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社内勉強会で『Python 機械学習プログラミング』 の第 3 章を発表した際の Notebook ファイルです。
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3. 分類学習 -- 機械学習ライブラリ scikit-learn の活用"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Jupyter Notebook 用の設定\n",
"\n",
"matplotlib の描画結果を Jupyter Notebook 内に表示する。"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"マークダウンの table を左寄せで表示する。\n",
"\n",
"参考\n",
"- http://stackoverflow.com/questions/21892570/ipython-notebook-align-table-to-the-left-of-cell"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<style>\n",
"table { margin-left: 0 !important; }\n",
"</style>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"<style>\n",
"table { margin-left: 0 !important; }\n",
"</style>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### この資料の前提事項\n",
"\n",
"教科書は初版第一刷を参照しています。\n",
"\n",
"この notebook を実行した環境は以下のとおりです。\n",
"- Python 3.6.0\n",
"- NumPy 1.11.3\n",
"- SciPy 0.18.1\n",
"- Scikit-learn 0.18.1\n",
"- Matplotlib 2.0.0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.1. 分類アルゴリズムの選択"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2. scikit-learn 活用へのファーストステップ"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.2.1. scikit-learn を使ったパーセプトロンのトレーニング"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Iris データセット\n",
"\n",
"`sklearn.datasets` モジュールを利用して Iris データセットを読み込む。\n",
"\n",
"参考\n",
"- http://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_iris.html"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn import datasets\n",
"import numpy as np\n",
"# Iris データセットをロード\n",
"iris = datasets.load_iris()\n",
"# 3, 4 列目の特徴量を抽出\n",
"X = iris.data[:, [2, 3]]\n",
"# クラスラベルを取得\n",
"y = iris.target"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`load_iris` 関数の戻り値を確認する。"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"dict_keys(['data', 'target', 'target_names', 'DESCR', 'feature_names'])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris.keys()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iris Plants Database\n",
"====================\n",
"\n",
"Notes\n",
"-----\n",
"Data Set Characteristics:\n",
" :Number of Instances: 150 (50 in each of three classes)\n",
" :Number of Attributes: 4 numeric, predictive attributes and the class\n",
" :Attribute Information:\n",
" - sepal length in cm\n",
" - sepal width in cm\n",
" - petal length in cm\n",
" - petal width in cm\n",
" - class:\n",
" - Iris-Setosa\n",
" - Iris-Versicolour\n",
" - Iris-Virginica\n",
" :Summary Statistics:\n",
"\n",
" ============== ==== ==== ======= ===== ====================\n",
" Min Max Mean SD Class Correlation\n",
" ============== ==== ==== ======= ===== ====================\n",
" sepal length: 4.3 7.9 5.84 0.83 0.7826\n",
" sepal width: 2.0 4.4 3.05 0.43 -0.4194\n",
" petal length: 1.0 6.9 3.76 1.76 0.9490 (high!)\n",
" petal width: 0.1 2.5 1.20 0.76 0.9565 (high!)\n",
" ============== ==== ==== ======= ===== ====================\n",
"\n",
" :Missing Attribute Values: None\n",
" :Class Distribution: 33.3% for each of 3 classes.\n",
" :Creator: R.A. Fisher\n",
" :Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\n",
" :Date: July, 1988\n",
"\n",
"This is a copy of UCI ML iris datasets.\n",
"http://archive.ics.uci.edu/ml/datasets/Iris\n",
"\n",
"The famous Iris database, first used by Sir R.A Fisher\n",
"\n",
"This is perhaps the best known database to be found in the\n",
"pattern recognition literature. Fisher's paper is a classic in the field and\n",
"is referenced frequently to this day. (See Duda & Hart, for example.) The\n",
"data set contains 3 classes of 50 instances each, where each class refers to a\n",
"type of iris plant. One class is linearly separable from the other 2; the\n",
"latter are NOT linearly separable from each other.\n",
"\n",
"References\n",
"----------\n",
" - Fisher,R.A. \"The use of multiple measurements in taxonomic problems\"\n",
" Annual Eugenics, 7, Part II, 179-188 (1936); also in \"Contributions to\n",
" Mathematical Statistics\" (John Wiley, NY, 1950).\n",
" - Duda,R.O., & Hart,P.E. (1973) Pattern Classification and Scene Analysis.\n",
" (Q327.D83) John Wiley & Sons. ISBN 0-471-22361-1. See page 218.\n",
" - Dasarathy, B.V. (1980) \"Nosing Around the Neighborhood: A New System\n",
" Structure and Classification Rule for Recognition in Partially Exposed\n",
" Environments\". IEEE Transactions on Pattern Analysis and Machine\n",
" Intelligence, Vol. PAMI-2, No. 1, 67-71.\n",
" - Gates, G.W. (1972) \"The Reduced Nearest Neighbor Rule\". IEEE Transactions\n",
" on Information Theory, May 1972, 431-433.\n",
" - See also: 1988 MLC Proceedings, 54-64. Cheeseman et al\"s AUTOCLASS II\n",
" conceptual clustering system finds 3 classes in the data.\n",
" - Many, many more ...\n",
"\n"
]
}
],
"source": [
"print(iris['DESCR'])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"['sepal length (cm)',\n",
" 'sepal width (cm)',\n",
" 'petal length (cm)',\n",
" 'petal width (cm)']"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris['feature_names']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"各特徴量の意味は以下のとおり。\n",
"\n",
"| index | feature_names | 日本語 |\n",
"|------:|:------------------|:------------------|\n",
"| 0 | sepal length (cm) | がく片の長さ (cm) |\n",
"| 1 | sepal width (cm) | がく片の幅 (cm) |\n",
"| 2 | petal length (cm) | 花びらの長さ (cm) |\n",
"| 3 | petal width (cm) | 花びらの幅 (cm) |\n",
"\n",
"- `X = iris.data[:, [2, 3]]` で「花びらの長さ」と「花びらの幅」を利用する (教科書の記述は誤り)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 5.1, 3.5, 1.4, 0.2],\n",
" [ 4.9, 3. , 1.4, 0.2],\n",
" [ 4.7, 3.2, 1.3, 0.2]])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 先頭の 3 データの特徴量を表示\n",
"iris['data'][0:3, :]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array(['setosa', 'versicolor', 'virginica'], \n",
" dtype='<U10')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris['target_names']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- `target_names` は何故か numpy の配列になっている\n",
"- dtype の記述は little-endian, unicode, 10 characters という意味\n",
"\n",
"参考\n",
"- https://docs.scipy.org/doc/numpy/reference/arrays.dtypes.html"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([0, 0, 0])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 先頭の 3 データのラベルを表示\n",
"iris['target'][0:3]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Class labels: [0 1 2]\n"
]
}
],
"source": [
"print(\"Class labels:\", np.unique(y))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"| target | target_names |\n",
"|-------:|:-------------|\n",
"| 0 | setosa |\n",
"| 1 | versicolor |\n",
"| 2 | virginica |"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"データセットをプロットして確認する。"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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p1BmkIkENQah4/jGv8ba9hxZERXJT4tVH6Gwkd0KtvGZmXYEhwcNX3T1vww10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\nUlIQEZEoJQUREYlSUhARkaj/D/PXZ/zo191HAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x893c198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"for t in np.unique(iris['target']):\n",
" plt.scatter(iris['data'][iris['target']==t, 2], iris['data'][iris['target']==t, 3], label=iris['target_names'][t])\n",
"plt.xlabel('Petal length')\n",
"plt.ylabel('Petal width')\n",
"plt.title('Iris Plants Database')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### データセットの分割\n",
"\n",
"データセットをトレーニングデータとテストデータに分割する。\n",
"\n",
"参考\n",
"- http://scikit-learn.org/stable/modules/generated/sklearn.model_selection.train_test_split.html"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.model_selection import train_test_split\n",
"# トレーニングデータとテストデータに分割\n",
"# 全体の 30% をテストデータにする\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- scikit-learn 0.18 以降では `sklearn.model_selection` モジュールに `train_test_split` 関数が存在する (教科書の記述は古い)\n",
"\n",
"教科書どおりに `sklearn.cross_validation` モジュールを使うと下記の警告が表示される。\n",
"```\n",
"C:\\Users\\Uchiyama\\Anaconda3\\envs\\py36\\lib\\site-packages\\sklearn\\cross_validation.py:44: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n",
" \"This module will be removed in 0.20.\", DeprecationWarning)\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"トレーニングデータとテストデータに分割された様子をプロットして確認する。"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ceeaZjBkzhsMOOwyADRs20L9/7ju/d999d0k1i2TBuMPGxfLCHNe40qmUU8opESlRGvIw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\nIRIRERERkcz6//uRxlBdnFjvAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8ce94e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_iris_dataset(X, y, kind):\n",
" for t in np.unique(iris['target']):\n",
" plt.scatter(X[y==t, 0], X[y==t, 1], label=iris['target_names'][t])\n",
" plt.xlabel('Petal length')\n",
" plt.ylabel('Petal width')\n",
" plt.title('Iris Plants Database (%s)' % kind)\n",
" plt.legend()\n",
"\n",
"plt.figure(figsize=(14, 4))\n",
"plt.subplot('121')\n",
"plot_iris_dataset(X_train, y_train, 'train')\n",
"plt.subplot('122')\n",
"plot_iris_dataset(X_test, y_test, 'test')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"データ数を確認する。\n",
"\n",
"参考\n",
"- https://docs.python.jp/3/library/collections.html"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Training data:\t [(0, 34), (1, 32), (2, 39)]\n",
"Test data:\t [(0, 16), (1, 18), (2, 11)]\n"
]
}
],
"source": [
"from collections import Counter\n",
"\n",
"print('Training data:\\t', sorted(Counter(y_train).items()))\n",
"print('Test data:\\t', sorted(Counter(y_test).items()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### データの標準化\n",
"\n",
"トレーニングデータの平均と標準偏差を計算してデータを標準化する。\n",
"\n",
"参考\n",
"- http://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.StandardScaler.html"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.preprocessing import StandardScaler\n",
"sc = StandardScaler()\n",
"# トレーニングデータの平均と標準偏差を計算\n",
"sc.fit(X_train)\n",
"# 平均と標準偏差を用いて標準化\n",
"X_train_std = sc.transform(X_train)\n",
"X_test_std = sc.transform(X_test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"標準化された様子をプロットして確認する。"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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qq61YunQphxxyCM888wy9e6fjSoCGa5W0KORvNWpeoKjl01KvIo2xaVjxeMpT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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8cd7be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(14, 4))\n",
"plt.subplot('121')\n",
"plot_iris_dataset(X_train_std, y_train, 'train, standardized')\n",
"plt.subplot('122')\n",
"plot_iris_dataset(X_test_std, y_test, 'test, standardized')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"標準化されたデータの平均と標準偏差を確認する。"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Training data:\tmean = -0.000000, std = 1.000000\n",
"Test data:\tmean = -0.124878, std = 0.920827\n"
]
}
],
"source": [
"print('Training data:\\tmean = %f, std = %f' % (np.mean(X_train_std), np.std(X_train_std)))\n",
"print('Test data:\\tmean = %f, std = %f' % (np.mean(X_test_std), np.std(X_test_std)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- テストデータの平均と標準偏差は平均 0, 標準偏差 1 にはならない\n",
"- これはトレーニングデータの平均と標準偏差を用いて標準化しているからで、正しい挙動である"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### パーセプトロンによる Iris データセットの学習と分類\n",
"\n",
"参考\n",
"- http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Perceptron.html\n",
"- http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.SGDClassifier.html\n",
"- http://scikit-learn.org/stable/modules/linear_model.html#perceptron\n",
"\n",
"まずは教科書の説明どおりに実験する。"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Perceptron(alpha=0.0001, class_weight=None, eta0=0.1, fit_intercept=True,\n",
" n_iter=40, n_jobs=1, penalty=None, random_state=0, shuffle=True,\n",
" verbose=0, warm_start=False)"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.linear_model import Perceptron\n",
"# エポック数 40, 学習率 0.1 でパーセプトロンのインスタンスを生成\n",
"ppn = Perceptron(n_iter=40, eta0=0.1, random_state=0, shuffle=True)\n",
"# トレーニングデータをモデルに適合させる\n",
"ppn.fit(X_train_std, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Misclassified samples: 4\n"
]
}
],
"source": [
"# テストデータで予測を実施\n",
"y_pred = ppn.predict(X_test_std)\n",
"# 誤分類のサンプルの個数を表示\n",
"print('Misclassified samples: %d' % (y_test != y_pred).sum())"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy: 0.91\n"
]
}
],
"source": [
"from sklearn.metrics import accuracy_score\n",
"# 分類の正解率を表示\n",
"print('Accuracy: %.2f' % accuracy_score(y_test, y_pred))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from matplotlib.colors import ListedColormap\n",
"import matplotlib.pyplot as plt\n",
"\n",
"def plot_decision_regions(X, y, classifier, test_idx=None, resolution=0.02):\n",
"\n",
" # マーカーとカラーマップの準備\n",
" markers = ('s', 'x', 'o', '^', 'v')\n",
" colors = ('red', 'blue', 'lightgreen', 'gray', 'cyan')\n",
" cmap = ListedColormap(colors[:len(np.unique(y))])\n",
"\n",
" # 決定領域のプロット\n",
" x1_min, x1_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
" x2_min, x2_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
" # グリッドポイントの生成\n",
" xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution), np.arange(x2_min, x2_max, resolution))\n",
" # 各特長量を 1 次元配列に変換して予測を実行\n",
" Z = classifier.predict(np.array([xx1.ravel(), xx2.ravel()]).T)\n",
" # 予測結果を元のグリッドポイントのデータサイズに変換\n",
" Z = Z.reshape(xx1.shape)\n",
" # グリッドポイントの等高線のプロット\n",
" plt.contourf(xx1, xx2, Z, alpha=0.4, cmap=cmap)\n",
" # 軸の範囲の設定\n",
" plt.xlim(xx1.min(), xx1.max())\n",
" plt.ylim(xx2.min(), xx2.max())\n",
"\n",
" # クラスごとにサンプルをプロット\n",
" for idx, cl in enumerate(np.unique(y)):\n",
" plt.scatter(x=X[y == cl, 0], y=X[y == cl, 1], alpha=0.8, c=cmap(idx), marker=markers[idx], label=cl)\n",
" \n",
" # テストサンプルを目立たせる (点を○で表示)\n",
" if test_idx:\n",
" X_test, y_test = X[test_idx, :], y[test_idx]\n",
" plt.scatter(X_test[:, 0], X_test[:, 1], c='', alpha=1.0, linewidths=1, marker='o', s=55, label='test set')"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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CIejTBz79tOlz/n5UXTBYtswtn/LnZ+g/aA8HFeeiRZ+CeP37moNUH4SG6tm1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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8cd79b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# トレーニングデータとテストデータの特徴量を行方向に結合\n",
"X_combined_std = np.vstack((X_train_std, X_test_std))\n",
"# トレーニングデータとテストデータのクラスラベルを結合\n",
"y_combined = np.hstack((y_train, y_test))\n",
"# 決定境界のプロット\n",
"plot_decision_regions(X=X_combined_std, y=y_combined, classifier=ppn, test_idx=range(105, 150))\n",
"# 軸のラベルの設定\n",
"plt.xlabel('petal length [standardized]')\n",
"plt.ylabel('petal width [standardized]')\n",
"# 凡例の設定 (左上に配置)\n",
"plt.legend(loc='upper left')\n",
"# グラフを表示\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- matplotlib 2.0 でデフォルトの見え方が変わったため、教科書に記載されている出力と見映えが異なる"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### やりなおし\n",
"\n",
"このあたり教科書が少し間違っている\n",
"\n",
"- 教科書 150 ページの脚注に eta0 のデフォルトが 0.0001 であると書かれているが、これは誤り\n",
"- eta0 のデフォルトは 1.0\n",
"- alpha のデフォルトが 0.0001\n",
"- alpha は penalty パラメータを指定 (デフォルトは None) した場合に使われる\n",
"\n",
"そもそもパーセプトロンでは学習率を設定する必要はない\n",
"- 「適切な学習率を割り出すには・・・」という記述はパーセプトロンに関しては間違い"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Misclassified samples: 4\n",
"Accuracy: 0.91\n"
]
}
],
"source": [
"ppn = Perceptron(n_iter=40, random_state=0, shuffle=True)\n",
"\n",
"ppn.fit(X_train_std, y_train)\n",
"y_pred = ppn.predict(X_test_std)\n",
"print('Misclassified samples: %d' % (y_test != y_pred).sum())\n",
"print('Accuracy: %.2f' % accuracy_score(y_test, y_pred))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"決定領域をプロットする。"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot_decision_regions_new(X, y, classifier, resolution=0.01):\n",
" # カラーマップの準備\n",
" cmap = ListedColormap(['blue', 'orange', 'green'])\n",
" # グリッドポイントの生成\n",
" x1_min, x1_max = plt.xlim()\n",
" x2_min, x2_max = plt.ylim()\n",
" xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution), np.arange(x2_min, x2_max, resolution))\n",
" # 各特徴量を 1 次元配列に変換して予測を実行\n",
" Z = classifier.predict(np.array([xx1.ravel(), xx2.ravel()]).T)\n",
" # 予測結果を元のグリッドポイントのデータサイズに変換\n",
" Z = Z.reshape(xx1.shape)\n",
" # グリッドポイントの等高線のプロット\n",
" plt.contourf(xx1, xx2, Z, alpha=0.2, cmap=cmap)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot_data_and_decision_regions(classifier):\n",
" plt.figure(figsize=(14, 4))\n",
" plt.subplot('121')\n",
" plot_iris_dataset(X_train_std, y_train, 'train, standardized')\n",
" plot_decision_regions_new(X_train_std, y_test, classifier)\n",
" plt.subplot('122')\n",
" plot_iris_dataset(X_test_std, y_test, 'test, standardized')\n",
" plot_decision_regions_new(X_test_std, y_test, classifier)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
