感知器(Perceptron).ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 感知器(Perceptron)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 先引入我們需要的packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os \n",
    "import numpy as np\n",
    "import random\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 設定我們有30個點，其中15個是圈圈，15個是叉叉"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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p5adLKb9dSlkspdT2555tGvdlpZT/tpRyoZTyx6WUz5dSni2l/HIp5a3bMSYAALvfwkJy8uT1hST9Ll9unn/66W7rAmBrhnFGyWyS77iRA5ZSbk/ygSRr3xB9TfszVUr5xSQna63LN7I2AACG24kTzXokg1haSu66K7lwoZuaANi6oZtRkqS35vxPkjy5XYOVUm5J8qFcCUl+J8l/leRvJvnxJJ9qr//NJP98u+oAAGD3efzxZuHW9dYj2ayVleTRR+2GA7uRXa5GzzAGJb+T5CeSfFeSiVrrK5P82DaO91NJvrI9/vkkb6i1/nSt9V/WWt+b5PVJPtHev6uUcuc21gIAwC5y5szgs0lWLS83/QG7w8JC8sY3Jt/yLcl99zW7Wi237x+s7nJ1333N/Te+sWnP7jB0QUmt9cdqrX+/1vqBWuu2vqlZSvnGJH+9Pf1Ekv+y1vqFNfV8Ism7+y7ds501AQCwe5w/P/hsklUrK01/wPCzy9VoG7qg5Ab7G33H99VaP79Ouw8l+Xh7fLSUctv2lgUAwG7Q9b8QP/VUt/0B3Vvd5epaAcla/btcCUuG314PSr6t7/jD6zWqtdYkv953yS44AAD8/9Psu/L88932B3TLLld7w54NSkopfyHJZHv6QpLf3eCRi33Hr9uWogAA2FXGxrrt76abuu0P6FaXu1wxvPZsUJLk1UkOtMf/b631hQ3aP9t3/HXbUxIAALvJxMTGba7HbV7whqFll6u9Yy8HJV/Wd/zJTbT/VN/xl63bCgCAPeP48aTX66avXq/pDxhOdrnaO/ZyUPLFfcfrLeLar/8ttJev16iU8q5SysVSysXnnntuy8UBADD8Tp1Kxse76WtsrOkPGE52udo79nJQ0q921lGt99Vaj9Zaj958881ddQsAwBA6fDg5cmTwWSW9XnL77c32ocBwssvV3rGXg5LP9R3v30T7/jZ/1nEtAADsUufODT6rZHw8eeCBbuoBtoddrvaOvRyU/Gnf8Ss30b6/zZ+u2woAgD1lYiKZmUn2b+af3q5i//7m+YMHu60L6JZdrvaOvRyU/EGSxfb41aWUfRu0v6Xv+GPbUxIAALvR1FRy9mxy4MDmX8Pp9Zr2Z882zwPDzS5Xe8eeDUpqrV9I8u/b031JvnGDR472HV/alqIAANi1pqaa7T6PHWtmiawXmPR6zf1jx5JLl4QksFvY5Wrv2LNBSevX+47ful6jUkpZc//X12sLAIye+fnk9OlkcrJZS6KU5nNysrk+P7/TFTIsJiaSCxeSubnk7rub/0fGxpr/Z8bGmvO7727uX7jgdRvYTexytXds9LrJqJtN8t72+O5Syv9aa73aVsFvT/K17fHFWqv1iQFgD1hYSE6cSB57LFlaevG2kMvLyRNPJE8+mdx/f7Pzyblz3U/NZnc6dCi5996drgLo0uouV3Nzg20TbJer4TeyM0pKKWdLKbX9uedqbWqtv5vk19rT1yT5mVLKi/6blFJek+Rn+y5dtS8AYLTMzjZ/iJ2bSxYX1/9D8cpKc39urmk/O3tj6wTgxrHL1d4wdDNKSikHk3z/msuH+47ffJWFV3+11vroFof8wSRvSPKV7bivK6WcS/KpJIeS3J0rO978i1rrQ1scBwDYJWZnk+np5PLlzT+zGphMTzfn1p0AGD2ru1xd7+8Rq+xytTsMXVCSZneZH7rG/Te1P/0+nmRLQUmt9dlSytuTfCDJRJJj7c9av5jk+7YyBgCweywsJCdPbu0PwEnz3MmTyTd/sz8IA4yi1SD85MmXvpa5nl6vmUkyMyNI3w1G9tWb69HORjmc5O8m+e0kn0yylOT3k/xKkrfXWv9WrXV556oEAG6EEyeaP/gOYmkpueuubuoBYPjY5Wq0lVrrTtcwso4ePVovXry402UAAJv0+OPJG97QvEIzqP37r6xbAsDomp9PzpxJzp9Pnnoqef755Kabkttua7YAPnXK7wXDqpTySK316Nrrw/jqDQDAjjhzZvDZJKuWl5v+7HwCMNrscjV6vHoDANA6f36wLR/7raw0/QEAu4ugBACgtbDQbX9PPdVtfwDA9hOUAAC0ljtetv3557vtDwDYfoISAIDW2Fi3/d10U7f9AQDbT1ACANCamOi2v9tu67Y/AGD7CUoAAFrHjye9Xjd99XpNfwDA7iIoAQBonTqVjI9309fYWNMfALC7CEoAAFqHDydHjgw+q6TXS26/PTl0qJu6AIAbR1ACANDn3LnBZ5WMjycPPNBNPQDAjSUoAQDoMzGRzMwk+/dv7fn9+5vnDx7sti4A4MbYt9MFAAAMm6mp5vPkyWRpKVlZ2fiZXq+ZSTIzc+V5AGD3MaMEAOAqpqaS+fnk2LFmlsh665b0es39Y8eSS5eEJACw2wlKAADWMTGRXLiQzM0ld9+dTE42u9mU0nxOTjbX5+aadl63AYDdz6s3AAAbOHQouffena4CALgRzCgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFpDGZSUxt8opTxYSvmDUspSKeU/llJ+s5Tyt0sp+7ZhzDtLKb9YSnmylPK5UspyKeWTpZT/u5TyY6WU27oeEwAAABgunQcOgyqlvCLJB5K8ec2tr2p/3pzk3aWUd9ZaP9HBeK9K8itJ7rjK7VcmeUP783dLKT9ca33/oGMCAAAAw2mogpJSyliSDyZ5U3vp95Pcl+TjSV6d5PuSTCZ5fZIPlVLeUGv97ADj7UvyoSRH20ufT3IuyWNJPp3ka5L850m+NclYkv+llPK5Wuv/ttUxAQAAgOE1VEFJknfnSkjykSRvqbV+evVmKeVnkvxakrcm+fokP5zkPQOM91/kSkjy+0neVGt9dk2b95dS/k6awCZJ3ldKua/W+sIA4wIAAABDaGjWKGlnd/xQe1qTfE9/SJIktdbPJ/meJH/eXvqBUsorBxj2rX3HP3GVkGR13H+a5JH29FVpZrUAAAAAI2ZogpI0a4/c3B7/Zq31967WqNb6x0l+qT0dT/LtA4z5FX3HT27Q9mN9xy8bYEwAAABgSA1TUPJtfccf3qBt//23DTDmH/Udv3aDtqv3V/Li0AQAAAAYEcMUlLyu7/iRdVs1Lq7z3PX6YN/x3yul3HK1RqWUv50ra5mcq7X+yQBjAgAAAENqmBZz/bq+42c2aPsHaWZ29JK8tpRSaq11C2P+apJ/neSdaXa4eaKU8gt58a43fy3Nrjdp2/7AFsYBAAAAdoFhCkq+rO/4k9dqWGt9oZTy2SSvSPNreFmSz13vgLXWWkr5riT/U5oA5OVJ3nWVph9J8j8m+T+2GMgAAAAAu8AwvXrzxX3Hn99E+8t9xy/f6qC11pUkP5nkfUmW1mn2+iR/L8kbNuqvlPKuUsrFUsrF5557bqtlAQAAADtgmIKSHVFKeVuaV33+YZLfTrNl8Jel2VHntUnem2Y74m9N8pullGvuslNrva/WerTWevTmm2++VlMAAABgyAxTUNL/6swXbaL9/r7jP9vKgG1I8lCSL03ygSR/pdb6G7XWz9Ral2utH6+1/niarYuX2rrOlVK+aivjAQAAAMNtmIKSP+07fuW1GpZS9iX5kvb0hTQzPrbiH6X5b/CFJP91rfULV2tUa/2dJGfb05cnmd7ieAAAAMAQG6ag5GN9x7du0PbVaXa8SZInt7LAainlYJKvb08/Wmv9ww0e+bd9x//p9Y4HAAAADL9hCkou9R0f3aBt//1L67a6tq/uO/7sJtp/pu/4ZVscEwAAABhiwxSU/Hrf8Vs3aPu2vuMPb3G8/nDkazbR/pa+409tcUwAAABgiA1TUHI+yep+um8ppXzD1RqVUr4iyXe3p59P8sEtjvfxXNmG+GtKKX9pg/bf3Xd8cYtjAgAAAENsaIKSWusLSX60PS1JfqGU8or+NqWUL0pyf668+vIztdarzu4opZwtpdT2556rjHc5Lw5Z7i+lvGadvt6b5K+0p0tJZjf3qwIAAAB2k307XcAaP5vkO5O8Kcnrk/xuKeXn0sz+eHWS708y2bb9aJJ/MOB4703yV5N8eZKvTXKplPJAkv8nyeUkr0nyXUmO9T3zvlrrHww4LgAAADCEhiooqbUul1K+PckHkrw5zdohVwtDPpLknbXWz1zl3vWMt1BK+atJfinJa9Ns/fvu9metF5LcU2v98UHGBAAAAIbXUAUlSVJr/XQp5S1JppKcSHJ7klcl+XSS30sTasy0r+p0Md5HSimH2/H+ejveVyQZS7PTzZNJHk7yT2utC12MCQAAAAynUmvd6RpG1tGjR+vFi9Z9BQAAgGFTSnmk1np07fWhWcwVAAAAYKcJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAgD1kfj45fTqZnEzGx5NSms/Jyeb6/PxOVwgAO2vfThcAAMD2W1hITpxIHnssWVpKVlau3FteTp54InnyyeT++5MjR5Jz55KJiZ2rFwB2ihklAAAjbnY2OXQomZtLFhdfHJL0W1lp7s/NNe1nZ29snQAwDMwoAQAYYbOzyfR0cvny5p9ZDUymp5vzqantqAwAhpMZJQAAI2phITl58vpCkn6XLzfPP/10t3UBwDATlAAAjKgTJ5r1SAaxtJTcdVc39QDAbiAoAQAYQY8/3izcut56JJu1spI8+qjdcADYOwQlAAAj6MyZwWeTrFpebvoDgL1AUAIAMILOnx98NsmqlZWmPwDYCwQlAAAjaGGh2/6eeqrb/gBgWAlKAABG0PJyt/09/3y3/QHAsBKUAACMoLGxbvu76aZu+wOAYSUoAQAYQRMT3fZ3223d9gcAw0pQAgAwgo4fT3q9bvrq9Zr+AGAvEJQAAIygU6eS8fFu+hoba/oDgL1AUAIAMIIOH06OHBl8Vkmvl9x+e3LoUDd1AcCwE5QAAIyoc+cGn1UyPp488EA39QDAbiAoAQAYURMTycxMsn//1p7fv795/uDBbusCgGG2b6cLAABg+0xNNZ8nTyZLS8nKysbP9HrNTJKZmSvPA8BeYUYJAMCIm5pK5ueTY8eaWSLrrVvS6zX3jx1LLl0SkgCwNwlKAAD2gImJ5MKFZG4uufvuZHKy2c2mlOZzcrK5PjfXtPO6DQB7lVdvAAD2kEOHknvv3ekqAGB4mVECAAAA0BKUAABw3ebnk9Onm1d2xsebV3jGx5vz06eb+wCwG3n1BgCATVtYSE6cSB577KW76CwvJ088kTz5ZHL//cmRI8m5c836KIYwVAAAACAASURBVACwW5hRAgDApszONmuczM0li4vrbzW8stLcn5tr2s/O3tg6AWAQZpQAALCh2dlkejq5fHnzz6wGJtPTzbnthgHYDcwoAQDgmhYWkpMnry8k6Xf5cvP80093WxcAbAdBCQAA13TiRLMeySCWlpK77uqmHgDYToISAADW9fjjzcKt661HslkrK8mjj9oNB4DhJygBAGBdZ84MPptk1fJy0x8ADDNBCQAA6zp/fvDZJKtWVpr+AGCYCUoAAFjXwkK3/T31VLf9AUDXBCUAAKxrebnb/p5/vtv+AKBrghIAANY1NtZtfzfddI2b588nt9668fs5m20HAFsgKAEAYF0TE932d9tt69w4fz55xzuSZ59tPh9+eHPthCUAdExQAgDAuo4fT3q9bvrq9Zr+XmI1/FhcbM4XF5M773xpWHK1dsISADomKAEAYF2nTiXj4930NTbW9Pcia8OPVWvDkmu1E5YA0CFBCQAA6zp8ODlyZPBZJb1ecvvtyaFDfRfXCz9WrYYl73//xu2EJQB0pNRad7qGkXX06NF68eLFnS4DAGAgCwtNwLFeTrEZBw4kly4lBw/2Xbz11matkc08vJnBb7kleeaZLVYIwF5TSnmk1np07XUzSgAAuKaJiWRmJtm/f2vP79/fPP+ikCRpLh44sHEHmwlJDhxIzp7dSnkA8CKCEgAANjQ11eQQBw5s/jWcXu9KfjE1dZUGx48nDz64ubDkWg4cSB56KLnjjsH6AYAISgAA2KSpqWR+Pjl2rJklsl5g0us1948da163uWpIsmrQsERIAkDHBCUAAGzaxERy4UIyN5fcfXcyOdnsZlNK8zk52Vyfm2vaveR1m6vZalgiJAFgG+zb6QIAANh9Dh1K7r23ww6PH09+5EeS971v82uS3HOPkASAzplRAgDAzjt/fvMhSdK0u+ee5OGHt7MqAPYgQQkAADvr/PnkHe+4/v2HFxeTO+8UlgDQKUEJAAA7Z6shySphCQAdE5QAALAzBg1JVglLAOiQoAQAgJ1x8uTmF27dyOJiMj09cEkAICgBAGBnzMxsHIKs7m6zmXYzM52VBsDeJSgBAGBnHD+ePPjg+iHIgQPJQw8l73nPxu0efLDpDwAGJCgBAGDnrBeWrIYkd9yxcTshCQAdEpQAALCz1oYga0OSa7UTkgDQMUEJAAA7bzUEueWWq4ckV2snJAFgG+zb6QIAACBJE3o880x37QBgC8woAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAAAGNj+fnD6dTE4m4+NJKc3n5GRzfX5+pyuEzdm30wVcTSmlJJlKciLJkSQ3J/mTJB9N8i+TnK21vrAN4/aSfEeS70xyNMlXJflCkj9K8vEk55P861rrk12PDQAAsBstLCQnTiSPPZYsLSUrK1fuLS8nTzyRPPlkcv/9yZEjyblzycTEztULGxm6oKSU8ookH0jy5jW3vqr9eXOSd5dS3llr/USH496e5J8nuf0qt1+e5GuTvC3JVyf5wa7GBQAA2K1mZ5OTJ18akKy1spIsLiZzc8mhQ8nMTDI1dePqhOsxVEFJKWUsyQeTvKm99PtJ7kszm+PVSb4vyWSS1yf5UCnlDbXWz3Yw7l9K8qEkX9Je+ndJ/vckT7fnX9OO+58NOhYAAMAomJ1NpqeTy5c3/8xqYDI93ZwLSxhGQxWUJHl3roQkH0nyllrrp1dvllJ+JsmvJXlrkq9P8sNJ3jPIgKWUr0zyb9KEJJ9PcrLW+kvrtO0l+YpBxgMAANjtFhaamSTXE5L0u3y5ef6bvzk5eLDb2mBQQ7OYayllX5Ifak9rku/pD0mSpNb6+STfk+TP20s/UEp55YBD/5Mkq31MrxeStOOv1Fr/44DjAQAA7GonTjSv2wxiaSm5665u6oEuDU1QkmbtkZvb49+stf7e1RrVWv84yWqYMZ7k27c6YCnlliTf1Z7+X7XWX95qXwAAAHvB4483C7dea02SzVhZSR591G44DJ9hCkq+re/4wxu07b//tgHG/N5c+W/wzwboBwAAYE84c2bw2SSrlpeb/mCYDFNQ8rq+40c2aHtxneeu11/uO/6tUsorSynvK6XMl1I+V0r5bCnl90opP11K+boBxgEAABgJ588PPptk1cpK0x8Mk2FazLU/iHhmg7Z/kGQlSS/Ja0sppdZatzDm0fbzM0luSfKrabYg7vf17c+7Syl/v9b6k1sYBwAAYCQsLHTb31NPddsfDGqYgpIv6zv+5LUa1lpfKKV8Nskr0vwaXpbkc9czWCllPMmXtqcrSR5s+1tI8vNptiR+RZo1UN6WJpR5fylludb6T65nLAAAgFGxvNxtf88/321/MKhhevXmi/uOP7+J9v0bUb18C+O9ou/4y9vzDyf5hlrrj9Zaf7nWeqbW+vYkp/ravr+U8ur1Oi2lvKuUcrGUcvG5557bQlkAAMBeNj+fnD6dTE4m4+NJKc3n5GRzfacXPx0b67a/m27qtj8Y1DAFJTfa2l/7nyW5q92C+EVqrT+X5rWcJBlL8u71Oq213ldrPVprPXrzzTev1wwAAOBFFhaSN74x+ZZvSe67L3niiSuzN5aXm/P77mvuv/GN3b8Cs1kTE932d9tt3fYHgxqmoKT/1Zkv2kT7/X3Hf7aF8dY+869qrZ+6Rvv7+o7fsoXxAGB7nD+f3HrrxqvhbbYdADfc7Gxy6FAyN5csLq6/WOrKSnN/bq5pPzt7Y+tMkuPHk16vm756vaY/GCbDFJT8ad/xK6/VsJSyL8mXtKcvJPnzLYz3ufbZVR/ZoH3/TjwyTwCGw/nzyTvekTz7bPP58MObaycsARgas7PJ9PS1A5K1VgOT6ekbH5acOtW8CtSFsbGmPxgmwxSUfKzv+NYN2r46zeKqSfLkVna8aZ95su/SZzZ4pP/+l67bCgBulNXwY3GxOV9cTO6886VhydXaCUsAhsLCQnLyZHL58sZtr+by5eb5p5/utq5rOXw4OXJk8FklvV5y++3NzBgYJsMUlFzqOz66bquX3r+0bquNPd53/CXrtmr0hyMbhSoAsL3Whh+r1oYl12onLAHYcSdOJEtLg/WxtJTcdVc39WzWuXODzyoZH08eeKCbeqBLwxSU/Hrf8Vs3aPu2vuMPDzDmh/qOv2mDtv33P7ZuKwDYbuuFH6tWw5L3v3/jdsISgB3z+OPJY49t/nWb9aysJI8+emN3w5mYSGZmkv37N257Nfv3N88fPNhtXdCFYQpKzidZ3U/3LaWUb7hao1LKVyT57vb080k+OMCYH0yy+qfHd5ZSrrU2yrv6jgcJZwBgMCdPrh9+rFpcTN73vs21O3myu9oA2LQzZwafTbJqebnp70aamkrOnk0OHNj8azi9XtP+7NnmeRhGQxOU1FpfSPKj7WlJ8gullFf0tymlfFGS+5O8rL30M+vtVFNKOVtKqe3PPeuM+adJ/lF7+iVJzrVjrO3rXUm+sz398yQ/u+lfGAB0bWam+VPmRjYKSZIrf1oF4IY7f37w2SSrVlZ2ZoLg1FQzk+XYsWaWyHqBSa/X3D92LLl0SUjCcNu30wWs8bNpAok3JXl9kt8tpfxcko+nWcD1+5NMtm0/muQfdDDmTyR5e5p1T96e5FIp5efbMV+R5Nvb66vurrU+95JeAOBGOX48efDBa79WsxkHDiQPPZTccUdnpQGweQsL3fb31FPd9rdZExPJhQtNYHLmTBPYPPVU8vzzyU03Jbfd1vzWdeqUhVvZHcoWNozZVu0skg8kefM1mn0kyTtrrZ+4Rj9nk3xve/q+Wus912h7c5LZJHdcY8zLSd5da73/Gm1e5OjRo/XixYubbQ4A12ejtUquRUgCsONK6b6/L3yh2z5hlJVSHqm1vmQzmaF59WZVrfXTSd6SZh2Sh5L8YZLlJH+U5LfSrBVy7FohyRbGfC5NMDOVZt2S32/H/EySR5P8eJKvvZ6QBAC23erMks28htNPSAIwFMbGuu3vppu67Q/2qqGbUTJKzCgB4IZ4//s3t3Br0oQk99yTvOc9214WANc2OZk88US3/X30o931B6Nu18woAQCuw/nzmw9JkqbdPfckDz+8nVUBsAnHj29+t5iN9HpNf8DgBCUAsFttdY2SxcXkzjuFJQA77NSpZHy8m77Gxpr+gMEJSgBgNxpkIddEWAIwBA4fTo4cGXxWSa+X3H67HWWgK4ISANhtBg1JVglLAHbcuXODzyoZH08eeKCbegBBCQDsPidPbn7h1o0sLibT0wOXBMDWTEwkMzPJ/v1be37//ub5gwe7rQv2MkEJAOw2MzMbhyCru9tspt3MTGelAXD9pqaSs2ebr+TNvobT6zXtz55tnge6IygBgN3m+PHkwQfXD0EOHEgeeqjZAnijdg8+aJsEgCEwNZXMzyfHjjWzRNYLTHq95v6xY8mlS0IS2A6CEgDYjdYLS1ZDkjvu2LidkARgqExMJBcuJHNzyd13J5OTzW42pTSfk5PN9bm5pp3XbWB7lFrrTtcwso4ePVovXry402UAMMr6F3ZdG5Jcq52QBADY40opj9Raj669bkYJAOxmqzNGbrll/ZBkbTshCQDAuvbtdAEAwICOH0+eeaa7dgAAe5gZJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAjLLz55Nbb20+u2gHADDiBCUAMKrOn0/e8Y7k2Webz4cf3lw7YQkAsIcJSgBgFK2GH4uLzfniYnLnnS8NS67WTlgCAOxhghIAGDVrw49Va8OSa7UTlgAwIubnk9Onk8nJZHw8KaX5nJxsrs/P73SFDJtSa93pGkbW0aNH68WLF3e6DAD2kvXCj34HDiQ/8iPJ+963cbsHH0yOH+++TgDYZgsLyYkTyWOPJUtLycrKS9v0ek1ocuRIcu5cMjFx4+tk55RSHqm1Hn3JdUHJ9hGUAHDD3Xprs9bIRg4cuHZIsuqWW5Jnnhm0KgC4oWZnk5Mn1w9I1loNTGZmkqmp7a+P4bBeUOLVGwAYJTMzTQiykc2EJAcOJGfPDlwSANxIs7PJ9HTzW91mQpKkabe42Dw3O7ud1bEbCEoAYJQcP968LrOZsORaDhxIHnooueOOTsoCgBthYaGZSXL58taev3y5ef7pp7uti91FUAIAo2bQsERIAsAudeJE87rNIJaWkrvu6qYedidBCQCMoq2GJUISAHapxx9vFm7d7Os261lZSR591G44e5mgBABG1fHjze42mw1LDhxI7rlHSALArnTmzOCzSVYtLzf9sTcJSgBgVJ0/v/EWwP0WF5ug5OGHt7MqANgW588PPptk1cpK0x97k6AEAEbR+fPJO96x+ZBk1eJicuedwhIAdp2FhW77e+qpbvtj9xCUAMCo2WpIskpYAsAutLzcbX/PP99tf+weghIAGCWDhiSrhCUA7DJjY932d9NN3fbH7iEoAYBRcvLk5kKSzSzwuriYTE8PXBIA3AgTE932d9tt3fbH7iEoAYBRMjOzcQiyurvNZtrNzHRWGgBsp+PHk16vm756vaY/9iZBCQCMkuPHkwcfXD8EOXAgeeih5D3v2bjdgw/6UyIAu8apU8n4eDd9jY01/bE3CUoAYNSsF5ashiR33LFxOyEJALvM4cPJkSODzyrp9ZLbb08OHeqmLnYfQQkAjKK1IcjakORa7YQkAOxS584NPqtkfDx54IFu6mF3EpQAwKhaDUFuueXqIcnV2glJANjFJiaa5bX279/a8/v3N88fPNhtXewu+3a6AABgGx0/njzzTHftAGDITU01nydPJktLycrKxs/0es1MkpmZK8+zd5lRAgAAwEiZmkrm55Njx5pZIuutW9LrNfePHUsuXRKS0BCUAAAAMHImJpILF5K5ueTuu5PJyWY3m1Kaz8nJ5vrcXNPO6zas8uoNAAAAI+vQoeTee3e6CnYTM0oAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKPn/2Lv7MMmu+j7w38MICbWMbSwLe2PMNEMgGYywwB1rwctGzRIDnskSr22BHYRnbF5i/LJ+ibwbe/1oJrGzz8qO8To4YOzQg4UdEHgN654gOYGeTaJ4FbcQIEG8CMQM4BcQBMxLSxo0nP3j3sqUerq6arqqumqqPp/nqafOvfWre85Tt1+qv33rHAAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAGBgd92VvOpVyf79ySWXJKU09/v3N/vvumvSIxzORZMeAAAAADD97r03ue665L3vTR58MDlz5uxjp08nf/qnyT33JG98Y3LVVclNNyX79k1uvDvlihIAAABgWzffnFx5ZXL77cnGxsNDkm5nzjSP3357U3/zzbs7zlFwRQkAAADQ0803J4cOJfffP/hzOoHJoUPN9rXXjmNk4+GKEgAAAGBL996bHD58fiFJt/vvb57/0Y+OdlzjJCgBAAAAtnTddc18JMN48MHkJS8ZzXh2g6AEAAAAOMf7399M3NprPpJBnTmT3HnnhbMajqAEAAAAOMfrXjf81SQdp083x7sQCEoAAACAc6ytDX81SceZM83xLgSCEgAAAOAc99472uN95COjPd64CEoAAACAc5w+PdrjffnLoz3euAhKAAAAgHNcfPFoj/fIR472eOMiKAEAAADOsW/faI/3xCeO9njjIigBAAAAzrG8nOzZM5pj7dnTHO9CMJVBSWm8qJSyWkr5RCnlwVLKX5RS3lVKeVkp5aJdGMPXlVL+spRSu26L4+4XAAAApsE/+AfJJZeM5lgXX9wc70IwdUFJKeUxSf5tkjcnOZDkm5JcnOQbkzwnyW8lub2U8vgxD+VXk3zDmPsAAACAqfS0pyVXXTX8VSV79iRPf3py5ZWjGde4TVVQUkq5OMk70gQiSfLxJL+Q5PuTXJ/kP7f7n5HknaWUrx7TOP5Okh9M8pUkD4yjDwAAAJh2N900/FUll1ySvOlNoxnPbpiqoCTJjyR5dtt+T5JvrbX+Yq31zbXWX0kTkNzaPv6UNCHKSJVSLkvym+3mbyT55Kj7AAAAgAvBvn3Jykpy6aU7e/6llzbPf8ITRjuucZqaoKSdd+Tn282a5KW11s9219RaH0jy0iRfanf9eCnl8hEP5ReTPCHJn3WNBwAAAObStdcmx44lCwuDfwxnz56m/tix5vkXkqkJStJ83OaKtv2uWusHtiqqtX4qzfwlSXJJkheOagCllG9P8hPt5o/XWr8wqmMDAADAheraa5O77kquvrq5SqRXYLJnT/P41Vcnd9994YUkyXQFJd/Z1b6lT233488fReellEcm+ZdpXpN31Fr/YBTHBQAAgFmwb19y223J7bcnr3xlsn9/s5pNKc39/v3N/ttvb+oupI/bdBv7Mrvn4ald7Tv61K73eN4w/lF7rC8m+bERHRMAAABmypVXJr/xG5MexfhM0xUlT+5qn+xT+4kkZ9r2k0opZZiOSyn7k/xcu/nztdZPDHM8AAAA4MI0TUHJ13a1P71dYa31oSSfbzcvSnLZTjstpTwiyW+nme9kPclrdnqs9nivKKWsl1LW77vvvmEOBQAAAOyyaQpKvqqr/cAA9fd3tR89RL8/muRZaa5QeUWt9StDHCu11tfXWpdqrUtXXHFF/ycAAAAAU2OagpJdV0p5fJJ/2m7+Wq31zkmOBwAAAJisaQpKvtjVftQA9Zd2tXe6jO9r01zJcirJDTs8BgAAADAjpiko+VxX+/LtCkspFyX56nbzoSRfOt/OSikvSfJd7eaP1lrP+xgAAADAbJmm5YE/lKSzyvJimqs8enlckj1t+55aa91Bfz/c3v9lkqeXUp7eo+5ruto/VkrpBDq/VWv95A76BQAAAKbUNAUldyd5XtteSvL/bFO7tOl5O9FZUvgbk/yTAZ/zM13t1SSCEgAAAJgh0/TRm1u72s/rWdV4flf7ljGMBQAAAJhD0xSUrCW5r20/t5TyLVsVlVIem+TF7eYDSd6xk85qrdfUWku/Wx7+EaAndD323p30CwAAAEyvqQlKaq0PJfmldrMk+Z1SymO6a0opj0ryxiSXtbteU2v9zFbHK6UcK6XU9nZkTMMGAAAAZsg0zVGSNMv1fk+SZyd5RpL3lVJ+M8mH00zg+sNJ9re1H0zyi5MYJAAAADCbpiooqbWeLqW8MMnbkjwnyTdn6zDkPUm+u9b6V7s5PgAAAGC2Tc1HbzpqrZ9N8tw085AcT/LnSU6nWWHm3UlekeTqWuvHJjZIAAAAYCZN1RUlHbXWmuQt7W2nxziU5NAIxrI47DEAAACAC8PUXVECAAAAMCmCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAObKXXclr3pVsn9/csklSSnN/f79zf677pr0CJmkiyY9AAAAANgN996bXHdd8t73Jg8+mJw5c/ax06eTP/3T5J57kje+MbnqquSmm5J9+yY3XibDFSUAAADMvJtvTq68Mrn99mRj4+EhSbczZ5rHb7+9qb/55t0dJ5PnihIAAABm2s03J4cOJfffP/hzOoHJoUPN9rXXjmNkTCNXlAAAADCz7r03OXz4/EKSbvff3zz/ox8d7biYXoISAAAAZtZ11zXzkQzjwQeTl7xkNONh+glKAAAAmEnvf38zcWuv+UgGdeZMcuedVsOZF4ISAAAAZtLrXjf81SQdp083x2P2CUoAAACYSWtrw19N0nHmTHM8Zp+gBAAAgJl0772jPd5HPjLa4zGdBCUAAADMpNOnR3u8L395tMdjOglKAAAAmEkXXzza4z3ykaM9HtNJUAIAAMBM2rdvtMd74hNHezymk6AEAGCG3XVX8qpXJfv3J5dckpTS3O/f3+y31CUwy5aXkz17RnOsPXua4zH7Sq110mOYWUtLS3V9fX3SwwAA5tC99ybXXZe8973N0phbrfqwZ08Tmlx1VXLTTaP/zyvApL3//ckzn5lsbAx/rEsvTW6/PbnyyuGPxXQopdxRa13avN8VJQAAM+bmm5s38rff3vxx0GtpzDNnmsc7b/xvvnl3xwkwbk97WhMGD3tVyZ49ydOfLiSZF4ISAIAZcvPNyaFD2wckm3UCk0OHhCXA7LnppubquWFccknypjeNZjxMP0EJAMCMuPfe5PDh5P77d/b8++9vnv/Rj452XACTtG9fsrLSfHRmJy69tHn+E54w2nExvQQlAAAz4rrrmvlIhvHgg8lLXjKa8QBMi2uvTY4dSxYWBv8Yzp49Tf2xY83zmR+CEgaztpYsLjb3o6gDAEbq/e9vJm4d9OM2vZw5k9x5p9VwgNlz7bXNz7arr26uEukVmOzZ0zx+9dXJ3XcLSeaRoIT+1taSgweTU6ea+xMnBqsTlgDArnnd64a/mqTj9OnmeACzZt++5LbbmkmsX/nKZqn0iy9ulk6/+OJm+5WvbB6/7TYft5lXlgceo5lYHrgTfnSvp7WwkBw/nlxzTf+61VWLjQPALti/P/nTPx3t8T74wdEdDwCmjeWBOX9bhR9Js33gwNkrS7arc2UJAOyKe+/d/vFrspaPZjHXZPvfy526x93j9zcA80lQwtZ6hR8dnbDkxhv71wlLAGDsTp/u/dg1WctqDmYxp7Kag/nbOdG37g8e8vsbgPkkKGFrhw/3Dj86NjaSo0cHqzt8eHRjAwDOcfHFW+/vhB+Xpfl9fVk2cjwHzglLtqrzzw4A5pGghK2trDRzjPTTLyRJzq6pBQCMzb595+7bHH50bA5LetW5MhSAeSQoYWvLy81ErIOEJdvZauJXAGDklpcfvtRlz/Cj1QlLrs+N29YJSwCYN1a9GaOZXfVmUEISANg1739/8sxnnv2V/dEsZjGn+j7vS1noHZJ027s3OXlyuEECwBSx6g07s9MrS4QkALCrnva05Kqrzl5Vcjgr+VL6//4eKCTxMVoA5oighP6Wl5Mbbhg8LFlYSI4cEZIAwC676abkkkua9oks52BWBwpLtuWfHwDMGUEJ/a2tDba6TcfGRhOUnDgxzlEBAJvs29fMx37ppc320GGJkASAOSQoYXs7naNkYyM5cEBYAgC77Nprm0/JLCw0H8PZcVgiJAFgTglK6G2YiVwTYQkATMi11yZ33ZVcfXVzdcm/37Oco7lh8LDEx2gBmGOCErY2bEjSISwBgInYty+57bbk9tuTXzm4lqPl6GATtyY+RgvAXBOUsLXDhwcLSQaZ4HVjIzl0aOghAQDn78pPr+Un/83BXFp9jBYABiEoYWsrK/1DkM5luYPUrayMbGgAwIB8jBYAzpughK0tLyerq71DkM4Eb9df379udbU5HgCwe3yMFgB2RFBCb73Cks2z4G9XJyQBgMnwMVoA2BFBCdvbHIL0WipwqzohCQBMjo/RAsCOCErorxOC7N27dUiyVZ2QBAAmy8doAWBHSq110mOYWUtLS3V9fX3SwwAA5tlWc5VsdYVorzohCQAzqpRyR611afN+V5QAAMwyH6MFgPMiKAEAmHU+RgsAA7to0gMAAGAXLC8nJ0+Org4AZpQrSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUojqF/AgAAIABJREFUAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGhNZVBSGi8qpayWUj5RSnmwlPIXpZR3lVJeVkq5aIR9Pb6U8spSyu+WUu4upXy+lHK6lHJfKeU/lFL+cSnl8aPqDwAAAJheIwscRqWU8pgkb0vynE0PfWN7e06SHymlfHet9WND9vX2JP9jkrLFw1/f3r4jyc+WUv63WuuvDNMfAAAAMN2mKigppVyc5B1Jnt3u+niS1yf5cJLHJfmhJPuTPCPJO0spz6y1fn6ILp+asyHJnyRZS/KhJJ9v+/ueNEHJJUl+uZRySa31l4boDwAAAJhiUxWUJPmRnA1J3pPkubXWz3YeLKW8JsnbkzwvyVOS/EKS64fo74Ekv5Hkn9da/78tHn91KeUnk7y63T5SSnlrrfVDQ/QJAAAATKmpmaOknXfk59vNmuSl3SFJktRaH0jy0iRfanf9eCnl8iG6fXat9cd6hCSdPn8tye+3mxcl+ftD9AcAAABMsakJStLMPXJF235XrfUDWxXVWj+V5M3t5iVJXrjTDjcHMdt4a1f7yp32BwAAAEy3aQpKvrOrfUuf2u7Hnz+GsWz2ha72pbvQHwAAADAB0xSUPLWrfUef2vUezxuX7j5O7UJ/AAAAwARMU1Dy5K72yT61n0hypm0/qZSy1fK+I9HOnXK4a9fxcfUFAAAATNY0BSVf29X+9HaFtdaH0izhmzQTrF42rkEl+YdJ/mbbvit9gpJSyitKKeullPX77rtvjMMCAAAARm2agpKv6mo/MED9/V3tR494LEmSUspykn/Sbj6U5JW11q9s95xa6+trrUu11qUrrrhiu1IAAABgykxTUDJVSil/M81qNxe1u36u1vrHExwSAAAAMGbTFJR8sav9qAHqu1ef+ULPqh0opTwhyb9Jcnm769dqrb88yj4AAACA6TNNQcnnutqX96zKf51g9avbzYeSfGlUgyilfHOSdyd5XLvrdbXWnxrV8QEAAIDpNU1ByYe62ot9ah+XZE/bvqfWWkcxgFLKX0sTknT6f0OSV43i2AAAAMD0m6ag5O6u9lKf2u7H7+5ZdR5KKd+YJiT56+2u303y8lGFMAAAAMD0m6ag5Nau9vP61D6/q33LsB2XUq5I8q4kf6Pd9ZYkP9hvhRsAAABgtkxTULKW5L62/dxSyrdsVVRKeWySF7ebDyR5xzCdllK+Lsm/TfKUdtf/leQltdYzwxwXAAAAuPBMTVBSa30oyS+1myXJ75RSHtNdU0p5VJI3Jrms3fWaWutntjpeKeVYKaW2tyM9ar4myR8leVq76/9O8uJ2LAAAAMCcuWjSA9jktUm+J8mzkzwjyftKKb+Z5MNpJnD94ST729oPJvnFIft7Z5Jva9t/nmZekgOllO2es1Fr/aMh+wUAAACm0FQFJbXW06WUFyZ5W5LnJPnmbB2GvCfJd9da/2rILp/Z1f5raeYm6edU+q/KAwAAAFyApuajNx211s8meW6aeUiOp7nS43SST6ZZleYVSa6utX5sYoMEAAAAZtJUXVHS0S7J+5YMdoVHr2McSnKoT822n7EBAAAA5svUXVECAAAAMCmCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKAAAAAFqCEgAAAICWoAQAAACgJSgBAAAAaAlKmC5ra8niYnM/ijoAAAA4D4ISpsfaWnLwYHLqVHN/4sRgdcISAAAARkRQwnTohB8bG832xkZy4MC5YclWdcISAAAARkRQwuRtDj86Nocl29UJSwAAABgBQQmT1Sv86OiEJTfe2L9OWAIAAMCQSq110mOYWUtLS3V9fX3Sw5hui4vNXCP9LCz0Dkm67d2bnDw57KgAAACYcaWUO2qtS5v3u6KEyVpZaUKQfgYJSRYWkmPHhh4SAAAA80tQwmQtLyerq4OFJdtZWEiOH0+uuWYkwwIAAGA+CUqYvGHDEiEJAAAAIyIoYTrsNCwRkgAAADBCghKmx/JycsMNg4clCwvJkSNCEgAAAEZGUML0WFtLjh4dbOLWpKk7ciQ5cWKcowIAAGCOCEqYDmtrycGDg4ckHRsbyYEDwhIAAABGQlDC5O00JOkQlgAAADAighIma9iQpENYAgAAwAgISpisw4cHC0kGmeB1YyM5dGjoIQEAADC/BCVM1spK/xCks7rNIHUrKyMbGgAAAPNHUMJkLS8nq6u9Q5CFheT48eT66/vXra42xwMAAIAdEpQweb3Ckk5Ics01/euEJAAAAIyAoITpsDkE2RySbFcnJAEAAGBEBCVMj04Isnfv1iHJVnVCEgAAAEbookkPAB5meTk5eXJ0dQAAAHAeXFECAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAACtqQxKSuNFpZTVUsonSikPllL+opTyrlLKy0opF42hz8tKKT9dSrmtlPKpUsoDpZRTpZS3lFKeN+r+AAAAgOkz8sBhWKWUxyR5W5LnbHroG9vbc5L8SCnlu2utHxtRn09v+9y36aHHt7drSym/l+RwrfX0KPoEAAAAps9UBSWllIuTvCPJs9tdH0/y+iQfTvK4JD+UZH+SZyR5ZynlmbXWzw/Z594k70zyDe2u/5TkTUk+neTKJK9IcnmSH0jylSTXDdMfAAAAML2mKihJ8iM5G5K8J8lza62f7TxYSnlNkrcneV6SpyT5hSTXD9nnr+VsSPKGJC+vtX6l3f5XpZTXJfn3aa4seUkp5c211uND9gkAAABMoamZo6Sdd+Tn282a5KXdIUmS1FofSPLSJF9qd/14KeXyIfr81iR/r938WJIf7QpJOn1+LE2A03Fkp/0BAAAA021qgpI0c49c0bbfVWv9wFZFtdZPJXlzu3lJkhcO0eeLutqvb4OYrbwzzcd/kmSplPLEIfoEAAAAptQ0BSXf2dW+pU9t9+PPH3eftdaa5NauXVbBAQAAgBk0TUHJU7vad/SpXe/xvIGVUh6RZmLYJHkoyfvG3ScAAAAw3aYpKHlyV/tkn9pPJDnTtp9USik76O9xSRba9p/VWh/qU3+qq/3knlUAAADABWuagpKv7Wp/ervCNtToLAt8UZLLxtlf6zM9nvswpZRXlFLWSynr99133w6GBQAAAEzKNAUlX9XV7jWparf7u9qPnpb+aq2vr7Uu1VqXrrjiil5lAAAAwBSapqBkkuqkBwAAAABM3jQFJV/saj9qgPpLu9pfGLK/S3tWja4/AAAAYMpNU1Dyua725dsVllIuSvLV7eZDSb40zv62qPlczyoAAADggjVNQcmHutqLfWofl2RP276n1rqTj858IslG53ht+LKdvV3tD/WsAgAAAC5Y0xSU3N3VXupT2/343T2rtlFr/UqS/9xuXpTkW8fdJwAAADDdpikoubWr/bw+tc/vat8y7j5LKWXT47f2qgUAAAAuXNMUlKwlua9tP7eU8i1bFZVSHpvkxe3mA0neMUSfN3e1X1lK6TWJ7AuS/PW2vV5r/cgQfQIAAABTamqCklrrQ0l+qd0sSX6nlPKY7po2yHhjksvaXa+ptX5mq+OVUo6VUmp7O9Kjz/cleXu7+fgkrymlPOw1KaU8Pslru3ZteSwAAADgwtdvAtPd9tok35Pk2UmekeR9pZTfTPLhNBO4/nCS/W3tB5P84gj6/Mkkz0zyDe3xn1pKuSnJZ5JcmeSVObvize/WWo+PoE8AAABgCk1VUFJrPV1KeWGStyV5TpJvztZhyHuSfHet9a9G0OepUsoL2j73Jbm6vW32e0l+aNj+AAAAgOk1NR+96ai1fjbJc9PMQ3I8yZ8nOZ3kk0neneQVSa6utX5shH3emeRpSX4myR8n+XSSB5N8PMlbk7yg1vr3a62nR9UnAAAAMH1KrXXSY5hZS0tLdX19fdLDAAAAADYppdxRa13avH/qrigBgF23tpYsLjb3o6gDAOCCJSgBYL6trSUHDyanTjX3J04MVicsAQCYSYISAOZXJ/zY2Gi2NzaSAwfODUu2qhOWAADMJEEJAPNpc/jRsTks2a5OWAIAMHMEJQDMn17hR0cnLLnxxv51whIAgJli1ZsxsuoNwJRaXGzmGulnYaF3SNJt797k5MlhRwUAwC6y6g0AdKysNCFIP4OEJAsLybFjQw8JAIDpICgBYP4sLyerq4OFJdtZWEiOH0+uuWYkwwIAYPIEJQDMp2HDEiEJAMBMEpQAML92GpYISQAAZpagBID5tryc3HDD4GHJwkJy5IiQhN2xttZMPtxvZaVB6wCAvgQlAMy3tbXk6NHBJm5NmrojR5ITJ8Y5Kji7jPWpU819r6+5zXXCEgAYiqAEgPnV+QNz0JCkY2MjOXBAWML4bP7a7PU1t1WdsAQAhiIoAWA+7TQk6RCWMC69vjY3f81tVycsAYAdE5QAMH+GDUk6hCWMWr+vzc7X3I039q8TlgDAjpRa66THMLOWlpbq+vr6pIcBwGaLi818Dv0sLAwWpuzdm5w8OeyowNcmAOyiUsodtdalzftdUQLA/FlZ6b/KTWd1m0HqVlZGNjTm3CBfm8lgIcnCQnLs2NBDAoB5IygBYP4sLyerq73/IF1YSI4fT66/vn/d6mpzPBiFfl+bg+p8DVvGGgDOm6AEgPnU6w/SzX9gblcnJGEchg1LhCQAMBRBCQDza/MfpL3+wNyqTkjCOO00LBGSAMDQBCUAzLfOH6R7927/B2Z3nZCE3bC8nNxww+BhSWdeHSEJAAzFqjdjZNUbAGDHdrKMtStKAGBgVr0BALhQ7CQkSZr6AweSEyfGMiwAmAeCEgCAabLTkKRDWAIAQxGUAABMi2FDkg5hCQDsmKAEAGBaHD48WEgyyASvGxvJoUNDDwkA5o2gBABgWqys9A9BOqvbDFK3sjKyoQHAvBCUAABMi84y1L1CkM6qNtdf37/OMtYAsCOCEgCAadIrLNm89O92dUISANgxQQkAwLTZHIJsDkm2qxOSAMBQBCUAANOoE4Ls3bt1SLJVnZAEAIZ20aQHAABAD8vLycmTo6sDAPpyRQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACjNfaWrK42NyPog4AAGCMBCXA+KytJQcPJqdONfcnTgxWJywBAAAmRFACjEcn/NjYaLY3NpIDB84NS7aqE5YAAAATIigBRm9z+NGxOSzZrk5YAgAATICgBBitXuFHRycsufHG/nXCEgAAYJeVWuukxzCzlpaW6vr6+qSHAbtrcbGZa6SfhYXeIUm3vXuTkyeHHRUAAMDDlFLuqLUubd7vihJgtFZWmhCkn0FCkoWF5NixoYcEAAAwKEEJMFrLy8nq6mBhyXYWFpLjx5NrrhnJsAAAAAYhKAFGb9iwREgCAABMiKAEGI+dhiVCEgAAYIIEJcD4LC8nN9wweFiysJAcOSIkAQAAJkZQAozP2lpy9OhgE7cmTd2RI8mJE+McFQAAQE+CEmA81taSgwcHD0k6NjaSAweEJQAAwEQISoDR22lI0iEsAQAAJkRQAozWsCFJh7AEAACYAEEJMFqHDw8WkgwywevGRnLo0NBDAgAAGJSgBBitlZX+IUhndZtB6lZWRjY0AACAfgQlwGgtLyerq71DkIWF5Pjx5Prr+9etrjbHAwAA2CWCEubD2lqyuNjcj6KO7fUKSzohyTXX9K8TkgAAABMgKGH2dSYXPXWque81OejmOmHJcDaHIJtDku3qhCQAAMCECEqYbZtXYOm1kspWdcKS4XVCkL17tw5JtqoTkgAAABNUaq2THsPMWlpaquvr65Mexvzabpna7qsb+tX5wx0AAGDmlFLuqLUubd7vihJm03bhR3L2ypIbb+xf58oSAACAueGKkjFyRckELS42c430s7DQOyTptndvcvLksKMCAABgSriihPmystJ72dlug4QkCwvJsWNDDwkAAIDpJyhhNvVadvZ89VqpBQAAgJkkKGF2DRuWCEkAAADmjqCE2bbTsERIAgAAMJcEJcy+5eXkhhsGD0sWFpIjR4QkAAAAc0hQwuxbW0uOHh1s4takqTtyJDlxYpyjAgAAYAoJSphta2vJwYODhyQdGxvJgQPCEgAAgDkjKGF27TQk6RCWAAAAzB1BCbNp2JCkQ1gCAAAwVwQlzKbDhwcLSQaZ4HVjIzl0aOghAQAAMP0EJcymlZX+IUhndZtB6lZWRjY0AAAAppeghNm0vJysrvYOQRYWkuPHk+uv71+3utocDwAAgJknKGF29QpLOiHJNdf0rxOSAAAAzBVBCbNtcwiyOSTZrk5IAgAAMHcEJcy+Tgiyd+/WIclWdUISAACAuXTRpAcAu2J5OTl5cnR1AAAAzCRXlAAAAAC0BCUAAAAALUEJAAAAQEtQAgDAYNbWksXF5n4UdQAwhQQlAAD0t7aWHDyYnDrV3J84MVidsASAC4ygBACA7XXCj42NZntjIzlw4NywZKs6YQkAFxhBCQAAvW0OPzo2hyXb1QlLALiACEoAANhar/CjoxOW3Hhj/zphCQAXiFJrnfQYZtbS0lJdX1+f9DAAAHZmcbGZa6SfhYXeIUm3vXuTkyeHHRUAjEQp5Y5a69Lm/a4oAQBgaysrTQjSzyAhycJCcuzY0EMCgHETlAAAsLXl5WR1dbCwZDsLC8nx48k114xkWAAwToISAAB6GzYs6Q5J1taaj/OYqwSAKSYoAQBgezsNSzaHJAcPNnOemNgVgCkmKAEAoL/l5eSGGwYPSxYWkiNHHh6SdOYysQoOAFNMUAIAQH9ra8nRo4NN3Jo0dUeOJK9+9dZLBwtLAJhSghIAALa3+YqQQW1sJD/9072fJywBYApNZVBSSnl+KeUtpZRTpZQHSimfKqXcVkr5qVLKZSPs54pSyktLKW8opdxZSvlcKeXLpZTPlFL+pJTyz0op+0fVHwDABWenIcmgNjaSw4fHc2wA2IGLJj2AbqWUS5KsJPn+TQ9d0d6eleRHSyn/U631/UP29etJXpVkzxYPf117W0ryk6WUVyf5X2qtZ4bpEwDggjLukCRp5jI5dmx8xweA8zRVQUmSNyZ5Udv+TJLXJ7krydcneUmSb0/yxCS3lFKurrV+fIi+npKzIckHkry77etzSR6b5ECSF6S56uZnknxNkpcP0R8AwIXl8OHxhySdVXEAYEqUWuukx5AkKaW8MMnb282PJXl2rfVjXY8/IslvJ+lcm/m2Wuv3DdHfrUnuS/LqWusdPWq+N8m/ytlA6X+otb570D6Wlpbq+vr6TocIADBZ47yiREgCwISVUu6otS5t3j9Nc5Qc6Wr/SHdIkiS11q8k+dE0IUqSfG8p5alD9PfiWutLeoUkbZ9vS/J/du36wSH6AwC4sCwvJ6urvZcEXlhIfvVXB18yuPt5QhIAptRUBCWllCcluardvKfW+q+3qqu13p/kt7p2XbvTPmutnx2w9K1d7St32h9MzNpasrjYf0WBQesAmC+9wpJO2PFTP5XccMPgYcnCQrNssJAEgCk1FUFJkud1tW/tU3tLV/v5YxjLZl/oal+6C/3B6HQumT51qrk/cWKwOmEJAN02hyXdV4SsrSVHjw7+8ZyNjSYo6fU7CQAmbFqCku6P0PT8KEzrvUk6q888pZRSxjOk/6p7bKfG3BeMzubPlW9sJAcOnPvGdKs6YQkAm3XCkr17Hx6S7GQOk16/kwBgCkxLUPLkrvbJ7QprrQ8l+bN287Ik3zSmMXV0r3RzfMx9wWj0euO6+Y3pdnXCEgA2W15OTp4cLiTpEJYAMKWmJSj52q72pweo/0yP545UKeXFSZ7bbn4yyRsGeM4rSinrpZT1++67b1xDg976vXHtvDG98cb+dcISALYyqtVwhCUATKGpWB64lPKhJE9qN59Ua/1wn/rbkjyr3XxWrfWPxzCmpyT5f5M8ut11ba31rds85RyWB2YiFhebuUb6WVgY7A3u3r3Nfw8BoMPvGgBmQK/lgS86jwO8LMnjRjGYWuuR7R4eRR/DKKV8Y5I/zNmQ5F+cb0gCE7OyMth/+QZ547qwkBw7NpJhATBDBvld01nd5siR/nUrK6MeIQDs2MBBSZKXJbl6RP0e2bT9xa72ICvLdNd8oWfVDpRSvi7JHyXZ1+56W5KfGGUfMFadyfaGvSS6e0UDAOjW73dN9++QpaXt61ZXm+MBwJSYljlKPtfVvnyA+u6az/WsOk+llK9JE5Jc2e76wyQ/UGs90/tZMIU2L+N4voQkAPTT63fN5t8h29UJSQCYQgMHJbXW/7bWWkZx2+LwH+pqL243jlLKRTm70s2XcnYFnKGUUh6d5NYk39buujXJ99VavzyK48Ou22lYIiQBYFCbf9f0+h2yVZ2QBIApNS1XlNzd1T5nIpVNrkqyp21/sI5gNtpSylcleWfOfrTo3Un+Xq31wWGPDRO1vJzccMPgYUnn8+RCEgAG1QlB9u7dPmjvrhOSADDFzmeOknG6tav9vD61z+9q3zJsx6WUhSSrSb6j3fXvkvzdWusDwx4bJm5tLTl6dPC5SjY2mqDkb/0tYQkAg1teHmzVmkHrAGCCpuKKklrrPUnubDefVEp5wVZ1pZRHJXl5166bh+m3Pd47kvztdtd/THKg1jrEDJgwJdbWdjah68ZGcuBAcuLEWIYFAAAwzaYiKGkd7Wq/tpTy+O4HSymPSPIbSTr731Zr7f7ITnftkVJKbW/HetRcnOT3kzy33XV7khfUWr+4VT1cUHYaknQISwAAgDk1LR+9Sa31HaWUtyR5UZK9Se4opfxmmvlLLk/y0iTf3pb/RZKfHrLLY0m+q21/IclrkzynlK3mmn3YON8+ZL8wXsOGJB2dsMTErgAAwByZmqCk9YNJapIXJ/n6JD+/Rc1HknxPrfXjQ/b1rK72o9MEJ4PYPkmBSTt8eLCQZGGhf93GRnLokM+TAwAAc2OaPnqTWuuDtdbvT/KCJG9N8vEkDyb5dJI/TnMVybfWWt83uVHClFtZ6b/KTWd1m0HqVlZGNjQAAIBpV0awui49LC0t1fX19UkPg3m03cdvFhbOfpymX53lGwEAgBlVSrmj1rq0ef9UXVECjMjychNybL5ipDsk6VcnJJlPa2vJ4mJzP4o6AAC4wAhKYFZtDkE2hyTb1QlJ5lPnCqNTp5r7Xqseba4TlgAAMEMEJTDLOiHI3r3br17TXSckmU+bP4bVa4noreqEJQAAzBBzlIyROUqAC4I5bQAAmEPmKAHgXNuFH8nZK0tuvLF/nStLAACYAa4oGSNXlABTb3GxmWukn4WF3iFJt717k5Mnhx0VAACMnStKADjXysq5qx5tZZCQZGEhOXZs6CEBAMAkCUoA5lmvJaLPV69VlQAA4AIjKAGYd8OGJUISAABmiKAEgJ2HJUISAABmjKAEgMbycnLDDYOHJQsLyZEjQhIAAGaKoASAxtpacvToYBO3Jk3dkSPJiRPjHBUAAOwqQQkATUhy8ODgIUnHxkZy4ICwBACAmSEoAZh3Ow1JOoQlAADMEEEJwDwbNiTpEJYAADAjBCUA8+zw4cFCkkEmeN3YSA4dGnpIAAAwSYISgHm2stI/BOmsbjNI3crKyIYGAACTICgBmGfLy8nqau8QZGEhOX48uf76/nWrq83xAADgAiYoAZh3vcKSTkhyzTX964QkAADMCEEJAOeGIJtDku3qhCQAAMwQQck8W1tLFheb+1HUARe2Tgiyd+/WIclWdUISAABmTKm1TnoMM2tpaamur69Pehhb614StNd/jreq80cRAAAAM6CUcketdWnzfleUzKPu8CNp7g8cSE6c6F938KArSwAAAJhZgpJ5szn86NgclmxXJywBAABgRglK5kmv8KOjE5bceGP/OmEJAAAAM8gcJWM0dXOULC4mp071r1tY6B2SdNu7Nzl5cthRAQAAwK4zRwnJysrZJT23M0hIsrCQHDs29JAAAABgmghK5klnSc9BwpLtbLdKDgAAAFzABCXzZtiwREgCAADADBOUzKOdhiVCEgAAAGacoGReLS8nN9wweFiysJAcOSIkAQAAYKYJSubV2lpy9OhgE7cmTd2RI8mJE+McFQAAAEyUoGQera0lBw8OHpJ0bGwkBw4ISwAAAJhZgpJ5s9OQpENYAgAAwAwTlMyTYUOSDmEJAAAAM0pQMk8OHx4sJBlkgteNjeTQoaGHBAAAANNEUDJPVlb6hyCd1W0GqVtZGdnQAAAAYBoISubJ8nKyuto7BFkIacN3AAAR9ElEQVRYSI4fT66/vn/d6mpzPAAAAJghgpJ50yss6YQk11zTv05IAgAAwIwSlMyjzSHI5pBkuzohCQAAADNMUDKvOiHI3r1bhyRb1QlJAAAAmHEXTXoATNDycnLy5OjqAAAA4ALnihIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAlqAEAAAAoCUoAQAAAGgJSgAAAABaghIAAACAVqm1TnoMM6uUcl+SU5Mex3n6+iSfnvQgmAjnfj457/PJeZ9fzv18ct7nk/M+n5z387O31nrF5p2CEh6mlLJea12a9DjYfc79fHLe55PzPr+c+/nkvM8n530+Oe+j4aM3AAAAAC1BCQAAAEBLUMJmr5/0AJgY534+Oe/zyXmfX879fHLe55PzPp+c9xEwRwkAAABAyxUlAAAAAC1BCQAAAEBLUAIAAADQEpTMqVLK80spbymlnCqlPFBK+VQp5bZSyk+VUi4bYT9XlFJeWkp5QynlzlLK50opXy6lfKaU8iellH9WStk/qv7mTWm8qJSyWkr5RCnlwVLKX5RS3lVKeVkp5aIx9HlZKeWn26+XT7VfP6far6fnjbo/zrWb572U8vhSyitLKb9bSrm7lPL5UsrpUsp9pZT/UEr5x6WUx4+qP3qbxPf7FmP4ulLKX5ZSatdtcdz9zrtJnftSyp5SyveVUt5cSvlwKeWL7c+Ae0op7yyl/Gwp5Unj6JuJ/Y4/UEr5vfYcf7H9ef/pUsp/LKX801LKE0fdJ432++2ppZRDpZR/Xkr541LKRtfP2iNj6tf7ugnb7XPvvd2Aaq1uc3RLckmS30tSt7l9OMnTRtDXryd5qE9fNcmZJL+SZM+kX58L6ZbkMUne1ee1vSPJ40fY59OTfKRPn7+b5OJJvz6zetvN857k7Um+MsD38ANJ/uGkX5tZvk3i+73HOI5t0e/ipF+fWb5N6ty3P+/fM8D3/69N+jWaxdtun/ckX59kbYDz/WCSn5306zOLtyS/3+e1PzKGPr2vm4Lbbp577+0Gv439v09MnTcmeVHb/kya5aPuSvML8iVJvj3JE5PcUkq5utb68SH6ekqSPW37A0ne3fb1uSSPTXIgyQvSXNn0M0m+JsnLh+hvbpRSLk7yjiTPbnd9PM25/HCSxyX5oST7kzwjyTtLKc+stX5+yD73Jnlnkm9od/2nJG9K8ukkVyZ5RZLLk/xAmh/A1w3TH+eawHl/apLStv8kzZvoDyX5fNvf9yT5jjQB7C+XUi6ptf7SEP2xhUl8v/cYx99J8oNpvr9PJ3nUqPvg4SZ17kspz0rz8/6r211/kuQPk3y03f7mtt/vGrYvzrXb5729MuWdSZbaXQ8kuSnJe5N8Ns35/rtJ/rskFyf5P0opX6y1/oud9smW9mza/i9p3quP5aot7+umym6ee+/tBjXppMZt925JXpizKeGpbPovRJrA4g1dNW8dsr9b0/zA/bZtar43yZe7+nzOpF+nC+GW5H/ues3uSPKYTY8/KsktXTW/PII+/6DreP8yySM2Pf749uuqU3Ng0q/TrN12+7wnuTvJa5L8jW1qfrKrvy8nefKkX6dZu03i+32LMVyW5N72+L+e5GRXf4uTfo1m9Tahn/XfkOYPpZrk/iQv3qZ2T5L/ZtKv06zdJvCz/rquY30syd4edS/vqrsvyUWTfq1m6Zbk55L87+174ye0+w51veZHRtyf93VTctvNc++93Xm8VpMegNsunuzkzq4v+u/qUXPpph+KTx2iv8cMWPcrXf29cdKv07TfklyU5FPt6/WVJN/So+6xSb6Ys5fPXT5En9/adY5OJXlUj7rv6qr7k0m/VrN0m9B5H/R7+G1d5/3opF+rWbpN4rz3OP6r22N/IsmjIyiZ2XOf5M1d5/ZFk34d5u02oZ/1b+o656/qU7veVXvlpF+vWb9lfH8se1835bcxnnvv7Qa8mcx1TrSTrV3Vbt5Ta/3XW9XVWu9P8ltdu67daZ+11s8OWPrWrvaVO+1vjjwnyRVt+1211g9sVVRr/VSaN7xJc/ncC4fo80Vd7dfXWh/oUffONJcGJ8mSSd9GatfPu+/hqTCJ7/eHKaV8e5KfaDd/vNb6hVEdm23t+rlvL8X/vnbz39Va37LTY7Fjk/ief2xX+54+tR/qao9s8n92nfd1c8p7u8EJSuZH96zVt/apvaWr/fwxjGWz7jfdl+5Cfxe67+xq39Kz6tzHhzmXA/VZmwi6++vLbOmjM4nzPijfw+Mz0fNeSnlk2kuyk7yj1voHozguA5nEuf/BnH1v+NtDHIedm8R5/2RXu9+cCJ3Hz+ThoQkXFu/r6Gfu39sJSubHU7vad/SpfW+aX4BJ8pRSStmueAS6x3ZqzH3NgvM5l+s9njewUsoj0kwalzSrGL1v3H2ypV097+fJ9/D4TPq8/6P2WF9M8mMjOiaDmcS5/++72u8upVxeSjlaSrmra2ngD7TLVz55iH7obRLn/R1d7f+1vbLoHKWUl+XshK831Vr/yxB9MiHe1zGguX9vZ9Wb+dH9hubkdoW11odKKX+WZhKny5J8U5rPpY9L90o3x8fYz6wY+FymOW9n0ky496RSSmn/O3A+HpdkoW3/Wa31oT713T9MvZEend0+7wNpV0s43LXL9/BoTey8l1L2p5lgLv9/e/cbK0dVxnH8+ygpRCi1bdCKbW0VhVSlFogIxggVIpUoElK5KhGSSisi8Q++0DbRW7XWQEwwQfmjIbfUxlRapGItRVqVF4KmtKJNNW0xaBFp2kYKtLWl8PjinO3OvXdnZ+/s7sz2zu+TTO6ZuWfP2eyzs3v2zJlzgEXu3s3vARmujNjXfgTvB95CWLJy0pA8M+J2g5l93d1vzVGPpCsj7qsJE3teSVjh5u9mdi+DV735GGHVG2Lem3LUI71B7TppSm27QB0l1fH6RHpvC/n3ETpKao/tSgPZzPqAS+LubsKqO9Jcy7GMnV4vAOMJ5/vJhCvDXakv2pfyWGlP0XFv1VeBs2L6r1T0y7SLSol7vOL4E8LcB5sIM+RLsQqNvZmdCIyLu68Av4rl/YPw3bwz7l9BuM3jtcAtZnbE3X8wkrqkqcLPeXd3M5sLfIvQATKWsDTsUJuBbwC/7lbnuxRC7TrJorYduvWmSk5JpNMmbEo6lEiP7fBzAcDMZgB3Jw7d5O4HulHXKFN0LHvuvVNRPRcHM7sY+HbcPQoscPdXu1FXhZUV9xuBCwk/mOcrrqUoOvbjE+kJcf8hwqorS9x9pbvf6e5zgM8l8t5iZpNz1CeNlXLOu/srwK3AYuBwSrZzgK8BF+StR3pCz7UnpHeobVenESU9JN772ZHGhrv3N/t3J+poh5lNAh6k/oH7I3e/r8lDpDeU/t6R3mBmZxFmRK99jyx098dKfErSIWY2Ffhu3L3N3beU+XykMEMvnr0IXNNoNQx3v8vMLgWuAsYANwCLuv8UpVvM7DLCKjrjgN8BS4E/En4kTyWshrSIcPvNBjPrc/c1jUuT44jadXKM2naDqaOkt3wWOL9DZfUP2U8OxWxl5uJkno4uBWlmE4CHgbfGQ6uoLz0p2V6ifuXvJLKH2bYby55571Rc0XFPZWbTgd8AE+Oh2zRPQdeUEfc7CFcc/wl8M2cZ0r6iYz/0Mfe7+76GOYO7CR0lEG6hVUdJZxR+zsdOkrWEzrJVwNVDriDvBJaa2Qbg0fi8lpvZO9z9uTx1SqnUrpNh1LYbTrfeVMfzifTE1FyN8zyfmmuEzGwcoZOkth73g8Cn4pBPaU3LsYyTMZ0ad48CeW5t6on3jhQe97SypwAbqY9+u9Pdv9yp8mWYQuNuZtcAH4m7N+p2yFIVfc6/FB9bszkjf3JFlrflqE8aK+Oz/vuE3wSvAl9MG2bv7n8CBuLuWOC6nPVJudSuk0HUtmtMI0p6iLu/r4vFbwcujulpwO/TMsYv3jfH3QPAvzvxBMxsLGEt9nPjofXAXHd/uRPlV8h2YHpMT6P5kl2TCRPuAezIOfnaM8BBwgzpk83shIwZ0pPLCm7PUZ80VnTchzGz0wlfpNPioXuAz3eibElVdNznxb/PAbPMbFZKvnGJ9BfMrNZ4/rG7785RrwxXaOzjhJ47qC8buj/jIcn/j0vNJSNVaNzjVeQZcXebuz+b8ZBHgAUx/d6R1ic9Qe06OUZtu3QaUVIdWxPp81JzBe+h/sW7rRM/sszsFGAd9VuLNgIfd/e0CcMk3Uhimfz/1tRcTcQrS3+LuycAM7tdpzRUaNyHivMKbQTOiIdWANdr5YOuKzruFv9OIkzmlrYlVz64OXH8TTnrleHKOOf/kkifmporSHaOZHWqSOuKjvvpifQLLeRPxvrknHVKidSukxq17ZpTR0l1rE+kP5yR97JE+qF2Kzaz1xGWGXx/PPQo8NFGE8RJS8qIZUt1mpkN+f/6tLwyYmWew6cBG4Az46GVwLVVnQW9YKXFXUpXRuzXJdLnpuYa/n9dZe6couOe7ByZ0kL+5OiCZnPYSG9Tu67i1LbLpo6SinD3HUBt5YK3m9mcRvnM7CTg+sShn7dTbyxvDfDBeOgPwOXufrCdcivut8CemL7EzN7ZKJOZvQHoi7v/I8Qhr+T7YEGMayNzqPdKb3L3p9qoUwYrI+61yZcfoT40+37CShiaV6gYhcbd3S9yd8vaGHw7wPTE//6cp15pqIxzfg1hSD7AlWbWbP6C+Ym0OuY6p+i476S+ROwUM7swI39fIr0pZ51SPrXrKkxtu9aoo6RaFifSd8QlII8xs9cAPyQsAwewyt0bDrEzs34z87gNpOQZA6wmzIYPYZm5Oe6eNYO7NBHvI10Sdw2418zGJ/PEL7xl1IfF3p62eoGZDSRi2Z9S55PAA3F3KnB7fL8ky5lKWC2jpmFZkk8ZcU9Mvnx2PPRLoC/jXmbpoDLiLr2hpM/65wkTe0K49WZ5ox9QZjaf+oo3Bxj82S9tKDru7n6IwZ0sy4a2DxNlLQQ+FHcP0+bFNOkOteuqS227ztJkrhXi7mvMbCVwNWHo5BNmdhfhfsOJwGeoT8z1H+ArbVY5QH31hBcJH7azwyi+ps/zgaYZBMJreRXwAeAc4MkYy52Eyd3mUZ+QbxvwnQ7U+SXgAuCNsfx3mdlywtDbdxMmd6tdfVzh7ms7UKcMVnTc11EfXv8s4d7VyzPO4YPu/nCb9cpgZZzv0hvKiP33CFeRz4t/t5rZPbHO8cAV8XjNAnffM6wUaUfRcV8IXApMIIwe2GpmPwUeBw4RfkjPpT7PHMBid3+mzXolIU6sO2/I4bMT6dlxwYWk1e6+hXzUrusRBcdebbtWubu2Cm3AicDPAG+y7QRmZpTTn8g/kJLn6Yx6Gm5lv0bHy0ZosG7IeD2fAKZmlDOQyN+fkXcW8FRGnSuAMWW/PqN1KzLuec5f4OmyX6PRuJVxvmeUk/x8n1b26zOat5I+608j3ALSrM6DhPvZS3+NRuNWdNwJHTLbW/iMfxlYVPbrMxo34KIc37nX5Y15zKt2XQ9sRcY+Rz2Vbdvp1puKcffD7v5JwtWg+4BdhOGTe4HHCKNIZnoYkic9zN3/S7itqQ9YS+gVPgLsJsxgPR84393/1cE6txB6uG8mvF/2Et4/uwjvpznu/ml3P9KpOmWwMuIu5VPcq6ukz/o9wGzgE4TbMnbFOvcT5jtbCpzh7ss6VacMVnTc3X0z4fv9WuAXhM7Qg8BRwgiDxwmjjc509yUpxchxRu06kXQWe5ZERERERERERCpPI0pERERERERERCJ1lIiIiIiIiIiIROooERERERERERGJ1FEiIiIiIiIiIhKpo0REREREREREJFJHiYiIiIiIiIhIpI4SEREREREREZFIHSUiIiIiIiIiIpE6SkREREREREREInWUiIiIiIiIiIhE6igREREREREREYn+DzIC1RJQMf9NAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 這裡我們建立一個30*2的矩陣x\n",
    "# 30代表我們有30個點，2代表為2維空間(平面)\n",
    "x=np.zeros((30,2))\n",
    "# 這裡我們建立一個長度30的向量y\n",
    "# 用來儲存我們的標記資料是圈圈(+1)還是叉叉(-1)\n",
    "y=np.zeros(30)\n",
    "# 因為有30筆資料，所以跑30個迴圈\n",
    "for i in range(0,30): \n",
    "    # 標記y前半段0~14為圈圈(+1)，後半段15~29為叉叉(-1)\n",
    "    # 也就是圈圈15個點，叉叉15個點\n",
    "    f=0.3\n",
    "    if(i<15):\n",
    "        y[i]=1\n",
    "        x[i,0],x[i,1]=random.random()+f,random.random()+f\n",
    "    else:\n",
    "        y[i]=-1\n",
    "        x[i,0],x[i,1]=random.random()-f,random.random()-f\n",
    "    # 這裡我們隨機給定我們資料的位置\n",
    "    # random.random()就是從0到1隨機產生一個浮點數\n",
    "    # 而f可以決定我們圈圈和叉叉兩組數據分的越開或是越近\n",
    "    \n",
    "# 設定我們輸出圖片的大小\n",
    "plt.rcParams[\"figure.figsize\"] = (18,18)\n",
    "#畫出圈圈的點，bo：b代表藍色、o代表圈圈、marksize為大小\n",
    "plt.plot(x[:15,0],x[:15,1],\"bo\",markersize=20)\n",
    "#畫出叉叉的點，rX：r代表紅色、X代表叉叉、marksize為大小\n",
    "plt.plot(x[15:,0],x[15:,1],\"rX\",markersize=20)\n",
    "# 設定x和y軸座標的字體大小\n",
    "plt.xticks(fontsize=30)\n",
    "plt.yticks(fontsize=30)\n",
    "#畫出來\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 定義我們一些會需要用的方程式\n",
    "##### (1) Sign function (2) 找錯誤點的方程式 (3) 計算錯誤點個數的方程式 (4) 繪圖方程式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 這裡我們定義我們的sign function\n",
    "def sign(w,x):\n",
    "    # np.dot(w,x)=w0*x0+w1*x1+w2*x2\n",
    "    # 所以當大於0，我們回傳一，反之則-1\n",
    "    if(np.dot(w,x)>0):\n",
    "        return 1\n",
    "    else:\n",
    "        return -1\n",
    "# 這裡我們定義我們尋找分類錯誤點的方程式\n",
    "def search_error(w,x):\n",
    "    # 我們用while迴圈跑\n",
    "    while True:\n",
    "        # 這裡我們從0~29隨機挑一個數字\n",
    "        # 也就是我們30個點隨機挑一個\n",
    "        i=random.randint(0,29)\n",
    "        # 這裡我們check他有沒有分類錯誤\n",
    "        if(sign(w,x[:,i])!=y[i]):\n",
    "            # 找到錯的之後，我們分別把這個點\n",
    "            # 的位置和是否為圈圈或叉叉記下來\n",
    "            err_x=x[:,i]\n",
    "            err_y=y[i]\n",
    "            # 然後結束我們的while迴圈\n",
    "            break\n",
    "        # 沒有分類錯誤，就繼續隨機挑直到找到錯為止\n",
    "    # 最後回傳我們的錯誤點資訊\n",
    "    return err_x,err_y\n",
    "# 這裡我們定義計算錯誤點數的方程式\n",
    "def compute_error(w,x):\n",
    "    # 初始化\n",
    "    err=0\n",
    "    # 檢查全部的點\n",
    "    for i in range(0,30):\n",
    "        # 如果分類錯了，就+1個\n",
    "        if(sign(w,x[:,i])!=y[i]):\n",
    "            err+=1\n",
    "    # 回傳錯誤個數\n",
    "    return err\n",
    "# 這裡我們定義畫圖方程式\n",
    "def plot_diagram(w,x):\n",
    "    plt.rcParams[\"figure.figsize\"] = (18,18)\n",
    "    plt.plot(x[1,:15],x[2,:15],\"bo\",markersize=20)\n",
    "    plt.plot(x[1,15:],x[2,15:],\"rX\",markersize=20)\n",
    "    # 這裡是畫出分割線的算法\n",
    "    # 我們知道分割線滿足 w0*x0+w1*x1+w2*x2=0\n",
    "    # 所以 x2=-(w1/w2)*x1-(w0/w2)*x0\n",
    "    # 斜率 = -w1/w2、截距 = -w0/w2\n",
    "    m=-w[1]/w[2]\n",
    "    b=-w[0]/w[2]\n",
    "    plt.plot([-0.3,1.3],[m*-0.3+b,m*1.3+b],\"k-\",linewidth=6)\n",
    "    plt.xticks(fontsize=30)\n",
    "    plt.yticks(fontsize=30)\n",
    "    # xlim就是限制我們圖輸出的x座標\n",
    "    # ylim就是限制我們圖輸出的y座標\n",
    "    plt.xlim([-0.3,1.3])\n",
    "    plt.ylim([-0.3,1.3])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 執行我們感知器演算法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15\n",
      "9\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n"
     ]
    },
    {
     "data": {
      "image/png": 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nm/Opqe2oDGD/GrkZJaWUXinljaWU6VLKD5dSfqWUslhKqe3Pg9s07heXUv77UsqVUsp/KqV8tpTyYinlp0opb9+OMQEA2L8WFpKzZ28vJOl3/Xrz/AsvdFsXwH43ijNKZpL8hZ0csJRyd5IPJln9pufr25+pUsq/SHK21rq0k7UBALA3nTnTrEeyFTduJPffn1y50k1NAIzgjJIkvVXn/znJc9s1WCnlziQfys2Q5FeT/LdJ/lKSH0jy2+31v5Tkn29XHQAA7B/PPNMs3LreeiSDWl5OnnrKbjiw29jharSNYlDyq0l+MMm3Jhmvtb4myfdv43j/OMkfbo9/LMmba60/XGv932ut35PkG5J8or1/fynlvm2sBQCAfeDCha3PJlmxtNT0B4y+hYXknnuSN70pefjhZkerpfadhZUdrh5+uLl/zz1Ne3beyAUltdbvr7X+nVrrB2ut2/rGZSnljyX58+3pJ5L8N7XWz6+q5xNJ3tN36cHtrAkAgL1vdnbrs0lWLC83/QGjzQ5Xu8fIBSU77Nv6jh+utX52nXYfSvKx9vhUKeXY9pYFAMBe1vW/Ej//fLf9Ad1a2eHqVgHJav07XAlLdtZ+D0q+qe/459drVGutSX6h75JdcAAA2LSljrcHePnlbvsDumOHq91n3wYlpZQ/kGSiPf1ckl/b4JGrfcdv3JaiAADYFw4d6ra/gwe77Q/oTpc7XLEz9m1QkuR1SY60x/++1vq5Ddq/2Hf8ddtTEgAA+8H4+MZtbscxL4bDSLLD1e60n4OSL+87/q0B2v923/GXr9sKAAA2MDmZ9Hrd9NXrNf0Bo8cOV7vTfg5K/mDf8XqLuPbrf6PsS9ZrVEp5dynlainl6ksvvbTp4gAA2LseeCAZG+umr0OHmv6A0WOHq91pPwcl/WpnHdX6cK31VK311B133NFVtwAA7CEnTiQnT259Vkmvl9x9d7OFKDB67HC1O+3noOQzfceHB2jf3+b3Oq4FAIB95vLlrc8qGRtLHn20m3qA7tnhanfaz0HJ7/Qdv2aA9v1tfmfdVgAAMIDx8eTixeTwIP9kt4bDh5vnjx7tti6gO3a42p32c1DyySSL7fHrSikHNmh/Z9/xR7enJAAA9pOpqeTSpeTIkcFfw+n1mvaXLjXPA6PLDle7074NSmqtn0/yb9vTA0n+2AaPnOo7vrYtRQEAsO9MTTVbfp4+3cwSWS8w6fWa+6dPJ9euCUlgN7DD1e60b4OS1i/0Hb99vUallLLq/i+s1xYAAG7X+Hhy5UoyN5ecO5dMTDRT9ktpPicmmutzc007r9vA7mCHq91pvwclM33H50opX7ROu29O8rXt8dVaq7WGAYCBzM8n5883X3THxpovvmNjzfn58819WHH8ePLQQ8lHPpLcuJF8/vPN50c+0ly3uw3sLna42p32bFBSSrlUSqntz4Nrtam1/lqSn21PX5/kR0opr/hvUkp5fZIf7bu0Zl8AAP0WFpJ77kne9Kbk4YeTZ5+9ufvB0lJz/vDDzf177ul+C0kARoMdrnafjRYw3XGllKNJvnPV5RN9x29dY+HVn6m1PrXJIb87yZuT/OF23DeWUi4n+e0kx5Ocy80db36i1vr4JscBAPaJmZnk7NlmJsDy8vrtlpeTxcXmdYrjx5sdTKw7AbC3rOxwNT2dXL9++8/b4WrnjVxQkmZ3me+9xf23tD/9PpZkU0FJrfXFUso3J/lgkvEkp9uf1f5Fkr+6mTEAgP1jZub2/zK8EphMTzfnwhKAvWXl9/ogIfqKXq+ZSSJE33l79tWb29HORjmR5G8m+ZUkv5XkRpLfSPLTSb651vqXa61Lw6sSABh1CwvNX4I38y+GSfPc2bPJCy90WxcAw2eHq92j1FqHXcOederUqXr16tVhlwEA7JB77mleoxnkXwrX0+s1fzm+cqW7ugAYLfPzyYULyexs8vzzycsvJwcPJseONVsAP/CAhVt3QinlyVrrqdXXR/HVGwCAXeeZZ5Knn95aSJI0zz/1VPOXaH9JBtibVna4YjR59QYAoAMXLjTvnXdhaanpDwDYeYISAIAOzM5ufTbJiuXlpj8AYOcJSgAAOrCw0G1/zz/fbX8AwGAEJQAAHVjqeG+8l1/utj8AYDCCEgCADhw61G1/Bw922x8AMBhBCQBAB8bHu+3v2LFu+wMABiMoAQDowORk0ut101ev1/QHAOw8QQkAQAceeCAZG+umr0OHmv4AgJ0nKAEA6MCJE8nJk1ufVdLrJXffnRw/3k1dAMDtEZQAAHTk8uWtzyoZG0sefbSbegCA2ycoAQDoyPh4cvFicvjw5p4/fLh5/ujRbusCAAZ3YNgFAADsJVNTzefZs8mNG8ny8sbP9HrNTJKLF28+DwAMhxklAAAdm5pK5ueT06ebWSLrrVvS6zX3T59Orl0TkgDAKBCUAABsg/Hx5MqVZG4uOXcumZhodrMppfmcmGiuz8017bxuAwCjwas3AADb6Pjx5KGHhl0FADAoM0oAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKAlKAEAAABoCUoAAAAAWoISAAAAgJagBAAAAKA1kkFJaXxbKeWxUsonSyk3Sin/oZTyS6WUv1ZKObANY95XSvkXpZTnSimfKaUslVJ+q5Ty/5ZSvr+UcqzrMQEAAIDR0nngsFWllK9I8sEkb11166van7cmeU8p5V211k90MN5rk/x0knvXuP2aJG9uf/5mKeXv1Vo/sNUxAQAAgNE0UkFJKeVQkp9L8pb20m8keTjJx5K8LslfTTKR5BuSfKiU8uZa6+9uYbwDST6U5FR76bNJLid5OsmnknxNkv8qyZ9McijJ/1JK+Uyt9X/b7JgAAADA6BqpoCTJe3IzJPlwkrfVWj+1crOU8iNJfjbJ25N8fZK/l+S9Wxjvv87NkOQ3kryl1vriqjYfKKX89TSBTZK8v5TycK31c1sYFwAAABhBI7NGSTu743vb05rkO/pDkiSptX42yXck+f320neVUl6zhWHf3nf8g2uEJCvj/tMkT7anr00zqwUAAADYY0YmKEmz9sgd7fEv1Vp/fa1Gtdb/lOQn29OxJN+yhTG/su/4uQ3afrTv+Iu3MCYAAAAwokYpKPmmvuOf36Bt//13bGHM/9h3/IYN2q7cX84rQxMAAABgjxiloOSNfcdPrtuqcXWd527Xz/Ud/+1Syp1rNSql/LXcXMvkcq31P29hTAAAAGBEjdJirl/Xd/zxDdp+Ms3Mjl6SN5RSSq21bmLMn0nyfyR5V5odbp4tpfx4XrnrzZ9Ls+tN2rbftYlxAAAAgF1glIKSL+87/q1bNay1fq6U8rtJviLNn+GLk3zmdgestdZSyrcm+Z/SBCBfkuTdazT9cJL/Mcn/tclABgAAANgFRunVmz/Yd/zZAdpf7zv+ks0OWmtdTvJDSd6f5MY6zb4hyd9O8uaN+iulvLuUcrWUcvWll17abFkAAADAEIxSUDIUpZR3pHnV5x8k+ZU0WwZ/eZoddd6Q5HvSbEf8J5P8Uinllrvs1FofrrWeqrWeuuOOO27VFAAAABgxoxSU9L8680UDtD/cd/x7mxmwDUkeT/JlST6Y5E/XWn+x1vrpWutSrfVjtdYfSLN18Y22rsullK/azHgAAADAaBuloOR3+o5fc6uGpZQDSb60Pf1cmhkfm/EP0/w3+HySv1Fr/fxajWqtv5rkUnv6JUmmNzkeAAAAMMJGKSj5aN/xXRu0fV2aHW+S5LnNLLBaSjma5Ovb04/UWn9zg0f+dd/xf3m74wEAAACjb5SCkmt9x6c2aNt//9q6rW7tq/uOf3eA9p/uO/7iTY4JAAAAjLBRCkp+oe/47Ru0fUff8c9vcrz+cORrBmh/Z9/xb29yTAAAAGCEjVJQMptkZT/dt5VS/uhajUopX5nk29vTzyb5uU2O97Hc3Ib4a0opf2KD9t/ed3x1k2MCAAAAI2xkgpJa6+eSfF97WpL8eCnlK/rblFK+KMkjufnqy4/UWtec3VFKuVRKqe3Pg2uMdz2vDFkeKaW8fp2+vifJn25PbySZGexPBQAAAOwmB4ZdwCo/muQvJnlLkm9I8mullH+SZvbH65J8Z5KJtu1Hkvz9LY73PUn+TJI/lORrk1wrpTya5P9Lcj3J65N8a5LTfc+8v9b6yS2OCwAAAIygkQpKaq1LpZRvSfLBJG9Ns3bIWmHIh5O8q9b66TXu3c54C6WUP5PkJ5O8Ic3Wv+9pf1b7XJIHa60/sJUxAQAAgNE1UkFJktRaP1VKeVuSqSRnktyd5LVJPpXk19OEGhfbV3W6GO/DpZQT7Xh/vh3vK5McSrPTzXNJnkjyT2utC12MCQAAAIymUmsddg171qlTp+rVq9Z9BQAAgFFTSnmy1npq9fWRWcwVAAAAYNgEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAbGh+Pjl/PpmYSMbGklKaz4mJ5vr8/LArBIBuHBh2AQAAjK6FheTMmeTpp5MbN5Ll5Zv3lpaSZ59NnnsueeSR5OTJ5PLlZHx8ePUCwFaZUQIAwJpmZpLjx5O5uWRx8ZUhSb/l5eb+3FzTfmZmZ+sEgC6ZUQIAwKvMzCTT08n164M/sxKYTE8351NT21EZAGwvM0oAAHiFhYXk7NnbC0n6Xb/ePP/CC93WBQA7QVACAMArnDnTrEeyFTduJPff3009ALCTBCUAAHzBM880C7eutx7JoJaXk6eeshsOALuPoAQAgC+4cGHrs0lWLC01/QHAbiIoAQDgC2Zntz6bZMXyctMfAOwmghIAAL5gYaHb/p5/vtv+AGC7CUoAAPiCpaVu+3v55W77A4DtJigBAOALDh3qtr+DB7vtDwC2m6AEAIAvGB/vtr9jx7rtDwC2m6AEAIAvmJxMer1u+ur1mv4AYDcRlAAA8AUPPJCMjXXT16FDTX8AsJsISgAA+IITJ5KTJ7c+q6TXS+6+Ozl+vJu6AGCnCEoAAHiFy5e3PqtkbCx59NFu6gGAnSQoAQDgFcbHk4sXk8OHN/f84cPN80ePdlsXAOyEA8MuAACA0TM11XyePZvcuJEsL2/8TK/XzCS5ePHm8wCw25hRAgDAmqamkvn55PTpZpbIeuuW9HrN/dOnk2vXhCQA7G6CEgAA1jU+nly5kszNJefOJRMTzW42pTSfExPN9bm5pp3XbQDY7bx6Aw+ZMCAAACAASURBVADAho4fTx56aNhVAMD2M6MEAAAAoCUoAQAAAGgJSgAA2DHz88n5883aJmNjzVonY2PN+fnzzX0AGCZrlAAAsO0WFpIzZ5Knn371dsNLS8mzzybPPZc88khy8mRy+XKzkCwA7DQzSgAA2FYzM81isHNzyeLiK0OSfsvLzf25uab9zMzO1gkAiRklAABso5mZZHo6uX598GdWApPp6eZ8amo7KgOAtZlRAgDAtlhYSM6evb2QpN/1683zL7zQbV0AcCuCEgAAtsWZM816JFtx40Zy//3d1AMAgxCUAADQuWeeaRZuXW89kkEtLydPPWU3HAB2jqAEAIDOXbiw9dkkK5aWmv4AYCcISgAA6Nzs7NZnk6xYXm76A4CdICgBAKBzCwvd9vf88932BwDrEZQAANC5paVu+3v55W77A4D1CEoAAOjcoUPd9nfw4AYNZmeTu+7a+B2dQdsBsG8JSgAA6Nz4eLf9HTt2i5uzs8k735m8+GLz+cQTg7UTlgCwBkEJAACdm5xMer1u+ur1mv7WtBJ+LC4254uLyX33vTosWaudsASANQhKAADo3AMPJGNj3fR16FDT36usDj9WrA5LbtVOWALAKoISAAA6d+JEcvLk1meV9HrJ3Xcnx4+vurFe+LFiJSz5wAc2bicsAaBPqbUOu4Y969SpU/Xq1avDLgMAYCgWFpqAY72MYhBHjiTXriVHj666cdddzVojg3QwSAF33pl8/OObqBCA3aqU8mSt9dTq62aUAACwLcbHk4sXk8OHN/f84cPN868KSZLmxpEjG3cySEhy5Ehy6dLtlgfAHiUoAQBg20xNNRnEkSODv4bT693MLqam1mk0OZk89thgYcmtHDmSPP54cu+9W+sHgD1DUAIAwLaamkrm55PTp5tZIusFJr1ec//06eZ1m3VDkhVbDUuEJACsQVACAMC2Gx9PrlxJ5uaSc+eSiYlmN5tSms+Jieb63FzTbs3Xbday2bBESALAOg4MuwAAAPaP48eThx7quNPJyeR970ve//7B1yR58EEhCQBrMqMEAIDdbXZ28JAkado9+GDyxBPbWRUAu5SgBACA3Wt2NnnnO29/D+LFxeS++4QlALyKoAQAgN1psyHJCmEJAGsQlAAAsPtsNSRZISwBYBVBCQAAu8/Zs4Mv3LqRxcVkenrLJQGwNwhKAADYfS5e3DgEWdndZpB2Fy92VhoAu5ugBACA3WdyMnnssfVDkCNHkscfT9773o3bPfZY0x8ARFACAMButV5YshKS3Hvvxu2EJACsIigBAGD3Wh2CrA5JbtVOSALAGgQlAADsbishyJ13rh2SrNVOSALAOg4MuwAAANiyycnk4x/vrh0A+5YZJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAAtQQkAAABAS1ACAAAA0BKUAAAAALQEJQAAAAzF/Hxy/nwyMZGMjSWlNJ8TE831+flhV8h+dGDYBQAAALC/LCwkZ84kTz+d3LiRLC/fvLe0lDz7bPLcc8kjjyQnTyaXLyfj48Orl/1lJGeUlMa3lVIeK6V8spRyo5TyH0opv1RK+WullG0JeEopvVLKt5ZSfrKU8rFSymdKKb9bSnmulPKhUsrfKqW8YTvGBgAA2A9mZpLjx5O5uWRx8ZUhSb/l5eb+3FzTfmZmZ+tk/xq5GSWllK9I8sEkb11166van7cmeU8p5V211k90OO7dSf55krvXuP0lSb42yTuSfHWS7+5qXAAAgP1iZiaZnk6uXx/8mZXAZHq6OZ+a2o7K4KaRCkpKKYeS/FySt7SXfiPJw0k+luR1Sf5qkokk35DkQ6WUN9daf7eDcf9Ekg8l+dL20r9J8n8meaE9/5p23D+71bEAAAD2o4WF5OzZ2wtJ+l2/3jz/x/94cvRot7VBv5EKSpK8JzdDkg8neVut9VMrN0spP5LkZ5O8PcnXJ/l7Sd67lQFLKX84yb9KE5J8NsnZWutPrtO2l+QrtzIeAADAfnTmTLMeyVbcuJHcf39y5Uo3NcFaRmaNknbdke9tT2uS7+gPSZKk1vrZJN+R5PfbS99VSnnNFof+X5Os9DG9XkjSjr9ca/0PWxwPAABgX3nmmWbh1vXWIxnU8nLy1FN2w2F7jUxQkmbtkTva41+qtf76Wo1qrf8pyUqYMZbkWzY7YCnlziTf2p7+P7XWn9psXwAAAKztwoWtzyZZsbTU9AfbZZSCkm/qO/75Ddr233/HFsb8K7n53+CfbaEfAAAA1jE7u/XZJCuWl5v+YLuMUlDyxr7jJzdoe3Wd527Xn+o7/uVSymtKKe8vpcz3bQ3866WUHy6lfN0WxgEAANi3Fha67e/557vtD/qN0mKu/UHExzdo+8kky0l6Sd5QSim11rqJMU+1n59OcmeSn0mzBXG/r29/3lNK+Tu11h/axDgAAAD71tJSt/29/HK3/UG/UZpR8uV9x791q4a11s8lWdkW+ECSL77dwUopY0m+rD1dTvJYmpBkIcnfTfLtaXbhWXnNp5fkA6WUv7FBv+8upVwtpVx96aWXbrcsAACA2zY/n5w/n0xMJGNjSSnN58REc33Yi58eOtRtfwcPdtsf9Cubm4jRvVLKUpKV/7kfbMOQW7X/90m+uj396tvdjaaU8lVJVj/z80ne1e6u09/2XJKV5YKWkhyrtX5yozFOnTpVr169ulEzAACATVlYaLbdffrpZrHUtdYB6fWa0OTkyeTy5WR8fOfrnJhInn222/4+8pHu+mN/KqU8WWs9tfr6KM0o2Wmr/+y/l+T+1SFJktRa/0ma13KS5FCamSYAAABDMzOTHD+ezM0li4vrL5a6vNzcn5tr2s/M7GydSTI52QQ2Xej1mv5gu4xSUPKZvuMvGqD94b7j39vEeKuf+Ze11t++RfuH+47ftonxAGA0zc4md9218RYCg7YDYNvNzCTT07cOSFZbCUymp3c+LHnggWZWSxcOHWr6g+0ySkHJ7/Qdv+ZWDUspB5J8aXv6uSS/v4nxPtM+u+LDG7Tv34nn2CbGA4DRMzubvPOdyYsvNp9PPDFYO2EJwNAsLCRnzybXr2/u+evXm+dfeKHbum7lxInm1Z+tzirp9ZK7725mxsB2GaWg5KN9x3dt0PZ1aRZXTZLnNrPjTfvMc32XPr3BI/33v2zdVgCwW6yEH4uLzfniYnLffa8OS9ZqJywBGJozZ5r1SLbixo3k/vu7qWdQly9vfVbJ2Fjy6KPd1APrGaWg5Frf8asWU1ml//61dVtt7Jm+4y9dt1WjPxzZKFQBgNG2OvxYsTosuVU7YQnAjnvmmWbh1kFft1nP8nLy1FM7uxvO+Hhy8WJy+PDGbddy+HDz/NGj3dYFq41SUPILfcdv36DtO/qOf37dVhv7UN/xN27Qtv/+R9dtBQCjbr3wY8VKWPKBD2zcTlgCsKMuXNj6bJIVS0tNfztpaiq5dCk5cmTw13B6vab9pUvN87DdRikomU3yUnv8tlLKH12rUSnlK5N8e3v62SQ/t4Uxfy7Jyt/+3lVKudXaKO/uO95KOAMAw3X27Prhx4rFxeT97x+s3dmz3dUGwC3Nzm59NsmK5eXhZN1TU81MltOnm1ki6wUmvV5z//Tp5No1IQk7Z2SCklrr55J8X3takvx4KeUr+tuUUr4oySNJvri99CPr7VRTSrlUSqntz4PrjPk7Sf5he/qlSS63Y6zu691J/mJ7+vtJfnTgPxgAjJqLF5t/mtvIRiFJcvOf+ADYEQsL3fb3/PPd9jeo8fHkypVmy+Jz55KJiWY3m1Kaz4mJ5vrcXNPO6zbspAPDLmCVH00TSLwlyTck+bVSyj9J8rE0C7h+Z5KJtu1Hkvz9Dsb8wSTfnGbdk29Ocq2U8mPtmF+R5Fva6yvO1VpfelUvALBbTE4mjz1269dqBnHkSPL448m993ZWGgC3trTUbX8vv9xtf7fr+PHkoYeGWwOsNlJBSa11qZTyLUk+mOStSb4ma4chH07yrlrrlhdVrbUullL+bJKZJPem2fr3+9Zoej3Je2qtP7HVMQFg6LYalghJAIbi0KFuw5KDB7vrC/aKkXn1ZkWt9VNJ3pZmHZLHk/xmkqUk/zHJL6dZK+R0rfUTHY75UppgZirNuiW/0Y756SRPJfmBJF9ba32kqzEBYOhWwpJBXsPpJyQBGJrx8W77O3as2/5gLxipGSUraq01yU+1P5vtYzrJ9G2O+dPtDwDsD5OTyfveN9jCrUkTkjz4oJAEYEgmJ5PnnutmQdder+kPeKWRm1ECAOyg2dnBQ5Kkaffgg8kTT2xnVQCs44EHkrGxbvo6dKjpD3glQQkA7Fezs5tbo2RxMbnvPmEJwBCcOJGcPLn+lrqD6vWSu+9uFlMFXklQAgD70WZDkhXCEoChuXx567NKxsaSRx/tph7YawQlALDfbDUkWSEsARiK8fHk4sXk8OHNPX/4cPP80aPd1gV7haAEAPabs2cHX7h1I4uLyfT0lksC4PZMTSWXLjW/qgd9DafXa9pfutQ8D6xNUAIA+83FixuHICu72wzS7uLFzkoDYHBTU8n8fHL6dDNLZL3ApNdr7p8+nVy7JiSBjQhKAGC/mZxMHnts/RDkyJHk8ceT975343aPPWZvSYAhGh9PrlxJ5uaSc+eSiYlmN5tSms+Jieb63FzTzus2sLFSax12DXvWqVOn6tWrV4ddBgCsba21SlZCknvv3bidkAQA2MVKKU/WWk+tvm5GCQDsV6tnlqwVkqzXTkgCAOxRghIA2M9WQpA771w7JFmrnZAEANjDDgy7AABgyCYnk49/vLt2AAC7mBklAAAAAC1BCQAAAEBLUAIAAADQEpQAAAAAtAQlAAAAAC1BCQAAAEBLUAIAAADQEpQAAAAAtAQlAAAAAC1BCQAAAEBLUAIAAADQEpQAAAAAtAQlAAAAAC1BCQAAAEBLUAIAAADQEpQAAAAAtAQlAAAAAC1BCQAAAEBLUAIAAADQEpQAAGubnU3uuqv57KIdAMAuICgBAF5tdjZ55zuTF19sPp94YrB2whIAYJcTlAAAr7QSfiwuNueLi8l99706LFmrnbAEANjlBCUAwE2rw48Vq8OSW7UTlgCwy83PJ+fPJxMTydhYUkrzOTHRXJ+fH3aFbKdSax12DXvWqVOn6tWrV4ddBgAMZr3wo9+RI8n73pe8//0bt3vssWRysvs6AWCbLCwkZ84kTz+d3LiRLC+/uk2v14QmJ08mly8n4+M7XyfdKKU8WWs99arrgpLtIygBYFe5665mrZGNHDly65BkxZ13Jh//+FarAoAdMTOTnD27fkCy2kpgcvFiMjW1/fXRvfWCEq/eAACNixebEGQjg4QkR44kly5tuSQA2AkzM8n0dPN/cYOEJEnTbnGxeW5mZjurY6cJSgCAxuRk87rMIGHJrRw5kjz+eHLvvZ2UBQDbaWGhmUly/frmnr9+vXn+hRe6rYvhEZQAADdtNSwRkgCwy5w507xusxU3biT3399NPQyfoAQAeKXNhiVCEgB2mWeeaRZuHfR1m/UsLydPPWU3nL1CUAIAvNrkZLO7zaBhyZEjyYMPCkkA2FUuXNj6bJIVS0tNf+x+ghIA4NVmZzfeArjf4mITlDzxxHZWBQCdmp3d+mySFcvLTX/sfoISAOCVZmeTd75z8JBkxeJict99whIAdo2FhW77e/75bvtjOAQlAMBNmw1JVghLANhFlpa67e/ll7vtj+EQlAAAja2GJCuEJQDsEocOddvfwYPd9sdwCEoAgMbZs4OFJIMs8Lq4mExPb7kkANhO4+Pd9nfsWLf9MRyCEgCgcfHixiHIyu42g7S7eLGz0gBgO0xOJr1eN331ek1/7H6CEgCgMTmZPPbY+iHIkSPJ448n733vxu0ee8zfFgEYeQ88kIyNddPXoUNNf+x+ghIA4Kb1wpKVkOTeezduJyQBYJc4cSI5eXLrs0p6veTuu5Pjx7upi+ESlAAAr7Q6BFkdktyqnZAEgF3m8uWtzyoZG0sefbSbehg+QQkA8GorIcidd64dkqzVTkgCwC40Pt4sq3X48OaeP3y4ef7o0W7rYngODLsAAGBETU4mH/94d+0AYERNTTWfZ88mN24ky8sbP9PrNTNJLl68+Tx7gxklAAAA7HtTU8n8fHL6dDNLZL11S3q95v7p08m1a0KSvUhQAgAAAGlew7lyJZmbS86dSyYmmt1sSmk+Jyaa63NzTTuv2+xNXr0BAACAPsePJw89NOwqGBYzSgAAAABaghIAAACAlqAEAAD4/9m7++C60vs+7N8HIEgQXIQGQRAahuZCK9nVer2x5XKiUTSaWapqJHd34rpOZbfx2ks7kd/i1k6y7TRpZrlN8s82id3GrhUlMdexndhrtbVbbi2nsbGZVpNRQ1myVna30prh0rQCgMslxRfwBQRO/7jn7kIQgHsJ3It7AX4+M5hz7rk/nOcHCRKAL5/zPADUBCUAAAAANUEJAAAAQE1QAgAAAFATlAAAAADUBCUAAAAANUEJAAAAQE1QAgAAAFATlAAAAADUBCUAAAAANUEJAAAAQE1QAgAAAFATlAAAAADUBCUAAAAANUEJAAAAQE1QAgAAAFATlAAAAADUBCUAAAAANUEJAAAAQE1QAgAAAFATlAAAAADUBCUAAAAANUEJAAAAQE1QAgAAAFATlAAAAADUBCUAAAAANUEJAAAAQE1QAgAAAFATlAAAAABd8/LLyY/+aPLww8mePUkpjePDDzeuv/xyrzv8art63QAAAACw85w9mzz5ZPK5zyW3byeLi2+9d+dO8soryZe+lPzCLyTf+q3JL/5i8tBDveu3yYwSAAAAoKNeeCF59NHk059O5ue/OiRZbnGx8f6nP92of+GFre1zNWaUAAAAAB3zwgvJU08lN2+2/znNwOSppxqvP/KRbnTWHjNKAAAAgI44ezY5ceLeQpLlbt5sfP6//bed7eteCEoAAACAjnjyycZ6JJtx+3byvd/bmX42QlACAAAAbNrnP99YuHWt9UjatbiYfPazvdsNR1ACAAAAbNrHPrb52SRNd+407tcLghIAAABg06anNz+bpGlxsXG/XhCUAAAAAJt29mxn7/eHf9jZ+7VLUAIAAABs2p07nb3fwkJn79cuQQkAAACwabt3d/Z+Q0OdvV+7dvVm2PvD5z73uTz88MN529velsnJyTWPhw4dylCvvgMAAACgAx56KHnllc7d7x3v6Ny97oWgpIsWFxfzyiuv5JU2vlPGx8e/JkBZLVSZmJjIrl3+awMAAKC/HD+efOlLnVnQdXCwcb9eKFVV9WbkdZRSSpKPJHkyybcmmUjyRpI/SPLPkzxfVdXdLvdwoB5vctnlt1dVde4e7tHx/3BLKTl48GDLWSpve9vbMj4+nsHBwU63AAAAAF/j859P3vveZH5+8/fauzf59KeTRx/d/L3WUkr5TFVVx77mer8FJaWUsSSfSPKBdcp+N8l3VlV1vot9PJ/k+1dc7nlQci8GBgYyMTHRVqhy4MCBDAxYsgYAAICNe9/7GgHHZmaVDA4m73lP8qlPda6v1WyLoKSUsjvJv0zy/vrSHyX5eJJXkxxJ8gNJHq7f+4Mk762q6moX+vgPk/yLJEtJ7iQZrt/aVkHJvRgcHHzzcZ9WocrY2Fgak34AAADgLWfPNmaBbGZWychI8oUvJG9/e+f6Ws12CUr+yyQ/Xb/83SQfrKrq8rL3h5P8epIP1Zf+blVVT3e4h31JXk7y9iT/IMmfS/Jg/faODUruxdDQ0JqByspr+/fvF6oAAADcR154IXnqqeTmzXv/3L17k+efTz7ykU539bX6PigppexK8uU01iOpkjxaVdXvr1J3KMnZJPuS3E7yJ6uqutTBPn4qyU8k+eM0Zq+8nA0GJd/yLd9SPf/885mdnc3MzMyaxzfeeKNT7fedPXv2tDVLZXJyMqOjo0IVAACAHeCFF5ITJ5Lbt9t7DGdwMNmzJzl1amtCkmTtoKSftk/5QBohSZL89mohSZJUVTVXSvmVJD+YZE+S70jy851ooJTyp5P8F/XLH6+q6tpm/nAfGhrKu9/97pZ1d+7cydzc3KpBysprV65c2XA/vXD79u2cP38+58+3Xk5meHi4rfVUJicn88ADD2xB9wAAAGzERz6SHDuWPPlk8tnPJnfurB6YDA4mu3cn73538ku/1P3HbdrRT0HJn112/skWtZ9MIyhJkg+nA0FJKWUoyT9JMpDkN6qq+l83e8927d69O0eOHMmRI0da1t66dWvNUGXl8erVji/f0lW3bt3KuXPncu7cuZa1+/bta7mVcvM4MjLS/eYBAAD4Kg891FiQ9eWXk499LJmeTv7wD5OFhWRoKHnHOxpbAP/wD3d3d5t71U9ByTcvO/9Mi9oza3zeZvw39b2uJ/nLHbpnxw0PD+fo0aM5evRoy9qbN2+uOitlteP169e3oPvOuXHjRs6ePZuzZ8+2rB0dHW1rlsrk5GSGh4db3g8AAID2Pfpo8rM/2+su2tdPQck3Ljs/16L2QpLFJINJvqGUUqpNLLZSSnk4yV+vX/6NqqoubPRe/WTv3r2ZmprK1NRUy9obN26s+8hP8zgzM5ObG1mRp4euXbuWa9eu5dVXX21Zu3///rZDld27d29B9wAAAGylfgpKvm7Z+evrFVZVdbeUcjXJWBpfw740ZoLcs1LKQJJ/nMZ6J2eS/MxG7rPd7du3Lw899FAeeuihdeuqqsr169fXnZ2yPFS5ffv2Fn0FnfGVr3wlX/nKV/LFL36xZe3Y2FhbocqhQ4cyNDS0Bd0DAACwWf0UlCxfnfNWG/U30whKkmQ0GwxKkvxYkj+TxgyVj1ZVtbTB+yRJSikfTfLRJG09HrPdlFIyOjqa0dHRvPOd71y3tqqqXL16ta1Hf2ZmZrKwsLBFX0VnXL58OZcvX84rr7zSsnZ8fLzlVsqTk5OZmJjIrl399D9LAACA+0s/bQ98J0nzn92Hqqq626L+j5Mcrl8erqrq321gzKNJfj+NkObvVVX111apOZcNbg987Nix6syZM60LSVVVuXLlSluhyuzsbO7eXffbY9sqpeTgwYNt7f4zPj6ewcHBXrcMAACwLW2H7YGv560ZIsNpPUNk77Lzaxsc8+fSCEleS/LMBu9BB5RSMjY2lrGxsbzrXe9at3ZpaSmXL19uuZXy7Oxs5ubmstjOpt19oqqqXLx4MRcvXszLL7+8bu3AwEAmJibaClUOHDiQgYGBLfoqAAAAtq9+Ckqu5K2gZDzrBCWllF1J/kT98m6SG/c6WCnle5P8R/XLH6uq6p7vQW8MDAxkfHw84+PjeeSRR9atXVpayqVLl9qapTI3N5d+mWHVjqWlpTd7b2VwcPDNx31ahSpjY2MppWzBVwAAANB/+iko+WKSt9fnU2nM8ljLkTR2vEmSL21wx5sfrI8zSd5dSnn3GnX7l53/5VLKlfr8H1VV1fovVHqqOetiYmIij7bYmHtxcTGvv/56W+upXLp0aVuFKouLi/nyl7+cL3/5yy1rh4aG1gxUVl7bv3+/UAUAANhR+iko+UKSD9Xnx5L8q3Vqlz9D9IUNjtf86+5tSf5Wm5/zV5edn04iKNlBls+6aGVhYSEXL15cdyvl5vGNN97Ygu47Z2FhIRcuXMiFC613yd6zZ09bs1QmJyczOjoqVAEAAPpePwUlv5W3gogPJfl769R+eNn5J7vWEaxhaGgohw8fzuHDh1vW3rlzJ3Nzc+tupdw8XrlypeX9+snt27dz/vz5nD9/vmXt8PBwW+upTE5O5oEHHmh5PwAAgG7op11vdiX5cpKJJFWSR6uq+v1V6g4lOZtkXxrbCB+pqupSF/s6F7vesEVu3bq1Zqiy8nj16tVet9s1+/bta7mVcvM4MjLS63YBAIBtqO93vamq6m4p5e8k+ek0Hov5p6WUD1ZVdblZU0oZTvILaYQkSfIza4UkpZTnk3x//fLZqqpOdqt36JTh4eEcPXo0R48ebVl78+bNth79mZ2dzfXrrTaR6i83btzI2bNnc/bs2Za1o6Ojbc1SmZyczPDw8BZ0DwAAbGd9E5TUfi7JdyV5f5JvS/J7pZR/mOTVNBZw/cEkD9e1f5Dkb/eiSegHe/fuzdTUVKamplrW3rhxo+VWyjMzM5mZmcnNmze733wHXbt2LdeuXcurr77asnb//v1thyq7d+/egu4BAIB+01dBSVVVd0op35HkE0k+kOTrs3oY8rtJvrOqqq9sZX+wXe3bty8PPfRQHnrooXXrqqrK9evXW26l3AxVbt++vUVfQWd85StfyVe+8pV88YtfbFk7NjbWVqhy6NChDA0NbUH3AADAVuiroCRJqqq6XEr5YJKPJHkyybuTHExyOcnvJ/mVJKeqqrrbuy5hZyqlZHR0NKOjo3nnO9+5bm1VVbl69Wpbj/7MzMxkYWFhi76Kzrh8+XIuX76cV155pWXt+Ph4y62UJycnMzExkV27+u7/dgEAgGX6ZjHXnchirtBQVVWuXLnSVqgyOzubu3d3Zg5aSsnBgwfb2v1nfHw8g4ODvW4ZAAB2rLUWcxWUdJGgBO7d0tJSLl++3HIr5dnZ2czNzWVxcbHXLXfFwMBAJiYm2gpVDhw4kIGBgV63DAAA20rf73oDkDQCgvHx8YyPj+eRRx5Zt3ZpaSmXLl1qa5bK3NxctlMwvLS09GbvrQwODr75uE+rUGVsbCyllC34CgAAYHsyo6SLzCiB/rG4uJjXX3+9rfVULl26tK1ClXsxNDS0ZqCy8tr+/fuFKgAA7FhmlAD3teWzLlpZWFjIxYsX191KuXl84403tqD7zllYWMiFCxdy4cKFlrV79uxpa5bK5ORkRkdHhSoAAOwIghKAFYaGhnL48OEcPny4Ze2dO3cyNze37lbKzeOVK1e2oPvOuX37ds6fP5/z58+3rB0eHm5rPZXJyck85T6SdwAAIABJREFU8MADW9A9AABsjKAEYBN2796dI0eO5MiRIy1rb926tWaosvJ49erVLei+c27dupVz587l3LlzLWv37dvXcivl5nFkZKT7zQMAwDLWKOkia5QAG3Xz5s22Hv2ZnZ3N9evXe91u14yOjrY1S2VycjLDw8O9bhcAgG3EGiUA28jevXszNTWVqamplrU3btxouZXyzMxMZmZmcvPmze4330HXrl3LtWvX8uqrr7as3b9/f9uhyu7du7egewAAtiMzSrrIjBKgn1RVlevXr7fcSrkZqty+fbvXLXfN2NhYW6HKoUOHMjQ01Ot2AQDoAjNKAO5zpZSMjo5mdHQ073znO9etraoqV69ebevRn5mZmSwsLGzRV9EZly9fzuXLl/PKK6+0rB0fH2+5lfLk5GQmJiaya5cfqwAA250ZJV1kRglwP6iqKleuXGkrVJmdnc3du3d73XJXlFJy8ODBtnb/GR8fz+DgYK9bBgC4r601o0RQ0kWCEoCvtrS0lMuXL7fcSnl2djZzc3NZXFzsdctdMTAwkImJibZClQMHDmRgYKDXLQMA7DgevQGg5wYGBjI+Pp7x8fE88sgj69YuLS3l0qVLbc1SmZuby3YK/peWlt7svZXBwcE3H/dpFaqMjY2llLIFXwEAwM5lRkkXmVECsDUWFxfz+uuvt7WeyqVLl7ZVqHIvhoaG1gxUVl7bv3+/UAUAuK+ZUQLAjrV81kUrCwsLuXjx4rpbKTePb7zxxhZ03zkLCwu5cOFCLly40LJ2z549bc1SmZyczOjoqFAFALhvCEoAuK8MDQ3l8OHDOXz4cMvaO3fuZG5ubt2tlJvHK1eubEH3nXP79u2cP38+58+fb1k7PDzc1noqk5OTeeCBB7agewDYei+/nPzczyXT08nZs8mdO8nu3clDDyXHjyc/8iPJo4/2uks6waM3XeTRG4D7x61bt9YMVVYer1692ut2u2bfvn0tt1JuHkdGRnrdLgC0dPZs8uSTyec+l9y+nay21vzgYLJnT/Kt35r84i82whP6n11vekBQAsBqbt682dajP7Ozs7l+/Xqv2+2a0dHRtmapTE5OZnh4uNftAnAfeuGF5MSJtQOSlZqByalTyUc+0v3+2BxrlABAn9i7d2+mpqYyNTXVsvbGjRstt1KemZnJzMxMbt682f3mO+jatWu5du1aXn311Za1+/fvbztU2b179xZ0D8BO98ILyVNPJffy43VxMZmfb3xeIizZrswo6SIzSgDYKlVV5fr16y23Um6GKrdv3+51y10zNjbWVqhy6NChDA0N9bpdAPrQ2bON9Ubm5zd+j5GR5AtfSN7+9s71RWd59KYHBCUA9KOqqnL16tW2Hv2ZmZnJwsJCr1vumvHx8ZZbKU9OTmZiYiK7dpmIC3C/eN/7kk9/ur3HbdYyOJi85z3Jpz7Vub7oLEFJDwhKANjuqqrKlStX2gpVZmdnc/fu3V633BWllBw8eLCt3X/Gx8czODjY65YB2KDPfz5573s3N5ukae/eRuBiN5z+ZI0SAOCelVIyNjaWsbGxvOtd71q3dmlpKZcvX265lfLs7Gzm5uayuJl/pttiVVXl4sWLuXjxYl5++eV1awcGBjIxMdFWqHLgwIEMDAxs0VcBQDs+9rHG4q2dcOdO434/+7OduR9bQ1ACAHTEwMBAxsfHMz4+nkceeWTd2qWlpVy6dKmtWSpzc3PZTjNgl5aW3uy9lcHBwTcf92kVqoyNjaWUsgVfAcD9bXp6c4/cLLe42Lgf24tHb7rIozcAsHmLi4t5/fXX21pP5dKlS9sqVLkXQ0NDawYqK6/t379fqAKwQXv2NGaCdMru3Z2boUJnefQGANiWls+6aGVhYSEXL15cdyvl5vGNN97Ygu47Z2FhIRcuXMiFCxda1u7Zs6etWSqTk5MZHR0VqgAs08mQJEl28JroO5agBADYMYaGhnL48OEcPny4Ze2dO3cyNze37lbKzeOVK1e2oPvOuX37ds6fP5/z58+3rB0eHm5rPZXJyck88MADW9A9QG/t3t3ZsMRO9NuPoAQAuC/t3r07R44cyZEjR1rW3rp1a81QZeXx6tWrW9B959y6dSvnzp3LuXPnWtbu27ev5VbKzePIyEj3mwfogoceSl55pXP3e8c7OncvtoagBACgheHh4Rw9ejRHjx5tWXvz5s22Hv2ZnZ3N9evXt6D7zrlx40bOnj2bs2fPtqwdHR1ta5bK5ORkhoeHt6B7gPYcP5586UudWdB1cLBxP7YXi7l2kcVcAYD13Lhxo+VWyjMzM5mZmcnNmzd73W7X7N+/v+1QZffu3b1uF9jhPv/55L3vTebnN3+vvXuTT386efTRzd+LzltrMVdBSRcJSgCATqiqKtevX2+5lXIzVLm9g7dXGBsbaytUOXToUIYsDABs0Pve1wg4NjOrZHAwec97kk99qnN90VmCkh4QlAAAW62qqly9erWtR39mZmaysIO3YxgfH2+5lfLk5GQmJiaya5cn0oG3nD3bmAWymVklIyPJF76QvP3tneuLzhKU9ICgBADoZ1VV5cqVK18Vnvzmb87kl395NouLM6mq2SQzSWbrj7u9bbhLSik5ePBgW7v/jI+PZ3BwsNctA1vghReSp55KNvLk4969yfPPJx/5SKe7opMEJT0gKAEAtpP1/yhYSnI5bwUnywOUmQwMzObo0Zncvj2bubm5LHZiFcQ+NDAwkImJibZClQMHDmRgYKDXLQOb8MILyYkTye3b7T2GMziY7NmTnDolJNkOBCU9ICgBALaLTk4zf/DBpVy6dKnloz+zs41QZaf+Pjo4OPjm4z6tQpWxsbGUUnrdMrCKs2eTJ59MPvvZ5M6d1QOTwcFk9+7k3e9OfumXPG6zXQhKekBQssL0dCOOPXVq/T2y2q0DADqmVwsXLi4u5vXXX29rPZVLly7t2FBlaGhozUBl5bX9+/cLVaAHXn45+djHGn+u/OEfJgsLydBQ8o53NP5s+eEftrvNdiMo6QFByTLT08kTTzT+mWpkJHnxxeSxx1rXnT4tLAGALtsuW2EuLCzk4sWL626l3Dy+8cYbnW+gT+zZs6etWSqTk5MZHR0VqgCsQVDSA4KS2vLwo2m1sGStOmEJAHTVj/5o8vGPb242SdPgYPJDP5T87M9u/l6bcefOnczNza27lXLzeOXKld4220XDw8NtracyOTmZBx54oNftAmwpQUkPCEqyevjRtDwsaVUnLAGArnn44eSVV9Z+/7FM51RO5ERO5aWs/fO4WXfy6Kk8/9r2+bl969atNUOVlcerV6/2ut2u2bdvX8utlJvHkZGRXrcLsGmCkh6474OS9cKPppGR5JlnkmefbV0nLAGArtizp7FA4Woey3RO54nsy3xuZCSP58X8qzzWsm7f7+zMn9s3b95s69Gf2dnZXL9+vdftds3o6Ghbs1QmJyczPDzc63YBViUo6YH7PiiZmkpee6113chIew9FP/hgcu7cZrsCAFZYawmL5eFH02phyWp1/pEjuXHjxrqP/DSPMzMzubn6nsw7wv79+9sOVXbv3t3rdoH7iKCkB+77oKSdGSXtWm8BWABgU1abUbJq+FFbHpasVycsaU9VVbl+/XrLrZSbocrt27d73XLXjI2NtRWqHDp0KENDQ71uF9jmBCU9cN8HJUlnwhIhCQB01co1StYNP2o3MpJn80yeybPr1glLOquqqly9erWtR39mZmaysLDQ65a7Znx8vOVWypOTk5mYmMiuXbt63S7QhwQlPSAoqW0mLBGSAEDXrdz15t9mKlNp/fjsjYysH5I0eXy2J6qqypUrV9oKVWZnZ3P37t1et9wVpZQcPHiwrd1/xsfHMzg42OuWgS0iKOkBQckyGwlLhCQAsCU+//nkve9968d0OzNK2ubn+bawtLSUy5cvt9xKeXZ2NnNzc1nsxF7SfWhgYCATExNthSoHDhzIwMBAr1sGNkFQ0gOCkhWee6717jZNIyPJyZPJ0093vS0AIHnf+5JPf/qtWSUdCUuEJDvS0tJSLl261NYslbm5uezUvzcGBwfffNynVagyNjaWstaqyUDPCEp6QFCyjBklANDXzp5NHn30q39Ubyos8XOcJIuLi3n99dfbWk/l0qVLOzZUGRoaWjNQWXlt//79QhXYIoKSHhCU1KxRAgDbwgsvJE89lSzfqXZDYYmf32zAwsJCLl68uO5Wys3jG2+80et2u2bPnj1tzVKZnJzM6OioUAU2QVDSA4KS2PUGALaZF15ITpxIbt9+6zGcp/Nc691tmjw+yxa4c+dO5ubm1t1KuXm8cuVKr9vtmuHh4bbWU5mcnMwDDzzQ63ah7whKeuC+D0o6EZI0CUsAYMucPZs8+WTy2c8mf+b2dH5jyYwStq9bt26tGaqsPF69erXX7XbNvn37Wm6l3DyOjIz0ul3YEoKSHrjvg5KpqeS11lsLZmSkvTDF1oIAsKXO/pPp/MkffiJ77np8lvvDzZs323r0Z3Z2NtevX+91u10zOjra1iyVycnJDA8P97pd2DBBSQ/c90FJOzNKmtNzT55sXXf6dHL8eKe7BABW4/FZWNeNGzdabqU8MzOTmZmZ3Fy+8M8Os3///rZDld27d/e6XfgqgpIeuO+DkmT9X7KW//LUqk5IAgBbx+Oz0DFVVeX69estt1Juhiq3b9/udctdMzY21laocujQoQwNDfW6Xe4DgpIeEJTUVvtla7VfmtaqE5IAwNby+Cz0RFVVuXr1aluP/szMzGRhYaHXLXfN+Ph4y62UJycnMzExkV27dvW6XbYpQUkPCEqWWR6CrPcvSyvrhCQAsPU8Pgt9r6qqXLlypa1QZXZ2Nnfv3u11y11RSsnBgwfb2v1nfHw8g4ODvW6ZPiIo6QFByQrT0439Bp9/fv3pt826U6f8UgUAveLxWdgxlpaWcvny5ZZbKc/OzmZubi6Lzb3Bd5iBgYFMTEy0FaocOHAgAwMDvW6ZLhOU9ICgBADY1jw+C/edpaWlXLp0qa1ZKnNzc9mpf08ODg6++bhPq1BlbGwspZRet8wGCEp6QFACAGx7Hp8F1rC4uJjXX3+9rfVULl26tGNDlaGhoTUDlZXX9u/fL1TpI4KSHhCUAAA7gsdngU1aWFjIxYsX191KuXl84403et1u1+zZs6etWSqTk5MZHR0VqnSZoKQHBCUAAAD35s6dO5mbm1t3K+Xm8cqVK71ut2uGh4fbWk9lcnIyDzzwQK/b3ZbWCkrsowQAAEDf2L17d44cOZIjR460rL1169aaocrK49WrV7eg+865detWzp07l3NtbK++b9++llspN48jIyPdb36bM6Oki8woAQAA6A83b95s69Gf2dnZXL9+vdftds3o6Ghbs1QmJyczPDzc63a7yowSAAAA7lt79+7N1NRUpqamWtbeuHGj5VbKMzMzmZmZyc2bN7vffAddu3Yt165dy6uvvtqydv/+/W2HKrt3796C7reGGSVdZEYJAADAzlVVVa5fv95yK+VmqHL79u1et9w1Y2NjbYUqhw4dytDQUK/bTWJGCQAAAHRUKSWjo6MZHR3NO9/5znVrq6rK1atX23r0Z2ZmJgsLC1v0VXTG5cuXc/ny5bzyyista8fHx1tupTw5OZmJiYns2rX1sYUZJV1kRgkAAAD3qqqqXLlypa1QZXZ2Nnfv3u11y11RSsnBgwfb2v1nfHw8g4OD93p/2wNvNUEJAAAA3bS0tJTLly+33Ep5dnY2c3NzWVxc7HXLXTEwMJCJiYm2QpUDBw5kYGDAozcAAACw0wwMDGR8fDzj4+N55JFH1q1dWlrKpUuX2pqlMjc3l+00sWJpaenN3lsZHBzM5OTkmu8LSgAAAOA+0Jx1MTExkUcffXTd2sXFxbz++uttrady6dKlbRWqLC4u5stf/vKa7wtKAAAAgK/SnHWx3syLpoWFhVy8eHHdrZSbxzfeeGMLut8cQQkAAACwYUNDQzl8+HAOHz7csvbOnTuZm5tbdyvl5vHKlStb0P3XEpQAAAAAW2L37t05cuRIjhw50rL21q1ba4YqK49Xr17tWI+CEgAAAKDvDA8P5+jRozl69GjL2ps3b7b16M/s7GyuX7++7r0EJQAAAMC2tnfv3kxNTWVqaqpl7Y0bNzI7O5t3vOMdq74/0OHeAAAAAPrWvn378tBDD635vqAEAAAAoCYoAQAAAKgJSgAAAABqghIAAACAmqAEAAAAoCYoAQAAAKgJSgAAAABqghIAAACAmqAEAAAAoCYoAQAAAKgJSgAAAABqghIAAACAmqAEAAAAoCYoAQAAAKgJSgAAAABqghIAAACAmqAEAAAAoCYoAQAAAKgJSgAAAABqghIAAACAmqAEAAAAoCYoAQAAAKgJSgAAAABqghIAAACAWl8GJaXhu0spp0spF0opt0sp/66U8tullL9YStnVwbGOllJ+qJTyy6WUL5RSrpZS7pRSLpZS/u9Syn9XSjnaqfEAAACA/tWxwKFTSiljST6R5AMr3npb/fGBJD9SSvnOqqrOb3KsX0/y55KUVd4+WH+8L8l/VUr5b6uq+rubGQ8AAADob30VlJRSdif5jSTvry/9UZKPJ3k1yZEkP5Dk4STfluQ3Synvrarq6iaG/Oa8FZL8myTTSb6Y5Go93nelEZTsSfLfl1L2VFX1dzYxHgAAANDH+iooSfIjeSsk+d0kH6yq6nLzzVLKzyT59SQfSvJNSf5mkqc3Md6tJD+b5B9UVfX/rfL+T5VSfiLJT9WvT5ZSfq2qqi9uYkwAAACgT/XNGiX1uiN/o35ZJfm+5SFJklRVdSvJ9yW5UV/68VLK+CaGfX9VVX95jZCkOeZPJ/mf65e7kvyFTYwHAAAA9LG+CUrSWHtkoj7/7aqqfn+1oqqq5pL8Sv1yT5Lv2OiAK4OYdfzasvNHNzoeAAAA0N/6KSj5s8vOP9midvn7H+5CLytdW3a+dwvGAwAAAHqgn4KSb152/pkWtWfW+LxuWT7Ga1swHgAAANAD/RSUfOOy83Mtai8kWazPv6GUstr2vh1Rr51yYtmlF7s1FgAAANBb/RSUfN2y89fXK6yq6m4aW/gmjQVW93WrqSR/Lcm76vOXIygBAACAHaufgpIHlp3faqP+5rLz0Q73kiQppRxP8rfql3eT/FBVVUstPuejpZQzpZQzFy9e7EZbAAAAQJf0U1DSV0op70pjt5td9aW/XlXVv271eVVVfbyqqmNVVR2bmJhoVQ4AAAD0kX4KSq4vOx9uo3757jPX1qzagFLK25P8n0nG60s/XVXVf9/JMQAAAID+009ByZVl5+NrVuXNBVb/RP3ybpIbnWqilPL1SX4nyZH60seqqvrJTt0fAAAA6F/9FJR8cdn5VIvaI0kG6/MvVVVVdaKBUsrhNEKS5vg/n+RHO3FvAAAAoP/1U1DyhWXnx1rULn//C2tW3YNSytvSCEneWV/65SR/qVMhDAAAAND/+iko+a1l5x9qUfvhZeef3OzApZSJJL+d5N+rL/1qku9vtcMNAAAAsLP0U1AynaS5n+4HSymPrFZUSjmU5Hvql7eS/MZmBi2lHEjyL5N8U33pf0nyvVVVLW7mvgAAAMD20zdBSVVVd5P8nfplSfJPSyljy2tKKcNJfiHJvvrSz1RVdWm1+5VSni+lVPXHyTVq9if5F0n+VH3pf0vyPXUvAAAAwH1mV68bWOHnknxXkvcn+bYkv1dK+YdJXk1jAdcfTPJwXfsHSf72Jsf7zST/fn3+5TTWJXm8lLLe58xXVfUvNjkuAAAA0If6KiipqupOKeU7knwiyQeSfH1WD0N+N8l3VlX1lU0O+d5l54fTWJukldfSelceAAAAYBvqm0dvmqqqupzkg2msQ/JiGjM97iSZTWNXmo8meU9VVed71iQAAACwI/XVjJKmekveX017MzzWusdTSZ5qUbPuMzYAAADA/aXvZpQAAAAA9IqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqgBAAAAKAmKAEAAACoCUoAAAAAaoISAAAAgJqghJ1nejqZmmocO1EHAADAfUNQws4yPZ088UTy2muN40svtVcnLAEAACCCEnaSZvgxP994PT+fPP7414Ylq9UJSwAAAIighJ1iZfjRtDIsWa9OWAIAAHDfE5Sw/a0VfjQ1w5LnnmtdJywBAAC4r5Wqqnrdw4517Nix6syZM71uY+ebmmqsNdLKyMjaIclyDz6YnDu32a4AAADoY6WUz1RVdWzldTNK2P5OnWqEIK20E5KMjCTPP7/plgAAANieBCVsf8ePJ6dPtxeWrGdkJHnxxeSxxzrSFgAAANuPoISdYbNhiZAEAACACErYSTYalghJAAAAqAlK2FmOH0+eeab9sGRkJDl5UkgCAABAEkEJO830dPLss+0t3Jo06k6eTF56qZtdAQAAsE0IStg5pqeTJ55oPyRpmp9PHn9cWAIAAICghB1ioyFJk7AEAACACErYCTYbkjQJSwAAAO57ghK2vxMn2gtJ2lngdX4+eeqpTbcEAADA9iQoYfs7dap1CNLc3aadulOnOtYaAAAA24ughO3v+PHk9Om1Q5CRkeTFF5Onn25dd/p0434AAADclwQl7AxrhSXNkOSxx1rXCUkAAADue4ISdo6VIcjKkGS9OiEJAAAAEZSw0zRDkAcfXD0kWa1OSAIAAEBtV68bgI47fjw5d65zdQAAANw3zCgBAAAAqAlKAAAAAGqCEgAAAICaoAQAAACgJigBAAAAqAlKAAAAAGqCEgAAAICaoAQAAACgJigBAAAAqAlKAAAAAGqCEgAAAICaoAQAAACgJigBAAAAqPVlUFIavruUcrqUcqGUcruU8u9KKb9dSvmLpZRdXRhzXynlr5RSPlVKmSul3CqlvFZK+dVSyoc6PR4AAADQfzoeOGxWKWUsySeSfGDFW2+rPz6Q5EdKKd9ZVdX5Do357nrMh1a8dbT++Egp5Z8lOVFV1Z1OjAkAAAD0n74KSkopu5P8RpL315f+KMnHk7ya5EiSH0jycJJvS/KbpZT3VlV1dZNjPpjkN5NM1pf+nyS/lOT1JI8m+WiS8ST/eZKlJE9uZjwAAACgf/VVUJLkR/JWSPK7ST5YVdXl5pullJ9J8utJPpTkm5L8zSRPb3LMn85bIcnPJ/lLVVUt1a//eSnlY0n+rzRmlnxvKeVXqqp6cZNjAgAAAH2ob9Yoqdcd+Rv1yyrJ9y0PSZKkqqpbSb4vyY360o+XUsY3Mea3JPmP65fnk/zYspCkOeb5NAKcppMbHQ8AAADob30TlKSx9shEff7bVVX9/mpFVVXNJfmV+uWeJN+xiTG/e9n5x+sgZjW/mcbjP0lyrJTyjk2MCQAAAPSpfgpK/uyy80+2qF3+/oe7PWZVVVWS31p2yS44AAAAsAP1U1DyzcvOP9Oi9swan9e2UspAGgvDJsndJL/X7TEBAACA/tZPQck3Ljs/16L2QpLF+vwbSillA+MdSTJSn/9xVVV3W9S/tuz8G9esAgAAALatfgpKvm7Z+evrFdahRnNb4F1J9nVzvNqlNT73q5RSPlpKOVNKOXPx4sUNtAUAAAD0Sj8FJQ8sO19rUdXlbi47H+2X8aqq+nhVVceqqjo2MTGxVhkAAADQh/opKOmlqtcNAAAAAL3XT0HJ9WXnw23U7112fm2T4+1ds6pz4wEAAAB9rp+CkivLzsfXKyyl7EryJ+qXd5Pc6OZ4q9RcWbMKAAAA2Lb6KSj54rLzqRa1R5IM1udfqqpqI4/OXEgy37xfHb6s58Fl519cswoAAADYtvopKPnCsvNjLWqXv/+FNavWUVXVUpL/t365K8m3dHtMAAAAoL/1U1DyW8vOP9Si9sPLzj/Z7TFLKWXF+7+1Vi0AAACwffVTUDKd5GJ9/sFSyiOrFZVSDiX5nvrlrSS/sYkxX1h2/kOllLUWkf32JO+sz89UVfWHmxgTAAAA6FN9E5RUVXU3yd+pX5Yk/7SUMra8pg4yfiHJvvrSz1RVdWm1+5VSni+lVPXHyTXG/L0kv16/PJrkZ0opX/WfSSnlaJKfW3Zp1XsBAAAA21+rBUy32s8l+a4k70/ybUl+r5TyD5O8msYCrj+Y5OG69g+S/O0OjPkTSd6bZLK+/zeXUn4xyaUkjyb5oby1480vV1X1YgfGBAAAAPpQXwUlVVXdKaV8R5JPJPlAkq/P6mHI7yb5zqqqvtKBMV8rpXx7PeZDSd5Tf6z0z5L8wGbHAwAAAPpX3zx601RV1eUkH0xjHZIXk3w5yZ0ks0l+J8lHk7ynqqrzHRzzs0n+VJK/muRfJ3k9ye0kf5Tk15J8e1VVf6GqqjudGhMAAADoP6Wqql73sGMdO3asOnPmTK/bAAAAAFYopXymqqpjK6/33YwSAAAAgF4RlADAZk1PJ1NTjWMn6gAA6BlBCQBsxvR08sQTyWuRFUzRAAAgAElEQVSvNY4vvdRenbAEAKAvCUoAYKOa4cf8fOP1/Hzy+ONfG5asVicsAQDoS4ISANiIleFH08qwZL06YQkAQN8RlADAvVor/GhqhiXPPde6TlgCANBXbA/cRbYHBtihpqYaa420MjKydkiy3IMPJufObbYrAADuge2BAaBTTp1qhCCttBOSjIwkzz+/6ZYAAOgMQQkA3Kvjx5PTp9sLS9YzMpK8+GLy2GMdaQsAgM0TlADARmw2LBGSAAD0JUEJAGzURsMSIQkAQN8SlADAZhw/njzzTPthychIcvKkkAQAoE8JSgBgM6ank2efbW/h1qRRd/Jk8tJL3eyK+930dGN3plZbT7dbBwD3EUEJAGzU9HTyxBPthyRN8/PJ448LS+iO5vfla681jmt9n62sE5YAQBJBCQBszEZDkiZhCd2w8vtyre+z1eqEJQCQRFACAPdusyFJk7CETlrr+3Ll99l6dcISABCUAMA9O3GivZCknQVe5+eTp57adEvc51qFd82w5LnnWtcJSwC4zwlKAOBenTrVOgRp7m7TTt2pUx1rjftUO+Hd/Hx7Cw/PzzfuBwD3KUEJANyr48eT06fXDkFGRpIXX0yefrp13enTjfvBZrQT3iXtz4R6/vlNtwQA25WgBAA2Yq2wpBmSPPZY6zohCZ3SKrxr18rvXwC4DwlKAGCjVv5xutYfmavVCUnotM2GJUISAEgiKAGAzWn+cfrgg+v/kbm8TkhCt2w0LBGSAMCbSlVVve5hxzp27Fh15syZXrcBANxvnnuuvYVbk7cWHn766a63BQD9pJTymaqqjq28bkYJAMBOMj3dfkiSNOpOnkxeeqmbXQHAtiEoAQDYKaankyeeaD8kaZqfTx5/XFgCABGUAADsDBsNSZqEJQCQRFACALD9bTYkaRKWAICgBABg2ztxov2FW1uZn0+eemrTLQHAdiUoAQDY7k6dah2CNHe3aafu1KmOtQYA242gBABguzt+PDl9eu0QZGQkefHFxhbArepOn27cDwDuU4ISAICdYK2wpBmSPPZY6zohCQAISgAAdoyVIcjKkGS9OiEJACQRlAAA7CzNEOTBB1cPSVarE5IAwJt29boBAAA67Pjx5Ny5ztUBwH3EjBIAAACAmqAEAAAAoCYoAQAAAKgJSgAAAABqghIAAACAmqAEAAAAoCYoAfrf9HQyNdU4dqIOAABgDYISoL9NTydPPJG89lrj+NJL7dUJSwAAgA0QlAD9qxl+zM83Xs/PJ48//rVhyWp1whIAAGADBCVAf1oZfjStDEvWqxOWAAAA90hQAvSftcKPpmZY8txzreuEJQAAwD0oVVX1uocd69ixY9WZM2d63QZsP1NTjbVGWhkZWTskWe7BB5Nz5zbbFQAAsIOUUj5TVdWxldfNKAH6z6lTjRCklXZCkpGR5PnnN90SAABwfxCUAP3n+PHk9On2wpL1jIwkL76YPPZYR9oCAAB2PkEJ0J82G5YISQAAgA0QlAD9a6NhiZAEAADYIEEJ0N+OH0+eeab9sGRkJDl5UkgCAABsiKAE6G/T08mzz7a3cGvSqDt5MnnppW52BQAA7FCCEqB/TU8nTzzRfkjSND+fPP64sAQAALhnghKgP200JGkSlgAAABsgKAH6z2ZDkiZhCQAAcI8EJUD/OXGivZCknQVe5+eTp57adEsAAMD9QVAC9J9Tp1qHIM3dbdqpO3WqY60BAAA7m6AE6D/HjyenT68dgoyMJC++mDz9dOu606cb9wMAAGiDoAToT2uFJc2Q5LHHWtcJSQAAgHskKIF7MT2dTE01jp2oY30rQ5CVIcl6dUISAABgAwQl0K7mTiyvvdY4rrWTyso6YcnmNEOQBx9cPSRZrU5IAgAAbFCpqqrXPexYx44dq86cOdPrNuiE1barXW12w1p1/nAHAADoK6WUz1RVdWzldTNKoJXVwo+k8frxx9+aWbJenZklAAAA24KgBNazVvjR1AxLnnuudZ2wBAAAoO959KaLPHqzA0xNNdYaaWVkZO2QZLkHH0zOndtsVwAAAGySR29gI06d+tptZ1fTTkgyMpI8//ymWwIAAKB7BCWwnpXbzm7UWtvaAgAA0FcEJdDKZsMSIQkAAMC2ISiBdmw0LBGSAAAAbCuCEmjX8ePJM8+0H5aMjCQnTwpJAAAAthFBCbRrejp59tn2Fm5NGnUnTyYvvdTNrgAAAOggQQm0Y3o6eeKJ9kOSpvn55PHHhSUAAADbhKAEWtloSNIkLAEAANg2BCWwns2GJE3CEgAAgG1BUALrOXGivZCknQVe5+eTp57adEsAAAB0j6AE1nPqVOsQpLm7TTt1p051rDUAAAA6T1AC6zl+PDl9eu0QZGQkefHF5OmnW9edPt24HwAAAH1LUAKtrBWWNEOSxx5rXSckAQAA2BYEJdCOlSHIypBkvTohCQAAwLYhKIF2NUOQBx9cPSRZrU5IAgAAsK3s6nUDsK0cP56cO9e5OgAAAPqKGSUAAAAANUEJAAAAQE1QAgAAAFATlAAAAADUBCUAAHTf9HQyNdU4dqIOALpEUAIAQHdNTydPPJG89lrj+NJL7dUJSwDoAUEJAADd0ww/5ucbr+fnk8cf/9qwZLU6YQkAPSAoAQCgO1aGH00rw5L16oQlAGwxQQkAAJ23VvjR1AxLnnuudZ2wBIAtVKqq6nUPO9axY8eqM2fO9LoNAICtNzXVWGuklZGRtUOS5R58MDl3brNdAcCbSimfqarq2MrrZpQAANB5p041QpBW2glJRkaS55/fdEsA0A5BCQAAnXf8eHL6dHthyXpGRpIXX0wee6wjbQFAK4ISAAC6Y7NhiZAEgB4QlAAA0D0bDUuWhyTT0401TyzoCsAWEJQAANBdx48nzzzTflgyMpKcPPlWSPLEE42FYe1+A8AWEJQAANBd09PJs8+2t3Br0qg7eTL5qZ/66q2DbRUMwBYQlAAA0D3NGSHthiRN8/PJX/krX/t5whIAukxQAgBAd2w0JGlFWAJAF/VlUFJK+XAp5VdLKa+VUm6VUuZKKZ8qpfxkKWVfB8eZKKV8Xynl50spny2lXCmlLJRSLpVS/k0p5e+VUh7u1HgAAPeNboUkTfPzyYkT3bk3APe1Xb1uYLlSyp4kp5L8Zyvemqg//kySHyul/CdVVX1+k2P9j0l+NMngKm8fqD+OJfmJUspPJfmvq6pa3MyYAAD3jRMnuheSJI0FX59/vnv3B+C+1VdBSZJfSPLd9fmlJB9P8nKSg0m+N8mfTvKOJJ8spbynqqo/2sRY35S3QpLfT/I79VhXkhxK8niSb09j1s1fTbI/yV/axHgAAPePU6e6N6Nk+dbBANBhpaqqXveQJCmlfEeSX69fnk/y/qqqzi97fyDJP07SnGP5iaqq/tNNjPdbSS4m+amqqj6zRs2fT/LP81ag9B9UVfU77Y5x7Nix6syZMxttEQBge+vG4zdCEgA6pJTymaqqjq283k9rlJxcdv4jy0OSJKmqainJj6URoiTJny+lfPMmxvueqqq+d62QpB7zE0n+h2WXvn8T4wEA3F+OH09On26EG8uNjCR//+9/7fVWhCQAbIG+CEpKKd+Q5Fvrl1+qqur/WK2uqqqbSf7Rsksf2eiYVVVdbrP015adP7rR8WBbm55OpqZa7y7Qbh0A94+VYUkz7PjJn0yeeab9sGRkJDl5UkgCQNf1RVCS5EPLzn+rRe0nl51/uAu9rHRt2fneLRgP+ktz2vRrrzWOL73UXp2wBICmZljy4INvzQiZnk6efbb9x3Lm5xtByVo/hwCgQ/olKFn+CM2aj8LUPpekufvMN5VSSndaetPy3l7r8ljQX1Y+Wz4/nzz++Nf+krpanbAEgOWOH0/OnXsrJNnI2iVr/RwCgA7ql6DkG5edn1uvsKqqu0n+uH65L8mf7FJPTct3unmxy2NB/1jrl9iVv6SuVycsAWClzS7wKiwBoMv6JSj5umXnr7dRf2mNz+2oUsr3JPlg/XI2yc93ayzoK61+iW3+kvrcc63rhCUANHVqFxxhCQBd1C9ByQPLzm+1UX9z2floh3tJkpRSvinJx5dd+vGqqm608XkfLaWcKaWcuXjxYjdag+47caL1L7Hz8+09Wz4/37gfALTz8yVpb4HX+fnkqac23RIArLSr3cJSyl9McqQTg1ZVdXK9tzsxxmaUUt6W5H/PWyHM/1RV1a+t8ylvqqr/v717j7Ksrg48/t3CIClEBhA1CXa1MWokID4qGnUyoYiONI1jsgyBOEaaUWDyMA+NWYmsNVQnY5xgssbJmBBJxmqCZEKAaMfuNDiB6nHNaBIb0RGdWYCZ7qDxAUSEtni7549zbur07fuq+zq37v1+1jqrzz216/xOn30fv9r3nN8vr6QssCwsLNT+f5H6srzc2zd+vXZ2d+wYymFJkja4Xj5fGrPbLC11j1teHvYRSpLUe6EEeCvw8iG1u9T0+GBlvZeZZaoxD7aN6kNEnAB8DPiectP1wM8Psw1p4jVmJxj08ujGFJBO5ShJgu6fL9XPjYWFznG7dhX7kyRpyCbl1pv7K+sn9hBfjbm/bdQ6RcRxFEWS08pNHwXemJlPtP8taUo1OrO9XP7cikUSSVIr7T5fmj83OsVZJJEkjVDPhZLM/MHMjGEsLXZ/R2V9c6fjiIgjWZvp5luszYAzkIg4FrgJeGm56Sbg3Mx8bBj7lzakfoslFkkkSZ00f760+9xoFWeRRJI0YpNyRcntlfWFLrEvAo4o17+QmQOPAxIRTwH2sHZr0S3Aj2bmI4PuW9rwFhfhsst6L5Y07i23SCJJ6qRRBJmf71xcr8ZZJJEkjcF6xigZpZsq66/tEntWZf3GQRuOiDlgF/CqctPHgddlZi+z70jTb2Wlt9ltGlZXi0LJD/yAxRJJUmeLi7B///DiJEkagom4oiQz7wRuKx8+NyK2tIqLiKOBiyqb/myQdsv97QR+uNz0CWBrZg4weqU0RVZW+hvQdXUVtm6FvXtHcliSJEmSNCoTUSgpba+sXxERm6o/jIgnAb8HNLZfn5nVW3aqsUsRkeWyo03MUcANwKvLTX8DbMnMg63ipZnTb5GkwWKJJEmSpA1oUm69ITN3RsS1wHnAPHBrRHyAYvySE4E3Ay8rw78CvH3AJncAZ5frDwJXAGdGtBpr9pDj/MiA7UqTb9AiSUOjWOLArpIkSZI2iIkplJQuABI4H3gacGmLmC8Cb8jMuwds65WV9WMpCie96FxJkabBhRf2ViSZm+set7oK27Z5b7kkSZKkDWGSbr0hMx/JzJ8EtgDXAXcDjwD3Ap+kuIrk9Mz8bH1HKc2A5eXus9w0ZrfpJW55eWiHJkmSJEmjFEOYXVdtLCws5L59++o+DKk/nW6/mZtbu52mW5xTOUqSJEmaQBFxa2YuNG+fqCtKJE2QxcWiyNF8xUi1SNItziKJJEmSpA3GQomk9pqLIM1Fkk5xFkkkSZIkbUAWSiR11iiCzM93nr2mGmeRZHatrMDmzcW/w4iTJEmSxswxSkbIMUokzZTqeDXtrj5qFWdhTZIkSTVwjBJJ0ug0D+q7ugpbt8Levd3jzjnHK0skSZI0MSyUSJIG027mo+ZiSac4iyWSJEmaEBZKJEn96zQ9NKwVSy6/vHucxRJJkiRNAMcoGSHHKJE09TZvhgMHusfNzbUvklTNz8P+/YMelSRJktSVY5RIkoZveXltWuhOeimSzM3Bjh0DH5IkSZI0CAslkqT+NaaF7qVY0kmnWXIkSZKkMbJQIkkazKDFEoskkiRJmiAWSiRJg+u3WGKRRJIkSRPGQokkaTgWF+Gyy3ovlszNwdKSRRJJkiRNFAslkqThWFmB7dt7G7gVirilJdi7d5RHJUmSJK2LhRJJ0uBWVuCcc3ovkjSsrsLWrRZLJEmSNDEslEiSBtNvkaTBYokkSZImiIUSSVL/Bi2SNFgskSRJ0oSwUCJJ6t+FF/ZWJOllgNfVVdi2beBDkiRJkgZhoUSS1L/l5e5FkMbsNr3ELS8P7dAkSZKkflgokST1b3ERdu1qXwSZm4Pdu+Gd7+wet2tXsT9JkiSpRhZKJEmDaVcsaRRJzjije5xFEkmSJE0ICyWSpME1F0GaiySd4iySSJIkaYJYKJEkDUejCDI/37pI0irOIokkSZImjIUSDW5lBTZvLv4dRpykjWtxEfbvb18kaY6zSCJJkqQJY6FEg1lZgXPOgQMHin/37u0tzmKJJEmSJGkCWShR/xrFj9XV4vHqKmzdenixpFWcxRJJkiRJ0gSyUKL+NBc/GpqLJZ3iLJZIkiRJkiaMhRKtX7viR0OjWHL55d3jLJZIkiRJkiZIZGbdxzC1FhYWct++fXUfxvBt3lyMNdLN3Fz7IknV/HwxqKMkSZIkSWMSEbdm5kLzdq8o0fotLxdFkG56KZLMzcGOHQMfkiRJkiRJw2ChROu3uAi7dvVWLOlkbg527+4+jagkSZIkSWNioUT9GbRYYpFEkiRJkjSBLJSof/0WSyySSJIkSZImlIUSDWZxES67rPdiydwcLC1ZJJEkSZIkTSQLJRrMygps397bwK1QxC0twd69ozwqSZIkSZL6YqFE/VtZgXPO6b1I0rC6Clu3WiyRJEmSJE0cCyXqT79FkgaLJZIkSZKkCWShROs3aJGkwWKJJEmSJGnCWCjR+l14YW9Fkl4GeF1dhW3bBj4kSZIkSZKGwUKJ1m95uXsRpDG7TS9xy8tDOzRJkiRJkgZhoUTrt7gIu3a1L4LMzcHu3fDOd3aP27Wr2J8kSZIkSRPAQon6065Y0iiSnHFG9ziLJJIkSZKkCWOhRP1rLoI0F0k6xVkkkSRJkiRNIAslGkyjCDI/37pI0irOIokkSZIkaUIdWfcBaAosLsL+/cOLkyRJkiSpJl5RIkmSJEmSVLJQIkmSJEmSVLJQIkmSJEmSVIrMrPsYplZE3AMcqPs4avI04N66D0JjZ95njzmfTeZ99pjz2WTeZ485n02znPf5zDypeaOFEo1EROzLzIW6j0PjZd5njzmfTeZ99pjz2WTeZ485n03m/XDeeiNJkiRJklSyUCJJkiRJklSyUKJRubLuA1AtzPvsMeezybzPHnM+m8z77DHns8m8N3GMEkmSJEmSpJJXlEiSJEmSJJUslEiSJEmSJJUslEiSJEmSJJUslGggEXFWRFwbEQci4uGI+HpE/K+I+KWIOGaI7ZwUEW+OiA9GxG0RcX9EPBYR90XEpyLidyLiBcNqb5ZE4byI2BURX4qIRyLiKxFxc0S8NSKOHEGbx0TE28vnytfL586B8rn02mG3p0ONM+cRsSkiLomIayLi9oh4ICIejYh7IuJ/RsSvR8SmYbWn9up4rbc4hhMi4qsRkZVl86jbnVV15TwijoiIcyPiTyPirog4WL7274yIPRHxKxHx3FG0rdo+17dGxJ+UOT5Yvs/fGxGfiIjfjIjnDLtNFcrX26kRsS0i/ktEfDIiVivvsUsjate+XE3GnfOZ7ctlpovLuhfgycCfANlhuQt44RDa+l3g8S5tJfAE8NvAEXWfn42yAMcDN3c5r7cCm4bY5ouBL3Zp8xrgqLrPzzQu48w58BHg2z28dh8GfrnuczPNSx2v9TbHsaNFu5vrPj/TuNSV8/I9/tM9vO7fV/c5msZl3HkHngas9JDvR4Bfqfv8TOMC3NDl3C+NoE37cjOS81nuy4382yNNrauA88r1+yimlPocxQfmm4CXAc8BboyIl2fm3QO0dQpwRLn+eeCWsq37gacDW4EtFFdIvQM4DrhogPZmQkQcBewEfqjcdDdFHu8CTgb+LfAC4CXAnoh4RWY+MGCb88Ae4Bnlpr8FPgTcC5wGXAycCLyR4k35pwZpT4eqIeenAlGuf4qiM30H8EDZ3huAV1EUXt8bEU/OzHcP0J5aqOO13uY4XgNcQPHafhQ4ethtqFBXziPilRTv8U8tN30K+Cjw/8rHzyrbPXvQtnS4cee9vDJlD7BQbnoYuBr4DPANiny/DvgXwFHAb0XEwcz8/X7bVEtHND3+R4q++Uiu2rIvNxHGmfPZ7cvVXalx2XgL8HrWqocHaPpWgqJg8cFKzHUDtncTxRvwSzvE/DjwWKXNM+s+T5O+AL9QOV+3Asc3/fxo4MZKzHuH0OaHK/v7r8CTmn6+qXxONWK21n2epmkZd86B24H3A8/vEPOLlfYeA55X93matqWO13qLYzgG+Lty/78L7K+0t7nuczRtS03v78+g+EMpgYeA8zvEHgF8Z93nadqWGt7jf6qyr78H5tvEXVSJuwc4su5zNU0L8C7gPWVf+Nnltm2Vc7405Pbsy81Qzme5L1f7AbhsvAW4rfJiOLtNzHc0vUmeOkB7x/cY99uV9q6q+zxN8gIcCXy9PFffBr6/TdzTgYOsXVJ34gBtnl7JzwHg6DZxZ1fiPlX3uZqWpaac9/ravb6S8+11n6tpWurIe5v9/6dy318CjsVCydTlHPjTSk7Pq/s8zNpS03v8hyo5/5kusfsqsafVfb6mfWF0fzTbl5vQZYQ5n9m+nIO5al3KwddeVD68MzP/slVcZj4E/GFl00/022ZmfqPH0Osq66f1296MOBM4qVy/OTM/3yooM79O0fmF4pK61w/Q5nmV9Ssz8+E2cXsoLhMGWHAAuKEZe8597U6EOl7rh4iIlwE/Xz58W2Y+OKx9q6Wx57y8FP/c8uHHM/PafvelvtXxWn96Zf3OLrF3VNaHNti/xs6+3IyZ5b6chRKtV3UU65u6xN5YWT9rBMfSrNr5/o4xtLeR/avK+o1tow7/+SB57KnNLMrS1eeWI6cPRx0575Wv3dGpNe8R8c8oL80Gdmbmh4exX3VUR84vYK1P+UcD7Ef9qyPvX6usdxsbofHzJzi0aKKNxb6c2pm6vpyFEq3XqZX1W7vEfobiAxHglIiITsFDUD22AyNua6NbTx73tfm9nkXEkygGkINiBqPPjrpNHWasOV8nX7ujU3fef63c10Hg54a0T3VWR87/ZWX9log4MSK2R8TnKlMDf76cxvJ5A7Sj9urI+87K+q+WVxYdJiLeytqAr1dn5j8O0KZqYl9OXUxdX85Zb7Re1Q7O/k6Bmfl4RHyZYlCnY4Dvprg/fVSqM93sHmE706DnPFLk7AmKwfeeGxFRflOwHicDc+X6lzPz8S7x1TdYO9XDMe6c96ScNeHCyiZfu8NVW94j4gUUA84BXJqZo3z/15o6ct74I/ibwDzF1JXPbIo5pVx+OiJ+LTPf20c7aq+OvN9AMbDnj1HMcPN/I+KPOXTWm39NMesNZezb+mhHk8G+nFqa1r6chRKt1z+vrN/bQ/x9FIWSxu+OpKMcEecDry4ffo1i1h2113Mey4LXA8DxFO8Zx1B8OzyS9kr3tfld9W/cOe/VLwPfV65/jin5cJ0gteS9/ObxjyjGQNhHMWK+xmOsOY+IJwPHlQ+fAHaV+/s7is/iu8rHr6e4zeMI4PKIeDQz//N62lJHY3+tZ2ZGxLnAr1MUQI6lmBq22aeBfw/85aiK7hoL+3JqZyr7ct56o/V6SmW93QBOVQ9V1o8d8rEAEBGnAFdWNr0tM781iramyLjzOHHPmxk0cTmIiEXgN8qHjwOXZOa3R9HWDKsr7z8LvJLiD+eLzetYjTvnx1fWTygf30gx68q7M/PazPyDzNwC/LtK7OURcXIf7am1Wl7rmfkE8F5gO/BIm7CXAL8KvKLfdjQRJq4fofpNc1/OK0qmUHkv6FA6H5m51OnHw2hjEBHxTOCjrL0B/35mXtfhV1S/2p83ql9EfB/FCOmNz6F3ZeYnazwkDUlEbAJ+s3z4vsy8rc7j0cg1f+n2IPCmVrNhZOYHIuI1wBuAo4CfBi4d/SFqVCLiLIpZdI4D9gLvAf6G4o/kTRSzIV1KcfvNzRFxfmbubL03bSD25TT1fTkLJdPprcDLh7SvpabH1UszexnRuBoz1CkhI+IE4GPA95SbrmdtCkp1dpC1bwGPpvslt4PmcWKeNzNs3DlvKyKeDfx34MRy0/scr2Bk6sj7FRTfPB4ALutzH+rfuHPe/Dt/npn3tYwsXElRKIHillkLJcMx9td6WSTZTVEsux44r+mb5LuA90TEzcDHy+O6OiKel5lf7adN1cq+nP7JLPTlvPVG63V/Zf3EtlGtY+5vG7VOEXEcRZGkMU/3R4E3lpeAqrue81gO0PTU8uHjQD+3NU3E82bGjTvn7fb9LOAW1q56+4PM/KVh7V+HGWveI+JNwNnlw5/1NshajPu1frD83YZPd4mvzsjynD7aU2t1vMf/DsXfEt8GfqHd5faZ+bfAjvLhscC2PttTvezLCZidvpxXlEyhzPzBEe7+DmCxXN8M/I92geUH8XeXD78FfHkYBxARx1LMzf7SctNNwLmZ+dgw9j8j7gCeXa5vpvM0XidTDL4HcGefA7F9CVilGC395Ig4ssto6dUpBu/ooz0dbtw5P0xEfBfFB+vmctMHgZ8Zxr7V1rjz/pby368CL46IF7eJO66y/nMR0ehE/2Fmfq2PdrVmrDkvB/S8k7VpQ7/Z5VeqPz+ubZTWa6x5L79NPqV8+IXM/Icuv/JXwCXl+svW254mgn05zVRfzitKtF63V9YX2kYVXsTaB/EXhvHHVkQ8BdjD2q1FtwA/mpntBhBTa+vJY/Xnt7eN6qD8lun/lA+PBE4fdZs6zFhz3qwcT+gW4HvLTdcAFzkDwsiNO+9R/vtMisHd2i3VGRDeUdn+nX22qzV1vNb/d2X9qW2jCtXiSLeiino37rx/V2X9gR7iq7k+ps82VSP7cpq1vpyFEq3XTZX113aJPauyfuOgDUfEHMW0g68qN30ceF2rAePUVR157KnNiIimn9/ULlbrUudr9yTgZuD55aZrgQumZVT0CVdb3lWbOnK+p7L+0rZRh//cb5mHZ9x5rxZHntVDfJ85JDsAAAQxSURBVPXqgk5j2Giy2ZebUbPYl7NQonXJzDuBxgwGz42ILa3iIuJo4KLKpj8bpN1yfzuBHy43fQLYmpmrg+x3hq0A95Trr46I728VFBFPB84vHz5MkYN+VZ8Dl5Q5bWULa5XqfZn5xQHa1Jo6ct4YdPmvWLtE+88pZsRwPKHxGGveM/OMzIxuC4feFvDsys8+00+7OkQdr/WdFJfkA/xYRHQav+DiyroFueEZd97vYm2K2GdFxCu7xJ9fWd/XZ5uqn325GTSrfTkLJerH9sr6FeVUkP8kIp4E/B7FtHAA12dmy0vuImIpIrJcdrSJOQq4gWJ0fCimnduSmd1GdFcb5T2l7y4fBvDHEXF8Nab88LuKtUtk399uJoOI2FHJ41KbNj8LfKR8uAl4f/lcqe5nE8WMGQ0t96X1qyPnlUGXX1hu+gvg/C73NGuI6si76lXT+/v9FAN7QnHrzdWt/oCKiItZm/HmWxz6fq8BjDvvmfkQhxZZrmruD1b29S7gR8qHjzDgl2caDftys8e+XGcO5qp1y8ydEXEtcB7FpZS3RsQHKO4/PBF4M2sDdX0FePuATe5gbRaFBynefM8srurreJwf6RigKyg6rD8EvAT4bJnHuygGensLa4PzfQH4D0No8xeBVwDPKPd/akRcTXEZ7mkUA701vom8JjN3D6FNrRl3zvewdpn9P1Dcy7q1y2t3NTM/NmC7OlQdr3XVq46c/0eKb5EXyn9vj4gPlm0eD7y+3N5wSWbec9heNIhx5/1dwGuAEyiuHrg9Ij4E/DXwEMUf0ueyNq4cwPbM/NKA7aqiHFj3LU2bX1hZP7OcYKHqhsy8jf7Yl6vZmHM+u325zHRxWfcCPBn4b0B2WO4CTu+yn6VK/I42Mfu7tNNyqfscbYSFovN6c5dzeSuwqct+dlTil7rEvhj4Ypc2rwGOqvv8TOMyzpz387oF9td9jqZxqeO13mU/1ff1zXWfn2lcanp/P4niFpBOba5S3Nde+zmaxmXceacoyNzRw3v7Y8CldZ+faVyAM/r4rN3Wb87LWPtyM5LzPtqZmr6ct96oL5n5SGb+JMW3Q9cBd1NcTnkv8EmKq0hOz+ISPU2ozPwGxS1N5wO7KSrFjwJfoxjV+mLg5Zn590Ns8zaKqvc7KJ4r91I8d+6meC5tycx/k5mPDqtNrakj56qfeZ89Nb2/3wOcCfwExW0Zd5dtfpNifLP3AN+bmVcNq00datx5z8xPU3ymXwB8mKIIugo8TnGFwV9TXG30/Mx8d5vdaIOxL6dZEGWlSJIkSZIkaeZ5RYkkSZIkSVLJQokkSZIkSVLJQokkSZIkSVLJQokkSZIkSVLJQokkSZIkSVLJQokkSZIkSVLJQokkSZIkSVLJQokkSZIkSVLJQokkSZIkSVLJQokkSZIkSVLJQokkSZIkSVLp/wP1dXTFhp6RmAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n"
     ]
    },
    {
     "data": {
      "image/png": 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r0KBBio6O1pAhQ7R582YfOwUAAAAAoGgEJQiJyMhIpaWladmyZfr000914YUXeq797bffNHz4cDVo0ECpqalauHChj50CAAAAAFA4ghKElDFG5513nt5//319++236tu3r6KiojzVBoNBTZ8+Xa1bt1br1q2Vnp6uffv2+dwxAAAAAAB/IiiBbxo3bqyXXnpJubm5evzxx3XiiSd6rl24cKGuuuoqNWjQQMOHD9evv/7qY6cAAAAAADgISuC7OnXq6O6779amTZs0efJkNW/e3HNtTk6OhgwZoujoaA0cOFDZ2dk+dgoAAAAAqOwISlBqqlWrpq5duyozM1NffPGFLrnkEhljPNX+/vvvev7559WwYUN16dJFX331lay1PncMAAAAAKhsCEpQ6owxOvvss/XOO+9o7dq1GjBggI466ihPtdZazZw5U2eddZZatGih119/XXv37vW5YwAAAABAZUFQgjLVsGFDPf/888rNzdVTTz2lmJgYz7WZmZm67rrrFB8fr2HDhmn79u0+dgoAAAAAqAwIShAWjj32WN1+++3asGGD3njjDbVo0cJz7Xfffae7775bMTEx6t+/v9auXetjpwAAAACAioygBGGlatWquvrqq7Vw4ULNnz9fV1xxhapU8fY/0127dunFF19U48aNdfHFF2vu3Lk8xwQAAAAAUCwEJQhLxhj985//1PTp07V+/XrdeuutqlWrlqdaa63ef/99nXvuuWrWrJkmTpyovLw8nzsGAAAAAFQEBCUIe/Hx8Xr22We1ZcsWPfvss4qLi/Ncu2zZMqWlpSkuLk6PPvqotm3b5l+jAAAAAIByj6AE5cbRRx+tW2+9VevWrdNbb72lNm3aeK794YcfdP/99ysmJka9e/fWqlWrfOwUAAAAAFBeEZSg3ImIiNDll1+uefPmKSMjQ1dffbUCgYCn2j179uiVV17Raaedpk6dOmnOnDk8xwQAAAAA8P8ISlCutWjRQm+88YY2btyoO+64Q7Vr1/Zc+9FHH+mCCy5QUlKSxo0bpz179vjYKQAAAACgPCAoQYUQExOjJ598Ulu2bNELL7yghg0beq5duXKlbrjhBsXGxurBBx/Ujz/+6GOnAAAAAMkVgYQAACAASURBVIBwRlCCCqVmzZq6+eabtXr1ar3zzjs6++yzPddu3bpVDz/8sGJjY9WrVy9lZWX52CkAAAAAIBwRlKBCCgQCuuSSS/TFF19o8eLF6tatmyIiIjzV5ufna/z48WratKnOP/98zZ49W/v37/e5YwAAAABAOCAoQYXXvHlzTZo0SZs3b9Y999yj4447znPtp59+qgsvvFCnnnqqxowZo127dvnYKQAAAACgrBGUoNI46aST9Nhjjyk3N1djxozRKaec4rl2zZo1uummmxQTE6N7771X33//vY+dAgAAAADKCkEJKp0aNWqoT58+WrVqlT744AO1b9/ec+327dv1+OOPKy4uTt27d9eSJUt87BQAAAAAUNoISlBpValSRf/617/0ySefaNmyZerZs6eqVavmqXbv3r2aPHmymjdvrnPOOUezZs1SMBj0uWMAAAAAgN8ISgBJTZs21WuvvaacnBw98MADqlu3rufaf//737r00kt1yimnaNSoUfr999997BQAAAAA4CeCEqCAv/3tbxo6dKhycnL06quv6rTTTvNcu2HDBg0YMEAxMTG64447lJub62OnAAAAAAA/EJQAh1C9enVdf/31ysrK0scff6yOHTt6rv3ll1/09NNPKz4+Xtdcc40WLVrkY6cAAAAAgFAiKAEOwxijDh066MMPP9TKlSvVu3dvVa9e3VNtMBjUm2++qZYtW6pNmzaaMWMGzzEBAAAAgDBHUAJ4dOqpp+rll19WTk6OHnnkEZ1wwgmeaxcsWKArrrhCDRs21IgRI/Tbb7/52CkAAAAA4EgRlADFVLduXd13333atGmTJkyYoNNPP91z7aZNmzR48GBFR0dr8ODB2rRpk3+NAgAAAACKjaAEOEKRkZHq0aOHlixZos8//1wXX3yx59qdO3dqxIgRatCgga644gotWLBA1lofuwUAAAAAeEFQApSQMUbt2rXTu+++qzVr1qhfv36qUaOGp9r9+/drxowZatOmjVq1aqU333xTe/fu9bljAAAAAEBhCEqAEDr55JM1evRo5ebmatiwYfr73//uuXbRokW65ppr1KBBAz399NP65ZdffOwUAAAAAHAoBCWAD4477jjdeeed2rhxo6ZOnaqUlBTPtbm5ubrjjjsUHR2tAQMGaP369T52CgAAAAAoiKAE8FHVqlV17bXXatGiRfrqq6902WWXyRjjqfaPP/7QqFGjdPLJJ+vSSy/Vv//9b55jAgAAAAA+IygBSoExRmeeeabefvttrV+/XgMHDlTNmjU91VprNWvWLJ1zzjlKSUnRlClTlJ+f73PHAAAAAFA5EZQApSwhIUEjR47Uli1b9Mwzzyg2NtZz7TfffKNu3bopPj5ejz/+uH7++WcfOwUAAACAyoegBCgjtWvX1m233aYNGzZo2rRpatWqlefa77//Xvfee69iYmJ00003ac2aNT52CgAAAACVB0EJUMYiIiKUmpqqr7/+Wl9//bVSU1NVpYq3/2vu3r1bY8aMUePGjXXhhRfqs88+4zkmAAAAAFACBCVAGGnVqpWmTZum7Oxs3XbbbTr66KM9186ePVvt27dXcnKyxo8fr7y8PB87BQAAAICKiaAECEP169fXM888oy1btmjkyJGKj4/3XLt8+XL16tVLsbGxevjhh7V161YfOwUAAACAioWgBAhjtWrV0sCBA7Vu3Tq9/fbbatu2refan376SQ8++KBiYmJ0ww03aOXKlT52CgAAAAAVA0EJUA4EAgFddtll+vLLL/Wf//xH1157rSIiIjzV5uXlady4cWrSpIkuuOACffTRRzzHBAAAAAAKQVAClDMpKSmaOnWqNm7cqDvvvFPHHnus59o5c+aoU6dOatKkiV555RXt3r3bx04BAAAAoPwhKAHKqejoaA0bNky5ubkaPXq0GjVq5Ll21apV6t27t2JjY3X//ffrhx9+8LFTAAAAACg/CEqAcu6oo45Sv379tHr1ar333ntq166d59pt27bp0UcfVf369ZWWlqZly5b52CkAAAAAhD+CEqCCqFKlii666CJ9/vnnWrJkiXr06KGqVat6qs3Pz9fEiROVnJys8847T++//77279/vc8cAAAAAEH4ISoAKKDk5WRMmTNDmzZt13333qU6dOp5rP//8c1188cVKTEzUiy++qD/++MPHTgEAAAAgvBCUABXYiSeeqEceeUS5ubl6+eWXlZiY6Ll27dq16t+/v2JiYnT33Xfru+++87FTAAAAAAgPBCVAJRAVFaXevXtrxYoV+vDDD9WhQwfPtTt27NCwYcMUFxenrl27avHixT52CgAAAABli6AEqESqVKmijh076uOPP1ZWVpauv/56RUZGeqrdt2+fpk6dqpSUFJ111lmaOXOmgsGgzx0DAAAAQOkiKAEqqSZNmujVV19VTk6Ohg4dqnr16nmu/eqrr9SlSxedfPLJev7557Vz504fOwUAAACA0kNQAlRy9erV0wMPPKDNmzfrtddeU1JSkufa7OxsDRw4UDExMRoyZIg2b97sY6cAAAAA4D+CEgCSpOrVq6tnz55atmyZPvnkE/3rX//yXPvrr79q+PDhatCgga666iotXLjQx04BAAAAwD8EJQD+whij9u3b64MPPtC3336rPn36KCoqylNtMBhUenq6WrdurdatW2v69Onat2+fzx0DAAAAQOgQlAAoVOPGjTVmzBjl5ubqscce04knnui5duHChUpNTVXDhg01fPhw/frrrz52CgAAAAChQVACoEh16tTRPffco02bNmnSpElq1qyZ59rNmzdryJAhio6O1qBBg5Sdne1jpwAAAABQMgQlADyrVq2aunXrpsWLF+uLL75Q586dZYzxVPv777/rueeeU6NGjdSlSxfNmzdP1lqfOwYAAACA4iEoAVBsxhidffbZmjVrltasWaObb75ZRx11lKfa/fv3a+bMmWrbtq1atGih119/XXv37vW5YwAAAADwhqAEQIk0atRIL7zwgnJzc/Xkk08qOjrac21mZqauu+46xcfH68knn9SOHTt87BQAAAAAikZQAiAkjj32WN1xxx3Kzs7WG2+8oX/84x+ea7/77jvdddddio6OVv/+/bV27VofOwUAAACAwhGUAAipqlWr6uqrr1ZGRobmzZunyy+/XFWqePtRs2vXLr344otq3LixOnfurLlz5/IcEwAAAAClKiyDEuO4yhjzvjFmizEmzxjzX2PMZ8aYG4wxET5c80JjzOvGmHXGmN+NMfnGmG3GmAXGmMeNMQ1CfU2gIjPGqE2bNnrrrbe0fv163XrrrapVq5anWmut3nvvPZ177rlq3ry5Jk2apPz8fJ87BgAAAADJhNtva40xx0p6S9K5hxn2jaTLrLU5Ibje8ZKmSzqniKH5ku631j7lde6UlBSbmZlZgu6AiuW3337TuHHj9Pzzz2vTpk3Fqj3hhBPUv39/9e3bV8cff7w/DQIAAACoNIwxi621Kf9zPpyCEmNMNUmfSmrrnsqVNFbSeknRknpJSnTfWyWptbX2txJcL0LS15IO/MHskTRZ0lJJOyTFSLpY0pkFyvpba1/0Mj9BCXBo+/bt0zvvvKMRI0ZowYIFxaqtXr26unfvrkGDBikxMbHoAgAAAAA4hPISlAyUNNJ9+Y2k9tbaHQXery7pHUkXuKeesdbeXoLrdZM0yX2ZK6mttXbzIcbdKCewkaRtkk601u4ran6CEqBoixYt0ogRIzR9+nQFg8Fi1Xbs2FGDBw9W+/btZYzxqUMAAAAAFVFhQUnYPKPEXd1xr/vSSupeMCSRJGvtHkndJf3hnhpgjKlTgsteUOB42KFCEve6r0ha7L48Xn+uagFQQi1atNAbb7yh7Oxs3X777apdu7bn2o8++kgdOnRQ06ZNNW7cOO3Zs8fHTgEAAABUBmETlMh5Jkld9/gza+3KQw2y1v4k6U33ZaSkS0pwzXoFjtcVMbbgfqVHleCaAA4hNjZWTz31lLZs2aLnn39eDRp4f37yihUrdMMNNyg2NlYPPfSQfvzxRx87BQAAAFCRhVNQ0qHA8UdFjC34fscSXLPgp6lGRYw98H5Qfw1NAIRQzZo1NWDAAK1Zs0bvvPOOzj77bM+1W7du1dChQxUbG6tevXopKyvLx04BAAAAVEThFJQ0KXC8uNBRjoIP/mhS6KiizSpwfJcxpv6hBhljbtCfD3ydbK3dXoJrAvAgEAjokksu0RdffKHFixera9euiojwtjN4fn6+xo8fr6ZNm+r888/X7NmztX//fp87BgAAAFARhM3DXI0x2ZLi3Zfx1tpNhxkbIWeHmoCkfZKq2SP4BzHO0x9nSLrMPbVHzsNdC+5601l/7nozU86zU373Mj8PcwVC67vvvtPo0aP18ssva/v24uWVjRs31qBBg9StWzfVqFHDpw4BAAAAlBdhv+uNMWa7pGPdl7WKCiOKO/4w8wQkPSxpgKRahQz7RtIDkmYXJ5AhKAH8sWvXLk2aNEkjR47UmjVrilVbp04d9enTR/3799dJJ53kU4cAAAAAwl3Y73ojqWaBYy9bV+wucFxYwFEka21Q0tOShkrKK2RYc0l3SWpd1HzGmN7GmExjTObWrVuPtC0Ah1GjRg317dtXq1at0vvvv6/zzjvPc+3PP/+sxx9/XHFxcerevbuWLFniY6cAAAAAyptwCkrKhDGmo6RNkp6R9LWcLYOPkbOjTiNJ98jZjvhMSZ8ZYw67y461dqy1NsVam1K3bt3DDQVQQlWqVNGFF16oTz/9VEuXLlVaWpqqVavmqXbv3r2aPHmymjdvrnbt2undd9/lOSYAAAAAKvetN25I8oGcwOgtSVdZa//nk5IxpoWkL+WEJzslnWyt/aGo+bn1Bih9P/zwg1566SW99NJLKu6qroYNG2rgwIFKS0tTzZo1iy4AAAAAUG6Vh1tvfilwXOdwA92HuR7tvtwnZ8XHkRgu589gv6SBhwpJJMlau0jSBPdlLUlpR3g9AD474YQTNHToUOXk5OjVV1/Vqaee6rl2/fr1GjBggGJiYnTnnXcqNzfXx04BAAAAhKNwCkrWFjiOK2JstJwdbyRp3RHueBMv6cAnqFXW2u+LKPm0wHGL4l4PQOmqXr26rr/+eq1YsUIff/yxOnbs6Ln2l19+0VNPPaX4+Hhdc801WrRokY+dAgAAAAgn4RSUrChw/D9LXw5S8P0VhY46vILbXfzmYfyvBY6POsJrAihlxhh16NBBH374oVauXKkbb7xR1atX91QbDAb15ptvqmXLljrzzDM1Y8YMBYNBnzsGAAAAUJbCKSj5uMDxBUWMLfir4Y+O8HoFw5EYD+PrFzj++QivCaAMnXrqqRo7dqxycnL08MMP629/+5vn2vnz5+uKK65Qw4YNNXLkSP32m5d8FQAAAEB5E05ByVxJB5682N4Yc9qhBhlj6km62n25R9KsI7zeev25DXGMMeafRYy/usAxT2gFyrG6devq/vvv1+bNmzVhwgSdfvrpnms3bdqkW2+9VdHR0Ro8eLA2bdrkX6MAAAAASl3YBCXW2n2SHnNfGkmTjDHHFhxjjKkuaaL+vPVllLX2kKs7jDETjDHW/XroENfbrb+GLBONMbGFzHWPpPPcl3mS0r39UwEIZ5GRkerRo4eWLFmizz77TBdddJHn2p07d2rEiBFq0KCBrrzySi1YsEDhsosYAAAAgCMXNkGJ6yVJX7nHzSUtM8bca4y5yhhzm6Rv9OdtN6skPVrC690jabt73FDSCmPMi8aY7saYK40xtxljFurPAEeShlprt5TwugDCiDFG5557rt577z2tXr1aN910k6KiojzV7t+/X2+99ZbatGmjVq1aadq0adq3b5/PHQMAAADwiwm334C6q0jeknTuYYZ9I+kya23OYeaZIKmH+3KotfahQsY1l/SmpEZFtLZP0kPW2seKGPf/UlJSbGYmd+kA5dH27ds1duxYvfDCC/r++6I2xfqrmJgYDRgwQDfeeKOOOeYYnzoEAAAAUBLGmMXW2v/ZTCbcVpTIWrtDUns5zwT5QNL3kvIl/Sjpc0m9JbU8XEhSzOt9I6mpnFBlpqRNknbJCUZ+lrRQ0jBJpxQnJAFQvh133HG66667tHHjRk2ZMkVnnHGG59rc3Fzdcccdio6O1i233KINGzb42CkAAACAUAq7FSUVCStKgIrDWqt58+bp2Wef1axZs4r1PBJjjDp37qzBgwerbdu2Msb42CkAAAAAL8rNihIACEfGGLVt21YzZ87UunXrdMstt6hmzZqeaq21mjVrls4++2ylpKRoypQpys/P97ljAAAAAEeCoAQAiqlBgwZ67rnnlJubq6efflqxsYfcMOuQvvnmG3Xr1k3x8fF64okntH379qKLAAAAAJQaghIAOELHHHOMhgwZog0bNmjatGlq2bKl59rvv/9e99xzj6Kjo3XTTTdpzZo1PnYKAAAAwCuCEgAooYiICKWmpmrhwoVasGCBrrzySlWp4u3H6+7duzVmzBg1btxYF110kT777LNiPf8EAAAAQGgRlABACLVu3Vrp6enasGGDBg8erKOPPtpz7QcffKD27dsrOTlZEyZMUF5eno+dAgAAADgUghIA8EFcXJyGDx+uLVu2aOTIkYqPj/dcu3z5cvXs2VP169fXww8/rK1bt/rYKQAAAICCCEoAwEe1atXSwIEDtW7dOs2YMUNnnnmm59off/xRDz74oGJiYnTjjTdq5cqVPnYKAAAAQCIoAYBSEQgE1KVLF3311Vf6z3/+o2uvvVYRERGeavPy8vTqq6+qSZMmuuCCC/Txxx/zHBMAAADAJwQlAFDKUlJSNHXqVG3cuFF33nmnjjnmGM+1c+bMUceOHdWkSRO98sor2r17t4+dAgAAAJUPQQkAlJHo6GgNGzZMubm5GjVqlBo2bOi5dtWqVerdu7diY2P1wAMP6IcffvCxUwAAAKDyICgBgDJWs2ZN9e/fX2vWrNG7776rdu3aea7dtm2bHnnkEdWvX19paWlatmyZj50CAAAAFR9BCQCEiSpVqujiiy/W559/riVLlqh79+6qWrWqp9r8/HxNnDhRycnJOu+88/T+++9r//79PncMAAAAVDwEJQAQhpKTkzVx4kRt3rxZ9957r+rUqeO59vPPP9fFF1+sxMREvfTSS/rjjz987BQAAACoWAhKACCMnXjiiXr00UeVk5Ojl19+WY0bN/Zcu3btWvXr108xMTG6++679d133/nYKQAAAFAxEJQAQDlQo0YN9e7dWytXrtTs2bN1/vnne67dsWOHhg0bpri4OHXt2lWLFy/2sVMAAACgfCMoAYBypEqVKurUqZPmzJmj5cuXq1evXoqMjPRUu2/fPk2dOlUpKSk6++yz9c477ygYDPrcMQAAAFC+EJQAQDmVlJSkcePGKScnRw899JDq1avnufbLL7/UZZddplNOOUXPP/+8du7c6WOnAAAAQPlBUAIA5Vy9evX04IMPavPmzRo3bpyaNGniuXbDhg0aOHCgYmJidPvttysnJ8fHTgEAAIDwR1ACABVE9erV1atXLy1fvlyffPKJOnXq5Ln2119/1TPPPKOEhARdffXVysjI8LFTAAAAIHwRlABABWOMUfv27TV79mytWrVKffr0UVRUlKfaYDCoadOmqVWrVvrnP/+p6dOna9++fT53DAAAAIQPghIAqMASExM1ZswY5ebm6rHHHtOJJ57oufbrr79WamqqGjZsqGeffVa//vqrj50CAAAA4YGgBAAqgTp16uiee+7Rpk2bNGnSJDVr1sxz7ebNm3XbbbcpJiZGgwYNUnZ2to+dAgAAAGWLoAQAKpFq1aqpW7duWrx4sebOnavOnTvLGOOpdufOnXruuefUqFEjXX755Zo3b56stT53DAAAAJQughIAqISMMTrnnHM0a9YsrVmzRv3791eNGjU81e7fv19vv/222rZtqxYtWuiNN97Q3r17fe4YAAAAKB0EJQBQyTVq1EijRo3Sli1b9OSTTyo6OtpzbWZmpq699lolJCToySef1I4dO3zsFAAAAPAfQQkAQJJ07LHH6o477lB2drZef/11/eMf//Bcu2XLFt11112Kjo7WzTffrHXr1vnYKQAAAOAfghIAwF9UrVpV11xzjTIyMjRv3jx16dJFVap4+8/Frl27NHr0aJ1yyinq3LmzvvjiC55jAgAAgHKFoAQAcEjGGLVp00YzZszQ+vXrNWjQINWqVctTrbVW7733ntq1a6fmzZtr0qRJys/P97ljAAAAoOQISgAARYqPj9eIESOUm5ur4cOHq379+p5rly5dqh49eiguLk6PPfaYtm3b5mOnAAAAQMkQlAAAPKtdu7YGDx6s9evXa/r06WrdurXn2v/+97+67777FBMToz59+ujbb7/1sVMAAADgyBCUAACKLSIiQldccYUWLFighQsX6qqrrlIgEPBUu2fPHo0dO1annnqq/vWvf+mTTz7hOSYAAAAIGwQlAIASadmypd58801lZ2dryJAhql27tufaDz/8UB06dNDpp5+u1157TXv27PGxUwAAAKBoBCUAgP9j797je67//4/fX3vbZvNJB+m485zmTPOVlFCi+KSjQ06TcioxnQ+SzinmbJE2oY9EKopEiISIDMlhdup8QBhm2+v3x2v7tdjhNXu/tve22/Vycdn78Hw83w9dujD3PQ9uERQUpNdff12pqamaNGmSwsLCbNcmJCRowIABCg4O1nPPPadff/3VwU4BAACAghGUAADc6rzzztOwYcO0d+9eLV68WG3atLFd+9tvv2nMmDEKCgrSgAEDtHPnTgc7BVAcCQnS0KFSRITk6ysZhvU1IsJ6PSGhrDsEAMA9DPaFOycyMtLcsmVLWbcBAGVu69atmjBhgubPn6/MzMxi1d54440aOXKkOnbsKC8v8n2gtCUmSn36SNu3S6dOSVlZZ49xuazQpGlTac4cqRgLygAAKDOGYWw1TTPyzNf5jhMA4LirrrpKc+bMUVJSkp588kldeOGFtmtXrlypW265RQ0aNNCbb76p9PR0BzsFkNeCBVKjRtKmTVJ6ev4hiWS9np5ujWvUyKoDAKC8IigBAJSaK6+8Ui+//LJSU1M1bdo01alTx3btnj17NHjwYAUFBemZZ57Rzz//7GCnABYskKKiCg9IzpQbmERFEZYAAMovtt44iK03AFC47OxsLVu2TDExMVq1alWxar29vdWjRw9FR0erWbNmDnUIVE6JidbKkJIs4PL3l3bulEJD3dcXAADuxNYbAIDH8fLyUufOnbVy5Upt375dUVFR8vHxsVV7+vRpzZkzR82bN1e7du308ccfKzs72+GOgcqhTx/rPJKSOHVK6t3bPf0AAFCaCEoAAB6hSZMmiouLU3JyskaNGqWLL77Ydu2aNWvUtWtX1atXT1OnTtXx48cd7BSo2HbssA5utbvdpiBZWdK2bdyGAwAofwhKAAAe5bLLLtPzzz+vlJQUzZw5U/Xr17ddu2/fPj344IMKCAjQ448/rrS0NAc7BSqm2NiSrybJlZFhzQcAQHlCUAIA8Eh+fn667777tHPnTi1fvlwdO3a0XXv48GGNHTtWoaGhuueee/TNN9842ClQsaxeXfLVJLmysqz5AAAoTwhKAAAezTAMdezYUcuXL9fOnTt13333ydfX11ZtZmam/ve//+n//u//dN111+mDDz5Qlrv+BQhUUImJ7p3vwAH3zgcAgNMISgAA5UaDBg00c+ZMpaam6vnnn9ell15qu3b9+vW68847Vbt2bU2YMEF///23g50C5VdGhnvnO33avfMBAOA0ghIAQLlTs2ZNjRo1SsnJyYqLi1Pjxo1t1x48eFDR0dEKDAzUww8/rKSkJOcaBcohmxdP2ebt7d75AABwGkEJAKDc8vX1VVRUlLZv365Vq1apc+fOtmv//vtvjR8/XuHh4br77rv19ddfO9gpUH6Ehbl3vvBw984HAIDTCEoAAOWeYRhq3769li5dqj179mjIkCHy8/OzVZudna2FCxfqmmuu0dVXX6333ntPmZmZDncMeK527SSXyz1zuVzWfAAAlCcEJQCACqVu3bqaNm2aUlNT9fLLL+uKK66wXbtp0yb16NFD4eHheuONN3T48GEHOwU80+DBks3zkovk42PNBwBAeUJQAgCokGrUqKEnn3xSBw8e1Ny5c9W8eXPbtSkpKXr00UcVEBCghx56SAe4tgOVSOPGUtOmJV9V4nJJzZpJjRq5py8AAEoLQQkAoELz8fFRr169tGXLFq1du1a33XabDMOwVXv8+HFNnjxZtWvX1u23364vv/xSpmk63DFQ9ubMKfmqEl9fae5c9/QDAEBpIigBAFQKhmGoTZs2Wrx4sfbt26dhw4apWrVqtmpN09SHH36o66+/XpGRkZo3b54y3H2HKuBBwsKkuDjJ5lE/Z/Hzs+pDQ93bFwAApYGgBABQ6YSHh2vSpElKS0vT66+/rsDAQNu13377rXr37q3Q0FC98sor+uuvvxzsFCg73bpJ8fGSv7/9bTgulzU+Pt6qBwCgPCIoAQBUWhdccIEeeeQRJSYmav78+WrZsqXt2p9++klPPfWUAgMDNXToUO3du9fBToGy0a2blJAgtWxprRIpKDBxuaz3W7aUdu4kJAEAlG8EJQCASq9KlSrq3r27Nm7cqA0bNuiuu+6Sl5e9vyLT09M1ffp01a1bV126dNEXX3zBOSaoUMLCpK++kjZtkgYNkiIirNtsDMP6GhFhvb5pkzWO7TYAgPLO4Js550RGRppbtmwp6zYAAOcgKSlJkydP1ltvvaW///67WLWNGzdWdHS0evbsKV933bMKAAAAtzIMY6tpmpFnvs6KEgAA8hESEqJx48YpNTVVMTExCi3Gj8l37Nih/v37Kzg4WC+88IJ+//13BzsFAACAOxGUAABQiOrVd4/W7QAAIABJREFUq2vEiBHat2+fFi1apNatW9uu/fXXX/Xss88qKChIAwcO1O7dux3sFAAAAO5AUAIAgA0ul0t33HGH1q9fr82bN6tnz55y2bwK5OTJk5o5c6YaNGigTp066bPPPuMcE1RaCQnS0KHW2Sa+vtZZJ76+1vOhQ633AQAoS5xR4iDOKAGAii01NVVTpkzRjBkzdPjw4WLV1q9fX9HR0erVq5f8/Pwc6hDwHImJUp8+0vbt0qlTUlbW2WNcLis0adpUmjPHOkgWAACnFHRGCUGJgwhKAKByOHbsmGbPnq0JEyZo//79xaq9+OKLNWTIEA0dOlSXXXaZQx0CZWvBAql//4IDkjPlBiZxcVw1DABwDoe5AgDgkP/85z964IEH9MMPP+ijjz5S27Ztbdf+8ccfeuGFFxQcHKz+/ftrx44dzjUKlIEFC6SoKCk93V5IIlnj0tOtugULnOwOAICzsaLEQawoAYDKa9u2bYqJidH8+fN1+vTpYtW2b99eI0eO1M033ywvL36mgfIrMVFq1MgKPc6Vv7+0c6dUjIunAACwhRUlAACUombNmumdd95RUlKSnn76aV100UW2a7/44gt16dJF9evX1/Tp03X8+HEHOwWc06ePtd2mJE6dknr3dk8/AADYQVACAICDrrjiCr344otKTU1VbGys6tWrZ7v2hx9+0NChQxUYGKinnnpKP/74o4OdAu61Y4d1cKvd7TYFycqStm3jNhwAQOkhKAEAoBT4+/tr0KBB2rVrlz799FN16NDBdu2hQ4f0yiuvKCQkRL1799bWrVsd7BRwj9jYkq8myZWRYc0HAEBpICgBAKAUeXl56eabb9aKFSu0Y8cO3XvvvfLx8bFVm5mZqXnz5ikyMlLXX3+9PvzwQ2WV9Mf1gENWry75apJcWVnWfAAAlAYOc3UQh7kCAOz49ddfNX36dE2bNk2///57sWrDw8M1fPhw9e/fX//5z38c6hAoPl9fayWIu/j4uG+FCgAAEoe5AgDgsS699FI999xzSklJ0axZs9SgQQPbtQcOHNBDDz2kgIAAPfroo0pJSXGwU8A+d4YkklTMy6MAADhnBCUAAHiIqlWr6t5771VCQoJWrFihm2++2XbtkSNH9MYbbygsLEw9evTQpk2bHOwUKJrNHWW2eXsXMWD1aikkpOg9OnbHAQAqLYISAAA8jGEY6tChgz799FPt3r1bAwcOVNWqVW3VZmVl6b333tPVV1+t1q1ba+HChcrMzHS4Y+BsYWHunS88vJA3V6+WunSRkpOtr2vW2BtHWAIAyAdBCQAAHiwiIkJvvvmmUlNT9eKLL+qyyy6zXbthwwbdfffdqlWrlsaPH68jR4442Cnwb+3aSS6Xe+Zyuaz58pUbfqSnW8/T06XOnc8OS/IbR1gCAMgHQQkAAOXAxRdfrKefflpJSUmaPXu2mjZtars2OTlZDz/8sAIDAxUdHa2DBw862ClgGTzYOtDVHXx8rPnOcmb4kevMsKSwcYQlAIAzEJQAAFCO+Pr6qm/fvvr222+1evVq/fe//5VhGLZqjx49qgkTJqhWrVq688479dVXX4nb7+CUxo2lpk1LvqrE5ZKaNZMaNTrjjYLCj1y5YcnYsUWPIywBAOTB9cAO4npgAEBp2LdvnyZOnKi4uDilF/SPwQK0aNFC0dHRuuuuu+Rd5GmZQPEkJloBRzH/t/wXf39p504pNPSMN0JCrLNG7Exgp4HgYCkp6Rw6BACUV1wPDABABVW7dm1NmTJFqampevXVV3XllVfarv3mm290zz33KCwsTGPHjtWhQ4cc7BSVTViYFBcn+fmdW72fn1V/VkgiWW/4+xc9iZ2QxN9fio8vbnsAgAqKoAQAgArioosu0uOPP66DBw/q3XffVWTkWT8gKVBaWpoef/xxBQYG6sEHH9S+ffsc7BSVSbduVgbh729/G47L9U920a1bAYPatZOWLrUXlhTG31/65BOpbduSzQMAqDAISgAAqGC8vb3Vs2dPbd68WevWrdMdd9whLy97f+UfP35cU6dOVd26ddW1a1etWbOGc0xQYt26SQkJUsuW1iqRggITl8t6v2VLa7tNgSFJrpKGJYQkAIB8cEaJgzijBADgKRITEzVp0iTNmjVLx44dK1Zts2bNFB0dre7du8vHx8ehDlFZJCRIsbHW2akHDkinT0ve3lJ4uJV7DB6cz8GtRSnqYNf8EJIAQKVX0BklBCUOIigBAHiaI0eOaNasWZo4caJSUlKKVXv55ZfrgQce0ODBg1WjRg2HOgTO0dix0pgx9s8kee456dFHHW8LAOC5CErKAEEJAMBTZWZmavHixYqJidHXX39drFo/Pz/17dtXI0aMUL169RzqECgGVpQAAM4Bt94AAID/r0qVKrr77ru1YcMGff311+rWrZtcNk/aPHHihN58801FRETolltu0cqVKznHBGXnXEISyRrfubO0Zo0jbQEAyi+CEgAAKrmrr75a7733nhITE/XII4/o/PPPt127bNkydejQQU2aNNHbb7+tkydPOtgpcIZzDUlyEZYAAPJBUAIAACRJQUFBev3115WamqqJEycqLCzMdm1CQoIGDBig4OBgjRkzRr/99puDnQIqeUiSi7AEAHAGzihxEGeUAADKs6ysLC1ZskTjx4/XunXrilXr6+urXr16KTo6Wg0bNnSoQ1RqISFScnLR4/z97YUpwcFSUlJJuwIAlCOcUQIAAIrF5XLptttu05dffqktW7aoV69eqlKliq3aU6dO6e2331ajRo100003admyZcrOzna4Y1QqcXFWCFKY3Ntt7IyLi3NbawCA8o2gBAAAFOmqq67S3LlzlZSUpCeeeEIXXnih7drPP/9ct9xyixo0aKAZM2boxIkTDnaKSqNdO2np0oJDkNxbbR59tOhxS5da8wEAIIISAABQDFdeeaVeeeUVpaamatq0aapdu7bt2j179mjQoEEKDAzUM888o59//tnBTlEpFBSWnHn1b2HjCEkAAGcgKAEAAMVWrVo1DRkyRHv27NGSJUvUvn1727V//vmnXnrpJQUHB6tfv37avn27g52iwjszBDkzJClsHCEJACAfBCUAAOCceXl5qUuXLlq1apW2b9+ufv36ydvb21bt6dOn9c4776hZs2Zq166dlixZwjkmODe5IUhwcP4hSX7jCEkAAAXg1hsHcesNAKAy+uWXXzRt2jRNnz5df/zxR7Fqa9eureHDhysqKkrVqlVzqEMAAABuvQEAAKXksssu0/PPP6+UlBTNmDFDERERtmv37dunBx98UIGBgXriiSeUlpbmYKcAAABnIygBAACO8PPz0/33369du3Zp2bJluummm2zXHjp0SK+99ppCQ0N1zz33iBWaAACgtBCUAAAARxmGoU6dOumzzz7Tzp07dd9998nX19dWbWZmpv73v/+pRYsWuu666/TBBx8oKyvL4Y4BAEBlRlACAABKTYMGDTRz5kylpKRozJgxuuSSS2zXrl+/Xnfeeadq166tiRMn6ujRow52CgAAKiuCEgAAUOouueQSPfvss0pJSVFcXJwaN25su/bgwYMaMWKEAgIC9PDDDys5OdnBTgEAQGVDUAIAAMqMr6+voqKitH37dq1cuVKdO3e2Xfv3339r/PjxCgsLU7du3fT111872CkAAKgsCEoAAECZMwxDN9xwg5YuXarvv/9egwcPlp+fn63a7Oxsvf/++7rmmmvUqlUrLViwQJmZmQ53DAAAKiqCEgAA4FHq1aun6dOnKzU1VS+//LIuv/xy27UbN25U9+7dFR4erjfeeEOHDx92sFMAAFAREZQAAACPVKNGDT355JNKSkrSnDlz1Lx5c9u1KSkpevTRRxUYGKjhw4frwIEDDnYKADhXCQnS0KFSRITk6ysZhvU1IsJ6PSGhrDtEZWSYplnWPVRYkZGR5pYtW8q6DQAAKgTTNLVu3TqNHz9eH3/8sYrzPYxhGOratatGjhypa6+9VoZhONgpAKAoiYlSnz7S9u3SqVNSfje/u1xWaNK0qTRnjhQWVvp9omIzDGOraZqRZ77ukStKDEt3wzCWGoaRZhjGKcMwfjYMY5VhGPcZhlHFoc91GYZxt2EY8w3D2G8YxjHDMP42DGOfYRjLDMN4zDCM2k58NgAAKJxhGGrTpo0+/PBD7d27V8OGDVO1atVs1ZqmqQ8//FBt2rRRixYtNG/ePJ0+fdrhjgEA+VmwQGrUSNq0SUpPzz8kkazX09OtcY0aWXVAafC4FSWGYVwoaaGk9oUM+1bS7aZpprjxc5tJmiWpWRFDJ5qmOcLOnKwoAQDAWYcPH9bMmTM1efJkpaamFqv2yiuv1IMPPqiBAwfqoosucqhDAEBeCxZIUVHSiRPFr/Xzk+LjpW7d3N0VKquCVpR4VFBiGIaPpJWSrst5KVXSDEn7JQVIuldSRM57uyW1Mk3zbzd87jWSlkmqnvPSN5KWSDqY8zww53NvkTSXoAQAAM9y+vRpffDBBxo/frw2b95crFp/f3/169dPI0aMUJ06dRzqEACQmGitDElPP/c5/P2lnTul0FD39YXKq7wEJcMlTch5+q2kG03TPJTn/aqSPpTUMeelN0zTfLSEn3mppF2Sakg6Kam/aZrzCxjrknSJaZo/25mboAQAgNJlmqa+/vprxcTE6IMPPlB2dnax6rt06aLo6Gi1a9eOc0wAwM1at7a20RS01cYOl0tq2VL66iv39YXKy+ODkpxzR36SVFOSKamRaZq78hl3iaRESdUknZJ0pWmaf5bgc+dL6p7ztIdpmu+d61xnIigBAKDsHDx4UJMnT9Zbb72lo0ePFqu2SZMmio6OVo8ePeTr6+tQhwBQeezYIbVqVbLVJLn8/P45twQoifJwmGt7WSGJJK3KLySRJNM0f5OUu+LDV1LXc/1AwzCCJd2d8/RLd4YkAACgbIWGhmr8+PFKS0tTTEyMQkJCbNd+9913ioqKUkhIiF544QX9/vvvzjUKAJVAbKx1u407ZGRY8wFO8aSg5KY8j5cXMTbv+51K8Jn99M9/g7dKMA8AAPBQ1atX14gRI7Rv3z4tXLhQrVu3tl37yy+/6Nlnn1VQUJAGDhyo3bt3O9gpAFRcq1eXbMtNXllZ1nyAUzwpKGmY5/HWIsbm3c/SsMBRRWuT5/EXhmHUMAxjjGEYCXmuBt5lGMZkwzA43Q0AgHKsSpUquvPOO7V+/Xpt2rRJPXr0kMvlslV78uRJzZw5Uw0aNFCnTp20YsUKecr2ZQAoDxIT3TvfgQPunQ/Iy5POKEmUlHt2cahpmkmFjK0i6+BVl6RMST7mOfxGDMM4LOl8SUdk3WizSNJlBQzPkvSkaZqv252fM0oAAPBsqampmjJlit58800dOXKkWLUNGjTQiBEj1Lt3b1WtWtWhDgGgYnD3+diGIRXzvG7gLOXhjJIL8jz+o7CBpmlmSsq9FriKrINdi8UwDF9ZIYlkhSBLZYUkiZKekdRD0hD9s83HJWlszs08hc070DCMLYZhbGE/MwAAni0wMFCvvfaa0tLSNHnyZNWqVct27a5du3T//fcrKChIo0eP1q+//upgpwBQuIQEaehQKSJC8vW1ggRfX+v50KHW+2XJx8e983l7u3c+IC9PWlGSISn3f3fvnDCksPE/Sroi5+kVdq/szVN/maQza5ZLut00zZNnjB0kKfe4oAxJ4aZpphX1GawoAQCgfMnKytLSpUsVExOjtWvXFqvWx8dH99xzj6Kjo9W4cWOHOgSAf0tMlPr0kbZvtw5Lze8cEJfLCk2aNpXmzJHCwkq/z4gIac8e987HsVEoqfKwoqS0nfl7Pyqp95khiSSZpvmmrG05kuQja6UJAACoYFwul7p27ao1a9Zo69at6tOnj7xt/tgyIyND8fHxatKkiW688UZ98sknymZdOAAHLVhgXZG7aZN17W5Bh6VmZVnv516pu2BB6fYpSe3aWYGNO7hc1nyAUzwpKDmW57Gdjb5+eR4fPYfPO7PmA9M0/yxk/Iw8j288h88DAMAzrV4thYQUfYWA3XEVRPPmzfXOO+8oKSlJTz31lC666CLbtatWrVKXLl1Uv359xcbGKj093cFOAVRGCxZIUVGFByRnyg1MoqJKPywZPNha1eIOPj7WfIBTPCkoOZzncY3CBuYc5lo952mmpOPn8HnHcmpzfVvE+Lw38YSfw+cBAOB5Vq+WunSRkpOtr2vW2BtXScISSbriiiv00ksvKTU1VbGxsapbt67t2h9++EFDhgxRYGCgnnrqKf30008OdgqgskhMlPr3l06cOLf6Eyes+oMH3dtXYRo3trb+lHRVicslNWtmrYwBnOJJQcnePI9DihgbIOtwVUnady433uTU7MvzUlFH3ed9//wCRwEAUF7khh+5qx3S06XOnc8OS/IbV8nCEkny9/fXoEGDtHv3bn3yySe68Ub7C0z/+usvvfLKKwoJCVGfPn307bdF/XwGAArWp491HklJnDol9e7tnn7smjOn5KtKfH2luXPd0w9QEE8KSnbmeXzWYSpnyPv+zgJHFW1HnsfVCxxlyRuOFO/+QAAAPM2Z4UeuM8OSwsZVwrBEkry8vHTLLbfo888/13fffaf+/fvLx+Z1DqdPn9bcuXN11VVX6frrr9dHH32kLLtr5gFA0o4d1sGtJf2jIytL2ratdG/DCQuT4uIkP7+ix+bHz8+qDw11b1/AmTwpKPksz+OORYztlOfx8gJHFW1ZnsdXFTE27/t7CxwFAICnKyj8yJUblowdW/S4ShqW5GrcuLHefvttpaSkaPTo0apZs6bt2i+//FK33Xab6tatq8mTJ+vYsWNFFwGo9GJjS76aJFdGhjVfaerWTYqPl/z97W/Dcbms8fHxVj3gNE+6HriKpJ8k1ZRkSmpkmuaufMZdIilRUjVJJyUFFHEIa2GfeYGkHyX5S/pbUlhBcxmGsVDSnTlPR5um+XxR83M9MADAI4WEWGeNFMXfv+CQJK/gYCkpqaRdVQgnT57UvHnzFBMTo127zvo2plDnn3++Bg4cqGHDhikwMNChDgGUdxXlmt3ca423bbMCm4KuNfbxsc4kmTuXlSRwP4+/Htg0zUxJL+U8NSS9YxjGhXnHGIZRVdJsWSGJJE0pJNiINwzDzPn1XAGfeVjSuJyn1SXNyfmMM+caqH9CkuOSptv+jQEA4Gni4qwQpCh2QpLcH/FBklS1alUNGDBACQkJWrFihTp16lR0UY4jR47o9ddfV2hoqHr06KHNmzc72CmA8iox0b3zHTjg3vnsCguTvvrKurJ40CArsPHxkQzD+hoRYb2+aZM1jpAEpcljVpRIkmEYPpJWSrou56VUSW9K2i/rANcBkiJy3tst6RrTNPM9L8QwjHhJ/XKejjFN87kCxvlLWqt/zj05IOntnM+8UFJXSTfnKeltmuY8O78fVpQAADxWUdtv7PD3lz75RGrb1m1tVUS7d+/WxIkT9c477+jkyZPFqr3mmmsUHR2t2267TVWqVHGoQwDliWG4f77sbPfOCZQXBa0o8aigRJJyVpEslNS+kGHfSrrdNM2UQuaJl42gJGdsTUkLJLUt5DNPSBpimubsQsb8C0EJAMCjlSQsISQptj/++EOxsbGaOnWqfvnll2LVhoSE6KGHHtKAAQNUvXpR588DqMh8fa2tKu7i4+O+M0+A8sbjt97kMk3zkKQbJfWQ9Imsc0syJP0q6QtJAyW1LCwkOYfP/F1WMNNN0keyVrJkyLrdZpukVyTVKk5IAgCAx2vXTlq61N42nLwISc7JxRdfrGeeeUZJSUmKj49XkyZNbNcmJSVp5MiRCggIUHR0tA4ePOhgpwA8WViYe+cLD3fvfEBF4HErSioSVpQAAMqFsWOlMWPsn0ny3HPSo4863lZFZ5qm1qxZo5iYGC1ZsqRYtV5eXrr99tsVHR2ta665Roa71+ID8FhDh0ozZpT8emDJOix10CBp6tSSzwWUR+Vm601FQlACAPB457L9hhUlbrd3715NnDhR8fHxSi/mVqgWLVpo5MiRuvPOO+Xt7e1QhwA8xY4dUqtWJTtiKpefn3VYaqNGJZ8LKI/KzdYbAABQSs71jJL0dKlzZ2nNGkfaqozq1KmjqVOnKjU1Va+++qquvPJK27XffPONevbsqbCwMI0dO1aHDh1ysFMAZa1xY6lpU2s1SEm4XNa1u4QkwNkISgAAqIxKeusNYYkjLrroIj3++OM6ePCg5s2bp8jIs37IVaC0tDQ9/vjjCgwM1LBhw7R//34HOwVQlubMsQ51LQlfX2nuXPf0A1Q0BCUAAFQ27rgaWCIscZC3t7fuuecebd68WevWrdPtt99u+xyS48ePa8qUKapTp466du2qtWvXiq3WQMUSFibFxVlbZ86Fn59VHxrq3r6AioKgBACAyqZ/f/sHtxYlPV2KiipxS8ifYRi69tpr9cEHH2j//v0aPny4/vOf/9iqNU1TH3/8sdq2baurrrpKc+bMUYY77xQFUKa6dZPi460/qu1uw3G5rPHx8VY9gPwRlAAAUNnExRUdguTebmNnXFyc21pDwcLCwjRhwgSlpaXpjTfeUFBQkO3abdu2qW/fvgoJCdHLL7+sP//808FOAZSWbt2khASpZUtrlUhBgYnLZb3fsqW0cychCVAUbr1xELfeAAA8VmHbb/LealPUuKVLpXbtHG8XZ8vMzNTixYs1fvx4bdy4sVi1fn5+6tu3r0aMGKF69eo51CGA0pSQIMXGWn9sHzggnT4teXtL4eHWH9ODB3NwK3AmrgcuAwQlAACPll8Ikt/VvwWNIyTxGBs3blRMTIwWLVqkrKysYtXecsstio6O1g033GD7HBQAACoCrgcGAAD/1q6dFXbkbq/JLyQpaBwhiUe5+uqr9d577+nAgQN6+OGHVb16ddu1n376qTp06KAmTZooLi5OJ0+edLBTAAA8H0EJAACVWW4IEhycf0iS3zhCEo8VHBysN954Q2lpaZo4caJCi3GlRUJCgu69914FBwdrzJgx+u233xzsFAAAz8XWGwex9QYAAJSlrKwsffzxx4qJidG6deuKVevr66vevXtrxIgRatiwoUMdAgBQdth6AwAAUMm4XC7dfvvt+vLLL/XNN9/onnvuUZUqVWzVnjp1SrNmzVKjRo3UsWNHLV++XPyADQBQGRCUAAAAVAKRkZGaN2+eDh48qCeeeEIXXnih7doVK1bo5ptvVoMGDTRjxgydOHHCwU4BAChbBCUAAACVSEBAgF555RWlpqZq6tSpql27tu3a77//XoMGDVJgYKBGjRqln3/+2cFOAQAoGwQlAAAAlVC1atU0dOhQ7dmzR0uWLFG7YhzQ++eff+rFF19UcHCw+vXrp+3btzvYKQAApYugBAAAoBLz8vJSly5d9MUXX2jbtm3q16+fvL29bdWePn1a77zzjpo1a6b27dtryZIlys7OdrhjAACcRVACAAAASVLTpk0VHx+v5ORkPfPMM6pRo4bt2tWrV+vWW29VvXr1NG3aNB0/ftzBTgEAcA5BCQAAAP7l8ssv1wsvvKDU1FS9+eabioiIsF27b98+PfDAAwoMDNQTTzyhtLQ0BzsFAMD9CEoAAACQLz8/Pw0cOFA7d+7UsmXLdNNNN9muPXTokF577TWFhoaqV69e2rJli4OdAgDgPgQlAAAAKJSXl5c6deqkzz77TAkJCRowYIB8fX1t1WZmZurdd99VixYtdN1112nx4sXKyspyuGMAAM4dQQkAAABsa9iwod566y2lpKRozJgxuuSSS2zXrl+/XnfccYfq1KmjiRMn6ujRow52CgDAuSEoAQAAQLFdcsklevbZZ5WcnKy3335bjRo1sl2bmJioESNGKCAgQI888oiSk5Md7BQAgOIhKAEAAMA5q1q1qvr376/vvvtOn3/+uW655RbbtX///bfGjRun8PBwdevWTRs3bnSwUwAA7CEoAQAAQIkZhqEbb7xRn3zyib7//nsNHjxYfn5+tmqzsrL0/vvvq1WrVmrVqpUWLFigzMxMhzsGACB/BCUAAABwq3r16mn69OlKTU3VSy+9pMsvv9x27caNG9W9e3eFh4dr3LhxOnLkiIOdAgBwNoISAAAAOKJGjRp66qmnlJSUpDlz5qhZs2a2a1NSUvTII48oICBAw4cPV2JiooOdAgDwD4ISAAAAOMrHx0e9e/fW1q1btWbNGnXt2lWGYdiqPXbsmCZNmqRatWrpjjvu0Lp162SapsMdAwAqM4ISAAAAlArDMHT99dfrww8/1N69e/Xggw+qWrVqtmpN09TixYvVpk0btWjRQu+++65Onz7tcMcAgMqIoAQAAAClrlatWpo8ebJSU1P12muvKSAgwHbt1q1b1atXL4WGhurVV1/VX3/95WCnAIDKhqAEAAAAZebCCy/UY489psTERP3vf/9TixYtbNf++OOPevLJJxUYGKgHHnhAe/fudbBTAEBlQVACAADyt3q1FBJifXXHOKAQ3t7e6tGjhzZt2qT169frzjvvlJeXvW9V09PTNW3aNNWrV0///e9/tXr1as4xAQCcM4ISAABwttWrpS5dpORk6+uaNfbGEZaghAzDUOvWrbVw4ULt379f0dHROu+882zVmqappUuXqn379mrWrJlmz56tU6dOOdwxAKCiISgBAAD/lht+pKdbz9PTpc6dzw5L8htHWAI3Cg0N1fjx45WWlqbx48crJCTEdu13332nqKgohYSE6MUXX9Qff/zhXKMAgAqFoAQAAPzjzPAj15lhSWHjCEvgZtWrV1d0dLT27dunhQsX6pprrrFd+8svv2jUqFEKDAzUwIEDtXv3bgc7BVBRJCRIQ4dKERGSr69kGNbXiAjr9YSEsu4QTjLYv+mcyMhIc8uWLWXdBgAA9hQUfuTl7y+NHi2NGVP0uKVLpXbt3N8nIGnz5s2KiYnhqjwPAAAgAElEQVTR+++/r6ysrGLVdurUSdHR0erQoYMMw3CoQwDlUWKi1KePtH27dOqUlN8fLy6XFZo0bSrNmSOFhZV+n3APwzC2mqYZedbrBCXOISgBAJQrISHWWSNF8fcvPCTJFRwsJSWVtCugUCkpKZoyZYpmzJihI0eOFKu2QYMGio6OVq9evVS1alWHOgRQXixYIPXvX3BAcqbcwCQuTurWzfn+4H4FBSVsvQEAAJa4OCsEKYqdkMTfX4qPL3FLQFGCgoI0duxYpaWlafLkyQoPD7ddu2vXLt13330KCgrS6NGj9euvvzrYKQBPtmCBFBVl/RVnd5FaVpY1PirKqkfFwYoSB7GiBABQ7tjZflMUf3/pk0+ktm3d1hZgV1ZWlpYuXaqYmBitXbu2WLU+Pj7q1auXoqOj1ahRI4c6BOBpEhOlRo1K/lffzp1SaKj7+oLzWFECAACK1q6ddbaInZUl+SEkQRlzuVzq2rWr1qxZo61bt6p3796qUqWKrdqMjAzFxcWpcePG6tChgz799FNlZ2c73DGAstanj7XdpiROnZJ693ZPPyh7BCUAAODfzjUsISSBh2nevLnmzJmj5ORkPfXUU7rooots165cuVKdO3dW/fr1FRsbq/SS/KgZgMfascM6uLWYZ0KfJStL2raN23AqCoISAABwtnbtrNtt7IYl/v7Sc88RksAjXXHFFXrppZeUmpqq6dOnq27durZrf/jhBw0ZMkSBgYF6+umn9dNPPznYKYDSFhtb8tUkuTIyrPlQ/nFGiYM4owQAUG6dy1klrChBOZGdna1ly5YpJiZGq1atKlatt7e3unfvrujoaDVv3tyhDgGUlogIac8e9863e7f75oOzOKMEAADYc64HuqanS507S2vWONIW4C5eXl7q3LmzVq5cqe+++079+/eXj4+PrdrTp09r7ty5uuqqq9S2bVt99NFHyirpmn0AZSYx0b3zHTjg3vlQNghKAADAP0p66w1hCcqZxo0b6+2331ZycrKeffZZ1axZ03bt2rVrddttt6lu3bqaMmWKjh075mCnAJyQkeHe+U6fdu98KBsEJQAAwOKOq4ElwhKUS5dddpnGjBmjlJQUvfXWW6pfv77t2gMHDmjYsGEKDAzUY489ptTUVAc7BeBONheT2ebt7d75UDYISgAAgKV/f3shiZ0DXtPTpaioErcElLaqVatqwIAB2rlzpz777DN16tTJdu3hw4f1+uuvKzQ0VD179tTmzZsd7BSAO4SFuXe+8HD3zoeyQVACAAAscXFFhyC5t9vYGRcX57bWgNJmGIZuuukmLVu2TLt27dL999+vqlWr2qrNysrS/Pnz1bJlS7Vu3VqLFi3iHBPAQ7VrJ7lc7pnL5bLmQ/lHUAIAACzt2klLlxYcguTeavPoo0WPW7qU7xZRYdSvX18zZsxQSkqKnn/+eV166aW2azds2KC77rpLtWrVUkxMjP7++28HOwVQXIMHS76+7pnLx8eaD+UfQQkAAPhHQWHJmVf/FjaOkAQVVM2aNTVq1CglJycrPj5eTZo0sV2blJSkkSNHKiAgQCNHjlRSUpJzjQKwrXFjqWnTkq8qcbmkZs2kRo3c0xfKFkEJAAD4tzNDkDNDksLGEZKgEvD19VW/fv20bds2ffHFF+rSpYvt2qNHjyomJkbh4eG66667tGHDBpmm6WC3AIoyZ07JV5X4+kpz57qnH5Q9ghIAAHC23BAkODj/kCS/cYQkqGQMw1C7du20ZMkS/fDDDxo6dKj87Rx2LCk7O1uLFi1S69atdfXVV2v+/Pk6zb2iQJkIC7OO1fLzO7d6Pz+rPjTUvX2h7Bgk2M6JjIw0t2zZUtZtAAAAoJT89ddfmjFjhiZPnqyffvqpWLWBgYEaNmyY7r//fl1wwQUOdQigIAsWWBfAnTol2Tl/2eWyVpLExUndujnfH9zPMIytpmlGnvU6QYlzCEoAAAAqp4yMDL3//vuKiYnR1q1bi1VbrVo19e/fX8OHD1etWrUc6hBAfhITpT59pG3bpIyM/AMTl8s6uLVZM2u7DStJyi+CkjJAUAIAAFC5maap9evXKyYmRh9++GGxziMxDEO33nqroqOj1aZNGxmG4WCnAPJKSJBiY6XVq6UDB6TTpyVvbyk83NplOngwB7dWBAQlZYCgBAAAALkOHDigSZMm6e2339axY8eKVdusWTONHDlS3bp1k4+Pj0MdAkDlUlBQwmGuAAAAQCkIDw/XxIkTlZqaqjfeeENBQUG2a7dt26Y+ffooJCREL7/8sv78808HOwWAyo2gBAAAAChFF1xwgR5++GEdOHBA7733nq6++mrbtT///LOefvppBQYGasiQIfrhhx8c7BQAKieCEgAAAKAMVKlSRd26ddPXX3+tDRs26O6775aXl71vz0+cOKHY2FjVq1dPnTt31qpVq4p1/gkAoGAEJQAAAEAZa9WqlRYsWKADBw5o5MiRql69uu3aTz/9VDfeeKOaNm2quLg4nTp1ysFOAaDiIygBAAAAPERISIjGjRuntLQ0TZgwQaHFuHd0x44duvfeexUUFKTnn39ev//+u4OdAkDFRVACAAAAeJjzzjtPw4cP1759+7Ro0SJde+21tmt/++03jR49WoGBgbrvvvu0a9cuBzsFgIqHoAQAAADwUC6XS3fccYfWrVunb775Rvfcc4+qVKliq/bUqVOaNWuWGjZsqI4dO2r58uWcYwIANhCUAAAAAOVAZGSk5s2bp4MHD+rxxx/XBRdcYLt2xYoVuvnmm9WwYUPNnDlTJ06ccLBTACjfCEoAAACAciQgIECvvvqq0tLSNHXqVNWuXdt27e7duzVw4EAFBQVp1KhR+uWXXxzsFADKJ4ISAAAAoByqVq2ahg4dqj179ujjjz9Wu3btbNf+8ccfevHFFxUcHKyoqCh99913DnYKAOULQQkAAABQjnl5eem///2vvvjiC23btk19+/aVt7e3rdqMjAzNnj1bTZs2Vfv27bVkyRJlZ2c73DEAeDaCEgAAAKCCaNq0qWbPnq3k5GQ988wzqlGjhu3a1atX69Zbb1VERISmTZum48ePO9gpAHgughIAAACggrn88sv1wgsvKCUlRW+++aYiIiJs1+7du1cPPPCAAgMD9eSTT+rHH390sFMA8DwEJQAAAEAF5e/vr4EDB2rnzp1atmyZOnToYLv20KFDevXVVxUSEqJevXppy5YtDnYKAJ6DoAQAAACo4Ly8vNSpUyetWLFCCQkJGjBggHx9fW3VZmZm6t1331WLFi3Upk0bLV68WFlZWQ53DABlh6AEAAAAqEQaNmyot956SykpKXruued0ySWX2K5dt26d7rjjDtWpU0eTJk3S0aNHHewUAMoGQQkAAABQCV1yySUaPXq0kpOTNWvWLDVs2NB2bWJiooYPH67AwEA98sgjSk5OdrBTAChdBCUAAABAJVa1alXde++92rFjhz7//HPdcssttmuPHDmicePGKTw8XN27d9fGjRsd7BQASgdBCQAAAAAZhqEbb7xRn3zyiXbv3q1BgwbJz8/PVm1WVpYWLFigVq1aqVWrVnr//feVmZnpcMcA4AyCEgAAAAD/EhERodjYWKWmpuqll17S5Zdfbrt248aN6tatm2rVqqVx48bpyJEjDnYKAO5HUAIAAAAgXzVq1NBTTz2lpKQkvfPOO2rWrJnt2uTkZD3yyCMKCAjQiBEjlJiY6GCnAOA+BCUAAAAACuXj46M+ffpo69atWr16tW699VYZhmGr9tixY5o4caJq166tO+64Q+vXr5dpmg53DADnjqAEAAAAgC2GYaht27b66KOP9MMPP+iBBx6Qv7+/rdrs7GwtXrxY1113nf7v//5P7777rk6fPu1wxwBQfAQlAAAAAIqtdu3amjJlitLS0vTaa68pICDAdu2WLVvUq1cvhYaG6rXXXtOhQ4cc7BQAioegBAAAAMA5u/DCC/XYY48pMTFR//vf/9SiRQvbtT/++KOeeOIJBQQE6IEHHtDevXsd7BQA7CEoAQAAAFBi3t7e6tGjhzZt2qT169frzjvvlJeXvX9upKena9q0aapXr55uvfVWrV69mnNMAJQZghIAAAAAbmMYhlq3bq2FCxdq//79GjFihM477zxbtaZpasmSJWrfvr2aN2+ud955RxkZGQ53DAD/RlACAAAAwBGhoaGKiYlRamqqxo0bp+DgYNu127dvV79+/RQcHKwXX3xRf/zxh4OdAsA/CEoAAAAAOOr888/XyJEjtX//fr3//vu65pprbNf+8ssvGjVqlAIDAzVo0CB9//33DnYKAAQlAAAAAEpJlSpVdNddd+mrr77Sxo0b1b17d7lcLlu1J0+e1IwZM1S/fn3dfPPN+vzzzznHBIAjCEoAAAAAlLqWLVtq/vz5SkxM1KOPPqrzzz/fdu3y5ct10003qXHjxpo1a5ZOnjzpYKcASiohQRo6VIqIkHx9JcOwvkZEWK8nJJR1h/9mkMI6JzIy0tyyZUtZtwEAAAB4vKNHjyo+Pl4TJ07UgQMHilVbs2ZNDR06VEOGDNGll17qUIcAiisxUerTR9q+XTp1SsrKOnuMy2WFJk2bSnPmSGFhpdefYRhbTdOMPPN1VpQAAAAAKHPnnXeehg0bph9++EGLFy9WmzZtbNf+/vvvGjNmjIKCgnTvvfcqwdN+PA1UQgsWSI0aSZs2Senp+YckkvV6ero1rlEjq66sEZQAAAAA8Bgul0u33Xab1q5dqy1btqh3796qUqWKrdqMjAzFxcWpcePG6tChgz799FNlZ2c73DGAMy1YIEVFFR6QnCk3MImKKvuwhK03DmLrDQAAAFByP/74o6ZOnarY2FgdOnSoWLX16tXTiBEj1KdPH/n7+zvUIYBciYnWypD09HOfw99f2rlTCg11X1/5YesNAAAAgHLpyiuv1Msvv6zU1FRNmzZNderUsV27Z88eDR48WEFBQXr66af1008/OdgpgD59rPNISuLUKal3b/f0cy4ISgAAAACUC9WqVdOQIUP0/fffa+nSpbrhhhts1/755596+eWXFRISor59+2rbtm0OdgpUTjt2WAe32t1uU5CsLGnbtrK7DYegBAAAAEC54uXlpc6dO2vlypXavn27oqKi5OPjY6v29OnTmjNnjpo3b662bdvq448/5hwTwE1iY0u+miRXRoY1X1kgKAEAAABQbjVp0kRxcXFKTk7Ws88+q4svvth27dq1a9W1a1fVrVtXU6ZM0bFjxxzsFKj4Vq8u+WqSXFlZ1nxlgcNcHcRhrgAAAEDpOnHihObNm6eYmBjt3r27WLUXXHCBBg4cqAcffFCBgYEOdQhUXL6+1koQd/Hxcd8KlfxwmCsAAACACs/Pz0/33Xefdu7cqeXLl6tjx462aw8fPqyxY8cqNDRUPXv21ObNmx3sFKh43BmSSNLp0+6dzy6CEgAAAAAVjmEY6tixo5YvX65du3bp/vvvl6+vr63arKwszZ8/Xy1bttS1116rRYsWKctd+wmACszmUUG2eXu7dz67CEoAAAAAVGj169fXjBkzlJqaqueff16XXnqp7dqvvvpKd911l2rVqqUJEybo77//drBToHwLC3PvfOHh7p3PLoISAAAAAJVCzZo1NWrUKCUnJys+Pl6NGze2XZuUlKTo6GgFBARo5MiRSkpKcq5RoJxq105yudwzl8tlzVcWPDIoMSzdDcNYahhGmmEYpwzD+NkwjFWGYdxnGEaVUujhIsMwfjEMw8zzK8TpzwUAAADgLF9fX/Xr10/bt2/XqlWr1KVLF9u1R48eVUxMjMLDw3X33Xdrw4YN4oIMwDJ4sHWgqzv4+FjzlQWPC0oMw7hQ0kpJ8yV1lnSlJB9Jl0lqL2mmpE2GYQQ53Mp4SfbX5AEAAAAoVwzDUPv27bVkyRLt2bNHQ4YMkZ+fn63a7OxsLVy4UK1bt9bVV1+t9957T5mZmQ53DHi2xo2lpk1LvqrE5ZKaNZMaNXJPX8XlUdcDG4bhIyskuS7npVRJMyTtlxQg6V5JETnv7ZbUyjRNt28SNAyjg6QVkrIlZUiqmvNWqGmaSXbn4XpgAAAAoHz5888/NWPGDE2ZMkU//fRTsWoDAwM1bNgw3X///brgggsc6hDwbImJVsCRnn7uc/j7Szt3SqGh7usrP+XleuAh+ick+VZSE9M0XzRNc75pmm9Iai7ps5z360sa5e4GDMOoJunNnKdTJf3q7s8AAAAA4Jlq1KihJ598UgcPHtTcuXPVvHlz27Wpqal67LHHFBAQoIceekgHDhxwsFPAM4WFSXFxks3FWWfx87PqnQ5JCuMxQUnOuSNP5zw1JfU1TfNQ3jGmaZ6U1FfS8ZyXhhmGUcPNrbwoKVTSj3n6AQAAAFCJ+Pj4qFevXtqyZYvWrl2r2267TYZh2Ko9fvy4Jk+erNq1a+u2227Tl19+yTkmqFS6dZPi462VIXa34bhc1vj4eKu+LHlMUCLr/JGaOY9Xmaa5K79Bpmn+Juv8EknyldTVXQ0YhvF/kh7KeTrMNM2j7pobAAAAQPljGIbatGmjxYsXa9++fRo2bJiqVatmq9Y0TX300Ue6/vrrFRkZqblz5yojI8PhjgHP0K2blJAgtWxprRIpKDBxuaz3W7a0ttuUdUgieVZQclOex8uLGJv3/U7u+HDDMLwlzZL13+Qj0zQXu2NeAAAAABVDeHi4Jk2apLS0NL3++usKDAy0Xfvtt9+qT58+Cg0N1SuvvKK//vrLwU4BzxAWJn31lbRpkzRokBQRYd1mYxjW14gI6/VNm6xxZbndJi+POczVMIzlkjrmPG1nmuaaQsaGSDqY8/R70zTru+Hzn5U0RtIxSRGmaablvJ4kKThnGIe5AgAAAJAkZWZmatGiRYqJidGmTZuKVevn56d+/fppxIgRqlu3rkMdAihMeTjMtU6ex0lFjE2TlJXzuLZhd7NgAQzDiJD0VM7Tp3NDEgAAAAAoSJUqVdS9e3dt3LhRGzZs0F133SUvL3v/xDpx4oRiY2NVr149denSRatWreIcE8BDeFJQkvf+rD8KG2iaZqak3GuBq0iyt0kwH4ZheEl6S9Z5J1skTTnXuQAAAABUTq1atdL777+vAwcOaOTIkapevbrt2k8++UQ33nijmjZtqvj4eJ06dcrBTgEUxZOCkv/keXzSxvgTeR6fV4LPfUDSNbJWqAw0TTO7BHPJMIyBhmFsMQxjy++//16SqQAAAACUMyEhIRo3bpxSU1M1YcIEhRbj0IUdO3aof//+Cg4O1vPPPy/+PQGUDU8KSkqdYRhBkl7OeTrBNM1tJZ3TNM0ZpmlGmqYZWbNmzaILAAAAAFQ41atX1/Dhw7Vv3z4tWrRI1157re3aX3/9VaNHj1ZgYKDuv/9+7dqV74WgABziSUHJsTyPq9oY75fn8ble4ztd1kqWZEmjz3EOAAAAAMiXy+XSHXfcoXXr1mnz5s3q2bOnXAXdk3qGU6dO6a233lLDhg3VsWNHffbZZ5xjApQCTwpKDud5XKOwgYZhVJGUu+kvU9Lx4n6YYRi9Jd2S8/QB0zSLPQcAAAAA2NWiRQu9++67OnjwoB577DFdcMEFRRflWLFihTp16qSGDRtq5syZOnHiRNFFAM6Jp14P3NY0zbWFjA1RCa8HNgxjtaS2kn6RNLWQoQ/rn4Nmx+mfQGemaZq/FvYZXA8MAAAAoCDHjh3T7NmzNWHCBO3fv79YtRdffLGGDBmioUOH6rLLLnOoQ6BiK+h6YE8KSt6QFUpI0iOmaY4rZOxdkt7Pefq+aZrdzuHz1ki6vrh1eTQzTXN7YQMISgAAAAAUJTs7W0uXLlVMTIzWrFlTrFofHx/17NlT0dHRatKkiTMNAhVUQUGJJ229+SzP444FjrJ0yvN4uQO9AAAAAECp8PLy0q233qrVq1fr22+/Vd++feXt7W2rNiMjQ7Nnz1bTpk11ww03aOnSpcrOLtFFnkCl50krSqpI+klSTUmmpEamaZ51vLNhGJdISpRUTdY1wgGmaf7pYF9JkoJznoaapplkt5YVJQAAAADOxU8//aRp06YpNjZWf/5ZvH/u1KlTRyNGjFDfvn1VrVo1hzoEyj+PX1FimmampJdynhqS3jEM48K8YwzDqCpptqyQRJKmFBSSGIYRbxiGmfPrOYfaBgAAAAC3u+KKK/Tiiy8qJSVFsbGxqlevnu3avXv3aujQoQoMDNSTTz6pH3/80cFOgYrHY4KSHNMlrct53FzSd4ZhPG0YRnfDMB6W9K3+2XazW9KLZdAjAAAAAJQKf39/DRo0SLt27dKnn36qDh062K49dOiQXn31VYWEhKh3797aunWrg50CFYdHBSWmaWZI6irpi5yXAmWFIfMlvSEpIuf1byXdbJrmkVJvEgAAAABKmZeXl26++WatWLFCO3bs0L333isfHx9btZmZmZo3b54iIyPVpk0bffjhh8rKynK4Y6D88qigRJJM0zwk6UZJPSR9IuvckgxJv8oKUAZKammaZkqZNQkAAAAAZaRRo0aaNWuWUlJSNHr0aNWsWdN27bp163T77berTp06mjRpko4ePepgp0D55DGHuVZEHOYKAAAAwGknT57Uu+++q/Hjx2vXrrPuwyjU+eefr/vvv1/Dhg1TUFCQQx0CnsnjD3MFAAAA8P/Yu/cwOev6/v+vD+G4iHwR4auVZEOEIigKuCpSqVm1qCSVL0WBUoREilKK1kj5aS2VpJa2pjbggaK0ZVMt5ctBCjUpUJHNr0opGgQFlXJMSPxZRSsKrBxC7t8fMyPrsofJzk52dvfxuK5ce8/s+5770yaXmzy5D7Dldtxxx7zrXe/KHXfckX/7t3/LW9/61qb3/elPf5qPf/zjmTdvXo477rjccsstbVwpTA1CCQAAwDRQSslv/MZv5F//9V/zne98J+95z3uy4447NrXv008/ncsvvzyHHnpoDjvssFxxxRXZtGlTm1cMnUkoAQAAmGb233//fOYzn8mGDRvyZ3/2Z3nBC17Q9L4333xzjj322Oyzzz5ZsWJFfvpTz9BgZhFKAAAApqnnP//5+eM//uOsW7cu//AP/5CDDjqo6X3Xr1+fM888M7Nnz8773//+3H///W1cKXQOoQQAAGCa22GHHXLSSSflG9/4Rvr7+/O2t70tpZSm9n3kkUfyiU98Ivvuu2+OOeaYfPWrX42HgjCdCSUAAAAzRCkl8+fPzzXXXJP/+q//yu///u+nq6urqX03b96cq666Kocffnhe/epX59JLL81TTz3V5hXD1ieUAAAAzED77rtvPv3pT2fjxo35y7/8y7zoRS9qet+1a9fmhBNOyLx58/Kxj30sP/nJT9q4Uti6hBIAAIAZbLfddssHP/jBPPDAA/mnf/qn9PT0NL3vxo0b86EPfSh77bVXzjjjjNxzzz1tXClsHUIJAAAA2W677fLbv/3b+drXvpavfOUr+a3f+q1ss01z/2QcGBjIBRdckP322y9ve9vb0t/f7z4mTFlCCQAAAL9QSsnrXve6fOELX8g999yTP/iDP8hznvOcpvatqipf/OIX84Y3vCGHHHJIPve5z+XJJ59s84phYgklAAAADGvevHk5//zzs3Hjxvz1X/91uru7m9739ttvz8knn5zu7u6ce+65+dGPftTGlcLEEUoAAAAY1a677poPfOADuffee3P55Zfnta99bdP7/vd//3fOPvvszJ49O+95z3vy3e9+t40rhdYJJQAAADRl2223zTve8Y78x3/8R26++eYce+yxmTVrVlP7Pv7447noootywAEH5Mgjj8yXvvQl9zGhIwklAAAAbLFDDz00l112We6///784R/+YXbdddem97322mtzxBFH5OUvf3kuvvjiPP74421cKWwZoQQAAIBxmzNnTv7qr/4qGzZsyCc+8YnMmzev6X3vvPPOnHLKKenu7s7SpUvzgx/8oI0rheYIJQAAALRsl112yfve977cfffd+ed//uccfvjhTe/7wx/+MMuWLcucOXNyyimn5M4772zjSsfnjjuS009P9t8/2WGHpJTa1/33r71/xx2TvUImSnFNWPv09PRUa9eunexlAAAATIpbb7015513Xi677LJs2rRpi/Z905velA984AN585vfnG22mbz/xn///ck735ncfnvyxBPJ008/e2bWrFo0Oeig5POfT7bgpBomUSnl1qqqeoa+74wSAAAA2uKVr3xl/vEf/zHr1q3LH/3RH2W33XZret8bbrghRx55ZF760pfms5/9bAYGBtq40uFdfnly4IHJLbckAwPDR5Kk9v7AQG3uwANr+zF1CSUAAAC01Yte9KL8+Z//eTZs2JC/+Zu/ya/+6q82ve9dd92V0047LXPmzMnZZ5+d73//+21c6TMuvzxZtGj0QDJUI5gsWiSWTGUuvWkjl94AAAA82+bNm/Ov//qvOe+883LjjTdu0b7bbbddjj/++CxZsiQHH3xwW9Z3//21M0NaOYmlqyu5885k770nbl1MLJfeAAAA0BG22WabLFy4MF/+8pdz++235+STT87222/f1L5PPfVUPv/5z+eQQw5Jb29v/uVf/iWbN2+e0PW98521+5G04oknkhNPnJj1sHUJJQAAAEyaV7ziFVm5cmXWr1+fP/mTP8nzn//8pvdds2ZNjjrqqOy333654IIL8uijj7a8nm99q3bj1mYvtxnJ008nt93maThTkVACAADApHvBC16QP/3TP82DDz6Yiy66KAcccEDT+957770544wzMnv27Hzwgx/Mxo0bx72Oz3ym9bNJGp58svZ5TC1CCQAAAB1jp512yqmnnpo777wz1113XY444oim93344YezfPny7L333jnhhBPy9a9/fYuP39/f+tkkDU8/Xfs8phahBAAAgI5TSsmb3/zmXH/99bnzzjvzu7/7u9lhhx2a2nfTpk259NJL87gcyAsAACAASURBVOpXvzqve93rctVVV+XpJuvH/fe3supnu+++if082k8oAQAAoKO99KUvzd/+7d/mwQcfzLJly7Lnnns2ve9NN92UY445Jvvuu2/OP//8/OxnPxt1/sknW13tL3vqqYn9PNpPKAEAAGBK2HPPPfORj3wkDz74YPr6+vLyl7+86X0feOCBLFmyJLNnz86ZZ56ZdevWDTvX5MN3mrbddhP7ebSfUAIAAMCUssMOO2TRokW5/fbbc8MNN2TBggVN7/uzn/0sK1asyItf/OK84x3vyM033/xL3583b2LX+uIXT+zn0X5CCQAAAFNSKSVvfOMbs2rVqnz3u9/Naaedlp122qmpfTdv3pwrr7wyhx12WA499NBcdtll2bRpU3p7k1mzJmZ9s2Ylvb0T81lsPUIJAAAAU95LXvKSXHjhhdmwYUP+/M//PC984Qub3veWW27J8ccfnxe/+MXZaaePZ/vtH56QNW2/fXLaaRPyUWxFQgkAAMO6447k9NOT/fdPdtghKaX2df/9a+/fccdkrxDg2Xbffff80R/9UdatW5fPf/7zOeSQQ5re98EHH8yKFWfliSf2SinvSzL+R9bMmpUcfHBy4IHj/ggmSamqarLXMG319PRUa9eunexlAABskfvvT975zuT225MnnkiGe6LmrFm1aHLQQcnnPz/x1/QDTJSqqvKVr3wl5513Xq655pps2b+BS5KjkixJcnj9dXO6upI770z23nvL1svWU0q5taqqnqHvO6MEAIBfuPzy2n/9vOWWZGBg+EiS1N4fGKjNHXhgbT+ATlRKya//+q/nn//5n3P33Xfnve99b3beeecm966SXJ3k9Ul6klySZOznB++0U9LXJ5JMVUIJAABJarFj0aLRA8lQjWCyaJFYAnS+ffbZJ5/85CezcePGLF++PLNnz96Cvb+R5MQkeyf5iyT/86yJWbNqZ5KsXJkce+yELJlJ4NKbNnLpDQAwVdx/f+3MkIGB8X+G08yBqeapp57KVVddlRUrVuRrX/vaFu69U5JFSf4gs2btl+23r92T5B//0f8OThUuvWHy9fcnc+fWvk7EHAAwYd75ztr9SFrxxBPJiSdOzHoAtobtttsuxx13XP7zP/8zN910U97+9rdnm22a/Wfyz5NcmOQl2WuvhfnkJ2/MV79aiSTTgFDC1tHfnyxcmKxfX/u6Zk1zc2IJALTdt75Vu3Frs5fbjOTpp5PbbvM0HGDqKaXksMMOyxVXXJH77rsvS5YsyS677NL0/uvXr86pp74xBx10UFauXJknWi3PTCqhhPZrxI/GubwDA8mCBc+OJcPNiSUA0Haf+UzrZ5M0PPlk7fMApqq5c+dmxYoV2bhxY84777zMnTu36X2/9a1vZfHixenu7s5HP/rRPPTQQ+1bKG0jlNBeQ+NHw9BYMtqcWAIAbdXfP/rZJPPTnwcyN/Mz+s/j+enPvU/PzWOr/NwGpr7nPve5ef/735977703V155ZX7t136t6X1/8IMf5CMf+UjmzJmTU089Nd/+9rfbuFImmlBC+4wUPxoasWT58rHnxBIAaJv77x/5e/PTn1VZmLlZn1VZmNdnzZhzFzzo5zYwfcyaNSvHHHNMvvrVr+aWW27J8ccfn1mzZjW17+OPP56/+7u/y8te9rK85S1vyfXXXx8PVOl8nnrTRjP+qTdz59buNTKWrq7mbrHf3Z2sW9fqqgCAIUoZ/v1G/Ng5z/ycfixdWZDV+X8zf9S5dHUlq1Ylvb1tWjXA5NmwYUM+/elP56KLLsrDDz+8RfsecMABWbJkSX7nd34nO+20U5tWSDM89Yatr6+v9peksTQTSRoPIwcAJtz22z/7vWHjR5KdM5DVWfCLM0tGmnNGKDCdzZ49Ox/72MeyYcOGfOpTn8o+++zT9L7f+c53cuqpp2bOnDn5yEc+kv/+7/9u40oZD6GE9untrf2XpGZiyWi6upLVq5P58ydkWQDAL5s375dfjxg/6hqx5KwsH3VOLAGmu+c85zk544wzctddd+Waa67J61//+qb3/dGPfpSPfvSj6e7uzuLFi/Otb32rjStlSwgltFersUQkAYC26+1NBl9u35fFI8ePup0zkHOybMy5DAwkixdPwCoBOtesWbPytre9LWvWrMmtt96ad77zndluu+2a2vfJJ5/MypUr84pXvCJvfOMbs3r16mzevLnNK2Y0QgntN95YIpIAwFZx2mnJDjs883px+vJYxv65PWYkSVw+C8w4hxxySD73uc9l3bp1+fCHP5znPe95Te974403ZuHChTnggANy4YUX5rHHHmvjShmJUMLW0dubnHNO87GkqytZulQkAYCt4OUvTw466JmzStakNwuzqqlYMir/0QOYwX7lV34l5557bjZs2JDPfOYz2W+//Zre97/+679y+umnZ/bs2fnwhz+c733ve21cKUN56k0bzfin3gw21qOCh+MvVwCw1dx/f3Lggb/8o3qse5WMys9xgF+yefPmXHfddTnvvPNyww03bNG+2267bY477rgsWbIkr3zlK9u0wpnHU2+YPOOJJEltfsGCZM2atiwLAHjGvHm1B9YNflLluM8sEUkAnmWbbbbJkUcemS996Uv51re+lXe9613ZfrjHjg1j06ZNueSSS9LT05PXv/71ufrqq/P000+3ecUzl1BCe403kjSIJQCw1Rx7bO12Il1dv3wZzrKc03wscfkswJgOPPDA/P3f/30efPDBnHPOOdljjz2a3vff//3fc/TRR2e//fbLpz71qTz66KNtXOnM5NKbNprxl960GkkG81+mAGCruf/+5J3vTG67LTnsif5cs3kLL7/xcxtgizz++OO55JJLct555+Xb3/72Fu2766675tRTT8173/vezJkzp00rnJ5GuvRGKGmjGR9K5s5N1q8fe66rq7mY0t2drFvX6qoAgCbd//f9edFpC7PDJvcoAdgaqqrKDTfckBUrVuS6667bon1nzZqVt7/97VmyZEle85rXtGmF04t7lLD19fWN/ZSbxum5zcz19U3Y0gCAMfT3Z977xhlJEpfPAoxDKSW/8Ru/kWuvvTbf+c538u53vzs77rhjU/s+/fTTueyyy3LooYfmsMMOy5VXXplNmza1ecXTk1BC+/T2JqtWjRxBGv+l6ayzxp5btar2eQBA+03U5bNiCcC47b///vnsZz+bDRs25KMf/Whe8IIXNL3vzTffnHe84x3ZZ599smLFivz0pz9t40qnH5fetNGMv/SmYbi/bA13Ou5IcyIJAGxdLp8F6DhPPPFELrvssqxYsSLf/OY3t2jfXXbZJaecckre9773Ze+9927TCqcel94weYaeWTLSNcvDzYkkALD1uXwWoOPssMMOOemkk3LbbbflxhtvzG/+5m+mlNLUvo888kjOP//87LPPPjnmmGNy0003xUkTIxNK2DoaEaS7e/Qbuw2eE0kAYHK4fBagY5VS0tvbm3/5l3/JXXfdldNPPz1dY0Xrus2bN+eqq67K6173urzmNa/JpZdemqeeeqrNK556XHrTRi69AQCmNJfPAkwJ//M//5O//du/zac+9al873vf26J999prr7z3ve/Nqaeemt12261NK+xMLr0BAGDLuHwWYEp43vOelw9+8IN54IEHcskll6Sn51n/9h/Rxo0b88EPfjCzZ8/OGWeckXvuuaeNK50ahBIAAEbm8lmAKWO77bbLCSeckK997Wv5yle+kqOPPrrp+5g89thjueCCC7LffvvlqKOOypo1a2bsfUxcetNGLr0BAABgMt1///355Cc/mb//+7/Po48+ukX7HnzwwVmyZEmOO+64bL/99m1a4eRx6Q0AAADMMPPmzcv555+fjRs35uMf/3jmzJnT9L633XZbTjrppMydOzfnnntufvzjH7dxpZ1DKAEAAIBpbtddd82ZZ56Z++67L5dffnle+9rXNr3v97///Zx99tmZPXt2TjvttNx1111tXOnkE0oAAABghth2223zjne8I//xH/+Rm2++Occee2xmzZrV1L4///nP89nPfjb7779/jjzyyHzpS1+alvcxEUoAAABgBjr00ENz2WWX5b777suZZ56Z5z73uU3ve+211+aII47IK17xilx88cV5/PHH27jSrUsoAQAAgBmsu7s7H//4x7Nx48Z84hOfyLx585re94477sgpp5yS7u7uLFu2LD/84Q/buNKtQygBAAAAsssuu+R973tf7r777lx11VU5/PDDm973hz/8YZYuXZo5c+bklFNOyZ133tnGlbaXUAIAAAD8wqxZs3L00Ufn3//93/P1r389J5xwQrbddtum9n3iiSdy8cUX58ADD8wRRxyRa6+9Nps3b27ziieWUAIAAAAMq6enJ5dcckkeeOCBfOhDH8puu+3W9L5f+tKXcuSRR+alL31pLrroovz85z9v40onjlACAAAAjGqvvfbKX/zFX2TDhg254IILsu+++za971133ZX3vOc9mT17ds4+++x8//vfb+NKWyeUAAAAAE3Zeeedc/rpp+euu+7KF7/4xfT29ja9749//OOce+656e7uzsknn5zbb7+9jSsdP6EEAAAA2CLbbLNNFi5cmBtvvDG33XZbTj755Gy33XZN7fvUU0/lc5/7XA4++OD09vbmi1/8Ykfdx0QoAQAAAMbtoIMOysqVK7N+/fqcffbZ2X333Zved82aNXnb296Wl7zkJbngggvy2GOPtXGlzRFKAAAAgJa98IUvzEc/+tFs2LAhF110Ufbff/+m973nnntyxhlnZPbs2fnQhz6UjRs3tnGloxNKAAAAgAmz00475dRTT82dd96Za6+9NkcccUTT+/7kJz/Jxz72sey999454YQTsnbt2jaudHhCCQAAADDhttlmm7zlLW/J9ddfnzvuuCOnnHJKdthhh6b23bRpUy699NK86lWvyuGHH56rrroqTz/9dJtXXCOUAAAAAG31spe9LH/3d3+XBx98MMuWLcuee+7Z9L5f/epXc8wxx2TffffNJz7xiTzyyCNtXKlQAgAAAGwle+65Zz7ykY9k/fr1ufjii3PggQc2ve8DDzyQ97///dlrr71y5plnZv369W1Zo1ACAAAAbFU77rhjFi9enG9+85u54YYbcuSRRza9789+9rOsWLEi8+bNy7HHHpubb755QtcmlAAAAACTopSSN77xjVm9enW++93v5rTTTstOO+3U1L6bN2/OFVdckcMOOyyHHnpoLr/88mzatKnlNQklAAAAwKR7yUtekgsvvDAbNmzIueeemxe+8IVN73vLLbfkuOOOy4tf/OJ8/OMfz8MPPzzudQglAAAAQMfYfffd8+EPfzjr1q3L5z//+Rx88MFN7/vggw/mrLPOyuzZs/MHf/AHue+++7b4+EIJAAAA0HG23377nHjiibn11luzZs2aHHXUUSmlNLXvo48+mk9+8pPZd999c/TRR+crX/lKqqpqal+hBAAAAOhYpZS8/vWvz9VXX5277747Z5xxRnbeeeem9q2qKldffXV+/dd/Pa961atyySWX5Kmnnhp1H6EEAAAAmBL22WeffOpTn8qGDRuyfPny7LXXXk3ve+utt+bEE0/M3Llz85d/+ZcjzpVmTz1hy/X09FRr166d7GUAAADAtPTUU0/lC1/4Qs4777x87Wtf29Ldb62qqmfom84oAQAAAKak7bbbLscff3z+8z//MzfddFOOOeaYbLNNa6lDKAEAAACmtFJKDjvssFx55ZW59957s2TJkuyyyy7j+iyhBAAAAJg29t5776xYsSIbN27MihUrMnfu3C3aXygBAAAApp3nPve5WbJkSe65555ceeWVOeyww5raTygBAAAApq1tt902xxxzTG666abccsstOf744zNr1qwR54USAAAAYEZ49atfnUsvvTT333//iDNCCQAAADCjzJkzZ8TvCSUAAAAAdUIJAAAAQJ1QAgAAAFAnlAAAAADUCSUAAAAAdUIJAAAAQJ1QAgAAAFDXkaGk1BxXSllVStlYSnmilPL9UsqXSym/W0rZdgKPNaeU8p5SyiWllDtLKT8rpTxZSnmolPLVUsqfllJGfsAyAAAAMG1MWHCYKKWU3ZJcmeQNQ771gvqvNyT5vVLK0VVVPdjisa5O8rYkZZhvP7/+69eS/D+llLOrqvp4K8cDAAAAOltHhZJSyvZJrklyeP2tDUkuSnJvkr2SvCvJ/kkOSXJtKeW1VVX9rIVDvizPRJKvJ+lPcneSn9WPd0xqoWSHJH9VStmhqqpzWzgeAAAA0ME6KpQk+b08E0m+keRNVVX9pPHNUsqnk1yd5M1JDkjyJ0nOauF4jye5IMmnqqr6r2G+f14p5f1Jzqu/XlpKuaKqqrtbOCYAAADQoTrmHiX1+478cf1lleSkwZEkSaqqejzJSUkeq7/13lLK7i0c9vCqqs4YIZI0jnl+ki/UX26b5HdaOB4AAADQwTomlKR275E96ttfrqrq28MNVVX1wyT/t/5yhyRHjfeAQ0PMKK4YtH3geI8HAAAAdLZOCiVHDNq+bozZwd9/SxvWMtQjg7Z32grHAwAAACZBJ4WSlw3avnWM2bUj7Ncug4+xfiscDwAAAJgEnRRKfnXQ9roxZjcmebq+vW8pZbjH+06I+r1TFg96a3W7jgUAAABMrk4KJf9r0PaPRhusqmpTao/wTWo3WN25XYtK8odJXlLfviNCCQAAAExbnRRKnjNo+/Em5n8+aHuXCV5LkqSU0pvko/WXm5K8p6qqzWPs8+5SytpSytqHHnqoHcsCAAAA2qSTQklHKaW8JLWn3Wxbf+vDVVXdPNZ+VVVdVFVVT1VVPXvsscdY4wAAAEAH6aRQ8uig7R2bmB/89JlHRpwah1LK3km+lGT3+lvnV1X1VxN5DAAAAKDzdFIoeXjQ9u4jTuUXN1h9bv3lpiSPTdQiSimzk9yYZK/6W5+pqmrJRH0+AAAA0Lk6KZTcPWh77hizeyWZVd++p6qqaiIWUEr5ldQiSeP4Fyc5fSI+GwAAAOh8nRRK7hy03TPG7ODv3zni1BYopbwgtUiyT/2tS5KcOlERBgAAAOh8nRRKrh+0/eYxZt8yaPu6Vg9cStkjyZeT7Fd/67IkJ4/1hBsAAABgeumkUNKfpPE83TeVUl463FApZc8kx9dfPp7kmlYOWkp5XpIbkhxQf+uqJCdWVfV0K58LAAAATD0dE0qqqtqU5Nz6y5Lkc6WU3QbPlFJ2TPIPSXauv/Xpqqp+PNznlVJWllKq+q+lI8zsmuTfkry8/ta/JDm+vhYAAABghtl2shcwxIVJjklyeJJDknyzlPLZJPemdgPXU5LsX5/9TpI/a/F41yZ5ZX37/0vtviQLSimj7TNQVdW/tXhcAAAAoAN1VCipqurJUspRSa5M8oYkszN8DPlGkqOrqvppi4d87aDtX0nt3iRjWZ+xn8oDAAAATEEdc+lNQ1VVP0nyptTuQ7I6tTM9nkzyg9SeSvPuJK+pqurBSVskAAAAMC111BklDfVH8l6W5s7wGOkzFiVZNMbMqNfYAAAAADNLx51RAgAAADBZhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBIAAACAOqEEAAAAoE4oAQAAAKgTSgAAAADqhBKmn/7+ZO7c2teJmAMAAGDGEEqYXvr7k4ULk/Xra1/XrGluTiwBAAAgQgnTSSN+DAzUXg8MJAsWPDuWDDcnlgAAABChhOliaPxoGBpLRpsTSwAAAGY8oYSpb6T40dCIJcuXjz0nlgAAAMxopaqqyV7DtNXT01OtXbt2spcx/c2dW7vXyFi6ukaOJIN1dyfr1rW6KgAAADpYKeXWqqp6hr7vjBKmvr6+WgQZSzORpKsrWbmy5SUBAAAwNQklTH29vcmqVc3FktF0dSWrVyfz50/IsgAAAJh6hBKmh1ZjiUgCAABAhBKmk/HGEpEEAACAOqGE6aW3NznnnOZjSVdXsnSpSAIAAEASoYTppr8/WbasuRu3JrW5pUuTNWvauSoAAACmCKGE6aO/P1m4sPlI0jAwkCxYIJYAAAAglDBNjDeSNIglAAAARChhOmg1kjSIJQAAADOeUMLUt3hxc5GkmRu8Dgwkixa1vCQAAACmJqGEqa+vb+wI0ni6TTNzfX0TtjQAAACmFqGEqa+3N1m1auQI0tWVrF6dnHXW2HOrVtU+DwAAgBlJKGF6GCmWNCLJ/Pljz4kkAAAAM55QwvQxNIIMjSSjzYkkAAAARChhumlEkO7u4SPJcHMiCQAAAHXbTvYCYML19ibr1k3cHAAAADOGM0oAAAAA6oQSAAAAgDqhBAAAAKBOKAEAAACoE0oAAAAA6oQSAAAAgDqhBAAAAKBOKAEAAACoE0oAAAAA6oQSAAAAgDqhBAAAAKBOKAEAAACoE0oAAAAA6joylJSa40opq0opG0spT5RSvl9K+XIp5XdLKdu24Zg7l1I+UEq5qZTyw1LK46WU9aWUy0opb57o4wEAAACdZ8KDQ6tKKbsluTLJG4Z86wX1X29I8nullKOrqnpwgo55cP2Y84Z8a07917GllH9Ksriqqicn4pgAAABA5+moUFJK2T7JNUkOr7+1IclFSe5NsleSdyXZP8khSa4tpby2qqqftXjM7iTXJvnf9be+luQfk/woyYFJ3p1k9yQnJNmc5J2tHA8AAADoXB0VSpL8Xp6JJN9I8qaqqn7S+GYp5dNJrk7y5iQHJPmTJGe1eMzz80wkuTjJqVVVba6/vrSU8pkkX0ntzJITSyn/t6qq1S0eEwAAAOhAHXOPkvp9R/64/rJKctLgSJIkVVU9nuSkJI/V33pvKWX3Fo75iiT/p/7ywSS/PyiSNI75YGoBp2HpeI8HAAAAdLaOCSWp3Xtkj/r2l6uq+vZwQ1VV/TDJ/62/3CHJUS0c87hB2xfVQ8xwrk3t8p8k6SmlvLiFYwIAAAAdqpNCyRGDtq8bY3bw99/S7mNWVVUluX7QW56CAwAAANNQJ4WSlw3avnWM2bUj7Ne0Uso2qd0YNkk2Jflmu48JAAAAdLZOCiW/Omh73RizG5M8Xd/et5RSxnG8vZJ01be/V1XVpjHm1w/a/tURpwAAAIApq5NCyf8atP2j0QbrUaPxWOBtk+zczuPV/XiEfX9JKeXdpZS1pZS1Dz300DiWBQAAAEyWTgolzxm0PdJNVQf7+aDtXTrleFVVXVRVVU9VVT177LHHSGMAAABAB+qkUDKZqsleAAAAADD5OimUPDpoe8cm5ncatP1Ii8fbacSpiTseAAAA0OE6KZQ8PGh799EGSynbJnlu/eWmJI+183jDzDw84hQAAAAwZXVSKLl70PbcMWb3SjKrvn1PVVXjuXRmY5KBxufV48tougdt3z3iFAAAADBldVIouXPQds8Ys4O/f+eIU6Ooqmpzku/WX26b5BXtPiYAAADQ2ToplFw/aPvNY8y+ZdD2de0+ZimlDPn+9SPNAgAAAFNXJ4WS/iQP1bffVEp56XBDpZQ9kxxff/l4kmtaOOblg7bfU0oZ6Sayb02yT317bVVV97VwTAAAAKBDdUwoqapqU5Jz6y9Lks+VUnYbPFMPGf+QZOf6W5+uqurHw31eKWVlKaWq/1o6wjG/meTq+ss5ST5dSvml/5+UUuYkuXDQW8N+FgAAADD1jXUD063twiTHJDk8ySFJvllK+WySe1O7gespSfavz34nyZ9NwDHfn+S1Sf53/fNfVkr5fJIfJzkwyXvyzBNvLqmqavUEHBMAAADoQB0VSqqqerKUclSSK5O8IcnsDB9DvpHk6KqqfjoBx1xfSnlr/Zjzkrym/muof0ryrlaPBwAAAHSujrn0pqGqqp8keVNq9yFZneT/S/Jkkh8kuTHJu5O8pqqqByfwmLcleXmSM5PcnORHSZ5IsiHJFUneWlXV71RV9eREHRMAAADoPKWqqslew7TV09NTrV27drKXAQAAAAxRSrm1qqqeoe933BklAAAAAJNFKAGAVvX3J3Pn1r5OxBwAAJNGKAGAVvT3JwsXJuvX176uWdPcnFgCANCRhBIAGK9G/BgYqL0eGEgWLHh2LBluTiwBAOhIQgkAjMfQ+NEwNJaMNieWAAB0HKEEALbUSPGjoRFLli8fe04sAQDoKB4P3EYeDwwwTc2dW7vXyFi6ukaOJIN1dyfr1rW6KgAAtoDHAwPAROnrq0WQsTQTSbq6kpUrW14SAAATQygBgC3V25usWtVcLBlNV1eyenUyf/6ELAsAgNYJJQAwHq3GEpEEAKAjCSUAMF7jjSUiCQBAxxJKAKAVvb3JOec0H0u6upKlS0USAIAOJZQAQCv6+5Nly5q7cWtSm1u6NFmzpp2rYqbr7689nWmsR083OwcAM4hQAgDj1d+fLFzYfCRpGBhIFiwQS2iPxp/L9etrX0f6czZ0TiwBgCRCCQCMz3gjSYNYAKtlVQAAIABJREFUQjsM/XM50p+z4ebEEgBIIpQAwJZrNZI0iCVMpJH+XA79czbanFgCAEIJAGyxxYubiyTN3OB1YCBZtKjlJTHDjRXvGrFk+fKx58QSAGY4oQQAtlRf39gRpPF0m2bm+vombGnMUM3Eu4GB5m48PDBQ+zwAmKGEEgDYUr29yapVI0eQrq5k9erkrLPGnlu1qvZ50Ipm4l3S/JlQK1e2vCQAmKqEEgAYj5FiSSOSzJ8/9pxIwkQZK941a+ifXwCYgYQSABivof84HekfmcPNiSRMtFZjiUgCAEmEEgBoTeMfp93do/8jc/CcSEK7jDeWiCQA8AulqqrJXsO01dPTU61du3aylwEAzDTLlzd349bkmRsPn3VW25cFAJ2klHJrVVU9Q993RgkAwHTS3998JElqc0uXJmvWtHNVADBlCCUAANNFf3+ycGHzkaRhYCBZsEAsAYAIJQAA08N4I0mDWAIASYQSAICpr9VI0iCWAIBQAgAw5S1e3PyNW8cyMJAsWtTykgBgqhJKAACmur6+sSNI4+k2zcz19U3Y0gBgqhFKAACmut7eZNWqkSNIV1eyenXtEcBjza1aVfs8AJihhBIAgOlgpFjSiCTz5489J5IAgFACADBtDI0gQyPJaHMiCQAkEUoAAKaXRgTp7h4+kgw3J5IAwC9sO9kLAABggvX2JuvWTdwcAMwgzigBAAAAqBNKAAAAAOqEEgAAAIA6oQQAAACgTigBAAAAqBNKAAAAAOqEEqDz9fcnc+fWvk7EHAAAwAiEEqCz9fcnCxcm69fXvq5Z09ycWAIAAIyDUAJ0rkb8GBiovR4YSBYseHYsGW5OLAEAAMZBKAE609D40TA0low2J5YAAABbSCgBOs9I8aOhEUuWLx97TiwBAAC2QKmqarLXMG319PRUa9eunexlwNQzd27tXiNj6eoaOZIM1t2drFvX6qoAAIBppJRya1VVPUPfd0YJ0Hn6+moRZCzNRJKurmTlypaXBAAAzAxCCdB5enuTVauaiyWj6epKVq9O5s+fkGUBAADTn1ACdKZWY4lIAgAAjINQAnSu8cYSkQQAABgnoQTobL29yTnnNB9LurqSpUtFEgAAYFyEEqCz9fcny5Y1d+PWpDa3dGmyZk07VwUAAExTQgnQufr7k4ULm48kDQMDyYIFYgkAALDFhBKgM403kjSIJQAAwDgIJUDnaTWSNIglAADAFhJKgM6zeHFzkaSZG7wODCSLFrW8JAAAYGYQSoDO09c3dgRpPN2mmbm+vglbGgAAML0JJUDn6e1NVq0aOYJ0dSWrVydnnTX23KpVtc8DAABoglACdKaRYkkjksyfP/acSAIAAGwhoQS2RH9/Mndu7etEzDG6oRFkaCQZbU4kAQAAxkEogWY1nsSyfn3t60hPUhk6J5a0phFBuruHjyTDzYkkAADAOJWqqiZ7DdNWT09PtXbt2sleBhNhuMfVDnd2w0hz/uEOAADQUUopt1ZV1TP0fWeUwFiGix9J7fWCBc+cWTLanDNLAAAApgShBEYzUvxoaMSS5cvHnhNLAAAAOp5Lb9rIpTfTwNy5tXuNjKWra+RIMlh3d7JuXaurAgAAoEUuvYHx6Ot79mNnh9NMJOnqSlaubHlJAAAAtI9QAqMZ+tjZ8RrpsbYAAAB0FKEExtJqLBFJAAAApgyhBJox3lgikgAAAEwpQgk0q7c3Oeec5mNJV1eydKlIAgAAMIUIJdCs/v5k2bLmbtya1OaWLk3WrGnnqgAAAJhAQgk0o78/Wbiw+UjSMDCQLFgglgAAAEwRQgmMZbyRpEEsAQAAmDKEEhhNq5GkQSwBAACYEoQSGM3ixc1FkmZu8DowkCxa1PKSAAAAaB+hBEbT1zd2BGk83aaZub6+CVsaAAAAE08ogdH09iarVo0cQbq6ktWrk7POGntu1ara5wEAANCxhBIYy0ixpBFJ5s8fe04kAQAAmBKEEmjG0AgyNJKMNieSAAAATBlCCTSrEUG6u4ePJMPNiSQAAABTyraTvQCYUnp7k3XrJm4OAACAjuKMEgAAAIA6oQQAAACgTigBAAAAqBNKAAAAAOqEEgAA2q+/P5k7t/Z1IuYAoE2EEgAA2qu/P1m4MFm/vvZ1zZrm5sQSACaBUAIAQPs04sfAQO31wECyYMGzY8lwc2IJAJNAKAEAoD2Gxo+GobFktDmxBICtTCgBAGDijRQ/GhqxZPnysefEEgC2olJV1WSvYdrq6emp1q5dO9nLAADY+ubOrd1rZCxdXSNHksG6u5N161pdFQD8Qinl1qqqeoa+74wSAAAmXl9fLYKMpZlI0tWVrFzZ8pIAoBlCCQAAE6+3N1m1qrlYMpqurmT16mT+/AlZFgCMRSgBAKA9Wo0lIgkAk0AoAQCgfcYbSwZHkv7+2j1P3NAVgK1AKAEAoL16e5Nzzmk+lnR1JUuXPhNJFi6s3RjW028A2AqEEgAA2qu/P1m2rLkbtya1uaVLk/PO++VHB3tUMABbgVACAED7NM4IaTaSNAwMJB/4wLP3E0sAaDOhBACA9hhvJBmLWAJAG3VkKCmlvKWUclkpZX0p5fFSyg9LKTeVUpaUUnaewOPsUUo5qZRycSnltlLKw6WUp0opPy6lfL2U8tellP0n6ngAADNGuyJJw8BAsnhxez4bgBlt28lewGCllB2S9CX57SHf2qP+67Akv19K+a2qqr7V4rE+meT0JLOG+fbz6r96kry/lHJekg9WVfV0K8cEAJgxFi9uXyRJajd8XbmyfZ8PwIzVUaEkyT8kOa6+/eMkFyW5I8nzk5yY5NVJXpzkulLKa6qq2tDCsQ7IM5Hk20lurB/r4SR7JlmQ5K2pnXVzZpJdk5zawvEAAGaOvr72nVEy+NHBADDBSlVVk72GJEkp5agkV9dfPpjk8KqqHhz0/W2S/F2SxjmWV1ZV9Y4Wjnd9koeSnFdV1a0jzLw9yaV5Jii9saqqG5s9Rk9PT7V27drxLhEAYGprx+U3IgkAE6SUcmtVVT1D3++ke5QsHbT9e4MjSZJUVbU5ye+nFlGS5O2llJe1cLzjq6o6caRIUj/mlUk+Meitk1s4HgDAzNLbm6xaVYsbg3V1JStWPPv9sYgkAGwFHRFKSin7Jjmo/vKeqqr+dbi5qqp+nuRvB7117HiPWVXVT5ocvWLQ9oHjPR5Maf39ydy5Yz9doNk5AGaOobGkETuWLEnOOaf5WNLVlSxdKpIA0HYdEUqSvHnQ9vVjzF43aPstbVjLUI8M2t5pKxwPOkvjtOn162tf16xpbk4sAaChEUu6u585I6S/P1m2rPnLcgYGaqFkpJ9DADBBOiWUDL6EZsRLYepuT9J4+swBpZTSniX9wuC1rW/zsaCzDL22fGAgWbDg2X9JHW5OLAFgsN7eZN26ZyLJeO5dMtLPIQCYQJ0SSn510Pa60QarqtqU5Hv1lzsneVGb1tQw+Ek3q9t8LOgcI/0lduhfUkebE0sAGKrVG7yKJQC0WaeEkv81aPtHTcz/eIR9J1Qp5fgkb6q//EGSi9t1LOgoY/0ltvGX1OXLx54TSwBomKin4IglALRRp4SS5wzafryJ+Z8P2t5lgteSJCmlHJDkokFvvbeqqsea2O/dpZS1pZS1Dz30UDuWBu23ePHYf4kdGGju2vKBgdrnAUAzP1+S5m7wOjCQLFrU8pIAYKhtmx0spfxukr0m4qBVVS0d7dsTcYxWlFJekOSLeSbC/E1VVVeMsssvVFV1UeqBpaenZ9L/b4Fx6etr7r/4NfuX3ZUrJ2RZAExxzfx8aTzdZunSsef6+iZ6hQDQfChJ8rtJXjNBx1065PWjg7abebLM4JlHRpwah1LK85L8W5J59beuTPK+iTwGdLzG0wlaPT268QhIj3IEIBn758vgnxs9PaPPrVpV+zwAmGCdcunNw4O2d29ifvDMwyNObaFSyq6pRZID6299MckJVVU9PfJeME01/jLbzOnPwxFJABjOSD9fhv7cGG1OJAGgjZoOJVVVHVpVVZmIX8N8/N2DtueOto5SyrZ55kk3j+WZJ+C0pJSyS5Lrk7yy/tb1Sd5RVdVTE/H5MCWNN5aIJACMZujPl5F+bgw3J5IA0GadckbJnYO2e8aYPSjJrPr2d6qqavk+IKWU5yS5Ns9cWnRjkv9TVdUTrX42THm9vck55zQfSxrXloskAIymEUG6u0eP64PnRBIAtoItuUdJO10/aPvNY8y+ZdD2da0euJTSlWRVkl+rv/XvSX6zqqpmnr4D019/f3NPt2kYGKiFkle9SiwBYHS9vcm6dRM3BwAToCPOKKmq6p4kt9Vf7ltKeetwc6WUHZOcOuity1s5bv3zrkny+vpb/5FkQVVVLdy9EqaR/v7x3dB1YCBZsCBZs6YtywIAAGiXjggldcsGbV9YSpkz+JullG2SXJCk8f6VVVUNvmRn8OzSUkpV/7VyhJntk3whyZvqb92S5K1VVT063DzMOOONJA1iCQAAMAV1yqU3qarqmlLKZUmOS9Kd5NZSymdTu3/J7klOSvLq+vj3k3ygxUOuTHJkffuRJBcmeUMpw91r9pfWeXWLx4XO12okaWjEEjd2BQAApoiOCSV1Jyepkhyf5PlJ/niYmfuSHFNV1YYWj3XYoO1dUgsnzRi9pMB0sHhxc5Gkq2vsuYGBZNEi15YDAABTQiddepOqqp6oquq3k7w1yRVJNiR5IsmPktyc2lkkr6iq6puTt0qYAfr6xn7KTePpNs3M9fVN2NIAAADaqUzA03UZQU9PT7V27drJXgaMz2iX33R1PXM5zVhzHuUIAAB0oFLKrVVV9Qx9v6POKAE6SG9vLXIMPWNkcCQZa04kAQAAphihBBjZ0AgyNJKMNieSAAAAU5BQAoyuEUG6u0d/es3gOZFk5urvT+bOrX2diDkAANjK3KOkjdyjBJhRBt+vZqSzj4abE9YAAJgE7lECQPsMvanvwECyYEGyZs3YcwsXOrMEAICOIZQA0JqRnnw0NJaMNieWAADQIYQSAMZvtMdDJ8/EkuXLx54TSwAA6ADuUdJG7lECTHtz5ybr148919U1ciQZrLs7Wbeu1VUBAMCY3KMEgInX1/fMY6FH00wk6epKVq5seUkAANAKoQSA8Ws8FrqZWDKa0Z6SAwAAW5FQAkBrWo0lIgkAAB1EKAGgdeONJSIJAAAdRigBYGL09ibnnNN8LOnqSpYuFUkAAOgoQgkAE6O/P1m2rLkbtya1uaVLkzVr2rkqAADYIkIJAK3r708WLmw+kjQMDCQLFoglAAB0DKEEgNaMN5I0iCUAAHQQoQSA8Ws1kjSIJQAAdAihBIDxW7y4uUjSzA1eBwaSRYtaXhIAALRCKAFg/Pr6xo4gjafbNDPX1zdhSwMAgPEQSgAYv97eZNWqkSNIV1eyenVy1lljz61aVfs8AACYREIJAK0ZKZY0Isn8+WPPiSQAAHQIoQSA1g2NIEMjyWhzIgkAAB1EKAFgYjQiSHf38JFkuDmRBACADiOU0Lr+/mTu3NrXiZgDpq7e3mTdupEjydA5kQQAgA4jlNCa/v5k4cJk/fra1zVrmpsTSwAAAOhAQgnj14gfAwO11wMDyYIFz44lw82JJQAAAHQgoYTxGRo/GobGktHmxBIAAAA6jFDClhspfjQ0Ysny5WPPiSUAAAB0kFJV1WSvYdrq6emp1q5dO9nLmHhz59buNTKWrq6RI8lg3d21mzoCAADAVlJKubWqqp6h7zujhC3X11eLIGNpJpJ0dSUrV7a8JAAAAJgIQglbrrc3WbWquVgymq6uZPXqsR8jCgAAAFuJUML4tBpLRBIAAAA6kFDC+I03logkAAAAdCihhNb09ibnnNN8LOnqSpYuFUkAAADoSEIJrenvT5Yta+7GrUltbunSZM2adq4KAAAAxkUoYfz6+5OFC5uPJA0DA8mCBWIJAAAAHUcoYXzGG0kaxBIAAAA6kFDClms1kjSIJQAAAHQYoYQtt3hxc5GkmRu8Dgwkixa1vCQAAACYCEIJW66vb+wI0ni6TTNzfX0TtjQAAABohVDCluvtTVatGjmCdHUlq1cnZ5019tyqVbXPAwAAgA4glDA+I8WSRiSZP3/sOZEEAACADiOUMH5DI8jQSDLanEgCAABABxJKaE0jgnR3Dx9JhpsTSQAAAOhQ2072ApgGenuTdesmbg4AAAAmiTNKAAAAAOqEEgAAAIA6oQQAAACgrlRVNdlrmLZKKQ8lWT/Z65gkz0/yo8leBFud3/eZx+/5zOT3febxez4z+X2fefyez0wz+fe9u6qqPYa+KZTQFqWUtVVV9Uz2Oti6/L7PPH7PZya/7zOP3/P/v717D7arLO84/v0RGtAIaUi5qBBCERDkIpeBgrVVKpXAWOpYTGpRaLnVC/WC4yjMtMEWaUWn1FJRtEwQsFJASBETrMGWacXKvQTaSYIlAspVbiHcAk//eN/jXjln77PPvq33ZO/fZ+ads9Y671nPnvXstfZ73r3W+44m5330OOejyXmfyI/emJmZmZmZmZll7igxMzMzMzMzM8vcUWKDcmHpF2BFOO+jxzkfTc776HHOR5PzPnqc89HkvI/jMUrMzMzMzMzMzDLfUWJmZmZmZmZmlrmjxMzMzMzMzMwsc0eJmZmZmZmZmVnmjhLriaQjJV0uaa2k5yU9Iuk/JX1c0qw+xtlW0gckXSTpdklPSnpJ0uOSbpb0RUl79iveKFGyUNJ3JD0g6QVJP5e0QtJJkjYfQMxZkj6R3yuP5PfO2vxeeme/49nG6sy5pHmSTpV0maSVkp6W9KKkRyX9h6TPSprXr3jWWolzvclr2EbSQ5KiUuYPOu6oKpVzSTMkHSvpW5LWSFqXz/3VkpZJ+pSk3QYR24p9rh8t6Zs5x+vydf4xST+U9DlJu/Y7piX5fNtb0gmS/l7STZLWV66xiwcU1225QurO+ci25SLCxaXjAmwBfBOIScoaYN8+xPoSsKFNrABeBr4AzCh9fDaVAswBVrQ5rrcC8/oYc3/g3jYxLwNmlj4+w1jqzDlwDfDKFM7d54FPlj42w1xKnOstXseSJnHnlz4+w1hK5Txf42+bwnl/XuljNIyl7rwDvwb8YAr5fgH4VOnjM4wFuKrNsV88gJhuy41Izke5LTfwb49saF0MLMzLj5OmlLqL9IF5HHAwsCuwXNIhEXF/D7H2Ambk5buBG3KsJ4HtgKOBBaQ7pE4HZgMn9xBvJEiaCSwF3po33U/K4xpgR+BPgD2BA4Blkg6NiKd7jLkzsAzYPm/6MXAp8BiwD3AKMBd4H+mi/P5e4tnGCuR8b0B5+WZSY3oV8HSO9x7gLaSO13MlbRERZ/cQz5ooca63eB1HAMeTzu0XgS37HcOSUjmXdBjpGr913nQzcC3wf3l9pxz3qF5j2UR15z3fmbIMOChveh64BLgDeIKU73cBvwnMBP5G0rqI+HK3Ma2pGePWf0Fqmw/kri235aaFOnM+um250j01LpteAY6h0Xu4lnHfSpA6LC6q1Lmix3jXky7AB05S5w+AlyoxDy99nKZ7AT5aOV63AnPG/X5LYHmlzrl9iHl1ZX//CGw27vfz8ntqrM7RpY/TMJW6cw6sBM4H9pikzscq8V4Cdi99nIatlDjXm7yGWcBP8v6/BNxXiTe/9DEatlLo+r496R+lAJ4DFk1Sdwbw2tLHadhKgWv8+yv7+imwc4t6J1fqPQpsXvpYDVMBzgDOyW3hXfK2EyrHfHGf47ktN0I5H+W2XPEX4LLpFeD2yslwVIs6rxp3kdy7h3hzpljvC5V4F5c+TtO5AJsDj+Rj9Qrwphb1tgPW0bilbm4PMfer5GctsGWLekdV6t1c+lgNSymU86meu1dWcn5W6WM1TKVE3lvs/2/zvh8AtsIdJUOXc+BblZwuLH0cRq0UusZfWsn5h9rUvaVSd5/Sx2vYC4P7p9ltuWlaBpjzkW3LeTBX60gefO3NeXV1RHy3Wb2IeA74WmXTe7uNGRFPTLHqFZXlfbqNNyIOB7bNyysi4u5mlSLiEVLjF9Itdcf0EHNhZfnCiHi+Rb1lpNuEAQ7yAHB9U3vOfe5OCyXO9Y1IOhj4s7x6WkQ80699W1O15zzfin9sXr0xIi7vdl/WtRLn+naV5dVt6q6qLPdtsH+rndtyI2aU23LuKLFOVUexvr5N3eWV5SMH8FrGqza+X1VDvE3Z71aWl7esNfH3veRxSjEjdUtX31seOb0/SuR8qnzuDk7RvEv6FfKt2cDSiLi6H/u1SZXI+fE02pRf72E/1r0SeX+4stxubISx37/Mxp0mtmlxW85aGbq2nDtKrFN7V5ZvbVP3DtIHIsBekjRZ5T6ovra1A461qeskj7e0+Lspk7QZaQA5SDMY3TnomDZBrTnvkM/dwSmd98/kfa0DPtKnfdrkSuT8tyrLN0iaK+ksSXdVpga+O09juXsPcay1EnlfWln+dL6zaAJJJ9EY8PWSiPhFDzGtELflrI2ha8t51hvrVLWBc99kFSNig6QHSYM6zQJeT3o+fVCqM91cN8A4w2DKeSTl7GXS4Hu7SVL+pqATOwKvzssPRsSGNvWrF1g3qvuj7pxPSZ414Y8rm3zu9lexvEvakzTgHMCZETHI6781lMj52D/BTwE7k6au3GFcnb1y+aCkz0TEuV3EsdZK5P0q0sCe7ybNcPO/kr7BxrPe/B5p1hty3dO6iGPTg9ty1tSwtuXcUWKd+tXK8mNTqP84qaNk7G8H0lCWtAh4R159mDTrjrU25TzmDq+ngTmka8Ys0rfDA4mXPd7ib617ded8qj4JvDEv38WQfLhOI0Xynr95/DppDIRbSCPmWz1qzbmkLYDZefVl4Dt5fz8hfRavyevHkB7zmAF8XtKLEfF3ncSySdV+rkdESDoW+CypA2Qr0tSw490G/Dnw3UF1ulst3JazVoayLedHb6xTr6kstxrAqeq5yvJWfX4tAEjaC7iwsum0iHh2ELGGSN15nHbvmxE07XIg6e3AX+bVDcCpEfHKIGKNsFJ5/zBwGOkf51Oc11rVnfM5leVt8vpy0qwrZ0fE5RHxlYhYAPxppe7nJe3YRTxrrsi5HhEvA+cCZwEvtKh2APBp4NBu49i0MO3aEVbeMLflfEfJEMrPgval8RERiyf7dT9i9ELSDsC1NC7AX46IKyb5Eyuv+PvGypP0RtII6WOfQ2dExE0FX5L1iaR5wOfy6nkRcXvJ12MDN/5Lt2eA45rNhhERX5V0BPAeYCbwQeDMwb9EGxRJR5Jm0ZkN/BtwDvBfpH+S55FmQzqT9PjNCkmLImJp873ZJsRtORv6tpw7SobTScAhfdrX4nHr1VszpzKicbVOX6eElLQN8D3g1/OmK2lMQWmTW0fjW8AtaX/Lba95nDbvmxFWd85bkrQL8K/A3LzpPI9XMDAl8n4B6ZvHtcBfdLkP617dOR//N9+OiMeb1kwuJHWUQHpk1h0l/VH7uZ47Sa4jdZZdCSwc903yGuAcSSuAG/PrukTS7hHxUDcxrSi35eyXRqEt50dvrFNPVpbntqzVvM6TLWt1SNJsUifJ2Dzd1wLvy7eAWntTzmMeoGnrvLoB6Oaxpmnxvhlxdee81b53Am6gcdfbVyLi4/3av01Qa94lHQcclVc/7Mcgi6j7XF+X/3bMbW3qV2dk2bWLeNZciWv8F0n/S7wCfLTV7fYR8WNgSV7dCjihy3hWlttyBoxOW853lAyhiPiNAe5+FfD2vDwf+PdWFfMH8evz6rPAg/14AZK2Is3NfmDedD1wbES81I/9j4hVwC55eT6TT+O1I2nwPYDVXQ7E9gCwnjRa+o6SNm8zWnp1isFVXcSzierO+QSSXkf6YJ2fN10EfKgf+7aW6s77ifnnQ8D+kvZvUW92ZfkjksYa0V+LiIe7iGsNteY8D+i5msa0oU+1+ZPq72e3rGWdqjXv+dvkvfLqPRHxszZ/8n3g1Lx8cKfxbFpwW85Gqi3nO0qsUysrywe1rJW8mcYH8T39+GdL0muAZTQeLboB+P2IaDWAmDXXSR6rv1/ZstYk8rdM/5NXNwf2G3RMm6DWnI+XxxO6AXhD3nQZcLJnQBi4uvOu/HMH0uBurUp1BoTTK9tf22Vcayhxrv93ZXnrlrWSaudIu04Vm7q68/66yvLTU6hfzfWsLmNaQW7L2ai15dxRYp26vrL8zjZ1j6wsL+81sKRXk6YdfEvedCPwrmYDxllbJfI4pZiSNO7317eqax0pee5uC6wA9sibLgeOH5ZR0ae5Ynm3YkrkfFll+cCWtSb+3t8y90/dea92juw0hfrVuwsmG8PGpje35UbUKLbl3FFiHYmI1cDYDAa7SVrQrJ6kLYGTK5v+uZe4eX9Lgd/Om34IHB0R63vZ7wj7AfBoXn6HpDc1qyRpO2BRXn2elINuVd8Dp+acNrOARk/1LRFxbw8xraFEzscGXf4+jVu0v02aEcPjCdWj1rxHxNsiQu0KGz8WsEvld3d0E9c2UuJcX0q6JR/g3ZImG7/glMqyO+T6p+68r6ExRexOkg5rU39RZfmWLmNaeW7LjaBRbcu5o8S6cVZl+YI8FeQvSdoM+AfStHAAV0ZE01vuJC2WFLksaVFnJnAVaXR8SNPOLYiIdiO6Wwv5mdKz86qAb0iaU62TP/wupnGL7PmtZjKQtKSSx8UtYt4JXJNX5wHn5/dKdT/zSDNmjGm6L+tciZxXBl3eN2/6F2BRm2earY9K5N3KKnR9f5I0sCekR28uafYPlKRTaMx48ywbX++tB3XnPSKeY+NOlovHtwcr+zoD+J28+gI9fnlmg+G23OhxW25yHszVOhYRSyVdDiwk3Up5q6Svkp4/nAt8gMZAXT8HPtFjyCU0ZlF4hnTxPTzd1Tfp67xm0gp2AanB+lbgAODOnMc1pIHeTqQxON89wF/1IebHgEOB7fP+95Z0Cek23H1IA70TF+TCAAACT0lEQVSNfRN5WURc14eY1lB3zpfRuM3+Z6RnWY9uc+6uj4jv9RjXNlbiXLeySuT8r0nfIh+Uf66UdFGOOQc4Jm8fc2pEPDphL9aLuvN+BnAEsA3p7oGVki4FfgQ8R/pH+lga48oBnBURD/QY1yrywLonjtu8b2X58DzBQtVVEXE73XFbrrCacz66bbmIcHHpuABbAP8ExCRlDbBfm/0srtRf0qLOfW3iNC2lj9GmUEiN1xVtjuWtwLw2+1lSqb+4Td39gXvbxLwMmFn6+AxjqTPn3Zy3wH2lj9EwlhLnepv9VK/r80sfn2Esha7v25IeAZks5nrSc+3Fj9EwlrrzTuqQWTWFa/tLwJmlj88wFuBtXXzWntBtznNdt+VGJOddxBmatpwfvbGuRMQLEfGHpG+HrgDuJ91O+RhwE+kukv0i3aJn01REPEF6pGkRcB2pp/hF4GHSqNanAIdExE/7GPN2Uq/36aT3ymOk9879pPfSgoj4o4h4sV8xraFEzq085330FLq+PwocDryX9FjG/TnmU6Txzc4B3hARF/crpm2s7rxHxG2kz/TjgatJnaDrgQ2kOwx+RLrbaI+IOLvFbmwT47acjQLlniIzMzMzMzMzs5HnO0rMzMzMzMzMzDJ3lJiZmZmZmZmZZe4oMTMzMzMzMzPL3FFiZmZmZmZmZpa5o8TMzMzMzMzMLHNHiZmZmZmZmZlZ5o4SMzMzMzMzM7PMHSVmZmZmZmZmZpk7SszMzMzMzMzMMneUmJmZmZmZmZll7igxMzMzMzMzM8v+H/z9WZeOBHvOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 初始化權重w\n",
    "w=np.zeros(3)\n",
    "# 這裡我們在每一筆輸入資料前加一筆為1的資料\n",
    "# ex:x=[0.2 0.3] --> xx=[1 0.2 0.3]\n",
    "# 加1是為了之後乘上w0，他就會一直保持w0\n",
    "ones=np.ones(30)\n",
    "xx=np.vstack([ones,x[:,0],x[:,1]])\n",
    "# 設定我們演算法要跑幾次\n",
    "T=500\n",
    "# 我們先計算初始狀況有積個分類錯誤\n",
    "# 照理來說電腦一開始會把圈圈和叉叉全部\n",
    "# 分在同一類，所以會有15個分類錯誤\n",
    "error=compute_error(w,xx)\n",
    "print(error)\n",
    "# 開始迴圈\n",
    "for t in range(0,T):\n",
    "    # 這裡引入tmp_error用於比較上一次的error數量\n",
    "    tmp_error=0\n",
    "    # 隨機挑一個錯誤的點\n",
    "    error_x,error_y=search_error(w,xx)\n",
    "    # 更新我們的w\n",
    "    w=w+error_y*error_x\n",
    "    # 然後計算更新後的w，其錯誤的個數\n",
    "    tmp_error=compute_error(w,xx)\n",
    "    # 如果更新後錯誤率下降\n",
    "    # 我們就更新我們的錯誤率\n",
    "    # 並把它畫出來\n",
    "    if(tmp_error<error):\n",
    "        error=tmp_error\n",
    "        print(error)\n",
    "        plot_diagram(w,xx)\n",
    "        # 如果沒有錯誤點就停止迴圈\n",
    "        if(error==0):\n",
    "            break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}