{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Program Files\\Anaconda3\\lib\\site-packages\\statsmodels\\compat\\pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n", " from pandas.core import datetools\n" ] } ], "source": [ "import pandas as pd\n", "from statsmodels.tsa.seasonal import seasonal_decompose\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "import seaborn as sns\n", "sns.set_style('whitegrid')\n", "sns.set_context('talk')\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load Data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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date_of_visitVisits
02009-06-0127
12009-06-0231
22009-06-0338
32009-06-0438
42009-06-0531
52009-06-0624
62009-06-0721
72009-06-0829
82009-06-0930
92009-06-1022
\n", "
" ], "text/plain": [ " date_of_visit Visits\n", "0 2009-06-01 27\n", "1 2009-06-02 31\n", "2 2009-06-03 38\n", "3 2009-06-04 38\n", "4 2009-06-05 31\n", "5 2009-06-06 24\n", "6 2009-06-07 21\n", "7 2009-06-08 29\n", "8 2009-06-09 30\n", "9 2009-06-10 22" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "input_df = pd.read_csv(r'website-traffic.csv')\n", "input_df['date_of_visit'] = pd.to_datetime(input_df.MonthDay.str.cat(input_df.Year.astype(str), sep=' '))\n", "\n", "input_df[['date_of_visit','Visits']].head(10) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Time Series" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XXcRLXvISXvSiFzXtfiPJJUKEeYBiWSX0sTa25NmNiy66iDvuuIPh4WEAfvOb33D66adz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\nc8wK83krlWCBLYBli7ro6MiwuFv8brpYJhb3P6Ksoq3J7MM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POzr2eRvz2IzKGJusQQ8V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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "input_df.plot(x='date_of_visit',\n", " y='Visits', \n", " title= \"Website Visits per Day\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Time Series Constituents" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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wy1rvrKSQI3pXA329iLYGPiyZEMYPd80jJcKXvy9Ldbp/TLBjXT6AwgYDJS1G\nuQ0XT4nljgV9g9zk2AACfb2ICZYmUjVt3fL5Dli1xMlxgfK2OWPDef4KKRKupauXFzYcBsBXr2Vc\nlLTf2alRnD8xgpkJgdyxcCx6vZ77fyVNJIobOvlinyQ4Jsf4y8El56SGMyUhRH53xDoDubXSRC/U\nR0dcqN+A+/X19mSxNYrvXxuLuP+rbG77eB9GNPxro9SuGfGB/HbhWGYnSYN1Y6eR6g6zw7trNElv\nZ3iA1Ke8vTy5+YxkbpiTAMCm/AZe3VzK31aIfL1PmvNPiPJz6DszEgaa88ube9Dr9bi563hpYzH/\n+qmY6n5VNypajU6fZV2H1J+iAz25cJL0vq/KrsXdfeAY+klmFc+szee1zcXyz92fHaC8tXfAvmjc\nyLYGeVS3dnOwpkv+zJnyYMOVAkqLZNrrjx8wZF0eQRDCgNXA86Io/tGqOQG0ABcDfxMEwU0QhCTg\nr8C7rmr0TXMTmD1G6uDT4wPxtFZlvnFuPOenRfDI0hTUKimiZUu/iJZnVudyzVs7Bizz4MxJaV9J\nwTaoxgZ6khTqLYeIdvSY2HW40SHkGiQHsi18elxYn6y2+bBq27odZjEjjaY6WNEqRxdNjw+UkwW/\ny6rk88xyuTq4LVR5ar8Zly3huctokiOsunpMctHX1CjpfBdMjGBpeqScfNu/rE5eTbt8vzanOYBa\nrWKBIF2jf7UBi8VCvl01gEg/D567LJ0rpsXw/OXp1n2kz2xBEdCXrD0tPhA3jTQq6awmOFtgSkd3\nLxe/upU7PtpDU6cRPw83PvrNTP68eBwg+SB+zut7F36y1nmM8tejsY50y6yde31uLdsK6zGZLXyX\nVcll/9nGPf/bKwc1zE1y7i9MDPF2ELgJwV48sjSVVffM59dzExzs+HOtAmptdg3zntnAhztK+N6a\nMxXo5e6wPMZIeWDxWBbEe3DrvHiSw3xYec98rp8d73RfrUbNM5emce2sWC6bKs3c82ra5OjQUB8d\nqZG+XDMzlgirNnLGWOm+w32ld6Kly0hnTy9dPSbyrdYFKfTa8TsYY9WibQETiydEyGtAqdUqXrl6\nCp/eNlsWQBOi/JgWJ723tjD46AA9T12SxhXTYrhhTjzeOi3JVotDVnmznCw7Mdp/UJ+kbfC2mdYM\nRjPrc2rltt+9KBmNWsW4cB+8rM/KPmjGPsIzqF/giS3CuLLFwDtbDzt81v87mRjti95qzo8JlL5L\nW5TextxuttV7AAAgAElEQVRaXttUyKtW/xRgV+athuWvbefT3Y5WBFtgR6SfBxemSwFOVS0GeQyw\nx9bnI/z0TI8PkPvRjqKBwWX7y1tkgQzwXdbIgpJcKaC+Bp4RBCEYydxsEQQhBfg38O0wx94MhAAP\nCYLQbvtBCl1fCqQj5UZtQfJB/dNVjVarVfzn2incf57AExenydtDffS8cs0Ufj03gSmx0gu+wS4c\nu7rFwH9+KmRrQQP32RV5/PMX+0l/dO2ASBxnEWwLx4WiUqmI8vfoe3FyawYkG1a1GCi1hk9Pie0z\nQdmqSeT2i6QbqYDKsHaYSD89kf4eDsIB4CexjlaDkRzrzGeaNYrJRqiPnnSrScwWCZhb3YpZFjbS\nZz56N16+ajL3nis5oCWB1Pey5ljbH+qjk0OtbcjpAMWNvPhjHm0GIxaLhSve2MHFr27ra4uvjkun\nRvPMZRNZkhYhdxaAvy9L5aUrJvHK1VNk02eglztvXDeNF5anywncJdZIwh/2V8qD1PzkYL64fTbp\nMf5E+XvIuXS2qL/Shk4+3S2ZWJZP7YtYvGBipPx9/uHTfZz9wibu/mQvGSVNfLuvUs6tmTtIHpbe\nTeOwpMWY4MFNtgvGhaJRq+g1Wyhv6uLxFYfkNi1JC8dNc+TdfKEQwu+m+zkkwQ7FFdNjefyiNDlc\nOre6TRYiC8eFolar0Ltp+ODmGfzpVwK/mS8F9kb6O9byyyhplJNz053kMy0a52g+sgmKobBNSmxE\n+XuwJC2CZy6biLc1x8c28GeVNZNlnUA5u76NWWOC5OdjC5ixBYNo1Comx0rn02rUTLEKyJ129Sjt\n6/D1D91PjfQl3Brk0NNrRqNW8dzl6dx37liuneW4zJ63TsvbN0znH5dN5LpZkhnXJqDso3MBPN01\npEfbIiJr2VXcyEvrHM3iVVYhHumvRwj3QbBOiPtHufaazOy1BpL88ZyxfH77HHmy5awCRf+UjpUH\nqgdNYLbHlQLq90ArUAN4I1UxPwCUAn8Y6kBr3T5Vv1wnb1EU/yqK4iFRFM8WRdFPFMVwURQfEUXR\npXVq/D3duXNBkpxL0R/bC75BrJVDwe3DL3/Oq+PDHSW0GYx8saecVkMvj684JA/CJrOFIqtWYR/9\nZRt8oa/KxfqcWjnk2kZNqwGx2jqrjPLFw5qsaNOg8gYIqJFZQG2zomnxgQ73GW9Nim3s6OHVjYWy\nwJkaN9BmvXCc9bvJqcVisci5GoFe7oT5OgobW4Rie3evQ+WFnCqrxhU50FQ0PzmEKH8PzBb45/p8\n7vpkL0X1HQ75HlNi/R0SOD3cNXJnCfRyZ25SMBdNlsw/9iwYF8olU6LlJOASaySeLWn5zLEhfHDz\nTJLttNaLJktCaG12DfXt3by0Lo9es4UQHx1XT++z+7tr1bx4xSTctWpqWrvlQcM2cIEUUj9YAjL0\n5SMBJDjxv9mIC/Lii9tn8/Qlafh5uGEwmuUK57ZZ8C+FbaJV394tV6g4z84HlxTqwx1nJcnPyz7a\nrLihg799ly2fJ9R3YFCSvbAJ8dExy2r9GAr7fgY4FLi1YRNGGcVNctHZoTRPjVrF/26dxYc3z+Ry\nq9Zom8ilRPg6JLfOtmq42wvr5THBpkG5aVT49osQVqlUsnUC4JzxYVw2NZrfLUzGRz9wwjA3KZjL\np8XIkxjb6sI2DdbWn5dPixnwHlW1GBytL9bkZ1se4tJ0qc98llHGX77aL485udVtcqUY2/hhGx+c\n5RdmWnPHbNpsY0fPgLw2Z7hywcI2URSXA8lIWs/VwHhRFC8SRfHIC5ONImwveF1btzwAb7DOTmzy\n5ulVuWwU6+TZ3+7iJjZZS5BUNHXJTuZzU6QO5uWuYUZCn0ZieyFLGzvlpUFsPqFeswWD9fgpsf6y\nlmEzLTrToDbk1vCfnwoHXanTYrHIM51pVq1gRkIgux5YxLo/nikL69c2SeaB6fEBTpM07c0ROVVt\n5FsXHBTCfAaYRxJDvOXvyz5/yqZBpTgRUF46LV/fMYerZkjLif8k1rHOWn3DW6flh7vm8b9bZw84\n7pb5Ywj21nHPouRhNQhbBy5p6MBiscgCap4T89uySVF467T0mMz89esDfG2dWd69MGlA+KwQ7sPj\nyybgq9dyfloEK+6ex9d3zOWpS9II9HLnprkJQ7bLPtBlzCCTJxuTYwO4ckYst57Rl3IY4aeXB4Rf\nCnthDpK2MlSVA72bRn6vbn4vg8K6DjRqFU9dkuZ0/6lxAfKAfr5dWaYh2xTq7aCNRvk7EVB2ibIg\n5XtNcxJEYE90gCfzkoPlAdq+jfbYqpVUthjksHpbHb5AL3enZkR7TfH62SMLcLEJn16zhVUHq+TE\n+Neum8qOvyzi4QtSnE7CbaZys9kia1C28lXLp8cQ5e+B0WThk11lPPq9NIGwWV+Cvd3l/jPd+j2U\nNXY5lK4ymy3yZPiiyVGyZaG/y8QZLl0PymreqxJFcQVQBlwhCMJiV17jRJAc6i13on1lzRiMJvnL\nve88AY1aRUePiWdX5zoc99xaEYvFQkGd9AKoVfDI0lTOSQnjbxemotP2DWj29QFt1ZP7zw4D9Gqi\n/PWEWgWUzcRnq8xs67hF9e3c8dEenlmdy2cZ/SJ8rBTVd8izOPsOFeqrR6tRs7CfKeWP5wg4IzXS\nV9aUthTUyabM5LCBJim9m4Z4awcRrW3uNVvIq7VpUM5NKqG+eh48P0Wu+PzmZskuPznWnwlRfrIP\nwp7ZiUFkPHi2vP7XUMQFSW2qb+9hb1mzPEuckzRwdu6t03LJFEkrWZNdg8UCY8O8uWJ67IB9Qerg\n+/92Hq9cM0W+v6tmxJL54NncNG9oATXe2pFDfHQOZXiG4tdz4+XAkqXpkS7JXzkS/DzcZD8TwDWz\nYocVIjYtymb1vfOsRCbHOhcObho1jy5L5ezxodxxVuKI2qRSqRwGfGcCaly4r1x8F+DZy9Jkf/Rw\nTO8nyKb3E1hpUX5yHqWtMoN9HT5nnDk2hKtmxHDL/ARZAxuOmABP+bt+e4vUR6L8PRDCfAj306NW\nq2STnT22CW5DR4/sU7P5i0N99Kz9wxnyBNE2qZX90nEBsoCdGO0n+3Xtq74X1LXLWtr0+EDmWvvV\nSKpUuHI9qIuQhNJcazDDT8CVwOeCINzlquucCFQqlZyxv7+8me2FUqkWgMunxsjmJFvFgylWM87B\nila5WgFIzvpwPz1vXj+Ny6fFOFxDo1axOM0xHHlSjL9DpxkXLM22bBpUXVs3JrOFfGuSq22mWtPa\nLbfv/e0lToM2bFqCt07LuPCBmot9h56XFDxoJ1GpVLLf4VBlq3yvg4W520xANg2qoq1Xdp7294HZ\n46XTytexZeD394kdLXF2Zrb/7ZKcxgGebox38r0Asq0fJBONzZR3JAzmfLfn/IkR3LkgkeesQR8j\nwdNdy1s3TOe2M8dw18KkI2qTq7CZct01aq7o9547Y6zdZOamuQnctWhgSLM9F0+O5q0bpjs1AQ7G\nYmvJLR93FSFOqmG4a9WyxnTVjFjZdD0SYgM9HSps9Ne8NGqVPNn8cEcJM59cxz/WSHlvQU6sEiD5\nrp66ZCJ/PT9lRO+K7R5sC33ut/pQbX5uG/HBXjx9SRpPXZImCwrbBNfed23vG/TSaeUq91UtBmpb\nDbIAsu+DejcNE6zloGxmPovFwjOrpIl7oJc7yaHeclWfQ1WtTotk2+NKDervwCOiKK5DCnooE0Ux\nFbiKYXxQJwN9TtQWfrQ6f9NjJHObLfzYxu8WJskzGbGmbdhB28ZfFo/nhtlxsoN/anyAQw7GuGDJ\n/mwvoPJq2mRhdPb4gZ0qp6pVLslS1SKZ/iqbu3jxRylCb25SkNMZ7vSEQGIDPXHXqh1C8Z1h0wx2\nFzfJ5Wfs/Sf2jA1zFFCHmySTirdO6xBt54z+5aqGM8GMlDAfvfydf5YhJXTPTgwaVPtIDvPhbKtp\n8/7zhCELbx4LOq2G+88bx5nDFALtz6QYf/6yeLxTf8UvgS3y8qoZMQMi1Jzx0AUpPHvpRHY9sIiH\nl6YcVVDHcMwaE8SrV07k4TMCB32uzy9P5+WrJvPYsiPLd1SpVLIWFRPoMaCKA8Ac6wQvt7pNXi4F\npDp8rsTehKdRq7h4ykAf5JUzYrlqRixCmK/cJum35L7QadVOAjf85HFixYEquZ/374M27XFTXh1G\nk5lPd5fJEbh/WTwOtVrFjPhAtGoVFsvAklL9cWWi7likpFyQfFC2yL39wMBMxZOMSdZCmvm1bdRY\na3bZ/Ennpobh/rWanl4z7ho1s8cEMybYi/zadvJq2siz+mUShxFQXjotjy6bwD1nj6W5s4cxId6E\n++llh/e4IOmlsc0AK5q7ZFU7wNNt0JDl1zcVcduZKm5+bzfNnUa01ogvL3cNf12S4vQYN42ab++c\nS0dPL9EBQwsOm+ZjH/gwnAZVWNeO0WRGbJBmUOMjfIY1R81JDJLL2GjUfZrbsaJWq4gN9JRDhKVr\nDV0u6uWrplDe1DnA56IgaZhzk4JIGCLy0J5gbx3Lpw+vaR0rC8eFkJ09eG25CD8PlqZ7DPr5UFw9\nM5YNubVcO9O5v8i+b8YGSgty7ihqkAv2uorFEyLYlFfHnMRg7l6ULEcgO0MIl55PXk0bdW3dPLta\n0upmjQkaoLV5uGtIDvUmt7qNVzZKSbU+eu2Aydl5qWG88XMRRXUd/O7jPWy0rsx8bkqYnIJgs4Zk\nlDSxrbCehcmDt9GVAqoCmGz1Q6UAt1m3n4+0/MZJjU2DMluQl4+/wBoV5qt3Y6EQyursaqbE+ePh\nrkEI9yG/tp2ssma5UGRa1Mhm2oFe7vIMxmbP93TTkOAvPS7bcgJ5Ne2sshacnRoXQLC3O+5atZzb\ntHBcKBtya1l7qIa1h/pCTm219B5ZmjpkFFmAlzsBg5gg7LHlO9nw0WsHhIvbsGlQRpOFQ1VtbCmV\nhP1ZgvPsc3smx/qjd1NjMJoHREodK4kh3rKASonwlfOYBsPDXaMIp0FQq1UOS2ecDsxPDkF8fHB3\ne3KoN1dOj6GiuYt/XJZOuJ8eo8nscm1x+fQYLp4SNaLzClYTdnOnkRvf3UVDRw9e7hoev2iC0/0n\nxfiTW90m+88WTwgfYNqeGhfI9bPjeH97CWuypTEnJtCDpy5JcxB6c5KCyShpYmtBAxbL4KZoVwqo\n55AKxFqAHaIobhUE4RGkxNrrhjzyJCDYW0eUv4esJaTH+MvOdYCHlqYQ4OUmJzMKYT78QBUbxVrZ\nx3I0PpNEq6lsapy/rGLPGhOEp7uGzh6T7EuaFi8VOo3001Pc0CnnTjyxIoev9pZjsUj38PQlaWwt\nrCfMV8/l06IHve6REO6rl4u1gqQ9DWY3jwvywkcnVYD4w+cH6ey14KZWsXwEvgqdVsO8pBDW5dQM\nqi0eLb+zRuEtHBfKkhFGhykojBSVSsXTlzoWVT4epswjOW+ynZXDVu38kaWpxAxiap8Y7c//dvcF\nXQ2WwvCXxePZkl9PUX0HY0K8+Pg3swaYeucnB/Ov9fkcru/g26xqkgexRruymvl/BEHYgbR0xhrr\n5jXA16NxGfijIT3GTxZQ/f1OUf4ePHVJ3wtocxTbhFN0gIfTBeWG48a58fjqtcwb409LpZQIqHfT\nMC8p2EErsoUTR/p7UNzQycRoPwK93Hl+eTp3LEhkfU4NiydEEBPoydkpI3cAjwSVSkVqpJ8c2TiY\n/wkk09zdi5J5YmWOXAbnvNTQQTWu/jx58QTOEkJkp62rmBDlx4tXTHLpORUURjNeOi1e7ho5n+mm\nuQlDTlon2iUuB3vrBg2c8nDX8L/bZrE2u4YlaRFO01OmxQWwQAhho1jHYytF3l/m3NTpUhEuiuJe\noAi40BrV13SqCCfoM/OpVH3mvcGwCSgbR5uP4qt348a5CQ55HOCYfOiuUcvRMzaH+iV2A3hiiDe3\nnpE46MzIFdjnMA0XDHLzvARmjenTJu0TXIcj1FfPtbPiBuQcKSgoHDlXz4xFpYK7Fibx0AXjh4wY\nFMJ95GCiCyYObWUI9ZH6qTPhBNKk9plLJxLg6SYLSGe4crmNWOAjYC7QhCT8fAVB+B74tbVw7EnN\nJZOj+G5fJWeMDXEaqWNPTIAnHm4auoyO2dauYoGdzyYt2k/OzL/tzESunB6L3whL1LiK1CMQUGq1\niueXT+KW93YT4m5kcszxiYJTUFAYmgeWjOeuRcn4jiDi002j5rdnJbImu4abh8nhGwmhvnpeunIy\nD39zYNB9XKlBvY5UFHaMKIpBoigGIAVLhAGvufA6J4xQXz0r75nP/1mLhg6FWq1yyO9wVUi0fVts\nZXNm90vo/aWFEzhql+OGyGeyEeXvwVe3zeDuGYMX5FRQUDi+qFSqEQknG78/eyyr7pnvMmvMmWND\nWHP3nEE/d2WQxJnAdFEUi20bRFEUBUG4A9jswuucNAjhPmSVt+Cj1zL2OEQ1vbB8EisPVHHjCKol\nHG8Sgr147vJ0NOq+LHQFBQWFY8GVGtRhwFntkTD6FjA8rbBVdjgvNfy4lJxJCPbizgVJLg23PhYu\nmxrNxZNdG7ygoKBw+nJMI5sgCOfa/fs58I51xdudgAlpmYxHgWeO5TonKxdMjCQ92t+hNpmCgoKC\nwshQOavTNlIEQRhsQQ8LYK8yWERRPCFhV5mZmS5dmkNBQUFBwfVMnTp1gJnpmASUPYIgTABmAcFI\niwvuFEVx8PAMBQUFBQWFIThmASUIwljgHWA2YEBapj0Eyb+1A7hRFMX8wc+goKCgoKAwkGMKkhAE\nIQppWY0WYKYoil6iKEYCHsAcoAPYJAjC0FmtCgoKCgoK/ThWH9SrQKwoihcMsc/XQKUoince9YUU\nFBQUFE47jjXMfAnw9DD7PAsMKsAUFBQUFBSccawCKgwoGWafcqTACQUFBQUFhRFzrAKqDCnXaSjS\ngeJjvI6CgoKCwmnGsQqoT4EnBEHwcvahIAh+wJPAh8d4HQUFBQWF04xjDZLwBH4GfIGXkCpINAER\nwAzgT0ABsEgUxZ5jbq2CgoKCwmmDK/KgPIG/AzcDfvRVkWgA3gT+Loqi4RjbqaCgoKBwmuHKShJq\nYCwQCDQC+aIoDr4SlYKCgoKCwhC4TEApKCgoKCi4Epcu+a6goKCgoOAqFAGloKCgoDAqUQSUgoKC\ngsKoRBFQCgoKCgqjEkVAKSgoKCiMSo5pyXdXIgjCcqTl4WOQ6vv9VRTFbwRBCEBab2oh0rIej4qi\n+PaJa6mCgoKCwi/BqAgzty56uBc4RxTFbYIgnA2sAKKA14Au4BZgIrAKOF8UxR0nqr0KCgoKCsef\nUWHiE0UxDwizCictUpX0NqAHuAh4RBRFgyiKu4CPgetPXGsVFBQUFH4JRo2JTxTFdkEQEoB8JMH5\nWyARMIqiWGS/K3DJSM+bmZl54lVEBQUFBYUhmTp1qqr/tlEjoKyUIS0XPx/4Dmmxw65++3QCnr9w\nuxQUTgly63v4b1Yb+Y1GeVu4t4Yp4TqunuCNh9uoMKooKACjTECJothr/XODIAhfAtMAfb/dPIH2\nIzlvUlISOp3OBS08cXR3d1NQUHBK3IuNU+2eRvv9bBDr+NumAxjNjkaF6nYTKws66VB58MqVqWg1\n6gH3YrFY+GBnOd/tr8Lfw43p8QHcPCcWrebkEWij/fkcCafivThjVAgoQRCWAH8URfFsu83uQCGw\nRBCEWFEUS227A4eO5Pw6nQ69vr+cOzk5le7Fxql2T6PxflYfrOaezyThFB/kyRMXp5Ea6cuhqlbW\nZtfw323FbMpv4Nl1RTx6Yap8nE6nowcNj35/iC/3lMvbtxQ2crihi+eXT0KjHmCZGdWMxudztJxK\n9+KMoxZQgiCcO9J9RVFcO8wue4BpgiBcB3wE/ApYAswEYoGnBEG4BUgFrrZ+pqCgMAwWi4V/rS/g\nxXV5ACQEe/G/W2cR5isNanMSg5mTGAzAf7cV8/72ErqNZi5KD2N7SRdfFufy/f4a2rol48aicaFo\nNSrWZNfwzb5KtBo1T12ShttJpEkpnDwciwa1ut//tnWgOoBepLWhTEgLGIYOdSJRFKsFQVgKvAi8\nAuQBF4mimGsVTK8B5UimvftFUdx5DO1WUDhteOHHPF7eIJlP0qP9eOP6abJwsufB88fT3NnDN/sq\n+TSjjE8zyqyftACg06q5c0ESv1uQhEoFD35zkI92lvJFZjl1bd08vzydYO+T29SkMPo4agEliqI8\nZRIE4UbgVuBmURRzrNvGAG8DP4zwfJuRfE79tzcCy4+2nQoKpyvf7quQhdP5EyN4/vJ09G4ap/tq\nNWpeWD6JUF89b20uwmwBvUZFapQvc5NDuX52nIMAemzZBLx0Wt74uYhNeXXMfmo9U2IDMJrMdHSb\n6DWbOTsljNvOSCTQy/0XuV+FUw9X+aCeBs6zCScAURSLBEG4B9gAPO+i6ygoKDhhW0E9mwvqyatu\nw8NdQ317NzuKGgGYFhfAC8vT0WmdCycbarWKB5aM546zEunu7qasUGTChAlOfRy2fWMDPXlqZQ4d\nPSZ2Hm502KdwUxEf7SjltWunMi852OGzpo4ees0WQnwUrUthcFwloLRAgJPt0UhmPgUFheNATauB\nh789yJrsGqefC2E+vHbd1GGFkz3+nu4Y1GbKVcMHP1w7K46LJ0fxfVYl+bXteLlr8NJpaezo4aOd\npbR393LL+xm8d9MMZiQE0msy8/aWw7y4Lg+zGX5/TjK3zh9zUkUDKvxyuEpA/Rd4XxCEvwFZSL6o\nmcDDSD4lBQUFF1PV0sWlr26jssUASMJoUow/RpMZo9nC0okRLBofdtyj7Lx0Wq6cETtg+3Wz41j+\n2nYqWwxc+9ZOLp0azc7DDRTVdcj7PLtaZE9JM29ePxXVCASiwumFqwTUnwED8BQQYt1WBTwviuKz\nLrqGgoKClZZOIze8s4vKFgN6NzV/XzaBy6dGj6pBPjrAk49vmcU1b+2kormLT3aVyp9dOT0GgP/t\nLmNdTg0f7yrlmplxJ6qpCqMUlwgoURRNwIPAg4IgBAMWURQbXHFuBQUFR2paDdzwzi7yatrRqFW8\nes0UFo4LO9HNckp8sBdr/3AGr20q5MMdJUyNC+CeRWNJi/bDYrHQajCy8kA1T6zIYV5SMHFBXie6\nyQqjCJcl6gqCkApMB9wAlSAI8meiKL7hqusoKJyuWCwWNoq1PPRNNhXNXahV8OylE0etcLLhpdNy\n77kC954rOGxXqVQ8tmwCO4saaejo4ao3dvD+zTNJCvV22bW7e018tKOU/eXNeLqpiNQaSElRynOe\nLLhEQAmC8H/Ak0AjUhVyeyyAIqAUFI6AbYX17ChqpLXLSLC3Oz56N77PqiSjpAmQ8pJevmoy56aG\nn+CWHhtB3jr+ddVkbn5vN5UtBpa/vp3//no6E6P9Bz2msrmLmlYDaVF+QwZXZBQ38sfPsiht7HTY\nvrMui6cvSyfK38Nl96FwfHCVBvUH4P8Uf5OCwrFhNJl5elUub285POg+M+IDeeTCFFIj/X7Blh0/\n5iYF89FvZvLrd3fTaNWk3rx+GnOS+kLTLRYLa7JreHlDPtmVrQCE++q5YnoMV86IIcLPUdjsLGrg\nxnd302U0oVbBwnGh1LUZyCpvZXNBA4tf+plnL0vnVxPC5fNvyqsjq6yFS6dGER2g1KMeDbhKQHkC\nn7voXAoKpyzlTZ3sLW2mptVAcpgPM+ID8XCXQsCrWwz87uM9spaUEOxFdIAHNa0Galq7mZMYxPJp\nMZwlhIyqYAhXMDUukM9un831b++itq2bG97dxRMXpXH5tGj2lDbzz/X5/JxX53BMdauBf67P5+UN\n+YwJ8SY+yItZYwKpa+vm/e0ldBlNRPjpefuG6aRE+tLV1cUbqzN5J6uDFkMvt3+YyYyEQCZE+rG1\noB6xRjL+vLKxgN/MT+C+cwXUJ1mdwVMNVwmor4BrgcdcdD4FhVOO1Qer+N3He+m1qyburlEzLT4A\nPw83dhQ10NQpLYPxm3kJ/HnxuNOqxt24cF++/O0cbnhnF0X1Hfzpy/38+av92C/6PScxiN+elUiY\nr57PdpfxxZ5ymjuNFNS2U1DbzrqcvnywcF89n9wyi/hgKfBCpVIxL9aDpbMn8OdvDrG7uIldhxvZ\nZZdg7OGmocto4tWfCtG7abh7UbLL7q/NYKTV0Eu4r/6kK7B7onCVgGpBiuC7HKmOXo/9h6IoXu2i\n6ygonJRszK3lrk8k4aR3UxPio6OssYsek5lthX0Br946Lc9eNpElaREnsLUnjphAT76+Yy53fJzJ\n1oIGWTiNC/fhroXJLEkLl7XHBy9I4b7zBDbn11NY105OVStbCxrQqOGKaTHcMCeeICf1ASP99Xx2\n22w2irW8t62Ezp5eUiP9uGBiBOMifPnLVwf4PquSF9flkRblx4JxzkuJljd1siW/npYuI3FBXiwa\nH+p0QrGntIl/byhgc34dRpMFN42KOYnB3H5mIrPGBJ5y2rArcZWA8kFail1BYVRgNlvIr20nIdgL\nd+2J1UKyK1u446M9GE0WxoR48emtswnx0VHf3s3Wgnq2FTTQYzKTFOrNhemRxASe3v4PP083Prhp\nJlnlzTR3GfHVa5kSG+B0INe7aTgnJYxzOLJIRpVKxcJxYU4jIP9x2USK6trJrmzltg8yeeyiVK6Y\n7piIvOpAFfd+nkVnT1+hnDBfHVfPiOOqmTGE+kjlob7ILOcvX+3HaOpTA40myd+1Ka+OxRPCefLi\nNAKUeoVOcVUe1K9dcR4Fhf70msw8szqXdTm1VLcYmBYfwANLxjM+wtfp/mazhf/tLuPNzUUcru8g\nNtCTB5aMl53hvzS1bQZueS+DLqOJcF89H/1mplx/Lthbx7JJUSybFHVC2jaaUatVTI51Vj3t+KN3\n0/DatVO55q2dlDZ28ucvD5Bd2cpDF6SgUal44cc8/r1RKsLrrdMS5qujsK6DmtZuXlyXx8sb8jlL\nCMmR/W8AACAASURBVKG50yj7E+OCPLlnUTLjwn0Ra1p5Z0sxBypaWHWwmj2lTbx+3TQmxQyMXLRY\nLJQ3dRHioxu00O+pjKvzoO4BxgLXABcDoiiKP7rqGgqnFxaLhUe/P8QHO0rkbZvz6zn/X5v5zfwx\n/PGcsQ6dtrOnl3s/y2LVwWp5W2ljJ7d/mMkzl6YNmAXb09DezY+Hamjv7iXER8f5aRHHXB/uUGUr\nt36QIVd7ePP6aQOizRRGJzGBnnz3u7nc9cleNufX8/72EnYUNeDhpiGrXFqCZEqsP69dO5VQXz2H\n6zv4YHsJn2eW0WboZV1OrXyu2WOCePWaKbKWlBLpy0WTovhwZylPrDhETWs3V7y+nQcvSOHSKVF4\numtp7uzhwx0lfJ5ZTklDJz56LUvTI7n3nLFOzZanKq7Kg1oEfA98DcwCdEAk8KIgCNeKovipK66j\nMLrpNZnJKm/mYEUrk2L8SXcyI7SnprWbhk4TFovzxMm3Nh+WhdMlk6OYGh/AGz8XUdLQyRs/F/GT\nWMsLyycxIcqP8qZObnk/k5wqKQT5V6nhXDY1mld+KmBvaTNPrMhh4biwAdWzLRYLX+2p4LEVh2i2\nBiiAtHjfC8snkRA8eGWD8qZOvt1XSXlTJ3o3DZG+7ui6elBXtbEur5i3Nh+mu9eMu1bNS1dMJi36\n1AgLP13w93Tn3Run8+wakTd+LiKvpl3+7MrpMTy6LFUuwpsQ7MXDS1O477yxrD5YzQ/7q9CqVVw9\nM5YzkkMGRAOqVCqumxXH9PgAbv5vBhXNXTz0zUGeXJFDpL+eqhaDg/mwzdDLxztL2VpQz7s3TifS\nx3HoNpstrMmuRu+uYfaYoFNG21INNjgcCYIg7ATeF0XxFUEQ2oB063IbvwduEUUxdZhTHDcyMzMt\nqampJ/2yyAaDgezsbEbrvTR29HDF69vJr+3rxOemhPHIhakDEiILatt54UeRlQckTSfYy515ycEs\nGh/GmUIIHm4aXvupkOd/lFaBPXt8KK9fNw2NWkV3r4kXfszjjZ+LsFhAq1YxNymYAxUtNHb0oFbB\nA0vGc/O8BFQqFbWtBhY9v4m27l6WTYrkn1dOdmjL21sO89gPhwApgivCXy8XM/Vw0/DAknFcMzNO\nHmAMRhNrsqv5PKOcrYX1DNd9wn31vH7d1GGF9WhjtL9vR8Ox3NOmvDo259XRZuhlbnIwSydGuCy4\nob69m4e/Pcja7BqHCE9Pdw2XT41mcVoEmSVN/HNdPj0mMwGebvz3hin01peQmpqK1s2dP395gC/3\nlAPg5a7h8YsncPHkaJe073hjey5Tp04d8IW6SkB1AGlWoWQvoMYA2aIonjC7hisFVFePib//kI3J\nbGFybAAXT476xWYqo33AuPOjPaw4UAWAj04rLxHuo9fy8AUpLJsUhbtWzeqDVfzh0yy6jM5XYdGq\nVajVKnp6zQDMTQrijeum4aVznDHuLm7kj5/to6yxS97mo9Pyr6sns0BwjLp6f3sxD3+bDcBLV0zi\nosmSz2drQT3Xv7MLk9nCnMQgnrs8nUh/Dzbm1vKnL/dT19YNSM7v6fGB9JosbC2sp83QK587wNON\nafGBGIwmxOo2aq3H6LRqbpqXwO1nJuLn4XZU3+mJZLS/b0fDaL+n+vZuNufX0dDeg06rZml6JP6e\nfcETuw43csv7GbR0GQn2cudPs32YkTaOR1fmsVF0zBFz06j45JZZTIsP/KVv44gZSkC5ygdVAUwE\nivptXwiUDtx9IIIgzENa2HAcUA88K4ri64IgBADvWM/VAjwqiuLbLmr3EZFR0sgnu6SlsD/LKOfr\nPRW8d9MMOdHydOX7rEpZOD16YSrXzorjqz3lPLEyh+ZOI/d/sZ8nV+YQ4OlOUb2knYT56rh7wRjU\nbTW0uAXxc4GUj9JrtoB1FrkkLZwXlk9yOgmYHh/I6nvO4P3tJVS3dOHhruWK6TFOTXLXzIxj5YEq\ndhQ18n9f7SfI252mTiMPfHUAk9mCEObDm9f3CcEF40JZ+/szePDbg6zYX0VNazc/7K+Sz6dWwVlC\nKJdPjWbR+DA5StBgMPD/7J13eBzV1bjfXZVd9d6bZcse23I3xqb3BEgBEkIaLR+QRippX/KlfL8E\nyEcghSTUBAhJqCEQQjMBF8AN23KX7bFkdau31a60fef3x+zMVmlXZdeymfd5eNCOZ3fOnXvvOeee\ne+69O/cdZM68BRRkpX/g24XG5MhPN0w46jmzOpe/3XImn//T+/SPOvj+2wPoN2xVugu3nFvNLedW\n8/k/v09z/yhf/vseXv36uRRnzT5jHC0zNYL6AnCP979fAN8F5gC3A98URfHPEb6fAxwHvgY8C6wA\n3kY+6v3LgBW4DdkIvgF8RBTFHdHINpMjKKfbw5PbWni3oV9d1X6RUMCjN54R8wWVs9X7szrcnH/v\nJvrMds6tyedvt5yphj66TTZ+/K+DARPGAMsrsvnTjavJTCKgTCark22N/bgliaVlWTO6s3W/xc5H\nf7+F7hFbwPX89GT++ZWzx32W2G3m7SM9NPSYSU7UM68gnatXllGUGVoHs7WOpsLpVBaF06VMda2D\nfPXve+jxjtZzUpP44RWL+NQZ8nErjb1mrn5gGxa7i+UV2Tz3xXWzek4q5iMoURSfEAShB/lcqFHg\nLuAI8HlRFP8VxU9UAa+JoqispdojCMIm4GzgamCBKIo2YKcgCE8DNwJRGaiZJClBz63nzeXW8+by\nyDvH+eUbR9kk9vHn95r5yoXz4i3OrOBvO1roM9tJ1Ou4+5qlAXH54iwjf75pDR1DY7xZ34MkSVTk\npnKhUIAhMQGbLdBYZKUkcUWMFqjmpxt49MbVfP2ZvbQOyJuHrpuby/2fWRnW2CgIxRkIxRkxkUlD\nYyqsrspl47fP4eUt+0jKLuHS2tKAdVQ1hRn89tMruO2vu9nfPsyPXjrIfdcuPyW3bZqpLL5vAc+L\nonjBVL4viuI+4Aa/38sBzgMOAE5RFP1DhyLwiWmIOyN86YJ5NPeP8uyudn739jGuXFr8gTvLxmJ3\n8fA7ctVct6aCyrzwC0zLc1K55dzqeIoWlmXl2Wz+7oV0DFkxWZ0sKsnUtpzROCVJ0OsQ8pKprS3G\naAxd5HvZ4iK+fekCfvv2MV7cc4LkBD13X7MUvV6HJEnYXR7cHilkbne2MVPS/S9ymvm0EQQhy/tb\ndcAm5LVV/owhb04bNXa7fSZEC+GOi6vZcKSHPouD7zy3j0evX0FqjOYdlDLEqixT4bf/aWBw1EFS\ngo7bzq4IGRFF4mSVqSBVT0GqAafDjjPy7VEzG+toqpxOZVE4ncoUTVluO7uc9gELL+zt5Nld7bx1\nuJuSLCMtA2NY7HKS0hlV2fzkigUnNUowURlmag7qaaAb+IUoikPT+J1q4FXk+ahPA4uALaIopvrd\n8zXgalEUL43mN+vq6mJ6Otn2Dhv3bR8GYF5OIj84O4e81Nkb740WtyQxaPVgc0mkJ+nIMurR+4Xv\ndnfa+OVWudwfX5DKTcvD7+ygoaFx8vBIEo/tNbP++Ni49+h1cPuaLC6sOrmLyGOZxVcDfAb4piAI\nI8hJDSqiKJZG+gFBEFYB64G/A98VRdEjCEIDkCwIQqUoiko2oAAcnpRwNTUYDLFZfV1bC4mZbdzz\nZgPHh1x8480BblhXwW3nVJE5g+nFdrudxsbGmJZF4amd7dz3ViNWp0e9lmVM5IyqbNZW5zDmcPPn\n3XKSyLKyTO68bvWU9ruLZ5niwelUntOpLAqnU5kmU5bfLYHDXWb2tZvos9iZk5dKcaaRwVEHv9lw\nnPYhKw/vHmH1ormsq45/WrpSlnBM2UAJgvBT4D5RFMeAB6b6O97fKkI2Tr8WRfEe5booimZBEF4G\nfikIwm1ALfA54MrJ/L7BYIhp1s6XL1rAnIIMfvDPg5isTv60pZXn6zo5pyaPEauLM+bk8Pm1VSG7\nGEyFWJdlk9jLnW8cC1mAarK52CD2s0HsV6/lpiXz4PWryUyf3uamsS5TvDmdynM6lUXhdCpTtGVZ\nVW1kVXVByPWLF5dyzUNbaeob5evPHeSlr55NTeHsSQqazgjqZ8DDwJgoik9OU45bgALgJ4Ig/MTv\n+v3I6eUPAx2ABfieKIrvT/N5M87lS0o4a14+j7xznMe3NmOyOtWdErY09vPQ5uMn/Yjufoud1gF5\nHVJxVkrIDg8dQ2N869l9SBLUlmZy77XLyUxJZHjMyd72YXY0DbDj+AA2p5tPnVHBly6Yq+0tp6Fx\nCpOVmsRfbj6Tax7cysCog5uf2MVLXz1nRpzpmWA6BmrG0p9EUbwbuHuCW66bqWfFkqyUJL5/+UJu\nOnsOj29tpm/ETlKCntcPdmG2u/jGs3v5x5fOnpE92UbtLv69v5NdLYOkJidQnGlkSVkWa6vzQhaI\nvnW4h3vWH6XRbxsikPcP+9al87lqRRmSJPGjlw5hsjrJTk3i4etXq8c+lOfAkrIsblhXpe6bp51h\no6FxelCZl8qfbjqDzz66g44hKzc89j5/uvGMWXHsy3TnoJIFQYh4kIkoio5I95xOFGUa+eEVi9TP\n3/nQAq5+YCudJhv/9eQunrp1LQuK5GG0JEmYrE46hqxkpyZRlp0SUfnvaBrgi3/dzYjfljsKZdkp\n/P6zK1ldlYPD5eGBTY3cv6Eh7O8094/yzWf3MWp3k6BHXXz886uWjNs4NcOkoXH6saoyh99+egVf\ne3oPR7vNfPyPW/jCOdWsrMzG5vQwanfh9khcIBSQH8fd1KdroFoj3wLAqZ/WNg0KM408dvMaPvXw\ndvrMdq59aBu3nTcXi93F+vpudeEoyDsbfHpNBV+6YB6ZxtAkiy6Tja8+tYcRm4ukBB3nzS9AB7QM\njNLUP8qJYSvXPbKdtdW5dAxZaRuUf3t5RTY/+LDA4tJM9HodR7vM3PX6EXUhn8JFQgEfW/bBPM1V\nQ+ODzJVLS3j85jV845m9DI05+Y13s2Z/MoyJfP/DAjecNScuMk3XQF0LDM6EIKc7i0oy+futa/mv\nv+xicNSh7tQdTL/FwQObjvOXrS2sqsphZUU2KytzWFqSSu+om588e4DBUQcZhkReuv0cagrT1e8e\n7hzha8/soalvVD1GXKeDz51ZyU8+ujhguxNlX6+bH9/JnjY5XTw7NYmfX7VEGyVpaHxAuVAo5NWv\nn8cj7x5nw5FeukdsJCXoSDMkYnO6Mdtc/OTlemoKMzhrXl7M5ZmOgZKAraIo9ka8UwOAFRXZ/OPL\nZ/F/bxzlxJCciX/e/HwuWljInLw0es02XjvYxV+2tjDqcPNeQz/vNchZc0kJOnRIKEfE/Pq65QHG\nCeSD0F79+rmsP9TNrhZ5OdpNZ1exsDj8GqVMYxIvfPlsjvWa0aGjNNtIRphRm4aGxgeHyrxU7rpm\nKXdeLeF0S+oSkj6znV//R+R4n4U5+fGZn5oVSRIfJOYVpPOnG88I+2/FWUaWlWdzyznVbBb72Ns+\nxN62YcQeM063nJyQm5rEz69eMm42YGpyIp9YVc4nVkV3FoxerxvXgGloaHxw0el0JCf61HxBhoH/\n++SyuMowHQP1JEELcjVmhsJMI9etqeC6NRUADI06eOvQCcSWdm69bCUlubNnnYKGhoZGrJiRrY5m\nM7He6khDQ0NDY/rE7ERdDQ0NDQ2NmSa2p+xpaGhoaGhMEc1AaWhoaGjMSjQDpaGhoaExK9EMlIaG\nhobGrEQzUBoaGhoasxLNQGloaGhozEo0A6WhoaGhMSvRDJSGhoaGxqxEM1AaGhoaGrMSzUBpaGho\naMxKNAOloaGhoTEr0QyUhoaGhsasZLon6o6LIAhfjPZeURQfjZUcGhoaGhqnJjEzUMAPo7xPAjQD\npaGhoaERgHbchoaGhobGrCSWI6gABEEoAxYCCd5LOsAArBZF8WfxkkNDQ0ND49QgLgZKEITbgd8h\nGycJ2Tjh/XsHoBkoDQ0NDY0A4pXF913gTuQRUy9QCSwB9gMvxUkGDQ0NDY1TiHgZqDLgr6IoOoG9\nwDpRFA8D3wZujZMMGhoaGhqnEPGagxoAsr1/i8Ay4AWgBaiI5YPr6uq0LBANDQ2NWc7q1at1wdfi\nZaBeAR4RBOFWYCPwB0EQ1gOfBNpi/fDa2lqMRmPE+37zH5Fnd7Xzt1vWIhRnxFqsSWGz2dh/8BB3\nv28lKSGBZ7+4jsSE2bfO+nDnCDc/sZPr11XxjUvmT3ivzWajvr4+6vqZKZ7Y2swDmxp58POrObM6\nd8Z+d6bKI0kS//WXXXQO23jp9rNJTY5bLpNKpLJ0DI1x3cPb+VBtMf/78dq4yxcN/9p7gl+8epj/\n++QyLltcdNLa20R85/n97GwZ4F9fPYe8dEPU34tXWYbHHFz9wFaWlmfzh8+ujMkzlLKEI14a7g7k\n+aYVoii+ArwDbEEO730nTjJE5B91HfSa7bx9pOdkixKW9hEX+ztG2N06RFP/6MkWJyxvHe6h12zn\nhbqOky3KuLy45wT9FgdvHOo62aKEpddsZ5PYh9hjZl/b8MkWJyybxT46TTae391+skUZl3/tO8HA\nqINX9neebFHC4nB5+OeeDtoHrWw9PnCyxQnLjqYBWgbGeGV/J1aHO+7Pj4trJoqiBbjN7/NNgiB8\nGxgRRdEVzW8IgvBd4G7A4Xf5ClEU35sJGT0eiX6LHYA+s30mfnLGGbJ61L97R+wsKJpdozyAXrNN\n/b8kSeh0IaP2k45PxtlZz70jPrlmrYxeucYcbix2F+mG+I/yIqG8R6W+ZxuKvgHoHZmdMvq3v16z\njaq8tLg+P57roGqBNUASvjRzBEGIdqujlcCPRFG8LxbyDVudON3ydFXPLG0swzafBzNbZVSMu83p\nYcTmIisl6SRLFIjsiMg+zmxVCn0Wn1yzvZ5BljG9IP0kShOePq8B8Df4s4k+8+x3RALr2X56GihB\nEP4befQzCJiD/jnarY5WAk/MsGgqp0JjGbL5jaBmqYz+cvWZbbPOQA2OOXB7ZEdk1r7DU2AE1ec3\nKukdsTNvlhkot0diQDFQs/QdBoxOZqkjEtgW4y9jvEZQ3wb+WxTFX03ly4IgpAIC8E1BEP4ODAH3\niqL4eDTft9sjN9COgRH1726TFZttdjUYu90eYKA6hyyzTkYI7Gjt/WbKM8c3UEq9RFM/M0VHv88/\n6h2xYbVaZywMOVPl6RzyzS92DY+dlHqOVJZuk1X9+8SgGVtZfD3rSPSa7Xj9ECx2FwMmC4nIEYh4\ntreJODHoa4tdw5PTOfHqO92mMfXvEwOx0TkTlSFeBioV+Mc0vl+EnFTxEHLm31rgFUEQukRRfCPS\nlxsbGyM+YF+rr8P1jtg4dOjQrJs/8Q/xNZ7op74+qum7uCFJUoCXtfdoE5nWyIkI0dTPTLG329cZ\nrE4Pu/YfIi1pZnOFplueY20+Z6mle3DcDKd4MF5ZuvyM6MGGNqr1s2uSv2nIGfB52956SjNkdRfP\n9jYRR5os6t8dAyNTqudYl6W9z6T+faSlk/rM4ABYbImXgXoRuB74xVS+LIpiM3CB36X3BEH4G3A1\nENFA1dTUYDBMnMK5fagVkCvD6YGKecKsCk/Z7XaGNr6vfnboDdTWzq703uExJy6PLwPSkFVAbW3V\nuPfb7XYaGxujqp+ZQnR0Ig/AZfLL5jK3YGa8/5kqj/vgAUD2XEc9iSelnicqi8cjYfqnr571aTnU\n1k68pCDe9B/rR15+KZNdXElNSWrc29uENB0FZCM14tBNqp7j1XfMb/hy0CRDRkzaolKWcMTLQJmA\nHwuC8CngGIGZeIii+LmJviwIwirgQ6Io/p/fZSNKL46AwWCIuFZg0BqYQmlyQFHO7FgroTDsF+Lr\nszhnzVoOBbMp0GsdGHNHJWM09TNTDNs9gZ8d0ow/e7rlGRjzvcd+i+Ok1nO4sgyOOnB5fOvfB62u\nWdcWTfbA9fnDdklV5PFsbxMxaPVFQMx2F5I+iZTkhAm+EUosy+L2SAz6t8Wx+OuceBmoDODpaXzf\nAvxMEIRG5NHYRcBnCBxVTYs+S2AcdLalcUuSFJQkMfvSuIMno2djem9wRtdszPDyf4+jszCNO7he\nZ2Om4akhY2h/iXeW3EQMjvoSiuDk9JV4rYP6wjS/f0wQhOuAu4AngQ7gC6Io7pkJ+SA0i2a2KddR\nhxu729dYbE4PZruLTOPsCUMGrx+bjdlTIY7ILKtnSZJC3+MsS+M+Jeo5SKbZuLaxP8x7nE0GajbU\nc9z2yhEEoUIQhPsEQXhdEIQ3BUG4XxCExdF+XxTFV0RRXCaKYpooioIoii9E+93tTYMR7wlWXD1x\n8hZuf3oPl/3mHUxjzgnv6zM7Qq7FIzW112zjgns38YMXDkR1b8DnOHmt6w91s+aut/l3FDsG9J2k\nEdRPXz7EufdspHPYOuF9IzYXdldgGDIeisFid/Hh377LbX/dTaRDTIPfWfA7jRXbjw9w5l1v87ft\nLRHvDR2dxEfG3751jHV3b0DsnjiZIJwjEo9RntPt4RMPbuW6R7bjdHsmvDe4P5usTmzO+O4mERcD\nJQjC+cBR4FzgiPe/s4A6QRDOifXzn9t9IuI9IYorDp61aczJawe6aOi1sFGceHulfktoB4uHcn33\nWD+tA2M8t7s9CiMaqhTicWLzy/tO0Ge28/cdrRHvDXFE4qC4JEni2Z3tdAxZee3AxFmN4Tz9eCiu\n3S2DiD1m3jrcQ8vAxFO7we/QbHcx5oh9RulrBzvpNdv5y7aWiPeeDOUP8NyudrpHbLy4d+KtvkxW\nJ44gAxGP/ix2m9nTNszO5kH2t0+8jVa4thjvkWi8RlD3Ag+IorhOFMXviKL4LVEUzwT+CNwT64fv\n7zBN+O9WhxuzXe5gZdkpQHwaS7dfp9kbYc+1Pu/uB2nJCWQa5chsTxyMqH/H3tcxsYyKl6q8Q2Ub\nnFijvMeDHSZckbxC772+eo79OxwcdajKaG/70IT3+jtGiozxUAo9AW0xgowjgfXsfy2WdJvkZxzv\nG43oLAW3xXiMoFxuj2q8I/Vnf3kUGePRn7tN0euc4HcI8Z/Li5eBWgb8Kcz1R5F3iIgpXSP2CV+s\nvwKoLc0E4jOC6vJb7LgvgjejjKDy05MpypQzaeKhFAJkjGREve9ReYcQH8WgdDqr043YM35oZdTu\nYtS74aUiYzyUf5efUoj2HWYYEqnMTQXi8w4DZIzkWVtOUj2P+Nri/gmcJf/wmdqf46BY+y2+pIJI\nzpJ/u1ustMV49OeRSdSzV8a5BWkYvWsF4z0PFS8D1Y58gm4wS/FfrBBDJvIW/I3RkrIs77X4eq2H\nO0cmjO8qc1AFGQYKM+V02fgof98zInv/8r3KO4TYG1G3Rwp4DxPVs79SOFn13GmyBXixwSgyFmT6\n1XMclGvPJEbzijzV+WmkedOi4+HQBbTFCWS02F1YvX1JqecRmyvm8yf+EZFIzpLyvrJSkqjIiZ8j\n0mOKfqSstMXCDCOFGYpTHN8RVLxyVx8AHhUEoRTY6b22Dvgp8Lt4CLC3fYjLlxQHXHO6Pfz05UO8\n702iMCTq1T3FekZin8bt3+FcHolDJ0ycMSfwfKKmPgv/98ZR3j3WB0BBejLG5CRVxljTE+RxhXsn\nrx7o5PWDXTT2yosOK3NTyTAkYra7Yq64Biz2gFTYfe3DXL8ucHGwJEnc9doRtjf5fKElZbLXarG7\nGLW7SIthGnd3UD3tax/i8qySgGu9IzZ++nK9KmNBuoHCDNlAxSNhx99oHukaCXu0wmaxl2d2tvF+\ns9xfZGfJSHP/aMxldLg8DIxGdpZ+v6GBLQ396melniF8otFMEux47G0bprY0K+DaiM3Jj148yM6A\nd6jUcxyMfBhnqTgrcG1TXesgj7zTxH8O9/hkzDDQNjgWlzlbf+IyghJF8X5kQ/Qz4H3vf/8N3Im8\niWzMCedxbTjSyzM729WzlYxJCRR5G4uSxj1ZxhwuOoaiWj8cELIYT8aHNh/nP4d7sHkzu/LTk6c9\nguoz2xkei66z+od+hsecIRPoHo/Ez16u5/WD3eq1Qv9R3hQVV+vAKHZXZI+3K0QphCquPW1D/HlL\nM/Wdvi2EqvN9adtTeY92l5vWgejO5AqnuIJ5fGsL6+u7MVnluZX8dIMvlDtFIz846gibXBMO//fo\n8kgc7gr1/u987Qhv1vuSeRTFNR0Z2wfHojpnSF735/usOEv+tPSP8pu3jrGzxZe1628ggpM7osHt\nkWjqs0SV7OO/PyGEr+fnd7Xz6oEutc1lpySpOmeq/dlkdUZt3ILb4r4whv5X60XVOIHcn6c7rdA5\nbMVsm3jeMBxxSzMXRfEuURQLkffVyxJFsUwUxftFUYzLkezhYsLvNfQFfJ6Tl6pWBEDX8OQ6nSRJ\n3PT4Ts771Sa2He+PeH9oYwls0JIk8W6QjAXpBoq9MnaZJk5ZDkf74BgX/3ozl//uvYgJDE53oNcK\noQagvnOEgdFAY1eQYVC9ss4pyPhCXQcX3LuZH/7zYMR7g0cn4SbQ3zkWWBfFmUb1HYK8Uedk+daz\n+7jg3s28fjDyXoMhBipM7F8ZISsUZRrVtthlsk06G3Jo1MGHfvsul/z6najCMsEKbv+JwMSizmGr\nOkJW8K/nyfYVgI1Hezj/3k186e91k5YvnLMU3Ff0Olm5KmHIYGcmGn7270Nc/Ot3osoQ7Q5S3uGU\n/ztB9VyanaLWs8nqZHSSTrHN6ebjf9zCBfdu4nifJeL9wf0luC1a7C7qWgPlLvAzUFPROXWtQ1xw\n7yY+8+iOSbfjeK6D+pggCMWiKPYBnxUEYYMgCPcIghCXTbHCxYTf84YCzqjKoTwnhc+traQky0ii\nXg5htQ1GNxJS2H58gF0tQ0iS7CkpHOsx8+i7x0MMgtKg89OTgVDl39BrUUMnF8zPozgtgUsXFqiT\n553DtohrGYJ5fGszZpuL7hEbm8Ve9fqb9d28tLcjoAHJaeIEyBhsRBWlkJ9uYFVlNufNz2dulxUc\n+wAAIABJREFUQboqY/sk36HHI/GHjQ0AvHKgkxGv1+VweXj03eMcDMrIVBRXblqyei14Al1xRJZX\nZFOZm8rN58whJTmBAq/33zpJGcVuM28ckkeMz+xsU6+3D1p56aiFoSADqSgF5R0e6BgOcJb6zHYO\nd8mju/MXFFCek8JHl5eo73DM4VbPsIqWp3e20W+xY7I6VVlBfhfP7GzD4/Ff9O1WZc7zvsf9HSMB\nv6e8w9TkBM6bn8/y8ixWVeaoMk72HQL8YWMjkiQbZyXqIEkST25rYUdT4NS0Eg43JulJ9Rqc4P7y\nrtcRWVSSydz8NG47fy46nY4KpS0OTU65dptsPLtT7sdP7/T1594RGw9sagwxmj1B9RzsLNmcbjW0\nd05NHmXZKVyzqkx9h7KMk3uPrx7soXVgDJvTw8t7fctp6loHeXJbC46gNXXKHJRP5wT2lR3HB3B5\nJHQ6uGRhIQuK0jm3Jp/KXDmTb7I6EeQokNMtUd85wgG//vv87nY2Hp14eU28zoP6CfAD4FJBEATg\nQeSsvo8C6cDtsXx+uiEBi92N2G1meMzJXa8d4aoVperL/uGVi1hdlaPeX5aTQuvAWNQhHIXHtzar\nf2840ovD5SE5Uc+P/3WInc2DvH6wm3/d7lv2pYQELhIK+UddB50mGyarkye2NrO1sZ/FJXL8PC8t\nmYc+u5wjRw4ztyCNpGS50bs9Ep3D1qhXn5ttTv6x27c+Y/2hbj66rJQBi52vPrUHt0dizOHm82ur\nAuTzl/Fotxmb080X/1ZHQbqBtkH5HV28sIBfXbtcvV9RCq0R1tQEs/For/odp1ti09FerlpRxqsH\nOrn79aMAbPvviyn1pr4qXvG8gjQyjYm0DIwhdpvJSU3mB/88wCdWlanrPW6/cB4fqvXNQ1bmptJn\ntk+60z3hV8/bjw8wPOYgOzWZ+95u5M3DFja0vs/W/74EvdfRUUZQyju0OT20DY7x7rE+XtrXybq5\n8rxjcqKeR65fre7HNuQ3Mm0bHFMNaiScbg9/3d6ifl5/qJubzp6Dw+XhS3+rY8zhpnPYync+JACB\no5OLFhbyQl0Hx3osuBdn8K3nD4JOrzpCZ83N47Gb16j3V0zREdnTNhSgHN+s7+GWc6t5t6Gfn/1b\n3tX7P98+X91uTPHcS7JSyE1Lpq51CLHbTEv/KF97Zg9XLi1huzdqceNZVXz2zEr1tytzUznabZYN\nVF70Mv5tR4u65+CRrhFaB0apykvjj5sa+ev2Vn6/oYGD//thkhP1ATIq9QxwrNdMx9AYj29p4eKF\nheoi7N9et4JC76jE7ZFIStDhdEu0DoyxsDgzWJSwSJLEkzt8DtL6+m7u8Nbp15/eS6fJxsETJu77\nlNwvLXaXOm2hyCh2m5EkiR+9dIgTw1ZyUuX57WVlWQH1XJmnOMVWVa9FQ0v/KBv8jND6+m6WV2RT\n32ni+97F/3+7eRWp43w/XiOoW4FPiaK4A3lX8/dEUfwKcDNwXTQ/IAjCSkEQdgqCMCoIwj5BENZF\n+/B53t2qG3otPLG1mcNdI/zyDVnZZRoTWV4eOJGpeDSTUVzN/aNsOOobkZjtLjXMp3hN+9qH1ZCQ\nv9d63oIC9XtHukZ4YFMju1qGeHK7HFY4b36+quzApxRgcgbg+d0dAaO4TUd7sTnddAxZ1USD/3np\nkDqfoHitKUkJqgFv7LXwXkM/7x7r4597OtjVInux5/uVAaAqV37nbYNjAd56JPyNPMjKFQiYP/rh\niwfVkZ7iERZlGqkplJVZQ6+Zv+9o5XDXCHe+dgSPBIl6HWfNC9ROVUo9T+IdDljsvOjnqbo8EhuO\nyPX+5mH5/10jdp7yG1kpI6i1c/PU0XlDr4U/bGxkf/swj7zTJP97dW7AZqHZqUlkeNe8KY5ANLx+\nsCsgaeH95gEGRx30mm2Meed7/rCxkWbv3Kt/CPK8+fne51k52u9k/eFe1td3q21b+XcF5R0Ojjom\nNcfwxNaWgM9veuu5wS/K8b1/7FdHmooRLc40Mr9Qnj9s6LXw/O52Dp0Y4VfrRXUJQYiMeUp/jn4E\nZXW4efr9toBrb9Z3B/zf7vLw4GbfLtzKO19Ykkl+usFbHgsPb27i4AkT92+QIwMLizNU4wSQoNdR\nnjP5tniw10FDr69dHOuxcLzPgs3pptNbpy/UdahRj4B69vZXk9XJnrZhntnZxrvH+nh5n7wbS3B/\nrvT2Z48EJyYREv/LtpaAucP1h7qRJImmPp/cP/73kXG/Hy8DVQAc8v79EeA1799DQES3UBAEI/AK\n8om62cDvgX8LghDVBmU1XgPV2GvhcGdg6OKcmnwSEwJfg69BR99Y/rG7HUmCokyDOvJ5s747ZN7r\nm8/u5dLfvKM2VoDFJZlqiGr9oW716HmF8+YHNhZjUoI6hzIZGZ/bJXe4CwX590YdbrY29oeEKi65\n7x0+8eBW1fMpzjIy3+vJDo462BIU69fp4Jx54ZWC3eWJenK6bWCMbcfl0M7FCwsB2Cz2yQup/ZTf\nO8f6WPfLDXz1qTqavaPckiwj84vk5tDYa1FDZgqrKnPICNq3UB3lTUL5v7yvE4fLQ1pyAmdWyyOf\n9V6FpXifAP/773ouum8zv3nrGGab7BRU5KRQnS+3xW2N/SFzd8GKVafT+UJok1Bcz3nDy2fPy8OQ\nqMcjwduHe0Iy7T7y+/f4+B+38LJ3i6gMQyIrKrIBcEsS2ztC52xCHBG/0Xu0MpqsTtVRu8Rbz7ta\nB+kz2wPeyf4OE+t+uYEvPLGTo96tg4qzjNQUjl/PcwvSVGWvUOmVcTIhvv8c7mZozEmCXqeWWXGW\n/I/huX9DA+f/ahP3rD+qjqCKM43UFMrPrO800Rg0NxT8DmFqTvHbzfLzlpVnqSG79Ye6QxIZPv3I\ndq64/72AebRz/Jy1V8JsERasc8pzUlCSd6OV0eX28IJ3JKnUc3P/KA29loCEkNYJHId4GajDwK2C\nIHwVKAZeFgQhBTmTL5oNXy8CPKIoPiSKotN7km4PcGU0D5/rVQp724ZUz0LhgokayySUwhFvR7l4\nYREfXS6nEP+nvickLdPplmjstfDQ5uPqteIsIzXe9PZXDwQ2Fp0uVHEFyBhlY7G73Ook9w3rqlhV\nKSui9Ye6AxqLTieP/va0DfPiHnmkIHc4ny/wWlBiwPLybHL85oBgaqM8RdkkJei4+5ql6HTy3OG7\nDX0hGU49I3ZeP9ithomKMn3vsKHHEjLfeIEQWs+qIzKFej67Jp9rV5UD8hyKacwZMPfk9kg094/y\nez9HxF+5Br9DgAsWFI4v4yQUlyLj1SvKfMq1vjvgmPZEvY4xh5sDHSZ1pFCcZaQ8J1UN32xrD+wr\n5X4GVqEww6DeH22Yr7HXrI7Yf3H1ElKSEpAkeOtwT4hy7bc42CT2qfPF/u+wfWgsYE4D4Pz54/fn\nnhE7Dnd0o/kj3izG5eVZ3Hy2HPLe0zZMz4gtwNBLklw3D20+js3pUWWc7x3Nv1nfHbAMAibWOZOZ\ny2sdltvb5UuKuWxxsfq84B0p7C4PR7pG1C2ictOSyUs3UOJNcAnWORmGRFZ69YNCgFMc5dRHx5BV\njdh8//KFasanbESjS1iJ1zqoO5CPycgF/iCKYoMgCA8AVyCPqCKxENnI+SN6r0ekKltWnv4TzXd+\nfBEtA2NcuTg/5BjjkgzZQ2ofGmN0zEqCPvJaqCavl1SZbeDsOXLIcGDUwfuNvrDfq19di9hj4Qcv\nHVZj2+mGBBIlF9V5Kexs8cm4vDyT82vyKM1OITM59Ijnsmy5spv7zFEdw3y8b1Q9ArssM4nz5uWy\np22YfW1DFKQlqs+88+OL+Ne+Lh7b5gtvFKQnYdC5KUhPps/iUGW8YW05kgRXrygJkcGgg6yURExW\nF8d7TCwrCY0yB5epoVs2NhU5KWQbYElJJgc7R6hr7qfbG1b41sVzWVGexYPvNrOzxTeHkZeSQLm3\nnv2XB/z0SoHmgVE+vao4RMbidLncIzYX3YNmslMj7wx/vFdWXFU5Rs6aI4+U7S4PGw77OvlfbliG\n2SHxw38dxmL3pVBnJUN1rtzJlXc4Jy+VT60qxZCopyo7KUTGUm8KcktfdMdtD/kZyvKsJM6dm8Nb\nh3vY2zbE2dWy0inPNvLYDSt5o76H321sUr9bkJ6M02Fnbl4qR3ssmLxnZ12zooRMYyKXLCwIezx3\nRbaR4/1jHO8ZwTY/J+TfgxE75XrLSkkk16hjbXUOm4/1U9fST5c3rHzD2nIuX1zEY9ta2Sj6sjDz\nUhKozJLrWZLkET3A9y6r4cSwldvOrgit5zQ5bCoBvaPuqI5JP94jG/mq3BTOKM8gSa/D6ZHYIvqW\nAjz8ueV4PBL/7zUxwBHNMeiYkyvXm1LPWcZEvn3JPIatLlaVpYWpZ7lMrf3R1fOY1Ua3RW5bFVnJ\nVGUbeGZnG4dOmGjplWVPTUrgta+tY5PYz89fF9XvFqYnY7PZmJufSpfJpsp42aICqnJTOaMqG7fT\ngTsoYluebaTLZKOpNzqdI3bK4X+9DkrSEzivJpd/7u1iT+sgGd51hx9ZUsQXzy7DNRR+o+d4Hbfx\nriAIhcjp5Urqzc+Bb4qiGE1eZRqhhxOOwbhzawEkjPYGfC5I1bPIMMSiUmgQQ+OfDq9n4nRLvFd3\nkILUiQ8Rc3okNXyQMNbHaI8v7PD2PlkBJOrA2tvCHL2O5UXJ1HV510EkQ319PWnuQK+kzOjiwgIr\nYKW+3reuQzl50uCUDWJD51BUR0XvPCE3qAQdjHQ2kWCVP7cNjnG0TQ7lGSU7jr5WLiry8PcEnXq8\nh95upr6+nuJU8I9WVBtGWV5kgKF26sOsm8w3gskKdWIrC5LG31FeKdPeRtkbzkt2U19fT3ai3HHq\nW3voHJb/dpkHyLCOcVEp7Gzx/cbYQCd2d2BzNiboWJI6zPI0Ha2NIsGM2XzG4526empyIxuoRm/d\nJtuH6Gm1YUzUYXNJaj0DMNJNabKetaXJbPCGYTKSdRw/dhSDPTCcUZbqYV22/FLD1WOCTW72zX3m\nqOpZHPA5Yfb+diSz3JaHxpzsaZDDLekJbizdzZydI/EXo149CNPgsVJfX09+cmCXrDKMcV5FCox2\nUl8fqkiyk+T3eKDpBPU5kVOdd4necF2qjvr6etIluYxix4BqFBkbxmhxcVmZh41+Vecw9TLYYVLf\nu8KytBHWZevpbm3Al7Mo4/RI6AEP0DPqjuqY9CNe5ZrqNtMgHiEvRU/3qJsN+31zpPaBE5RnJnJO\nWSIvHvUZqL72RhKCwrcVGXqWppogFQ4fDva1QbLI/fHEkJUDhw6REGGDgG6LC6X47uEulJbskWDT\nAVnGLAMMdhxnWapERWYi7SNyvabqnNTX15OjDxohJ9u4ojQBnD3U14dm12Xo5DLWt/ZQXx85q3TH\nMVmnFaYm0CAeweiS28bx7mGyDPKoO8FhHtc4QfxGUAAlwEJBEBRtrwMMgiCsFkXxZxG+OwakBF1L\nRTkvOQLrlgmkvDWI1TsEX1aRO+HRxVV2F7z1DgAp+RXUVk/sFTb1jeKR5Ao9f+Ui5uSlkv+fIfpH\nHbSMysUtzDSydIm829P1Ug91L8hTcilGI7W1tQwbB3h83z71N89ZXEVtban6OfiI5yZ3N8/W19Nn\nlVi8eHHEHS/kI+2HqcxNZdnSJZBjgh27sbsluu1yM6gpK6C2Vs4C+lBjPa94F98umVtGbW0Fy1pF\nDvb6sgAvX7skIL07GOHwQY4P9WJPDH9UdHCZhnfsBqwsm1NEbe18aruP815bC4POREbscmdaubCa\n2nl5zBc83LNtk/pb65YvpCw7hdKNW9Uw7sKSTJYtCbfDlowkSaSs34zV6SEpp4Ta2qIJ3+HwmJMR\nh/xOzlk6nyVV2VS++z7Hei1qPSfpYcWi+RiNRm5KG2JDsxzBNjskamtrScgz89v3d6q/uXZBGbW1\nc8Z9psk4yCN1exmyeZg7f2HEE1eP7esCBskyJrJu5RIqhm3wzjYAVcY5RTlqfVzd2cBftsuj5QUV\nRdTWzmNVfzNb2n0G99LVCwNCvMEsbhOp6+rAQkpUR4JbDh0ARllUnk9t7WKWW9p5teEYQ049Fofc\nR5fWVFJbW8JiSeKX295lxDuPt6Z2PkvKMqnZtpNDnbKhq8xJYc2KpRM+s2SDiRPDNnosLmpqaic8\nJt3tkeh5UW5baxdVU7u4kLl1e+luGlTfIcA5K2tJNyZyS+EoLx7doV5fvnQJpWY7//vOFvXa6nlF\n1NYuGPeZifkW2PY+LgnyyucFbNAaju7DXUA/OuDiNUvlMOKbmwFfPZfn+frddcMt/PpteVqhwlv/\na6wneLXhqPqbF66YP6GuWzbQzMaWJkzupKjq+R/NRwEzC0qyqa2tpVXq4amDh+i3ekhISgYcLJpT\nRk1N0ck98l0QhNuRd5JIQB5pK9pUAnYg7zAxEUeArwX/LFGe0ptiNDKvMJ1DJ2Tvd0l5zoRHFxuN\n8jqBfouD7iiOVj9hlj3/RL2OecXZJCXoqcxLpX/Ugdgj29CiLKP6O1csL+fbXgNlc3swGo3Ulgdm\nmC2vygv7XOWI55piOYw46nAz5taTlz5xrkn7sOz9zCvMkL9f4pt+VGQszUlTn3ntmkrVQOWkp2A0\nGllYmo18VqQ8L1WaN3E6bHVhBtT30mGyTfgOlTIpk6ULSrIwGo3MLZR//5hfplJFfiZGoxEjcnKJ\nMm9VkZ9FcqKe+UUZqoGqLcuKWHeVuWmIPWa6zJHrubPXN/pZWJaD0WigKj+NY70W9R3mpCTI8hmN\nnLsgcGsto9HIwrIk9DrUcOvSytwJnzu/xDcX0DvmQciceEmBUs/VBemkpKQwJ9lAol6HyyOpMpbk\npKrP/NSaStVAJSclYjQaWVTqe2Zygp6FZbkhiUT+KPXUPmyN6khwpZ7nF2cG1HOXyaa+l/K8DPW3\nLhQK1bO+Kgvk7ywozlQN1OLSyPU8Jz+NE8M2ukfdEY9JbxsYUxOVhFJZV1Tlp7GtaVB9h6nJCeRl\npaHT6aitCPwto9FIucFApjFRNaxLKyLVs08V91jczCuOoHNG5JFxWbaRzHQ5kFSQYaDPbPfVc3aq\nX3+uUg2UBz1Go5HF5YHGaEVVPsYJDkCdWyTrnPYhKwaDIaJT3DbkXQJSJNflPO/3rU6PGnEqy0uf\n0FmIV5LEd5G3NTIAvUAl8uax+4GXovj+RuTR1tcFQUgSBOG/kHekeDNaAZRJS/DtHjwRyiT/K/u7\nuP/thgm3BlLnn/JSSfJ2ZOX7ygRpUYavwRmTEvjOZbI39T9Xymc2FmUa1Lhsol43occKBCzu+/2G\nBp56f+KV7k39soxzvRmNOalJ6gp7VUa/1Ndza/JZWZlNdmqSmvU330+maN6hImN95wgPbm5U0+3D\nYRpzqhlcyjZE5d7Fgf6TzIV+a4F+/9kVZBoTuXhhoTpRP2kZvUkIbx/p4XdvH5twy5hmb2pspjFR\nHTkqG30qMuYafV1Kr9fxy0/Inv1d18gjOWNSQkDd1ZZMLKP/wvE/v9fEn99rmjBtX0kdV+o5MUGv\nrhkLV8+LSzK5ZGEhxiQ9166Wkz6UbEiABUVpExonwG9RtpWHNh9nk9g77r1uj6TuAKEkLyl9xb9Y\n/mnYP7pyEYUZBpZXZFPgdcQm258VGff3OPjj5qYJ1zgqfUWn8yWplAfVc1GmMUBBP3z9KvQ6uMPb\nr3U6nZr5CqiZveORmpyopqY/9X4bD2xqnHCrr+Z++R36J61U5ATXs6+vlGSlcN0Z5STodXzxvLkA\nalIRyEdqZEWYg/VfOP7btxsinm2mpJLP9T7HP3HKpxcndqzjFeIrA/4qiqJTEIS9wDpRFF8QBOHb\nwCPAfRN9WRRFuyAIVwAPI+/d1wh8XBTFqPOD/RV+pMYC8vqOvW3DbGnsZ0tjPy6PR13YGIyqFAIa\nS+D0mH9jAfjaxTXcdv5cjEmykdDpdNQUpbO3bZh5Benq9fHwD60p66WWlGaxvCI77P3BMior7I/6\nnfzpL2OCXsfzXzoLvU6nJon4K/9FJb7ONx7K2gmHy8Ov1osUZBjY+aNLwnpeilIAn3INfofJifqA\nFN+awgx2/fhSkv0UqL9yXRRFPSudbm/bMHvbhukZsatGZTwZ5xakq2WoyA0MxeSkBNbbZ8+s5JqV\nZQH1WVOYQcvAGHlpyREX3yYm6CnMMNBpsqmLP+cWpHHxwvDhSFUp+LfF3JSALED/etbpdDxyw2r1\nWSCnjiujroVFketZUeIA96w/ijFJz76ffihsG1YWegJUe+u5PCc0nOUvY3GWkfd+cBHJCXr1vQe2\nxWjqWX5Wx4iLP25uRuwd4083nhH2XuUdlmWnqGXwV64Q6CgBXL6khMM/vzygzPML06lrHSIpIbLD\nKT8jhX6LndcOdvHawS4K0g1ct6Yi7L2KkZ+Tl+L3/VT2+C1+9ndEAH75iWXcdc1S1YnOSUsmP91A\nv8UeVX+uCnKK9TpYU32JutO5P6N2l7r+T2mLilM86rf3YrCMwcRrBDWAvH4J5Oy7Zd6/W4DwNRCE\nKIoHRFE8WxTFDFEUV3oX/UbN8nL58YUZhrAdIpjKoN0Zgven8kfZbLY6SCn4UxhUETqdLqQDKzKu\nqoqcCaXT6UIM7XgymqxONVPHX8bg9SLBjSUpQR+QwZiXblBj46ujkNFfcYG8pU/HOGtRFAOaYUxU\nt9spyTIGPL8oMzSsYEhMCLi2tEx+h2nJCSwsnpxyBdjVMv4oLxpHJDcltEuF1rMc6lhVlRPVbvnz\ngpTbePXs8UjqujD/zXBDnKUghZKYoA8YJSUl6FnkfXcrKwIXsYcjuB3ZnB411T0Ypa/odDDH28fk\n0YPP4UpNTiA9aHf54HquLcskQa8jUa8LWWgfjuB63n58YNx94ZrD9ecgnRFOsQbX8zJvf15alhXV\nzgvVk9A5PgPlK1dwPQfrnAS9TjVOCv5tMRLZqUlqlAfkEe/+9vCHwbb4jVCrg5ziQBlnxwjqFeAR\nQRBuRQ7X/UEQhPXAJ4G2Cb85Q5xTk8f9n1nB/MKMqJTCx5aV8PrBLtoHx7C7PBzsMOHxSAE7OigE\nD2Uh3Agqcmz+W5fOZ1FJhrqmIRI3nV3FI+80qZ3+wDiHuCkdDnxeK4Qa0WDFFY7Hbj6Do11mLhJC\n1+wEU5Jl5GPLS2nut6jzf/s7hkMaKQR6/kr9yOEpI+3eOYto5FtcmskjN6wmP91AanLk5n3Z4iKe\nfr+N7hEbw2NOmvosjDlcYb+ryBjoiAQZKGNkRfRf51ZTlGkMu2AzHJ9fW0nHkFWtx+C1PwqdJt/o\nZG7B+DIGK65w3PfJWl7ZcZiPL4/cFo1JCdx0VhU7W4ZUw3Sgw8TKylCl1+wNh5dmpQQo9PKcVNWJ\nCg6fhaMkK4Unbl5Dgl4XVXnOnZ/PktIMuoZGGbB6sNhdnBi2hhhX8PWXef79OXfiiEg4Prm6jKQE\nHWuro9tf6dozytnXPqz25/EOZRxzuOjyrsXyN2qh/TmyjHdes4QPH+vnY8tLI96r0+m45bxqXjvQ\nRYN3TeWBjmEuWxw6mlf6Sorf+imQ61mJ2mQYE0lNTsRmGz+RO14jqDuQ55tWiKL4CvAOsAW4BfhO\nPATQ6XRctaIsqng1wPyiDN6+4wL+/bVzAXltTXOYuPWIzakeaTCR4oqmQWenJvPpNZUTZsb58+k1\nlWz87oV878Ny6HE8xdXsDU1lGBLVGD4EGlFDop7MlMgKfWFxJlevLIvKyOt0Ov7w2ZW8+vXz1B0K\nxpcx1MgHyxiNkQf4cG1xVCM8kBXd+m+dz9t3XADIXqFiTP3xeCTVK/SXMXg0HhziC0eaIZHr1lSE\nnMMzHpcvKWHTdy/k/7yhx/1hjpoAAraPmZPnP1IO9v4jt8WqvFQumpMS4nGPx/+7aglvfPM8Ll1U\nqMoYjqagOTIF//4SHD4bj/MXFHBOTegi9nBkGpN44Ytn8sAVBSR5nczx2qIyp+zfn/PSkknxM6jR\ntEVDYgKfOqNCneeMxNnz8tn43QvV0GNDryXsUSQt/b5w7UQjqGhkLMlK4bo1FRGzQxW+dekC3rrj\nAj59hhz42h+hP8/JTwvaps3XFqORL17nQVlEUbxNFMW/ej/fBOQD+aIovh4PGaZKTWG6untyuBHK\ntkbfIkL/0E9weCpcnHamWOYdpjf1j6qLCBUkSWJLg7x9UHVBWoBhCVAKYcJnM4kSSginuMw2l+ot\nBu9U4N/pIoUDpkO+X/gyXD3XtQ2pOwX4y5hm8IUkAXKiGEFNFSVkNGJzhRw1AbDV2xZLs4wBCse/\nnlOSQsNnsZAxnPdvc7rZ7d27MbSefYormhHRVElK0CEUp48r4/E+i5oF6i+jHJ7yyRjtxr1TQekr\nbo9EfWeoAVDqOTkBiv36xGTDZ9NhmTf0e6Aj1FlyuT3qbvRzJ+rPUbzDeB63USsIwqOCIGwWBKEM\n+BzyFkazmgS9jiWlinI18e6xPsRuMx6PxPO72vnGM/LapZrC9IBGm5igV7cSgei81qmyrMyXGLGz\neZD1h7oYsNgx25z84J8H+OceeXI9eLPUAG8mhgYUfIrr0AkTTX0WNonybu8nzC4+/3idOjd19kQy\nxlBxyTJ667nDxPtNAxzsMCFJEm8c7OKmx+W1S4UZBuYVBna6cj/FkBvFCGqqLChKx5gkd9ldLYO8\nWd9Nt8mG1eHm7teP8Mi78tqls4L2RQwchcbWEfF3lhp6zLx9uMe7IfEY1//5fXVZQGg9+8kYQ+UP\nsNQbRTnQbmJv2xB1rYNIksR7DX1c+5C8ZizdkKiWRZVxCqP5qVDod17Z3rZh3j7cQ9vAGA6Xhz9u\nbOCu1+XNBWoLkgNGJ/5OcYYhMaoQ91RR5suHx5zs7zCx/lA3Fu8J2rf9dbe6p2aozpncO4zXOqhL\nkOehXkI+6t0AlAK/FQThelEUn4uHHFNlWXkWO1sGefr9NnU/K2XNAcie1uM3rQnp+BXw6YVwAAAg\nAElEQVQ5qXQMWUOyz2aarNQk5uSl0jIwxu1P7cHhlrfDNybq1XUYH1teqqbA+sunEGvlv7zCt27r\n8t+9h8PtITc1ieExJx5kR+Cuq5eEHHkf2KBjq7iWlWfzxqFu3jzUrW6gWZhhUPcBLMo08OR/nYkh\nMdAIVeSkqCPDnDBJEjNFYoKe2tIs6lqH+PFLh3C4PSTqdWSmJKlb/py/oICfXxW4iDI/XQ5PWZ3u\nmI5OwOeISBJ85PdbcLg9ZKcmMWp3qWuLfnD5Qj5cGzi3Fc+2uKQsE3afYHfrINc8KBsk//6clZLE\nYzedQXbq+PtLxsNZ6j5s4943RRxuDzqdHGb03wrtG6tCk11Ksox0DFljOnoCEIozMCTqsbs8XPfw\ndhxuD+mGRNweCatTDkt+8fy5fM7v2BMIdDijkTFeI6i7ge+Jovh5wAkgiuKPgO8BP42TDFNmmXf+\nxBF0yBzIu26/8OWzwsaZlcqItdcKPsWgyOhweRixuUhO1PONS+Zz/6dXhCjWNINvPU+sG/Tc/HQ1\ntKTIOOg1TsWZBv584xl8JqgxQ2CGWKxHeUpoxb+eFeO0tjqXF796TtizehTFlZKkJzUx1vUcKKPL\nIzE46iBRr+ML58zhsZvOIC0ohKfT6dR5qFgr1ty0ZLXdKzIOjzlxuiXy0pK5/zMr+MqF80KduUkq\nrumgjKD8Tw1Q+vPSsiz++ZWzQhwlCJzLi3aebKosD9I5kiTv66fTwbWry/nLjavINISqb8XQx7qe\nkxL06ny+IqPF7sLqdJNhTOQXVy/hR1cuCkkqq5hkf45XFt8S4I0w1/8N/DJOMkwZ/zTWM6tzufXc\nag6dMHGBUMDqqtCGrKCkgfsvKowVy8qz1NX237xkPvnpyYzYXHxyVfmEk/GLSzLZ0tgfcxn1eh1L\nyjLZ0TSIMUnP7z69gqOdw9hM/Xzl8lVkZYTfIWFeQRrJiXpcbk9ABmIsWFKehU4nK4OFxRn84PKF\n7G0bYk11LufW5I/rZCj1PC9oji8WKKEVgJvOqqK2NIvuERtXrSid8ODKxaWZNPRaAtYPxYpl5dm0\nD8qbLN/3qWV0m+ykJidw7eryEOOpUJqdQlZKEiarM6o1Q9NhXkEaqckJjDncVOSm8IurlrCnbZgl\npZlctrho/Hr2KuSy7JRxyzFT+IcXr1pRysULC2nuH+XKpSUsKMoYd7PWxaWZbG8aiEs9Ly/PVk8T\nuPPqJVgdbnQ6+NTqinEX/aYZEqnKS6V1YCxgzeJ4xMtAnUBe+9QUdP1i4pRmPh0qc1O58awqOoet\n3HvtcnLSkgNOZh2Pz5xZSVZqEmfNjS7TaDpcs7KM/xzuYW11Lt+6dH7UivJX1y5jZ/MgVyyNLrV9\nOnzlwhpszmN885L5XLSwkAtrcqivH8MwwaLk7NRknrp1LXanh5KsyOvXpkOmMYmvX1TD3vZh7vnk\nMkqzU7hoYeR0+iuWFHP/Z1awqDAFc1dzxPunw4dqizh/QQHVean89GO1Ue20D/DjjyzmggUFIaG1\nWHDLudWcGLLyhXPmcNWKsqi+k5Sg56lb19JtslFbGnld03RI0Ov4zocE/lPfzV3XLKGmMIMLo1g2\ncdbcPB78/KqYG1CAdXPzuHJpMcbEBO7+xNKIC/cVvnHJfHl3kEWRyzNdrl9Xxf6OYT6xqpzr11VF\n/b3HbjoDsdvCuVFkYOrGW6w2kwiC8AXgHu9/v0AO7VUh76/3DVEU/xyrZ9fV1Um1tbVR7RE2m7HZ\nbNTX13M6lEXhdCvT6VSe06ksCqdTmU7HsqxevTrE24qLgQIQBOFK4AfAYuRNY48A94qi+K9YPreu\nri4+BdTQ0NDQmDJxN1Deo9qvBN5U9s0TBOHrwIeQN429XxTFAzETQENDQ0PjlCVmWXyCIFQij5Ke\nRj4LCkEQfoV87IYLef7rPUEQwu/YqKGhoaHxgSaWSRK/wLsxrCiKZkEQ8oFvAS+JongtgCAI/+29\n74oYyqGhoaGhcQoSy3VQHwZ+Koqicp7D5chzT0/63bMeODuGMmhoaGhonKLE0kBlA91+ny9CDu1t\n9Ls2gmy0NDQ0NDQ0AoilgWpFPpYdQRASkMN47wUdMnghENuFIxoaGhoapySxNFBPAr8XBOE64CGg\n2Pt/AARBOA+4C5jV+/BpaGhoaJwcYpkkcQ9ymO9BwAP8SBTFfwIIgvB75EW6L3rv09DQ0NDQCCBu\nC3X9EQRhKZAgiuK+uD9cQ0NDQ+OU4KQYKA0NDQ0NjUjE7cBCDQ0NDQ2NyaAZKA0NDQ2NWYlmoDQ0\nNDQ0ZiWagdLQ0NDQmJVoBkpDQ0NDY1aiGSgNDQ0NjVnJhAt1BUH4YrQ/JIrio9MXR0NDQ0NDQybS\nThI/jPJ3JEAzUBoaGhoaM8asWagrCMK5wK+BhUA/8CtRFB8RBCEHeBy4GDAB/08UxcdOnqQaGhoa\nGvFgUgZKEIQyZAOiHJGhAwzAalEUfzZVIbxG6Djy/nzPAiuAt4HrgC8DVuA2YBnwBvARURR3TPV5\nGhoaGhqzn6g3ixUE4Xbk49oTkEN6Ou8/ScAOYMoGCqgCXhNF8Wnv5z2CIGxCPszwamCBKIo2YKcg\nCE8DN3qfGZG6urrZMUTU0NDQ0BiX1atX64KvTWY38+8CdwJ3A23AGiAT+Dvw0nQE824ae4Py2Tui\nOg84ADhFUWzyvx34xGR+v6amBoPBMB0RTzp2u53GxsbToiwK45Wp22TjNxuOc82KEs6am3sSJZwc\n8ayjO18X+fvODi5dWMAfP7Nsxn//g9TeTkVOx7KEYzIGqgz4qyiKTkEQ9gLrRFF8QRCEbwOPAPdN\nX1QQBCELeAWoAzYB3wy6ZQxIncxvjlf4U5HTqSwKwWW67dVeBq0eNou9PPHxwpMk1dSJRx2JHUPy\ns7qGqK+vj9lzPgjt7VTmdCpLOCZjoAaQz3cCeRSzDHgBaAEqZkIYQRCqgVeR56M+DSwCjEG3pQKW\nyfzu6eRlnA5lUQhXpuN9owxauwEYsXuora09mSJOinjWkW3rLsDOkIOYvKMPSns7VTkdyxKOyRio\nV4BHBEG4FdgI/EEQhPXAJ5FDftNCEIRVwHrkkOF3RVH0CILQACQLglApiqLyDAE4PJnfNhgMGI3B\ndu7U5HQqi4J/mR7fLgb+Y0ISxqSEMN+avcSjjgZGHQCYrC4kfRIpybF5R/5leXJbCw9sauSbl87n\n82urYvK8ydI7YuP/vXKYj68o5cO1xVF953TqQ6dTWcIxmZ0k7gD2AytEUXwFeAfYAtwCfGc6QgiC\nUIRsnH4tiuIdoih6AERRNAMvA78UBCFVEIQ1wOeAp6bzPI34sbWxn3/v74zq3l6zjZf3nQi41jNi\ni4VYMUGSJEbsnrg8p89iVz93x+kdPbernV6znf956RB3vjopHzFmvLj3BK8d7OKe9UdPtigaMSDq\nEZQoihbkVG/l803e+acRURRd05TjFqAA+IkgCD/xu36/95kPAx3Iob3viaL4/jSfpxEHRmxOvvCX\nXThcHoSiDITijAnvrz8xgssTmHTZOWyjKi8tlmLOGPdvbOLh93r5pb6Lz66rjtlzhsacON2+99Rl\nslKdH/t31GWyqn//eUszn1xdzqKSzJg/dyJODMkytQ+O4fZIJOhDEsE0TmEmk2Z+4wT/hiiKf52q\nEKIo3o2cHTge1031tzVOHoc7R3C45BHF0e6RiAaqqX8UgMrcVExWJyarM0ApjofHI9HQa6GmMP2k\nKqh3GwcA2Cj2xdRA9ZntAZ+7huMzglLqUuF4n+WkG6guk1x2p1uic9hKRe6k8qdOOU4MW3G5PRSl\nnVph76kymTmoe8J8NwewI4f+pmygNMKz/lA3BRnJrK6KLtX6YIeJ8pwUctKSJ/2sUbsLvU43o3MZ\nR7pG1L/bBsYi3t/cL+e+VOen0TNi8xqoyMr3wc2N3PefY3zjkvnccdmCqQs8DSRJotVbxmM9k8rh\nmTS95sB3Eo8Qn83pZtThDrimjF5OJt0jPhnaBsdiZqCe2dlGc/8o3/+wQGLCydlj22xz8rE/bMHu\ndPPKV9fF9Fk2p3tWzP1G/aZFUSwJ+q8AOSz3OvB8zCT8gHK0e4Qv/72Omx7fhd3lUwyvH+rh1QOh\nczo7mgb42B+3cPMTOyf9rC6TlUt+/Q7n3rOREZtzWnL7c7jTZ6BaojBQTX3yCKo6P43S7BQAOocj\nK8FdLXLK9e6WwamIOSP0WxyqAm8btGINUuYzSe9I0AgqilHmdBkac6h/l2TJk/InoqibWNNt8r2L\n1ija2FQwWZ38z0sHefTdJl490BWTZ+xvH6Z9cGL5j3abGRyV29mbh3sn/Yz1h7r42tN76LfYJ7zv\nia3NLP7pep7bNe3ct2kzLVdAFMUh4MfA92dGnA8eTreHMUfoFJ7ihVvsLjWk021xcccLh/j6M3tD\nvOi9bcMA1HeO4PFEv3mG2yNx+1N76B6xMTDqYJ/3d2aCw/4jqMHRiPc3e0N8cwvSKPYqwe4oRlCK\nouw4iR5964CvfBLQ0GuO2bP6ghRMNO9ougyO+gzUkrIsQB5BvX6wiwvu3cQ7x/piLkMwDpcnQNm2\nRtHGpsLRrhGULvXawZk3UH/b3sJVD2zl2oe3hYRR/Wns9Y3M3z46eQN19+tHefVAFy/vmzhpaePR\nXjwSPLOzfdLPmGlmYqxaDZwas9izjGM9Zi7+9WbOvGsDHUOB3lOXn3c6YJGVQ+OgPLqRJGgfDFTG\nyvddHolBP283Eo9taWKPn1Hy7wThaOgx8+qBTtwRjKDT7aHBL9QVaQQ15nCp4by5+emUeg1UZwTl\nK0mSWvbOYWtEuWKFYlwVjnbFzkAFj6A64zAHFWCgSr0GatjKX7e30Dowxj92x1+ZBTtp0YSRp4J/\nqPqdY32YZzDK8GZ9Nz/9t7zQumfEzp62oXHv9e+be9pMDNvcON3RZY3anG7avf2kO8KIW+mH+zuG\nA+r9ZBC1gRIE4ekw/72KvFj3udiJeHqyr32YTz60jfZBKxa7i1f2B3pm/qEtxUtsMflGWr1B8w7t\nfqOHyaRmP7+7I+BzY9/4Bur9pgE++octfO3pvXz9mT0BocdgjvdZcPh1nj6znVH7+MmeLf0+5VJd\nkEZJlhziixS+Ghx1YHPKz3F5pLilXAfTMhBkoLpjP4JK9CaExKPMiqLKNCYyJ1+e5zkxZFXLGavR\n6/CYA3Gcdxk8cowmxLe32875v96iGtS9bUMBBigcR/ycDYfLw8ZJjF56R2zjOk2SJPHjfx3Cf7/u\niUai/gZKAn6yaZBVd23mjShGdW2DY+pzekYmDvH1eN+rJMF7DfEfGfszmRGUPeg/G3Lq9zeRdyHX\nmABJkviflw5yx3P7cHskfrX+KGabT2FvONITcL//yEE1UMM+z603KJOrwy9+Hfxv4+H2SKrXWZ4j\nG4TxRlBHuka45f+3d95xUpT343/v3t7t9d4Pjjvujgc4OKp0VATsRowt1lgSS6LGmHyTmGoSk/w0\nlphoookaSzRq7L2AgogUkX4cD+XggON6r3tl9/fHMzM3W64hxwHO+/W6F+zOzO4zszPP5/n0p9fj\n0kwQ724t5/vPbaC3avi6/8kcVLe/Dxu7roGEBttJiw4lLVZpUPWtnX36c3wnxoP92PGHCrOABZAV\nfU96g6G62cXza/fT0Kp+f31xMjZNRUUqIT10Pi+AOk1AxUeEkKH5B5tcXdRrYxoKAdXW0c2SR1Zx\nxl8+ZW1xjd923wCakpqWXu9Hnc/2t1HZ5OLJVfsormrm4kdXs+SRVX4WDDNF5d6/5TsD9EN9IiuZ\n8cdl3PHSpoDbWzq6DfP9RM1sukL2L6D0SNVDzd10uj28PQABpft3wV/zNNPU3kmTaSHZ13iOBoMJ\nkrjW5+86KeVNUsonpJTDqwceB+yvbeW5tft5dWMpn++pNnxGZ+SnALBhfx01Jnu6twalLu/e+p4b\nx6wlud0eDpr299WueqO8sd3QchaNU+PoTUD989Niml1dJEU5uWZOFgBLiypZUxw4MEEXUFMy4whx\nqNuspKZ3H0GxprllJURgt9tI1zQogEN9aFG+jvq+Jkq328Oyogovs4Xb7eHVDQfZWdG3xnOgtpVv\n/XM1t/13Y8BJUNeg4sPUufa26j8c/vy+5OevbeWBj1SVDX1SKxgRa+zTn9Zc29LBS18c6Dd4o7iq\nmdc3lhpmZfPxAHERIWTEhfkdV93sGrSQbO/s5sGPdrJub+B76B/Ldxum4dcD+E30c7Zpi6CWjm6j\nwkZv1LT1pD28trGULrcHV5ebJz7bG3D/rm638VuePCYJgOU7q2ho69/M9+oGlXT+aS9aUbVpIXnR\ntBGA8tsGen5bXF3GvX75jEyvbTsHcK+ZTdC+JmIzvvfRip1Vg/JpH2n6FFBCiBsG+ne0Bny8YvYZ\nPbO6hDbtYb5tYR4hDjtuD3xiWq34mviqmlzUt/eYzMxaUlWzy8u52p8Kr2MWGAvGqqKstS0dAe3O\nuinnypmj+M1545mQofJf/r0q8IOt75+fHs1IbULbW93K9kONAU0e5gAJwAiSgL6DAHxXvgf6WAm/\nsuEg1z+9ngv+vsrwI7xfWM4dL23mpme/7PW4zQfqWfjACtYU1/Lm5kPs8TGDejwe9mnjn5mhxl3d\n3OGXr3S46GbXlburAZOA0lbd4K9NmOl2e7j6ybX85JUt/GXpzoD7tHZ0ccmjqznt/hXc/uIm7n7P\nu+SU7tdMiAghOSrUMC+a6UsLCcQ/lu/hoWW7uPPVLX7b9te08uinPU0MPt5R4bcw0M95bGpPLlZ/\nZr7aNvXceTzw71X7jPdfWHfA0BLN7K1uMawGP1ykntWOLjfv9qO1dLs9hnmsrrUz4GfXtPTcH2dP\nTCM0WE3Hgcx8Zg3oewtyeOk70/n+dHXexdUtNLZ38tOXt/DSF4F9gXoKB/RtYTFHRaoxdlB46MhZ\nAwZLfxrUnT5//0D1hLoNuBnVAfcR4DtDOMYTAvPE+dF2Zc6LCw9mfFo0c3MSgB4zX1tHN3WtPSu0\n6uYOdvjk1phXOr7hqQP1QekPc2Kkk0kjeiY7Xy2q2+0xNJzc5EhsNhvXzlGJqB8VVQQMj9Unq1EJ\nEUYliHve38HZf13Jv1YW++2vJ+nqFRFCg4OI1/K5+go1983F2V/byl+X7eLlLw/67fvprmrjvH+j\nOab1SWRvTUvACKptpQ1c+fhar23bSr0f2KpmlxFiPjOjp3Dn1tL+IyK7ut386d0iFty3nDG/fI87\nX93it2LVf8/iqhYO1LYaJphRCRHEhAUDfeck/WdNiTHmd7eVBdQAP9pewTpTmP76Eu+xGxpUeAhB\ndpthgjVzYBBmvq5uNy9oYcz7a1v9zvlfK4vp6HIT6VSpmhWNLr+JUve9jUuLIkrbr79oUV2DAhUh\nq9PW2c2za0qM1/uqW1h4/3KWPLIKUKbnghGxLB6vLA2vbvC/v8xsOVhvmD8Biqv9LRO6ZSQkyE5i\nZAizRqt54IGPdrLGx6S5u0ot+CKdDlKjQykYEcP4JPV8dLs9PPDhTl5cf4BfvbEtYOCE2QTd7Orq\n1R+s+3zjI0JIjFSfv7W0oc9zHUr6FFBSymz9D/gnqtL4CCnlBCnlFFQLjteAT4d6oEKIKUKIdUKI\nFiHEJiHE0GaqDYCyhja2HBxYWHag1eWUzDhsNhsLNfPacllFQ2unn0mrusmFLPe+wc1quq9Zq7LJ\nRWN7Z785RLqAykoIJzY8hMRINbn6CqiDda3GKjIvJRKAcyelkRjpxOOBZ1bv89rf4/EYPrSM2FAy\nfZIn399W7re/rpVkJ0Ya7+uaV1+RTb7n/vbmMh74aCc/eXmz36p1Q0nP57y6oZQPCstZq5mXPB5/\nwb67solvP7mOJlcXiZFOokLVJOj7wJof/tGxweRrvqHlA7DfP7lqL499WszeaiUg/7vuAPd92KO9\neDwer9/avHJPjnaSm6yu1/ZeHP2VTe3c90HP5x2obWNXADPupzuV8I7QErWrmjtoMtUV1AVUvDZp\n6X4oM72ZVz/fU80nOyq9NOdlOyoNTb+z2+Nnmis8pK7xFTMzje9a6uOn1TXrtJhQMhPUPWbWNHxp\nbu+ivctfOOtmdvO1fWXDQfZUtRgLj7zkKILsNi6cmgGo3Lu+TNa+WtCeAOPSfcuJkSHYbDZumD+a\nEIedsoZ2Lv/XGtbvq8Xj8bBuby1rNVN6jrZABEiOCCJcS6Z9SQv6cHW5DW3eTLHPe71pUfo1TY0O\nZUyKuo/7M38PJYMJkvg/4GdSSmOZJaVsBH6NqUbfUCCECEVVU/83quXHX4E3hRCRfR44hHS7PVz8\n6Gq+8fCqAYXYBnp4p2YqH8I5mnrf1tnNC1/s9xMs1c0uijSTmW5aMTs6A2lQ33psDafet9x40AOh\nP2D6w52brLSXX7y+lUseW83Wg+pYs3M2S9OGnI4gw26+UtNMdGpaOgyNIy0mjFEJ3gLKNxm4otFl\nBIyMSen5Sc8tSAfgtY2lRoCAL7pdPiVaCVfdp+b2qMCObreHxvZOKhvbjX1To9Xq/y9Ld3lNaGZ/\n1pcldVz06GpqWjqICnXwzHUzuHCqOt9tPgJK1y7jwoOJCLFzyphEQOWT9OW0L65q5v4Plclt8fgU\nzilIA+Dvy/cYydi1LR1e0ZBmX0xSlJNJmh9q84HAC6W3NpfR5OoiyukwNFLfid7j8fCppkl+W/Mv\nApQ09FxzQ0CF6wKq5zfVrX2BFmG7K5u56ol1XPvUFyx+cAUbtcXGc2u9k0DNZlyPx2Pcc3kpUSwc\np8zPy4oqAx6TGhPGpJHqOny+R2kedaZ7UKciwKSckxTBBVOU0CmuajG0jy98kr4LNAvD/LwkQ7N4\nbaN3YWMzvn6nQIJT9/MlaAvDObmJvHXLPEbGh+H2KM3336v2ccljq3lBM93lJvU8H3abjTztmW01\n+RaLfHxSje2dfsm5vVlZdK00Leb4E1BtQKA6MtOAodYBFwBuKeU/pJSdUsongQrg7CH+3l7ZUd5o\nCJ1fvbFtQE52X6ZkxgHK8axPfk9/vs8vx6m62WX4dKZmqgelrrXTCPP29bsUlTWyvUzVwQtk6tLp\n0aDUTa6vxj0eWLe3lkc+UT1a9BX3qIRwI+ABYLI2KeyubPYKOTfXhkuPDeOsCWnkJUeSFOU0roV5\nNb1Le3http4xAFwyfSRhwUG0d7p5cb1/VrvKgVLXamZ2gt/2wkON/Ph/m5n2+494UPO9OOw27jx7\nrHGdzOjmjdL6Nq58fC31rZ3EhAXz9HUzGJ8ebSSo+iZD6xreOK3W4Cl5aiwH69oCrpx1fvvWdlxd\nblKindx38SQevGQyM7NVWauHP96Nx+Px8yfqY86MDyfK6WDSSDWmbYcaApp29AXK7JwEFmua+rKi\nSqpNfsuisibDr3VuQbqRg1ZiSmuobVHCSi+jZQ6UOClLjflgrf8i7PM91cZvXVzVwg9e2ERJTYtf\n+LI5naCqyUWjtmDJTY40LAxbSxuMxZvb7TEm2dToUE7VAhg27q/j4x0VzPzjMq5/+guv7zBfSz2w\nYn5ekjERd3Qr7aOjy80mTeBfMn0E509O5zvzRwMQHGQ3Fk7vbfW2BOjUtXQYx+tWieIA6RtmDUpH\npEbxnXnquz4orPAzh0/JjPV6bV7Q6UhT1OHbWw7xH5PpUl9M9KtBHSMCajC1+B4CnhJC/A1Ve88G\nzET5or5Su40BMBb/HlBSe79fXK4j46w2s2pnz2quvdPNbc9v4LWbZmCz2fB4PIYarqMLqLBgO22d\nbmyASAqlvV3dEFeclM5za/dzqKGdx1fu8Tq2rrXTiBqamx3Lun3q5j9Y3UhGbBj7NU1oVHwYJbVt\nXpWu39taxv8tHI3dx6nt8XiMyLP06GDa29vJTfQ226zYWUl9Uws7tEkuJyHcGC9AboJ6+LrcHrYf\nqGWcZtraV6X2Dw6yERHkxh5s463vzWRnRTPf+MdaOrs97K2oJylcCbsdZWr/EbFh2N1dtGuTk9MO\n3yhI5cUvS3lq1T6umJ7uVQy2oa3T8CNMGxnt19ZjXXE1y3dW0+n2GFnx41KjWJAbR0yYg4Y2bzt8\nSVUz7e3tvLf5IG2d3UQ5HTx/3TRyksJob28nL1FN3M2uLnaW1ZGlaYZrtFX7lBGRQAd5CU7iwoOp\na+3kw22ljJjj3zupprnDmKR/vCgXp60bd1c3t52azRV7a9lR3sSnO8p7jYz7+Zl5uFwuxiWr36y9\n0822/TXGb6BTqGl7Y5LDGZsSxYvrD/BlSR3T715KXHgwV84YYZixkiJDyI4LJi85gkMN7exv6KKt\nvR2322OYS6OCbbS3t5MepXxfMaEOpo2MZu3eWrYerOeqx9cwNjWSHy3KBWDtHqVdZyWEs6+mlf21\nrdzx4kY8HkiICMZht1PR5OJATRPt7Wry3X6wR3sZEe1gdFwIUU4HTa4u3t50gKtnZVLV5DIq38eH\n2hiVEIHDbqPL7eH2FzbR0e1m5a5qisvrSdf8ZQdrezTdmVlxfCyrOXdCEikRQTgddlxdbrYdqKW2\nqdXIrbthbqaRgqHf+6eNieepz/chK5qQpbV+FoI3N5bi9oDTYefCKWk8tnIfeyqbvJ4dgEpNKMeG\nOby2LRoTz+9sNto6u2lrUL/NH88fR5DdxjkTkmhvbzfmtOx4f1/g9tIG2tvb2VrayC3PbzTet9vU\nwmZfTSulNc2s3V1BVkK44ccEOFSv+aXDHWTFKcFZ3dzBoZpGQwM/0vQ1Pw+m3ca9Qoha4AZUbygP\nsBW4Tko51LX4IlCt3s0MuPX7ULRFXrZVrZqTwu1UtbrZUdHM8i+28IZsZU1pOz+aFWs4MV3dHqo0\ndX5xdihv7mylICWEkt3ekVJTU51sKHdRrPk0kiOCqGxRN6i+YM8M7lnNrN2yA5EQQnGlWjFlR3ko\n8YnYLW908cZnmxiT4H1z1bd3G2aBrvoyCgtryAt2c9G4CJIjgvjH+kbaOt28sP2x6esAACAASURB\nVHwThQeUIIui1au9uMfjIdxho7XLw9INO3BnqZ9j4y4t5DrUTlFRz7rCZbL/r9xYREGKEnAb96iV\naEqo2699+ayETl5E5YW9tHyjcQxAcV2PCSq+y9vMCLBMVuEbMDgyvItdsojZ6SG8v8dbQG3fd4jC\nhBY+2aYWAGMTgmiv3EehthbpdnsIsUOHGz5Yt515mWHUtHWzX9PiUuzNQAh7i/cwMTGIT/d38s7G\n/cyM8V89L93bitsDIUGQ4ammsFAJOafHw+hYB8X1XTzyUSFT09T5hgfbaOv04AHmZ4aS1FlBYaGK\nbIsMsdHc4eH99Ttwj+55JDq7e0xlER11xHW0EB5so7VTXZS61k7+trwnCjM/wc727duJs6vJckd1\nB2c/vIa2Lg/dmqmyvuIAhV0VjLS5OSMnjInJTtpa1U23v66N/XVtrNxdw9yENqJC7Kzdo4Tw/Iwg\n7N3qvL7cr4TmKSNDKKruoKIJthWXUhih7uOVu9X9kxhmN56RqakOVpR08dr6fUyLamJrZc+k1lxR\nQkmdHZEQTGFVh6F9Abz46VZOz1HXpKhEXYvYEA/XjbNxtUjCVneAHXWQEWmnuN7NqsK9RGjRdPFh\ndupL99BwyHtxF+r2EB1io7HDw3MrtpEcEURsqJ1xieoZe2ltjTbmEGK61b1UUtPKlq3bvBZY+yvV\nHOJpa/S77wtSgtlYruaMSSkhiBC1r9zh/YCHd/b4VR026PJA4cE6CgsLeVt6a++Z0Q4i7eraPLWq\nmHs+7GZampOfz4sz9inVK9I0V9NV03Pfvr92G64uD/nJIcb1ORoMRoNCSvk48PgQjaUvWgFfr+yA\nW78f6bbIHo+Hne+sBODaeaP5y7JiOrrd1DqSWLp3B11uDw+ua+KVG2eQFhOqOSiV3f/7Z0zihkVu\nUqJDDae7zi/iGrnon1+gz6nTshJ4r7BHU4sOsbFg6licH6/G1eUmIjEDIRKpfUV99mkFWSwv8W/c\ntqs9kgvy87zeU+WN1ORx6rQJxIarVdS0SWr75+Xr2XSwgV2tYZQ2K6E4e3wW+T5dS8etW8+X+xto\nDoohP19ZgN8+uAtoYlRSlF878uSl9VQ2ubBFJ5Obm8Tu3bup6lDXYUpOKvn5uV775wP/2rKO7eVN\nyNZwLstXSnNHl5tHX9kGqCiohTMKyP5iDXtrWrlgchqvbSrzE04Ap03KJj8/letjG3l/jzIBZcSG\nUlrfjisonPz8fIo/+Exdl/yR5Od7az/j1rSxubSRxqAY8vPzeGdrOVBFSJCdM08ay4F9xeTm5nKB\np55P92+jsKqD4u4Ezivwvm5/3aSSN0/OS2LqpAle227sLuOnr23ni0MuRqbEA42MTorkzPEpbD3U\nyF3njiUuvGfVO2XTJlburqHGHUl+/jjj/cJDjXR71L1xxox80mNDeT6lie1lTWTGh7F0RzUvbyil\n2aUWKhfOyiN/XDJzu8t5XRZysMlfe5s2QRhBL/q9smZvLazf6LWfLXYEcXFhVLepxcfZJwmyRzTx\nu3eVwLEB3ztjEg8s20NRdQXdIT33yst7dwBNiPRY471Lg6pYUbKFHdWdJGXm0lxXDtSRGRfGzCkT\nATizbh+FS72tD7taQvih9hkv7i4EmhmREEXBRO9rPnFnIcX15TR4wmnoAGhi1uhEJkzw3k9n0Z7t\nvLqpjJeLWmnt7CYs2M7KH82nydXF9ip1zlfMHUNWQhj3fr6WLg/EpI/20rbaP1kNdCJGpZOf753b\ndHl3ORtfVULr5oXjyNf8mjp6m/RTJo+BFao93rkFaby+uYzK1m5G5QoqCouAJtKinbR2dHPZrGy2\nHmpkW1UFFdrCd0tlB3liHCEOO67ObhpdauzTxuYwIyeelI8/o6LJxcPrm6lt7eT8Sancc4H3M/1V\nOeyW70KIPwJ3Sylbtf/3ipTy54c/xH4pwr9ahQCeH8jBR7ot8q6KJiMMfMG4ND7aoRJvn1130DA7\n1LZ2cvvLhbx28xyqWtUEb7NBVkoMTkfgMvbTRody+cxMw4E8Ni3WS0CNig0mNDSU5GgnB2rbqG93\nc6i52/jOWbnJ2G07jIl5TEokOyuaeXdbJbcuFF5tOMqa1EoqOtRBarx/n6YzJ6ax6WADb22pMJz0\n4zLi/K7jhIxYvtzfwM7KVmNbpeavGBEX4bd/VmIElU0uDjV24nQ68Xg8hsY4PiM24O90zqR0tpdL\nlu6o4g/fnESQ3cZtz6znoyIlYG86ZTTh4WE8cc1JlNS2MiYlitc29URkzcyOZ+3eWoKDbMwdk0Jo\naCjTRzv53qk51DR3MDI+jPs+3El5Ywe17R7KNF/FrNwkv/FMHBnL5tJGCsubCQ0NZWOp+m0nZ8YS\nHaHWUE6nk/OmjOSFLw+xdm8tv3yziHEZcYYPq9nVxepitfI9a2K633csmZbJXW9L2jq7+VA7x7TY\ncG5ZJPyuDcCUUfGs3F3D1kNNOJ1Ow7y8p0YdGxMWTHZKDDabjclZoUzOUv6aeSKNO88Zz8qd1bi6\n3Jw9MRWbzcbEzN7bu6TGRxEaGuz1Xk5KrN9+e2raqdeiAEMcdqZmJzJ+RDz3fLgLV5ebk8ckkZsW\nx4h45f+sbO4wrsNezZclUmOM907LTycipJCWjm5W7K6jqEJpBwUje+6ZhePTuV8TUOPTotle1sjq\n4jpsjmCcjiCqWtQ9nx4b7nfNx6fH8sbmcnZWtdCsaWAzc/x/f52zCjJ4dVMZrZoJtq3TzbaKVnZW\nNOEBokIdLJ6ofFV2m7KAHGzsRGT0fF6N9pykBXhOzpsyko931hDpdHD6hAw/E71OWlwk187NYndl\nM3ecPpbXtZJpJfWdbNFSC66bN5rvzM/GZrPxx3eLvI7v7Pawv6GTCRkxVLb0GKkyk6IIDQ1lTGoU\nFU0uarX5btmOaoKCQwg+Si1H+vuW2UCI6f+9/Q11yPfHgFMIcasQIlgIcR2QAnwwxN8bkDVaaHJs\neDAiJcoIFtADGfScjM0H6tld1Wz4n1KjQ3sVTjo/Pl0YDtyTsuO8VsrZsepzU6LUzVzR2G5Eb0U6\nHeQm9QQiAPzmvHyC7DbKG9u56sm1XtnvuhO3t06ser6HLpxsNshJ8nfI6g3rtpc1GhFreqHb9ACh\nyLrfRg+FrW5zGz4Q3Snry1kTlPZR3dzBur21VDa286GWS3bbabn8UOsBNTopkgUimfSYUC+7+k2n\n5PCf62fy9HUzjBp/NpuNn5w5lnsuKjB6CB2qb2O9Fooe4rAbAsWMHhDwZUkdLa4uowqCHtyg4wiy\n8/crppIRG4ary83v3lKmztL6Nu55bwcd3W6C7DYjQs2M0xFklL7Roxv1KMVATNYCJWRFE/Pu+cQI\nl9YDJManRfv5RM3ftUiLINT3GZ0YaUSLBvkcp9/bZtJiAvhByhr5UruWk0fE4nQEERMWzC0LckmJ\ndnL7IqXR6xGV5ig+3SxpDpgJDQ7iNC1Y4u0tZWzRcswKTPl749KiuHT6SE4VSfzt8imAym+6933J\nG5tKjSi+QNdSb6ZZUtNqhLzrv3Ug5uclEu7TO23t3lqjUvjZE9JwOoJwOoKM+8scydfR5Taex4RI\nf99OaHAQ/7hyGn++eFKvwknnN+fl8+z1M8lMCCdBW4Su3FVlpHpMyYztCU2P8j/3zVqqjLmmY6r2\nnAifZ7LZ1cX6fb2nfRxp+tSgpJQLAv3/aCOldAkhzkK1fv8jsBv4hpSy76y8IUJPojspKx673caU\nzDivrPTzp6TzxsZDNLm62HSg3og0GxGgRIwvcREhrPjxAnZXNTF7dAIJkU5DW8uKVZNusvaA6flO\noGp52e02UqJDqWh0kREbxtzcRB64ZBK3v7iJbaWNnP3QSn53fj5zchJ5fZMKkT3dx2Snk5MUyZWz\nMnl7SxkNbZ1cMDkjYDNDXUDpzQXTY8OM6tqBkjn1pF09gnC/Film70UAghI8Y1Oj2FHexLtbyzhN\nq3phs8FNp+b4Tb42m43xadGsLq7BYbcxIzueiAATq066qbbccqk01oKMwJruyXlJ2G1q5fnylweN\ntigzsv0ns4RIJ79fks91T61n3b5a/r1qL/e+L40qInNzE4kND+x4njQyxitxVp/IAzFrdAJ5yZHs\nqmxWAvD9HZw9Mc3IjRqfPriutyEOO5NHxrC+pJ4fLszhvqU95pdAgs4RZOeeCyeytbQBpyOIJz7b\na4T4A0zL6vFx3Lowj1sX9pibdeFW1tDOQ0t3sWp3tZHAmucToXZuQRpvbT5k5K4BXosIm83GPRcV\nGK/HpUVTVNboV8YoJcAk7dvteX5eol/AiZnQ4CD+dtkUviypo6LRxSsbDvL6xlKjusX5U9KNfcem\nRlFS02oIAvDur5UQceTcD2PToli1u8aoKOGw27yuUXKA+2jLgQaumImRixjpdBgJ0uZFY5DdRrfb\nw3JZyewc/6jZoWBQepoQYqIQIk77/9lCiCeEEDcPzdC8kVJukVLOkVJGSSmnSCnXHI3v9aWr281K\nLcdhXq6yC08Z6W3imJOTSIG2qlUCSi/IOrBun5kJ4Zw2NgWbzeYVgqprUMkmDWqLlquk54HoD/xk\nLRz1/MkZ3HNhAcFBNkrr27j+6fXc8Ox6mtq7CLLbuFjLZQrE3UsmsunXp7PnD2fzwKWTA+4jUqOM\n0NWiskY6u91Gjpa5np6OboMvqVWFPQ809lRF6KuD59kTVY7QR9srDM1gdGIE4SGBBY9+PaaOiutT\nOIG3pve2ZiIxT6pm4iJCjPSAP72nzCVx4cG9rrYXiGRjFfrbt7bT1tlNTFgw18zJ4t4LCwIeAzB5\npPf3p/QhoMJDHHxw+8k8rGkNJTWtHKhtNapw5w9SQAHcf2E+v5gXx/VzM418N728VSAuPSmTu5dM\nZNooNe6iskbDoqA/J4HQS1q5utw8uHSnl1DO9VmwnCqSiPbx2wbScnVuOmU0iZEhxmSrkxxAg0o1\n+YSdDjt3L5nQq9aps3BcCj85c6yxYNKFU0q00yvtQb83vtASbwGvMliJUUcuOm5OjrrWuvY0Ni3K\n67kya1B6VN4WLdJTz7WaYxI+J49J0tIZYrl6tvLHfiIH34vqcBlMu40bgI1AgRBiCqqCRDrwayHE\n74dofMccGw/UG1FCC4S6MUfEhRmqNajVtG7223yg3uiLNHIAGpQveh5FSJCd9Cj1AOkP9Y7yJiMv\nRi9VdMPJOSwen8L3Ts0xPuOS6SN597b5Rg6Fnli7aFxywBWVL32ZGEKDgwwz4Y7yJioa2w0fWGAT\nn9q3vdNNZVMH27RorLGpva9WQU1OoMwQemuS/PTeJ6fvzs/mtoV5/GFJYCe3mZQopyFkdZOmr8nO\nzAJtLHoo8mUzMnsVrjabjRtOHm28DnHYef67M7nrG/le9QZ9meyT79LXvqB+ozPyU41KEH9fvtsI\nwe/rOvVGSnQoU9OUP+tP35zI78/P5y+9LFLMjNc0av0eyIgNY/bo3lfbaT6LGD3KTaREeflMQZkj\n9YUKqAVKtI8/zMz5kzNY/8vFvHCDtwciNYCAstlshiC9fdEYQ9MfCCdley8mzivwTofQBVRFo8uo\n6K+bEW22nuTnI8H187K9zHKTfRbPeoCLzQY3avflzoom1hTXGO4Cc7J2akwoG369mP/dOJvTx6dq\n+zcftW7Kg9GgfgxcI6VcAVwDbJZSngV8C7huCMZ2TPKJ1gtmdGKEUYHBZrMZN8KYlEittp2W01HW\niNQS3Wb18aD2hu5Tyk2OMPwCi8enYLOpVZie81Sgff+0UXH86+rpfpNSXkoU/7l+ppfN/jKfqsiH\nS16yeiD2VDZ7FS0NZOLLNEUxrdpTw2YtlPYs08QTiPz0GGP1rF/PvjSDhEgndyweQ14vfi0zjiC7\nl+9ubGoUp4zx9w3pnCp6tgXZbVw5yz/Pycx5k9INzfGu8/IHJDDSY0K9xtSXBqUTHGQ3TI163ldu\ncmTAZM7BEBxk56rZWeQm938tM+PDDSEJcOG0EX0ucFSZn57X18/LZukdJ/PSTbMD7n/+5Azj/xNH\nDEzwTsiI8fKTBTLxAfz54km8ectcbjYt7gZCclSoUeTYd4yg7lPdX6X7LPVK5nHhITiOYMBBaHAQ\nD1w6ieAgdVF9Nfv02DAe+tZk/n75VJZoFTS63R5+9bqKiM1JivDSoED9/iEOO9Oz4gwf5PajVEB2\nMFdmJLBC+/+5qNJDACXA4Jdoxyl6fTXzJAVw5exRRIc6uG6uKqKqCyy90s2IuLDDElAXTRvBtFFx\n3Dg/y3gvJymS07UgBlBaVno/K2yACKeDJ685iTk5CZxbkMb8vKRBjycQOVq5lT1VzUamf6TTEXB1\nGx0abKzw7npb4kY53s3nE4ggu83P7t2XeWewmKsM6MElvZGfHm2YSs6ckBpQUzQT4rDzv5tm89Yt\n87h85sAWBeZFDwxMQIHya5m5dPrIfk1VRxK73eblz+nLhAxqcWCuBrVkcga5yVFeQS5mZmbHG7X5\npo8KbIYNxL+vPYkop4PcuGC/9A6dSKfDq4XJYNBNeqMTI/xMoY4gu2H61AWUXsk8YQiSX/PTY3ji\n2yfxo8VjOCfAwu/8yRmcNTGNlOhQI2BErxbz7TlZvd4vwUF27r2ogMtmZDKjjwCSI8lgBFQxcJYQ\n4lxUm3ddQF2HCgM/4SlvaDcczwvGek/uC0QyW+46g29pWklydKiX0Lhwat8ryd7IT4/hlZvncMZ4\nb4F44yk9q7xJI2IGPAklRjp5/ruzePjyqX1OwoNBj7baU9ViFE4NVExU52daqSHdnHbWhOQ+/U86\nvpPv4fhWekO3r8/PS+zXAWyz2fj1eeM5VSTxszMHVMyE5KjQAa/4dXQBFRYc5Od76Q3dBwHKQX7B\n1Iw+9h4apmo+urm5CUYE20DpL6DDbrfx+Len88tzxhnP2kAYmxrNstvn8MfT4odEYN96Wi7fmJTO\n/7uwIODn65rM6uIaXt1w0BBUugn/SHPymCRuXZjXr3Z21gQlwILsNmaNjjdKrvW6/8Q0/vTNicSE\n925aPZIMJlH3V8B/tWPekFJuEkI8iCoUe/5QDO5YY4dW4yo8JChg1JYvk0bGcqhBJb7198MPlqmZ\ncczPS2TlrmqjkdpwoUffNbu6eL9QnW9f2s0CkczCscks08ylSyb1bd7TMU++GbFhvUbAHQ4/WiyY\nmZ0QMOw7EOcWpBs12YaK8wrSefrzfZyRnzrgSXVsahTxESHUtnSweHzKkE2AfXHraXkkRztZMnlg\nwvFHi8dw/0c7B+TjAhWdp0ePDobosOAjtijzJT02jL9eNqXX7fp8cbCujTte2my8HyjE/Gjy63PH\n85352SRFOftNgRkOBlPq6FUhxAggQ0qp9zB+FPiTlEcxrGMYmTYqjitnZTJ7dOKAfswFY5N5b1s5\np41N9vK9HCkevXIaG/bXeU3cw4E5PFwP2pg6qm9Tya/PG8/2Qw2khnuYMnJgmkVOUgQp0U4qGl2D\nDp3uj5jwYKOa+LFCZkI4a3++cFArfrvdxg8X5fHc2v3cvihQbeehJyY8mBtOHrgf55bTcrl2XrZf\ntN2JxOSRsaTFhFLW0E54SBAdXW663B5OPkJm9sPFbrcNOLp4OBjsHdEILBZCXIAqHpsGDKwh0glA\nVGgwdy+ZOOD9L542guzEiMNa7Q2ECKfjiPmRvuo49IdPZ1o//oFRCRF8/MO5bN++fcATsM1m44Ip\nI3h0xR4jkfhE53DMUVfNzuKq2VlHfjBDhM1mO6GFE6jghbdvnUdlk4u85EjcHtXF+EhaAU5EBnxX\nCCGyURUdHEAq8DTwfWCBEGKxlHJjX8d/HbHZbH1mo59I5CZHGgIq0ukwIvv64nAm35+eKfjO/Oxh\nMV1ZWHwVEiKdRu8ngBCHJZz6YzDLlr8CH6Laa+j9ny4DngAeBE79KgMRQvwSVSk9GtgE3CKl3KZt\nW4RqNZ8NbACul1Lu/CrfZ3FkyUmKNPKrJo+MHTJbv0petoSThcXXgcFE8c0DHpBSGl3RpJRdwN2o\npoWHjRDiGuBqlJBLBJYC7wgh7EKIFOBV4E4gTtv2mhDi6MXOWvRLjqlu2tTMwwvVtbCwsDAzGAHl\nQgkIX7IZYNuLPkgE/iClLNaE3kNAJjAC+CawSUr5lpSyAyUQ04GTvuJ3WhxBckyJilMGkZ9iYWFh\n0RuDMfE9C/xNCHGT9jpOCHE28Agq/LxPhBAOIFBKu1tKeZ/Pe98AaoCD+HTTlVJ2CyH2aO+vG8jA\nh6Kj7tFGP4dj9VzGJIQSGxaM3QYTU8L9uocG4lg/p8FyIp3PiXQuOifSOZ2I5xKIwQioO1GVxD8D\nnMAXQBfwd+CnAzj+VOCjAO+XAFn6CyHEKajw9RullG4hRAQqetDMgLvpwtB01B0ujuVzeej0OGw2\nKNkj+9/ZxLF8TofDiXQ+J9K56JxI53QinUsgBiSghBATUcLop8CvgRzt2N1AHvAJykfVK1LKpahG\nmn19z1UogXerlFJvRviVuulaHD0iQ45eK2gLC4sTn/466o4DXgf0PtzbgLOllIVCiCjgXlTk3d5e\nPmLACCF+BdwOnC+l/Ni0qQi42LRfkDae7QyAadOmWcEUFhYWFsch/S15H0KZ1+ajuuaWo/xQ44At\nqKrmvwX672nQB0KIa4EfAnN9hBOoth7ThRDfFEKEAL9E+aasvCsLCwuLExibx1xK2AchRD1KY/pc\ne50O7AIOAQdQ+UhHQnvaiYoG9PWWnSSlLBJCLEDlQY1G5UhZeVAWFhYWJzj9CahuIF1KWWF6rxX4\nH6o3VO8HW1hYWFhYfAX6M/HZAF8h1A382RJOFhYWFhZDyeGGXbUe0VFYWFhYWFj4MJAw86uEEE2m\n10HAZUKIKvNOUsp/HtGRWVhYWFh8renPB7UPfxNfIDxSytFHaEwWFhbHAUKI7CMRJGVh0Rt9Cqjj\nCSHEy8A2KeVdwz2WI8VAzkkrtHuLlHL60RrXYBBCPAtcCmRJKQ8N93gOFyHEGODPwMkoy0Mx8Fcp\n5RPDOrCviBDiNOAXqNqW3cBW4H4p5Rv9HDcFeFdKOexdHoUQHuAxKeVNPu/vQz0bbw/HuA4H7Vza\nADcqBqAReBP4mZSybjjHNhxYqf8WQ4YQIg44BxX1eVM/ux+zCCHswPvAelSh4hjgNuDPQogLh3Ns\nXwUhxOXAy6hamiOAZFTrnH8KIW7v5/AYIHhoRzgobhBCnDncgzhCzJBSRkopI4AZQAbwrnYffq04\n4dpYCiGeAqqllD/WXp8LPCylzNK0jW8BVcD52r93SSmfHabhDoi+zmk4xzUArgY+RRUUflUIcbeU\nskMIcRcwQUp5EYAQYgKwVUpp017fhFrVhwBPAZcA10oplx/1M1AkovL0npNStmnvrRBC/AQ1RoQQ\nNwN3APGoc75ZSlkuhDgVdf4rgKtQ99zPpZQvHN1T8EYIEQb8DbhBSvmyadNrWv7j+0KI51FC6xFg\nKmrsv0LV1HwPCBVCNAOjpJQ1R/UE/HkceFIIMUFKWeu7UWvb8yBwOkpD+S/qXEahtMZUXUMRQvwW\nGCulvPRoDb43pJQHhBDfQuWengO8pf129wAXorSs51H3VIcmxH4J3AhEAMtReaPD/fscFl87iQyc\ngWq8GI9qwviwECJ0eId0wvJd4Ekt0bsKU8mq3tBMTn9CPXyjUA0ss4ZwjP0ipaxEPegfCSF+K4RY\nIISIkFI+LqX8rxDiYlQx5SWo1W4x8KLpI8YDHShBdxPwlBAi/6iehD9zUBOYnylPSvkJUIY6n3eA\nZUACylT7GOrZOQuo0Vb6x8Lk9zdU+bN/9LL9NZQ/PRtVFedU4Ldawv9GVFsfncuBZ4ZspINEStkM\nrKKn3ul9qG4OBcAkYDpqQQeq9Ny3gdOAFKAFdW2OS76OAmq/lPJZre/UM6gJMHmYx3TCIYSYA8Si\nJjhQE8ctAzj0SuBpKeU6KWU78GNUoeLh5izUg74AZe6rFUL8VwiRAFwPPCilLNTGfCcwU/NbgSps\n/DMppUtK+aF2/CVH/xS8SEEJmM5etpejhFIEcLeUskNK+QVqkjwWfYke4FrgDM10aSCEyAFmAz+Q\nUjZJKUtR2tM12i7PoCwrCCFmoMyXHxylcQ+UWiBea9R6LfBTKWWNlLIK+A1qMQiqy/lfpcIF/AD4\nw7CM+Ahwwpn4BoA5PF5/OL+OgnqouQGlMZQKIUDdawlCiP66L6cDhfoLKWWLEGLYV+ia4PkL8BdN\n456HMrM8iWquebcQ4jemQzwoDbATOKgdr3MQSD0qA++dCiBFCBGiNQL1ZRTqHMp8umhvAtB+02MK\nzRx2K/CIEOJT06ZkoEVKWW16rwR1/sHAC8B9QohklPb0X20BeyyRCGwAklDdHZZrARWgzHwh2n2Z\ngrq/ANDOuZrjlON2YhZCXK3Z/XWCUbblbjS/gEbCUR3YV+BEOSchRAxKQ1gITNb+JgAvAbfS9/kc\nQE34+meFMcznK4S4VAhRrK1ekVK2a+1jfoM6tzJUi5hY/Q/ls1mhfUSKVoVfZxTqPIeTz4A64Arf\nDUKIM1DXfDWQZnbOCyG+J4SYedRGOUg0f/LHqIWD3slgPxChabs62UCtlLJT81l9gDIrX4xqznrM\noHWOmIMyM9egzMVTTPdaOsqn2w6UoszM+rHZms/3uOR41qCigRs1R24iSoXX7c9XapOkk+MreuxE\nOaergF1SylXmN4UQT6BCZr8NfF8rPtyMqmSv8zTKEfwsynn9B4b/Pl0KPIzSnv6A0sJzUJF8b6E6\nO/9UW7UXA98H7qbHdxYH/EwIcS+wGOUfMJ/zUUdK6RJCfA8VsWdHRVp2oUyZfwd+jhJQdahz+zNK\n6P4BNVnaUUESvWlgw8mNqNZAKQBSylIhxDLU73czyoT3O+A50zHPoHVvkFKuP8rj7RUhRDbKtLwe\n+FBK6RFCPAf8PyHEDSgN/THUomc+6pzuFEK8gxJWv6OfPnzHMsetBoWKK11ehgAAA9lJREFU2tmM\n6kW1FuWMfx/1Y+0B9gEr8XZWH+ucKOf0XVSUlC9LUeaGsSg/zBbt7119BynlZyjN5G3UyrcNNXEO\n2ySoBQHMQ61Ut6Ecz0tRgukO1Ir7X6jItnqUgD7HlLdSjwrjLkc5uC+WUg57K1Qp5f9QgRCXoExe\nZSifxU1Syvs0wXMesAj1u/0HFRFWhPrdCoEaIURuoM8fLjSz1nd93r4CZZHYi+qI8BnwE9P2d1CN\nUI8F7WmdEKJZCNGI0gZ3Auea6p/+APV7FKLMedGoABaAf6O0x2UoX2EwA/P9HpOcMIm6FicGQjk3\nOvQKBUKIcJRAEMdjixUtzPxlKWXicI/FwuJ4Y7hNJxYWvkwBfqlN7A2o8NliVB8yCwuLrxGWgLI4\n1ngRFXiwFRXi/CXwDau9i4XF1w/LxGdhYWFhcUxyPAdJWFhYWFicwBxXJj4hxDzgflQUWDVwr5Ty\nMa0o6ZOo8N0GVAmTJ7RjbMAfge+gzvcZ4A4pZbe2/QfA7ahQ4GXA98wt7i0sLCwshofjRoPShNCb\nqFyFOFRC3Z+EEItQIb7NqLyHi4B7hRCztEO/jyqyWACMA+YCP9I+8xJUSPPlqAztQu07LCwsLCyG\nmeNGQKES0d6RUj4vpXRLKTcAn6CSBpcAv9Ey/NehqvterR13FfAXKWWZlLIcVYj0Gm3bhcA/pZSr\ntZpkdwHjhRATj9pZWVhYWFgE5LgRUFLKTVLKq/TXmkY1H5Ul3SmlLDbvjjIDov273Web0Ex/QUCr\naZtH+8s78mdgYWFhYTEYjhsBZUYr+fMWKgT5E1S1ATOtqKxwUKHKrT7b7KiSQW+iGp1NEkKEoCoc\nhwNW+w0LCwuLYea4E1BabarPUeXnv4nyPfkKlHDtfVACKcxnW5dmDnwGVWPtDVQJFAdK26ofshOw\nsLCwsBgQx5WAEkJMRdWo+wBYonU33YUqNZ9p3pUes16R9tq8rUj7vDTgBSlllpQyA3gAZd7bOKQn\nYmFhYWHRL8dNoq7WsnkrcL+U8h6fba8A7agCkfmoQqRnSynXav1hbkBVae5EFYV8UUr5ZyHEVcDP\ngFNQxUgfBmKklOcfpdOysLCwsOiF4ykP6npUKPivhBC/Mr3/EEowPYqq7NsM/J+Ucq22/e+o8PN1\nKL/Tf1CaEtr/J6E0qiCU8LoaCwsLC4th57jRoCwsLCwsvl4cVz4oCwsLC4uvD5aAsrCwsLA4JrEE\nlIWFhYXFMYkloCwsLCwsjkksAWVhYWFhcUxiCSgLCwsLi2MSS0BZWFhYWByTWALKwsLCwuKYxBJQ\nFhYWFhbHJP8fxikw+5aU1EkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wy1rvrKSQI3pXA329iLYGPiyZEMYPd80jJcKXvy9Ldbp/TLBjXT6AwgYDJS1G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\nnAifZ7LZ1cX6fb2nf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts_visits = pd.Series(input_df.Visits.values\n", " ,index=pd.date_range(\n", " input_df.date_of_visit.min()\n", " , input_df.date_of_visit.max()\n", " , freq='D')\n", " )\n", "\n", "deompose = seasonal_decompose(ts_visits.interpolate(),\n", " freq=24)\n", "deompose.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Moving Average" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Visitsmoving_average
027NaN
131NaN
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33835.666667
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52431.000000
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\n", "
" ], "text/plain": [ " Visits moving_average\n", "0 27 NaN\n", "1 31 NaN\n", "2 38 32.000000\n", "3 38 35.666667\n", "4 31 35.666667\n", "5 24 31.000000\n", "6 21 25.333333\n", "7 29 24.666667\n", "8 30 26.666667\n", "9 22 27.000000" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "input_df['moving_average'] = input_df['Visits'].rolling(window=3,\n", " center=False).mean()\n", "\n", "input_df[['Visits','moving_average']].head(10)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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6PL1DDslepWsMHz4cwDwxqaysDFAHZIA6kPqYY45xPDN+/Hhqa2sJBALMmzeP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(input_df.Visits,'-',color='black',alpha=0.3)\n", "plt.plot(input_df.moving_average,color='b')\n", "plt.title('Website Visit and Moving Average Smoothening')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exponentially Weighted Moving Average (EWMA)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JWrzmzatCoVDc+14nipE2uYxWQv/ggw/o7e3lvPPOO24OJh8uxrRCb2tr01bw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "input_df['ewma'] = input_df['Visits'].ewm(halflife=3,\n", " ignore_na=False,\n", " min_periods=0,\n", " adjust=True).mean()\n", "\n", "plt.plot(input_df.Visits,'-',color='black',alpha=0.3)\n", "plt.plot(input_df.ewma,color='g')\n", "plt.title('Website Visit and Exponential Smoothening')\n", "plt.legend()" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }