{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
Manim Community v0.18.0\n",
       "\n",
       "
\n" ], "text/plain": [ "Manim Community \u001b[32mv0.\u001b[0m\u001b[32m18.0\u001b[0m\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from manim import *\n", "from manim_geometry import *\n", "\n", "config.media_embed = True\n", "config.media_width = \"100%\"\n", "_RV = \"-v WARNING -qm --progress_bar None --disable_caching\"\n", "_RI = \"-v WARNING -s --progress_bar None --disable_caching\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Intersections\n", "\n", "## Line-Line intersection" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class Example(Scene):\n", " def construct(self):\n", " self.add(NumberPlane().fade(0.7))\n", "\n", " geos = Geos(self)\n", " init_geos = {\n", " \"l1\": Line(LEFT*3, RIGHT*3),\n", " \"l2\": Line(LEFT*3, RIGHT*3).rotate(30*DEGREES).shift(RIGHT),\n", " \"l3\": Line(LEFT*3, RIGHT*3).rotate(30*DEGREES).shift(LEFT),\n", " \"dX\": geos.intersection_lines(\"l1\", \"l2\", color=RED),\n", " \"dY\": geos.intersection_lines(\"l1,l3\", color=BLUE),\n", " }\n", " geos.create_geos(init_geos)\n", "\n", " self.add(geos.get_all_mobs_as_grp())\n", "\n", "%manim $_RV Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Circle-Circle intersection (Also work with Arcs)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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/wcfczltTXkbBnu3k7dhC3s7N5GxaQ0maCkTNVXlOJuU5maQtm193n29ENGEduxLasSthnboS0a0P3oHBdY8HxrcmML41bSdd7DpHbhY5m9aQsXopacvnU56t4q6IiEhTUwFQRESkCdgsZoa1iGRsXAvGxEbRLSyEPxvVkV1RyZKMHBZnZrM4I4dNeQXYnc4mzSuNK62snLRD5fxyKA1w9QvsHhbCsBYRDG0RyeDoCCJ/t3U4xs+Hi9rEc1GbeBxOJ5vyCpmTlsmctEwWZ2TXf1u3yUSL/kOJGzQSnwFDAejjH07q0nlkrF4C9fz6Mnt5E9VrAC36D6FF38GEJHaCPxk+U1mQR/bG1WRtWEX2xtUU7NmB03F690B0d+U5maTmZJK6dC7g6hcY0q4TUT37E9mzP5Hd+2IL+W16tm94FAkjJ5IwciJOh4OCPTvIXLOUjNVLyNqwStu6RUREmoAKgCIiIqdInJ8vExJimBDfgjFx0fj/Sc+zrIpK5qVlsijDVfDb/ifDKMRz2J1O1ufmsz43n1e37sYEdA4JYmjtNvCRsVF1vQTNJhM9w11Tnu/r1pGS6hrmpGUyIzmd6Snpx+0fGNKuMwMeeZHQDklH3N8+vg3tL7yG/F1bWfnMAxTs3XHM8/hGRhM7cCQxA0fQot9grD5+Rz2uIj+XzLXLyF6/kqyNq/90GIV4DqfDTv6ureTv2srObz4Ek4mgVolE9exPVM8BRPUZWNdL0GQ2u7YUd0ii0xU3U1NeRsbqJaQvX0DasvnqHygiInKKqAAoIiLSiHpHhHJuyzgmJcTQI/zoq/xKa2pYkuHa3jknLYvNeQVofd/pzQl1k4jf2bEXE9A9LIQxcdGMioliaItI/KyuCa0BXlbOaxXHea3icALrc/KZlpLOTwfTWJ975CTcyO59Gf7yh1h9j16sAwjt0IUxb3/LwnuvJ3vTmiMeC+vYlbhh44gdOJLQ9p2PusqvpqKM7I1ryFy9lIw1S12FRK1YPb05nXWTiPf88AWYTIS260x038FE9x1EVI9+WHxcfTGtvn7EDxtH/LBx4HSSt2sr6cvmk7J4Nvm7thr8iYiIiHgOFQBFREROgsVkYnB0BOe1iuPcVnG0Cjh6oWVbQRHTk9OZkZLO8sxcqhyazCt/zgl1A0Ze3rwTm8XMwKgIzoxvwcSEGJJCggAw4So6944I5bGeSRwoKeWHg6n8cCCVdZUOhjz71jGLf4dZff0Y/Myb/HrNBIJatSN++Djiho7Fv0XcUY8vOrCHtGXzSVs+n5wt63BUVzfiZy8ex+msGzCy48v3MHt5E9GtN7FnjCB20EiCWruG4WAyEdaxK2Edu9Ll+r9Smp5CyqJZpCyaRc7mddo6LiIichJUABQREaknq9nEqJhoLmwTzzktY4/o3XZYhd3OwvRspqekMz053e2nuoqxKu0OFqRnsSA9i4dWb6JNoD8T4mOYlBDD8JhIfCyu1YGtA/z5e5cO/L1LBz7oNZ55v+vDdjw+oeGcPWURFpvPHx6zV1WStX6lq+i3bL6muspJcVRXkbVuBVnrVrDhzefxj0kgduAIYgePIqrXACzeru+p/jHxdLz0BjpeegMV+bmkLp5N8vwZZK5drmKgiIhIPakAKCIicgLMJhNDoiO4tG1LLmoTf9SiX35lFdOS0/nxUCozUzIoq9EfqHJq7C8u5c3te3hz+x78rBbGxbXgvFaureehNm+cJhMbOvSu93l/X/yrKi4kbdk8UhbNJn3lIuwVzXsSsbiv0vRkdn//Kbu//xSLjy8x/YcSP3wcsYNG1U0X9gkNJ/Gcy0g85zIq8nJInj+dg3N+odxk0pZzERGRE6ACoIiIyDH0DA/hmvhQLgjzI75Pyz88nl5WwU+HUpl6MJWF6dlUa2uvNLGyGrtr2+/BVLzMZkbERDKpR3fy/IMbdL4Dv/7AgZlTyVq/AkdNTSOnFTk2e0V53bZfs9VKVO+BxA8fT/zQMfiERQLgExZB+wuvof2F11Cel0Pa2hXsKS8hf/c2g9OLiIg0XyoAioiI/I9oXx+uSGzJte1b0zX0j0WUrIpKpuxP5ut9ySzPysWh1SfSTFQ7HMxOzWS1zyHObOA5tn/xDoX7djVqLpGGcNTUkLFqMRmrFrP25ceJ6NaHlmPOouXIidhqt7f7hkWQOPYsEseeRcGe7eyf8T0HZ/1IRX6uwelFRESaFxUARUREAJvFzNi4FlyV2IpzW8XiZTYf8XiR3cFP+5OZciCFmSkZWuknzVpVSXGDn2sqKmi8ICKNxOlwkL1xNdkbV7Nu8lNEdO1FwsiJtJ54Ad7+gQCEtOtMr78+Ss87HyJr3Qr2/zqV5PkzsFdWGJxeRETEeCoAiojIaa1TcCA3dWrL1e1aE27zPuKxKoeDGcnpfFPjzezCcvI2rDIopciJCWqVSOI5l9H6zAsa9PwWRbnsGHcGn+45yH937mNnYcMLiSKnitNhJ3vTGrI3rWH34rlEd+lJTFJ3YgaOwGy1YjJbiO47mOi+g+n110c5MON79vz0FcWH9hkdXURExDAqAIqIyGnHZjFzdstYbu7YllGx0Zj+5/FtBUV8tucgH+3aT1ZFJf7d+xuSU+REmL28iRsyhnbnXkZ0n0Fg+t+v6BM3bNcaInxs3N21A3d37cC6nHze27mPz/YcpNyuoTbS/DhqqknfuJo9n/4f3oHBJIycQJsJFxDRrQ8AtuBQOl52Ix0vu5G8nVvY++OXHJj5g1YFiojIaUcFQBEROW0kBgZwa+dErmnXioj/meKbU1HJp3sO8vHuA2zJLzQoociJC4hrSbvzr6TNhAuxBYce8VhlYT6HZv1M3PCx+EXFnND5qtKT2fvdJ+S2jK5bDds7IpS3IvrwdJ+ufLLnIO9s38ve4pJG/1xEGkNVcSF7f/qKvT99RUhiJ9pMuojW48/HFhwCQFjHroQ98Azdb72P/TO+Y8/UzylJPWRsaBERkSaiAqCIiHi8wdER/DWpPee3jsPyP6ujtMJJ3E1k9750uPha4oePx2S2HPHY/65w2v3j54x67bO66al/pjw3i/n338T3B/bwj6OskI3wsXFP1w78vUt75qdn8fq2PUw7lIbG30hzVbB3B+tf+xcb33rxDytkbcGhdLrsJjpecgNZ65az69uPSV02DzTQSUREPJgKgCIi4pECvaxc1rYlf01qT1Jo0BGPFVRV8+3+ZP5v2x6t9hO3YPXzp9WYs+lw8XUEt2l/xGNVJUUkz5vO7u8+oWDvziMeKzqwh1k3nUefu58kbuiYo547belcVr/0GOXZmQBU2h1M2Z/ClP0pdAgO5Lr2rbm+QxsifWyYTSZGx0YzOjaa3UUlfLhrP+/u2EtBVfWp+cRFTpKjuork+dNJnj+dwIQ2tD3rYtpOuhhbSBgms7muV2BxygH2/fwNe3/8kqqSIqNji4iINDoVAEVExKMk+PtxV5f23NixDUFeXkc8tj43nze27eHrfclUaLWfuAG/qBg6XnI9bc++FC//gCMey9+1lV1TPubQnF+wV1X+6TnKsjJY/PCtBLVuR+zAkXQZM4Gkdm0ZkNiaXmF+XPzAR3XFv/+1q7CYR9Zs5qn127isbQJ3JrWjV7hru3H7oACe7duNB7t34r2d+3hj225SSssb75MXaWTFyfvZ+NaLbHn/VVqOPZsOF15DaIcuAATGt6bH7Q+QdPXt7P3pK3ZN+YiyrAyDE4uIiDQeFQBFRMQjdAsL5t6uHbm0bQJeZnPd/Xank19TMnht627mph29yCHS3IQkdqLTFTfRcvTZmK2//brmdNhJX7GQnd98ROaapfU6Z9GBPRQd2EO7QBveFdlMGtYDgNGjR7Ns2bJjPrfCbuej3Qf4aPcBekeEcldS+7r/rwV7e3Fft478rUt7fjyYxr8372BtTn79P2mRJmKvqmT/tCnsnzaFsI5d6XDJdXX/X/MKCKTTFTfT4ZLrSV08i+2fv0vejs1GRxYRETlpKgCKiIhbGx0bzX3dOjIm7shpvjkVlbyzYx/v7NhLWplWJYl7iO47mM5X3EyLfkOOmOZbWZjPnh++YM/UzynPOflC9pZde7Db7VgsFkaNGsXTTz99ws9dl5PPdYtW8eiazdzaOZFbOyUSbvPGy2zmojbxXNgmnlkpGby0eSfz07NOOqvIqZS3cwsrnr6PjW//m/bnXUnieVdiCw7BbLWSMHIiCSMmkL5qMTu+eJfMtcuNjisiItJgKgCKiIhbGh0bzdN9utI/MuyI+/cXl/L6tt38d+c+ymq0zVfcQ3TfwXS/5R7Ck3oecX9pejI7v/mIvT9/jb2i8QrZpeXlrF27lv79+zNo0CD8/PwoKyur1zlSy8p5fO0WntmwjUvaJPBQj850DA7EBIyPb8H4+BZszCvguY3b+W5/igaGSLNWnp3JpvdeYctHb9By9CS6XHMHgS3bgslEzIBhxAwYRv7ubWz75C2SF8zQwBAREXE7KgCKiIjbMJtMTEyI4fGeSfSOCD3isQ25Bby6dRdf7jtEjUN/mEnzZzKbXT35briLsI5dj3gsf9c2dn7zAQdn/4TzFPWrnDt3Lv3798fb25tBgwYxZ86cBp2n0u7g0z0H+XzvISYmxPBw904MiAoHoEdYCF+NHMiWnoW8vHknX+w9hF2FE2nGHNVVHPh1Kgdn/UjswJEkXXM74V16ARDaPonBT79Owd6d7PjyPQ7O+gmnQ280iYiIe1ABUEREmj2r2cRlbVvyUI/OdAoOPOKxWakZPL9xB4sysg1KJ1I/JouFVmPOIema2wlqlXjEY+krF7H907fJ2rDylOeYN28eDz/8MACjRo1qcAHwMIfTyS+H0vjlUBojYqJ4uEcnRsdGA9A1NJgPh/Xn/u6deG7jdr7Zl6xCoDRrToeD1KVzSV06l6jeZ9DlmjuI7jsYgJDEjpzxj5dIuuo2tn78fxyaO02FQBERafZUABQRkWbLBFzYJp4ne3el4/8U/uamZfLY2i2sys4zJpxIfZlMJIyYQPeb73ZtLfydzDVL2fTuK+Ru29BkcZYsWUJFRQU+Pj6MHj26Uc+9ID2LBelZ9AgL4eEenbmwTTwmICkkiE+HD+DRnkm8sHE7n+89hEOFQGnmstatIGvdCkLbJ5F0ze0kjJgAJhNBrdsx8InJdLnuL2z79C0OzvoRp8NhdFwREZGjUgFQRESapdGx0Tzfrxu9wn/b6utwOpmRksFT67dqyqi4lei+g+l5x4OEduhSd5/T4SB9xQK2fPCaIVNGKyoqWLFiBSNGjKBPnz6EhIRQUFDQqK+xMa+Ay+Yvp+uGYO7r1pHLE1tiMZnoFBzIh8P6c1+3jjy9YZt6BIpbyN+9jaWP/ZWQxI50uuJmWo09B5PZQlCrRM74x0t0vuIWtnz4unoEiohIs2Q2OoCIiMjvjY2LZvnZo5l55rC64p/D6eTb/cn0mDqLc2cvUfFP3EaL/kMZ++73jPzPJ3XFP6fDwaF505hxzQQWPXCzIcW/w+bNmweAxWJh2LBhp+x1tuQXct2iVfT6YRbfH/it2NclNJivRg5kyVmj6rYLizR3BXt3suLp+/j12kkkL/i1rtgX3LYDg59+nbFvf1u3XVhERKS5UAFQRESahaTQIH4aO4QZ44fR73eTfeemZTLgp7lcPn8F2wuKDEwocuKC27Rn2Iv/ZcQrHxGe1KPu/sw1S5l103kse/wuig7sMTChy9y5c+tujxo16pS/3rb8Ii6Zt5yeU2cx5Xer/gZEhTPzzGFHFP5FmrvC/btZ+o87mXHtRJLnT68rBIZ36cXI/3xyROFfRETEaNoCLCIihkrw9+ORnp25oUMbLCZT3f3LMnN4dO0WFmu4h7gRv6gYulz3F9qedTEms6Xu/pzNa9n4zktkb1hlYLo/WrVqFUVFRQQFBTV6H8Bj2ZpfyGXzlzNgaziP9OjMpIQYwLX1f9W50Xy3P4VH1mxiX3Fpk2USaajCfbtY+thfCe/Siy7X3kHsIFcxPbrvYMa//yPJC2aw8a0XKUlLNjipiIiczlQAFBERQ4TZvHm4R2fu6NwOm+W3Bemrs/N4aM0mFqar8CfuwzsohC7X3EH7C6/G7OVdd3/uto1sfOsFstaf+qm+DVFTU8OSJUuYOHEiXbp0oUWLFmRkZDTZ66/MyuXc2UsYGRPF8/260yciFBNwUZt4zmoZwxvb9vDCph3kV1Y1WSaRhsrdup5FD9xMdJ+B9Lj9QcI6dXMN/xk5kdjBo9k95RO2ffoWVcWFRkcVEZHTkLYAi4hIk7KaTfw1qT07L5rA3V071BX/9haXcPn8FQz6ea6Kf+I2TBYLHS6+lrO+nkfHy26sK/6VpB5i2eN3MfvWC5tt8e+ww30ATSYTI0aMMCTD/PQszvhpDlctWMn+2lV/PhYL93XryM6LJnBH53ZYzabjnEWkechcu5xZN5/P8n/+ndJ016o/i7eNTlfczFlfz6P9BVdjsliOcxYREZHGpQKgiIg0mZExUaw5dyyTz+hJqM1VKMmrrOKRNZvp/v1Mvt2frEmg4jai+wxk/Ac/0/tvj+MdGAxAVVEBG996kelXjefQvGluMQm0qfsA/hkn8NW+QyR99yu3L11LVkUl4Fot/NrAXmw8fzxnxrcwLJ9IvTidHJzzM9MuH8PqFx+lIj8XcK0W7nPPP5n46a/EnDHc2IwiInJa0RZgERE55RIDA/j3gB6c0zK27r5Ku4NXt+7ihU07KKyqNjCdSP0ExLWk118eJW7omLr7HNVV7PzmQ7Z9+hbVJcUGpqu/jRs3kpOTQ0RERJP2Afwz1Q4H7+3cx7f7k3moR2fu6tIeb7OZjsGB/DJuKD8cTOWBVRvVH1DcgqOmhr0/fUXyvOkkXXMHHS6+DrOXF4Et2zL8pQ9IWTSLDW88q/6AIiJyymkFoIiInDJ+Vgv/6tONTReMP6L499OhNLp/P5NH1mxW8U/chsXHl+633sfEz2YeUfxLXTyH6VeNZ+NbL7pd8Q/A6XSyYMECANq2bUvr1q0NzXNYQVU1D63eRI/vZzItOb3u/vNaxbHpgvE81acrflZtoxT3UFVSxIY3n2fG1WeStmxe3f3xw8Yx4bOZdL/5Hiw+vgYmFBERT6cCoIiInBJntYxl0wXjeahHp7o+fzsLizl71hIumLOUvcUlBicUOXFxg0cz8dNfSbr69ro+f8WH9rHo/htZ/PCtlKQeMjjhyTncBxCM3QZ8NLuLSjh39hLG/bqQrfmu4Qk+FguP9OjMtgsncGHreIMTipy44pQDLHrgZub/7WoK9+0CXP0Bk669k0lfzCFh5ASDE4qIiKdSAVBERBpVqwA/po4ZzA9jBtM6wB9wreS5e8UGekydyYyU9OOcQaT58G8Rx9Dn32HoC+/iH+MqNFWVFLHu1aeYfvWZpC1fYGzARtJc+gAey7y0LPr+OId7V26oWzkc7+/L16MG8t3oQbQM8DM4ociJy1y7jJk3nM361/5Vt3LYL6oFg59+gyHPvY1fdOxxziAiIlI/KgCKiEij8DKbebB7JzZfcCZn1273dQKf7TlIl+9+5fVtu6lxNP+BCCIAZquVzlfd5truO6R2u6/TyYGZU5l+xVh2ffsxTrvd2JCNpFevXtjtdlJSUgAYM2YMJlPznLhb7XDw6tbddPnuV77Y+9uqy3NbxbH5gvHc360jXmb9eivuwVFTw85vPmTaFWM5OOvHuvvjh45l4ucz6XzlLZitatkuIiKNQ78hiYjISesRFsKys0fxTN9udT25dhUWM2HmIq5btIrM8gqDE4qcuND2SYx993t63HZ/XU+u4uT9LLjnOlY8fR8VeTkGJ2w8rVq1YuHChdxwww1124Cjo6Pp1KmTwcmOLaO8gmsWrmTk9AVsyy8CwN9q5bl+3Vl97hj6RYYZnFDkxFXkZbP8qXuY+5fLKdy/GwCrjx89bn+Qce//RHhSD4MTioiIJ1ABUEREGszXYuHZvt1Yde4YeoWHAlBWY+ep9dvo9cMs5qRmGpxQ5MRZbD70uP0Bxr3/A6EdugBgryhnywevMeOaiWSsXmJwwsb3zjvvEBgYiNVqPaIPYHOYBnwiFmdk0+fH2dyzcgMl1TUAdA0NZulZo3hrcB8CvLR6StxH9oZVzLz+LNa9+jQ15WUAhCR2ZMzbU+j3wDNYfbXNXUREGk4FQBERaZBRsVFsvGA8D3TvhKV2u+DMlAy6ff8rT63fSqXdYXBCkRMX3WcQEz79lc5X3orJ7FrFmr5yEdOvGs+WD17FUV1lcMLGd+ONNzJ+/Pi6j+fMmVN3u7n2ATyaaoeD17buptcPs5hd+6aD2WTi5o5tWXveWEbERBmcUOTEOWpq2PXtR643HVYtBsBkNpN4zmWc+dE0onqfYXBCERFxVyoAiohIvQR7e/HukL7MPHM4bQNdQz5yK6u4btEqJs1azMGSMoMTipw4r4BA+j/0HCP/8wkBsQkAVBYWsOLp+1h47/WUZqQanPDUCAsJ5umnnz7ivtTUVHbtck0lHTlyJBaLxYhoDba/uJQJMxdx4+LV5FW6CraJgQHMnjCctwf3IcjLy+CEIieuND2ZBfdcx8pnH6CqqACAgLiWjHr1M/o98Axe/gHGBhQREbejAqCIiJyw0bHRrD9vHDd0aMPhEQHTktPpNXUWn+05aGg2kfqK7juYCR9Pp+1Zl0DtKta0ZfP49dqJHJg51eB0p9Ztl13M5MmT/3D/4W3AISEh9OzZs4lTNY6Pdx+g2/cz674nmYCbOrZlw/njGBWr1YDiXvZP/47pV43/7XuSyUTiOZcx4ZMZRPcZZGw4ERFxKyoAiojIcflbrbw2sBe/njmMlgGuHkRpZeVcMGcp585eQlpZucEJRU6c1cePPvf8k5GTP8Yv2jWxujwnk8UP38qiB26mPMeze1cO69cHq8XCV1999YfH3LEP4NFklldw3aJVXDh3GellriFELQP8mHnmcP5zRq+6YUUi7qAiL4cVT9/Hkodvozw3CwC/6FhG/ucTev/9ibphRSIiIseiAqCIiBzTGVHhrD53DHd0ble36m/K/hR6TZ3FT4fSDM0mUl8RXXsx/sOfaH/B1XWr/pLnT+fXayeSunjOcZ7t/iIiIrjynEm8+cXXR3183rx5OByu/p3u1Afwz/x4MJVu3//Kezv3Aa7VgH9JasfG88cztEWkseFE6ill8WxmXDmevT/VFu9NJjpcdA0TP51BZM/+xoYTEZFmTwVAERE5Ki+zmWf7dmPRpJF0CA4EIKuikovnLeOy+cvJrfS8oQjiucxWKz1uf4DRb35DYEIbACryc1ny6B0sfeyvVBYWGBuwibzxxht8O2MWOfkFR308NzeXTZs2ATB06FBsNlsTpjs1CqqquX3pWi6dt5zsikoA2gT6M2fCcJ7u0xUvs34dFvdRVVLE6hcfZeljf6GyIA8A/5gERr32Gd1vuRezVZOvRUTk6PQbj4iI/EGbQH/mTRzBA907Ya5dJTU9OZ0+P8xi6gHPHIognss/JoFRr39ZO+HX9atP2rL5zLzuLFIWzjQ4XdM566yziIiIYO7ylcc87vA2YD8/P/r395xVRd8dSKHH9zP54aDre5jFZOLhHp1ZfNZI2gdpoIK4l+T5M5hx9ZmkLJoFgMlsIemaOxjz1rcExrc2NpyIiDRLKgCKiMgRrmvfmvXnjWNgVDgAhVXVXLtwFefMXlLXS0vEXbSZdBETPplORLfeAFSXFLPi6XtZ9MBNdb20TgfBwcG8/PLL3HLLLTidzmMe6yl9AI8mq6KSi+Yu44bFqymqrgagb0QYq84dy9XtWhmcTqR+KvJzWfLI7ax85n6qS0sACOvcnfEf/ETrM883OJ2IiDQ3KgCKiAgAQV5efDJ8AP8d2o8AL9cWotXZefT/cQ6f79WEX3EvXv4BDHz8FQY8/AJWX9fgmtxtG5l54zkcmPmDseEMMHnyZF577TX27dt33GMXLVpEdW1xzBP6AB7NJ7sP0GvqLJZm5gAQ6GXlw2H9+XrUQEJt3ganE6mf/TO+59drJ5K9aQ0AVj9/zvjHSwx++g28A4MNTiciIs2FCoAiIkL/yDDWnz+OKxJbAmB3Onl6wzaGTpvH3uISg9OJ1E94Uk/O/Hg6rcadC4DTYWfrh68z5/aLKUk9ZHC6pjd69Gg6duzIW2+9dULHFxcXs3r1agAGDBiAv7//qYxnmIMlZYyesYBnN27HXrsq8sLW8aw6Zwx9IkINTidSP6UZqcz76xVs+/j/cDrsACSMnMD4D34krFM3g9OJiEhzoAKgiMhp7uaObVkwaSStAlyrpA6VlDFmxkKeXLeVGsextwqKNDeJ51zG6P/7Cv8WcQCUZaYx766r2Pz+f3Da7Qana3r+/v68/vrr3HTTTXXTfU/E4W3A3t7eDBky5FTFM1yNw8nja7cwbNp89heXAq4eqEvPGs0D3TvVTT4XcQdOu51N773CnNsvpTQ9GXD1QB37znd0vvLWusnnIiJyelIBUETkNBXi7cWU0YN4a3AfvGsHI0w9kErvH2axOCPb4HQi9eMdEMSQZ9+i3wPPYPbyAiBl4Ux+vXYS2RtWGZzOOC+++CIffvgh27dvr9fzft8H0FO3Af/eyqxc+v80h58OpQFgNZt4tm83vho1kKDarycRd5G7dT0zbziX1MVzADBZLPS4/QEGP/U6Xv4aeCMicrpSAVBE5DTUKzyUleeO4bxWrlVSNQ4nj6zZzCXzllFQVW1wOpH6Ce3QhXHv/0j8sHGAaxXMxrdeZMk/7qSqpMjgdMYZNGgQAwYMYPLkyfV+7rJlyygvLwc8bxDIn8mvrOLCOUu5Z+UGqmpXS17YOp7154+jX2SYwelE6qequJDFj9zGulefxlHb0zNh5ATO/Hg64Uk9DE4nIiJGUAFQROQ0c1PHtiw5axSJga5VAAdKShk6bR4vbtqBNvyKu0k85zLGvjOFgDhX/8rS9BTm3H4x2z9/B44z7daT+fr68u6773L99ddTU1NT7+dXVlaydOlSAHr16kV4eHhjR2yWnMBrW3czavoCDpWUAdAqwI/5E0dwXfvWhmYTqTenk13ffsS8v15OWaZrdat/izhGvfElbSZdZHA4ERFpaioAioicJmwWM5PP6Mnbg/tgs7i+/f9yKI3+P85hdXaewelE6sfs5U3vvz1eu+XXNbU1delcZt54LrnbNhqcznhPP/0033zzDZs3b27wOQ5vAzabzQwbNqyxormFFVm59PtxNtOT0wHwsVj479B+R7RMEHEXOVvWM/OGs0lbNh8Ai7eNAQ+/cETLBBER8XxWowOIiMipF+vny7ejBjIgyrWKx+508o81m3lp806t+hO34xsRzZBn/o/wLr0A15TfTe+8xPYv3jutV/0dlpSUxC233MIjjzzCLbfc8ofHuw8dDECX0N+m+/bo0eOIY6dPn/6HPoBTp049hambn9zKKs6dvYSHenTmyd5dMJtM3NyxLV1Cgrh0/nLSyyqMjihywioLC1j04M0kXX073W66G5PZTOI5lxHcpj1L//EXynOzjI4oIiKnmAqAIiIeblB0BF+PHEiMnw/g+qP2qgUrmJ2aaXAykfqL6NaHwf96A9/wKMD1R+3yJ/9OxqrFBidrPoKCgti1axfXXXfdUR8PjnBdO/Og/nX39ejRg4iIiLqPN23axOrVqykoKCAkJOS06QP4v5zAcxu3sy43n0+HDyDM5s2g6AjWnTeOy+YvZ2G6BiaJG3E62fbJm+Tv3MLAJybjHRRCRLc+nPnxNJY+9hey1q80OqGIiJxCKgCKiHiwWzq15dUzeuFVu2VtY14BF81dxv7iUoOTidRfu3Mvp/fd/8Rsdf36kr97G0seuYPS9GSDkzUvK1asoG/fvn/6+Fm3/AUAv4Isvv76awA++eQTHnzwwT8cu2jRIs455xw6d+5MXFwcqamppyZ0MzczJYOBP81lyuhBdAsLJtLHxozxw/jrsnW8v2u/0fFE6iV95SJm3Xw+Q559i5DETthCwhjxysesfeUJ9v78tdHxRETkFFETExERD2QxmXi2bzfeHNSnrvj31b5DDP1lnop/4nZMZgs9bn+Avvf/q674d3DOz8y5/RIV/06x328DHjFihHFBmoG9xSUM/Hkun