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@nozma
Last active September 27, 2018 03:14
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5.3.2.4 不確実性を考慮に入れる
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "5.3.2.4 不確実性を考慮に入れる",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"[View in Colaboratory](https://colab.research.google.com/gist/nozma/400e286421fd0c90d29db09eee845d2f/5-3-2-4.ipynb)"
]
},
{
"metadata": {
"id": "WT9jU-evybfp",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### いろいろな準備"
]
},
{
"metadata": {
"id": "OFkcizhxUMRV",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"!pip -q install mglearn"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "L_8By73UyXdi",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- [Colaboratoryでmatplotlibの日本語表示 - Qiita](https://qiita.com/unvavo/items/a907cb927bdadc1d8d0c)"
]
},
{
"metadata": {
"id": "amodhkInxfJT",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 119
},
"outputId": "69955e7f-c0fc-4282-8be9-59b4516581b4"
},
"cell_type": "code",
"source": [
"!apt-get -y install fonts-ipafont-gothic\n",
"!rm /root/.cache/matplotlib/fontList.json"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Reading package lists... Done\n",
"Building dependency tree \n",
"Reading state information... Done\n",
"fonts-ipafont-gothic is already the newest version (00303-17ubuntu1).\n",
"0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.\n",
"rm: cannot remove '/root/.cache/matplotlib/fontList.json': No such file or directory\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "t8fRfU5GZctM",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('default')\n",
"plt.rcParams['font.family'] = 'IPAPGothic'\n",
"import numpy as np"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "6qLquvfSTixT",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"----\n",
"\n",
"ここから本題です。\n",
"\n",
"#### 5.3.2.4 不確実性を考慮に入れる\n",
"\n",
"- 特定のクラスを予測してしまう→モデルに含まれる情報が失われる\n",
"- 大抵のクラス分類器は`decision_function`または`predict_proba`メソッドを持っている。\n",
" - クラスの予測に関する**曖昧さ**を評価できる指標。\n",
"- 2クラス分類の予測はこんな感じで行う。\n",
" 1. `decision_function`や`predict_proba`の出力を計算\n",
" 2. 出力がある**しきい値**を上回っていれば陽性とする\n",
" - ここでメッチャ情報が減る(数字が2値のどちらかになってしまう)\n",
" - `decision_function`は0、`predict_proba`は0.5がデフォルトのしきい値\n",
"\n",
"- しきい値次第で混同行列の様子が変わったりする。\n",
"- 特にクラスに偏りがあるデータで顕著になりやすい。\n",
"\n",
"\n",
"というわけで、クラスに偏りのあるデータを例として分析をしてみる。"
]
},
{
"metadata": {
"id": "_KEiYRjGTTDw",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"from mglearn.datasets import make_blobs\n",
"from sklearn.model_selection import train_test_split\n",
"X, y = make_blobs(\n",
" n_samples=(400, 50), \n",
" centers=2,\n",
" cluster_std=[7.0, 2],\n",
" random_state=22\n",
")"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "4Rwr8i40wqO8",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 467
},
"outputId": "1520420d-2518-4b3b-cb2d-99cefbd618b0"
},
"cell_type": "code",
"source": [
"cmap = plt.get_cmap('tab10') # Tablauのカラーマップ(本来はデフォルト) cf. https://qiita.com/skotaro/items/5c9893d186ccd31f459d\n",
"\n",
"# Figure のインスタンス生成\n",
"fig = plt.figure()\n",
"# Axesのインスタンス生成\n",
"ax = fig.add_subplot(111) \n",
"# 散布図をプロット\n",
"ax.scatter(X[:, 0], X[:, 1], c=cmap(y), alpha=.5)\n",
"# タイトル設定\n",
"ax.set_title(\"訓練データ\")"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5,1,'訓練データ')"
]
},
"metadata": {
"tags": []
},
"execution_count": 92
},
{
"output_type": "display_data",
"data": {
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552Z7OEIIIYRY5GZ9ZuW73/3ulO8dOnRoYonnlVdeoa6ujuuvv37iuNPpZPv27Tz//PPc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\n/zfnFx4AWScX10naZfTQpqNniCDRsjqcLpuURxRyui+qHUu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U+N1HxjiyLctCtcOPL61R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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff7582e6908>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "5imWy-wrDe9s",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- このデータに対して、カネール法を用いたSVMで訓練を行う。\n",
"- 訓練後に訓練結果からクラスを予測する。このときのしきい値を変化させて、結果にどう影響するのかを観察する。\n",
"\n",
"まずしきい値0(決定関数のデフォルト)を確認。"
]
},
{
"metadata": {
"id": "WPavWwl9D17U",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"outputId": "ecc7e71b-1f28-42d4-f94e-92978430d074"
},
"cell_type": "code",
"source": [
"# SVMで訓練\n",
"from sklearn.svm import SVC\n",
"from sklearn.model_selection import train_test_split\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, random_state = 0)\n",
"svc = SVC(gamma=.05).fit(X_train, y_train)\n",
"\n",
"## 結果を可視化する ------------------------------\n",
"# 散布図部分\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111)\n",
"ax.scatter(X[:, 0], X[:, 1], c=cmap(y), alpha=.5)\n",
"# 決定境界\n",
"xx, yy = np.meshgrid(\n",
" np.linspace(np.min(X[:, 0]), np.max(X[:, 0]), 100),\n",
" np.linspace(np.min(X[:, 1]), np.max(X[:, 1]), 100)\n",
")\n",
"# しきい値0でクラス分類する\n",
"z = svc.decision_function(np.c_[xx.ravel(), yy.ravel()]) # np.c_は縦に配列を結合する np.ravelは高速なflatten\n",
"z = z.reshape(xx.shape)\n",
"# 描画\n",
"ax.contourf(xx, yy, z, alpha = .1)\n",
"ax.contour(xx, yy, z, colors=\"black\", levels=0, linewidths=3, linestyles='solid')\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.contour.QuadContourSet at 0x7ff75815e668>"
]
},
"metadata": {
"tags": []
},
"execution_count": 93
},
{
"output_type": "display_data",
"data": {
"image/png": 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MAHPhJTj3AnijEOia7hFEJQ3nfg6uIKx64BZGXufWFN6yOsabVkYpGxYOWbqp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\n4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eEqpXUUOS4d305WHD+gaQdUOi4DaWNTrAwbpoPLLd6/3mClFetfRnMWL07lOToa98E1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\nWpf5irHvsVNliW8+O8Ffn19loWagyfFqc9eNnX+/8tQoRx/QzO6piQzHx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6oAACAASURB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\nhBBCCFHX/n++BMs+zKFO2gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff75819ec50>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "1_cwUM5zz4sT",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"結構取り逃しがあるように見える。\n",
"\n",
"データの「断面」で分類がどうなっているか確認してみる。"
]
},
{
"metadata": {
"id": "RyMkahXS02q_",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 467
},
"outputId": "0d951997-4ad0-4bd3-ae15-f18a8efbba00"
},
"cell_type": "code",
"source": [
"# 特徴量2の値が7±5の範囲のデータを抽出している\n",
"mask = np.abs(X_train[:, 1] - 7) < 5\n",
"bla = np.sum(mask)\n",
"\n",
"line = np.linspace(np.min(X_train), np.max(X_train), 100)\n",
"ax = plt.figure().add_subplot(111)\n",
"\n",
"ax.set_title(\"しきい値0での断面図\")\n",
"ax.plot(line, svc.decision_function(np.c_[line, 10 * np.ones(100)]), c='k')\n",
"\n",
"dec = svc.decision_function(np.c_[line, 10 * np.ones(100)])\n",
"contour = (dec > 0).reshape(1, -1).repeat(10, axis=0)\n",
"ax.contourf(line, np.linspace(-1.5, 1.5, 10), contour, alpha=.1)\n",
"ax.scatter(X_train[mask, 0], np.random.rand(bla)-.5, c=cmap(y_train[mask]), alpha = .4)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7ff7580c8940>"
]
},
"metadata": {
"tags": []
},
"execution_count": 94
},
{
"output_type": "display_data",
"data": {
"image/png": 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E6+lLci72d+nRM3Ge9HsR4uOT8CKEGNGi0Sjr128Gzs3+Lj165nuREUdCfHwS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0k+ey66PR/8RwA44DFxyGemKteAMTMfJRyAaBiDFqRSb6G9O8Bu41T0KcuSeqVRr9mz4qNZW7Ye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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff7581305c0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "7m4dcukKAM-p",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"混同行列を作成する。"
]
},
{
"metadata": {
"id": "r5nbeZFRAMmS",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 136
},
"outputId": "570369da-b03e-42a8-897e-2e700f99457a"
},
"cell_type": "code",
"source": [
"from sklearn.metrics import classification_report\n",
"print(classification_report(y_test, svc.predict(X_test)))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
" precision recall f1-score support\n",
"\n",
" 0 0.97 0.89 0.93 104\n",
" 1 0.35 0.67 0.46 9\n",
"\n",
"avg / total 0.92 0.88 0.89 113\n",
"\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "6RG-CHk5CUel",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- 適合率(precision)も再現率(recall)もイマイチ\n",
"- 適合率とか再現率とかなんだっけ\n",
" - 適合率: Aと予測したもののうち実際どれだけAだったか\n",
" - 再現率: AのうちどれだけがAと予測されたか\n",
"- **空振り**(予測したが外れた)はそれほど問題が無いが、**見逃し**はマズイという場合がある(ガンの検査とか)\n",
"- クラス分類の基準を緩める = しきい値を下げれば、見逃しを避けられるはず。\n",
"\n",
"というわけでしきい値を**-0.8**に引き下げて検証してみる。"
]
},
{
"metadata": {
"id": "rWD9_vYhRNQs",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"outputId": "bb65b89d-9091-41ca-bae2-8baf9a1468ab"
},
"cell_type": "code",
"source": [
"ax = plt.figure().add_subplot(111)\n",
"ax.scatter(X[:, 0], X[:, 1], c=cmap(y), alpha=.5)\n",
"ax.contourf(xx, yy, z, alpha=.1)\n",
"ax.contour(xx, yy, z, colors='black', levels=-0.8, linewidths=3, linestyles='solid')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.contour.QuadContourSet at 0x7ff7580a6e80>"
]
},
"metadata": {
"tags": []
},
"execution_count": 96
},
{
"output_type": "display_data",
"data": {
"image/png": 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2TzzxK77ylS/x05/++Ioe1+f309nZRdeKFXR2ddHU1HyupyJEIBjE5/Ohqiqy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\nQcuY1wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff7581895f8>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Ekc3MSm1pesN",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 467
},
"outputId": "6f0b1616-cc10-4aa5-80e9-c4169666c716"
},
"cell_type": "code",
"source": [
"line = np.linspace(np.min(X_train), np.max(X_train), 100)\n",
"ax = plt.figure().add_subplot(111)\n",
"\n",
"ax.set_title(\"しきい値0での断面図\")\n",
"ax.plot(line, svc.decision_function(np.c_[line, 10 * np.ones(100)]), c='k')\n",
"\n",
"dec = svc.decision_function(np.c_[line, 10 * np.ones(100)])\n",
"contour = (dec > -0.8).reshape(1, -1).repeat(10, axis=0)\n",
"ax.contourf(line, np.linspace(-1.5, 1.5, 10), contour, alpha=.1)\n",
"ax.scatter(X_train[mask, 0], np.random.rand(bla)-.5, c=cmap(y_train[mask]), alpha = .4)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7ff758019f60>"
]
},
"metadata": {
"tags": []
},
"execution_count": 97
},
{
"output_type": "display_data",
"data": {
"image/png": 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6F86TcS9CnDoJL0KIlBYOh9m06QPgzBzv0q17vReZcSTEqTOMdgWEEGJQgm6I\nBMFoBUta8vAHW3cQDAbJycliypTKUazgwLpbhbZv34XL5SY93Xla7huNKQ53hGjzRABwOm3k2IwY\nGJ7uNaUU/kgMpcBm0qM7A7vtxNgzYuHl6aef5sEHH6Srq4uioiIefvhhFizoe5fX5cuXs2HDBqxW\na/LY+PHjeffdd0eqeiKFeEJRojGFzaTHbJDGwrOO5wha3YfQWo0WDaEMZsifhCqZA44c3l1/bEuA\nM3G8S7fi4kImTiznwIFDbNy4hSuuuHTE79nqibBmTyeH20PE4goFaHoPxRk+llTkkmU6+Y8ApRQH\nO/zsbvbS5A6igDy7mWkFDipz7RJixIgakfCyYsUK7rnnHt566y2mTp3KypUr+cxnPsO2bdsYP358\nr/Pr6+tZsWIFV1555UhUR6SoRleQj5o8HO70E40nwss5eQ5mFDqxmfSjXb1Bi8UV7lAUAKfZgF7X\n95t6IBIjGldYjXoM/Zxz1nE3o+18Bc3TjHLkoSxOiPjRat6HznrUjOXJMSSLFl40ypX9ZAsXXsSB\nA4dYt27TiIcXXyjGazs7qO0IMS7LjNmYCP7usEb1ER/xqGL5OQVYTrL8bQ0u3q3pJBZXZNqMaGjU\ndgU41OXnIn8mF5ZlnNFhUqS2EQkv999/P3fddRdTp04F4Etf+hK/+93veOyxx/jFL37R6/yGhgZK\nS0tHoioiRR3q8PP6vjbcoQg5NhN2kw5vOMrbBzpocIe4ckouVuOZHWDiSrG3xcvOZg9tvjAAOXYT\n0/PTmJrvSP5l2ugKsqvZw6HOALG4wmkxMK0gjXPyHJhStKVJKXXqH1xKodW8h+ZpQeVWgnb0tTBa\nUNYMtNZqolUb2LBhMzDweBd3IMrBthD+cAyzQUd5tplsh/HU6ncSPrXwQp5++rnTMmi3qiVIbUeI\n8bmWHmHYYtQzLtvA4fYAhzv8TM60DbnsVm+ITbVdWI16cuym5HGnxYArEGFrfRelmVZK0k82Ggkx\nsGEPL3V1dVRXV3P11Vf3OH711VfzyCOP9Aov4XCY1tZWxo0b/NoMoVCIUCiU/Nrtdp9apcUZJRKL\ns+FQJ/5IjInZ9uRxm0lPptVIVZuXcc0W5pZmjGItB6aUYtPhTjYe7sKo18i0Jj4oj3hC1HcF6QxE\nWFCeSU1HgDX7W/GEomTZTJgNOjoDEdbsa6XJHeTTlTkY9akRYJRSHGoPsafRT11nGL0OJudbmVpo\nIzfthKAQ6ELrqIVoCGV2QHZ5YizL8bytaO2HaLcWU91uo85nQK/BOHuUSmeYtLR8dmzZhMfjJT3d\nyYwZU/us17Y6Lxuq3HT4o2jML+ECAAAgAElEQVSAAtIses4b52DBRCcG/elrHVh0dNDu1q3b8fn8\n2O1DDw6DVd0SwGTQ+mzFM+p1aBrUdwVOKrzUdPjxhGJU5vQOJ+lWI23+MFWtXgkvYsQMe3hpaGgA\noKioqMfx4uLi5HPHa2xsxGKx8Pjjj/Pss8/icrm46KKLeOCBB/oNNA888AD333//cFddnCHqXUGa\nPaE+3/iMeh1pZiN7jniZWeQ8Yz/Ym9whPqh3k2U1km499sFtNxlwBSNsa3BR6LSwvqaDUDTeI6Sl\nmQ0EIjF2NXspzbAyvSCtr1ucUZRSvH/Iw7tVbkJRhdOiJ64Ub+9z8VGDj6umZzEh1wLxGNqhTVD3\nIVrQBYCGhnLkoCYugoLjAkjYx36Xntf9RbSHDFj0iTEbH3VYKLBGuapIsX77QSCx+aFe37slbm+z\nn7V7ujDpNSryLOg0DaUUoa4WGj/YTO0hHxMLHJA9AZU7EUz2XmUMp7KyEkpLi6ira2TTpq1ceumi\nEbtXJK767aIE0Gsa4ag6qbI7/BHMA/zuWY162v2RkypbiMEY9nd+ozHxRq3T9SxaO/qmcSKXy0Vu\nbi6FhYW899577Ny5k5ycHC655BJ8Pl+f97jnnntwuVzJR11d3XB/G2IUeUMx4kr1G0zsJj2+cJRg\nJH6aazZ4B9v9BCKxHsGlW7rFSDAS5/3aTlq9IQqdvUOa1ajHbNDYc8RDvI/fm+ESisZp9YZo94WJ\nxU/+PrUdQd6tcmMz6ajIs5DnNFKQbqIy34I3FOONj7vwhWJotVvQqt8GTYfKmYjKrURll0PIi/bx\namg/mCyzPWTg9Y5C/OE4k5xhyhwRyh0RKpxhWoJ6VtdbeHtXM9B3l1E8rthW6yMeVxSkm5LddDnu\nvZzftorp3k24G6uJNn6MtutltG0rwXPkpF+DwdA0jQULLgDg/fc/GNF7FTqNBMJ9/44opQhF4+TY\nT67rzGzQEY33//sXjSksKdrlKVLDsP90lZSUAIkWleM1NjZSXFzc6/yZM2dy+PBhvvrVr2K1WrHb\n7Tz00EM0Nzf3O9vIbDbjdDp7PMTYYTrajB/v58M0Eotj0OtOa3P/UHUEIliM/f96WYx62rxhoO9m\nfQCHyUBXIEokNvzhJRyNs6Wui+e2NfDH7Y08t62RF3Y2sbfF2+cfGZ9kf5OPUFT1GkeiaRqlmWaO\nuMPUNHZA/XaUOQ0cOcfGsOgMkFGCFgmi1W+Ho/ff16WnI2Sk1PcxWlcteNsgGkKnwfi0CI1dETbu\nTYSNBfPP71WnDn+U5k4fk7Q6ilo3UdTyHsVH1jOu+W9oxAlkVdKk5dNpLUVlT0TrqkfbuwZi4SF/\n/0Mxd+4sALZu3TGi95mUb8Nu1tPq6d0C0uIJk24zMiHn5FqayjJtaJpGKNo7wERjcSLxnq2JQgy3\nYe82ys/PZ+bMmbz22mt897vfTR5//fXXueKKK/q8Jh6P92ipUUoRj8dlpPpZqjjdQobVSLs/Qq7D\n1OM5pRQd/gjzStNP+4BdbyhKnStIJBrHZtJTmmHtd+q2zagnPEDoCMfiOC0Ggv5Iv4NbI7E4JoNu\nwKb/kxGJxXmzuo2dzR7STAaybSbiCprdIRpdrfjCUeaUDG08UUNXiDRL36+FXqeBBv6WOjR/Oyqr\n94xDAOXIgc5aCHRB2M/hj7Zgi7vRYgHw+tF0epTfCo5c9Erh9URo73RjMBiYNXt67/K8bcw48heK\n400YdYl/C4e/AVPES2PuRei1RE5SSoFOj8oqQ+usR7UfgrxJQ/r+hyIZXrZsG56Bzf0oyjCxsNLJ\n2/tcHGgJkm7ToxS0+cOY9CY+VZlNlt0EJ9GCWZphoTLHzp4WD4VpFtLMiY8SXzhGkzvI+Cwr5VnW\nTyhFiJM3Iu16d999Nz/72c/Yv38/AC+99BJr1qzh5ptv7nXue++9x+TJk9myZQsAwWCQW2+9lZKS\nEhYvXjwS1RNnOIfZwOwiJ95wlBZvKNmdEYzEqOkMJGbsnMZxIHGl+KC+i+e2N7JqzxFe39/KS7uO\n8Pz2Rqrb+u7aLM+yokGff5l2H5td5MRh1uMKRnudo5TCFYwyKdc+7NOmD7T72dPspdhpIT/NjMmg\nIxSLY9TriMTibDzcRecQxysYdBqxgT4DFRi1eCIt6PoJnXojWjyW7ELSgh5IK4ScCrBmgs6QONZx\nGAxmGjoCAEybNqXHGlEARENk1rxBYaSeFkMBLsd4XI7xKM2ApuJkufcSCfowG3VYu6fd600Qj6J5\nW4f0vff+XuOJxfTisT6fnjV7Onq9nubmFhoamk7tXp9gXnkaX5yTw8xSOxoaep3GeWVpLJ9VwDmF\nJ/87ZNTruKQim5mFTjyhKAfafRxo89EVCDMlz8Hlk8/82YAitY3IVOl/+Id/wO12s2zZMrxeL8XF\nxaxatYqJEydSX1/PhRdeyMMPP8yXvvQl5s+fz7333stNN91ES0sLwWCQhQsXsmbNGsxm80hUT6SA\n80rS0WmwrdHN4U4/CjDqdJRlWFhQnkWu4/T9bOxodPPOgQ7sJj3jM23odBrRWJxmT4i1+1sx6XWM\ny+z54VmWaaUyx87HR7zkpZlwHv3L1BOKcsQbYmpeGjOLnPgiMd6v7UIpyLAakk3xDe4guQ4TU/Mc\nw/797GvxotMlxtV0+MMcbPfTFYwSVyoRuGJxxmVYWD6tYNBlVubbWPexn7hSvRYnC0bi6HUaWTnZ\n4LFAyAfmProUgm6U2YHmaUFzN1GWN539zXqU3YlmdqDC/kQgCHQRSyui/tBWAObNS7RkdPiitHkT\noasweIB0Ty3Wwgl4W6KYYwqjXkNpGiGjE2PYA54WcgsmkGYZpg/ZsA+t+WNo3AlhHxgsUDgNVTgN\nLMe6tm02G9OmTeGjj3azdet2SkqKBij01I3PsTA+x0L0aEtgWGcmGDJB39lq0BxmA1dOyaPFG6LF\nm+hqy7YZKUgzS6u5GHEjtsLuTTfdxE033dTreElJCfX19T2OXXfddVx33XUjVRWRgnSaxnklGUzJ\nS6PRHSQSVzhMeoqclmHvRhlIIBJje6Mbi1HfIzAZ9DpKMqwcbPezo9FNaYalxxu2Ua/j05U5WI06\nqtt8yXVe7CY95xWnM788E6Nex/yyTHRo7D7i4UC7H00Dg05HabqFRROyyLKZetXpVHUFo9iMBjoD\nEXY1ewlFYzgtBox6HdG4or4zwIZDnUzNS6Myd4BxC/EYRGOgN1BZYGdvvYtDbYkF0brHIwUjcQ63\nh5hSYKV4XDbKVYbWsg+VPaFnC0w0hObvQk3+NPg7QNMxOSPKh50x6nwGSuxRdOZEkIvFFYfafLQf\n2gvAubPPZfWuTvY2+/EEj7ZqBT5mVjREYbkddyhAoyuMUa9h0TLICNcRUHoKzC7y844LndEw6Ayo\ntLyhv6ghL9ruVWgtVYmp30ZrIszsWwutVajpy8CWlTx97tyZyfDyuc9dNfT7nYTuf5PwMA+hynOY\nyTuNf0wIAbK3kTjD2Ux6Kk5yUOFwaPYkZuKU9bMWRq7DRJ0rgCsYJeOEmUU2k57LJuUypySdVu+x\nReqyj1vUy6jXsXBCFjMK02hyh4geXaSuON0yYqvs2k16ugJhOtxRgpEYOceNKzLoNOzmxK43W+u7\nGJ9t61UPLdCOoXUn+q6PiRNBOTKxFU/jM9NKWbvPy6H2EEoluttMBo2phTaWTsvAYNChKi6GoAet\nrRplzQCDGUI+tIgPVTAVVTIL7eAGALItMZYWe3m90UGV25ScKh3228hLi9BQ/TEAfucE3q/xkOc0\nkudM/BsYa2M0uKK0twSYVmwj12mkoSuMV+WTGWkhX+fHkq5Hbz4aoOJRtM5DifE4WWVDfk21w5vR\njuxH5UwA/bGfA+XIQWs7CAc2oGYcW/tq7txZPPnks2zdsn3I9zoThKJxDnf6OdQRIBiNk2UzMjHb\n1ufMOSFGgoQXIQYQjSU+MPtr7TEeHesRHWCacZbN9IktKBlWY6/wM1Im59rZ0+yh3RfGYe7ZZRKM\nxDHqNSZk2TjiCfdab0fnbcRU9TI6byNxWyaYTOhd9Rg6qykrnsZX5lzGwc44Hb4oOi0xaLQ081hL\nDGl5qJmfg+Y90LQnMbPHno0quhhVcE6ixcJZkBg3Eo9R6YQcs4sqjym5SF2ZtZa4Ix+vx4PFYsFn\nK6Is29xjdpc+PZ90j+JQV5DiDBMlmWZKMs3E4w50bh3q4Ht4fD48B6rQazGcJg1bfhlq6tLE2Jeh\nCHnhyB6UPbtHcEm8YAZUWj60H0jMlnLkADB33mwAPvhgR68JC2c6TzDKmqpWatr9aJqGSa9jb4uX\n7Y1uLhiXwdySdOk2EiNOwosQA3CY9Zj1OvzhWJ/7KXlCMWwmHfYU2mupIsdOSYaVva0+8vVmUIlV\nZ33hGIFIjPIsK9l2E652P+HjBxzHYxgPvYHOf4RY1iSUQY8yaMT0WWhRL4aG7djSi5lWet7AFbBl\noSZ8iti4C2jq9BNWRmwWA/kGY2IF3JyJ4CxE6ziEyion0wznm4Ocn62gqx6MFn6/PzFQunzyVHR6\nQ69p6S57OQXWHDLdzbS4reSmJQKJTqdxxBenSZtMtX4Smi+CL6rDZSulKH8qyyzZDLmjLuhGC/lR\nzsK+n7c40bwtqKArGV6mTZuMxWLB5XJTXV3DpEkTh3rXUaGU4p2D7VS3+SnLtGI6bi2mDn+YDTWd\nZFiNVI5ia6k4O0h4EWIA+WlmSjOsVLf7GJ9l6zEYNRKL0xWIsHBCZkrNrLAa9VwxOZePW7y4AmH8\nkcTITbtJT2WOjbJMK4FIHItR1yOw6Tx16Ny1xNJKj63R0s1oRRnticGqxecm1m4ZQNWRAO/XeGjo\nChOOKaxGHWXZZhZMdFKUYUNNvQI+Xo3WfgClNwFaYkdpezZq8qf54MXfAVA+ZRpmYx/TzI0OavMX\nkR54A2vXAXDkgqbh7uzkUIeO6ozF7DNOoskVIRCLE/LE8L7v4vX9fuaWOclyGJiUb6Uyzzrgej2J\nF0afeMSj0Ff0iUePnnPsNTEajcyaNZ1Nm7ayZcu2lAkvzZ4QNR0BipzmHsEFEi2MnpCf3c0eKrJt\n0voiRpSEFyEGoNM0FozPxB2KcqDNR6bNhEmvwx+J4QlFqMixM7Mo9RZJLEq3sHRSDhsOdZLrMKHX\ndDgteswGPUopmj0BJmbbyTtuPIwu2IWmoolZNH2xOJNrtBw/u+ZE+48EWPVRB+FonPx0ExaDhi8c\nZ29TgDZPhM+fl01BRjHqvGugtRo6D0M8hsooQeVWgC2LrVsTY0VmzJrZ7yqybkc5ezOu5NNZzWA5\nAvEoO83j2JZZQpMul0OtQRxmPTlpBlrcCl8owo6GCIEITMqzsKfJT2WulatmZOK0DvBWac9BOQug\nq6Hv8TLeVpQjD05omZk3bxabNm3lg63bufbaL/Zf/hmkzRchGIlh72fPogyrkSOeEIFIPKV2fhep\nR8KLEJ8gz2Hm6nPy2N3sZV+rl0A0hsOk5/zSdM7JT0vZN+nzStJp9oap7wqQazejAFcwQqs3TLbd\nyIVlGT1ampROf3RVt3jvlhc4roWh/9cjElNsPOAmEotTftymfg6znol5OqqOBHh7n4vLz8kk3WpH\nXzILSmb1KCMcDrN9+y4ALr94DpvadbgD0V4Bo8sfJWbLIXPGVFSWGVcgyuYNRwjpFA3NfjKsBsxG\nHZ3+xBTrdKueQETDG4xiMenIdxrZfySA1aTjs7Oy+38hdXpU6Rx0rkaUuwkceYnXQMXB25ZoMSqd\nA4aerTJzRnil3WgssQWA2XBmr0YtxMmQ8CLEIGTZTCyckMUF4zIIxxIfCGfqppCDlWUz8ZkpeWxr\ndFHd5qfdF8ao1zGzyMmsIif5aWb84Rg1HX6aPSFMESuzIhYyfO0YHLm9ytN8baiS2QNubtjYFaKx\nK0xR5okrJ0OTK0JjV5iPmwLUtAYpzTYzs8TOtMLE2jrddu/aSygUIiMjnU+dN5nofjcbD3pwB2Nk\n2Q0olVjzJRyNs6DCScnRe8VV4uEKJrZcMBt1KAVd/gg6DYwGHcGoSoyLcUcoyTRTmGGiujXIEXeY\nfOcAo2Hyp6CiITi4Ae24/ZmUNQNVuQRVfG6vS7pX2t2+fReRSCS5L9yp8gRj7GrwsavRn+j+M+iY\nXmxjepFt4BakQcixG7EYE3uL2U29y+oKRBifZcP6SV1tQpwiCS9CDIHJoMM0hjacy7QZuaQih/NL\nowQiMcwGPU5L4m2hyR3kjao2mt0hdDoNDR2dvlJmdX5IQQE4snIBDeJRdO46lCUNVdT7Q/p4wYgi\nGlc9tlVQKjEGpro1iEJh0GtYjDoau8LUtofo9EVZWOlMjqHo7jKaO3cmer2OxZPTyXIY2FHno82b\nWK04L83IzFIHM4qPjb1wmPVk2PQcaA2gP3osEosTjChMBh3RmEKvJe7dvQpymkVPsytCmzc6cHgB\nVPFMyJmI6jiEFg6A0YzKKu+3C62iYjwZGel0dbnYtWsvs2fPGLD8wXAForyyo4ODrUGcVj02U2Kw\n+Zo9XVQdCbB8VjZm68mvHVSQZmZ8lpU9R7yUZfYM8B3+MBoa0wrSZLyLGHESXoQQOMwGHOZjbwfe\nUJS1+9to9YUpz7Ilp4pHnIvY2RAn1FrF1Fg7BrMBTVMoZy6q8lOQWTrgfawmHUa9RvDogGBIdO8c\nag/iMOuSrSOZ9sQMoi5/lPdrvEzItVCSmVgIrbubpbvbRa/TmF3qYHqRnS5/FE1LrFZ8YleJUa8x\ns8TBB4d8BKPx5AaQkJhFE4wq8k0hZoSqmBZvpKTGiNtWRGuoFE0boNvoeGYHFE5nMOvA6XQ65syZ\nyZtvruODrduHJbxsPODhYGuQibmW5PefboWcNMXBliAbqt1cMqPvNYsGQ9M0Lp6QTSgap6bj2FTp\nQCQxG29BeQYV2SdfvhCDJeFFiCHyhqIcbPdzuCtAXCkK08xMzLb3WHwuVXhCUarbfOxv9RGIxMmx\nG5mc58AfitLsCTEhq2eXjWYwERh3GWtbpmLICTAh3wz2NPS54zAMYuxPUbqJ4gwz9V0hxh8d83LE\nHSESU2TYdLS4I4zPtSSDTYbNQIsnQHVL4Ljw0t3y0nMsjFGvkZs2cNfLjGIbn6pM488ftlPXGSbD\nakCh6PTHKbd4WRZ9l9zYEdIsGUT9OoxtdUzXPsLcFCOef2GP12I4zJmbCC9bt27nWzf84ymV5QpE\n2X8kQG6asVdwM+g08pxGqloCzPZFsBpO/mc1zWJg2Tn5skidGFUSXoQYgu6ulCZPCLNeh6ZxdIEu\nDxdPyGLyCOxFNFLafWFW72ul3hXAbjJg1OnY35oIMrG4wqDT+vyw1mkaEXMOu/UOSscVoBni6PVR\nIPyJ9zToNRZUOFn1UQcHWgLkO024g1FicUWLJ0KGTU9ZVs+l5i1GHe2+RHeQz+dn9+7EtgAnhpfB\nMBl0fHFOLnpN46+7OvGEomTZDNjx8+noOpxaF12O8XRENdzBGIGInXHGLlq3rWWvL40Fc6aQYRu+\nt83u72HLMKy06w7E8IVilGT1vVS/06qn3RvFHYxiPcUfU7NBx6RcB5NyU+fnXYwtEl6EGKRAJMZb\n1e0c8YaYkHmsRUIpRZMnxN8OtJNpM6bEPi9xpXjnYAeNriATsuzJbqFcTHhDUd6v7SLTZqS8n+s1\nID7AqsIDmZBr4bOzsni/xktdZwhvKEYoqphckNhA0HHCRomRmMJmSrTEbN+2k3g8TlFRAcXF/SwK\n9wkC4RiXTs1gUoGN3Q1emt1RjE0HKO1oocVchj8QT3RrmXQUZ5jISy8h3XOQQ7V7+Ks5n7+bnY15\nmAakzju60u6ePfvw+/3YbCff5WLQaej1GtGjm1CeKBJV6HWM2LYTQpxOEl6EGKRDnQEa3UHKMk/o\nStE0ipwWqtu8VLX5UiK8NLpD1HUFKErvvdGlw2wgw2Kg2RMiFo+jP2HpeqUUgWicooyT7yIoy7Yw\nLstMmzfKx01+1u7poiLP0isUBCOJgbMTcxMbKHZ3Gc2ZO3PI9zzcHmRbrY/D7SFiSpFm0TO9yMbi\nKWach3To6zLZFbKx70iA3DQzTosem0mPTgNlcjDR0MbrrQEOtgWZWjg84zqKiwspLMynqekI27ft\nYv6C80+6rNw0IwVOI02uCGXZvX8GWzwR8p0m8pwmYtFTqbUQo2/sTJsQYoS1eUNoaP3+5eowGznc\nGTjNtTo5XYEI4Wi835WBSzOs6IDDHQHUCQNbG90hsm1GJmaf2hLwmpYYo3LhhDRmlto51B7CFYii\nlEIphSsQ5VB7iCn5VsqPfhhv/SAxWHeoXUb7mgO8uK2d3Y1+zEaNdKsebygxC+f9Gg9mswmHSYfZ\nqCMvzUhRugmHORFcADTi6AwGNDQOtQdP6fs+0Zxk19G2UyrHoNeYW56GpkFjV5jY0ZaxWFzR7Ep8\nPbfckfJT/IUAaXkRYkjUAPNIjv+QP9PpNFBaos6aphGKxnEHoygUVqMes0HHhGwbVrOe6nYfNqMB\nTQN/OEaG1ciSimwybEZiw1AXk0HHFdMzsRp17G8J0OKOAOCw6Dm/3MHFk9KT09O3Hv2AH0p4CYTj\nvLPfRTSmmJh3rLXIbtaTaYuzu8HP+JIC5mgQi4Z7b8KpFMaoH5ejHIOCcHR4/53nzZvFqldfTwaz\nU3FOoY1ITLGh2s3BtiAaGkopsuwGFk3KZHqRjdSI10IMTMKLEIPU3R0UjcUx9PHXqy8cY3ZxamwV\nUJBmJs2kp9MfoSsYocEdIhCJoRSY9BoKWDQhkyvz3HQe3oGvq5mIzoopfyp55TPJSrcPajrwYDnM\nej5zbhYXeCO0eBLhJT/NSLbj2Oyhjo5ODhw4BMCcOYPvNqppD9LiiVCe07srxWLUYTXp+MibwayM\nMgo79tEazoWjg3I1FcPhb8BvyaPLPp5gpxpwRlMkpjjQGmBfcwBXIEa6Vc+kfCsTcy39rg/UHcQ+\n2Hrqg3YBZpbYqci1cKg9RCAcx2pK7BuV3EE8dTK2EP2S8CLEIJVlWSl2WqjtClCWeWztk+6ulHRL\n6uymm2UzMTnPwUu7juANR3GaDWTZjOjQaPWF8YUidNbvxe7eTL4uhMqyQ8yH5nmTWP1hwuarUcas\nYa9XjsNIjqPvcPDB0ZaJiorxZGVlDrpMbzAGqAG6+/S4w4rQ9KXYQ3Hy9+3F0KGwHB0k7LPkUZd/\nMXUhGxlWjco8a88CQl5wNxGKxHi91szO9kQrlcWoo74zxK4GH9OK7FwxPbPPTR67g1h1dQ0dHZ1D\n+t76YzfrmVYk662IsUvCixCDZDHoubQyh7VVbdR0+jHqNHRHu1wybUYWT8wmNwUG63arzLElpkOj\n4Y8kZtgowGbSM93hxdfRwl57EbOzj3ubiEfQd+zHaHiT0LQvkph3dHocG6w7tPEuJkP34neqx15N\n3ULRxBL6hrQcLPO/jMGxi737a4jH4uicObRbxtHmNWE2wqVTnMdaXmIRtMOboWE7WqCLLe1ZbO8q\nYlyuA0thJZgSa6kEI3F21PvIsBlYPDm91/2zsjKpqBhPdXUNH3ywg8suWzy0F0aIs5CEFyGGID/N\nzN9NL+Bgh5/6rgAxBYVpZsZn28i0Ds/eNKdLizdCfpqJ6QVpdAYixOIKi0FHts1AWuvHNBgUe4IZ\nzMZ77CKdkXhaMfquanS+JmKW4tNW3+61UOYO0GXUPYbneOOyzKRbDHT6oj26oSARaLr8MZZMdhxd\n2M3EtFmzsRRPZXejn7rOEBows8TCtGJbcmE9lEI7sA6tZiPKmoHXOYGP2rLJtAaxeuugKYAqng0G\nExajjiy7gV2NPuaUOUiz9B4kfd6cmVRX17Bt204JL0IMgoQXIYbIZtIzvSCN6QVpo12VUxKOxdFp\nGhlWIxnHB6+IHy3sxWxy4I8mNi88Pg8oUxo6bxOavx2yT1942fbhR0DvadLhaJz9RwLsaQrQ4Ytg\nN+mZVmxjcr4Vu1lPlt3ArHF21lW5iSvIshvQ6zT84RiNnRGKMkxMKz7WxaJpGhV5ViryrMk9jswn\njlfxHEGr34Fy5IE1nQ6fAVdYR6ndCOQkdpN2N6OyxgGJ7Q5q20N0+CJ9hpdZs6bzp+dfSu6WLYQY\nmIQXIc5SNqMepfpordAS//FFNcptMXr1tHTPqjqNm++1trbR0NAEwMyZ05PHg5E4q3d1sqvRj0EP\ndpOeZneYg+1BPs61sOzcLNKtBhZMdGLQaWyr83KwLQQoTHodFXkWLp6cTra971azXqHlKK3jMIS9\nkJEIbxqJl0MpQK8HvRHcjXA0vCiljp7T92s2c+Y0AHbs2D30F0eIs5CEFyHOUuVZVtItRlp94Z4L\n6+ktBIwZxHw+pjp7v0VooS6U2UnccXIr3J6M7g/1iorxpKUdW5L+w1ovO+p9lGWbewyGjcQU1S1B\n3t3vZtnMrOS2BOeW2GnoChGLg9OipzjDdHL7FcXCoB27X64lRrY5RnvIQKEtmggv0WPbJbT7omTZ\nDeT2Mxi5O5BVVx3E6/XhcKTGwG8hRousViTEWSrd8v/Ze7PgyNLzPPP5z5r7jh0orLWvzW6KZLea\nq0i2RNISPUNq7Im58M3wwmFfMOxQKCYUIUUoQrqQLF/oYi4dCmvGFiM8kkWRbDbZNM3m0uyt9gUF\nVBX2LZH7erZ/Lg6AKjQSVagu1H6eiL7ozESekwlUnje/7/3eT+eTwylajsdssUndcmjZLis1mxn6\nOBGrckhZ2LZ9GbuOUl/ByR5Fhve4aXkf2BQvp89sr7pcmK+TjKg7pnh0VdCb1JlcbZKv2Vu3x0Mq\nR3ojHO+PMJQxOwsXzwWvQwRtu4aYP4u49E+IhXNQXQWrAYCpSs6kW9QcQdlSfOFi+AKk0nSotlzO\nDEUJG50/cru7c/T39yKl5ML5y/f13gQEPI8ElZeAgOeYU31xwrrChaUqy9U2noS4qfLS8Qk+hoO5\n8gtEcRIUHTwHqeg4vaQzB1EAACAASURBVC9iD33ukZ7nphdks70C/hblSsvdNXclEVJZrdgU686u\n49dbWA2Yexdl+Sqyvg7hOKSGkX3HIDsGpXnEldcRlSW/qmK3EOVFaFWQw5+AaIaPZVtUbYX38xrL\n9TB6uAd7uUnYUPjkaIIXh+/ukTpz5gSLi8ucPXuRT7388ft7gwICnjMC8RIQ8BwjhOBQV4yJXJRS\n08aVkDC1Da/Hp2jlxlGL04h2EdQQbnIUL3EAlM5rBR4WZ89eAPwL/CaKEAghtmLwP4wn/dd317aQ\n9BBzH8Cl76IsXgDPRmghZCgBxXnE6lXk0EuQn0LU8sjc+O3XboQQt34NN95Cjr6MZkb5fHSZY67F\nVP9pKj0DxMImY10hBlLGrn6XTU6dPs73vvcjzp0LTLsBAfciEC8BAQEoQpCJGDtul5FunEj3Yzij\n29TrDSavTQNw5szJrdszUY3epM5C0SJq7hRT6zWHTFSlN7F71UXMf4C4+I+Qn0KGkxDJ+AKmWUY2\nS8hQCnHl+yAEcuDMNp+LTI8g1RDK3HvI4i1EvBdCCfpOf4LewRf8dlt1GVwXGimI3r3NtinMgomj\ngIB7E4iXgICAR4bjShZKbWptD1MTDKXNHZukP8zFC1eQUtLT00Vv720hpSqCF4ZizBfWWa3Y5OLa\nVghdqeFQbjp8/kiqo7ABwG7CzDtIu4mCQIY3km0VHRnJImqr/kRRLQ9GeJtwAfzxomQfnnMCkv14\nx16DUAJUHTH3Psy9j6ivg3SRZgy6DiLHXoFwquPpbJp2L126hm3b6PrTlRsUEPAoCcRLQEDAI+FW\nvsVPr5dZLFk4rr8ccnOr9MmByK5tlc02yp0to02O9YVpWml+MV1haqWFEH67KB5SeXk8wSdG7+Iz\nKc37WTWKilS07aPfQviCo7YGigL1ImL9Jrg2qAYylgVz47kVBcwoxLr8H73xc8TU/0AaUWR6CBQN\nWhVf0DQKyFNfBzO243RGRw+QSMSpVKpcvTrFyZNH9/jOBgQ8fwTiJSAg4KEzX2zzj+cL1FoufSk/\nddZ2JasVi+9fLCIEnBzoPB682UY5deo4lBZ8wYFAJnoRsS5eGokx3h3iZr5Fve1iaAojWZOexM42\n2DY2R5lVA6S3835FRzgW0qojKsu+SBEq4IEehswwMjOKsFvI1JD/M/UCzL3rV3HubBOFk0gjilif\nhpWryAMv7TyconDq1DHeeuttzp69EIiXgIC7EIiXgICAh857MzVKTZeD3aGt23RVMJA2mS+2+dWN\nKod6wh1D4TbFywvpOsp7/w84bf8OMwbdh5ETnyEdiZA+sLOacVfMOAgNaRooQiA9x6+SbJBvwY1K\nmmIrRUgfYNh1GUpqqEKCVUesTEK9iMyNIbsmABCFW4hmBdl1cOfxVA1pxGDpAgy92DHk78yZE7z1\n1tucP3cJ/o/7ezkBAc8TgXgJeCJwPEnLdtFVZddU04Cnk1LD4Ua+RXe888dNT0JntmCxULQY6wpt\nu89xHC5evALAmUwbGc36+SlS+q2Y2XfAtZDHv3r/E1CpAWR6EJG/6T9vbc037Ko671YyvLUWpWSp\naIaJo3VhVgocry/wxdQcYcWBdhVUHXno8xDZ8Ms4bV+U7DZZpIfAavo5MupOT8um7yUw7QYE3J1A\nvAQ8Vpq2y5WVGpdWqtQsF10RHOyKcrwnTi56j7J/wFOB5UocV3YWpdIj3V5CLU1jTocQjW5/HDma\nAeDatWlarTaxsM74iTOgb/xNCOG3YlQdsXwVOXAaMiP3d2KKihz/tC+CnJZfyamvc60e48eVIcKa\n5HCkCl3dYBrUW1neK6cwrRhfziwg08P+84QSt5/TiADSb0N92OALYDcg1rOtwnMnmyF8585d6rhk\nMiAgwCcQLwGPjabt8oOra1zP14kaKlFDw3Y9fjVT4sZ6g9cOd9GXCN37iZ4iqi2HmuVgagrpsP5c\nXJyihkJYV6i13W1JuKrbZnD1ZySKV7HaLdJrMShKWlqC5oGXMUdf3DLrnhrtQtE7iFkj4o82F2aQ\n9yteANJDvoF24SysTiJrBc7aAzi5AXJdESjMbAgSiIZ0ehSTy+4xXuwZIKu1EaV5P5F3A5kdhXAa\nqmuQ6Nl+LMdCWE1k/8ldKzPHjh1C13VKpTIzM/OMjAzd/2sKCHgOCMRLwGPjwlKFyXyN4XQEQ719\nUctEdG4WGvz8VpGvn+hF/Si7Z54wik2b9+fLTOXrNB0PXREMpUK8MJBkKBV+3Kf3UImaKkf7Irw1\nVSEV0dA2fp/9+bfpKl5g1suSyA1Ri5tcWW/hVFZRZr7LjSmb7775HgCnJ3p3P4Ci3vbBfBQSvcjE\nazD+KpVak4V3G2RDOmjOxgqApj9NBKR0j+stg+WmRlZbRYbit1tG4FdhRl9GXPsRsjDjTyApql/d\naRSQPUeRPUd2PRXDMDh27DDnzl3k3LmLgXgJCNiFwFwQ8FhoOx6XV2okTH2bcAE/FbUvEWK+3GKp\n+gAXpSeEYtPme1dWeXeujK4q9MZN4qbG5FqD711Z5Wahsa/HczxJoWGxXrew3Q5TNI+Bl0ZijORM\npldbrFVtvNo64cJV5uwEWjhOIqRyfr7BWt3BiXQR0yW5yhXeed9P1j11oHM2ClKC6/jVjgfFiOKF\nUkhF9StieggSvWBV/WOwUTCRIB3bn3rqPb5j7FkOvoB34muQ6kc0Cv6kklCQE59BHv8d/3nvwuYK\nhMD3EhCwO0HlJeCx0LBdapZLKtQ5iCusq9iuR7XdYUHeU8a5xQrzpSbj2ehWVL2hKsRMjZlig1/N\nFBlKhbcqEh8VT0qurta4sFRlrW6BhHRE50RvnOO98Qd+/gchGdb4vTNZPpitcWmxgVtaRreqdHcf\npC9lcHGxCcitrcs2GXqdVfK3JgEY7s9Cq7LdXwJQW0OGk8jc2L6cZzykko1qrFRs4iEVmRtDWA2o\nroCiUpNhwk6DbGsOOXwCOfwbO59ECOg9iuw+hKznwfMgnNha1Hgvzpw5wd/8zX/dWkYZEBCwk0C8\nBDwWNEWgKQLb84CdUyKb+2oe5wV3P2hYLpNrdbJRo+OOnd54iKVKi9lig4FkGEMVH8kHI6Xk7dkS\nv7xVRFcVUmEdIfyqzw8n1yg2bT49ltlKoH0cJMManz2c4hOjCay5VaLXoui9MZbKFrW2uyVcABAK\nK4UK9WoFRVWxhl+G6g1olvyEWukh6kVQVeShL9wzen+vqIrg1GCMfzpfoNpyiYdM5MApRHUVu7TE\nYglOdEt6X/wisucwaObuT6aoEO/Z/f5dOPPChml3Y59TQEDATgLxEvBYiJsaw+kwF5erJDtUX9Yb\nFpmIzsBTbtht2i5txyMT6VxhatguN4sN/u7cEpmIQU/c4Fh3nPFc5L6ExkrN4r25MqmwTip8+1gR\nXaXWdji7UGE0E2E4/fj9NWFDIZzrQZmJINs1LEdD4CfubmJaZS4stADoPTDKdPYVWhPHCK1d9Eea\nhUD2HEL2n4KNjJX94kR/hLWqzXszVVYrNhFTwXJztMMZxg6E+NzJDEQe3kfnqVN+22hubpH19QLZ\nbOahHSsg4GklEC8Bj42TfQlmi01mi036Eia6quBJSaFhU2+7fGY8Q8R4tNuL9xtDUzBUhbbjEda3\nv5blaotLy1UKTZsDG22j6XyDG+sNfmMoxadG0nsWMDfXGzRsh/7kTrEXMzVW622m8vUnQrwAvkk2\nO4pYuoSmDiAlePgmPN2po3gWZ5f9lmFu5BDVNsyHDzJ0+hiG2/DHkI3o7nkqD4CmCr5wJMlozuTa\ncpO1mk1YVzjSF+Fgd+ih/00mEnHGx0eYnr7FuXOX+PznX32oxwsIeBoJxEvAY2MwGeJLh7t462aB\n+XILT0okkArpvDqW5oWB5OM+xQcmbmqMZ8O8v1AhGdK2WkJN22Uq36BuuQwlw4ykI6iKIBXWKbds\n3pkvM5AMMZKJ7Ok45ZaNoe5+UQ1pKoWGvS+vaV8QAnnws2A36F6+Qa/n4pV1ElobicJK5gUu3Pw7\nAOzkCHOFNn/3bp7uhM5vjMY50b/7LqT9QFEEE91hJrofj9g7dfp4IF4CAu5CIF4CHiujmQgDiRBz\n5Sb1touuKQwmQsRDz86f5un+BHPlFjcKDXrjIaKGylKlxUq1TTqiM5KJbBsHT4Z01usWk/n6nsVL\nSFc3/EOdsRyP6B4qBg3LZaXWRkpIhTUykYcYFBjJIE99Hb33OpnLZ5leKJLXhnC6jrBiDDJ97U8B\nOHDoMB8fjaMpsFq1+d6FIq4HZ4b2ZoB9Gjlz5gT/33/7J85+EPheAgI68excIQKeWgxNYTz75F+I\nVmttbhUalFsuYV1hOB1mIBm6Z2unK2by20e6+eWtIvPlFsvVFsuVNhFD5XhPnJ74TtNnzNRYvY8x\n8ZF0mPfnyzRtd0d7ynI8PCkZz+4uhBxP8v58iQvLVYoNGwlEDZWJbJRPDacfnpg0osjBMxzoP01+\ntsZ7MzXyNYdrk8vU15cB+OKrLxAx/HH6wbTJYsni7RsVDveECRvPZtrD5pqAc+eDiaOAgE4E4iXg\nuafScrhZaFBrO1uVn76EudWW8KTk17Ml3lso+9UhVcFxPd6dL3OsO8ZnxrP33MfUGzf5vRM9rNYs\n6pbLpeUKl1ZrHYULgO1K9PvY8TSYCnO0J8b5pQq5qElqQ2xU2g6rtTaHu2KM7lLFkVLy81sFfj1b\nImHqDKcjKAKqbYcPFitU2g5fOdq9QxTtJ4oieGkkzomBKNNrLf7i3DsA5Pr66c5uz3jpTujM5NvM\nFtoc7t1DW8exQOBvj35KOLOxJuDa1SmazSbh8BPiVQoIeEIIxEvAc83F5Sq/uFWk1LQRws88C+sK\nh7tui5KrqzV+catIMqTTl7ttiK1bLh8sVgjrKq+O3XsiRAixJVZURXA936Blu4Q+JAo8T9KwHQ7l\n9h68pimCz01kCWsK19bq3NgIvosZKh8bSPLySBpjFzG0Vre4sFQlFzW2TX4lQjoRXeXGeoOpfJ2T\nfYmOP38nridxPPmRR75DusJAyqA0dx2A4UNHO75WT/pBh7siPVibQixdhMoSICAzioxkEFYV6uug\nh/1t0Lnxu488Pwb6+nro6sqytrbOpYvXeOnjZx73KQUEPFEE4iXgueVmocFPptZRFcF49rYBtLZR\ncTBUwatjWS4sVdFUQfpD485RQyUb0bmyWuNMf+K+WisDyRATuShXVqv0J0JEDf9n247HfLnJQCLE\nxH220kKaymcncrwwmGStZiGBbES/p29lttikbrn0dxhL11SFkK5wda12V/FSrNu8v1TmylITy/VI\nRzRODEQ50hveVTTtRlhXWLm5EU538PCO+y3HQ1HYaiXtQErEzV8gbvwcPImMJMFzEZf+O0q9gEz2\nI1NDCLeNWLyA7DqIPPbazgC8x4gQgjNnTvDGGz/l7NkLgXgJCPgQgXgJeC6RUnJxqYrleowmt7dT\nYqZGlye5slbnQDrMWs0iE+4sAFJhfw/Tar19X+JFUwRfOJhFVQQ31hvMl1tbm5dHMmE+N579yD6T\nZEjvmJ2zG23H425ZgKaqUmu7u96/Um7z5uVV1kpNkhEVQ1WYL1ncyLe5tR7hy8fT92yrbTuerpCf\n9SsvgxM7xctyxaY3oXMgs0u1pDiDuPlLZCh5e+9QecFfiqgZYLcgkkYaEXAtxOpV0E3kyd/d8zne\nCyklM+ttri43WalYmLrCoZ4wB7vDxEN7a7+dPHWcN974KRcuXNm38woIeFYIxEvAc0nNclmotMju\nEh6XDGlMrzdY2ahg7NYB2bx5IxD4vogaGr85kkZKybnFCrbnYQqFbMR4pEm4EUPFk/4Ft1Orp2m7\n9MQ7ey5cT/Kza+usVCwO99w2L2eiGk3L49xcnYGUyYvDsY4/34l2u838zZsAeOkR1ms2sZCK7UhW\nqjYRQ+HVg8ldKzpi9Zrvc0lvCBcpEaUFpFAgmkPUVpG1NcgMg2ogE/2ItWlkZWXnJuiPgOdJfj5V\n4Zc3q1iOJGoq2K7k2kqT4YzJV05m6IrfW1yePOm3zM4Hpt2AgB0E4iXguURK34i7m0gQQiCAqK6S\nCmuUmnZHw2ql7RDbaB99mOWqHwy3WmtjqAojmQhjmchWyFm5ZfP9q2vMFJvkoiYRww+ze3euzHy5\nxe8c6aIr9vC9GCPpCImQxnrDJhfdXmFqOS6O53G4u7P4WCy1WCi2GEiZKGK7ggsbChFD4fx8ndOD\nUTR1b4Ls8uVJHMchmUzy2icOcnWlyXLZRlcFh7rDvDQSYzR3l+Tl8jLyzmWJTgva1a1QOykUhNVg\n62xDcaguQ31tX8TL5GqTn0/7G7RTdyTxup7kxlqLH10p8s2Xuu65LX0zaffChSu7CsuAgOeVQLwE\nPJdEDJV0WCdft4mZO/8ZNCwXU1PIRQ1O9Mb50WSeuuVseVMALNdjtWbxsYHEDl/JB/NlfjFbpN72\nR5ddT3J5tcZQMsSXDnWRjRq8N19mpthgLBvdupBFDUiHdW4UGvxypsTXjnU/9ItWOqLz8cEkP7tZ\noOW4ZCIGqhCUWzaVlsOxnhgTu4xZV5o2jucR0lUc12alarNYsmhaLqaukAr7VZ2G5ZII7+3j5sL5\nywCcPn2MLx1P86nxBLWWi64JslHt3u+HqoPbKZBvQ65ID5Q7qjZScruG9mBIKbkw7wuj1IdWCKiK\nYDBjMrPeZq7QZuRuAgw4cmQCwzCoVKrMzMwzMjK0L+cYEPAsEIiXgB2UWzYr1Tae9C+k3THjmfvW\npymCE71xfnBtbYcocT3JYqXFwVyU3oRJV8yg0LA5t1RhpWYR0VXajofjeRzK+Tkod3Kr0OCtWwVM\nTWXijguU60luFRr8ZHqdLxzMcX2tQS5q7vgGLoSgJ2YyU2yyVrfofgTVlxcHk0RNjfNLFVarFp6U\nJEIanx3PcLo/ia52btGoAmiWcGYnubbWZqllooYiGOE4ZVtlvtAmHdVpWB6JPU77brZJTp06Bvib\nnvfqEwGg+xAiP430XH85ohaCUBLqeVA0hKLgRe6YDmtVfP/LR1ii+GFatmS5Yu0QLpuEdQXbhfW6\nw0ju7s+l6zpHjx7i3LmLnD9/KRAvAQF38NDEy3/6T/+Jv/iLv6BUKtHf389f/dVf8corr3R87MLC\nAt/+9rd5++23sW2b3//93+fP//zPMYynJ5fhWcByPH41W+LKSpVK298rE9JURtJhfnMsQzq8dxPo\n08CR7hirNYtzixXWsIgaGpbr0bRdhlIhPjPub2FWVMFnx7OMZiJcz9cpNW2ihsp4LspYJrLDjHpl\ntUbb9RhIbr9aq4pgMBVmtthkOl+n6bj07pLzEjM1Vmpt6tbuRtn9RAjB0e4YB3NRik0bz5Mkwxoh\n7S6iQXoMl94hU5rnSlNnyY6SNZroVhlkCZkapO2q2I7H+7M1fufk3hYMbhpUN9sm94vsPgyL5xHr\nN5HpIdBMZGoApbIE5QVkdgw2xYvdQlSXkUMvQqzrIx3vThTBxsj97iYoidzzSqaTJ49uiJfL/LN/\n9toDn19AwLPCQxEv//k//2f+8A//kDfffJOjR4/yne98h6985St88MEHjI6ObnusZVl88Ytf5Ld/\n+7f527/9W2q1Gr/7u7/Lt7/9bf76r//6YZxeQAeklPzsZoH3FspkwwZjGX90uNZ2uLJao2G7fPVY\n97YKxdOOrip8ZjzLgVSYa2s18nWbVFjjUFeUg7notnaSqgjGshHG7pJSC2C7HgvlFqldpn1MTcGV\nkmrbQVMEluNhdKhqWK6HKgTaPXwR+42mCLqie/vSoK5fpWv1LSbSI/yimiGie2iGAoTwWlVKa6tE\nUv2MdYeZXGnyyTGHTNR/T2ttl6nVFgtFP0W4P20w0RUmZio7Ki/3TSiOPP4VuPZjRHEGPBekRMa6\nwG6AZkBpHuHaIBRk3wl/z9I+YOoKI5kQ5+brZKI7/wZqG23E3sTe3uPN9yAw7QYEbOehXIn+5E/+\nhH/37/4dR4/6bvlvfOMb/M3f/A1//dd/zV/+5V9ue+x3vvMdVldX+bM/+zM0TSOVSvEf/sN/4JVX\nXuGP//iPyeXuUVsN2BeWq20ur1TpiZnE77hox0yNUV3lZqHBVL7B6f4nJwtjP9AUwcGuKAe79mc9\nwWZ77V7DR3FTYyAR4kah0dFzs1az6I4Zu1Zm1uuWL4BUhZ6YsWtb52GirZ4HBIe7dHIrLm1PsNra\neC0ySVzWOZSx6M6mmF5rUWz44mW+2Ob7F4ssl60tE+97szV6EwanM23W14uoqsqx4zvHpPdMvAf5\nsW8iCzOIesE36iZ6QSiI/DQ0ikg95FdhMsO+T2afODkY4dpqk6WyRU9C3zKFt2yPhaLFmaEofcm9\nHe/Uab/6dHGP49KW43FzI33Y9SRdcZ3xrtCubayAgKeVff+LnpubY2pqiq997Wvbbv/a177Gf/yP\n/3GHeHnzzTf50pe+tK1F9OKLL5LJZHjzzTf55je/ueMY7Xabdvv23pdKpbLPr+L5Y67coml7DCR3\n/kmoiiCsq1xdqz1z4mW/0RTBgVSY80sVsh3C4Vq2i64o9MRNclGDpWqLuVKT3rjprx3wJGu1Np6U\nvDiY2iFKCg2Lt2dL3Cz4G6k1RaErqvPCQJJjPbGP5E1q2i7z5RaW4xExVAaToXuLIaeFUlvGM5OY\nKozGHaKqQ9NVcKQgpEpydh5D78L2QBECVUC15fL9i0VWKzZjXaEtv4/rSWbX2/ztr34NwKHD44RC\ndze03hNFg9w4Mje+7WaZ7H+w570Hw9kQXzqW4ifXylxfaaGrAm/DI3yiP8Lnj6T2/HvaHJeenr5F\nrVYnFttdZBcbDj+4WODGWhuJP0nneJJsVOMLR1Mc6d3bks+AgKeBfRcvCwsLAPT3b/+AGBgY2Lrv\nw48/ceLEjtt3ezzAn/3Zn/Enf/In+3C2AZtYjnfXbBFDVWjZd4ljD9jiaE+MyXydlWp7m9nZdj3m\nyi0O5aL0J/wL95cOdfGrmSIL5RaelAgEmajOx4dSHOnefqHaHK1eKLfojpn0xExsT7JWs3hjMo/j\nyfsSl1JKLixVeXe+TKFhAb7I6ImbvDyS3tqFtFprk6/793dFDX98W6h+FUN6ZE2XrrBDoaVwIObc\nPkDVAyHI12xyUY2ehMHV5QaLJYuJ7tA2o7KqCIZzJj+57FcYTp78iC2jJ4STA1EGUibTa03Waw6m\nJjiQDTGcMfc8Mg7Q1ZWjr6+HpaUVLl64wic/9VLHxzmu5IeXilxfaTGSM7cycDwpWSxZvH6pRCKk\n0Z8KfIQBzwb7Ll503S+HKsr2b25CiI4mNl3Xdzz2bo8H+MM//EO+/e1vb/1/pVJhaChw4j8IMVPD\nlXLXPIm65TCQfPI3Pz8JDKXCfHY8y1s3C0yt1wlpKo4nQcJYNsznJrJbF+6JXJThdJj5coum7WKo\nCoOpUEej7OXlGvPlFmOZyNbPG6pgIBlipdrmnbkSE7nInn1JF5dr/Hgqj6mpDKf957Rcj+VKm9ev\nrfG5iSzT+QY3Cg2atm8cDusq49kIr45m0NMTqMtvoyVyvJBp84P5CGstlZzpItw2qAYFmaDW9nh5\nPE7YUJgrtjE10THjRBGC/OwU8AB+lyeITFQjE40/8POcOnWMpaUVLly4vKt4mSu2ubHW4kDW3Bbe\npwjBYNpkcqXJ5aVGIF4Cnhn2XbwMDg4CsLi4yMTExNbti4uLDAwMdHz84uLijtt3ezyAaZqY5pO1\nSO1pZyQdJhXSO47mNiwXCRzu2ntK6vPOid44fXGTG+t11uo2hqpwIB1iOL1zOklXlV03Pm9iux5X\nV2skQ1rHC39X1OBmscFcqcWRXQLl7sQPwyviepKwrtB2PSKKunGeYa7na/yXDxYJ6Sp9cXNr71G1\n7XB+sUrL9vja6AkipSuopVmOJ3qx+iRvr4WZLAlE20ZGB4ipUX5zNMrHDvgXcc/jrpEqKzf9tQDP\ngnjZL06eOs7rr/+E8xv5N51YLlvYniSkd273JcMqU6stvnDkI0RBBwQ8gey7eOnp6eH06dN873vf\n49/+23+7dfvrr7/Oa6/tHPX78pe/zLe+9S0cx0HT/NO5dOkSa2trfP7zn9/v0wvYhVRY51PDKX4y\nvc5MsUFmI6K+3LJp2i6n+xKM3mPSJmA72ahBdo+TO/fCcj3arrfr6LKiCEDcfdPyHXywUObd+TIC\nwY1CE10R5KIGw+kwMVNDEQrT6zU+O57dZiiOmxpmWmF6vcGNwV4OHfoKxs3XMQo3+JRwOZTUuRlK\nUU8MY44eY6Q3RfcdUfiDaZPzC/WO6cbtVpP84izw0cekn0VurwnYXbzcS5IoQiCR+5nHFxDwWHko\nFvQ/+IM/4N//+3/Pa6+9xqFDh/j7v/97fvjDH/L+++/veOxXv/pVurq6+KM/+iP+9E//lFqtxr/5\nN/+Gf/Wv/hVdXQ+euxCwd071J4gYKheWqixXW1shdb85muF4T+yRj+0+7ZRbNjfWG6zVLTRFMJjs\nXHnZC4aqENZVP6m2w8JG15MI/CrKvZgrNfnJ1DqFhs1AKoSuKFgbfpxKy+ZkX4Jqy0ZK2bHKY2gK\nQsCtQpOx00fxMv2I4lXU1joZRSOdGoDUoB8Q9yEO9oTouqUzW2gznDFvT2dJyfvnriI9j0w2Q1/f\ngwfGPSvcXhNwGc/zOrbZczEdVWyM3nf4+6o0Xc4MRX2RGxRf7ontesyVWixUWjiuRybix0d81GWp\nAfvPQ/lN/It/8S+oVCp89atfpVarMTAwwHe/+13Gx8eZn5/nk5/8JH/1V3/FN77xDTRN4wc/+AH/\n+l//a4aGhlAUhW984xv8+Z//+cM4tYB7MJGLMp6NUGk7eBJihvpYxnCfdq7n6/x02hcIuipwPfhg\nvsJQOsQXD3aR3mUh5G7oqsLR7ig/mS6QjRo7hORqrU02ajCUunuMrSclv5otYnve1hoAVRGEFZWQ\nprBWt5kttahZwweiqgAAIABJREFULqam7iq0dFXQ2vDBSDOOO/ACUlj3fB3JsMaXj6f5waUikyst\nIob//A3Lo7Dhdzlz+vgzl+j8IBw+PI5pmtRqdW7dmmNsbHjHY0ayJoNpg9mCxViXua2qla/ZGJrg\nWH9QOd0LlZbDj67nuVlobFUIXU+Sieh8ZjzLwVzg/XsSeGgy8lvf+hbf+ta3dtw+ODjI/Pz8jtv+\n4R/+4WGdSsB9IoQguUvIWsC9Wam2efN6HsuVjGcj26aNbhWa/Oh6nt870XPfovBYT5xbxSY3Cw1y\nEYOYqWJ7knzNQlUEnziQ6rg88sPntlhuM5qJYDmSfN3ylzEK//ceN1VWqi086RE3VD9Iz/XQFLHt\ngti2PTIfsSU21hXif/t4F9dXm9xabwEwnDFZ/sEcEPhdPoymaRw7dogPPrjA+fOXOooXQ1P40rE0\n371QYGq1RVhXUBVBre0SNVU+cyh592WWAYBfwfzx9TzX12oMpyPbpraWKm1+fD1P3NR2zV8KeHQE\nNbCAgH1mcq1OueUw8aFvaLqqcCAVZq7cZK7Uumda74eJmRqvHe7mvfkSk2sNliptVEUwkDI505/c\n9RuhJyUL5RZT+TqTa3Wu5+sc74kxkgnTdFzW6hbRDaHSdjwKDYvTfXHWmw4/nV5HVRR0VdAXN+lN\nmDRtj7Cu3vf530kmqvGJ0TifGL09jfN/XbkKwMlAvOzg5MljG+LlMr/3e7/T8TF9KYPffynH5EqL\nqbUmtiM5PRjlcG+YwXRwsd0Li5UWM8UmQ6nwjqmtgWSIqXydq6u1QLw8AQTiJSBgn7lRaHT0pYD/\nDdnxJKu19ke6+CdCGp+byPHSkEO15aCrgmzU2DWjx/Ukb90qcHahguV62K6k2LR5f75CX9LkSHeM\ntZrFas2i5fhTZYPJMOmwznLVotJ20IRAUxXW6hbX1uqMZvxx796EyX4l/0gptwypgVl3J5vVqAsX\ndjftAiTCGi+NxHhpJJgM/CisVNvYrr8lvRPJkM7N9QafHsvcNRcr4OETiJeAgH1GyrsPdAge3DMZ\nN7Vtaxx24/JKjXdny2SjBomQhuf5e5WKDZvlahtDUTjWG2cs6+G4HvPlFqoiKLZcPnkgxXrTYanc\notJ2MFS/MtOXMPmNoRR73i64B2Zn5ymXK2iaxpEjE/f+geeMzTUBF+4ycRTw4NxLjCvCf0wwtfX4\nCcRLQMA+M5QK8f5C2U+i/RCO6yEQ5DqsDthvHE9ycbmCoSlblSBFEYykw9Qtl4blsFhtMZwJIxAs\n19rETY2W7ZKJGuiaSm9cpSdm0Hb9j/WW5dKwPMoth6Rxd3/N/bC5SfrIkYP7l+FkN6E0D44FZhxS\nAx0noD4SVgNKcwjHQppRSA3t636kD7M5Ln3jxgyVSpVE4sHD7wJ2kgnrKIrAdr2OnrRy2+ZET6Lj\nFF7AoyUQLwEB+8zh7hhXVmus1Sy6YrdFiicls+UmfYkQB9J3nwraD6oth0LDJhXeflHtipkcR3Cr\n0GC21Nzq4Y9l/LTfn06vb6vqCCG28mUMRWGm1KTadkiyf33/B94kfSfSQ8yfhZlfIxrrfplL0ZDp\nQeT4pyF9jzRuKaFRAKcNRhTCyc7PXV8HQCgKMtGPnHgVsmMPfv4dyGYzDAz0sbCwxKWLV/nUyx9/\nKMd53hlOh+lLmMyVm4ykI9taQ4WGha4oHO4Opo2eBALxEhCwzwwmQ7w6muHntwpM5etEDRVXSlq2\nR2/c5PMT2Y+U9XLfbH3u7mxSdcUMMmENQ1P47HiGoz1xumMGK1XfBOy4HlqHKoXt+dkv6j73+7f8\nLqf34HepriDKSyBdZCQN6QP+EkbPhcoSYvY9xOw7yGgOmRnx77NbiOIsXPou8tTXIdHb+bmLc4jZ\nd6Awg3BtpB6CroPIAx+HWA6xcA5x9YdIPYzMbjy300aUF+HiPyFPf93PuHkInDp1jIWFJc6fvxyI\nl4eA7Xo4nuSz41l+NJlner1BRFdRFUHdcghpKi+PpBl5BF88Au5NIF4CAh4Cp/sT9MRNptbqLFXb\naIpgNBth/BEGXSVMjdyGIOm076hqufTGTc4MJElvVGe6YibdMYO1usVgcueHdL5ubSxn3N+2122z\n7l0qL3YTcf1/wMoVhFUHBEJRkakhZNdBRP46Yn0GsXh+6/FSMyCaBT2EzIwi1q7DwllkYmfaN4UZ\nxMV/RDTLyHg3UguBVUfMvgvlReTR12Dm176guVP8aCYyO4pYm4K5D5APSbycPHWM73//x1tVqoD9\nIV+3uLJSYzJfx/UkyZDGoa4IR7pjzBSb2J7Hke4oB3PRe+YoBTw6AvESEPCQ6I2bj3WkUlUEJ3vj\nLJRalJrb20ct2x+RfmnwtnAB0BTBmYEkr19bY6XapitqoCgCz5PkGxauJ3lhIIGuKvsW1FqvN5ie\nugncZdJIeojJNxFz7yETfcjkxt4zp41YvICYfAPSo0gjgtBCyHACUS9Au4YcOO0LGCGQsRysTcF4\n3W8JbeK5iBs/R7SqyK47DMOagQwnfWEy+Qaivo5M78xZAfznLtyAZnl7q2mf2Ny0fbc1AQH3x2K5\nxeuTa6zW2qTDBroqWK1ZzJaaHOuJ87vHezomFgc8fgLxEhDwDHOkO0a56fDufJl83cLUFGzXQ1EE\nx3tivDyS3vkzXVFsx+PXcyVuFBso4K+KiOh8diLL0T0sfrwfLl64gpSS3t5uurtznR9UXkQsX/ZF\ni3nH8VUDXAdRLyG7TL+NIwAthIyFENU1KNxCRjL+dJRqgl32Tbx3ipfKEqI0j0z27Ty2UDZEzw3/\nudVdPjZVA9GuIV37o74Vd2WzKnXx4pVd1wQE7B3Hk/zPmwXWGzYT2ehWmGQypNOyXS4tVxlIhjjT\nn3jMZxrQiUC8BAQ8wyhC8MnhFCOZMDcLDYpNh7Dub7EeSoU77qsSQnCqP8FYNsJcqUXTdgnpCkOp\n8J7Gs++XzeySu7WMRGke7NZ24QLQqiBaJV+cVJah+5AvUlwHVA0ZjiPqBWS7BqE4WDUwIv5/d2I1\nwLVA36UtoEc2LETCn2Lq9Lh2DWlEwXw4hs6DB8cIhULU6w1u3JhhYmL0oRzneWGh3GKx3GIgEdqx\njiKkq0QMlUvLVU70xoO9bk8ggXgJCHjGEULQlwjRl/Dj4W3Xo9RyKDZtUiFt1zUFMVPjaM/DDzvb\nbIOcvFs4net0zpXxHN+oq5ng2RBOIUMpaJb8VpGig6z597k2olFCHv6C//g70cwt8+2O+wCcti+Q\nwnFEeRGZHQVxx/vm2ohmEXnwc7sLoAdkc03A+++f5/z5S4F4eUAqLQdXyl3N83FTo9JyaNruQxHt\nAQ9GUHcMCHgKsF2Ppu3iyY/uNHE9yYWlCn93bon/8sEi/+WDBf7r2UXOLlZwvMe3anhPY9LhBCB9\noXInqu6LjnYNQgm/2tJ9CHQTaqvQKvvenGYFsX4D2X0Q2XfcFz13kuxHJnr96s2HkRJRXYXcOPLI\nl5GRjO+Bqa/7x62uIPI3kLkJ5OALD/JW3JNNT1Dge3lwNEUgpZ/u3AnH9SfrgqrLk0kgJwMCHiHr\ndYupfJ25cgtFwIFUmPFcdJtp9k4KDYsrqzUmV+vYniRuqhzriXOkO3Zf49ZSSn55q8jbsyVMXSGz\nsdW61LR5Y3KNYsPiM+PZRx557nneVkDdpiG1EzI7BtEuKC9uz2kx475Jt57HS2z4VaJZ5OALiMIM\nYnXS96uEk8hoBqRAvPv/+t6V7Ciy97j/fKqOHP0U4tI/QWEG4j2gh8BqICpLyFgWeeBFX+Sc/jos\nnIXV69CqgBFBHv48cuDMzrbWPnP6dCBe9ov+pEkypFFs2mQ6hEYWmhZn+hP3XHYa8HgIxEtAwCPi\ner7OT6bWKTXtrQ/EqXyDc0sVvjCRYySz3YexUm3z/aurrNQsUiE/kyVft3n92hpzpSa/dSi3FR53\nLxYrbT5YLJON6iTu2Bge1lVqbYdzS1XGs9FHEp53JzdvzlKt1jBN865rATw9SmXwVczJ1zFXJlFj\nWT8tt1mGUByZm/BHnPXwRttGgBHGm/g08vCXEPU84tYvwbWR4RR40h+BXrmKPPxb0HcCug8jAXHr\nbT9HxrN9429uAjn2MiT7/ZOJ9yCPfBnGfnPD+Bvp3Gp6CJw6vbHjKBiXfmCSIZ0TvXF+cauIEIJU\nSEMIP+NosdImYfr3BzyZBOIlIOARUGhY/GRqnbbjMZ6NbBkEpZTMlVq8ObXON04ZWxkwrif52c0C\n+brFxB2PT4Z02o7H5ZUafYkQLw7ubST35nqDpu0xkNRxPUnTdhHCFy8xU2O11mZqvf7Ixcu5cxcB\nOHHiCJq28+NISsmV5SZnZ2ssllMkWp9mzJrkiLVMf0JDTR/A6z8BZgwx+RNYv4GQHjKaRQ684IfL\neTbi8veQegTSG9NM7RrSNhGlBfjgO76fJdnvC5jcOLK8dDthN9Gz3d+yiRHdPrH0CNisTs3MzFMs\nlkinU4/0+M8av3EghSfh4nKV6fUGQoBA0BM3+M3RzJZPLODJIxAvAQGPgKl8nWLT2jaSCb6ZdjAV\n4sZ6g+lCY2ssc6naZr7cor/DJISpKcRMjXOLFXIRHVVVSIe1jkF0m5Q3FivOlZoslFs0bBeBb0oc\nSIYwVIVS8+GM+N6Nc+c2/S6dzbrvz9b50ZUSIMnFdNTYEBebfbxda3IqFuJLp3qpLN5k/tw7uNU2\ncS/OaKiKqYb8vJZED2LyTbDq/m4jz/WD6soLCLvlbw5olpBv/d94H//fofuw76G51wqBx0QqlWRk\nZIhbt+a4cOEyn/70y4/7lJ5qdFXh1bEMJ3rjzJdbOJ5HzNQ4kAo/mhTsgI9MIF4CAh4BC+U2EV3b\nIUTAH2c2VIXlSgs2xEu15WC7HqEO/XZXSspNm3PFBmu1NrqqEA9pHO2O8eJgsmOPPqQJbqw3sDyJ\nrgoihoqUUG45lJpVIobKkX3Ob9kLm96N0x3WApQaDj+frhDSBT2J222ZXt2gFdZ4b7nN6puTVOav\nUbU0FGMUFI0ep8XnxC0OXfoenlCgsozc8KKI/LRvrjVjyFjCD64TAmpriMs/QGphyBx4NC/+I3Ly\n1DFu3Zrj3NlLgXjZJ9IRnXTk4S3WDNh/AvESsAPHk1Ra/rfwREgP3Pb7gBC7TzUASOS2SeDN6WVP\nym0mWiklN/MNJtfqqIqgNxEirCmUWw4/v1Wg1LT58uGuHePPhqpQaNjkYgaxO8Y+TU2h0nRYrLRY\nq1v8cHINQ1UYTIYYTod3HaPeL85vtI12iBfXZnnyPKNz7zFsVnELYQrJQ5TiE9halJCusFppM722\nziuxFn1dKYTwcDyL+YbJ9yoHiShXGLj1tu9Hce2tLdPyQzkvQgpkvBvRrsHCOeQTLl5OnTrOP/73\n1wPTbsBzTSBeArbwpOTKSo2Ly1XW6hYA2YhvWjvWE38m18DbrsdMsclKtY0H5CIGI5nwvk8YDKfD\nXFurIaXcUX1xPYntSQbu2CXUlwiRDOm+4IjenoSotB3myk0QkgN3hMZlo74oubZa52AuyuEPVVFq\nlksqotO0PRThEtl4fQ3bZb1pU227vDNbYjgTxvUk780LRjJhvniwi8RD2sW0vl5gbm4R8KsJt98Q\nC3H1DZLX3qG7aaEaSQxrneHlN8mUJ7nV/1sUZIJyrYXuNknFwlvCT1NgJGYzWdE5Zx9gsHIdOXAa\n4baR9XW/VRTrun0szwGBP4mkmlC45Y8/P+SpoQfh9sRRYNoNeH4JxEsA4H+j/9VMkV/OlDBUhVRY\nRwD5us0Pr+UpNG1eHc088lHah0mhYfHGZJ75cgvXu1356I2bfG4ix2By/8x6Y9kI3TGTmWKTA6kw\nyoYQdD3JTKlJX9xk7I5po7ipcaovzs9uFlAEpMM6QgjWqm3W6xZdMXOb2AG/iqIo/lTTh8VLpeVw\nKBelYbssVy3ydev2biIpSYV0clGd4bR/DpbjMbVWR1cUvnqs+6H83jcrB2NjwyQSt6c6xMJ5xPz7\nOLEe8k3QTL+cL6RLoj7DwOovuBH5Ao22ywHVQnSI68+aHtP1CE3TxUz1Q2UIMX/Wz4nZfC2uhWgU\nkfFuiOb8yozT2pkl84Sx6Q+6dOkatm2j60G7I+D5IxAvAQAsVdq8N18hHda3LfCLGCqVlsPZhQpj\nG5HyzwJtx+ONyTyzxSYH7miPuJ5kttTkjck1/vnJXpKh/bkwJEM6v3Uwx4+v57lRaGy14lxP0pcw\n+cLBHBFje7XnpaEUric5f8ckxEK1TdhQOdoT69ijD2kq5baz4/aooeJKONQVYyjlUmu7gGSx0mIz\nls24Y+za0BQGU/5KgcVKe1+F3CbnN826d7aMXBsWzyONGOl4glCpRsPyiBgKUqjUQz0kG7OElVVs\nqTMQdcBxd8T960LScGwcLYwZ60Ye+x1oVxHFWUR50R+zVjRkohfZe9Q36TYrEEnvXB3whDEyMkQ8\nHqNarXHt2jQnThx53KcUEPDICcRLAAA3Cg2atstAh4tUIqSRr7eZytefGfEyU2wwX2ptEy7gb2Ie\nSYeZXm8wnW/wsT2OIu+FoVSY//VUHzcLDZaqbRQEfQmT0Uxkh3ABPwH0ldEMx3rjLJRb2K7HjfUG\n19ZqdMc654q0HJchc+fvcDwX5cpqDcv1COsqYV3FlZJra3V0ReDBVnDdJmFdpe14rFYfjnjZnDTa\n5ndpV/1o/1CKuKkxlDaYWm1huxIPSdPSSderrNRWiEXGSKWSUJ/xs102KiqG28BrOPR5RcLdByDW\n7RtzX/4/8aRErF6HZJ+f9xJJ+2PQdhNhN5D9n/ZTe59gFEXh5Mmj/OIX73D+/KVAvAQ8lwTiJQCA\ncssmdJfRQFNTKTV3fqN/WlmstJHQ0ZAqhCCsq0yv7694AX9f0Mm+BCc7LC/ejXRY30rg7UuEWKy0\nKbfsHVWhtuPhepKDuZ3ZI2OZCBPZKJP5Oj0xg7ipIT1/5UDDdpnIRrdV3DYRAh7W4oDb4uXEHQdU\nQKgg/dbNwe4wrgcfzNUoN1yklGi4uLpCSFO4avfy8VAZpbZCSBF0W3NEmkv0t9qMJkFtfxpZXoDU\nIGgm8oVvwsXvIiqL/r6kZtmvyDgWsv8Usv/Uns7d9SQz620mV5pUWw7xkMahnjDDWfOReMNOnz7h\ni5dzl/iX//J/eejHCwh40gjESwDgf8u2XG/X+y3X61gdeFpxPcndrjGK4IH2CD0semIGp/sTvD1b\npGV7ZCI6ihCUWjaFus3x3hhj2Z1tD1NT+OKhHFFDZWq9vmXIjhgqIV3hcFd0h6+l7XioQuyoyOwH\n7XabK1cmgQ/tNAolITWAWLuODPlj4w3LJW6qdCcMYk4RU+nizNhB9ILG1GqL9yNHOKxPMVz4EUa7\nxJLMkEjmMIeS/jbqC3+PPP7P/BHoRC/yzD+HpUuwfMVP0U32I/tOInuPgLozJn7HuTseP7pS4vxc\nHVeCqQnaTosPZmucGoryxaMpjIecEbL5ngWm3YDnlUC8BAAwmolwdrFCy3Z3ZIu0HQ8p2WYofdrp\niho4Uu4YRd6kbrmc7tu/VomU0g9Ee0DjqxCCl0fSxAyF80tVFittPClJhDReGUnz4lDyrluiv3S4\nixfrSQoNGyF8YfCT6XUqbWfbfhfXk8yXm4ykww+lVXjlynUcxyGdTjE0NHDnC0QOnEGs34LKMkWR\nIV+z6YrrROwSES/PYvqTOEaCw73QdiRdMZ0DpQoShSvmSXRNw9UNfpUXhLQow/lFrMqPsM98k7Gu\nCKqRYib2EmvdJxDSpSsZYSQXRlP39rt592aVd2/VGEwbRM3b/1bqbZf3ZmqkwhqvTCT2+R3bzqZp\n99y5Sx0n2AICnnUC8RIA+H6MQ7kol5ZrdMUMkhvjsZW2w0q1zbGeOCOZZ8PvAjCajZCLGCyUWwwm\nt6fYrtbaxEyVia4Hj35frra5ulrj5noDCQwkQxzpjjH8ADH8miL42GCK470J1uoWUkrSYX1bfsvd\nyEYNshvj11JK2q7Hr2ZKTOfrRAwV15O0XI+BRIjPTuQeSs7P+Tv8LjsuvF0TyCNfhOmf4SxPkq3W\nSddqOK7Lit7HStVCiMvI9DC9CYOIrDHOHLOhbgaiMaIhFcv2mCm0KTVc5rUoI9UbvN++whuJfhQh\nqLZd3I1N2prSZDhr8trxNNnY3atMDcvl/EKDVETdJlwAoqZKMqxyfr7Oxw7ECBv3UX2R0t9S7bRA\nj0A0c9eHHz9xGEVRWFtbZ3l5lb6+nr0fKyDgGSAQLwGAf0HcnHiZXKtzo9AAIGZovDiY5JWRzEMP\nLNuNtuNRaTuoAlJhfV/GduOmxucmsvzoep7p9QYxU0MA1bZD1FT59GiG3viDLdu7nq/z5vU85ZZD\ncmPp24WlCpNrNV4eSfPi4IPtpalbDqvVNpW2g6kKhtIR+hPmfb0/QgheGkzSnwhxfa3GSs3CVBXG\nshHGspE9C6L75dxu4XQbyIHTkOin8j//nubcecKaSykyzEr0EJ7Q/B1GjSIieRLbqlMs1wnFuvE0\nncWmxkLRQnUFuZhG3RKERZHBmMN3btVwPY8vHEmRCPuvrW17TK+2+J5X5Bsv5Qjpu/+d52sOpYbD\nYKbz30YmqjFfsMjXbIZ2ecwOinOI2XegcMv33ughyI4hhz/h71XqQCQS4eChMa5dneL8+UuBeAl4\n7gjEy1NGw3IpNm0UAdmIsa+99bCu8vmJHC8MJMnXNkLqonrHdfGPgrbjcX6xzKWVGtW2gxCCvrjJ\nyb44h7oePERsNBPh6yd6ub5W52axgedJjvbEONwVfeCFbNWWw0+n17FcycQdBtpc1GC9YfHLWyV6\n4iHSYY2bhSbFpo2m+K9vMBW+a7VDSsnZxQq/mi1RbTmoisD1JMZcmaPdMT47nr2vvSxCiP+fvfuO\nj+ss8/7/OWd606jLVpdrbMdVtmM7vTnVCSGAsySw8IMQ2IQkGGICPEACD0vZLL9demjJAiEEQ/qm\nxyXNKXaau2OrWcXqmt7Pef4YSbEsyZbskUYjX+/XS6+RpmguHZX56j73fd2UuK1DrjQbK32TdecP\ns6cRgS6Uvc9S2LoVj6ZjNJiYEm3ArXXT6FqAx1kI/nY80WYK8/PwJUw0BhzsieTTGVHxh+K4zBql\nBChX2/DGFDpCBhR0jKpKdzDeH14sJpWqAiv1nREOtoeZVzyGp0e1OPjakpOFrU6IBFB2PoYS9KBn\nFaEbrRANojS9B94W9AUfAdfQwWTBgnm94WU3l1xywdjVLMQEJOElQ4TjCd5u9LCnzY83nNwROM9u\nSq5cmZLa7rdHrm5Jl1hC4/n97exq9ZNlMZJnN5Po3YH5kCdMKKaxsPjk5xXkO8zkO8ysrMxJQdUf\nqukK0hWMMX2IybN5djMHOwK8UtNJKKbRHoiiKgqarmNUFapy7Vw0M79/h+mjHegMsqWmC5vRMGCH\n6kA0zrvNXiwGhfNm5Kf060klXdePuacRiSjKnmdQWnbhMukksqZQE7OQb46RFeui3PsuB7JX0kAu\n1kgnbnc5L8fm0uONY7bpZCtBTAaNBBb2h7JRFC9mZwEHo7mYjclJ6e3+OBV5Hz6lyaCgKFDfeezw\nkm+OkW2O0+WHoiHCXlcgTo7DSP5Qp59a96LUv4XiOwyJOLrZhuLvAFT04iOOg82NbnWhtB+AujfR\n568ZspaFC+ex4e+P9QdBIU4lsm1mBoglNF7Y38HLtV0kNCjOsjDFacEbjvPC/na21ncfc9+cTHSg\nI8ieNj9lbitFLgtWkwGH2Uh5jg2rUeWNhh484fHfBXmkOoNRjKoy/ERKReHVum68kTjTcpOnaGbk\nJ0d89ncE2Hiwo39OxpE0XWdniw9dhwKnecDnd5iNFDjM7G0PpGWH6JFqaGikp8eDyWRizpyZg+/Q\nVY/SVY/uLMBIgrm5CbJNGu1hMw16IfFwiEBXK1HFzPnZrbjUBDu0CnItGsV6GyY9hkGFbDVEudpG\nbSyXHbZq4ooBRUmONA31+2JUk/t6DcnbirL3WRzv3M9Cz2Y8tTsJttRAPNp/F38kQU8owfwSx6D5\nLkrz+6g7n0iOpjgL0HMrIBFDadkFwc5kd98BD1DRXUXQWQPBriFLkhVH4lQmIy8ZoKYzyL62ZIM4\n6xFdUKdmWekJxXi32cvMfAdFJzlHYyLZ0+rHpKpD7qpc4DBzsDNIfVeIBcUTs6GYUVWOudS63R8h\nHNcGreSxGJObItZ2hWj2hgfd7ovEafGFh12+7LYaqekM0uqLDNm3ZSLoGymYO3c2ZvPgU5KKtzXZ\not9sA9VAliFKdb5OW9hIe8iAQTFzhu0Q1tJsStQgj6squtlBm2kmpsQhnPEuDPEIBowEVBdNhlJ0\ntZBCFcJRDVVVyLYN/F3RdZ1IXKfQNcQx6z6EsutJFH87uiOfZVM0PPFO3m/yEevyYy6cRlQ3YlRh\neYWTZZVHndKMhaB2K7pqBHcxAIG4wsFgPt74XAxdOqXmTkrKSgcu3zfbktsXREMwxGBQ34qj/fsO\nEgqFsNkmz4R6IY5HwksG+KAjgKoyILj0ybaZ6AhEqe8OTprwous6PeEYjmH6yvSfJolN3D1oSnpX\nMEXj2qB5SQlNo80foWKYpec2k4FoXKPFFxkUXjSd3iXXQz+voijJjQZT8UWMkb7wMqC/ywC9/YZs\nbnSrG0JerI48yh1xyh1xCMfAAMQb0afMIaE5qcjV6A4a2K3Mxe0O0I6fQEzFq7uIqaB7ooTiOk09\nUZwWlTyHa8AztnhiZNuNzCw8KgBocZQDm1GCPegFs0BRMAOXzIA5Xp0DTQfwGpy4ymYzo9BKee4Q\nTeq66lECHei5lQDs95rZ2GynLeBADepogKVeYZZmZ3VpCIex97sXC6MbzWAaei7S1KlFFBTk0d7e\nya6d+1i6bNGIjr8Qk4GcNsoAye63wzeIM6oK/ujEfSEfrWSHW5VwfPimeQCWNK1+GonybBuVOTYa\neoKE4x9YVvGRAAAgAElEQVR+b2IJjbruIC6LkfxjNH9TlOTq2aO5LEZybCY84aG7HfsjcWxGQ9rn\nLB1L32mOYVcaOfL7ugSi51WhKGry1InW+zVH/JBIoNvc6OXLcNuMuO1GFpY5KcgyEzS40B2FeBQX\noZiOltAwKMmePlk2A3EN3qzz0+KJ0uaNsb81hKLAhadlD14q3dOI0tOE7i7+cENHwKBAlRsuLg1z\nrfM9Lp5lpyrfOjC4xKMQ7EIJdPUmTiPNQSNPNzrwxlSmZyvMcIWZbWqjwODn/S4LL7Y4kt93XUfx\ntUFeFTjyGIqiKP2jL3LqSJxqZOQlA7gsRtr8w89hiGsajiFOr2Sy0wqdPL+/g7imD1p54wklR2XK\nssdvdcxomQwqF83KR/1Aob47RFRLBjGDolDitlHqttHkDQ/52HhCQ0Ehxzb419OoKpxe5OLZ/e0E\nonEcZuOAxx32RZhb5KTQmZ4VYiPR3+Nl0elD3yFvGrprKkpPA3puJVrxfJTOGpRQD4R9oChoxfPQ\nT78ScsqYrkd4q96PzaRQXe4kGI4S7GrlraAPbzxBUDNSlIhRYXMwZVoR/oSZvYeDeENxirIsrJjm\nYu5UO6U5g0culbAvuVXBMKMfWFwQ9kA0AMbeY963Wqh5B0rEjx7uQelpRre52emtwBMzMCsrCijg\nzEcPe3FofkqsIfb22FnqilISP4Ruz0EvX3bMY7lgwVxefPGl/gnQw+kMxNh3OMS+wyFCmkqh08nM\nfAcVLivS3k5kIgkvGWBmgZP97QEicW3QElhvOIbNZBz2FESmmlXgYH97gLqu5Okwl8WIpul0BmN4\nIzGWl2dTMMzmhBOF22riqnlFNHrCtPojoEOO3URFdjK4PL6rle5QbMAoia7rHPKEmZploSJn6O/p\n3Cku2gNR3mvx0uaPYjcZiCU0wnGNylwbZ0/LnbAdVz0eL7W1DcAxThuZrOhzVsPup1HaD6CbbejZ\n5eBvRXeXwPSz0WdflNwZGijNNrO4zMnrNR6CHc3k+g7gbfPgDxbhNCSY74gwNzeBGo9BZzvukgXE\nCqxU5Vv5xNL8Yx4r3WBKvrhrif7nGyARTe5I3beZYyyEsut/UVr3oFvd6PbsZKhp3U/i4FYOUEyO\n+YhRUrMjeXrMZMWp+2n2x2npiVBcNRO9cgVklwx+ziP07cjd1zdnKPWdEZ7a0UWbP4bLYkBTjLzb\n1cOeJh+ryrNZOjVrwv68CDEcCS8ZYHqunVkFTva0+cmzm3BbTWi6Tlcwhj8aZ3l5NkUT+D/tE+Ew\nG7n0tAJere2mtjtImz+CgkK2zcg503JPusHbeDGoChU5tkEddStzbKyoyGZrfQ8N3SFMBgVQUBWY\nmmU5Zq8Wo6pw3vQ8KnNt7G8P0BWMYjdZmJHvYEa+HdsEHoXbsSM5QlBeXkJOzjG+h9ml6Is/Dm0f\nQMcB0BLo5UvQC2f3T3rto6oK5892k+Pdx7u7DnLYF6Yl7sRkMjPP3kaF2oYasYO7BAIdKJ012B2z\n6Q4mjv+inVOGbsuBQMfgfiu6npzEW7YULMlJukrzTpTWvYTd09CNZiyqjmJ2oFUsR6t5Hc3XiJpX\nBboKsTBEvOAuSTblS8SgLURsVhb6vLLkJpXH0X/aaMceWr1RrCYV9xEjdqGoxgt7uukOxplZaEVV\nFKK6kRy7gW5flNfquim0mU+q47MQ6SDhJQOYezfVy7aZ2Nvmp6EnhELyv/jl5XksLHZPyv+c3FYT\nl88ppD0QpScUw6AoFLnMA06VZKq+hnsWg4onFMMXSfbuKc+xMrvAQXHWsUeVDKrC9DwH0/NOfguD\n8fTeu72TdRcOc8roSLZs9IplUHHsUycAxqiXZdG3WFAaputwE+/YS3k9qDLNEQLdgRLxoYe9YM0C\nXxsRtZy8AtdxPy9mB5QvRdn3AjpKcv6JaoB4BMXTnDy1U7oweV8tTt0H+9jZXUldZyE6MMUWZ35O\nhFnuEkxVy5m6289+j488PZ7cBDKnEj2/Csx2onEN1W4htyB/RMEFoKi8EqPJhM/r478eeZcpJaVM\nL7RSXe5karaZmo4wzZ4YVfmDOy/nOszUBgLsa/NLeBEZJ/NfBU4RNpOBc6blsrgki55QDEVRyHeY\njjmRd7IocJgpcEyukaUWb5hn9nUQiiU4oyIHi1Elrul0BKK82eDBZTExf+oIXlwzzHvvHXuy7olS\nuupRQj1YbG5K1C5Ut5M90QJ64mayjVF0gxlCHrDlEAuHCEUizC0eWUt9vXxp8p2Gt1A6a5LvqwZ0\ndzH6jHP7R4J21PfwfL2TkG4mxw4GdD7wmjngNXNWUZCzCss4vbiF/eFyevLycLtsyXBEsn/Poe4o\npdlmKvJGdjq0KxDnf3d6ySutorV2P4GWg1gqy3inwU9DV5g1C/LoCsRBZ9iOzS6rkSZPWDZ3FBlH\nwkuGcVmMuMZovxkxft5t9uIJx5iW+2GHXKOqMMVlocUbZntjDzML7JMunB5vT6MTFo8kL1UTuqpS\nZPCx2NnJK94iIppKvhJF1RJ4QhqtYRczplmYXTTC0QZFRa9YDlPmovc0Jvcfsjggp7x/rktXIM7m\ngyFURWWGzZ+cyAvkWDS6oypb2+yU2aPMcvhYUezi9R4nnR5wWmPEEzq+cIIpWSYumpM94i0/ttX7\nqO+KMHPOHFpr99NSs49VF16E22agpiPCqwe8lOaY0Y+xcF7TwWA4RjNFISYoeRUUYpz5wnHqu0Pk\n281DvmgUOC0c6gnR7IkwbYjtBU7oOSNxGj1h4gkNh9lIqduasn2xNE2nyRvG5w+i65DvNFGWY0Y9\n6r/9SCTCzp17AVi0aH5KnruPbrYnJ9aanWB1o0R8nOtuwabGecefT23Yha4acRgjVE+1cfayMuzD\n9BEalsUJRacNGQUOtofoDunMLMiBzoPJOnq/tzlmjY6wgb1tUSqLcjhnUSUlPjO7m4O0eGI4LQor\nprk4bYqdXMfI/iT7wgn2Hg5R6DJSddpcXnnqMer27QF6T0m6TTR0R6jMs2BSFcIxbdCGk7qu4wvH\nWVSRGfPHhDiShBchUkjTdRKafswduKMJjVhCx2UZfkKupuvEEsfuczPSerY3eninKTnSo5B8cSty\nmjmzKpeqk1yl5gvH2fJBO42dfhLx5HJ+s1GlMs/CRXOzyXN8uJJq1869xGIxcnNzqKgoPannHSS3\nAt2eB4EO9LxKlOYdGMPdrHLGWWhro9UTJmEvICc3h9zqSyHFm412+uMYDQpKVin428DfDvbs5LwW\nXcOp+Wj1a7C0GtXmZqaNwQ3xRiEQTRCOaRS6TFTOTq7aqtv34XJpu9lAJBbDbTcyvdDGnpYgFXmW\n/gCT0HRausPk2E0p2eRUiPEm4UWIFOgIRNnb6ueDzgAJTSffYWZOoZMZ+Y5BHVftZgM2k0ogmhhy\nZVA4lsBkUHGk4PTgO00eXqrpwmk2UpVrR1UUYgmNFm+E5/a1c8XcIkpPcDfpWELjxb1tHOjwU55j\nJrt3I8lQVGNfa4hoXOfa6rz+EY7t298DoLp6QXLEyd+B0nEAgj1gsiT3+8kpTy49Hi2LE6adibL3\nOXQ9gZ4/DaX7EEpPI854GKc9B61sDvrM86FgiP2UTpLFqKBpyTr0koUobfuTjfX0BOgQIxfL1Fno\nFdUpeT6zQcVkSHZwLp85C0VV8XR20NPRTnZ+AdG4hkEFu1nlknnZ6LrOwfYw8YROQjEQT6gUOpKr\n2vIn2XwycWqQ8CLESTrUE+K5/e10BqJkWU0YVYXariA1nUEWl2RxzrS8AQHGZjJwWoGTV+q7yLaZ\nBkym1HWdFl+E8mwrU09yu4dgNMG7zV4cZgMFRyylNxlUynNsHOwMsKPFe8Lhpb4rRG1HkPJcW+9A\nRrIDrs2sMi3fSm1HmANtYRaUJielvv32+wAsXrIA5dB2OPgKStiTHJ1IxFHq3kAvOg39tIv7J7KO\nhl6yAN1kQTm0HcXTAtnlaO7i5LLrsmooOg2MY9MbqDzPytYaX/L0jM2dnOQb6oFYiAQqwYCdmXOL\nhu4VcwJyHUaq8qzsbA4yo9BGcUUVTbUHqd23m8X559LqjVGUZWKq24zZqHLtknzquyI090QJJlQc\nZjtVOQ6cqgqxkx/hE2K8SXgR4iRE4hpbarrwhOJMz3P0z2HJtZvxR+K83eSlOMvK7MKBQ/MLS7Jo\n9oWp6QqQYzXjsCT3M+oIRsmzm1hZmTt4j5xRavaG6Q7Ghm12l+8wU98dwheO47KO/k9BQ3dyjkty\n7szAF0CjQcFkUDjQFuoPL30jL0tmFKDs34hutPbvFwQkG7w1vQ8GM/q8y0ddTyiqURMvo8ddhGrx\nUuxUKJuSjWod+1VbFbkWZhXZ2NUcpCTHjNNiAHsO4Zibhq4I5fmWkzpNNJTqCieHuiPUtIcpmzmH\nptqDHNy9i/w5KwBYMS2rf16T0aAwvcDK9AIrQd1MOGJGSQDxibwLlhDDk/AixElo6A5x2JscKTl6\n8q3TYqQzGGN3q39QeHFZjFx2WiHvt3jZ2+anJxTDpCosmprFguIspqRgk82YllxnMlwIMqkqvnic\ng10BzAYVs0GlNNs64hVO0biO0TB8wDIZFCKJ5ItjJBJh1659ACwtAhIJyCk86gE29Kwp0LYv2dvF\nWTCiOgDqOsI8v6eHw94Yuq6jazooUHU4yJXzbSOeCHuijAaFS+blYDIo7G8N09wTRVEUTCrMLLRy\n0ZwcXNbUrhwry7WwZkEurxz0klMxC4B9u3Zz2aeNrJiWxbzi0c9n8kfihOMaVqOKU1Y1iglMfjqF\nGKWuYJTarhDdwRgNPUF6wlEqlaH/q86yGukMRokltEGTeF0WI2dW5rKkxE0olsBsSO0LhstixGRQ\nCccSWIeYW9PQE+SwL0IkroECCsneQcvKspk35fijFbkOE9FWDX2oHSSBQFSjsHejw5079hCLxcjL\nzaHcFkQ35Q79Sa1ZKP428B5GH2F4affFeGpHF55wgso8M53+OIe6o3T4orzT4Oedej+fXF7IonJn\nbyfjseGyGrhqYS4tnhiHvVE0DfKdRsqG2mk6RSrzrZTlWrB1ruDp30HPof18akXhqFeSdQWjvNPk\n5WBnkEhcw2xQmZFvZ2FxlsyJEROShBchRmFHi5fX6rrxhOOYDAot3giHekIYFJXTCp2DWvrHEzom\ngzKou+mRbCbDmLT0n+qyUOq2UtcdpCrHPmBkqMUbZnern9IsK+U5NkyGZJO8dn+EFz7oQFUV5hQe\nexXKtDwH21s8dPiiTM0euBtzpz+G3Wxg9pRkqOufrLvk9OSS5uGOR9/1wwSioexuDtLhjzOzyEpD\nV4S9h0PoOjitRqwmlUPdUTZs76DDH+PiuTnHHC06WYqiUJxtpjh7/F7wDarCksXzURSF1pbD/PPV\ngyyeXcK0/JEth+8IRHlqTxst3gj5DjN5dhPhuMb2Rg+HekJcPqeQwgm+j5g49aSm0YMQp4C6riCb\nD3ahA9Pz7FTk2JlT5MRtM9HQHeKDdv+AUQhd1+kJx4ZccTTWPOEY7zV78YXjNHsivFLTRUNPEF8k\nTos3zPstPrIsRhaVuvtHhIyqwtSs5P43bzd6jrtUO99pZsW0XKKaTm17kK5AnO5AnJr2ML5IgjOn\nuyjpfRHvn6xbvQhcBRDsHvqTRgJgtKI780f0deq6zv62EFk2A4GoxoH2MCaDSp7ThNWk9gcYq0nl\nncYANR1D7+SdybbX+3lsV4Dc4goAnt2ynX9u7+CRdzrxhuLHffxbh3o47AszPd9Ojt2E1WQg22Zi\nep6dNn+UNxt6xvpLEGLUJLwIMUK7Wv1EEhqFTkv/KEaWxUhJlhUUnSZvBF8k+WIRT2g09ITJs5uY\nUzi++w8d6gnx8I7DvPBBB/5ogqkuCxqwuzW5L5ZBVShwmFla5sY8RD+aAoeZNn+UVn90wPVdwSj1\n3SEaPeH+YLOgzM2aRUXMKXaiaTpxTWd2kY2PLs5nxTRX/3Havj0ZXpZUL4Sp81G0eLJd/5ESMRRP\nE3r+NMiaOqKvVdchrukYVIUOX4xQVMN5VP8cBZIjYjrsaQmO6PNmigNtITbu7UFVFGbNS/Z7ibYe\npDTXwt7DIV7Y2zPsaT2A7mCU2q4ghU7roNFBRVEoclmo7w7REYgO8xmESA85bSTECIRiCZo8YXJt\nA0+PKIrCzIJkONnb7md3q58ChxlFgSKXhXOm5VEwjkPuwWiCjQc66Q7GmJ734ami6fkODvVu6Lmi\n3M3muDbsBpdmo0pc0/oDSncoxuv13dR2BQlEExhVlQKHiUUVOcyucFGRb2dWkRlD3IUOgzq5hsNh\ndu1Kdtatrl6IPrU4ubtz/Vvgb0c3OyARRUlE0POnJXuxjLBdvaoqFLvN7GoOEo5rqMrAVvealtyz\nx25RURTo8MdGeURHIORB6ayFaBCMZvTcShjhyNHJ2tkUJJbQKctNNqvb+txT1O7bg8WoUppj5mBb\ncvJwSc7QP4N9ze7yHUOftnSYDXQEogSjCcisPUDFJCfhRYgR0vWhX1PNBpW5RU4Sus68IieVuXbc\nViMVOfZBc2DGWk1XkFZ/hGlHzXEBKMu2caAjQEcghs1owB9NkGMbXJ8/EsdmNOA0G/CF4zyzt42G\n7jBFLgtFTgux3g0kn9vbRsSgs6gqObnXYhr6a93x/h7i8Tj5+bmUlZWAoqDPOBc9txKldR8EOpIr\njQpmohfMAPPoVsnMLbazpyVILK6jHTnKoOt0BeO4rAbynSZaPFEcWamdW6Q0vgM1r6IEu5M/HLoO\nVheULkGfturEGu6NUCiqcag7Qo49+RyVs+cAULc32WnXYTHQ1BOl1RcbNrwkm92pROMaxiG2S4jE\nNYyqMqYTnYU4ESn/yxqJRLjzzjuZMWMGxcXFXH311TQ3Nx/zMVlZWRQXF1NaWtr/tn79+lSXJsQJ\nsxpVCp1meoaZQxCOa2TbTKyoyGFZWTazCgZP3h0Pbf4IBkUZtK9QH4fZQGcwxox8Ox3+CAlt4CkF\nXddp9Ucoz7GR7zCzu9VHQ0+IaXl2sqxGFEXBbFApzrJiMxnYVteNP3zseRV9812WLFnwYaBSVMir\nQp97KfqyG9AXXYtesmDUwQVger6VVdOzUBUIRDS6/DG8oTitvhg2k8rcqclJw+GYxmlTUrNXFACt\ne1H2PQ+ahl4wozd8zQSjBaXmZZSGbal7rmHokDwvBlTMOg2AztYWfD3JOUXHixz5TjPFWRba/JEh\nb2/3R5maZZEJu2LCSflf15tvvpmtW7eybds2GhoamD59OpdddhmJRGLI+3u9Xnw+HwcPHqSxsbH/\n7Sc/+UmqSxPihCmKwtwiJzo6ntDAUw8JTafJE6Y820bJCXarTRVVUY65UEcn+YK2tMxNeY6Nmq4g\nHYEogWicrmCUAx1BCp0WVlZkk9BhT5ufLItpyAnH+Q4zPcEYh7pCx6ypP7xULzyJr2x4qqpw1ows\nPr2qkMVlDvzRBHFNZ1ahleoKJ2ajSm1HmOkFVmYVpej7o2sojW8n55NkFSXDGCRHX+y56BYXNL6b\nPJU0RqwmhRK3me5AMjzanS6KSssBqNu3h2A0gdmoku80Dfs5VEWhutSNzaTS0B0iGk+eKowmNA71\nhDAZFZaWZo/7hHMhjiel4aWhoYH77ruPn/70p2RnZ2M0GvnRj35EU1MTTz311JCPaWpqIi8vD5st\ntd0nhUi1mQUOVpRn443EOdgZ4LAvuUy6titIWbaV86bnHnNJ9HhINrdLTpw9mq7rBKJxKnNtuK0m\nrphTxFlVORhU8Ebi6MAZFdmsmVtIgdNCLKERievYhjkdpKoKChA5Tnv5/s66Sxac5Fc3PFVVmF1k\n5+uXlvLFs6ewuNyJoigc9kTxhhMsKHFwxfzc0e8kPZxAV3ILAscwvWgceSjBTvC2pOb5hqAoCvNL\nHagKdAWSgbpvk8aavbs51BWlKt9K6XGWbVfm2rlkdiFFLjPN3jAHOwM0e8LkO8ysnlWQsp3NhUil\nlJ6Q3bJlC0VFRVRXf7j5mNlsZvXq1Tz99NOsWbNm0GMaGxspLy8f1fNEIhEikQ+HOb1e74kXLcQI\nqYrCyoocyrJt7G8P0BGIYjGoTM+3Mz3PkboXxpNQmWuj2G2lvjtIZY69/z9mTU+ODuU7zMzIT868\nzLImm+RVl7oJxzQsRnVAvxmTQcVmUvFHE2QNMWCRPOWkYDvG1x0Khdi9O9lZt3qMRl6OZDGpXDg3\nh+pKV7JRnJ7cB2hKVor7rugJ0LXh9ypSDMn5L/rY7hs0s9DKOTPdvFbjo8MfIqd8JvAMu3fs5IpP\nWbloTvawpxCPNC3PTnmOjRZvmFAsgcVooDjLcszd0YVIp5SGl6amJoqLiwddX1JSwv79+4d9jNVq\n5eabb2bjxo0oisLVV1/Nt7/9bez2oRP/D3/4Q+6+++5Uli7EiCiKQlm2jbLsiTlSaDUauHhmPs/v\n76CuO4iqKKhKcquAAruZ82bkkWs3D3rMUFsCGFWFOUVONn7QSb7dhPGoF7J2f4Rch4myXBu9sy8G\n6ZusW1CQR2np4L8NYyXbbiTbPobrEaxZyVNDYQ+Yhkh2EV9yFZUte+xqIPnzuHK6i/I8C/tbQ8QW\nz+eZ+8Db+AHXLs7HZh55+DCqyoT9uRbiaKP67d6+fTs33XTTkLe5XC6uvPJKVHXwL4uiKMP2GohG\no/j9fm644QZ+9rOf0dLSwg033MDnPvc5HnzwwSEf841vfIN169b1f+z1eikrKxvNlyLEpFXgtHDN\n/CnUdYdo9oRJ6DpTnBaq8uy4Rrn9wJxCJ3VdQWq6QuTZTbgsRuK9q40wKJxVlYPdYqBvR+mjDTlZ\ndzIw2aD49OQGk1b3wACTiKN4D6OXLBrV/kwnSlEUSnMslOZYWFx0Nj++FZoaDhEOeLGZxzY8CZEu\no/pLVl1dzbZtw8+gf+ihh4ZcWdTc3ExJScmQj/nCF77AF77whf6PS0tL+fGPf8yqVav4/e9/j8Mx\nuLmAxWLBYpHZ70IMx2YyMKfQedwW/8fjtBi5dHYh2xp7+KAjSIs3gkGFqVkWFpVnM63ExdE7Sh+p\nf77LOJwyGm96WTX42lAO70Y3WsDsgFgYJepHz6tCn37WuNeUk5NNVVU5tbUNvPvuTs4/f/xrEGI8\npHRc9YILLqCtrY3333+fBQuSk/Pi8TgbN27k17/+9bCP0zRtwIhN38qkoUZxhBDjy2U1cv6MfJaW\nxvFF4hgNCnl2M6rFwNBrCD905MjLpGOyoc+7AvJnwOGdyY7Bjjz0GeegF50GlpMLjidq8ZIF1NY2\n8Pbb70t4EZNWStNBQUEBn/3sZ1m3bh1er5dEIsE3v/lNcnNzueKKK4Z8zD333MPq1av7R2xaWlpY\nv349119/vaxAEmICcVmNFLutFDpHtkvyeE/WTQujBb1kAXr1J9FX3Yh+xr+ily9NW3ABWLx4PvBh\ncBRiMkr50MbPfvYz5s+fz9y5cyktLWXfvn0888wzGI3JQZ4NGzZQWlpKY2MjALfccgsrV67k3HPP\npaSkhOrqapYsWcK9996b6tKEEOPo/fd2k0gkKCzMp6RkZHsVZbQx7KY7Gn2jXO+8syPNlQgxdhT9\nWLt2ZQiv14vb7aZ2fwMuV1a6yxHilKCbVBIWBcWoYTHEsSsDN+/79a/u47bbvsmll17A4088kKYq\nTz0dHZ0UTz0dgPaOfbjdA/8mBnUz4YgZJQFqXEc5Tp8eIcaSz+elalY5Ho+HrKyRv37LpBIhxJiY\nzJN1J7L8/DzKy5MLJN57b2eaqxFibEh4EUKMifHorCuGtrj3mG/b9l6aKxFibEh4EUKknMfj7Z+s\nu2zZ4jRXc+pZvnwJAK+/PvabQwqRDhJehBAp98Yb29F1nWnTKpg6tSjd5ZxyVqxIbtHyxuvbh20Q\nKkQmk/AihEi51157C4CVK5eluZJTU3X1QoxGIy0trTQ0NKa7HCFSTsKLECLltvaHl6VpruTUZLfb\nWbAgucP0669vT3M1QqSehBchRErF43HefPNtAFauWp7mak5dK1Ykg+MbMu9FTEISXoQQKbXj/d0E\nAkHc7izmzZud7nJOWWf0znuRkRcxGUl4EUKkVN98lxUrqmV/sjTqG3l5992dhEKhNFcjRGrJXxYh\nREq9trU3vMh8l7SqrCyjqKiAeDzO29tlnyMxuUh4EUKk1Ou94WWVzHdJK0VRPjx19IacOhKTi4QX\nIUTKHDrUxKFDzRgMhv5GaSJ9+k4dSbM6MdlIeBFCpEzffJeFC+fhcNjTXI2QZnVispLwIoRIma3S\nnG5C6WtWd/hwmzSrE5OKhBchRMps7Z3vsnKVhJeJwGazsXDhPECWTIvJRcKLECIl/P4A77+/G4BV\nEl4mDGlWJyYjCS9CiJR48823SSQSlJeXUFpanO5yRK/lZ/TtMC0jL2LykPAihEiJrf39XWTUZSKR\nZnViMpLwIoRIib7JuqskvEwo0qxOTEYSXoQQJy2RSPSflpDJuhOLNKsTk5GEFyHESduzay9erw+n\n08H8+XPSXY44ijSrE5ONhBchxEl78/U3AVi+fAlGozHN1YijSbM6MdlIeBFCnLTXX3sDkFNGE9WA\nZnX1h9JdjhAnTcKLEOKk6LrO1ldfB6S/y0R1ZLO6N7e+meZqhDh5El6EECfl4AcHOFR/CLPZLDtJ\nT2BnnXUGAK+89GqaKxHi5El4EUKclI3PvQDA2WevkM0YJ7ALLjwHgE0vbpZ5LyLjSXgRQpyUTc8n\nw8vqS85PcyXiWM4+ewVGo5GGugbqa2vTXY4QJ0XCixDihIVCIV576RUAVq+W8DKROZ2O/lVHL23e\nnN5ihDhJEl6EECfs9VdfJRwOU1JazNy5s9JdjjiOvlNHL23alOZKhDg5El6EECds0wvJU0YXrr4Q\nRVHSXI04not6w8urW7aQSCTSXI0QJ07CixDihG16/nkALlx9QZorESOxdNkiXC4n3d3d7Nwh+xyJ\nzPUJRV4AABwfSURBVCXhRQhxQg4dauCD/fsxGAyce8G56S5HjIDRaOSsc88C4KXNcupIZC4JL0KI\nE7Jp44sALD1jOdnZ7jRXI0bqvAuTQVMm7YpMJuFFCHFCNm5Mznc5f/WFaa5EjMZ5vaNkb2x9jVAo\nlOZqhDgxEl6EEKMWi8XYsmUzAOdfJOElk8w6bRZTi4uJRCK8+ebr6S5HiBMi4UUIMWpvbXsTv99H\nbl4eCxYvSnc5YhQUReHs884D6A+gQmQaCS9CiFHbuCk53+X8iy5CVeXPSKY55/xkQ8GXJLyIDCV/\ndYQQo/bipt75LhddlOZKxInoG3l5//136erqSm8xQpwACS9CiFFpbWtlx85kj5BzL5T5LpmoaMoU\nZs+Zg67rvPLay+kuR4hRk/AihBiVzZs3ArBw4WIKCgrSXI04Ueeel2wsuOWlzektRIgTIOFFCDEq\nL25Ozne5QEZdMto5vaeOXnp5c1rrEOJESHgRQoxYOBzmxY3JLQEuuODiNFcjTsbKVWdiNBqpraul\nvqEu3eUIMSoSXoQQI/bMc0/j8XgoKS5l+fIz0l2OOAlOl4vqpcsA2CRbBYgMI+FFCDFif/v7gwCs\n/fh1skR6Eli9+lIAHn/y0TRXIsToyF8fIcSIHG49zMbeJdJrP/Evaa5GpMLVV18DwCuvvkxbe1ua\nqxFi5CS8CCFG5B8Pb0DTNJYvO4Pp06anuxyRAhUVlVQvWYqmaTzx5GPpLkeIEZPwIoQ4Ll3X+dtD\nfwXguk98Ms3ViFT6yFXJ0ZdHHn04zZUIMXISXoQQx/Xue++yd98erFYrH7nqI+kuR6TQR666BkVR\neP3NrTQ3N6W7HCFGRMKLEOK4HtqQHHW5/LIrycpyp7kakUpTpxZzxvIVADz6+CNprkaIkZHwIoQ4\npkgkwj8f+QcA131cJupORh/9yLWAhBeROYyp/oSBQIAXX3yRBx54gEceeYT9+/dTWVl5zMe8/vrr\n3HHHHdTX12OxWFi/fj033njjqJ97566dOBwOFEUB6L888v1jXaegoCjJN46+TVGOeuu97ojHqKoK\nR7zfd7uqqr0fk7xUVVRF7b/+yDchJprnnn+G7u5upkyZyrnnnJfucsQYuPKKq7jzW+t5+53t1NXX\nUVlRme6STnmaphGLxYgn4iTiceLxBAktQSKRQEsk0DQNTdfQND35vqah6zp676Wm9172Xd//lpzD\nBqCjQ9/7vZdHvn+8646+7XjXDSUYDI7wiAyU8vBy22230djYyKJFi4jFYse9/759+1i9ejX33Xcf\n1157Lbt37+aCCy4gJyeHj33sY6N67jXXXH6iZU8YqqpiMBiSl6oBRVUxGFSMBiMGgwGD0YhBNWA0\nJt83GoyYTEYMBiNGoxGzyYzRZMRkNGE0mTCbTJjMZixmMyaTGbM5+WYxW7BYLVgt1uTHFis2mxWr\n1YbVasVmtWGz2bDb7dhsduy979vtDkwmU7oPkxhHf9uQ7O3yiY+txWAwpLkaMRYKCwo568yzeenl\nLTz62MPcfuu6dJeUcfwBP21tbbS1tdLe3kaPx4PX58Hr8eDxevB4PASDQYLBIKFQiEAwQCgUIhqN\nEIlGiUWjyctYlFgsNuIX/1OVoo/REaqrq6Oqqora2tpjjrzceOONHD58mCeeeKL/uv/8z//kr3/9\nK9u3bx/Rc3m9XtxuN4WFRf2jF0MlxqMTZl8SHXAd+qDbByTV5Acf3oY+INUenXInI5PJhMPhwG53\n4LA7cDgcOJ3O5KXDhdPp/PDN4cTpdOFyuXrf73v78GOLxTJgRExMHG3tbcxfPIdEIsFrW95g1qzZ\n/bfpJpWERUExalgMcexKNI2VipEK6mbCETNKAtS4jhLTAPjzA3/iK1+7ldPnnc7mF15Jc5UTTzwe\n5+DBAxysPUhdXS21dbXU1dVS11BHW2srgWBgXOpQFGXAP7j9o/nqh6P+qqIOOhsw6CwCSt8JhgFn\nFY58niMvez8YfN1R9x9wHcf/u65pCWpqa/B4PGRlZY34OKR85GW0Nm7cyNe//vUB161Zs4avfe1r\ntLW1UVhYOOLP9cYrb+FyjfyLHw9HBpojLxNaon+IL5HQ+q/TNK1/SDA5RKiRSCRIJOK9lwnivcOG\n8Xi8d0gx0T+8GItGicXjxGMxYvEY0WiMWCx6RLKPEI1GiUaSaT8SCROORIiEw4TDYULhEOHe98Ph\nEIHe/xKCwQCJRAKAWCxGT08PPT09KTlGBoMBh8OBw+HEYXckR3hsdmw2W++bHavVgtls6R0lSl6a\njKYjRqNUjEZj/y/QkWEzeSy1/mOW0Hov4wniiXjy/US8//twZPhUVRWL2YzZYklemi24XC7y8wvI\nz8+nsKCQ/LwCcnNzJ+Vpv38+vIFEIsGSxdUDgouYfK68fA133LmOnbt28sEH+5k5c1a6S0obTdPY\ns3c37773Du+9/x7vvf8uu3bvJBwOH/NxdpudoqIiCgoKyc7Oxp3lxu12485y48pyJ//Zs9t7R7Ud\nWK1WrNbk6LfZlPw7YzYlR81NRtOAEXaj0dg/HWEy8fm8VM0qH/Xj0h5empqaKC4uHnBdSUlJ/21D\nhZdIJEIkEun/2Ov1jm2RJ6EvJWc6XdeJRqPJ4c6An2AwiD8QIBD0EwgECAQC+P1+/H4f/oC//2Of\n35e8zu9PvgWSlwG/v/8/lUQigdfrndDfx+Ox2+zMmjWbuXPmMue05NuC+QvJzc1Nd2knLJFI8OcH\n/gTAdWult8tkl5OTw3nnXsALLz7HI48/zPqv3pnuksZVS0szm1/axKYtm9iyZROdXZ2D7uNwOJkx\nfQaVlVVMq5xGZWUllRVVTJ1aTGFhIU6HMw2Vn5pGFV62b9/OTTfdNORtLpeLTZtGv7mXyWQa9B/r\n0f89H+2HP/whd99996ifS5w4RVGwWCxYLBays7NT8jkTiQTBULA//AR6g00oFCIUChIMhfpHfSKR\nSHLUKPLh6FEsFkPrncAW7x1FObrmvkujwdD7n4sBQ+/7/W8GI0ajoXfoVeXIidiarhGNRAlHwkSj\nUSKRCD6/j/b2Njo6OujoaKeru4tgKMi7773Du++9M+D5Fy9awkUXXsxFF1zMooWLM2p05m9//yv7\nP9iH2+3m2t7VKGJyu+aqa5Lh5dGHuWPd1yfdf/lHq2+oY8M//s5jTzzKnr27B9zmcDhZvGgxC+Yv\nZOGCRSxcsIhpVdMy6nd4MhtVeKmurmbbtm0pLaC0tJTm5uYB1/V93DcCc7RvfOMbrFv34YQyr9dL\nWVlZSusSY89gMOByunA5Xeku5aTEYjHqG+rZs2cXu/fuZs+e3ezeu5uamoO8/c523n5nOz+550fk\n5+VzyepL+fQNn2HJ4uoJ/cIQCAb49x//AICv3n4HbndqAquY2C679HIsFgsfHNjP7j27mDf39HSX\nlHJer4fHnniMhzY8yOtvbO2/vu+fjfPPPZ/zzr2ApdXLZHHCBJb200aXXHIJTz31FJ///Of7r3v2\n2WdZtGgRRUVFQz6mbwRAiInAZDIxY/oMZkyfwZorr+6/vqWlmRc3vcALLz7P5pc209HZwQMP/oUH\nHvwL809fwGf/9XNc+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"text/plain": [
"<matplotlib.figure.Figure at 0x7ff75816fa58>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "h1yYx49ZzRye",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"このくらいまで緩めると、見逃しはかなり減る。"
]
},
{
"metadata": {
"id": "QS0F_08Q228k",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 136
},
"outputId": "ebe7ec16-3665-4118-b310-75ef3d037342"
},
"cell_type": "code",
"source": [
"print(classification_report(y_test, svc.decision_function(X_test) > -.8))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
" precision recall f1-score support\n",
"\n",
" 0 1.00 0.82 0.90 104\n",
" 1 0.32 1.00 0.49 9\n",
"\n",
"avg / total 0.95 0.83 0.87 113\n",
"\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "3Ps8u8ye3HA_",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- 適合率と再現率はトレードオフの関係にある。\n",
"- どちらかを重視したければ、しきい値を変更すれば良い。\n",
"- decision_functionのしきい値をうまく決めるための良い基準というものは無い(関数の範囲が限定されていないので)\n",
"- predict_probaの場合は関数の値は確率なので、もう少し直感的である。\n",
" - しかし妥当とは限らない\n",
" - 例: 深さ制限の無い決定木ではpredict_probaの値は常に1となる\n",
"- **較正(calibration)**という手法で確信度の問題は解決できるが、説明は省略する。"
]
},
{
"metadata": {
"id": "olfveQqtCWlA",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### 5.3.2.5 適合率-再現率カーブとROCカーブ\n",
"\n",
"- 適合率と再現率のトレードオフを調整するのはしきい値である。\n",
"- 理論上は目的とする適合率/再現率が定まれば、それに対応するしきい値も定まる\n",
"- 再現率を高く保つのはそれほど難しくない。\n",
" - しきい値を甘くすれば良い。\n",
" - 極端な話、常に陽性と判断すれば再現率は100%になる。\n",
"- 再現率に対する要請を**作動ポイント(operationg point)**の設定と呼ぶ。\n",
"- 作動ポイントを設定するためには、適合率と再現率の**すべての組み合わせ**を同時に見られると便利→見よう→**適合率-再現率カーブ(precision-recall curve)**\n",
" - precision_recall_curve関数で適合率と再現率としきい値の組み合わせを列挙できる。\n",
" - thresholdsの長さだけちょっと短いので注意\n",
" - The last precision and recall values are 1. and 0. respectively and do not have a corresponding threshold. This ensures that the graph starts on the y axis.\n",
"\n"
]
},
{
"metadata": {
"id": "xLGD41fBEbMa",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"from sklearn.metrics import precision_recall_curve\n",
"precision, recall, thresholds = precision_recall_curve(\n",
" y_test, svc.decision_function(X_test)\n",
")"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "mi6lp8XoEsqC",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 948
},
"outputId": "e3733b9d-51c1-49b8-cd3f-d08ed14210a4"
},
"cell_type": "code",
"source": [
"import pandas as pd\n",
"pd.DataFrame({'precision': precision, 'recall': recall, 'thresholds':np.r_[thresholds, np.inf]})"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
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" <th>0</th>\n",
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" <td>0.888889</td>\n",
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" <td>-0.443646</td>\n",
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" <td>-0.241732</td>\n",
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" <tr>\n",
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" <td>0.888889</td>\n",
" <td>-0.192575</td>\n",
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" <td>0.666667</td>\n",
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" <td>0.454545</td>\n",
" <td>0.555556</td>\n",
" <td>0.531955</td>\n",
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" <th>18</th>\n",
" <td>0.400000</td>\n",
" <td>0.444444</td>\n",
" <td>0.632122</td>\n",
" </tr>\n",
" <tr>\n",
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" <td>0.444444</td>\n",
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" <td>0.444444</td>\n",
" <td>0.872126</td>\n",
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" <th>23</th>\n",
" <td>0.600000</td>\n",
" <td>0.333333</td>\n",
" <td>0.977894</td>\n",
" </tr>\n",
" <tr>\n",
" <th>24</th>\n",
" <td>0.500000</td>\n",
" <td>0.222222</td>\n",
" <td>1.000104</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25</th>\n",
" <td>0.666667</td>\n",
" <td>0.222222</td>\n",
" <td>1.070308</td>\n",
" </tr>\n",
" <tr>\n",
" <th>26</th>\n",
" <td>0.500000</td>\n",
" <td>0.111111</td>\n",
