{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pandas as pd\n", "import sys\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from sklearn.preprocessing import MinMaxScaler\n", "from sklearn.model_selection import KFold\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.linear_model import Ridge\n", "from sklearn.linear_model import Lasso\n", "from sklearn.preprocessing import PolynomialFeatures\n", "from sklearn.neighbors import KNeighborsRegressor\n", "from sklearn.decomposition import PCA\n", "from sklearn import tree\n", "from sklearn import ensemble\n", "sns.set(style=\"ticks\")\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#-------- fit_and_plot_dt\n", "# Fit decision tree with on given data set with given depth, and plot the data/model\n", "# Input: \n", "# fname (string containing file name)\n", "# depth (depth of tree)\n", "\n", "def fit_and_plot_dt(x, y, depth, title, ax, plot_data=True, fill=True, color='Greens'):\n", " # FIT DECISION TREE MODEL\n", " dt = tree.DecisionTreeClassifier(max_depth = depth)\n", " dt.fit(x, y)\n", "\n", " # PLOT DECISION TREE BOUNDARY\n", " ax = plot_tree_boundary(x, y, dt, title, ax, plot_data, fill, color)\n", " \n", " return ax" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#-------- plot_tree_boundary\n", "# A function that visualizes the data and the decision boundaries\n", "# Input: \n", "# x (predictors)\n", "# y (labels)\n", "# model (the classifier you want to visualize)\n", "# title (title for plot)\n", "# ax (a set of axes to plot on)\n", "# Returns: \n", "# ax (axes with data and decision boundaries)\n", "\n", "def plot_tree_boundary(x, y, model, title, ax, plot_data=True, fill=True, color='Greens', alpha=0.1):\n", " if plot_data:\n", " # PLOT DATA\n", " ax.scatter(x[y==1,0], x[y==1,1], c='green')\n", " ax.scatter(x[y==0,0], x[y==0,1], c='white')\n", " \n", " # CREATE MESH\n", " interval = np.arange(min(x.min(), y.min()),max(x.max(), y.max()),0.01)\n", " n = np.size(interval)\n", " x1, x2 = np.meshgrid(interval, interval)\n", " x1 = x1.reshape(-1,1)\n", " x2 = x2.reshape(-1,1)\n", " xx = np.concatenate((x1, x2), axis=1)\n", "\n", " # PREDICT ON MESH POINTS\n", " yy = model.predict(xx) \n", " yy = yy.reshape((n, n))\n", "\n", " # PLOT DECISION SURFACE\n", " x1 = x1.reshape(n, n)\n", " x2 = x2.reshape(n, n)\n", " if fill:\n", " ax.contourf(x1, x2, yy, alpha=alpha, cmap=color)\n", " else:\n", " ax.contour(x1, x2, yy, alpha=alpha, cmap=color)\n", " \n", " # LABEL AXIS, TITLE\n", " ax.set_title(title)\n", " ax.set_xlabel('Latitude')\n", " ax.set_ylabel('Longitude')\n", " \n", " return ax" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "data = np.random.multivariate_normal([0, 0], np.eye(2) * 5, size=1000)\n", "data = np.hstack((data, np.zeros((1000, 1))))\n", "data[data[:, 0]**2 + data[:, 1]**2 < 3**2, 2] = 1" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ljoqzLZfL8WuFq0A8V6/XY0tZWLei6ltShHVdPyqZQuyvVCrFC22VSiVeEHQc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\nbBAq0wbBx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(5, 5))\n", "x = data[:, :-1]\n", "y = data[:, -1]\n", "ax.scatter(x[y == 1, 0], x[y == 1, 1], c='green', label='vegetation', alpha=0.5)\n", "ax.scatter(x[y == 0, 0], x[y == 0, 1], c='gray', label='non vegetation', alpha=0.1)\n", "ax.set_xlabel('longitude')\n", "ax.set_ylabel('latitude')\n", "ax.set_title('satellite image')\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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lx+n/9N8uOsbxXeykQ2cqwWR5moSu09/Sy57OHQuOc+cakxQU9nTuWrDPC11m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\nATjAh6SUB5ai7pV8JvoB4Ckp5R6KyekTdY6nlI8D90kpXwW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Bagging\n", "depth = None\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(5, 5))\n", "\n", "\n", "for i in range(8):\n", " sample_ind = np.random.choice(range(len(data)), len(data), replace=True)\n", " bootstrap = data[sample_ind]\n", " x = bootstrap[:, :-1]\n", " y = bootstrap[:, -1]\n", " ax = fit_and_plot_dt(x, y, depth, '', ax, plot_data=False, fill=False) \n", " \n", "bag = ensemble.BaggingClassifier(n_estimators=100)\n", "bag.fit(x, y)\n", "\n", "ax = plot_tree_boundary(x, y, bag, 'Bagging', ax, plot_data=False, fill=False, color='Reds', alpha=1.)\n", "\n", "ax.set_xlim(-3.2, 3.2)\n", "ax.set_ylim(-3.2, 3.2)\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Bac0H738SZ5uU8leGrtzkHt4askaD7oVz6DSldp9Pzd+5zt9+pXTsJKJcpXvl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\njLn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Variance reduction: Baggining, RF, Tree\n", "depth = None\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(15, 5))\n", "\n", "\n", "for i in range(8):\n", " new_data = np.random.multivariate_normal([0, 0], np.eye(2) * 5, size=1000)\n", " new_data = np.hstack((new_data, np.zeros((1000, 1))))\n", " new_data[new_data[:, 0]**2 + new_data[:, 1]**2 < 3**2, 2] = 1\n", " x = new_data[:, :-1]\n", " y = new_data[:, -1]\n", "\n", " ax[0] = fit_and_plot_dt(x, y, depth, 'Variance of Single Decision Tree', ax[0], plot_data=False, fill=False)\n", " \n", " bag = ensemble.BaggingClassifier(n_estimators=30)\n", " bag.fit(x, y)\n", " ax[1] = plot_tree_boundary(x, y, bag, 'Variance of Bagging', ax[1], plot_data=False, fill=False, color='Reds')\n", " \n", " rf = ensemble.RandomForestClassifier(n_estimators=30)\n", " rf.fit(x, y)\n", " ax[2] = plot_tree_boundary(x, y, rf, 'Variance of RF', ax[2], plot_data=False, fill=False, color='Blues')\n", "\n", "\n", " \n", "ax[0].set_xlim(-3.2, 3.2)\n", "ax[0].set_ylim(-3.2, 3.2)\n", "ax[1].set_xlim(-3.2, 3.2)\n", "ax[1].set_ylim(-3.2, 3.2)\n", "ax[2].set_xlim(-3.2, 3.2)\n", "ax[2].set_ylim(-3.2, 3.2)\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#Errors\n", "data = np.random.multivariate_normal([0, 0], np.eye(2) * 5, size=200)\n", "data = np.hstack((data, np.zeros((200, 1))))\n", "data[data[:, 0]**2 + data[:, 1]**2 < 3**2, 2] = np.random.choice([0, 1], len(data[data[:, 0]**2 + data[:, 1]**2 < 3**2]), p=[0.2, 0.8])\n", "x = data[:, :-1]\n", "y = data[:, -1]\n", "\n", "test_data = np.random.multivariate_normal([0, 0], np.eye(2) * 5, size=1000)\n", "test_data = np.hstack((test_data, np.zeros((1000, 1))))\n", "test_data[test_data[:, 0]**2 + test_data[:, 1]**2 < 3**2, 2] = np.random.choice([0, 1], len(test_data[test_data[:, 0]**2 + test_data[:, 1]**2 < 3**2]), p=[0.2, 0.8])\n", "x_test = test_data[:, :-1]\n", "y_test = test_data[:, -1]\n", "\n", "dt = tree.DecisionTreeClassifier()\n", "dt.fit(x, y)\n", "tree_score = np.array([dt.score(x_test, y_test)] * len(range(20, 320, 10)))\n", "\n", "bag_score = []\n", "bag_oob = []\n", "rf_score = []\n", "rf_oob = []\n", "for i in range(20, 320, 10):\n", " bag = ensemble.BaggingClassifier(n_estimators=i, oob_score=True)\n", " bag.fit(x, y)\n", " bag_score.append(bag.score(x_test, y_test))\n", "\n", " bag_oob.append(bag.oob_score_)\n", " \n", " rf = ensemble.RandomForestClassifier(n_estimators=i, oob_score=True)\n", " rf.fit(x, y)\n", " rf_score.append(rf.score(x_test, y_test))\n", " rf_oob.append(rf.oob_score_)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1eK6TVvu5MWZjwU7M/Rf3222MiNAIRjYbye31by9Xby2LPFMer/z5CqevnmZs\ny7GMaDbCDlEKazWt2hR/o7/H9BuTZEyUy8XUixxPOE7nWp3tsv2/d73e9Kzbk00xm/jjrz8Yqgwt\n9rlZuVm8s/kdlkcvp7JfZd7r+x5ta7S94XmWmTEvvRdGvZHU7FTMZjNeei/+2++/PLTkIWbvn029\noHoMaTKk3F8DwMnEk0xZOwWj3shHAz4qdqnnTuVOvtz9JQuPLuTelvc65bgQd5CVm8W2c9uoG1SX\nekH1bL6+in8VZgyYwaNLH+X19a8TVjGMplWblnhNek460zZMY93pdYRUCOGD/h8QXi281LEKz47N\nPzSfx9s/bnO8niInL4fv9n2Ht8GbB1s/6OpwbmA0GOnboC99G/QlNiWWTTGbyn3erMlsYk/cHrbH\nbmf/xf1M3zadOxrfwYimI2hYueSTREryUdRHRMVG0a12N57v/Hy5YhS289J7EREawbZz27iSfoUq\n/lVcHVKJJBkT5VJcw86yssxY7bqwi493fEyPuj0I8g264Xlx1+J4cc2LHE84TvOQ5kzvN73YhOcf\nyVj+UpSlC7+loPbBJQ/y1qa3qFWpVrkPs03MSOT5Vc+TnpPOu7e/W+ILfqBvIAMbDWSpupTtsdvp\nWrtrucb2FDvO7yAzN9OmJcrrNanShLf7vM0Lq19g4qqJ/DD8h2JncmKSYpi0ZhKnr56mbY22vNf3\nPZuaQY4OH82PB39k/uH53Nvy3pt2SXnZX8u4mHqRe1vc6zazYsWpVakWY1uOtcu9Hm7zMOdTzvO7\n+ju/q7+z4PACFhxeQKvqrRjRdAT9GvbD18vX6vv9evRXfj7yMw2CG/DO7e/cMm+y3E37sPZsO7eN\nPXF7nN7KyFbyHSLKxZKM9azb0273DA0I5cn2T5KcmcyMqBk3PL7r/C7GLR7H8YTjDFOG8c3Qb0os\nMrYcDm7UGws2GBQ+MLxOYB3+2/e/mMwmJq2eVK5DjbPzspm0ehJx1+J4vN3jVtUqjA7XGiIuPLKw\nzON6mrIuUV6vZ92ePNvxWeLT4nlh9Qtk5mbe8JxNMZt4YMkDBctFn9/xuc1duf2MfjzQ6gHSstOc\ndri9sxWuFXswwv1mxRytZqWaPNXhKZaPXc70ftPpWrsrh+IP8cbGNxg4dyDvb33fqp3PO8/v5P2t\n7xPkG8THAz+mgncFJ0QvitKuhlbE7wlLlZKMiTJLzkxmb9xeWlZvafd30fe0uIdm1ZqxPHo5O8/v\nBLR6n3lXQGMyAAAgAElEQVQH5/H0iqdJy07jle6v8FrP10rdwXn9MiVwwxb5jjU78lK3l0jKTOL5\nlc+Tlp1mc8xms5m3Nr3FwUsH6d+wv9WNQptVa0aLkBZsObelXImgp8gz5bExZiNV/atatUxYmvtb\n3c+QJkM4evko0zZMw2Q2Adry09d7vmbiqonk5OXwn97/YWKXiWXu73RX+F1U9qvM/EPzSclKKXfc\n7mapupSLqRe5K/wuuxTFeyovvRe96/fmk0Gf8Ps9v/NY28fwM/rxy5FfGPvbWB5a8hBL1aVk5GTc\ncG1MUkxBY+cP+n9AWMUwF3wFwsJSN+YJ/cYkGRNltvnsZpt3w1lLr9MztcdU9Do97255V9uNtG4q\nM7bPINgvmK+Hfs2o8FFWHeKca8rFoDeg0+kKlimLqjMZFT6Ke1rcw6mrp5iydkrBi7q1fjjwAyui\nV9AipAX/vu3fNh0wPab5GMxmM78e/dWmMT3RgUsHSM5Mple9XnZZvtHpdEzpMYWI0Aj+PPUn3+79\nltTsVCatnsTXe76mRsUafH/n9wxuPLhc4/gZ/Xiw9YOk56Qz7+C8csftTrLzspm1fxY+Xj5uWSvm\nKmEVw3ii/RP8ce8ffDTgI7rX6c7Ry0f5z8b/MGDuAN7d/C5qggporVomrJrAtaxrTO0xtdzlDqL8\nDHoDbULbEJMUQ0J6gqvDKZEkY6LMLAeDl7elRXGaVm3KPS3u4VzyOYYtGMbqk6tpVb0Vc0fc2A+q\nJDl5OQWzIZaZscLLlIVN6DyBLrW6sPXcVj7e/rHVY6w/vZ5Pd35K9YDqfNj/Q5t3Y/Vt0Jdgv2CW\nHF9CVm6WTdd6Gkd833gbvJnebzphFcP4es/XjFk4hk0xm+hYsyM/jvgRpapil3FGhY+isl9lfjr8\n0001O7ZUXcql1Evc1ewuty90dgWD3kDPuj35eODHLL13KePbjSfAO4Dfjv3GfYvu44HFD/Bs5LOc\nTT7Lg60ftNtGIFF+ntJvTJIxUSaZuZlsP7+d+sH1HdKfx+KJ9k8QGhBKWnYao5qN4qshX9m8JJpr\nyi1IwkqaGQPth+67fd+lfnB95h+az+Jji0u9v5qg8tr61/D18mXGgBllejHzNngzXBlOSlYKq0+u\ntvl6T2E2m9kQs4EA74CCeg57CfYL5uOBH+Nv9Cc+LZ4HWj/AzEEzi9wAUla+Xr48FPEQ6TnpzD04\n1273daXsvGxm7cufFbsFa8VsFRoQyvh241l27zJmDJhBz7o9OZ5wnCPxR+hVrxdPd3za1SGKQgr3\nG3NnsptSlMn22O1k5WY5ZImyMH+jP18N+Yrz186X6ailwvViUPrMGGj9zmYMmMGDSx7kva3vUTuw\ndrHNGhPSE5iwagJZeVlM7zedJlWa2ByjxajwUfxw4AcWHl1YYksPTxadGE3ctTgGNhpYZJPV8moQ\n3IDZw2eTlJlUZJsTexjVTPt3WnB4Afe1vI9A30CHjOMsvx//nfi0eMa1GmfzxoZbmUFvKDhMOz4t\nnr1xe+229C7sR6miUMG7gtsX8ct3jSgTy1JTeXfDWaNmpZplSsTgxmTMoDcUdOEvSa1KtZjebzo6\ndExeM5mzyWdveE5WbhYTV00kPi2eZzo8U+5lt9CAUHrU6cHRy0c5En+kXPdyV45e2gYtIXNUIgZa\n09mHWt8cs2PZedl8v/97fLx8eKD1A64Ox2OFVAhhYKOBNrW/EM5hqRs7m3yWy2mXXR1OsSQZEzbL\nM+Wx+exmQiqElNpo09UsyVjhWRhLF/7StK3Rlik9phQU5hauETKbzbyx8Q2OXj7KHY3vsNsL2d0t\n7gbg5yM/2+V+7mZDzAa8Dd4e309tZLORVPWvys9HfiYpM8nV4ZTZkuNLiE+LZ0z4GJkVEzctS0mE\nOy9VSjImbLY3bi8pWSkeMSVvmQEr3M7A2+BNTl6OVYdMD1OG8UDrB4hJiuHlP18uSO6+2fsNq0+u\npnX11kztOdWmnZMl6RDWgbpBdVlzag1XM67a5Z7u4nzKeaKvRNOxZkf8jf6uDqdcfLx8PL52zDIr\n5uvly/2t73d1OEI4TEHdmBsX8bv3K6lwS5aGnY5carKX65cpwbq6scKe6fgMPev2ZOf5nXy47UNW\nn1zN13u+JqxiGB/0/6DUPme20Ol0jA4fTU5eDr+rv9vtvu7A3qc1uFrh2TFPTJwXH1vM5bTLjGku\ns2Li5qZUza8bi3PfurFbPhlLzEjk6OWjrg7DY1h2w1X0qejQuhx7KTIZK2VH5fX0Oj1v9XmLxlUa\ns/DoQl5d9yr+Rn9mDNB6ntnbkCZD8DP68evRX23udebO1p9Zj06no0fdHq4OxS68Dd48HPEwGTkZ\n/HjwR4eNk2vKZcvZLXZN+LJys/h+//f4Gf24v5XMiombm16np21oW84lnyM+Ld7V4RTplk/GPt35\nKQ///jCJGYmuDsUjHE84zqXUS/So06PMncydqfBRSBa2zoyBtqvzo/4fFcwgvHv7u+U6RLgkAd4B\nDG40mIupF9kcs9khYzhbYkYiBy4doHX11jfVLMyIZiMIqRDCL0d+ccjsWGJGIk8tf4rnVz7PoHmD\nmLJ2CrvO7yp3kr74+GIS0hMYEz7GIW8ohHA3nWt1BuBM0hnXBlKMWz4ZqxNYhzxTnttve3UX6884\nfjecPdljZsyiRsUa/DjiR2YPn023Ot3sF2QRxjQfA8AvR35x6DjOsjlmM2az+aZZorTwNnjzUMRD\nZOZm2n127Ojlo4xbNI69cXvpXKszdQLrsPrkap5c/iSjfhnFD/t/KNObSMusmL/RX2rFxC1jZLOR\n/G/g/4ptU+Rqt3wyVrDLwo0L+9zJhjPabrgutbq4OhSr2KNmrLDqAdXtcp5iaRpWbkjbGm3ZcX5H\nkW01PI2nJfG2GN50eMHsmL1m2JeqS3ls6WNcTr/Msx2fZeagmfx818/MunMWQ5oM4VLqJWbunMmg\neYN4ac1L7IjdYfVs2W/HfuNK+hXubn63XRviCuHOjAYj3ep0c9tNZ+4ZlRM1q9bMYw4SdbWzyWc5\ndfUUnWt1xs/o5+pwrJKTl1NwLqVFWWfGnG10+GgAFh5Z6OJIyic9J52d53fSuEpjalaq6epw7M5S\nO5aZm8mPB8o3O5aTl8N7W97jPxv/g6+XL58M/IQHIx5Ep9Oh0+loVb0V03pNY9W4VUzuNpn6QfVZ\ne3otT694muELhvP9vu+5kn6l2Ptn5Wbxw4Ef8Df6M67VuHLFKoSwn1s+GfPSexERGsGZpDNuf5Co\nq3nSLkqLwkchWZRnZsyZetfvTVX/qiz7axnpOemuDqfMtp3bRnZetsNPa3ClO5veqc2OHS377FhC\negKP//E4vx79lcZVGvPjiB/pUrvoGeiKPhUZ03wMP436idnDZzNMGUZiRiKf7fqMwfMHM3nNZKLO\nRd0wW2aZFbunxT0ef3KAEDeTWz4Zg7+XKvfG7XVxJO5tw5kN6HV6etTxjN1wZrOZXFPuDRsNDHoD\nBr2B7LxsF0VmHS+9FyObjSQ1O5WVJ1a6Opwy88Qk3lbeBm8eafOINvO0/webrz946SDjFo3j4KWD\n9G/Yn1nDZlk1i6jT6WgR0oLXb3udleNW8nL3l2kY3JB1p9fxbOSz3LngTr7b+x2X0y6TmZvJ7P2z\n8Tf6c1/L+8ryZQohHESSMf5uCCdF/MW7kn6FQ/GHiAiN8JjdV3nmPIAid30a9Ua3X6YErejUoDfw\ny5FfrGpS625y8nLYcnYLNSrWKNe5nTY5dw5U1TljFTJMGUb1gOr8euzXEpcKCzObzSw6tojxy8aT\nmJHIhM4TeLvP22UqAwjwDuCu8LuYN3Iec0bMYUTTESRlJvHF7i+4Y/4dPLTkIRIzEmVWTAg3JMkY\n0LRqU/yN/pKMlWBjzEbMZrNHzW4UdRSShdFgJNeU6/YJTlX/qvSp14cTiSfYf3G/q8Ox2Z64PaRm\np9Krbi+7nVJQqkmT4NFHIS3NOePl8zZ482ibRwvqskqTnZfNW5ve4p3N71DBuwKfDf6M+1rdV+6/\nJ51OR3i1cKb2nMqqcauY0mMKSlWFE4knqOBdQWrFhHBDkoyhLVtFhEa4/UGiruSJS01FHYVk4Sl1\nYwCjm+cX8h/1vEL+gq77TjhQHoC4ODh5EjIzYd0654xZyNAmQwkNCOXXo7+WWIManxbPv5b9i9/V\n31GqKswdMZcONTvYPR5/oz8jm43kxxE/Mn/UfOYMn0Mln0p2H0cIUT6SjOWzLFVK3diN0rLT2Hl+\nJ02qNCGsYpirw7FaUW0tLDxlRyVAm9A2NKrciLWn13rUJhOT2cSGMxsI9A2kdfXWzhk0KurvP0dG\nOmfMQowGI4+0eYTsvGzmHJhT5HP2xu1l3KJxHIk/wh2N72DWsFnUqFjD4bE1qdKEukF1HT6OEMJ2\nkozlk7qx4m09t5VcU65HzYpBKcmYB82M6XQ6xjQfQ54pj0XHFrk6HKsdvXyUhPQEetbpiUFvcM6g\nlmQsLAx27YJ45x99MrTJUGpUrHHD7JjZbObnwz/z5PInScpM4sWuLzKt1zR8vHycHqMQwr1IMpZP\nqaJIv7FieOoBz0UdhWThSTNjAAMbDaSCdwUWHVtUkGS6u/WntUavTluizM2FnTuhZk148EEwm2HV\nKueMXYjRYOSRCG12bPb+2YDW32vahmlM3zadQJ9AvhzyJXe3uNt5dXRCCLcmyVg+g95A2xptOZt8\n1m0PEnWF7LxstpzdQljFMBpVbuTqcGxS0syYt8Eb8IyZMdBqf4Y2GUpCekJBcuzuNsRswNfLl041\nOzlnwEOHtKL9rl2hb1/w8nLJUiXAUGUoYRXDWHRsEYcuHeLRpY+yPHo5zUOaM3fkXNrWaOuSuIQQ\n7kmSsULkaKQb7b6wm/ScdHrX6+1x7+KtWaZ0915jhVk68nvCeZWnr54mJimGrrW7Om8ZzrJE2aUL\nBAZCt27w119w4oRzxi/ES+/Fo20eJTsvm4d/f5jjCccZpgzjm6HfEFIhxOnxCCHcmyRjhbQLy0/G\nZKmygCfuorS4WQr4LeoG1aVTzU7sjdvLiUTnJxi2cMn3TVSUNhvWPv8g4MGDtd9dNDt2R5M7qB1Y\nGy+9F690f4XXer5WMCMrhBCFSTJWSNOqTangXUGSsXyW3XDBfsG0DnXSbjg7ysnLwUvvVeSMnl6n\nx6A3eMwypcWY5mMA9z+vckOMdlpD9zrdnTNgYiIcOwatW4O/v/a5Hj2gQgVYuRJM1h2ibU9eei++\nG/Ydi+5exKjwUR43syyEcB5JxgrR6/S0DW3LueRzUjcGHI4/TGJGIj3r9HTbk+5LUtRRSIV5Shf+\nwnrU7UFoQCgrTqwgNTvV1eEUKT4tniPxR2gf1t55Pa127NB+79r17895e8Ptt8OlS7DfNQ1zK/tV\n9qh2MEII1/C8V1gHsyxVSouLv3fDeeISZXHnUhbmKV34C9Pr9IxqNoqMnAyW/7Xc1eEUaeOZjYAL\nlihBqxcrzLJUuWKF82IRQggbSTJ2HUu/sVu9iN9sNrP+zHr8jH50quWk3XB2ZDmXsqijkCw8qddY\nYcObDsdoMPLLUfc8r3L9GS2Jv63ubc4Z0GSC7duhShVo3Pifj7VtCyEh8OefkO05mzWEELcWScau\n06RKEyr6VGR33K09M3Y66TSxKbF0rdXVI4uOSzoKycITi/gBgv2C6degHzFJMey6sMvV4fxDSlYK\ne+L2EF4tnOoB1Z0zaHS0VjPWuTNcX5el18PAgZCaClu2OCceIYSwUfGvVLcovU5Pm9A2bIrZxMXU\ni4QGhDpt7JikGGJTYulWp5vTxiyO0xt22llJOyktPK3XWGFjmo9hRfQKPtv1GYfjD5frXgadgc61\nOqNUVcp+k2PHIDmZLVUSyTPlOXeJcts27ffC9WKFDR4Mc+ZoS5V9+jgvLiGEsJIkY0VoH9aeTTGb\n2Bu3l8GNBztt3FfXv8rxhOP8ce8fzptVKMams5sw6A10q+36xLAsrEnGPLHXmEXzas1pEdKCw/GH\nORJ/pNz3m7lzJuHVwhnRdAQDGg3A3+hv/cVXr8LTT0NaGhte1Za0nV4vptNBp2KW0xs10pYvt2yB\nlBSoJAdlCyHciyRjRbA0f919YbfTkrHTV09z7PIxAKJioxjedLhTxi1KUmYSRy8fpU1oGyr6VHRZ\nHOVR0lFIFp66TAnaeZX/G/g/jiccL/e9UrJSiDwRyZazW3h789vM2D6DAQ0HMKLZCJpVbVZ6S4YZ\nMyAlhSy9iahja6hTtxn1g+qXOy6rpKXBgQPQrBkEBRX/vEGD4JNPtNqxkSOdE5sQQlhJkrEiNK7S\nmEo+lZy6ozLyxN+NKaPOuTYZ23l+J2azmc61OrsshvKyZWbME5cpAQJ9A+22uaJfw37Ep8WzVF3K\nkuNLWHx8MYuPL0apqjCy6ciCszFvsGOHtvzXoAE7Ug6RkXSZXrc96byeWrt3Q17ejbsorzdwIMyc\nqcUqyZgQws1IAX8RLHVjF65dIO5anMPHM5lNrDyxEn+jPyEVQthxfgd5pjyHj1ucbee0GpyutYup\nwfEAViVjHjwz5gghFUJ4rO1jLL13KZ8M+oRe9XoRfSWad7e8y4C5A3hz45scjj/89w7OrCx4912t\nSP7NN9nQqhJkZNDLt6nzgra0tCiuXswiJETrzL9/P1y44Pi4hBDCBpKMFcOZRyMdvHSQC9cu0Lte\nb3rU6UFqdipHLpe/DqgszGYzUbFRBPsF06RKE5fEYA+WZKyk1hae2oXf0fQ6PV1rd+WD/h+wfOxy\nnurwFJX9KvO7+jsPLXmIsYvG8suRX7j29acQGwtjx5LXuBGbamRRJduLFttPOSdQs1kr3g8IgBYt\nSn/+oEHa7ytXOjYuIYSwkSRjxXBmv7EV0VpDysGNB9OltrbcYpmdcrboxGiupF+hS60uHtl138Iy\n22XQGUp8nid24XemahWq8UibR1hyzxI+Hfwpfer34dTVU7y/7k0GnpjGG21TODi8CwcuHSDJT89t\nyUHoV67SEiVHO3dOm+Xq2BEMJf87A9pOSm9vbanSDfuzCSFuXZ77autgjSo3opJPJYfPjGXnZfPn\nqT+p4l+FDqmV6HA0GYPeQFRslEPHLc722O0AHl0vBn8fhVRa7ZInduF3Bb1OT+danXm/3/usuOcP\nnvkriKrZBpY11fPI6qd5fuXzoNfTq35vLUk64oSZ3eK67hcnIAB69oQzZ0BVHRaWsMLBg7DLvXrk\nCeFKkowVQ6/T07ZGWy5cu8CFa46rMdl2bhspWSkMrN0b/fMTqPD6m7T2rcfRy0dJykxy2LglxQM3\nTzJWGk8v4neFKqs28VBUBosDH+fzu+fQt0FfsvOytTcUAx7RnuSM44dsTcZAjkdyB7Gx8MQTWjuU\n6GhXRyOEW5BkrATOWKosWKLclgAJCQB0OZ2D2Wxm5/mdDhu3KOk56ey/uJ+mVZtS2a+yU8e2J8u5\nlCXVi1kUNH6VpUrrJCRouxIDAtBPepGONTvyXt/3WDVuFQtGLcDYpRsEB8Pq1ZCb67g4srO1nZT1\n60OoDY2Zu3TR+oytWqXtwhTOZTZrmz6ys7VjrN5+W/tdiFucJGMlsPQbc9RS5bWsa2w+u5kG+io0\nWbQBGjSAsDC6bD4DeXlOrxvbfWE3uaZcj95FCdbtpLSwJGye2PjVJT74QDta6NlnoWrVgk8H+gYS\n7Bes1W4NGABJSdp5kY6yfz9kZto2KwZgNEL//nDliiyTucLKlVo7lC5doF8/OHwYfvvN1VEJ4XKS\njJWgYeWGBPoGsvvCbofUFK09vZac3GwG7byKzgxMmQJ33UWTRB2VU3OJio1yai3TzVQvBlYmY7JM\nab0tW7Smqa1awYgRxT/PsmvRkUuBZVmitJClStdISYGPPgIfH3jlFZg0Savj+/RTuHzZ1dEJ4VKS\njJVAr9PTrkY7LqZeJC7V/v3GIqMjITGRgUeytEaUEREwbBh6bx86n8rhSvoVohOdV1MRFRuFv9Gf\nVtVbOW1MRyjLzJgsU5YiIwPee0+b+Zo6VestVpzwcKhTBzZs0DrkO0JUlLYzsm1b269t2RLCwmD9\neu3rEs7x8cfa0VmPP679/VepAs89p32PTJ/u6uiEcClJxkpR+Ggke7qYepE9Z6NoezKdGhWqwzPP\naA8EBUH//nSJyYO0tILZKkeLTYnlXPI5OtbsaFUS486sOQrJQmbGrPTVV3DxIjzwADRsWPJzdTpt\ndiw7W0t47C0+Hk6cgHbttFkWW+l02uxYRgZs3Gj/+MSN9u6FpUu1M0LHjv3788OHQ+vWsG4dbNrk\nuviEcDFJxkphaf5q72Rs1YmVEHeRQRcDtOn6wocXjxlDp6sVIDHRaXVjUee0ZZ8utcqw7ONmZGbM\nzlQV5s+HWrXgscesu8aRS5WWWrSyLFFaOGMpVWiys7VCfZ0OXn0VvAr9v9TrtZlWLy/4738hPd11\ncQrhQpKMlaJBcAOCfIPYE7fHbvVbZrOZ5ZtnYbyWzu0N+2mFrIWFh1O5SWuaXcxl/7mdpOc4/geU\npa+ZpemsJ7MlGZMu/KUovONtyhTrZ6Jq1dJqy3bvtn89UHnqxSzq1tWWU7dvh8RE+8QlijZ7NsTE\nwOjR0Lz5jY83aKDNuF66BF9+6fTwhHAHkoyVwtJv7FLqJbv1G4s+u49TMfvpnhJIpZde194xXm/M\nGLokViD3SoLDDyzPycth14Vd1AmsQ1jFMIeO5QzWHIVUmFFvlN2Uxfn5Zzh6VFvW69jRtmsHDdKS\nuNWr7RePyaTtxqteHerVK9+9LPGtWWOX0EQRzpyB77+HatW0vmLFefRRqF0bFiyAY8ecFp4Q7kKS\nMStY+o3ZKymK/OFVyMtjUOf7tULWovTrR5fcGpCUxPaYLXYZtzgHLh0gIyfD41taWFiWHK2tffM2\neJNnysNkln5H/3DpEnzxhbaEPmGC7df366cV/NtzKfDIEW1XXteuRb+JscWAAdoymSxVOobZDO+8\nAzk58OKLUKFC8c+17LC0zMRKDzhxi5FkzAoFzV/t0G/MtGc3Ky9tpaJ3AN0fer34J3p70/L2e/HP\nNhO1b1m5xy3JzVQvBn/PjJV2LqWF1I0V4/33tRqe55/XGrnaKigIunXTas5O2enwcHssUVpUrgyd\nO2sJ3tmz5b+f+Kdly7TC/Z49oXfv0p/fsaM2A3v8uDYjK8QtRJIxK9QPqk+Qb1D5+41lZ7N7xotc\n9s6lb4e78fbxL/HpXneNoVNSAOcu/kVsSmzZxy1FVGwU3gZv2tYoQ5sAN2TtuZQWsqOyCOvXazsN\n27aFoUPLfh9LoXxkpH3iiorSZrM6dLDP/ewdn9Bcvaq1svD3h5desn4Wc8IECAzUZmQvXnRsjEK4\nkVKTMUVR9IqifKkoSpSiKBsURWl03eP3KYqyV1GUXYqiPHndY50URdlg55idTqfT0a5GO+LT4suX\nFP3wA5EmFYKDGdTtodKfHxZGl9D2kJlJVNQvZR+3BAnpCfx15S8iQiPwM/o5ZAxnyzHlWF0vBjIz\ndgNL3yejUdvpVp7lwJ49tRfkyMjyH3uTkqLNYrVsCRUrlu9eFr16gZ+ftlQph8Xbz4wZ2r/Xk09q\n9X3WCg7WZmIzMrTdlfJvIm4R1hTVDAd8VVXtoihKZ+BD4M5Cj38ANAdSgaOKoixQVfWqoiiTgfsB\nB3V9dK72Ye1Ze3ote+L2UDuwtu03iIkh6/tvWdslk9D6nYgIjbDqss6Dx8Pv64iK+oXRAybaPm4p\nLH3MbpZ6MbPZTJ4pDy+j9b3SnD0zZjabuZR2iSp+VWxKGm+wZYu2BDhoUPG1h2Xx2WdaL6/x47Vd\nh+Xh4wO3364tWe3fX7YmrRY7d2oJXVc7fq/6+WlLaCtWwKFD2g5QUT47dmh/n+HhcPfdtl8/ZAgs\nXw6bN2sztH362D9G4TnMZli82D4bOwICtPY8JdUvuog1r1jdgZUAqqpuVxSl/XWPHwQCgVxAB1je\nypwERgI/WhOIoijTgH9b81xXsPQb23NhD8ObDrft4vxC1k2VrpIeVo27lSHoddatEIf1vIO6vwex\nK+koOVcuY6xSzdbQS3Sz1ovZ0rjW2TNjyVnJnE85T64pl1qVapXtJnv3wgsvaIXOX36p1T6NGKHN\nRHmVo2nv4cOwcKG2U/Ghh8p+n8IGDdKSscjI8iVj2/J77tmjXqywQYO05CEyUpKx8srK0g4Ct/QP\nK+mkhuLodFoblbvv1uoWO3bUXkTFrSc9HaZN05oC20vfvkW3WHExa35qVwKSC32cpyiKl6qqufkf\nHwb2oM2ALVJVNQlAVdXfFEWpZ20gqqpOA6YV/lz+9aetvYcj1Q+qT2W/yuyO0+rGrK1HArQXoj17\niOxfESrqGNR4kPXX6vV0bdSbn04s5sBvn9F+/DSbYy+OyWxi+/nthFQIoUFwA7vd15XKlIw5eWYs\nI0c7giczN7NsN4iN1RoFg7YMtG2bVksVFaUVpd95p9bZvGZN2+6bm6vtZDObtRdDb++yxXe99u21\n1gZr1mi76spyX7NZ6wkWFARNm9onLouOHbW/t9WrYeJEbXlWlM1332nfn/fdB4pS9vvUqQOPPKKd\n/PDZZ1rdmbi1nD2r/Zw7dUp7E/fii2U7caMwf3+oWtU+8dmZNW9bUoDCBRp6SyKmKEor4A6gPlAP\nCFEUZbS9g3QHlrqxy2mXOZdyzvoL8wtZkyp5s7W2GaWqYnPi06XvQ6DXEbXj1/LX3RRyPOE4yZnJ\ndK7V2bbk0o3ZchSShWVmzFm9xixJmCUps8m1a1pNTUqKljA9+qj2AvjLL3DvvVpC9f33WkL29NPa\nwd45ViaZ8+dDdLR2bXlmsK6n18PAgZCaqi2tlsWpU9rSaadOZZttKYnBoLW5SE7+e7emsN3Jk/DD\nDxAaqp0/WV4PPqjN0P76Kxw8WP77Cc+xeTPcf7/2/37sWPj8c+0orTp1yvfLTRMxsC4Z2woMBsiv\nGWM+2loAACAASURBVDtU6LFkIAPIUFU1D4gHyrAH3jMUXqq0Wn4h65p7O5Jn0DO40WCbx23bsDve\ngVWI0l8o+4tZESxHLd0s9WJQtpkxvU6Pl97LacuUGblaEpadl02eyYZ+Snl5Wi+mM2dg3DgtabJo\n0EBbtoyMhP/8B9q00Wp3Xn5ZaxfwySclt2+4cEGbhQgOhv/7v7J9YSUp765FS5Jkz3qxwmRXZfkU\n7g/28svaDER5eXtrS51ms3bv3NzSrxGezWSCb77RdtXm5sKbb2qz1eUpvfAQ1iRji4FMRVG2ATOA\nCYqijFUUZbyqqjHAV8AWRVG2AEHAbIdF62I2Hxq+c2dBIWtktWT0Oj39G/a3eVxfL1/aNOrOXwFZ\nJCz8webrixN1Lgq9Tk/HmjZ2VndjZUnGQJsdc8Yypdls/sfypE1LlR9+qC3V9egBzz1X9HN8fLTk\n65tvtNqvsWO1F8g5c2DkSG1Zc/Vq7bzAv4OC997T6n0mTvznOan20rixdsD4li3arJ6tLPVinTvb\nNy6LZs20zQobN2q7SYVtFi/WZq/69oXu3e133zZttCX3kydh3jz73Ve4n9RUbVnyq6+gRg2YNevv\nN0m3gFJfsVRVNQFPXPfp44Ue/xIo8kAxVVXPAA766el89YLqUdmvcsE5lSUu7WVlad2n9XpiJzzK\nwV0v0KlmJ6pVKFsBftcWg9lxZDXb921kyNmz2pRrOVzLusah+EO0CGlBJR8HvPi6iK1HIVkY9UYy\ncjIwmU1Wb64oi6y8rILvHUtiVsHbip09CxdqS5ENG2qzBNYs1dWvryVXzzyj7UpbtAh27dJ+BQVp\n/cNGjNCabG7bpiU6AweW/4ssik6nJYkzZ2pLpyNHWn9tRgbs2wdNmkCVKo6N74svtGLh8vRWu9Uk\nJGj/rgEBf9cy2tNzz8GmTfD111qyZ2stpHB/p09rM/tnz2o1nO+8o/2MuoVI01cb6HQ62oe1JyE9\nofS6MUsh69ixRJr+ArCtcP86XWp3geBgoiqnaTUU5bTrwi5MZhOda900uTJg+1FIFlbvqNy0SavJ\nsrYO6zqWmbBAn0Dg7yXLEu3YofX9Cg7Wlr1tXQLy9tZqor76Cn77TavFAPjxRy0pmjZNe87LL5f/\niKGSWBK9lSttu27vXu3v2967KK9nic/dliqvXdMaqMbHuzqSon34oTar8eyzjqnJqVRJe6G27NR0\nx95jiYna/013OHQ+KQk+/dRzTpVYv16rDzx7VjswfubMWy4RA0nGbGbVUqWlkLVGDczjxxN5IhIf\nLx9617PiSJBi1A+qT0hoQ7ZXy8a09HdttqAcbsZ6MSjHMqU1Oyp37dLe+X/2mVagnJBgc3yWov1g\nv+B/fFysM2e0nWQGA3zwQfn7idWtq9WErVihvfvs0EFbsnzmGahVxjYb1qpeHdq105KruDjrr3N0\nvZhFzZrQurX27+xOic+8eTB3Lsye7epIbrR1q7ZLtlUrbZbVUfr312Zut2+HVascN05ZffaZ9u/0\n3XeujkQrUZg9W0tsNm92dTTFM5m0wvwXX9T+/M472iyowbpj7G42kozZqNRDw68rZD2aepqzyWe5\nre5t1i1HFUOn09GldleSqwZwnIRyvXs3m81ExUZRyacS4dXCy3wfd5RrykWn09l/ZuzsWZg8WftB\n0bWrVh8zbpzNu7wsM2MB3gEYDcaSa8aSk7VC1tRUeO01LVGwF29v7QXuiy+0H9hjx9rv3iUZnL+B\nxZbZsW3btNlAZ/QAGzxYm3lxlxf8nBxteRm0mNypiD0jQ6s1NBjK3lPMWjqdtnnFx0ebiStL3aGj\nnD8Pf/yh/fmPP7TeWK6Snq7FUKmS9iZrwgQtObPjLny7SEnRdoXPmqW9CZo9W/t5dAuTZMxGdQLr\nUMW/SkHd2A0shaz9+kG3bqyIXgHA4Ma276K8XtfaXSE4mG1V0rUaojJO159OOs2l1Et0rtXZofVR\nrpBjyrE5EYNSZsYsPziuXdNedP73P+2HXGKi1qV+0SKr/y0ycjPQ6/R4G7zx8/IrfkdlTo6W/J07\nBw8//HcS4wh+TjwGq08fLRG09vihCxe0RLh9e+f0/+rbV9u55S5LlevXa99nfn7u13rjq6+0Gc4H\nHtBqGR2tZk3t/9vVq9r/QXfx3Xfam+/wcG3zhyu/dyIjtRjuvVdLdEJDtX+nSZO0N3Xu4ORJ7Xtm\n2zbtje2PP0KjRqVfd5O7uV6JncDSb+xK+hVikmP++WDhQtYXXiDXlMvqU6sJ8g2yS21Wh5od0Bu9\niQqvqPWDOnCgTPexHIF0s9WLwf+z9+ZRctzlvfe3qnqbpWfXSKPFlmVL7UVe8G5jjO2LMTYGHDC+\nXLaDb7BZkjcJ2zmEywVfQsgJCSSQ9wIhQOBCcsGB10DwAga8Yck2NgZ5U8u2LNuSRqPZ1T29V9X7\nxzNPd01PL7VXdc/vc46PrNm6NN1d9dT3+T7fp7Yk3CoxhYJIVyljlQq1CV96iXwN115Ld+nveAe1\nJvr7SV7/7GdXTig2gA37iUgCAKp/rlLHdJ2Sxx97jFb1fOAD9T+qc0kmadruhReAffvafz0XH177\nxZjBQeCVr6Rje+45fx6zFbcu76T95Cfpz7AUiek05dJt3kzrZfziHe+gydyf/ITa3UFz8CApUSec\nQDYCRaHnLAhfm64DP/gBHcMf/RGFI3/ve2SIv/9+On+9EHCG+t1303EcPEihvv/4j95Mb3cgohiz\nAbcqV+WN1RlZHzn0CObz83jtia+1VSDUMxAfwM7xnXhiTENGUWsnaouwX6xbViAx1b2UdpSxRsGv\nXBT99rfAq19NIapGzjuP7upOPpkuDjfd1NJrxJOUvJCd/1xl4v+//5cU1lSKMsO8bP8EAat8d9zR\n/mv98osZCUvm2L59tM/z4ouphXP88cC99wYfvcFWDE2j4GGnqehWiERqy+s/97m2N0Ce861v0e/h\nppuA8XHaw/r88zT96zePP04hqf/lv9QGKYaGSCB417uAF1+kQujee/0/NlWlrMO//Es6n33+88AH\nP9h95zYHiN+EDarF2KShGGtgZHWzRclctPkiaD0J/PbUQeBXv7JsIi9Wivjd5O9w0shJtmM2wopd\n8z7QpE15663Ugtyxg8IHG504JiaoTfH61wNPPUU+siZ37KyA9USoCGuojD34IN0tjo7SdJafLUS/\nuPhiuhu+667WXpZKhbL6tmzxN87gVa+iRcJ33hms1+Y//oP+fOtba9EbpZK7e/rscOutwNNP0/Gc\nH0BG4c6d9Ds5cIAGpYLi5ZdrqthrXkMfe+vyAhqbN8qO4Me84YaVH1cUGtr53OeoKProR8kr6tdr\ne3GRBIr/838okunb3xbL3xsgijEbbBnYgrHeMTx6mPZUolhcZWTNlXO458A92DK4Baetc28pKU8/\n7jp/gt5Yt91m6fsfm3wMJbXUdVOUgL1VSAyb/qttyl27SOkcGQG++MXWcRLxOMVDfOxjdOL5wAeo\nXVDXquDJSS7CuCirTlQ+/zzdOUYi9Jjj45b/HR1BLEYXr9lZUh2bsWcPGZL9alEy8TipC0ePBtcK\ny2SoGNy4kdqmQDiiN44epQm4gQHyTQbFBz9I6s+3vkWKTxB885s1VYxv1M46i/xP99wDTE/7dyzT\n0/SY27c3H/R57WupENq0iY79Qx+i15lXFIukfr/rXXRTdemlVJBt6449yG4jijEbcN7YXH4OBxYO\nkDw8OQlcf33VyHrvgXtRrBRx9UlXu7r38ZR1p2AgPoDd/fPQ+3pJubEwYdXtfjHAnjIGGFL49+9f\nWRRt2ND+myUJ+K//le44BwcpF+yWW+iEtAy3I7k9qchKbaJybo5Ojrkcfd9p7hXwocRMq9Jvv5gR\nDn393vf8f2wA+M//BAoFOqfwhX7TJlLeg4ze+P736TX6p39KuXdB0d9PAy7lMik+fnu0Xn6ZXrvb\nttVUMYDOAzfcYOtG2RG33UaPySpqM7ZvJ2vFRReRCv/ud9NNoJvs30/+uauvBj71Kbo23nwzfay/\n393H6iJEMWYTzht7bPIxSjAHaOJrGW5RXn2Su+scZEnGhZsvxFR+Bi9cczHdEVnwAOx6eRcSkQTO\n2nCWq8cVBhwXY3IU6uICtA/9BflyPv1paolY4eyz6QJ+2mnA7bfTIu/lTK1CpVCdpGR6Ij0oFZag\nfuwjNDl4881rY8T7jDNI9bnnnuaZebt30wTlOef4e2wAKRxnn03rm55+2t/H1jRqUcZiwBvfuPJz\nHL3xi1/4e0wA3Vj8+MdUhF17rf+PX8/ll5Pa8thjtWgJv/jGN1arYszVV1PR8aMf2Q6HtkS5TI/V\n329ufdDAAE2j3ngjFZXveQ9txXBCoUDPwX//71SMfv/7dDN7441UKN58s/CHtUH8dmzCS8MfPfwo\nTRYBZLgGMJObwSOHHsHp60/HlsEtrj82G+8fOm+CPmDSnzCZmcSBhQM4d+O5KwqCbsHuKiQmqgH4\n0pdQnjxIJ9mrrrJ3IOPjlO3zpjdRof7Od0J/5BEUKoWqKsb0RBLAt76JwpO/pyLsppvsPWanIcvU\ndsvlaNKrnrk5+t2ddZY7S6etIkl0AQEoGsBPHn6YLpJXXbU6ifzKK8kOYWb4wW1+8QuKebnuOioU\ng0aSSB3r6SF/5fy8P4/70kvUKj7xRGpn19PTQ8rq7CzdbHjNPffQY73xjeY9prJMA0mf/zz9/eMf\nJ6O/VR/Zc8/Rz3jd60jRf+IJ8oR+/vP0Gv2TP/E+TLpLEMWYTbYMbMF43zjlje19hu42Jqg4+sXz\nv4Cma66rYsxFW6gY21V4lgy0v/udKal590Fq+3SjXwywvwoJAKDriH7ln4H0XpSvuMx5URSLURzB\nJz4BLC2h+GcfhH7HHUgoKyfPEj/6CfCb3yB/ynZS4rxcRxQ2+C6+UWHxELXTA2lRMueeS+rYgw8C\nTz7p3+Majfv1GKM33G4vtULX6aZPloG3vMW/x23Hhg3k0Tx2jAoyP2BVrJXaw88dP5dewo9x/fXW\nv/eKK2gI4rjj6M8/+zPyvbYinwd++lNSvd72NnpdJBLUBfjJT2hq8oorSBkTmEYUYzbhvLH5pVm8\nMPs8qWLLF9I7nr0DsiTjym1XevLYY71j2D66Hb+b/B2K119HHzTxpu9mvxjgsE35ve8h9vO7gRO2\nofzxj7kjqUsS7X78+teRHxkA/v3f0PN3/1hry917L3q+/i1geAT5T/8PfyMCwsAJJwCnnELtyHpV\nIwzFGEBrrwBaUu0Hhw/TRoTTTqMQ0Uaw385PI/9TTwHPPENtQTMeSj9529vodXTHHWQU95IXX6Qp\n4JNOojZpM447jtY3Pf64t3l1zz5Lj3HhhfSYdti2jQqxV72K3nfvelfjDMB9+2hQ7XWvo8idJ5+k\nG4MvfIEsGR/4gPN1bWsYUYw54JyN5wCFAh4dXKKsKQD75/dj78xeXLzl4ur+QS+4aPNFKKklPLat\nh3b+3X57y4TlilbBw4cexqaBTdgy4H7rNAzYLsbuvx/48pcRHVkHfOhDKEVcfluccQYKX/0ysH07\nEr++n3wV99wDfPKTSER6gI98GIWBAFpxYeDqq0lluPvu2sc0jQq0sbHgk7nPOYf+27WLWjBe88Mf\nkgpVH09gJIjojWaxCWFAlmvrmD73uRVDM65jRhVj+HflZcwF34Q7fV6SSSqqbr6ZbghuvJGKzlyO\nfILvfjetTPvhD+m1d9NNNGTypS9RBuMa3SfpJqIYc8C5G88FCgU8NpSr+sXueo527rmZLdaIqm9s\n8rfUNsjnqSBrwpNHn8RSaQkXbb7I1enOliws0B3UM8/48nBlrWx9L+Wzz9KJPBZD9G/+Fhgebr0s\n3Cb5gV7gE/8DPW96Cz3mxz4GFApQ/uqziG3bsTr4da1w1VV0UTO2KvftI6XsoovC0bb1Sx0rlajN\nMzRE3rBmcPTG1BSFwnrN/DwVy8cfT0HHYeTkk0khO3jQu2XdBw7QftDt24HLLmv/9ZdcQtaVO+7w\nJkIik6GfPTFBj+UUWaZi7ItfpBbjJz9JPtbPfpb8m5deSq3g//xPek+ETSHtcEQx5oBNyU0YLyh4\nbDAHPZWCpmu467m70BvtxaXHX+rpY5+54UwkIgnygV13HU2dtdhXuftln/1ipRKFC/70p8C//qsv\nD2l5FRLHSeTzwF/9FaKnng6gxbJwBxQqBSixOGJ/+Uka9x4YoH2Xl1+ORCSBslpuvKOy2xkdJd/j\nk0+SMRogFQoIvkXJnH02FSG7d1teDG+JX/yC/DpmDPJWthg45cc/pom9drEJQfP+91OB8J3vULyC\n21hRxYCav44nDd3mZz9bHX/iBpwHduKJdGPwvvfRY33xi6TKChXME0Qx5gBJknDuTAwLcQ37kxXs\nmdqDw5nDuOKEK6rBnl4RU2I4b+N5eGH+BRyJlehO+sCBpiGauw/uhiIr1e0BnqLrwN/8Te2ufdcu\nb1sHy1gqxrhYPHKEAiSvuKL1snAH1O+kxBvfSNsT3vlOAC3WIq0VuLC4i1RlPPQQXfQvuCC4Y6qH\nJyu9VMesGOTPPpumdn/5S29XAmkaxSb09IQjzqIVvb20R1ZVSc1xs4X7wgukiu3YQW05s7zpTVRY\n/8d/uHs8xviTN73JvZ/LHH88xVP87Ge1VU8CTxHFmBOKRZx7oATEE3hs6nFP1h+1gqcqd7+8u+X0\nznx+Hs/MPIOz1p+F3qgP3qTvfpek7FNPpSDUQoHG9T3E0l5KXaf1Rnv2kGfpxhsBNEjhd4nqTsqI\nYezcoDA0XRi+VrjsMprGuuMO8j3+4Q/02hkcDPrIarziFaTgPfSQN+rYU09Rnhm3ttrB0SDZLGWh\necUDD9ANyzXXdEZg56teRS3cPXtI0XOLf/kXOm9YzcsaHqYb5Zdear1twiqPPEI/88orV8efuEWY\nVdAuRBRjTnj+eZyz0AMkEtj98m78cv8vMdY75o/6hJpvbPfB3RROevLJwH330cnTwMOHHoau69Xi\nzVPuv5/yasbHSdbmFS4eL6e1tArpX/+VzM+nnw78z/+54qRTTeF3kfo1SPWsWou01ujtpYLs4EF6\nblTV38XgZmF17Gtfc/9n2zHIt4oGcYswG/eb8dGPksn8y1+2vLu3Ifv3k2fOqirGeGHk78TnRdAS\nUYw5Ye9ebCxEsT65AQ+89ACOFY/hdSe9DrLkz691y+AWbBrYhIcPPYyKrtIbU9NoRZIB9otx8eYZ\n+/aRGT4eJ6Pn2BiN6I+OUpGoeueJMj1J+etf0269DRtoeqjOmxOVo1A1FZruXkuhfg1SPWteGQNq\nrcrvfpf+DItfzMhZZ5E69sgj7hrnFxboYn/ccdYWb2/fTtOmDz5IOVtu8+KLpGiffXZ1zVtHsG4d\nLabOZuk97pRvfINUsfe9z55axDElDzxQ3cbhiMlJUkNPPbX716atIUQx5oS9eyFBwrlbat4Wv1qU\nzMWbL8ZSaQlPHn2SJtMGBmj9xLKPRNM17D64GyM9I9g+ut27A5mdrZnhP/OZ6nQpZJnuJhcXqf3k\nEaaKsWeeISWME7tHRlZ9CW8mcLNVyUVWM2VMkRXElNja9YwB5A8bHqabiWQyvBeZ97+f/nTTO/aT\nn9D79a1vtW7EvuYaMtc7XWfTiFbhs2HnzW8m5fvuu6lYtQurYiefTMZ2u7z1rTX/nVN+9CP6WUIV\n6ypEMeaEvXuBSATnnEIrMbYNb8P2EQ8Lngas8I3F42TmnJ+vvumfm3sOc/k5XLj5Qu8UOzbDT03R\n+osrrlj5eQ5H9LBV2XYV0uIi8OEP07H+9V+TqtAA/v6S6p4pOl/OVwuuZvREe9buRCVAE1q8fur8\n88M7sXXGGRSw+cgjFLbpFE2j7KZEwp5B/qqrSK1xOwA2lyPf59hY63DTsMLZY4pCQaXN9p+2w+gV\nc+Kheu1ryQP54x87G7golehme3BwbeywXUOIYswuqkrJyieeiEu2XYbNA5vx7jPf7V+G1zLnbjwX\nETlSXXWEG24gv8QXvgB86UvY9SKZez2LtNB1UsKeeILu0t/zngYHeS4d0733No3ecErbVUi3305L\n1d/73pZ3uG5PVOq6jqJabDtdy59f0+rYW95CAcZeTIe5iZs7K3/zG2o7XXMNKYJWWb+eQmkff5zC\nOt3irruApSVSmDp1rc1JJ1Ga/OSkPSXz+edJcTzlFBoMcALfKC8sOFMx776bbix5SlPQNYhizC4H\nDtBdysknY6RnBD9+249x7Q7/R797o704c/2ZeGbmGczn52kS69vfptHk734Xu3/wBUiqhgs2eRQT\n8K1v0Yn7jDMoJLBRMRqN0pTY4cMUeOoBbduUd95Jd8ttWi6sjLnVpixUCqsnKRuw5k38AK1Huv32\ncJr3jZxxBnnaHn2U9sI6gY3YTlqB9dEgTtF14Ac/IFXpzW9252cGxU03AZs2Af/2b41X/LTi6193\nRxVjrr+efs4PfmD/Z9x6K/0MO3soBaFGFGN22buX/mRvVIBcvOVi6LqOhw8tx0eccALwne8gd+lF\n+H3xAE55+iiGX5xy/4F/9Svgq1+lAvDv/771nRonVnvUqmxZjL3wAvnFLrqooU/MiNvKWDu/GCNM\n/B2GG+rYSy9RVMYrXtG0bW6KK66g994dd7ijPD/+OKlCV1xBbcpOJh4HPvEJagdbyR577jk6v516\nqjvp9gDtbbzkklqMiVWefpq+91WvEjsguxBRjNklnaY/l3dSBskK3xjT349H/5+3QB1fhwsnFdqH\n6OYI/NNPU5J8b29TM/wKXvlKUsjuuce9YzDQMtqC/TTXtB+ucFsZazdJyaz54NdO4/TTScF77DH6\nzw4//CH96dQg399PrfcDB2rnJSe4te8wLFxwAcWAPP20+XgJbmvanaBsBv9OG+RBtsUNFVUQWkQx\nZpe9e+lN6uSO1iW2j2zHaO8odh/cvSKSYdehh4CxMVz8x7fQnfOnPkUKVqXi7AGPHgU+8pGaGd7M\nMufeXjJmP/sscOiQs8dvQEWrQJIkKHKd8VvTqH3T22sqI8grZaxdm1KWZMSUmFDGOgneWWlHHcvn\naVXY6Kg7Bnm3Msempyn+5aSTKMqjW/jQh2jS/CtfofNXK/bto9/Baae53zK/4AJgyxZK819cNP99\nCwu0LmvLlnBtphC4hijG7KBpdAe6dSvFJASMJEm4cNOFmMvP4bm55wCQcXzXy7vQF+vDzqveRbvG\ntm2jFRcf/CDtZbRDoUCF2PQ08Od/bs3Yyq3K++6z99gtaLoKac8e8qpdfjlNrLXB7RR+nqRsOuVp\ngCcqueUqCDmnnUaK7+9+R/4xK9x5J+VgvfnNpBg75eKLqdj4+c+d5fnddht9/w03dFcC+8gIna9y\nOeDzn2/9td/4Bv3ptioG1HyrvBTeLD/9qf34E0FHIJ5VOxw6RJNGIfCLMTwtuetlWrL88rGXcThz\nGBdsuoCKlOOOI2P/FVfQxeOd72zpW5jLz+GlxZdWflDTgE9/mvxXb3oT8I53WDvIV7+aTm4etCqb\nFmMWWpRMVIm6Em3Bk5TtVDFG+MY6EKN3zKxfS9epTeWmQT4apdU4s7P21+5UKhQY3ddX25zRTbzx\njRRge++9zb2rrIrt3Old8PC115KX7Yc/NOdhcxp/YpcjRyiuSOALohizQ4j8YswFmy+AJElV39hD\nBx8CAFy4+cLaF/X2An/7t8Cf/mkt5uGnP2348w5nDmN6aXrldN8//zOZWs8+G/j4x63fNY6M0CTa\nH/5gX5lrgKZrUDV1tV+sXKZR8NFR4LzzTP+8mBKr/kwn8CSl2aXxYqKyAzntNDJlP/64eXXsD3+g\ndv3ll1NavFvwDYfdzLF77qH1QW94A50rug1JIjN/NErq2NLS6q9hr5hbE5SNGBig5+rwYXOBtL/5\nDX3t1VfT9/qBrtNjimLMN0QxZocQTVIyQ4khnDJ2Cn4/9XvkyrmqQrZqBZIkURbYl79Md1qf+QyF\nIpZrbbmSWkKxUgQAZEtZ+uBddwHf/CaweTPwd39nv7Vy+eV0p/fAA/a+vwFNJyl37aI1MVddZUna\nd8s3Zta8z/DXCWWsw7Cqjnm1V/CMM2jK7p577IWcdnLivlm2bgVuvJF8Y1/5ysrPpdOkmJ1+uvfr\nuPh3bMbIH8TzUirRa7lc9iwbUrASUYzZgZWxEBVjABVeqqZi18u78OjhR7F1aCsmkhNNvvgi2gO4\nfTtJ4O97X3WpbrUAA5ApZch39ZnP0NTWP/wDpT/bxYOIi6bFGJuZLbQoAfcmKs3GWjAi+LVDOfVU\n8k7+/vftW4QzM6Qub9tGkRZuIkmknuRywP33W/ve554j+8IFF1BGYTfznvfQv/HWW1daNbyaoGzE\njh3AmWfSDePLLzf/updeAnbvpq/dscPbYzJiLOadDnwJTCGKMavoOiljGzf6JxmbhH1jX3/s6yhU\nCu1T9zdtotDW176WCq53vhPYsweZYgYAmdkzh/bTqqNKhRS0E05wdpCbN9Ok1sMP00XDBRquQspk\nSH074QTLRbNrythyu9GsZ4wnKkWbsgNhdexrX2utJHhtkLc7VemVWhdGYjFalaTrlD2mqnROv+8+\nUhf9mlbk3zVHnDSCP+f382IsxpysbxKYRhRjVpmept2PIVPFAGDn+E70x/qxf34/gDq/WDN6eiie\n4kMfIh/XzTcjc8dtUCQZw3oClb//O+QXZqggu9DEzzPDZZfRG3z37rZfaoaGq5B+/Wt6jKuvtnzR\nc1MZMztJyfREe1DRKmKistM45RTK+tqzh/ZWNsJokLeo1ppm61ZS6nbvNu/LzGbJZ7Zhg/O1P53C\n2WeToX/fPuDf/91fVYy54gry0f70pzSlXk8+T/tBR0ZW7/v1GuPxlN2ZLBe0RhRjVmG/WIjM+4wi\nKzh/0/kAyIR+zsQ55r5Rkmgy8n//b5SSvSh+85/R/y/fQfIL/wS8/BIyf3SNu34Fl1uVDduUvksG\ndgAAIABJREFUrAzYmApzQxmzOknJCBN/B9POO3bffXQzd+213hrkr76afJl3323u63/2M7rwX3/9\n2opN+PM/B4aGaIvI/fdTK/D88/17/GiUpmkzmcarrO66iz7nVvyJFYzKmCjGfGENvfNcIqR+MYYN\n+2dPnI14JG7tm887D5mv/xOwdSuSd92D5AMPA6ftROa973L3bjGVorvwBx5w5Y2+qhg7coRS0V/x\nCltrQ2IKrXVyooxZnaRkRLxFB3PyyRTfsmcPrTmqh3cSem3E5oEVM61KTaMWZTQa/gXtbjM4CHz4\nw7U2nJ+qGPPmN9NzdeutKwt4jj+RZf/3g+q6UMYCQBRjVgmxMgYAl59wOXaO78QNp9nzGGSH+4FP\nfQrJ1/8R4udcgNhffBhZ1eXCQJJIHctmnS9aRoNVSD//Of3J/hmLcFHnJGvM6iQlI9YidTisjvGS\naeb55+m1fv751Er0kpER8j099RQZwFvx29/S11x5JTA87O1xhZGrr6Yoj9e/3lL8jWuMj9O5cN8+\n4Iknah/fs4c+dtll9DV+UizSa7evj/4uijFfEMWYVdJpOtmFdIHuUGII377u27j0+EttfX+mlIES\n70HPJz4NfPWrSI5MoKJV3G+b8QoYFwJgVyhjug7cfjvd6b/mNbZ+niRJiCpRR21Ks2uQ6hHKWIeT\nStEF9IknVnoi/Y4n4BuRdplja8m43whJoiDr//W/gts4wL97Vk6BYJ8XVsV4QE0UY74gijErLC5S\nCyykqphTOF8sGUtCWj4xJWNJAMsRF25y1lnUJrjvPnMp1C1YsZfy2WeB/fspiNPBtGtUjjpqU3Lx\narVNKUsy4pG48Ix1MvXesWyWbhDWryeTvx9cdhnlCN5xR/PpziNHyCpw6qkUXisIhnPOoaiTX/2K\nhi5mZ2vxJ+eY9P26CfvF+vqoTSqKMV8QxZgVQpi87yYcaZGMJ6sf64/1r/icaygKXZimp2m9kgNW\nrEJiI6zNFiUTVaKOUvjzlTwicsTSJCWTiCTERGUns2MHTb899RSpY7ffThe4t7yFXvd+0NtL6vOh\nQ8CTTzb+mh/9iG6E3vrW7tpD2WlIEj0HlQpFn9x2G/1/UM8LK2M9PRQDIqItfEEUY1YIuV/MKax+\ncQEGAPFIHDEltiII1jV4qtJhq7KslskvpmlUjCWTpIw5wMlEpaZrKFaKllUxRkxUdgE33UR/fu1r\n1KKMRoHrrvP3GFq1KksluugPDFDOoCBYXv96KqB/9COKP+ntpY8FQT5PilgsRq/bSkWk8PuAKMas\nEMI1SG6SKWagyAp6oyvH7pPxpDe+sQsuoIW5DiIuNF2DpmukjD32GK05ec1r6ETiACdZY7xKyqp5\nnxG+sS5g+3ZSx55+GjhwgF6TIyP+HsMFF9Bj/vznq1PUf/lLYGGBCsS4xalrgfv09lLkydGj9J/X\n8SfN4EnKxPKNJEdqiFal54hizAp799JKIBtxCWGnpJZQUktVj5gRz3xjiQRw8cV0sTpwwNaPWGHe\nZwXAYYsScKaM8SSkbWVMTFR2B+wdA4LZ96goFHOxuLg6YPnWW6kFdv31/h+XoDHG5yKo54UnKXuW\nbyRFMeYbohgzSy5HO8RSqa70VzTyizH8Mdd9Y4DjANjqKqSKRnf769fTcIBDnChjVtcg1VPdUSna\nlJ3NSSfRUuo3vpGWTwdBo1bl00+Tj+ySS7ryxrJj2bYN+G//DXjb2+j/g4DN+6IY851I+y8RAKDM\nF13ver9YI2UspsQQU2LuK2MArV+RZSrG3vMey99eXYX0yKNUMN9wgysp4hz8aidrzOqC8Hp4olK0\nKbuAP/mTYB//lFNoKfa99wJLSzQh53fMhsA8H/lIsI/P5n3RpvQdoYyZJeTJ+07JFDOIyJGmPqdk\nPAlVU5Eru7Pcu8rAAI1vP/kkeSUsUm1T/vpe+oBLO/+ctintTlIyPRGxo1LgApJE74lSifa1Li6S\nh2zLFvd2zQq6B6GMBYYoxszSxZOU7BczTlHWw4qZJ1OVHAB7//2Wv7WiVYBMBpGHHqFIAZfkfY7K\nsNqmdDpJyYhWpcA1eD/rnXcCP/kJFWZrbQ+lwByFQm2SEqj9KYoxzxHvRrOk0zR15PUqkwBo5Rdj\nPPWNvfrV9KeNiIuyVgYefpg8Yy6pYoD9FP5q8r7NSUpGmPgFrrFpE3DGGbT66N//nc5jb3hD0Ecl\nCBs8SdljOHexMiayxjxHFGNmKJVot9yOHV15N9nKL8bElBjikTgypQx0tzNn1q8nb8ujjwIZa8Ve\nRasAux5EBDJNjrmInRR+u2uQ6hHxFgJXueYautjOzJCp38F2CkGXwpOUCYOqL8s0lSuUMc/pvsrC\nC55/HlDVNesXY5Ix8o15otZcfjn9jh980NK3VQ6/DDz7LCLnnAesW+fqIdlJ4be7Bqke0aYUuMqV\nV9bS/9fqHkpBa+r9Ykw0KooxHxDFmBm62C9WrBQpX6xFi5LxbDUSYDuNv3LvPZAgQbnmWtcPyY6J\n3602pZioFLjK4CDlnr397aTwCwT11E9SMiKF3xdEtIUZuniSstEKpGZUfWOlDNZjvbsHcsIJwHHH\nAbt2UVvYTIK+rqP8m/sQjcRqQwAuYswaM6t08SRldVemA3oiPVgoLNC6JweTmQIBAOCP/zjoIxCE\nmVbKGEDqmMPNJoLmCGXMDHv3ksR/4olBH4nr8HRkK78Yw76xbCnrvm9Mkkgdy+eBhx829z3PPIPK\nkUlEzj2f8pNcxmrWGE9SOlXFGOEbEwgEvpHP03WuvuAS8Ra+IIqxdqgq8OyzVIh14V2BWb8Y46lv\nzGIav3b7z6BJOiKvdl8VA6y3KZ2GvdYjJioFAoEv6DoZ+OtblIAoxnxCFGPtePFFepGucb8Y42nE\nxc6dtNj4/vsBTWv9tZUKKnf/HEgmET37PPePBdZXIjldg1QP/xyhjAkEAk8pFFbupDQissZ8QRRj\n7WDzfhf7xcy0KJmqid+L1UiyTOrY/Dzwhz+0/tpHHkF5cQ648EJEYu4oUfUErYzFI3EAYqJSIBB4\nTDPzPiCyxnxCFGPt6OJJSjNhr/V46hsDzLcq77gDFQnAxa90xSzfCKsp/NxOdMszJksyEpGEaFMK\nBAJvaWbeB0Sb0idEMdaOdJrM5du3B30krpMpkV/MqpLjqW/s3HOB3l6KuGhW7OVywD33oLJpAjjx\nRM+KMasp/IVKwbVJSiYRSUDVVMvhswKBQGAaM8qYKMY8RRRjrdB1KsaOO44KhC6iWCmirJYtqWKM\np76xWAy45BLg8GHguecaf8299wLFIsqvuRyQpGo70QvMpvC7PUnJCBO/QCDwnGaTlIBI4fcJUYy1\n4vBhIJsVfrE6+Hs88Y0B7QNg77gDAFC57FIA8EwZA8yn8LvtF2NEvIVAIPCUVpOUjEjh9xxRjLVC\n+MUaElWi3vrGXvlKevM38o3NzACPPALs3InKBAXPelmMmc0ac3uSkuGfJ0z8AoHAE1pNUjIihd9z\n2l7FUqmUDOArAM4EUATw3nQ6/Zzh8+8A8BEAKoBvpdPpr7b7no6Bk/e7sRgrZRBVoraVnGQsiZnc\nDHLlHPpiLgeu9vUB551HafyHDwMbN9Y+94tfUOzFNdfQknDA03R640RlD5qfrNxag1RPIpKAJElC\nGRMIBN7Qyi/GiBR+zzGjjF0HIJFOpy8C8HEAX6j7/N8DeA2AVwL4SCqVGjbxPZ1Bl8ZaFCoFlNWy\nqRVIzWBFjRP8XafZVOWdd5KH4corUVbLkCUZsuSdwGs2a4w9XW63KSVJQlyJC8+YQCDwhlaTlIzI\nGvMcM/2dSwDcBQDpdPqhVCp1bt3n9wAYBFABIAHQTXxP+NF1KsY2bKAlu12ElRVIzTD6xlzfUwkA\nr3418Dd/Q8XY299OH3vhBeCZZ8jgPzyMytRBT1uUgPmssXw5j6gSNXc8pRKprlu2AENDbb88EUmg\nUCiIHZWdyIsv0gXspJOCPhJXWCot4fn557FteJujmzm3jmXf7D5oepuA6A5jKDGEE0d8XL1nphgz\nZo15sHpOYK4YGwCwaPi7mkqlIul0urL89ycBPAZgCcD/l06nF1KpVLvvWUUqlboFwKctHb2XzMwA\nc3M1haaLcOIXY7jFmSlmoOs6JEly6/CI0VHg9NOB3/+eQmCHh0kVA4BrrgEAVLSK60pUPWaUMU3X\nrG0ymJ+nk9rcnKlirCdKC8PzlbwoxjoJTQNmZ+nGrlTqivbOwWMHUVbLmMvPBV6MLRQWoOkaeqO9\nnqrjflKoFLBQWICqqVBkxacHLdC0ZLTFuUXEW3iOmWLsGADjVUbmoiqVSp0B4PUATgCQBfC9VCr1\n1lbf04x0On0LgFuMH0ulUlsBvGDiGN2H/WJd1qIEnPvFmGQ8iemlaW98YwBw+eXAnj3AAw8A114L\n3HUXRYxceik0XYOma6FQxiyb9zOZlX+2wbgWaSA+YO4xBMGztFQzPGcydIPRwWSKmaqq7kmsjUUy\npQwkSUJqLNU1xdjhzGFMZiaRKWUwlGh/o+YYnqRsp3aJYsxzzLyCHwRwDQCkUqkLATxh+NwigDyA\nfDqdVgEcBTDc5ns6gy6dpGS/mJMWJePpaiRgpW9szx4y819xBZBIVJUqr5WiiByBJEktlTFLsRa6\nTnEpAE0n5dt7wfjnionKDsNYbJssvMPM4cxhALSmi88jQaFqKpZKS+iL9nVNIQYY7B9+Fbs8SdnK\nvA+IYswHzMgKtwG4MpVK7QJ5wm5MpVJvB9CfTqe/nkql/hnAb1KpVAnA8wC+DfKPrfgeT47eS7pU\nGeM3uRstBuOJY0P/Bsc/bxVbtgAnngg89FDtzs3QogS8jbUAyEAfkSMtoy0srUHK5wFVpbaAqtJF\nupVXA7WJSmHi7zC46FaUji/GjhWPIVvKYjAxiGQsiYPHDiJTymCkZySQ46n6Xh1YLcJIX6wPkiR5\nNxhVjxm/GCCKMR9oeyVLp9MagPfXfXiv4fNfA/C1Bt9a/z2dRToNjIwA69YFfSSuUg17deEkxq1O\nzhtz3TcGkDr2zW+SX2xsjNYlwb9iDKCssVw51/TzlpQxviivX09KXyYDjI+3/BaeqBTxFh2EplEx\n1ttLXrGFhY72jU1mJgEAG5O1mJlMMbhijM9jQfvW3EaWZPTH+pEpZlDRKt6f38zEWgAihd8Hukff\ndZNjx+hCmUrRXsouIlvKuuIXY5LxJDRda1msOMI4QHHVVXRSQM3D5eUqJCYqR6HrerUArMfSJCUX\nY6OjdGHOmrsD7on2QNXUtuGzgpDAfrFkkv4DOlYdY1VsKDGE3mgveiI9UGTFO3uCCTJF8ot1WzEG\n1DoOvqhjZpUxQKTwe4woxhrRpWGvbvrFGM9XI518MqlIQLVFCfirjLWaqORJSkt+sXicCrFk0rJv\nTKhjHQIXXl1QjLFXbCI5AQDVIoj32/qNqqk0NNRlfjHG092/9ZiZpGRiMTpfad0VJRIWuu+V7AZd\nGvbqRqRFPVUTv1cnDkkCPvpR4OabgR07qh/2tRhrMVFpaZKS/WJ8cbZwkRZrkToMfk77+0l1iEQ6\nshg7VjyGpdJSVRVjPL8Ja0G3+sUYLjI9/91qGhVjZlQxQPjGPEYUY43oUmXMyXLwZtT7xjzh8sup\nGDO0jP1YhcS0UsYsrUEyqiXGP01cpIUy1kFoGrUpe3tJdQCoKCuVKEagg6hXxRhf1Zs6vDiPhQlJ\nktAX60O+nG9qjXAFfi2284sxohjzFFGMNWLvXpreM+5E7AIyxUx1ybebeO4bawAXRoErY1bWINUX\nY7EY/WeyGBMTlR2C0S/G8P+b9AiGgWaqGIBAfWPsF/Mk2zAk+OIbs+IXA0Qx5jGiGKsnn6cVJqlU\n1SzeDRQqBVS0iid3k0G0LCpaxfO9lEwrZcx0m5L9YonESn9GMkmty1zrQlZMVHYQ9UW38f87qFXJ\nqphxgpIx+sb8HCrpdr8Y44vyyJOUohgLBd37arbLs8/ShbPbWpQe+MWYIFoWvox9LxNTKI6g0UWn\nUCkgqkTbry7J5ajo6q+b/rKgmIiJyg7B6BdjOsw3tlhYrKpizVrwvk79LdPtfjHGF98YK2OiTRkK\nRDFWT7ea9z30WUTkCHqiPd76xuooa2XfirFqCn9dm5ILI1PmfS62knW/fxsmfqGOhZhGfjEmmewY\n39hkdnWuWD1B3IR1u1+M8cU3ls/TDYKZSUpAFGMeI4qxerp0DZJXfjGmP9YPTdewVF7y5OcbUTUV\nuq77ujQ7KkdXtSlthb3WF2OxGEVdZDK1PYZNEGuROoBsdrVfjOmQViWrYsM9wy0HU4Lwja0Fvxjj\n6WokTaObArOqGCCKMY8RxVg96TRdILduDfpIXIPvrry8m/SzZeFnrAUTVaKrlDHTa5B0nS7A9X4x\nhn1jbfLG+HGEiT/ENFNAgVrbMuTFWHWCsn+i5ddJkoRkLOmbb4z9Yv2x/q72izGsPHpyTrXqFwPI\nQx2JkLorcJ3uf0VboVwGnn8e2L59dYuhg3FzBVIz/GxZBFKMNUjhN62M5XJ0J9roAg2YvkjHlTgk\nSRJtyjCTyVAES703EOgI39hiYRG5cq6tKsb4+b7v1hVIzfDUN2Z2DVI9IoXfM0QxZmT/fkoY7jK/\nWNX06qEy5qdvrJox5sMqJKbRRKXpScpmLUrGZPtKkiQkIgnRpgwrrfxiTDJJF7OQ+sbMqmJMNfTZ\nh1ZldQipy/1iDE+seuIbsxprwUSjpOKLFH7XEcWYkS72i8WUmGd+MSYZS/riG+N2od/KmPGxAQuT\nlI2m64ywb4z9Ri1IRBLVFUyCkNHKL8aE2DdmVRUDgN5oLxRZ8cWekC1l14xfjPFMeXSijAFCHfMA\nUYwZ6cLk/apfzIdRcL9aFkF5xoCaMmZ6krJZvlg9Zn1jYi1SeGlXdAOhLsasqmKMH76xilZZU34x\nxjPl0eokJSOKMc9YO69qM+zdSybFk04K+khcw0+fhV8tCz9XITH1WWOm1yC184sxJi/SYi1SiGnl\nF2MSiVD6xhYKC5ZVMcaPmzA/rBZhpOobc/N3a2eSkhHFmGeIYozRNGDfPmDbNmobdQl++izYN7ZU\nWvLUN+bnKiSmvk1peg1SO78YY9LELyYqQ4qmUeHdyi/GhNA3NplpnyvWDD82cHgZWh1m2DfGG1Rc\nwc4kJSOKMc8QxRjz4ov0Iu2iFiVAd5R++MUYP3xjYWhTVpUxs+b9VmoJYNo3JiYqQ4oZvxgTslYl\nq2IjPSPmMvPq6In2ICJHPFXGMqUMZElGX3Tt+MUY15VHJ8UYCxWiGHMdUYwx7BfroklKP/1ijB8t\nCz/3UjL1Kfzs2Wp58TLrF2NM+MbERGVIMauAGr8mJMUYq2ITSWteMSP9sX6U1JInvrGKVkG+nEdf\nrA+SJLn+88OO68qj1TVIRvg8JrLGXEcUY0wXTlIGsTrED9+Yn6uQjBhT+POVPGJKrPUkpVm/GGPB\nNyYmKkOGGb8Yw8V5CIoxp6oY4+VN2Fr1izG90V53fWN2Yy0A0ab0EFGMMayM7dgR7HG4SBA+Cz98\nYxWt4qt5n+EUflVTUVbL7vnFGJPFmJioDBlGv5hs8pTa308XtEKw7ebqBKUDVQzw1je2Vv1ijNE3\nVr+SzRaFAg2RRGzc0EoSfZ8oxlxHFGMAtZP27gWOOw7o6x5PQqZE+WI8CegXXvrGeC9lUMqYruvV\nC07bqTOrxVg0SqpJG9+YMPGHDCt+MSYErcqFwgLy5bxjVQzw1je2lv1ijGurkXiS0o4qxogUfk8Q\nxRgATE7SSbHL/GKqpgZyN+llyyII8z7Dahz/u0z5xXgFjln6+8k3lss1/RIRbxEyrBbdxq/Neh+W\n2gy3VDEmGU+ipJZQrLg3JbrW/WKMa8qj3bBXIyKF3xNEMQYIv5jLeOkbC2IVEsOPeax4DECbScql\nJTpZmfEQGTGhmPBEpWhThgQrfjEmYN/YfH7eNVWM8eJ9v9ZWIDXDNd+YE78YI3xjniCKMaArJymD\n9FlE5Ah6o73IlrLQdHfvnoJYhcRwu9fUgnA7aonx61soJjxRKZSxEMAqZl+feb8Yw3ljAfjGJrPO\nJyjr4YLJzdVIVfP+GvWLMZIkIRlPOveNuaWMAaIYcxlRjAE1ZaybirFSBvFI3He/GNMf64eu61gq\nuesbC0ObEkD7SUoupqwWY+wby2Ra+8YiPdB0zdWWkMAG7BezqoACgfnGWBUb7R11TRUDvPGNCb9Y\nDVeUR6GMhRZRjAGkjI2PA8PDQR+JK+TKOaia6ssKpGZUfWMutyqDWIXEGFujLc37dv1iTDJZm9Br\ngvCNhQS7Rbfxe3wuxiazk5AkyfIOSjO46Rtjv1h/rH9N+8WYqm/MSbHrZJKS4eBXkTXmKqIYm50F\nZma6yy8WAp+FFy0LIJhVSIyxAGypKLBfzM4FGjB1kRYTlSHBjl+Micd9940ZvWJebOVwM+JirUda\n1NMb7YUiK/bPqW5MUgJCGfMIUYyxX6yLirEw+CwUWfHENxZkm5JT+IE25n27fjHGxJ5KoYyFAFWl\nwtuOX4xJJoFKxRffmK7rOJw57JkqBrg7Sc0FXZAKf5hwnDfmZA2SEVGMeYL/V7Sw8cwz1FbqkmKM\nc7CC9IsxyXgSuXIOS6UlZ4WhptF/kUigxRhArcqSWjJn3rejlgCr88YatGh4ojJXziFXbt7ONIME\nqX1mml+Uy+ZWR/lAsVKEqqvNv2BxEVALQM8Q0OI5iCvx5v7CZBKYm6PXjBNTtQnmC/MoVAoY7R31\nbFdtIpIg35hLypgvfjF1+Tlut+A9BCRjSSwWFpEpZTDSM2Ltm52sQTISQDFWKRdp44jD50iRFN/2\nNFtFFGNPPkkv0i5J3s+WslA1FcOJ4P1vyVgSU5jCYnHRWTH2/POkQOzcGcheSiMxJYaSWmpevOg6\nHatdvxiTTALT07VJvTokSUJPpAe5cg7PTD9j/3GW2TSwCRv6Nzj+OY5YXASeew7YuhUYHQ30UDLF\nDPbN7mv9RUengMwcMKIC0wtNvyweiWPn+M7GnzS2pNets3m05ji6dNRTVYxJxpOYz8+jWCnavvBV\ntAoKlQIG4gPe+sU48FvXgdNOa3jjEyaMyqPtYsypMuZzCr+ma3jm0TtR0srA1hMcP0cnj52Mvlj4\nBkJEMXbttZS8P2LxhR1SjmSPAABGe4O9mAF04ogqUUwvTWND/wZ7alYmAxyjXC9MTaEcKQdi3me2\nDG5BSS01Lwad+sUYLsYymaZbIbYMbsFCoXkRYJbZ3CyOZI9gXe+61hOiXnOYQkiRywVejC0WFwEA\nIz0jzV9vk8eAxCgwtrVpm3KhsIBipQhN1xq/Znz0jRUqBSQiCc+VgWSMijFW6O3gm19sbq7WvpuZ\n8bwgdkpPpAeKrNhTHt2ItWCiUd8M/DOZKZRyWQxE+tCjxoEh+0KDIinh6QLUIYqxHTuAoaGaVN3B\nZEtZHCsew0B8IBQ+C1mSMdE/gZcWX8KR7BFsHths/YfwBVpRgKNHURkro7dnwN0DtUBvtBe90d7m\nX+DUL8YYFZMNjRWr/li/K89zRI7g0LFDOLp01NXcKUssLNSmR4vBx3VkihlIkoTjh45vXESpKoAp\nYGwjMHRc05+j6RqmK9MoVorNLwLcqsznnasWTVA1FaqmIhbz3rpgVG/Gesds/QxfQqt1nbavSBL9\nd+QIMDYWanWMfWOLhUWU1JI1K0o+T0WUE8WeiUbp52mafb+kCTRdw5HZFyFLEk7o3YjIMQnYsinU\nz5FdhIGfe9BdUIy5vd7EDcZ6x6rqGPu9TJPJkG9qcBDYuBGqWoY+NxuYX8wUTv1iTCRiak+lG4z3\njSMiRzC1NAVVC+h9MEkhpJCkwEfmVU1FrpxDX7SvuQJqMtKCL5YltcW/yYfVSEWVCty44r1fJhFJ\nIKpEHfnG2C/W8sbHKbOzVPiPjZEiViqROhZybE2qaxr9+9zyJfrkG5vJzaCcX8J4bASReA89X3Nz\nnj5mUIhijIuxisVCIWRkS1lkipnQqGIMe1Q0Xau2UE3DqtjGjcDYGCqKDMzNIaqH9K5I09zxizGc\nN7bk/sJ1I7IkY33/eqiaiqmlKU8fqyGsio2M0MUi4GLM1DSySQWUix8uhhriQ94YF4N+DfX0x/pR\nVsu28sbKahmFSsHbfDFdJyVMkoCJCWD9elJ4Jic9v/lxiq2JVbf8YowPWWN8zZBLJayPjwBbttDz\n1QHPkR1EMdYlyhirYhuTGwM+ktWM9Y4hpsQwvTRtfiT72LGaKtbbC8gyyutHAU1HZCakd0a5nDt+\nMcbHZdKsjh1dOuq/OsZF98QEeahUNdCbI1MtMs4Xa+LnY0wpY/E4Xdw8LMa4KPKrGHOSN+ZLNA+r\nYuvWkcoTjdL/l8uhV8ds+cbc9IsBvihjM7kZlNUyxqV+6oYMDJCK2aXqmCjGuqAYyxQzVVUsjFMi\nkiRhQ/8GaLpmXnnhttXGWnFZGRoEIhFE5hbDmXHjll+M8TGhXZZkbOjf4L86trBAd+2sioUg3Zv9\nYk3fSxb2UZoqxoBa3ljemxBffny/xvqd5I157hczesWMfswNG2rqmObuTl03Yd9YsVJs/7pi3FbG\nPC7GqqqYJGO93kfnBUWh56hL1TFRjHE7qYOLMV76G0ZVjLGkjrEqNjREqtgyFWjA2BgikICpANpp\n7XC7GItE6OTpg28MANb1rauqY5b9fXYxqmIAqURAYCZ+N/1iAG1tkCW5fbvORNCvE7hN6pcy5sQ3\n5rlfbHaWin1WxZhIpGPUMcurkdwKfGU8Lsb4OjGeGEVE1WuKXizWteqYKMY6XBljVWwwMRhKVYwx\nqmNtvWP1F+hlymoZGBpCNN5LsQ9hUsc0jS7Svb3uhkf65BsDVqpjR5eOev54mJ9fqYoBgStjbvrF\nGM6ma4nHKmhJLUGRFV+HX5KxZNX/ZRbP/WKsisly4yllVseOHAm1OsavT9Mmfp6kdOvTLMzpAAAg\nAElEQVTc5GExxh0URVawXlmenDcWkV2qjolirMMN/NUJSo+DHN2A1TH2AjTk2DEqPOpUMWB5FZIk\nIbJhI50ow6SOLS3RicEtVYzxWDGpx1d1jFvRxqI74GLMTb8YE4/EUdEqrb147BvzyB9oOQbBBXiQ\nyEqrsvr798ovNjNDr62xscabHiIRYHw89OqYJd+Yqro7SQl4WoxVVbG+cURKy+cgYzFmVMdmZ11/\n/KAQxVgHK2OZYgbZUjb0qhgjSRImkm0mK5uoYoBhL+X4BnpDhkkdcyvSoh4ffWOAj+oYq2Kjoysv\nEgG3KU37xfr7TecrBe0b40LQ72LMsnpj+FpP/GI8QdlMFWN4sjLE6pgkSUjGkuZ8Y263KOkAPEnh\n52uDIisY7xtvvsKJ1bEjR7pGHRPFWAcXY52kijGjPaPkHcs18I61UMWAWjEWVWL0ZtQ0ejOGAQs+\nIkuwb4yVNx9Y17cOUSWKqeyUd+oYG6jri25Fof8CUMZM+cVsFN2WijHjY7hE1bzvQ8aYETu+sUwx\nA0VWvPGLsSpW7xWrp0PUMdPKoxfFGOBJCj/nUfJ0d9PBg1iMnscuUsdEMSZJdPLvsGKs01QxhtUx\nXddXq2PGXLEGlLUyFFkhL8nYGL0hZ2aCV8e88osxPvrGgJo6pukaprIetIKNXrF4gwIhFgtEGTPV\nIrMxpGEqa8z4Mz0qxvxWxgBrvjFP/WJGVWz9+vZf3wHqWHVitV2x69aC8HpiMfrduHTtNKpi6/uW\nn6NCgR6nkQrdZd4xUYwBdAHtMM9YmHPF2tFQHVtcrKliTe7gKlqlZkBmVSUM6phXfjHG51YlUNuc\n4Lp3TNep6G6kijHxOD2vPr8nTbXIsllLfjHAgjIWi3niG+NJTr9iLYxYibjwNNLCrCrGdIA61hvt\nJd9Yu9+t27EWjMu+MaMqpsjL1+RyuflxczZcqdQV6pgoxoCOU8aOFY9VVTFP14V4REN1rEGuWD0r\nijGA/EZh8I65HWlRj88mfsBDdWx+nu52m6liQGAm/rZ+sUrFsl8MqBVBptLoPfCNBa2MAebCXz1b\nDm5VFWM6QR2LJVFSS60L/ULB3UlKxsVirKkqBrRW9IzZcB2ujoliDOi4YmwyE/5csXaM9owiHolj\nOjeN0tw0qUvDw03vglRNha7riMqGu1pWV/hkGxRemfeZAHxjgAfqmDFss5kqBgRi4q9oFeTKOfTH\n+l3JFzMSkSOQJdlcQKcHKqifeynriUfi5BszqYwpsoKeiMsKjlVVjDGqY9PT7h6TS7RVHnmS0osF\n9C4WY3yOWd+3nlQxwJyiF42SZaUL1DFRjAEdZeJnVWwoMdSRqhjDuWO6ruPI/j30wRYX6LJGb/hV\nOUlBq2Ps5fLKL8b47BsDPFDHWBUbHW2uigGBKGOmWpQOFNCYEmvvGTP+bBeLMc4Yq17kfCYZS6Ki\nVVr6xniPpet+MU1rnSvWjvXr6X0dUnWsrfLo9hokIy4VY3x+qU5QMmaPvUvUMVGMAR2Vwl+doEx2\nzgRlM0Z7RhHPlzBz7AhKA30t74CqsRb1xVjQ6pjXfjEmAN8Y4KI61mwFTSMCUMZYWeAJtcZflKGT\nfoNJ33bEI3Gomtp+72csRv9+N5WxSjGQFiVjxjfmmV+MB3zWraud563A6lilEkp1rCfag4gcaf67\n9covBrhWjDVUxQDzx25Ux0Lq7zODKMaAjlHGjhWPYam01PGqGCNJEiYyIHVsoPVLsWkxBtSUlulp\n/yMRvPaLMQH4xoCV6ljbzQmtMKuKAYEoY5kSreBp6RfL503to2yEaRM/QM8155k5pKJVoOlaIC1K\nxoxvzBO/GA/32FXFmPHxUKtj/bH+5r6xkCtjqqY2VsWA1pOU9Rg3J3SoOiaKMaBjUvi7SRUDACwu\nYqQSRXxoFDNatuWFiqcuo0oDzwerLUGoY177xRjjnkqfLwisjvG0k2XMesUYzhrzSRmraBXky3n0\nxdzZR9kI0/EWxsdwYaoySPM+Y8Y35olfjFWx8XF7qhgTcnWspfLohzLm4KZpOjfdWBVrN0nZ6Fh4\nsrJD1TFRjAEdoYx1myoGADh8mNSxE05vnDtmoKUyBtQUFzbr+gF7uPr6vPWLMckkFTY++sYAUscm\n+ttsTmiFURWLmSwK4nHfnkev/WKARWXMxZZ0kLEWRtg3li+vnhItqSX3/WJGVczKBGUzQuwda6k8\nejVJCdDNVTRqWxlrq4oB1opI4/RrB6pjohgDOqIY6+RcsYYsLFAbZngYI8ObEI/EMZObaXqxaluM\nBeEdy2bp8bxWxRgXFROrGNWxpntFG2EmV6wRHCjpg1ptqkXGfjEL+WJGLMVbGH1jDi8qYVDGgNar\nkTxZgeSWKsYoSk0dO+rhmjAbNPWNeTlJyTgoxpp6xQB7QbUdro6JYgwIvYF/sbBYVcV6oh6+sfzE\nkCsmSRIm+puk8i9TXYUktxhN5+wqv9Qxr1YgNSMgEz+A6nOk6RqmlixMVs7NUbvRiioG+Grir/rF\noib8YjaVG0vKGEDPtao6zhvjtmjgxVgL9cZ1v5jbqhjD6tjUVOjUMfaNrSj2vVqDZCQatZXCr2oq\nppamEJEjq1UxwH57ldWxDpysFMUYEHplbDLb+bliK2BVbGSkeucz0jPSUh1rGm1hxG91LJOhx/RL\nGVMUmuQLwDcGkDoWU2Lm1TGrXjEjPpn4jX6xpi0yF4puS1ljxsdyWHgHtZeynngkjpgSa+hrct0v\n5rYqxigKXexDqI41XI3k1RokIzZN/EeXjkLVVKzvb6CKAfYHD1gdC/HmhGaIYgwItYGfVbHhnuHu\nUcV4B6XhAi1JEjYmN0LX9WqorZGKVqntpWyFX+qYX/li9QTkGwNq2XCm1TFWxXiPqBV8Ksb88Isx\n8UjcnIEfcG16NuiMMSPJ+GrfGKs5yVjSHb+YV6oYw5OVU1Ohunnn1++KNrCX5n3GRjFmVMXW9a5r\n/EX5PJ3HbUwur8gdC5mC2QpRjAGhVsaqE5T9XTJBubBQWxJdd9cznBhGIpLAbH52lYKwahVSM/xS\nx9gv5leLkgko4oIxrY5ZyRVrhE9tSj/8YkxMiZnLGgNqvjF+ndmkWCkGrooxnOFmVG9M5btZgcOf\n3VbFGKM6FqLJyoa+MS9jLRgbxVhbVaxSof/sHnck0pHqmCjGgNB6xhYLi8iVc12vijHGnZX16lhF\nq7T2ixnxQx3zK1+sngB9Y8BKdazlZKUTVQzwTRkz7Rfr77ftF2MsxVsAjn1jnDEWtF+MqfrGDAVD\nNezVDb+YppFixQWTV4RVHYsnV/rG8nl6H3mp3FssxkyrYoAzRc+YO9Yh6pgoxoCaFBqiNxbQharY\n/HxTVYwxqmN8UqloFei6bk4ZA1aqY5OrW56uwH4xh2qJZdg3trQU2EmG1bGZ3ExjdcypKgbQvzMS\n8VQZ45ZZy0gFF3PkbJn4jcdgEX7/hKUYY9+YsZWWLWWhyIo7cT1eq2JMSNWxFUMSqkq/Cy9VMcDy\nTVNbVQxwR9Ez7hXtEHVMFGMAXTQUJVSesa5UxbgwamHmNqpjrLy0jbVoBBd8s7PuqyuaRgMIfvvF\nmAB9Y0DtOWqqjjlVxZhYzFNlzPQKJMAVBdTvYqxq3g84Y8yI0Tdm9Is5hr1iHEHhNSFUx6pt4GLG\nH78YYEkZaztBybh17MbcsQ5Qx0QxxihKaN5UQBerYqOjbe946tUxW8WYl+pYUH4xJuBWJUB7RWNK\nDNO5Ou+YG6oY43HWmKkWWTbril8MsJg1BtCFzoFvLCwZY0aM6o2rkRbT0/Q68VoVY0I4WVn1jZUy\n/vjFgNrv2kQxNrU0VVXFmm66ANw79g5Tx0QxxoSoGFsoLKxJVYxZ4R3LTrZehdSK4eGaOuZmuyso\nvxgTsIkfaKxgAqj9rp2qYoDnJv5sKeubXwywoYwBjnxj7E0Li4EfWLm6x7Xl4EZVzEuvWD1c+IVI\nHUvGkyirZRSzC/QBr5Uxkyn8qqbi6NLR9qoY4GySsp4OUsdEMcaEqBhj83rX5IoZVbF2S6KXYXVs\nLj+HpTK14ywpY4B3k5V+54vVEwLfGNBAHXOSK9YID038lvxiLhXdETkCRVbMG/iNj22j8A6jMhZT\nYlXfWKaYQUSOOL/hNKpiftoGuPhT1dCoY1XlMTNLH/BaGQNMFWOsim3o39BaFeNJSreKyA5Sx0Qx\nxoRkopJVsZGeESQiPryR/MDGBdqYO3Z0iU50losxwH11zOgXc+POzS4B+8aABuoY+/PWrat5SZzg\noTJmOtICcFUBjSkx68qY8VgsUKwUQ5MxZoR9YyW15DzSIihVjFm3LlTqWFV5zM56P0nJtEnhN6pi\n6/qaTFAyXgTVhnivqJG2V7dUKiUD+AqAMwEUAbw3nU4/t/y5DQC+b/jyswB8HMC/Lv+3DcAxAH+S\nTqefdffQXcaYNRaEKXuZqlcs2YVeMZOqGDPcM4xEJoFChTwEpqMtjHAR+MILVBRu3Wr9ZxgJ2i/G\nJJN0AchkAj2W0Z5RHMkewfTSUayflhBzwyvGeKiMmWqRcb5YrwuTfsvElBjy5TxUTTVXJEWjdGHi\n152FdmlJLYXyhi4ZS2I2R8qNY7/Y0aOkpGzcGMx5m4vAQ4foWNxQhB2QiCQQgYRM4RiwzieLi9HE\n3+A5YFVs88Dm1qoY4M3gAatjk5OkogZRtJvAjNRwHYBEOp2+KJVKXQjgCwDeBADpdPoIgMsAIJVK\nXQTgrwH8C4APAMim0+kLU6lUCsD/C+Aq9w/fOWW1jKJaRL8xhd+p18UmC4UF5Mv5cKhipRJw7Jjz\nnzM15ahttTG5Efvn9wOwqYwBpI5NTtKUn1NFa3GR/gy6GOMW6fx8YK9XAJAAbChG8eLMi3g5U8Hg\nxFagvAjY2x0MCRKGe4bppM3/Lo+UMVmSm0cqlMtkJB4YcMUvxhizxnplk0Vefz+1WHI504MEYcsY\nM5KMJ4FiAcgXkJTHgbyD9hHnivkxQdmMdevoOKam/G+VNiCpRTGvVTClZ6DkfGjNqRmgtAAcOwJo\nK5VO7myYUsUA7wYPxsepWD5yhJ6vILsaTTBzdbsEwF0AkE6nH0qlUufWf0EqlZIA/BOAd6TTaTWV\nSp0K4M7l70mnUqlT2j1IKpW6BcCnLRy7KxzKHMJcfg5nSuugAIFKzXy3GApV7MAB9wziNlQxZrhn\nGD3ZHhQrRfvFmCTRnfP+/cDLL9v7GUZkOTi/GKModGFeWgJefDHQQxnVdRzJZLGAChbiBWDB2fHk\nyjlsGdxSyxpzWRkrq2UUKgUMxAea+8W4/ety0W008ZvO1hoYoGJsft50McYTm2GKtWBiSgyJyWmo\nxQJ68kPOf2BQqhgTMnVsoCRhHsDByhyw4ENbrrAA5CaBOQmoDDb8ElOqGODdPk2jOra0FPzNdAPM\nXN0GACwa/q6mUqlIOp02zpu/AcBT6XQ6vfz33wO4NpVK/RjABQA2pVIpJZ1ON6100un0LQBuMX4s\nlUptBfCCiWN0hK7rqCgIvBgra2VIkhS8KqZp1BZJJJyfWCSJLiYO2D6yHRWt4mx33fAwcNJJ7jy/\niUQ47qy2bastsQ4QCcAOdTOycsVxS+9w5jCmc9NY37+eCpdYrHa37BLVfZStWmQe5TRZjrcAgKEh\nagVxi8WEHy+M5v0qxSK2RzdAH+oDNmxy9rMkiX4/QTM+Hg51TFUxulhGZOB4aMed4s95SjkGLEpA\nYgIYXt0ClCUZg/HGRdoqCgX3JinrmZigIiyEhRhgrhg7BsB49HJdIQYA7wTwJcPfvwXgFAAPAHgQ\nwGOtCrEgYbWlIumIA4EWY6b3L3rN0hL5UwYHKTw1YKJK1HqsRSMGTZ4QOoVYLBTPDwDEALhxJJqu\n4cWFF3EkewTHDR5HJ+ZcjtqGbgwFwKRfzKNizFa8Bbf5X3qJLvabN7f9ljDGWlTJZhGTo8DY+tC8\nfh3Di8kPHaLnaGNAk/BTU5A0DUPH7QD6xvx5TD0BxGYBpR/ocfB8lstkE/Kq6yBJoS3EAHPTlA8C\nuAYAlj1jTzT4mnMB7DL8/TwAv0qn05cA+A8A+x0ep2dw8aOy6BJgCr+qqVCkEEw+BZ2jJVizjPaM\nIh6JYyY3QwWLByb+tn4xgO7QZdl1P57l/ZQM57bxyp82hFoZ69bzC+eOHT0azE09R2zwomy/sLEs\nvCF+BdWGFDPF2G0ACqlUaheAfwDwoVQq9fZUKnUzAKRSqXUAjqXTaWNE9LMA/iKVSu0G8FcAPuzy\ncbsGFz8VafnwhTLm6j4+gcAKkiRhot8Ql+FyvAX7xVrmi+k6XRg8CMzkqAlLyhhQ22jAy7DbELa9\nlCvIZKhg8DqQ1G9kmZ4jVTX1HLkOx2vwkmy/sJDC3xK/VjiFlLZX/nQ6rQF4f92H9xo+Pw2KtDB+\nzwyA17hxgF5jbFMCCKwYUzV1xfEEhqZRmzKovYuCNc9Izwgms5OYyc1gQ3wLYoBrypgpv1ixSAWZ\nR3folrPGmLExmgYz4R0rqaVqyGyoKBbpuRweDvpIvGHdOnqOjh71bzUTUFvL5LcqBphO4W8LK2Nr\ntBgLgQs5WKptSmX5LjmgYoz3LwZ+8mS/WLe1EAQdwwp1rDxPH3SpGAvSL8bElThUTa2+501jVMfa\nbJQoqaXwqmJA96ruRnXMz1R+bo36rYoxbhRj/L6zOXnf6az5YoyLnwqCVcZsLcP2gm71cwg6ipGe\nEfKOVY6hpJVda1Oa9osBnipjgEUTP8PesZmZphe/slqGpmuhjLVYE+cXTuXnQFqvYVUsGvVfFWPa\npPCbws2dlB3I2vxXG1jVpgzIwK/qIWlTdvudq6AjqKpjkoTJyrwryhj7xZLxZOuYFK+VMTvxFgxP\nVrZQx0Jt3s9mu9MvZsRv7xh7xXgpdhDwoItddaxcpn9DN78u2iCKMS7GtEqgy8KrbcogpymFX0wQ\nIlgdm9VzKOWd56mZalECVIwpimebDRwpYwCFKLeYrORJzdAVY+wX62ZVjOH9rF6rY2FQxYCaf9Hu\nTdMa94sBohiDLMmQJImUqRAUY4EqY2HZuygQwLAsPhrBZN5cpEMreDl4y+XUuk5Fg4fj9Y6LMVbH\ndL2hOsY/N3QZY2uhRcmwOmZy+tU2U1P0GEF5xRin8RZeJe93EGu+GAOoAKpoFZLP1/I0Jae5r4WT\npaAjGE4MI5Hox2x5EcWcs/Vc2VIWiqy09ovxJKWHd+i2s8aMtFDHQtumXEvFGED+Pi/VMaMqNuZT\nwGsz3CrGhDK2tqkWY6yM6Xr7b3KZUExTZjJ01y38YoKQIEkSJoa20GTlvP29oqbyxQBf7tBtZ40Z\naaGOhXYvJeeLrRX1w2t1LCyqGOC8GCsU6DW9Vl4bDRDFGMinpWoqdH5BB6COBd6mFH4xQUgZTo4j\nocQwm5myZ3qHRb8Y4PkdekyJ2f63VBkdpemz6ekVXh3OGDO1mNkvikW6UK8VVYzxSh0LkyoGuKOM\nxeNUkK1RQvRuDY5q1hj/NtZiMSb8YoKQIiUSmIiPQS+VKJXfBuwXaxn2Cvi2kiWuxKHpmvWsMSOc\nO1anjhXVomhRhgWv1LEwqWIAKZ6SZK8Y40nKNayKAaIYAxCOYkzVVUiSFNzdrIi0EISVWAzD0QEk\nNBmz+VlbilKmlIEiK+iJtFG8PJ6kZByb+BlWx2ZmgFIJZbUMXdfD2aIE1l4xBrivjoVNFQOoEItE\n7BVjwi8GQBRjAAzBr3JwKfyB76UUfjFBWJFlSNEoJpRB6LqOyeykpW8vqSUUK8X2fjEfJikZR1lj\nRuq8Y6E270eja1P9MKpjbTYnmOLIEfpZExPhUMWYaNRetMUaXxDOhOiZDI4w7KcMtBjTNCCXE34x\nQXiJxzGsJ5CIJDCXn7NUxFT3UbbzixUKnk9SMq4pYwAwMlJVx4p5UqBCFWtRKJBispZv9Fgdm552\npo5VKvQzolFSRcNELEbvH6v/PqGMARDFGIAGbUqfU/h1XYeqqcEFvgq/mCDsxGKQAGxMrLOsjoXN\nLwa4FG/BGNSx0uRBACFTxtZyi5KR5babE0wRVlUMsG/iF5OUAEQxBqCWeh+UMhb4KiRxshSEneXl\nwcNyr2V1zJJfDOg8ZQyoqmPFmSmgXA6XZ0zkFxJGdcyu0X16mhSosHjFjNgtxsQkJQBRjAEIvk0Z\neOCr8IsJwg4b6kslSuU3qY6Z9osBvq5k4awxx54xZlkdK6klYHY2fMrYWvWLGTHuFbUzWWmcoAxj\n4WKnGBM7KauIYgzGNmUwBv5AA19VteYXC5vsLRAwy8oYikUM9wyjJ9qD2dwsCpVCy2+rtijb+cWA\n2iQlX1Q8Jq7E3VPGAGBkBMUIEFnMQC77a7VoCvvF1roqxoyNtdwr2pSwq2KAvWJMrEGqIq6+MExT\nShp9IKBiLBBlbGlJ+MUE4cegjAHARP8EALTNHaua99v5xXiS0sc79JgSc541ZkSSUBodQlyOApPW\nJk49Q1ggVsLZcFbVMfaKhVUVA5wVY0IZE8UY0KBN6bOBP1DPmDhZCjqBumLMrDpm2i/Gk5Q+3qG7\nFm+xTFktQ08mEUv0AbOz9mIG3EbkF67GqjpWLlOOXJhVMcBeMSZiLaqIYgyALMmQJRkq33AE1aYM\nYppS+MUEnYAs08m+WCtcWB2bzDRWgdgvlowl2/vFArhDd9vEX1SLgCQhPrGZCsswqGPZrPCL1WNU\nx8xMVhonKMOqigH0PEuStZuAfF5MUi4jirFlFFlZuSzcRwJrU7JfrK9P+MUE4ScWoxO9Tgo2q2Nz\n+bmG6pjpSAsgkDt0LsZcibdAraiLjYzTv2N2dkXx6jvCL9YcVsdmZlorSUavWNhyxRoRjVpXxsQk\nJQBRjFWJyBEqiiKRtTNNyfliQhUTdALxOL1eDSf7jcmNABqrY7wcvD9m4vUdgDLGWWOuKWPL7c5Y\nJL4ilT8whAWiOcbJylbP0ZEj9DyGXRVjrBRjpZKYpDQgirFlInIEqqZCl2XfPWOBTVOKk6Wgk6jz\njQHAUGKoqTqWKZJfrDfa2/5nFwq+TlIC7rcp+efEI3FgeDh4dUycX1ozOtraO9ZpqhhA7x+zKfzC\nL7YCUYwtw34tVQbdrSy3QvwgsDZlNiv8YoLOoUExBjRWx0pqCSW1ZC7SQtfpwuDzHboiK4jIEdcM\n/Cv2Uhp3VgblHeN8sXiIAmjDRN1e0VV0mioGWDPxi0nKFYhibJnqRCX/RnxsVaq6CkmSIEs+Ph2q\nSrEWwi8m6BQMWWNGhhJD6I32rlDHwu4XY2JKzFUDf0SO1M4jrI7NzfmvjhUKpI4IVaw1zdSxUok+\nFo93jioGWCvGfAxZ7gTEVXiZavBrABOVgSwJFytKBJ1GE2UMACaSNFl5OHMYQM0vZjrsFQjkouBm\n1lhJLa1cgyRJwMaNwahjokVpjmbqGKtiYc4Va4RVZUyShHK6jCjGlqkGv7Jtq9uLMXGyFHQaXIw1\nUHlYHZvPzyNfziNTzCAiR9ATNVFgBXiH7lbWWEktQdf11WuQhofp3+W3OibOL+YZHaWCZHqabjRK\nJZqy7DRVDLCujCUSnVVseogoxpYJaj+lrutQNTWYYkySqE0pEHQCnDXWJMeIvWMvLb6EkloyN0UJ\nBLqSxS0Tf9W8rzRQGYLwjmUyVDwL1aM99epYJ3rFmBbq9Qp4klKY96uIYmyZVW1KnyYqOX3f18BX\nkS8m6FTqssaMDCYG0RvtNb8CicnnKdLGx0lKhosnp1ljK8z79bA65tdkZT4v/GJWGRmhwnVmpqaK\njYwEfVTWMauMCfP+KsSVeBkuhvxWxgKZpBR+MUGn0iBrzAirY4BJv5imUYES0B26W8oYtzlXeMaM\nTJCnzhd1TKxAso5RHetUVQygmxpJal+MiViLVYhibJmgpikDCXwVfg5Bp9KmDTKYGER/rB/xSDz0\nfjHAkMLvgmfM+PNWYVTHCs13ebqCuNmzx8gIPUc9PZ2pijFmgl+FMraKADZTh5Nqm9LnYiyQwFfh\nFxN0KsZ4iybKy47RHdBhMicw4Dt0zhpzrIwttzmbFmMAqS3795M6dsIJjh6vJcIvZg9JAk4+ufb/\nnUo0SjaYVhQKYpKyDqGMLVOdpuSTuE+eMd/blMIvJuhkTBiELWX2heAO3Y2ssZJaQlSJtv53Gycr\nvVLHhF/MGbLc+edlMyn8+byYpKyjw59195AlGbIkoyJp9AG/2pS6z21K0UIQdDJNgl9tEwLvSjwS\nh6ZrKKsWFiwb0HUdJbXUWhVjNi576rzyjgkLhKCdib9UIq+m8IutQBRjBhRZ8T30tdqm9GuaUpws\nBZ2M2dF5swQ4Sck4NfGXtTJ0XW8ca1HP0JC36pg4vwjaFWMhUKPDiCjGDETkSPdPUwq/mKCTkaSW\nWWOWCHiSknEab9HWvF+Pl+pYNksFc8zksQi6j3Y3TGINUkNEMWYgIkegaip0RenOaUr2i/X3d74v\nQbB2icebZo1ZIiQXBafKWNtYi3qGhoDeXvfVMeEXEwDmlTHRplyBuCIbWDFR6bOB35dpSpH/I+gG\nYrGWWWOm6ZJizLIyBniTOyZalALAXDEmJilXIYoxA9XgVxm+til5eMBzxMlS0A202FFpiZDcoTvd\nT2kq1qIeozrGvweniPOLAGhfjImdlA0RxZiBFfspNc15G8QEqq76lzGWzQq/mKDz4Ttqp76xkBiJ\nZUl2lDVmSxkD3PeOcb6Y8IutbVql8PMkpfCLrUIUYwZqbcrlit0HdayiVfzxi1Uqwi8m6A7cmqgs\nFOjCEQk++zoeiTsy8LfNGGvE4CCpY/PzztWxXI7Ol0IVEwDNU/hDokaHEXFVNlANfvUphV/Xdaia\n6k8xJvLFBN2CG1ljPEkZkjv0mBKDruuWs8YsZYw1wi11TJxfBEbaFWMhed+FCVGMGajtp/Qn3oID\nX33JGBN+DkG34IYyFoKwVyN2TfyWMsYa4ZY6Js4vAiPNUvhD9r4LE6IYM1BtU8KaJm8AACAASURB\nVLKv0OOJSl8zxjIZak8Kv5ig0+GsMSfKWMju0O1mjdn2ixlxqo7pOp1f4nHhFxMQzW6YxCRlU0Qx\nZqA6TelT8KtvxVilQm+Cvj4xwSLoDuJxaoPYHbIJ2R26XWXMcsZYIwYH6dxgVx3L54VfTLCSZhOV\nYpKyKaIYM1BrUy5/wOs25XLgq+fTlMLPIeg2nGaNhU0Zsxlv4YoyBtRyxw4ftv69okUpqKdRMVYs\niknKFohizAAXRX7tp/RNGRMnS0G34dTEH6JJSsCBMrbc1rTtGWNYHVtYoMlIK4gwaUE9jYqxkIQs\nhxVRjBng8NWKpNEHusUzJvxigm7DiYk/ZJOUQC1rLBDPGGPHO6brpLwLv5jASKNiTMRatEQUY3X4\nuSycpyk9LcaEX0zQjThRxkJ6hx6PxG15xqJKFJIb7+2BAevqmPCLCRohlDHLiGKsDkVWfG9Tehpt\nIVqUgm7EiTIW0jt0q1ljuq6jrJWdtyiNWFXHxPlF0IhGKfz5PHVohILaEFGM1RGRI1BlOtF1hWdM\nmPcF3YiT/ZQhM+8zVuMtOGPMlRYlY1UdE8WYoBnR6MqbJTFJ2RJRjNURkSOAJEOF1h3TlMIvJuhG\nJIkKMjvKWMhiLRirJn5XYi0aYVYdM/rFuC0lEDCxGNlkdL02SRmy91yYEMVYHdWsMRm+GPh5aMCb\nB1j2i/X3i7sRQffBxZjVrLF8noqHkExSMlbjLVw17xsZGKBzRjt1TPjFBK0wpvCHVI0OE6IYq2NF\n1pgPbUpPW5SihSDoZtjEb0Ud0zT6+hDeoVtWxtyKtWiEmdwxcX4RtMJo4g+pGh0mRDFWR7UYk7z3\njKm66n2LEhD5P4LuxI6JP8R36FaLMc+UMaCmji0uNlfHRDEmaIWxGAvx+y4siGKsjmrwqyLRXbTd\ndStt0HUdqqZ6r4wJv5igW7Fj4g/xHbosyYgqUdMGfk+LMaDmHWukjrFfLJEQfjFBY+qVMVkWOylb\nIIqxOmrK2PIHPFLHPJ+krFToDSD8YoJuxU6bMuR36DElhpJaomnuNhQrRcSUmDsZY41IJmvq2NLS\nys/lcnRuFKq7oBlcjJVKtUlKQVNEMVbHijYl4JmJnwNfPcsYEy0EQbdjp00Z8uDJuBKv5oe1Qtd1\nlNSSd6oY02yyUkTmCNrBxVg2K3ZSmkAUY3VwMaZ6vCzcc2VMFGOCbsdOm5InKRUPvZoOMOsb87xF\nyTRTx8T5RdAOfn9y4S6UsZaIYqyOarSFxyuRfCnGZBno7fXm5wsEQWM1a0xVQztJyVgtxlzPGGtE\nvXdM1+n8IvxiglYoCr1HueUulLGWiGKsjhXRFoBnxZinga9smBR+MUG3YyVrLOQtSsB81phvyhhA\n6lcyCRw7RupYLkdtJ6GKCdphXH0U4pugMCCKsTokSYIsyVA7WRkTfg7BWsGKib8DijGzypinGWON\nMOaOiRalwCysnIpJyraEK4I6JETkiOcGfk+LMXGyFKwVjCb+dif7kC4IN8LFWLt4C1+VMWClOsZF\nrZikFLSDi7EQv+fCQttKIJVKyQC+AuBMAEUA702n088tf24DgO8bvvwsAB8H8E0A3wGwFYAK4KZ0\nOr3X1SP3kIgcQQHeKmOeTlMKv5hgrcAFWLHY/uYj5LEWQC1rrK0yttzG9K0YA8g7lk7XfHfCLyZo\nB79GQvyeCwtm2pTXAUik0+mLQIXWF/gT6XT6SDqdviydTl8G4C8B/A7AvwC4BkAknU5fDOAzAP7a\n7QP3EkVWoMk0Pt5xbUrhFxOsJazEWxQKoZ6kZMxkjXGshWcZY43o768VvEJ1F5hBKGOmMVMJXALg\nLgBIp9MPpVKpc+u/IJVKSQD+CcA70um0mkql9gGILKtqAwBah+bQz7gFwKctHLtnROQIoERQ0VVE\nO60Y49UlooUgWAsYlbFW8CTlwID3x+SQuBLHUmkJZa3cUPnijLH+WADv8c2bgf37gZER/x9b0HkM\nDACzs8DQUNBHEnrMVAIDABYNf1dTqVQknU4bzVRvAPBUOp1OL/89C2pR7gUwBuDadg+STqdvAXCL\n8WOpVGorgBdMHKOrUDEmQ9XLiHoV+qqpkCXZ/TvbDmjFCASuEY2SAtxOGQvxGqR6jCb+RsWYr7EW\n9fT2Ajt3+v+4gs6ktxc47bSgj6IjMNOmPAbAqEnLdYUYALwTwNcNf/8QgJ+n0+kdIK/Z/9/evcc3\nWd7/H38ld1pO5dQhRURHBb1UEE9M0HnYRIcyxeGUH4JVdDCd24QOVA4yGQPEgdt0IqDo18OcoOj2\ndf6+4CbuIPAF3dSJTi8URAF/UoYgFtqmSe7fH3dSekhpkqaGpO/n48EDktyn3Mb2nevwuR4zxhz+\nPwWjHJ8DPj8hIi3aTdkig/ez6JeOSLP5fF4ga6plLIu+pDRV3uJLH7wvIi0ukTC2Fm8MGMaYwcDG\nONsMBNbVeryHg61pnwF5wOE9UKOWOksiZVsYq6jwfkFpGrG0Fm3aeGMlD1VrLAvKWsQ0Vd7iSy9r\nISItLpE08HvgImPMOsAHXG+MGQ0UWGsfNMYcAeyz1tb+Sfgr4BFjzCtAPjDNWru/wZEPUweXRPK1\nSBhzXZeIG2mZgq+xBVk1eF9ai0TKW2RBWYuYWMhqrLyFWsZEck+TYcxaGwFuqvf0e7Ve34VX0qL2\nPuXAyHRcYCbEQlLIoUXCWIsN3q+q0oKs0vrUHsTfWBjLkpmUkEDLWLT7MiNjxkSkRagCfxx1uikj\nEe9PGsVqjKU9jGVRV4xI2jRV3iI2kzJL/r/w+XyHrDUWDAe9bfyq8yWSKxTG4qjTTQlpbx2LtYyl\nveBrFnXFiKRNLIw1Nog/C7+ktHHaNFprLBgOkufP+3JrjIlIi1IYiyMWkkIttD5li3VTZtGMMZG0\naWp9yiz8kpLv5OO6LtWRuiUaYzXG1EUpklsUxuKo000JaQ9j4UgLdlP6/QdbCkRag6ZqjWXhl5Sa\nNSrrlbfQ4H2R3KQwFofP58PxO4T8LdsyltbZlK6rmZTSOvl83heQprops6hlLNbyVX/cWGyGpcKY\nSG5RGGuE43MIxzJNNnRTBoPeRIMs+oUjkjb5+Y3XGquo8F7PgpmUMY3NqKypvq8aYyI5RWGsEQF/\n4GA3ZZqXRGqRMJaFXTEiadPYIP5w2AtpWfYlpbFaY+qmFMlNCmONCPgDRHw+bzZTuseMRUtbpHU2\nZRZ2xYikTWOD+LP0S0pjLWOqMSaSmxTGGuH4HXAcQm44O7ops/SXjkhaNFZrLEu/pMRqjcUbwK8a\nYyK5R2GsEQF/ABw/ITfUImHM8TvprRMUm0mpNSmlNapdhb+2LP6S0sZpQ3Wkuk6tsapwlWqMieQg\nhbFGBPwB8DuE3Ujax4yFI+H0dlHWnkkp0hrlWMsYNKw15rou1eFqdVGK5CCFsUY4PifaMtYy3ZSa\nSSmSRrFaY/FaxrJsJmVMLHTFuio1eF8kdymMNSLgD4Av/WEs4kaIuBGNFxNJp1itsdotY7GZlFn6\n/0X9QfyxmZUqayGSexTGGlFnfco0hrFY9f20FnzNwrX3RNIuVmssEvEeZ+EySLXVL2+hljGR3KUw\n1ohYWAo5pDWMtehMyiz9pSOSFvXLW2R5i3GDljGVtRDJWQpjjaizPmUaB/DHaoylPYxpJqW0dvUH\n8Wfx4H1ouD6lWsZEcpfCWCMOdlPizVaMdX00U826lOmaTamZlCKe+uUtsrxlzOfzke/k1xkzphpj\nIrlJYawRsbAUSvP6lGnvpqyq8gJZlv7CEUmbeC1j+fleq3GWioUx13UJhoPkO/mqMSaSg7L3p1QL\n8/l8OH6HkD9acDFNYSw2gD9tYSzLu2JE0qb2+pShUFbPpIypKW8RrqI6XK0uSpEcpTB2CAF/gHAL\ntYylbTZllnfFiKRNrNZYMJgzX1Ji4euLqi8AlbUQyVUKY4fg+BxvAD+kbRB/2rspc+SXjkiz1a41\nliNfUmrCWPCLOo9FJLcojB1CwB8g4vMRcSPp66ZM92xKzaQUOShWa+zAAe9xloexWEtYrGVMYUwk\nNymMHUJssfBwGsNYWmdTaialSF2xLyWff+79neX/b8TCV+znhmqMieQmhbFDcPwOOA4hN5TWMOb4\nnfTMiNJMSpG6YoP4q6u9YJbFMymhYUuYWsZEclN2/6RqYQF/APxOWtenTOsi4VoGSaSu2t31Wd4q\nBgdrjcX+rRpjIrlJYewQ6nRTpmkAfzgSTl/BVy2DJFJXfq2Woxz5khILY6oxJpK7FMYOwfE5aW0Z\ni7gRIm4kvYP3IWd+6Yg0W461jMHBcWLqohTJXQpjhxBrGQtF0jNmrEUKvvr9dVsDRFqzWK0xyJkv\nKbEQphpjIrlLYewQAv4A+PyEcdMSxtJa8DU2kzJHfuGIpE3sy0mutIw5ahkTyXVpaqLJTbHQFHJI\naxhLS8tYbCZljvzCEUmbI4/0Cr9m+UzKmM5tO1PYrpCvtP9Kpi9FRFqIwtghxEJTyOemZQB/Wgu+\naryYSHxfya3QEvAHKO5anOnLEJEWlBtfHVtIbNZj2E96uynTMZtSyyCJiIjkBIWxQ/D5fDh+h5AP\nr0swEmnW8dLaTamWMRERkZygMNaEgD9AyB9dLLyZrWNpnU1ZWQmOo5mUIiIiWU5hrAkBf4BwrM5i\nM8NY2mZTak1KERGRnKEw1gTH5xDx+4ikoQp/2roptSaliIhIzlAYa4K3PqU/LVX4Y7Mpmz2AX8sg\niYiI5AyFsSbEFgsPpyGMhSIhHL/T/PXlNHhfREQkZyiMNcHxOxBIz/qUoUgofYP3QS1jIiIiOUBh\nrAk13ZSRNHRTRsLpqTFWUaGZlCIiIjlCYawJNd2UNG8Af8SNEHEjzW8Zc11vAL9axURERHKCwlgT\nHJ8Djt+bCdmMlrG0zaSsrNRMShERkRyiMNaEgD8ATvPHjMUKvja7xpjGi4mIiOQUhbEmHJxNGTk8\nWsY0k1JERCSnKIw1wfE74PMR8jVvzFhauylBYUxERCRHKIw1ITb7MeSjed2UbprWpYzNpMzLa95x\nRERE5LCgMNYEn8+H43cI+0lLN2WzSlvEZlKqVUxERCRnKIwlIOAPEPK5mR8zFptJqcH7IiIiOUNh\nLAEBf4CQHy8IRSIpHSM2m7JZYUyD90VERHKOwlgCHJ+D6/cRacaMyppuyuaUtlBZCxERkZyjMJaA\nWHmLkBtOeUZlWsaMqWVMREQk5yiMJcAr/Or3ZkSm2DIWdsM4fgefz5f6hVRWaialiIhIjlEYS4Dj\nd7zFwpsRxkKRUPPGi2kmpYiISE5SGEuA1zIWIBTJYBjTTEoREZGcpDCWgJpuSlKrwh9xI7iuq/Fi\nIiIi0oDCWAK8Afx+bxB+Ci1jaasxBgpjIiIiOUZhLAGOzzk4mzJTYSzWMqZuShERkZyiMJaAgD8A\ngdTDWKzga7NqjGlNShERkZykMJaAWDdlOMWir81uGYtENJNSREQkRymMJcArbeEQckMpDeBvdhir\nqvL+VhgTERHJOQpjCQo4eYRIbbHwsBvtpkx1NqXGi4mIiOSsJptqjDF+4AHgFKAKGGet/SD6Wg9g\nWa3NTwWmAJXA2OhzbaPP97DW7k3blX/JHL9D2E9muilV1kJERCRnJZIOvgO0tdaeZYwZDNwDXA5g\nrf0U+AaAMeYsYA7wkLU2DDwafX4h8Eg2BzHwgtQBX2otY80OY1ogXEREJGcl0k15DrAKwFq7HhhY\nfwNjjA/4DfCDaBCLPT8Q6GetfTA9l5s5AX8A1/ETCVUnvW9sNmWzWsYCAc2kFBERyUGJpINOwOe1\nHoeNMQFrbe2R7JcB71hrbb19pwE/S+RCjDEzgTsT2TYTamqNRULkRyLgT3y4XaxlLKXSFrGZlAUF\nye8rIiIih71Ewtg+oGOtx/56QQzgGuDe2k8YY7oAxlr7l0QuxFo7E5hZ7xi9gQ8T2b+lxZZECkXC\n5IdCkJ+f8L7NWpdSlfdFRERyWiLNO2uBYQDRMWMb42wzEFhX77nzgNXNurrDiFdrzPFmRiY5bizs\nhlMv+KrxYiIiIjktkeaa3wMXGWPWAT7gemPMaKDAWvugMeYIYJ+11q23nwG2pPdyM8fxO+A4hKqS\nD2OhSIj2ee1TO7FmUoqIiOS0JsOYtTYC3FTv6fdqvb4Lr3RF/f3mN/vqDiM13ZRJtoxF3Aiu66qb\nUkREROJS0dcE1emmTKIKf83g/eYUfA0EvD8iIiKSc/QbHujdu3fc52+99VZ++MMfAnDj+Bv5x1sv\nc0y5y96qNux2vHA1ePBgli3z6t4+9NBDzJkzp84xIk6E6i7VrHlxDQDvvfceF198cdzzLV26lAsv\nvBCAM888k107d9IvGGS/38+H0bIW1113HT/7mTdBdfLkyaxYsaLBcYqLi/nLX7x5E//93//NhAkT\n4p5vzZo19OrViz179nDaaafF3Wbu3LmMHj0agEsvvZS33367wTYXX3wxixcvBuAXv/gFDzzwQINt\nOnTowDvvvAPA+vXrGTVqVNzzPfvss5xxxhkAHHfccVRXNywlMnHiRCZOnAjA9773PVavbjg08fTT\nT+e5554D4NFHH2XmzJlxz/f2229TUFDAli1buOCCC+Jus2jRIi655BIAzjnnHLZv395gm6uvvpq7\n7roLgKlTp/LUU0812KZXr16sWeN9DlauXMkPfvCDuOd7+eWXOfbYYykvL6d///5xt5k5cyZjx44F\n4IorruD1119vsM2QIUN4+OGHAfj1r3/Nr3/96wbb5OXl8f777wPwz3/+k+9+97txz7ds2TIGDx4M\nQL9+/di/f3+DbW6++WZuu+02AG666SZWrVrVYJv+/fvzwgsvAPC73/2OadOmxT3fG2+8QdeuXdm+\nfTvnnHNO3G3uvfdeLr/8cgC++c1v8uGHDef6XHnllSxYsACAO++8k8cee6zBNt27d+fVV18F4KWX\nXmLcuHFxz7dq1SpOOOEEgsEgxx9/fNxtpk+fzvjx4wEYNWoU69evb7DNueeeyxNPPAHAwoULmT8/\nfifC1q1bAdi4cSOXXXZZ3G0ef/xxzjvvPABOPfVU9u5tWM5x3Lhx3HHHHQDccsstPP/88w22Mcbw\n4osvArBixQomT54c93wbNmygqKiInTt3MmjQoLjbLFiwgCuvvBKAoUOH0nCSPQwfPpz77rsPgNmz\nZ7N06dIG23Tp0oU333wTgL///e9ce+21cc/3xz/+kZNPPhlI7Gd5SUkJr7zySoNtmvpZHrNp0yby\n8/OT+lleVlbWYBv9LP/yf5bH/p86HKllLEE+10fE58P1u/jd+sPjDiF6h1PppmwTPU+Vz5f0viIi\nIpIdfG4yweJLFittsXr1anr16pXRawlHwry5dT1dtv+HPseeAQlez56KPWzZs4WjOx9N9w7dkzvp\n7t2wdSsccwwccUTyFy0iIiJfmu3btzNkyBCAYmvt1kT3U8tYgrzZlH5CbiipAfzNWgpJZS1ERERy\nnsJYEgKBfG82ZQoD+FMKYyprISIikvMUxpIQCLQh7EaSahkLu962Kc2mrKzUTEoREZEcpzCWBMcJ\nECK5MJZyy1hsTUq1iomIiOQ0hbEkBPwBXMchHAomvE/KYUzjxURERFoFhbEkxKrwh6sTD2PhSLSb\nMtm1KTVeTEREpFVQGEuC43PA7yeUZMtYs2ZSKoyJiIjkNIWxJMSWRApFEi9vkXIYi7WMqZtSREQk\npymMJaGmmzKJGZVhN5x8FyV4YSwvTzMpRUREcpzCWBK8wq+OV2ssgTAWjoRxXTe1mZTBoFrFRERE\nWgGFsSTUdFMmGsaiNcaSDmMavC8iItJqKIwl4WA3ZWJV+GNlLZIu+KqyFiIiIq2GwlgSvNmUibeM\npVxjTC1jIiIirYbCWBJiLWPJjBmr2S8ZahkTERFpNRTGkuD4HXxOwOumTKJlLKWCr5pJKSIi0ioo\njCXJCeS1bDelZlKKiIi0KgpjSQoE2nhhLIEB/CnNptR4MRERkVZFYSxJgbz8hIu+pjSbUssgiYiI\ntCoKY0lyAvm4rpvQYuEpdVNqGSQREZFWRWEsSQEnz5tRmcBi4aFICJ/Pl9wAfnVTioiItCoKY0mK\nVeEPV1c1uW04Ek6t4GteHjgprGcpIiIiWUdhLEmOz0mqZSypLspw2JtJqVYxERGRVkNhLEley1hi\nYSzshpMLYyr2KiIi0uoojCWpppuyiRmV4UgY13U1XkxEREQOSWEsSY7fgUDT61OmNJNSLWMiIiKt\njsJYkmq6Kd3QoVvGUin4euCA97daxkRERFoNhbEk1emmPEQV/qQLvrou7N/vBTHNpBQREWk1FMaS\nVDObMt3dlPv3e+tSduyYjssUERGRLKEwliTH7+BzAk2GsXAkyW7KL77w/lYYExERaVUUxlLgBPK8\nMWEJtIwlPJsyFsYKCpp7eSIiIpJFFMZSEAi08VrGEhgzllDLWO3xYoEkBvyLiIhI1lMYS0EgL59Q\npIluymRmU2q8mIiISKulMJaCQCAfgHB141X4k5pNqfFiIiIirZbCWAqcvDYAhEKNLxYeioTw+XyJ\njRnTeDEREZFWS2EsBbGWsUOtTxmOhBNrFYtEoLwc2rfXeDEREZFWSGEsBQEnDxx/k92UCY8Xc121\niomIiLRSCmMpcHwO+J1DtowlHMY0XkxERKRVUxhLQcAf8KrwNxLGYgVfExovVl7u/a0wJiIi0iop\njKUgtlh4OFQd9/WEa4zVHi+m9ShFRERaJYWxFDh+B5wAITcUt9ZYwmEsNl5MrWIiIiKtlsJYCmq6\nKRupwp9wwVeNFxMREWn1FMZSUNNN6UYO2TLWZGkL1RcTERFp9RTGUuD3+fE5Aa9lLNVuykjE66bU\neDEREZFWTWEsRd76lPHHjMVmUx4yjGm8mIiIiKAwljLHySdME92UhyptofFiIiIigsJYyryWsfgD\n+BPqptR4MREREUFhLGWx9SnjLYnU5GxKjRcTERGRKK1MnSKnZrHwKurHqVAkhM/nw+9rJOtqvJiI\niBzmHnzwQdatW0co5P1Ou/322+nfvz9z5szh+uuvp2fPngkfa8OGDSxbtoxf/epXh9zus88+Y8KE\nCQC8++679O7dm3bt2jF8+HCuuuqqZr2fw5nCWIoCeW0ACFUHaVPvtSbXpdR4MRERSULv3r3jPn/r\nrbfywx/+EICSkhJeeeWVBtsMHjyYZcuWAfDQQw8xZ84ctm7desjzffDBB7z88ss89dRT+Hw+3n33\nXW6//Xaef/55pk+f3qz3ciiFhYU88cQTgPd+Zs6cSZ8+fVrsfIcLhbEUxcJYOM76lOFIWOPFREQk\na3Xs2JFPPvmEFStWcN5553HiiSeyYsUK4GBI+p//+R+2b9/O7t27+eSTT5g6dSrnnnsuf/nLX7jv\nvvsoKCigc+fOGGM488wza469cuVKHn30Ufx+P2eccQaTJ09O6JqmTJnC3r172bt3L0uWLGHp0qX8\n4x//IBKJMHbsWC655BKstcyePRuALl26MHfuXDpmQcOHwliKDraMVdV53nVdQpEQbQNt4+8YGy/W\noYPGi4mISEKaaskCalqUDmX8+PGMHz++ye2KiopYtGgRv/3tb1m4cCFt27altLSUoUOH1tkuPz+f\npUuXsnbtWh555BHOPvtsZs+ezfLly+nWrRuTJk2qs/3evXv5zW9+w7PPPku7du249dZbWbt2LV//\n+tebvCbwWvnGjh3L3/72N7Zv385TTz1FVVUVI0eO5Otf/zozZsxg7ty59O3bl2eeeYalS5dSWlqa\n0LEzSWEsRY7P8ZZEqtcy1uTg/fJyb7yYWsVEROQw9dFHH1FQUMBdd90FwMaNGxk/fjyDBg2qs92J\nJ54IQI8ePQgGg3z22WcUFBTQrVs3AAYOHMh//vOfmu0//vhjPvvsM77//e8DsH//fj7++OOEw1hx\ncTEAmzZt4p133qGkpASAUCjEjh072Lx5Mz/72c8AqK6ubrR793CjMJYib0kkh3Cous7zsYKvjdYY\n03gxERE5zFlrWb58OYsWLSI/P5/i4mI6deqEU69Hx+fz1Xn8la98hf379/PZZ59RWFjIv/71L446\n6qia13v16sWRRx7JI488Ql5eHs8991xNoEtE7HzHHnssgwYN4uc//zmRSIQHHniAo48+muLiYu6+\n+2569uzJP//5T3bt2tWMu/DlURhLkbdYuEMoXLdlrMkaY+Xl4POpZUxERA5b3/rWt9i8eTNXXnkl\n7du3x3VdbrvttibHX/n9fmbMmMH48ePp2LEjkUiEr371qzWvFxYWMnbsWEpKSgiHwxx11FFccskl\nSV/fBRdcwKuvvsro0aM5cOAAF154IQUFBcycOZPbb7+9ZgbonDlzkj52Jvhc1830NTTKGNMb+HD1\n6tX06tUr05dTRzAcZONrL1BYHaD4nMu8gAV8Xvk5H3z2AUd1OooeBT3q7hSJwJtvevXFTjghA1ct\nIiLSspYsWcL1119Pfn4+kydP5pxzzuE73/lOpi/rS7F9+3aGDBkCUGyt3ZrofmoZS1GsmzIUiS4W\nHvBuZWzMmOOL000ZGy+mLkoREclRHTp0YOTIkbRt25ajjjqKYcOGZfqSDnsKYyny+/z4HIcwoTph\n7JDdlBovJiIiOe6aa67hmmuuyfRlZBUth9QMgUC+F75qLRbeZBjz+byyFiIiIiIk0DJmjPEDDwCn\nAFXAOGvtB9HXegDLam1+KjDFWrvYGDMVGA7kAw9Yax9O98VnWiCvDUE3XCeMxWZTNghjkQgcOKD1\nKEVERKSORLopvwO0tdaeZYwZDNwDXA5grf0U+AaAMeYsYA7wkDHmG8DZwNeB9kBi5XWzjOPkEXYj\nuKEQscm9sZaxBqUtNF5MRERE4kgkjJ0DrAKw1q43xgysv4Exxgf8BhhjrQ0bY4YCG4HfA52AW5s6\niTFmJnBn4peeeYE8b7HwcHVVzY1stJtS48VEREQkjkTGjHUCPq/1OGyM9o75kQAAHD5JREFUqR/i\nLgPesdba6ONuwEDgKuAm4MloYGuUtXamtdZX+w9QnNC7yJBAIBrGalXhD7thfD4ffl+9WxsbL6b6\nYiIikgU2bNjAWWedRUlJCddccw0jR47k3//+d1qOXVpaSjDYcG3n1iqRlrF9QO3mHL+1NlRvm2uA\ne2s93g28Z60NAtYYUwkcAZQ152IPN040jIWqg7SJPheKhBq2ioXDB8eL+TVnQkREknDvvfDSS+k9\n5oUXwoQJTW42ePBgfvWrXwGwZs0a7r33XpYsWdLs08eOKZ5EwthavJavp6NjxjbG2WYgsK7W4zXA\nBGPML4EjgQ54AS2n1CwWHjq4WHgoEiLfya+7ocaLiYhIltu3bx+FhYW8+uqr3H///biuy/79+7nn\nnnsoLi5m4cKFvPTSSxQWFlJRUcGECRM47rjjmDx5MsFgkOLiYtavX8+f//xnLrjgAlauXMmdd95J\nfn4+O3bsoKysjHnz5tGvXz+eeeYZnnzySTp37kxeXh7Dhg3jiiuuyPQtaDGJhLHfAxcZY9YBPuB6\nY8xooMBa+6Ax5ghgn7W2ppS/tfYFY8x5wKt4XaE/tNaG4x08m8XCWLjaa2p1XZdwJIwTiDN4HxTG\nREQkeRMmJNSK1RLWr19PSUkJwWCQ9957j4ULF/L+++8zf/58ioqKWLx4MatWreKb3/wmr7zyCitW\nrKC6uprLLrsMgMWLFzNkyBDGjBnD2rVrWbt2bYNz9OzZk1mzZvH000+zfPlyJk6cyNKlS/nDH/5A\nfn4+11577Zf9tr90TYYxa20Eb9xXbe/Ven0XXkmL+vvd1uyrO8zVdFNGx4zFqu/HHbyv8WIiIpJl\nandTbtmyhVGjRjF37lzmzJlD+/bt2blzJ6effjqbN2/m5JNPxnEcHMehf//+AGzevJkRI0YAMHBg\ng/l/ADULhffo0YPXX3+djz/+mD59+tCuXTsATjvttJZ+mxmnAUzNUL+bMu5Myth4sQ4dNF5MRESy\nVrdu3QC44447mDt3LvPmzaN79+64rkvfvn3ZuHEjkUiEYDBYM9D/+OOP54033gDgzTffjHtcn6/u\n/L5jjjmGLVu2UFlZSSQS4a233mrBd3V40HJIzRDwB8DxEw5VAwcLvtapMabxYiIikqVi3ZR+v5/9\n+/czZcoUrLWMGTOGdu3a0a1bN8rKyjDGcP755zNy5Ei6du1KXl4egUCA8ePHc9ttt7Fy5Uq6d+9O\nINB07CgsLGT8+PGMHj2aLl26UFVVldB+2Sy3310Lc/wOOE5NN2XclrFYfTF1UYqISBYZNGgQ//u/\n/5vQtrt376ZTp06sWLGCYDDIt7/9bY488kg2btzILbfcwoABA1i3bh27du0C4OWXXwZg3rx5Ncc4\n77zzOO+88wiFQpSVlfHcc8/hui5jxozhyCOPTP8bPIwojDVDwB8Av0OouokwpvFiIiKSw7p27crb\nb7/Nd7/7XXw+H1dddRU9e/akoqKCadOm4TgOkUiE6dOnN3msQCBARUUFI0aMIC8vjwEDBjQ63ixX\nKIw1g9/nx+8ECIdC4Lo1A/gdX7SbMjZerKBA48VERCRn+f1+7rrrrgbP9+nTh+XLlyd9vJ/85Cf8\n5Cc/ScelZQUlhGZyAnlei1g43LBlTCUtREREpAkKY80UCOQTcsPxw5jWoxQREZEmKIw1UyCvDWE3\nghsKNZxNGRsv1qFDBq9QREREDmcKY83kBPIAb7HwOi1jqi8mIiIiCdAA/mYKxKrwBysJEfIG9fv8\nUP65t4G6KEVEJMts2LCBiRMn0rdvXwD2799Pr169WLBgAfn5+U3s3bjS0lJGjRrFoEGDmn2Nzz33\nHPfddx9HH310zXNjx45lyJAhzT52ba+99hodO3bkhBNOSOtxa1MYa6ZAILo+ZShI2AnX7aIEhTER\nEWmWe9ffy0sfvpTWY15YfCETBh96vcvaSyEBTJo0iZdffpmLL744rdfSHJdeeimTJ09u0XM8++yz\nDBs2TGHscObkRVvGqoOEfCHyneg3Bo0XExGRHBEMBikrK6Nz586Ew2F++tOf8umnn1JWVsYFF1xA\naWkpU6ZMIT8/nx07dlBWVsa8efPo168fTz75JM888wxHHHEEu3fvBqC6upqpU6eyfft2wuEw119/\nPcOGDaOkpARjDO+//z7t27dn4MCBrFmzhn379vHII4/QuXPnJq9137593HrrrZSXlxMOh5kwYQJn\nnXUWl156Kb179yYvL49Zs2Yxffp09uzZA3hLPBljmDp1Kh999BGVlZVce+219O3bl1deeYV33nmH\nvn370rNnzxa5vwpjzVTTTRmqIhwIE8gLqL6YiIikzYTBE5psxWoJsaWQdu/ejd/vZ+TIkZx11lls\n376dU089lauuuoqqqirOO+88SktLAejZsyezZs3i6aefZvny5dxyyy08/vjj/PGPf8Tn83HFFVcA\nsHz5cgoLC1mwYAHl5eVcccUVDB48GIABAwZwxx138L3vfY+2bdvyX//1X9x+++289tprXHjhhXWu\n8YUXXuBf//oX4BWeve+++1i0aBFnn3021113HTt37uTqq69m9erVHDhwgJtvvpmTTjqJ+fPnM3jw\nYEaPHs3WrVuZOnUqDz30EK+99hpPP/00AGvXrqV///6ce+65DBs2rMWCGCiMNVtssfCqYAW09XsF\nX9VFKSIiWS7WTblnzx5uuOEGevXqBUCXLl3YuHEj69evp6CggGAwWLPPiSeeCECPHj14/fXX+fjj\nj+nbt2/NOLMBAwYAsHnzZs4++2wACgoK6NOnD9u2bQOgX79+AHTq1KlmzFqnTp2oqqpqcI3xuik3\nb97MZZddBkBRUREFBQU1LXLFxcUAbNq0ifXr17Ny5UoAPv/8cwoKCpg2bRozZsygvLyc4cOHN+v+\nJUPNNs3kRFvGKoMHgOhMShV7FRGRHNG1a1fmz5/PHXfcUbNmZMeOHbnnnnu44YYbqKysxHVdAHw+\nX519e/fuzQcffEBlZSXhcJh3330X8Crz/+Mf/wCgvLycTZs21YS95qp97J07d7Jv3z66dOkCeCsF\nABx77LGMHTuWJ554gl//+tcMHz6csrIy3nnnHRYuXMiDDz7I/PnzCYVC+Hy+mvfXUtQy1kw1LWPV\nFUCBF8a+2KfxYiIikjP69u1LSUkJs2fP5sc//jGTJk3izTffJD8/n69+9auUlZXF3a+wsJDx48cz\natQoCgsLadeuHQAjR45kxowZXH311VRVVfGjH/2Ir3zlK2m51htvvJFp06bx4osvUllZyaxZswgE\n6sadm266ienTp/P0009TXl7Oj370I4444gh27drFqFGj8Pv93HDDDQQCAU455RQWLFhAr1696NOn\nT1qusT5fS6e95jDG9AY+XL16ddoSc7pVh6t566/LcToUED7maI5qX0SPzTu9VrHjj8/05YmIiMiX\nZPv27bHSGsXW2q2J7qduymZy/A4EHMLhagACFdE+bXVRioiISAIUxprJ7/PjdwIQ8pZCCuyv8F4o\nKMjgVYmIiEi2UBhLg4CTD7F1KfdXeOUsNF5MREREEqAwlgZOIA8iLoRCBKqCWo9SREREEqbEkAax\nGZWUlxPwBTReTERERBKmMJYGsSr8fPEFjs+vMCYiIiIJU52xNHCcPAD8Bw7g7xLQeDEREclqGzZs\nYOLEifTt2xfXdQkGg8ycOZOTTjopLccvLS3l7rvvrqnMn4r169fzwAMP4Lou1dXVDB06lLFjx9YU\naf3d737HCy+8UFNjbNy4cZx//vkA9O/fn9NOOw3XdTlw4ADXXXcdl19+eVreWyoUxtIgEF0sPIDj\nBbF6FYhFRERStn07RBe0TpuuXaGJ+p2x5ZAA1qxZw7333suSJUvScvrYcVO1adMm7r77bpYsWUL3\n7t0JhULMnDmThx9+mHHjxrF8+XJef/11Hn30Udq0acOePXv4/ve/T+fOnTn11FPp3LkzTzzxBABf\nfPEFQ4cOZfjw4Q1WEPiyKIylQaybUl2UIiKSi/bt20dhYSEAr776Kvfffz+u67J//37uueceiouL\nWbhwIS+99BKFhYVUVFQwYcIEjjvuOCZPnkwwGKS4uJj169fz5z//mQsuuICVK1dy5513kp+fz44d\nOygrK2PevHn069ePZ555hieffJLOnTuTl5fHsGHDahYZB1i2bBk33ngj3bt3ByAQCDBlyhRGjBjB\nuHHj+O1vf8vjjz9OmzbemO6uXbvyox/9iKeeeopTTz21znsrLy+nU6dOGQtioDCWFk50AH/A5yiM\niYhIevXq1WQrVktYv349JSUlBINB3nvvPRYuXAjA+++/z/z58ykqKmLx4sWsWrWKb37zm7zyyius\nWLGC6urqmoW6Fy9ezJAhQxgzZgxr165l7dq1Dc7Ts2dPZs2axdNPP83y5cuZOHEiS5cu5Q9/+AP5\n+flce+21DfbZtm0bV155ZZ3nCgoKqKioIBKJsGfPnprwGHP00UfzySefAN7C4CUlJUQiETZt2kRJ\nSUla7lmqFMbSINYyFnDyNF5MRERyQu1uyi1btjBq1Cj+/ve/U1RUxJw5c2jfvj07d+7k9NNPZ/Pm\nzZx88sk4joPjOPTv3x+AzZs3M2LECAAGDhwY9zwnnngiAD169OD111/n448/pk+fPjXrWJ522mkN\n9ikqKmLHjh11xrCVl5eTn5+P3++noKCAvXv31iwQDvDRRx9x5JFHAtTppiwvL2fUqFGcffbZjV5j\nS9NsyjSIlbZwCjpqvJiIiOScbt261fx7xowZzJ07l3nz5tG9e3dc16Vv375s3LiRSCRCMBjk3//+\nNwDHH388b7zxBgBvvvlm3GPX7x485phj2LJlC5WVlUQiEd56660G+1x99dUsWrSIXbt2AVBdXc2c\nOXMYNWoUANdccw2zZ88mGAwCsHv3bu6///6a12vr0KEDHTt2pLq6OtnbkjZqGUuDdh0Lad+hM517\n9M70pYiIiKRFrJvS7/ezf/9+pkyZQtu2bRk+fDhjxoyhXbt2dOvWjbKyMowxnH/++YwcOZKuXbuS\nl5dHIBBg/Pjx3HbbbaxcuZLu3bvXzGw8lMLCQsaPH8/o0aPp0qULVVVVDfbr168fpaWllJaWEg6H\nCYVCXHTRRYwbNw6AkpISwuEwY8aMIRAI4PP5uPnmmzn99NOBg92UAMFgkJNPPpnBgwen+Q4mzue6\nbsZO3hRjTG/gw9WrV9MrA/3lIiIi0rTdu3ezatUqxowZQzAY5Nvf/jaPPfYY77//Pl27dmXAgAGs\nW7eOxYsX8/jjjx/yWKFQiIceeogf/OAHuK7LmDFjKC0t5Wtf+9qX9G5St337doYMGQJQbK3dmuh+\nahkTERGRZunatStvv/023/3ud/H5fFx11VX07NmTiooKpk2bhuM4RCIRpk+f3uSxAoEAFRUVjBgx\ngry8PAYMGJCxsVxfFrWMiYiIiKRBqi1jGsAvIiIikkEKYyIiIiIZpDAmIiIikkEKYyIiIiIZpNmU\nIiIiUseGDRuYOHEiffv2BWD//v306tWLBQsWkJ+fT//+/etUxu/Tpw8zZ86sc4xt27bxi1/8gr17\n91JdXc0JJ5zA5MmTKSgoALw6Zg888ACu61JdXc3QoUMZO3YsPp+PkpISKioqaNeuHRUVFZx22mkJ\nzcTMVgpjIiIih7Ht+7azp2JPWo/ZtV1XenU6dJWC2sshAUyaNImXX36Ziy++uM5yQvFUVlZy8803\nM3v2bE455RQAfv/73zNp0iSWLFnCpk2buPvuu1myZAndu3cnFAoxc+ZMHn744ZrCrXfffTd9+vTB\ndV1Gjx7Nxo0bOfnkk9Pw7g8/6qYUERGRQwoGg5SVldG5c+eEtv/rX//K1772tZogBjBixAj27NnD\ntm3bWLZsGTfeeCPdu3cHvNpiU6ZMYfny5XHPXV1dXWedyVyjljEREZHDWK9OvZpsxWoJseWQdu/e\njd/vZ+TIkZx11llA3eWEAG6//faaxcHB66I85phjGhyzV69efPLJJ2zbto0rr7yyzmsFBQVUVFQQ\niURqjtmuXTu2bdvGscceS1FRUUu8zcOCwpiIiIg0EOum3LNnDzfccEOd4utNdVMWFRXFXeD7o48+\nomfPnhQVFbFjxw5OOumkmtfKy8vJz8/H7/c67WLdlJFIhGnTprF06VJuvvnmNL7Dw4e6KUVERKRR\nXbt2Zf78+dxxxx2UlZUltM+QIUNYt25dnUD2zDPP0LVrV44++miuvvpqFi1axK5duwCorq5mzpw5\njBo1qsGx/H4/RUVFVFdXp+cNHYbUMiYiIiKH1LdvX0pKSpg9ezb33Xdfk9t36NCBxYsXM3fuXPbu\n3Us4HMYYwy9/+UsA+vXrR2lpKaWlpYTDYUKhEBdddFHN4H042E0J0LZtW+bPn98yb+4woLUpRURE\nRNJAa1OKiIiIZCGFMREREZEMUhgTERERySCFMREREZEMUhgTERERySCFMREREZEMUhgTERERySCF\nMREREZEMOtwr8DsAn376aaavQ0REROSQauUVJ5n9DvcwdiTAmDFjMn0dIiIiIok6Etic6MaHexh7\nDTgX+H9AOMPXkm0+BIozfRE5Sve2Zen+thzd25al+9tysuXeOnhB7LVkdjqs16aU1BljXGutL9PX\nkYt0b1uW7m/L0b1tWbq/LSfX760G8IuIiIhkkMKYiIiISAYpjImIiIhkkMJY7vpZpi8gh+netizd\n35aje9uydH9bTk7fWw3gFxEREckgtYyJiIiIZJDCmIiIiEgGKYyJiIiIZJDCmIiIiEgGKYyJiIiI\nZJDCmIiIiEgGHe4LhUsCjDGvA/uiDz8E5gCPAi7wNvBDa20kM1eXvYwxg4C7rbXfMMb0Jc49NcaM\nB24EQsBsa+0LGbvgLFLv3p4GvAC8H315kbV2ue5t8owxecAjQG+gDTAb+Df67DZbI/d2G/rspoUx\nxgEeAgzeZ/UmoJJW8tlVy1iWM8a0BXzW2m9E/1wP/BK4w1p7LuADLs/oRWYhY8xtwFKgbfSpBvfU\nGNMDuAX4OjAUuMsY0yYT15tN4tzbM4Bf1voML9e9Tdk1wO7o5/Ri4H702U2XePdWn930uQzAWvt1\n4A68RoVW89lVy1j2OwVob4z5E95/z2l4PyD+Fn19JfAt4PeZubystRm4Angi+jjePQ0Da621VUCV\nMeYDYADw2pd8rdkm3r01xpjL8VoYJgJnonubimeAFdF/+/BaDvTZTY/G7q0+u2lgrf2DMSbWwvVV\nYC9wIa3ks6uWsex3AFiA9w3hJuBJvJay2NIKXwCdM3RtWcta+yxQXeupePe0E/B5rW10rxMQ596+\nCtxqrT0P2ALcie5tSqy15dbaL4wxHfGCwx3os5sWjdxbfXbTyFobMsY8BvyGxn+X5eT9VRjLfpuA\n31prXWvtJmA3UFTr9Y543zCkeWqPuYvd033Rf9d/XpLze2vtP2P/Bk5D9zZlxpijgb8AT1hrf4c+\nu2kT597qs5tm1trrgOPxxo+1q/VSTn92Fcay3w3APQDGmJ543xr+ZIz5RvT1S4BXMnNpOeWNOPf0\nVeBcY0xbY0xn4ES8QaaSnBeNMWdG/z0E+Ce6tykxxhQBfwJut9Y+En1an900aOTe6rObJsaYEmPM\n1OjDA3hfIv7RWj67GjOW/R4GHjXGrMGbcXID8B/gIWNMPvAuB8c5SOomUe+eWmvDxpj78H5A+IHp\n1trKTF5klvoB8BtjTDXwKfB9a+0+3duUTAO6AjOMMTOiz00A7tNnt9ni3dufAL/SZzctngP+yxjz\ndyAPb/zdu7SSn7s+13Wb3kpEREREWoS6KUVEREQySGFMREREJIMUxkREREQySGFMREREJIMUxkRE\nREQySKUtRHKQMaY33qLx37LW/rnW81uBb1hrtzbz+Gk5ThPnOAavrtP+6Lm+iD6/AW+h5kKgAPg4\nukuJtXZjS11P9NzDgYHW2p8muP2jwAXAZ/VeOsNaG07z5TV1HX+11j5a7/mxePd27Jd1LSLSkMKY\nSO6qxqvRc3IsyGSZbwCvW2tH137SWjsIMhMkrLXPA88nudtP64cgEZHaFMZEctcnwJ/xVmj4fu0X\nolWtZ1prvxF9/Cjw1+ifP+Cts3cy8I/oc2PxCl6OsNa+Gz3MTGPMKUAlcKO19q1olfIlwNF4FbSn\nWmtfMsbMBAYDxwD3W2sfqHUtxwMP4rV07QduwQuSs4ECY8xia+1NibxhY8xf8Vqh+gH/B+gBzMIr\nIvkhMN5au9sY8zXgV0B7vCLJN1prPzTG/AS4Lnrtr1prb6x3/LFEA2C0dfAJvHVhOwDX1loaJ5Fr\nnQkcBRyHtzDyUmvtHGPMgOj9CODd2+utte8bYy5u5L1sBZYDl+ItXj0Nr0jxccAka+3T0VNeaoz5\nMZAP/LzW87HriXtPEn0/IpI6jRkTyW2TgKHGmIuS2GcA8HPAAF8DeltrzwKeom6oe99ae1p028ei\nz90LPGKtPQMYDiyJLqwM0NZae1LtIBb1W+A+a+0AoBRvxYh3gZ8CzycaxGp5y1prgB3APGBo9Dpf\nBO6OVvNeCoy21p6OF1YfMsYEgKnAQOAMIGKMOaqJc+221p4JLMYLQfHMMsa8WevPwlqvDQC+BQwC\nphhjukTvwT3W2oF4CyYPNsYcEe+91DrOJ9bafsDrwJToMa+Jvp+Y9tHzDAXuNcb0iL3Q2D1p4r2L\nSJqoZUwkh0WXZhlPtLsywd0+tda+AWCM2Q6sjj7/EVBca7ul0XP8jzHmt9EgcSFwgjFmVnSbPKBP\n9N8b6p/IGFMA9LXWPhc91npjzGd4QTBVsfMMwmuJ+4sxBsDBazU7PnpNz0efB+hkrQ0ZY9YBrwH/\nDSy01u5o4lyron+/DVzRyDaH6qb8i7U2CJRF33dn4P8CC6MtYS/ghdNLGnkvMSujf38E7Ii+l4/w\nWjNjHrPWhoBPjDH/i3d/YuLek0bftYiklcKYSI6z1v7JGBPrroxxAV+tx3m1/h2sd4hQI4eu/3wQ\nLyRcYK39DGoWr98JfAeoiHMMf73rIPq4OT+bYudxgDXW2uHRa2kLdAR6AlustadGn3eAoug+38Hr\nTr0EWGWMGWOt/dshzhVbE6/+/UxU7TX1XMBnrV0RDUuX4q3PNwwvlMV7LzG1/5sl8t/Lh9cVHOPQ\n+D0RkRambkqR1mESXvdUz+jj/wDHGmPaGmMKgXNTOOYYAGPMCOA9a+0B4GXg5ujzJwFv4XWPxWWt\n3QdsNsZcEd1nMN44r7dTuJ76NgBnRcekAcwA5gPvAYXGmNh7vgH4XbQr8F1gY3S25J/wuhG/VMaY\n5cCZ1tol0Ws+ncbfSzKuNsb4jDFfxet+frXWa3HvSarvQUSSo5YxkVagVnfli9HH7xhj/i/wDrAV\neCWFwx5vjHkT+AJv0DvAj4EHjTFv4bW+lFhrv6jV9RXPNcBiY8zPgCrgCmttsIl9mmSt/dQYcwPw\ndLSlZztwjbW2yhhzFd64qbbAPuA6a+0uY8wS4DVjzAG8khmPNusiPLOMMRPrPTc67paeucBSY8wM\nvNasnzT2XpK8jnLgn3itoDdaa/8Tu8eN3ZMkjy8iKfK5rpvpaxARERFptdRNKSIiIpJBCmMiIiIi\nGaQwJiIiIpJBCmMiIiIiGaQwJiIiIpJBCmMiIiIiGaQwJiIiIpJB/x94No6crObYewAAAABJRU5E\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(10, 10))\n", "tree_score = np.array([dt.score(x_test, y_test)] * len(range(20, 320, 10)))\n", "ax.plot(range(20, 320, 10), tree_score, color='black', linestyle='--', label='Single Tree')\n", "ax.plot(range(20, 320, 10), bag_score, color='red', alpha=0.8, label='Bagging')\n", "ax.plot(range(20, 320, 10), rf_score, color='green', alpha=0.8, label='Random Forest')\n", "ax.plot(range(20, 320, 10), bag_oob, color='red', alpha=0.2, label='Bagging OOB')\n", "ax.plot(range(20, 320, 10), rf_oob, color='green', alpha=0.2, label='RF OOB')\n", "ax.set_title('Comparison of Errors')\n", "ax.set_xlabel('Number of Trees in Ensemble')\n", "ax.legend(loc='best')\n", "plt.show()" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.0" } }, "nbformat": 4, "nbformat_minor": 1 }