6-Regression.html

<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>6-Regression</title>

<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>

<style type="text/css">
    /*!
*
* Twitter Bootstrap
*
*/
/*!
 * Bootstrap v3.3.6 (http://getbootstrap.com)
 * Copyright 2011-2015 Twitter, Inc.
 * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
 */
/*! normalize.css v3.0.3 | MIT License | github.com/necolas/normalize.css */
html {
  font-family: sans-serif;
  -ms-text-size-adjust: 100%;
  -webkit-text-size-adjust: 100%;
}
body {
  margin: 0;
}
article,
aside,
details,
figcaption,
figure,
footer,
header,
hgroup,
main,
menu,
nav,
section,
summary {
  display: block;
}
audio,
canvas,
progress,
video {
  display: inline-block;
  vertical-align: baseline;
}
audio:not([controls]) {
  display: none;
  height: 0;
}
[hidden],
template {
  display: none;
}
a {
  background-color: transparent;
}
a:active,
a:hover {
  outline: 0;
}
abbr[title] {
  border-bottom: 1px dotted;
}
b,
strong {
  font-weight: bold;
}
dfn {
  font-style: italic;
}
h1 {
  font-size: 2em;
  margin: 0.67em 0;
}
mark {
  background: #ff0;
  color: #000;
}
small {
  font-size: 80%;
}
sub,
sup {
  font-size: 75%;
  line-height: 0;
  position: relative;
  vertical-align: baseline;
}
sup {
  top: -0.5em;
}
sub {
  bottom: -0.25em;
}
img {
  border: 0;
}
svg:not(:root) {
  overflow: hidden;
}
figure {
  margin: 1em 40px;
}
hr {
  box-sizing: content-box;
  height: 0;
}
pre {
  overflow: auto;
}
code,
kbd,
pre,
samp {
  font-family: monospace, monospace;
  font-size: 1em;
}
button,
input,
optgroup,
select,
textarea {
  color: inherit;
  font: inherit;
  margin: 0;
}
button {
  overflow: visible;
}
button,
select {
  text-transform: none;
}
button,
html input[type="button"],
input[type="reset"],
input[type="submit"] {
  -webkit-appearance: button;
  cursor: pointer;
}
button[disabled],
html input[disabled] {
  cursor: default;
}
button::-moz-focus-inner,
input::-moz-focus-inner {
  border: 0;
  padding: 0;
}
input {
  line-height: normal;
}
input[type="checkbox"],
input[type="radio"] {
  box-sizing: border-box;
  padding: 0;
}
input[type="number"]::-webkit-inner-spin-button,
input[type="number"]::-webkit-outer-spin-button {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: textfield;
  box-sizing: content-box;
}
input[type="search"]::-webkit-search-cancel-button,
input[type="search"]::-webkit-search-decoration {
  -webkit-appearance: none;
}
fieldset {
  border: 1px solid #c0c0c0;
  margin: 0 2px;
  padding: 0.35em 0.625em 0.75em;
}
legend {
  border: 0;
  padding: 0;
}
textarea {
  overflow: auto;
}
optgroup {
  font-weight: bold;
}
table {
  border-collapse: collapse;
  border-spacing: 0;
}
td,
th {
  padding: 0;
}
/*! Source: https://github.com/h5bp/html5-boilerplate/blob/master/src/css/main.css */
@media print {
  *,
  *:before,
  *:after {
    background: transparent !important;
    color: #000 !important;
    box-shadow: none !important;
    text-shadow: none !important;
  }
  a,
  a:visited {
    text-decoration: underline;
  }
  a[href]:after {
    content: " (" attr(href) ")";
  }
  abbr[title]:after {
    content: " (" attr(title) ")";
  }
  a[href^="#"]:after,
  a[href^="javascript:"]:after {
    content: "";
  }
  pre,
  blockquote {
    border: 1px solid #999;
    page-break-inside: avoid;
  }
  thead {
    display: table-header-group;
  }
  tr,
  img {
    page-break-inside: avoid;
  }
  img {
    max-width: 100% !important;
  }
  p,
  h2,
  h3 {
    orphans: 3;
    widows: 3;
  }
  h2,
  h3 {
    page-break-after: avoid;
  }
  .navbar {
    display: none;
  }
  .btn > .caret,
  .dropup > .btn > .caret {
    border-top-color: #000 !important;
  }
  .label {
    border: 1px solid #000;
  }
  .table {
    border-collapse: collapse !important;
  }
  .table td,
  .table th {
    background-color: #fff !important;
  }
  .table-bordered th,
  .table-bordered td {
    border: 1px solid #ddd !important;
  }
}
@font-face {
  font-family: 'Glyphicons Halflings';
  src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot');
  src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot?#iefix') format('embedded-opentype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff2') format('woff2'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff') format('woff'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.ttf') format('truetype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.svg#glyphicons_halflingsregular') format('svg');
}
.glyphicon {
  position: relative;
  top: 1px;
  display: inline-block;
  font-family: 'Glyphicons Halflings';
  font-style: normal;
  font-weight: normal;
  line-height: 1;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
.glyphicon-asterisk:before {
  content: "\002a";
}
.glyphicon-plus:before {
  content: "\002b";
}
.glyphicon-euro:before,
.glyphicon-eur:before {
  content: "\20ac";
}
.glyphicon-minus:before {
  content: "\2212";
}
.glyphicon-cloud:before {
  content: "\2601";
}
.glyphicon-envelope:before {
  content: "\2709";
}
.glyphicon-pencil:before {
  content: "\270f";
}
.glyphicon-glass:before {
  content: "\e001";
}
.glyphicon-music:before {
  content: "\e002";
}
.glyphicon-search:before {
  content: "\e003";
}
.glyphicon-heart:before {
  content: "\e005";
}
.glyphicon-star:before {
  content: "\e006";
}
.glyphicon-star-empty:before {
  content: "\e007";
}
.glyphicon-user:before {
  content: "\e008";
}
.glyphicon-film:before {
  content: "\e009";
}
.glyphicon-th-large:before {
  content: "\e010";
}
.glyphicon-th:before {
  content: "\e011";
}
.glyphicon-th-list:before {
  content: "\e012";
}
.glyphicon-ok:before {
  content: "\e013";
}
.glyphicon-remove:before {
  content: "\e014";
}
.glyphicon-zoom-in:before {
  content: "\e015";
}
.glyphicon-zoom-out:before {
  content: "\e016";
}
.glyphicon-off:before {
  content: "\e017";
}
.glyphicon-signal:before {
  content: "\e018";
}
.glyphicon-cog:before {
  content: "\e019";
}
.glyphicon-trash:before {
  content: "\e020";
}
.glyphicon-home:before {
  content: "\e021";
}
.glyphicon-file:before {
  content: "\e022";
}
.glyphicon-time:before {
  content: "\e023";
}
.glyphicon-road:before {
  content: "\e024";
}
.glyphicon-download-alt:before {
  content: "\e025";
}
.glyphicon-download:before {
  content: "\e026";
}
.glyphicon-upload:before {
  content: "\e027";
}
.glyphicon-inbox:before {
  content: "\e028";
}
.glyphicon-play-circle:before {
  content: "\e029";
}
.glyphicon-repeat:before {
  content: "\e030";
}
.glyphicon-refresh:before {
  content: "\e031";
}
.glyphicon-list-alt:before {
  content: "\e032";
}
.glyphicon-lock:before {
  content: "\e033";
}
.glyphicon-flag:before {
  content: "\e034";
}
.glyphicon-headphones:before {
  content: "\e035";
}
.glyphicon-volume-off:before {
  content: "\e036";
}
.glyphicon-volume-down:before {
  content: "\e037";
}
.glyphicon-volume-up:before {
  content: "\e038";
}
.glyphicon-qrcode:before {
  content: "\e039";
}
.glyphicon-barcode:before {
  content: "\e040";
}
.glyphicon-tag:before {
  content: "\e041";
}
.glyphicon-tags:before {
  content: "\e042";
}
.glyphicon-book:before {
  content: "\e043";
}
.glyphicon-bookmark:before {
  content: "\e044";
}
.glyphicon-print:before {
  content: "\e045";
}
.glyphicon-camera:before {
  content: "\e046";
}
.glyphicon-font:before {
  content: "\e047";
}
.glyphicon-bold:before {
  content: "\e048";
}
.glyphicon-italic:before {
  content: "\e049";
}
.glyphicon-text-height:before {
  content: "\e050";
}
.glyphicon-text-width:before {
  content: "\e051";
}
.glyphicon-align-left:before {
  content: "\e052";
}
.glyphicon-align-center:before {
  content: "\e053";
}
.glyphicon-align-right:before {
  content: "\e054";
}
.glyphicon-align-justify:before {
  content: "\e055";
}
.glyphicon-list:before {
  content: "\e056";
}
.glyphicon-indent-left:before {
  content: "\e057";
}
.glyphicon-indent-right:before {
  content: "\e058";
}
.glyphicon-facetime-video:before {
  content: "\e059";
}
.glyphicon-picture:before {
  content: "\e060";
}
.glyphicon-map-marker:before {
  content: "\e062";
}
.glyphicon-adjust:before {
  content: "\e063";
}
.glyphicon-tint:before {
  content: "\e064";
}
.glyphicon-edit:before {
  content: "\e065";
}
.glyphicon-share:before {
  content: "\e066";
}
.glyphicon-check:before {
  content: "\e067";
}
.glyphicon-move:before {
  content: "\e068";
}
.glyphicon-step-backward:before {
  content: "\e069";
}
.glyphicon-fast-backward:before {
  content: "\e070";
}
.glyphicon-backward:before {
  content: "\e071";
}
.glyphicon-play:before {
  content: "\e072";
}
.glyphicon-pause:before {
  content: "\e073";
}
.glyphicon-stop:before {
  content: "\e074";
}
.glyphicon-forward:before {
  content: "\e075";
}
.glyphicon-fast-forward:before {
  content: "\e076";
}
.glyphicon-step-forward:before {
  content: "\e077";
}
.glyphicon-eject:before {
  content: "\e078";
}
.glyphicon-chevron-left:before {
  content: "\e079";
}
.glyphicon-chevron-right:before {
  content: "\e080";
}
.glyphicon-plus-sign:before {
  content: "\e081";
}
.glyphicon-minus-sign:before {
  content: "\e082";
}
.glyphicon-remove-sign:before {
  content: "\e083";
}
.glyphicon-ok-sign:before {
  content: "\e084";
}
.glyphicon-question-sign:before {
  content: "\e085";
}
.glyphicon-info-sign:before {
  content: "\e086";
}
.glyphicon-screenshot:before {
  content: "\e087";
}
.glyphicon-remove-circle:before {
  content: "\e088";
}
.glyphicon-ok-circle:before {
  content: "\e089";
}
.glyphicon-ban-circle:before {
  content: "\e090";
}
.glyphicon-arrow-left:before {
  content: "\e091";
}
.glyphicon-arrow-right:before {
  content: "\e092";
}
.glyphicon-arrow-up:before {
  content: "\e093";
}
.glyphicon-arrow-down:before {
  content: "\e094";
}
.glyphicon-share-alt:before {
  content: "\e095";
}
.glyphicon-resize-full:before {
  content: "\e096";
}
.glyphicon-resize-small:before {
  content: "\e097";
}
.glyphicon-exclamation-sign:before {
  content: "\e101";
}
.glyphicon-gift:before {
  content: "\e102";
}
.glyphicon-leaf:before {
  content: "\e103";
}
.glyphicon-fire:before {
  content: "\e104";
}
.glyphicon-eye-open:before {
  content: "\e105";
}
.glyphicon-eye-close:before {
  content: "\e106";
}
.glyphicon-warning-sign:before {
  content: "\e107";
}
.glyphicon-plane:before {
  content: "\e108";
}
.glyphicon-calendar:before {
  content: "\e109";
}
.glyphicon-random:before {
  content: "\e110";
}
.glyphicon-comment:before {
  content: "\e111";
}
.glyphicon-magnet:before {
  content: "\e112";
}
.glyphicon-chevron-up:before {
  content: "\e113";
}
.glyphicon-chevron-down:before {
  content: "\e114";
}
.glyphicon-retweet:before {
  content: "\e115";
}
.glyphicon-shopping-cart:before {
  content: "\e116";
}
.glyphicon-folder-close:before {
  content: "\e117";
}
.glyphicon-folder-open:before {
  content: "\e118";
}
.glyphicon-resize-vertical:before {
  content: "\e119";
}
.glyphicon-resize-horizontal:before {
  content: "\e120";
}
.glyphicon-hdd:before {
  content: "\e121";
}
.glyphicon-bullhorn:before {
  content: "\e122";
}
.glyphicon-bell:before {
  content: "\e123";
}
.glyphicon-certificate:before {
  content: "\e124";
}
.glyphicon-thumbs-up:before {
  content: "\e125";
}
.glyphicon-thumbs-down:before {
  content: "\e126";
}
.glyphicon-hand-right:before {
  content: "\e127";
}
.glyphicon-hand-left:before {
  content: "\e128";
}
.glyphicon-hand-up:before {
  content: "\e129";
}
.glyphicon-hand-down:before {
  content: "\e130";
}
.glyphicon-circle-arrow-right:before {
  content: "\e131";
}
.glyphicon-circle-arrow-left:before {
  content: "\e132";
}
.glyphicon-circle-arrow-up:before {
  content: "\e133";
}
.glyphicon-circle-arrow-down:before {
  content: "\e134";
}
.glyphicon-globe:before {
  content: "\e135";
}
.glyphicon-wrench:before {
  content: "\e136";
}
.glyphicon-tasks:before {
  content: "\e137";
}
.glyphicon-filter:before {
  content: "\e138";
}
.glyphicon-briefcase:before {
  content: "\e139";
}
.glyphicon-fullscreen:before {
  content: "\e140";
}
.glyphicon-dashboard:before {
  content: "\e141";
}
.glyphicon-paperclip:before {
  content: "\e142";
}
.glyphicon-heart-empty:before {
  content: "\e143";
}
.glyphicon-link:before {
  content: "\e144";
}
.glyphicon-phone:before {
  content: "\e145";
}
.glyphicon-pushpin:before {
  content: "\e146";
}
.glyphicon-usd:before {
  content: "\e148";
}
.glyphicon-gbp:before {
  content: "\e149";
}
.glyphicon-sort:before {
  content: "\e150";
}
.glyphicon-sort-by-alphabet:before {
  content: "\e151";
}
.glyphicon-sort-by-alphabet-alt:before {
  content: "\e152";
}
.glyphicon-sort-by-order:before {
  content: "\e153";
}
.glyphicon-sort-by-order-alt:before {
  content: "\e154";
}
.glyphicon-sort-by-attributes:before {
  content: "\e155";
}
.glyphicon-sort-by-attributes-alt:before {
  content: "\e156";
}
.glyphicon-unchecked:before {
  content: "\e157";
}
.glyphicon-expand:before {
  content: "\e158";
}
.glyphicon-collapse-down:before {
  content: "\e159";
}
.glyphicon-collapse-up:before {
  content: "\e160";
}
.glyphicon-log-in:before {
  content: "\e161";
}
.glyphicon-flash:before {
  content: "\e162";
}
.glyphicon-log-out:before {
  content: "\e163";
}
.glyphicon-new-window:before {
  content: "\e164";
}
.glyphicon-record:before {
  content: "\e165";
}
.glyphicon-save:before {
  content: "\e166";
}
.glyphicon-open:before {
  content: "\e167";
}
.glyphicon-saved:before {
  content: "\e168";
}
.glyphicon-import:before {
  content: "\e169";
}
.glyphicon-export:before {
  content: "\e170";
}
.glyphicon-send:before {
  content: "\e171";
}
.glyphicon-floppy-disk:before {
  content: "\e172";
}
.glyphicon-floppy-saved:before {
  content: "\e173";
}
.glyphicon-floppy-remove:before {
  content: "\e174";
}
.glyphicon-floppy-save:before {
  content: "\e175";
}
.glyphicon-floppy-open:before {
  content: "\e176";
}
.glyphicon-credit-card:before {
  content: "\e177";
}
.glyphicon-transfer:before {
  content: "\e178";
}
.glyphicon-cutlery:before {
  content: "\e179";
}
.glyphicon-header:before {
  content: "\e180";
}
.glyphicon-compressed:before {
  content: "\e181";
}
.glyphicon-earphone:before {
  content: "\e182";
}
.glyphicon-phone-alt:before {
  content: "\e183";
}
.glyphicon-tower:before {
  content: "\e184";
}
.glyphicon-stats:before {
  content: "\e185";
}
.glyphicon-sd-video:before {
  content: "\e186";
}
.glyphicon-hd-video:before {
  content: "\e187";
}
.glyphicon-subtitles:before {
  content: "\e188";
}
.glyphicon-sound-stereo:before {
  content: "\e189";
}
.glyphicon-sound-dolby:before {
  content: "\e190";
}
.glyphicon-sound-5-1:before {
  content: "\e191";
}
.glyphicon-sound-6-1:before {
  content: "\e192";
}
.glyphicon-sound-7-1:before {
  content: "\e193";
}
.glyphicon-copyright-mark:before {
  content: "\e194";
}
.glyphicon-registration-mark:before {
  content: "\e195";
}
.glyphicon-cloud-download:before {
  content: "\e197";
}
.glyphicon-cloud-upload:before {
  content: "\e198";
}
.glyphicon-tree-conifer:before {
  content: "\e199";
}
.glyphicon-tree-deciduous:before {
  content: "\e200";
}
.glyphicon-cd:before {
  content: "\e201";
}
.glyphicon-save-file:before {
  content: "\e202";
}
.glyphicon-open-file:before {
  content: "\e203";
}
.glyphicon-level-up:before {
  content: "\e204";
}
.glyphicon-copy:before {
  content: "\e205";
}
.glyphicon-paste:before {
  content: "\e206";
}
.glyphicon-alert:before {
  content: "\e209";
}
.glyphicon-equalizer:before {
  content: "\e210";
}
.glyphicon-king:before {
  content: "\e211";
}
.glyphicon-queen:before {
  content: "\e212";
}
.glyphicon-pawn:before {
  content: "\e213";
}
.glyphicon-bishop:before {
  content: "\e214";
}
.glyphicon-knight:before {
  content: "\e215";
}
.glyphicon-baby-formula:before {
  content: "\e216";
}
.glyphicon-tent:before {
  content: "\26fa";
}
.glyphicon-blackboard:before {
  content: "\e218";
}
.glyphicon-bed:before {
  content: "\e219";
}
.glyphicon-apple:before {
  content: "\f8ff";
}
.glyphicon-erase:before {
  content: "\e221";
}
.glyphicon-hourglass:before {
  content: "\231b";
}
.glyphicon-lamp:before {
  content: "\e223";
}
.glyphicon-duplicate:before {
  content: "\e224";
}
.glyphicon-piggy-bank:before {
  content: "\e225";
}
.glyphicon-scissors:before {
  content: "\e226";
}
.glyphicon-bitcoin:before {
  content: "\e227";
}
.glyphicon-btc:before {
  content: "\e227";
}
.glyphicon-xbt:before {
  content: "\e227";
}
.glyphicon-yen:before {
  content: "\00a5";
}
.glyphicon-jpy:before {
  content: "\00a5";
}
.glyphicon-ruble:before {
  content: "\20bd";
}
.glyphicon-rub:before {
  content: "\20bd";
}
.glyphicon-scale:before {
  content: "\e230";
}
.glyphicon-ice-lolly:before {
  content: "\e231";
}
.glyphicon-ice-lolly-tasted:before {
  content: "\e232";
}
.glyphicon-education:before {
  content: "\e233";
}
.glyphicon-option-horizontal:before {
  content: "\e234";
}
.glyphicon-option-vertical:before {
  content: "\e235";
}
.glyphicon-menu-hamburger:before {
  content: "\e236";
}
.glyphicon-modal-window:before {
  content: "\e237";
}
.glyphicon-oil:before {
  content: "\e238";
}
.glyphicon-grain:before {
  content: "\e239";
}
.glyphicon-sunglasses:before {
  content: "\e240";
}
.glyphicon-text-size:before {
  content: "\e241";
}
.glyphicon-text-color:before {
  content: "\e242";
}
.glyphicon-text-background:before {
  content: "\e243";
}
.glyphicon-object-align-top:before {
  content: "\e244";
}
.glyphicon-object-align-bottom:before {
  content: "\e245";
}
.glyphicon-object-align-horizontal:before {
  content: "\e246";
}
.glyphicon-object-align-left:before {
  content: "\e247";
}
.glyphicon-object-align-vertical:before {
  content: "\e248";
}
.glyphicon-object-align-right:before {
  content: "\e249";
}
.glyphicon-triangle-right:before {
  content: "\e250";
}
.glyphicon-triangle-left:before {
  content: "\e251";
}
.glyphicon-triangle-bottom:before {
  content: "\e252";
}
.glyphicon-triangle-top:before {
  content: "\e253";
}
.glyphicon-console:before {
  content: "\e254";
}
.glyphicon-superscript:before {
  content: "\e255";
}
.glyphicon-subscript:before {
  content: "\e256";
}
.glyphicon-menu-left:before {
  content: "\e257";
}
.glyphicon-menu-right:before {
  content: "\e258";
}
.glyphicon-menu-down:before {
  content: "\e259";
}
.glyphicon-menu-up:before {
  content: "\e260";
}
* {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
*:before,
*:after {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
html {
  font-size: 10px;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 13px;
  line-height: 1.42857143;
  color: #000;
  background-color: #fff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #337ab7;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #23527c;
  text-decoration: underline;
}
a:focus {
  outline: thin dotted;
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
figure {
  margin: 0;
}
img {
  vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  display: block;
  max-width: 100%;
  height: auto;
}
.img-rounded {
  border-radius: 3px;
}
.img-thumbnail {
  padding: 4px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: all 0.2s ease-in-out;
  -o-transition: all 0.2s ease-in-out;
  transition: all 0.2s ease-in-out;
  display: inline-block;
  max-width: 100%;
  height: auto;
}
.img-circle {
  border-radius: 50%;
}
hr {
  margin-top: 18px;
  margin-bottom: 18px;
  border: 0;
  border-top: 1px solid #eeeeee;
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  margin: -1px;
  padding: 0;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
[role="button"] {
  cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
  font-family: inherit;
  font-weight: 500;
  line-height: 1.1;
  color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
  font-weight: normal;
  line-height: 1;
  color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
  margin-top: 18px;
  margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
  font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
  margin-top: 9px;
  margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
  font-size: 75%;
}
h1,
.h1 {
  font-size: 33px;
}
h2,
.h2 {
  font-size: 27px;
}
h3,
.h3 {
  font-size: 23px;
}
h4,
.h4 {
  font-size: 17px;
}
h5,
.h5 {
  font-size: 13px;
}
h6,
.h6 {
  font-size: 12px;
}
p {
  margin: 0 0 9px;
}
.lead {
  margin-bottom: 18px;
  font-size: 14px;
  font-weight: 300;
  line-height: 1.4;
}
@media (min-width: 768px) {
  .lead {
    font-size: 19.5px;
  }
}
small,
.small {
  font-size: 92%;
}
mark,
.mark {
  background-color: #fcf8e3;
  padding: .2em;
}
.text-left {
  text-align: left;
}
.text-right {
  text-align: right;
}
.text-center {
  text-align: center;
}
.text-justify {
  text-align: justify;
}
.text-nowrap {
  white-space: nowrap;
}
.text-lowercase {
  text-transform: lowercase;
}
.text-uppercase {
  text-transform: uppercase;
}
.text-capitalize {
  text-transform: capitalize;
}
.text-muted {
  color: #777777;
}
.text-primary {
  color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
  color: #286090;
}
.text-success {
  color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
  color: #2b542c;
}
.text-info {
  color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
  color: #245269;
}
.text-warning {
  color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
  color: #66512c;
}
.text-danger {
  color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
  color: #843534;
}
.bg-primary {
  color: #fff;
  background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
  background-color: #286090;
}
.bg-success {
  background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
  background-color: #c1e2b3;
}
.bg-info {
  background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
  background-color: #afd9ee;
}
.bg-warning {
  background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
  background-color: #f7ecb5;
}
.bg-danger {
  background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
  background-color: #e4b9b9;
}
.page-header {
  padding-bottom: 8px;
  margin: 36px 0 18px;
  border-bottom: 1px solid #eeeeee;
}
ul,
ol {
  margin-top: 0;
  margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
  margin-bottom: 0;
}
.list-unstyled {
  padding-left: 0;
  list-style: none;
}
.list-inline {
  padding-left: 0;
  list-style: none;
  margin-left: -5px;
}
.list-inline > li {
  display: inline-block;
  padding-left: 5px;
  padding-right: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: bold;
}
dd {
  margin-left: 0;
}
@media (min-width: 541px) {
  .dl-horizontal dt {
    float: left;
    width: 160px;
    clear: left;
    text-align: right;
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
  }
  .dl-horizontal dd {
    margin-left: 180px;
  }
}
abbr[title],
abbr[data-original-title] {
  cursor: help;
  border-bottom: 1px dotted #777777;
}
.initialism {
  font-size: 90%;
  text-transform: uppercase;
}
blockquote {
  padding: 9px 18px;
  margin: 0 0 18px;
  font-size: inherit;
  border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
  margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
  display: block;
  font-size: 80%;
  line-height: 1.42857143;
  color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
  content: '\2014 \00A0';
}
.blockquote-reverse,
blockquote.pull-right {
  padding-right: 15px;
  padding-left: 0;
  border-right: 5px solid #eeeeee;
  border-left: 0;
  text-align: right;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
  content: '';
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
  content: '\00A0 \2014';
}
address {
  margin-bottom: 18px;
  font-style: normal;
  line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
  font-family: monospace;
}
code {
  padding: 2px 4px;
  font-size: 90%;
  color: #c7254e;
  background-color: #f9f2f4;
  border-radius: 2px;
}
kbd {
  padding: 2px 4px;
  font-size: 90%;
  color: #888;
  background-color: transparent;
  border-radius: 1px;
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
  padding: 0;
  font-size: 100%;
  font-weight: bold;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  word-break: break-all;
  word-wrap: break-word;
  color: #333333;
  background-color: #f5f5f5;
  border: 1px solid #ccc;
  border-radius: 2px;
}
pre code {
  padding: 0;
  font-size: inherit;
  color: inherit;
  white-space: pre-wrap;
  background-color: transparent;
  border-radius: 0;
}
.pre-scrollable {
  max-height: 340px;
  overflow-y: scroll;
}
.container {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
.row {
  margin-left: 0px;
  margin-right: 0px;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
  position: relative;
  min-height: 1px;
  padding-left: 0px;
  padding-right: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
  float: left;
}
.col-xs-12 {
  width: 100%;
}
.col-xs-11 {
  width: 91.66666667%;
}
.col-xs-10 {
  width: 83.33333333%;
}
.col-xs-9 {
  width: 75%;
}
.col-xs-8 {
  width: 66.66666667%;
}
.col-xs-7 {
  width: 58.33333333%;
}
.col-xs-6 {
  width: 50%;
}
.col-xs-5 {
  width: 41.66666667%;
}
.col-xs-4 {
  width: 33.33333333%;
}
.col-xs-3 {
  width: 25%;
}
.col-xs-2 {
  width: 16.66666667%;
}
.col-xs-1 {
  width: 8.33333333%;
}
.col-xs-pull-12 {
  right: 100%;
}
.col-xs-pull-11 {
  right: 91.66666667%;
}
.col-xs-pull-10 {
  right: 83.33333333%;
}
.col-xs-pull-9 {
  right: 75%;
}
.col-xs-pull-8 {
  right: 66.66666667%;
}
.col-xs-pull-7 {
  right: 58.33333333%;
}
.col-xs-pull-6 {
  right: 50%;
}
.col-xs-pull-5 {
  right: 41.66666667%;
}
.col-xs-pull-4 {
  right: 33.33333333%;
}
.col-xs-pull-3 {
  right: 25%;
}
.col-xs-pull-2 {
  right: 16.66666667%;
}
.col-xs-pull-1 {
  right: 8.33333333%;
}
.col-xs-pull-0 {
  right: auto;
}
.col-xs-push-12 {
  left: 100%;
}
.col-xs-push-11 {
  left: 91.66666667%;
}
.col-xs-push-10 {
  left: 83.33333333%;
}
.col-xs-push-9 {
  left: 75%;
}
.col-xs-push-8 {
  left: 66.66666667%;
}
.col-xs-push-7 {
  left: 58.33333333%;
}
.col-xs-push-6 {
  left: 50%;
}
.col-xs-push-5 {
  left: 41.66666667%;
}
.col-xs-push-4 {
  left: 33.33333333%;
}
.col-xs-push-3 {
  left: 25%;
}
.col-xs-push-2 {
  left: 16.66666667%;
}
.col-xs-push-1 {
  left: 8.33333333%;
}
.col-xs-push-0 {
  left: auto;
}
.col-xs-offset-12 {
  margin-left: 100%;
}
.col-xs-offset-11 {
  margin-left: 91.66666667%;
}
.col-xs-offset-10 {
  margin-left: 83.33333333%;
}
.col-xs-offset-9 {
  margin-left: 75%;
}
.col-xs-offset-8 {
  margin-left: 66.66666667%;
}
.col-xs-offset-7 {
  margin-left: 58.33333333%;
}
.col-xs-offset-6 {
  margin-left: 50%;
}
.col-xs-offset-5 {
  margin-left: 41.66666667%;
}
.col-xs-offset-4 {
  margin-left: 33.33333333%;
}
.col-xs-offset-3 {
  margin-left: 25%;
}
.col-xs-offset-2 {
  margin-left: 16.66666667%;
}
.col-xs-offset-1 {
  margin-left: 8.33333333%;
}
.col-xs-offset-0 {
  margin-left: 0%;
}
@media (min-width: 768px) {
  .col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
    float: left;
  }
  .col-sm-12 {
    width: 100%;
  }
  .col-sm-11 {
    width: 91.66666667%;
  }
  .col-sm-10 {
    width: 83.33333333%;
  }
  .col-sm-9 {
    width: 75%;
  }
  .col-sm-8 {
    width: 66.66666667%;
  }
  .col-sm-7 {
    width: 58.33333333%;
  }
  .col-sm-6 {
    width: 50%;
  }
  .col-sm-5 {
    width: 41.66666667%;
  }
  .col-sm-4 {
    width: 33.33333333%;
  }
  .col-sm-3 {
    width: 25%;
  }
  .col-sm-2 {
    width: 16.66666667%;
  }
  .col-sm-1 {
    width: 8.33333333%;
  }
  .col-sm-pull-12 {
    right: 100%;
  }
  .col-sm-pull-11 {
    right: 91.66666667%;
  }
  .col-sm-pull-10 {
    right: 83.33333333%;
  }
  .col-sm-pull-9 {
    right: 75%;
  }
  .col-sm-pull-8 {
    right: 66.66666667%;
  }
  .col-sm-pull-7 {
    right: 58.33333333%;
  }
  .col-sm-pull-6 {
    right: 50%;
  }
  .col-sm-pull-5 {
    right: 41.66666667%;
  }
  .col-sm-pull-4 {
    right: 33.33333333%;
  }
  .col-sm-pull-3 {
    right: 25%;
  }
  .col-sm-pull-2 {
    right: 16.66666667%;
  }
  .col-sm-pull-1 {
    right: 8.33333333%;
  }
  .col-sm-pull-0 {
    right: auto;
  }
  .col-sm-push-12 {
    left: 100%;
  }
  .col-sm-push-11 {
    left: 91.66666667%;
  }
  .col-sm-push-10 {
    left: 83.33333333%;
  }
  .col-sm-push-9 {
    left: 75%;
  }
  .col-sm-push-8 {
    left: 66.66666667%;
  }
  .col-sm-push-7 {
    left: 58.33333333%;
  }
  .col-sm-push-6 {
    left: 50%;
  }
  .col-sm-push-5 {
    left: 41.66666667%;
  }
  .col-sm-push-4 {
    left: 33.33333333%;
  }
  .col-sm-push-3 {
    left: 25%;
  }
  .col-sm-push-2 {
    left: 16.66666667%;
  }
  .col-sm-push-1 {
    left: 8.33333333%;
  }
  .col-sm-push-0 {
    left: auto;
  }
  .col-sm-offset-12 {
    margin-left: 100%;
  }
  .col-sm-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-sm-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-sm-offset-9 {
    margin-left: 75%;
  }
  .col-sm-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-sm-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-sm-offset-6 {
    margin-left: 50%;
  }
  .col-sm-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-sm-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-sm-offset-3 {
    margin-left: 25%;
  }
  .col-sm-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-sm-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-sm-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 992px) {
  .col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
    float: left;
  }
  .col-md-12 {
    width: 100%;
  }
  .col-md-11 {
    width: 91.66666667%;
  }
  .col-md-10 {
    width: 83.33333333%;
  }
  .col-md-9 {
    width: 75%;
  }
  .col-md-8 {
    width: 66.66666667%;
  }
  .col-md-7 {
    width: 58.33333333%;
  }
  .col-md-6 {
    width: 50%;
  }
  .col-md-5 {
    width: 41.66666667%;
  }
  .col-md-4 {
    width: 33.33333333%;
  }
  .col-md-3 {
    width: 25%;
  }
  .col-md-2 {
    width: 16.66666667%;
  }
  .col-md-1 {
    width: 8.33333333%;
  }
  .col-md-pull-12 {
    right: 100%;
  }
  .col-md-pull-11 {
    right: 91.66666667%;
  }
  .col-md-pull-10 {
    right: 83.33333333%;
  }
  .col-md-pull-9 {
    right: 75%;
  }
  .col-md-pull-8 {
    right: 66.66666667%;
  }
  .col-md-pull-7 {
    right: 58.33333333%;
  }
  .col-md-pull-6 {
    right: 50%;
  }
  .col-md-pull-5 {
    right: 41.66666667%;
  }
  .col-md-pull-4 {
    right: 33.33333333%;
  }
  .col-md-pull-3 {
    right: 25%;
  }
  .col-md-pull-2 {
    right: 16.66666667%;
  }
  .col-md-pull-1 {
    right: 8.33333333%;
  }
  .col-md-pull-0 {
    right: auto;
  }
  .col-md-push-12 {
    left: 100%;
  }
  .col-md-push-11 {
    left: 91.66666667%;
  }
  .col-md-push-10 {
    left: 83.33333333%;
  }
  .col-md-push-9 {
    left: 75%;
  }
  .col-md-push-8 {
    left: 66.66666667%;
  }
  .col-md-push-7 {
    left: 58.33333333%;
  }
  .col-md-push-6 {
    left: 50%;
  }
  .col-md-push-5 {
    left: 41.66666667%;
  }
  .col-md-push-4 {
    left: 33.33333333%;
  }
  .col-md-push-3 {
    left: 25%;
  }
  .col-md-push-2 {
    left: 16.66666667%;
  }
  .col-md-push-1 {
    left: 8.33333333%;
  }
  .col-md-push-0 {
    left: auto;
  }
  .col-md-offset-12 {
    margin-left: 100%;
  }
  .col-md-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-md-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-md-offset-9 {
    margin-left: 75%;
  }
  .col-md-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-md-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-md-offset-6 {
    margin-left: 50%;
  }
  .col-md-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-md-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-md-offset-3 {
    margin-left: 25%;
  }
  .col-md-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-md-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-md-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 1200px) {
  .col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
    float: left;
  }
  .col-lg-12 {
    width: 100%;
  }
  .col-lg-11 {
    width: 91.66666667%;
  }
  .col-lg-10 {
    width: 83.33333333%;
  }
  .col-lg-9 {
    width: 75%;
  }
  .col-lg-8 {
    width: 66.66666667%;
  }
  .col-lg-7 {
    width: 58.33333333%;
  }
  .col-lg-6 {
    width: 50%;
  }
  .col-lg-5 {
    width: 41.66666667%;
  }
  .col-lg-4 {
    width: 33.33333333%;
  }
  .col-lg-3 {
    width: 25%;
  }
  .col-lg-2 {
    width: 16.66666667%;
  }
  .col-lg-1 {
    width: 8.33333333%;
  }
  .col-lg-pull-12 {
    right: 100%;
  }
  .col-lg-pull-11 {
    right: 91.66666667%;
  }
  .col-lg-pull-10 {
    right: 83.33333333%;
  }
  .col-lg-pull-9 {
    right: 75%;
  }
  .col-lg-pull-8 {
    right: 66.66666667%;
  }
  .col-lg-pull-7 {
    right: 58.33333333%;
  }
  .col-lg-pull-6 {
    right: 50%;
  }
  .col-lg-pull-5 {
    right: 41.66666667%;
  }
  .col-lg-pull-4 {
    right: 33.33333333%;
  }
  .col-lg-pull-3 {
    right: 25%;
  }
  .col-lg-pull-2 {
    right: 16.66666667%;
  }
  .col-lg-pull-1 {
    right: 8.33333333%;
  }
  .col-lg-pull-0 {
    right: auto;
  }
  .col-lg-push-12 {
    left: 100%;
  }
  .col-lg-push-11 {
    left: 91.66666667%;
  }
  .col-lg-push-10 {
    left: 83.33333333%;
  }
  .col-lg-push-9 {
    left: 75%;
  }
  .col-lg-push-8 {
    left: 66.66666667%;
  }
  .col-lg-push-7 {
    left: 58.33333333%;
  }
  .col-lg-push-6 {
    left: 50%;
  }
  .col-lg-push-5 {
    left: 41.66666667%;
  }
  .col-lg-push-4 {
    left: 33.33333333%;
  }
  .col-lg-push-3 {
    left: 25%;
  }
  .col-lg-push-2 {
    left: 16.66666667%;
  }
  .col-lg-push-1 {
    left: 8.33333333%;
  }
  .col-lg-push-0 {
    left: auto;
  }
  .col-lg-offset-12 {
    margin-left: 100%;
  }
  .col-lg-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-lg-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-lg-offset-9 {
    margin-left: 75%;
  }
  .col-lg-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-lg-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-lg-offset-6 {
    margin-left: 50%;
  }
  .col-lg-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-lg-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-lg-offset-3 {
    margin-left: 25%;
  }
  .col-lg-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-lg-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-lg-offset-0 {
    margin-left: 0%;
  }
}
table {
  background-color: transparent;
}
caption {
  padding-top: 8px;
  padding-bottom: 8px;
  color: #777777;
  text-align: left;
}
th {
  text-align: left;
}
.table {
  width: 100%;
  max-width: 100%;
  margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
  padding: 8px;
  line-height: 1.42857143;
  vertical-align: top;
  border-top: 1px solid #ddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #ddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
  border-top: 0;
}
.table > tbody + tbody {
  border-top: 2px solid #ddd;
}
.table .table {
  background-color: #fff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
  padding: 5px;
}
.table-bordered {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
  border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
  background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
  background-color: #f5f5f5;
}
table col[class*="col-"] {
  position: static;
  float: none;
  display: table-column;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  float: none;
  display: table-cell;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
  background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
  background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
  background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
  background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
  background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
  background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
  background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
  background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
  background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
  background-color: #ebcccc;
}
.table-responsive {
  overflow-x: auto;
  min-height: 0.01%;
}
@media screen and (max-width: 767px) {
  .table-responsive {
    width: 100%;
    margin-bottom: 13.5px;
    overflow-y: hidden;
    -ms-overflow-style: -ms-autohiding-scrollbar;
    border: 1px solid #ddd;
  }
  .table-responsive > .table {
    margin-bottom: 0;
  }
  .table-responsive > .table > thead > tr > th,
  .table-responsive > .table > tbody > tr > th,
  .table-responsive > .table > tfoot > tr > th,
  .table-responsive > .table > thead > tr > td,
  .table-responsive > .table > tbody > tr > td,
  .table-responsive > .table > tfoot > tr > td {
    white-space: nowrap;
  }
  .table-responsive > .table-bordered {
    border: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:first-child,
  .table-responsive > .table-bordered > tbody > tr > th:first-child,
  .table-responsive > .table-bordered > tfoot > tr > th:first-child,
  .table-responsive > .table-bordered > thead > tr > td:first-child,
  .table-responsive > .table-bordered > tbody > tr > td:first-child,
  .table-responsive > .table-bordered > tfoot > tr > td:first-child {
    border-left: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:last-child,
  .table-responsive > .table-bordered > tbody > tr > th:last-child,
  .table-responsive > .table-bordered > tfoot > tr > th:last-child,
  .table-responsive > .table-bordered > thead > tr > td:last-child,
  .table-responsive > .table-bordered > tbody > tr > td:last-child,
  .table-responsive > .table-bordered > tfoot > tr > td:last-child {
    border-right: 0;
  }
  .table-responsive > .table-bordered > tbody > tr:last-child > th,
  .table-responsive > .table-bordered > tfoot > tr:last-child > th,
  .table-responsive > .table-bordered > tbody > tr:last-child > td,
  .table-responsive > .table-bordered > tfoot > tr:last-child > td {
    border-bottom: 0;
  }
}
fieldset {
  padding: 0;
  margin: 0;
  border: 0;
  min-width: 0;
}
legend {
  display: block;
  width: 100%;
  padding: 0;
  margin-bottom: 18px;
  font-size: 19.5px;
  line-height: inherit;
  color: #333333;
  border: 0;
  border-bottom: 1px solid #e5e5e5;
}
label {
  display: inline-block;
  max-width: 100%;
  margin-bottom: 5px;
  font-weight: bold;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
input[type="file"] {
  display: block;
}
input[type="range"] {
  display: block;
  width: 100%;
}
select[multiple],
select[size] {
  height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
  outline: thin dotted;
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
output {
  display: block;
  padding-top: 7px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
}
.form-control {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999;
}
.form-control::-webkit-input-placeholder {
  color: #999;
}
.form-control::-ms-expand {
  border: 0;
  background-color: transparent;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
  background-color: #eeeeee;
  opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
  cursor: not-allowed;
}
textarea.form-control {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: none;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
  input[type="date"].form-control,
  input[type="time"].form-control,
  input[type="datetime-local"].form-control,
  input[type="month"].form-control {
    line-height: 32px;
  }
  input[type="date"].input-sm,
  input[type="time"].input-sm,
  input[type="datetime-local"].input-sm,
  input[type="month"].input-sm,
  .input-group-sm input[type="date"],
  .input-group-sm input[type="time"],
  .input-group-sm input[type="datetime-local"],
  .input-group-sm input[type="month"] {
    line-height: 30px;
  }
  input[type="date"].input-lg,
  input[type="time"].input-lg,
  input[type="datetime-local"].input-lg,
  input[type="month"].input-lg,
  .input-group-lg input[type="date"],
  .input-group-lg input[type="time"],
  .input-group-lg input[type="datetime-local"],
  .input-group-lg input[type="month"] {
    line-height: 45px;
  }
}
.form-group {
  margin-bottom: 15px;
}
.radio,
.checkbox {
  position: relative;
  display: block;
  margin-top: 10px;
  margin-bottom: 10px;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: normal;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-left: -20px;
  margin-top: 4px \9;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  vertical-align: middle;
  font-weight: normal;
  cursor: pointer;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
  cursor: not-allowed;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.form-control-static {
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
  min-height: 31px;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-left: 0;
  padding-right: 0;
}
.input-sm {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-sm {
  height: 30px;
  line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
  height: auto;
}
.form-group-sm .form-control {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.form-group-sm select.form-control {
  height: 30px;
  line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
  height: auto;
}
.form-group-sm .form-control-static {
  height: 30px;
  min-height: 30px;
  padding: 6px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.input-lg {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-lg {
  height: 45px;
  line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
  height: auto;
}
.form-group-lg .form-control {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.form-group-lg select.form-control {
  height: 45px;
  line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
  height: auto;
}
.form-group-lg .form-control-static {
  height: 45px;
  min-height: 35px;
  padding: 11px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.has-feedback {
  position: relative;
}
.has-feedback .form-control {
  padding-right: 40px;
}
.form-control-feedback {
  position: absolute;
  top: 0;
  right: 0;
  z-index: 2;
  display: block;
  width: 32px;
  height: 32px;
  line-height: 32px;
  text-align: center;
  pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
  width: 45px;
  height: 45px;
  line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
  width: 30px;
  height: 30px;
  line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
  color: #3c763d;
}
.has-success .form-control {
  border-color: #3c763d;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
  border-color: #2b542c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
  color: #3c763d;
  border-color: #3c763d;
  background-color: #dff0d8;
}
.has-success .form-control-feedback {
  color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
  color: #8a6d3b;
}
.has-warning .form-control {
  border-color: #8a6d3b;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
  border-color: #66512c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
  color: #8a6d3b;
  border-color: #8a6d3b;
  background-color: #fcf8e3;
}
.has-warning .form-control-feedback {
  color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
  color: #a94442;
}
.has-error .form-control {
  border-color: #a94442;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
  border-color: #843534;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
  color: #a94442;
  border-color: #a94442;
  background-color: #f2dede;
}
.has-error .form-control-feedback {
  color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
  top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
  top: 0;
}
.help-block {
  display: block;
  margin-top: 5px;
  margin-bottom: 10px;
  color: #404040;
}
@media (min-width: 768px) {
  .form-inline .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .form-inline .form-control-static {
    display: inline-block;
  }
  .form-inline .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .form-inline .input-group .input-group-addon,
  .form-inline .input-group .input-group-btn,
  .form-inline .input-group .form-control {
    width: auto;
  }
  .form-inline .input-group > .form-control {
    width: 100%;
  }
  .form-inline .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio,
  .form-inline .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio label,
  .form-inline .checkbox label {
    padding-left: 0;
  }
  .form-inline .radio input[type="radio"],
  .form-inline .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .form-inline .has-feedback .form-control-feedback {
    top: 0;
  }
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
  margin-top: 0;
  margin-bottom: 0;
  padding-top: 7px;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-left: 0px;
  margin-right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    text-align: right;
    margin-bottom: 0;
    padding-top: 7px;
  }
}
.form-horizontal .has-feedback .form-control-feedback {
  right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .form-group-lg .control-label {
    padding-top: 11px;
    font-size: 17px;
  }
}
@media (min-width: 768px) {
  .form-horizontal .form-group-sm .control-label {
    padding-top: 6px;
    font-size: 12px;
  }
}
.btn {
  display: inline-block;
  margin-bottom: 0;
  font-weight: normal;
  text-align: center;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  white-space: nowrap;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  border-radius: 2px;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
  outline: thin dotted;
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
  color: #333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  outline: 0;
  background-image: none;
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
  cursor: not-allowed;
  opacity: 0.65;
  filter: alpha(opacity=65);
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  background-image: none;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
  background-color: #fff;
  border-color: #ccc;
}
.btn-default .badge {
  color: #fff;
  background-color: #333;
}
.btn-primary {
  color: #fff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #fff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
  color: #fff;
  background-color: #204d74;
  border-color: #122b40;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  background-image: none;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary .badge {
  color: #337ab7;
  background-color: #fff;
}
.btn-success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  background-image: none;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.btn-info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  background-image: none;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.btn-warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  background-image: none;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.btn-danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  background-image: none;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger .badge {
  color: #d9534f;
  background-color: #fff;
}
.btn-link {
  color: #337ab7;
  font-weight: normal;
  border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
  background-color: transparent;
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
  border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
  color: #23527c;
  text-decoration: underline;
  background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
  color: #777777;
  text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
  padding: 1px 5px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-block {
  display: block;
  width: 100%;
}
.btn-block + .btn-block {
  margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
  width: 100%;
}
.fade {
  opacity: 0;
  -webkit-transition: opacity 0.15s linear;
  -o-transition: opacity 0.15s linear;
  transition: opacity 0.15s linear;
}
.fade.in {
  opacity: 1;
}
.collapse {
  display: none;
}
.collapse.in {
  display: block;
}
tr.collapse.in {
  display: table-row;
}
tbody.collapse.in {
  display: table-row-group;
}
.collapsing {
  position: relative;
  height: 0;
  overflow: hidden;
  -webkit-transition-property: height, visibility;
  transition-property: height, visibility;
  -webkit-transition-duration: 0.35s;
  transition-duration: 0.35s;
  -webkit-transition-timing-function: ease;
  transition-timing-function: ease;
}
.caret {
  display: inline-block;
  width: 0;
  height: 0;
  margin-left: 2px;
  vertical-align: middle;
  border-top: 4px dashed;
  border-top: 4px solid \9;
  border-right: 4px solid transparent;
  border-left: 4px solid transparent;
}
.dropup,
.dropdown {
  position: relative;
}
.dropdown-toggle:focus {
  outline: 0;
}
.dropdown-menu {
  position: absolute;
  top: 100%;
  left: 0;
  z-index: 1000;
  display: none;
  float: left;
  min-width: 160px;
  padding: 5px 0;
  margin: 2px 0 0;
  list-style: none;
  font-size: 13px;
  text-align: left;
  background-color: #fff;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.15);
  border-radius: 2px;
  -webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  background-clip: padding-box;
}
.dropdown-menu.pull-right {
  right: 0;
  left: auto;
}
.dropdown-menu .divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.dropdown-menu > li > a {
  display: block;
  padding: 3px 20px;
  clear: both;
  font-weight: normal;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  text-decoration: none;
  color: #262626;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #fff;
  text-decoration: none;
  outline: 0;
  background-color: #337ab7;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  text-decoration: none;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
  cursor: not-allowed;
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  left: auto;
  right: 0;
}
.dropdown-menu-left {
  left: 0;
  right: auto;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  left: 0;
  right: 0;
  bottom: 0;
  top: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
  content: "";
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    left: auto;
    right: 0;
  }
  .navbar-right .dropdown-menu-left {
    left: 0;
    right: auto;
  }
}
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
  position: relative;
  float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
  z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
  margin-left: -1px;
}
.btn-toolbar {
  margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
  float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
  margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}
.btn-group > .btn:first-child {
  margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-left: 8px;
  padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-left: 12px;
  padding-right: 12px;
}
.btn-group.open .dropdown-toggle {
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn .caret {
  margin-left: 0;
}
.btn-lg .caret {
  border-width: 5px 5px 0;
  border-bottom-width: 0;
}
.dropup .btn-lg .caret {
  border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
  display: block;
  float: none;
  width: 100%;
  max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
  float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
  margin-top: -1px;
  margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  float: none;
  display: table-cell;
  width: 1%;
}
.btn-group-justified > .btn-group .btn {
  width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
  left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
  position: absolute;
  clip: rect(0, 0, 0, 0);
  pointer-events: none;
}
.input-group {
  position: relative;
  display: table;
  border-collapse: separate;
}
.input-group[class*="col-"] {
  float: none;
  padding-left: 0;
  padding-right: 0;
}
.input-group .form-control {
  position: relative;
  z-index: 2;
  float: left;
  width: 100%;
  margin-bottom: 0;
}
.input-group .form-control:focus {
  z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
  height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
  height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
  display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.input-group-addon,
.input-group-btn {
  width: 1%;
  white-space: nowrap;
  vertical-align: middle;
}
.input-group-addon {
  padding: 6px 12px;
  font-size: 13px;
  font-weight: normal;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #ccc;
  border-radius: 2px;
}
.input-group-addon.input-sm {
  padding: 5px 10px;
  font-size: 12px;
  border-radius: 1px;
}
.input-group-addon.input-lg {
  padding: 10px 16px;
  font-size: 17px;
  border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
  margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.input-group-addon:first-child {
  border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.input-group-addon:last-child {
  border-left: 0;
}
.input-group-btn {
  position: relative;
  font-size: 0;
  white-space: nowrap;
}
.input-group-btn > .btn {
  position: relative;
}
.input-group-btn > .btn + .btn {
  margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
  z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
  margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
  z-index: 2;
  margin-left: -1px;
}
.nav {
  margin-bottom: 0;
  padding-left: 0;
  list-style: none;
}
.nav > li {
  position: relative;
  display: block;
}
.nav > li > a {
  position: relative;
  display: block;
  padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.nav > li.disabled > a {
  color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
  color: #777777;
  text-decoration: none;
  background-color: transparent;
  cursor: not-allowed;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #337ab7;
}
.nav .nav-divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.nav > li > a > img {
  max-width: none;
}
.nav-tabs {
  border-bottom: 1px solid #ddd;
}
.nav-tabs > li {
  float: left;
  margin-bottom: -1px;
}
.nav-tabs > li > a {
  margin-right: 2px;
  line-height: 1.42857143;
  border: 1px solid transparent;
  border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
  border-color: #eeeeee #eeeeee #ddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  background-color: #fff;
  border: 1px solid #ddd;
  border-bottom-color: transparent;
  cursor: default;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-tabs.nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs.nav-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs.nav-justified > .active > a,
  .nav-tabs.nav-justified > .active > a:hover,
  .nav-tabs.nav-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.nav-pills > li {
  float: left;
}
.nav-pills > li > a {
  border-radius: 2px;
}
.nav-pills > li + li {
  margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
  color: #fff;
  background-color: #337ab7;
}
.nav-stacked > li {
  float: none;
}
.nav-stacked > li + li {
  margin-top: 2px;
  margin-left: 0;
}
.nav-justified {
  width: 100%;
}
.nav-justified > li {
  float: none;
}
.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs-justified {
  border-bottom: 0;
}
.nav-tabs-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs-justified > .active > a,
  .nav-tabs-justified > .active > a:hover,
  .nav-tabs-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar {
  position: relative;
  min-height: 30px;
  margin-bottom: 18px;
  border: 1px solid transparent;
}
@media (min-width: 541px) {
  .navbar {
    border-radius: 2px;
  }
}
@media (min-width: 541px) {
  .navbar-header {
    float: left;
  }
}
.navbar-collapse {
  overflow-x: visible;
  padding-right: 0px;
  padding-left: 0px;
  border-top: 1px solid transparent;
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
  -webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
  overflow-y: auto;
}
@media (min-width: 541px) {
  .navbar-collapse {
    width: auto;
    border-top: 0;
    box-shadow: none;
  }
  .navbar-collapse.collapse {
    display: block !important;
    height: auto !important;
    padding-bottom: 0;
    overflow: visible !important;
  }
  .navbar-collapse.in {
    overflow-y: visible;
  }
  .navbar-fixed-top .navbar-collapse,
  .navbar-static-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    padding-left: 0;
    padding-right: 0;
  }
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
  max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
  .navbar-fixed-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    max-height: 200px;
  }
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 541px) {
  .container > .navbar-header,
  .container-fluid > .navbar-header,
  .container > .navbar-collapse,
  .container-fluid > .navbar-collapse {
    margin-right: 0;
    margin-left: 0;
  }
}
.navbar-static-top {
  z-index: 1000;
  border-width: 0 0 1px;
}
@media (min-width: 541px) {
  .navbar-static-top {
    border-radius: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
@media (min-width: 541px) {
  .navbar-fixed-top,
  .navbar-fixed-bottom {
    border-radius: 0;
  }
}
.navbar-fixed-top {
  top: 0;
  border-width: 0 0 1px;
}
.navbar-fixed-bottom {
  bottom: 0;
  margin-bottom: 0;
  border-width: 1px 0 0;
}
.navbar-brand {
  float: left;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
  height: 30px;
}
.navbar-brand:hover,
.navbar-brand:focus {
  text-decoration: none;
}
.navbar-brand > img {
  display: block;
}
@media (min-width: 541px) {
  .navbar > .container .navbar-brand,
  .navbar > .container-fluid .navbar-brand {
    margin-left: 0px;
  }
}
.navbar-toggle {
  position: relative;
  float: right;
  margin-right: 0px;
  padding: 9px 10px;
  margin-top: -2px;
  margin-bottom: -2px;
  background-color: transparent;
  background-image: none;
  border: 1px solid transparent;
  border-radius: 2px;
}
.navbar-toggle:focus {
  outline: 0;
}
.navbar-toggle .icon-bar {
  display: block;
  width: 22px;
  height: 2px;
  border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
  margin-top: 4px;
}
@media (min-width: 541px) {
  .navbar-toggle {
    display: none;
  }
}
.navbar-nav {
  margin: 3px 0px;
}
.navbar-nav > li > a {
  padding-top: 10px;
  padding-bottom: 10px;
  line-height: 18px;
}
@media (max-width: 540px) {
  .navbar-nav .open .dropdown-menu {
    position: static;
    float: none;
    width: auto;
    margin-top: 0;
    background-color: transparent;
    border: 0;
    box-shadow: none;
  }
  .navbar-nav .open .dropdown-menu > li > a,
  .navbar-nav .open .dropdown-menu .dropdown-header {
    padding: 5px 15px 5px 25px;
  }
  .navbar-nav .open .dropdown-menu > li > a {
    line-height: 18px;
  }
  .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-nav .open .dropdown-menu > li > a:focus {
    background-image: none;
  }
}
@media (min-width: 541px) {
  .navbar-nav {
    float: left;
    margin: 0;
  }
  .navbar-nav > li {
    float: left;
  }
  .navbar-nav > li > a {
    padding-top: 6px;
    padding-bottom: 6px;
  }
}
.navbar-form {
  margin-left: 0px;
  margin-right: 0px;
  padding: 10px 0px;
  border-top: 1px solid transparent;
  border-bottom: 1px solid transparent;
  -webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  margin-top: -1px;
  margin-bottom: -1px;
}
@media (min-width: 768px) {
  .navbar-form .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .navbar-form .form-control-static {
    display: inline-block;
  }
  .navbar-form .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .navbar-form .input-group .input-group-addon,
  .navbar-form .input-group .input-group-btn,
  .navbar-form .input-group .form-control {
    width: auto;
  }
  .navbar-form .input-group > .form-control {
    width: 100%;
  }
  .navbar-form .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio,
  .navbar-form .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio label,
  .navbar-form .checkbox label {
    padding-left: 0;
  }
  .navbar-form .radio input[type="radio"],
  .navbar-form .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .navbar-form .has-feedback .form-control-feedback {
    top: 0;
  }
}
@media (max-width: 540px) {
  .navbar-form .form-group {
    margin-bottom: 5px;
  }
  .navbar-form .form-group:last-child {
    margin-bottom: 0;
  }
}
@media (min-width: 541px) {
  .navbar-form {
    width: auto;
    border: 0;
    margin-left: 0;
    margin-right: 0;
    padding-top: 0;
    padding-bottom: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.navbar-btn {
  margin-top: -1px;
  margin-bottom: -1px;
}
.navbar-btn.btn-sm {
  margin-top: 0px;
  margin-bottom: 0px;
}
.navbar-btn.btn-xs {
  margin-top: 4px;
  margin-bottom: 4px;
}
.navbar-text {
  margin-top: 6px;
  margin-bottom: 6px;
}
@media (min-width: 541px) {
  .navbar-text {
    float: left;
    margin-left: 0px;
    margin-right: 0px;
  }
}
@media (min-width: 541px) {
  .navbar-left {
    float: left !important;
    float: left;
  }
  .navbar-right {
    float: right !important;
    float: right;
    margin-right: 0px;
  }
  .navbar-right ~ .navbar-right {
    margin-right: 0;
  }
}
.navbar-default {
  background-color: #f8f8f8;
  border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
  color: #777;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #5e5e5e;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777;
}
.navbar-default .navbar-nav > li > a {
  color: #777;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #ccc;
  background-color: transparent;
}
.navbar-default .navbar-toggle {
  border-color: #ddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #ddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  background-color: #e7e7e7;
  color: #555;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #777;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333;
    background-color: transparent;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #555;
    background-color: #e7e7e7;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #ccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-link {
  color: #777;
}
.navbar-default .navbar-link:hover {
  color: #333;
}
.navbar-default .btn-link {
  color: #777;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
  color: #ccc;
}
.navbar-inverse {
  background-color: #222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-text {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #fff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444;
  background-color: transparent;
}
.navbar-inverse .navbar-toggle {
  border-color: #333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #fff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  background-color: #080808;
  color: #fff;
}
@media (max-width: 540px) {
  .navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
    border-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu .divider {
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
    color: #9d9d9d;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #fff;
    background-color: transparent;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #fff;
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #fff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #fff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
  color: #444;
}
.breadcrumb {
  padding: 8px 15px;
  margin-bottom: 18px;
  list-style: none;
  background-color: #f5f5f5;
  border-radius: 2px;
}
.breadcrumb > li {
  display: inline-block;
}
.breadcrumb > li + li:before {
  content: "/\00a0";
  padding: 0 5px;
  color: #5e5e5e;
}
.breadcrumb > .active {
  color: #777777;
}
.pagination {
  display: inline-block;
  padding-left: 0;
  margin: 18px 0;
  border-radius: 2px;
}
.pagination > li {
  display: inline;
}
.pagination > li > a,
.pagination > li > span {
  position: relative;
  float: left;
  padding: 6px 12px;
  line-height: 1.42857143;
  text-decoration: none;
  color: #337ab7;
  background-color: #fff;
  border: 1px solid #ddd;
  margin-left: -1px;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-bottom-right-radius: 2px;
  border-top-right-radius: 2px;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #23527c;
  background-color: #eeeeee;
  border-color: #ddd;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
  z-index: 3;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
  cursor: default;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  background-color: #fff;
  border-color: #ddd;
  cursor: not-allowed;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
  border-bottom-left-radius: 3px;
  border-top-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-bottom-right-radius: 3px;
  border-top-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
  border-bottom-left-radius: 1px;
  border-top-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-bottom-right-radius: 1px;
  border-top-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  list-style: none;
  text-align: center;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
  float: right;
}
.pager .previous > a,
.pager .previous > span {
  float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
  color: #777777;
  background-color: #fff;
  cursor: not-allowed;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: bold;
  line-height: 1;
  color: #fff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.label:empty {
  display: none;
}
.btn .label {
  position: relative;
  top: -1px;
}
.label-default {
  background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
  background-color: #5e5e5e;
}
.label-primary {
  background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
  background-color: #286090;
}
.label-success {
  background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
  background-color: #449d44;
}
.label-info {
  background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
  background-color: #31b0d5;
}
.label-warning {
  background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
  background-color: #ec971f;
}
.label-danger {
  background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
  background-color: #c9302c;
}
.badge {
  display: inline-block;
  min-width: 10px;
  padding: 3px 7px;
  font-size: 12px;
  font-weight: bold;
  color: #fff;
  line-height: 1;
  vertical-align: middle;
  white-space: nowrap;
  text-align: center;
  background-color: #777777;
  border-radius: 10px;
}
.badge:empty {
  display: none;
}
.btn .badge {
  position: relative;
  top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
  top: 0;
  padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #337ab7;
  background-color: #fff;
}
.list-group-item > .badge {
  float: right;
}
.list-group-item > .badge + .badge {
  margin-right: 5px;
}
.nav-pills > li > a > .badge {
  margin-left: 3px;
}
.jumbotron {
  padding-top: 30px;
  padding-bottom: 30px;
  margin-bottom: 30px;
  color: inherit;
  background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
  color: inherit;
}
.jumbotron p {
  margin-bottom: 15px;
  font-size: 20px;
  font-weight: 200;
}
.jumbotron > hr {
  border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
  border-radius: 3px;
  padding-left: 0px;
  padding-right: 0px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-left: 60px;
    padding-right: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: border 0.2s ease-in-out;
  -o-transition: border 0.2s ease-in-out;
  transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
  margin-left: auto;
  margin-right: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #337ab7;
}
.thumbnail .caption {
  padding: 9px;
  color: #000;
}
.alert {
  padding: 15px;
  margin-bottom: 18px;
  border: 1px solid transparent;
  border-radius: 2px;
}
.alert h4 {
  margin-top: 0;
  color: inherit;
}
.alert .alert-link {
  font-weight: bold;
}
.alert > p,
.alert > ul {
  margin-bottom: 0;
}
.alert > p + p {
  margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
  padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
  position: relative;
  top: -2px;
  right: -21px;
  color: inherit;
}
.alert-success {
  background-color: #dff0d8;
  border-color: #d6e9c6;
  color: #3c763d;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  background-color: #d9edf7;
  border-color: #bce8f1;
  color: #31708f;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  background-color: #fcf8e3;
  border-color: #faebcc;
  color: #8a6d3b;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  background-color: #f2dede;
  border-color: #ebccd1;
  color: #a94442;
}
.alert-danger hr {
  border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
  color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
@keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
.progress {
  overflow: hidden;
  height: 18px;
  margin-bottom: 18px;
  background-color: #f5f5f5;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
  box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
  float: left;
  width: 0%;
  height: 100%;
  font-size: 12px;
  line-height: 18px;
  color: #fff;
  text-align: center;
  background-color: #337ab7;
  -webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  -webkit-transition: width 0.6s ease;
  -o-transition: width 0.6s ease;
  transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
  -webkit-animation: progress-bar-stripes 2s linear infinite;
  -o-animation: progress-bar-stripes 2s linear infinite;
  animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
  background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
  background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
  background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
  background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
  margin-top: 15px;
}
.media:first-child {
  margin-top: 0;
}
.media,
.media-body {
  zoom: 1;
  overflow: hidden;
}
.media-body {
  width: 10000px;
}
.media-object {
  display: block;
}
.media-object.img-thumbnail {
  max-width: none;
}
.media-right,
.media > .pull-right {
  padding-left: 10px;
}
.media-left,
.media > .pull-left {
  padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
  display: table-cell;
  vertical-align: top;
}
.media-middle {
  vertical-align: middle;
}
.media-bottom {
  vertical-align: bottom;
}
.media-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.media-list {
  padding-left: 0;
  list-style: none;
}
.list-group {
  margin-bottom: 20px;
  padding-left: 0;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #fff;
  border: 1px solid #ddd;
}
.list-group-item:first-child {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
a.list-group-item,
button.list-group-item {
  color: #555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  text-decoration: none;
  color: #555;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  background-color: #eeeeee;
  color: #777777;
  cursor: not-allowed;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
  color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
  color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
  z-index: 2;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
  color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
  color: #c7ddef;
}
.list-group-item-success {
  color: #3c763d;
  background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
  color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
  color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
  color: #3c763d;
  background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
  color: #fff;
  background-color: #3c763d;
  border-color: #3c763d;
}
.list-group-item-info {
  color: #31708f;
  background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
  color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
  color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
  color: #31708f;
  background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
  color: #fff;
  background-color: #31708f;
  border-color: #31708f;
}
.list-group-item-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
  color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
  color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
  color: #8a6d3b;
  background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
  color: #fff;
  background-color: #8a6d3b;
  border-color: #8a6d3b;
}
.list-group-item-danger {
  color: #a94442;
  background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
  color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
  color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
  color: #a94442;
  background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
  color: #fff;
  background-color: #a94442;
  border-color: #a94442;
}
.list-group-item-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.list-group-item-text {
  margin-bottom: 0;
  line-height: 1.3;
}
.panel {
  margin-bottom: 18px;
  background-color: #fff;
  border: 1px solid transparent;
  border-radius: 2px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
  padding: 15px;
}
.panel-heading {
  padding: 10px 15px;
  border-bottom: 1px solid transparent;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
  color: inherit;
}
.panel-title {
  margin-top: 0;
  margin-bottom: 0;
  font-size: 15px;
  color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
  color: inherit;
}
.panel-footer {
  padding: 10px 15px;
  background-color: #f5f5f5;
  border-top: 1px solid #ddd;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
  margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
  border-width: 1px 0;
  border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
  border-top: 0;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
  border-bottom: 0;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
  border-top-width: 0;
}
.list-group + .panel-footer {
  border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
  margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
  padding-left: 15px;
  padding-right: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
  border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
  border-bottom-left-radius: 1px;
  border-bottom-right-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
  border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
  border-top: 1px solid #ddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
  border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
  border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
  border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
  border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
  border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
  border-bottom: 0;
}
.panel > .table-responsive {
  border: 0;
  margin-bottom: 0;
}
.panel-group {
  margin-bottom: 18px;
}
.panel-group .panel {
  margin-bottom: 0;
  border-radius: 2px;
}
.panel-group .panel + .panel {
  margin-top: 5px;
}
.panel-group .panel-heading {
  border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
  border-top: 1px solid #ddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #ddd;
}
.panel-default {
  border-color: #ddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #ddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
  color: #337ab7;
  background-color: #fff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #337ab7;
}
.panel-success {
  border-color: #d6e9c6;
}
.panel-success > .panel-heading {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
  color: #dff0d8;
  background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #d6e9c6;
}
.panel-info {
  border-color: #bce8f1;
}
.panel-info > .panel-heading {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
  color: #d9edf7;
  background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #bce8f1;
}
.panel-warning {
  border-color: #faebcc;
}
.panel-warning > .panel-heading {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
  color: #fcf8e3;
  background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #faebcc;
}
.panel-danger {
  border-color: #ebccd1;
}
.panel-danger > .panel-heading {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
  color: #f2dede;
  background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ebccd1;
}
.embed-responsive {
  position: relative;
  display: block;
  height: 0;
  padding: 0;
  overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  height: 100%;
  width: 100%;
  border: 0;
}
.embed-responsive-16by9 {
  padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
  padding-bottom: 75%;
}
.well {
  min-height: 20px;
  padding: 19px;
  margin-bottom: 20px;
  background-color: #f5f5f5;
  border: 1px solid #e3e3e3;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
  border-color: #ddd;
  border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
  padding: 24px;
  border-radius: 3px;
}
.well-sm {
  padding: 9px;
  border-radius: 1px;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000;
  text-shadow: 0 1px 0 #fff;
  opacity: 0.2;
  filter: alpha(opacity=20);
}
.close:hover,
.close:focus {
  color: #000;
  text-decoration: none;
  cursor: pointer;
  opacity: 0.5;
  filter: alpha(opacity=50);
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  display: none;
  overflow: hidden;
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  -webkit-overflow-scrolling: touch;
  outline: 0;
}
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
  -ms-transform: translate(0, -25%);
  -o-transform: translate(0, -25%);
  transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
  -moz-transition: -moz-transform 0.3s ease-out;
  -o-transition: -o-transform 0.3s ease-out;
  transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
.modal-open .modal {
  overflow-x: hidden;
  overflow-y: auto;
}
.modal-dialog {
  position: relative;
  width: auto;
  margin: 10px;
}
.modal-content {
  position: relative;
  background-color: #fff;
  border: 1px solid #999;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  background-clip: padding-box;
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000;
}
.modal-backdrop.fade {
  opacity: 0;
  filter: alpha(opacity=0);
}
.modal-backdrop.in {
  opacity: 0.5;
  filter: alpha(opacity=50);
}
.modal-header {
  padding: 15px;
  border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
  margin-top: -2px;
}
.modal-title {
  margin: 0;
  line-height: 1.42857143;
}
.modal-body {
  position: relative;
  padding: 15px;
}
.modal-footer {
  padding: 15px;
  text-align: right;
  border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
  margin-left: 5px;
  margin-bottom: 0;
}
.modal-footer .btn-group .btn + .btn {
  margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
  margin-left: 0;
}
.modal-scrollbar-measure {
  position: absolute;
  top: -9999px;
  width: 50px;
  height: 50px;
  overflow: scroll;
}
@media (min-width: 768px) {
  .modal-dialog {
    width: 600px;
    margin: 30px auto;
  }
  .modal-content {
    -webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
    box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
  }
  .modal-sm {
    width: 300px;
  }
}
@media (min-width: 992px) {
  .modal-lg {
    width: 900px;
  }
}
.tooltip {
  position: absolute;
  z-index: 1070;
  display: block;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 12px;
  opacity: 0;
  filter: alpha(opacity=0);
}
.tooltip.in {
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.tooltip.top {
  margin-top: -3px;
  padding: 5px 0;
}
.tooltip.right {
  margin-left: 3px;
  padding: 0 5px;
}
.tooltip.bottom {
  margin-top: 3px;
  padding: 5px 0;
}
.tooltip.left {
  margin-left: -3px;
  padding: 0 5px;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #fff;
  text-align: center;
  background-color: #000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-left .tooltip-arrow {
  bottom: 0;
  right: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.popover {
  position: absolute;
  top: 0;
  left: 0;
  z-index: 1060;
  display: none;
  max-width: 276px;
  padding: 1px;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 13px;
  background-color: #fff;
  background-clip: padding-box;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
  box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
  margin-top: -10px;
}
.popover.right {
  margin-left: 10px;
}
.popover.bottom {
  margin-top: 10px;
}
.popover.left {
  margin-left: -10px;
}
.popover-title {
  margin: 0;
  padding: 8px 14px;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow {
  border-width: 11px;
}
.popover > .arrow:after {
  border-width: 10px;
  content: "";
}
.popover.top > .arrow {
  left: 50%;
  margin-left: -11px;
  border-bottom-width: 0;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  bottom: -11px;
}
.popover.top > .arrow:after {
  content: " ";
  bottom: 1px;
  margin-left: -10px;
  border-bottom-width: 0;
  border-top-color: #fff;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-left-width: 0;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
}
.popover.right > .arrow:after {
  content: " ";
  left: 1px;
  bottom: -10px;
  border-left-width: 0;
  border-right-color: #fff;
}
.popover.bottom > .arrow {
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
  top: -11px;
}
.popover.bottom > .arrow:after {
  content: " ";
  top: 1px;
  margin-left: -10px;
  border-top-width: 0;
  border-bottom-color: #fff;
}
.popover.left > .arrow {
  top: 50%;
  right: -11px;
  margin-top: -11px;
  border-right-width: 0;
  border-left-color: #999999;
  border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
  content: " ";
  right: 1px;
  border-right-width: 0;
  border-left-color: #fff;
  bottom: -10px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  overflow: hidden;
  width: 100%;
}
.carousel-inner > .item {
  display: none;
  position: relative;
  -webkit-transition: 0.6s ease-in-out left;
  -o-transition: 0.6s ease-in-out left;
  transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
  .carousel-inner > .item {
    -webkit-transition: -webkit-transform 0.6s ease-in-out;
    -moz-transition: -moz-transform 0.6s ease-in-out;
    -o-transition: -o-transform 0.6s ease-in-out;
    transition: transform 0.6s ease-in-out;
    -webkit-backface-visibility: hidden;
    -moz-backface-visibility: hidden;
    backface-visibility: hidden;
    -webkit-perspective: 1000px;
    -moz-perspective: 1000px;
    perspective: 1000px;
  }
  .carousel-inner > .item.next,
  .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(100%, 0, 0);
    transform: translate3d(100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.prev,
  .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(-100%, 0, 0);
    transform: translate3d(-100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.next.left,
  .carousel-inner > .item.prev.right,
  .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
    transform: translate3d(0, 0, 0);
    left: 0;
  }
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
  display: block;
}
.carousel-inner > .active {
  left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
  position: absolute;
  top: 0;
  width: 100%;
}
.carousel-inner > .next {
  left: 100%;
}
.carousel-inner > .prev {
  left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
  left: 0;
}
.carousel-inner > .active.left {
  left: -100%;
}
.carousel-inner > .active.right {
  left: 100%;
}
.carousel-control {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  width: 15%;
  opacity: 0.5;
  filter: alpha(opacity=50);
  font-size: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
}
.carousel-control.left {
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
}
.carousel-control.right {
  left: auto;
  right: 0;
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
}
.carousel-control:hover,
.carousel-control:focus {
  outline: 0;
  color: #fff;
  text-decoration: none;
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  margin-top: -10px;
  z-index: 5;
  display: inline-block;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
  left: 50%;
  margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
  right: 50%;
  margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
  width: 20px;
  height: 20px;
  line-height: 1;
  font-family: serif;
}
.carousel-control .icon-prev:before {
  content: '\2039';
}
.carousel-control .icon-next:before {
  content: '\203a';
}
.carousel-indicators {
  position: absolute;
  bottom: 10px;
  left: 50%;
  z-index: 15;
  width: 60%;
  margin-left: -30%;
  padding-left: 0;
  list-style: none;
  text-align: center;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  border: 1px solid #fff;
  border-radius: 10px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
}
.carousel-indicators .active {
  margin: 0;
  width: 12px;
  height: 12px;
  background-color: #fff;
}
.carousel-caption {
  position: absolute;
  left: 15%;
  right: 15%;
  bottom: 20px;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
  text-shadow: none;
}
@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-prev,
  .carousel-control .icon-next {
    width: 30px;
    height: 30px;
    margin-top: -10px;
    font-size: 30px;
  }
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .icon-prev {
    margin-left: -10px;
  }
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-next {
    margin-right: -10px;
  }
  .carousel-caption {
    left: 20%;
    right: 20%;
    padding-bottom: 30px;
  }
  .carousel-indicators {
    bottom: 20px;
  }
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
  content: " ";
  display: table;
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
  clear: both;
}
.center-block {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.pull-right {
  float: right !important;
}
.pull-left {
  float: left !important;
}
.hide {
  display: none !important;
}
.show {
  display: block !important;
}
.invisible {
  visibility: hidden;
}
.text-hide {
  font: 0/0 a;
  color: transparent;
  text-shadow: none;
  background-color: transparent;
  border: 0;
}
.hidden {
  display: none !important;
}
.affix {
  position: fixed;
}
@-ms-viewport {
  width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
  display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
  display: none !important;
}
@media (max-width: 767px) {
  .visible-xs {
    display: block !important;
  }
  table.visible-xs {
    display: table !important;
  }
  tr.visible-xs {
    display: table-row !important;
  }
  th.visible-xs,
  td.visible-xs {
    display: table-cell !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-block {
    display: block !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline {
    display: inline !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm {
    display: block !important;
  }
  table.visible-sm {
    display: table !important;
  }
  tr.visible-sm {
    display: table-row !important;
  }
  th.visible-sm,
  td.visible-sm {
    display: table-cell !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-block {
    display: block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline {
    display: inline !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md {
    display: block !important;
  }
  table.visible-md {
    display: table !important;
  }
  tr.visible-md {
    display: table-row !important;
  }
  th.visible-md,
  td.visible-md {
    display: table-cell !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-block {
    display: block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline {
    display: inline !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg {
    display: block !important;
  }
  table.visible-lg {
    display: table !important;
  }
  tr.visible-lg {
    display: table-row !important;
  }
  th.visible-lg,
  td.visible-lg {
    display: table-cell !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-block {
    display: block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline {
    display: inline !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline-block {
    display: inline-block !important;
  }
}
@media (max-width: 767px) {
  .hidden-xs {
    display: none !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .hidden-sm {
    display: none !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .hidden-md {
    display: none !important;
  }
}
@media (min-width: 1200px) {
  .hidden-lg {
    display: none !important;
  }
}
.visible-print {
  display: none !important;
}
@media print {
  .visible-print {
    display: block !important;
  }
  table.visible-print {
    display: table !important;
  }
  tr.visible-print {
    display: table-row !important;
  }
  th.visible-print,
  td.visible-print {
    display: table-cell !important;
  }
}
.visible-print-block {
  display: none !important;
}
@media print {
  .visible-print-block {
    display: block !important;
  }
}
.visible-print-inline {
  display: none !important;
}
@media print {
  .visible-print-inline {
    display: inline !important;
  }
}
.visible-print-inline-block {
  display: none !important;
}
@media print {
  .visible-print-inline-block {
    display: inline-block !important;
  }
}
@media print {
  .hidden-print {
    display: none !important;
  }
}
/*!
*
* Font Awesome
*
*/
/*!
 *  Font Awesome 4.2.0 by @davegandy - http://fontawesome.io - @fontawesome
 *  License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
 */
/* FONT PATH
 * -------------------------- */
@font-face {
  font-family: 'FontAwesome';
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.2.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.2.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.2.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.2.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.2.0#fontawesomeregular') format('svg');
  font-weight: normal;
  font-style: normal;
}
.fa {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
  font-size: 1.33333333em;
  line-height: 0.75em;
  vertical-align: -15%;
}
.fa-2x {
  font-size: 2em;
}
.fa-3x {
  font-size: 3em;
}
.fa-4x {
  font-size: 4em;
}
.fa-5x {
  font-size: 5em;
}
.fa-fw {
  width: 1.28571429em;
  text-align: center;
}
.fa-ul {
  padding-left: 0;
  margin-left: 2.14285714em;
  list-style-type: none;
}
.fa-ul > li {
  position: relative;
}
.fa-li {
  position: absolute;
  left: -2.14285714em;
  width: 2.14285714em;
  top: 0.14285714em;
  text-align: center;
}
.fa-li.fa-lg {
  left: -1.85714286em;
}
.fa-border {
  padding: .2em .25em .15em;
  border: solid 0.08em #eee;
  border-radius: .1em;
}
.pull-right {
  float: right;
}
.pull-left {
  float: left;
}
.fa.pull-left {
  margin-right: .3em;
}
.fa.pull-right {
  margin-left: .3em;
}
.fa-spin {
  -webkit-animation: fa-spin 2s infinite linear;
  animation: fa-spin 2s infinite linear;
}
@-webkit-keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
@keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
.fa-rotate-90 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=1);
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2);
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=3);
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1);
  -webkit-transform: scale(-1, 1);
  -ms-transform: scale(-1, 1);
  transform: scale(-1, 1);
}
.fa-flip-vertical {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1);
  -webkit-transform: scale(1, -1);
  -ms-transform: scale(1, -1);
  transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
  filter: none;
}
.fa-stack {
  position: relative;
  display: inline-block;
  width: 2em;
  height: 2em;
  line-height: 2em;
  vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
  position: absolute;
  left: 0;
  width: 100%;
  text-align: center;
}
.fa-stack-1x {
  line-height: inherit;
}
.fa-stack-2x {
  font-size: 2em;
}
.fa-inverse {
  color: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-rss:before {
  content: "\f09e";
}
.fa-hdd-o:before {
  content: "\f0a0";
}
.fa-bullhorn:before {
  content: "\f0a1";
}
.fa-bell:before {
  content: "\f0f3";
}
.fa-certificate:before {
  content: "\f0a3";
}
.fa-hand-o-right:before {
  content: "\f0a4";
}
.fa-hand-o-left:before {
  content: "\f0a5";
}
.fa-hand-o-up:before {
  content: "\f0a6";
}
.fa-hand-o-down:before {
  content: "\f0a7";
}
.fa-arrow-circle-left:before {
  content: "\f0a8";
}
.fa-arrow-circle-right:before {
  content: "\f0a9";
}
.fa-arrow-circle-up:before {
  content: "\f0aa";
}
.fa-arrow-circle-down:before {
  content: "\f0ab";
}
.fa-globe:before {
  content: "\f0ac";
}
.fa-wrench:before {
  content: "\f0ad";
}
.fa-tasks:before {
  content: "\f0ae";
}
.fa-filter:before {
  content: "\f0b0";
}
.fa-briefcase:before {
  content: "\f0b1";
}
.fa-arrows-alt:before {
  content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
  content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
  content: "\f0c1";
}
.fa-cloud:before {
  content: "\f0c2";
}
.fa-flask:before {
  content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
  content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
  content: "\f0c5";
}
.fa-paperclip:before {
  content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
  content: "\f0c7";
}
.fa-square:before {
  content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
  content: "\f0c9";
}
.fa-list-ul:before {
  content: "\f0ca";
}
.fa-list-ol:before {
  content: "\f0cb";
}
.fa-strikethrough:before {
  content: "\f0cc";
}
.fa-underline:before {
  content: "\f0cd";
}
.fa-table:before {
  content: "\f0ce";
}
.fa-magic:before {
  content: "\f0d0";
}
.fa-truck:before {
  content: "\f0d1";
}
.fa-pinterest:before {
  content: "\f0d2";
}
.fa-pinterest-square:before {
  content: "\f0d3";
}
.fa-google-plus-square:before {
  content: "\f0d4";
}
.fa-google-plus:before {
  content: "\f0d5";
}
.fa-money:before {
  content: "\f0d6";
}
.fa-caret-down:before {
  content: "\f0d7";
}
.fa-caret-up:before {
  content: "\f0d8";
}
.fa-caret-left:before {
  content: "\f0d9";
}
.fa-caret-right:before {
  content: "\f0da";
}
.fa-columns:before {
  content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
  content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
  content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
  content: "\f0de";
}
.fa-envelope:before {
  content: "\f0e0";
}
.fa-linkedin:before {
  content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
  content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
  content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
  content: "\f0e4";
}
.fa-comment-o:before {
  content: "\f0e5";
}
.fa-comments-o:before {
  content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
  content: "\f0e7";
}
.fa-sitemap:before {
  content: "\f0e8";
}
.fa-umbrella:before {
  content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
  content: "\f0ea";
}
.fa-lightbulb-o:before {
  content: "\f0eb";
}
.fa-exchange:before {
  content: "\f0ec";
}
.fa-cloud-download:before {
  content: "\f0ed";
}
.fa-cloud-upload:before {
  content: "\f0ee";
}
.fa-user-md:before {
  content: "\f0f0";
}
.fa-stethoscope:before {
  content: "\f0f1";
}
.fa-suitcase:before {
  content: "\f0f2";
}
.fa-bell-o:before {
  content: "\f0a2";
}
.fa-coffee:before {
  content: "\f0f4";
}
.fa-cutlery:before {
  content: "\f0f5";
}
.fa-file-text-o:before {
  content: "\f0f6";
}
.fa-building-o:before {
  content: "\f0f7";
}
.fa-hospital-o:before {
  content: "\f0f8";
}
.fa-ambulance:before {
  content: "\f0f9";
}
.fa-medkit:before {
  content: "\f0fa";
}
.fa-fighter-jet:before {
  content: "\f0fb";
}
.fa-beer:before {
  content: "\f0fc";
}
.fa-h-square:before {
  content: "\f0fd";
}
.fa-plus-square:before {
  content: "\f0fe";
}
.fa-angle-double-left:before {
  content: "\f100";
}
.fa-angle-double-right:before {
  content: "\f101";
}
.fa-angle-double-up:before {
  content: "\f102";
}
.fa-angle-double-down:before {
  content: "\f103";
}
.fa-angle-left:before {
  content: "\f104";
}
.fa-angle-right:before {
  content: "\f105";
}
.fa-angle-up:before {
  content: "\f106";
}
.fa-angle-down:before {
  content: "\f107";
}
.fa-desktop:before {
  content: "\f108";
}
.fa-laptop:before {
  content: "\f109";
}
.fa-tablet:before {
  content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
  content: "\f10b";
}
.fa-circle-o:before {
  content: "\f10c";
}
.fa-quote-left:before {
  content: "\f10d";
}
.fa-quote-right:before {
  content: "\f10e";
}
.fa-spinner:before {
  content: "\f110";
}
.fa-circle:before {
  content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
  content: "\f112";
}
.fa-github-alt:before {
  content: "\f113";
}
.fa-folder-o:before {
  content: "\f114";
}
.fa-folder-open-o:before {
  content: "\f115";
}
.fa-smile-o:before {
  content: "\f118";
}
.fa-frown-o:before {
  content: "\f119";
}
.fa-meh-o:before {
  content: "\f11a";
}
.fa-gamepad:before {
  content: "\f11b";
}
.fa-keyboard-o:before {
  content: "\f11c";
}
.fa-flag-o:before {
  content: "\f11d";
}
.fa-flag-checkered:before {
  content: "\f11e";
}
.fa-terminal:before {
  content: "\f120";
}
.fa-code:before {
  content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
  content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
  content: "\f123";
}
.fa-location-arrow:before {
  content: "\f124";
}
.fa-crop:before {
  content: "\f125";
}
.fa-code-fork:before {
  content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
  content: "\f127";
}
.fa-question:before {
  content: "\f128";
}
.fa-info:before {
  content: "\f129";
}
.fa-exclamation:before {
  content: "\f12a";
}
.fa-superscript:before {
  content: "\f12b";
}
.fa-subscript:before {
  content: "\f12c";
}
.fa-eraser:before {
  content: "\f12d";
}
.fa-puzzle-piece:before {
  content: "\f12e";
}
.fa-microphone:before {
  content: "\f130";
}
.fa-microphone-slash:before {
  content: "\f131";
}
.fa-shield:before {
  content: "\f132";
}
.fa-calendar-o:before {
  content: "\f133";
}
.fa-fire-extinguisher:before {
  content: "\f134";
}
.fa-rocket:before {
  content: "\f135";
}
.fa-maxcdn:before {
  content: "\f136";
}
.fa-chevron-circle-left:before {
  content: "\f137";
}
.fa-chevron-circle-right:before {
  content: "\f138";
}
.fa-chevron-circle-up:before {
  content: "\f139";
}
.fa-chevron-circle-down:before {
  content: "\f13a";
}
.fa-html5:before {
  content: "\f13b";
}
.fa-css3:before {
  content: "\f13c";
}
.fa-anchor:before {
  content: "\f13d";
}
.fa-unlock-alt:before {
  content: "\f13e";
}
.fa-bullseye:before {
  content: "\f140";
}
.fa-ellipsis-h:before {
  content: "\f141";
}
.fa-ellipsis-v:before {
  content: "\f142";
}
.fa-rss-square:before {
  content: "\f143";
}
.fa-play-circle:before {
  content: "\f144";
}
.fa-ticket:before {
  content: "\f145";
}
.fa-minus-square:before {
  content: "\f146";
}
.fa-minus-square-o:before {
  content: "\f147";
}
.fa-level-up:before {
  content: "\f148";
}
.fa-level-down:before {
  content: "\f149";
}
.fa-check-square:before {
  content: "\f14a";
}
.fa-pencil-square:before {
  content: "\f14b";
}
.fa-external-link-square:before {
  content: "\f14c";
}
.fa-share-square:before {
  content: "\f14d";
}
.fa-compass:before {
  content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
  content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
  content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
  content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
  content: "\f153";
}
.fa-gbp:before {
  content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
  content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
  content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
  content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
  content: "\f158";
}
.fa-won:before,
.fa-krw:before {
  content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
  content: "\f15a";
}
.fa-file:before {
  content: "\f15b";
}
.fa-file-text:before {
  content: "\f15c";
}
.fa-sort-alpha-asc:before {
  content: "\f15d";
}
.fa-sort-alpha-desc:before {
  content: "\f15e";
}
.fa-sort-amount-asc:before {
  content: "\f160";
}
.fa-sort-amount-desc:before {
  content: "\f161";
}
.fa-sort-numeric-asc:before {
  content: "\f162";
}
.fa-sort-numeric-desc:before {
  content: "\f163";
}
.fa-thumbs-up:before {
  content: "\f164";
}
.fa-thumbs-down:before {
  content: "\f165";
}
.fa-youtube-square:before {
  content: "\f166";
}
.fa-youtube:before {
  content: "\f167";
}
.fa-xing:before {
  content: "\f168";
}
.fa-xing-square:before {
  content: "\f169";
}
.fa-youtube-play:before {
  content: "\f16a";
}
.fa-dropbox:before {
  content: "\f16b";
}
.fa-stack-overflow:before {
  content: "\f16c";
}
.fa-instagram:before {
  content: "\f16d";
}
.fa-flickr:before {
  content: "\f16e";
}
.fa-adn:before {
  content: "\f170";
}
.fa-bitbucket:before {
  content: "\f171";
}
.fa-bitbucket-square:before {
  content: "\f172";
}
.fa-tumblr:before {
  content: "\f173";
}
.fa-tumblr-square:before {
  content: "\f174";
}
.fa-long-arrow-down:before {
  content: "\f175";
}
.fa-long-arrow-up:before {
  content: "\f176";
}
.fa-long-arrow-left:before {
  content: "\f177";
}
.fa-long-arrow-right:before {
  content: "\f178";
}
.fa-apple:before {
  content: "\f179";
}
.fa-windows:before {
  content: "\f17a";
}
.fa-android:before {
  content: "\f17b";
}
.fa-linux:before {
  content: "\f17c";
}
.fa-dribbble:before {
  content: "\f17d";
}
.fa-skype:before {
  content: "\f17e";
}
.fa-foursquare:before {
  content: "\f180";
}
.fa-trello:before {
  content: "\f181";
}
.fa-female:before {
  content: "\f182";
}
.fa-male:before {
  content: "\f183";
}
.fa-gittip:before {
  content: "\f184";
}
.fa-sun-o:before {
  content: "\f185";
}
.fa-moon-o:before {
  content: "\f186";
}
.fa-archive:before {
  content: "\f187";
}
.fa-bug:before {
  content: "\f188";
}
.fa-vk:before {
  content: "\f189";
}
.fa-weibo:before {
  content: "\f18a";
}
.fa-renren:before {
  content: "\f18b";
}
.fa-pagelines:before {
  content: "\f18c";
}
.fa-stack-exchange:before {
  content: "\f18d";
}
.fa-arrow-circle-o-right:before {
  content: "\f18e";
}
.fa-arrow-circle-o-left:before {
  content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
  content: "\f191";
}
.fa-dot-circle-o:before {
  content: "\f192";
}
.fa-wheelchair:before {
  content: "\f193";
}
.fa-vimeo-square:before {
  content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
  content: "\f195";
}
.fa-plus-square-o:before {
  content: "\f196";
}
.fa-space-shuttle:before {
  content: "\f197";
}
.fa-slack:before {
  content: "\f198";
}
.fa-envelope-square:before {
  content: "\f199";
}
.fa-wordpress:before {
  content: "\f19a";
}
.fa-openid:before {
  content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
  content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
  content: "\f19d";
}
.fa-yahoo:before {
  content: "\f19e";
}
.fa-google:before {
  content: "\f1a0";
}
.fa-reddit:before {
  content: "\f1a1";
}
.fa-reddit-square:before {
  content: "\f1a2";
}
.fa-stumbleupon-circle:before {
  content: "\f1a3";
}
.fa-stumbleupon:before {
  content: "\f1a4";
}
.fa-delicious:before {
  content: "\f1a5";
}
.fa-digg:before {
  content: "\f1a6";
}
.fa-pied-piper:before {
  content: "\f1a7";
}
.fa-pied-piper-alt:before {
  content: "\f1a8";
}
.fa-drupal:before {
  content: "\f1a9";
}
.fa-joomla:before {
  content: "\f1aa";
}
.fa-language:before {
  content: "\f1ab";
}
.fa-fax:before {
  content: "\f1ac";
}
.fa-building:before {
  content: "\f1ad";
}
.fa-child:before {
  content: "\f1ae";
}
.fa-paw:before {
  content: "\f1b0";
}
.fa-spoon:before {
  content: "\f1b1";
}
.fa-cube:before {
  content: "\f1b2";
}
.fa-cubes:before {
  content: "\f1b3";
}
.fa-behance:before {
  content: "\f1b4";
}
.fa-behance-square:before {
  content: "\f1b5";
}
.fa-steam:before {
  content: "\f1b6";
}
.fa-steam-square:before {
  content: "\f1b7";
}
.fa-recycle:before {
  content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
  content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
  content: "\f1ba";
}
.fa-tree:before {
  content: "\f1bb";
}
.fa-spotify:before {
  content: "\f1bc";
}
.fa-deviantart:before {
  content: "\f1bd";
}
.fa-soundcloud:before {
  content: "\f1be";
}
.fa-database:before {
  content: "\f1c0";
}
.fa-file-pdf-o:before {
  content: "\f1c1";
}
.fa-file-word-o:before {
  content: "\f1c2";
}
.fa-file-excel-o:before {
  content: "\f1c3";
}
.fa-file-powerpoint-o:before {
  content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
  content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
  content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
  content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
  content: "\f1c8";
}
.fa-file-code-o:before {
  content: "\f1c9";
}
.fa-vine:before {
  content: "\f1ca";
}
.fa-codepen:before {
  content: "\f1cb";
}
.fa-jsfiddle:before {
  content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
  content: "\f1cd";
}
.fa-circle-o-notch:before {
  content: "\f1ce";
}
.fa-ra:before,
.fa-rebel:before {
  content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
  content: "\f1d1";
}
.fa-git-square:before {
  content: "\f1d2";
}
.fa-git:before {
  content: "\f1d3";
}
.fa-hacker-news:before {
  content: "\f1d4";
}
.fa-tencent-weibo:before {
  content: "\f1d5";
}
.fa-qq:before {
  content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
  content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
  content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
  content: "\f1d9";
}
.fa-history:before {
  content: "\f1da";
}
.fa-circle-thin:before {
  content: "\f1db";
}
.fa-header:before {
  content: "\f1dc";
}
.fa-paragraph:before {
  content: "\f1dd";
}
.fa-sliders:before {
  content: "\f1de";
}
.fa-share-alt:before {
  content: "\f1e0";
}
.fa-share-alt-square:before {
  content: "\f1e1";
}
.fa-bomb:before {
  content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
  content: "\f1e3";
}
.fa-tty:before {
  content: "\f1e4";
}
.fa-binoculars:before {
  content: "\f1e5";
}
.fa-plug:before {
  content: "\f1e6";
}
.fa-slideshare:before {
  content: "\f1e7";
}
.fa-twitch:before {
  content: "\f1e8";
}
.fa-yelp:before {
  content: "\f1e9";
}
.fa-newspaper-o:before {
  content: "\f1ea";
}
.fa-wifi:before {
  content: "\f1eb";
}
.fa-calculator:before {
  content: "\f1ec";
}
.fa-paypal:before {
  content: "\f1ed";
}
.fa-google-wallet:before {
  content: "\f1ee";
}
.fa-cc-visa:before {
  content: "\f1f0";
}
.fa-cc-mastercard:before {
  content: "\f1f1";
}
.fa-cc-discover:before {
  content: "\f1f2";
}
.fa-cc-amex:before {
  content: "\f1f3";
}
.fa-cc-paypal:before {
  content: "\f1f4";
}
.fa-cc-stripe:before {
  content: "\f1f5";
}
.fa-bell-slash:before {
  content: "\f1f6";
}
.fa-bell-slash-o:before {
  content: "\f1f7";
}
.fa-trash:before {
  content: "\f1f8";
}
.fa-copyright:before {
  content: "\f1f9";
}
.fa-at:before {
  content: "\f1fa";
}
.fa-eyedropper:before {
  content: "\f1fb";
}
.fa-paint-brush:before {
  content: "\f1fc";
}
.fa-birthday-cake:before {
  content: "\f1fd";
}
.fa-area-chart:before {
  content: "\f1fe";
}
.fa-pie-chart:before {
  content: "\f200";
}
.fa-line-chart:before {
  content: "\f201";
}
.fa-lastfm:before {
  content: "\f202";
}
.fa-lastfm-square:before {
  content: "\f203";
}
.fa-toggle-off:before {
  content: "\f204";
}
.fa-toggle-on:before {
  content: "\f205";
}
.fa-bicycle:before {
  content: "\f206";
}
.fa-bus:before {
  content: "\f207";
}
.fa-ioxhost:before {
  content: "\f208";
}
.fa-angellist:before {
  content: "\f209";
}
.fa-cc:before {
  content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
  content: "\f20b";
}
.fa-meanpath:before {
  content: "\f20c";
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
code {
  color: #000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

    Firefox 28.0+
    Chrome 29.0+
    Internet Explorer 11+ 
    Opera 17.0+

Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
.hbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.vbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
.vbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
  /* Old browsers */
  -webkit-box-direction: reverse;
  -moz-box-direction: reverse;
  box-direction: reverse;
  /* Modern browsers */
  flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
  /* Old browsers */
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
  /* Old browsers */
  -webkit-box-flex: 2;
  -moz-box-flex: 2;
  box-flex: 2;
  /* Modern browsers */
  flex: 2;
}
.box-group1 {
  /*  Deprecated */
  -webkit-box-flex-group: 1;
  -moz-box-flex-group: 1;
  box-flex-group: 1;
}
.box-group2 {
  /* Deprecated */
  -webkit-box-flex-group: 2;
  -moz-box-flex-group: 2;
  box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
  /* Old browsers */
  -webkit-box-pack: start;
  -moz-box-pack: start;
  box-pack: start;
  /* Modern browsers */
  justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
  /* Old browsers */
  -webkit-box-pack: center;
  -moz-box-pack: center;
  box-pack: center;
  /* Modern browsers */
  justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
  /* Old browsers */
  -webkit-box-pack: baseline;
  -moz-box-pack: baseline;
  box-pack: baseline;
  /* Modern browsers */
  justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
  /* Old browsers */
  -webkit-box-pack: stretch;
  -moz-box-pack: stretch;
  box-pack: stretch;
  /* Modern browsers */
  justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
  /* Old browsers */
  -webkit-box-align: start;
  -moz-box-align: start;
  box-align: start;
  /* Modern browsers */
  align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
  /* Old browsers */
  -webkit-box-align: end;
  -moz-box-align: end;
  box-align: end;
  /* Modern browsers */
  align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
  /* Old browsers */
  -webkit-box-align: center;
  -moz-box-align: center;
  box-align: center;
  /* Modern browsers */
  align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
  /* Old browsers */
  -webkit-box-align: baseline;
  -moz-box-align: baseline;
  box-align: baseline;
  /* Modern browsers */
  align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
  /* Old browsers */
  -webkit-box-align: stretch;
  -moz-box-align: stretch;
  box-align: stretch;
  /* Modern browsers */
  align-items: stretch;
}
div.error {
  margin: 2em;
  text-align: center;
}
div.error > h1 {
  font-size: 500%;
  line-height: normal;
}
div.error > p {
  font-size: 200%;
  line-height: normal;
}
div.traceback-wrapper {
  text-align: left;
  max-width: 800px;
  margin: auto;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
body {
  background-color: #fff;
  /* This makes sure that the body covers the entire window and needs to
       be in a different element than the display: box in wrapper below */
  position: absolute;
  left: 0px;
  right: 0px;
  top: 0px;
  bottom: 0px;
  overflow: visible;
}
body > #header {
  /* Initially hidden to prevent FLOUC */
  display: none;
  background-color: #fff;
  /* Display over codemirror */
  position: relative;
  z-index: 100;
}
body > #header #header-container {
  padding-bottom: 5px;
  padding-top: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
body > #header .header-bar {
  width: 100%;
  height: 1px;
  background: #e7e7e7;
  margin-bottom: -1px;
}
@media print {
  body > #header {
    display: none !important;
  }
}
#header-spacer {
  width: 100%;
  visibility: hidden;
}
@media print {
  #header-spacer {
    display: none;
  }
}
#ipython_notebook {
  padding-left: 0px;
  padding-top: 1px;
  padding-bottom: 1px;
}
@media (max-width: 991px) {
  #ipython_notebook {
    margin-left: 10px;
  }
}
#noscript {
  width: auto;
  padding-top: 16px;
  padding-bottom: 16px;
  text-align: center;
  font-size: 22px;
  color: red;
  font-weight: bold;
}
#ipython_notebook img {
  height: 28px;
}
#site {
  width: 100%;
  display: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  overflow: auto;
}
@media print {
  #site {
    height: auto !important;
  }
}
/* Smaller buttons */
.ui-button .ui-button-text {
  padding: 0.2em 0.8em;
  font-size: 77%;
}
input.ui-button {
  padding: 0.3em 0.9em;
}
span#login_widget {
  float: right;
}
span#login_widget > .button,
#logout {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button:focus,
#logout:focus,
span#login_widget > .button.focus,
#logout.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  background-image: none;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus {
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button .badge,
#logout .badge {
  color: #fff;
  background-color: #333;
}
.nav-header {
  text-transform: none;
}
#header > span {
  margin-top: 10px;
}
.modal_stretch .modal-dialog {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
  max-height: calc(100vh - 200px);
  overflow: auto;
  flex: 1;
}
@media (min-width: 768px) {
  .modal .modal-dialog {
    width: 700px;
  }
}
@media (min-width: 768px) {
  select.form-control {
    margin-left: 12px;
    margin-right: 12px;
  }
}
/*!
*
* IPython auth
*
*/
.center-nav {
  display: inline-block;
  margin-bottom: -4px;
}
/*!
*
* IPython tree view
*
*/
/* We need an invisible input field on top of the sentense*/
/* "Drag file onto the list ..." */
.alternate_upload {
  background-color: none;
  display: inline;
}
.alternate_upload.form {
  padding: 0;
  margin: 0;
}
.alternate_upload input.fileinput {
  text-align: center;
  vertical-align: middle;
  display: inline;
  opacity: 0;
  z-index: 2;
  width: 12ex;
  margin-right: -12ex;
}
.alternate_upload .btn-upload {
  height: 22px;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
ul#tabs {
  margin-bottom: 4px;
}
ul#tabs a {
  padding-top: 6px;
  padding-bottom: 4px;
}
ul.breadcrumb a:focus,
ul.breadcrumb a:hover {
  text-decoration: none;
}
ul.breadcrumb i.icon-home {
  font-size: 16px;
  margin-right: 4px;
}
ul.breadcrumb span {
  color: #5e5e5e;
}
.list_toolbar {
  padding: 4px 0 4px 0;
  vertical-align: middle;
}
.list_toolbar .tree-buttons {
  padding-top: 1px;
}
.dynamic-buttons {
  padding-top: 3px;
  display: inline-block;
}
.list_toolbar [class*="span"] {
  min-height: 24px;
}
.list_header {
  font-weight: bold;
  background-color: #EEE;
}
.list_placeholder {
  font-weight: bold;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
}
.list_container {
  margin-top: 4px;
  margin-bottom: 20px;
  border: 1px solid #ddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #ddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #ddd;
}
.list_item a {
  text-decoration: none;
}
.list_item:hover {
  background-color: #fafafa;
}
.list_header > div,
.list_item > div {
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
.list_header > div input,
.list_item > div input {
  margin-right: 7px;
  margin-left: 14px;
  vertical-align: baseline;
  line-height: 22px;
  position: relative;
  top: -1px;
}
.list_header > div .item_link,
.list_item > div .item_link {
  margin-left: -1px;
  vertical-align: baseline;
  line-height: 22px;
}
.new-file input[type=checkbox] {
  visibility: hidden;
}
.item_name {
  line-height: 22px;
  height: 24px;
}
.item_icon {
  font-size: 14px;
  color: #5e5e5e;
  margin-right: 7px;
  margin-left: 7px;
  line-height: 22px;
  vertical-align: baseline;
}
.item_buttons {
  line-height: 1em;
  margin-left: -5px;
}
.item_buttons .btn,
.item_buttons .btn-group,
.item_buttons .input-group {
  float: left;
}
.item_buttons > .btn,
.item_buttons > .btn-group,
.item_buttons > .input-group {
  margin-left: 5px;
}
.item_buttons .btn {
  min-width: 13ex;
}
.item_buttons .running-indicator {
  padding-top: 4px;
  color: #5cb85c;
}
.item_buttons .kernel-name {
  padding-top: 4px;
  color: #5bc0de;
  margin-right: 7px;
  float: left;
}
.toolbar_info {
  height: 24px;
  line-height: 24px;
}
.list_item input:not([type=checkbox]) {
  padding-top: 3px;
  padding-bottom: 3px;
  height: 22px;
  line-height: 14px;
  margin: 0px;
}
.highlight_text {
  color: blue;
}
#project_name {
  display: inline-block;
  padding-left: 7px;
  margin-left: -2px;
}
#project_name > .breadcrumb {
  padding: 0px;
  margin-bottom: 0px;
  background-color: transparent;
  font-weight: bold;
}
#tree-selector {
  padding-right: 0px;
}
#button-select-all {
  min-width: 50px;
}
#select-all {
  margin-left: 7px;
  margin-right: 2px;
}
.menu_icon {
  margin-right: 2px;
}
.tab-content .row {
  margin-left: 0px;
  margin-right: 0px;
}
.folder_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f114";
}
.folder_icon:before.pull-left {
  margin-right: .3em;
}
.folder_icon:before.pull-right {
  margin-left: .3em;
}
.notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
}
.notebook_icon:before.pull-left {
  margin-right: .3em;
}
.notebook_icon:before.pull-right {
  margin-left: .3em;
}
.running_notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
  color: #5cb85c;
}
.running_notebook_icon:before.pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.pull-right {
  margin-left: .3em;
}
.file_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f016";
  position: relative;
  top: -2px;
}
.file_icon:before.pull-left {
  margin-right: .3em;
}
.file_icon:before.pull-right {
  margin-left: .3em;
}
#notebook_toolbar .pull-right {
  padding-top: 0px;
  margin-right: -1px;
}
ul#new-menu {
  left: auto;
  right: 0;
}
.kernel-menu-icon {
  padding-right: 12px;
  width: 24px;
  content: "\f096";
}
.kernel-menu-icon:before {
  content: "\f096";
}
.kernel-menu-icon-current:before {
  content: "\f00c";
}
#tab_content {
  padding-top: 20px;
}
#running .panel-group .panel {
  margin-top: 3px;
  margin-bottom: 1em;
}
#running .panel-group .panel .panel-heading {
  background-color: #EEE;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
  text-decoration: none;
}
#running .panel-group .panel .panel-body {
  padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
  margin-top: 0px;
  margin-bottom: 0px;
  border: 0px;
  border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
  border-bottom: 1px solid #ddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
  border-bottom: 0px;
}
.delete-button {
  display: none;
}
.duplicate-button {
  display: none;
}
.rename-button {
  display: none;
}
.shutdown-button {
  display: none;
}
.dynamic-instructions {
  display: inline-block;
  padding-top: 4px;
}
/*!
*
* IPython text editor webapp
*
*/
.selected-keymap i.fa {
  padding: 0px 5px;
}
.selected-keymap i.fa:before {
  content: "\f00c";
}
#mode-menu {
  overflow: auto;
  max-height: 20em;
}
.edit_app #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.edit_app #menubar .navbar {
  /* Use a negative 1 bottom margin, so the border overlaps the border of the
    header */
  margin-bottom: -1px;
}
.dirty-indicator {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator.pull-left {
  margin-right: .3em;
}
.dirty-indicator.pull-right {
  margin-left: .3em;
}
.dirty-indicator-dirty {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-dirty.pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-clean.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f00c";
}
.dirty-indicator-clean:before.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.pull-right {
  margin-left: .3em;
}
#filename {
  font-size: 16pt;
  display: table;
  padding: 0px 5px;
}
#current-mode {
  padding-left: 5px;
  padding-right: 5px;
}
#texteditor-backdrop {
  padding-top: 20px;
  padding-bottom: 20px;
}
@media not print {
  #texteditor-backdrop {
    background-color: #EEE;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #fff;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI colors. */
.ansibold {
  font-weight: bold;
}
/* use dark versions for foreground, to improve visibility */
.ansiblack {
  color: black;
}
.ansired {
  color: darkred;
}
.ansigreen {
  color: darkgreen;
}
.ansiyellow {
  color: #c4a000;
}
.ansiblue {
  color: darkblue;
}
.ansipurple {
  color: darkviolet;
}
.ansicyan {
  color: steelblue;
}
.ansigray {
  color: gray;
}
/* and light for background, for the same reason */
.ansibgblack {
  background-color: black;
}
.ansibgred {
  background-color: red;
}
.ansibggreen {
  background-color: green;
}
.ansibgyellow {
  background-color: yellow;
}
.ansibgblue {
  background-color: blue;
}
.ansibgpurple {
  background-color: magenta;
}
.ansibgcyan {
  background-color: cyan;
}
.ansibggray {
  background-color: gray;
}
div.cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  border-radius: 2px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  border-width: 1px;
  border-style: solid;
  border-color: transparent;
  width: 100%;
  padding: 5px;
  /* This acts as a spacer between cells, that is outside the border */
  margin: 0px;
  outline: none;
  border-left-width: 1px;
  padding-left: 5px;
  background: linear-gradient(to right, transparent -40px, transparent 1px, transparent 1px, transparent 100%);
}
div.cell.jupyter-soft-selected {
  border-left-color: #90CAF9;
  border-left-color: #E3F2FD;
  border-left-width: 1px;
  padding-left: 5px;
  border-right-color: #E3F2FD;
  border-right-width: 1px;
  background: #E3F2FD;
}
@media print {
  div.cell.jupyter-soft-selected {
    border-color: transparent;
  }
}
div.cell.selected {
  border-color: #ababab;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 5px, transparent 5px, transparent 100%);
}
@media print {
  div.cell.selected {
    border-color: transparent;
  }
}
div.cell.selected.jupyter-soft-selected {
  border-left-width: 0;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 7px, #E3F2FD 7px, #E3F2FD 100%);
}
.edit_mode div.cell.selected {
  border-color: #66BB6A;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #66BB6A -40px, #66BB6A 5px, transparent 5px, transparent 100%);
}
@media print {
  .edit_mode div.cell.selected {
    border-color: transparent;
  }
}
.prompt {
  /* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
  min-width: 14ex;
  /* This padding is tuned to match the padding on the CodeMirror editor. */
  padding: 0.4em;
  margin: 0px;
  font-family: monospace;
  text-align: right;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
  /* Don't highlight prompt number selection */
  -webkit-touch-callout: none;
  -webkit-user-select: none;
  -khtml-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
  /* Use default cursor */
  cursor: default;
}
@media (max-width: 540px) {
  .prompt {
    text-align: left;
  }
}
div.inner_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
@-moz-document url-prefix() {
  div.inner_cell {
    overflow-x: hidden;
  }
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
  border: 1px solid #cfcfcf;
  border-radius: 2px;
  background: #f7f7f7;
  line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
   is no content in the output_subarea and the prompt. The main purpose of this is
   to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
  padding-top: 0;
  padding-bottom: 0;
}
div.unrecognized_cell {
  padding: 5px 5px 5px 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.unrecognized_cell .inner_cell {
  border-radius: 2px;
  padding: 5px;
  font-weight: bold;
  color: red;
  border: 1px solid #cfcfcf;
  background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
  color: inherit;
  text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
  color: inherit;
  text-decoration: none;
}
@media (max-width: 540px) {
  div.unrecognized_cell > div.prompt {
    display: none;
  }
}
div.code_cell {
  /* avoid page breaking on code cells when printing */
}
@media print {
  div.code_cell {
    page-break-inside: avoid;
  }
}
/* any special styling for code cells that are currently running goes here */
div.input {
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.input {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
  color: #303F9F;
  border-top: 1px solid transparent;
}
div.input_area > div.highlight {
  margin: 0.4em;
  border: none;
  padding: 0px;
  background-color: transparent;
}
div.input_area > div.highlight > pre {
  margin: 0px;
  border: none;
  padding: 0px;
  background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
 * monospace font with inconsistent normal/bold/italic height.  See
 * notebookmain.js.  Such fonts will have keywords vertically offset with
 * respect to the rest of the text.  The user should select a better font.
 * See: https://github.com/ipython/ipython/issues/1503
 *
 * .CodeMirror span {
 *      vertical-align: bottom;
 * }
 */
.CodeMirror {
  line-height: 1.21429em;
  /* Changed from 1em to our global default */
  font-size: 14px;
  height: auto;
  /* Changed to auto to autogrow */
  background: none;
  /* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
  /*  The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
  /*  We have found that if it is visible, vertical scrollbars appear with font size changes.*/
  overflow-y: hidden;
  overflow-x: auto;
}
.CodeMirror-lines {
  /* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
  /* we have set a different line-height and want this to scale with that. */
  padding: 0.4em;
}
.CodeMirror-linenumber {
  padding: 0 8px 0 4px;
}
.CodeMirror-gutters {
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.CodeMirror pre {
  /* In CM3 this went to 4px from 0 in CM2. We need the 0 value because of how we size */
  /* .CodeMirror-lines */
  padding: 0;
  border: 0;
  border-radius: 0;
}
/*

Original style from softwaremaniacs.org (c) Ivan Sagalaev <Maniac@SoftwareManiacs.Org>
Adapted from GitHub theme

*/
.highlight-base {
  color: #000;
}
.highlight-variable {
  color: #000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #408080;
  font-style: italic;
}
.highlight-number {
  color: #080;
}
.highlight-atom {
  color: #88F;
}
.highlight-keyword {
  color: #008000;
  font-weight: bold;
}
.highlight-builtin {
  color: #008000;
}
.highlight-error {
  color: #f00;
}
.highlight-operator {
  color: #AA22FF;
  font-weight: bold;
}
.highlight-meta {
  color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
  color: #00f;
}
.highlight-string-2 {
  color: #f50;
}
.highlight-qualifier {
  color: #555;
}
.highlight-bracket {
  color: #997;
}
.highlight-tag {
  color: #170;
}
.highlight-attribute {
  color: #00c;
}
.highlight-header {
  color: blue;
}
.highlight-quote {
  color: #090;
}
.highlight-link {
  color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
  color: #008000;
  font-weight: bold;
}
.cm-s-ipython span.cm-atom {
  color: #88F;
}
.cm-s-ipython span.cm-number {
  color: #080;
}
.cm-s-ipython span.cm-def {
  color: #00f;
}
.cm-s-ipython span.cm-variable {
  color: #000;
}
.cm-s-ipython span.cm-operator {
  color: #AA22FF;
  font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
  color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
  color: #333333;
}
.cm-s-ipython span.cm-comment {
  color: #408080;
  font-style: italic;
}
.cm-s-ipython span.cm-string {
  color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
  color: #f50;
}
.cm-s-ipython span.cm-meta {
  color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
  color: #555;
}
.cm-s-ipython span.cm-builtin {
  color: #008000;
}
.cm-s-ipython span.cm-bracket {
  color: #997;
}
.cm-s-ipython span.cm-tag {
  color: #170;
}
.cm-s-ipython span.cm-attribute {
  color: #00c;
}
.cm-s-ipython span.cm-header {
  color: blue;
}
.cm-s-ipython span.cm-quote {
  color: #090;
}
.cm-s-ipython span.cm-link {
  color: #00c;
}
.cm-s-ipython span.cm-error {
  color: #f00;
}
.cm-s-ipython span.cm-tab {
  background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
  background-position: right;
  background-repeat: no-repeat;
}
div.output_wrapper {
  /* this position must be relative to enable descendents to be absolute within it */
  position: relative;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
  /* ideally, this would be max-height, but FF barfs all over that */
  height: 24em;
  /* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
  width: 100%;
  overflow: auto;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
  margin: 0px;
  padding: 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
div.out_prompt_overlay {
  height: 100%;
  padding: 0px 0.4em;
  position: absolute;
  border-radius: 2px;
}
div.out_prompt_overlay:hover {
  /* use inner shadow to get border that is computed the same on WebKit/FF */
  -webkit-box-shadow: inset 0 0 1px #000;
  box-shadow: inset 0 0 1px #000;
  background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
  color: #D84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
  padding: 0px;
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.output_area .MathJax_Display {
  text-align: left !important;
}
div.output_area .rendered_html table {
  margin-left: 0;
  margin-right: 0;
}
div.output_area .rendered_html img {
  margin-left: 0;
  margin-right: 0;
}
div.output_area img,
div.output_area svg {
  max-width: 100%;
  height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
  max-width: none;
}
/* This is needed to protect the pre formating from global settings such
   as that of bootstrap */
.output {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.output_area {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
div.output_area pre {
  margin: 0;
  padding: 0;
  border: 0;
  vertical-align: baseline;
  color: black;
  background-color: transparent;
  border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
   the prompt div. */
div.output_subarea {
  overflow-x: auto;
  padding: 0.4em;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
  max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
  overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
   output types */
/* all text output has this class: */
div.output_text {
  text-align: left;
  color: #000;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
  background: #fdd;
  /* very light red background for stderr */
}
div.output_latex {
  text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
  padding: 0;
}
.js-error {
  color: darkred;
}
/* raw_input styles */
div.raw_input_container {
  line-height: 1.21429em;
  padding-top: 5px;
}
pre.raw_input_prompt {
  /* nothing needed here. */
}
input.raw_input {
  font-family: monospace;
  font-size: inherit;
  color: inherit;
  width: auto;
  /* make sure input baseline aligns with prompt */
  vertical-align: baseline;
  /* padding + margin = 0.5em between prompt and cursor */
  padding: 0em 0.25em;
  margin: 0em 0.25em;
}
input.raw_input:focus {
  box-shadow: none;
}
p.p-space {
  margin-bottom: 10px;
}
div.output_unrecognized {
  padding: 5px;
  font-weight: bold;
  color: red;
}
div.output_unrecognized a {
  color: inherit;
  text-decoration: none;
}
div.output_unrecognized a:hover {
  color: inherit;
  text-decoration: none;
}
.rendered_html {
  color: #000;
  /* any extras will just be numbers: */
}
.rendered_html em {
  font-style: italic;
}
.rendered_html strong {
  font-weight: bold;
}
.rendered_html u {
  text-decoration: underline;
}
.rendered_html :link {
  text-decoration: underline;
}
.rendered_html :visited {
  text-decoration: underline;
}
.rendered_html h1 {
  font-size: 185.7%;
  margin: 1.08em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h2 {
  font-size: 157.1%;
  margin: 1.27em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h3 {
  font-size: 128.6%;
  margin: 1.55em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h4 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h5 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h6 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h1:first-child {
  margin-top: 0.538em;
}
.rendered_html h2:first-child {
  margin-top: 0.636em;
}
.rendered_html h3:first-child {
  margin-top: 0.777em;
}
.rendered_html h4:first-child {
  margin-top: 1em;
}
.rendered_html h5:first-child {
  margin-top: 1em;
}
.rendered_html h6:first-child {
  margin-top: 1em;
}
.rendered_html ul {
  list-style: disc;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ul ul {
  list-style: square;
  margin: 0em 2em;
}
.rendered_html ul ul ul {
  list-style: circle;
  margin: 0em 2em;
}
.rendered_html ol {
  list-style: decimal;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
  margin: 0em 2em;
}
.rendered_html * + ul {
  margin-top: 1em;
}
.rendered_html * + ol {
  margin-top: 1em;
}
.rendered_html hr {
  color: black;
  background-color: black;
}
.rendered_html pre {
  margin: 1em 2em;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  background-color: #fff;
  color: #000;
  font-size: 100%;
  padding: 0px;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: 1px solid black;
  border-collapse: collapse;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  border: 1px solid black;
  border-collapse: collapse;
  margin: 1em 2em;
}
.rendered_html td,
.rendered_html th {
  text-align: left;
  vertical-align: middle;
  padding: 4px;
}
.rendered_html th {
  font-weight: bold;
}
.rendered_html * + table {
  margin-top: 1em;
}
.rendered_html p {
  text-align: left;
}
.rendered_html * + p {
  margin-top: 1em;
}
.rendered_html img {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.rendered_html * + img {
  margin-top: 1em;
}
.rendered_html img,
.rendered_html svg {
  max-width: 100%;
  height: auto;
}
.rendered_html img.unconfined,
.rendered_html svg.unconfined {
  max-width: none;
}
div.text_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.text_cell > div.prompt {
    display: none;
  }
}
div.text_cell_render {
  /*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
  outline: none;
  resize: none;
  width: inherit;
  border-style: none;
  padding: 0.5em 0.5em 0.5em 0.4em;
  color: #000;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
a.anchor-link:link {
  text-decoration: none;
  padding: 0px 20px;
  visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
  visibility: visible;
}
.text_cell.rendered .input_area {
  display: none;
}
.text_cell.rendered .rendered_html {
  overflow-x: auto;
  overflow-y: hidden;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
  font-weight: bold;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
  font-size: 185.7%;
}
.cm-header-2 {
  font-size: 157.1%;
}
.cm-header-3 {
  font-size: 128.6%;
}
.cm-header-4 {
  font-size: 110%;
}
.cm-header-5 {
  font-size: 100%;
  font-style: italic;
}
.cm-header-6 {
  font-size: 100%;
  font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
  .notebook_app {
    padding-left: 0px;
    padding-right: 0px;
  }
}
#ipython-main-app {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook_panel {
  margin: 0px;
  padding: 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook {
  font-size: 14px;
  line-height: 20px;
  overflow-y: hidden;
  overflow-x: auto;
  width: 100%;
  /* This spaces the page away from the edge of the notebook area */
  padding-top: 20px;
  margin: 0px;
  outline: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  min-height: 100%;
}
@media not print {
  #notebook-container {
    padding: 15px;
    background-color: #fff;
    min-height: 0;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
@media print {
  #notebook-container {
    width: 100%;
  }
}
div.ui-widget-content {
  border: 1px solid #ababab;
  outline: none;
}
pre.dialog {
  background-color: #f7f7f7;
  border: 1px solid #ddd;
  border-radius: 2px;
  padding: 0.4em;
  padding-left: 2em;
}
p.dialog {
  padding: 0.2em;
}
/* Word-wrap output correctly.  This is the CSS3 spelling, though Firefox seems
   to not honor it correctly.  Webkit browsers (Chrome, rekonq, Safari) do.
 */
pre,
code,
kbd,
samp {
  white-space: pre-wrap;
}
#fonttest {
  font-family: monospace;
}
p {
  margin-bottom: 0;
}
.end_space {
  min-height: 100px;
  transition: height .2s ease;
}
.notebook_app > #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
  .notebook_app {
    background-color: #EEE;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
  border: thin solid #CFCFCF;
  border-bottom: none;
  background: #EEE;
  border-radius: 2px 2px 0px 0px;
  width: 100%;
  height: 29px;
  padding-right: 4px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
  display: -webkit-flex;
}
@media print {
  .celltoolbar {
    display: none;
  }
}
.ctb_hideshow {
  display: none;
  vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
   Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
  display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border-top-right-radius: 0px;
  border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border: 1px solid #cfcfcf;
}
.celltoolbar {
  font-size: 87%;
  padding-top: 3px;
}
.celltoolbar select {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  width: inherit;
  font-size: inherit;
  height: 22px;
  padding: 0px;
  display: inline-block;
}
.celltoolbar select:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999;
}
.celltoolbar select::-ms-expand {
  border: 0;
  background-color: transparent;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
  background-color: #eeeeee;
  opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
  cursor: not-allowed;
}
textarea.celltoolbar select {
  height: auto;
}
select.celltoolbar select {
  height: 30px;
  line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
  height: auto;
}
.celltoolbar label {
  margin-left: 5px;
  margin-right: 5px;
}
.completions {
  position: absolute;
  z-index: 110;
  overflow: hidden;
  border: 1px solid #ababab;
  border-radius: 2px;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  line-height: 1;
}
.completions select {
  background: white;
  outline: none;
  border: none;
  padding: 0px;
  margin: 0px;
  overflow: auto;
  font-family: monospace;
  font-size: 110%;
  color: #000;
  width: auto;
}
.completions select option.context {
  color: #286090;
}
#kernel_logo_widget {
  float: right !important;
  float: right;
}
#kernel_logo_widget .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
#menubar {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  margin-top: 1px;
}
#menubar .navbar {
  border-top: 1px;
  border-radius: 0px 0px 2px 2px;
  margin-bottom: 0px;
}
#menubar .navbar-toggle {
  float: left;
  padding-top: 7px;
  padding-bottom: 7px;
  border: none;
}
#menubar .navbar-collapse {
  clear: left;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -1px;
}
.dropdown-submenu:hover > .dropdown-menu {
  display: block;
}
.dropdown-submenu > a:after {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  display: block;
  content: "\f0da";
  float: right;
  color: #333333;
  margin-top: 2px;
  margin-right: -10px;
}
.dropdown-submenu > a:after.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
.dropdown-submenu:hover > a:after {
  color: #262626;
}
.dropdown-submenu.pull-left {
  float: none;
}
.dropdown-submenu.pull-left > .dropdown-menu {
  left: -100%;
  margin-left: 10px;
}
#notification_area {
  float: right !important;
  float: right;
  z-index: 10;
}
.indicator_area {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#kernel_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
  padding-left: 5px;
  padding-right: 5px;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  margin-top: 2px;
  margin-bottom: 0px;
  margin-left: 0px;
  margin-right: 0px;
  display: none;
}
.modal_indicator:before {
  width: 1.28571429em;
  text-align: center;
}
.edit_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f040";
}
.edit_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: ' ';
}
.command_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f10c";
}
.kernel_idle_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f111";
}
.kernel_busy_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f1e2";
}
.kernel_dead_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f127";
}
.kernel_disconnected_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
  margin-left: .3em;
}
.notification_widget {
  color: #777;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  background-image: none;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget .badge {
  color: #fff;
  background-color: #333;
}
.notification_widget.warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  background-image: none;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.notification_widget.success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  background-image: none;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.notification_widget.info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  background-image: none;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.notification_widget.danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  background-image: none;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger .badge {
  color: #d9534f;
  background-color: #fff;
}
div#pager {
  background-color: #fff;
  font-size: 14px;
  line-height: 20px;
  overflow: hidden;
  display: none;
  position: fixed;
  bottom: 0px;
  width: 100%;
  max-height: 50%;
  padding-top: 8px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  /* Display over codemirror */
  z-index: 100;
  /* Hack which prevents jquery ui resizable from changing top. */
  top: auto !important;
}
div#pager pre {
  line-height: 1.21429em;
  color: #000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-contents {
  position: relative;
  overflow: auto;
  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
  position: relative;
  padding: 15px 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
  top: 0px;
  height: 8px;
  background: #f7f7f7;
  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
  /* This injects handle bars (a short, wide = symbol) for 
        the resize handle. */
}
div#pager .ui-resizable-handle::after {
  content: '';
  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
  margin-left: -15px;
  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  line-height: 1.8em;
}
.shortcut_key {
  display: inline-block;
  width: 20ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
  display: inline-block;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
span.save_widget {
  margin-top: 6px;
}
span.save_widget span.filename {
  height: 1em;
  line-height: 1em;
  padding: 3px;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
  }
  span.checkpoint_status,
  span.autosave_status {
    display: none;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  span.checkpoint_status {
    display: none;
  }
  span.autosave_status {
    font-size: x-small;
  }
}
.toolbar {
  padding: 0px;
  margin-left: -5px;
  margin-top: 2px;
  margin-bottom: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.toolbar select,
.toolbar label {
  width: auto;
  vertical-align: middle;
  margin-right: 2px;
  margin-bottom: 0px;
  display: inline;
  font-size: 92%;
  margin-left: 0.3em;
  margin-right: 0.3em;
  padding: 0px;
  padding-top: 3px;
}
.toolbar .btn {
  padding: 2px 8px;
}
.toolbar .btn-group {
  margin-top: 0px;
  margin-left: 5px;
}
#maintoolbar {
  margin-bottom: -3px;
  margin-top: -8px;
  border: 0px;
  min-height: 27px;
  margin-left: 0px;
  padding-top: 11px;
  padding-bottom: 3px;
}
#maintoolbar .navbar-text {
  float: none;
  vertical-align: middle;
  text-align: right;
  margin-left: 5px;
  margin-right: 0px;
  margin-top: 0px;
}
.select-xs {
  height: 24px;
}
.pulse,
.dropdown-menu > li > a.pulse,
li.pulse > a.dropdown-toggle,
li.pulse.open > a.dropdown-toggle {
  background-color: #F37626;
  color: white;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
 * of chance of beeing generated from the ../less/[samename].less file, you can
 * try to get back the less file by reverting somme commit in history
 **/
/*
 * We'll try to get something pretty, so we
 * have some strange css to have the scroll bar on
 * the left with fix button on the top right of the tooltip
 */
@-moz-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-webkit-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-moz-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
@-webkit-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
/*properties of tooltip after "expand"*/
.bigtooltip {
  overflow: auto;
  height: 200px;
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
}
/*properties of tooltip before "expand"*/
.smalltooltip {
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
  text-overflow: ellipsis;
  overflow: hidden;
  height: 80px;
}
.tooltipbuttons {
  position: absolute;
  padding-right: 15px;
  top: 0px;
  right: 0px;
}
.tooltiptext {
  /*avoid the button to overlap on some docstring*/
  padding-right: 30px;
}
.ipython_tooltip {
  max-width: 700px;
  /*fade-in animation when inserted*/
  -webkit-animation: fadeOut 400ms;
  -moz-animation: fadeOut 400ms;
  animation: fadeOut 400ms;
  -webkit-animation: fadeIn 400ms;
  -moz-animation: fadeIn 400ms;
  animation: fadeIn 400ms;
  vertical-align: middle;
  background-color: #f7f7f7;
  overflow: visible;
  border: #ababab 1px solid;
  outline: none;
  padding: 3px;
  margin: 0px;
  padding-left: 7px;
  font-family: monospace;
  min-height: 50px;
  -moz-box-shadow: 0px 6px 10px -1px #adadad;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  border-radius: 2px;
  position: absolute;
  z-index: 1000;
}
.ipython_tooltip a {
  float: right;
}
.ipython_tooltip .tooltiptext pre {
  border: 0;
  border-radius: 0;
  font-size: 100%;
  background-color: #f7f7f7;
}
.pretooltiparrow {
  left: 0px;
  margin: 0px;
  top: -16px;
  width: 40px;
  height: 16px;
  overflow: hidden;
  position: absolute;
}
.pretooltiparrow:before {
  background-color: #f7f7f7;
  border: 1px #ababab solid;
  z-index: 11;
  content: "";
  position: absolute;
  left: 15px;
  top: 10px;
  width: 25px;
  height: 25px;
  -webkit-transform: rotate(45deg);
  -moz-transform: rotate(45deg);
  -ms-transform: rotate(45deg);
  -o-transform: rotate(45deg);
}
ul.typeahead-list i {
  margin-left: -10px;
  width: 18px;
}
ul.typeahead-list {
  max-height: 80vh;
  overflow: auto;
}
ul.typeahead-list > li > a {
  /** Firefox bug **/
  /* see https://github.com/jupyter/notebook/issues/559 */
  white-space: normal;
}
.cmd-palette .modal-body {
  padding: 7px;
}
.cmd-palette form {
  background: white;
}
.cmd-palette input {
  outline: none;
}
.no-shortcut {
  display: none;
}
.command-shortcut:before {
  content: "(command)";
  padding-right: 3px;
  color: #777777;
}
.edit-shortcut:before {
  content: "(edit)";
  padding-right: 3px;
  color: #777777;
}
#find-and-replace #replace-preview .match,
#find-and-replace #replace-preview .insert {
  background-color: #BBDEFB;
  border-color: #90CAF9;
  border-style: solid;
  border-width: 1px;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .match {
  background-color: #FFCDD2;
  border-color: #EF9A9A;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .insert {
  background-color: #C8E6C9;
  border-color: #A5D6A7;
  border-radius: 0px;
}
#find-and-replace #replace-preview {
  max-height: 60vh;
  overflow: auto;
}
#find-and-replace #replace-preview pre {
  padding: 5px 10px;
}
.terminal-app {
  background: #EEE;
}
.terminal-app #header {
  background: #fff;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.terminal-app .terminal {
  float: left;
  font-family: monospace;
  color: white;
  background: black;
  padding: 0.4em;
  border-radius: 2px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
}
.terminal-app .terminal,
.terminal-app .terminal dummy-screen {
  line-height: 1em;
  font-size: 14px;
}
.terminal-app .terminal-cursor {
  color: black;
  background: white;
}
.terminal-app #terminado-container {
  margin-top: 20px;
}
/*# sourceMappingURL=style.min.css.map */
    </style>
<style type="text/css">
    .highlight .hll { background-color: #ffffcc }
.highlight  { background: #f8f8f8; }
.highlight .c { color: #408080; font-style: italic } /* Comment */
.highlight .err { border: 1px solid #FF0000 } /* Error */
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
.highlight .o { color: #666666 } /* Operator */
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
.highlight .cs { color: #408080; font-style: italic } /* Comment.Special */
.highlight .gd { color: #A00000 } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .gr { color: #FF0000 } /* Generic.Error */
.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
.highlight .gi { color: #00A000 } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #000080; font-weight: bold } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
.highlight .gt { color: #0044DD } /* Generic.Traceback */
.highlight .kc { color: #008000; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008000 } /* Keyword.Pseudo */
.highlight .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #B00040 } /* Keyword.Type */
.highlight .m { color: #666666 } /* Literal.Number */
.highlight .s { color: #BA2121 } /* Literal.String */
.highlight .na { color: #7D9029 } /* Name.Attribute */
.highlight .nb { color: #008000 } /* Name.Builtin */
.highlight .nc { color: #0000FF; font-weight: bold } /* Name.Class */
.highlight .no { color: #880000 } /* Name.Constant */
.highlight .nd { color: #AA22FF } /* Name.Decorator */
.highlight .ni { color: #999999; font-weight: bold } /* Name.Entity */
.highlight .ne { color: #D2413A; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0000FF } /* Name.Function */
.highlight .nl { color: #A0A000 } /* Name.Label */
.highlight .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */
.highlight .nt { color: #008000; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #19177C } /* Name.Variable */
.highlight .ow { color: #AA22FF; font-weight: bold } /* Operator.Word */
.highlight .w { color: #bbbbbb } /* Text.Whitespace */
.highlight .mb { color: #666666 } /* Literal.Number.Bin */
.highlight .mf { color: #666666 } /* Literal.Number.Float */
.highlight .mh { color: #666666 } /* Literal.Number.Hex */
.highlight .mi { color: #666666 } /* Literal.Number.Integer */
.highlight .mo { color: #666666 } /* Literal.Number.Oct */
.highlight .sb { color: #BA2121 } /* Literal.String.Backtick */
.highlight .sc { color: #BA2121 } /* Literal.String.Char */
.highlight .sd { color: #BA2121; font-style: italic } /* Literal.String.Doc */
.highlight .s2 { color: #BA2121 } /* Literal.String.Double */
.highlight .se { color: #BB6622; font-weight: bold } /* Literal.String.Escape */
.highlight .sh { color: #BA2121 } /* Literal.String.Heredoc */
.highlight .si { color: #BB6688; font-weight: bold } /* Literal.String.Interpol */
.highlight .sx { color: #008000 } /* Literal.String.Other */
.highlight .sr { color: #BB6688 } /* Literal.String.Regex */
.highlight .s1 { color: #BA2121 } /* Literal.String.Single */
.highlight .ss { color: #19177C } /* Literal.String.Symbol */
.highlight .bp { color: #008000 } /* Name.Builtin.Pseudo */
.highlight .vc { color: #19177C } /* Name.Variable.Class */
.highlight .vg { color: #19177C } /* Name.Variable.Global */
.highlight .vi { color: #19177C } /* Name.Variable.Instance */
.highlight .il { color: #666666 } /* Literal.Number.Integer.Long */
    </style>
<style type="text/css">
    
/* Temporary definitions which will become obsolete with Notebook release 5.0 */
.ansi-black-fg { color: #3E424D; }
.ansi-black-bg { background-color: #3E424D; }
.ansi-black-intense-fg { color: #282C36; }
.ansi-black-intense-bg { background-color: #282C36; }
.ansi-red-fg { color: #E75C58; }
.ansi-red-bg { background-color: #E75C58; }
.ansi-red-intense-fg { color: #B22B31; }
.ansi-red-intense-bg { background-color: #B22B31; }
.ansi-green-fg { color: #00A250; }
.ansi-green-bg { background-color: #00A250; }
.ansi-green-intense-fg { color: #007427; }
.ansi-green-intense-bg { background-color: #007427; }
.ansi-yellow-fg { color: #DDB62B; }
.ansi-yellow-bg { background-color: #DDB62B; }
.ansi-yellow-intense-fg { color: #B27D12; }
.ansi-yellow-intense-bg { background-color: #B27D12; }
.ansi-blue-fg { color: #208FFB; }
.ansi-blue-bg { background-color: #208FFB; }
.ansi-blue-intense-fg { color: #0065CA; }
.ansi-blue-intense-bg { background-color: #0065CA; }
.ansi-magenta-fg { color: #D160C4; }
.ansi-magenta-bg { background-color: #D160C4; }
.ansi-magenta-intense-fg { color: #A03196; }
.ansi-magenta-intense-bg { background-color: #A03196; }
.ansi-cyan-fg { color: #60C6C8; }
.ansi-cyan-bg { background-color: #60C6C8; }
.ansi-cyan-intense-fg { color: #258F8F; }
.ansi-cyan-intense-bg { background-color: #258F8F; }
.ansi-white-fg { color: #C5C1B4; }
.ansi-white-bg { background-color: #C5C1B4; }
.ansi-white-intense-fg { color: #A1A6B2; }
.ansi-white-intense-bg { background-color: #A1A6B2; }

.ansi-bold { font-weight: bold; }

    </style>


<style type="text/css">
/* Overrides of notebook CSS for static HTML export */
body {
  overflow: visible;
  padding: 8px;
}

div#notebook {
  overflow: visible;
  border-top: none;
}

@media print {
  div.cell {
    display: block;
    page-break-inside: avoid;
  } 
  div.output_wrapper { 
    display: block;
    page-break-inside: avoid; 
  }
  div.output { 
    display: block;
    page-break-inside: avoid; 
  }
}
</style>

<!-- Custom stylesheet, it must be in the same directory as the html file -->
<link rel="stylesheet" href="custom.css">

<!-- Loading mathjax macro -->
<!-- Load mathjax -->
    <script src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_HTML"></script>
    <!-- MathJax configuration -->
    <script type="text/x-mathjax-config">
    MathJax.Hub.Config({
        tex2jax: {
            inlineMath: [ ['$','$'], ["\\(","\\)"] ],
            displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
            processEscapes: true,
            processEnvironments: true
        },
        // Center justify equations in code and markdown cells. Elsewhere
        // we use CSS to left justify single line equations in code cells.
        displayAlign: 'center',
        "HTML-CSS": {
            styles: {'.MathJax_Display': {"margin": 0}},
            linebreaks: { automatic: true }
        }
    });
    </script>
    <!-- End of mathjax configuration --></head>
<body>
  <div tabindex="-1" id="notebook" class="border-box-sizing">
    <div class="container" id="notebook-container">

<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="6.-Regression-(Linear-and-Nonlinear)">6. Regression (Linear and Nonlinear)<a class="anchor-link" href="#6.-Regression-(Linear-and-Nonlinear)">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[2]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">from</span> <span class="nn">matplotlib</span> <span class="k">import</span> <span class="n">pyplot</span> <span class="k">as</span> <span class="n">plt</span>
<span class="o">%</span><span class="k">matplotlib</span> inline
</pre></div>

</div>
</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="Linear-regression-with-scipy.stats.linregress">Linear regression with scipy.stats.linregress<a class="anchor-link" href="#Linear-regression-with-scipy.stats.linregress">&#182;</a></h2><p>Check the documentation
<a href="http://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.linregress.html">http://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.linregress.html</a></p>
<p><code>scipy.stats.linregress(x, y=None)</code></p>
<p>Calculate a linear least-squares regression for two sets of measurements.</p>
<p>Parameters:</p>
<ul>
<li>x, y : array_like
Two sets of measurements. Both arrays should have the same length. If only x is given (and y=None), then it must be a two-dimensional array where one dimension has length 2. The two sets of measurements are then found by splitting the array along the length-2 dimension.</li>
</ul>
<p>Returns:</p>
<ul>
<li>slope : float
slope of the regression line</li>
<li>intercept : float
intercept of the regression line</li>
<li>rvalue : float
correlation coefficient</li>
<li>pvalue : float
two-sided p-value for a hypothesis test whose null hypothesis is that the slope is zero.</li>
<li>stderr : float
Standard error of the estimate</li>
</ul>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[4]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">scipy.stats</span>
<span class="n">x_data</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">,</span>  <span class="mf">5.0</span><span class="p">,</span> <span class="mf">7.5</span><span class="p">])</span>
<span class="n">y_data</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.2</span><span class="p">,</span> <span class="mf">2.8</span><span class="p">,</span> <span class="mf">5.2</span><span class="p">,</span> <span class="mf">7.2</span><span class="p">,</span> <span class="mf">10.6</span><span class="p">,</span> <span class="mf">20.0</span><span class="p">])</span>
<span class="n">slope</span><span class="p">,</span> <span class="n">intercept</span><span class="p">,</span> <span class="n">rvalue</span><span class="p">,</span> <span class="n">pvalue</span><span class="p">,</span> <span class="n">stderr</span> <span class="o">=</span> <span class="n">scipy</span><span class="o">.</span><span class="n">stats</span><span class="o">.</span><span class="n">linregress</span><span class="p">(</span><span class="n">x_data</span><span class="p">,</span> <span class="n">y_data</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">slope</span><span class="p">,</span> <span class="n">intercept</span><span class="p">,</span> <span class="n">rvalue</span><span class="p">,</span> <span class="n">pvalue</span><span class="p">,</span> <span class="n">stderr</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Slope: </span><span class="si">{}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">slope</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Intercept: </span><span class="si">{}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">intercept</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Coefficient of determination (r squared): </span><span class="si">{}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">rvalue</span><span class="o">*</span><span class="n">rvalue</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;p-value (probability that the slope is zero): </span><span class="si">{}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">pvalue</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Standard error in slope: </span><span class="si">{}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">stderr</span><span class="p">))</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_data</span><span class="p">,</span> <span class="n">y_data</span><span class="p">,</span> <span class="s1">&#39;o&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_data</span><span class="p">,</span> <span class="n">x_data</span><span class="o">*</span><span class="n">slope</span><span class="o">+</span><span class="n">intercept</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>2.53490566038 -0.193867924528 0.988506780938 0.000197382033495 0.193836934584
Slope: 2.5349056603773583
Intercept: -0.19386792452830104
Coefficient of determination (r squared): 0.9771456559598832
p-value (probability that the slope is zero): 0.00019738203349532114
Standard error in slope: 0.1938369345841272
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgAAAAFkCAYAAABW9YMrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Notice that the documentation has a "see also" section that points to optimize.curve_fit. Let's check that out next</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="Nonlinear-regression-with-scipy.optimize.curve_fit">Nonlinear regression with scipy.optimize.curve_fit<a class="anchor-link" href="#Nonlinear-regression-with-scipy.optimize.curve_fit">&#182;</a></h2><p><code>scipy.optimize.curve_fit(f, xdata, ydata, p0=None, sigma=None, absolute_sigma=False, check_finite=True, bounds=(-inf, inf), method=None, **kwargs)</code></p>
<p>This is quite a powerful function, giving access to several methods, bounds on the parameters, rescaling options, etc., so it's worth reading the documentation:
<a href="http://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.curve_fit.html">http://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.curve_fit.html</a></p>
<p>However, for a simple case it's quite easy to use.
We define a function <code>f(x)</code> such that <code>ydata = f(xdata, *params) + eps</code> and it will optimize the parameters <code>params</code> to minimize the square of the errors <code>eps</code>, i.e. make the function <code>f</code> fit the data (<code>xdata, ydata</code>).</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>For the simplest example, we can use it to fit a linear function like we did above. (Though if we <em>did</em> want to fit a linear funciton, we'd probably use the method above).</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[5]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">scipy.optimize</span>
<span class="k">def</span> <span class="nf">linear_function</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">slope</span><span class="p">,</span> <span class="n">intercept</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">x</span><span class="o">*</span><span class="n">slope</span> <span class="o">+</span> <span class="n">intercept</span>

<span class="n">x_data</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">,</span>  <span class="mf">5.0</span><span class="p">,</span> <span class="mf">7.5</span><span class="p">])</span>
<span class="n">y_data</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.2</span><span class="p">,</span> <span class="mf">2.8</span><span class="p">,</span> <span class="mf">5.2</span><span class="p">,</span> <span class="mf">7.2</span><span class="p">,</span> <span class="mf">10.6</span><span class="p">,</span> <span class="mf">20.0</span><span class="p">])</span>

<span class="n">optimal_parameters</span><span class="p">,</span> <span class="n">covariance</span> <span class="o">=</span> <span class="n">scipy</span><span class="o">.</span><span class="n">optimize</span><span class="o">.</span><span class="n">curve_fit</span><span class="p">(</span><span class="n">linear_function</span><span class="p">,</span> <span class="n">x_data</span><span class="p">,</span> <span class="n">y_data</span><span class="p">)</span>
<span class="c1"># That&#39;s it! In this exampe we didn&#39;t even need to give it a starting guess!</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Slope: </span><span class="si">{}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">[</span><span class="mi">0</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Intercept: </span><span class="si">{}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span>

<span class="c1"># Use the covariance matrix to find the standard errors.</span>
<span class="c1"># The diagonals give the variance, so...</span>
<span class="n">parameter_errors</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">diag</span><span class="p">(</span><span class="n">covariance</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Slope: </span><span class="si">{}</span><span class="s2"> +/- </span><span class="si">{}</span><span class="s2"> (1 st. dev.)&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">parameter_errors</span><span class="p">[</span><span class="mi">0</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Intercept: </span><span class="si">{}</span><span class="s2"> +/- </span><span class="si">{}</span><span class="s2"> (1 st. dev.)&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">parameter_errors</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_data</span><span class="p">,</span> <span class="n">y_data</span><span class="p">,</span> <span class="s1">&#39;o&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_data</span><span class="p">,</span> <span class="n">linear_function</span><span class="p">(</span><span class="n">x_data</span><span class="p">,</span> <span class="o">*</span><span class="n">optimal_parameters</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>Slope: 2.534905655627421
Intercept: -0.19386789772784804
Slope: 2.534905655627421 +/- 0.19383692678633496 (1 st. dev.)
Intercept: -0.19386789772784804 +/- 0.773325933927545 (1 st. dev.)
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgAAAAFkCAYAAABW9YMrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Now we will try a more complicated function with three parameters, $a, b, c$:</p>
$$y = f(x) = \frac{a x^2}{(1 + b x + c x^2)}$$<p>I generated some pretend data by using the function with $(a,b,c) = (20, 0.5, 20)$ then adding some random noise and tweaking one of the points slightly. We'll see if we can retrieve the paramaters by fitting the function to my pretend data.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[7]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">complicated_function</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
    <span class="s2">&quot;A more complicated function with 3 parameters&quot;</span>
    <span class="k">return</span> <span class="n">a</span><span class="o">*</span><span class="n">x</span><span class="o">*</span><span class="n">x</span> <span class="o">/</span> <span class="p">(</span><span class="mi">1</span> <span class="o">+</span> <span class="n">b</span><span class="o">*</span><span class="n">x</span> <span class="o">+</span> <span class="n">c</span><span class="o">*</span><span class="n">x</span><span class="o">*</span><span class="n">x</span><span class="p">)</span>

<span class="c1"># These data were generated by adding random noise to the original function like this:</span>
<span class="c1">#x_data = np.linspace(0,1,11)</span>
<span class="c1">#y_data = complicated_function(x,20,0.5,20)*(1+np.random.normal(scale=0.05,size=x.size))+np.random.normal(scale=0.05,size=x.size)</span>
<span class="c1"># (then manually tweaked a bit)</span>
<span class="n">x_data</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span> <span class="mf">0.</span> <span class="p">,</span>  <span class="mf">0.1</span><span class="p">,</span>  <span class="mf">0.2</span><span class="p">,</span>  <span class="mf">0.3</span><span class="p">,</span>  <span class="mf">0.4</span><span class="p">,</span>  <span class="mf">0.5</span><span class="p">,</span>  <span class="mf">0.6</span><span class="p">,</span>  <span class="mf">0.7</span><span class="p">,</span>  <span class="mf">0.8</span><span class="p">,</span>  <span class="mf">0.9</span><span class="p">,</span>  <span class="mf">1.</span> <span class="p">])</span>
<span class="n">y_data</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span> <span class="mf">0.01717205</span><span class="p">,</span>  <span class="mf">0.1005844</span> <span class="p">,</span>  <span class="mf">0.43536816</span><span class="p">,</span>  <span class="mf">0.59862244</span><span class="p">,</span>  <span class="mf">0.76359374</span><span class="p">,</span>
        <span class="mf">0.77385322</span><span class="p">,</span>  <span class="mf">0.89904593</span><span class="p">,</span>  <span class="mf">0.86883376</span><span class="p">,</span>  <span class="mf">0.87039673</span><span class="p">,</span>  <span class="o">.</span><span class="mi">95</span><span class="p">,</span>
        <span class="mf">0.95870025</span><span class="p">])</span>

<span class="c1"># Fit the parameters to the imperfect x_data and y_data</span>
<span class="n">optimal_parameters</span><span class="p">,</span> <span class="n">covariance</span> <span class="o">=</span> <span class="n">scipy</span><span class="o">.</span><span class="n">optimize</span><span class="o">.</span><span class="n">curve_fit</span><span class="p">(</span><span class="n">complicated_function</span><span class="p">,</span>
                                                          <span class="n">x_data</span><span class="p">,</span>
                                                          <span class="n">y_data</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">report</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">,</span> <span class="n">covariance</span><span class="p">):</span>
    <span class="s2">&quot;Make this a function so we can reuse it in cells below&quot;</span>
    <span class="n">parameter_errors</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">diag</span><span class="p">(</span><span class="n">covariance</span><span class="p">))</span>
    <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">)):</span>
        <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Parameter </span><span class="si">{}</span><span class="s2">: </span><span class="si">{}</span><span class="s2"> +/- </span><span class="si">{}</span><span class="s2"> (1 st. dev.)&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">i</span><span class="p">,</span>
                                                            <span class="n">optimal_parameters</span><span class="p">[</span><span class="n">i</span><span class="p">],</span>
                                                            <span class="n">parameter_errors</span><span class="p">[</span><span class="n">i</span><span class="p">]))</span>

    <span class="c1"># Plot the data</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_data</span><span class="p">,</span> <span class="n">y_data</span><span class="p">,</span> <span class="s1">&#39;o&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;data&#39;</span><span class="p">)</span>

    <span class="c1"># Make a new x array with 50 points for smoother lines</span>
    <span class="n">x_many_points</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="n">x_data</span><span class="o">.</span><span class="n">min</span><span class="p">(),</span><span class="n">x_data</span><span class="o">.</span><span class="n">max</span><span class="p">(),</span><span class="mi">50</span><span class="p">)</span>
    <span class="c1"># Plot the fitted curve</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_many_points</span><span class="p">,</span> <span class="n">complicated_function</span><span class="p">(</span><span class="n">x_many_points</span><span class="p">,</span> <span class="o">*</span><span class="n">optimal_parameters</span><span class="p">),</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;fitted&#39;</span><span class="p">)</span>
    <span class="c1"># Plot the original curve used to generate the data in the first place</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_many_points</span><span class="p">,</span> <span class="n">complicated_function</span><span class="p">(</span><span class="n">x_many_points</span><span class="p">,</span><span class="mi">20</span><span class="p">,</span><span class="mf">0.5</span><span class="p">,</span><span class="mi">20</span><span class="p">),</span> <span class="s1">&#39;:&#39;</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;original&#39;</span><span class="p">)</span>
    <span class="c1"># Add the legend, in the &quot;best&quot; location to avoid hiding the data</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;best&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">report</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">,</span> <span class="n">covariance</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>Parameter 0: 15.80386993892416 +/- 4.550471169498874 (1 st. dev.)
Parameter 1: -0.4695296213038813 +/- 1.2491951621596284 (1 st. dev.)
Parameter 2: 16.34216321366786 +/- 3.573450321854537 (1 st. dev.)
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgsAAAFkCAYAAACuFXjcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>If we want to enforce all the parameters are positive, we can supply a <code>bounds</code> parameter to the <code>scipy.optimize.curve_fit</code> function. We use <code>numpy.inf</code> for $\infty$.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[9]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Set the bounds on all the parameters to be 0 and infinity.</span>
<span class="n">optimal_parameters</span><span class="p">,</span> <span class="n">covariance</span> <span class="o">=</span> <span class="n">scipy</span><span class="o">.</span><span class="n">optimize</span><span class="o">.</span><span class="n">curve_fit</span><span class="p">(</span><span class="n">complicated_function</span><span class="p">,</span>
                                                          <span class="n">x_data</span><span class="p">,</span>
                                                          <span class="n">y_data</span><span class="p">,</span>
                                                         <span class="n">bounds</span> <span class="o">=</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">inf</span><span class="p">))</span> <span class="c1"># BOUNDS!</span>
<span class="n">report</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">,</span> <span class="n">covariance</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>Parameter 0: 17.359271720511902 +/- 5.330282859969696 (1 st. dev.)
Parameter 1: 1.4665348259706784e-12 +/- 1.4850930804107172 (1 st. dev.)
Parameter 2: 17.431460197693347 +/- 4.128599930877349 (1 st. dev.)
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgsAAAFkCAYAAACuFXjcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>We notice the uncertainty on parameter 2 is bigger than parameter 2, i.e. it's possible, given the data, that it is zero. This suggests we can simplify our model and still fit the given data.</p>
<p>One option would just be to enforce the $b$ parameter to be zero (or very close to zero) by specifying different bounds for each parameter:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[10]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Set the lower and upper bounds on each parameter separately</span>
<span class="n">bounds</span> <span class="o">=</span> <span class="p">([</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">inf</span><span class="p">,</span> <span class="mi">1</span><span class="n">e</span><span class="o">-</span><span class="mi">6</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">inf</span><span class="p">])</span>
<span class="n">optimal_parameters</span><span class="p">,</span> <span class="n">covariance</span> <span class="o">=</span> <span class="n">scipy</span><span class="o">.</span><span class="n">optimize</span><span class="o">.</span><span class="n">curve_fit</span><span class="p">(</span><span class="n">complicated_function</span><span class="p">,</span>
                                                          <span class="n">x_data</span><span class="p">,</span>
                                                          <span class="n">y_data</span><span class="p">,</span>
                                                         <span class="n">bounds</span> <span class="o">=</span> <span class="n">bounds</span><span class="p">)</span>
<span class="n">report</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">,</span> <span class="n">covariance</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>Parameter 0: 17.359272571968077 +/- 5.330281047066896 (1 st. dev.)
Parameter 1: 8.646730701253612e-18 +/- 1.485092432969185 (1 st. dev.)
Parameter 2: 17.43146120306751 +/- 4.128598964414251 (1 st. dev.)
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgsAAAFkCAYAAACuFXjcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>But notice it assigns a big uncertainty to $b$ even though we know (or are assuming) that it is zero. This then changes the uncertainty in $a$ and $c$. It is better to define a new function with only 2 parameters and fit that:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[11]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">simplified_function</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
    <span class="s2">&quot;A slightly simplified function with only 2 parameters: a and c&quot;</span>
    <span class="k">return</span> <span class="n">a</span><span class="o">*</span><span class="n">x</span><span class="o">*</span><span class="n">x</span> <span class="o">/</span> <span class="p">(</span><span class="mi">1</span> <span class="o">+</span> <span class="n">c</span><span class="o">*</span><span class="n">x</span><span class="o">*</span><span class="n">x</span><span class="p">)</span>
<span class="n">optimal_parameters</span><span class="p">,</span> <span class="n">covariance</span> <span class="o">=</span> <span class="n">scipy</span><span class="o">.</span><span class="n">optimize</span><span class="o">.</span><span class="n">curve_fit</span><span class="p">(</span><span class="n">simplified_function</span><span class="p">,</span>
                                                          <span class="n">x_data</span><span class="p">,</span>
                                                          <span class="n">y_data</span><span class="p">)</span>
<span class="c1"># Can&#39;t reuse the &#39;report&#39; function exactly, so do modify slightly</span>
<span class="n">parameter_errors</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">diag</span><span class="p">(</span><span class="n">covariance</span><span class="p">))</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">optimal_parameters</span><span class="p">)):</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Parameter </span><span class="si">{}</span><span class="s2">: </span><span class="si">{}</span><span class="s2"> +/- </span><span class="si">{}</span><span class="s2"> (1 st. dev.)&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">i</span><span class="p">,</span>
                                                        <span class="n">optimal_parameters</span><span class="p">[</span><span class="n">i</span><span class="p">],</span>
                                                        <span class="n">parameter_errors</span><span class="p">[</span><span class="n">i</span><span class="p">]))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_data</span><span class="p">,</span> <span class="n">y_data</span><span class="p">,</span> <span class="s1">&#39;o&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;data&#39;</span><span class="p">)</span>
<span class="n">x_many_points</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="n">x_data</span><span class="o">.</span><span class="n">min</span><span class="p">(),</span><span class="n">x_data</span><span class="o">.</span><span class="n">max</span><span class="p">(),</span><span class="mi">50</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_many_points</span><span class="p">,</span> <span class="n">simplified_function</span><span class="p">(</span><span class="n">x_many_points</span><span class="p">,</span> <span class="o">*</span><span class="n">optimal_parameters</span><span class="p">),</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;fitted&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_many_points</span><span class="p">,</span> <span class="n">complicated_function</span><span class="p">(</span><span class="n">x_many_points</span><span class="p">,</span><span class="mi">20</span><span class="p">,</span><span class="mf">0.5</span><span class="p">,</span><span class="mi">20</span><span class="p">),</span> <span class="s1">&#39;:&#39;</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;original&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;best&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>Parameter 0: 17.359262591148862 +/- 1.6593475627099468 (1 st. dev.)
Parameter 1: 17.43144940645422 +/- 1.9406996647118597 (1 st. dev.)
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgsAAAFkCAYAAACuFXjcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>The current data are not sufficient to tell the two-parameter model and three-paramaeter models apart.</p>
<p>Note that the function $f(x)$ could be a function of several variables, i.e. $x$ could be a vector, and <code>x_data</code> would be a 2-dimensional array.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span> 
</pre></div>

</div>
</div>
</div>

</div>
    </div>
  </div>
</body>
</html>