{ "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", "from sklearn.tree import DecisionTreeClassifier\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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w8uRJFEWpeojIbAYhREN/ezDXVlrisrJRImcJ0g9cL795pjQS2tmkOs6FFR0y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ukbOT57HMM0sOoWr114jYdvephaRZSYhMbKZN1an/Ict6r7If/e7bUj/64rnw0OLcBDYJAX8Vas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\nXfqPtTWq6SdagMeUnRQLutWoD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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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BcMOwY1t0XQpLZAbrM3tdCYPBsCu8Hfibva7EZWJskcFw42BskcFguFa4Xu2RsUUGw43F\ntm3R9SosTQL87u/+LgcPHly3QynFr376Q7w+d5Z7D93JZG0S23YYqQ4z3jdMwS3xxO2P7kmlDYYb\nEaUUf33yswC847ZHOTn/On/4xT9FC/j6e/8XHr7pTV3Pm5qa4r3vfS/kz/N1yqa2yGAwXB8YW2Qw\nGK4VbgB7ZGyRwXADcDm26HoVliTAwYMHOXz48PodUlId6qWYlukd6qNmNXAch96ePgYGBym5lQ3n\nGAyGy0dKyWB9CIBDhw5Rd9uUB6poAcMHRrbzvF3PrtKb2iKDwXDdYWyRwWC4Vrhe7ZGxRQbDjcW2\nbZFJ3m0wGAwGg8FgMBgMBoPBYLgsjLBkMBgMBoPBYDAYDAaDwWC4LK56KJzv+zbwnwAf0MD3B0Hw\n4tWuh8Fg2N8YW2QwGK4FjC0yGAzXAsYWGQyGN8JeeCx9I0AQBI8D7wf+zR7UwWAwGIwtMhgM1wLG\nFhkMhmsBY4sMBsNlc9U9loIg+GPf9/8s//MosHS5ZcVpTJRE67ZJJdFa5YqZRmnQGtAKlf+7+ByD\nwXD5SCVRWgEQpRGxTNBaI4SFkps/b3EaX81qbmA3bdE1j9bIOEbnn9OVvpZOkyt/nRsAYdlg23td\njT3D9goIy0Tk7ytbtA+RUqG0XrfNsW2E6H681hCn6crvSilse/efE9e2saxNKmHYlxhbdG2RpilK\nXYV+2zaxbRt7H/dZDJdmT1aFC4Ig9X3/t4FvBr51q2N93/8A8K+67fuT5z5O/8TAhu0TtSnaScTp\nxQmW2nUcYdGJIxbbi3TShC+fM16dBsNuoYH51iIAz517hUhG1Np1LEfwkRc/wadPfb7rec35+lWs\nZXd2yxZd6zSDl6gHJ67KtZK5aaL5hatyresdp1CkeNNR2KfiSvXmo/Te//BeV+OaYL/Yov1GvR3z\nhVdnSHKhCEAqjQLK3voueLngctvBPubqIadnsvH8zGJII4y5aaSK6+yunRgfrPLgrSO7Wqbh+sfY\nomuD8+fPc+rUqZW/pZQ0Gg30RSL11cSyLI4ePUq5XN6zOnSjWCxy6NAhrG32pebn54miiPHx8Stc\ns/3HnghLAEEQfKfv+z8JPOX7/t1BELQ2Oe4DwAfWbvN9/2bg9fnOEnF7/QMmBAilcR0XpRJs20Jg\noVRKK2kRSYUd52rr8uz9Hj6khmsMIQDBplOJhi4opM48VNpJC6UktudgI4hVTCvudD2rnYRXs5Kb\nshu2aMsLaL3yfdJKbe2hofUV6TTIZnPXy+yGShOihUW0VgiveFWueb2iww5J2MZrNdC514AolLGc\nPXstX3XSxt6Ly9cSV9wWGVBqa/u6dr/SmnMLDZYa2/euVVrT6iTIvJx6J+b8XIN6lFLIhaEwkqQq\nYaQnG5zZtsDO3wunp2s4jkU7zISo2XoTpVMml2xK7u56CjTCBCnVtro7/RUP185sk2UJRnoK2Gs8\nnrSGhWZImGy+KnXJcxisFlbKMFy7GFu0OzQaDZrNJrVabcd9u6mpKZaWligUsmet0WhQq9V2vY7b\nFWPiOLODnU6HSqWy6/V4o8RxTLVaRQjB4OAgzhZ9qXa7jVKKNE23PM6wc/Yieff7gMNBEPws0AZU\n/m/HpGlCkmx84YdpQiJjGp0WYRIBFp5jI5VHqhRKZpdLZUJyDbkYGq4NPNvGtoyh2YyC5WI77pot\nijTvTCa2JEojOmGIsASu7eFY3Tuaco+fvd20RZvRePkFkrl5nL5eotlpOmfP0nP3vQy89fENx0aL\n89S++HnSzqVDdZ1iYUf10Fqjog76SoYfak14/jwyzupvOxYoTdJsgNzZbdVC4BSKcJ2OPWScgEy3\nPEaFEcIRLC3OrWxzCkXc/o1euJB/hjITcO1iGSEEWilktCrcCtvD9twN59qlIm5/P5brZdcZGqE0\ncmDH7dpVLIF34CBq0/sksPaJy/3VsEUGOH52iQuLjU33Nzsxk4ttZCrRQJxK5uvrJ0ZiyUrod3c0\nYdxlv1YUCy5oaIUxnmszVwtXBKii52BbFl7+nV/Wt6IkRSrN7OICwhY4QoB4Y55Ldq4kCQEvvj6/\nru6b6W6Ci8QgAa5jMVgucNNwD3OtkOFKEcsWG+y2uEi58myb+28ZYbS/9IbaYdh9jC3aPVqtFs88\n8wyzs7M0L2Nyr9FokCQJvb29OI5Dp9Oh0+ngui6e5+1aPT3PY2RkhHq9viIedSOOY8IwRClFu93e\ntesvI4S4rInVRiOz6bVabSVMb2hoiAMHNu/jSClXzrmYgYEBjhw5suN6bMX58+dZWFigUqlwyy23\nbFvMux7Zi9HzHwG/6fv+pwEX+OEgCLq7NFyC2eY8TXe914MGOmlIKiWtqLOSU0QqizjvlKdpPghW\nCkWKtXeOW1cNxdaDnDeCzJJYXbHyrxoKENASIHZxRGshcC0X6wbxgurYFmW96o2igTAXE4Rlk8qE\nVKYgoWNHm86GhsllPfa7ya7Zoq5ojarV0GGL+sw0qtVEhSGdc6fpe+RtGwbNrZee35aoBJCGO88T\nZxVKUMg78rv1XbRtrJUOjiZpNtGt1Q6HjNrEM7PrTtFKbstLdG8zcO0NqlQgWunovHGbKoQDVvY9\ncyol7EoVAMs9RXzb7ey5cvfS8U13OeUiA4+9Azev8w3OlbVFBpTSTC41iZIUpTRLrYgwVjjO6jMw\n24hYanSwRSbsSK1pRxLXtlbEkTBJt340hcjyIl0kPimpUTq3apaF1tnkSirBEoI4TkFYtFS8zj4r\npdAaEhtI3vhgxHEtomh9f3D5clpDwXFJ1frJIIVa3+b8BAuLqYU2r882iGJJwbMRQjBUKeA4Vm7m\nBX1ll4JnrysikZrxocxj60BfmbHBzT0gzs01mW908ksLbhquMlA1HrFXCGOLdgnbtunv72dqagqA\nnp6eHXnHaK1pt9v09fXhed6KaDI4OEixuHvf/0qlwuHDhzl+/PiW5WqtUUrR09NDqbS7onCj0aDT\n6eB5Hn19fRvE6K1QStHpdHAcB6UUYRhSq9W2FN/CMCRNU6rV9f0LrTWLi4uMj4/vWi4ppRSnT58m\nTVMWFhYYGxu75kIJd5O9SN7dAt6zG2WN9x2gZ6B33TalM0+metii6hUI0xRLgGU7FB0HhE3JzT7Q\nSHaypGjXuRZvWxZ6q2dQa1J1ZZLparIHEc2ej1HeMHkbhBBYb7AxGoGUKSrvSlUKJVz7xpidKzkF\n+kqrnUClYcbJcuqMVAdphW3iNAIBwz3DDFd6upbTUHsbBrObtqgrQlB+4GFUHCJefIH21DTCcane\neU9XT4yyfw/i9Clsr7Dps6STlGhuFp3uXCjOPF52Ofw3TTPzmc++FA/fTBp10O3Ma1616oi4RdLJ\nB1RaIaOtJSNLaJSU17dWLSyELdBbGuaNpFKDSkDrNWPL1TKEyL43Grlum7BEJmSu8/4RQJp5MAk7\nS96eLmFVenCuQTf2i9FJipabh9XcSFxxW7TPCeOEmVpErdXhzFyLJIlRUpFIjVxjZzRgO9m0klAg\nZLYQTCw1ttBZX9KyLmk+HdtasYkKjZaaVElWnXQVru1QcG1cmzyHQ7bHUvY6ryFr2TtJrPtxSdZW\n0RarU2WOsBDu5qW4tsCWNlJJZH5zBAIsTZJmf2utEYBta2zLQiBwbYHM3y/NMF7JKqAULDTblPJB\nXtGzsW2LdpQy32ozVCkyMd+kf6Z7/0ijqTXXTyA3w5TH/IMmY8EVwNii3aNYLHLTTTexuLhIs9nc\nkVgCUCgUUErheR6O4+B5HoVCAcdxdjV8K01TTp48yeLiIqVSiYGB7l7TaZqSJAme5+26sFSv11eE\noOXQv+0SRdlEa7FYxHEcqtUqvb293HrrrQBUq9UNQs7nPvc5bNvmgQceWCemPffcc3Q6u6+jjo6O\ncuHCBVzXveFD767r1r3noW9gbHxs3TalFL/+5H/l7OIE/sFbmKjP4gib4Uo/B/pH8Jwijxx6EwBL\n4RJz9SWa8voV45VSvDIdEG0R4qK0ohOH2MLGszaGSbwRNNBOOghLULZvgBkkC6qFKp7zxt1Mbxk4\nTDtsMdmc4d7xu/BHj+1CBfeeSqG0kg8CslnXJ08/DcBjRx/m9PwZPvzcR3GEzVf5j3P/kbu6ljN5\nYZI/4LeuRpX3DLdYgmIJ+82PUmk2sFwXt9pdaCuOjFIcGb1kmUpKLk910cSzs8j27uRbSppN4vNn\niWanVjdKRTg9hVzzYlZSQB6ChUohjsG2sNzNw/kud15eS51d4xphp+OetV0pIQRWsYS9dtatW4GW\nTfnQON7B9e/CcH6BdHFh5Ty72ovtelRuGqfnrvsRu5wIeCMC4ZUQlznrJxznopBbg2Fr0lSSSkki\nNe0o4dWJOvUo5txsk6VmyORiC6XzPEoaEpWuCjc5y39rsiWFLSHQWqGAQtHDQeNu00IlaKIoJpWa\nkrPeD1prSSqz0I/lFeMEAiEgjvUaC7/8m1jz/61ZJyrZINectOysJLBy4Wf9zGoiLUBjCQvHy9qZ\npBIQ9JWy57HgOvSVHVzHzoQixwEBzXZMnCg8e9W7qxOnaAmtToxrgyMKWGi0BJ3anLqwSDOSIOBg\nb4Vyyd74ehOZV9P4QImXztWYmm8wvdSDu03b4lh0Hcw5dtYWw/4kjmOmp6dJkktPvPf29jI8PLzi\ntXMpWq0WExMTHD9+nDiOaTQahGG4o1CvJElIkmRFlErTlCiKWFxcxHV3eSyn9UqY3dzcXNdj0jQl\njmOazeaurgxnWRbNZnPl3tTr9R2JcJ1O5iRSq9WwLAvLshgYGGBxMVtUyHEc7rvvvnWf29JStjjC\n9PQ0rutSrVbp6elBCIFSiiiKuoarCSHwPG9H9bMsizvuuIPx8XE8z9vVMMZrkevaov78J3+d0sDG\nmdeFVo0oiWmcbZPIFAuLM4sX8CZcQPDpE91XqbpWSJREbtMjwbEcwrRDJFPEFgZL5m7Z9g5i8y1r\ne4ZD5gM5k5coQ0pF0SsQTJ8iSmKklpyYO0vR/itcu7DlAlDZMsPRdeWsobWmFWZCwl+8/DekOmWx\nWccSgt9/+o/5Hy/8edfzOotdc0HekDiuizMwuCtlvZG8M8WDu7cCRjN4hXYisfuHVrZ1zp5BhiFJ\nKxeWlESGa4R7pZBJirAE2t26M5ckCtvbmU1RnfC6XYxBdE1muz2vvnRpDmdmdsMgWUnF8hA1Wapj\ney46DImv0rNXHh+j/82PXpVrGfY3r03XeOn0PGfmmkRxQiI1S82QKFEIWxAnkk6U25zV9RSQyCxl\nkYZ6s423JkeZBtJU4eZJs60wWdkOW4s8WYKAVVvUzo+/+Nxuzt4WFqCy5zl3CJcr/s9rrqHWX6Mb\nSSdFJYpCwVu5sGWv2okNbRDgWjZCKFg20Roc16YVJ6ChGScstLjIs0owVC0iNdTb4UqtlkP5lgt3\n7RgEJFJhW+DazooH1OxSmzRV6IvCCIQQFFwnG8zq7I6dnq6t3rtLDPIs2+aWkR5cd719dGybR/2D\n9JZv7IGeoTvT09PrVl3bDK01jUaDW265hXPnzq3k9NmKWq1GFEU0Gg3SNMWyLNIdeppLKZFS0ul0\nsKwsHDdJkhUBaDfRWpOmKUKITT1q0jRFKUWrtbv9B50vWqO1RgiBlHJb4t0yYRhiWRZKqZXcSa1W\nC9u2ieMY27Y5c+bMOlFv+TO8cOECSqkshHdoiKWlJdI0ZXp6GiEEQgj6+/vXiUEHDhzgrru6T5hv\nxcVhdzcq17USkKQpThelWUqFQqFU9uXUAiwpUI5EabalTu8lYRqvCEGXomBrErKHaTPRKFNWLaRM\n0TtQWW0tcbcxY6yEnXlD3eDufdslFgl6+T+dfw+lJNYWBRfcLbzGWnGH+Br/fnYj1ZkxT9MUyepL\nIVESe5P2JJcRzmW4dlBpDAhKtx7DGx5BK41MI6zefgq52KxqS7TOnF11QVIpOgwRlodV3Lwzr6IY\nYeksf5PFujx4aRSiN/FKWvbCEcUrF3YqLAunpxdrlzt20cI8ttiZKCajOAubc4qUb7qV+KKEmsu3\nXUQdkmYTu1rFGxyksE2BUSYJqssCGRej6t1XqpGd9rpVEQ2G3URrVgYLSmVrBERxnktTawquhWML\nYqWJQ43+jhYAAAAgAElEQVRrW9nxeR5FrTWWZWFbFlGaMtRboVzyEAhSqWh2YnAzr9y1UZlaZQkZ\nMzkkT864QaJRrJWNshA6hdBrJaXVsyw7k5NSqYmROIDlZAdoqbEQuRfVcuk6Cz3r8mxptdpGmeg8\n75POEmtrnXtGijycLbtHWmtSBXbWXcQWVpcBZnZm0bVQ6cYw1YIjUFJRzFd+E4hMtBMwVw9pdVIq\nrkXBdUlkVscwTtG5h1ScagqO01UsU0pT9Sxq7QTbsWiH2fV7Kh59pdV3SbTJYgCD1QLlwmp75pt5\nLtYwMcLSPmW5nzo2NrZp+BfAl7/8ZRYWFqhWqzQajW0lrg7DECkllmVRKpVWRKFCobDtxM1RFBHH\nMeVyGdu2SdOUTqdDsVjcda8XKSXNZhPXdTfN/7Ps1bQT0We7LHtkLXsP7YTlFd6q1SpSStI0pVQq\nUSwWqdVqdDqdFVFvuewwzMJri8Ui9XodrfWKh9iyoLfslaSUWvFWm5+f33Vh7UbjulYCvv+J93Fg\n7OC6bUprfu+pD3NuYZK7x45xvj6DI2xGyv0cGDhAwfF45OgDe1TjS6OB5ydeJE1T7h6/85LHd+Im\n//Olv2ag1Mu77nx712Nmm3M8e/oFXMuiv9x/yTITlbDYrFHxyoz2Dm+r3kf6DnP72M3bOvZG58z8\nBF++cBxLKGSqmWsucPPQIYqFEveP382B3s3DnV48f5wLzRluHjpC2bs+krtJrXjmzJcAePimBzi7\nOMGfPPcJbNviidsf495xv+t505NTfP6XPnE1q7ondM6dQRSLFPd6Fa5dQqYp8dQkrVdeIm00kc0D\n6LyTUxo9QHPhZYgTZNgiWVxA2BbI5RxLy0MwjdgsZE2DCkOcUglLa5Dg9BQR5TIohZ6dQbblusGH\n8BxcN0tObhULWL293cveFfL8It7OVua7FMISqFYLp7T9cmWzhUpj7IJLMj+NiCO00qhkfXJ3YXmZ\nl0IUItIEt+xu2F88egt2qbTiEdeenWHpC5+DLgPIrvVH0PvA/ayE7FjgDo4YUcnwhtE6E4yWfVnO\nTbeYbYQstEI6nYhGpHJhSdFKsgkdmUrascQSFq0wRQmwtEWkUmwhiGWar8imsbHQCJyiQxhLUqVI\nErUivPRWC8RpPqOPIEkl1ZJHkucUsoDSRasxprkS1VN2cTeEW2WCk1aSpXZMlGhsS2BbAs+xuPtI\nP3Y+Ax/GmZ0c6yvz4O2r/d1aM+TLZ7JQj4LnoLWiFaVZUvBUIrVioFIglfDyxDyNTkySaKI0QWiL\ngucw0ldA6MyjRynFhbkmsQKkQqKQeYqFVJOtRgdYjiBJoadS2OAc2owkEo3r2JTcTLBzbEHB9VCW\nQ6WSEMYplitwcg/NquMhgFBJLAS2gGrFy8QxsnxV9U6CUgLhZOF5xYKLlYthlbLHUF8JmUoaSUpZ\nZu+iQ0M9LDv3Fl2HnlKRg/1FhnqzlA0vn1vgtendX7rdcP3R39/P6Ojm/XLP81BK0d/fz/33378h\nnM22bRzHySZW8+f+xIkTLCwsYFkWhw4dIo5j5ufneeihh7adn+jVV19lbm5uJexsbGyM8+fPc/fd\ndzM4uDse8Mu0Wi2effZZRkZGuPPOS489rwRBEDA7O8uDDz5IZQd5IE+ePMnU1BT33XcfhUKBp59+\nmr6+Pu644w5eeOEFXnnlFQ4fPszAwAB33nknWmueeuopAB544AFee+01Go0GDz30ECdOnKDVavHw\nww8ThiEnTpxgeHiYY8eOobVmbm6ONE1XhKnN8Dzvhl75bSuua2HpSP8hDg8dXrdNSoltFXI32wKW\nFli2heuWqHglSm6FW4eOXpX6taI2r82fQerNO+au5XFs6CiJSnl94SypktQ7LRphk+rCuUteI0xj\nIhlR7zQ4u8nxS2GdVtrGsTwOl3rW5cfpRpSGLEVN3IKLs81Z+blojrnT3eNy9xtz9Xku1GdwHQuV\nalpxi3O1aWxb0Ek7VL31BrO/3M9Y7wEO945hWTYCweG+Q/SXr+TgOHtWTs2dpp2uhipVvez52IlB\nlFJyYuokcZoQpwn9xV4sLVBSM1Qe2PR58zo3/lLiadhh8dlnUJ02/Q88SOGmo7jla98dNpyZJJ68\nQLS4SDo7nc/QZ2EXaa1O0mwSzmarvUWLC9heIVvB5PxpVBSB1NmMtkqzc1f6YRqVpiBirHjj60er\nzNMPJUkjG7cne1biKKbU04sWuQegsHDKazpnjoU7lHUMxRV8mWspSWo1UIrd9iuUaYpqNUnr26+/\njlOUVshOSOvCFEJvHhojHBuhNK1TJxFPPYU3NLSS/0ggKIyO0nPsGP2PvRPLtknm55HNBsn8/Ibw\nQm9oiMLg0Lpt5duOUTl66w5bbTBkXuaL9RatRGHbNtWiS0/RxbYtpFQ89/ocn3llkqVGmH3fc9FB\nK4jTNWETWiO1QMnMcyVVemUQKFOFbVvZime2k4elCdAK4YBjCTphjOfaSKmI45Riwc0T4wtsNMK1\nSVOJRBKnKVJnPjzloovnrX9uC1i4jk1f9eI+VObFo5UmDC1KdkInTElk5pnkODbn5tr0lQukejX8\n7bX5DueWzqyUkqQp841wJRxNLdvO1atwzspm1pudlDTNEpUXPA8ps3LnGzG2DSU3C0cLY4mwrVy0\nWfP5pGpl9j6KJI7lsFDbIjdpHvNXdFfzJS2vHey6FlPznfXHkunP+RoELLZCHGf5XIHSWbTBQgNs\nW2B3UgSaousQpXXqjQ71ToIWMNJbpqfkESbJSijfUiPk2YUZLAHf+JabOTR8ZftWhuuLV155hdde\ne23T/UtLS5w/f56enh6mpqYIw5AwDFfsjmVZjI6OMjs7uyIsASseLqdPn6ZSqeC6Li+99NK28xPN\nzc2trHa27H3TbreZm5vb9cibMAwpFAqUSqU9W7FsOf/QhQsXKBS2P8G2sLBAs9nkwoULFItFWq0W\nzWaTiYkJZmZmVjySpqenmZycBGBmZgbIBLVGo0EURYRhSLvdJooiPM8jSRImJiaYnZ1lYSHLV3n6\n9Gk8z7uksDQ0NMR99913mXfi+ua6Fpaudc4snOfswnk2j8RfXTGsGbU4u3AereH84gSNsE2Ubm9J\n8UarSdsKOT75atf9YRIy11zEEha2sLEvMW5JlWSxtcRSp85Se29X7roeaXSaNOI2nu0Qy5Q4iQnT\nBAG0wnBDyKDreNw2dBPFXUgYvhMWOzVenV1+ma5mfzjQM0xPsXuC6a1Y6tQ4NXMG273xBaNtIxUq\niWideR2rVKYSduh74JG9rtWWhBPnWHj6iwB0zp8lbTZYZ8O0RnsFlJ0tLa3cIsK26UyeJ1pYQqeK\nRErcviqKizxjtCKpK7AdnJKHRqOaCXrNSnEacAoenldALWeaLXsk7WwwYpd7SWnj9K26rjs9vZRv\nOnJF7sfVJJxbIG1v3806mltANhaRMkHaAh3LlRHactiziONs5VCZQpriOAUspaiOH6EwPEraaZPM\nTBEtLMDJk3jDowjHRXYaxFOTxLUsySUiSyysEcSNJqJUyhIA59RffIl0aZHeB998RcU9w43HF1+b\n4SNfeJ1KwcW1BQcHqjx42wHuPtLPubkmE/NNlhodojglkoooktgoisVMJBEWuI5NqhRhJ0ZKzfKC\nv3EcZ0meVYq2bKpFj1RKbGEjo5h2KnEsl1RnqwfL3IOnXLEQSuDaFnEqSWWKhaDoOfR4DsKySdKU\nStGjUOg+AVd0BEJ3eRZkJvyUChblUj+P31shSRQTCy3iRGFbmajiYFEqWCAswihFpqshKBYWw9US\njXDVdhZdm6Jt0UolyZpji7YgjtMNSbG1EJQL7opo1He4QCdOVlZ3W0sUp7lI5xKnKbZjr0tgG0YJ\nYaJwPAehNVJBO0zQKhPNFJqC59CJwLV1JgRpjWvbOI6FUhqBzieFbUqet+rsqLPP0rIFriWQSYLl\nCBqdlFR7dOKEJFU4tkWlkGABB3qLWHlo9OxSiwuLTVzb4QuvTjM612Z6sUmtHa8TApZJU8kLZxdI\nEsXth/oYqN4AC9MYNjA4OEgYhiuiwWaUSiWOHDmCZVnMzMwQRRHN5uoiKK7r0m63abfb6wQfIQSN\nRgOlMsHctm2mp6e3LSzFcUwcxyuhb4uLi2itsW17Jfn0brNXohJkCdLn5uZWkm5vl7m5ORqNBi++\n+CKO46wLfVvOdbWco2p5Bbk4jld+hmFIHMe02+2VxNyDg4NEUcTc3BzVanUlFG5qagrP8xge3jya\nZ25ujlartZIzar9hhKUryLKn0j0HfPorfRv2n5+f5EztLFLJlVm1ew/4nK9NIqTFu259nGJha3fA\nTtTgT8O/oq/Uy1ff+ZVdj5mqzfC517+IZ3t8rf8E1iXyJjXCGi9cOMFodZhjo7dsp6mGNUwsXeDE\nzCmUgDSSzHdmOTxwCMdyufPgbQyWV11Yn584TiPOksgl6uoura3y7+dwZQj/wDFeuvAKS2FtZTZ4\np7SjDkPl7KdhDWv66Dq5tvJKhRPnSOpZB0XYLoWbbibN48e9scPYxSLhwgL9j709W7YesLwCImwz\n//nPAdD/6OMsfv6zeL091MOQVMHom9+CU61il3sQjot3YAThFkkWZ6l/6VmEV6Q8fgQtI1pnz6yr\nk1upYq0VX4WF7azviKUaht/xjny/oNQ/uC9f4I3zEzSeeWrT/UmzSXg+u792/yDJ3CxaprjVKqOP\nP0b19rtIooi5v/oYjRMn6MxOM/e5v1n5nsbNFsmafBJaKVCSQrUHoRXCtnBHxxBaE01N0jo/QfHo\nUYSTzTba1Z5sxSiDYQs8LSg4NjO1Fq5j49gWrU42ADh5YZETE4torSiXCrhJQo/nUCm5RLEkVorx\nwTKztYgLSy2UhDCS2CLzyjk23o/r2IBNJ46ptWLiMEYIidACz7YoruRR0jiOYKhSIkwlqdLZRJzW\nlDyHarnAO+89yLHxIV4+v8TJyUXOTdcZ6evuhdrrubz9vkNbegAXHJvB3iuXE26nLNQ7RNsMf12L\n1pp6s4PrOnzp9VmSFJqdmNlayIX5BrHKPc009FZLlIsJjmMhY8Xh0TIIQZoqokRSa8b09ZSpFjcO\nwB3Hpr/kcG6+Ta0e0kkVyrJBC9phSt2NkEpzfrG18k6Ymm8yOd+ir1rkxOQS882YKJaEUUy9s9Hz\nY6mdcGEhEw4qCwUjLN2g9PT0cMcdd1zyuIWFBV544QXGx8eZnJwkiiLSNKVSqTA+nuUrFHkes2Wk\nlDz33HNMT0+viBeFQoGxsbFtJ95ezuczNja2smJZqVTC9/0rsmS94zi7HmK3E44cOcLg4GBXsXcr\nlpaWCIKga3L0CxcuMDc3R6VSoVQqceBAlpJi2dvskUce4dSpU5w6dYoDBw5QKpVIkoR7772XTqdD\nu91mdHSUu+++G601i4uLlMtl7r333k3r89nPfnZH9b/R2Ec9vr1bKainVO0a1lRr1+GiEO9qqUql\nUKJd6HD72K1Ui1mHZbNkabVOjcqpEiPlAfyD3UUgz7V5ea6PqlPi2MFbLpmQe6G9xGx7npsGDnPX\n+G3baKFhLa5jM9deQAuJKiqkHXOwbxjHdrh15Ahjfat5EibrU6hmdyN6JRLkdevgVgvZ97PklVgK\nTc6BK8vuf6aXS/vcaRaffWblb4GgRyYI20Wj8UaHSdMOMo6oHjyI5brIMAStiBuLoCWFsUO4riA8\n+SpagDM0hOt4HH3P3+9+TVvT6LSRcYpqZLNS5eGRnVXccRi8/yHKg9vL/3YjUxwdodM/SLrUfcbV\nct2V/MGWY2M5NmnYIa3XSGZniYazTlbPPfcRLtVIpy4gEQg3F4aGh8HzSDuZuCTaLdJWk8S2aZw4\nAYDz+msUj95MNDmJ01Nh/snVTlXp4AEG3vr4FbwDhhuByVqHhXqH3nIB2xHY+apkSmlePLfEbKOD\nLSx0GtPXUwQ0sVYshSmpTGmeT3BtO1tLTUDBhmqpyLHD/aTKQkqJ51oUXYuq53BeSvqrRVCKVGsc\n2yZJs3CrgYrHrQf7eX26zsXroYz0VejrqTLbiIhSScV1mF5oUix09zZ2hwTjQz3Xlej9RkSu8aHM\n09m1HV44N09vxUPrLK9TK0qIlhOJi+xnFCuUViTSouBaeK6N57qAhWNbXe+blIoLSyEIheW6iDRE\nak0qFZ6brRrX6MQUbLGS3y2OU4QFrU5Eq2jhCIt6J0IIi3MzdfxDA9hrXPnLns1QT4n5Roee0j4a\nJu1DtvNsXnxMqVRCSsn4+Di3335713OklJw7d44kSRgYGKBerzM0NMTjjz++ba+g48ePMzMzw5vf\n/OaVnEPXky25HHaSW2mZ3t5ejhzp7rH+zDPP8MILL3DTTTcxOjq6Igi99NJLzM3N0dvbS6VSoVg0\n4vFusS8splSKudY8CIVtewTTJ/EPHNvram2b80uTnJg9he6yUlyURCx0loiSiI+8+HEivXEFn0bY\nYrY5z6Jw+NTJz+M4Wxum5dW6bnQDdi2yLPw8deYZnDewrPxmHOw5wD1j3ZNp7xZKSdpJm+IuJze+\nEWhfmKI4O0NxZPNEkVeDzsRZFj7zKTqTU9i9vdnyQ1Eby1II4dA+9Sqy2US36yStNnOfdEmbDTrn\nzgIa0oTO/Bx2scTiJx3CxTrCc/H6+7EKRbRSaC2JZ2aQrWzmV0vJ4pOfJmk2sPqGqN5/P8J2sNwC\n5QMHjL25DFzPY/SdT2x5zPyzzxKdO407Nsbipz+Fkik6kTRePUFndjUvXjIzjazXKBZL9L71MUpH\nNuZGm/vLj9E6eYLCgTGcA2OEr59EaginZ/GGhnFcF+9w1sGLzp8jnJqhGRzfWO+RAxtyNBn2H1Gc\ncH6xzdm5JokClUr6yuVcD7A5M71EvRPRjlKKrkA4DrO1kEhK4lRnKyIKSbVUBAtGCmVcB/qrZQqO\nYHyoylIzQgjBSG+Jl87OEyVwsL/CXTcPMbmQhUT1VYukaSZMlIsOpYLLkdE+JuZWlxUveDaVosfE\n/GoITLno8RZ/jEIXD4RS0eHAwLWfT+9KcNOBXgZ6PMJE8gzQCmOKrsVCM6bgOhweKrPUijk/08Sx\nBEcHizx8x0HOz7WYbYaI4Sq3jvRQcLP+kJ0n+m7HKbNLHaZqIdO1DuVCisaj4EDHEljCwh8bZHyk\njD8+iJWfd262xlMvTzDdSLnv8BD3HB3hyWCCRivi7EILpTRru1vlosvDtw4TpZpKcXdX/zTsP5aX\nrV/773LOM2zOZvdnebu5j1eP/SEsSUmMRSJjpIaJ+hR3jN525b9gWlPrNDg5+3ombF3EZH2WudY8\n55YqhHHIXGueU3OnqYV1mnGLYPp1qsUSr86+xnxrAbBwrPUfmVSSKIlBwfMXXtm0KnEcZeEkGrTc\nut2OcCkVSoz37O3g90ZioVPHEprTi+eph6sd08nGNEthjUSmyDThcN84C+06qUzZIuf7ZRHJkIna\nFHcduP2KrlYgVZKtqtPFLXVfYlvrlqbXl0j6d6XRStF4+SXSdogG7L4+SBXh3DThzAyW7aKSFGUJ\ntII0VWgtSOOYNJWoOIFmHR2GyFSSJAk6X1lbCYvygTEmfu+3iFtttFIIy8LKQ9miuUzIsCsVem82\n3pBXAztfYtspVSgfux31mg2dFu7IKN7B8ZXjmufOA5B22tjFMuWRizzJtMapVKBQZPD++ynfcz9z\nf5FNdjiuTZpIykdvWskhNttukyzMU39l43vJOXeGkXd9tcnFtE+ot2NOTdWRUnJwsMJQtcDpmRav\nTi4wtdBicrFBGMfMy4RGFFMue7w2XeaTz9eYb4TUmhFNoenvK5NKiJIE17LQStFT9ohTSangUe+k\nxGlCrSMRGiYWmjQ6CZ5jU3Bt6p0UlMK2Nc+fnidOFVXP4YGjQ9x9dBBHWKRKUdnmyoyWgHLBoRl2\nf9f1lr19O5DpKRfpAforRQ4O9hClCs9uMN9KcFyX0T6HhUaEQlAsFWjHmrlmTCeS9BU9vnR6HpmH\nFnm5N1EsMy+2Wjum2Y5JpKIdRkRCoG0L19JMLtUZHy5SLbkrwtJtB3rpxDEnJuocO9TPoZEKD8aD\nfOb4BVphTK3ToaKL2AK8fAU/IQSuYxa1NECapisrgYVhuJKvp9Pp0Gg0up4jpSSO43VL2KdpSqvV\n2nao13I+IIPhemJfCEvLDJQHaXTalz5wl2gnIZP1aWzLotra6N4331xkrrWIa7nEMmW+tchp5yyN\nTpt21Ob1+dOUvCLT9TmWOjWODhym5K1314tVgms5FGyXolvAwmawvDGfk+cWGK0M85X+Y/t2CcS9\noOBmbuXtqEGYJpTcCyx4q4np5upztNIOURwx117k5uGjPNHz6BWpyyeDz5Lo3V7LynApLMeldMtt\n9L3pTdheYd1gfq/QicQuFamO3EHfWx5FAxO/858BsiTjd9xJ30OPkEycJZyfZ+TdfwsZR9S/8DfU\nnn+OOGqjO6Btm0JPD0kY4/X3g1K0g5eIFhazfDyOC66LNzJCobcfd/ggolxi+FETHrUXWMLCKbho\nSpQGBymOHsDq7cHr7aczM01jfgqVJoQTZ+Duuzeen0/rtyenKN5yG6Vbj9F57SS6y+Br4NHHCadm\nuDgMvf7lp9HJ1c0nZ9hbnj45zfFzC2itKRdcbjvYx8mpGq0wZrER0emkhElKs62wLAu3GVEqerTa\nCTJNEQI6icSNEpJYoTU4BegrFfA8mzBRLLYiNNCJUjpxTNFxcL0KcarpxBEWAs+yEK5NJ0mJO22q\nFQ8poVSwODe3Njfg+jyBjgW3jvUx2NM9TKy/uq+60jtCak1vJVt6W8qEhXZCqxMxV4sQlsDSmnOz\nDU7PNkmThIVmhGXZaK3pqxTwHItuWRvr7YhmGJMkCssSpFJSLri0ooTFtuS51xdWVCGtNJNLbaTS\nzNQiysUJGp2IxVYWQvmHn3kN17WwbcEd4/2MD/Ty2tQSiZTce3SYI8P70/PMkOUOe/nllzl37hz1\nep1arbaSlHlpaWnTxN9aa2ZnZ1lcXCRJEjqdDq1WC9u28bztL9QjhNh2TiaD4VrAvA2vICqfbak4\nVR44vDHR18TSJO6sy22DR2jLGM92uWv0DmphDaEEdx+8k2qhTME+Scktrvy9llbS4viFV6kWq4xW\nBjnYM8odB7t7AgyXB4yodBURAvoKVQ4PHKJou7TiDreP3MxQeTUEJExiJhYvoLQiTROS9MoJPzpf\nejlJEyzLIk2zVV6kkiRp0jXU0rA7WJZN+eite+ahIdOU8OxrqNxbSsbrQ2Ytx1mpm9NbRUVptoqY\nltkqcElMPHWBcLGOTCR4BUq334136AilwWHCky+TttvIKEJ4LsXxEt7BMbxKlbjRxDswTu/d9yAc\ny4S97RHx5HnSxXlUGKKjDq2zZ2lPTWO7DkPvejfFSoVweBjZbkESb/iOgMZybJxKlTQMCaemKB4+\nTCM4jlYWQtgg05XzBFAazfNgWQI7z+3XeuVFZKtF0m7iVc2y3/sBS4BjCZrtlJ6iy/RSh1ozRMsU\nAaQCHGHjFm08y6Jc9nARVEoOUeJQ0oKKZyOEjeVmtmOg5OAfHWC+HhMmCtsKSaXGswu4diYSuEJz\nbKyP4d4Co/3Z5N5srcPr03VmF5tUyi7VUoFaqBBic09SrTXT9Q5l96IusyW4Y6yPQ8M7X0V1v3DX\nkQGeP71AO0pothNqrRipBYlMcW2bw4Nl+soFbNui1rDQGmqdmFQpmlHCqO0hbAvPsfME64pQpTi2\nRbXoQRE8yyaWilQmFBybakEw0ldaWcx0YakNSuPaMFhx6KkWWWp0+P/Ze48mS640Te85x9XVN7TM\nyEQmRCKREFUoiG5UdXX39IzNsLngggtuZozc8J/wV3DBFW0WJI3KjMMR3eyZ6pquLgEUNJBAysjQ\nVwvXR3DhEYFMRGQCqEJK+GMWlnnvPdeve1wPF+/5vvcVWKzWhFmGzAAEW37I/iDCkQLPcfjwRgfP\nkazMPrq0rJJHh7WWJEmw1tJqtY6rjYwxzMzMHJtBfx1jDAcHB1SrVer1eiGq12osLy9/J2Fpbm7u\nO40vKXnUlMLSQ6BdbbA+s3LieaUUnx1c5Ur/JplWjKIRnuvTmfYJ04QvOlcJXJ+t0T6TZHL8+E4y\nk1PxfFp+g1a1wUJz/tTPKnl4OIeOn9uDfQ6cPspofNcjUzmOlLQqneOx2+N9esmYPE/5YOczBvH4\nga3X1e4mBo0yxQzwl53rJHlGJ+yzPdqhH41oVb67cV7J40/e2WP00cd3PeecYiCpBn0mgyHWGPLp\nCD0aocIIsKjhkHh3B29ugdqzC0jpFIKBA7JWxxWiaJUCZKNF6+VXENGU6dY21aV5GmcefaXWDxGn\nVsy2J50Oyf4eKo5QkxBjrhwn/ak0JdnZId3fwyQJE/kpVn098MIS3rhKur9Pcv0q008+QFZq5P0e\nwpO4jTbx1i0m164hKhUkX5mWSFfS/smbVJZXcRoNdBgSX/kc/ydvPaxfQ8kjIs0VcaZ5ZqnFfKPC\nwSTmxkERElGpBuQmBWOxFnyn8MDIMs3uMMIYQ6o0WhWvC63wPAlY6tWAXFnOzNfZHcUkmUOaK4SQ\neA7kuUULaFQ8nl2ZpR4U+3o18OlNUsbT4nOxxWf6rsM0SmnUghPCd5IVEz7RKameNw8mpbB0H+aa\nVf7ilXWyTJHnKV/sjhlNIgwCKTWeI0kyixSFx6R0HDzHYRjlhKlhEikCT2KsIcstYMm1JldFwpwj\nwThgsGgkqTbsDzOibIg4VJbiTBErTVW4JBqySYZBAgINONYw36wzijM+v90j0watLLPNCjXfxXMl\nK7MnPedKfji4rsvZs2fxPO+w+k6zvr5+X/PunZ2dY/Nux3GYn5/n+eef/9bm3SUlTyKlsPSIibOQ\nqldFa4XKFUrlGA1GG3KtcHDQRqHVV4/vRBlN1a2wUJ99RFtQ8nXWZ1ZY7MzTnXZJtUIrhYtEK118\nz4GgsT8AACAASURBVHdE+apcYZTCGIsyd7/2fRB4AXW/OIkFjo+2ipbfZJxM6E/HeNKh5lYx1hKm\nMY1KecJ7GjGHflfe0jLVcxcQAnTvgOm1a8UAV5KHEWrYxQoPd2mRSmsOshy0wW3OoLMc67ioLKVa\nq2OnI4yGbNAlvnULZ26OvNfDac9Qn/MJv7hy/PlOvWwleFQ0z1/AqdWJbm+js5z89ibS91CjEWJx\nEbdSwanXsQIMorjXdhzEkc+MAOlVQEiqz10kHQ4RnocFdJYgqj4mSopKpThB7+ziuA7BmXUEElwP\nmyvUYADLqzRffo3e/r/HPMDqzJLHh1xZjC2EoV6YkmeaLC9M2YZhSpjkSCyNiqRWcUmUJcl04WGS\n5WhjUbnGWosUAm0kniPYG0XsDiOWZ6tszDTpGlWEBhhDJ8zIcs1cs0Z/EvPJrQ7zrRpxrjkYRuRK\nIyQsz9SQ0sURsHkwZq83ZWWuzvrXWp9ceXqFpRSSM/PlZMw38dGNDjuDEGMdfEcyzXJyY/EcyXCc\nkOWao5ZZS1Fhm2cK1xUIAVIIwGK0AgRpqpjEGdhCaPKkgxDFe421BK4kipzjiqUkVSCgMlOj6kmM\ncKhXPHKlSbUhUpZ5Cbk2NCsewzDBdSXDaYxtBPf8/ktKSkq+DVpr0jTF87ynvrWxFJYeAwbxmJbf\nwHELQzghLUIKXOkgHYEUDtLh+PGdVByfc/NnmK21GEQPrtql5Nvjez5vPPMqiUnpTTp0ogG+65Db\n4qLI3OU5YnFciTECgfzaa/fHdb65rUpbzRvnXiXwAjKdk9ucnz73Jp/tfslvNt/HlS4vr10izEK2\nh/vffWNLvhGLJdvdof+Lv6V++bVHkginw5B48wbjG9dxP/sMgcWvVci6RfWcW68S9Q4QUYIW4DYb\nRSWS52ClREjwPBdhNHY6YfSPf4+VLtLzcWtVLAZvcYHZn/8lXnC38a3wK9RXyyrKR0lteRlrDNn2\nHCaL0cPDCxtr0HHE5JOPSLodbBwjPR+dZZjoK2cTc+hy0jhzhsa/+m8x4wnZYIAaD5leuYK7VKF2\n8UUqS2vE27fhDuN+t1FHjcaYvGiRk27piPtDwpNFMu+XO0OUNoSxwgLKFIJTkmlyZQjjnDhTGGsx\nVhK4LsYCRhEELnmusbK4DrICktzgSsHtbkh3lKKspeI6JApcz8N1JL7v0p0k9CcJg/Cr1k4pBf/d\nX7zA3EyDmZqP57l8udNH5wbpSV5Ym3tkv6+nDa01t3shFovvO/yT1zbojYuqtUmqcaRAG7BWYAFX\naMxhFZlBkBuNig1YizKAtLiOpN2oIABti0AKweH1kICK71DxnMN9CVy/mLzrTmLy27DQruE7Do6E\nLMkZhA6OjPEdgXRd/MDjoB+RK4MjHMxpJnIlJSUl3wJrLe+//z6TyYQgCHjjjTeeanGpFJYeIEYr\nlFZM0imdSffE64NwQKpy0jwjcRICp8JCZY7b/i55rqj5VapOQN0PgDZrzSWCUyLcHeFSDYJSWHqM\naNdavLHxGp/tf4GVDs2gyiiekuqcLBoejwuziChLMVoxSsZU3G/XSy2QbMyustS6t0hxu79FZlKG\n8YCarqNUhrI5k2RCmielp9JDwhqDiiKEMWT7u49EWMpu3yjWAcvko+tgDW6rhV9vEe1s47XaOK6L\n8ATSb+DVG6SdLsQheTgl6fXR4yFGSLxaFeO6iEqVysZ5RBpiuz1m3/xTmutnHvq2lXw3Zl55lXQ0\nRccJVufo8QiMRU5DjAXp+9TOnCVYP4NVimx/7/i94dYW82c3CC68gLWWwXvvEt68iTMzy+yf/SWV\nao3Gi5eIt26TTyakmzdxXBcFZL3uYYVByQ8JeThJtj5b59PtIZnSZEoXLUwGjNJFOqXjFEa1Dmhj\n4XASTUgXpS2u42KsQYii3dxziwtYx/NwhQNoqpVCtJQWqkFAEBTn06orWZtvIIWgVfNZn6tx8dzd\nqYfPl2LSA8FxHM4tNtjrHwrVDtQWPJSx9CYxu/2I+LDV0JEO7aZPmKTFfuM61AMXx3Ww2qKMwQoI\npznNqoMUECUai4DDH2MNAqhX3KIyTojDHwpx0oDWBi0FRoDruNSCQoiq+g6LrQqu2+AjBbHOubDc\nZmOpwTTOqVe8UhMv+VZ8PRWu5MnAGIPWmjiOieMYrYvk4yiKsNailDp+fC+UUgghiKKoEMiNYTwe\nY4whiiJGo9H32g7p+z6u+/jIOY/PmjyF3BrdZhCNudK5gRUnL6h70wGDeEiWZ+Qmw8Glm/RJs5hU\nZ3yw/SnOsdmvZG/a+8YqlSN/n5JHz3J7gTCNCLOQ2VqLZqVFbu4+wYzTkNRkTFVKkqcMknuLg1JI\nAumjrCHXKcpqUv11g92v2BrtMU2nWGPxXI9r3dsYdJGMMu0wTifUvCpOeaX0QJHSoXrhWSrPXyRY\nXX94H3zHTXw2LXySACqLKzi1Gv7KEl6lRrC8QvXsBZK9HZKdLWQQUFlbo37xEupgHzkY0P7xj9F7\nu7jtWVqv/gjT7xLt7DD/T/6K+LOPkX4Fvz3z8Lat5A/GbzRZeOfPTzzf/eXfE92+ie53cR2ByJKi\nIiCckA+LJEuTJEjH4s8d3pRbi1cJMJMx3f/lf6b23MXjaqQ8jki2N7HxlLQ/IO+4SN/H5DnJ1iZm\nMsQexS4LQe38BSorD/Hvo+SBEqc51/dDcp2jjGWzGxElisCBty8u8/6NLsZYDGCUxXEkicoxuaVW\n8fEdifIkWW5pVNxCfLCS86tNWpUiHXeaZISZJssV7VoV3xG06hX++WsbtOrFJJyUgqV2Fcdx7rO2\nJQ+Sy+cWuPw1iyJj1tkfRvzy4x1SpdgbRsRJTrVSoe4KBmHOXKtGq+oxTRW+BGWgP0kIfIcss8Xx\nRwqk4xaeWlqT5jm+5zIJM7S1NKsBgQPGWBoVn7lWBaMNApdxmKIMRImLIzJGEXTHMRXPQXoS10qG\nYcK/+d0tKp7k7GKT+cNkwMWZKs8un0xgLikBuHbt2nEqXL1eRwhRhic9xhz56m1ubpKmKUII8jxn\ne3ubbrfLYFBcA926dQvf90nT9J7Lunnz5rEPFxQVS7du3cIeXpNrrb9XQ/ZKpcIbb7zx2IhLj8da\nPIUU6VvFTrVSn+Pc3NkTYwK3yu60g8Sh5tWpugFn2mfYGe0zSSLalQaLjUWklLT8BvON+9+4eY7P\nc4vPPIjNKfkDqfgBIO5ZTbbUnGMwHWGUwcGl5p4eZ3zEamuV+Xqbj3c/p11psNw8PZECYJyEGGNY\naszje1UORn00ipXmEkorAhnQrrU4P3+WD3Y+/WM2s+QbkEJSXT/70FLhkr1tplc+w6qiKi26cY2s\n38NbO0tlpl1c5CQJ0c4uSadLsr1NOgkxcUY2mqDMp4WvW/+AbDzFGHAOE5HyVGHvM1tT8ngia8Wx\nJev3CtHxa4JysLrC6PpVov0DZL9PmimE54N0EXOLZPv7qPEEfzDC2K/2Y9maIb55AxXHiJke4tCP\nREUx2WgMUpKGIX7mkfR6GKXJx2OwFtntFQuxFowphaWniK1+xM2DAXGm2DyYME1SHAHnFpvsDJLD\nXVAcpm9ZjBIIbZFYXCkw2pIpgysE2hiU1uS5YThOGE1yhITuOGK5VWO+UeHsQpO9cUK74nDp3MKj\n3vySb0BKyepcg8XZGmGaUw1cPt8aIYQBKY8N1T1XMOt61FyXjeUG/+njbfJckVuLxbDcrlH3PYQj\nCdOM4TQlz6FRleTW0mp4zNUbgGGrM2V5pkY18FhsBBidsdmLMVrRDCoEvoO1huV2A+dwEjdMczqj\niEgLOuMYUWTJMYoynlloHo8rKbmT5DCBt1KpMD8/T7VaJTuRtFryuNBut1laWmIymSCEYH5+njRN\n6Xa7NJtNFhaKc8re3h5BEBw/Po1Op4OU8niMtZaDg4NjoWlubo7K4eTIH0uv1yNJEpRSpbD0Q0EA\nZ2bXeXnt4onXmn6dq92rxNKlXWnSrrV4ceUCN4Y3mGRTlpuL/JeX/9lT3Yv5tLM2s4y1hii/d5Sx\n1A6fkvPK+kVeXrt06phxPGVvsseZ2XXOz20wTieszSzz4zOv3HO5FsvB5IDXNi5TDxpMkim5zfnJ\nuVep+VU+3bvKUmP+1PbKkiebdHubbDg+Fg+MUphc47VmCGaLlg81GWLyHNPvovpdgmqFfH4Oxxpq\nZ8+BziHJEEZj4hByB+l6pF9+SrJ9G+uW+82TRLU9w6hSwWQZ1toTyVc6zfAbDdT8Ano6RiiFW/3K\nmDjOcqK9fWS9xfP/zb+86737f/NvEdaw+Ff/4lg8jYcDhONQ29gg7XRwfBdvdYPoyytfiVp3VNXp\nOCE7rIwCEL6PVyuNkZ9UrCm+22bgsT5fp1XzmUYZ880qo94UKaHme1hdCAnULWEWgKAQlbTFFeC7\nAt9zyTKNliCkw2vn5/n91Q4YiQbeen6Jn10+w99+uEV5m/9k8fZzC3xwvUfmSVZfWuFgFHGjG6KM\noFn1ODPf4Mfn51lfbAEwnGbsDkO+3B4grWR9ocW5hQaptmx1xoBDxZVYLKk2PLM8Q7vmU3EgTAzL\ns3WqgcurzywirGUQbnF2ocVfv/EMm90JmTb89NIqM/UKxhh+8ckO4zgnzRSNwOfN55d47/rBcfVB\nScm9EELQbDY5c+YMSik6nc43v6nkkeB5HhcvXkQpxXg85vLly8RxTBiGLC0t8dJLL2Gtpd/vU6vV\nePnll++5rPF4jJSSy5cvH7fCDYfDY2Hp0qVL1Ovfz7XNRx99RK/X+16W9X1RCkslJQ+Y9dnV+76+\nOzzg9mQLg6YXDk4dM4lDbvW3ifKU7rjHrf4WYRaT3qd3+1rnJqN0wnubH1HxK0ySKZWgFAN+COgo\nLP5zdPF7+K/Jc9RogJ5OsVYXyvfRGAF+xYdqg9pysc/aJAbXpbq68pU56hHZvUuBSx5TpLinz5Ge\nTHAcp2i/dl1Uv4eZflVpKbIYr1pFCEX40fsEyyuFIACYcFokdg26eIvLOI6L63mF/43vkTkuQjr3\nrXTLw5Duf/q7rz5PSuZ++mcEc/Pf08aXPAg2O1O64+J7zdRXvn37w4jt3pTFVpV6xccKSJVhbxxz\nMAgx2rDQqLC+OIuxmsk0Y5IU/kuZVohEkWkPzxO4UiJdgaMlAsHOIKTiFWEXaaYYhin/47/9iDjL\nWWqXyaZPEr+/0WcQH1VyGLyKjxVTHAHDMDn249oeJMy3ArQRzNZrbMxljBKNMpZmrcJbG21+/Rl4\n3gTPcdkdFOfAMM1o13yWZxs8E+ZM05xcGbJcoTAoC/0o5d1rHeoVF9eVuLJom1TKEKWKjfkGUaqo\neJLffLnPjf0J7dr318pS8mjQWnNwcIA6DJuw1p4QDK21xxUhvV6P4XCI4zhIKen1evesPLmfB0/J\n48Od37kx5vixMQZjzPGYO187enwaZbtjKSw9MIqd8OjR6TuhMRZrisoSYy3W3HtnLXl6ma02caSL\n1pb+PYSlaRoS5wlhEoKBOE+YpJN7jgeYJFPiPGYQj3HSKb2wz3pwf5Gr5OlAuF+vcjxsT+rtYw5P\nfEVFwVdVK1YYjFJ4AmQlwJtfJBsPscKhsrwOh61wGEPa7+HVGyeqXkqeXBovv4K/uEiuFOzskPYP\nUFEhHkpXYn0P4fv47XnC7W3C7e1jkSq8eRPXlfR/EyAdiQwC8mlIurtF7cxX7W2Nly5hpSDZ2cGZ\nnSE4s3HquuSDASackty6XgpLjylaG67tjfjHK3ekidriemYQpkRpRpQqcq0RCLrjiNwYprEiVxoJ\ntOo+13aGHIxiLGBtcd3kOQ5CgjWa4URTr/kILAhDrhSdgUVpTbvuM+O7JKmiO0qwEoKwbDd5kqgF\nHoPo7kkKgcRaGIYpwzAlSnMa1ULk3h8WJrphnKKsYBRn1Ks+K3M1ImWQwmNtJiCKczZ7UyZhTlcm\nzDd8pHQwKmVnFNObtmkFAUJAlmt2B1PajQqrs18Jk77v8tq5efbHd1ec39if0A9TslxRdUqB6Unl\nd7/7HVeuXAEKw+XJZHLquDzP0VqjlCIMC4sJ13XxfZ8vvvjinss/rTK45OHiOA61Wg0pJfPzX11L\nHH0v7777Lnt7e8RxjBCC/f190jTl17/+NXmec/v2bfr9PqPRCGstm5ub+L5/qiG7lJJnn332oW3b\n40opLD0A9scHfLx/hb1JhzCP+WDvc2Jz8mKnO+7TjfqkeUqsMvrRECkE4+T0g1vJ00klqPLs/Dle\nXnuB9fbaqWMG0xH/uPkeZ2ZXODezwX++8VvWZpZ4be3yPZf77u0POZj0eOvsj3h36yOOzJtLnn7k\noTHgzM/+HDvoEW/dIrCW2rkLyGqF5quvnfCzyQ/2GX3wLrVnnmXm1R8hRGHgnPR6zPzkDZzDllyd\nZ2Q7O8hGA79ep5yXezoI6nWCC8/SvPAs2WhI9z/+f5g7kiMdz0fnGcJY1GSEVQrhOtRfeJFgNMCR\nAn95iXw4KlKXkoR8MsHcYXIZNFrIV14j292hurzE7E/ePHVd8jim8+//X0zpSfFYopTmH67sc21v\nSH8c47uSVtWnVfcRQtCuewzClKs7Q8aTmErFx2iLtiAReI7DxbUWSQ7KaLS1WJVT8z0c1yXRBmkk\nyCJ2vuEL5qpVMmOZrVep+JK12TqOlJxbqjHbbFCveFzvTJhvfj/eFSUPhx89u8jlfO6uSpHnllts\n90I6w5BRnLEyVyfJNHGm0HWX3jhhbabCZi9BGcuX2wN6w4j+JGYSZ3y546C0YJLkDMOUwTTGFbA7\nDI9v9nMFz63P0vjoNo1akQaXF4UrKKOB4ny3vthkfbF51zr//toee8OEf/PeLX56aZ2V2bJK7klk\nMBigtabVapHnOUmSIIQ44VWjlCJJEhqNBsBxNUuz2bxLrPg6ruuWvkqPASsrK7z99tt3VZetrq4S\nxzHGGIQQWGuPv3drLY7joLU+Pi65rntXddPX95E0Tcmy7LFrS3sUlMLSA+Bg2iNJk+I2XlscI3FP\n+VU7OAgE4vBficDFxZU+Da+GX3qY/GAoonV9fO/02S/f83AdB9fx7vi/e8/xAK7j4ToS3y3TcH6o\nSM8j7nUKk9xmG7/VQgQB7QvPnxhrA684CrneiVk2qzK0sEjpkh/sY7G4jdL/5mnFb88w/5d/RXLz\nKgDS8XAWlxn+7jegFG6zfVytFLRmqa6uIa1h/q13jj2W9v72PxBv3uAPErSPIsJLHktSZZnE6eHX\nJHh1Y55zS83j5DUh4GAcsbk/JswUhhTHkbQETCk8JwQOkzAmzBTWQOB7vPbsEtLA+5t9EmXQGhDw\nwto8qTEc9Ca8uNbm1fOLbCy17lqns4tN/u6TbdDlBMqThufdfY1ycWOeixun37C/d63D7mBKPXCo\nbg75/Ha36BDAUHEkqecgpGS56RPv5TQbAReW2lxcnyHJFbvDkIrrIoVlGqfEmQIhijZO++2OOVXf\nZRyl3DwYszHfKoWlJ5yf/exn5HnO1atXee655zhz5sxdr/f7fT788EPW1tbY3d09TvxaX1/n+edP\nXksdMRwOef/99x/06pd8C77eojY3N8fcXOE3GgQBg8GAN998k1qtxng85q233iKOY6y1LC0t8eKL\nL2KtJU1TqtUqr7/++l3LGw6HfPjhh3e1yWmtjz2W7hSljgSrp7WarRSWHhDTNCRwXHw/YK7ZYql9\n8iRphOHmxAdrqXkBFS9gvjlLZCOS7N5mzyUlJSXflerq2p2db/fEGk0+GYIFk8SkW5sc/Id/hxCS\nytwsbqu4ofMXlh7wGpc8KrRShB+8Sz4+rJ51XNwkhlPKv5PbN8kP9vEXFrHGkHb20FGEHo8xSYxO\n48IIXoJOU3Sa3tPnqeTJol512esqfvn5NoNokZ+/ss7cYRy7siAoBMIktxijmVqDRABFVZOylm6Y\nY41Ga8HeIEJISZYrzGFSoBQCxxWEw4xxauhNE67sjbmydzJpVWlNzSsva59mJlFRARImCgFUfQ8Q\ntBoB7XqVdG8IUlLxfSoVFyEk0yxnqzsFKZACokyxP475x60uuRFIDVGmWZ4pBCLPuf9kXKoMyljC\nWBGl9/a5LHk03FlpcidSylM9cJRSaK2PK5GOPJfuXN7Ra0eiwb3Gnva+o39LHm+O2h2NMeR5frxf\n7O7ucnBwgBCC8XhMnuf84he/uOu90+mUbrd73DbneR7pHdXat27dOt4nsyxjY2ODF1544a5l3Gv/\nfNIoz8APAGM0O6MDJmlElqfsjLo0gtsnxvWmA+IsIkszkIJU5dwe7nAw7WOtpebXHpv4wJKSkicb\nk2doR+BVT680yg5LeJObN4ivXwMgvn0TFUb4awaEIO72UDdvoccDpO/iNcuqpacRk0Qk/WFReuL5\nkKbY/kk/N2stvQ/fhzwn2dnBhiHGKc5Zk+tXyccTBr/+Ncbx8FwPnWToPCfvd6iuLD/szSr5nsgO\ne4aSVNMbR/RGMdZKnltpHgtLZ+brLLSrjOMMawzSdekMI3xP0K76LLWrjGKFK6BV9fEcyWwt4Nxy\nixfWZ9jsTrm1N2apWaVeCdhUEWmu2eqG+J7HxtfakwDwHM6f9nzJU8Pls3M4EqZRwihM2XIkxmgm\nUU4aZlzfG2CsYH9QwWIR5PTGMVd3RriOQ5alWOny+VaXvf0pubGIXDCOclo1TaPq0RnF1Cv3TmPO\nlKbmO0gJ1cChM4oBmKl5eKWw+UjJ85z33nuPJDk5OV+r1Xj99dePKysBwjDk3XffxXEcDg4OGI/H\n3Lhx4673pWnK9vY2g8HgOI7eGEO/32dvb++e65JlGVtbW/R6PRYXF4vK8W8QLUsePkffyW9+8xu2\ntraOvzeA0WhEnucYY44r1aSUJ4TLNE0xxtDtdomiCN/3OTg4OH79zvFpmrK3t8ft23frAs1mk7fe\neuuJv+9/stf+McYWltx4nscL8+d469zrJ8Zs93cZJCNiN6EZNGgETX68/jKfH1wl14afXXjzqS2V\nKykp+eOw3zQDZi1W52ALU+5sa5PKM+dxZ9todbLvX09HWAzCGvRohDM7i3AkwnWprK0jXId0bx89\nHWM9H53ljN59FyHLY9SThI4zomtfcL/yNZMWN0rB8irVC88y/Ie/xxECZ2kZ6Ui8maKEHGvJRmP0\neIiOQ0ZXryCExAkqSM9B+D7S8xBBHem7OLPzqP0d1FFqYckTSefQzLgZ+LTrFQLP5cJqG8//6mbc\ndR0qnkOcSXAkqTa4jjg2576+N2W3P0EbQ5zk1AOHHz+3wOVzi/zq0x2SVOG5AhzLrYMxkyhBCphp\n+Cy0K/z00kp5k/YDZKFdCJc132WmUeXSxgyudHn1/Dyf3+pydbfPNDNIWVTGVXwXsPhSIBxBu1Zl\nHBlqrsd8O+B2r2h3SfKcJMuxpkKSa4yxh8s4SRjnREnOM4st9gch3Unx9zDTqPDOxdWyi/cREsfx\nsRFz67C62hjDZDJhOp0SxzHVapVer0en0yFJkuN0tzzPT01zy/OcPM+ZTqf4vo+UEmMM1Wr1+DNO\nI0kSgiCgWq3SbreZnZ0lKJOZHzs2NjaOq8rOnDlDp9M5FoKOfJmUUnQ6nXuec4wxZFmG67pIKXEc\n59TEwKN2OiEEg8HguJLtqLppdXWV8+fPP4jNfGiUwtIDJJA+qfRoVVssNk+2wkVpTOB6xQHKrdAI\nqsw35mhNm+S5fuJVy5Lvxu5oj1ydXlY9isZ0wyG+54GFbjgoLs67t06MlVKy0lh80Ktb8ghRecb4\nH3+JCuOTLwpQcUp88zpGK1Rnj3R3G51plNKgDNnhbMydpDtbpP0uKjc4vk+j3cZqg1WKZGcbQVGi\nG6ysIaq1on3l8GQofA/nHrG7JY8PbrVBFsWMPv30W413GjWcWg0cSR6GEBaCULa3jzis2HbrFYSp\no5IY1SkSwtxmi+DsOWycAAKbxXhzqyz+7Gds/V//+4PYtJKHyNHcq+9KFmeqjMKMdiO4ZxtamGqa\nvmSgQWPoTFIqrmI4TdDG4LkuVjq8e7PHe9f73OqMQVjiTONMc1oNn1a9QqsGP76wyIsbC6Wo9APn\nqGUkV5ZxnnB9b8TiXIP//q9f4f/4h2tMlAFrqfiCxVadLDNIaXGkoOpZXj43z/vXcnyvmGRR2jCO\nM64fjPFcwVZvyoWVFheW2yc+25OCNLNc3R1xcWOe0WGq3VKrVopKjwlLS0tcunSJra0tbty4Qbfb\nJQwL83bP8+h0Okwmk2Mham5ujn6/z3Q6PdG2diQqKaVot9vU63WazSZnzpzhueeeu+c6DIdD0jRl\ndXWVixcvPuhNLvkDabfbvPbaa984rtfrMRqNTn1tMplw/fp15ufnj9vlvl4Y0uv1iKIIKSVCCCqV\nCkIIzp49y/Xr1xmPx0+F2XupXJSUPGKqXgUQdCY9OpPTEwWmaUh32sEYxWA6ojvtokxGrk/v7x7O\nnn7wK3k60L3ucauSU7u7HU2HU0yakEUhZmcTEyeYLMMYizO7gLuwgHQ9wKLjGBMXM3RaKbIoxjgO\n0q1SWV5DT0JEo0XzldcQ7lfVCJXl1aIKqtcBwJuZLYXwJ4CZt/+EeG/nW3kcCelTW1tBSsnsT3+O\nmoyxaUbWOcDc4bUUNNuwuIKotxge7GO1RmqFnYZYC3k0Je51UYM+K/lXF01W6weyjSUPCQvTNGdj\nscl/8ZM5JJIzSydn7yWQ5Iq5Rh1rQ3zPAaOJlUBpQc13adSLEIpm4NIdZzQCj2GcstCqMlMPqPoO\ng2nK8kyNy+cWmD1styv54eJ5Ds+utEhSRToKSXPDNMlZbbWZa9XQkwQpJA3fxVgYJylxkoPVrM63\nqAYel9Zn+WxrRCVwqQYeVc9FWIvKLcoodgfxqcJSvRGgrcFYi9aGv/5JUWFQikqPH/1+H314rpFS\nUqlU8H0fz/NwXZfZ2VnW19f58Y9/zHg8pl6vH5s6H5EkCdZams0mS0tLCCHwPI+FhYVTvZxKocYS\n4wAAIABJREFUHk/+2O/qTsPvrzMcDhkMBiwtLXHx4kV2dnZOjJFSMplMsNbi+z6Li4vkeU673WZx\ncZHx+KRv4JNIeSfwLVFKsTXeJc+/WU3cG3dI8ohU52RG0Qk7fLl/7cS43fEBYRaSpIWyqY3mRvcW\ncRbjinunfZU8XZyZXcURDul99q1RNCZTmtX2Esv1JVKV47sercrdF/JK5+yM9xCAUpZBOuDG8DbD\neMg4HjOX3TsateTRYg+TI+QpM/FGa+KtTWwSY61g8vHvUNOYYO0M9Y27E0yG7/4GHU3JD/bIBhUc\n18FagZBFWo5UOTaLSXd3SHd2j6sPdJbhuH5xcZwpou1t3GYT3/dpPPPsSVPBICColx5LTxKu59Hc\nOPed31ednYPZwwuq5184dYy1lvoLl4h3d0iufY6Qluq5c+SDAdH2DooJkw9+ix730VFE2jlAqxzH\nvbeXCbbY90/7myh5PKhXAs4uzXzjuMCVNGoVMpXjuJIwyxGOoFbzmW/VqPke7XqVRrVoFdnuTtAa\nZhoBUa5p1nxmGhUCr9wXSgounpkjV4YgcKj5LlGmsFgqgYsTShwpUdbSch2MsqTakiYa6UR0JylG\nF2Ndx+GfvrpO4Lp8vj3itQtzfHjrpKfcEVZZHFeQK4uE4wqXohLh/uuslMZxnFKEeogIITh//jy3\nbt1Ca33c9nTkldPtdvnss88YjUakacra2tpd79daH7e0HbWyCSG4cuXKfT/3qPqktDR5dAghsNby\n7rvvPlBj7CiK2NnZYTwes7x8un/kkbB1tD8kSUK/32djY+OBrdej4ActLHWnfTaH299KxexHAzZ7\n299queNkQj8ag7WkWcqnu18yiCcnxhXtTWNyo7DSEmcp1/u3aAR1akE5I/dDYnXm/glbg+mQrckO\ni815Li0/y85kB2UU4+RuhTtXOXvjDtM0whhLlEfc6GyxN+4wjqf4491yhuUxZfz735INh8z+/C9x\nvbuF5azXYfT+7wGwGMIbm1gLcmaO8eef3zU22t3DpilWG/DB3zhH3jvAn10AAfH2FtHN6+RhjBEW\nIV28ahWEBM+ntrwEjkfzpcsIIfCXlp6KpIqSB4sQgoUfvUZ+6UX205B80McmMW61gtUamyZ0/u7v\n0JMROooZf/IBs3/+FzgzC6ctrNhX9/dR//FvmHn7HbxGacr8uJFmmjjNubk/oBG4LMwU39FgEvHp\n1oj9YUymFMoadgchWa6YJgprIDtKbrKw0qqhtOHm/gjfFbSrAd1xTJQqhmFMs15hY77Bc2ttapVy\n0q3kJEf37ld2h3RHKZM4p+K5eNKhUXEI05TxNCNXGusUrW4eRbpbreJgpSxa2gR0p+l9P0tbTaPi\n4TiC3cGUv/mwaC1fnavy6rl72xDc7k75ZLPHxkKLy2dnv7dtL/lmrLWMRiMajQaO45BlGWmakiQJ\nnuehlCLLMhzHOdEKd+Sfc5QY9m1xHIcgCO4pNJQ8eFZXV0mS5FhQfFAc7SP3+5w8z8myDGMMQgiS\nJDlusXya+EELS1c7N+mFPb5NBncvGjKMR9S8GjOVe5u1ASQiRiCx1mAReNKj5p4UinI3RzojarLC\nYm2BZlDn5ZUXmanPsNw45WK7pARwXZefXXiLYXyybDLJU8IsYaExAwj60yGXVp4nzXPG8RSDKYWl\nxxFrCbcK4domUZHEdSeHrUfu3AJuo06yvYO7sMDMG396Yjl5HKHDCemwj7u+RvuF5xh/MIUsRVTr\nGAHW8XAW6sxcfIm5N/8EhCS5fYOscwCuy+xPf061fbIFoKTkm/CCgOaLL5Me7AOWcHsT4VdQUUg+\nGKCiEJ0kGKtJb90gaBWVUOIO8dILAmoXnie6/iX5NKT7t3/D3M9/TjBbVlw+DkghsMBgmjJNcz65\n3afiOfxXb51nrlnl371/m93OmFGUMokzhJREcQ4GlAHfpbhGwhAmGbd640PjpuLc1B0nhJlBKcvz\nz7R56ew8y7MN5lvlhFvJ6azPN+iNi2Smtbk68WGS00yjyvJsA0/ukStN1Xdp1yrMVj36kxjXkeRK\nc2WzR5JpRnGOZw1uxaNpTxcRXr+wRJoZpqniVndKOy1uJKdxxuUzC0gpTq1IGhx6it3ujkth6RHR\nbDb50z/9Uz7++GM8z2MwGLCwsMBrr71Gv9+n3W7zzjvv3PWefr+P53nf6KlU8vixtLTE0tL9J+6/\nD4bDIY7jsLKywosvvnjqmE8++YROp3NcLXdU4XTjxg1GoxHT6ZSrV68ynU6/9edubm4SxzEffPAB\nruuyvLzMmTNnvvmND5AftLBkMAgk75x/E+cbko1u9Le5svclF5eeZ6kxwwd7n5Ldw98mzCI8x0U5\nCs9IGkGdRu1ky4hG084bLDbmeH3jFbaGu6y0l5lvlCeckvtTr9SpV07uU1EaMVNrMd+Yw1qBMorV\n5gI3ay2cH/af+1NBsLBA84WL5DtbiHqDxpn14gVriW/fYvzxB6Q3rmGzpPg52GecJaQHBwjp4qYJ\n3twCjYsXqV18ifkfvX5clts4s0YWhsggKP2SSv4o2i++CC++SDqdogZ9/PkFlDUk4wk6SVHRhEBb\n+r/7HenuAcJzab3+xl3C0czll6k9c57+P/xnTDRFTydQCksPBaUKo38jjgySc7Z6McZYfE+Sp4p+\nlFCvuuwNY+ouhEnO33+2R5jk3O5NGE4zMpWjtUVnGktRVWItJJnBdyWBJ6gEHlFS3JgHXtEilOea\nVsVjabnOf/2zi2UrSck3Mtuo8vxace1sreWLnSGOIxhMUkZhiuMGzLYlM3Wfqu/juIJq4IKxRCrn\nVndKRbqM05QbXfBcidanC0vPrc7w3rUumdJoC1mmwRi2k5xffLKNFIKlmTqXNk62iGplEU45uVdS\n8kNlaWmJfr9PkiTHlXJRFJEkCVEUEYbfPjU3TVPSNCUMQ6SUaK1LYelxoBHUvvFGqlmpUQsqNCs1\nMqFRWuPgUHFPJiH5zghjDMYYcm1wHZe6e1IESJ2MQHqcm99AytI3oKSk5JvJRwN0FCGwJAe7AETX\nvmTw3m/J9jtE+3tYKyDPyFOFVgaTpHgLswQXnqc6v4DwA1oXL524YfNLz6SS75Gg0aBx+RWizj6R\nUdRWltFRwvijjwCL8H1UnkOaknc7JyqS/Hqd6tlzhJ9/8mg24AeIUppffbHPrz7dRivL0lwNIRwG\n08Lk3xjLYJrTrnu4DmSZYmeQopRisxOjjUEKQZqpY88b/9BTRgpBbgyehIVGhbcvLrM3ShCA6zlc\nWpthYbbGaJKSG8tLZ2ZLUankO3N2sUEjkNhDgWehXQcBEoHSlmmckqaaRi1AYslSBViMLATO7iRh\ndbZGfo/OmZlmledWmtzuOFQqLgutgL1+SD/KyDKFwpJ2NS+stXCcryoxp4ni6s6As8vl5HFJyQ+V\n8+fPc/lyYTVx9epVLl68yN7eHtZaXnnlle+UIPjRRx/R7/d5++23effddx+LjpRSWPojeGHpWZ5b\neubE8x9sfUw37pPmKWM54aWVF/izF/7kxLhb3S2qQcC5uTNE2Smx4SUlJSV3kA/7TL/4lPD6dSyG\nfDLFrdZItjfJu13yMEL4AU57FptH1FbOoCdjtOvTevllZt54m+a5Zx71ZpT8gGg99zwmjRkGVebe\neYfw+nXCK1dwAp+5H7+OaM4wef89wBblLKWQ8EgRQnBuqcn/85sUz4G9Hqws1MFaXMchN5rFlodw\nBdNQMY0y8syQZppMGKQjwYLnSZxE43guFd/BdYsAgTzNmWlWuLQxxzuX15mtB3TGCRXP+SrtbfXR\n/g5Knmw2ltr80x+d49r+mJmaz9mlBj86M8f7W0XqrjXQGYUYC8YKXNcBJJ5wcKQm0xqsJfAEm/sj\njnoTZqoBc61iMrlVr9CMFaky+J7L2nwTK0LmZ2r0xtGp69WouFxYnSHwy4nkkpIfMl+fMBFC3PXz\nXZfzOE3AlMJSSUlJyROCTVNAYKTEabRxGi2q585BnpCHIVIZXN+l+cLzmMkYf2WNdGcbHYWIb+El\nV1LyoPBbLfxGg9grUuCsyhh/+Hus9El2tiGOyDodWm/+yQnz+pKHh+NI1mbqrM7UGccZFsvabJ1x\nrOhPQpSxSOEgpWUS5Wig4kLND6hIQSoEYZyhlUF6kqovmWsFrM7WiHPojKLjKo5mxcd1XVbnGo92\no0ueOgwwfygCVTyH5cUmr7qS4Tjkyt6EKFM0fFl4DmLpjGL6okh2y5RmexCyNwy5uT/mwnLR0lYN\nHP7Zaxu4rkO7ETDZ6pNnhtmzc+wNIra7E2bqAXGW066f7GaoBR6NqkfrMPmw5I/DGMPnn39+3Dpk\njCFNU6y1aK1J06KSMs/zY0PlmzdvIoRgf3+fvb29IpH7cOxRWlyapic+p6TkYXDt2jXG47v9c6WU\nXLx4kUbjyThPPlRh6eLFix7wPwHPAAHwP1y5cuX/fpjr8G2ZxGNuDXcwh+Z9nWmHnUkH1/HwHZed\nSQdHSCJ1cmbidn+HcRph1P2TJUpKvhtFieMfW+poscfFARaLtRZ7aJxqLYePT37G46SIfx887OOR\nNYZs0Ec4Dv7MH14Kb+IYf26OysoqS//8r3FdFzsZkQ2GCOlgLHj1JnkSI8sb9JLHiLzbwZubQ1Yc\nUBZjBSrXGGNRaUrS6VIb9HEXD1N0nrJjzr143K6N+pOEXBeBAY4UfHq7T2cc0awEJFFKlCXM1lwa\nFZ9RnCJk0ermV12yROM5AiMFFgesJPAdepMcpSFXUAsKYWmSZFQC71FtZslTTJQWdUbtWsB8I+BL\nYLFdw2pDNYiJM02SapoVlxCBMhpjBWAw2jKJMjzHI8kVB6MJYaJASBZaVeYaFW4ejMlU4R1WPdyH\nj66a7nWFttiqsj8IWZ17fE3oH7dj0f3IsoyDgwOgSGDb3d0liiKEEMRxTLfb5eDggOl0ytzcHP1+\nHyklaZoSxzGTyQRjDEEQ8PnnnzMYDAjDkF/96lenfp7jlJVmJQ+GpaUlrl+/jlKKJEmOnzemCFw6\nODgohaV78C+B3pUrV/7VxYsX54D3gUd+wBonIa5zd5z2hzufsTPc5ygxbpxMORjvM5wOkAJ60Zi9\nwS6tg+snljfNQqbxGEcIjAWJxzienByXRiQqI85ijH1wMYglTwuC7eEO42R0zxGpUmwOtxjGQ6yF\nSTbFuSXYHG4xzcckg4R//e7/SX86YGe8R6ZTrDBMk5iDyQG5zvnt7feoeidn2xzp8crKRZrVpyb2\n+6Eej5Kd2wx//3sA5t75KZXFPyyCNut10UhkaxYVRYUpcr+PzjKC9TPIehOpchzXx4QnkwNLSh42\nwi1m6CdXr5FNxggvwJiUtNtD+B6OK9FJiLo1YijBbRXJq9JxsNXao1z1h8Vjc200jRP+9d9/Qa4h\ncKDdqjCNFdbCxnyFj8IUpQ1RbkjzFKU1S+0KrZqP50riNERIAdoihIP0HHYHKb4jyLXFYpiRpZhU\n8v3y++sdZusB860KAkFnVNycDSYZwhEYa8m0Js1zsIYkt+S5ZhrnSCmYbdQAQapyhBBYiuTDpWaN\nV88v8tHNDuMkZ68fcutgymgaE6YG34XBpLCyiNKc63sDFpunH7Ou7PQ5GMf0Jgkbi/dPl36EPDbH\nom/iaAJ0YWGBl156iV/+8pcYY5ibmzseE0VRkRS4tkaapgRBwIULF9je3mZnZwfP8zh37hxQJC4H\nQXDX+49wXZeVlZWHs2ElPzgWFhZ45plnOHv2LBcuXDh+/uDggE8//fQRrtl352ELS/8r8L8d/l8A\np8eqPSTkYdztr27+9sRr28N9JumYleYKnutiKcq/p1mK70gylSOMwJEnvZHiLMEageN6gGFrssXw\n2uDEuN50QCfskuYpAqgHT4YaWfLwaddazFZnGCdjwuTeflyZyomSBAcHawVRGpOqHKsFYZrh6Jzu\npM84npCpjDCL2OztUPUqKG3IdUacJhh995ybtgawHIS9p0lYeqjHo3wyId7ewmnUsMkfWM2oNSZN\nsLni/2fvzX7syu57v89aa09nrFMTi8V5Zo9St7pbg2XLsu81bhIEeQoC5ClAnhPc9yAX8d+Qh7zm\nLU8BAgRBkntjX1uWLNttSZbU6m6S3c2hWHOdOvOe15CHU1VkkUW1euDQrP0BCjy15108e+21fuv3\n+35Nb4ve3/wVzmgmn9zEZSl6MkYuLNK+eo109R56ZxtVf9DJVdHjAcOKiqdN88oVhBRk29skO5s4\nrSHNSe5+imrOAODVQmySY6UgOntuamhhHeXkHt43ZKbuK/DC9I0+2RjSG6fsJ61OdmOEBGMdG4OM\nTGsclqwwj5TXCkrt8KTEGEGSF1jrKEqLlAIZeVhjwIES8shzV1R8UZZm62z2Ewpt2BrGbA2nZVGF\nLulPpu9ZIeHUXANTaIwUlCVI60iLAqRCKklhDEqCsVCvKYoS0JbF2YhGzcdTkqzQjNISpaDQBuGm\nwdM40+TaUA99OvXaNLB6BIHypllSjRc6sPrU26I0TdnY2DgoT/uy5HnOYDBAa43v+/R6PcIwpFZ7\nkBHm+z6+71Or1fA8jyAIqNVqBEGA7/sH9vBlWbKyssLMzAzf+ta3vuotVlQcW55pYOnmzZsTgOvX\nr7eYNlz/4+ftc/369b8E/qencT1XFi8QBsGRZT+ZLlBKcGnxLKEfsjPZRbuSrMxZbMyx2Mo41T7B\ncufxCPb93hrduMckjxllE060FpmpPz4Yl1KSmQIlJWmZE9jyadxmxUuAlJI/uvzu55bBJXmClJKl\n9gLOCbbH2/z46g9ohE3+5//4v6KU47/9/n/Nre07/F8f/H+0ojqXT1ygXWtxY/MzTrQX+NHlH9Cp\nH55NW+mu87utj14Ix4Gviy/aHn31tsih6nVsnOAtLn65I2iNLUtkWEPwyOBsr+zNiyLE/sCt0cRf\nWMQN+rTfepv6UjXjVvHsUUrRvnoNr91m62/+ChwYLCrXqDkPGYTIMATpEczNMXP9dURzhtEv/xEd\nZ8iXvATh2bdFT6Y7zAk8xSguAKhHPlkxHTjvjnKyvMQ6QBl8z0PJw+2QkALrDNpYlJQILIHnsdyp\nkxYlG7sJkySn0FWQu+KrszhT51+9dRZrLevdmNJO+yivnp5jqz/m5ze3SMuSO5tD+pOMSVqgnSPw\nBTYXBwFUA8Rxge95ZLlDa4tSkn/6pMvN9SF5VjIpDL+918VZS5wVBM7ihxHaGHRZMhxngOXs4syR\n1yoltBs+vnpx5W2fRVu0trbG6urql73EA4qioN/vk2UZSin6/f5BEGmffr/PZDJhY2OD0WhEmqas\nra3R6/XQWiOlpNFoMBgMvvL1VFRUPAfx7uvXr58F/g/gf7l58+b/9nnb37x58y+Bv3zkGBeAO1/1\nWhaacyw0H095hKn+zOYw4M3lV2hGTe7srjBJR8RFwZnOGeJizPUTV490hQvU9MWxM+nhnOBbp15l\nvvm4psq97irWTjtn6WD7q95OxTHg83SODrsKHHYZ8JQCzxJ4Ab7yEFIihZyuZ397jnQleFmlTr5I\ne/RV2yLpBwSzczA7h/qS2kduL0PAW1yi8yc/AsDmCaYosGWB9ANmf/in2O4mY6A2v0j97Bn8Wo3a\nqTNf6pwVFV8n02CDhFYHVw+wQuI328hagM4LdL9Hev8Ostag2N3GFCnOvPxBiGfZFv0+hFLUAsW7\nl5a5dmoWYxw/ubHO3Y0h7bpid2woSk271WCxU6M7ymjXQ2YaAY3IZ2uU4rQgUIpa4FELPQKluLzU\n5sOVXZxwpKVhd5TRjioNuIqvjhACpRRnlw5PiJ0/0eReN2aUFjRCRVHzQDh6kwwhPeabIRu9MYoI\n5TsMFmE1xoAxlqzUCAFFoZEChpNs6iRnLJnOwCkWhGA0UWgjKBFEYYhzgoV2hHwk6DrfCtkapCx1\nXuz27Gm3Rfti2JcuXaLV+vIZ8FmWURQF8/PzXLt2jTRNiaKIb3/72wfb3Lhxg8FgwOuvv461lkaj\nwRtvvMGtW7fo9Xq8++67NJvNKrBUUfE18azFu5eA/wD8dzdv3vzrZ3nuioqKiof5JrdHXrNBfW4B\nAB3HeLU6TipEGKLqNSoPk4oXFRl4+LOzSGOozbQp4hgzGYNpYOKYdDxG1RpYz6fY2aFMU6KZDno4\npJyd4L+EZXEvYlt0cq5JagTruxOakY/0FaPM0m7UKI1FCEFhLKWxDJMcq0s2+wJjHZ4vQSuW2hGL\nc02y0lA4QbPm4Q8l1jlaNZ+wEu6ueIpIKZlthrTqAQKB7yuy3FILfUJPUvdDBolGSEXge6gkxfN8\npJxmJEkhmGs0sDi0kSgl0KUj8CSeqpPkBZ7vszsu6bRCzsy3uLLc5rVzc1w8MfPYhNwoMRR6Wk73\novIs26J2u02n0/nS+6dpSrPZpNVqMTs7S7PZpFarMTs7nci3dtpO1et15ubmqNVqNJtNZmdnaTQa\nB4GoioqKr49nnbH0PwCzwL+7fv36v9tb9p/evHnzyaIxzwjnHKNsTKmnDX5cTMh0Ri8ekJU5o2xI\naXO01SR6wqRIGCZDuuPdx441KcZkOqOwlStcRcULzIvZHk2t+Q6XHe59PipxTI9H2CzFFRnYEt3t\nokdDXGWRW/GCIj2BqrXwFk+hg12Ec+gswTmL8hSyFtG48iq7Gxs4B/n2FsPf/or49m3m/vhHhHPz\nz/sWvm5eyLbo3s4Q5xzDVDNJS8rSkuQlzkF7NiBSCl8KpIDCSgZxTlFaHBYnHDvjDBX45FrjrEVJ\nj+X5BnlpmW+9uM5YFS8HQgiuLM+ytjsBoBn5WOvYr6y9tNDg47U+YQBGS5y1UydoIZFImvWQehSw\nOUgAi6c8hNMoJcmyAmMsaaE50azRDAOiUPLDV5fpNKIjs7xLM5UrGiXFM/oLfCleyLboy7DvsNVo\nNPD9KohdUfEseNYaS/8W+LfP8px/KFvjbX658tuD39eG24yzERJJ4PnsJkM2BpsURpOWOVmZkuYp\nm5PHS9g2xl2GyTStUqJe6HrqiorjyrNqjxyOcmebRFhMlqGiOkcaEjtHsbXB7k/+BumHh6JI5WhI\nurqCrD3I1sjW7pNurjL4xS9I11YRYhp/yjZ3CNp1TJqh6uFLr09T8c1CAMIJbBJTbq1jkgkmSXHO\nYZIJrl4nXbmD8iP0ZIhNYrQ/fYc654g/+gBef5Nw9uUJLr1ofSNtHZ+uDximGmMcgzwhzTVaG6SA\nMPTZHZX04mmQyaaKJE2QUqDNNFPAGEucFGTa0agpitwS+pJMW6QAz6sEvCuePpeXZ7i8/EDzyFrL\n7+7u4inB5ZMt/uPv1sk1XDg9w2gUstKdoEuNFAJjHKMkJy80pQHhLPXQw/MUyvNYmA1x1uEph5BQ\nlIaf39jgO5dOsDzXeOxa9sXuA+/FHRO8aG3R10EQVCW3FRXPihe3dXvGxMU0GF/3Gyw058jKEiEc\ny61lamGAkh6jdIgqS2ZrbWLls9Ra5NQR4t3aGpybzky0/Bbtl8dFq+IbgnNu2rm3DmMtxhiss0jn\nMM5gncM5i9sLcFjngP3tDcYYVBWQ+FpwRUG+20X6Ptn2FrXzlyi2N4mWD2seOWvIB3282XmkBZSc\nChoDFijzknBvkt/pkt4v30ePJ+S9XYrJBKEELi8p05RitwZeQL61PdWzmYpnPdsbr6g4gtrpsxQb\n9xFCEV64RLbbRe9sUY6GGB3gpIc1kI372NJgsgKcBumBEGS7PewHvyb8kz+vvtNPAW00oyRnZ+yz\nNNtgmBR4KYCj1BapJKW2GAtWW4xzCEq0cZRJTlgLMdqgnUMJiydgsVXH8yTGWOqRT5IVXF2u+kUV\nzx4pJd+69MA8Y6lTZ6OfstmNmW8HXDnZph/n9CYZvqdQUhEqidYa4aAdehR22sdyOCywMNsE69B7\n80VxcbSR2vkTLUJfUQuroVdFRcXLybFu3dYHm9zp3wccu3GP1f4mp9pLBIHHbrLL5ngHYzRKKlKd\nMUhHZEVGoVNyo+knA1aH648d1z5UwjIuYv7+zvtHnn9ntMv6aIvZWvvI9RUVXxQlFSDYHndZ628S\nlwlSODzlszXaxAs8/uaTv2djuM1u0iMpMwyOUPlsT3ZJioSfAc1ak++e/Tat6rv51Xm4os1abDLB\n6sMdT6NLyu0NAPyFOZqvfZtwfh5vL307W7uPLTRmPMLGMfFnnyC1xiQxpsiRvo9fr2GbAlefwRN7\nAUNtIQgJFxbwKy2BihcAr94g9yJsmiKkQEofIRVecwYrPLwwIlo+Re3cecpuF2M0/sIJ5t77AWJu\njsHPfoItXlyNkm86eVZirEMJeOfSIqW2/N+/uI0FtCkJlMI6SWkMYSDxkdQCD3C0wzqFdcjQY7kZ\ncu1km36qadQC5hshF5fa3Fgboo3mzOKX11apqPi6mG0GfLo+RBvDOC5ZXmww3wjZGedEUiGEQypJ\nLfLJS8O4dERKEAQKKT18Bdo4wGE+xzS3XQ+oB16VrVdR8RLzee7Z7lGpi0f2+UM+P7rs87Z7Ep9n\nCPVlONaBpbv9VQbxAIkiSTOyImeSJoQqpDvuM0kTmn6DUIVkZUmel2hjMNJinEFrQ1GaI48d+SGT\nMsGYjFE8OXKbSZqQFTkiktTDOqGq0jUrvhqhH3Jp7hzduMeuN6A0mrpfx1cBSvpgYZIlZGU+HRj4\nmtIUWGsojCYucu731hFK0k+HzITTWeV+MmJ7vE1cJtzZXTl0TotjdbDBuEgY5KPj3aj8PvZLYo9o\n9PWgT9br43RJsb2Dul7iihyNQ+9sU2xvYQa7TLY2IS+oNeuUcYwVAicVqtkiWJhHBjVa336bYvU+\nAOHJU8x/7/vP8i4rKp6MeDCgEs0WtVPnUK1ZkiJDa43SDulL8u0tbF5Q9PqQ5+juLt2//vfULl7A\nOodJMso0xq+/fELezwutDRamGjRy6hT6v//9J1ghcYCHwPcCaqEiyS2lMTSVwlOSdj2kq5k/AAAg\nAElEQVQg8CWzTY+8hKWZGmdPtDkzG/HTGzukeUkaTB3jZlsBgpDQrzJiK54/V5c6rOzEZKUFZym1\nxUmJcKCtxfN8rBNIJTBpgVaCQWYIo4BSG3CWzd0JUgkccHb+yW3SRys9/uHmJldPdfjR66ee3U1W\nVFQ8VfYdIDc3NxkOh0dus7m5yWQyQSlFEATcu3eP4XDIJ598Qq1WY3NzkziO2dnZOdhnMpkcuXyf\n1dVVkiTB931WVlbwvmCZ7cLCApcvX/5C+3wex34MKJD8+bUfcn+4zscbn/DGyVc5v3CaQTbk/mCD\n/+a9/5LZ5ix3dlf41eqvSYqSc50zTPIx109c4cqJC0ce1znH3376c4pC829e+9Mjt7nXXeN3mx/z\n6vJV0jJjpbf6FO+04rjw6qmrAERBxPZ4m+9dfJtG2OTm1m1iHRN6AYHn4SmJZJrq3QjrDLMR42yM\ntpq0SBkkQyJ/WoqVFimTPGWYDon8w6KrzkF30kN5iu3hDvOtaib6SPZmBkySPLbKjMcUvR44iNdW\nUb/4Z4SQqChApxnFYMDoww+nQSQlSDdKwpNLBPML2NEQv90hXDwBgJqZhfVVsA5vZuaxc1VUPC+i\nhQXCk6cokoSw0WTmrbdQfsDk2iuU6ZjBP/wcOx4hoga2LKYlnkVOvrONThKy3g7RiZPQaDH51S+o\nv/r6Y+dQzRZeWGXnHYXWhvV+SqENy50ajdp0Mmt1d8Lv7u1inePm1ohxqvlsawhICmvACgwWT1h8\n5SOxhALeODvPXKvO3Z0xSsJ//5+9xd99tMk4nYoTz7ca/Fc/bDNMikMzo7ONqShyRcXz5kffPgdK\nsroTc687wTqLrwRKAm46o18LJP1xTq0W0mkGJJkmSVO0VZTG4PmSuu8jJHQnOb+922V55sHztc8n\nWwMGk5QP7pZVYKmi4iWi1WqxsLDAaDTCmKMTTsqypCgKjDGP/WitKYoCrfWh/Z+0fJ+Hj1GW5cGy\nP4SiKNja2uLixYsHgbGvg2MXWNoXz7MPOSYdlQompUQJebBOSIFEIdAIIZBSIKV84n+Gc+5g/ZO2\nmR5DPJVUtIqKRzk3e4pJGfPu2bf4rHuXld4GTb/GyfYSPzj/Dr++/xE78S7zzQ5b412uLl7gZHOq\nRbA53uHO7n0uzC2z3F4+dNx7vTVy/SG5mTZqzlVuZEfhNZuAwO45Tz7s2ja++SEgQEHz2ivIKMQm\nKTrNQAqCxTlc4KPqNfxWB9Vu07z+Cp6z9H/1S5yUBAuLeJ1ZOleuEC0u4IymPrfwfG62ouIIpJTM\nf+/72CJH9/sHy5tnTpONRkyiGmWaEi1Mhbnz4YDxZ7dQuiSQAjEcIy5cJr57m7K/S7rbe+wcXrPO\nwo//ohKtP4LNYcoH96aznv1RnfeuL1GWmtubY4ZxjicgLwqkg2Gc43seoa+IS41AUgsCEAIpmWZs\nOEGjEdCc+DSiYNo3Uof7Oyc6DU50Hhcyrqh4EZBS8sevneI3n+0gJCgpiHzFp+sD6jVF5Hloz9Co\neQySnGbk4eMIgwBlQWqHKS2eDwa4uzlgux9zdr7Ne1cfaDlZ64iT6bu/1FUfyTnH2toaW1tbAMzM\nzHDy5FSztt/vs739uDHSo+R5Tr/fpyxLPM+j2+0SBAE3b94EpgPsnZ0d4jgmCAJ2dnYYj8fU63U2\nNzfp9/vcunWLMAzp9XpofbQ2VkXF5yGE4I033vi923z44Yfs7Ozw3nvv0Wg0ptq31vLKK68wPz9P\nGIacO3eOS5cuHeyzvb195PJ9PvjgA3Z3d/nud7+LlBLf9/ne9773B13z+++//1S+88cqsDTOJuym\nQ25sfYYxlnv9VdIiw/tEMcxHrA23mGQJn/bucL+/xiAd8bM771ML6uwmfdYHmyw05o+0/K6oeNGR\nUjJTb7E0s0Av6ROogMgP6dRaLHUWuJCdIQw9Ts+cpBaEvHLqCuc6pwHodNcoXcHlpUtcWbx46LhC\nSW7tfjq16a14MkIeZC2l9+4y+ejDA/2l4a9/hctighPLeNYgtMZkGTiL12hQbmxCnkNUY+a1NwhP\nnWH+ve/S/ev/F4Dmq6+x8IM/PjhVbabKGqv45qHCkMbb32Hmne9isgwx08HsbIHn4bdaICTh2fPk\n/T7+/Alq5w+3Ren9u5gkwzkDVIGlR9EPDWjzvcD2T25s8JtPp4O4U3NNtHHkxuIpST2adhEDX2Gs\nA63BgecpCm3ZGU7d4jwlWGzXUKrqHVV880gLzavn59mNC0prccYRBgpnwVOCeuiRFIZmFCKEYGam\nxlp3gnUOISShr/jzt8+xvjtme5CyM8mwHO4POecozHRZGFRtU57n3Llzh2ZzWjq4tbXF4uIiSinu\n3LnDaDT63GMURcFgMCDPc3zfZzQaIaVkY2OqV2mtZTKZUJYlm5ubjMdjsixjY2ODfr/PeDxmc3OT\nIAiI4xiYBrgqKiq+PMcmsCQQTIoEozXOgkLirMNqM51lQyGQ7BUHYYyl1Abppr9LJMoJWn6DxdY8\nk93x876lioo/mMeE3dxRUj/usWUPC8Ptr3v4WFW23Zcj394EFSCjGliDKS1lafA8D+splB8SzIcH\n2xshpoK6YUTrjW8RnT136HjqBbYvrqj4Iiilpj+NBuHSMngeXhDgpCIKQ+qnTqFXV2levsTMW28f\n2rccDTHDwXO68hefKPAIfY+81KRZya8+22Z1ZzqgOj1X51sX51nZHbLTTyi1Y3ExZBAXpHtt/mzD\nZ6zBEw5tHWlhkBTMNgP+9Vvn8FTVDlV8s/hkvc+nG0PmGj7aTr/nWVkCAuMcm4OMQO5rqEy/971x\nQVFYhJw6tloHUkjmZuoMsxImUB6RCWD0tESl0Jay1Pj+8X1e9qtGOp0OcRwfypyw1iKE4K233vq9\nfcw0TSnLkvn5eV555RWKoiCKIt566y3gQelRp9Ph+vXrFEVBs9nkzTff5NatW3S7Xd566y2iKGJj\nYwPP8752vZmKiuPG8WvVpOTV5cv82ZUfEt2NGMRD/uzqD7k3WCXygz2NpTPsJF1UX/HDy+8daCx9\nFES8tnQdVYlOVnyD+Md7v0IJj9u790CCRLEx2KKfDihNhup7/P3tf2Z9sM04mzDOJvSzIYUtuV27\nB0B31GNjvE1mClYH09kgJQXXFquX8Odh86mm0qP9I4dDBR56lFFbOkE5HtG8eInFH/0Y/xGdqt7P\nf8L4ww8J5uZoXb7y2Dl0nlMmCSqKvtZa6YqKF4Vyewc1O8Pg/fdJ7n6G12lSzS1/MZY6dZqRxzAu\n+GCly0Y/prQacPwnb5+n1Yj42w/X8f0YjGWmVSMrLYOsRGtLEfiUpUYKiecJap6g3QhpRAGL7drn\nnr+i4kUjUoqrS212hiluL4VYSIHvCazdC3JIAEFpNJ4R2LKkyAuslASBxyQr+fmNNWZbNZx9EDx6\nGGMsSTFdJ4XgHz7Z5o9fWUbK4z0512w2cc49lqEkhKDdbv/ewJLv+zQaDZrNJu12myiKqNVqtNtT\nN+P9QFOtVqPVahFFEfV6/WDbKIoOPo9GI8IwfOK5KiqeBffv36f/kEzAflbdftnno6ysrJCmKb/5\nzW9YWVkhDMMnCnj7vs+VK1eo1+tP7frhOAaWKiqOCWdmTjJIRujSoilJiwwhIS9yCqOxzlBaS5Zl\nZEWBKQ3aGrIyJ8sy8lpJrqaaAIXRaGsodUlelFhnsBjWR1t4wn/Od/piY/KpkK16pDytGPTBgYwi\nvHYbr1E/0IB7FD2ZZkjK8JEXwl6ntNzaZOev/j2yXmPhx//6CztDVFS8qMggxElQjQbGWNLuNuBw\nafa8L+0bR5qXfHx/QG40m4OUhcaDgVQ/zvh4fUR/UmCtA+sYTnJajZCdSYbyFI0oYBQXSCXwlCIM\nAjylaNUDhJhms1oLk1zTqFXvhYoXn7NL0yDEmcWSf7y1TV6WhMpjuVNnox8T+JKTs022+glDbXGe\nYabdZKOXYIRBCoFSiiQ3hH7xB0hlOIQQZLney/4+3oGliorjxs7ODpPJhPF4TJ7nDAYDms0m1lrS\nNGUyeeAkP5lMGAwGOOcOZfUppajVauR5Tp7nxHFMUUzHGvtlnQ+znyHY6/WqwFJFRcWXY7mzxHJn\n6aB0TQqBUPBnV37IjY1PWe1v0I7qXFo8x4+v/RG3tm6zPtzizMxJVocbvHnmtQONpZXuGh9sfswr\nJ69weeEC42zCTz/7p+d5e984hPfIQGtvQrP1xpuYrQ3ilZUn7/xQiWLe20W1WjitEQjChQXqJ09S\n9PvYOKEYDvDmK9HuipcDv1FHRhGy0YLxGBHVyTc3YE+vpIwnmEEfPHWwrOJodkY526MYHAwmOc3A\nn2on4bi3HbMzihlnBY5phuUkM1yfi5jEEaVxNCKPuU4Na6A0lrl2yLnFNkszER+vDfh0vcdmPybJ\nS5Y6NZpVcKniG0IU+vz4zdM457i/NeTm+oAzSx2WOnWyrKSWaVq5plH3ibOSZs1HOzBYhJNoa+hO\ncuqBjzaOD+52We40uX66cygrKfA9gkqLrKLi2LGfEXf37l0ANjY2iOOYmzdvsrLX/3eP6JGUZYm1\n9iB49DDtdpuZmRmUUnQ6HQaDAUopZmdnHzt3r9c7CDw9bY5tYMlai3UWbaZZGNoatHFooyl1icMh\nEZi93401OOem/xq7t21JuefwdBSOqpNb8fw5cDYUAiH2fhfTgYM4WC6A6XrEg2WP7vvw8Sr+MKwx\nOF1S9nex1jwuKWwt5WCI0yU2GZOvrVI2HtKJMYZ8ew0pHcXGfXZ/+hOU52G1weEIlpZpv/cD4o8+\nIL5371neWkXFU6dMY2Q8obV8BtHpUIwnlElK3u9ijaH/85+gkxwAnaf4tcMOZNZMdRRFVSJ64Nip\n9ga668OY3VGCQtAbp3y0OgBjkUIghQQMd3ZSupOCUhtGucYJRzNSaANq7z2y1GnwwcoudzbG7I4T\nQl9yslOn06rK4yq+WQgh8H0FztIb5XhC0Kp5pGlBXGQ4MRWzV0LiBXKvXA4W2hGTuGAwienHBVpb\n/j5Y5exC81CAtSg1QlRtUVmWaK0ZDofEcUySJGxvbyOlZDKZkGUZW1tbv7e/mWUZaZoyGo3Y2toi\nSRKMMQdOc2VZkqYpSim2t7eZTCYH6x/OCqmoeBZcvHiRMAwxZloSq7UmyzKcc/j+0ZMwWuuD7YMg\nAKblcWVZsru7e/Ds9Hq9A/H63d3dx44zHA6fmevhsQwsGWP429s/5/b2PUbZGCEgLmLWR1uMsxG3\nup9xt7vKMB3yk9vvUw8idpMB2+Mug3RM4HmsDjYYJgPu9J6cZWCdxVdVzW5FxXHGDPoUvQHxnTuQ\npVA7PNjKt9YZ37pB0RvgnGDw2w+QD9X65xurjG7ewKYJfns6E2H2XhCy3qD56mt4ey+cioqXDVda\nUJJwcY7OO9+n+0/vE9/8EFdYnNGYrGSvDgu3J467T7azzfCX/0w4P0vn3R88LnR2TInTgjTPGcQl\npbUEymNnlNEIPHqTjNxYbGHQgxipvGkavXH4kUecaSba0ah5vHZ2jksnO8y3I+SqxBiDkjDbrnNy\n5umm21dUPC1OdOpMMgPOEXqKQEoK65DSJ/AESzM1jNaMM43BIQS0opDQ9xBjiBNNnhes7IxI8vyR\nzL1pGxSF3rGdpEuS5MC5DTgo57lx4wZCCNbW1g70kR6mKAriOD4o69Fas7u7SxAErK+vs7Ozg5SS\nXq8HPHCFq9VqaK3Z3t7G9/0DHUql1BMH9BUVXzdKKc6ePXvwe71exznHmTNnuHjx4pH77Ozs8PHH\nH3P27NmDbVZWVrh79y7Xr19nZ2eHXq/Hu+++uxcU9/nud7976BhJkvDTn/706d3YIxzLwJI2Gqst\nOIhUjXbYwuGIZETDa9AKWnhC4Ry0ggb1oE5WFgTSo+HX8ZVHJCPqQZN22H7ieYQQnJ099QzvrKKi\n4kXDWQt7mQIY89h6W0yzHi0gO7M0rl1F1vfaFQflZARBiJOKuXe/z8Kf/phsbRXhKRrnL1Zi3RXH\ngnD5DEF7BulJHtMl8XwoH0/z1oMeJs9J1jdpW4tUlfGGtZZ73Qm7cY5i2nYIAYU2lMbiEGAtcZaD\n8GjWFcZZTs83mG1GrPUSQl/RCD3eu3KCMAzZGaYYYzl7okVp6iihqEfHsntZ8RLgnCMrNZ4SZKWm\nFkis2zPcEJKFdp2tfgx7QSXhIM4Mr5zr0AglvVEJWCa54R8+3uLPvx0Qeg/e076S/ODqiWMr3L2f\nOeGc48SJEyRJQhzHXLhwASEEaZqSZRkXLlw4tN/9+/cZjx84cu/rzuxrSpZleUhfUkpJu93m5MmT\nLC8vMxwOCYKAdruNc452u0232wU4Uhi5ouJp4/s+eZ4/MYMuSZIDl8T9QGsYhgRBcJDxpLVmMpns\nuXe7Q8dqNpvPXJT+WL/5O80ODa/GDy+/x73BKs5NpXMLCqSSBL5HYQs8PCI/4OLCuQNXOCHh+omr\nXDlx4XnfRkVFxQuOE+5zt1G1gMDzkM4gdU7y2a1p2c/mfYQxNC5conHhAkG9TnD12jO46oqK58vD\nM/r7pWz7y6x5chl6xZPZL9C31uErqPsenifxfcGwW1CWBhzUw4BGPUAKSeBJSgHjfC/wJAVB6HFr\nc8Ig2WUc59zdHrE0W6fdjB7Tiaio+CYhhODsQoP1fkygJBcWGnx4v4cAWo/qhjkwQOkMzk33lQqU\nUAS+QhtLWmhC70FWsa8Uvn+sh1/AdNC7vLzMeDxmNBpx7tw5lFJ0u12SJOH8+fOH3gFFUWCM4eLF\ni7RaLdI05V/+5V+Ym5vj2rVrvP/++4RhyNtvv32wj5SSTqeD1pr79++zu7t74EA3Ho9ZW1s7dE2P\nZklVVDwt9r9rg8GAwWBw5DZxHLO9vY3WmmvXrh1MJBdFwUcffXRQNnrr1i1WV1dRSh16/0ZRxOuv\nv/70b+YhqpbtIQqTkxYpSknyMicrSrQx6NKihE8zCDnZXmQn7T3vS62oqHhJcGWJThLK8YTx3U9x\nWISQZJsbiMDHJCnOgTczQ3jqcAZkGU9w5XSA7dLkeVx+RcWXwzlsEqPa/hNL1LxGAxHVkJ7C2+uE\nee021jpMmk7FTSq+PEKg9jqqJ+darPVjKARSCTCOhqeYlJZMG8JUEtZ9Mm0QziGaEbc3BwgB2jry\nQjMa59QDj7l6SKdZDdAqvrmcmW/hUFw9M8u3Ly/w23s9kqxgdmZayu4pgd1LQM6ygt4gxp6eJc0N\nSgqK0tGIpu3aIC7o1B8EloxzaG3wvCqDMs/zA5esjz/+GCklW1tb5HnORx99dCiwtLGxQbfbpV6v\nE8cxZVkeZHtsbm4e6NVsbm4eOsf6+jrWWra2tiiKgrm5uceyoQBqtRoLC5XxScWzod1u89prrx3p\n4rZPr9dja2vrQGdpn4d1l2q1GmfOnGEwGOD7PufPnwemJXN5nj/ziZ4qsPQQds966WxnmUkRc7+/\nzp9e+T6zzUcU1tPncHEVFV8DWZHxj/d+yVp/i0E6wpiCtWHAP6/8mtX+FqNsRJKn9LMBTsBqf1oH\n3x3tsjrawFhHd9JnofG460DFF6fs75Ku3psKe+c52jqKrCBot9C6RKmQ+pVrqKjO0n/+XxA2HggT\n590dej//2WMvDeFVzXrFi42zU+H5nb/9G/xWExUGFGlKunoPlwwx2TRImvX6SAnCWUa//TXZ/XvE\n9+6i0wl6pBj+4ueUox7e7InnfEfffC4tNrm7VWO7l1IaRy0I6MyEDLbGUBrSXNKKDI3IJ/IU842I\nJNUEgSAKfISQB/HB715fOrb6MRUvB/d2xkgp0cbQqke8cW6OzX7MbCMiLwxhMM30y/ISz/fIjaM/\nyZlrhqz3FaUpcUBhLHl5WDQ3LzX/9Ok2P7h28tiWw+0zGAzodrsHASYhBP1+n7Is2dnZObTtaDQ6\nEPlOkoSyLBmNRpRlie/7DIdDPM+j0Wg8dh7nHHEc4/s+CwsLRwaWKiqeNSdO/P6+S6PR4MMPP2Q0\nGvHxxx8jhGBzc5Ner3dQBup5HmmaorVGKUWaToMUg8GAsiy5ceMGvV4P5xz37t07yNhbXV2l2Wx+\n7fdUjUAqKo4JJ2dOsNJbYxCPGGdjSpuTGY9RFjOIRyRZTFpkjFTMKItpJGOkm85mj7IxaZExzsco\nKUjzKjvm68CkD6LUQvp4MzPMvvd9ork5bJohmk1a11+ldu7ioaASgJ6Mcc4haiHB/PTlFHRmqc10\nnuk9VFR8UaLTZ5gkCThHGceUcYzJMsrRBCEVojnVu8gHQ3Sc4jxFOR5iHRSjMU5bTGnIdoeU3V28\nzuJzvqNvNtpYjHWU2jLVr3IIBa8utRlOSmJVIqREegK/dCy1I66f7bA5ePAeCH2PdiMg9D1UpWVV\n8Q1HKXCOPXdEuLQ8Q+d2lzD0GExSJulUgwklCFDM1EOcdcy16wSeB5Q451jtjWhEAVeXZ/aOPJ0I\nitNyb1LoeAeW9oW42+023/nOd1BKIaUkTVPeeeedQwHqTz/9lO3tbV5//XVmZmYOBtNzc3O8+uqr\nB4Lf77zzzmPnMcZQliXNZvOZlwZVVHxZ2u02Sim01geB1n6/f/DdF0IQBMGBQ1xZlmxvbwPTUs99\ngfs0TRFCHASbACaTCUXxuDblV6UKLFVUHBPeOHWdV05cBuCjjU9Y72/RiupcWDjHj6/+gE+277A+\n3Ob0zAlWh5u8eeZVzs2cBmBld53fbd7gyuJ57vRWsZWGxlNB+iHt117Bj+rEZ84SLC2x8P0/OnJb\nPZiW5DavvELr0uVneZkVFV+J9pVrtC5fBcDupXRnoxFIj8aZ08y8M3U1mayuUk5ifE8y//0/ITx7\nnuGvf0167y6q0UCb8nPTvJ21oEucMdPRYsUhHFPBz9vdmEF8OG2+1a4z30rwPYW1lu+cX+CTzRHt\nRsA7V5bojVOywuB7El8KSusI1PEeKFe8HJxfnOHuzoTSGOLs8ODLOCi0RkqJ3BPAH6UF64OEzBmy\nQiMQ2L1HqTfJDp6rwPeqZ+QIwjA8KGtL0/QgM+nhwNJoNCKO44MMp6IoqNVqNBoNms0mtVqNWq12\nZBaG1powDKnValU2ZcU3hiiKuHr1KuPxmO985ztIKVldXeXmzZtYawnDEM/z+Na3vnXw+77GmO/7\npGnK66+/TpIkGGO4evUqp/YkNe7fv/9UyuSqwFJFxTFi3zFDSTmdgRYSTyk8z5t2kqRASYWSCk+q\ng5lnpabrbu/eZ22wjic9SlsyycdYC8N0hLFQmBJDie95SCn4rHeP2foMr568Wr3Mn4ArclyWooTF\nZRMmv3gfIRXZ/TuYQY9emR+5X9YbgBCEp04/4yuuqPjq7LcHar9N8jyUp6b/KjXV/9n7LBTgTdsj\n4UkQknJ3h8kvf4H0FNnKHTCaMkkwUY3hP/yM5ptv4YwhufMptiyZ3PgdM2++/UQ9p+OCAIyxOKa6\nSBMDjdBjkhZYY4mCAGMt2hp+eXuXYaoptSGQgp1JTmkMeq8vOteqHRx3tlVje5ggROVSWfHNRwhB\nI1BY6/hkY8Rc3dtPNqJdiwg8j3GWo6TATE2mOdEKGcYlhbZY6yiNI8sMk+AIx0prKY1Bqep5gWmp\n2q1bt9Ba0+v1yLKMlZWVQ/3Gfr/PYDDg/v37h4JHT6Ocp6LiRWE/K6nZbCKlpFarHbjCBUGA53k0\nm02iKML3/YPnIYoijDE0Go2DsV+9Xj9Y/7TGZFVgqaLiGLM/CPine7/i/u4Go2zC+nCdUZHQTwc0\nwmn5lS4L1sdblMbQjwdIJbHGsj3ZQRgYxGOkhFCF5MojLTI8qZgkE+72Vri8cJ7Qf7aWly8kAmyZ\nYwZ9bJJh8wzd76GzgjzJ8D2PfDRCKI8iTjFSoYbjo4+lFOHSSYLKxaTiJSJZXcMkExpvfHu6YK/v\nM/rNr8lW7lKMRiCnZSo6myCUh+t1wTiK0YhCOnSeM/zoI1S9jt1P+75zGzMa0v7eD/H84AlnPwbY\nqXjwXCNkZ5ijkGjr8KVEKckkS3CArwSbvYS80HieRHiSrJhqxdS9xwfDp+caDCc5l060nvENVVR8\n/QigGXnc3R5zd3tMXpR0JymdUcSF+RafBIph4lB7OkwSwcmFFjNpwe44pdQG6xy5tiT5YQfLWujj\nnKM7zjkz7x99AS85+w5v9iEDBmMMSimWl5dJkoTXX3+dfr/P6uoq1lq01mitD8raYOr6trGxwcbG\nBtbaA9esioqK50MVWKqoOMa0ag18FVIWBpxEW81gNCQtM0ypCR4OBjmBMwJrLDiBtQ5nBVFQo1Yk\nGBztqMGJ9gK3t+7jCUXk1Srr6YcweY7u7uJKjc5yXFniTIFzFhlFqNl5Fv7VXyC8AGcd/tISC9//\n4ROPV2mZVLwshK0WwdISxc42WW+At76GnJkjaLexWmMRZN0e2cY6TheAw1qQnkDVGogwxFhD0OmA\nE5RJArU6eD7OAgiy3T6N0Qhv/vg6/zg51UMSAurBdPDre4I4LUgKg7MO4xzCgsRSDz3qkYenBPUw\nIPQVV049bt5war7J8lyjykyt+MajlOL0XIP1viMYpUwKwzBOyUsYpwVeoFierbMxiDHGUQun+mLv\nXj1J3YP1fkzRHeM9QZg72gvMHueuUZqmKKUOBZZgmlHhnENKyeLiIt1uF6UUvu8TRRFBEBzKunh0\n3zNnzjyrW6ioqDiCKrBUUXGMaQYN/uKVPwGmqcgbw20+7d7lbvc+15cvcbJ52LGg1CU/v/MrIuUx\nKVMMhtmoQ2YyJukE9kvp1N6PlNVA4yGcdaCAMEJGDVye4dIUZwS+MUgl90p/FFI9+DtWVLzsCCFY\n+P4PiTc2GL7/D9NRl3OoKGT22rdpXH+VZHML8ZtfMelu49wYpEQ1aoSnz+FHIUopaqfPIOt1yAvq\nly8zvnEDgOjMObLVled8ly8WUgpmaiE4R5wViD3tbl2WnJhvsdSpk5WOeuSRFHvI5jIAACAASURB\nVCVSQKcdUY+OzrKo2vqKl4VvXVrkTTcNQG8PJvw/v7zHhysDAKyzaAeRp7BM+zx5aRiNE5bOzBP6\niodjRrJ6Lr4yb7/9NhsbG6yvr/PWW2/R6VQmJRUVLyJVYKmi4pizPxgQQnB69iRJmTLJx5zqnORc\n57B+T1EW3OreIVIBQTZmJ+kfc0+TL4ffbCH8EJvGaCFwRXEgYlxRcZwRe7P88We30fmHZKv3scmE\ndG0VgGxjDZEkCK0RUiAKRdndpsgLykEPTEl08RpVOPZx8kIzSkuMcwcDX+EEYc1DOIv0phMBvu9T\nC31m6hEkU423amxccdzY7xt5ygMhKI1hmBT83YcbbO0mZLnBDwQOyzi1/N2NNTYGGVv9hHGm8YQh\n9D0atWNceltRUXGsqAJLFRUVR6K1JiuzQ8vKsjze+dtfkHxjFZslwOG/WdHrIoSCIMAlY8xohFNU\nwrcVx55gfgF/foFyPEbHE6x1WGsoS42zGlMaHFBOxkjPRwUhxmiss1hr0HGCTceoWiXo+igruzHb\nuxN6k2mwyFpHmpVMioLIkw/cPp0jLQydZkBuLBaoVe1+xTFlthnSqQd4SmFKS2EcxmjAgRBMq7ks\nG72MM3MlygOjLcKTODjQJqt4MsYYiqIgTVOcc+R5Tr/fP7BQHwwGhz5/UYkFa20ly1BR8Qw4loEl\nbS1xMSEvc4zSrA836U16JEVMXhR0J31ynX3+gSoqXkL27XM/3rzFja1PDq0rtKaX9DnfqerYPxfn\nGH3wW3SSwCEZAYctNa7MkKM+Wj8Q9lSNSvi24njjeR6Lf/wjACarq4x++T7t69cxkwnJ2vpUG+jM\nGbxaDZunBAvztN98C5MmjD/6AGcMNkmgCiw9RlFOs5WknFqhG+sohUU6QVxoSuPAQV5q8kKDhblm\nyPrumCDwKLRBiCr7ouJ4IaXkx2+eYbUb06gH5KWlFSpKo+nHJRaB1iXtKOAv3joHzrLajfemk6bP\n2sOMi5LeOOeVU1U5F0yDSpubm4RhSBiGOOcoigLf99na2iJJEqy1jMdjxuMxxhiiL2lasu+OVVFR\n8XR4OZ8w54gCn8xkSKbuDr4QgEM6w8dbN8jKAodDIOjGuxS2JM4TpIVPlQThkEJirSEp4kOHT4uj\n7b8rKl4Gzs4uM8pGZOawRa5zjq3RDklRBV3/UMrJCJMXiD2dJOcgaHUITp8mvX0bXZYHrldEDWqL\ni8/vYisqXlBMkpD3ujgczpZkG5u4MsOLaod0fUStjpuMcbr8PUc7vvQmBb1xTqENpXWEnoexFu0E\nRu9Hvx0Oi9UWKyxppolzje8p6pGHRLDQqhw+K44XQghOzNZQQlIoS9EI6I00Uk6zk4x17AwSPt0Y\nsTPIEHsjDOcM1j0+1JrkBYOkOOJMxw+zJwMgpaTVmk6u5XnOqVOnKMsSKSUnT57E96dueidOnDhS\nvPvzUEpx8uTJr/XaKypeBFZWVhgOhyiluHv3Lu12+7ldy0sZWMptQV6WDJMRkzLDUzBOEkQmKUzJ\nbjqcjvCERACDdITYG93Vgois1GRlijGGn935FZ46WlzAly/ln6/imBP4AW+fe/Ox5c45/s/f/Ifn\ncEXfXEycTD/4Pt7CIvbebZyvEHkGZYY0BoMDX+LXImQl1F1RcUC4uAhKknd3pll/YUi0fJZsYwNX\nWoqsjzczc7C9EAIHmEKTbazjH2P3t6Mo9xyYfAlaO+YaHpm1dAcZQgqsAZQgDHwCX3F2sc04KRhn\nmmYjoBH5XD/dYab55bIFKiq+yTSigKVOk0xrNocxUkyfGbFncZ+bkk83+myP4r0xxdS5cjBK2RlN\nAPCl5Px8k/6omqB7lJmZGU6dOoVzjiRJuHr1KlprfN/n0qVL1Go1pJRcunSpEu+uqADG4zFCCAaD\nAevr60gpybIMpRStVgspn728xksaGXGAI5Ah0oExewmpTqBLTShDPOEx22jhSZ+rJy7iSUWgAmbq\nLWphjVtbnzHOJiy15lHq8T9TzY843aki3xUVFZ+PCiKa585TrNwlaNTJB33K8QRnNSIIkMJDVSna\nFRWH8MMQGYboJAVANVvUTi5T9HYYf/g7rHY4AeHyaZLbnxwM8IqdbZw1+PUI6lV56cM4/n/27jRG\nsiw77Pv/3vuW2HKtfenu6p7ujpkmZ3o4M+ZoRqIkQrYIgxRs2ZYM+4MN2oYlGDAMwoC/GDBb8vJB\ngmETMAzDpARb8ALJMETANjUwDXJoihx6uAyHvQZ7qrq6tsyq3GN78ZZ7rz+8yKzMquqqrOqIjCXP\nD8jujMjMiJMJvFPvnXfuuXBxpYZXmq9+4SK/9vvXsdahPTiv8M6BV1w5V+fls4tsdRI+vLN78PP1\niuQpcfqY4aYC93e7eO9x+HKjgWHHpNGGShjx5ZdW6fYG3N7s0c8LHJZOUvBHN3YOXksG4QshPg9j\nDEopGo0G3W4X5xxueONoa2sLrTWNRoMwDE98t9a5PUNweOpxjW5WIfcFLrecXz7DRnuby8vniIOY\nl1au0Ihq/OUv/oXH1t1aZ9nu7fD1l75CGD55a10hhHheedKn2N2jGAwwWkMEerGBjmR2iRCParz1\nNoPbnwJQe+Ua6f01gkqV+OxZ8m6HxptfZOnNN+nf+JiwXsfu7aLjCPIcFVeQca1PFgWaD+9skucO\nYwzePxxuq4b/aSeypFAIgEY15o1Ly/xobQ8UVMOATneA1h6jDJFR1CoBF1frnFmqY3TZs6QoC0k7\nHelQEkKMRhRFXLt2jVqtdvBcrVY7qFf0+32++MUvsrS0dOJD6+e2sCSEENNIxzFuOAPGe49WIeHS\nGchldpsQj2pcuUzjyuWDx+n9NaBc9qa0xm7cxxb7uy6VHUsqitGNReILlxhsbp50yFPNA51BQdrN\n6CY53SQjCMstG4phd3cYlEtyu/2MOBou85GdrcQp9+aVFdq9lPvthMiUx4VXhtAoIqMJw4A/uLHB\n2m6PSqToZQppThJCjEOlUuH8+fMHj6vVKmEYEkURSinOnTtHEAT0er2nvMrozXlh6elVOo/H+4cf\nQggxbsoYGF7AeetBlZfDzvmDId9CiOMZbO1Q7G4fec4VlmLrLvmrr0woqullHey0B3gNWeEYFI6K\nckRRjDEWrQ1umJ+2egOiRFNYy/6ohiiQHCVOr/05iLVK2RmQZpZqLaQWRyjKzqT7210G6f51hZKu\nSSHEyN28eZONjY2Dx/fu3SMarnxI05QPPvgApRT9fp/t7W2899y4cYOdnXJZbrfbPdLxNCpzXFjy\n7PW26aY9tFZktqCf9kltyl7SJgxCFBCYiN+6/nsEj1zQ9dIeCn3iaxOFEPPN9bowHDLsipyoUceE\nAY4YE8tuS0Iclx/OFOh98B6200FHAbpSp+h1yXsJg9u3CM9fmXCU08V7P8w/Hm8dOAcqJM+LcmYM\n6mAGjHWOTlZwplGhVgl46+oqKwvVicYvxCS9cbHcbenySo3rd7bxriDNNY0qnF2q4fHs9NL95klA\nE4aGcytVuuudicUthJhd1lo++ugjlFIkScLu7u5jDTHb29uEYUhRFFhruX79OlAWmXZ2dgiCgHv3\n7rG1tQVAu90eS6xzW1iyeDJb4PzD3bydK/DOY71H5x4bW6AgzXKscUd+PlARFxbPPDZ7SQghPg+X\nl8vglDYo46msnAHvkaZ5IZ4tPHMWVYnx6OGHYrC7S7b1gOjMWerXrtG5+SPYgrzbIzz/7Nc8bYw2\naCzl1BdFPdIMcn+QgRRwqVHh7ZfPlI+14sJyVc6HxKm3UI/52hfOAfCDj9e5t5vivWeQ52x3Eooi\nZ5A7PKCVLjezDAOWKzKrVQjx/JaXl+n1ejx48ODguaWlJYri6PL03d1dlFIEQUBRFNTr9YPHlUoF\n7z1RFNFoNPDek6bpwcDvUZrzswRFI65hseANjeoiSV6wWlt6ZHj3n5cTJiHEiVK63EFdGYOu1WFM\ndw+EmCeNl14mOnOWjejX6X30EfU3mmXXzaETJCnSHk/uobAFe4kj0BGBUYRArhSVSsjV84uTDlGI\nqfXyhSV+eGubOAzxDga5I1A5eWHLHRYPfa+TcRtCiBfwxhtvcPny5WeO7Pnd3/1dwjAkjmO63S7f\n/OY3McbQ7/dJkgRrLW+99RZXr17l448/Hlu8+tnfMnrNZvObzWbzu5N4byGE2DeRXOQ9Pk9x6XCA\nN574woUTDUGIWRbVagRxBfDoKGRe6kjjzEdZltMfFOA9aZYzyCyDNKfTS+n1LMkgx+HJnUcpuLPd\nk9mTQjxFIwoxSpNkOZ0kp91L2OsXDDJLmuUHS3VnkVynCTE96vU6jUbjqR+1Wo1arUa1WiWO44Of\nqdfrxHF80K3UaDSoVse3pP3EC0vNZvM/An4FqJz0ewshxL6TzkVKK1RgIE3J+33soFyIEiwtI6Pc\nhHg+ygRYW1BsPXj2N8+AceejO1t92r2MwhZ45cmsJw4MC/UYozzKe6z1xFqh0RTeYe3sXhgLMW5f\nefUMtTjAoDDG89K5BtVQEUcarXS5MYd/eJk1K2VauU4TQryoSXQsXQf+pQm8rxBiRLz3OOfw3uEO\nnS55YIZucp94LtKVhzsw5GkGcUj9Fdm5SojnVXn1VQBst493gPPgyw5AjuQkP3xu6o01HxXe4b2n\nEhmCIEApCALDYr3KG1dXWFqMCVBUqhFhqMu/qRDiM2mtWVmosLgQUw1CXjq7QBgEBEajh2dGXnm8\n87STAuc8UTiRhSLPS67ThBAv5MQHC7Varf+92WxeO+73N5vNd4BfHFtAQohjUwoGxYA/3fwRvWxA\nUgzoDvq0kw6ZzSBRGGXI8oxAa/Iim3TIn2nSuagoHCaKkHYlIZ5f9dIVQJG3O6TtPezuDnm/iwlj\n8t1NbNIl29osCyRKESwuTTrkp3qefPR5cpE+nG48DNKMjT1H5hRRWHZeaKvYbaeyFE6IY3i0VBQG\nAbtZgg4DdKCwOHaScul7LZz+Id4nlYuEEPNn6idWt1qtd4B3Dj83THifTCAcIU4tpRSvrFzlxtZt\nvFN4D5nNMX6Axw07BsoLEec9DsfATm9h6XmNPhcpvPX0PmwRX7ooBSYhnkMYx8Qrq9hBD5/lFHmO\n22sTV6MyDXnwKJy14B3FzjbKTP0pz7G8aC7qpDm9pMAMNysphnlaKQXeoTAYpVAKcmex1jED18FC\nTJVBmpM7T+RBGY23lt1uQpZbtnsJ51fmZ4WZXKMJIQ6bj7MsIcSJ+NKlN7jTXmchrrPb2+XjrU/I\nigJQhGHMUm2BC4tnaMkui8/kvccOEpLtbSqvXCNYWp50SELMlMrVlzChwXtF+8MPSR6sk+/10LHB\n1BrEZ84QXbhEcvvWpEOdOGs9SZaT5JbFYX7WQKANodGkRbl0R2l1tKtJCPFU+fCmWpJZrHN4D956\nvIeiKJ+7t5NggE7f89ol+bdeCDE+3nvu3LmD1pp+v0+n0wFgfX0d5xw7Oztj60ieicW+QojpEgUR\nP/nK1zjfOM9qdX+JiSybOBalMEZRO79CtLBIsLjAxZ/556mcOTPpyISYOUopVr7157j4c3+F2mtf\nwCtmatDbSbHO4azHeajEZWcSQOEsMk5JiOdnjCYypiwiacX6do/YaM4uRnhV7q64P3cyTbK52b1S\nCDG99nd8u3nzJjdu3ODmzZu02206nQ53797lxo0b3Llzh2BMDQATaStotVo3gT8zifcWQozGcn2R\n1foSZoZvb59ILjp0jesKS9rpAhoThajh7Bcly+CEeGFxvU782uvgYG1zg3xn4+EXZ6jGNM58tN3N\n8B6U99SigD2To135xzlIPzP0txJi0pRSnF2scr+dEKCweUG1ErOyUGOh0iX15eBuxcMCk5uRY0yu\n04SYTW+++Sarq6s4V94y6vf77OzskGUZr7zyCkopNjY2xnbdIetVhBCfiy+n46Kl//FxzuPzFJf1\nyodZHztIHn65UqEhu8IJMVL+4OrNM1i7S9HelS4mVNm15Mo2eTNsn/BHv+VAr5/xe6114jhEobh2\nvsHF1caJRizENFMKTACDzNJLM9qDgmqY0k0LMqtw3pWz3rwnt47d3gCcw1o76dCFEHNKa8358+cP\nHvd6PWq1GlEUcfbs2bFvyiGFJSHEC9FKo1C0Bz2SbEA8nPKqpfvmgMfhrMP1M3AOl2Z4hncwtSYa\ntqwKIT4/s7gAgC8soMs5ZkmCHeSnvrDkvcPjQXl2E4v1oPWwljT82xw0LnlPf5Cz20sJ8/IiOLdW\nCktCHGKM4auvnuPT9TZ/ei8hLwryVOMA63NAY70DBdZ5QDFILeub7QlHLoQQ4yE9BkKIFxKFEW+e\n/wKNsA5AZgsAqqEUSw581sVsEFI5s4qWIedCjEy0sjrswJGpQc/ivRuugStnvlF+CpRLfKrx0e3g\nzi7Mz05WQozKm1dW+dmfvMallRpnFyosNEKqcchiFBNoRVFY8FCNg3K3XO9Zb6eTDlsIIcZCrmqE\nEC/s9fPX2O3u8sdr7x20V0rD0kMufbjsrdjexmdyQimEmDRfznxxHo9Hq/Ieo/eQDCwoQxyHfPHS\nInEcoZXiyjnpVhLiUQ92e3zyoMv5lTprOz1wlsBoFlcj7m71UEaR547IBCSUN9/CGZ5LKYQQTzOX\nhSXnytbtzFmSPCEINIebs8a9vlAIIQDwDzsn0gd3sYMBynlUqNHhXKZfIcSU8h7wYK1Da0hzz2I1\nYqESsdcrDr6mjKbTS/horU0YlXlqozPgG29enOwvIMSUqccBZxpVPlEdtNbU4oDCOapRiDaKwnmq\nUYhSHifT8YUQc24ur2xyV+CdJ7UpDotSmsAoQq0JtMF70F6zEC/gvQzRE0KMl/eOIs0xypM5R1it\nEcQVfCFLdoQQJ8CDG95UK+zDnaps4Wn3M7QuZy6dXYzJncLbo0vfGtXo5GMWYsrVqzE/+eZ5trsJ\nWVbw2oVFellK88oq93e6bPcLBnlOwwU4PNZ72knGysJcXn4JIU65uc5sUVCloioULh82DmhqcY2X\nV69yprbMYrXGXr8z6TCFmAtGG0BJR+ATODzZg3WKfr8sdJ89RxAH5EXy7B8WQjwXbx06VKd+YPdh\nh/OyA8zwE+cVg7zAA2EQcna5wUYnZaUe889+5SqVSllQCgIzibCFmHpaa+qViEocEoaGy40Fvnzt\nHP/Dr3948D2Fc4c+zycRphBCjN1cD++OjOFMbRGFRgGxCakHMVprlAyCEWIkAl1ecHQHPbb7ezzo\nbk44ouljlMJmeTkwN4iIGjKvRIhR01rjlcJllqLbwQ36kw5pajnvURqWFmLOLjfQqrwpcPikMAjM\nwYcQ4unC4WFSjSLy4mhRW6HYXwmn5vvSSwhxis11dvN4VhZWqMUVanGVqyuXqFZqkw5LiLny8soV\nDBrnygEeaVFI4fYRB80CJsDE8URjEWJeKaWoXn4JqwHvKXp9kLkmj/Gu/KsoBYGGKNSARylYqsXy\nJxPiBVw5s8BXXjnDN14/+9jX0sJihutPvexaKYSYU3NdWMpdzoP2Fr20T3vQ487OHQCMkrtvQoxK\nGIY0Kg0qUYySC5InUsGhVcdSdBNibKKlReKFRazXeGfLwUGC3BYHn7vh7lQKyJ0lzR0mUFQig9KQ\nFRaUpCohnocxmstnGgTDf++PHD/eo2U3OCHEnJvPMy4FSitCFRIajdYBgdGEukI9qHG+cWbSEQoh\nThEVBZh6Ax1X0FE46XCEOAWkyn3YYH+jAO9RaAKlMFqh0EShRqNQKAZ5uaHJYj3GGLkJJ8RxDdKc\n+3t9kjTn3k4XAFd4wuBoQck6ZP6bEGIuze3wboNmtb7AamOZJBtQuIirqxephnWqcYW0SCcdohDi\ntFAQLi3jshyXDiYdjRDilOmnDwcGG61BO8LAsBBHLFVjNnWCd54szbHWytgAIZ7DjbVdtrspN+63\nuXZ2gRsP9hhkZWeg0SEH2zAqKCwkuRSWhBDzZz47loQQQgghBMBwZ1xAKUKjiIYDuXUEJnh4KrjZ\nHmAdLEURxsgpohDHMcgLwPP6lRWunG3w9qvniUMNKJIsJ9ifEyD1JCHEHJvbjiUhhBBCCHGUVqCU\nBhwuh9honLNkBTjlMRreuLwsmzAIcUxaK8Iw4Ge+cpUoKi+t/rB1j/fu7BJojefhsRTIYSWEGDGl\nFEmS8P3vf//I80mSsL6+jtaa999/H+ccm5ubWGvxY1iSK7ejhBBCCCHmWGaPPt4/nRzkOdvtPrkt\nsNbRH1icc9za6px4jELMkyAICI6UlEpOupaEECN25coVgiAgy7LHPpxzFEVBmqbkeU6e5zg3nt0p\npWNJCCGEEGKOFYd2hQMOKkv3d/psdlIiY1hoxFSqEXvtAYPUURSWIJAB3kIch3OeP/pki3ol4EtX\nlokOLTE1RmNdWd2147meE0KcYteuXePatWuPPd/r9ej3+xRFwde+9jW892xsbLC7uzuWOI5VWGo2\nmyvA3wG+APw14O8C/2Gr1doZS1RCCPEEkouEENNg1nJRLTp6umeAKNBkhSN0nrheGT6vCGU3OCGe\ny1IlJskSttp9tjpwaaV+ZJySY3/5KYQjPrxmLRcJIU5eu93mgw8+IAzDsSyB23fcjqVfBv5v4CeB\nDrAG/E/Az44pLiGEeBLJRUKIaTBTuejRJgmlFQGG5XrIQmhIlUY7T2QUYShTEoR4HpfONmjUIy4t\nV1nbS3DOs1SPsc7hcs8gNVQCjVKgRn94TWUu+tGPfkSn8/iS2gcPHmBtueR2Z0dqX0KMU71eZ2lp\nia2tLZIkIUmSsRaWjpveXm21Wv894FqtVtZqtf5j4OrYohJCiCeTXCSEmAYzlYuS9JGlcBqs80Qm\nYGGpzpUzdb7ZvMTVsw0Z2i3ECwgDQ3ioHenl8w2qUYj3rryQG1+9dipz0ebmJvfv33/so9vtkuf5\nwbwXrTVGuiSFGJvXX3+d1157jQsXLoz9vY7bsVQ0m80lhqvym83mGzx+A0wIIcZNcpEQYhrMVC46\nuEE5rBlZ60mLAucc3bQgy91wtzgpKgkxCl+6snLowCv/r5TC+ZEfY1OZi7785S9z+fLlx55/9913\nuX79OgCvvfYae3t73L59+6TDE0KMwXELS78IfBd4udls/irwLeDfGldQQgjxGSQXCSGmwUznIju8\n3g2C8jTQI1tVCTFKH959uMxLK43SGqMUevRr4aYyF9XrdRYWFh57Poqigy6ler1Ot9udQHRCiHE4\nVmGp1Wp9p9ls/gHwTcqZj3+j1WrdH2tkQgjxCMlFQohpMC+5qLo/9+WgiUI6loQYhTQtm4b2j6iK\n0WhAj3hN3LzkokcdngMzzpkwQojReWphqdls/ief8aWvNptNWq3W3x5DTEIIcYTkIiHENJjVXHRk\nh6rhuBfnPDv9lEoUYQLF9QdttB5e9Ep9SYjP79DSUgsjPa5mNRcdtr6+ztraGnt7e+R5jrUW7z1Z\nlvH973//YCaT1hrnykLdQY4SQkydZx2davjxTeBfplyzm1HuNPBj4w1NCCEOzEcuchMfeyCE+Hxm\nMhfZ4mFpyXpPqMHjKApLP8tJ+imDzGIUGKWoV447KUEIcRz7R+AIzwJmMhftU0qxvb19UFDaH+id\nZdmR5/Yfh2HI2bNnn7i8TggxHZ565tBqtf4WQLPZ/B3gW61Wqz98/F8Dvzn+8IQQYn5ykS9yAHSl\ngs8HE45GCPG8ZjUXFc4+fOBBa0Utjgm1waGoBJ4Ly1WW6jFZ4Ykjg9bStiTEqOxfcOV2NKWlWc1F\njwqCgNXVVVZWVnjppZfw3tPv9/n2t7/Nhx9+yIMHD/j6178uBSUhZsBxb0md42gndQisjj4cIYR4\nqpnORfuBB5UKeWeioQghPp+ZykWdfop3/kjEgVEEBKhAEWrFlZU6D7oZAK+cXZAlJ0KMULkj3Fhe\neqZykRBifh23sPTLwB80m81foxwM97PAL40tKiGEeDLJRUKIaTBTuch6j/NgC4s/VF+qxBqv4C+8\ndYW4GtPZ6GIUrC5WJhqvEPPG7g+gVoowGGk34EzlIiHE/DrurnB/t9ls/gbwFynPR/56q9X64TgD\nE0KIR0kuEkJMg1nNRUopAqPw1oNSGK0oPESBod1LKQrL+eUq55Zqkw5ViDngAU/hHGme4XFUA00w\nwmWm05qLrl+/Trfbfez5jY2Ng0HcQoj5cqw+52az+W9QDoLbADaBt4fPCSHEiZFcJIR4poNFIeNb\nyjVzuWh4HeseWYtTWOinBWt7Xax1VKOQlUYVpWS+khCf10I1wB865Gwx+oLKtOaijY0N1tfXH/vo\ndDoURTHp8IQQY3DcpXA/fejzEPgp4P8F/sHIIxJCiM8muUgI8VTehADoKBrn28xULjJalb0T3mEP\nFZeSNCctHA92UhZr4xkAI8RpVauE7NdogyAkCHJS5zhSbfr8pjIXffnLX+by5ctHnvPe853vfAc/\n2t9fCDEljrsU7ucPP242m6vAPxxLREII8RkkFwkhniVaXCTbvI8a4/DpWctF5qAD6ejf5HADk/Oe\ng9YmIcToqIdHXpYVJPnoCivTmovq9fpjO7k552RTACHm2Ise3V3g2gjjEEKIFyG5SAgxDaY7Fyld\nloykbiTEiejl+cMHHgpn0d6hlT66h9voTXcuEkLMrWN1LDWbzd/kYRpUwGvAr40rKCGEeBLJRUKI\naSC5SAjxNIPMYrQ+SBLWOhwKrdVIC7ySi4QQ0+K4M5beOfS5BzZbrdYHow9HCCGe6p1Dn0suEkJM\nyjuHPpdcJIR4jDpUQzImwOsUP/p2pXcOfS65SAgxMcctLP0rrVbr3z/8RLPZ/B9brda/OYaYhBDi\ns0guEkJMA8lFQoinUkod7LDofIFznqKwo34byUVCiKnw1MJSs9n8FcqWym80m80fO/SlEFh63jdr\nNpsa+G+Bt4EU+HdardaPnvd1hBCny6hz0fA1JR8JIZ7LLOci2YdJiMlQ75IYAAAAIABJREFUCgIT\noslGtiPaLOciIcR8elbH0n9GOQDul4C/dej5AvjwBd7vXwQqrVbrW81m888A/yXwL7zA6wghTpdR\n5yKQfCSEeH4zmYusG3ZJuFG+qhDi2cqOpTzPKYDCjazEO5O5SAgxv561K9yg1Wp9F/grwCeHPm4D\njRd4vz8HfAeg1Wr9HvCNF3gNIcTpM+pcBJKPhBDPb8Zz0dMrS0mWs9cbjO/thTht9ucseY8BjBrZ\n5O4Zz0VCiHnzrI6lXwF+DvitJ3zNU7ZgPo9FYO/QY9tsNoNWq1V81g80m813gF98zvcRQsyXUeci\neM58JLlICMGM56LPWoajUCzXY3ppwYPd5EVeWgjxGfzwIzSqXBc3GjOdi4QQ8+ephaVWq/Vzw/+/\nOqL3awMLhx7rpxWVhu/9Dkd3PKDZbF6jrMoLIU6BMeQieM58JLlICDEvuUgZhXfgvcMPl+a8fnmZ\n+50BWTry4cJCnErOORgeX0EQAhY9orrSvOQiIcT8ONaucM1m8+8/8pQHEso1vL/carWyY77f71C2\nbP6j4drdd48bqBBCjDAXgeQjIcQLmtVcpLQmNAGRCWinKWlmcQp6SYai7FwSQoxeIwxJgwxjRnuM\nzWouEkLMn2fNWNpnKXcY+NXhRxU4D7wJ/HfP8X7/GBg0m83fBf4r4Bee42eFEGJUuQgkHwkhXtxM\n5aL9Lc+VUoQGjAbrPFqVpaQkly4lIcZuPHXbmcpFQoj5dayOJeAnWq3WwQC3ZrP5fwD/X6vV+uvN\nZvOHx32zVqvlgL/5nDEKIcS+keQikHwkhPhcZioXVUKDomxlOCwKA5I8H+dbC3FqpVlRzlfyMLAF\nNrcEwXHv6R/bTOUiIcT8Om52qzebzYuHHp+nrIjD8YtTQgjxeUkuEkJMA8lFQoinSnIHeJQq92Ms\nKGebjZjkIiHEVDhuwvlF4A+HrZGGcvvJ/2C4G8Cvjyk2IcQMyIscay3eO8r0MFaSi4QQ02Cmc9F+\n55LW+mCZ3HItnlxAQswjVR5rCjBK4fcfjNZM5yIhxPw4VmGp1Wr9o2az+RvAT1Gu5f13W63WZrPZ\n/K1Wq7U91giFEFPJe8/3bvwh99sP2Eu7+OHJkh3D7bh9kouEENNglnNRPytAebz3RBpsGHD1fJVL\nZxae/cNCiBcy8gVwQ7Oci4QQ8+W4u8ItA/8qsEpZa/9qs9mk1Wr97XEGJ4SYXmmespPsAlCPYjpZ\nuSOtdeMbAiu5SAgxDWY2F3nIbUHuNM7DwDoUUA+iSUcmhHgBM5uLhBBz57hL4f43YA94j8dnPwoh\nTrEzjRXioEIvH5zE20kuEkJMg9nMRQry3JNri7WWfpERmJAr5+qTjkyIuTSejeCOmM1cJISYO8ct\nLF1stVr/3FgjEUKIZ5NcJISYBjOZi7x/+H8PeDSF9zgn16NCjFo6sJxAaWkmc5EQYv4cd8nvD5rN\n5lfGGokQQjyb5CIhxDSYyVykFAcDhQ+ew3P7QZf13T7WWqx3tHsn0oEqxFzzanikqf3/jaXINJO5\nSAgxf47bsfTjlInrPjCgTJG+1Wq9NrbIhBDicZKLhBDTYGZzkdYKrcoik0HhgY1eyg9u3KcSBxSF\no5PkLNYrkw5ViJnm3MNCklIaFZSPjRlpgWlmc5EQYr4ct7D0V8cahRBCHI/kIiHENJiLXKQYLokb\nbuYZGEVeON69ucmVs7JLnBAj4cAYDR5MYIj0SAtLc5GLhBCz77iFpVvA3wT+0vBnfgP4b8YVlBBC\nfAbJRUKIaTBbuUiVF7IK0Eqh1NEL24VawNWzC2hgay9lt59RFJYgMCcfqxBzQmvweArrSbKMQINR\natRjl2YrFwkh5tZxC0t/B3gD+PuU6fDngVeBXxhTXEII8SSSi4QQ02Bmc9HhwlLuPUYpImN4+9pZ\nIhNwa6s34QiFmH3elwUlAOfKApP3YynUzmwuEkLMl+MWlv4y8BOtVssBNJvN/wt4F0laQoiTJblI\nCDENZj4XaaWxLgdtWKpHkw5HiLmyvtMvyzzKDDuUxrY73MznIiHEfDjurnABR4tQAWBHH44QQjyV\n5CIhxDSYyVz0cDc4hdFlp9JCJeTiisxTEmKU8sICCqPUcDfGsRWWZjIXCSHmz3E7lv5n4LvNZvN/\nHT7+14D/ZTwhjYbFs9vvgtL08hRrC+7t3ifUMbVehd6gz0JSozNI+P6nf0xgyj9FbALePP8FqnF1\nwr+BEOIJZi4XCSHm0kzlIjXc6Fw/4axPGZmjJMSoKaUOFXLh6IORmqlcJISYX8fqWGq1Wv8F8J8C\nLwPXgP8cuDq+sD4nD945UpeRFhnW5hTWkRYJvaJPJ+3Sy/t0Bn26WZeN7iYb3Q02uhvc2Vvjxtbt\nSf8GQognmLlcJISYS7OXi8quicM9E9Z5cmcZpDlplk0sMiHmUWYt/lAxyTk3lveZvVwkhJhXx+1Y\notVq/RPgn+w/HlbG/71xBDUqoQ45v7BKWqR453n5zMtUwyqL1QZ7/Q71uEo76fLTb3yLIAjYTdr8\n4PZ75cwBIcRUmsVcJISYP7OUi/x+u4R/+EzhHM6Vg4XvbfePfH+aF2x1EjbbAxRw5UyDpUblJEMW\nYqY5e7RFyfvxtSzNUi4SQsyvYxeWnmBsi4VHRaEwWmOUolBglMaogECHGGWIg5jIZNSiOkEQ0M/S\nSYcsxMxJ84zOoEuSJTTi+iRCmN5cpDRaa6KoNulIhBDjN7256DEevMcYQ2QU+fAiuBaXp4XbnQF/\nfH2DYvjdu/2Mb3/p8oRiFWK2eO9xzpXF24PnHKBwbnwFpkNmKBcJIebFcYd3P8mJZEYhxHTb6u3i\ncGilAUUchGO9M/cE05uLlEbFMWZ5edKRCCHGb3pz0SP2U7R+ZKjwS2frxEGA85BZTxQEKKXIipn5\n1YSYuL3OAG0M1heEgUGh8K685NL6RGo+csAKIU7cUzuWms3mb/Lk5KQAmW4thMANNx9ZqjVYihdZ\nri6O/D0kFwkhpsGs5yJ/aCkcPH53UWtFuZdJefG7WI3Y60s3txDPo8ARGIMaHmFxGKCGB9vDHqbP\nZ9ZzkRBi/jxrKdw7JxGEEGL25YXFRW6499DIvTOOFxVCzLai22X9//kOShkWvv4NALy3kGcU7Q6q\nPvJlqO+M+gVPQiUsT/f8k7olHukwrYYPTw2/fG2Vf/rB2lhjE2JefHx3h7tbfZaqIUWRH5wNWe8w\nDkDhLKAUy7Xo877dO5/3BYQQYpSeWlhqtVq/dVKBCCGm353dNW5t32Fv0CbNMm5t32GQ5aRZjjHQ\nGfSpmD3yomz/HhXJRUKIJ8m2d4iGXQE7//S36d/+lHR7syyWeI9PR7sZx6zmokArlFZQODwOMAdL\n4JLcsr7bpdNLWajH6ENL4+IR5nEh5pVzlvs7XTr9jKwoePfmA9Z3+vgnNCcFqpz/GpjPd2zNai4S\nQsyvzzNjSQhxinjvef/ex/TyPr2sy3Z/i36ekNg+DovHk7uCxO0vm1BE+vPsDyCEEE/jsf0uAEpr\nKHJsp41yVkbXPiIwGgUorR7OVzr09SS1/MmnW5MITYiZd31tl5sPOmzs9tjqpjxop9gnzpr0JzVj\nSQghTpxc9Qkhjs15S2xivnjhdX7sYhP1I00n6fKgt41BsVRd4PzCGa5HtwlVQBzK9tRCiDFyjmhp\ngeU/++dxgxRweG/J212CxUWKZDDpCKeCMeXFrNHDcpLXMJyPV3jPIC3oDru79huWokjuPQrxLN57\n+pnFOo8C3LCgFJmAgS6OfrNSaK2x1qKUFJiEEPNFCktCiOeilCLUMbWwRmhCjDGYYXuAUYpAGTRK\nOgaEECcmCGOcCVFhjFJhWR2RHPSYhz0UDg8MsgylI7Z7Kb/34T0UcH+7w24nZXVBbgwI8aIqoaaX\nPFKcHR6ASuuT3j1XCCHGTgpLQgghhBCnhPMe7z3WecIwwhhDFBkcijy39FJLvWawTi58hXhe0XAu\nmVIKj3+svq2VPzLHTAgh5oUUloQQYszsIMX2Othul8JaOjdvQnePYpAy2Lw/6fCEEKeE1hqFwg4v\neCOjqVZCgkCzXI949eISH63tEWtNHIWTDleImbNYDanFhl5Szp6E/eWlGnC4Jwz0FkKIeSAL6IUQ\nYszybhuf5+A92oN2Fp9nFL0+nfc/ZPf9d0n39iYdphBiTjWi8j6iV57ClrOVlFZUo4DCucNr5IgD\nw7lazOvnG5MIVYiZ00ty2klG7jwKRTWKjnQqHXyuFEprjFYyY0kIMXeksCSEEGOihtsJu2RA3u+D\nMag4pPbqa1CpEhiNS3r0r39Mdu8ONk2f8YpCiH3JndtQlIO6xdNdPlMjCgzKa5wtq0jeeZ602E0r\nMIGhKh1LQhzLoCjK4tGwWPToUrfDD41RXFqtoWR3OCHEnJGlcEIIMSamvog2BpzHpSnKBFBYst09\n1PDirnrxItHiIijww04CIcTT5WlKtrNNFEZPHYJrahVskhCsrGK7p7cAtVyr4DygwHkwSuO9rMkR\nYhSW6xUGaYIfziXbaPfpZwVPSk2VwFCNTvfll/eeLMvo9/ukaUqapiilqFar5S57/T63bt1ifX2d\nnZ0d7ty5Q71ef+x1KpUK58+fn8BvIIR4ktOd2YQQYpyUQgUGsgLlH96d9La8oFNa4U1IuLg4qQiF\nmE1PKSa5IgdXUCQJBDFmcZFwcflUF5YOmiMUhMaUnUr7z3mP81LUFuJFaaUIQ001UIAnSXMKZ3li\nS+ApptTDJYB5ntPpdMjzHDu8qba1tXVQdPrkk0/Y2Ng4KDLFcfyZryvFJSGmgxSWhBDihCgl55lC\njFq8snTkcba9jc8tRbdHUFfkbSmaHKbgIBF57ylQZKklaPcnGZYQMykZZGx3BjjnQQdEUUBaFKjH\n9oMbOsVDSJRSXLp0iffff//guYWFBfI8Z2lpiYsXLwIwGAxoNpvEcczOzg6vv/76Yx1LGxsbbG1t\nkcoIASGmhhSWhBBCCDGTVBSw8NVvHHnODwYofXjOiSz50kqBVigUxbBjUgNF4QgiQ2ZhkJUFuKc0\ngwkhHvEb794hL8p9Fq+eqROHAXGgubPZO/geDWijqShLcMpnK0VRhDEGay1KKeI4RmtNtVplcXER\n7z3GGC5evMjOzg5pmnL+/HkWFhaOvI73nq2trQn9FkJMr263y61bt3DDLSi3trZYX18nDEP29vbo\njrF7e64LS2mRspt0SfKUwhXc39si1G12kj0GaUItqk46RCHEKaB48pBcIcTnE1RqRAuPLCUdzg7S\nVfk3ft9SdX9XuIfL4hxgvUNjyg4mBR/c2uL+Xg/wZFnOJxtd7u/2ONuoTCp0IabadrfsmHnpfIOz\ni1VeOrfAUjXgT+/u0k0yFGCMoRYG4E9xu5IQ4kTcvHmTzc3Ng8e7u7skSUJRFGxvb9Pr9bDWUhTF\nyN97LgtL+3cpTaBJsgG5zSmsp593UDoiIyPJBmz2tqmFcuIphBg3hdYPTyidczhb4GW7YSFGxll7\nUFQCXbYJSEUXgCgOyqnd3qO0xlP+acIgQGmF8w5nDT9a7+Cso9tP+XhtjzvbfbY7KVk++hNQIeZJ\noDV7nZTNzoB6oBkcGt4dhYaVeshOL5tskEKImTcYDLh+/TpZ9uR8cvPmTfr9Pq+99hpaawaDAVrr\ng/lmURSR5zlBMPoy0EQKS81m868Cf63Vav3r43j9UEcorWmYKmfqywyKBGfh6soV4qBCGAR8tH4d\nJ/3eQpxq485FR+iHV7kuz1DKo0PZzluIURncXwPnUaGGwaSjeT4nmYvU8MMAS/WQ3Cva7YTIwIPd\nDnnhqISadz/d5v5uj+1uill9fEcmIQQHO8EtN2LWNnsM8py9XrZfxy2/x/tyyOIMONHzIiHEc1tf\nX2djYwPgoFh02GAwIMsykiTBGEOapjjnDjqUDheZRu3EC0vNZvOXgJ8B/nhsbzKcTOk9REFAoAyF\n9oQmJA4qBMaM7a2FELPhRHLRYUaDOzpEWH/WcE8hxHPZff9dtn/wh6R376LUbC03OYlcpLUmCDQ6\nL+csKVVe514+0+DWZo84jtBaobTGGIW1ngsrdRbrMR/e3Tn1c2GE+CxZXg7qrkYBi7WIO7c6aFUu\ngA+C8l/5ws3GjewTPy8SQjw3P6xYv/XWWywvLz/29ffee4/d3V2++c1vEoYh9+7d48aNG8RxTJ7n\nJEmCc24sxaVJdCz9LvCrwN+YwHsLIV6AtZb311p8unOXzd4WrfvXSbKUT7fvkGQZSZaitWKv30Ur\nTV4UgKeX9TjrH096U+Jkc5E2jxWWhBCfn/ee/qc30UVBGIdkj6x/81lKcu/2Z+/SNHljz0VKKbQC\njz96Mqmgm5Tt9I04xESaTr/gpbMN/tLbL1EUlk83xzfoU4hZ9vG9HdZ2EpJBDoDWiqyw1OOISiVk\nkJf/5oemLHY75+km+cTiPQa5RhNiyu3s7HD37l2UUiwuLj729U8//ZR+v88HH3xAEARsb28fDO/u\ndDrk+fhy0NgKS81m898GfuGRp3++1Wr9w2az+Ref43XeAX5xhKEJIZ7TWvsBt3bukhYpDke/SNhL\ndkjyhMyWFyVKgcWRe0sYGIwxoGCx2iDQkxvnJrlIiNMhaNRQJsSs3yPv9g7mK2kdgPcEtQq6Prkl\nXZPMRVopIhMQqPzIHnlaQT027PYLtFYHS3eUUmjpUhLiqda2eljnGGQF250B7V45yNsYhS4cRWGJ\nw4AgVARao3Q56iwyAUu1aGJxT8N5UVEUtNttnHNkWXawfAfKpTyVSoW7d+/S6XRQSlGv13nllVc4\nd+7ci7ydEHPj3r17ZFlGv99/4tf3j6VOp4Mxhm63S5ZlFEWBtRbv/ZEdGUdpbFd7rVbr7wF/bwSv\n8w7wzuHnms3mNeCT53kdM2yNb1RqDPL084YlxKnihttTX1w6Sy2p8PbFL/HWpTdQStNJOmz3dlEo\nlqoLXFw4y92tdSIT8OWLX+Lb175RFpkmZNpy0aNcnh20tQohPh/nHXpY1DZhiB12DFRXVln6sz+F\nCSY312ySuSjQmjg2qD4UuYWwzMn73UveebKswGlVDkEf2ukmbHUSfG753kdr/DOvnxvLwE8hZpKC\nvd6A1Hk+vrPLykKMx5PmOdZBvVrB4wm14uxylQftPov1Cj/95csEwek8L6pUKoRhiPf+sYta7/3B\n+VCapthhLiqKgm63y507d6SwJE495xxBEHzmUrgoitjd3eUrX/kKYRiytrbGJ598QqVSIUkS8jwn\nz3MajcbIYzs1ZwdxELFUXebNc6/yJ/c+mnQ4Qswm5/GANoZKWCEwAUEQUYsXKHwOSqO0pnAW4zTa\n6IkWlaaS1tQuX2bQ3QVSXFGQD2Zs0rAQEzZ4sEHW7RAEId07t0l3d1FpQt5LIIwxUQVTq2P32uUP\nBMFEi0qTprUiNOW8lzx3FJHDO/jS5WVubXRJiwE7fctCNSazDwvda7sJdvh4uztgqzPgwsroT0aF\nmEXeewpfzlm6v93m3MpZ4jBCafBYNB7rHc7Bn//iJTywGOmJFpUmLYoigiBAKcXCwgKNRoM8z1lZ\nWeHq1asA9Pt9vv3tb/PRRx+xsbHBV7/6VX74wx/inHvGqwtxOrTbbd577z3qT+jCXltbI0kSfvjD\nH2KMYW9vj62tLYwxn7mT3KicmsJSoAN+4uqPs1pfBiksCTFSRoOV8UHHFl26TPFgjWLzftkXD7hC\n/oBCHEf3zh3u/5//GPoJhdql/Ue/z+D2p2gsUO52ouMIHU1uqck0igINyhBHnkBrCuX46N4uWeEI\njMIrzyArnrh7VRyf3gthIZ6msA6lwCnDIPXEocZZh3UOP1yPG4UB1WrM2YUKS43KhCOeDtbaxwpF\nvV7vYInP3bt3D3axEkIclec53nuMMY8dR8YYgiA46C4uN+8IDjqUwzAkTcezemsihaVWq/Vd4Lsn\n8V7ldp8e7x3WFhRFQWELvPOy/ESIU+4kcxGALxzeFSS3b5VPKIXG0f7wA7KtbYhvn1QoQsws2+3g\nBglRo8rCq6+y2PwS2c4OKs/QUUiRDMg6HZjeYd2POYlcpID9hSfKGJwv+ODmDgWepVpMO0kPxp5b\nOT8S4qmKoiDNc9SwUztQsFyPsM5RWM1eP6NaKZd8ffHyEmcXYr700iqr9ekuLJ30edE+YwzeezY3\nNxkMBly/fp1erzeW5TpCzINOp/PE4yPPc6y1WGvRWh98HoZl13aWZWg9nhUlc96x5NnobtFJ+/Sz\nlN++8ftUgpgfbd5gs7eNUvDyytVJBymEODXKgXm+30drhVlYwBYWsgylPEXy5EF8QojH6Uqd6MrL\nNJpfovPJDezONoQRebuLdx60Ilpq4AYZ1VeuTTrcifP+YJ45WimUgl6aUanHWAfaM1zCA7n1B/NN\nhBBHJWnOb7+/xrufbpedSdYRVCLu7fQoLHjr8IB3ECjFm1dWMUbz2oWlSYc+tZrNJvV6naIoSJIE\npdTYl+0IMcv2O/quXbt2ZPahtZZOp8Nrr71GEASsr68D5XyzPM/LJpui4MyZMyOPaW4LSwZFFIQE\nQYTWhlAHLFTr1KIqtW6NIDAU1tLLk0mHKoQ4ZerXXqV+9gzbf/B75PfvTzocIWZG985t0o2tx573\nzpGs3cUBtt1Bq2F/TlghqDaIL1w68VinjT/cLa/KnatevriEdZ5OO6XAUw0VhVM46ykKmWcixJPs\ndFMGWYF1gANlykKtdZ44DNGBY6ef4lyBiUPayfi2954XtVqNK1eusLa2RhRFVKtVtre3Jx2WEFPt\n7t27B0vi9j148IAkSfjkk08wxrCzs8P29jbGGDqdDrVa7WCI/qjNbWEJFNWoThxF7OqQShjzxupr\nrNSXeLC3xW2/xiDL6Kc99vodgiAgy6UyLsS+oijoZWXhtZN06aZ9+mnCIEvpDnq0k+6EI5xdqlLB\nLD6+k4MQ4rN1bt+i80d/QLq5wWCvg1GevNtjsLeHS1PyQUIQRvhhBaV64Rw+rKKMhhFvqTvT1MNP\nvPdEOiB1KXiPGn4xzaRbSYin2dzrs7HbI0kzvFbY4e659diAVxj9cCnuQkVmlD3Lzs4O9+/f59at\nWyRJwuXLlycdkhBTzTmHtRbv/cEQ7yzLSNOUoijY29sr6xtZRq1WQylFv9+nVqsRxzHRGOZQzmVh\nyQMaTTvroApD6jPyLOf7t39APary6e5tenkPDage/M4nv48xmn4+eOSWnhCnU1EUfPfj75Hacrjb\nbq/NWuc+SZaQ2ow/3bg+/JpHz9AcEyHEbCqKgs67PywfKGDQweaW/o2Py1nTzh4URUxgcEB04TJF\nX7qSD+hyqZs+NJx7aychikPwjkFmwVvCQHK6EE+z20lY203opcXwmNJk1mILj1egPBye8RZHc3m5\n9cKq1SpQDhXet729jfeeLMsOZsCsrKxMKkQhpl6apvR6PRYWFo4cS3Ec471nYWEBY8zBHKbl5WU+\n+ugjlpeXqdVqMmPpuGIdEQYRS9UFlNakeZ9AGy4tnqdRrbPd32Gvt4dG0agucGXlIrvpLt2sT5rJ\ntt9CdAZdUjsgDALOLZwjCmIGLiUOAvp5xrmFM1xeuYhGsdfr8NHGjyYdshBijhW9LuQ5JgioXrhA\nevc2viionD1D/epV8jQl3XiA67QprNwgepI4NGVRScF+M0Uvz0msI0lyCuvp+4zqfJ4aCjEymXVY\nZ7HeEwYRHk9gNL00w24VgMY6h9Ya5z21WDomD8vznH6/TxzHZFmGtZbBoLz+On/+PEVR8PWvf51W\nq8Xm5iZJkpDnOWma0u+XsyiTJCFNU5Ikod/vEwTBWDowhJhW+zvDHdeju8eNw1yePSilyfKMRtTA\nBIbtzha1oM6PXWqyWl9ms7PNnZ11NIrlygJvX36LT3fvsNnZnXToQkwRxYWFC7x95S1ubd4lzQfs\nKINSPV5avsJPXPlxAH7w6Z9MOM7ptb+152c1dfkjzyuy7V3yvT2iM+fGHZoQMyXf2QGgcvkSVBu0\nWy18lhJffomlr/0kaa9H+6MWLklQ3oNR6FoNpGPpQKg0odFkFnCeShhQbiigcbFDG0WRebRWJIVj\noy1/OyE+i6PsVEptRqA0zkNWOLQ2JEmGDjRKgfOKQS7F7n1KKYqiQClFp9MhTVO899y+fRutNVpr\nvPd873vfY2tri263S1EUrK+vY4w5KCz1ej22trYYDAbcu3cPrTVvv/02S0syIF2cDvudSYuLi1y6\n9HCOZLfbxRjDxYsXCYKAnZ0dBoPBwTB87/3YikxzWVgSQoiJU4rln/g6yd3bpFsbR74UNMq10AqN\n1gE6LO+yBUbR+dOPOPMtKSwJcVjvRy0AdL3BznvvM3jwAFzB3ocfUGt+iXDl4e4mSil0pYqJ40mF\nO7UU5Yp/j8IrTzUISAuHYrhTXOAZNjXx3qebrNQreOfJUscgKyYcvRDTwyiFx+Gcp1INsNaijKYW\naGyowOjye7znOZoK5t7ly5cPluZYa48s2wmCAGMM1lra7TaDwYA8z+l2uwwGA7TW7O3tAeXy6Hq9\nzsrKClEUMRgM2N3dlcKSODWCIKDRaHD58mWazebB80mSsLu7yxtvvEEURXzwwQfcvXuXOI5ZXFxk\ndXUVrTUXL14cfUwjf0UhhBAAmGoN9YQ1zKZSe/ggCDDVysFDP5BNBIR4lM8tQRwTXrhE/t3vgi8w\ngYY8o3/jBktff1hYildX0EFEfPY81YvlAFgtw7tLmnImFR4FFC6nN7BY69BaAergTmaSWR602/Sz\nHKXg0/sdvvGF0W9PLMQs8t5TFB7tFYMiI1CGbj8jDkMCE5TdSg4qkSIcwyyTWVWv12k0GsO/X8Hy\n8jKNRoPV1VWstbz66qu0222896ytrbGzs8NLL72EUoowDPnCF77w/7N3J09yHXmC37/u/pbYc9+A\nBEAABMGlyCoWWc3qqlF3zUxbj9lcdJCZdJbpH5DGdFffdJT0B8yKcLN1AAAgAElEQVRJMo1Mc1Sb\nzdhoRj29VHUVWQuLLIDEQiCRe2bs29vdXYfIDBIEQIIsIhOLf8xoBONFvHieDHjG+/nPfz+iKKLd\nbpPnORcvXsT3fT799NPTHprjPHWyLOP27dsMBgPm5+ep1Wq89NJLrKysPJH3c4Elx3Ecx3Geft7n\nN2d+pTIJ3ErJl9MBrJDIShWhPErr50/6Kp9KQghKoZruyhVHmRQSj1IoSdIMEGAteZGhjrpcFVbj\neR4Yg8UySlzWkuMAmKNpZ1KsW6CtxmDxlSDwFdpYorTAkwpPuoL4XySEIAxDSqUSS0tL99VGWlhY\n4MKFC8AkIyMMQ15//XXyPKdWq/HWW29xcHBAu90+rct3nGfGcR2mL/4d0/rJdX11gSXHcZyT9oUb\nYaFcJoXjfGMWrHH7Sx6XlILVuSqbrT6jRBzF6BRKQZFOMpQCT6FNQW4E7WFMoEB4EiUFQrh5ynGO\n7XfGwGTLaOApPAW+p/BEQW4NOjOTFtUIQk88ke5Lz5tut0ue52xtbU27xu3v79Ptdtne3qbdbhNF\nERsbG7TbbbrdLkVRsLe3h1KKdrtNqVS6r5jx0tLStA2747zISqXS1z/pO/DCBJYshn40RAnFKIlI\nsgyJIM5i+tGQYTwiSmOyLGGUjOlHw688X9kPCXzXfcBxnMcjfAWFQsqAtNVGzM9SxDHWgixXYNqi\nePKlKGm1SEdDKpevUFlaPtVrd5xniSk0Jo0fyGR60S3PlAl8n2qosdpQDUO00Sgl0EZQUopMarSF\n3FpGSc4wL8hyS8W1S3ccYLLav9Ueo43B9z2UMfhKUhiLkEwS/wwUxiIRKLd49JWOg27H3d22tram\n2RXNZpMoitje3qbf75MkCRsbG4xGI0ajEcYY9vb2kFIyGAxQSk27y8EkMPXjH//4VMblOC+iF+Kb\ngrAChOCDrQ+pBmXu9bYY52MkIMbw87sf0E367A0O0Trn2sEtusngK88pkfzJhbdZqM+dzCAcx3nm\neEcrZUIoZFAC38fmBYPfvc9ICaJ7dzHaUnnlKpWFeaJWh8Fnt7AI8tYBqlan94t/IF49Q+OH7+D7\n/imPyHFOVz4aEO/vYYZjfBWgHrIIp4d9GI/JRz3KXDj5i3xKrcxWWKqHtHoxSlpW5quMxwmjtKAW\nhggFNgVPCAIpORwkCCnJioLAbeVxHGASCCn5Em0tuZ5kJillUVIircKXCo3BFBoplQtwf41qtcqV\nK1colUp0u12uXLlCpTKpQ3n82Msvv4y1lkqlwquvvkq73SbLMoqi4OLFiyil8DyPM2fOTAsS37x5\nc9oFy3Gck/FCBJZKQYnZSp21xjK1cpVO1KU/7iMR1Mp1zs6tUop8xsWYIs9Zrs9zZu7RldL70YBx\nOqYb911gyXGcR/IWF5HhZOVNKg+hDUZKKHJ0pvFKAdkwJvrkOtoYsmiI3N1hpA1GawKlsNaS7O3g\nby/jvXTxgfcQwt3wOS8Gm+XEGxuYJMbqlCJN8OuT4K01BmOP2ucKQbiySOnsuVO82qeXYVJw2Acy\nbVmulRhEKbmZbC8UQpAYjQGsNqSZoVuMSXLNX79/l7+/ts+r5xb42ZtnT3sojvPEbB0M2GyP+N75\neWZq90ewV2YrXN/tYnQOKAQKqQRIgRSg4Wj7qCEpDHnhapN9UbVaJc9zwjBESsnCwgIHBwckScLS\n0tK0a1y73SZJEhYXF9nZ2aFWq02LDh+/dm5uDt/3aTabzM7OTo9vbW0RRdGpjdFxXkQvRGBJIpkv\nz/HG2lXmq7O0hh22u/tIBLOlOt8/8zr3ett0oyGpSrg4f563zr7xyPNt9nb4ePv6CY7AcZxnldeY\nJVzJCFfXSQ/28aSg/NJFbKEpem3E1iZ4Hr7RUJ8hXF6hfGad8Z3bFMYgeh3ig33S/oDR9T88cP5g\nYYnFH//pKYzMcU6OX2+QtZsQjaaPHYdUrdG0/vY/Mr57B9+TiLCCLNfxaq7t9KMYoMBQCRVYkAoO\n+ylKCkLlU/Y9gkASa4O2hiIHIQW5gXGa8+GdQ/7klc+36CrA86SrJeM8N67vdCiMZbcTPRBYmhAI\nFJ4vEFJQK/mMx2ZabwkLoeeBtbicpfs1Gg3q9fp99ZAcx3n2vRCBpWPjZMw4GdMedhknEQIQwuPT\nvVs04w7tcYc4Tdho7eLLgIpfeqBFceCFp3PxjuM8u8zRnRugR8NJbSVdkPQHFIXBs5B7PqnJ8CtV\nstGAbDREFgabxRTDISJsYvIU6XlUz62jPI+sNyA72CNPEvwTKsznOKdBNRrQbmKtxZrj1f/JTYmO\nE8w4Bgs6zfDCyuld6DOkP07wpCLLNVGSYWDSySpPQCh6OqUSBBS5xhiDsIZGKcAIi7WWv/l4+77z\nBUrxZ6+vEYZuy67z7CuOmgNkhWb7cFIeQ0pYnZ9k0+h8EnS1hcQTltYgwmhDreIzUw4wOiEMpAue\nPMJxZ0rHcZ4fL0xgyRjDr7c+JvAU++NDMp0CkEdt/vraf0Kj6UQ90iKlG/f49OAmoV/iwvzaA1tN\nlqqLbsu088y5fbjBndYmALv9A1rjDneaHv/h+t898NxROmazu0173OOg36I96nIwOiTNY2qlOm7z\n1eMR3iQ9XvkBJoknjwUB6e4OwfwCRBE2iUnu3UGGPjLNSO/ewjbmsHGM0ZoiD7Bxgul10WmKBiKt\nmXvvJ2SDwST1wJhTHafjfBOjrU0GH38I1iLU430Nie7eRUcjEIq838ezFhMkZN0eXq9HvL05KZqL\nxbptJ19JIBBMsoziTIMQ5EYgsAgBUQZRPsT3PEZJjBQCiaTVj6mWfQIlmatVsBbmawHd8aSOSaY1\nh72YcysusOQ8P7Y7I7Y7n2dKqo02G80BSVGgrUUKgTaGophsYY/inCTRKE/QkILUuG9MjuN8N1qt\nFjs7OwwGA/I8B+DatWt0u93pc7a3t4njGCHEfTGM4zqtX06a+S69MIGlQhfkJqfqlVhrLJNkMXGR\nApZYjzHWoG2BwZIXOT3bQ6aKuWoddfQ/INE5vXGf7d4BAnh15cqpjslxvol77W1yk1IJK/hKTW4W\nlMD3H9y64BUKKSW+NznuKYmQEt8PKAfhV9Ygcz6nvIDF/+JndD/8EFVv4IUeKixROnsBf26e3ge/\nwGs3KPo9jJAwGkCtRjDTwGQpIvDwwgqqUqJ26RWCuTrd335IMR4TfXaLZGcTUamf9jAd5xsZ3bgO\n+ST4o4SE4KsDETrN0PEY6SmM502yjZVAegEIQ9FpITF4gY/NLALzwBcqB2aqAY1KiQsrM6R5weXV\nWZAQxTmDLKPZi4nSlFq1hBUQJRmV0AcBRk/KCux1YnwlJk0HSh4Sy5svLfPxvSYA7XGKq2zlPA/K\nnkd8FKQWQrA6W2GvO+bGbpeiMCgkFV8SBB46L0BbPAm5haVGCSEgNxbcUpzjON+Rg4MDYFJjrHS0\nU8EYQxzH0+dorbHWEscxSim0nmQd1+t1jDGkacru7i7z8/PTc3xXXpjA0rHZ0gxrjVVaww6VsIKS\nCrCkOkNrUGTMlGfITUaa59T8Cn4w+aEHeUx33CNKxsQm5W5rk2pQYW32/lbgSZaw2zsEYKWxQLVU\nPelhOs4DLJZSUOLPL/8pn+ze4m5rmwvz6/zs5Z888NzuqI8UgvW5M3z/7Otstnb4aO86w3TEufkz\nnJs9cwojeDYFK6tIP8CfXcDmOWGjxsI/+TMARrdvIkploqKAJEWrgKBcofLKK5i8QFQb+KFP0mpS\nee0NGldfJetHyHKIF5RImBQtztMUv+K2/zjPBpum0z/P/vSfEDRmv/L5o+1tbJFTPXeO0f4B8d27\nCJ3hzy8QLiyA76M8RePCeYbXriN9SeXiS4gnuCr3LJqrlXjlzCz1kk8vySmXJosKJU8xb0OksWwf\nDpHCopQk8H20gbl6CWskcZqRGY2x0BwkSCXJMs2//NElxknBnYMunuse5zwHtg4G06ASgK8Ub19a\nxtw+5MPP9mkPMwyWODMID3zlEZYUZU8S5QVxllPyFZ6cBLjd34rHd+3atenN7t7eHr1ej+vXr7O/\nv08QBHiex2AwoNPpkKYpN27cIAgCxuPxKV+545ycSqXC7OwsWmvCMHyga7QQgiAIkFIipaTf7zMY\nDKhWq9y9exeAer3OO++8851e13MfWBpFQ3rxkJIfsl6a3HidnzvDhfn1+57XTwakaU6QpyzVF2iN\nOsRZisYSHtVxkFgEkNmMKI2519kiMxk/km+z3FiYnuvX9z6in/YB2OzV+NkrrrCu85QRcLyYr7We\nPqyUOlrpZ7ri/8V/nO9WaWGOaH+yjSRPE/zQp3z2AnN/8k8wUYq/vEK2M9m+GG/coXbxEtIP8Oqz\nKAnCD/FqNeLPPqPy7runORTH+fa+bm4RAhDIchkTJ+ApsB7oHFlrUF6/QLK9SbC0RrDSRgLh8tpJ\nXPkzRymJVIJA3R90O+iN8JWiVg1IMz3ZKqcEoVIkWYHWGikFNT9gGKfkRUF7mJJnmv/nV7dJC81+\nNyZJC5QQXFypUyoFpzNIx/kj9eMMay0HnQgrLO1+zEd39ij5PjutEYUFXWikkCghMFajhEAFipIS\nLM1UqAYeiSkoKQ/fe+5vt/5ojUaDZrNJHMckSQJAFEXEcUyv1yNJEvI8p9frEUURaZqSpinD4ZAw\nDGk2m6c8Asc5OdZaarUanucxPz/P+fPnp8e01oxGIy5duoRSioODg0nW5eoqy8uTZJg7d+5QPIGy\nAc/1TJcXBbv9A9IiIyomk1QpCJkpN3jvpbenjwHs9vaJ8oRC51xeXJ98+RKW11YuU680AOjGfeI8\np58MsECjXAcsSZbc975JkR6tUEjSPDup4TrON5Ibzb3WNv/h089rLJW8kJ9c+m6j186jVd94Cyk+\nZvzZLUgzcmFI2y2GN2+SNA/JkhQbjbFFgdUFxRcyPRACr17HFAXpzibxlZcpz3x15ofjPGvifo+0\n0yba2iLptEibbYpxDHkOrQ7G3iLZ3cPEY4Q1YCwicE02HuXy6gy+UqR5xn7v89T5YWrI8wJhoRp6\nCGtJCkFeaDzfI9cWW1hEWKAkFIUhyjR5obm528diaQ2SSWZs6GGxvH5h8RRH6jjfjrWW5iBmrzNm\nszmcFLRPMtKsQAroDBLCMDiKdxvGaYZnoVQKUAKkJ5irhTTKPp1xghKuU+LjWF9fn970Hrt58yYH\nBwe8+eabXLt2jUqlwttvv83h4SF5npPnOd///ve5c+eOKwTuvHCUUtTrdZaWljh37vNN6BsbG0gp\nKZVK+L5PpVJhZmaGlZUV1tcniTWbm5tP5Jqe68CSsQZrLYHvsz67wg/W3+Di/CSit1S//wtPoQsa\n3V3SLGGxukhz3KOjfM7OrDFXmwOg7IXsVHbRuiDxU+YqM2T64YGj0A+RQpJlroio83TKioxceXie\noBrWGMZD4iKiPe5S8cunfXkvhHBuAe+9nzK8c4f0sAnWkPd7dH/zK7LmAf5ocrOsR0OGt24x99Of\nTV8bzC+SNFvku9sU0ZjaaOQCS85zpXf7U7p///dgLUlrH3YyjC6QxoDVYDRSWGwyQvoe/sIcNolR\n1Sqm0F//Bi+gRiXgexfm0drQHWfUyx69UUqSFyRJTnucgrXUSyXGaUJRKDJdYLxJhpPvKwpt0IUl\nswl+uUySaUJfEGeau3sDKr7ivSvLX3MljvN0+nSzQ5QVpJmhUQ3ojlKyTGMQjJMCYybdE2fKJXrJ\nmFBIpCephpMAUuh7/PjlZQZJxr3DAbO1stsi+piC4P4sRyklSqnplh7P8wiCAN/3UUphjMH3fZdR\n7zhH7t69y/b2NkmScO3aNZT6PLD9xT8/Kc91YOmYJz0CFbJQncdz6aiOc58rS5e5uHCe/3j9b7nT\n2kJpie+F3GvtEKcxSZLRGjW5190hymOSLCWghJCSC3OrJIXLyvtjKM9n9b/6r9FFQdFp4c8tIKSk\nMAaTZSglSTtdTKfNwb//d0idoRoNgjNn8bY2EJ5H3m7S/80H1NbOPNFuD45zknrvf0B2uIewAptl\nSE8Qzi2R+l2CIKB6+TLezAKmKFCBT2n9InoUAVBE0Slf/dNNKcliY1LHZGXOY7ZWom9BCgg8ycps\nhcOhJY4zCgPlcNJ8Uhf5JKupEqKtJU5z7ux1CQJFnGhKnqHdLyOEm4ecZ9MgmXRaurza4PZBl5dX\nZ7mlLUVRkOYFpZKPtQYjCiq+h7aCWqXEW5eW6QwTGmWfV9YX+NuPNwFB4CsW6y6L8o+V5zn7+/vc\nvHmTTqdDq9VCa829e/doNpsMBgM2NzdJjzK7Dw4OSJKEVqvF4qLLnnReDKPRpIPl7Ows6+vr09pL\nvu+ztLT0xN/fRVkc5wW32d3hl7d/w4d710iLmI3OBgJFamI2ugEf7v6BPDcgLdZo+kmPbtID4Dd+\nmbXG0cq0S0P+alaDNQ895JerBPOLeLU6paVFbJZTDAZ4jQb+/BxFp0XS6dD98DcEpZC426b25lss\n/rN/gfrF39H6xT9gRwPG9zaoX7x0wgNznG9GSIlFH/354SvNxhiGd25j2m3CxXmKJMUPA6wxBPUG\nQkjK6+cIl9cY3rpNefXMpHWZ8600Sj5JkjNfr4AtmK0qmsNJxsCky96kE1+SWWrVkDjVmLzA9ycB\nJGMhCBQWxVZ7TJQkLDRc5qvzbEjTnO4opnJUF0xrw/XtDp1xxvfOhsRJTpQXR3UoQQgFSDxPIIyl\n4kveeXmJUVQwVw/ojGJaw0mZjOVGBd93t1uPkiTJI+sj9Xo9BoMBGxsb3L17d5qZNB6P6ff7WGvZ\n3t6m2+2SJAlbW1sMBgNg0pY9iiJ++ctfcvHiRYIgYGZmZnoOKSVzc3NuMc45FdZaut3uA3WOiqKY\nfoYfZnt7mzRNp13fPM+j3+9zeDhpGnb82tnZ2enn/iS5me5r7PQPGaWTlc9O3KcfDRnlEdkTKHjl\nOE9Sa9CilfYoCsN+v0k/HhDnCb/a+B3tUY84iwmCgECFCCRWW0I/JJAeoTcp5o22+KHPTHmGg1EL\njSEY9zCmICsSym4L3SNl/R4Yiwwf3dpTBiEz7/wI4QXkcUKwssLsOz8CoPl3fwcKhMnJtrfZ/7f/\nNws/+6f4c/NU1s6SDoakvS71kxqQ43xLqlbHdDo0Xn4Zr9p46HMO/vZvsMMeYNF5Tlip4M/UKV94\nGZ1npPu7qFKF6tU3CM+cQ9XqjG7dPNmBPEcurc5QaMv8MKU7jLjXHBEoiSj5jFNNyZfk2uApRZ4Z\nFJbSUbMHpUBKMXmOESgpSFIX5HOeDcYY/vr9u3y63eWNC/OAJTeQ5ppWd8zf9MZgBQgIfA9jNOVS\nSMlXCFOQGTgzV+bK6izyKFC+dTC5uatXQlbn3PeiLwvDkCRJkFJijOHatWsPfV6r1WI4HNLtdhkO\nh1hruXDhAlmWUS6XyfN8WksmTdPptjmYBI7SNKXZbE4DV7Va7b6sjdnZWX7wgx88+QE7zpdsbGxw\n7969Bx7f3Ny8r6nSlw0GA+I4RkpJp9MhjmPSNH2gK+Jp1RxzgaVHUHKyD/F26y7+0Z7EJI/ZGx6Q\n5gmDJCJKYzzPFeVzng3deIBGo5RAHn9sj7q/1coloGCuPMvFxfP4ns9md4f56hyrjckvYWEEN5t3\nCD2flxbOEhcxgfRZm11mf9hEqZxSUCJQLuX7ofQkWyn4hinZnh8w96MfM7p1E1mbwfMkye4ORTIi\n73Uozc6BJ9D9LoPff8jsG2/infAKheN8M2KScfTKq4iHrBZrrUl2dxFC4tcqqMYM5TPr1C++RO3N\nH5J0mvQ/+ABVqSKVIpidO/khPGcWZ8oszpSZb5T5ZKuNNpP5SgnBMDpgsRawvjLDje0e5UCw20kY\nxgnWQJFZSp5iFGWUSiGehNs7A66cc9tPnKefEIILyzXAUi15DEc5e90hnWFMbgzl0AchCTxF2RNo\n6zNTDVlfqpImGXGmWZmtURhDIO+/JygFnsuIeYgf/ehHWGsZDof0er1HPm9tbY1ut4vWGiEE1WqV\ny5cv0+v1yPOcJEk4d+7cdNvbuXPnWF1dBSaZH6VSibNnz2KtpdVqUa1Wp92zNjc3H7gZd5yTcrxl\n7cyZM9MyPcdZTEKIBwrZH9vd3aXZbE67wtXrdebn56dFuQE8z3siHd8ehwssPcJKfYEojXll6SK+\nmuxP7MUDRllCazBJN8uLDM9zKxHOs8EAnqf42eWf8On+ba7v3qbie5xpLJMVOdtml+XGEj956UdU\n/Aq/EB+wPneW7599DZhMeIXW1MoV3jv3Q7KioObX+OG5Nzgcttjpwpn68nSLi/MI36b2iBAIKZHl\nEtX1cyTtLkJIsk6HmR++S7XfI9k7mGyhSxIXWHKeOf1PP6Ho9wHQRUGyv4MpcnIrEWmOLJeofe9t\nvEoFOSo/NCDl/PFyrQl8CUx+vlJIQKCk5MJinWY/pRRIuuOMNJdEicYy+f2iLXiewGhDMzpqF55k\nKCEIQ/+0huQ4X0kIwbtXz/DDK5OGP//7//cpuYHZakicaxrlElJazFECQCDhpaUqvqdoxZok1yTF\nw7e5Ow93fCM9Pz/P/Pz81z5fa01RFNRqNS5dusTBwQF7e3sEQcD6+jpRFNHtdjl79iwXLlwAoNPp\nUK1W+clPfkJRFPz85z+n0Whw6dKkXECz2Ty1m2/HOXbu3DnK5Uks4XhrZ61W4513Ht6h+9q1a3ie\nx2AwYGZmhkajwerq6vRzDZOspq8K2D5JLrD0CL4MWazOc2Xp0rTw1eGwyeGoySAZwrh/ylfoON+e\nEOJon7k8+rdACia1A6RESoH8wr/h/rTKSd0NgRTHx11HjpNg84IinxQW9WrVSVcs5RHOzaPKZVyV\nK+dZFLWajG98Mv1vXWjMcDTJ8rM5QoJfLiNCFzB90tYXqmw2J9t4Fupl0iKfHputhpyZLxOnmjw3\nZNqi1KTGjBIgA0mUFFR8SaPk0R7EvH/zAAT82etrVMsum9V5eu11xgyilM/2ekSZweoCgWSQZNRC\nha88EAbf82lUS1xZbXBzp4cQgnGef/0bOA/IsozhcPi1z9NaE0UR1lra7TaDwYA8zzHGMBgMyLJs\nUpdvOKTdbgMwHA5J05R2u43WmjRNiaJoejzLMpdN5jyVkiSZfk6/bDAYfOVWudPmAkuO4zhPu6Ms\np7R5SHZ4SNZu48/NAmDyjMHNG5Onua25zjPI5pNV49rZM5RffQ1dFOSDPulGgVUKEQRYIYk2N6lf\nunzKV/t8m6uVeO/KKsMk58JSnX+8sTc9dmGpRmEE1zaPCu0WGpTE9ybzkxIe1mjSvOClpQZCwGK9\nRC9KT2MojvPYtg8H/H6zTZLmJIUhSlPKgY/OcnxfIaXA6ILUWIyBuXqZ+cbn9RLLX/rd2xxNPvNK\nuEW3R7HW8uGHHxI9RgdPay0HBwfTTKfRaMT+/j7GGJRStFoter0et2/fptVqAbC3t0eSJHz88ccY\nY9jZ2SEMQ/IvBAHD0AW7naeL53nkec7HH3/80OPHn2ulns7v+y6w5DjPKWMMe4PDaWR7EA3Bs2x2\ndjkctcmKHIFgFEcU5tutto2yMVvdfZev9IT5cwuECwuIwZBo6x5FmmCyDJhknx0XDHWd+ZynXdzt\nUCTxA4/nwyH9O3fIgjJerYqOI4o0xRYFqlRGjyPGd25Ru3iJaPPBgpfOd+e43tIxISBKC67da3P7\ncEBJSZSSlMohea4RwqDNpAhvoS0Iy69u7vHa+QXevryItbiuWM5Ta78z4vebk+yA3jjBWEu1HDKO\nUqQC3xMYC9pYisIQeor2IEYvV6bn8NXnmS/NfsR+d1K7p1pyW0AfxVpLlmUIIe6rD/Mwxhh6vR5B\nEHDu3Dna7fa09tLy8jJxHDMej1laWprWWIrjmDiOOXfuHFrr6da4c+fOAXxlHRvHOQ1CCL73ve9N\ng6NfprVmb28PrbULLD0L5NHt8VZvj+3uPuM0QiCnhbytseSFS3d1ng2f7N9mo/P5DdhYj8Fa/rD3\nKc1xkyiL0LagE3cQHH8peryJatIJSJEXGbdbn00fc54MFQQs/eW/ZPiHP1C0m2TDzwtOCs+n9upr\njDfuUkSuEKXz9EpHI7o//zvGdz5D+GUG168hPJ+02WZ09zOU7xFvbVJ+6TLx9jY2GuOVyoS1Gl4Y\nYLRhvLNDtrMFgKrV7tuie1pdUJ5n6ihbsh+l/O5ui932mMtnG8yVfQptwBqkCOiNE5QCpRRSSPY6\nEZ1xytp87ZRH4DgPdzxfXNvscGOnSzX06fYStDEYY/G8SSdEqTx0YRjEKZ5S+L5CCUHrKCvpuPaS\ntRatNb/9rInFUgt9tz39MZTLZS5f/upMVK01u7u71Go1Ll++TK1Wo9lskuf5tMZSHMcP1FiK45hL\nly5RFAV7e3vU6/X7atE4ztNmZmaGmZmZhx7TWvPb3/72hK/om3GBpS8IVEhYDiiHJXzfJ7QenpIo\nT5JmKVE+ZnyUJeA4T7son2QFXFo6jy8DPj24A9JydfUS5U7I9b3PCL2AufIMCIXWOY1Snc+a9wiU\nD1/xlUgpxbvnvk8n6gJQK+3Tj79+n7zz7ZVWz6KTlM7P//MDx1S9DoAdj8jHY0qNh7dwd5zTpMdH\ndZMQmEGXaOMzBJK038eMR8hyGfyA6plVRnfnyIZdvIU5Gu+8OynsbcFmk5u50toq43ub9D+98fkb\nfGGLg1dy9Zi+E2LyeyD0JG+dn2e2GoBlsl0o00RxgaXAWkueG/xwsjgxyi0b+x1u7PTxleC9V5an\n21gc57RZa/n59V20gb3OCGssjXJAb5gghQApsMZgLaRxTm4M4yQj8H08Kdhq9flkq0l3mFIte7QG\nGX/z0TbWgmGStef5ElfT+2QcL2z+7ne/Y3NzE5h0z4rjyfdgay13797F9/1pN65ja2trXLly5WQv\n2HGeU+63/Bd4SvDGymucXzjL+96HdMZd/uzyj/E9n3vdbTDPXH0AACAASURBVH67+eFpX6LjfGPn\nZ8/iCR9rQEpBI6hT9sp4QqKkREmfQCpSIUjzhP3BwfS1SZ5y0J/U07DWMkiGGMz0sXowWY0uyXC6\nsu2cvNLiCqW5OfLhAJO44LfzdCs1arC0zPwP3sUKSfOX/4BXreE36nizM4z2D8iiGGMlWIk2kI1G\nFBpkp0U+HkLbhyxHKolXrU5OXC5hsgyvUqF0/qVTHePz4jgRNQw93n31DO9YS2cQc+tgQKAkhS9J\nc0ORF/ieQmJRnsKXMIxy8qMuoc1BQr3k8/Fmh0rg8dbFRZfl6pyaLJts7SyMYTjOGOUFWEueF+RH\nW96iOMUICDyL70lmqhW01tTCkM92e9RrJeYaIQv1EISmO06pBh5l36Ne8WmPJxlOa7OVr78g54+y\nuLjI3t4e5XKZSmXy8/Z9H601lUoFay1BEBAEwfQ4TGo17e3t8fLLL7v5yPlWtNbcunWLJEm+0es2\nNzcZDod8/PHHBI/ZydkYQ6vVIssyZmdnv83lPnEusPQlQoj7ugRIIR/ZNaA7HjDWKZu9HbIv1Kg5\nHLWOXqcwWmOMcZ0HnBNhrSXOJis0eZ6QFzlREvH+xkc0h01K5ZDf7nzE/uCQYRoRmoLWuIVA4inF\nXHUGcbRCLa2kNWrRGrWm597u71JJyjwqm0kq+VR3K3iemKzAHufgC4E46l45vHMTUyTULlzEf8xf\nVo5zkmSlhjGCZNAj7/QwSYo1OXm/h81zaLaw3Q7kKSYdE9+4TtbtkKc58d3bSGuQRYGamaPx/R9Q\nWb/w+cndzcF3qtAWa6F0lG0khKBWCTi7UGO7PUZrS+gpjJFIAVleMFsJiHNNsx/TjQqqZQ9rl9jp\njOmMEjrAheUas7XyV7+54zwhlkmXw84wItUFUVKQ5YZBFCOEouR7hIEiywrywhBKhZUCFXrMN3yS\nrEJhDaXQYxQXZLmmGobUy5LMGtrjSWbl5bWZ++qVOU/G8vIyZ8+e5eLFi9OtcABRFPHuu+9SFAVR\nFNFoNHj77benx3/9618/VvFwx3mUZrPJ/v4+8M1KgsRxTJZl9Pv9xw4sHW+3NcYghKB6vKj2FHGB\npW9BHmVmjHXEYDREYOkn/enxw34T6SuUFKRpxmete1xZvnhal+u8QH7x2a/pHX0WNzs7RHlEYTX3\nOtv4nqLiV7iwcA6QlPybhH5Ao1RFEhAEHpcXLxCoh3fJsNbSHHWolcq8tHDhgeNJkeCLkJF2dcie\nOCmwOiNtNacPHQeWBr/6R4a/+YDy+Qs0rr42eXrgUbn8CkGp9NDTOc5JijstTH+ILPvT+m7+zCx+\nbYaZV6+iGjM0P/gV0a1P8eqzhKtrIBUqndysCSGoXXkFf2GJYPWsCyadgOOf8NbBgPY45Z2Lc3x8\nr4UvwWiLJSDNcpQvSTKD1paP7rURSmEM/PjyGOm7QsbO08EAtWpAXBTk/YjCWKScfM4FAm0tC9WA\nnSTH8yRSCdJMIzxBoxSglhT9OKNR9tlujTHAfKPMxZVZwLJx2DvdATqOcyKKYtLV9uLFi6ytrT32\n6z755BPa7Tbvvvsupcf8bm6MYXd3l/F4zNmzZ3nppZfY2tr6Vtf9pLjA0rdQ8co0SnXWZlbIdcHL\nyy+xNrMyPT7KYqQU5CZnPz0kzlw03Hny8jynnwwQAlbqS4ySESqRrNTmGcRDEIJLi+d4feUVhBGU\n/Aplz2e2MkegfMp+iasrL1PxH766Zq1lq7NDrVzhjbVXHjjeGrUZpaOHvNL5TkmFqpTJDpvkowFF\nUaCUIlw/R7nfY7S5hbSC/GCfpPz5/8v04JDFP/+nT20nCefFYeLPU8arly+hemMGnQ4ApSuvonOD\nasyjynW8+gzVly4hpKSIJ4Gl+T/5E0prX91FyPluCASeEvSinP/3d3f56G6HMFRcXKhiDCRFQaMU\nEhca35NgJNZO6mhFmcFXk45Zv7i5zz9/a51XzswSJwUzVRfkdk6HMYbt5gCAxXqZzihhMB5RCSV1\nv0JzlCGFoFbykQKw4ElBKgWl0GOjOaBRCQm9+3+Xri9UeeP8ZHuK70k6w5gVl63kOC8EpdRjZx4B\nSDnZEeX7/mO/TmuNlHK6u+pp3L55ooGlq1evzgD/B9AAAuBf3bhx4x9P8hq+zrX9G9xq3mWjvcUo\niVDCQ0lJK+qw2dkiKzSegFEScdhvo01BIANG8efBo8N+C6GgyDXdcR9jXPU+5+TMVmZ55/z3MRYO\nh4e8sXaVQRpjLTRKrqgzPBtz0aPIag2vMIgspRiM2P93f83qX/wlUnl4M/NULpfwpQRPMf+nP0Vg\n6PzyV+jhgHhvj9rXtPV1nJOg0wTpeYw3Nkg7XUwaQa1KtL1Fur0NaYIqhQ/fRv4cbS1/2uei1dkq\nvueRZDntQQYC0kxzrx1Pu2r5UlILPUbpJOvDAgILQpBbiykM/Sjj9v6Yv3j7/OkOyHnhXbvXZrM9\nIs81rWGC1ZbQk/hKcTgYoa3A6oLdzoi8MCglkRIaFY9K6DOKM5JUUw0VrYFmEOdUQx8lP7/Je+XM\nDPDwzk5Pq6d9LnKc05bnOfv7+/eV/Dg8PKTX63FwcDDNXnocBwcHjEYjtre38R8zm1drzXg8Jo5j\nhsPh9L09z7svONVsNhmPx2xtbT1yMTnP8yfSUOOkM5b+FfCfbty48b9evXr1KvBvgB+e8DU81HJ1\nnt1yjcxMPhTSU3iBREgQHiglCbxJ61CJQHqCxCRoUzDORqgvrFykOkUYGKcRw3TMVnuftZnVB96z\nNerQi4ff6IPoOI8SpRH9eIQQgsNBi17Upx+PaA069OMRo3RMPxpyOGjTiwZonZM/Rzdo39BTOxd9\nHa9SQczMove2KdIU3e2R7OwCUCQRwhjEcXHKUpmw0aD+6lUGn3yC1W6ucU6fjiOKYR8jQBQGL/AR\ni4tUL7+M8CZfsCprZzB5Dva5r9n2VM9FF5ZrrC/U6IwTXjk7i+9Lmv2ETGustSihQIBQCik0ClAI\nvJIkywyFLuCofMAoyfjN7UMqgeK18wunOzDnhVMUBbutAZvtEUZbmsOE3U6fwbBgnOUURjNONZ4v\nkSh64xRjBeVA4XsSbSHJC7LcUg7A9xRCTBr/lEoe6/PPfJHup3ouehitNVmWYa2lKAryPCc92jKd\nZRlFUZCmKVpriqIgy7LpcYA0TaePCSEIw4eXgnAcgNu3b3NwcHDfY71ej263i+/7DIeP3x272WyS\nJAmbm5uPvZNAa81wOIkb9Ho9jDEMBoPp5//Y4eEhWZZx7969r6zx/LgBrW/ipANL/wtw/DfaA75Z\nCfUnqF5u8NOL703/+7gr3J8fdYXb6G4hrSXKMoyxSKmYr87QGffwVUAgP/9R+so/2qgtMFaz2d9G\nPmQLZHc84GB0yMe7n3B19eUTGKXzvIrTmH+4+2t2B3t0ky7GarZ7+4zSEb9Xkr3BHqMkht4uH2z+\njsNRk2EaURx17JG8cAGmp3Yu+jqyXCFrt7Eo/JmjFVE7yYo0uUYIgUBgv1hg/SlMl3VeTFmvSzGa\nbEMhyUB5hEtLFOUK4dIy+qg/t792Brm7A/lzH1h66uciT0kCpTgzX2GvFzHZIAdRUqCUZXWuTG+U\nkeUayeSGOys0CIFFkhnDTjdmGGcoNUnhPzNfYcYV73ZOSFEU/OLTAzYO+oS+wgpJdxCRZVBYiy4s\nQcUj8AukUFSUgkBhrERIQV5YorSgMJZq6BElBZ4U1Co+855Hox4SBs98DbGnfi46dnyzPBgM+Oij\njwjDkIODAwaDATs7OwDs7u6SJAlKqUkph60tfN+/r3vX1tYWeZ7zy1/+EiEEKysrvPrqq6cyJufp\ndxyUvHLlyjTbZ39/H8/zOH/+PMvLy499LqUU/X6fK1euPHZAU2vN5uYmcRyzsLDAmTNn2N/fZ3l5\n+b6i9TDpeHj16tWvzEqamfnusyqfWGDp6tWr/x3wP3zp4f/2xo0bH1y9enWVSbrlf/8Y5/kr4H/6\n7q/wQQ+L6h13hRNHpSstUPJD1hrLLNTmkEJxbu4si/X56WuGyQihJq3doyxiub740GLHtaDN4bhF\nnKduu5zzRxllEYXRBF7AcmOJlxbOU9iCbhRwbn6NcZ7gyT7L9XkuLp5Dyknx7rJf5uzcKsoq+sng\ntIfxRDyLc9GjKN/Hn50ja7dI+j0ISug0ZXzrU/Jum3TvAG9pBakSLGa6VcVxTlsWx+SjEWmzeV9T\nSSElanaeYjQ+vYs7Ic/LXJQfZT4qJYnTlJ32EFAYowFJbzhifqZGKfTINQyiyXajw17G3/9+mx+8\nvII2bm5yTk57mNAdxRhridMCKaDZT0BYxmmGkAJrLfUwQCjJ6lxl8rkWikAJjJ3UmbRAkucI4aEt\nhJ5HGHhcWZunEj47gaVnfS6amZlhYWGB4XBIvV4nDEMGgwH1ep25uTkAut0uQgjm5uaw1nJwcEAY\nhtPjAP1+nyzLmJ+fp9Pp0Gq1TnoozjNoaWlpuvVsNBoRBAFhGH6jLm2+76OUolwuUy4/3iKL1hrf\n90nTlEqlwvz8PKPRiNnZWVZWVjDG0Gw2UUpRq9Xuu86T8sQCSzdu3PjXwL/+8uNXr159E/i/gP/x\nxo0bf/sY5/kr4K++dI6XgLvfxXV+G1JI6qUZzs+dpdAFF+fPcX7x7PT4Xu8AoSArcnatYLW+9NBi\nx/f8bT45vHGSl+485xphlTONFd5Yu0qUJXjC45XFS7RHA3ShWa4v8frqVYSVlPwKNb/M+dl1msP2\naV/6E/M8zUXh2lnm3/sx8d3PAIuJhhSdA4pGDWkt0lOYfpt00EEnKd3f/IryP/vLk7o8x3mo0c4u\ng9+9j9UarEEphZqbY+lnP0PVZ0labdLtp6uzyZPwvMxFldBnrzNCG0MY+nRjjbQ5WWHIdYYUknY/\n5vXz84SlAGsM5UBy2I1oDcbsdkfsNkfMN575rUPOM6LkCUZJQXsQTx6Q0BuleL6HrzyMNSS6wOrJ\njVGmDfP1EqGnyAtNLyoQQuJJCJVEY6kEHkszFc7MVfnRy0vPVGLwsz4XBUHAhQsXSJKEy5cv4/s+\nWmsuXrw4zdzIsowoinjrrbemW4cajQZvvfXW9DzHz3nzzTd5//33yXPX1dh5fDdv3uT69et0u13y\nPGd3d/exX7u/v08cx3z44YffqMZSq9WaJsJ8uXj35uYmGxsbwCQj6qu2wT0pJ128+3Xg3wL/zY0b\nN35/ku/tOI5z7JmZi760qF+kCb0//IEsOmoWICTl9QvU33yLyrkLxJ/dBK2J7m0wvHsH3WrT+/RT\n0p17xAeHyHsbmDRDVcrU1s+d/HicF1Kys0lycEj17BqluXmG0QgPiQhClB+QHO5PPp9hgBWKBz74\nMK3T88Cfn3HPylxUaMPG4aR+RKMSECU+u22BFGAtk+5ZQiCERAhYqJf46atr7A4Stg77aA3aQpYa\noiQndrUlnROydTDg/Rv7tAcJaW4ZZxm1kofnS4SwLNfL7PYi8ihD+D6+mNRSXZmvUS/7xKmmaA4o\njrLsSkrgB4ok17QHCbWyTy/KWX2GMpYe5lmZi74JYwwbGxsYY2i32yRJMr3xhs/r3Ny7d49ms0lR\nFPcdf5iZmZn7sp6cF1ev1wOgUqkwOzvL3NwcaZqys7PztfWTR6MR/X6fMAypVO5fZHnULqYsyxiP\nx5RKJaIoYmNj477gUhxPAufr6+ssLy8/keLcX+ek3/F/BkrA/zapC0f/xo0b/+UJX4PjOM7TPRd5\nHkJKsm4brfW0sF/WatL/7a/Rgx62KCY1TIIS1ZevEpTLhO9M6sQJ5U22HAHRjetknRZFt0my4WO6\nnaM3sdTWXYcm58kb3vyU9GAPNTOLv7SMvff5YnbUatL/9a8YXv+I8cZt/FodGQaUXn7tC2cQ1F99\nnWR3G1Uu488vnvwgnpynei5SSlIueeiuZrs9ohz6CAHdQYryBMZarLFIpQg8ixSWwTBDVgMurDRo\n9mOiNAcxySgIqiH77RHNQfT1b+4434G7h332eiOavZhUa5JckxcFea4JAp9RkqG1Aanwj+7RKiWP\nPNfc7cVYLJUgINdQKXuUlcBaQW/8eRHo52Tb+VM9F31Tx1kgx4Glfr//QGCp0+mQZRkbGxt0u120\n1l8bWBJC8N5771EqlZ7g1TvPCinltMbR+vo6d+/epd/vI6X8ytpJnU4HpRRFUbC6ujoNEG1vbzMe\nP7w0QK/Xo1KpEIYhi4uLk+xvpVhYuL8ZxurqKrVa7bsb5DdwooGlZ3mCchzn+XE6c9Hjf/H0/IBw\nfo6k08EUxTSwpBozVM+fZzjoYZIUhERHI/LBAL6wwlHEMd7KGo03XsevVom37qFCn/LLV/GkINrZ\nQ4/j73yEjvMw5bUzpM0WtUuXSHe3UV/Y8+/XG2TDEXma0Th3jmB+ARWGCGGxecbxWlz53AXK5x6s\nVfisexa+F1W8BzvWCDVpEpBlBYGaZDFpDa1hjlSCIPDpDcbc2h9Q9n1C4VEKAwZxAsoje/6LsjtP\ngTwvGI4T2oOEXlJMswisEVgE0k6y8YJQUfY8yr6kXg2Yq/hsNYdoKwkDyfJMCSEsc/USaW4Yx+l9\n7/PlLSnPomdhLvomXn311WlGidZ6Wpfmy8W5kyTh1VdfxRhDURS89tprDzsdMNlqNB6PyfPcBZac\nr/T6668/EPD5omaziRCC1dVV3n333WmR+SRJWFhYoF6vP/CaO3fukOc5P/nJT+4r1v00zT8nnyPl\nOI7zIjreuy8fr60oD2s/KiSyXCWYX8QC1hjGt26x+W/+Tyory8ijFbr8cI8iSVn8i39BeWYGk6Sk\nzQ7hyhmUhGhn77sZk+M8htLqKo3RiMrZM6R799cg8IIAKwRe6DP3g3fwF5eJN+4AoOMIWS7jLy2d\nxmU7R45DQGuzZRqVEp1hgn9xnv987QBSGMUZBomxBolCm5yDTsS//3CLw15ClObUqwF6aCgyg1AW\n33t+tjM6T59xnLLdHrPZGvFZc0hUGAQGbSy1MKBaViglscaS5jkGsAqGSY5Uiv1eTJJrPAmztTLV\nQHFoLcuzFbLccGAtYRjw9qUFPOkxV322t8GdpjiOvzZLyBhDr9e777nNZpN2u025XEYpRbvdJgzD\nh2aPaa2JogghxHS7EIDneVQqFVZWVrh37x55nrOysvLI6+h2u4/MJnGcvb09dnd3/3/23vTHriO9\n03wizn7XzLy5M5NkcpNUJakWVbnkqnbbsI0eYID5H2eA+TDzoWcGA7hhD9oub2WXu1RaSiVRC9dk\nrndfzr5EzIeTvGSKSYnUSpHnARLgvfesPIE4Eb9439/LYDDg3r17+L7/2G2HwyFBEDCZTLh79+5c\nWNJa02w2eeONN87cLwgCtre3nykx6WEqYelLotGMwxl+EjAOJzT8B07wfuwjJMR5TKpyZpHP0B8/\ncoxJOCPNc0wS4uzxVT3TLCVMz44uaDj17ySHsuKbJc9z/CRASknLe6BaT8IZWj+aezsOpgRJQJCE\nzKKAcTBhFgVl+wym+Ce/+fHJ57hMQ8iLjGk4I0iq6JVvA9N1sNc3v/qBhABDYjXr6MmMortHMBvh\ndsrqlOHhASAJjrvoIiOZTcijkDQM8BplX1VUz7ziGyINQ4r0wYp+sLfH7MYN5PIK4XGXeDLBsCOm\nd3eRXh2dJuhc0f/df5TpnXFMcLiPCiMsz8PwKpPnZ4G1dp0rW2Uf4/sBb98coguFYYBSOVsrLaZB\nwjQEP8uYhBlhmhOlBf1pTKELCjTDIOTfPzwkCDOubi5gGJKVhRqLdZe0ULTqVSRAxZORJCk3jqZk\neSkm3JcU3r3TZewnzMKYgZ+SZgopBKZpMAwCpqEgVwrPNNCAIS3qjkmWQbvu4lowEwI/zTjo+QRN\nB9MwWGm5JGmBbQpcy+RPrq5jGJVI+mUQQmBZ1hP5GmmtGY1GmKY533Y6nTKdTjk6OkJKyXQ6Jcuy\neZTSZ/fv9Xr0ej263e78+/uV5CzL4tatWxRF8cicyvM8tra2kFISBAFRFDEajb7QQ+dhms1mNVd7\nzhkOhwyHQ8bjMdPplMPDQyaTyWO3932fJEkYj8fcuXNnnpkAPLGZ97NI1cq/BKYQgOaT3i36fp88\nV9ybPliFvTPeQwgI0oAsS/l4cBt9RvDBwB8xDMfMpM/h9WO2FrfYGx3iJw/U8DRPeeve+xTq7A7M\nNmze2Hqt6rCeI5RS/H73D8RFOTHbWthkp7PNx8e36Pq9M/eJ0pjD2TFJluKnMT2/T98fUugcIQR7\n4wNmcYgeaiQSrcEQEiEl7x1ep1NrI4TAoBogfZPYSx2sryl8WpoO3sUrmP0+WitEvcHCSy+TDIZk\nwyHJYIj/9m9JvTr5eEh0dEgexqRbW6TjEek7vycLAtb+9Fdfy/VUVACER4eMf/dbODG6zYMZo/fe\nReQFo3/4/8gmE5hNUFLS+3/+K8I0KCYjJIrsaB9h2EjDoBiPEFJieB5U77dnDtu2qNuSJDNwrXJy\n/ic7q3za85mGJymMQuI5JmGSYEqBEIK6YyGkxTDM+R+3hvyPW6Xnm1A57brLUsvlz15ZZ6lVRyvN\n+lKtGt9UPJZbRzPu9GYEccbEj+k0PRzHZOwnTGYRUZJjmRKhQRqSyTTGsS20AlNoCiEwpSwFKaFJ\nleb20YimYzIOE5SQ0IBGYbO9UmdzqUGaF2TdGddORNGKL4cQgh/96EefO/m+T1EURFGE67rzVLV+\nv49lWZw7dw7TNL+wn/A8jzzPybIMIQTj8Xg+ub8fEaWUoigeTdPd3d2l2WwyHA6ZTCZorR8xXP48\narUaP//5z5/ZKJOKr879ioJLS0s4jsOlS5dYWFh47PbHx8eMx2NWVlZ45ZVX5sKSEOJz93vWqd7W\nX4LNhQ3qXg3LtNBasbGwykrzQR7lOBwjDBC+wLYmbLaWOb907pHj2KZNkEcEqU+YxBxNDvjItmk4\nD0U/JQEHk0NM08SzPPrBEH3iTRCkMUopbhzdxLEebxBW8f0izVLGyQxDSpTSXD/4hKXaAgN/hELT\nqpUD7odJiow4j9FoRuGA7CQCzrZtttvrBEmEgcFyY5GtxU2kFDi2xf7oiI32CquNZdpeC9u0z7qk\nimcSjTDteQRU/drLNK5cxZtOCW5+ihFG2CtreK0WqRTkJyG5yp8hspR40Cc5OqAII0xDkEdlmzHr\nDZZ++atqMlfxpUknE+L9fdLZGIoc0hQQWAttKDJ0niClSW1lGXt5hTwImB0eYglB7cI2tatXkLaL\nsCzs1U1Mu3q/PYsYhsF62+N4GoPS3O77pGmBY1ss1Sx21hvc3B9Tdz0sA5ZaDhM/p1Aa25JYJ07J\nWsE4zBgGKfd6Mz7eG7C+2GBjscmrF5b42bX1U+d9uKBBnucoBbZd9VcvIq1aOWbpTUPG04iDYYBj\nGcRxxjTK8NOMJM1L4Uhr6q6DYxusLdYZ+2W/5BqSRBU0ajZhqjCE4t4gZKFhY0jJRqfJxeU6v3jp\nHOuLHgAXV1pIWYkEXxXXdZ/Iq6goCur1OvV6nZWT1Og8zzk+PqbdbrOxsYHruvPJ/VlcvHiRNE3n\nn2/dusXx8TErKytcuXKFO3fuUBQFV65cmQtAk8mEwWDA8vIyy8tl0QilFJubm9Tr9TPP81mOjo4I\nw5A0TT/XzLniu+W+6Ph5JElCkiREUURRFKRpOt8vyzLSNKXVaqGUotPpzNvMWdTrdcIwnKdiGmfZ\nX5yBUoogCGi1Wk91f98W1Zv4S9BwG/xw4xqu6ZDlGVc6O5xffiAcHU/6CAOyvMCSJputDV7bfNQM\nrmU3SfMEBNzp72FIiysrl1ioPWgs43BKnGdsLqxiGw5G7xZQmmaOoymz2KddX8Czq9Dx54UkS0lF\nQdOt48cBpmGy2FwkylMQmvX2+iP7+EnAMBiTq4y6XWettYJG45kuL69fZRjNUEqx3lrjR+d+gJSS\nhtUgL3KuLO+w06mqg32vMCTSMglufAJaoxGk0xnR7ZsAFLMZRRSRdLsQBOTjIXkcYy8sISwDa22N\nIvQJDo8Y/ubXuJ0VTMuiyDI0kIc+C2/8nNrK6nd7nxXPBGGvS3Tr1inviiwI0PnZBsyzw0Pi3TsY\nWiGQCNvAqDXI4pxoEqLTHKvmsPif/ozmD35EcHiI+qf/jvIDGi//kNbrP/22bq3iK6K1xjIEUgqC\nJGMSJigFvVmE3lVMsoI4KUAa6AQEkjRLMYWCXIIEiUQaJo5QCAFpBreOZwxmCYUq2FlrcTAMaLg2\nQZJxb+Dj2iaeZTIJYwoFr2wtsrPe/q7/Oyq+BaI45aP9CVlekGQZN/f73OoG+GGGZQmKTJMpRaEV\naaZxbQN0Wb0pKxQd18WWAss0mMx8UssijDJ0UeBakmGsWV90QUoEgpUFm9d3Vllb8ObXUIlK3z5C\nCHzf51/+5V+AUvTp9/vMZrMvTKU7C9/3ieOY2WzGZDJhOp2ilML3fV555RWWlpbY39+nKAq2trbY\n3t6eRzNdvnz5THPls4iiiOFw+MUbVnxnTCYT3nvvPZR61GrkYQ4PD4miiLfeegvDMOZm7vfbYpIk\n5Hn+RNFs9z2VLMtCyieLfLRPCp+8++67vPnmm/PPzxKVsPQtcKN/B9N8NF9yGpURBFJKHNthwWly\ncWmbTmNxvs3AH3E0PWa9uUrDqePHM15aucqllfO8s/c+B+Nj/uzym7S876asYMXXT5iE/PrTf2O5\nuUR/NqRTX+LNnZ/yzzd+S5RF/PW1//yIst2bDfnt7bcYRROurO7wy52f8bu779IPBmd6MlV8v7E6\nq9idvJSYi5xkFkA4g84CAiiERklNdLBPapiAIp9MyKWBSsoUywIDnaYopbC3XMzOKumgS9LrkXSP\n8a9/WAlLFQD41z8kHz0YGPt799D+9LHb69EYoRRmq0F9ba00rDcskBJVdykMjdfpYK6uk/g+qT8h\nm8yqtJLvGXmhyXJF03PYWGxwPAkwDYkQoJSkGyRoA6WSuwAAIABJREFUDbnSpIlGa1Cc1CWQBolW\nyMLAs6HmWjgS2k2Xu0dTTKVJC83+wOffPzl65NxBnBImZUqLRtOfRpWw9IJw53jGwagcP98+HHOn\nF5BkCmlAlgNSkyQFhiGwbRPLMvBsgyjKcF2bVs3Fcy260wAlBFmusCwT0zTwPAthSGq2RZoXtDyL\nnZUFdtaezeiAFwXDMNja2jrln6SUmkd8PKnI8zD1ep0oiqjX6zQaDer1OkmSkGUZ/X6fpaWlr/MW\nKp5hRqMRSilc16XRePx8OggCTNOk0+lgmibD4ZCiKPA8D8dxSE7G147j4Ps+hmGwuLh45rE2Nzcp\nioJXX331iVMkr127xu9+9zvyvKxwWQlL3zM0mr3RAaZh0pv2mMYBUZLQm/W5N6jTn/WZhDMOZ8c8\n3CZG4RgpBUrlGIZkFs+4Pdg98xyGNKiZ9tNUIseQEnnqTzyx2lnx7NCdDkjOMG0Pk5hp7GMaklns\nIxHsjw4ZBmMylXEwOUKK08975I8ZJzOCLGIcTU62HzEJZ+xPuqWX14mp997oAIHgeNpjEs7oTXuY\nfHEIZjkpqESqZwGz0aB25QoLP3wdtGb4b/9M3B+ALrsS0zLIMRBxBKaBSss0SSk0Qpx0NoYCy8Bq\ntqm99hrW0jLG3QZms10aL5/hM1DxgqIKpCFZ/su/RilQf/c3oFbJgqDMYwK8jTKSMhn0MWwLq1XH\n6axiNmoYjod7cQejXmfw238jGwwQjsvoX/8VhCCZTMjHA4zOCkazmsA9y7x7s8dgGvPyVosoSfFj\nxU69xsqCx0LDpj+LaDc8Zn5MlBWEeU6eFlhW+c6K44LFhoOQsNaucTgOKQqNQJXRuQ2HadMlDDMy\nDd1pzPW7Q6I0IVOSjYUa5zoNpBSsLXhc3V7iNx/uf8f/KxXfJtJ4MOAOkgy0oFmzSZOMKCmwTAPh\nQVGUIxbXNiiyghzI84xZmBAnCX5YVoNbbDistj1e31lmdaHGzYMJhhRl1oFpsNioMgKeBS5dunTq\n8+HhIUIILl++zPb29lMfL8sykiRhfX2dn/70p2XRnM+p4lXx/HPx4kXW18uxTBAETKenF9C63S5Z\nlrG4uIht2zQaDZIkwXVdRqMRcRwTBAF5ntPr9RBCcO3aNRYWFuh0OnMhCph7et3f/knRWjOdTjk+\nPn4kjfQs4/pvm0pYegymIQHNh91PAJjEMwbBgChNudW/TZAFjKMxR7M+uc7pB4P5vvujQ6RlkBcF\nRZFTc2q0vMfk4mo4nvWZJT4L7tMr7hXfT/aGB7x38CFnKYpJlnA0OybMA6aRzyiagIR74yMUOX88\nug6cVrenccDxtE+mUuyxRAC7wwPCLMTuWnRnPabRDDmVuIfXARjMhvTCIUjoBU8epmvK72+1gu8E\nw0IaElUoxDdR6UEImj/5Gc7B3rw5GYbAXTnC3blEcu+AfDYh7h0j0hwdJSSjAVoXSATSskgPjsu/\nfheV5RhPYUpZ8YIgINo/IA1D0tGQfDrFajQRhoHZbqOScmCU9keoNKOIs7L623AIUlDMZhhLHfL+\ngHwyQrYeRJfU1pYh9Gm+/BL1i5e/qzus+AKyrGD/JFJkbxDQrDnUPU2nWeevX98qB7xRxihM0ArC\nOOUPuwN2u1McQxKmim4R0Z9F2JaBkJJZnOFKQVRo/DBEi1IQECiEAmHAOEiYxiktz+becEZ3FuFa\nJp8cDDmeliXEK1PcF4fL6y3e/viQ/bHPncMZhQArKysOIqHQAqU1Wa6RBqhCYxgSGw3CIFOKTJWV\nl9JM4ToGawt1NjoNmq6FaZZtSQiBqNZsn3lGo9GX8i7yfZ8oiphOp3S7XSaTCWEYYlkWo9GIbrfL\ncDhkOp3OzzGdTgmCgG63SxQ9Wll3YWHhmYwiqXg6lFK88847jwg+x8fHxHHMjRs3MAyDo6OjeSpc\nepIBYBgGhmHg+z5hGKKUot0uCyQ9bCdweHhIHMfcvHnzif2VPrvfWV6oQoinOt7XTSUsPYYfrL/E\nYm0BVZSrsUd+lyANccyUut2kYdfxkxhDmNTMOg37gXBkmjYSAVKDlnimQ9M+O7QuzGP82MePfQbm\nlN3BwTxFDkqPpUEwwTEdJuaUQTB+KmWz4tmkrPynWWl2WHRPu/+HScIsCbFMkzjNcC2Xhl3HNS2U\nltSt+iODaFXASmOBWRqy2lzm2splilwzSsbsrGyR5DGGNlitd7i6cgmBYM+qoaVge3GT9caTpTwJ\nKVhrPt6MruJRrFqdzl/9F9K9e9hbT7+q9qTnsK68NP+cTycUhab1xp9ivGky/d1vETduzH83TEHU\nG6MRiCwn7g+wmg2EW0OImPjwgLjXY/LHP2C0mjQu7NB8/cd4S52zTl/xApAMhhQfvE8eRWSDPlaz\nibu2QfOlqyAeDCVqO5cZ/f4tHF2w+LNfkIxHhDc+wd0+j7d1gWI2QUhwlpZpXLqIvbpOoSVFnGEt\ndqASCL5XyJPndT+NcalpsNR8sIp6PEk4HM7otFyWlWISpmQiJ05z/CCiyBWBhgKBFDD0E/K8QBcF\nUZzTqDvktkIpzSRKsQ1JFOWcW2mitSJJc1zHQhdVNO3zSH8S4Ufpqe9+c32ff72+T4EkV2WYru0J\nlpseltQkqSZMTWakaK1xXBNXanQiaXgGPzxfjmF604ipH2MAw1nIWsMhzKt29H3h/qT6fpn3p+Xo\n6IjZbIaUkuvXr3N8fDyfX4VhSBRFTCYThsMhWuv5eSaTCUKIM310HMfhzTffrITu7zn3Tblt2z4V\nDae1xvd9Ll68iG3bRFGEaZpzIckwDK5cucLi4iIHBwccHR2xvb3NdDqdi0qbm5t4nodSitlsNj/W\n0zCZTLh48eKZgqrneXied8Ze3w6VsPQYarbH5eWL88+madKd9QmMmIbn4acBcR5T6JwkT/DTYL5t\noXMKIFcZCAg/8/vDRFnCNPXx0wgz6PFJ/9NHqsL1/B5KF0hp0PP73OzvcnXj0pnHq/h+sb2wycZn\nzLjDJOSj7idM0ylpkSAzcdLeMhQ5QRbw2YglacBSrYNtWKy0Vrm6dolxPMOYCXYWtjkaD4jTjJVW\nhysrO2UKpTAIs5Cthc3KvPsbxvJqWFdf+uINv2aCmzcwvRpyoYO3nZIFPlJIsskIISQqiikCH52n\nSMdG1uuk3SPSfhfRaGG5DoU/I6k1sXbvVsLSC0B4fEQ2Oh1OPb1xi+CT6xiug91sYtSaWAuLuOcv\nUGCeCrwUtoPRalFMRmgEWgg0oDQUSmE2F7DiCLuzSv2V1zAsm+Dw8Nu9yYqvjBBlCr5SCsN8/CRK\nKYVEYgBhfhIJIiWOIcm1QAjIVI7QBoZlUChFVmhAYrk2k2lU+ufIMoo8k5KWZ9KbltECcTqiVbfR\nq1XE9/ed/f6McZDMPxtobvUCNJooyQjictJ/rzclV6W3lgC0KKOSslQxilKEEERJhtIaU0o8y+SV\njTbv3h3S8lz+5MoaaZ5zt+fz4Z0+kzjnpU6DTIPxkCDgOSa5UtiV99szydLSElevXj1V6e1piKKI\nKIpYXl7m/PnzRFFEHMcIIVhaWmJ7e5t+v48QgvX1dVZWVuYWJFtbW4/4Ou3t7ZGmKUVRVFV1nxMa\njcYpYWkwGCCEYHt7G9u2OTw8JMsybNumKAosy2J1dZX19XWKoiCKIjY2NgiCYJ4Cd+7cOer1OuPx\nGCnlXGh6Uu6n521ubj6RSfi3TdXynwLXdNhZushCrexM9qdH2IbkUucCKw9FccRpAgZkeUpe5Ox0\ntrj0kEj1MEEacTQ7QmhYrK9wdeXyGVXhcs4trODZLr1Zj6R41Jen4vkiK8oBlGd7nGtv8Mr6NaI0\nJlE5L61dfcRjCUqp6Y8HH3/LV1rxLCJOVj+S3TskD32vhkNkZxnv6ksUWmEIibW4iFlvoNMEoQpq\nm5tk/R6YNla9RjqdIes1nHNb383NVHxrJL7P+D/+HbQmODhEp+XkPTnuouMAhEI0mpiOiXBrRLt3\n5vtqrclnPkorwr1ddByjhSQPA7Q/xRCgwhAAo7lw1ukrvkcIIbm01mISJmwtPr7sdq1Wpv92pwlC\n5TS9shJOvWbQcCxmUcbYz0nzFKUKbGlQb7hkqiBOUmoNFw04hsRzLfJc0aq5ZEqRZgW2aSK0YBYX\nHAx8NjtVIZPvI36U8N6dAfohlXr3aMLGcoOlhsvhMCBJc8Z+SJpD23MY+AHSKIXtJCtIxgFpUYqU\nCIVG06p7SAmjKCHJc8Ik5dPDB8J5w7UZBilRkmNL8Go2L20tESYZmwt1DClwrO8uraTi8RiGwblz\n5754w8fQ7XYZjUa02212dnbo9XrzqJP19XV2dnawbZsgCNjY2GB7e5skSVBKsbOz84iwNJ1OnwmP\nm4qK75JKWHpKFr0WO8tldIfSimk4ZaO5zvnlB53brd4uwii9cizRZbWxzKXlC2cebxxO8cwasZWy\nXG9xYWnrkapwh9Mj1pqruJbLZyNVKp5v6nadtWbZfu6NDojziJ2l82fmz2ZZxvWjG2ccpeJFo/by\nD7CXOihVrpDEt28Rj8ZgWxj1Ou0rV5F5gcpTpHU/lLYc0Au3hpAC6dVov/4j4uMu7Td/hdNuz1dc\noKxmWYV7P19YtRr26irBrVuoaZlaIIQArRCmhdVq45zbxmo0aP/0J0ApKGmtmX38MczGGKL0+NIG\nSBRuqwGtBvVLV/DOX0DaNrOPPiafTL7LW634GjBNSaflYX3OxPsXl1aI44zepBQpvSgnySaYSF69\nsMJbnx6idYEAbNPAtW0WGjbH44C6V5aBX2y4LLc80BppSC6ttbl5PCHLFD+5tIhl20z8mCCKKQrv\nO/WXqPhyJFkpBC00XK5ttLm+NyZVmiwr8OMMgMOhzzjK0IWiUbMxTZMsV9iWpMjBcy1qmMRJgTAN\nDGnQcm3W2zW2F132RxHnO21eu7CMPolmmvoJHx2MQGv8uGCxVeNKVV2woqKi4ktRCUvfIHGeEeQh\n149vMMvOToULk4RhNMJPHh+F1A/GDMMJAuhO+2il+bsP/onD2RGjYEqRK/708s9YaValMb/vHIyP\neefu+9wd7aN1jhCCOImZhD43erco0GglEWcIjErnfHx4E9d1mYUBd4f38GOfNEu43d9nEs8IspA8\nzUFICl1GRVUVBZ8/TMvGPPcgfFeFMfFojDAfMg8XgtZrP8bbOk82OCafzfBv3CTtHZOORhClhHd3\niYZ9gv/zf+dhF1MpBUJInO0LeBsb1HYu4baqwfj3HSkly2/+itrVlxj/6z/T2N4iTjOO//a/UUwn\nRMM+SmnMeg2NotCa8M5tdFYgBOgiw5AmKklL12WtUNpAGpJoOCKZlv6Bwc1PKMIQLQHDgvzLpTJU\nPPvYtslfvraFn2RopTENwf/6Dx+DUpxbrHGj7jEJcgpVYJmS5bZDkJTtKEhzlNLUHJMoVaRFjio0\nvUlEmOQUSnPveEKjXorj79/qsrna4sr6Iu2aTc0zubK+UAng3wPkySMa+zHX72lmcRlrq9CMpgl5\nromTnOykr/GjhDjNAU2WldWRk6zANA1qNRMDSbNuI5XmcBQSJxltzyLXBe/f7c+9waZRimHAwSBA\nGk9RnrmioqKi4hEqYekbZBZNCeOIWeQzDc4uYRnlMXGWAJqW02Kx9ujkbBxOaHtN6nYdx3ZO/iws\n00QYEBcxe6P9Slh6DtgbH5CoGENKpLDQWmKaJo5tYRgmkgLHss4cKBeFwHFtXNvGsS1cxyEnw7Ud\nXNcmVS6O7WLb9sn+FpZpsVyr2s3zjnDK1Lgi8GF5ZT6K9z/+CP/mDcxGC2txgbTfZbZ7h3BvD2Fa\nqDQlD3x4qGCAt7IEXgOVZ2TDPuFHNXSc4P7ize/k3iq+XqaffkJw9y7hwR4qz5jduUPWPUKnGXma\n4Sx0ECcRIflgiFQKwzYwPA+Vpagsx7Xb2EsdnPXNM824LcfGyHMsxy4FKMtE2CbOxpdPa6h4djEM\nSbtWij9FoWnVbHpjn//+3i6qyBBSkOWaySxBIvCTHFOWlXWzTHGvO8U5Se8tNCcmqKr08DpJ6ZUG\nGJZFlCpmccosLsVKVxpsr7Ued2kVzwjtusPVzQVuH02I0hSzVKrZ65fps2hFXCjEybsrjBWmNFFo\nLFvgWCaWKTGlxBICyzZYOIlqEpR+SUlW0KmX7ajh2SCg7lnYpsH51SaqqBbZKioqKr4KlbD0TXIy\nnr6yfJE/u3r2pKus+jZEF4pfXn7jsdEjtmXwo+0fsDva43x7kz+/8qe8s/c+rrlLUagzitZXfB+5\nXzVgo7VKqhJsw+XayiXe3PkpIIiziD+79IuzU+HyjCTPWKi3+dOLb/DW7h/ozrr84sJPUFpwJLtc\nXN7mP19+81Q7q1Zzn3+c1dIgPpuMyf74PtOPr5MN++hCo/NsXlFJoCiSDIREWBbO+hqusYU0JHa7\njc5S0l4X7+IO6aBH1htS5CnuZuW/9Dww+uCPRDc+IZ3NSEdDpBCkoyE6z5AScqURroO1toEWGmd7\nG2e5Q/v1H1O/eInhu28T796l86tf4nTWHn+if3XJRyOW/vyvMKyHqqFUfdFzz+3ulDzPiRJNUmSE\nUY6iTMRVCMZRDEpQkJNmCj9KadYslj2DuueA1myuNAjjgqORj1CKjcUaSVEQ5QVCKVzDYBrn7A+m\nHPRnnF9tI6VgZ63FlY3K3+tZRErJtc3FeRranaMJwyBmfxDgmJIwKlCFRmmNlGXBEq1B5Yos17Q8\ni+ksYnWhzsWNBeq2iWVJarbF1a0lLnRqXN8bszecAfDLl9YxDEnNMrl9OMWQBlQj6YoThsMh9+7d\n4/j4mNFoxNHREVCaN08mE+7evUu9ftpb7ujoiOl0yp07d06N0Q8PD5lOp+zu7j5i6u04DqurT1aV\n+T7fdTn5ipI8z+d/UkqKokBKeer7h//uW0k87vcn5WFLimeRSlj6FjCk8dhOwDAMpJAo+XQDaiFE\nJQi8IAhx8rwf/vcZz/7h9LjPaxtV23nxkCclSe1mi2QyhjzF9E6qSWiNznN0UZANh+i4LL9cBAH+\nR2UlMAB7aZnm1ZeQlo3OFdbSCtl4hkpj8mD2Hd1ZxdeF1pro7m2KOKYYjxBKk02n2J4LtQbkCa3N\nbRrXflDqP1pDFAGibCMP9ymG/WQiUdmhfVO3VPENMw1SojSn7T15qeRJmBCmBZ4t8LBJc0UUpTiW\nSdOzMA1BoTRSCqZBhmub1B2LZt3lXLvGX/14m3MrLd65fcx//ZcpmYK7Ax9DCiZBwsi2idIcJQRS\na2q2S64UKLh5OGZ7qZwMmqasJmfPAEopsqycKO12x/zL9WOEgKZrIdGoPCdWBqMwwzAkWZ6jtUDr\nMvDWkBLLkBS5QiCRQjIJYiYn7hOmaXCzO0EKQZJqzi25NGpPV9q74sXh/tg4jmNu3rzJZDKZV+8K\ngoDRaMR4PGYwGADle1OpcmFuNpuR5zmj0ejUGNv3fdI0ZTwen9nnrK6uPmIE/kVcvHiRCxfO9u6t\n+GJ6vR79fn/++fj4mOPjYyzLYjQakSQJBwcHTKfTU8/y9u3bpGnK3/7t3xLHMd1ulyiKMAyDLMvw\nPI933nmHVqvFaDRiOBwShiGDwWAeOKCUwnEcDg8PCU8KmliWxZNy/zjP6jyuEpYqKioqnnNUliEQ\nWKvrWCfRS/Pf8hwV+ugiQ6kCSy6SDQYolZdSZZKgspQkiSAKkfU66bAcVCl/ShbHDP/wB6xOWRnT\nXlysSu1+j8jzvPTUOiELArQuMF0Hs14nj2JEuwW2RfPqVdylBRBgeHWs1VWk4+Asf050UsVzidaK\nw1GA1pqD0dkekmfRcG0Wai5jIC80niXJM4M8U+RZRqvWIEpSlhoOcaZJipw0K6NVcjTHEx+EojsI\n6I4jskJhSEGea4QoyLKclZZNmBUkicKzLabhg9qY//d/3ALAFPCjS8ssNFwAbEPSbjx5yeeKr85g\nEvLWzR6F0oxmCZ/udzkchQghOb/aQCvJLM5B5CDK9DW3MImiHMsRWKZAFSBNTd2xuLzeYrHp0ao7\nmEIwChLSVBHkGXGcMYsLXIdKWKp4LLZt88orrxDHpe9tr9fDNE02NjZYW1tjNpvR7XYpioI0Ten1\neqcEg/ul5x8WkJRSWJaF53lsbm7OBYEwDPF9H8/zaLefzKNSa81kMqHf71fC0pdEKcX169fngiDA\neDwmDEOGwyGTyYSDgwMmkwmWZc1FxPukaYrv+0gpsSyLLMswTRPbtvE8j06nQ61WI89zkiSh1WoR\nx/G8nbRaLVzXxfd9hBA0m00cx+FpqNfrT73Pt0U1+v8WGAVjbvfunfmbn/j4aYjKFbd7BzTc0wOb\ncTglSCLcyKY36RNmMYNgwu3ePXqzAeNgRl4UHNv9x57js9SdGqutzle+rxeRIA7ozUanSuJ+GQ4m\nPQbBhP3xMXGazb8/nvYZBFOSPKEgJxMF3Wn/5HkPSYuUO4M9pHg0ZTIrMgbBmEIV5faTHoNowu6o\n+5WuteL7j+k4NF++RvLQCs19oru3SMdjVBhhOC5Gu413bptiVkYhaV2QHh2SZTmyXsNqNBAn7S/O\nE/TEZ/IfvyG9dxuEwFnboPZQCWCrs4xZL0uAG80m3vLK/LdndcXleSTPcya/f4siOi0C5GEA2UNh\n2FohbAe7vYDdWSGZTojSGHepA7ZH/ZUf4iw/Xeh+xfPH/WqAACp/9H1483DCXt/nJzsdWifiDcDV\njTbri14pFKmCD+6M+KePDsmmYemfhGJ9qYHrWNjTGMcoh6mDacQ0Sjka+jiWSaEKaq7F0I/IMz3P\nYrIMwc3DKSsLNVxXY0jJ1M9OXVtSFGR5QZAVZbW5E14+t8TljaoIwTdNdxxwOAzZG/poDY5pYpqC\nZt3DMCxMKXhlu0OaZvzx3hhDSjrtGkmScDQNsWxBlBW4wsJwJJ4taTsWpmnSadd45dwii3WH//i0\ny/EowMVEWUBcIKl8lCo+n07n9PxoPB6zsrLCuZNxzcsvvwzA3bt3cRwHx3Go1+vs7e0xnU65du3a\nqcW1vb09jo+PWVtb480336RWK6PFj4+PuX79OhcvXuTixYtPdG1FUfCb3/xm3vdWPD1KKbTWeJ7H\nD37wA6B8Rvv7+1y6dIkgCBBC4DgOCwsLrK2dXjhzHIejoyM6nQ5xHNPr9eZC4s7ODq+99hrAPCXy\npZdewjCMeQrba6+9Rr1exzAMBoMBr7/+Op73/CxqVMLS18DH3Vsc+b3556RIcA0HKQQauNG/zf7s\n6Mx9syLncHpEluf8/ce/xrFPK5BREtH1e8RFSJLFDIIhYRSQFBGzxGeazMiyjK7f587o7ql9LcNk\ntbF8Ruil4BcXfspyZfb91Pxu9w8E6dlG7J/HLAkYBRPuj35HwYQwi+gHQzzzwepZbzYkSAO0VpiW\nBRr6/oD9ySFH0y5CwjSanClrKaWIi4Q4C5BSsDs+IMxC7o7uYkqzqv72IiMEjZd+SOOlR38aCoGs\n9/GuvIQwwVlbJ/7oQ9ITEapII7IgxNZgdjo4nVXMhQWELlBFRtobIAUUcYjp1oj29jFOBKMiV7C7\nh7QMzJPB1PihkF/Ddmj//E9w25XvyTdNfHREcnQAQBFHqDgmD0qRyWg0MF2bPIooUOggxDoZ6AgB\n7vom8uS56TQ5+wQPUw16X3iOhz6G1IyD5JSwJKWYG3l/vD/m46Mhk1mEgeaNqyv8/No5zi/XsQzJ\n//aPH3E4CBkFMRpNoaA/zchUDEKQpSk1p0x9Q5UecVGWY0jJLEwxJbxy7iQ1Tmtsy2St5SFNg93e\nFM+y2FqqkxTQmwTMoqo64TdNfxLxuxtdZmHC3e4UQ4BtStJC44cJhmEQZ4pP7w2YxSnTWJEXCj9O\nmAQphmkgdAEILMMgLXJkIejNEiZxRs2xEMDOWov+LGQYprQ8i2bNQQHNp0jbrKh4EnZ2dlhfX0dr\nTa1WQ0r5iI/p/dSqDz/8ENct+8PpdDqPjKr49nFdd56C6HkepmlSq9VQSmEYBp1Oh62tLV5//fVT\n+8VxzGg0wnXd+ba2bVMUxVOltD2vVMLSV6DlNpDCIFUxPf9059ByGgRei7bXwnHq1JzamcfIigTT\nsEBLXKeB9xlhSSExpIlhmLimU/o1mTY1p0GicqwsBUPiWg41p/HI8Zeby6y3HkQIHM6OGAdTwjT6\nGv4HXiy01sRZhCENrq1efqp939n9IzXngdFfqgpyFHXbw7UeKNVuHJYllXWBeeJO6VguNaeBbZYp\nAN4Zz/k+DeD80joXFrdLUSqccGX1Eg2nzvWDT576nr8MUpo4RllxruJ7ghQ0r17FtG2KPGXcG6CV\nRnou0rRxzm0hFNQubFPMQrJ+n+juHVSeYi60MRotpBSE+3sIz0OJLcyaB0laptklAnNzDVMaqLxc\ntSnCkCLwSQ4PK2HpS6KUYvLh+xR+OP9OCIH0XIrwdB+fTct0N2lbaBTSdTAX2hRJStrrER+HiCKf\nF50QUlKcDI6laWAtLKLzzzeNFLJcxAg++APOf/qLx/onqbSawD/v/OLl9Uf8/LIsZ38YlZ5HwJ3j\nKVmuyApFu2byP/3kIisLD96T1zaXyDJFkKSkeYFGUWiFEGCZErSNY0k8x0JKzSxM0UKQ54ppFOPa\nJm/f6tFpuifXkXA0DHnj8vI8UilJCxZbNrvdjGmQcDx+dOFICsFyq1ZFWH4OYZzy3p0BR8NSrO77\nMQLY7tSRUnA8isgLRZhmFBrCJGcWp+RKYJ54jMaJwjQgywuGQUpRKArKqLMwydBaI9C4loUCpCFo\nOC4rTZveLKVmyVJgFAIpBUWhybKc3LFYqBukysKyHn2Grl1OhUyzer4vIlpr+v0+vu+TZRm93oNA\ngclkMvdWui8I3Wc6nZ763Gg05h5MDzObzUiSBCklw+EQ+6TCZRRFjB5KQ6/4ZsjzHN/3WVioxpnf\nBpWw9JQkeUaSlSu2bbfFry79DI16ZDtLliVFBx8GAAAgAElEQVTdsyLjJ+depdNYPPN4k9Dnbz78\nB3RR8L+8+hc03NNVBgb+iP/rDwFrzSV+sv0ak8RnZ+kC//Nrf8n7Bx9yu7+HKhSXVi7w+tYr8/3u\nDQ+50bvFWmOFS8sP8nALpRgHpzvDiqej7nin/k+fhN3hAfU8KqsDas31/U+4MzrgtXNXWW89SCv5\n/b0/cjQ5JkhCcpFjSZtLi+d548Jr/Nut35MWySNV3U4jsA0bKSTH0y65KthsrlCz63zMra9w10+O\nIU0c06nqqzwlVr1OHkYgT3fLRfIgQkQlDwTsIs3IkieIHvkC8iSlSFOyJCnTW/IUXShkq0HnV39+\naltpmmVluKN9hmiEYeCur6HDkODOHfIgRNgWajYlnZX9TO7PUFlGkee465s0X32d5oWLRHv3GL39\nFiquRO4vS3h4THTz5hNvL6RECxBIGue3sVZWGb33HkJpnA6YnofVWQJpgW0R795FZQVCSIosQ2c5\nWZJgPKbdOefOEdy6QTIZk0URnFW9Mgwp/Blmo4Y0qiHI88pZJrW3uz6fHj6YSHUnEaNJghACpQW/\nfm+XdqtchLPNcmFlc9EjiBLy+TBL0/QsNLB77LPSdlAopDRZbyumccEsTHAsgzQrQAjGQYqQECaK\nNM/pz0IansM0TGjXbX6w1eFud0aYKGZJ9sh1A5hSYFsP2qshBFc32mx0Hr/Q8yLghwnv7w7Z68/4\n6N6Y5H51oxONpjuOcEzBJEpRJ4MCIaDh2BhaUPMcHEOwvdJmMJlRaFioWwz9pBSUsgS0Sc0x8YOE\nWs3iaBDgJwVag2tK2q7BLJJEScqnhzGrCzYLlqRlS8YGZGmKsiRZWuALjSUFSXLfDLzgykabX/5g\ng07DPfsmK55bhBBorfnggw84OjoiTVM++OCD+e++79Pr9UjTlOFweOYx7vd1ly5dYmvr0Qq5H3zw\nAUoplpaW+PnPfz6PivnHf/zHUz4/FV8/WmvefvttwjB8qpTDh/dPPjPeSZKEPM/Jsow8z1FKfW6l\ntjRNSdN0/qyTJME0TdLndIGtGtU9Ifcn8jcHt7k1uPNE+/T8Pv1gRFFoGk79zG3CLKYf9MkKxW9v\nv4tnn36x+UnAcDamYdewTRcpDCxpUrNq2IaDZZgUKGzDpmY9iIpy7WfT1OtFRkqJqQ3+/c7b3B7c\nZRCOyFVGy33gjbU73GMUTshUjjBAaoM0zYjzlBu9uygKLPk28MUra7vDfYIsRAiBKU00ClM8P3m8\nzxVCsPQXfwWAcZKbL4QApRn+098/2O4htS7ZvUtvb/fLn/NklB/dKwWhgfF3pXeX1viffASWjZp9\nZvXeslh885dIr4a0HGpXrrDwwzJMeDGOOP6b/5dgfx9nbePBPkVBmk2Qbq38d68HF3cwl5YQCLJq\nxe7Lo8tJcPPKZbyLZRRlPhqSTsY4qysYtc9UmjFMxu/+nvT4mNrLP2T0+7eYfPA+hhTUrl6jUAWz\nt36HSlLESWMzG3Xy2QxpmRRpDmmE0Xr8yl9w5xZSqcdnw5187ywsIar03O8V//DHfYbTkKV2jaH7\nQDg6GAX8H/90/ZHta47NX7++MfcUSU+8mLaWGizVHf6oBhyNQ+q5xUrbQxsGkzBFK03DKyNeG3WX\nK1tLTKJycD+YJERJKV6YliDXAonAlJI3XlpnrxtwszfBlYJpnJPlOeMwpuE4WBIyBKYhcQxJ03NQ\nuWZjqUGU5jRqNhdXH10EHIcxQZSSPVC3CIuCuz3/hReW9ocBQz8GFAKNKTXSMGm6DqnK8KMMQ9pY\nhkHNMcpoIkAaJnXXJsnKydXd3piDoY/W4iRqCRSahmNS9wRprhFKcWN/RnwiXjlWwcEwJQhTRkGE\n0hrLMPn97SEf7E3IsoyjUYRhGtyVM5CCVs0mSTX/+OEhABqNbRvUHBvTrKoEvmisra1x/vx5oDTT\nzrJs/hlgMBiQZRkbGxusrj7qLWhZFouLZZ9x35fns5gPjenuezIppSp7im+Boijmldd8/+lsTJRS\nfPrpp49EoKVpyt7e3tzwOwgCXNdldXX1kRRIgFu3bnHv3r25sKS1xnGcZ76625elEpaekNV6h83F\nDfL87NWss0hUQpzHdGoLtD47wD8hSGNqQ49c5Kw0FvGc0xP/+ybNcfF8KpsvGtPYJ0h9DClZ8Jp0\nGm0WvAeTtFE4JitS4jwFoTGkQdtrsNJcouf3yHTOcmNxbp78eUyiCUJqluttLLN82a21V6uX2TOK\n8ZlKat6lK2dvqDQUOXyFXO6k10fx+WlNZ5JlFFHC/Uv1P/2EZP8e3uoahe+jovLFLTyP2onQIQwD\ndXCIu7VFbes83nY5aDO9WpmWVa3YfWWE6cwN0s16A3fr/BfsUUbCZaMBAnAaTdxGgyyNS2+3k7al\n8gSExGq2kJaJWRQ4nQ7W4tnFH7LZBMu2MUwTb2UZPqefci9eevobrfhOWGvX+HhviJ+k9Pwyeih0\nLaRZPl+NZn8YnrFnSLth8+evnrYC2OzUWGnXmcQpe+OAIitoeha/uLzMJ4cztNb8aGcZz7VoujZp\nXpDkirQo+Pt3d/lkb0hWaFSh2Vqq0Z1EFKqgN46YJglRnBIWmppjMU1S8kyBo1hue2SpYrXtsbNZ\nmnRfW2vTaLgcj3xWWi4XVh5dBLxA/ZSonynFv398+JWLeDwP3I9CevX8MjXHYWulwSubixiG5Ncf\n7FNkBZfX23x0MOLl7SUuLj8YC9/rTflvb90lzgsms5RCaVzHQhUahKLhWNQ9k7ZnIYWk0BazpCCP\nFIVSZIXGtgw8xyIHlNZIBI5tsLXc5qA7wbRyhACvZmEbBqvtGj/cXsJ4aBxUc21qdiUqvYg4jsOl\nS+W7qNfrkWXZ/PP934Mg4Ny5c2xvb39Xl1nxHZCmKXmeI4SYi4dQRhwNBgPq9TpCCIqimFf229zc\nnG+3urpKEARkWcZoNJoLS8vLy3Mvpkaj8cxWd/uyVMLSE+LZHj859+pT7eMeuNjS4sfbrz02FW4c\nTrnZu41Smp+ef52Ge3r162B0xD9/+tsvfd0Vzyar9WUKCl7deIWN9oPy70pp9i2HWRKSqgTbcLm8\nssPPL/yEMI2J84g3tn98ZprBo0i6sy4/2nqV+uf4MlU8m7gra7gr30wZ98m7bxHc3QXXRdsOOs0w\n6i2EZWIvLJHOJlBrUn/9x6f2k26NxsY6WRxhNRvEe/cYf/Ix8eY68X5pDG11lrGWlqmdDMIEmiwM\nMWtNvO3zWA+/RCuT528GrR/rb/RZrEYda+McqR8iDIG3cxmdlQso4e5d3M4KZrOJbLXIBgNar/8E\nd/PsAfbo3bdxg5ja+hoLv/jV13Y7Fd8trm1x+f9v706DJMuuw77/731L7rV1dfU+PTMN4GGGGBIA\nBwRBcRlxcVAMyzZl8YNFyyRDpsMORdiUQkGZtmVLCiskfVBYjLDlcNgizbCCIZsyJTIki2CIEAkS\nxDIAiSEwAHKWnp5ea6/c8233Xn94WVlV3VXdVdW1ZHefX8TEVGe+zLwvl5Mvzzv33PMzOGtZmCpT\nDnw+eHGGN29tcHu1y6X5OvONnSfF2sOMjU6ftVafr7xVVIfcWOqx1O5T0Y75mTrvL3e4u9yln2Yk\nWc4XQ835mSpKwWpvyKy1OGv43LeWyXJDbgyDOKUUBMzUApZaPbpJikMBjvYwpTdIMcYxVQuphSHR\nlVnm6iWcg7XukHYvJro0y0evLdC80+ZuK6G/2OG9pS5L7SGrnf030/X003Wm+TCCUV+ib97ZwDp4\n+06LtXaC72m6/RStoBOnpLnlvcUuG53iJKnnwTt314mznNxaGlWfzFh8DcaBpzTOWdbbMb1+ylSt\nRMnXzNbLBL5ipT3EGEs59Dk3U6U8TGhUAl55bo65qQrR5TP84Tfu8PnmIkopXjw3TRBoXjw3w0tX\ndj8eF0KI+83Pz49Xj4OieXev12N+fp7BYMDi4iKNRoPnn3+een3rt9bmqnPWWjqdzni6XBRF1Gq7\nz2J6Gkhi6QR0h128Pc7ctgZd4jzGWcXvv/s6ZW/nihWtYRe7Sw+n7e61FxkkQ9qDrd5Jq4N1bm3c\nozMYcnP9NkprKkGJxfYydzv3cFbTTfq8dP4Dz3QFi3OOb917h07S3cfG8P7abUpBSKgPlmF+d/V9\ncpujreLm+m00HhaDr3xurt8db/fO8nVWBxvMVLeWPF7vt/jie39EL+nje8/uayWOzrjiLY5RaYLK\nUky/g9YecbtFeu8ext2D+xpAo2D4wgss/KnvY/61H2bxX/waOIc/NUdoHEr7BFMN0ju3WLl7GwDT\nbzN8/xZ5q0W6dAe/MYUuV8l7HbrvvI2uN/C+8PmT2e9SSPnipRN5rMPIVlfJu/uIRSPx6krRRN0a\n4o0NwDF87zppp0P54gVKZ88/cJv2W01sq4X+ypfpv38DvS0BpbXH7A/8afIkZu311zFpAijmf/hH\n6L79Dtna2kPHs1naXfnQSw/dTjxZFJsJBI+FuQZZbljqJszPVJmulwh2mUJUCj0SC++t9Hhvpahk\n7A0NgzSjHWeE/ga9YcYgNxiraQ0yvvTOCjO1EGMd3ThDKc2FuTKtflaseprmxIkh9ABfs7w2JMlz\nZmplZmsBC40yvUGKRjFMcpLUEASKlc6QOM24tz4kzXOW2wlffm+F1VYf7XkoFJ1+TK3i0+7u3fNN\nK4/pqs90NSRzYLKM3/7y4XrElQKPuenyrvnfPHWs9WKMsXieIvS98fS/SZObnLfudMiMpTNIidMi\nKZ0aiwMqgU8pVKz3Muolf9w8O/A82r2E1iDBueKkWhj6lAOffpzh+ZqZWmmUJNcEoyTe3HSFK/N1\n0nyVauhzZWGKH/v4Vb789jKep/nwlTPMjpKc0eU5VjoxDpgqhwzzHC3JQCGEODaSWDpGnioOtt5c\n2ns1rmEW00t6DNOMxDx4psxaQEPJC1GjvjrdZMD15Zv0kyGtQZd20qed9LnZ3kpQpCZhmMasD9Z5\ne61IgkyXp9EKWoMWzirWhhv04gFn63NHsr9aaS7NnnuiVgNb621wff19wGGtoxv3yNyDibySDqiX\nqwzyIbkzrPaLH1hxltLbxwp7S51VHBnKwWpvAw1Yih/4ld5W5nq5s8Iwjwl0wHStTskr47Djx5sq\nTz9183HFySuPqlKsyXHdFmngUzm7gPY9sIbs3hTGGGxnZ7PKrNclXV7E9rvosET//Rsk6yuod94q\nevIojbIZ4ewZNueOKAfKU+S9LoP3U6wxBFMNTL9PsrpCkGX0vvn1o91BpfCnptG7VPYlN98/2sc6\nJvHyIqbff/AK7eHX6zhriJeXSFeWiO/dwavWwFnS1VUAem99i2CXVVDyfh9cjk1iktUldFjGL5cJ\nz5/H+h53fv3XMO0WebeH0qC0An3AaSKpLKH8NHnubI00z7h/1qrWkFnY692xMF0j37aS4GI7odUf\ncmGujMlhsTWkmuZYLL3B1lLxGItSFmss3YFhMCySFcVdKVIDJjckuaHVTVjrxFRCn7fvdkmMQTk3\nPmHWHqTgimiU5gbrLIvtAeVBwCDN8FReLHdvHXZox4uz7EYDd1u7X+dp8H2NAkLP29E/LPC3Vj57\n4ji3o/H2/df5WpFklmFWvM4OyDIzXvkvsxY3CgedOMdLddHs1ibkxqGUh6fBK2k8NIGveeHiGeI0\n4WyjQneQEAQenq+J04R7SymxtXT6GaHvYaxhvTfkQ5eLk3FrvZi1bas0z1ZLdNOsWBNjMnNz4hRl\nWcaXvvQloOiFY4wZr9oGsL6+zvLyMsPhkHv37h3qMW7evDm+jy9/+cvj1eXu3btHp9PhzTffZHl5\n+ZH3Mzs7u2Oanij0ej3eeecdLl26xNmzZx99A3GsJLF0jK7OXcZiMXbvXiaDZEg37jJdmeK5uYsP\nXJ+ZjG8tvsvlmQsoitUHLJZvLjcBWGjMEfo+mdn5jRlnQzpxl3qpQbVUoT1oEWhFpVwjtwnKV6z2\nVnhbwepg+oHHPayVwRqfuPodR3Z/x6143hyXZy/irOVm684eWyq+/eLLKOWolip88vnvJDeG33/n\nC7uerb1fd1jDktGo1OlnXTQai2Wq3KBe3uo/MUi6+B5cnF0g0AHfduHDLExt9TMp6dIzXWEmjkY4\nNU346icBcMag1taYevWT42lqledfJF1d2XEbZ6H9x69jhikqy3FZjvYDwnoDDfiNBsn6OkmrTTCz\n9Z51foizDpsPGS7eAQXWXqAydwYzqBFONQimjy4GbfKnGpz51PdujSPPyXtdso2HV92cJqU14bmL\ngGL1s5+BM/N42+KLcw5rtn7d54M+rtcp+lVVi4NVFxfxxAsCvOqDqxwF1TJKe1Seew7tKYJqlfL5\ni5gkpfetJoy+r4JqmXBuhunvfHXP1duMMWSj5JcZDIhvF/Gz8+bXmT97XppzPyWmqiEfv7aAtY6V\ndlElZCyEgcf56QreLpW01jqWWgPibPvxTw+lDJdma/RTi3aKXpbhrCKtGs7OlpmulLB5zno/Y6Uz\nYJgZqmWfJLfg3Hh1uDQzVCoBJod8VCmX46iEPr5SoBTDrOjFE3oaUFjPkeYOhyM3BqXBV3qUA1co\n57C7nFjyVTEd0KgiabJJaY3GFZV6Dszm4KyjVts6waZRfOzqWWZnis+mc471Tky2a7amUAo0pcBj\npVWcuApCj4uzJz99Yr014NZGUXG2feqfw3FnuUsQeNQrYKwjTg1JZolVPjpxBiWl8bXGKsdUNSDw\nNf2hIU4yzGjK7nQ1YJhZnHXMVjwa0z7YkMQ6MmO4u9bFWYX2FY4iGVUqeaCgUvK5vtSlN0jpxdlo\nbA+aroRUK0/OSU9x/Obn51lcXCTLdvbO3f7vzelL1toHtjuIzfYVxhiyLNuxGtzKygqroxNCe9nc\n/tatW9y5cwfP84jjyT2BU6vVeOWVV8aNy4/TvXv3aLVaxHEsiaUJIImlY1QrVfnIhQ8/dJvWoMP6\nYINLU+f56HOvPHB9kiVsDDo0yg087XFl5hJlv8z5xtYc8YtTD65UsNjb4G7rLhca51moz/DGvW9Q\nC6o0ytPkeUo1rOIB89VZzjYev2LJAu8s3cAYy51dxjOpVnprdAY9OuUecRrTHw65Mn+Birc11W2p\nt0673+FeZ4nusE9mDBu9NoMkpjPoEQQBL8w9fHrNer+LcRnnavP0kh4ahcVxtnaGudrUeLvesI+X\nai7Wz1IKy3hKs9FrH2rftk+NFGJPo9XnVv7Np9G+T/3lj1C/8hzlCzuXzY2XF/FvzFO5NseZ7/k+\nAMpvfIX+rWLKm39mFvvmN1BhidKFCwSNBt7ozNxUFBEv3WPji5/HWUcQlpn68EtFguPyVarPXz3S\nXep87eu43IwbWm8KpmeoXJr8BpzZYFA8N+fPMf3qd2+7xtL7o9dRnk+8vkE21cAlc5TOLBCemcdh\nxwegfrlC/cUP0vjIRxjcu4sZbq2I4lVqOB2QrG3gz80QXrnC8N4ieBoVeFRffAFdrQGKta++wfIX\n/hBGB9XDpSVyW/Q/6X79DdhlydzKpcuSVHoKrXVjvvTuEreWO1xdKL63Pv7iAhfmHkx4rHVj/uj6\nzrPwSxtDNnpDPAW1csggzVlpD3DOoZQizQ136dEdZsxPl1nvJFhnx9XasHXQ6gce840S89MhmYEk\nM5jMcGa2zIcWZlhsJ7yz1MZZh9aKawsNuknG23da5ErRKJcYpjlpluMp0GlOpeRTK2999xtji8SY\ns0xVw2JaViV4oDVc7qAXp1sZDQ2B5497yCkUpZLHx16cP9Dz3erHfK5f/Hi8cqbGtz9/sNsfhZtL\nbWJreO7sFC8ubJ0AuL7Y4k/eWSUINNbBbC1ktuZjnGOt48idI8sMmTPMNEKUcyzM1qlXfFr9mGHq\n026nJLlhvh4yyCztXsKd1pBstUutXGGqGtDqxqA12vdQylHxPbSGwPf44Lk5ZmohuGJlpXol3HUf\nlCqmHgJUQvnZIwrXrl3jhRdeGP/b932SJOFTn/rU+LI7d+7w7rvv8uKLL3L58uXd7uaRvva1r2GM\nYW5ujk984hNUq1WsteR5Trvd5vz5B6es329paYler4fv+8UK074/bgA9aeI4pt1us76+vutKekdt\ncwp+usuxyCTZ/J572j3zEdY5N35Tntbjj/7akcHetP3sma80ofaxNudue+WBbbdrxR06cZfQL2Fc\nTnvYJ80MmbN04i7GWnrJgOXeOtlDKqoOsh/3usv4ff+J+uC0hx0WuyskNmWYxPSzAWEQEnpbAbsd\nd1jsrJBkKRtJi9AL8dTXSLKEO+1FpqsNSt7uBzSbunEPQ8ZKf41OvFWxtNZfJ863Su9bwzaDLOFu\ndxVPedxcP1zp7aZiaV9v1/fWUXqSXnOxU+XyVWwc43JDNhgQ375F/cqDq4q5pPjS1tUaKIXWmsZ3\nfCfh3Bwbb/wJ6dIK8Z2bgAfxALSifPES5YWiAbmzCpdkWFd0jUvX1jG9Hll7nXT5wcqax+Gc5al4\nRyq1YzpfvLxC7+4i1ln6zW+BybHxkBRwSYzDoozFZAl6aoZgZhqqddKlnT/wu2+9y/DuHcygR1gq\n03vvBmmnA4MBpZkpem9+Y+cwtI/yNDoM6L/3HvrmzfF1XhhSHp0l9BoNSpefI6jJYgFPo1Lg8aEL\nswRaY6xFK0V5j9W0HnZcNUxynIP2sIgpg8RQK/vEaYaxln6a4/cUiTGk6d7HJ/0kY6OXcHa66Kmz\n0c9Z6rT41s325iDILcRpzrt3Nyh5mqFxpKlh1e/jlCbbdv+enxKookLI4CgKkRzOFs2iPa1QSpEb\nA6g9mncrfA3DxAIOTykCX/H620vcWtm7f5qnYKZRHifRlFLcWmvz7r3iNm9W1/iDr+9VUX18BklG\na5DwhW9uHYs4HJ1BRncQk2WWsBSw2imeN89TWGtQ2kOpoj9XvGKLCqeNwTjZZhykqSF3lqV2jOdr\nTF5UmGmtcSoFvfU+8gCcwvc0lVAT+D7L7S4rPY+zUxUWZqrM1ctUSyHnZsq7xv/A1zT2SD6JZ9P2\nGQBxHOOco9PpMDOaRr55/Y0bN5ibm9vRnHm/lFLj97HWenyfvu9z6dIlPvGJT+x6u36/T7PZJM9z\nLl68SL/f52Mf+xgA1WqVV1999cBjOQnXr1/n5rZjhJOQpinGGNbu6wNpjKE76lsZhiFra2vcvXuX\nt956i3q9zspK8Vt6fX2dTqdDp9NhMBiwvr7+wGpwj2NxcXHc5PuTn/zkkdznpHqmE0vvb9zmG3eb\nu5Y+n5RhlvD++i3utpa501l64PrcGN5Ze49AlzjfmGeQxvTT3Zb13amfDmgPO+TG0R/2aMcd+mpA\nJxnQi9vE5YRhFpPnlm6ySx+PA3O04jbKabyD9uM4Rb24TzfrYp0jSVMSF3O3s4je1jUiMQmtuE2e\n5nSzPr5flNWnWVpc7gxp/vDJ+6u9VZy1OOPoDLswWsXG1x6Vbc//2qBDZnOWO6v7XtXpYSphlc+8\n/QePfT+PEgYlBskA/wl67UWhcuU5KpevkCcxK5/+LXZvpgH+3BwKRXL7FotLi4RzczhjSW7eIO1t\nYLtd8sEQpTW920UVU+/mbUqjxFI+HBCvr4FzxIOEvN0mXV/DW16ldPceeh/vHeV7BFPT7Cdr5M3P\nE3eezKq9bDDAJAm9G++Tm63XI2+vY5KEzBiM0mgAL8SrNvBmi8pTf3aevNehsnAB64UMb7xPOhiS\nt4oDLpfl9N6/gUfRM0aFIbVLl/DrdbLVFSyjAwPfwwsCgvkFdK1GEIRU7+/voHxKV64QVJ/eFU7E\nlqlqyFQ15APnp8isxVcKf4+p4GcaZb7tyvyOqXChH+CHCmscg7TodzTbKFMuGRqjqWMaRcVXdGIz\nmmb+sBN/ijNTZc40KuTGsdqJWRs1307SjNVugvZUsQy91gxywzAuxpMbhedZnIMsz7E4VK4IdbH9\nMC0aPStVNM82RpE7qPm6mObFZs+nzZFsTRXLDZgsJ/AUQeijlU+cZdxce3hjfrct8eSMoZ9ZuqP+\nUplxdHt793/aLz/Q+LoYrx8UPwGcg3x0DOP7PsaY8es6THJ6/ZTE5FhTJO1x0I0znHJUyyGZyTG5\nJQh8cge4IoZYYwlLHtVKwPb6Rd/XGGPoj6YoVgONH/gYW0x3rFVDZislPnR+itw47rZ6ZKZoONoo\neyil6SfFMuBxZpiqhvzQK5f2fC8KsR/lcpk4jmk0GuPLZmZmCMOQNE25fv36oXocpWlKmqYMh0N6\nvR7WFpXFmxU2vV5v19vdunWLzugYpt/vEwQB/X6fNE3RWu96O6011Wr1gcufZoPBgDt3iqT71772\ntR3XWWvH0ww3n7v333+fdruNMWYc97rdLkmS4HkeaZqSZRn1ep1KpXIk0+suXbpEpVIhDMOn/kT8\nM51YWmqvnGpS6SAyk3Brz/4/u2xvM4w1pHlMrBWZybHKorTCOEducvLckDIkzh9/yoLCkZkMZRVx\nfrhVUk5Dkg/Jc0MepKQ2ITeGJI9R2w6DMpuR54bYT3DOYhzE+ZA0T8lMTmYS4vzhBzSZycGj6KtU\naaCVxjrLucZZGuWtMyDGZgyymPMzZ8fN358EaZbQjXvMVo++V444Afv4ogtqdaZefplk8Q5Jq0O6\ntES+scZwaRGcw8ZDnDEwv0CQ58UPECDvbHW79aanSFbX0TbHDHrkaYrub5BkCcHMFDsyRlrhl8uo\n7Z+DzJCtPbxac5Ntt4i/+ea+tp00eZqQrxRVRoNv3neglGXkKDA5mbVgc2yWMlxdwSUxavS8D959\nh2CqgSrvTPp4lSqVS5cJPEXW7aIrVXStTqVaR3kh6cYa1hrIDTY3hJ5fxEPPo/ahl2WKm8Dz9K59\nle7f5vlzjR2XXT1b4+ZqndwU6SKH5eZym36cUyv7fPT5eS7Nb93GPqQH0W42t+8MU/7J732LziAl\ns1u5cq08UIYkSwk8D5cplAeNsk97mGSbDyoAAB/KSURBVKCVRzUMRj/6ckARaM2ZWpnEuGJV1m3v\nfw3kZu9jyBzIM1B5TpEy231/HJBZg8WhlaIS+OQW1jsxbnQbz1OkR1F5vG22iCJBeX5x0msUNxQJ\njlGlhlK0ujHWKZTaLDbSOKA8mjKoHPhaEZR8wkDvzPmP+qv4eqtiY6oaUPZ9+kmG0opy6PMj33GV\nRq3CeqvDO/daVCrFj6+Xr84RBh7tfoPcOLrDlOXWkEFqmfZDnIPOIKU9SCSpJI6E53njfkhQ9Ap6\n+eWX+epXv8r6+jrr6+sPufXulpeX2djYII5jvvrVr46bg9++fRul1LiP08MMh0OWlpaw1rK4uIjn\neeOkyHZKKT7wgQ9w6dLkrn571JKkSLiXSiWee25ntb0xZpycm5qa4rnnnqPdbtPr9bh27RrXrl0D\nij5Ny8vLXL16lcFgwOrqKi+88ALXrl07VJXadlprXn31VW7fvk21Wh03b39aPdOJpY9c/DB3Wov0\ns6Oo2DmcQTykG3eYrc5wafbCrttUy1V6B6wq6sU9VoI15qozTFUa5KODkyxPR5UBHkoplNJbS48/\nltGyK9o7ovs7GcX+K0bn7otnybHjx5MxxeW+8sg8jXLF86Y9Hxzk1j5yn5XW4z4ACg/nDMMkpjXs\nkG5rvO77IVN+yKXpc3jeZM6f3o2nPGqlCv1kSKCf6bDyxEt7bXp395iCWZsivDaFn6bYuE9y9w75\naCqt6XQx1kGWYQMPF+egQJdCNhNGXrWOXy8OAuJOF53HDFfaxfV3VPE5UQr8YkqtX6nib36pO1tM\nXU73cdZegQ5Ku64KN+kcjmRtAzMcVaY6W/wHOOvAFatlaU8XFzuL8ornTW1rsu2XgmIFOAtu23Rn\nHfroap1ca0wco7tdrGI8Bcf3ffza1o/76qVLeNUa4cI5SSqJx1IpBUSXtlYqNMZyZ7XLIMlZ7QxI\nkpwXWj201igFZxqV8bSRYZxgjKVeq+y4z7NT5XGD2M2l5KerId//kct85qu3aQ+GpL7CWkdmLMZ6\nlMPifq215MaSOSiXSmgF6aihdL1ewRmHdY7WMCMMPPLMkuXpOD2kFEVFlHkwYVTUJI84GKTZw4uv\n7uNpyG1xP1pDaizuIUmsvWTW7RhHERCKJFGRiEuLeKmL/XDsHKaxDj2KD5uf/s3kkXUOq4pLnHPk\nmRm/BmNKkWQ5oe8V0x/7KR0yUldMh6yFHm+8t4xCYawlNY4bKxvkxnBvfYCGopJpF7Vyial6yLkZ\nqZgUx6fRaHD16tVDN8tOkoR2u83U1BTl8vZ4VfRK2r4K3SbP85iamqJUKhbs2d7we7OFy/0tLvI8\np9vtjhuEH5d6vc78/KP7vX3zm9/kxo0bxzaOTdevX2d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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Variance reduction: Baggining, RF, Tree, Adaboost\n", "depth = None\n", "\n", "fig, ax = plt.subplots(1, 4, figsize=(20, 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", " 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", " adaboost = ensemble.AdaBoostClassifier(tree.DecisionTreeClassifier(max_depth=2), n_estimators=30)\n", " adaboost.fit(x, y)\n", " ax[3] = plot_tree_boundary(x, y, adaboost, 'Variance of AdaBoost', ax[3], plot_data=False, fill=False, color='Greys')\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", "ax[3].set_xlim(-3.2, 3.2)\n", "ax[3].set_ylim(-3.2, 3.2)\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#Error comparison\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", "boost_score = []\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_)\n", " \n", " adaboost = ensemble.AdaBoostClassifier(tree.DecisionTreeClassifier(max_depth=2), n_estimators=i, learning_rate=0.5)\n", " adaboost.fit(x, y)\n", " boost_score.append(adaboost.score(x_test, y_test))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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jQmGoVWpq+dTCU+/phFmVb39c/IN0YzqDGgwiKiGKmt41mdphKs9+/yzv732f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4sWUT3Zffc5FwNyBnJ7IlzWKdUFo1q870KoxZiaqnTL316MFZQX4MDFA4rv92jBURRaCpHSJKUy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(10, 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.plot(range(20, 320, 10), boost_score, color='grey', alpha=0.8, label='AdaBoost')\n", "ax.set_title('Comparison of Errors')\n", "ax.set_xlabel('Number of Trees in Ensemble')\n", "ax.legend(loc='best')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#Choosing learning rate\n", "\n", "boost_score_small = []\n", "boost_score = []\n", "boost_score_large = []\n", "for i in range(20, 120, 5):\n", " adaboost = ensemble.AdaBoostClassifier(tree.DecisionTreeClassifier(max_depth=2), n_estimators=i, learning_rate=1e-1)\n", " adaboost.fit(x, y)\n", " boost_score_small.append(adaboost.score(x, y))\n", " \n", " adaboost = ensemble.AdaBoostClassifier(tree.DecisionTreeClassifier(max_depth=2), n_estimators=i, learning_rate=0.5)\n", " adaboost.fit(x, y)\n", " boost_score.append(adaboost.score(x, y))\n", " \n", " adaboost = ensemble.AdaBoostClassifier(tree.DecisionTreeClassifier(max_depth=2), n_estimators=i, learning_rate=0.5e1)\n", " adaboost.fit(x, y)\n", " boost_score_large.append(adaboost.score(x, y))\n", " " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SDAxdkiRJMTB0SZIkxcDQJUmSFANDlyRJUgwMXZIkSTEwdEmSJMXA0CVJkhQD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\nm5lUsfWwYlpHxBorzIrhlO1/Ma5VZvY4Pyuf5tpmt0NLGLOg7fXMa0J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IH0VElyCkPusY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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(10, 10))\n", "ax.plot(range(20, 220, 10), boost_score_small, color='blue', label='lambda=1e-1')\n", "ax.plot(range(20, 220, 10), boost_score, color='red', alpha=0.8, label='lambda=0.5')\n", "ax.plot(range(20, 220, 10), boost_score_large, color='green', alpha=0.8, label='lambda=0.5e1')\n", "\n", "ax.set_title('Comparison of Learning Rates')\n", "ax.set_xlabel('Number of Trees in Ensemble')\n", "ax.legend(loc='best')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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 }