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JvoLZkif56/Ty4exZMpRZ82aqTpO0ybIty1iwdgG763bTo3MPrhx0JWNKxoS2XREpPFeV\nz2bWE5OZNW8m069WnJPckuvxsGBWmHLJ/Pl/Ytu2rUF3I6dMmDhDKcelTZZtWcac1XOoravF4ait\nq2XO6jks27IslO2KhIHiVDCmn7sQ0PY8yS35EA81YAohBaK2iaQcf3rpoqC7IjlkwdoFHDh4oNGx\nAwcPsGDtglC2KxIGilPBmX6ud0/TrHkzNUEoOSEf4qEGTHH8bc0Wyn+9hFNvf5TyXy/hb2u2pNTe\nhx9+yCWXnM/o0UM544xTWbjwPlaurOK888YxZsxwLrzwPLZv38ZDDy1k5cqX+frXv8yZZ55GXV0d\nTz31d846axgjRw7m+uv/mY8//hiAW2/9PsOHlzFq1BBuuWU6AJWVjzB+/CjOOmsYF1xQzo4dO1L+\nLHJJ/3FTGgKJEkFIInbX7U7qeNDtikQoThWu6ecuZHjxUB6tXKRBk4RePsRDDZhi+NuaLfzo0TVs\n21OHA7btqeNHj65JKRg9+eRjHHdcX154YRUvvfQq55zzOaZP/ybz5y9k2bIqrrrqn/nxj3/ARRdN\nZtiwEfz+939h+fJXMDOuu+6rzJt3Hy++uIb6+nrmzp3N7t27eeSRh3j55df4xz9W86//+kMAzjxz\nDE899QLPP7+SyZOv4Fe/+vc0fSq5Y/q5C5UIQhLWo3OPpI4H3a4IKE6JtxV9ePFQ7aqQ0MuHeKgB\nUwy/eup19n9ysNGx/Z8c5FdPvd7mNk85ZTBLljzJjBnf47nnnmXz5neorn6VL37xHM488zT+/d9/\nypYtm5u97s03X+eEEwYwcOCnAfjSl65m2bJn6NatGx07duKGG77Oww8/SJcuXQDYsmUzF154HiNH\nDuaOO35JTc1rbe5zLoukHFeVdGnNlYOupENRh0bHOhR14MpBV4ayXRFQnBLPhIkztKtCQi8f4qEG\nTDFs31OX1PFEDBz4aZYtW8EppwzmJz/5IQ8//AClpaewfPkrLF/+Ci++uIa//vWJhNsrLi5m6dIX\nmTRpMo899jcmTfocANOnf5Nrr72RF19cwx13zGH//tyvQ9FWI0pmU12N0rBKi8aUjOHaIdfSs3NP\nDKNn555cO+TalLP3ZKpdEVCcksOid1Voe56EUT7EQ6UVj6FPt85sixF0+nTr3OY2t23bytFHH8MV\nV0yhW7fu/O53v6W2dhf/+MdyRo06k08++YQ333yDsrJTOPLII9m7dy8AAweezKZNG3nrrXX80z99\ninvvvYcxY8axb98+PvroI847r4LRo89m8OCTAPjggz307VsCwP/8z7w29zcflJZCaelCnlpyO/Mf\nn8mU85SGVWIbUzImI1/cmWpXRHFKop1ePpyeSyfx6NJFlE4uDbo7Is3kejwMdMBkZn8ALgB2OudO\njfH8eOBhYIN/6EHn3E8y3a+bJpzMjx5d02i7Q6f2Rdw04eQ2t/naa2v4wQ/+H+3ataN9+/b86lez\nKS4uZvr0b/HBB3uor6/nG9+4ibKyU/jyl7/KTTddR6dOnVmyZDmzZ/+Rq666lPr6eoYPP4OpU6/j\nvffe5fLLL2T//v0455g58z8BuOWW27jqqkvp3v1oxo2byMaNG1rpWf6bMHFGQ+2KsrOGUjGwIugu\nSUDmrpnL4k2Lcc5hZpT3L2fq4KlBd0tCTHFKcSpX9B83hQ+fWKSahDku1+sV5StzzgV3cbPPAPuA\nP7cQiKY75y5Ipt2yshHunntebnSsuLiGT30q8VmXv63Zwq+eep3te+ro060zN004mQsGlyTTjby2\nbl0N9fW5NYu1ael8Hi1exPWTFUQK0dw1c3ny7SebHT/nhHM0aMqQESUjqpxzI4LuRyoUp3JXLsap\ndKishOriyZxfMYnSXoX3/nNZpF5RdAruDkUdcm77Wi5JNE4FusLknHvGzE4Msg/xXDC4RIEnz0Rm\n3ypXz6ViiP6BXGgWb1oc97gGTBKP4pTkmooKOHXpJO6vXMTTR2iSMJe0VK9IA6Zg5ULSh7PMbLWZ\n/Z+ZnRJ0ZyS3ldUvpHrlLiWCKEDxVtODXGWXvKE4JaHSf9yUhgK3yhabO/KhXlG+CvuAaQXQ3zk3\nBPhvIG6xATO7xsxeNrOX33tP9XcktooKL6OQUo4XHjNL6rhIghSnJLTK6hdSXY2y5+WIfKhXlK9C\nPWByzn3gnNvn/1wJtDeznnHOvds5N8I5N+Loo3tltZ+SeyIpx1W3onCU9y9P6rhIIhSnJMwqKuCy\njpN4tHIRsxdqkjDs8qFeUb4K9YDJzPqYP/1rZiPx+qt1SUlZaakXRKpX7mL+4woihWDq4Kmcc8I5\nDStKZqaED5IyxSkJu8j2vK512lkRdvlQryhfBZ1WfAEwHuhpZpuBHwHtAZxzdwGTgevNrB6oA65w\nuuFA0qT/uClMZwqznpisRBAFYurgqRogSVIUpyRf9Dgwm+rqydC9UuU1QizX6xXlq6Cz5LW4xuic\nuxO4M0vdyTm3334rY8Z8hgkTkttS9MwzT/PrX89i4cK/ZahnuWViu5tZsnImoEFTWMSrQxHrOJBy\nzYpk6l5k6twwyLX+ZoPiVGoUp8KjIXve84t4e9UqZc8LKX0Ph1OgAyZpnXMO5xzt2jXfPTljRsZr\nIwJQX19PcXH+/qcSqZB+/8pFaNAUvKZ1KGrrapmzeg5r313L0s1LGx2fvWo2zjkOuoONzgUSDjDx\nrherjUydGwa51l8JD8Wp3KGdFeGm7+HwCvU9TEEqqr6fznNOpcsvu9N5zqkUVd+fUnu33vp95sz5\nTcPjn/3sNu64Yxa/+tUv+cxnzmDUqCH89Kc/AuDttzcybNjJTJv2Fc4441Q2b36Ha6/9KmeccSoj\nRw7mzjv/C4Brr/0qDz20EICqqpf47GfPYvTooYwbN5K9e/eyf/9+rrvua4wcOZizzhrG0qVPNevX\nu+++yxVXTGLUqCFMmDCaV19d3dC/qVOvorz8bKZOvSql954L+o+b0pByXIkgghWvDsXiTYubHa8/\nVN8wWIo+d8HaBSlfL1YbmTo3DHKtv6I4VWhxKp0a4p3uaQoVfQ+HlwZMMRRV30/Hx79Fuw/ewXC0\n++AdOj7+rZSC0SWXXM6DDx5+/YMP3k/Pnr1Yt+5Nli59keXLX+GVV6pYtuwZANate5Np027g5Zdf\nY/fuWrZu3cJLL73Kiy+uYcqUrzVq+8CBA1x99eX8+7/fwQsvrOKRRxbTuXNn7r77N5gZL764hj/+\ncQHXXns1+/fvb/Tan/3sRwwZMox//GM1P/rRz5k27SsNz61dW80jjyzmT38qjP9RI9mEFESCFa/e\nRDK3hSRTsyKZuheZOjcMcq2/hU5xylNocSpdKiq87ejV1Sh7Xojoezi8NGCKocOzP8Hq6xods/o6\nOjzb9q0FQ4cOY9eunWzbtpU1a1Zx9NFH89pra1iy5AnOOmsYZ599Om+8sZa33noTgP79T2DkyNEA\nnHjiSWzcuJ7vfvebPPnkYxx11FGN2n7jjdfp0+c4hg8/A4CjjjqK4uJinn9+GZdfPgWAk08exPHH\nn8C6dW80eu3y5cu48kpvZm78+Im8++5uPvjgAwAqKr5I586d2/yec1H/cVM4/3ivbkXlm5VBd6cg\nxas3kUy9pGRqViRT9yJT54ZBrvW30ClOFW6cSpfTy4c3FLdVtthw0PdweGnAFIN9sDmp44m66KJL\neeihhTzwwH1cfPHlOOf47ndvZvnyV1i+/BVWr17H1Vd/HYAuXY5oeN3RRx/N8uWrGDt2PL///V18\n4xvZ2XN8xBFHtH5SHmpIOf78Kg2aAhCvDkV5//Jmx4vbFVNkRc3OTaZmRTJ1LzJ1bhjkWn8LneKU\np1DjVDqV1S9k+3aYNW+mCtwGTN/D4aUBUwzuqH5JHU/UJZdczgMP3MuiRQu5+OJLKS8/j3vu+QP7\n9u0DYOvWLezcubPZ62prazl06BCTJl3CjBk/5ZVXVjR6/tOfPpnt27dRVfUSAHv37qW+vp6zzx7L\n/ff/BYA333yDzZs3MXDgyY1ee9ZZY7nvPu+cZ555mh49ejabGSxE/cdN0aApIPHqUEwdPLXZ8euH\nXs8Np92QUs2KZOpeZOrcMMi1/hY6xSnFqXSpqIDp5y7kso6TeHrpoqC7U9D0PRxeSikTw4Gxt9Lx\n8W812u7gijtzYOytKbVbVnYKe/fu5bjjSujT5zj69DmOtWtrmDjxTAC6du3K3LnzKSpqPGO+bdsW\nrrvuaxw6dAiAH/+48dJ5hw4dmDfvPqZP/yZ1dXV07tyZRx5ZzLRpN3DTTdczcuRgiouLueuuP9Gx\nY8dGr73lltu44YZ/ZtSoIXTp0oW7756X0nvMJ/3HTWHi4lKWPO993qpbkT3x6lC0dDwT18vmuWGQ\na/0tZIpTkm79x03hwycWMWveTKZfrZTjQdH3cDhZPtbXKysb4e655+VGx4qLa/jUp0oTbqOo+n5v\nj/gHm3FH9ePA2Fs5WHZZuruas9atq6G+PvHPM5c9teR2qupXUXbWUA2aCki+1MII8n2MKBlR5Zwb\nkZWL5RjFqcwrpDiVTrOemAzA+RWTKO2lz69Q5EvMS1aicUorTHEcLLuMOgUeASZMnAFLbqfq+VUa\nMBWIfKmFkS/vQ2JTnJJMmH7uQjYtnc/9lYugAg2aCoBiRet0D5NIAiZMnEHvdr2YNW+m7mkqAPlS\nCyNf3oeIZFf/cVPo3a4Xj1YuUiKIAqBY0ToNmEQSdFX5bIYXD6X6+VUKIHkuX2ph5Mv7EJHsu6p8\ntgZNBUKxonUaMIkkYcLEGVzWcRKPVi7SSlMey5daGPnyPkQkGFeVzz4c81bPDbo7kiGKFa3TgEkk\nSf3HTWlYadKgKT/lSy2MfHkfIhKchjIbK3dp0JSnFCtapwGTSBtMmDijYdAk+SdfamHky/sQkWD1\nHzeFsvqF3qDppZmtv0ByimJF65QlL0Dbtm1l+vRv8Ze/LEzqdd/4xlRuvPE7lJaWxT1n7ty76NKl\nC1/60ldS7abEMWHiDKqemMyseTOVcjwP5UstjHx5HxIMxSmJqKiAPotvZkn1TGAmFWeoVlM+Uaxo\nmeowhVB9fT3FxeEey6q+xWGROk0q9BeMZGpHxDs3HW0ELYz9Uh2m+BSnMk9xKjMqK6G6eDJlw3pR\nMWRq0N2RJIUxVgQp0TilLXlxPLbpUSZVnsuZC4cwqfJcHtv0aErt3Xrr95kz5zcNj3/2s9u4445Z\nnHHGqQDMn/8nLrvsi1RUTOT88z/LoUOHuOmmGxg2bBBf+MI5XHxxBQ895M3wfe5z41mxwgu0vXt3\n5bbbfsDo0UOZMGE0O3bsaNQ+wFtvreOCC8oZPXooZ599OuvXv8W+ffs4//zPcvbZpzNy5GD+9reH\nU3p/hSyyPU/bFLIvUjuitq4Wh2uoHbFsy7KEz527Zm7KbcQ6N5vC2i/JLMUpCUJFBQ3b82YvVNzL\nJYoVbacBUwyPbXqUX1TdxvaPtuFwbP9oG7+oui2lYHTJJZfz4IP3Nzx+8MH7GTFiVKNzXnllBfPn\nL+Txx5fy8MMPsmnTRqqqqpk79x5efHF5zHY//PBDRo4czQsvrOLssz/Dn/70u2bnfP3rX+aaa77B\nCy+s4u9/f54+fY6jU6dOLFjwEM89t4LKyqe45Zbvko+rjdnS57gZVFfDrHkzlX41i5KpHRHv3MWb\nFqfcRtC1KsLaL8kcxSkJUkUFnH/8Qj78EA2acohiRdtpwBTDXa/ewf6D+xsd239wP3e9ekeb2xw6\ndBi7du1k27atrFmziqOPPpp+/Y5vdM7EiedwzDHHALB8+TIuuuhS2rVrR+/efRg7dkLMdjt06MDn\nP38BAKedNpxNmzY2en7v3r1s3bqFL37xIgA6depEly5dcM5x2223MGrUEL7whXK2bt3Czp072vz+\nCl1pqVcdfXjxUJ5euijo7hSMZGpHxDs33j/Akmkj6FoVYe2XZI7ilAQtEvc+/BBlz8sRihVtpwFT\nDDs+2p7U8URddNGlPPTQQh544D4uvvjyZs936XJE0m22b98eMwOgqKiI+vr6hF53331/obZ2F8uW\nVbF8+Ssce2xv9u/f3/oLpUUTJs7wgofSjWdFMrUj4p0b+f8nlTaCrlUR1n5J5ihOSVhEtufNmqeV\nprBTrGhr6Y9wAAAgAElEQVQ7DZhi6N2lT1LHE3XJJZfzwAP3smjRQi6++NIWzx09+mwefvgBDh06\nxI4dO1i27Ok2XfPII4+kpKQfjzzirXp8/PHHfPTRR+zZs4devY6lffv2LF36FJs2vd2m9qW5ie1u\npvr5VQoeWZBM7Yh455b3L0+5jaBrVYS1X5I5ilMSFhUV3koTaHte2ClWtJ0GTDFcd+q36VTUqdGx\nTkWduO7Ub6fUblnZKezdu5fjjiuhT5/jWjx30qRL6Nu3H8OHlzF16hSGDj2dbt26tem6v/vdPcye\n/WtGjRrCZz97Fjt2bOfyy7/MypUvM3LkYBYs+DOf/vSgNrUtzZ1ePpzp5y6kd7te2qaQYcnUjoh3\n7tTBU1NuI+gMQ2Htl2SO4pSEjbbnhZ9iRdsprXgcj216lLtevYMdH22nd5c+XHfqt/lc//PT3dUW\n7du3j65du7J7927Gjx/J4sXP0bt3arOH6aJ0ra2LpF4FlHJcCpLSisenOJV5ilPZFx33zq+YRGkv\nff4SbonGqUCLKJjZH4ALgJ3OuVNjPG/AHUAF8BHwVefcimz07XP9z8964Glq8uQL2LPnfQ4cOMD3\nvjcjNEFIElNRARUs5J7F1zP/8ZlMOU+DJpFcozjVMsUpiRaJe08tuZ2nly6idLIGTJIfgq469yfg\nTuDPcZ7/PDDQ/zMKmO3/XRAee+zpoLsgaTCiZDaPvjOZml01BT3bFqtYHpByIdl8lo7PQZ9lyv6E\n4lRcilMSy4SJM6h6YjKz5s0s+AK3+g7OD4EOmJxzz5jZiS2cciHwZ+ftG3zBzLqb2XHOuW3JX8tL\nHxwvI5YkzjlHHu7kzJjSUjhi5yTur1zE00cs4vrJhbfSFCmWF6n/UFtXy+xVs3HOcdAdbDg2Z/Uc\n1r67lqWblzY6d87qOQAFFWRifWbJfg7paKPQKU7lJsWp4E0/dyErFlexZOVMBhxXmBOG+g7OH2FP\n+lACvBP1eLN/rBkzu8bMXjazl997b1ez553rxJ49u1X0LkXOOf9z7NT6ydKg/7gph2+ILcCU47GK\n5dUfqm8YLEUkW0g2n6WjwKCKFGaF4lTIKE6Fx+nlw7ms46SCrU+o7+D8EfSWvLRxzt0N3A3ezbRN\nnz90qB87d25m165daPKu7bwZ0E4cOtQv6K7kpIntbmbJ8zMZ0H1AQc22JVMUL5lCsvksHQUGVaQw\nXBSnskNxKlz6j5vCh08sKsjtefoOzh9hHzBtAaLLjPfzj7VBew4dGpCGLom03enlw3ltcS8erVzE\nhrJFVJxRGNvzenTuQW1dbULnmlnMQVOhFdaL95kl8zmkow1pleKUSCumn7vQy6C3cnJBbc/Td3D+\nCPuWvL8CXzHPaGBPW/aFi4TJVeWzvcro1VCzqybo7mRFrGJ5xe2KKbKiRseSLSSbz9JRYFBFCrNC\ncUokARUVMLx4aEFtz9N3cP4IOq34AmA80NPMNgM/AtoDOOfuAirxUrWuw0vX+rVgeiqSXhUV0HnJ\nUB6tXAQV5P1sW+Tm1kSz5A06ZlDBZxWK95kl8zmko41Cpzglkj6Flj1P38H5o2AK14qE0T2Lr2fH\noV0q8Cd5SYVr41OckkIWKXCr2CdBy4nCtSKF7qry2WxaOp/7C2ClKVYtirXvrmXxpsUNqZTL+5cz\ndXD8Gcdcq2eRa/0VEcmG6F0WhVpuQ3JL2O9hEsl7/cdNoXc7LxFE5eq5QXcnIyK1KGrranE4autq\nuXPlnTz59pMNCR6cczz59pPMXRP7M4jVxpzVc1i2ZVk230rCcq2/IiLZNGHijMPlNvI09kn+0IBJ\nJASuKp/NxHY3U72yeW2WfBCrFoUj9nbgxZsWJ9xGmOtZ5Fp/RUSCUFa/kOqVuwqyRqHkDg2YRELi\n9PLh9G7Xi1nzZgbdlbTLZB2msNazyLX+iogEIZI9r/r5VcxemH/xT/KDBkwiIXJV+ey8HDQlU3PC\n4lTsjNdGWOtZ5Fp/RUSCou15EnYaMImEzFXlsxlePDSvBk2xalEYsQdG5f3LE24jzPUscq2/IiJB\na9ie91L+xD/JDxowiYTQhIkzAPJm0DSmZAzXDrmWnp17Yhg9O/fkxmE3cs4J5zSsKJkZ55xwTtws\nebHauHbItaHNOpdr/RURCVpFBd79vNVoe56EiuowiYTYrCcmc8QRKOWq5CTVYYpPcUqkZbOemEyf\nPjDlPMU/yRzVYRLJA9PPXcgsvyr69KvDFzSWVc1mwZan2G3Qw8GVJROgz+CEaw9lsk5RrLYh8Yrr\nyfRN9ZZERNKrrH4h1dsnM3vhzJyYNIwXB8IWH8LWn2QF1X+tMInkgFlPTAYI1aBpWdVs5mx9igNR\nSRqKncNZOw5GpQzvUNQh5la0SJ2i6NTb8c5Num8x2i6yIsyM+kP1ae1bJt9HrtMKU3yKUyKtq6mB\nR98J/06LeHFgXL9xLN28NDTxIdfjVSb6n2ic0j1MIjlg+rkLQ5c9b8GWxoMlgHqzRoMliF97KJN1\nimK1fdAdbDRYSlffVG9JRCQzSktpyJ4XpvjXVLw4sHjT4lDFh1yPV0H2XwMmkRxxVflsIDxBY3fs\nJHexz41ReyiTdYqSaSPVvqnekohIZk0/dyEQnvjXVLzv+2TrCmZarserIPuvAZNIDimr91aaKl+a\nSeXquYFWRu+RxG7eWLWHMlmnKJk2Uu2b6i2JiGReZKdFGOJfU/G+75OtK5hpuR6vguy/BkwiOaRP\nhyp+NW0qM4ZMYsbJZ8P7q7zgEUDNiitLJtChyexZsXMUNamvFK/2UCbrFMVqu8iKKG7XOM9NOvqm\neksiIpm3YnEVpzCVGWNvbhb/Kt+spGZXTWB9ixcHyvuXhyo+5Hq8CrL/ypInkou6lQIwY6z39/yV\nc71BU8deAFQMiV3LKJ3GDL8eoM1Z8iLHMpHtJl7biV4vmb5l8n2IiMhh06b5P3QrbYh/7Klh/vrn\n2LBxFRs2LoLuQ6kYWJHVfrUUBwYdMyg08SHX41WQ/VeWPJEcUVMDdVuqDgeMWPbUcPvqRQ0PB5w4\nCYDSXqUZ7p1Ic8qSF5/ilEjiEop/QNX6Siq3rGp4rBgorVEdJpE8U7elijGtTaJEzbpVra+ETzZQ\nuWUVG7Y912zVKeu1DN58El76HezbCV2PhTOmwcBzMnc9ERHJCwnFP2D4SRUMP8lbXWoUAzd6E4kD\nTpykwZO0iQZMIjmkNInv+UjQGH5SBbc/G3WfU/eh7PlkD5VvVzak56ytq2XO6jkAmRk0vfkkPPtL\nqP/Ye7xvh/cYNGgSEZFWJRP/oHEMBG/r+oaNi9iw7Tno3Dfr2/Ykt2nAJJIDViyuSun1M8Z6Bf+q\n1ntZhb7/j3voUV8HwLbOxwKHaxlkZMD00u8OD5Yi6j/2jmvAJCIicaQa/yKmDPN2WVStr6Rmz9bD\nk4gde2Xlvl/JbRowieSI1vZuJyIy03bMa38GjuSjfe9C3U7eo5hdtMdIorhSMvbtTO64iIiILx3x\nL2L4SRUMj3rckDQJAkkYIblBAyaRAtSzcw9q62rp0vUYTsFb+Xnu/T10+gQqX5qZ/n3eXY/1tuHF\nOi4iIhKQyMpTJGlS5Ute0ggljJBoGjCJhNyKxVWUlKS3zSsGXcndq+dw4OABNtARgBN79OOaIdfy\n9q61UPsclRsXeWnK07HX+4xpje9hAiju6B0XERGJIV3b8RLSJGlSTe1zbNi3y0sY0bEXA447W4On\nAqYBk0gOqEjzDoGx/bz7lO5du4Daut307NyDKwZdydh+YxqeAxrPuHUfyoDuA9oWMCL3KSlLnoiI\nJKCmBkpK0h//EtF0217V+koqNy4KrM6TBC/QAZOZfQ64AygC5jrnftHk+fHAw8AG/9CDzrmfZLWT\nIgHK5Oxas8FRLP6MW+Qm2YbCgG25SXbgORogSc5RnBKRSLpyJYwoXIENmMysCPgNcA6wGXjJzP7q\nnKtucuqzzrkLst5BkZBI582ujbz5JLwYteIzMv6Kz/CD7Rle/UTDubcf1bMhYORrXYus16mS0FGc\nEglGpFDtgJB95TZdeWpasiMtK0+qWRhKQa4wjQTWOefWA5jZvcCFQNNAJCLp9uaT8EyTukjPxKmL\nFOPcGfvfh0EXUVX0yeFtCnm0x3vZlmXM8e/xgizUqZKwUpwSCUhJSfK1l7ItUrKjacKINm9hV83C\n0Gp1wGRmZwO3ASf45xvgnHMnpXjtEuCdqMebgVExzjvLzFYDW4DpzrnX4vTzGuAagD59+qfYNZHg\nZSLZQ4MX49RFejFGXaQWzh3+5fubFwVMZ7KIgCxYu6BhsBSR0TpVkhLFKZH8EVldIlPxLxOiEkaw\np4b5659rtIU94clE1SwMrURWmH4P/AtQBRzMbHeaWQH0d87tM7MKYBEwMNaJzrm7gbsByspGuOx1\nUSRzMnazazJ1kRI8Nzo1a9XuDVRuWUXlS6tycsve7rrdSR2XwClOieSRoJI9pEW3UqYMOzx4qtq9\noWEnRqupylWzMLQSGTDtcc79XwauvQU4PupxP/9YA+fcB1E/V5rZb82sp3OuNgP9EQmNjKdSTaYu\nUrI1lLqVMrxb6eEbZCMpyiFnsgv18OtUxTouoaQ4JSLhEyMeRqcqb5YwQjULQyvugMnMTvd/fMrM\nfgk8CDSsEzrnVqR47ZeAgWY2AC8AXQF8qUkf+gA7nHPOzEYC7QBN8UpByFiyB/ASPDwToy7SyBgX\nTebcJhrdINtkj3fFGTe3vf8ZduWgKxvdwwTQoagDVw66MsBeSVOKUyL5pbIS+nQIX7KHdGiaMGL+\nyrnNs+2pZmFotbTC9B9NHo+I+tkBE1O5sHOu3sxuBB7HS9f6B+fca2Z2nf/8XcBk4HozqwfqgCuc\nc9rGIJKqyF7oRLLkJXNuS6L2eMcMFCESuU9JWfJCT3FKJM+MGRP+ZA/p0LCNnSbZ9gaWU/HOy8qS\nFzLW2ve6mZ0UyRDU0rEwKSsb4e655+WguyHSJpHteBldYQoLf9WpQR5l2hMYUTKiyjk3ovUzU6M4\nJZL7IskeCmXAFFOMmJjLCZRyQaJxKpF7mBYCpzc59r/QaGVRRNIoK4OlJOowJeXZ/4SaR8AdAmsH\npV+Asd/h2c3LuHftAmrrdtOzcw+u8Le3bf94M7V1uxnWqRPHd+7M+o2L2LDtOQ2cJBmKUyI5bsMG\nmDwxwcFSuuLXfVfD+xsPP+5+Ilw+r+X2MxU7oVm2PaBhK3urCSMko1q6h2kQcArQzcwujnrqKKBT\npjsmIhmUTB2mZDz7n1D98OHH7hBUP8yzH9dy94F3GtU1mv3KbzEz6g/VA7Byfx2v7azimiHX8vau\ntY1SlGvwJLEoTokUoHTFr6aDJfAe33MJHNgbu33ITOyMpZsX82aMLWX+yrnQWsIIyaiWVphOBi4A\nugNfiDq+FyiEzUIiWZfx7HgRydRhSkbNIzEP37vvDQ4UFTU6dtAd9O4yiXLg4AHuXbuA35T/xjvQ\nJCWrgoQ0oTglkgciyR4Skq741XSwFPFRjASXkfYjP6d67SRF3+8UqfMU5vuA81HcAZNz7mHgYTM7\n0zm3PIt9EiloWdmOl6laD+5QzMO1Re0SbqI2utZRVEpWaHJjbI6kKJfMUZwSyR8J37sUVK2iltrP\nZp2k6DpPKC5mS0tb8v4bf/7XzJrl0nXOfSuD/RIpODU1WbxYpmo9WLuYg6aeBw9R22SFKZ6eLdQ6\nmjHWT0XeJEW5gkRhUpwSyX01NUmsLkFwtYoi7YesTlJLcRFQbEyTlrbkRdL3nA2UAff5jy8FqjPZ\nKZFCFMkOlBUp1FZqUekXGt/D5Lui66cb3cMEUGRFje5hAq/W0RWJ1DqKujG2an0lNXu2ejNs3Ycy\noPsA3e9UOBSnRHJc0pnx0hW/up8Ye1tel56N72Fq2n4mYmc6NEkYUbV7A5VbVilhRJq0tCVvHoCZ\nXQ+Mcc7V+4/vAp7NTvdECkvWUqmmq7ZSU2O/4/3dJEve2LHfgThZ8poeG9svuVFjQzFAf1/3ho2r\ndL9TgVCcEskPScW+dMWvy+e1LUteOq6daVHb2avWV1LTJGGEEiklL5E6TK8DZzrn3vUfHw284Jw7\nOQv9axPVt5BcU1C1l7IhMnjat8t7rMFTILJYh0lxSiRHrVhcpdiXLU1jIzDgxEkFPXhKZx2mXwAr\nzewpwIDPALel1j0RaSqjASNObaSYYs2sQfhn1KK1cFNsoQeHPKU4JZILGuLLDujamxXFl1Ay5FNB\n9yo58VafMlmfKV2axMZIuvLKjYt4e/9HvHrgXXbX7aZH5x5cOehKxpRk6z6B8Gt1hQnAzPoAo/yH\n/3DObc9or1KkmTvJJZHq5hkbMDWtjRRRdmHzQVPT+hYA7doDDqLuNaK4I3zm/4UvGLSian0llVv8\nG2JVQT3jsrXCBIpTIqEXI76s2DOEad8pyZ1YEitGFneET38O3nis+fEciZPPbl7GjKdv88p9AG/Q\nmSIr4ntnfi/vB02Jxqm4uX79goCY2elAX+Ad/09f/5iIpEHGkz3EqY0U83is+haHPmk8WILGNSly\nyPCTKpgx9mZmjL2Zip594f1VVL40k5pd2UxRKOmiOCWSQ5rElxXvlXmxJZdiSbwaUDWPxK/PlAPu\nXbuA3t160Lf7sZzdvRuf7wz/5Pbxtxd/TuVLM6l8szLoLgaupS153wGuAf4jxnMOmJiRHokUoIwm\ne4hTGynm8WRqSWSz7kQGDD+pouGG2IbCuKD7nXKL4pRIroiRjnva6ffAPgugM20UL+7Fi7M5Eiej\n6x9uoCN07EjfjkcCxowhkw6nKy/ghBEtZcm7xv97Qva6I1JYIskeMipObSQsxgJzvPoWsQRYdyKd\nIgMnIKqOhYoA5gLFKZEc0rV3Q3yp2fXpw/8CzaVYEi9GxouzOfLeenbuQW1dbczjDenKI6nKoyYY\nCyldedwteRFmtszMfmZmnzOzI7PRKZFCkvHsQKVfSPz4yGnevuto7dpDuyZzK2GpO5Fu3UobtuzN\nGDKpYcte5eq5QfdMWqA4JZIDouJLXXExY47/R+7FklgxsrijF09jHc+R93bFoCvpUNSh0bFmdRH9\nNOWRGDmgay+ofY4NGxcVRIxMJEveVcBY4BLgl2b2MfCsc+5fMtozkTxXk63bZuLURoqZJS9efYtY\nx3LgRtaURM2qzV//XKNVJ1D19JBRnBIJu+j48h6UDtgDI3MjKUKDlmpA9Rmcs3EyUv8wmbqIU4Yd\n3roenYk2XxMqJZol7zhgHF5AmgBscs59LsN9azNlH5JcsGJxFSUlUJFf3yn5Lap6OihFeWuynCVP\ncUokB6juYB5rEiOB0G9tT1sdJjN7C6gF/gf4PfBN5+Ld3SZSIJrUkmjrTFKzwVKsekkQe3Uo1rnx\nZriSqa2UC7UkghJVPX3+yrlsiOzlztMZtVyhOCWSWzRYylNRMRKIui94FXQfyoDuA3J2krHVFSYz\n+zYwBjgeWAssBZ5xzr2V+e61jWbuJKPi1WFIot5CzBm2ePWSYul+Iry/sfnxdu3gUNS/E+PVh4hX\nWynHa0kEpVF9J7TyFJGtFSbFKZHcELfuYLom6jThF0pV67205E3jJASfMCLROJXQljwAM+sKfA2Y\nDvRzzhWl1sXMUSCSjPrLZbGz5HTtDV++P6EmViyOETDunhA/NWkq4mXvSebcJN5boWsYPHXsBVDQ\nKcqzuSUPFKdEwiwyWBozpkkpjTRMQqa1Hcm4qvWV1OzZyoZ9uwCoOOPmwPqSzi15/4E3c9cVeB64\nFXg25R6K5Kp4abcTTccdT6Z2ECXTbo7XkgiDhjTlMVKU5/J2hDBTnBLJDSUlMeoOxisG++Lvkhvo\npKsdybjhJ1Uw3P95/sq5jRJGhLXOUyJZ8pYD/+6cS/FfgyJ5IqqWRLPjCaishD4dYjyRzEpQMtKy\nwpQbtSRCJZJlj6jZtI2r2LBxUaCzaXlKcUokxCKrS5TEeDLehFyyE3XpakeyKjrbXqN7gyFUCSNa\nHTA55xZmoyMiOWPktNjL/gnWW+jTIcZ2PPCSNoT1HqYcqSURVnFn05SiPC0Up0TCL25W2HjFYJOd\nqEtXOxKY6MFT04QREGysbLVwbSb5RQZfN7N1Zvb9GM+bmf3af361mZ0eRD9FGhl4jrcnOrKi1LV3\nevZIj/0OlF3orfKA93fZhbGPXT4v9vHxt/j9ssP9GvudqP76x8d/D8Z/P7Fztf87raYMm9pQGLfi\nCA4Xx40MoiRUFKdEMixeMdhkJ+rS1Y6Eg19IvqJkaLNYWbMrW4UsD0s46UPaL2xWBLwBnANsBl4C\nrnTOVUedUwF8E6gARgF3OOdGtda2bqaVsFL9CYln/sq53g2weZSiPNtJH9JNcUokdXGTPURTljxJ\nUNOstKlucU856YOZHdPSC51z77alY1FGAuucc+v9690LXAhUR51zIfBn543qXjCz7mZ2nHNuW4rX\nFgmMBksSy5RhU2GPN2vWsA2B8KReDSPFKZHcEDPZQ7SB56RnYJOudiS0GhIrkd2EES3dw1QFOMBi\nPOeAk1K8dgnwTtTjzXizc62dUwI0C0Rmdg1wDUCfPv1T7JpI+jVK9pCOWTDNpOWfbt4XfaNkEbXP\nsWHfLjZse66gU5THoTglkg8yHc/S2b5ib2g0TRhB7XNURorJk96yHnEHTM65AWm7ShY45+4G7gZv\nq0PA3RFppiHZQ9NaEft2eI8h8S/ddLQhoRedLOL2Z2cqRXkTilMi4dZidryITMezdLav2BtasRNG\nzExbwohE0opjZkcDA4FOkWPOuWdSujJswavKHtHPP5bsOSK5JR21IlRvouDMGOvt026omB5Jvdqx\nl1aeUJwSCau42fEiMh3P0tm+Ym9uiJT12FND1e4NVG5Z1Wibe1smGxMpXDsV+DZeEHgFGI1X82Ji\n0ldr7CVgoJkNwAsuVwBfanLOX4Eb/X3jo4A92hcuuSiS7AFIT60I1ZsoWJG925G/G1aeQpB2NSiK\nUyLhVLeligFjWjkp0/Esne0r9uaWbqUM71baEC+r1lcenmzk8D3CiUhkhenbwBnAC865CWY2CPh5\n0p1uwjlXb2Y3Ao8DRcAfnHOvmdl1/vN3AZV4mYfWAR8BX0v1uiJBaUj2kI5aEao3Ib4ZY29O6yxa\njlKcEgmZykoYPqCVZA+Q+XiWzvYVe3NadMKIyOApUYkMmPY75/abGWbW0Tm31sxObmNfG3HOVeIF\nm+hjd0X97IBvpONaIkFplOwBUi58m7Y2JH80mUVrdPNriCqlZ5DilEgIDUjkLsNMx7N0tq/Ymzci\ng6dbeSCh8xMZMG02s+7AIuBJM3sPeDuFPooUlIZkDxGRfc6pZNlJRxuStxpufo2ulE5erzopTomE\niDdRWNX6iZD5eJbO9hV7C1ZShWvNbBzQDfg/59wnGetVilQQUMJkxeIq1V6SwM1fORfAK44LWUkW\nEUThWsUpkeBVVsLkiVWtb8cTCZj1SLFwbUNDZvc4564CcM4tjRwDrkq5lyJt0VADYQd07R3q2Z0V\ni6tg9zr4yy2NZ6NAM1SSVY1SrtI4WUSupyhXnBIJl4RXl0RyRCJb8k6JfmBmRdBQGkQku3KtBsLu\ndUzrdQPsi+rv0/8GODhUf/hYmN+D5KUZY2/OpxTlilMiIZFwsgeRHBJ3wGRmNwO3AJ3N7AMOV1I/\ngF94TyTrcqgGQk0NsOVlOLpJfw/F2CUU0vcg+S1uinJy434nxSmRcEoo2YNIDok7YHLOzQRmmtlM\n59zNWeyTSHyx0nm2dDxAdVuqGNP774m/QHUcJGDRxXGb1qoI4+BJcUokXFYsrqJPB60uSf5JZEve\nD8xsCjDAOXe7mR0PHOecezHDfRNprmvvODUQeme/LwkoHbAH9iV4suo4SEhE16qYv3IuG6K27NG5\nbxjTlCtOiYSEkhxJPkpkwPQb4BBexfTb8f759xu8IoEi2ZVrNRBi9bddexrdwwThfg9S0KJTlAON\n0pRXnBGaRR3FKZGA1dQE3QORzElkwDTKOXe6ma0EcM69Z2YdWnuRSEY0qoEQ3ix5kZte49ZsiHUs\nZO9BpJFu3h6bGWO9v+evnNtwv1MIiuMqTokErG5LFWPGBN0LkcxIZMD0iZ9xyAGYWS+8mTyRYAw8\nJ/SDiz4dqqiI/PsxXn9D/h5EWhKvOG5AgyfFKZEQ0L1Lkq8SGTD9GngIONbMfgZMBn6Y0V6JZFIy\ndZye/U+oeQTcIbB2UPoFGPudFtutXDmYPn0/gDd7pGdQ1NBfrUZJCHUrbVh1qlpfSc2erd7KU8de\n2eyF4pRILFmqW7hicYp1lxTnJORaHTA55/5iZlXAZ/FStk5yzmmnquSmZOo4PfufUP3w4cfu0OHH\nTQdNjdod7GXHe+bt2O1mqr8iARt+UkVD8aP5K+dm7bqKUyIxZDl+tDnZg+Kc5IB28Z4ws05mdpOZ\n3QmMA+Y45+5UEJKc1lIdp6ZqHondRqzjUe326bmV0l5vxG83U/0VCZGGLXsZpDgl0oJciR+50k8p\naHEHTMA8YASwBvg8MCsrPRLJpGTqOLk4t0DEOu6/vvLNckq6bo86nmJtpXivV80mEVCcEokvS3UL\nU96OpzgnOaClLXllzrnBAGb2e0D1LCT3JVPHydrFHhxZjHmGqHYHHP121PEUayt1PTZOf1WzSQTF\nKZH4sli3MKXaS4pzkgNaWmH6JPKDc66+hfNEcsfIaV7No2jxaiCVfiF2G7GOj5xG5frPH96O11K7\nmeqvSOFRnBKJJ1fiR670UwpaSytMQ83sA/9nAzr7jw1wzrmjMt47kXRLpo5TJLFDIlnyBp4DJ/dh\nzNHfASx9WX7i1XHSjbAioDglEl8W6hauWFxFSUmKjSjOSQ6IO2ByzhVlsyMiWZNMHaex34mfRryJ\nPv0PwJhfQLrrUORA3SmRIChOibQiC/GjIh1l1xTnJORa2pInIgmqrPT+VtE+EREpBCknexDJIYkU\nrggbqeoAABQlSURBVBWRBIwZE3QPREREMq+mBkpK0rS6JJIDtMIkkqLKSujTQTNtIiIiIvlIAyaR\nNBgzRtvxREQk/9XUQN0WTRJKYdGASSRFWl0SEZFCou14UmgCGTCZ2TFm9qSZven/fXSc8zaa2Roz\ne8XMXs52P0Vao2QPIvlJcUokNq0uSSEKaoXp+8DfnXMDgb/7j+OZ4Jw7zTk3IjtdE0mOkj2I5CXF\nKZEmlOxBClVQA6YLgXn+z/OASQH1Q0REJBbFKRERAYIbMPV2zm3zf94O9I5zngMWm1mVmV3TUoNm\ndo2ZvWxmL7/33q509lUkpkh2PG3HE8lLilMiUSorve14AwYE3ROR7MtYHSYzWwz0ifHUD6IfOOec\nmbk4zYxxzm0xs2OBJ81srXPumVgnOufuBu4GKCsbEa89kbTSdjyR3KU4JZIcZYSVQpWxAZNzrjze\nc2a2w8yOc85tM7PjgJ1x2tji/73TzB4CRgIxA5FINtXUKDueSK5TnBJJnGKeFLKgtuT9Fbja//lq\n4OGmJ5jZEWZ2ZORn4Fzg1az1UKQFGzZopk0kzylOifgqK71kD4p5UqiCGjD9AjjHzN4Eyv3HmFlf\nM/MTNdMbWGZmq4AXgUedc48F0lsRESk0ilMiUXTvkhSyjG3Ja4lzbjfw2RjHtwIV/s/rgaFZ7ppI\nqyLJHkQkfylOiRymmCeFLqgVJpGcpu14IiJSCLQdT0QDJpGkaaZNREQKibbjSaHTgEkkCZppExGR\nQqEt6CKeQO5hEsllmmkTEZFC0KdDFdOmBd0LkeBphUkkQZppExERESk8GjCJJEHJHkREpBCsWFxF\nSUnQvRAJBw2YRBKk1SURESkkFRVB90AkHDRgEkmAkj2IiEihWLFYE4Qi0TRgEkmQkj2IiEihULIH\nkcM0YBJphZI9iIiIiBQupRUXSYCSPYiIxPb02p38+YW32bV3P72O7MRXRp/A+EHHBt0taSMlexBp\nTgMmERERaZOn1+7kzqfWsb/+IAA79+7nzqfWAWjQlMOU7EGkMW3JE2mBtuOJiMT35xfebhgsReyv\nP8ifX3g7oB5JKpTsQSQ2DZhEWqHteCIise3auz+p4xJ+SvYg0pwGTCIiItImvY7slNRxEZFcpAGT\nSByR7XhaXRIRie0ro0+gU3FRo2Odiov4yugTAuqRtJW244nEp6QPIi0YMyboHoiIhFcksYOy5OUH\nbccTiU0DJpEYamqU7EFEJBHjBx2rAZKI5DUNmERi2LABJk9UsgcREclvNTVQt0W1l0RaogFTCKkI\noIiIiGRLSYlqL4m0RAOmkFERwOAp2YOIiBSKui1VoNUlkRYpS17IqAhgOCjZg4iI5LuaGu9vrS6J\ntEwDppBREcBgKdmDiIgUEt27JNK6QAZMZnapmb1mZofMbEQL533OzF43s3Vm9v1s9jEoKgIYrA0b\nvNUlbccTKWyKU5LvIskeRKR1Qa0wvQpcDDwT7wQzKwJ+A3weKAOuNLOy7HQvOCoCKCISCopTkveU\n7EEkMYEkfXDO1QCYWUunjQTWOefW++feC1wIVGe8gwFSEcDgKNmDiEQoTkm+U7IHkcSFOUteCfBO\n1OPNwKh4J5vZNcA1AH369M9szzJMRQCDo2QPIpKEgo1TktsqK2H4AK0uiSQqYwMmM1sM9Inx1A+c\ncw+n+3rOubuBuwHKyka4dLefqh8+tJpXNu9peHxav2789KIhMc9VHabsU7IHkcJT6HEqXbEmbO1I\nYgYMCLoHIrkjYwMm51x5ik1sAY6PetzPP5Zzmg6WAF7ZvIcfPrS62aBJdZiCsWGDN9um7XgihaOQ\n41S6Yk3Y2pHWRbafi0jiwpxW/CVgoJkNMLMOwBXAXwPuU5s0HSy1dFx1mIKj2TYRSVLOxql0xZqw\ntSOJUTZYkeQElVb8IjPbDJwJPGpmj/vH+5pZJYBzrh64EXgcqAHud869FkR/s0l1mIKh2TYRiZbv\ncSpdsSZs7UjrFO9EkhdUlryHgIdiHN8KVEQ9rgQqs9i1wPU6shM7YwQI1WHKHG97gmbbROSwfI9T\n6Yo1YWtHWhZJ9qB4J5KcMG/Jyxun9euW8HHVYQqGsuOJSCFJV6wJWzvSOm0/F0meBkxZ8NOLhjQb\nHMXLkjd+0LHcOOFTHHtkJww49shO3DjhU7rpNUN086uIFKJ0xZqwtSMtU7wTaZsw12HKK/FSiMei\nOkzZpZtfRaQQpSvWhK0diW3FYm+wpHgnkjwNmFIQq2ZE9fY9PP7qDg46R5EZ553amxvGD1R9iZDS\nbJuIFKp4cUl1lfLXtGlB90AkN2nA1Eaxakb85+LXORRVivCgc1Su2c7W9+pYu32f6kuEjJI9iEih\nilf3qHr7HpbU7FJdpTwTWV0SkbbRPUxtFKtmxKE4ddtf2bxH9SVCSskeRKQQxat79PirO1RXKU9p\ndUmk7TRgaqN01IZQfYngKNmDiBSyePHnoIs986e6SiJSyDRgaqN01IZQfYlgKdmDiBSqePGnyCyp\n85NtX3Ev+7QdTyR1GjC1UayaEe1ixxlO69dN9SVCRqtLIlLI4tU9Ou/U3qqrlIe0HU8kNUr60EaR\nm1aVJS/3KNmDiBS6eDFs/KBjKevTLeV41VL7kj1aXRJJD3Nx9ivnsrKyEe6ee14OuhsSUpWVMHli\nlQZMIhlmPUZUOedGBN2PMFKckmxYsbhKq0siLUg0TmmFKQG/ffrNmKtGP3xoNa9s3tNw3mn9urFu\nxz72fXI4M1DX9kXce91ZMc99592P2P3RJw3HenRpz7yvj9ZqVAbV1Gg7nojktkzXSUom5iVTlD1b\n70tEJN20wtSK3z79JpVrtjc73qNL+0aDnZYYkOin3LV9EfWORulYOxUXceOETylwpIFWl0SyRytM\n8bU1TjWtbwRtixHx2hnUp2ujQVFEvJiXrkFTut6XHLZicRUlJVBREXRPRMIr0TilpA+tePzVHTGP\nJzpYgsQHSwD7Pjmo2hUiIhJTuuobxWsn1mAJ4se8eOcnS3WbMkODJZH00ICpFfFqUmSbalekLlJ7\nSatLIpKr0lXfKGwxRXWb0kvJHkTSSwOmVsSrSZFtql2RHmPGBN0DEZG2S1d9o7DFFNVtSp+aGu9v\nJXsQSR8NmFpx3qm9Yx7v0aV9wm0kM+Tq2r5ItStERCSmdNU3itfOaf26xTw/XsyLd36yVLcpvUpK\ngu6BSH7RgKkVN4wfSMXgPg0rTUVmVAzuw7yvj24WKE7r142u7Rt/4XdtX8Qj3xwb89ymAahHl/bc\ne91Z3DjhUxx7ZCcMOPbITrrpNQ0i2/FERHLZ+EHHpiVGxGvnpxcNSSrmpStLXrreV6GrqYG6LYp1\nIummLHlSEJQdTyT7lCUvPsUpyYSaGjiGKiV7EEmQ6jC1Uap1IOK9PtP1K6RlWl0SEUmN6iSJSKHS\nlrwokToQO/fuxwE79+7nzqfW8fTanSm9/ob5LzdLvfrK5j388KHV6X8T0kxlpbefW6tLIiJtk2p8\nlMzTdjyRzNGAKUqqdSDivX7Te3Uxz09X/Qpp3YABQfdARCR3qU5SblChWpHMCGTAZGaXmtlrZnbI\nzOLuGzSzjWa2xsxeMbOMb/ZOtQ6E6kWET02NtuOJSPLCGqeCojpJ4afVJZHMCWqF6VXgYuCZBM6d\n4Jw7LRs3DqdaB0L1IsJnwwav9pK244lIkkIZp4KiOknhFqm9pNUlkcwIZMDknKtxzr0exLVbkmod\niHiv739055jnp6t+hcSn1SURaYuwxqmgqE5SuEUmB0UkM8J+D5MDFptZlZld09KJZnaNmb1sZi+/\n996uNl0s1ToQ8V7/2ykjMlq/QmKrqVGyBxHJuKzGqaCoTlJ4qc6gSOZlLK24mS0G+sR46gfOuYcT\nbGaMc26LmR0LPGlma51zMbdHOOfuBu4Gr75FmzqNFxRSCQDxXq/BUTCU7EFE4snVOBWUVOPj/2/v\n/kLlOMs4jn9/NBZjCGobmyYxptYGrVoamhCS+oeAsWhu0qDS2IqViqEXUqxX8Q9eKdQiSKUKFhQi\n+Ae8SA1tmpoESuPFsW0kf1traom0MTa2ajQYmhAfL/ZNe9ju7M7umd2Zec/vA8t5d3Z25nnm3Z2H\nd3f2PTY+vvTcbLzGNmCKiPUVbONE+ntK0nZgNeWuJ7dZ7rXpVT1gMrMCrlOWA3+7ZDZ+jb0kT9I8\nSfMvtoGb6PwI16wUX45nZuPkOmV127mz89e1zmy86ppWfJOkF4G1wMOSHk3LF0tKb38WAr+TdBB4\nAng4InbVEa+1j6dXNbOZcJ2ytvBkD2bjN7ZL8vqJiO3A9h7L/wpsSO3ngesnHJplwNOrmtlMuU5Z\n03myB7PJaewleWYzsWRJ3RGYmZmNlyd7MJsMD5gsKxcne/DseGZmZmZWBUW0bmbTgST9HfhLBZta\nALxcwXbq5jyaI4ccII88csgBmp3Hsoh4R91BNFGFdaqfJr82ZiLXvCDf3JxXu+SaF7wxt1J1KssB\nU1UkPRURq+qOY6acR3PkkAPkkUcOOUA+eVj1cn1t5JoX5Jub82qXXPOC0XPzJXlmZmZmZmYFPGAy\nMzMzMzMr4AFTfw/UHUBFnEdz5JAD5JFHDjlAPnlY9XJ9beSaF+Sbm/Nql1zzghFz82+YzMzMzMzM\nCvgbJjMzMzMzswIeMJmZmZmZmRXwgGkaSZ+RdFTS/yQVTjko6bikw5IOSHpqkjGWMUQen5D0rKTn\nJG2dZIxlSLpM0m5Jx9Lftxes17j+GHRs1fGD9PghSTfUEWc/JXJYJ+l0Ou4HJH2rjjgHkfRTSack\nHSl4vA19MSiHVvSFjVcuNaxbLjWtW5trXC851L0iudTDbjnUx17GUjMjwrd0A64F3gs8Bqzqs95x\nYEHd8c4kD+AS4M/A1cClwEHg/XXH3hXjvcDW1N4KfLcN/VHm2AIbgEcAAWuA39cd9wg5rAMeqjvW\nErl8FLgBOFLweKP7omQOregL38Z7y6WGjZJXG2paj5hbWeNGPf5tONfOILdWnoNzqI8j5jV0f/kb\npmki4pmIeLbuOGaqZB6rgeci4vmIOAf8Ctg4/uiGshHYltrbgJtrjGUYZY7tRuBn0TEFvE3SokkH\n2kcbXh+lRMTjwD/6rNL0viiTg1k2NaxbRjWtW1trXC851L0ibXxtlZJDfexlHDXTA6bRBLBH0n5J\nW+oOZkRLgBem3X8xLWuShRFxMrX/BiwsWK9p/VHm2Db9+JeN78b0Nf0jkj4wmdAq1/S+KCuHvrDJ\naNo5swptfB+3tcb1kkPdKzKb6mG3tvZZGUP115xJRNQkkvYAV/Z46BsR8ZuSm/lwRJyQdAWwW9If\n02h2YirKo3b98ph+JyJCUtEc+LX3xyz1B+BdEXFG0gbgQWB5zTHNVu6LWSKXGtYtl5rWzTVu1vA5\nuF2G7q9ZN2CKiPUVbONE+ntK0nY6X9dO9ORVQR4ngKXT7r8zLZuofnlIeknSoog4mb4CPlWwjdr7\no0uZY9uI49/HwPgi4t/T2jsl/UjSgoh4eUIxVqXpfTFQRn1hA+RSw3rElEVN65Zpjeslh7pXZDbV\nw25t7bO+RukvX5I3JEnzJM2/2AZuAnrOwtFwTwLLJb1b0qXAZmBHzTF12wHcntq3A2/4lLGh/VHm\n2O4APp9moFkDnJ52aUYTDMxB0pWSlNqr6ZxPXpl4pDPX9L4YKKO+sDFr6DmzCm2oad3aWuN6yaHu\nFZlN9bBbW/usr5H6a9QZKHK8AZvoXJ/5KvAS8GhavhjYmdpX05kh5SBwlM7lArXHPmwe6f4G4E90\nZn9pYh6XA3uBY8Ae4LK29EevYwvcCdyZ2gJ+mB4/TJ8ZrRqcw5fTMT8ITAE31h1zQR6/BE4C59P7\n4ost7ItBObSiL3wb++skixo2Sl7pfqNrWo+8WlvjCvJpfd2bQW6tPAfnUB9HzGvo/lJ6opmZmZmZ\nmXXxJXlmZmZmZmYFPGAyMzMzMzMr4AGTmZmZmZlZAQ+YzMzMzMzMCnjAZGZmZmZmVsADJrMBJF2Q\ndEDSEUm/lvSWAet/veR2j0taUHb5TEi6StKt0+5/QdL9Ve7DzMzq4TplNl4eMJkNdjYiVkTEB4Fz\ndOby76dUIZqwq4BbB61kZmat5DplNkYeMJkNZx9wDYCkz0l6In2q92NJl0i6B5iblv08rfegpP2S\njkraMszOeu0jLT8j6TuSDkqakrQwLX9Pun9Y0rclnUmbugf4SNrO3WnZYkm7JB2TdG8Fx8bMzOrn\nOmVWMQ+YzEqSNAf4JHBY0rXALcCHImIFcAG4LSK28vonfbelp94RESuBVcBdki4vub+e+0gPzwOm\nIuJ64HHgS2n5fcB9EXEdnf9ufdFWYF+K6/tp2Yq0/euAWyQtHeqAmJlZo7hOmY3HnLoDMGuBuZIO\npPY+4CfAFmAl8KQkgLnAqYLn3yVpU2ovBZYDr5TY78f67OMc8FBq7wc+ntprgZtT+xfA9/psf29E\nnAaQ9DSwDHihRFxmZtYsrlNmY+QBk9lgZ9MnZ69RpzJsi4iv9XuipHXAemBtRPxX0mPAm0vut98+\nzkdEpPYFRnsvvzqtPeo2zMysfq5TZmPkS/LMRrMX+LSkKwAkXSZpWXrsvKQ3pfZbgX+mIvQ+YE1F\n+ygyBXwqtTdPW/4fYP4Q+zYzs3ZznTKriAdMZiOIiKeBbwK/lXQI2A0sSg8/ABxKP6bdBcyR9Ayd\nH7ROVbSPIl8BvprWvwY4nZYfAi6kH9/eXfhsMzPLguuUWXX0+relZtZ26vzvjbMREZI2A5+NiI11\nx2VmZgauU9ZOvhbULC8rgfvTtev/Au6oOR4zM7PpXKesdfwNk5mZmZmZWQH/hsnMzMzMzKyAB0xm\nZmZmZmYFPGAyMzMzMzMr4AGTmZmZmZlZAQ+YzMzMzMzMCvwfaqdfvxO1skwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8cd7e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_data_and_decision_regions(ppn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"線形分離不可能なデータに対してパーセプトロンが収束しない様子を確認する。"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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2E3XSIORTNlyDGnrjsB85L6ntPXXTTbfwm988TE1NNZ/5zGcpK7uelSv/i6NH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\nu0pzJ8/R3DEzpDfWKPHcLUo8d4uSe5JhF63UkbGIr1LIoGx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VFt7RmSpPe9732SpGefXarrrvuiJOmkk07WcccN16ZNrUNy2bKl+tWvfi1JmjJlml57bZ/efPNN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coR9aHmGiK3pFAqxpey3EGbKhMxXebQ+1b0ZbZ7uMXBTsiWpaJkDJxIzgHZUVFGFog4hIJg2b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\nYzsnaYuZFc3szno7NLM7zewFM3v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"text/plain": [
"<matplotlib.figure.Figure at 0x8f4f0b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def _tmp():\n",
" plt.figure(figsize=(24, 15))\n",
" # Iteration 41 - 49 での決定境界をプロットする\n",
" for n in range(41, 50):\n",
" ppn = Perceptron(n_iter=n, random_state=0, shuffle=True)\n",
" ppn.fit(X_train_std, y_train)\n",
" plt.subplot(3, 3, n - 40)\n",
" plot_iris_dataset(X_train_std, y_train, 'train, standardized')\n",
" plot_decision_regions_new(X_train_std, y_train, ppn)\n",
" plt.show()\n",
"\n",
"_tmp()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.3. ロジスティック回帰を使ったクラスの確率のモデリング"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"教科書のとおりに実行する。"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Wbq2kwZ1wGELhMGF3GsLQEA5HfroTDjuhcORngze6vXfwRrfDTjg6TV0oTG2o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\nEYlJJSEiIjGpJEREJCaVhIiIxPT/AXFhJzXhNqKNAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa4ab748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"# シグモイド関数を定義\n",
"def sigmoid(z):\n",
" return 1.0 / (1.0 + np.exp(-z))\n",
"\n",
"# 0.1 間隔で -7 以上 7 未満のデータを生成\n",
"z = np.arange(-7, 7, 0.1)\n",
"# 生成したデータでシグモイド関数を実行\n",
"phi_z = sigmoid(z)\n",
"# 元のデータをシグモイド関数の出力をプロット\n",
"plt.plot(z, phi_z)\n",
"# 垂直線を追加 (z = 0)\n",
"plt.axvline(0.0, color='k')\n",
"# y 軸の上限/下限を設定\n",
"plt.ylim(-0.1, 1.1)\n",
"# 軸のラベルを設定\n",
"plt.xlabel('z')\n",
"plt.ylabel('$\\phi(z)$')\n",
"plt.title('Sigmoid function')\n",
"# y 軸の目盛を追加\n",
"plt.yticks([0.0, 0.5, 1.0])\n",
"# Axes クラスのオブジェクトの取得\n",
"ax = plt.gca()\n",
"# y 軸の目盛に合わせて水平グリッド線を追加\n",
"ax.yaxis.grid(True)\n",
"# グラフを表示\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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NGLCS/fcfRkXFobhd2xlVpHmbVm1dA0DFoOFUlmc/tZJzjtb3Wln33jr2VO/JevsiIqUq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\nGSUT+6R4aMAUEko1XrpKIR1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GSno8WY2JAQNhQJe5lVzUneinKybPYNbE8+L1KhoWz1W9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\nUecAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa850d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"# ロジスティック回帰のインスタンスを生成\n",
"lr = LogisticRegression(C=1000.0, random_state=0)\n",
"# トレーニングデータをモデルに適合させる\n",
"lr.fit(X_train_std, y_train)\n",
"\n",
"# 決定領域を表示する\n",
"plot_data_and_decision_regions(lr)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 2.05743774e-11, 6.31620264e-02, 9.36837974e-01]])"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lr.predict_proba(X_test_std[0,:].reshape(1, -1))"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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XWaKCCoKID0orqrj15RUM7NSSS4/p6XccEUAnlUV88cD7X7Ehv5TZk4+mWaL+LpPooJ9E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\ngAqCiIiEqCCIiAgA/w9WQmq7ECCmuQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8f02ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 空のリストを生成 (重み係数、逆正則化パラメータ)\n",
"weights, params = [], []\n",
"\n",
"# 10 個の逆正則化パラメータに対応するロジスティック回帰モデルをそれぞれ処理\n",
"for c in np.arange(-5, 5, 0.1):\n",
" lr = LogisticRegression(C=10**c, random_state=0)\n",
" lr.fit(X_train_std, y_train)\n",
" # 重み係数を格納\n",
" weights.append(lr.coef_[1])\n",
" # 逆正則化パラメータを格納\n",
" params.append(10**c)\n",
"\n",
"# 重み係数を NumPy 配列に変換\n",
"weights = np.array(weights)\n",
"# 横軸に逆正則化パラメータ、縦軸に重み係数をプロット\n",
"plt.plot(params, weights[:, 0], label='petal length')\n",
"plt.plot(params, weights[:, 1], linestyle='--', label='petal width')\n",
"plt.ylabel('weight coefficient')\n",
"plt.xlabel('C')\n",
"plt.legend(loc='upper left')\n",
"# 横軸を対数スケールに設定\n",
"plt.xscale('log')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ロジスティック回帰のコスト関数を理解する。"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"59.7763773851\n",
"27.9410615594\n"
]
},
{
"data": {
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CNINNW1sb6enpDBs2jNjYWEUPAXbFWgMkLCys1zkwezoZtrCXn+GIpoYjehwW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"text/plain": [
"<matplotlib.figure.Figure at 0x8b5ff28>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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pftuS4wPggw8+4NFHHyUkJIS0tDRefvllnnvuubpIyfrOo7a2Fk9PTz744AMW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\nQJNPYdeuXcTGxhou5fTixYtkZ2frsseJomOklCxbtoyQkBBSU1Ob99t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Hsbd8IKWUQoj2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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8fa0710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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5rSI7cEjWs49V3XVchJSS/fv3l0dH7Wg+/m2Je+65h2+++Ybly5dz//33lzss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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa2f8320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kuuu6jiuK1qCzBCrLOVvA3/71A8dOXUQIQWA3L577w0yi+tfv76ojcSYnj5f+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"text/plain": [
"<matplotlib.figure.Figure at 0xcca57b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def _tmp():\n",
"\n",
" def plot_contour(f, levels, resolution=0.01):\n",
" x1_min, x1_max = plt.xlim()\n",
" x2_min, x2_max = plt.ylim()\n",
" xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution), np.arange(x2_min, x2_max, resolution))\n",
" Z = f(np.array([xx1.ravel(), xx2.ravel()]).T)\n",
" Z = Z.reshape(xx1.shape)\n",
" c = plt.contour(xx1, xx2, Z, colors='#999999', linewidths=1, linestyles='solid', levels=levels)\n",
" plt.clabel(c, fmt='%.2f', fontsize=12, colors='k')\n",
"\n",
" # z = 2 * length - 1.5 * width - 0.2 による決定境界を考える\n",
" z = lambda x: 2 * x[:, 0] - 1.5 * x[:, 1] - 0.2\n",
" phi = lambda x : sigmoid(z(x))\n",
"\n",
" # z の等高線プロット\n",
" plt.figure()\n",
" plot_iris_dataset(X_train_std, y_train, 'train, standardized')\n",
" plot_contour(z, np.arange(-5, 5, 1))\n",
"\n",
" # z にシグモイド関数を適用した phi(z) の等高線プロット\n",
" plt.figure()\n",
" plot_iris_dataset(X_train_std, y_train, 'train, standardized')\n",
" plot_contour(phi, [0.01, 0.1, 0.3, 0.5, 0.7, 0.9, 0.99])\n",
"\n",
" # コスト関数を計算する (ΣJ = 59.7763773851)\n",
" y = np.array([1 if y == 2 else 0 for y in y_train])\n",
" J = - y * np.log(phi(X_train_std)) - (1 - y) * np.log(1 - phi(X_train_std))\n",
" print(np.sum(J))\n",
"\n",
" # phi(z) の等高線プロットに重ねて、各データを J の値で色分けして描画する\n",
" plt.figure()\n",
" plt.scatter(X_train_std[:, 0], X_train_std[:, 1], c=J)\n",
" plt.xlabel('Petal length')\n",
" plt.ylabel('Petal width')\n",
" plt.title('Iris Plants Database (train, standardized)')\n",
" plot_contour(phi, [0.01, 0.1, 0.3, 0.5, 0.7, 0.9, 0.99])\n",
"\n",
" # より良い決定境界の例として z = 1 * length + 1 * width - 1 を考える\n",
" # ΣJ = 27.9410615594\n",
" z = lambda x: x[:, 0] + x[:, 1] - 1\n",
" J = - y * np.log(phi(X_train_std)) - (1 - y) * np.log(1 - phi(X_train_std))\n",
" print(np.sum(J))\n",
"\n",
" # phi(z) の等高線プロットに重ねて、各データを J の値で色分けして描画する\n",
" plt.figure()\n",
" plt.scatter(X_train_std[:, 0], X_train_std[:, 1], c=J)\n",
" plt.xlabel('Petal length')\n",
" plt.ylabel('Petal width')\n",
" plt.title('Iris Plants Database (train, standardized)')\n",
" plot_contour(phi, [0.01, 0.1, 0.3, 0.5, 0.7, 0.9, 0.99])\n",
"\n",
"_tmp()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"コストパラメータを変化させたときの様子を確認する。"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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o40S7faz7JBs/tEHa6ypfe0oZK5I8wv3+DpejbuVrV+cOd6xEZHKy8UMbpLN4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\nK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0lRlPsVRdmqKMrWb76pCnuj3KN7zzRzrEZG9wohOlIUJajtQkSYIfM1kjxH9soNXyHM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\nAAAQj8oCp0w4AhAWBnoBAADQMm47BQCgdYsG8txdCiA0DPQCc5RKXKwCA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"text/plain": [
"<matplotlib.figure.Figure at 0xd110860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def _tmp():\n",
" plt.figure(figsize=(24, 10))\n",
" # コストパラメータを 10^{-2, -1, 0, 1, 2, 3} として 6 枚の決定境界をプロットする\n",
" for n in np.arange(-2.0, 4.0):\n",
" lr = LogisticRegression(C=10.0**n, random_state=0)\n",
" lr.fit(X_train_std, y_train)\n",
" plt.subplot(2, 3, n + 3)\n",
" plot_iris_dataset(X_train_std, y_train, 'train, standardized, C=%g' % 10**n)\n",
" plot_decision_regions_new(X_train_std, y_train, lr)\n",
" plt.show()\n",
"\n",
"_tmp()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"直線 length = width に沿った断面で二値分類の値を確認する。"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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D6Fw7jI41Qwjy8bAzvohcR4fSDzF//3yWpCxhzeE1ZOdn4+XqReOwxvSq2osmYU2oE1QH\ndxd3u6OWSmrsioiIiIiIiEiRMsYQE+hFTKAXvepHAnAi/Ryr9p5k6e7jzN9+lJlbD2MMNKlUke51\nw+ndIJJQPx1yLVLanMw6yeyk2czYO4N1R9cBEOcXx+3xt9Muuh2NQxurkXudqLErIiIiIiIiIsUu\nyMeDHvUi6FEvAquvxdaDZ5iz7Qhztx/hnz9t5/Xp22lbPYR+jaLoWidMJ2ETKcHyrXxWHVrFpF2T\nWJC8gFwrl2oB1Xi00aN0i+tGrF+s3RHLJL0rioiISJE5nJpFmJ8Hxhi7o4iIiEgJZoyhbpRzvt4n\nutRgz7F0pq4/wJR1B/jztxvwdnfhlsZR3Nc6jmqhvnbHFZECGTkZTN41mW93fktyWjIBHgH8qfaf\nuLnqzdSoWMPueGWeGrsiIiJSJHLz8rnxnYV4urnQuFJFmsZVpGlsRepG+ePp5mJ3PBERESnBqob4\n8FTXmjzRuQZrkk4yMSGFiQkpfLkymbbVgrm/bRwda4Zq47GITU5lnWLCjglM2D6BM9lnaBzamOEN\nh9M5tjMeLponu7iosSsiIiJFIjff4sVetUlIOsW65FPM3X4EAHcXB3Wj/GgaF0jzuEBaVAnE11Nn\nvBUREZHfczgMLaoE0aJKEM/1iOebNfv5YsU+7h+XQJ1IPx7rVJ0utcJwONTgFSkOadlpjN0yli+3\nf0lmbiY3xtzI/fXup0FIA7ujlUtq7IqIiEiR8HRz4Y7mlbijeSUAjqefY+2+U6zbd4qEfacYtyyJ\n0YsTcXEY6kf706ZqMG2qBdM4NgAPV+3RKyIiIr8V5OPBwx2rMbRdFaauP8BHC3bz4BdriQ/35S9d\na9KplvbgFSkqOXk5TNw1kZEbR3L63GluqnwTD9Z/kKoBVe2OVq6psSsiIiLFItjHg251wulWJxyA\nrJw81iWfYvnuEyzbc5z/LNrDiAW78XRz0CwukLbVgulUK5SqIT76kiYicg0syyIxNZHVh1ez5vAa\nmoY15c5ad9odS+Squbk4GNA0hlsaRTFt0yE+mPczQ8Yn0KZaEM/3qE3tSD+7I4qUKSsPreTVFa+S\nnJZMi4gWPNnkSWoH1bY7lqDGroiIiNjE082F1lWDaV01mL9QkzNZOaxKPMmy3cdZvuc4/5qxg3/N\n2EGlQC861QqlU3wYzSsH4u7qsDu6iEiJdyrrFCsOrmD5weWsOLiCo5lHAYjwjqB+cH2b04lcH64u\nDvo2iqJn/QgmrErm/+buoueHS7i9aQx/uymeAC93uyOKlGqnsk7x74R/88OeH6jkW4n/dP4PbSLb\naKeLEkSNXRERESkR/Dzd6FI7jC61wwA4eDqT+TuOMm/7Eb5alczYZUn4eLjSrkYwN9WN4Mb4ULw9\n9FFGRAQgJz+HjUc3svzgcpYfXM62E9uwsPBz96NVZCtaRbSieURzon2i9YVcyhw3Fwf3to6jb8Mo\nPpj/M+OWJzF3+xFe6VOXm+qG629e5CrMTJrJaytfIz07nQfqPcDQ+kPxdPW0O5acR9+GREREpESK\nDKjAn1rG8qeWsWRk57J89wnm7TjK3O1HmL75MJ5uDm6MD6VnvUg6xofg5a6PNSJSvpzNOcvSA0uZ\nnzyfJSlLSMtJw8W4UD+kPsMbDqd1ZGvqBNXBxaF5y6V88Pdy48VetenXOIq//ncTw79aR9faYfyz\nb11C/dSQErkcGTkZvLnmTab8PIV6wfV4ufXLVK9Y3e5YchH6BiQiIiIlnpe7K51rh9G5dhj/zK9L\nQtJJftp8iOmbDzN982EquLlwY3wofRtF0aFmCG4umq5BRMqm45nHWbB/AfOT57Pq0Cpy8nMI8Aig\nU2wn2ke3p3lEc/zcNb+olG91Iv2ZOrwNny7dy7tzdtH9/SW8c1sDOtYMtTuaSIm24+QOnl70NPvO\n7OOBeg/wUMOHcHO42R1LLkGNXRERESlVXByGFlWCaFEliH/cXIfVe0/y0+aDzNxymJ82HyLI252+\njaLo3ySaWhFqbohI6Xc88zizkmYxc+9MNh7biIVFtE80d8TfQceYjjQMbYirQ1/tRApzdXHwYPuq\ndKoVxiMT1jFo7BqGtqvCX7rW1Hz9Ihfw454feWn5S/h7+DO662haRrS0O5JcBlV/ERERKbVcHIZW\nVYNoVdXZ5F286xiT16YwfkUSny7dS51IP/o3iaZvwygqeusEKiJSeqSeS2Ve8jym753OmsNryLfy\nqVGxBsMbDqdTpU5UC6imeUNFLkO1UB+mPtyGf/60jdGLE1m19yT/uasxkQEV7I4mUiLk5efx/rr3\nGbt1LM3Dm/N2+7cJ9Ay0O5ZcJjV2RUREpExwc3HQqVYYnWqFcepsNj9sPMjktSm8/OM2/jVjB73q\nR3BPqzgaxgTYHVVE5IJy8nJYnLKYqXumsvTAUnLzc4nxjWFIvSH0qNyDqgFV7Y4oUip5urnwz771\naF01mGcmb6L3iGWMvqcJjStVtDuaiK0yczN5etHTLEpZxO01b+evzf+qqRdKGTV2RUREpMyp6O3O\nva3juLd1HNsPnWHCqmSmrEthyroD1I/2508tY+ndIBJPN51QSETst/vUbr7b/R3TEqdxMuskIRVC\nuDP+TnpU7kHtoNraM1fkOulRL4LqoT4MGZ/AwFEreePWevRrHG13LBFbpJ5L5eF5D7P5+Gaeb/E8\nA+MH2h1JroIauyIiIlKm1Yrw49W+dXmme02mrj/A+BX7eGbyJl6fvp27W8ZyT6s4Qnw97I4pIuVM\nenY60/dOZ+ruqWw+vhlXhysdYzrSt1pfWke21py5IkWkepgvU4e3YfhX63hy4kYOn8niofZVtQFF\nypUjZ4/w4JwHSU5L5p3279A5trPdkeQq6dOCiIiIlAu+nm7c3SqOP7WMZdXek3y2dC8jFuxm1OJE\nbm0czQM3VKZKiI/dMUWkjEs8ncjXO77mhz0/kJGbQbWAajzd9Gl6Ve2lOQ1FiklFb3c+v785f5m0\nkbdm7uR4WjYv9KyFw6HmrpR9R84eYdCsQZzMOsnIziNpHtHc7khyDdTYFRERkXLFGEPLKkG0rBJE\n4rF0xizdy+S1KXyzJpkutcJ4uGM1GmgeXhG5jnLzc1mUsoivd3zNqkOrcHO4cVPlm7i95u3UC66n\nPQVFbODu6uC92xsS5OPOZ8v2kpqZw1v96+Oi5q6UYUfOHuH+WfdzMusko7qMokFIA7sjyTVSY1dE\nRETKrSohPrx+Sz2e7FKD8cuTGL9yH7M/WsaN8aE83qm6Grwick3SstOYtGsS3+z4hkNnDxHuHc7j\njR+nX/V+2jtXpARwOAx/71WbgAru/N/cXVhYvN2/gZq7UiYdzzzO4NmDOZF1gpGdR6qpW0aosSsi\nIiLlXrCPB092rcnQ9lUZvyKJTxYn0kcNXhG5SscyjvHF9i+YtHMS6TnpNAtvxjPNnqFDTAfNnStS\nwhhjeLxzdYyBd+fsAgveHqDmrpQt6dnpDJ87nKMZRxndZTQNQxvaHUmuE32qEBERESng4+HK8A7V\nuKdVHONXJDG6oMHbKT6Uv94UT40wX7sjikgJlpSaxLit4/hhzw/kWXl0ie3CoLqDqBNUx+5oIvIH\nHutUHXA2dz3dXXitb11NkyJlQnZeNn9e+Gd+PvUzH9z4gZq6ZYwauyIiIiLnKdzg/Xx5EiMX7aH7\ne4sZ0CSGJ7vWIMzP0+6IIlKC7Dy5k1GbRjF331zcXdzpV70f99a+lxi/GLujicgVeKxTdbJy8vh4\n4R6CvN15qmtNuyOJXBPLsnhh6QusOrSK19q+xg3RN9gdSa4zNXZFRERELsLHw5WHO1bjzuaVGLFg\nN+NXJPH9xgM8cEMVhrargq+nm90RRcRGu0/t5uONHzNn3xx83XwZUm8Id9W6i6AKQXZHE5Gr9HS3\nmpw8m82H83cT6O3OoDaV7Y4kctVGbxrNjKQZPN74cXpX7W13HCkCauyKiIiI/IGK3u682Ks297WO\n4+1ZO/lw/m4mrErm6W41ua1pDA7NwydSriSmJjJy40hm7p2Jl5sXD9Z/kLtr342/h7/d0UTkGhlj\n+GffupzKyOaVaduIDKhAtzrhdscSuWLz9s1jxIYR9KrSi8F1B9sdR4qIw+4AIiIiIqVFTKAXH9zR\niB8eaUOVEG/+NmUzt/xnOZtSTtsdTUSKQUpaCs8teY5bvr+FhfsXcn/d+5nZbyaPNHpETV2RMsTV\nxcH7AxtRP8qfJ77dwNaDqXZHErkiu07t4tmlz1IvuB4vtX5J80WXYWrsioiIiFyh+tEBTHywFe/d\n3pCDpzPp89Eynp2yiZNns+2OJiJFIPVcKm+veZveU3sze99s7q51NzP6zeDPTf5MgGeA3fFEpAh4\nurnwyT1N8a/gxgOfJ3A0LcvuSCKX5WzOWZ5c+CQ+bj681/E9PFw87I4kRUiNXREREZGrYIyhb6Mo\n5j/VnsFtKjMxIYWO/17IhFXJ5OdbdscTkesgOy+bz7d+To8pPfhi2xf0rNKTn275ib80+4vm0RUp\nB0L9PPnknqacyshh2Bdryc7NtzuSyCVZlsXLK15mf9p+3mr3FqFeoXZHkiKmxq6IiIjINfD1dOOF\nXrWZ8fgN1Irw5bnvNnPnmJUkHT9rdzQRuUqWZTE7aTa9p/bm3wn/pm5wXSbdPIlX27xKmHeY3fFE\npBjVjfLn