" <td>1.084364</td>\n",
" </tr>\n",
" <tr>\n",
" <th>27</th>\n",
" <td>1.000000</td>\n",
" <td>0.111111</td>\n",
" <td>1.250600</td>\n",
" </tr>\n",
" <tr>\n",
" <th>28</th>\n",
" <td>1.000000</td>\n",
" <td>0.000000</td>\n",
" <td>inf</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" precision recall thresholds\n",
"0 0.321429 1.000000 -0.751256\n",
"1 0.296296 0.888889 -0.587494\n",
"2 0.307692 0.888889 -0.487397\n",
"3 0.320000 0.888889 -0.443646\n",
"4 0.333333 0.888889 -0.404354\n",
"5 0.347826 0.888889 -0.289653\n",
"6 0.363636 0.888889 -0.241732\n",
"7 0.380952 0.888889 -0.192575\n",
"8 0.400000 0.888889 -0.178525\n",
"9 0.368421 0.777778 -0.166448\n",
"10 0.333333 0.666667 -0.160193\n",
"11 0.352941 0.666667 0.086205\n",
"12 0.375000 0.666667 0.146304\n",
"13 0.400000 0.666667 0.191534\n",
"14 0.428571 0.666667 0.369881\n",
"15 0.384615 0.555556 0.520085\n",
"16 0.416667 0.555556 0.523001\n",
"17 0.454545 0.555556 0.531955\n",
"18 0.400000 0.444444 0.632122\n",
"19 0.444444 0.444444 0.744300\n",
"20 0.500000 0.444444 0.872126\n",
"21 0.571429 0.444444 0.880026\n",
"22 0.666667 0.444444 0.883952\n",
"23 0.600000 0.333333 0.977894\n",
"24 0.500000 0.222222 1.000104\n",
"25 0.666667 0.222222 1.070308\n",
"26 0.500000 0.111111 1.084364\n",
"27 1.000000 0.111111 1.250600\n",
"28 1.000000 0.000000 inf"
]
},
"metadata": {
"tags": []
},
"execution_count": 100
}
]
},
{
"metadata": {
"id": "VwPkN5h-K72l",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"上のデータをそのままプロットするとメッチャギザギザになるので…"
]
},
{
"metadata": {
"id": "M9WqllgBLY3c",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"outputId": "64d79e23-b722-45b7-8008-c54d69e3bf1d"
},
"cell_type": "code",
"source": [
"ax = plt.figure().add_subplot(111)\n",
"ax.plot(precision, recall)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff7581d9cc0>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 101
},
{
"output_type": "display_data",
"data": {
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K9eJ71Qe8zs7qrxaRHPAKAAgtFJMgUX3A6w5VeYy+27ejruaAVwBACKKYBIk3th9Wbt7n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\nhLj9x0urx3u3OrX/xJma7W1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I98Ctt96qTZs26dChQ1q6dKkiIyMVGxurDh06+D2vlZKS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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff7581d9898>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "_hQWGlXSLliQ",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"データポイント増やします。"
]
},
{
"metadata": {
"id": "sGlm_tuwLnuj",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 468
},
"outputId": "da986407-1538-4b20-8136-4729314a29f1"
},
"cell_type": "code",
"source": [
"X, y = make_blobs(n_samples=(4000, 500), centers=2, cluster_std=[7.0, 2], random_state=22)\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)\n",
"svc = SVC(gamma=.05).fit(X_train, y_train)\n",
"precision, recall, thresholds = precision_recall_curve(y_test, svc.decision_function(X_test))\n",
"\n",
"close_zero = np.argmin(np.abs(thresholds))\n",
"\n",
"ax = plt.figure().add_subplot(111)\n",
"ax.scatter(precision[close_zero], recall[close_zero], s=50, c='k', label='しきい値0の点')\n",
"ax.plot(precision, recall, label=\"precision recall curve\")\n",
"ax.legend()\n",
"ax.set_xlabel('適合率')\n",
"ax.set_ylabel('再現率')\n",
"ax.vlines(x=0.5, ymin=0, ymax=1, alpha=.1)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.collections.LineCollection at 0x7ff757f6a828>"
]
},
"metadata": {
"tags": []
},
"execution_count": 102
},
{
"output_type": "display_data",
"data": {
"image/png": 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RqkBJTiVLOPVHp+R/frYHgAeva83kG9pc6BQREREpA1UfVLKWgb7c2q0p3cPrE+DtbnY4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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff75817fb70>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "KgjtCNYoP05Z",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- カーブが右上で鋭角に曲がっている分類器ほど性能がいい。\n",
" - 再現率と適合率が両方共高い状態を達成できる。\n",
"- 上記の例では再現率が高い状態で適合率0.5くらいまでは上げられる。\n",
"\n",
"----\n",
"\n",
"- どの再現率のときに適合率が高くなるかは学習器によって異なる。\n",
" - 得意とする動作ポイントが異なる。\n",
" - SVMとランダムフォレストで比較してみよう。"
]
},
{
"metadata": {
"id": "EZA755wVUKdK",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 468
},
"outputId": "595935c3-6d0e-43f4-bd80-7a01c4227827"
},
"cell_type": "code",
"source": [
"from sklearn.ensemble import RandomForestClassifier\n",
"\n",
"rf = RandomForestClassifier(n_estimators=100, random_state=0, max_features=2).fit(X_train, y_train)\n",
"\n",
"precision_rf, recall_rf, thresholds_rf = precision_recall_curve(\n",
" y_test, rf.predict_proba(X_test)[:, 1]\n",
")\n",
"\n",
"ax = plt.figure().add_subplot(111)\n",
"\n",
"ax.plot(precision, recall, label='svc')\n",
"ax.plot(precision_rf, recall_rf, label='rf')\n",
"ax.set_xlabel(\"適合率\")\n",
"ax.set_ylabel(\"再現率\")\n",
"ax.legend()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7ff757ed0be0>"
]
},
"metadata": {
"tags": []
},
"execution_count": 103
},
{
"output_type": "display_data",
"data": {
"image/png": 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jPLJ2K01Wfhm7D5YCsHV/EVv3F9X5Vr06hzNpcJxXwhQRzyjJERE5ImkUpJwB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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff758baa5f8>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "rWkcoxMjVQlK",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- 平均的に見ると(そこそこの再現率では)SVMの方が適合率が高いが、非常に再現率の高い領域ではランダムフォレストの方が適合率が高くなる。\n",
"- 細かい比較のためには人間の目が必要。\n",
"- ざっくり比較して自動的に良いモデルを選択するには…?\n",
" - **平均適合率(average precision)** ... 曲線の下の面積で比較する。\n",
" - average_precision_score関数で計算できる\n",
" - 使い方はprecision_recall_curveと大体一緒"
]
},
{
"metadata": {
"id": "XbiUqGOyWsV4",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
},
"outputId": "e6098315-217e-437f-fa35-e880d70a1162"
},
"cell_type": "code",
"source": [
"from sklearn.metrics import average_precision_score\n",
"ap_rf = average_precision_score(y_test, rf.predict_proba(X_test)[:, 1])\n",
"ap_svc = average_precision_score(y_test, svc.decision_function(X_test))\n",
"print(\"ランダムフォレストの平均適合率: {:.3f}\".format(ap_rf))\n",
"print(\"SVMの平均適合率: {:.3f}\".format(ap_svc))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"ランダムフォレストの平均適合率: 0.660\n",
"SVMの平均適合率: 0.666\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "P9kYODaoXLnQ",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"平均適合率は面積なので、曲線そのものと印象が違う場合もある。"
]
},
{
"metadata": {
"id": "jBBUZQG9XVxB",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### 5.3.2.6 受診者動作特性(ROC)とAUC\n",
"\n",
"- **受診者動作特性(ROC)カーブ**\n",
" - 適合率-再現率カーブと似たようなものだが、偽陽性率(false positive rate: FPR)と真陽性率(true positive rate: TPR)の対応を可視化する。\n",
" - 真陽性率: 再現率と一緒。陽性の中で陽性と判断されたものの割合。\n",
" - 偽陽性率: 陰性サンプルの中で陽性と判断されたものの割合。\n",
" - roc_curveで計算できる。"
]
},
{
"metadata": {
"id": "TBF7shvCYjkL",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1969
},
"outputId": "b2a31f46-ddf7-4f11-96ef-0d9481c24276"
},
"cell_type": "code",
"source": [
"from sklearn.metrics import roc_curve\n",
"\n",
"fpr, tpr, thresholds = roc_curve(y_test, svc.decision_function(X_test))\n",
"\n",
"pd.DataFrame({'fpr': fpr, 'tpr': tpr, 'thresholds': thresholds})"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>fpr</th>\n",
" <th>thresholds</th>\n",
" <th>tpr</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.000000</td>\n",
" <td>1.467573</td>\n",
" <td>0.008264</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.000996</td>\n",
" <td>1.445435</td>\n",
" <td>0.008264</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.000996</td>\n",
" <td>1.388308</td>\n",
" <td>0.041322</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.001992</td>\n",
" <td>1.363997</td>\n",
" <td>0.041322</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.001992</td>\n",
" <td>1.320453</td>\n",
" <td>0.090909</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>0.002988</td>\n",
" <td>1.307933</td>\n",
" <td>0.090909</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>0.002988</td>\n",
" <td>1.273623</td>\n",
" <td>0.148760</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>0.003984</td>\n",
" <td>1.266394</td>\n",
" <td>0.148760</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>0.003984</td>\n",
" <td>1.265491</td>\n",
" <td>0.165289</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>0.004980</td>\n",
" <td>1.262187</td>\n",
" <td>0.165289</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>0.004980</td>\n",
" <td>1.236395</td>\n",
" <td>0.206612</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>0.005976</td>\n",
" <td>1.232728</td>\n",
" <td>0.206612</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>0.005976</td>\n",
" <td>1.232688</td>\n",
" <td>0.214876</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>0.006972</td>\n",
" <td>1.212743</td>\n",
" <td>0.214876</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14</th>\n",
" <td>0.006972</td>\n",
" <td>1.188674</td>\n",
" <td>0.231405</td>\n",
" </tr>\n",
" <tr>\n",
" <th>15</th>\n",
" <td>0.007968</td>\n",
" <td>1.175855</td>\n",
" <td>0.231405</td>\n",
" </tr>\n",
" <tr>\n",
" <th>16</th>\n",
" <td>0.007968</td>\n",
" <td>1.150894</td>\n",
" <td>0.256198</td>\n",
" </tr>\n",
" <tr>\n",
" <th>17</th>\n",
" <td>0.008964</td>\n",
" <td>1.146445</td>\n",
" <td>0.256198</td>\n",
" </tr>\n",
" <tr>\n",
" <th>18</th>\n",
" <td>0.008964</td>\n",
" <td>1.116975</td>\n",
" <td>0.297521</td>\n",
" </tr>\n",
" <tr>\n",
" <th>19</th>\n",
" <td>0.009960</td>\n",
" <td>1.111649</td>\n",
" <td>0.297521</td>\n",
" </tr>\n",
" <tr>\n",
" <th>20</th>\n",
" <td>0.009960</td>\n",
" <td>1.070396</td>\n",
" <td>0.330579</td>\n",
" </tr>\n",
" <tr>\n",
" <th>21</th>\n",
" <td>0.011952</td>\n",
" <td>1.061843</td>\n",
" <td>0.330579</td>\n",
" </tr>\n",
" <tr>\n",
" <th>22</th>\n",
" <td>0.011952</td>\n",
" <td>1.027374</td>\n",
" <td>0.347107</td>\n",
" </tr>\n",
" <tr>\n",
" <th>23</th>\n",
" <td>0.012948</td>\n",
" <td>1.022183</td>\n",
" <td>0.347107</td>\n",
" </tr>\n",
" <tr>\n",
" <th>24</th>\n",
" <td>0.012948</td>\n",
" <td>0.926228</td>\n",
" <td>0.388430</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25</th>\n",
" <td>0.013944</td>\n",
" <td>0.920613</td>\n",
" <td>0.388430</td>\n",
" </tr>\n",
" <tr>\n",
" <th>26</th>\n",
" <td>0.013944</td>\n",
" <td>0.918718</td>\n",
" <td>0.396694</td>\n",
" </tr>\n",
" <tr>\n",
" <th>27</th>\n",
" <td>0.014940</td>\n",
" <td>0.910259</td>\n",
" <td>0.396694</td>\n",
" </tr>\n",
" <tr>\n",
" <th>28</th>\n",
" <td>0.014940</td>\n",
" <td>0.825567</td>\n",
" <td>0.429752</td>\n",
" </tr>\n",
" <tr>\n",
" <th>29</th>\n",
" <td>0.015936</td>\n",
" <td>0.800589</td>\n",
" <td>0.429752</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>90</th>\n",
" <td>0.089641</td>\n",
" <td>-0.921685</td>\n",
" <td>0.876033</td>\n",
" </tr>\n",
" <tr>\n",
" <th>91</th>\n",
" <td>0.092629</td>\n",
" <td>-0.949956</td>\n",
" <td>0.876033</td>\n",
" </tr>\n",
" <tr>\n",
" <th>92</th>\n",
" <td>0.092629</td>\n",
" <td>-0.965495</td>\n",
" <td>0.884298</td>\n",
" </tr>\n",
" <tr>\n",
" <th>93</th>\n",
" <td>0.093625</td>\n",
" <td>-0.967575</td>\n",
" <td>0.884298</td>\n",
" </tr>\n",
" <tr>\n",
" <th>94</th>\n",
" <td>0.093625</td>\n",
" <td>-0.978230</td>\n",
" <td>0.900826</td>\n",
" </tr>\n",
" <tr>\n",
" <th>95</th>\n",
" <td>0.194223</td>\n",
" <td>-1.029467</td>\n",
" <td>0.900826</td>\n",
" </tr>\n",
" <tr>\n",
" <th>96</th>\n",
" <td>0.194223</td>\n",
" <td>-1.029670</td>\n",
" <td>0.909091</td>\n",
" </tr>\n",
" <tr>\n",
" <th>97</th>\n",
" <td>0.207171</td>\n",
" <td>-1.037650</td>\n",
" <td>0.909091</td>\n",
" </tr>\n",
" <tr>\n",
" <th>98</th>\n",
" <td>0.207171</td>\n",
" <td>-1.037682</td>\n",
" <td>0.917355</td>\n",
" </tr>\n",
" <tr>\n",
" <th>99</th>\n",
" <td>0.274900</td>\n",
" <td>-1.084201</td>\n",
" <td>0.917355</td>\n",
" </tr>\n",
" <tr>\n",
" <th>100</th>\n",
" <td>0.274900</td>\n",
" <td>-1.085761</td>\n",
" <td>0.925620</td>\n",
" </tr>\n",
" <tr>\n",
" <th>101</th>\n",
" <td>0.302789</td>\n",
" <td>-1.104716</td>\n",
" <td>0.925620</td>\n",
" </tr>\n",
" <tr>\n",
" <th>102</th>\n",
" <td>0.302789</td>\n",
" <td>-1.105004</td>\n",
" <td>0.933884</td>\n",
" </tr>\n",
" <tr>\n",
" <th>103</th>\n",
" <td>0.523904</td>\n",
" <td>-1.120972</td>\n",
" <td>0.933884</td>\n",
" </tr>\n",
" <tr>\n",
" <th>104</th>\n",
" <td>0.523904</td>\n",
" <td>-1.121143</td>\n",
" <td>0.942149</td>\n",
" </tr>\n",
" <tr>\n",
" <th>105</th>\n",
" <td>0.584661</td>\n",
" <td>-1.130952</td>\n",
" <td>0.942149</td>\n",
" </tr>\n",
" <tr>\n",
" <th>106</th>\n",
" <td>0.584661</td>\n",
" <td>-1.131452</td>\n",
" <td>0.950413</td>\n",
" </tr>\n",
" <tr>\n",
" <th>107</th>\n",
" <td>0.713147</td>\n",
" <td>-1.168223</td>\n",
" <td>0.950413</td>\n",
" </tr>\n",
" <tr>\n",
" <th>108</th>\n",
" <td>0.713147</td>\n",
" <td>-1.168602</td>\n",
" <td>0.958678</td>\n",
" </tr>\n",
" <tr>\n",
" <th>109</th>\n",
" <td>0.725100</td>\n",
" <td>-1.173020</td>\n",
" <td>0.958678</td>\n",
" </tr>\n",
" <tr>\n",
" <th>110</th>\n",
" <td>0.725100</td>\n",
" <td>-1.173247</td>\n",
" <td>0.966942</td>\n",
" </tr>\n",
" <tr>\n",
" <th>111</th>\n",
" <td>0.759960</td>\n",
" <td>-1.190241</td>\n",
" <td>0.966942</td>\n",
" </tr>\n",
" <tr>\n",
" <th>112</th>\n",
" <td>0.759960</td>\n",
" <td>-1.190551</td>\n",
" <td>0.975207</td>\n",
" </tr>\n",
" <tr>\n",
" <th>113</th>\n",
" <td>0.843625</td>\n",
" <td>-1.228418</td>\n",
" <td>0.975207</td>\n",
" </tr>\n",
" <tr>\n",
" <th>114</th>\n",
" <td>0.843625</td>\n",
" <td>-1.228825</td>\n",
" <td>0.983471</td>\n",
" </tr>\n",
" <tr>\n",
" <th>115</th>\n",
" <td>0.932271</td>\n",
" <td>-1.284394</td>\n",
" <td>0.983471</td>\n",
" </tr>\n",
" <tr>\n",
" <th>116</th>\n",
" <td>0.932271</td>\n",
" <td>-1.288695</td>\n",
" <td>0.991736</td>\n",
" </tr>\n",
" <tr>\n",
" <th>117</th>\n",
" <td>0.965139</td>\n",
" <td>-1.418013</td>\n",
" <td>0.991736</td>\n",
" </tr>\n",
" <tr>\n",
" <th>118</th>\n",
" <td>0.965139</td>\n",
" <td>-1.426447</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>119</th>\n",
" <td>1.000000</td>\n",
" <td>-1.956253</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>120 rows × 3 columns</p>\n",
"</div>"
],
"text/plain": [
" fpr thresholds tpr\n",
"0 0.000000 1.467573 0.008264\n",
"1 0.000996 1.445435 0.008264\n",
"2 0.000996 1.388308 0.041322\n",
"3 0.001992 1.363997 0.041322\n",
"4 0.001992 1.320453 0.090909\n",
"5 0.002988 1.307933 0.090909\n",
"6 0.002988 1.273623 0.148760\n",
"7 0.003984 1.266394 0.148760\n",
"8 0.003984 1.265491 0.165289\n",
"9 0.004980 1.262187 0.165289\n",
"10 0.004980 1.236395 0.206612\n",
"11 0.005976 1.232728 0.206612\n",
"12 0.005976 1.232688 0.214876\n",
"13 0.006972 1.212743 0.214876\n",
"14 0.006972 1.188674 0.231405\n",
"15 0.007968 1.175855 0.231405\n",
"16 0.007968 1.150894 0.256198\n",
"17 0.008964 1.146445 0.256198\n",
"18 0.008964 1.116975 0.297521\n",
"19 0.009960 1.111649 0.297521\n",
"20 0.009960 1.070396 0.330579\n",
"21 0.011952 1.061843 0.330579\n",
"22 0.011952 1.027374 0.347107\n",
"23 0.012948 1.022183 0.347107\n",
"24 0.012948 0.926228 0.388430\n",
"25 0.013944 0.920613 0.388430\n",
"26 0.013944 0.918718 0.396694\n",
"27 0.014940 0.910259 0.396694\n",
"28 0.014940 0.825567 0.429752\n",
"29 0.015936 0.800589 0.429752\n",
".. ... ... ...\n",
"90 0.089641 -0.921685 0.876033\n",
"91 0.092629 -0.949956 0.876033\n",
"92 0.092629 -0.965495 0.884298\n",
"93 0.093625 -0.967575 0.884298\n",
"94 0.093625 -0.978230 0.900826\n",
"95 0.194223 -1.029467 0.900826\n",
"96 0.194223 -1.029670 0.909091\n",
"97 0.207171 -1.037650 0.909091\n",
"98 0.207171 -1.037682 0.917355\n",
"99 0.274900 -1.084201 0.917355\n",
"100 0.274900 -1.085761 0.925620\n",
"101 0.302789 -1.104716 0.925620\n",
"102 0.302789 -1.105004 0.933884\n",
"103 0.523904 -1.120972 0.933884\n",
"104 0.523904 -1.121143 0.942149\n",
"105 0.584661 -1.130952 0.942149\n",
"106 0.584661 -1.131452 0.950413\n",
"107 0.713147 -1.168223 0.950413\n",
"108 0.713147 -1.168602 0.958678\n",
"109 0.725100 -1.173020 0.958678\n",
"110 0.725100 -1.173247 0.966942\n",
"111 0.759960 -1.190241 0.966942\n",
"112 0.759960 -1.190551 0.975207\n",
"113 0.843625 -1.228418 0.975207\n",
"114 0.843625 -1.228825 0.983471\n",
"115 0.932271 -1.284394 0.983471\n",
"116 0.932271 -1.288695 0.991736\n",
"117 0.965139 -1.418013 0.991736\n",
"118 0.965139 -1.426447 1.000000\n",
"119 1.000000 -1.956253 1.000000\n",
"\n",
"[120 rows x 3 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 105
}
]
},
{
"metadata": {
"id": "0TLdmVZNZLsp",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 468
},
"outputId": "a55ff408-42d0-461e-efce-0fcff7486637"
},
"cell_type": "code",
"source": [
"ax = plt.figure().add_subplot(111)\n",
"ax.plot(fpr, tpr)\n",
"ax.set_xlabel(\"FPR: 偽陽性率\")\n",
"ax.set_ylabel(\"TPR: 真陽性率(再現率)\")"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0,0.5,'TPR: 真陽性率(再現率)')"
]
},
"metadata": {
"tags": []
},
"execution_count": 106
},
{
"output_type": "display_data",
"data": {
"image/png": 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97dVXX1VBQYG6du2qv//97xo+fLiOHj3qyfoAAABqpNrVVRkZGYqNjdXSpUvL/PcPf/iD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\ngCkRcgAAgCn9PwKjC8xTpGtvAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff757f8cef0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "QMkqpL5naErN",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- 左上に近い部分のしきい値が理想的。\n",
" - 偽陽性率を低く保ったまま陽性の捕獲効率を上げられる。\n",
"- これも学習器によってカーブが異なる。"
]
},
{
"metadata": {
"id": "4lEq2mbbabcI",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 468
},
"outputId": "628774df-0374-4e15-db24-d0e70bc8c0a3"
},
"cell_type": "code",
"source": [
"fpr_rf, tpr_rf, thresholds_rf = roc_curve(y_test, rf.predict_proba(X_test)[:, 1])\n",
"\n",
"ax = plt.figure().add_subplot(111)\n",
"ax.plot(fpr, tpr, label=\"SVMのROCカーブ\")\n",
"ax.plot(fpr_rf, tpr_rf, label=\"ランダムフォレストのROCカーブ\")\n",
"ax.set_xlabel(\"FPR: 偽陽性率\")\n",
"ax.set_ylabel(\"TPR: 真陽性率\")\n",
"ax.legend()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7ff757e13da0>"
]
},
"metadata": {
"tags": []
},
"execution_count": 107
},
{
"output_type": "display_data",
"data": {
"image/png": 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VDlfFxsZi6NCh2LhxI8rLy6FUKtG6dWtERUUhIiLC0LMzbNgw+Pv7O6JmIiIi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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff757f14f60>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Gx8lGMHP6Igw",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- ROCカーブの下の面積には、area under the curve、略してAUCという身も蓋もない名前がついている。\n",
"- AUCはaverage_precision_scoreと同じように、roc_auc_score関数で計算できる。\n",
"- AUCの方がよく見る(気がする)。"
]
},
{
"metadata": {
"id": "ADEgl1cJ6lYX",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
},
"outputId": "56802939-22cd-4115-f5e0-cb2b0e347938"
},
"cell_type": "code",
"source": [
"from sklearn.metrics import roc_auc_score\n",
"rf_auc = roc_auc_score(y_test, rf.predict_proba(X_test)[:, 1])\n",
"svc_auc = roc_auc_score(y_test, svc.decision_function(X_test))\n",
"print(\"ランダムフォレストのAUC:{:.3f}\".format(rf_auc))\n",
"print(\"SVMのAUC:{:.3f}\".format(svc_auc))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"ランダムフォレストのAUC:0.937\n",
"SVMのAUC:0.916\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "27Kv7BxS7T7R",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- AUCはランダムな予測に対しては0.5となる(ROCカーブが直線になる)\n",
" - 完全に正解する場合は1、完全に外れる場合は0\n",
"----\n",
"- 「9とそれ以外」をSVMでクラス分類する問題に再度戻る。\n",
"- パラメータgammaを3種類に設定し、精度、AUC、ROCカーブを確認する。"
]
},
{
"metadata": {
"id": "2e7_9Ary7zqc",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 519
},
"outputId": "66605d5f-0850-44e6-e5d9-6988abb1a172"
},
"cell_type": "code",
"source": [
"from sklearn.datasets import load_digits\n",
"digits = load_digits()\n",
"\n",
"y = digits.target == 9\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" digits.data, y, random_state = 0\n",
")\n",
"\n",
"ax = plt.figure().add_subplot(111)\n",
"\n",
"for gamma in [1, 0.125, 0.01]:\n",
" svc = SVC(gamma=gamma).fit(X_train, y_train)\n",
" acc = svc.score(X_test, y_test)\n",
" auc = roc_auc_score(y_test, svc.decision_function(X_test))\n",
" fpr, tpr, _ = roc_curve(y_test, svc.decision_function(X_test))\n",
" print(\"gamma = {:.2f} acc = {:.2f} AUC = {:.2f}\".format(gamma, acc, auc))\n",
" ax.plot(fpr, tpr, label = \"gamma = {:.3f}\".format(gamma))\n",
"\n",
"ax.set_xlabel(\"FPR\")\n",
"ax.set_ylabel(\"TPR\")\n",
"ax.set_xlim(-0.01, 1)\n",
"ax.set_ylim(0, 1.02)\n",
"ax.legend()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"gamma = 1.00 acc = 0.90 AUC = 0.50\n",
"gamma = 0.12 acc = 0.90 AUC = 0.88\n",
"gamma = 0.01 acc = 0.90 AUC = 1.00\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7ff757cc56d8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 120
},
{
"output_type": "display_data",
"data": {
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fQa1G5uYSEYexWG3M3pjMu1uOYxjQItif+SNiaR7sb3Y0p1WtC5BhGBRaCs2OIfLLMo7Y\nx1lcOGBf3/oU9HgO3HQoXMRZpGUVMiYhkV2nLwMQ37EhL8a11gT3clZtC5BhGPxl3V/Yk7HH7Cgi\n1zIMSPwM1k2E0gKoURcGvQ/NepqdTEQcaP2Bc0xcupfswlL8vdyZPqQt/duFmB2rWqi2BajQUnhV\n+YmtF4uPuy4klUqgKAfWPAX7l9rXTXrYy49/sLm5RMRhii1Wpq89zILvTwEQHRbIvPj2NKytCe4V\npdoWoP+0efhmgryDdJGZmC9tt32cxeWT4OIGdzwPt4zTOAsRJ3IiI4/RCYkcSM8B4LFujXnmrpZ4\nuuv7vCKpAAE+7j4qP2Iuw4Af34GNL4KtFAIbwtCPILyj2clExIFWJqbx3Ip95JdYqeXrwazh0dzR\nUkd3zaACJGK2/Iuw8m9wdL193eoe+y3uPrXMzSUiDlNQYuHFVQdYsisVgE6Ng5h7Xyz1AzXB3Swq\nQCJmOrkVlj8GuWfBzQv6TIebHtY4CxEncvhcDqMWJnLsQh6uLjD6juaM6dlcE9xNpgIkYgarBb6b\nAVtmAAbUiYSh/4L6UWYnExEHMQyDhT+d4eUvDlJssREc4MWb98bSpWlts6MJKkAiFS87zX7U5/R2\n+zr2frh7BnjWMDeXiDhMdmEpf1++jy/3nQWgR4u6zBwWTW0/L5OTyf9RARKpSEfWwconoPAyePpD\n3JvQdqjZqUTEgfakZDFq4W5SLxfi7urCpD4teeTWxrjqlFelogIkUhEsxfY7vHa8a183iLFPcK/d\n1NxcIuIwNpvBh9tOMOOrI1hsBuFBPsyLb09MeE2zo8l1qACJlLdLx2HJg3Bur33dZRT0fBHcPU2N\nJSKOcymvmKeXJLH5SAYA/do2YPqQtgRognulpQIkUp6SFsOX46EkD3yCYNB7EHmX2alExIF+OH6J\ncYsTOZ9TjJe7Ky/GtSG+Y7j2l6vkVIBEykNxHqx9BpIW2teNboUh/4QAzfgRcRZWm8Hcb44yb9NR\nDAOa1fNj/ohYWtYPMDualIEKkIijnd1rH2dx6Si4uEL3Z+G2CeCqyc4izuJcdhFjFiXy08lMAIbf\nFMbUe9rg66m31apCf1MijmIYsPNDWP8cWIvBPwSGfAgRt5idTEQcaNPh8zz9eRKXC0qp4enGtMFt\nGRATanYs+Z1Mnby2YMECoqKiCAsLo2PHjmzfvv0Xn7ty5Uq6du1KeHg4ERERDB06lKNHj1ZgWpFf\nUZAJi++HtRPs5Sfybnhiu8qPiBMpsdh4dc1BHl7wM5cLSmkTEsCaMd1Ufqoo044AffbZZ0yePJlN\nmzbRqlUrlixZQr9+/UhMTKRx48ZXPXfz5s2MGDGClStX0rt3b0pLS3njjTfo0aMHR48excfHx6Sv\nQgQ48yMsfQRyUsHNE3q9Ap1GapyFiBM5c6mA0Qm7SUrNBuDBrhFM7tsSL3ed2q6qTDsC9NJLLzFh\nwgRatWoFwLBhw+jWrRvz58+/5rk7d+4kMjKS3r17A+Dh4cGoUaNIS0vj0KFDFZpb5AqbFb77B/yr\nr738BDWBRzZC58dVfkScyBdJ6fR7aytJqdkE+njwwZ87MPWeNio/VZwpBSglJYVjx44RFxd31eNx\ncXGsW7fumucPHjyY9PR0XnvtNXJzczlz5gxPPPEEwcHBREZGVlRskf8v9xx8Ogg2vQqGFdoOh5Hf\nQUiM2clExEEKS6xMXr6X0QmJ5BZbuKlRLdaO7UbvNvXNjiYOYEoBSktLAyAk5OpbgkNDQ6/82X9q\n2rQpO3fu5NNPP6Vu3bo0atQIi8XC9u3b8fPz+8XXKS4uJicn56oPkT/s6Nfw7i1wcgt4+MLAd2Hw\nB+Dlb3YyEXGQo+dzGfD2NhJ+SsHFBZ7s0ZRFf+1MaE1dcuEsTClAHh72nTFdXa9+eRcXFwzDuOb5\naWlp9OnTh0GDBpGens6+ffuw2Wxs2rTpV19n+vTpBAYGXvkIDw933Bch1Y+lBDZMgX8PgYKLENwW\n/roFYkbolJeIkzAMg8U7zxA3fxvJ5/Oo4+fFpw934pm7WuLuZup9Q+JgplwEHRYWBkB6ejrNmjW7\n8nh6ejqhoddeTf/KK6/QqlUrpk+fDkBQUBCfffYZjRs3JjIyku7du1/3dSZPnsz48eOvrHNyclSC\n5MZknoRlj0DaLvv65seg96vg4W1uLhFxmNyiUp5bsZ/VSekAdGteh9nDY6jrrwnuzsiUOhscHEx0\ndDRr16696vH169fTp0+fa55/5syZa06X+fj4UK9ePXbs2PGLr+Pl5UVAQMBVHyK/2/7l8P5t9vLj\nHQj3fgb9Zqr8iDiRfanZ9J+3jdVJ6bi5ujCxTws+eaijyo8TM+143qRJk5gxYwbJycmAfZ+fDRs2\nMGrUqGueO2jQIBISEti2bRsAFouF2bNnc+jQIe68884KzS3VSEkBrB4DSx+C4hwI7wSPb4NWcb/9\nuSJSJRiGwUfbTjL43e2cvlRAaE0fPh/Zmb/d3gxXV53admam7QMUHx9PTk4O/fv3Jy8vj9DQUNas\nWUPTpk1JTU2lc+fOzJkzh2HDhvHYY4/h4uLCmDFjOH/+PBaLhXbt2rF+/Xrat29v1pcgzuzCIVjy\nEGQcAlyg29Nw+2Rw0+bpIs7icn4Jzyzdy9eHzgPQu3UwM4a2o6avp8nJpCK4GNe76thJ5eTkEBgY\nSHZ2Nu4+7nRa2AmAHSN24Ovha3I6qRQMA3Z/AuueBUsh+AXb7/BqcrvZyUTEgXaeymRMQiJns4vw\ndHPluX6t+EuXRprgXkn95/u3oy5n0a+zIv+nKBu+GAsHVtjXTXvCoPfBr665uUTEYaw2g3c3H2PO\n10ex2gwa16nBvPhYokIDzY4mFUwFSAQgdZf9Wp+s0+DqDj1fgC6jwVW3vYo4iws5RTz1+R62H7sE\nwODYUF4eGIWfl94KqyP9rUv1ZrPBD/Pgm5fBZoGaDWHovyDsJrOTiYgDbUnO4OnP93AxrwQfDzde\nGRjF0A5hZscSE6kASfWVlwErH4djX9vXrQdC3FzwqWluLhFxmFKrjVkbknlvy3EAWtb3Z/6I9jSr\n98tTBKR6UAGS6unEZlj+V8g7D+7ecPcb0P4B7egs4kRSLxcwJiGR3WeyALi/c0Oe79cabw8NMRUV\nIKlurBbYPB22zgIMqNvSfsoruLXZyUTEgb7af5aJS/eSU2TB39udGUPacXfbBmbHkkpEBUiqj6wU\nWPYopPxoX7d/APq8Dp7aAkHEWRSVWpm29hD/88NpAGLCazIvPpbwIH2fy9VUgKR6OLQGVj0JRVng\nFQBxb0LUELNTiYgDHc/IY9TCRA6dzQFgZPcmTOjdAg8NMZXrUAES51ZaBBunwE8f2Nch7WHoxxDU\n2NxcIuJQy3alMmXVfgpKrNSu4cms4dHc3qKe2bGkElMBEud18ah9nMX5ffZ11zFwxxRw1zb3Is4i\nv9jClFX7Wb47DYAuTWrz5n0xBAdoWLH8OhUgcT6GAUkJ8OUEKM0H3zr2HZ2ba3CuiDM5mJ7DqITd\nnMjIx9UFxt0ZyZM9muGmIaZSBipA4lyKc+HLp2HvYvu68W0w6AMI0N0fIs7CMAw++/E0r3x5iBKL\njfoB3sy9L4ZOTWqbHU2qEBUgcR7pe+zjLDJPgIsb9JgMt44HV+35IeIssgtKmbRsL18dOAdAz5b1\n+MewaIJq6NS2/D4qQFL1GQbseA82vgDWEggIgyEfQqMuZicTEQfadfoyYxISScsqxMPNhUl9WvLI\nrY01wV1uiAqQVG0FmbDyb5C8zr5u2R/umQe+QebmEhGHsdkM3v/uBDM3HMFqM2gY5Mv8EbG0C9PY\nGrlxKkBSdZ3abt/YMDcd3Dzhrmlw86MaZyHiRC7mFTP+8yS+S84AoH+7Bkwb3JYAbw+Tk0lVpwIk\nVY/NCt/NhC2vg2GD2s3s4ywatDM7mYg40PZjFxm3eA8ZucV4e7gyNa4N994crlNe4hAqQFK15KTD\nssfg9Db7OnoE9P0HeGmys4izsFhtvPn1Ud7efAzDgOb1/Hj7T+2JDPY3O5o4ERUgqTqS18PKJ6Dg\nEnjUgP6zIfo+s1OJiAOlZxUydlEiO09dBuC+m8N5Ma4NPp66m1McSwVIKj9LCXzzEvww376u385+\nyqtOM3NziYhDfX3wPBOWJpFVUIqflzvTBrflnugQs2OJk1IBksrt0nFY+jCc3WNfd3ocer0M7l7m\n5hIRhym2WHlj3RE+3n4SgLahgcyLjyWiTg2Tk4kzUwGSymvfUvhiHJTkgk8tGPAOtOxrdioRcaBT\nF/MZnZDIvrRsAB65tTGT+rTE010T3KV8qQBJ5VOSD+smQuJn9nXDrvaNDQNDzc0lIg61ak8az63Y\nT16xhZq+HswaFk3PVsFmx5JqQgVIKpdz++3jLC4mAy7QfSLcNhHc9E9VxFkUlliZuvoAi39OAaBj\nRBBz42NoEOhjcjKpTvSuIpWDYcDPH8NXk8FaDP4NYPAH9mGmIuI0jpzLZdTC3Ry9kIeLC4zu0Ywx\nPZvj7qZTXlKxVIDEfIWXYfUYOLTavm7eGwa+CzXqmJtLRBzGMAwW7Uxh6uoDFFts1PX3Yu69MXRt\npu9zMYcKkJgr5SdY+ghknwFXD7hzKnT+G7jqt0ERZ5FTVMrfl+9jzd6zANwWWZfZw6Op46e7OcU8\nKkBiDpsNtr8Jm14Fwwq1ImDoxxDawexkIuJASSlZjE5I5ExmAe6uLjxzVwse69YEV1eNsxBzqQBJ\nxcs9DytGwolv7euoIdD/TfAOMDeXiDiMYRh8tO0kb3x1mFKrQVgtH96Kj6V9w1pmRxMBVICkoh37\nxl5+8jPA3cc+xyv2fk1wF3EimfklTFiSxKbDFwC4O6o+rw9pR6CPJrhL5aECJBXDWgrfvgbb5tjX\n9drYT3nVa2luLhFxqB0nLjF20R7O5RTh6e7KlP6tub9TQ01wl0pHBUjK3+XTsOwRSN1pX9/0CNz1\nGnhozw8RZ2G1GczfdIy53yRjM6BJ3RrMj29P6xCd2pbKSQVIytfBVbBqNBRng1cg3PMWtBlodioR\ncaDzOUWMXZTIjycyARjSPoyXB7ShhpfeYqTy0r9OKR+lhbD+7/bNDQHCboYhH0GtRubmEhGH+vbI\nBZ7+PInM/BJ8Pd14dWAUg9uHmR1L5DepAInjZRyBJQ/BhQP29a1PQY/nwE0XQIo4ixKLjZkbjvDB\ndycAaNUggPkjYmla18/kZCJlowIkjmMY9gGma58BSyHUqAuD3odmPc1OJiIOlJJZwKiERJJSsgB4\noEsjJvdthbeHm8nJRMpOBUgcoygH1jwF+5fa10162MuPvyY7iziTtfvOMmnZXnKLLAR4uzNjaDR9\nouqbHUvkd1MBkj8ubTcsfRgunwQXN7jjebhlnMZZiDiRolIrr6w5yL93nAGgfcOavBUfS1gtX5OT\nidwYFSC5cTYb/PgOfD0VbKUQ2BCGfgThHc1OJiIOdOxCLqMWJnL4XC4AT9zelPG9IvHQBHepwlSA\n5MbkX4SVT8DRDfZ1q3vst7j7aJt7EWdhGAZLd6XywqoDFJZaqePnyezhMdwWWdfsaCJ/mAqQ/H4n\nt8LyxyD3LLh5QZ/pcNPDGmch4kTyii1MWbmfFYlpANzSrDZz7o2hnr+3yclEHEMFSMrOaoHvZsCW\nGYABdSJh6L+gfpTZyUTEgfanZTM6IZGTF/Nxc3VhfK9IHu/eFDdNcBcnogIkZZOdBssehTPf29ex\n98PdM8Czhrm5RMRhDMPgk+9PMW3tYUqsNkICvZkbH8vNEUFmRxNxOBUg+W2H18Kqv0HhZfD0h7g3\noe1Qs1OJiANlFZQwceleNhw8D8CdrYKZOawdNX09TU4mUj5UgOSXWYph4wuw4z37ukGMfYJ77abm\n5hIRh9p1OpMxCXtIyyrE082VyX1b8mDXCE1wF6emAiTXd+k4LHkQzu21r7uMgp4vgrt+GxRxFjab\nwbtbjjN7YzJWm0FEbV/mj2hPVGig2dFEyp0KkFwraTF8OR5K8sAnCAa9B5F3mZ1KRBwoI7eY8Z/v\nYevRiwAMiAnhtUFt8dMEd6km9C9d/r/iPPscr6SF9nWjW2HIPyEgxNxcIuJQW49m8NTiJC7mFePj\n4cZLA9owrEOYTnlJtaICJHZn98LSh+DSMXBxhe7Pwm0TwFXDDUWchcVqY/bGZN7dchzDgBbB/rz9\np1ia1fM3O5pIhVMBqu4MA34m/559AAAgAElEQVT6J2x4HqzF4B8CQz6EiFvMTiYiDpSWVciYhER2\nnb4MwIhODXmhf2tNcJdqSwWoOivIhNWj4fAa+zrybhj4Dvhqzw8RZ7L+wDkmLt1LdmEp/l7uvD6k\nHf3aNTA7loipVICqq9M/2Dc2zEkFN0/o9Qp0GqlxFiJOpNhiZfrawyz4/hQA0WGBzItvT8PamuAu\nogJU3dissHU2bJ4Ghg2CmtjHWYTEmJ1MRBzoREYeoxMSOZCeA8Bj3RrzzF0t8XTXBHcRUAGqXnLP\n2YeYnvzOvm47HPrPBi9dACniTFYkpvL8iv3kl1ip5evBrOHR3NEy2OxYIpWKClB1cXQjrHgcCi6C\nhy/0mwXR8TrlJeJECkosvLDqAEt3pQLQqXEQc++LpX6gJriL/DcVIGdnKYFNL8P38+zr4LYw7F9Q\np7m5uUTEoQ6dzWHUwt0cz8jH1QVG39GcMT2ba4K7yC9QAXJmmSdh2SOQtsu+vvkx6P0qeOi3QRFn\nYRgG/95xhpfXHKTEYiM4wIs3742lS9PaZkcTqdRUgJzV/mXwxTgozgHvmjBgPrSKMzuViDhQdmEp\nk5fvZe2+cwD0aFGXmcOiqe3nZXIykcpPBcjZlBTAV8/C7k/s6/DO9o0Na4abm0tEHCrxzGVGJySS\nerkQd1cXJvVpySO3NsZVp7xEykQFyJmcP2gfZ5FxGHCBbk/D7ZPBTX/NIs7CZjP459YT/GP9ESw2\ng/AgH+bFtycmvKbZ0USqFL0zOgPDgF0L7Ed+LEXgFwyDP4Amt5scTEQc6VJeMU8vSWLzkQwA+rVt\nwPQhbQnw9jA5mUjVowJU1RVmwRdj4eBK+7ppTxj0PvjVNTeXiDjUD8cvMW5xIudzivFyd+XFuDbE\ndwzXBHeRG2TqlqALFiwgKiqKsLAwOnbsyPbt23/1+fPnz6dFixaEhobSunVrFixYUDFBK6vUn+H9\nbvby4+oOvV6GPy1V+RFxIlabweyNyYz48EfO5xTTrJ4fq0bdwohODVV+RP4A044AffbZZ0yePJlN\nmzbRqlUrlixZQr9+/UhMTKRx48bXPH/27NkkJCTw7bffEhISwo8//sif/vQnevXqRWhoqAlfgYls\nNvhhHnzzMtgsULOhfZxF2E1mJxMRBzqXXcSYRYn8dDITgOE3hTH1njb4eurgvcgf5WIYhmHGCzdv\n3pzHH3+cp59++spjcXFxREZGMmvWrKuem5ubS4MGDdiyZQsdOnS48rjNZsPVtewHsXJycggMDCQ7\nOxt3H3c6LewEwI4RO/D1qCLDAfMyYMVIOP6Nfd16INzzFngHmptLRBxq0+HzPP15EpcLSqnh6ca0\nwW0ZEFPNftkT+V//+f4dEBDgkP+mKafAUlJSOHbsGHFxV+9LExcXx7p16655/qZNm6hRo8ZV5Qf4\nzfJTXFxMTk7OVR9V2onN8N4t9vLj7g1xc2HYApUfESdSYrHx6pqDPLzgZy4XlBIVGsCaMd1UfkQc\nzJQClJaWBkBISMhVj4eGhl75s/909OhRIiIiWL16NR07diQiIoK+ffuyd+/eX32d6dOnExgYeOUj\nPLyK7oVjtdhPd/3PQMg7D3VbwWPfQocHNctLxImcuVTAsPe+58NtJwF4sGsEy57oSuM6NUxOJuJ8\nTClAHh72Wzb/+wiOi4sL1zsjZ7VaOXr0KGvXruXrr78mOTmZHj160K1bN1JTU3/xdSZPnkx2dvaV\nj5SUFMd+IRUhKwUW9IWtswDDXnoe2wTBrc1OJiIO9EVSOv3e2kpSajaBPh788y83MfWeNni5u5kd\nTcQpmVKAwsLCAEhPT7/q8fT09Ote0NywYUPc3Nx4++23CQgIwNPTk2eeeYaQkBBWrVr1i6/j5eVF\nQEDAVR9VyqEv7Ke8UnaAVwAM/dh+2suzilyvJCK/qbDEyuTlexmdkEhusYWbGtVi3dhu9GodbHY0\nEadmSgEKDg4mOjqatWvXXvX4+vXr6dOnzzXP79KlC2A/EvTfvLyccOZNaRF8OQEW3w9F2RDaAUZ+\nB1FDzE4mIg509HwuA97eRsJPKbi4wKgezVj0186E1PQxO5qI0zNtH6BJkyYxY8YMkpOTAVi5ciUb\nNmxg1KhR1zw3IiKCAQMG8Oijj5Kfn4/VamXOnDlcvHiRe+65p6Kjl6+MZPiwJ+z8p33ddQw89BUE\nXbs1gIhUTYZhsHjnGeLmbyP5fB51/Lz49OFOTLirBe5upm7PJlJtmLaZRHx8PDk5OfTv35+8vDxC\nQ0NZs2YNTZs2JTU1lc6dOzNnzhyGDRsG2DdBfPbZZ2nevDk2m42oqCi++eYb6tWrZ9aX4FiGAXsW\nwtoJUFoAvnXsOzo3v9PsZCLiQLlFpTy3Yj+rk+yXAHRrXofZw2Oo6++ER7NFKjHT9gEyQ6XdB6g4\nF758GvYutq8b3waD/wn+9c3LJCIOty81m1EJuzl9qQA3Vxcm9G7ByNuaaIK7yG8oj32AtJ2o2dL3\n2Ce4Z54AFzfoMRluHQ+uuvNDxFkYhsHH20/x+rpDlFoNQmv68FZ8DB0aBZkdTaTaUgEyi2HAjvdg\nwxSwlUJAGAz5EBp1MTuZiDjQ5fwSnlmaxNeHLgDQu3UwM4a2o6avp8nJRKo3FSAz5F+CVU9C8v/u\net2yP9wzD3z126CIM/npZCZjFyVyNrsITzdXnuvXir90aaQhpiKVgApQRTu1HZY9Crnp4OYJd02D\nmx/Vjs4iTsRqM3jn22PM+ToZmwGN69RgXnwsUaEaWyNSWagAVRSbFb6bCVteB8MGtZvZJ7g3aGd2\nMhFxoAs5RYxbvIfvj18CYHBsKC8PjMLPSz9uRSoTfUdWhJx0WPYYnN5mX0ePgL7/AC8/c3OJiENt\nSc5g/OI9XMovwcfDjVcGRjG0Q5jZsUTkOlSAylvyeljxOBRmgkcN6D8Hou81O5WIOFCp1cbMDUd4\nf8sJAFrW92f+iPY0q6dfckQqKxWg8mIpga+nwo9v29f129lPedVpZmosEXGslMwCxixKJPFMFgD3\nd27I8/1a4+2hrSxEKjMVoPJw6TgsfRjO7rGvOz0BvV4Cd+30KuJMvtp/lolL95JTZMHf250ZQ9px\nd9sGZscSkTJQAXK0vUtgzTgoyQOfWjDgHWjZ1+xUIuJARaVWpq09xP/8cBqAmPCazIuPJTzIxB3l\nReR3UQFylJJ8WDcREj+zrxt2tW9sGBhqbi4RcajjGXmMWpjIobM5AIzs3oQJvVvgoSGmIlWKCpAj\nnNtvH2dxMRlwge4T4baJ4Kb/vSLOZNmuVKas2k9BiZXaNTyZNTya21s4yUBmkWpG79B/hGHAzx/B\nV38HazH4N7APMW3czexkIuJA+cUWpqzaz/LdaQB0aVKbN++LITjA2+RkInKjVIBuVOFlWD0GDq22\nr5v3hoHvQo065uYSEYc6mJ7DqITdnMjIx9UFxt0ZyZM9muGmCe4iVdrvOmmdmZlJfn7+NY8nJycz\nZMgQh4Wq9FJ+gvdus5cfVw/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7Tl9mTEIiaVmFeLi58OzdrXj4lghNcBcRqSAqQCIVyGYz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\nqyMFkBBCCCFaHSmAhBBCCNHq/H+xpEN1+K/GqgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff757cc56a0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "NXCDMWSG--iN",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"(テキストの通りのパラメータではテキストのような結果になりませんでした)\n",
"\n",
"- どのgammaでも精度は同じだが、AUCは異なる。\n",
"- gamma=0.01の場合は、AUCがほぼ1なので、しきい値を調整すればほとんど確実に分類ができる判別機を作れる。\n",
" - AUCが高いモデルの力を引き出すにはしきい値の調整をしなければならない場合があることに注意。\n",
" \n",
" ### 5.3.3 多クラス分類の基準\n",
" \n",
" (多クラスが他クラスになっているようだな…)\n",
" \n",
" - 多クラス分類の精度...正確にクラス分類されたものの割合\n",
" - 分布が偏ったデータセットに対してこれが不適切なのは2クラスの場合と一緒。\n",
" - 精度以外の指標として**混同行列**と**クラス分類レポート**が使える。"
]
},
{
"metadata": {
"id": "Hm146DgMBJ8h",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 221
},
"outputId": "23980c7f-e420-49b4-932c-db5ea0f67292"
},
"cell_type": "code",
"source": [
"from sklearn.metrics import accuracy_score, confusion_matrix\n",
"from sklearn.linear_model import LogisticRegression\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" digits.data, digits.target, random_state=0\n",
")\n",
"lr = LogisticRegression().fit(X_train, y_train)\n",
"pred = lr.predict(X_test)\n",
"print(\"精度: {:.3f}\".format(accuracy_score(y_test, pred)))\n",
"print(\"混同行列:\\n{}\".format(confusion_matrix(y_test, pred)))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"精度: 0.953\n",
"混同行列:\n",
"[[37 0 0 0 0 0 0 0 0 0]\n",
" [ 0 39 0 0 0 0 2 0 2 0]\n",
" [ 0 0 41 3 0 0 0 0 0 0]\n",
" [ 0 0 1 43 0 0 0 0 0 1]\n",
" [ 0 0 0 0 38 0 0 0 0 0]\n",
" [ 0 1 0 0 0 47 0 0 0 0]\n",
" [ 0 0 0 0 0 0 52 0 0 0]\n",
" [ 0 1 0 1 1 0 0 45 0 0]\n",
" [ 0 3 1 0 0 0 0 0 43 1]\n",
" [ 0 0 0 1 0 1 0 0 1 44]]\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "x6Da2X7hCS-A",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 451
},
"outputId": "ff0170b0-54d8-491a-ee9f-a2d7fe83b4be"
},
"cell_type": "code",
"source": [
"ax = plt.figure().add_subplot(111)\n",
"img = ax.pcolor(confusion_matrix(y_test, pred), cmap=plt.cm.gray_r)\n",
"img.update_scalarmappable()\n",
"ax.set_xlabel(\"予測ラベル\")\n",
"ax.set_ylabel(\"真ラベル\")\n",
"ax.set_xticks(np.arange(10) + 0.5)\n",
"ax.set_xticklabels(digits.target_names)\n",
"ax.set_yticks(np.arange(10) + 0.5)\n",
"ax.set_yticklabels(digits.target_names)\n",
"ax.set_aspect(1)\n",
"for p, color, value in zip(img.get_paths(), img.get_facecolors(),\n",
" img.get_array()):\n",
" x, y = p.vertices[:-2, :].mean(0)\n",
" if np.mean(color[:3]) > 0.5:\n",
" c = 'k'\n",
" else:\n",
" c = 'w'\n",
" ax.text(x, y, \"%d\" % value, color=c, ha=\"center\", va=\"center\")\n",
"ax.invert_yaxis()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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s2rQJTz75pCQ55HDs7sZMlmEmy8gpk2TFtWLFCgwZMsRsLC0tzW5f6Hf785latcynQKVS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\ncAEAHIVwAQAchXABAByFcAEAHOUbVfkRHmHwUtIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff757657940>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "E66bKNqVEYXt",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- classification_reportを使えば、各クラスに対して適合率、再現率、f-値を計算できる。"
]
},
{
"metadata": {
"id": "uH9dNSNdEfGA",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 272
},
"outputId": "f13347eb-6706-4e3f-c8ed-548dcfc98d94"
},
"cell_type": "code",
"source": [
"print(classification_report(y_test, pred))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
" precision recall f1-score support\n",
"\n",
" 0 1.00 1.00 1.00 37\n",
" 1 0.89 0.91 0.90 43\n",
" 2 0.95 0.93 0.94 44\n",
" 3 0.90 0.96 0.92 45\n",
" 4 0.97 1.00 0.99 38\n",
" 5 0.98 0.98 0.98 48\n",
" 6 0.96 1.00 0.98 52\n",
" 7 1.00 0.94 0.97 48\n",
" 8 0.93 0.90 0.91 48\n",
" 9 0.96 0.94 0.95 47\n",
"\n",
"avg / total 0.95 0.95 0.95 450\n",
"\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "r90Vzz2AEsqb",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- 偏ったデータセットに対する多クラス分類の指標として、\n",
"多クラス版f-値が使われる事がある。次のように計算する。\n",
" - それぞれのクラスに対して、そのクラスを陽性とした場合のf-値を計算する。\n",
" - 計算されたf-値を平均する。平均の方法はいろいろある。\n",
" - macro ... 重みを付けず平均する\n",
" - weighted ... 各クラスの支持度に比例する重みを付けて平均する\n",
" - micro ... 各クラスの偽陽性、偽陰性、真陽性の総数を計算し、ここから適合率、再現率、f-値を計算する。\n",
"\n",
"- microだとサンプル数の多いクラスの成績が重視されるが、macroだと全クラスが平等に扱われるのでサンプル数が少なくとも成績の悪いクラスがあるとスコアが下がるらしい。\n",
" - [マルチラベル分類器の評価指標(Micro-F1/Macro-F1)の振る舞い - Qiita](https://qiita.com/TaskeHAMANO/items/120cabf01b299b8f35ce)\n",
"\n",
"### 5.3.5 評価基準を用いたモデル選択\n",
"\n",
"- AUCでモデル選択したいんだけど…\n",
" - sklearnならできるよ!\n",
" - scoringパラメータに使いたい基準を指定するだけ。\n"
]
},
{
"metadata": {
"id": "cDv6JDqjHmjS",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
},
"outputId": "bb985f64-d1ab-4c97-85d1-9f86577b4a24"
},
"cell_type": "code",
"source": [
"from sklearn.model_selection import cross_val_score\n",
"print(\"デフォルトのスコア: {}\".format(cross_val_score(SVC(), digits.data, digits.target == 9)))\n",
"# scoring=\"accuracy\"としても結果は変わらない\n",
"explicit_accuracy = cross_val_score(SVC(), digits.data, digits.target == 9, scoring=\"accuracy\")\n",
"print(\"精度を使った場合(精度はデフォルト): {}\".format(explicit_accuracy))\n",
"roc_auc = cross_val_score(SVC(), digits.data, digits.target == 9,\n",
"scoring=\"roc_auc\")\n",
"print(\"AUCを使った場合: {}\".format(roc_auc))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"デフォルトのスコア: [0.89983306 0.89983306 0.89983306]\n",
"精度を使った場合(精度はデフォルト): [0.89983306 0.89983306 0.89983306]\n",
"AUCを使った場合: [0.99372294 0.98957947 0.99594929]\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "q_lMEmdfJ1Tp",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- グリッドサーチ時の評価基準も変更できる。"
]
},
{
"metadata": {
"id": "2-CEenA9J-vq",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 102
},
"outputId": "fe0917a6-eb04-4131-9257-890df45f0d5c"
},
"cell_type": "code",
"source": [
"from sklearn.model_selection import GridSearchCV\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
"digits.data, digits.target == 9, random_state=0)\n",
"# 説明の都合上、あまり良くないグリッドを与える\n",
"param_grid = {'gamma': [0.0001, 0.01, 0.1, 1, 10]}\n",
"# デフォルトのスコア法である精度で評価\n",
"grid = GridSearchCV(SVC(), param_grid=param_grid)\n",
"grid.fit(X_train, y_train)\n",
"print(\"Grid-Search with accuracy\")\n",
"print(\"Best parameters:\", grid.best_params_)\n",
"print(\"Best cross-validation score (accuracy)): {:.3f}\".format(grid.best_score_))\n",
"print(\"Test set AUC: {:.3f}\".format(\n",
"roc_auc_score(y_test, grid.decision_function(X_test))))\n",
"print(\"Test set accuracy: {:.3f}\".format(grid.score(X_test, y_test)))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Grid-Search with accuracy\n",
"Best parameters: {'gamma': 0.0001}\n",
"Best cross-validation score (accuracy)): 0.970\n",
"Test set AUC: 0.992\n",
"Test set accuracy: 0.973\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "uptWr5DnKTXk",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 119
},
"outputId": "42c6ddb0-189f-42a8-8452-b075a5215aa3"
},
"cell_type": "code",
"source": [
"# AUCをスコアに用いる\n",
"grid = GridSearchCV(SVC(), param_grid=param_grid, scoring=\"roc_auc\")\n",
"grid.fit(X_train, y_train)\n",
"print(\"\\nGrid-Search with AUC\")\n",
"print(\"Best parameters:\", grid.best_params_)\n",
"print(\"Best cross-validation score (AUC): {:.3f}\".format(grid.best_score_))\n",
"print(\"Test set AUC: {:.3f}\".format(\n",
"roc_auc_score(y_test, grid.decision_function(X_test))))\n",
"print(\"Test set accuracy: {:.3f}\".format(grid.score(X_test, y_test)))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"\n",
"Grid-Search with AUC\n",
"Best parameters: {'gamma': 0.01}\n",
"Best cross-validation score (AUC): 0.997\n",
"Test set AUC: 1.000\n",
"Test set accuracy: 1.000\n"
],
"name": "stdout"
}
]
}
]
}
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