+w+AIC32cw7Q/ry1uA+WM0mY8OJ1FNJ6iFm33wB+2d8D4DZy4t+Dz5LvweewWSxGJxOREROBRUARUQ8TLC3Fz+NHcID3TsBrn5/96/ayFULVlJWYzc4nUj9eAUEMuzf/6XzlbcCrn5/6994luX//Dv2inKD03m+/+0DeLqrsNu5YfFqHlq9CXttv8mbO7Zl6pjBBGmYgrgZe1UlK5+5nw1vPo/T4fr9IPGcyxj6/Lt4+QcYnE5ERBqbCoAiIh6kbaA/i88axfj4FgCUVNdw0dxlTN6yy+BkIvUXEJvA2LenEDPANYG2pryMJY/cwc6v3jc4mWfw8/Oru+3r63vUY7Zs2UJGRgYAY8aMaZJc7uClzTs5Z/YSCquqAZgQH8Pis0bSJtD/OM8UaX52fPEei+6/ieqSYgBiB45gzFvf4h+TYHAyERFpTCoAioh4iCHRESw7ezRJIUEA7C8uZdAvc/n5UJrByUTqL7JHP8a+N5Wg1u0AKE1PZvYtF5C6ZI7Bydxbr1696Nm5IyMH9OPee++tu/+yyy7jjjvuYMyYMfTv3x8fH9fQIKfTyYIFCwBo2bIliYmJRsRulmamZDB82nwOlLjaKnQJDWbZ2aMZFB1xnGeKND/pKxcx985LKU1PASC4bQfGvfc9Ed36GJxMREQaiwqAIiIe4PzWccw4cxgRPjYAlmflMvjnuWzLLzI4mUj9xQ8fz4hXPsIWHApAzuZ1zL7lQgr37zY4mfv75ZdfuPv6a7jinIn4+fmxbds2Nm/eTHFxMffeey8ffvghv/76K61atap7jrYB/7kt+YUM+HEOizJc04AjfWzMPnM4l7bVyilxPwV7dzLrpnPJ2uCaBmwLCWPUa5/RcsxZBicTEZHGoAKgiIib+2t0EF+PHIhvbdPuj3cfYPT0BWRVVBqcTKT+EkefxeCn38Bic61A2z/9O+bddQUV+bkGJ/MMcXFxXPvAo9z86JMkJibSpUsXunfvTmJiIomJiSQkJBAWFsbOnTvrnqMC4LHlVlYxYeYiPttzEACbxcynwwdwR3SgwclE6q+ysIAFd1/HgZlTATB7eTPw8cm0HTXB4GQiInKyVAAUEXFTJuCp+FD+lRCK2eSaQPniph3ctHg1VQ6HseFE6stkIun8K0m68EpMtZOrt3/+DiufexBHdbXB4U5ve/fu5cCBA4CrAGgyaeLt/6q0O7h+0SqeWr8NALPJxHMJYbzQ8rfvzyLuwlFdxYp/3c+WD14DwGQ20+Wia+h68bV1359FRMT96Du4iIgb8rVY+GbUIP7WwtXvr8bh5OYla3hkzWacBmcTqS+LzYch//o/Ese6tpk57XZWPfcQG996EZz6im4ODq8CjIqKomvXrganaZ6cwFPrt3L70rXUOFxft7dFBfHlyDPwqV2hLeI2nE62fPAqq198FKfdNSG4zcgzGfTka1i8bQaHExGRhlABUETEzQR4Wflh7GDObx0HQKnDwQVzl/Lhrv0GJxOpP6uvH8NeeJf44eMBqKmqYPHDt7Jv2rcGJ5Pfmz9/ft1tbQM+tvd27uOs2YspsbuKgBe2jmfG+KEEe3sZnEyk/vb+9BUL77sBe0UFAAkjJzDilY/wCtAWdxERd6MCoIiIG4nysbFg4khGx0YDkFFtZ8KOTKYnpxucTKT+fELDGf1/XxPddzAAFUX5LHv5SdKWzT/OM6WpzZ07F2ftakwVAI9vTmomZ+3KIKvatXJqaItI5kwYTpSPVk6J+8lYvYRlrz5NZVEhAJE9+zPqtc/xCQ03OJmIiNSHCoAiIm6iVYAfCyaNpGd4CAD7i0uZsDODjWVVxgYTaQD/FnGMfvNrQjskAVCanszSV56kMPmAscHkqNLT09mxYwcAI0eOxGq1Gpyo+VtfWsXYHRnsKSoBoFd4KEvOHk1iYIDByUTqr+DgPpb8+3FKUlzDbkI7dGHMO98RENfS4GQiInKiVAAUEXEDnUOCWDBpJB2CXVtutuUXMWLafPZV1BicTKT+glq3Y/SbXxOY0AaAwv27mXPHpZRlZRqcTI7lcB/AwMBA+vTpY3Aa93CgsoYR0+azOc+1cqptoD8LJo2ka2iwwclE6q8sN4s5d1xKwV7XmwEBsQmMfvNrQhI7GpxMREROhAqAIiLNXJ+IUBZMGkmCvx8AyzJzGD59Pqll5QYnE6m/sE7dGP1/X+MXFQNAzua1zL3jUsqzVfxr7g4XAEHbgOsjo7yC0TMWsDIrF4AYPx/mTBhO74hQg5OJ1F9FXjbz/noluVvXA+AbHsXI1z4nrKOGA4mINHcqAIqINGO9I0KZMX4Y4TZvAOalZTFx1mLyK7XtV9xPWMeujHjlI2zBIQBkrlnGgnuuo6q40NhgckLmzZuHvXYaqAqA9ZNXWcW4XxcxMyUDgAgfG7PPHM6AKPVQE/dTVVTA/L9dQ/rKRQDYgkMZ+epnhHfpZXAyERE5FhUARUSaqcHREcyZMJyw2uLft/uTmTRrMSXV2vYr7ieye19GvvY53kEhAByaN42F911PTXmZscHkhBUUFLBhwwYAhgwZgq+vr7GB3ExpTQ3nz1nK9wdSAAj29mLG+KEMio4wOJlI/dVUlLH4oVtIXvArAF4BgYx45SMiuqk9gIhIc6UCoIhIMzQkOoJfxg0lyMsLgK/3JXP1wpVUOxwGJxOpv8ge/Rj+0gd4+buGHxya8wvLn7wbR42K2e7m8DZgHx8fzjjjDIPTuJ8qh4PL56/g0z2uQQpBXq4i4KjYKIOTidSfo7qaZY/fxYFfpwLg5R/AiMkfEd1nkMHJRETkaFQAFBFpZoa1iOSXcUMJ9HJN2fxy7yGuWbiSGofT4GQi9RfVcwDDX/oAq58/AAdn/8Typ+7BWbuVVNyL+gCePLvTyU2LV/PR7gMA+Fut/DBmCGPioo0NJtIAToedlc8+yP5pUwCw+vgx7IV3adFviMHJRETkf6kAKCLSjIyOjWba+KEE1Bb/3tu5j2sXrcLuVPFP3E9038EMf/kDrL6uATZ7f/qKFU/fi9Oh4p+7WrRoEZWVlYAKgCfD7nRyy5I1/HfnPgD8rBamjhnM6FgVAcX9OB12Vr3wMHt/+goAi48vQ59/h+i+gw1OJiIiv6cCoIhIMzE8JpKpYwbja7EA8Ob2PdyxdC0OFf/EDUX1GsCw59/BYvMBYPf3n7L63//AqW3sbq2srIxVq1YB0L9/f4KCggxO5L4cTie3L13Lm9v3AOBrcRUBh7WINDiZSP05HQ5W//sf7P7+UwAsNh+GPf8OUT0HGJxMREQOUwFQRKQZGBwdwY9jhuBn/a3497fl61HpT9xRZPe+DHvxv1h8XEMidn//KWsnPwkqZnuEw9uArVYrQ4cONTiNe3MCf1u+vq4I6Ge18NPYIRoMIu7J6WTt5Cd/KwL6+DLs3//VYBARkWZCBUAREYMNiArn53FD6rb9frhrP39fsUHFP3FL4V16Mezf79dt+9037VvW/ecpFf88iPoANq7DRcC3d+wFIMDLyi/jhtAvMszYYCINUVsE3DP1cwCsvn4Mf+kDwpN6GBxMRERUABQRMVCfiFCm/27a78e7D3Crtv2Kmwrr1I0RL39YN+13//TvWP3CI9r262FWrFhBaWkpoAJgY3ECdy1fzye1g0Fc04GH0Ss81NBcIg3idLJ28j/ZP+N7wDUdePgrHxHaoYvBwURETm8qAIqIGCQpNIjp44cR7O0q/k3Zn8KtS9eo+CduKbhNe4a//BFeAYEAJM+fzqoXHlbxzwNVVVWxZMkSAHr06EFkpHrWNQaH08nNS9bwxd5DAIR4ezFj/FA6h6jPorgfp8PBquce4uCsHwHwDghixOSPCWrdzuBkIiKnLxUARUQM0DrAnxnjhxFu8wZcxb8rF6ygxqHin7gf/5h4RrzyMbbgEMBV/Fv2xN9x2jXt11Md3gZsMpkYMWKEsWE8iN3p5IbFq/juQAoAET42po8fSssAP1oH+PNg905MHTOYhZNG8v2YwTzQvROtAvwMTi1ydE6HnRXP3E/y/BkA2IJDGfHKR/hFxxqcTETk9GQ1OoCIyOkm0sfGtPFDifNzDUiYm5bJtYtWYtfKP3FDtpAwRrz8Ib6R0QBkrlnK8qfuxelQ8c+T/W8fwG+//dbANJ6lxuHkqgUr8R9j5cz4FiT4+7H23LEEeFnxMh/53v05LWP5Z+8uvLp1N4+t3aw3kaTZcdrtLH/y71h9/Yg5Yzh+UTGMevUz5txxCRV5OUbHExE5rWgFoIhIEwry8mL6+KF0DHZtk1yZlcuFc5dRadc2SXE/Xv4BjHjlIwJbtgUgd+t6Fj98G47qKoOTyam2fv168vLyAPUBPBWqHQ4umbeMZVmuAkmozfsPxb/DvM1m7u/Wke9HD8ZiMjVlTJET4qipYck/7iR70xoAAuJbMWLyx3gHaHu7iEhTUgFQRKSJ+Fos/Dh2cF1T9815hZw1ewkl1TUGJxOpP4vNh2EvvFfX1L1g7w4W3ncjNeVlBieTpmC321m4cCEAHTp0ICEhweBEnqesxs7yzLwTPn5iQgz/6JV0ChOJNJy9opzFD95Cwd6dAIQkdmLI829j8bYZnExE5PShLcAiIk3AbDLx8fD+DG3hapa/t7iEibMWkV+plVLifkxmM2c89jKRPfsDUJJ6iIX3XE9VcaHByaQpzZs3j/PPPx9wrQL8+OOPDU7U/JwX5kdlm3gKq6pxOF09/oqqqwGosNupqLFTWmMnt7LyD9t3o319uCMpsV6vd2/Xjry1bQ9ZFZWN9jmIZzNbzPgF2fDy9cLLZsHq7frz0ObnhdlswmQ24ePvja1VCDvWF5zUa1UVF7Lg71cz+s2vCUxoQ1TPAQx66jWWPHKH2kaIiDQBq1/Xvsc9yNa6A4Am+Z1ius5NQ9e5aeg6H+mFVmFcEB0MQEaVnQv25VPYtisn27pd17lp6Dofqesl15Ew4kwAKgrzWfnWvzHFtMQvpuVJnVfXuWl4RccBcCK/Ax7LsuTMuttjz7+Ib9duPanzeRpb6w58HFEJbU9sSnKR3UFujYO8ajv5NQ7CrBZ8LZZ6vaaf1cIlgwbxQVZxQyK7JX3f+COL1URQqI2gMC+Cw2wEhXrh42/Fz9+Kb90/C37+Vrx9T/xrbPLLpY1ynVe9O5kh9z+FLSiEuCFj6Pv4ZLZO+eSkz+sJ9PXcNHSdm4auc9Ooz3XWCkARkVPsrphgbq8t/pXYnVy8K5P9ldr2K+4pcezZtB01AQB7RQUr33iB0pwsg1OJEXbs3U9aVjaxUZGMHDjA6DhuL8hiJshipo3t5H497+lnA06fAuDpyuZjITLWh4gYX4LDbQSHebv+RdgICLRiMjfffpCl2ZmsfOMFBt37BFabD4ljJlGRn8PeudONjiYi4tGsZVvWHPcgU23T4RM5VhpO17lp6Do3DV1nl4vaxPNUfGvA1dT90rlLWZ6S0Wjn13VuGrrOLgkjJ5J0/hVAbVP3R28nfeWiRju/rnPTqB50BtA413n+7FlceeWVxEZFEl9VxK5du076nJ7CZDZzc7E/1rSDgGt1nq12RV+glxWLyYTFZCLcx0a4zZuw2n/hPjbCvL2xNrCAc0mYL1GVPmzJL2RLfiFb84vYXlBElYeuwPD07xsWLzNRrUKJahtGdJswotuGEdUmlJDowAadz2F3UF5USVlRBWVFlZQVVlBe7Pqv0+HE4XBSWepqT2KvtlNV4XrD0hzVisoDeY12ncu2rGFpXibDXngPk8VC0oVXU7BpNcnzZzTK+d2Vp389Nxe6zk1D17lp1Oc6awWgiMgpMiQ6go+G9cdcO5XxzmXrmNmIxT+RphTZox9nPPZS3S8Za156rFGLf+Ke5s2bx5VXXgm4+gCqAHikb3JLKd25r0HPfXdIX27o0Kbez/OzWpmYEMPEhJi6+2ocTnYWFrEiO4/lmTmszM5jR0ERzmOcR5qeyQQRLUNJ6BJNy67RxCdFEdkyBLPlxOY2VpVXU5BRQn56EQWZJRRkFFOQUUxhVimlBeWUFVZQUdqw3sP+3RtWcDyW9BULWfPy4/R74Jm63rLlOVnkbF7b6K8lIiIqAIqInBJtAv35dvQgfGpXezy1fhsf7NpvcCqRhvGPSWDIM2/WTWvc8sFr7PvlG4NTSXMwZ86cutujRo3i7bffNjCNZ5mfntWgAmBmeQWRPra6N58ArGYTXUKD6RIazI2158yrrGJldi4rsnJZlpnLmpw8ijWVvknZ/LyI6xxFy67RJCRFk9AlGt/AY0/FdTqc5KcXkbEvj6z9+WTuyyMvrYiCjGLKCiuaKHnj2fvTV/hFx9Ll2juxeNsY+vy7zL71AkpSDhodTUTE46gAKCLSyIK9vfhx7BAifVy/xH+8+wBPr1dzfHFPXgGBDP/3f7GFhAGwf/p3bPnwNYNTSXNx6NAh9u3bR9u2bRk1ahRmsxmHh241bWq/HEoju6Ky7mfJiciqqKTjlBk4ndA5JIhuYcEkhQTRLTSY3hGhhNm8644Ns3kzIT6GCfGulYJ2p5P1ufnMTMlkdmoGK7Jz/zCZWE6OxWomoUs07frF065/AjHtIzAfY6t3eVElabuyXcW+fXlk7ssj62A+1RWeVajd/N/J+LeIpfX487EFhzD0uXeYc9tFVJeWGB1NRMSjqAAoItKILCYTnwwfQFJIEADLMnO4Y9labbMSt2QyWxj4+CsEtW4HQM7mtaz+9z/Aqa9o+c3cuXNp27Yt4eHhdO/enQ0bNhgdySMUV9fw6JrNvDvkxKc1/2PNZkpqV/GtycljTU7eEY+3DfRncHQEvSNCGRwVQc/wkLqVghaTib4RYfSNCOPRnp0pralhRVYuc9Oy+OVQGtsKihrvkzuNhMYGkdgnjsS+8bTrG49PgPefHpufVsTBLRmk7czh4OYM0nfn4DwdirBOJ6ueewi/6Fiieg4guE17Bj31Oovuvwmnw250OhERj6ECoIhII3ppQA8m1fZdOlBSykVzl1Fp12oYcU+9/voosYNGAVCansKSR27HUd2w/lHiuebNm8fNN98MuLYBqwDYeD7YtZ+OwYHc263jCR3fufbNpz+zr7iUfcWlfLrHtb0y2NuLAZHhnBEVzuDocAZHR9S1rvC3WhkdG83o2Gie7duN3UUlzErJYOrBVBZnZGPXGwFHZTabaN0zlqRhbWjfP56wuOCjHldTZefgpnQObs4geWsmKduyGtyfzxM4ampY+ugdjH13KgFxLYkZMIyedzzI+jeeNTqaiIjHUAFQRKSR3NyxLX9Nag9AUXU158xeQlZFpcGpRBom8ZzL6HDxtQBUl5aw6IGbqMjPNTiVNEfz5s3D6XRiMpkYNWoUr7zyitGRPMqDqzexMa+AZ/t2J97f9w+PZ5RXEOLthY/Fwt1dO7CjoIj3T7DnbGFVNbNSM5iV6hpQ5WuxMCg6gtGxUYyJjaZXRCiHN6i2DwqgfVI77kxqR15lFdOT05lyIIWZKRlUn+bbvs1mEwldoukyMpFuI9sSEOZ31OPy04rYuzaVvWtS2L0qmcqy6iZO2rxVFhaw5JHbGPPWt1j9/Ol42Y0UHdzL3p+/NjqaiIhHUAFQRKQRnBEVzqsDewHgcDq5ZuEqtuVru5S4p4iuvehz9z8BcDocrHjqHgr37zY2lDRbWVlZbN26la5duzJs2DC8vLyorlZhozF9sfcQ3x1IYWRMFAOiwonysZFVUcmKrFwWpGcxIiaKn8YOwWIy8cag3uwsLGZJZk69X6fcbmduWiZz0zJ5hM1E+/owtEUEZyXEMjEhpq6HYJjNm6vateKqdq2OKAbOSsmg6jQpBh5R9BuVSEDoH4uzVeXV7F+fxo5lB9mzKoWCzGIDkrqXgr07WfrYXxj27/9iMlvoc+9TFB3aR/bG1UZHExFxeyoAioicpFg/X6aMHoS32Qy4Vmv8cijN4FQiDeMbEc2QZ9/C7OUFwIY3nyd16VyDU0lzN3fuXLp27UpgYCD9+vVj2bJlRkfyOJV2B7+mZPBrSsYfHpuZksEjazbzQr/ueJnNfDlyIP1/mk162clNhc0sr2DK/hSm7E/BYjIxrEUkF7aJ57xWcbTw9QGOLAbmVlbx7f5kPty1n7U5+Sf12s1VXKdI+kzsRNeRifgG/XFAS3FuGdsX72fLgn0c3JiO43To4dfI0lcuYuNb/6bnnQ9htloZ9NRrzLrhXMpzs4yOJiLi1lQAFBE5Ca4/tM6o+0Poy72HmLxll8GpRBrm8B9aPmGRAByc/RM7v3rf4FTiDubNm8ff/vY3wNUHUAXApvfy5p10CQnimvatifHzYcqoQYyasaDR+tDanU7mp2cxPz2Lu5avZ2BUOBe1ieeC1vHE+blWv4XbvLmtUyK3dUpke0ERn+45yIe79pPt5u0wfAK86Toykf7nJhHTPuIPj5cVVrBr5SG2zt/HrpXJONT796Tt+PI9gtt2oM2EC/ANj2LIs28y9y9XqA+tiMhJUAFQROQkvD6wF4OjXX8MbMor4NalawxOJNJwfe55ksjuromjBXu2s+qFRwxOJO5i4cKF2O12LBYLo0aN4l//+pfRkU5Ldy5bR7ewYHqFhzIgKpyXB/TkL8vWNfrrOJxOlmbmsDQzh3tXbmRgVDgXto7nojbxxNYWAzuHBPFs32480asLPx1K5YNd+5mbloXDTYaHmMwmEvvG02diRzoNaY3Vy3LE48U5pWyev4+tC/eRvDXz9JjW28TWvPQYIYkdCe3QhfAuveh91z9Y8/LjRscSEXFbKgCKiDTQzR3bclPHtgDkVVZx0dxllNXYDU4l0jCJ51xG4jmXAVBVVMCSR27HXlFucCpxF4WFhaxdu5b+/fszaNAgfH19KS/X109TK7fbuWjuMlaeM4YIHxu3dUpkfU7+CQ8FaYjfFwPvX7WRM+NbcEOHNkxMiMHLbMZmMXNxmwQubpPAoZIyPty1n3d27G22Q7L8Q33pf04SfSZ1Ijg64IjH7DUOdi4/yLppO9i9Mlnbe08xe2UFSx65nXHv/4gtOJR2519J/q6tGgoiItJAZqMDiIi4o94RofznDNfQD7vTyRULVrCvuNTgVCINE9axK33ufgIAp8POsif+RklassGpxN3MnevqFWmz2Rg8eLDBaU5fB0vKuGbhKuy1K+1eHdiLnuEhTfLadqeTacnpXDh3Ga2/nsaDqzexo/C3wRctA/x4oncX9l06iXeH9KVLaHCT5DoR0W3COO+B4dz3zZWMuqHvEcW/7IP5zHxrBS9d9Blf/mMWO5cfUvGviZRmpLL8qXtwOlxvsPa++wlCOyQZnEpExD2pACgiUk8h3l58NXIgNovrW+hja7cwJzXT4FQiDeMdEMSgp9/A7OWa7rnpnZfJWL3E4FTijubNm1d3e9SoUQYmkVmpGTyxdgsAPhYLX40cSLC3V5NmyCyv4OXNO+n63a8M/WUeH+7aT0l1TV2mGzq0YcP545gxfhjj41tgatJ0LiYTtB+QwHUvT+LODy+mz6ROWL1dW32ryqtZN30H7935A69d8w1LvtpISb5WtRohY+UiNr83GQCLt43BT72BV0CgwalERNyPtgCLiNSDCXhvSD/aBvoDMD05nX9v2mFsKJGGMpno//DzBMQmAJC2bD7bv3jX4FDirpYsWUJFRQU+Pj4qADYDL2zaQf+ocM5pGUu7oADeHdKXS+ctNyTL8qxclmflcs/KDVzfoQ1/69KBVgF+mICxcdGMjYtmd1EJb23fw3937jvl7TSsXha6jkpk6OU9iWoTesRjxbllrPl5O8u/20x5UfPcpnw62vbZ24Qn9SRu6BgC4lvR/8HnWPrYX4yOJSLiVrQCUESkHu7q0p7zW8cBcKikjOsXrUKbgMRddbz4OuKHjwegLDONlc/cB27SoF+an4qKClasWAFA3759CQkJMTbQac4J3Lh4NQdKXO0pLmwdz51J7QzNVFxdw2tbd9NxynQun7+CVdl5dY+1DwrglQE92XPJJO7u2gE/q+UYZ/qNr82Br+3Epu56+1gZcnkP7ptyFRc+MvKI4l/ytky+/uccXrr4c+Z9uEbFv+bG6WTlsw9Qmp4CQMLICbS/8BqDQ4mIuBcVAEVETlDfiDCe69cdgGqHgysWrCC3ssrgVCINE9a5Oz1ufxAAR00Ny564i8rCAmNDids7vA3YYrEwbNgwg9NIfmUVl89fQZXDVSB7qX8PzogKNzgV1DicfLs/mUE/z6X/T3P4bM9Bamp76kX52Ph3/x7svWQSD3TvdNRCYKdO8N57kJ4O2avWkL1qDWlp8O670LHjH1/P6mWh79md+fsXlzP+tjPwD/EBwOlwsnPZQT665xfevf0Htszfi8N+YsVEaXpVxYUse+IuHNXVAPT666NEdO1lcCoREfehAqCIyAkI8fbi61ED8Ta7vm0+uHoTK7JyDU4l0jDeAUEMfvoNzF6unmAb/u85crasNziVeILDg0BAfQCbi9XZeTy6ZjMAXmYznw4f0OT9AI9lXU4+1y1aRacpM3h9227K7a7tv5E+Np7t242dF03kri7t8bG4CoEPPgibN8NNN0GLFr+dJyYGbr4ZtmyB++933edlszLoku7c++2VnHvfMALD/QCorqxh+ZTNvHL5l3z28K/sXZvapJ+zNFzuto1sfOffAJitVgY+MVn9AEVETpAKgCIiJ+CNQb1pFeD6w+GXQ2m8vnW3wYlEGq7PfU/h38K1lT116Vx2TfnY4ETiKVatWkVRURGgAmBz8p8tu/jhoKvI1SbQn3cG9zU40R8dKCnl7hUbSPx6Gi9u2lFXCIzx8+GVAT3Zd+kkZr4RyfPPg/UYXcytVnjxRXjz00ju/uIyJtw5kIBQXwDs1Q7W/Lyd/1zxFdNfX0ZBRvGfn0iarZ1ff0DKolkA+Mck0P/BZw1OJCLiHlQAFBE5jus7tOGyti0BSCkt54bFq9X3T9xW20kX02rM2QCUZWWw8pkH1PdPGk1NTQ1LlrimSHft2pUWv1+iJYZxAjctXs3BkjIALmoTz1XtWhkb6k9kVVTyyJrNdPp2Bm9u30Nl7Zbc6I5ljLsj54TPc9tVObRv7ZraW1NtZ+X3W3jlsi/48aVFFOWUnpLs0kScTlY9+yClGa6idsLIibQef77BoUREmj8VAEVEjiEx0NWUHMDhdHLtopXkqe+fuKmAuJb0/ttjADgdDlY8fQ9VRQXGhhKPc7gPoMlkYsSIEcaGkToFVdVcu3Al9tqC/xsDe9M+KMDgVH8utaycu5avp+OU6by+bTeOSdvAdOJvVphwMjh+HWt+3s7ky7/kl1eXqvDnQapKiljx9L04Ha6Von3ve4rA+NbGhhIRaeZUABQR+RNeZjOfjhhAoJdrr9G/NmxnYXq2walEGuZwrySrnz8AWz96g6z1Kw1OJZ5IfQCbryWZOby4aQcAAV5WPh0xAC9z8/5zIKW0nIfWb6C6c1q9n9sq4AAzXltEUbYKf54oe+Nqtn/2DgBWXz8GPjEZ87H2h4uInOaa9098EREDPdm7C/0jwwBYnpXLsxu3GZxIpOG63XwP4Uk9AcjZvI6tH79hbCDxWBs3biQnx7VVUwXA5uep9dtYnZ0HuKbb/6NnksGJji8hAXz96v88Pz8nCQmNn0eajy0fvEruto2Aa7p9l+vvMjiRiEjzpQKgiMhRDIwK595uHQEorKrmmoUrqXGoT5q4p4huvel0+U0AVJcUs/ype3DWNtgXaWxOp5MFCxYAkJiYSOvWrQ3NI0eqdji4csEKiqqrAXi4RycGR0cYnOrYvE5iaPHJPFeaP0dNDcv/+TeqS0sASLr6diK7N78hNyIizYEKgCIi/8PfauXDYf2xmEwA3LV8PfuLtX1I3JPVx48zHn0Jk9kCwNrJ/6Q0PdngVOLpDvcBBK0CbI72FZdyz4oNAJhNJt4b0hc/q8XYUMeQkgINec+ipsb1XPFsJWnJrHvtaQBMZjP9H34ei4+vwalERJofFQBFRP7H8/260662MfpPh9L4fO9BgxOJNFyPOx8kIN417TN18RwOzPzB2EByWlAfwMZnNpvp168fF198MVdccQWjRo0iKCiowef7aPcBph5wTVHtEBzIM327NVbURldWbmbrnvoPLDm0wY/KMv25czrYP20KKQtnAhCY0IYet95vcCIRkeZHPxFFRH5nVGwUt3VOBCCnopLbl641OJFIw0X3GUT7864EoLIwn9X/ftTgRHK62LVrFym1S69GjRqFqXZFtdSf1WrlrrvuIiUlhZkzZ/Lwww/z/PPPM3fuXHJzc/nll18444wzGnTuO5atJauiEoC/JLVnbFx0Y0ZvFDHtI7jlzfPYWTO43s9tvawXq88dw4Co8FOQTJqb1f/+BxX5uQB0uOgaWvQfanAiEZHmRQVAEZFaQV5e/HdIPw7/mXrnsnVkllcYmkmkobz8AxjwyAtQW3hZ89JjVOTlGJxKTieHtwHHxMTQqVMng9O4J19fX3788UeuvfZarrrqKsLCwujduzctW7akT58+rFu3jkmTJrFkyRIef/zxep8/+3dvdJmAtwf3JaiZNM3z8rEy7tYB3PbuBcR2jGRnbmu2ZLY54edXr4zHuTGWrqHBLJ40krcG9yHQSxNiPVllQR5rXqx9o8tkot8Dz+DlX/+VoyIinkoFQBGRWi8N6EHLANeYwS/2HuK7A2ocJO6r118fxS86FoCDs34kef4MgxPJ6eb3fQBHjx5tYBL39e677xIQEMCwYcOOuJ4A69atY+TIkaxduxaLxcKTTz7JfffdV+/X+PFgKl/vc/UFbRXgx4v9uzdK9pPRtnccf/v0UoZe0ROz2fUmxu5VyYwbmM3Uqcd//vffQ89z8pmVmgG4+hze3LEtG88fz4iYqFMZXQyWsng2h+b8AoB/izh63vmwwYlERJoPFQBFRHBt/b2+g2tlQVpZOX9bsd7gRCINF91nEG0nXQxAeU4mayc/aXAiOR3NmTOn7rb6ANbfsGHDuPDCC7n88sspLT36IKqysjJuu+22uo//9a9/0bZt23q/1l3L15Fe5lrxfmPHtoYVySxWM6Ou78t1L08iOMq1cqu8qJIfX1rEJ/dPJ31/CRdeCFdfDVu3/vH5W7bAVVfBRRfBtqxSJs5czGXzl9dtc24Z4MfsCcOZfEZPbBb9GeSp1k5+gvLcLAASz76UqN4N2yIvIuJp9JNPRE57flYLbw3uU7f196/L15NfWWVoJpGGsvj40u+BZ+q2/q59+QmqigsNTiWno9TUVHbv3g3AyJEjsVia75TZ5uimm25i586djBgxAm9v7z89bs2aNaxf73rTymazccstt9T7tXIrq7ht6RrAtRX4vSF98bc27XbZ6DZh3PbuBYy8rg+m2lV/G2ftZvKVX7Lm5+11xzmd8Nln0LUrtG0LZ93SibNu6USbNtCtG3z+ueuYw6bsT6Hbd7/yxd5DgOvz+2tSe5afPZqk0IYPUZHmq7KwgNUv/LYVeMDDz2P18TM2lIhIM6ACoIic9p7q05XEQNdKg2/2J/PjwVSDE4k0XPeb7yEgriUAh+ZOI2XxbIMTyens8DTgkJAQevbsaWwYNzNo0CB69uzJ559/zieffHLMY5csWVJ3e+zYsQ16vWnJ6Xxf2/qiTaA/j/VKatB56stkgr5nd+bWt8+nRaJrWEdFaRVTnpnHlGfmUV5U+afP3b8fFqwMYsHKIA4c+PPXyK2s4pqFK7ls/nLyat/g6x4WwqpzxvBA906YNaTG46Qtm0fygl8B8I9JoOsNdxmcSETEeCoAishprV9kGH9Nag+4/kC4e8UGYwOJnITwpB50uPhawLUCYt2rTxmcSE536gPYcCEhIXW3j7eFOi0tre52fHx8g1/zrt+tgL+7awf6RIQ2+FwnIiDUl6uen8C59w3Dy8e14nD/+jTeuO5bNs7a3eivN2V/Cn1+mM2CdNf2UB+LhWf7dmPG+KHE+fk2+uuJsda+8s+6FfAdL7uBsE7dDE4kImIsFQBF5LTlbTbz3pC+WGrf+b9v5QZN/RW3Zfbyot+Dz2Eyu7ZZrn/9X5r6K4abN28eDocDUB/A+pox47fBPTNnzjzmsb/fImy32xv8mhnlFTywehMAFpOJ94b0xct8av5c6DSoFXd9cikdznCtWK6ptjPzrRV8eM8vFGaVnJLXBEguLWPcr4t4ePUmqmq/NkfHRrPu/HFMTIg5Za8rTa8iL5sNbzwHgMlsof9Dz2Fu4q3tIiLNiQqAInLauqdrB7qGBgPwa0oGn+45aHAikYbrdNlNhCR2BCB9xUIO/HoCozJFTrHc3Fw2b94MwNChQ7HZbAYnch833ngj11xzDVdffTU33njjMY/t2LFj3e1du3ad1Ot+tGs/c1IzAdc22bu6tD+p8/0vkwmGXtGTK54Zj2+Q6+sh+2A+797+A0u+2ojT4TzOGU6ew+nk35t30u/HOWzOc60QC7d58+PYITzbt1vdG4Pi/vZNn0LGatcW+ZB2nelw8fUGJxIRMY4KgCJyWmod4M8jPV39jUprarhz2VqDE4k0nH9MPF2uvROAmooy1rz0mMGJRH5zuA+gn58f/fv3NziN+6iqquLTTz/ls88+o6rqzwdT2Wy2I/r+/fTTTyf1uk7gzmXrKK9dSfhYzyQS/BtngIJfkA/XvDiRcbcOqBv0sXLqVt686TvSdzf9iuWt+YUM+nkub+/YC7gGhDzQvRM/jR1CmO3PB6+IG3E6WfPSY9grXTs8ut5wF35RWukpIqcnFQBF5LQ0+Yye+FldWyWf2bCdgyVlBicSabjef3sMi4+rf9XWD9+gNEODbKT5UB/AU+v8888nMjISgIyMDN59992TPufe4hJe2LgDgAAvK68M6HnS54xpH8Ft715Au/4JAFRX1jD1+QX88p8l1FQ1fNvyySq32/nLsnVcvXAlpTU1AIyPb8Ha88bSLzLMsFzSeEpSD7Ht07cAsPr60ftvepNMRE5PKgCKyGnnnJaxnN0yFoBtBUVM3nJy26VEjBQ3dAxxQ8YAUHRgDzu/ft/gRCJHWrRoEdXV1YD6ADY2i8XCfffdB4DD4eCmm26ipKRx+ue9uGkHOwqLATi/dRyTTqI/Xs/xHbj5/84lNCYQgNyUQt65bSrrZuxslKyN4cu9hxjw4xy2FxQBkODvx4KJI7mpY1uDk0lj2P75OxQddK30jB8+nthB+l4kIqcfFQBF5LTiZ7Xwcu1KBifwt+Xrqa5tAi7ibiw+vvS+6x+uD5xO1k7+J47aFSwizUVxcTFr1qwBYMCAAfj7+xucyHPcfvvt9OnTB4D77ruPadOmNdq5qxwO7li6lsMd+V4b2Bv/eg5QsHpZOO+B4Vz4yEi8bK7nbl98gLdv+Z7MfXmNlrWx7CgsZugv8/j5kGuqss1i5u3BfXh7cB9sFv3Z5M4c1dWs+fdj4HR9Rfe5559YfRpna7uIiLvQTzIROa080iOJNoGuPz4/33OQ+elZBicSabgu196Jf4xrO92BWT+QuXa5wYlEju5wH0Bvb2+GDBlicBrP0L59e5555hkAHnzwQSZPntzor7EoI5tv9iUD0CrAj/u7dzzOM37jG2Tj2pcn0WdSJwAcDifzP1rLl4/PoqL0z3saGq2gqpoL5izlnpUbqKkdSHJTx7bMnTCCSB8NsXFnWRtWcmiuq0ju3yKOzlfdanAiEZGmpQKgiJw2EgMDuLtrB8D1C/6DqzcZnEik4QLiWtLpMtdk0KqSIjb83/MGJxL5c7/vA6htwCcvICCAqVOnEhQUxGOPPcaLL754yl7rvlUbKKrdwn1ft460Djj+Cs7w+GBufet8WvdwbRsuLajg4/umMe/DNU0y5fdkOYHXtu5m0qzF5FRUAnBGVDgLJ42kXVCAseHkpKx//RmqS13b5DtdcTP+MfEGJxIRaToqAIrIaeOlAT3qtvD8c90WMssrDE4k0nC9/vooZi/XlMot/51MRV7TT9AUOVHLli2jvLwc0CCQk2W1Wvnyyy/p1KkTt912G//6179O6eull1Xw9PptAPhYLLzQv/sxj0/oEs3N/3ce4fHBAOSlFvLenT+wb637DSeam5bJwJ/n1vUF7BAcyLKzRzO0RaTByaShynOz2PLhawBYvG30vOMhgxOJiDQdFQBF5LQwKjbqiMEf7+zYZ3AikYaL7jPoiMEfe374wuBEIsdWWVnJsmXLAOjVqxdhYZqu2hAmk4m3336bsWPHcvnll/POO+80yeu+sW0PO2sHglzYOp4xcdFHPa7riLZcP/ks/EN8ADi0OYN3bv+B3JTCJsl5KuwvLmXYtPksqG0ZEmbz5tfxw7gisaXByaShdk/5mOJDrt8DE0ZOoEU/tSUQkdODCoAi4vGsZhOv1A7+ALhv5UYN/hC3ZbJY6HV48Aew7vVnNPhD3MLhbcBms5nhw4cbnMY9Pfnkk1x00UWMGzeOb7/9tslet9rh4G8r1td9/Er/nljNpiOOGXhRNy55YkzdsI/1v+7ig7t/pqzQ/Vfb51dWMXHmYj7dcxBwDQf5ePgAHu/VxeBk0hCOmhrWTn6y7uNed/0Dk8ViYCIRkaahAqCIeLw7Oreja6hrK9KPB1OZlZphcCKRhmt/wdWEJLoa8acsnk3GykUGJxI5MYcHgYD6ADbELbfcwl/+8hfGjRvHokVH//99eHg4e/fuPSWvPyc1kxkp6QAkhQZxY4e2AJgtZs5/aAQT/zoIk9mE0wlzP1jN1OfnY6/2nDfbqhwObli0iqfWb8UJmIDHeyXx7pC+WEym4z1dmpmM1UtIW74AgOA27Uk8+1JjA4mINAEVAEXEo4XZvHmsZxIAlXYHD6zS4A9xX95BIXS94S4AHNVVbHjjWYMTiZy4NWvWUFBQAKgPYH2dd955PPnkk4wcOZJVq1b96XE9evRgx44dpyzHfSs3UlW7gv7J3l0I87dxyROj6T3B9aaEvdrBd8/OY8HH63A2/1kf9eYEnlq/jSvmr6DCbgfghg5t+G70IHy0gsztrH/9GRy1A2663XwPXgGBBicSETm1VAAUEY/2UI/OhNpcgxL+s3UXe4tLDE4k0nBJ19yOd6BrNevOrz+gJPWQwYlETpzdbmfx4sUAdO7cmbi4OIMTuYcBAwbwyiuvMG7cODZu3HjMY8eNG8e2bdtOWZadhcX837Y9AIQE+HDP5PPoMty1ErC8uJKP7v2FjbN2n7LXby6+3Z/MxJmLKahyFY/OahnLt6MH4qsioFspPrSP3d99AoAtOJSkq24zOJGIyKllNTqAiMip0jrAnzs7twMgp6KSFzedulURIqeaf0w8HS68BoDKwny2ffa2wYlE6m/evHmcffbZAIwYMYLPP//c4ETNW5cuXZg+fToffvghAwcOZODAgUc9zmq1EhMTw/XXX88jjzxySjM9s2EbV3Ruw7xxYThjvAAozS/n4/umkb4n95S+dnOyKCObMTMWMGP8MCJ9bEyIj2H6+KGcO3spRbWryqT52/rRG7SecCG24BA6XHI9u6d+TllmmtGxREROCRUARcRjPd2nKzaLa6HzvzZso7BKv5CL++p+y72YvVyrWbd++BrVJcUGJxKpv//tA6gC4J+Li4tj2rRphIWFce+9957w807lCkCACm8T7430xVJb/LOUVPPh3b+QuT/vlL7un0lql8hZI4cR73crvr6+7Nu3j6lTp7J27dpT/tobcgsYOW0+MycMJ87Pl6EtIpk9YTgTZy4it7LqlL++nLyqkiK2f/Y2Pe98CIu3jW43/p2Vzz5gdCwRkVNCW4BFxCP1CAvh0rYJAOwvLuXdHfsMTiTScKHtk2g5+iwAStOT2fPjlwYnEmmYLVu2kJmZCcCYMWMMTtO8ffPNN7Rq1arezzuVPQD9Q3254dVzsLQJAiC41M6NM0uJLWr6hn9dunRh0aJFzPvkv0SEhvLLL7/w0UcfkZubyxdffMErr7zSJDl2FBYz/Jf5dS1G+kSEMn/iSGL8fJrk9eXk7ZryESVpyQC0PvN8QjtourOIeCatABQRj/Ri/+6Ya6fyPbJmc13TchF31PPOhzCZXe/ZbXzr33VNy0XcjdPpZMGCBVx66aW0bNmStm3bsm+f3qA5mm+//ZaffvqpXs+pqqoiPz//lOQJjPDj+slnE9kyxPVa6aVctaSaoDIHz/TtysSZi0/J6x7NddddxzvvvMOaNWvofvaFZOXmUbrJNRxl1qxZzJo1i9mzZ7N69Wq+/PLUv2FyoKSUMdMXMvPMYXQIDiQpNIjZE0YwbsZC0srKT/nry8lxVFez+b+TGfj4K5jMZrrfeh8L773e6FgiIo1OBUAR8Thj46IZHRsNwOrsPKbsTzY4kUjDteg/lOi+gwHI3baRQ/OnG5xI5OTMmzePSy+9FHBNA1YB8Oj+85//GB2hjn+o7xHFv4y9uXx633TOGTqIXuGhjItrwciYKOanZ53yLNdddx3vv/8+O3bsYOzYsZjadT3i8YsvvpivvvoKs9nMFVdc0SQFQIDk0jJGTl/Ar+OH0S0smE7BgcyaMJxR0+aTVVHZJBmk4Q7N+ZlOl91IaIcuxAwYRnSfgWSuXW50LBGRRqUtwCLiUUzAU71/+2PgoTWbaPqNSSKNxGSi201313248a0XwKmvaHFv/9sHUJo330Ab1700qa74l7ozmw/+/jNFeWU8tHpz3XFP9en6J2doPF27duXtt9/GZDJx1VVXUVZW9odjhg0bhrl2xXRISMgpz/R7meUVjJ6xgLU5rlWYnYIDmXHmMEJt3k2aQ+rP6XCw4c0X6j7udtM9BqYRETk1VAAUEY9yTqs4+kWGATAnNZOF6dkGJxJpuPghYwhP6gFAxuolZK1faXAikZO3d+9eDhw4ALgKgKbadg3S/Hj7WLnyuTNp0S4cgMx9eXxy33TKi1wr2uamZbKgdtXfwKhwJsTHnLIsZrOZjz/+GJvNxpw5c1i/fv1Rj/v6668pLi6mpqaGjz766JTl+TN5lVWM/3UhG3ILAFdP4mnjhhLopY1XzV3mmqVkrVsBQES33sQOHGFsIBGRRqYCoIh4DBPwRK+kuo+fWL/VuDAiJ8tkouuNf6v7cPN//2NcFpFGNn/+fACioqLo0kUN95sjL5uVq16YQKtuLQDITSnko3unUVZUccRxj6/77WftU326cKrKuRMnTqR3794AfPDBB3963JIlS4iJiSE6Opr333//FKU5toKqaibMXMT2giIA+keGMW3cUPytKgI2d5ve+214TLeb7wG9QSEiHkQFQBHxGJe0TaB7WAgAPx9KY2VWrrGBRE5Cy9GTCGnXGYDUJXPI3Xr01S4i7mjevHl1t0ePHm1gEjkai5eZS58cS5uesQAUZpbw0T3TKMn745bbZZk5zEzJAKBXeCjntY47JZn+/ve/191esmTJMY8tLS0lLy/vlOQ4UdkVlUyYuYj9xaUADIqO4LvRg7BZ9OdXc5azeS3pKxcBENqhC/HDxhmcSESk8egnkIh4BIvJxGO9XKtInMA/12n1n7gvk9lC1+vvcn3gdLLl/VeNDSTSyObOnYuztp+l+gA2L2aziYseHUXHgS0BKMop5f2//0xBZvGfPuexdVvq+u0+2asr5kZeNRUSEsKIESMASElJISUlpVHPf6qklJZz5q+L6iYBj4mL5vMRZ2A1a1VZc7b53Zfr+u12u+luTGb9ySwinkHfzUTEI1ye2JJOwYEATNmfzMa8AmMDiZyEVmPPIahVIgCH5k8nf/c2gxOJNK709HR27NgBwPDhw7FYLAYnksPOfWA4XUe6vv+UFlTw0T3TyE8rOuZz1uXk89PBVACSQoO4qHV8o2YaMmRI3dfIwYMHATCZTFxxxRV89tJzTH3zP3zwwQdceeWV+Pv7N+prn6y9xSWc+esicmonAZ/XKo7/G9TH4FRyLHk7t5CyZA4AwW3akzBygsGJREQahwqAIuL2zCYTD/VwbZV0OJ08tV7FEnFfJrOZpGtuB1xTCbd88JrBiUROjcPbgIODg+nTRwWR5mDEtb3pPaEjABWlVXzywHSyD+af0HP/uX5r3SrAR3p2btRegGeccUbd7YKCAmw2Gz/88AO9evVi8oefcs9zLzF9+nSeeOIJdu3axfnnn9+Ir37ythUUMe7XReRXVgFwY4c2PNS9k8Gp5Fi2/Pc/dasAk665U70ARcQjqAAoIm7vwtbxdav/vjuQUtd0W8QdJYyYULf6L3nBDIoO7DE4kcipoT6AzUvXkYmMur4fAPZqB1/+YxZpO7NP+Pmb8wr5+VCa61yhwZzTqvF6AbZo0aLudkFBAa+++iofffQR999/P2u3bmN/cgpTpkyhf//+VFVVMWXKFG6//fZGe/3GsCmvgAvmLqPS7gDg6b7duCKxpcGp5M8U7N1B6pK5AIQkdiR+yBiDE4mInDwVAEXErZmAR2pX/zmBFzftNDSPyEkxmUi69g7XbaeT7Z+9Y2wekVNo3rx52O12QH0AjdaqWwsufHQkJpNr0dMPLy5k37rUep/n6fXb6lYBPtYzqdFWAYaHh9fdTkxMxNfXl6lTp/7huIKCAu644w7MZjOvvfYagwcPbqQEjWNxRjY3LF6FE9fvL+8O6cug6AijY8mf2PLha3WrALtcf5dWAYqI21MBUETc2tktY+kWFgzAL4fSWJ97YluVRJqjuCGjCUl0bQtLXTqX/F0aZiOeq6CggA0bNgCuHm8+Pj7GBjpNhcYGcfm/xmP1cvXYm/fhajbM2tWgc63PzWdW7UTgnuEhjI9vcZxnnJjAwMC622eccQZvvPHGnx47c+ZMsrOzsVqtvPLKK43y+o3p633JPF3bqsTHYmHqmMG0DwowOJUcTf6uraSvWgxAaIckYgYMMziRiMjJUQFQRNzaIz07191+ZsN2A5OInLwu19xZd3vrx/9nYBKRpnF4G7CPj88Rfd6kafgF+XDNixPxD3EVXzfN3cPCT9ad1Dmf3vBbH97Heiad1LkOKy0trbudn5/PmjVr/vRYh8PBli1bAOjfv3+z/Lp6ev1WPt3jGmYSbvPml/FDifSxGZxKjmbrh7/14e16/V8NTCIicvJUABQRtzU6Npq+EWEAzE7NZE1OnsGJRBouuu9gwjp3ByBj1WLytm8yOJHIqff7PoDaBty0rF4Wrnh2PBEJrlX0+9en8f1z8w/veGywFVm5LEjPAmBAVDjDWkSebFSKin7r7Xvo0CGcxwmZl/fb7wNnnnnmSb9+Y3MCty5Zw6IMV4/FxMAAvhk1EJtFf5o1Nzlb1pO1bgUA4V16EdVzgMGJREQaTj9lRMRt3dutQ93t5zZq9Z+4t06X31R3e9snbxmYRKTpLFq0iMrKSkCDQJraWXcPoVU31xbd7EMFfPnYLOzVjkY593Mbd9Tdvq9bx5M+X2FhYd3ttLS04x5fUVFRd7tjx5N//VOhyuHgornL2FlYDMDQFpH854xeBqeSo9n6yZt1tztdcbOBSURETo4KgCLilrqFBTM2zvWHy5qcvLp30UXcUUhiJ2L6DwUgb/smsjasNDiRSNMoKytj1apVgGu7ZlBQkMGJTg99zupEn0mufqOlBRV8+sB0yosrG+38c9My63ryTkiIISn05P533bnztwFfx1v9B9QVleHIASLNTV5lFWfPWkxOhSvvzR3bcn2HNgankv+VuWZpXU/e2IEjCG7T3uBEIiINowKgiLil+7t1qpsuqMm/4u46X3lL3XTB7Z9r8q+cXg5vA7ZarQwZMsTgNJ4vpl04k+5yTcd1OpxM+ddc8tOLG/11Xt7sGiRiAu7penKr8NavX19329fX97jHe3t7193Oz2/ew8H2FZdy+fwV2GsLm68P7EXviFCDU8n/2vHFe64bJhOdLrvp2AeLiDRTKgCKiNuJ9/fl4jbxgOsX5x8PphqcSKTh/KJakDBqEgAlacmkLJptcCKRpqU+gE3HN8jG5f8aj5fNCsDs91axZ3XKKXmtb/cns6/YNbzjysSWxPsfv3D3ZzZs2EBVVRVwYiv6fj9R+sCBAw1+3aYyPz2LJ9e5Vpj5WCx8O2oQERoK0qwcmjedkrRkAFqNPw+/qMaZcC0i0pRUABQRt/O3Lh3wMru+fb2yeWfdu+Yi7qjjJTdgtrr+GN/x5Xs4HXaDE4k0rRUrVtRNeVUfwFPHZDZx8WOjCY0JBGDH0gMs+XLDKXs9u9PJG9t2A+BlNnNH53YNPldJSQm//PILAK1bt8ZkMh3z+LCwsLrbs2e7x5sqz23cztQDrjc0WwX48fmIAViO83lK03E67Oz69iMAzFYr7S+8xthAIiINoAKgiLiVQC8rN3Z09cfJqajkkz0HjA0kchKsfv60PftSACoL89k/43uDE4k0vaqqKpYsWQJAjx49iIiIMDiRZxp9Q1/a908AIDelkO+eOfmJv8fzwa795Fe6Vu7d0ikR/9o3Oxriww8/BCAoKIhu3br96XFms5muXbsCsGvXLubPn9/g12xKTuCGxavYUTsUZHRsNI/2TDI2lBxh3y/fUFXsGkiTeO7lWH38DE4kIlI/KgCKiFu5pn1rgry8AHh7x17KarRaStxXmwkX4uUfAMCeqZ9jryg3OJGIMQ5vAzaZTIwYMcLYMB6o46BWDLvSNWG2urKGr/85h4rSqlP+uiXVNby7cx8AId5eXNWuVYPPNW3atLpi3uWXX/6nx40ePZqoqCgAHnzwQex29/k9obi6hsvmLa/73eYfPTszIT7G4FRyWE15GXt//BIA74AgWp95nrGBRETqSQVAEXEbJuD22i1E1Q4H7+3YZ2wgkZNhMtH+gqsAcNTUsOfHLwwOJGIc9QE8dQIj/Ljg4RGYzK7tpD+9vJj03TlN9vpvbttDtcMBwJ1J7Wjoplan08mtt95KTk4O99xzD4MHD/7DMcHBwbzzjmuQ0ksvvcQPP/zQwFczzpb8Qm5dugYAs8nEh8P6EePnc5xnSVPZ9d0nOGpqAOhw0bV1A7xERNyBCoAi4jbGxbegU7Crd9F3B1JILdNqKXFfMf2HEtQqEYDkBTMoz840OJGIcdavX09eXh6gPoCNyWSCCx8ZhV+Qq4C0cupWNszc1aQZUsvK+elQGgBJIUGMjI1q8Ll2797N6NGjSU9PZ86cOdx9993ERkUSEhTIeeedx+rVq4mNjeXBBx/k/vvvb6xPocl9ufcQ7+zYC0CEj433h/ZrcOFUGld5diapi119JYNatyO690CDE4mInDgVAEXEbfwl6bcG4m9s22NgEpGT1/6ia+tu757ysYFJRIxnt9tZuHAhAB06dCA+Pt7gRJ5h4MXdSewTB0DWgXxmvrXCkBy//5n9l6T2J3WuTZs2kZSUxJNPPslVV13Fxl++Y8+c6Tz33HP8/PPPJCUl8eKLL55sZMPdu3IjW/Jd/ebGxbU46esmjWfXd5/U3e7wu5/lIiLNnQqAIuIWEgMDGB/XAoANuQWsyMo1OJFIwwXEtSRmwDAA8ndtI2fLeoMTiRhP24AbV1TrUMbc1A+Ammo73z49l+rKGkOyLM7IZl1OPgBnJcTQNtD/pM5XVlbG888/T58+fYjsP4yI/kPp3Lkz9957L/v2eUZ7kAq7nesWraKqdvv08/260zU02OBUApC9YRV5O7cAEDt4FAGxCQYnEhE5MSoAiohbuLVzIubaPiuvb9ttcBqRk9Pu/CsxmV0/gndN+cjYMCLNhAqAjcfqZeHix0bjZXNN3Z3739Vk7DH2jbO3are0mk0mbumUaGgWd7Eht4B/rtsKgM1i5vMRA/CxWAxOJQB7vv8MAJPZTLvzrjQ4jYjIiVEBUESaPZvFzLXtWwOQW1nF1/uSjQ0kchLMXt60mXARAJWFBRya84vBiUSah23btpGamgrAmDFjDE7j3sbc3J8W7cIBOLAxnWXfbDI4EXy19xB5la7Jw9e2b423WX+GnIiXNu9kQXoWAF1Cg3midxeDEwnAwTk/U1VUAECbiRdi9vIyNpCIyAnQT14RafYubB1PuM0bgE92H6DCbjc4kUjDJYycgC04BIADM77DXlVpbCCRZmTBggUAxMXF0aFDB2PDuKnWPWIYdHE3ACpKqpjyzDwcDqfBqaDcbuezPQcBiPSxcV6rOIMTuQeH08l1i1bVFU/v7dqBkTENH6QijcNeWcGBmT8AYAsJI37YOGMDiYicABUARaTZu7lj27rbH+7ab2ASkZPX7pzL6m7v/eUbA5OIND/z58+vu61twPVn8/Pion+MwmR2tcz46eVFFGaWGJzqN+/t3MfhUuRNv/vZLseWUlrOXctdvWLNJhPvD+1HgJfV4FSy58cvwen6ik48+7LjHC0iYjwVAEWkWesUHMiQFpEALEzPZltBkcGJRBouqFUikT1cTfmz1q+k6ICmWYv83pw5c+puqwBYf2Nu6k9wVAAAG2ftZvO8vQYnOtL2giKWZ+YAMDI2ig7BgQYnch9f7TvEl3sPAdAywI+nenc1OJEUHdhDzpZ1AET3GUhgQhuDE4mIHJsKgCLSrN3UqS2m2tvv7fSMyX5y+ko85zKoHWaz98cvDU4j0vwcPHiwborrqFGjMKtP3AmL7xxF//Nd/eHKCiuY/sYygxMd3X9rV/KbgOs7qGBSH39fsZ6sClfbiL8kteOMqHCDE8nen75y3TCZaHvWJcaGERE5Dv1WJSLNls1i5up2rQHIqahk6sEUYwOJnASzlzetz7wAgMrCfJIXzjQ4kUjzdHgacHh4ON27dzc4jXswW8ycc98wzLVbf6e9upSywgqDUx3dt/uSyf/dMBAvFXlPWG5lFQ+s2gi4tgK/NaiPrp/BDs2bTlVxIVA7DMSqrdki0nzpJ4aINFtnJcTWDf/4dM9BKu0OgxOJNFzckNG/G/7xPY7qKmMDiTRThwuAoG3AJ2ro5T2IqZ36u3tVMpvmNt/2AuV2O1/UbmWN8rExIb6FwYncy2d7DjI7NROAbmHB/L1Le4MTnd7slRUcnPUjAD6h4cQMHGFsIBGRY1ABUESarWvat667/cmeA4blEGkMbSZcUHd7/4zvDUwi0rzNnTsXZ21jfRUAjy88Ppjh1/QGoLqihp8nLzE40fF9/Luf6b//WS8n5valaymtqQHg8d5dSAwMMDjR6W3/9O/qbreZcKGBSUREjk0FQBFplqJ8bIyLiwZgfW4+m/MKDU4k0nA+oeG06D8MgPxdWynYu8PgRCLNV1ZWFlu3bgVg2LBheHl5GZyo+TKZ4Ox7huJlc207nPv+avLTmv+wrHU5v/1cn5gQQ6SPzeBE7uVASSnPbNgOgK/FwjtD+tT1S5aml7dzS93P9diBI7GFhBmcSETk6FQAFJFm6ap2rer62nyy+6DBaUROTuvx59f1Bdo/47vjHC0ih7cBBwYG0q9fP4PTNF89z+xIYp84ANJ2ZrP8uy0GJzpxn+11/Wz3Npu5tG2CwWnczytbdrIxrwCAETFRXJHYythAp7kDv/4AgNnLi1ZjzjI2jIjIn1ABUESapcPDP6odDr7ad8jYMCInqfWE8wFw1NRwcPbPBqcRaf7UB/D4bH5ejLulPwAOh5MfX16Mw4165X625yA1DtdW72tqf+bLiatxOLl1yVrstdvlX+zfnSCtljXMgZlTcdrtALTWNmARaaZUABSRZqdneAjdwoIBmJ6cTnZFpcGJRBoutEMSIYmdAEhbPp/KgjyDE4k0fwsWLMBe+8e0CoBHN+yq3gSE+QGwaupW0nZmG5yofjLLK5iVmgFA74hQuoQGG5zI/azJyeO9nfsAiPb14d5uHQ1OdPqqyMshfeUiAMI6diW4bQeDE4mI/JHVr2vf4x5ka+36BuZ0uM+7iu5I17lp6Do3jZO5ztck/NY75esqL07k+9TpSl/PTeNkrnO7C6+qu52+ZaO+no9BX89NwyvatWW0OX8tVgPrt+2gb7cuDBo8mPA+gymvdK83g07l13NIuDeDLukKQEVZzf+zd9dhjp5l+8e/kcm4u+zOrLu7a50abWnx4hSX0uJQnJfCD4dSoFC00FKk3nV3d5uV2XHXzEzk90cymSy0KzN58kwy5+c4ON5n32aSs+lscufKfV0327a7B/R/z9fzVKeNm/3X75gzh0fKrv0LksH+uvHtdiv3ujyk2618evJY/mJJ4nynK+SPM9if56tRfmg/BfOXATDyLR/g6D//cs33oec5PPQ8h4ee5/C4ludZOwBFZECxAHdkJALQ5PbwalO7uYFE+sNiIX/6XAC6O9qoOrzP3DwiEWT9jp0AxDoczJ02xeQ0A8vSO4uwx/iOfdj0QgUdbaEv+ITDi43ttPjblt+YmaiDLPqgweXh0fJGAOKsFr5SlG5uoEGs6uAuXB0dABTMnO87pUdEZACxtx/adcUbWfyD+K/mttJ3ep7DQ89zePT1eV6Ul83Q2GEA/OP0ORoO6L/T5ej3OTz6+jxnT51NQmY2ABfWvEDrvq0hzxZN9PscHt3zfUXpgf48v/zUn/n0e+4HYMHwIp7/9c/NDXSNjPp9HjIhl7FTZwBQX97Mpl++hLs7MndXtAP/Trfw1hHFDIu1M6HqDDtqrm0XoF434P8dsXL/G29gVEoSd2cm8dNtO9lcVRvSx9DzfHXKNrxMyQ13kJiVQ7y7m7oj+67p5/U8h4ee5/DQ8xwe1/I8awegiAwowScB/vXMBROTiPRf8YrekwB1+IfItdm4cSNOpxPQHMAeFgvc/NH5gY1FL/5kS8QW/3o8FfRef+/woSYmiVxdHg+f23kA8HVSfG/2FO2mNMn51c8FrofqNGARGWBUABSRAcNutfDGkiIAapydrK+sNjmRSN9ZbDaKlt4IQGdjPdV7t5mcSCSyOJ1Otm3z/b2ZOXMmaWlp5gYaAKZcN5qicTkAlO4t59iWcyYn6r9XL1ZR19kFwJuGDcGmtsk++ee5i6wurwJgdnYG941QMdUMlTs20tnUCMDQFbdgsdrMDSQiEkQFQBEZMJbn55ITFwvA30sv4PJ4TU4k0ne5MxcQl54JwPk1z+P1n2gqIldvzZo1ANhsNhYvXmxyGnPZHTaue/9sADweLy/8dIvJiUKj2+Ph2bNlAOQnxLEwL8vkRJHr4Z0H8Hh9a6dvzphEnE3Fp3DzuFyUrX8JgPjMHLKnRN7hPCISvVQAFJEB465hRYHrp9T+KxFuiH/3H8D5Vc9d5pYi8np6CoCgNuBZt40nJdt3SNbeF45TearO5EShE/yef1dJ0WVuKZezr66RJ0/5doUOTUrgvWOGmZxocApuAx6y7CYTk4iIXEoFQBEZEGwWC7cNLQCgvL2DrdXR88FGBh+L1UbRousA6KitovbQHpMTiUSm7du309zcDAzuAqDdYWPhm30nIbu7Pax7MrpeUzZU1lDj7ATgjuJCrGoD7rOv7T1Mp/9k5YcnjyNeuwDDrnrvDjobfYfZFC2+PjCgX0TEbHo1EpEBYUFuFtn+9t9/nSsPtLCIRKLsyTOJTcsAoGzjq3g9kT2kX8QsLpeLTZs2ATBx4kTy8vJMTmSO2XdMICXLt/tv13NHaaxqMTlRaLm9Xv5zvhyAgoR4ZmVnmJwocp1vbed3J0sBX0v1e8cMNznR4OP1uLm4aRUA8Vm5ZIybYnIiEREfFQBFZEC4o7gwcP3PcxdNTCLSf0VLrg9cl61/xcQkIpGvpw3YYrGwdOlSc8OYwO6wsfDeyQC4ut1s+NNekxMZI/i9P3hNINfuO/uP9e4CnDKWBLt2AYZb2Ybe9/6ixddf5pYiIuGjAqCIDAi3+tt/G7u62VhZY3Iakf4pXLgCgK7WZmr27zA5jUhkC54DuGzZMhOTmGPOnRNI7tn99++jNNe0mZzIGKvLq2ju7gbgbs0B7JcLbe389oRvF2BefBzv0y7AsKvcuZnutlYAhi7XHEARGRhUABQR003PSmdYsu/DzX/Ol9OldkmJYBljJpKYPwSA8k2r8fg/0IpI3+zfv5/a2loAVqxYYXKa8HLE2Vn45qkAuLrcbPzzPlPzGKnT7eGFCxUADEtOZFJGqsmJItu39h+hw3/6/GcmaxdguHm6uyjfuhaAxPwhpI0Ya3IiEREVAEVkAOg5/APgX2r/lQhX6D/8Ay5tARKRvvF4PKxbtw6AESNGUFJSYmqecJp95wSS0uMB2PnvIzTXRufuvx7BbcC3D1UbcH9UtDv57fHeXYAfGDvC5ESDT/AIkMJFK01MIiLiowKgiJjuliH5ADjdbl65WGlyGpH+KZjva1F0d3VSsWOjyWlEosNgbAOOibWz8F7f4QHdna6o3v3X4+WyysDsupv9awPpu+8eOIbTvwvwwUljiNOJwGFVsX09nu4uoHdtICJiJhUARcRUBQnxTM1MB2BtRTXtLrfJiUT6Lj4rl/RR4wGo2r0Vt7PD5EQi0SG4ALh8+XITk4TPlOtHkRjY/XeUlrp2kxMZr6XbxaYq3xzgmVnp5MbHmZwospW3d/D48TMA5MbH8dYRQ01ONLi42tuo2b8TgIyxk4nLyDI5kYgMdioAioipbh6Sj8V/3TP7RyRSFcxfBhbfb3TFlrUmpxGJHsePH6esrAzwzQG0WCxX+InIZrHA/HsmAeDxeNn2zEGTE4VPz1rAarFwQ1GeyWki3w8PncDl8QLwqUljiO6/OQNPuX8tYLFayZ+z2OQ0IjLYqQAoIqYKbvF58YLafyWyFczrbfEp37bOvCAiUahnF2B+fj5jx0b3QP1Rc4aSXezbHX943RkaKlpMThQ+z53v/TLw5iK1AffXudZ2/nXeN1txTGoy1xWqqBpOFzevDlyrDVhEzKYCoIiYJtZmZXl+DgBHGpo52xrdw80lulljHOTOnA9AU+lJ2irKTE4kEl0GUxvw/DdNDlxv/fvg2f0HcLqllZPNrQBcX5RLjFUfV/rrh4dOBK4/MXGUiUkGn9aL52kpOwtA3uzFWO12cwOJyKCmd1QRMc3ivGySYnwLoefL1P4rkS1n2hzs8QlAb8uPiITOqlWrAtfRXADMHZbB8Om+E3AvHK7iwpEqkxOFX08bcEpMDPNzM01OE/m2VtexvboOgOsL85iUkWpyosGlZ00Qk5hE1qQZJqcRkcFMBUARMU1wG8pLKgBKhMubvTBwXaH2X5GQu3jxIidPngR8BUBblJ5oOv9Nk3pGibLlbwfMDWOS4DXBdQVqWQ2FHx0+Gbj+6HjtAgynim3rA9d5sxeZmEREBjsVAEXENCsLfO2/7S432/zfTItEqryZCwBwOzuoPbTX5DQi0Wn1at88rbS0NKZOnWpuGAMkpsczeaWvONNY1cKRjWfNDWSSjZW1dLjdAKzwrxWkf545W0Zpi2/UyltHFJOnE5bDpmbfDtydTgByZ8w3OY2IDGYqAIqIKbLiYpmY7mtB2VBZQ6fbY3Iikb6LTU0ndfgYAKr37cDT3WVyIpHoFO1zAGffNh67w7ezcdszh/AM0vdGp9vN1irfF4PTs9LJiHWYnCjyub1efnH0FOCbwfy+McNNTjR4uLs6qT24B4CMsRNxpKSZG0hEBi0VAEXEFCsLcrH6e5xWlw+++UYSXfJmLcTiH1RfuWuzyWlEoteaNWvweHxFsWgrAFqsFmbc4jvduKujm93PHTM5kbl61gY2i4Wl+doFGAq/OVFKa7cLgHeNHhZYh4nxetYGFquN3OlzTU4jIoOVCoAiYorlQS09q1QAlAjXc/ovQNVOFQBFjFJXV8fBg75TcRcvXkxsbKzJiUJnxMwiUnOTADi45jTOtsG9kzh4baA24NBo6urm76UXABialHDJWkyMVRX05WCuf2SIiEi4qQAoIqboWXRWOzs5VN9kchqR/umZ6eNsqKPxzHGT04hEt545gAkJCcyePdvkNKHTs/sPYPfzg3v3H8DeukZqnZ0ArCjINTlN9Hji5NnA9btHDzMvyCDTcOIwnU0NQO/MYBGRcFMBUETCbnhyIiVJiQCsKa/Ca3Iekf5IKhhCYn4RAFW7t4BXv9EiRorGOYAJKXGMXVAMQO35RsqOaGe8x+tlXUUNACNTkhialGByouiwpaqWo43NANxRXEhWXPTsoh3IvB4P1Xu2ApBUVExCboHJiURkMFIBUETCblFeduB6vX9xLxKpsqf27kCq3rPNxCQig8OGDRvo7u4GoqcAOPWGUdhjfId/7HruqL5H8NtQ2btGWJibZWKS6PKkfxegw2rlvuFDzA0ziFTv3RG4zp4yy8QkIjJYqQAoImEXvIjfVFVrYhKR/gtexNcc2GViEpHBoaWlhV27fH/X5s6dS2JiosmJ+m/ajb5TxD1uD/tfPWVymoFjY1VwATD7MreUa/HkqXN0+w/Tea9OAw6bmv07A9cqAIqIGVQAFJGw69kBWOPs5Ji/DUUkUuVM8e0A7Gysp/ncaZPTiAwOPXMAHQ4HCxcuNDlN/xSOzSZvZCYAxzafo7W+3eREA8eh+ibqO32HoSzK0w7AUKnqcPJSWSUAE9NTmZ6VbnKiwaHxzHG6mhsByFEBUERMoAKgiIRVfkIcI1N8pxxurKzR/D+JaPGZOSQV+eZ2Ve/bofl/ImESTXMAgw//2POCDv8I5sU3sw5gbFoKOZpXFzJPnCgNXOswkDDxeqk5uBuAlOIRxKVnmhxIRAYbFQBFJKwWB83/U/uvRLrsab3z/4Jbe0TEWFu2bKGjowOI7AKgzW5l4tIRALTUtnFy+wWTEw08PWsFC7BAuwBD5oWyCio7nADcXVKE3WoxOdHgEFgrWCxkTZ5pbhgRGXRUABSRsFoQNP9vY6UKgBLZsoMW7yoAioRPZ2cnW7ZsAWDatGlkZGSYnKhvhk8vJD7Ft6vt4JrTeDzaRfzfLj0IRHMAQ8Xl8fJMaRkAWXGxLM3PMTnR4FCzT3MARcQ8KgCKSFjNzfa1O7R0uzhQ32huGJF+ypwwDQBXexuNp9S6JxJOPW3ANpuNJUuWmJymbyYs7T2A4fD6MyYmGbj21jXS4XYDMDc7Mgu9A9UzZ8sC13eVFJmYZPBoOHEId6dv52XWhKnmhhGRQUcFQBEJm3ibjUkZqQDsrq3HrXlpEsFssXGkjfDN7qo/dhCvx21yIpHBpecgEIjMNmCrzcrYBSUANNe2ceFItbmBBqhuj4c9tQ0ATM1MJ9amjy+hsqmqlop2XzHqzuJCtQGHgcflov74IQDSR0/AGuMwOZGIDCZ6BxWRsJmWlU6M1feys72m3uQ0Iv2TPnoCVrsdgLoj+8wNIzII7dq1i8bGRiAyC4DDpxeQmBYHwOH1pXjV/vu6etYMsTYrkzPSzA0TRTxeL/88dxHwtQEvUot1WPSsGawxDtJHjTM3jIgMKioAikjYzAlq3dmpAqBEuMyg1p26I/vNCyIySLndbjZu3AjA+PHjKSwsNDnRtbmk/Xed2n8vZ0dNXeC6Z5SIhMYlbcDD1AYcDnWHe9cMmWoDFpEwUgFQRMJmlgqAEkUyx00JXNcdVQFQxAw9cwABli5dal6Qa2S1Whjnb/9trW/nwqFKcwMNcDuC1gyzNQcwpDZW1lDt7AR8bcA2i9qAjRbcNZA5fqppOURk8FEBUETCpmfRXtbWwcX2DpPTiPRP5nhfAbC9upKOmiqT04gMTpE6B7BkWgGJ6fGAb/efTv+9vPOt7ZT71w2zc1QADCW318s/z/ragHPj41iYl2VyoujXXlVOR61v3aACoIiEkwqAIhIWmbEOSpISAdhVq91/EtliU9NIzPe1StUfO2ByGpHB69ChQ1RV+T5Ir1y50uQ0V2/8omGB68PrS01MEjl2+Q8CGZ6cREasDk4IpeA24DuKI6uVPlLVHz0IQFLBEBwpaeaGEZFBQwVAEQmLaVnpgeue0/xEIlX66ImB657T/EQk/LxeL+vWrQNg6NChDB8+/PI/MECMmu37AqGjuZNzBypMThMZ9vrXDhbQQSAhtr6ymsaubgCuL8wzOc3gUH/Cv3awWEgbOdbcMCIyaKgAKCJhMTVosb63rtG0HCKhkBZ0al/jicMmJhGR4DmAK1asMDHJ1UnPTyajMBWA07vL1P57lfbVNwaup2WmmZYjGrk8XtaWVwMwJjWZYcmJJieKfo0njwau00dPMDGJiAwmKgCKSFhMDVqs76vXDkCJbMGL9YYTR0xMIiLBBcBImAM4as7QwPWpnWWXuaUE2xf05aF2AIbeq+W9B9GsKMg1Mcng0BD05WH6yHGXuaWISOioACgiYTE109cCXNXhpKLdaXIakf5JHzUeAGd9LR111SanERncTp06xdmzZwFfAdAywE8xHTmrKHB9apcKgFfrQls7tf7TarUDMPReKes9zOr6QhUAjdZeXUFnk+8L8TT/mkJExGgqAIqI4RLsNkalJAFq/5XIZ4uLJ3lICXDpN/giYp61a9cCkJOTw4QJA7edzmqzMmxaAQDVZxtoqmo1OVFk2e9vAx6bmkKczWZumChztrWNE00tACwvyMVuHdiF9GjQeNLXQZBaMhKbI9bkNCIyGKgAKCKGm5SRhs2/I2OfCoAS4dJGjMVi9X3wbDip9l+RgSBS5gAOnZhLXKLvBNtTOy6YnCby9Kwh7FYL49NTzA0ThV656NsFmOaIYWZWhslpol/PGsJis5E6bJTJaURkMFABUEQMNyGtd5F+sKHRvCAiIRC8SG88fczEJCLSY/Xq1YHrgTwHcOTsIYHrk5r/d80ONjQFroPXFhIar17snQOo04CN13jqeOA6RQVAEQkDFQBFxHDjghbpRxqbTUwi0n+pJSMD182lp0xMIiI9KioqOHbMV5BfsmQJtgHaHtoz/8/V5ebc/gqT00Seo0FriLEqAIbcuooaOt0eAG7QHEDDNZ/rXUMEry1ERIyiAqCIGG68f5Hu9no52aR5RxLZer6l93rctFwoNTmNiPTo2QWYmprKjBkzTE7zv2ITYsgflQXAuQMVdHe6TE4UeY42NuPxegHtADRCm8vF1upaAGZkZZBot5ucKLo1nT2F1+MruGoHoIiEgwqAImK4nh2Ap5tbcbrdJqcR6Z+eb+lbL57H3dVpchoR6THQ5wAWjc/F6j9Y4dyByivcWl5Lu8vN+bZ2AMZpBqAhNlfVAb45izOz001OE93czg7aq8oBSC1RAVBEjKcCoIgYKinGzpCkBODS1h2RSGSPTyAhJx/wfXMvIgPHmjVrcPu/ZBqIcwCHTuhtqTx/uMrEJJGtZy0xLCmRBPvAbPWOZNuq6wLX83OyTEwyOPSsJRLzi7DFxZucRkSinQqAImKo8WkpWPzXmv8nkS512Gjwn2jdXHrS5DQiEqyxsZH9+/cDsHDhQuLi4kxOdKkhE30FQK/Hy8Wj1SaniVyHG3xrCavFwujUZJPTRJ+t1bWBNuu5OZkmp4l+PWsJi9VKytBhJqcRkWinAqCIGGpM0OL8eFOLiUlE+i85aHHefO6MiUlE5LX0zAGMi4tj7ty5JqfpZbFA0dgcAKrPNuBs6zI5UeQ6FvRl4jjNAQy5xq7uwHptbk5m4EtcMUZT0EEgKcU6CEREjKUCoIgYakRKUuD6ZLMOAJHIllxUErhuKTtrWg4ReW3BcwAHUhtwdnE68SmxAFxQ+2+/nApaS4xITrrMLaWvetqAM2MdjNIuS0O1lp0LXCcVDjUxiYgMBioAioihghfnp1UAlAgXvDhvVQFQZMDZsGEDXV2+3XUD6SCQIZr/FzKnW3rXEsOTE01MEr2C5wDOUxuwoS4tABabmEREBgMVAEXEUCP9OwCburqpderEVIlsPYvz7tYWOpsaTE4jIv+tvb2dHTt2ADB79mxSUgZGi2hwAVA7APunot1JS7cL6F1jSGhtDSoAag6gsTrqqnG1twGQXKQCoIgYSwVAETFUTwuwdv9JNOhZnLdcPHeFW4qIWXrmANrtdhYuXGhyGp+i8b75fx3NndRdaDQ3TBQ42+IrmIxQAdAQx5paaOzqBmButgqARmutuABoB6CIGE8FQBExTKrNSkasA4BTLSoASmSLiU/EkZIGXNqyIyIDy0CbA2iPsZE9NA2Ai8dr8B+wKv3QMwcwNz6OJJuOqQg1j9fL7tp6AMamJeOw6iOjkXrWFHEZWdgG2OnlIhJd9GouIoYZHmcPXGsHoES6xJzeFr5W7QAUGbC2bdtGW5tvh9hAmAOYXZyG1eZbcledqTc5TXQI/lJxmCPGxCTR63CD77TlGKuV0ToIxFAtwXMAs/JMTCIi0U4FQBExzBBHbwGwp11HJFLFZ2QFrtsqykxMIiKX09XVxebNmwGYMmUKWVlZV/gJY+UMzwhcV5eqABgKwWuK4qAvGyV0Djc0Ba4npqeamCT6tflbgAESMs19vRKR6KYCoIgYJrgAeL6t3cQkIv13SQGwqtzEJCJyJT1twBaLhaVLl5qaJXdYbwFQOwBD43xr75qiMMZmYpLodTCoADghfWAcphOt2oPWFHHpmrkoIsZRAVBEDFPo6F2Ul7V1mJhEpP/i03oX5e3VFSYmEZEr6TkIBMyfA5jr3wHo9XipOafTw0PhQtCXioUO7QA0wpHGZnrGVWoHoLGC1xTx6doBKCLGUQFQRAxTFLQov6AdgBLh4oO+lW/XDkCRAW3v3r00NPiKbaYXAP07ABsqmulyukzNEi3KgtYURSoAGqK12xVotVYB0FjtVcEFQO0AFBHjqAAoIoYp8u8AbOjsorVbH3okssVl+BblXS1NuDpU0BYZyNxuN+vXrwdgzJgxFBUVmZIjNs5GSk4SAJVq/w2Zxq5umru7gd61hoRezxzAkuREnbZsoK7WZrrbfAfbqAVYRIykAqCIGKanLUftvxIN4v0FQLX/ikSGnjmAYN4uwKyCeCz+ukn1GbX/hlJZq29tUagCoGF65gBagLFxOm3ZSD1ri561hoiIEVQAFBFD2C2QY/e9xJS1a7eURDaL1Upskq8Fqr260uQ0InI1BsIcwKy82MB1lU4ADqme0SL5DjsqARrjcENz4FoFQGP1FADj0tKxWPQRXUSMoVcXETFElt2G1b/toaLdaXIakf6JTUrFYvW9ZTrrqk1OIyJX48iRI5SX++Z1rly50pQMqZm9BcD68ubL3FKuVWWHb21hAzLs+khjhNMtrYHrISoAGspZVwOAxWLFkZRkchoRiVZ6txQRQ2Tbe7+Pr+pQAVAiW2xK7wB0Z32tiUlE5FqsW7cOgMLCQkaNGhX2x0/LcASuGytawv740Sx4bZEdoz2ARjjf2tvBUazDVgzlbOhdWwSvOUREQkkFQBExRE7QYrzG2WliEpH+cwQXABvqTEwiItcieA7gihUrwv74qRm+XVOd7d20N+vLsFAKXlvkxKg4ZYSqDidtLt8hbsWatWio4LWFIznNvCAiEtVUABQRQ+TE9L68aAegRLrY5JTAdfC39CIysK1atSpwbcYcwBR/C3BjlXb/hVrw2iJ4zSGh1bMLsChWLcBGCu4u0A5AETGK3i1FxBDBOwCrOrQDUCKbWoBFItO5c+c4c+YM4CsAWq3hW/ra7BaSkn0709T+G3rBa4scu3anGeWcvwBY6LAR03OktYTcJQXAZBUARcQYKgCKiCGyghbj1doBKBEueDGuAqBIZOlpA87MzGTSpElhe9zkdAcWq69g0lipAmCoBe8AzNIhIIY519oG+A5bKVQbsGE6g2cABnUdiIiEkt4tRcQQGUEFwLrOLhOTiPSfIyE5cN3V3GheEBG5ZmbNAbzkAJCq1svcUvqirrN3B2CmDgExTPBBIEN0EIhhOhsbAteOpOTL3FJEpO9UABQRQ6TZettEGlQAlAhnT0wMXHe1NJmYRESu1erVq/F6vUB45wCmBhcAtQMw5Bo6uwPXaTZ9pDHKWf8OQIChsSoAGiV4bRETn3iZW4qI9J3eLUXEEGn+HYBtLhddHo/JaUT6x5HgW4y7nO14uruvcGsRGUiqq6s5fPgwAIsXLyYmJjyHGSSn9j5OY7V2AIaa0+3G6XYDkKoCoGHOBe0AVAuwcdxdnbi7fLtaY+ITTE4jItFK75YiYohUu3/uUZeKJRL57PHxAHS3aBePSCTqaQNOTk5m5syZYXnMhKTe3VJtDR1heczBpmeNoQKgcWqdva3WGTYVAI3U3doMgD1BOwBFxBh6txQRQ6T6F4mNav+VKBCTkASo/VckUpkxBzAuqADY3tx5mVtKX/WMGEnVISCGCZ7jnBGjU4CN1NXsW2PEqAAoIgbRu6WIGKJnBqB2AEo0cPjbcbr8386LSGRZt24dbn+7aLjmAMYn+gqAbpeHrnZ9GWaEJv8aQzMAjdPU1Y3bP0NTOwCN1dXq6zJwqAVYRAyid0sRCTmrxUKS1VcAbFIBUCKcxWrFFhsHQHerWoBFIlFTUxO7d+8GYP78+cT72/qNFJfgK5Z0tHTir59IiPV8yZhit6K9acbweL2BnZbpdhUAjdTbApwAFv1Gi0joqQAoIiEXb7Nh9S9cWrpdJqcR6R+bIw6L1fd26Wpvu8KtRWSg6mkDjo2NZf78+YY/Xs8OwPYmp+GPNVi1+tcYNiBWu9MM09MGnKGdloZydfjWGBaLFVuM4wq3FhG5dnoVF5GQSwj6hrjdpQKgRDZbXFzg2tWpQf4ikSp4DmA42oATEv07AJtVADRK8BojQbvTDFPfUwDUrEVDuZy9rxW2OON3KYvI4KNXcREJuUsLgG4Tk4j0nz1oEe52qgAoEqk2btyI0/8B2+iDQGx2KzGxvvfC9iYdAGKUdnfvGkMFQOPU+U8CTrVbsVvVmmqU4DWGPejLRxGRUFEBUERCLsEedPKhWwVAiWzB38IHfzsvIpHF6XSybds2AGbOnElaWpphjxWfHBsY4dWuHYCGCf6SMXjtIaHV0wJsAdIcak01SnCXgS1WOwBFJPRUABSRkIsLmsPToR2AEuFsjtjAtbtTH+RFIllPG7DNZmPRokWGPY4jobdI0tmmE4CNEtwCHKcZgIYJPtAtJUaFVqO4g1uAY7UDUERCTwVAEQm54DacDs0AlAh3SQuwZgCKRLRwzQG0O3qX2K5uj2GPM9g5XWoBDocuT+/vsMOqj49GCf6SUS3AImIEvYKLSMgFfwvvdOuDj0Q2a/AOwC7N8hKJZNu3b6e5uRkwdg6gLagY5dZOeMN0BI0ZidcOQMN0Bq3lHHqeDRNcANQOQBExggqAIhJywQOiXV4VACWyWYM+7Hj1QV4korlcLjZt2gTAxIkTyc3NNeRx7DFBBUDtADSM2+sNXNt0OIVhurUDMCy8nt41hsWqQquIhJ5ewUUk5GyW3kV48OJcJBJZgguAHhUARSJdTxuwxWJh6dKlhjyGLaZ3ia0dgMZxeXrXGHaLCoBGCW4BjrXp46NRPEE7Wi3aaSkiBtAruIiEXPAi3O1RAVAi26UFQO3kEYl04ZgDaLMHFQC1A9AwwV8y2rUzzTBdbu0ADAdvUAHQatNhKyISenoFF5GQC27D0Q5AiXTBbTge7QAUiXj79++ntrYWMG4OoN0R3AKs1w2jXNICrB2AhukMeu/TDkDjBH/JaFGhVUQMoFcWEQk5tQBLNAkuAAZ/Oy8ikcnj8bBu3ToARowYQUlJScgf49JDQLQD0Cgur1qAw0E7AMPD63YFri127QAUkdCz3/SeB654I0f+EAC6Zs0wOs+gpuc5PPQ8G28GneBtAWDikhXctCT2Cj8hfaXfZ+PFDB8buJ68eDnjCvNMTBPd9PscHtPnzQfAPYgL2tWdvR+0P/blr/Hq5q0hvf+sEi/gK05NmL+MnLxlIb1/8Zno7QR8642ZK66nHa03jDAmaF0357qb6MZhcqLo5BgxPnA9beWNTBxeYl6YKKf1RnjoeQ6Pa3me9RWOiIiIiAwq+44eD1xPGTfGxCQiIiIi4WF/8Te/uOKNEifPBqDtwA6j8wxqep7DQ8+z8RKHFcGyeQAcWr+aF0+dMzlR9NLvs/GGLLuZBUveAMCBDWs4+9KzJieKXvp9Dg+b/2Cbq1kDRrMvf/A9FBUVMa54CC/99pd4QziyYvyiYYxefD0Ah7esZffzx0J239Ire1QJLJoFwK7Vr/Di2TJzA0WpgtHDYOFMALa/+iIvni83OVF0GnbTG5mz+GYA9q56iQtrXzQ5UfTSeiM89DyHx7U8z9oBKCIhp6HcEk28QcPPg08EFpHItnbtWgDy8/MZO3bsFW59bdyu3teN4BOBJbSC5/65NHPYMI6ggz+6PJppaRRL0Mm/XpfrMrcUEekbrUhEJOTcHhUAJXoEFwCtVhUARaLFmjVrAtfLly8P6X27uoIKgDF63TCKDh0Lj9ig975OtwqARgk++derQquIGEAFQBEJueBv4W1WFQAlsgWf/GvR6YciUWP16tWB61AXAINP/rXF6HXDKMEFQJcKJobRDsDwCO4y8Li1A1BEQk8rEhEJObUASzS5tAConTwi0eLChQucPHkS8BUAbSFs8Xd3BxUA7XrdMIrdqhbgcHAEffmlHYDGsQa9BnkH8SntImIcFQBFJORcQS3AdoteZiSyeYILgPogLxJVetqA09LSmDp1asju19Ud3AKs90GjXNIC7FEB0CgxVu0ADIfgLxmDx4+IiISKViQiEnLOoIJJnE0vMxLZPF2dgWubI9bEJCISakbNAbz0EBB9cWCU+KAdUx3aMWWY2OAWYD3PhrHFxgWu3Z1OE5OISLTSJ3MRCbn2oA8+8Xb7ZW4pMvC5nB2Ba1tsvIlJRCTUVq9ejce/oymUBUBXV+8uKbt2ABomLqi4Grz2kNByaAdgWAQXAF1OFQBFJPS0IhGRkAveARivnQ8S4dzBOwCDFuciEvnq6uo4ePAgAIsXLyY2NjS7fDvbuwLXccnaOWyUhKAvGZ3amWaY9FhH4Lqpq9vEJNHNFqcdgCJiLBUARSTk2l29J5clhHCouogZ3EE7AO1xKgCKRJueNuCEhARmz54dkvvsaO6k50yKhBQVAI2ScMkOQJ2aapRMfwHQ4/XSqAKgYexBXQbuzo7L3FJEpG9UABSRkAtuw0nQDkCJcJe0AMepBVgk2hgxB9Dj9tDV6XsvjE/RFwdGCf6SUS3AxsnwFwCb3F7cOm3ZMMFrDLUAi4gRVAAUkZC7tACoGYAS2dxBi3C7ZgCKRJ3169fT3e3b1RTKOYAdrb4dadoBaJzgNYYKgMbpKQDWuzX/z0jBXQbB3QciIqGiAqCIhFyH243H/w1xcowKgBLZ3F1OvP6h5/aERJPTiEiotbS0sGvXLgDmzp1LYmJo/p53tPsKUgnaAWiYJP8aww10agagYTLjfEXs+m49x0ayx/tee7xeD+7urivcWkTk2qkAKCIh5/F6afH4CoBpjhiT04j0j9fjweWfxeNITjE5jYgYoacN2OFwsHDhwpDcZ0ebbwdgfEosFktI7lL+S7p/jdHk8qDGVGNYLZbAWk47AI3Vs8bobmsHtVqLiAFUABQRQzT6F4lpDscVbiky8HW3twMQk6QCoEg0MmIOYE8LsNVmJTZB74VGSA3MptPONKOkOWKw+SvY9S4VAI3Us8ZwdbSZnEREopUKgCJiiCb/IjEtVjsAJfJ1t/sW49oBKBKdtmzZQkeHb6dvyAqA7b1FqfhUtQEboWcHYKNLu6WM0nMCMEC95iwaypGcCkBXuwqAImIMFQBFxBBN2gEoUcTV4dsB6NAOQJGo5HQ62bJlCwDTpk0jPT29//fp3wEIkJimAqARetYY2gFonJ75f9Db3SHG6PmSUTsARcQoKgCKiCF6FokJdhuxNr3USGTr8i/GbXHxWGNU1BaJRj1twDabjSVLlvT7/lqaugPXaTlJ/b4/uVS8rXd90eTWDkCjFCclBK4vdqnQahRbbFxgfdEzdkREJNT0qVxEDNEU1I6jXYAS6VxtvYtxtQGLRKdQzwFsrO89xTMtP7nf9yeXCh4x0qSdaYYpSeo9FftcZ/dlbin9Edxh0O1UAVBEjKECoIgYoi5oTkxWUPuISCTqamsJXMemZZiYRESMsmvXLpqamgBYsWJFv++vKbgAmKsCYKhlx/W2VddqNp1hhgbtACzTDkDDxKZnBq67WptNTCIi0UwFQBExRE137yIxRwVAiXCdzU2B67igRbqIRA+Xy8WGDRsAGD9+PAUFBf26v5aGLrwe3274tFy1AIdaTnzv2iJ4zSGh1bMD0I1agI0UvLYIXnOIiISSCoAiYoiaoG/jc+M1/FwiW2dLcAEwy8QkImKk4DbgpUuX9uu+3C4vrS2+g0DUAhx6uUE7AGtcagE2SnGyrwB4sctNt1ezFo0Sl9G7tuhs0Q5AETGGCoAiYojq7uACoHYASmS7pACYoQKgSLQK9RzA5rpOANLzVAAMteC1RbV2ABrCAgxN9LUAX9D8P0MFf7moHYAiYhQVAEXEENVB38YHz+kRiUTBBcBYtQCLRK2DBw9SVVUFwMqVK/t9f411vjmAjvgYElL0XhhK2UHdBdXd2gFohJz4OBLsNgDOdbpMThPdgtcWwWsOEZFQUgFQRAxRox2AEkUumQGoHYAiUcvr9bJu3ToAiouLGT58eL/ur6mhd9eU2oBDKzdOMwCNVhx0AMh5PceGuqQFWDsARcQgKgCKiCHqXG48/lkxeQna9SCRrau1Ga/Ht8MkLiPb5DQiYqRQtgE3+VuAATILU/p1X3KpnvnCbqBBpwAbYkRK7+E1F5xqATZSTwHQ6/XQ3dZqchoRiVYqAIqIIVxeqPK3AQ9JTLjCrUUGNq/HE2jJScjJNzmNiBgplAXA2kpn4DqnJKNf9yWXGuLfnVbe6ULlP2NMSEsNXB91qgXYSIm5vlPHnQ31eL1qaRcRY6gAKCKGKfPPiylSAVCiQEd9LQAJuSoAikSzU6dOcfbsWQBWrFiBxWLp833VlDvpOTg1d7gKgKHU8+ViebcKU0aZmO7bteoFjju7zA0T5Xq+XHQ21pmcRESimQqAImKYi12+7+TTHDGkxMSYnEakf5wNvkW5IymFmMSkK9xaRCLZ2rVrAcjJyWHChAl9vp8up5vmal87X+7w9JBkE0iPdZAcYwfgQpf2/xllYoZvB2BpSxutbq/JaaKXIzkVe0IiAO31KgCKiHFUABQRw5QFfStflBhvYhKR/uto6F2Ux2fnmZhERIwWyjbgyjP1AKTnp+CIs/frvsQneE1RpgKgIZJi7BQn+YpShxt0KIWRgkeLdKgAKCIGUgFQRAxzsSu4AKg2YIlswQXABP+sHhGJTqtXrw5c97cAWF3qKwBarBayS7QLMBSGBq0pLqoF2BAT0lPpaX4/qAKgoYLXFB1qARYRA6kAKCKGCf5WfmiSCoAS2YILgIkqAIpEtYqKCo4dOwbA0qVLsdlsfb6vKn8BECB3mOYAhkLwl4oXO1UANMLEtN5Tq480NJuYJPol5PR2FTgbak1MIiLRTgVAETHMhaAdgCX+NhKRSNVzCAhAYn6RiUlEJBx6dgGmpqYyY8aMPt9P1ZneAmCODgIJiWHJvWuK851qATbChPTeE4C1A9BYSQVDA9cdddoBKCLGUQFQRAxzxtlbAByRogKgRLa26qrAdVLh0MvcUkSiQajmANaea8Tj9gCQpwJgSIxM6T2IqbSr28Qk0WuivwDY7fFwsqnF5DTRLamoOHDdWltpYhIRiXYqAIqIYZrcHuo6uwAYkaxTUyWydXe00dnUCEBSYfHlbywiEW/dunV4PL7CXX8KgK5uNzXnGwEoGJ2NxXL528uV9awpKjucOp3WAFaLhelZvnmVxxpb6PL/PRBj9Hyp6Kyvwe10mpxGRKKZCoAiYqgzza0AjExVAVAiX+vFcwAkF5WYG0REDFdfX8++ffsAWLRoEXFxcX2+r7LD1QDEp8SSNSQtBOkGLwsw3N9V0LPGkNAal5ZCmiMGgC3VmklnKIslUABsvXje5DAiEu1UABQRQ53yL85TYmLIios1OY1I//QUAGMSk4hN1WmeItGuZw5gXFwcc+fO7fP9nD/cO0JgyMS8y9xSriQvIY5Eux3oXWNIaM3LyQxcb6vWTDojxWdkY4/zHWrTUnbO5DQiEu1UABQRQ51q6V2cj0jRLkCJbK1Bi/Mk7QIUiXqhmgN44VDvXK+hE3L7lWmwCx4pcqalzcQk0WuuCoBhc8n8v4sqAIqIsVQAFBFDBbfnjFIBUCJcS9DiXG3AItFvw4YNdHX5Ztn26yCQC420N/lmew1RAbBfgg8AOd2iHYBG6NkBWOvs1C5Lg11aAFQLsIgYSwVAETHUsaCT48amppiYRKT/Ws6fCVynlIwwMYmIhEN7ezs7duwAYM6cOaSk9O19zOuFsqO+OYDZJenEJ2skRl+NS+v9b3C0sdnEJNEpM9bB6NRkALZW16EjVoyVWjIycN187pSJSURkMFABUEQMdbSxObB4HJ+uAqBEtqbSk75P8kBqySiT04hIOPTMAbTb7SxcuLDP93PBPwfQYoHCcTkhyTYY9awlPF4vJ4K+ZJTQmJuTSc9B1Wr/NV6Kfy3h9XhoPl9qchoRiXYqAIqIoVq7XVxobQcu/dZeJBK5Otppr64AIGXYyCvcWkSiQajmAAYfBKI5gH3Xs5YobW2j3eU2OU30CZ7/t0UFQMP17ABsqyjD7ewwOY2IRDsVAEXEcD0tOsOTE4m32UxOI9I/TWd9LTpJBUOwxcaZnEZEjLZt2zba2nyHTfSnAHjxaDUej28H8dBJOgm4L5Ji7BQnJQJwpEHtv0aYn5MFQLfHw+7aepPTRDd7fAKJeYUANJWeMDmNiAwGKgCKiOEO+wuANouFUf65MiKRqmeRbrHaSB4yzOQ0ImK0rq4uNm/eDMCUKVPIysrq0/10tndTfrwGgOJJecTE2UOWcbAYm5oSaE89ovl/IZcUY2derm8H4O7aBu2wNFhKyUjfTACg+azm/4mI8VQAFBHDBQ/pHq82YIlwzaW9i/Tg4d0iEr162oCtVitLly7t8/2c2lkGgN1ho2RyfiiiDSrj0nq/RDymAmDILc3PwWH1fTx85WKlyWmiX0px72FiTSoAikgYqAAoIoY73NAUuJ6UkWpiEpH+ayo9GbhOGznWxCQiEi49B4FA/9qAewqAACNnD+lXpsFoUkZa4PqQWoBD7rqC3tmUL1+suswtJRSC1xBNZ9QCLCLGUwFQRAx3sL4Jl3/u0bTMNHPDiPRT4+ljeN2+tqi0UeNNTiMi4bB3714aGhqA/hUALxyuwtnWBcDIWUUhyTaY9Kwhuj0ejjQ2Xf7Gcs2uL/LNpmzs6mZXjeb/GS191AQAPC7XJV8uiogYRQVAETFch9vNieYWAKZmppucRqR/3J1OWi6UApA+eoLJaUQkHNxuN+vXrwdgzJgxFBX1rXjncXso3VMOQE5JOqm5SSHLOBhMSvd1ERxtbKbT7TE5TXQpSUpkVIrv93F1eRVur9fkRNGvZwdg89mTeLq7TE4jIoOBCoAiEhb76xoByImLpSAh3twwIv3UcPIIAHHpmcRn5V7h1iISDXrmAEJ/24AvBK5HztQuwKtVnJRAVlwsAPv8awoJnRuKek+mfqVM8/+MlphXSGyq70vxhpNHTU4jIoOFCoAiEhb76hsD11PVBiwRruHEkcB1+mi1AYsMBqEqAJ7cEVQA1BzAqzYlaP7f/qA1hYTGdYW9X2atLq82McngkDZqXOC68eSRy9xSRCR0VAAUkbDYW9cQuNYcQIl0DScOB67TNQdQZFA4cuQIFRUVAKxcubLP99NQ0UJdmW9+3YgZhVitlpDki3bBXx7uUwEwpOxWC8vycwA41tTC2dY2kxNFv+C1Q4MKgCISJioAikhY7A9q15mmOYAS4RpPBe0AHDPRxCQiEi5er5e1a9cCUFhYyKhRo/p8X6f8uwDjk2MpnpIfknzRrmeGsBc4UK8DQEJpSV4OqY4YQO2/4dJzAAheL42njpkbRkQGDRUARSQs6jq7KG3xfaM8JzvT5DQi/dPZ1Ehbhe8DfOaEqeaGEZGwCW4DXrFiRZ/v5/CG0sD1xKXD+5VpsJiVlQHAqeZWGjp1YEIo3T2sdxblP86WmZhk8MgYPxmAlovn6GpRQVtEwkMFQBEJmx019QDkJ8RRqINAJMLVHd4PQHxmDvHZOghEZDBYtWpV4Lo/cwDP7a+graEDgPFLhqsN+AqKkxLIT4gDYEdNnclpoovNYuH24kIAKjucbK3W82u0xLxC4jN9Ldd1h/eZG0ZEBhUVAEUkbIIX7bNzMkxMItJ/dUf2Ba4zx081LYeIhM+5c+coLfXt3lu+fDlWa9+W0h6PlyMbffeTlB7P0Ml5V/iJwS24c6Dny0QJjSX52eT4T1f+x9ky3F6vyYmiX3DnQN2R/eYFEZFBRwVAEQmb7UGL9tlqA5YIpwKgyOC0evVqADIzM5k0aVKf7+fwujOB64lL1AZ8OcFfGm6vVgEwlO4q6W3/fUbtv2ERvGYIXkuIiBhNBUARCZt9dY10eTwAzMnWDkCJbA0njuDp7gYgc8IUk9OISLiEag5g6d7yQBvwhKXDsagN+HX17AB0ut0c0AnAIWO1WLhtqK/9t6rDyabKWpMTDQ49BUB3VyeNp46aG0ZEBhUVAEUkbJxuNwf9J/dNz0zHZtGHHYlc7q5OGk/7Tu7LGDMJi9VmciIRCYfVq1fj9bdJ9mcOoMfj5ejmswAkZSQwdIJmib6WGKuVqZlpwKVfJEr/LcrLCsxWfPbcRbX/hoHVbid99Hjg0i8SRUTCQQVAEQmrbf7h0kkxdqb4F/Qikaru8F4A7PEJpI8aZ3IaEQmH6upqjhw5AsDixYuJiYnp830FtwFP0GnAr2l6VjrxNt8XLNt0AEhIXdL+W6r233BIHzMJW6yv6NqzhhARCRcVAEUkrDZX9baXLMrNMjGJSP/VHNgVuM6eMsvEJCISTj1zAJOTk5k5c2af76d0bzntzU4AJi4djtWmpfl/Wxy0VlCLaujYrRbe6C8A1jg72VhVY3KiwSFnau9aoWb/ThOTiMhgpFWGiITVhsreBebC3GwTk4j0X/XeHYFrFQBFBo9QzQF0uzwcWuvbBZiclcioOUP6nS3aLMzzrRW8wJYqFQBD5eaifPLifTvR/l56AZdH7b/hEFgreL3UHtxtbhgRGXRUABSRsKrscHKyuRXwzZ7RFECJZM76GlrKzgKQPXU2aK6lyKCwbt063G430L85gAB7nj8WuJ5+85h+3Ve0sVoszMvxHQBytLGZamenyYmix7tGDwtc//ZEqYlJBg+L1UrWxOkANJ87jbNBLe0iEl4qAIpI2G3y7wLMiotlbFqKyWlE+qenhSc2NZ2U4hEmpxGRcGhqamLPnj0AzJ8/n/j4+D7f18XjNVSe8hUCxs4vJikjISQZo8HE9FQyYh0AbKxUi2qo5MbHcWNRHgAH65vYV9dobqBBInX4GBwpaQBU79tx+RuLiBhABUARCbtNwXMA8zQHUCJb8AyfHLUBiwwaPXMAY2NjmT9/fr/ua8+LxwGw2qxMvX5Uv7NFi+A1wia1/4bMO0eVEGP1fQz89YkzV7i1hErwqBDN/xMRM6gAKCJhFzwHcElejolJRPoveA5gzrS5JiYRkXAKngPY3zbg/a+cxNXtaymecctYTRPwW5zXOytYB4CEzttHFgPQ5fHw1JkLJqcZPHKmzg5cqwAoImZQAVBEwq60pY3SljYAVhTkYNUnHYlgbRUXaKvwfYDKnbUAi1VvrSKDwebNm+ns9M2k628BsL3ZybFNZwHIGprGkAm5/Y0X8WwWC8vyfV8Snmxu5UJbu8mJosP83CzG+cevPHv2IrWaqxgWFquN3BnzAGgpO0t7dYXJiURkMNKnFBExxZqKasA3B3BieqrJaUT6p3LXFsA3BzB1uIb4iwwG7e3tbNu2DYBZs2aRlpbWr/vb/cLxwPX0m8f2676iwbTM9MD8v9XlVSaniR7vGlUSuH7ipA7/CJf0MRMC8/+qdm42N4yIDFoqAIqIKdYELeavK9ROB4lsVbu3BK7zZi00MYmIhFNPG7DNZmPRokX9uq/Tu8poqmoFYNLyEcQlOvqdL5KtLOgdEaICYGikOmK4Z9gQAM61trOmvNrkRINH3swFgevKXSoAiog5VAAUEVOsLq/G4/UCsDxfcwAlslXt3IzX4wEgd2b/DgMQkcjRcxAI9L8N2Ovxsvv5YwA44mOY8YbBvQtwhf/LQbfXy/oKnQAcCu8ZPYykGDsAvztRGliHifFy/QVAr8dN9d7tJqcRkcFKBUARMUWts5ODDU0ALMrLJtamlyOJXJ1NDTSe9n1wz5kyC2vM4N65IzJYbN++nZaWFqD/BUCAHf86THenC4D590zGZh+c743xNhvzcjIB2FPbQH1nl8mJIp/dauEj430nTHe6PfzquE7/DRdbbBxZk6YDUH/sEF3NjeYGEpFBa3CuKkRkQFh10dfSk2C3MS8ny+Q0Iv1T5W/pscXFBxb6IhLdXC4XmzZtAmDSpEnk5vZvpEVbo5MDq04BkJKdyLhFw/qdMRItyssmzmYDYJXaf0PirpIihiYlAPCHU2ep6nCanGjwyJ46G5sjFuhdK4iImEEFQBExzatBi/qbivJMTCLSf5U7NgWuC+YtNS+IiIRVzxxAi8XC0qVL+31/W/5+gJ7OzIX3Ten3/UWiG4PWBK9eVAEwFD4+YTQAXuBnR0+ZG2aQKZi7JHAdvFYQEQk3FQBFxDQbKmpo6fa1Ot08JN/kNCL9U71vO672NgAK5i0zOY2IhEso5wACVJc2cHpXGQCFY7MZMmHwHZTVsyZo6upma3WdyWki34LcLGZnZwDwSlklB+ubTE40uPSsCbpbW6g9tNvkNCIymKkAKCKm6fJ4AqcBj0tLYURyksmJRPrO091Npf804JSSkSQVDjU5kYiEw/79+6mtrQVCUwAE2PK3A4Hr+W+aHJL7jBRjUpMZmeJbD7xysZJu/wFL0nef8O/+A/jh4RMmJhl8kocOJ6moGICKHRvwuFwmJxKRwUwFQBEx1QsXKgLXNw1RG7BEtootawPXagMWGRw8Hg/r168HYOTIkZSUlPT7Pk/uuEDlad/Ot/GLh5FekNLv+4wUwR0BwWsE6ZuSpERuKy4A4HBDU2D+soRHwfzejoDyoDWCiIgZVAAUEVO9UFaBf9SR2oAl4pVvWUvP8K58tQGLDBo9cwABli0Lzd/97f84DIDVamHe3ZNCcp+RoGct4PF6eUXFqn775MTR2CwWAH50+GRgzSXh0dP+6/V4qNyx0eQ0IjLYqQAoIqaqaHeyr64BgMV52STa7SYnEum7jrpqGk4eASBn2hzscQkmJxKRcAj1HECA/a+epLWhA4CZbxhLclb0v54kx9hZkJsFwO7aBp1U20+FCfG8Z4zvJOnKDid/Pn3e5ESDiz0hkezJMwGoP3YQZ32tyYlEZLBTAVBETPe8v8Unzmbj+qLBN+xcoktPi4/NEUvenEUmpxGRcDh+/DhlZb6DO1asWBGS++zudLHpL/sAiIm1s+gt00JyvwPZjUX5OKy+jydq/+2/h6eMJc5mA+B7B47hdLtNTjS4FMxdijUmBoDyrWr/FRHzqQAoIqb717nywPUdxYUmJhHpv7INrwSuixZfb2ISEQmntWt9H/Dz8/MZO3ZsSO5z+7OHaan1nS4+69ZxpGQnhuR+B6o3lvSuAZ49d9HEJJGvICGed43u3f33+PEzJicafIqW3hC4vhi0NhARMYsKgCJiur11DZS2+D7gvGFIQeDbf5FI1HDiMG0VFwAoXLAi8O2/iES34DmAodoF6Opys+kp34nAdoeNxW+ZGpL7HYhibVZuLPLN/zvV3MqhhiaTE0W2z08dR7x/99939x+j3aXdf+FkjXFQMHcpAK1l52g8fdzcQCIiqAAoIgPEv877vulPdcSwJD/b5DQi/VO24VUAYpKSyZk21+Q0IhIORswBBNjxz8M0+3cBzrx1PGm5ySG774HkusI8kmN8c4D/cbbM5DSRbWhSAu8a5dv9V9Hu5Nfa/Rd2+bMXYU/w7di9sP4lk9OIiPioACgiA8I/z/a2+qgNWCKd2oBFBp8LFy5w8uRJwFcAtIVoN7ury82mv+wHwBZjZdFbp4bkfgea4Pf+f6r9t18+N2UcsTbf7993DhylQ7P/wi74vb9svdp/RWRgUAFQRAaELdV1VPpP+7ujuBCrxWJyIpG+qz24G2d9DeD7EGBRW7vIoNDTBpyWlsakMaNCdr87/30ksAtwxi1jScuLrl2ANouFNwzxtf9ebO9gZ029yYki19CkBN45qgTw7f777fFScwMNQharjYKFvjEAHTVV1B3db3IiEREffSIRkQHB4/Xy3HnfYSC58XHMz8k0OZFI33k9Hi5u8rUDxmVkkTVphsmJRCQcgucALp0zK2T36+pys/FP+wCw2a0se+f0kN33QLA0P4esuFjA1xHgNTlPJPvKtAmBWcrf3q/df2bImT6X2NR0AMo2vAxe/UaLyMCgAqCIDBhPB838uXf4UBOTiPTfhbUvBq6HrnyDiUlEJFxWr16Nx+MBYMnsmSG9713PHaWpuhWAaTeOIX9k9HxRdt/wIYHrv5deMDFJZJuWmc7bRxYDcK61nd+c0Ow/MxRfd2vg+vyaF0xMIiJyKRUARWTAWFteTZW/DfjuYUXYrWoDlshVtXsrzvpaAIYuuxmL/zRGEYledXV1HDx4EIAFM6bhCOEp4K4uN6/+agcAFquFmz46P2T3bSaH1crt/vl/5e0dbKmuMzlR5PrBnCmBESqf23mATrfH5ESDjzUmhqJF1wHQUVtF7cHdJicSEemlAqCIDBhur5enS327ALPjYlmen2tyIpG+83rcXFjr++Y/Ni2D3JkLTE4kIuHQ0wacEBfHjInjQ3rfB1ad5PzBSgCGTS1g3KKSkN6/GW4oyiMj1gHAX89cwKN2yT65q6SIRXnZAGyvrtNOSpPkz1mCIyUNgHOr/oPXoyKsiAwcKgCKyIDyVNCC9d6gliCRSHRu1XOB6+IVagMWGQyC5wAuC+EcQPCNEnvp59sCI8Vu+tA87DGRvbv4TcN63+v/dkZFq75wWK18c+YkALzAZ3Ye0BxFkwxdcUvg+vzq501MIiLyv+wJE688nyS2ZDSAvsEwmJ7n8NDzHB59fZ73A+e6XBQ77Lxx+FA+0wROj5axr0e/z+HR1+e5HQvtdTUkZGYzZNnNHHnxWdzd3UZEjAr6fQ6PmFxfu+XVrAHl2u2oaabb5SLGbmfp4kUhf57rgKO76xk/M4P0ghQWPXAj29dUhfQxwiXBauHWkiIAznR2czRvOAl5w6/pPvS6AZ/IT2VkShIAf6trZV92CQnZJSF9DD3PV2ZzxFK4+HoA2mqqcNpjr/nvv57n8NDzHB56nsPjWp5n7QAUkQHFC/yzrg2AZJuV69PizQ0k0h9eLxW7twFgj48nZ+I0kwOJiNFa29rZc/goADPHjCQxPvTvY2ueLaO7y7fQX3BzPvFJ9pA/RjjclJZAks33ceQfdW3atdYH2XYbDxakAdDh9fK1sgZzAw1ieZOnY4+NA6B81xad/isiA469/dCuK97I4j9K/mpuK32n5zk89DyHR3+e5yfL0/j4Hb4Bym9yuPmr/lu9Lv0+h0d/nudTne2MuN53ImDB+Cmc/sPPQ5otmuj3OTy6588F9DwbadVz/2bOlEk47Hampcfzys6NIb3/dmDL39wseds0YuNtzJtr57kfbgvpY4TDm65fGLh+cvt22huar/k+BvvrxsPzZ5DiL6I+uv8ox/ccNuRxBvvzfDXy3/lA4PrUnx+jvfTkNd+Hnufw0PMcHnqew+NanmftABSRAWd/fSMH6hsBuLkon9z4OHMDifRDw8kjNJ7y7QYqmL+MuIwskxOJiNGC5wAuX77ckMfY8Me9tNS1AzD79vEMGR9ZB2flxsdxXUEeALtrGzjSh+LfYDczK4P3jBkGwMX2Dh49cNzkRINXXEYW+bMXAVB/7CBNfSj+iYgYTQVAERmQ/nDqHAB2q0WHgUjEK33pWQAsNhtDdRiISNTbsmULHZ2dAKxYscKQx+jq6OaVx7YDYLFauPVTC7HaImdp//aRxditFgCePHXW3DARKMZq5fGFM7FZfM/hZ3ceoM3lMjnV4FVy451YbL4DeUpf/IfJaUREXlvkrBJEZFD506lzdPsHmb5jZIm5YUT66dzL/8Tj/2A27Ka7TE4jIkZzOp1s33cAgGnTppGenm7I4+x7+QSnd5UBkD8qi/lvmmTI4xjhbSOLAejyeHhKp/9es09PHM2kjFQAXrlYyV9Onzc50eBWcsOdAHi6uzm/6j8mpxEReW0qAIrIgFTt7OTlskoApmamMTkjzdxAIv3gbKijYvt6ANJHjydt5DiTE4mI0dbv8M3isdlsLFmyxLDH+ef3NtDl9H3BsPz+mWQUpBj2WKEyIyudiem+4tVz58updXaanCiylCQl8rmpvveRdpebj2zZY3KiwS1j7CTSRowB4OLm1XQ26SAWERmYVAAUkQHr90EtQe8cVWJaDpFQKH3hmcD1sJu1C1Ak2vUUAMG4OYAAjZUtrH9yNwAxcXZu/eTCK/yE+YLf05/0j/yQq/fLBTNItPtOfn5k72HOtLSZnGhwC35PP6v2XxEZwFQAFJEB6/nzFYFdAW8bWUycf7aKSCQq37ImsCug5IY7sTliTU4kIkbac/goLW2+woxRcwB7bPrrASpO1gIwcvYQplw3ytDH6494m423jPC1/1Z1OAO7/eXqvH1kMSsLfQe+HKxv4seHddiEmWyxcRRffzsAzvrawG5/EZGBSAVAERmwujyewGEgmbEO7iwpNDmRSN95ursDOwNiU9MoWnKDyYlExEgut5tNu/cCMH78eAoKCgx7LI/bw78e3YDH4wXg5o/OJzEtzrDH6497hg8hzREDwO9Ong3M+5Ury4x18N3ZUwDweL18cMtuPX8mG7r8ZhxJvrb70heeDsz7FREZiFQAFJEB7dfHz+D1X79vzHBTs4j016l//xW8vt/oEbffZ3IaETFacBvw0qVLDX2si8dq2P7sYQASUuO4+aMLDH28vnrv6GEAeIHfnSg1N0yE+fG86eTE+XaP/+TIKbZX15mcSEbc5n8v93o589zfzQ0jInIFKgCKyIB2vKmFjZU1ACzOy2Z82sAfbi7yelrOn6F6/w4AcqbOIaVkpMmJRMRI67bvDFwbOQewx+pf76CpqhWAyStHMnnFwHqNGZeWwrzcLADWlFdxsrnV5ESR4y0jhnLv8CEAnGtt5yt7DpmcSFJKRpI1cToAVbu30FJ21txAIiJXoAKgiAx4jx8/E7h+l3/ngEikOv2vvwauR7zhTSYmERGjHT55mqqqKgBWrlxp+ON1tnfz92+sCbQC3/rpRaTlJhv+uFfrfWOGY/Ff//q4dv9draLEeH40dxrga/19z8adtHar1dRsI29/M1h8v9Gn//2UyWlERK5MBUARGfD+cbYscBjIO0aV6DAQiWgX1r3UexjITXfpMBCRKOb1elm/3ncoQHFxMcOHGz/K4tyBCrb87QAAcYkO7v7iMqxWyxV+ynjxNhtvG+k7/KPa2cm/zl00OVFksFos/G7xbNJjHQA8evA46yqqTU4lttg4Sm64AwBnQx1lG18xN5CIyFVQAVBEBrxOt4cngw4D6WmBEYlEnu4uSl98BvAdBjJ05RtMTiQiRlqzZk3gOhxtwACrf72TylO++XDFk/OZf+/ksDzu5bx5xFAy/EWsJ0+epUuHV1yVhyaNYWl+DgD76hr56p7DJicSgOLrbsORkgbA2Rf/gae729xAIiJXQQVAEYkIPz9yCrf/8ISPTRhlchqR/jn5zB/wetwAjL7nfnPDiIihVq9eHbgOVwHQ1e3m719fTXenr0105XtnUzg2OyyP/Xo+Mt43j9Dt9fLYsdOmZokU0zLT+fL0CQA43W7u37BDhdMBYvTd7wDA63Fz8tk/mZxGROTqqAAoIhHhbGsbL5VVAjAlI40F/iHiIpGoraKMim2+tsD0UePJnjzT5EQiYpRTp05x7pxvF/uKFSuwWMLTjlt9toFXf+U7dMhmt3LX55cRE2sPy2P/tyX52UzOSAPgufPllLa0mZIjksTZbPxu8SwcVt/HtYd3HuBQQ5PJqQQgZ9oc0kaOA+Di5jW0VVwwOZGIyNVRAVBEIsZPj5wMXPfsJBCJVCeefjJwPcq/k0BEotPatWsByMnJYcKECWF73G3PHOTUzjIAsovTufHD88L22ME+Mq535/5Pj5wyJUOk+X9zpzIhPRWAl8oq+bmetwFj9N3vDFyffPr3JiYREbk2KgCKSMRYdbGKo43NANxZXERRYrzJiUT6rnLnJprP+j7QDVlyIwk5eSYnEhGjmDEHEMDrhX98Zy3tzU4AZt8+nmk3jQnb4wMMTUrg1qEFABxpaNYBFlfhLSOG8r4xvgNjap2dvG/TTrwmZxKfhNwCChf6TvRuKj1J1Z5tJicSEbl6KgCKSMTwAr846psbZLdaeP/YEeYGEukPr5eT//gjABabjZG3v8XkQCJiFDPmAPZoqW3nb4+sxuPxlZBu+9QiCkaHb4zGA+NGYvefQvzToydVyLqCSRmp/HKBbyyEx+vl/g07qGh3mpxKeox649ux2GyAf/efV7/RIhI5VAAUkYjyh1NnaerynbT2gbEjSLSbM89IJBRKX/oH3a0tAIy4463Y4xJMTiQiRigvL+fYsWMALF26FJu/gBAup3eVsf7JPQDYHTbu/epK4pIchj9ucow9sJOtobOLP546Z/hjRrL0WAdPr5hPgt33+/G1vUcC84/FfPaEREbcfh8AXS1NlL78T3MDiYhcIxUARSSitHS7+PXxMwBkxjq4f3SJuYFE+sHV3sbp//wVgNjUNIbdcrfJiUTEKD1twKmpqcyYMSPsj7/297s5sd13WEFGYSp3f2E5FquxB5K8d8xw0hwxAPzy2GnaXW5DHy+SWYBfL5zJiOQkAF64UMG39h81N5RcYsRt9+FISgHg1LN/wu3sMDmRiMi1UQFQRCLOjw+fpMvjAeATE0YHWotEItHxvz2Bp9u3q3Xsfe8OtBaJSHQxaw5gD6/Hy9NfX01DuW+W7pj5xSx+y1TDHi/GauWj432Hf3S6Pfz8qA6xuJwvTB3P7cWFAJxrbeddG3bgUXvpgGG12xlzz/0AeLq7OPnMH8wNJCLSByoAikjEudjewVNnfLsYhiUncmdxkcmJRPquo6aK86ufAyAxfwhDltxociIRMcLatWvx+L+8MqMACNDR0smfv/QK3U4XACveM4tRs4cY8lhvGjaEoUm+sQZ/PH1Oc+wuY3lBDl+aNh4Ap9vNPWu2UNfZZXIqCTZ0xRtIyPUdZlP60rN01OkwGxGJPCoAikhEevTg8cAg8QcnhfdEQ5FQO/rnXwUGiY99y/tMTiMiRqivr2ffvn0ALFiwgNjYWFNyVJ6q47kfbQbAYrVw9xeXk16QEvLH+eTE0YDvAK8fHToR8vuPFiOSk/jLsnnYLL5uhg9v2cOe2gaTU8l/G3Pve3wXXi/Hn/qtuWFERPpIBUARiUiHG5p4xT8Ye0ZWOkvzc0xOJNJ3TWdOULFjIwAZYyeRM32uyYlExAg9bcAJCQnMmzfPtBx7XjjGrud88+USUuN4+3dvIj4ldAXJ6wpzmZqZBsDz58s50tgcsvuOJhmxDv59/UIyY30Hsjx27DS/P3nW3FDyP/JmLyJ9tG+H5sUta2g+q3Z2EYlMKgCKSMR69ODxwPXnpow1MYlI/x37868C1xPe8SETk4iIUcyeAxjs+R9u5tyBCgCyh6bx5q9fjy0mNB8NPjdlXOA6+L1aesXarDyzYj5jUpMB2FBZwye37TM3lLym8e94IHB97M+Pm5hERKR/VAAUkYi1tqKardV1AKwoyGV+bpbJiUT6rmr3VmoP7gEgd+YCsiaF/5RQETHWhg0b6OryzXYzuwDo6nbzpy+8TO35RgCGTS3grs8tw9LPc7Xm5WSyOC8bgG3VdWyqqu1n0uhjAR5bMJNF/ufpdEsrb1qzNXDAmQwcWZOmkzN1DgC1h/ZSs3+nyYlERPpOBUARiWjfPXAscP3wZO0ClMh29I+/DFyPf/sHTUwiIkZoa2tjx44dAMyZM4fk5GRT83Q0d/Lkwy/S1tABwKQVI1n6zv59+fCVaRMC14/sPdyv+4pWX5k+gbeNLAagrrOLN7y8kVpnp8mp5LVMfPfHA9eHfvsjE5OIiPSfCoAiEtGeO18eGJZ9y5B8pmelm5xIpO8ubl5N/fFDABTMX07GmIkmJxKRUOtpA7bb7SxcuNDkNNBQ3swfP/dS4GTgZffPZOoNo/t0X7OyM1hZmAvA3roGVl2sClnOaHHf8KF8YWrvib93vLqJk82tJqeS15I5fgp5s3x/RxtOHKZy5yaTE4mI9I8KgCIS8YJ3AX5WuwAlwgXvAhz39gcuc0sRiUQDaQ5gj7Kj1Tz73XV4vWCxwB2fWULJ1Pxrvp8v+gtbAI/sPYI3lCGjwLL8HH67eBYWwOP1cv+GHYFRJjLwTLj/I4HrQ7/5EXj1Gy0ikU0FQBGJeM+euxg4YfCO4kLGp6eYnEik78rWvxw4YbBo8fWkDhtlciIRCaWtW7fS1tYGwIoVK0xO0+vgmtOs/rWvPdkWY+Wt37qRwjHZV/3zUzPTuHmIr2h4oL6R58+XG5IzUk3JSONvy+fhsPo+fn1h10GeLi0zOZW8nvTR4ymYtwyAxlNHubhlzRV+QkRk4FMBUEQinsfr5dv7jwJgtVj4atD8IZFI4/V4OPz7nwFgsVqZ+J5PmBtIREKqq6uLzZs3AzBlyhSysgbOAVbr/7iX3c/7dtXHJTp4x/duJqfk6kZrfHXaBHrOD/nmvqPa/RdkfHoKr9y0hPRYBwCPHz/D93Q68oA28T2foOdEnMO//5l2/4lIVFABUESiwt/OXOCofxfgnSVFzMzKMDmRSN+dX/18YBfgkCU3kDFussmJRCSUetqArVYrS5YsMTnNpf796AYOrjkNQEJqHO/64a1kDU277M/MyErnlqEFABxuaOLZcxeNjhkxRiQn8dINi8n0F/+ePXuRj27dY3IquZyMsZMonO9rz286c4Ky9S+bnEhEJDRUABSRqOD2egOnDVqAL00bf/kfEBnAvB43B3/jP23QYmHiuz5qbiARCamBOAewh8fj5ZlvruH41vMAJKXHc//3byEt9/VPLP7GjEmB3X9f2n0Ij3ZLAVCUGM9LNy6mICEegFcvVvG29dtwefT8DGST3//pwO6/A49/H6/HY3IiEZHQUAFQRKLGM6Vl7KtrBHwnAs/NyTQ3kEg/XFj3Ig0njgC+E4GzJk4zOZGIhMqePXtoaPCdYD+Q5gD2cLs8PPWVVynd65vjl5qTxP0/uIXkzIT/ue2C3Cyu85/8u6e2gf9o9h8AOXGxvHjDYoYlJwKwtqKaN67aTKdbxaSBLHvyTPJmLwKg/vghLm5abXIiEZHQUQFQRKKGF/iqfxcgwNemTzQvjEh/eb0c+s0PA3+c9N5PmZdFRELK7Xazfv16AMaMGUNRUZHJif5Xd6eLP3z2Rc4drAQgsyiVdz56CwkpcZfcLvi99ou7D2n2H5DmiOGFGxYzLs13KNmOmnreuGozHW63ycnkSia9r/e99sCvvq/ZfyISVVQAFJGo8tz5crZX1wGwvCCHZfk5JicS6buLm1dTd3gvALkz55M7Y57JiUQkVILbgJctW2ZiktfX7XTxp8+9RMUp3/tq7vAM3vHozcSnxAJwXWEuS/J9JwVvrqrllYuVpmUdKDJiHbx84xKmZqYBsL++kZtf3kBLt8vcYHJFebMXkTNtDgA1B3ZRuX2DyYlEREJLBUARiTpf2nMocP2dWZMDc4lEItGBX/0gcD3lgYcDc4lEJLIN5DmAwTpaOvn9g89Tc74RgMIx2bz7h7eSkpHAd2b1HlD0pd2HXuceBo+8+DjW3LyUGVm+k5OPNjZz40sbaOzqNjmZXInFamXKAw8F/nww6L1XRCRaqAAoIlFnTXk1r16sAnwnE947fKjJiUT6rmr3Fip3bAR8JxMWr3iDyYlEJBSOHDlCRUUFMDDnAAZra+jgiU/+J1AEzBuRycd/eRfDhmQA8MKFCjZU1piY0HxDEhNYc/NSJqanAr7i3w0vbaDG2WlyMrkaJTfcQfoo3wFy5VvWUr1vu8mJRERCTwVAEYlKD+3cHziF8BszJxJr08udRK59P/tO4BTCyR94EGuMw+REItJfXq+XtWvXAjBkyBBGjRplcqLLa6lt5zcf+3egHdiRm8Afb0qhNtnK53YdNDmduYYlJ7L65qWMTvWdlLyvrpHlL6yjvL3D5GRyNWyOWCa995MAeD1u9v/y/0xOJCJiDH0iFpGodLC+iT+fPg9ASVIiD4wdaXIikb5rPH2Mc6/+C4DE/CJGvfFtJicSkVCIlDbgHm0NHfz24//GfaYZgKZEK7+5PpHadJvJycwzLi2FdbcsY7j/tN9dtfXc8NJ67fyLIKPvuZ+E3AIASl94hqYzJ0xOJCJiDBUARSRqfXH3wcCJe1+YOo6MWO2aksh14LFHcXc6AZhw/0dwpKSZG0hE+m3VqlWB60goAALEd8P713VQUuE71MKTFMN7fnwbReMG36Fb0zLTWXvzUgoT4gHYUFnDdS+up66zy+RkcrUcyamMe+v7AXB3Ojn02x+bnEhExDgqAIpI1Cpr6+BnR04BkB7r4OHJY01OJNJ37dWVnHzmD4DvA8v4t3/Q5EQi0l/nzp2jtLQU8M0BtFoH/tL8S1PHk2OL4Z41LXC0AYD45Fje+egtDJtaYHK68FmWn8Oqm5aQFec7EfmFCxXc8vJGnfYbYSa++2OBL9SOP/Vb2qsrzA0kImKggb/KEBHph+8eOBb4Jv6jE0YxKiXJ5EQifXfkD7+gs6kRgNF3309yUYmpeUSk/1avXg1AZmYmkyZNMjnN5Y1LS+GBcSMAqG918oNP/YvD684AEJfk4J2P3sLUG0abGTEs3jmqhOdvWESqIwaAv5de4K7VWwJdBxIZUkpGMvJO30gNZ0MdR//0mMmJRESMpQKgiES1hs4uHtlzGACH1cqjc6aaG0ikH7pamjj0mx8CYI2JYdrHvmBuIBHpt0iaA/jo7CnE+Hcpfnn3IRraO/nbI6vY/fwxAGwxVt74uWUsf9dMLBYzkxrDAnx1+gR+vWgWDv/z8PjxM7xt3Xa6/Qc1SeSY9tEvYLXbATj4+A/obms1OZGIiLFUABSRqPfYsdMcrG8C4JYh+dxYlGdyIpG+O/XPP9N42vdhu2D+cvLnLjE5kYj0x+rVq/H6T60fyAXAW4cWcIP//XN/fSNPnPC1Lns8Xv75f+t54Sdb8Hq8WCyw7P4ZvOkrK7E7oudwEIfVyu+WzOaLU8djAbzA1/Ye4YHNu3H7//tJ5ChcuJL8OYsBaDh5hDPP/d3kRCIixlMBUESintvr5VPb9wX+/OicqYEdDCKRxutxs/fH3wj8OXgHg4hEnurqao4cOQLAkiVLiImJMTnR/3JYrXx31uTAnz+5bd//FL22Pn2Qp766iu5O3wy8ictG8K7/dysJqXFhzWqEjFgHL924mLeOKAag0+3h7eu287W9h01OJn1hjYlh6oc/G/jz3h99A69H7dsiEv30CVhEBoW1FdX889xFAMamJvPhcSNNTiTSd1W7t1K24RUAUopHMOqud5icSET6o2cOYHJyMjNnzjQ5zf/6+IRRjE5NBuBvpRfYUFnzmrc7vP4MT3ziOdoaOgAYOjGXD/ziDrKGpIYta6gNT05kwxuWszgvG4C6zi5ueGk9fz1z3uRk0ldj3vQukocMA+D86uep3rfd5EQiIuGhAqCIDBqf2bEfp39A95enj6cgId7kRCJ9t/cn38Ld1QnAxHd/nPisXJMTiUhfDeQ5gHnxcXx2yjgAOtxuPr/z4GVvf+FIFb/68L+oveAbvZFRmMr7fnYHI2YWGZ411K4rzGXrbSsZ6y9+Hm9qYf6/V7OpqtbkZNJXcRnZjH/7hwBwdzrZ/8v/MzmRiEj4qAAoIoNGaUsbPzh0AoCUmJhL2plEIk1bxQWO/+XXAMQkJl3SziQikWXdunW4/V9QDbQC4P+bOzVw2u33DhznbGvbFX+m/mITv3rgWUr3lQOQkBrHOx+9hes/MAeLdeCfDmIBHpo8lueuX0RmrAOArdV1LHl+LadbdFBEJJv+iS8Rk+Qr6B79069oqygzOZGISPioACgig8q39x3lTIvvw8ubRwxleUGOyYlE+u7wkz+ntfwCAMXX3UbujPkmJxKRvmhqamLPnj0AzJ8/n/j4gbFDfWVhLvcMGwLA6ZZW/u/Asav+2Y6WTp588AV2PXcUAIsFFr1lKm/5xvXEJTkMyRsK6bEO/nndQr41cxI2/1HGvzp2hhUvrKPW2WlyOumPvFkLGbr8FgBaL57n6B9/aXIiEZHwUgFQRAaVDrebj27dE/jzz+bPINaml0KJTO5OJ7u//+XAn2d+5utYYwbuB2sReX09cwDj4uKYP9/8Yn6szcqP5k4L/PmT2/YFxmhcLVe3m399bwPPfHMt3U7f4SBjF5Tw4d/eTeGY7JDmDYUpGWlsu20FtwzJB8DpdvOBTbv40JbddHk8JqeT/rDGOJjxya8E/rznR18LjNEQERks9KlXRAadl8sq+fd5X1vSqJQkPjVxjMmJRPquYvsGLm5cBUByUQlj3/xekxOJSF8MtDmAD08exxj/7LunS8t44UJFn+9r3ysnePzD/6ShvBmAtNxk3vvT25l+89iQZA2Ft44oZuMbljMiOQmA863tLH1+Hb85UWpyMgmF8W9/gOShwwG4sPYFyresNTmRiEj4qQAoIoPSJ7btpc3l243wuSnjGJacaHIikb7b/cNHcDnbAZjwjg+RmD/E5EQicq02b95MZ6dvR5LZBcBRKUk8NNn35VhLt4sHd+zr931WnKrjFx/4Bye2+8YW2B027nx4Cbd9ahExsfZ+339fJdht/GLBDH6/ZDYJdhsAL1yoYMa/XmVXbb1puSR0kotKGPe2DwDgam9j70++aXIiERFzqAAoIoPS+dZ2vrXPN5cowW7jVwtnMvDHkou8tvaqcg7/7mcA2OLimf3Zb/sGbolIxGhvb2fbtm0AzJw5k9TUVFNyWICfzp9OnM1XDPva3sOUtXWE5L47mjv548Mv8Mpj2/F6vADMun08D/z6LgpGZ4XkMa7FxPRUtty6gveN8e0M8wL/d+AYd6zaTENnV9jziAEsFmY++DVsjlgADv72R7RXV5ocSkTEHCoAisig9YNDJzhY3wTAsvwc3jGqxNxAIv1w/K+/pvG0b0B/7ox5DLvpjSYnEpFr1dMGbLfbWbx4sSkZ3j16GCsKcgHYW9fAT46cDOn9e72w8c/7+OPnXqK9yQlA9tA03v/zO1n05qlhOSXYZrHw8OSx7Lh9JRPTfYXWGmcnb3hlI5/fdRCP12t4BgmPEW94E7kzFwDQcOIwJ/7+O3MDiYiYSAVAERm0uj0e7t+wA5d/F8IP5kylMGFgnLwocq08Lhfbv/EZvP4h/dM/9iXis3NNTiUi18LsOYB58XF8Z9ZkAFweLx/YvDvwHhlqJ7ad5yfv/BvHt54HwBZj5foPzuF9P72d9IIUQx4TYGhSAq/etIRvzpyEw+r7KLTqYhUz/vkqL5dpZ1g0icvIZsqHHgbA63az87ufD7xHiogMRioAisigtr++kR8dPgFAqiOGH8ydam4gkX5oOHmE43/7LQAxSclM/9iXTE4kItdi27ZttLS0AOYUAH8ybzrpsb6TxL9/6Dh7ahsMfbzWhg7+9LkX+dejGwKnBA+ZkMuHf30XU68fHfLHu3tYEbtvv47Feb4TiJ1uN5/fdZCbX9lIeXto2pxl4Jj56UdwJPt2eB77y+PUHz9kciIREXOpACgig95X9xzmVHMrAHeVFHFHcaHJiUT67uCvf0hr2TkAhiy7iaLF15ucSESulsvlYtOmTQBMmjSJ3Nzw7eJ9Y0kRd5b43v9ONrfyjb1HwvK4Xi/s+s9RfvnBf1Bxqg6A2EQHd31hGfd8aQUJKXGv+7PDh8Oyuc0sm9vM8OGv/xhZcbH8cekc/rpsXqDAua+ukdn/WsX/HTimlt8oNGTpjRQtuQGAlrKzHHriJyYnEhExnwqAIjLodbjdPLB5Nz3L/5/Mm06G/wOCSKRxdzrZ+b0v+D5VAzM+/QiOlDRzQ4nIVetpA7ZYLCxdujQsj5kZ6+DH86YBvoMwPrBpFx1hbpWsLm3gsQ/8g7W/243H33Y8eeVIPvHn+5h567jAuUZWK7zznXDkCJw+Df957Bj/eewYp0/D4cPwjndcegbS3cOKOPjGG7hv+NDAv99PjpxkwXOrOdLYHNZ/RwmP2NQ0Znzqq74/eL3s/M7ncXc6zYwkIjIgqAAoIgKsrajmN8fPAJCfEBf4ICQSiap2b+X0f54CID4zp/eDkIgMeGbMAfzp/Onkxft22j1+7AwbKmvC8rj/ze3ysOaJXfzuU8/RVOXbmR+fHMvtDy7mHd+7hYIRyTzzDPzudzBu3P/+/Pjx8PvfwzPPwMScJF6+cTF/XTaP7DjfCbDnWttZ8cI6PrltH51uTxj/zSScZnz6a8Rl+Nq8T/37r1Tv225yIhGRgUEFQBERvwd37Od0i+8Dx33Dh3L3sCKTE4n03d6ffJPWi77h+sUrb2XIsptNTiQiV2Pfvn3U1tYC4SkA3jd8KPcMGwLA2dY2Ht653/DHvJLSveX86B1PsfHP+wK7AUfOKuLVzVnccceVf/7OO2HPf1IDpxl7vF4eP36Gqc++bFpxU8KjeOWtDF1+CwBtFWXs+9m3TU4kIjJwqAAoIuLX2u3ig5t6W4F/Oq93R4RIpHF1tLPz/z4faAWe+WDvjggRGbg8Hg/r168HYOTIkZSUlBj2WPkJcfzIv+Pd4/Xyno07ael2GfZ416Lb6eKVx7bzy/c9w8XjNYzNKmV8bulV/3zM7ItYppVzsL6JBc+t4YHNuwfMv5sYIz4zh+mf/CoAXo+H7d96CFd7m7mhREQGEBUARUSCrK2o5mdHTgG+oeG/WDDD5EQifVe1eysnnvkDALGp6cx66BsmJxKRqxHcBrxs2TLDHuexBTPJ9M+8/fGRk6yvGHi74ypO1fGrB/7JaOvma/7Zs/P2MOvfr7Kzpt6AZDLQzHr4W8SmpgFw4u+/o3qvWn9FRIKpACgi8l8+v+sAJ/2nAt86tIC3jyw2OZFI3+3/5f/RUnYWgMKFKym58U5zA4nIFYVjDuC7Rw/j5iH5ABxrauFLuw4Z8jihkJjgYcKoa9/JVTy1g7gEnfA7GAx/w5somO8rljefO82BX33f5EQiIgOPCoAiIv+l3eXmXRt24Pa3Tv5k3nRGpSSZnEqkb9zODrZ/40G8Ht+JnjM//TWSi0rMDSUil3Xs2DHKysoAWLFiRcjvf0RyEt+fMxUAl8fLuzfsCPupv9eiqAhstmv/OZvN97MS3ZIKhzL9Y18EwOt2s/2bD+nUXxGR16ACoIjIa9hWXcf/HTgGQFKMnd8tno3dajE5lUjf1B7ay9E/PgaAPT6BuV96FEtfPk2LSNisXbsWgPz8fMaOHRuy+42xWvnzsrkkx9gB+Nb+o+wY4C2yXV19/9nOztDlkIHHarcz/5EfY09IBODw739G3ZF95oYSERmgVAAUEXkdj+w9zPbqOgDm5GTypakTTE4k0ncHf/ND6g7vBSBzwjQmvvvjJicSkcsJbgMO5S7AR6ZPYEZWOgA7a+r59v6jIbtvo5SVQUf7tf9ce7uFixdDn0cGjknv+xQZYycBUHdkP0ee/JnJiUREBi4VAEVEXofL4+Xt67fT3N0NwOemjGVZfo7JqUT6xut2s/WRT9Ld5ptvOf7tD5A7Y57JqUTk9axevTpwHao5gIvysvn0pDEANHV185Z12+j2eEJy30YZkpjAd6ZNJeZI4TX/7NnWEm79zDLSC1IMSCZmy546m7Fvfi8A3a0tbPnKx/G4dNKziMjrUQFQROQyzrS08Ylt+wCwWiw8sXh24MREkUjTWn6BPT98BACL1cqcLzwaODFRRAaWCxcucOqU71T6pUuXYrX2b9meHuvg94tnY7P4xll8dOseSluu/WCNcBmSmMBP50/n+D038dHxo7C+MA68Vz+Kw4uFzWUzmHr9aD725Jt4wycWkpKdaGBiCSdHcirzvvR9LFbfOItdP/gKbRUXTE4lIjKwqQAoInIFT548y19OnwegKDGe3y6ejaYBSqQqffEfnHv13wAk5OQx5wvfA4t+o0UGop5dgBkZGUydOrXP92MBfr1wJkOTEgD446lz/Nn/vjbQ5MTF8q2Zkzh69418cOwIHP7CZ9XxBF7+WdZV38/Pn8zm5Nk4AOwxNubcOYFP/eUt3P7gYlKyVAiMaBYLsz//XRJyCwA4+/KznHvlXyaHEhEZ+FQAFBG5Ch8J2ilxy5B8PjFxtMmJRPpu1/e/HNgpUTB/OWPufbfJiUTktYRqDuCnJ43h9mJfC+3pllY+tnVvv7OF2rDkRH44dxpn7r2FhyaPJc5/UFF5ewef2LaX4U89z40freGhh+ByXZ7d3fCZz8BH3lnN/3vzX3jhx5tpqfMNELTFWJl56zg++Zc3c/PHFpCWlxyOfzUJsbFvfi9Fi64DoPXieXb/4KvmBhIRiRAqAIqIXIWmrm7uW7uVTrdvVtK3Z05mfu7V70QQGUi6W1vY/KWP4un2Ha059YGHyZo0w+RUIvLfVq9ejcc/o6+vcwDn5GTy9RkTAeh0e3jz2m2B2bYDwfSsdH63eDZH77qJj4wfGSj81Tg7+fyug4z5+4v89MgpnG43AN/7HkyYAL/6FZSX997PxYvw2GO+f/boo77/n6vLzdZnDvH9e//Evx7dQEut74s8u8PGvLsm8qm/vJm3fftGRsy49vmCYo7MCdOY/P4HAfB0d7Hlyx8NzLYVEZHLUwFQROQq7a5t4OGd+wGwWy38aekcsuJiTU4l0jf1xw6y72ffBsBiszH/kR8Rm5pucioRCVZXV8ehQ4cAWLx4MQ7Htc2gzYh18Oelc4nxt9F+evs+9tQ2hDzntbJbLbxp2BC23rqCHbet5G0ji7FbfaMIKjucfHr7PoY/9Tz/d+AYHf7CX7ATJ+ADH4DCQsiePZPs2TMpKoIPfhBOnvzfx3N3e9j1n6P8v7f+lZd+tpXWhg4ALFYLY+YXc/8P3sAHfnEnE5eNwGrTx6OBypGSxvxHfoTVbgdgz4+/Qf3xQyanEhGJHHqHExG5Bj89ciowD3BIYgJPLJ6FVfPTJEKdePrJoHmA+cz54qNY+nnQgIiEVs8cwISEBGbPnn3VP2e1WPjDkjkU++f+/b30Ar88dtqQjFcrOcbOxyaM4vjdN/PnZXOZlZ0R+Gcnm1v51PZ9jPrbC/zo8MnXLPy9lo5OKx2dV/e61e10sflvB/j+PX/imW+tpaq0PvDPisbncO9XV/Lg39/K8nfNJD5FX/ANJBarlXlf+X8k5vl2a55f8zynnv2TyalERCKLVvkiItfow1v2cKrZ125yU1E+D08ea3Iikb7b9eiXaC07B0DBvKWMe9sHTU4kIsH6Ogfw81PGcUNRHgAnmlp4/6ZdIc92tebnZvH4wplcuO9WfjBnaqAo6QVeuVjJTS9vYPzTL/Ljayj89Yer282+l0/ws3f9nd9/5gVO7SzD6/X9s+TMBJbdP4MH//ZW7nx4CUMn5RmeR65s/Ds+RP6cxQC0XChlx3c+Z3IiEZHIYzc7gIhIpGnu9s0D3PSG5cTZbDwyfQJ76hp4uazS7Ggi16y7rZXNX/4IK3/5NDZHLJPe+0kajh+iYvsGs6OJCLB+/Xq6u7uJiYlh2bJlPPLII1f8mZuK8vnytPEAdLjd3Ld2Gy3dlzk5wwD5CXG8bUQx948expjUSw/bcLrd/On0eX50+ARHGprDmiuY1wundlzg1I4L5AxLZ/7dk5ly/SjsDhuO+Bim3zyW6TePpeZ8I3tfOM7el0/QWt9uWt7BqmDeUia+++MAuDudbP7SR3G1t5mcSkQk8mgHoIhIH+yra+SDm3cDvjarPy6Zw8iUJJNTifRNw4kj7PzuFwB/m9VXf0hSUbHJqUQEoKWlhd27fe838+bNIzEx8bK3L0lK5HdLZgfGU3x0yx4O1DcaHROAGKuV24YW8M+VCyh90xv49qzJlxT/zre288iewwx/6nk+sGmXqcW//1Zd2sA/v7eeR9/0J9b8dhdNVb0HS2QPTeP6D87hM0+/lbd+6wbGLijRrMAwScwvYs4Xvx8YT7HrB1+h8dRRk1OJiEQm7QAUEemjP546x9ycTD44dgTpsQ6eXjGfBf9ZQ5srvLssRELh7MvPkjVxGiPvfCuO5FQWfvMXrPrA3bic2u0iYrbVq1czd+5cHA4HCxYs4JVXXnnN2yXa7fzrugVkxvoOC/npkVP87uRZQ7PZLBYW5mVxV0kRd5UUkRsfd8k/73R7+Nf5izxxopTV5dV4enptB6i2hg7W/n436/6whxEzCpl+81jGLSrBHmPDarMydkEJYxeU0FrfzuF1Zzi0/gznDlTi9Qzsf69IZI9LYPF3Hyc2NQ3wza0tff5pc0OJiEQwFQBFRPrhk9v2MSEthUV52UxMT+V3i2fzpjVb0McAiUR7fvQ1UoeNInvqbNJGjGHulx5l0xc/DAP8A7tItFuzZg1f+IJvl+7y5ctfswBoAR5fNJMJ6akAbK2u46Ed+w3JY7VYmJeTyd3Diri7ZAj5CXH/c5sjjc388dQ5njhRSo2z05AcRvJ6vJzaWcapnWXEJTmYuGwEs24bT8HoLACSMhKY88aJzHnjRNqbnZzYdp7Da89wcscF3C6PyemjgMXC7M99h9ThowGoPbiHfT/7lsmhREQimwqAIiL90O3x8JZ129h+20oKEuK5s6SQT00aw/cPHjc7msg187hcbPnKx7n+N/8kPiuXoiU3MPa+93LsL4+bHU1kUNuyZQsdHR3Ex8ezfPny17zNg5PG8KZhQwC42N7BPau30OUJXSHKbrWwJC+Hu4cVcUdxIdlx/3tKbq2zk7+VXuCJE2fZW9cQssc2m7O1i13/Ocqu/xylYEw2M24ew8TlI0hI8RU+E1LimHr9aKZeP5q2hg6ObCzl8LozlO6rwONWMbAvxr3lfQxdcQsAHTVVbPrCh/B0d5ucSkQksqkAKCLSTxXtTu5Zs5U1Ny0l1mbl2zMncaKphf+cLzc7msg166irZtMXPsyKn/4Za4yDKQ88RMuFUi5uWmV2NJFBy+l0sn3TJpbkZjK97DS/WTafC01NbK+uZ01FFcvyc/jGzEmA/4uptduo7HD2+3GHJSeysiCXFQW5rCjIId3fWhysrrOLFy9U8PTZMl4uq6Q7hEXHgaj8eA3lx2t4/kebGTIhlwnLRjBp2XCSMnwnGyemxzPrtvHMum08XU4XFw5XcXzLOY5uOktjZYvJ6SND/twlTP7Ag0DPF1Mfw1lfY3IqEZHIpwKgiEgIbK+u42Nb9/DYwplYLRaeXDKHRc+t4VBDk9nRRK5Z3eG97P7BV5n18Ld8h4J8+QeseuAeGk9rZ6uIGd4+spipf38Cj9s3Y/adwwqBQgCqnZ2k2GOw+Q/9+NCWPWyuqu3T4yTYbczLyWJFQQ4rC3KZnpX+mrcbbEW/1+LxeDl3sJJzByt58adbGOovBk5cOpzkTF8x0BFnZ8SMQkbMKOTmj86nobyZ07svcnqXr7XY2dZl8r/FwJM2chwLvv5TLFYbALu+90VqDuwyOZWISHRQAVBEJER+c6KUcekpfGLCaJJj7PzruoXM/89qqkKwC0Mk3E7/5ylSSkYy5t53Y09IZNF3H+fV978RZ33fCgsi0jffnTWZT08aA+7XPmAqJ6gV9/sHj/PEidKrvu+MWAdzczKZk53Jorws5uZk4rC+9um2x5paeKWskn+eu8imqtoBf5hHOHmDioEv/XQLxZPzGbd4GKNmFZE1NC1wu/SCFGYWpDDz1nG4ut1cOFzFuf2VXDhSxYXDVXS0RN6sxFCKTU1n4bd+gT3eV0A99pfHOfP8301OJSISPVQAFBEJoYd2HGBkchJvGFpAcVICT6+Yz8oX19GpGUASgfb97NskFRVTuGAFiXmFLPzmL1jzsbfi6dauFZFweO+Y4b7i31U62dx62X8+PDmRBblZTM9KZ0FOFlMz07D6dw7+t9ZuF+sra3jufDmvXqzibGvbNWUfrDweL6X7yind5xsDkpSRwMhZRYyZX8yIGYXEJ/sKtvYYG8OmFjBsakHgZxvKmzl3qJLy47WcO1hJxcnaQXO6sM0Ry6LvPk5SgW+OZcW29ez/xfdMTiUiEl1UABQRCSGP18s71u9g4xuWMSE9lXk5mfxq4UzuX79DJwNLxPF6PGz72qdY+Yu/kzp8NFmTpjP7s99m2zce1MnAIgZLjrHzjRkTr+lnvj5jIn89cx4LMC4thUnpqUxIT2VieirTs9JJc8S87s+6PF521dbzysVKXrlYxc6aetz6e95vrfXt7Hv5BPtePoHVaqFofA4jZw9h5KwiCsdkY7X17rhML0ghvSCFqdf7Tr51tnZx8XgNVWfqqT5bT9XpeqrPNtDVEWWHYfhP/M2aOA2AxtPH2fzlj+L1uE0OJiISXVQAFBEJsebubm5/dTNbbltBTlwsbx1RzNmWdr6y55DZ0USuWXdbKxsefh/X/eofxKVnUnLDHbRVXuTg4z8wO5pIVLt1aAFZr3HS7uVkx8Vy8u6byYqP5bX39fWqdXayrbqObdV1bKmuY1dtPe0uFVyM5PF4OX+oivOHqljz21044uwUjs1h6MRchkzw/S8hNS5w+7gkR2CGYA+vFxormqkqrae6tIHKM/U0lDfTWNlCa0OHGf9a/TblAw9SfN1tAHQ2NbDp8x/E1a4dpyIioaYCoIiIAc62tnH36i28cuNi4mw2vjB1HGVt7Tx+/IzZ0USuWVtFGZs+/wDLfvQHbI5YJrzzw7RXlXP63381O5pI1FpRkNOnn8uO/9+iYbfHw7HGFrZW17Gtxlf0O9GkE2nN1uV0XdIuDJA1NI0h43MYOjGPovE5ZBenY7P37hK0WHp3Co5dUHLJ/XV3umioaKGxqpXGypbe/1W10t7kpL3ZSUfzwJozOPKOtzDubR8EwN3pZOPD76P14nmTU4mIRCcVAEVEDLKlqpb71m7jmRXzsVks/HT+dKo6nPz7fPmVf1hkgKk9uJstX/ooC7/9CyxWGzMf/BrOhloublxldjSRAevejCRsY4YDkBRjJ8ZqxQKk+ltxY2020h0xZMQ6yIyLJSPW4buOdbzubL4raXO5WFNezeGGZg42NHK4oZnjTS2D8qTeSFR7vpHa843sfekEALYYK9lD08kpSSd3eAY5wzPIHZZBWl4y//0rEhNrJ6fEd9vX4/V4aW/upKPZSXtzp68o2OSko6UTt8v3O+Js7cTrBY/LQ6e/3diak8HhnfUh/XctmL+MGZ/8qj+Xh61f+xS1h/aG9DFERKSXPWHizCveKLbEN4fCq4WDofQ8h4ee5/DQ8+yzBvjMuXp+UJKJzWLhj8vnc+uxSna2huZkYD3P4aHn2aehqYmDT/2OyW9+DxarjfmP/Jgt/+8bNJSeCMn963kOj5hcXzvh1awBpe9iS0bzq6xOGJ4Z1sf9W0MHH6/sBGIhIRcScokphNef/hfZBsPrRjPQXAWnqjywtRaoxRFnJSs/nqy8eFIzHaRlOkjNdJCaHktSugPr69SPLVYLiWlxJKbFvfYNLuNUTVbInue04uHM//RXsNhsABx++knq6+oG/evSYPh9Hgj0PIeHnufwuJbnWTsARUQM9uvqZobH2flIXioJVgt/GZXD9UcqONMZZUO8ZVA4u/4VErPzGLHyFmyOWGY/8CCbvvcl2mqqzI4mEtEaXW5qXV4aXW7q3W4ybDZmJl3bDECAvW0Dq8VTjNHl9FBe2kZ56f/OyrPZLCSnxZCSGUtqhoOUdAfxiXbiE22+/5tgJy7RTkKSjbiE8H8cTMrJY85HPovd4StCnl71H86seTHsOUREBht7+6FdV7yRxeqbO3E1t5W+0/McHnqew0PP86U+eQgylszhLSOGkhNj4z8jM1j83FoutLX36371PIeHnudL7Ty8G7vHRfH1txObksq8j36OVR+8h/bqin7dr57n8OiePxfQ82w0i9XKO5sT6Dx3igb/Fz5dHg9tLhcArd0uXB4PLd0u6jq78PzXibu58XGcvOdmEuy2q37Mdpebp7dsod0ZnUXAj3/84yxatIg//elPrF69mubm5kteNywWCxMmTODee+9l1qxZ3HjjjSYnNk8LcDUDRyxWCwkpsTgSHNjsVhzxvr2ijjh7YPZgfHIsscUj6Tzb2O/XjfjsXOZ85fvEJqcCcGHtC+z62qe0Q8hP74Phoec5PPQ8h8e1PM/aASgiEgZe4P2bdlGYEM+S/GyGJCbw3PULWfbCOuo7u8yOJ3JtvF52fOdzxGfnkTNtDgk5+Sx59Les/sib6WpuNDudyIDxz/p22krL+vSzVR1Ofn70FA9OGnPVP/PoweNUR2nxD6CoqIi77rqLu+66C5fLRWVlJZWNTbS1d5DqsDN8+HBSUlLo6urinnvuMTtuRPB6vLQ1OmlrvPxoksTJWf1+rNjUNJb+4Pck5hcBUL1nG9u+/qCKfyIiYWK98k1ERCQUnG43d67azJ7aBgAmpKfy/PWLSIrRdzESedxdnWz87PupP34IgNTho1ny6G+xxyeYnEwkOiTYbSzMvfqiy/MXKvjmviMGJhpY7HY7RUVFzJw4gSWzZzJ16lRSUlKora3l1ltv5d///rfZESWILS6eRd95nNRhowBoPHWUTZ9/AHdX9BasRUQGGhUARUTCqLm7m5tf2cjRxmYAZmVn8I8VC4i16eVYIk93WyvrP3U/zWdPAZA5fgqLvv0Y1hiHyclEIpvDauXpFfOZm+M7QKS+s+t1T/HtdHv4zv5j3LV6M+7/aiOORl1dr71rvq6uju9973uMHz+eV155Jcyp5HKsMTEs/ObPyZo0HYCWsrOs+9T9dLU2m5xMRGRw0bYTEZEwq3V2cssrG1l/yzKGJCawvCCHJ5fM4a3rtuHyRP+HN4kunU0NrPv0u1j5i7+RkJNP7sz5zPvyD9jy1Y/jdbvNjicScexWC39aOpfrC/MAON/azpLn12KxwL3DhjA3J5PMuFjqnJ1sq67jqdILnG/t3zzZSPLkk0/yla98hfHjx5Obm4srK5+yyiq2/v1PeNRKOuBYbDbmf/VH5M9ZDEB7VTlrP/Y2nPW1JicTERl8VAAUETHB+dZ2rn9xPetuWUZufBx3lRTB0rkqAkpE6vlAt+LnTxGXkcWQZTcxH1QEFLlGNouFJxbN5s6SQgBqnJ3c/PKGwIFR3zt43Mx4A0Z5eTnl5b4jLhInzwZQ8W8AslhtzP3ioxQtuQGAzsZ61n3q/n4fGCUiIn2jnjMREZOcbG7lDa9sorHLdzrkXSVF/GrBTKwWi8nJRK5dS9lZ1j/47kBL15BlNzH7s98JnEwmIpdntVj49aJZvHnEUAAaOru48aUNHGtqMTmZyLWzWK3M+fx3Kb7uNgC6WppY98l30nzutMnJREQGL63KRURMtLeugZUvrqPBfxLwO0aV8NiCGSoCSkRqOHGYtR97K10tTQAMu+mNzHr4WyoCilyBBfjJvGm8fWQx0Dsvdn99o6m5RPrEYmHGpx6h5MY7Af+82E+/i4aTg+eQGhGRgUgrchERk+2ra+T2VZtp7XYB8K7Rw/jh3KmoBCiRqOHEETY89D5cHb6WxeG33MP0T3wZVNQWeU0W4EfzpvGBsSMAaOl2ccvLG9lZU29uMJG+sFiY8cmvMPKOtwDgam9j/YPvou7IfpODiYiIZgCKiAwAW6pque3VTTx3/SIS7DY+NG4kAB/fuhdNBJRIU3twNxs+816WPPobbHHxjHrj2wHY/f8egUFwSqnI1eop/vW85re73Nz26ia2VteZGywCFBcXc++99zJz6QqSEhM4f/QwL730Ei+88MLrnhQsBvMX/3pe893ODtY/9F5qD+4xOZiIiIB2AIqIDBgbKmu4c9VmOvyHJnxo3Eh+oXZgiVDV+7az4bMfwN3pBGDUG9/OrM98Q+3AIn5Wi4VfLpwZKP51uN3cuWozGytrTE42sNlsNr71rW/xr3/9i5qaGr77q9/y0Hd/wK5du3jiiSfYt28fs2bNMjvmoGOxWpn10Dd7i3+dTjZ89gPU7NthcjIREemhVbiIyACyuryKW17eGGgHfu+Y4Ty5ZDZ2q4qAEnmqdm1m/affHWgHHnHbfcz98g+w2GwmJxMxl81i4dcLZ/Ke0cMA386/O1dtZnV5lcnJBr63ve1t2O12ZsyYwRNPPMGxM6WUll3k17/+NcuXL2fYsGGsWbOGxYsXmx110LBYbcz+3HcZceu9gG/n38bPfoCqXZtNTiYiIsFUABQRGWA2VNZwyysbafEXAe8bPpQnl8xREVAiUvW+7az/9LtwtbcBULzyVuZ9+f+pCCiDls1i4beLZ/GOUSUAtLlc3P7qJlZdebEB3AAAO1hJREFUVPHvSlpbW/nDH/7AQw89hNu/Wz7Y3r17eeyxx0hKSuKvf/0rmZmZJqQcXCxWG3O+8H8Mu+mNALic7Wx4+H1U7txkcjIREflvKgCKiAxAm6tqueWVjTR3dwPwpmFD+NPSuTjUPikRqObALtZ9+l10t7UCMHTFLcz/6o+wxsSYnEwkvGJtVp5aPo+3jvCd9tvU1c2NL21gbUW1yckiw9e//nXe8573XPY2f/3rXwHIz8/noYceCkesQcsa42DBN35KyQ13ANDd2sK6T76Tqt1bzQ0mIiKvSZ8kRUQGqC1Vtax8cT11nb5h5neVFPH8DYtIjtH5TRJ5ag/uZu3H3kpnUyMAQ5bdxJJHn8CekGhuMJEwSbTbeXblAu4oLgSgsaubm17eoAM/roHH47nibfbt2xe43fvf/37sdr1nGsEel8Ci7zxG0eLrAehqbWbdp+7XgR8iIgOYCoAiIgPYntoGbnxpAzXOTgCW5efw4g2LSY91mJxM5NrVHz/Euk++g87GegByZ8xj6Q9+jyM51eRkIsbKjHXw6k1LuL4wD4AaZycrX1zHjpp6k5NFH6fTSWurb7dxWloaM2fONDlR9IlNTWPZj/9A/hzfnMXOxnrWfuyt1B3ZZ24wERG5LBUARUQGuL11DSx7fi0X2nwHKczNyWT9LcsoTIg3OZnItWs4cZjVH76P9uoKALImTmPlL/5GfHauyclEjJGfEMeqm5YyOzsDgPOt7Sx9fi376hrNDRbF2tvbA9ejR482MUn0ic/MYdmP/0Tm+KkAtFeVs+pD99Jw4oi5wURE5IpUABQRiQDHmlpY8vxajje1ADA+LYX1b1jGiFi1NknkaT53mlUPvImW82cASCkZycqf/43E7DyTk4mEVkmsnXW3LGNShm+X63+/lsvVSU1NZePGjXR1dfH4449f8fbd/vm5PT8roZGQmcOKnz9F2oixwP++louIyMCmAqCISITo2TWyt64BgJKkRF4cm8e0RLUDS+Tp3TVyGIDE/CIWfPorpBUPNzmZSGhMT4hl1bh8RiQnAbC7toGlQbu55erdeuutLFy4kJiYGN773vcyefLky94+MbF3tmhNTY3R8QaFtOIRLHzo6yQVDgWg/thBVn/o3sBubhERGfhUABQRiSA1zk6WvbCO1eVVAOTG2Hh+TC63DMk3OZnItetsrGf1h++jatdmAGJT0pj3yS9RMH+5yclE+ue6wlz+MyaXbLtvqb2hsobrXlxPrX+eq1ybhISEwHVHRwdVVVWve1ur1UpycnLgz4cOHTI022CQN3sR8z/+RWKTUwCo3redtR9/G51NDSYnExGRa6ECoIhIhGntdnH7q5t55mwZAIlWK8+sWMB7x2jnlEQeV0c7Gx56HxfWvgiA3RHHom//khG33WdyMpG++cDYETx3/SKSbBYA/l56gZte3kBzUFuqXJsjR47Q2NjIz372M2644YbLFgBHjhxJTEwMAKdOnVIBsJ9G3vEWljz6G2xxcQCcX/M86z55P91trSYnExGRa6UCoIhIBHK63dy3ZivfLm8CwG618MsFM/h/c6diMTmbyLVyd3Wy+csf5fjzzwBgsdmY9dA3mf7xL4NFv9ESGSzAl6dN4Gfzp2Pz/97+srqZt67bTqfbY264CLdt2zba2tp4/PHH2bhx42Vve8sttwSuv/WtbxkdLXpZLEx898eZ+eDXsVhtAJSufYmtX/0Enu4uk8OJiEhfqAAoIhKhvMB3yhv53IV6PF4vAB8dP4onFs8m1qaXd4kwXi8nnn+aw08/idfjK5aMvuedzP3i97DGaM6lDGxxNhtPLpnDl6eNB8Dt9fLQ+XoePt8QeH0OJYvFwpgxY0J+vwOVy+Xi61//Or/4xS8uaQf+b6mpqXzsYx8D4JVXXuHJJ58MV8SoYnPEMu/LP2Diu33Ppdfj5tDffsehv/8+8PosIiKRR58QRUQi3M+rWnjTmq10uN0AvG1kMatvWkpufJzJyUSu3Zk1L7L5ix/G3ekEoOSGO1n+kz8Tl5FlcjKR15YVF8uLNyzizSN8hyN0uj28bd12Hqs25qTf9PR0nnrqKXbv3m3I/Q9Uv/rVrygrK+PZZ58lK+t/Xw9SU1N5+umnKSkpYdu2bdx33324/3979x1fdXX4f/x1Z/beISEEwgp7yF5hKKCCrfOHs1pbtY7aqrVa7bC1raOto47a1jqwVlyggAxBhABCWAGSQAIkZO+97/j9EbyaL6hESS65vJ+PBw9uPvfcm/f9eIXcN+dzzom/F+X0eQWFMOsv/yFh3iIAHO1tbPvN3Rz7ZI2bk4mIyHelAlBExAO8n1fIBR99SvmJBeYnRYaRevFshocEuTmZSNcVfLqWjT+9jtaaKgDCh49h3ovvEDzg3JnxJL3DyNBgdiyay/ToCADKWlqZs/oTlh3LP6Pfx2KxMG7cOP7yl79w+PBhLr/88q+dCeeJnE4nS5YsISMjg6ysLP72t79x2WWXsXDmdO7/0U0cPHiQ6dOn8+STT5KSkkJ1tTao6KrgpKFc8O8VRIyeAEBLdSUb7ljC8Q0r3ZxMRETOBBWAIiIeYmtpBectX8feyhoA+vn7seWi2SzqG+veYCLfQsX+Xay58WKqD2cA4BcTx9wX3qbP9LluTibSYX5cNJ9cOIu+/h1F3MHqWqas+JjtZZVn7Hs88cQT5Obm0tjYyKZNm4iIiKCuru6MPX9vY7PZuPvuu5k+fTr19fVcf/31/PSGa0ge2J/HH3+cpKQk7rnnHlpaWtwdtdeJmTSTOX9/E9+ojp8Zao8eZt2Pvk/FgT1uTiYiImeK2d0BRETkzClobGb2qk9YmjKRBXEx+FvMLJszhQfS9vPk/kPujifSJU1lJWy44/8x+TdPETt5FmYfX6b94Tn2Pf84Wf99yd3x5BxlAO4dOYTfjxuO8cRmHyvzi7nmk+3Ut9vO6PdatmwZH330EUVFRRw+fBibzcaWLVvo3//c3vU9MzOThx56CAC/kR2z1RrTd7gzUu9lMDB0yY8Y+eN7MBg75oYUbd3A1t/8FFtTo5vDiYjImaQZgCIiHqauvZ1L1qXyWHoWACaDgT+fN5KlsybhZ9a/+0jv0t7YwOZf/IjMpS8CYDCaGP2T+5nym6cwe59bl0CK+/lbzLyRMolHx49wlX/PZGTz/fWpZ7z8A/jss89Yv349GRkZ2Gxn/vnl3Gb28WXKb59i1K33ucq/w8teYfP9t6j8ExHxQCoARUQ8kN3p5IG0/fx4SxptJ3bsu7J/PFsumk3/AD83pxPpGqfDzr7nH2Pnnx/A0d4OQN+5FzH3xWX4x8a7OZ2cK5IC/dly0WwuT+x4z7XaHdy8JY27t+/F3g07/Yp0J/+4BOa+8DZ9Z18IdGz2seOP97P7qd/hdGjzFBERT6QCUETEg/3r8DHmrPqE4qaO9ZBGhAaRdsk8rQsovdKRD/7HhjuX0FxZBkDwgCFc8PKHWhdQut38uGi2XTzHtbFSUVMzc1Z/wsuHj7k5mUjXxUyayfkvvefaWKm5opQNdyzh6Mplbk4mIiLdSQWgiIiH21ZWyYQV69h2YmH6QIuFZXOmcP/IIRjcnE2kqyr272btjYup2L8bAIufP9P+8BzJ194KBr2j5cwyGgz8anQyK+ZNI8TLCkBqaQUTlq8/o5t9iPQEg9HIsBtuZ8Zj/8Qa0FFml6ensebGxdrsQ0TkHKACUETkHFDc1ELKqo2d1gX8/fgRLJ83jbATH2pFeovmyjI+vv2qTusCjvzxPcz480t4BQW7N5x4jHBvL1bMm8Zvxg5zrff30qGjzFu9iZJm7TIrvYtXUAgzHvsnI354t2u9vyMr3mTjXdfQUlXu5nQiItITVACKiJwjbI6OdQFv3pJGi71jfZ+F8THsXDyPiZFhbk4n0jVOe8e6gDv+eD/2tlYAYqekcMG/PyBs2Bg3p5PebkpUOGmL5zE/LhqAZrudH3y6g1tTd7nWVRXpLcJHjOOClz8kZtJMAOytLWz//T3sfOxB17qqIiLi+VQAioicY14+fIxpH24gp64BgL7+vmxamMLDY76Y5SLSWxxduYz1t1xGQ0EeAL5Rscx97n8Mv/Eu1ywXkdNlAO4cNpCPF8wkzs8HgOy6BqZ+sIHXcvLcG06kqwwGBl1+A7OfeQPfyI4yu74gl3U/vozcj95zczgREelp+slYROQctLeyhokr1vNObgEAZqOBh8cks2z2ZNc6VyK9RfXhDNb8cDH5G1cDYDCZGH7jnUz9w3Ouda5EvkmYl5X35k7lLxNHYzlRHr91LJ8Jy9eRXlXj3nAiXeQVFMz0P73I2Lsewmg2A3D845WsuXERNTmZbk4nIiLuoAJQROQcVdvWzpUbtnFr6i5a7R2XtC1O6MPuS+YxMybCzelEuqa9oZ7Uh24/cUlbGwBx0+cx/5WVRI6Z6OZ0crabFRPJrkvO56ITO6S32h387LO9LNm4nfp2m5vTiXRN5NhJXPDySvpMnQOAo72N3U89wtZf34mtqdHN6URExF1UAIqInONeOnSUGSs3cKy+40NBvJ8va+fP5JFxw12zYER6iyMr3mT9rVfQWJwPgG9kDClPvcbIH/3cNQtG5HMWo5FHx49g7fwZrkt+j9Q3MO3DDTx9MNvN6US6xmg2M+rW+0j522uuS34bCo+z7seXcXjZf9wbTkRE3E6f7EREhF0V1Yx7fx2vn1jjymQw8MtRQ9l8UQoDA/3dnE6ka6qy9vPRDReRu6ZjjSuD0UTydbcx9/llBMT1c284OWskBvixYeEs7hs5xLX+6dvHCpi4fD17KqvdnE6ka/xi4pn9zH8ZevWPXeuf5m9cxdqbFlN9+KCb04mIyNlABaCIiABQ197ODZ/u4IZPd1B3YlfA8eGh7Fg8jxsG9nNvOJEuam9sYPsj97D9kXtob+zY8CZ06Egu+PcKEi+8zM3pxN1uHJTInkvOZ/KJHdBr29q5dtNnXLVxGzVt2hVVepf+F13BgldXET5iLNCxJMK2395N6kN30NZQ5+Z0IiJytlABKCIinbyek8eY99aSWloBQIDFzD+nn8fK86fTx9fHzelEuiZ3zXt8dP1CytPTADD7+jHxl39m5pMv4xMR5eZ00tOifLx5d+5U/jFtPP6WjkvCd5ZXMWH5ev575Lib04l0jXdoONP/+CIT7v8jZh9fACoz9rHmpkXkrVvh5nQiInK2UQEoIiInyWtoYs7qT/jD3kzsTicAF8RFs+uSeVyWGOfmdCJd01hSyIY7lnDwlb/jdNgBiJk4g/n/WUl8ykI3p5OeckViPOnfv4BFJzb6sDmc/G5PBtNXbuBIfYOb04l0Td85F7LgtTX0mT4XAKfdzoF/P836Wy+noVBltoiInEwFoIiInJLN4eTXuw8w/cMNZNXWAxDu7cWbKZN5M2Uy4d5ebk4ocvqcdjv7X/oL62+5grq8IwB4BYUw9ZFnmPrIM3gFhbg5oXSXYKuF/8yYwBspkwjzsgIdG33MWf0Jv9tzEJvD6eaEIqfP6h/IpIeeYMpvn8YrKBjo2Ohjwx1LOPDvp3Da7e4NKCIiZy0VgCIi8rV2lFcxYfk6nsnI5vOPyZclxrHnkvO5JKGPW7OJdFVlxl7W3LSYw8tegROzW+NTFjL/1VXEzTjfzenkTPt+vzgOXDqfa5ISAHA4nTx1MJvR736xzIFIbxE/az4L31hLvwu+B4DT4eDQWy+z+roFrmUOREREvooKQBER+UZNNjt3b9/LzJUbyanruFQuxtebt+dMYfm8acT5aW1A6T3sLc3sfup3rL/tShoKOna+9gmLZNqjzzPjsZfwjYx2c0L5rqJ9vHkzZTJvzZ5MtI830LG0wfkffcrPP9tLs2ZJSS/iHRrRMVv593/HOzQC6FjaYONPr2XP07/H3tri5oQiItIbqAAUEZHTtrW0ggnL1/PPQ0ddswEvjI9hzyXn84NBiRjcmk6kayr272LNTYs4suJN12zA2Cmzmf/KKvpfeDkY9I7ubQzATYMSOXDpfNd6pU7gH1lHGf3eGj4pLnNrvjPB8KX3pUHvUc9mMDDg4itZ+MbaL9YrdTrJWf5fVl+3gLLd292bT0REehUVgCIi0iV17e3ckrqLeas3uWYDhnhZeWnaeNbMn8mAAH83JxQ5fe2NDex87EE23HWNazagNSCICb/8Eyl/fRX/Pn3dnFBOV1KgP+sWzOTFaeMJtloAyK5rYM6qT7ht6y7q221uTvjdWSwW4uI6ik2DweC6LZ7HPy6B2U+9znm/eBSrfyAA9QW5bLjjatIe/xW2pkY3JxQRkd7G7O4AIiLSO31SXMaY99Zy78gh/HLUECxGI7NjI9n7/fN5PP0Qj6Vn0aLL7KSXKNu9ndXXL2To1T8m+brbMJrNRI2fwoJXV5O59B9kvv4C9rZWd8eUU7AYjdw9fBAPj0nG22QCOjYxej4rh1+lHaDR1nuLv/POO4/Zs2cTEhKCv78/M2fOpG/fL0rp1NRU1qxZQ2VlJfX19Rw4cIDly5e7MbF8V0azmcFX3sTwm+7CZO3YbMtpt5P97uukv/gEtpYmNycUEZHeSgWgiIh8a812O7/bc5D38wp5adp4xoWH4GMy8fCYZJYM6Mud2/awtrDE3TFFTou9tYUD/36Kgk/XMuH+PxI6ZAQmL2+G33gn/c5fTNpff0PJZ5+6O6Z8yayYSJ6ZPIahwYGuY/uravnhlp3sqqh2Y7IzIzIyknHjxtHc3ExLSwtbt25l69at1NXVERAQ4LoEOCIigv79+9PUpHKoN4scO4nxP/stgf2SXMdqjmSx44/3U5W1343JRETEE6gAFBGR7yy9qoZpH27gzmEDeWh0Mv4WM0mB/qy6YDpvHj3OvTv2UdykRcqld6jJyWT9LZcx6PIfMPzGOzH7+OIfl8CsJ18mb/0H7H3mUZore/9acr1ZrK8PT04cxeWJ8a5j9e02frv7IM9mZmNzOL/m0b3HypUrWblypbtjSDfzCY9izJ0P0nf2ha5jtqZG9v/rbxx++xWcmk0vIiJngNYAFBGRM6Ld4eDJ/YcY8e4a3sstdB2/qn9fDnx/PncPH4TFqL92pHdw2Gxk/fclVl19PgWb1riOJ8y9mIVL1zL4qpswmvXvqD3NajRyz4jBHLj0gk7l39vHChj+zkf87eBhjyn/xPMZLRaGLLmZhUvXdir/8jeuYuXV8zj0v3+r/BMRkTNGn8REROSMym9s4vINW5m3ehOHausBCLJaeHzCKNK/f4FrZ06R3qCprJgtD97Gxruuof74UQAs/gGMuf0BFry+5oudOaXbzYmNIu2SefzpvJEEWjo2+ThS38BFazdz1cZtFDY1uzmhyOmLGj+V+S9/yOjb7sfi17F5VkPhcTbdcyOpD91Bc3mpmxOKiIinUQEoIiLdYmNxGePfX8fv92a4NgMZGOjPmymT+eD8aQwOCnBzQpHTV7prGx/94GIO/udZ12YgAXH9mPrIM8x4/F8E9O3v5oSea2hwIKsumM6a+TNIPrHWX8f6oxmMenctHxVonVHpPQL7JTHzyZdJ+durrrX+OtYffZrV186nePsmNycUERFPpWtXRESk2zTb7fxm90H+cziXP08YyaX9Omb/LYiLYW5sFM9m5PDovkyqW9vcnFTkm9lbW9j/z79ydOUyRt92P/EpCwCInTyL6POmkf32Kxx85e+01de6OalnCPOy8uDoZG4dOqDT8gHLjuVz/8508hq04YX0Hl5BwQy74Q6SvndNp+UDjm9Yyb7n/kxjSeHXPFpEROS7UwEoIiLdLrehkSs3bGNGdAR/mzSakaHBWIxG7h4+iBsG9uPx/Yd4+mC2a6agyNmssbiA1IduJ3L0RMb+9CGCk4ZiNJsZfNVNJF54GZmvv8jhZf9xzRSUrrEajdwydAAPjxlGsNXiOr63soa7P9vL5pJyN6YT6RqjxULSJVcz/Ka7sPp/sVt19eEMdj/9COV7d7gxnYiInEt0CbCIiPSYT0vKOW/5en6ydTcVLR3lSIiXlUfHj+DApRewZEBfjAaDm1OKnJ6yvZ+x5sbFpD3xEK211QBYA4IYdet9LFy6loTzF2PQxjenzWgwcG1SAlmXLeAvE0e7yr+yllZuSd3FhBXrVf5Jr2EwGuk3/3tc9OYGxt71kKv8a6muZOdjD7L2h4tV/omISI/ST6UiItKj7E4nL2YdYfDbq/lzehbNJ2b99fP349WZE/ls0RzmxEa5OaXI6XE67OS8/wYfXplC5usvYG9tAcAvJo7JD/+F8//5PlHjp7o55dnv/D7R7Fw8l5dnTKCvvy8ATTY7j+7LZMiy1fzz0FEcTu3uK71D9MQZnP+v5Uz61RP4RsUCYG9pJuOVv7PyqtkcWfEmTofDzSlFRORco0uARUTELWrb2nkwbT/PZeTwqzHJ3DgoEZPBwJiwENbMn8HW0goe3n2QT4rL3B1V5Bu1N9Sz74XHOfzOqwz/wZ30v+hyDEYTIYOGkfK3V6nYv4v0l/5C2e7t7o56VpkcGcbvxg0nJSbSdczhdPJubiG/2LlP6/xJrxI+YiwjfvgzosZNdh1zOhwUbPqIvX//k9b5ExERt1IBKCIiblXY1Mytqbt4+mA2vx4zjMsSOzYKmRIVzvoFM/m4qJQH0w6QVlHl5qQi36y5vJSdjz3IobdeZsRNdxGfshCA8BHjmP30UkrTUtn34hNUZaa7Oal7nRcRyq9GJ3NhfEyn4x8XlXLvjnTSq2rcE0zkWwhLHsWwG24ndsrsTsdL01LZ8+wfqcnJdFMyERGRL6gAFBGRs0JmTR1XbdzGrKxIHhk3nMmRYQDMiY1i9qIoVuQV8ps9B9lfpR1W5exXl5tD6kN3EDl2KSNv/jnhI8YCEDV+KuePm0LBlvUc+OffqDmS5eakPWtUaDC/HTuMi/rGdjqeWlrBw7sPsKlYa/xJ7xEyMJnhP/wpfabO6XS8PD2N/S/9hbI9n7kpmYiIyMlUAIqIyFnlk+Iypn+4gTmxUTw6fgTjwkMwAIsT+rAooQ+r8ov5w94MdpRrRqCc/cp2b2f9rZcTNX4qo265l9AhI8BgIG76POKmzaVo20YO/ufvVGbsdXfUbjUqNJhfjhrKpYlxfHmbn/1VtfxhXwZvHytwWzaRrgoZmEzydbcSP2sBfGnjqpojWRz8z9/J37jKjelEREROTQWgiIiclT4uKmXiilLmxEbx2ISRjAoNxgBcGB/DhfExbC2t4Ne7D7JRawRKL1CalsraH6YSNX4qo39yPyEDk8FgIHbKbGKnzKZi/y72//OvlO7a5u6oZ9SUqHB+MXLISZf6ZlTX8bu9B3nnWAHa2kN6i/AR40i+9paTLvWtPZbNgX8/Tf4nq0Gb1YiIyFlKBaCIiJzVPi4q5bzl67msXxwPjB7K8JAgoKNYWLdgJp8Ul/HHfVl8XFTq5qQi36w0LZW1Ny0mPmUBydf9hOABg4GOYiHlqdcp272dg68+R2laqpuTfjfz+kTxy1FDmREd0el4elUNf9ibyXt5hdrVV3qN6AnTSb7uViJHT+x0vCYnk4Ov/J2CTWu0q6+IiJz1VACKiMhZz+F08taxfJYdy+fCvrE8OGoo50WEAjArJpJZMZGkV9Xw1wOHefNoPu36ICZnMafDwfGPV3J8wyr6TJlN8vU/ISx5FACRYycROXYSNTmZZL35L46v/wCHzebmxKfHaDCwMD6GX40eyvjw0E737auq4Y/7MjXjT3oNg9FI7OQUht1wO6FDR3a6rzo7g4xXn9eMPxER6VVUAIqISK/hBD48XsSHx4uYGhXOb8YOIyUmEoCRocG8PGMCvxk7nBezjvBi1hFq29rdG1jk6zidFKZ+TGHqx0SMHM/wm35K1LjJAAQnDWXSr55gxA/vJue9peQsf4P2hno3Bz41f4uZGwcl8tNhg+jr79vpvq2lFTy2/xArjxep+JNewezjS/+LrmDIVTfhG9V5s5qK/bvIfP1FCrduUPEnIiK9jgpAERHplVJLK5i3ehMzoiO4Z8RgFsTHYAAS/H15dPwI7h0xmH8cOsoLmUfIb2xyd1yRr1WensbGu64hcvREhiy5mdjJs8BgwC+6D6NuvY+h1/yYI8v/S/a7r9NUVuzuuEDH/2u3DE3i5sH9CbZaXMcdTier8ot5Yv8htpRWuDGhyOnzi+5D0veuYcDiq7D6B7qOOx0OirZtJOuNlyjft9ONCUVERL4bFYAiItKrfVpSzqcl5SQF+vOT5CR+OLg/PiYTIV5WfjFyCPeOGMzqghKePpjNhqJSzUKSs1rZ3s8o2/sZ/nEJDLr0egYsuhKTlzfWgCCGXnMLQ5b8iOLtn3Dorf9QumurW2YhjQ0P4c7kgVzVvy9m4xc7oLY5HLx1NJ/H9meRUV3X47lEvo3QwcMZdMUNJMxdhMFkch13tLdzfMOHZL7+IrXHst2YUERE5MxQASgiIh4hp66Bu7fv5fH0Q9yenMSPhgwg2GrBaDC4dg7eV1XD3zNyeOPIcVrsdndHFvlKDQV57H7qd2QufZFBl1/PgMX/D6t/YMe6ZCd2Dq7OziD7ndfIW7sce1vrNz5nYL8k+kydjdfEjh1MhzS0UrR1I3W5Od/4WB+Tif83oC+3JycxMjS4033VrW28mHWUZzOyKWlu+VavV6Qnmby8SZi3iEGXXUdw0tBO97XV15Lz/hscXvYKLVXlbkooIiJy5qkAFBERj1LU1MwDafv53Z4MLk+M4+cjBrt2Dh4VGsw/po3n8QmjeOtYPs9l5rC/qtbNiUW+WnNFKfuef4wD/3qK+NkLGfL/bnbtHBwyMJkJ9/+RMbc/wPENK8l+5zVqjmSd9By+kTGM+/lv6TN1TqfjowePYvRt91O4eT27/vprmspKTnrskKAArhvYjxsHJRLu7dXpvsO19byQdYR/HTpGYy/ZqETObYEJA0hceCn9L7oCr6CQTvfV5x8j+93XOfrBW9hatGyEiIh4HhWAIiLikVrsdl7LyeO1nDymRoVzR/JALknog9loIMhq4ebB/bl5cH92V1Tz0qGjvHHkuEoMOWvZ21rJ/eg9cj96j4iR4xl0+fXEzbgAg8mExT+AAYuuYsCiq6g6dIAjy/9L3toV2FqaCEocSMpTr+EdGvGVz91n+lzCho1i413XUnssGy+TkYv7xnLz4P7Mjo3C8KWxDqeTjcVlPJORo409pFcwWqz0mTaXpMVXETVuChi+eEc7HQ7Kdm/j8LJXtLGHiIh4PBWAIiLi8VJLK0gtrSAxwI8fDxnA9QP7EXFiNtPY8BCeDx/Ho+NHsPTIcV7JzmVPZbWbE4t8tfL0NMrT0/CLiWfg964mceGleAWHAh3rmYXe9wdG3Xofxz9eSezUOV9b/n3OOzSCuY//k+nP3M818VGdNvUAKG9p5ZXsXF7MOsKx+sZueV0iZ1LokBEkLryUhPMXd9rUA6C1popjq94h+72lNBbnuymhiIhIz1IBKCIi54xj9Y3cvzOdh3cdYFFC5xlOIV5Wbk9O4vbkJDJr6ngtJ49Xs3O1ppmctRqL89n73J9If+lJ+kyb12mGkzUgiKRLlnTp+SzRccR//1qC9210Hft8huzrOXk0a91MOcv5hEUSP3shiQsvJWRg8kn3fz5DNnfN+9hb9We7iIicW1QAiojIOafN4eDtYwW8fayAgYH+3Di4P9cP7EfkiVmBQ4MDeXT8CH43djhrC0t4q83CRzVNaN6TnI0c7e3kb1xF/sZVBMT1o//FV5K48FK8Q8K6/FyfDjyPSdtX82pOHv86dJScuoZuSCxy5pgsVqJGjiPm2h8TM3E6BqOp0/0tVRUcW/0uRz54k4aCPDelFBERcT8VgCIick7LrmvglzvT+VXafmbFRHLz4P4sSojFajRiNhpYGB/DQqDZ6WRDpIXXcnJZkVdEm8Ph7ugiJ6kvyGXf83/m8LJXWPx+apcfXxoYypC126mv1O6ncvYyGE1Ejp1E4oLvET9zASZv7073O9rbKdm5mWOr36Nw81ocWt9VREREBaCIiAiA3enk46JSPi4qJdzbi6v6x3NdUj/GhnfsFOljMHBhfAwXxsdQ1drGe3mFvHnkOJ+WlGPXwvFylvEKCvrWjzUGhYAKQDnLfF76Jcy9iLiZF2ANOPk9XpW1n2Or3+X4+hW01tb0fEgREZGzmApAERGR/6OipZVnM3J4NiOHYSFBXDtpIpeG+pHo1fHXZqiXlZsGJXLToEQqWlpZcbyI9/MK+biolFa7ZgaK+3ibTMyJjWTBkL5s+ZbPkXzdbeStXU7JzlQc7W1nNJ9IV5isXkSNn0rczPPpM20eXkHBJ41pKi+lMG0rOW+8SO2x7J4PKSIi0kuoABQREfkaB6treaSwhkcKaxhWnMOV/ftyeWIcsb4+AIR7e3HjoERuHJRIXXs7q/NLeC+vgDUFJdS367Iz6X4BFjPz42L4Xr8+LIiLIcBixmkwkNFYS5Vf12cCJsy9mIS5F9Pe2EDxtk/I37SG4s82YWvSKpjS/cy+fsROmkXczAuInTwLs6/fSWOay0s5vmElxz/+kBZzx9qtjSr/REREvpYKQBERkdO0o7yKHeVV3LtjH9Ojw7msXzyLE2JdZWCgxcKV/eO5sn88bQ4Hm0vKWZ1fwsr8IrK1mYKcQYOCAlgYF8OC+GimR0dgNRo73W9wOhmRlcamcXO69Ly25kbMPh2Fi8XPn75zL6Lv3ItwtLdTvm8HRds+oSh1A/UFuWfqpYgQEJ9I7JQUYifPImLUBIwWy0ljmspKKNy8luMbV1ORnobzxDqsfiMn9HRcERGRXkkFoIiISBc5nE42FZezqbicu7bvYUJEKJck9OF7/fowIMAfAKvRyJzYKObERvHExFFk1zWwKr+YjwqK2VJSQbPd7uZXIb2Jj8nE9OgI5sdFszA+hqRA/1OOy6lr4L28Qt7LLSD9nXXMf33tae8G3FJVwerrFhAQl0DcjAuIm3kB/n36AmC0WIgaP5Wo8VMZc8eD1BfkUrR1I8XbN1G+byf21pYz9lrF85m8vIkYPYHYSTOJnZyCf1zCKcc1FOSRv2kNBZvWUJm5D7TeqoiIyLemAlBEROQ7cDidbC+rZHtZJffvTGdkaDCL+8ZyYd8YxoaFYDQYABgY6M9dwwZy17CBtNjtbC2t5OOiUtYVlbK3sgaHPtjKlxgNBsaEBTMvNoo5faKYHBmGt8l00jiH00laRTWr8ot5P6+QA9W1ne5PffA2Zj75MmYf36/9frbmJrY8eButNVW01lRRcWAPe5/7E8FJQ+kzfS59pswmZPBwDCdmGgbE9WPwFT9g8BU/wN7WSkX6LkrSUinduYXq7AzX7CwRAIPRSMigYUSfN42o8VMJHzEWk9XrpHFOh4OqrHSKtm6kcPM6ao4cckNaERERz6QCUERE5AxKr6ohvaqGR/ZmEOntxYL4GBbExTCvTxRB1o7L2rxNJmbHRjI7NpI/MILK1jY2FpXxaUk5n5aUk1FTp0LwHGM0GBgWEsiM6AhmREeQEhNJqJf1lGNr2tpZV1jCqvxi1hSUUNbS+pXPW56exvpbLmfig48RMmjYKcdUZe3ns0fvo/bo4ZO/V04mNTmZHHz5GbxDwoiZPIvYybOIPm86Fv8A4PONGqYQNX4K3HIvrbU1lO3eStmeHZTv20HtsWwVgucYg9FIUOIgIkZPIHL0BKLGTcYaGHzKsW0NdZTs2EzR1o2UfPYpLdWVPRtWRETkHKECUEREpJuUtbTySnYur2TnYjEamRIVxrzYaOb2iWRMWAimE7MDw7ysXJYYx2WJcQBUtbaxtbSCzaUVbC4pZ3dlNTaHCkFPYjEaGRsewvSocKZFhTM1KpyQryj87E4nuyuqWV9UyrrCUraWVXTp/VBzJIs1Ny0m+rxpxE5Oof/kGRhwcmTbZoq2bqAkLfW0Lq1sqa7k2Kp3OLbqHYxmM+EjxhE9YTrR46cSMngYBmPHDEWvoGDiUxYSn7IQgLa6Gsr376J8707K9+2k6tB+nLoE3qMYzWZCBo8gYtR4IkadR8TI8VgDTr0BjdNhpyrrAKVpqZTs2EL5/jS9H0RERHqACkAREZEe0O5wuNYN/NUu8LeYmRgRxpzYSObGRjE2PMQ1NtTLykV9Y7mob6zrsfurakktq2B3RTW7KqvJqK5z10uRbyHW14ex4SGMDQthalQYkyPD8TWffEnv547WN/JxUSkfF5WyoaiMqta27xbA6aRkx2ZKdmwmtvl2AHb/49lv/XQOm42yPZ9Rtucz0l98ArOPL2HDxhB9Xsc6gaGDh7vGWgOD6TN1Dn2mznE9tuZIFhXpu6g6tJ/qQweo1Q6uvYpPeBShg4cTMng4ESPHET58LCZvn68c31CU31H47UyldNdW2upqei6siIiIACoARURE3KKh3eYqeB5gP339fZkeFcG06I4ZYUODA11jP58t9uWSsLiphZ0VVeypqGZvVQ17K2vIb2xyx0uR/6Ovvy+jQoMZHRrMmPAQzgsPJcbX+yvHO4HMmjq2lFSwpbSczSUVve6/pa25idK0VErTUgHwjYolcvQE12ywwH5JrrFGs5nQwcM7lYTNlWVUZaRTdfgANdmZVB8+SFNZcY+/DjmZb1QsIQOTCR44lNBBwwlNHolPWORXP8DppC7vCGX7OmZ8lu/dof+WIiIiZwEVgCIiImeB4w1NLG3IY+mRPAAivb2YGh3OtKgIJkWEMjosBC+T0TU+xtebRX1jWXRiliBAZWsbeyur2VtZw/7qWjJq6jhUU0+jzdbjr+dc4Gc2MyQ4gOTgQEacKPxGhwV/5dp9n2u1O9hTWc1n5VVsLikntbSC8q9Zx683aiotInfN++SueR8A75Awwkd2XB4aPmw0IYOGYbR8cZ58wiI7NhuZPtd1rLW2hprsg1RnZ1CTc4i63Gzq8o5ia+ld5WhvYfb2JbDfAAL7JRGcNISQpGRCBiV/5dp9n3O0t1F16CCVGXsp37uD8vQ0Wmuqeia0iIiInDYVgCIiImehspZW3sst5L3cQgCsRiOjw4KZGBHGeRGhTIgIJSnQv9NjwryszImNYk5slOuYE8itbySrto6D1XVk1dSRXdfAkboGSppbevIl9Voxvt4MCPBnYFAAg4MCGBYSyJCgQPoF+GE4jcfn1DWwo7yKHeWVfFZexb7KGtrOsU0xWqorKdi0hoJNawAwWiyEDBxG2LBRhA0dRVjyaPzjEjo9xisomKjxHZcUuzidNJYUUJt7hLpj2dTm5dCQn0t9QR4tVeU9+ZJ6LZ+wSPzjEgiI60dgwgACEwcS1G8AftFxYPjmd3RDQR6VGXtP/NpHdXYGjvb2HkguIiIi34UKQBERkV6gzeE4USJ9MbMmxMvqmnU26sTvQ4ICMRu/+BBvABID/EgM8GNBXEyn52y02ThS18CRukZy6hvIrW8kv7GJvIYmChubqGk7Nz7UB1stxPn5kuDvS7yfL/0C/BgQ4E9SoD/9A/3wM5/ej0vtDgdZNfXsraphX2VNx+9VNVR/1/X7PJCjvd1VIn3OGhBEyKBkggcmEzJwKMFJyQT1S8Jg+tJaiQYDfjHx+MXEEzt5VqfntLU00VCQR0PhceoL8mgszqeprJjGkkKay0poazg31s20+gfiGxWDb1QffKNi8I+Jx79PX/zjEvDv0xezt+9pPY/DZqMuL6fjkuzsjI6ZmNmZtNXXdvMrEBERke6gAlBERKSXqm5tY2NxGRuLy1zHvExGhoUEMSw4kKHBgSQHB5IcEkQ/f1+M/2d2j5/ZzMjQYEaGBp/y+evbbeQ3NHG8sYmy5hZKmlsoa26lvKWVkuYWSptbqGxtpbq1nZazbBdPH5OJYC8LYV5eRPt6E+XtTYS3F1G+3kR5exHp401fP1/i/X0JsHTtxyGH08mxhkYyq+vIqOn4dbC6joyaWlrt59bMvjOprb6W0l3bKN21zXXMaLES3H9Qxyy1xIEE9ksiKHEQftF9MBiNnR5v9vYlOGkowUlDT/n8tqZGGkuLaCotoqW6kpaqclqqKmitqaK5spzW6gpaa6ppq6/F3nZ2XZJt8vLG6h+IV3AI3qEReIeG4xUc6rrtHRKGb1QsflGxmH39uvTcToeDxuICanOzqcvNofZoNrXHDlN7LBtHu8prERERT6ECUERExIO02h3srqhmd0V1p+M+JhNDggMZEhzAgAB/BgSemOEW4EeUz6k3qAiwmEkOCSQ5JPCU939Zi91OTVs71a1t1La1U9PWTkO7jUabjTaHg5q2dtodDhraba7fv8zudNIa2jEzyWtQIqb/U1b6W8xYjEbX78FWC1ajET+zGX+LmWCrhSCrhRAvK8FWC96mr95h93SVNrdwpK6BnLoGjtY3klPXwKHaerJq6mg+ywpPT9WxvtwBqg4d6HTc5OXdcflqwgD8+/QlIK4f/n06Zrh5h4af8rnMvn4EnSgSv4m9rZX2hjra6mppa6invaEOW3MjtuZmHLZ22urrcNraaW9qxGG3YWtq7PR4p8OBMTy64zX07XdyWenrh9FkxuLrh8FswRoQiNFswezjg9nHD4t/IFb/AKyBQVj8AzFZvbpy2k6ppaqChsI86gvyaCjMo6Egj7rjR6nLO4K9VcsBiIiIeDqz7/Dx3zjIq98goOOHGek+Os89Q+e5Z+g89wyd557hKef50Ilf2IAqB1TVAXX4mwwkelmI9zKTYLXQx2oi1momzmoi3stCtNXEN9Vp3iYT0T4mor+iTOyS/hHf/Tm+gR0oabOT39pOQZudwjYbhW02jrfZyG+1cazVRkOn2Xy+4OsLvpEYYuD0LqI8O1mi+gBwOj8Dns1agfLiIsqLiyBtu+u4ydsb/4hofELD8Q2LwCckDO/gMHxCw/AJjcA7OBiDwfjVTwyYrF6YQiPwDu3+9+KZ4HQ6aKmpobmqnOaqSlqqK2murqCpqoLmqgoay0qwnarks/rgNXD4ycd7EU/58/lsp/PcM3See4bOc8/Qee4ZXTnPmgEoIiJyjmuwO9nf1Mb+plNf7mc0GAg3Gwk3m4i0mIiymIgwm4iwGgkzmwgyGQk2mwgyGQgymwg2GQkyGU665Li7OJxOau1OauwOam32jts2OzV2B1U2O+VtDspsNsraHZS126mw2amwOXA4nT2ST3qWvaWF2vxcavNzT3m/wWjE6h+AV0AQ1oAgvIOC8fIPxCsoCKtfAGYfP6y+fph9fbH4+mP18cXs43vSLL7u4nQ4sDU30dbcRHtTA7amJtqaGmlvaqC9qYHW2lpa6mtpraulrb6W1vqOWYr6gCUiIiJfx9x0IO0bB33+A8/pjJVvT+e5Z+g89wyd556h89wzdJ6hAcjt4mN8TCa8zSYCLWbMBiNBXpaOy3i/tKmGn9mE1dRxfr0SkgBozcsBoM3uoNH2xaW2DbaOy4drW9tpdzqob7fRYrPrctwuap8yCTi338+N3zzkJCYvb0xWLyx+/hhMJqz+gRjMFsw+X8wHNfv4YDRbgZPfzw5bG7bmZtdYW3MTTls7bQ11OGwdlxHb21p1OW4X6c/nnqHz3DN0nnuGznPP0HnuGV05z5oBKCIiIt2i2d5Rzrl2wa3/+vF+AbEANB4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class Example(Scene):\n", " def construct(self):\n", " self.add(NumberPlane().fade(0.7))\n", "\n", " geos = Geos(self)\n", " init_geos = {\n", " \"c1\": geos.circle(LEFT, 3),\n", " \"c2\": geos.arc(RIGHT, 2, -PI/2, PI, color=RED),\n", " \"c3\": geos.circle(RIGHT, 3, color=BLUE),\n", " \"c4\": geos.arc(RIGHT*3, 2, -PI/2, -PI, color=GREEN),\n", " \"d1,d2\": geos.intersection_circles(\"c1\", \"c2\", color=RED),\n", " \"d3,d4\": geos.intersection_circles(\"c1,c3\", color=BLUE),\n", " \"d5,d6\": geos.intersection_circles(\"c2,c4\", color=YELLOW),\n", " \"l12\": geos.segment(\"d1,d4\")\n", " }\n", " geos.create_geos(init_geos, set_all_labels=True)\n", "\n", " self.add(geos.get_all_mobs_as_grp())\n", "\n", "%manim $_RV Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Circle-Line intersection" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class Example(Scene):\n", " def construct(self):\n", " self.add(NumberPlane().fade(0.7))\n", "\n", " geos = Geos(self)\n", " init_geos = {\n", " \"c1\": geos.circle(ORIGIN, 3),\n", " \"l1\": Line(LEFT*4, RIGHT*5).rotate(30*DEGREES).shift(LEFT),\n", " \"l2\": Line(LEFT*4, RIGHT*5).rotate(-30*DEGREES).shift(LEFT),\n", " \"d1,d2\": geos.intersection_circle_line(\"c1\", \"l1\", color=ORANGE),\n", " \"d3,d4\": geos.intersection_circle_line(\"c1,l2\", color=GREEN),\n", " }\n", " geos.create_geos(init_geos, set_all_labels=True)\n", "\n", " self.add(geos.get_all_mobs_as_grp())\n", "\n", "%manim $_RV Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Line bisector\n", "\n", ".. hint::\n", " This method returns a line, but instead of using the letter `l` I recommend using `b`, since it indicates that it is a \"bisector\", there is no penalty for using `l`, but using the `b` will help you identify objects faster." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class Example(Scene):\n", " def construct(self):\n", " self.add(NumberPlane().fade(0.7))\n", "\n", " geos = Geos(self)\n", " init_geos = {\n", " \"d1,d2\": GeosVGroup(Dot(LEFT), Dot(RIGHT)).rotate(30*DEGREES),\n", " \"b1\": geos.line_bisection_two_points(\"d1,d2\", color=GREEN),\n", " \"c1\": geos.circle(\"d1\", 2),\n", " \"c2\": geos.circle(\"d2\", 2),\n", " }\n", " geos.create_geos(init_geos, set_all_labels=True)\n", " self.add(geos.get_all_mobs_as_grp())\n", "\n", "%manim $_RV Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Angle bisector" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class Example(Scene):\n", " def construct(self):\n", " self.add(NumberPlane().fade(0.7))\n", "\n", " geos = Geos(self)\n", " init_geos = {\n", " \"d1,d2\": GeosVGroup(Dot(LEFT), Dot(RIGHT)).rotate(30*DEGREES),\n", " \"dU\": Dot(UP),\n", " \"iI_1\": geos.nearest_angle_bisector(\"d1\", \"d2\", \"dU\", color=ORANGE),\n", " \"iI_2\": geos.farthest_angle_bisector(\"d1,d2,dU\", color=GREEN),\n", " \"c1\": geos.circle(\"d1\", 2),\n", " \"c2\": geos.circle(\"d2\", 2),\n", " }\n", " geos.create_geos(init_geos, set_all_labels=True)\n", " self.add(geos.get_all_mobs_as_grp())\n", "\n", "%manim $_RV Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dot-Circle common chord" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class Example(Scene):\n", " def construct(self):\n", " self.add(NumberPlane().fade(0.7))\n", "\n", " geos = Geos(self)\n", " init_geos = {\n", " \"d1,d2\": GeosVGroup(Dot(LEFT), Dot(RIGHT*4)).rotate(30*DEGREES),\n", " \"c1\": geos.circle(\"d1\", 2),\n", " \"b12\": geos.common_chord_partial(\"d2\", \"c1\", color=YELLOW),\n", " # \"b12\": geos.dot_circle_common_chord(\"d2,c1\"),\n", " \"n12\": geos.distance(\"d1,d2\"),\n", " \"c2\": geos.circle(\"d2\", radius=\"n12\", stroke_opacity=0.3)\n", " }\n", " geos.create_geos(init_geos, set_all_labels=True)\n", " self.add(geos.get_all_mobs_as_grp())\n", "\n", "%manim $_RV Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nearest/Farthest circle-line intersection" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class Example(Scene):\n", " def construct(self):\n", " self.add(NumberPlane().fade(0.7))\n", "\n", " geos = Geos(self)\n", " init_geos = {\n", " \"c1\": geos.circle(ORIGIN, 2),\n", " \"l1\": geos.line(LEFT*3, RIGHT*3),\n", " \"l2\": geos.geos_copy(\"l1\", lambda m: m.rotate(PI/2)),\n", " \"dL\": geos.dot(LEFT),\n", " \"dU\": geos.dot(UP),\n", " \"iI_L\": geos.nearest_intersection_circle_line(\"c1\", \"l1\", \"dL\", color=BLUE),\n", " \"iI_R\": geos.farthest_intersection_circle_line(\"c1,l1,dL\", color=GREEN),\n", " \"iI_U\": geos.nearest_icl(\"c1,l2,dU\", color=YELLOW), # nearest_intersection_circle_line\n", " \"iI_D\": geos.farthest_icl(\"c1,l2,dU\", color=PINK), # farthest_intersection_circle_line\n", " }\n", " geos.create_geos(\n", " init_geos,\n", " set_all_labels=True,\n", " label_direction=DL,\n", " label_buff=0\n", " )\n", " self.add(geos.get_all_mobs_as_grp())\n", "\n", "%manim $_RV Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nearest/Farthest circle-circle intersection" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class Example(Scene):\n", " def construct(self):\n", " self.add(NumberPlane().fade(0.7))\n", "\n", " geos = Geos(self)\n", " init_geos = {\n", " \"c1\": geos.circle(LEFT*3, 2),\n", " \"c2\": geos.circle(RIGHT, 3),\n", " \"c3\": geos.circle(RIGHT*4.5, 2),\n", " \"dU\": Dot(UP),\n", " \"d1\": geos.nearest_intersection_circle_circle(\"c1\",\"c2\",\"dU\"),\n", " \"d2\": geos.nearest_intersection_circle_circle(\"c2,c3,dU\"),\n", " \"d3\": geos.farthest_intersection_circle_circle(\"c1\",\"c2\",\"dU\"),\n", " \"d4\": geos.farthest_intersection_circle_circle(\"c2,c3,dU\"),\n", " }\n", " geos.create_geos(\n", " init_geos,\n", " set_all_labels=True,\n", " label_direction=DL,\n", " label_buff=0\n", " )\n", " self.add(geos.get_all_mobs_as_grp())\n", "\n", "\n", "%manim $_RV Example" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class Example(Scene):\n", " def construct(self):\n", " self.add(NumberPlane().fade(0.7))\n", "\n", " geos = Geos(self)\n", " init_geos = {\n", " \"c1\": geos.circle(LEFT*3, 2),\n", " \"c2\": geos.circle(RIGHT, 3),\n", " \"c3\": geos.circle(RIGHT*4.5, 2),\n", " \"dU\": Dot(UP),\n", " \"d1\": geos.nearest_icc(\"c1\",\"c2\",\"dU\"), # nearest_intersection_circle_circle\n", " \"d2\": geos.nearest_icc(\"c2,c3,dU\"),\n", " \"d3\": geos.farthest_icc(\"c1\",\"c2\",\"dU\"), # farthest_intersection_circle_circle\n", " \"d4\": geos.farthest_icc(\"c2,c3,dU\"),\n", " }\n", " geos.create_geos(\n", " init_geos,\n", " set_all_labels=True,\n", " label_direction=DL,\n", " label_buff=0\n", " )\n", " self.add(geos.get_all_mobs_as_grp())\n", "\n", "%manim $_RV Example" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "venv", "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": "3.12.1" } }, "nbformat": 4, "nbformat_minor": 2 }