3wMasC75NP+asd3uOCKXNPnnyczYO4NHGj5C0/CmdseRYqDGroiIiMh1UCPMl68faMmb\nt9Zj68EzdHtvMaMX7yE3T3v3iJQme07v4YE5D/DUoqfwcvNiVOdRjOoyipqBNe2OJiI26Vk/gvvb\nVGbssiR+3HjQ7jgiF7Tr1C7eWPUGrSNbM7ieTpZWXrjaHUBERESkrDDGcHuzSnSoGcoLU7fw+vQd\n/LjxEG/eWp/akX52xxORS0jPTmfkxpF8tf0rKrhV4PkWzzOgxgBcHC52RxOREuDZHvFsTDnN3/67\niVoRflQL9bE7ksivcvJyeG7Jc/i4+/B629dxGO3HWV7oX1pERETkOgvz82T03U346M7GHErNpM9H\nS/l44W7yNPeuSIljWRbTEqfRe2pvxm8bT59qfZh2yzQGxg9UU1dEfuXm4uCjOxvj4ebCY1+v51xu\nnt2RRH71n43/YeepnbzU6iXNAV/OqLErIiIiUgSMMfSsH8GcJ9rTtXY4b83cyR2jV7L/ZIbd0USk\nwP60/QydM5RnlzxLuHc4E3pO4KXWLxHoGWh3NBEpgcL9PXnz1vpsO3SGd2fvsjuOCAAbjm7g0y2f\ncku1W+hYqaPdcaSYqbErIiIiUoQqersz4s5GvHtbA7YdOsNN7y9hyroULEt774rYJTc/l7FbxtLv\n+35sPr6ZF1q8wJc9vqRucF27o4lICdeldhh3tajEqMWJLNt93O44Us5l5WbxwrIXCPcK55lmz9gd\nR2ygxq6IiIhIETPG0K9xNDMev4FaEb48OXEjj0xYT2pGjt3RRMqdbSe2cedPd/Lu2ndpFdmK7/t8\nz+3xt2s+QhG5bC/0rE2VEG+enLhBtVxsNXrTaPad2cfLbV7Gx13zPpdH+vQiIiIiUkxiAr34Zmgr\nnulek9nbDtPzwyVs3H/a7lgi5UJ2XjbvrX2PO3+6k2OZx3i3w7u83/F9wrzD7I4mIqVMBXcX3r+9\nEcfTs3n1p212x5FyatepXYzdMpY+VfvQMqKl3XHEJmrsioiIiBQjF4dheIdqTBrWGsuC/iOX8/ny\nJE3NIFKEdpzcwcCfBvLplk/pXbU33/f9ni6xXTDG2B1NREqpetH+DGtfhclrU1i486jdcaScycvP\n4+XlL+Pr7stfmv7F7jhiIzV2RURERGzQMCaAnx5rS7vqIfzjh608MmE9aVk6nFPkesrNz2X0ptHc\n8dMdnMo6xUedPuKVNq/g5+5ndzQRKQMe61SdaqE+PDdls2q4FKtJuyax6fgmnmn+DAGeAXbHERup\nsSsiIiJikwAvdz65pynP3hTPzK2HufnDpWw9mGp3LJEyYW/qXu6dcS8frv+QzpU6813v72gX3c7u\nWCJShni4uvB2//ocPpPFGzN22B1HyomTWSf5YP0HtIxoSc/KPe2OIzZTY1dERETERg6H4cH2Vflm\naEsyc/It6DumAAAgAElEQVS49T/L+XHjQbtjiZRalmXx313/5bYfb2Nf2j7ebvc2b7d/W3s0iUiR\naFSpIoPaVGbC6mTWJ5+yO46UAyPWjyAzJ5Nnmz+rKYVEjV0RERGRkqBZXCDTHr2BelH+PPr1et6a\nuYO8fM27K3IlzmSf4enFT/PSipdoENqAKb2n0L1yd7tjiUgZ90SXGoT5evL8d1vIzcu3O46UYdtP\nbGfyrskMjB9IlYAqdseREqBYG7vGmO7GmJ3GmN3GmL9d4H5/Y8yPxpiNxpitxphBxZlPRESkNFJ9\nLTtCfD34akhL7mheiY8X7uGB8Qmc0Zx9Ipdlw9EN3PbjbczdN5fHGz/O6C6jCfUKtTuWlHKqsXI5\nfDxc+fvNtdl26AxfrNxndxwpoyzL4o3Vb1DRsyIPNXzI7jhSQhRbY9cY4wJ8BNwE1AbuMMbUPm/Y\nw8A2y7IaAB2Ad4wx7sWVUUREpLRRfS173F0dvH5LXV7tW5fFu45xy0fLSDyWbncskRIr38pnzOYx\n3DfzPgA+v+lzhtQbgsPo4ES5NqqxciVuqhtOuxohvDN7F0fOZNkdR8qgWftmse7oOh5r9JhOAiq/\nKs5PO82B3ZZlJVqWlQ18A/Q5b4wF+BrnJCE+wEkgtxgzioiIlDaqr2WQMYa7W8by5ZAWnMrIoc9H\ny1i++7jdsURKnNNZp3l43sO8v+59usR2YdLNk2gQ0sDuWFJ2qMbKZTPG8ErvOmTn5fOmTqQm11lO\nXg7vr32fGhVr0LdaX7vjSAlSnI3dKGB/oespBbcVNgKoBRwENgOPW5b1uwlqjDFDjTEJxpiEY8eO\nFVVeERGR0uC61VdQjS1pWlYJ4vuH2xDh78m9Y1czZV2K3ZFESoytJ7Zy+7TbWXVoFS+2fJG32r2F\nr7uv3bGkbFGNlSsSF+zN4LaVmbL+AJtSTtsdR8qQibsmkpKewhNNnsDF4WJ3HClBStrxSd2ADUAk\n0BAYYYz53f7llmWNtiyrqWVZTUNCQoo7o4iISGlzWfUVVGNLophALyYNa02zuECenLiRD+b9jGXp\npGpSflmWxeRdk7l7+t1YWIy/aTy31bxNZwYXu6jGym8M71CVIG93/jltu+q1XBfp2emM2jiK5uHN\naRPZxu44UsIUZ2P3ABBT6Hp0wW2FDQKmWE67gb1AfDHlExERKY1UX8sB/wpujBvUnH6No3h3zi6e\nmbyJHJ11W8qhrNws/r7877y84mWahTfj217fUje4rt2xpOxSjZUr5uvpxpNda7A66SSzth62O46U\nAeO2juPUuVM80eQJbcSU3ynOxu4aoLoxpnLBZPIDgR/OG5MMdAIwxoQBNYHEYswoIiJS2qi+lhPu\nrg7eGdCAxztVZ9LaFAaNXcOZrBy7Y4kUm8NnD3PPjHuYunsqwxoM4+NOH1PRs6LdsaRsU42Vq3J7\n0xhqhvnyrxk7OJebZ3ccKcVOZJ5g/LbxdIvrpg2ZckHF1ti1LCsXeASYBWwHJlqWtdUYM8wYM6xg\n2KtAa2PMZmAe8FfLsnSmEBERkYtQfS1fjDE80aUGb/evz8rEEwwctZJjaefsjiVS5DYe28jAaQNJ\nTkvmwxs/5OGGD2uOQSlyqrFytVxdHDzfsxb7TmTwxYp9dseRUmzc1nGcyzvHww0ftjuKlFCuxbky\ny7KmA9PPu21kocsHga7FmUlERKS0U30tfwY0jSHE14NhX67ltlEr+GJwc6IretkdS6RI/LDnB15a\n/hJhXmGM6TqGahWr2R1JyhHVWLla7WqE0LFmCO/P+5n+TaIJ8HK3O5KUMicyT/DNjm/oUbkHlf0r\n2x1HSqiSdvI0EREREbkMHWqG8uXgFpxIP8eAkSvYfTTd7kgi11Vefh7vJrzL80ufp2FoQ77u+bWa\nuiJSqvztplqkn8tl1GLNziFX7vOtn5Odn83Q+kPtjiIlmBq7IiIiIqVU07hAvn2wFTl5FreNWsHm\nlFS7I4lcF+nZ6Ty24DHGbh3L7TVvZ1SXUQR4BtgdS0TkitQM96V3g0jGLUvS1ElyRU5knuCbndpb\nV/6YGrsiIiIipVitCD8mD2uFl7sLd3yykhV7TtgdSeSaHEw/yJ+m/4llB5bxfIvneaHlC7g53OyO\nJSJyVf7cuQbZefl8vHC33VGkFPl86+ecyzunvXXlD6mxKyIiIlLKxQV7M3lYayL8Pblv7GoW7zpm\ndySRq7L9xHbumn4XRzOOMrLLSAbGD7Q7kojINakc7E3/xtF8tTKZg6cz7Y4jpYD21pUrocauiIiI\nSBkQ7u/JxAdbUTXEhyHjE1iw86jdkUSuyLIDy7hv5n24OlwZf9N4Wka0tDuSiMh18Vjn6gB8OF97\n7cof+3yb9taVy6fGroiIiEgZUdHbnQkPtKBGmA8Pjl/LvO1H7I4kclm++/k7Hp73MJX8KvFVj690\nkjQRKVOiAipwZ4tKTErYz74TZ+2OIyVYWnYaE3dOpGtsV+2tK5dFjV0RERGRMiTAy52vBrckPsKX\nYV+uZfbWw3ZHErkoy7L4aMNH/H3532kR0YJx3ccR6hVqdywRketueMequLoY3p/3s91RpASbtGsS\nZ3POMqjuILujSCmhxi6Qn2/ZHUFERETkuvH3cuOLwS2oHenP8K/WMXPLIbsjifxOTn4OLy57kZEb\nR9K3Wl9GdBqBt5u33bFERIpEqK8nd7WI5fsNB9l/MsPuOFICZedl8+W2L2kZ0ZLaQbXtjiOlhBq7\nwD9/2k7fj5YxatEeHRYhIiIiZYJ/BTe+GNycetH+PDxhPTO3aM9dKTmycrP484I/8/2e7xneYDiv\ntH4FN4eb3bFERIrU0HZVcDGGkYv22B1FSqCfEn/iWOYx7a0rV0SNXaBaqA95+Rb/mrGD9m8v5Kb3\nl/DBvJ/ZdSQNy9LevCIiIlI6+Xm6Mf7+5tSP9ufRr9fphGpSIqRlpzFs7jCWpCzhxZYv8lDDhzDG\n2B1LRKTIhfl50r9pNJMSUjhyJsvuOFKC5Fv5jNs6jvjAeFpFtLI7jpQiauwCd7aoxI+PtmXpXzvy\nQs9a+Hi48H9zd9H1/xbT6d1FvDVzB5tTUtXkFRERkVLH19ONcYOaUyPMl2FfrGX57uN2R5Jy7GTW\nSQbPGszGoxt5q91b3FbzNrsjiYgUq2HtqpJnWXyyONHuKFKCLE5ZTGJqIvfVuU8bO+WKqLFbSHRF\nL4bcUIVJw1qz6tlOvNq3LpH+FRi1OJGbRyyl7ZsLeHXaNhKSTmpeXhERESk1nNMytCA2yIsh4xNY\nu++k3ZGkHDqUfoh7Z9zL3tS9fHDjB3Sv3N3uSCIixa5SkBe9G0Ty1apkTp7NtjuOlBBjt4wl0juS\nrnFd7Y4ipYwauxcR6ufJ3S1j+XJICxKe78xb/esTH+7LFyv20X/kClr8ax4vTN3Mst3Hyc3Ltzuu\niEiZYlkWR84esTuGSJkS6O3Ol0NaEObnyX2frWFzSqrdkaQc2Zu6l3tm3sPxzOOM7DKSG6JvsDuS\niIhthneoSmZOHmOX7bU7ipQAm45tYt3Rddxd+27NNy9XzNXuAKVBRW93bmsaw21NY0jLymH+jqPM\n2nqY/649wJcrk6no5Ub3uuH0rBdJyyqBuLqoXy4icqUyczNZdWgVi1IWsThlMZZlMW/APB2KJHId\nhfp68tWQFgwYuYK7P1vFN0NbEh/uZ3csKeN2nNzBg3MeBOCzbp9RK6iWzYlEROxVPcyX7nXCGbc8\niQfaVcHPU8288uyr7V/h4+ZDv+r97I4ipZAau1fI19ONPg2j6NMwiszsPBb/fIzpmw/xw4aDfL16\nP0He7s4mb/0IWlQOwsWhhoSIyMUcSj/0ayN39eHVnMs7h5erF60jW9Muuh25Vi5uRh90Ra6nyIAK\nfP1AS24btYK7P13Nf4e1plKQl92xpIzaenwrD8x5AG83bz7p8glx/nF2RxIRKRGGd6zKzK2H+WZ1\nMkPbVbU7jtjkWMYxZifNZmD8QLzc9HlMrpwau9eggrsL3eqE061OOFk5eSzceYxpmw4yZd0BvlqV\nTLCPBz3qhdOrfiRNYyviUJNXRMq5fCuf7Se2s2D/AhbuX8jOUzsBiPGNYUCNAdwQfQNNw5ri7uJu\nc1KRsq1SkBdfDG7OgFEruOezVUx+qDXBPh52x5IyZtOxTQybMww/Dz8+7fYpUT5RdkcSESkx6kcH\n0KJyIGOXJTGoTWXcdORvuTRp1yTyrDzuiL/D7ihSSqmxe514urnQvW443euGk5mdx/wdR/lp80Em\nJuxn/Ip9hPl50KNeBL3qR9AoRk1eESk/snKzWH14NQv2L2Dx/sUczTyKwzhoGNKQp5o8RbuYdlT2\nq6wpF0SKWfUwXz69txl3jVnJfWNX8/UDLfHVoaBynaw/up6H5j5EoGcgn3X7jHDvcLsjiYiUOA/c\nUIUh4xOYvvkQfRpq41d5k5OXw8SdE2kb1ZZKfpXsjiOllBq7RaCCuws960fQs34EZ8/lMm/HUaZt\nPMhXq5IZuyyJSH9PetRz3t8wJkDNDBEpc45nHmdJyhIW7l/IikMryMzNxMvVizZRbegQ04Ebom6g\nomdFu2OKlHtNYivyn7uaMGR8Ag9+sZaxg5rh4epidywp5RIOJzB83nDCvMIY03UMYd5hdkcSESmR\nbowPpUqIN2OW7KV3g0j1BsqZWftmcSLrBHfVusvuKFKKqbFbxLw9XOndIJLeDSJJy8ph7vYj/LTp\nEJ+vSGLM0r1EBVSgV/0Ibm4QSZ1IP72Ri0ipZFkWiamJv06xsOnYJiwswrzC6F21Nx1jOtIsvJmm\nWBApgTrGh/J2//o8OXEjT367kQ/uaKRzBMhVW3VoFY/Of5QI7wjGdB1DiFeI3ZFEREosh8MwuG1l\nnv9uC6v2nqRllSC7I0kx+nr718T5xdEqspXdUaQUU2O3GPl6unFLo2huaRRNamYOc7Yd4adNB/l0\n6V5GLU6kWqgPfRpE0rthJLFB3nbHFRG5pJz8HNYfWc+C/QtYlLKI/Wn7AagdVJuHGj5Eh+gOxAfG\na4OVSCnQr3E0J9KzeW36dgK93XmlTx39vytXbPnB5Tw2/zFifGP4pOsnBFcItjuSiEiJd2vjaN6Z\nvYsxSxLV2C1HNh/bzKbjm3i2+bM4jOZXlqunxq5N/Cu40b9JNP2bRHPqbDbTtxzi+w0HeWfOLt6Z\ns4uGMQH0aRhJz/oRhPp62h1XRASAjJwMlh5Yyvz981mcspi07DTcHe60iGjBfXXuo110O82jKFJK\nPdCuCsfTzzFqcSLBPh483rm63ZGkFFl1aBWPzX+MWL9YPun6CYGegXZHEhEpFTzdXPhTy1g+mPcz\nicfSqRLiY3ckKQYTdkzA282bPtX62B1FSjk1dkuAit7u3NUilrtaxHLwdCY/bjzI9xsO8vKP23h1\n2jbaVAumd4NIutUNx08nNRGRYnY66zQLUxYyL3keKw6u4FzeOQI8AugY05EbY26kVWQrvNy87I4p\nItfB326K53h6Nv83dxeRAZ4MaBpjdyQpBdYeWcuj8x8lxjeGMV3HaA51EZErdE+rWEYu2sOnS/fy\n2i317I4jRex01mlmJc2if43+eLvpaG25NmrsljCRARV4sH1VHmxflZ+PpPFDQZP36cmbeH7qFjrF\nh9KnYSQdaobi6aaTm4hI0Th89jDzkucxP3k+a4+sJc/KI9w7nP41+tOpUicahTbC1aESIlLWGGN4\n49Z6HDmTxbNTNhMZUIE21XQ4vVzcxmMbGT7XeaK0T7p+oqauiMhVCPbx4JaGUfx3XQrPdIvH30s7\ndJVl3+/5npz8HPrX6G93FCkD9K28BKse5stTXWvyZJcarN9/mh82HGTapoPM2HIYXw9XutcNp2+j\nKFpWCdJJTkTkmiWeTmRe8jzmJc9j64mtAFTxr8L9de+nU6VO1A6qrTk3RcoBNxcHH/+pMQP+s4Jh\nX6xl8kOtqRnua3csKYG2ntjKQ3MeIqhCEGO6jtGcuiIi1+Ce1rF8m7CfSWv3M+SGKnbHkSJiWRaT\nd02mQUgDalSsYXccKQPU2C0FjDE0rlSRxpUq8kLPWizfc4LvNzgbvJPWphDi60HvBpH0axxF7Qg/\nNV5E5LJYlsWW41t+beYmnUkCoF5wPR5v/DidKnWisn9le0OKiC38PN34bFAz+n60jPvHreG74a0J\n9dOc//I/O0/u5ME5D+Ln4cenXT8lzDvM7kgiIqVanUh/msVV5IuV+7i/TWUc2nmrTFp7ZC1JZ5J4\ntc2rdkeRMkKN3VLG1cVBuxohtKsRwms5dZm/4yhT1x9g/IokPl26l/hwX25pFEXfRlGE6QuYiJwn\nNz+XtUfW/jrNwpGMI7gYF5qGN+XOWnfSMaajTn4mIgBEBVRg7H3NuG3UCu7/fA3fDm2Ft4c+Ogrs\nOb2HoXOG4uniyZiuY4jwibA7kohImXB3qzge+3o9i34+RseaoXbHkSIw+efJ+Lr50i2um91RpIzQ\np/NSzNPNhR71IuhRL4JTZ7OZtukg/113gH/N2MGbM3fQplow/RpH0a1OOF7u+qcWKa9y8nJYcWgF\nc/bNYcH+BaSeS8XTxZPWka15rPFjtI9uj7+Hv90xRaQEqhvlz4d3NOKB8Qk89vV6Rt/TVNM/lXP7\nzuxjyOwhOIyDT7t9SrRvtN2RRETKjO51wgnx9WD88iQ1dsug01mnmZM0h37V+1HBtYLdcaSMULev\njKjo7c7dreK4u1UcicfS+W79AaasO8AT327Ey30L3euGc2vjaM3HK1JOnMs7x/IDy5mzbw4L9y8k\nLScNXzdf2se0p3OlzrSOaq0PEyJyWTrVCuPl3nV48futvPLjVl7qXUfTPpVTB9MPMnjWYPKtfD7r\n9hmxfrF2RxIRKVPcXR3c2bwSH8z/maTjZ4kL9rY7klxHPyb+SHZ+tk6aJteVGrtlUJUQH57qWpMn\nOtdgTdJJpqw7wPTNh5iy7gAR/p70aRjFrY2jqB6mE6GIlCVZuVksO7CM2ftmsyhlEWdzzuLn7ken\n2E50ie1Cq4hWuLnoDLsicuXubhXHvhMZjFm6l8rB3tzXRvNvlzcnMk8wdM5QMnIzGNttLFUDqtod\nSUSkTLqzRSU+WrCbL1fu44Vete2OI9fJLydNqx9Sn5qBNe2OI2WIGrtlmMNhaFEliBZVgni5Tx3m\nbDvCd+sP8MmSREYu2kO9KH9uaRRF74aRBPt42B1XRK5CRk4GSw8sZc6+OSxKWURmbiYBHgF0j+tO\n19iuNItohptDzVwRuXbP9ahF0okMXv1pO1VDfbiheojdkaSYpGWnMWzuMI5mHGV0l9H6QioiUoTC\n/DzpXjeciQn7ebJrDU2rWEasO7qOxNREXmn9it1RpIzRO0Q54enmws0NIrm5QSTH0s7xw8aDfLc+\nhVembeO16dtpXyOE/k2i6VQrFA9XF7vjisglnM05y+KUxczZN4clKUvIyssi0DOQm6vcTJe4LjQN\na4qrQ2/vInJ9ORyG9wY25NaPl/PwV+uY+nAbqoT42B1LilhmbiaPzHuE3ad3M+LGETQMbWh3JBGR\nMu/e1nFM23SI7zcc5I7mleyOI9fB5F2T8XHz0UnT5LrTN/9yKMTXg8FtKzO4bWV2HUljyroDTF1/\ngOE71hHg5UbfhlH0bxJNnUg/zaEnUkKkZaexKGURc5LmsOzgMs7lnSO4QjB9q/Wla1xXGoc2xsWh\njTIiUrR8PFwZc29T+ny0jCGfJ/Dd8Db4e+mogLIqJz+HpxY+xfqj63mr/Vu0iWpjdyQRkXKhaWxF\nakX48fnyJAY2i9H38lIu9Vwqs5Nmc0v1W/By87I7jpQxauyWczXCfPnbTfE83a0mS3cfZ1LCfias\nTmbc8iTiw30Z0DSGvg0jCdJUDSLF7kz2GRbuX8jspNksP7icnPwcQr1C6V+jP11ju9IgpIGauSJS\n7GICvfjPXY3506ereOTrdYy9rxmuLg67Y8l1lm/l8/zS51lyYAl/b/V3usd1tzuSiEi5YYzhnlax\nPDtlM2uSTtG8cqDdkeQaTN87XSdNkyKjxq4A4OIwtK8RQvsaIaRm5PDDxgNMWpvCq9O28caM7dwY\nH8qAJjF0qBmiL28iRSg9O50F+xcwM2kmyw8uJzc/lwjvCO6Iv4MusV2oH1Ifh9H/gyJirxZVgvhn\n37r89b+beW36dv5xcx27I8l1ZFkWr696nRl7Z/Dnxn9mQI0BdkcSESl3+jSM5PWftjNh1T41dku5\naXumUaNiDeID4+2OImWQGrvyO/5ebtzdKo67W8Wx83AakxL2M3XDAWZtPUKwjwf9GkcxoEk01cN8\n7Y4qUiZk5GSwOGUxM/bOYOmBpWTnZxPhHcFd8XfRLa4bdYPr6vArESlxbm9WiZ2H0/ls2V5qhPlq\nDsAyZMSGEXy781sG1R3E4HqD7Y4jIlIuebm70rdRFN8m7OcfZ7Op6O1udyS5CkmpSWw6voknmzxp\ndxQpo9TYlUuqGe7LC71q89eb4lmw4yiT1qbw2dK9jF6cSIOYAPo3iaZ3g0j8K2h+PZErkZWbxdID\nS5mZNJPFKYvJzM0kpEIIA2oOoHtcd+2ZKyKlwnM94tl9LJ0Xp26hcrA3LasE2R1JrtFX279i9KbR\n3Fr9Vp5o/ITdcUREyrU7mlfii5X7mLL+AIPbVrY7jlyFaYnTMBh6VO5hdxQpo9TYlcvi5uKga51w\nutYJ53j6OaauP8DktSm8OHULr07bRrc64QxoEk2basG4OLRnociF5OTlsPzgcmYkzWBB8gIycjMI\n9Aykd9XedIvrphOgiUip4+ri4MM7GnHLx8t46Mu1/PBIW2ICdVKQ0mpW0izeXP0mHWM68mLLF3W0\niIiIzWpH+tEwJoCvVydzf5s4vS+XMpZlMS1xGi0iWhDmHWZ3HCmj1NiVKxbs48GQG6owuG1lthw4\nw6S1+/l+w0F+3HiQCH9Pbm0czYCm0cQGedsdVcR2Ofk5rD60mplJM5mXPI+07DT83P3oXrk73eO6\n0yy8Ga4OvRWLSOnlX8GNT+9tRp8RS3lgfAJThrfGy13va6XNmsNreHbJszQIacBb7d7ShkYRkRLi\nzuaVeOa/m0jYd4pmcZprtzTZcGwDB9IPMLzhcLujSBmmT91y1Ywx1Iv2p160P8/1qMXc7UeYlJDC\nxwt3M2LBblpXDeL2ZjF0qxOOp5u+HEj5kZefR8KRBGYmzWTuvrmcPncaHzcfbqx0I93iutEqohVu\nLpq+RETKjsrB3nxwRyMGjVvD3/67mfcHNtReRaXIz6d+5vH5jxPtG82ITiPwdPW0O5KIiBTo1SCC\nV6ZtY8KqZDV2S5kf9/yIp4snnSp1sjuKlGFq7Mp14enmQq/6kfSqH8mh1EwmJ6TwbcJ+Hv9mA/4V\n3LilURQDm8cQH+5nd1SRIpFv5bPh6AZmJs1kzr45HM88TgXXCnSI6UD3uO60iWqDh4uH3TFFRIpM\nh5qh/KVrTd6etZP60f4MuaGK3ZHkMhw+e5hhc4fh6erJyM4j8ffwtzuSiIgU4jyJWiQTE1L4x821\nCfDSSdRKg+y8bGYlzeLGSjfi7aajmaXoFGtj1xjTHXgfcAHGWJb1xgXGdADeA9yA45ZltS/OjHLt\nIvwr8Gin6jzcsRrL95zgmzXJTFiVzLjlSTSICWBgsxhubhCJj4e2K0jpZlkWW45vYUbSDGYnzeZI\nxhE8XDxoF92ObnHdaBfdjgquFeyOKeWA6quUFMM7VGVzSir/mrGD2hF+tK4WbHckuYTUc6k8NPch\nMnIyGNd9HJE+kXZHEilxVGOlJLizeSxfrkxmyroD3K+TqJUKS1KWcCb7DDdXvdnuKFLGFVtnzRjj\nAnwEdAFSgDXGmB8sy9pWaEwA8DHQ3bKsZGNMaHHlk+vP4TC0rR5M2+rBnDybzXfrD/DtmmSenbKZ\nV6dto1f9CG5vVonGlQJ0uKaUKompiUxPnM70vdPZn7YfV4crbSPb8kSTJ+gQ00FbZKVYqb5KSWKM\n4d+3NaDvR8t45Ov1/PBIG6Ir6mRqJdG5vHM8vuBxks4kMbLzSGoG1rQ7kkiJoxorJUXtSD8aFJxE\nbZBOolYq/Jj4I0GeQbSMaGl3FCnjinOXyebAbsuyEgGMMd8AfYBthcbcCUyxLCsZwLKso8WYT4pQ\noLc7g9tW5v42cWzYf5pv1+znh40HmZiQQvVQH25vFkO/xtEEeuuwEimZDp89zMy9M5m+dzrbT27H\nYRw0D2/OA/UeoFNsJ/zcNc2I2Eb1VUoUHw9XRt/dhD4jljHsy7VMHtZac+2XMHn/z959x1dZn/8f\nf93nnOy958lihbBCBpFNgLDBCaKo1aqtiGKt+2utrdpWrXWvWqv9qSAyHJCwZAsikIS9SQJZhBkS\nstf9++OckEGABJPcJ8n1fDzyyJ1wn5MrrfA5531f9/Wpqea5n54j5VQKr494nTi/OK1LEsJSyRor\nLMadg4w8s2QvKSfyiZFZuxatoLyAjdkbuSP8DtkoW7Q5XTv+rAAgq97X2ebv1dcTcFMUZYOiKCmK\notzT1BMpivI7RVGSFUVJPnPmTBuVK9qCoigMDHLj1Vv7s/35sbx2az8cbQ28knSQuL+vYc78VH46\neoaaGlXrUoXgQtkFFh5eyL0r7yVhcQL/SvkXBp2BZ2KfYc1ta/jPuP9wc4+bJdQVWmu19RVkjRWt\nI8zLkbdnRrIvp5D/+24vqirruqVQVZXXdrzGjyd+5KmYp5gYOlHrkoSwZLLGCosxpb9pnOH8bZla\nlyKuYdXxVVTVVDElbIrWpYguwNIuHRiAaGAMYAdsVRTlF1VVj9Q/SVXVT4BPAGJiYuSdQgflaGPg\n9tggbo8N4nDeRb7ZkcW3O7NJ2nOSAFc7bo81Mj0mED8XmVEq2k9JZQnrs9azImMFW3K2UKVWEeoS\nyiORjzAxdCJBzkFalyjE9WjW+gqyxorWM6a3D38Y24O31xylf4AL9w6VmYCW4LN9n/H1oa+5J+Ie\n7swlDuQAACAASURBVOlzxfxJCNF8ssaKduFgY+DGSH8Wp2Tzlxv74GxrpXVJ4gqWpS2jm0s3erv3\n1roU0QW0Z7CbAxjrfR1o/l592cA5VVWLgWJFUTYBA4DLFkXRufTydeLPUyN4ZmIvVu8/xTc7snjz\nxyO8veYII3t6cXtsEGN6e2Olb88mc9FVVFZX8nPuzyRlJLEhawOlVaX42Ptwd8TdTAqbRC+3XjLH\nSlgyWV+FxZo7ugf7cgp4Jekgvf2ciQvz0LqkLm15+nLeTn2biaETeSLmCa3LEaIjkDVWWJQZMUbm\nbctk2e5cZsUFa12OaELWxSx2ndnFY1GPyXtI0S7aM9jdAfRQFCUU02I4E9M8ovp+AN5XFMUAWANx\nwFvtWKPQmI1Bz9QB/kwd4E/W+RIWJmexMDmLh75KwcvJhhkxgcyMDcLoLhuxiF+nRq0h5VQKKzJW\nsPrEagrKC3CxcWFq2FQmhk4kyicKnSIXEkSHIOursFg6ncKbt0dy0/tbmDM/lWWPDpM7cTSSciqF\nP235E9E+0bwy9BVZ44RoHlljhUXpH+hCLx8nFiZnS7BroRLTEwFkDINoN+0W7KqqWqUoyiPAKkAP\nfKaq6n5FUR4y//nHqqoeVBRlJbAHqAE+VVV1X3vVKCyL0d2eJ8b14rExPdh45Azzt2Xy0YY0PtyQ\nxogeXtwxSLp4Rcuoqsqh84dYnrGcFRkrOFVyCjuDHfHGeCaHTWaw32Cs9HJLk+hYZH0Vls7Z1op/\n3x3NTR9sYfZXqSz8/WCsDbJ2t6fjBcd5bP1jBDgG8E78O1jrZbNaIZpD1lhhaRRFYXpMIK8kHeRw\n3kV6+TppXZKoR1VVEtMSifWNxdfBV+tyRBehdPTNLGJiYtTk5GStyxDtJPdCKd/syOKbHVnkFZbh\n7WTDjBgjt8capYtXXNGJwhOXwtyMggwMioFhAcOYFDaJkYEjsbeS/3Y6M0VRUlRVjdG6jo5I1ljR\nmpL2nGTO/FTuHRLCX6b10bqcLiO/LJ+7lt/FxYqLzJs0D6Oz8doPEqKZZI29frLGiut1rqicuL+v\n5d4hIfxpSoTW5Yh6dp/ZzV3L7+KlIS9xc4+btS5HdGAtWV8tbfM0Ia7K39WOxxN68ujo7mw4fIb5\n2zP5cMMxPthwTLp4RQNnSs6w8vhKlqcvZ9+5fSgoRPtEc3fE3SQEJeBq66p1iUII0aVM7u9HamYo\n/92cwcAgV26MbLyxvGht5dXlzF03l7ziPP47/r8S6gohRCfg4WjD2N4+fLczh6cnhMtdMBYkMS0R\nG70NCcEJWpciuhAJdkWHZNDrGBvhw9gIH3LMXbwLd5hm8Xo72XB7rJEZMdLF29WUVJawNnMty9KW\nsS1vGzVqDb3de/NkzJOMDxkvt8MIIYTGnp0Yzu6sCzy7ZC8Rfs708JFbSNtKjVrDnzb/iV1ndvHG\nyDeI9I7UuiQhhBCtZEZsICv357Hu0Gkm9JX3OJagsrqSlcdXEm+Mx9HaUetyRBciwa7o8AJc7fhj\nQk/mju7O+sNn+Hp7Ju+vP8b7601dvHfGBTEm3BuDdPF2SlU1VWzN3UpieiLrs9ZTWlVKgGMAD/R7\ngMlhkwlzCdO6RCGEEGZWeh0fzIpi8rs/8dBXKfzwyDAcbeTlaFt4b+d7rDy+ksejH2d8yHityxFC\nCNGKRvTwwsfZhkXJWRLsWojNOZu5UH6Bqd2mal2K6GLklbToNAx6HQkRPiTU6+L9Zkcmv/+yrov3\n9lgjgW7SxdvRqarK/nP7SUxPZEXGCs6XncfZ2pmpYVOZ0m0KkV6RKIqidZlCCCGa4ONsy3t3RDHr\n0194Zske3r9joPyb3cqWHFnCp3s/5baet3Ffn/u0LkcIIUQrM+h13BoVyMcb0zhVWIaPs63WJXV5\ny9KX4W7rzmD/wVqXIroYCXZFp9S4i3f+thOXunhH9jTP4pUu3g4n+2I2SelJJKYncrzwONY6a0Ya\nRzIlbArDA4ZjpbfSukQhhBDNMLibB0+ND+e1lYeIDnLjt8NCtS6p0/g592de/uVlhvoP5fm45yU0\nF0KITmp6jJEPN6TxbWoOs0d107qcLq2wopCNWRu5redtWOnkPaloXxLsik6tfhdvdn4JC3dk8U1y\nFr//MgUfZxtmxEgXr6W7UHaB1SdWk5ieyM7TOwGI8Ynh3j73khCSgLO1s8YVCiGEuB4PjQwjNTOf\nvy8/yACjC9HB7lqX1OEdzT/KExueIMw1jDdGvoFBJy/1hRCiswr1dGBQiDuLkrN4aGSYXMjT0I/H\nf6SipkLGMAhNyKs90WUEutnzx3G9mDumB+sOnWZ+vVm8I3t6ceegIEZLF69FKK8uZ1P2JpalLeOn\nnJ+oqqmim0s3Hot6jMmhk/Fz9NO6RCGEEL+Soii8MX0A097fzMPzUkmaOxxPRxuty+qwzpSc4eG1\nD2NvsOfDMR/Kxi1CCNEFTI8J5KnFe0g5kU9MiFwg1cqy9GWEOIfQx6OP1qWILkiCXdHlGPQ6xvXx\nZVwfX7LzS8yzeLP43Zcp+DrbMnOQkZmxQfi6yJyi9lSj1pByKoWk9CRWH1/NxcqLeNp5cmf4nUwJ\nm0K4e7hchRZCiE7Gxc6Kj2ZFc/OHW5j79U6+vD8OvU7+rW+pksoSHln3CAXlBfxvwv/wdZCNdIQQ\noiuY1M+Pvyzdz8LkLAl2NZJTlEPKqRQeiXxE3q8KTUiwK7q0QDd7nhjXi8fG9GDNQVMX79trjvLe\numOM7e3NrLhghnX3RCdvMtvMsfxjJKYnkpSRRF5xHnYGOxKCE5gcNpk43zj0Or3WJQohhGhDEf7O\nvHJTX55avIc3fzzMU+PDtS6pQ6muqeaZTc9w6Pwh3o1/lwiPCK1LEkII0U4cbAxM6e/Psj25vDi1\nDw42EvG0t6T0JACmdJuicSWiq5K/9UJg6uKd0NeXCX19OXGumK+3Z7EwOYtV+08R5G7PnXFBTI8O\nxENuEW0VZ0rOsDxjOYnpiRw6fwi9omeI/xAej3qcUcZR2FvJzGMhhOhKpscYSc3M54P1aQw0ujE2\nwkfrkjqMfyb/kw3ZG3hu0HOMNI7UuhwhhBDtbEZsIN8kZ5G09yQzYoxal9OlqKpKYnoiUd5RBDgG\naF2O6KIk2BWikWAPB56dGM7jCT1YuS+PedsyeXXFId5cfYQJfX2ZFRfEoFB3uc2ihYori1mbuZbE\ntES25W2jRq2hr0dfnh30LONDxuNp56l1iUIIITT04tQ+7M0p4PGFu0h6dDhBHnKR71rmHZzHvIPz\nuKv3XdzZ+06tyxFCCKGBqCA3wrwcWJScJcFuOztw7gAZBRncM/gerUsRXViLg11FURyAMlVVq9ug\nHiEsho1Bz42RAdwYGcDRUxeZty2TJanZLN2dSw9vR2bFBXFzVCAudlZal2qxKmsq2Zq7lcT0RNZn\nrqesuowAxwAe7Pcgk8MmE+oSqnWJQlgUWWNFV2ZrpeejWdFMeW8zs+elsGT2EGytZBzPlWzM2sjr\nO14n3hjPkzFPal2OEBZP1ljRWSmKwowYI6+uOET6mSLCvGTzzPayLH0ZVjorxoWM07oU0YXprnWC\noig6RVHuVBQlSVGU08Ah4KSiKAcURfmnoijd275MIbTVw8eJv0zrw/b/G8vrt/XH3sbAX5YdIO7v\na3h68W52Z11AVVWty7QIqqqy7+w+Xt3+KmMXjWXO2jlsydnCtG7T+GLiF6y4ZQWPDHxEQl0hkDVW\niMaM7va8dfsA9ucW8pel+7Uux2IdPn+YpzY9RS+3Xrw6/FWZRy9EE2SNFV3JLQMD0OsUFqdka11K\nl1FZU8mKjBWMMo7C2dpZ63JEF9acjt31wBrgOWCfqqo1AIqiuAPxwGuKonynqupXbVemEJbBzlrP\njBgjM2KM7M0uYP72E3y/M5eFydn0DXBmVlww0wb4d8mh9VkXs0hKTyIpPYnjhcex1lkz0jiSKWFT\nGB4wHCu9dDYL0QRZY4VoZHS4D3Piu/HB+jSig92YLreVNnC65DRz1s7BydqJ98e8L3PphbgyWWNF\nl+HtbMuonl4sSc3miXG90Mvm321ua+5WzpedZ0qYbJomtNWc9GmsqqqViqLcBuyt/aaqqueBJcAS\nRVEksRFdTr9AF/4R2J/nJvXmh505fPVLJs99u5e/Jx3k5qgA7owLIty3c1+5u1B2gdUnVpOYnsjO\n0zsBiPGJ4b6+9zE2eKxcuRTi2mSNFaIJf0zoxc7MC/zp+3308Xchwl/WE4CSyhIeXfcohRWFfDHx\nC7ztvbUuSQhLJmus6FKmxwSy9qvTbDp6hvhesj60tcS0RFxtXBkeMFzrUkQXd81RDKqqVpoPvwTm\nK4py6V4vRVHua3SOEF2Os60Vdw8OYeUfhrNk9mASInxYsCOLCW//xG0f/cx3O7Mpq+w8o7zKq8tZ\nfXw1c9fNJX5RPC//8jKF5YU8FvUYq29dzecTPueWHrdIqCtEM8gaK0TT9DqFd2YOxMXOiofnpVBY\nJn8NatQanvvpOQ6dP8Q/R/yTcPdwrUsSwqLJGiu6mtHhPrg7WLMoOUvrUjq9oooi1mWtY3zIeLkz\nVWjumsFuPYeAjTS8svlo65ckRMekKArRwe68eXskvzw3hucn9eZsUTmPf7Obwf9Yy9+XHyTjbLHW\nZV6XGrWGHXk7ePHnF4n/Jp4nNj7BvrP7mBU+i0VTF/Hdjd/xQL8H8HP007pUIToqWWOFaMTLyYYP\nZkWRlV/K04v2dPlZ9m+nvM26rHU8FfMUI40jtS5HiI5E1ljRJVgbdNwUGcCPB05xvrhC63I6tR9P\n/Eh5dbmMYRAWoSWDQFVVVT9WFKUEWKooyi2ADG4RognuDtY8OCKM+4eFsjX9HPO2neCzzRl8simd\nYd09mRUXxNgIH6z0Lbm20v6O5R8jMT2RpIwk8orzsDPYkRCcwOSwycT5xslmLUK0HlljhWhCbIg7\nz00M55Wkg3z6UwYPjgjTuiRNLD6ymM/3f87tvW5nVu9ZWpcjREcja6zoMmbEBvLZlgx+2JXDfUNl\ns+q2kpieSJBTEAO8BmhdihAtCnbzAVRV/cK8KCYBsluDEFeh0ykM7e7J0O6enC4sY2FyFl9vz2L2\nvFS8nGyYGWtk5qAgAlzttC71ktMlp1mRsYLE9EQOnT+EXtEzxH8Ij0c9zijjKNmkRYi2IWusEFdw\n/7BQUk7k8+rKQwwwujIo1F3rktrV1tytvPLLKwwNGMqzg55FUSSPEqKFZI0VXUa4rzP9AlxYlJwt\nwW4bySvOY0feDmYPmC1rsrAIzQ52VVUdU+94saIoZcD/2qIoITojb2dbHhndg9mjurPh8Gnmbcvk\n/fXH+GD9MUaHezMrLpgRPb002cG0uLKYtZlrWZa2jG0nt6Gi0tejL88OepbxIePxtPNs95qE6Epk\njRXiyhRF4fXb+nPo/S08Mj+VpLnD8XKy0bqsdpF2IY0nNjxBqEsob4x4A4OuJT0ZQgiQNVZ0PTNi\nAnnhh/3syymgb4CL1uV0OknpSaioMoZBWIxrvjpUFEVRmxhqpqpqIuB5tXOEEJfT6xTG9PZhTG8f\nsvNLWLA9iwU7slhzcAcBrnbcGRfE9JhAvJ1s27SOqpoqtuZuZVn6MtZnrqesuowAxwAe7P8gU8Km\nEOoiV3hFM6kqVJZCRTFUFkNFSb3j2q+LoLKk0XFx3Uel+fsVJXXHVvbwxCGtf7s2JWusEM3jZGvF\nh7OiuPnDLcz9eidf3j8Ig4WPM/q1zpWeY87aOVjrrflgzAc4WjtqXZIQHYqssaKrmjYggJeTDrI4\nJVuC3VamqiqJ6YkM8BqA0dmodTlCAM3r2F2vKMoS4AdVVTNrv6koijUwDPgNsB656ilEiwW62fPk\n+F48NrYHPx44xbxtJ/jnqsO89eMRxvfxZVZcEIO7ebTaLR6qqrL/3H4S0xNZkbGC82XncbZ2Zlq3\naUzpNoVIr0i5naQzq6luOkhtEMheKXRt4rj+17TgPZHeBqztwcoBrB1Mx9aO4Ojb8Gtb1zb7n8KC\nyBorRDP19nPmlZv68eSi3bz54xGenhCudUltpry6nMfWP8bZ0rN8Pv5z/B39tS5JiI5I1ljRJbnY\nWzG+jy/f78rhuUnh2BhkX5TWcuj8IY5dOMaf4v6kdSlCXNKcYHcC8Fvga0VRwjDNKLIDdMBq4G1V\nVXe2XYlCdH5Weh2T+vkxqZ8f6WeKmL8tk8Wp2STtPUmYpwN3xgVxW3QgrvbW1/X82RezSUpPIjE9\nkeOFx7HSWTHKOIrJYZMZHjAca/31Pa9oA6oK1RWNwtN6na9NdsFeI3St/agub1ktVrUhq0PDENbB\ny9RNWxvAWpnPqf2wMn/f2r7hce3z6OVW4npkjRWiBW6LDiTlxHk+3JBGVJAbYyN8tC6p1amqygub\nX2D3md38a+S/6OfVT+uShOioZI0VXdb06ECW7c5lzYHTTO7vp3U5ncay9GUYdAbGh4zXuhQhLlFa\ncueJoihOgBNQoqrqhTarqgViYmLU5ORkrcsQotWVVVazfO9J5m3LJOVEPtYGHVP6+zErLpioINdr\ndtYWlBew6vgqktKTSD2dCkC0TzRTw6YyNngsLjZyW86vUlNjCk6bGiFw3aMIzH+mVje/DkVvDk4b\nh7BNBLKNQ9irBbIGO9B1jtucFUVJUVU1Rus6rkXWWCGap6yymls/+pms8yUkzR2O0b1z7YH0wa4P\n+Hj3xzwW9RgP9HtA63KEuCpZY6+frLGiLVXXqAx/bR09fJz4f78dpHU5nUJVTRUJixPo79mfd0a/\no3U5opNryfra7LYpRVHmAi8CpcBFRVHeV1X1g+usUQhxDbZWem6JCuSWqEAOnixk/rZMvtuZw7ep\nOYT7OjHrhmBuivTHydbq0mMqqivYlL2JxPRENmVvorKmkjCXMB6LeoxJoZO65q2c1ZVX6WZtahRB\nMwPZypKW1WGwvTxotbIH54CmQ9irBbL1Q1m9Ncj4jA5P1lghms/WSs9Hs6KZ8t5PzJ6XwuKHhmBr\n1TluM12WtoyPd3/MTd1v4v6+92tdjhCdgqyxoivS6xRujQ7kg/XHOFlQip+LndYldXjbTm7jbOlZ\npnabqnUpQjTQnM3T3gFSgT8AvVVVPa0oihfwV0VRXlZV9YW2LlKIrq63nzMv39SXZyeG88OuXOZt\nO8EL3+/j1eUHmRbpR3SvC+wrWM/qE6u5WHERD1sPZobPZErYFHq797b8ubk1NVBVepUg9VccV1e0\noBCl6RECNk7g6HP18QLX6orVdY7QQbQuWWOFuD5BHva8OSOSB75I5q/LDvCPWzr+uIKUUym8+POL\nxPrG8ucb/mz5a7cQFk7WWNHV3RYdyHvrjvFtag5z4rtrXU6Htyx9GU7WTowIHKF1KUI00KzN04Ao\nTDuH/qwoSiGwB9gLPKQoypuqqua3YY1CCDMHGwN3xgVxxyAjyw/v5pOURSw7/xOJyfkoqjV9XYfy\nwJDpjDAOxqBrgzmmVRWtH7zWzo1tCb110yMHHL2bOYrgCl2wBlvpfhXtTdZYIa7T2AgfZo/qxkcb\n0ogJduPW6ECtS7pumYWZ/GH9HwhwDOCtUW9hpbe69oOEENcia6zo0oI9HIgLdWdRchYPj+omFwx/\nhZLKEtZlrmNy2GTZn0ZYnGsmP6qqfg98ryjKDcDjwEmgPzAAcAfWKYrirKpqtzatVAjB2dKzrMhY\nQWJ6IgfOHUCn6IgLjMOdG0g5EMjPhyo5sKuI2yNTmRnpQagTrRTCmscT1FQ1v1hF10TAWr/7tYk5\nrw2OrzIzVjbfEp2ErLFC/DpPJPRkV+YFnv9+L30CnAn3dda6pBYrKC9gzto5qKh8MOYDmYEvRCuR\nNVYImBFj5IlFu9lxPJ9Boe5al9NhrclcQ2lVKVPDZAyDsDwtSUfmAAuBXZiucvYG9qqqOkpRFLlk\nIURLqCpUlV9htmvDULWkLJ91F4+RWJTB1ooz1AARii1Pq25MrNDhmbYHKraiVhVT41CMvrrM9Ld0\nVzNrMdg2HC1QG646+18ldG183Hgsgb10vwrRMrLGCnEdDHod79wRyZR3NzP7q1SWPjK0wex5S1dZ\nXckfN/yR7KJsPh33KUHOQVqXJERnJGus6LIm9vPlxaX7WZScJcHur5CYlkiAYwADvQdqXYoQl2l2\nsKuq6lFFUeKABExXOfcAT5v/rCVDLIXoOKqrrhC8Nh3CXrPjtf6xWnPFH1sFbLezZZmjA2vt7SjV\n6fCrquH+CpXJ1TZ0M9iawlNbe3A2BayKlT16c9harFqTnFvJTyeKySpS0Nk4EtczkDEDQjH6eMns\nVyEsjKyxQlw/bydb3r8zijv+8wtPL97Dh7OiOsTtpqqq8vIvL7M9bzt/H/Z3on2itS5JiE5J1ljR\nldlbG5jS34+lu3P5y7Q+ONjInY8tdbrkNNvytvFAvwc6xOsL0fW06G+1eeFLMn8IYRlUFSpLrxK8\n/orj6vKW1WJl33Rnq737NbtfVSt7DpafI/HcTlac2sbZ8gs4WTkyKTiBKd2mEuUTjU7RNasMB2Ak\nMLxG5ee0c3y9PZNX9ubxl93nuCFM5Y5BQUzo64CNhLpCWAxZY4W4foNC3XlmQi/+vvwQ/92cwQPD\nw7Qu6Zo+2/cZ3x37jocGPCQ7bAvRxmSNFV3Z9JhAFuzIImnvSWbEGLUup8NZnr6cGrVGxjAIiyWX\na0T7qaowB6bFdRtmtUoIWwKoza9DZ9V0wGrvCa7NGTtwhWMre9A1L3itL7col+UZy0k8+AVpBWkY\ndAZGBIxgSrcpjAgcgY3epsXPeelX1SkM6+HJsB6enLlYzqKULBZsz+KxBbtwd7DmtuhAZsYaCfNy\nvO6fIYQQQliCB4eHkXIin1dXHCLS6EpMiOXecrr6+GreTn2biaETeXjAw1qXI4QQohOLCnIjzMuB\nRclZEuxeh2Xpy+jn2Y8QlxCtSxGiSRLsioZqaupC08tC2F953JKNt1CuHKQ6el9f8Fp7bAE7TReU\nF/DjiR9JSk8i+VQyAFHeUbxwwwuMDxnfJhuneDnZ8PCo7jw0ohtb0s4yf1smn23O4JNN6QwO8+CO\nuCDG9/HBxiBdvEIIIToeRVH45/QBTH1vM3Pmp5I0dziejtd/cbSt7Dq9i//b/H8M8BrAy0Nflts6\nRdtTVSgrgIJsKMyBgizw6A5ho7SuTAjRDhRFYXq0kddWHiL9TJE09bTA4fOHOZJ/hOcGPad1KUJc\nkQS7HVHtxluV5jmurRnCVpW2rBa9jXnTLEdzeGo+dvS9fDOtBseNzm98bGXX6TbeKqsqY2P2RpLS\nk/gp5yeqaqoIcQ7hkchHmBQ2CaNT+1w91ekUhvfwYngPL05fLGNRcjYLdmQy9+uduDtYMz06kDsG\nBRHi6dAu9QghhBCtxdnWio9mRXPzh1uY+/VOvrw/Dr3Ocl5PZBZmMnfdXLztvXl39Lu/6q4cIS6p\nqjAHttnm8Da77rggGwpyoOJiw8cMvFuCXSG6kFujAnhj9WEWp2Tz9IRwrcvpMJLSkzAoBiaETtC6\nFCGuSILdtlR/461WC2HNz3OVjbcuo+gahafmgNXWBZz9rxC8NiOQtXIAvfwndDVVNVVsP7mdpIwk\n1maupbiyGC87L+4Iv4PJYZOJcI/QtFPH28mWOfHdmT2yG5uPmbp4P92cwb83pTOkmwd3xgUxLsIX\na0PLR0wIIYQQWojwd+blm/ry9OI9vPXjEZ4c30vrkgDIL8tn9prZqKh8NPYj3G0td1SEsCCqCsVn\nGgW1jcLbotNcNpbM3hNcAus6c10CwTkAXIymY0dvDX4ZIYRWvJ1tGdnTiyWp2TwxrpdFXfS0VNU1\n1SSlJzE0YKis2cKiSSoHUFlmDl2LmghhmxPIXuH8lm68ZbBrOlS1c2tB8NpECGuw6XTdr5ZMVVX2\nnd1HUkYSKzNWcq7sHI5WjowLHseksEnE+sSit7BNy3Q6hRE9vRjR04vThWUsTM7i6+1ZPDJ/Jx4O\n1twWE8gdsdLFK4QQomOYEWMk5Xg+768/RlSwK6PDfTStp6yqjLnr5pJXnMd/x/+XYOdgTesRFqS8\nqG48QkG9rtuCLPP3cy5/T2GwM4WzLoHQY1zdsUsgOAeCS4Dp7jchhKhnRkwgD311mk1HzxDfSy7u\nXMv2vO2cLj3NU92e0roUIa5Kgl2A7x+C/d8171ydoekg1d4DXINaGLzWO7ayBwsL+0TLZBRksDxj\nOcvTl5N5MRMrnRUjA0cyOWwywwOHd5jbLb2dbXlkdA9mj+rOT0fPmLp4f8rg3xvTGdbdkzsGBZEQ\n4SNdvEIIISzaX2/sw96cAh7/ZjeJjw7D6G6vSR01ag3Pb36eXWd28cbIN4j0jtSkDqGB6iq4eLLe\nmIRG4W1hNpTmN3yMogMnP1NI6xcJ4VPMXbYB5vDWaGr6kKYNIUQLjQ73wd3BmsXJ2RLsNsPStKU4\nWTkRb4zXuhQhrkqCXYABd0LQkLqA1drxyscGa62rFRbkdMlpVmSsYHnGcg6cO4CCwiC/QTzQ7wHG\nBI/B2dpZ6xKvm16nMKqXN6N6eXOqsIyFO7JYsCOLOfNT8XS05rZoI3cMMhLsIV28QgghLI+tlZ6P\n7opiynubeXheKotnD9Zkg9C3Ut5i9YnVPBnzJONDxrf7zxdtRFVNoeylDclqg9vsuvD2Yu7l49Ns\nXeu6a4PiGo5HcAkwhboWsNGvEKLzsTbouCkygK9+OUF+cQVuDpJtXElxZTFrM9cyOWxyh2nQEl2X\nBLsAPcdpXYHoQAorCll7Yi1J6Ulsz9uOikofjz48FfMUE0In4G3f+a5++jjb8uiYHjwc351N5i7e\n//yUzscb0xjeo66L10ovXbxCCCEsR7CHA/+aPoDffZnCS8sO8Leb+7Xrz19waAH/2/8/ZvaayT0R\n97Trzxa/UmVZow3JcuoFt+bwtrK44WP01uagNhBChzcaj2AObm2ctPl9hBACmB4TyGdbMvhhyG1R\nrAAAIABJREFUVw73Dg3VuhyLtebEGkqrSpnWbZrWpQhxTRLsCtEM5dXlbMrexPL05WzK3kRFTQVB\nTkE8NOAhJoZOJNSlayyKep1CfC9v4nt5k1dgmsW7YHsmD89LxdPRhukxgdweY5RZvEIIISzGuD6+\n/H5kGP/emE5MiBs3Dwxsl5+7IWsD/9j+D0YFjuLZQc9qulmqaKSmGopOmcLZwnodtvU3JCs+c/nj\nHH1Mwa1XOHRPqDcewTwiwd4TdHKRWwhhuXr7OdMvwIWFydkS7F7F0rSlGJ2MRHrJ+CRh+do12FUU\nZQLwDqAHPlVV9dUrnBcLbAVmqqq6uB1LFOKS6ppqdpzaQVJ6EmtOrKGosggPWw9m9JrB5LDJ9PHo\n06XfpPm62DJ3TA/mxHdn45HTzN+Wyb83pvHRhjRuCHNnZmwQE/r6Ymsls6OFaGuyvgpxdU+N68Wu\nzAs89+1eIvxc6OXbtl2T+8/u5+lNT9PbvTevjXjN4jZN7dRUFYrP1gW2tV23tRuRFeaY5t7WVDV8\nnLVjXUjr27/eeARzp61zgGlDYtHlyBorOpvpMYH8+Yf97MspoG+Ai9blWJzcoly2523n4ciHu/T7\nfdFC1ZWQfwLOp4ExDuxc2+1Ht1uwqyiKHvgASACygR2KoixVVfVAE+e9Bqxur9qEqKWqKgfOHSAp\nI4mVGSs5U3oGBysHxgaNZVLYJAb5DsKgk0b3+vQ6hdHhPowO9yGvoIwlqdl8syOLP3yzC+cfDNw8\nMIDbY4OI8O+484aFsGSyvgpxbQa9jvfuHMjkdzfz0FcpfD9nKC52bTPHNKcohzlr5+Bm48b7Y97H\n3kqbTds6JVWFsoJ6IW2j8LYgGwpzobq84eP0NuDsbwppg4fWBbUugebPAabZt/IGXjQia6zojKYN\n8OeVpIMsTsmWYLcJiemJAEwNm6pxJcLiVFdBQSacS4fz6aYQ99wxOJcGFzJBrTadd89SCBvZbmW1\nZ0I1CDimqmo6gKIoC4AbgQONznsUWALEtmNtoos7mn+UFRkrWHl8JVkXs7DSWTEicASTQicxInAE\ntgZbrUvsEHxdbJkT353ZI7vxS/o5vknO4usdWfy/rSfoH+jC7bFGpg7wx9lWNgURohXJ+ipEM3g7\n2fLhrCju+OQX/rBgJ5/+Jha9rnWDvILyAh5e8zAVNRV8Nv4zPO08W/X5O72K4qYD2/rdthVFDR+j\n6E0bjrkEgP9A6D21YWDrHAgOnhLaiusla6zodFztrRkX4cP3u3J4blK4JhuLWipVVVmWtoxon2gC\nndpndJOwMLXh7fl0c4CbZj5OgwsnGt7xY+0I7mHgHwl9bwWPbuDRHXz6tGvJ7RnsBgBZ9b7OBuLq\nn6AoSgBwMxDPVRZFRVF+B/wOICgoqNULFV3DicITrMxYycrjKzl24Rg6RUecbxwP9nuQ0UGjcbGR\nq5fXS6dTGNLdkyHdPflrSQXf78xhwY4snv9uHy8nHmByP39mDjISE+wmt7cI8eu12vpqPlfWWNFp\nxYa48+K0Przw/T7e+vEIT47v1WrPXV5dzmPrHyPzYiafJHxCmGtYqz13p1BVbuqmbbLb1rwxWdmF\nyx93aa5tT+g2+vJuWydfkFEXou3IGis6pRkxRhL3nGTNgdNM7u+ndTkWY8/ZPRwvPM5v+/5W61JE\nW6quMr3uOJ/WqPu2ifDWygE8wsC3L0TcaApv3cPAvRs4elvEhWNLu6f8beAZVVVrrhb2qKr6CfAJ\nQExMjNpOtYlO4GTRSVYdX8WK4ys4cM50oT3KO4rn454nITgBDzsPjSvsfFztrbl3aCi/GRLCnuwC\nFuzIYumuHJakZhPm5cDMWCO3RAXi6Shz64RoQ81aX0HWWNH53RUXxP6cAt5ff4w+/s5M7Pfr39BW\n11Tz7KZnSTmVwusjXifWt4s17VVXQVHe1btti09f/jg7N1NHrUsAGAfVddjWbkrm5A8G6/b/fYRo\nGVljRYcztLsn/i62fJOcJcFuPcvSlmGrtyUhOEHrUsSvVT+8PZ9hCm1ru2/zT0BNZd25jcNb9zBz\ngGs54e3VtGewmwMY630daP5efTHAAvOC6AlMUhSlSlXV79unRNEZnS09y+rjq1l5fCU7T+8EoK9H\nX56MeZLxIePxdfDVuMKuQVEUBhhdGWB05U+Te5O09yTf7Mji78sP8frKwyRE+DAj1siIHl6tfmus\nEJ2crK9CtICiKPz1xj4cPnWRJxbtJszL8VdtpqaqKv/Y/g/WZK7h6dinmRg6sRWrtQA1NVByttFI\nhEbh7cW8urlytawd6zprffvVBbaXum39wdpBm99JiOaTNVZ0SnqdwoxYI++sPUrW+RKM7jIPvqK6\nghUZKxgdNBpHa0etyxHNUVNtmm17Pr1uXEJt921T4a17mGlMQu+pptC2tvvW0cfiw9urac9gdwfQ\nQ1GUUEyL4UzgzvonqKoaWnusKMr/gERZEMX1KCgvYG3mWlZkrGB73nZq1Bp6uPVg7sC5TAiZgNHZ\neO0nEW3GwcbAjBgjM2KMHDt9kW92ZLEkNYcV+/Lwc7FleoyR6dGB8gJDiOaR9VWIFrIx6Pn4rmim\nvLeZ332ZzNI5w3Cxv77575/s+YRvDn/DfX3v4+6Iu1u50jamqlCaf+XxCIW1m5FVNHyc3qYupA0d\n0XCebe33bV069JskIcxkjRWd1u2xRt5de5Svt2fy9IRwrcvR3MbsjRRWFDKt2zStSxH11VSbOm8v\nhbb1Atz8402Ht94RdeFtbfdtBw9vr6bdgl1VVasURXkEWAXogc9UVd2vKMpD5j//uL1qEZ1TcWUx\n67PWszJjJVtyt1BVU0WQUxAP9HuAiSET6e7WXesSRRO6ezvx/OQInhofzpqDp1iwI4v31h3lvXVH\nGdbdk9tjjSRE+MhQfyGuQNZXIa6Pj7MtH98VzcxPtvLogp18fm/LN1NbcmQJ7+96n6lhU/lD1B/a\nqNLrpKpQVmCea5tbF9LW34isIAcqixs+TtGbummdAyAgGnpPM3XYXtqQLBDsPTrtmyMh6pM1VnRm\nfi52jA73YWFyNo8n9MRKr9O6JE0tTVuKl50XN/jdoHUpXU+Lwlt7U2Dr3Rt6T6mbd9vJw9urUVS1\nY4/2iYmJUZOTk7UuQ2ikrKqMn3J+YkXGCjZlb6K8uhxfB18mhExgQugEItwjZHOuDig7v4RFydks\nSs4it6AMV3srbhzgz/QYI338neX/U9EiiqKkqKoao3UdHZGssaIr+Hp7Js99u5eHRnbj2YnN71ja\nkLWBx9Y/xmC/wbw35j2sdNfX8XtdLnXa5taFtYU59Y5zmw5tUUyz4uqHtI27bR19ZDMy0Wyyxl4/\nWWOFJVh/6DT3/W8HH86KYlIrzJzvqM6XnWfMwjHcHXE3f4z5o9bldE614W2DkQnm4ybD27C6j9p5\nt+5hpk1Tu0Ae0JL11dI2TxPimiqqK/g592dWHV/Fusx1lFSV4G7rzi09bmFi6EQGeA1Ap3Ttq40d\nXaCbPY8n9GTumB78dPQMi1Oy+XpHFv9v6wnCfZ2YHmPkpkh/PGTDNSGEEL/SHYOC2JdTwMcb0+gb\n4MyU/v7XfMyu07t4auNTRLhH8OaoN1s31FVVKDnfKKhtFNoW5kJlScPHKTpw9DV123r3hu5jzZ23\n5u5b5wDTmyF9OwbQQgghLNqInl4EuNoxf1tmlw52V2SsoEqtYmq3qVqX0rFVVdTNvM3PMIe35s8X\nTjQc7VQb3nqHQ/jkunm37t26THjbWiTYFR1CbZi7+vhq1metp6iyCCdrJyaETmBi6ERifGIw6OQ/\n585Gr1MY1cubUb28KSipZOnuHBalZPNy4gH+sfwgo8O9mR5jZFQvry5/65AQQojr9+LUPhzOu8hT\ni/YQ5ulIhL/zFc9Nv5DOI+sewdvemw/GfoC9VQvmwasqFJ+9QmhbL7itKmv4OEUPTn6mkNa3H/Sc\nUC+0NW9E5ugDenktJIQQovn0OoWZsUb+9eMRjp8tJsSz621qqaoqS44uIcIjgh5uPbQux/JVFNeF\ntfXD2/wM04aqak3dudaO4BZquuAcPqnehmUS3rYmefUnLFZTYa6ztTNjg8cyLngcN/jdgJV0nXQZ\nLvZW3D04hLsHh3A47yKLU7L4bmcOqw+cwtPRmpsHBnBbtPFX7WwuhBCia7I26PjwriimmjdT+37O\nUDybuCvkVPEpHlrzEAbFwMcJH+Nu6173hzU1UHymiaC2Ubdt443IdAZw8jeNQfAfaOpacQ5oFNp6\ny3gEIYQQbWJGrJG31x7l6x2ZPDext9bltLv95/ZzNP8oL9zwgtalWI6S83Vhbf2u2/wMKDrV8Fw7\nd1OnrTEOBtxhCnJrRyg4eEp42w4k2BUWRcJc0Ry9fE0brj09IZyNh8+wKCWLz7cc5z8/ZdA/0IXp\n0YFMHeCPq7211qUKIYToILydbPnPPTFM/3grD32ZwrwH4+o27qyp5sL5NH6/4VEKS8/zufFGjFs/\naRTanmw4Hw5Ab23qtHUJhMDYhmMRao8dvEAnd50IIYTQho+zLWN7e7M4OZsnEnphbehaa9KSo0uw\nM9gxKXSS1qW0H1WFi3lNB7fn002br9bn5A/uodAjoV5wG2o6tnPV5ncQl0iwKzQnYa64XlZ6HWMj\nfBgb4cO5onK+35XLouQsXvhhPy8nHiShjw/TowMZ3sOrxTudCyGE6CJqqk3dJwU59C/M4duog2xJ\n3cuBd18n0qUEpTCXoqI8HvJxJ8vKmo9PnaZ32hugtzFvOhYAQYObDm3tPSS0FUIIYfHujAtm1f5T\nrNqfx9QB154131mUVJawImMFCcEJOFo7al1O66qugsLsRsHt8brP9Wf1K3pwNZoC27631QW37mHg\nGgzWLRg7JdqdBLtCExLmitbm4WjD/cNCuX9YKPtyClicks33u3JI2nMSX2dbbokK4LboQMK8OtmC\nLYQQ4soqS+HiSXNX7Um4aP5cmFP3/Yt5oFZfekgfoKe1DZkX3MnRBeIZPJi5FWkcLj/H271+Q+yE\nsebQ1l1uLxRCCNEpDO/uidHdtIlaVwp2V59YTXFlMbf2uFXrUq5PZZlpU7KmZt5eOAE1VXXn6m3q\numzD4s3Brflr1yDZXLUDk2BXtBsJc0V76RvgQt8AF56bFM66g6dZlJLNxxvT+HBDGgODXLllYABT\n+vvj5iCjGoQQokNSVSjNNwezJ+tm2l4Kbs3HpfmXP9baydxR6wdho5rotPXHYOvK29/sJnFPFoNC\nlnGw/Cz/GP4PRoZNbu/fVAghhGhzOp3CzNgg/rnqMMdOF9Hdu2s0w3x79FtCnEMY6D1Q61KurKyw\nXqdt/dEJGaYL1ah151o7mcJa334QMc3UcVs7OsHJT+4i6qQk2BVtqrSqlJ9zfmZN5ho2ZG2QMFe0\nKxuDnon9/JjYz4/ThWV8tzOH73bm8MIP+3kp8QDxvby5JSqA+HDvujmKQgghtFVdaRqN0Liztn6I\ne/EkVJU1eqBi2mTMyQ/cgiF4sOnY2d/8OcAU5tpce5NNBXjt1r4kF7/HgYId/Db8CSZLqCuEEKIT\nuz3WyDtrjvLl1uP89ca+WpfT5tIvpLPz9E6eiH4CRcs7cGqqTa9t8o+bPzLqjs9nQOn5hufbe5qC\n2pChDYNb91DTCCi5m6jLkWBXtLqiiiI2Zm9kbeZaNudsprSqFBcbFwlzhaa8nW35/chu/H5kNw7k\nFvJtajY/7M5l9YFTuNhZMaW/H7dEBRAV5Kbtwi6EEJ1ZeVGjztra4LZ2TEIuFJ2mQfcJmG4fdPYz\nbd4REF13bO6wxckPnHxb7TZCVVV5M/U1iqx2YF04hYXrjMzqXYa3s22rPL8QQghhaTwdbZgywI/F\nKdk8Ob4XTrad+z37t0e/xaAYmNptatv/sPKiesHt8Ybh7YVMqK6oO7d23q1biKnr1i3UdMG6NsS1\ndW77ekWHIsGuaBX5Zfmsz1rPmhNr+OXkL1TWVOJp58m0btMYGzyWaJ9orHSde2EQHUeEvzMR/hE8\nOzGcLWnn+DY1myWp2czblkmwhz03RQZwS1QAwR4OWpcqhBAdQ00NlJyt11WbYw5rGx2XF17+WFvX\num5an771wlrzuATnALBza9cOlHd3vss3h7/ht31/yzi/3zL94608+GUK3/zuBmyt5A4PIYQQndO9\nQ0L4NjWHxSnZ3Dc0VOty2kxldSVL05YSHxSPh53Hr3/CmhooyjN12DYV4BafaXi+jQu4h4BPHwif\nbA5vQ0wfLoEy71a0iAS74rqdKj7F2sy1rM1cS/KpZGrUGgIcA7gj/A4SghPo79UfnSIzXITlMuh1\njOzpxcieXhSVV7FyXx7fpmbz7rqjvLP2KNHBbtw8MIAp/f1wtZd5vEKILqqqvOlxCJeOzaFtTWXD\nxyl6Uxetkx949YRu8Y1GI5g/W9hOy//d+18+3fsp03tO5w9Rf0BRFN66PZKHvkrhyUW7eXfmQHQ6\nubNDCCFE59M/0JWBQa58sfUEvxkc0mnXu/VZ68kvz+eWHrc0/0EVJXUblV0W3p6A6vK6cxUdOAea\nwtteE82hbb3wtp0vWIvOTYJd0SJZhVmsyVzDmsw17DmzB4AwlzDu73s/CcEJhLuHy23sokNytDFw\nW3Qgt0UHcrKglO935vJtajZ/+n4fLy07wOhwb26OCiC+lzfWBrlgIYToBGpqTHPbCnPhYp4pnL2Y\nd/kGZCXnLn+slYN5HIIfBA+pNxrBr67b1tEbdB2ru/WrA1/xdurbTAyZyPNxz196TTO+jy/PTAjn\n1RWHMLrb88yEcI0rFUIIIdrGvUNCeGzBLjYdPcOoXt5al9Mmvj36Lb4Ovgz2G1z3TVU1zfivP9+2\nfnhbdKrhk1g7msJar17Qc3xdaOsWCi5GMEhjkGgfEuyKq1JVlbQLafyY+SNrT6zlcP5hAHq79+bR\ngY8yNmgsYa5hGlcpROvyc7Fj9qhuPDQyjP25hXybmsPS3Tms3J+Hq70VU/v7c9NAf5nHK4SwTKoK\n5RfNQa05rL0svDV/btxlC6ZNOZz9wCUAAmMazrGt/Wzr0uk6TRYcWsBrO14jITiBvw3/G/pGofTv\nR4SReb6EjzakEeBqx103BGtUqRBCCNF2Jvb14xWng/zv5+OdL9itLCU7dwc/5/7M7z1i0K96vmH3\nbVVpvZMV0zgotxDokdCo6zYU7N073Wsh0TFJsCsuU6PWsOfMHtZnrWdd5jqOFx5HQSHSO5InY55k\nTNAYAp0CtS5TiDanKAp9A1zoG+DC/00K56ejZ/l2Zw4Lk7P48pcTBLjaMS3Snxsj/Qn3lSH2Qoh2\nUFlqDmbNnbX1Q9rCekFuZfHlj7VxMY9G8IXgoXUdt7XjEpz8wNGnS3aYLD6ymL9t+xujjKN4bfhr\nTe4LoCgKL03rw6mCMv78wz58nW0ZG+GjQbVCCCFE27E26LhzUBDvrD1KxtliQj070L4j1VVQmG0a\njXDhxOWfi06xyM0FnYszt+78HnS2pqDWPQy6jQb3euMSXIPAYKPxLyTEtUmwKwAory5n28ltrMtc\nx8bsjZwtPYtBMRDtG81dve9idNBovOy9tC5TCM0Y9Driw72JD/emqLyK1fvz+GFXLp9sSuejDWn0\n8nFiWqQ/0wb4Y3S3rHmRQogOoLoKik/XC2frd9bWOy7Nv/yxBtu6cNZvAPScUPe1c73A1sax/X+v\nDuD7Y9/z0taXGBYwjH+N/BdWV9mwxKDX8d6dA5n5yS88+vVOFvzuBgYYXduxWiGEEKLtzYoL4sMN\nx/hi63FenNpH63LqXBqXUD+wPV73dUEOqNV15yt60x1IrsHQI4FyZyPf5X5HvFs4vretAwcv6boV\nHZ4Eu11YQXkBm7I3sT5rPZtzNlNaVYq9wZ5hAcOID4pneMBwXGxctC5TCIvjaGPglqhAbokK5FxR\nOcv3nuSHXbn8c9Vh/rnqMFFBrkwb4M/k/v54OclVXiG6NFWFkvMNu2sLmwhui04DasPHKnpTIOvs\nZ+okCR5iDmz9Gwa3tq7ypuQ6JaYn8uctf+YGvxt4O/5trPXX7la2tzbw39/EcstHW7j//+3g29lD\nCfKQC3pCCCE6D29nWyb182NxcjZPjOuFo007RkelF8yh7fHLO24vZEJVWcPzHX1Mwa0xDvoFg1uw\n6Wu3YNMohXoXbFenLSM/cx63D5xt2gtAiE5Agt0uJqcoh/WZ61mXtY7UU6lUq9V423kzNWwq8UHx\nDPId1Kw3NUIIEw9HG+4eHMLdg0PIzi9h2e6T/LArh78sO8BLiQcY2t2TGyMDGN/HByfbK3eBCSE6\noLLCRl21JxuFt3lQlAfVFZc/1t6zbgyCbz/z7FrfeqMR/MHBs8NtPtaRrDq+iuc3P0+MbwzvjH4H\nG33zL8R5Odnwv/sGcetHP3Pv59tZMnsIbg7y+kkIIUTn8ZshIfywy7Sh9D2DQ1rviStLTQHtpdD2\neMPwtqyg4fk2LuAWBJ49oce4utDWNdg0LsG6+RdXFxxeQIhzCHG+ca33+wihMQl2OzlVVTl4/iDr\nMtexPms9R/KPANDdtTu/7ftb4o3x9PHsg07RaVypEB1foJs9s0d1Y/aobhw5dZGlu3L5YXcOTy7a\nzf99p2NMuDc3Rvozqpc3tlYS1ghhkVTV9Iai6JQ5mD1lDmxPmULaS5/zoKLo8sfbONebYzukYVhb\nG946+sjMNo2tOr6KZzY9Q6RXJO+Pfh87g12Ln6OblyOf3hPDnZ9u44Evkpn3QJz82y6EEKLTGGh0\nZUCgC59vOc6suGD0umbeHdSMObcNGGxNAa1rMBgHNQxu3YLBzq1Vfp8D5w6w58wenol9RjbAFp2K\nBLudUGV1JcmnklmXuY4N2RvIK85Dp+iI9DJtfjbaOBqjs1HrMoXo1Hr6OPHk+F48Ma4nO7MusHRX\nLol7TrJiXx5ONgYS+vgwpb8fw7p7YW2QCytCtDlVNc2nre2ovVpw22BHZDMre1Mg6+Rn6rDtMe7y\nsQhOvjLHtgNITE/k+c3PE+kVyYdjP8Te6vrHKMSEuPP27ZHMmZ/KI/NT+eiuaKz08m+6EEKIjk9R\nFB4cEcYj83fy44FTTOjra/qDmmoozDV13RZkmT7XD26vMecW15CGwa2DN+jafu1ceHghdgY7pnWf\n1uY/S4j2JMFuJ3Gu9BybczazMXsjW3O3UlRZhK3eliH+Q5gTOYcRgSNwt3XXukwhuhxFUYgKciMq\nyI0/Te7N1vRzLN2Vy6r9eXybmoOzrYFxfXyZ3N+Pod08JeQVoqVqaqDk7BVC2ry67xedanokgo2z\nObD1hcDYumNH37rOW0cfsHGSObadwA/HfuCFLS8Q6xvLe6Pf+1Whbq1J/fx46ca+vPD9Pp5ZvIc3\npg9A19yuJiGEEMLSVFdCYQ5cyGJi1Qn+7LgJ68TPIbnMFNwW5kJNVcPHtGDOrRYKygtISk9icthk\nnK2dNa1FiNYmwW4HpaoqR/KPsDF7IxuzN7L3zF5UVLztvBkfMp6RgSO5wf+G67q1UAjRNgx6HcN7\neDG8hxd/u7kfW46dJXHPSVbtz2NxSjYudlaM7+PD5P7+DOnmIV1fomurroLi0/UC2yuNRTjVsCuk\nlp2bOZz1AY/ups9OfvWCW/Nna4f2/92EJhYfWcxLW1/iBr8beGf0O636GunuG4IpKKngjdVHcLG3\n4s9TIuQ2TyGEEJapqsI0KuFCJlyo7bjNrOvALcwBtQYAPXAfCnmVbhSVhOFojDOPTQgCF6MpvHUJ\nBCtbbX+na1iatpSy6jJmhs/UuhQhWp0Eux1IWVUZ2/O2szHLFOaeKjHNpunn2Y+HIx9mZOBIwt3D\n5Y2EEB2AtUFHfLg38eHelFf1ZfPRsyTtOcmKvXksTM7G1d6KCeZO3sFhHhgk5BWdRVVFXQdt7WZj\ntcFt7WZjF09B8RlAvfzx9p51nbTefUyBbePuWkcfi3+DIdrXgkML+Nu2vzE8YDhvxb/Voo3SmmtO\nfHfySyr57+YM3OytmTumR6v/DCGEEOKaKsugIBsK6gW29QPciydp8BpL0Zm6al2MEDzUHNwaLwW4\npXa+THh9Mzc4ufPvW2M0+7WuV3VNNfMPzifSK5Jw93CtyxGi1Umwa+HyivPYlL2JTdmb2HZyG2XV\nZdgb7E0jFgLnMDxwOJ52nlqXKYT4FWwMesb09mFMbx/KKqv56ehZkvbksmx3Lgt2ZOHuYM34Pr5M\n6e9HXKi7hLyi46iuhKVz68Laiyeh9Pzl5yk603w1Jx/TzFr/qIZdtbXBraO35rfyiY7nywNf8vqO\n14k3xvPGyDew1lu3yc9RFIXnJ/XmQkklb/54BBc7K34zJKRNfpYQQogurLK0XlB7ot6cW3OAW5TX\n8Pz6M267xZs7bYPqAtxrjEqwx3RnygcbjpFxtphQz451t9OGrA1kF2Xzx5g/al2KEG1Cgl0LU11T\nzb5z+9iYtZFN2Zs4nH8YgADHAG7teSsjAkcQ4xPTZm9KhBDasrXSkxDhQ0KEKeTdeOQMSXtO8sOu\nHL7enomHgzXj+/oyqa8fcWHuMq5BWDadAbK3g60LuIVAUNzl3bVOvuDgBTq91tWKTkZVVT7d+ynv\n7nyXhOAEXhvxGla6tr0woNMpvHZrPwrLKnlx6X5c7a24MTKgTX+mEEKITqaswBTQFmQ3DG1rj4vP\nNDxfZ2Uah+AaBD3GmgLcS6MSgkyjqPS/Lvr5zZAQPtmUzqc/pfO3m/v9qudqb18c+IIAxwBGG0dr\nXYoQbUKCXQuQX5bP1tytbM7ZzJbcLZwvO49e0RPpHckfo//IyMCRhLqEyogFIboYWys94/v4Mr6P\nL2WV1Ww4fJrEPSf5LjWH+dsycbW3YmxvHyb08WVYD09srSQYExZGUeDRFK2rEF2Qqqq8kfwGXxz4\ngilhU3h56MsYdO3zsteg1/HeHQO59/PtPLFwN442Bsb09mmXny2EEMLCVVeZOmoLsk2ishREAAAg\nAElEQVQfFzLrjgvMYW55YcPH6G1MnbUuRug1qV63rfnD0afNL5B7OdlwS1QAi1OyeTyhJ56OrT/S\nqC3sPbOX1NOpPB37NHppIhCdlAS7GqiuqWb/uf2mIDdnC3vPmjY+c7VxZYj/EEYGjmRowFBcbFy0\nLlUIYSFsrfRM6OvHhL5+lFZUs+noGVbty7u08ZqDtZ5R4d5M7OvLqF7eONrIP+9CiK6pqqaKv/z8\nF35I+4E7w+/kmUHPoFPa9+4GWys9/7knhlmfbmP2vFQ+vSeGET292rUGIYQQGigvqhfSmoPaS923\n2eaNyRpt+mrnZgpt3UIhZPj/Z+++46Sq7v+Pv85s770XYFl6E1yqgIJix5JvTGyxEEs0apJv/MWW\nrzGmqElMNPYe0VhigViwoyjSRJDeOywLLGV7n/P7YwbYXRdYYHfuzO77qfcxc+89c+9nzi7zmf3c\ne8/1nn3rLeTGZXuGq3I5f5XetWPzeH3+Fp6buYHbzgyMsWpfWv4S0SHRXJh/odOhiLQb/eXvI8VV\nxcwqnMXMbTOZXTibfTX7MBgGpAzghkE3MDprNH2T+uookogcUUTowTN5a+vdzF6/mw+XFvHJ8iLe\nX7yd0GAXY3skc0a/dCb0TSM+UkO3iEjnUNNQw29m/IbpW6Zz4wk38rOBP3PsiqeY8BAmTxrGpc/M\n5drJ83n+qqGclK/7IoiIBCy323PD1+aF2wNDJmyB6n1NX+MKhthM743JRh4s1sblHBzfNizamfdz\nlLqnRHPOgAwmz9rI9WPz/P5vjKKKIj7e9DGX97mc6NDA6GORY6HCbjupd9ezeNdiZm6bycxtM1mx\nZwUAieGJjM0ey+is0YzMGEl8eLzDkYpIIAsNdnFyzxRO7pnCHy/oz7eb9vKh90zeT1fsJMhlGJmX\nxBn90zmjbxqpseFOhywi0i4q6iq4ZfotzCuaxx3D7uDSPpc6HRLxkaG8fM1wLnl6Dj998Rv+dfUw\nRuQlOR2WiIi0pLbSc0bt/iJtkyEStkDJNnDXNX1NWJz37NpsyBl+sGi7v4Abk96h7iNw0/h83lu8\nnRe+3sivJvR0OpzDemXFK1isX3wfEGlPxlrrdAzHpaCgwM6fP9/pMADYUbGDWYWz+GrbV8wpnENZ\nXRlBJohBKYM4KeskRmeNpndib59fDiginY+1liXbSvhwaREfLi1ifXEFxsCQ3ATO6JfGaX3SyEvp\nHEeujTHfWmsLnI4jEPlTjhU5nL3Ve7nh0xtYuWclfxz9R87NO9fpkJooLq/h4qfnULivismThlHQ\nNdHpkETahHLssVOO9TF3A5QVeQu33iERSrY1Out2C1Tubvoa44KYTG+xNvtgAfdA4TbLc4PYTub6\nl+Yze91uvr59PDHh7XtT0mNVUVfBhDcmMCprFH87+W9OhyNy1I4mv+qM3eNQVV/Ftzu+ZVbhLGYX\nzmbtvrUApEakclqX0xidNZoRmSOIDY11OFIR6WyMMQzMjmdgdjz/74xerN1ZzodLi/hgaRF/nraS\nP09bSfeUKE7rm8aEPmkMzk0gyKUbNIpI4NlSuoUbP7uR7RXbeXjcw5ycc7LTIX1PcnQYr1wznIuf\nnsNVL3zD5J8OY0hugtNhiYh0DG43VOyC0q2eYu2B4m3hwQJu2fbvj20bEnVwLNvMwd7ibe7BQm5M\nJgSpZNLczeN78NGyHUyevYmfj8t3OpwWvbHqDcrqyrii7xVOhyLS7vQpdRQa3A2s3LOS2dtnM7tw\nNgt3LqTOXUeoK5TBaYM5N+9cRmeNpmdCT8fGcxMRac4YQ4+0GHqkxXDzqT3YureSz1bs5NMVO3ju\nqw08NWM9SVGhjO+dyml90xjTI5nIUKUHEfF/i3ct5ubpN9NgG3jm9GcYnDrY6ZAOKTU2nFeuHcGP\nn57Nlc/N41+ThnJiF525KyJyWNZC5Z4WirbbPIXb/QXc5kMkBId7xraNzYJuYzyPcVkQm+199J5t\nq7/bj1r/rDjG907l2a/Wc9WorkT52U2baxpqeHH5iwzPGM7AlIFOhyPS7vzrX6Af2la+jdmFnkLu\n3KK5lNSUANAroReX9bmMkRkjGZw2mIjgCIcjFRFpneyESK4c1ZUrR3WltLqOGat28emKHXy4rIg3\nvt1KaLCL0fnJTOibxqm9UzUur4j4pembp3Pbl7eRHJHME6c9Qde4rk6HdETpceG8eu0ILn1mDj95\nbh7PXTmUkd015q6IdFLWQnXJwbNqD3XGbX1109e5QiA2w1OkzRnmLdpmNy3eRiaqaNuObh6fz4WP\nz+Lfczdx3djuTofTxJQ1UyiuKuaBMQ84HYqIT6iw20xZbRnziuYdKOZuLtsMeIZXODn7ZEZmjmRE\nxgiSI3RXYxEJfLHhIUwclMnEQZnUNbj5ZsMePlmxg0+W72D6yp0ADMqJ5/S+nnF5e6ZF64oEEXHc\nKyte4f5599MvqR+PnvooSRGBUxzNjI/gP9eP5LJn53LVC/N45ooCxvZMcTosEZG2V1P+/TFtGxdv\nSwuhtrzpa4wLYjI8RdqMgdDrrO8XbaNSwKX71jhpcG4CY3ok89SM9Vw6vAvRfnLWbp27jheWvsCg\nlEEMTR/qdDgiPuEf//octrR4KTO2zmB24WyWFi+lwTYQERzB0PShXNL7EkZmjiQvLk/FDBHp0EKC\nXIzKT2ZUfjJ3n9uXVTvK+HS5p8j7149W8dePVpGdEMH43qmM65XKyO5JhId0nLv8ioj/c1s3f5//\nd15c/iKn5JzCA2MeIDIk0umwjlpqbDivXTeCy5+bxzUvzueJy4dwap80p8MSEWmdA8MjeMeuLS30\nTGXex1LvMu/VrgcZiE71FGlTekH3Uw8OixCX7Rk6ITpd49oGiP+d0JMLH5/F8zM3cMupPZwOB4D3\n179PYUUhd424S/Ub6TT0iQlMXj6ZjzZ+RL+kfkzqP4mRmSM5IeUEQoL88w6PIiLtzRhD7/RYeqfH\nctP4HuworeazFTv5bMUO/jN/C5NnbyIs2MWo7kmM8xZ6cxIDr7giIoGjqr6Ku2bexSebPuHiXhdz\n+7DbCXIF7sGlpOgwXr12OFc+P4/rX/qWRy4ZzFkDMpwOS0Q6u4Z6KC/yFmf3F263HSzWlnkLtw01\nzV5oIDrNU5xN6g5dRzcb0zbTczOy4FBH3pa0vcG5CZzeN41nvlzPT0Z0ISHK2Z9tg7uB55Y8R+/E\n3ozJGuNoLCK+pMIu8Mshv+Su4XcRFxbndCgiIn4pLTacS4fncunwXKrrGpi7YQ+fr9zJ9JU7+XzV\nMmAZ+anRjOuVwrjeqRR0SSQ0WJfIiUjbKKoo4pbpt7Byz0puLbiVK/pe0SHOxImPDOWla4Zz9Qvf\ncNOrC3mgtoEfnpjtdFgi0lHVVniKsgfOrN1/pm2j4m3FTrDupq8LCvOOaZsFWQXQJ9N7YzJvsTY2\nw1PU1YlRnc6tZ/TijIe+5IkZ67jz7D6OxvLJ5k/YWLqRv538tw7xHUGktVTYBTKjM50OQUQkYISH\nBHFyzxRO7pnC7yb2ZUNxBdNX7uSLVbv416yNPPPVBqLDghmdn8z43qmc0itFN2ATkWO2aNcifvn5\nL6mqr+KR8Y9wcs7JTofUpmLDQ5g8aRjXv/Qtt76xiN3lNVx/sn/diEZE/Jy1ULW30Zm1zYdI8C6r\nbj40AhAe5y3OZkJav4PPGxdudSMyOYSeaTFcODiLF2dtZNJJ3UiPc+Y7v9u6eXrx03SN7cppuac5\nEoOIU1TYFRGRY2aMIS8lmryUaK4Zk0d5TT2z1hbz+aqdfL5yFx8uKwKgX2Ys43qlcnKvFE7IiSck\nSGfzisiRvbvuXe6ZdQ+pkak8M+EZ8hPynQ6pXUSFBfP8VUP59RuLuO+DlRSX13DHWX1wuVRIEZFD\n2PAlfHH/wcJtfXWzBvvHs82EhG7Q5aSDZ93uvzlZbAaERjkSvnQcvzqtJ+8uKuThz9Zw3w8GOBLD\nRxs/Ys3eNTww5oGAHqZJ5FiosCsiIm0mOiyY0/ulc3q/dKy1rCwq8xZ5d/L4F2t59PO1xIQFM7J7\nEmO9Z/1qbF4Raa7B3cDDCx/mhaUvMCx9GA+e/CDx4fFOh9WuQoNdPPzjE0iKCuWZrzZQXF7LX344\nUAfCRKRlxuU5UzdrSKMhERpNGhpBfCQnMZJLh+Xy8tzNXDc2j27Jvj1YUO+u5/HvHic/Pp8zu53p\n032L+AMVdkVEpF0YY+iTEUufjFhuPCWfkso6Zq0r5ss1u/hydTEfL98BQLfkKMb0SGZsjxRGdk8i\nKkypSaQz21u9l9u/up1ZhbP4ca8fc9uw2whxdY7ihMtl+N3EvqTEhPHXj1axp6KWJy4fQmSoPhdF\npJmuo2HSB05HIQLATeN78Oa3W7lv2gqevqLAp/t+d927bCzdyEPjHsJldDBUOh99SxQREZ+Iiwzh\nrAEZnDUgA2st64sr+HL1Lr5cvYs35m9l8uxNhAQZhuQmHDibt29GrC5FFulElhYv5X+/+F92V+3m\nnpH38D89/8fpkHzOGMPPx+WTHB3KHW8v4eKn5/DsFQUaq1xERPxWSkwYN47L568frWLW2mJG5Sf7\nZL+1DbU8segJ+if1Z3zOeJ/sU8Tf+PRwhjHmTGPMKmPMWmPM7S2sv8wYs9gYs8QYM8sYM8iX8YmI\niG8YY+ieEs3VJ3XjhauH8d3vJvDKNcOZNLobZdX1/PWjVVzy9BwarHU61ICg/CqBzlrLm6vf5IoP\nrsBgmHzW5E5Z1G3sx0NzefonBazdWc4Fj33Niu2lTock0ikpx4q0zk9HdyMnMYJ731tOfYPbJ/t8\nY/UbbK/Yzs2Db8boBn/SSfmssGuMCQIeA84C+gKXGGP6Nmu2ATjZWjsA+APwtK/iExER54QFBzEq\nP5k7zurDtF+MYd5dp/L0FQUaW7IVlF8l0FXXV3P3rLv5/ezfMyx9GK+f+zr9kvs5HZZfOK1vGv+5\nfiRuCz98Yhafr9zpdEginYpyrEjrhYcEcedZfVhZVMar32xp9/2V1pby5KInGZY+jJGZI9t9fyL+\nypd/MQ8D1lpr11tra4HXgPMbN7DWzrLW7vXOzgGyfRifiIj4idSYcEZ2T3I6jECh/CoBa33Jei6f\ndjlT107l+oHX89ipj3X4m6Qdrf5ZcUz9+Ul0TY7ipy9+w7++3uB0SCKdiXKsyFE4s386w7sl8veP\nV1FSWdeu+3p28bOU1JRwa8GtOltXOjVfFnazgMaHbbZ6lx3KT4EWR4M3xlxnjJlvjJm/a9euNgxR\nREQk4LRZfgXlWPENay1T1kzh4vcuZmflTh479TFuGnwTQa4gp0PzS+lx4bzxs5Gc2ieNe95dzu/+\nu9Rnl7mKdHLKsSJHwRjD3RP7sq+qjoc/W9Nu+9lWvo2XV7zMxO4T6ZPUp932IxII/PIaV2PMODxJ\n8baW1ltrn7bWFlhrC1JSUnwbnIiISIA6Un4F5Vhpf+W15dz21W3cPetuBiQP4M3z3mRs9linw/J7\nkaHBPHn5iVw3No8XZ2/i8ufmUlxe43RYIuKlHCvi0S8zjouH5vLi7I3tNj78w98+TJAJ4pbBt7TL\n9kUCiS8Lu9uAnEbz2d5lTRhjBgLPAudba3f7KDYREZFApfwqAWNp8VJ+9N6P+Hjjx9w8+GaenvA0\nqZGpTocVMIJchjvP7sM/fjyIhZv3MfGRmSzass/psEQ6MuVYkWPwmzN6ER8Rwh1vL6HB3bY3Q/5u\n53d8sPEDrux3JWlRaW26bZFA5MvC7jdAD2NMN2NMKHAx8E7jBsaYXOBt4CfW2tU+jE1ERCRQKb+K\n36t31/PUoqf4ybSfUOeu44UzX+C6gddp6IVjdOHgbN66YRQuY7joqdn8xwc3qRHppJRjRY5BQlQo\nd0/sy3db9vHynE1ttt16dz1/mvsn0iLTmNR/UpttVySQ+aywa62tB24CPgJWAP+x1i4zxvzMGPMz\nb7O7gSTgcWPMd8aY+b6KT0REJBApv4q/21CygSs/uJJHv3uUCV0m8ObENxmcOtjpsAJe/6w43rt5\nNMO6JvKbtxZz15Ql1NZr3F2RtqQcK3LszhuUydieKfzlw5UU7qtqk23+Z9V/WLlnJb8Z+hsiQyLb\nZJsigc5Y27anxftaQUGBnT9fuVNERFpmjPnWWlvgdByBSDlWjofbunlt5Wv849t/EBoUym9H/Jaz\nup3ldFgdToPb8tePVvHkjHUMyo7jkUuGkJukP3bFN5Rjj51yrHQGW/ZUMuEfMxidn8IzV5yIMeaY\nt1VcVcx5U86jf3J/nprw1HFtS8TfHU1+9cubp4mIiIhI4Npevp3rP7me++bdR0F6AVPOn6KibjsJ\nchluP6s3T15+IhuKKzjnn1/x7qJCp8MSEREhJzGSX53Wk09X7OCDpUXHta1/fPsPqhqquGP4HSrq\nijSiwq6IiIiItIkGdwOvrHiFC/57AYt2LeLukXfz+KmP6wZpPnBm/3Sm/WIMPdKiufnVhdzx9mKq\nahucDktERDq5n47uRr/MWH47dSm7ymqOaRuzts3inXXvcHW/q+kW162NIxQJbCrsioiIiMhxW7t3\nLVd+eCX3zbuPwamDmXL+FC7qeZHOqvGh7IRIXr9+JDee0p3XvtnC+Y/NZPWOMqfDEhGRTiw4yMU/\nfnwC5TX13PH2Yo52ONDKukp+P/v3dIvrxvWDrm+nKEUClwq7IiIiInLMahtqefy7x7novYvYVLqJ\nP4/+M0+c9gRZ0VlOh9YphQS5+M2ZvZk8aRh7Kmo595GZPPvVetzuwL6vhoiIBK6eaTH85oxefLpi\nJ/+Zv+WoXvvQgofYXrGde0fdS1hQWDtFKBK4VNgVERERkWMyZ/scfvjuD3li0ROc3uV0pp4/lYnd\nJ+osXT8wpkcKH/xiLGN7pPDH91dw8TNz2LKn0umwRESkk5p0UjdG5CVy77vL2bS7olWvWbBjAa+u\nfJVL+1zKCakntHOEIoFJhV0REREROSpFFUX8+otfc+3H11LXUMdjpz7GA2MfICkiyenQpJGUmDCe\nueJE/nbRIFYUlnLGQ1/yytzNR30ZrIiIyPFyuQx/u2gQQS7DTa8spKb+8OPAl9eWc+fMO8mKzuKW\nwbf4KEqRwKPCroiIiIi0Sl1DHc8ueZbzpp7HjK0zuPGEG5l6wVTGZo91OjQ5BGMMPzwxmw9/NZbB\nufHcOWUJV73wDdv2VTkdmoiIdDLZCZH89aJBLNlWwn3TVh627X3z7mN7xXbuH3M/kSGRPopQJPCo\nsCsiIiIih2WtZcaWGfzgnR/w8IKHGZExgqnnT+WGQTdovLsAkRUfwUuThnPv+f2Yt2EPE/4+g+dm\nbqBBY++KiIgPndEvnatP6sq/Zm3kw6XbW2zzwYYPeGfdO1w/8HoNwSByBMFOByAiIiIi/mv57uU8\nOP9B5hXNo2tsVx4/9XHGZI9xOiw5Bi6X4YqRXRnXK5X/++9S/vDecqYu3MZ9PxhA/6w4p8MTEZFO\n4o6z+rBg017+3xuL6ZEWQ/eU6APrCssL+cPsPzAwZSDXDbzOwShFAoPO2BURERGR7ymqKOLOr+7k\nx+/9mDV713Dn8Dt5+/y3VdTtAHISI3nhqqE8eulgtpdUc96jM/nDe8upqKl3OjQREekEQoNdPHbZ\nEEKCXVw7eT6l1XUA1DTU8KsvfgXA/WPuJ9ilcxFFjkSFXRERERE5YF/1Pv7+7d85d8q5fLTxIyb1\nn8T7P3ifS3pfQogrxOnwpI0YYzh3YCaf/fpkLh6Wy3MzN3DqgzOYunCbbq4mIiLtLjshkscvG8Lm\n3ZX88rXvaHBb7p93P8t3L+ePo/9ITkyO0yGKBAQd/hARERERSmtLmbxsMi8tf4mq+irOzjubWwbf\nQmZ0ptOhSTuKiwjhzxcO4H+GZPP7d5fxy9e/Y/LsjfxuYj8G5cQ7HZ6IiHRgI/KS+N15/fi/qUv5\n2dQnmVP2Jj/t/1PG5453OjSRgKHCroiIiEgnVlFXwcvLX+bF5S9SVlvGhC4TuHHQjeQn5DsdmvjQ\niV0SmHrjSby5YCt/+XAV5z/2NT88MZvfnNmL1Jhwp8MTEZEO6vLhuczeOp8vS56mS9RAbhp8k9Mh\niQQUFXZFREREOqHy2nJeX/U6/1r2L/bV7OOUnFP4+Qk/p3dib6dDE4e4XIYfFeRwVv90Hv18Lc/P\n3MC0Jdu5Zkwe147pRky4huIQEZG2ta18G0vrHybclcjyxefzWb9izuiX7nRYIgFDhV0RERGRTqS4\nqpiXl7/Mf1b9h7K6Mk7KPImfn/BzBqQMcDo08RMx4SHccVYfLh6ay98+WsU/P1vDS7M38vNx+Vw+\nogvhIUFOhygiIh1AWW0ZN312E/W2npfPeYHbXy/illcX8tJPhzOsW6LT4YkEBN08TURERKQT2Fy6\nmXtn38sZb57B80ufZ2TmSF479zWenPCkirrSom7JUTx22RDevWk0/bPi+OP7Kxj3ty94/ZvN1De4\nnQ5PREQCWE1DDb/8/JdsKt3EQ6c8RO/k7jx3ZQFZCRFc/cI8Fmze63SIIgFBhV0RERGRDspay3c7\nv+PWGbcycepEpq6dynn55/Huhe/y4CkP0i+pn9MhSgAYkB3HSz8dzivXDCc1Npzb3lrC+Adn8Oq8\nzdTUNzgdnoiIBJg6dx23zriVeUXzuPekexmWMQyApOgwXrlmBMkxYVz5/DyWbC1xOFIR/6ehGERE\nREQ6mJqGGj7Y8AGvrHiFFXtWEB0SzVX9ruLyPpeTEpnidHgSoEblJzO1exKfrtjJI9PXcMfbS/jn\nZ2u4fmweFw/L1RANIiJyRG7r5u6v7+aLLV9w1/C7mNh9YpP16XHhvHLtCH705Gwuf24ukycNY1BO\nvEPRivg/FXZFREREOoiiiiJeX/U6b61+i701e+ke153fDv8tE7tPJDIk0unwpAMwxjChbxqn9Unl\nqzXFPDJ9Dfe8u5xHP1/HpNFduWxYF+IidZM1ERH5vgZ3A/fMvof31r/HzYNv5uLeF7fYLis+gteu\nG8Glz87h0mfm8OyVQxnZPcnH0YoEBhV2RURERAJYnbuOr7Z+xZQ1U/hq21dYLKdkn8KlfS5lWPow\njDFOhygdkDGGsT1TGNszhbnrd/PI9LX85cNVPPLZWi4qyObqk7rRLTnK6TBFRMRP1LvruWvmXUzb\nMI0bBt3AtQOuPWz7nMRI3rh+FJc/N5erXpjH45cN4dQ+aT6KViRwqLArIiIiEoA2lGxgytopvLP2\nHXZX7yY5Ipmr+l3FRb0uIis6y+nwpBMZnpfE8LwklhWW8MLXG3lt3hZemrOJU3unMml0N0bmJekA\ng4hIJ1bTUMPtX97Op5s/5RdDfsE1A65p1evS48L5z/UjufL5eVw7eT7/d25frhrVVTlFpBEVdkVE\nREQCRElNCZ9t/oz/rv0vC3YuIMgEMTZ7LBfmX8iY7DEEu/TVTpzTLzOOv100iN+c2YuX52zm33M2\ncekzc+meEsUlw3L54YnZxEeGOh2miIj4UElNCbdMv4UFOxdw29DbuLzv5Uf1+sSoUF67bgS/fP07\nfv/uctbtKud3E/sREuRqp4hFAou+/YuIiIj4sar6KmZsmcG0DdOYuW0mde46usZ25Vcn/orzup9H\nckSy0yGKNJEaE87/TujJjad0591FhbwybzN/fH8Ff/loFecMyOCSYbkM7ZqgM65ERDq4rWVbueHT\nG9hWvo2/jv0rZ3Y785i2ExUWzFOXn8gDH63kqRnr2bS7kkcvGaIx3UVQYVdERETE79Q01DCncA4f\nbPyA6ZunU1VfRWpEKhf3vphzup1D36S+KoqJ3wsPCeKighwuKshhxfZSXpm7makLtzFl4TbykqO4\nYHAWFw7OIidRN/YTEeloZhXO4rYvb8Nt3Txz+jOcmHbicW3P5TLccVYfuqdEc9eUJZz9z6/45yWD\nObFLQhtFLBKYVNgVERER8QNltWV8ufVLpm+ezsxtM6msryQ2NJazu53NOXnnMCR1CEGuIKfDFDkm\nfTJi+cMF/bnj7N68t2g7by3Yyt8/Wc3fP1nN0K4JXDg4m3MGZOjsKxGRAGet5fmlz/PPhf8kLy6P\nh8Y9RJfYLm22/R8V5NArLYabXl3Aj56aza2n9+L6sXm4XDrgLZ2TCrsiIiIiDtlZuZPPN3/O9C3T\nmVc0j3p3PUnhSZyddzbjc8YzImMEIUEqdEnHERkazI+G5vCjoTls21d14AzeO6cs4Z53lnFKrxTO\nHpDB+D6pxIbrd19EJJAUVxXzf1//HzO3zeSMrmdw76h7iQxp+6syBuXE8/4tY7jjrSU88OFKZq0r\n5r4fDCA7QVeASOejwq6IiIiIj9Q11LFw50JmFs5k1rZZrNq7CoAusV34Sd+fMD5nPANTBuIyuiGI\ndHxZ8RH8fFw+N57SnaXbSnl74VamLdnOx8t3EBJkOCk/mbP6pzOhbzqJUbrpmoiIP/ts02fcM/se\nquqruH3Y7Vza+9J2HTYqNjyERy8dzKh5Sfzp/RWc8Y8vue2s3lw+vIvO3pVOxVhrnY7huBQUFNj5\n8+c7HYaIiPgpY8y31toCp+MIRMqxx89ay5ayLXxd+DVfb/uaeUXzqKqvItgVzODUwYzKHMW4nHHk\nxeVpzFwRwO22LNyyj4+WFfHB0u1s2VOFy8DwbkmM753KKb1SyE+N1r8XP6Ece+yUY6Wj2Fe9j7/N\n/xv/Xfdf+iT24f4x95MXn+fTGLbsqeTOKUv4ak0xQ7sm8KcLB9AzLcanMYi0paPJryrsiohIh6Y/\nOo+dcuzRs9ayuWwz84vmM3/HfL4p+oYdlTsAyInJYVTmKE7KPIlhGcOIColyOFoR/2atZVlhKR8u\nLeLj5UWs3lEOeM70PaVXCuN6pTIqP4nIUF2E6BTl2GOnHCuBzm3dTFkzhYcWPERZbRmT+k/ihkE3\nODaElLWWtxZs4w/vLae8pp5LhuXwq9N6khQd5kg8IsfjaPKrvgWJiIiIHKMGd5LgUd8AACAASURB\nVAPrStbx3c7vDhRzd1XtAiApPImC9AIK0goYlTmK3Nhch6MVCSzGGPpnxdE/K45bz+jFtn1VzFi1\ni89X7WTKwm38e+5mQoNcDM6NZ2T3JEbmJXFCbjxhwbrJoIhIe1pavJT75t3H4l2LGZI6hN+O+C09\nEno4GpMxhh+emM343qk89Olq/j13M//9rpCbxuVzxciuRIQqN0jHpDN2RUSkQ9PZRMdOOfb7iquK\nWbxrMUuKl7B412KWFi+lsr4SgNSIVE5MP5GCtAIK0gvoFttNl4uLtJOa+gbmb9zLF6t2Mnv9bpYV\nlmIthAW7OLFLAiPzkhjZPYmB2fGEBmvM6vaiHHvslGMlEK3Zu4ZHFz7K9C3TSQxP5NaCWzk371y/\n/L6zZkcZf5q2gi9W7SI5Oozrx+Zx2YhcXeUhAUFn7IqIiIgcp73Ve1m5ZyWr9qxi2e5lLN61mMKK\nQgCCTTA9E3tyXvfzGJgykEEpg8iJyfHLP2xEOqKw4CBOyk/mpPxkAEoq65i7YTdz1u9h9vrdPPjJ\navgEQoNd9M+MZUhuAoNzExjSJZ6MuAiHoxcRCSyr967m+aXPM239NKJCorjphJu4vO/lfj2sVI+0\nGP519TDmrt/NP6ev4U/TVvDEjHVcPaorlw7P1RAN0mGosCsiIiKdmrWWreVbWbVnFSv3rDww7R8b\nFyAjKoOBKQO5tM+lDEoZRO/E3oQHhzsYtYg0FhcZwun90jm9XzoAeytqmbthDws272Xh5r28NGcT\nz87cAEB6bDhDusQzMDuefpmx9M2I1R/4IiLNWGuZXTibF5e/yKzCWUQER3B1/6uZ1H8ScWFxTofX\nasPzkvh3XhLzN+7hkelrefCT1Tzy+VrOG5TJVaO60j8rcN6LSEtU2BUREZFOod5dz9ayrawvWe+Z\n9q0/8LyqvgqAIBNEt7huFKQX0CexD70Se9EroRcJ4QkORy8iRyMhKpQz+6dzZn9Pobe23s2K7aUs\n3LyXBZv3sWDzXqYtKTrQPj023FPkzYz1FnvjyEmM0Fn4ItLp7K7azXvr3+PtNW+zvmQ9yRHJ3DL4\nFn7U60cBVdBtrqBrIi9OGsaaHWW8OHsjby/YxpvfbqVfZiz/MySb80/I1EE+CUgaY1dERDo0jf93\n7AIxx1prKa4qZnPZZraUbWFL2RY2lW5i3b51bCrdRJ277kDb1MhUusd1Jy8+j+7x3emT2If8+Hyd\niSvSSeytqGXF9lKWFZayrLCE5dtLWbuzHLf3z6PosGC6p0SRnxpDfmo0PVKjyU+NJicxkiCXCr6g\nHHs8AjHHSsdVWVfJ14Vf88GGD/h88+fU23oGJg/khz1/yDl55xAaFOp0iG2upKqOtxds5a0FW1m6\nrZRgl+Hknimc0T+d0/qkkRjV8d6zBA6NsSsiIiIdVlV9FUUVRRSWFx4o3u6ftpVvO3D2LYDLuMiM\nyqR7fHfGZI0hLz6PvDjPFB0a7eC7EBGnJUSFMio/mVHecXoBqusaWFlUxrLCElYXlbF2VzlfrdnF\nWwu2HmgTGuwiLzmK7qnRdEmMpEtSJLmJUXRJiiQ9NhyXir4iEgDKa8v5cuuXfLr5U77a+hXVDdUk\nhidySZ9L+EH+D8hPyHc6xHYVFxHC1Sd14+qTurGqqIy3Fmzl/cXb+WzlTlwGhnZN5Ix+6ZzcK4W8\n5ChdwSF+S4VdERER8Rt17jp2Vu5ke/l2iiqLKKrwTDsqdrC9wrOspKakyWvCgsLIjs4mJyaHERkj\nyI3NJScmh5yYHDKjMgkJCnHo3YhIoAkPCeKEnHhOyIlvsrykqo61O8tZt7OctbvKWbOjjGXbSvho\naRH17oNXQIYGu8hJiKBLUhS5iZHkJEaSGRdORnwEmXHhJEeHqfArIo6oc9exrHgZswtnM3v7bJbs\nWkK9rSc5Ipnz889nQpcJnJh2IsGuzlcm6pUew51n9+GOs3qzrLCUj5YV8dGyIu59bzm8Bxlx4Yzq\nnszoHkmMyEvSTTjFr3S+f7EiIiLiU27rpqSmhOKq4gPTnuo9Teb3L9tbvRdL02GiYkJjyIjKID0q\nnUEpg0iPSj8w5cbkkhKZgsu4HHp3ItIZxEWEcGKXBE7s0nS87foGN4X7qtm0p4JNuyvZvKeSTbs9\nz+es301lbUOT9iFBhrTYcDLjIkiPCycj3vM8LTaclJhQUqLDSY4JJTJUf6aJyPEpqSlh8a7FLC5e\nzKKdi1hcvJiKugoMhr5Jfbmq/1WMyRrDoJRBBLmCnA7XLxhj6J8VR/+sOH59ei827a5g5tpiZq3d\nzWcrdxy4eiMtNozBOQmckOs5EDggK46oMH1uizP0myciIiLtos5dx5lvnsme6j3U2/rvrQ8LCiM5\nIpmkiCRyY3IZnDqY5IhkT9E28mDxNjIk0oHoRUSOLDjIRW5SJLlJkYzp0XSdtZa9lXUU7quiqKSa\n7SVVFJZUs32f53Hhlr18sLSauobv3/MkMjSIlJgwkqPDSIkOI7lR0TcxMpT4yFASokKIjwglPjKE\n8BAVZUQ6K7d1s7VsK6v3rmb13tWs2buG1XtXs7lsM+AZlqpHfA/O6XYOwzOGMzxjeEDfBM2XuiRF\n0SUpisuGd8HttizfXsr8jXtYuGUf323Zx4fLPDfhNAa6JkXRMy2aXmkx9EyPoXd6DLmJUYQG6+QD\naV8q7IqIiEi7CHGFMD53PDGhMSRFJJEUkURyeDLJEZ4pKkTjlYlIx2WMITEqlMSoUPpntVxEcbst\nuytq2VFaTXF5DbvKaigur/U+eubX7SpnzoYa9lXWtbgNgPAQFwnegm98RIin6Ot9HhsRQmx4CDHh\nwd7nwWR4zxgWkcBQ21DLjoodbCnb0uQGsVvKtrC1bCvVDdUAGAxdYrvQK7EXF+RfwKCUQfRP7q+D\n5G3A5Tp4Nu9V3mV7KmpZtGUfi7buY/WOMlYWlfHJ8h0HbsLpMpARF+Edi91zEDA3MZLsBM+Y7MnR\noQQHqfArx8enhV1jzJnAw0AQ8Ky19v5m6413/dlAJXCVtXaBL2MUEREJNP6cX+8acZcvdiMiEpBc\nLkNKTBgpMWFHbFtb72Z3RQ17K+rYV1nLvqo69lbWsq/SM7+3su7A89U7yj1tKuuajAG832XDc/nT\nhQPa4y11OP6cYyVwWWupqq+itLaUfTX7KKkpoaSmhD3Ve9hZuZNdVbvYVbmLnVU72VW5i301+5q8\nPjwonOyYbLJjshmVOYr8+Hx6JvQkLz6PiGCN/+oriVGhjOudyrjeqQeWVdc1sG5XOat3lLGhuJLN\nuyvYtKeST1fsoLi8tsnrjYHk6DDSYsNIiwknNTac1JgwEiJDSIjyXp0RGeI9cBdCdFiwToqQ7/FZ\nYdcYEwQ8BkwAtgLfGGPesdYub9TsLKCHdxoOPOF9FBERkRYov4qIdA6hwS4y4iKO6qY91lqq6hoo\nraqnrLqO0uo6SqvrSYvR2bqtoRzbubmtm9qGWmrdtdQ11FHnrqO2obbJY01DDVX1VVTWV1JV532s\nr6KyrpLK+koq6yoPrC+vLfcUcGs9Rdw6d8tn4QeZIJIikkiNSCU7OpshqUNIiUghNTKVnJgccmNz\nSY5I1v0F/FR4SBD9MuPol/n9KzXKa+rZvLuSbfuq2FlWzY6SanaU1rCjrJrCkmq+27KP3RW1LWzV\nIyTIEBfhKfBGhQUTFRpMVFgQUWHBB5eFBRMdFkRkaDBhwS7CQoIIC3YR7n30TEGEhTR9Hh4cREiQ\nUeE4APnyjN1hwFpr7XoAY8xrwPlA46R4PjDZWmuBOcaYeGNMhrV2uw/jFBERCSTKryIi0iJjDJGh\nwUSGBmvohWPjtzl2fcl6pm+efmDeWnvg5qOeUMBycNnBh0O0s03P7G7c5sDzRts63L4ab6ulds23\n2+J7OMS2GtwNuK2bBnvw0VrbZL7Jo7d9i+satWmwDQeKuPXuemobammwTW9+eDSCTBCRwZFEhEQQ\nGRxJZEgkUSFR5MXnERsaS1xYnGcKjTv4PCyOhLAEEsMTdTOzDio6LJi+mbH0zYw9ZJv6Bjf7quqa\nXI3huTrj4JUZFTX1VNTUU15Tz67yGjburqTcu6z5TTuPlst4xo8PdhmCXIaQIBdBLtPifHCQIcjV\nuK3BZTzFYZcBl/cRGs27PLnJcHD9/tcYQ5N5l8G7bP92PcONeB499teh9xekD5Sl9y/3PjnQrvnr\nDrGeZts7UvvGcVwwOIuseN+dOe/Lwm4WsKXR/Fa+fySzpTZZQJOkaIy5DrjOO1tujFnVBvElA8Vt\nsB1fUsy+oZjbX6DFC4rZV9oi5i5tEYgfa7P8CsqxjSjm9hdo8YJi9hXF7BvKsUfm7zm2s/7e+Zpi\n9g3F7BuKuZ3d5OP8GpA3T7PWPg083ZbbNMbMt9YWtOU225ti9g3F3P4CLV5QzL4SiDEHOuVYD8Xc\n/gItXlDMvqKYfSMQYw50bZ1jA/FnqJh9QzH7hmL2jUCL2dfx+nJQlm1ATqP5bO+yo20jIiIiBym/\nioiItA/lWBER8Wu+LOx+A/QwxnQzxoQCFwPvNGvzDnCF8RgBlGj8PxERkcNSfhUREWkfyrEiIuLX\nfDYUg7W23hhzE/AREAQ8b61dZoz5mXf9k8A04GxgLVAJXO2r+Gjjy059RDH7hmJuf4EWLyhmXwnE\nmH0qAPIrBObPUTG3v0CLFxSzryhm3wjEmH0qAHJsIP4MFbNvKGbfUMy+EWgx+zRe0/zulyIiIiIi\nIiIiIiLi33w5FIOIiIiIiIiIiIiItAEVdkVEREREREREREQCTKct7Bpj/mqMWWmMWWyMmWKMiT9E\nuzONMauMMWuNMbf7Os5msVxkjFlmjHEbYwoO026jMWaJMeY7Y8x8X8bYQiytjdmf+jnRGPOJMWaN\n9zHhEO0c7ecj9Zn3Bg7/9K5fbIwZ4usYW4jpSDGfYowp8fbpd8aYu52Is1E8zxtjdhpjlh5ivT/2\n8ZFi9qs+9saUY4z53Biz3Pt58YsW2vhdX8uhKce2P+XX9qUc2/6UY9uf8mvHo/zqG8qx7SvQcmyg\n5VdvTMqx7cyvcqy1tlNOwOlAsPf5A8ADLbQJAtYBeUAosAjo62DMfYBewBdAwWHabQSSne7j1sbs\nh/38F+B27/PbW/rdcLqfW9NneG7i8AFggBHAXId/F1oT8ynAe07G2SyescAQYOkh1vtVH7cyZr/q\nY29MGcAQ7/MYYLW//z5rOuLPVDnWD+L1wz72+/za2n7zt88k5Vi/idnf+lj5tYNNyq/+E7Mf9rNy\nrHPx+tVnvzcm5dj2j9dvcmynPWPXWvuxtbbeOzsHyG6h2TBgrbV2vbW2FngNON9XMTZnrV1hrV3l\n1P6PRStj9qt+9u77Re/zF4ELHIzlUFrTZ+cDk63HHCDeGJPh60Ab8bef8xFZa78E9hymib/1cWti\n9jvW2u3W2gXe52XACiCrWTO/62s5NOXY9qf82q6UY31AObb9Kb92PMqvvqEc264CLcf628+5VZRj\n258/5dhOW9htZhKeKnpzWcCWRvNb+f4Pyh9Z4FNjzLfGmOucDqYV/K2f06y1273Pi4C0Q7Rzsp9b\n02f+1q+tjWeU9zKFD4wx/XwT2jHztz5uLb/tY2NMV2AwMLfZqkDta1GOdZK/9XEg5FdQjvUX/tbH\nreWXfaz82iEpvzrL3/pZObZ9dMT8Cv7Vx0fDL/vZ6Rwb3NYb9CfGmE+B9BZW3WWt/a+3zV1APfBv\nX8Z2KK2JuRVGW2u3GWNSgU+MMSu9Rz/aRRvF7FOHi7nxjLXWGmPsITbj037uJBYAudbacmPM2cBU\noIfDMXU0ftvHxpho4C3gl9baUqfjkcNTjm3/z37lV+XXNua3n/8diF/2sfJrYFF+1d+wh6Ic67f8\n8rO/A/LLfvaHHNuhC7vW2tMOt94YcxVwLnCqtbalD75tQE6j+WzvsnZzpJhbuY1t3sedxpgpeC4f\naLcP6zaI2a/62RizwxiTYa3d7j1NfuchtuHTfm6mNX3m8349giPG0/iD0Fo7zRjzuDEm2Vpb7KMY\nj5a/9fER+WsfG2NC8CTEf1tr326hScD1dUenHNv+n/3Kr47kV1CO9Rf+1sdH5I99rPwaeJRf9Tfs\noSjHOqIj5lfwrz5uFX/sZ3/JsZ12KAZjzJnAb4DzrLWVh2j2DdDDGNPNGBMKXAy846sYj4UxJsoY\nE7P/OZ4B9lu8q6Af8bd+fge40vv8SuB7R2z9oJ9b02fvAFcYjxFASaPLc5xwxJiNMenGGON9PgzP\nZ9Run0faev7Wx0fkj33sjec5YIW19u+HaBZwfd2ZKcf6DX/r40DIr6Ac6y/8rY+PyN/6WPm141F+\n9Sv+1s/Kse2jI+ZX8K8+bhV/62e/yrHWD+4m58QErMUz1sV33ulJ7/JMYFqjdmfjubvdOjyXZTgZ\n84V4xuSoAXYAHzWPGc/dGhd5p2WBELMf9nMS8BmwBvgUSPTHfm6pz4CfAT/zPjfAY971SzjMXWj9\nKOabvP25CM8NIUY5HO+rwHagzvt7/NMA6OMjxexXfeyNaTSe8b4WN/pMPtvf+1rTYX+myrF+EK8f\n9nFA5NdD9Zu/fya1Ima/+vxvRb7yxz4OqByL8muHm1B+9ZuY/bCflWOdi9evPvu9MSnHtn+8fpNj\njXdnIiIiIiIiIiIiIhIgOu1QDCIiIiIiIiIiIiKBSoVdERERERERERERkQCjwq6IiIiIiIiIiIhI\ngFFhV0RERERERERERCTAqLArIiIiIiIiIiIiEmBU2BUREREREREREREJMCrsioiIiIiIiIiIiAQY\nFXZFOghjzFBjzGJjTLgxJsoYs8wY09/puERERAKZ8quIiEj7UI4VOX7GWut0DCLSRowxfwTCgQhg\nq7X2PodDEhERCXjKryIiIu1DOVbk+KiwK9KBGGNCgW+AamCUtbbB4ZBEREQCnvKriIhI+1COFTk+\nGopBpGNJAqKBGDxHPUVEROT4Kb+KiIi0D+VYkeOgM3ZFOhBjzDvAa0A3IMNae5PDIYmIiAQ85VcR\nEZH2oRwrcnyCnQ5ARNqGMeYKoM5a+4oxJgiYZYwZb62d7nRsIiIigUr5VUREpH0ox4ocP52xKyIi\nIiIiIiIiIhJgNMauiIiIiIiIiIiISIBRYVdEREREREREREQkwKiwKyIiIiIiIiIiIhJgVNgVERER\nERERERERCTAq7EqHYYy5zBjzsb/t1xjzhTHmmkOsM8aYF4wxe40x89ovyhb3/YEx5sp22vYZxpip\n7bHtY2WMmWiMed3pOEREAoFy6tHpbDn1SIwxbxljznI6DhERf6CcenSUU1vPGJNmjFlhjAlzOhZx\njgq7ElCMMaONMbOMMSXGmD3GmK+NMUMBrLX/ttae7uuYjnO/o4EJQLa1dlgbhtWEMeYeY8zLjZdZ\na8+y1r7YTrv8E3B/o/0bY8wtxpilxpgKY8xWY8wbxpgBR7NRY8w4Y8zn3p//xhbWd/WurzTGrDTG\nnLZ/nbX2XaCfMWbgcbwvEZEOQzn12CinHlh/qTFmkzeGqcaYxEarHwD+eHRvU0QkcCmnHhvl1APr\nD5lTjTFhxpjnjTGlxpgiY8z/7l9nrd0BfA5cdzTxSseiwq4EDGNMLPAe8AiQCGQBvwdqnIzrOHUB\nNlprK5wOpK14v8DEWWvnNFr8MPAL4BY8P7uewFTgnKPcfAXwPPD/DrH+VWAhkATcBbxpjElptl5J\nT0Q6PeXUwOCvOdUY0w94CvgJkAZUAo/vf6G1dh4Qa4wpOMqYREQCjnJqYAjUnArcA/TA8zMZB/zG\nGHNmo/X/Bq4/ynilI7HWatIUEBNQAOw7zPqrgJmN5k8HVgEleD4YZwDXNGr7NfAPYB+wHhjlXb4F\n2Alc2WhbccBkYBewCfgt4DrEficAK737fbTxfpvF+1OgGmgAyvEk/ybb8razQL73+b+Ax4D3gTJg\nLtC9Udt+wCfAHmAHcCdwJlAL1Hn3s8jb9otG/eHyvqdN3vc+GU/SA+jqjeFKYDNQDNx1mJ/D3cCz\njeZ7eN/jsDb8XTgNzxeNxst64vnyFNNo2ZfAzxrNnwRscPp3WZMmTZqcnpRTlVMbbfOocyrwZ+CV\nRuu6e/ulcftngN85/buuSZMmTe09KacqpzbaZpvnVKAQOL3R+nuB1xrNB+MpBndx+t+CJmcmnbEr\ngWQ10GCMedEYc5YxJuFQDY0xycCbwB14joqtwpMQGxsOLPaufwV4DRgK5AOXA48aY6K9bR/BkzTz\ngJOBK4CrD7Hft/Ekn2RgHZ5i4vdYa58DfgbMttZGW2t/d6QO8LoYT3JNANbiuZwEY0wM8CnwIZDp\nfR+fWWs/xJMsXvfuZ1AL27zKO43zvsdoPMm+sdFAL+BU4G5jTJ9DxDcAT3/vdyqw1XrO3mmRMeZ2\nY8y+Q02Hel0z/YD11tqyRssWeZfvtwLo6j2qLiLSmSmneiintuxIObWfdx4Aa+06PH+09mzUfgXQ\nUv+IiHQ0yqkeyqktO+ac6v1dymi8vtlrsdbW4+lv5dxOSoVdCRjW2lI8H9oWz1kgu4wx7xhj0lpo\nfjawzFr7tveD7p9AUbM2G6y1L1hrG4DXgRzgXmttjbX2YzxHyfKNMUF4ktQd1toya+1G4EE8l0oc\nar9vWmvrgIda2O/xmmKtned9X/8GTvAuPxcostY+aK2t9sY6t5XbvAz4u7V2vbW2HM8XjYuNMcGN\n2vzeWltlrV2EJ5kcKnHE4zlKu18SsP1wO7fW3m+tjT/U1Mr3EI3n6HNjpUBMo/n9cbV2myIiHZJy\n6gHKqS07Uk5tbc5VvhWRDk859QDl1JYdT07dX8AvaWFdY8q5nZgKuxJQrLUrrLVXWWuzgf54jvg9\n1ELTTDyXqux/nQW2Nmuzo9HzKm+75sui8RzRDMFz+cd+m/CMndSa/W5pod3xaJyAKzn4YZ+D58jr\nscjk++8vGM8YP0fab3N7aZpoduM5ytjeyoHmZ+LG0TR574+rtUdXRUQ6LOVUQDn1UI6UU1ubc5Vv\nRaRTUE4FlFMP5Xhyarl3PraFdY0p53ZiKuxKwLLWrsQzlk//FlZvB7L3zxhjTOP5o1SMZ9yfLo2W\n5QLbDrHfnGb7zWmh3aFUAJGNXp9+FK/dgufylJbYI7y2kO+/v3qafqlorcU0vRTzMyD7cDdQMcbc\naYwpP9TUyv0uA/K8l/rsN8i7fL8+eMY8Km3lNkVEOgXl1O9RTj18Tl1GozOijDHdgVA8lyPv14em\nl46KiHQKyqnfo5x6jDnVWrsXz89u0CFei/fs5XyUczstFXYlYBhjehtjfm2MyfbO5wCXAHNaaP4+\nMMAYc4H3g+7nwNEknwO8l8D8B/iTMSbGGNMF+F/g5UPst58x5gfe/d5ylPtd5H39CcaYcDx3wGyt\n94AMY8wvjTFh3liHe9ftwDO27KH+zb8K/MoY0807XtP+sY7qj2L/+03DM74TANbaNXhuCvCqMeYU\nY0yoMSbcGHOxMeZ2b5s/W8+4Si1O+7dljHF5+yXEM2vCjTGh3m2sBr4Dfudd/gM84yi91Si2k4EP\njuE9iYh0KMqpR6Scevic+m9gojFmjDEmCvgD8LZtOn6gcq6IdArKqUeknHp8OXUy8FtjTILxjB98\nLZ4DB/sNw3PyUuMzm6UTUWFXAkkZnoHk5xpjKvAkyqXAr5s3tNYWAxcBf8FziUVfYD6eQciPxc14\njlKuB2biGcT++cPs937vfnvguatpq3g/9O/FM7j8Gu++WvvaMjx3Op2I53KUNXgGmQd4w/u42xiz\noIWXPw+8hOfunBvw3AX15tbuu1kcC4CSRskaPF8cHsVzp9R9eC7FuRB49yg3PxbPpUfT8BytrQI+\nbrT+Yjx3pd0L3Af80Fq7q9H6S4CnjnKfIiIdkXLq4V+rnHqYnGqtXYbnxjr/xnOX8ijgxv0vNMYM\nBcrtYW5IIyLSgSinHv61yqnHkVOB33nj2gR8AfzFem48t99lwJNHGa90IMYztIpIx+Y9ArgVuMxa\n+7nT8XR0xpjTgRuttRc4Hct+xpiJwE+stT9yOhYRkUCmnOpb/phTj8QY8xbwnLV2mtOxiIj4M+VU\n3wrEnHo4xphUYAYw2Fpb7XQ84gwVdqXDMsacAczFc7Ts/+G5zCXPWlvlaGAiIiIBRjlVRESkbSin\nikhb8tlQDMaY540xO40xSw+x3hhj/mmMWWuMWWyMGeKr2KTDGonnkoViPJd9XKBkKSIdkXKs+IBy\nqoh0Ssqx0g6UU0WkzfjsjF1jzFigHJhsrf3e3SGNMWfjGSvlbDzj0zxsrR3evJ2IiIg0pRwrIiLS\nPpRjRUTEn/nsjF1r7ZfAnsM0OR9PsrTW2jlAvDEmwzfRiYiIBC7lWBERkfahHCsiIv4s2OkAGskC\ntjSa3+pdtr15Q2PMdcB1AFFRUSf27t37uHZcWlVHdb3bM2PB0vQsZtvsiW2yztKsedNZ20L7Rsut\nBWvtwedY77JGz/G0cVtwt/IMa5cxBLsMQS5DcJAhJMhFSJCL0CAXocEH50WkfTXYBmrqa6hp8Ex1\n7jrq3fUHHpt/3jTmMi5cuDDGeJ4bFwaDMYb9/3n+NweWA03aNLf/Nd9b1lI7z5Mjtm0vLuMiMTzx\nuLfz7bffFltrU9ogpEDmWI7dVV7zvTy5X6sy2oG02forjA7ZsoUVrd1q83x/2Lzd6LnbWtxuaLD2\nsDk8yGUIDXIRFuIiLDiI8BAXkaHBBLt8929OxFdqGmqorKuksr6Sqvoqahtqv/dv3GAIcgURZIKa\n5ECX8eZFb35s3B5okgsPPB7FPyNf5jknhQeHEx0SfdzbUY4FHMqxNfVuSqvqjtjumK7PPYbce9T7\nPsKmj3bPtlmStnhy8P68vP+521oa3N6phbwc5DJEhAQRGRpEZGgw0WHBmM7xsSABqLKukvK68gP5\n1G3dTdYHmSCCXcEHcmnj/OkynnpQa/JnZ8mNbSUuLI4QV8hxbeNo8qs/S4OQkgAAIABJREFUFXZb\nzVr7NPA0QEFBgZ0/f77DEfmO222pqmugsraBytp6Kmq8j7UNlFfXs7eylr0VteyuqGVvZS17KmrZ\nXV7L9pIq9lbWUQ/Ue7cVFuyiR1o0PdNi6J0eQ8+0GAZlx5MQFerkWxQJWA3uBpbvXs7CnQtZXLyY\nRbsWUVRRRBBBRBJJYlAimdGZpEelkxaZRlpUGikRKcSHxRMXFueZQuOIDYslIjjiQLKV42OM2eR0\nDIGkM+fY9uZ2Wypq6ymvqWd3eS27ymrYVVbDzrJqCkuq2VhcwfpdFRSVVlML1AJZ8RGM7J7EyT1T\nGNsjhbjI4/uSKOKU9SXreXfdu3yy6RM2lW4ikkhywnMYkDKAbnHdyI3JJScmh4yoDBLCE4gOiW5S\nuBX/pBx7dJRj/UuD21JaVUdRaTWbdleyZU8l64srWLx1HyuLyqhxW1whQYzvncolw3IZ1T0Jlw64\nisNKakp4ZeUrvLX6LWoqa0gwCYxIGMHg1MH0TOhJbqwnnyZFJB13cVGcczT51Z8Ku9uAnEbz2d5l\n0ojLZYgKC/7/7N15dNxnfS/+9zOLNJtmkUaa0b7YkpfEjhcldvbELEkIBdJLgbC0TYGUUqAs7b3c\nc3vLvb+W01IOXX5lCRRaoCkJtymBQJJLAg6BxFm8JbFs2ZK1bzOakUYjaWa0zMxz/xgplhTv1szz\n/X7n/TrHR7Y8tt/mBH0873nm88BZagFQekm/NjGfxuhUCsNTKYzEUuiLJtAVnsFz3VH86MiZ/6k3\nVrnQ3ujDdc3luLWtEhWuS/tziIrJYmYRzw4/i/2D+/HcyHOIzccAADXOGuyo3IGrt1yNFk8LWrwt\nqHZWs6wlVThjNcBkEiizWVFms6LaYz/n4xLzaXSOTeOVoSkcHZzC0yfCeOTwMCwmgTdtqcLv7K7H\nbZsqYeE7b0gHOic68bVXvoZnh5+FWZhxXfA6/N5Vv4frq69HrauW5S0ZAWesTplNAj5nCXzOEmyp\ndq/6ueRCGgf7Y3j6RAiPvzaGx4+NYXOwDP/1zk24fVMVv3ZRwaWzaTx44kF849VvIJlO4sbaG/GZ\n3Z/BrXW3wlVy5e/AIP3SUrH7GIBPCCEeRm7pfFxK+Ya3r9Dlc5Za0BooQ2ug7A0/F0ssoDM0jaOD\nUzjUP4knjo3h4YNDEALY1eDDvs1VeNu2ajT7nQqSE2lPb7wXPzz5QzzR9wSm5qfgKfXg5tqbcUvd\nLdgd2I0qR5XqiEQrccbqiLPUgvamcrQ35VaRpDNZvDocx//tGMOjR0fw8+Nh1Hhs+NhtG/Ce9nrY\nrGbFiYneaHZhFn93+O/wSNcj8JR68PFrPo73bHoPKuwVqqMRrTfOWANylFhwa1slbm2rxJ/fvRU/\ne20M/7S/G3/w3UN485YA/ua/bIOfB6CoQEKJED7zzGfQMdGB2+puwyd3fRJtvjbVsUgjhLzIna1X\n/AcJ8RCA2wD4AYQBfAGAFQCklA+I3EteXwVwJ4AkgPuklBd8bwrfwpIf2azE8dFp/PJkGPtPjuO1\n4TgAYFeDF+/eXY937ayBo0RLrwsQFUbnRCf++dg/4xcDv4DFZMG+hn1418Z3YW/1XlhM/P+EFgkh\nDksp21XnyCfO2OKxmMli/8lxfOvXvTg8EEN9uR1/fvdWvHVrgKeHSDNOTZ7C5579HIZnhnHv5nvx\nRzv+CO4S94V/IekOZyxnbDFZSGfxvQP9+PJTp+C2WfDND+3G7sYrvw+C6HxOTZ7Cx3/xcSTTSXzh\n+i/gjqY7+G++InAp87VgxW6+cCAWRig+hx+/MoL/PDyM7vFZeOxWvH9PA37/hiYE3DbV8YjybnJu\nEn9/+O/x49M/hsvqwr2b78UHt35wXS73ovwqhied+cIZq11SSjx/egL/38+Ooys8i7u3VeOL91wN\nr4N78kmtl8Zewif3fxIuqwt/e8vfoj3IL79Gxhl7+Thj9etUaAYfe/AwxuIpfOMDu3H7Zr5Tj/Kj\nN96LDz7xQTgsDnz9zV/nKd0iwmKX8kZKicMDMXz7N334+YkQrGYT7ruhCR+/bSMvdCFDklLi0dOP\n4iuHvoLkYhIfuupD+Mi2j/DkkY7wSefl44zVvsVMFt/6dS/+/ukuVJaV4lsfase2Oo/qWFSkDowe\nwKf2fwr1ZfX457f+M/x2v+pIlGecsZePM1bforPz+P1/fRknx2bw/Q9fhxs28Osdra+puSm8/4n3\nI7GYwL+/7d9RV1anOhIV0KXMV966QZdECIH2pnI88KHd+NWf3oa3b6/Gt37Ti5v/dj/+9fk+ZLL6\nfqGAaKXphWl87tnP4QsHvoA2Xxseeccj+Ozuz7LUJSLNsJpN+OPbN+LRj98IkxB4zzdfwFPHQ6pj\nURHqmerBZ575DBrdjfjOHd9hqUtEhuZ3leIHH92LZr8Tf/TgEfRFE6ojkYFIKfH55z6PcCKMf7z9\nH1nq0nmx2KXL1ljhxN+9Zwee+NTNuKbei//90xP4nQcOoDs8ozoa0RUbmh7CBx7/AJ4ZfAaf3f1Z\nfOeO72CDd4PqWEREZ7WtzoNH//gGtAVc+KN/P4InjvHeHiqcmYUZfPqZT8NmseFrb/oa1xQRUVFw\n26z4zu9dC7NJ4KPfP4S5xYzqSGQQT/Y9iedHnsdn2z+LHVU7VMchjWOxS1dsS7Ub3/+D6/D3770G\nfdEE7v7/n8P3DvRD72s+qHh1RDvwgSc+gNh8DN++49u47+r7YBL8cklE2lZVZsMPProXO+q9+NRD\nR/HLzrDqSFQk/urFv8LwzDC+cutXEHQGVcchIiqYhgoH/v69O3B6fBZf3X9adRwygPh8HF86+CVs\n82/D+za9T3Uc0gE2FbQuhBC4Z2cdnv7srbi51Y8vPHYcn/7hK0gupFVHI7okHdEO3P/U/XBYHXjw\nrgexO7BbdSQioovmLLXgX++7Fltr3PjED46ic2xadSQyuAOjB/BE3xP4yPaP8KI0IipKt7ZV4r/s\nqsMDz/Zw7tIV++Zr30R8Po6/uP4vYDaZVcchHWCxS+vK7yrFP/9uO/70rW147NVR/PbXDyAUn1Md\ni+iinJo8hfufvh/uUjf+9Y5/RZOnSXUkIqJL5rZZ8e3fbUeZzYL7/+0QYokF1ZHIoOYz8/jii19E\no7sRH9n2EdVxiIiU+Z9v3wKvw4ov/OQ437lKl21qbgqPdD2Cu1vuxubyzarjkE6w2KV1ZzIJfGJf\nK75333UYjqXw7gcOoJ/L5EnjIskIPrH/E7Bb7PiXO/4F1a5q1ZGIiC5blduGb35oN8LxefzX/3yN\nTzIpLx488SAGZwbxP/b8D5SaS1XHISJSxusowSf3teLl/kkc6JlQHYd06qFTDyGVTuG+q+5THYV0\nhMUu5c0tbZX4wUf3IDGfxrsfeAEnRvm2FNKm+cw8PrX/U4jPx/HVfV9FjatGdSQioiu2s8GHP7tj\nE54+EcajR0dUxyGDSS4m8b3j38ONNTfi+prrVcchIlLuvdfWI+i24R9+0cUXVOmSJReT+EHnD3Bb\n3W3Y6NuoOg7pCItdyqvtdV78x8dugNUs8MHvvITT47OqIxG9wVcOfQUdEx34m5v/BlsqtqiOQ0S0\nbv7gpma0N/rwvx47jvA0VyPR+nmk6xHE5mP4w2v+UHUUIiJNsFnN+PjtG3CwP8ZTu3TJnux7ElPz\nU7jvap7WpUvDYpfybmOVCz/46F6YhMCHvvMShmNJ1ZGIXvfLwV/ioZMP4Xe3/i72NexTHYeIaF2Z\nTQJf/p1rMJfO4ktPnlQdhwxiPjOP7x7/Lq4LXoedVTtVxyEi0oz3XlsPv6sU3z3QrzoK6czjfY+j\nyd3EuUqXjMUuFUSz34l/+/B1mJ1P48PfPYTZ+bTqSESYSE3gCwe+gK0VW/HpXZ9WHYeIKC+a/U58\n+KZm/OjoCF4dmlIdhwzgqf6nEElFeGEaEdEapRYz3r27DvtPjmOc75ShixRKhHAodAhva3kbhBCq\n45DOsNilgtlS7cbXP7ALpyOz+PTDR5HJcu8QqfXlQ19GYjGBL974RVjNVtVxiIjy5uO3bYDfVYK/\n/NkJ7v2jK/bo6UdRX1aPvdV7VUchItKc915bj0xW4j8OD6uOQjrx8/6fQ0Li7ua7VUchHWKxSwV1\nc2slvvBbW/GLznF8df9p1XGoiD0/8jwe730cH776w1xOT0SGV2az4rNv2YRDAzH8qiuiOg7p2OD0\nIA6GDuKejffwVBER0Vk0+53Y21KOHx4cQpaHmegiPN77OLb5t6HB3aA6CukQi10quA/tbcQ9O2vx\nj7/swgtcKk8KLGYX8dcv/zWa3E346PaPqo5DRFQQv9Neh1qvHV/bf5qndumyPXr6UZiECe/Y8A7V\nUYiINOve6xowOJnEy/2TqqOQxg1ND6FzshN3Nd+lOgrpFItdKjghBP7qXVejqcKJP3n4KGKJBdWR\nqMg80vUIBqYH8Ln2z6HUXKo6DhFRQVjNJtx/SwsODcTwch+faNKly2QzeOz0Y7ip9iYEnAHVcYiI\nNOstWwMotZjw8+Mh1VFI4w6MHgAA3Fp3q+IkpFcsdkkJZ6kF//T+nZhMLOB//fS46jhURGYWZvCN\nV76B9kA7hycRFZ3cbd0l+OozXIdEl+5Y9BjGU+PcAUhEdAGOEgtubvXjqeNhvkuGzuvA6AHUumpR\nX1avOgrpFItdUuaqGg8+ua8VP3lllK9kUsH824l/Q2w+hj9t/1PuBiSiomOzmvH7NzThN91R9ERm\nVcchndk/uB8WkwU3192sOgoRkea9ZWsAI1MpdI7NqI5CGpXOpvFy6GXsrd7L56Z02VjsklIfv30D\nrqpx489/3IHpuUXVccjgZhdm8WDng9hXvw9X+a9SHYeISIn3XtsAi0ngoZcGVUchnXlm6BlcG7gW\nZSVlqqMQEWnem7YEIATw1AkeYqKz64h2YHZxFtfXXK86CukYi11Symo24a9/exuis/P4h6e7Vcch\ng/vhqR9iZmEG92+/X3UUIiJlKstKccfVQTxyZBhzixnVcUgneuO96J/ux76GfaqjEBHpgt9Vit0N\nPjx9Iqw6CmnUC2MvQEBgT3CP6iikYyx2SbntdV7ce10DvvdCP06GplXHIYOaS8/h+ye+jxtqbuBp\nXSIqeh/Y04Cp5CKeODamOgrpxP7B/QCA2+pvUxuEiEhH3rI1gOOj0wjF51RHIQ16YfQFXFVxFbw2\nr+oopGMsdkkT/uytm+C2WfC/HzvB5fKUFz/t/Skm5ybxkW0fUR2FiEi561sq0OJ34uGDQ6qjkE48\nO/QstlZsRdAZVB2FiEg3btzoBwC81DehOAlpzXxmHseix3Bt9bWqo5DOsdglTfA5S/Anb2rFC70T\n+FVXRHUcMhgpJR46+RA2l29Ge6BddRwiIuWEEHjXzloc7J/EWDylOg5pXHIxiY5oB26ouUF1FCIi\nXdlS7UaZzYIXeydVRyGNOTV5CulsGtf4r1EdhXSOxS5pxvv3NKKxwoEvPXkSmSxP7dL6ORw+jO5Y\nN+7dfC9vGyUiWvKOa2ogJfCzV7mOgc7v6PhRpGUa1wZ4qoiI6FKYTQJ7msvxUi9P7NJqx6LHAABX\n+69WnIT0jsUuaUaJxYQ/fesmnAzN4CevjKiOQwby0MmH4C5x467mu1RHISLSjCa/E9vrPHjs1VHV\nUUjjDoYOwiIs2FG1Q3UUIiLd2dtSgd5oAuFp7tmlMzqiHaiyVyHgDKiOQjrHYpc05e5t1dha7cY/\n7T/NU7u0LqKpKH45+Evcs/Ee2C121XGIiDTlt7bX4NhIHH3RhOoopGEHwwdxtf9qOKwO1VGIiHRn\nb0sFAOBFntqlFTqiHTytS+uCxS5piskk8Ml9G9EXTeBnr/EEEV25x3sfR0Zm8Nttv606ChGR5rz9\nmmoIAfyMp3bpHBKLCRyPHse1Qa5hICK6HNyzS2vF5+Pon+7HtsptqqOQAbDYJc2546og2gIufHX/\naWR5apeugJQSPz79Y2z3b0eLp0V1HCIizan22HFNnRe/6AyrjkIadXT8KDIyw2KXiOgymU0C1zWV\n46U+ntilnOMTxwFwvy6tDxa7pDkmk8An9rWie3wWT53gE026fJ2TnTg9dRrv2PAO1VGIiDTrzVuq\n8OpwHOMz3P1Hb3QwdBAWkwXXVPLWbiKiy7WzwYveSAIzc4uqo5AGdEQ7AABbK7YqTkJGwGKXNOnu\nbdWoL7fjO8/1qo5COvZYz2Owmqy4s/lO1VGIiDRr3+bcpR2/OhlRnIS06Fj0GDb7NnO/LhHRFdhW\n5wUAdIxMK05CWtAR7UCTuwnuErfqKGQALHZJk8wmgftuaMbB/hheGZpSHYd0KJ1N48m+J3Fb/W3w\nlHpUxyEi0qwt1WWo8di4joHeICuzODFxAlf5r1IdhYhI17bV5p6PHBvhc1sCumPd2FS+SXUMMggW\nu6RZ77m2HmWlFnz7Nzy1S5fuSPgIJucmcWcTT+sSEZ2PEAJv2hLAc6ejmFvMqI5DGtIf70diMcEd\ngEREV6jcWYI6nx2vDcdVRyHFUukURmZHsMG7QXUUMggWu6RZrlIL7t3TgCc7QhiLp1THIZ15auAp\n2C123Fx3s+ooRESat29LFZILGbzUxxu76YyOidwOwG1+3tpNRHSlttd5WOwSeuO9kJDY6N2oOgoZ\nBItd0rQP7mlEVko8/PKQ6iikI5lsBr8Y+AVuqr0JdotddRwiIs3b21yBErMJz5+Oqo5CGtIR7YDD\n4kCTu0l1FCIi3dtW68XgZBJTyQXVUUihnqkeAOCJXVo3LHZJ0xoqHLiltRIPHxxEOpNVHYd04sj4\nEUzMTeCtTW9VHYWISBfsJWbsavSy2KVVjkePY2vFVphNZtVRiIh0b3vd8p5dntotZqenTsNqsqKh\nrEF1FDIIFrukeR/Y04Dw9Dx+0TmuOgrpxNMDT8NmtuGW2ltURyEi0o0bNvhxYmwasQRPEhGwmFlE\n52Qn9+sSEa2Tq2tyxS7XMRS3nqkeNHmaYDFZVEchg2CxS5q3b3MVgm4b/v2lAdVRSAeklHh26Fns\nrdkLh9WhOg4RkW7cuLECUgIv9k6ojkIa0DXVhcXsIq7yX6U6ChGRIXgcVjRWONDBE7tFrWeqBxs9\n3K9L64fFLmmexWzCe9rr8NzpKC9RowvqmerBaGIUt9bdqjoKEZGubK/zwllixvM9XMdAwImJEwCA\nqypY7BIRrZdNgTJ0hWdUxyBFkotJjMyOcL8urSsWu6QL9+yqg5TAT14ZVR2FNO7Z4WcBADfX3qw4\nCRGRvljNJuxpqcCB0zyxS0B3rBsOiwO1rlrVUYiIDKMtUIb+iSTm0xnVUUiB3ngvAGCjlyd2af2w\n2CVdaPY7savBix8dGYaUUnUc0rBfD/8aW8q3IOAMqI5CRKQ7N2yoQG80gVB8TnUUUuz01Gls9G2E\nSfDpAhHRemkNuJDJSvRFE6qjkAKnp04DAE/s0rriv9RIN+7ZVYeu8CyOj06rjkIaFZ+P45XIK7i5\njqd1iYgux7VN5QCAwwMxxUlIJSklumPdaPW2qo5CRGQom4JlAIBTIa5jKEa98V5YTVbUl9WrjkIG\nUtBiVwhxpxDilBDitBDi82f5eY8Q4qdCiFeFEMeFEPcVMh9p229tr4bVLPCjIyOqo5BGPTfyHLIy\ny/26VHQ4X2m9bK1xw2Y14dDApOoopNDE3ASm5qfQ6mOxS8QZS+up2e+E2STQHZ5VHYUUGJ4ZRq2r\nFmaTWXUUMpCCFbtCCDOArwG4C8BWAPcKIbauedgfAzghpbwGwG0AviKEKClURtI2r6MEb9ocwGOv\njiCdyaqOQxp0YPQAPKUeXvRCRYXzldaT1WzCNXVentgtcl2xLgDgiV0qepyxtN5KLWY0VTh4gVqR\nGpoZQoO7QXUMMphCnti9DsBpKWWvlHIBwMMA3rnmMRJAmRBCAHABmASQLmBG0rh7dtUiOruA33Tz\nxm5aTUqJF8dexJ7gHr4CSsWG85XWVXuTD8dHp5Fc4H8ixao71g0A2Ojj5S5U9Dhjad21BcpY7BYh\nKSUGpwe5hoHWXSGL3VoAQyt+PLz0uZW+CmALgFEAxwD8iZTyDUczhRD3CyEOCSEORSKRfOUlDbp9\nUxW8Disee3VUdRTSmL7pPownx7G3Zq/qKESFtm7zFeCMJaC9sRyZrMSrQ3HVUUiR01OnUWGrQLmt\nXHUUItU4Y2ndtQbKMDCZxNxiRnUUKqDJuUkk00kWu7TutHZ52h0AXgFQA2AHgK8KIdxrHySl/JaU\nsl1K2V5ZWVnojKRQicWEt2wJ4BedYSykuY6Bznhx9EUAwPXV1ytOQqRJFzVfAc5YAnY2eAEARwa5\njqFYdce6uV+X6OJxxtIl2RQog5TA6XHu2S0mQzO514hY7NJ6K2SxOwJg5X/BdUufW+k+AD+SOacB\n9AHYXKB8pBN3bQtiZi6N53u4joHOeGHsBdS56lBXVqc6ClGhcb7SuvI6StBa5cKhfl6gVowy2Qx6\npnqw0cs1DETgjKU8aAu4AIDrGIrMcrHL56u03gpZ7B4E0CqEaF5aJv8+AI+tecwggDcBgBAiAGAT\ngN4CZiQduHGjH2WlFjx5bEx1FNKIdDaNg6GDXMNAxYrzldbd7kYfjgxOQUqpOgoV2MjsCOYyc2jz\ntamOQqQFnLG07pr8TphNAj0RntgtJsMzwxAQqHOx2KX1VbBiV0qZBvAJAD8H0Ang/0gpjwshPiaE\n+NjSw/4SwA1CiGMAfgngv0kpeSyTVim1mLFvSxWePhFGOsN1DAQcnziOxGICe6tZ7FLx4XylfNhe\n50U8tYihyZTqKFRg/dP9AIBmT7PaIEQawBlL+WA1m1Dns6N/Iqk6ChXQ4MwgAs4ASswlqqOQwVgK\n+YdJKZ8A8MSazz2w4vujAN5ayEykT3ddHcRPXhnFS32TuHGjX3UcUuxw+DAAoD3QrjgJkRqcr7Te\nttd5AACvDk+hocKhOA0VUn+8HwDQ5G5SmoNIKzhjKR+aKpzojyZUx6ACGpoZQkNZg+oYZEBauzyN\n6KLc2lYFu9WMJzu4joGAo+GjaHI3ocJeoToKEZEhbAqWocRiwrGRuOooVGD90/3wlHrgtXlVRyEi\nMqxmf67Y5cqj4jE0M8SL0ygvWOySLtlLzLh9cyV+fjyMTJbDsJhlZRZHxo9gV2CX6ihERIZhNZuw\ntdqN14anVEehAhuYHkCju1F1DCIiQ2uqcCCxkEFkdl51FCqAxGICk3OTvDiN8oLFLunWnVdXIzIz\njyODMdVRSKGeqR5ML0xjVxWLXSKi9bS9zoOOkWlk+QJqUemf7ucaBiKiPGvyOwEA/VHu2S0GwzPD\nAMATu5QXLHZJt27bVAmzSWD/yXHVUUiho+NHAYAndomI1tm2Wg9m59Po5Q7AopFcTGI8Oc5il4go\nz5oqlotdzthisFzs8sQu5QOLXdItt82K9kYfnmGxW9QOhw+j0l6JOheHJBHRerqmPrdj9dgI1zEU\ni4HpAQDgKgYiojyr89lhMQn0T7DYLQZjidzdQLXOWsVJyIhY7JKu7dtchZOhGYxMpVRHIUWW9+sK\nIVRHISIylA2VLjhKzHh1iBeoFQsWu0REhWExm1Bf7mCxWyTGEmOwmW3wlHpURyEDYrFLurZvcxUA\n8NRukRqbHUMoEeJ+XSKiPDCbBLZWu3F8lMVuseif7gcANLgb1AYhIioCTRUO9HHHblEYS4wh6Azy\nMBLlBYtd0rWNVS7U+ewsdovU4fHDALhfl4goX7bWuNE5NsML1IpE/3Q/qp3VsFvsqqMQERlek9+J\ngYkEpOSMNbpQIoRqZ7XqGGRQLHZJ14QQ2Le5Cs/3RDG3mFEdhwrsSPgIXFYXWr2tqqMQERnSlmo3\nZufTGI5x5VExGIgPcA0DEVGBNPudSC5kMD4zrzoK5dlYYgzVLha7lB8sdkn3bt9chbnFLF7onVAd\nhQrs6PhR7KjaAbPJrDoKEZEhbal2AwBOjE0rTkL5JqXEwDSLXSKiQmmscAIA+qPcs2tkC5kFRFNR\nBJ1B1VHIoFjsku5d31IBm9XEdQxFZmZhBj1TPdhRuUN1FCIiw9oUKINJsNgtBtML05hZnEF9Wb3q\nKERERaGh3AEAGOK7YgwtnAwDAFcxUN6w2CXds1nNuHGDH8+cGud+oiJyYuIEJCS2+bepjkJEZFj2\nEjOa/U50stg1vOGZYQBAXVmd4iRERMWhxmsDAAzHeIGakYUSIQDgiV3KGxa7ZAi3bqrE0GQKg5Mc\nisXiWPQYAOAq/1WKkxARGduWajeL3SIwNDsEAKhzsdglIiqEUosZAXcp99gb3FhiDABP7FL+sNgl\nQ7hpox8A8JvuqOIkVCgd0Q40uhvhKfWojkJEZGhbqt0YjqUQTy2qjkJ5xBO7RESFV+9z8MSuwY3N\n5ordgCOgOAkZFYtdMoRmvxM1HhueP81it1gcix7D1f6rVccgIjK8rTW5C9RO8tSuoQ3PDKPcVg6n\n1ak6ChFR0ajz2TE0yRO7RjaWGEO5rRw2i011FDIoFrtkCEII3NTqx4GeCWSy3LNrdOFEGOPJce7X\nJSIqgK3VuWKXF6gZ28jsCGpdtapjEBEVlTqfA6HpOaQzWdVRKE9CiRDXMFBesdglw7hxox/x1CI6\nRuKqo1CedUx0AABP7BIRFUBVWSm8Diu6wjOqo1AeDc8Mc78uEVGB1fnsyGQlxuJzqqNQnrDYpXxj\nsUuGcePSnt3nuI7B8DqiHbAICzaXb1YdhYjI8IQQaKsqQ3d4VnUUypN0No2xxBj36xIRFVh9uQMA\nMMQ9u4YkpcRYYgxBZ1B1FDIwFrtkGH5XKbZUu/EcL1AzvGPRY2grb0OpuVR1FCKiorAx4EJXeAZS\nct2REYUSIWRkhsUuEVGB1fnsAIDhGPfsGtH0wjSS6SSLXcorFrtkKDe3+nF4IIbUQkZ1FMqTrMzi\nePQ49+sSERVQW5UL03NpjM/Mq45CeTAyOwIAXMVARFRg1R47hGA7MwSoAAAgAElEQVSxa1SRZAQA\nEHAEFCchI2OxS4Zy40Y/FjJZvNw/qToK5Un/dD9mF2e5X5eIqIDaAmUAwHUMBjU8MwwAqC3j5WlE\nRIVUYjEh6LZhmKsYDCk6l3s3cYW9QnESMjIWu2Qo1zWVo8RswnPdEdVRKE86ormL03hil4iocFqX\nil1eoGZMw7PDsAgLTxQRESlQ73NgeJIndo1o+cRupb1ScRIyMha7ZCj2EjN2NnjxYi9P7BrVscgx\nOCwONLmbVEchIioaflcJvA4rusdZ7BrR8Mwwql3VsJgsqqMQERWdOp+dJ3YNaiI1AQDw2/2Kk5CR\nsdglw9nbUoHjo3HEU4uqo1AedE52YnP5ZphNZtVRiIiKhhACbVVl6OIqBkMamR1BrYtrGIiIVKjz\n2TE2PYeFdFZ1FFpnkVQENrMNTqtTdRQyMBa7ZDh7WyqQlcAh7tk1nEw2g65YF7ZWbFUdhYio6LQG\nXOgOz0BKqToKrbOxxBhqXDWqYxARFaUarx1SAuHpOdVRaJ1FU1H47X4IIVRHIQNjsUuGs7PBixKz\nCS/1sdg1moGZAaTSKWwu36w6ChFR0WkLlGF6Lo3xmXnVUWgdzWfmEU1FUe2sVh2FiKgoVXvtAICx\nOItdo5lITXANA+Udi10yHJvVjB0NXrzYO6E6Cq2zkxMnAYDFLhGRAq1VLgC8QM1owokwALDYJSJS\npMZjAwCMxXmBmtFEUhFUOnhxGuUXi10ypL0tFegYiWN6jnt2jaRzshMlphK0eFtURyEiKjqtgTIA\nQDf37BrKaGIUALiKgYhIkeDrxS5P7BpNNBVFha1CdQwyOBa7ZEh7m8uRlcDh/pjqKLSOOic7sdG3\nEVaTVXUUIqKi43eVwOewonucJ3aNZGx2DAAQdAYVJyEiKk5lNivKSi0Ym+KJXSOZz8xjemGaqxgo\n71jskiHtbPChxGziOgYDkVLi5ORJbCnfojoKEVFREkKgNVCGLp7YNZSxxBgEBIIOFrtERKpUe208\nsWswE6lcF8FVDJRvLHbJkOwlZuyo9+JFXqBmGKFECPH5OItdIiKFWqtc6A7PQEqpOgqtk9HZUVQ6\nKmE1890wRESqBD12FrsGE01FAYAndinvWOySYe1pKUfHSBwz3LNrCJ2TnQCAzRW8OI2ISJW2QBmm\n59IYn5lXHYXWSSgR4sVpRESK1XhsvDzNYCKpCAAWu5R/LHbJsPa2VCCTlTg0wD27RtA52QmTMKHN\n16Y6ChFR0WqtcgEATo9zHYNRjCZGUePkxWlERCpVe+yIzi5gPp1RHYXWyfIqBha7lG8sdsmwdjZ4\nYTYJXqBmECcnTqLZ3Qy7xa46ChFR0WqpzBW7vREWu0aQldnciV0XT+wSEalU7bEBAMJxviPGKCKp\nCAQEym3lqqOQwbHYJcNylFhwdY0bB/u5Z9cIOic7uYaBiEixgLsUzhIzeiIJ1VFoHUykJrCYXeQq\nBiIixaq9uWJ3lOsYDCOaisJn88FisqiOQgbHYpcMbXdjOV4ZmsJCOqs6Cl2B2FwM4WSYF6cRESkm\nhEBzpRO9URa7RjCaGAUA1Li4ioGISKVqT+5diSFeoGYY0VSUaxioIFjskqFd2+TDfDqLjtG46ih0\nBV6/OK2cJ3aJiFRr8bvQwx27hjCWGAMABJ1BxUmIiIrb8ioGntg1jmgyikp7peoYVARY7JKh7W7y\nAQD37Opcd6wbALDJt0lxEiIiaql0YjSewtwiL3jRu7HZXLHLy9OIiNRyllrgtlkwNsUTu0YRnYui\nwl6hOgYVARa7ZGhVZTY0Vji4Z1fnumJdqLRXwmvzqo5CRFT0NlS6ICXQx3UMujeWGEOZtQyuEpfq\nKERERa/Ga8cYVzEYgpSSqxioYFjskuG1N5bj0EAMUkrVUegydce60eprVR2DiIiQO7ELAL28QE33\nwokwAs6A6hhERAQg6LFhjKsYDCE+H0c6m+YqBioIFrtkeNc2+TCZWOBFLzqVzqbRM9WDVi+LXSIi\nLWj2Lxe73LOrd+Eki10iIq2o9vDErlFEU1EA4IldKoiCFrtCiDuFEKeEEKeFEJ8/x2NuE0K8IoQ4\nLoR4tpD5yJjauWdX1wZnBrGQXeCJXaLz4HylQnKUWFDjsaGHxa7uhZNhBB28OI3ofDhjqVBqPDZM\nJha4w94AIqkIABa7VBgFK3aFEGYAXwNwF4CtAO4VQmxd8xgvgK8DeIeU8ioAv1OofGRcGypd8Dms\n3LOrU8sXp7HYJTo7zldSoaXSxXfC6NxiZhETqQkEHDyxS3QunLFUSNVeOwAgxFO7uscTu1RIhTyx\nex2A01LKXinlAoCHAbxzzWPeD+BHUspBAJBSjhcwHxmUEAK7l/bskv50x7phEiZs8G5QHYVIqzhf\nqeBaKp3ojSS4v17HxlPjkJAIOnlil+g8OGOpYKo9NgDAKPfs6h6LXSqkQha7tQCGVvx4eOlzK7UB\n8AkhfiWEOCyE+N2z/UZCiPuFEIeEEIcikUie4pKRtDf50BdNIDIzrzoKXaLuWDca3Y0oNZeqjkKk\nVes2XwHOWLo4GypdmJ1Pc67qWDgRBgCe2CU6P85YKpjlYpcndvUvmorCbrHDaXWqjkJFQGuXp1kA\n7AZwN4A7APxPIUTb2gdJKb8lpWyXUrZXVvKWQbqwa5f37PLUru50T3Xz4jSiK3dR8xXgjKWL01KZ\ne6LSE+E6Br0KJ5eKXV6eRnSlOGNpXVR7cqsYeIGa/kVTUVTYKiCEUB2FikAhi90RAPUrfly39LmV\nhgH8XEqZkFJGAfwawDUFykcGdnWtByUWEw5xz66uJBeTGJ4Z5n5dovPjfKWCa6l0AQB6o7xATa94\nYpfoonDGUsHYS8zwOqwYneIqBr2LpqKodPDFGyqMQha7BwG0CiGahRAlAN4H4LE1j/kJgJuEEBYh\nhAPAHgCdBcxIBlVqMeOaOg8O8sSurvRM9UBCstglOj/OVyq4arcNNqsJPeM8satXoWQITqsTrhKX\n6ihEWsYZSwVV7bHzxK4BRFNR7telgrEU6g+SUqaFEJ8A8HMAZgD/IqU8LoT42NLPPyCl7BRC/F8A\nrwHIAvi2lLKjUBnJ2HY3luPbv+nF3GIGNqtZdRy6CN1T3QCANu9Z381GROB8JTVMJoFmv4sndnUs\nnAgj6ODFaUTnwxlLhVbtsXHHrgFEUhHsqd6jOgYViYIVuwAgpXwCwBNrPvfAmh9/GcCXC5mLisOu\nBi/SWYljI3Fc21SuOg5dhO5YN+wWO2rL1t5RQUQrcb6SCi2VThwbjquOQZcpnAxzvy7RReCMpUIK\nuG14dWhKdQy6AvOZecwszPDELhWM1i5PI8qbXY25C9SOcB2DbnTFurDRuxEmwS9VRERas8HvxHAs\nifl0RnUUugzhRJj7dYmINCbotmEiscDZqmMTqQkAYLFLBcO2hIqG31WKhnIHjgyy2NUDKSW6Y93c\nr0tEpFHNlU5kJTA0mVQdhS7RYnYRkVSEJ3aJiDSm2mMDAIxPzytOQpcrkooAYLFLhcNil4rKrgYv\njgxOQUqpOgpdwMTcBGLzMbR6WewSEWlRsz936VZvhBeo6U00GYWE5IldIiKNCSwVu6Fp7tnVq2gq\nCoDFLhUOi10qKrsafYjMzGM4llIdhS6gK9YFADyxS0SkUc0VTgBA/wSLXb0JJ8MAgKCTl6cREWlJ\n0L1U7PICNd2KJnPFbqW9UnESKhYsdqmo7GpY2rPLdQya1x3rBsBil4hIqzwOKyqcJeiLstjVm1Ay\nBAA8sUtEpDFBD4tdvYvORSEg4LP5VEehIsFil4rK5mAZ7FYzjg7yplGt6451w2/3o9xWrjoKERGd\nQ7PfyVUMOhRO5E7scscuEZG2uG0W2K1mrmLQsWgqCp/NB4vJojoKFQkWu1RULGYTttd5eGJXB7qn\nurlfl4hI45r9Tp7Y1aFwMgy7xY4ya5nqKEREtIIQAkGPjcWujkWTUa5hoIJisUtFZ1ejDydGpzG3\nmFEdhc4hk82gZ6qHaxiIiDSuudKJ8Zl5zM6nVUehSxBKhBBwBCCEUB2FiIjWCLhLEeYqBt2KpqK8\nOI0KisUuFZ1dDT6ksxKvDcdVR6FzGJoZwnxmnsUuEZHGtfiXLlDjqV1dCSfDXMNARKRR1R47xljs\n6lYkFWGxSwXFYpeKzs4GLwBeoKZl3VO8OI2ISA+a/S4AQC+LXV0JJ8IIOoKqYxAR0VkE3DaMz8wh\nm5Wqo9AlysosJuYmWOxSQbHYpaLjd5WiscKBIwMsdrWqK9YFkzBhg2eD6ihERHQejRUOCAH08QI1\n3Uhn04imojyxS0SkUUF3KRYzEpPJBdVR6BLF5+NIZ9MsdqmgLrnYFUI4hRDmfIQhKpRdDT4cGZyC\nlHwVVIu6Y91oKGuAzWJTHYWooDhjSW9sVjNqPHb0RWdVR6GLNJGaQEZmEHCw2KXiwhlLehH02AEA\nIa5j0J1oKgoA8DtY7FLhXLDYFUKYhBDvF0I8LoQYB3ASwJgQ4oQQ4stCiI35j0m0vnY1eBGdncdw\nLKU6Cp1Fd6ybaxioKHDGkhG0VDrRx1UMuhFKhgAAQSdXMZCxccaSXgU9ucMtLHb15/Vi18Zilwrn\nYk7sPgNgA4D/DiAopayXUlYBuAnAiwC+JIT4YB4zEq27nQ0+ANyzq0XJxSSGZobQ6mWxS0WBM5Z0\nr9nvRG80wXfB6EQ4EQYAntilYsAZS7oUdC8Vu9MsdvVmuditdFQqTkLFxHIRj3mzlHJRCPFuAMeW\nPymlnATwnwD+UwhhzVdAonzYHCyDo8SMo4NTeOeOWtVxaIXeeC8kJE/sUrHgjCXda/Y7MTOXxkRi\nAX5Xqeo4dAHhZK7Y5YldKgKcsaRLflcJTAIIs9jVnddP7HLHLhXQBU/sSikXl777bwB+sHIvkRDi\nvjWPIdIFi9mE7XUentjVoO5YNwCgzdemOAlR/nHGkhE0+Z0AwHUMOhFOhGEz2+AucauOQpRXnLGk\nVxazCVVlNoxxFYPuRFIR2C12OCwO1VGoiFzK5WknATyL1a9sfnL9IxEVxq4GH06MTmNuMaM6Cq3Q\nFeuC3WJHXVmd6ihEhcQZS7rVslzsRljs6kE4GUbAGYAQQnUUokLhjCXdCXhsPLGrQ9FUFH67nzOW\nCupSil0ppXwAwI8APCaEsAPgf62kWzsbfEhnJV4bjquOQit0T3Vjg2cDTOJSvjwR6R5nLOlWrdcO\nq1mglyd2dSGUCHG/LhUbzljSnaC7lJen6dBEaoJrGKjgLqU5iQGAlPL7AL4D4HEAPF9OurWzwQuA\nF6hpTXesm/t1qRhxxpJuWcwmNJQ70BedVR2FLkI4GWaxS8WGM5Z0p9pj5+VpOhRJRVjsUsFddLEr\npXzTiu8/AuDvAFTkIxRRIfhdpWiscODIAItdrYimopicm2SxS0WHM5b0rtnv4o5dHchkM4gkIwg4\nWexS8eCMJT0KuG2YmUsjMZ9WHYUuwfIqBqJCumCxK86xHERK+TMppf98jyHSul0NPhwZnIKUUnUU\nwpmL01jsUrHgjCWjaKl0on8iiUyW81TLJucmkZZpBB1B1VGI8o4zlvQs6CkFAJ7a1ZG59BxmFmZY\n7FLBXcyJ3WeEEJ8UQjSs/KQQokQIsU8I8T0Av5efeET5tavBi+jsPIZjKdVRCCuKXS+LXSoanLFk\nCM1+JxbSWYxOcZ5qWSgRAgCe2KViwRlLuhVw2wAAYe7Z1Y2JuQkAQKW9UnESKjaWi3jMnQD+AMBD\nQogW5HYU2ZErhZ8C8A9SyqP5i0iUPzsbfABye3bry7lqS7XuqW6U28pRYee746hocMaSITT7nQCA\nvmiC81TDwskwAHDHLhULzljSrWqPHQAwxmJXN6KpKADwuSwV3AWLXSnlHICvA/i6EKIMQBmApJRy\nKt/hiPJtc7AMjhIzjgzE8M4dtarjFD1enEbFhjOWjKJlRbF7SxtPqmjV68UuT+xSEeCMJT0LLp3Y\n5SoG/Ygmc8UuT+xSoV305WlCiE8B6AfwMoAXhBB/nK9QRIViMZuwvc6DI4P8951qmWwGPVM9XMNA\nRYkzlvSusqwUzhIzL1DTuHAijBJTCXylPtVRiAqGM5b0yF5ihttmQZjFrm4sn9jljl0qtIu5PO0f\nhRC/B+DTALZIKesA3ALgKiHEX+Y7IFG+7WrwoXNsGqmFjOooRW14dhhzmTm0+dpURyEqGM5YMgoh\nBJornSx2NS6UDCHgDID3RVEx4Iwlvav22BHiKgbdiKQiMAkTym3lqqNQkbmoy9MAbADgB3BACHEE\nwJcB9AB4nxCCL/mTru1q8CGdlXhtmKd2VXr94jSuYqDiwhlLhtHsd7HY1bhwIsz9ulRMOGNJ1wIe\nG1cx6Eg0FYWv1Aezyaw6ChWZCxa7UsofSyn/AsCLAN4J4M0AvgsgDaAcwH4hRE8+QxLl084GLwBw\nHYNi3bFuCAhs8G5QHYWoYDhjyUia/U4Mx5KYT/MdMFoVToa5X5eKBmcs6V3QXcoTuzoykZrgGgZS\n4oKXp63wxwD+D4BXABwDsAXAMSnlbUKIknyEIyqEClcpmiocODIYUx2lqHVPdaPB3QC7xa46CpEK\nnLGkey1+J7ISGJpMYmNVmeo4tEZWZnPFLk/sUvHhjCVdCrptiM7OI53JwmK+6OuRSJFIKgK/g8Uu\nFd5Ff3WQUnYD2APgEQA2AK8BuGfp5xbyko6oQHY1+HB0MAYppeooRas71s2L06hoccaSETT7nQCA\n3gjXMWjR5Nwk0tk0i10qOpyxpFdBjx1ZCURm51VHoYsQTUXht7HYpcK7lBO7y4Pv8aVvRIaxs9GH\nHx0dwdBkCg0VDtVxik4qncLA9ADuar5LdRQiZThjSe+alopd7tnVplAiBAAIOoOKkxAVHmcs6VHQ\nUwoAGIvPodrDdzVqWVZmMZGaQKWjUnUUKkI8z08EoL0xd3fC4cFJxUmKU+9ULyQkL04jItIxj90K\nv6uExa5GhRNhACx2iYj0IuC2AQDC3LOrefH5ONIyzR27pASLXSIAbYEylJVacKife3ZV6Ip1AQBX\nMRAR6Vyz34leFruaFEryxC4RkZ4sn9INTbPY1bpoKgoAqLBXKE5CxYjFLhEAs0lgR4MXhwdY7KrQ\nFeuCzWxDfVm96ihERHQFmv1OntjVqFAihFJzKXylPtVRiIjoIvgcVpRYTAjxxK7mRVIRAEClnasY\nqPBY7BIt2d3ow6nwDKbnFlVHKTrdsW60+lphNplVRyEioivQ7HchMjOPGc5SzQklQgg4AhBCqI5C\nREQXQQiBgLuUJ3Z1YCI1AQBcxUBKsNglWtLeWA4pgaODU6qjFBUpJU7FTqHN16Y6ChERXaHmpQvU\n+qNJxUlorVAihIAzoDoGERFdgqDbxhO7OsATu6QSi12iJTsavDAJcB1DgUVSEUzNT/HiNCIiA2ip\nzBW7vdFZxUlorVAyhKCD+3WJiPQk6LEjzBO7mhdNRWG32OGwOlRHoSLEYpdoiavUgs1BNw4PTKqO\nUlSWL07jiV0iIv1rKHdACHDPrsZkshlEkhFenEZEpDNBdynG4nOQUqqOQucRTUW5hoGUYbFLtEJ7\nkw+vDE4hncmqjlI0WOwSERmHzWpGrdfOYldjoqkoMjLDYpeISGcCbhvm01nEU9xdr2XRVJRrGEgZ\nFrtEK+xu9CGxkMHJ0IzqKEWjK9aFoDMIT6lHdRQiIloHzX4ni12NCSVDAMBil4hIZ6o9dgDgBWoa\nF01FUWGvUB2DilRBi10hxJ1CiFNCiNNCiM+f53HXCiHSQoh3FzIf0e5GHwDgyCD37BbKqUlenEZ0\npThfSUta/E70RRJ826iGhBK5Yjfg4OVpRJeKM5ZUCnpKAYAXqGlcNMkTu6ROwYpdIYQZwNcA3AVg\nK4B7hRBbz/G4LwF4qlDZiJbVeu0IuEtxqJ/FbiEsZBbQH+9nsUt0BThfSWua/U7MzKcRnV1QHYWW\nLBe7PLFLdGk4Y0m1gNsGgMWuls2l5zCzOMMdu6RMIU/sXgfgtJSyV0q5AOBhAO88y+M+CeA/AYwX\nMBsRAEAIgfbGchweYLFbCH3xPqRlmsUu0ZXhfCVNaa50AeAFaloSSoRgt9jhLnGrjkKkN5yxpFRV\n2VKxy1UMmjUxNwEALHZJmUIWu7UAhlb8eHjpc68TQtQCuAfAN873Gwkh7hdCHBJCHIpEIuselIrb\nrkYfRqZSfFW0AE7FTgEANvk2KU5CpGvrNl+XHssZS1ekxe8EAPRFZxUnoWXhZBgBRwBCCNVRiPSG\nM5aUKrGY4HeVIsxiV7Miydz/l1nskipauzztHwD8Nyll9nwPklJ+S0rZLqVsr6zkHhNaX+1Le3YP\nDUwqTmJ8XZNdKDGVoMHdoDoKkdFd1HwFOGPpytV47Sgxm9DLE7uaEUqEuIaBKH84Yymvgp5SjPHQ\nkWZFU1EALHZJHUsB/6wRAPUrfly39LmV2gE8vHSawA/gbUKItJTyx4WJSARsrXHDZjXh8EAMb99e\nozqOoXXFurDBuwEWUyG/FJEmzc8Csf6lb325j4tzwLu+pjiYLnC+kqaYTQINFQ70RVjsakU4EcYN\ntTeojkGkR5yxpFzQbcNwLKU6Bp1DJJU7sVvp4Is1pEYh25SDAFqFEM3IDcP3AXj/ygdIKZuXvy+E\n+C6An3EgUqFZzSZcU+flnt0C6Ip14abam1THoEKQEpgJrS5uJ/vO/Dix5u2IpR6gsi336/jW4Qvh\nfCXNafY7uWNXIxazi4ikIjyxS3R5OGNJuaDHxuemGhZJRmAWZpTbylVHoSJVsGJXSpkWQnwCwM8B\nmAH8i5TyuBDiY0s//0ChshBdyO5GH775614kF9JwlPA0aT5EU1FMzE1gUzn36xrG4hwwNXimrF1Z\n3MYGgPTKkwYC8NQBviag7U6gvDn3fd/SRwf/YXSxOF9Ji1r8TjzbFUEmK2E28cUZlSLJCCQkgg4W\nu0VnMbU0lwdy83hqxcfNbwdu+7zqhJrHGUtaEHTbEEsuYm4xA5vVrDoOrRFJRVBhr4BJaG3TKeVd\nNgvMhnJzdmrgzMdb/iz3/LZACtpYSSmfAPDEms+ddRhKKX+/EJmIzqa9yYev/0ri1aE4rt9QoTqO\nIXXFugAAbb42xUnookkJJCdXlLV9wGT/mR9PjwKQZx5vdeSK2vINwMY3ry5uvQ2ApUTF38KQOF9J\na5r9TiyksxidSqG+3KE6TlELJUIAwBO7RpTNANMja4rbgTMF7mx49eMtNsDbCPgaATfXjV0szlhS\nLeC2AQDC03NorHAqTkNrRZIRVNq5hsGQpARSsTXzdeXHQSAzv/rXuILAzg8Zt9gl0otdDbkL1A4P\nTLLYzZPuWDcAoNXXqjgJrZJZBOLDZ1+XEBsA5qdXP94VzBW1zbesLm7LmwFnJdcoEBWpZn/uiWdf\nNMFiVzEWuzomJZCcOLODfvmJ5PL348NANn3m8cIEuOtyxe3GtyzN5cYzZa4rwLlMpENBT67YDcVZ\n7GpRJBVBjYsvlunWQvI8xe1Znv/avLmZWrUF2HTn0oxtyn301gNWe8H/Cix2ic7C6yhBW8CFl/u5\nyyhfumJdqLRXcheRCnPT5yhu+4GpIUBmzjzWXJobXL4moOGGM6Xt8vAqYWFDRG/UXHmm2L2ljadY\nVAolWexq2vzsG59IrixxF9fsqnb4c3O5djdw1W+vLm499YDZquSvQUT5U71c7E7PKU5CZxNJRnBN\n5TWqY9C5LB9cOld5mxhf/XiL/cxsbbz+zIxd/mjzqPl7nAeLXaJzuK65HI8eGUE6k4XFzH056+3U\n5Cm0lXMNQ15ks8DM6NmL28k+IDW5+vGOilxRW9sOXP3u1ftuy6oBE//7J6JLU+kqhavUwgvUNCCc\nCMNldcFp5SkvJTKLQHzo3MVtMrr68VbnmRdUm29d8WSyKbfGqNSl4C9BRCqtXMVA2rKYWURsPoZK\nB1/EViabza0eOldxOz0MyOyZxwvz0l0vjUDbHUtztunMvHVV6e7dLSx2ic5hT3MFHnxxEB2j09hR\n71Udx1AWM4voiffghpobVEfRr7n4G58crnyrZmbhzGOFOfe2EF8zsPWday4q0+arjkSkb0IINPud\n6GWxq1woEeJp3XzKZoCZsTOXlE0NLn07xxNKkyV3stbXCGy+e0VxuzSTHRW6e0JJRPlVZrPCWWLG\nWJzFrtZEU7kX57hjN4+W73mZOsuMXf5ces3/N1zB3Ext2Lv6tK23EXDXAmZjVaHG+tsQraM9LbkV\nAS/1TrDYXWc98R6ks2lsqdiiOop2pReWTvj0r77JenmApdasCbF5coOqaguw+W2r99166g03vIhI\n+5r9ThwZ5Eoj1cYSYyx2r8TyjdfLTyZXPpE8255bIPduF2/DmSeUy+uLfI1AWQ1nMhFdsqDHxhO7\nGhRJRQAAVY4qxUl0bOUFZatm7eCZb2vXEi0/963cBLS+dfWc9TYo2XOrEv9VQXQOVWU2tPideKlv\nEn946wbVcQylc6ITALClvIiL3VVvGelffYt1bCB3yzXkmcebS3JDyteU26u39omi3afkr0FEdC4t\nlU789LVRpBYysJeYVccpWqOJUWyv3K46hnZJCcyOry5rVz6hjA+tfhcMkLuEzNuwtOf2nqULUxpy\nHz11gNWm5u9CRIYV9NgQ4oldzYkkc8Wu3+5XnETDXi9uB1efuF3544XZ1b+m1J2bqeUtwIbbl2bs\n0jdPPWDnwbuVWOwSnceelnL87NUxZLISZhPfFrdeTkycgMPiQIO7QXWU/DrXuoRzvWWkrCZX0jbf\nfKawXS5vueuWiHSmLVAGKYGeyCyuruXKFxUSiwnE5+OodlarjqKOlEAiuvTksX/1E8nYQK64XTuP\nHf7ck8fq7cCWty89mWxa+qjmxmsiKm4Btw0v9kyojkFr8MQucnN2burcp22nBoGFmdW/pqRs6blu\nc26f/Mri1tvA4vYSsdglOo89zRV46OUhdI5N80npOuqc7Je6C7oAACAASURBVMTm8s0wCZ0XlZe6\nLqHUkxtglZtyi9pX7tTz1POEDxEZSlsgd8lT9/gMZ6gio7OjAIBaV63iJHl0rt17q97CmVz9a+zl\nuSeOVVuATXeuPnHrrQdKeNEcEWlLtceG8Zl5HjjSmPHkOEzCBF+pwd89mZo694ydGgTmp1c//vXi\ndvnQ0pri1ublPvl1xGKX6DyW9+y+2DvBJ6XrJJPN4NTkKby77d2qo1zY5a5L8DaeWZewfJM11yUQ\nUZFprHDCahboCs9e+MGUF2OJMQBAtUvHJ3ZXngRaeznZud7CafPm5nHFRmDDm87s3Fv+Vlqm5u9C\nRHSZqj12pLMSkZl5BD08DKIV0VQUfpsfZpPOV07Nxc9/4nY+vvrxJa4zL4o23niWE7c+FrcFxGKX\n6DyqPXY0lDvwUt8kPnJzi+o4htA/3Y+5zJw2Lk57w76fS1iX0HTTmcKW6xKIiN7Aajah2e9Ed3jm\nwg+mvBiZHQGg8RO7y7M4PgRMDZ19B985TwKteAvncnnL3XtEZEC1vtwKmJGpJItdDRlPjcPv0MF+\n3dTU0pwdPPucnVtT3FqdZ+Zq4/VrittGFrcaw2KX6AL2NJfj6c4wslkJE9/2csVOTJwAUMCL01JT\nZ3+7yPIrkWv3/Zx1XUJT7hvXJRARXZLWQBk6RuIXfiDlxdjsGEpMJSi3lasLkc0CifFcaRsfXPq4\n/ORy6ftrT9yuekK54iTQ8uf4Fk4iKjJ13lyxOxxLYXej4jD0umgyqn6P/fKcjQ+fufTz9Vm79HHt\nC6RWx5kTt/V718xZFrd6w2KX6AL2tFTgPw4P41R4Bluq3arj6F7nZCdKzaVo9jSvz2+48m0jZ3vr\nyPneNtJ00xvfnsl1CURE66a1yoUnjo0htZCBvUTnb1PUoZHZEdS4avK70z6Tzq0mWvVEcnDFxxEg\nM7/619i8uV225S1Ay625F06XLybzNACOcj6hJCJaoca7fGI3pTgJrRRJRbCtclt+/5DMYm7Oripr\nV7w4etY568nNU18j0HTj0pytX3oe3Mg5azAsdokuYE9z7pTLS70TLHbXQedEJzb5NsFiusgvP/Mz\nZyltV5S3c1OrH291nnm1kW8bISJSqi1QBimBnsgsd9UrMJYYu/KTRIupc58CmhoEZkYBmV39a1yB\n3JPI6muAzW8/syLBW5/7aOO/p4iILoWz1AKvw4qRGItdrVjMLmJybhJV9qor+40WEktzdu07W5Y+\nzoxxztJ5sdgluoD6cgdqvXa83D+J379xnU6ZFqmszOLk5Enc3XL3mU/Oz559z8/yx1Rs9W9idZwp\nauuvW3GLdQNffSQi0pi2gAsA0D0+w2JXgZHZEdxef/v5HzQXP/cpoKmh/9fefce5edb53v9c0mia\npvc+494dJ3FcSScGQiAbILuQUAIBNgs8lN3nWcKzCyw5cMiyy1ng0JYlLPUAWSAhCwkhjVTs2HFv\n4zYeTy8ee3qTdJ8/pPFomj22Jd23NN/366XXaGZUvrpt6+frp+u+ruDpneGMG7LKggPHmteNDyLH\nZttmV2jZIhGRKCjPSdOMXQfpHOgEoDC9cOYbhe/pEt6sDb8+cHrifVxJoTpbBfOum9iwzamCrHLV\nWZlAjV2RWVg/L48XjnZgWRZGTcOLM9J/blZPY/se+kb7WHbiFdh7Q7DATS5kSanjjdvytRNn2+ZW\nQ3q+GrciInGiOt+Lx2040tZ34RtLRA35huga6qIsOQeads6w7t40G6a4U4LN2ZzK0FrzVRNnAmWW\ngVtDCBGRWCvPSaOus9/uGBLSOtAKQInxwKltk5YiCqu1o5P+zJLSxhu1ZWvGG7bn6mwpuLR8lcye\n/lcmMgvr5+fxm11NHG3vY3Fxpt1xnOV8M33O1EPok0yAQ+lpUFzIsjOtkFUDpWvCFmqvCX71Fqpx\nKyKSIDxuF/MKvBxVYzc6fCPBpRC6G4Nr7IXNAmrurQcvlD33z9D/+fH7JGeODyir1k9cdy+7MliH\nXVFck1dERC5JeW4aLx3r1GSjWBodDKuvjaFLsIHbNnAKvFD88L0wOjp+n7TcYD3NXwjzbxyvudkV\nwfGuJipJhKmxKzILmxYUAPDysc651di1LOjvmHm9n7MNUzcnOzfTpwqWvnl8Z82cKg41PkXSsV+x\n8L6t4E625zWJiEhMLSrKZH9z94VvKBONnb45eTB57noj9LYC1sT7peVBTiUtOeUwWkfZ1R+C0nXj\nA0utNS8iEpfKc9IYGPHTPThKTrrGUpct4Ie+9on1tadp4veTzy7FQGYJZFfSmlsOI42U3PwFyFsU\nqrMVkDKH+gXiCGrsisxCZV46NfnpvHS0k/cn0jq7M+5kHVbMfEMT75OSHTbTZ+PE9X4uMNPnwKH/\nYFHOIpLV1BURmTMWFWfw+P4WBkf8pCXr1MJzRofCBpAzNG59k9ZSHPvwNLsCFtw0fj27IliDs8oh\nOR2AptqHYev/oGz9R8BbYsMLFBGRSKrITQOg8cygGruzMdQdmm07Q+O2pxkCvon3Sc4Iza4th7Ir\nJ9bX7Irg2rdJKQC0vfrPpB/9DRnrP6IPTMVWauyKzNLmhQU8uquJUX8AjztOTlEcGQgVrhlm2063\nk7W3KNisLV4JS94UXLQ9fGOU1Evb/CZgBdjfuZ9b590agRcmIiLxYnFxJpYFxzv65s4GamNnvExu\n1HY3jA8yJ29KBsEanF0BRctg0ZapjVtvwawHjy39LSSZJArTzrOpi4iIxI3ynNAHd2cH5049nYl/\nNNiYnfzBaPgHpsM9E+9j3OMN2sr1Uz8Yza4IjnVnWWdb+1sp8ZZoWQyxnRq7IrN07aICfrbtFHsa\nzrK2Js/uOGGnaDYydcZt6Puw9W2B8WKWE/udrOu66+gb7WNV4aqoPL6IiDjToqIMAI629ybOQHSk\nf+Kae5NP3exuAv/wxPt40scHkSUrx9fbG7tklZ+bBRQJDb0NlGWU4dYGLCIiCaE8NGO36czgBW4Z\n5ywruATC5A9Gw5u2My1FlF0BufOCY93JjdvMkohuStY20EZxenHEHk/kUqmxKzJLG+cXYAy8eLQz\nNo3dgD9YsM4NFCfvZN0AI5M2ownfYbP0iqk7bGaU2LaT9d6OvQCsLlhty/OLiIg9agq8eNyGI/Gy\ngdpY/Z2yTEJY43awa9KdTHAX6+yK4MagS28La9yW27K2bUNvA5WZlTF7PhERia7cdA+pHhdNZ+O8\nsTsyMH2N7QlfimjScoATliK6OVRbwxu3ZZDsjenLaOtvY2H5wpg+p8h01NgVmaXsdA+ry7N5+Vgn\nn7pl8eU92Nhs22kHjaGZPz3NYPkn3i81J9igzZsP868Pm21b6fgdNvd17iPTk0lNdo3dUUREJIY8\nbhfzCzI40tprd5TxjVLG6m9P89Trva1T629y5vimKBVrQ6dshs24zSoDt8ee1zSDht4GVhXoLBkR\nkURhjKE8J83ZM3ZHBsbr6dilu2nizwbPTLqTgYziYD0tXgmL3zh1KSKHjXNHA6N0DHZQ7NWMXbGf\nGrsiF+F1iwr47vMn6B0aJTP1PAO4yRui9ISdrjm2tt5o/8T7uJODA8Ps0DIJY+v8jC3eHuc7bO7r\n3MeKghW4TJysTywiIhGztDST7XWTZ7lGWCAQXNe2pzFsENk4cUDZ2zJ1o5Sk1FDNLYd5141fzwqb\nDXSJ68vbpXu4m96RXs3YFRFJMOW56TSeHbDnyUcGgnX03Iehoa/hNXdK05ZgU3ZsnFu5fmqNzSyD\npPjaDK5zoBMLi5J0bU4q9lNjV+QibF5YwLefO8quA4e4rnhkUrM2bJ29/o6pdx7bEKVwCSy8OWyW\nT+irtxBcidn0HPQNcvTMUe5dda/dUURExAbLS7P47e5mzg6MXNpO3pYF/Z3nado2Qk8LBEYn3s+d\nEhpMVkD1polN27FBZYyXSIiFht4GADV2RUQSTFVeGrtPTdM8vVyjg2FnsYTNtj3XuG2aZhkiQuva\nhmpr5brxmptVFqq1ZeBJi3xem7UOtAJoxq44ghq7IpMNdU9s1obNvN3Y3UhtSiPJ/z35FM2M8Ubt\n2Nq259bVi/yGKPHm4OmD+C2/1tcVEZmjlpVmAXCwpYdNCwom/tKyYKArrFE7+dTN0Iwg/8jE+7k8\n4wPIyvXjjdqxwWR2heNO3YwVNXZFRBJTdZ6XniHfxX1QGt607WmeuPzQWL2dqWk79oFo5TVhH4qW\nJ3TTdjba+tsANGNXHEGNXZlbphS1hvGlEcZm2w73TLyPcZ8bIJrKdTwZ2Mjx4Rw++bYbJ56iOQcH\njrM1tnHaqkKt9SciMqeEmrYr3ae4ybUTa/sBODk0dTbQ5E1SXEnBUzOzy6H8alj21mmatgUJe6bL\n5Rpr7FZkVticREREIqkqPx2AU10DwcbuufFt88wfjA6cnvpAabnBM0ezyqDimlB9rRj/wDSzFJLT\nY/zq4kdrv2bsinOosSuJY8JC7WGF7EKnj6TnB4tX3vzg2nrhO1hnVwQXcne5z92846U6vva7g7yt\n4LpzhVXOb1/nPsozyslLzbM7ioiIRIp/NLjRWG9LqPa2QO/Y4HLsegv4h8kDfpAMHAZq3cEBY3Y5\nlK6BJbeOn90yNhPIW6Sm7WVo6G2gMK2QtKS5OZNKRCTujZ3N0ts8ob6ub6vnh55D1Dw8CKMd069p\nm5Y7XlPL105cgmhspq2atpelbaANr8dLZnL87oEjiUONXYkPI/2TZtqGzfKZcXdNxk8fySoLnT5S\nNrGgZZVfdFG7aWkRD/zuIM8ebuOezfMi9AIT296OvVxVdJXdMUREZLaG+4I1dmxAObbxWPj1vnbA\nmni/sTVts8qCg8lloeuZpfzT82c5MZLNjz/+1gkfmErkNfQ2aBkGERGn8o1AX+ukD0Sbx+ts2Aej\nExmyvUXkmXROe6rIWnwtZJWOn+GSVRH8Ptlry8uaS1r7WylO12xdcQY1dsV+I/3TN2rDG7hDZ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I8yZzUI3dqKrrrgNQY1ccSY1dkSi4fU05malJ/GRrvd1RYqJ9oJ09HXu0DIOIiFyUlCQ319Tk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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa391e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def _tmp():\n",
" plt.figure(figsize=(24, 10))\n",
" # コストパラメータを 10^{-2, -1, 0, 1, 2, 3} として phi(z(x)) の値をプロットする\n",
" for n in np.arange(-2.0, 4.0):\n",
" lr = LogisticRegression(C=10.0**n, random_state=0)\n",
" lr.fit(X_train_std, y_train)\n",
" x = np.arange(-2, 2, 0.01)\n",
" # lr.coef_ は 3x2 配列、lr.intercept_ は 3 要素の配列で、各々が二値分類器のパラメータを保持する\n",
" ys = [sigmoid(np.sum(lr.coef_[k]) * x + lr.intercept_[k]) for k in [0, 1, 2]]\n",
" plt.subplot(2, 3, n + 3)\n",
" plt.plot(x, np.array(ys).T)\n",
" plt.title('Sigmoid function (C=%g)' % 10**n)\n",
" plt.xlabel('x')\n",
" plt.ylabel('$\\phi(z)$')\n",
" plt.ylim(0, 1)\n",
" plt.show()\n",
"\n",
"_tmp()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 左上が高バイアス、右下が高バリアンスな状態\n",
"- 両端の青線 (Setosa) と緑線 (Virginica) が急峻になっていくことで橙線 (Versicolor) が最大になる領域が出現している"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.4. サポートベクトルマシンによる最大マージン分類"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Setosa を分類する二値分類で SVM の決定境界を確認する。"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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sXbqUCRMm0KNHj7C1azDEG+bB3yjTtWtXcnNz+dvf/sa+ffucNsdQD8X7ismZ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xd0d3710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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K4E1Jj5vZ+3GrvmRm5+S9ga74LJiS/Kwn1bICaupjNqVSyDOnQcBiM1sCIOkR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\nvwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa706278>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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YRAXNbDwwHoI+p/w10UVCJjlKBc5faqzz0aUrnVSCTWb2dzNba2brq3+ysO8q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\nk3Mukjw4OeciyYOTcy6S/j/owpHwk5+yQQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x92412e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def _tmp():\n",
"\n",
" def plot_contour(f, levels, colors, resolution=0.01):\n",
" x1_min, x1_max = plt.xlim()\n",
" x2_min, x2_max = plt.ylim()\n",
" xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution), np.arange(x2_min, x2_max, resolution))\n",
" Z = f(np.array([xx1.ravel(), xx2.ravel()]).T)\n",
" Z = Z.reshape(xx1.shape)\n",
" c = plt.contour(xx1, xx2, Z, colors=colors, linewidths=1, linestyles='solid', levels=levels)\n",
"\n",
" # 線形 SVM でコストを巨大な数に設定する (ハードマージン SVM を模擬)\n",
" from sklearn.svm import SVC\n",
" svm = SVC(kernel='linear', C=1e10, random_state=0)\n",
" svm.fit(X_train_std, [1 if y == 0 else 0 for y in y_train])\n",
"\n",
" # 得られた重みベクトルを用いて決定境界からの距離を計算する\n",
" z = lambda x : (svm.coef_[0, 0] * x[:, 0] + svm.coef_[0, 1] * x[:, 1] + svm.intercept_[0])\n",
"\n",
" # 結果をプロットする\n",
" plt.figure(figsize=(4, 4))\n",
" plot_iris_dataset(X_train_std, y_train, 'train, standardized')\n",
" plot_contour(z, np.arange(-1, 2, 1), '#999999')\n",
" \n",
" # 参考にマージンが最大でないケースもプロットする\n",
" p_max = np.max(X_train_std[y_train==0, :], 0)\n",
" n_min = np.min(X_train_std[y_train!=0, :], 0)\n",
" center = np.mean([p_max, n_min], 0)\n",
" z = lambda x: (x[:, 0] - center[0]) / (p_max[0] - center[0])\n",
" plt.figure(figsize=(4, 4))\n",
" plot_iris_dataset(X_train_std, y_train, 'train, standardized')\n",
" plot_contour(z, np.arange(-1, 2, 1), '#999999')\n",
" z = lambda x: (x[:, 1] - center[1]) / (p_max[1] - center[1])\n",
" plt.figure(figsize=(4, 4))\n",
" plot_iris_dataset(X_train_std, y_train, 'train, standardized')\n",
" plot_contour(z, np.arange(-1, 2, 1), '#999999')\n",
"\n",
"_tmp()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ここまでの各アルゴリズムにおけるコスト関数の値をプロットする。"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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GEv5DcnFRfPBMVSpVC+LpmKHcSEiA2a0zRdLvV70fXSp1YcHeBYzfOl6SvhDi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\nXuhPBLiuRAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xd36e630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def _tmp():\n",
" J_hinge = lambda z: np.max([1 - z, np.zeros(z.shape)], 0)\n",
" J_perceptron = lambda z: np.max([-z, np.zeros(z.shape)], 0)\n",
" J_logistic = lambda z: -np.log(sigmoid(z))\n",
"\n",
" z = np.arange(-4, 4, 0.01)\n",
" plt.plot(z, J_perceptron(z), label='Perceptron')\n",
" plt.plot(z, J_logistic(z), label='Logistic')\n",
" plt.plot(z, J_hinge(z), label='Hinge')\n",
" plt.title('Cost functions (for positive class)')\n",
" plt.xlabel('z')\n",
" plt.ylabel('cost')\n",
" plt.legend()\n",
" plt.show()\n",
"\n",
"_tmp()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"線形カーネルで SVC を試す。"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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VtrJ+HNC3ghEDh9G3V2+at2/w/nQT1xSnRCTXSuYOE1hJBaED+lZwQN8K1rV4AQaAsv5U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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x90dacf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.svm import SVC\n",
"# 線形 SVM のインスタンスを生成\n",
"svm = SVC(kernel='linear', C=1.0, random_state=0)\n",
"# 線形 SVM のモデルにトレーニングデータを適合させる\n",
"svm.fit(X_train_std, y_train)\n",
"\n",
"# 決定領域を表示する\n",
"plot_data_and_decision_regions(svm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"LinearSVC を試す。"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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ZSCZTrmib7mHKMF17dqOs51AaGqBySwXVtVXpDkkk7+RKLYxcOQ/JPpFc1tVK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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8b93358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.svm import LinearSVC\n",
"# 線形 SVM のインスタンスを生成\n",
"svm = LinearSVC(random_state=0)\n",
"# 線形 SVM のモデルにトレーニングデータを適合させる\n",
"svm.fit(X_train_std, y_train)\n",
"\n",
"# 決定領域を表示する\n",
"plot_data_and_decision_regions(svm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"先ほどプロットした 3 通りの損失関数で SGDClassifier を試す。"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.linear_model import SGDClassifier\n",
"# 確率的勾配降下法バージョンのパーセプトロンを生成\n",
"sgd_ppn = SGDClassifier(loss='perceptron', n_iter=100)\n",
"# 確率的勾配降下法バージョンのロジスティック回帰を生成\n",
"sgd_lr = SGDClassifier(loss='log', n_iter=100)\n",
"# 確率的勾配降下法バージョンの SVM (損失関数 = ヒンジ関数) を生成\n",
"sgd_svm = SGDClassifier(loss='hinge', n_iter=100)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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/e39C71EkGaL1oehoeyqOl859s0HQ4s1nQcpTAD179uSBBx7httu+eihPPb2I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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xd36ea58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sgd_ppn.fit(X_train_std, y_train)\n",
"\n",
"# 決定領域を表示する\n",
"plot_data_and_decision_regions(sgd_ppn)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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6dTpFRR3vmK9a1cC1136FXbt2AfCjH93T4fl+/UqZ8sDDfO0bN9Pa2kx5eTmz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\nAAAgAwMmAAAAAMjw/4bCdZOsM9BVAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xe4732b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sgd_lr.fit(X_train_std, y_train)\n",
"\n",
"# 決定領域を表示する\n",
"plot_data_and
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