{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Семинар 11. Решающие деревья и решающие леса.\n", "\n", " - Выдана новая лабораторая работа, срок сдачи — 10 мая." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Решающее дерево** — алгоритм, который можно изобразить в виде дерева. \n", " - В каждом внутреннем узле дерева записано некоторое логическое правило, в зависимости от истинности которого объекты идут в соответствующие вершины. \n", " - Когда объект дошел до листа, ему присваивается соответствующее значение (метка класса в случае классификации или некоторое вещественное число в случае регрессии).\n", " \n", "Визуализация реашющего дерева для ирисов:\n", "\n", "![](http://i.imgur.com/KrX79rP.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Как построить решающее дерево?\n", "\n", "Необходимо в каждой вершине строить разбиение дошедших объектов, то есть находить некоторое условие $[x^j \\le t]$, по которому будет строиться разбиение. (конечно, кажется неразумным разбивать объекты в некоторой вершине, если все одного класса. в этом случае просто объявляем вершину листовой)\n", "\n", "Для того чтобы сравнить несколько разбиений между собой, будем сравнивать их, например, с помощью *энтропии*.\n", "\n", "**Энтропия** (мера неопределенности)\n", "\n", "Пусть имеется некотрое дискретное распределение, принимающее *n* значений, с вероятностями $p_1, \\dots p_n$. Тогда энтропией распределения будет следующая величина:\n", "\n", "$$ H(p_1, \\dots p_n) = -\\sum_{i=1}^n p_i\\log{p_i} $$\n", "\n", "В случае *регрессии* выбирается разбиение с наименьшей **суммарной дисперсией**. Чем меньше дисперсия, тем меньше неопределенность. \n", "\n", "Получается, процесс нахождения наилучшего разбиения в вершине устроен следующим образом. Пусть в вершину пришла выборка $X^m$. Хотим найти некоторые $j, t$, где $[x^j < t]$. Будем просто перебирать возможные значения $j, t$, чтобы значение выбранного критерия качества было наибольшим.\n", "\n", "Критерий качества:\n", "\n", "$$ Q(X^m, j, t) = H(X_m) - \\frac{|X_l|}{|X_m|}H(X_l) - \\frac{|X_r|}{|X_m|}H(X_r)$$\n", "\n", "После того как разбиение выбрано, разбиваем $X^m$ на два множества по выбранному разбиению и повторяем для следующих вершин." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Критерий останова построения дерева\n", "\n", " - когда стоит прекратить разбиение вершин?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Рассмотрим задачу регрессии. Предсказываемой меткой назначим расстояние от начала координат до точки. " ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import pylab as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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L7h0gh5MDbm5uH/gORGrK9NOXFi6Yx8SJ4ylZxJRKpVRCwxW2H4ii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\n8Pj5czHhJ4dJSEjA3NScaIvnGtt2PlY8o7F2FwLevKR3p16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bS/1M92fzGDZ5bI7bL7ht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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data_x = np.random.normal(size=(100, 2))\n", "data_y = (data_x[:, 0] ** 2 + data_x[:, 1] ** 2) ** 0.5\n", "plt.figure(figsize=(8, 8))\n", "plt.scatter(data_x[:, 0], data_x[:, 1], c=data_y, s=100, cmap='spring')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вспомогательная функция для дальнейшей взуализации:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def get_grid(data):\n", " x_min, x_max = data[:, 0].min() - 1, data[:, 0].max() + 1\n", " y_min, y_max = data[:, 1].min() - 1, data[:, 1].max() + 1\n", " return np.meshgrid(np.arange(x_min, x_max, 0.01),\n", " np.arange(y_min, y_max, 0.01))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Обучимся на наших данных, предскажем ответ для каждой точки решетки и визуализируем результат." ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.tree import DecisionTreeRegressor" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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S+jFx5+xi31vXLZCWXhG8dfDnYo+rqspr+xcT5deQUOeS93wWoqJYa9T0cGv0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clf = DecisionTreeRegressor()\n", "clf.fit(data_x, data_y)\n", "\n", "xx, yy = get_grid(data_x)\n", "\n", "predicted = clf.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n", "\n", "plt.figure(figsize=(8, 8))\n", "plt.pcolormesh(xx, yy, predicted, cmap='spring')\n", "plt.scatter(data_x[:, 0], data_x[:, 1], c=data_y, s=100, cmap='spring')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "У решающего дерева есть различные параметры, например:\n", " - максимальная глубина дерева\n", " - минимальное количество объектов в листе\n", " \n", "Посмотрим как эти параметры будут влиять на предсказание." ] }, { "cell_type": "code", "execution_count": 99, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3/zeGJQsOU5FXxu9fHc2Q0Vfu0uaqdv1windf28GRA3nEdg/i0V8MYvCo8Lrf\nKISoxWgy4OnjzrncYoLDL/Y6KThdzLV39cHkZmTvhkx8/D341Qc30ik60InROp7WmnVf7Cd5fipF\nBWUkDo/kpp8MJaiznAwCKWzEVQy5NpYFb28jed5eRk5PIP9UEXP/vI7rZvUmINib6Y8MdHaIzcZc\nZeGVh5YwfGIsry28mbycEv7zx41UVliYcr8MkCBEQ818oBe/fmw1IRH+xA8M58DWLJLn7ObNTybT\nvVcIv+gV4uwQm83htDx+/fB33P+bkTwxIoLUrSf5zeOreOuz60no27HuBoQQ1QwGRdKticz541pm\n/mYMASE+rF+YytmsQvqNi8HN3Uj/pBhnh9ls1szdxw9LDvHEy2MICfNl5fwDvPH4Ep6fe6t0uUMK\nG3EVnt5u/Oa9KXz6f5tZ9NYW/Dp4cd2s3u3iwH7X2kyCQr255+mhAISE+fLU/43n9/ct4Yb7+spV\nGyEaaMCwMJ7782j+9doWjh8uILZHEC+9MY7Efm3/wH7+R6lMvb8vY6fa7kMcdX0c+bmlzPswlRf/\nnuTc4IRwQdMeHcTSD3bx1mOLKTlfTu9RXXjqX1Nwczc6O7Rmt+qzPfzu3cnE9LANrjLrZ4M5vCeX\nlORjDJkk9zpLYSOuKiwmkF/983q01iilqKq00B6O6QtyS4joWvvydVh0AEXnyrFaNEZTO/gQhHCw\npOtjSLo+Bq01AOYqq5Mjahk5p0pIGNWl1nMRsQHsWZ/ppIiEcG0Go4Gpjwxi6iOD0FqjrRp7WmnT\ntNYUnCklIrb28UlEbCAFuQ2b96etkgk6Rb3s33aK527/goeGf8hPJ87mu89TnR1Ss+oxKIxt3x+n\npLCi+rl1S44Q1ye0wTMhCyEu0loz5719TBrwGWO7f8isyV+y64dTzg6rWQ0eGca6xYerCzqtNWu/\nOczgEWFOjkwI11ZeUsknf1zHz8Z9zE/HfMi/fvkd58+WOjusZqOUosfAMJIXHa5+rqykkq2rj9F9\nkNyzB3LFRtRDTuZ53vrlKiY/NZZuI6I5cyyfb15ejbe/O6OmdHN2eM0iukcww66L4+lbvmTstG7k\nny5m+9pMnn57srNDE8KlfTP3IPNnH+S2V6cSFBnAoY3HeOah7/hs2c2ERfo5O7xmcet9vVj97RJe\nvH8JfUZEkLr1FKWF5bz01zHODk0Il/bxS2sxG038ePYsjG4GNs/exT9+sYLn/ntTm+0yfsvPh/P2\nz5aRtuNsBuNSAAAgAElEQVQ0oeG+rP/2CL1HdyEmse13660PpVvo2p1SSjd+XY86NJbW5NUNjmvr\n2dWOa6smtWYrg0KtTHxsePVzR37IZNF7u6i8f3rzrLQ10BoycyD9BHh5QJ948PWu+30tQL/wrkPa\nUUqhtXa57C/5pP7mN/Li6syFjo3jAvf3v+SWJ4cRM+DiyGfL3trI7iIv9Li2OyAJZgvsP4rKyUeH\ndoCEWHBrHecWHZFPJJeI+vjPDse1df5sKS/ctoCffH4XbvZ5a7TWvPfAPB750zXE9Ap13MpamaKC\nMrYuP0JRfhmJI6LoNqBzqynkHhnk3HzSOrKqaNUM5ZUEhNSeyNMv2BvOFTW+UauG3Ydw258BRkVV\nr27Qqyut6gYepSC6s+0hhHAIXVaBX7BPrecCQrxRR87S6NNsZRWoLXsxZZ3G6u+DZUgfCG9lo6yZ\njNAnHt3H2YEI0TaUFVfi4eOGyePigAFKKdy83MnJPN/owuZkej4rZ+8lN6uQuN6hTLyrD/7BreOk\n5gV+HbyYcKckk8uRmwVcUO6xAvYmZ3A267xjGy4oRH2/HePSDbD/mK34ACxdI9mxeD9V5WbAdkZk\n+6JUlMUCR082alXGFRvpsC+NcTN6MGZqPH5bdmJYt9NRWyKEqAerVZO27STbVh+j+HxF3W9oiOOn\nMC7fhGHlFjh19uI64yLZ+uXe6vtNKkor2bPiEKRnQaW54eupNGP67zfEGoqZeG9/Bg8MxvT5Ujje\ntu/bEaK1KS6uYvHi46xalYXZ7LiBQcxVFrYsPcynf1rPsg93UZhnu4cmtEsABqVI/+FE9bI56Xnk\nZZ3nhxXpjVpX5oGz/PWRJVgCA+hx8wCy86p45YFFte63Fa2bXLFxIRazlQV/TuborpPE9g5l0esb\n6D0ulhufGl09m3ejZZ7GNH8lva/tRoeEAHYt30HxwaOYpydB92hKlq7j3fvnETesCznpZ7GYNX2n\n9WLHwWNYYxt4w9r5YtS+dKZ/eCfu3u4AhPUKY+6PF8CwPuDp3rRtEULU6eypYl55bBkGo4GAjt78\n83fJ/Oi3oxkztenDhRo2pOCRksagGxMxV5jZOXcZldcMg37dsfRPIPXTxeRm5BEaG0T6DyeIHR6N\nMT2fs8dPQrcuda+gpn1HCAnzZcJT41BKETkwEu8ALzZ8s5Oq6Cl1v18I0WTLlmUy6+7viekZQllJ\nFaXnylixbDIJCR2a1K7FbOXNny2nvMJKtzGxHD2Wz+pZX/DMu9PoHBPIoAkxLPrTamIGRWByN5Gx\n9QTjfzKK1W+uw2K2Nniwn28/SqH/zIH0ntYbgMj+kST/bQ0bFx3kunv6NmlbRMuQwsaF/LAojbKC\nUv665A7cPEyUl1bxykOL2bM6nf4Tm3Yw4rZ6C5N/NoqeSXEA9JuSwHsPLcSclQtRnVB+Pgy9JQGL\n2Ur0sGiiB0Wy6ZMdaFMjxow/e47A6ODqogbAJ9gHryAfis8VQefgJm2LEKJu7/9xA0Oui2PawwNQ\nSpGdns8rP1pMn+HhBIY0odtFcRlqUwr3f3A7vvbuGz3GxDL7l0sx94oDf2+swIAZ/SjNL2XaDYmE\nxoXw8eNfgqnh/yWpswVE9w+v1b88rE8Y1ve3NH4bhBD1VlxcxZ13fc8Tb0wmvl8nAL5fkMZd9yaz\nc9vNTWp75+oMSsvMzPzrNAxGW5GyNWw3i/69nUf/ci0R8cFE9u1MzLAYLGYLox4aDgqMJkOjeraf\nTC9g7E217/Xr3Duc7PTTTdoO0XKkK5oL2b/hOJPv6VM9s6yntxvX3dmbtHVHm9aw1lRl5tJ9TGz1\nU24eJuKHdYETOQBU9u1ByvJDdBvdldihXcg5fJbdyw6g+zZiVLSOHSg4lkdF8cVLu8W5xZTll0KH\ntjkqkhCtSWWFmX1bspl0z8XJZiPigugzMpKda5s4t8qps3SMC6kuagBCuwbj4esO+YXg640hOowT\ne0/Ra3IPQmKCSFmcSnFRZaPuZ9OhwRzdkUXNG8CzU7JRcoJEiBbx/fcniU0IqS5qAMbN6ElGeiHZ\n2U2bW+XInlziR8ZWFzUA3cfEkrHXdmzSPymGnINncPMy0XtyT0weJta9u5lhN3Sv9Z76iuoeRFZK\nVq3nTu7OIqqb5BNXIVdsXIjJw0h5SVWt58pKqjB5NG03qp0HMHm6kZueR+futuECtdacPHwW+trn\nWRjSi4KSUj58aD4mTzcsVjBPGgWhQQ1fob8PekAPvnp2CQNn9MFqtrJ9wW6so/qBh3RDE6K5GQwG\nDEZFZbkZD6+L+aOstKrW7w1mtmDYc5CCjLNYqiwY3WxXdMsKyyk/XwZ+tmKnaloSaYuTSZ35GQaj\ngqAAzHdMBkMjzrX16kr+tn2seGU1PcbHkX+8gN2L9tnaE0I0Oy8vI2WXHJuYq6xYLBpPz0b06rA7\nm13Ivo2ZdIgOYsitF7uB5abnERxuG9DIy9edJ96YxMd/WEfyOxsxV5rpNzaG258afqVmr2rKjwbw\nt8eWUFlcQUh8RzJ/OEZhZj6j/ji20dshWpZDChul1AfAVCBHay2dEJvJoOt78PW7W+naJ5TQSH+y\n0wtY9t/d3PKbpMY3eiQLzy0p9Lm5D0teWcP4x0bg19GHnYvTKDhXCd2jbcsZFNZrhsKoAVhKy8Hf\nBxpxNuQC67XDKEzNYMN3GaAU5mtGQPcG9q0XbY7kkpZhcjMw6oZ45vx1E/f+djSe3m5sXZnB0X1n\n+MVrExrdrnHNVsI9zZh6d2bRH1cxYtYAzJUW1nywFfp3tw2bDuDjaSs8SsqwWKy2fNJYbibM904l\nc1sap748iMXfF+u90yC0aX37heuTfNIykpLCKS0oI3lhGmNv7om5ysrCN38gKSmc4GDPRrVptWre\n/vkKuo6LJ23lQTb8dzs9k+I4eyyf5H9v5v7nLxYaXft04qX5t1KQU4KHtxs+/h6N3paI+CCe/Wg6\nq+emkvX9Abr1CWX8b4bj5SsnXV2Fo67YfAS8DXzioPbEZfQeF0v+qSL+cPdXuHuaqKq0MvGhwcQN\nbPxss267DzBi1gB6T+5JUFQgmz/fxfnThVRUgrVnDBw5YbuZ98LgBB5utkdTKQW94zD3jmv4e7W2\njdjWhMJKtFqSS1rIfb8ewXt/WM/Tk2fj5m4iIMiTX78zCU/vRv59a43eeYBr/3MbXgGe7Fiwm2Wv\nr6Ukr5QKL28INsLpvNr30Pl4OWZjPNxhdH+q6l7yf1mtgLqY40RbIvmkBZhMBlYsn8xd9ybz9T+3\nYbFokpLC+e9Hjb/KcXRvDhZg2F2DSJzYg62zd/Dl88spLSij+6AwstML6JLQEf8gWw5RShHU2dch\n2xMaFcCdvxzZqPdazFYMRtVq5pRpjxxS2GitNyiloh3Rlri6sXf0ZcTNiRTlleLf0QeTW+Mv8wKo\nyio87WciuifF06FLB7789RJihnShQ5QfB9dupzT1CJabr3H+HDMWK2rtDtT2NKzllZjiIjBPGgkh\ngc6NSziM5JKW4+ntxk//cg3F5ysoL60iuLNP0/4z1qArzXj4emByNzHsrkF4d/Bm00db6T0mGg0c\nnLOUqqQhMLCnw7aj0YpKMS7fiPXgcTAYUP26YZ04HNwdcOJGtAqST1pOQkIHdm67mezsEjw8jISE\nNO5KzQUVZWbcvd1RSuHfyY8JPx/H0j+v4uyxfLziwkjdf46Vny3k6X9NITyuEV3iHezwrlPMfX0L\n2QfP4hfkzQ0/6s/423s5O6x2Se6xcUFuHiaCwv3rXrAuVitV54rZvmA3MUOjMbkb2fD+FgbMGkzC\nDbY/yMRpffjiyS8oOXoSukbU0WDzUsnbCcrPZcRrM/Dq4M3hFWns/exbLD+Z2Wpm8BbC1fgGeOAb\n0PiuG9WKSjB5u7NjQQoj7h1CZWklGz/4gamv3UxAeAAA3cZ355tfLcLSO865BYTWGOcuJ35IJL2f\nvRdLpYVtH2zi9LfrbSdxhBCNEhHRhG6lNZQWVZBz+Cyn0k4TltiZ4zuzyDtewPS/31p9717akn0s\nfHsrP/u7c++nO5tdyDvPfMfAh0cz8sUYzp8oYMWbq/HycWf4lEYMsCSaRI4G27ODx/H3MeLXyZ9P\nHpxLWGInsveeYszT11YvYnQz0nVEDHszT7dcYWOxT+xVs6uZVaN27Gfk32bg09E2clrPqX3I2pnF\n2QPHoE/T594QQjSecf1O4sbGcWTjMY5vz8LkbsAryLu6qAEIjAzEu6MvRbkFENm4WcEbzGyx5ZKa\nV6OycnG3mul/1xD7TOUw/PGxfPXIbCgpB5+mnW0WQjSe1WJl4VtbGXjXIL55cQWde4SSl1lA/Pju\n1UUNQOzoOBbN29FicWmtMVdZMbkZal3d3rj4ENFjuhE1vCsAHWKC6XvvCFbP3yGFjRO0aGHz4osv\nVv+clJREUlJSS66+TSotLOfkoTw6hPkBDbuKo07k0GN0V/rf1p+8o3kUHC/g9MEzFBzPp3OvsOrl\nzhzLh8jYq7TkICXlGFZsRO8/ZouvV1esk0babjjWGmt5JZ6BtefX8A72hjKZEbi+kpOTSU5OdnYY\nDiH5xPFOZxZy5mQRsQnBQMMO7g1ZOSTeM57Rj4zk5N6TFJwoYMfsHZgrzNUjN1aVV1F6trhpgwXU\nV1YuxhWbsGSfweDtiR7eBz2qn63AKavAK6h21zuTpwmjhxvWikopbOpBcom4GqtVs2PHGSoqrAwb\nFoqbW/3viT1/tpTKCjP9Z/QncXIiWbuy8Nl7krNHztRariAzn8BOjrmvpi7rvz7AN//ZSXFeCR2j\nOzDzqWH0GhEFQPH5CjyDak9V4RXsQ8l5OTapL0fmE0cWNsr+uKKayUM03fp5e1n98Q46xwVzJvMc\nbpFhVE0fD/WcNFMH+JKTYRsLPjg2mODYYHIP55L8t9WMfmIc/mH+HFx1kDNHC2BSjZGSKqog87St\n4Ijo6LB7bwwLvyM8PphuP7kHtObg51s4vXAV1numgNGAqWs4R77bT48bbDMClxWUcnLbcXigv0PW\n3x5c+p/2Sy+95LxgrqzOXAKSTxypqtLC289+T9q2U3SMDuRUeh5q5ED0iPoPJKUDfMk/lk9I1xAi\n+0cS2T+StGUHWPXKSobcOxRt1Wybvd02+mHNwuZcMeTm2+6VC3JAF1uAolIMc5eTePcIOg2Poyy3\nkJS3V1NiNMCIvhDViXNfreH8iXwComz980/uyMTqZoJAmUurPlwkl4Acm7S49PRCbpi6gpJKjbun\nidKCMr5cOIGRI+s3T5VPgCeWSgsleSX4BPvQdVRXIvpFMPuB2eyas5248d0pPHmOre9t5NYnhlS/\nT2vNiYN5FOaV0rVvJ7z9HNDFFtj1/VEWvZ9Crycm4hcTwtndJ3j3uTX86j9TiewWTJ+RkXz+5jbi\nJyVi8jChtSZ9RRq9R0Y6ZP3tgSPziaOGe54DJAHBSqlM4AWt9UeOaFtcXmZqDhvm7eGJj24lsJMv\n5koLn/7uO45uTME6blD9Gunbjax3d7Ntzg66J8VTcLyAwxuOUtEjjuSPtqOLStGxEVjum3axP3xa\nBobF6/GJCqKysIwqgxHrHZObfgY2twDjuUIS7p6Css9lkXj/aHIe/wT2pdtGUJs0ij2zvyVrxwm8\ng33I3nYMy4i+EBxQR+NNYLHaRk2Se3hahOQS5/jq/RQKS8w8vWAWJncj53KKeeexRZRFdoKoTnU3\nAJiH92PjB6sxmAyEdgslY/NRigrKKIyMZOkrqwGw9IpHj7afiNAaw8rNsPswfl1DKT52Bt29C9ap\nYxs3n01Ne48QOqALYaNs3UB8wgLp9aPR7PjrMix9u4OPJ9brR7Hyt4sJG9QFc4WZ3NRTWG+/rnlH\nR6sy27ZNRnRsEZJPnOO2O9YQf20PRtzWB6UUBzdnMv3m78jKnAXUfeLV3dNE0m29WP3Kdwx5YBju\n3u7s+XI3kfFBuBUVsuqFxQSE+DDz58MYdK2t+1fJ+XLeemolebmleHf049zRNdz+1HBGT2/6QCWr\n5qURe9tQ/GNt8/x17N+F8PGJvPe773lx7i30HtWFHt8fY8VT8wkb2IXzx/MwVJm58d9TmrzuK9Fa\n2wZY8DRhkBEda3HUqGizHNGOqL89azIYfGNC9WVYk7uR6340iA+e/57K+hY2Xh5Y7pvGnnU72Lti\nKSrAh6rrRkHPmMsPm1pchmHJeoY9NwX/mBC01hxeuJ3MZRuwzJzUtA0qq8DN36u6qAEwmIx4BHpT\nvnor1l5doWMglh/P5MzBY1BaDvf3a76ipsqMadUWrCmHwWrFFBtG5eTRjjujLC5LcolzbF6ewY2/\nHofJ3XbQEdjJlxHTE0jen4G1noUNseFU3XQN679KQedvg4iOWO+bBh07YJ404n+XT83A48QpRrxx\nJ27e7lgqzPzw6lKKdhyAIYlN2yB7V7OaPAJ9QGvUhl3oSSOgbzcsMeFkHTxuu8o9fuzFeXYcLb8Q\nt2XrsRw7DQYDhv7dMF87XE6YNDPJJy0vM7OYjIxCbv5r7+qunj1GdGFLmD/r1p2CoPpdxZj++GAC\ngr1Y9/4mKsvNDEiKZtpLo/H0ufx8MnNf34IODWLE09NQBkXJqXMseHkRPQaF0zGyaf9vlxRWEHRJ\nN3ivYF9Oni3jwNZsEoZFcv/z4ziWdoaMPTkEXxdF75FRGE3NcwJjz/rjLPz7D+SfLsLb35OpDw1k\n7C0JzbIuVyRZ1UUZjAqL2VrrOYvZ2vAznR38sUwfX79lD2cS1DsC/5gQwDZufNdp/Tn2+Ce2M5FN\n+U86PITy3ELOHcklMN52U3H+/pNYKszo8ioots9a7m5qkYECTCs3EetRwU1z78DTx50tX6aSPGcp\nVY/fLmdbRZtjMCisFl3rOYvF2vBupl0jqKrnICPGg0eJu743bt62AxWjh4n4qX3Z800qlqYWNvFR\nZH+1ipjr++LmYytWTqxKJbBHGOeOncRyYTl/n6YXUXWxWDHN/pak23oxfMZkyksq+fpvGzi6chPm\nKTKbuWhbjEaF1hpdO51gsVgxmQw8uqS+LSnw7Q1327qerwJWfX+VpVcdZdxrM1H2qxc+YYEED47j\nd+8chVH9GrwdtXSOwrJ8L/26dUIphaXSTNbaA/h178zf52TDmQvFWkfw7QiFwPKmrfKKTufhPmcd\nd75wDbEDwzl9JI/Pfr+K2RmekNAC90LXwyP1PLfeXOQIzUX1nxjP9sX7yTmaD0B5cSVL391GVa9m\nPOg3GrBWWmo9ZTVbbF036nsAVFwK29Jsj6LSi8+7mbCO6Mf2Vxaz+53V7H57FSlvfkf8rOG2CTkd\nMSlofVWa0XvTmfHLMfh28MLkbmT0HX3pEOIF6VktF4cQLWTcjd1Y/cE2yosrAcg5ms+WRfux9m6+\nfKINBiyX5BNLpaVhJw5O58HmPbD3iO3kygVdOmH282XDL+eR+sE6tr68mNydxwnuGwW+DpoUtL7S\nswgK9Wb0HX0xuRvx7eDFjF+OQe9Nh0pz3e8XwoVERPjQp08waz/ZidViRWtNysrDlJ8rY8yY+t1j\n0xjKZMRyyd+TpdJc73uOsVrhUCZs2gNHT1KrMhvZj7y0k2z+3RekfbSeTb9ZgFeoP8pkAl/vK7fZ\nDIwpBxh5Sy+6DopAKUVYtxCuf3QI7rv2t2gcrZlcsXFR4d1CmPzoUD742RJ8g7woPFOCOTEOPbz+\nN/s2WPdozq3cTO6OY3QcGI210sL+OVtQvbqi65M8DmWivv4e/15RoBSFa7ahp4+DnjG210f3R+87\nQmVRBSH9o4iY1If0L3dA/x4tO+eF2YxSVE9ceoFvkBe55TLKiWh7ptzbh5ysIv42cw4BHX0ozi+j\nYtwwCAtptnVa+3Ynfcl6gvtE4NMpgLK8Yg59tRPLyIH1a+C7LRj3HSGgXwzlmVmUrdmGvncqdPAD\npbDeNB79/ldYqiyEX5OAm48HaR+sw3L9mGbbpssqr8AvqPbBT3VuMZttV6GFaEPmzRnPjNtW88bt\n+3FzN+HvY2TpkkmYmqlrFoDu1539c7bQ79EkTF7u5KVmk7vrODw2tO43V1Ri+GwZbsqKb1wnCpcf\nwBzoj779OtuJFk93LBOGUbF+B8rdjR4PjKUku4D0Rbvgsct0s21GhooK/IODaz3nG+SNkmOTapJR\nXdjgG3rQb0IcZzLP4R/iw8s7m/lMpKc71tuvY/dnazH+dyOW8iroGoF12ri632u2oBavJf4nk/CN\ns521KTmay+F/LEfHRdq6sRkU+t4pnP9uC+cWbke5m9ADeqLre8+Qo3h7YujYgV3LDzFoiu3Gw7ys\n82SmnIQft/BBkRAtwGgy8PDzo5n5xCDyc0sIjwnkniXN/N9DXCSVQ/uw6YWvMfl4Yi4qs43C1qtr\n3e/NysWYlkHi87dhsnc1O/XtTnJWbUHfNtG2THAA+s7JnFmzjZytazEE+2OZMNw2KltL6hrB8eUb\nycs6T3Ck7Z7AXcsPYezUAYu3DCst2p6ICB9+2HQj6emFVFRYSEgIrDW0enPQ4weTv3QD3z85B6O3\nBxarxnrzBFsX9rps3otfqA+xD01AKYW2WDn4xreU7T4EA+2DDwzoQZVVk71lD1mrUzHEhGG9e0qL\nDw1f1bULm7/ZS9+J8bh5mLBaNRsXplIV18J5rRWTwsbFuXmYCO/WfGdV/0eXzlgfmYF1z2EwmWwH\nIfW5tyYnDzc/r+qiBsAnNhT3IF8qTp2FLvbnfb2x2mf+1pdrp4VU3jCGpf9Zxq7VR/EJ8ODI1hNY\nJg5v+W4sQrQg/yAv/INa8Ds+rDfW+CgqD2VCaAfbJMD1OQBKzyJoSFx1UQMQMjaBnJVzay/XpTOW\n+6cBULvTWwvy9cYycTj/fPRr4odGUXK+glPpeZjvvN5ZEQnRIuLiWnCwHTcT1ulJ0Ccba04edOti\nG0K+HgwZWXS8ZUh18aWMBkJH9+DE9kysFwobpWBwAtbBtpv0nZZPenWlID2T1++eT9ygSE7sz6XE\n6IF1Zj1OMLcTUtiIhjl+GrXgO7zCO4DWlK36AT3zussPCXv2HKQdtd2DExmKubAMq9mCwd5tTVus\nmM+XQms8a9k5GPNP7uDEoeNQWQWPDmuZSQWFaE827kZt2IVvtzDKU/ZjcXfHeufk/80JWtv6vR8/\nBX4+4G6iMq+g1iJVBSUoH0+nnhC5Ej2gJ+a4KA4cOQHBbjA5WrqgCeFIZguGhatQOXl4R4dQsjEF\n3SsOPXnk/54sqTJDWgbkFUJ4CHh7UFlQXGuRivwStFcrPDYxGDDfdA3m7DPsPXkGkuIhJsxh8wm2\nBZJZRd2yz2BYtwNy8qGqiogbBtBpou1enoKUY2R8vgb905m1R2RLOYT6bgv+g+LRVitF83dDB38y\n52wg4uahKKXI/nobOsgftWkPnDgNgX62rij1HFWp3g4ex5RyAKrMmLtFw+DE+t2g7G6C3nGOjUWI\n9m73YQzb9tkGEqmsosfTU/HpYhs+/tjsjeSv2YqeWmO0MK1RXydjPHUGv/6xVGRmUXosh0KLlTPr\n9hM8ojuVZws59tl6rHFRqDnLoKAIIjuhxw603XPjKGYLbEvDlJ6JdnfDMiABukXV773+Phe7tQgh\nmq7KDOt3YUjLALMZk6cbvf5wO0YPE5aySlJf/YbKA8dqjxZWUob6eDEewX54x3SkaMNOqqyQ/fU2\nPIL98InrTGHqCXLX7EMP6IF6/yswW9A9Y22jqzlyiPbCEtSWPRhPn8UaFIB1eN96X2UioqPtIf6H\nFDatSGlRBcf3nMa3gxeRCR2bvU9qveQWYJizjOgZQ/BPGElBynGyv92JX0Ik3pFBdOgfg+mLrVTl\n5F+80biiCrViM1E/vxGPsA4ABAzvwYl/LeNcaAcKnpsDgOoZg84vJLB7GH4TJ1B5Mp8zX63BetN4\niHPQjL1bU/HYtpc+tw3EzdeDg0v2cv7EaSy3XuuY9oVopQ4fPs/+/QXkegYTGuHAg/um2J6G+7Z9\nxN45EvdAb06v2kvG+6vp9fytGExGwq/vR/6fvoapNd6Tno3x9FmifzUDg/0qR96KXeQfPMnJzelk\nfb4B5euJ7hENaRl0vHk4HpEhFO/K4NxH36AfvcUx/eC1xrjwOwLdrPS4pQ8VhWXsm7+BiqIBUrCI\nNk1rzebNORQUVDJmTGf8/S8/l0xLM3y5Bj9PiHp8AubSSrK+2krWF1uInjUao5c7YeMTyUw9hq5Z\n2GxIwa9HOJ1uHw1A0KSBnPjHt1SEdST9v+uw5p3H0DkYa0wYbsey6Th9CMrdjfzvUij/YjX6jibO\n2XdBcSnGD78mZmRXwicM5MyBHA59/E313F+i8aSwaSW2LTnA0n9uIToxlLyTRXgHeHLvK5PwCXTu\npVC1dR9h1/bGJ7ojh99dTXnOObBqjn6whoTnbkYZFdaKqtpnMU6dwS00sLqoAfDs0hGTnxfmIb3h\nRltfUL1lLz4eipCpQwDwiAgGo4HcdSm2AQXqq7gMCkugY2DtOCxWDOt2MvalqfhH2mLp3C+Sb5+Y\ni+V0HnQOvkKDQrgus9nKAw+u49ulJ4jt1ZFDu3MYdUM8D/xmpNNPlhg2ptD9JxMpycon4+NkrFUW\ntMXKibmbiL57DJaySpSbqXZ3smMn8R/YtbqoAQgY1p2CtfuwPnMPWDXaoFCfLSV0xgj8hnQDwCM8\niKqCYopTDjZsHou882Cx2A4uan5e2Wcw5Z1j7N9vx2Af3SkwOpjkV1Zg6d+94XOICeECsrNLmHzD\ncgpLrQSGeHPswPf859+jmTnTyb0ZzpxDncwl/uWZZH21lTObDgFQerKADgNi8E+IxFxWCW61R1Q1\nHDtJwKyLgwApo4GAod04s/8U1idmglVjrTKj3phNxG9vxxRgG3wg/MGJHH3xc3ROPnQKql+MFiuc\nKQBPDwj0rf3a9jQiB3Wh/322UdVCe0dgMCoObtqNZXpS4z4TAUhhU6fjx4v49NPDFBVVMX16NCNH\nOneSlBoAACAASURBVH4c9rzsQpb/+wee/fhmQrsEoLVm/mub+Padzdz+23pOntlMDIXFeA0M58Bb\nywifMYwOQ+OxlFRw/MM1nPjiB4yebmh/39qXT329MRcUoS1WlL3Ll7XSjKWw1Hbz/YWDhYIivKJq\nX0r1iApBnz0PyTtQJ06Dvw96aO/LDztrsaKWb4R96bh18KXqXAl64nAY0MP2ekkZBgPVRQ2AwWQk\nqHsnTucWSGEjWtymTadZtOg4/v7u3H13PNHRjr+S8t57B9ieWsiLX92Ju6eJsuJK/v74EjYtS2fU\nDc0/ue0VaY31XDFVRRVkLdpO7I8n490lhLKsPDLeXoZfj3By1u3H2r9H7ff5eVNxJrfWU5Vnzl+c\nP8JwIZ8U4tGldj7x7BJC8f7TsHgdqqAIHdERhvcBn8sMkFBYguGLVahzRRhMRiwGI9YZ11zMPf/P\n3nmHR3Gee/ue2aLVqjfUCyoI0UH0KkwH22Bj0xzXxI4dO8lJ8UlyTvIldpKTOHEcJ3bsNDvuBncw\nvffeEUIISQhJqPeyu9rdmff74wUJiSaEsMHe+7q4QKudd2aF5pn3ab+nooaQ3hGtTg1AYM9QRIsT\nWlzg7XXxmh483CCcTo1PPjnNvn1VpKYGsGhRMr6+3T8W4bHHtxM/PJ5Zj6WjKArFp6p57PHlZGRE\nEh7+xc5waUd9I5aIIEqWH8Re0UDaswsw+lqoO5BH3r82kvTtyZRtyETcO7XdYcLXirOiHkt8j9bX\nnBX1CJ8L7EmTDcXbq9WpAekAmaNDcBzPQ9lyAFxumSUe3PvSpe15xajLtmC0mHA3OSA2XFajWGS2\ny1hVR/htCe0O6dE3ipwdBd3y4/k64wkxXYH164sZkv4JuYV2WhQDCxZu5Be/2N/t5zm+rYAhk5Po\nESelQBVFYcY3h3B8a8H1LawLsLfIv7uIFh1O6fpjWHv2IHhkLxRVxejnTewDE6jakkX5yQr0jmVd\noYGIiFBK39mMq6oBZ0U9pW9vkuVlFzbgR/eg8WgB4oLrazyQh6JrWJsa6DGpP4GxQSjvrITCsosv\nbtdRfBrqGfrcItKfvYcBP70Tw6a9UFolv+/jjUChrqC67fM43VSfLIOITkZcPHjoJn7+830sWLiR\nFsXAqTM2hqR/woYNZ7v9PIs/PE3GwgGYLTJu5e1rZuKCfuxed/r6FnZr4HB2/XhFQY0L5+yKg4TP\nGIw1TjoM3jEhRNw5lIJ3tmELCoaxg9of1z8Z28kSajcexd1ox55XStnibYiR/du/L7oHTUfaPqMQ\ngvq9uSj5xQSG+9JjygB83S0ory+VdrED6mebiBwQzbA/LiL99wtInD0YdfEaGXUFiAihKqsEzdWm\nh1RzqgLF2wu8bo7SHA9fD+x2N5MmreDFl7Iw+Vv45PMiBg/+hPJy29UPvgZaWjTWrytmygMDW7O9\nMSkh9B0Vw/Llhde3uNPVfqjutRIZRvOZCiq2nSBm4VhM/t4oqkLQsGSs8WHk/G0t2qQRENOj3WFi\nRH8ql+2lOasIrdlB/e6T1O8+CelpbW8K9EO43TiKqlpf0pocOHJLUTNzCRkYR9jY3pizclGWbr74\n2mwOlI830PtbGaT/dh7Dnr+P4BALypqdrW9x9wim5Eh7+192uBg93BNwvV48GZvLIITgqad28qe/\nT2TiFKkP/uBj/Zg8fAmPPNKLnj27T8bQaFJx2l3tXnM53BhM1+F3HsnBsGkfwuFEsZjRJg6Dgb2u\nfZ3hfbHtP05AaPvPazyvPnTfjEuWYIi5k2jeuA/bC0tBURD9k2Hi0PZv6puI81A2xX9bif+QnjiK\na2jcfwqvhHB63JeBoihY+8Rh8PWmessBxP2z2h2uZuaS8PA4jFa5qbBGBRExPo2zx3JllNWgok0c\nxrbfryZtziDMvl6cXHUcrWcM9Djn2Nhb4OQZ+e9ecTenQpuHW568vAZe/XsW6/fOJzhE/o5NmBzL\nU0/tICvr3m4tEfPyMuBsab9hcDrcmMydnMDdEU1H3bAHDmaDLlAjgnHPGNul4Z365JHY3l9NaIee\nF4OPBaLCpIJRR6wWxAOzqN6wl6rVB1H8fRCjB8Gg9vZMTEin9o1luGqasMSG0HjoNO76ZoKmpxMw\nQTpB1rRY9Dc3YDt8EkZdMMy4oRnKq4n575ko5+xZ2MgUitdl4jhTKgVNosLQInuw+dkV9Jreh5YG\nB1mfHUG7bURb1qiqTqq3+VkhObbzU889eLgG3ngjB6PFxFsfTEc997v3y6d38PvfH+HPf+6+gZGq\nqqCqCq4WDS/vtmyQ0+7GYuni73Z9E8YV29BOl8hgR1oC2vQx157x9LHAuCFo6/di8Gl/rDHQB8YP\ngQEpFx+XHIM+fQyly/YhqutRonsgFk6H4Av2OAYVMWUUZ19dReC4PqheJmq3HUdRIPLbMzCHywoV\n7z6xFD27GFFRK+Xqz5NdQEBaNAFpUghJNRlIuHcEVU+/C3eMl3umoX0o/fen7Pv7VqLT46jMLiN/\nyyn0h+6UawgBBaXSpkSGSqGAm6Hv+hbA49hchqoqB2XlNjImtyneBIdYGDshmu3by7rVsek/MZEN\n/zlA1u5i0kZE42h28eGfdzFkehccEYDTJXht2cek/51KaHIYVbmVrP/dWpz+vtAz6trW8vZC3D+L\n+teX0VLVgNc5B6d8/VHU5Bj0y9WVe5lgxmjEjEtsVM5jNCC+MZOWY7lUnSpDBPhBv2Ss0f7tNnre\nvaLg871tx+m6jB4LgaK2v9EVgyoNwnkGp+IM9CPzYDaKy427XxoMOFeOk1eM+vEGwvtFoShQvnYX\n2l0Tpf69Bw/dyM6dZYzLiGl1agAmTo3lvx7bSHV1C6Gh3edQP/bNXvzwp/tJ7B9OSKQf5WfqWPfW\nEb79q64Nl1U37SOsuY7xr8zHy99C/uZT7HlrFdqT8689UxEbjj5qIOXrjuI/IB7VZEB3a1RszERP\n7Xn548KCWpt2L5t/DglAPDaXxkPZNJ2qRPROQqk9indKe5VFa69o7Dllbeu4tXORYwWlgznraE+0\nu26j7kgOB9fnIcxmtLsmQbwsT1Y278dw4AQx6bHU5zbQsGEP2jdmQUCH2noPHq6TLVtLuWNuUqtT\nAzB7XjK//smObj2PyaQyf0ESn764i3k/GYvZYuTI5gJOZ5Zzxx3XXiYvhMCweA19xifQ79kp6G6d\nvf/ZTeHnW3DPm3r1BToyZiBKXhEVa48SeacMnDqrG6k/XACPzL78cWkJiLQEeU2Xe8+AZERYILVH\nToHbBhOGoq7f2+rUAKgmI+aEHjgqL3BsnG7Q9dYAyXkUVZUnO39CqwXtm3Mo3HuckuXZaMGBiG/O\ngUA/cLoxLF6NxWmnR+9wSpcewRURhjbnts4pun7N8Tg2l8Hf34yiKJSebSYqRj6YhBDk5tQRF9en\nW8/lF2xl4a8m8+7vtqJrOo5mF/3GJzDt0WFdWs946ASD5w8hNFnWm4cmhzFk3mD27zyB+1odG4Ae\nwYhJw8n+7Sf49o7GWduMs6kF8Y2ZXbq+9hdrgMGpiPN9MYdOYsvOI2DigFbnxn7yrGzW0wVsO4Sy\n5xjC6Ub4WDiz9ABpT05BNRlpqW6ibMsJuGdK+3P0jELr+Lk1HcOyzUz66RQi+svvlWeVsf7369C+\nv+jSkdbTJRiz8gBw902ChC78LD18LYmJ8eXUyVqEEK2/1yXFzaiqgp9f99bFz53bk5xTDfzhwU/w\n8fOisdHJPU+kM2B0F5QGhYADJxjz4ly8g2S9efKkVPJ3F1B2ouCirEmnGD0AR3kVx3+xGJ+USJpz\ny9CjwtqXgnQVPyuMH9K2WckvxpZzFnNUW+lp88liRHi4LBdZtQORXSA3G1YvStYdI2qqtD21Rwtx\nVDZAfGTb+gYVhvTG3VEFraQS05GTzHn5Xiz+0kk9+O4+TmzYg3b3pIuv063BsVxMhSVovj7og3u3\njxh78HAF4mJ9OZXdfo5TbnYtsbHd70S//NfRPPTIVn5x+7t4WU0E+BlZvmxal5TR9uypwEvRGDh/\niLSDXjDy0dGceeRdaLTJ+/caEbMzqHhnJXXHizAH+9GUXYzIGAohAde81kVEhrZlpt0aYs1unGW1\nmCOkE6M73bQUlMP44XC2UtqTsmowGqgTgqaCSnwTwhC6TuHS/ahpCegXOiY+3jBxKB0L8pTdRwkP\nMTPpp7NQVAXNpbHyf5dTeyz30ja3yY5y8ATG2npc4aGyz/hrXB7rcWwug5eXgSe/04fvPrKB//3t\nSIKCLfz75aP4eBsYNy7y6gtcI8lDo/nx+wuoKWnA6u+F1b/rEVylxdn6cD2PJcAbpeU66uOH9UH0\nTqAxvxhSvSA55saUWfRLwrknk4q3NuKbnoSztJb6zcdktHb3Mcz5hcQ8fRemYF8a9udS/tFO9j39\nHpbwQOwlNYjx6RfV1F6Ssmosfl6tTg1AeJ8IvIOtNJVWXTRwVNl5FO9Dxxk1ty8I2PXxZuzp/eTc\nHQ8ersKECZFYLQZ+8aPtfPPJAdTWOPjN/+ziqSf74uXVvfeRoij8z88G8V/f70dxcRN7m3wxe3XR\n1AvQW1x4dbAn3gHeXe+3MaiIeyajlVbRUFYNA/t17p7tAmLcEOreWo5ud0ohgSMFOIqrYfp4lA/X\n4R8VSI/f3g8KlH20k+IVhyndko1qNuJscCDundI5O3eqiKRxSe3sbtqsfmQtX3zxe3Ud0wdrCDFr\nDJmaQmVRHYde/wz3wukQfWN+Dh6+WjzxRBrDR3xGTLwfk6fHc3BfOc//eh8ffdT9Ywx8fU189MEk\nKivtNDS4SEz063LpbEODCy8/73bHG8wGDBYjmtN1hSOvQIAv4vF7aDldQktjM0wYIbMe3Y3RgMhI\np/QfqwmaOgjVYqZuSyYkxYLVgvLGMiLmjsI/PQlXTROFr64i8/nlWCKCcDXY0P390O+dcvXzAMb8\nIvo+PLS1IsVgMtBnRhp7NhXi7ujY1DVhfGMpvUfFkjA5iqwdZyj8Tzbuh2a3ChV83fA4Nlfg2WeH\nEhx8jP/57hYam1zceUc8q1fPaJf+7U5UVSE05vqjDK6kODKXHyc6PQ6DyYDm0shcfhxXcuL1LVxc\njrL9sKxLDfJDTBzW/QMsTUbEQ3dg23cc+5YTCH8feOB2CA9G+WwTkY9MwnyuHC5geC+ackpoNFux\nJcbIrE5ne2S8vXA2OtDdeqvKka7pOBscUprxQuwtqNsP8si/7yEgXEbE0ib05NVvfYw2uPfX1nh4\n6DyqqrBmzQx+/vP9fGP2cvx8TTz2WBrf/36/G3ZOq9VIr16BHD5+HYuoCsbUWLI+z2TgvYMBaK5q\nomhPATwy6MrHXgldh+wC2HscWpwo8ZGyv6azMqqdJTwY8fCd1O/NpCE/CxEVJktUbA6Uihoivjuj\nVbkxatF4cn7xHq4Jw2TkOCqs88Ebby+aa+vavWSvlcpKF3GqCD/NwcMvzEE9d+4e8YGsW7oP532z\nLn6/Bw8d6NnTn7VrZvLzX+znpT8cICUlkHfemXhDgq7nCQvzJizsEmqC18CYMeE0FNdQlVvZWlFS\nuPs0usF4fRlLewvK4WxE9hlQFJR+SYhpo7r/2TysD3qQPzXnBn6Lgb1hYArsP4FPWgwB56TmzaH+\nxDwymYJXV2PPGA7eFlmq1kmHUFi8sNe2F4Kw1djQO+5NAMPOw6RPS2HyY8MBGDg9lSW/XE/uwWwY\n/fUMvHocmyugqgo//OEAfvjDW+yXIz2N2oKzfPzkB/ToE0lFVimusJDrGyJXVI6ycjsRD07CkhxJ\nS345ZW9uQPfxvva+nathMcO4wRfXvjqcGP3aG1aTvxWqHKhbD6AXlKEG+qKPHghD065sRIL9EWHB\n7HltJ+nfGA4KHHpvP3qQv5yHcyGVtQRGB7Y6NQAB4X4ERAZQU1l7UXbHg4dLERxs4ZVXxvLKK2O/\n7Eu5JtxTx5D57goK9xfhE+pD6eFi9PFDrm8jsu0w5qISwn98F8ZAHxp2n6TmnZWIJ+d1/2YkNBBm\njm1vT2obUX0srU4N0Kr46CqvRt24D72mATW2B/qkEa19NJelbxJn/36QvM059ByXTHNlEzv+vh09\n/RJly2cr6DsmrtWpAeg1OoHVf9t9fZ/Tw9eKwYNDWbF8+pd9GdeEj48J7Y4JrP7lSnr0jURzatTk\nVaEtmNb1xnghUD5Yi19iD4J/ez/CrVO1dDe2pZsR87vQt3M1kmMQyR3Keu0tci9yAUZ/q3S4cgrh\n0EmEy43aOx592uirlty5h/Rh/7s7CIgJJDgxlLJjJRxbdgx9wcX/38bSStLub9/L3HdcPIUrznAd\nNTq3NJ4upK8iBhXt3ik4bhvJ2YIGXC0aSpNNRki7iHLgBEGTB+GdEoWiKFiSIgiePgTlQFb3XffV\nSI6lZktb+FlrdlC3Jwfl5Glix/Vi0EuP0Os7UzAfOA6Hc666nPvuSeSXOlny8NsseehtcgttuOde\nIlUc6Ed9ST0ttjYz0dLspKGs4cakvD14uJkI8kN7Yh610TGUna4FkwG1sBTKqq9+7GVQ9h2nx4Lx\nmEL9UYwGAsb2wSuhB5y4TknqzhIRgmZroTmnpPUlW14ZrupGjMdzSf5mBoNefoS4qf1QPlgLNQ1X\nXs/HgrZgOns+zeLdBa+z9EefUh8dgxh9icGgwQEUHK9s91JJdgWGEE+PjYevAb0T0J+cR5nTRG1x\nnbQnmbmXlGDvFGXVKE02QmaPRLWYMfhaCJs3Fs6USrXDL4KUOOoP5OFutLe+VLMlEzXAF9/Gevr8\n4m4G/PEbhEb7ob636uojOHrF4Rg9hNW/Xcc7815n09+24545TmaRO6AH+VOc3d6eFJ6oxBXYDT1G\ntyiejM1XlRYXhrW76DWpF4kTMmgoqWPvP7bR4nTD4C40/NodUkLxAowBPlDX2E0XfHXE5BHUvb0C\nW34Z5rAAmrOK0MMCCYoKIGSMFB+wxoUSv2gMee/vQh+ceuUFrRa0u26DO+RcCu1yZSf+PtAnkXd/\ntoaJDw4BIdj45iHom9SlZkcPHm45iiswHjjOsEdGEZISztn9BRx9aznat+7qUuZG2FsusicmP28c\n9U3ddcVXxqAiZmdQ/No6vJMjQVGwnypBDfYn7s7B+CbJLGzwsCSaC6uoPJgNk4dfec3oMNyPzJEl\nKgb1kjL4APRNpHTnIVa8uJ3B03tRc7aBNX/fg3PKmG7+kB483Jwo+47j11jH0O9PxMvPi6ylRyh+\nZ4W0J9eaubG3YPC3tlNIVU1GVLMRzeZoPzvvRhEVij4olbzffohv3zicVQ201NlQmu30/NlsjOfk\nqKPvGk7d0SKchWWQcJWywcGpaIN6gUvDbTJc9ufiGjmQzW+uRFUVYvqEc2p3Icc25iG+dXd3f8pb\nBo9j81UlM4+w5DAGzJcSiL4R/ox6KoPtz6/DHezXXunncggBdU1gNiKSYqnffAyf/gkoBhWh69Rv\nO46orJcD7L4ICUI/K+Lbc2nJLZJNgsMGwaFsLCHtS1fMwb6IZkfn1+1EHb17xhhK92bx0cv7AHCm\nJcPw7lXH8+DhZsW45yiDFg0jboyUSu81sz9N5Y3kvbkM/bG5Ut3narg1qG8CPytKfCT1WzIJmir7\ndrRGO82H87/Yss6kGMR3F2DLOSNV0aaNQ3nzc8wh7bOwlhBflKqqy8vCdsR0lceqyYj7gTs5tuMQ\nWf+3DXytOGdOkIIsHjx81XFrKHuPM/75ufiEyfLuEd+ZQNWTi7EtWYuYN7VtLtSVsLfIP1GhuEtr\naCmuwitGKpjZsovRHU4or4GIL2jg5cShiP7JNBaUQmIChIegvPYZBmvb/kRRFEwhvjht9suvcyGK\nAuar2JOoUNyLZrBp8xGUj0+gR4TifvDOL8ahu0npFsdGUZTpwIvI0rbXhBDPdce6Hq6D+iZCerZv\nxA2IDUIB1E82on9v4ZWdkdIqlM82o9jsCLeGiAzBWV5H8XMfYUmJwpFXiuprxRDih1Zc3jlHqTsw\nqJAa3/Z1YgxV63bSY3J/DF5SNrdy2wlIir7MAl1EVWFkP5wjb1yztweJx57chNQ3ERjX3p4E9QzF\nN7OEpvV70GdnXPn4QydRNuxFNRvR7S2IsGDqNx3FnluCMcgPW+YZfEb2pnH79SgddAFvr3aDi/XE\nGCq2niD+vrEoioLu0qjYkYMY3s19lr7eaNNGo3Xvqh4ugcee3GS0OFEAa2jbxltRFIJTeuA+WU5L\nVv6VRYk0HWX1TjiWi2oxoaMgfCyUvPQ51r7xCLeGI7cE3zF9aDpZgBh4iSGdN4rQQPkHZGDY6kX9\nkTMEDkoAoKWyAVteGcyY0L3njQrDNbf7FfFuVa7bsVEURQVeBiYBJcA+RVGWCiGyr3dtD9dBXDgF\nm/eQNmcQBpPMSJzZkU9IWgQN5U3YSiovHx11uVHeW03U3SMIGJaMcGkUvb2ZplJB4F1jcJXXEti/\nJ+akSEqf+xCM1/lr1NAM2w9DcQUE+Uklj87KniZF4z4RwfFnPiJwYDy2klrslU2IB2+/vmvy8KXg\nsSc3J3psBAXbThGSIu9LIQRFO/OIGZNM9meH4Qqz8CgqR928n57fm4UlOhhXbRO5f1yKOSUKn4GJ\naE0OemQMQDGoNO7uhv/monLYeVRmh+IiYOxA8O1kyei4wdS9tRz788vxjQ+l7lgh7rAQ6HOF4aEe\nblo89uQmxGoBHwvlR88SMVBmKVsaHZQfO0vK7QPIzjyNdiXHZutBLI0NxD27AKOPheacEs78cy0B\nM4dLMRCDSuA947AfzofK6+yxEUL26x45BZoGfRNhWN/OVagoCvrt4zn91lr89uZhtJqpO5CPmDS8\ncxluD12mO+qHhgOnhBBnhBAuYDFXfsx5+CJIisVh9WHNjz8ie+kR9r66hROfHqLv/GG47S4wX2Eo\nYG4xXhGBBA5PQVEUVLORmEXjUXQhIyGj0vBKjKRpSyZCUSEqtO1Ypwtyi6WTIjpRvGFzwGtLwWhA\nmTlaZn7eXS03J51BURC3j8M95zaqDD7YeiVBYjTqvz9F/ev7KFsOyFI5D7cKHntyE6KPGcTp7fls\ne24NJz8/yqZnltPS7CRiYAzKVUollMMnCZ3YD0u0zPiYgnyJmD2UlhNFKF5mfMf0weBnpWbpbhjU\noS+uoRlyCq/evH+e0yWweC0kxUh7IgS8tqzzM3esFvRH78Y+pB+VijeuUYNQNA3lT++g/utTyMrv\n3DoebhY89uRmQ1HQpo1m+/PrOPj6To5/dJB1P/uUhEm9UU0GMF15YLFyJIeouSMx+sjRDj69ovCO\n70HjlmNYekXjOzwVvdlB/cYjiAuysQghBU9OFXVeqGDjftiTiTK6P0pGOmSfgWVbOv9Z4yIQT86j\nITKKGmsgesZQDIdOovzxLdTFa2SpnIdupztK0aKBogu+LkYaEw9fJqqCtnA6za9+SOHu00QOjee2\n393F6Y0n0c5rql8OtxvVq71xUUwGhK7TlFtG0453QFUQ/r4wtA+UVEnn5uS5mz4sCJodsndl4TQI\nuMI05EMnISESddpIeZ7YcITRgNh2CBZ1UspSUWT2KaYH6tsrCI7wJfand6A73eQv2U3Tmp2ImZ2U\n2LW3QEGJnGUTH3H5BmAPNwqPPbkZ8bOiPXgHpf/8BKFAXEYqYX2j2PfqVvRBV5GR1/TWMtHzmAJ9\nIcCX6o93yIneTpcMakSGyr6+AB9YvxcOZqNEhSHKqiA5Du4cf+Vo6dZDKDNGofSXvUBKbDh6YzMc\ny4VhneyJM6gyQ9NoQ/3Hx8TdMZjQx8bRXFjNqTe34VZV6J3QubWq6+VmKizoyjbXw43CY09uRpJj\n0SYOo2DHIaKGxpH+eAYGbyPbf78W7e5JVz7WrV20P/GKDsLmgtIXPkX1NqPbndAvGVxuaHHJuVlL\n1kFdo5zBV1oFU0ZC+hVsl8MJ+46jPDUP5bxIUHwE4oX3ZKCls6IpVoscP5FdgHHNTlIeHIdPXAhV\ne/MpfHsF+rfndk6ESAgoLIdmu9ybeLI+l+ULFQ/41a9+1frvjIwMMjIyvsjTf/1QVfQH7qDh8y3U\nf3aY7KVHUKLD0O6dcmXlkeRY7Ct3YD9TiXd8GEIIqjcek07HA7dDow12HYFDOZjyi3DvOCwba5sd\nGB6+HUNcOEIItE0H0Zdvg/tmXP5c1fUoMR1K4mLDYceRi9+r6TIdfLlsU1k1hvpGUn42q1UhJe2J\nyez77/dh4jBZTw+yidnmkIbhwk3S0VMYVu0gNDUcW60Nu0PHvXAGBF7BMbvF2Lx5M5s3b/6yL6Nb\n8NiTL5jQQMTC6VSs3EZl9m50lwaDeiHGD7niYaJ3AlWb9xEwNAmD1QvdrVG59ghiUCqMGgCVtbBm\nF0pFNcZMHddy2VCPpmH6wQIUby+Ey437rVWI/Vkw4gp9btV10MGeKLHhiKq6i9/rcks7eDnxkMMn\nCRmSQNRkeT5zfytJi0ZzauUx9AsdmxYnON3g691mV3WBYeU21JwzhKWGU7WuAi0uEm32xC9GaOUL\nwGNLPFwXI/rh1nWKth/m7IEihADttuGyfPRKpPWkYtUhoheNQ1EVnDVN1O/NhW/MgiB/9DMlsGI7\nhrJKlKpq3J9sBB8rxIRheljuDUR1Pa5/LZUOQmjgpc/T0AQ+3m1ODaCYjIiIEBmwuNCxEULaAJPh\nssFQdfdRkhaNJqh/LABRU/rRXFJL5eEcGHfBsONmu1zjwuG+TXaM76/CCw3fcD+qlm9Bmzi888Ga\nW4DutCfd4dicBeIu+Drm3GsXcaHx8NB5Gqtt7F+ZQ0NVM4mDI+k7LqHdcLcr4mdFWzRDbuQFcC59\ne0W8vRCzJ3D65ZV4RYegNbfgdmmI8xmU2gaUrNMEPz0P1dcboQsa399IS34pYncmIrYHiqJgGDcQ\n/XdvyvI0oxFq6sHLLAfwFZTINGxuEaKmAYaloZzbFIicQhm5PY+mw6b9sD9LKqpEhiBmjG1fOQht\ngwAAIABJREFUAgfQ0IxXeEA72UejjxcGqxm3zSENxb4s1C0HUFUpJa9nDIX0NGhoxrB6B3P+OJug\nuCCEEBxcfIhjq7bjXnhrDUG7Eh0f2s8888yXdzGXxmNPbjAF2VVsX5GHQDB6WhJJ/S6ejXBZekah\nfWeeDG54mcHrymUjAKTG4yos4+QvF+PdMxxHURUiNkI6KKoCmXmYfMwEPLYARVXRmx3U/uUTdIcT\n/UQBhiGpKCYjhnEDcW89Io9zuqGuAfx9pYNSVA6FZVJq+eQZlHMiH0IIaU8GXVCS0mhDWbEdkVsk\np5T3TkDMHNN+IwEojc34JLbf9HhHBrbNxnC5UVfvhON5srbf3xft9nGyPzAzF7+aamb/ewEmiwm3\n082K/7eKygMnYHjfzv+8b2JuAVsCnbQnHlvSNXRd8PnnZ1iz7ixRkVYeebgXUVGdV+MSowYghvVF\nb7bLYEYn9jXitmE0LFlL06+WYA4LwHGmHDFhKIQHSwdj0358bxuE90i56XedKafuXyshrxiq6qBH\nEEpIAGr/ZPQTp2HcYOlM2BwQHCADLRU1cu5ffROiqg7lnPMjbA5ZoRJ+gZDKmVKUVTsR1XWyjG5k\nf+modAweNzRjjWpvT3wiA6g63SADwzUNGJZtRpTXyKGjidFot48HqwXD+l30So9k1DdHoigKjWUN\nfPzDz3AnRkPIV2NeTXfak+5wbPYByYqixAOlwAJgYTes6wEoy6/h3z9YQa/R8YTGBrLpnSMcXHOK\ne386AW9/r1Zn4KpYO+HQXEjvBETPKBxnymSGJC6iTYLxRAHew1JRfWUqVFEVrJMG4yqqRJytQBRX\nosT2ONfbosDZSli+TWZK7C2AkFGSqnq4cxxsP4JYvA769kScrYRjefDQBc3/Ww9iLq0g5Ol7MPhb\nsR04Rc17q+DJee03IzE9aP5sEy3VTXiFyCxLw6kydE3IQZqnCvHae4Sxz9yOX3QQDUU1bP/9apyB\nflDXRPSQOILiZLmIoigMvHsAhz98Q153JyShPXQLHntyA9nwcTaL/7qPQTPTUFR47qk1zP7mQCbN\n7Y3F2gknBeQD+1qkRBUFpo5EDO+LrawaJgS0K8tSThbgMz8D5VykU/WxYBndF9fZKlzr9qIOSEYx\nGuR9aFBh73EZ6LBaoLEZUGRWVdPhjnGwfDt6fRNKRAgiM1c6Pn3PNSMLgbJkLT4pkQQ8OBF0Qe3y\nPdg/3dQWuDmHiIukfPcxIib2RTXKa6vcdQpxTgFSXb+HUMXB0JcXYbKaObs7j4Ovr0F/aj7GnAIG\nzu6LySJ/pkazkcFzB7Dp/UxcXxHH5hbBY09uEEII7pm3gQPH60mdmMLBffX8+cVP+OyTyYwY0QOz\nuZPPTKPhyuXqHfH2Qjx4O1pJFfbGZrgjo60sq6EZpb4Jy/C01reb4sMxxYZBoC/a5oMY550rdXO7\n5d+fbZZOjMULHC1Srl1VIS4cJqYj3lqBGNlfZmt2Z8qysvP2r74JZck6gueNw7tfAu7qBqre3ojb\ny3RRZlnER1Kx8xTxdw8DQHfrlO/JRwwbALqO4f1V9J6WRtL029E1nWPv7qF42Wa0BdMRWQUM+fGi\n1v2eX4Q/iWMTyckugDGXGAL8Nee6HRshhKYoylPAWtrkFE9c95V5AGD1P/Yy9r7BjLhb3iTD7+7H\nKw99wP/d/S6BEX7c+b1R9BoR27XFNR12HMFwPBeEQO+bhBgzqG0T72WGXnEXH2cyypr4CxAOJ4rJ\ngDG2B+6SSpSIYLQ1u+XxH22A28dCciz85X24ayLkFkFyHGr/ZESveDiYjdh3Apps8Ohd7cq/lAMn\nCH7qDoxB8jWf4anYsopwZOXLbMt5fLwRE9I5/JtPCR/dC83ppnJPLvqdGWBQMRw+SZ+5Q/CLlpsq\n/9hg0u4aRObek2jJ8Tht7RuMXQ6XnNlzrQPDPHQZjz25cThsLt790x4eemk2oXEycjhwai9eefhD\n3vvzHnoPjeLxX40jLMrvKitdhoZmlC0HUE6fRfGzog3vL1WEzhPoJ/90xGhEtLS/94TDiRrgIzMh\nDc0IowH3poPShuw4At+aI4MkH6yT9uKtFShzJqDERSCiQhH7TiC2HpIBlAdub7NpZdUoNjuBs4a3\nZnaD7xrN2WfelSpqF26w0nrScuwUh3/zGWHpCTQWVtOQX4l4+E7QBeJwDkNenI/ZVwZXYkYnc2Z7\nPpXZBWA04rS1t5FOm0uWqnj4wvDYkxvHxo0l7DlUw8OvzsV4zokJSw5lyozVGBR48MFU/vynEXh5\ndfF3vrAMw7ZDsow0MgR9fHrbTBpFgegwoEO22WhAnC9ZV9u2t3qLC6+ekbg3HpJfF5SiZ52GPonS\njvxgkVRSLKuGqSPhtaUoczJQjAZETDji8ElE9hm4bajsKz7P0VN4D0rEOkCqJprCAgi+axSVS7Yh\nOjo2E4ZS+sYymkvr8IsLofJAAU6rVfbrFZXjZTGSPKu/FGwyqgz4xgiKH38XmmwoZiNOmxOLf1uA\n2mlzgq9nFOWl6JZiXyHEaiFEqhAiRQjx++5Y04PkTGY5fTPaNgcGo8qAKSkMndufiY+PYvGvN1FZ\neIn68U6grtyGf1kJAx+bwMAnJhJQXYl6XvGjoRmO58sSj47qZgOSse/LwXW6DAC90UbTyj2Y0lNx\nny5F33QA1x/fRW+0Q1KMLBlL6ymV0gJ85Ws2B0qAjHooXiaUUf1Rpo6QzlSHnhbhcGLo0Fxn8PO+\ntNLRyP5oi2ZSYjdQjhX9W3e1zr1RXC5M1g7DPH28UFwuSI2j8lQledvyEELgtDnZ/o+dsgn5K1IT\nf6vgsSc3huK8WgIjfFudGoCgKH/Ck0KY++vpBKdG8n9PrEbXOz2Ksg2XG/XNz4nu4UX6j2fQ567B\nmDbtgSM58vulVdKeXELdTAxOpWnFHrR6WeLlKqzAsTcbU0oMotmB662VuF76UN7Hjc1SDj4kAE6c\nhsGpsvG22d7qlChB/qhTR0inKiyw/YA7hxPV17tduapiNKBYzBfbE4OKPn8qjrHpFFW5qYuKRn/8\nHnkeIRBuDaN3B1EEHzO43LgHpnLwoyPUFkrVo/qSeva+ewDXgKsILXjodjz25Mawc2c5iSMTWp0a\ngL4ZSeia4JHX57PpUANP/3Rv1xY/W4n6wVpSJiQx7GezSBwchfrOCmk/NF2WlZ04ffE96+MN8ZE0\nfb4b4XIjdB3bzuMImwOh6QibA+cL7+P+cCPMmSgzNVNHyn1HdgGMHSTFBny8ZZYYUBIiUedkQJA/\n9AhuX2LmcGL0a9/Eb/CzXnpvEuiL/vg91EVFU1TlxjE2HX3+VLm/cLoxWc3tKnBUowHFZJDltYNS\n2f6PnbQ0tSCEoHDfGYoOFrcPHHloxePu3eQEhvtSnl+Db3Dbxr4sr5r4obEkDoul/7RUDqzOYfpj\n1yj00miDEwUM+NNCjN5ys9//qcns/MF7sG4PysFsfFIiaCmrQ7NY0BdObyv7Cg2EO8dT99Y6FF1H\n6DqmtDjcheXoPlZYME2mdf2sUv/dcM7wGQ2yNl4IOfV773EY1EtGRYSQGZukS0zfTomlcVsmAVNl\nk7LWYMN2JB8emHXpzxYRcslpw+6UBHJWZhI+KBaD2YjmdHNyRSbuPqngZUZbMI1t72xl+993oLk0\nlN4JaDNHXdvP1YOHm5SQCF9qy5pw2l2Yz23IXS1uaksaCIoOIH5wNDlb8zh5qIy09GscuJuVj19k\nAMnzRwDgExVIX28Tx17bhsjKR6mowRoXSvPK7Yj+yYhpo9o2COlpaI3N1PxhiXyQqyrmISnYVuyW\nZRZ9k6RKmpcZPt54sT0BSI5B7DuBMlmWeQiHE47mwuwOg/BieuCuaqDlTAVe8XImj/1EIUIT0gnq\niHpuIPCFQ4FBZoBTYsn5/Ch97k0HoKmsnvKDZ+DRoRDoS8vowXz2sxUYjCqa040+djCkJVzbz9WD\nh5uUuDhfate0lz8vz6smINwPnyArt313HK8/9gEv/mkkqnptVQ/qnmMkzh5CxFjZGxczpR8tdTaK\ntx2EM2WY/bww+liwLduKuHO8DJyeZ/YEHJ9uwvGrN1EMBtRAX0yDkrGv3Qd3T5Kz8oL9pUOh6R3s\niQviQ8HegjhTinKu7FSUVEJdI0R1yBClxNG0bDN+4/uhenshhKBhWyYi5TJVNBZz+4zPeeIjaPys\nhuqTZYSkSvGEwm2nEFYLBPqhZwylfM1O3n3kPQxmI8JiRrtnskcZ7TJ4HJubnHHz+7PsD1uY+V9j\nCY0N4PDaU5TmVDH9xxkAWAO9sVd2csbDhTQ0Yw72bXVqAAxmI15hfjgOn6TvM/diCrAihODMO9uo\n3bgPMesCyeTeCdArDnHoJBzPx1XVKMtE7hjQvqE4JRZW7ZTZmugegIBdx6Sax4nTiJeWSCNQWi27\n+adfwpGYNorGt1ZgP1mMMdgPx4lCxKiBMnpyLQzpTWNRKau/t4SglHBqc8rQeka3NRZH98D92FyZ\nrTKbLmom9uDhViYozMrA0TEs/vkaJn1LlmJtfmM/CekxBITLEjFroDe2xk7OfLmQuib849oHE3zj\nQtBrGvEN9yf5twtQDCqa3cmJ55bizClscxZUBW4bBiP7I3YehYISWoqrYfRA6J/cPkLaJxE27pNy\nzANS5AystASYNBze+By9oEQ29uYUShsV30FhyWSE2ROo+OcqvJKjQNNpKSiHeVOuWdpdmzGGvPdW\ncXb/GbyDfajJLkWfMrIt45yehjawF1qTTW5ATJ7HrYevDvfem8jPfr6f9X/fzaCZvaktaWDlX3cw\n5n7p6Hv7e9Hi0HC79c7325xDqW/ENy6t3Wt+cSGoO04ROW0gPW6TZV62wipOvrAckRDV9ry2WqQS\na3kNYtdRtIpatPJ6WDgdYjoM/u6TCFsPylL5QamwYa8MzM4ej3hvDaJnlLxvc4qk1HzHezg+Ar13\nT0p+9wGW3rG4ymvRXDrcP/OaPi9mE/qciex4bg0BiWFoTjdN5Y0yoHxOuVGbNQ4mjUBvccoeH0+J\n/GXxWNqbmOY6B1vePYLV38LaV3bRXOdANSjc9+JsvKxmWpqdHF2dzZ3f60JWISyQlpommkvq8Dmn\n1GGvbMBeWkvI2DRMATJDpCgKkdMHUfvcMpjVYRaMqsoel/S0jqu3YbXAnAnw7io5y8GtwfbDsO2Q\n1JYPCQSrt1QmSY69dNlXoB/iyXm4ThXianbAmPTOa8hfiEFFu3sSWnkNFRU1MGzIxc6RolxbI6MH\nD7cIJw6UcnRXMUGRfiz5f2tx2l34h/vxwEtTASjPraLsVBV9hl1jtgYgNpyKtTvoeVe6HLIHVOzN\nR/U2EzF1oOyVAQzeZsIz+lCcfRrRMQtitcDkq2See8dDcTn8dYkscXVr8N4aWW7mcMpscrC/3Jx0\nVE08T2o8fHc+LTmF0obdOVFGUq+VAF+0b8+luaCUZnsLTB5/cQTVaLh0X5EHD7c4L/z5GHa7m9MH\nz3JodQ6aW6f/tF70myIDhYeWHmdcRvQ1OzUAekw45XvyCEw9lzERgrI9+WhNDsImtGU8rHGh+CRF\n0JRXDP2S2i8SHgxzMq58osnD5Xybvy6Rz/2qenj5A+kkqQZZeRIVJmfeXGrWzHlhlMGp2AvLIDUJ\nkqK7Nv8uJQ79+wupzT8rs0iJ0ReLFlnMXbNVXzM8js1NzJb3DhPbL5w5T48HQNd0/vXUMpb893Li\nB0eTt6cQbz8vFj+7UdbND0qH5EuUcl0KswkxeQQHf/850RlSavns5hOIntEIt9burZrdiWI20oXK\ne0looJRAbLLJGtaUWFkKpypS4rEzGK5hKN7VCA9uL9fowcNXHCEE//7NDmY/PZ4+42XZRmO1jRcW\nLubDn63AGmAhf38x/sHePDltMX2HR0Hv4Z0PIPSMwhUazL5fLyVqdDLN5Q1U7MtH+Puid6g3d9ud\n15e9aC1XFTB9NIQGyKGePhZZrtYZrJb2EtBdRVXlBsSDh68RhYVN/OH5o3znP/fiFyKf4VnbCvj4\n/zbhrLPRVG2jqrAWs9lARPS7fOO+ZH79TDre3p2778WogZT/ZyktL68nODWCyiNFNFbLPYPucmMw\ntN3n2vXYE4MBBveC4koI9IH5U+Rr53v2OttfGxYk/1wvXub2ZXUeuoSnK/omJu9gCUNmpLZ+rRpU\nht2ZRkTPYKISpHb5sIVDePBf8xh09wDMyzbJWQ6dZUhvtIUzKKx2U1jpwj1vGkwfQ82+PBpOFCOE\nwNVgp/CDXeiDUq++3qXYl4Xyn2VYWux46W74bJMsE8kukCokJ06fk4X24MHDjaKxroXq0ibSxiW0\nvuYXYiVtdBx9+oUQEWrGP8yX236QwaK/zcUUGYzxrc9lI21nUBT0uydhHzWE/NONlClW9MfmIob3\no+jTfbRUNwJgO1NJ+YZMxMAu2BNdhw/Xo67eibcJjBXVUhWtpAqO5cpMcEnlta/rwYOHa2Lr1lJS\nhka3OjUAaWPjMSgK35oTQahVEDMgitt/czvTn5nJyt313P/Qls6fwNcb/dG7qQmLIO9UHfWJPdEf\nmY2SGk/hkl1oDhdC16nclo2jqvHSvblXo6EZ/v4Rpqw8vH2MqIdOwqodcLYCDpyAXUfbZlZ5uKXw\nZGy+ZOrKm1jx8i5O7CzE4mNi+B1pTHo4HYNRxT/ESnVxPXH92iZpVxfXE5EUTFOtg4F39KXvubRv\nypie2OocbN2Uietqk3svJDIUIkPbZWPE3beR/9Z2cLkQLk0qD43uglZ6sx027CX4B3djOBf5te8/\nSePHG/HqHYs5OgTbjsNoB7Nl6YhHfcyDh+ti48az/OjpvRw7UkXP5AB+80w6Sr8kvH1MKIrM0viH\nSjVCIQQ1Zxu4c1Ea/3x2O5N/kEFUH2lrRiwaQtHJKgqP58GQTip5qQqkJSAubJAfmIKrsZms33yC\najKgCwUxZdQ5qdZrJOs0hsYmgn9wd6tiUe1rq3G9vQLr8FQUswnb4jWIkQOkcpoHDx66jBCCP7+Y\nyfN/OkpluY2xE6J46cVR9OsXTGSklZrieoQQrUpejdU2DAaYPDmaXzxziAffuL1VMW3y07fxxgPv\nUlzcBHSy1NtihhH92u9NZo2jfvlWjv7kHTn3KsgfsWhG1+bMbdqH98BE/GbK8lffqelU/W4xSnEF\n1mG90OobsP/9Y1g4DWLDr7KYh5sJj2PzJeJ267z2wxWMmJbEo89MoLHWzju/287qf+xl1pMjGXNv\nf5b8dhPWAAtx/cLJ3nGGfcuy+c6rs1n1j73Ej2rfCBccG4DSmHP9F5Yci/7UfCmt6u0lG+m7QmEZ\npoSIVqcGwJVfis+YPvjPOqeelDGQqlc+x52VLxuFPXjw0CWOH6/hnnkbWPDTcTz+ahy5h8v57g82\n8eivvBg4JoZJ96Tx0bMbmfn90Vj9LexYchRFCPoOj6Kuspng2PaqYD3iAimsuM6IpaIgxg2WMuzN\nDlmn3tUAxumzeKentDo1QtPRSqoI+dYMzD1lMMdnVBoVz38khQV8PYpBHjx0lZdfPs7L/8rhsT9N\np0dsADs/P8ltk1eQnXUvEydG4WOCNa/sZvS8AdgaHKx9eSePPppGdXULwZF+7WSgTV5GAsN9KS21\n0WnH5lJYzOj3TJaqZW7t0n0vnSW/BO/H25RVtcp6EDphP5yHek5UySs5ivo1uxDfmtP183j4wvGE\nyL9E1q0rxi/AwpwnhmL1MxMW7ceoWSns+jiTzC2nSRwcyV0/GsvG/xzg+XnvcXh1Dg89N43Q2AAS\nB0WSvSkXcW7mhBCCzHWncMVGypKN0iqorL14Bk1nUc810XfVqQHw8UaraUBccA2u/FK8h7bVtisG\nFeugJDhzDSV010p5Dcra3agrt0v9+67+TDx4uIl55dUTTLi3L+mTemI0GYhPCyV1RAxvPLeTguwq\nFv3XMIaNj+H9/1nD3x75CENLCz//5wxUVSFtaBRZG061ruVyuDmx9TQkRMlytOKK6yvLMBmlWtj1\nZGV9rLjPlbQBaLVNAK1ODYAh0BdTfLgUGLgRCAEnz6Cu2Iayfi9UdW2GmAcPNzsv/OU4C382jthe\nIXh5G+k3JhafICtPPLGdyko7G9fPJN6rhX988yM++X9ruG92NH/4/TAGDQqhqqie6sLa1rUq86tp\nrGymX79gaUeKKzpf5nopvL2uz6kBFB9vtAvsifN0KZbeca1ODYBlYKKUeu7Qd9xttLhgXxbq8q2y\n9M3ecmPO8zXDk7H5EqmocBASJaMXLXY3f/neKhw2F+Pv7cuWdw6x46NMHv7jDPqMTbjo2OF39Obo\nxnw++PEyEobGcvZ4GcXFzYgpozC+8gFeJgV3ixvNx4p77pSLhl4C8iF9pgxOFcqmtQEpF7/P5pDT\neAP9rl2JLDYc3WSicdkufG8bhN7iQrh13OW1mMLbGu1c5bXgf4OUyI7nY1y9g6QpaZi8vclds52W\n1ETEpGuc++PBw01OeYWD4P6yxKskv5YXnlhBfJ8wUtKj+N0Tq5l4VyoLvjeMux8bfNGxD/x4BM88\nspzKnAr8Iv3J3ZqPIyocpaoW9YO1+PTww1bZiOidgDZz3KUdFLcGWfkopVWI0EDol9xe+h3kgL26\nRjlnymq5eI0rMTgVx78+xRQVglf/nmiVdei2FvRmB6qPXEvoOlpF3Q1TNlRXbsdSUkbypN7Y6+zk\nv7EM7a7bulbj78HDTUx1pZ3QKKnot+PzHD54YRcDJyRQUO8mNe1DPlwyiXfezLjoOF9flb+8OIof\n/Ohzek1MQQhBzqZc/vLnkTz6+HaMH5/BGuZHc2Uj2m3DL6+q2mSHo6dQmmxSdjkpVgZcz6MLKK0E\nty5lnK8xaCJG9qPx0x2oCzIwRAThrqjDXVLd7j1aVYO0UzeiTN7hxPDGMoKj/IgZEktZVhkV/zqO\n9vDs63bavu4o4guKXiuKIrp+rm9367XcLBQWNpHW/2Oe+eAe9q7JI3t/CY8/Pw1VVdB1wT+eXktM\n/0jGL7h0vbjm1jm+rYCzJ6voER/Ih3o8hlc/YtITo0gam4jQBfuXHOLwzrO4H7zjouOV9XswZ+eT\nkNELe72d4p356PdOllFagF3HULYewBoTgqOsDhEfiT5n4rXVszbbYd0eKRJgNEJ8BMrZCgLnjsUU\nHYr9SD6NGw/Dt+d2/82s6Rheep9xP5pMSC9ZI9vS6GDV95egPXr3LS3DKn75j25ZR1EUhBC3nCC+\nx55czGuvZfPnf57iey/P4sXvrmLA+Hgy5sl5D011Dn6z8EN+/q9ZxKVcWhGwsc7B9hW51FXZ6Dci\nmt/sMWH+cC1zn7uDwOgAXHYXy3+9lvIe0Yixg9of7HRheHsFfj4GoobEUXGijNriOrSH7pQSyG4N\n9bNNKGdKsUQEYiuuRoxPh1H9r+1DFlegrN+DKK5ACfJHBPhgQifg9pEoZiONGw7RUmtD3D+z++c8\nlFVjWryamX+Zh9EiHbbSQ4XsfWMP7m/fc0vPlegOe+KxJV8t7pq7DiUyhInz+vHT29/j6dfnEJEg\ny1Wz957lw99tobBgAYbLbPqzs+tYsiQPVVWYPz+RJR+c5s1lpUz8yRRMFhN1Z+v4+CfLcc6fLnt9\nL6S8BvWdFUQOjsM/0p+C7bm0hIbI/YeiQE0D6pI1GBGoZiPOBjv63ElwLf3FAAezYccRqG+C2HCU\n+ia8+yXgM6YPeoONuk93oPVNloOCu5vth4lsqmLUf01q7VM6+PoOChoNiKkju/98XyBftj3xZGy+\nROLifJl4/2CeXfgJVj8zd31vROuEXlVVGDO7NxuWHL+sY2MwqgyYmMiAiYkAfPjPYvzDfEgaK79W\nVIUh9w7i8NJjMv3r79N2cFUdhiM53PbCPMy+crBVxIAYDry3E+2xuXC2EuOeowz59T1YQnzRXRqZ\nf1tH3fbDkJHe+Q/p4y215C/QkxfZBdStPYSoa5RNeQ/cfmWnxuWG3ZkY8goRXmb0IWltw/3sLZBb\nJJ2t5Nj2so+NNlQhWp0aAC8/C8GpkVSerbylHRsPHjpy//0pfPhxAf9330cU5tbxxAvTW7/nG2hh\n4ISeHNt99rKOjV+ghRn39Wv9Wnl9N/1npBEYLRUYTd4mRt0/lOUvbMPV0bE5mE1QiIXR/z0NRVFI\nuWMgh/69jaKdRxFTRsD2w/gb3PT70yJUkwFHdRMHf7MUd2z4xUPzrkRMD8RDMkgjADQd144jVL+9\nAdxuRFpPmD/myk5GbSPKriOopVXooYHnhv2eyyBX1ckymUA/OdzzwnWKKwgfGNPq1ABEDIpFq14H\nTvfF2SkPHm5hXnh+BOMnLOfo1jOEJwS2OjUAvYdHoysKp0410Lt34CWP7907kF/+sm2v8MbbuQz6\n9gRM5+6fwOhA+k3vzaHMXEQHx8awYQ997hlC4tS+ACTN7M/6n3yMo6AUekahfrqRhImpRE/tj6Io\n1BwpJOu1dejfX3RtgdchvduJo4hGG7ZN+7C9vAzF2wsxrC8MvcKcPoDTJaj7MlGa7GgJUTBqgCyV\nEwLOlEop+thwCAlod5ixpIK4qcmtTg1A7MieFL25D3fnP4GHS+DpsfmSGbdgAI++dAdefl5UlzS2\n+15VSSO+QdfYANvhga4ooKBc3FdSWEbYgJhWpwYgYkg8enUDtLhQjucRnZGGJUSWdKgmAz1np2PI\nyr+267kUvRNkM96P74f5U9s2FZdCCNTFawioLKfX3UNIHJ+Mad1OKceYXYD60mKC8vLwP5qF+tf3\n28u9Wi1oTjf2mrbeAKHrNBRWQ5DHqfHw1cJsNrBy+TT+9bdR+PiZqSltb09qShsJCO68PVEQ7R66\nIIMlXGKilbG4jPixHR7SY5IxFMveOUNWHj1ntw3vtIT4EpWRhnI8r9PXc0kMKowfjPjufMQP7pNz\nba40y6ahGeU/S4kINdN70Uiiewaivvk5VMg+PMObnxNaWoxl7XbUN5bJoZ/nCfKj9nQT4i5YAAAg\nAElEQVRVu57BxrN1qBYzmLqgyuTBw/9n777Do7quxe9/zzSNeu+9oQpIoveO6TbYBuPYjp3E1ym/\nxM7NvXESx7ETO8XOm9wkjtNdwcYNm2JMB9GLQIBEEQgkIQn1XkajmTnnvH8cEAiwEUJCCO3P8/gJ\nGjTnbClo6ey9117rDhYd7cHpvMU8vjiSpupWFOXyv3urxU5rYzu+vk5fcYVrdXVTUykqJ3zc5WJC\nepOBsJHRHRMFqb6J0BmpHfHGZ2gEZn8P7e9vhbsLLJgEP3oE9bsPwojkrx50XhH6z7YRNSKCQYtH\n4GNrQbfsc2htQ/fWGsyb9uBXXor+rdVIm/d3eg6TvdypK6zpdLn6ghpUr240Hxc6ETs2d4CASC/m\nfX8sy362kYAITxJGhHI66wIb3z7CI7+e2fULRQbTtLqZwn1FRI+JQlVVjqzM0fLdr84593CjKaeh\nU7lGS3UzklGPajSg6iQUpXN/GVVWOue43khlHRw9jWSzo8ZFaLssN3p/aRVS9ikkaztKXAR4e2Bo\naSXx2Qe08o6Ac7AXJ/60AdXuYPizc/GI0c4VVOw7y8lPM1G+fTEtxGRAHZnKrlc3kfa1kRicjZxa\nk4PD2/ParW+LVWvMJVZdhX5Mp5OYMSOc//2fIbz/8g6W/HQi3oGu7Pz0FOWF9YyYGtXlaynJseSu\n3EzC1Dg8gjywWx3sW34YR1LsNZ8ru7vRWFLPlSdNmkvrUS/tEut0Wvy4giorqF2NJ6oK+SVIp4tQ\njQZIS9DO6XzlF6DCiXPoThehGvRa75yCUvyHxxC5SDtj5x6vpa5c2LwfU2Mzo19djNHVSSvG8q8d\nVO3MvpwWEh2KNVNP1t93MGh2KtYGC0eWHUAZl9a507iiQKtVW7XtThlaQbhDuLgYeO65dD5fX8rK\nP+5l1jczsLfLrPrLfubMjcDfv+sLJY8+HMvyDw4z5cczMJoNNJY3cXxDHurie675XJ2XG02l9fgm\nXE4tayiph4go0EmoqoqqgHTFj50qK12fOdnscPQMUnk1qreHtmtzo2bhVhscOonuQiWqlwfqiBR0\nO7OJe2Ii3oMjAPBICCb31c+xrMrEP8KT1CcnIUkS9tZ29r2wCltMWMd5PHV4CufeXIXZw0xQWjg1\neRWc/Owo8tfmdL6v3QHtNi37pR+nu95OYmJzh4hICeD+Zyex6m9ZlJ/bSFCMD4t+PImIlJuon27Q\nIy+eyea/bcH57SxkmwO7yYTjgetMjmJCsG5TOPbWHuJmD6a9qY2jb+9DHTVYWwVNjaNsxXoCRsbi\nGuqNw2Lj3Mos5NQulmQ+fR7d2p0ETErC6O5O5c5D2M+VoM6b0Pnzmlq1VDInEygK+k37CLlnKEYv\nFyoyT2FpteEWG9AxqQFwCfdFbWvHOdib6qPnKdt9Gt/B4QSMjCHv/f0o9c0dhQ7UycNoPuzCvncO\ngs2BnBCF+mD65QBR3YBx3Q6UyjpUBXTJUThmjet6B3NBuAP9/Ll09HqJvzy9jrpaK0PGhvGLN+bi\n1MXO3wCEBWAbk8YHP/gU92AvWiobIT4C9To9rdThyRS8uRpXfzcC08KpPV3BiY8PIy/WYo+cGse5\nlVkM/v5MDC4mWi/UUbbjFCyd3aWhSBv3YSy6QOCkJOyWdqre+wJl1jhIien8iWU12q6tnyccP4e5\nsprg6anIVjtlazJRXJ3xnNs5tdczPojyrSfwy4ig4LPD6Ix6gsfGEzV7MDV/3oJ8aWKjk5Afnk3p\n7iOU/982MDvhGDlUK7pyyYkCDFv2IzkcKCooY4eijhkiHkiEfkuSJNatmcnTP9zPC/etwGjS89ij\n8bz6ys0V4PnZT4dy6vQO3n78PdwCPWkub0SZMgJCru1pJY8ZyqG/7yD9m+NwC/KkaPtp6orqYPZU\nrVJrgA/n12YTdW8GSBJV+87S3tgGkcE3HojNjvT2Wlx9XPBNj6K5sIr6f32K+sQC8L5it0RWtCqq\nza0Q4o9u1XY8InzwmxRPS1ENlW+sQrXZ8Yi/PPmSJAmv+EAsW0/gNjSN0+/swezvRsiEBMInJ1Bw\nphj1UqERHw+UR+dxcnc2pzacAj8v5IeuOG+kKOi2H0I6fBJJkpBcnbHPGgcxoTf1fR+IRPGA26Cu\nzsqFCxbi4z0wmzs/WLyyu+fu85OtF/9wqdyzXg+BPl/+S7XVii4zCym/GMlswpGeBCNTLn/+kdPo\nthzA6OmMvb4VUmO1h4kbVQhRVXSvf0TsI+PxSNJ+CGWrndxffIj88BxtTADZeUibD+CZEoa9xUpb\nYSWRS8fhP07rSq44ZI7+9AMAMn67BN3F8zNNZ8rJ+9N6JAnCpyRi9nGjdNcZ3CN9qTx8HuV7S7rW\nw8IhY3j9Q8YtHcqQOUnYrQ62vr6HwgZw3Dvlxu/vQ6J4wMCNJ8XFLbS1ORg0yPOaVLHr+ehE9+6z\n5JOLf7DaoKpO2/X9qmpjZdXodxyG8hokPy8cEzIg+mIhEllBt2EPHD+H0dsVe2MbyvRRWvPfG6lt\nRPfWaoa8/BD6i6VYW85Vkv+vrSg/eEjbLVEUpNWZ6Esq8EgMpaWgEkdjK0NeWozJU9s1slyo48Rv\nV+OdEcWgb17++T7/8X6qdpzCYDYSOSMF2eagZHseIZMTKckuRf7Wwq59w8pqMH6wnvtemEFIchAN\nZY189sImmkamw5A7u0dXXx/27UsDOZbIssLp0414eZkICXG98Rt6gPTDFmhqgQAfrQnnlzmWj+Fg\nLmqLBTUqBGXKyMtVW5ta0a3cglTfjM6oR9bpteIBN9rFBTh4AveSEuK/d09H/Lyw5hCVFRbU+RO1\nz2m2oFu2DidXE+YADxpzizF6ujD0Vw92XKZ8Uw5lm3OJXjwav5HaLraqKBz9xcc4Giy4R/gQMiqW\npuJaqnNK8E4Np0JygakjuvZ92nMUv9JiFjw3DVcfF4qySvji95k4nlzUa1Ufe0pfxxOxY9OLZFnh\nh/+9n3feOYNfgAuN9VZ+/+oonniiC7/Mb4VOB6FdOJDrakaZO+HL/z49ASU1lvaaBq3wgGsXt52t\nNtRmC+6JIR0v6c1G3BPDaLhQpU1smi1Im/cz5LmFmAO1Q3WVmSep3pXXMbHRGfR4Dg6nrqiO3FfX\nETI5CVujhYotuZh9XUl4cATBI7UV28hpyWT+aAVqkG/XG/MVXMAz0I20+doBRSdXE9O+N45/fe09\nmGUTuzbCHaWy0sKSh7aRe7wOJ7MBD3cjH7w/hbQ0vxu/+VaYTV2rNhTij7x01vX/Tq/TYs3k4bQ3\ntYKfV+dCH1+lrBq3+JCOSQ2AW2ygVl66pU2LTccLMDc0kvryYnRGA6qicub1jVTvOk3ovAwAXEJ9\nkMwmGvIqOPNGJr5DwmnMK6P+SBGSBONfXoSTl5aOEjQ8mv0vr0GeNqprYwT0OacZdm8KIcna98or\nxJNJ3xzBxuW52O7wiY0w8OzcWc6jX89EUaGlycaECcEsXzYZD49e/r3n5Xb99hNXGxqPY2j89f/O\nwxXliXuhrgnZIYO/V5d3RXVlVfikR3VaFPJOi6LqjcyO04PSlgMEpEUQ+aD2829vtpL74se0FFXj\nFqXtMHkNDqd0Uy4F7++hraIB5wAPqnafRq/X4RzmzZifL7h4JhHOrs7m3Oc50NVFEsBw9DTTnp+K\nm6824YweGcGgCdGczD0LVxdvEToRxQN60WuvnWDnvhre2f4Q/964mFeXz+PZn2aRnV1z4zd3V7td\nW129uvmVqkJeEYZV2zCs3q5tsXaF0aBtjXZ1UgPaORWjgfbKxsu3V1Qs56sv98IpuIBHUljHpAYg\nYEIilpJaHBatSVVj3gUajxZBdT221nYKPztEU+550p+ZgaWiiaDhUR3v1TsZ8E+LRI0Jv/6YZEWr\neHTlYWCbHWf3zocfjWaDlrd76BSGL3bBgeOd3yMIfeSRRzMJSfRnxZ5HWLZjKQufTGPuvI3YbL3U\nPA6g2aI1+r3qvB02O+zPxfjJZnSb9kFt4/XffzVXZy2edHVSA+DjgaWkBvWKMbTXNGsfX+yFoztb\nTNDkpI5dXUknETxzCA055wGtgXHp2sNI7Taw2mg4X8u55bswSiqDHhqJV3xQx6QGwDPaD72LE8SE\ncF1Wm/Y1X3FuSLLZcfbo3JvHyc0JrDakzMPo1++GU0Xa2R9B6EMNDe0sXLSZbz8/jne2L2XF3q8h\nm5343v/b22v3VFWVs2cbtSph1wyoWcsO+WQz7D7a9d+5Ph5a8aGbSPVUvDxoKazu9FprUXXnNLT8\nYoJnXK4QaXQ34zcmnsacYgBkq43zK/Zo8USno+xgEYUf7CVkVDQ+g4IIHh3bMakBCBoZAybDNZXR\nOjRbtP5eV+wcqu02zFc9nzi7O2kVbTfuRbd5v5aZI1xD7Nj0orfeyefxZ0fj4aX9sosa5MPcpUm8\nuyyfjIyeX2XV7TmKtOcozl4utDVYUMelaQdbAd32LFzOnWfYwlQUh8KhlbuwDktFHX2TfSS6NBAd\n6rg08v++mfBFIzF6OFO+JReH2Xw5B9Zswt7U1ultDosNVVGozSoARaH004Mkf2MCPilh1OeVceKN\nnbiGhuMZF4jZ24Xmkno8IrWtZ1VVtcOFIyKuHc/xc+g37cPopMfe0o6akYgybSTEhFL+xS6qC2vx\nj9auk7v+FHqDjojmChJHh5KfXc75N09g//q94HqTDQUFoYdUVbVx8GAVH/7lHgxGbT1qxn3xfPHe\nSTIzy5k5s2cbRFotdowrd6AWXMDkasLmUHHMm6TldztkDMvXERToTOLsWGrO13P8rdU4Hp593Xz5\nWxbij+zlwdl/biF45lBkSzsln2VpZVUvHs5XzSZsV8UTe1MbtgYLDTnF1B46R1thFRk/noOznzsl\n2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7YY4uPZ+ayc3YH+o80YGhvxiQugJvMgckw4uspaEp4Yg96kxSwnTxeiZyRz5mQBytVN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\nJ9Pnw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I6nZxNXL6rgNmMMdRpXZ9+eDJfaTtlx5A+3BQQYAoMCycvNIzAogKGjzuerJ2fS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\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n49vZVJe2ExrjxtxVw/H0t/W3O5tZy4sP7Sbh9vG4RXnTcKqK/A+PoXZWEnPXlAF2SPXe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\nPufQoTKg418FPpeDo4HUobK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14, 14))\n", "for i, max_depth in enumerate([2, 4, None]):\n", " for j, min_samples_leaf in enumerate([1, 5, 15]):\n", " clf = DecisionTreeRegressor(max_depth=max_depth, min_samples_leaf=min_samples_leaf)\n", " clf.fit(data_x, data_y)\n", " xx, yy = get_grid(data_x)\n", " predicted = clf.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n", " \n", " plt.subplot2grid((3, 3), (i, j))\n", " plt.pcolormesh(xx, yy, predicted, cmap='summer')\n", " plt.scatter(data_x[:, 0], data_x[:, 1], c=data_y, s=30, cmap='summer')\n", " plt.title('max_depth=' + str(max_depth) + ', min_samples_leaf: ' + str(min_samples_leaf))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Можно увидеть, что увеличение глубины дерева и уменьшение количества объектов в листьях способствует гибкости модели и, как следствие, переобучению." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Основным **достоинством** решающих деревьев можно назвать возможность интерпретации:\n", "\n", "![](https://s-media-cache-ak0.pinimg.com/236x/24/26/08/2426082dc5c96040db3377762ffb411b.jpg) \n", "\n", "Основной **недостаток** — склонность к переобучению. Нужно очень тщательно подбирать параметры дерева, чтобы оно не было слишком грубым, но при этом строило хорошие предсказания. В борьбе с этим недостатком на помощь приходят случайные леса!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Случайные леса\n", "\n", "Одна из проблем: при небольших колебаниях выборки деревья могут получиться очень разными.\n" ] }, { "cell_type": "code", "execution_count": 100, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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S2LMSkjsdfGzzAfDzFNi3ARq0MfsWvQ9NekFwmPOxBQRB6SHJoLTIJArVXkWk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\nBH9ArSxI2AP/LYOBY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20, 6))\n", "for i in xrange(3):\n", " clf = DecisionTreeRegressor(random_state=42)\n", "\n", " indecies = np.random.randint(data_x.shape[0], size=(data_x.shape[0] * 0.9))\n", " clf.fit(data_x[indecies], data_y[indecies])\n", " xx, yy = get_grid(data_x)\n", " predicted = clf.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n", "\n", " plt.subplot2grid((1, 3), (0, i))\n", " plt.pcolormesh(xx, yy, predicted, cmap='winter')\n", " plt.scatter(data_x[:, 0], data_x[:, 1], c=data_y, s=30, cmap='winter')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Одно дерево — плохо. Поэтому:\n", " - построим много деревьев, усредним, тем самым сгладив шум\n", " - при этом будем строить каждое дерево на подвыборке (чтобы каждое получалось разным)\n", " - profit\n", "\n", "![](https://i.imgur.com/0ddVZxg.jpg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Однако теперь получается, что гиперпараметров становится больше:\n", " - количество деревьев (на практике чем больше — тем лучше)\n", " - число признаков\n", " \n", "\\+ все гиперпараметры решающих деревьев\n", "\n", "Реализация случайных лесов в sklearn используются *бутстреппинг* — из исходной выборки каждый раз генерируется выборка с повторениями такого же размера." ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.ensemble import RandomForestRegressor" ] }, { "cell_type": "code", "execution_count": 101, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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RELsYkWgtDaIp2HcX6vssafVnAt5DaYuVYJ8FK6PkOMG2Kwixb0n5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\ntaoBFEIYBMyOMU4sUj2SpBwxJyRJjTEnJKl02jf1h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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20, 6))\n", "for i, n in enumerate([1, 2, 10]):\n", " clf = RandomForestRegressor(n_estimators=n, random_state=42)\n", " clf.fit(data_x, data_y)\n", " xx, yy = get_grid(data_x)\n", " \n", " predicted = clf.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n", " plt.subplot2grid((1, 3), (0, i))\n", " \n", " plt.pcolormesh(xx, yy, predicted, cmap='autumn')\n", " \n", " plt.scatter(data_x[:, 0], data_x[:, 1], c=data_y, s=30, cmap='autumn')\n", " plt.title('estimators: %i' % n)\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }