From 51ab434b4567c974de0c7bac7251c046ab82d21b Mon Sep 17 00:00:00 2001 From: abap34 Date: Tue, 9 Jul 2024 14:48:31 +0900 Subject: [PATCH] =?UTF-8?q?=E4=B8=80=E6=97=A6=E3=82=BD=E3=83=BC=E3=82=B9?= =?UTF-8?q?=E3=82=B3=E3=83=BC=E3=83=89=E5=89=8A=E9=99=A4?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ch01/src/src.ipynb | 665 ---------------------- ch02/src/src.ipynb | 1310 -------------------------------------------- 2 files changed, 1975 deletions(-) delete mode 100644 ch01/src/src.ipynb delete mode 100644 ch02/src/src.ipynb diff --git a/ch01/src/src.ipynb b/ch01/src/src.ipynb deleted file mode 100644 index acf0714..0000000 --- a/ch01/src/src.ipynb +++ /dev/null @@ -1,665 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import pandas as pd" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "icecream = pd.read_csv(\"https://okumuralab.org/~okumura/stat/data/icecream.csv\", encoding=\"shift-jis\", header=1)\n", - "weather = pd.read_csv(\"https://okumuralab.org/~okumura/stat/data/tokyo-weather-2003-2012.csv\", encoding=\"shift-jis\")" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - " 年 月 日最高気温の平均(℃) 降水量の合計(mm) 平均湿度(%) 日最高気温25℃以上日数(日)\n", - "0 2003 1 9.3 101.0 46 0\n", - "1 2003 2 9.9 53.5 52 0\n", - "2 2003 3 12.7 159.5 49 0\n", - "3 2003 4 19.2 121.0 61 3\n", - "4 2003 5 22.4 172.5 65 7\n", - ".. ... .. ... ... ... ...\n", - "115 2012 8 33.1 25.0 69 31\n", - "116 2012 9 29.8 214.5 73 27\n", - "117 2012 10 23.0 154.5 65 9\n", - "118 2012 11 16.3 154.0 58 0\n", - "119 2012 12 11.2 69.0 52 0\n", - "\n", - "[120 rows x 6 columns]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "weather" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "data = pd.merge(icecream, weather, on=[\"年\", \"月\"])\n", - "data = data.rename(columns={\"アイスクリーム\": \"アイスクリームの売り上げ (家庭の平均購入額)\"})" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "import seaborn as sns\n", - "import matplotlib.pyplot as plt\n", - "import japanize_matplotlib" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x_col = \"日最高気温の平均(℃)\"\n", - "y_col = \"アイスクリームの売り上げ (家庭の平均購入額)\"\n", - "\n", - "sns.set_theme(style=\"whitegrid\", palette=\"muted\", font=\"IPAexGothic\")\n", - "\n", - "plt.figure(figsize=(8, 6))\n", - "\n", - "plot_ice = lambda :sns.scatterplot(\n", - " data=data, \n", - " x=x_col,\n", - " y=y_col,\n", - " s=75, \n", - " color='orange', \n", - " edgecolor='w', \n", - " linewidth=1, \n", - " marker='o',\n", - ")\n", - "\n", - "plot_ice()\n", - "\n", - "plt.savefig(\"../img/icecream_scatter.png\")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(8, 6))\n", - "\n", - "plot_ice()\n", - "\n", - "plt.annotate(\n", - " \"\",\n", - " xy=(30, 1200),\n", - " xytext=(36, 800), \n", - " arrowprops=dict(arrowstyle=\"->\", lw=2, color='red')\n", - ")\n", - "\n", - "plt.savefig(\"../img/icecream_scatter_annotation.png\")" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "from dataclasses import dataclass\n", - "\n", - "@dataclass\n", - "class LinearRegressionModel:\n", - " a: float\n", - " b: float\n", - "\n", - " def __repr__(self):\n", - " if self.b > 0:\n", - " return f\"y = {self.a}x + {self.b}\"\n", - " elif self.b == 0:\n", - " return f\"y = {self.a}x\"\n", - " else:\n", - " return f\"y = {self.a}x - {-self.b}\"\n", - " \n", - " def __call__(self, x: float) -> float:\n", - " return self.a * x + self.b\n", - " \n", - " def loss(self, x, y) -> float:\n", - " return ((self(x) - y) ** 2).mean()\n", - "\n", - "\n", - "def plot_reg(m: LinearRegressionModel):\n", - " plot_ice()\n", - " x = data[x_col]\n", - " y = m(x)\n", - " plt.plot(x, y, label=str(m))\n", - " plt.legend()\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(8, 6))\n", - "plot_reg(LinearRegressionModel(20, 100))\n", - "plt.legend()\n", - "plt.savefig(\"../img/icecream_scatter_regression_20_100.png\")" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(8, 6))\n", - "plot_reg(LinearRegressionModel(-20, 1000))\n", - "plt.legend()\n", - "plt.savefig(\"../img/icecream_scatter_regression_-20_1000.png\")" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(8, 6))\n", - "plot_reg(LinearRegressionModel(50, -300))\n", - "plt.legend()\n", - "plt.savefig(\"../img/icecream_scatter_regression_50_-300.png\")" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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9mvTn5+fR2tqq/CyfG59O+jrUxJ///GdMTEzorWZ1lA4SnSwsLGBqagrr1q3TbLKUZRmBQECJHNesWQOTyaTJWPSYpaKRHPK0QL77yjAMjEYjjEYjnE5nScY8VqsVJpOppB4FtUKt7xt5VkjbXBLpkw57gE76OtQD0ZxcddVVWFpaQldXl07yOlaGJEkQBEHp+64lRFHE1NQUQqEQLBYLksmk5gTf6JFnrVDuQmclYx6/31/UmKde6fpa3296zHyRPhGvptNp5TM06RP1vg4dpUIQBNx6663YtGmTTvI6CoOegMhERU9OaiMWi8Hj8UAURQwODiKVSim13VpjNUfmtUA5xjxExKdF46BGRbF2ynT1gk76OqoBmafj8bjyjOw9b5mOspArriMRiBZRmCzL8Pv98Pl8sFgsGBkZgdFoVGxatUa5E+ZqT9ergXzGPPF4XCnXIzX6ABAIBGC322tizFPrSJ6k50tFMdJPpVLKQpuk//UOezposCyrbKURfwyd5HUsQ7Had7VJXhAEeL1eRCIRtLe3o6ura5kZSS2gk7a2yFejHwqFMD8/j1QqBZ/PByAj9iOpfa2i/XoQYqVjlkr6eltdHV6vFzzPo6urC5IkweFwANBJXgeFUmrf1ST5aDQKj8cDWZYxNDSk1GvnG0trRTT9vzq0B/HTB4Cenh7wPK+k9uPxuFKjbzQas0i/WmOeZm/CQ5M++W5JkpBKpbLc+HTS3/vw0EMP4bnnnsN+++2HdDqtPCc6yesAUHrtuxokT8qK5ubmYLPZ0N/fnzdN26iqaz1drw5oAsw15hEEQSH9aDSKYDAIYI8xDyH9clXo9UjXA9o8y7TnPj2WJEkYGxuD1WpFW1ubTvp7CQ444AD4/X4899xzMJlM+M///E987nOf00lex55IoBTnumpJPp1Ow+v1IhqNorOzEx0dHUVFSWQsrSN5WZYxPT0NURTLbtGqJeo9fr1gMBjQ2tqK1tZWAMiq0Q+FQqob82iFWvrz5zbaIYROmu0UK9nbW5+z1YSjjjoKRx11FHw+H+677z7893//N15++WWd5PdmkPQ8Uc+X4lxXDcmHw2F4vV4wDIPh4WHY7XbNxioHRMksSRJ4nsf8/DyAxunWpmcNihvzBIPBko15VlMkv9K4tMUu3WGPlDvSpE8329E77DU3urq68KUvfQmCIGDHjh06ye+toGvfgdKtaSshXlmW4fP54Pf7Ybfb0d/fX5agSiuSk2UZCwsLWFpaAsMwGBkZUX5XqFub1WpVFkerFbWa4CslwHKMeWjPfeK30EzCu0qRbzFDV8fkkn4ikVA+Q0hfb6vbXEilUkilUjCbzZiYmMA999yDp556Sif5vQ35at/LeYHLJflUKgWPx4N4PI6uri60t7eXPJ6WE4soivB6vQiHw7BYLEilUuB5Hul0umC3NvJPkiQEg0HE4/Gq9od1qIN8xjyJREJZqNHGPKSUL5lM1mQ7pl5ZGLL1Vgw66a8eJJNJ3HvvvXj22WfhdrsRi8UgyzJ+/etf6yS/N4FY0wqCAGB57+xSUA7Jh0IhTE1NgWVZjI6OKnWbWoxVDojpjiRJGBwcRCKRQCAQKPj5XFHYrl27YDKZwLKssj/cjB7uuVgt2wJ0jb7b7YYkSYoxTyAQQCwWw8TERNZ2jMViAc/zqt+zeqTrq8mQlEL6+TrsNduzvtrAMAw6OzvR2dkJAAgGg0in03jppZd0kt9bQNe+08515aIU4pUkCT6fDwsLC2hpaUFfX19F9c5qkzzxxJ+dnYXZbMbAwACMRiMSiUTWhFbKcRmNRnR0dBRMFRezc9WRQa0IkGVZ5T4Eg0G4XC6YzeZl2zEGg2EZ6VeLZiL5XBQifSLkSyQSYFl2mZBPJ/3aw2g04oQTTsAJJ5wAAHj33Xfxwx/+EDfffLNO8qsdavd9X4l4k8kkPB4Pkskkenp64Ha7q37h1SB52hO/ra0NXV1dykKn2uuRL1VcyM613iK+vR1EYJq7HUNrMEKhEAB1jHmameRzkZv5I6QviiJEUUQwGEQymURbW5tO+nUA0VkZjUYIgoC/+7u/A6DXya9qlFr7Xg7I30uStOx3wWAQ09PTMBgMGB0dVcxOqh2rWsTjcXg8HgiCgIGBAcUJih6n3Dr5Yr/LZ+daSMRH/lVr8qKjdOTeP47jYLfblWoPQRCy7lk1xjyrieRzQUifLJaTySSWlpbgdDohiqJizkPS+7Tvvk766oNlWRiNRsiyjI0bN2Ljxo2QZVkn+dWKcmrfy0G+SF6SJMzMzGBxcREOhwO9vb2qkFa16XpZlrG4uIiZmRmYTCZVW9aWekwrifgIgRQzeVkte+W5qCcBFoPBYMjSYKTTaYX0I5FIRcY8q5Hk841LUvfkv4kOKJ1OZ5X00ZG+TvrqIBKJIJVKwe12QxTFDMEbDDrJrzZUUvteDsgLSSaSRCIBj8eDVCqF3t5euFwuTRcUpUKSJExPTyt7sD09PQUn4Vo62OWK+PKZvNAivlJU0jpKQ6Xkx/M8eJ5Ha2urkh0jpE8b85AMDm3MU48FWr1r8wlyI/1ipE8329Gf9/JArvtjjz2GyclJfPWrX80KsnSSX0XQIj2fDwzDQJIkLC4uYnp6GkajEWvWrIHZbFZ9HKB8kicLj3Q6jf7+fjidTtWPS63JO9fkJVfER7ZFpqamaibiqzU5NFMUR9fo596zeDyeZcyjhtd+JagXya+0IC2V9HPd+HTSLw5C8i+99BIikQjGxsbw5ptv4oADDsDIyIhO8qsFJHpXOz1fCEtLS0gkEnA6nejt7W2YFzEYDGJqagpGoxGjo6MlLTwIadebbPKJ+DweD0RRhCRJmov46tW8pdbjqZ3Zyr1nyWRSIf1IJAIA2L17d9Y903Kh1iiR/EooRPqkwx6Q34K3UeaaRoMgCOjt7cXOnTvxs5/9DJ2dnTjttNN0km92EDW3IAg1saSMx+NKCY0WUTKNciJ5WhdQ6cKj0fa+SSqT4zj09fXpIj6VoHUWxGw2K4vLpaUl+Hw+uFwuxONxZaFGl/WRhZpax9UsJJ+LlUhfj/SLIxqNorW1Faeccgrcbjceeugh/Nd//ZdO8s0MUvs+OTkJhmEwNDSk2Vh0jTkAOJ1OTQkeKJ3k6bK9vr4+OJ3Oilz8yvl8PRYEaoj4GhG1IqN6LuLa2tqUbS66xHJubg6Aun0SGjVdXy7ykT6Z89LptPIZek+fqPf3JpD7HYlElAqRww8/HIcffji++tWv6iTfjKAfdkmSNCcdusbc7XYjHA7XJFosheSXlpYwNTUFg8FQtS6g2SaHckV8jebEVy/Sraean47gARTNztBmSuXU6BMdR7NF8iuBEDo9niRJmJiYAM/z6OzsBMuyedX7ewPi8TgMBoOSaQUywZhO8k2GfOI6lmUVq1q1QSxgRVFUasx37txZkwm6GMlLkoTZ2VkEAoGqy/bUdtarF1YS8e3tTnz1XFQUusalGvMYjcas+1bsWSfnWesMTq11LTTp02116fT+3tRWl2VZPPDAA5icnFS28Mxms07yzQTampbee9cikpflTIe22dlZWCwWjIyMwGg0ajZeOSBNbxKJhGquegSlfE+9z78UVOLEV6+0fq3T9Y1Wl0+jVGMesiVDyvZyI1yg+dP15Y5bKNJPpVKKMc9qJH1y/OFwGA6HA4IgYGFhAdFoFLFYTCf5ZsBK1rRkr08tCIKAqakphMNhtLe3K2kwerx6RfKhUAherxccx6niqldonEaBWve2VCc+AErPAa1FfHtLur6a8fIZ8xDlfjgcVmr0yZaMxWJZten6QiBblrmgSZ88a4VIn/jwu1yumh67mlhYWMCPf/xjHHzwwVk/10m+wVFK7buaphvRaBQejweyLGNoaEiZXGjUg+RleU9P+paWFvT399dNRd7sK38gf5o4GAxiYWEBiURCKf1qNhFfMdTLmEbN5yV3S4Ym/aWlpaxuigsLfrTYLDDzBoDhILMGQMNnt14kT6oVioEcVyHS93q9TU/ygiAo7y2QKSeemZnRSb6RUWrtuxqkK8sy5ufnMTc3B6vVioGBgYIK31qTvCAIGB8fRywWQ3d3t6JUVnuccs6pEaP+akDS9gsLC+jv7wfDMMtEfACy9oWrFfHVK63cTJF8MdDGPE6nU9Fh+P1+xKJR8FICQjSJCDL2pizHQ+RtMJm0EV/WO11fDnJJX5Kkpi09JeeSSqXgcDjg8Xjw2muv4amnnsLLL7+sk3wjgrhACYJQkjVttSnddDoNr9eLaDSKjo4OdHZ2rjheLUlubm6u4p70OirDahTxrfbtAaLDsFgs4CHA7XRAlDLRviCkkU7GkYxE4Y2mNblv9Yjk1VoolpINaFSQc5ckCTabDY899hh+97vfYXh4GJ/73Od0km80kHaB5VjTVpOuj0Qi8Hg8YBgGw8PDiuCnGGpB8rIsKzXEPM9n7BkraPVZCsqN5BuZyKpBofOvRMTXiO10m0F4p9aYVhP3oXEMC4OBA2CGLAOikAaMImKxeNZ9o0m/EmMesqVWD7EfUF0lATn2ZiV5AmKIdsQRR+Dwww/Hxo0bAeh78g0DuvadvCylvjCVkC4h0fn5edhsNgwMDJRMomoL/XJBZxYAwOVyaUbwlWK1pevLQakivpWc+BrBSlhr1DO6zQXDZIR8bW4n2toKG/MYDIZlpF/qmLUmSjVEhuQ7mjVdD2S2dr/2ta+hra1NMUUjgsTGmjn3UuSK68ohePL5ckiHCE1isRi6urrQ3t6u6XjlIBKJwOv1AgBGRkYwMTGhyTg0Glld3wyo1Imv1qhXJF8Pko+nJTiX/wISJb7LZ8xDRHz5FmuE+PMtuOtppQtUt7hQIxtQb3AchwsvvFD5b5KZkGW9n3zdUaj2vRyQm1nKhBIKhTA1NQWGYTAyMqJMzOVAq7p8IvzLzSw0GvnWUpPQjJFuKU58QIY8ZFlGPB6vqRPf3kDysZQEmWHByOKHP2UgMywktrAjJMuyWTX69GKNqPeBjDEPTfrEhAaoT20+OfZKUa8shNoQRVHJRtAeKjrJ1wkr1b6XAzoSLfQdkiTB5/MpNdB9fX0Vp8DVJjlBEOD1ehGJRJYJ/2pBqKVcv1zUcuHRaIucclFIxEdIg2hCtO7SthpK6EoBSdOKnBWABEYSAYaFzHBlldDlLtYEQVBIPxqNIhgMAoCi16gH1Mgg0PqnZkbudoPP50M4HNZJvh4opfa9HKyUbqYd4tQoQVOTeFeqy6/FBNmM0XKzghbxEVfF/v5+JUWspYhvbyjZAyilOMMA4CCrtNdsMBjQ2tqK1tZWANkZGqKfmZ6eXtYrQUvyVDOSb+Y9eRqRSAT33XcfHnvsMczNzekkX2sQ8wU1+76TBzxfrSdp4KK2Q5wadfnENrdYXX4tU+OSJEGSpBWjSH1RoB5oEZ/b7VbEYMSSs9nb6a7m7AGdoYnFYvB6vXC5XEin04oxD8No2yBJDZJfDXvyBIFAAD/5yU+wfft2HHfccTjxxBN1kq8VSHqeqOfV7PueL5KnG7i0trair69PtYmxWuIVRRFer1exze3q6ip6LWqVrvd6vUin0+A4DjabrWgHsGZPoTcC8pFRrhis0L5wJU58e5Pwrl4LUYfDAaPRWNBbgSzqyL0zmUx1N1RaDep6IJNZ+f3vf48XXngBt912G9auXQtAL6GrCSqpfS8HuSRP91fv7e2Fy+VSfbxKSY50tZMkCYODg0rqT4uxSgVtBdnV1aVMTnQHMEL69VCF1xqNlKnIJ+Kj1d+VOPHVmuTr0Q2uHmMC2YKvfN4K5N4tLCzA7/dXbaikZglds0byJCv8yiuv4Mknn8Rll12GtWvXIpFIwGg06iSvJaqpfS8HdLp+cXEx41esQn/1Qqi0Lj8QCGB2dhZmsxkDAwNKV7uVxtIKsixjdnYWCwsLAIDe3l7wPK9cT1poRAiFYRhlkVZrVbjWaIbsBM/z4Hkera2tWd7t0Wg0K1rMJ+Jbzanzeo+5EtkW2pYhpD8/Pw9gj70yIf6VjHnUmFdXSyT/2muvob29HaeddhoAKHO/TvIagbamBcqvfS8H5Ht9Ph8ikQicTid6eno0e2jLnTBFUcTU1BRCoRDa2trQ1dVV8qpZq8k5nU7D4/EgFouhvb0dfr9/2f2hhUaEUAiZCIIAj8eTlV4mhKKjNFRLRgyz3Ls9mUwWdOKjo8xaYW8h+XLL0Oj3JtdQiXTYAzLvIL0tk6vbUcMvv9lL6Mi9XlxcxNTUFJ577jmYTCb09vaira1NJ3ktQNe+k8hPS6RSKQAZpXpfX5/mnZTKId54PA6PxwNBEDAwMACHw6HZWKWCKPoBKHa5hBCKHQchlGQyiWQyic7OTkUgRlvwNqNAbDWAiLzMZnNWtEhIP5FIAAB2796dtf2ipZvi3kbylY6bz1CJJn2ydUa/X6StbrXnSrZRm/VdJfdbkiSMjY3h2muvBcdxaG9vx9q1a3WSVxNEXDczMwOLxQK73a55upmk5wGgp6enJq0SSyFe+thMJhPWrFlTcS2tWiRPK/ppw51kMlnW95B7StKPQPakFI1GswRihFAqKSdaLVsB+aA1GeWK+BYXFxUb52pFfI2MRkzXlwuO4woa89AeC+ReRSIRWCyWioi62UvoyPGnUimccsopuPDCC/H222/j9ddfx5///Ged5NUCXfu+sLCAtra2vL3Y1QKdAnc6nQgGgzXzdyckX2gykSQJ09PTCAaDcLlc6OnpqXjiVGvSoK9XrqJfDVvb3EmJriGmy4nIXqPNZitZZNQMe+XNAPIMErMlNUR8K2FviuS1XBwVEmAuLCwgnU5jenoaQGULtmbfkyf3et9998VTTz0Ft9uNs846C2eddRYAfU9eFeTWvlfTFa4UxONxTE5OQhRFDAwMwG63IxgM1txqNd9kkkgk4PF4kE6n0d/fD6fTWfVY1Z5XIpHA5OQkBEEoSdGvBvK5vJHUPlEWN3rXttWG3JRyIRFfbslXNU58exPJ13JMcu+i0SgMBgO6u7vzWieTbFuxTFo5e/J+vx/bt2/H3XffjcXFRWzfvr3gZ+PxOM4++2y89957eO+997J+Nz8/j2uuuQbPPPMM4vE4jjnmGFx++eXo6urK+tyDDz6Im2++Gbt370Z3dze+8IUv4B//8R+zPkOO+9RTT8V///d/495778XFF1+sZJZ1kq8ChWrfWZbVpEsbSTf7fD6YzWaMjIzAaDQqY2nZGY4GeahyyTcYDGJqagpGoxGjo6OqKPurJXlyTMW2DMqN5Ms9JrqcqJjhC/EEJ/+aPW28EmpNDMXGK1fEZ7FYYLPZVlyY7Q2EC0CVvfFKx2VZNu+immRpgsFgViaNJn2ylw2sHMk/++yzuPDCC3HggQeWtCD//ve/nze7GolEcN5552HffffFvffeC1mW8aMf/Qjnn38+7r//fmV76Q9/+AOuvvpqXHPNNTjyyCPx7LPP4pvf/CZkWcanPvWpZdfB5XLh05/+NG655RYMDAzg9NNPh8Fg0Em+UhSzptVCLCYIAqamphAOh5cp1NVIN5eD3PEkScLMzAwWFxfhdDrR29urGkFVei1pM6ByjqkWE1Uxw5dIJKJ4ghNhUbGtER3aYCURH+3ERwg/n4hvbyH5etTmFxqXXlTTCzZC+oFAAAsLC/jpT3+KyclJrF+/HuvWrUNvby96enoKjnXooYfi+eefh81mww033ID777+/4GfvuOMOPPvss/jlL3+5LPK+8847sbCwgG3btimanmuvvRbHHXcctm3bhs985jOIx+O4/vrrccEFF+CEE04AAJx00kkYGxvDDTfcgLPOOitrUUICy7PPPhterxc33HADZmZm8NGPflQn+UpAovdC1rRqR/LRaBRer7eggQwpz6sHydPGO319fXA6napPMOWeF+3VX4oZUO7vVpok1T4/er8xN20cj8cBAGNjY1n7+SvVD1eCenm71wrVkF++hRkhjXzGSeRe1SuqrocZTr0i+ZW0SPSCjTbm2bBhAz744AM88cQTeOKJJ3DTTTdheHgYRxxxBD72sY9h8+bNWd9TaiOe1157DT/5yU/wi1/8Am63e9nvH3/8cZx44olZxlpWqxUnnXQSHnroIXzmM5/Byy+/jGAwiDPOOCPrb88880xcf/31ePHFF3HUUUdl/Y7c83/9139Fd3c3fvOb3+Dee+/VSb4c5Na+F3Kuo1NA1Y7n9/vh8/lgtVrR399fsA5brTFLATnnUCgEn8/XUMY74XAYXq8XLMuW7dVfTsSs1YIqN208MzODZDKJlpYWxTRkfn4+q364kPVuo6OZsxO5Qst8xkkEsVgMZrMZFotF8/Ot10Ktnun6csclaftLL70Ul1xyCZ588km88cYb8Hq9ePHFF3H33Xfj7rvvxp/+9CcMDw+X9d0LCwv46le/iosvvhjHHnssvF7vss/s2rULW7ZsWfbz4eFhPP3008pnSK07jZ6eHphMprzfSyDLMs4991x88pOfxBNPPKGTfKkgte90qUihh0sN4V2x9qtajVkuZmZm4HA40NvbW3fjHVne04/ebrejv7+/ZOJrZKIhGo+2tjbFNIQuJSIR5GorA9MCWi4q8hknEf+EeDwOr9dbcXVFOaiI5NMJMLHFTDtamwvgyjd0aqR0fTlgGAb9/f0YGhrCpk2bIIoi3nnnHfj9fgwNDZX1XaIo4utf/zo2bdqECy+8sODn4vF4XkGy0+lEIBBQPlPIU8ThcCifK3YsFosFp5xyik7yK4G2pi21cxzLskq0XwkikQi8Xi9kWcbw8LASLRRDrdL1qVRKqcsvZfFRLUo5L3pB1NnZiY6OjoqOqRzhXa2Qe/4sy+aNIKPRqKIqpslEjSYgqwm1uA50NmZubg7t7e2wWCzKwoyursj1ba8W5ZI8E5wCE/UDYAHIYMI+SM5+wLY8zbzSuPUU3lUD+tg5jsPGjRsr+p7rrrsO8/Pz+MUvflH0WrhcLqXOn0Y4HFbS+263W1nA5yISieTdBggEAnC73WAYRgm6JEnSSb4YionriqFSwpVlGXNzc4phR39/f8llVbUg+VAopKTCAaC1tbUmL3ax8yLlhJIk5e1HXwq0XBBojdwIku78RTcBIdFjI5Xq1UNdX0vQpVnFRHzELVGNLZiySD4dzxA8HbnLMtjgFCSLA2BLz87la3NdC6jxDKl17A8//DB8Pl/WXjm5H5s2bcJhhx2G3/72txgYGMDExMSyvx8bG8PAwAAAYGBgAIlEAj6fL6usbmZmBrFYDP39/Vl/m06n8eMf/xjXXnstFhcX0dbWBiCzINBJvgBoa9pyu8ZVIryjvdQriUa1KtsDMg+qz+eD3+9HS0sL2tvbMT4+XpNJs9A1oB31yml4UwyNQtyVglYVE4ERLQ7z+XwA9l7r3XotKvIJc0sV8RUtqZRlQBIBlgWY7LLWkoKRWBCZCJ7+IQPIEpCKAubS/STqka4nWdZqxlXTt/7WW29FOp3O+tkbb7yBb33rW1lK+tNOOw0///nP8b3vfU8R8sXjcfz1r3/Fl7/8ZQDAYYcdho6ODjzwwAP44he/qHzfww8/jI6ODhx++OFZ48RiMTz88MO44oor8KMf/QjXX3+9Mm/rJJ8DUvsuCELJ6flclCuCI2IxhmEwMjKi+DeXO6YWJEUvPrq7u9HW1qZ45deK5HPHoR313G43uru7q96Xq/aYGhG0kQtQ2BrUbDZnNXCp9TGuVpRKuMVEfHRJJblPVqsVFikOdmESEAWAZSC3dAHu/vIieYYBkOc5ZqAsGkpFvcr2gOoIWs02s4ODg8t+5vf7AQBr1qxRfnbGGWfglltuwWWXXYbLL78csizjyiuvhNVqVdT0BoMBX/rSl/DTn/4Uo6OjOPLII/H888/jxhtvxDe+8Y1lC/NEIgGz2QxRFPGnP/1J+W+TyaSTPI1K0/O5KFUElxsh9/X1VayS1oJ46MXH6OioQha1rMvPPa/ckj21vfpXM+nkswYl+/nBYFCZ8GZmZmC32ytyeCsH9UifN8NCppCIjxi7hOam4I5NgzXZwH+4929YmoEMQLZ3ljymbHWDCfsyGQHyeVkGGA4wWss65nqo69WoJKhHL3m73Y7bbrsNV155JU499VQAwNFHH43bbrstS3917rnnwmAw4Oqrr8bU1BT6+vrw7W9/G2efffay74xEImAYBna7HYcccghuvvlmfOQjH8HExIRO8gQr1b6Xg1IieVLLHY/HlQhZ6zFLBa0NyKdUrxfJE02A2iV7tTYTahTkuoQtLi4qkUeuwxvZz2/GUj0azaYByOfEJ3reQJp1IC2IyiKNZVkYo2NIdJfxThiMkJwDYJemAFHMED3DQWobqSiSr3W6Xg2CrvQ7LrnkElxyySUrfu6II45YZmkLZErhbrjhhhX//uyzz85L6rlIpVKK1mZ0dBT/+Z//iZ6eHoRCIZ3k6dp32pq2GqwUyS8tLWFqagocx2VFyFqOWSrS6TS8Xi+i0Si6urrQ3t6+7HrUmhSJe53f70drayv6+vpU30cu5543S7q+HDAMo0wSvb29YBgma59YK+vdZiPdSsZT8xwZhgHPyOBtdmUMQRCQSqUgJqJYDCwADIvp6WllYVZ0cWZzZ0R2yUiG2E22sgmeHEczR/LNqksh193v9yuapN7eXpx55pnYunUrHn/88b2b5CVJgiAIVafnc0FEcLkPPm21qjZZqRHJk9I9AEW1AbUkeaKR8Pv9qmQ8VhpLRwa5/b0L7RNX07FttafrNTOmMdmBWBDgeGVxxhsMgMUMxt2H6ZkZWK1WJBKJ0kR8LAdY8tdkl4p6pOvrGck3CrxeL37wgx9gamoK7e3tADILljfffBNApnfHXknydO07efHVXm2Tccj/p/eSe3p6lHpGNceslORpIxm6z3qxscjfaQnSDUyW5YoFiaViNe/Fq4F8+8SkwQ7p2Earxkmp3t58XbUiedk9ACa6CIhpgOMBSQKEBOSu/ZBRzQHt7e3geb40EZ8KTnzNmq4n96hZI3mz2YyjjjoKTz75pCKIPuSQQxCLxQBg72xQkyuuU5vggeVd2oLBIKanp2EwGMq2Wi1nzEpIt1xnPUB7kpdlGYFAADMzM0oKWUuCp8ctBbVM1zfi1gC9T0x7geer+6ZTxrkTaT0i61URyRuMkAcOABPwZNLsvAly5xrA0gL5w20VMgetJOKju7NVap5ULytdNcals7jNiI6ODnzxi19ET08P7rzzTkiShF27dild6j7ykY/sXSRfTe17OSAPjCAImJmZQTAYbBj7VxrRaBQejweyLJdlJKMlyYuiiOnpaSwtLaGtrQ0cxyliMC2xN0ec1YKQhMViQVtb27K6b1KqR6x3bTabJn0OSj3WVTGmwZgh9hwUI758Ij66nW6ueVKpGZl6pbz1SH6P49/4+Dh6enrwwgsv4Pvf/z6OPfZYnHXWWRgfH987SF6N2vdyQL57YmIC6XRas+5suWOWmq6X5Uxf+tnZWVitVgwMDJTtgqZFhJlIJODxeJBOpzEwMACHw1ETgidotIi5WZFb901Hj7T1Lsuy4DgOyWRS01I9gnoJ7+oxZqnOnGo48TVzJN/se/Lk3KPRKBwOB+bn57F+/Xp84hOfwK9//Wu8/fbbq5/k1ap9L2e8SCSi/LdW3dlyUWq6XhRFeL1ehMNhtLe3o6urq6LroTbJk4oDnuexZs0axQmqVunqvV1dryVyS/VSqRSi0SgCgQBSqRQmJiaUUj06elQbqyZdX8KYlaBSJ756kTzdLKza72jWSJ6ANL2xWq047LDDcOqpp+KUU07BT3/609VN8qIoIhgMguf5mkQKdKoZyJQy1CotWQrxxGIxeDyegn3pyx1Pjbp8SZLg8/mwsLCQd0ujloSqE7f2oK13Y7EYGIaBy+VS6r1JqR7P88p+vsViacpJuF4kr5bOqFQnPrIgT6VSNe2ASBT9ezPJk/sdjUbx6KOPwuv1IhaL4eabb4bVasVBBx20OkmepOeTySR2796Nvr4+5UHUCvF4HB6PB4IgoLu7G7OzszV9uYuRLhGyzc7Oqubzrgb5EsvceDy+YsWB1lEYwzBIJBIYHx+H0WhUCCbf4nC179/X+rklEWF7e3uW9S5x4gP2qMHJfn4lx1hrBXg9SV4LFBLxkYXZ/Pw8/H5/zTogqnE/1fSurwfIcf/93/89BEFAOp1GMpnEI488gmg0img0uvpInq59r0WpF02gJpMJa9asAcMwmJ2d1axhTD4USteLooipqSmEQiG0tbWhq6tLlQe6WpKPRCLweDxgmIxffyFDoHzliGqDLArD4TBsNhskSVIc38h+JCF9esVfL5tUrdAIdeu51rt0Vz2iBmdZNqsvezmlejW9X7El2OZ2gZWWALMF6BoGLCu3jc6LeBiM7wMwqRhkkw1y974Z45oc1OqZpEV8JpMJHo8H3d3dSrRfqYivHKjRZrbZI3mCzZs3Y/PmzXl/t2pIPl/tO8uymnZno/e3aQIlveRrOWkS0qVfcjq7QIRsaqHSkj1ZluH3++Hz+cqqydcKJJsgSRJsNht6e3uV44zH40otONmPNJlMyvHWYkJdTYuISpCrBqeFYfPz85ifny+5RWtNFzGRIAyT74GRJTC8ERAEYNfrwOgmwFJmO+RYEOyulwDWAHAGMNFFMB88B2n0cMCSveVWj4UnmV8tFgt4nte8nS6BGue6WkiehiRJSpDLsuzqIHnamhbIrn3XiuTJ/rYoisv2t8nqspaRfG7WgrRhJdkFtbcrKonk6UVRI9Tkx2IxTE5OAshMPiQNTNKAtOMbrRAnwsqxsTFlsio3oiwHulYgg9xSPUmSFGFYNBrNWojRRi90tFczApzdDclsARIZgxKwHGCyArMTwMjGsr6KmXon0/OdnAdnACQGzPS7kNdktxxtFHvZSkR85Wov1IzkmzVdTzA7O4tEIgGe59HR0ZG1Hdv0JE/XvpOVCw21BGIEdCRqsVgwMjKybH+bPOy1TtcDmZfJ5/MhGAzC5XKhp6dHkwe4XJKnswrliP60IHnSjGVmZgYWiwUDAwPYvXt30TFohfjS0hJ8Ph9cLhfi8XhWRFnM/EVHNqolJHoh1tHRkSUMo0v1zGYzbDYbRFGsXYMdIQniPgdyjiwHpOJlfxWTjmec7WiwXCZ1n/PZRiH5XFTSTtdsNhedu9Q413pVBqgFcg1uuukmTE5Oor+/H1/72tewY8cOjIyMoLu7u3lJvtTadzUjedodrlj5Gckk1DpdDwDj4+MQBAH9/f1wOp2ajlfq+S0uLmJ6ehomkwn77LNPRaI/ta6lGr3oybV2u93K80WLxXL7tFcjFtNROnKFYfR+/sLCgiIWm56ezsq+aAKOh5xKAAAYQvaSBPAVZNRYQ3Y7WACQZcjc8um7nun6ct4jNZz41IrktS6r1hLkfj/66KP4+Mc/rgS6t9xyC8xmM374wx82J8mXU/uuFsmT5i2lusNpqQXIh2g0qvx/LdLzuSiF5CVJwszMDBYXF+F0OtHb21sxoapB8qlUCpOTk3l70ZezaMl91liWzWv+QtThRCxG70VWW92gozjoUj1ivbt7925FM0P2iHmez7ovqmVfOgeB916DEmrLMpCIAsPry/4qqX0Y7Oy7gMGcIXpZhpxOQO5fnvZXg/jKRbXvZqVOfKIoVr1Iq4fnvpogc1EymcTll1+OrVu3IhwO44orrsB5552He+65p/lIXpIkpFKpkldg1ZJtbvOW/v7+kh4stbcJCoEmUgAYGBjQnOCBlUmRJtTe3l643e6Kx1EDRM3Psqxq/QMKnX+u+Us+ARIhF5vN1rR14NWillEnya5ZLBZ0dnYqe8REWJmbfam6cYujHemuYbCT7wPJaCaCH1oL2J3lf1fbAGRJBOPfDcgSwHKQe/YHXL3LPlqvdL1atfnAcic+IoLNfYeAzPZkKBSqWMQnSVJTv3vk2pPSubvuugtf/OIX0dHRga1bt+Lzn/9885A8Sc8T9XypKZZq+qzTvdU7OzvR0dFR8oOsVn/3YqA727W3t8Pv99d00ix0fuFwGF6vVxVCrTaSL1XNr9X2Sq5YrBC5VNOyVUfpINe1mPXu0tJSVrq4mGdCMUgtbkR79wfWLPeYL/OgIXeOQO4YAkQhsz9fJz+JfNA6e0B7KQB7RHyzs7MQRRGzs7MAKhPxNXskT2uxTCYTzGYzxsfHsXPnTrz11lvYZ599moPkq7GmpUvaygEhKoZhMDw8rEwGpULrSJ7YwBoMBqxZs0Yhs1rpAPKdnyzLmJubw/z8PFpaWtDf31/1Krkakqc9Aqqx8C10TJUgl1zofePclq2kZr/WWK0LjFKFlbnpYvJeEetdQvorRY6qv4sMCxiKb/NUTVrxUEYcaHEAxtLcOmu9sCDvEPlf4phYroiPlF2Xcr38fj+2b9+Ou+++G4uLi9i+ffuyz9x33334/e9/j4mJCbhcLnzsYx/Dv/zLv2Rxx/z8PK655ho888wziMfjOOaYY3D55Zejq6sr67sefPBB3Hzzzdi9eze6u7vxhS98Af/4j/+4bEyfzwdRFBVPj1Qqhfvvvx+7d+/G4OAgLr744sYneRK9VyqQKDddL8syfD4f/H4/7HY7+vv7K0oDaRXJS5KE2dlZBAKBLBvYZDKp/L4WyI18aVFiuVmPUlDutUwmk5icnMxqdlMM9PmUOmmpcX/z1YGTKN/n8ymfm5ubUyYsrSKPRjDDaYTxctPFdKke7fCW6+Gej0TqlTovGYkoIKQAowXM2AtgosE9WwJtA5CHDiqYNah4TJVAOKESER+tiVnpfXr22Wdx4YUX4sADDyy4Vfv73/8e//Ef/4ErrrgCRx99NLxeL/7t3/4NX/3qV/Gb3/wGQGbL8LzzzsO+++6Le++9F7Is40c/+hHOP/983H///Uqm4g9/+AOuvvpqXHPNNTjyyCPx7LPP4pvf/CZkWVZayJLv+8pXvgKe55VgKp1O47DDDsP3v/99vPbaa7jtttsal+Rza98rVUCWQ/KpVEqxWe3q6kJ7e3vFD68WwjtyfIlEYpkNbC3c/WjQpEh74leS9VhpnHIRCoXg9XphMBgwOjpat7am5YJO7QN7yiGj0WhWhEKnkLW0DdWRQa5ngiAIypZL7n2hI8d6kB+TisOyMAeEJoH2fsDVs6e+nkYqAea9Z4FYCIAMJr6Uidxtzj3fNT8B2eYCOoaLjlkPsV+hcUsR8e3cuRPf+MY34HK5sG7dOhx++OHo6uoqWI106KGH4vnnn4fNZsMNN9yA+++/P+v36XQaN910E7797W/jlFNOAQCsX78e3/3ud3HuuefC4/FgYGAAd955JxYWFrBt2zblHb/22mtx3HHHYdu2bfjMZz6DeDyO66+/HhdccAFOOOEEAMBJJ52EsbEx3HDDDTjrrLMUQjcYDDj99NMxNzeHd955R5mPX3/9dYyPj+O3v/0tLrroosYkeVL7TncZ0ppsQ6EQpqamlH3kQjarpULtPV5CXBzH5d3nrgfJS5KEQCCAmZkZ1Tzx840DlHZe1WwXVKKu1/pacxwHo9GIRCKBkZERpNNpJconiuNadG/TEo0Yya8Eg8GgWO/SkWM0Gs3acuE4ThEKa2WUlIWgD46xF8DxPBjBAQSmAbsb8oZjMjX6FJj3ngOTjGaIXZaAcApMOgnZZAMMHz5DvAmMbxfkFUi+XhmLUsbNJ+ILBAI48sgj8cILL+Dxxx/H448/jquuugrr16/HUUcdhU984hPYZ599lO8gVRqFwPM8HnjggWUVV+TYiHnW448/jhNPPDFr7rZarTjppJPw0EMP4TOf+QxefvllBINBnHHGGVnfdeaZZ+L666/Hiy++iKOOOgpAZjvi/PPPRygUwp133qnw3JtvvolgMIivf/3rePPNNxuL5GlrWrXqF1cieboLmlr7yKWMWyro7YNix1cPl71UKoXp6emK681LQamEKooiPB6PZtsF9QYdoZCSMNrtjU4h093bGllUVA8nP7WfiXyRI6mmCAaDEEURu3fvLtoDQRXIMpgPXoFkMIHjjRlXPM4OhPzA7DjQu4e0kIgCsaXle+4Mk4nsW9v2/EgSlxnuLB+6fgY8lZTktrW14ZprrkE0GsUTTzyB8fFxvPvuu9ixYwfeeustvPDCC/if//mfsr63vb09678jkQiuueYajI6OYr/99gMA7Nq1C1u2bFn2t8PDw3j66aeVz5hMJsVem6Cnpwcmkwler3fZ34+Pj8NqtSIajcJut+OKK67Av//7v+Of/umfcMkllzQWyauRns9FMbKl1ekrdUErF2oI74iveiwWQ3d3N9ra2goeXy0j+WQyiVAoBEmSNDfdISh2XolEAhMTE5AkqSQPg3yopk6+HqAVx3T3NkL4xO2NbuRSi3bLjYxavBv0lgspa2pra1tm51rMerciJKJAOglZljJGe6l4JpIXkmCCs0DAC3n/ozKlfGI656DZzKJAFACJEimnU5B7Blccup61+dU6Ju6zzz446qijMDg4iEQigddeew2dnZ1VHdu7776Lr33taxAEAb/+9a+VBR3p+Z4Lp9OJQCCgfKaQfsjhcCifo5FIJGCz2RCPx5FIJLB+/Xp0dnbizjvvxL/92781FsmrXW8J5G/cAgDBYBDT09PKvq0addM0qhXe0er+UrYPakXyZNuAYRgYDAbNCX6lZyEYDGJqagomkymvxbBa4+RDI3nK093baLe3aDS6LLVfqjq8FmjGdH05KGSUlGu9W1V7VkkEs/tvYPwTsIsi2BgPSEKmMQ5rgMybgMgimLeegHzgiYClFQzHZbvo2dogB6cz6n1RAEQBsqUFcs9+Kw5fjzI0NTznc5vTmM1mHHnkkVUd1x133IGrrroKZ555Jr71rW9l6ZNcLpdSMksjHA4rPiJut1tZCOYiEonk9RuJxWJKpuiTn/wkgEzr2RtvvBH//M//3Fgkr4UinU5jkz0yYh5Dq9PVRqXpenpfuRx1P1kcaZWup7cNWltbwfN8wYdRTRRavMiyjNnZWSwsLMDhcKCvr0+13tLNjly3N9IRjOznk9Q+iSaJ7W6tsVqudyHkO7/cUr1ii7FSdRbM+8+DCXgBkxmIRcEISTBiKrO3LomAvTtD3tEQEA0CdhekoQPB7no5Y5nLcoAkZgx23H1AMgLZ0Qm4+vKL9vKcZzNY6WrxHTSuvfZa3Hffffj1r3+t7JvTGBgYwMTExLKfj42NYWBgQPlMIpGAz+fLKqubmZlBLBZDf3+/8jNy3ePxuCLM+9jHPgYA2GeffdDZ2YkdO3Y0Fslr8aDQJE/S36lUCr29vXC5XJo9nJUQLm2+U4m6XytDl3zbBvPz8zVLfwLZE6YgCJicnEQsFlNtm6XZ0vXlILcjWKFGLoRMUqnUqkztN1rJXqHFGLk3pISyqDtiOgkmMA3wZqC1A3IiASadBiPLkFMxyO6+PXvvsgSkM3766BiEZHeBmX4fSCcgtw9mCL4CwmvWdL2abWbvuece3H///bjrrrswOJh/i+O0007Dz3/+c3zve99ThHzxeBx//etf8eUvfxkAcNhhh6GjowMPPPAAvvjFLyp/+/DDD6OjowOHH76n6yA59/322w/nnHMOFhYWMD09DQBoa2vDcccdl6kyqvrsGhzk4VtcXMT8/DyMRiPWrFmjeeRSblaCeOMDwMjIiFKuUw60IPloNAqPx7PsuLRaUOQil+Tp9rCVXqdSxisFzRqJ5mvkQjfWmZiYyOr7bbPZNMl21ZJ01SCFSsYsZ7x87VkJ4eez3rXZbDCLiUzaHQBYDkmrG6ycBhtbBMy2rJI4sGz2f1taIK85tMqz1CP5xcVF/OQnP8FPfvIT9Pb2LjNf4zgODMPgjDPOwC233ILLLrsMl19+OWRZxpVXXgmr1aqo6Q0GA770pS/hpz/9KUZHR3HkkUfi+eefx4033ohvfOMbed/DffbZB//+7/+u/Lcsy3C5XPjc5z6X+c6qzq6JMDc3V3GTlEpQaiSf641fyHZVzTFLgSzLWFhYwOzsLKxWKwYGBrLShrUieRp0ud7g4KCq5WL1OJ9SoPVx0dEky7KYm5tDX19f3h7ttGp/tUX5WqDavWpaZwEgq4RSaXwkS+hPJsHJDAwGDjJkyJYWIB2FTLrXQQZSccjd+wDGPNojWQYWZwD/FGBtBbpHVnTWyz3PeqnrqxmXfEe1C9j3338fkUhEicZzsXXrVnzyk5+E3W7HbbfdhiuvvBKnnnoqAODoo4/GbbfdlrV3f+6558JgMODqq6/G1NQU+vr68O1vfxtnn332su9+7rnnsLS0pNTn04Ze5L40FMmr/aDE43FMTU0BADo6OpZZB2qJUiJ52iWuo6MDnZ2dVatF1SCEUuxgax3JBwIBRKNRTcv1yj2m1YrcHu20zz5xD6Oj/JrUgFeJZojkVwLP83A6nctMXqLRAVjnP0CCzXjaC4kYmNYuoHd/GJZmM+51wwcC7QPLv1QSwbz2F2BxDuDYzB7+2CuQDzkFaHEt/3we1CNdr4XwrhRccskluOSSS7J+dsQRR+C9994r6e97enpwww03rPi5s88+Oy+p58P999+P9957DyeffDLWrl2r/Jw8ew1F8mqBGB7Mzs4qamu107orgRBuoRedpMFlubTWtaVADeJNJBKYnJyEIAhF7WALVS2oDZL6ikajy9rDqolKrl0jRv5qw2Aw5PV0j0ajmJ+fx/z8fMU14PWyQ10NoE1e4Doe8twwxN2vIx4JIWp1Y9ExCEkwwujaf08GRpbB5l7vqZ1AcA4wUxG+JGaU+EeeWdKx1DNdr8aefCN7SayEo446CqlUCrfffjteeeUVrF+/Hoceeij6+vrQ0tICi8Wy+kiejkLdbjfa29vx/vvv17zRB72XTD+IK6XBqx2zGuIh5WhEt1DM5akWLzVpDwtkzCa0IngaOukURq57mCRJWXvGJLWftWfcIB31VkMkXxAMA6ZrGGjrx8yuXejt7cWw2ZzltU/ElfS9MZlMYGd2LjfFYblM3X0yDphWLi1u1nT9aiB5ADj++ONx8MEH46677sKjjz6KRx99FDabDS0tLTCZTI1F8tU+KMRDXRRFJQolN7LWJE+r+ul2gF6vF+FwWNWuaPSYlZxnbtObUsrRCi1i1AC9ELLZbIhGo5rbtTairW2jo1ANeDQa3bNnzLLL2rXWE6uS5KnxACgeFrniSkL6gUBAsd7ticZglNIw8EawHPXOywDY0po0KdoDWc6k+1luxaY21UINR1RyvRrBL6IaSJKE1tZWXHDBBbjgggvw2muv4Z133lGC3eY+uw9Bk4LFYskyRSEPQb0ieTIu3cRlcHAQra2tmoxZLvEUa3qz0liA+kSXTw/w9ttvqzpGIZAJS0dlyNeuleznz83NKZ8h+/mSJNVcXV9LFCX5eAwYewNYCgAWG7DPJqC1ukxVoeg2t1SPWO9Go1GEY0NoGd+BOG9WOroZGMDQ4s6U5ZU4pmF+AsxrbwJCGuA4yAMbgNGDNCN7NRZQqyWSp4NIjuNw0EEH4aCDDlJ+3/QkLwgCpqamlOi4s7Mz66ZpbRJTCHQkTxYgWjVxISiX5Ek6nGVZjIyMlNWURwuSL9QethYiv0ZIKa8m0Kn9trY2iKKodG6jy8EWFxchSZLSuU2r+9BQ6fp4FHj2kYyVrNEMRJaA5/4EHLoZaO+uajxg5XOkrXfR1gaZEyBNfwAxlYSQTiBqMGPeNgB+YkLJwOTrx07GNIXnYZl7E4zZljknWQZ2vQKZZYCRgyo+n2JQQ+y3WkiegGhhcoOVpib5UsVrWrR9XQnkwZmZmUE0GkVbWxu6uro0faBKPU+6bK8cVz0aamdIirWHrZWSX0/Xa0eCHMctS+2Pj4+DZdmszm25qv1mR97rufNvGTc6/kPNi4EH7K3AOzuAY0+reKyKFjIMA2bDMeBGDwIXmofRZEPa6kTHh82P6IqK3G0XEjw553dmSu7IuAwDxmACJt7MqPo1eKbUyAJV2uSm0ZFrDd9QJF/qTaNJqhTxWj1IPpVKAcik6Yup1NVEKWRI6wKqKdtTi+hoG99iXfZqEclLkoRdu3YBQJZafG8p16vlooW8r06nEw6HQ3F6i0ajWal9cg+qvQ/1iuTzIhjYQ/AEDAskIoAoAhXWbVd1jhZ75h8AHoDDaFxWURGLxeD3+yHLsmK9azKZYBRSec6HyTTCof3xVYQafvn1KP1TE2Shs9L9biiSB1YmKtr6tVSS0sITvxBkWcbi4iJmZmYAAL29vTUheGDlaxePxzE5OVlVtzYC8nJUc13pBUex9rC1iOSTySTS6TTMZjOMRqPiAEfSzqR2vB7CsdWYMaBBp49Jap+QSiQSQTAYBICsjnplN3GhxqoVCqbrTWYgnVzW4x0cV5GtLD0eoO455quoyO2D0GGyIRkLQTAaYeAM4AwcGBkZ4x2NSFStdH0zk3ypx95wJF8MZA+ZYRgMDw9nuQQVQ60ieUmSMD09jWAwCIfDgaWlJU3sQAuh2HkuLi5ienq66m5tBNVG8nQ9/koLDi0nZtLoJhKJgGVZDAwMKJMz7TBGNw8hHQtz7St1qIPcjnq0ap9O7dNR/kqp/YYS3u2zEXjpr0CLY0+UGw0Do+uqinrVqB1fCbnWu5FIBHOJtej3vAQxlUKaSQOyBB4y4muPgTEe10RroYbwjmQkmhGRSATbtm3DSy+9hCuuuKIoFzYFydMp3UqsX2tB8olEAh6PB+l0Gv39/WhpacHS0lJNJ5d8ES/ddc/lcqGnp0eV1Ws1JE+3h12pHp+MpcV1FAQBHo8H0WgUNpsNyWQSHMdBEAQwDAOj0Qij0ag0D4l/uE8ZiUQAALOzswgGgw1XE94MKEckRu4DcXoj94Fu4mI0GrOauBR6xhsikm/rBg44EnjvtUxbV4YFhvcHRjdUPR5Q2z1mlmUhmFvAHP1JWHa9AjkSQJrhEezaDyHGBulDYS+9n6+GQ6IkSVWXvkmS1LS6j8XFRXi9XthsNrz33ns49NBDMTk5CZfLtSxgajiSz53QU6kUvF4vYrFYRZ3ZAO1JPp+JDDmHWmoB8l27yclJJJNJ1d3iKiF5EjWX2x5WC5JPJBKYmJiAJEkYHh5GNBpVdBT5QCJHm80Gp9OJ8fFxOJ1OCIKQVRNO7+U36wTSyKAtdYE9TVyi0aiS2ifpf7o/e0NF8gDQOwz0DAHpD1vCqkDMddUd2F3AoaeAAWAE0JlKoCMcQJIxICpzWWWUdPMjq9VaEVlXK7zLqu9vQnR2dkIURciyjB07duDQQw/F3XffjTVr1ig95QkajuRphEIhTE1NKSVelVrTsiyrSWqVjpJzm9/Uoz6fLhXMVauTFLOaYwGlkzwdNZN2teW8pGpO0ktLS/B6vVlbF9FotGx1vdVqhd1uz6o7zo0u6aYuzTqhaIlqCSlfaj/fFgvJFtXqfSyJcBkGMBbPYqk+pspYVoYmy2DefAqYeAuMKMLCsrC09UI+/DRILJfXIdFkMimEX+p7Ui1Bq9Wcpl4wmUw45JBDIAgCNm7cCCBzL55++unmIHlJkuDz+bCwsICWlhb09fVVlZrRIpJPJpPweDxKlOx0Ope9XLUU/JHxyLVbSa1eLcohedIeVpblihZrak1a9LZPbiaBjFGpmEupO0Z2dEn3a2+2pi5aQov3It8WC1l8kS0Wr9db08VXQ6j5azCmcp6T7wC7XgNjNO+pEvB7gdceB/uRU7LKKAVByPue5GZh8l3DakVz9VgQqY2Pf/zjuPbaa/HSSy8hnU5j165dCAQCuPbaa2GxWNDe3o7BwcHGI/lUKoWJiQkkEomKIr58UJvkl5aWMDU1BYPBULQ3fa1NeGRZhiRJmJ+fr3hro1SUSvJqtIdVI11PK/kLXZtyI/lCyI0uSb92uqkLcX5rhDK91Yrcunuv14v29nakUqllpJJb/10t6rk9UC8rXQBgxl4Bk1tOxxvB+HZDJpa3H6KY9S6dhaFT+2T+qFZ4V0kHukZDJBLBxMSEMu+TAO/ll19GOBxGJBJpTFvbqakpCIKgaopZLbLN9Xjv7e0t+pDUMpInNawAyqo8qBQrkTy9lVFte9hqSb4UJX8lE0Ypx0RbitJNXXKd32iioaOXZo40SkGtz6+lpQU8z2eRSjQazar/plX7lWYQG8phT0Msq9UWhbwVArIsA5K0vGzwQ+Sz3s0nsCSLY1EUqzpu8vfNvLi22+34j//4D+Ucnn32WVx55ZW46667lM8EAoHGI3lSwqTmCkuNSL4Sj/daqPpleU9bXZ7nkUqlatJWtxjJp9NpTE5OIpFIqCb4q5TkiTaB5/miSv5auerlNnWhiSY3erHZbJAkqaYeD7UiiVpHurnj5ZIKXT1B0sfAnv1iUj1RKinsLSS/bMyOAWDy7WxzHEkCLC0ZgWGJKCSwJP8AYGFhAdFoNGs/v9TzXy2WtvTxRyIRxONxAJl5hed5uN3uxiN5nuerXqXlolqyJUTBcVxZGQatiUOSJExNTWFpaQltbW0wm82YmpqqycteiOSr8cMvNla515F2RWxtbUVfX19JC8dc3+dCx6MW8pWH0UYjBH6/Xy/TqwIrkS5dPdHR0VFwv7hUXcXeSvLyuqOBuUkw8XDG6lZIA5wB8iEnVDUOvQUmSRI++OADtLa2QpIkpbqFvj8rbb00u/AuH2jxMMdxyrk3HMlr8ZCStHm5L4Esy/D5fPD7/RWJ2LSM5PM1cyGp31o4OeWSvCxnt4ct18uglLFKBd3JrpiTXu4YlSwk1ERu9CIIAubn5xEOh5eV6a0Wf/dak1Kp4+XuF+dau87PzyulYCS9T88NewvJL5trTBbIHz0X8u43wcxPAC1tkPc5RLHMVWtMAEpGrJj1bqGtl3Iieb/fj+3bt+Puu+/G4uIitm/fvux47rjjDtx5552Ynp7G8PAwLr30UmzZsiXrc7t378bVV1+NHTt2AABOOOEEfPvb387aPiz1u/IhnU6jt7d32c8bjuS1AG3BWupLkE6n4fF4EIvFKhYAaiW8I8I/nuezmrmoYTVbDggx0hkF0h5WbWvNUs+JXvxo1dK3VjAYDDCbzYhEIlizZk1ef/dSTWAaDfVO15eDfNaudMaFpPbNZrNCKITwVzvJ5x2TNwL7HgJ530M0GxPIrojJd39yS/WMRiNSqRRefvllrFmzBg6HY8Wg7dlnn8WFF16IAw88sOCC+mc/+xm2bduG6667DuvWrcODDz6ISy+9FDfddBOOPfZYAJlGZZ/+9Kdx8skn45FHHsHS0hK+853v4MILL8Ttt9+uvLelfFeha7Jp0yZ0dHQo10QQhEzr4DKubdOCbvtayiQYDofh9XrBMAxGR0crTjmrLbzLNZPJFf5VazVbLoj169jY2LL2sGqPU8piKRwOw+PxKFUPKznp5Y6hlrpeC9BlerS/ez4TGLWV4qsJalwPOrUPQLHdjcViWaljIPNMchxXk5LJhiF5jbFSFJ57f8jWSywWw4MPPohbb70VQCYTcPjhh+OjH/0ojj76aPT39y/7rkMPPRTPP/88bDYbbrjhBtx///1Zv5+ZmcEtt9yCrVu34rDDDgMAnHPOOXjzzTfx85//XCHmX/7yl3A4HPj+978PlmXhdrvxs5/9DFu2bMFTTz2F448/vuTvIhAEAaIoKkLddevWYd26dco1eOmllxAMBhuP5LVK1wMrG2HQddSVtmDNHVctEx46s1BI+FcPA56FhYVlGQUtUIyAZVmG3++Hz+fT1BugnGPSGvnK9HKV4gaDIStd2Uj7j7VOZ2t5r3ieh8PhyOratrS0hKWlJQSDQQSDQUUVruW9qEfDlXqMWe6zQ2+9XHjhhdhnn33w5JNP4tVXX8X27duV9PvQ0BCuuuoqHHLIngwEEWcWwhNPPAGe53HyySdn/fzMM8/EueeeC4/Hg4GBAWzfvh3nnHNO1rXq7e3F4YcfjoceegjHH398yd9F8Oabb+Lmm29Ga2srDj74YAwMDKCrqwtutxsA8Pbbb+O//uu/Go/ktUApJE93t1OrxlytdH00GoXH4wGAomYytUrXE1GbJEmKla+WBFLsPtBbBY3QOrceKKQUJ7X5dJletV3cmhW1WlSQ1LEsy1haWsLAwEBW1oXcC9LZ0Gq1qiam1CP5lcHzPE455RR85CMfwcLCAiwWC/72t7/hueeew+uvv475+fmyvm/Xrl3o7u5ethAYGhoCAHg8HjidTszPz2NkZGTZ3w8NDWHnzp0lfxdN8u3t7Vi7di1effVV3HPPPbBYLLDb7XA4HGhtbUV7ezuOPfZYneSBjCLc6/UCKE6ilYxbDWnQEWopYrZaEBVtKsOyLFpbWzWPEAul0ok3fyqVUm2roJQJq9EXBPnSyYTwSRc3ukyvmnpwHflBq5zJ5Asgy3aX7qinhpiyEsKVU0kgHARsLWDM5W9LNhvJ09/BMAyGhoawYcMGfOYzn6noe+LxOJxO57Kfk58FAgGl5C/f51wuFwKBQMnfRaO/vx+XXHIJBEHA2NiY8s/r9WJychKTk5Ow2+2NR/JaPDCF0th0mZXainAybqWRPK0QL1XMpnW6PtdUZmZmRpNxcpGP5OlSPTW2ChqVuNV4H3ieh9PpXNbFLRqNKmV6JpOp4iqUSlCvdH29x8u9F/nElLQbosViKXkRXY6fuyzLwAuPA+++CkgiwLKQh/YDjj8dTAHDmnxQoxtcuVDjXqrleOd2uxVhHw3yXrndbrhcLjAMo2Rxcj9H0uulfFcuyLbc/vvvj/333z/vMTYcyWsBciNp8hMEAV6vF5FIpKo0bzFUGsnTZFqOQlzLdD2t6CeittnZ2ZoatZD/1apUr1Gh5jWmy/Ta29uz6sEjkQhkWcYHH3ygkMxqKNMjqKfdaz7kE1PSqv1yt1nKWpy9swN480XASmUtx9/JlLodWXpNezNH8kD1JN/f34+ZmRmkUikYjUbl57t27QKQMXczGo3o6urCxMTEsr8fGxtTUvClfFcu6OAkN7gjToTNUW9TJXIj3Gg0ig8++ADxeBxDQ0Oql3wRVFInHwwGMTY2BpZlsWbNmrJKwLSIRomi3+PxoKWlJUu1XiuXuNxSvdnZWbS1tWF4eLhutfi1OnetQURJPT09cLlcivJXkiTMzc1hfHwc4+PjmJubQyQSqamoU000w73iOA52ux1dXV0YGRnB8PAwOjs7wbIsFhcXMTk5ibGxMUxPT2NpaQnpdDrr78si3DdfAiw56XmTBdj5+p7vC8xD9uyCHIsU/Jp66QAAdSL5akWDJ554IgRBwF/+8pesnz/88MPYtGmTQsynnnoqHnrooazn0OfzYceOHTjttNPK+q58YBgGHMdl/WNZFgzDNF4kr6W6XhRF+P1+zM7Owmq1YmBgQNMopZx0Pe2Ln9u2tpzxAPUmtJXaw9aa5MfHx5FIJNDf359370pHdSAr/7a2tqwyvVgslrdXu81mq7hMrx7p80aL5FdCrhtioXbGJDNTVo91Ib3cY55hAFGElIgBD/0BWPABoggYDJD3PxDMsR9f9v3NquhXy/HO6XTivPPOw9atW9HZ2Ym1a9fikUcewT333IMbb7xR+dz555+P++67D1dccQUuvvhihEIhXH755diwYQOOOeaYsr6rEObm5mC325eVfDccyWsB8mAGAgEkk0lNDFvyodQ9TtoXv7e3V9nDqWQ8QJ09+Xg8jsnJSUiSVLDhjVZmP7kQBEHxYlazcRENeoFUjvhuNaNQr3baZ7+Y69veDLUXMXRqH0DeBRiQefcDgYDS6EiemgCeeQxyNALGYgUO3wx2zf5ARy8wtSu7n70oAE43sP3/AYF5wEy9Z2/tgNzdD2a/A5adZz3S9dWOuayxThW47LLL4HA4cNlll8Hv92N0dBTXXXcdNm/erHymp6cHt912G7Zu3YotW7bAaDRiy5Yt+Na3vpX1zpTyXfnOhWVZ3HDDDfj4xz+Oo48+Ouv3DUnyakeIRN2YSqVq6oJWCnEQ4x0iIFODwKq9douLi5ienl6xPWwtIvlAIIClpSUwDIM1a9Y01P57M6SA1QLDLO/Vnq+hS7mlYXokXxnyLcAmJyfBMIyyADMH5tD27J/B2e0wGE1AMgH86V5IJ54J5qgTgW2/BeIxwGwGUkmA4SAfdTLwxzuA3NpwixX42/NAA5B8OQLDYt9R7nFfcskluOSSS5b9nGVZXHTRRbjooouK/v1+++2HW265pehnSv0uGuRZe/TRR3HooYcu+33jzJgaQJb3dGhjGAYul6umNqfFhHC0sl8N4x1gT7q1UvKh28O6XC709PQUfZm0JHn6WMxmM9LptKYE36jq+kZFbkMX4vpGl+mRz5BIn75/9bjO9SD5WoAswFiWRUtLC9ra2hCPxyG98BhE3ohUMgUkU2BZFgbOAMPTj4H/7CVg/r8LM+K76d1Aew9wwJFgeBNk5Dl2hgHyGHs1a7q+HsetFchzbTAY8m5jrlqSp0vQ2traEA6Ha77ipNPndEqGVvaX2kClnDErSaHT7WF7e3vzlmvkQiuSJ+5+8XgcfX19SKfTy2pE6429IV1fDnJd38j+MV2mZzQalYVBvcRatRxPrXRwJWNarVZIogA4HJAlGWkhDUEQkRYEpGMRTI6NZbQVowfAtumoLG2FbG/NRPj01ksiBqw7eNl4zWrAQxrYNDPIPC+KIliWRSKRyOvO15AkXy15xONxeDweCIKgmKTEYrGaK4Pz1a3Te91DQ0NZHYjUGrPcaxeNRpVUXzntYbXYk4/FYpicnAQA5Vjm5+c1n6QrieRrJTpsNtD7x+3t7RBFMauZC2nbCmT8DliWzSoZ0gL1IKNaY9k52uyQI2EwHPfhVgsgSyIk2CG3t2dpK7I6tm0+A+yDt2dS+AZDRqTnbAdz0NF5x63HnrwakbzWz5zWINeA/K8gCOjs7Fz2uYYk+UohyzIWFxcxMzMDk8mUVe6lZdvXQqDT9fSxmc1mpX5SbZRD8tXWnKvpzQ8U1gLUslwtnU4jmUzCZrM1/Uq/XGh1jTmOW9a2lXi7BwIBBAKBLAMYq9Xa9KnUhohwj9oCPHAHZKsdDMtCliQgFgV3whlwuVyKtoJW7SvaiuPOgGNqDOZ4BPyatWD22QCGy54b1CpDKxfVCu/IfNzMz1gymcS2bdsUO2ubzYZ0Oo23334b6XRa6cpnNBpXD8lLkoTp6WkEg8G8+8n1IHnyIAqCAL/fj2AwCLfbje7ubs0esFLPk/Z8b2trQ3d3d91qxWVZxszMDAKBQEEtQK0i+cnJSWWsYiYkdZ/ANYLWYzBMfm/3fAYwJLWvRje9egjvaj1eLnGx/cOQ/v7TwLN/yajrzRbgpE+A3Wf9ns9QlroAssyR/INrIYpiJjMzM7usu2GtyyDpc61mAU6Ou5lJnnTUAzLnI4qiouDnOG6PEQ7LNibJl/vQJBIJeDwepNPpgjXUDMNAFEWVjrA0kIdoenoa6XQafX19cLlcmo5ZCvESz/dkMllVzbkaJC8IAiYnJxGLxQqWD2o9iciyrJQgkRQziW4CgYDi9U5Ih0yIukiveuR6u6dSKYXw86WSq8mwrHaSB5afIzs4CgxeUPL30B3bZFnOuh90d0NSopdvTK1Rbbq+XhkINWG32/GNb3wD6XQaqVQKqVQKgiAgHo8jmUwqP0ulUo1J8uUgGAxiampK6YZWqC0gy7LLHKK0RjQaBZB5qNasWaNpK1aClYg3t+d6NcekhnaC6BOKNQYi42gxcdIZDQDo6uoCx3Ewm81ZXu9EREZ7S8fjcUXsstr3e9VGoecmt0yPFvDRZXqE8Evt4FYv4V0txwPUJVyG2dPdkLgg5iubnJubQ0tLC6xWKywWS00W5Y3gdldP8DyPAw88sKTPNi3J0yVWpTjE1TJdL8syfD4f/H4/gAxx1ILggcJiOLpkT62e69WQPFmclaJP0GrSoCsKOjs7MTc3lzeLQNKZpFQsGo1ifn5eWaSoFWnqyAadSqbL9GKxGILBIAKBgPIZcv0LeTrUY4+82Uk+F7llk5FIBNPT0+B5XtFX0O8L6XugxcK8EXzr6w167qX/f+71bkiSX+mhSCaT8Hg8SCaT6Ovrg9PpXPFvakXytBVsIeLQEvma4tDtYdVsxlMJydMLoHLte9WcqGkV/+joKIBMRLLS+ZAuYouLi7DZbLDb7XkjTTIZ6lF+cZRzbfKV6ZGokrZ5JYRvsVjqFq3VI3MA1HZhQUiyo6MDRqMRyWRSuR/z8/OYn5+HwWDYo9pXyRFRT9dnUKpGqCFJvhhIN7Ry083V9nYvBfnKv+bm5moq+Msl3ko72lUy1kpYyQu/2DiAehMnnUUgKv5EIlH29+SL8nMNYei+7XqUvwfV3ku6TI/22SeLLVKmRwR8tdbjrIZ0/UqgyZIIKs1ms5LaJ1kXWlBZyVZLLvR0fXloGpKnG7g4HA709vaWNWFqGckTZ72ZmZlljW9qWf5FxiMTWr72sGqPVeq5JRIJTExMFPXCLzaOGigli1Dq+eQ799xIk97LJ4YwjWr72uzItXnNJxhjGAY+n6/sPu2VYG8g+WJjsiwLu92uvOf0Ajh3q4X8K6WkWI3yN7Wa0zQLmoLk6QYuPT09cLvdZT/MhOTVfvlEUVRaP+YrRat16R4RGM7OzsLv91e0ICoVpZI8WWwYjUaMjIyU7Q+gRiQviiI8Hg8ikUjBjnpqQu0of7WZuWhJSvkEY16vVykPyy3TI0pxNY9lbyf5XOQugJPJpLIIm5ubUz5D3odCizA1zpMEQXokX0fQNzAUCsHr9YLjuKoauNDGNGq9CHTpHnHWy4UWrnDFQF6geDxeVkq8EqxE8rIsY25uDvPz82htbUV/f39FL1a1JJ9MJjE5OYl0Or2iy6BWWZd8UT4hfTrKrzaVWQ1W20KCgGVZpcd2X18fUqmUcu3pMj1awFdtn4S9geQrTXvTqX2y1UKyXrmLMLJQJu+DGql2PZJvENCpVTXU4LSPvBoruFJT4bXQAhDE43GEw+GKUuKVoBjJ02K/rq4utLe3q2JoUi4ikQg8Hg84jit6n2ppBERH+e3t7RAEQUnr06lMm8226qONeiwqcvu00wRDFlzERazSsrC9geTVGpPjuGWpfXI/6GZHhOyrHVPfk28ApFIpjI+PIxaLqRaNqtVrXZIk+Hw+LCwslJQKr1W6nljCkohFa4IHCrfSTSaTmJiYgCAIqvjzVxLJ0zoJu92OgYGBkhaJ9TC4MRgMBZu7JJNJAIDH41HS+vWI8tVGPdTn+SZ1esEFZDu+kbIweu+YlIU1Gsgco+qWQyIB4bnnIb33Hpj2dhg2bwbb3rbn9xotZEgFC1mE0VUUpCzZ5/PBbrcr96UcwibXqpHaVpcLWZaX8Qq5F7n/25BnKYoiBEHA6Ohoyc1SVoIaJE93RytVG6C18I4WJLpcLnAcp6S7tEY+kifbK2qK/cqdSGgPhVItexuFNGnVeHt7OxYXFzE/Pw+e55dF+WqllnXsQa7jG9k7jkajyt6x0WjM2jvORzC19kZX26pVjsWQ/MV/Qg6FAIsFmJ2F+MYbMP7TeeD22QdAbdq15lZRRKNRpTImEolkOVWWqq9YDZE8wzAlZ7YbcnawWq3Yd999VXdvAioneZL2ZZjyOrVpGcnnaw9bSq23WqBJXguznXzjrARik0va1JZrI1yNul4LkGtIFir5WriS1HIzRvm1OtZKos58e8ekJIwQDF2ml+vr3oypc4L0//4VcjgMhrhQms2QJQnp+7eB/ca/1uUcgT3n197eDp7nswStufoK8i8381Ltnvy2bdvw+9//HuPj47DZbDj44INx6aWXYt999wWQ4Zg77rgDd955J6anpzE8PIxLL70UW7Zsyfqe3bt34+qrr8aOHTsAACeccAK+/e1vl5T5fPzxx/HWW2+B53nFodNms6GlpQVutxtutxttbW1wOByNSfKA+i9/pZG8LMvw+/1K6U25ndq0Et5Fo1F4PB4AyFp01FLNT+6RIAjw+XwIhULo7OxER0eHJgu0lUiVONDJslzWQoweo5GRG+XTqeXcKJ9Emo0a5ddjW0SNvePcMj06jUz7uguCUNNrrzbJS+/vzETwFBiWhRyLAbEYYLPVheRza/Pz6SvIQow2SLJarcqCgIi3K4nkb731Vlx77bX40Y9+hC1btmBpaQnXXnstPvWpT2Hbtm0YGhrCz372M2zbtg3XXXcd1q1bhwcffBCXXnopbrrpJhx77LEAgJmZGXz605/GySefjEceeQRLS0v4zne+gwsvvBC33377isf24osvYvv27WhpaUEikUAymUQymYQoikrXx8HBQfzDP/xDY5K8Fg8Ora4vFWo4xalNurk1+YODg1mTSS3r8sm1IPvvapvt5KLYeS0tLcHr9cJkMmFwcLDiNr7lRPK1QFEnq5zU8mqL8tWE2u8EXaZHfPZpAV86nVb+let+KKcExF/bicQ7E2BtZliP2gBjX0fxv1H7/KxmyLEokBPtMgwDfPhu1SJdn4tii5lcfQVtkBSJRLB161a8+uqrcDgc2LhxI04//XT83d/9Xd4e7IVw77334owzzsAnPvEJAEBrayuuueYaHHbYYfjLX/6CU089Fbfccgu2bt2Kww47DABwzjnn4M0338TPf/5zheR/+ctfwuFw4Pvf/z5YloXb7cbPfvYzbNmyBU899RSOP/74osdxzjnn4NRTT4XdbgfDMArPJBIJzM/PY+fOnXjyySfx9a9/vTFJXguUG8nH43F4PJ6qyUvNSL6U9rCE5GuxyiYucbIsY3R0VDN//mLnQZfpORwO9PX1VVWmt9J4uWM3CkqN8um6/EaI8hs5XV8OaJ0EAIyPj8NgMIDjuLy+CIW0FHJawOLtf4KwEALrsEOKJhC87c+wn3QYrIfst+L5qXWOhs2bkbrtdsg2255MWjwObt1aMB+mv+sdya+E3MzLpZdeirvvvhsvvvginnnmGTzzzDMAgP333x8nnHACvvSlL60oqnQ6ncvcE8kx9fT04IknngDP8zj55JOzPnPmmWfi3HPPhcfjwcDAALZv345zzjkn6zx6e3tx+OGH46GHHlqR5EdGRor+/vjjj8cXvvAF/OlPf2pcklc7Ii2H5IlS3WQyYZ999qk4KiTjqnEepbaHLaR4VxP0FgYADAwMaNqAp1C6XhRFTE1NqbpNQMZotJrxcp+hQlE+ncbMLROrJRppgaQFyH5+R0dH0SwLLeBjGAbxt8chLITAOT/cl+UN4NociD7xGiybRsHw+adstZ9Xbv/9wZ90EoQnn4ScFgCWAbdmDfizztJszFIgSVJFixmGYbBp0yZs2rQJu3fvxu7duxEIBPDMM8/gxRdfxE033YR//Md/RE9PT9Hv+cY3voELL7wQv/vd7/CZz3wGfr8fP/zhD3HKKafglFNOwVVXXYXu7u5lguOhoSEAmSoZp9OJ+fn5vEQ9NDSEnTt3rng+udUU9PUgpm+SJOHkk09uXJJXG+TBKEbytCrb5XKhp6en6nSUGun6cDgMr9cLlmVX9OuvZFuiHNDZBKfTiWAwWBOFLZB9TmTRk0qlVNkmoF+SUiavRloArAQ6ygcKl4lxHAdJkmq+n1wL1EsIBxTPstA++1arFcwr74GzLq9IkQUR4mIYhs78QlItzs9w3LHgjjoSsn8BjN0OpiW7LLde6Xo1znNgYACnn346PvvZzyKVSiEYDJaUtj/wwAPxq1/9ChdddBGeffZZeDwebNiwAd/85jfBsizi8XjeAIz8LBAIIBaLZf2MhsvlQiAQWPE4yHUXRREsy2JhYQHPPPMMDjzwQGVBwXFc5l1e8dtWEYoRLh0pE6W6GqgmXU8r1kut9a7WHa4Y6GtE2sMGg8GaRWVknGg0isnJSbAsq/o2Qbm1+M2IfFE+ad8qiiJ27dqldHOjo0wtUEvirTXJFxovX5keIf0YBGBuHpzNAqPRCJ7nwfNGgAEYS+FyVK0WMQzPg+npLjhmrUlejYVF7ncYjcaS9+X/+Mc/4sYbb8Qtt9yCtWvXQpZl3HfffTjjjDPwq1/9Cm63W+lGSYNkb9xuN1wuFxiGyVvqHA6HS+KeZDIJk8mk8IHdbsfjjz+Ol19+GZ/85CexZs0a2O12GAyGxiV5LQRkhUiejpSrsc4tNGYl51Gp6K/aUsFCICWEdDaB3pPXEvTCJbcRkFoRZzNF5mqCjjJFUUQ0GlXqkUmUWWrP9nJQDzOcWo9X6vtKd29Lnd6CuV9ug8AZFHtqJFIwdrfBkE7AluSUMr1KxlMTzTqmJEkVPcPpdBrf//738YMf/ABr164FkLl/Z511Fnbs2IFrr70Wp556KmZmZpBKpbK2eXft2gUASnDU1dWFiYmJZWOMjY1hYGBgxWP5t3/7N4RCIQwMDKCnpwf9/f3YvHkzfvnLX+Kee+7Bcccdh2uuuaaxS+i0QC7J06IttWu7C41ZCqppD6t2up4m1twSQq0WFLkg4wQCAUQiEbjdbvT09GgywTRanXytwTBMQTOY3J7tWkf5aqIe6fpKxjO2O9HxmRMRfuQFiBIDmZEhjXZCOm5DVh04bYbEcVzd9sebMZKvNAMRDocRi8XyznfpdBp+vx8nnngifvjDHypKe4KHH34YmzZtUgj81FNPxUMPPYSLLrpIuW8+nw87duzAL37xixWPZdOmTXj99dfx9ttvY8eOHZBlGRzHoaOjA1arFePj48r8tFeRPJ06FwQBXq8XkUhEk9puesxyyKDa9rBqpuslScL09DSCwWBeNb+WWwO5xwFksgk9PT1oa2tb4S/KRzMQVa2RzwyGiPdyo/xKLF9X8zWvhnRNa/pg/PInIC1FwZh4sB+m6UmZHr2fD2QaG5GKGrXIXgiEsfTH55Ce8QMGDrYj18N+9AYwFDk248KCXKNKvsPtduOYY47BT3/6U7hcLhx22GGIRCJ44IEH8OCDD+I73/kOnE4nzjvvPGzduhWdnZ1Yu3YtHnnkEdxzzz248cYble86//zzcd999+GKK67AxRdfjFAohMsvvxwbNmzAMcccs+KxfO5znwOQcRgNBoOIRqOQJEkhenqObFiS16pWXpIkxGIxeDyemjRyIen6lV4IWd7TkKe1tRV9fX0VZRXUiq5pN71Can6tRX7Anj70QMblSguC11EaiMnGSpavpUT5jZo+VxNkgZ/cNYPEe14Y3C2wHjiqkPZKf8s5s+clukwvt31xJBIBkEn3VlsmKUbimL/pAYDjwJpNkGUZ4b+8AikYgePvj1I+14zp+mrtf2+88Ub85je/wTXXXKMEY/vvvz+uvfZanHbaaQCAyy67DA6HA5dddhn8fj9GR0dx3XXXYfPmzcr39PT04LbbbsPWrVuxZcsWGI1GbNmyBd/61rfKmvfJ+5gLejHUsCSvBRgmYws6Pj4Os9ms7I9oPSYAZZWVD4IgwOPxIBqNVt2xTQ3iJW56DMMU1ShoHcnTPvgAVPHBL4ZyrDq1cjLMN04jIl+UX0gxTgin3o1dalmTL8syZFGC/3ePITk+C9bEQ0oJWHrsVXR8/iQYe9urHoduXzw1NQVBEGCz2Za5vdFmSKWQW+T5twFRBmvN3C+y4Ii9+gFathySlVlotnR9tb71FosFX/nKV/CVr3yl4GdYlsVFF12Eiy66qOh37bfffrjlllsqOg4auZUc5BgI9hqSlyQJqVQK6XQabrcb3d3dNXlAVyJdYsWqVlahWuIl++8Wi2WZm57aYxUCXYff0tKCvr4+vPvuu6qO0Wxo9P3/XOMREuXHYrG8UT6pd64V6nH9km/shjA+C4MrU/POWjOlcAt3P4nuf/mE+iVvBgPa2zOLh2KLLnprhX6H5WQKDM8jNeEDY8tTxidJEENRheSbMZInJL8aeskTC9vc8l8ge0HbsCSv5sOTTCYxOTmJdDoNo9GI3t5e1b57JRQz4aFNd0ZGRlTJKlSarqc9AkoVtmlB8nQdfm5VQS1U/MREopk7VFUKta5vKVE+QTAYrEmUX0tCItcx9bdx8A5b1u8YAwdhKQopHAfXqk6HTTIm/czm89knWyvz8/NKZ0Or1QrTxCzE+7cD0RjAsoDTBYmzgWvJPj6GY8G12rLGbLY9+dXQgY6AXqiQ65Kv6qJhSV4tkJQvqU1NpVI1HT8fQdHtYZ1OJ3p7e1V76CpJ19MtdCvxCFCLHGgdwMDAABwOh/K7WqjZZVlGOByGz+cDz/Ow2+0F95ZXq7peC+SL8v1+f94on7jvNfMkrERTPAekBSDnVBgGAKsuORYjXIbZ47PvdrsVXVI0GkVsbBLJX98LGI3geA4cDGC8U0CahbRhHVgjn1n4LkVhPXS/rCi+GevkVwvJj42N4dFHH8WXv/xlAJnziUajGBsbg8FggNPpRE9PD1555ZXVS/L5hGzz8/NKbXetkBvJ5xIqMUZQC+VGvbFYDJOTkwBQUec2tciOPo5COgAtSVUURciyjFgsBrfbDUEQstKcJM3cKJ7vWkHryIxE+RaLBclkEsPDwzXZy69HJG89ch3i9z8PQ9seYZSUSIHvdoGzq2sjXM75sSwLu90Ou92O0H8/jqTdDoljIAhiJggysICYgmgE2KUwjBYzWj52EOzHbFp2jnq6vrYg5//WW2/h1ltvxZe//GV4PB6Ew2EIgoDzzz8fo6Oj2HffffHDH/4Qu3fvblySr+ZGEiKNxWLo7u5GW1sbGGZPp55agk6fF2oPq9V4K4FsF5jNZgwODlY0mapB8sFgEFNTU0WPQ8vJJJVKKQp+p9OpZBDa29uzFMy053ujetw3G4qllUmUz/N8lmK/3CisXhkX47694I5ah8iL70EWRTAMC0NbC9o+/dGifyelBAixJAw2M1i+NDKq9DkU/YtgTTw4hgHP85BlQJREiDIgf3QjkhYjkgBSJhOSgYAi4KtWpV4p9Eg+A0EQlJr7559/Hn/5y1/wxS9+ERaLBd/73vcQj8dhMplw1llnNS7JV4pcIiVdoYDa9lqnxwSgeIQTpzat9iBLia5lWcbs7CwWFhaq9uivhuTpbMtK2xZapceJRS7HcctELKQiorW1FU6nM6udaCQSgSzLGBsby4rymzVCaATkppVzW4UGg8GsKN9qtZalY6l1JM+yLFpOPRwtx2xEamYBnNUMvr9w5Ywsy1h4+m0E39gNiDIYloXjkFG0H7W2pDErOT9+n0Eknn0VjDVjDc0wAMey4GxWdG9cD1GWFAEl3c2QWEnndmTTGnt7JE8QCoWUaqNAIACO4xAOhzE0NISDDz4467OrhuRlWcbCwgJmZ2cLEikh+XpEX4FAoGB7WLVRjBDpcr2enh643e6qjqdS8hVFER6PB5FIJCvbovY4xUAyGVarFf39/ZiYmMDi4iLC4bBCIrmTmdlshtVqVaJOu92e1VnMbDaX3T98b0Qp76BaUX6tUstJfwhxjx+wGiBT1QNcqxWWEkR2i6/uwuJr4zA69wQmiy/tBG83w7FpuOjfVjqnWf9+M5KvvA0pkczUxIsi5HgStrNPBcOxMIBVyvToPgekLt/n82FxcTGrm55WUbIaOgDyLDQryZPAIxgMKpngUCgEh8OBcDisbHNOTk7CbrfDZDKtDpKnW462t7ejq6sr7wNP71fXYvKl08BEsV4LFKrhpsv1crMc1YxVLvnS1Q5DQ0NoaWkp6e/UtOolGQSXy4Wuri7IsozBwcGsSJ00kKAnMI7jIIoi0uk0GIaBw+GAy+WCKIrK39L9w3PtR8uFvkjIoFCUTwiHjvLJ/dLaA4NAliTMPPAiou9PARwLIZVGOJ1A74UdQBlbcsFXxsA7sj/PO21Y3PGBZiTPOlvg/N6XELv3MaTHveBsFlhO3wzTpuW96xlmT58Du92OiYkJtLe3I5VKZd0Di8WSpadQ6xnOba9azXc0a7qezCGyLCvlkpIkwWazIRwOw+l04uWXX8Y111yDrq4usCzbuCRf6o2kfd5zFdm5oEVwWt9kuukNgJr2687XFIfse6tZrgeUT/KRSASTk5MwGAxl2faqFcnTjX+6u7uVCAXIvEBEkNTV1aVMXpFIBH6/H7Isg+d5SJIEURTR1dWlfCcAZXJjGCbLDY7Yj9KTX74mI8WwGpX81UzWpZaIkT3kascrhtCbkwi9NQlTeysYjgUjCMBcHHMP7kDL508q+XvktAjGlJ19ZBgGQlJY+W8pkhciCaTml2BoscDYvnLfC87VipYvnLXi52gQsrTZbHC73Vn3IBaLwe/3Y35+HgaDQVnkVrrQJVBDB9Ds6frXX38djz/+OB577DGYzWY8/PDDeOKJJ/CJT3xCie67urrwkY98BBaLBel0unFJvhQQ4jIajSURRrGadbVAG7nY7Xb09/fj3XffrakWgCZEOmp1OBzo6+tTdYFTKvnK8p5GN6W2zc0dp1rk9qC3Wq0F60uBTFmX2+1Wyo6CwSDm5+eVezk3N7csyid19qSMhSj1SZRPmoyQyY9MgM0aWVQKNRctxUrESIQJZLbMiCucWovcyK5ZfPDzByDGU2BYFqaOVphHu8DwBqT8IYiJFDjznrGktIhUMALOYgSfo7A3trVAiMTB8numZSmVhrnTueJxkOvpe/hlLL38ASRRBMOyMPe1of+8zVnHoAZyt0Dy3QPyzEejUSUrZrFYlHem3O0sNaLwZo/kRVFEOBxGKBRCMpnEQw89hF27dqGzsxNvvfWWslV92WWXKX/TlCRP15mXQ1xakzy9bUAbuVTabrZSEOKlm/CUsu9dzVjFQBvtVKpLqDaSj8VimJiYAMuyGBkZUSLyQgSf7+9JdNjf3w9ZlpUon+wPm0wmhfCJAl8URSWNTNwM6Sh/aWlpWYqzVmnm1Qq6REyWZcTjcXi9XsiyvCzKJxFmJZN+ciEE711PAQyTIVGGQWIuBCEtQGozQxAkpMNxhWADb+yG7+l3IIsiAAbWXjcGTvsIuA+j984tB8Dzhych8SIMVhOEaAKyKKPjo5uKHEUGsiwj/s4UIi+8B6N7z/ZXcm4JM9ueR/85x5V9fsWwElnSPvtApuKJPPP0dhYtolypNFUNbUWz78mvW7cOBx98MHbu3ImNGzfiW9/6Fj7xiU9AlmVFZxUKhTA2Noaenh44nc7GJflCNzKVSsHj8SCRSJQtHNOyoQq9z5zbHrbWqn6WZZFOp7Fr1y6IoqhpE56VyFcQBExOTiIej6Ovrw8ul0uTcYqBZHwsFgv6+/uV+1EqwQcCASUz09vbq0wQJpMpqzsb2ccnCmRavEc/AzzPKxkCOsrPJSBCUrVCrbcEaqE3YBhGWTR1dHTAYrHkVexXso+88PTb4CwmmPvaEH1/GpzVBM7IIfTeFIRWIySXA2P3PQfnfr1wru3HzOOvw9yxZ15ILoTgffQVDJ1xBADA1NaKoc9uQeDF97H0/LsQdvvAt1rhu/UxdHzqWJh78zdnIoK08EsfwJjjsGewmRDbOQMpLZZcjlcKyiVcnufhdDrhdDqVhRe5D0S0ShbJxBAp97vVjOSbleTJ1hNdQkfmmnA4jLVr1+JXv/oVbr/9dmVB0LAkDyyf2CORCDwejxKNlVtnrlUkTzdSybdtUEgIpxWICMxsNmN4eFjTyLAY+RKhnyzLqvgClEtCsixjbm4O8/PzcDqdyh46UeiuNEGRrQ5i9Utb7NLI7c6WSCSUKJ/U1hPVvcVi+bAeeY9S2G63L/vbcDisEBCQ0Xi0tLRobv9a6zKzWo+VG+XTESbZRyZ2ryttpaQCEbBmHmazE+mFEFILEaSCUUjxFDi3Bc6j1oK3WxB8bwpL703B6Mx+/g1WE6JeP4R4CgZL5h3lWyzgJQmYCcDU6QTDMkjOLMJz9b0Y+u7ZMLYv1xwp5ydIQD4il2XIkgSgfiRPgxZItre3QxAEhfDpRXLuwkuNSH41pOs5jkMkElHm03g8jtbWVqUq6Bvf+AZOPvlkTE5O4vbbb29skicgaba5uTlln7sS1zG1SZ4mkWLtYWuVrifHk0qlwPM8RkdHNX+YC5H80tISvF4vTCYThoaGqianciN5SZLg9XoRCoXQ1dWV1Sq3lGtCtl6i0Si6u7tLzkDQCuSOjg4IgqAQfj7VPVkQEvGe0WhEe3s7Ojo6kEqlsLS0hFAoBL/fD7/fr0Q7RFCmq+9XRiFyIFG+0WiEy+XKtnuNxfJupdBRvn3fHiw88y54hw2tG4YhhGOYe+F98HYTmCOGwX1oAWt02hB4+QO0HTSy7NgYAFJaAD4keVkQEfjzq+CcNmUc1miAKErwP/ACev95uZCPnJ9t/QASr4zDQJXrSYII3t2ibAmoBTWU7gTEcjy3hTFte8zzvCrBSr1MfNQCud7JZFKpSpqZmQHP84jH40pl2QEHHIADDjgAf//3f9/4JE+roXMblpQLNUme3u9eqT1sLSJ5+jqRiasWD3Iu+dILHzWFfuXc83Q6jYmJCaRSKQwMDChdz0pNz5MtIUEQMDg4WFWpIRHg0WlKQvpEdU+iGovFAoPBoIj3yJ5lKBRCf38/BEFYFu3Q4r1mstttNKdAMSUgPDEHKSXAPdyJzs7OvFE+LZh0HLIGwdfGkQ7HwbdYwJh5MAYW1k0DSBgMIKfHsAyMHa1Ih2JZ6XRZksCajeBb9gjwxGgCsiCCNWeTMmcxIjm1kPfYyfvnPHI/LIz7kfIvgbWaICfTAMOg/9zN6l4s7Ll/Wmh88jU3isViSlp/YmIiS8BXTqUK6X7YSM9eJZifn1fmpVNOOQWDg4Pw+/146qmnIAgC9ttvv8YvoQMyaYiJiQlIklRWPXUhqEXy5baH1TqSTyaTmJiYgCAIGBoawuLiYs22B2iSp4WHnZ2d6OjoUO1lKjWSJx74DMMoArtS0/Pk70np4/DwsKo97Ok0JSERQvgLCwuQZTmr5MhoNCoLATL5Wa1WMAyTVTKmG/EUx0pp3oh3AeP3PwtJEMEg85nuY9ej8yP7rhjlm07ZgPSbUxCnl2B02NC25UCkGAmIR4EPvysdiqPrmPWIT84juRAB32qGlBQgJFIY/Icjso6Ls5nBGJYviqVECtahzqLnx5mNGLroFITfmkT0gxmYOhxwHLoGBpu54mtXCLVapNGlkiaTCXNzc2hra0MsFsuqVKG3V4rttzd7h0ly7Js3b0ZfXx8A4P/+3/8Lo9GIww47DH/+859x991348c//jFOO+20zJxSzwMuBlmWFbtRNduwVhtVV1JvrmUkHw6H4fF4svQAwWCwZnue5Nxyy9No4aFaWOmcyBaB2WzGwMBA2QK7paUlzMzMwGKxoK+vT/PImOd5uFyuLBIhpE9KjgCgtbUVLMsqi0US5WttxLPakO8ZkAQRu//f8+BtZjDU5D/z5FtoHe2G+UOlerG9fGlDF+T1nRANBtglFjOPvAohnIDYmoYYT8HksqPrsP3AHLE/lt6fQmjndGZBcNBolrsdkGlF6zx+EwJ/2gHOkUnZy4IIKZlG++lH5D0vehHDGjg4DhyB48DlWwNqoh5kSRYWdFkree5jsZiyICaLXSJ6pe97pY55giDgpptuwn333Yf5+Xn09vbi05/+ND772c8qc+Add9yBO++8E9PT0xgeHsall16KLVu2ZH3P7t27cfXVV2PHjh0AgBNOOAHf/va3yw5gv/nNb6KzM7PoIxz0wx/+ECzLQhRFZe5iGKZxSZ5hGAwPD8NgMKhe110J4VbTHlaLSJ7WKbS0tKC/v1+ZyGsp9GMYBoIgYGxsDCzLYnR0VFGAqj1OoWtIXwuHw4Hu7m7l56UK7Obn57GwsACHw4Genp6aR8E0iRCDJ1mWlWg+FApltWOlS/QAbY14tEAt0/XF3r2YLwgxlQafE+1yJh6BNybQe/zGZX+Tby+frglv+dhaGCb9SMVFODeNoHPtEFg+0xfBtX4QrvWDRY+37bTDwNrMCD7+GqR4CnxHK3ov/DiMXU7lfOIfTCP83LvgWsywfOhtX8t7Wo/tltwx85XpkWwLWeySz7zzzjswmUxwuVwVbb9997vfxe7du/HLX/4SAwMDeOGFF/Dtb38bw8PD2Lx5M372s59h27ZtuO6667Bu3To8+OCDuPTSS3HTTTfh2GOPBZDZO//0pz+Nk08+GY888giWlpbwne98BxdeeCFuv/32sniOuKfSCzyie8pd0DcsyQOZFZnaZFVJORvd1a4Sv3eWZSEIK7tWlYqV0uK1rMtPpVJIJBKw2WwYGBjQLPotdL0lScLU1BSWlpbQ2dmZJZAr5aWRJAnT09MIh8Po7Oys2su/WkSjUaVSg/RfICV6JDW/uLgIlmWVFKXZbNaNeIqgaLpeloF8r0oZQs9csvH7/QjwGT1FPB7HpNdT1jVnGAbujx4A90cPUI5fWIxAjCXBWoyY+c+HEHr+XYBjAUmEfP+zkM48BMxg8cWDmqgHya+UPeB5fpnPPnlnLr/8cqTTafA8j40bN+LjH/84jjnmGIyOjq54Hi+//DIefvhhPP744+jo6AAAfPSjH8X27dths9kwMzODW265BVu3bsVhhx0GADjnnHPw5ptv4uc//7lC8r/85S/hcDjw/e9/HyzLwu1242c/+xm2bNmCp556Cscff3xZ14O+B6FQCPF4HBaLZVkWtaFJXouHqFySz+1zXkkZmJqRdbF6fHo8rUlelmXMzMwgHo+D4zgMDw9r+tLnu4bpdBqTk5NIJBIYGBiA3W6HKIolp+fT6TS8Xi+SyST6+vo02WIoB8FgEDMzM7DZbFmVGrkleslkclmJnhpGPFplf2RZRmTXLAKvjoNvtaD9iOW+6PWCtdsF1miALMlg2D3PjJhIom3jUEXfSboZ9vf3F3V+KyWzEn5rAlO3Pg4xkgDDMuCdNgjjMzA49+iAREFA6n9eAE46qqLjrQT1SNeXMyZd5dLe3o7f/OY3ePjhh/Hcc8/h1VdfxauvvgoA6Ovrw/nnn4/Pfe5zBb/rj3/8Iw4//HCF4AnIou6JJ54Az/M4+eSTs35/5pln4txzz4XH48HAwAC2b9+Oc845J+scent7cfjhh+Ohhx4qm+QZhsGrr76Kxx9/HO+++y5kWUZLSwsOPPBAbNmyBYMfLvoamuS1QKlRLrFhnZ2dhcViqao9rFqRNfEJ4DiuaFpc63Q93cmOWMNqvarPXbgQUSYARRtRDsEnEgmlJfHQ0FBNewvkgt4ucDqdRR0BafUxqTHONeKhncTInmQpRjzk++fm5lTrKCZLEnb9/n+x9NYkWDMPWZDge/x1tJx2AEwj7VV9d8nHUCSSZw0chv7+MOz+fy8AckYJLwkiOo9YC3MJvu+FxlPK33Ki/FQqpaSUVxKOJX1BTPzHH8HZTOCsGQFo5OX3wSTTWSQPBpCTaSR3+2DeqO1efL5zrBWqGXP9+vXYf//98Q//8A9Ip9OYmZnB008/jaeffhp//etfi5L8O++8g4MPPhiPPfYYfvOb32Bubg5r1qzBpZdeik2bNmHXrl3o7u5eJtIdGsosEj0eD5xOJ+bn5zEysvz+DA0NYefOnWWf0wMPPIDrr78eVqsVg4ODMBqN8Pl8uOmmm/DrX/8aV1xxBT72sY/tnSS/EgGSFG4wGITb7UZ3d3dVk121jneyvKeNbim+71qm68l+sSiKGBkZQSgUUtpOag1yTrTAjmgRyhHYhcNhRTzZ39+vucFMMRDLX7L1Uu52gcFgyEpR0iV6RHVPoka6RC+fEc/09LSi+M/t3U5qxMtF6N0pLL01CaNrDynJkoz5B15G31dKb95SCiRBxPz/vo6FZ98FZBnuo9ai82MHKr8vdF1bh7uw/sJTsLRzGlJKQOuaHpiclZdNFiMjspfvdDohCgLm39qNuTfHELIYYOh3Iez1Q1hKorXTBdvuhUzDG2ruYc1GCItRyCkBjPHD6VsGwDBZnvelQozEEXjoJUT+tgumoU60f+JoGEv0ym+0dP1KIPNHR0cHjjzySMUOdqXzCAaDeO655zA1NYXvfve7MBgMuOWWW/BP//RPeOCBBxCPx7N8OAjIzwKBAGKxWNbPaLhcLgQCgbLO5ZVXXsEVV1yhiP/obcrdu3fjqquuwqWXXorf//73jU3y9UjXE5U4SeFWasNKo5rImt5zLtZGN3c8LUg+19nPaDQiHA7XRORHruHc3Bzm5ubQ2tqK3t7eLMIqRWAXCAQUsWI54kktQLwWEomEKtsFhUr0otEoAoGAsl9fyIiHLBz7+vqQSqWUKJ8YkhDhH1kwlPJ+zj//3rISLoZlIKUEpOZDwHBVp6xAlmXs+uUjCL/rhaE1k5WZeeBFhN6aRO8FJ6z49wazEW0rtHMt51hWujaSIOL9Wx5HeLcPnMmIdDyBxf95CeaNA4jOLWJ24U1Yd/vR4rShZaAdBp6HgePA97RBmF6AlBbAfUjykiCCsZthGe0u6ziFYAS7LvsN0oEIOKsR8Z3TWHriDQz94FxY9+8vfvx1Ster7XZXyvfxPI90Oo3rr79e0Rxt3boVf/vb33DrrbfC7XYrAlcaZJHtdrvhcrnAMExW1Qz9ObfbXfJ5RCIR3HLLLTjmmGPwL//yLwAycwk5l+HhYfziF7/A+eefjx/84AeNTfJaoBjJ07a5o6OjqqVwK42s6QXHSm10aahN8rK8p7NePiV/rUR+6XQac3Nz6OjoUNpbAqUJ7GRZxuzsLILBINra2lSt4a8E5N4SDwgttgtyS/ToKJ9MNiRFTNL+ra2tinVmS0sLHA4HJElS7HZDoZAi/CvFiIcz8x9aqmZDBiqKPAsh7l1A+L2prH7svMOK6K5ZxMZ9gKm26vOVMP/yBwjv9sHkypRORRdCYHkDlp58B+b9euHodENOSUjtmkPUwMHY/mEpH8eC6XV/KMYLg+E4MBYe5s8eD7bMMknfbf8LIRiFwZ5ZhHFWE2RRwvQvHsQ+P7+o6N/WK11fzcKCLGbL/Y6BgQG0tLRkPeMsy2Lt2rWYmprCCSecgJmZGaRSqayS6l27dil/bzQa0dXVpWwx0hgbG1N86EvB9PQ0/va3v+HBBx/MOh5SIi7LMjiOw7/+67/i//yf/4PVLavNg3wkT/ZEd+/eDYvFgjVr1qg66VYSyUciEYyNjUEURYyOjpZM8IC6DXGIPazP50NHRwcGBweztgpqQfLEGlYURfT396O9vV2ZZEq1qJ2cnEQwGERPT09VrolqIBaLYffu3UqZaC30AISUu7q6sGbNGqxZs0bx8p+fn1eIm2VZpFIp5fqIoghZlmEymdDR0YHh4WEMDAzA6XQilUphdnYWu3btwuTkJBYWFpBIJLKeh67jN0KIpbJ+JqUF8A4r+Db1miZFx2YBOc8zzzCIjc2qNk4pKIUA519+H0bHnvNPxxIQE2lIaQEMAAYM2J42MFYT5FACFrMZJgMPOZwAf8ahYL9+MphPHwnrBVvg+r9ng+txlf1Mx97erez1EzAcC2EhBCmZrvoc1YZa6fpyv2Pz5s147bXXllVIvf/++xgdHcWJJ54IQRDwl7/8Jev3Dz/8MDZt2qQQ+KmnnoqHHnoo613w+XzYsWMHTjvttJKPZ3p6GpFIBLOzs5ienlbOKfd+9PX1Yb/99mvsSL4W6fpC7WHVHpOklUtNKROVdSVlaWSMal/EXPV6voWG1uV6iUQCExMTEEURPM+XraAnFrWiKFZtUasGaMMdOiNSa5Aa73g8DgBwOBxgGCbvfrzFYskq0StmxDM9NglIgLuvA61OB6zdTvSffhimH30FUkoAwzHgHTZ0/39Hq/qemToLbHWIEoydDqRQ2+Y7K43F8gbIckpx2GMMHIREEgz9XHMsUhsGYBFlGExGmAYc6DztMFjX9WfKw/q6M14IkUxa2OPxlOV4yJqMH6r2c0iPY8EYij+X9TTDqRSVdqD75Cc/iTvvvBNf/epXcdlll8FsNuOmm27C7OwsPvvZz8LpdOK8887D1q1b0dnZibVr1+KRRx7BPffcgxtvvFH5nvPPPx/33XcfrrjiClx88cUIhUK4/PLLsWHDBhxzzDElH08ymUQsFsPVV1+tbCsfeOCBWL9+PdasWaNU0litVhxwwAGNTfJagCb5UsrR1BoTWPkhpQV/lfZdB9Qh+dzSwULRppaRPNEAkL3gcDiMpaUl2O32ks4rGo1iampKKfGrZ592Ip4knv71MNyhQXodkBbA5NmnS/To/fhCJXpARthnkFjMPv4OooshpJIpTEnvwL2pH859umEZdaD/KyeBCcRhbrHCNtiB6ZkZVc+nZW0/jO5WCNE9/dvFZBoGhw32df2IzM81FMl3H7MBH9zxvzC5M9fd3ulEZMoP8AaFYIVkCvYeNwx2M/a58FTwVNRttVphYjiYPCEsxeKItZnAcRwCgUDJjofuM47EzC8eBEdpJsRYEo7jNoLhihN4M0bylZK80WjErbfeimuuuQZnn3024vE4DjjgANx6662K8dZll10Gh8OByy67DH6/H6Ojo7juuuuwefNm5Xt6enpw2223YevWrdiyZQuMRiO2bNmCb33rWyUdEzl/WZbR1taGU089FR988AHef/99/O53v4PFYsGGDRvw8Y9/HAcffDCsViu+9KUv7X0kT1LnK7WHVXtMoLjzFh01Vyv4oz36K3kpFhcXMT09DbPZjKGhoaKZBC1IPlcD0NfXp1hXznxIDqT2u6WlJS95k5pzq9Va14gZ2OMpQMSTxZoZ1QLE3Iksbmnvh9wSPWLEQ5fo0fvxZrMZLMvi3YdehJgWYHW3wsYADMMisnMBLetGIbEMgrEwZJMMgxSFbT6zBaPmPWFYFvt940zs/s1fEJ3ILEysA20Y/ueTkOBq1+YZKI0AXesH0HXkWsy9tBOyIILhWHSsH8LCfBCpcAwMy8LEc+BSItrXD2YRPAD4H3sNU7c8BimWhCiLEM0G9F/xf9C7zz5Zdfm5Vq90lO/cfABSXj8W//QK5LQAcBxaDlmDngs+rso5qg21IvlK5kS3242tW7cW/D3Lsrjoootw0UXFtQz77bcfbrnllrLHp2GxWDA6OopjjjkGn/zkJwFksjhPPvkkHnroIXzta1/Dli1bcPHFF2NgYACMXCvVVAWQZRmpVErV7yTqbABF28OqiXA4jImJCey///55y5DoqFkNEdZK4xWCLGf6p/v9/pKtexcXFzE1NYUNGzao8tLT2Yz29na0tbUpv2MYJqupSywWU6xfiSWsxWKB3+8vqea8FqAj5p6enrK0FVqA9gcYHBwsa3FLXMTI9U8kEgAAJiXB86c30NLh/PBdkiHLgJBIwTHYgX0+dhCAbCOedDqz50uX6KmVaZFSAgAZrDHz7IdCIczOzmLfffetybMwMzMDQRCWialkSYLv7UnM/C0jyOo5aA1cfe2Izy7CYDfD1teGVCiGV676b4ReHQdkGSanHY413Vj/jU/A9KGPfnImgHe++mswH1rlptNppJMp2FwObLz5kqxUO+2xT94XEuWTa4+kgNRMALy7BQZXaTqJDz74QPFbqBWqHTMQCMDv92NkZKSmx602lpaW8N3vfhdOpxM/+tGPFKEswRNPPIErr7wSFosF11577d4VyQuCoKiKV2oPqybIGPnEcGT/3WKxYHBwUBVb2FIyB7kQRREejweRSATd3d1oa2sr6dqotf8PZO7P5OSkkkJuaWlZVv9uNBqzGlSQKDMUCmXVmra0tNQ9Ys7VA1Tilqgm8lnmlgPaRayjo0MRRM5PziKRiENYzKifTUYjjCYTGI7LiMlyjHja2towNTWl/Jy0ceV5PqtEr9LULGvMfocaJY5598EXsTA2DbPDDkDGB3/egbZ9+rCOajyTmAkA82G0b9jjtpcOxfHuDQ/hwB+cAwDw//mVTDta6jwZjoOwFEXkXS9aKKc+nueXtTrOG+U7bbBZDOBKfI/rla6vZsxKhXeNBFmW4XA4cNJJJ+GGG27AI488go9//ONZvz/++ONxyCGH4Oyzz8bNN9+895A8aQ9LFJKlkpgaoPfkCeiGN2oY7uQbr1SFPa1NKLelbyULinwgAjvSvtdkMq1ocMOyrNKGkpSkEX/qcDiMcDgMi8WiRPm1bL8aj8eVcsyhoSFNt4NKwdLSEqanp5dZ5lYD4pHf2tKKhed3AXxGmZ9MJhFPJJAKxbFmXRei0WiWeE8URUiSBJ7n0d3dneUzrqYRD0FR73oNkI8Ao/4l+MemYXWRd4uBxdUC/wfTiPpDsH3orjf9yKsw5KTmOROPxOwikoEwTO4WiNFklgUvADAMIAsSpEThzCfto9DR0ZG3oQvtlmiz2fI+J6WKiNWEGgRd6Z58I4Fc89NPPx2Tk5O4/vrrMT09jRNPPFHpH59MJjE2NqaYYO0VJE+3h21vb8fMzExNV/e5pEtHrL29vaqnjsoh3kgkgsnJSRgMhoq0CWqQPN0ul2gAynGwi8fj8Hq9ADIWt2azWYkyI5GIEikaDAa0tLTAbrdr2pglFAopmob+/n7NW9YWQy0EfyzHYt8TD8a7D70Eo9EAi92EeDiK9nVdaO1vh9/vhyzL4HkeVqsVqVQKqVQKDodDEe8ZjcZlVr3VGvHQqDUh5Y4XnJzPW8fOsgyWvPMKyQuJZF7Rmwz5w20IwP2xAxDY/jf6l5k0vM0M+wod7mjkNnSho3xi5JJvL78eEXE1++lqfkcjgDxfF1xwAXiex7Zt2/DMM89gcHAQFosFi4uLePrpp7Fx40Z8/vOfb2ySr/bFJAYoZH+2t7cX0WgUAJRSoFqATtfT++8jIyOapHBLId5yrXKrGauUYyAOdOTnpRI8IdRci1oSZTqdzmW92hcXF8EwDGw2mxLlq2Ft22iOerQBkNaCv7aRHnzksydg9q0JpKJJ7LtfLxz9HYrQNRaLKdUR5FmJxWLKFgBdoscwzDIjHpJezu3AZ7PZVlxE1Tpdn8+0xeywQRLzmAJJEkwte+aAruM2YOyWx2F02LI+Y7CZYf6w1axt/344j9mA4FNvAQwgJlMAA/RdeMKyuvdSUU6UTzRD9Yjk1RDe1XPRrQbIQovneVxwwQU47rjj8MADD+Dtt99GOBxGV1cXvve97+GEE04Ax3GNTfJA5ertQu1hy01lqwEyZjgcRiAQgNlsxuDgoGae6cU0AOTnMzMzWFxcLNkqd6Wxyr1HxCt9cXFRcaCjX+RS/ARIhLoSodK92omYk3i7z85mjFJMJpMS5ZOmLuWej8/nyzqfeuoBiB1yJBJBT09PXs/sUhCcnMM7/+95JBYj4IwGDB27AYNHr897bqYWK4aOXLfs5yzLwmw2K01wenp6IIoiIpHIskjdarUuK9EzmUyKDoAIyfJ14KMb8uSi3pG8a6gTRqsJYmqPHa2YEsDbzHANdymfaz9if8w/+x5C70+BMxogpUUwBhZrLz1d+U6GYTD01X9A+ymHIPCXvyEqpmD6u33R/pFNqp1DviifkD6J8v1+P5LJZNHrrhbUiMJXw548AT3vrl27FmvXri342YYn+UqQGy3TBij1IHkCOqOg5YOWTwNAkCtuq9abvxKSJ13sYrEYent70draqkRwpVrUkpK0cgmVYRiYTCaYTCa0tbUpZBOJRBT1LcdxyqKg0L4kDWKoFI1G0d3drUq/g2pArm8qlVJa8FaC6FwQL9/8KIx2C3ibGbIsY+ejOyDE01hzwkElfw9t4Ts8PKx0TyTXnxZP5kbqRIBHonyWZdHa2ppp8CKKito/GAwqHfhy68PrEcnnPo+sgcOB5xyPd/74AqILITAMYHW3Yt3pR4Cl0vOsgcP6fz0DwbcmsfDyBzC1taLruA0w5jTMYRgG9rUDsK8dwPT0tKbzGR3lt7e3IxaLwev1wmAwKNe9VJvjSqFmJL8aSJ6ABMGSJGU9d/RcuqpIXpZlLC4uKmr1fAriWpM8mXCBTAeivr4+zaOKQsRLxIeyLKu2VVAuySeTScXBbmhoCGazuaz9d0EQMDU1pegZqi1JI+5tuV3cSGoZQFZaP7fMi645r4ZQ1UIymYTH41E88Qu1Iy4FHzz2KgxmI1jDnj4FZqcdk8+9jZHNm5SfFwMRIBYyJOI4Dq2trUonPELa0WhUidTJvrDFYoHRaMyK8s1mM6xWKxiGySrRI8pxev++HopwGmaHDQef9zGk4xlxHG/JXzLIsCxcm4bh+rBhzkpCt1qfF1n0tre3w2w2K9spdJRfSnalHOh78oXBMIxyT+hngXjpNzzJl5quL7U97EqpbDVBSJWMRSYjrZHvHEl7VpPJhKGhIdW2CioR+fE8j9HR0bJbxNIEpkVJGh2xdHZ2Kml9klb2+XxKTX5LSwsYhlEEf9USqhogERbHcRgZGan6Hkf9SzCYlxORLEpIJ1Iw2Yv7OZCSPaPRWJI9c74SPRLl0/vCJFokRjz0XqvL5YLb7YYgCFlCsvhcCC/+bTucPe3o3TgCm92u2WS/EukWIvdcBHdO4/3fPoaEP9O8pvvY9Rj91LFZkT8Zr5bElbutRu5ZrmhSzShfrXR9qXNNM4I8d5IkYXJyEr/61a/wuc99rvFJvhSU0x62VpE8TaojIyPYuXNnzbIHdLpelmXMzc0p6uq+vj5VJ4RSSX5hYQEzMzOw2+1KNqMcgieEYTAYamZRS9fk53N+AzLXuqOjo6496YE9AkQ1PfFbetzwvz8F3rJHzCXLMhgDl/WzfKBL9vr7+yt65gwGQ94sC0ntA1DKhCwWCwwGQ5Z4z2azwWa14dn/eQD+97zgOR5T4pt4z/489vn00WjtcKluxAOoE1nHfEG8tvW/wRoNYI2Z8/I8+grS0QTWfeFk1ccrB8UIN/eeqRXlq5WuX60ED2SuzdzcHLZt24abb74ZDMNgy5YtzU/y5baH1Zrkadc4mlS1buRCgzzIxOAmFAppZv6zEsmT/XPiB9DZ2aksPkol+MXFRczOzqpa410u6LRyIBCAz+cDz/NgWRY+nw8+nw8Wi0UR7xmNxppNKOR41Fb0rznhYMy9NQGR48AZDZAlCYlgFPudetiyaDLf8ahZspebZaGdDxcWFiDLMgwGQ1a5FwBMPP0WFnfOwGi3oKUl0/MgGUvC/7/vofVTR6puxAOoQ7q7738OAJTrzDAMeLsZ8y/txL7nfhQGKhtQr5r1lcbMF+UT8V5ulE80GIWifLXS9astVU/j2WefxdatWzE+Po729nbcd999cLvdzUvytL95Od3atEzXF3ONI5FrLeH3+5XUtlbNd4qRPGnxGo1GFUvXchSuJAsRCATgcrmqqgJQA4WOhyac+fl5zM3NKR3ztKzJp4+HLKDUvD5WdwuO+PLpeO/BFxCZWwJv4rHxU8ei58DRFY9HjQqD0NQCdj/5BsS0iMG/Ww/36B6LYp7n4XK54HK5skoko9EolpaWlEXBB399FYyZg9HIQwYgSzJ4sxEJXwid7R1gDZzqRjxqkG7E4wdnXj6uLIhIBSMwWPZ4azQqyefCYDAs01+UGuWTubNax7vVQPK593tubg533XUXfvvb3+Kggw7C2WefjV//+tfNI7zLd1Pp9rDlloAR1aHaUXUikcDk5CREUcTw8PAyAVYtI3niBSDLMkZHRzXdKy5E8rTAjiiqy0nPi6Ko9E3u6uqqu9c00XyQOlT6eAoRTjgczqrJb2lpqdq9rZTjURP2TicO/eeTV/wcXfGgxvGM/eVVvLPtOXC8AQzLYOrF9zBw9Doc+JmPLvssXSIJZLbvSLlqOp0xkCH/yxkMMHBcpr5cEAGWWWbEs+D14a3bnkDY6wfDc+g+fF+s2XKQ0huhlPLOaknXuX8fprb/Dbwt+91leQNMbdmOlI2Uri8VpUb5ZLElimJJpbUrHfdqIHk6YGRZFrOzs7j33ntxwQUX4OKLL4bP58OPf/zjPVqVeh5sJaAtWAv1OF8JuT3lq0VuR7t8+3tqj1kIgUAA09PTYBgGLpdLczFYPpInWyhEAEb2Sksl+EZTrJMKiWQyif7+/qK2vzThdHV1KW1bI5GI0kHPbDYrn6lEeVyoTWy9IEkSvF4votGoKhUPyXAM7z34Akyte4SqBrMRnufexfBxm+Dob8/6vJhKw/PUW5h6/l2YXS1Yc9pHEOfSEAQBI8dsxOTjb4A1GZBKpSEnk5DSAuxdbqTENCwwZJXopSMJvPGrxyADaHU6IAgCZv76DhKBCPpO3FiyEU+1pDt0+uHwPfsOxGQanImHLElIR5MYPuMIcMbsRWKzRPLFUCjKj8ViSpUFkMlOEkOecsYnx9zMlrYEExMTGBra059g3bp1uOGGG3DAAQdAlmW0tLSAZVlMT083X7qekKnBYKgqQlWLcGlRW2tra1GBkdbp+ty9byJM0hq5JE8WGURwVa7ALtfzvd6KdaLol2W57A6BDJPdtpVWi5OafIPBkFWTv1KkQVoSN0rTG7omf3BwMMuTolIEPpiGmBJgtOXUmnMspnfszCJ5MZXG0z/6A8LeBfA2E4K75zD+1OvoPfMQbDr1aNj23Q8JbxCLu2bAsTzEtADGbsLIPxy6zEzHarVi8um3IaQEGO1myMhE/q2dLiR3LaCnvQspWcgq78uXXlYjY2dy2fGRH52Hnbf/LyLjc2BtZuzz6c3oPnb9ss+uBpKnQUf5QOYZ8/l8iMViWe2Oy3E9XC3lc3/5y19w5ZVX4qMf/SiOO+44HHroobDb7TjggAOUbnT/P3vXHeZEuX5Pes/23nfZpSNdlN5E4V5BrwUF29WfgkpRUUGaDVHxihXEi1gQFQvSsSDlKkpHEBB2YdneN7vpfeb3R/yGSTbZTbKTTVY9z3Of57qkTDKTOd/3vuc9RygUQiaToaqqCr169Yp8kic/GkKmKpWq3ephLkie7KZIubQtUVsoy/XkRkt2UrGxsTAajR3SHmCL/Kqrq9HY2Mj0qwMV2EWS5zvQ/tQ2T3gqj9lWu+xesK+ZfNISipTQG7bJDZcLMoFY5PV6oZxUi/J12f7T0JU3QKKWu9wMKTsgEaB5byEU/xoHvlCAwTMnobmkFpqL1VAkRCGxZxb4QoGbERIhj5IT50DxaeaGyePxgD/m8q1aE6LS492MeNjlZWL7SoxJ2gtZQhT6PDKlzceFo1zfkWQpFAohEomYbAuLxcKU9tmLLbaBkuf3wRXJr1q1Cq+//jqWL1/OZLlTFIUNGzbgk08+QVVVFbKzszF79myMHTvW7bklJSV4+eWXcezYMQDAuHHjMH/+/IACwXJycjBixAj89NNP2L17N7p3745x48Zh8ODByMx05RY4HA7Ex8ejsrISQCco1zscDpSWlsJgMCAxMZETu9D2knwwqW2h2smz09vY7n5c7SjaAjkXjY2NsFqtSE5OZmItAf8Fdg0NDWhoaIBarUZKSkrYV9zNzc2orq4OmaKfGfFSKJCUlORmtUvU+hKJhCF8olHwd+Y81GAvOLgeaYwrSINIKQXldDKhLjRNg8fnIWNwV7fHVh48B7FSBpqmmLx0pVIBp9UBQ00T1OmuxXdMTjJicpLdnutphGSxWKDLL0Ppj2fg+MNsRyAUQCQUAjwe5H/kuXsa8RBPBVKlAVy/B5PJ5DaiFyoiDsdOvqMFsGT8jb3LZzsm+so2kMvlEIlEnJD8gQMH8P7777uVygHg1VdfxebNm7Fy5Up0794d27dvx+zZs/HOO+9g+PDhAIDq6mrcdtttmDBhAnbt2gWtVosFCxbggQcewMcff+z3ceXl5eHpp5/G77//jl9++QX79+/HypUrkZWVhUmTJmHUqFGQSqWIi4tjLKMjnuQbGhpgNpsDjkBtDe0heXZiWiCpbaHoybO1ADk5OW432o5S89vtdgCuXV1WVhbkcjmcTqffu3fio09ElOHOgKdpGvX19YwFcXJycoccj6+Z/ObmZjQ2NgK4bPYS7lnfQE1uAoVAJMSVD/0Th1fvgFXnIm6hTIwB914Didq9PSGJVkBbVger03UdyuWulgcFJ0QK/ysdhDyumDwMTafKXUp8Pg2bzQ6DRoeYnumoaayDwnLZiAdwjy8lgUjFxcVQqVSgKAqNjY1MW4ZtCMPlIvavQPK+lPGejols10OyWH7xxReRlpaGXr16YfTo0cjJyQn4/auqqvDoo49i4cKF+Oqrr5i/V1dX4/3338fy5csxaNAgAMDUqVNx+vRpvPHGGwzJr169GlFRUViyZAn4fD5iY2Px6quvYuzYsfjxxx8xcuTIgI6ne/fu6N69O6ZPn46ffvoJmzdvxltvvYVNmzZh8ODBcDgcaGpqAtAJSD45ORlqtZrTnUIwhMse2QumZcDn85ks+/aCfSxqtdrrTrMj1PxGo5HJCIiLi4NMJguI4B0OByoqKmCxWCJGQEYWHImJiUyoEdewWW24cLII9VUNEAgFyO2Zi9ScVObfyY1LpVIxCw6ymKyurkZ1dXWLsn5H3XS5MLnxB9GZiRi/7C40l9aDcjoRnZnIBLuwkXlNX1z66RSECikUCjl4PD7sZiuis5Mgiwl8UyCNUmDo4//Cb5/uh66yAQq5HN3GDUD6yB4w/tFeIXbH7PIw8ci32VyWtRKJhBEgskfFPJ9Lpi2CPX9tWd6GAuFQqfvznmwNDNnli8ViREdH4/jx4zh+/Dg++ugjZGZmYvjw4RgxYgSGDRvW5iLVZrNh1qxZGDZsGKZMmeJG8vv374dIJMKECe4TKFOmTMG0adNQXl6OjIwM7NmzB1OnTnX7DKmpqRg8eDB27NgRMMmT8y4WizFmzBiMGTMGZ86cwcaNG7FlyxZoNBqkpKQA6AQkz+PxOHc3C3SXyx7ZS0hICGoemaudNUkX02q1rR5LqMv1TU1NqKqqglwuh8lkgtPpdO9jtgFPj/VABG2hQEctOBw2Bw7sOADKSUEqd40VnjpwEgatAQV9C5jHsUfS4uPjwbfxQDmdSE1Ogdlq8TqTr1KpQmqdHAqTm9bA4/MRk5Pk898NBgOaaBNybr4KjXvOwWG2wW6xQyAXI3V0H1AOp1/++p5QJcXg6rlTWvxdqVK5tVYMBgMaGhpA067YT5lMBoPBAIFAwCx4AdeIZWxsLOLj42Gz2Ri7XS6MeMKRrBZJO/nWQPISNmzYgJKSEnz//fcoLCzEsWPHsGHDBmzYsAEzZ87E3LlzW32d5557Dg6HA88//3yLfysuLkZycnKLii4p6ZeXlyM6Ohr19fVeKwhZWVkoKioK6HMB7kmdhFd69uyJZ599Fg899BAeeOCByxXAgF/9T4BAdvI2mw2lpaWw2+3tMpXhYmdNlNUWi6XN8cFQkTzb0S8mJgbJyckoKSlBU1MTtFotQzatpbcZDAZUVlYyQppwW8LabDaUl5d3iGK98lIF7FYbFGrXWCCfz4cqRo2SsyXI6ZEDkVjklmqnFCtw6JP9sBotoGgaIrEIA/5xFTK6Z4GiKKasT2byiYMY2eVzUUpntzBCYboTDHQ6HSorK6FQKFBw42hQk4bjhxWfQ1/ZAL5EiCOf7sVvOw9j3GP/gjyIHX1rYLdWyDnQarXMRAuPx0NTUxMz6kV2+Q6Hgxmx9BwVC9aIJ9RKd1/vGY6efHuu5ZiYGIwcORLTpk1DXFwcTp48iaNHj2LMmDGtPu+rr77Cd999hy+//NLrRsRsNnuNcSZ/02g0MJlMbn/zPC5ikR0s2C6ufD4fMpkM+fn5TLRzxJN8KC4mf0mePe/dXlOZ9u7kSXwuj8fz276Xq/YAAXuiIDk5GVFRUaAoChkZGYwBCdtX3Ft6G9kNKpVKpKamhn1ulR3q0hGe+PUVDZAqWp47mqZhNpgBFRiPgPT0dOx/7xvwBHwoYpTM4w5//T/Epd4IeZTLYEelUjH9SG8z+cRqVyKRBPx7YlcUEhMTERcX1/4voZ0gNsdqtRqpqang8Xg4/+MpaOu1kMdfXvg6LDb8su5bjH3sppAdC5/Ph1AohNFohFgsRnJyMpOkR4RPRPktl8shkUjcUvQ8jXhIWZ88VywWu+3yPc9fOEg+HOX69i4s2BUPoVCIAQMGYMCAAa0+5+zZs3j++efx5ptvIiMjw+tjfI0rEwe/2NhYRkdDWjWej+PKyIqcE4FAgFtuuYXRsEU8yYcCbZE8TdNobGxETU0NlEolMjIy2k1G7dnJk9K4TCZDZmam3/a9XO7kybgUex6a9N/J6lEmkzG+4oTw2UpxHo8Hi8USERa1QGhCXdpCVFwUmhuaIfNIcKNpGuC7xmwAVxnPUK+D2WiGKvZy9YjH44EvFKDk5AX0GHGF2989Z/LZ3u719fUBz+RzbXLTXpDfZX19fYtr6NLBc5CoXN+p1WSBtqYJoGmYdSbYrTaIJKFZvBmNRpSXl0MqlTL3CYVC4ab8JgtfdqWF7PLZRjw8Hg8qlYpZPJNdvjfVOJkN/yvt5LmImQ3kN/7DDz/AbDZj5syZbn+32+04fvw4li5digceeADV1dVMrCtBcXExACAjIwNisRhJSUkoLS1t8R4XL170uYAIFgqFghEBAn9hkvdFgOyed6CWuW29ZzBiP1Iaj46ODih8hEuSN5lMKC0tBZ/PZyJMWxPYkR4kUYrr9XrU19czlQWdTgeKopiyfjh2BYQsoqKifMYShwKZXTNRfLYYTocTgj/6xWa9CdHJ0aiurXabydfaNYCXU8gX8GH7I5PcF4RCIaP2Zs/k6/V6pizMrrR4loVDYXLTHpDfQlNTExISEtxyIdhoqmxAU2UDeAI+eAB0tU04tuknDLmt9bJsMNDr9aisrIRcLvcqQvRUfpMdPln8Aq5KC3vUi73Ll0gkTOyu3W53U42Tfw+HWVQ4PODbmyAXzAjdtGnTMHHixBZ/v/vuuzF9+nSMGzcOUVFRWLNmDXbv3u322J07d6J3794MgU+cOBE7duzAjBkzmM9RW1uLY8eO4e233w76c/mDiCf5jizXsyNrg7XM9YVgxH6+wm78AVcje83NzaisrGR2u+R1A/Ggb2xsZMr6fD6f2eWTIJHWyIZreAraOnpkTyKT4OrrrsZvv/wGfbMefD4f0UnRUCQqGBMgstuITYuHQNRy52Gz2JHZ2/8xIPZMPpnpJmRTU1PjOi7WTL5AIEBFRQWjUQi3KJKmaVRVVUGn0yE5OdlrlHTu1T1w4ov/oamqEcI/bF8ppxPyWDWKj5xHt1F9EZ3Cnb8/mTLwN/mPPd+dkJDAVFqMRiOamprQ2NjIVAFIih57l8/n86FWqxEdHQ2KohjxHikLE08H8r9QVqXa2x8PBu1dWDA+7gEcN9moeEIkEiEhIQF5eXkAgOnTp2P58uVITExEt27dsGvXLnz++ed46623mOfceeed2LRpE5YtW4YHH3wQOp0OCxcuRM+ePTFs2LCgPxcA7Nq1CzweD9dee63Xf494kg8FyI+HXXYi42D+RtYG856Af6UuEu7icDiC9gdo706e7TJI5sUDdbAj/W5imEIUqHK5nFEpE8InZEN83VUqVVA95NbAFrSFs/ysilHh6olXw+lwoqm5ibFFJv1lApFEjL7jB+H4zoMQSl2xtlaTFdlX5CE2Nb6Vd/ANHo8HiUQCiUTiVlImO3yiyOXxeEhMTAy5RqEtkMqawWBodeqhYNQVOLfnVzjPl4NH06ABCCUixHdLh8NmR/nJi5yRPNEEtGfKwLPSYjabmYUX6fGSPr5MJmuxyydGPGq1GpWVlVAqlbBarQzpkwoBWTBw+TvqjOX6UE4hPP7444iKisLjjz+OhoYG5ObmYuXKlRg1ahTzmJSUFKxfvx7Lly/H2LFjIRaLMXbsWDz55JPtXpCtX78eSqUSEyZM8HpeOgXJc91f9lQjajQaZiUcKjcx9nu2dlINBgPKysogFAoDMtvxRHu+M9KLJTn0bAc7f5OgtFotqqurW7WoFYvFiIuLY8iG3OQ8fd3JaFh7fqDs0JtIKT/XN9SjqampRSyr3WbHid1HUXa2BDRoxOWkQB2tBGga2Vd0QXxGImfHwS4pGwwGZlEmEAgYPQWZyVepVJySfl1FHc788hssRgvSuqSj28DuEEsvvz6pZpFpktaCivhCAQbcPhrNGh14NCCSiSGLceXH2yxWSBTclLUbGxtRV1fHqa6EKOqJex47urixsdFlBsQy0yH3BIqiGDMqtVoNiUQCp9PJ7PI1Gk2LCgEX7bHO6JUfTE/eF/bs2eP233w+HzNmzMCMGTNafV5BQQHef//9dr+/J0QiUaumXZ2C5LkGucgdDgfq6+vR3NyMuLi4kLqbeUtrY4NrsV+wan673Y7S0lLYbDbmxhqIwQ3bojaQfrenxajJZGJ2+aSHTMrJgY6GsUNv2BWFcIEdE+tZfqZpGj+s/xZNtRrIVa5RvrqyGhi1SkyaMTlkvVD2SBppy7DL+mQmXywWM+egPTP5F09dwMFdv0AZrYRQJMT5Y+dQerYEE+66DmKJmFmUkWqWP5W11K4ZUMapwBcKLtvh/rGozuqfH9RxErDHCD0XZVzDV3Qxu8Ull8shFovR3NwMsVgMoVDI7PLJogwA4wDnWSFojxFPR6vrubCkDYefQEfBYDC0qs34S5I8uahJfGhaWprXPh+XYO/kPUFu+s3NzZyJ/YJR87PH9PwR2HmCTV6tiaPaAruH7Gs0TCaTue0ufb0PEUdFSugN23THW2xtY2UDGivroWTNdsuUMmgbmlFTXI3ULmmcHxMZa/RsGXibBydkQZLAFAoFI6D097t1Opw4sf84ohOimb/JVXIYdUZc+LUIXfrlo6ysjEn+83dRJhAJMXrGP7H/vzth1hoAmgeRTIwR/762XTt5tuivo8cI2dHFxFGPrdYnx6fVahmPfHZZn1ghx8XFuY3otceIJ1z59ZGyk480WCyWVr09OgXJh2IcDHDtWkPRf/cGT3ciAofDgbKyMiYbnKvFRqDfmVarRUVFBTMKFKjAjp25zqVjnK/RML1e73ajIrPg7N0lIS9/xVGhBtt0x9futKlOA3j5vgVCARqr6jkl+UBMbvh8vttMPlspXlVVBeDywqutmXyT3gin3dni73KVHJd+L4YwRuTafQdhlBSXkYgpT9+JpooGUBSF2PQEZoohGLCFmr5Efx0FoqdwOp1oaGiAVCpFbGwsU/VqbUSPTLZwYcQTrnI9F8K7cI/tcg2i52it/dgpSJ5LkLxzAEhLS+sw5TBbeEdgNpuZHUtOTg6nTmuE5Nv6QZIbfV1dHSMkClRgZ7FYUF5eDgAht6hlC5ZIKVOv17fYXZKdZ6hLq/6CtAzaMt2JTozxujhzOpyITQlObOcN7TG58aUUJzavZCafvfBi36DFUu8LAJPBBIFcyIwRBlt14fP5iMtsv26BXZmKBJ8AAIxuQiaTMYtx0uJiV7w88+5JeZ8LI57OWK4PZMPSmeBwOGCz2Tr/Tp4LUBSFmpoaaDQaREVFMb2tjoLnTp7snCUSSUisXf1R87M9AUggS6ACO71ej6qqKs4y1wOBZynTYrEwOxryPZvNZmg0Gs5FY4EgkJZBfFoCYpPjoGvUMoY5FpMF6jg1UvJSfT4vEHBtcuNt4UXIpqmpqcWYpEQmQUpuKmpLay5/RrMFdTV1GD11LDIzM8NeViXfkclk8tpWCQdam8v3VvEiu3StVuuWd88m7UCNeAiZdDbhXThm+zsCDocDVqu185N8ey8odkk8NTUVarUaWq22Q/LWCdg9+draWsaIJS0tLSQXX1tCP08ffLL75fF4fvflNBoN6urqoFQqQ/Y5/AWPx4NQKGTyvElFghjxENEY2V16swgNBci4lb/fEY/Hw/i7rsWxbw+j/LyrypOWn45B113FyffLNrlpS7EeDHz1kPV6vdtMfv7gAjidDtSV1cFiNsNqt+GqfwxF997dw34zJqp+4pcR7kkM4LIwUqVSIS0trc1rVygUuglZ2SN6ZMxOJpMxhO+vEQ/Z5Tc2NsJut0OhcPk7hPK3xNVOPtwLx1DA4XDAbrd3fpJvD8xmM2MnSEri5KLpiLx1AnKB1tXVwWw2IykpKaRGLK2RvOd3IhaLAypn0TSNmpoaZiohEsrhni0DojYlCmVygyOz4AKBwM3i1d8bgMPuQFNDM0RiEaLjfO+A2f3uQMetRBIxhlw/DEP8erT/8AziCXWryttMPqMS12mR1D0FiQVJsFltiI6L4TS6tqa0Gkd3H4VZb0JSdjIGjBkIhbptsvZ0+gu3ERBw2XjHm5eCP/A2okd2+RqNhjG38ZyrZ5NrVFQUoqOjmc2BSCRCc3OzW4ssVEY8XKnrw714DAXsdjscDsdfV11PPN+lUikyMzOZUrIvEVwoQeZZLRZLu9Ls/IUvNb9Op3Pz2g7GwY6UMVNSUrwmK3U02Kl23loGxC2MCI7Yuxr2SBJR6/tqOVw8W4zD+47A6XCCBqCOUWHclLFQqNxX0WyHtlDm0gcCi8XCmD11RBCPN7DHJCmKQnV1NXQ6HeQqBcxmM4qKiryGGgWKC6eKsHfjD5CrFRCKhLj020WUnLmEm2bfwowlegMhMCKMDIdlrCe4MN7xhEgk8mp5TH4PANzEeyRFj6IoZqcfHR0NuVwOm83G7PJDZcTD1Zz8n5HkbTYbKIpqdTH6pyR5stNsbGz06vlOStIdRfLETQ8AEhISQk7wQMudPJlfZ49KBSqwIztBh8MREYYyQHDlcPauhl1OZofpkLI+KUU2N2px4LufERUXzXxXNqsNP2zZi+unT2JenyyCyLRER5zrtmA0GlFRUQGxWBwys6dAQEbSyCIoLi7ObSa/rq4OtbW1zEy+SqXyu71CURQO7fwFqlg183ipQgaz0Yxje45i+OQRXp9HLK1pmg7bIsgTZDqEOE6GYqHIHlclLpRsESVN08yYnUwmg0ajAY/Hg0AggNPphEAgQHR0NGJiYtyMeLxZ9crl8qB2+e1Vxv+ZZ+StViujx/CFTkHygZxcUm4zGo1ISUnxuYvqKJInan6FQgGj0dhhfSE2ybMFdmR+PVCBHTuSlZT4w4n2lMPZYM+Csy1ePV33zh0vhETuvisRS8TQN+mga9JBHaNu4aoXylx6f0GS9uRyOdLS0sLel2Qr1tmVIG/ngS0aY/f6ib++N1hNVtisNsjF7tUYmUKGmpJqr88hrR4+nx8SEWwwIM56bY02cg1f3gik1QW4evl2ux0CgcBtlw94N+IhAj7yXEL6rflbsEHEw8F+B1yU+yMVJpMJTqez1ftxpyB5f0FG0iiKQk5OTqs7zVCTPBlR0mg0iI2NRUpKCn7//fcOE/uRC9pms6GyspIxXyGCKPZj2kJzczOqq6sZVW8kEUVSUhJnecyeqWHs5LbK8krom/VQWK1Mn5kvEICGy4aWrQmIBFc9wLfJTbjgr2K9tfS2qqoqmA1m1JfVQywSo9egXohPvqxtEUlE4Hm5rh02O2KSWo4JktFGoVDod4xzKMF2jAy33oV4I8jlcpjNZjidTkRHR8Nqtfo1oudpxGMymWA0GtHY2MgsoNm7fF/3I65iZv+MJC8UCtG7d+9WBbR/GpJnj6T5s9MMJcmzqwmpqakMCXVki4DcGCorK8Hj8RjiCVRgR3bLoSwZBoK2HOO4AruMmZiYCNh42LN1LyiKYnYlAqEAcAIQuHLgSTk83DvBQExuOgqeqn5/Wz2eM/lnjpzBj1/86FIVO+04+N1B9Lq6FwaNGcTM5Of3zcf5o+egiHLd+GiahlFvxNjbxqP4TDHKi8oRlxqHtC5pqKuvg0QiabeNNBdgn7eEhATEx3PnixAsnE4nysrKYLfb3TwwfFVbPOfq2UY8xB2RbcRjNBoZXQwxU/I04glHzGxnQUZGBpYvX46kpCSfj+kUJN+WmQvJXA9kJC1Yb/e2YLFYUFpa6rWaEKr39Aaj0QgAjPlKoAI79m45UsRjVqsV5eXloCgq5KY7bPB4POR2y0FpYSkqS6sRHaWAyWiCXm9Az8HdUVdfx9ykrFYrBAJB2G4o7TG5CRXYgrZAFOuEnMUSMcQSMaxmK37a9hNiE2MZArHb7Sg8Woj0/HRIlS79RHrvTJhNZpSfc+lgxFIJRt00Bvs274emTgORWATzL2bYHDZMvGsiMvMzw04A4bTO9QVPgmf3fVurtrATJcku3XNELxAjHq528uFexIUCUqkUXbp0afUxnYLkfaE9meuh2FXrdDpG4OStmhCMn3ygYAfdAC6hX6AEb7fbUVFRAavVGjFGIEQ8JhKJwtI35fP5GH39KFSVVqH4XAnkchni0+NgtpmZUiXpWwbr6d5ecG1ywwWsViuThxCID/2lcyXYv/1/sJit4PN4yCzIRE5BFhwOB3MN83g8lzhPpYRD70BO7xyGaNL6ZCClZyoEfCFi42Nx9pezaG5ohipaBavNCopHQSQW4exPZ9GjT49QfgVtgj2SGm7rXALiLUJEtq0Ju1pzQPQmwJNIJMy90NOIh0y/sI14ANfvj/jzB/p7+jOTvD/otCRPRoKcTieys7MDNvXgkuQ9leu+BE6h3smzg27i4uLQ2NjIhBcIBAK/CN5sNqOiogKAq7ccCWNERBOgUCjCKh7j8/lIz0lHWnYac1OOj49n/A7Y1qLECRBwiY2IWj9UvfpQm9wEA7aVL3uEtS1o6jTY+dk3UEeroPqj5F52oRyNVfWAt0uYdvUmfTm+NTU14ddffgWPx4ND64DD4YBY4lLuN9Q0wOlwtsvfvj1gV14iZSQ1EIL3BrYDIlvbwhbgsZ33hEJhq0Y8NTU1cDgcLXQA/hrx/FnK9b7aFm0aI4XqgLiE54cgO2aRSITc3Nygbpx8Pp+ZXW8PPJXrbYV8hGon7xl0o1QqmTxqjUbD7Cxbi2kltpkSiQTp6ekR0Vtmx9ZyNSfcHpDzbTAYWtyUPa1F2bngXEe1stFRJjd6rR4/7f4FDTWNEElE6DvkCnTr5T3ClVRegul3H/vxOGRyqdtNWaGUQ9ekA5/Hdyvfkt1g/hXux8F2fHPYHTA0GVBTUQuKoqBQKZCUmQiaouG0O11K8TCQPE3TqKysjChvfDbBB1J58QW2tgUAM1fvbURPLpcz78cmZqFQCKFQiKSkJGaXH4gRT3t28kVFRVi5ciVOnDgBh8OBnj174vHHH0fPnj2Z196wYQM++eQTVFVVITs7G7Nnz8bYsWPdXqekpAQvv/wyjh07BgAYN24c5s+fH1CVNNiEwE5B8gQ0TaOurg719fWt7pj9AReES7LXif1lWz/SUAnv2DoAtsAuJycHNpuNyWVnx7SSRDGiiCUWtZGS2EayBthjf+EmeHbSnj+7Zc9ccF9jYaSsH8y13FEmNyaDCV+8/zWEIhEkUpdD4v5dP8KoM2DA1f3cHsse2wvGxU6r0UEsafk5eHw+hk0ehl92/gy7zQ6apiEQCjD6htFQRvk+F9vX74DZbIHNZodcIYPNYkfFhSqk56YhLi0Wl0ouQSKRMIuvjrA8Zi8WI8VPweFwoLS0lDEDCkXVSSwWQywWM78JthGPZxKeTCaDw+GAxWJhYqfJCB4Av414gt3Jl5eXY/r06Zg4cSK+/vprCIVCrF27Frfffju2bt2KrKwsvPrqq9i8eTNWrlyJ7t27Y/v27Zg9ezbeeecdDB8+HABQXV2N2267DRMmTMCuXbug1WqxYMECPPDAA/j444/9Oq6amhqcPn0aKpUKQqEQYrEYIpGIqWqo1WqfVQ0e3ZEG7kGC9GkqKioYIVh7R0uqq6thMBiQn+99J9IW2Nnr/u6eSktLGbMNrqDX61FeXg6RSMQEe/iaK3U4HAzhG41G0DTNzKpardaIUWKzDWVI1kC4wRb9ZWRktGu3zBYq6fV6WK1WAK4SJqm2+EPWHWlyc+CHgyg8XQS50n3232gw4c6Hbofwj50wMSdqz9jesR+P48i+o1BFXd7l0DQNq8WKux+706U9uFgBh8OBjLwMSOW+y8mNtY1Y++I68EV8aKo0MGmNoGgaDpsDvQb3wD3z74GDutxDJgYvbE1FKGxa2aOEkdBaIeJIiqKQmZnZ4SOg7JwDg8EAk8nE/JtAIEBSUhKkUilj4EXA5/PB5/PhcDiYXb7JZAJFUTh37hy2bt2Kbt26oUePHhg7dmxAEwvLly/HqVOn8Omnn7r9/ZprrsGkSZNwyy23YNy4cVi+fDmuv/565t8XLVqE8+fP44svvgAALFmyBIcPH8bOnTsZQq+qqsLYsWPxzjvvYOTIka1+LzweD5s2bcLChQuRluaKmiZELxaLGQ+MwYMHY+DAgS3E551iJ2+321FcXMyoPLkQgrVnV03scmUyWUCzteRi5AJsgR3ZfZNVqy+BHZlbJatonU6Huro6phem1WpBURQzGxuO3bxn6TkSDGXYRkBc7JY9hUp2u51ZfLFd98gu39sKvaNNbmoqalsQPAA4HQ6YDCaoopRobGxEfX19u8yJAKD34F44e+x3GHQGKFQKOOwOGPVGjJ48CgKhAAIIkNM9p83XoWkaF85fgNlkRlJaEuJ7x8FqscFisoAGje4DezCfyaKzoPK3SvCEQFaPLFitVrf+Mdtqt73jXOXl5TCbzRETfsMm+KysrLAYXXnmHJhMJpSXlzPfdVVVlVtpXiqVMtVYck/1NOIpLCzEmTNn8OuvvwIAXn31VYwYMQKjRo3C0KFD29Q/zJs3DxqNxuuxGgwG7N+/HyKRCBMmTHD79ylTpmDatGkoLy9HRkYG9uzZg6lTp7rdT1NTUzF48GDs2LGjVZInn3/IkCH4z3/+w4RukQoGaQUWFRVh9+7diIqKwv33349//etfzD2hU5A8EdVwucIMhuTZ43re7HLbAlfCO+KN3tTUxBhmBGpRa7fb0dDQAADIzMwEj8eDXq+HXq9nymaEZFpzGOMSXJMpFyBkSrz+Q/E9iEQir25vnmE6ZGfZ3NwctMlNxcVy/PD5D9A16aFQyzH6xjHI6dE2YSYkx6O4sAQyj10zXyCAVCZBXV0dNBqNmxAxWIglYtz8wE04+ctJXDpXAnWMGtfcMh6pmSl+vwbpd0MAKFVKSP+4b0ikYkikYuib9UjJcr3e9599j+P7jrnuCTSNI98ewaR7/oH8vvktNBUikYg5F4FqKtjpdpGygI0EgveExWJhKlSZma7xRjJX721ETyaTeTXiufbaazF69Gjs3r0bP//8M06fPo2tW7di69atEIvF+Oyzz5jeujeIRKIW8+fvvfceSktLMWHCBHz33XdITk5uwUlZWVkAXOX+6Oho1NfXIyen5W8sKysLRUVFfn0nqampSE1tPWr6zJkz+Oijj7BkyRKUlpbi8ccfd30Xfr1DmMHn85GZmcmpaC1Qkm/PuB77Pdv7GUhf2GQyMaXsQB3sSJlXKBS6kSnbz50QPlGIB1pKDhRsMm0rc72jQBzjOlKn4Dl/TMJ09Ho9Ex4CuM5HoC2rigvl+PiVDZDKJRAIBdA16fDZ65/ipgdvbiFc80S/IX1w7rdC1JXWoK6kBjRFQ6yUYvwt49HQ2ACtVsup+6BUJsGVYwbjyjGDA34uuxzeo08PVJypRHVZNRQq167ZarZCoVYgv1cX1JTV4NjeY1BGXd5R0zSNXR/tQpc+XbxqKvR6PZOxzg7Uae2aJTPnkZRuRzRFNE1HFMGXlZUxDoRkUU0qX94mJ9gjeiRUh0y7iEQi9OvXD927d0fXrl1RVVWFffv2obCwMKDSvclkwgsvvIDNmzdj6dKlGDhwILZs2eK1GkD+ptFomLaDt8fFxMR4rRR4A3sB4+3fhEIhevbsiZdeegn5+fl45ZVXkJGRgalTp3YOkg8FyEXgTY3oCavVitLSUkZxGmy7oL3CO3IcRBgjk8ngdDr93r0Dl3umvsbR2GUztkJcr9czwSFtlZIDAVv0p1arkZKSEnbRHxF4EkvicOkU2GE6CQkJqKiogMFggEgkgslkwsWLFyGVShmSaetc7P78B4bgAdeCQq6S44cvf2iT5FVRKkTJ5Dh97lfQAAQCPnh2Coe/+QXx6THIysmKCHU4W89ByuHX3/1P/LTrAApPFoKiaaTnpmHMDaMhFAnx24FTEIpa/gZsVisqLlQgt2cugMsWr8SxjYxKsgWtUqnUbVSSnAtPxXokjKUSggcQMQRPPBU8Cd4T7MkJz1RJnU4Hu92Ot956CwqFAoMHD0bXrl0hk8kgkUhQUFCAgoKCgI6rsLAQs2fPhkgkwieffII+ffoAAGJjY5mWDhtEBBgbG4uYmBjweDy3BTr7cf4uink8XpsbHzJid9999+HUqVP44IMPMGjQoL8uybOjWFsrwbKFbXl5ee1qF7SnXG8wGJgc59zcXCYFKhCLWkJcgVjUshXi7AAXsoImAS6klBwIGbJNQLgo83IBdgQqlzvT9h6Tp8kNO5vdM0zHl6ZCp9G2GBXj8/kw6YxtHoNBa0DpuVLk93S5a1E05XL9a9ajubIZffq6bnzNdU04uOsX6Bq06HlVL3Qb3KPDxtM8s+BJOVwkFmH05FEYPXlUi+cIxELQVMvqGo/H93ncnqOSbPMXoksg50Imk6GhoYEph0dCpgFJ3AMQMYE8ZAMTaIaAZ6qk3W5n7k1HjhzBvn37wOPx0KtXL4wePRqjRo1C9+7d/d5InDx5Evfeey+mTp2KOXPmuH1X6enpqK6uhs1mc1skFRcXA3BZzorFYiQlJTELKjYuXryIjIwMv47DYrHAYrEwCYDEVZMIrEUiEbOJ5PF4uOmmm/DZZ5/BYDB0HpInO2+u0BbJs4VtSqWSk35ssOX6xsZGVFdXM3GqbQnsPMEe10lKSmJWl4HCW4ALEYx5Or211cd3Op2orKxk0gIjwQQkEmNifY3tsbPZvZ0Loqlgl5LlKjmMOiP4gss3OJqmW1WnE2hqNXA6XOVCUrqmKArRsdGoK3NZkRYeP48vVn4Kp5OCUCTEuaNnkZqbhrufvg9CUWhvNcFmwfcd1hdHdh9xq+hRTgpShRTpeel+vYYv8xeibwFc7RWTyQQ+nx9WUrXZbCgtLWUcCDszwXuDSCRCYmIi3n//fRw+fBgnT57E+fPnceLECfz222944403cNttt+Hpp59u87Vqa2sxY8YMzJ07F9OnT2/x7+PHj8ezzz6L3bt3Y+LEiczfd+7cid69ezMEPnHiROzYsQMzZsxgrrHa2locO3YMb7/9dqvHQK7Lr7/+Gp999hmcTicjPCSj0FarFY888ghycnIYXhs6dChGjHDFKncakucabJL3BNs5Lj4+vl1KYc/3DGQn75lkl5SUBIqiAhbYkfhTLp3Q2CYXpHxJSKaqqgp2mx0OB4XExAQkJSe63Uw8I1kjSWEcSap+9qRBa179nufClzdCvzH98M1H30KlVoIncC2aTToTJt41qc1jiYqPclWPKFc1BzSgVCphMVmQnJkMiqKwbc1mCEUiiCSu61IoEqLyYiV+3XccA8cH3lv3F+ws+EB3y7FJsRh3yzjs/WoP7FY7wHPF0t788M1BVSDIuRCJRNBqtUxp2Ww2M4Kxjp7JJyAETzROkUDw5NwRV0QutDhES5Seno7Ro0dDpVLBYDDg559/xoEDBzB4sH/X4ssvv4wBAwZg6tSpLaaieDweoqOjMX36dCxfvhyJiYno1q0bdu3ahc8//xxvvfUW89g777wTmzZtwrJly/Dggw9Cp9Nh4cKF6NmzJ4YNG9bqMZBro0ePHpg4cSKam5uZ9oTZbIZGo2EsyIHLiwL2BqtTzMkDrpswl0YyJpMJxcXFyMvLc7t5sp3jUlNTOfWRJtnyPXv2bPOHzRb6paSkMDs2wH+BHbEV5fP5SE9P77Be4E97f8GB/YdgsVjgsDuQlpWCMdcOR0xMDEQiEerq6sDn85GRkRER5Uu2oUwkHRMZIcrMzGzRM/U3tINdSjYYDCg5W4KTe0/CYXVAqVZg1A2jccXQK/w6pg2vbcC5E+cgVbhUzZTD9Xuc+dxMGLR6vDt/NUQSd+KgKArxqfG47/kZfn7ywED6uO0lLrPBjNLzJRBJxMgqyIJQfJlsrBYrvvn8OxSevuDyuSjIwqSp10Gh8r4Q9HVM7HaX0WhkZvIJ4YdiJp8gUgmeHFNWVhYnBG8wGBhb7ry8vHbpRMaMGeOa0PCCwYMHY/369aAoCu+++y42btyIhoYG5Obm4uGHH8b48ePdHl9YWIjly5fj119/hVgsxtixY/Hkk092iI6l05C8w+HwqS4MBhaLBRcuXEBubi6zazObzUzvJBS7uebmZlRUVKBHjx6t3qDJTcLhcCA9PR1yuTxggV241OqFv1/E1i93IS7etTiiKBqaRg3Ss1LQ78rezEKFlJq5snYNFgaDAZWVlR1iKOMvfJnc0DSNn7//BQe+Owib1QZllBLX3XINuvZpXUhE0zSKTl/AoT2H4XQ60XNwd0QlRjHXFLus74tkTCYTLhVfwvEfjqPuUh1oikZCWgL+cfc/EJcUB12jFm89+nqLsrzD7kBm1yxMf+oubr4cFjoiC56maby34gPUVdUzM/VmkwVKlQIPLr6/xW7fUx3u65g8BWNsQySiq+BKDMfVQohLhGLRYTQaUV5eDgDIzc2NiBZgJCD8d7QwwbNcT/LoyTx+KH4ITM+vlV2YwWBgQj1ycnIgFAoDFtgR8U841OqHfz6G6JjLvWw+n4f4hDiUXapCnwE9oFC67CaJvSsX1q7BggTfEK1DuFX9QOsmNz99+zN+2LIXCpUCUrkUNqsNn6zaiHvn3YXMLpk+X3PTus349ZeTkMpclZyLZy/hqrFXYswNo9xaLIB3kiG7I4VSgdsfvt3NVZFAHReF+NQE1FfUMbt5+g9nueE3+jb7CBbELIXMUofquqkqq0Z1eY2b+55MLkVzYzMKT19A975dmb8HsujwJhgj54LLnAPS7xYIBJztltuLUBA8uR5omv6b4D0Q/jMeJpAbutPpRG1tLerr6wPKo2/Pe/oqnpByvkKhQHp6elACO6IMD5da3Wqxut1waRowGPQwGPRQR0UhPT2NEVGyrV3JKAqZO1apVCHbcbCDbwKZNAg1yFy+N5Mbmqbx8+6DUKguTzDw+XzI5DLs3rwX/57nfadcU16DU4d+cyMpkViEw/uO4OprhiAhIYFx3SPngk0yIpEIRqORuSbJNezt+7rtiWn4eNmH0NQ2wul0RbmOvnUssrplc/gtXV50yGQypKenh3RhWF/V4FV9LxAKUF1WzZB8excdbEMk9ky+TqdzC2IJJL6YS0EbVyDaF9KG4prgc3JyIiKqN5IQ/rPuJ7i+CZObVX19PSwWC5KSkkJOiuydPBtklKyxsRExMTFITk4OWGDncDhQUVEBi8US1kSrnC5ZOHPyHJQqlwhMq9XBbDYjJTUZGRmX1cqe1q7Et1qv1zPWrr7mjtsDdrRnpATf0DSN+vp6NDY2+pzLt9vssFvtLZTwQpEQWk3LWV2Cc7+eh7d8VofDiYtnizFgeH8A3sN0GhoaXCI7uMrQZNLEV8VFFaPGjBUPo66sFiaDCSnZqZAquNWB6HQ6VFZWdlj1JSkt0et7OB1OpOe4fMRJmZgrV0TPmXyyGGZXXGQyGbPL9/bb8Ldt0JHwnM3nguBJ9YSEc0XCyGukIfxnPkwgMbPEYrIjxqW87eQ9nfSio6OZRYC3kBlvYIenhFsZftWIwbhw/hKaNM1wUk6YjCbIZDLccOs/Wn2eWCx2s3YlhE9aDyKRiCH8YEuX7LG9SIn2ZC86EhMTERcX5/VxIrEIUpm0RZncZrUhM8/3rK1CrQBNtdSy8ADIlb7V+mQuNyYmBmq1miEZYurhq+LC4/GQlJXsz0cPGKS90p7wm0CRnJGE9Nw0VF6qglzluu7MBhPikuLQpWceU1UINnGvLXguhtlCyoaGBmYmn/3bIIr1PzvBk4UM8SDw9dv5MyKQZL1OI7xzOp2chbsYjUZmXCouLg4pKf57YrcHnmI/0psi420ymSyg8jxwWTgmEomQkZEREaIanU6HPd/9D5Vl1ehSkIerhg+COio4l0ASR0n6lQ6Hw02RrFQq/brQ2WN76enpETG2x/Yv8GfRcfLgKXy1bgsUajkEAoFrd2+zY8ai/0NiSoLX51hMFrzyxKsQCkXMfDyZd3/8lUdbCOVIPkNTU5PXSgc7KYzs8rl0QPQF0soIR3vFbrPjhy17cfbEOdAUjS698jDhxnGwO+2orKxk3CM7WtPhGdVqt9uZVphQKERGRkZEuetxaZ9LCJ6MvCYkeL/+/2woLS1FdHS0272iLdfWTkPyFEUxu+/2gN33NpvNiI+PR2JiIgdH2DasViuKioqQnZ0NHo/XYj40UIJvy6I2HAjlooOULgnhW61WRsBEdjLe3o9UOmiajpgbH7u9Ekjc6PlThdizdT9MBiPikuIw8dYJSEz1fv3a7Q447HbUVtbh89VfwGQ0AwCUaiWmz74NyRnuO24SfKTT6ZCcnNxmb5M9EmYwGBhjKXIuFApFu4mPrZ8gYUzhbq8Al9sGKpWKMagKJ2iahk6nY3wRyG1dIpEw5yNUC7DWEIoAHLa9d0ZGRofdv8MNYs4jFotx5ZVXYsyYMejbt2+bz/vLkLynsUxKSgoKCwsRFRWF5OTQlBc9Ybfbcf78ecTFxUGj0TDCIWKSE4iCnuy22hvrySU6etHBNn0hQRCkj0/U4aRnF0mVDrbxTnuz6b2/vgNbNu7E2d/OgXJSUKgUuP7m66BWKsHn85CY1rLnzw51IcFHgYDt9GYwGGCz2RhjGFJxCfS7Z1sxR4p+AnBN4lRVVXVo26AtmM1mlJWVMcI/AG7+CGQB1hEz+QQOhwOlpaWcEzwZL05LS+uwe3ck4NixY5g2bRruvPNO/PLLL+DxeBg6dChuvvlm5Obm+nzeX4LkiTUo6cUScUZRUREUCkWbEX5cweFw4Ny5cwBcqUQpKSkB99/ZfWV/dlsdAbZwLFyLDk/TF5qmGX9/iUQSMb3JtkxuuMCn73+Fc2eKoPojdY2iKOh1BsxeMAMJiS37luwIVK5aGSTARa/Xw2x2VRBImI5KpWpTSMnONYiUDAHg8kI2KioKKSkpEUXwEonEq/DPM83QZrMBgNsCjOvrMBQET9qbDocDqampHdZmjRTs378fixcvxv/+9z8UFRXhm2++wbZt26BUKjFr1iyMGjXK6/X4pyd5i8XCXGyeFqoXL16ERCJBerp/HtXtAVtgR24Q5Kv3l+BtNhsqKipgt9uRlpbGmUVte8Ae20tMTERsbGzYb3xkLFKr1TI9Ss9M9nDMxBOTG5FIFLJFh8lowstL34BS5U7UZpMF3XoX4Obpk93+TrQKDocjJFUFAEw0KHF6oyiqhViMfT7YbYOOyDWgaRonDp7E3p0/wma1os+g3hj7j5GMrwAB0QVEUvWMjI/5InhvYOsqTCYTaJpmZvJVKlW7rXaJayjpl3PhIEnEhHa7HSkpKR22MYsk7Ny5EytWrMDevXuZv126dAkvv/wyjh8/jjlz5uD2229v8bzwb238RDAXnU6nY5zDcnJyWqwmuch39wfkAiUraCKw4/F4fpONyWRCRUUF+Hw+srOzI8J6ld1XDlegi6ahCT/s2I/q8hp0v6Irho4ZAp1eC61Wi7i4OMTHxzO++iSTnZSRCckQsjUaTLCYLYiJi+Z8EUBMbkI92200mLzaP0tlEtTXNrj9rT2e74HAMxqUzICTPHB2LrtcLkdtbS0MBkOHXVNbP9mBvd/8CIVCDh6fh91b9+LU0dOY99xsiMSuFkNjYyPq6urCGj3siWAIHmg5yULOh1arZWby/XFB9AbPWF0urinS3rLb7UhOTv7LEXxJSQnKyspgNBoZPZHNZmMM01avXo0XX3wRr7zyCgC0IPpOQ/KBgIh1iLGIr/5we/Pd/YHJZGLcnXJycnDp0iVoNBo4nU6o1Wq/ylharRbV1dUdblHbGthje62FpwQLmqYZnwBfuFRUilUv/Rc0RUMileBSUQm+3/YDbr3/RuTmXTbFICNIiYmJbmVkIlLigY+dX+5GdUWNa2RJLsMtd92Anld04+SzsE1uQu1AGB0bDZFY1EJxa9AbMXBIX+a/iTqZOKF565e3pdoNBux0PHYuO/t8AC7bY4lEEpJjYMOoN+LAnkNQqS9XxZRqBeqr6nHsl19x5YiBjPAvUuKQAdd9paysDDKZDBkZGUFfU57Jkq3N5BOdi6/PH2qCT0pKQlpaWrtfs7Ph8OHDWL58OcRiMXr16gXAtVCjKIrRcs2fPx98Ph+vvfYasrKyMHToUOa3E3624BhkLImYnbS26ubz+ZyN5XlDc3MzKisrmR8ij8dDcnIydDodM+Pa2vgRW1lMBIKRYL1KdhBCoRDZ2dmc9vMsFiu++HgLzpz8HU2aZjicTowYcxUmTh6PhKR4t8d++t8vIBKLXDarFAWegAddsx5nj5zHgIH9vb6+RCKBRCJBXFwc08dfteI9VJRWQiKVgM/nw2y2YO0bH2L+848gKSV45a4/JjdcQyQSYsyEEdi5+Tuo1CoIBHwYDSbIFTIMGTEIgG9vfAAoKSrFG0veRlVZNcADsnpkY+b8/0N2rm/b3GDBzmWPjo5mql1SqRQ6nQ5arZYTf4TWUF1RC7vNDonU/RoWS8U4c/x35HbPQmNjIxISEhAfH+/jVToWxHynvQTvCc+ZfOKCyJ7JF4lEbla7bOdQrgmeLBpsNhsSEhL+kgQPuIJyBAIBNmzYgBMnTuDDDz/EHXfcwWxSCdHPmTMHxcXFWLFiBfr27cu0pjtNTx4AE+LgC2QekwiI2po7rqyshMViQV5eHpeHyaiCiVUuEYiwFfQURTE7GKJ+JX1KQvg1NTXQ6XQRpyyurq4OWdn5rRX/RemlCpReKodBb4SAz4eTptCtZxfcff/t6NO/JwBXWXr+jKehVMrBF/CZ3qJcLodMJsXi/zzp1/s1NTZj+cKVkMulsDtcI2d2hwMWswXd+xTgpjsmtxgH02p1+OXAEVRX16GgIA/9B/aBzKN/62ly09FahcKzF7D3259gMpqQ3y0Xo68dAYVSDr1ezyw8Pc9fbWUdnrxrIQxaA4RiIWiaBuVwIjo9Hi+887RX0R4XYOsCMjMzIZVK3axdiT9Ce8rIvlBXXY+Xn3oNMg8nQaPeiEEj+qHv0D4RJfwjBB8q8x1fYM/k6/V6OBwOt4jj5uZmt/PXXhCCt1qtiI+PR2ZmZkTc/8KJyspKrF+/Htu2bcO1116LRx99lImXJtMTp0+fxowZM3DjjTfi0UcfdfFKuA+cK5DyFY/HQ25url/l41CU68kokk6nQ1JSEmJiYtwiYtm+4+wyGTF80ev1aGpqYl6P9M7CfYF7VhVCoSyura5DSXE5rBYLjHojJBLX7oqy2WA0mLDhw6/QvXcBjhw4gU0fb8WFcxfB5/EhkYmRnpUKlVoF0IBE6v8uwqA3gqYogMeDSCSCSCSCDDSkEgksJitMJhOam5uZMrNeb8Tnn26DWCyCXCHD3h9+wi8/H8XMh+6G4o+UskBNbjzR2KDBzz8ehtFowoDBfdElPyfg77qgRxcU9Oji9jfiGKdSqZCamtqCIDa/v4UheMC1s+MLBdDVaPDdjj2Yds/NAR2DP/ClC/Bl7crOOWD7IwRbTUpMSUB6VioqS6sYy2CnwwknRSG/T17ETLAA4SN4AG4LrKSkJLc2S21tLQBXCVmv14Om6XbN5JNpKKvViri4uJATvM1mw+rVq7Ft2zbU1tYiISEB48aNw6xZs6BSuUy89u3bhwceeKDFc3v27IlNmzaF7NjYSEtLw/z585GVlYW3334bJpMJS5cuhVQqhUAgAEVR6NWrFyZNmoSDBw+irq4OiYmJnYvkiVLaE01NTYyoKRDVMtckTyoJNpsNGRkZzCqLvJcvsFfEUVFRTK9bKBRCo9GgqamJKemzdzA0TaOyvBoOpwPpGakh69V3lN97U2MznA4n6usaGaKhKAp6rQG/nyqERCbB7Hvmw2qwID4xFlHRKmgam+HQ21FXVY+o6CgYtAb8647r/X7PpJQECEVCj94vD1aLDVePuBK5ublu8/ifffI17HY7+HzAYuFBqVbAbLJgzw8/4Z+Tr3ETI2ZkZAQ8AXH08K/47OOvIRIJIRQIcPTwr+h9RQ/c+e9b2/WdE+FYa45xFSWV4Anc/+76zQEVZVVBv7cvkJlnHo/X6piVtzIyOR91dXWora2FWCxmfh+BqsPvf/zf+HjVpyg+XwKKpiCSiDD5juvQpaBLxKSZhdo+NxCQNotIJIJerwePx2MErhqNBg0NDRAKhW4z+f4eL5lCslgsiI2NRVZWVsg3OI888giqq6vx6quvokuXLigvL8fSpUvxyCOPYO3atQCA6upq9OzZE59//rnbczty80UqwbfddhtiY2OxZMkSiEQiLFy40G0kddKkSRg9ejRjEtSpSN4TnsEugYqaSNmcC5Aseh6Px/Sp2zK4MZnM+OWnIyi7VI4uXfPQvVc+Ghsb3Ixb2MpwIoRRKBQw6E345IOvYNC7rEVlcinuvHcquvdsPVs8UDidTlRUVMBsNofc7z0xJREikRAikcjlziZwEb/VakNUtAoCoRB1FbUwGkyQSESw6CygLU5QNI2GygYkJCXg2hvGot+QK/x+T7FEjOumjMPXn26HSCyCRCqByWhCQnICBg3tDx6Px/Txo6OjIeALoYhWwGa1MeVkoVCIUydPY9SYq1BbWxu0GNFqtWHT59sRHa1mrhmpTIrfTp7FhcJi5HcNvK3E1gW05RiXmp2K30+dBwQtXyOvICfg924N7ACVQE2K2IltbHV4c3MzGhsbA7Y9litkuP/xf8NitqCsrBxOyhEx2QYAK+o3TPa53kDI2GazuV3rnqZIpApGIoxbq7qwCT4mJoZxBg015s+fD4VCwbRkunbtinvuuQdz5syBXq+HSqVCdXV12EXPZBqMx+NhwoQJqKmpwenTp1FbW+tW7ejTp4/b8zotybPnzlNSUoIqaXO1k2dn0RMhTFsJco0NGrzywtswm8yQSiU4cugEhEIBZs69B9n52cwPmRBMfHw8s4PRNmvx1qtrweMBErEEIrEIPB4Pa1evxzPL57eYkQ4WNpsN5eXlzLxrqINvYuOi0bt/TxgMRjTUN4KiKdisNteuViSEVCoBZafgpCgUny2BQOCKWqVpGg6HE7TNifHXjwn4OrCYrTDpTairaQBN07hq1GDMWTQTYknLkUuRSMjsKmmahs1qg8lshpNy7eABQK1Ww+l0Mou8tmC1WFFUWIzK8iqYTWYoFO7fs0wmw+GDJwImebahTGvhNwQ33HU9jv7vGJqbtRAJhaDhKl3HZSZg/HWjAnrv1sCOZfUU/gUKT3U42/SFjEu2ZXsMuHZJ9Q31cFKOsI2DegPRUEQiwZNwL/Zill2VTEpK8pouScTGhPCJpTfZTERFRSEnJ/AWVbDIyHAPeLp48SI++OADxlMDAEPy4Qb7O7n11lsxbdq0Nn8/nYrkSbmeeBc7HA5kZ2cHbQpDyLi1MZ3amjp88elWVFXVQC6XY9L149FvQG8Al3dJdXV1PgV2vvDJh1+Coiioo1QwmUwQigSgnDQOHziO7j28j26RHUx9bSMEfAGUKgXsNjssFovrBmey4Ptv9+DaSePa7VNN7GD5fH5IZ6g9Me3fNyEzOw1ffbIN53+/AIHI9TklEgny8nNQVVYFbaMOcAKSP3YEPB4PIpEQVqsNh/93FMPGX+33+x3YexBfrt8CmVyKrLwM0DSNi+eK8b/vDuCa68e4PZbP56N3nx44eeI01H/stiVSCZqamjFk6ACIRCIoFAoYjUbodDq3DHBfQrFTv57Bh2s/g9lsgdlsRsmlcvTt1wvxCZcJ2elwQKEIrCpAURSqqqqg1+uRkpICi9mGbZu/gVAkwuAr+yMuvmWfOTkjGYveXIA1L/wXZcUVAA/oPqgHZi2egahobkgvlFnwhNDlcjkSExPd2iw1NTUAvHu5sy19g2mxhAp6vR4VFRVQKpVIT08Puy4HcF1XvgjeG3zN5Dc3N+Po0aNYvHgxMjMz0b9/f/Tp0wf9+vVDXl5eWD7r3XffjV9//RVmsxlyuRwrVqxgFlXV1dVISUnBkiVLcOTIESiVSowePRr33XdfSFwr/YG/AsdORfKA68InXuR5eXntIh9yAoky0RP1dY144dnXIBKJIJGIYTAY8N/VH+G2O/6FocMHM6N6RD3tTWDnC2WllZBKJYxyWCaTQSKRoOj8pTaP22yyAHD9gMRisWsna3fAYXeirrYBJSUlbkr9QEePiHGLP3P5pSUV2L/vAGw2B4YOG4Ru3fPB4/FgMprx1fotOHXkNAQCAUZeOwwTpoxtcyfC5/MxctxQjBw3FM0aLebPfgZyhRwSiRgmkwnqODXqK+oByvVd0zQFiqaRlJIIPp+Hmoo6vz8nAOza9D2kssv9LB6PB5lCht3b97UgeQC4duIYmM0WnDt3ATRNw+lwoFv3PPTp050hLc/5b9Jm8RSKmUxmvP/uJ5DJ5ZDJZQCiUVtTj99O/Y5hI4ZA9IdWwGa3Y+iIK/3+TOwWS3p6Ovbv+QXffbsPQqHr2L7Z8QNuvm0yhg1v+Zo5XbPx4ofLAvoO/QW5rjpqVyoWixEXF4e4uDgmvthgMLj1jRUKBSwWC0NakZBOCFwm+EgJwAECJ3hPeFZdlEolhgwZgqNHj6KkpASbNm1CTEwMRowYgVGjRmHcuHEdSqArV65EXV0dTp06BbPZjGHDhjH/Vl1djW+//RYLFizA/fffj6KiIixbtgxnzpzB22+/3WHHGAw6DcmTXXN1dTWUSmVADk++4C3fnY2tX++CQCBgVN4CgQDRMVHYumkXklPjYLPZmAQxfwR2bPB4rh8yTdGM65orIrLtz5TbJRuiP8idWOKKxCKIxWJcN2k84hJi3JT6RBlLCMbXMdI0DY1Gg7q6Or+MW77dtRc7tn8PhVwGPp+PUyfPYsDAPrh92o147rGXUFtVxyjdP3//a1w8V4yHn2qpUPWF6NgoDBs9BLu2fA+xWPxH/jkP/Yf1Q9nZUljMVgiFAsTGx0AilcBqsaFn/+5+vz7gWjB5fkYejwerxfu4plAoxM23Xg+jwYSKikpYrGbEx8e5fVfs+W/SZiGET4RiEokEhb8Xw2KxMqp8AOjeswAnj59GyaVSxMfHQSwR49ZpNyAh0b8ZbaJMttlsyMzMhEFvxPff7kNMjHs05Vcbt6Ff/94tWgP+oKK0EtWVtUhOTUJGtn+zy+HIgmdDIBC4ue6ZTCZmFp/8jjQaDex2u5sLYjgQaQl3wGWCJ4LS9ppf8Xg8pKSkYP78+dBoNCguLkZhYSH279+PLVu2YMuWLZg5cybmzp3LzQfwAzExMYiJiUHXrl2xc+dO3Hzzzfjyyy8hkUjw7rvvIiYmhunbp6enQ61W4/bbb8fvv/+O7t0Du+90JDoNyQNgZia58o1m7+S9oaKsqsX8s9NJoaGxETqdHt27d4NEIoHT6QwoItZkMiEjOw2/nTiDhMQEZrGi1+kx8fpr2ny+OkqFayeNxo4t3182cDGZMfDKvsjISmP6YklJSW7RrDqdzqelK7t/60+kp15vwLe79iI2Npp5XJxEjOPHTiFarkJtVZ2b97dMLsVvx86irrreZ/b55e/HjP0/HMAXn2yBVquD3WaDscYMhVKOe/7vdky8YTzW/udDnDx4yvUePBdZ53XLQbc+gQkPE5LiUVFa6Zar7nQ6ERfvey6apmkYTQZQtANJSYltXo8ikYi5gbDjWTUaDcxmEzQaoKqiBnq9ETweD2KxGGOvGYGrh1+J9IxUZpHZFtjpdllZWZBKpdi/9xcmR56Ax+PBYXfg/O8X0H9gHx+v1hI2qw3/efYtXCy8BKvZColUgtyCbMxbOquFfoGNcGbBewMRU1osropYamoqsxAjrnvE5U2pVLYZpsMlCMFHUsIdIXiz2cyZNoemaWbMNCYmBlOnTmWqYOfPn8fhw4cxcuRIDo4+OIwYMQKPPPIIDh48iJEjR3r1UiHEXlpaGnaSZy9UVSqVm/ak05A8j8dDeno6pyNvbZF8bHwMSksqmJuszWaD0WCEWCRC9+7dIBaLAyZ4sqOZeP1YCHgCXCi8BIfDAaFQiL4DemPctf5d2NdMHIPuPbti/w8HYLPbMHTElSjo1sXtONijR+weJdtCVC6Xu9T6BgPMZrPfgSDFF0thd9hbfG6xWIQDew96rQCYzRZUlFS2SvJ1tQ1Ytvg/KC+rRE113R/hGSJc0b8XaIrGpdIySKQSzFxwH/bv+gn7d/0EiqJw1ejBGD8lcNHdtP+7GS8uXAmrxQptsw4N9RrQFI1BI/qjrqYeicnux9pekxt2yfLaSdfgp/1HcPFCCSxmi4uMKRo6qwXHjp3CzbdN9pvg2eNobBdCsVgEmvJSqeLx3BY2/mDjh1/j/NkLkCtkDKkXnSvGJ+99gbsfnNbi8TRNo7GxEfX19RHl+c62X83OzmZ6m/Hx8W5php4ub8G0vgJBJEbYsgVxXBI80YvI5XJ06dKF2ejweDx069YN3bpxYyndFmpqavD0009j+fLlbn4IZWVlAMBsgs6cOYP8/Hy39sGZM2cAANnZ2R1yrAC8innJ36qrqzFr1izMmjXLbYHUaUge4H4msS2Sn/KviXjxudchFAhht9tgNBlhtdgw+caJfo3IscEeZSIivQfn5qGxQYPGhiYkJMW7lVT9QUZWGqb/+xa/H8/uUZKdi06nQ319PQDXjtPhcMBqtbbqUQ0A8j9K9ABAAyCPdDicyMxMdfXNPeQSEokYcYmtO4ete2cDHE4HtFodBAI+eHw+aBooK6lEftdcFF8ohc1qg1gixuhJIzB60givr0NRFKxWG6TS1ndhGTnpWLTiCSyZuwwNDRrIlXIkpiegqVmLZxeuwAuvLoY6SsW8Jtl9cJGOFhsbjaEjrsRvJ393kTFNw0lTSMtIgaapCTu2f4tBg/sxBONLGU5Ekt7G0QYO6ottm791E5dSFAWpVIKu3bp4fT1fOPrLiRbOcDK5FMcPn2pB8uzrPZI83z2rHZ6aHqFQiOjoaERHRzMub56tr7bElMGAEHwkRdh6ChK5IniSWimTyZCfnx/W1khsbCzq6+tx3333YdGiRcjPz0dxcTEWL16M7Oxs9O/fH2azGXPnzkVmZiaeeOIJpKWl4bfffsOSJUswduzYDlmQ6PV6xpsAuEzsZIqrvLwc9913H5qamqDT6dx+73+TPHyTfEZmGh6a82+s++8naGzUQK1W4fop12HchJFtjsixwVY6e+7+4uJjWy0NhwoikQgymQwNDQ0QCASIi4uD2Wxmdl5tRU/m5mXB6XDi5wNHYbPbIRQKkJaWgrjYaEy/72Y8e6YYVrMVQpEANpsdNqsNufnZyMzN8HFELpSXVfwxEueyMSU3UZ1O/8cj6FarOTRNY9Mn2/Ddjr1w2B2QyqW49c4pGDF2qM/nKJRyCGVCdO/v/mM16I3Y/c0+3HjrP9ttcuMLBV3z0K1HF9isroTCxOQEyOQy6HR6mM2uv5HRI2957EStTsY3PUknKlqNO+66GZ9+vMllC83jQSqT4v9m3uF3lYCAJCe2+LvT6fbfkZoFT8yqaJr2K3OB7fJGxJSk9cUWU7LL+sGAVPcimeC5ECSS60Kr1UImk6GgoCDsYVtisRjr16/HqlWrMG/ePNTV1SE+Ph5DhgzB3LlzGe3BZ599htdffx3/93//B41Gg7i4OFx77bUdphl46qmnUFdXh0mTJmHy5MmMhwOPx0NNTQ3uu+8+OJ1OrF279s8zJ88F2iJ5h8MBiUyEe+6/FampqYzFJvu5bcFut6OiooLx0yc2iaHEj/sPYuumXTCbLEhOScCd905FZpb7jCeZvyUxleTHRlEUfj9zHl9v3gmTyYyBQ65AXpdsqNVqZm6Ux+OhsrIaJqsFNFwjiHa7HRcvXsLwkVORkBiPhS/Pw8pnV+HU8dNwOp2QKmVoshtQVFiMAh/z3jRNw26zw0m5euL1tY0QCMAsqOw2O5JTk1rkfLOxeeMOfL1xO6RSKfh8PqxmK959/SMoVUr0H+zdJOf44VMoPl8C2klDrpQjJTMZYqkYMrkUF85farH74zJxLy09BTKFDClpyW5/dzop9O3bG5mZmW7K8Lq6Ohw5fBwikRh5XbJhtVogl8tbDSoZMLgvevbuhgtFlyAQCpDXJQdisf/mMwQF3fNw4shvkMouk5nVYkXvfj2Z/+7oLHh/YbPZGLOq1tz1fIEtpvQMbyFjtMFkshOCjxS9AnC5YsU1wdfW1qK5uRlSqTTsO3g25HI55s2bh3nz5vl8TFxcHJ599tkOPKrLsNvt+P777zF8+HC8++67+P7773Hvvfdi1KhR0Gq1mDNnDvh8PlatWuVVOxAZ33KYwC5fesJisbit+qVSacD9d4vFgvLycgBw6/2FEju2fo+NH38NhcqVEFVWWolnnnoZy15ZhOQ/EtWIEEqpVLYYZdry1S5s+WonhEIheHweCs8VY+DgK/CPG8ajubmZ2d18/vlWJCTGIT0jFSajCRRFQ66Q4XxhMSiKQnxSHGxiJ7oMyGfMepxOJ1a+8g5WrHwaSqX7jYPcWLp0zcbvpy8gIzMNJqMJRqMZlMOJhKR48AV8/N+Dd/r87DRN47tte9w8AlxCNhG++HiLV5I/cfgU1ry6DhaDFXwhH02NzdA161HQp4srUSs3AyUlJQw5cO0XkJqWjIKuXVBUeBFqtWsBqNcbkZKSiB5/uBcSZXhpSSXeWfURDHoD7HaXSdBt029Abl4W40mvUCi8lpClMil69WmfOOjOGbehtLgcDXUaCIR8OJ0UYuOicc9DrlI9u50RSYYyRK/A5/ORmZkZkLueL7DFlCRMhxjwaDQaCAQCpqzv65xEIsETQZzRaER6ejpnBF9XV4empiZIJBIUFBRwcg7+KrDZbODz+Vi4cCEKCwvx1Vdf4YUXXsD58+dRVlYGrVaLt99+22fQWqci+Y4q1+t0OiaKMzMzE3w+P2CCZ++U09PTO+Sidjqd2L75WyjVCuY4RWIRnBSFzz/ZjFmP/h/q6uqg0Wi8CqGaNM2u56sul6IlEgl+PX4GN9z8T6SnpzP9ydLSctcMt80GsVgMmVjs2m3bTbBYrCi+WAqtVu+mMxAIBLDb7Tj0y3GMHT+c+Ts7kOK+B+/E++98ivPnLiAlLQVWixUxMVG4ZfoUDLl6IDOSt/+7n7Dp420wmy1ITk3EfXPuRGpmCmw2e4sdrUAgYOx/PfH+2xsgEgqhVCtg0BvBF7jOdfmFCmQVZCC/ezYEAkHA1quBYMZDd+HbXXtx6OAxUBSNq4cNwvWTJ7h9DoPBiLffeA9SqQRKpRwWCx9CoRCbv/oWi595FFarlZme8MfhLRhERaux/K2lOHTgGC6cK0ZeQQ6uHDYAYonYTYEdSYYybPvcQHItAoG3MB32RAvgsqJmu7w1NTWhpqYmogmeq3NYX18PjUYDsVj8N8EHAZK+Ghsbi2uuuQZXX301Nm7ciFWrVsFoNOKNN95AXl6eT4fNTkXyXIPMmBOSJ2rgmpoaZkYV8M/BjoA9a+4r7StUMOiNsNvtLVLYpFIJKsoqUVlZCb1e77NPeua387BabX8Ys7jjyKETuOnWfzLlyh49uuH33wtd42RGI4xGIwQCAXg8PgQCPgwGI+DFf0AgEKCpqZn5b5JCxvZ7f+yph1BXU4/6+kakpCYhNs7dnW3bxp34+L9fQMDng8fn4fyZC1g46zm8vOZZKNUKGHUm8PiXz5XdbkdOass8dLvNDr1WDz6fj/jEOIhEQuh0rv8GTeOO/7sZcfGxIYnUZUMoFGLSP8dj0j/H+3zM4YPHYbPbwefzYLVaIZFKIZVI0NSkRXVlHQZd2c/NQpQ4vEmlUobwuRgFE4lFGDZ6CIaNHsL8zdPmNNT2x/6CLUgMFcF7wttECynrE22FUCiEw+GASqXibBy4vSAEr9frOSf4xsZGiMVidO3aNWzucJ0ZVquV2Wg6nU4olUrce++9yMjIwJo1a7Bjxw4MHDjQp/Yl/EbIYQbxryelxpqaGsTHxyM9PZ2xvA2E4Kurq1FXV4e4uLgO95pWKOWMqQ4bVrMVErnLXS89Pd3nxSBXSMHnexFWUVSL8vq//jXpjz6lDDExMZBKpWhu1mHIkH4oLi6GROryo3Y6nWAfjdPpxMBBrrK52WxmSuHZ2dluve7E5AT07N2tBcE7nU5s/mznH8r7P9SjQgGsZis+XrMR0++9BTabFQ6HAwBgs7nG/O64f2qLzyUQCi4n0AGIjolCZlY6UtKSkJmbjoysdE5Ml7iA0WSG1WKF1WqFTCaDlNU2MJsvOyCS5K6CggKkpqZCJBKhsbERly5dwsWLF1FbWwuj0ejTACpQOBwOJnkxkgieRE+LxWJkZWWFrf9LzklmZiYKCgoQFRXFZLHr9XpcuHCBEeVyHXvtLzwJnivdEImmFolEKCgo+Jvgg4TJZIJAIIBIJGK8BADgmmuuwaJFi3Ds2DEsWbIETg8BLEGnIvlQrHjJCqmkpARarRZpaWmIj49nfnBkt98WnE4n0x9JSUkJy0ywUCjEuGtHwai/fBO32+zQGfSYcN0oZGVltfoD7tWnBxRKhdvFQlEUxGIRhg4f7PbYxMR4zJ8/G+npKaAoCrGxMXjssZm4+ebJSEtLQ2JiPPoP6o2qqhpoGhqh1+vR0KBBv/69kZWd8UfJvxRisdgvpTOBrlkPu63lfL5ILEJ5SSUGXd0fC5Y9hqzcDCiUcvTs0xXLXluEjKyWzmx8Ph8jxw+F3e5g/ma322E1WzB56sSICQShKAppaYlwOByQy+XMd0XTNEQiIfpc0aPFc0gfPz09Hfn5+YyASqfToaysDEVFRYxALlhyIWr1UAgS2wOj0YiysjKfEwfhglarhVarRWxsLAoKCpCVlYWoqCiYzWZUVFSgsLAQ5eXlaGpqgt1u75BjYs+sc0nwZEqHEHxHZV/8mUDu4SaTqYXOiKBfv3549tln8eOPP+LNN990ex4Bj+ZqSd8BID1gLnH+/Hk4nU7weDxkZmYGJbCzWq2oqKiA0+lEenp6WHczNE1j17bd+GbHDzAZTZDIJLjx1n9gxMir/eqFXbpYildfWg2D3gAarnn4GbPuQZ++LYnEn2M5cfwUdv1xLAOvvAI9erp+8Gaz2avwry047A7cf/NsWC22Fn/v1a8HFr/yREDHSFEUPlj1CQ7sPQiL2QIen4frb52Im6dPiYgyKjt+8+DPv+J/+36GSCRixgxvuHES/jllgt+v59kztlqtjAsiUYb7s+tlm+9kZmZyuktzOp34+ccj2P3NPiiUCtx4yz/Qxc+o20jKXWejsbGRqfB5c5MkWQcGgwEmkwkAvI5Mcgn2JASXQkki7BUKhejatWuHCI7/jCCz7gcOHMDcuXOxb98+n0LIt956C++99x7Wrl2LAQMGuP3bX5rkyW6Sz+cjLy8PAoEgoP474No1VFRUMEYkXJekGhubUF5eifj4WKSnp/r9PKLcJWEg7N2MyWRG8YVSqNRKZGa19MamKAqXistAOZ3IyeOm1EliQGtraxk70WCNRT565zPs+OIbCIQCRlPB5/Px3BuLkFuQHfCxURSFkpJS1NfVo0t+XpuRrB0F4sxmt9uZQJCSknLs++EnCAQCjBozFBmZ/nnH+wI7qY2QC7F0JeTiCSJmEwgEnKnVCSiKwtL5L+H0ybMQiUWgKCdoCrjj37dgys2TWn1uJMayAm0TvCccDgej1jcajaAoigmcUiqVkMvl7f5sbOdGLgmeCAqFQiEKCgoiprrTGUFI/sSJE/j444+xfPnyFvxC7n0ajQZ33XUX5HI5Nm7c6GaG85ckeSKOq66uhkAggFwuR1paWsAET4iU7Bq4LAvSNI01az7Czz8fhc1mh0DAR05OJhYsmN1qqAjbacybcnfzlzux8ZPNMJstEAoFSElNwjMvzEdsXHS7jtdqseKXA0eh1+kx8Mp+SElNcvt3iqIYp6vExEQolUpGqU9InxB+W7tJiqLw5Udb8P32vbBZbIiJi8a9s+9A7wE9fT7HF9g7ZS4FR+0FESTSNI3MzMwOKXeyLV0NBsMflsLus99EzMZFFrw3HDl4HMuffs1tFt91i+Jh7YbXfV77kRjqAoCxxvWX4D1BwnTIQsxutzOLY6LWD/QchIrgyf1QIBCgoKAgYvQZnR1msxnNzc1MlLknCKFv3LgRK1aswEsvvYSxY8deDjDrTCQPXB4nCBakRNXU1IS4uDhYLBbY7XYkJCT4nGf19hpkFC1UIzC7d/8P7733idsImtFoQp8+PfDYYzO9PseTSD191c+dLcKCec+5Wb1arTZkZqVj5dvPB32s584W4ZmFL8OgN4CiaEhlElxz3Wg88PDdANyjT1NTU1vcVOx2O0P47N0kIfzWqiPsFWugYJvccJGsxRXYO+VQVIf8AZn9Jmp90sJyaTTEnO/gCV5Z9hYO/ny0hVmPyWjB0uVPoN+A3i2eE+6EO18gBB8fH4+EhNZDmfwBO8KYZE0A7pWXtuyo2QSfmprKOKe1F8SWVyAQID8/P2Iie/9KuHDhAvbv349rr72WmQwDOuEIHY/HC1oZTOaxTSYTQzbEu72ystKvSFa24UdSUhJiYmJCclP55ps9iIpyF8GIRCJ8u3MvbCYrrhwyAMNHDWFutGzbVV+r8y8+2wKhQOB2vBKJGBXlVairbUBikn9xpmxQFIUXnlkJh90BOWuXtXPbblw9fDC69chniNSX+lokEiE2NhaxsbHMblKv1zNOYhKJhDkvbAEKELwYkxgVhcrkJliYTCaUl5dDJBJ12NiXN7Bnv5OTkxkhFY/Hg81mw8WLF72mGbYXMbHRcDqcgAfJi0TCFhMewOXycCRZwgKu0bGGhgbOt3nNrgAAeExJREFUCB5oGWHM/q2ww3TYZX3298G2leWS4HU6HaqqqsDn8/8m+DCiS5cu6NKlZR5FpyP5YGG1Wt2UwFKpFBRFQaVSQa1WM77Uer2eMRVhEz4xcikvL4fdbg+5Ra3N5nD7gep1Bpz59XfYbQ4cOnAMP/94GF9+vg2vvvEs+AJ+i1lzb9BpDRB4yat3lQTNfh1XaUkFKsorkZ6RhqzsdFy8UAKDzgCRx02Zz+fj6y934LY7pwREpJ4BIeQm1tTUhMbGRqY32Z5EMDaRhtLkJlCQnrJMJgv5bH4gIAthUgpnz+Ozo1n9qby0hX9MuQbf7tzjVqGx2x2IjY9uIb4jAq+YmJiImjcno2MJCQmIjw984ewvPH8rpPKi0+mg0WjcvPcVCgXq6+uZsi9XBE+u2b8JPjLgrbL5lyB5g8GAsrIyiEQi5ObmehXYsX2piRiJrFAB102MKJHJIiGUGDSor9tuvvDsBVAUBZlcCrHUdRMtK6nAJ+u/xLBRgyEQCNocRRt7zXCsfvMDKBSXFwEU5eq7bvpyO44fOwUBn49RY4Zh+l03uZGf1WrDkoUv4fy5IpjNFshkUnTtlo877rwZ3uoqFOWETqdjBImB7PTq6xtx4sRvUKtU6D+gN9RqtVtvkpC+QCBgFmIKhcIvMRI5p+Em0vLSShzYdwjqKBVGjR8Ku8OOqqqqoCYOQglvO2WJRAKJRIK4uDivlRexWMwQvmflpS0kpSRi7uMz8M6b78NsMoPH4yMhMQ5Llz3h9jpk5xpJEbZsPUxiYmKHCji9ue6R80Jc9wAwi2MuQAiex+OhS5cuIdez2Gw2rF69Gtu2bUNtbS0SEhIwbtw4zJo1i9lwURSFDRs24JNPPkFVVRWys7Mxe/ZsjB07NqTHFinw9jvodD15u90e0FxvY2MjqquroVQqkZ7uCmkJRGBnt9tRX18PrVbL/I3YhrYW/9lemM0WLF78IiorayEU8nHyyGkIBHxkZaYzWd4OhwMymQQvvLIQSUlJOPPbeegNRlxxRQ/ExEZ7+SwOzH/0WVwougSxWMQkvYHPg9lshkwm++MGYcUV/Xpi+cuLmOeuenMddu7Y7XaDMJlMuHbiWBz66agrD/0PYnLd+I14dP4MjJ8wJiDCWvfep9i+7TtYLFbw+DxEqVV4ftkC5OZlMY9hj4Hp9XrYbDavlRdPEMLqaCdCNmiaxusvvoMfdv0PBoPRtdtSKXDPQ1Mx+OoBbZacHQ4H1r79MfZ996OrKpWbiXmLHkKyh9CRCwRKpGwPd4PBAKfTCYFAwJwTfxdigOtavXSxFDKZFOmZl/vs7J1yJEXYhpPgWwO7By+RSGCz2RhBJTkv/obpsEFGFQEgLy+Ps8pAa3jooYdQXV2Np59+Gl26dEF5eTmWLl0KpVKJtWvXAgBeeeUVbN68GStXrkT37t2xfft2PPfcc3jnnXcwfPjwNt4hMtEe3RHwJyZ5cnETn/akpKSADW6IzW19fT3UajUSEhLcRluAy7aharWac4GUw+HAoUPHceTISWz7aheio6MgELhukna7HTarFWnpKZi/eC4WPLkM2mYd7A4nFHIZbr71n7jjrpZZ83a7Awf+dwg/7v8FUpkUp8+ex9FDJyAQChEXG43YWJfDnN3hwJurXkBWtisadtqtMxj3OPb3I5aIseCp2Xh+yX9g0BvhcLraDMNHDcH8xXMDItKzZwvx5BPPufVenU4n5DIp3v/wDZ/njN1qYSv12XPfhBjCXdo9eew05s9+FvQf16LTScHpdCA6Jgobd61rc9G4ZN4L+OV/R8Hju65jh8OJ2LhovLfxTSb3vr3gIguejEyS82K325mFWHtU4eS4Ql0KDwRsIW6kETw5ruTkZCZMhz1BQRZi7PPS1m/WaDQywVu5ubkdljRYXl4OhULh5tj57bffYs6cOThy5AgMBgPGjRuH5cuX4/rrr2ces2jRIpw/fx5ffPFFhxwnl3A4HMzvJFiy/1OW68lYlMFgYOIuAyV4iqIYkQr7RicWixETE8PEf7JFLxKJhNnhc2FeIRQKMXToYAwdOhh1lbU4c/o8BAIxbDYbnA4HnBSNW2+/EUsWvgSzyQL5H57zNE3j0w1fY9DgfujWPd/tNUUiIUaNHYp+g/rgwQefRHFRCWj6j89bWw+bzY7k5ESYTWYUXyxlSJ7ycoGRGfVefbpj7cevY9vXu1BXV4/RY4ej9xU9A/78W7Z804LkBAIBmpv1KL5Yirwu2V6fR8rH8fHxjFKf7RUuEAjgdDrDTvAAsPnznbDb7BAKXcdEZqAtJivOn72AXlf4Toqrq23AyWNnwBdcPn6hUIDGhiZ8vXE77rr/tnYfH4kEbWpqahdhkaAcuVzOeLgTwid9fJLF7k8fn31ckZRRzybSSD0uQvCAq6yvVquZFpjZbGbuY1qtljlv5Lx4/h6JngUAcnJyOjRKOCMjw+2/L168iA8++IBp1+3YsQMikQgTJribQ02ZMgXTpk1DeXl5i9eIVJBq85tvvona2lo89dRTUKvVPkNoWsOfjuSJE5fdbmdEaITg/f1y2Ep1XypUYhsaFRXlJhDTaDSMXzPJYA+0L+kN8xfPwcLHl+HixUuwWm1Qq1W47h/jkZGVhuZmndvIEVnIfP3VTixYNMfr623d8g10OgPUUSpoNVrwAAgFAjRrdUhIjINUKkEqK+O8e/d8HD3yq5sWwWKxYNDgfqAoChpNI/oO7NmuDHGHwwlvXxNN03BS3n2ZPcFW6hOhJNFSNDU1wWg0Bt0v5hKE4AUCgeu69OMwKsqqYDFbWjxWIODj7G/n231M7NIumxjaC3YfnyzEApmgIKrw5uZmTo+rvYjkhQdJfiMTQN7gbSFGzgtZIPN4PGzbtg3Z2dkYMmQITCYTaJpGbm5u2M7D3XffjV9//RVmsxlyuRwrVqwAn89HcXExkpOTWwh8s7Jcrb7ORPLk+u/fvz+eeOIJ1NfX4/XXX4dSqQx4R9/pSL61D0c8qwUCAXJzcyEUCgM2uLFarSgvLwdFUX4HbrBXxxRFwWQyQafTobm5mTNFuFQqwZzH70NZaQXEIil69uqGmNhonD1T6HWkkKSV+cJvv52DQiGHUiFHTWUtHHZXf56mKRj0RnTrno+CrpfziWfNuQ9zZy9GY30j+AIBKKcTcQlxmPHgXUxASXsjRidNGofDB4+77eooioJSpUBeXnZAr+V0OlFZWckcl1wuZ1otXJ6XQDH55utwYN/BP8qkQvD5PNAUDVW0Et165rf63PTMVEhkElgt7ufV6aTQvVfXdh1XR2bBe2axk9Ixe4KCbcBTU1MDnU7XrgUk12ATfKQtPEhLI9CFBwnTiY2NZSqVRUVF2LhxI2P9nZeXh7Fjx0KlUiE6Ojosi+SVK1eirq4Op06dgtlsxrBhwwC4TGO8XR/kbxqNhtPjCGZX7S/I9zpy5Ei89tprePTRR7F06VIsWbIkYP1DpyN5X9BoNKiqqoJCoWBWa4ESvMFgQGVlJYRCYUChKWywx1Z8KcIJsSgUCr+OjbiM8fl8DB12ldtKNb8gB3K5DHa7wy1Bzm53YOI/xvl8zS752ThfeBFKpRwFPbqgtLgcJqNLzXz1sEF48qnZbscWExuNd9/7D/bv+xnnzhahW498DLlqAOrqakHTNCcTB/369cKo0Vfjf/t/AUXToCkaUpkUTy18KCAVPNvkhj1SyFYfe54Xok72ty8ZDBwOB9SxClw1YiCOHjwFk9GVLqWOUmHB84+02aNOTIrHFf174eBPR5hqjdPhRFx8DG6c+o+gj4uiKFRUVMBkMoV8NNQTnuVjk8nE7Cabm5uZx8XExHTocbWGSK4ssMV/7akskErlwIED8fnnn2PLli04duwYzp07hzVr1mDNmjVIS0vDnDlzMHnyZA4/RdsgC8SuXbti586duPnmm/Hll18iNjbWbZKAQK/XAwDnlRbPe0R7BXK+cNVVV+HVV1/FrFmz8PjjjyM5ORkOhwMKhYL5H2mxyGQypKWloWvXrsz9pNMJ7xwOh1tKGvnBNTY2IiYmBsnJyaBpOmCCJ8prb17vXIAownU6HSNE8sd8h4x8SaVSpKeneyWCg78cwwvPvQaL1erKWOfxMHTYIDy1+BGfn7+xUYMZM58Ej8eD6I+4Vb3eiGFDB+PJJx9u8/OEcta8uLgUB346jKhoNUaPHgqVynt1oKysAufOXUByciJ69eoGPp/vFpySkZHR5mx+a4EtXBq9eLrrNdY34ae9BxEVrcbIcVe7GQm1BofDgXff+BD7dx+A00khOzcDjy16GClpwanr2Vnw6enpETPnTI7LbDZDJBIxqWwdMdnSGtgEH0mVBeCyAQ+X4j/ivkjMrCQSCX766Sfs2bMHP/74I6699lo888wznLxXMDAYDBgwYADeffdd1NXV4YUXXsChQ4fcNmhHjx7FtGnTsHv3bk7K9UeOHMGKFSswaNAgpKam4rrrrkN0dPQfldDQED0AfP3111iwYAHkcjm6desGi8UCk8kEm80Gq9XKZB6MHDkSL774IrMo7nQk73Q6maxwtsAuOTkZ0dHRTOk6EAU9Kbt1lDCL2FOSnSQhFk/C12g0qKur82vkq0nTjG927UFzsw6jxwxF125d2vwcpaXleP31taiorIZIKMTo0UNxzz1T21zghHvWnKIoLF78Mg4fPg6z2QKxWITU1GS89NJCGAz6di082AIxYhvaXmIhCw8AHeZD7w9IAI7D4YgoW1/PyoJSqXTr45PJFq6Frm2BrVmIVILncuqAbSCWkZGBxMRETl43GNTU1ODpp5/G8uXL3SonZ8+exQ033IB169ahZ8+eGD58OF566SVMnDiRecyzzz6LU6dO4csvv+TkWPR6Pfbu3Yv6+nqsW7cOWVlZSE1NxcKFC0Ne1XnllVfwzTffYO3atUhMTITdbofT6WR40W63QyKRuI28dlqSt9lsKC0thd1uZ25Q5KP4W2olfVuj0RhW4YznCBiPx4NAIIDD4YgIRTgbJFFLrVYjJSUlLLPmX365HW+99Z7brtNkMiMzMwXPPvs4ZwsPb8RCRib98QkHLrdaQpHY1h6wKwskYjkSwM45yMjI8FpZcDqdbvP47JS2UOkrQuX5zgXIdA/XBE8WgOnp6UhK4t6HIRDYbDbcdptremTRokXIz89HcXExFi9eDIvFgs2bN0Mmk+Gll17C9u3bsXLlSnTr1g27du3CM888g7feegujRo1q1zF426VrNBrs2LEDW7duRXV1NZYtW4YhQ4aEbCFvNBoxefJkjBo1CosWLWr7CeikJK/ValFWVgY+n4+srKygBHZsi9q0tLSISR8j2fTstL1wlygB94pHsIlaXOGuu2ajrq7BzXzHZrOBz+dj27b1zCghl2CPTJL4z7YMRUgMcagS24IFWSCHIgu+PWC3DohYsi146iuIwRPbCbG9Cz527nqkEjyXHvnk+nA4HEhNTfWZftbRMJlMWLVqFXbt2oW6ujrEx8djyJAhmDt3LrMIoSgK7777LjZu3IiGhgbk5ubi4Ycfxvjx4zk/HrvdDpFIBKfTicbGRixfvhx79uzB/Pnzcf3114es9bV//3489NBD+OSTT9CnT582H9/pSF6j0aCkpAQymcytv+JveR5wF7L507ftKHguPKRSKXPzIjtJrjzCAwFFUaiqqoJer4+IUaHp0x+CRtMMHs8lMLTb7RAKhRAIhPjqq7WtRvFygdac3Qix6PV6VFVVMTHEkWJTG8os+PaAhEfZbDZkZmYG1Trw1gYD3I2RAv28bIIP9dRBoCBVNa4Jnowgp6SkIDU1lZPX7YwgO3ciZjx//jwjtCwoKPD6nGXLluHTTz/F888/jylTpoTs2O677z7weDz897//bfOxnY7kTSYT6urqkJiYGJTATqvVorq6ulUhWzhAUtEAl+mDZ/mU7CR1Oh2MRiNommZ6ksRtLxQ7a890u0hQOK9b9yk+/PALiMVCOBwO5sadmZmGtWtf7dBj8eXsRtM0sxCNlKAZs9nMZDiEM+HOE2xtAJetA28RxlKplCH8tvr4NE2jsrISer0+Ygmey6qa3W5nWqDJyclucaV/NRBeOXDgAN5++22UlpaCpmnodDr06tULK1eudKtwsEv5zz//PL788kt8+OGHuOKKK0Iyanfo0CHcdddd2Lp1q88FB0GnI3mn0wmr1RqURS2xNg1nP9kbyOieWCxGenp6m7sNtvkO6Um2JxTEF2w2G8rLyyMub91kMuP++x/DxYulEIlE4PH4iIlR4623XkB6evh2HuyWBsleD4VSPxiQ1oFEIomohQfRBhBfilBV1by1W0QiEUP43mJZI5XgSfoe1wRfVlYGm82GpKQkJufjrwhC2AcPHsTMmTMxceJEjBkzBsOHD8fRo0ehVCq9lskJmTscDsydOxelpaVYv359SASaVqsVL774IiZPnoy+ffu2+thOR/K///47bDYblEoloqKi/ApXoCgK1dXV0Ol0SEhIQFxcXMQI2cjoXrDpY95Kx0KhkHHbCyZ8AnBvafjTt62ra8C27d/BarXh2mtHIzcnq9XHBwvStzWZTKipacShQyfw+7kiGI0mZGam4cGZdyM/Pzck790a2DaixAaZvZMkSv1wtFtIWliktQ7IzpH4LHRk+4n08Q0GQ4s+vlwuR01NDfR6fYf7BrSFUBC8w+FgDK0SEhKQkZERMffHcKG2thYzZ85Er1698PDDD3udLLDZbBCLxcyigL2bP3bsGFasWIGbbroJN910U0iNc9pCpyP5iooK1NfXMzv5tlS1nha1kbIiZ5MCVwp6byKkYMx3CCn429LYvv17vLzibSaTXioR46ab/4m5c+5v1+fxhOeseVOTFnfeNQtarQ4SicQV5iAQYsWKJbjqqoGcvndrYCuvfWkW2JGsnu2WUI6AabVaVFVVhTV5zxsiRfznzSeBIDo6GvHx8RGjWyAbAi7jdUmrxGq1Ij4+HpmZmX95ggdcs/VPPPEEnn/+eVx99dUAvDvc1dbW4oMPPsCTTz4JwL1sv2DBAlRVVeHDDz9s17GQimCw56XTkTzg+tBarRZNTU3Q6XSMOY4noe3YsQObNm3Cww8/jO7du0dMubkjhGzeesXszGlfsZ+BVhYMBiP++c874PjD9pLA6XTiww/eQJcuOe36HBRFoalZC7FIhJqaajeTmyeeeBb79v8CicTdBjchIQ6bv/6gXe8byPERO1h/ldfeRsBEIhFzboKtvnjCWxZ8JICMZ5EqUaSQKEVRTJVIIpEwhB/o2GQoECqCLy8vh8ViQVxcHLKysiLmGgkHLly4AKVSieTkZLz//vt47733sGfPHrfduic++ugjvPDCC9iwYQMGDBgA4PJioK6uDg8++CBeeukl5OXltXhuoCAC30ARGcqbAMHn8xlrQyKGaGpqQnNzM5qbm9HU1ISvv/4aX375JRQKBVJSUiKG4MkPiziMhaoU6Bk+YbVaGbc9kjalVCqhVqsZwicq0kAqC0eOnIBOr28xLmKz2bFt23d45JEHgv4MW7Z+g7dXvQ+jwQQn5cSwoYPx/HPzmb7tufMX3AgecF0bzc1aWCxWSKWhnZrwnOn2dwxTIBC4WbkSwtdqtdBoNG6LVblcHtTumwizIs1ngaj7hUJhRIn/iAEP+1x6S5oMxWKsLRCCj4mJ4YzgSdvLYrEgNjb2L0/wK1euRFFREWw2G2bOnImUlBQYDAbU1dUhPT3d53fTv39/AK4dPQFxvlMoFJDJZKiurg6a5Ovr6/Hjjz9i8ODBSE9PD4roI+MX1g7weDwmDY6I6xYvXoy9e/ciKSkJ8+bNg06nA0VRboQWDrDDb9ie6qEGj8eDVCqFVCplCJ/s8CsrK93MdwLNDxcKRV6/T5qm21WCPXz4BJYtex3ggemZ7t33M15d+S6eWjAbgGs0qrGxqcX7CwVCt1S+UICUOe12u99BRt7AzlhPTk52q740NzeDz+e7Cffa+oGz/cvD7WfgCaLujzTfALbDHtuAxzNpkrTC2Isx9jx+KO4rzc3NDMFztVhjE3xMTAyys7Mj5hoJB3Q6Hc6dO4fXX38dly5dwocffogJEybA6XTi8OHDrYoQSSVKq9W6/Z0IbidPnhzUdU4qB0eOHMFTTz2Fnj174vHHH8eQIUMCts6NjAYdR9DpdJg1axb27t2LgQMHYsOGDejbty8EAgF0Oh0qKipQVFSEiooKhvg7CkajESUlJeDz+cjJyQlrZYFEfubk5CAnJwcikYixCm5oaEBZWRk0Gg3jF94aBg3qC7Va5fZd0jQNqVSC66+f0MozW8fbq94HRbncDQV8PkQiESRiCb7fvZ85rnvvvR0Oh9Mthc9mtWH8+JEhXciRfjIJwAmW4D1Bqi9JSUnIy8tDbm4u4uLiYLfbUVVVhcLCQpSVlaGpqYk5X2wQdT8JKOFq18cFTCYTysrKIJFIInIH70nwniDCvJSUFOTn5yM7OxvR0dEwm82oqKhAYWEhysvL0dzc7PXcBIPm5mZUV1cjOjqaU4InFYuoqCjk5OREzDXS0SD3DbVajYKCAvz44484e/YsZDIZhg4dipycHHz22WcMgbPvM6RFXFJSApqmfbbpbrjhBgwZMiToY7x06RJSU1ORlZWFOXPm4Pvvvw/4fEXGL40j7Nu3DydOnMCNN96IZ555htlJZmRkwGg0QqPRQKvVMjslstoiSvRQEQP5sYYq/CZYEPIg88lisbhFnnRbanCpVIJlz8/HUwtfhE6nB0XRUKkUmDHjLmRkBDfO5hIlNoCiaQgEAoiEQpAQdYfDCZPJgqgoEcaNHY7qqhp89NEXsNpsEAoFGD9uBObNm9mer6VVsANwQqkI95bBTq7bmpoa1NTUuJ0bkUgUkix4LmA0GlFeXh62rANfID341ix0vYHH40Emk0EmkzE57OTcVFdXA7g8RaFUKoMaCyR+HtHR0UhOTuaEiNkLGrVajby8vL8swQOu81hSUgK5XI4RI0agpKQEtbW1mDx5MsRiMR566CEsWLAAjz32GN5++22380iu4ddeew1ZWVm45pprvL5HsNc62a0bDAb06NEDr7zyCh599FE888wzEAqFGD16tN87+k4pvPMFp9OJCxcuoKCgwOeHJwp00sMn4hqyi1Kr1ZzNM7Nn87n8sXIBtvmOt/lkp9Pp5rZH1OBkQeT5eJPJjIMHj8FisWDIVQMRGxMd1HGRlK8lS1fgyNGTkMtkIARP0zSiotXYtWOD2/dot9tRV9eI6Gh1SN3u2Ml74dyNelPqk7n8QNstoYbBYEBFRUXEje+xCb497RZPeDs3bdkfe4JMRHApmKRpGuXl5TAajVCpVOjSpUvEnItw4sMPP4Rer8fDD7dM3tTr9di4cSPefvtt5OXl4YEHHsCAAQOgUqlQXl6Ol156Cb/++itWrFiBESNGcDomR3rvS5cuRVNTE9544w2YzWY88sgj+PXXX/HWW29h4MCBfhH9n4rkgwGb8C0WC4DLhE92ScHczCN5Np8Yo/ib1kbU4DqdDgaDwe3GxaX5DlupzuMLMWPmk9DrDMx4HHjAM0sfx3XXjWn3ewUKQlZSqTSizGTYI1BkVrc1k5eOhF6vR0VFRdAeEKECRVHMd+avR36w7+PN/ri1Pr5Op0NlZSXnBF9RUQGDwfA3wXtg/fr1+O6777B+/XoAl5XxhDz1ej327duHd999F0VFRYiKioJYLIbRaERMTAwWL16Mq666inMTJ3KtzJs3D0KhEC+++CIAl0/Cm2++iZEjR2LUqFHMmHRr18lfnuTZMJvNDOET8xIAbjt8f8Z92H2vSJrNBy7vEoJtHbBvXHq9nrPxL7YYiNjnVlfX4o0338PZs+cRHx+Hhx66B/379Q74tdsL8p1FGlmxvzNCVt58EkItDvMGQlYqlQppaWkRs8ANJgSHC7BHWg0GA2w2Wws3RJPJFBKCJ859CoUC+fn5EbNAjQTU19dj1qxZmDNnDq666iqfj7NardiyZQsaGhpgtVqRmJiIyZMnhyzYzOFwQCgU4sEHH0RmZibuvfdenDlzBmq1muEjf3MF/iZ5H7BYLAzhE99roG3HMrYVbHp6eofdRNoCTdNobGxEfX09ZzcR0vogo3nsoBZyMfrzHiSYh8RaRsp3Blx2GIu0WfO2Al3YJi96vZ4hFUL4/ij1gwXRoJAbUaR8Z2yCDzYEhyuQCReDweC2oZBIJEhLS+NkZ8gO11EoFOjSpUuHtJiKioqwcuVKnDhxAg6Hg1GG9+zZE4BLO/XAAy1Ha3v27IlNmzaF/PjY0Ol0uP/++9G9e3csXboUQMtI2dZK4qFysiMkf+edd2LIkCHIzc3FBx98AJPJBLlczghYr7zySlx11VWIi4vz+Vp/k7wfsFqtDOGTNDjgskkGCYj57LPPcPLkSdx3333IyMiImAhP0udubm4OWc/Wm/mOP7tIImQDvGsDwgW2noJLAxIuEEwWPHtskrSl2pPO5gtkpjvSNChOp5PxZg83wXuCLIqEQiGcTicn7TC2C6NMJkNBQUGHEHx5eTluuukmTJw4EQ888ACEQiHWrl2LTz/9FFu3bkVWVhY+/fRTfPHFF/j888/dnktGeTsaP/74I2bMmIHly5fj+uuvB9A6sXcECMlPnToVI0aMwI033ogzZ85Ao9GgqamJmegoLCzEoEGDMHfuXHTv3t3ra/2p1PWhgkQiQXJyMpKTk2Gz2dDU1ISmpiYYjUZYLBbU1tZiw4YN2LVrFxITEyOK4Nl97lCqrj3Nd9i7SK1W6+YNrlQqwefz3YRs/mgDOgrsoJlg9RSnTp7FF59vhUqlxLQ7/oW0NG4yuUkUKE3TyM7O9vs686bUNxgMzBQF29Ut2IUWqXpEmgFPJBM8UeSTtgZN0zAYDDAYDGhubkZjYyOEQqGbxqKtnSNZ1Hc0wQPAxx9/jNzcXGZXDADz58/Hnj17sHnzZsyZMwfV1dVhSQAlxH3hwgU0NTVh0KBBAFyGNjfddBPWrVuHuLg4DB06tIUXfUeDvK/NZoNIJGL4xxO7du3Cyy+/jHnz5mHlypVeE+n+JvkAIRaLkZSUhKSkJGYEbdGiRTh8+DAyMjLwxBNPoKKiwm0VHi6w3fUCcWRrLzxHjMguUqfTQafTMeNhFosl4uJY2SXOYBdFj85dgm927YFG0wwAWP/RF1i89FHccuvkdh0b2w42Kysr6EWRSCRCbGwsYmNjvbq6BbOLJM+NNAMeQvB2ux1ZWVlh/T16gggT2boFHo/n5oYYqDkSWaA2NzdDKpUiPz+/Q8l03rx50Gg0Lf5OxsEAMCTfUSDFapIs9/DDD6NPnz6w2WwYOnQoFAoF/vnPf6KiogLvv/8+hEIhrrzySvB4vLAGywCuqh1ZlJJodQKBQIDrrrsOXbt2xT333IOXXnoJL730EuLj491e4+9yfTvQ0NCA+++/H2fOnMHQoUOxZMkS2Gw2RoEOgLlhqtXqkIWQeAPZ8VEUFVExsTabDXV1ddDr9czfyE0r2EkGrsCeIw5WMHns6ElMu/1BNDe5O2AlpyTiwM/boVAGpzcgqYChtIP1lWjYWgAUu60RaeN7ocqp5wJkWoOIOdv6zmiadpvHJy0XuVzO/J6GDBkCvV4PjUYDiUSCrl27RkR17L333sOKFSvw8ccfY+DAgZg+fTr69++P5uZmHDlyBEqlEqNHj8Z9993HaQWUpGimpaUBcIXO3HvvvbjxxhvR3NwMmqZx0003YdiwYQCA3bt347///S+kUimmT5+O8ePHc3YsgYIsLiZMmIB7770Xt9xyi9fH2e12iEQifP/995g3bx5Wr17NBOoQ/L2Tbwc+/vhjnDlzBrfeeisWL17M/KCcTifTw9fpdGhsbERjYyOjQler1ZyNnXkDIQSBQBBQSTfUoGmaMSOKiYlBbGwss4tkG7yQWfyOvEF5KtX9NUbxxMfrv2xB8ADQpGnGgQOHcc2EUQG/ZkdlwbMDjDwTDZuamph/Jza8PB6PSVJMSEhosYMIJzoDwZMJF78MTbyYI5HfzooVK1BUVASxWIzevXvjyiuvxC233BJ2gjeZTHjhhRewefNmLF26FAMHupIhq6ur8e2332LBggW4//77UVRUhGXLluHMmTN4++23OXlvp9OJffv24bvvvsPbb7+Nqqoq3Hvvvfj3v/+NOXPm4OLFi3jxxRfxxRdfQCgUYsiQIRg3bhxEIhE2btyIV155BRcvXsSMGTOYsr3neF0oQV5fIpG0KkQWiUSgKArjx4/HokWL0KtXr5av9fdOPnhoNBqcO3cOV111lc+T7nQ6mdAcMnIGXI7IVavVnAZdsGNiI60MTsR/3vrc3kxEuOgT+wO2ur+9VY8FTz6P99d91uLvcrkM773/GkaPGRrQ60WCmYy3OFYejwehUAi73R7RBJ+VlRUxYk7gsvufQqFoNfgkEJSVleGTTz7Bzz//zBhc8Xg89OvXD5MmTcLtt9/e4ddNYWEhZs+eDZFIhGXLlqFPnz7Mv128eJFZ5BMcO3YMt99+OzZv3uxTQBYoDh06hJdeegkDBw7EF198galTpzKRsBqNBmazGQsXLkRcXBzuvPNOXHHFFQCAc+fOYd++fVizZg2uuOIKXH311bjxxhtDfh/yhsLCQiQkJLRLS/U3yXcgKIpiCJ/tnd9WSdRfEOFTpGWHs6N1U1JSEB0d3erj2X1itvkO222Pq0URW8jGhbr//PmLuHHyPWhsdO9LpqWn4JdDOwMKziGz5pE2n2+1WlFVVcWUjAG4mUeFcwfZGQie6wUbOyFPoVDgxx9/xA8//IBjx47B6XTiu+++Q1ZWFifv5Q9OnjyJe++9F1OnTsWcOXP8uh5MJhP69euH119/Hddeey1nx/LYY49hx44deOCBB/DII48AAG655RYMHz4cs2bNQnFxMRYuXIiUlBTMmTPH7XuqqanBe++9h4qKCly6dAlJSUmYNWsWU5GINPiqMPxN8mECRVHQarUM4ZPAA3bMqEKh8IvM2MljkTbu5c3kJhCEynwHuBx7KhAIOM01f/vNdViz5iM01GsgEokQFx+Dt95ejquHDvL7NSJ11pwtTExJSYFCoXCrwADhy193OBwoLS0FRVERNY4JhI7gSaSwSCRCQUGBW1uiqakJtbW16NatGyfv5Q9qa2sxZcoUPPTQQ5g+fbrXx5w5cwb5+flubcQjR45g+vTp2LJlS9DHazab8euvv6Jr165MleDUqVOYO3cuXnnlFfTv3x+33HILLBYLPv/8c0ilUpw7dw6JiYmYNm0aevfujWeffRZSqZTpdRPiLC0tBZ/PR0ZGRlDHFk78TfIRAJqmodPpmD4+m/DZme/ebpZs+9ykpCS3Eli4wbXJDTt7nZjvBFsFIeN7oYo9bWjQYN/eA5DLZRg9ZhhkMv97wuTGHWmz5mz3tLS0tBbCRHYFxmg0gqKogH3bgwXxDohEgicJfFwTPKncCYVCdO3aNSJ0B4899hisVitee+21Fv/G4/Fgs9lw/fXXIzMzE0888QTS0tLw22+/YcmSJcjPz8eqVauCfu+SkhJ89NFH0Ov1eOKJJ5CQkIBDhw7hoYcewkMPPYR9+/ZBq9Xi448/hlKpxLFjxzB79mxs374dTU1NuPnmm3HzzTdj/vz5ANxV+Z0Zf5N8hIGmaUYhq9VqmdhKMmdOCJ/P56OoqAi7du3CuHHjkJ6eHlH2uaE2uSHjRcRtj23hStz2fN1MiW4h0lLR2Er1SBtFI34LRqPRr4qML6U+2xyJq8/GJvhQJgMGA0LwZFSUK4InpkNCoRAFBQURMz0zZswYVFZWev23wYMHY/369WhsbMTrr7+Offv2QaPRIC4uDtdeey3mzp3b7s+xZcsW7NmzBwkJCXA4HEw7btCgQYiNjcXkyZOZ++TXX3+N9957D6tXr0ZGRgZ+/PFH3H///Vi3bl2rFredDX+TfASDGGOQHT7JUefz+Th//jxefPFFWCwWbN26tUPnTttCR5vceLNw9Wa+A1wug0eabsEVrxuZSnX2aGF6enrAfgve3BB9nZ9AYbfbUVpaCpqmI5Lgy8vLGREsV9cauYYFAgEKCgoiygY6XCCW2gBw8OBBLF++HNXV1fj0009hMBhw+vRpTJs2jXl8fX09br/9dowfPx5PPPEEAFcl4N5778Vjjz2GiRMnhuVzhAJ/j9BFMHg8HlOKzsjIgNFohEajwZYtW7B69Wrw+XzMnTuXGU1TqVRhJ61w7JLZ5jsJCQluFq7EfIdUP3Q6XUSWwYkFaaS1XNhhS8GOFnq6Ifo6P4Tw/W2dEIIHEHEET8ZYuSZ4kjMvEAiQn5//lyV4T5GZQCBgRtzOnTuHxsZG9OvXDx999BFmzpzJKOcNBgOUSiX+97//QSKRYOzYsQBcpL969Wo4HA4MHz48LJ8pVPh7J9+JQNM03nnnHbz22muIiorCs88+i/T0dFitVgAI+mbJFUgJMZJ2yTabjdE7kNZHpJjvAO597tTUVERFRYX1eNjoiMQ2tsELCWohSn2lUumTuEkZFkC73P9CAbPZjLKyMiZEhKvfAZm24PP5KCgoCNrLobODTfDPPvss+vTpgylTpgAAqqqqsGbNGjz44IMoLy/H+vXrIRaL8cADDyAtLQ0vvPAC5s2bhxkzZkAsFuPDDz9EXV0d3njjDRw7dgwffvghEhMT3SoDnR1/k3wnwg8//IAHH3wQ6enp+O9//4vc3FwArrIg8dNnEz57rCmUZMbuJUfiLpnM58fFxUEoFEKv1zPJguEc/WKXwYOZPAglyCia3W7vML93b14JEonEzSuBiLdKS0vB4/EimuC59KlgE3x+fn6HWVRHGtgEP2/ePBw5cgTr169HZmYm8xiz2cxcr/v27cO2bdsgFosxbNgwrFixAi+//DK2b9+Ou+++m7mH7tmzB3379kVsbCwTDvNnwd8k34lQW1uLjRs34vbbb/fZszWbzQzhe84xq9VqKJVKTm+KbZnchBOtzec7HA5mB+k5+kVSBUMJLsrgoUIkuMU5nU434R4ZnZTL5TAYDODxeMjOzv5LEDxpgQFAfn5+RC0GOxJsgl+yZAn279+PdevWwWazIS8vDyKRiPl3tuf8vn37sGvXLhw4cABdu3bFe++959O9Ltxe9aFARJK8zWbD6tWrsW3bNtTW1iIhIQHjxo3DrFmzmAs8kjKJIxUWi4UhfHZmtUwmY8isPTdJNomGMuEuGLBJtK1dsjfzHW87SK7AzoIPVRk8WETiKBoZndRqtdDpdADc/ST8SWYLNSwWC0pLSyEWi5GZmckZwRPHQwDo0qVLRE3QdCTYZPz0009jx44d+OCDD1BdXY0lS5Zg/fr1yMvLcyuzs59z8uRJ3H///Zg6dSoeeeSRsEfJdiQikuQfeughVFdX4+mnn0aXLl1QXl6OpUuXQqlUYu3atQAQcZnEkQ6r1coQPilVA5cJnxiX+Iv2mtyEEu0hUYqi3Aif7CCJ2157MweCyYLvKLDd/yJNyEZGMnk8HhITExm1PlHqt5bMFmoQUyWRSMQpwRMDHQDIzc1t0ynyzwo2Ib/xxhtYt24dNm3axJTa//WvfyExMRGrV692e57JZGJ++1u3bsXzzz+PzZs3IzU1tWM/QJgRkY2H+fPnQ6FQMCpjEqU3Z84c6PV6qFSqsGUSd1ZIJBImk9hmszGEbzQaYTabUVdX57dXPDG5If3aSNyJOp3OoKJF+Xy+W9QnKRmzs72DtSD2JNFI2CUTsPvckVYGt1qtKC0thUAgQFZWFoRCIdRqNRITE92Ee1VVVR2qRQFCR/Bk/A74m+DJb+ytt97CqlWrMHToUKaiQVEUbr31Vqxfvx5lZWVMb37dunWor6/Ho48+CqvVipqaGgwePBhSqfQvtYsHInQn74mLFy9i0aJFuHDhAg4dOgQ+n4/HH38cCQkJzIzj3wgONpuN8dMnec8AmHI1icglKCoqgsVigVQqjZhyLgF7t5eZmcnpTtQzlY2Y7/hrQcw+tkgTi7FJlEt7Xy5Ajs2fiF273c6cH1KtCrZSFeixZWVlcU7wFEUhNzc3otpgHQk2Gb/22mv44IMPcPvtt+PChQtQq9WYNWsWsrKyUFtbi3/+85+45557MHPmTGYC6dNPP0W/fv0AgNmUkN3/XwkRTfJ33303fv31V5jNZsjlcqxYsQLjxo0DgA7LJP4rwW63uxE+uTSINemOHTvw5ptvYtKkSViyZElEkQE7bz3UBjxs8x2dTtemuUtHZMEHC7IT/bMdm79K/WARyOIjEBDxHkVRyMnJiSjPhHBh1apVWL16Nd5//30MHDgQX3/9NbZv347o6GjMnDkTXbp0wbZt26BSqVBZWYlly5Zh7dq1uPrqq/9Uo3DBIqJJvqmpCXV1dTh16hTMZjNuueUWpvw6duxYCIVCLFiwAF26dGEyibt27cpZJvFfGQ6Hwy0x7/PPP8fmzZsRHR2NF198EX369Gl3f5orkN5lOOJ1aZp2M3chMayE8AUCASorKzkXZHEBQiih8u9vD7hcfPjSWZBzFGjbpSMIPjs7G3FxcZy8bmfG6tWrsWbNGrz55ptuJjWE6NVqNWbPno2cnBxs3LgRTz/9NFatWoXRo0f/KZXywSCiSZ6NnTt3YvXq1fjyyy8hkUg6LJP4rw6Hw4HFixdj06ZNSEtLw5NPPsmM73GVBtcekPlhks8d7h81m/DJCCOfz0dCQgLUanXEECkpCXM97sUF2ATPZRkc8N12YXvqt3YNkbYLaW1wdT7JZyaCzISEBE5etzPjyJEjeOSRR7Bs2TLI5XIIhUIkJSUxwrmdO3fiq6++glqtRmZmJtasWYM33ngD11xzzd8Ez0KnIXmDwYABAwbg3XffxciRI70+JlSZxH9lPPHEE9iyZQv69OmDNWvWIDo62m2HT1EUALRLkBYsiMNepMWxApcXH2KxGAKBoIWbWzhz10nlg+vQFC7Ari6EuvLhLfOAXYXxVOoTcSKfz2cEgFyAVAb+Jnh3VFdXQ6/Xo6CgAOvWrcNrr72G/Px89OvXDzNnzkRcXBz27NmD1157DYWFhXj00Udx//33w+l0gsfjRdR1HU5ExraChZqaGjz99NNYvny5m+CEWFiSH5a3TOIzZ84AALKzszvugP/kcDgcmDRpEp5//nlGRR8bG4vY2FhQFAWtVssQPlHsByJICwY0TaOxsRH19fWIiYlBUlJSRBG8tyx4tvlObW0tamtrQyoK8wUyd8117CkX6EiCB9wzDzw99auqqgBctkCWSCSM4xzXBE928Onp6R1G8EVFRVi5ciVOnDgBh8OBnj174vHHH0fPnj0BuFocGzZswCeffIKqqipkZ2dj9uzZjNd7RyAlJQUpKSkAgH//+98oKCjA6dOn8dFHH6GqqgorV66E2WxGYWEhunXrhvPnz+PUqVPo06dPhx1jZ0DE7eRtNhtuu+02AMCiRYuQn5+P4uJiLF68GBaLBZs3bwaAkGUSr1q1Cq+//jqWL1+OG2+8EUBkXPCRDpqmodPpmIhcp9MJAG7xr1wQPjutLT4+HvHx8RFF8CTjuzV7X2K+o9PpQiIK8wVSXVAqlUhLS4tIgo+U9gFR6hsMBsYRkcfjITY2FlFRUZxMlZDKgMPhQFpaGpKTk9v9mv6gvLwcN910EyZOnIgHHngAQqEQa9euxaeffoqtW7ciKysLr7zyCjZv3oyVK1eie/fu2L59O5577jm88847YQ9w0el0KCoqglarxcMPP4wXX3wRmZmZeOedd8Dj8TBz5sy/iZ6FiCN5wFV2X7VqFXbt2oW6ujrEx8djyJAhmDt3LpKSkgAgJJnEBw4cwNy5cxETE4MZM2YwJB/JF3wkgqZp6PV6hvBJMAxRoBPCD5RkIjmtjV1diI2NRWJiol9E7U0URqYZuDDfIdBqtaiqqoJKpUJaWlpELYwiWR9gs9lQUlICwGV7bDKZQNN0u88R8Uyw2+1ITU1ldqwdgeXLl+PUqVP49NNP3f5+zTXXYNKkSbjlllswbtw4LF++HNdffz3z74sWLcL58+fxxRdfcH5Mrc2us/vrRC3/zTffYN68eZg/fz6mT58OANi7dy82bdoEo9GIBx98EAMHDuT8ODsjIpLkw4GqqirccMMNWLBgAb766ivccMMNuPHGG1FdXd3hF/yfCTRNw2AwMIRvt9sBgHEpI376bRE+RVGorKyEwWBAWlpaRNl7embBB+vfT1GUm1+70+lktA5qtTpocSNpH0RFRSElJeVvgvcTnlG2IpGo1XPkrx6FvK7dbkdycjLS0tI64uO4vb9Go2E2TAQTJkzAiBEjkJeXhxdffBGHDh1yq1gcPXoU06ZNw+7du5GRkcHZ8XiOuVVUVDDaCG+pjN999x0ee+wxPPHEE7jjjjvcnr9//36sX78e999/PwYPHszZMXZmRFxPPhyw2WyYNWsWhg0bhilTpuCrr75i/m3//v0QiUSYMGGC23OmTJmCadOmoby8nNML/s8GHo/H3ACJg5xGo0FzczPT/2SLnVQqVQvCZ1voZmRkRFQCFzugp73VBT6f7/ZdsVXgwWodiDgx0tIBgcsEz3XmOhfwRvBA2+eI/LtSqfS6eCWOjHa7HUlJSR1O8IBrKsaT4N977z2UlpZiwoQJ+O6775CcnNyiJZGVlQUAnN7zaJpmCPqll15CUVERzpw5A4vFgpycHPTs2RNPPvkk85u/dOkSFixYgIcffhh33HEHALgFzYwcORLdu3dHYmIiJ8f3Z8DfJA/gueeeg8PhwPPPP9/i34qLizvsgv+zg5C5UqlERkYGTCaTV8Jn+5CfPHkSL7/8Mu644w6MHTu2QyJP/QVN06iqqoJOp2uRctdekO9BoVAgKSmJ8WonFrtssvHV+iD6gEgUJ0aywt8XwXvC8xwRpb7BYIBWq2Usdg8dOoScnBz07t0bFRUVsNlsSExMDAvBe8JkMuGFF17A5s2bsXTpUgwcOBBbtmzxei2Tv2k0Gk7em+zANRoN7rrrLkRFReGaa67B7NmzodVqcfbsWaxfvx7nzp3DSy+9hNzcXAiFQqxZs4YpxbPL/OT//03w7vjLk/xXX32F7777Dl9++aVXAjGbzR1ywf/VwL5Bpqenu0XkGgwGGAwGnDhxAq+//jqcTicSEhIiiuA7sn1AyEIul7upwHU6HUMmnmNfDQ0NqK+vR1xcHBISEiKS4CNR4U922iRfwN8xR0+lPvHULywsxAsvvAAAUKvV6N+/P8aOHYuePXuG/ZwUFhZi9uzZEIlE+OSTTxixWmxsLJP2x4Zer2f+vb2gKIrZwT/22GPQ6XT47LPP3CKXhw4dirFjx2LWrFl46qmn8NlnnyEjI4PZVHnOwof7+4xURM6vKww4e/Ysnn/+efznP//xuRvviAv+rw5CYmlpaejVqxd69OiB06dP49VXXwWPx8O8efOgVqtRWlqKpqYmpq8fLpD2gdFoREZGRofqA3g8HqRSKRISEpCXl4fc3FzEx8fDbrejqqoKRUVFuHDhAiMA/Jvg/Qc7Zre9KXxisRhxcXG46qqr8M477+Caa66BQCDAvn37sHjxYlx11VWYM2cODh06xOEn8B8nT57E7bffjnHjxmHTpk1uavT09HRUV1fDZrO5Pae4uBgAOKlckvM+Y8YMnD9/Hs3Nzfj+++8BuMZ2aZoGn89Hly5dsGzZMly4cAGvvfaa19f4G63jL72T/+GHH2A2mzFz5ky3v9vtdhw/fhxLly7FAw88wFzw7B89lxf833DHV199hRdeeAFRUVF46623kJGRwUTkegaPqNXqDjWVcTqdKCsrg81mi4gEPolEAolEgvj4eNhsNlRXVzPfkUajgcViCbv5DkEkz+g7HA7OCJ4Np9OJxMRE3H333Zg7dy70ej1++OEHfP/99/jmm29w7tw5fPvtt5y8l7+ora3FjBkzMHfuXEaZzsb48ePx7LPPYvfu3Zg4cSLz9507d6J3796c3fNOnz4Ns9mMnTt3YtOmTVi4cCGysrLQr18/sPXgBQUF6Nu3L3777TdO3vevhr80yU+bNs3tIia4++67MX36dIwbNw5RUVFYs2ZNyC/4v+GCzWbDiy++iMTERKxbtw75+fkAXMYYVquVKembTCYmIrejTGVIxK7D4UBmZmZEtQ9omoZGo4HJZEJSUhLUanVEmO8QEIJXKBQRN6PvcDhQWloaEoIngtGYmBjk5OSAx+Ohb9++eOyxx3Dx4sWwhGm9/PLLGDBgAKZOncqMtxLweDxER0dj+vTpWL58ORITE9GtWzfs2rULn3/+Od566y3OjuPkyZOorq4GTdO44447cO7cOTz//PN4/fXXkZ6eDsB1XSuVSgwaNAjr1q2DXq8Pavz2r4y/NMkT5zZPiEQiphwKoEMu+L/hglgsxocffoisrCzGI59AIpEgOTkZycnJsNlsDOEbjUaG8KVSqZupDFeI5Cx4tn9AcnIy4xQZExODmJgYOJ1OhvDr6+tRV1cHiUQCtVrN+ffkDXq9nskXiESCJ45zXBN8RUUFzGYzoqKiGIJng9xfOhonTpxAZWUl427HxuDBg7F+/Xo8/vjjiIqKwuOPP46Ghgbk5uZi5cqVGDVqVLvfn/TSi4uLMWDAAOZ6/de//oWVK1di7969uOOOO0BRFKO+b25uRnx8PJRKZUS1nzoD/tIk7y9CecF7c9jbt28fHnjggRaP7dmzJzZt2tTu94x0DBgwoM3HiMViJCUlISkpCTabzS0i12KxoL6+nnGRU6vV7SIyzyz4SIoyZiv8U1NTvc4VCwQCREdHIzo6Gk6nk5nzJuY9oTDfIdDr9aioqIBSqUR6enpE3aAJwTscDk4XbhRFoaKiAiaTCVFRUcjLy4uoz71nz542H8Pn8zFjxoz/b+/Mw2s43///yiqykUjIYicShHzpqqqWFKl95xM0sZWiKBVrabWKqjWW8KXxsRRRW0LUErSl+NFaUyIiIpKQfT85ycl5fn/kO9OcJpSKrPO6rlwuk3PmPDOZM+95nvu+3zcTJkwo8c+XzoVGo5F7XwC89dZbNG/eHH9/f4YMGaLz97h+/Xq5M3GqKCgiXwx//xK8qgv+/Pnz+Pv7y+V4EnFxcbRs2ZKAgACd7coFXjzGxsbUrl2b2rVrk5eXpyP4iYmJJCYmykJmaWkptyt+Hgp3RHvVfepfFCEEMTExZGRkPHeGv4GBAZaWllhaWuoYu6SkpJCUlFSinQUlgS+PLnuvSuCFELLAW1hY0Lhx43J13KXJ01zspG2Ojo4EBgaSmZkp+z7MnDmTixcv8v3338u5UsePHyc2NpaFCxcCRbPqFZ6NIvJlRGxsLNOnT2fevHk65jtQIPJ169YtN21JKxJSqMXW1haNRiMLvjRzTUpKeu6Zq2TWUh77rUslfFlZWdStWxcLC4sX3kdxxi5SWV5ycrJsvmNpafnCnQUln/zyKPBS8qSUW1HSAp+VlYWFhQVNmzatsmIk1cCrVCo5jCQhiX+LFi04dOgQjx49wsXFhby8PAwNDWnRogXXrl0DChqWXb58GSMjI1xcXAAlq/5FUc5WGfB3h72/I4m8wsthaGiIjY0NTk5OuLm50bBhQ2rUqEFeXh5JSUk8ePCAiIgInjx5InuSQ8FN6Ndff+XPP//ExMSkRPuGlwTScvDLCPzfkXwL7O3tcXJyokGDBtSoUYOsrCwePnzI3bt3iY2NJSMjQ2eJtTgkgbe0tCz3Av8iqzrPQlpVyczMxNzcnCZNmlRZMZIEPikpicGDB8tuen/n3XffxdLSki+//BIoeEA3NjamX79+XL58mdjYWCwtLfnggw9YvXo19vb2KC7sL07VvArLmGc57EGByBsaGrJgwQI++OADBg8ezIYNG4rUrSo8PwYGBtSqVYumTZvyP//zPzRq1EiOUScnJxMVFcW9e/eIi4tjyZIlTJkyhZCQkHLnpy6JVHZ29iuz+JV8C+rUqUOTJk1o2LAhVlZWqFQqHj16RHh4ODExMaSnp8vdBiUKC7zUZre8IJ27vLy8Ehd46QHIzMyMpk2blqtrpjSRBD41NZXevXvj7OxMaGgoAQEBREZGAgXXl+R18e233/LkyRPZIlw6h8bGxmi1WkxNTXnttddo2bLlM5vYKDyd8jM9qSL8k8MeFIj88ePHmTNnDh999BHh4eEsXryY0NBQ1q9fX8ojrnzo6+vLlRVarZa0tDRSUlJITU1lxYoVhISE4OjoSK9evVCpVC+8VP2qKIsa/af1XE9PTyc9PV3Hhljy8S+PjXAKn7sGDRqUqMDHxcWRnp6OqampIvAGBmRmZtKrVy8+/PBDRo8ejZubGykpKRgaGtK7d2+aNm0q57bUr1+fDRs2MG/ePEaOHImVlRX6+vqYmJgUsactT9dTRUIR+VJEctjz9fV9Zn395s2bsbKyksv76tati6WlJZ6enty+fZvmzZuX1pArPfr6+lhZWWFubs769esJCQnByckJHx8f9PX1efjwIQYGBjotcsviZlM4Uawsa/T/br4jlebFxcUBBSESExMTuTtbeUCqV5cejkpS4B8/fkxaWhrVq1fHycmp3BxzaSPZ1KrVanr27MmgQYMYOHAgHTp04IsvvqBr165MnjyZ+Ph4vv76a/T09ORwhouLC/v37ycwMJCEhAQSExP5z3/+I8/mq2rYo6RQWs2WIr6+vqxfv75IhnZeXh4GBgbo6+vz008/Fdu4Ijs7mzZt2rBmzRo8PDxKa8hVhjlz5nDgwAHeeOMN/Pz8MDMzIyMjQ26RK5mGFE5WK62a3b8LfEmJVEkhtbI1MTFBX1+/iCthWZjvSEgCr1arS/ThSAjBkydPSElJwcTEhGbNmpWryouyID8/n65duzJo0CC8vb1xd3fH29tbLgd2dXVl1qxZdO7cGT8/P2bMmCH7OBS3+qEsz5cMVfOxs4x4Hoe92rVrExoaipOTk86NMTQ0FICGDRuW1nCrFEIIevbsyeLFi2UhkErNhBBkZmbKgi/96OvrY2ZmhqWlZbFtRUuCv/uplycTHvhL4Au3stVoNGRmZuqY77wqk6JnodVqX5nAx8fHk5KSQrVq1RSB/z+uXbuGWq0mKSkJDw8PvLy8GD9+PLm5uXTr1o2RI0fSp08f3N3dycnJISoqirVr12JlZSUn1Onp6cmzd0XgSwZlJl8O6NKlC5MnT2bAgAGoVCr69OlD/fr18fHxwdHRkZs3b7JgwQKcnJzYsGHDv/qMt99+m5SUlCLbg4KCaNasGVqtll27dvHDDz8QGxtLw4YNmTJlCu7u7i97eJUKIQRZWVlyi1wpgahwJzgLC4sSEfy/u+yVJxMeeL5e9fn5+bLgZ2ZmIoTQ8SyoVq3aK7mZSwKfk5NDvXr1SjR/IT4+nqSkJFngy9vfpbT4+0w7OTmZGzdusHLlSoQQBAUFAeDu7o67uzvTpk2jR48etG/fnsWLFzNq1Ciys7NZt24dtra2ZXUYlR5F5MsBhUUeICkpiTVr1nD27FmSk5OpVasWHh4eTJs27V/NRnJycnBzc+Pw4cM0bdpU53dSDPG7777j0KFDrFq1iubNm3PkyBG++uor/Pz86NChw8sfZCVEqi2XBF+qfpCS0aQZ/r9JxPq7y155mylKAv8iveoLm+9IpXglab5T+HOio6NRqVQlnqAoxYyNjY1xdnausgIvkZ+fz/z588nKyqJ27drMnDmTS5cusX79elxdXbl48SKvvfYac+fOxd3dHXNzczp06MCAAQNo0aIFY8eOJSMjAz8/P3799VfatWunCH4Jo4h8FSAyMhIPDw+uXr1a7A0vLi6O999/nyVLltCnTx95+/z58wkLC2Pfvn2lOdwKiRAClUolC75arQb+KkeTBP95ErPUajVRUVEYGBhQv379cifwycnJPHny5IUE/u9IKyKS4EuJepLg/9uKhsKWsiUt8ImJiSQkJGBkZISzs3O5C52UBbdu3WLnzp0YGRlhZ2fHuHHj0Gq1/P7778yaNYsuXbowf/58+vfvj5mZGQEBASxbtoykpCSGDx+Om5sbU6ZM4cSJEzg7O3P48OGyPqRKhyLyVYALFy4wffp0Lly4UOzv9+zZw9KlS7l06ZLOjevKlSsMHz6cU6dOKd32XhCVSiU30MnJyZG3Fxb84sS7sI1ueTPhgb8E3tramtq1a5fIzFt6QJJK8zQajVzRYGFh8dxdxwoLfL169TAzM3vpsUkkJSURHx+PkZERzZo1K3fJj+WR5ORkTExM6Nu3L/Xq1UNPT49OnToxbNgwVq1aRXJyMl5eXmzcuJG4uDj27NmDgYGBknBXwpSvO4jCKyE2NpY6deqwa9cuAgMDSUtLo2XLlkybNo169epx//597OzsisxMJE/96OhoReRfEKm23MHBgZycHJ0WuVL2uampqVyaZ2RkxKFDhzh//jwff/wxDRo0KHf11pLQlaTAw1+rHaamptSuXZucnBx5hi8lOEqC/7QEx1cp8MnJycTHx2NoaKgI/N+QMuP//PNP9u/fT1RUFHp6egwcOBAPDw/Gjh1LXl4e33//PZcuXcLX1xe1Wo2Pjw/r169n5MiR1KpVi8DAQAwMDNBoNOXuwbaio5zNKkBcXBzh4eFkZWWxbNkyVCoVW7ZsoV+/fgQFBaFSqahZs2aR90nbkpOTS3fAlQwTExPs7e2xt7dHrVbLS/qS4MfHx3Py5En8/f2pVasWjo6O5Vbga9Wqha2t7SubaRU237G1tSU3N5f09HR5ll9cvsOrFPiUlBSePHmiCPzfiI2Nxc7OTr5OmzZtSkxMDIaGhhgbG8urVDNnzmT8+PGsXr2aCRMmMGnSJPz8/DA0NCQyMhIbGxsOHjxItWrVFIF/RSjL9VWA5ORkkpOTdZLu8vPz6dmzJx06dMDU1JSTJ08SHBxc5H3t2rXD39+fd955p7SHXelRq9WkpKSwZcsWduzYgbW1NfPmzaNRo0alXm72LKRY9KsW+H+isPmOSqUCwMzMDI1Gg1qtLnGbX6k80MDAgGbNmpWKw6BEYmIip0+fZu/evaSkpBTpjFkW7ailZfS9e/dy9OhRVq9ejbW1tbw9NzdXx8Bmy5Yt5OTkMHjwYAYPHkzv3r2ZPn06YWFhDBs2jNq1a3PgwAEsLS0VgX+FKGe1CiBZuBZGunE9fPiQ999/n7i4OPlLKnH//n0AZan+FWFsbMzevXvZsWMHjo6OrFixAlNTUzIzM8nJySEhIYFq1arplJuVNpLA29jYYGNjU6axUmNjY2rVqkWtWrXIy8sjIyODxMRE2T8/KSmJ3NxcLCwsXjpZMS0trcwE/rfffmP8+PG4ubk99ThKux21JOSHDx9m4cKF+Pn5YW1trWNkI907pHCKm5sb06ZNo2fPnvj7++Pt7Y2xsTGJiYlYWlry448/KgJfCih+gVWAtLQ0WbAlNBoNYWFhNGzYkK5du6LRaDh16pTOa4KDg2nVqpUi8q+IixcvsmHDBho2bMiuXbto06YNzs7OtG7dmvr162NhYYFarSYxMZH79+8TERFBfHy8TiLfqyQhIUEW+LKcwReHoaEh2dnZaLVaHBwcZK/8J0+ecO/ePSIjI0lMTPxXTZ3S09OJjY1FX18fJyenUhV4gNdee42LFy+yc+dO2rdvX+xrCrejLvzzKsI8ksAHBwcza9Ysdu7ciVqtJjIy8pmf5+joSM2aNQkODqZJkyYcPHiQjRs3cv78efbv30/NmjUVgS8FlLNbBdiyZQv79+9n4cKFtG/fnpSUFNauXUtCQgJeXl7UrFmTESNGsGTJEmrXro2LiwvHjh0jICCAdevWlfXwKy0uLi5MnTqVwYMH69QGGxkZYWtri62tLRqNhtTUVFJSUsjIyCApKYmkpCTZUMbCwgITE5MSFWAhBImJiSQmJmJra4uNjU2J7bskkNq6ZmRk6LTalboKSuY70iqEtBoihT+eda6kLnqSwJdkfP95kfoDPIvSakctLb2fOHGC6dOn8/3333Pv3j2++eYbfvnlF1JSUrCysirWY97BwYEePXqwd+9eBg4cSEREBIaGhuzevZs6deooAl9KKDH5KoAQgj179rB371756btNmzZ89tlncrMbrVbL5s2b2bt3L4mJiTRu3JjJkyfTtWvXf/WZ/+SwVxYxxYpOfn6+LPjp6emyFWhJGsoIIUhISCApKalCCXxxaLVaHbe9wuY7lpaWRR6OMjIyiImJAcDJyemZ+y4tfH19OXjwYJGY/IgRI2jbti2pqalcvnwZc3NzOnfuzNixY0vEoKdwGdvZs2eZMGECmzZtIjExka+//ppTp06xd+9eNmzYwI4dO2jTpk2xpW9nz55l1qxZ+Pn50bRpU9RqNTY2NorAlyKKyCuUOM/jsLd792727dtXbEyxvGWWl0e0Wq2O4Gu1WgDZUMbS0vKFBb+wwNeuXZtatWq9quH/K6S+7enp6f8o8MW99+/mO+np6ezbt4+WLVvSoUMHuQlR06ZNsbS0fFWH8UI8TeTd3d0xNDRkzpw5NG3aVG5H7ezs/NLtqDUaDXv37mX48OH88ccfDB8+HF9fX1QqFfPnz5dbZW/fvh13d3fOnDnDypUradeuHcnJyVy6dAkbGxveeOMNcnJy6Nu3L23btmXJkiWA0nimtFEepRRKHKnt6LPMXArHFBVeHH19fTmhUqvVkpaWRkpKivyv1L9bqsP/Jwc5qelKcnJyuRd4R0fHF55lS70FzM3NsbOzIzs7m99//52zZ88SEhLC2rVradKkCR4eHlhbW5cbkX8ar7IdtaGhoRw3DwsLY8WKFeTl5TF37lyCg4M5duwY/v7+BAUFYW9vz/LlyxkzZgxLly6lTZs2/PTTTzRq1IjWrVtjbGzMkiVLdPIaFIEvXZTEO4US5/Hjx1hbWz8zYam0YopVAX19faysrGjcuDFubm40bdpULm1KTU3l4cOHhIeHExsbKzeJKYzUNjU5OZk6deqUS4GPi4uTBf5lBViqtX/vvfc4dOgQY8eOxc3NjaioKNavX0/37t3p3bs3gYGBJXQEJU+TJk2KVMxIwh4VFfXS+2/Xrh1//vkn27Ztw9jYGB8fH44ePUpISAjfffcdM2bMwN7eHoCpU6fi4+PDrFmzCAoKws7Ojh9//JGwsDD09fVp27YtLi4uLz0mhX+HMo2qgJT35a5/ctiDApG3t7dnwYIFrySmWFXR19enRo0a1KhRAyEEGRkZxbbIlWL4QgimTZuGRqOR657LE5LAp6WllYjAFyY7O5usrCy6dOnC2LFjMTAw4MyZM5w8eZJff/2VgwcP6vRyKE+86nbU7u7urFu3jkuXLrFu3TqOHj3KuXPnWLNmDT/++CO+vr7cunWLxYsXY2RkhLe3N40bN2bdunXo6+uTmJjI0aNHcXV1RU9Pr1zfryo7ishXQKQvjBSHfRV9zF+Gf3LYc3BwIC4ujuPHjzNnzhw++ugjOaYYGhr60jFFhQL09PSwtLTE0tISIQSZmZmy255UB75s2TLCw8Pp2bNnsa6HZUlhgXdwcChRgVepVERHR6PVamnUqBFWVlYA9O3bl759+6JWq8vd90pCpVIxbdq0YttRu7u7v/SsWaPRYGdnR+PGjalTpw5Xr17lyJEjLFmyhICAAFxcXGjTpg03btwACq6zzMxM3nvvPdq2bUtYWBgXL16kR48e5fYcViWUxLsKxu3bt/ntt9/w8PDA0dFR3i6EQAhRLr5U/+SwN2/ePCIiInRiigC///47np6eHDp06KViigrPRgjB48ePmTBhAnfu3OG9997jo48+0mkKY2FhUabXkjTG1NRUHBwcqFGjRontW6VS8fDhQ7RaLQ0bNix34YnCPC3xriTbUUuGNoWNbQA+/fRT3n//fSIjI9m2bRs7duygefPmpKenc+jQIXx9ffH09CQyMpLw8HAaNWrEpEmTaNmypbyP4krrFEoXReQrGHfu3GHWrFlERERQu3ZtevXqxcCBA+VmMvCX4Je3ZbIpU6agVqvZtGlTsb/Pzs6mTZs2rFmzBg8Pj1IeXdUhPT2dUaNGcevWLQYNGsTs2bNJTU0lNTVVNo8pziO+tCgs8Pb29iW6wiB1+cvPz6dBgwblrkSwtJFK2RITE1mzZg3Tpk3DysoKfX19wsLCOHv2LKtWrSI4OJjIyEju3LnD0aNHsbe35/z583Tu3BkHBwfMzc1p1KgR/fr1K+tDUvgbynJ9BcPFxYX//ve/ZGdnc+bMGY4cOcKWLVuoV68e/fr1o1u3bjRp0kQW97KY4aelpZGUlETjxo3lbZLDXqdOnYBXH1NUeDo//fQTt27dYujQoXzxxRdyjL5u3bqoVCp5ST8zM5PMzEy5S5wk+K+yIkJKAnwVAq9Wq2WBr1+/viLw/yfwycnJeHh4MGzYMJ1VDWdnZ4QQeHh4YG9vz7fffkuDBg345JNP5IqO5cuXF+kXoMzeyxfKTL4CIc3O58+fT4cOHejevTsAt27dYuLEiWRlZZGbm0uNGjXw8PBg0KBBZZLVumLFimId9kJCQjhy5AhWVlb06dOn2Jiik5MTGzZs+NefrdFo8PPz48CBAyQkJODg4MB//vMfvLy80NPTQ6vVsmvXLn744QdiY2Np2LAhU6ZMwd3dvQTPQPkmOzub69ev89Zbbz3zZlxY8Atb6RYW/Jf1iC+MJPApKSnY2dnJcfKSQBJ4jUZD3bp1qVOnTontuyIiCXxaWhrdu3enV69ezJ8/H3i6SOfn56Ovr4+enh537txh4sSJ/PDDD1hbW2NsbFzuE4KrKspMvgKhp6cn36zOnTtHt27d5KQXSbwaNWpEYGAgISEhjBw5koyMDNauXUu3bt3k/eTk5LzSlpnTp0/HwcGBjRs34uPjIzvs7dq1CwcHBwD27NnDmjVrGDduXJGY4sswf/58Hjx4wMaNG6lXrx6XLl1i9uzZNGzYkE6dOrFy5UoOHTrEqlWraN68OUeOHGHKlCn4+fnRoUOHEjj68o+pqSnt2rX7x9dVr14dR0dHHB0dycnJKdIiV9qXFMN/GcGX6vRfhcDn5ubKAu/o6FjlBf7SpUu89dZbZGdn06NHD0aMGMG4ceN48uSJbDcriTb8lehbOG5/8+ZNrK2tsbOzk/erCHz5RJnJVyCkJ+wFCxYQGRnJjh07UKlUbNu2jQMHDnDy5En5teHh4Zibm3PhwgVef/116tevDxTEY3fv3s27776rkyBTGbhy5QqjR48mJCRExws+KysLMzMz4uLieP/991myZIlOadT8+fMJCwtj3759ZTHsCkdOTg4pKSmy4EtUr15dFvwXKYMsbMRTp06dEi3jkwQ+Ly9PbmRTlbl37x6jR4+mZ8+eBAcH06dPH0aPHs37779PXl4ee/fulZNeVSoV1atXL5KQB+Dj40NiYiJbtmxRlubLOcpfpwKSmpoq921OT0/nwoULOrPQK1euMGXKFE6cOMGAAQNkgddqtdy5c4ctW7bIMyWpDO/UqVM8efKk9A+mBAkKCuLNN9/UEXhAbjLy888/Y2RkJIc5JPr168eNGzeIjo4utbFWZExMTLC3t6d58+a4urri6OiImZkZKpWK+Ph4IiIinrsLnGSl+yoEPi8vTxZ4Ozu7Ki/wGo2Gpk2bMn/+fPz9/Rk8eDDjxo1j4MCBzJ8/n3feeYcvvvgCgG+//ZaOHTvy6NEjeQYvERERwc2bNxk4cCD6+vpFzJUUyheKyFcAHj16RHh4uPzE7OrqSosWLdBqtcTExBAeHk6PHj2Aghr15cuXY2dnJwt/Tk6OHE+7e/cuDRo0wMHBQV4ZOHfuHHPnziU9Pb3MjrEkuH37Nk2aNOHkyZMMGzaMLl26MG7cOG7evAnA/fv3sbOzK9LhS6pMUET+xalWrRp2dna4uLjQqlUr6tati7m5OTk5OSQkJBAREcH9+/dJSEhArVbrvFer1RIZGUlSUtIrFfg6derolJtWRQo3hFmxYgWjRo3iww8/ZMCAAcyYMYNmzZpx69Ytli9fzvbt2zl48CBt2rRh0KBBPHjwQEfoGzZsyKJFi2jWrBmgLNOXd5SYfAXg6NGjrFq1iiZNmvDBBx/g4eFBnTp1MDQ05Pfff6d69eq8/vrr5Ofns3jxYlJTU1m+fLk8g09KSmLRokWkpqaSkZEhJ5np6+tz5coV1q1bx3vvvYeTkxNarbbcld49L6mpqVy4cIGYmBjmz5+PoaEh/v7+jBw5ksDAQFQqVbHZ2tK25OTk0h1wJcPY2Jg6depQp04d8vLydFrkqtVqEhMT5bavxsbGfPbZZ9y4cYP9+/eXqMBrNBoePnxIbm4utWvXVgS+kMB7eHjw5ptvMmXKFPr168fEiRNp0qQJo0aNwt/fnwsXLuDr68uBAweoV68eM2bMYNCgQezdu5cmTZrIS/dvvPFGGR+VwvOizOQrAOPHj+fy5ct4enoSEhJC7969GTx4MF9++SUhISG0b98egNOnT3Pnzh2+/vpr6tevLy+jOTo6sm7dOjp27EhMTAwHDx5kyZIlXLlyhZUrV3Lt2jUSEhIIDQ2VRb4iYmRkRF5eHqtXr8bV1RUXFxeWLFmCnZ0d27Ztw9rautjVioyMDIByZ+lakTEyMsLW1pZmzZrRunVrGjRogKWlJbm5ucTGxjJ16lSuXLlC27ZtZZ/9kqCwwNvY2FC3bt0Kez2XBPn5+bLA9+vXD1dXVz7//HMGDRrERx99ROvWrRk1ahSbN2/mzp07rFixguPHjxMfHw8UzPq7du1K//79CQ8PVzpEVkAUka8A5OfnY2FhwfDhwzl48CB//PEHY8aM4fLly1y/fp0zZ86wYsUKHBwc2LVrl/yUXfjmZmRkRM2aNXFxceHcuXPo6enh4+NDamoqa9eupUaNGnh6etKuXTtmzJjBhQsXyMvLA5BvwPv27ePo0aM626Bg2bU8xOXq1auHq6urTh23vr4+Li4uxMTEULduXeLi4orEie/fvy+/X6HkMTIywsbGBicnJ5o3b86mTZu4fv06r732GhMnTiQqKoqIiAiePHmCSqX619eSJPBqtZpatWpRv379Ki3wgCzKffr0wcLCgu+++45Ro0bRokULWrZsiZeXFxs3biQ6OpqvvvqK4OBgAgICGD58OBMmTABgyZIlvPHGG3z77bdFQi4K5R9F5CsA0hc1Pz8fjUZD9erVGTx4MN7e3tSpUwcfHx9+//13Bg0axLBhw1i0aBG///673B8bICUlhePHj9OxY0fS0tLIyMjA0dERf39/unXrxtq1a7l+/Tq+vr4AjBo1iqlTp5KbmyvfKJOSkti4cSMpKSno6elx48YNcnJy5NpZKFvB79SpE9euXdM5boC7d+/SuHFjunbtikaj4dSpUzq/Dw4OplWrVorIv2Ly8/P59NNPuXDhAp07d+b777/HycmJmjVrkp+fT3JyMg8ePODevXs8fvyY7Ozs576WNBoN0dHRqNVqrK2tadCgQZUXeIkzZ87QsmVLduzYARR0sAsLC8PLy4vVq1eTkJDAvHnzCA4O5sCBA/zyyy8cPXqUn3/+mYCAAG7cuMFvv/3G22+/XSSfRaECIBQqJI8fPxZjxowRc+bMkbdptVoRFBQkvLy8RPPmzYWXl5f8u5s3b4r27duLsLAwIYQQDx48EP7+/qJTp05iyJAhYt++fSI3N1cIIUReXp6YPXu2mDt3rhBCiPz8fCGEEImJiaJ9+/Zi+/bt4v79+8LZ2Vk4OzuL/v37ix07doiMjAydMUrvKy3UarXo3bu3mDhxooiMjBRxcXFi4cKFok2bNiIuLk4IIcTSpUvFu+++Ky5fviwyMjJEQECAaNmypThz5kypjrUqEhkZKZo1aybGjRsn1Gq1zu/y8/NFcnKyiIiIEH/88Ye4cuWKuHLlirh27Zq4d++eiI+PF5mZmSIrK6vIT3p6uggNDRVXrlwRERERQqvVltERli+k8yB9rwuzadMmERYWJk6fPi1at24toqOjhb+/vxg8eLDIz88Xs2fPFhMmTBBpaWli0qRJ4ptvvimyX4WKgVInX0G5fv06kydPZunSpbRv357c3NwitclhYWE4Ozuj0WjYvn07R44c4cCBAzqv+fPPPwkMDOTYsWMYGhqye/dubt++zebNm/nwww/p3r27zr5PnjyJEIK8vDw2b97M4cOH2bp1K4cOHeLevXs0bdqUgQMH0r9//xJtKvK8JCcns3z5ck6fPo1KpaJ169b4+PjQunVroGClYfPmzezdu5fExEQaN27M5MmT6dq167/+zH9y2Tt79izjx48v8r6WLVsW+XtUdiIiImjQoMEzrXGl0tCUlBTS0tLkrG4DAwO5Dt/MzAw9PT3y8/N59OgR2dnZ1KxZk8aNG1fpGfyJEycwNjaW7aMLJ90JIXRi9CdOnGD69OkcPHiQq1evsmPHDg4dOsSXX35JTEwMW7duBf66j4BiWVsRUUS+AqLRaPj+++/lbNjC5OfnI4TA0NAQlUpFYmIihoaGfPfddyQmJjJq1CgSEhLo379/kRttbGwsDg4ObNiwgYsXL7Ju3TosLS05ceIEwcHBLFy4ECsrK7KysliwYAEajYY1a9bI78/KyiIoKIjt27fz6NEjFi1aVCUaVsyePZsHDx7w5Zdf6rjsLVu2jE6dOrF792727dtHQECAzvv09PSURKZ/QAhBRkYGycnJpKWlyaEYfX19zM3NUavVqNVqatSoodOzoSqyZ88edu/eTVJSEp999pn83Sss9BI///wz48ePZ/369bi7u9OhQwe6detGdnY2cXFxbNu2DUDHqlYotrUVEuWRrAIihKBatWpyKVzhGLSBgYH8hb5//z6ffvop3bt359SpU0RERLBixQrs7e0xNDTUSUBLTEzEwcGBhw8fcu/ePZo3by7373799de5fv267KiXlpbGxYsXOXXqFG+//TYzZ87kypUrmJmZMWzYMLZu3UrHjh3l2b9kuCOh1WqLbKuoXLlyheDgYHx9fXF2dsbU1JTOnTtz+vRpeTYVFxdH3bp1MTQ01PlRBP6f0dPTw9LSkoYNG9K6dWuaNWuGjY0N+vr6pKeno1arMTMzq/IzeCkpduHChTg6OrJ06VJ27doFgKGhIampqTologkJCZiYmMjfw82bN3Pr1i1CQkJYvnw5UDBhKHxOq/L5rcgodfIVECMjI7y8vOT/P00sTE1NefPNN5k9ezZQkHBTo0YNNm/ezNGjR9HT0yM2NhZLS0siIyOZOnUqGRkZpKWl0bdvX6DAFtTa2hoPDw8CAwMZMmQIly5dwsbGhvPnz3PlyhUCAgKYOHEi+fn5dO7cmWrVqlG9enVatWoFIHth3759GxsbGx1HOq1Wy59//omVlVWFrGf+J5c9+EvkFV4OPT09ebm+fv368pJ+vXr1Sn0JOTExkdOnT7N3715SUlKK9HsvzUZIBw8e5NChQ8ybN4+AgACsra0ZOHAgCxYsoEuXLmg0Gnr37s3GjRvlngWDBg1CrVazaNEi4uLi+PDDD1m6dCnTp08nJiYGKyurV9ptUKH0UP6KFZTCftJPe8Ju1KgRPj4+Ottyc3OxsLDg7t272Nra0qBBA4QQjBw5Ejc3N9atW4eVlRVt27YFkGfjgwcP5o033iAvL49jx47J5XWvv/46r7/+OlDgOLdlyxaOHz/OiBEj5Gx1qXGJp6cnKpWKJk2a0LNnTwYPHoytrS3Lli3D1dWVWbNmkZeXV6KdzV41t2/fpk2bNpw8eZKtW7cSHx9PkyZNmDJlivyQExcXh729PQsWLODy5cuYm5vTuXNnxo4d+0Ie7wp/oaenR40aNcok7+O3335j/PjxuLm5PfVaLa1GSEFBQQQEBDB37lz279/P48eP8fPzw8vLi+HDh2NpaUn37t0ZP368LPBSjs3w4cMxNDRk3bp1aLVavL292bFjB8bGxorAVybKJt9PoTQonN3+PBmx169fF15eXmLnzp0679FqtSI1NVV+3S+//CIGDhwoWrZsKYYNGyb8/f1FWlqaEEKI1NRUMWPGDHH06FEhREGmvhBC3L59W7Rt21Y8ePBA7N69W/Tp00c4OzuLDh06CGdnZ3Hy5EmdsWi1WqHRaF7i6EuHrl27it69e4tJkyaJmzdvitu3bwsfHx/h5uYmoqKihBBCdOnSRXTr1k2cOXNGREdHi9OnTwt3d3cxceLEMh69wr8hJydHZGZmCiGEWLt2rejcubPO72NjY0WLFi3E4cOHdbbPmzdPDBo0qMTGcezYMTF06FBx7do18c0334jRo0cLrVYrxo8fL2bOnCnUarXo3LmzWLlypbh9+7bo3bu3ePjwoRBC6Hy3Dhw4IDp06CB8fX1FTk5OiY1PoXygPK5VYgovYRY324+MjMTc3JxatWqhr69PcHAwZmZmspmOlIl76dIlTp48SefOnTly5AhLly6lQ4cODB48GAcHBwIDA1m6dCktWrSgevXq2Nra0qJFC+CvePxPP/0krxw0aNAAFxcXdu3ahYeHB4cPH+aTTz6hYcOG9OzZk549e9KoUaMKEbMu7LInzX6WLFnC9evX2bZtGwsWLGDz5s1YWVnJjnp169bF0tIST09Pbt++LXf9UqgYVKtW7Zn14s9qhDR8+HCio6Nf2pPh559/Ztu2bcydO5effvqJsLAw/P39+eSTTzA1NeWbb76hR48e9OjRgz59+jBt2jSysrI4fPgwkydPRk9PT06k69+/P3l5edy7d0+pg6+EKCJfRVGr1Rw/fpzffvuNHj16YGNjw86dO1m4cCGNGzcGChJ24uPjWbp0Kc2aNUOlUnH//n0uX76MSqXC1NSUhQsX8uDBA8aOHcuIESM4deoUTZs2pWHDhvI+oMBw5uHDh7Rt25Z3332XP//8kyFDhuDu7o67uzvR0dGsWLGCoKAg/Pz8qFGjBuPHj+fDDz8sq1P0XNSrVw8LC4unuuxBQS7E35GEPSoqShH5SsbzNEJ6WZE/ceIEKSkpHDt2jNDQUPz9/Zk+fToA3333HT179qRjx44MGjSIyZMnM2bMGPT09GTHSn19fVQqFQYGBhgbGzNkyBB530LJoq9UKCJfRalWrRr9+/cnIyODzZs3o1Kp6N69O/369ZMFKy0tjfnz52NgYMCcOXOwsrJi1qxZWFpacubMGRo0aEC1atXYvHkzXbp0YcCAAfTo0UN+v5Q3EBERQWxsLJcvXyYmJoZt27YRFxfHmjVr+H//7/8xcuRIcnJyaNCgAatWrUJPT4/AwEB5Jl+4BOjx48ecPXuWXr16YW5urnNM4v+qQUvzBtWpUye2bt1apEzp7t27dOzYEYDQ0FCcnJx04u+hoaEA8sOQQuWhNBohffnll3z44Yf4+/vz888/8/nnn5OVlcXmzZsZMmQIr7/+OiNGjMDb25u3336b/v378+jRIw4cOMCFCxcwNDRk3759tGvXjv79++vsWxH4yoUi8lWYOnXqMHPmTGbOnEliYiImJiZyItGDBw9YuXIlUVFRcjJeXFwcBgYGhIeHc/XqVQYPHowQgnPnzrF161YyMjL44IMPGDp0KB9//LEs0vv27cPV1RULCwtcXFxo164dZ8+e5eLFi3z//fcsXryY6OhorK2tcXJyolevXvTp06fIeH/99Vf27NlD7dq16dq1K+bm5mg0GhITE7G1tS2T5f0BAwbwww8/MHXqVGbOnImJiQl+fn48fvwYLy8vVCoV06ZNo379+vj4+ODo6MjNmzdZsGAB7u7uuLi4lPqYFV4tr7oRkhRG27lzJ56ennTs2JEOHTrwv//7v4wYMYIbN24wduxY1q5dS+vWrbl79y4jR44kOTmZiIgIUlJSSEhIwNXVlcTExJcai0L5RxH5Koz4PwcsAwMDbGxsdH6XkZGBiYkJ3333Hfn5+QQFBdGiRQv27NnD+fPnsbS0pEWLFly6dAlzc3OcnJyYPXs2NWvWxNvbW2dWGxQUxIwZM+T/m5mZkZmZiaenJ/369ZNrehMTE1m5ciWfffYZPXr0YOXKlUDBkn9UVBSzZs3C29ubESNGYGpqSn5+PitWrOD06dNERUXRs2dP5s6dS61atUrnBFJQfbBt2zaWL1/O0KFDZZe9bdu2YWdnBxSYlKxZs4Zx48aRnJxMrVq18PDwYNq0af/6cyUHsuKYNm0aH3/8MVCQSb1p0yYOHz5MQkICzZs3Z+bMmbz22mv/+rMVnk3hRkiFV29KqhGS1NvdwMCAXbt2sXv3bkaMGMGgQYN466236NSpEwsWLGDMmDHyNZefn8/Zs2fZuXMnixYtombNmnL4QKGSU6ZpfwrlmvT0dCGEEOfPnxceHh7C2dlZjBkzRgwdOlT4+PgIIYSYM2eOmDJlili0aJHo3r27uHr1qs4+QkJCRKtWrcSjR4+Ei4uL8PT0FH/88YcQQojw8HDx9ddfi3bt2olevXqJe/fuCSEKPM5/+eUXeR93794V48ePF2PHjpW3aTQasWXLFuHm5iZOnjwpQkNDRffu3cX27dvl1xSuKLh8+bK4du2anBVd0cnLyyvyc/LkSdG6dWvZp18IIaZNmyY8PDzEn3/+KdLS0oSvr69o1aqVuH37dhmOvvJQXHZ9SkqKcHV1lStMJL788ksxcODAF9r/3/s/FP5/Yf//0aNHi0mTJgm1Wi1GjBghZs+eLTp16iQOHTokvy4mJkZ07NhR/p5JKF70lRtF5BWem/j4eLFhwwYxdOhQ4ezsLPr27SucnZ1FcHCwuH//viwuUtlcRESE8PLyEp9++qkQoqCpzpAhQ4Szs7NwcXERXl5e4tSpU0Kj0QiVSlXk86T9zJ49W4wYMUJcvnxZ/t2dO3fEmDFjxKpVq+Rta9asET179iyyn3379om33npL+Pv7l3rTnNIiPz9f9OrVS+d8XL16VTRr1kxcuXJF57Xe3t5i6tSppTvASkpxIi9EyTRCKnytnjt3rtjtQgjRq1cv4ezsLL755hsxYMAAERgYKNLT00XLli3Fe++9J/bv3y/UarU4deqUGDp0aLENaxQqL4qtrcI/kp+fj1arxdbWlo8//pg9e/Zw8eJFBgwYwFtvvcX06dOZM2cOgYGBPH78WF6q3759O9nZ2Xh7ewMFOQD/+c9/GDJkCNevX6dTp074+fnh6urKpEmTZNcw8X8JdIaGhiQmJhIUFESPHj34n//5H3lMWVlZxMbG6iw7S214JTIzM9m+fTurVq1i3rx5eHt7V9rmGtJy/Lhx4+RtISEh1K1bt8jSfN++fTl16hQ5OTmlPcwqw8yZMxk+fDgzZ86kXbt27Ny5k1WrVslWx/9E4UYw48aNY+7cuezcuRMoyIyXSlNDQ0Px8PDgt99+IzIykpo1a2Jra0v//v0JCgqif//+LF26lOPHj3Pz5k3g6Q6ZCpWUsn7KUKg4aLVakZeXV2QmkZ6eLrZv3y66desmxo0bJ4QQ4ujRo6Jly5biyJEjOq9Vq9Vi6NCh4uDBg0IIITIzM8Xo0aPFa6+9Jg4cOCCE0J2pbNq0SbzzzjsiISFBZz8ZGRnCzc1NnDhxQgghRFZWlnjvvffEypUr5THNmDFDDB06VAQHB8vvk/YdExMjVqxYUewKQkUjPz9fdO3aVfj6+upsnzhxohg9enSR10sz/AcPHpTWEBVegMLL515eXsLd3V3MmTNHeHl5CX9//6e+NioqSowcOVK8+eabIiAgQMTFxYkpU6aIL7/8Uri5uYlNmzbJ4Splib7qoCTeKTw3enp6Ogl1Go1G9hMfOXIkI0eOlNuCpqam8tlnn/HWW29x7Ngx3NzcyM/PJzExkWHDhrF48WJOnDhBaGgonTp1Yt68eXJ9vlTCI9Xyd+nSpUhioKmpKcOHD2fbtm2EhoZy5swZDAwMGDt2LOnp6Xz00UeYmJjw1Vdf4eTkJL9PmgXZ2dnx4MEDzp8//0r8xEuTn376iYSEBEaMGKGzXaVSYWVlVeT1hUu5lOSr8oUoVKM+duxY4uLiCAwMlDs+hoSEkJ+fz+jRo3UMbfLz86lfvz4rVqxg3rx5XL16lT/++IN69erx2Wef8cEHH9C6dWuqVaum1MFXMRSRV/jXFBb8wj2/ocCnHuDGjRts376dO3fu4OrqiqmpKY8ePcLFxYWHDx8ybNgwORNcQroBpaenExYWxuTJk4t8tr6+Pt7e3mzdupXIyEjee+89+vXrR0xMDF9//TVGRkZs3rwZY2PjIjXs0jKoSqUiIiICd3f3Cn3j27ZtGz169ChSm21lZfVKS7kUSpbC1+CECROIiopi+/btmJqaAjBp0iT8/Pw4e/YsAN7e3hgYGKDVauV/bW1t+fzzz5k4cSJWVlb06NEDQMfFUlmur1ooIq9QIvz9xiHdsFq3bs327dvR09MjPDxc7kKXnp7O8ePHWb58Offv38fT05NWrVphaGgov/f27dsYGho+1TDG1taW2bNnk5GRgYWFBUeOHJEbgEyYMEEuX3pas40333yTq1evAhXXACQsLIzr168XaUQEBaVawcHBRbZHRERgZGREnTp1SmOICs9BYYGfMmUKd+/eZfv27djb2wMFMXpra2umTJnCuHHjCAgIQKPRMHr0aIyMjOQYvtQ4KikpiaFDhxZphqMIfNWjcmYhKZQ5hUXTyMgIQ0NDmjdvLrdktbS0ZPDgwWzZsgWtVsu6devYv38/2dnZcuLd3bt3ad68+VNvTNLqgYWFBQEBAXz++eeMGjWKWbNmce7cOcaMGcOECRP4/fffi31fTk4OsbGxQNGe9xWFH3/8EQcHh2Lr3nv27ElUVBQ3btzQ2X7s2DHc3d0xMTEprWEqPIPCAj9jxgyuX7+Ov7+/TntiafXp8OHDXL16lWbNmvHbb7+xadMmcnNz5TCUkZER9vb2fPvtt3L4Rvo+KVRNFJFXKBNEQfkmrVu3ZtKkSTRq1IgjR45QvXp1+YYmGd5Iy5WFkZYd09LSWLZsGdu2bWPx4sUMHDgQPz8/ZsyYgaurKzVq1GDZsmWkpaXJ75VuqFFRUdSvXx+VSlVhs+5PnjzJu+++W+xKhJOTE927d2fu3LncuXOHjIwM/Pz85FapCuUD6W83e/Zszp07x/fffy+3gC7Mjh07+Oqrr9i6dSu+vr60atWKixcv4ufnJ1/DWq0WQ0ND3n33XaDge1JRV6kUSgZluV6hTCh842ncuDHz58+X/y/F0OvXr09sbGyRpDsoWHbMzs5m6tSpCCGYN28e7du359SpU4SEhDBnzhy8vLyIjo7m448/5sCBA4waNQoomBXl5uaSm5uLoaFhhV3CvHPnDnFxcXKf8OJYvnw5q1atkhMSW7Rogb+/v9wl8EV5Xqe9Xbt2sWjRoiKv6d69O2vXrv1Xn13Z0dPTkx9o/54jsmfPHhYvXszq1atp3749ABMnTmTTpk1cuXIFrVbLuHHjMDMz09lnRb22FUoOReQVyhytVosQQr4hSTF0AwMDGjVqRFxcHPb29jo3vqioKObPn49Go2H9+vVyEll4eDjm5ua8//77QEFc2sjIiMzMTADy8vIwMjIiOjqalJQUnJ2dMTY2rpCJdy4uLoSFhT3zNdWqVWP27NnMnj27RD5TaqxTmLNnzzJjxgydRidxcXF069aNVatW6by2oq6YlAZLlizhq6++YtKkSaxYsYIWLVqgp6fHjz/+yBdffMG3336Lh4eHbEdtamrKp59+ypIlSzhw4AA1a9bE09NTx0pXQUH5ximUOfr6+sUm7rVr1468vDweP34M/BVL37dvH5MmTcLGxoYtW7ZgbW2NRqMBCpb44+LicHR0RKvVkp2dTXh4OC1btgT+mtlERETw5MkT2rZtK3+ewj9jaGio86Ovr8+aNWsYNWqU7NUPBSJft27dYl+v8HQ+//xzOnXqxLRp07hz5w6HDh3i888/5+uvv6ZPnz46RlFQYPh09uxZatWqpXP+FRQklJm8QrlEmlV37doVlUoF/HVje/vtt7GysuL111/HzMxMjkMC2Nvbk5eXR0xMDGZmZixfvhwbGxvefPNN4K86+cuXL2NsbCzHLhXx+XcU57QHBSIvPUApvBizZ8/GyMgIT09PcnNzWbhwIYMGDZLzWKRrNSkpCW9vbxwcHPD39y/jUSuUVxSRVyjXjBkzpsi2evXq6XTyKizQ7dq1o0WLFri7u2NlZYWDgwM+Pj6Ym5vLS/U3btzg5s2bvPPOO1haWlbIpfrygFarZePGjYwYMaJILFjqwjZjxgxu3bqFtbU1vXr1wtPTUznXz8GMGTOwtrZmxYoVtGvXTi6Rk85dSkoKY8aMwcLCQhZ4pQZeoTgUkVeocDxLlC0sLPD19SU0NJT79+/Trl07OXFPes+OHTswNjamZ8+epTbmysjTnPa0Wi3x8fEEBwfz2WefMW3aNK5fv87ixYt58OAB8+bNK6MRVyxGjRpFbm4uw4cP57vvvuPNN99EX1+ftLQ0xo0bh7GxMT/88AOgCLzC09ETSjBSoRKh1WrR09N76kPAhQsXGDVqFH5+fnTs2FGZVb4EQ4YMwcnJicWLF+tsF0Jw584d6tWrh7m5ubw9MDAQHx8fLl68WMSdT+Hp/Pe//2XTpk2sXr0aZ2dnJkyYgFqt5sCBAwBFHB0VFAqjXBkKlYrCS/d/n/GfOXOGnTt34unpSadOnZRku5fgWU57enp6NG/evMj25s2bI4QgOjpaEfkXwMvLCyMjIz755BNsbW0xNDTk0KFDgCLwCv+McnUoVFoKN/A4dOgQu3fv5v3338fLy6ush1bheZbTHsC1a9dwc3PTecgKDQ3FwMBAJ59C4fnw9PTE1NSUuXPnEhQUBCgCr/B8KFeIQqVG6tCVkZHB559/TsuWLWXhUZbq/z0nT56kQ4cOxZ7D+Ph4xo8fT8eOHZk4cSI2NjZcvHiRZcuWMXz4cGUW/y/p168fzs7OWFpaAk/vyaCgUBglJq+goPBC3Llzh759+7Jq1Sq5y9nfiY6OZvXq1Vy4cIH09HTs7Ozo378/EyZMUBLEFBRKEUXkFRQUFBQUKimKA4iCgoKCgkIlRRF5BQUFBQWFSooi8goKCgoKCpUUReQVFBQUFBQqKYrIKygoKCgoVFIUkVdQUFBQUKikKCKvoKCgoKBQSVFEXkFBQUFBoZKiiLyCgoKCgkIlRRF5BQUFBQWFSooi8goKCgoKCpUUReQVFBQUFBQqKf8fEVzqcGKLCEcAAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x = data[\"平均湿度(%)\"]\n", - "y = data[\"日最高気温の平均(℃)\"]\n", - "z = data[\"アイスクリームの売り上げ (家庭の平均購入額)\"]\n", - "\n", - "plt.figure(figsize=(10, 6))\n", - "ax = plt.axes(projection='3d')\n", - "ax.scatter(x, y, z, c=z, linewidth=0.5)\n", - "ax.set_xlabel(\"平均湿度(%)\")\n", - "ax.set_ylabel(\"日最高気温の平均(℃)\")\n", - "ax.set_zlabel(\"アイスクリームの売り上げ (家庭の平均購入額)\")\n", - "\n", - "plt.savefig(\"../img/icecream_scatter_3d.png\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "40268.55" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "x = data[\"日最高気温の平均(℃)\"]\n", - "y = data[\"アイスクリームの売り上げ (家庭の平均購入額)\"]\n", - "\n", - "LinearRegressionModel(20, 100).loss(x, y)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "39310.45" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "x = data[\"日最高気温の平均(℃)\"]\n", - "y = data[\"アイスクリームの売り上げ (家庭の平均購入額)\"]\n", - "\n", - "LinearRegressionModel(50, -300).loss(x, y)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "\n", - "def solve(x, y):\n", - " a, b = np.polyfit(x, y, 1)\n", - " return LinearRegressionModel(a, b)\n", - "\n", - "\n", - "m = solve(data[\"日最高気温の平均(℃)\"], data[\"アイスクリームの売り上げ (家庭の平均購入額)\"])\n", - "\n", - "plt.figure(figsize=(8, 6))\n", - "plot_reg(m)\n", - "plt.legend()\n", - "plt.savefig(\"../img/icecream_scatter_regression.png\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "y = 36.00780537461502x - 126.12821494344617" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "m" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.12.3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/ch02/src/src.ipynb b/ch02/src/src.ipynb deleted file mode 100644 index 370926a..0000000 --- a/ch02/src/src.ipynb +++ /dev/null @@ -1,1310 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "import matplotlib\n", - "import numpy as np\n", - "\n", - "import seaborn as sns\n", - "\n", - "sns.set_theme(style=\"whitegrid\", palette=\"muted\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [], - "source": [ - "def f(x):\n", - " return x**2\n", - "\n", - "def df(x):\n", - " return 2*x\n" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [], - "source": [ - "# f の x における接戦をプロット\n", - "def tangent_plot(f, df, x, x_range=(-10, 10), label=\"f(x)\", figsize=(4, 6)): \n", - " fig = plt.figure(figsize=figsize)\n", - " _x = np.linspace(*x_range, 100)\n", - " plt.plot(_x, f(_x), label=label)\n", - " plt.plot(_x, f(x) + df(x) * (_x - x))\n", - " plt.plot(x, f(x), \"o\", label=f\"x={x}\")\n", - " plt.legend()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "tangent_plot(f, df, 2.9, label=\"f(x) = x^2\")\n", - "plt.savefig(\"../img/fx2_tangent_x2.9.png\")" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wCvxOfO+amWM+r9VQ68dPvzwbK+cVIp5Q8L+PtuCeR/YjGmf3PiIjS8oK/vxsG279414MhpOYWxfAz788B0tnja2ZSGmhGujUlHrQ1quWrnE3nYRcZXJ8Hify/eqZHz7/jIVBDgFIvzC9brVrTTaJVo79QwkMhBNZ/VlkfOFoEt/+w140NoeQ73fizs/O1KZIj1WB34Vbr5qOT59TDYcEPLOhB9//2z4oypEPLhORfn731EE8+EI7AODCE8rwg883oKJ4fCVn5UVufP9zDagu8aC1Ww10eng2wvYURdHO/WY7yAGGncvp5+atkTDIIQDpUrXyIndWD+gBgN/rRFnq3E8LJwTbWiSWxK1/3IstTUPI8zlw5zUzMat2YmdqHA4Jnzy9CndcPRMup4Q3tgbx7MbeDK+YiDLh3d2DePTVTgDA9R+tw5c+UgePa2K3JBXFHtz1uQZUFrtxoCuKm+7fjd4BBjp21j+UxGBYrU7JRfc9cZaZmRxjmVSQ8+tf/xpXXXXViK81NjbiyiuvxJIlS3DGGWfgT3/606QWSLmRq85qApsPEAD89B8teH/vEAJeB/7nMw2YnYGmAcvnFOCqs6sBAPc+fgDtvdxZIzKSoUgSP/q/ZgDA+StLce5xZZN+zKoSNdApL3Jjf0cUd/y5iZlcGxP3FpXFbnjd2d/PL2fzAUOa8JX/y1/+gv/93/8d8bXe3l7853/+J+rr6/HII4/gS1/6Eu6++2488sgjk10nZZlIsWa76YCQbj7AIMeu9ndE8NK7fQCA2z89A3OnZq4r2kdXV2Dh9DyEozLu/r9mJGXe7BAZxa8eO4DO/jiqSz343AW1GXvcmlIvvv/ZBvg8aov5jTsGMvbYZC4tXWpjoyk5mqHENtLGNO4gp729HV/4whdw9913Y/r06SP+7O9//zvcbjfuuOMONDQ04KMf/Siuvvpq/OY3v8nUeilLOpnJoRz7+8sdUBRg1YJCLJqRn9HHdjokfP3jU+H3OLB57xD+sbYzo49PRBPz2uY+PL+pFw4JuOHj9fB7M3sGtLbciwtWqpmhh17qyOhjk3nkqumAUJEaot7ZxyDHSMYd5GzZsgVutxuPPfYYjj322BF/tmHDBqxcuRIuV3r8zgknnICmpiZ0dXVNfrWUNbkuVxO7KxwIak/tvTG88I56XuYTp1Vl5WfUlHpx7YXqLvEfn2nD3rZwVn4OEY1Nz0AcP13TAgD42CmVWDg9Lys/55LVFXA5JWxuGsLmvYNZ+RlkbLlqHy0wk2NM4x4GesYZZ+CMM84Y9c/a2towZ86cEV+rrKwEABw8eBDl5eUTWKLaJSMUCk3o79KhwuHwiH8DQEev+oZQ4JVz8rsuy1fb+7Z2RTE4NARHlpsdGN1o18TK/vZCB2QZWDzDj6llyNpzbvUCH157Pw8bdg7hB39rwl2fmQr3GA432+16mAGvifGM55ooioIf/99BBIeSmF7lwSUnFWbtde93AWccW4Bn3g7iwecP4luXT8nKzzEavkbS9neo5WrlBdn7fBku36M2Oejsi434ebwm2aEoypiaZI07yDmSSCQCj2dk+0evV42io9GJ79jH43E0NjZOam10qKamJu1/t/c6AUgIdu9HLn7VSRlwSk7EEsCbG7ehJDsbeqYz/JpY1UAEeO5t9fl23NTBrL+2z5oLbN3nRFN7DL98dCfOOWbs83PscD3MhtfEeMZyTTbslbBxpxNOh4KLFoewa8e2rK5pUSXwLJzYtDuE519vRG1JVn+codj9NSIrwMEe9TMm3Nuck3uaaBwAXAhFZbzzXiO8HyiKsfs1yYYPxhujyWiQ4/P5EIuN7GQkgptAYOKHit1uN2bNmjWptVFaOBxGU1MTpk+fDr/fj3hCxlB0NwBgxbFzUBDI7pwcoeaVfWjpiiFQUo/5DfaOcj54Tazsz891ISH3Ys4UHy44pS7rLcsB4Eu+Qfzw4YNYu8OBc1fVY97UI/+O7XQ9zILXxHjGek3aeuN46rF9ABRccUYFTjshNxHHhpY2vLJ5AJtai3HmiTU5+Zl64mtE1dYTQ1LeB7dTwgnL5+WsUiTw1G6EojLKaxtQV67egPOaZMeuXbvG9H0ZDXKqq6vR0THyoJ/4/1VVE6+7lyRpUkESjc7v9yMQCOBgjxqIelwSKsvyc3LTCQBTK31o6Yqha4DXVxDXxKoGwgk8vbEfAHD5mTXIy8tNcHvG8gDe3h3B85t68bPHOvDLr8wZ04Fnq18PM+I1MZ4jXZOkrOAX/zqASEzBohl5uPT0WjgdufmMufysWryyeTve3DaIrkEH6it9Ofm5erP7a6R7vzpkfEq5F/k5+owB1HlN+9ojGIw6D/n92/2aZNpY71Mz2jx8xYoV2LhxI5LJpPa1N998EzNmzEBZ2eT74FN2DG86kKsABxjefCCSs59J+nrs9S6EYzJmVPuwcl5BTn/2dR+egspiN9p6Yrj/3wdz+rOJ7GrNa53Yui8Ev8eBGz5en7MABwCmVfmwakEhFAX4v5fZac0uct10QOBAUOPJaJDz0Y9+FIODg7jllluwa9cuPProo/jDH/6Az3/+85n8MZRh4gUpWiDmCttI20s4msQ/X1O7LF56WmVOA2oAyPM58dWPTQUA/Ht9N593RFk2GE7iby+owcXnPlSLqpLcfsYA6e6NL7zTy8HANpHr9tECB4IaT0aDnLKyMvz2t7/F3r17cfHFF+PnP/85brzxRlx88cWZ/DGUYbluHy1wIKi9/HtdDwbCSdSWebD6mGJd1rCkoQAr5hZAloEHn2/XZQ1EdrHmtU4MRpKor/TinONKdVnD3KkBLJ2VD1kGHnmF2Rw7EKMpcjUIVEi3kWYwbRSTOpNz1113HfK1xYsX46GHHprMw1KOdfarL8hcBzlil6WzP45oXIbXndGYmwwkFpfxyKvqDcalp1bmtGTlg646uxrrtw/gxXd78YnTK21Tp0+USwOhhDaE98qzqnV9zX/y9Cps2jWIpzb04JNnVKG0ILefdZRbemVyKlL3UBwIahy8q6R0Jqcwt2/8RXku5PucUBSgtZvZHCt77u1e9AwkUF7kxhlL9e3lOntKQKvT/wuzOURZ8cirnQhF1fN3Jy0s0nUtx8zIw/z6AOIJRQu8yJoisaR2T1OX6zM5HAhqOAxySLdyNUmSUFOm1mizVtq6kklFO/T7sdUVYxrGmW1XnVUNAHjlvT7sbeOQNqJM6htM4J+vq+fvrjq7Gg4dsziA+lnzydPVszlPvNmNgXBC1/VQ9rT3qvczeT4HCgIZbSB8VOWpc808k2Mc+t9tkO7ErkN5ce5T+DyoZ30vv9eHtt4YCvOcOHeFMboszqjxY/Ux6u7yA88xm0OUSQ+/0oFITMbsKX6cML9Q7+UAAFbMLcCMah/CMRmPpQIwsh69GikB6fuZwXASkVjyKN9NucAgx+biCRl9g+quVnmhDm8KbLloeY+mykMuPqkCPo9x3nKuOLMakgS8vqUfuw6E9F4OkSX0DMTx+JtqEHHlWdU576J4OJIk4ROnVwJQW9nHE7LOK6JsEIf+c12ZAqgdPP1e9TOuq5/ZQiMwzh0H6aJnIAFFAVxOCUV5Rx+OmGnlxUzvWtnBnih2t4bhcAAXrDRGFkeYVuXDqYuLAQB/ZjaHKCP+/lIHonEF86YGsGJubmdhHc3Ji4pRku9CMJTE+3uH9F4OZYFe5feC+LmioRPpi0GOzQ3vrKbHjhszOdb25tYgAOCY6fkozMttffRYXHFmNRwSsG5bENv3M5tDNBmd/TE8ua4bgHoWxyhZHMHpkHB8qnzuza39Oq+GskH3IIf3NIbCIMfm0vWr+u56dHHXw5JeT91InLDAGHX5H1RX4dW6vf352TadV0Nkbg+92IF4QsGi6XlYOitf7+WM6oT56lm8NxqDUBRF59VQpuke5LDDmqEwyLE5I70h8APHWvqHEtjapJaErFqgbwvZI7n8zCo4HcDGnQPY0sQSFqKJaO+N4ekNPQCMmcURlszKh8/jQFd/HLta2VnRatIjMXJ/xhhghzWjYZBjc7oHOanUbjSuYDDMbiRWsm5bELICzKzxoapEnw+csagp9eLs5eo09j8/x2wO0UT87cV2JJIKljTkY/FMY2ZxAMDrdmD5bPWs0BupclqyDq06RYdusUC6Kqarj9UpRsAgx+b03vXwuB0oSp3V6OTOh6W8kSpVM3IWR/jk6VVwOSW8u3sQ7+0Z1Hs5RKbS1hPDMxvTWRyjW5Uqn32D53IsJRxNYjCibpYaoTqF9Mcgx+b03vUAOCvHiiIxGW/vHABg3PM4w1WVeHDeilQ2h2dziMbl4bU9kGXguDkFWDAtT+/lHNXKeYVwOICmtgjaeqJ6L4cyRNxDBLwOBLy57xYL8H7GaBjk2JyePeUFvilYzzu7BhCNK6gsdqOhxq/3csbkE6ep2ZzNTUPY1RrRezlEpjAQAV59X93QuOLMKp1XMzYFARcWTVeDMZasWYc22NwA9zPBUBLROGcx6Y1Bjo0lkgp6BsQgUP3eFCrYYc1y3mhUbxxOmF9k2APIH1Re5MbqY9TSuifX9em7GCKTWLfbgYQMzK8PYF698bM4giijZcmadaS7xep3BjTf54TXrd5ad3PjVncMcmysd3D4IFD9Zpikh2fxDcEKkrKCt0SQY4JSteE+cmIFAOC1LQMYYDKH6IjiCRnr96ibGB85qVzn1YyPCHK2NA0hOMTp9FbQ2ad/JkeSJK38n/c0+mOQY2PdQfWNvazQDYdDv912Ds+ylsbmIfQPJZDvc+KYGcbtsjSauVMDmDc1gIQM7eaNiEb32tZBDEYllBa4cNLCYr2XMy5VJR7MrPFBVoC3trFkzQqMUH4PDL+nYXWK3hjk2JgIcvQaBCpofeXZjcQS3kzVuK+YVwCX03yBgtiRXrfbgXiSs5uIRqMoilbWed5xRaZ8rYvBoG82MsixAr1HYgjssGYcDHJsrFucx9H5DaFiWOMBDgQ1N0VRTNU6ejQnLypGaYETg1EJb2wd0Hs5RIa0rTmE3QejcDkUnLXUXGWpgmglvXHHAA+JW0D6TI5BghxWp+iOQY6NiUyO3kFOWernR2IyhiL8oDGz5o4oWrtjcDklLJ9ToPdyJsTllHDu8mIAwBPr+hh4E41izetdAIDF9YquZzono6HWj4oiN6JxGZt2cUPD7Dq1TI6+w6dF4wOeydEfgxwb04IcHTurAeoE6sKA2tO+kzWspiayOEsa8nWbU5AJZy8rhMuhYFdrFNv2h/ReDpGhdPbHsHZzHwBg1SzzbkxJkqQ1R3mTraRNLRJLYjCs7yBQgZkc42CQY2NakFOs764HwDcFqxA3CqsWmrNUTSjKc2FxvZrB+edrXTqvhshYnnizG7IMLJzmR02x3quZHFFW+9a2IJIys7Zm1dWv3s/4PQ4EvPre2vJ+xjgY5NhYtwFm5AjssGZ+3cE4treoWY8T5pmzRn+4ExrUHeq1m/v4vCRKicZl/HtdNwDgghXF+i4mA46ZkY98nxN9gwlsa2bW1qyGd1bTezabuJ/pH0ogljBvptMKGOTYVFIGegeM0V0NSGeTeDNpXm82qqVqc6cGUGqAwHmyakuA+fU+JGXgibeYzSECgJfe7UUwlERlsRsr5ppn+OfhuJwSjpurnh8U72FkPkaYkSMUBJzwuNRAq2cgqfNq7I1Bjk0NRgBZAZwOoChf/0Oj6YGgPJNjVqJU7USTDQA9kg+tLAYAPLmuGzF2XyKbUxQFj6UaDly0qhxOHeerZdKJqfLaN7b0s9GISYl2zUYIciRJ0jaPu9lGWlcMcmwqGFb/XVboNsQHFcvVzG0oksQ7uwcBACeYtHX0aFbOzUdlsRvBoSRefq9P7+UQ6Wpz0xD2HIzA65Zw7nGlei8nY5bPUWd6HeiOYX9nVO/l0AR0GaSzmiDWIc4+kz4Y5NhUf1gNbIyw6wFweJbZbdwxgERSwZQyD6ZWePVeTsY4HRIuPEEdDrrmtU7u8pKtiSYcZy4tRUFA/wqATAl4nVjSkA8AeHMrS9bMyCiDQIVyLZPDIEdPDHJsSmRyjLLrIfrKM5NjTtoA0IVFuh/6zLTzVpTC65aw52AEW5qG9F4OkS7ae2Pa6/zDJ5brvJrME13WXmcraVPqSpW6G+GMMTAsyBlgkKMnBjk21R8yWiZH3RUMR2UMRXhQz0ySsoL129UbgxPmW6dUTSgIuHDG0hIA6QGIRHbz+JtdkBVg6ax8TKvy6b2cjDt+vnqWcPv+EPoGudlmNkbN5IjW1qQPBjk21S8yOQbpguXzOJHvV4dHMptjLk1tEQxFZPi9DsyrD+i9nKz48Cp15/qNLf18fpLtxOIynl7fA8CaWRxAPZ86vVoN3pixNZdoXEYwZIxBoIJYRw8zObpikGNTwdSZnIpiY7whAMN3PthhzUwa96k3BPOmBgzRxCIbplf7sWh6HmQFeHZjj97LIcqp17