From 52ab1dfdc9d69369e3e642a94f2101df4649fb1d Mon Sep 17 00:00:00 2001 From: rusty Date: Sun, 23 Jun 2024 23:18:40 +0900 Subject: [PATCH 1/5] =?UTF-8?q?=E5=85=A5=E5=87=BA=E5=8A=9B=E3=81=AE?= =?UTF-8?q?=E7=94=9F=E6=88=90?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../problems/2layer-neural-network/in/01.in | 8 + .../problems/2layer-neural-network/in/02.in | 11 + .../problems/2layer-neural-network/in/03.in | 46 ++++ .../problems/2layer-neural-network/in/04.in | 204 ++++++++++++++++++ .../problems/2layer-neural-network/out/01.out | 1 + .../problems/2layer-neural-network/out/02.out | 1 + .../problems/2layer-neural-network/out/03.out | 1 + .../problems/2layer-neural-network/out/04.out | 1 + 8 files changed, 273 insertions(+) create mode 100644 backend/static/problems/2layer-neural-network/in/01.in create mode 100644 backend/static/problems/2layer-neural-network/in/02.in create mode 100644 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--- /dev/null +++ b/backend/static/problems/2layer-neural-network/out/04.out @@ -0,0 +1 @@ +-14490044 8608622 11169379 -25109616 -4328230 9272827 4093496 -17004788 3340043 -4147692 2132018 -13401408 12307879 690404 -22594747 12499401 -3589776 15075203 -156051 -9093965 -15936259 9523449 -11730516 14378104 13492660 1276528 1776817 4233890 -1603646 10194586 20669889 -18574044 13463875 -16199008 -7919511 -20768651 -12405474 11391646 -16176926 9972474 -6126279 -3250711 -5204505 4101266 -9452758 5213176 -37944689 -3969781 -20410571 2978415 11011349 24797124 8288613 2544459 -1543729 -7301952 -3206331 -12198877 17880833 -5421601 13691709 -9304781 11771111 18037284 -6285696 -2788957 -22111937 -27850857 2583754 21509694 12841740 -1416551 997395 21572284 12560842 -655874 -926307 13991557 -18837497 -3764958 -7580529 14328058 11918144 -6420654 2731610 -7115401 6062546 -21834608 4410527 12287243 -6835039 -5271726 -8200851 13241607 -38493417 1067218 -12236169 -14865514 4863973 -14738364 From 45c05b7e595c0241ae6fb0292ec2f844b56f9ab5 Mon Sep 17 00:00:00 2001 From: rusty Date: Sun, 23 Jun 2024 23:18:50 +0900 Subject: [PATCH 2/5] solution --- .../problems/2layer-neural-network/solution.py | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 backend/static/problems/2layer-neural-network/solution.py diff --git a/backend/static/problems/2layer-neural-network/solution.py b/backend/static/problems/2layer-neural-network/solution.py new file mode 100644 index 0000000..fbd082a --- /dev/null +++ b/backend/static/problems/2layer-neural-network/solution.py @@ -0,0 +1,15 @@ +# Solution +import numpy as np + +# 入力の受け取り +n, m, k = map(int, input().split()) +x = np.array(list(map(int, input().split()))) +w1 = np.array([list(map(int, input().split())) for _ in range(m)]) +b1 = np.array(list(map(int, input().split()))) +w2 = np.array([list(map(int, input().split())) for _ in range(k)]) +b2 = np.array(list(map(int, input().split()))) + +u1 = np.dot(w1, x) + b1 +z1 = np.maximum(u1, 0) +y = np.dot(w2, z1) + b2 +print(*y) From 46424d36200386603566638386e8967120ea1f77 Mon Sep 17 00:00:00 2001 From: rusty Date: Sun, 23 Jun 2024 23:19:06 +0900 Subject: [PATCH 3/5] =?UTF-8?q?=E5=88=B6=E7=B4=84=E3=81=AE=E8=A8=AD?= =?UTF-8?q?=E5=AE=9A?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../problems/2layer-neural-network/problem.yaml | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100644 backend/static/problems/2layer-neural-network/problem.yaml diff --git a/backend/static/problems/2layer-neural-network/problem.yaml b/backend/static/problems/2layer-neural-network/problem.yaml new file mode 100644 index 0000000..26d6300 --- /dev/null +++ b/backend/static/problems/2layer-neural-network/problem.yaml @@ -0,0 +1,17 @@ +# 概要 +summary: + title: 2layer-neural-network + points: 100 + +# 制約 +constraints: + # 実行時間制限 (ミリ秒) + time: 2000 + # メモリ制限 (MB) + memory: 256 + # 誤差ジャッジをするか？ + error_judge: false + # 許容絶対誤差 + absolute_error: 1e-2 + # 許容相対誤差 + relative_error: 1e-2 From 86dd1ce74b4571212fb86004065694631603657a Mon Sep 17 00:00:00 2001 From: rusty Date: Sun, 23 Jun 2024 23:19:13 +0900 Subject: [PATCH 4/5] =?UTF-8?q?=E5=95=8F=E9=A1=8C=E6=96=87?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../2layer-neural-network/description.md | 84 +++++++++++++++++++ 1 file changed, 84 insertions(+) create mode 100644 backend/static/problems/2layer-neural-network/description.md diff --git a/backend/static/problems/2layer-neural-network/description.md b/backend/static/problems/2layer-neural-network/description.md new file mode 100644 index 0000000..7adf4b8 --- /dev/null +++ b/backend/static/problems/2layer-neural-network/description.md @@ -0,0 +1,84 @@ +入力層、1層の中間層、出力層からなる2層のニューラルネットワークをnumpyを用いて実装してみましょう。 + +ニューラルネットワークへの入力 $\bold{x} \in \R^n$ ,第1層の重みパラメータ $\bold{W}^{(1)} \in \R^{m \times n}$ 、第1層のバイアスパラメータ $\bold{b}_1 \in \R^m$, 第2層の重みパラメータ $\bold{W}^{(2)} \in \R^{k \times m}$, 第2層のバイアスパラメータ $\bold{b}_2 \in \R^k$ が与えられます。 + +中間層の活性化関数はReLU関数、出力層の活性化関数は恒等関数とします。 + +このニューラルネットワークの出力 $\bold{y} \in \R^k$ を計算してください。 + +## 制約 +- $1 \leq n, m, k \leq 100$ +- $-100 \leq \bold{x}_i, \bold{W}_{i,j}^{(1)},\bold{W}_{i,j}^{(2)}, \bold{b}_i^{(1)}, \bold{b}_i^{(2)} \leq 100$ +- 入力は全て整数 + +## 入力 +$ +n \ m \ k \\ +\bold{x}_1 \ \bold{x}_2 \ \ldots \ \bold{x}_n \\ +\bold{W}_{11}^{(1)} \ \bold{W}_{12}^{(1)} \ \ldots \ \bold{W}_{1n}^{(1)} \\ +\bold{W}_{21}^{(1)} \ \bold{W}_{22}^{(1)} \ \ldots \ \bold{W}_{2n}^{(1)} \\ +\vdots \\ +\bold{W}_{m1}^{(1)} \ \bold{W}_{m2}^{(1)} \ \ldots \ \bold{W}_{mn}^{(1)} \\ +\bold{b}_1^{(1)} \ \bold{b}_2^{(1)} \ \ldots \ \bold{b}_m^{(1)} \\ +\bold{W}_{11}^{(2)} \ \bold{W}_{12}^{(2)} \ \ldots \ \bold{W}_{1m}^{(2)} \\ +\bold{W}_{21}^{(2)} \ \bold{W}_{22}^{(2)} \ \ldots \ \bold{W}_{2m}^{(2)} \\ +\vdots \\ +\bold{W}_{k1}^{(2)} \ \bold{W}_{k2}^{(2)} \ \ldots \ \bold{W}_{km}^{(2)} \\ +\bold{b}_1^{(2)} \ \bold{b}_2^{(2)} \ \ldots \ \bold{b}_k^{(2)} \\ +$ + +したがって以下のようなコードで入力を受け取ることができます。 + +```python3 +n, m, k = map(int, input().split()) +x = np.array(list(map(int, input().split()))) +W1 = np.array([list(map(int, input().split())) for _ in range(m)]) +b1 = np.array(list(map(int, input().split()))) +W2 = np.array([list(map(int, input().split())) for _ in range(k)]) +b2 = np.array(list(map(int, input().split())) +``` +## 出力 +出力 $\bold{y} \in \R^k$ の要素を空白区切りで出力してください。 + +## サンプル + +### サンプル1 + +#### 入力 +```plaintext +3 2 2 +2 -4 3 +4 -4 2 +3 -2 0 +-4 -1 +-2 2 +3 -5 +2 -4 +``` + +#### 出力 +```plaintext +-24 9 +``` + +### サンプル2 + +#### 入力 +```plaintext +10 5 2 +79 -23 -9 -25 10 49 13 -41 26 58 +-63 -83 -92 -95 4 -4 54 -48 15 55 +86 53 -24 80 -70 76 35 -51 -48 40 +98 89 -8 -48 -11 -1 -69 88 -96 -58 +-18 -93 -61 -56 70 -56 -16 65 -70 29 +-95 -44 -20 -68 -41 52 -16 29 32 -9 +12 74 62 -97 -42 +2 -24 40 58 25 +-31 57 56 -24 40 +-49 -83 +``` + +#### 出力 +```plaintext +-239735 405345 +``` \ No newline at end of file From 456c640a4d20504c5fa7ef50586973fbb13eafd6 Mon Sep 17 00:00:00 2001 From: rusty Date: Sun, 23 Jun 2024 23:24:01 +0900 Subject: [PATCH 5/5] =?UTF-8?q?=E5=85=A5=E5=8A=9B=E3=82=92=E5=BE=AE?= =?UTF-8?q?=E4=BF=AE=E6=AD=A3?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- backend/static/problems/2layer-neural-network/description.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/backend/static/problems/2layer-neural-network/description.md b/backend/static/problems/2layer-neural-network/description.md index 7adf4b8..249007e 100644 --- a/backend/static/problems/2layer-neural-network/description.md +++ b/backend/static/problems/2layer-neural-network/description.md @@ -12,6 +12,8 @@ - 入力は全て整数 ## 入力 +入力は以下の形式で標準入力から与えられます。 + $ n \ m \ k \\ \bold{x}_1 \ \bold{x}_2 \ \ldots \ \bold{x}_n \\