Machine Learning/Breathing-KMeans.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "84106f41",
   "metadata": {},
   "source": [
    "# Daily-Dose-of-Data-Science\n",
    "\n",
    "[Daily Dose of Data Science](https://avichawla.substack.com) is a publication on Substack that brings together intriguing frameworks, libraries, technologies, and tips that make the life cycle of a Data Science project effortless. \n",
    "\n",
    "Author: Avi Chawla\n",
    "\n",
    "[Medium](https://medium.com/@avi_chawla) | [LinkedIn](https://www.linkedin.com/in/avi-chawla/)\n",
    "\n",
    "# Breathing KMeans: A Better and Faster Alternative to KMeans\n",
    "\n",
    "Post Link: [Substack](https://avichawla.substack.com/p/breathing-kmeans-a-better-and-faster)\n",
    "\n",
    "LinkedIn Post: [LinkedIn](https://www.linkedin.com/feed/update/urn:li:activity:7054399156085239809/)\n",
    "\n",
    "Twitter Post: [Twitter](https://twitter.com/_avichawla/status/1648636690045493249)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "68df73a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: bkmeans in /Users/avi/anaconda3/lib/python3.9/site-packages (1.2)\r\n",
      "Requirement already satisfied: scipy in /Users/avi/anaconda3/lib/python3.9/site-packages (from bkmeans) (1.10.1)\r\n",
      "Requirement already satisfied: numpy in /Users/avi/anaconda3/lib/python3.9/site-packages (from bkmeans) (1.24.2)\r\n",
      "Requirement already satisfied: scikit-learn>=0.23.2 in /Users/avi/anaconda3/lib/python3.9/site-packages (from bkmeans) (1.1.3)\r\n",
      "Requirement already satisfied: threadpoolctl>=2.0.0 in /Users/avi/anaconda3/lib/python3.9/site-packages (from scikit-learn>=0.23.2->bkmeans) (3.1.0)\r\n",
      "Requirement already satisfied: joblib>=1.0.0 in /Users/avi/anaconda3/lib/python3.9/site-packages (from scikit-learn>=0.23.2->bkmeans) (1.1.0)\r\n"
     ]
    }
   ],
   "source": [
    "!pip install bkmeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ebf9d82b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "from bkmeans import BKMeans as BreathingKMeans\n",
    "\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a76a0877",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"https://raw.githubusercontent.com/gittar/breathing-k-means/master/data/D31.csv\", \n",
    "                 names = [\"x1\", \"x2\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "aefd4dba",
   "metadata": {},
   "outputs": [],
   "source": [
    "# number of centroids\n",
    "k=31\n",
    "\n",
    "# get data as numpy array\n",
    "X = df.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ce131189",
   "metadata": {},
   "outputs": [
    {
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OiQc3wzBMNibFcpmlrumkrxU2SnmW91WG5zPrMcpZYYU1I7qd+z0Pxp2g7W6fBzfDMEx2JsVymbZI/jSsFTplPUra91WW5zMplv6ywgprRtLs3G1/w4ObYRgmO5PU3nOjeYrvPnGIHz19F9994tAqZnMS1oqghfOxb8e9kEFl3Y9eze99leX5TIqlv6ywwpqRNDt329/w4GYYhslOmdt75uGqLvtaEbVw7hwDL+408Pg74ftWyvqHT9/FtfX83ldZns+kWPrLyuT4C0qKrv3f2QqMO0HbloGP1CX2NBOKBzfDMIwbZWwikFf1grKvFToLZxcCnR5933m+r7I8H24XnA22sGZEt3P/xmdhnGi2u/1JcmMxDMMwbuTlqi77WmFjySzSRa+Pj5U47JkTpPOmzJb+SYAtrDkQ3Qk++OA5fPSR22+o73AvbIZhmOkkL1d12dcKysIZpSgXvXo+m3tzfauu/9+BN/r6rmW09E8KbGF1YBxlMdIE4DMMwzDlJ8+YxjKvFTYVAIDwfee93m40T3G2AgDjT75i0sEKqyVlKYvBMAzDTAdld+XnRbQCgA6B4X0Xtd6WJfmKSQcrrJaUpSwGwzAMMx3MUkyjsgC/vn7ct3QOEZB4brk7uO+i1lvO0p9s2DxoCe/MGIZhmLyZtZjGjeYpzp0DvtL2yHhbal3d6wo88+5C6jhdztKfbFhhtaQsZTEYhmEYpuxsd2pkEtizK8AX64fkb6n1VgDY6/rm2TQlwMqenMaY4ZAAS2Yl1ohhTJShHzfDMOVGF4P60m4DrbfpTldBdOutgIRMSJiykU9lTk5jzLDCakmRsUasBDCTACceMgwTRbd+6WJQ70uBA2/Y6cokO3TrLeXLVJZYnXzSddNiJhchJenSfgzAD/b378Lz2O3tgl+H9ROr70Y7nQC+5XZaA+8nCZf3OAs88+7CwB0XZLXu4btP0O49W0wuxCzwe5we+F2WC2r9OpJAtHyUDhfZQckfAYlr676bX/d5EF5b8yXv+VipCCwvLwLApwG8H/s8tzPNGHlZRbn6ADMpFJl4yNZbZpywlysd1PpVtfy9i+zYXDmB0NhZJQRe2GlYNSbgtXWyYYU1BXkurklKAAtSpiwUWRKGN27MuEgrz8ctm8dx/ug5KSWxBzg3Ckhio3lKhgX0oLpXJcOVfSYXVlgtiE7Sl2+5La4mwWJSAtjqxJSJIhMPuWwcMy7SbJbSyOY8FcxRrQ3Ba378nQW8uBM+J8VqXYZiUJtVD3Vklx2rOWyOubLP5MIKawI6wXDg2S+uSYLFpASw1YkpE0UmHnJBb2ZcpNksucrmvBXMUawN0Wvu9CroxqyY8Wek1q9gNv57Tx7iZ5a7qEICkKgCuNjsOsuOzZWTmOLrAlf2mWxYYU1AJxgo14NucU0SLCYloOiYQdNuf9zuLqacFFUShsvGMeMizWbJVTbnrWCOwiOhX/tM0JvY7U4N1zv1geu+B+B6p+68rmw0T3GumlZh5YSrSYcV1gRoARCvEXfhfHwi2AgWSgkoyuqUtNvnUARmlAzL4GBggZnmFpVMuUizWXKVzXkrmDbnz2p0cL02AZCb2DwV9oNeume2WpcsTyacmVdYkyY1JRgWKghlLEoI7Y4xi9JZlNUpSXhwKAIzKoKbI9/yIjAvwN1nmMKIynwAzqEurrI5b+ND0vnzMDq4Xlsai7Rqteri6bO7LvbWTCMzrbDaTGpKMJyx6Lph+r3N5CkqZjBpt88JMMyo4M0RM0q2OzW8pOnABPiy+pG6xAddf/yZlDtX2Zy38SHp/HnMK901nxESC8KDq0JIKZmq1aqu0L8uyesXdhu4cP40dl31fmKXehbPL3dDz+Zis4ut23Mc4jbhzPRboyb15t5cqID5xWYXN+7UQgXNL+80tMeMKnVl7F1M9WlWQiXpc4bJC94cMUVANaHY3JvDfU0Hpr9yqwFPYrAeJPWpd21yUcQ6sNE8JX+fx7wyXbPr/V84f4o39+shI4+u1WoXAp2+y7+jcf0fSYEbd2r42lrys7yKsLXZ9t0y5WWmO109fHMxNmF8JIKJVbruGKauP7f+RCVT9wclDPa6AgIIXaNrpw6dYAFg7K7F3bd8uKtO8RTdPQvg9zhN2LxLk/y6tNOAPmlWav+uG4eTIB9HMa9s0T0vf13TP/MkBCR+9PRd6+/bPIuiuuxNO9zpaoTQFsNiXf0mojF9NmEHNscKulQAc8xWkeWLGCYIVwdg8ibPMJOgp0nFU17aaRQexpI1YapM80r3PiRg3Q0rSgVwei42zXk4yXgymOk3srlyEtv5UTttytW/uTc3cF00LDp7JGFTSsTWrWMS3EkliUzuJobJi1GHzLAlZfoxKShLFamto+1b/OIIYKC4xNcKu/O6kocLu6h5lWb+UM9FdcNyLZ3Vg9tzSQpxM62TLBvKxUwrrLpJfdiDVqBR1tgjb9gS7sDzJ9C5c8AX6/7nthM8GAaQhG0sKccHMnlSlLI3qs0Rx7LNBiYFZXPlBC/uNEIF8OuQ+JnlbizGEvDDsZTlNEmxyivGPy8FKu95lXb+UO9jtT5skDMMfwPCBiOJBSFxTwpUgIGyqog+l6CMeqAiIYQfCxuNlw1am3mdnBxmOiQAiNdAfeVRe1cKmbT1ff9/27oaomEAJlzcOtw9iMmLaXCbcUWC6cHkMje5wzeap3h1PRzu9Or6Ma6unZD9kz7oikTlJU93+6gVKNvwg7TzR/c+zlaGpev8z1WuRrxJjweBa+vH8IjjU679A6+CTm8YWieIGs+8Tk4OM6+wRnGJ36QEyO6x//9tJ3hSGICaaFVIHEkkllxRpIlj4g5XjI5pUPbYkjIdJG2eTDLc5CWg+tQ/UpcG5SX/GP9RKlAuG9G080f3Pr7xWQyeV9L6p+QMdf8qpvUFTWxxEAmB1bqMhcOVKd6XMcMKqwZd5ymdIvdART+Bmv25biqWHMTUTWu17uG55S7mBQZt7VTtwNbbZsXSNXlqGqxoTDHkoeyNezPElpTJIzpm3rptt3miZLhJvpkUF6qH/ZkCmlyMUoFy2YhmmT/R9/HsyvAzGxnyQVdon4uKaZX9piM2x9FdGycZTwasiVhAxe5UqPnR/zsVu6MC+YMuCep7mysn2NyLC5X7UgzqCZpiiVzimDj4nKHIWpu3DPGjuiRLtqSUh6j188L5U1zv1ENj5svfA+5pcgzU5w/fXCTjqyn59sJOcBwOcxqWqhJSApd3GnikLnFGSHQ1cvjlW3N4+dbcIPehWZXYWj3RxlWOq2YrhctGNM38sbl3SrZEvxN9LrqY1iQoecVJxpMBW1g1RHf1L9/SC7pDIqim0/X//+bKSah9q0JC4Od3wjt76nu/uDOnLaAchdoVu1i12GXKUOisG3VI3PPsSsyUIaSALSnlRWf9fHO/Hhsz9zxTOSRh9AzR2epi8H1lCby2fowjz4+DVMc8JNzNB/3voe8B6/R8D9h2p5baaxW1SAIoxDvhYjVNCrWIXp/tvVPr3xB/86KuQT0XKqaVItq6lkPfJo+ZbhygQ1fkmCp1Rf19vQH8zk/4xXQfurlI/Nb//VJF4pVHT5wLWuuIFlR2LXBdpmLTZYALzoeJZuAeBqz8gHlsUU06bIuAU5YaGwvOgw+ew6+1j7icVYmhZI8eiXmRnLWv5Fa4Agv9m6Ccc7sePVVI/FhV9hN/4p95gNVYLLJRQZZjJzW4aQjZV+SjSKw3BL7y8NHgHH/+n8/j24dVmNbK1cizot6ReraqSsBBLy4zyt74YVIYdeMAVlgjuArOMwKRVn8SyzWBv/aIPxntjidRAeCl6PoRPU5wUrsqoDyRw7DCSuM6trJshqhxebHZDbmM1d+j4/U3u+fws78neVyXGLrrYJzVujcoh/RBV9nm9Juha+vHifVTg99XmyfbLojJBoVkg0PSWCzakJCmXJ3esBPFfO/B+7Zdd0W/P9aqJmQkekwKNszkB3e6GjOmBKg4AgtColn1Ap8L7J9i4PrwXRlJCr/oK6tZNwZht4uri59dpowtrmMrSyIJFU7wTY3LWNuV7vtxa9ykVTiYdijXdNRVHCyHpFzDpux+m0YsimAHpaWq/pgLleg1JR07fTiXwjTX8nBt6xLUktCFybkSvG/bsDNV+mqvW8H1Th0Xm13n9YpD3yYXDtyIYBMAHuRjz9+VRuNMj6TAX9mdwz1pdkOFsf2eeecaLAPimijDweeMDa5jyyWRJGrxoeZjj7g2tZCHLXD6780qZev4RSX0XGx2ceNObXCdX21V8MX6aSw85YyQIU+X6Mc9vrlfJ84Yt5QGOyjVET/mvJA4A4lDZztPspXVNBapObBUlSNLZAw+76WqvltYlAXhu+ZtuoO5rrvoH/fGnZqzVTRrAikzPtjCGoGyBJ0llr0HKpIUNodSWLu5hiRPmoUKBrtK6vtUGRDOimbyIM3YsrHk6BI1qBlEJd+ohVwdg2JWF6gylq+jvDtX105i5ZB0BeJPJRCUhRKi37lKz1JFDs5V1SiUXQjUpPrM//8Xm118TCpqtCyOnyuOaSxSc03K0XgOos9bFeNPogsxsIBSz0bdN1WyKok0m05eFycXVlgjUIKzQayOQpiETRoLjkAVEgISSxUPZzQT65cePU50hy1VZeheqMYDnC3JpEGNrWE4jJ9kAWQbUzoXrtSGy0g0KojVxhSQOO4lJ+TM8gJVhooNOmxd07rr9zRdkvSdk/x3/8qjJ4nZ5vcGtT39/3+9Uydrby9VJF5fP9YqQsFzvUZ8J2mjp1uTKOU5b8+BS1hFkPtS4Dc+Hs79qK9jXvhW8GfeXcDlnQYa/fA6Af//nzVsAhRpNp0c+ja5sHaiQecWv7zT0H73oCewtWof2G+DBwyC/5Ncd5srJ3hptxFJ/AI+6YlQrVed6+g7d7uxOofcW51x4cgbKgUHnsBLuw1IiUGvdpcxtd2pGdyC6u/KGuaXlasOFjXR/1TgHnkGX4Upgwt8nJQlhi9tWEL665SoAoNNO+DLetodHVfqK5HxplAlr762Zg57UaExwbqt84QSHCS6Jm13av06pHHy9hxkGRednhiEy/lPzU+aWm8I/MmF8Ppz4PntUz+/0MPv3KviKJbcBgSfe5ZNJ4e+TSassFpiintRQoguTeV+LoXNxOpq5FMXw4L/pqSVaOFlbhTA2KIbV9GNE2AeU9HSOK5JLPrC4fpjqLaM04qtAliGGL4sjSTSxDsqepqNlC5+luKQyEm43x/jtklLx4HjdHpuhgL17HRjvwjPgc3z9hXR5Lnot0f18P4XBB79rZrWm6IvbyWwVPGwUJWlibtmRg+HBFiSFPey0Twl3fMu1GFf3FgJLipOT+2M6YLZemY5GYWxx2Wc6L4bjI1TRd/zY7Zi1FziUssQw5clLIFqYhENn4oTP9+lnQa2bs/hYrMLuyotyQlEiqD8br29gMffWSB73ruEZFAu+iqKKdVmrnTju9Q/v9DTFP+n8yuC/z+O/u8fe2LQ1AHwvZ4cxjZbsMJqiU3ciy/w0yqtfszqq+vDziFJC1BSbJGKt6IsJ1TSyqwmozBuuIwT3XfTxsbZoubqegNTH6PmogCWIYYvS1iC7vpfXT/G1wPx+rqYZz3DEklNopSVLcExrksM6/T8/021E6XuPWq4oKydHuD0Dm1izbc7NXxzvw66qY3ffewfHVYjG066MkLSukTxSF2WMmGQGR38lh1Ics9vNE/xKz/00L5PNw+kEADaTw3dlaYFSF1DknAX/Y9NJWN0hZen2RLF5Ie9K1U/ptJZ8u0Ltyv3v1/cenqVVcBdARx3DF/WsATq+uki9OaxdiQFGjJeysonHj8ZR+LHz3h45t2FXPvc60InVByoze8pbEIyTKEHPsOQBuozHYdS4K3bvvy4vEN5CMPzWq1LNusiM73MvIU1usu8sjs3+Pfj7yyg9bZbtvNv/6F7WKkDrpZWCYTOR+2igwtQkoA66AsSU8mYcVtamMklOq6okj1nIclYShcqkPjCQi9UaojCfcs42bj0hC8DRYYlpA1p+tjzG8HEsTmewG8fVgeWP1dllbp3qmqGLuPe5dnZWOSL8oDclwKb3/flx3PL+lCMKoClijeoljNfkbi807BaF5npZSYtrFQP5L2uwBsB90dw5+iSFFCvAtBOIImlisQdTyfQBLFTDRMsq3Lh/GnoeqPYJG+N29LCTDbB8bPdqeHFncagQoDiVIQrVij0Flp9F6EzQuLZvkdAzZ0e/Li9nsbq+qXlbvabmyAoL0pZvSUujSRcSZuU9Uidrqltg2sMtup5b7p36nr89qRe6mdnY5HPqgTSiVjArh+Gis8t9vDr+/VYabEeBA4836J2EKhEQlHWjRmTLzNnYU1O9KAnhikwPmip3TnW/14AeOXRE1QzyIFDKQaW3ht3aobrlf1geYYZDRvNU5zTxAHet4ylbFY9+H2JgguUb2H5+toxbtyJZxX3ILBQQcjq+vxyF1fXyqmoFUUZ4lJdSdMSNIntTg2HPSA5hjVev/fHz3gjWxDnhcRr68eJ904pYqriRdpnZ2ORp5XAZOVwXkg8t9wlvSBrjeFa7BlCDnT1dXXnKuvGjMmXmVNYs7o5krKdkzrrbN2e05b+sSW4+Jt3wH6haw5GZ0bJAeElMMVSqoX3bAUx6ywgsFD1v0cd454H/PDpu/jw6bv44dN3Z05ZVRShAE4SSg4feMFOTP5G6PnlcM/5L0Sy2lU5Jb0rn+506Ia/qXLZTBQVOpF0XErxnxf+hjD62zNCDlz4wZAzqlHC1meyrsVyYjZmTH7MnDaT1c2hdp3Bmoc2AfZKGFwiGhC4YNt/+UgKvHyLg9GZ0ZC1mHmSm7IM9UOZ8qJXgATOViSurp3gKk4Gcpuq9alHoFGVkJ7UhK+4rCd+DVKXWsBFhU6YjhtNyPKRaFYltlb973xusWd9TQ3hd1gEMDjGsyvz+Ivvpl+LqwBeW2dFddaYOYU1Ob6JFkKin+0cndBUPVOFqo+H/pHtl1f9tVQAPHxzEWeFvutKkANPHz/IMHlizii2C09JUkgnLU6TGS1JGx69ImZHpyfw+npYwTvsYdCtKus1migqz4A6LqX4f9zza59u3fbnXJLirXveR4Fg1awNIC7tNPDyLb/1La9vs8HMhQToXCEi4Kp5frmLpYqq5Rf+znPLXbJzlAlVH2/r9pxTYP5CBbFrBSR6/djbQxl0fVGMv0c4M/2Y54Tox1ubsWnOMWlxmkwx6GqIUpZ2laiaR9Z7MOTilUfj4zWJSfAGUEq11193bGufJlUiyFa3HEC/vm3wWmxqy2ah6OMzZmbuaSe5WLY7Ndy4U8OBpzKQ/QD34Hdcd8lKSLn8TkDiLyx1Q66XNLX9XM/LMDZE24AmWUqSxqA63pGk5x3AVS1GjW2711FfU7SGqF/PE9B5nFSiajY5GK/1GVxL/PFvPv4Z4VtlH765WJpnqcNmPtvUPrWpRFABYhUC9NCexCMp8Is7c/j5nUb/WHRt2SxkaSfM5IOQktzhPAbgB/v7d+F55d8V5oHOhTEv4u3u9IWp9QR/7/K74G8BWAtFPVK7+DNm/ILzn4z7MkoDVQ4OMJewATCI3dMpQABi864OiXNViYNe+Hs2ylP0HF9tVfDFuvt7LKOyNiq2OzVs7s31S+2Z5eEoefDBc3j0tzwnOQoMN0Hp5Cf6v5T40dN3tZ9RcZ8LQuKeFFiqSnzSE6GkwnE/S0A/xgH0cy3Mz8r0PAB6nVyte/hqq4Kf/b1oTLCJpHhh+nPXuGEK0/3kcfxJJO81slIRWF5eBIBPA3g/9nluZxozeZjqbdsb6lyXUXQuS5vfRc/98q25UBmuJOL9nP2/cgs7JgtJ5eB0xcyDn144T7cbfvlWfN51IQatLPe6Fby028CLO+HfXtpp4PF3wnNdd44vfw/O436WW0Cqe+/04jLHped9UaSxlPbI8kju7YV1a40uXOX19WP84I/QFTDG/SypMQ7Aqk1tUniDKcRn8/twDs+g5Yv/KUVeHsYs7YSZfJgKC6utZTSJh28uaq1Eup3kdqeGF3b0SSbrDeB3fkK/6whaqdTRzdhnogpIfH6hh9+/XyGtsbO8G3SFLaxD7LwDElXow1b8Hu8gjuGabR3GxouRNO6jlqZ7HvoKm9txpoGkd51kWSuStBbWOL7X6aAncGiROKUaV/zGx7WY1VnlN5jKqbmsLaPCNFeS2i6r9rBRz110Hl04f4obd2oxL8XDN8+ljF7Vtck1yw+2sBYHW1hTYGsZTcK1veGPVVWW/hBVY45C1Ur88Om7WKpk2QhILFTC55cQ+J17VWyunJDTl3eDTBpsxw1VMeODrihs7AXnehoriM7SRHWdm4X5k3SPJkvjKHD1VOkQ8BOofunReJ3QML6cVV3WdFZnCYE39801r0fROtf1fZjmStRivFTx0Kz6ycjD8J+w50E3j6536thcOYnVBl5LqO6oEqF1nyxVZMiSbVJi8qwiUmQ7YcaOqVBY8zLV2w5IvcvMn2DzDkpoUpbpvJCka2a1LrFUje8sVRjBpPUWZ8rNkoWL0GTlqMDkfM2uBAZrteowjXuqjI/rccpEUHl5/J0FtN5ewEM3F/Gpm4t4KEGhMd2jkofjDJkIKlNKgQoSLGJPuZFV5YDoseL48ae6LmtBJHy5SymMRSs7ad5H0lwJNqJoP3WI9548xGo9HquuNowuhqOtz8Qr4ASr9VxbPyalwseeCFVr+EvLXeg6mS2IfKuIcJWS8TMVCqvtIpW0A7UdkLqYO9VOstOzj5mjdrHBc2+t0oKOUsgPPIEL5095N8jkBh05FEUfJ+geQ5iuXJBOMThbgXHc0xvbyZw/UeWl06sMuj/1NJaxKHoLpi+flDzMy6uVlqCn6tp6WGZ/fe0Y7aeGsaM67gWuXR3L5JWyMX4ceIJUGItWdtK8jzRKtMk45GI4enYFsedxbf0YHwYssbbr+tW1Ezw/aAM7bM/8gz+Sf7e3MnaTm6VSWzMTw5pXnOt2p2aVQZlnXAuVrWyKNVNxSLOa5ZwHHMM6hIrBS4aKL/NjCKlY0aWKh4UqrCpj6Oa6S5UAah6paxjV/MlalSAcH2/3roJyKnj+ByoSQiBUpSF4LeOKyXSdkw/dXAQ1/l5ft6v+Yo6/NjOq+Ma07yNpzLnEdgP6Z9SsejhbCc+jn2vNJ77HvNbsaWbcz2jUMaxToYrbtK8z7UBdXqy/Y01eDPKMdaNqTw5bvcbPpeKQeGIzeZC+Kw2VtIFBmSudwFXda3yFg0Z1kVMtJYMy4FpfIfGFKn0MqoPWKDvoZK3xmLaLk3qn0d8feMKYTDT5bXLjsv/C+VO8sV9HNKHnwnm/FWma5zuqmOe078O0RujGZB0SZ4TEfaLbXPQZnRF+OS8VE67G9blzwBfr+muKbpzmK5LcOM06eek1k8JUhAQAyab6vOJcbb8/bsE97vMz00VyoovbeFPthbduz+FiszuIIazC7zu+dXsOV3bnjFvDeSEH/cSzxFSWITYtq4s9bRcngWDTBvtkonEkoGx3anjs23ByfZoSW6Oy3O/GFg/1unEnXraqWfUGcbKmsT8qOVzE+9CNiS4EFoTUzhXdPFoQUlvOa/P7+nNG5/GBV8GRJ3Bt/bg0LvgyMWultqbCwmpDXhYBG0tTUsxcXlDWXoHJiLVjygntJjwmXcYXzp/izf06ETYQDQuQg9JXe12B6506LvazsIPWHNPxKsBAsQXMCt/PtZLvedzeiKwLT9oFSvYtjdTvpcYSCdh5tfJkaO0D/BhcOwv0K4/SXqio7E96B7oxMgwR0zE6OVzE+6Cex8eeQPspfZhB9Bk9THhIdo/155w1i2FWJt/T4cbMKKyU289VoOiOc0b4HU0+9oIxc8VPLnqRAU9uxgmqi1VUMdAt2Fu35/Dmfh1nK8Chp4tZFahABlowxhekb+7XY/VbTTGzXuT6jgj5PCmWhqwLT/qQDf8ZNqvSuZTXKJX8tIrMRvMU37nbjW1+grJfjWHqSSdVmKDCXs5AjlQO5/0+8lCGqGNQZa1mzWKYlbz0mklhakICksjL7ac7TjAr9btPHOLZlYJuIgIlOFandHfFFENSFyvKNR1135kKsA97fOu/Q9Vv1RO/PurMk2JpyOrSpTL7g9CdglSMYXlL4WVRZK6uneDa+vGgjigg0RDDWrLmToK+98D1ugBgsZp4aaUmy5hUmev+Bti+VjmXY3SjDOFMo2RmLKxAfjvQcbsPFbO2u2KKwSb+Ubcwu9QvTUpU9Dtk6X4VrfuorzqgW87qA5fsvPHcQPYM/axkdenqfv/jZzz8w8MqevCf708t9PA796rEu9a/H50l0jajPM9nmIe178gbbpgOPN8yP19J6mfvx7BehV6mmizbB4TF2sS4x2H0Oo6kn9jYQ7yrlem3wXXJn7HhzljPrsxrEyF5TXOnLPrIKJgphTULLiVfRsWo48iY6cTGSqVTDMz1S5OVTMW8kLEY1uDfg60d/bI6dgrXuaqdSzZrhn5epFl4KAVH3ZMKs+gB+J17VVxsdjWZ8Dr8910Rw/OYnlHRzzCrIkOFFBxZmPZN82Nz5QSXdxra8BVXq2BZxmH0OnoYPmub66AS+GxKfPGaxpiYmZCALOgyFzu90Xd40VHGQsbMZJG0sFKKAfW7ZjWcRUxnag9dWJ9b7PXdtP5/lX61gBt3aqHWjrpGGpQrO2rhogpsj7sIPkVSQXBTZQTqnm7cqVmGDPnWyENP4KXdhrZZSvAZFf0MletzvYFUrs8sMZCm+bHRPMVzy12t29vVKliWcZj1OlzCN3RjnNc0hoIVVguSXKZlWNwYJi26WLVgm0RKMaDiJqVESMnUtSCeF37hdmVx+YXdxqAbEyD6SVXmjkGqDBZFsJ2sSbkrY6KHTZkuk2JhuqfkEmVh7kuBAyI+WZ2HOt9eV+TWfWejeYr3v4BUigyldPqbqeRWtCZUjGzWOMKyjMOs1+HSeXJc7X2ZyYQVVgtsJmrRQmWW2q8xo0UXuB9tk2j63TCZBUDfA2FSMpX19NJOA623F4hWx0OiG8KN5mlf6YKh5SvwSU8kWlFfvjVHCsFxJnrYWLlMioVJaYi+jyyo89DPKr0ikqfMoxKIXnn0hPQABJtSJOFqFdTdW1kSjrJeh22yVlksyszkwAqrBTYTtUihwjtRpmjSuuE2mqf9fu3mhUcpmWcEBtZTpdxS1rsgUeXMJlGsi+E1UMrdgSdi5bSA0SR6mBQyGyuXSbFIUhrU+35+uQsbpbVZlcbjJVltXRURSua9ddv6ECFM2dSUB+C19WJiR6l7u3D+dOTNGHRkrVhhm7leFosyMzmwxmOBLuA/SNFChYspM2Uk3Ls+jk7JvK+dQ+5JX64F9els7vjfXCxrrtjWuzVlxYePEa6iEE6O0SevRBO1vrDQG1QT8Amf94yQ2Fr15RuVDBM8n3/d8Wt3UUQombf5feCLP2F9mBBUUtuoE31M8cVfWxt/wlEez8MmgTCvovfR8Xzh/GkoUZOTtqYHVlgtSOryU/SE4J0oUzZsetcHY0iBpPFqqiQQroW53amhArvarf7iJ4hNp/6cHoppvKEr9xMkuAnVXa+AX6oqqWRQUInUNXqIZqLvnwq8tu63Hnpxp4Fu6BcSzza7EcVUjzqfqr8ZxUURocYK1SEpK6MsDWSS56O8DlMJrVFcRx4lrHTjOVgFY1yVFphimOqQgDxjoIIu0/ZTh3jvydFlMZYltmnWeOs2OG6YwMYlH4whBczjtVmVWKpQMZWi3+d9uEDp3PjR30Zd4FE3ZbM62nnlUu92o3mKi81w9rmEwG8fxuuo+iWDpJUsoqx7P7/jVwKI9n0PPntb8uhrT70DqkPSOHFdZ8ogz8sQZpZH0XubWtAcFzs9TK3CWoYJmRd5LACMG9udGr78PUzF+CkCG+t+MIYUQD+GNb4o1yHx5x44xbGkE6j2ugIP31zECzt6q24VEs8vd42LXzROV1ciq8h55Vrv9sadWqy+J9WuNnpsSomirsFDciUAW/JQRCiZR3VISkMeBo0060wZ5HlZEp6ylrByDQ1iJpupXX2nKe6TiymPnq3bc7jnhf8WHT95dKUpS2cbV2x71wcXCjWON/fmBsX/lyp+pnay9dG3NVJhAB788kJURyIdo55Xyc8srLS4LLIVAA/fXBzE8AWbMATdouZr0P89jeUvq0uZejdUhyRX8irSn2adKYM8n5YwM1s5xN7I6WBqLaxZJmQZS0hxMeVsuL7TpPGThwU/r2OMY6za1vKMxrECwNmKrxqt1n1ldaN5mnmhTLsgjXJeJT2zpUq4Mxd9T/Hatz2IwRh6c7+uVaJe2Gn0Y4FNzyq95S/vsVjku8nLwph2nRm3PC9DWEIeULWgg7A3cnqYWoU17YScplACxifNO00aP3kseFmPMc6xGnX7Rjv9KGTgz6brzbJQTsqCpK9b66NqggahGzqYY/aosIEeBK536sZrjHYps3XlT5rczMvCOKmKXxnCEvJAF36SFBrETC5Tq7CmnZBlie1h8iPNO91cOenXFx0SHD95LHhZjzHusRq0ElF8HIiLNF3v5soJqfTqqPaV5ElbkDaap3jvyUO8btEZSbcYZ1WDzGEXfvmqNJa/cY9FV/JSNCdV8csjzljHODw+UWv11bV0Y5gpP+Xc/uZA2jihaYntYYakeacbzVOcOwd8pe1px08eNQSzHqNMY9XmXpLK+XznbjdUkoZG4kvLXVxdK7dSYMI2xjP6PapkVJRofVYbFoRMvbiXaSzakEdJJaAc8ahpybt0VV5xwQxDMbUWViBdnNCkungYmrTv9NkVkOMnD8tK1mOMYqzaWkxs7iXpeq+uneD55a6FpTVc5qps8eZF4j9P8/OZFxLPLXdRJb9HlAQTIvXzmzS5maeFcdzxqGVhnFb2WZMDs8pUK6xpmFQXD0NTxDvNY8HLeoyix6pLXKLNvVAJEoc9/1zbnVq/lBP6ypb6L85eV6D19gIu7YwvbnJc7k+qfiwCz/3q2gleWz9G3TqIQODQE6mf36jlZh7PnhXNfBmXlX3S4qeZ9AgpSYH2GIAf7O/fheeVc5dcFFlLDT344Dl89NEnBV4h40qadzoJ77HIsli++zm+p12te/juE4epjrndqQXKWg0Xsjr87nH3Iy5aISXuafbVJpd39PqKeI+6Tl/zoriWrmnOvd2p4aXdBtEOlyb6/GzH2ChKtD344Dn8WvtoJM9+UkvOjQsXeZHnnCxCTjF25C1bKxWB5eVFAPg0gPejn7PCWgCToOgwycz6e3z45qJWKRSQxkSrJKgFRkez6uHIE7EWpab4zOj1FfEex71IUspU8O9++1p361bw+Y1TMdfx4IPn8OhveYU/+7Ld9yTg8szynJNFySkmmVErrBwSwDCMlqLiEl1chAc94ZwpP4q4yXEnGQXd2ZsrfuOFh24u4nIgRCKNsgqEn18Zs/9H8ezLeN9lRm2UjuQwnGdUFTwmLX6aSQ8rrAzDaCkqLtFlIVmqyoFydm39OPH7o4o3L8sieWV3bqCkol8RNxn6GoVlt61xZv+P4tmX8b7LSjCGFP2N0rzAyEIoOO9kdmCFlWEYLUXVarTtkgUAn/TEICEruCjGkWhWR1eTtQyL5Hanhjf3607lq84YnruAX10g+PweqBANIYCxZWOP4tmXZUMyCeRtjXZNqCtKTjHlg9PomJmCEyncyLtWozomcIwXdhqJbusuhgufvui9xOoY3qOu/uaF86fYuu1bPEeRnLR1e87JoloFUJMS9zV2igokfnX9OBQHa673KmJ1Nkc1t0ZR+zSvOq2zQJ7W6LS1XIuQU0z5YIWVmRlGXdialWMapXRElQIdpoVPAGPLBA4ukrZjy2UMJo0fe4XA/14PwD3iGx5xfUkELWmjnFtFKyiT3BAgD1xkVx5NVBQma+2sPHuGhkMCmKkhyZVECcPNvfwTKbg2YDJRVx5V6P6Ruiy9i9bWLWrzve1ODY/dTK4xm+7eKUVU4OVbc3hhx15ZVex1BS5pfjfpSUqzWqfVVXblGaLBscOMCVZYmanARshSQq/TS9/hh8KkmHBXliFBpeC19WNy4StDzKgJ24U26XvbnRpe3Gn0a8+aFUCqEUNaDry0lQXCNXWDsKIxebjGpKaJIX3rNgYysPX2Ah5/x//flEJSlo0pM15YYWUmgrTW06CQpYVe/pYgaqFWrlK2vMbfKQBy4St7YgU1th6oyNA9LhFdqtTvt27PoWtQGoPjSvdM7FrbUuSvXLKiMXmksXK6WKO3OzV8+XsYyMADr4JOL1iKrbwbU2a8zN4qyUwcNnF/NkJ2c+UEl3Ya0C3MeVuCqLiuKuLJQ5MUo5VXXC71Tr+2djyR3Wl0STp1SBxKgYPu8B6H7Wb1yTxJ47AC4KGbi6jCj0nVJZy9sV9PcQfha7L7zPQbVjQmlTxjUnVs3Z7DPc/0DYEqJLz+OWcpdpgxwxZWpvRksZ4G/77RPMUSUaYnD2EctBje8xDr4z4vJHrEbyfBdZpnXK6r27HsMcE6a+e5qtS0RfXd54Iorm4eh7JvgRKD/697DqtWY9kvA6autUlYfquQhs/oY5fNAs7YU3T4jY2s84BB3eXLO42ZD51ifFhhZUqPrfXURsi+8qi7MLaJOY0qVJ1eBUIAS5WwC5tSJibBdZq13mLwOVIlk6h3PQmdh6Ju0YMevTBLCKzWZcx9urlyEtvoqF9Q1ky72NY4B72hlXxrVT8vXls/Jj/7qYUe4jGzEs8vd2cqSWnaSAq/yRqDbyPrHqjIUm9QmfHACitTemytpzYxjq6xkLaWPZ1CdV8KLFQRiusqe/KQiSwZvNHnSClf1LuexOzhpIVZd+0bzVO8un6MpYoHFT7QrBr9pwAQ2gAExzidhCVC4xlwix++2OziHx5WEX+PAjfusFIx6VAxqXl4OjZXTnDWoHnMCwkh6NApZnZhhZUpPTolT8Av1B7EFPivrAIP3VzECzsN7FnGYNpa9mwVqo3mKS42u4N+21VIXGx2J8IalaW0lO45RjEp7qMsa5VXFYckSyd17RvNU7SfOsSHT9/Fh0/fxXtPHia6+UX/uoPH+O4Th3hdU3khypEUeGGngcs7vuJ6bf04Nn+Cc2tz5QTXO3WyokCZNxGzRt4VSfLwdGw0T/GNz2KwAVqqeKHwlK+tHZPeCWpsceWV2YAVVqb0KCUvmP0sIXC9U7cSTLpe1yr+78WdxqCkik7Q2bqubRWq7U4tsNj715J0H2URxlmsw7QSI60s3aOyTOcZK6ssk0Nr6RDXa09SfiVR6SJqHaUsrr2AxfVSf05Q95y0+ZiE8JZZoIi477w8Hc+uYLABaj91iPeeDBsaXDaoZY9vZ/KDFVZmIrhxpxZrQ6kruK5T7EwLbLcfb6oTdG/dpq8nKjhtFKrtTk1bmH1Sko2ylJaiFqDVurQqhTOqslZ5x8oqa+nr69mu3cbNTykNKhTFXpH05wQ1zsydxyYjvGUWcBnLtptiF0Xyyu4cPnVzEQ/dXMSnbi7iyq79HNpcOcGZiDw9Q2zyJiG+nckH3oIwE4FNwXWq9JXL7j9YYuql9wCqnI9OcM5XJI76ZQCWKhKvPHoSi/1ydaOWrVVh2paYefRmH0W/8KJiZfO4dnWMZ95dcCo75NpuVUGNM6rsEeCr0pMQ3jIL2I5ll3bBSfNYlb0bjo9hW+A39ut4a7+Gr6+f4OceTL5+Kc3/dr1PZvJhCyszESTt7E2KnauLUgm6fcO6q+sP3+mp7kQCx5FrSetGnRZhXLSFNK+wibK3gAXcwyNs4ocpdONsc+WEbE5gV1KLKRI1F6g3ER3LLhZK0zyOhl7pEvLuo4KXdhtG75W6pmgDjS4R9kLNzQrAYQFThpDUtgV4DMAPRncpDEPz1m3gy99DqOD02Qrwjc/68VCV36Tzob/1RPy3Saw3gJ1j+nP5xeH/fuzb+u+uN4D3v+D/b9P1Be8jis2xZ52ksTGuYxXJW7eBze8Du8fAWgPY+gx9faaxlwQ1zi5/D/i1vfBxy/icZg3d+A2ie0fiN/XfFQC8L+o/00HJKh1J8osas7prMt0zj8mJ5dMA3o/+MVFh3d+/C8/jXbMLDz54Dh999Mm4L2PqMHVZ8t2kcYeBgMRzy1387U4NhzK665f9jkFu1qdm1cN7Tw67MT18czEWX6vOfW39OOAi03W+8mtdJpXVirrguCj7EOrdr9Y9fPeJQ+f5mFc3r7JAPZ848Q5cSSXfRv2cWLaaod+11HZF2+7UcHmnoZVfav7YQslBig+fpt9j0pyOovIDdLLc9T4Ye/Kej5WKwPLyIkAorGwvZ0qLbkGkBM/myolW8EoIvLlfJwSpwI9VPZytSFKhjC7iZ4TE1mrY9UrF9J2twBg7aKN4+p8dT5UClTd5h02MIlZ2lOjiDnUsVSQWqjI0zgBfedCNvWl7TtMAFVssAK3s3Lo9R262XZPnTLHNuuvZ7tRCMf5BGXfh/Cmud+rWMe8bzVNc3tGfa9LCpxgajmFlSolrdvxG85R0e5p2/Qc9ge8+cWj4xrCNJiCxqGntqstoBYBDL178OnhVtvVXTfVlmcmIOy0Km9jdaNzhUsWLjdd54ScJBscZgNJUqGCS2e7USDnmGiOfJnnuwvlTTWyz/rwSvrK83amh9fYCLu2Ex9n1Th0Xm12nmHcbOVCWEoFMOlhhZUpJmlIlaRI+lDAzKTf+J74FttPz61R++neHQg8AFrQ1Mk07e4G/e8DCMg8muXtYFqhN3ZXdudiiHNz0tJ86xNctWm9ecizBxoyXNNZSSu41q3LQaOUhi9JUqr508PwCEl/Qtu/1UdUIDjyVpDXkSPod01w26klyoEwlApl0sMLKlJI0bl6qIxZFUJiZMp912a6HMiz0Djx3t1Oa3zBxRlWjtWxQm7o39+uJi7Kp9eaLO8FM7zjsYi0naaylOpl5Rkh80hORbH+/yckb+3Wt0qobixICv3+/QhoSqjB5oMzjTGcpTZIDXK918mGFlSklady8OoH13HJX0yHI788eFGYbzVM8t9y1dmkFOZICVeIzk8LM5Me0h03oFmhaQXFblIPHvrzTiJUTijILoRaTiKk5B4VOZi4IaRgDAt/cr8f+ajIw+C20w9dQh1+b1URSXWHdpkzJgWvrfrmCyzuNxPnCG7DJgRVWppSkdfNGFZeraye42Oyi2o9BrULi+eUu3nvyMOYCfXO/jqWqH+MnILHe8F1jNvQAbVzgc8tdVAil1fbYzGxDLdBLDuPH1IM9eOykLO8iQy04vjAbecnMjxM8PzpF0zQWfQU3fEwPZvl3RviJV7adC4ObMmq+zBNy+IF+XgKPv/LDCitTSvJy86rYql7ArXW9Ux8Io6hw6/QqOJYC19aP8f4XgK1VU6hAEIGe9Eteqeu92Ozixp0a/PKAcbdbtNoAw+igFmgpofEe6KF6sOtaBespNtSC4wuzk5fMTLKgCyCm2FHVMWVf5kbpAej0BClbTyXwVkcf2pJkKaXmyzGxGROCx9+kwHVYC4BrBZaHx99Z6HegCqNq81H1/qqQ8CDwSN3Dj5/x8NuHVasag6pGq65+qoCEBPq1X6Gtixhk2uqBjotJn49Z6vwC+vJpru1ao7WH88a27uakv8tJwDw24rWr54XEkQTMSaYmwqUDTazW/e2/aazQ9WD15xGQ/ZJc9nVfGZ9R12FlCysztWx3auj0zLtxarfe6+/997oV/PZhFZ9f6GGp4iEpplWdj0pCEMDA2mvaxfOOn1GY4rmVO5dObNHX+nVp1zoKbwDHF5aHjeYpLjb18fxnEG+0krbt7xD733/QFYmhD9R8ofIMHqlLHn8TAiuszNTixzTpBY5NOSuFhMBvH1bx00unOGMpv7ImxHBGK6OwiU2kvkN1UTMtxPV+UqJyK399BBUXZrmWbhn5jY9rGiulwH3yF6NR7NQmzRT6QM2FL2kScNU84vE3GbC5hpla6EVZ4rDnu1qXqhJ1mLJi1S/87NikNq5LlaEibNv1RXedvONnFDbdzlw7olHjswqJVw2tgotC141rFmrplgFdlynKM1UUfriU+ZzBerKmLmumufC5xR45R3j8lR+OYS0AjrMqB6a+2mGLwHB8C5g6YyXFWkm83l/s6RhWu17Xrr20GRqej3F049OmVXDR15SkcPO7zBcXOeVjH29K/f6MAO5Hxp1KUP2gqwIR9DGoHz59N8O5zXDOgDujjmFlCyszdSjBs9cVMeGrF8bDf9eFxH2pF8oqWcpEsK5rdJd/4fwpvrVfj1hzJe554b7aAFucmGJxtciO6ppYQRgtVKy9nuzK6uv9+qhf/dE8do9laNxdhS/b/M26bmNfrOGMx1/5YYWVmSqiFgNfxPrZ+asWbvr7UmChInHPCyu2ygrw5n7d6Loy7dK3OzW81alH8rYEOj2/RSFwbFR4x61QMNMFL9CMW4hRtjCB1X78KQD8XAv46CO9tVS3WReQ/QYEzCzDSVfMVEFZDFbr0phNHeSeB1xbP8Z6A6Gg/qtrJ8YaAQsVGDP7t27PhVxhQXQJVdPevYlhmPFCJRWl6fhn4oyDd0hXpUBG6mczswkrrMxUkZSspMsgjaImxdZnhiVPNvfm0Hp7wfAriTOQxsz+JGsGJ1QxDDNKqIz655a7oSz89F35JBYq0rnSxI078SoFXCWF4e0KM1VQ2c/KkhB0tfsxrvGYrR4ELu00+v/y1Vdz1qx/7AOipaFSRJMqB3AJFYZh8iQpkcgUeqRiStVxLu80rJqnhBHw6MRukkmqksLJWqODFVZmqrBJVgrG7qn2lPFyVXbtKm2+u1SV2O7UcNhTv4l/nxOqGIbJk2g8/143HisP2MUybzRP8Z278Rh+lR+wUAEOPf8vUY6k76EKKnVfbQFfrNPnW6pKrZGgbJt622fM5AOHBDBThWs/7Y3maWLmv5lkxfbjnsBLuw0ceJXA9yUqkND1aN/u1GK9uoMkfc4wDJN385Grayd4brmLal9uVeGHDnz49F384Km7/QoAeoWy0xOh2P6/+C5wZVd/HdudGj7RKKvVfkUVndwbl0zkBi+jhVc6ZupwyX7e7tT6YQFpsHNPeRC4HzuBwIqmpmrSjp139AzD2JDWrU65uLc7NVzvDJun9ABc79TxucXeQOa+sEOV/osmwgJv7g9/G2Tr9py2kUsPQKfn29j2ugKXdxr4zt0uPrfYG7lMDJZO1FHG0IVpgC2szEyzdXsuRVwWkDVrFvAFa9QikLRj5x09wzA2pGk3qjbEukonNrLHxVsloZdbtLIXr/7y5n4df2VXf12be8XIxOAzSmr9zeQLK6zMTEC5jGzbp/rIHLJmg4jYopBkFZmkZASGYcYHVQFAFyu/3amh9fYCLu00SKXURva4FvfXHdNF2ZMQOCRKBXZ6opDQAJ3iHoTzEYqDFVZm6jFZDaoOx1mty0FN1K3V5PJYLqhFYYlQhNXf01hNGIaZPWzj+bc7Nby4E42xD6PCA3QIAA/dXMRDNxdxcArUHWq46o5pU3owfgX6v7+w08g9rpU2DiTnTDDZYIWVmXpMrixbF5au0oBaDPIIDwB8QUhVgFF/d7GaMAwz29g0H6FiRoOoWNa4IinhQQD9/w5lBR6ApcpQSabRy624bE0vX3saL1ZWKMVdNadhZbU4WGFlph6TKyvZhUXvmtVikE94gC8IPyZquaq/u1ZBYBiGMZEUTqQ2xFHZUyVK9PUgsFDFQEmmZOxZSGzdntNaQJVs9X9LX1+8IxeNMlJkrSjARoPxwQorM9Vsd2rkIFdWA5PQmxcgC0ErwefXC8ymtCqBZ+Py55at44HLiTHTiCmcqAoZ2hAHZY/JdhpUgnUKXh3AqRBkG2vdccJINKsenlvuOoUPqAoCSec1wUaD8cEKKzO1qNjVeFOAsNXgueUuqbRSGfjxTFFasAYRfRfXUsVDsxoXeLx7LyemOGiGmWQ2V040cafAGSHx2vqwnF50s0bF2wO+1FPf0yl45+vAfYtqJ7QyLXDkCXxusRcKHwjWiNVR7Z8n6bxJsNFgPLC0ZaYWKpszajW4unaCzy32+u1Y49/X7fKTMkXVeb603MWNOzWntn0NIXHUl7fNqsTWKrf6GzemOGh+N8wko9qzvnxrbtBeOih3dLWf/TatJkSsHmpwnjx885z2V1FZq+tcqFDzT6cwRq8Z8Df+R8RFc5WVyYAVVmZqoYSQB2jjUbduS22ZK90u30bAna9IXF07CfXkNqETskcmvxszMricGDPNmJqt6DZrtrWrqU3dWgPYOY5/PyprlTLtYkwI/i7aAIEq9l9klRWqEQPjDocEMFMLJYQoV5aLO95GwFEJVBTcFKC8pC0nxnGvzKSTdVOm9VB9BtaydqN5SiZumeafzm0/6pArDiXKF1ZYmallc+UEZzQB+Z8QBaWjsVbrDZDB9D9+JrmcleuunWpi4NbcgCmCNAsdL1ZMWXHZSGW1Pkr4dVo/dXMRV3b9zfezK3BKXMpL0Rx1whQbIfJFSKrwI/AYgB/s79+F53FRchcefPAcPvrok3FfBgOg9fZCvyB2mNW6h+8+cWj8LfUetzu1fgyXuduJqyD81M1FbYJYFRI/fPqu9XGYsBturSHwlYePMi9Krq69Z95d6CflhalCwgPYPZgClq3ZoeI7v7bm++ijYxwAGUc6ROkI0e9Ey1JJPL/cxd/81884v8dJdK0/fHNRu04I+E1oJp2852OlIrC8vAgAnwbwfvRzVlgLgIVqecgiMKj3SCkiPhJLFQkh/NaAVfj9tVctBOxDNxehrzYg8eEUCLdRYVqQR7nAUWMvyDiua5Jh2ZodSn4tVTwcS2FUZPe6An4Rv/B3GkJqDQM6qpA4/aKYifdIPWsbg8kkMGqFlUMCmKkmj1amUfeZyUXfrEocS4FOzy931euXvLJxB1NxWq79uacJynVpcmmWxQ1nM8bYPciMGiom9cATxkoY333iEB8+fRfX1uMudZd4fdvugkUTlCGPv7OA1tv5x5pzmcJ8YYWVmWqyCgxdHCLduVpCynidP0WScsLCLQwVA3pldw4vRf7+UmAzMKqM/qQ4QNue6FxpgBklrjGp0fGpS2ZyOWbV6ez5EJ2rV3bnQrKl06vgwMs/1pybDOQLK6zM1DNfUf2o/YL9LgKDKukSbTQgIPHccjfR0mBSTli4haEspb++X48VHb8vBTb3/M1AHlb1JGwSqvStLIu9LoZJgtoYUy2mbcanfnOm5G74b19a7tpfbAI2yWO6ufrmft0Yk5un54ObDOQHK6zM1KIElXLPAwLHfSFlmyVLKZgSCCmW19aPcXWNbq2qSPqchdsQUx1dHX6L3NFYqm3DDoLv87X1Y7agM2OH2hhvraafNxvNU1xsRjsG+jH8lUD3qeeXu7i6lm68J1lJKcto2jqy7PkoH1xfhZlaKKVic28OR4F4rWhHliCP1PXNBFbrUhs0b+rMwsqJG9SzN/HMuwv4oCvwQEViviJx0FNVAvK1VKcJO6CKmc/ypoTJH5tserpRQPrxeeNOLaYI9iBySTDSddt6c78eO9+RFHhhp4HLO8MqHGkVT/Z8lA9WWJmphRJUviXOrs2mTgE1KZ5BpWSv61YlgAlDPXuqvSKAQUbugScwLySurR/j51rz+OijfJ87pUzbWNB5DDBFoVPsqM24jizj03YTt92p4av/DNg9XrRWil2spKo0oLr3Bypy0HI2iIAkj8HGhXLCIQFMKcmjQ1DW5AIgXVyp6qiyWvfrbbKymg7q2dPQLvq8O05xghxTRsZZIcMmdlwp1DvHcEpwSmslPZICQui7aj233B3IlmbVw1KFcwfKDltYmdKR1Uqg2Fw5wUu7jViCDgUlcF2tDnld/zgpS5Fu3bPfum0fKvBBV+Ct28j9fbB7nykjo6qQoePC+VO8sV9HtFHAhfPDOWFSqE1zJ014kKLTE2hWJRpS4mMvPFevgjeYkwRbWJnSkZeVYKN5igVtWaF4ln+e1rGy1AFNS9lbiuqsm9H3qXikLrH5/XipsTzeByfIMWVjFBUyKG7cqSHe+ET0/+6TVqFOLhFHV+FAv2zVsRS4tn6snat5e2CYYmCFlSkV250auZNOYyWgykxFs/yzuoCCAi/P6x8HZVe4daECzy13SRf9LhFFMCnvg2Fs8a2Z8VJSQStnUdgoo2kVajXn4/fmIwBtFY4glAwr+wadGcIKK1MalODQtydNZyWgfiPg79rzsI5FBV6e1z8OxulWtCVq3by6dkLGGq819Md4oJL8PkbRDYdh8sLGylkUNspoltjvjeYp2fXvkboMbWQpxVYnw8q+QWeGsMLKlAad4FCkddlvrpxo3cUS+Qkk03UrJikhZ5xuxSxQLvqtzwB1zRg4lMKodEY3IkV1w2GYvBjnZtNGGVVK5XoDqbxbSedQMsCk2EYpwwadQxLsYIWVKQ20gJCpXfYbzVMysikvgWS67knMOp22DPhnV4Bzmi4+9xOsKEkbkSMpcGmnwQsMUxrGudm0raiy0TzF+19AKu+W7TlcZNi4N+gckmAPPxGmNJiK9GdR9lZT1sy0xbW5QNmZxgz4g567FcVuQyMmsgoEM5241o3OmzzqDCdVKLE5h4sMG/czS1s5YRZhCyuTK1lcG0VZ9oq2GE6bRRIobwZ82vFla0UJHt9FOHLMG1MG0tSNLhN5WhttZZh6ZksVFfvqd8kbFWUISZgU2MLK5EYeXVaKsOwVbTGcRotkGUk7vt66DdzzAH8xoq0o0eP3EP+NCV5gmDIwyd3UirQ2Jlluj+UwYbbTS5YtedWqTts1bxYRUpIP5TEAP9jfvwvP4wfnwoMPnsNHH30y7ssYOc+8uzBojRkkj17S42BW32NZSTO+tjs1/OKt+b7CqpBYqki88mh4gaGOb8ukjvNJgufkdEC9x4dvLmrbpQpI/Ojpu87nUUrlXldAINzOdV7IQee8F3Yag5auQag5Hd3cBo9nUlp1Si6AVMcqA3nPx0pFYHl5EQA+DeD92Oe5nYmZecbh2uDsytkhzfjauj0XUVYBQGChithikG2cShz2wOOPYTJAWRVtStBFCYYX+Cpv3HJ7aaeBy4SyCgxlQnSdefmWWyms7U4NrbcXcGknHu4AYKLDOEYJK6yMM5SSOOpsS86unC1cxpcaoy5NHLKNU4EDj8cfw2Rhc+UkVQk6HTblBnWKbJBH6lK7zhwQDWl0ckX9/sDzFecgwXCHMuYMlA1WWBknTEriqJOPZq3g85XdOXzq5iIeurmIT91cxJXd6bxPCtvxFbWs6FjSlLmiFkuqCLmOpPHHHgGGodlonhpL0CXNH5uOg7bMC79D2As7DY3ia98cJklx5th3e1hhZZxICorPy7Vhs7DPUnblld05vLFf77uuBHoQeGO/PlNKq+34srGs6EL3qcXSNulKsdcV2rHLHgGGSYYqQaeSLKn5Y9tx0A6JIwm8OZC5+u8EoYwzSesRJ1fZw5KScSJJScyrDp9NNvgsZVd+c78OXcvFb+7XcXVtcstnuTLoXtVPXFDWzOC4sNmwfOwJbQIEtVi6IIBB8lZw7HK9RYZJhpLrVcA4f+xCANTaYPresDKIeSURoW9QpbCo+1HnmuTyh6OGLayME6OIU7V19Ze1/mkRbt+e49+nFRsrpc1YfKAi8VLkOC/tNiyTO/wOZs2qFwshEJDa5A6lGOuYRo8Aw6SFkuuUrFPzx7bRB41E1aGM3fB4/n+dXgWXdxp4KCL3qfbgALBUydYUZ9ZghZVxYhRKYtLCrhTCyzsNNISvOBSdXWmrhBbl9q06/r1oxhWLmbSZ2e7UcNgDTLaReSFxHwL3I8e5LwXuQ8TGd5TVul9i570nD/HqejhEwdQGeNwtIBlmEqBCf1YT5o/9PNKtLxKvrx8jVlDEERWKoDbArbf9dWq+35AgyLzwS+sx9rDCyjgxik4qlOCpAHjo5iIuB0qDHHgVHHkC19aPC8uudFFC0ySC2Sh/X1ruIq6Eyf7fR4vueVzeaYwknpbazOx1BR5/ZwEv7kSzcSUWq8BSJTxeD4mV6dBDvzYjtfiFN2fR7F7TolpWjwDDjJq3bsMo83RZ80nzR/e5CxvN01w3j/elvz5JCNxDBXVgJMaVaYYVVsaZoDDZXDnB1u25XC1tmysnOBMTPHKQcES5XIvCRQl1dfvaKsNX107whYUeMNipS3xhoWeMX01jBVW/UZUIou4tQP88ZMFJYOq66OXEd8l1NXG+y3Wg/ZR9yZiN5impeDarZheeaVGd9LaZDJMH250avvw9OHuhkuZP9POlihdbRyjXvJrvWZVeE10InK2AS1dlgBVWJjVFZj3Hs7jNcUUqM1t37qzuaxcl1NXta6sMb3dq+J17VQRjpr59WMXj79D37PpuouWgegH3VvC3dKyYwJv79dzDA2zKVJnYOQ4X9N/u1MijLPVjWC+cP4XOov3nHkhWdpMWVa63yMwyumYeR1LghZ1GooxOmj/Bz9tPHeLrkbn43HI3ppCeEX7Tj4dvLmLr9hwuNrtYrXtwKWdnC8erZ4MVViY1LpZHF6Vx6/acxlKWhK9YvbjTiCknWZVqFyXU1e1rqwzrM2B9q6LuftKEJpiybIO/NbnNJPK3dtPXZb+gqGekxoOuWHgdw5iyG3dq0FVleGO/Hhu/0bENgJVShiGgZF6v7z3L0/ARVXCvrp2ENpQLFYn7EgPX/V63guudOjZXTvD6+rGmLnM2JZbj1bPBCmvJmKTC4lSpjqi101VpzLIL7ULg5VtDhSmP5gIuSqiL23e7UyMnYFSwmZ6J7n5MinB0jF3ZnTN2hVKoz01Zr+p7eY7hPKwS6hlRym8VEq+uD9+TyYocHL9cW3U6mSQ5PGnYKG15hXnp3qNSYq+tH/ctvfH14eVbfqmsaFLlFxZ6pOyrY5gArKsgwvHq2RFSV0Hb5zEAP9jfvwvP412BCw8+eA4fffSJ8++i9UcBf5CXNc7tUzcXDUWV/Qn86rpff1LVpQyyWvfw3ScOB//e7tTw8q25fts7s5Lilw8C8T3ffjasfxf/joCf6W0i+B51NTuzvBPdu1bo3rmvUNL7y+j9UN9vVj0ceSJyXrtSLgIS1/pKnWpkQD3boAUz6xh2uxfz9QPQWldtn18Q320Iq7HN5ENa2erCpMnhSWO7U8Mv3pqPhQVEsZHRSeeJy1iJZlVia/WEXJfU915fj79vSi5UIfFa5PtXdufwzf06evCruXxpuTt1NbPzno+VisDy8iIAfBrA+7HPczsTk5lJazWaVANUWTtt3N7bnZomw3tIcPe6Wvdwbf3YcOaha4lSZWx2+cFM1q3bc9hcOcnNzUtZ+gTiC6NNqabo/VBWYSnjxbdt40KD7v6rayd4frkbszaY6pCmRXcvAhKdnsB8xU+uGCaj0TxSl9bhHb4lxHy8D7qCa6tOIZMmhyeNjeYpvvFZDCyXVWKeJcnoJCt4UhiV2aOkf9/UbzwgJrOvd8KdCa938o/vnzVYYS0Rk7b4UZnUQQ48u/qTprhV5a5978lwXGBT20YzjISIKVU2rpm0may2UO80ekfKShAt1RRE3U9QgAeTB4KhCR972cZS8Lqvrp3gmkMd0rQEwyxU0X5V77DTq+BYCrxu3MAMnxGlyF84fxqLQ11KaCJQAa3Scqza5DJpcngSeXZlGOf92vqxc7k3m1CcpDCqJIKhTY+/s4BP/+4C+d3ofC9i08NhKqywlopJKyxuWwLEJgbUJFyiu1fF1qqu/FUcCfR38f5u/mKzm2ghpTJZ87Ky0B2VwuegrATVvuKmFFEAMQGukgeCSv6ShZJvIjoWoyXOqEYGWcewOs9qnbbgmjZQjf440cUYX2x2cb1TDz27SzsN3JfQJF0ohmXWonCs2mQzaXJ40klT7s1GIUx+X0lhZ0ODRadXwaHUe/8E4vM9700Px8r7zNbdlpzNlRNt7FRZFz9foKgYVf3iPaxbeWyMATX1W6aULJvzo/9XFWvbA3C9U8fnFntGgViklWW7U8OhYYcfPAd1Pg+IxVza9KmnQ9aT0QlmhRKoupjmPMewqXGAjz4e98DzBTzgL4TR+GDdpuBQisFGJ3xMKuZXYjWH+GZmvEyaHJ4GonMyCRv5fOH8KRlnn0x8Y0x/EwNFWd0DtZ6l3fSYFPRZkjVsYS0Rk1hYXFm+Xl8/jlk7zwg/uD34PSoGdHPlhLRmfdITGXaS6WIqi7SybN2ei7UFpc5hex22CvYBGRJgvi8BieeWacv05h6dfZ/nGKafvwj8p8e12QMAwopKb4zSxDdTVRtm2fU3TiZRDs8aNnJRX5rOx1TlRH3DnrjFM++udhym4sMKa8kYR2HxPGJjNpqnsSLNXw8I+aRzqBIiOkHShb6odJaC8ntdsxK8uXKCs5HZ4SpwqHs2CZnoOWwFn61iS7ns9fjWRZXkRmW4bndq6PTskhGyoi/ob89eV4Teh6m0mCtpNjM6V98b+/WZd/2NG27wMB5s16JsYWZS20AgK8ENsWnTk2a95TAVH5aCM0609MdeV4Rcpy5Qbh3bc2w0T3F5R39s5WoO/tZU6B7wBdh8RRLKlPk+N5qnOHcO+ErbS1XKynTPlLtIZ420CacAfAH+0m4jZLk9o1Fs6coO+nCO955MLs3kC2n9e8hLoG53atjcm+u/yyxWBX9LtNcVeGm3ASlhLM1GEw4LSGs9oWKUg8yi64+ZPVzWoixhZqt1iatrJ/jcYm/we7pEohtBJVm3HqZdbzlMxYcV1gklr7qgo4iNoc6xuRc/hymWNXp9JkulgMRPnu3hnx6pXO74d1U7QEpYPLsCfLGerpam6blSwkdXzir4jq+t058/UJHoRXRDXbzqqsXzVXR6Aq23FyAEcNCjx5nJkpFWoEbv7VAKYxhFGuyOR8WrClT6tYCDz8V1Xtq69GbN9cfMHq5rUVLc64Xzp3hzvx6rCa1kUvD3dOMUuxrViqQNetr11tZwMe1wSMAEkmfG4ChiY6hjdTSxqRfOn1rEF2EwaSkkBH77sErWdVX0+pbWvF2uSc/Vz1r3/2tW4zFySe84+vmBV4lZCruaWoJUTVM9/nE7PXqcmVzqSxVpJVB1MZzRe3NRVlXNXlUVwsfF0juswGDCA3Bt/XjgMk4zL20t0LPm+mNmjzzXIlUHNZy/ICGkxOWdRswVr1t35oXE88vD0oBJMsTG4pnlHjlMhRXWiSTPGm+jiI0xJcoEr5kSMjoq8IWMKQ7JNstTteLLE+qeH6jISF1VgU7PP39QgJqs0tTnOqJtUgHEYqv+4BlVeD+Z4DhLqgzwyqPJ1lWdkvfmft26exUAVOA3D1D3o2r2fvj0Xfzw6bv41hNuzr7VuhwsCuZaw8klyJLmpb40HLd0ZGaPPNciKtTmHuKbSd26I/rlD6+unQzauJpliMSR9M+rjqmLU+VY1GzMnMI6DcV389yJ5p3NSJ2DUoiC10wJGZ0FUHUOWavbK1smDrwslQjCbHdq/Rqu8ecqhL7TlCq7lJSYpazSLu86qAy+uNMAgFDt1H9+3y1pTZ2bUppdKgPojmG70QB8a+qvrh+j/ZShAsX3qWPGrSa6pDe6FqtdCTLTu9IlZwStOpyhzswKurWoDol7HpzXaxv5qAwVlAzyqwz4bN2eS5BLvvFB1XC+tKP3tIxivZ1mZkphnZbiu3nu0vIu4aLbEGw0T8muQcFrNnV/qmiUhiMp0CaVLddnkU9TADXGOr1wZ6qliv9cD4hseiBsjUuyStu963j8lWqXq0gWxHEq8BcQ2zaFJrKGngiLn+8am2DFrSrBTN7LO41+ubbk8Zt2XkZdfcqqM8uuP2b2iK5FSxUPQsAYkkRBN2YJc+AJUo7ZbEb1xBNDg3GqeVYPmDVmSmGlXHYv7JRfaQ0O5ntevAOPbpdmOwHyio0xbQheeTR5Z2lS0uhoQnPilQtBobTdqeGxb7vv7Ckr8ULVf85JyosSnklWaV3MVTVmMdQ/m2AtVneF0e/wJDVCWeGycaK+G723OqR203KfcLkHxz4t5PRWleg4pjrcALJfZsuHioNj6wnD2BFcixaq8cRI29A3m41s/5vkJzabUReUrNWtt9NiTCuamVJYqcW5qMSbvIgO5k6vAiEQituLWkWv7M7hMuGWKIqkDMgkS6651aurYuUrVSpYfqnioVn1z61TfIChUFLPe+cYzs8uyS2c1M5W9M9vskoLAG/sx2OuKo4ZrYBJEMefW9Xi+K4KGuUiey7iFn91/ZjcfkSfeXS+9Ab3k8wHXWEdH4x+WEpSHBxbSBnGnSyhbyZPVpzkzSgda559cw7km5cyzcyUwmoaMGUZHDqrqG4w35e+1U5nFd3u1GLlPIDi7zFJwCRZcpVSSwsB912uhMBqXaL91CG2Vk/wSF3CQ9yCF1S0sgiPJLfwRvMUF5td8l4kBC71s1j/8LwuPlfC01g3JQS6lspqM9Dqlqoa8PxyFx8+fRftpw7x3pN+0gFdw1WSm5AkdBuZi80ubtypxcq32LrcKSt3tX+dpnH0SF06WZ3VuLCJg2MYxp4soW/ZLaIC39yvD4wUOjnlGxTsZEXSRt4mLIGZsTqsuvqXQcY9OKiiwkfE3KOu1xSXWOQ9uvZPjtbaVPU+KwARApDu2j/od7UKPltf1Ph1NKP937Ps7G0KPJtaBvr4cVX++eKKl+l3SQTb5QJ29f3Us6OOv1qX+O4TdvVqqTqlwY5oVGFt3bM9IyQOe37ohjoe7UlJekJ+gofrUmcaF+OWKdNKXnWomfKSpVh+0lpvg/K8qjrdanyFmw3QUOtLlO1ODQJ6ucPVA8LMlMKqFucXdvSleMY5OLY7Ne11HUnfMqSzblHXa1oki7xHFwETVUyCcZV5X+EjdUlawFbrXkzZclW8g9gogLZKjGsyFHWUZlUaC/8nFeA2uchdQgBsuryYrNv+exo+26WqxCc9gQNZCR3vgYoMjachyYuMnyxHobeoqHGRdswwbuTZnY8pL2mL5Q+9khisnVX4G9alvmHEtmNeMKQtOu5oZKKSGoQyMAlw/HuUmVJYgeEkiA48ATmoWVn0bj1qHbhw/hTXO3WyRWQPvmJgu9OkFK4iJkD0Xih3bhT7OMFsqPdKoVMes7bBS1IAbbp5ueLv5uPHbFZ9i6p6R8Fe17aYOlm5hADYdHmxCSsJdqeJtt09kgLzFRmbL3YkfT/+eXBccOvE0TCK7nxMOUiSpVGiSqVaO6NyqvX2ArGpjaP0gsOeriRhGN25kjBVx+HxHGamYlgVwXgUFX+nsp5dEmzSlKFIUyh9tS6dSk9RcYnPLeebAKK7l+udOjZXThIrDqRR2Gyz/lW2fPC92ma0h3fnAAqohZlU2zNI/J7j/16qeHhuuat95080vMzZp5SVcLUe72RlmhM2oRYucWvU8Q56Al9bO8ZSJZ8avRTBerN5l4ebVvIo3UO9972u4JJAM45t/sHHlsqqjy83aQU3fQw/YJavTJiZVFiBYQLQaj1umbJJsElbhsK1ULqy0riUntItntfWj3F1LV9rT5bkpKrjuVTmuE17vNfWj7XvVffdoAUs+E7Rzy6fF8jd4r7RPMWr68kKlS5bPlpU/vV+0fyraye42OyGFFzVnlb3ji7vNPDQzUV86uYiHgq0RNUpE7bFrpPmhI0y6lJYe6lqPt6xtHP7pUXVmw3WbAXC7VqZIXmV7jGVv+OSQLONbf5BulAdOoY/S0lIbiZgj5CSfHGPAfjB/v5deN70avoP31wk40d+9PRd8nfPvLvQV2zCrNY93PoTFXz00SdO59NRha98lXXho+/F/6spJOChm4swKxNykHxVBfBTCz38/v1K3zKrP2cwbijNtZneqW1SkSum63zd8d0//s5CQgxmEuEYzaB7yybJJen56WLAdC40m3Ntd2p4cacRq4xwRkh8fc2Pe9NdS55UIfGl5S6ud+qJ98TkM78efPAcfq19ZBVLWOS8ZbLx4IPnyDUyC5QMjI6FK7tzeGO/DvcNLS0jszCpSYR5v8dKRWB5eREAPg3g/ejnM78FpeIJKeuNIm0muSm+VDpMhDIMcDoW07fzmZIhVi3iOD0M45C+fVgFJVx0z4q6NlNGe54tb23Y7tRQAbQJdTp3e9KxovGc7tBxgTaxZCZXLWCfRGFzrq3bc9oyXgvCf27K2hknqRSNfamaHoSxfNwkLDijJK/5FR1HvqSOH4MrNEwvuvUPAD7RyMAzGmtlcqUWPc2qxNmKzH3ddY3VnVVmNiRAsbly0m+9GOaTnrm3fNoacVR8qcQw9jIpFiaLay3P9m9JRfABOkQg+bc25ZzoZ0UVer7ngbznPFveJqHeoS7RzuQOot6f/4zpGKu07HUFWm+bx4m6JlPLh2A9wzy6qlHKiIpNo95Zsyq180+Npectwk6CuJSPm/XWi3m3lFbjiIr14woN0wm1/r18y7yJDZJmMzPfLwnIbZPHx8wrrBvNU9Q0YRFdmGMx08admBK+ehBWMZNpY0fzbv8WjZWlFnqdpTO5SUAyAiCFhjp+OE7U7xJG3fMoY4moKgnBRJ6ognNld458f6ZM/oWETYUZgQOvgheJ9sXRuF/9FeTfsCJJ+dFtRFUN2ovN7mBzWO0nI37YX4Curp2QHcayXB+3XixufnEM4GxBrX9UUpQuwcptMyPRrHISZRmYeYV1u1PDPWKhNbmss2QFZ034SutaK6L9W9DSQSVSRf8eTFJxTb4KEhQ6lPXqjhePeaXuOfpO1xsoTEhR70o1TGi9vYBLO8nVJNS9mATwGaGs9+mhNnC25cnyds/aKCnRfaiUwHfuVgMl5PxN4vVOPZRw1v+29bWYuqYpqLn38q3xd9cbFUVVUuAKDbOFqyzRyUYb7yDgy83X14/x3pNsTS0Ds7O97xONfTnsAZRlSLkyqYGaNe4k7zjYpF1j0TGaVOvO4N91dfJc4gYVQaVAV0j8xZ0GhABZ25a65+A79QPKixFS1Dt8oCLJhBLK/Tw8ju45KsuDvjyWKqht8/x1z8x27OTtnk2Kh9XFuHbht1vUNecIxqIeeAIVSHiR51mHX3T8fiTByqb2MFmCyxNGGTNtFBWrl+a4ZcgDYNyhZGezKnHkIZYAqbO028ZBe+BaqGViJiysyvr20M1FXI5YrUzFg4twZQYtgdTDTxMHa+MCKzpGk4olC/6d6vPuRjjJSnfMLkRIsYgy7vg2XS3WKiT+pSdSFrxPKuEUf+ardYkfGmIAozxSlzFL9gMW7vOi3LMbzVNsrpzgkbocNEVQlnVTe1Yd0c2AB4GligxZ7V5dP8bXNZa8q2vJcW2mUkxpZMysx8NmhUM0Jhdq/dtaPXGytGeNg+Y5OHqm/gnresiHMSsHrtbH7U4NX/1nwO7xYmzXbmNd1GU0Rknbsi5rB6ckbI6flzU32LHJ9ZhliW8TEcOnraUzL1QHF9VpzaQo1+F3ZItass8IiTpkyJpZh8S5hHaweWBq0UlZYYYW5WQ+9gTaT8VL26WttXhpp4E8stm5NWl2qBCNF3YauLxjLsnHjJek9S/t/HRZG3kOjoepV1jtYuxol7SNJU65lva6AkMdRGCvK3Bpp4HNvWF7zCTrIl0WN0waF1haRTfP49uW9apDwgPl0hdWyomOKspRI3Pr9pzGAjzqMjz+c7zeqYfc2g9UJO5D4LAfULtUkXjlUf34vS8FmlWvkFIvSZhisqkF6GIzXjeVamtrYz22ZaN5is09qS095iJjPuiKfik0/X2Pe1yXEZ3rn7bAswIyCRQRWtIQEkf9qahaWuvqP6u13lQGkCmGqQ8JsLFeNKt+FmDU/mpjiYtmSccXvmFmuo1SlVSdICt5lRWyOf7miq/kBLPc73mA7jlHOzq9un6M19aPsVChqw8ElRObAHqUqBGDm1Wt2PCFIylw405t4F7/2BNYqvrJBh8+fRftp/y6tdT4PeiJsZR6McVkhxNxEHLfR92Gzy13ta1yD6W5tJ0rW6vpQnmi7mvXuOxZhnL9J9XZBrInpDKTgRojB56qdCJwpAkVtKmIwnOwWKa+0xXVXUXh2s3H9fhBqpDkYhMmuVNU2dF1NYpbsv37fG65S7aNTX6+Eh8+fTfRAgUASxVvoHzZvOs8unhQ57EdN/6YAcw1Vl2VX933JeZFPGHBLz0GY2ehcXUUsu2cZPMebTvkZKVIGTMLnZ1c5yT17JYqHo5lcrx4UsdDJh1FdbpKg40c2e7U8MKOvm429ZtZgDtd5YzONagK9a9qYl9clUOXHZXfm15ahCgkd4oqO3bJVf59fmu/jt/4uKaNeUx6vsFKDlSsMDDM8H745iKWqhKf9MQg7rKo52yKc9KNyyhKYRy6oMKo1qA37tSw1xWR+Ey3nX4VIN3r0HwWvMZxxQPnGZN9QHQJy9tiUpSMKUtcdtkwNZi4tn6cuMkdd3ImUzxJ1XNMTV6C8BwsnqkPCdDV6LvWd3Xm4b50EWhVABebbp10XN1So8pcTDqPy0Lf7YdN6LJ1k56vrpJD9J0vVTwIgcE5Or1KrORREe4/U4yluka6Pqofb6ky4XWu5NfWhxnqr68f4/wg5pJ+9pX+saPHohKRPugKY1OCccYD51l/c5RdzlyhrqHabzwybXVH85RhpvcaDF96bf2Ymw/MKElzPzkPxm9AciQRqlTC5E/pFNYiFK4i4jbVdfqJVroBH/+bKlLeJOOn9H+3Vf5GVarF5jxZFvqg8mgTn6p7PsF3vlCFscRV9Djq3VZ+E5nGYNLOfaN5OmgUEEf0+10nK2bxGCwKCS9U/spX5v1j00Kbeper9XjLQ8WoNk55ze0yd0sybVimrUVk3jIs6b0Gm5g0hJ/LMI2bAIYmaYyY1t86ZN+z5cvVvW4FL3F5tMIolcI6rtp4rourLtEq2I/8W08Ar6/rrWdHUkBKaCcI1RLSVvkropOVy3leCLTv1Cua9kpsUKkLtrLVkbZhgu44V3bnArV6kWkM2ljtTNcevG6TYmZrAdCFZCxUYbTibq6cOCtzk1jjsszdksp8bXmTtwyLyo+gJSza6vjAq+CoHyqQtAngGpzTQ9L8Mnk4zlTioST3pcDmHifrFUGpFNZRKVxBXBdXFXwdvc5odQCT9exjT+Bra8eBygQSDSHxh+d1Splf/9KGojtZJR2vBzF4djoh8PxyV1uNQUdQSChl7fWUbjsbhX9e+M852PFIkXYM2ih6mysnhIXefqOS9H5X65Ici3tdQb4vJbRdFaZxzOMkbBSMoitoZKHM15YnRcgwtSE7I8KWsDcMrY5NTOKGjDFjml8mD8chIVh15euY7JRKYR2VwhXEZXFNDr72hdeXv+d/l1I4JIDNvTl80lPuWX93/9uHVeisYMo1HL2W6AJsOl+eVgCTIhV8dlEhcHXtBO896SuewfjSM5ZKaFpLk07gnBH92NbAcW7cqZHtT9OMQZvr3Wie4rnlbkxpdXFHm96HOo6p01Jwk0EJbReFyWYeF22hCh7/D/x94KWcFAy2rGUj6fkVEUu83anh53ca1nWPk+b6y7fKtyFjimOWPBxlp1QKa17CymVRcVGS7ZoQAPc8JNQH1Sf+mHrFB++D2uFfOH9Kni9PK0BSXGlSvdmg8tN+6lDb7jIYn6ne5ePvLODlW+5ND3QC5+trx2g/FVbATAuVGoOuCouNond17QTX1tMLRCr8olkdHsf0zvJebJPmcdEWqujx90/jMcxp7pkta9mweX55xxKrc3oOVTOS2nFS7by5Buf0QslxKoyP+juTjVLVYdWVIwrWSS3iGLa1HAG/JBKlVEZR9ftMnTFcCZc50l+zKtZPnS+vOnHbnRrZarIKv0e9+l7azlr6Wq5DqPJkaaHGgoDEtXV9PVLX8VkUNs/Z9M7yrDeZNAdd5lwabOuWut5z0dc97dg+vyu7c/jmfh09+JVVvhSo05xXHVaK6HyOzqt7HrT1enX3wdCUqQ5rFrY7Nby404i1pn61JA1qimbUdVhLZWHNw/TuGj9HuYsPe8BDNxfxqZuLeKhvTXNp1ah26WpnlsfeW91HUocf0/nysgKY3okqkZTVIpVk0ZaBeDRXS5fOUqobCwJ+F66N5mkpYzMVNpbcjeapsRqACRfLctI8Ljr0xyXJLo/jsmXNDttQkeud+iDWVFVWybtShw4RKCWnriUqv+jYxHJUlGBGy0bzFK9GvGOzoqyOg1IprED25ALXRSW6uDarHqTEoERQMEj/UAptC8coZyuICS+3vuR0O1K109dhk32eZ11JSvlRf8+q4LksNi7HpRRpAKGxsN4ArvVrnZquZ5IUljQu1zQbD9M8Lnps2ibZuSoYZa7VOgnYPL+8N4U2LVgVMpIvYNf8xKdZpUu8MdPNrCREloHSKaxZSbOoBAeclIjFliruS4FzVWnMdK9C4hufDVsgtzs1HGothbTCZ7KEUZbAYDWBImLBbCySNvXrRm0Bi5JU0F+Nhfe/gJEqWqMgjRcjbyWi6JqnuuPXkb3GZplrtU4CNs+Pin9XcfwutZG3O7V+YmsUs0FA97/jvx8yLyS2VnkMMEzRTF22QJZ2jaaAesVBT+BHT9/Fld25WAmkYe/1eTzz7kIo7klXuH5B+OWGqGuN3ocKVbi808D8QGj6n8u+6+xzi71A+8fj1PGj0ecSbTH64k4D56p+TUPV7z4aS/pIXWoXIFsFz6Z9aZrjplWk82wFOk6i7UHVZoQaJ3lblvMcmzbHX2sIfOXh7G66oq972rF5fhXAUIKtMvj/Nq2Ut27PaY0PSxWJhapeOV6qysFc8Nu1xvF/L3kMMMyIKVXSVV6kTfSxCdAPBtZHz3Ph/Cl+4+OaJihfV7R9mMxDXet2p4bNvblI3FSSkiAzJyG5JBoodMlHeSXRqWtZqsr+s9BbTV63jB2yTf7QBZRnSSIrIzbvaNKTjaYlwWNScZkzD91chG1yqkkWb66c4PJOQ5skq+SuziAQ97CFZXdZkiwnHZ6T08Gok66mUmHVYSM0k6oAKEGnE1ZJGe06khb8NMdUpBWs+nPqFe4ouvvJW8GjlKeliof2U3bKk60iPQtC1UYZzWPjMU5m4T2WFdPYARCTDVQVCx3BSiy6czSE7OcihFFjOyqbDnvQfr8K3xM2DRvUssBzcjoYtcI6dSEBOnQubZ1LiXJhKyTo7Pi/citJsYzv1JNcybZ1X3UEYzIBe8XRJdEgis5FrM6hzh1sKpAGyi3/yqP2bnl27Q6xcffz82LSQsU/b+7N4cgTMZm8UAHZPUiHb5EFojLqSArMVyTmhSRDeKKhMQ8PjhWmB1h7b5jZYdq8bZPATCisSUk2iqSYySp8oRYdnFd25xKFbJq4p6zZ5+r3tgp71nPqYkhdzm1DXspTdLGaVWzjjPl5MWmg5IkutOdICkCqhKjk0KekmtgHPTEIudrrClQBHEmQm2baYJFNZjHTR97rGmPH1FUJ0GGbNKIyqPVVACR6ENqyPt/cr8MkYJUF0LX0Rdbsc1XSxSXLO/mcbu1Ui6hdymVE8oMz35kicZdhdIOVal9FrViGKD1Sl4EubwiVKNSVZRtlNzhmsilzTe5pJjGGdXSXUhyPfRvYOY7/vQrg158Anl2Jf/bWbWDz+8DuMchs0fUG8P4XAPGb5vNfWgWufdb9ut+6DXz5e36r1zQs14B/8SeBym/qi7gIAN4X3c6p7jn4fNYawNZn9M/R5dzMeLB9lwzjik6enK0A8xVg32GfebYCfOOz/rhMkrfR7/+Bv68/l5Jl0ev9mXf1x2SZxSh4XSuc2U26MiUv2SSP0MlY/l/9p2O2sCadg4qHiWbJf9IToSxW1Z7U1G7TNcv7yu4c3tBYjdO0nCsiw3xUsUOcGJAf44z34vc4XnTvHkCspSXNsALIgw+eg/hNk4U1XCXFpR1xUhvtSamKMQlM+pyc9MopeTHTrVmLQrn6q5o9UdSMryuQT7u1xKA9KFWIWneOKKZOQkH399lKvKmBhB+bpUNdt6vb1+/2EhfY51J0c8nicta9i6ztXpnRw+9s8nFpzRtFF8Kz0TzFOcsuVKv1sNxZIrsG+optMExoc28OlHIblOvBMar7PofJMEE4lGo8zITCCvhCk/KsR5OTogvrhfOnZGzTEKW06r+nOrXoBD4VD3NppxFS1KgKBj0g1jI2mg1r293IdJ4Dso82TZrOSuo6dO9ic49jhyYNjveabIracNjJk7gS8MqjJ5oW2RLPL3djcqVDniN8XLoiS/rOaMx4yLK5siXtusZkY6ZMHEkZ0dTCeuNODV9bG2am0y54c2msYacWXxl9+ZafjEVn5otBVykh9OdU3xNCYkl4+NjTu1xtsrzVwmRjkXAh6dw6lyH1Lo50wcTIXlFhlinaXZ+lUxaXjhk/tlVWXEkqIwgATY1Xp4gya0lj8fJOA5t7fmMBSsYy42eU2ftcOWX0zIyFFUg245sW1qBba9XQU35z5YRQ9+K1TQ+8Ci7vNHA24S10IbStXYPclwILVWTKnDfVfS3K3UFZb5IWsihZKyrMKqNw11PvJumdJV3bKCwpTP6teRWmrHzA7zy1taqXOUoeX1v3s2kv7TTwqZuLeCgyFujwgbCFnxqLAhiMv06vggOPw1rKDHtzppuZUliTzPi2C6tJ8d1onhqiWeNICBx6iJWJSkOWBcQUCgAU19WIEjBUXO5Svxh4EI4dSs8oBHzaeC/TtXFc7OhIu+EIottcBOWxLwlVSJVEs+rh6xaJqsG4U13ZKr+hiP46g/JSrzyba72yIlQ+itpcMeVgphRWwFzD02Vhna8MhetSxRu0Gnzm3YUUVyWwIORAcKclrZUxKRQgmvSQJ5Qg6QHad/HKoyeFxQ5FF9W3bmc+ZO7XlLdCRj3/va5IPJfttZk2iqZjmK7thZ141Q9WIIoha4KJbnNxeaeBK7tzA3n84dN38aOn7+LD/n/vPZnsJTJ5hIIhC00iueuRuhyMv8s7DVQg+zVebZsXsCJUNvLYXDHlhc0RAWxio3Qlso4l8J27VVzv1A2tVM0C8GNPoP3UXaKklEQVqvC1/nhZrIzjCAVQUHFsq4FYVt27yFuB1sU+ffl7wC8/WhtbnNIo4rHSdvdxvTZdvJfpGABd/9i3pulhBSJ/ssaM6uSLhMCb+3V8brGXeiwnvWv1+dbqCV7abYTCqs4IiQvnT0Pj7zBFG2xWhMoF1bq7qHA2jq8fLTNRhzVPqPpr1X4nrDh+XcCDnsChZxKI/vfueUCnFz9+s+rhbAWDyXHh/Clu3KnlMllMdWaL7qGt2wDY1K3NmzLW1TONtddyei+mGsUAff95PC/qGM2qF+oz74Lu/JNe83HSoeWL+/wKvktq/ESPvd2pxWq+1iFxriq1staWccipaaHIOTkKRbIs69a4GXUdVrawOmJyYesQAL77xCEeurmYcGTRt3TpNwcHPYH3nrwb+ttV5LNrNFk500y+aLMDU2ZtERm/aShj7BM91vKztKrnTxVXj15DuLh6HFW+zeYduvSZtyGNJYWtJOmxfXamagBJ8yt6jq+2gC/W/c901jSFgByMxXtevH51FwIdSmhbMXvKyaQwiuz9oipnMGZmLoY1K5QLyFS8f7tTc1h+8y0pZUOeRZCj8Wo2mbWmuOJRUcbYJ9O584zX3GieGitfKJKKq/v47/kliwSoBwwZ3LZU+8k6aWKZr+zO4fIOJ26lwSXpza+c4j6/dOf48vcwOEc0aavajz0Vg2Qp/zd0Ldb0FBnXz5SfMho4ZgFWWB2hlLsvLXdJpW/r9hzpcteTrDzmmYyTZxFkUzwsUN7EGN17PVvBWKsPJJX9yUs4bndqOOwBSeMu6d0GuS8Ffn5Hr8Bsd2p4/J0FHBhDZOJElZ554YdG2G50gnOm9fYC3tivx+ZlWcdn2XCpLrHRPMVzy13t+zPNL9057nkYnCNofV2t+2Nhta7L7NePM13FkfCvhgqwy3Uz008ZDRyzACuslgSzSRvCL7sSVO6urgWz1xFS+kyNAXQsVaRReSyipE9eVk4bJaqMu1Cd0v6Nz+af3JXmmnQthYF8hKMaSwde0Grqj+/ouHN9b14/dCE4LtX5/NhB++PNC4nnlrupN1XRORO+3zBlHJ9lw9XCdHXtBNfWj7FUUZVQZL/SShwla01hBFnrN+sqjjSrHpYqw/F1bf0YHz59F9fWuaMRE4Zbs44H9n1ZEA2wPvBE3+0URsXO+IHIw0QCm44uCiVITQKxzPEzNvda1l1oNPbJf49jvCAMY0yLynzVW00FzlbiLk+XcayIjksXK+2QYbxg2rhtl/OWdXyWCWosVIBBjVUdx3IYn9zpxWOxk5IA1bkpGWhXFjAcfxo1BiirrbLkckcjJkpZci9mDbawWkCVZYkWqaZIcu0qKn2rw+WdhtHNX+b4maR75V2oO3n3rQ66xpOSYYLfvedB08M9meC4TDNG84gXtD2v0PSuZ+JQ87ynsaorbMIIbDYWe13hvHEKQo0nbkbBuFCG3ItZg2eiBUmLXZJ1M7gb8wWt/ngehiWtTHUtl6pSm0iwRBTIHiXRnWdSlQDGjrysPDYWLGCYLBj8bqcncEZILAkPB57o1wb2d72ewb0ftFiarbTqe26WZJtsdTvrsMTnF9LXBZ0l1Dx/YacRK+dHyUObjbbdxiK9sjrfr7/6zLsLsRKBOtl8JP0mFUX0omcYxg22sFpg4yJMErRqN/b6+jGZMasTlrokBqp0Ll1Sd7QEd57vPXmI9lO8Cy0LNhYspSS+fCv+XVV8fbUu4QX+f9KxFFQLzKWKh9fXj/G6Y7ygrVVMd95hVyOFwO/cq7JFzZKN5in57nXykJKjS1U5sOJnW5BMAtAfYxebXVzv1EPj5Y39urHyhclqzDDM6GCF1QIbl75t3BuVMWvT71rxMZFdTf19Gim6Zem0Qm+swuWhAJBZ/AeeCC341BGrkVhBZQk9khiUIFqt+4pq+6nDgRXZxc1mm62uC6t4oBrvPsdVAtxwyZbWydEzQuKT3nA8+dbatDtvynsl8YWFHtpPHeLGnZo2ZjsJHhcMM35YYbUgWu8va5kTlTEbXDyXiIxZneCf9ZIaHGuWHmqMrNZlSEnc3JuDqdZqEAlBlpyKJtMoS1YPAvNiWDYs7ebDJZ5bKcPX1n2FnKrPWYZY8EnBJVs6umlYqng4lfGi/tG21MMaq674v3t+uYv/6g8eAcj2blUjApYz0w0bQ8oLK6yWqMUurzInUUvSK4/aC/5ZL6nhUgOSCWMzdrY7Nedi6xIwzgnqnW3uzcU2H5d3GnjIcrGw2by9dRuh+qsvJTQ/mJWNXx64JgQGNw3HUhhjn32GNVbpUCqa8xWJ3/i4NlA+6GYVNvDmeNphY0i5EZIOfHwMwA/29+/C81iAu5C2v65Lm8hZbilJ9SYX8K2EeTGtPeiTxk7r7YV+nVJ7knrC0/3k4275IEn9uZN6em93avjFW/O4Zwq0jZzvYrOLG3dqMzm3RoVfZ9VujKl57be3zmb9PiP8JNC4VdeNpPHOmCmrbKXGJb9vPXm/x0pFYHl5EQA+DeD92Oe5nYnJxCwroK7MekhEVpLiRF07UNlY99O+myTLeZKFb+v2nKWy6v9Wl5TDFpb8cXHNq7FDtQ924b4UOFeVg/CuZOxzC5jJJynEyCVcgEML8ocV1hLg6oaYdbfFrIdElIloYhUwbL360M1FPNR3w184f0okLmbvjGZSwG0Vi9W6xHef0CflcLhJ/thvYOQgdvTC+VOczWHFOuiJQcWWpJrRLrkFzORjMoa4rLtZ12hWdvWwwjpCqEHoGpM56zGceRfSZ8I0yXq+5sQqwB/jL4Var/ptUL+1X8fFZjdV8kwW5cDmt8HNTpmbckwTts1U1Bja61ZwvVPHX1oZxkqfha2VNIwaE7oksGjLbZfcAmby2Vw5wRlNJYvNlROndTfLGj3rBikT/ARGRDTWLtgYwHWR5EWV2yUWydbqCV7abQxqrgK+0H7WIrZz6/Zc6HeKLgS+uV9Hz/Fa6obOUzZhNJsrJ7EY1jokzgiJw/51BnvaUw0G2KKWL9FmKn4xq+QGLX/7R8A/C8QSbndq2NybGyQJLgiJ+1KQMapRZdNOjnALzlkimtaj/u2y7mZZo8vcen3csMI6IkyD0HWRTNvHm2FsMPXJvgqzZckkkKMdkWwQxE9MG8Dg+N9onuLcOeArbS/U2eh6pw5dT/vNlRNtEhdb1PInqCxud2q4tNNAUojIfjcs43QKZ3Aj80BFQgg/DCCtssmb49lh6/ZcbLPThfs6nWWNZoMUDYcEjAjTIHSNyUzTx5thXNhonmJz5QSP1CU+6PoC22Zc5W2JvJ+Dy+3ZFYRiXE1xqhxuMh42mqfWSVVJbtVgTHP7qUO89yR32mPsoNbpPWKdBiQOe7DqrAfYrdGcVEzDCuuIMA3CNLUMv7Z2rI0HnKVYVqY40sZR6WLAspLV5Rasw+qXrTH/1rXbFpMPtnGtbGliioJap9WI+9raMZrVYOy0H6MflY1Z1mhOKqZhhXVEJA1C10XStY83w7iQZMGkEgg3mqf4ekioq/90JH3uk6Xb23anhi9/D1atZNmCMV6iG3eqUUDwPXE29exSxLvfXDnRjjuJoQfGr1Rh1w46zRrNXh4ant0jwhQXmBZOEGHyIprAZLJC6uJHX9pt4OVbEh97/u+3Vodj2y/4TmHeXFGWhQvnT/Hmfj2UqKP7rq4Oq2olm/RbZvRE41qj8cRnK8N2vrZxzMz0UdS732ie4tKO/jOlZLp4d9Ku0Rw3rYctrAUQdUFud2qFNAZg1wGTBzr3v8kKqbO+3pe+a0wXPkDHJuo7X1X7VlfKsrDdqeF6J6ysCvgdqqLfpRYXXStZID5vmfGhszR947MYvONZL+83yxT57il5pZRMlxhTXqPzhSVyzvitIIF7/daWyvoUbAe41xW4vNPApR1/cqRVXouw2jKzh074m6yQl3caicc8kgIv7DTwnbvdvoXT3IJVIQD8MKG9LnW9N+7UYlUMKAuHahSgYGtdOYlamvxWkP7/TptNrYwHe12BKoAesslhZvQUmUmfVCnEpZIIr9H5whbWnNG5IHV1AWWgIHaWzH5OEGGy4mKF3GieWoec9CDwxn490EQgGZtjuyxWmysnse5IVOgAW+uKoag40zTZ1EFvAiD6pda4OPuk4RLDbhp7us+TYkjTJEnzGp0PPDtzJs0OL7gw8k6MGTW2VkiFzsJAYz8fbF1lLnFhujqsunnFtQ+LoQjLddBC6hqLrNuYKKatOHsRYWhlwcbKmTT2kj7XPavoM722rg9ZmtbnPm7YwpozaROe1GQpczs2zsidTmzirILvfuv2HC42uwMLQ7PqoZ6iReYQt0xY17iwaB1W3Tm49mEx2FqubWXLW7cRspCq0BXbMZS0AZmUDYqN5bDs60kWbKycSWPP1ati80xN3+H1MzussOZM2mDqKlBql+S0C8BZJkn469799U4dmysn+NHTd/Hek4d4dV1fczCJeSHx+vqxk6usiLIvnBxRDDaWaxfZsvn9uJyUEANvQNIYSNqATMIGxeZ5zUKIS5KrPWnsuXpVbJ4p9Z3NvTm8FHlnLxnWT1Zu9bDCmjMbzVMsVvWfqeznaJ23eSHJHutl2fHPggCcZUzC3+bdbzRP8dr6saOlVaKRsslA3nFhXPswPabF1cZy7SJbdo/117DXFVYLvKk5waRsUGyeF4e4JI+9par+c+rvNs+U+k6nJ3BfU1llc2/4ztQ8eujmIi7vsHFIByusObPdqeFEo32eERKvrR/jw6fv4tp6fGFMKqUxblgAzhZBJYSqyboXsZL5fbhd8EthXd5p4MouvfGxtTZktUpwcoQ7SdY+G8u1i2xZIwpUCMBqgQ9uTGxKqJURm+fFIS7JY08Sj4L6u42C6/p8Oz3/nUWTASXYOKSDVfacefmWftFeEDKUZagTjLalMopGFzTOTQpmB13Bdh0Cwx7ayd+ny1pJCLy5X8fnFnvaBAabpB3T937uQeNtMBkwWfuGcs5c1sdFtmx9BvjZ35Ohc0YTr6LXEGXSi7LbPC+X0kvTStLY+9jTy6Po39V6qJTLKEEFl3ruRwnLpCkZUMHGIbaw5sp2p4YDy0kQJY1Lsog4F8picuH8Kcf4zQg2whMYtiu0+f5CBQOrlulYNteiszaMK2Rl1mPNbKx9SZZrkyUs+nwBxOQkpQtM6wJvY7XmEBcfNfaurfuxJJd3GoN5amOFvrI7N3DPUxvu4NpOPfelCmGd7f+d8mIFkcBMypggs3vnBeAvjvqBZ2OJdNn5F1XonFr4b9yp4WtrXAB5FnBZ6G2/e98DNh89GZQjsjnWdqdm/V3qOva6Ao99G/jKw7Xcxyo3G8inPTRlCQMQe75f/h7wy48iVG7tmXcXZsr7Y1uMftItyXlBzdOLzS6ud+oxa/2F88Nk02j7Zx0VAA/fXAy9B91zf3GnEarHXofEK4/641w1sDAjZlLGBBGSCtgAHgPwg/39u/C86Zz4efPwzUVicPuZ0HkOMF9Ixw3kq3VPWzvTFuoeBCR+lNCBaNrwu+p8Mu7LGDnU2NLhW01h9f3VuofNlRNc2mlAt7ELjt2ksIToOE+65nkhM1uYoqEyhz3gwMt/Dk4SuveUx7MG7GVckdfAFEMestW23qlpHF04fxpTStXY8TfXSXItHOpkGnfU9W53aqRMpCiLjMl7jaxUBJaXFwHg0wDej32e25kYckffrMpEwenqWiwqCYqD9acTl/GlczmeETJWAUC5IU2Z10HU2NQJnTMRl+bLt+gwA10oStI1ZA0P0IXKUOE/0+qK1pGn6zk6Rm2t6+z+nj1cSqGZ1sobd2pk/LN5HquEPXMYUrR+tSoFqEJj1H24KKume5p2WGHNESq2aGvVHOeZpsZpUYol16OcPlzHl04B+PraMV7VVLdQ7i8/TouOUQX8sbl1ew6eRjgHkxJNseCAxMWmn9ZIxTZS15BFyOvjdNOH/0wTeVRX0I1R6m1RHc2mtcJDmeOkx3VtpnqnUUxrpUmZpX4n+h5TT/vpUM6krZdrw6zJGAUrrDmiFu71Bpx2+mkSRvw4m+igHcbfpIWtFdNHmvGlUwBMSsFG8xQLVYBS4tSmh1ogDjyBT91cxEM3FxPcYwJ/90C/EAB+bCOV4JBFyNPKLm/u8kA3RoddrIacraRvzjKJlLlhy6ivzabUXqcnYuc3GWFMyqzudwISzy13sdE8JX9bwdD9nyR3bZKtosyyjGGFNSXUznKjeYr3vwCnnb4pYYTatd64U0N8URf9v2djmq0Vs8ioauialDq16TEpjT0IYPAfzYEnyIVgu1PDocZiUUc2IW8K9+HNXXaosSOB0PP9xmcxU8+3zA1bRnltUeXYtKF9+Vb4/CYjjEmZ1f3u2voxrq75coQKQ+pBtVk3y93tTs0g6fTyptqXpQBKa3Uvktm4y5zJOzuYyrQNZgV+524XN+7UBq4K2/guhqHGywMViWfeXcit6gN1ntX60N2vq1Pok33cftD1F8toRxkAOGcRR26Cqq+4tcqVMvLANHaCySV+kscor2y8lLlhyyivzcV1fuD5VtaoB4iqyWuquKB+pyyml3ca2Lo93PzOVySOeoAulrUKfQdLtfnduj1HJjhT23oVhjCr1UnYwuqAsqpe2okvuMGd5Vu33XY/Ngkjb+7XreK7uFYbE0U3vuqQOJQiV3eeS33IqlML1yFRF3EQU0zaAVH02xYOlSkWjp3X45KrMOp40lEm6LopwfZWXptKA7rQhxd3Gnhpt4FOj67P2gOMY9rsVaCfbZmt7kXDCqsl0dZpOj7o+ju7L38vuU1gNHvwYrObWFg9+m/94l2uOCdm/OiUrXNVGbNEZhV6tkrdRvOUTFjQ47fPHHY0is8/m5i0rHCoTHHwhkCPrSI/jljXUW4y6PmbPsHS9pnpFMQuhNaTE2S1Lo1j2iST7nkgq7KU2epeNFyH1RKb2pSmmpRJNSbdar8pJJpV2W8ZZ65rybgzzXVYx11v17bWa/K8kFiN1DSMzq2zFeCXHz2aeeVnGpjmOUlhYwUsqi53Htemw/U92raLVtjcN/XMmlUPZyuIhN+5KYM2dYCT7umMkFgQEh974Wc7rnetY9R1WNkEZ0nS7kXtfi7vNLSf73XFoBvGPQ+kSV8f40f1YRc4MpiqZmHHxaQjjw5FWaDH+ZCgIkrNK4Fw1yNdTNpXWxV8sc7KKjOZ2HSsGpfVbVTdtILzOkmBtLXymioNdHrD+FBTTGmc8AbaRNI93ZcCD9Uk2k+FDQhUPP0shM9wSIAlJpdE0NRPf08M3A4dIp7ug67QusYWDG/JD+62u+Yy1/NjRsu4YwZ14/z19WN8+PTdwX9Bt7uLqz/qun92pdBbYZixY5of0yL31bw2ZdartRgw55GYM/Tj4Xem+tKKeeHXZ3UJF0q6J92GY5bDZ1hhtYRa4KMDdHPlBGcSN7XmguPRBfdeQsBfUnA3UO56fszoKVro2SySLjGh41awGabMUPPjwvnTqZP7lHIerChhU7CfaqOux7yoq3JTaeWna+z9rMbTs8JqicsCT4cFh74V+pdp8U1y0yYFdwPlrufHjIeihF4Rm6NZtiowTBLU/LhxpzZ1cj9p82qz1uUdKuEBgxj6NNZs3pDbwUlXOWObTDLET5wK1nOMBrJfOH+Ktzp1bVZiHRKvrh+Tv1WxNONOsplEZjHBIw9ckgLSJm24wO9xeuB36UZZ5X7W92iSGzb37LZOUzkkQ1brHhlbaruxdpWFaWVnnjKXk64mHPedm8C/DFQX1jUluN6pow6J+5pJEyyIbmpoMO4kG2Z2sE0AybsBB8MwYaZV7puSvWzumW5gEqYKiUYFODSE5SlLKGXZffnWnJU8c0lgSys7J13mckhAzlCCoNqvJamjB4HLOw08dHMRLxBNCXTtJoFw72STK4RdDsyosI3H4jAVhikWG7k/LUlZCpcGJiqEglqbPcCQQxIOTSKblniCfKZpn31a2TnpMpcV1pzZXDnB2chTnRcSr60fk90rAJWJKPr91HXQf1fxgSbLFscAMqPCdnM0ywWwmclnEhS9JLk/jcm4adY6SuI8UpdYqurXbQGE3OmmCkE6hTDLs08rOydd5rLCmjMbzVN847PQTpakFqxpUTukJMvWrGYWMqPFdsEYZWtHhskTF2Vj3IqtSe5TFrdLO43SKuFA8jNNWuui708X81qHnz/yCVGGUkYUUX9Dbt95K4u1M63snHSZywprhDyEy7MriE0WFeh8JAGbmm6ufNAViZYt6t7GLVCZ6SDabnhz5cS4OeIwFabMmOSirbJRdgsmbVkr37Uq8nimuvcX5VxV4sadGrqGhKu97tDdv9E8RZOwxuoUwizWzrSyc9JlLiusAYoSLsHjYtALPUlpdVNqH6lLo2WLurcru3OlFqjMZJBm7nCYClNWksazrbJRRMxgngaGJMtaGeMbTc/U9tnYKIUHPWHxPREaF1ur9gphFmtnWtk56TKXy1oFyKtHb7TUg2upq3khcbHZxbf268bdXfD7SYOOuoYqpDZudhx9icsGl9Cxp0z9raPwe5we0vSgT1PCJ2k82473vMtK6frPm+R/0v0n9bPPcq0mssxJ6pkCEvMCVs/GZk1erXvodIF7Vna9YUtWAINnvlSVkBL42Is/f9d3WUZGXdaKLawB0pjobXZ0LgHNqmPG1bUTvLp+jKWKB/SzGM/AQ2WQ0ej/Z7tDoq6hp/0r3WeZYXRMejB/3nCYzfgpMqnF1rWad8ygi8XW5v6DFjfKq1e2+Ea6Eg+sn01SPol6l8cWBiOf4fMF/JDAa+vHOPIEDjz98590a+c4YIU1gKtwoQTCW7ftfh9FVRNQA3ajeYr2U4f48Om7eH39GFUh4A1CCgQEgAvn7Wq3uQqdqtO3mVln0oP586TscYuzQpFJLbbKRt4xgy4bQ9v7VwlKr68fT0R8I/VMKeOL7tlE399SxUOzGn+XCV3RYxxJgRd2GoGcFfPz50RoN1hhDeAqXKgBufn9+HGFMSbVnzCm3ZXuXBICb+7XExfC7U6tX0sufm8U1ORnGB2THsyfFp0lddJrHU4LRSe12CgbeVvRXDaGrvc/KRY/6jqpspHUMwu+v/ZTh3jvyXiidBpUXXXKSzmrXqc84C1/AH9iHlvHPFEDcvc4ftzv3O3izf06EXsjsNDvWHVldw7f3K+jB9/K+VMLPfz+/Qp5LlVag7pGfYySP4HnKxLz8JsPRDHVjGWYKK5zZxqgusYcEVOHF6rRkqXLU57j2aWDURJU+89oI4Ct23OkicR0/3lea5FQ15n0bGxRczupJSuFfp33qfSPPwnPuWywwhrBdsJud2pkrv9aI/63q2sn+NxiD5d29JNgrytwZXcOb+zXB5/3AHz7sKr9fhDTQqgv3+H/u9MTqEPijJC4n8MkZ2YHKpljGoSwbaIOZUn1ExnjzGJ4xDixUe5M5D2e8+jhnqRIJyVRTbNsz7LJiL6be148HjYvevDDBjb3JA56s7G5zwtWWFPi72D12Z9bn6FdLlu39bt+AeDXA8pq+BMzS1VJCsMkq04XAkvCw0M1OTOWMSYbk96P2oTLvZkSGeeFzMXSw6SnTFb/POeMSZGm64sOs9jzvv80ivhbt4GvtBdyfy9pNhm6d1NErfQgPYiBZ3Oa5GfRcFmrlJhKa8gvCrLUw3anhss7DfK3aVwQVUhUgFAJLFUeY+v2XGL5jiLKlkwDXA5Jz6hKWOkWQgDOi6PLe3S5N9N3N1dOSqEoTRuTOifzmDM2iqGpjNa19WNs7s0NFKWlisQrj2Ybl2lKM213avjFW/P9vAq73xSJa9nJoqginHQ9CXBZqwmBcu/pYj+jHYDyVv97ELF6rSrJw6YdrO5egtfcensBj78z+SV6uNRQPoyihJUu0/6l3QZe3Ck2+97l3kyJOZz9ywTJOmdsK09Q65IAcGmngU5v2LzmwKvgxZ1s8ydNguHW7bmQsmrzmzyg5D/9DsLPsg45qCRQJVdxVXLSnV6kCUHSdc8irLCmxLYN6kM3F/sZg0NBQ02PBZF+sOv4oCtidfai1Qp0rsqocDzwKuj0JrtED5cayo9RlLDSLYT3Jb0xywuXe5uUrGpm/GSdM5Ri+MJOI6TI6A0UMlAOMUwX2eZPGkV8HDWbTfKfegdLFRma26+uHw8qCbxGlAB7ff2YbM9qQ1Se8boVhhXWlJgWq7duI9SKNeqikRBaxfGX1k5wNkeF9YGKxDPvLuDyjp8F9vr6Ma6t061b1S7uhR1z55M8lYRR7R651FB+jKKElcviledC53pvbEllbLAdV0F5+Pg7C2i97f9vqkpMr7++BIvWB9elqkWYWZbGOGkU8XHUbDbJf+rdvPLoiXZuD0vXof98w2uprj2rC8H3wetWmNlU0w24BJBTAd6b30/OMJQAliqetmVbUqs8OyQOpcBBNxzY/bW141jMVDQOyaYGax5KwiiTd7gTU36MIpmFKklEfTcvypSow0wPNuMqKg915QZNKEUmqFw9fHMx8XdJjXFM8jlNJYbNlRNtDGuWDW/Sum2S/y5zXrdWBsOAgOG7fmGnoW17nkTwfXAt1zCssAbIS4HaOU7+DiBwLIFrkSDr6OSpANpBX4WEB5CfV4BQqSpgKNCi90JnltLkoSSYdo95KwhZajIycYouYaVbCM8Ivy93NLkw7+z7aSnPxZSLpHGVRg5HiSoySRu/Otwb4wTlc5oN3kbzFOfOAV9pe7lsCm3W7ST5bzPntzs1rRKqW7PUc9HXQKffRzSskKpXMKvrFocEBMjL/G7b1jR47Ghi1ubKiTFW5rX1Y+PnVEs53c7MdbeWl5IwSqvnrHZimlR0ITdfXzvGq0RIC8NMOnnIvagiQ8W0qu6KrxJZ6dudmrV1L01YzLMryC2Uxmbdzir/lVJMWUxt2r+u1j0sVehkrag8M5XO3Fw5mclkrOm/QwfSKlBRd4RLW9MPusK4QwSAhpCD7jnNqsTWatz9EN3h+uWs7CyK1O5TWXEfqEgIgdyLHFPnrcB3ZeV5Xnb1Th6U1YPfGTONuITB6BAaa2kaubfdqeFFosGNus4yYbNuZ5X/Sdbv4DMxhSeYyoCp81zeaRjHgjrTtNbCNsEKa4A0bmOdsulSdviRuiR3iD+/00AVYRfoUcR0apoctrFFVBxS0dYr3XkBOdjFHnjDv+cxIdnVyzBMWdHLQ1skPr/QiyUGpVHOXr41F6vGoSijV8p23c4i/01Gq6gb36RIUoozEFdABaRWj1g16AxFhNOVCQ4JCJDGbaAbODLwf02oY1OTwTPUVwXMJS9cSu6MqzxP9LxJGa2znB3JMMx0E5WHC8IvRWiHwO/cq2K7U9OuC5d3Griyayc7g4aCMOMr7m9iFOFelNGqEnkmlCK5uWd+9no9Ql9NaHPlZGaTsdjCGiCN28A0QPwdUjhpZEHIWGUAql1r0jmTdlkuO8pxWR+D57XJaJ32CcmMhjz6ujNM3kTlMJXoo0PVZfVD0uLKz5v7dXxusZdpnJdxjowi3Gtz5QQv7TZiiczRfBVqfer0xCDGVGeBPSL2JRJ+N7SoNXZWk7FYYY3gqrhR7ojVQCxp0iRydQWpQTltpZpsYrimfUIyxTPKcmrU+VlZnmxG9Q43mqe4vGP/fZNiK2HnMm5WpbakVpaC+EWTxeBi8y43mqd4+ZaMKazdyDOl17Chd1BnZKpCn/uyWpfaltCmZKxphkMCMqJzR5ytwLk943zFtsuVxIXzw8mhY1KVuqQ2smWMn2Imj3EW4+bONZPPqN9hnvLcxpixtXqCMxE5fEb4yb7Thsu7/JgIlQgqqP76pH9fH3QF+fxVPdcg1HpHHUOinBbwPGGFNSO6+M9vfNZ+4KgJM+zxnITAjTv+ZJq2Uk3RZ7lU8Qa9m13iamex3Adjzzg9E9y5ZvIZ9TtM2si7YKP8bjRP8XVNSblJVYZM64HpXUZ/9wBRkkr0zwH4z44qXfVIXZLPf7UurfNITMeYdoSU5E0+BuAH+/t34XnT/yDy5MEHz+Gjjz6x+u4z7y70W7hGMSUgSXz49F0A9q6ppO9lcXHl5R7L4zi6siEq23LV8Zgu75EpL9H3SM251boXc7/lzcM3F0l33o/6c5qhKcOcpN4h+n+1lV0u8m67U8PP7zTgpeicpBhF5RdbRvUeTWWkNpqnxnc5L8Lu+zNC4r4EdOtyUHYkla7KWpEn6Z5GSd7vsVIRWF5eBIBPA3g/9nluZ2KcMRVn9qE3Cp+6uYiHIk0G1ISJ7iaT3B42bhFql5qXeyyv41DZlmD3K9NnnJ6JaQvjmUXodyWsZZervNtonqJhXTEgTrWkGf5FohLWTNZw6l1WEY81jcavBonWfKWspXlU5BlXVZ8ywBbWAgjuOqhdtG6XFGS17vWV2eQdddLurSEkDjzaopRkcTLt6PwGBdmtVXlZvegds/sxy2DNYbKje49Jxb2zWPq3OzVs7s0NEleWKhKvPErP+zJZvspOGeZkkuxWLFU8tJ/SyxkbmRscgxfOn+KN/TrswsbCnBGydC79ot9j0jtSHg1qPh4RllTK8zkK70wZGbWFlU1NBWLKRjZ1zlDWHqpbVZTgjlG3m6RKZux1RV9wmmP6THE+VNzfXlfg4ZuL1gt+Ulzhld05fHO/jh783e+Xlru4uha3iNlUGpjUKgpJcPa5PVRWcdYKAtudWqz8zYEn+p2D1DG449qkE+w+6BOXKQeeGNTEjmKSd7ox+KaTsjq8sGhnxLRMmmyx7Uzl2imyWZU48hBTcCc1b2TS4JCAjKQN6KaVqqG1xSXY3pSBSCGA/i5f/7ulanL5LBv32KWdBh5/x5z8ZHKVXtmdwxv79X7JFoEeBN7Yr2sLYds8s2l0v3L2eT5kTajZuj2ndR2q8jdAuPe6Whw5QXAyUPPM91j58shUifvSTgOttxfw+DvhNcIk7+iwJhskXl8/xodP38WHT9/Fe0+aq9PYMImyxbYzFTCcj9fWfS/l5Z0GDnuIVUqY71dKyMsdz8nB7rDCmgI10B66uYjLO/GJ/NZt/3smRS9acFhRxbDCQDBWJank1VKVzkBsVmVMiYs2NdChokVMwtVOqRbo9MxCzhRX+E2tdcFXWqPHiz4zqlPItMHZ5/mQtYKA6XvRzyZREZh1aGWS3rgfeBV0euF3fOH8qbZ0lKnzoQ1F+I6yyJZxKWV0bKo+/CY6Fw+8CqSEtkqNS7nKonM/Zg1WWB0JDjRlRQxyJAU2v+//b5OipysSDPj12IIDHIBVbIyUtNKn2xXa2BhV3TmTMhkNADcp1iYhZwokp54VILSTXAmUD5++i2vrsxGcPm1NJPLGduHMmhRl+l70M95kTB55zKcjKfAbH9cQTR/pSuDnd0ypVcljUELg5VvD1t15KIuUNzAp9GqcStmF86daY8Vr63r5r5uLXQicrcBKMdVhun+e++lghdWRpNgYANj1PQtGRY+qmabc9NEBnlRj7WNPJGYnBneFNjXbgnE+0eNebHYHrsxgpYKk45oEPuUqNZE0yV12w0VTpLWBs89p3roN64UzawWBzZV40XUAqGu60PAmY/Jw8WKZ6PQEupr2qR70ibYuxz7wBK7szuWmLJq8gSbGpZRtd2q43qmHjEkCEhebXVL+FzEX0+R+8Nw3wwqrIzYDaq3h/3+TAqlbGHVuejXATR00gLByaaOgZekqddgD3urUtcIw6bg2ClR0Z0p3TvZxmeTjclEVbW2YtiYSebL5fX0yom7hzFoyRhVdb1ZVGI/fAONVjWWHNxmTR5IXy65boQvDMWhfGF7g1/fruSmLJm+giXEoZVQpKxlouKOjiLmYJveD574ZVlgtCCo5SQ9sXkhsfWb4b0qB1C2M1FD9oCuMHTTS9BCOnr9Z9bBU0S/SuvieaGKJEobquEuVeNytrQKlt2LTSqvtJB+ni6poa8Ms1+ZLQnk8olALSlar/EbzFO89eThIfGk/pT8GbzImjyQvVpLVEfDl9VkHxVaNwSSjRRCP+Luq3uKyWacU5SQFetRKmZLvPSKSV1XFKcKzosM194PnfjKssCYQVXJ6GsVJxW4q4fXsit2xbd30auC/8qjeKvv5hV6qTOPg+d978hDtp/SLtE0YBDAsybJ1ew4fewJLFWnVWjVq9TTFRlUzJFGNM25oFNaGIsIfpiGTVXk8oozbmsGbjMnENM++tNxFXKkMx/ZLCJwKs9dIEVSATUYLe+ybGyjSKlejVsqS1yn6vpPmYho56JL7wXPfjslbfUYMZe2rQsKDfRs+G/TFof2i0YC+ZtyF86e43hm6f6i6kVnq6NkqVUtVGaofeOAJzAuJa+vhiZ90/aqVahyBXt/F+rGX332MIm6Iqg87bqXJRNaapGVh6zPAz/6ezLV2Yl51Kal6sMxkompDB2tGNyrAoRfvmlTpryE0sq8AD3nl0RNc2mnAph6A30qU/l7QK2Yibe3gvGoO2841WzlO3XfetZmT7p/nvjvc6SqBNL2/03Z/SNPtyeY3WbvrUOcIYtNRS999RN85hP57+q4ij7+zgE7P/vnm2cUj6zsYR+HuvLqPjZsHHzyHX2sf5fb8iu5WNWlF2kdJGTpdueLSr15ZXU3NUSg5FiW88dfLUtM6ViS271E319R9rUbmhs06FTyGuu+k+TYtcrAIRt3pikMCEhhlHI6rBfDKLt2AIPibrK5wnWujjri7/2PPfC10bKobwXuzddVsd2r4pKdfNJQFu0iyuICu7M5p6/0W7Z6fpkzWPMMligwt4fqM04FN3sNqXcZkgir6/8On72qVVQDYWj2JlWzSMUxYTe74VBai8nxzj6p7G58bVCKzDnXfNvNtmuTgpMMKawKjjMNxUY5V9ydKGAV/k3XC6ZStV9eP8d6TYQXgASK+Sv3dZYIvVeJF/xUuwkaxdXsuVkbGR+B6J96AoAjSKE3bnRre3K/HLDSjiL3lTFY9eS9gwUVal+HM9RknC5u8h2Aso6tM2Gie4vMLvdgxXSlbko9Onne0RoYhwbmhW6eeW+6S6zdVUeBI+h3KbLqS6e5h0mP+yww/zQSK7v0ddEcsVSXqkCHFihIq+u5P+t/kET9pE28jCNmi/k5dR5R5IfHKoyf4zt1qTFkL3htl6XphJx5fZFImbGO5RkVwTFRAt2Useoe/uXKidX2XaZEbB3nGI0ddnlSpILbmlBOdO3kUeQ+/f59uqW0D1fFpnKT1wAXnhm6d+txiL/aOABgrCvgWXIGXdhuoSZU0Z5aD0xLzX2ZYYbWgqODo6ADv9ATOCIklkZxURNfAiwuiUSkeB8RuWP1ddx1RgoJ0o3mqFTbq3qhFvIe4oEhSlm0U6SJISkIz1To8W/Hjq4qKdSx6szapuMwn3fu9cac2+Pc9L14jVsesW7XLCKWgHBGvygNSxYvqlGJ6AyNRBQyKWL7x1nliuieT4irhy0FKNunW72feXbCad/elwP1IEnSz6tfdjR7TFCpUtmc9qXBIwBjRDfD7UmChClxb94tHXg64JoKYuo/osh9d4yfTuDaSXCfB6/Dthsmt80wuM9Miriyt6vovnD81NjSwqZ/ogs3z07nA3tQU/KY49MJd0V7cGYZD5OWaKlOnsLJgO5907/eN/bqTyxNgq3ZZoRQUSpZkscBHw56o8KvVui9D9bGc2csnjaNb31JFkmuGjzkcTHfN6T0WAlLG11iAY11HAVtYxwg1kIc7ddq18KXlrrYEVrQMisLFSpzWtWFjeQpeR9Zs6CSLrbIy7HX9ONWfPNvDtw+r0O3Wk7q2uGD7/HQLHuX+1xP+bjfQR5xdU8Wim0/R8XzY01lP7VyeRZTNY/KF9vD4ci8PjxalFM9XJHmOojwjRbu8qfXjlUf9a9/u1PDyrTkcDGqBJVszqWt+oCJxQCQJJ0H9bhJLF04abGEdI9RAriK5leTVtRM8v9ztF9KXqELieaIMiiuUkLxEWHsVrpZcF+vdld05fOrmIh66uYhP3VzEld1hV61oMwEdR1LgtwllFf2/5mUtsM0id9t52wm9A0+Q59/c48SdIHlai3SWMPsFUe9pYKt2uaGsnALAxWY3dVF4NS4furlIhiod9AQuNsPy/2KzG6rxmbdnZFzd+gC/lNelnUa/bCJd+SAqU6lrFgLayjdnDF64JLh7VfGwhXVMbHdqOOwBumBuKgYqOhmvrp3koqAmnWeISGxMsNf1XWK6W9ju1LC5Nzdwgy5VhrtnE9GKCD2g/29VqPs4MTYWMFsvJfKLNbJ1DVE7cr/OYHhMzFeklfvYdP5Oz+9EVlTh7klCZ3l5abeBl2/JVE0pspVsE4H/FVY8mPJCJZnKfuWRNK53fa1q3TkQSkjt9f8NoJA1ARhdtz6ThTSJqBGIuraDnsC19ePQmtUFsCQkFisSBz0BAcDTzOFmVb9Ac8x/8bCFdQyoSTjcLQLo1zX1d5jjLSeUdJ7orjpoXcKgjEs4rmi7U8NLu41+wWv/8wNvGHcZtHY9/s4CWm8PLV+/rq2IIPqVEnxBEbQ2pC33kpfgtS2DQu3In1uOW2e2VuPf1dGsSsP7c7eGTGtdUCp+/MCL36eNJdacMGL6d/RTgRt3JvvZzgpUkingbnlUY+ySpsySHhHbgEsIvLFfR+vt+BjNw5uQpsxd1vPatgUH9NZM0zVvNE/7MhiDNevAq+DI85XZX10/jllczwg/4YqCY/6LhSXjGKCsMWcrcjDAx1lOyCabP6kxgSIouHVtAlXc5bEUoWoJCt8CqRc6Ku50u1PD9U7dmBlrQ14bAtssctOO/Cr870bLnjWkbwF8oCJxxxOhew4KU6p9o6tSPq2ZrzbPQYVR3PXEYOwqS2zQw7DdqaECfRx0sypxtiLxQdd/Z/chcBjqHJj9HTHjIanyiO17dLUimhE48MJesLSxp0kVTADzumQ67889aHc3Sc8w2N62odnQJ8lik3zzu1ilt5hOo2dq3LCFdQwkuVaydEXKg2g2v46gcpdUEuqDrjAKngNPJAhr+jMlFOyEPa2Q5rkhcHl/ph151LrZ6VVwLP3df/upQ7y2Hj7H1wPlwJaI+DpXpXxaM19tn0OnJ2IbrfuBeGD1jvSbJQkp/UXz2voxjqXo95T3/6OeYNK1cXHycuDLC/pd2Y4xFyuiLUFDQZrYU51n5Xqn7hSbm0fMq/kZKmV1aB0Nen+GawMG3reliof5ihxU30nqFJnWYjqtnqlxI6QkB8RjAH6wv38XnpeP5WlWSOqvO0m9iW36pn/q5qLRuukrvrDu8+zCMObXTuCr7Oulqq9MmOIVx9W3PBgPrLuvZtXD2QqMO/e8+t1P0lil0L1He6sWVQPSd8j6llXzMeaFREWgr6yG0cUrm96RCq0JK9G+fI72Vp9GxjUnKR5/Z6Ef5hRGQOLaut1ce/jmomN1EDsEJH709F3y+OpzHXnMe9N5vS8Kq/eon6fmuqyrdU9rWa1DQoiwpy86/4LHyCLfpkFu2pD3fKxUBJaXFwHg0wDej32e25kYayYpm1BnLbzY7GLr9tzAwmMqCaXua3PlJFMGJoWp7qEOVbz7vScP0X4qeec8amtWNB5YR6cnjDt3nWUhrZX+wvlT6OIw/b9PLtFx3ax6qGuy9WlEoO2mmSMpcOjpP5OAkydlc29OE1oTjxkPwhbZ4tDFlgv4cei2c422IspQFQDX2Hx13DSxp3l4VvJq7ey7+v3/KgnKKuBfo86620XcWyIhNLVd/ZJ0WebJtHqmxg0rrGNg3C5/V4Jukc2VE1zvhIufm3LvVVzRRvMUX187RrNKhxmkRdU9tMFFWL51G7m5dWyVBjv3IO1m0yXAnRHAYY9uQmHCTwCKK0jTkBgUHNfvPXmIV9fjc5IKrXBH/06r8Dewti5Hl97qALsmi0Yny6+tHztl6lMGjNfXj/HDp+/iw6fv4rX1Y1LOCo0yGzSApDGQ5KFsZjXMxJOTBYh9X+waXToXSiCyLg3DC67szqXa7OWlrDNhWGEdE5OaTbi5py92T3UgCcYVbTRP8d6Th2QVhDRWBMB3hSbF3AK+S8jFir35/eR6uDa4KA3JO3D9/anfuWS/2zBLlgI1J4Nd5oRA36pTDKqNcJ4KZFJCZJ61Mxk3Wa7buNoYMLZuz5FhA3UBPK+pLBKsyepqIMnDCxg9bzB+9LFvJ1sw05SKmxe+98dVOv3LXjz86kgKvBnpTGc7VyfJizpJsMLKkESF65XdOdLCo1ybOoUqukBSk9lPInJTDgSGcXvffeLQKKjOVBAKZUgSPLvH+r9HlbUk66mL0pC8A9ff4QMVaUwisDm3jlmxFASLtV/eCSe61QSwVPEXXVp5Tf88XN6HjcU3+G5macNRdkwb1ySl1/S+7kvf47G5coJH6nLgEg/KIVcDSV7tvIObwGPpzycJgZ1jJCp/9qXihn+/2Ozixp0aodxTBhE6tCd6HNu5Omle1EmBFVZGC9Xn3r4Yepig8DFNZn93bL/4S4T7OpsUqUMPTrvltYb+78Fz2FhPXZQGnTKfRAUSh1IY415N5zYp3LNgKYiGUUQXqftSYKHqxz7/WG4hAmGSFEj1jvzuWfbVLmZlwzEJZLF2J72vva7fiTDP0A9Xy7FJDibdu04GmepJU3/3w9XSVZyxxXazN6le1DLDCiujxb3PvTmeNSp8dJNZ1VMNn8ccJiCAmIJFfz8uMF++RccobX0mHhsbVQhsFiEXpcGmpJgOXY1bE+rcSQvNLFgKbOKG1SL1ccr+40kkFV8PJ+IppdV3szar9LuZhQ3HpJDF2p28kdW7tEcV+pEkByklcq8rSBl04fyp8+bdNQnXDG/2ykZiWavRXQpTJiq/md7JGbUBna0A3/gs8OxK/Ltv3fZjRXePQRZfX/YbWmG/qz/fegN4/wvD433pXVgF5+uIXmvw+tYavhIbvA/qOQkA3heHx/jy94B7Xvjzn1sFrn2Wvhbd71xZrgN3un7bQUXwHh/7NrCjCX0IPtNpRb1b3f1HUc+Del5Z+dYT+vkB0OcUAP6W4XeKpDHMjIasc+2t28BL7wH7DnvFoBwqkiQ5WPtNvWyvAlht0M9l6zPDseuyHp2thOXm2QpQEcBdU0kby+NSaxmTK9qyVlyHtQDKViswDVQdOapuXRiJ1X4slanDh20tTFUv8KGbi9C5dIL1BKm6iEm1+4KoWnk279G23t6V3blQ72/Ari5qUk1WwE9W08VgqWswdVxJU6Nx0shWhzX8nvLtSuST9KxNdTqnra5jEpMsW/OojbzdqeHFnQa6jrKsaJLkICW7ld/ORgZR54jSrHrYWj2JybyXb831Kw5Q0DWXFQtC4pfWprvWsQtch5UpBTZ97qsJe95r68fG2B3bDi/KBUMlZKnP//w/n08s+2ODS0KKrctVlwhg47JToROvrx/H6oT6SMxBxmrcBq/BFEtFubceKChWsyy8fMtu7FUhyYzrfMqz+XPKhOldcPLU5JBHeM3W7TlrZXXU7bxNcpCS3at1aR0ypQ+LiP/2k/4aEE1CO0gdziMG/x3KCl7c4bJw44KfOqPFts+93tokQn2jAWiPY7PYKqG33anhsAdEd8Hq8yu7c/j2YRV5BNW7xCiZnlOQrNna6jy+lUD9xhei9yBQl37x+4OeW9/qzZUTrcXmUIpBlu+0sd2pWS9eHoZJfVFLdXr831YBfGm5G6rZqbOGC8OlcjzdZKFaJ6fFTl5ILFUkXnl0dJbAJDmo6zwVVGhNn5nOcXDqy6ogXfgJaEHL7V5X9L2DNFXowxaidOErwNMoG8sOhwQUwCS7rVxJdlnHXT7KDeb/Lm7kV+1TldAD4gJNLfoLFeCXHj3GCztUP/fhd2l3j95Fl+d7zLNVX95t/6gwiuh7CApoU5hB2Yi+R1vXIhAOq3BtEUmxVPHwyqNxlyWgX7jp1sN+cfmyPvcimCXZqqP19oLWrV3pK2NlnotBmbHWEPjKw0fkZtD2Hlzb2lIhbfPCL4l1vVO38rxMU8hUFkYdEsAWViYTSqhc2iFqQGmKVClXOLXrjrrJnnl3gSwgfeiZzu2zVJFYqOozVf26lnJgcZsvyBVusjAElX61y1f/fzWgzCiBTl2hzvpisxAcEGEUvYB1QlnLdXGc0c/Ljr0bPfzsXYuYU9zxBF7abQwqO6jn1xBSm2ntxyjHWarIiXjeTH5Q1vYHqhLvPVnOWOaoDLq2foyfa83jo4+GYzdoeVbfv7zTIGXWld05fHNfHyRlQtULD8ra1cA5PrfYG1yrAOARc5w9G+OBY1iZTCjlxXXx/qArsNE8xcVmN9Qv+2Iz3oM7WcEwfe67xnT1XeeFxE8vneJYDmOUOr1iWlfqetc3hMSlncagUP2wgPXw/+91K3hpt4EXAzUWqfutAKHyXFd250JF8KnajDbCNxhvO+ndk5aqdotNszpUCPOMFe0h3tP8SAoyTEHXeljFLLu2jGQmG2pzSf193FAlq9667fb94Pi+sjuHN/brAxnpQrM/9wWAT9V9D0Uwrj/Y6IAqjxXtmGjbdpvJDiusTCZsE6eiPFKXg7qrQSXteqeeSqGKF9MCAIkvLPi2qWh9VxHoipJW+TIJqqSuL0eeGPTITnJp3ZfCItHCrxQgA0ruG/vRmrb6e7NtVqCUtknvnkRHQQ2ZFxJbq8kF+POFqgQgY5sdKZG63S5TLlwUnjI1grC5bmpzu/l9/TFtNsPfJBvYmJ9BFRKdnrBqrkAltwlIvBoIw3Fpu81khxVWJhNplBTlCre11Ll0fwpaa59f7uK/+oNHZBOEG3dq5PXvdQVpBQD0gurSTgOtt/0Wtq5dX9IhA9Uawse7L2nrwwf9Yt1qsdm6PYeLzeTqD2pRpLLWy+QmC95ftG85XfxfOhXgjy6QauwFcenapkPNlWClh7MVxBbTSbJwM0NcFZ6yNIKwvW5Kvqq211Gll2owEDyOKTEqWi1l2HhGhdXYzRvqOiSAyzuNgYI+6d6mSYMVViYTlJISX6jjbn9bS51ypy9VzKWEVusSP3z6Lj58+i5++PTdQfa16Tym9n9f/p7vftJZEaiYxgPPb2FrEmJ5WSJX637gv2st7KWqjC021zt1bK6c4EdP38Vr68fkorjdqcWycoG4m2ycRBfTaN9y6p2r56krxaYrSfR8oMRbs+r1hWnYiv/5hZ5VKZ7o56ayR5Nu4WaGuCo8Zek8Z3vd1Fxba+iVXmoEB49DueorMHlP6A38XlfELMR0tywRUtCTFGwOF8gXVliZTOh2/Kp8iLI4iYEFMOz2d3VvLQykSPzzMwYrg+k8JuvtPQ94c7+utSKYlAPKxa9+426JlJoarBL3PF8gurQiFJCQEomLzXxlaJlYqgwXxa3bc9o2sOeq5UkASlpM01qpovVsr66dDEI8DnrxsA0Jgd+/X4kpGEmYFGegXG5hJhtpNh9l6FFve93UXNv6jKn9d1zWXTg/vMcvLXe132lAatz4NnGucQuxjRHA1AZWhbxxuEC+sMLKZCJaSH1YNsRXTqMlrYBwlQAbxcHUSx1969bXDVYG03nU9VNWL+ra0ygH6je0e1nfGOD55S5eXY9amIcJYrRwjZ/j8ws9MrlHhQr8wm6jX+bKf9bHgUWFWqhGmfSRZLVIWkzztFKpzkPUJmWvX7Q8WKWBKqLuE16cdZTFLcxkZ1I3H7bXTc21Z1dMSnlc6bxxZzjHr66d4Pnlbiz8617Kqh2K4KbWPEeH6BIiXUPeGHu4DmsBzGqtQJf6lqqOXbTkyYXzp4PYUrXAU/VaXeqOJpV3cr32a+vHxhad0Xp/0XJd251aoAmAucoB4AvQex4c286G/16FRFVAayFVn5+vSG2dR/Ws864B64pNe8u8r9E0duhWwD66cZBU79HmOiepDm6eTJtszaNd6zjIet0PPngOj/6W57xemPjUzUVDLW47guuSTQvm1bo3WKOic3FW215ngVuzMiPDJYZO7cSD7q3NlRNc78Rd8DaB+EkkudH0oQ30tSvLQbMaj6uNtrBVJayCwfobzdN+iINNyS7/WdBtZ/VCMfp3XTml6Ocm6yswfuuejdUiz2s0ufWu7M4ltAKOFyk/kr61yGTVt4l/c3ULcyxdOSlLTKorLtdNjT0qnEyHjcXZNZbfdB67Fsy+EQGAdi5OqvW8zLDUYnLjkbrUKpc6K5NOeaCUEUpg5DnxdW3//uzDFbz5gYxZEdS1q2LXJivxUlXik0B8Y7DIvnuSjM33JVaJ95DlHEFBbtOKtihsYuei1+h31UmnBFBj8hd35nCUog4kMMxApt5TMP4tqTmDjaV10hs9TDtZ27WOC5vrpsbeuXN6WXLh/GnM+2Cz2dzu1LTRr2H8VWgeEvc04WrR86j7o6sXCHR69FxKakfLuMMhAQUwbW4rWyg3kap3mqTguLXZ8+OWgn3Y8+bBB8/h19pHTsrZdqcW6mJEoZJvbF1iQ5LagfoK62EPWtd+mnO4vMOiSePuzzIf6TFpfg9nhMSC0IdXAHRoQFLb4uB92rplxx3GkSezKlsnFWrsLdeAeeHFNvl7XYEKAJWauFTxG79QssamNTgQ7mal+63qetWs+kmpH3vmlslRqLk07aE7ow4JYIW1AGZZqGaZoC5xpEDxC26a95gU06gQ8MMG3iCLYOtZqngQAn1XtFlhkjJcr7MOCWGIYVU0qx7OVpBo9RiH6zJN7Fya95i8ENJUIPGr636hSdNClzX+zVYRnaZYulmWrZOIvRFCvwE0zW0744DEh4YxnhSrqs4PwCgPJnEu5cGoFVYOCWByJYt7S+dCMVG2upPbnVpCTOOQByoS3zIqq1LrsvrppdOE3/ncl6KveMqQMgRgoCBFwxXUObZW4wlpVNzoqBXWUYQk2CZc6JF4oBoOn7i0o29drNoTU6WrqHCB4O91BGNgt27PkW5SjqVjioYax3H03zHJmc09fYm9IEnZ/klNXNT5VWwqFR7Ac2k0sMLKlIaoMlIBjFmfZRISV3bn8KaltfSM8C2dVLtVVYUAQEwxe/mWvmWgjoOewHtPxnf9rjGQZStUX3TMn20nsmhstvprNK5t63ay8hlku1PrJ3PEQzOC8W8mpdbGcsSxdEzR6I0QSWFNYSg5k2QcsBnjNjIs+B2OSx0vXCWAKRUq+/na+jHOD4rXxymTkNju1PDmft06/lZKs7CVGCplmysneKTuW0m3bs+RWfw6bBR6m2zzacp2pTKWg3+3sQgFK0HoxmjaRgXxOrhAtHmDwnRcWumenEx0ZvLRVRNoVt3kRppGK7Zj3ObYwe9MalWHaYEtrEzp0FuH5CAYXxdAP058t6u9ItmFQBWSLMOi3Fi6DFtTiRWTNS4L02JVoDKWv3PXXBdVUYWEB4Qs0Z/r9Pou/zhBy0xDSBz1X12zGg+7UFAtf4WQ2Lo9h8s7jYglXB8ecZm4JgFMXKIVM9lEPSLbnRp+8db8oCSUj97qKgyNNJYqUruBX6pI6zGeFIamk3OTWtVhGmCFlSkd1KK9UtKsZrNbSS+Ie/CToKLu/WCLWeo56DgD4KG65xzXaRMSMO5SVnlBlaj65n49seC4LvlDKcCmUmC6zdeRoTuryf2prPLRslRpY2AZZhxsNE9x7hzwlXa4SsDfPagFFFD//0sIvNWp4+8e1GKZ+0L43wjOvzr8qgIu1xKUbUuaKgGTJuemGQ4JYEqHTTJJmYqgU0qA3zRA/9lqXUbarcZbzNKKcPyYEr61wKW/uEuv6zL0L88K9TxNrW1Nbj9TrGua9ozbnZpBINsdQzHuBg8MY+LZlXCx/c8t9votoONZ+PelwIE3lFEv7Tbw4o4+bObVfuy/y/oQlG3vPXmI9lOHgxyCYLMXZvzwW2BKh0sySRmKoOvcSgISn1/o4d3jCih3fZJryT7D1g8zcM3aNylTwRayk25ZVVDPU9VgjLJaN7sWTRuKIxksgxNnryvQenthYFFaqAD3PSrJUG+lN1n2p8UqzswGtomOAFWWT2ChbxxIuz4ES9kFK7SUYY1hfNjCyjhTtIXTNZkkydpUNLpA/OeWu/ide1Wr5BlF9LleOH+KM0Jnoc0na9/Gkm1rgZ0EqHH1peWutkXkXlcMxrduzNPudd9KtNetGAMN/KYC/ncPPaGt/lCFxFIlXdLbNFjFmdkgj4ojKjGVWh9M61ZQ1vmzP981pmxewUmFFVbGiVEoMaZMTJOSNU6hEFUObtypaeNPF6ogldXoc31jv477DiGHjwSStWyeQ1L2fxk3B1mgxtXVtZNQ3/BhuaqwCzI65i+cP40pulEkhKY/un1ZHw/AK4+ye5+ZbKIy6a3b4c/ziK1W1VR0KCsptW7ZWHjTKtXTtvEfJ6ywMk6MSomhrEOUYFuqylIJBdfapXSClZ2QVNm0j7+zgEsa5Ur3HJLiHMtWfzUPqHGl/r5aj9dWvS/j1s8jKfDGfh0N4cceC9Al2CQQUoZdalA+UpdcSoeZaHQK25e/h5BM0skiGok69HKLWh+qgHHdspFpaZXqadv4jxNWWBknxq3EUEqWlGaBNGpca5dmeX4qXvatTj0SguBzJAVevjUXsnBc2Z3rC1Lf7ayrXThN9VdtcXsPfjLIkSdwbf2Y7KqjYmF1yrCJ4OaB3fvMpKJT2O55CMnm4KaMLt3ny7rnl7t4dV2/gaPWByqxUs33JJmWxaMx7jVzmmCFlXFi3EoMZW36mCioPy6h4Jql7fL86hha9VbrHq6tH+Pd44qxTeGBJ2LhBipeqweBeYFYUs4sZpqnGcdqY5TWYq2o9mOcTVZUjoVjJg1bhS3o5dBR7XcAvLp2YvSU6NYH6phqvuvmriA28q6Me82cJljaMU6UoYi8Lrvetf1l0bhmaScVsFY5q9RxqOL1Q8z1XHU9u2cx01z3Hs70LfimlrgfdEXi86KrPkhjMwFFGStkMEwSNjWBg9VIlqoyVqNaVweZgqq+Ylq3ipR1ZVgzpwVWWBknyqrEjEsomMo+uXREUc/VVzz1itGPnr6b8irt4iZ1lpBZ6+pCjW8gWKaKXnxNz4sao6aqEcHruOfRYS+z9I6YyUI37s9WMJhX0Y1YpydwRkgsCS+3Av4261ZRsq6sa+Ykwgor40wZlZhxCIW8LV4bzVPSUky5tBRUm0IBiaWqHHRJMpHVGj0tNVup8b3RPNV2rrLdGLmMUZe2vBwLx5QZ3bj/aquCL9b9ca+Lcb0vBR6qSbSfSrtJ11/HuORRGdfMSYQVVmZqKFooRBWyw17+Fi9bS3H0Wn566RTf2q+H3Gh1yEHnF3O4gbs1Onr+C+dPcb1Tnxp3NaV8Z90Y2Y5Rl7a8wXJm07BhYNJT1jEQHfcPPngOH33k/++8k5KCDQBUU5DVEj0LJj2ssDKMBaOyeNkoRLprud6p42eWu7hxp0b87hgv7DS0nZSqsI8Po87/5n6dLLY9aYtEkuU868bIRqkwt+WNb2Y4vpUpegwUpQzbxLi6XGPwGajqAKZnUVYln4nDVQIYxoI0Fq+0JJUwour63bhTw3ef0PfB3mie4rX1Y20W+2vrbgua7vxUuaZJdFcXWTfRtog4WW+4IrXlfLjWI1OGcZuGPKuRmBoA6J4FF/WfLFhhZRgLzBavIaNI9Erq9kUJ4LwK0LsooZNYuqXIuom2SgW1iL/y6Il2M8O1HpkyjNs05NkYI+leo5/zRm+yYIWVYSygFK9mVW/xsiFtTU1TXb8kAayKa6s2hqrHtgvU+aMtSCe1dEuWuolJ79SlJqXLIs61Hpkix0BaZdhWxuXVGCPpXqOf80ZvsmCFlWEsoCxeW6t6i1cSWVxRJhdakgDOwwVGnf+55e5UtA9N66K0ebYuSoXLIj6LTR6mAddNq+n7RY6BNMrwONztphavumfBG73JghVWhrEg737ulCX0hZ2GlTWCupYkAZyHC4w6/9W1dMp72Uj7rm2ebVFKRd7jkykeV4Uu6ft5jQGdUpxm3I7a3a6Sp4Ltpqm204qi5iN3pCsGISW5k3gMwA/29+/C83i34YJfsuOTcV8Gk5Ei3+PDNxcT+8rXIXGuKnHQs89epeqEKmFNnVdAZmhMUG5GNR9tn61tVjJnL8eZJtn6zLsL/fbIYVbrHr77xGHs74+/s4BOz/77aTDJDwBO49E0H7wvilzfY5LcS/ptnvMsy7VMGnnPx0pFYHl5EQA+DeD96Oes9jPMGHiAKPQfpAsxKPhvW6ImbXtQdoFlx/bZ2pTF4jJV5aDITYNL/OR2p0Y2/7CNt7S5F5NV1NVrYp4P+caImq476Zrzrt+d5VoYMxwSwBQGu0XibHdqaL29kKis6rB1p5liHznWsTiKLs/D2cujpegYTGqTWAFiMtN/7+nL6NneS55JSKOUNWVKnirTtUwbrLAyhcD17eKoZ3LgVZDWwpBV6HGsY3GMojxPUYseby7jFL1p0CcISfQgYjLTVFbPRgG0vZc8k5BGKWvKlDxVpmuZNlgqMYXAbpE4pqLWPsmusjyEHve1Lg5bd3+Sa3aUoRscfqCn6E1DNHynAsQ60SmZSY2HpYq0eke292LbGtqWUcmavK97Wq5l2mCFlSkEdovESbr3ZlXibEUtTPpkBRZ6k0VUOb1w/hTXO/WYcvidu+G2utHvAcmLXtp4S95c6hnFpiGo0D18c1H7nQ+6AtfWj7VK0CuP2skD6l4eqEg88+4CPugKPFCREAKDLPsegNUJSfazaWk9i9cybbDCyhQCJ/fEoZ4JMKzpOszkjyMBFnpjxFUh1Fku39yvxzKnj2T473tdgeudOi42w0qs6XxZrKS8udQzakuZSWZmVYJ091KHxKEUOOifMxhX38PwXidF5pTJc1Sma5kmOIaVKQRO7olDxaw1q+HYLkqpX7VU9jkeMX/SxGTrLJdUKTOdEnvjTs26rm2WeEuOudMz6njvJJmZpRuU7l7OVSXuG0KUOMmPKRu8kjGFwG6ROLbPJItlh+MRiyGN2zyrhdLl91mspBxzRzNKS1nRMjN6L1QIQpBZt7Iz5YIVVqYw2C0Sx+aZZFm4OB6xGNIohJSLV0CGLKrRfwd/b0uWEBzeXJaHUcpMU4hS8DsMUxY4JIBhSkha9x/HIxZDGrc55eJ9brkbcs0+t9zNHD6TNQQni7uZKZaiQnw2V05Q10bL+7CVnSkbrLAyzBTB8YjFkEYhpGIgr66dhJTDq2snmWMlub7udJImdtpWwd1onuJcVS8XqpjOVqIc3z/Z8NtimCmC4xGLIa3b3NbFm4cr2PYYRbYbZfLFNcTHNYb9gGj36mH6KpJwfP/kwxZWhpki2NJWHON0m+dlGXKx2LE1avy4hvi4VouYJY8MtzuefFhhZZgpg+MRp4u82hxvd2p4YaehXbQv7TRCSmlRrZVnUQk23XPS83BRKLc7NTKJilJwZ6n8YN7x/bM4lscNK6wMwzAlJg/LkFJAo60/h4SV0iKsUUUpwWXGdM82z8NWoVTHolo7U4rvLHlk8rQmz+JYLgP8dBmGYUpMHpYhnQKqQymlrpa6tNcwjSXXgjHCFSC2SQgq/knPIyl2Wp2LaucM2CUHTtPzp8gzvn9WxnLZYIWVYRimxOTR5thF0dzrCghAW/AoS2zjLJRciyb29Ijvme45+hmlUEbPpcec7T9LCXh51huehbFcRjgkgJl6ONaImWTyiDN0UTSr0LeQFcgW2zgLCT62luxH6jLz87A512pdGpXVWXNr5xXfPwtjuYywwspMNbMolJnJJrrBApA5zlCn9J4RMlY4fl5I0iooka3U0Swk+NhY2NQ9Z30eSecSkLhwnn5fnDWfnlkYy2WEFVZmqmGhzEwS1AYLAL77xCGurR8DAC5HsvqT0CXXfH3tGK+uxxXhVcJKRP3dlmlN8AluMOgFVQKQqEDiYrM7cPN/be0YSxVv8Pl8xa0drwkJgeudOjlG2K2dnmkdy2WHzUzMVMNCmZkkkjZYWQqfU7GQur8V1XximhJ8tjs1/OLOHO5hmPDkW6cl4glQ/r89AG916vjcYm/wHI7l8Pednv071SURRQkmAkXjVZeqEh1N4wB2a9sxTWN5UmALKzPVcKwRU2ai7n9Tdj6lzEZrqNqcx/Rdth4ls92p4cWdBu6hAp1yWu1bTHXcD2xAsniA1HuizqP4oCu0lvtPegJn2K3NTBBsYWWmGm5VypQVXatIAUlm59NeAWG0tqZpScnWIzNbt+fQJWva+pZUqtIC4L+DpA2KDRvNU2zd1leRUFQAXNqJ12jtQuCs9PBQf2xNe5UAZvJhCysz1bC1iCkrOuua1Kg5aoOV5BUIWuaCFlWqu1WSFY+ra9CYFEQAeKBCVwHw8a2c1FEqgPXz1iUADZH9OrD6M92DwObKCXfFYyYClkDM1MPWImbUUPUtg383qTNLFQ8fe3GrV1LMYtD9m6YWaLAQva86p4uXnXaqoJ8rABxKgZ8+38W39utGS6yEsqqHv9ODwEu7Dbx8S2rHQRBVX/TlW3M48IbHCb4/Gi52z0wOrLAyDMPkCOWC/87dLq536hZ1OgUWqhLtp+6G/hpXTPQJM7a1QB+oSDzz7sJAqb5w/jR0fVGFmjv5DDEpq4Afp3rjTg2vrkcVyfh7kQCqA0to+Bj3A2PopYQNw6EMjwl9cEkcTkDVM0tNFSYFDglgMsOuQ4YZQiXSfHPfRln1CSoRwfm1uTeHu4Syqupu2ikgEgeeCCXhvGlxfazc+NiU+PqgK7DRPEX7qUO8vn5M2jqTrLWK+1Jgcy8e8vHMuwv4K7caA+V2iN27okIXZkmuR+/1yu6cVf3uWXpGZYAVViYTXJifYcJQSp2NUqJQSkR0fnV6FdLFrOpuzhOWNZW5LgZll3Txs3bXNev4SZvmZ/FIXQ4Umks7DfL5Ri2rJjo9fcb/oUf9InqNdlUBZkmu6+5Vt3mLxn3P0jMqC6ywMpngwvzMtJHVakIpdVXyF7QSYeveVxxJ0a8LGqYOidfW/aYANoqpDq6uMWSjeYpmlVZY54Vv7VYKTbK10/6dvHxLNybo3wcTTp9f7loloM6SXKeTH+MEN6Oz9IzKAiusTCaKKszPrhZmHORhNaHaNn5puUtkc6u5ItGshpWIdPMo/psuMEimMqOzyPn/NchM9OmGkkVbq7rs/OE7vHGn5rTZsOFsP5TDlqWKxHefOBxUAbi6dhL6NxWTOUsNV1zuKbgZnaVnVBZYYR0D06SMFVGYn10tzLjIw2pClVK7unYy+LvenSxwthLuPJWfC170LX00Z4QkFgQ/fODAm715aJJFuvf8+vox3nvSVwTzVlzqkGhUAdqaGleef3rJLkkouiadJYbKNIaEUPcUreMR9TBwU5rRwwqrI1mVzWlTxihrUhbXIbtamHGRl9Vko3mqtWSpv1NHi57HXGMTSIqjjKM7s9/j/r4EPKKlqGLW5mGSLKLeM5Cv4lKBxKvrx9pWqj4SX1joRZQsP6ZZt7YE17HH31nAizvJMbFnpjQkhFrDnksInyhi7WPMsMLqQB7K5rQpY0UU5mdXCzMuRmU1sT3PRvMUF5td0IpptjlRgUQdSlF1r2AA+HLx8XcW8NDNRTx0cxGttyfbaxQkiyzSKTR1yFg7VBs8AN+5WyXfULMq8fv3K7HYS93aYpfIFz/TgpBTWdbJ5BExhU9wU5rRwwqrA5t72ZXNPJWxUYQW2JzDZGVIQx5KwzSFXTCjY1RWk82VE9QRV2Z057lxpwazMkl3OUrCA4yF7XUE5+F2p4aXdhvo9FRikR868OLO5HqNgmSRRTqF5meWu1isDOOC7fHLoumSgQQktlZPrNcW10Q+xccOsbOTRto1LO+1jzHDCqsl250a6Y5JG7Rt83fT9RQdWjCu8IWsSsO0hV0wo2OUVhMhzP8G/LGclCi1UAGomNj88bPfFVu35zT1P30lWGfZm7RNZFZZFFRoNldOcL1TDyn3LlBl0WT/PLZrS1pP1TTGZk7imPz/t/c2MXKdZ77f/60PdjWbYtjFWILJZrcnMEJlRpBAAePNzWgRgN5mgB4gBJzrK2VhDDmCBHgWHKjXLZgLG5GgkBcTIFKca4CLNHDv9hLIQpNsdBEzEhRDMowZVatFw1JYLVBsdjerq94sTr1Vp855P885VXWq6v8DOB5VV53v877P+3z8n0WGBqsn0eCrf9FDXuSiPDiTSC2YVvqCyWgA4DW4zFvaBZksk/Ca6Ay9pwadR5d39YlRg9POKSGxWgnPgY08vhE24yfZ/GAWF5F5FjBJY0gXoQvBNFmv9P/gO7f4zVej3zklJA66mCvDbqddS+XuzktkYF6hwZrAtOIyD8yjA8JOu4YffAg8e/8Mvt/P6YpvpygPziTyPKeZS5o0GgB4T3jMgSVlx+Q13euIwXjhF7oV/TBx6LMt8ZNmB29fchV1pYm/RzbjJ/63WV5EZlnA6Ax0c8GUm2Uh0TCkEBz0YFQt0M0tOsP2lJBYEXH1iqHU2kpFQkpgvzdbiw0Xb325lEqH6UDgrS/L/0wuKjRYY9i8AKaBebUyTERXv28dAYDodzBJv+BFeHAmURwSuo9xhldCJjzKjZCyY24iEI0XN1oNSypAEc9xlBMJAL9aP+p3wfIj/h5tXTjWFhEl83EXbRGpX2z4n2u1r+cKSFQhcSihbQihtuujWqDQGbbvrB9htaY7RoGjXjrPeVYWGzZMera+OrdMJ5g8NFhj2IwiU7jl7UvH1t8nt1MUkygOCdnHuEN+IRMe5UZI2XG1ac3ajSrsGAR+vtvAR4+rODsoBBo9Clcrz83mCd5ZPxoYV4DEaqWHdzdGPXuLtojMa4hXAPy3506wLDBwfNgMXndDiFF0hm1oS+FpLTbKYCjOaorLrEODNYbNKPIJt7he4CJf8EkUh4TsY9whv5AJj3IjZFwUNVmueRlqQiteHp53auZQCnzwsI79Xrx9aOTdu7NxhDsbw0YHytO3/WBp5Lw3myf47MUDfH3lMb6+8hifv5T27C3aIjJLnmicTt8DHpLzmkw/CyW0pfA0FhtFGoqm1rrxz41dzmY4xWWW4XIgxsW61K5U1Yu52TyxGj2m3ye3UxSu45nkPkzG+F5HDPKr8rB14Rg/322MDBK2CW8S14YsFmqyVM/gXkf0i6L8i3C2Hyzhq47AajUS608L9Y8iEYWHu4iMXPW8J9+FPKS9uQKnK6Oam3nOG1Ddu44G53+xfy7z+o5ePXuC9x/WYU8DEIN7q/ueywuf3BaQ7d4oTGPstWYHd9t177F3nNgMxdDz3V47xpu7jZHix1MikggD7O/7oqW4lAV6WGPk9QLYutKEvuBlCHuEHJPZGBeFhUqWY/qFqxV6TclkyeNV0Ym1+xX3R7nwywIDAy8eQSgmnzVNfOItypu0KJqVO+0a7rZdxmpEDyjUYw5k9/T5tBSedsSqSENRpbMkc3nVedme+0VLcSkL07eCSkReL4D6/S/+tIzWkUQVGPGM+G4nrydnHLiOyeZRyLoCNu0bAI44LpAJk2eyzFuEk3yHlOGqezfsSK/9xideepPCCBHmX63KDOoB7nuY9d6YIlNliVi5oqChmM7Lpn/8VUfg9sZRUMSPFAMN1gR5X8zN5gn+9jLwzTePM2+jyLBHUbiOydWNJ8/kVsbrQeabePheLVzzTJZhz7/eINFtQy2Sr7dseq3R8a3VpVeoellE33v50xV81RGoQB+epjdJj00CMX7dTwmJ77rhkmSrFYkjCatRfK5gr21ZCE0Ny4JL//hiXY44t/Y6AlVgkN8NgPPSmGBKwJTRhdnL6NFwHZPr2PJMbmW8HmR+MRV2XD17kjllyPT864qqTMUgF+syY6rQMKXg1vqxpeArCouqnEV1/lGV+uIUTOVhp10zTqqrFTkSfl4R0tEWN33d64iUaUZTQtL380CKUqSRFc0kCmptHvL4c7/ZPOmnAcIoYanQvbdlTPsrOzRYp4hpYjStjsft0Yi/QM9/soLLHw9fplXLJOo6tryTm1EDtyr5wi8w4xrwTR79e49qmSdLU378q+c7WK0MDY/liuzLGaW/e/XsiXa8iITO7Yu3eF6j6VjubBzhty8c4N6jmjZ9oQo59RzGMqPG867mXigJxHgO77eeep9xegC29pZwo9UAANzZONIucJJd0+aJcedC2zzkyefeJ79bN8+/0WrgTcpiBUODdUrstGt4vZXOPTuUAkJg4hIwuqKQeGeT77oiJRAePyZ9wVkkj3Ot2cH2g6XMq0tTZ5bvuoIv/IIyTh1El7xdlsnS5Bn60ZkujuRQZ7PdreD9h3UIGb078e/qDMlDKbyFztV5ubxUpvPvAXNfMJUHk2euqjF0AF8HxOj2uv1nJP7Mm3JgGYHKhum+rNVl6h76RP90z0UHItWambJYbmiwTgHbShwA9rti4lWZrkKBDgRWhDQek24SvLNxhO2145Hwos/qMmnMAkhtu450OO1QCrzeatDjugCMUwdxXBXAunbDukUrIPAEFRz2ouIOl7C7L/HjtxnerIDOhs3Q143dWxeOUykho7iv96EU5hQEQ1SM2AlRC/J5V0LeWy4y7HBGD0RXjAFg5LNfXAZ+XDdvY2vPbhyqpO5JejF8XpRvewKfv2QuJtMd88ufrmhXl8mxOG5sJNUIrrcaWK1I/PVqVNxl07pVi4C9jsCbU1ZWIONjnHnNRRZ26MaLeHW/adEKpAsLTUVfKxXgSU8m9FRHC3xC5flYAR1OaFHeZvME11umrUlUAC/pM9N32l2Blz9dmWu923EQohbk86649NnjcFFoZ2E8rEXku+nCkG/uNvBGa/Szn/0OI9vfadfw/CcrePb+GTx7/4xVxmRaE4PPi2L7jin/NaRl4FcdYZT/2e9FodK9jurI497uUymwtccQyzwyTi9gUYUdtrQFX+mjuAFuSo152hsV/xeQeGWlm/n4Z7FTXBkKWK6ePdEW0dnGc1MB3Fpdeur02mCqVFZMEQif6F/yXdm6cIy6tu3xKHVwUehiIQzWovLddJPMUylSoeknvaG8xU67hjd3G2h344aWOan7WrMzlYnB1vQAsA+8tvzXEMmWi3Xp8JCFe8/CNQ7JLDDuVp9FFHbY0hZ8PcHJMH5yctRVmksI/PPTSq7jnyWR/zL0dVfNApILB9d4bnuO/dr3RnuyMS+5ka5FyU67hssfDx1Dz39S7MLF9JwBGMjeKadLcr8idYvS9+yZajpHloyyEAZrUfluWXJRth8spZKrzYi+nunkSU6GzWoPqxU/D0uIUDYQrSRNBVwMiRAfyuwFVBOrTXjc5znXGeBJQ9JUab5IuXBl6OuuOwbpMZ7bnmOdx7aOqKVvKHsdkSuyOG3vtWtRstOu4Y1WA/u9oWOo3Y0ioHmON37upiLprb0l67H52gDtrsDN3aWpX+syI6Q0Pvw/APAvDx8+Rq8320bEc/fPaPplRyvgP13xF/iPJiE/G7+KKKQj+3vyJfSYTDlyk8R0fUeJroTq/rVakRAiKjDT5faF90k3dX+J5HqyXJPvfe8ZfPPNd8G/I+VinPcx+f5dPXuS6rueZK3e0+a+1SHxTFWm3gkblz9e6U/SSWRwh71ZQHcvixrf82AeA6NPQ8dm3TgoEMmgffCwbtyX+qaJZaFXLAg5jtBt6Ah9J01z71q9h9++cGCdm9V3QvGfi/Rzj9qv3/yo31YR13qcFD22VioC58+fAYA/A/BF6u+F7anEFJXvZsohS+enRMU/oSHx0GMqQygM8Dvm1YocEVje71Ww3xV49XxnJOSoPA7Nqq5Puu6/1T/TdZ6PcBgpH7r374OHdmNVeU11nrV3N47w2Yv+Yfiddg0Hxn0tTv7itFUNbM0C0J8HlDrK85/4ec9sHlub7NKdjSNraleo57kM3msgX+OarNGG0Mihab9hz+H0r3WZWQiD1aQRetBF0GCum2TeWT/CuxvDz6re4Zp0h5LQHLwyDCY77RoOuoBNgmVZRN5U3QD8wcN66h5sNk/w2YsHuLMxeq1fO98ZdHcRAyPVvShYpPAomRwmo0KPXgouT56oT6hxESa8cecz2/BRe1B0NBqqpvnHlE6y1xHWjmvxOco0JhchszTpMdW1KLEZhVkXLj7nKCCx6mj0o3s+64YOZVmPY1GYe4N1WJGLfu7PMGyy36vgRquBZx0r3ngey/aDJVw9ezKSYA1gMPGYKzuH3sDT6OGUiI4h/ve/PN0NmrSmNZjc3F3C9/uJ7ddH8oaSROe6XJHG4idp8YAmJ/Rb61GnmLV6UsLHDvNiyTgIec/W6rLw4iXf/c/7hDfNfGazF85PQ1U39u20a5bRTeBuu45rzY5VE1uNkzpCxsNpe68VrkWJvhI/ioBmXbj4nKME8PYl+7Hpns///nwH1QKPY1GYa4M1HrIDBHoab5wK29t6ACfDfkpeKblStoWG1uoSX195jK+vPEazDo1nROCfDqpePYiVwWh6jMf5gN/cXcL7D+uD0L7JUFUeUSlETCFBT+iEGvJ96keWlzIUc+TB/J6l04YOurCep7oWz94/M1gMuq6J73u+CBPetFQN8i4GdL/ffrBkXZCrNsGu8y3C8zxN73WcpNG3WokcITdajYG81LsbRyNtjpvVKAKa5VnwiRwCw+5XrgVT/PncuhA109F75ad/rcvMXBusoTkouhWvSRc0+bsbrQaut8x9pOMPnWmQk4hE8i9/vDLQbb2R0Hj9u1YjYTDa91U0v35Y1+43jgAsPcnThE6o/t+fnkwYsVOW/Os8mLw6VWDQVrVZ7UFKjLQ5Tp5ncmHddSyiFVfPnsCV580Jb7yYxqIoZz+btrWPEezznSI8z2VS41BG3+2NIxzJdHoFAHz+0gG+vvIYdzaOcLqCgUEbMq6o93E0cmhP4QtZMNla+Kq0t2lf67Iy1wZrltVv8je+2zAVWOn6SNsNrihVQXklkyttnZdYHcEkHvCux3fU+flcuywTqiknOU0UPksaB7Ps1ZsXypB/nZfN5gme0bS/7ELgdAX405XHOF2BtoVw/DxtC2vbNYkkk9KL6Wo/x5sT3vgxeSDfvnSc8giapPyS5G3iEqcIz/M0NXl147WuU2T8Pcm7GDY7qcI0dk2Y5sUuond6moo/ZWeuDdYsobDkb84ZEqp90fWRdveQzsYkBhNX3k18EHZf/2ySHbpV/ysrXeiM1iIHMlIcZSnmyMu+ITfbVb2sdDF9usGFXqseMBOC//OAzQMZN/Q+f+kA71hC2vExKE8Tl3lCN16/0WoY6yHi2uc6g/b1VsPLUeEzBvlo7JqwzYucm+zMtcFqkqEyGYsC6YEg3aEiDN3Dudk8wavnO4Uarb4J3DZ8vI8/Pd+BSV4q6dFxDbyhx5wsftu6cDyYmP/5qTlP1jWQzZJXb14oSzFHXrJWLwsMJydXik0F+vzX0GtYZHSBkYohvh5IV0hbXcM8TVzmCd143bG8L+q5Ny0AldSkyxj0HYOyLq7NrVo5N7mYa4PVJENlQiLtDTV5UEZ/pce2Er61fozbG3b5ER2jSgfDY4gMSX+SE87NXXu3jvhxv3a+05fvkoO8m681g7W6/sNE+FG6EN6rSJd31DZ4uFIUZs2rNw+UpZgjLz7Vy8m/C4SoXEjjRLt14TjV9aiiWXQDxUYXGKnIh8/COW4Ef/biAT5/aTba5BZJ2Lgs+zndfo4QmzHocrQoTNFXn8WcT6tWIDK++V4NmWuDFdCvfm3Cywr10LkfW2HwlEo0HA+9OjaX2LPa3lq9h/9p40hrMN5a95/ofQXPVdu5JLfWj/HHvuLBH6881u5bXb8brQZWqogd8yi+q0hXmMf0IMe95vPi1ZsHxl3MEZ80fvBhmN5yCK7z0P3d/LQN3+nh/5oNm48eV1Myer3+50mKjC4wUpEPLpz9CBXcV/UKPnUWgNkY9NGyBfTRV5/FXGi7di4GhyxEa9YkrnZz4e1BozaIex0BgVHxcN/WajvtGl43qAwA2dvL6QhpMYu+QexKBo+3qFytSnzXFSPFJstC4lACupWkgMTtjSNri9ln75/R/jZ5rMnE+Fdjxnxom0G2Zp1NxtVOsihcbSYVrpaj379/RjteVCHxx0RL0iLbl06zFeo8vJO+93+e8bmPuve4jqgJjcnga1Z72O+mi5VNqHEBwMj881+c6uH/OqjGjF+/593n3oa1ak3/vkywNesEcHlFQsWglSi4TtA+xPPwn1X13S/yiB/rCFvJC6PurCK5qmx3K9rKaNPDdq4inatSvyMerZC+vXE04v0tk0QLGR9l9wD6pkO4IgImT5Lu8yKjC4xU5KPM6TBlyk02tS+O0vr0z1o7wFgFonHhrS/T6XAfHlQdWuNhkmTxz7O8J/S+Ryysn1lVceqwPxzJMF20GotWVuGhnp12DW99uYT9XvLFiB7qZlVie61YeYuLfW9wmnQIMkI/+bsN/FH0XcAknkIYDQzl8fZ9xVWFtAnbfSfzQdlDrtHzZ48oAJFh8+ZuY8SbFF+8VqE3TnU5fFsXjrVe5yxGUpHbWkR87/+kSXo09zqir286vUW9abzefmCaw8JJz73Q/HeSKGc2Hlm8WJc4V5H97Y0Sz3fVvT+nhMSKkIZj4WJQsXAGa/wBO1eJwgv73SiMLSXwbS/yBJomgnQITuDDgypcD/jzn6xgvzs6OO20a6kJKb7dtXoPWxeOsf1gCTdajcIGNtOEI6TEE8/VaXzy9zcE9Od5YEg5UQNS5Bnz28eqRheTzB/JiSL+XpgWZL6Dvm3bReG7cEpmbMX/+6fnO3g/1chDX4BZpJFUVoNrlijjwtkWmSjbsZrmsIbQG4zFI/Dv92u4266PGPjDBgOjx3Ago3zZ4X3Xvz+mdCYuBiMWKod1p13DG61GKlytZ/Shs+VghiPxykoX//eTCg6kLStDYlkglcPzTFWmjOzQSUM3KQPwzt2N59T45cSavLfmv6nc1huthiHMk/5dHRLvbhTjEZiHfLl5JEsOuk8OqxIlj3Qe7b+dhFHrkw93c3cJv35YRxfRgvqngQWYswbfyfE9e5PMTS7iPuadw/Jjm9PS+OahTmJsKYpJ57AulMF6+eOVfru1EOQgLB9NZkWl/apran7gq31JG1+KKCxRL0u0WtTvO7mfm7tL+OBh3Zo7FCblMySq1ITBINYPGEUlqHNynAyhA7SPIRff5npD4B+eO3Qaq7aJLrntSRR1TbO4qaws+js5zmdvksVg47yP8TksWQRdLGEG6zy+tyy6GiPZQgVRm0UA+E6ryZrVmDcbhEA0CPnKcyiKKCyxS21FHVrig+NOOwqLuAYFCWj7rrv4qiO0Qsu2bZUlV5G4yaLp6ZOjGpez++KVtL5yElcednzbkyrqYnETSTLOZ6/MxWAhqHf/6yuPE1rnevnJbIQZqwDf2yJYKIM1K191ogFBl0owDtOoAtmvjpxeNaGuQvPOxhE+f2lUuNq34GqtHoXqh00ETAPIKOolT2re2dokcGCYHbJMwOMw5FzvTXzbtuLKIqus58WAIMXhW1CY5TmcBRUV23np/hY3Xu8k5p+Kl9EpcRq9gTbykNB5VuKgOz496EVhoa5esyqNfYhtXKxL40AhEVX4xQunqgCqic/8kfg35zuDQSI0H6dIY82nMMDHQFaTbHJ7NmWF+O/0QsvmdIVJTeizlGtUVrJU9PtUqY+mBAD/8FxtkN+qu2dm5YzRbe+0a1ClFUlWq7LQKutpFTfxuS6GcVxHn4LCPNX+ZSwGU9jOC4DznJPn9tz9M5a9DVMBP3pc1RQ32jklJOqQOJAqkiqw35u+6sKss1Ae1u21Y5zyaLkWR01Wtu5Y7yRWpf/rCxj57JTWm2g6jmHHjuSKd7XSsx7/NLwvZgM5OudmNb1KVyvhKMco3bYSidW9n9d4sh4BtqcsBh9vadJzAsDqCUrem9ZRNJnZ2g/r2zGmU2C2HywZCwAfd6H1Fr/eyv5c+Papd+HrceNzXQzjuo4+Xvey6xBnxXZeRUZqBCTubBzhsxejvN0PPI3V+Nz1zvoRVmtI/W4e7sM0WSiDdbN5gnfWj7QtQkeRqYnQNlAkJ5WfXBidaPauPB5pp+rKf4k/1PHtfP7SwYgh3Kz2sFqZXvhmp13DQRfQG9/RqvIwkTccH8ijV1yMvOi3N47wdWJy9vEaCyB4Qs8Tvg0dIMskyF2mY3FNwKaJH4DRkDPdm18b2g8r2R6fFBjz4kngqeGd7mK0veKkr3+I8TSvxs6kGdd19Anbl12HOCu288oaqUmOPao7onuBGpFsVBOfu+b1PkwTp0rA5A5lclT+oz17cqMBfPFK+vPfPAC2/gC0joai3efrACTQPgHWG8D2D4GfXMi3fyAywHo/dnxpivzmAfCz3wFP9N0ARohfzx98GF0/23d0+/rXn7rv2fYPo/uze+S+F7rjP10B/vHP3fcPMN9D3X2z7QvwP+YiyHve4zom0zXI8rz4vF9xkvcsy/H4oJ7Roq6/7TjjhFxD27XbmMDzOS+EjA9F85//H8BDzbr9fA34//4b9+99n6tJY3uOgfBxAnCfq+19EAD+txfM1ybL2EUGUNZKYdMNdUmEuORvloXE//wXAj+um6UefHRLfaREJplrltzXQRfeEmFxOQ9fqZ7k/lwyW9eanRERZ/W56V76SLjYJDtCJGBM312t9HAkhfcxF8Gs9THPIu1kOkeTTFxS1zQp0ZbUeDXrAruQWKvLQq5/iLxRyDV0jU3jfj5dzIqs1TTfs+c/WdHKLzarvUGY28SkJNuy3EfbsQHpeo8ijtv8Pki85tA8ntS1nCaUtZoAV8+eQJdTulJxP0yuqvhDKbD1B/v+9flyQ3xyUSeZa6bbV4hEWDykb+pEVQEGIVJdrqF5b5Gxeu9RLSgElzdcE1LBbdrmfs/ckjZJUWHkWQtTZVEE0N2bOiQaFSD53ifTD3R6wskUnb9a6aa24+vTzdK+WUdIyDnkGrrGJqYH+DFNhYd9Q2Gx6fM4ZU4JsaVD5FE4sI2tprQBl7HqOl6SjYU0WO89qkHXO3i1Kgupit91hAzjD/JQXiP6dxo9LFckbrQaVsNkkgOL3kg3XQe7QWDSsu3281n3OhV8oMk1lMbabIH3H9aDDYG80kghg1GocoNOoqaoxcmsaXtmmfiT9+Z8LZJFOxjp0x3lnl1r+uWr7XXEYEL79KgC3fiRLCBMI4xvjen6mybTkIVHyDVMjk2++yCjTMtY2WnXjJO6zzs+awvaOFkKFF1jq+4+3t440hqryXf15u7SzKltlKm+QcdCGqx5Xkqfl77pcY+HhVxAb9BEQOAJBNpds2ESr7DPeg6hmLeZngRfO98xDtImLdvk5G8Ot5qNVhOm+1WEB8R3gDTtq2nwNiePucjFyaxpe7omftMAG783Z2rQyqLJmCIH4Hp3hgsqkzSeBKyGXvSdtGFruv62yTRk4RFqPKlrZ9KBLuvipiyoZ/JGK0quvL1xlEvhIWS/P99taNNefN/xaSxoJ6VgoduPz9jqM87rji1ypMyO2sYsKIQspMGa56V0hcwAeMu1+Xgu4y9PssJeR9EDi23F3qzK1CR4a/3Y+HIXY0z7G7O2QXqSHhDTvrbX/IzHIsXCZzFMZZowfAdYW8Qj/n75vzv6+yEQjQ/6LnFDlGHruv62yTR04ZHF+zRri5syMA6jyhdTuloV5lS35P6unj2Z6D2flIKFbj/XWw2j42evI4Kuf+hcXkbKnA6iKI/pPEF8hMdNKDHvv2s1+p7RNG1bG6YYNtH8OMowceXPFj2wuFbs22vHI8bD9oMl3Gg1jOEPmzh7EgGZqbBlrd7zDsFMUiTbvC+3MHzRYuFlFgcPwTbAxs9vvWGv7FcdqoYSbfFtmiTo0p9LCGztLfULW47wekv/7qzVZarwRldAaVuoTKKpwLQaF8wyvs+kjjyC/4B5YduDvjWxbn932/VBTcAk7nnI9coTGQ1La4v+Fr/+Hz2u4tcP6+giUgj6aSKH1dcZs9cfa8r4Ds1COshCGqx5B+LN5gmut8x/b9bd27B1zEmiDBNbaH5tDAOL74rdNdCqyVg1CogboqeEhJQYSRVQVf/RAOFnLABRuKCMle5xdIaJ65h9Flh5JspJUqSyhc8Au9Ou4fEJYNM+TnaoipCOzniGxWo3PiEdeS2MTe/PuYrUFjeq8WASC495WdxMiqKNqhBjt4JIajGJKXJg2t+9R7WJjaMh18tn4a7Qq8yEcygF/r61hCeDtL3oGkedrzAwWv33Ud5uVyHXd1osZEoAkK+DjCtM8Kjj/o6tY06c+ARn67Y1jhwp14pdhZOut9IyX6rDT7ziX9co4J31I7y7kQ5R31o/xnua0OqykLh8Sp8nKFDuXs1Zw4XzIhZedI6UK7VH7S/SpBwWW8VZ7i+YdN6X0xUY84zNjCoKJDvV6QoqTYaDEGBIfsbIk26W9R3OmrtahjEjr4KFbQHopzKj0HWjjIgbq0OiRiS2YzNtr2xhdsUspAAtrMGaFfUy2MIJHcD5QNo65ujakwKTf6Bsg4lPPm0XwljxHzeyTYsHk6H2T3/xBCuaHMEu0gNBmaoe8+QIuRZYs1D9n+f8b+4u4fv3z+DZ+2fw/ftncHPXncfpCgMqlYBvDRJtX3WEoZ2z/ZrG3211325vHOFI6gsqjbJnXTFz+caLTp4xOus7nCV3Nc/+iiSPgkUVEocyOv/4uK67HrpixzhrdXMRrIm4N1s3V712voNZUtqYhfqG8rqjSkQ8pB3hftiSYclkGNQWQogMulGB6WFFI1CBhGqUs1yRqe+4wq2+37OFol35tPFz0aGS2l3HYApJPjHsO3nd8+SEFc04PRp58rInRdbzv7m71A/BpUNyv1o3p/a4tisRhT9toTBd+tDVsyepJhXJ3yWxGeum/StvQtnTXMiQPOlmWd/h0NzVvPsrktDrpT63jeum6yERNU+I0nxGz/nq2RP8u4fpXL5TQuJEArqGjlXNsSWP+96jWunD7HHKngJED6uDtCfRz7hIhiWTYVBdNWYcneGljiEug9XuRtvTie3rwq0hYVnbiiuvkSWAXKFh0wsfb0xQtqrHcXo0TPcKQGk8zFnP/9cxY3VIFJKzeZ59w7AuL09yH7fWj/Gr9SOsVtKpKQJSW2Fsk6EzKY90+/luZU5zIWmypptl9XBlfa8m4VHzVS4JuV5be/Zx3ZY699mLB7ijSUG796imlVxcERL/Rusplfjp+Y7zHGchzD5LLGRr1hB82qgmOV0BfnnpEJvNE2uLvq0Lx8ZK4tVKD5+/dOB9DD5tJ23bCm0ZGHJdkoVWJgWAkGPYadfw5m4jpa9Zh8S7G9Ggm6WtZ5yi285NulVf2VoDZj2eZ++fgalS/2vLfdxp13C9ZU/fUc9cPIpSReTFVYWMAFIeVlVFfa4iIURUbBUVUabPDYCxnWt8/2ZVgXK2zZ0Gs9KadZKM4z0vojjSdlx/e3k50320vdNqXM9yPVxzxc3dJa1KgKuVszrmeVXaYGvWEhBfMflXF0Z5p81qD//458PQhckTudeXpnlv4wh1TZ7LgRSDlZrPMeiqQ3X7LyosbWp/mcz3WxYSryaaCZiWPyHHsNk80eaxduBeaU8rHDMOj4ZtdV82D7NvDlqSZOjN9Xl8f7a8tKQXVTXy6PajF0qr8fWWWRB8v1fBYU9gtZJehKlrbSqwFBjdvy7sCJQz342UB99xZVIC/QqXJzQL0W/tqThZxlnXXKGKgNfqUTrevUe1QaqSrZWzOp6sBd5kFMaaEuhWZ35E3z9MzDqm/DRV0b7ZPMHWXlo+52lMzkR5fGxUoM+zSb6IRUlXmHKPAGhXk7cwDIGYOnWFHoOtWAYoR46WIrnKvr2R38vpytEtQxVwEp8ctCT/aqWLDw+qSOqj/qsV11sBbK8d4++/XMaTkZcjKrCI6wgD5iKt9F7SE9Sh4dH9qmMu9ZAYzTGcBVkZUk5cuYch+fxFSOTttGtGSbg8449N2jE+rvvkYsajKpX+NpK5rfG24snr9742Vcl1nCQP9LAm8C0mMnEoBbb+MPzvrQvH2upEGfME7jtebPe0DDQgvXJlisyp0a0cfVaTRR2Da1VclqpHX49FqKKBy4NaNg+zItTz+89PdUoUov+5nc3mCf7xz4edpVYrPTSrEvtdkfLsjmOSuViX3h5i5ruROHkVTnbaNVz+eAXP3j9jlB7UvXNFLHR9PKFZMNYuVGTQuG6uCwFUpDTZVjyk8cC0x9h5hQZrjJ22vqIvlHhXnc3miTME7jIsTD294xzCTwKnDEZcUQVCPhN80oDW7WPc0lc+BpqPUZs8TlshD1BeAyh0QsyjT/nypyv4159G//3q+Y5RWgrIP8kkF6aq+ti04Ex+XoZ3k5QD3XjwRquB5z/xG6d22jW80Wpgv2cvFk4W97786Yo1IuA7Pvp6QkMxjWlvXwrbpt0xFWkw++hc65n+GDuvsOiqT/ZUgDQCwO2Nw8ED7yp0ciWJ+xzbrBdm6M6xDoln+t4wU7J6SEK7aR9CYKR4K1kYkDdp3qf4y1zEFnUx00kp+RSvlTHhP7TwL0uhoO5eu67XTrtmLI4axdw1K15NvCIkOhCpwkCf4yd6FqXoyqeo1VZI5FsUa5uDsuzXtX9VTJznPhYxppnGZEWyMDekyPg0evjiymK81yy6mhL2FVeYwS4x2jjg6tkTrfclXnBh86wki1Vs2yoLJq+l6XPd9e/A7A1ThCS0m/aRNCji3k/lqUh6OoqQ4Ip/bmsksdepGBswuJ6FMib8h3p+s3iKTeLhOtS132ye4FWL2Ldq5vFav4hQ/z0x+HcgK0ZjtYzvLCkPPh49WxqNz+9PCYmDbmS8va5JGYhIP+M+hVNFeUJ1FDGmuaIpyb+bpOfSSPx356c/xs4rNFj72EIYr8Wq3H2NV7W9nXYNd9ujlYSqw078RXO9hOrvX195jNsaHbkyGCIKU3hbpxV7o9XAs55qDHkrTEPSPdT9e+vLpZQ+XwcCb305NGhd6QQmRYUnPQx+d65if65MxpYc/N903lVZUQuwoY6pHGmAYfp+yDMfEsKLT0631o+xajgW1Z3t1voxfvvCgacis47pSYuRcuAaN3zTU5LPuSusHxGNFVIC+71oLNbJqbn2azuHsqe32AxQtZiMn9/2gyVca/rYAVEzEjIeeGX7mCp01+oSt9aPB1XuttzB5PYAs6fn3qPaSOV8CGXvRmHK2Yx07Py8XibyFMb4qC0oovsnsG9QItjvCe/K26SiwrmKxEE/l1L97pSQqENqxavtDL+fVKgoO0dymFvX7tqVAkKfebM6x2hagM7T+fYlP3WJcxVpfD5srNXDCkTIbGHS7FT4jBs6hRMdccPWL6wfKWRICa+xxjRmrlal8xzKPE/Fx2SlEhDvHvnR4+pICtZeR+Buuz4wun1qCEjx0MPaxzfsqF+ZJbvdRGkAwHjbcZYV04vsayzaSHoeQgqmzPvPlmJhMsyV9zVO3IO+UkUqVPxUCjxTlZZQs5tQD/S4i81suArRsh6b+t1eR58ukdQEvtbsYPvB0sh+fL1DIsMrzFSA+UZpcyot3y4i+aObu8P30qcIM/kMrlZ6Wo3r+LNkTmuLewSjhbLPQmtZRN2cdPOilCiVxnMW1Jh8Z+MISwKId4/UpWDFz8+k/gNQIWCc0GDt45qk1ER4o9VAQ0QhFfW9V1a6Iw+vBHC3XcdOu1ZaaaG82AwKl6C7Hek9QIcKXJvUFlYr0njfTcLzzao0LjqU91WHTYlivysGA6hfvlQa34VQUeLgWbEt5LIeW1KqJp7jq+6rCuf/6cpjbF04xt12Xbuf+AJj68JxyqgFzHJ0cQQkKn2DoapJBSLzha2NsMLlxIjPNQBwe+MIn790gHcciyh75M9PkqnaH3/j74tuXnRpYM8SefLdZ6GeZJ6gSoAHrip+V/vVMrXHLALX9bC10lwW6ZV5nJAK99Dq8dCWfd/73jP4t58fplrAnhIS76yrcJJ+zac7BlfITnfu0STkPwn4Vp4X1aI3K7b9A8h0bKZtbjSA//RfpStZTd+v9DWND0buU/qZsd3/IWkx8ll+96fNNFQCQqrSfdoIu+aLN1qNkXB9vN207Rj9FC5GjynZjOO1RPqCibzjR5nUHlyKAXGS51dGFZZJQpWAEuIK4dhWzGVPPs+C63qYPJlrdRmkduAqRAtNt8hyLzabJynPxjv930THqj9XnbfDpkSRTPRX3pXTAekBOg+0yQs+7VQVWwpO1mMz/X33SPux8fu9foV/vOI/jnrWbfd/yGyHTRedUG+/T5MI27PvKvI0YWr/ayftdU0WDJnGEJfyzSzhG+3UnV8ZVVjmGRqsBuIvqiu52qfj0jw91C6DwjYgF6l2kCXdwnYvkoPzbx7Yf7PZPDG+QLqJy6ZEoRonJCfHJ5ZJqNpPndDlYz7/yUpKjstHJH9SqSq2xUPWYzP9vQJoDYw856oWo1l/S2aD0K5sP9XKosn+5xG2Z99W5BnHt4lIKMlGAia1Fx/lm1nBLVk1H46meYAqARp8RZTVhFemnvWTwNXzPFkVbwqV5K0iLfK66yp3f/Y74JeXatZjNBXm6wq8bEoUKrXEv/2fxHsboznW8ePX9fGO9wMvwzNruv+uY9OF4QDgSQ/Qifp3Aa0CgW8lto54F7pQY2HW89cXiVBvvwqn21QCgHxjn26sitQv9JgaZuiIP5uhai95lG+miZqvrrcaMI23bPBRDuhh1WBvIhBhE/7faGCuV2M2D6quYGBcXuUi0y109/xJD87wrS39IUmkHJH2vrgUJUzbj5+nzzMb30eZU1Vsx6bz+vxdq4HrrUZfJkx/DUxesUj/NcyAjL/7WxeOUc+RtkHKTRZv/631Y/zxymN8feUx/njlsVdOqMJW5KkwFwnpfivxVyvdVAGr+lsc1UrYFVk0qa3McuSgDOMecUMPqwZb6FYAWo9hfMUcJSLP7wtg8qAC8NIlLfpYith21rzJEE/lv9+vwZQ3dgvHRg9smvT2fScL1Q9cPb9lHahNx6abrHue3iNduDPUu1pNiP6rd+GtL5cSYdvRcKlEtMhYtKKMWWfSkYjttWNtkef22nB/YYahwD8/rWBFSE3XNYEqJHqI5jRd++cQZj1ysGrQVTY1EiGThx5WDaYXb60u5yYPNS+6vM7QfK8ykSenc+iliwrJDmVkWMXzJnfaNWN+mi33V0cFwI1WY6QIwn+yGO0wNmn91bzk8eK4wp0RkWTdKej0cCXO9ievZBecty8d4+u+V+3OxhFWxLCLlwSwIszG6jT1cImdSUcibEWeCvO7bh5fTDJUPWAwht97VPM0VtPeXBGLFM0qb19KR0vqKKadLCkGGqwasvQuJ9OpPC9qstfd89MVWO+58tINQ9Gi74NPFzlFRrv+OsRzf+OTY7Pa04SbJXr9/cT3YWpoYWojaDrOspPVi5N8f03PpADw2YsH2LsS6eE2q3HDVWC/V8Gbuw1rQdtHj6t9SazhvwNZweut9HWeth4ucTPJolkfmSQ/dYohF+vS+N6sVqUzBUC/r1GjVUIMtMdnlc3mCd5NFAK75MTIZKEOq4E8+mpl0pibJJPW9gzVVfXZXvye/+JyBT+um++j6XzjqHM3a/1J3LEMivFjqgDant9qHzvtGrb2lvoFV6P6ii4t10npr+bFP5QvsVqR+LYnsN4Q+IfnDr01fFWjANs116Gu4ffvnzH+Jnmdzc+QZAqBhnkeW3faNW8N1ssfr2C/5/Y3qfEQQOq9OSX8W7T6Mos6rCQ7k9Zh/v59IgAAJX1JREFUnd3l0Jgpc35fWZl4vpclBSHLvUve8+hljP5/3QLGx3O81+/cZMtPVSkTumOOH9Nz989of6+6Q20/0Bmr0Py3fhuzgE9Fr0DUglUVu+hyynXPqkB0j+IC7CHthNU1tP0meZ3N111MJAeclAeTBmtUwDr6DPz16gne13bVipNcvI/WHRx0gX1ZbJB1VsYRMpswJYAUxqTzvSaVgmAK264aKnpHiYyOq2dPDPmp6TDw3/x+Gc/ePzP49ze/XwZgDoevVuVIS1I92TRMy8hm88SozlCFxO2NI2dldvxZVakTKk0iXIA9Ql1DW2vi5HV2XfdZyQEndmypS+pvphx32R9D4r+JBP7tz+lqZVRJJJnaYMpr9WM+W46TckODlRTKJPO9JiV+b/LkSgmvIqlDGSkBxA0k3Xe2Hyzhb36/jA8PqojnP354UMXf/H7ZmFstpb3dLRBNXr4dxmYB07V4LyDnTD2ra3V/ncoIiarlGurF4yNjOnmdfQrt6LWaPXbaNVz+eGWw6LxuyHmOL4ZtBmhy4eLzTOz3BG7umhc72cdJiVdWuqzzIBOHBiuZWSZVHGeaHL7tiVSRlMnzoDoj/faFA+O0tNcRMWM1TvS5yYPt8pQsi6jStagOY2WgSG9+uEEocLa/AIjvG4hyUj94WMeKiBe8SayIntaYTnp6ddBrNVuoXNQoxzRefDdEGaC++snA6HPq90wIfPCwjpu7S1rvrq8qySgSr53v4H//Lw9Lq+NM5hfmsJKZxbejVl5M+adqtZcuokl/Nz7BrFalthOVT65pyPFFWxy2TEzm4d6e8QrYovLM/fVvh3zbE/j8pceD/04Wgx1IYS0ANHXrmnb3MZKf7QfpXFQdoQul+Bji26VN9o1WFUFI5kV/9Lgz6MpVQfS8PZEC5yoSB1KMaLcmc8Pnvc4jT+E1GQ/0sJKZZhIpCCZPRFeTW+by+u60a/hOa6y60eXS3mg1+saW3lOiWiZSPsmM7p4p72gy9K9IerhCNIhN9wIAvVZzgK8hapObSiKQbk18KNF/Ps3PKQAk013Uc7nTruFuW7VZFej1/93eOMLnLx2k9GB9csPjzLK+MMfLckJZqzFAyY5y47tyjt/HnXYNr7caVlkpn+37SGGlkbh8qoevT4SXlI3u9xHuY59HdO9j8h5dPXuCe49qqXvmK51mki0TiJqNxJm0/Ns8MQtjq987Hsmu/fWqu7tU3LNpeh6vNTsjnlQXArIfWSj2OVTv1V5H9JVa9e9NkfdxHJ5QvqN+TFrWih7WHMzyCnJRybpy3myeoGf4m5KVinc+2rpwjNsbUV5jvCtVtgIa0TdWsxbf6KSuhse+aOiegbvtOrYuHKc89b65siEFgNNosEEmx9aFdMekiHgTj2jx+cHDOg4lYIqQVPvG6r1HNTx3/wxeb6XTAA6lwK8fqj3qIgVpLtal8XlzpceY5r1kAZnJs1sk4/KE8h0tJzRYM8KQwWySp32sj6yUehbeaDXwpub5OJexL3VkrBY/WC5iQU/oM+CTdhJSADgpdQsyHVTHpNXKsD1vs9rr96Qffe7kYDGpf7e7AO6264NxxNSQohvbjkpnWav38Or5jrYDXrsD41gkAOM8Zpv3fArIijb4xtUOnO9oOaHBmpFxvShkvORZOYfISnUwWrAARN8Rwk8Kqxjs+7EV9Mxz9GAc3pMQ1QK2fp5/Npsn+PylSJXj6yuP8dmL2XRPBdySdUkkBKqInud7j2r4y9NdjI4FAk9QwaOePvddwjyP2eY9n/enaINvXJ5QvqPlhAZrRhgymE3yrJyzykrF2e8Kp4xRklNCounVpMCXyONjq2Cf5+iB6V5XgFwGum8B4KQbbJBykMVYy/rWd/sh+b1OBf+klcqztxwOnd9U/qiNcRh84/KE8h0tJzRYM8KQwWySdeWsPI5Rm0Tg9sbRwCgJuecX63Jg2NzZOPLytq4Iie21cM3E1Yo0dtc6tBjZ8x490Ks+yJFJftwG+iQbbJBykE33VI/oNwCxqQMosnRuq0CfFmCb92xqG+My+MbpCeU7Wj5osGaEIYPZJMvK2eZx3GnXcNAFkr6QOiROOZ4PH9F4INL89P1ufF9vXzrGr9aPtJOazQCdh+hBPKXhBx+OTr7JZyC6PmkD/a0v9YLrhGQh/Q673+NmVWoLuCSAV8938J7note2fV/JPsA+7+nG1tsbR/h6jAYfPaGLBWWtcmCS05gF6RXiRt1Hk8RJs9rDYU8kvJFR+H57LTJMfeVWbFI4SSkV03crkOgh6mXfBbDW3+eNVsNbcsm2/Wp/+2US0Q4R4DdNZCZJKiQMWds2yGQow9hahIySj/SVet629pbQ7qa/KyAHSiTXWw3YizLTizJlMK9UgIMetL/XyTgVcf5luI8kP5OWtaLBOgb4Ms42wwG5gov1Xl/mxW3QKLJo9e20a3hzt5Eq1KpA4lxVYr/rNsiuNTspTcdlIdEQUqvfajpOndZjGY03kyblckVqJ3jT+YZo41KHcbpMe2z11eV1YVskCYwuCs3fHT6Pz94/A5PBqsaG//BtLdFhzx0xMS1q8zLt+0iKgTqshEyR0fA/sNepBGeAZQmdbzZP8M76EZrVYbjwNHqoCaDd9euIdO9RTZt7qlMmsKWv+IbMp53Tasq11be9Nd8XU05ryDbIYlBUfveqoYiyWZWpnElbjrzSTK0avxEZ07fWj/HZi5FqwVpdv9A2HWeWtJh5Vhkh04MGKyExdBOSHGgbDlkWsq+rmCZr4d1m82QwqXx95TGadWilsd76ckkbkjMJfre7AteanaA8r3jBga1hwjTJ04s9ji4PzqTKwKLKxaao/G5TYFP3+daFY2MDAKWZ+tPzHaQXWdF/qzasocd6Skh81xXBaiGhKiOTNm5pTM8uNFgJiWEazCWQMvjevuRXeJd1gDQdy34vPYnc3LV5eISxk5MPZVXEMDZy0KgjuAoikxXBOlUGFlWSot4FkxSe7vPN5gle1RqkQ83UW+vHeO18px8NUf+iVKakwehzrFVIrAiJTobISogXetISevMu2Tfv0GAlJIZpMF+ry5TEiU+Fap4B0jyx6Fsz2sJ8eUL4ZVXEMB2XUkdQ92WjgeAcQ1YfEx1FvQs2LWDd2HBr3bx9tbC9tX6MPxpC/vH33yWvtSwk3tsw60u7PLQhXuhJS+jNu2TfvEODlZAYoROSS6svzwAZklvZdW4tewi/rMab7bji9+WLV5DpWKnDSJIU9S6YjEaTnBSAviGaJmn8ugzG5DlEbWPT55PVmxzyOx/jtsgQ/jxI9i0y9IMTEiOaeI5GVAJUjmgWOZc8A+TosUT7fNKDtqhISVnZyBPCV0Zg2SjrcZH5Je8zp8aRQwnolEbUgja5j60Lx1qFguRi+mJdavPZ4++/zzn47i/P71zHmlRl2OuIfuFpepHgMz77XBtSXuhhJSSB8qz1foyBZy1raD+LlyLuUdh+sDSSe2rKrfzp+Y5WYHzI9EP4hCw68XFE5Zjq0C1ofb27RaUtJBsdVCFxKNNFXFmP03SsAhJXz0bf9Y1Q+Y7PZU1vIn7QYCXEg6yh/dAB0jXwbjZPcK05LK6oItJYvLV+jHc3jmBKGVitSGc3L1PYjVW1hBSDbhzRYVO0cKWpuAzGkPd5s3nSH8OidAVdEVfW41Tfu9bsjKggyH6R6E675h2h8h2fy5reRPzgzEOIB1lD+7qwvi2VwDbwKk/v3Xa9P3lEaQB323X86EyUEHBKAE8Tc10dUSGSCVvYDYB3SI4QYscnFagIj58p5B8SYle4xqS83HtUSzVGUNv3DeGHjM9MI5pdaLAS4sG5isS+pmrWJ/cpZIA0Dbx7HRHLfTN7EpK6rQDwTNXuXXVtc5yTFSGLhMkAm1Tb4yzG57gLlWzbv71xVFjeLpl9mBJAiIOddg0HGkOwnjEv1BaSs0lZXW81jM0BvuoIs26rofNT/Leh22RVLSHhmFKE3ts4mogaRZb3edw6zLbtTyJvlylPswMNVkIcbD9YyuS5BNKD4c3dJWuOql0j0VykcbEuxyJDU9amAYTMItPOoczyPo+7UMlUeLXXEXj50xUAyJ23a4KNBGYL3hVCHGT1XOryxd7XCPzHQ3Iq5/V6q5H6non45DEOGZos2yRknskicaeYZg6l7l2PV+XrCM3DDyW+/b2OgAAGOa0hOfNZruu483NJsdDDSoiDrF5GfUWwPUcViAZek0j4EKkVy8/iZXAJ8JexqpZhvMVl2vd+lr1yrqp82++SXs4i74Pa/lpdGguwxgFTnmYLGqyEOMgaEgsb9ERAakDU9eb2RlTFf6PVGEwYWbsz2X5Xto5Ps2wwkHz85gGmfu/L0t4zq8Foq8oP2bfvfQg5zkkbkEx5mi1osBLiIKuXMXTQi08aap+rlUi0O86yiEJ40564p0VZDAYyebb+YFatmBQ2JY9JeX3zLNqKMArzCvr/5oF+u5M2INlIYLagwUqIB1m8jC4vqY6v+qkBL3+6ghutBlaqwGvnOylj+d6j2tQn7mnBMN7isnuk/3yS996m5KGMshutBm7uju9dzLNoK8IozCvov/UH/XYnbUCWNeWJ6KHBSsiYsHlJBfSTw7mKTHkk7rbrI+1ZN5snC220MYy3uKw39J9P8t77LEQlBD54aM8LzUOe978Io9D3HTQdj2nhMU4D0pSaULaUJ2KGBishY2SzeYLPXzrAnY3RQfjV8x3tpCGEX8hzkY02hvEWl+0fYur3PmlUmdohSwi89eV4vKx53v8ijELfd9B0PKaFhzq+375woM3Rzwrz3ucDGqyETIDkKv7W+rF20jBJZSU9FYtstDGMt7j85AJKce/j77NN0WO/J8ZiFOV9//N6FfMK+m//0L79og3MovLep61QsegIKY0v2w8A/MvDh4/R682/16ZIvve9Z/DNN99N+zBITkLvYx5tRsXLn65gr5NeR67Ve/jtCweF728R4Ps4P5TxXu60a7jRaqQq7xW6d7eo/c7C+687zr+9vGy9jyHjoA/P3T+jvT8CEn+68thrG0ldbSAyvhd5sVz0+1ipCJw/fwYA/gzAF8m/c3lASAHomgT4Cl7H0Ql7AxIHXQxkqxRxoWw1KdxoNUo9eREyb2w2T/DR4462KQiQLa/cxxidZgOCEHyOM3m+thbUWTBtMySFik0Gpg9TAgjJgQoRXW8ljcxsIScVamtW44VaAvs9u84h87MImR631o/RrBaTV+7zPutC09MOV2fdv+58TWap7Vra9m9KTbh69qS0GrEkDWc0QjKiCxElyTKYbTZPsP1gCe2u32qeK39Cps/2mr3Fsfd2HO+zLprz5m4DUgKdDC1Ni8AUYfrocQf3HtWsnmLd+UoICIx2vYpfy6RH9urZE9xt17URruE+gCokuogar9h+o7tmRXhpST7oYSUkI/rWq6NkHcxCVvNc+RMyfVTb02pfOaAKiWvNTrDB6HqfdePOUykGxqpikrrMJiP7/Yd1Z+THdL4SSBV1AcDzn0QRrfh2P3hY1+7/rS+XBt5bQKALgWUReVxDtawXudC1LNBgJSQjLoMwz2AWIluzyBJXhEyLZAj65u4S7rbr6EJAGUd32+FarK73OWQhOqlFqynnNJnTGyLRVwVGPLNA1Ja33a2ktmsqeNvvCa1R+nqrEZwnS3WS6UODlZCMmA3C/INZyGqeK39CJosu79Lk5fPxcsaN33YHSGu7RiFsIGwhOqlFazXguz4SfYBEN9Y57Oe7DWztuSNavqhFhQ7bNWOTgelCg5WQjJgMxTsbR7kHs5DV/CRW/tMu6CCkTJjyLnW4vJxJ4/cJ0h5EQODeo+id0407p4REHdNbtHYDvps0CJPjV5RSkTb8kzn9SZLdA5eFNBbCmdBdM4595YFXnpCMRAbh0di0EENka8YpcVOUZBch80JIqN3l5fTJhY/v0zTuqG1NQ5d1zSJFFeeUiCT6Kv8RuFhfGRxjfPx67v6Z4P0viyhfOFngBcBZGBshsaa5Zhz7ygUNVkJyMCtaiHmgCgEho5i1Qke9gz5eTl/jN274msadab2Pev3oOBIrFeBpD9iXUWBXhfqTxp/p2q5WJI5ksnW1RAXAoQTuPaoZjPShcV+BSgcYZa0utQ0JOPaVC6YEEEKsUIWAkFH0eZcA+nJMIXnsPnmmZc9JT4b1m9UeVivDFKU7G0dYrUovJQNTqtXbl0bbWa9WejglgF4/H9WkQhDPO31v4ygo399n7GPKwOTglSWEWKH+IFlUTB2nVFj+9VYj5bGTEMYWorrt6byTlX4+Zg9RQVMWeaxJ44o23Wg1tJ8njUJXqpX635c/XcF+J8z7GZrG5Rr7mDIwWehhJYRYoQoBWURcHac2myfoGX6r88zptvdGS1W/Y6DfulrpoRbzHGaVxwo913F7CUPk95RX9PZGpL16o9VIHVfWyE9Ipb9r7LOlDJDiocFKCLFC/UGyiPgYIyFGmG57HYiBrqgStQeiRgC2/RbJpFo7hy58b+4u4UbLfFyT0J92jX1Ml5osNFgJIU6oP0gWDR9jJMQI8zFiDqXAfm+yRtCkvISjxh+wWulhuSJT3tOddg2XP17B+w/rKamwQymwtbeElz9d6YfqzXq1RR53fOwDMPBGmwwopkuNB+awEkIIIQl8crdVTuTW3tJAJ7ShLcayKQv4H884KNJLGM/RPVeREALY747KTAGRmfltTwwM0r2OwI1WA9dbkcaCSdMWANpdmyZrpFd7C+NJV0rmrEb6s3ZlCFMeNAmHHlZCCCEkQYj39LCnOicJ7Pf0IXWzskCStOdQZwQVlXNaVGg9mVqw36ug3R2G89/cbeCNfogfSBulsn/9bMZqhP3v4wzH6zVzBaqQ2pSBSaVbLAo0WAkhhJSenXYNP/gQE5MP8s3d9g2pJ7cXyTKZjMJijSCbgVtUUaWrAcJTKVKyVuG4jehxhuNNxnAP0KZLsSirWGjmE0IIKTXDUCwQaW5ORj7IpzGIK6RuCgnvtGt468slPO2fUxJlBCUJFbN3SS8V1bEvT7qDDwISy5B4YjF6x61ecq4itTnGJiOZRVnFQg8rIYSQUlNmT5XJWFmtSuy0a4MwuPKGXm818Gf/zwre3G1gvxcpBOioAFqvaagR5HPt8hZV7rRruX2nZqJGBLc3jvDLjeN+Y4Y0Vchg9ZKQ1Iqddg0HGg9yHWYjeRJKBosEDVZCCCGlxseLOa1uQ1sXjrWh/e+6An/fWtKEwQUOZCUlXZWkC6EN9YcaQZPw8m0/WPLIPQV8Qvrx76ouWZ+9eDDwBpu20ENYa9rQ1IrtB0vae/ZMVRr3Sw3rYqHBSgghpNTYjLRxFLaEGMCbzROsaAzWDoQ1fO1DSOvSrQvH2uOehJcvzPj1269AdK7bD5bw3P0zuPzxCp7/ZMX4/dDzCfXam85x36hYQA3roqHBSgghpNTYjLSi0wWyGMDfGrRTi2CvI0YMUJMRBEB73FfPnozdy+drLFYBuKr8FecqUqs6oPu963x0hnyo5zmr4U8N6+KgwUoIIaTUKCNto4GUp6rokLfJAH69ZTZazUZLEZ5H4R2y1h33vUe1sXv5ti6Yc0vjZ9H13F4dkYarTXUgwn0+ugXIm7sN4xZN95Lh/elDlQBCCCGlZ7N5gr+9DHzzzWjlvI/AfwgmQ1fllKrq+qRIflJAfojp83AOpcBbXy7hSIpU1f+h4XS/6ggvtYM8bDZPcL1l/ruAxKvnO7j3qOalJvBMVVpD7XFU9ykTOkPelD9sM0CLUlMg2aHBSgghZGbZunA8ItsE5PN82TpSxVMN4vuMpI70FmMFUUGQGz8DbX/QpGD0uKoGD+YkKtJ32jVUAe3+q5B4byMy8n/U7qbulQ7VHctl3FY9js3X0+6jMjBuw5/YYUoAIYSQmaXowparZ0+s4e2vOsLY8ShJBRLLFcBdaJTfqOwCUwlZq5B715BbqoxVILpX15od5zaV99LVGcwnxcDXYA9VGSCThx5WQgghM01Rnq+ddg1323WrRNPFuvT22vUAHBRYkLUsJJYrEm1NuLwK4FBi4GldG3PIWqVERF5Q3fHoPZb/4Vu72aGM7HgI3rSPNYsxGj8+AemU3aI2avmhh5UQQsjCYJOscrUXBSSunj0JMG78jVWbIH7cc7y9pvM8yr6HU6ALgWWB3Maq7TrFC5lM59hF2mO5065pjW11DquVoXdcdQIbpgX4e4+Txych+tc3akJQt2zLdd7T0vsl9LASQghZEFxtSt2e06jqXpc3m4fVisRfr57gg4ej3t1lYcqrHBb/VIBUOF6pGtxoIVNxkOs6uQ37yIxVMlyKKP/X/LtHPYHrrQa29iS+7Qr0Ut+NDM3VisTbl8znpDs+CYG1eg+/feHA2i7XdN4ArNeEjB96WAkhhCwELs1WH8+pqrqP583qvHYumSdFBZHxdWv9GLc3RnNxrzU7A+H8uEcvru1pyuPsesph6XBdJ5+UCIm0Fq79d2LgJW53KxpjNfoOIHDkMJZN+9nriIERrdNGtZ13mdsDLwo0WAkhhMwsIWFal2br1oXjlOGZRBm1caPnsxcP8G7C2Hz1fMdZNAQAyxWMFCWpbW5dOMbddt3awGCnXfNKOgg1rFzXyTclIrmdovJEXedj08W1Ge+283YZwWT80GAlhBAyk4R2pXJ1K9psnuCZqtmocul0xr12t9aPR7ywJiWAgx60x+vj0dt+sOQsJlKENFJwXSefCn4g6lYVX0zoum5lxWYo2o7PZuyuGu79xbrMbAST4qDBSgghZCYJDdP6dCsyC9bLkRC96m1v8+zGjdim0RDWH69PB68ijFAdruuUTIlYrfRwKvH9OiQOpBhZTNxt13Gt2cFGA4DFiPfDbCiq4zNtX3fddto1fKe596f6553VCCbFQYOVEELITBLaltVHs9Vk2DWrciREr3rbJz27phQFabHNdMfr07ve9J1k/myoHqvPdYob45+/dIB3Et9/pipTHaVUq9gvXlGSVGaD+5SQOI0ebIatKi7TLRo2mydG2Svdddt+sISO5nhWhBzIpoUawaRYaLASQgiZSXyMuiSmghuFybsopb23/aEU+LtWA2+09CkK+xY9Vt3x+niDTd959XxHa2yG5Pu6rpPr+yb5KiVTZTfwJN5ZP8IXVw7w9ZXHuLNhNhRtxWU+11BhOp5vY/ct1AgmxUKDlRBCyEwSYpD4YvIufuvRAKAHkfLSHUqBrT1buFii3QFu7i6NGJMAvLycuu/cWj9OGZuh+b6hJI1hk3Gh2qmaDTyJ1853UudpaxKgSIbmQ7qg+S5+xvHMET+ENMcpfgDgXx4+fIxejyuHEL73vWfwzTffTfswSE54H+cD3sf5QXcvTZqaSXy/Z+LlT1f6QvRZsIe/dd+JujMV17HKdPxKmzQPSf3SCNM5S8gfC/zbzw+1v1kSwP+oMSr1+0gjIPGnK48LOQeTDm7eZ2leKHpsrVQEzp8/AwB/BuCL5N9Z1kYIIWRm8WnLahKE/+hxB/ce1bwMj60Lx3ij1dDmORZDWug+fqx5BepD831D0DcS0G9X5a6q1qtvfbnUT5eI/h1LaM833qrV1DAByB6aT27f9jwU1QqYhMGUAEIIIXONSU3gg4d2ndM4LskrMz7eVTvJULcpF9WWo5ol39cXs9FrD51vNk+wUgWS18dUdR/Pk/3p+U7u4jLb9n3ydslkocFKCCFkrjEZVEkNU5c8kVnyykR+Y1WhzkGXi3qj1cDf/H7ZmqNaRO6lySC2KSu48kdDPb877Rouf7yC9xNtbEVfdoxG5vxCg5UQQshcE+JFtIXIbYVCemyex+Rv/Dps6bzFEgIfHlS1XuS3vowM8JACJB22oi2TMby9li7+Mp2Xz+fqGPZ7FehSKO49YpbjPEODlRBCyFyjM6iS4WSFzbi9evZEG4ZerYSF1dfqEncSrVxf60tRRaaX2RNqNqj1n+/3hh2h8oS8bU0a8hjDIZ5ffa7sEGqhzjdcjhBCCJlrdAU1V8+e4G67nqoKN4XId9o13G3rw9A/OtPFjVZD2yY1qvZP70NXuPOjdhfbD5aw1xGoQqKLtErAxbocaJn6MTQq8+AK3dsKkZJV9b+4DPy4jsHvfIudXAbpxbpkBf8cQ4OVEELI3KM1EM90vY0bUyj+3qMabq0f46PHHXyQyKtcFpFB66NEkFQy6GLUuFVsXTg2GscmivA8mgxlV7qFTqHhZ78DfnmpNjgv36p7m7G+LKJFiE4NIq/CAikHTAkghBCykISEyF0exlvrx7i94Sfir8MWck8e86uaCnkbRSgBZC3a0p3Xkx6sxW1AZOg+/8kKnr1/Bs/eP4PLH6/g6tmT1DEAEs1qdK3vPap5XUMym9BgJYQQQqA3klyV8EW15Ayplo8bx65iraK6MG02T3Ct2UG1XzBW9azKz6L/utOu4c3dBtpdVVwlsN+r4N89rONac7Tt7J2NI3z2YrQQGKfWLJk+zk5XkzsUQgghZDr85gHwP/y/wNPElFgH8P4L0f//s99F3kHF6Qrwj38O/OSC/venBPC//EX0dxc/+BBoHaU/32gAX7xiP+7kcQlEZuxGA9j+od/+Xej2Ez9/E1nOy/Qb0+9+8wDY+kPYb0ip0Xa6YmvWMcBWkPMB7+N8wPs4P4zzXtpar6r2pbaCnuc/Wel7BEdpVnv47EV369OQ1qC634670Chra1fdeZ2uAL+8dGg8xufunzHm6CZbr7patvpeQxIOW7MSQgghE8YWNvaphG8bmgqYPk+y2TzBR487+PXDOroAqoC3EP4kWoVmDbfrVAB+cbmCH9ej49UZ26tVabxuyRQMs9SVTCkskNmGBishhJCFx1aBPgm5JCWb1cVQJeBuu44fnemWwuDKqhIApA3qyDOnVxD4+W4DFWNebjof12QwC8Dq+U1COazyw6IrQgghC8/WhWOcSlWgA3UM5ZJMbU8BWJsHqO+ZWpsC/ioB06KI1q5JTOd8YGkOkDQiiyiGs3XxIuWBBishhJCFZ7N5gnfWj9Csqsp7idVKD+9u+MklvX3pGPqK/eh7qvI9bhS9GTOKfEPuNqN3nORt7RrnNw9UTmxY9f6axggtwpAu+2KBRHD5QAghhMCcC3qj1dB+P25MbjZPcL2l3+5XHYGtvSU8TRhFT2X0+WbzxBhyl4iMO2WATVMYv4hc2Z12DX//JfCkZ/aXrVYkjiS8upCFdMoyQTms2YAeVkIIISRB3JNpmigrwIiHU+cBBKLwtKsoS+cpjBh6Y7f2Zt8TuP1gaUQaK8mykHj70nGQNzekAYSOcWvskmKgwUoIIYTESOY0dgfKpqN0IUZyHfOEp+Mhd92+nkphNHpnyRNoPtZRwzSvERrCOPJzSfHQYCWEEEJi6KWS9EZr3MNpy/M0FWXFP1dGWijnLAVf0yaZc2s61rW6HLthaiJrFy8yWZjDSgghhMQI9Vgmc1l1hs7bl47xRquBTkwQvw7ZL9bKhyihg3WnXcNbXy5hvxe1VgWinNtTQqIOoBP77rS9mWWXFCMR9LASQgghMUy5i9XA78fZbJ7g3Y1R7+u7G/q8TJtElo59z+YEk0KlVOz3KgDShWZn6yhEbaAoqBIwG9DDSgghhMTYunCsbZN6rdnB3Xbdq3pdh2+Vvc4bW4GEqVapbMVB5u5TEe0O8Kcr4akP44IqAbMBPayEEEJIDFMu6q31sOr1PPtPemPPVSWS3koAEJruT9PGZeit61XCpgZVAmYDelgJIYSQBCZvaBFapFn2/9z9M9rvSaS7P00bW5vbZSGx/cNyeS5NHvWyLQQWHXpYCSGEkAIYZxcqk7fPpP06TfSashLNauSR/smFqRyWkSK7eJHxQQ8rIYQQkhNVaDSuLlSz5AUsovvUpJmU55xkhwYrIYQQkoOddg2vtxoDWSSFqjS3GUI77ZqXYTdrRiANQFI0NFgJIYSQjCjPatJYVdgKkEK9sjQCySLDHFZCCCEkIy4JJ1ulOfU/CfGHBishhBCSEZsH1ZVjSv1PQvyhwUoIIYRkxNwVSzorzan/SYg/NFgJIYQQBybJKp2E07KQeM/QdjWO6bdlrPwnZNqw6IoQQgix4C6Oyla9P2uV/4RMExqshBBCiAVTcdT1VgPbDyIj87cvHGTaNiv/CfGDKQGEEEKIBXMRlMBep4Kf7zYK7WpFCElDg5UQQgix4CqCohQVIeOHBishhBBiQVcclYRSVISMFxqshBBCiIXN5gl+tX6EtXoPAKWoCJkGNFgJIYQQB5vNE/z2hQPc2TiiFBUhU4AGKyGEEOJJ3NsqILFW7zkbBBBC8sOyRkIIISQASlERMnnoYSWEEEIIIaWGBishhBBCCCk1NFgJIYQQQkipocFKCCGEEEJKDQ1WQgghhBBSamiwEkIIIYSQUkODlRBCCCGElBoarIQQQgghpNTQYCWEEEIIIaWGBishhBBCCCk1NFgJIYQQQkipocFKCCGEEEJKDQ1WQgghhBBSamiwEkIIIYSQUkODlRBCCCGElBoarIQQQgghpNTQYCWEEEIIIaWGBishhBBCCCk1NFgJIYQQQkipocFKCCGEEEJKDQ1WQgghhBBSamiwEkIIIYSQUkODlRBCCCGElBoarIQQQgghpNTULH+rAkClIiZ0KPMFr9t8wPs4H/A+zg+8l/MB7+N8UOR9jG2rqvu7kFKafvtfA/inwo6EEEIIIYQQO38F4P9MfmgzWJcA/CWAPwLoju+4CCGEEELIglMF8H0A/wnAcfKPNoOVEEIIIYSQqcOiK0IIIYQQUmposBJCCCGEkFJDg5UQQgghhJQaGqyEEEIIIaTU/P/FxXxSGgPfVgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (12, 12))\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c = '#00B9FF')\n",
    "plt.title(\"Dataset\", fontsize = 30, fontweight=\"bold\")\n",
    "ax.set_xticklabels([])\n",
    "ax.set_yticklabels([])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "94168464",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
       "    "
      ],
      "text/plain": [
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       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
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     "data": {
      "application/javascript": [
       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
       "    "
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    {
     "data": {
      "application/javascript": [
       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "98.9 ms ± 11.5 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "%%timeit\n",
    "\n",
    "kmp=KMeans(n_clusters=k)\n",
    "kmp.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f840a6a5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "49.8 ms ± 3.35 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "%%timeit\n",
    "\n",
    "bkm=BreathingKMeans(n_clusters=k)\n",
    "bkm.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "6e697d9a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "\n",
       "        if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.cluster import KMeans'); }\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "KMeans  SSE: 3.753E+03\n",
      "BKMeans SSE: 3.393E+03 (9.58% lower)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmp=KMeans(n_clusters=k)\n",
    "kmp.fit(X)\n",
    "\n",
    "bkm=BreathingKMeans(n_clusters=k)\n",
    "bkm.fit(X)\n",
    "\n",
    "print(f\"KMeans  SSE: {kmp.inertia_:.3E}\")\n",
    "print(f\"BKMeans SSE: {bkm.inertia_:.3E} ({1-bkm.inertia_/kmp.inertia_:.2%} lower)\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (9, 9))\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], label='Data Point',c='#82E0AA')\n",
    "plt.scatter(kmp.cluster_centers_[:, 0], kmp.cluster_centers_[:, 1], c='red', marker='o', label='Centroid', s = 100)\n",
    "plt.title(\"KMeans++\", fontsize = 40, fontweight=\"bold\", pad = 15)\n",
    "ax.set_xticklabels([])\n",
    "ax.set_yticklabels([])\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (9, 9))\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], label='Data Point',c='#82E0AA')\n",
    "plt.scatter(bkm.cluster_centers_[:, 0], bkm.cluster_centers_[:, 1], c='red', marker='o', label='Centroid', s = 100)\n",
    "plt.title(\"Breathing KMeans\", fontsize = 40, fontweight=\"bold\", pad = 15)\n",
    "ax.set_xticklabels([])\n",
    "ax.set_yticklabels([])\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
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