{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## [sklearn.tree](http://scikit-learn.org/stable/modules/classes.html#module-sklearn.tree)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Sklearn tree examples](http://scikit-learn.org/stable/modules/classes.html#module-sklearn.tree)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from matplotlib.colors import ListedColormap\n", "from sklearn import model_selection, datasets, metrics, tree \n", "\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data generation\n", "We will solve the problem of multi-class classification. For that we generate data from **sklearn** datasets: 3 classes with 2 features each. These features will be shown as *x* and *y* coordinates." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "classification_problem = datasets.make_classification(n_features = 2, n_informative = 2, \n", " n_classes = 3, n_redundant=0, \n", " n_clusters_per_class=1, random_state=3)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(100, 2)\n" ] }, { "data": { "text/plain": [ "array([[ 2.21886651, 1.38263506],\n", " [ 2.07169996, -1.07356824],\n", " [-1.93977262, -0.85055602]])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# features\n", "print(classification_problem[0].shape)\n", "classification_problem[0][:3]" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2,\n", " 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2,\n", " 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0,\n", " 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2,\n", " 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# let's output labels (targets)\n", "classification_problem[1]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# colormap list for the classes dataset (as marks/dots)\n", "colors = ListedColormap(['red', 'blue', 'yellow'])\n", "# colormaps for the building of dividing surfaces\n", "light_colors = ListedColormap(['lightcoral', 'lightblue', 'lightyellow'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot out the colored dataset labels on the 2 features surface, **x, y**. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pylab.figure(figsize=(8,6))\n", "pylab.scatter(list(map(lambda x: x[0], classification_problem[0])), list(map(lambda x: x[1], classification_problem[0])), \n", " c=classification_problem[1], cmap=colors, s=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Split dataset for train and test subsets." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "train_data, test_data, train_labels, test_labels = model_selection.train_test_split(classification_problem[0], \n", " classification_problem[1], \n", " test_size = 0.3,\n", " random_state = 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model DecisionTreeClassifier" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DecisionTreeClassifier(random_state=1)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf = tree.DecisionTreeClassifier(random_state=1)\n", "clf.fit(train_data, train_labels)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7666666666666667" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "predictions = clf.predict(test_data)\n", "metrics.accuracy_score(test_labels, predictions)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0,\n", " 2, 0, 0, 0, 2, 1, 2, 0])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "predictions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dividing surface" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "def get_meshgrid(data, step=.05, border=.5,):\n", " x_min, x_max = data[:, 0].min() - border, data[:, 0].max() + border\n", " y_min, y_max = data[:, 1].min() - border, data[:, 1].max() + border\n", " return np.meshgrid(np.arange(x_min, x_max, step), np.arange(y_min, y_max, step))" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "def plot_decision_surface(estimator, train_data, train_labels, test_data, test_labels, \n", " colors = colors, light_colors = light_colors):\n", " #fit model\n", " estimator.fit(train_data, train_labels)\n", " \n", " #set figure size\n", " pyplot.figure(figsize = (16, 6))\n", " \n", " # plot decision surface on the train data \n", " pyplot.subplot(1,2,1)\n", " xx, yy = get_meshgrid(train_data)\n", " mesh_predictions = np.array(estimator.predict(np.c_[xx.ravel(), yy.ravel()])).reshape(xx.shape)\n", " # draw the dividing surface\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n", " # above the surfaces we put the class labels (train data)\n", " pyplot.scatter(train_data[:, 0], train_data[:, 1], c = train_labels, s = 100, cmap = colors)\n", " pyplot.title('Train data, accuracy={:.2f}'.format(metrics.accuracy_score(train_labels, estimator.predict(train_data))))\n", " \n", " # plot decision surface on the test data\n", " pyplot.subplot(1,2,2)\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n", " pyplot.scatter(test_data[:, 0], test_data[:, 1], c = test_labels, s = 100, cmap = colors)\n", " pyplot.title('Test data, accuracy={:.2f}'.format(metrics.accuracy_score(test_labels, estimator.predict(test_data))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decision trees" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":14: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n", ":21: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# simple decision tree with max depth = 1\n", "estimator = tree.DecisionTreeClassifier(random_state = 1, max_depth = 1)\n", "\n", "plot_decision_surface(estimator, train_data, train_labels, test_data, test_labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now creare a better desition tree with depth more than 1." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":14: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n", ":21: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n" ] }, { "data": { "image/png": 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AA4ErjTHjinBeEREpIrNhA7EHH8RkMi0/n04Tmj2b0FtvlTkyKQG1zSIiUpU6nYBaa5daa9/I/bwRmA0M7+x5RUSkuMKvvZZ3dNOk00ReeKFMEUmpqG0WEZFqVdQquMaYUcDewKstPHe5MWa6MWb66sbGYr6tiIgUIPTOO5hsNu9x3tq1mPr6MkQk5aC2WUREqknRElBjTB3wL+Ar1toNWz9vrb3OWruftXa/ATU1xXpbEREpUGtTb7fheZBOlzYYKQu1zSIiUm2KkoAaY0K4Bu4Oa+39xTiniIgUl9+3b2EHWoutrS1pLFJ6aptFRKQaFaMKrgFuBGZba3/b+ZBERKQUkgceiA2H2zzGGkN6t90gz3FS3dQ2i4hItSrGCOghwGTgaGPMzNztk0U4r4iIFFFm113xe/XCem189QeDJA8/vHxBSamobRYRkaoU7OwJrLVTAe1aLsWRzRJ8/32CCxaA75MdMYL0uHEQ7PSfqogEAjRcdBG1t9yCt349JpXa9JQNhcDzaDjvPPxBgyoYpBSD2mYREalWuqqXqhGcM4fY/fdjstlNF8Z25kxijz5K/KSTSE+YUOEIRbo+W1dH/RVXEPzwQ8KvvYa3fj02HCa9116kJkyASKTSIYqIiEg3pgRUqkJw7lxq7rlnmyqdTYlo7OGHwRjSe+xRifBEuhfPI7PzzmR23rnSkYiIiEgPowRUKs9aYg891OYWESaTIfboo644Srmn42azBN97j/C0aXgbN2JjMVL77EN6/HgVahERERERaQcloFJxgfnzMYlE3uOstQTff5/M7ruXISrHrF1L3c03Y+LxLdbLBZYvJ/rUUzRMnoy/3XZli0dEREREpCsryj6g0sOl05g1azDr14O17X55YNkyyGbzHuelUgSWLOlIhB2TTFL3j39gNmzYIvkEMOk0XjxO3S23uM8tIiIiIiJ5aQRUOsysX09kyhTCb73lHrAWG4uRPPhgUhMnQiBQ2Ik8D0z+Yo226dgyCb/1FiaRwLSVVKfTRF56icQJJ5QtLhERERGRrkojoNIh3sqV1P31r4RnzMCk0+6WyeBt3Ej0mWeoveUWaGNNZ3OZkSMLSkAJh8nusEMnIy9c+JVXMOl0m8cY3yf8xhsdGvkVEREREelplIBK+/k+tbfd5kYHfX+bp006TWDJEiL//W9hpxs2DL9fP/KlcDYcJjN6dAcC7hhv48bCDsxmYaspuiIiIiIisi0loNJuwblzXfLZxjEmkyHy+uuQZwSxSeMZZ0A43GoSakMhGs86q6xTcG2h1XatLX9lXhERERGRLkgJqLRb6O23tynK0yJjCM6fX9A5/aFDqb/kEvyhQ7HBIDYU2nTLDhxIw+TJZEeN6lzg7ZTedVdsAVODsyNHFr7eVURERESkB9OwjbRbIVumAG5ksB1TU/0hQ6j//Ofxli8nsGgRWIs/bBjZ4cM7GGnnpA46yBVYamMtqw2FSB52WBmjEhERERHpupSASrv5/ftjPa/F9Z9bs717t//8Q4bgDxnSkdCKyh80iPjxxxN74okWixHZUIjk/vuTGTu2AtGJiIiIiHQ9SkCl3VL77kt4+nTIk4DaWKxio5fFkt5vP/x+/Yg++yyBpUvdWs9sFr9vX5JHHkl6/PhKhygiIiIi0mUoAZV28wcNIrPjjgTnzcO0Mj3VhkIkJk0qbHuVKpfdaScadtoJs2EDpqEBG4th+/atdFgiIiIiIl2OihBJhzSefTbZESNcoaBmj1vPwwaDJI46ivQee1QsvlKwvXvjDxum5FNEREREpIM0AiodEw7TcMEFBObNI/LSSwRWrMAGAmTGjiV14IH4/ftXOsKuKZsl+OGHeOvWYUMhMmPGdGgdrYiIiIhINVICKh1nDNnRo2kcPbrSkXQLoWnTiP73v664k++76cvWkhk9mvhpp2FraiodooiIiIhIp2gKrkgViDz/PLEnn8RLJDCpFCaTwaTTmEyG4Ny51F5/PRS6/Y2IiIiISJXSCKhIhZm1a4m88EKrBZ1MNou3YQOR558nedxxZY6uG0smCb/5JuFXX8XU10M4TGr8eFITJ2L79at0dCIiIl1LOk3o3Xfxli+HQIDM6NFkR43qFgUppbiUgIpUWPjVV8HaNo8x2SyR118n+YlPuK1gqlk26/4bCFQ2jjZ4q1ZRe9NNbrS5aY/XZJLIa68RmT6dxtNPJzNuXGWDFBER6SJC06YRe+opAEwqhQUir76KjcVoPOecLr8tnxRXlV/JinR/oY8+wjQlbXl4q1fjDxlS4og6IJMhNHMmkRdfxFu7FgC/b19ShxxCau+9qytpTqVc8tnQwNZ9siabhWyWmvvvp6FPHzWYIiIieYRffZXo009v7tAF176mUphUitqbb6b+kkvwhw6tWIxSXbQGVKTS8ox+bpIrSlR1Uilq//EPYk88QWDtWgyu4QmsW0f0ySepveEGSCYrHeUmoVmz3MhnWwdlMkSef75cIYmIiHRN8TjRp57aIvncRjpN7NFHyxeTVD0loCIVlh0xAlvI+ohsFr8K1ybGHnqIwIoVLTY+Jp0msHIlsQcfLH9g8TihmTMJv/wyoTff3FTEKfLaa203lLgEOjh3blUlziIiItUm/Oabedd4GiCwbBne6tXlCUqqXhXNixPpmZIHHkjo7behlSJEANbzSO+xB0QiZYwsP7NyJaHZs93WMa0dk80SmjOHxIYN5dnTNJMh+vjjrlH0PLcmNRAg9sgjpPbeG7NxY2Hn8TxMPI6tst+5iIhItQgsXJi3U9cdGMBbtgx/wIDSByVVTwmoSIX5Q4aQmjCB8Ntvt/glbo3BRqMkjjqqAtG1Ih4n9u9/E3rnHbdnaQFCs2eTOuCA0sbl+9TceSfBBQu2rCqcW2MbnjGj8Gp82aySTxERkbYU2qZaq2q4somm4IpUgcRJJ5Hcbz9sMIjNFeyxgA2F8AcNov6yy8ozeliIRIK6668n9O67GN9vey1lk0wGE4+XOjJC77xDcOHC1re0yWTA97Fe/q++7HbbQSxW7BBFRES6jczo0dhwOP+B2awK+8kmGgEVqQaeR/K440gddhihWbPwVq/GRiJkdtml6r6wo//9L9769QVX7gUgFMLW1pYuqJzIiy/mX9+ZzeZdc2tDIZJHHFHM0ERERLqd9PjxxB5/vM1jrDFktt8e26dPmaKSaqcEtFisJbB4MeHXX8esX4+tqSG9555kdtrJrUMTKYCtqSE1cWKlw2hdKkV45sz2JZ8A1pIu9b6a1rrNrwthjBtpzmQwW1UWtqEQyUMOITN2bAmCFBER6UbCYeKnnELs4YdbX0YUiRA/+eQKBCfVSgloEZjGRmruuIPAihWbLmgtEPrgA/yaGhonT9aia+kWAsuXYz2vsGm3OTYYJL3HHmUZAW2P+s99jsjUqYRmzXJrU6wlu/32JA47jOxOO1U6PBERkS4hvcce2FCI2KOPYlIpV3chN9MoO2QI8TPOwPbvX+EopZooAe2sTIbam2/GW716i1Ghpg14vXSa2htvpP4LX8DW1VUsTJGiyGbbl3yGQmS23574iSeWLKRNjMHv359AAWXe/YED8QcOJH7aacRPPhmTTGJDIQiFSh+niIhIN5PZdVc27rwzgY8/JrByJXgemVGj8AcNqnRoUoWUgHZS6N138daubXVKorEWkknCr7xCctKkMkcnUlz+wIFtbhfTxAK2ro74SSeR2Xnnsk1DTx56KLF//7vNdaA2FCJ56KGbHwgEsDU1ZYhORESkG/M8sqNHkx09utKRSJXT4sROirz0UkFFTyLTphW8XYVItbJ1dWR23BGb78BgkIYLLySz665lXQOd3mMPsgMHYgOBFp+3wSDZwYNJ77572WISERERkc2UgHaSWbu2sAPTaUilShuMSBkkjj0W2ii5bkMh0nvs4UZLy60p8R0zxm1pk0tEbSCADQRIjxlDwwUXQCsJqoiIiIiUlqbgdlahozvW6qJXugV/8GAaLriAmjvvxKTTruAALsnDGFJ77knik5+sXICRCI2f/jRm3TpC77yDaWjA1tWR3n13lYAXERERqTAloJ2UGTOG0KxZ22zlsDV/8GAVOJEtNa2lDHa9f4bZ4cPZ+PWvE5wzh9Ds2ZBO4w8aRGqffbC9e1c6PABs376kDjmk0mGIiEhz1uItW4bX0IBfU4M/dKi2qxPpYbrelW+VSR58sLsAb6MwyzZFT6TnymYJvfkmkRdfxFuzBgDbqxfJgw8mtc8+bU5trTqeR2aXXcjsskulIxERkWpnLaEZM4g+9xwmHndbelmLjURIHHEE6X333bR1h4h0b+py6iR/2DCShx7qtnBogQ2FSI8dS3r8+DJHJlUnnab2lluI/fvfBFavxliLsRZvwwaiTzxB3V/+AvF4paMUEREpushTTxF7/HG8DRsw6TReMolJpfA2biT2xBNE//3vSocoImWiBLQIkkceSfzEE/H79MGGw/iRiPtvLEbi8MOJn3WWevXEJZ6LF2NaGC031uKtW0fd3/9egchERERKJ/Dxx0SmTWt11wCTThOeOZPg3LlljkxEKkFTcIskvddepPfck8CSJZj6emw0SnbECBUeEiceJ/T2263uFwtgAG/dOsJTppA6/PDyxSYiIlJCkRdfdLsBtCWdJjx1KpmddipPUCJSMUpAi8kYssOHVzoKqUKhDz4o6DgDRKdOJXXooSrK0BZrCSxYQHjaNLx167DRKOk99yS9225dsqiTiEh3Fpw3j3zzwAwQnD+/HOGISIXpSk2kDEw83mahqi1kMgQWLyY7cmRpg+qiTGMjNXfcQWDFCkinN13UBBcsIPr44zRMnow/bFhFYxQRkWZ8v/DjrO36y5aSSbz16yEQwO/XTx3KIltRAipSBra21jWoebbrAcAYzMaNpQ+qK8pmqbn1VgIrV24zndmkUpBKUXfzzWz8/Oex/fpVKEgREWnO9u6NWbcu/3G9enXp5NOsWUP02Wfd7gieB9a6nRAOPJDUwQdrho5IjrpkRMog3Z6tSgIBbDRaumC6sOAHHxBYs6bVtbQGIJUiOmVKWeMSEZHWJQ88sNXdAprYYJDkAQeUKaLi85Yto9ff/+72hs9kMKmUq/bb2Eh0yhRqb7op/zpYkR5CCahIsWSzmMZGSKW2fS4cJj1uHAWMf7q1xNtvX+zouoXIyy+7kc42GGsJvf22GnoRkSqR2ntvbE0NtpXRTWsMNhYjte++ZY6sSHyf2ttvh2QS08JMJ5PJEFi+nOjTT1cgOJHqo7kAIp1k1q4l8uKLhN98c9P6leywYSQPO4zMrrtuOi5+xhmEPvgA22zd4tZsKOR6gDVNp0XemjWFHWgMpqEB27dvSeMREZECRCLUX3IJtbfeirdhA6RSGHCdsuEwfl0dDeefD7FYhQPtmOCcOW7Es41jTCZD+I03SEyaBHlGg6WDfJ/g3LkE5s3D+D7ZoUNJ7767ft9VqChXucaYfwAnASusteOLcU6RriCweDG1t97qiuE0K7IQXLyYwL/+RWrvvUmccIJb0xIIsPGKK6i77jpIJLZpqGwoRGbUKJJHHFHWz2Dq6wm+9x4mkcDW1pLeddeqvQiwhSbmvq8kXno8tc1STWzv3tRfeSWBefMIv/463saN+L16kd57bzKjR3fpQj2ht9/OOzsHAM8jOH8+mTFjSh9UDxOYP5+ae+/FpNOb/l/YcJjYv/9N/NhjSe+3X4UjlOaKdYV2M/An4NYinU+k+qVS1Nx2GyaZbPFpk04TnjGD7PDhpPfcEwDbvz/1X/oS4ZdfJjJtmquMay1+//4kDz2U9IQJ5WuEUyliDz9M6L33XIKcyUAwSOyxx0jtsw+J446run1sM7vuijdtWpv7qQL4ffq4wk8iPdvNqG2WamIM2dGjiY8eXelIiqq164AWaXlI0QUWLaL29tsxW/1umxLR2BNPgLWk99+/EuFJC4qSgFprpxhjRhXjXCJdRWjWrLyJkEmniTz/vEssc2tfbG0tyUmTSB59tBt1DAQgEilHyJtlMtTecguB5csxzbeHyX15h2fMwFu/nsZzz62qXunkAQcQnj69zWNsKETy0EO7dCVFkWJQ2yxSHtmBAwnOnbvFTKgW+T5+nz7lCaoHiT3yyDbJZ3MmnSb25JNuMCAcLmNk0prqubIU6WLCb7zR5hdeE2/DBszatS084WFrasqffAKhmTMJrFixZfLZjEmnCX70EcEPPyxzZG2z/foRP/74Vqfi2lCI9E47kd5rr/IGJiIiPVZ6330L6qz16+q0T3WRecuXF1wfIvT22yWORgpVtkVSxpjLgcsBRqr3R7oBk0gUdmAggEkmC6uAWyaRF1/MmzybdJrISy+R2XnnMkVVmPR++2H79CH61FN4a9du3mstGCR5yCGkDjqoqkZtRapZd2ybF6/vxYPv7s6ahhiD6ho4bfd3GdqrvtJhSTfmDxxIZswYgh9+2GrHrg2FSBx7bPXMzkkmCc2Zg2lsxK+tJTN2bJccHQwsXYo1ps0CUJDrWF+0yHUWSMWVLQG11l4HXAew93bbVdO1uEiH+L17E1i1Kv+B2Wx1rUfMZPAK2BAcILBkSWlj6aDM2LHUjx2Lt3o1ZsMGbCSCP3SoEk+RdupObXN9MsQVD5zGk3N2BizJbIhoMM01T0/ipF3f40+nPkws1HJyINJZjWeeSc3ddxNcsMAVJsw9bgMBMIb4sceS2W23LV/k+3jLl7vlOHV1+IMGlT7QTIbok08SfuMN12b6/qaO3OTEiSQ/8Ymu1Za2I6FvbRsgKT+ViRTpoNT++xNctChv5bvs0KHY3r3LFFXP4g8YAAMGVDoMEamwVMbj5Fsu4N0Vg0lmN1/aJDJu+4XH3tuVJRt688gFtxAMdOk8W6pVKETjZz9LYMECwq+8QmD5cggESO+8M6mJE7HNZxhYS3jaNCJTprhrCGPc+tDevUlMmrRtolosvk/NnXcSXLCgxZHayGuv4a1dS/zss6tnpDaP7MiR+dfeAn44THbHHcsQkRSiWNuw3AUcCQw0xiwCrrHW3liMc4tUq8zOO+PX1uKl0y1uPA1u25DE0UeXObI8gkFsnz6YAkZBs0OGlD4eESmJntQ23/v2BN5fOYhkpuX9/hKZEG8tHcbDs8dxxvh3yhyd9BjGkN1hB+I77ODuZ7ME33uPmnvvxVu9GjyPzI47uumg8+ZtsxQmsHo1NfffT+LII0kdckjRwwvNmkVw4cI26z+E5swh/eGHbkpuF+D37092u+0ILFjQ9j6sxpAuVWIv7VaUMXZr7aettcOstSFr7Yju2sCJbCEQoOHCC/F798ZutW7Ceh42GCT+yU+SrcJy88mDD8bm2ZjZhsMkS9AAikh59KS2+fdTD6Yx3fb6tYZ0mP+bqu80KZNEgtrrr6fmwQcJLl6Ml0jgNTYSeucdgh980GodBpNOE332Wbzly4seUmTq1MLqP7z4YtHfu5Tip54KkUirtTZsKETjGWdof/Aq0oUmeYtUH9unD/Vf/CLxE04gO3gwfjSKX1dHat99qb/iCtL77FPpEFuU2ntv/P793dqUFthgkMyIEVVXgEhEZGu+Dx+uKWwq/nsry7DGTgSovesuAitXbrs3Ze7WpmyWyMsvFzcg38dbsaKgQwOLFxf3vUvMHzCA+ssuIzt8ODYY3HwLh/H79KHx3HPJ7LJLpcOUZtQVINJZoRDpvfcmvffelY6kcKEQ9RddRM399xOcOxcAk8267U2sJT1+PPGTTupahQhEpEfqIkvVpAfxli0jsGRJ3r3CW2OsJfjBB0WOqh1aWVZUzfyBA2m47DK8lSvddFzfJzt4MNntt9eXRBVSAirSU0WjNJ53Hmb9ekLvvouJx7F1daTHjcPW1VU6OhGRghgDuw5ayewV+des7zF0WRkikp4u/MYb0Mo6y0J1NHltlee5+g/r1+c91B84sLjvXUb+oEHlqSYsnaLhDZEezvbpQ+qgg0gefbSr1KfkU0S6mK8c8iI1obYrkteGknzl0K61tq2zTH09wTlz3JrDDRsqHU6P4a1b12pxwkL5ffsWJ5hmkgcf7GY6tUH1H6QcNAIqIiIiXdqZ42dx2xt7M33xiE1brzQXC6Y4aIcFnLjLexWIrvzM2rXEHn+c4Ny5mxIOk8mQGTWKxCc/6bawkpKxNTVYCljr2drrQyGSBx9czJAAV/8hPH063po1LY6w2mCQ7KBBpMeNK/p7izSnEVARERHp0oIBy78m38GZ42cRDaapDSUJellqQ0miwTTn7fUmd3367h6xrN1bs4a6v/+d4Jw5mGwWL5nESyYx2SzBuXOpu+66govRSMekJkyAcNtVmVtjPQ+/V6/SJIHhMPUXX0xm++1dkZ7cP4imyv2ZnXai4YILoJUChSLFohFQERER6fIiwSx/Pu1hfnLsUzz23i6saaxhYG0DJ+76Hn1jyUqHVzax++7DJJMtTgE1gE0mqbnnHuq/+EUVZymR7I474tfV4a1d2/o+4QCBwKaRSAsQDuP37UvD+edDnq3SOiwWo/GCC/BWrSI0axamvh7buzepPfbA9utXmvcU2YoSUBGRdvBWrSL8yiuucFMmg9+rF6kDDiC1554QiVQ6PJEer39NnMn7zKx0GBXhrVhBYMWKNtcfGsDbsIHA4sVkR4woX3CVks0SnDfPJVqxGJnRo0uX3DUxhobJk6m74QZIJLaZ7mpDITKjRpHac0/Cb76Jicfxe/cmtf/+ZEeNKkvHgD9wIMkjjyz5+4i0RAmoiEiBQjNnEnv0UfB9jO8DEFi9muhTTxGZMoWGiy/G79+/wlGKSE8V/OijwrbQyGQIfvRR905ArSU8dSqRqVPdyK+1YAzGWpITJ5I86qiSTjW1/fpR/4UvEH75ZcLTp7v9QK3F79+f5KGHkp4wATyPzPjxJYtBpFopARURKUDg44+JPfoopoXS+iadhkyG2ptuYuOXvwx5qgyKiJRENltYAmptp7cJqWrWEnv4YTfFNJ0GtiwIFHn1VQIrV9J47rkl3e/a1taSnDSJ5NFHQzLpEt4Org0V6U50lSTSlWQyhGbPJjRjhpuy07evm7Kz445ay1Ni0WefbTH5bGKshWSS0Lvvup5tEZEy8wcOdB1gqba3pCEc7tJ7PeYTmDdvi+RzayadJvjRR+77uhwjkJ4HsVjp30eki1ACKtJFeMuWUXvrrZhMBpO7uLBLlxKaOxe/Xz8aJk/unnt4Wou3fDnexo3YSITs8OFlr9BnGhoILFqU/7hUivBrrykBFZGKyIwZg/W8grb/SO+2W8njqZTIiy9CK8lnE5NOE5k6tTwJqIhsQQmoSBdg1q+n7qabIJnc4sLCAKRSeCtXUnvTTdRfcUW3mv4ZfOcdok8/jVdfv+miynoeyYMOInXooSWdOtWcaWx0SW8L+6Ztc2x9fRkiEhFpQSBA4oQTiD3ySKszNmwoRGLSpNIX4qmg4IIFBSXh3rJl4Ptla0tExNG/OJEuIDJ1KqTTrTaoxvfxNm4kNHt2WeMqpfBLL1Hz4IME1q7FpNNuH7tkEi8eJ/rCC9Tcc4+7cCgDG40WlHxuOlZEpELSe+5J/Pjj3T6PzZJMGwxig0ESRx1FauLECkZYBoWsg+3IsSJSFN1nqESku8pmCc+cuanqamtMKkX4pZdI77FHmQIrHW/lSqLPPNNqD/6m9TtvvUV6r71KHo/t1Qt/4EACy5e3fVwoRHqffUoej4hIW9L77Ud6990Jz5zpKuMCmR12IL3PPtiamgpHV3p+//4EVqzIe5zt1avsSzoAjbpKj6cEVKTKmXi84B5ab9260gZTJuFXXsk74rhp/U4ZElCAxJFHUnP//a0WtQDA89x+oCIilRaLkTroIFIHHVTpSMouecghrmp5G9/XNhgkWcbfjVm7lsgrrxCeMcMViQoESI8bR/KQQ/CHDi1bHCLVQAmoSJWzwWDhU00705Pr+wQ/+ojA4sVgLdlhw8iMHVuRXtrQBx+0uZF6E2/NGojHy1JdMLPbbiQPOIDIq69uc1FjPQ+CQRomT4ZIpOSxiIhI69K770745ZcJrFyJaaEz03oefl0dqX33LUs8gY8/pvbOOyGT2TybKZslNGsWodmziZ90Utk6U0WqgRJQkWoXjeIPGpR/+qfndbiqYWDePGr+9S9XXbepfH84jA0GiZ92Gpmdd+7QeTuswPWWeB4mm6VcK3iSkyaRHTWKyNSpBObPd1vfBAKk9tqL5MEHY/v1K1MkIiLSqmCQhgsvpOaeewguXAjZLMZarDEQDJIdNIjG884rS4eh2biR2jvv3FS9fovncvuxxh57DH/QIFflXaQHUAIq0gUkDzuM2EMP5Z/+ecAB7T53U8/sNudOpTCpFDX33kvj2WeT2WWXdp+7o/z+/fEaG/Mf6HnYMu+tlhkzhsyYMS5JTqfdpuJayyMiUl2iURovuABvxQpCM2fibdiArasjNWEC/nbblS2M8PTp+WcxpdOEX3iB+Kc+VZ6gRCpMV00iXUB6991J77bbFhUNm7PBIIljj23/xuLWUvPAA20mtiaTIfbgg2WrOAu40cQ8WwRYzyO1996VKSAB7n2jUSWfIiJVzB88mOSxxxI/6ywSxx9f1uQTIDxjRqsF9ZoY3NKTgmf/iHRxunKSLsc0NBCYP5/AggWQTFY6nPIwhvjpp5M45hj8Xr2w4TA2EsEGg2SHDKHxnHM6VFY/sGCBK3KU7+2zWYIffNCRyDsks8su+P37u7WVLbCADYdJHnJI2WISERFpL5NIFHig2bwERqSb0xRcKQ9r3XRFa92URVPIFtFbMmvWEHvySYJz5kAwiMUlRunx40kccwy2trb4cVcTY0hNnEhq//3xli/HJJPYujr8AQM6fMrAkiWF9bimUgSWLCGz664dfq92CQSov/BCau+4w619zWQ2FSVqSr4bzj8f27t3eeIRERHpABuLtbj+c9sDc9dHIj2AElAprUyG8IwZRF58EbNhAwC2pobkgQeS2n//ggsAeCtXUnfDDW5dorWuoEDuudBbbxGcO5f6yy93e3p1d8YUr2R7BzoCyiYWo+GSSwgsXkx4+nTMunXYWIz0XntVrDqviIhIe6T22YfICy+0OQ3XGuOKCFZqSYlImSkBldJJp6m9+WYCK1ZsscbQ1NcTfe45wjNm0HDJJfk3xbaWmrvugmSSltIl4/vQ0EDswQdpnDy5uJ+hm8sOH+4SuXyjoOEw2REjyhNUc8aQHTGCeCXeW0REpJNS++1H5KWXoK11oMEgyUMPLV9QIhWmIQQpmdijjxJYvrzFAjcmk8Fbt47YP/+Z9zyBhQvxNm5sMfncdD7fJzh/Pmb9+k5E3PNkR4zAL2DU2IZCrvKriIiIFMzW1tLw2c+6ug1bjXBaY7ChEI2nnoo/bFiFIhQpPyWgUhKmsZHQO++0OeXEZLMEFy7EW726zXMFP/jArR/N+6aG4Ny57Q21Z8sVN2qr4qwNBmk84wxNeRUREemA7MiRbLzySpIHHYRfU4P1PGwkQmqffaj/3OfIjB9f6RBFykpTcKUkgu+/X9j6Qt8n9O67JA87rNVDTDrd5ujnJtbmLXUu28qOHEnD+ecTu/9+vPp6t92Kta7QUzRK42mnkR09utJhioiIFI/vuw7wbBa/Tx8o8Z7StndvkpMmkZw0qaTvI9IVKAGVkjCJREH7RhrfxzQ2tnmMP3AgNhRqc69KADwPv3//9oQpOdmRI6m/6ioCCxcSWLTIPTZsGNlRo6q7UJGIiEh7ZDJEXnyR8KuvuusKz4NMhvTOO5P8xCfav5+2iLSbElApCdurl6vmlqe4jQ0E8PNspZHaYw+iTzyR/z2DQTIaqes4Y8huvz3Z7bevdCQiIiLFl8m44ojLlm0zYyr03nuE5s6l4YILXIE+ESkZJaBSEumddyaW27exTcaQzrf2IRolefDBRF5+udVRUBsKkTjuOK1TrGapFKFZswhPn47X0IBfU0Nq331JT5igvc9ERKTkIs8802LyCbgt3lIpam6/nY3f+Ia2RBEpIV2tS2mEwyQPOCBvcZv0uHEF7d2ZPOookvvvjw0Gt6giZ4NBbDBIYtIk0nvuWZTQpfi8FSvo9X//R+zxxwkuWYK3fj3BpUuJPfEEvX73O7ylSysdooiIdGfpNJHp0/PWijDZLMH33itTUCI9k0ZApWSSRx+Nt349offeg60KCdlQiMzIkcRPOaWwkxlD8thjSe2/P+Fp0wguXAjGkNlpJ1L77outqyvJZ5DOMw0N1N50EyYe36aYlEmn3X6xt9xC/ZVXFtQZISIi0l6BRYsKqmlgUilCb79NZvfdyxCVSM+kBFRKx/OIn3EGqY8/JvLSSwQWLgTAHzKE5CGHuH0l2zll1vbrR/LYY0mWIl4pifDrr7dZydgApNOEX31V1QFFRKQkTDqNhYKq6pukrjJESkkJqJSWMWR33JHGHXesdCRSIeHXXitoylP49deVgIqISEn4fftiCqjOb41RJVyREtMaUBEpqXzb7Gw6Lh4vaOseERGR9vIHD8bv2zf/gYEAqf33L3k8Ij2ZElARKa1ggRMtAgFVMRYRkZJJHHssto02qWk7N3/w4DJGJdLz6GpPREoqvcsu2DyFHyyQHju2PAGJiEiPlBk7lvhJJ22qoN/EkiuOuMMONJ59duUCFOkhtAZUREoqefDBhGbPhrbWgYZCpA45pHxBiYhIj5Teay8yO+1E+PXXXZX+TIbs4MGkDjyQ7MiRBVXKFZHOUQIqIiXlDxtG4thjiT71lNt2ZSs2FCJx5JGu4RcRESkx26sXySOPJHnkkZUORaRHUgIqIiWXmjiR7MCBRJ99lsCSJW69ZzZLdtgwkkce6bbkEREREZFuTwmoiJRFdvRoGkaPxjQ0YBobsTU12NraSoclIiIiImWkBFREysrW1irxFBEREemhVAVXREREREREyqIiI6CB7QbS55oLK/HW0kXc/3640iGISFfywx9WOoIuT22z5KO2WUTapZW2WSOgIiIiIiIiUhZKQEVERERERKQsipKAGmOON8a8b4z50Bjz7WKcU0RERDpObbPItkwmw3ZPPc7hnz6FEw8YxycPnsB+37iSPu++XenQRHqMTiegxpgA8GfgBGAc8GljzLjOnleqT2Oj4brr6thll+2IxUbSq9dIzjhjIC+/rDUhIiLVRG2zyLaC9fUc8elT2PdbVzFwxnQi69cRXbOKEf9+mCPOO41xv/15pUMU6RGKMQI6EfjQWvuRtTYF3A2cWoTzShVZtsxjwoRhfO1r/fjggxCJhEd9vceDD9YwadIQvvvdvpUOUURENlPbLLKVA666lD7vzybU2LDF456fJZiIM+a2Gxh1z+0Vik6k5yhGAjocWNjs/qLcY1swxlxujJlujJm+cuWaIrytlIu1cOyxQ5g/P0hDg7fVc4bGRo/f/74XN9+svR1FRKqE2maRZnrNeZ8Bb7xGIJVs9ZhgPM64P/4afL+MkYn0PMVIQE0Lj9ltHrD2Omvtftba/QYN6l+Et5VymTIlwrx5QTKZlv5XO42NHtdc0xe7zf95ERGpALXNIs2Muu8uvHQ673GBeJwBb0wrQ0QiPVcxEtBFwMhm90cAS4pwXqkS119fR0ND68lnkzVrPGbM0HpQEZEqoLZZpJmaxQvwstmCjo2uXF7iaER6tmIkoNOAscaYHY0xYeBTwMNFOK9UicWLA1ibPwENBGD5cu3sIyJSBdQ2izST6tcfa/Jfy2AM6brepQ9IpAfrdLZgrc0AXwSeAGYD91pr3+nseaV6DB7s08LMrW34PgwYoHUTIiKVprZZZEsLTz6TbCyW/0DfZ9XEA0sfkEgPFizGSay1/wb+XYxzSfW56KJ6/v3vGPX1bfcc1tRY9tsvVaaoRESkLWqbRTZbtf+BxIcMo3b+PLxWigxlojHmfuYi/Ei0zNGJ9CyaLyl5HXtsgsGDs3he66OgNTU+3/3uOrwi/UX5PipoJCIiIsVhDC9efyepfgPIhratV5GJxVi13wHM/vI3KxCcSM+iBFTy8jx4+ukVDB7sE41u22tYW+vz6U838KUv1XfqfeJxw1/+Usfo0dtxzu5DOXv3oXzjjIG8+HhUFdFFRESkUxpHjOTpR55hzkWfI9WrN9lwGD8YZOMOO/Lm937KS3+/DRssyuRAEWmD/pVJQXbcMcM77yzhL3+p4w9/6M2qVR7GwIEHJvnOdzZw4olxClnb35q1az0OPXQIH38cpLEx1y9iYd67If783T4892CMb/95LQH9xYqIiEgHpfoP4N2vfYd3v/xNwhvW44dCZOp6VToskR5FI6BSsP79fb73vQ2sWLGIRGIB6fQCXnxxOSed1LnkE+DMMwfy4YehzclnM8m4x6xXw9z2GzUQIiIiUgSBAKl+/ZV8ilSAElDpkHCYoq33nD07yCuvREilWs9iUwmPJ++uIdHYyUxXRESk2iQS8O9n4fYH4OmpkMlUOiIRkZLRhEapuLvuqiWdzp9Yeh7MeCHCQcclyhBVxzVsNDz3YIwXHokRbzQM2yHLiZMbGH9AqtMjxSIi0o1kMvD938CfbnGNnG/BMxAMwtVfhK9eghoOEelulIBKxS1bFiCTyd/AJuOGV56MstehSWK11Vki980Xw/zqS/2w1k0dBlj0YZC3Xw4zYqcM379hDXV9qjN2EREpI9+H0y6HZ1+CxhY6Vn/wG/hoPvzpJ+WPTUSkhDQFVypu+PAsoVD+pMz3Da8+FeWSQwfz7IMFbCZdZh+9G+QXV/Yj0ejlkk/L4Yc/zy9+8W1++fMvc+xhN/LbLwdU0VdERODuR+C5l1tOPgEa4nDTfTB1WnnjEhEpMY2ASsWde24DP/1pn4KOTacMYPjb93tz31/qWL0sAMAOO6c57dIGJh6TIBAoYbBtuPP/epFOupHc8ePf5qGHTmXQoJXU1tbjeVBfX0Mg8DVefvcq1tV9GdC0KhGRHusXf3FJZlviCfjV3+DQ/csTk4hIGWgEVCoqm4Wvfa1fu0cFM2mPZQuCpFOGdMrw4awwf/5uLb+6PEkfbwqQLUm8rdm41jDrlQjWGsaO/YCpUw9l1Kh59OpVv6lYU11dI7FYggPH/YlxA39e1vhERKSKpFLwzpz8x1kLU14qfTwiImWkBFQq6rbbapkyJYrvd340MN4Y5p03BnPzj7OcuNOejOz9zyJEWJjVKwIEw24a8e9+91Xq6ja2WiW4JtbI2H7XEwsuKVt8IiJSRTLZwosLZePArJKGIyJSTkpApaJ++cveNDQU788wHq/hvvtOZ/2aAHsP+TY79b2+aOduSyRq8TMwZMgyPvGJ/xII5F/TumPfW8oQmYiIVJ1YFAb0LezYnQGuLWEwXcfGtYan74vxwPW1PH1fjI3rtJRFpCvSGtBubRZwMzAH19cwHBgL7AgcC0QrFhlAfb3hww9DRT+vMT7//OfZXHnlXxg/6Gcs2ngqyezgor9Pc0O3z1Lbx7L77u+QSESJRpNtHh/wkgyIvV7SmEREpEoZA1+5GH78W0i0sWSkDvgmwBvAUmBYWcKrNukU/P2HfZj6aAwvYEmnDKGw5YYf9+HwUxq57AcbCIUrHaWIFEojoN1SArgQOBu4H3gTmAE8CvwO+B9gH+DPQOW2BMlkaHWaamfiisdrWLFi8KazjC7DSKMxcNql9QTb0aUzMPYyn9xpAuMG/pxoYFnpghMRkerzhckwOND6UEAEN/p5BkAYmFeuyKpKNgM/vaw/Lz4WI50yJOMeftb9N50yvPBojGs/159seUs/iEgnKAHtlj4PvAzEgZaq+ySBRuBPwE/LGNeWeve21NZuG1+vXuvZfvsFtBx7ftFonAEDVgMQ9JIMrp3SmTALdvx5jaQjuxOJtD362cQYSzS4irH9ruOYHQ+jf+y1EkcoIiJVo09veGVPGA/UsvmKLAjEgMOAZ4EQuO7UnjnE99J/osx5K0Qq2fJ021TC44OZIV59qrKzukSkcEpAu523gVdxSWY+ceAO4IOSRtQaz4Mrr9xIJLJlovnQQ6dx331n0KtXPcZ0JAk1nHXWfc3ulWfjzUAArviFZcZ7p5BOFz4UGvCShAINHDL8s0QDy0sYoYiIVJVhJ8KMGDwDXAmcC3wFmA48BfRuOrAxd8AhuDm575c91Ep54Pq63N7arUvGPR64vrZMEYlIZykB7XZuprDks0ka+EdpQinAV76ykf79/U1Fe/bY4y0mTnyN/fd/g1deOZBDD51KNBqnd+/19O69Hs/L4Hmtz7OJRuOcdNKjbLfdUgCyfog18X3L8lnAJaFre11Nhv5k/fYtsfZMih373lyawEREpAqdCViYCPwBuBv4NTBu6+N8YDmwGPgXcGruwMotoykHa2HhnMLa0vnvF7+mhIiUhooQdTsf0r6pq1nglRLFkt+AAT6vvLKM448fzIIFQS6++B+bprCOGzebKVOO4KOPdmTGjL0BGD/+bS655B/MnLkXDQ11W5yrtraecePe5eabL2z2qMcbcy/l6cdqaFhv6N3fJxyxvPh4jI1rPQYMzXLMuY3scWCqjfWo7ZPMDuLZ+U+w77CrGBh7DWs9Al48b8X9gJdix753MXv1t4oTiIiIVLlewP/hhj0TBb4mm7v9AxgMXFCKwKpG906xRXomJaDdTqwE5/wAN7XXAHsBo4t69u23z/LOO0uZOjVCbe1HBINbjnCOHj2P0aM3F1949tmjuPX2i/nZL37KvDkDAMvOO8/hm9/8FZ/97O2Ew2kA0tkY9z9yIZPPnYjxLOmkwW5qyXLZ4JuWGS9EGDgsyw9vWkO/wcWZrpvIDuHFRfcQCy5iSM0z7D30OxTSjIa89UV5fxER6SqOxyWTPwY+xi36zOKm3bYljiss+Bm66+WcMTBidIaFBVTMH7lTpgwRiUgxdM9vrB7tRFzV23iBxweA1qaozsKtNfmIzbO1fWBX3NSfsR0PcyvGwGGHJXG9wYa2krVQKMP559/JLpOOpD41nIOGX0xteCkBE8cYS8aPAT7X3/glvnrVtaRThk0J57bvTKLRsORjw9WfGcDvHllJpIh1DOKZEXy8YTJ7Df0+hnTe49N+Xd5jRESkuzkY+A9u27SPcz8/DHnbjTTwEnB4KYOrqNMubeC6H/Vucx1oNOZz2mX1ZYxKRDpDa0C7ndNpPdlqSQi4pIXHZwLnAO/ipgU15m4JXIJ7GqUpgnA6hY7iroofRGNmLP+dP4WpC+/igzVf4MM1FzNr5ff56s/f52tf/jmpZGF9LH7WsG6Vx9THSjGCbFi88ZP4tu1/blk/zIL1Z5fg/UVEpGsYCxyDa8fzd1q6ztruvY3XoSfG2WHnDKFIyzOUQhGfUbtmOOi4Qqcwi0ilKQHtduqAvwCFDOPFcAnf1tUOLK7aXmvTfyzQAFzVwRjbsh8wHN8PtHpExo/x4dpL8G0k94hhTWJ/3ll1NW+t/Clz117IPX8ZTjLRvj/vZNzj4X+UporeB2uubBZvyyxB5q67uCTvLyIiXUk/CutMNrg9XLqvYAh+ePNq9j8qSShsNyWi4YhPKGyZ+IkkP7hpNUHVIBLpMjQFt1s6ErgL+DluJLOpYEETN0UVLgT+p4XXvwKsLeB9FuCm6Y7vcKTbMsAtJLNnEGYtAW/Lir4Zv4YVDYfw3uqvt3qGVAJWL289gW3LqqUde10+65PjeWPZr9hn6DfxTBKv2fYyvg3g2wivLr6eeGZESd5fRES6khOA28m/nCaD2zC0e4vE4Ov/t441yz1efiLKhrUeffr7HHRcomi1G0SkfJSAdlt7A/cCS4GFwApgPm4K7Qjgk7j1li15jcLWkGZzxxYzAQXYjqc/fobRfW9iTL8bCQU2YPDZkNyZ99d8kUUbT6OtwftQYA2Gwbj1re1Tyh7URRvPZENqN3bu92eG93oMz6TJ2ggLNpzJnDVX0JAubnEnERHpqvYGRgJz2bIDubkIcArNNgvt9voP8Tnx/HzFmUSk2ikB7faG5W7tkaGwwueW9m35Uri035f313yV99d8hYCJYwnkncIKEA6s5qhdjmPYdi+zaOH27XpPz7Psc3hp15BsSI5j+rI/M33ZnzCksYRL+n4iItIVGVxl3NOA9Wy7HjSKWy/64/KGJSJSBFoDKi3YjcLWlISBnUsciyFrawpKPgH2HPw9oqEV/M83/peamoZ2vVMwbDn5ova9puOMkk8REWnDCFw13AtwbXIMl3gOAr4G/JPSbL0mIlJaSkClBZMo7E+jBji0xLEULuStZbu6/xAwGS677HrGjPmQSKSwEc1w1OfsL9Qzepz2ERMRkWoxEPgeMAN4GngeeBW4nMKKDUo1cdu+BVi11Gu2L7lIz6MpuNKCMG5az3dwa0ZbEsUVOSpWH8YKNm/AvVsuhvbpH3sD34YJkCQWS/DCC4cxefKtPPHEcRgDiUSEcDhNKhUmEMwSjnr4Weg/2OczX93IQcerhLuISPdWD8zGrascg0vwuoIwMLzSQUgHLZ0f4N4/1fHykzECAYufNfTq53PapfUc9+lGAqWpfyhStZSASitOxzXQP8jdb1r0X4tbm/Jr3EhpZ80GrgWm4RpYt650wqDzeGfVt8jawsvLe2S2WLnau/dGHnrodBYuHMEDD5zOunV9GTJkOWeeeR8zPjiblz+8lr4DfYaPzmDas3WqiIh0MWtwnaaP4Do6AVK4WTzfA3asUFzS3c2dFeSaCwaQiBusb0jnttdZvSzA7b/pxevPRfju39YS0BW59CD6c5c2nAWciGuwX8clngfgKugWtiazba8Dk9mc3G7ecmXHvrcyuHYKz81/lIytK+hsG1Jj8cy2G3ePHLmIq67646b7WT/MiJ1rGD8g1YnYRUSka1gFnASsxhXzaT7b5RnclNb7gF3LH5p0a+kU/OTS/sQbWp4tlox7vDs9zL/+Xss5V5arBoVI5WkNqOQRA84Bfgn8AjcyWozkMw1cwubkc0sBL0Vt6GP2GPzDgs/YkB7NhmQhFxCGeesmF3xeERHpyv4Hl4Ru20HpZt3UA5dSWPV3kcK9+lSUdLrtKVaphMejt9SRaenPU6SbUgIqFfIELV8MbBbwUozsfT9BU1/wWd9ccS0Zv/WqgBk/xty1F5LIDi34nCIi0lUtA17EbS/WljXAK6UPR3qUKY/ESLQy+tmcn4W5s0q4EblIlVECKhXyOJB/uom1IQbEphV81rWJvXlp0W2ksn1IZzevH834EbJ+hI/WXsisVd/vSMAiItLlvEhhq43iwH9LHIv0NI0bCyswYTxIxFWMQnoOrQGVCokXfKTnta867ar4wTz24Zts1+txhtU+jWcSrE+O5+P155HMDmpvoEWVaDTMnBph4zpD7/4+ex2aJKJK+iIiJZKksKm1ltaWhIh01NAdsrw/w+L7bSeXmTQMHJotU1QilacEVCpkF+AF8k3DNSZDQ6r91QktYRZvPJXFG0/tWHhFls3A7b/pxRN31+B5brqNFwBr4cTJDZx7Vb3KsIuItKkpSYwChX5hjqKwyV5RYGzHwhJpxfGfbuSlx6Mk84xuDt0+y/DRSkCl59AUXKmQ8yjkz68xPZINqa5dmdD34ZdX9uM/d9WQjHvEGzySCfffRKPHo7fW8n/f6KtNqUVEWrQQ+D4wDtgT2Bk4H1e9Np8DgZoCjrPAGR0NUKRFY/ZIs9P4NKFw6w18OOoz+RsbyxiVSOUpAZUKGYkri99WwaAob674cdkiKpWXn4gy67UwqUTrZdhffy7CG1PaV134o3eD/P5/+nDhQUOYvP8QvnHGQKY8EiWt3WVEpNt4HTgOuAu3dCOD26N6CnAh8Oc8r/dw+1m33ta45y4B+nQyVpFtfeeva9lxtzTRGp/m08FDYUs4Yrn0exvY5/Bk6ycQ6YY0BVcq6Be4i4mmirhN009iZHzL9KW/Z2Xj4RWLrlgevL6OZLztvp5k3OPBG2rZ94jCGqF//qWW+6/rRSbFprUl8971+Ps1fbj/73X85LbV9Oq3ZY9r0NtI2FtHyu9Dxu/dsQ8jIlI264ELaH1tZhz4E7A7cGQb5zkZ2Aj8CLefdVNdgRAuQT0Pt1WLSPHV1FmuvWs1b74Y5tFbalk8L0goBBOPiXPCeY0MHOZXOkSRslMCKhUUAn4PzAFuBt7NPXYsj8/9DGm/6/dGWwvz3ivsn9mHb4ULOm7KI1EeuL6OVGLbNSWJRo8lHxt+enl/fnHvaoyBAbFX2G3AbxlQ8yrWhvBMmtXx/Zi96musih/Srs8jIlI+97K5Y7I1ceAPtJ2AgksyjwfuBp4DfGBv3FTekR2IbSPwEq6a+zDgADSpTFrjebD3YSn2PkxTlERACahUhbHAtVs8kvYLS8aqnbUUvLe5X0AnqLVw5+96tTmims0Y5r4T4p4/1vGNb/+NfYZfQ8DEMQYwrujToJqX6TfifGatvJqP1l1cWIAiImV1D4VVTH8bWAf0zXNcf+ALuVtHJXAjqQ/gLqGavuBjwDeBczpxbhGRnkEJaLdjgZeBB3EN8vbAp4AxlQupVQ3ANFyDPgI3jap77YPleTBoeJYVi/L/Uxs2Kt9G6TBvdpCN6/L3slvfMOeljxg/4BqCXssXcEEvzvhB17Imvi/rknvmPaeISHkVWpgllDu2b+lCAdyWLucC7+V+bq4BuAZYAXyxxHGIiHRtmi/SrXyMm4Z0KW7q0pO4qa0n4dbRNFQorq01AlcD++Ia6m8AZwNH0R03Aj/14gYi0baHNyMxn9Muzf//Z+3KAF6B/2q/+tX/JRxue7qPZ5Ls3P8vhZ1QRKSsBhR4XJrSJ58ANwHvs23y2aRpTeq8MsQiItJ1KQHtNlYAp+PK1Tcv2JDBjTC+gktCK73PVBw4E7gPF1d97hbHJdBX5p7rPo46vZFBw7MEQy3PxQ2FLdvtmOWQE/JPNavt5Re8Xcvppz9IMNj2/2/P+Ayre7KwE4qIlNX5FLaFysFArxLH4gM3sLmAUWsywD9aeDwLPA/ciptavLio0YmIdCVKQLuNv+ESudZG2pK4Ij9TyhZRy/4IfETrPcgJ4GoigVXlC6nEIjH46R2r2WXvFOGIxQu4DDIQtIQilt0nJvnxrasJFbDsdeyENMFQYe8bixWydsqNgha8UFVEpGxOxa2tbGtpRhS4qgyxLMW1sflkcIlmc/cD++PWnv4Mt4b0aOCzuM5jEZGeRWtAu4U0rkc1nee4RuA63FTXSkgDt9F68rnZqD638f6ar5Y8onLp1dfy41vXsPDDIC88GmXdKo/+g30OPyXOdqMKH5UOBOHUS+r551/yb+2yatUAhg7Nf3Hjqg13r7W3ItIdxHBt2zm4WTLNO9WCudvPccs5Si1D4X32zb/Tb8HF2NLI6Su4LWL+TeHTjUVEur5OjYAaY842xrxjjPGNMfsVKyhprzUUPrV2TikDyeNDWh+hbS7JdnVPlDqYihg5JsN5X6nnCz/dwKeuqm9X8tnk1Esa2PeIJJFY27/Lv/3t88TjkTaPyfph5q37bLtjEJHq1b3a5jHAs8DXcdulxIB+uOJ6j+OWnpTDEAqbKWKA3XI/r8KNeLY2bTcDrMbtiS0i0nN0dgruLOAMKj+vs4cLUlhi13RspaQp9E/OM/lGc3suz4Ov/W4dX/jpemp7+bR2UfTXv36BRCLW5rl8G2Hu2ktKEKWIVFA3a5v74IrrvQDMBmYAPwV2LGMMUVz9gnxtaAy4LPfzXQWcNwM8QuEVf0VEur5OZSPW2tkAxmj6XmX1BwYDi/IcFwAOL304rdoeKGQT5gDrkruXOpguzRg49MQE243KcPVnBpBKbPtvcMWKIRx11LM888wnqOuVIBzaXJwqk43hE2LqwntIZIcW/L7LFgR47eko8QbDgKFZRu+e5tkHanjrpTDWujWqJ13QwI675d9SpqOyGXj16SgP3VjL4o+CGA922yfFqZc0MG7/FPo6kp5ObXOpfAl4DFhPy52+Udxaz4m5+1MoZMmJ20bmfaCLD1aLiBRIa0C7BQN8HriWtjftDuF6kSulL3AE8BRtT2UKM3dtJePsOkbvnuHTX97IXb/vRSqx7ejyex9M4Kofv83Xv3MLo/vcSji4hlS2L/PWTWbBhrPJ+L0Lep/1azx++9W+vD8zjPUhk3brUbMZ3J+fdRe6Sz8O8tJ/ohx0XIIrf7aeQKCIHxaINxh+dHF/Fs4Jkmjc/HnfmBJh1mthDj85zud+tEFJqIiUwBDcHtvnAytx7a3Fta0ecAzwv2xeU1/ozCTTjmNFRLq+vAmoMeZpoKUhkquttQ8V+kbGmMuBywG23354wQFKoT6F65mdQcvrTWLAFcDO5QyqBd8CXqT1PUmjwBGsS04oX0hd3CkXNTJ8xyx3/6EXC+cGCYYs2bRhyMgM536xnoOON8xbdyHz1l3YofM3bDR8+5wBrF4WIJvZnNllmwY5m/Ul+L4hlTC8/ESU2l4+l3yvuNPKfvvVvnw8O0g6tWWyba0hGTdMeSTG4BFZzri8Wva8FSkNtc2VsgPwHPAabursemAUrlDSyK2O3Qd4i/wFApO4ta4iIj1D3gTUWjupGG9krb0OV4KV/faboD0fii6Iq7b3a+AO3HRbm7vVAt/ANZCVthNwN3ARrve4KVFo3oP8m8qE1oXte2SSfY9MsnqZx/rVHnV9LYOHF2fP14f+UcvaFd4WyWc+qYTHU/+s5ewr6+ndrzj/3Jd8HODtVyOkU63HkYx7PHBdHSdf2FDQtjYiXZXa5koywAG5W1vOx+372RYPOBK3lEZEpGfQFNxuJQxcjasW+Apuz7KhuF7YatrydQ9cfM8Aj+K2h9kJOA/XuywdNWCoz4ChxZvKlc3Af+6o3WbEsRAGy5RHYpx0fmP+gwvw/EMx/AJyamvhrZcj7HtEIWuvRERKZSRwAW77sZaWxxhcB/HV5QxKRKTiOpWAGmNOB/4IDAIeM8bMtNYeV5TIpBOiuB7VahYEjs3dpFqtXemRKaRuVAtSSY+l84vXx7VqaaCgUVjfh/WrqqnDRaS81DZXk+/g2uS/4zqC47jEM4YrHngDsAG4HzdzaSIwrCKRioiUS2er4D4APFCkWESkCnV0Tp7xLDV1xRuN7TPAx3gW67edhHoe1PZWQQ/pudQ2VxMDfA1XAPBh3H7YNcDRuLWhlwNLc8eZ3GMHAL8EtqtAvCIipacpuCVngTVAFrfGoxp+5QuBN3Ax7QqMq2w4UrX6DfYJRyDV2j7qbQhHLAdMKt402MNOivOfO2pItrDlTHO+D3se0sFhWxGRkugNfLbZ/edw1etb+nJ9CTgJV1hQo6Ei0v1onlrJpICbgYOBg3D7b+4F/AKXkFbCAuBcYBLwXeB7uI21jwVer1BMUs0CAfjk5AZCkfaNKHqeZciILGP2yFf9sXA77pZh5NgMgWDrY7LhqM+ksxuJ1qiWiohUqyRuT9HWevayuOq63ylbRCIi5aQEtCQSwKdxU2iW4pLRBK4o0D+A44ElZY5pPnAyMA3X+DXgiv/EgQ9wPbMvlzkm6QpOubCBgUN9gqHCkrpAwFLXx+fbf11b9Fi+89e1DBiSJdxCQhyJ+ey6T5rz/6e4W7+IiBTXf8i/72cW1yYvK3040i001hseu62GL50wiAsOGMLnjx7E3X+sY+0KXepL9dFfZUn8BJhFy1XvUsBq3DYk5Ryl+TqwkdYbvThwJa7RE9ksVmf5xb2rmHBQklDEEo76eAFLtMYnELQEQz6RmE+s1icctRx9ZiO/eXAVQ0YU/2+p70Cf3zy0inOurKfPgCxewGI8y/DRaS77wQa+d/0agqGiv62ISBE9T+t7YTcXwi2XkZ7AWvjgzRC3/roXf7+mNw/dWMu6AgvqLZgT5AuTBnPHb3uxZF6Q+vUeK5cEefD6Wq48bhAzp2pfMqku1bAgsZupB/6FG2VsTRY3HfZN3LTcUvsYeJv8Pa5J3NYox5Q6IKkka+n39kz6vvs21nis2Xs/Nuy8a5svqetjufq6taxa6jHtmSjxBsOAoT4HTEoQCFqWLwpgfcPg4RkisdKGX1NnOf3yBk67rIFUArwA2vNTRLqQ9ixNyJQsCqkeyxcF+PkV/VixKEAqYbDWEIr43PX7Xhx5WiOX/WADgVau2Bs2GH4weQAb1zUVstqsaQu1X32xH7/612pG7KS/J6kOSkCLbiqF/VoTuIp4e5U0Gmcarrx7Pg24+JWAdlcDXn+Vfb77NWIrlrvuVgAs9TuOYfovfs+GXXZr8/UDh/mc8Jlt9/UcMXrL0c6P3wvy3/tqWLk0QJ/+WY44Nc5u+6Yx+XdRKZgxlDzZFREpvj2Bp2h9DWiTDLBL6cORilq7wuPbZw+gfr2H36zKezrpkscpD8dorPf42m/Xtfj6Zx6I5QoFtt7AptOG+6+r5apfri9i5CIdpwS06DaQf6QR3PTbdaUNZROfwqf7NvWOJYDHgbtwcQ4BPoMrYKQ/m65o4KsvcfDnJhNMbDs1vM/sWRxx3ik8f+fDeZPQtjRsMPziyn58+HaYTAp832CM5YVHYwzaLsv3b1jDwGHaIkVEerKzgF8XcNwolIB2f/f+pY6GjVsmn80lEx7Tn43w4duhFgv7/eeOWpKJtqfq+lnDS4/HuPLa9a2OpIqUk9aAFt0QCktAQ8DIEsfSZGfa6hnbrAbYA3gPV733e8BruCJFL+DWkR4JLCpJlFJC2SwTv/b5FpNPcH8dwYYG9vvmlzr8Fpk0/OCCAXzwZphUwmxqTK01JOMeSz4O8u1zB+amCYmI9FR9gauAtqZwxIBryxKNVE4yAc8/FCObabtdTCcNj9xU2+JzG9YUdilvLcQb1P5KdVACWhSLcaOFjwA3kn9aDbhf/VmlDKqZvYBBBRxncVvGnIPbKmbrIgkNuOq9Z+LWukpXMWTqcwTiLSefTQxQN38efd57p0Pv8cqTUZbND5BJtdzA+VlD/XrD47e33IiKiPQcX8BtxRJhy0S0Fpeg3gjsW/6wpKxWLQkUtDTF9w1z32m5wl6h2475PkRi2qJMqoMG4jtlPm6frtdxI5qp3C2fKHA05RsBNcDPgYtpPTmOAd8C7qTl6r1NfNw04weAyUWMUUpp4PRXCTUWUnXR0n/GdNbvunu73+Ohf9SSaGy7Tyud9Pj37bWcfWV9UdeDdtSyhQGeuS/G0gVB6vr4HHJCgt0npqoiNhHpzgwuCf0McD+ucn4IOAK31EXlvHsCL1D4AinTSvN6+CmNPHprXaudv45ljwOTKtgnVUMJaIfNA07FjQT6tF31dmu7Ar8tRVBtOBj4K27aj8/m0c2a3P1vARfgpuDmq9AXx/XOKgHtKky2wMp31mL8jq3RXPpxYV8njfWGRKMhVlu5nthUEn7/P315/fkofhayGbdWdcrDMfoO9Pne9WsYtoO2JBKRUuuD25ZNepJlCwOsXhYgEvMJBvNfQQaClj0PbvmoEz7TyOO315JpY6lVOGo583OFdEKLlIcS0A67CrevZnsvoj3gANwoaLkdhRutfQJ4EbcdzJ7AaUAdbnS07Wmamy0vQXxSKut2n0C6tpZQQ54GKBBg/a7jOvQeXiGFlgHrQzDk/t2sXu7x+rNRGhsMA4ZkmfiJRIcq265f4/HyE1E2rPao6+Nz4LEJ+g9pOZG2Fn5xRX9mvx4mnTTNHneJ8fJFhu+cO5DfPrSy1XOIiIi018ypYW7/TW8WfxQkGLb4WdcmBYK2zXWgxsCBx7V8fTZwmM/XfreO3361L6mUwW5RzMgSiVrO/dJGdp9YyAw9kfJQAtohc3K3jozg+MCK4obTLmHg5NxtayEK/0yax9GVLDnmBPa+5lt5j0v2G8DqfSZ26D32ODDJq09Ht2r8tjViTIZUwvCbr/Rh5tQoxnMNbyhs+ev3+3DKRQ2c88V6vAJWqKdT8Pdr+jD1sRjGs6QShnDEcuuve7PfUQm++PP126yPmfVqmPdnhkglW47T+obGerj/ujou/f6Ggj+/iIhIa/77rxg3/KQ3qVzF2uZtkDEWYyzWttQuWcDy08sGsPOeKS65egM77LLlrKb9jkrys3tW86+/1fHa01GMB34Wxu2X4szP17PHgUo+pbr0wAQ0CyzDJYJD6Fgi9QodSz7B7cc5uIOvLbUAsD/wagHHTSp9OFI0fjjCjGt+zj7f/wbBRMvrgDPRKG9c+xs6ugDy1EsamDElQjLR+usjMZ8TJzfwnU8NYMWiIOnU5o2zm3p/H76plnWrPD7/47aTv2wWrv1cf95/I7zFeZoa9enPRfjB+f259s7VW6x7efimWhKNbX/GbMbwzP0xLvjWhqKvmclmYPqzEV5+Ikqi0WPEmDTHnBNnyAhN+RUR6Y5WLA5ww0/6kGqlfbTW4AUsnrGEwrZZG+Xatkza3X/ntTDf/fQAfnjzGsZO2HK51KhdMnz9d+tIp6Bxo0e0xi/5XtmN9YaX/hNlxeIAsRrLfkclGTmmwCU/0qP1oAQ0DtwA3JT7uekf97nAlcDAdpwrTccT0BCuimy1+gLwFm1PxQ0Bl5YnHCmaRSefAday94++A9ZuKkqUrq3FD4WZ9r9/ZuWBh+Y9T8MGw9P/rOGx21yiGAxZ9jk8yWmXNnDspxp58p4akvFthy8jMZ8JB6VYs9JjxeKm5HNbybjHlIdjTDo73uKeZ02m/TfKnDdbH8lMJz0WzQ3y3IMxjjln89/zgg9CFLYtEaxdEWBwERPDD98Oce3l/UglzaaCTTNeiPDoLXUccnycK366nqBqj4iIdCuP316Dn6cp8bOGIdtniNX6zH8/1MpsIrdU5Bdf6Md1z68g0MLSl1AY+gwo7fIR34e7f1/HI7fUYTxLstEjELTc+6dejNo1zTf+sJYBWsIibeghCWgDLun7mG2rwN6O2z7lIWB4gecby+aqt+0Rwq253LmdryunI3BV+e6g5SQ0BnwD2K2cQUmRLDrlTJYcfxLbPfEY/d6eifU8Vu9/IMuOmIQN5v86WLYwwNWfGkBjg9k0jSibMbzyVJTXn49w1hX1TP7GRu79c51bX2nY1Fdz4vkNnHVFPZcdMXiLtZctSacMj9xcy1d/s67VYx68IX/V3WTc48Eb6rZIQL1AYZ1H1jcEgsUrlLRobpBrLui/TcxNPdsvPRElnTZ87bfrivaeIiJSea88Fd30Xd+W1UsDQCDvUpZEo2Hm1Aj7HtGeApjFc8NPevPcg7HciO7mWUzZDMydFeJbZw3kNw+tok9/JaHSsh6SgH4XV7W2pX+oaWAtcAnwnwLPdwguEWtPRbEYMAK4rh2vqZTv4arh/g43Xbkp2R6DSz6Pqlxo0ml+OMKik89wI6LtkEnDDyYPYP1ab5vG0fqGVMLwr7/W8ZXfrOOGF1bw3hth1q/2qO3lM27/FKEwrFnukYznb4R93zD79bbnvs7/oLChwuULA2SzbOop3uvQJP+9L5B34++a3j79Bhev8bz1173a/OyphMe0ZyLMfz+4zfoeERHpuvJ1um5iIBCweZPVRKPH689VJgFd8EGQZx+oaXU6cTZr2LDW459/Vh0FaV0BZT66urXA47Rd5DqL29PzzRaea2kExAOupe1Kth6uV8gDRgE/wI209skbcXU4FXgWVzH3duAZ4DGUfPZc056J0rhx6wp7W0omPO7+fS8CAdh9/xQHH59gz0NSm9ZRun9NhTXEtkS7tJx0fkOL05aaC0d9TrmwoaBCSIVYv8bjrZcirRSY2CyTNjx2a01x3lRERKrC0O0L61S07ejzbC0BLLVHb60hk2e3vqY6CsnWtp6XHq8HJKBTKGxD5ySbR0A/YPM00x2B8cA1wMJmxx8H/Bo3stn8gjEGRHAJ5zzgI+A54NNUZuuVjvoI+A3wB1ziua6i0UjlPXl3DfGG/F8ZS+cHWbGo5Qyv7wCfUDh/ZmmMZeyEtqe4j9o13361zrBR2S0SzuGjs5x5xUbC0ZZb+nDEZ4ddMnxycvH2TFu+IFDQ5/azhnnvaRGoiEh3cvKFDURr2s4uvYBlr0OSBdUBDEd9dtilsDaw2N57I4yfzR+k58GKRT1koqW0Ww9IQOtxI5z5+MB63CjlKcADbF4DWQ/ciUs6X2r2mpNx+2pek3vNScC3gGnAhZ0PvSLqcbGfAPwN+BeueNOZuP1CV1UqMKmwtasK+7oIhizr17R8bCAIx5/XQCjcdkMcjlpOuajtBPC0S+uJxNo+TyTmc9ql9ds8ftbnG7j0+xvoOzBLrNZ3tzqfSNTnqDPi/PjW1UWtfhsM2YJHdFWESESke9nvqCRDRmY37YHdkkjUcvHVG+jVN/8wqPUNR55a6L7txVVoofwSTWKSbqIHdE1sR2EfM4Ibofwm2xYqArdWNI2r/vpfYFju8RpcJd1zOx1p5aVxBYhms2WBJR/3O5kFnI6b0lxX9uiksvr097eYA9CaTMbQq1/rDeipFzcw5ZEYa5abFtdhhqM++x2VZJe92+7d3f/oJOP2S/HOtPCmgkhbnCfis/3OGQ4/ueVG+hNnxjnq9DizXw+zZplHtNYy/oAUsdriN5sjxxY2/Soc9dn/aM1ZEhHpTgJB+NEtq/nJpf1Z/FGQZNxsWpIRrfEJhuAHN65m6PZZLvvBBv73K31bbNcgt53Z+Q306leZFG/c/imWzg/mraOALXzqsfQ8PWAE9FAK+5gWN8U234LuDHBbZ4OqgKW4Kcb/gVbTiP8Ac2i9um8GWIkbDZae5phzGvNOIQIYtF2GoSNbn3VQ29vyy3+uZpe9U4QidlOl2XDMJxSxTDqrkS//el3eXlbPg2/9eS1HnBInFLFEYj6eZ4lE3TTfiZOS/OjmtkcyPc+tVT3s5AT7H50sSfIJriz+Mec05h35xRomnd1YkhhERKRyevV1bd93/76Wg45LsNP4FBMOSvK5H63nhheWs9N4l6zte2SSK69dTzjqbzHLJxR2e4Qef14j531l25k95VJIHYVgyDLp7Mai76Mt3UcPGAENAV8FfkXre1tGcdNnH8KN9rUlBfwTN1LaFcwHrsZNC26a25cGJuAKKTXfEuY6IN/FbwI3Jffy4oYpVe+AYxLc9PPeJOO21WI6kZjPp67K3zD26e/zk9vWsGRegNf+G6Vho2HgMJ+Dj4/Tq2/hSWAoDJ//8QY+87WNvPp0lPWrPHr1tRxwTKLk+6C117lfqmfG1AjL5kM61cKIbdTn8z9aT+8K9WqLiEhpGeM6PXffv+0aB4eemGCfI5I892CMGVMiZDOGMXumOO7cRgYMrWzbNnx0lhM+28B/7mx5z+9A0NJ3UJazv1C5JFmqXw9IQMGtaVwJ3IgbxWsanTG45PNwXNGgBwo838Yix1cq83DVbOtxiXXz0d3puOm09wK75x6bW+B5V+ES0a5UVEk6KxSGH926mu+dN5BE3JJObm54jLGEo5aTLmjg4OMLn0K63Y5ZTru088V+evW1TDqrMuthChWtsfz87tXc9PNevPBoDcGgxQJ+FvoP9rnouxsqtqebiIhUl5o6yyc/28gnP1t9s2Imf2Mjvfr63PfXOjBum5lA0HVO77Zviq/87zrq+qgzVVrXQxJQgxuxPB2XhL6IS8jG40by9skd51FYwaLeJYixFL6ES5Zb+hKwuH1MrwCeZ/OWMYWwQJ75F9ItjRid5ff/Xsl/7qzhP3fUsGGtRyAIEw5KcvrlDXl7dXu6WK3lCz/dwEXf3si7r4dJJw1DRmYYtWum4MIOIiIilWQMnH5ZAyee38C0Z6KsXBwgErPse0SSwSMKuY6Wnq6HJKBNxgK/aOP5TwKP0nYSGgHOLmZQJfIB8CH565Ctwo2G7g/sh0tG871mLIVtbSPdUZ/+Pud+sZ5zv1iP71O0vTJ7klid1WiniIh0aeEIHHKCCudJ++nScQtXkD+xCgLnlyGWznqZwopgx9m8tczl5J9WW4P7PYko+RQRERGR9ulhI6D57Ar8DvgarlBP8/LRodztH8CQ8ofWbmnyF1QCl6Q2TZs8CLef6cO0XLApCuybO0akuJIJePGxGNOejZBJGXbcPV0VBRdEREREpHiUgG7jBGAXXKXXh3FVYXsD5+CKGW1XscjaZwwQxiWiballcyVcg5uiPBL4W+4xn81rY88Dvo3Wf0qxvf58hN9+tS8AiUY3rPr2KxEevrGOY85t4KLvbNRoq4iIiEg3oAS0RaOBn+VuXdVhuBHLQiqMHtfsZwN8ETcddypujWif3PlqihyjCLw7PcT/fnnbTbfTKVeV57/31WAMXPzdrlJ9WkS6jxRuj+xbgeW4DulP4Yoa1lUwLhGRrktjCt1WAPgJba/pjOH2CG3pmDBwNG7k9ziUfEqp3PiTPtskn80l4x5P3l3LmuX6uhKRcloIHAF8B1esbyHwDvBz3JKVGZULTUSkC9MVXbf2SdwobowtE8gYrprvt3DTakUqY+GHQZbML2xK99P/VCeIiJRLA3AWbtRz65lEjbgtzj6LS0pFRKQ9NAW36Gbh9hp9PXf/AOASXIGjSjgDN4L5IG7/UwtMBM6k6+xnKt3V4o+CBAr4FkqnDB/N1tY/IlIuDwIbaLuYXxL4O/DTcgQkItJtKAEtGh/4LvAQbs1I016ii4FHgHOBH+LWWJZbLfCZ3E2kegRDtuB/EaFwIdsKiYgUwz9ouRp8cxngX8CP0YQyEZHC6RuzaH6FSz7jbE4+yf2cAO4F/liBuESq1y57p0in86egsVqfiZ/QZtciUi7LCzwug5uOKyIihVICWhQbgJtou7c0Dvw1zzEiPUuvvpYDJiUIhtoe3TQeHHisElARKZdIgcf5tF3sT0REtqYEtCgep7C9MT3gyRLHItK1XPr99fQblG01CY1Efb75x7WEwmUOTER6sE9S2CqlfSg8WRUREVACWiSLcVXx8kkAS0oci0jX0quv5df/WsXBx8cJhS01dT41dT7hiGXMhBQ/vHkNexyYqnSYItKjXEz+BDQGXFmGWEREuhcVISqKOiAEpPMcF8QVBBKR5nr1s3z51+u59Psb+ODNEJm0YfjoDNuNyuZ/sYhI0e2Iq277PVzn8dZiwAXAkWWMSUSke1ACWhSfAH5T4LFHlzIQkS6ttrdl78M02iki1eAsYCTwW2AGrqM5A4wCvgKcUKnARES6NCWgRbETMAHXQGVaOSaE2xN0RLmCEhERkU45ALgHWA2sAXoBQysakYhIV6c1oEXzF2AQLtHcWhjXYP2+rBGJiIhIMQwAxqLkU0Sk85SAFs0gXDXcC3FrQmtyt17ApcBjQL9KBSciIiIiIlJxmoJbVH2Bq4H/AZbmHtuOlkdFRUREREREehYloCURBnaodBAiIiIiIiJVpVNTcI0xvzbGvGeMecsY84Axpm+R4pJNLLACWEjLpeBFREQ2U9ssIiLVrLNrQJ8CxltrJwAfAN/pfEjiZIE7gMNyt+OAvXDTexdWLiwREal2aptFRKRqdSoBtdY+aa1t2nfkFbTHSJFkgMtwm2AvApJAI24E9H7c3mPvVCw6ERGpXmqbRUSkmhWzCu7FuDKw0ml/BV4C4i08lwXqgclAupxBiYhI16O2WUREqkreIkTGmKdpeeOrq621D+WOuRo3bHdHG+e5HLgcYPvth3co2J4hA9xA/vWeSeBJ4MSSRyQiItVFbbOIiHRVeRNQa+2ktp43xlwAnAR8wlpr2zjPdcB1APvtN6HV4+Qt3PVCPg3AAygBFRHpedQ2i4hIV9WpbViMMccD3wKOsNY2Fieknq6BwmdGry9lICIi0gWpbRYRkWrW2X1A/wREgKeMMQCvWGs/3+moerRhFLa20wO2L3EsIiLSBaltFhEpAWvhvTdCPHpLLQvnBAmG4cBjEhz7qUb6DvQrHV6X0akE1Fo7pliBSJMxuIKFH+Y5LoIrRCQiIrKZ2mYRkeJLxuHnX+jPBzNDpBIGaw0ASz4O8MD1dXz+x+s44tR8NVwEilsFV4rmu0C0jefDwHhgz/KEIyIiIiLSg/3vl/vx3hshknFvU/IJkE56pJKGv13Th5lTwxWMsOtQAlqVjga+j0tCQ1s9VwvsCtwIGEREREREpHQ+fj/IrNfCpJOtp06phMctv+pdxqi6rm6egM4ArsCNFI4HTgYeoWvsn/kZ4CngAtxaz6HAwcAfcdVv9QcuIiIiIlJqT9xVQyaVf+Bn2YIAi+Z2tsRO99dNf0MWuBa39VkSaFoU/DauMODfgLuo/iRuJPC93E1ERERERMptybwgvp8/AQ0GYeWSACN2KmRLxZ6rm46A3opLPuNsTj6bNAJzABUEFBERERGRtsVqC9sm2QLhqLZUzqcbJqBZ4Pe45LM1KeAN4L2yRCQiIiIiIl3ToSfGidYWsM2KhZ33TJU+oC6uGyag03DTbvNJA/eWOBYREREREenKDjgmQTDPwsVw1Oe4TzcSUiHcvLphArqSwqrDZoElJY5FRERERES6slAYvnf9GqI1PsbbdoptOOozelyaT121sQLRdT3dMAEttLCQAfqXMhAREREREekGxk5I88v7VnHApAShsCVW6xOJ+fTul+WsK+r54c1rNPpZoG5YBfdA3BLgfGLAGSWORUREREREuoMRo7P8zx/W0bDBsHJpgFDIMnSHLIFApSPrWrphAhoBLgT+QeuFiALAcGDfMsUkItI+6RS89VKEtSs9antb9jo0WXAVPhERESmd2t6W2t7aaqWjumECCvBVYDbwCm7bleYiQF/gFgpbKyoiUj7WwgPX13L/dXVgwffB88DPwtFnxbngmxs0xUdERES6rG6agAaBG4CHgL8Ac3HLXeuAi4ALcEmoiEj1sBb+fk1vpjwSIxnfdon+f++LsXBOkB/cuIZAN/32FhERke6tG1/CeMDpuVsCyAC1aNRTRKrVe2+EWk0+AVIJjzlvhXjuoRifOLOtvY5FREREqlM3rILbkihu9FPJp4hUrwdvrCOVaPt7Khn3eOC6ujJFJCIiIlJcPSQBFRGpfrNfD2Nt/o6y5YsCJBNlCEhERESkyJSAiohUCesXdpwx4Gc0o0NERES6HiWgIiJVYsROhZV0r+3tE9WWLCIiItIFKQEVEakSp11ST7Sm7WHQcMTnpAsaMBoAFRERkS5ICaiISJXY7+gko3ZNE4q0nIQGgpY+A32OP2/r/Y1FREREugYloCIiVSIQgO/fsJa9Dk0SilgCQTfN1vMs4ajP6HFpfnHPamp7afqtiIiIdE3deB9QEZGuJ1pj+faf17FsYYDnH4yxaqlH7/6WQ0+Ms+Nuha0RFREREalWSkBFRKrQ0JFZzv1SfaXDEBERESkqTcEVERERERGRslACKiIiIiIiImWhBFRERERERETKQgmoiIiIiIiIlIUSUBERERERESkLJaAiIiIiIiJSFkpARUREREREpCyUgIqIiIiIiEhZKAEVERERERGRslACKiIiIiIiImWhBFRERERERETKQgmoiIiIiIiIlIUSUBERERERESkLJaAiIiIiIiJSFkpARUREREREpCyUgIqIiIiIiEhZKAEVERERERGRslACKiIiIiIiImWhBFRERERERETKQgmoiIiIiIiIlIUSUBERERERESkLJaAiIiIiIiJSFsFKByAiIt3DnLdCPPyPWma/HsZaGD0uzSkXNzD+gBTGVDo6ERERqQadSkCNMT8BTgV8YAVwobV2STECExGRrsFauO5HvXn+wRiplMH6Ltuc8YLHO9PCTDgoxTd+v5ZgqMKB9hBqm0VEpJp1dgrur621E6y1ewGPAj/ofEgiItKV3PeXWp5/KEYy4W1KPgGsNSTjHm++FOa6H/WuYIQ9jtpmERGpWp1KQK21G5rdrQVs58IREZGuJJmAB2+sIxlvvTlJJTymPFzD+tUqO1AOaptFRKSadfpqwBhzrTFmIfAZ2uhlNcZcboyZboyZvnLlms6+rYiIVIE3nosWtL7TGMsLj0VLH5AAaptFRKR65U1AjTFPG2NmtXA7FcBae7W1diRwB/DF1s5jrb3OWruftXa/QYP6F+8TiIhIxaxe4ZFJ589AU0mPlYsDZYioZ1DbLCIiXVXeIkTW2kkFnutO4DHgmk5FJCIiXUZNrSUQtKRTbSehXsBS10czQYtFbbOIiHRVnZqCa4wZ2+zuKcB7nQtHRES6kn2PTJLN5B8BDQbhoOMSZYhI1DaLiEg16+w+oL8wxuyCK/U+H/h850MSEZGuos8An4mTErz2dIR0quU+zUDQMnr3NCN2ypQ5uh5LbbOIiFStTiWg1tozixWIiIh0TVf8ZD2LPxrAknlurWdzobBP34E+3/zj2gpF1/OobRYRkWqmmvgiItIpsVrLz+5exblfqqfvoCyhsCUcsdT29jntsgZ+8+Aq+gzwKx2miIiIVIHOTsEVEREhEoXTLm3glIsb2LjWw/ehd3+fgArfioiISDNKQEVEpGg8D412ioiISKs0BVdERERERETKQgmoiIiIiIiIlIUSUBERERERESkLJaAiIiIiIiJSFkpARUREREREpCyUgIqIiIiIiEhZKAEVERERERGRslACKiIiIiIiImWhBFRERERERETKQgmoiIiIiIiIlIUSUBERERERESkLJaAiIiIiIiJSFkpARUREREREpCyUgIqIiIiIiEhZKAEVERERERGRslACKiIiIiIiImWhBFRERERERETKQgmoiIiIiIiIlIUSUBERERERESkLJaAiIiIiIiJSFsZaW/43NWYlML/sb5zfQGBVpYMok57yWfU5u5+e8ln1OdtnB2vtoCKcp8dS21wVespn1efsfnrKZ9XnbJ8W2+aKJKDVyhgz3Vq7X6XjKIee8ln1ObufnvJZ9TlFnJ70N9JTPqs+Z/fTUz6rPmdxaAquiIiIiIiIlIUSUBERERERESkLJaBbuq7SAZRRT/ms+pzdT0/5rPqcIk5P+hvpKZ9Vn7P76SmfVZ+zCLQGVERERERERMpCI6AiIiIiIiJSFkpAt2KM+bUx5j1jzFvGmAeMMX0rHVMpGGPONsa8Y4zxjTHdrpqXMeZ4Y8z7xpgPjTHfrnQ8pWKM+YcxZoUxZlalYyklY8xIY8yzxpjZub/bL1c6plIxxkSNMa8ZY97MfdYfVTqmUjLGBIwxM4wxj1Y6Fqleapu7B7XN3Yva5u6r1G2zEtBtPQWMt9ZOAD4AvlPheEplFnAGMKXSgRSbMSYA/Bk4ARgHfNoYM66yUZXMzcDxlQ6iDDLA1621uwEHAld24/+nSeBoa+2ewF7A8caYAysbUkl9GZhd6SCk6qlt7uLUNndLapu7r5K2zUpAt2KtfdJam8ndfQUYUcl4SsVaO9ta+36l4yiRicCH1tqPrLUp4G7g1ArHVBLW2inAmkrHUWrW2qXW2jdyP2/EfSkOr2xUpWGd+tzdUO7WLRfrG2NGACcCN1Q6Fqluapu7BbXN3YzaZrXNHaUEtG0XA49XOghpt+HAwmb3F9FNvxB7ImPMKGBv4NUKh1IyuakvM4EVwFPW2u76Wf8P+CbgVzgO6VrUNndNapu7MbXN3cr/UeK2OViqE1czY8zTwNAWnrraWvtQ7pircVML7ihnbMVUyOfspkwLj3XLXqqexhhTB/wL+Iq1dkOl4ykVa20W2Cu3zu0BY8x4a223WktkjDkJWGGtfd0Yc2SFw5EqoLZZbbN0TWqbu49ytc09MgG11k5q63ljzAXAScAnbBfepybf5+zGFgEjm90fASypUCxSJMaYEK6Bu8Nae3+l4ykHa+06Y8xzuLVE3aqRAw4BTjHGfBKIAr2NMbdbaz9b4bikQtQ2d3tqm7shtc1qmztCU3C3Yow5HvgWcIq1trHS8UiHTAPGGmN2NMaEgU8BD1c4JukEY4wBbgRmW2t/W+l4SskYM6ipwqcxJgZMAt6raFAlYK39jrV2hLV2FO7f6DNKPqU1apu7BbXN3YzaZrXNHaUEdFt/AnoBTxljZhpj/lbpgErBGHO6MWYRcBDwmDHmiUrHVCy5QhVfBJ7ALYi/11r7TmWjKg1jzF3Ay8AuxphFxphLKh1TiRwCTAaOzv27nJnrneuOhgHPGmPewl2wPWWt1RYl0tOpbe7i1DZ3S2qbpUNMF57FIiIiIiIiIl2IRkBFRERERESkLJSAioiIiIiISFkoARUREREREZGyUAIqIiIiIiIiZaEEVERERERERMpCCaiIiIiIiIiUhRJQERERERERKQsloCIiIiIiIlIW/w/neufFqLXt4QAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# we build decision tree of depth=2 and plot out the dividing surfaces\n", "plot_decision_surface(tree.DecisionTreeClassifier(random_state = 1, max_depth = 2),\n", " train_data, train_labels, test_data, test_labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We creare another desition tree with depth equal 3." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":14: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n", ":21: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# tree depth = 3\n", "plot_decision_surface(tree.DecisionTreeClassifier(random_state = 1, max_depth = 3),\n", " train_data, train_labels, test_data, test_labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Unlimited depth\n", "We now creare a desition tree with an **unlimited** depth." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":14: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n", ":21: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# dividing surfaces without decision tree depth limit\n", "plot_decision_surface(tree.DecisionTreeClassifier(random_state = 1),\n", " train_data, train_labels, test_data, test_labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This kind of decision tree looks overfitting." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solve overfitting \n", "Let's try to solve overfitting. We define the minimum objects (samples) at the leaf node: `min_samples_leaf = 3` " ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":14: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n", ":21: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", " pyplot.pcolormesh(xx, yy, mesh_predictions, cmap = light_colors)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_decision_surface(tree.DecisionTreeClassifier(random_state = 1, min_samples_leaf = 3), \n", " train_data, train_labels, test_data, test_labels)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 1 }