b0YyAs2kZbp3viBy2YprbE3rqP83LMpDu18eR1O5Dvc+q8GhXP5BgDgxybMlomB0jX0nKn3Fy2pIKchdPMPzPjSM5boXaTenpDD2RORicbeWq9OvzznOWllt3IAIAFqUy0eE8jc+hM3TNUFOs/CFQoL1TPGfcNJcF5oPphkGNDSVnBgMEaDwDDZ+UwyDGTrakbggXTrR3knHxMMfJ9TrT3xrBp16DeyyHKiQNdUby3ZwgOCTjHQm2jRyPew3a3hhHlXCzTENUfRtq0Lcpzwp0aCCrutyj3GOTYUP9QErIiwSEBJQXGaQMqdj6YyTGPrv44OvricEjA3KnWPI8jeN0OnL60GEB6Z5vI6sRzffmcAlQUG2dTLBuqSzwoKXAhkVSws4Ula2ZhpEGggiRJWtDVz6eSbhjk2JCoES0tcBmq9KCc5WqmI7I406t9CHiNUQudTeevKAMAvNkYZAcmsrxEUsFzb/cCAM5NPfetTJKkYedyWLJmFkbrrCaI9Yi5hJR7DHJsSAQ5ZYXGyeIA6SYIHAhqHlttch5HmFHjx5w6/4ibPyKrequxH32DCZTku3D8POs2HBhOvJdtYfMB09DO5Bio/B5IBzlBlqvphkGODYnhVKUGKlUD0vW07K5mHtp5HJsEOQBwXmpH++kNPVAUNiAg63oq1Tb67OWlcDntsRst3ssa9w2xwYhJGD2TE2QmRzcMcmxIZEqMlskpS70hDEVkhKIcCGp04WgSuw+qW1RWbzow3KnHFsPncaClM4rNnKdBFtXeG8PGnQMAgHNXWLvhwHANtX543RIGwkm0dEX1Xg6NgWGDnNQ5Y57J0Q+DHBsS5WrlBgtyAl4n8nzqU5Lncoxve0sIsqx+sFRa/EDycAGvE6cdWwwAeGodZ+aQNT2zoQeKAhzbkI/aMq/ey8kZl1PCnDq1iQrP5RhfLC6jf0jc0xgryBEl+DyTox8GOTbUY9AzOUC6ppZBjvFtbVK3p+xUqiaIkrW1m/swEOawN7KWpKzgmdTQ2/Ms3jZ6NGw+YB6iMsXrllAQMFbzG57J0R+DHBsSZ3KMGOSww5p5pM/jWLt19Gjm1Pkxo9qHWELBC5vYgICsZeOOAXT1x1Hgd+LEhUV6LyfntCCH5aiGp5WqFRpnEKggMkuDEbVTIeUegxybkWUlnckxWOMBYPhAUDYfMLKkrKCx2V6d1YaTJEnL5jy1ng0IyFrEbJwzl5XA47bfbcL81MbNge4YW8UbXPo8jvFKpovyXHA5AAUSegeZ8deD/d69bK5vKIGEDEhQDDUIVEh3WOMHi5E1t0cQisrweRyYUe3Xezm6OH1pMTwuCU1tEexoYT0CWUNPMI63tgUBpMsy7abA78K0Kh8AYCtbSRuaEQeBCg6HhNJUxYw4C025xSDHZkTwUOCHoQaBCuXFDHLMYEuqVG3e1ACcNmkt+0EFfhdOXlQMIL3zTWR2z77dA1lWy1DFjb4diTJcnssxtq4+terDiEEOkD4WwCBHHwxybEYED4UG3XwXLRc5ENTY7DgfZzTnrVQPZb/0bh/bnpPpybKizcY59zh7ZnEENh8wByNncoD0sQAGOfpgkGMz6SDHmGcItMYDfQxyjEyUcNg9yFk0PQ91FV5EYjJefrdP7+UQTcq7ewbR1hNDwOvAKYvt13BgOPHetvNAGLG4rPNq6HCMOiNHKEuV4IuGT5RbDHJspjd1iLLAoFUI4o1qMJJEmDvjhtQdjKO9NwaHBMyrt19nteEkScK5qRa7LFkjsxNZnNOWlMDnMVY73lyrKfWgJN+FRFLBjgM8l2NURg9yivPV1xEbD+iDQY7N9KVeaPleY2Zy8nxOBLzq07KbJWuGJMo3plf7kOez940QAJy1rBQup4QdLWHsPcgGBGROwaEEXt/SDwA4f4X9ZuN8kCRJw0rWGOQYUSwha8FDhQG7qwFAcZ76GRkc4qatHhjk2IwW5Bg0kwMMbyPNIMeIeB5npOJ8F46fXwgA2gBFIrN58d1eJJIKZtb4MGuKvTO0wnw2HzC0ntRGqNslodBgg0CFojz1TE4fgxxdMMixmV4TBTnssGZMDHIOdc5ydef7hXd6EU+wfp/M59mN6lBb8Vym9Htc474hzsIyICMPAhVEJqefQY4uGOTYjMjk5Bm0XA1ID/VikGM8kZiM3a1qSRaDnLTlswtQWuBCcCiJddsH9F4O0bjsORjG7tYwXE4Jpy0p0Xs5hjGr1g+PS0IwlERLZ1Tv5dAHGP08DgAUpYKcgVASyaRx77usikGOjSiKok1vzvfqvJgjqGAmx7B2tISQlNWOMZXFxv1gyTWnU8IZS9Wbw2dZskYm88wG9Tl7/PxCrbyGALfLgTl1LFkzKlHSbtTzOABQEHBCggIFQP8Qmw/kGoMcGwnHZETj6k6COcrVYjqvhD5IDAFdOC1g2PIAvYgyn/Xbg+gZYIBO5hBPyHjxXZaqHY7IWG9hkGM4ZsjkOB0SAqlNZXZYyz0GOTbSl+rT7nNL8Bh4s6481VeeA0GNZ2sTz+McztRKH+ZNDUCWgRc29eq9HKIxWbctiOBQEqUFLiyfXaD3cgyHHdaMy+iDQAWxqSwqaSh3GOTYiNhFKMo3cISDYd3VOBDUUGRZwbbm1BDQ6QxyRnN2ambOsxt7eFCZTOGZVMOBM5aWwOlkdvaDFqQ6rB3oimpnWskYRLWH4YOc1BloPn9yj0GOjfSl6kFFtw+jEo0HBsJJRGLsVGUUzR0RDEaS8HkcmFnt13s5hnTq4mJ43RKaO6LY0cKZOWRsPQNxbNgRBMBStcMpCLgwtVKtN2psZsmakXSaoFwNSGdyWK6WewxybESkSosMHuTk+RzwezgQ1GhEucbcqQHu+B5Gns+JExcWAeDMHDK+Fzb1QpaB+fUBTK008EFNnS3UStYY5BhFPCFrmZEKowc5qTM5zOTkHoMcGxFncowe5EiSxFk5BsT5OGNzdmpH/OV3exGNMxNJxqQoihaIn80szhEtYJBjOD0DCSgK4HJKKAwYuwQ/38dyNb0wyLER7UyOCVqEaudy2GHNMIZ3VqPDO3ZmPiqL3RiKyHh9S7/eyyEa1fb9IezviMLrlnDK4mK9l2NoIsjZ0RJGjBsXhjB8EKjDYezKgjytuxo3bXONQY6NiF0Eo5/JAcBMjsH0DcbR1hODJAHz6pnJORKHQ8JZy9INCIiM6NlUw4GTFhYjz2f8zwQ91ZZ5UJTnQiKpYFcrz9oZQadJmg4ALFfTE4McGxG7COYIctTmAwxyjGF36oN9SrmXN0RjcPZydTDoO7sH0dHHbCQZSzQu4+X31CDn7ONKdF6N8UmShNlT1GYrexjkGIIZZuQIolyNjQdyj0GOjfSZpIU0MCyTw8YDhrDnYAQAMLOGXdXGorrUi8Uz86AowHMbOTOHjOX1Lf0YisioKvFg8Yx8vZdjCg21qSCnjUGOEZgryFH/3T+UgCxztEAuMcixkV4zlasVilk53AU3gj0H1Q/2hhp2YBorcZj72bd7+MFGhiLKKM9aVmL48wxGITZ49rRGdF4JAeYZBAqkz+TIsjoag3KHQY5NROMywlH1wKTRu6sB6ZaQzOQYw+5UkDODmZwxO3lREfxeB9p6YtjcxK5MZAwdfTG8s3sQgBrk0NjMTG3w7G0LI5nkpoXeuvpEkOPReSVH53QA+X71dpvncnKLQY5NiBeWyykh4DX+ZS8vVoOc4FCS3Wx0FonJONAZBQA0MMgZM5/HiVNTXavYgICM4rmNvVAUtQtgdalX7+WYRk2ZF163A7GEggPdUb2XY3tdQbXKw+gzcoTiVFdbdljLLePf7VJGiCCnJN8FSTJ+eUK+zwmvW316Mpujr33tEcgKUJzvQkmB8c9zGYkoWXv1/X6EoixTIH3JsoJn31YD7nOO42yc8XA6JMyoVrM5onyX9JFIKuhJzf0zQ7kakK6gEfMKKTcY5NiE1lnNBE0HAA4ENRLxgT6zxmeKANlI5tcHUFfhRTQu49X3+/ReDtnc5qYhtPXE4Pc6cOLCIr2XYzozRfMBBjm66h2IQ1HUMrBiE8z9A9JBDjus5RaDHJsYnskxCwY5xpAOcliqNl6SJOHs1LmHZ9lljXQmyiZPXVwMn4cf/+PVwOYDhiDuCcpMMAhUEA2feCYnt/guZxNaZ7UCc6R2AaAstdaeAQY5emKQMzlnLiuFQwK2NA2hpZO1/KSPUDSJV9/vBwCcs5ylahMhmg8wk6Ov7oF0kGMWRTyTowsGOTYh6kDNlMkpLVTX2sMzObqRZYUzciaprNCNZbMLAADPvc0GBKSPV9/rQzQuo67Ci3n1Ab2XY0rTq32QJHXTkJtv+ukJqvczpSbatC3OZyZHDwxybKLPZGdygPQbWA8P6unmYE8MkZgMj0tCXTk7MU2UOOT93Nu9SHJmDungmVSp2tnLS3m2boJ8HiempN4H9zKboxsRYJaaqBFOEcvVdMEgxya0cjUTBTmikxd3zPQjyjKmV/vgdPLGaKKOn1+IAr8T3cE4Nu0c0Hs5ZDMtnVFs3ReCQwLOXMrZOJMhMtq7D/Jcjl7EPUGJicrVRIMEBjm5xSDHJvqGzBfkaJkclqvphudxMsPjcuD0JaIBAUvWKLfEc+64OQWmOsdgRA3iXE4rMzl6SZermed+Znh3NUVhNj9XGOTYRPpMjnk+4MSHMcvV9CM+yBnkTN7Zx6lBzutbgxgI8TlNuZGUFTy/KVWqxtk4kybeC9l8QD8ik1NmojM5IshJJBUMRTjgPFcY5NhAIqlgIKwOIjRXJkddazgmI8xBirrYzaYDGTOrNoCZNT4kkgpefKdP7+WQTby9cwDdwQQKA04cP69Q7+WYnngvPNAVRSTGm1U9iI3PUhNlJb1uB/xe9Za7jx3WcoZBjg2IGlCHAyjwO3Vezdj5vU74U7McmM3Jvb7BBLpTpYIzUiUaNDmidS9L1ihXxHPt9CUlcLv4kT9ZJQUuFOe7ICvAvnaey8m1RFJB/5D5ytWAdHdbDgTNHb7j2YDWWS3PZZrBWUIpmw/oZm+bWo5RW+ZBwGue4NjITltSApdTwq7WMLszUdYFhxJ4Y2sQgNpVjSZPkiRtXs5uvoZzTsyZcTqAwoC5ghxRScPmA7nDIMcGzNhZTRDdU7rZfCDnRM35DJaqZUxRngvHz1dLhp5hNoey7MV3e5FIKphZ40NDLV/HmaKdy2HzgZwTTQeK892m27QVZ6IZ5OQOgxwbEC8oMzUdEMTBwl6Wq+Xcnla1FKOBQU5GiZK1F97pRTzBmn7Knmc39gJIP+coMxrYfEA3WtOBQvNt2hazXC3nGOTYgJkzOSxX0w/bR2fH8tkFKC1wITiUxLrtnJlD2bHnYBi7W8NwOSWtfTllhshu722LQOZw35xKDwI136ZtiVauxvuZXGGQYwN9qTcFUwY5oo10kDsfuRSLy2juTHVWq2XTgUxyOiWcuYwzcyi7ntmgPrdOmF+IwjzzvfcbWV25Fx6XhEhMxsGemN7LsZX0jBzzBTnFBTyTk2sMcmzAjINABW0gKDM5ObWvIwJZBgoDTpSbqE2nWYjyofXbg3xuU8bFEzJefEctVWPDgcxzOiVMr04NBWXJWk6lMznmu58pzmf5fa4xyLGB9Jkc870plKTeyLp5I5hTw5sOSJK5DneaQV2FD/PrA5Bl4IVNvXovhyzmrW1BBENJlBa4sHx2gd7LsSRRxrubzQdyqifVhKjEhJtvxXnM5OQagxwbSJ/JMd+bQlnqjayX5Wo5xaYD2Sd22J/Z2ANFYV0/Zc6zqVK1M5eVwOnkJkU2sPmAPsTMvDITlqtxTk7uMcixAS2TY8L0rihXG4wkEY2zE1WupJsO8DxOtpyyuBhet4T9HVFs3x/SezlkET3BODbsVBtasKta9sysFUEOB4LmklauZsbuaql7sGhcRjia1Hk19sAgx+KSsoKgic/k5Pkc8LjUnchelqzlhCwr2pC7mZytkTV5PidOXlQMAHh6AxsQUGY8+3YPZBmYXx9AXQU3KbJFnMnpDsZZfpQjSVnRftdmbDzg9zjgdav3M+KsNGUXgxyLCw4lICuAJAFFJpsODKjTpdPNB/imkAvtfTGEozJcTglTeZOUVeeuUHfaX3q3DyHu7NEkybKCp9erAfN5K8p0Xo21BbxO1JZ5AAB721iylgv9w+5nik3YMVCSJO3YQB/vZ3KCQY7FiV2PgoDTtLXZIi3dHWQmJxdE+cW0Kh9cJn3OmMWi6XmYUu5FJCbj1ff69F4Omdz7e4dwsCcGv9eBUxYX6b0cy2PzgdwSTQeK81ymvZ/hQNDcYpBjcb1aZzXzpXYFtpHOrT2tPI+TK5Ik4bxUNuff61myRpPz1PpuAMDpx5bA53HqvBrrE+W8e3kuJydENUepCTurCemBoAxyciErQU57ezvmzp17yD+PPvpoNn4cHUHfoHnP4wgiyGFv+dwQTQfYWS03zlpWAqcD2L4/xLIXmrDgUAJrN/cDAM5byYYDucAOa7ll5hk5QjqTw03bXMjKM2Xbtm3wer147rnnRszYKChgv/5cM/OMHEGUqzGTkxt72HQgp4rz3ThhQRFe29yPp9f34AsXTdF7SWRCL7zTi0RSwcwaH2bxtZsTM1LZ7ubOCGJxGR43i2OyqSdo3qYDQjEzOTmVlVfkjh07MH36dFRWVqKiokL7x+dj+Uuuid0CK2RyejgrJ+sGQgl09KnPmRnVvFHKlfOOU3fen9/UixhbpdM4KcrIhgMc4Jsb5YVuFAackGVgXwdL1rLNWpkc3s/kQlaCnO3bt6OhoSEbD03jZIlMTuoNrZuZnKzb26Z+UFeVeJDvZ01/riydXYDKYjcGw0m8tqVf7+WQyWzbH0JTewQel4TTl5TovRzbkCRJaz6wh80Hsi4d5Jg3kyPOR/czyMmJrNz57tixAyUlJbjiiiuwd+9eTJs2Dddddx1OOeWUCT2eoigIhTgsbyK6+6MAAL9H1n6H4XB4xL+NLuBWW+v2BOOWfR4Y5Zps26feYE+rdFv2dz0WelyP0xcX4KFXevDkW504fo43Zz/XLIzyGjGiJ97oAACsmp8PhxJFrl66vCZAfYUL7+wGduwfwOqF+ma/rX49uvrU+5k8r2yaz6cPXhO/Ww1ueoIx0/w3GJGiKGPKWGc8yEkkEtizZw9mzZqFm266Cfn5+XjiiSdw7bXX4ve//z1WrVo17seMx+NobGzM9FJtoa3bCUDCQM9BNDa2jvizpqYmXdY0XkNRAHAhGEri/S2NcFm47Fnva/LOdgcAB/KdQTQ2MqOQy+sxNR+Q4MTmpjDWrm9EWX7OfrSp6P0aMZpoHHj1ffV9fnZpLxobe3O+BjtfE09SAuDElr19aGzs1ns5AKx7PTp61ed5f9d+mO2WUFyT7iAAuNAzEON97SR5PJ6jfk/GgxyXy4W33noLTqdTO4OzaNEi7Ny5E/fff/+Eghy3241Zs2Zleqm2EH16D4AkFs2bjlm16vUIh8NoamrC9OnT4fcb/9yFoihwPbELCRmoqZuF8iLzpqoPxyjXpPfVfQBiWLGoDvPn2vcuW6/rsWTHAWzaFUJTsAInryjP2c81A6O8Rozm2bf7EUt2oLbMjfNWz8rpeRxeEyBQGsXD65vREXRi7rzZcOh4HsrK10NRFAw9ugsAsPSYWagwyX3AB6/J1HASeGYPInEJDbPnwmPlXdss2rVr15i+Lyvlanl5eYd8bfbs2Vi7du2EHk+SJAQCgckuy3ZkWUH/kFrqVVOej0BgZNTr9/tN83stKXCjsz+OcMJtmjVPhJ7XJJ6Q0dKl1jzPn158yPPFjnJ9PT50QiU27WrCS+8N4DMXTOUw1lGY6X0rF154twUAcP7K8lE/e3PBztdkdr0fLud+hGMyBqIu1JTqX2pqxevRP5RAItWTpbaiAG6TBQfimvj9ClxOCYmkgpjsQTE/ZydkrJs5GX+W7Ny5E8uWLcNbb7014uubN29mNibHBsNJJFNvCkUmbjwApA8adgfZfCBb9ndGkUgqyPM5UFlsjl0yqzl+XiFK8l3oHUxg3bag3sshg9tzMIwdLWG4nBLOWsaGA3pwOSVMr1KrJNh8IHt6Up/9hQGn6QKc4SRJSndY4+y/rMv4M6WhoQEzZ87EHXfcgQ0bNmD37t343ve+h3feeQfXXXddpn8cHUHfkPoCyvc5TZ8S5ayc7NvXrnZWm1blYwtanbicEs5art6sPr3eGPX9ZFyibfQJ8wtRnM+NCb1MSwU5zR1RnVdiXVpntULzP8+L8zgrJ1cyfufrcDhw7733YvHixbj++utx8cUX491338Xvf/97zJkzJ9M/jo5AvICKTdxTXtBm5XDnI2v2p+Y81FdynpWezj2uDACwYccAOvtjOq+GjCoal/HCJrXJwHkrSnVejb3Va0EOZ+Vki/jsN/OMHCE9EJSbttmWlWdLeXk5vve972XjoWkcrDAIVBBBTi8zOVkjdiEZ5OhrSrkXx8zIw/t7h/Dshl5cfmaV3ksiA3ptcz8GI0lUFruxZFaB3suxtfoK9RwOg5zsscKMHKEkFaiJahvKHnPXMNER9aV2PkRq1My0cjWeycma5k6RydH/4KzdnbdCzeY8vaEbsqzovBoyoqdS5YznHFcKp4PlpXoSG0MtnVEk+XrNip6gyOSYP8jhmZzcYZBjYb2pcrUSC2VyWK6WHYmkgtYuNZMzlZkc3Z20qAj5Pic6+uLYtGtA7+WQwbR0RvH+3iE4JOCc5SxV01tVqQdul4RYQkFHH0tMsyGdyTH//UxJ6vwcz+RkH4McC9PO5FjgQKrI5HSzXC0rWrujSMqA3+MwzfwBK/O6HThjqdqA4Im32ICARvr3OvU5sXxOASqK2YJWb06HhLpyNQO+n80HssJSjQfy2XggVxjkWFivBRsP9A8mWA6QBaKWvK7Cy85qBnHB8WrJ2luNQe4OkyYSk/HMBrWr2oeO58BYoxAZcJ7LyQ5Llqux8UDWMcixMNG5wwrlakV5LjgkQFbUQIcyaz+bDhjOtCofjp2ZD1lJ79wTvfxeLwYjSVSVeHDcXDYcMApxlpFBTuYpijIsk2P++5kSZnJyhkGOhaXL1cz/puB0pAdocVZO5okPZtEKlYzhwlVqNuep9T2IiXHfZFuKouDxN9SA90PHl7HhgIHUV3JWTrYMRWTEEmoFh5UyOcFQEokkK1OyiUGORSmKogU5VsjkAGw+kE1akFPBzmpGsmp+EcoK3egbTOC1zf16L4d0tm1/CLtaw3C7JJxzHBsOGEn9sHI1ReGNayaJjc08nwNet/lvWwsCamUKAPSzjXRWmf/ZQqMKRdM7H1bI5ADpA4fdbCOdUUlZQUsny9WMyOmUcMFKNZvz+JtdOq+G9CayOKcuLkaRBUYDWEltmQcOBxCOyugO8sY1k8RnvhWaDgBqZYp4/bJkLbsY5FiUeOH4PA74PE6dV5MZonUky9Uyq6MvhlhCgdsloaqUnZqM5rwVpXA6gK37QtjdGtZ7OaSTvsEEXnm/DwBw4QlsOGA0bpcDtWU8l5MNYp6MFUrVhHSHNd7PZBODHIsSXTusksUBWK6WLc3tahanrtzLGn8DKi1046RFxQCYzbGzZzZ0I5FUMHuKH3OnBvReDo1CZML3M8jJKCvNyBHSHdZ4P5NNDHIsymrncYB0V5VeZnIyan+n+oHMIaDGddEJasnai+/0YjCc1Hk1lGtJWdHmJV20ilkco5paITI5bD6QST2iXM1CmRwOBM0NBjkW1Tdgnc5qgpbJYb1zRmlNByrZdMCoFk7Pw/RqH6JxBc9u7NF7OZRj67cF0dEXR4HfiVMWF+u9HDoMrflAJzM5mdRjxXK1AmZycoFBjkX1apkc67wpiDe4bmZyMqqZM3IMT5IkXJjK5jzxZhdkDsS1lcffVLM45xxXaonuUlbFWTnZ0W2hGTmCNiuH5fdZxXdLi+obsmAmZ1i5Gm/yMkNRlGGZHAY5RnbGkhIEvA4c6I5h065BvZdDOXKgK4qNOwcgScCHUoEuGVNdhQ+SBASHkixDyqBeC5arie5qvWw8kFUMcizKSoNAhZJ8NyQJSMrqEC2avO5gAuGoDIdDbYFKxuX3OnHWMnU2ChsQ2McTqWt93JwC1JSypNTIfB4HKovV99H9LFnLGCuWq4lMDufkZBeDHIvqs2B3NZdTQmGAzQcySWRxasu8cLv4dmB0omRt3bYg2ntjOq+Gsi0Sk/Hsxl4AbBttFqJkbT+bD2REOJpEOCYDsFa5Gs/k5AbvaixK9JW3Unc1gLNyMk20OhVdgcjYplb6sKQhH7IC/Htdt97LoSx7+d1eDEaSqC7x4Lg5BXovh8ZAdKnkuZzMEFkcn8eBgNcaM/+A9Hnp/qEEy++ziEGORaXL1ayT3gWAstTEY06Uzgw2HTAfkc15an0PYglZ59VQtiiKgn+lGg586IQyODjDyhTYfCCzulPnccosNCMHSJ/JkVl+n1UMciwoEpO19G6Jxd4YSpjJySjR6pRBjnmcML8I5UVu9A8lsPb9fr2XQ1myrTmE3a1heFwSzlleqvdyaIzqK0Qmh+VqmSA+60sKrbVhq5bfq5mpPjYfyBoGORYkXjBul4SA11qXWJuVwyAnIzgjx3ycTgkXrFSzOf9Y2wlFYamDFa15rRMAcOqxxSjMs9ZmlZWJcrXuYBxDEe7QT1avBZsOCOLMNM/lZI+17oAJwPAZOS5IkrVKHNJBDt8UJqtvMIHgkPohXMczOaZywfFl8Lol7GoN4/29Q3ovhzKsrSeKtZvVLN3FJ1XovBoaj3y/Uzs7up8la5MmNjRLLVaVAqTP5bDdePYwyLEgK7aPFobPyqHJES1Oq0o88Hmsc6DTDoryXDg7VcL08CsdOq+GMu0fa7sgK8Dy2QWYUePXezk0TvWVLFnLlJ6gdTM5RWIgKIOcrGGQY0FakGPBEoeyAjYeyBTR4pSd1czp4pMqIEnA+u0D2NfOHWOrGAgl8PSGHgDAR09hFseMpoo20pyVM2ndqQ3NMoudyQHS3W8Z5GQPgxwL0oIcC+58lBamz+TwLMLkaOdxqth0wIxqy704cUERAODRtZ06r4Yy5fG3uhGNy5hZo7YLJ/PRMjncfJg0rfGABcvV0mdyWJmSLQxyLEi8YKw2IwdI/zfFEwoGeahzUth0wPzETv8Lm3rRE+QHpdnF4jL+9XoXAOCjqystd6bSLrQgp5PlapPVa+FyNWZyso9BjgVZ+UyOx+1Avl89P9LDkrVJ0WbkVDCTY1bz6/OwYFoAiaSCx97o0ns5NEkvvNOL3sEEKorcOGVxsd7LoQkSG0ftvTFE45xlNVHRuKxtZorzuFZSzMYDWccgx4J6LRzkAOkuK2wjPXFDkaQ2ZG0qZ+SY2sdOqQQAPPFmN0JRZjfNSpYVPPqqWnb4HydVwOVkFsesivJcKAw4oShAC7M5EyYaDLldEvJ91muOwxbS2ccgx4L6LR/kpM7lsDxnwkRr09ICl5YZI3M6fl4hppR7MRhJ4pnUgXUyn3Xbg9jfGUXA68C5Kzj808wkSdI2j5rZRnrCuoeVqlmxdLN4WLkazxhnB4McC0rPybFeDSuQ7rLCWTkTp5WqMYtjeg6HhEtWq2dz/rG2E8kkPyzN6JFUFueC48uQZ8Fda7sRJWuclTNxPVpnNWtu2IozOYmkgqEIyxqzgUGOxcQTMgbDasmKVTM5JSxXmzTR2nQqmw5YwplLS1CU50JHXxyvbu7Tezk0Ttv3h7B57xCcDuAjJ7JttBVMreCsnMlKd1az5oatx+1AwKvehvexw1pWMMixmL4hNbvhcAAFFi1D0srVmMmZMNHalJkca/C6HbhoVRkA4JFXOln6YDKPvKoOdD3t2BKUF1nzhs5u0h3WmMmZqN4BUa5mzQ1bIJ3N4bmc7GCQYzHiPE5RngsOh/VqWIF0lxVmciZOtDZlkGMdF55QDq9bwq7WMN7fO6T3cmiMDvZE8drmfgAc/mklolyttSuKBEtIJ0R8xluxfbRQxDbSWcUgx2LS53Gsu/PBxgOTE43LaO+NAeCMHCspynPh7OXqgfWHX+nQeTU0Vv9Y2wlZAZbPLsCMar/ey6EMKS9yw+9xICkDrd0sWZsI0QHUykFOCdtIZxWDHIux8owcoYzlapPS0hmFoqjljEV51n2e2NHFJ1dAkoD12wewj9PWDS84lMAzG3oBMItjNWqHNXUTiR3WJkZ8xlu18QDANtLZxiDHYqzeWQ1Il6tFYjLngkyA+MCtr/JZsi2nndWWeXHiwiIAzOaYweNvdiMalzGzxoclDfl6L4cyTJQD72fzgQmxQ7laiVauxsqUbGCQYzHamRwLZ3J8Hif8qY4kPUHufoyXaGk6tYKlalb08dRw0Bfe6UVrF2+ujGooksQ/1qptoz9+SiU3HCyIs3ImLp6QERxSNzGt2l0N4JmcbGOQYzG9qd0AK5/JAYZ3WOPux3hxRo61zZ0awMq5BZBl4MEX2vVeDh3GP9Z2YjCSRH2lF6sXF+u9HMqCeparTZi46Xc6gMKANTvFAsMzOQxysoFBjsXY4UwOkG4pySBn/ERLUzYdsK4rz64GALz4Ti+HERrQQCihZXGuPKsaTot2wrS7+tSsnJbOKJIyO6yNhziPU1LgtmynWAAoTh0t4Jmc7GCQYzF26K4GAGWFosMa3xjGI5FUtBImZnKsa/aUAFYtKISsMJtjRI+u7UQoKmNGtQ8npc5QkfVUlXrgdkmIJRStoyWNTbqzmrXvZZjJyS4GORZjhzM5AMvVJqq1O4qkDPg9Dg4dtLgrz1KzOS+/14emtrDOqyGhfyiBf77WBUC9RlbepbY7p0NCXbmaMWfzgfERn+1iQ9OqxL1aJCYjEmMjpUxjkGMhSVlB/5D1u6sB6Q5r3ZyVMy6idKmuwsuDzhY3s8aPkxcVQVGAvzzPbI5RPPxKB8IxGQ21fqxaUKj3cijL6tl8YEJ6bDAjBwACXgc8LvWzmNmczGOQYyEDoQRE2a/V55+UMZMzIS2pUrWpFSxVs4MrzqyCJAFrN/djz0Fmc/TWOxDHv97oBgBcdVY1NxpsoC7VxfIAOx2OS3pGjrWDHEmSOCsnixjkWIh4gRQGnHA5rf3hWVrIgaAT0dKpftDWsX20LUyv9uOUY4oBAA8816bvYggPv9KJaFzG3LoAVs4r0Hs5lAOiXK2FQc64aGdyLDwIVBCVN8zkZB6DHAvps8l5HCCdwma52viI3cQp5Qxy7OKKM6vgkIA3tgax80BI7+XYVk8wjsffVM/iXHV2FbM4NjGFmZwJscMgUKGImZysYZBjIX026awGpHd3wlEZ4SgP640VMzn2M7XSh9OXlAAAHniW2Ry9PPRSB2IJBQumBbBsNrM4diE2lPoGExgM87NqrLqD9ihXA9L3bP0McjKOQY6FpGfkWP9NIeB1wu9Vn74sWRub4FACA6kP2doyj86roVy6/IwqOBzAuu0DaGwe0ns5ttPZH8OT69SzOFfyLI6tBLxOrQ0yszljk0immyjZIZOTPpPDypRMY5BjIeIFYodMDpDe4WHJ2tiImvCKIjd8HutOkKZD1ZZ7cdayUgA8m6OHh17sQCKp4JgZeVjSkK/3cijHROa8pZMd1saiN1Wq5nJKKAxY/7OKs3Kyh0GOhdjpTA6QHhLWwyBnTHgex94uO70STgfw9s5BbG4a1Hs5ttHeG8PTG3oAMItjV+I9l5mcsREblyX5LlvMkeKZnOxhkGMhdjqTAwxrPsA20mMiPmB5Hseeqku9OOc4NZvzx2faoCiKziuyhwdfaEciqWBJQz4Wz2QWx47qytWW/QxyxqY7VYJeaoPzOEC6uxrP5GQegxwLSZ/JsUeQU8Y20uMimg4wk2Nfl51eBY9Lwua9Q1i7uV/v5VjejpYQnt2oZnE+dXa1zqshvUxhG+lx6U1lcuzQdAAA5+RkEYMcC0lncuzxxiAyOSxXGxstk8Mgx7Yqij34+KmVAIDfPtmKSEzWeUXWJcsK7v3XASgKcMaSEsyflqf3kkgn6YGgMcgyM6hH0621j7bHhq2ovhkMJxFP8D05kxjkWISiKNougF0yOaKNNBsPHF1SVnCgO5XJYbmarX3slEpUFrvR0RfHw6906L0cy3rxnV40Nofg8zjwmfNr9F4O6aiqxAOnA4jGZX5ejUF6EKg9Nmzz/U44UnfjfUPM5mQSgxyLGIrISCTVHSK7BDlauRo/NI6qqz+OeEKByymhspjto+3M53HgsxfUAgD+7+UOtPfGdF6R9YSiSdz/1EEAwGVnVNmm7IZG53JKqC5lydpY9aZK0Mts0D4aABwOCcV5nJWTDQxyLKIv1T7a73XA67bHZRVvgDyTc3SidWltmQdOG3SroSM7eVERjp2Zj1hCwX1Ptuq9HMv56wvt6B1IoLbMg/84qVzv5ZABaCVrnQxyjqZbO5Njjw1bgOdyssUed8M2YLfOakC6XC0ckxGKcpL0kbRondV8Oq+EjECSJHz+olo4HMBrm/uxadeA3kuyjJbOKNa81gUA+PyFU+Bx8WOW2HxgPNJncuyRyQHSZ6k5Kyez+O47Dk1tYQyEjPkEtNt5HADweZwIeNWnMEvWjuyA1lmNpWqkmlHtx4XHq1mGXz/eqpW70uT85okDSCQVrJhbgJXzCvVeDhlEHWfljEk8ISM4pG5a2uVMDmD8TE4klsTOAyHTjR5gkDNGrd1RXPeTHbjzwX16L2VU6fbR9nlTANLncrqDxnxjMAotk1POTA6lXXl2FQoDTuxrj+CJN7v0Xo7prdsWxPrtA3A5JVz7oSl6L4cMhJmcsRE3+S6nhMKAU+fV5I4Icox6Juc3T7TiKz/fiU27zDVImkHOGIWjalu/fe0RnVcyOjtmcoD0Tk8PB4Iekdg95IwcGq7A78Knz1U7f/35uTaWSkxCLCHj148fAAD8x0nlHLpLI4jnQ0dvDDG2CT4srbNagQuSZJ/zo+lMjjHvZcS9b9hkRwMY5IxRkeh8EUoYss99vw3P5ADpPvpsy3l40biMjj7198MbL/qgc48rRUOtH0MRGX969qDeyzGtNa91obU7hpICFy47o0rv5ZDBlOS74Pc6ICvAwW52NDycnqD9zuMA6Xs3o240iXWJe2GzYJAzRkV5atpUltWBTUYjov9ikz0BJ4ttpI+uNZXFyfc7bZX+p7FxOiRcd5FaWvXU+h7sOhDSeUXm0x2M468vtAMArjmvBgEvX2c0kiRJ2rkclqwdnuiWare260Y/k9M/ZM5qIQY5Y+R2OZDnU39d/QYc1qSdybHJhGChlG2kjyp9Hsdrq/Q/jd3C6Xk4fUkxFAX45WMHkDRgttrIfvtkKyIxGfPrAzh9SYneyyGDmsLmA0eVHgRqr3sZcZ7aiGdy4gkZQxG1xJKZHAsTF9eIE2nteyYnVa7GMzmH1cLzODQGnzmvFn6PA43NITz6aqfeyzGNV9/vw0vv9sEhAV+4aAocnENFhyHKhcXcMjpUjw3bRwPpcrX+oYThNpn6U93uHA4gz2euLDWDnHEoHvYkNJr0mRx7vTFoA0FZrnZYon00z+PQkZQXufGFVNnan55tw+7WsM4rMr7uYBw/+0cLAODS0yoxpy6g84rIyJjJObr0IFB73csU5bkgSYCswHCjSsQ9b1Gey3SbOAxyxkHL5BgsnRiJyQjH1FSi/TI56RbSZuvfnivM5NBYnb28BKsWFCKRVPDDvzcjFmcXqMNRFAU/frgZA+EkZtX6cTmbDdBRaJkcBjmHJUrP7ZbJcTolFKTOzBrtXI5Zmw4ADHLGReuwZrBMTl+q6YDbJWnDMe1CvBFG4zJCUd6QfZCiKMzk0JhJkoSvXDwVJfku7GuP4A9Ps9va4fzrjW68vXMQHpeEb3yiHm6Xvd57afymlKnvwcGhpOF2642iR8vkmO+GerKKDbqRrjUdYJBjbUYNcnqHtY+228FynyfdEIIla4fqH0piMJKEJAG1ZQxy6OiK8124/qNTAQD/eK0Lm3YN6Lwi49nfEcH9/24FAHzm/BrUV3LILh2d3+vUyrCYzTlULCEjGFLPf9gtkwOkjxsYNchhJsfijDqRtt+mTQcErWSNzQcOIWq/K4rc8Lr5cqexWTmvEBccXwYA+PHD+zEQNtZ7np7iCVkt5UsoWDY7HxedUK73kshE6ngu57B6U6VqrmGlW3ZSbNBZOQxybCKdyTHWnJx0ZzX77XwAw5sPGOuNwQhautQuPjyPQ+P1uQtqMKXMg67+OH75zwN6L8cw/vpCO3YeCCPf78RXP1pvuoO4pC/xXtzSySDng3qGNR2wW1UKMHxWjrE2bM06IwdgkDMuRi1X67N5JkcbCMpMziEODJuRQzQePo8TN1xaD4cDeOndPrz0bq/eS9Ld1n1DeOilDgDAVy6uQ3mRPTeWaOLE2Uhmcg4lqjHseB4HYCYnGxjkjIP2BDRYkCOi/hKbBjklqQGo3TyTcwixWziFTQdoAubV5+Gy09WuYb9YcwCd/TGdV6SfcDSJH/69GbICnLGkBKuPKdZ7SWRCWiaHQc4hxGd4iQ3P4wDpezijBTladzUT3mMyyBkHEcUGhxKQDTSsye5ncrRMDoOcQzCTQ5P1ydOrMKfOj8FIEj/6v/2GG1SXC4qi4N7HW9HWE0NFkRvXfXiK3ksikxLvxa1dUUPdRxiBOJNTZtMgp9jwjQfMd06KQc44FKYOwskKMBA2zrmcXgY5AIDuAWO9MegtKSto7VZ33usq2P2JJsbllPCNS6fB63bg3d2D+PW/DthuJtWa17rwzIYeSBJww6X1yPeb78OejKGqxAOXU0IsoaCLG3MjdNu4fTQw/EyOse5ltCMRLFezNrfLgXyf+uFmpHM5dj+TI8rVmMkZqaMvhkRSgdsl8ewATUpdhRc3XDoVkgT8681urHmtS+8l5cxrm/tw35OpdtHn1WDxzHydV0Rm5nRKqCn1AGDzgQ+ye7na8DM5RtlIiiXSMwhZrmYDIl1npCAnPSfHnm8MwxsPGOWNwQjEENApZV442QGKJunkRcW45vwaAMB9T7bitc19+i4oB7Y1D+EHDzVDUYAPHV+Gj66u0HtJZAFT2EZ6VD2iXK3Qnvcy4kxOIqlgKGKM4ebBVDdhpwPaJr+ZMMgZpyKDHQyLJ2QMpkrn7JrJEUPDonHjvDEYgTjYyvbRlCmXnFyBC08og6IAP3ioGduah/ReUtYc7Initj81IZZQsGJuAa67aIot29pS5okOa8zkjDS8hbQdedwOBLzqbXmfQdpI9w2p6yjKM+eweQY542S0NtJiZo/DARTYtE7c63ZoNfJsI52mNR1gZzXKEEmS8IULp2Dl3ALEEgpu+1MTDvZY70ZtIJTAt/+wF/1DCTTU+vH/XTYNTqf5PuDJmJjJOVQsLmtnnUtteiYHSGdzjHIup39QvSZmbB8NMMgZN5Et6TfIE1BE+0V5LlsPpStlG+lDaO2jmcmhDHI6Jdx02TQ01PrRP6QGAwMhY7wfZkIsIeOOB5rQ0hlFeZEbt396Bvxee24gUXbUsY30IcQGpdslmbIsKlOMVi1k5hk5AIOccTNaJid9HsecT8BMYRvpQ7F9NGWL3+vE7Z+egYoiN1o6o7jjgSbEEuYvFVUUBfc8vB+b9w7B73Xgjqtn2LZ0hrJHbDx19MUQi5v/dZMJPcPaR5uxLCpTSgzWRlrc65r1OASDnHEyWpBj985qgjiXwzbSqkgsic5+NeBjJoeyoazQjTuunoGA14HNe4dwz8PmnqGjKAr+9GwbXnq3D04H8K0rpmNGtV/vZZEFFee7kOdzQFGA1m5mc4B0FYadS9UA47WRZibHZkSf8D6DBTl27awmMJMzkpiPUxhwotCkb05kfNOr/fjWldPhdAAvvduHOx/ch0jMfDvTSVnBvf9qxd9e7AAA/NfFdVg2u0DnVZFVSZLEczkfYPemA0KJVq5mjHsZcY9pxvbRAIOccRMXWhz415vZn4CZIs7ksPGAiudxKFeWzirANz85DS6nhNe39OOm+3aj10Svw0gsie880ITH3lBn/3zuglqce1yZzqsiq6srVwc081yOqjv1nlFq0xk5As/kZBaDnHHSMjkGeQL2pqJ9u5/JKU3t/rDxgIqd1SiXVh9TjO99diYK/E5sbwnhq7/aheaOiN7LOqqeYBw3/mY33moMwuOScPPl03AJZ+FQDjCTM1JPUL2nKmUmB4Bx7jG1jXQGOfYgLvRAKAHZAPXnPJOjSperGeONQW/M5FCuLZqej3u+OBs1pR6098bw9V/twnt7BvVe1mHta4/gq7/aiZ0HwijMc+KuzzZg9THFei+LbGJKhQcAZ+UIogqjrMDe9zLFqaMHRjuTU8wgxx7E+QZZgdbTXU997K4GYGS5mqLoH3zqjZ3VSA9Tyr348XWzsWBaAIORJG753R68sKlX72UdYtOuAXztVzvR0RfHlHIv7rluNuZPy9N7WWQjolyNmRxVuvEAMzmAcTI5LFezGZdT0gZPGuFJyDM5KlHHG0soGIzoH3zqSVEUtHSppULM5FCuFee78L1rGrD6mCIkkgp++Pdm/OW5NkNkvhVFwdMbuvHfv9+DUFTGwul5+PEXZqG2jK8Tyq0p5WomJxhKImiQRkZ6Ei2keSZHvZeLxGREYvrey8QSMkJRtZGMWauFGORMgFHaSCdlRVuD3buredwOFKSCT7uXrPUPJTAUkSFJ4M0b6cLjduCmT07Dx05Rz7c88Hw7rv/lTmzdN6Tbmva1R/Ct3+/B/z7SgqQMnLq4GHd+Zia7D5IufB4nyovUz227Z3OicRmDqcoYu3dXC3gd8LjUOUF6b6SL+0uXU0Kez5zhgjlXrbPifGMEOQOhJMTmqFlTiZlUxuYDANI13pXFHnjcfImTPhwOCdecX4vrL6lDwOvAzgNhfP3eXfj+3/ahsz+Ws3UMhBL41WMH8MWfbsfbOwfhckq46qxq3PiJer4+SFci0273DmviPI7Xbd6b6UyRJMkws3L6Uz+/MOA07YDWjD+bZFnGT3/6U6xevRpLlizB5z73Oezfvz/TP0ZXWiZH5yeg6KNeGHDC5TTnEzCTSthGGgDP45CxnLuiDPffMA/nrSiFJKnzdD73o+148Pl2RLM47T2ZVPD4G1245u5teOyNLsgysGpBIX791bm4/MwqOBx8zyR9ifdouzcfEBuTJQVu095MZ5KozDFKJsespWpAFoKcX/7yl3jwwQfxne98B3/7298gyzI++9nPIhbL3c5dthXlqWVRemdyenkeZwQOBFWJXcHaVM03kd6K8934f5dMxU+/PBuLpuchGpfx5+facO2Pt+Hl93qRSGbuvI4sK9i4YwBf/tkO/OKxAxgIJzGtyoc7r5mJb181gyWcZBhaG+luewc5vanzOHYvVROKjJLJSc2DNHOlUEZXHovF8Lvf/Q433HADTjvtNADAPffcg9WrV+OZZ57BhRdemMkfpxttVo7OQQ47q42ULlez95mcdCbHp/NKiEaaVRvAD65twKvv9+O3T7aioy+Ou/7ajIC3BctmF2DF3EIcN6dg3B2WBsIJvL1zAOu3DWDDjgFtA6rA78Snzq7G+SvL4GS2mwyGs3JUIpNj9/bRgrin079ayNyd1YAMBznbtm3D0NAQVq1apX2tsLAQCxYswPr16y0T5Bil8UB6Rg53P4B0VxaWq3EQKBmXJEk4ZXExVs4rxCOvduCxN7oQHEpi7eZ+rN3cDwCYVevHirkFWDq7QOtmGQlH0dYPBNqj8PklRGIy3tsziPXbB9C4bwjDm7f5vQ6cvawUV55VhYKAeT+gydrEe3RrVxSyrNi2hJLto0dKn8nR917G7O2jgQwHOW1tbQCAmpqaEV+vrKzU/mwiFEVBKBSa1Noyye9W68h7gjFd19XZGwYA5PswrnWEw+ER/7aKPK+aWu3sixrq+TIWmbomSVlBa7daGlqaJ5vu92AUVn2NGM3Fqwrx4eMLsPtgFG/vHMKm3UPY1RrFrtYwdrWG8dcXOz7wN1wAmkd9rLpyD5bNDmDZrDzMm+qH2ykBiCEUsk6ptNHwdTI5BV4FLoc6+qC5LYjK4snd5Jv1enT2qiMPCnzGutfLhIlckzyvumPTpfO9TFe/el0CHuNdF0VRxnR+K6NBjriIHs/IswBerxf9/f0Tftx4PI7GxsZJrS2T+rokAE509oZ0Xde+VgcAB2JD3Whs7Br3329qasr4mvQU7AYAF9p7woZ6vozHZK9JzyCQSLrgcijobN2F7oOZWZddWe01YmTHVqn/DEaAne0SdhyUsK9bQvIwvQkkCagrUTCnWsHsagUleQkAISDchV07crp02+PrZOJK8pzoHJDw1ju7MasqM2fTzHY99rer9zLhYAcaG9v1Xk5WjOeaDPap95gHOwfQ2NiXrSUdVWvquoQMel0+GGuMJqNBjs+nngGIxWLa/waAaDQKv98/4cd1u92YNWvWpNeXKYHSKPBqMyIJF+bPn6PfQt45ACCE2TNqMH9+0Zj/WjgcRlNTE6ZPnz6p62I0ZX1x4MUmDEYdmDdvtqm6tGTqmmzaNQSgFbVlXixcMC1zC7QZq75GzGLFKF/jNTEeXpPJm/5eKzoHhuDKq8b8+cWTeiyzXo/YS/sAxLBobj3mzwjovZyMmsg1SfhDwFsHEFc8mD9/enYXeATyG/sBRDC3oQ7z5+Xrto7R7Nq1a0zfl9EgR5SpdXR0oL6+Xvt6R0cH5s6dO+HHlSQJgYBxnvhV5WpKeSCchNfnh1OnOtqBsLrrU1kamNDvx+/3G+r3Olm1HnXLN5FUIEteU9biT/aadA2owxanVlrr2urFaq8RK+A1MR5ek4mrrwpg/Y4hdAaVjP0OzXY9RBexmop8BALWbJgznmtSXaY2Pu4Pybpex2BYvaeqLM0z3PNprJvYGW0hPW/ePOTn5+Ott97SvhYMBrF161asWDHa3pw5FaZunhVFHcipl3R3NR7WAwCPy4HCgHpI2a4DQUXTgSmckUNEZHh277AWickYiqg302whrRLd1QbDScQT2ZsldjSck/MBHo8HV155Je6++248//zz2LZtG7761a+iuroa55xzTiZ/lK5cTgkFfn1n5SiKou1+mPkJmGmlNm8j3cIgh4jINMR7dYtNgxzRDdXrdiDgzfjoRlPK9zvhSP0q9BpVEovLCEfVAIvd1Yb5yle+gkQigW9961uIRCJYsWIF7r//frjd1orQi/JdGAgndQtyhiKyNkCPQU5aWYEbTW0R27aRZiaHiMg86lLv1R29McQSMjwue93oi+HdZYUuU52jzSaHQ0Jxngs9Awn0DSZQUZT7wd7i3tbllJDnM+9zMuN3x06nE9/4xjfwjW98I9MPbSjFeS60dEZ1C3JEqZrf64DXbd4nYKaVFqpPaTsGOdG4jM5+9b+bM3KIiIyvpMAFv9eBcFRGW08M9ZXWPJNyON2pz2ox545UxfnpIEcP6Rk5TlMHn7w7niCRvtPrCdiXGhJVwizOCOKN0o5nclq7o1AUNdUtziYREZFxSZKkZXPseC6nJ1VazkGgI4mz1vrdY5p/ECjAIGfCxIXXK5PD8zijEwcXe2x4Jmd4qZqZd16IiOxEO5fTacMgJ5XJKSvgvcxw4t6uV/dMjrmvC4OcCSrK1zuTI4Ic7n4Ml248YL9Mjghy6ngeh4jINOzcYU18VjOTM5IIcvp0Kr3vY5Bjb0V5+nZX62MmZ1SlBfY9k8OmA0RE5mPnIKdnIFWuxjM5I2hBjk73mFZoHw0wyJkwceH1DnJ4JmckrVxtIAFFUXReTW4xyCEiMh9bBzladzUGOcOV6Fwt1D+kzoBkJsemtMYDup3JUd8YzB5lZ5p4Y0gkFQR1HNSqB87IISIyH/Ge3TuYwFDEXp9b3cNaSFOaOIogMl25xsYDNqd344HOPvWNobyIux/DuV0OFKZKCe1UsjYQSiCY2nmZUp77nvpERDQxeT4nSlKl1nbK5kRiSYRSAydLWK42gri36+qP6fLzWa5mc8WpIGcglERSzn1ZVFdq90OPIVFGV1YgOqzZJ8gRWZzyIjd8HraPJiIyEzuWrIkuqD6PAwEvb0eHqyhW72OGIjJC0dxn9/qZybG3woB64RVF3UXPpVhC1lKJzOQcqkzrsGafNtI8j0NEZF52nJXTPax9NMcejBTwOrXAr6s/9xu2WiaHQY49OZ2SNnBRHNDKFVHD6nFJHPo4Cq2NtI3K1RjkEBGZlx1n5bB99JFVFKuVOrkOcqJxGeGYWkZYxHI1+9KaD+S4+8Xw8zjc/TiU1kbaRuVqnJFDRGRedi5XY/vo0ZWngr/OHJ/LEVkcl1MyfRmhuVevM72aD4ionudxRid+L506pHj1wkwOEZF5DQ9y7DL+QNy8i/MnNJL4veQ6k9M/bBCo2TfSGeRMQpFOfcxFtw2exxmdeGPo7NOnK0muybKCA13qfyuDHCIi86ku9cAhAeGYjF6d2gbnmqhK4Ybt6EQmJ9dBTrp9tPmPQzDImQS9MzkMckZXUSSCHHtkcrqDcUTjMpwOoKqEHxZERGbjcTlQmXr/brFJyRozOUdWrnMmx+ztowEGOZNSrFOQ08kg54jEYb2BcBJhHVov5pr4QKwp88LlNHdqmYjIruzWYU3L5DDIGVV5oT6l98PL1cyOQc4kaI0HeCbHUPJ8TuT51Ke2Hc7l8DwOEZH52an5QCwuozdVFlXJe5lRpc/k5Lb0vs8iM3IABjmTUpQvWkgzk2M0WvMBG5zLYZBDRGR+dsrkiM1ar9uBAo7CGJW4x8v1QFCWqxEAoDhPfQL257DxQCwua0/ACgY5h6U1H2Amh4iITGBKhX2CHPHZXFHMURiHE/Cmq1JyeS6nn5kcAtKdJ3KZyekaNgiUux+HJ87ldNig+QBn5BARmZ/YqDrYE0Myae020h2pKgtu1h5ZuVaVksMgJzXgvphBjr2JVN5AOJmzN6T0eRzufhxJpU3aSMcTMtp62T6aiMjsygvd8LgkJJIK2nut/dklbtori3ke50hEENgVzN3zgY0HCABQEHBBkgBFAYKh3GRz0u2j+cZwJHYZCNreG4MsA36PA6UF5n9DIiKyK4dDQm1qs8rqbaS19tHM5ByROJfTlcNMTh+DHAIApyNdMparkjUOAh0buwwEbelMn8dhZo+IyNzs0nwg3T6aG7ZHogU5wdwEOZGYjEhMBpAeeG9mDHImKddtpNlZbWxECryzPw5FsW5tcwubDhARWYZd2kh3cBDomJTneLi52LB3OSUEvOYPEcz/X6CzohwPBO3q5/CssSgrdEOSgHhCyXmL71xiZzUiIuuwQ5CjKIpWfsV5f0cmfj+5yuQMbx9theoQBjmTJLpP9A/mpoe5lskp5BvDkbicknZGxcod1hjkEBFZhx3K1QYjSYRTJVHcsD2ydCYnN6X3Vmo6ADDImbRcl6sxkzN2dhgIyiCHiMg6xHt5Z39cOxthNaL0qijPBa+bt6FHIoKcUFTGUCT7m+l92owca4wo4bNrkkQb6VyURA0fBFpeyCDnaKw+EDQUTaJnQH0+MMghIjK/wjwXCvzqDWZrtzWzOen20byPOZpcDwTVytXyrHFtGORMknYmZzD7QY6oyfS6OQh0LETXllwO0cql1lQWpzjfhXw/nw9ERFZg9XM5orqCDZTGRjuXk8Mgh5kcApDbxgPDZ+RY4UBYtlWm3kA7LFquNrx9NBERWcMUi8/KEZ3VOAh0bLQ20v3Zv5cZ3njAChjkTFIuy9W62D56XMotnskRu3x1DHKIiCyjriKVyem0ZpCTnpHDe5mxSAc5OcjkDLLxAA2jNR7IQbkaJwSPT6V2JseimRw2HSAishzLl6v1s330eGgd1nIQ5PSxuxoNJ54IA+EkksnsDp1kJmd8xBtoz0ACsYT1utSwsxoRkfVYvY20OJPDTM7Y5PZMjtrBrYjlagQABQEnxPGY/lB2sznc/RifojwnPC714nTnaJBWriiKwiCHiMiCasrU9/SBcBJBiw2zTsqK1kSJZ3LGJp3JyX5VSh/L1Wg4pyPd6Szb53KYyRkfSZK00j6rncvpG0wgFJUhSUBNGT8oiIiswudxaJ9dVsvm9AzEIcuA02Gdw+3ZVpGjMzmRmIxoXK16scq1YZCTAcU56rDGMznjl24jba1zOeKDr6rYA4+LL2MiIiuxaoc1seFYXuSB08EusWORq4Gg4h7W7ZLg91jjvsIa/xU6y0XzgVhcRjBVK8lMztiJmt8Oiw0EZdMBIiLrsmrzgQ6exxk3v9eJfJ9aMZTNbM7wUjWrjClhkJMBuWgjLZ7YXreDgx/HQTuwZ7FyNZ7HISKyLi2TY7E20uJeppJni8clF7NytBk5FjmPAzDIyQhtIGgWMznioF55kdsyEXYuiDbSVhsI2tyhfvBNrWCQQ0RkNeK9fX9nROeVZBYzOROTi1k5/RZrHw0wyMkILcgZyl6tpNZykaVq41Ke2i3KRX/5XNrfoX7wTa306bwSIiLKNPHe3tody/p4ilziINCJycWsHC2TY5GmAwCDnIzIReOB4ZkcGjttIKiFMjmxuIz2XvW/Z2olMzlERFZTUeSG1+1AIqngYI91StY4CmNicjErh5kcGpUYmtSXxSBH2/1gkDMuYrco211JculAVxSyAuT7nCix0I4LERGpHA5JK1kT5clWwEGgE5OLWTnpxgPWOffNICcDinKayeHux3j4PE4UpuYYWeVcTnOnKFXz8nwWEZFFiUy9Vc7lRGJJBEPqZiMHgY6PCApzksmx0OYpg5wM0FpID2Qzk6PeoLNcbfzKLTYQdL9oOsDzOEREliXe4/dbJJMjPoMDXgfyfNbJFuRCeWH2z+QMbyFtFQxyMkDcRA9GklkriRKZHJarjZ/YMcpmmjeX9neysxoRkdXVW6zDmnYeh1mccRP3meEslt63aw2urHN9GORkQJ7PqXWjONid+R2X6PBBoKxjHbeKYqtlctQPvHpmcoiILEvL5HRGoSjm77DGLrETl+2BoEORpHafWVPGIIc+oDb1pDjYk/lsQffwQaBM8Y6b2JWwwpmcpKygpUuUqzGTQ0RkVbVlXjgd6u69qOYws47URiPP40xMeXH2BoKKDfqSfBcCXuvcZzLIyZCaUvWGszULmZx0ipeDQCdCy+RYYFZOe28M8YQCt0viBwURkYW5nBJqylIlaxY4lyNKxtlZbWKyeS6ntVu9NlbK4gAMcjJGPDHEEyWTRNQunuA0PtqZHAuUq4kPurpyL5wOBrxERFYmzl6KMmUz4yiMyclmhzWxQS827K2CQU6G1JblJpND4yfeULv6Y0jK5q5r3q+1j+Z5HCIiqxNnL5s7LZDJ0WbkWCtbkCvlhaKJUvaCHHEvaxUMcjJEPDEOZiWTk5qRw0zOhJQWuOFwAEk53SLRrJpF0wF2ViMisjyrZHIURdFuziu5YTshFdk8k5M6T17LcjUajXhidAfjiMTkjD62eGMo5+7HhDidkhYgmr35AGfkEBHZx/AOa2bWP5RELKFAkoAybthOiDbzLwuZHNF4oIaZHBpNQcCFfL/akaKtJ7NvRjyTM3lWGAiqKMqwcjVrvREREdGhRCanbzCBgZB5KxFE04GSfBfcLt56ToS4B8z0mZxILInuoPrcqi231mY6n2kZVFOaneYDXTyTM2lWGAjaO5DAUESGQwKmlDPIISKyOr/XqZ0rbTZxhzWt6QArUiYsWwNBRalavt+JAr8rY49rBAxyMigbzQeicRnBUGoQKDuSTJgVBoI2p7I41aUeeLgTRkRkCyJzLzL5ZsRBoJOXrYGgYmPeaudxAAY5GZWNgaDiiezzcBDoZFhhICjP4xAR2c/UitS5HBNncjr6OQg0E8q1DdvM3csctGhnNYBBTkbVaB3WMvdGpHVWK+Ig0MmwQiZHdNeZys5qRES2obWRNnGHtXT7aGZyJkM7lxPM3L3MQW0QqPXuLRjkZFC6XC1zEbY2IZgp3klJn8kxb5Aj5iTUM5NDRGQb6XI182ZyeCYnM7KxYZuekWO9a8MgJ4NqUk+Qzr4YYonMtJEensmhiRNBYv9QAtF4Zlt85wozOURE9iPK1Tr6YhkfUZEr3LDNDDEQNJOZHBHk1JRa796CQU4GleS74PM4ICtAR29msjnajJwi60XYuZTvd8LnUZ/uZixZG4ok0TOgtnjkmRwiIvsoznehMOCEogAtXeYrWYsnZO3zi4NAJ6ciw2dyYglZu89kJoeOSJIk7UmSqZI1ZnIyQ5Kk9JuDCdtIi1rsskIX8tiAgojIVrShoCZsPtAzkICiAG6XhKI8a7UozjVxL5ipTE5HbwyKAvg9DhTnW+/aMMjJsEw3H+hiijdjKotEOaH5MjlaZ7UKZnGIiOxGlCnvN2HzgY5h7aPZQGlyxL1gV18ciqJM+vFataYDHkteGwY5GcZMjnFlOs2bS2I+gjiASkRE9qF1WDNh8wE2HcgcbSBoTEYoOvnzWa0Wbh8NMMjJOHFwKxMDQSOx9CDQCp7JmTTxOzRjhzUx6bqemRwiItsxcyZHlIjzPM7k+TxO5PvVkvVMbNhqTQcseB4HYJCTcbUZLFfrDqYHgeb5eKkmS2RyzDgQtEXL5DDIISKyG/He39odQzI5+TKlXOroYwOlTNLO5WRgw1bMyGEmh8ZElKu198Un/UY0vOWiFWslcy3deMBcmZxYXEZbj/pcYLkaEZH9VBS54XU7kEgqONhjro06kXFgJiczxLmcTNzLHGS5Go1HWaEbbpeERFKZdBcvnsfJrOGNBzJxYC9XDnRHIStAvs+JEgt2PyEioiNzOKR0yVqnuUrWxM04y+4zI1OZnGRSQVtvuvGAFTHIyTCHQ0JNaWaaD3QyyMko8XuMxmUMpM46mYHWWa3Sy4weEZFNiUy+2c7lMJOTWenzxZO7x+zojyEpAx6XhLICa14bBjlZINpIT7b5QBcHgWaUx53uA99holk54gON53GIiOxLfAY0m2hWzlAkiaGI2gWsgkFORmQqk9Papd4HVZd64HBYcwOVQU4W1KYyOQcnmcnp0lK8fGPIlOE95s1CtAwVpQpERGQ/ZixXE/cxBX4nfB4Oss6ETA0Etfp5HIBBTlZoHdZ6JrfbIjpqVZUwk5Mplak+/R0mCnK0TA7bRxMR2Zb4DNjfGTXNuVJtECizOBlTPWwjPZ6Y+Kwc0cCCQQ6NS7pcbeKZnOBQQvv7s+v8GVkXpXdAJlvLmitJWUFLV/pMDhER2VNtmQcOBxCOypPexc8VDgLNvOoSDwoDTiSSCvYcnHhWz+ozcgAGOVlRWy6i7ChkeWK7Ldv2hwAAdRVeFPjZUStTzJbJae+NIZ5Q4HZJzOgREdmY2+XQdt33m+RcjsjkVLLsPmMkScLcqQEAwLb9QxN+nFaWq9FEVBZ54HQAsYSC7oGJ3UxvTwU5c+sCmVya7VWVpgNQMxAfZHXlXjgtejCQiIjGRjuXY5IOa+KzVnz2UmaIIEfcK46XLKfnLTGTQ+PidKZ33SfafEBE5/PqGeRkkviAaDFJTbM4YMrOakREVC86rHWaY6NOK7fmmdKMmjc1DwCwrXliQU53MI54QoHTkZ4haEUMcrJEaz4wgYyBLCtadM4gJ7NqSlM1zTEZ3cGE3ss5qubUbl09O6sREdmemTI5sqzgQFe6GoEyR2RyDvbE0Dc4/nsZkcWpLvHA6bRulQiDnCwR6b+JNB840BXFUESG1y1hRhWbDmSS2+VATSrL1tJl/A+J9CBQ7oIREdmd+CzYb4JMTmd/HNG4ApeTZ0ozLd/v1ALeHS3jz+akmw5YO/hkkJMlNaUTHwgqmg7MnhKwdIStlymptHmLwQ9uKooyrFzN2m9ERER0dOLGtm8wgYGQsasRxBiM2jJrZwv0Iip9tjWPv/mAHTqrAQxysqa2bPJBjkhHUmZp53K6jB3k9A4kMBSR4ZCAKUz1ExHZnt/r1IZaNxt8o66lk+dxsindYW0imRzrz8gBGORkTW1ZuvHAeA+4i6ic53Gyo84kU6ObU+urLvXA4+JLlYiI0pl9o3+GiZK6Op4pzQrRfGD7/tC4x5UctEH7aIBBTtZUlXogSeoB9/6hsaeUI7EkmtrUNy7xBKbMqhvWYc3IeB6HiIg+SGRGjD4rR1RLMMjJjulVPnjdDoSi8rjOaCmKonX+rWW5Gk2Ex+XQUsrjaT6w80AYsgKUFbpRzuFZWSE+IDr64ojEZJ1Xc3iie85UfkAQEVGK1kba4B3WxJkcdlbLDqdTwuw6tTnVeObl9A0mEI6ppfCVFm8IwSAni2omcC5H9DxnqVr2FOW5UOB3ApjYmalcaWpPtY9mJoeIiFLqq9R7i33txg1yQtGkNqahjmdysmaedi5n7M0HxMZ7eZHb8qXw1v6v01ntBNpIa/Nx2HQgq4xe06woCvYcDAMAZtWyjTgREalmVKufCZ39cQTHUQ6fS6IcvCTfhfzUpiJlnrhXHE8mp9Um53EABjlZNd6BoIqioFE0HWCQk1WiW5lRz+W09cYwFJHhdkk8k0NERJo8n1PbRN2d2gwzmhY2HciJefXq2e2mtgjC0eSY/o5dmg4ADHKyqkYLcsaWyenqj6NnIAGHA5g1hUFONolzOUYNcna3qh9c06t8cHG+ABERDdOQyvCLzwqj0c7jMMjJKnF+W1bUM91jcbBHvSe1+owcgEFOVqXL1cZ2Iy16nc+o9sPn4aXJJqN3WNuVerNqYKkaERF9gPhs2DXGG9tcE53VOCMn++aNc14Oy9UoI2pK1SBnIJwc02TibTyPkzPDB4KOd45RLojduYYaBjlERDSS+GwwarmaaGnMQdbZpw0FbR5b8wFxTpyZnAnYuHEj5s6de8g/b731VqZ/lOH5PE6UFrgAjK35gDg4NpdBTtZVl3rhdACRmIyuYFzv5RxCfHAxk0NERB8kPhsOdEXHfBYjV5KyglaRyalkkJNtohvvtv2ho27aDoQSGAyrzxexEW9lrkw/4Pbt21FfX48HH3xwxNeLiooy/aNMobbMi56BBA72RI8YvCSSCna2qEHOfLaPzjqXU0JNmRctnVG0dEZRUWScF3vPQBy9AwlIEjCjhql+IiIaqaTAjbJCF7qDCexti2DBNOMMD+/siyGWUOB2SagsNs5nq1XNqg3A4QB6BxLo7I8f8XcuNtzLCl3weazf9S7jmZwdO3Zg1qxZqKioGPGPx2PPJ7pIBx6t+cDetjBiCQX5fqct6iSNoM6gHdZEqVpdhdcWb0JERDR+WsmawZoPiM/UKWVeOB1snJNtPo8DM1NtxcWsxcMRndVqbHKfmfEgZ/v27WhoaMj0w5pW7RgHgm5PPTHn1gXg4JtCTojmA0ablcPzOEREdDRG7bCmncdhZ7WcESVrR5uXIzI5dtlMz3i52s6dO1FSUoJLLrkE7e3tmDNnDr761a9i8eLFE35MRVEQCo190JGRlOWr/27pDB/xv2Hz3iAAoKHGnfX/1nA4POLfdlVZpAaTze1Hvja5MPyabG8eBADUV7h0X5dd8TViPLwmxsNroq+6MjXTv6NlCKFQyDDXo6lNPQBfXeyw/WdYrq7JjEr1dn5L08ARf+f7O9RrU14gmfraKIoCSTp6QmBcQU5LSwvOPPPMw/75Sy+9hIEB9Rf8rW99C06nEw888ACuvPJKPProo5g1a9Z4fpwmHo+jsbFxQn9Xb+F+AHChpSN8xP+GLXudACT4kp1obOzIydqamppy8nOMKjEAAC40HRwyzPOrqakJ2/erzwVntB2NjW16L8nW7P4aMSJeE+PhNdFHcggAXGhuj+D9LY1wpWpz9L4eO5sdABxAtAuNjZ26rsUosn1NnFEAcGF3a3jEc+GD9hxQ7y+SoQ40NrZndU3ZNpZjMOMKcqqqqvDkk08e9s8rKyuxfv16+P1+uN1uAMAxxxyDrVu34s9//jNuv/328fw4jdvtnnCApLf6SBK/en4PBqMSHAXTMbfu0BKkgVASXYN7AABnnDAbBYHsnsMIh8NoamrC9OnT4ffbtySqLpTEb17ag/6whBkNc3WdTSSuSWVNPXqHWgEApx4/GwV+nsnRA18jxsNrYjy8JvpSFAW/fnEPhiIy8stmorpINsT16HtqD4AkVi6ejlm19m6ek6vXiKIo+O3LezAYkeEvmTHq772tN46OgX0AFBx3zHTMNHFjo127do3p+8YV5Ljd7qOetyksLBzx/x0OBxoaGtDePvGIUZIkBALm7DgWCAAnLSrCa5v78f2/t+GeL85CTenIWsgt+9VStSnlXlSVF+RsbX6/37S/10wIBIDCPCeCQ0n0hByYVaz/76KtX02/Vha7UVWWu+cCjc7urxEj4jUxHl4T/cyqDeDdPYM40KNgRurwuZ7XYyiSRO+g2qK4oa4IAR836oDcXJN59XnYsGMATR0yFs8a+bMGwgl876FmRGIKZk/xY/6MElM3hRhLqRqQ4cYDr7zyCpYuXYr9+/drX0skEti2bZtpMzGZ8PWPTUVDrR/9Qwnc+oe9GAiPHAy6nUNAdWO0Dmt729R1cD4OEREdjdGaD4jP0tICF/IY4OSUGFPyweYD8YSM7z7QhJbOKMqL3Lj1UzNMHeCMR0aDnGXLlqGkpATf/OY3sXnzZmzfvh3f/OY30dfXh6uvvjqTP8pU/F4nbvvUDJQVurG/M4r/+cs+xBOy9uei5R+DnNybWqGmaw0X5LCzGhERHYUW5Bw0SpCjdiutY2e1nBP3kNv2D2lfUxQFP1vTgvf2DMHvceCOT6v3onaR0SAnPz8ff/jDH1BeXo5rrrkGn/jEJ9DX14cHHngA5eXlmfxRplNe5MYdV8+A3+PAu7sH8bM1LVAUBbKsYHtqCOg8DgHNOfFGbJQgZ48IcqYwyCEioiMTQc6e1jDko0y7z4WWLvUzrK7CvOc9zEpkclq7YwgOqRVDf3upA89u7IXDAdx8+TTMsNkGasZbSNfX1+OnP/1pph/WEmbW+HHTZdNw+5/24tmNvagt8+LkRUUYDCfhcUmYXm2vJ58RGGlWTjwJtHSqPexZrkZEREdTV+6FxyUhHJPR1hPXeznajBxRCk65UxBwYUq5Fwe6oti2P4RQJIk/PaN2aL3uoik4bm7hUR7BevRrJ2VTK+cV4rqLpgAA/vhMG3731EEAwOy6AFxOe9RIGkldubrbdKArClnWdxesvR+QFbUZQrmN0slERDQxTqekNRwQ5c56ElURU1mupgtRsvavN7rwo4fV8/GXrK7AhSfYs5qKQY4OLlxVjotPUp9wb2xVO6vN5XkcXVSXeuBySojGFXQF9d0FO9inBrkNNf4xdw4hIiJ7E+XNe3QOcpKyggNauRqDHD2IIGfDjgEkkgpOXFiEa86r0XlV+mGQo5NrLqjFqgXp1CGbDujD5ZRQU6oOlNrfoe8HhBbksFSNiIjGSHxm6J3Jae+NIZFU4HFJqCg++qBGyrzhZ7vn1PnxjUvr4bBJJ7XRMMjRidMh4cZP1GPRjDyUFLiwpCFf7yXZltZ8oEvfczmtDHKIiGicRDfOvW1R6Nl7QJSq1ZZ7bdOi2GhmVPsxvdqHqRVe3PqpGboOOTeCjDceoLHzeZz4wecaIMtqXS3pwwgd1pKygvZ+9X/PYpBDRERjNKPaB4cDCIaSGNBxr47ncfTndEr45Vfm8L4yxd4hngFIksQnos6MMCvnQFcM8aQEn0dCbRk/IIiIaGw8bgfqU59jrb363U+Iagh2VtMX7yvTGOSQ7Yk35P06Bjmilnp6ldfW9bNERDR+osy5tU+/NWjtozkjhwyCQQ7ZnihX6w7GEYomdVnD3nb1w2FGNXfAiIhofESQIxrY6OFAJzurkbEwyCHbKwi4UJSnHk8T7S9zTWRyGOQQEdF46R3kDIaT6B1MAGCQQ8bBIIcI6YOSepzLURQlHeRU8cOBiIjGRwQ5fSEJA+HcVyS0dKrnccoKXQh4nTn/+USjYZBDhPTOkx7ncjr64hiKyHBKCqZWMsghIqLxyfM5UVXiBgA06TAvh+dxyIgY5BAhHeQc6Mx9/81drWEAQGUR4GZHFCIimgBRCaDHUFBR6s3OamQkDHKIkG4jrUcmZ/eBEACgpljHKW5ERGRq4kznHh0zOZyRQ0bCIIcI6d2nA11RyHJug43dqUxOLYMcIiKaIBHk6JHJEWdy2HSAjIRBDhGAqhIPXE4JsYSCzv54Tn/27oNqkMNMDhERTdTMGjXAaO2OIRKTc/Zzk0kFrd0xADyTQ8bCIIcIgNMpobbMAyC9I5ULfYNxdAcTkABUF+fsxxIRkcWU5LuQ71MgK8DetnDOfm57bwyJpAKvW0JFkTtnP5foaBjkEKXocS5HlKrVlLrhdeXsxxIRkQWJsmfx2ZIL4jNzSrkXDgeb55BxMMghSqnTYVaO+CDiEFAiIpqsmmL137kMclq6Uudx2FmNDIZBDlGKHkHOLgY5RESUITU6ZHJaOCOHDIpBDlHK9Gr1DXrHgRCSyew3AVAUBVv3qe2jZ9bww4GIiCZnSon62bW3LYJQNJmTn7ltv/o5NoOfY2QwDHKIUmZU+5HvdyIclbEzNbsmm5o7ougOxuFxSZg3lR8OREQ0OSV5QHWJG4mkgvd2D2b95/UNxtHUpparHTMjP+s/j2g8GOQQpTgdEhbPVN+k38nBh8OGHUEAwOKZ+fC6+VIkIqLJW9IQAABs3DmQ9Z/17h71s3JmjQ9FeeyeQ8bCOyuiYZY0qEHOuzkIcjbuUD+Als0uyPrPIiIiexBBzoYdOQhyUp+VSxr4OUbGwyCHaJhjU0HO1n1DiMWzN0wtEkvi/b1DAIDj5vDDgYiIMmPR9ABcTgltPTG0dmW3kY4IcsRnJ5GRMMghGmZqhRclBS7EEop2mDIb3tszhERSQWWxW+vqRkRENFl+jwMLp+UByG42p6MvhtbuGBwOYOH0vKz9HKKJYpBDNIwkSTg2B+dy3k7VSi+fUwBJ4vA0IiLKnOWpCoGNqbOf2SCyOHOmBJDnc2bt5xBNFIMcog9In8vJ3g6Y2F1bPqcwaz+DiIjsSZRBv7tnCLFEdkqvWapGRscgh+gDxBv29v0hhLMwZ6CtJ4oDXVE4HOmAioiIKFOmV/tQWuBCNC5jS9NQxh9fURStsxqDHDIqBjlEH1Bd6kVViQdJGVn5cBBtPRfU5zHFT0REGSdJ0rCStcxXJbR2x9DVH4fLKWHBNJ7HIWNikEM0CrEzJXaqMklrHc2uakRElCViPEE25uWIUrUF0wKc80aGxWcm0Si05gO7MhvkxBOy1tCAraOJiChbls0qgCQBTW0RdPXHM/rY76TOrB47k59jZFwMcohGITI5uw+GMRBKZOxxG5tDCEdlFOW50FDjz9jjEhERDVeY58KcOnUw6NsZzObIMs/jkDkwyCEaRVmhG1MrvFAU4L29mTuXo5Wqzc6Hw8HW0URElD3LZ2e+lfS+9giCQ0n4PA7MqeNmHRkXgxyiw8hGK2lRG30cW0cTEVGWibLot3cNIikrGXlMUXK9aHoe3C7eRpJx8dlJdBha84EMDQXtHYhjd2sYgJrJISIiyqY5dQHk+5wYDCexoyWUkcdkqRqZBYMcosM4ZkY+JAlo7oiiZ2DyhzZFTfSsWj+K892TfjwiIqIjcTolLE1tqmWilXQyqeD9VJDDOW9kdAxyiA6jMM+FmanmAO9lIJuzIfUBs5xd1YiIKEfEZ86GDAQ5u1rDCEVl5PudmMHmOWRwDHKIjiBT83JkWcHbuxjkEBFRbol5OTtbQggOTa5bqDijunhmPpxsnkMGxyCH6Ai0eTmTzOTsag0jOJSE3+vA/HpOhyYiotyoKPJgepUPsgJsmmQjHfFZKD4biYyMQQ7RESyakQeHA2jriaG9NzbhxxG10Esa8uFycveLiIhyZ9kc0Up64kFOLCFj6z51pAKbDpAZMMghOoKA14m5qWFq70xiB4yto4mISC/HDQtyFGViraS3NYcQjSsoyXehvtKbyeURZYVL7wUQGd2xDflobA7h3d2DOPe4snH//cFwEo3N6u4Xz+OMXTKZRDw++a52ExGNRrV/OxzcCzICXhPjMcI1cbvdcDqduvxsM1k4LQ9etwM9Awk0tUUm1DRAjFM4tiEfksSKBDI+BjlER3FsQz7+9mIH3t09CEVRxv3m/s7uAcgyUFfhRVWJJ0urtA5FUdDW1oa+vj7d1iDLMlwuF1pbW3lDbRC8JsZjlGtSXFyM6upq3ngfgcftwOKZeVi/fQAbdw5MLMjhfBwyGQY5REexoD4PbpeEnoEEWjqjmFrpG9ffFzXQy2czizMWIsCprKxEIBDQ5cYlmUwiGo3C6/Vyl9ggeE2MR+9roigKQqEQOjo6AAA1NTU5X4OZLJ9TgPXbB7BhxwA+dkrluP5uJJbEtlRFAufjkFkwyCE6Co/bgQXT8vDu7kG8u3twXEFOcCiBN7YGAbBUbSySyaQW4JSVjb80MJPrAACfz8cbaoPgNTEeI1wTv1/NSHR0dKCyspLPjSNYPrsQQCu2NA2hpTOKuoqxn6vZ0jSEpAxUlXhQXcrzOGQOzPkTjYFIz78zjnk5iqLgp/9oQf9QAnUVXqb4x0CcwQkEAjqvhIjMQrxf6HWGzyymlHuwdFY+EkkFP3hoHxLJsTcgeGc3S9XIfBjkEI3BktRMgA3bg9h1IDSmv/PMxh68tqUfTgdw4yfq4XHx5TZWrK0norHi+8XYSJKEr35sKvL9Tuw8EMYDz7WN6e919sXw/KZeAJyPQ+bCuy6iMZg7NYCls/IRjSv49h/3oqPvyDNzWruiuPdfrQCAT51Tg9lTmJkgIiJ9VRR58JWL6wAAf3+5A5v3Hrk6YSiSxLf/sBe9AwnUV3px4kKOQSDzYJBDNAYOh4RbrpiO6VU+9A4k8O0/7MVgODnq96qlAM2IxGQcMyMPH11dkePVkhG8//77OP/887Fo0SJ8//vf177+3e9+F3/4wx+O+vfD4TAuuOACtLa2ZnGVh9fY2Ii5c+fiqaeeGvH1SCSCH/3oRzjjjDOwdOlSXHLJJXj++eeP+nibNm3C+eeff9Tv27hxI+bPn3/I1/v6+nDLLbfghBNOwMqVK3H77bcjHA6P/T9onGRZxmc/+1n87Gc/O+TP/v3vf+OCCy7A4sWL8R//8R944403jvp43/72t/HrX/96UmuaO3cuHn300XH9ncHBQZx//vloaxvbrj0AfPGLX8RFF110yNfffvttXHXVVVi+fDlWr16N//7v/0Z/f/9RH++aa67Bk08+edTve+yxxzB37ly0tLRoX7vzzjvH9HqhsVt9TDHOXl4CRQF++Pfmw36WxRMyvvtAE5raIygtcOE7/zkTPg/PPJF5MMghGqM8nxN3XD0DpQUu7GuP4LsPNCGekA/5vgdfaMf2lhDyfU5849J6OB0spbCjX//613C73XjyySdx7bXXAlBv4NeuXYsrrrjiqH/f7/fjs5/9LL71rW9le6mj+uMf/4iysjL88Y9/HPH17373u/jXv/6FW2+9FWvWrMFZZ52FL3/5y3jrrbeO+Hgvv/wyTj311CN+z8aNG/HFL34Rsnzo6+r6669Hc3Mzfve73+EnP/kJXn75Zdx2223j/u8ai1gshptvvhmvvvrqIX/25ptv4hvf+AY++clP4h//+AdWrVqFa6+9Frt37x71sV5++WXcfPPNCAaD6OjowDe/+U289957E1rX2rVrccEFF4zr7/zgBz/ABRdcgOrq6jF9//79+/Hqq6+ivb0dr7/+uvb1vXv34pprrsHcuXPx97//Hffccw/ee+893HjjjUd8vHA4jLfffhsnnXTSEb/vwIEDuOOOOw75+pe//GXcf//92Ldv35jWT2PzhYumoLrUg46+OH7xz5ZD/lycKX1n9yB8Hgduv3oGKos5AoHMhUEO0ThUFHtw+9Uz4Pc48O6eQfzk0ZYR06M3Nw3ioRfbAQBfvngKKvihYFv9/f2YP38+6uvrUVJSAgC45557cNVVV8Htdo/pMT7ykY9g+/btY8oUZFJXVxeeeOIJ3HPPPdiyZYt2Ux4Oh7FmzRp87Wtfw6mnnopp06bhi1/8IlauXIlHHnnkiI/5yiuv4JRTThn1zxKJBL73ve/h05/+NKZMmXLIn2/atAnr1q3D7bffjgULFmDVqlW444478M9//hPt7e1H/e+56aabcNNNN43hv1zNVlxyySXYsGEDCgsPLc257777cNZZZ+FTn/oUGhoa8M1vfhMLFy48JBgUZs+ejUWLFuHll1/G008/jZUrV6K2tnZMa/mgiooK+Hxj7+64b98+rFmzBp/61KfG/Hf+9Kc/4bTTTsPHPvaxERmUNWvWoLKyErfccgsaGhpw3HHH4b//+7+xfv167N+//7CP98Ybb2DevHkoKio67PfIsoxvfOMbWLhw4SF/VlhYiAsvvBC/+MUvxvzfQEcX8Dpx4yfq4XAAL73bhxff6R3x5395vh3Pvd0LhwO4+fJpmFXLkmsyHwY5ROM0qzaAmy+fBocDeH5TL/78nHqTNRRJ4u6/74esAGcuLcGpi0t0Xinp5YwzzsC6deuwZs0arfzmvffew8aNG3HuuecCUHfMly1bhu985zva33vooYewcOFCvPvuuwAAp9OJc889F7///e8P+7Pmzp172H9Gy64Eg0Gceuqp+MIXvqB9be3atZg3bx6efvppAMBf//pXLFiwAMcffzwuuOAC7QZekiTce++9hwQrDocDwWDwsGvs7OxEU1MTjjvuuFH/PBQKYf369fjtb3+LK6+88pA/37BhAyoqKjBz5kztaytXroQkSdi4ceNhf+5EvPzyy1i9ejXWrFmDgoKRbd9lWcbbb7+NVatWjfj68ccfj/Xr14/6eLW1tWhubsYZZ5yB+vp6dHd3o7y8fNTvbWpqwjXXXIPly5dj6dKluOaaa7B9+3btz4eXq4nA7fvf/z5WrVqFY489Fp///OdHBH1/+MMfcMIJJ2gBxu9+9zssWLBAC1plWcbll1+OSy65BLFYDIODg3jkkUdw6aWX4rLLLsPatWuxZ88eAMCHP/xhfP/73x9xyF8MAD3StR9LBu/ee+9FPB7H5z//+VH//IILLsCTTz45poCWxm5+fR4uP6MKAPDzNS1o71XPmj67sQd/eV79XX/pI3VYMZfncMicGOQQTcBxcwvxX/+hHt786wvteHpDN3712AG098ZQXeLBdR8+dDeaJk5RFERiyRz+Iw/7JzkiWzcWDz/8MJYuXYrzzz8fa9euRU1NDZ5//nksXLhQu8GdOnUqbr75Zjz44IPYuHEjmpqacNddd+ErX/kKjj32WO2xTjvtNLz++uuHPX+ydu3aw/6zdOnSQ76/sLAQd911F1566SU8/vjj6O3txU033YRLL70U5557LmKxGP72t7/h0ksvBQBcdtllePrpp9He3g6fz4eTTz4ZxcXF2uO99957ePPNN7F69erD/j5eeeUVHH/88fB4Rs9sFhYW4tFHH8UJJ5ww6p+3t7cfUm7l8XhQXFyMgwcPHvbnTsRXv/pVfPOb30R+/qFdpILBIEKh0CFrqaysPOKZl1WrVuGWW27BXXfdNeo1Eb72ta+hqqoKjzzyCP7v//4PDocDX/7ylw/7/Y8//jj6+vrwwAMP4L777sOWLVvwv//7v9qfP//88yMCjKuvvhrLly/HLbfcgng8jvvuuw+NjY348Y9/DI/Hg4cffhjFxcU4+eSTMXXqVJx44on405/+BABoaGjAkiVLRvz8+++/H+Xl5ZgzZ85h1/jqq68eNoMHqM+f3/3ud/jhD3942Bk3xxxzDIqLi/HKK68c9nFoYj55WhUWTAsgFJVx99+bsWF7ED95VM3MfeK0SlywUr95ZUSTxWGgRBN03ooytPfG8LcXO/DTR1sgK4BDAm64tB55Ph7OzBRFUXDDr3dh676xte7OhgXTArj787PG3Kq2tLQUbrcbPp8PFRVq44l33nnnkJvBj33sY3jxxRdx6623IhAIYPHixfjc5z434nvmzJmDeDyOLVu2jJoJEY8/HqtWrcJVV12FO++8E8cccwyKiopw8803A1BvnKPRqHb249hjj8WcOXPwwAMP4Otf//qIx9mzZw++9KUvYfHixVpQNJpXXnnlqLv5RxIOh0cNkLxeL6LR6Kh/59vf/jb+9a9/AVDP2ADQMlUXXXTRqOc/jiYSiQDAIWs50joAaP/tpaWlqK+vP+z3NTc348QTT8SUKVPgdrtx5513Ys+ePZBlWcuaDFdQUIA77rgDbrcbDQ0NuOCCC/Dyyy8DAA4ePIj29nbMnTtX+36Hw4G77roLH/7wh3HLLbfgySefxHe+8x1Mnz4dsizjgQcewMc//nHteX755Zfja1/7Gq6//voRgS0AfP/738dLL72EH/3oR4ctv9y1axdisdiojSQANYN3ww034IYbbsD06dOPmKmZNWsWNm3ahI9//OOH/R4aP6dTwg2X1uNLP92BzU1D2PrHvZAV4LRji/Gps8d2jovIqBjkEE3Cp86uRntvDC++0wcA+OTpVVg4PU/fRZEhdXV1YfHixYd8/Tvf+Q7OP/98RKNRPP3004fczJaWlgJQS75Gc6TMwH333XfYErEbbrgBr7zyCl566SWsWbNGO+txySWX4JJLLhnxvaN19Hr77bfxxS9+EdXV1bj33nsPe6ObSCTw+uuv45vf/OZh13k0Pp9PC1SGi0ajhx0c+//+3//DNddcAwC4++67Aaj/zQBGzdKMhderTnr/4Fqi0Sj8fv+EHnO4r371q7jzzjvx4IMPYuXKlVi9ejUuvPDCUQMcAKivrx/xey8oKNAGYorni3j+CFOmTMHNN9+Mm2++GWeddRYuvvhiAGoA9Nxzz4343jPOOAPvvPPOiK/F43F8+9vfxpo1a3D77bfjtNNOO+x/jyj9O9zmwHe/+13MmDEDn/zkJw/7GEJpaSm6urqO+n00fjWlXnzxw1Pwo/9Ty62PmZGHr35sKhxsmkMmxyCHaBIkScL1H50Kv9cJRVFwWaq+mTJHkiTc/flZiMYP7biVLcmkjEgkAp/PB6fTAa/bMemBgw6HA8nkoa1am5ubMTAwAEANHD7YZln8ncPd6K5Zs+awP7Oq6vDPx46ODnR2dsLlcmHt2rWH3W0fzTPPPIMbbrgBxx57LH75y18ecnZluE2bNqGqqmrCh+0BoLq6+pAb8Fgshr6+PlRWVo76d8rKylBWppba5OWpGw/Tpk2b8BoAoLi4GIFAAB0dHSO+3tHRccTf9VhdccUVOO+88/Dyyy/jjTfewE9/+lP86le/wpo1a0Y9x3O48j8g/XwZrVPd5s2b4XK58P7776O/v/+ITQGGGxwcxJe//GVs2LABP/7xj3HOOedo2a3RvPzyy7j88ssP++ePPPIIPB6PFqiL5/qFF16IL3zhCyPOjSWTycO+BmjyzlxagvaeGPZ1RPBfF9dxeDVZAoMcoknyuBza+RzKDkmScjqfIZkEIDvg8zgOe05gvCoqKtDbO7KDUSgUwo033oiLLroItbW1uO2227B8+fIRN+7d3d0AcNib+YncuMuyjBtvvBELFy7Ehz/8Ydx+++1YvXo15s2bd9S/+8ILL+CrX/0qzjzzTNx9991HvNEG0rv5k7FixQrcfffdaG5u1kr+1q1bBwBYvnz5pB57PCRJwrJly7Bu3boRZVNvvfXWYTNmY9Xd3Y1f/OIXuPbaa7VsWnt7O0455RSsW7du3K2jRRljT0/PiK+/+uqr+Otf/4p7770X3/ve93D77bfjxz/+8VEfLxaL4fOf/zwaGxtx//334/jjjx81aBcGBwfx3nvvHbEr2jPPPDPi/7/77rv4xje+gd/85jeHlHb29PRgxowZR10nTYwkSbjiLJankbUwyCEiyoHFixfjhRdeGPG1u+66C6FQCDfffDP8fj+eeeYZ3Hzzzfjtb3+rfc/WrVvh9XpHnK2YLHHg/LHHHkN9fT3+/e9/48Ybb8TDDz98xKClv79fa5l8yy23jBgE6Xa7Dzm3AahBzi233DKp9R577LFYtmwZ/r//7//Dbbfdhkgkgm9/+9v4j//4jzFlUO66665J/fzh/vM//xPXXnstFixYgFNOOQWPPPIIGhsb8T//8z+TetyioiK89NJLaG5uxte//nXk5+fj0UcfhdvtxqJFi8b9eFVVVaipqcHWrVuxcuVKAOpA1ZtvvhmXXnopTjvtNOTn5+PKK6/EGWecgQsvvPCIj/frX/8aGzduxI9+9CPMnDkTnZ2dSCaTiEajqKysPKRc7/XXX8eiRYuOmOX7YIAumjfU1taOeC7Jsoxt27bhIx/5yHh+BURkc8xHEhHlwFlnnYWdO3dqO+svvfQSHnroIdx2220oKiqCx+PBnXfeiddeew1/+ctftL/31ltv4cQTTzzs2ZPxamxsxM9+9jNcf/312iH4O+64A/v378c999xzxL/7yiuvIBgM4t1338Upp5yCk08+Wfvnv/7rvw75/ra2Nhw4cGDS2RZJkvCTn/wEU6ZMwdVXX43rr78ep5xyStaGgR7JySefjDvvvBN//etfcfHFF+PNN9/Evffei4aGhkk9rsvlwn333QeHw4Grr74aH/rQh/D666/jN7/5zRGbFRzJmWeeiTfffFP7/7feeiucTqc2wPO4447D5ZdfjjvuuOOo7Zkff/xxKIqCr33ta9o1P/XUU3HOOecccm4HOPJcpPHaunUrhoaGcPrpp2fk8YjIHiRlvL1Rc+z9998HoLaQpMwIhUJobGzE/PnzM3bjRJPDa6KKRCLYu3cvZsyYMa6hh5mWTCaHncnJXJncZZddhrPOOks7EH80sVgMq1evxj333IMTTzwxY+swo2xdEyvbs2cPPvKRj+CFF16YUBe+o8nVNbnjjjsQDAa1BhIfZJT3Db3xc8R4eE2yY6yxATM5REQ5cv311+PBBx8ctVPYaNasWYM5c+bYPsChiZk5cyYuvPBCPPDAA3ovZcJ6e3vx1FNP4Utf+pLeSyEik2GQQ0SUI8cffzxOOeUU/PnPfz7q94ZCIdx///248847c7AysqqbbroJTz31VMaHpubKL37xC1xzzTVsOkBE48bGA0REOXTrrbeO6fsCgYA2vJJoooqKikz9PPrWt76l9xKIyKSYySEiIiIiIkthkENERERERJbCIIeIDMfgTR+JyED4fkFEo2GQQ0SG4Xa7AaiH7omIxkK8X4j3DyIigI0HiMhAnE4niouL0dHRAUA9fC9JUs7XISa5izWR/nhNjEfva6IoCkKhEDo6OlBcXMznBRGNwCCHiAyluroaALRARw+yLCORSMDlcsHhYMLbCHhNjMco16S4uFh73yAiEhjkEJGhSJKEmpoaVFZWIh6P67KGcDiMPXv2oL6+Hn6/X5c10Ei8JsZjhGvidruZwSGiUTHIISJDcjqdut28yLIMAPB6vfD5fLqsgUbiNTEeXhMiMjLm/ImIiIiIyFIY5BARERERkaUwyCEiIiIiIkthkENERERERJYiKQYfFfz2229DURR4PB69l2IZiqIgHo/D7XbrMoOEDsVrYiy8HsbDa2I8vCbGwuthPLwm2RGLxSBJEpYtW3bE7zN8dzU+KTJPkiQGjQbDa2IsvB7Gw2tiPLwmxsLrYTy8JtkhSdKY4gPDZ3KIiIiIiIjGg2dyiIiIiIjIUhjkEBERERGRpTDIISIiIiIiS2GQQ0RERERElsIgh4iIiIiILIVBDhERERERWQqDHCIiIiIishQGOUREREREZCkMcoiIiIiIyFIY5BARERERkaUwyCEiIiIiIkthkGNz999/P84880wsXrwYl1xyCd588029l0QpGzZswPz58/HWW2/pvRRbO3jwIL72ta/hpJNOwooVK3DNNddg586dei/LNmRZxk9/+lOsXr0aS5Yswec+9zns379f72XZWl9fH7797W/jlFNOwbJly3DZZZdhw4YNei+LAOzduxdLly7Fo48+qvdSbG/NmjW44IILcMwxx+BDH/oQ/v3vf+u9JNthkGNjv/zlL/Hzn/8cX//61/HYY49hyZIluO6663gDYQADAwO48cYbIcuy3kuxtVgshmuvvRadnZ2499578eCDDyIvLw+f/vSn0dPTo/fybOGXv/wlHnzwQXznO9/B3/72N8iyjM9+9rOIxWJ6L822vva1r2HTpk348Y9/jEceeQTz58/HNddcgz179ui9NFuLx+O44YYbEAqF9F6K7f3zn//ELbfcgiuuuAJPPPEELrzwQu11Q7nDIMemQqEQ7rvvPtxwww244IILMH36dNxyyy2YOnUqNm7cqPfybO+2227D1KlT9V6G7W3YsAE7duzA3XffjWOOOQazZ8/GD3/4Q4RCIbzwwgt6L8/yYrEYfve73+ErX/kKTjvtNMybNw/33HMP2tra8Mwzz+i9PFvat28fXnvtNdx222047rjjMGPGDPz3f/83Kisr8a9//Uvv5dnaz372M+Tn5+u9DNtTFAU/+clP8KlPfQpXXHEF6uvrcd111+HEE0/EunXr9F6erbj0XgDpY+PGjQiHw/jQhz6kfc3pdOKxxx7TcVUEqDtAmzZtwq9+9St8+MMf1ns5tjZ79mz85je/QVVVlfY1h0PdGwoGg3otyza2bduGoaEhrFq1SvtaYWEhFixYgPXr1+PCCy/UcXX2VFJSgt/85jc45phjtK9JkgRJkvia0NH69evx0EMPYc2aNTjttNP0Xo6t7d27FwcOHMBFF1004uv333+/TiuyL2ZybGrv3r0oKirC9u3bcdlll2HVqlW46qqr8Pbbb+u9NFtraWnB//zP/+AHP/gB8vLy9F6O7VVUVODUU08d8bU///nPiEQiOOmkk3RalX20tbUBAGpqakZ8vbKyUvszyq3CwkKceuqp8Hg82teefvpp7Nu3D6tXr9ZxZfYVDAZx44034lvf+tYhrxXKvb179wJQK2auueYarFq1Ch//+Mf///bu3SW9Po4D+Fui0i4EORgJDRldISiM/oBIXIqiIYikO0GYDVnShYpuFBoN1WYXUKiGwqGCsKAlIoguQw0RtLhoNRSBRsHvGXqUn0/0OHVOnPN+TXq+yxu+i+/zOd8jp/8i4CRHonw+HyoqKr5d7+npQSgUwsjICHp7e5GZmYnNzU00NTXB4/FAp9MJmFYeYu3J8fEx+vr6UF9fD71eD5/PJ2A6eYq1JycnJ0hPT49893q9mJubQ3NzM/Ly8oSIKGvBYBAAon5QA0BiYiKen5/FiET/cX5+joGBARgMBk4QRDI2NoaSkpIvkwMSx+vrKwDAZrPBbDbDarVif38fXV1dWF1djZpM089iyZEojUaDvb29b9cPDw8RCoUwODgYuVNdVFSEi4sLuN1ujI6OChVVNmLtycbGBoLBILq7uwVMJW+x9iQtLS3yeX19HRMTE6iurkZ/f78Q8WRPqVQC+DybE/4MAG9vb1CpVGLFon8dHBzAarWitLQUDodD7Diy5PF4cHZ2xvNQv0h8fDwAoK2tDbW1tQCAgoIC3NzcsOQIjCVHouLj4/93GnN9fQ0AUXejFQoFdDodJwg/JNaebG9vIxAIoLy8HMDn4UUA6OjoQE1NDcbHxwXJKSex9iTMbrfD6XSipaUFNpsNCoVCgHQUfvQmEAggKysrcj0QCHCSJjK3242pqSkYjUbMzs5+mbaRMLa2tvD09PRlijY6Ooq9vT04nU5xgslY+Axnbm5u1PWcnBwcHR2JkEi+WHJkSq/XQ6FQ4PLyEkajEcDnj+q7uzveZRCJy+XCx8dH5Lvf74fJZMLk5CTPf4goXHBsNhtaW1vFjiMr+fn5SElJwenpaaTkvLy84ObmBo2NjSKnk6/wK71NJhOGhoZY+kXkcDgQCoWirhkMBlgsFr64RiRFRUVITk7G1dUV9Hp95Prt7W3UzRr6eSw5MpWZmYm6ujpMTk5CpVIhKysLLpcLPp8PDQ0NYseTJa1WG/U9Li4OwOddIbVaLUYk2Ts9PYXT6YTJZEJVVRUeHh4ia0lJSXw5xA9LSEhAY2MjHA4H0tPTodVqYbfbkZGRAYPBIHY8Wbq/v8f09DQqKyvR2dmJx8fHyJpSqURqaqqI6eTn7zc//k2tVn+7Rj9LqVSivb0dS0tL0Gg0KC4uxu7uLo6Pj7G2tiZ2PFlhyZGxsbExLC4uYnh4GM/PzygsLMTKygqys7PFjkb0K+zs7AD4nLK5XK6oNbPZzPNTArBYLPj4+MDw8DBCoRDKysqwvLwcee6dhLW/v4/393d4vV54vd6otdraWszMzIiUjOj36Orqgkqlwvz8PPx+P3Q6HRYWFiKPo5MwFH/CD/4TERERERFJAP8nh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJIUlh4iIiIiIJOUfJFWAfNqnsRYAAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = lambda x: (x**2) / 10 + 10 * np.sin(x**2 / 4)\n", - "df = lambda x: x / 5 + 5 * np.cos(x**2 / 4)\n", - "plt.figure(figsize=(10, 6))\n", - "plt.plot(\n", - " np.linspace(-7, 7, 100),\n", - " f(np.linspace(-7, 7, 100)),\n", - " label=\"f(x) = x^2 / 10 + 10 * sin(x^2 / 4)\",\n", - ")\n", - "plt.legend()\n", - "plt.savefig(\"../img/f_sin.png\")" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "tangent_plot(f, df, 1.5, label=\"f(x) = x^2 / 10 + 10 * sin(x^2 / 4)\", figsize=(10,6), x_range=(-7, 7))\n", - "plt.ylim(-10, 20)\n", - "plt.savefig(\"../img/fx2_tangent_sin.png\")" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "x0 = 3\n", - "eta = 0.1\n", - "\n", - "def gradient_descent(f, df, x0, eta, n_iter=100001):\n", - " history = [x0]\n", - " x = x0\n", - " for _ in range(n_iter):\n", - " x = x - eta * df(x)\n", - " history.append(x)\n", - " return history" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[3,\n", - " 2.4049787068367863,\n", - " 1.9330097072362469,\n", - " 1.5608789659531959,\n", - " 1.2696983177524013,\n", - " 1.0438502898493278,\n", - " 0.8702898714355444,\n", - " 0.7381149096244586,\n", - " 0.638293344362765,\n", - " 0.5634539853885501,\n", - 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} - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.12.3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -}