{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "cedee032",
   "metadata": {},
   "source": [
    "# Optimal Transport in linear Independent Component Analysis\n",
    "### Simulated Experiment: Singe IC extraction with squared Wasserstein Distance - Discrete"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "db7027cd",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats\n",
    "\n",
    "from wasserstein_ica import WassersteinICA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6471951e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Simulating Bernouli sources (s1 and s2) of size n=1000\n",
    "n = 2000\n",
    "np.random.seed(42)\n",
    "\n",
    "# Bernoulli symmetric {-1,1}\n",
    "S1 = np.where(np.random.rand(n) < 0.5, -1.0, 1.0)\n",
    "S2 = np.where(np.random.rand(n) < 0.5, -1.0, 1.0)\n",
    "\n",
    "# Stack sources\n",
    "S = np.vstack([S1, S2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cf786e78",
   "metadata": {},
   "outputs": [],
   "source": [
    "# generating invertible mixing matrix A\n",
    "#A = np.array([[1, 0.5], [0.4, 1]])\n",
    "\"\"\"\n",
    "A = np.array([\n",
    "    [2.0,  1.0],  # Dominant axis (Mixes S1 and S2)\n",
    "    [0.2, -0.4]   # Minor axis (Mixes S1 and S2 differently)\n",
    "])\n",
    "\"\"\"\n",
    "\n",
    "A = np.array([\n",
    "    [2.0,  0.0],  # Dominant axis (Mixes S1 and S2)\n",
    "    [0.0, 0.5]   # Minor axis (Mixes S1 and S2 differently)\n",
    "])\n",
    "\n",
    "# Mixed signals X\n",
    "X = A @ S\n",
    "\n",
    "# Converting to pytorch tensors\n",
    "S_torch = torch.tensor(S, dtype=torch.float32)\n",
    "X_torch = torch.tensor(X, dtype=torch.float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "199a24d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LY489VvL1TzzxBIYOHYp7770XALD//vvjs88+w/33348ZM2YoJSZBEARBEARBEARBKAJXR4YtXboU06dPT/hsxowZmDt3rjYCKUyPP4Tdu9swoMyB1u4gzK5SMG8Hqt0OdPnDsEa8sCCCSMkA+Nq2gVkccNgs6OrugquiARBMcAda0B21gIUj8AUDEEoaEOjphDXiQW1NHYSQD90+H0wON0KCDcFgAG7Bj/bOLlhKqlBp9mEnKlBr6kAnihHsbofLZkJH0AyXOYJiSxTMYkdPMAqzAJgQQXGxGx0hC3o6dsJZVAK/rwcO5kdleQXau3sg2ItRUlyM8O5t8MIOCCZEA12oqqyBPyLAAwdsUR9KTEF0ohj+qAUufyt6IoDdYoHLKiAQFRAWbDBFQzAhCiHkgatyEHZ1+2D2NCPMGEpLy9HR2YmK+qHY1bINgtmKyupaeNu2weJwwcpCaPeGUWwFrI4itHsCsCKAmvoh6PYHEPB5EfD74Tb7ISAKlDQg4PNCCPbAZo4iwCyA3Q17oA0WgaEtZIezuBSsezuCJhdYoAeVlZXYGXJA8LZBCPsBkwXWioGoKLIj4PciHGEwRYNgJjNgtiLELHDCh662FoQsJXA4bHDY7SiOetDS5YOrogElDhtatq6DzeGCz9ONktIK2EoqYPI0A8W16AhEUGMNArZi9LRvRZiZEYoKCHo7UeF2wcsc8IYYiksrEOjphtlqgZP5UcS86IYDZpsLQb8fTtaDnX4zBKsdFbYo2r1hVNYOgK97NyIWF6LdLYgW1cEa6oTDbkckEkKEmeEJMtS6GLpNbvT4w6h3BuELRQFE4Yz0oDMAOIrc8MMKV7QHkUA3grYKeOFEdYkdnl3bYLfbUFJSBrAIutpb0e31o7J+EHwhAIEuINCFADPDZC9GMBRBkSmEHqEIVY4IusJWOKwC3Fagq6cHPSEGc9gLWItgtjng6+mBw25DNBpBdZEFrT4THPDBZ6+Fg/Wg1GFBa1sbgiYXhLAfRQ4bXEIA3f4gwjY3SstrsbM7AESCMPl3o6bYim5TCdDdjMqG4egKMZiCHgT8XsDihC8QRIngg9tdBo+nCzCZUex0QGAM3Z4OmGzFCAl2lJaWQfB3AGYrwKLo8IUQjUTBTGaEBAdKLGGE/D0odVrhCUbABBMsVjvaOzpR6rIBwW6U2G1AcQ1YoBvbu0OwWBxwlrjh6fGi3hFCty+IcBSIMoaqEicQDSMKE7r8vek53RXYtWsnKotsaIs4YDGZ4LIJcPhaEba5Ee7eCbPdhWiwByWVjejuaEXUVQdPRyvKS0sQNtnh27kJgr0IpeYQWk01KHJY4bYytHs8sPg7YWJh2J3FsJbWYVdHF1yBXeiO2uC0mQF7CRANw9vdiaKyGjiFIHpCUQR8PSi2CoC9CIiGYXGVY5cnBHtwF2rsEbSE7Ci1Mvi9HvitZbAIQNDXDYvVBnPYC5NJQMheCZclirDfi54Qg6usGkU2E1jAA7/ggDXYiUhRLdyCD7C74dm1BX5mg8lqg9m7C+7ScrR4ArCZLYDFjmJzGMxZhh6PB6awD3aLGaZwD9pN5SgLt8HsLIVHKIaT+RFmDFanG772bShxObDbF4I57IPdWYyI1QW3qwh+nwdefwBmswX24jL4unfDFA3CFvGix1ELc6ALEasLZdFO7PYzOGxm9ISAWrcT3d2dCDur4fV0os5tR2ePH/5gCC6rCXaHDZFgAMxeAjjK4A40o9sfQNRShC7mQqXZg4jZBWs0AK/ghCvcAV9YgNMqoM0HOC2Aq7gEXjjhDOzCbn8ULOAFbE7UlhahPSTADECIhBA2WWGzWuHx+uG0mWHy7gIrqkaxVYDfUgzm64QQjSIkmBHwdKCidiC8YQEefxi2YDtcFgZmKUJXkKFa6ETQVQ23EASC3Qg6axDp3I6Aswahjh1wlpQi6PUARVVgDPD1eFBRbIXdYobPUgpv2zYEHRWotEbg9XTA7nDAy2ywBLthK2+AJxBFMBiE07sdVZWV8Hg6UGyzoCtqhyXshcdaAau/HcxZDn/3bjCzDYCAqLUIJdEuhM1O2N0VgL8LvhCD0xRFIMogOMvg8/lQHGiBVyiCraQKlp5mmIoqIfh3gzGGiKMcvrZtsFc0wBnuhMtqxs6ObpS4y2EyC/AGGewlFejuaIcDPlhKByDk64TdVQZ/TwfcDgs8QhHg60A02AMPc8Hk343S8kr0eDrhdLpgsbtgERiYyQKvpxsl7lJYEEVPVxv8ghMs6EOVI4oukxtmQUCH14eK4iIIAoPDLMAXimJ3x27UVZZjl5/BFg0gZLLBBxeK7GaYelrhDQMOhwNRmFBt8qA7agFCXkRhRgQWMJMF/lAERfChyG5BNMqwk5WirtiMHlMxfIEQnIGdCFiK4TaH0eXpAbO6YI36EHLVoYh5EIlEYAt7EDAXA2YLrM5ShMIhmPxdEExAic2MrkAYQsiDkMkFV7EbAZ8XUV8HepgTJVX1cNvN2LljE6rKStEdEmAK7EYQFphCPgQiDC6rGYKjBDZXCby7tiJqd8MUDQMhL7xhAQ53FfxeDxw2C5i/C9aickQjYYQZYBWA7ogN5mAHKp0m7PIEYa9shDnih5P5YLYXIWRzwxXtQbC7Da0BC6qKbej0R1BTZEYk6Eezz4SorQS2SA9q7SE0owJOhxOCIKDUaQXrbkGrJwSLzQ5ncRnsVgu6OtoQZgKsViuikTAiZidCu7chKphRVVoMr7kEkShgj/aAmWwQPM2ICmYwkwVCJAhn9WC07mxDdYkdvmAIzO6GCz7s7PKj2h5GZ9iCmhIHugMhuF1OeJgdkZ52hHo64HPUoNplwq723RBMZlSWudHtD8JiK4LDtwNBcxG6TKWosoURhAWdPX6YEEWxDQhGzbD6dqK8ogpecwmCng44o13Y6bfC6XJCYFHAWY5oOAB/dwdqqqvBQj70+IPwhcKwh7shlDRACHrgsEThKqtHoG0Tdu7Ra9TvQcjshJ9ZUWIJwhwJocdZjwgTUG3ugT9qgjcQgidiQzF6IAgCzM5ilAR3odsfhp9ZUF0/CGF/Nzzd3Shy2OCJWhG2uOCMesGCPpSUVaC7x4sSdzk8bVvR6QeKTX44rWb0WMvBGIOvpwc2ZxFsZoYerw/lLisiEGC12OD1dMJd5ERbyILqsjLsbGtHTYkFXd4gAn4vqusHY3trK8zOMghBD8xWK/xd7WCuKlRbfRAC3TCXN6Kt24tqthutYSdMFivC3bvgqqhHoKcL0WAPzOWDYBIAd2gXOsxViAQ8CJmccAXbEGQCWDiEymIrzCyMjrANLiEIP2yIArBHAwg5KmEK+2AymeB22dAtFEPwtsEfisBqEmBmIUQtLrBoBAh0IWothjfEwMx2FLscKHWY4fN0oI2VolLoQJG7EkFvF1q8AsyBDljLB6AYfgQiEQRDYdSUFiHo96InGIUgCHDYLOgOAXZTFCUWhm6hCJGgH1GYALMVAWZBvT0AwVmmnaMmM1w53c3NzaitrU34rLa2Fl1dXfD5fHA6nUn3BAIBBAKB2N9dXV2KyykHvmAE7z99IwZ7v8OuPZ+1WgegJrQNXQ4Luv1hAIDFJCAcZUn3r7fvjy5zOQ4LfwFvMBL7fIN9JIYEVkMAA3Pb4bCasanNCwDwmEthZhE4o57Y9dv75HFa0ekLJT1HEADW7/HFdgt6AmH0l6rbZUWHtzcNm9mEYCSa8L2pwoXmTn/C57st1WhyTsKR3W+LqSpGq7UBjqgP7shuAEBL3+dx1+xMcV//z5YN+hnc2z5FcaQTAGL6z4VUz/uy6Eh8VTQNV7TenvB5RLDg6aqbcPGuP8DCggnfuR0WdPnD2ODYH6XVA1Cx5f2kZwgCsKt0NP5lOgI3YCHcTivWbe9EvHnE6+Jl92n4addfAAAmAWiscMVsQSwf39iGozG4Lvb5OvsoDA+sSrq+DcCb5RdhrHdpyu/7ExaseK7qegwOrMHRXW8AAIZWFcFuMWFDczcYgPXmMtijftiYP+n+Xf3+BQCXzZxg+6nYnuKzsjg77Z8mIOD+il9gl7UBZ7c9hurw9oTv15fvg+ctp+PCXffAxCIiaQA1JXZYzSZs6/DFPrNXDcH+zg4AgDcYxsaWvfWw01yB0kg7gN765QmEE9LrS7+hzImaEju27vaizRNEWLDimapf4ZKdv0PQZUnIl6XShTKXDetbPbH0Wq0NqAn15umjkhPxnetQzOh8Dfv5VyTpqU+/a+0HYJ/ASmwT7Gi2NmJQcC2AXt2uck7AB+5TcPHOBXBGexLuXzn4fAze+nasnvWnv87ibfd7x3iscRyIEztewI49nzWnTEWcNkstKsMtCZ9ttu2LI0q2wWE1Y21zd8Y0OsyVKIu0JX3ekuJaMfwmFwbWVGBX89bYZ/8sPRfHdr4MIakVBbb2+7t/vjO1V/3rRbL00knVvonRZ1vxfGMbhr+WX4gBwQ04dfczCd/1ybVvbTGKbBas3taBfl1GEh0mAWaTgJXm/bFPYCWA1PpY4xiNxaVn4dTdz2BAcAO697SvUmmP5am3T47nv8VHYT//t6gI91qsWBsZT0lcn97HDusg1Ie2AGDYZNsXg4Nr0GodgOrQDghgeKtsJk7ueB6Is5H+5WE2CYjs6QAsJgH71ZZgzY69Y6Cufvnuu3/0gFKs29GFcJQl1LuIYMGzVfMS2un4tPrnIT5dswkwm0wIhqPYBeC1iktxUM9nsXJK1RanYoXrJ9jX/11snJKpnX+ufCYOK2lG5eb3JD8jV1pTfGYxCfiL+wLcXPx3bGjphC8U2WuTpQ50+8MJ7Xkzeu3q1YpfAACu3GcX6r99As1dvf3e+uLx2Ok+ABO3v5jwnK22YRgYXA+g1+Z3WAfBb3JhaOCHtDKnqv99n/W1rYMqXPhfVxHKwzuTrgFStwP/LD0Hx3W+jIDJCXvUF5OrD1NVEb70VKHKvzmpnfuqaBoO6fkYANBjNcMXEi/f0QNKsb6lG4E9dhVPn/w/Okbjq6JpuIk9g83te8c47XHXFtnN6AnseU6ZEy1dvoT25r3SMzCj83UAgNNmhi8YQZHNDG8oAsYyt7tibeX35iqURXbFZAX21oV/uU9Pqmd9eveVDkPE04YdIv0nAKx0HgwLC2OEvwmbbfvE+ub4fHdaTLCYhIxjpSKbGasxBAPjxn/p2G5ywuoohtW/E6utB2BEaBVG1buxodUjWp5CmRPbO3wpej3A2c8OwoIN37gm40TLUtT93xXAfkdLkot3dB+9fMGCBSgtLY39NDY2ai2SJDp8QQz2fpfwWV/nHt+xpXK4AWBY4HtUhFuTKtLQwA+xBs4fimJ73KC/ONKZ4HDHk8rhBpIdbgDwpHC4ASQM+Ps73EBvvvp/Xh7eicpIqq4smZrQ9pjDnQ9F2z4XdQRyxWISYDULMAlARWRnkgMCAGYWRlG0O8nhBhAbGA31fw9v68aUz2AMqOz4FqN9X8ETCCMUjkLEPAAg5nADQJQBW3f7xC/eQ2O/BjfdYLI8vFOSww0AFhZCSaQTA0MbYp81d/oRCEdjtlQS6UjpcIuRqRMRo8/Wzabe8kqEoXyPk1Uf3dH/S1h3r4U7sjvB4U5Fa3cgweEGgMCujbHf/aHEetDncANIcrjj6avP/j2dk4WFUBTthgCWVId79ugnPr14p2ha9zsAkNLhBvbqt2/QbGMBNO4Z9PXR53iksvfQznU517P9/ctREZbm8kUEC4CkgkxyuAFgUHANdnT4sbsnuQ6mIpXDnS2OqDfB4QaAwz3vpnS45SDXehGPOYeRQX+HG0DMSShPU5Ztnt6yyORwA739YSAcjdmkGPv6vwUA1IW2AIAkh9tq7m3D4y2pv8MNAD/xfJBgm1LawFTOan1oM/oc6sHBNbHnCYgCYBgS/BHIYCORuA4gHE1uA8TyHYxEU44tzCyMkkgnKlL0yWION9BbB7tQgmB4byGO8X6RsZxSMcb734RxSiZ7Lgu3omzLB6Jy+UzFWcsgRliwJX8WZRgcXAOvP5DkbOz2BmNtdXyd6ms3AWDZim/RHtceDfMsx6iWd5KeM7Bf21sf2pzR4ZbK5nZv2jqaiv39ywEg5nD3xxMIo9q/KWU71+dwA0jrcAO95R8Ip28cKsOtKA/vEh3HAkBPIBIrP38oktTe9DncQO+kGNDbh/aNgcX6mUyURcTd9f4OdzzOzvUZ+8+KcCtG+JsAIOZw9ycYjkrqE3qCEckON9Bb7ibvTkSivWOESJQhFInCHxZ/VocvKNqi9bcDCwvi0J6PeuvP18+I3KU/uHK66+rq0NKSOFBqaWmB2+1OOcsNADfddBM6OztjP1u2bFFD1LxJ5cxmi9igLdmR4AWRTMuhDIXpbXDFGVThwgEDK1FRZEubn/gyU7+ctNWzUk5G1uwRo87tQInDGvu4r4z75NyvtkR10dIhZoMxvaqi3sSHpDLh/nrMlUz399WftfYD4TO58nqW2ihdFzK1V5moLLLLJEkvWtV9QYi30PQN7v71bhzQUAq7VcqwSPn89NeZWv2FAJZWU6lsa6NtPzxfda1yQqVBSFMUPzjG4eWKy0W/z7aefOs8JLUMaeyh75v4OhV/PbfDtQxoO5bJDbHyk8JG237oNpfKKE0iculQ6bJIlz4nIzyu4Wp5+aRJk/DPf/4z4bMlS5Zg0qRJovfY7XbY7fIOEAgiJwR5WjtquAheyc7CyZIJIneo/ugHKqskSCUEkYSiM90ejwdNTU1oamoC0HskWFNTEzZv3gygd5b6ggsuiF1/2WWXYf369fjVr36FH374AY899hhee+01/PKXv1RSTEJjuJkBTUP6d/97ESBkyI+UvErTB9OB3hLRm7ypETRamSFmgzqZZMia7NoFo2qByAeyChHSVq3s27fetkkrbaebZZZXJrnTA/Qx/tEWafqRosd8y0+J8s8Hsh39oajT/fXXX2P8+PEYP348AODaa6/F+PHjcdtttwEAduzYEXPAAWDo0KH4xz/+gSVLlmDs2LG499578ac//YmOCyM4QEpjy1eDTKRGrJtK6lC5K870AqnT/Uof2HCnvgKCt8EhD+hteMprCRrJtrLPS2G9+MwHPicFqKQIbVF0efm0adPA0swKLVy4MOU9y5cvV1AqPpCjORJ7yyUIvQ/QwVZp4yAg6+XlfeWU9LlCBSd3snK8ZeXLRPvKL71UXLxdjhdB04qe6tl79KiwXLF2TkQKnlHehvIcXMo8NuWizmSAu+F4v/oj1l8oQfo+KIWmhEw7wbUjvVxZbpgR6+OltHV8qidnEvalq2ib4rJIeCGcxxZApe07Fx2mkkjTstBjZ6wyXAVSIwheoXaE0Bq92aAeHC2ikNCX10P1Rz9QWREEIQVyujUi3QqA/OFzcCGWYz10WNLecgoZVZ+YVz7LSSlS51bT1+MJ9EnSN8vDW+nwOJOUqu6qV6LCnufxO8umFfmWgWG0aZiMAGplpq9WicFbb51p/JCubcg2L/nkPTGOfsJSpTxS1RCmzlhGinakjiHz0rTiqznkSttQjZ7hVuyS000QkpDQkMkUvZzQBv4dN97l62Xvnm6D9ZY6gn9bVod4LeSztFQLeK0/RrIt+fZ081lWRH+MY7taobNmlDvI6dYIdd7eUEegFkLC/9Od020csh9o8GWPyWWhn9JJnGPgS69y6ZG/fOkJvmxZF2XJl8o0hGUor2RFZbpDSdKfkZ1p9Zn2ha6LupEDaudK+5LUAmPajpEhp5sgJCDbLInR1soQqqG3mTqC0B6qM4R8GGmWvxCh8iO0hpxuHWOUN6R6yIckCQV5ltWqsj+JFzjKhFSnVit75XOXZYo93TLVA8n5ErQ8Izg3lD7rPd8XNILO9GlEeO0XU9kWn1EwMpNtPRFz2tKXVZ929t6rdP1Xg4yakyuLktKRttair/xyUT+PsUN4bCP4k4gvyOk2IHw1C1IwSjXNrPmEYzaUFIXIGqNYodawFL8pAdUfcciWk+FtwJyZfkeGaSRFf4xkW/LlxUhayR5ebFPP6CeMGpV2PpDTrWuM0dDrowpnklJqLqSUmULndMucXrZvWXl8u59qoiNTvuQ5nzyXNPirKUKabKglLYOgw6X3/NUFZckUYVoZfWRjFbzN7ispTTp959pO8/hSQ63ZyeyPRjZC/c9Up9UjXT+Umuyl0+tqDoIvyOkmCAlI6rh1N/AnEuG7/Hgc1KZGL3IaGSoDQimMZFvyLC8n9AGVH6E15HRrhBqTfry9SxXLM4/7UnIj81xJITf5vJdz/FFXQuYj17lBSzlTn9OtbmwDIpm8B5cyGxWVZfZopTMhw/7Y1LalXSuUVk8Z4j3Ie2RYajli4564WxPO7OZwBZgU+KvT0k70NhZ8lYFSK5aMBDndhPbootOhY5AIrdHZGbG6qNeEodHzGJvqj36gsiIIQgLkdOsYsTektMpZfuSLXh4XSE2knCS/+da8n5djbzNP9CsQ0Yokg9Q5RU8Vu50vLcr2gipDtvqKh7fcS0H5FyU66wQUUofOtJAWfvr11Od0aydgPuc6ZLm8nJsy4Asli17qWS5Sxk35lZ+gaPnnosNUfSQ/7QSRCnK6Cc3hdqYuDmnL0Ki10zO8W6Fe9qPtXU3Ju0aNS76a14elZYde6k8fStaffFI2Uq3ONi+5HRnWdw2hNXprAwjjQU63Rsix98EozYcR8tG7dUzKkWES0spbGhFkHi0Zzana2yEzpCsFLuw1TvXaypNuT7da8Hd+aiaUlpY3fWQfXZjgLVZDH7zt6c5EurogVz0RehPLgvijQ/VZOXiSO1tZcpG811b4snOeygAw1gs5pSCnmyAkIVdjS80SkSsKLncnCMPD14CZ0CNkQ/qGyo/QFnK6NUKeuBtiieitYeHfaZB2DnC2UZsLy4ni7a1s8nvrvTO0Su+LyulNO4ebtVKXafyKgXzIdL+w5yr+9JKZQtvTzc+Zvvqhv1ZkLNN0Ab/TROLOLIf6dpe+X8nU68h1ZFihL9hPsc+fw2zl11cobdtypc9b258fPNpRPpDTbUD0VuV4c8ZyRsry8rgWRG/lZHR4dGqlwNuRM0xSQMH80WdpqYNebZnYS//6w0uJGsm25MqLYcYwOZJai4Wtk2zRi8udNn0q8oyQ060RZJvxGEgbAtK+mpOzc9Zaa9nu09TTwERg6XcC8gS/elXvnG59znbzi1G0qe98aHdOd7Zo2QKl64fUaxcyR1BPkmTPOEHfNsoHmc6Wlwv++hle+35CDHK6CUICFL2c0Br+OnzCsBjF1OLyQcPTvZAuciOvNtgodUrHUB9KaA053TpG9M2ezs6vNUwzmG1GxM7pVqjk5E9VhnO6NZ0iSfxzb9TtDLsAOVvOzRuqRS/XccOh9KxM/oNLeZXL72oMfkkqARXtPd2jUtlW32d8lrJ80cvFjwyT/0xw3kmo0ymyprYtSGlj8mkXWZ73ZySXc7pT5VlDM8tYAjkZBZ+tSq6Q001ojtoDstyWz2XbkqV+RmGf52msxlNtxGzQhGjOKSoJOVqE9uytM3qb5aL6IxXt9SRWVtpLVhhQXSH0AjndGsFkmC3T1xAiDVnrgtecCxlPcqTOgTdSDcoZTHSwsCRS2XNMjyqtCGDQ3zndSg/HedOHVu0eX1rQCyxt3U1vW3xpPFPbkH09kS9/e+uEXvsaPcq9Z0VGDqLz1qYS+oScbgOit6ZBD46opAY3LhIq7QBPptDyKzfKHFejHBS9XL8YU7c6y1U/z0Bn0quGmuMHJtoEF/IKttR5k+udq5ylK1p+HKCX6OX5wOdIRV3I6dYIVYyPMws38lbYxF2s6TJqHCXo4WVJOgQICae8xfYip41czl++texkhRSzYnLNCPCmZz1BszL6R0n7T9cXCxmendK29jSkPB4nJu9Md2rSlpXoV33Ry6mdkwfSI8E/5HQThATk65ylPY0g+kOOFEEQhHZQG6wFUlYR9F6TaWInv+jzVPaZMPLEmlyQ061rjGHh2b7p5XZ3oCAt+rVRMFo+4ztkPrvX+P3n8fBVDlKjwGdC6v163NOttLR604dSFixQbAbZSRe9XG9ou6db3/B2ioc0feandd7s3GhjsFQYLYfkdBsRvtqFjKjdcCjXcManK5an9Mds9H4s0dnQXWvEu8BxTrfCdUhOTfA2+IFMTrfExxApIeXonaT6I2uR5lM39WNbmft62gojC/oxiZxR3OEuhE3dBDndWiHHOLlwG3r1WxW5AnDw5yAR2aJVvUu0QV7siGnfDgmZzgwgskZmdWa0EYVMKL695XG/cTq0q1e512neZgIByGrL4ud0s8xjujxfshP5k7998mXfWthO+maUbDkT5HQbEL6ahXj0XCGzjV5e2NFMU8H7C4d4p1bx8XlOqhAf8PGEWhFi9Vx/lK4L+ZaBnnWbgGEyIi/5WB9vEaDTt3/phVUzL5ypLW8Ekd+J3KCJ7sKAnG7N4GugrCVZ7+nmccZC6P1f73/i+eHNQSLiiV8Wzaj3kkDvltn+Ni3X8nKpe7qJZHgzXu1LSXsJ9EHmF0Kp9nTzi5zniucyUyqmG6OPBWR7rygxnVi/nTYp3tpFY2Fsi5YHcroJQgLqNtbUdBHJpFvaSBBEKvQ7yO5fr7nZ0s0ZaY83U+kFfWG2wfzkOduVQ7m8EOAnt4SeIadb14i/Q+39Vh/NhB46LElOt4QOPjGv+h0QAvoot2xIjF6e/nRXLeD1LX1/qeSLXi79Ct6WvGoNr7aiNkZro3ggtW3p096yrSfy1isj2WYqvaidv8zPy7f8lG1Xc0k7VZ41rIvahO7QFeR06xix01B47f5EKxzne32lI+XIKZbxGumn3Gitt+yen2oAzNOLoXhnUUhTgjwM5CUdGaaKmKnKdI/uFK7XvLZzUhAQVTR93pxureoMD3U1VwSmnI2k3wWdPpAab7aVD3LlJZ+y4j3WiRiChLGMerAs9ZiLzpXNZS6ppxoral8WadCnqcsKOd0aodN2lgu47fSznukmiPwhm6Lo5YQUyEaUoq9P5rNv5lEmQo/Qiqr0FPpIRArkdGuEHMZplMG2HtqxbAYTAlheb1WMUq56Jn0wPG3gcUCbblYs78NZDPxmkr+STERu+aSv3pH5udo8Vha0lV1PdS/drLzMTxJ5sS6lrPpfs7fd1JOu95IpzyrHUZN0bV/55SIbj/1vIaDP2iEOOd0EB+ihWqVvcHuDl2euTtRs8wuT3BxqZa+5D/jUZK8e1dETDYaSkW7LIhhQpfqzEz77xfS2xZ+O00fnyK6eiF8vYYsPf6opOPJuF6kQ0269IzJDTrdGGHgSJ2vUntnN5XmSB2xC39Viz5Avr1qbULZ6THm9hpkQ2w2QPoiadiRIxRK/SX29WsoVm+lW58iw3it5LDGCyJ3k+qNeJG491SYJr8NVkCH3cNi0si1/CleHhZpv/UJOtxHRU4+pE6Tt5clS8VROXCF1qKnVsme97CdTbciuE31oQb5lYMzZDCPmSX305ZKnJ/vo5bljzDq1BwNnTTXk0iGVBdeQ061rMuyl1MlLsGzfUmrT6ct0ZFicw8bbkVTZotU+TTmJLwOpTq0c1peb6kSWl2u4bCZlRHpB/Lt80078fs/zdDc3Byhdx/l7QZM+v0ppQ88zYLmc0y01t/loJZVt7Q2kxh/pZMq+noht8eEx50rDT/Ty3lCaUo4Myw8l+5mcopenyJHWZSE7Bqta5HQTqmGwupOCbE4WJvhDaunwZcn82RR/EhUeVAb94avWak1+c7bGwUh54Qst6psaL50IcUivmSGnWyPk2G9ZmG9XgXw7SkX3dKN35jGfPd2S5dNd8ac605lHGEwCf8MxcRvUVouF2w7lTqHprNDyq2/Sn9Od6U61SbfSh8l8nGD6oGy5xTjhrZ+RCl91Woos+dmC3LZkTHiyCT4hp5tQD5H6yFfjLYY8y8sJfpG8p5uz6OW80adHfdRrY6K/5fbKkLB9RGc6UbT+5JG03vSYjuz3dNPycsnQVLcxMU711wRVnO5HH30UQ4YMgcPhwMSJE/Hll1+KXrtw4UIIgpDw43A41BBTVZTchrl3r6Ne0I+kYggxRyN9mxTfOeu/7cr+zT53gxMh+Y/McvKVBy112nsmffKnvSgrl/7rj5KQdvR/RIg28vfW6XTPTratvc6oFnaXfqY7vWMtl7zZl5Xez+mOR8lSl1qNuRtbZIkh9nTruwhUQXGn+9VXX8W1116L22+/Hd988w3Gjh2LGTNmoLW1VfQet9uNHTt2xH42bdqktJgEkRbjHPRF6JV0Q0uCIFJA7x4IDaGWmSCIeBR3uu+77z7MmTMHs2fPxqhRo/DEE0/A5XLh2WefFb1HEATU1dXFfmpra5UW01jobKCRbfTlfDsyxfZ0C1nO8OmsnPqT29mk/AxD+qufJXzHRMtHnmLLzwbl0aIyBtgnW75R1TPal9D3PD1GL1eWvNtItdXJUbvAC7nVH2n35BW9PNWHGm6tymeGM9s7mUg+BZZqxU+/a5Ju1bvNx8mvcfMrNXJ5Pv2E4uv0CuDIML1bvBwo6nQHg0EsW7YM06dP3/tAkwnTp0/H0qVLRe/zeDwYPHgwGhsbcdJJJ2HlypWi1wYCAXR1dSX8EHwiFmiE4zYiSyh6uZ7hf093anizqb17ugmtoJcQqdCXTniV1ki2lX1exPZ0E/2RI1iwUs/UQrZCgLSaGUWd7l27diESiSTNVNfW1qK5uTnlPSNGjMCzzz6Lv/3tb3jxxRcRjUZx2GGHYevWrSmvX7BgAUpLS2M/jY2NsudDCeR4sc/b4D93DHJOd8LVYi8Y5IterrfS53FgkkomgakwcZNT4WUXxEcN+0i//10tC9VfVFnjtN3SyJRfJbShfx3nspIo/6dKPfM41WPFZoI1RRWZcle8Xu1U4EpsKfPQea6IEvhbUaU/28llhZ/e8pge7qKXT5o0CRdccAHGjRuHqVOn4s0330R1dTWefPLJlNffdNNN6OzsjP1s2bJFZYmJQkBStedxwEFkAd/ndOun66F6oD1UBsDeAJcApw6hLjGSHuWJXk4QhQLVgPywKJl4VVUVzGYzWlpaEj5vaWlBXV2dpDSsVivGjx+PtWvXpvzebrfDbrfnLavaKHlOt6CzapH92zr18ydtwBZ/VFLm2T+xctLf20upcBi9PA4W91vvO+00+/dke1YW94jaIF/ndDORz/NNN/n7Xn2QM5VM/nEv5EWbes9vWyOF3GKPSLwu7YXpXUv9nOuQ2UnOek+3yOeChBFdf0nkjtChNoKEsQxP5NtPKF1KculQD2VRyCg6022z2TBhwgR88MEHsc+i0Sg++OADTJo0SVIakUgE3377Lerr65USk1ALkVbLME2EhEZdDoeNUAa9Om+82VSfHvWpTWOgV1sm9sJrCRrJtuTKi3E0IiM8v2fjq8s0DJwNRbhE0ZluALj22msxc+ZMHHzwwTj00EPxwAMPoKenB7NnzwYAXHDBBRgwYAAWLFgAALjzzjvxk5/8BPvssw86Ojpwzz33YNOmTbj44ouVFtVwkP2nJjcnRXq3qsoOMg4KN5eZGK4GJ2mEEVj677UhTiApqlfNRpR6kPR09bbsk7cXJYqiUV71ZRES4DpDvEYvl3/NRlakEa1Pbr72RuuTPWueVHsSL/C8cpBIjeJO91lnnYWdO3fitttuQ3NzM8aNG4fFixfHgqtt3rwZJtPeCffdu3djzpw5aG5uRnl5OSZMmID//Oc/GDVqlNKiEgqj53OGpQ3q+WqQiWzhO3q5fhzLLI/OIxQgT1vRi6llQtf54LX+6Fqp/ZBrT7eEsjKS2iRAE90EkYziTjcAXHnllbjyyitTfvfxxx8n/H3//ffj/vvvV0EqbZHn5X+G9do6aVmyjpQqCHnmTQHFCACEvbtpJEUvF+2EuZrGFCXbcks1u6d9Lvay96grBiFuiXR/GXl7u6ylPKnLND62gZIP73sewHQ3oFVWN/y9oOGrzuiB/vVHrRLtrdPpXpEnS8Liej49IVc94a1PUAcpYxl1EFjmeDEMQp7bCeic7nwpxFrSH+6ilxOFiPGqoli7J+nIMOOpAwDXfYGuyX0ooLShGdSQCwJj1FZj5IJIh7oOb35OG0EQhQ053TpGzDnTW9OerZOpzbIlicvLhd6rpaC3cpIHlvZPdRGPHp9+IMfb8vLU8qgjpbhU+b48ylQ/hITf9FWbeJdWTvm0Ot1W/7OP2u2Fz1V3vK2wkHsFTD5b5FKtD+j9XJ92mhi9PBk+l5fnbhD5z5SnpwAmunNDn9VDFHK6CdVId9yGmij2vPgGWXT/gMFakKzgK+/9O6eEAWO6IGuKSJM7vMmj2vJyQhTenB8ie5Rc8ZTPkaX82VZ2S+Gz+T7pehGnS6ysCroFlCnz0myVZfXMgi6XfMmn+pPiyenWikIKXhtDx3nO1DnHz7qlczZ4G67kRy7Ry/kyAj2dlR5vgzxJp5iuCrKRNCJalaO+7Ue7Nij9nu7UdxirZ8uW3E7y6LtH33bKC1m9pDKIynk7BSOfl3mFAjndBAeoPdOt1F1yDTyk6YOaN3mROnCUYzCcWwr6eEGwV498yVVIFLoTVKhIrnF5VE0j2Vb2ecn2emoD80ZSYHipY6b8lpcTRL6Q061rjNGgZ+80qN/4SZJQwn4fuRwkHko+t1LgQXIxUuQoZSa12tMt9peG0ctTPlue5eXZDKT0NyBSusz40YeAzDMySmmDHy3kAq9tZTqt6k3j2R4Zlv03hFpkjl6eP7zZN2d2p4A4nOUwb8jpNiC8NQv8ofwQT9xhSB98JP294mnpAd5mZPsTL53YsnOAvyVdvMmjljTUzonDl0UQuaDkkWH52AdvtiV141cq5MqLUOALa5Vsi6XoVerzeS4jvQRSo343P8jp1gg5mmjenRil0GRWK6uolWn2dHPmIBU8KSe3s9/TqAoKRk7NlV6JtNUV02H0ct6RX5vq20ih9o/5ks+6EaNrPJ+xR9KdrO9zfWpNf3Ln36rpb0WVuujNIrSAnG5Cc/TQeEtqbBOcIv7zpD6c6ySu/Dj0b/XT4QsUvVxzeDRgTSA9yA5vtpXmRXbGNjPrvKS5npq7BPg8MowgtIWcbo1QdsKTs05xD7wcGaYcwp79i9Kv1zO5zNrznOP4AGDpdy3yZa/aypN8prlcR4Zlvp9na9IWnl7QZD73XiH4qqZZo2X08nTPTmVbfZ/xZHdSkEve/KKX65NE+bU/qTubFWp8aj57W0wXU4XgE3K6CRXhs6mTgpqds+TOWL/qJHIoO70NaAkdYxBT421SNhuS+gEd50VJ1HRexdpgSTJQ+SmIVBvI/WQN6n8JOSCnW8eINfR9Aw39+GTqRi9XrJPOclmtngeEveT/dp8nG03oVPfM4qcqIt5mKHiTR60jw+LrD18a0B6+BogSSocKUB5U0GNq2+LJ3qSjZT3hrd3OBx7GMpn0ybu2c9FhyprIQVmIwXsZqAE53YTmSF+OzTtCit/6X2GYzGYNx31BEnqSlVeMU68LD7J/HlCuAlHVzA1xJz21RuN3YBmvTqnj5EqLXs4kXZvfSxbjlaAeMFpbRU63RqhjSHyZq5qNsNwpZGqs1X67yEMQdKO+QMiUL63yHW+DiYM57cpBANO8mdHnOd2E0ui9fVL0pVWatAUg6w6GxTrAwqyH+ZSVXu1UtZeqMj0nof+UIQ0+4Mt2+JKGT8jpJjiA/6oqLXp5/K8iS//l3NOtM3jLV/8SjS9jHpdo8dfhp0at5eWEOPnbij5sjVAf3tqhbIO+ZfO9vPClN8UxWPhyxuOggDeU0L/BhhHkdGsEk2GqkjcnJiMi4mabD946/b2Qs5ERHqbo40g85G3PnnyWySb5yoO28mgZvXzvlUQiPLWRWkUv113/mIQ28mcqr3S2pTfHJNt6Ip6/XMqqL26IXu1Ub3JTEBBCe8jpJgi5kHROt3ytPfUb2sDbIIk3eQiCyB+q1/mjzMun5DQLsaz0mWd9vRQijAc53YTmqN1459LsZtN5p8uPPjsq+UjOP6/64E+urGdlVMpCPlsp0pPN/TSYkhNZJyw1C17OuNwmYkT4ay2VIneD6m+LsT85W/2lV9QYW/G0ggjQ4XhSZ+IqATndBoQGGgogSanZKV4sSd01pJLhO18Je7rTlKUcAWRYLroQMRjeooSrNTChdk4c3gaHRPb07wfStUnZkk+TYSTbkisvQm4tuq6Jt89UbTGf0cuVlYMHqF/kG3K6NUKOCqy3cwnF5MneyczznG6l3iwLQkbReHOQ8kGWlwM86SPWW6UfTPAlNKDGVgYxUqony/Pqs0o7BUzgr0Q0h7ORV2ZboBKUA3lcvwxppLQtvuxNMpzVEyIfMoyH48o691rCm73w1W7yJQ2fkNNNEBLI9o14mlAz+YqiWxR72ZEraYqUx7GYkWaYCIJIj3FXPMlLej3J32amelohlpUe85xfoD/qf4n8IadbI3jzP7Qk6+jlGnhEUg76kncBYGHAUzWIj7rN4758+VaKyEfvixRlopdLhUHQXdRkpeHpBU2vHWgRvZyGyeKkad9YHtHLdabxrONk5PGt2PX60lgWyFbls0gozaUqrAEhiIxYtBaAkB9uG3Gjt1gSopcn7INSWBwiO+JLLJ0Px9sbft7kUUsaqj/i5FsGpFvtUbRe55E0X60NkE4ilsGQc8uLkHSnAJYysYQ+Jadn8YtqYxkJhZT1KjpOjJiZbYC9BIAJEYcFTAhnl4DJDhYNJHwUcVrAkGU6WRC1CGDW1AoMOWxgrqD4vWYBLJKd8qMWE/y2IsDvz+o+ubFarTCbzXmnQ063ZqhQ6zlpWPgjF8Wk71aEhN/5myVVglzywl3+M44WkgdY2iHHnjT5UWrAxZ2tEDmhVTmS/YiTSTNZrz4znEsphnwbx/bqmOw0HVK1o6f6ziCADZkG08AJEMxWAIBPEGDK8uWBA0JSvr05pJMN4TTp7zYJMEXFnx3NQbaQIGCDWQA2bMjqPiUoKytDXV0dhDxW1pHTrWO42yObAdHlsSrnI5fGWdqgQqYAUhL1oX3x69vpTnXaqrT7tFpeLudSSLlIvcMRkKFea2/gOoYnJ0hLl4wnPWQHv/07XzrNM6xq1ncwQUgKiMpvWSlHpjyrqxEGIfVig34Ie67WFjZkGixDD0dVZTkcVhMEAGaTgEgahzVlOoIJAosmfJZLOtkgCOJds8VsQjgSTf1lhnvFMAkC7BYTUD4ouxtlhDEGr9eL1tZWAEB9fX3OaZHTrWvEd3nyiXZRlvNHgk4lvP1KdNjErteDPoyHdNdAq/IROTKMM3vZq0el5RLi/uW1zdOGvN1cg6hT31v9+arXfaSyLRZzZvSlcPnkTV9W+tKKVDKNZbSwX6lB9XKUTYYGhZntMA2cgKrKcpS5rLHPc3e6E2XS0um2mk0ImdIct5qj0+2wmgCHI7sbZcbpdAIAWltbUVNTk/NScwqkphFKvhjV90BDeZRTT9w5z6IFHLcPKkdBBDBdTgLy5hwmExdITWFR5U1ew0BqKYNk0Tnd2sOZcjLNiiliwry3N1kioUjlyHHmdpoz20pDZqda+zUY/PeLmdG6Leb9dXkC9mIIZmuvI6kE+qmekuCizPbgcrkAAKFQKOc0yOnWMUZorAF97B+LyjTTLQWjlKseyOXdt1blI8kGOaBPO6pGL9eJbtSCAqnpHyXrTz4pG6l3yjYvYu1MIfbZesuzHH2EPP1Mr9tFbaz+yGcvdx/kdGuEPG+kjYEh8iHE/oc+NyD1ZVJ3HaWDj84u23Ljr5NOzEHCkWFpprqVngXPFk2PDEvx/L16zDdtzhStI3h6CZHKRtR5rr7tR6sSzHRkIm9HhuVzTnf2cTJSv+CTFG6z/216XK4Wh1olLV1L+tZnbhRCno2VR3K6dY2+jFG8j9FBPuSaxZaUVR3og1AfERvk7SXAXrgVjCB0ANUf/VCIZaXFlpH0SH2mzt93EDqGnG4DY9R2Jf+36QpFLxf6ojZnnXxW8BF/Ezn1XMmzohwR59Smnz2RQeockuBp9jItsm2zIHJG602Wceh9xpkXJJWoVFXnUyQpbEts9lcV8vGg1KonKR5D9UJO0q/OiL8q36cUMjvb2nH1DbdjxMHTUD7kQAwdOxknnnMRln65TGvRcuLTTz/Fz372MzQ0NEAQBLz11luKP5Oil+sYAeKh+fWE2vlQrrOT0iBLWV5ujHJNhu9BhtQOlbfBEm/2snd5OV9yFRL5Dg6FAh9c8gBv7UwfRnI85MqLALHzqvgsQzlQzT6Nq0Ldcd7FVyEYCuGpB3+PoYMb0bqzDR99thTtuzsUfW4wGIRNgXR7enowduxYXHjhhTj11FMVeEIyNNOtEbS8RV9ID7KV6XvjFLyR8pLI3qEYT8PLbNcIqNPGaD8Ep0Bq/KNJW8H4qr/Zo1X7Km3WMBE+jwxTT57cy0q//age5ebLPvVER2cXPv/ia9z16+sxdfJPMGjgABw8fgzmXXUpjp9xVOy6LVu348xZv0DNPuNRt99BOP/Sa9Cyc1fs+0vm3oizZl+ekPa8236LY047P/b3Maedj2tvvhPzbvstGkdNxIwzZgMAVq5ciRNOOAFutxslJSU44ogjsG7duth9f/rTn7D//vvD4XBg5MiReOyxx9Lm6dhjj8Vdd92FU045JS/dZAPNdOsYseZDb82KPuTNLnp5PgHTjOq4817O/GuVdw32sjd6ubLoQxvawL8tE3qFN9vKpz/kLS96RQ+ndPMMYwyBMMvhnG4h6XhaCxMQjkhPx2YWJEXlLi5yobjIhb8vfh+HHDQOdnvy3HM0GsWZsy9HcZEL7735AsLhCH5583zMvOyXWPyXF7Iqn0Wv/xUXX3AOPnj7ZTgsZmzbtg1TpkzBtGnT8OGHH8LtduPzzz9HOBzuvX7RItx222145JFHMH78eCxfvhxz5sxBUVERZs6cmcWTlYWcbo1gMkxDiZ8FzSdi0mabDy3epmd6ZmK85vzKRW/lmg08vTAQhP7LaPeWYro+SKs88HhcTe+yytTndOdvx9Lu5212jQ940ok29inofKpbSdFZmjIRgAzLZNJJlsshjFoiZ/Ty5PzGq7H/XX3tNk99Yjaot4ZAmn6y0SNvGg9GGK79Z3PWcjGksCshu1Vu9x9XB7slc2laLBY8+cDvceW8W/GnF17BuANH4fBJh+L0k47D6FEjAQAf/vs/WPnDj1j13w8wcEA9AODph+7GwdOOx7KmFZgwfoxkuYYPHYLf3vorCALgtJpx872PorS0FK+88gqsVisAYL/99otdf/vtt+Pee++NLRMfOnQoVq1ahSeffJIrp5uWlxsRHQ80dI2Eme6Ez3MtJwM75Vqi3z3dfMmjmhNM7Zwo9CJC//D68pU320onTSZZc8tLCqeb07JSEiHdGwUNUCOQWqFz8vEzsG75v/Hac4/jp0cegX//50tMnnEqXnj1TQDA9z+uw8CGupjDDQD777cPykrd+GHN+qyeNX7MAQl/NzU14Ygjjog53PH09PRg3bp1uOiii1BcXBz7ueuuuxKWn/MAzXTrmgyNjG76Ad0ImhkhfeMvzUGS0nloT07OXv/BCQ8ZSQXngyiexBO3gzxXfGQ1c0GDKVmRUZ3SBsPyQzv91YMVSHRulmO080yuP6EPlGpRbGYBD55QL8/ycnP2y8uzweGw46ipk3HU1Mm48ZdX4PLrfo3f/vFhnH+WtEBkJkFIWukbDoWTrnO5nAl/O53OpGv68Hg8AICnn34aEydOTPjObDZLkkstyOnWMeKzqfpC7c45l+cp0diK7+mWuqxWX521ngZh6aM355+PXFIQt0E+9ap0eeutnSOI7MilnyK0oRA1z1ueeZNHOoIgwG4WZHO6zUqfWxvHyP32wTuL39/z+3Bs3d6Mrdt2xGa7v/9xLTo6u7D/fsMBAFWVFVi1ek1CGitWfp9yBjueMWPG4Pnnn0coFEq6tra2Fg0NDVi/fj3OO+88ubKmCLS8XCPkqBJGGXRmmw9u5y8kvQXPPcAaoSyxo64yTCPzVj7pXw+oPxDZe2RY/ilJQ5DlaUYi/yPD5EWbF276HYQDyuos/Y7t9NaT6tu+zxJnvPnXv5xHhvGfW3nJbJ/yaCS7k2OULQVFx56cd2Ft7btx7BkX4OU3/oZvV/2AjZu34M2/v4v7H/tTLHr5UVMOwwEj98OFV16P5StW4uvlKzDn6l/hiEmH4qCxowEAUw//Cb7533dY9PpbWLt+I+6656EkJzwVV155Jbq6unD22Wfj66+/xpo1a/DCCy9g9erVAID58+djwYIFeOihh/Djjz/i22+/xXPPPYf77rtPNE2Px4OmpiY0NTUBADZs2ICmpiZs3rw5T22JQzPdhIrot1vKvrFVbhWCnmaME9GP3DmuIlQUbl82EQSH6L22JAfeIlIj3q8o0Wamelohlk1yCFL+2WsP+hmL8EJxUREOGT8WDz/1PDZs2oxQKIyBDXWYfd4ZmHfVZQB6Z+xfe+4xXHfLbzDj1J/DZBLw0yOPwB/vujWWzk+nHYEb516OW+66B4FAAOeffRrOPf1krPzhx7TPr6ysxIcffoh58+Zh6tSpMJvNGDduHCZPngwAuPjii+FyuXDPPfdg3rx5KCoqwujRozF37lzRNL/++msceeSRsb+vvfZaAMDMmTOxcOHCHDWVHnK6NUKePZlGaThyOxNUVSR5YcKe/9SJ2qxHeO6c4zvktPvytdpQLWKDWgbxEVLoSu2BDROMXGNyg6sXNCz2vwzXEKqRVt8s7QXpbYsju5NA9vUkzfVZ2nAserlBbV+2bkliOgJjXMU6MRp2uw133nwdfvPr69LquXFgA15b+HjatG6ZdzVumXe16PeL//JCys/HjBmD9957T/S+c889F+eee27aZ8czbdo0WU6SygZaXq5j9DbjKWbbauWjr7vMxUmRdEdC9HKRSyQ8O5M+Ymnrq/j5j/Aqofx60erIsOy/0QShb3l5hmOJcks85zsLCh6XaqgOyxCbgXc4q9d9cGZbeY0fcshLakddSr/Ol97yJxu9q5H3LAJvclq1COOjitP96KOPYsiQIXA4HJg4cSK+/PLLtNe//vrrGDlyJBwOB0aPHo1//vOfaoipKkruAOpr3KldyYxUNyv9vdmksbdU9N4J5zbYEbtHI13EPZbFPto705NqTMbby6608mTcdid/XuRKMVPnpPf6oyQ8WahWUcR5q6fZIo/8OfRrLP1KH6kbp/RQO7PVsHjvlfqb9OkzSVdJR12N81a/eJOHIFKhuNP96quv4tprr8Xtt9+Ob775BmPHjsWMGTPQ2tqa8vr//Oc/OOecc3DRRRdh+fLlOPnkk3HyySfju+++U1pUomDIpXGWL+AKwQd6GBQmoj+J5YZqjzpwNpmZO0bJB5EGtVsFMqps4aXdzvXIN4KQC8Wd7vvuuw9z5szB7NmzMWrUKDzxxBNwuVx49tlnU17/4IMP4phjjsG8efOw//774ze/+Q0OOuggPPLII0qLqjtEHTidrT/O1hFNdSaoxAeJp5npmVI6WgnLaqXIo6Zjnl8XlL2cyft/WY4pKQHfHXK8DfKhL7EtAxLqgSRVZwhZlBDJh++yUx9+9KHVi0Z+NKAdYprPr0TSRC9PWDvGSyuVDvmsJG1EeBWMkTdtJ8qTuwKyyZfSOuAqVoYUdCZuIaCo0x0MBrFs2TJMnz597wNNJkyfPh1Lly5Nec/SpUsTrgeAGTNmiF4fCATQ1dWV8EPwCS+dgpDyjxxap6Rb4j9QMrc8OapyoX3vkDBgTDNKkmUwKWPh8Ta4le0YnhTJ0EyFNHQ3OFQCnW/cTK7XEso0KctKRO/Wj21lai/kPDJMe/hdXq5Guy1NHtp6qQr6aSJUR1Gne9euXYhEIqitrU34vLa2Fs3NzSnvaW5uzur6BQsWoLS0NPbT2Ngoj/BKI0Ot5z4wlUSyz4cCA4k8O2epEknpGKTog4eSl7MUeHOm+BhEJZLtAJGxzHYiR6R9sTTUbJ/05AgUIlrUJx7rsNrk2q7mqjvj10P58heLXi6TnfLWhxoS0jGRJ7qPXn7TTTehs7Mz9rNlyxatRVIRowwq1I1ertwD4mZK83I4MkUv12e58y631AEjb/ngTR4pR4blWheNP6iXB9JTL3rWAq8v1XmzrXxeh+eSl1TOrWhZ8VmEspDRPln8ryrNdBtY36ngtY0QRWfiKoGi53RXVVXBbDajpaUl4fOWlhbU1dWlvKeuri6r6+12O+x2uzwCq4iScUn56hLjyLQFXQME9J1KmqcUggApe1njv9Nd+cmAeJRXbXKd6qm9nXe6Gspbz6HcC55MpFusl2+JZrrfyPVEe2Rdx6LJUm/eXkZlT/7yi7aracMtyKQ3vTkEEhDvpzI5fOLR3WWb6Va9RVSpfCU/Jgt5jGeahE5QdKbbZrNhwoQJ+OCDD2KfRaNRfPDBB5g0aVLKeyZNmpRwPQAsWbJE9HqCUAP5OjRq7blBQ68tlyMDeZthUprCyi1/kP61pb/+aWVratIfb6bEnvZUMhQeCXEsdaIBGn0RWqPoTDcAXHvttZg5cyYOPvhgHHrooXjggQfQ09OD2bNnAwAuuOACDBgwAAsWLAAAXHPNNZg6dSruvfdeHH/88XjllVfw9ddf46mnnlJaVB1ilCYky+jleTfwCh0ZJtuoKHMsdR6KXv8zSYkkRt6N/02uOKz5kuJQcaSTR0L8gHzEEX1q5uXl+act7fNCJV99yKlNKWnl8hKKSEaqHvPRdyrb0mv9yzpORtrvkr9Nq2UDrgSIhyX8nk/0cml6Su6p5Uevdk7wg+J7us866yz88Y9/xG233YZx48ahqakJixcvjgVL27x5M3bs2BG7/rDDDsNLL72Ep556CmPHjsUbb7yBt956CwceeKDSohIKo3UXk84nztSYSgtSkvm4FO6abBUFUntGIntEjqPqj0aDJVEb5G7wlrkspVSn1JfwYCd6gPQkgOlcDQouL88Lfca+SI2KK9gUtkW+l5ercWYaRS9Xmp1t7bj6htsx4uBpKB9yIIaOnYwTz7kIS79cprVoObFgwQIccsghKCkpQU1NDU4++WSsXr1a0WcqPtMNAFdeeSWuvPLKlN99/PHHSZ+dccYZOOOMMxSWSlsUHScLe59hxCVpcnYuQuz1aPZpJr1ZlaJs7hykPJAhL5l3uKsHS3HOuuieb47QVp7k6OVyRdHNmIz2JsMtvEUy1sZG+aqn2pBLvyZ+IgGQ2rZSndOtB3irJ/lhpLxkjxptTKG3KOddfBWCoRCeevD3GDq4Ea072/DRZ0vRvrtD0ecGg0HYFEj3k08+wRVXXIFDDjkE4XAYN998M44++misWrUKRUVFCjzRANHLCUI6+SxxkksCSeuCCY3hcY+asTr83PRrLB0QSsNfLSZkJ83LX2XaC7KqJDKohNpt/dPR2YXPv/gad/36ekyd/BMMGjgAB48fg3lXXYrjZxwVu27L1u04c9YvULPPeNTtdxDOv/QatOzcFfv+krk34qzZlyekPe+23+KY086P/X3Maefj2pvvxLzbfovGURMx44ze7cgrV67ECSecALfbjZKSEhxxxBFYt25d7L4//elP2H///eFwODBy5Eg89thjafO0ePFizJo1CwcccADGjh2LhQsXYvPmzVi2TLmZe1VmuolklNzDRl1CNvTOV+e7+7VvjlQQlD/GQc/lKx69XHtY3G9SI9Cri9iC69zlkSMv/aVS5AVVLO1U++6J/vBQn/aizfwnbytStCCfndu5oa9amX0uZVxlB5nP6ZYlFWVQ7cgwvcIYEA4CERnywIS96UjZ6G62SVqlWVzkQnGRC39f/D4OOWgc7PbkuedoNIozZ1+O4iIX3nvzBYTDEfzy5vmYedkvsfgvL2SVjUWv/xUXX3AOPnj7ZTgsZmzbtg1TpkzBtGnT8OGHH8LtduPzzz9HOBzuvX7RItx222145JFHMH78eCxfvhxz5sxBUVERZs6cKemZnZ2dAICKioqsZM0GcroJAjJ1CvHndIvu6dZxx5AnvO3pFj/ExZjbMtRDSeVRwUhDjvYMfI/kM1CIltK/uMQDD8r3DK1J36fKv0clV50qbY98L+3XfpVhb1qc6igShPX9m2CRYcJGEASYmXSnO/DT3wOWzMcuWywWPPnA73HlvFvxpxdewbgDR+HwSYfi9JOOw+hRIwEAH/57KVb+8CNWffEBBjbUAwCefuhuHDzteCxrWoEJ48ZIzsfwoUPw21t/BUEAnFYzbr73UZSWluKVV16B1WoFAOy3336x62+//Xbce++9OPXUUwEAQ4cOxapVq/Dkk09Kcrqj0Sjmzp2LyZMnKxpDjJaXEwSATJ1Cdo210jPdfAx7cpODifzJW2fIh47jibdBKdIxSdfJ8WZd+0Wc3A6m9IqM6tSsvTJS/IycyW1PtxrP0SPytjOs37/5UhhloC2FreOTj5+Bdcv/jdeeexw/PfII/Ps/X2LyjFPxwqtvAgB++HEdBjbUYeCA+tg9+++3D8pK3fhhzfqsnjV+zAEJfzc1NeGII46IOdzx9PT0YN26dbjoootQXFwc+7nrrrsSlp+n44orrsB3332HV155JSs5s4VmuglCAtI62+waZC0OPkslAw1Ns0MrJ0LMBnl5CdOHkg4wEwQyWAnQS4heeIzNoChS60Zedcg40ctlrSf8Z1cz8mq3Jd4nxd64bRfNNoRn/B5hGZaXW8zC3nSkLi/PAofDjqOmTsZRUyfjxl9egcuv+zV++8eHcf5Zp0q63yQIYP1eiIZD4aTrXC5nwt9OpzPpmj48Hg8A4Omnn8bEiRMTvjObzRlluvLKK/HOO+/g008/xcCBAzNenw/kdGuEki/hjT7QyLXhTHsKlByDeQlrkuXbv6V9Dy/rO3+NnKn4PPTZlSB2QdyVfJFGHhVETYpeLsEyJL3CEtKfexvfznE7mNII/vSR3hCVMFM9OH1Kk2u7mm1cEsabuXGGGupRog+V66W8OjVRjejlCpWkIABmO5Ciz8s6KbMJEKKxZJVe8DNyv33wzuL39/w+HFu3N2Prth2x5eXf/7gWHZ1d2H+/4QCAqsoKrFq9JiGNFSu/TzmDHc+YMWPw/PPPIxQKJV1bW1uLhoYGrF+/Huedd55k2RljuOqqq/DXv/4VH3/8MYYOHSr53lyh5eVEQdPXhMrfLomlKOOTdDemVDvKbO6k61rl6HblzK/2413eSo8ggEK0y+Q93dKuUwIeXnpkcpJyc6L43CevvbaVQWq+tO8HjU1b+24ce8YFePmNv+HbVT9g4+YtePPv7+L+x/4Ui15+1JTDcMDI/XDhFddj+YqV+Hr5Csy5+lc4YtKhOGjsaADA1MN/gm/+9x0Wvf4W1q7fiLvueSjJCU/FlVdeia6uLpx99tn4+uuvsWbNGrzwwguxc7Xnz5+PBQsW4KGHHsKPP/6Ib7/9Fs899xzuu+8+0TSvuOIKvPjii3jppZdQUlKC5uZmNDc3w+fzyaCx1NBMt0YYtYFUB/Wb11Sds5D0Gjj5nOeke2QRRr/Wo3Rk96yJK5BYGTPGn5yIPwtXPtl4GBhnBw2t9IYAPdpZIcPfOglukDHCZl9KPPY18mMUizJKPrKnuKgIh4wfi4efeh4bNm1GKBTGwIY6zD7vDMy76rLeiwQBrz33GK679TeYcerPYTIJ+OmRR+CPd90aS+en047AjXMvxy133YNAIIDzzz4N555+Mlb+8GPa51dWVuLDDz/EvHnzMHXqVJjNZowbNw6TJ08GAFx88cVwuVy45557MG/ePBQVFWH06NGYO3euaJqPP/44AGDatGkJnz/33HOYNWtW1jqSAjndBAFAliinEqKXFzL5RZlVmTTiGOnIMDlIPjJMnrJMlQq5A9KQQ096j/cgxP5XyMivAN7qoNrtnzJPkytCizZkejIdGaZ/7HYb7rz5Ovzm19elnfdpHNiA1xc+nvaaW+ZdjVvmXS36vdjxYmPGjMF7770net+5556Lc889V/zB/ei/t1wNaHm5Riha2H0Tdso9wXDI6SikX5osx7nIvJSsfKecajeQS3VwWPpzumVZaSDrOSh5JCaDHMm6Us7pVuAxBiU/5ciqWiYtjr7c8NNOakcu7aog8dyDfJ8jF2qWs7zbgtief+WBt5chqlMQKwYIvUNON1Ew5LMyTLZAMdQxcIPeAg7yG6woh5cvOeeFWyUQ3GGstlbGlc15UejOXaHnPzf40BmVHaE15HQTukPOhnPvQCaXgCv9PoslVhhNe7YzDL2BOftHut6bGo+kLnWNjwzr93jeZvTkejmQKl/igaH4tB+t4OkFjST7VMiEOVKDRqilgcLQtDLndMuFAmUgU5JGCdzHV09L6BFyug1IYXR/8hKVRWvZHRnGw0wrL7Mn8uhfHXiTVGt5FNvTnSKZ+LS1zjfP0EsIsg9A23aVt5eBqVCznijd1/Lch6qzp1uCHLwMeIiChZxujeC/O+KXVLM4mjfpAvr1qqlLWDY5uTCgbIXgQmhR9p7Tzesb8+ysR8oz5MkrB+VKgymu0aZ0OLBLHSIwfTjM8iDfkWG5Uyi61j/yvDyI7kmL0BtyxOIip5soIHI/fVlaY6vO0NKYAyI9OU0aLy9P8Q1fyFVXJGzpIEQgPRUiyWPC1HZAoUXkR3ud8lznc5dNul41LwBpBDxgkRD8oajWkhBZ4vV6AQBWqzXnNOjIMK3QSfuQDu2OlMmtARc7cAlgeS87it8ant4plk9j8qSkbimK6UarZV+CyF/pz1rXtvImxwrPXR5Zoun3GxVJeUElzeVOsaebZrQlIcuRYTI1DRlPA1CIwjj/uD/96qJofUnfR6WznlTfFkr0ckDISaepbhFi/zJ5DsTQsm3M8Oj8ZJOmHGl2oH3/IUQCiG5dhl1WJ4ByOKwmCADCUQGRSP6GEIkyhCO9Dr0gyP8yKF2a5oiASJTJ+lxB2BMPyO+XJ8EcYIzB6/WitbUVZWVlMJvNOadFTrcB0b5ZKVDiAqmJXoL8324KYFy8s+FhYZ5ipO0xeNB+PCLyMCmS8nuEXaZ0dWNLREaUsCCBdrZrisBoJi89uW8y4q0H4gP9aEXY+DHCAFpDEyCYe2dNTSYB0Wj+eTCbeh1fABAEQfbjidOlaRIERBmT/bk2iwnoiMiWXq6UlZWhrq4urzTI6TYiNNKQjFRVZbu8vDBnWdKj9QyxXGhVvcRssGCre1zGyb0iUmIgs5AUKEpiWvm1xMZRarZR/tO1M8bo3RLhwcGX+nw564f4Q2QKEgoGYeNHYFs+B7OXADCh1GXFbm8o77Sr3Da0dgUBAFazgJAMs+fx2C0CAuHUaRY7LejyhWV9rtkEDK0tAU64X5b0csVqteY1w90HOd2GJH7G1TgdZN6kUUWmQbukQb2EBtlIpSGLE836/uFHM5lnWPna0631y4z+z5dWV+S4hB+b4Q2e6hMATTa8CtT/5WQHvXrT2tUqJOTRNXd1Pg51opfrz2aFSBDwtgEALCYbBG8w7zStNicErw8AYLKYIITlXXFispogiOxHN8MKwRuS9bkmkwBHMAQ4HLKkpzUUSE0j+FggrE9SNuCKt+nJD0g37ygmTkLHwG8fqQjcdYr99J9y1oOrMuJKmBg5Od05IpY2Z5alOfKUAZ/2JhXu2hsDo9c93erKre/6lI5MOeP5hUA2KJkPHo6QJZSHnG6NMMTqY83aCDkDqfWScaZb0iN7m82CaTpzMmKRQGocaG2vDBkCP2lUeUVtMA95lNG6XIHUiNyRKTCkDGgVSK332YVNrjPd6cpL6pLsQtd9Jvq2oMmlJx76UE0xxKBaXgrcIriEnG6CkAsJ53TL0THsHRDxtay4UOAt39rL0z9iskzJpkgnfmBJAwpxZCsDXaN1vVAfqd2LofwTlTMjutomgxiyVUkd1u18XghILV69RC9XGh5yyIMMvEJOt0YwGaIUihGbrzNSx6oUe5Qly57uviTTKF57B0lbkpcisz3/8tNMCyK/a01OOsrQCMhyZFjeKYilm41sPJWUAZD1+CGa5dYKJdpV6UeG6aGvy04/uesz1fY0lvBvvvDUhxoVRS3aAMVHPkdmyOkmDIEaYTp4kCIBauDyQn99nD4kpsGf9lAZGBEqU0Jd5Hr3xkt7xIscROFCTjehO3L2NfOIXi4p6Sx7qHyeKJe/nY8Mcs7aa9YZCqJ/pLlF27cd/Z8uJg9TLVxjskQZkeeSOAloMJUI6YPeSuZTL+TcBsUvarUbajyF7zbQKNHLedZxCnQmbir4b0Wyg5xuggCQqXXKtkMT6wDkWc7btyRbW7LNS/rr9dM70JFh/Z6v4poyvgeWBE8IjOmpWclIbrOOBlKACGrnUJkl+3Jg/LJOh5R+UOsxU8FQ2KaYFnK6NcIIR4ZpVa9y7fTUW4Kuwp5u3ZoPX4Inhr7rO+5Nu2jLkpBVNPnzKaV+ylIXc1il0AfHpSsLPL2ckFKflHpvw48W9IMABiFtefCnVbXaa0XqVQFshDVKYEee2lUp6EvawoCcboKQgKTGVkr0cjnQbSed/zE0hQyvHb5SA95MueVTGwQvcP3iTCUKo13VSTnLVBaiJ0cqUtZSt1xRa03shUpbHHK6NYKxqNYiEIibm863lRD2plYog71c8ik+g8JRM80Y9g7kxKPO8kI+8iiRF7leDgjpp9uINMgSo0ImBPBXZ4xK8vvYXI63ynBOd6ro5SnWvhuyzNOs8c/2Xbjc0cu56kNlRN4jwwhCW8jpJgoIeTulXPbYUcdAALktVjDWTHdueeFVB0ZE75qmtrYwULucqQ3KHn50xoscaqFufnW7CFNFyOnWCDWCDxnX/pXY0y1DIDWhb6a7MMhppls00jZfWuurn6mk4m0wz5s8cu3pzi56OREPV/WJRmIqwvr9JboYWebnamtvuY6nsq0nGSITiH+V4jFyt9tc1fl+5CebND3x1g9qhpDyV+2EIBIgp5swBHKdJ5kfQorf+l8hR/RyTshyoJPtkkVukcWJkHGAoLlTo+bzdWQnhMZoXS+0R1ftKpEXBV/WEvrBgteR4ohPVhC9kNOtEYoOBwxu8TwOpfoCiWRUveYOEl/wpI346OU8kmrfZPobZLomA1oFUouHBlN6R34bEsgqcqK3PmdXHtprWp2ZbqKw0YO98C9hYUNOt2bwObAn8iBhWY/xyzfbxp23uFi5ro7grVPjTZ6sXw7kCG/55gm1yoDgC6lNLGdNcV7wsqc7kxSFXCPzcVallm4h69fYGKm1IqdbM2jCM3eUGFDK8wZTyjndcsCL8eQiB797ulnCaoV0edNK//Lvz1Rmu4NM0ctlSUUEXqqQYmhfn/rQ6tz7uAMlCpZc2lWB6e+lsVrFLG8/JW/0ch76UHHUkE1fNmtEqAQyQ063Zihnnmo1vTSZ0g9JCtlb7rmqr6+TlsOC8ilDeQdm+jEm3gak2ssjNXiTzOjHZFSH7wG4WmhdL3hAuxfU2rdLSqFE3ZKlN5chDf09eq8IEnRIg1ZCY8jpNjJG7fNyJU17m2kgkc3serrG37gDEWkk5Z9TdfDYNecSaTfzkkeNCkBSVpJlY6IRCnksMaIXKQGOlEHgsiYbD06bcQWQ7+SUQrJMo7wE1F0+dCZuIUBON1EwpGx/8mqU+t8c/7eUt665PpWPIU72chgjerkc+pd3jYC29tD/uB4p0kg6MizDReRQicNHC6EtahzLyTtKtKvS09SD/o3ThvDch4q+LJURKf2gHixSTvi1COkYrRknp1szDGZJqqJFUyLxnO6MjoJc+7eMhRqdciqElH/xrV3epFNqT7fUpwG5rALgTYtyw9dwS7M93QVGfy2Ltas5nzctitba1r4+5yqBbGMCBYpAviSVD6SmCrSiisgTcrq1gquWJFcKuwFKl3tpsyyFpb/0g4vC0oWx0P7IMEJ+9D++NEQnmye6L8SM5OO05uKoKuHcyjObZ/yyzheeVwMYAWpxM0NOt1aQdeaMFg2ntGeqdVTSnt26GtsQb8us86VvMJXpnFqtlnOLPTVXeTJHac8NGthoT95lIGMRCkBmr4KnhkDPyHBmmFbR5nNHPVnTPilrMVi/f/eiL/1nJq/2SKIq1NCZsUqF0AJFne729nacd955cLvdKCsrw0UXXQSPx5P2nmnTpkEQhISfyy67TEkxNYKqr9ooHsxEwtSQPB0DL7YjnxzaOGq5PpMX/feh8Z7uHKKXk1uuLPTiw3iOSy4lqowdSIxebrTNmDH4rFta1nk+Wnyj2lvuqG4RVAQZsSiZ+HnnnYcdO3ZgyZIlCIVCmD17Ni655BK89NJLae+bM2cO7rzzztjfLpdLSTE1QQ3bJPuXjlwdloBMg73CLhVx3XCxqXsPcTM9XI2vclkLKXuK2T8kR1LZilg9LexaJT9ymr12zi9ZRe7RtrPTXeG85JFxlzPrO6dbthRlS4kgCGVQzOn+/vvvsXjxYnz11Vc4+OCDAQAPP/wwjjvuOPzxj39EQ0OD6L0ulwt1dXVKiUYQyiCos1tD3hkEAbkOTuWUQ4vhcc7npHM2g8ObPJKQGJeQIPKh0G1IiZZB6p5mtVSfrv3LeBSogRxVnnsBNWRTOo6OLm1FK5F1qCq1UMxLWLp0KcrKymIONwBMnz4dJpMJX3zxRdp7Fy1ahKqqKhx44IG46aab4PV6lRKTKCTSNgSZOmcptwhxv6XuAOI7hpydvhzvkzutbO9Nt1eQhw4tlQxKbUnIy0/ud7OYPGoNwvo/P5sz7dOmm0JJ8WWU+Bjt7Ycn5CoDedDX5hFukZCh/lH5xVeGyNs68L20Wd67c9Jp5oNN8oaHPlSMfGSTaqtSnpC/jvjVcR88SMiDDLyi2Ex3c3MzampqEh9msaCiogLNzc2i95177rkYPHgwGhoasGLFCtxwww1YvXo13nzzzZTXBwIBBAKB2N9dXV3yZEBxeH4vSSgFz8t5s4cXOdSGt3zztaebulweoDIw2p5u/aGW/o1XzrpcvaQ5pDOtUeIoTqOVatZO94033og//OEPaa/5/vvvcxbokksuif0+evRo1NfX46ijjsK6deswfPjwpOsXLFiA+fPn5/w8rVCyTTX6cEveN7pS05K6HlaAwNJFfy3cc7p5PDJMSHiusPf/HA56+uxesmSSLuQvnzGyMAmeZ3n0S+5bT5KR/2RoQgrZ14tMpzcUcl1je9Zr5US/1Sd7+0O5XBWey4Vn2aRTyLZPyEPWTvd1112HWbNmpb1m2LBhqKurQ2tra8Ln4XAY7e3tWe3XnjhxIgBg7dq1KZ3um266Cddee23s766uLjQ2NkpOXzM4HNQT+aLmkWHaI6ccfORIGrzovw/t5cklejkNXpSEBocAaUHbdlWtdkn79k8Jss8Tz1pQZU831xrQBupn+SNrp7u6uhrV1dUZr5s0aRI6OjqwbNkyTJgwAQDw4YcfIhqNxhxpKTQ1NQEA6uvrU35vt9tht9slp8cLSizDUBsjVOe+PMg7PFP2jOe9Mmu9rDgXRPZ0a7EHVeSRmeYytLJ7ManSyZPJQmSxR9bf6ZYHJZdY6r/1TY8c+ZPLzjOd6KBUMRttia6k8uiXZdF2NdM53WlVJ/HIMElX5U8+z8m23097ffot3eLfyWSnfMVxSCQv2SSf000AIEVwjmKB1Pbff38cc8wxmDNnDr788kt8/vnnuPLKK3H22WfHIpdv27YNI0eOxJdffgkAWLduHX7zm99g2bJl2LhxI95++21ccMEFmDJlCsaMGaOUqJpAb+UMiKRzugmCIAiCIAjCQJBbkxFFzzhatGgRRo4ciaOOOgrHHXccDj/8cDz11FOx70OhEFavXh2LTm6z2fD+++/j6KOPxsiRI3HdddfhtNNOw9///nclxTQeBvfslFg0mOkYFGmRreP2BCva+jAZpxPzlCPL68VnULQ32sQy1tNZ67zJKlP08hTJ0IJhqfCkp0w2SAFO5CJZk+qca596JtOAgdRym+gWSUpuuXmOIJ9P9HL5rsy3/6D+h8gXxaKXA0BFRQVeeukl0e+HDBkCFre0prGxEZ988omSIhUcBlthZwDkWF7OR6HKu6dbP50ZL/rvQ2t5+j9fUllKuYQar5zRU31SCq3rBQ9oe5QX7enOlVzyxHOdV0M2I9pB3qhsEoqUgMGKVdGZbkIcGk/mQ24tSfqgEpnO6ZYWvbzvhb/Y1YXcMfA7JOiHDGepiybNWfnLkT91bVpI8VsOgzq+ioE75LZ7Ldq93mfqptXhiFyil+tTz7k4g7k6kGnHBHpvj/RZ/IaEh+Bp2kvAL+R0a4beW1kiGbWaGl5shxc51Ia3fPMmj1yLDXnLl56gYQ9AWtAWAy4vVwmy21wwnh3kC9kRf5DTrRFKNg88vOlSEm6b1ti+Nol7bHM97pMTBeQmh0j0cg1stv8T+2QQkO6cde30LxYBNld5GCDTkhuFopfzW9O5RxbNyVQltdsmUHj20z/HYu1qOs1kijYvFbXayXTPkbsNYXu0k/q7dCi/513b5eUyrBQUvVeiBBIuzEcO6o8IOSCnWyuo/hYkcgxEeGn8eZFDbXjLt9byJL28kO3oGr70TOgLY796FkFqlVGhahXcnm5OxDAcko8MowLQGiqBzJDTTRCQ6y1x/H7T1M1P/Of5PlFvDZzAkmeQ+ybBuAsC0yeY/Ju680B+HeltoCI+c5ftebvGJu8XHzKaWiYbM3pZaIkiJ32kSJO79lsi2cst337uvnqRun5QIDVFyLNd5CYfvNJntqQmUcjpJgi5UK2h4WWYKqccemqledF/H1rPdPd/vkxHhsmSClGo6O2FkjJoWYtoT7e68NxiqiEb2YERMVqpktOtFQYIXy7bKlIuHpxhT1LWzxQrX3mODOPBerIf1Iq/0echP1LfYssxmM+n+ie7uGL75NVqZrLf0y1F06nyxYSEC+J+53nAqTb86UKb2W4eWhX5yCVWSy4aSLUiKZfnGHV5uTKrB/hIQynUkE2KHcgx+tIT+pK2MCCnWzN4biKJ3IhbXi7i7dDsC2E06Dxtgkd6nUeCIAiC4ANyugndkfNQKq/jRaWd060qOvN10kYF12imMtVjM0Uvz4d8Us3e7jM/TYl8yubqpHTmc4kcXIjkVwaC7GdgZCohKkFFyKldzbQqoXBfZTAIiatt8mBvMsn6zqld1nC1T8YnG2QlknxBQolChZxuzVBnkEFDGW2QEkgtV0yI5p2GHMgpB08DuUxlxIv++9Bantz2dGe+xkStlyHQanVPIa4q6r/xSDzwYJojEWV66ahWu6R1+9dH9pu++gKpiX+XXWr89KH9ye/IMGm64MUO+EJdm1CqxeVjQ6U8kNOtEbQikw+knKydTWqZmrhCHAgSqchlUEUkwu8gU0sYyFZiGMlEuM4L18KJku3MZTo3OWcZqLaqBs8vJowB2XImyOkmCLmI68CVda4ZJ21b9kIkHRkW+1dPnaHGyk96fG7yyKXx5DLNnLK0sS4XRk7kiQCWed+/AkVNLzi1blcperma8NyHqiMb2QHBP+R0E7oj1wY83V2Z0pT2TCnXyBA/k5O+hRc55CLVrEeqtQu85Zs3eeQaYKWMXh7XZfE7xNQafWlGyVVf+tJE/khVpdwqT1Xn1WqX8nuOfBaSUQyxR3HWfvOGVPVIs4N8z+nWF1ptQZc7IoiRIKdbI4zxFr5wKla2pSW6p9sIxW5Y4u2Zx4LKZSlkphTlOcKO4AveZr20kKbXLvnSg15IV6eNFEwq+3oiX977Vn+k0rVxNNwLb+1R7vCfDy2rp2IjAQMNMcjp1gjax2NAVGvteLGd7ORIO5DToDPLJ7QLX/Alj1yDcv6HNwTBGaz/nyK1SJUmw5jLy3PVqdLtGc+ObV6ySS5evvpBgkgFOd0awaLKNRBq+X78NvG5IEduhLhkxMrXODOLucghdo9WA4bEuW1hz2fpo/dqpX8xHaV/mZE+RXkGKrlEL88lXUI6PLXOWoV2I/vJpV3NrX1LtTVHHf2r2R7LeVxpupQyxkBIAc9OtxrwMi4qaKgIMkJON0EogJJHhvVB7VueaLgOy0hlp+6gl1ANnY/hBTCjHA9McAUZlV6h/oPQGnK6NYOqf67I+UZX+pFhEp6p0ghP4GRzgqHfLKeZadA638nzyiLyaCSmpL3kUqqTke2rgFAnvCShJanKTw8z3dmfrC1nEFeWkwx6RI1ZeDXsrdBXE2iFkeoIOd0EIRtxR4aJtBKF7EgUct77MKIGkm1dpoGJEZVFqEYhBq3sn2UxJyEf1eSy9JlX5HSh1HP9xVLR0CHM9Og8JiTktTZymgltIadbI9Trt4zTQfahROeSKfhT9s9UcM++ZnskU8mRHzyN3/pESchXyr14Wgmdel1GWnkyBvdRYk+3PKQ+Mkyeus+T3SkBbzMy2tQZgxeyFHJwdiSdq96P1Mct8j/TzQOpdZ1Dngp8LwXNdGuPvmuiOpDTrRFUdQ2IhE5P7wOE/OArerkmFEDxF0xZGhwqRYJIpgCa8KzJ1FZQn1BgUHGLQk63RlDDrT5q7CoSYr8pPdOtPTlFL+dtilFI8QfjNXp5avKRR56Y/YnPlzLAkvZcJfXMmR0aGm2G3EIhDvVlOTJMnpVUhpzpTmdQWYohdx/Ds7XnVUISb+ZlXEQQ6SCnWytUcj4UfQy/bbx08slD/3vjZrrViF5uKDRYGmcE8+UBpWya6kp6yH7TQ/ajzKulTFuxeCKTI5qLftQJCpY9ZO2ZyafseH6pEY+mUpIRZoScbgOij6aBNzJGApEhDZnRWQPXqx19Cc1TXVJksMvbyoM4hJTaF1L8RvSHpwEid6tbCgq17IAfe1OSfOpV8p1sz+eFUD/4sA+e2kUjQ1oWh5xugpALtY4M42QQy4scasNbvnmTR9rAhg6SIlSgwEZ/akQvl4pa7RIv7R8fUvBJfjPM0uDFDggiHeR0awQfJy3rE0Wil8u8DE10ebksHQMvtpOlHGnyrt0b6L3P7ZMhsyQyRG3PO4XMqallJUl7uqUEFJRU3KmilxPqoc6BSowps+CiMGYQ+9M/z2JlmG4/cfa607YFUrucc9Op8vD8hikf2aSWr4Tr8lSR3mbK1d4JUogtbraQ060V9FbOgMS3cGLlS+VOGA2yaYJHyC4JvUK2S+gRZezWSLWBnG4iZzR755fz67s8ljhJeaZay8vBemeHNG6Ksp0N6Y0mrO2cSH8SX5MIcb/xF708tiue9f80n+jlSuRFnnqQ8pxumeqYITrxNKqQQ09ytWbp6r3S6GteSn5y0jqTZz7PkNHL83makPpPueTneRZWle0MKj2Fe3QgYiFDTrdmGGLYR4igZPRyXtpUXuRQG97yrbU8yUeGKZMuQWQD2Y+2jhiFcMsdo9kurxHfCZ1goOpATrdW0FFeXJA6QnL+6Qki5WuseboczulWQAq5ETKeUyuD/nNIIt2OePFvMj1IhpdASpljpnT1YEyaoSflKHTkHC/NpIpI3bWW7rrM7V+K9FLam/H2dDMIoqtI0uo+xS3yO9Z6qvPSkb4TM/OFPK8GIAoDcroNTgGOO7RD0pJOKhHC6NDAhiC4QEdnahMGhuywIKBQVZkhp5vQHbm+rUzX7mdOM9tjkJRrfXhZepbLnm5xveinU85H/8rsoBZJVTUz6b+8XLk93XqyE6KXXGZO5YHJvpJJb6g3s5f8HGPu6c4dI9tippyps7xcih3kJwfTRRHqQsiChZxuzdBHR0HkhpJ7uvmxHV7kUBve8s1XQD35pOFNz4Se0IszZlyMt7yc4BmyA4J/yOnWCGUjTxv7TZc2cyYSoOXlWdO3HEmTvVb9Htm3V08Ai52nzlNNUkJH2p+Ont018TrgqWy0IF3+eWtlCnF/NQ/konYto83zjry9wp7UZFqTy3OJ8SxbNuhhT7gg8rtWMhCJkNOtETQIMSJqHRnGB7zIoTa85Zs3eeQelBIEIY3kGiMS9EtpQUSfrN/nZEJOnRrvpUcex7Uq/gSCUA9yujXCEE2qgVo5ud9gii8vlyFtTqJV5CKH+GBCfWNKtQtR0n2a6T+1fPnII88Rdjns6ZbnkpzhpAopCE+Nc/qZU6WKwniOS/bk3q/lH71crXZS3fZYkC9mRUxuA5zTneHRquzplmAHepip1jPU4maGnG6tUKujoFqgHnHLy0WdbuOP9okCg5wbgkcEML7ePRAEQRAFDTndBsXYYw0Zcyck/ZISaW9I1dI60ywecH85siF1FGPtc5GK9I5kHjLveemST0yH5DtTpyXNRhTQv4TYBtJqCp+2QWQHvZQpVIwXSC3nk1MMPiLjAzV6OypHIj/I6SYIuUhwNsSad/mX82oFL3KoDW/51l4eZaKXa58vQt/QYlItNUBHhuWO0VbE8XNkGEFoCzndGmGE5kGr7lyJBjxzeUh8ppD+ann20PJB9nKov68zE4mvSfZGL099hdgn0sknn2J2Ly6PWoPe/k+VyUJTDDzJjZKGLHqSVdXpbVGJ0zwK01Kk6lH8ulx2Lafc051lGrnCTznnZsOyOYuSTk9RBmVn8qXpR43c66//ofjlvEFOt0bQWzkjIteyWoIgCILID/05CUQvxhofkh0WCsrYrZFqAzndGmGw1UMqI18DLmtXEB9ITdECZgn/aEd2XakAcX3z0CmzhN8U2tMtB0mPzyd6ef4oZevaWwTfpJvYkqM+yaX/3nqvfp0x2hJdKSRlWcRI0quGyaQ74+3phiC+DiBblfXVCfkOWOS4xcxjFl66XqVcyLGOFEDDxQ+ECIo53b/97W9x2GGHweVyoaysTNI9jDHcdtttqK+vh9PpxPTp07FmzRqlRNQYdTqKwht28IJx93QLsX8L07p4yTc/5ZDL0XFSRgNa54vQN0rbD/8jWi1rEO3pFkPvK+Lk3FgmH/qzA6nwbQ3AXgkL8D1n1ijmdAeDQZxxxhn4xS9+Ifmeu+++Gw899BCeeOIJfPHFFygqKsKMGTPg9/uVEtO48F9P+SLDK0Gp0cszOULG7RikET+DwkcE9tTEZiE4qkc5zWRkVLASL4FkOsc2xWdcz+YQIkiwMSWC6INxVX/1Qi4qY6TorNnbbvLaCxoP6j/UgZoDcSxKJTx//nwAwMKFCyVdzxjDAw88gFtuuQUnnXQSAODPf/4zamtr8dZbb+Hss89WSlSCkIdCbGkE0JiByB5JVYUMi+AXBnq3TWSP3u0mN/n1nGNt0bu9EIko5nRny4YNG9Dc3Izp06fHPistLcXEiROxdOlSUac7EAggEAjE/u7q6lJcVjkY2Py+1iLIgDZNQa5DcaX3QMYz0v+/lJ+bWTjvtM0sjCgDOn2hvNPKiT2OtpmFszKBYYHvYWN762owHEEo0hfuXX1bEmL/S/gEtaHtGNC2BKhIfV8+Zbh+Zw8EAQiEIzmnsbnd2/tLfDmkIBxl2LLbmzatn3a9mbMcffS3dbnqkillvvJPOxSJIhIwgkOvjzdeh3cvRkm0U/R7bzCCQDgq+3NH+v8HlCrZrvCn/2iSOKnzn3zdXvq309JIfo4cfZ0U1HpOH2LtWzqdJvczDIf2fITRvi/hiKZqo7O3K/UsMXu7z6dPSKvXOKTYQb59kzYz5fy1M0nsEVFqWWXLup0ejFAmadXhJpBac3MzAKC2tjbh89ra2th3qViwYAFKS0tjP42NjYrKKRsSnYzdluqsk3bZzLCZ0xet02pO+701w/0AUFVsA7AnUE6K7LRZ9pal3+TKmJ5UPOZS/FBxVMJnZU4bXLb0eXLZLLCaEwUtc1oRESzoNpWK3tdiHYhuc2mSTt0O65509zzXXgJzcRUAwBn1pJXFbjGh2J75nZfFJBK0Bb1OVTw7KidmTC+eqGBGqcMKRwZb6E+RzZLydzE85l7dVlgCiO88ogyIRBk6zRVwltUk3LPKOSH2e63bnvEZUWFvHupLHRmvt5oFQECsTL2mYnSbywAAFhZErblr73V5sLT4pwl/+0IReIMRRLLwMYr22JfHXIpW6wD4Qr0Ou8Nihoh5AOjdX+UPiT/IZjGhPLwz5Xcd5irJ8sXbus9UDJ+pCBEhvV0UZairQG99NZtMCAvW2GdrHaNiv/fZ7Rbr8IS2BgDMaRTD0Gt38fSY3BnlUYsuc7mk62rdqe283VKNbrN4e9Zn52LYrb11QkofsMM6KOM1ZZE2VLsS04ov/0iUISjB6bZbEtMwCcmfJTyDeWAxmWJtaJPzMGyzDQGwt03qo9y118aqijO3NwCw3ZY57/Esd03O6vp4Sp1WONLkVYxWS0PW9wwpiSLdIH+bdWjSZ5499WeTfd+snwcAfpMz63vCgg2WDDbabO0dD26zJcsMADusg5PqWypZXDYzrEVlAAChqFL0eWLtSF8/YzObYnbjjuxGbWhrVlvOTAJQ5rKl/M5jKov93r89zJa+elXqssLZr61OZfdWsynWbqSixTow5eeZxqGpCAuJ+Zea17X2AxARzEn3S8FqNmGDfURCu1EjYVySjv5tV6nTiiJ7sj6ybWfiy6tv/NLkOiwHCVNTVWxP6r/7jwOtZiHt2CRbeiLczA/njcCY9K3vN954I/7whz+kveb777/HyJEjY38vXLgQc+fORUdHR9r7/vOf/2Dy5MnYvn076uvrY5+feeaZEAQBr776asr7Us10NzY2orOzE243PwOp/uzYtBrdbTvgcDjgC0ZQ53bA7/dDsNiw2xuExSQg6KpFxOyAo2MdLGV1sAU74Q2EUF07AN07tyAYjsBTMhSO0G4IghWlxU6YPTtQWVGFTks5dmxej6jVCbPVDrN3J8yIwuUqQmfUjoENA+Br3YCWsAs12I0WVoZydMHhrkanP4xBzgA2B1zwMCes/nY4rYDJZIY3LADeNpQ6TKirb0Rry3a4K2vRgTK0t2xGqbsUoY7tCIZCCFaMhDvaDkvIg2jFPuhq2QR7xINiK+AJAX5rKZzhTpTagJ2WWgwoAnZ3dMDLHCgRvIhGwggxARBM8Bc3wrp7LcqLnDDVjYLVYkHLpu9RP2AwmtetQGPjEIS9HWhu64CjvAHerl1gzgoMKLVjW6cfVv9uDKosQpfgRuv2DTCbTShzOVBR7MAGVgd/RICtfTXcTjtQUoe2gAmVZh/g78Au2wCY7EXY19aOltZmoHIfuCOdcFQ2YtPqJjQUAc6qQUBJHeBtR9uWH9DWE4TJZIZJEBAVTBBYBHaLCQIYeiI21A3eB27fNuzq8qHDH0bAWoaBFUXo3rkF3mAYdcNGo7u9GbX1g9C86Qf4vV6Eiupg87WgxGHGbh8DWASWiiGwRXrgEEIoGbA/1m9rRrF/O6qK7Whu70KJy4FIlMHPrOhwDUaRdxuEYDdMZiv87iHYrySEYPdObAu6MKDUgR1bN8Jqt8MuRCG462HzNsNnLoGnxwsBERRZTagqcWJ9F1CGbpS7rNjUEYZJ6N3XFygejEpbGJ62rSi2CeiJ2uF3D0FNcDPcpiC2dfhQVNGA7q7diIR66629Zh8MrKnE5h+WQWBhRC1OmKr2Q4UlgMjuTSgvsmNbwIlKoRNbvFaUWcLo9voQYiagqBoDSkwI2ysR7GkD8+xCXW09WnftBOwlaPVGUWsPoz1ajNrIDngjArr9YdQ1Dkcp8wD2Ymxv70KHUIpStxu2zk3wdLSgsdwFi8WCoL0S69t8KEcnUDkcHZtXwSpEEbEUocjpBAJdKC0rw9aAC+jcChRVQYiGEQ30IGpxgpUNgqV7G6yBDoTDQUTNdgjRMCCYULLnpYtJACxCFJ4gg7WoFF09flgR2vOdgMH1Ndja4YfH2YCI3wNb1yZEbSUYXG5D0O+Dx9OFcpcDW7wCXK4iWMM9MFntaPdGwExWWEI9sJoBsChYOIiGSjd2dPpRV2xCKBzFrp4QAs4aWAKdYKWNgL8TEVclzG1rAFclrN4W1NY1oLW9A9ZoAMUDRyHQ0Yx2uDEU29Ha5Yc/DFSVOOAvaUQnKwK6dsDSswNlJUXYZWtEo92Dzm4PTGEfBMGEuvoB2LF9CzxBBrvDgfLSEmzvCsPibwcTTLBGQ2iscKHLUonNficaItuwM1IMR8UAVPk3IxT0oqK6AR3eIHzOWoTDURR3r0W31w9zURWqi61o37kd3f4QIFjhsgEBWznQ3YwQLBCiIUSL61HGuhCIAN7SfSC0r0dDsQmeYBiBQAAhZoYpGoLZbEbEVoJIlCHsrEZteDuaLQNg7d6MUksE3oiAaDQKRCNgxbUIhwKoLrIi5KxCV3sLzCEPIqEATCYLHHYLTAB8Pj8ERwmiJitYUQ1KPOvhNZeiCF60WepR6YjA5w+g0mnC1nYPzMXVsHdtRG1VOTbtDqHCXYzqijJs2e2H19uDqK0Ytq6NMEWC8JQMh9lZAqtnBwbae7A9VAT0tCFiL4U13AOfawCsCCHCBAwqCmNnTwSh7l2wCBH4XAMwqAQorhwAf1crNm/dhjKnac9LIhPMpih6/CHUlTnRHjAjXDYMkdYfEAmHYWYhMJMVdqsFZkRQVt2AbVs3wWYCBpS70GMpx46eCIpD7ah1O7E2UgtrxzoEYUWoeAAc3RsRKh0GZ/dGFNXtB+/u7bAUVyO8ax1sFhPqyouxqSOIQNQKW3A3KuoGwR5oQ3N3CPaKRvR0tqHKGoDfUQlf2zZUFllRVuRAm2MwWnZsASsbjHAoiKJAC/yuBtT4NyJQNADmnh2oqWuEJdQFBL1g0RC2h9ywBtrh8XrBTFZUFVvRHQRcFgGRcABFTidaHcNQxXaiZ3crQq4aoKcNPZZSCIIJtsBuDBh+ANo2f48OoRRhwYqq6np0bVsFIRxCscOCgL8HRaXVaI8WwdK5EYLFBhYOAvZihCKALeIBs5ci6qzAUHs3zGUDsHn9DyitHYKu3TsR6OkAgwABDGaLDZFwEFEGRN2NKEM3rC43tobcKPKshzUaQlVFGXa0d4MxARHBBDsLoLZ+ALZu24YKpwldzAm3laHKFkJLZwA+Vy1qXCb0dLbBZLFgO6uCPepFuKgOxcwLU9gHMwuh1GnFDqEa3mAEZkQwlG3F1nYPLCwMt9OG3eYKlEV2YzdzorSsGnbvDngtZbB6m9EZNMFkNsNXMhR2XwuEQDcQCcJkNiGy52Vb0OyCVWAIljSiIrANPk8nbHY7IuXDMMDag5btm9ATjKCsdjB279wBs8WCUHEDSk0BhIrqUOayYduuDtg6N4BFwjBV7QOXZws85mKYSgdgSFEYzZvXoKy8Ej3dHUDlvuhq3QiTyQyXEEBP1IJBxQLCRfVY32PBflV2tK1fDm8I8DvrYAp0wBrsQtBShEjZMAy37sKWDj8qrBG0BKyAowz7urphi/rRZXJjg78EA4Ib0eX1Aeh9eR5y1aG6yIKotx1+vw/BCIPN5oDLJqDHH4LJZILDDLhrBsIMYPOOZlijATisJnhCvWOkQPl+MIe9sDE/LM4yBJtXoaGyBNt2+2AymSBEgogKZjSUu7DZ70Kl4EGbx9/bvoVDsAgMgsWO4vp94PZuwbbdPRg0eDhCfi+aW3agyGGF1x+Et2w/2Py7MMDajZbuEGxmExrKnAhGotjWGUSpywZ/8SB0N6+FA0FYi8rR4RyEYY4udO5qRigSRTgUgMtuRUVJMTbt7AATLHBYTagodqLTOQBoW4eozY3usAUmz3ZEK/fFELsHm3cHEHbVwBrYjQrBg11wI2ItQXHXWjisJrRFXLCwMFzmCOrdNjR7IjAJAryBILpL90VpkQtlrAutW36EYLZAKKpBOBxEOTywCRG0+xmYoxxR325YTAIi4SCsZQMwqNyODaFy+IMROLvWwWoW0FhVho6ONuz2hlFbXY3mzh5EGGAO9sBRMRDdXR2otPiw2+NHRYkLbT1BWC0WFJfXoKNlMwZWuREM+BGGBRHGUFvbAP/u7djSDQSKG2HvXIuyYie2W4eggbXAFPHDWTMMLRtWoay0FNbyBvh3rAZjDLuESlSxXXDYHSixAbtQBoeZwVFUirU7PQhZy1AT2YE2VooKkwcWRNFtKYOlYwNCrNeBDoXDcJmjiDorUGKJwhe1oBsOWHtaIAgCgu7BKPZtw4BSG8KhELbt7kEgaoK1qByDHV5s9Bch7GkDHG4MKxUQtpeiq3UresK93neJw4J2TwBRhxs2FuodJ7EoSlwOdAUFBJkFjnAXnDYzIpEIzABKzAHsbGtHtLgO+4zN/aWlGnR1daG0tDSj75mV071z5060tbWlvWbYsGGw2fa+SZLqdK9fvx7Dhw/H8uXLMW7cuNjnU6dOxbhx4/Dggw9KklFqxgmCIAiCIAiCIAgiV6T6nlnN2VdXV6O6OvvlzlIYOnQo6urq8MEHH8Sc7q6uLnzxxRdZRUAnCIIgCIIgCIIgCF5QbE/35s2b0dTUhM2bNyMSiaCpqQlNTU3wePbu/xs5ciT++te/AgAEQcDcuXNx11134e2338a3336LCy64AA0NDTj55JOVEpMgCIIgCIIgCIIgFEOx3em33XYbnn/++djf48ePBwB89NFHmDZtGgBg9erV6OzcG9X0V7/6FXp6enDJJZego6MDhx9+OBYvXgyHI3NgJIIgCIIgCIIgCILgjaz2dOsB2tNNEARBEARBEARBKI1U35ObI8MIgiAIgiAIgiAIwmiQ000QBEEQBEEQBEEQCkFON0EQBEEQBEEQBEEohGKB1LSib4t6V1eXxpIQBEEQBEEQBEEQRqXP58wUJs1wTnd3dzcAoLGxUWNJCIIgCIIgCIIgCKPT3d2N0tJS0e8NF708Go1i+/btKCkpgSAIWosjSldXFxobG7FlyxaKss4xVE78Q2WkD6ic+IfKiH+ojPQBlRP/UBnxj17KiDGG7u5uNDQ0wGQS37ltuJluk8mEgQMHai2GZNxuN9eGRPRC5cQ/VEb6gMqJf6iM+IfKSB9QOfEPlRH/6KGM0s1w90GB1AiCIAiCIAiCIAhCIcjpJgiCIAiCIAiCIAiFIKdbI+x2O26//XbY7XatRSHSQOXEP1RG+oDKiX+ojPiHykgfUDnxD5UR/xitjAwXSI0gCIIgCIIgCIIgeIFmugmCIAiCIAiCIAhCIcjpJgiCIAiCIAiCIAiFIKebIAiCIAiCIAiCIBSCnG6NePTRRzFkyBA4HA5MnDgRX375pdYiFQwLFizAIYccgpKSEtTU1ODkk0/G6tWrE66ZNm0aBEFI+LnssssSrtm8eTOOP/54uFwu1NTUYN68eQiHw2pmxbDccccdSfofOXJk7Hu/348rrrgClZWVKC4uxmmnnYaWlpaENKh8lGfIkCFJ5SQIAq644goAVI+04NNPP8XPfvYzNDQ0QBAEvPXWWwnfM8Zw2223ob6+Hk6nE9OnT8eaNWsSrmlvb8d5550Ht9uNsrIyXHTRRfB4PAnXrFixAkcccQQcDgcaGxtx9913K501w5CujEKhEG644QaMHj0aRUVFaGhowAUXXIDt27cnpJGq7v3+979PuIbKKD8y1aVZs2YllcExxxyTcA3VJWXJVEap+idBEHDPPffErqG6pCxSxtxyjek+/vhjHHTQQbDb7dhnn32wcOFCpbOXFeR0a8Crr76Ka6+9Frfffju++eYbjB07FjNmzEBra6vWohUEn3zyCa644gr897//xZIlSxAKhXD00Uejp6cn4bo5c+Zgx44dsZ/4RjYSieD4449HMBjEf/7zHzz//PNYuHAhbrvtNrWzY1gOOOCABP1/9tlnse9++ctf4u9//ztef/11fPLJJ9i+fTtOPfXU2PdUPurw1VdfJZTRkiVLAABnnHFG7BqqR+rS09ODsWPH4tFHH035/d13342HHnoITzzxBL744gsUFRVhxowZ8Pv9sWvOO+88rFy5EkuWLME777yDTz/9FJdcckns+66uLhx99NEYPHgwli1bhnvuuQd33HEHnnrqKcXzZwTSlZHX68U333yDW2+9Fd988w3efPNNrF69GieeeGLStXfeeWdC3brqqqti31EZ5U+mugQAxxxzTEIZvPzyywnfU11SlkxlFF82O3bswLPPPgtBEHDaaaclXEd1STmkjLnlGNNt2LABxx9/PI488kg0NTVh7ty5uPjii/Hee++pmt+0MEJ1Dj30UHbFFVfE/o5EIqyhoYEtWLBAQ6kKl9bWVgaAffLJJ7HPpk6dyq655hrRe/75z38yk8nEmpubY589/vjjzO12s0AgoKS4BcHtt9/Oxo4dm/K7jo4OZrVa2euvvx777Pvvv2cA2NKlSxljVD5acc0117Dhw4ezaDTKGKN6pDUA2F//+tfY39FolNXV1bF77rkn9llHRwez2+3s5ZdfZowxtmrVKgaAffXVV7Fr3n33XSYIAtu2bRtjjLHHHnuMlZeXJ5TRDTfcwEaMGKFwjoxH/zJKxZdffskAsE2bNsU+Gzx4MLv//vtF76EykpdU5TRz5kx20kknid5DdUldpNSlk046if3f//1fwmdUl9Sl/5hbrjHdr371K3bAAQckPOuss85iM2bMUDpLkqGZbpUJBoNYtmwZpk+fHvvMZDJh+vTpWLp0qYaSFS6dnZ0AgIqKioTPFy1ahKqqKhx44IG46aab4PV6Y98tXboUo0ePRm1tbeyzGTNmoKurCytXrlRHcIOzZs0aNDQ0YNiwYTjvvPOwefNmAMCyZcsQCoUS6tDIkSMxaNCgWB2i8lGfYDCIF198ERdeeCEEQYh9TvWIHzZs2IDm5uaEulNaWoqJEycm1J2ysjIcfPDBsWumT58Ok8mEL774InbNlClTYLPZYtfMmDEDq1evxu7du1XKTeHQ2dkJQRBQVlaW8Pnvf/97VFZWYvz48bjnnnsSllpSGanDxx9/jJqaGowYMQK/+MUv0NbWFvuO6hJftLS04B//+AcuuuiipO+oLqlH/zG3XGO6pUuXJqTRdw1PvpVFawEKjV27diESiSQYDgDU1tbihx9+0EiqwiUajWLu3LmYPHkyDjzwwNjn5557LgYPHoyGhgasWLECN9xwA1avXo0333wTANDc3JyyDPu+I/Jj4sSJWLhwIUaMGIEdO3Zg/vz5OOKII/Ddd9+hubkZNpstaQBaW1sb0z2Vj/q89dZb6OjowKxZs2KfUT3iiz6dptJ5fN2pqalJ+N5isaCioiLhmqFDhyal0fddeXm5IvIXIn6/HzfccAPOOeccuN3u2OdXX301DjroIFRUVOA///kPbrrpJuzYsQP33XcfACojNTjmmGNw6qmnYujQoVi3bh1uvvlmHHvssVi6dCnMZjPVJc54/vnnUVJSkrBsGaC6pCapxtxyjenErunq6oLP54PT6VQiS1lBTjdR0FxxxRX47rvvEvYLA0jYczV69GjU19fjqKOOwrp16zB8+HC1xSw4jj322NjvY8aMwcSJEzF48GC89tprXDScRDLPPPMMjj32WDQ0NMQ+o3pEELkTCoVw5plngjGGxx9/POG7a6+9Nvb7mDFjYLPZcOmll2LBggWw2+1qi1qQnH322bHfR48ejTFjxmD48OH4+OOPcdRRR2koGZGKZ599Fueddx4cDkfC51SX1ENszF0o0PJylamqqoLZbE6KytfS0oK6ujqNpCpMrrzySrzzzjv46KOPMHDgwLTXTpw4EQCwdu1aAEBdXV3KMuz7jpCXsrIy7Lfffli7di3q6uoQDAbR0dGRcE18HaLyUZdNmzbh/fffx8UXX5z2OqpH2tKn03T9T11dXVJQz3A4jPb2dqpfKtLncG/atAlLlixJmOVOxcSJExEOh7Fx40YAVEZaMGzYMFRVVSW0b1SX+ODf//43Vq9enbGPAqguKYXYmFuuMZ3YNW63m5vJGnK6VcZms2HChAn44IMPYp9Fo1F88MEHmDRpkoaSFQ6MMVx55ZX461//ig8//DBp2VAqmpqaAAD19fUAgEmTJuHbb79N6FD7BkajRo1SRO5CxuPxYN26daivr8eECRNgtVoT6tDq1auxefPmWB2i8lGX5557DjU1NTj++OPTXkf1SFuGDh2Kurq6hLrT1dWFL774IqHudHR0YNmyZbFrPvzwQ0Sj0dhLk0mTJuHTTz9FKBSKXbNkyRKMGDGCllrKQJ/DvWbNGrz//vuorKzMeE9TUxNMJlNsOTOVkfps3boVbW1tCe0b1SU+eOaZZzBhwgSMHTs247VUl+Ql05hbrjHdpEmTEtLou4Yr30rjQG4FySuvvMLsdjtbuHAhW7VqFbvkkktYWVlZQlQ+Qjl+8YtfsNLSUvbxxx+zHTt2xH68Xi9jjLG1a9eyO++8k3399ddsw4YN7G9/+xsbNmwYmzJlSiyNcDjMDjzwQHb00UezpqYmtnjxYlZdXc1uuukmrbJlKK677jr28ccfsw0bNrDPP/+cTZ8+nVVVVbHW1lbGGGOXXXYZGzRoEPvwww/Z119/zSZNmsQmTZoUu5/KRz0ikQgbNGgQu+GGGxI+p3qkDd3d3Wz58uVs+fLlDAC777772PLly2ORr3//+9+zsrIy9re//Y2tWLGCnXTSSWzo0KHM5/PF0jjmmGPY+PHj2RdffME+++wztu+++7Jzzjkn9n1HRwerra1l559/Pvvuu+/YK6+8wlwuF3vyySdVz68eSVdGwWCQnXjiiWzgwIGsqakpoY/qi9L7n//8h91///2sqamJrVu3jr344ousurqaXXDBBbFnUBnlT7py6u7uZtdffz1bunQp27BhA3v//ffZQQcdxPbdd1/m9/tjaVBdUpZM7R1jjHV2djKXy8Uef/zxpPupLilPpjE3Y/KM6davX89cLhebN28e+/7779mjjz7KzGYzW7x4sar5TQc53Rrx8MMPs0GDBjGbzcYOPfRQ9t///ldrkQoGACl/nnvuOcYYY5s3b2ZTpkxhFRUVzG63s3322YfNmzePdXZ2JqSzceNGduyxxzKn08mqqqrYddddx0KhkAY5Mh5nnXUWq6+vZzabjQ0YMICdddZZbO3atbHvfT4fu/zyy1l5eTlzuVzslFNOYTt27EhIg8pHHd577z0GgK1evTrhc6pH2vDRRx+lbN9mzpzJGOs9NuzWW29ltbW1zG63s6OOOiqp7Nra2tg555zDiouLmdvtZrNnz2bd3d0J1/zvf/9jhx9+OLPb7WzAgAHs97//vVpZ1D3pymjDhg2ifdRHH33EGGNs2bJlbOLEiay0tJQ5HA62//77s9/97ncJzh5jVEb5kq6cvF4vO/roo1l1dTWzWq1s8ODBbM6cOUmTJ1SXlCVTe8cYY08++SRzOp2so6Mj6X6qS8qTaczNmHxjuo8++oiNGzeO2Ww2NmzYsIRn8IDAGGMKTaITBEEQBEEQBEEQREFDe7oJgiAIgiAIgiAIQiHI6SYIgiAIgiAIgiAIhSCnmyAIgiAIgiAIgiAUgpxugiAIgiAIgiAIglAIcroJgiAIgiAIgiAIQiHI6SYIgiAIgiAIgiAIhSCnmyAIgiAIgiAIgiAUgpxugiAIgiAIgiAIglAIcroJgiAIgiAIgiAIQiHI6SYIgiAIgiAIgiAIhSCnmyAIgiAIgiAIgiAUgpxugiAIgiAIgiAIglAIcroJgiAIgiAIgiAIQiHI6SYIgiAIgiAIgiAIhSCnmyAIgiAIgiAIgiAUgpxugiAIgiAIgiAIglAIcroJgiAIgiAIgiAIQiHI6SYIgiAIFRAEAXfccYfqzx0yZAhmzZolW3p33HEHBEGQLb18mTZtGqZNm6a1GARBEAQhCjndBEEQBCGRhQsXQhAECIKAzz77LOl7xhgaGxshCAJOOOEEDSTMHY/Hg9tvvx0HHnggioqKUFlZiXHjxuGaa67B9u3btRaPIAiCIHSLRWsBCIIgCEJvOBwOvPTSSzj88MMTPv/kk0+wdetW2O32pHt8Ph8sFj673VAohClTpuCHH37AzJkzcdVVV8Hj8WDlypV46aWXcMopp6ChoQEAcMstt+DGG2/UWGKCIAiC0A989v4EQRAEwTHHHXccXn/9dTz00EMJjvRLL72ECRMmYNeuXUn3OBwONUXMirfeegvLly/HokWLcO655yZ85/f7EQwGY39bLBZuXx4QBEEQBI/Q8nKCIAiCyJJzzjkHbW1tWLJkSeyzYDCIN954I8lp7SN+T7fP58PIkSMxcuRI+Hy+2DXt7e2or6/HYYcdhkgkAgCIRqN44IEHcMABB8DhcKC2thaXXnopdu/enZA+Ywx33XUXBg4cCJfLhSOPPBIrV66UlJ9169YBACZPnpz0ncPhgNvtjv2dak+3z+fD1VdfjaqqKpSUlODEE0/Etm3bkvax9927du1azJo1C2VlZSgtLcXs2bPh9XoT0nzuuefwf//3f6ipqYHdbseoUaPw+OOPS8rPww8/jAMOOAAulwvl5eU4+OCD8dJLL0m6lyAIgiDkhpxugiAIgsiSIUOGYNKkSXj55Zdjn7377rvo7OzE2WefnfF+p9OJ559/HmvXrsWvf/3r2OdXXHEFOjs7sXDhQpjNZgDApZdeinnz5mHy5Ml48MEHMXv2bCxatAgzZsxAKBSK3Xvbbbfh1ltvxdixY3HPPfdg2LBhOProo9HT05NRnsGDBwMA/vznP4MxJlkPfcyaNQsPP/wwjjvuOPzhD3+A0+nE8ccfL3r9mWeeie7ubixYsABnnnkmFi5ciPnz5ydc8/jjj2Pw4MG4+eabce+996KxsRGXX345Hn300bSyPP3007j66qsxatQoPPDAA5g/fz7GjRuHL774Iut8EQRBEIQsMIIgCIIgJPHcc88xAOyrr75ijzzyCCspKWFer5cxxtgZZ5zBjjzySMYYY4MHD2bHH398wr0A2O23357w2U033cRMJhP79NNP2euvv84AsAceeCD2/b///W8GgC1atCjhvsWLFyd83traymw2Gzv++ONZNBqNXXfzzTczAGzmzJlp8+X1etmIESMYADZ48GA2a9Ys9swzz7CWlpaka2+//XYWP3xYtmwZA8Dmzp2bcN2sWbOS8tx374UXXphw7SmnnMIqKyuTZOrPjBkz2LBhwxI+mzp1Kps6dWrs75NOOokdcMABafNLEARBEGpCM90EQRAEkQNnnnkmfD4f3nnnHXR3d+Odd94RXVouxh133IEDDjgAM2fOxOWXX46pU6fi6quvjn3/+uuvo7S0FD/96U+xa9eu2M+ECRNQXFyMjz76CADw/vvvIxgM4qqrrkpY+j137lxJcjidTnzxxReYN28egN4o7RdddBHq6+tx1VVXIRAIiN67ePFiAMDll1+e8PlVV10les9ll12W8PcRRxyBtrY2dHV1JcjUR2dnJ3bt2oWpU6di/fr16OzsFE27rKwMW7duxVdffSV6DUEQBEGoCTndBEEQBJED1dXVmD59Ol566SW8+eabiEQiOP3007NKw2az4dlnn8WGDRvQ3d2N5557LsFpXrNmDTo7O1FTU4Pq6uqEH4/Hg9bWVgDApk2bAAD77rtvkozl5eWSZCktLcXdd9+NjRs3YuPGjXjmmWcwYsQIPPLII/jNb34jet+mTZtgMpkwdOjQhM/32Wcf0XsGDRqU8HefjPH71D///HNMnz4dRUVFKCsrQ3V1NW6++WYASOt033DDDSguLsahhx6KfffdF1dccQU+//xz8YwTBEEQhMJQ+FGCIAiCyJFzzz0Xc+bMQXNzM4499liUlZVlncZ7770HoDdK+Jo1axKc12g0ipqaGixatCjlvdXV1TnJnYnBgwfjwgsvxCmnnIJhw4Zh0aJFuOuuu2RLv2+/en/Ynv3k69atw1FHHYWRI0fivvvuQ2NjI2w2G/75z3/i/vvvRzQaFU17//33x+rVq/HOO+9g8eLF+Mtf/oLHHnsMt912W9K+cYIgCIJQA3K6CYIgCCJHTjnlFFx66aX473//i1dffTXr+1esWIE777wTs2fPRlNTEy6++GJ8++23KC0tBQAMHz4c77//PiZPnpyw3Lo/fYHQ1qxZg2HDhsU+37lzZ1KU82woLy/H8OHD8d1336V9djQaxYYNGxJm2teuXZvzc//+978jEAjg7bffTpgV71tOn4mioiKcddZZOOussxAMBnHqqafit7/9LW666Sauj24jCIIgjAktLycIgiCIHCkuLsbjjz+OO+64Az/72c+yujcUCmHWrFloaGjAgw8+iIULF6KlpQW//OUvY9eceeaZiEQiKZd3h8NhdHR0AACmT58Oq9WKhx9+OCH6+AMPPCBJlv/9738pzxbftGkTVq1ahREjRojeO2PGDADAY489lvD5ww8/LOnZqeibCY/PS2dnJ5577rmM97a1tSX8bbPZMGrUKDDGEqK9EwRBEIRa0Ew3QRAEQeTBzJkzc7rvrrvuQlNTEz744AOUlJRgzJgxuO2223DLLbfg9NNPx3HHHYepU6fi0ksvxYIFC9DU1ISjjz4aVqsVa9asweuvv44HH3wQp59+Oqqrq3H99ddjwYIFOOGEE3Dcccdh+fLlePfdd1FVVZVRliVLluD222/HiSeeiJ/85CcoLi7G+vXr8eyzzyIQCCSctd2fCRMm4LTTTsMDDzyAtrY2/OQnP8Enn3yCH3/8EQCSzvSWwtFHHw2bzYaf/exnuPTSS+HxePD000+jpqYGO3bsyHhvXV0dJk+ejNraWnz//fd45JFHcPzxx6OkpCRrWQiCIAgiX8jpJgiCIAiV+eabb/C73/0OV155JY488sjY5zfeeCP+9re/Yc6cOVi5ciXKysrwxBNPYMKECXjyySdx8803w2KxYMiQIfj5z3+OyZMnx+6966674HA48MQTT+Cjjz7CxIkT8a9//Svtedl9nHbaaeju7sa//vUvfPjhh2hvb0d5eTkOPfRQXHfddQkypuLPf/4z6urq8PLLL+Ovf/0rpk+fjldffRUjRozIaTn3iBEj8MYbb+CWW27B9ddfj7q6OvziF79AdXU1LrzwwrT3XnrppVi0aBHuu+8+eDweDBw4EFdffTVuueWWrOUgCIIgCDkQWPzaLYIgCIIgCBloamrC+PHj8eKLL+K8887TWhyCIAiC0Aza000QBEEQRF74fL6kzx544AGYTCZMmTJFA4kIgiAIgh9oeTlBEARBEHlx9913Y9myZTjyyCNhsVjw7rvv4t1338Ull1yCxsZGrcUjCIIgCE2h5eUEQRAEQeTFkiVLMH/+fKxatQoejweDBg3C+eefj1//+tewWOj9PkEQBFHYkNNNEARBEARBEARBEApBe7oJgiAIgiAIgiAIQiHI6SYIgiAIgiAIgiAIhSCnmyAIgiAIgiAIgiAUwnDRTaLRKLZv346SkhIIgqC1OARBEARBEARBEIQBYYyhu7sbDQ0NMJnE57MN53Rv376djichCIIgCIIgCIIgVGHLli0YOHCg6PeGc7pLSkoA9Gbc7XZrLA1BEARBEARBEARhRLq6utDY2BjzQcUwnNPdt6Tc7XaT000QBEEQBEEQBEEoSqZtzRRIjSAIgiAIgiAIgiAUgpxugiAIgiAIgiAIglAIcroJgiAIgiAIgiAIQiG4c7oXLFiAQw45BCUlJaipqcHJJ5+M1atXay0WQRAEQRAEQRAEQWQNd073J598giuuuAL//e9/sWTJEoRCIRx99NHo6enRWjSCIAiCIAiCIAiCyAqBMca0FiIdO3fuRE1NDT755BNMmTIl4/VdXV0oLS1FZ2cnRS8nCIIgCIIgCIIgFEGq78n9kWGdnZ0AgIqKipTfBwIBBAKB2N9dXV2qyJUvjDE8/e/1WNfag4MGl2HF1k4sXd+GiUMrcO6hg7F45Q7s6PTj6FG16PSF8OhH62A1C9i/3g230wp/MIKqEjt+NqYBj360Ft9s3o36MidMAjC8uhhWswnnTRyE+lIH/vTZBmxq68HXG3ejocyJ/WqLAQBOqxkj691Yub0TZx7ciHe/a0anLwR/MAKTScCXG9oxb8YIBMNRPPjBGhwypAIlDgtOO2gg3lmxHW09Qazc3oUhlS7Uuh04fcJAvLFsKz5e3YrbTzwA63f24MX/bgJjDFP2q8bl0/bBJz+2YvnmDggCMK6xDC99uQUAsKPDh1ENbqzf2YNZhw1Ba3cAf//fdoQiUQDAqAY3jh5Vh3dWbEeUMQypLEI4ymDaE50/ygCzICDKGCxmAYwB4ShDTyCMbR0+7FNTDJMgwGYx4exDGrHov5vxQ0s39q0pRpQxuB1WbGn3oqXbj9EDStHSFUBbTxAja0tgNgvwhyIwCQK+3tiOUqcVlcV2VBTZIAAwCQIice+uiu0W7FtbjGWbdmNzmxelTisaK1z/396Zx0dRpH38Vz2TTO6L3CSQhFsEREBABUFR8b7FY1U8cFVcz/XAVVddFXVd11fXa/ddxV13vV5v12MRwRNFUEQEgtxXEiAh9zWZ6fePZCYzSc909/RV3fN898MKMz3d1fU89VQ99VQ9hcY2L77fcQCHDs6Gxy3A6xOxsaYJBw/MxJyJpXh15U7kpnkwY0QeXl+5E19tqsXEsmwUZSYhOyURA9IS4RIEfL/9AOZNr0BxZhKeXrYZm/c1w+N2ocvnB2PAN1vqMLwgHWt21aMoKxmtHV04a0IJLpg8CM99thm7DrTh5z2NGF+aBRGAW2Do8ovBd1m+pRapHjcS3QI8bgEHWjoxrCANuWketHb6AADjSjKxvbYV9W1eHFKahc827oOLMRwxLBfrqxqxt7EDe3pkmuDqFlKXT4TAGLbub0FBZhLuP+1gJCUKeGLJL6hp7AAD8OOuetS3epGS6EJpTgravT4MHpCK77bVYeLgHLgFhq21LchL8+Cqo4bgkY83QGAMXp8fLZ0+tHZ0YVxpFtZXNaJsQCqmD8/F5xv347ttdSjPTcWhg7NxwsGFeOW7nejs6tatnNREDMxKxls/7EZumgdZKQlhbTXwrl1+EWdPKMH7a6qwdX8ztte2orXTh1FF6djb1IHzJpVi9c56eNwu/GrKYKR6XHjhq23Ysq8F+5s7sPDMMRhV1G2MWzq68OSnm/DBT1VI87hRkZeKRLeAvDQPTh5bjDe+34V2rw9d/m698vtFDEhLxNwjyjEwKxmrttfh9ZW7IAgM7Z0+eBJcmDOpFJ+sq8F7a/Zg5oh8XDNjCPIzkvDNllr87q2f0O7144ihAyCKCMp96/4W5KQm4vAhA7B6ZwM27W1CfkYSKnJTccq4YvzPkl/w4856jC3JwqSybLR0dOH7HfXo9PlRPiAVPlHEym11uHL6EGysacKKrXXY39yBa2YMwaABKfjfL7Zi095mjC3JxMaaZkypyAm21wGpiSjMTMILX23DkLxU/LynESOLMlCSnRxsb4luAeNKMvHjrga0e334fvsBlOakoK3Th7LcVOypb0Nrpw8tHV2YVJ6D9k4fVu+sx7jSLOSlezAwKxldfhH7mztQ09COgswkXHFkOTKSE/DAf9bju23d5c1OScSlR5Thx10N+GZLLdo7fbj9xFHw+f14+MNKZCYnYGxJJgAgwS2gs8sf1IvCzCQ0tnmxp6G9X10UZyWjIi8Vcw8vw5e/7Mdflm7CKeOKkJWciL99sQVFWckYkpeKdXsaUdfSiRPHFGFofhrWVzWirUeuh5Rm4p/fbMfexg5MG5aHQwdn4ZeaZjR3dOH77QcwtiQTKR43dta1ItEl4MZjh+PxTzZiza4GjC3JwmHl2Wjp8GFPfRu+3VqHKRU5+HZrHQ4rywm29ykVOVi57QAOGZSFRJcQtAfjB2VjXVUDvtpUC1EUkZmSiKr6Nkwqy8FPuxuQ4GJo7fThmhlDsGLbAdQ2d6AwMwkrtx3AYeU5cPXcf1JZDvY2tcPnF1GYmQSBMTAAhZlJmD9zKJISXHj3xz34rHIfKmsaMTSv216v2d2AxrZuezCxLAejizNQkZeGd1bvRlKCC36/iC6/iA3VjShIT0JBZhJ+2FGP0uxk5KZ70NnlR1KCgDkTB+Gjn6swKCcF//52B/IzkpCZnIAfdhyA1ydiUlkOQk96Cdj5nNREeH0ifH4RRVlJSEpwYfWOepTmJGN9VROGF6ShprEDDW1eTCzLRk1jO36paQYAHDk0F+uqGjFzZD6OHpmPt37Yjc4uP8aWZGJnXSvqWrxo83ahprEDBRkebN3filFF6Vi9ox7zplfgg5+qUFnd1H2vYbkQevq3pAQXclISkZmcgMLMJHR2+fHEp7/gdyeOwqxRBXj44w34rHIfDivPwTkTSvHh2ipUN7Yj0SXA5xcxqTwH504sxYtfb8PPexpw6KBs/LCjHksr96IoMwnDCtLx/Y4DaOv09ZS1DYeV5+CsQ0vwl6W/oLXTh4KMJKzYWoc0jztYFwtOGImmji58t7UOhwzKwpL1e1Hb0omq+jYMHpCCitw07KpvRZdPRG1LJw4pzUJDmxc1je0oz03F8s21KMlORlFmMr7bVgcAmFSWE2bnCzOSMLwwHfubO/CfNVWYVJaDoswkzDqoAK+v3IkxAzPxzuo9SEoQkJ+ehG+21qJsQCrWVzViSsUATCzLxv9+sRVJCQLqW71ISnDhsPIcrNhah1FF6dhZ14akBAG7DrQBAAoyklDT2I4pFQOQlCAEbddPuxpwoLUTNx07HFkpidhR14J50yrw3poqfL5xHwQGJLoFzD28DJv3tWDxuppu2+EScEhpJj7buA8rtx3A2JIsPHjmwahv9eKppZtQWd2EcyeWYkh+Gu5592ekJ7lR3dAOAMjP8KAwIxlZKQkQGLBy2wFMKsvBvuYOrN3dENRdt8Bw0tgilGSn4KfdDcE2yBgwpXwAfGL3uCnBJQTle9WMIXhm2Sa8vnIXSrKTMTQ/rd+4amNNE6oa2nFYeQ5217chP92DiYNzUN/WiZrGDrR5ffhuax0GZidjwqBszJ85FG98vwv7mjpQlJmEldsPoLK6Ca2dPnh9fgxI82B0cQZmjMhDu9ePJ5b8gqH5adjf3N2eXALDeZNKceX0IXhj1S4s31ILF2Pw+v3YXtuKggwPkhPccAnddXHksFxcM2MollbuxbOfbcaksm65TqnIQaJbwDkTSvHfddWob/Xi0iPK8UtNExZ+uAFXTCvHzrpWNHf4sLexHY3tXtx98mh8/HM1Zo7Mx+cb92F3fVvwXt9urYNfFDG5fAB21LZiW20LDinNQnpSAgozPchL82B7XSuG5KWhsroJo4sz8NPuBowtycRL3+zAkLxUTB0yAD/sqMfW/S1o7/Kjw+vDwQMzg+PZcaVZyE9Pwucb92F0cQb+u64GDW1eDEhNxOqd9SjLTUW6x439zR2YMDgH5XmpeLfHJhZkJGHzvmZk9YxTDyvPQbrHjS827Q+Oy8aVZqGjy4eV2w6g3etDbpoH959xMD6r3Iedda1ISnShs8uPmsb2oA0CELTDXp8f6/Y04v7TD8bK7QewdX8Lhuan4dfTK/D+mip8tnEf6lu9qG5sw8jCDKzd3YAxAzNxzcyhWLu7AQ99uAFJCQImDM7GxppmDC9Iw6+mDMb/rdqFtk4fvt5cC49bwJQhA3DJ1DKMKIx+9rWd4DrS7ff7ceqpp6K+vh5ffvml5DX33HMP7r333n6f8x7p3l3fhjOe+srQZxwzqgBtnV34enOtoc8J4EkQ0OH1R/z+3ImleG3lTlPKYmcykhPQ2OaNes2cSaU489ASzHluueL7jh+UhR921GssnX4cN7oAJ40pxvWv/GDqc9OT3Ghq7zL0GQJjKM9NxeZ9zWGfr/jdLADAkvU1WPDmT6rvOygnBf939eGY/6/vgwPTAH3f64pp5bhy+hAc9sAnMbyBczlyWC6mVAzAox+blyukMDMpOHgmwpk3rQLzpleQnurAA2eMwe/ekrcrb88/AqcbPP6IN/528UTM+8fKsM8mVwzA5r3N2N/cEeFXwNiSTCS4BKzafsDoIkZkYHYydvdMNOjF5UeW4+9fbpW9LinBhXavL+L3L10xGb/6328VPfOM8QPx1g+75a87dCDe+l7+OicQmKwzgzeuPhwXP78CLR3S46tjRhVgyfoaVfc8cUwR7jl1tB7FMxSlkW7u9nSHMn/+fKxduxavvPJKxGsWLFiAhoaG4J+dO+3h1Hm7IjunWnH1TJd5fX5srGmWuVo/ojncANDYHt2RtDPnTizFHSeOwoTB2Yp/E5BTX9o6I3dAAZrau4KrAJRipi4oYcu+FtXvoAeB+p11UEFwRl+Ka2YMifkZflHs53CHEut776hrBQB0SNiPvnrTqkCP7Eyk9iPHpr3NpjvAdnO4J5VLrywzgt31+g72Q3Gr0JFbZ4/EHSeOwoA0j2Hl0YISfd/XFNm5C6UtipNDxEa9xER5TUM7OntsfaQ2taG6ydA2oAStDreUbrYo7H+iOdwA0CATgAiltqVT0XXeLv5ijbH2Z3L30dvhjmZTvT5/cAWhFNEmnyLRacEY0Ui4dbqvvfZavP/++1i6dClKSkoiXufxeJCRkRH2xw4Y2eSFnnVyvK1h4K08enL4kAE4ffxAVOSlKv6NwKSNl9LFJ2rrk8dFLVaUKPDMsQMzUZSZHPG640YXGlcGzS/e/wb8SddYIrUfQjvD852xnE9QMZA97ZBinD5+INI9fO6601PfOewKHEug33VKm5JCUjdJyVShV/s2ul9kUe5PEpeHu95FFEX85je/wVtvvYVly5ahvLzc6iLZDhqL2oNIciLDZSxKxwJ2a0fxNsaxm3zshFPq1invATjrXeIRJ8tP0uc2vxi2Ri/9MFrPnKzHZsCd0z1//nz8+9//xjvvvIP09HRUV1cDADIzM5GcHDkqZTeMjDoGGoXImdnjrTy6wgL/UW6RIjrdCqtJbX3yWPtWRN8D9cZY9A5EjSzVl0Hj7yVu4Oj2JQF1/sbhlKo1sg2bjb76Hl+2wkoCNe0cTeyPkYFuI4YIPPaVdnG6oyGK+o/pnBZM4G55+TPPPIOGhgbMmDEDRUVFwT+vvvqq1UWzDU4aaDiZSHLisUNwEhTpdgZk5wg57NaGo0H6TvCKlG7SOEYderVvo+2Ek2yqFXAX6eZx36kRGPmWvDYKJ4s2YOjU1L3mSLfqPd3qrjcDK4vEZLonI5sRj7KwG7zaOSfglLpV8xq8v7JTZBKvOFl+Rr6bET4Bj/2vEyLdxky1cCgsDXAX6Sa042Db7ihITpxDAuIaEo9xREuWYyec8h4A6bvdcZIu9kXqzXh0bHlGL+0wWstoxY02yOm2CCMNEuvd1M0VnBVHVwJVriqyorETVh3p5lEC1oa6LdzTre3FOZSk6Th5EEvog5n22Gj0LB85RCYSB3UtpZt6vXYcVB8A/dq31XZMb9viNFtFTrcD4XvoQAQgORFE7FD7MQ7O/U/lOOU94KhXiUsc06YkoEi3dmwT6XawHpsBOd2WYWSo2/AnEH0I2iFVm7q1PVN19nIOFcLq6Hu0aLax+9S0/p5DYZoNdf6GEY9LCLl/Yx0LSNbDPHqzl3OvYbEjeWSYPlpmSPZyHvtPu3jdURBF/cd0PIpKC+R0E4RNcUIiNZ5x8BAprqF2II9TohkOeQ3CBkg5cqEOSLQ25USbpNuRYSqcOCfWI2+QTdUGOd0OJNAoeJvN46w4uhLYR+OkbLlmYKVOMMjs6ebY83BwU1IMv9KxP06pWzVtmOPmDkBfmTi5L+aNwDiMc/XShPTycn6VjMeSOSDQDREG7OnmUlqxQ063A+HZWSB6ITnFL87qRqwh1vZDzU4ep9SRQ14DAPUXdif6BK955TACyURqFnRydq5HpyRS0xuO525igpxuizA0e3ngGcY9guhDMHu5eVu6HYGlkW7GZLKX84vTOqJY4Fk+dsfs/adGRcVU2WPOB6t8l46IpMHxsKdbMtKt180N2dOt/z21YpdIdzQ7yWO98gY53Q6E37EDtchQtMqJDJw2olW/0W2I56V3doFfO0fwgpMcHT313WlLNglrkdJN6uLUoVf7dlq/6DQ1IqfbIoxUpMBAg4ye+agZ5DlpQBgr1quoNdnLtWJ9vVkPtR/jMFv3jeqreG7DatFT32lsYAAR6jRQ107Sxb4YaYuNUFUeJ530qkOj+8Vod+exXnmDnG6LMHR5OadHhvn9VpeAL8wf2PKmEdYSfWk53yMkkqWzB7HxBmmzPHrqu5/sh+5EcjjiwRGRjHRzfWSY/vfUihMi3UaM8XmUlRbI6SYIHQjYOXIE7IWdHW+CMAre9zcrxSnvoTdOG8jagXjTRdIxhxLt6Ls4mGDSCjndFmGkcgaMO2/RMGqQ4WjthNXWJ4+1b6WOWplNlrOmaUvibRBrJmbXrGGJ1Ay5qzWQvvNNJBUOLi83ryimY6RuGjFu5LH7dUL2cjkzHouZd5rfQE63A3GyceeVYPZyNb8xpCSEbpCAuIbEYxyCQyrXSX4qndNtb5zSpqSw2zndPGKb7OUG39/pkNNtEfG4p9vZNli9KTI7ezmP9W9lkViUBeQMxg7Ytc7e8ihLs3GSQ8UbZkdLjFJnJ+mIk97FiUjZZAYWkkjNuQKU3tNNqMEJe7rlxyWkFeR0OxAH23ZHQXIiiNih9mMcTqlbJ+VloCPD7I1T2pQUdGSYduzidDt58sgMyOm2CEMj3eAz1M1ZcXQluLxchT3SOiBUW588DrSs7JgZiywvxowdrmt9bx5laTZOcqh4wyk166TxIR0ZxjdyVeogVeyHlG5S9nJ12OXIsGjIyTymeudQVlogp9uBOGmg4WRITgQRO9R+CDmcpCL6RroJQj8o0q0d20S6o3xHMpeHnG6LMDR7uWF31oaTG2TvkWHKa1+rnNQmKuGz/q0tlFWzwpoj3VzK0lx4tXOOwOw93bSpWxZ9E6mRATEdB+liXyQTqel0b2M0lT/9t0sitWgYUav8SUob5HQ7EQcbd0dBciKI2KH2YxhOqVmnvAcAXfXdaQNZO+AoXewL2WLt2CTUHe32NJknDzndFmHsnu6eZ3DWtfJWHj2JJbmE5ki3xt/zgLV7upnMWd1Gnj1KaIWGecZh9hjaqL7BSb4AHRnGN5EcjsDnTtLFvkgfGabPvdU4ckov5VH/4yHSHdOWbh6FpQFyuh2Ik427kyA5EUTsUPsxDqckqXPGW3Sjr747ayBrB5zSpqSQ1k3SMTXYJNAdVY8d5h8bAjndDiQY6aYGYBq9e7rV/yZWnCBfa8/pjiwDxowdsGudvXWC7LXi3CGs9Zge6SZ9loUi3XwTqUoDnzt5ktDQSLeqa5VdzaP+OyHSLSetWMY9HIpKE+R0EwRBEAQRxCn+AZ0pK43TBrJ2IN40kUfHltBO9D3d5pXDrpDTbRGG7unuaRXcNQDeyqMjwXO6VXSt2geE9q9Qq3U0kgyineGtB1pf28n5EZRCDpVxOKVqHfIaAEjfeSdSXxb43Mnik9JN3fooI87p5rD/1Kt9W2knjNnTHUtJ+IWcbgfiYNvuKEhOBBE71H6Mwyn7T53s6GjBaQNZO+CUNiWFkcvLjYDHsjljeTkhBzndDiQw0OBtNo+v0uhLoENVtadbo3XkseNQi5U6GjVzec//eEWJ7J2gH9Egh8pAHLKnm+c2rBY6p5t3ImQvD3zuHFXsh5Qt1u+cbhV3Upq9PLaiGIpdEqlFQ86sxGJ2eJSVFsjpdiBOGmg4GZITQcQOtR9CFlIRSZw2kCWsRcoW8zyvw2PZ9OrPjO4Xoy1fp8k8ecjptghDI3yBSDdn+h8PDVKVudMa6db2cy6w9JxuRD6n2+g93VqFp+TnTtCPqJBDZRhmV61h53Qbcldr0NMexUFXbDqye7rNK4r5SEa69VEyNbqq9FLeVoECcMT6cjqnWx5yuh2Io427gyA5EUTsUPsxDqck7XLIa+gOl06Hw3FKm5LCuW9mHnbxuaPd32H+sSGQ020RxmYv73mGcY+ICd7KoyfB7OUm7ukmtNF9FneE7OUGP1vzoFdRqNvJLY7aj5GYHummPd2y6PouzjYNliBXpc7RxP5I2mK9kperiXQrvZhD/XfEnm46p1sWcrodiJMGGk6G5EQQsUPtxzicMqHhlPfQG6cNZO2Ak3VRck+3BeVQCo9ls8ue7qjwWLGcQU63RRipm8FIN2cNgLfyGIG6c7q1PcsJ9WnlK0SrfsYi7/fWA62yUxIpd4B6RMXJg1irMbtuna6rukB7urlGqk5D7bST7ZVk9nKdlEzNXRTv6eawATgj0m2Xm1oHOd0EQRAEQQRxyioCJzs6WqA93ebjlDalFJ41jOey8U40m8rhXAZ3kNNtEUbOtPU2Cr5aAF+l0ZdYBnfaI932r1Er3yFahnIGYwdJWt+azukmh8pITI90G6SsTnJ0nPMmzkRqIiNUrZ1sr6Qj3eaXQ/GWbg77RmdEuuX2dJtUEI4hp9uBOGmg4WS0yonsl32hzkc7sbYfqvv4wcmOjhaoDeiP9PLy2H9rJ6RssV+v5eUq7qP0mTxWt132dGuxqbTChpxuy4jPPd2cFUhHAoaOspfbiSjdk9HndGtE2Tndzm1vAN/ysTtOPt7Iruh6Trd+tyIU4uQ2JRnpNr8YtKdbx/vEghHV6rRxDDndhGk4q+lYD4f9BqEQp3UkhLNwinvgZEdHCqV2hUenw4mE1nN8aSL0OzLMgItJ+2MnWiRdrl7J7JDTbRnGntPNqXl3cIOLbU83p3IyESuNcLQ93bxDg2ZqP07CKG12kobouWyUrAehJ7azxRw2AL3q0EpZGDEucdpQh5xuB2Iz8xe3aJUTRUu1EfXIMIOf7bSOxArIzhmH3cbQkXDKewDK3kWxXSH7oztyVeokXeyL1KvpNT5R01faeUykl3oYrWZRs5cb/GwnQE63ZRifvZy3BmBngyhHoM7VzDI6uRNWitU6EU1edheP0x17aj/GYXYyTqN0lVREGqvtbjzi5AS3tstezqH+O2FPtxHV6rRxDHdO9+eff45TTjkFxcXFYIzh7bfftrpItoNX0+60xqMVzXKi+tREVIfb4J6LRKcdXu2cE3DKhIbtlr1qJF6yZfOI1NLa0E+crIqSkW7ddEz5jWx9ZBhn94nl/nRkmDzcOd0tLS0YN24cnnrqKauLYihm7Onmbd8nZ8XRlWD2cjW/cXIvrBCrdSLqEnOO5aMse7mz4Vk+dsf0mqVIt6lYbXfjESfropQttiKarDyRoMEFiQFn7Ok24J4OG8m4rS5AX0444QSccMIJVhfD1vBq3J3WeLSifU83YRSGtyEee32bwaudcwI0n8EfimRi43OKnUioOJzcpoyMdKva023n5eWc3SfyA6JkL5epVh7r3Wy4i3THC2aoHm/q7WQ/o3dPt7XlsBuW60QUefEsSiX1ZnndEjbG5D3dBvVWZI8JfogvZeT7nG5DixG3GFGtTpMVd5FutXR0dKCjoyP478bGRgtLwwe8DjQc1nY0o1VOTjNGZhN9ablpxSBiJFYZkWzlcU4dOeZF9D0yjDoPU1C6p9vu7c1+idT4wxGJ1AyAR1lpwfaR7oULFyIzMzP4p7S01OoicUBgT7fFxegDb+XRE9bnv+p+Fb9YrRLRBrI8d17K9nRbXbtGw7GAbI7ZNWtY9nJSEUmcbhmsQE6Hna2K0oeG6YG6u9h3T7ddFphHTaQmU7F81ru52N7pXrBgARoaGoJ/du7caXWRLIffgQa1uFA0R7qpPjURNfJgcMdFktMOv3bO/jglSZ0z3qIbPUVCg1+TCKlop7QpKewW6eaxB3ZCpJuWl8tj++XlHo8HHo/H6mKoxtDs5YFnGPeImHBa4wklpnO6NTzPKcsDrX6P6Ev+OB4kKdrUbXwxrIRj6RAqMUpVeW7CRqDicCUDSxGfxPMkuJHNzJCM2ByKyh5x7ug2VT6RGsGd093c3IxNmzYF/71161asXr0aOTk5GDRokIUlsw/xNtCwKyQna7Fyjx2Pnb7doPZjHE6pWqNXrNgVsj/mELan27JSGI9kpNv8YtjaqXNCpNugWLcB97QO7pzulStXYubMmcF/33TTTQCASy65BIsWLbKoVPpjZISPBfd086WsfJXGGNQYPC0DQqfUpdXvYdeBEJ3TTQ6VkZg9cDOqr4q3iRk7J5KyO7J7uh2si1K2WK82rWYFgdJn8qj/evVnRveL0fd0y/yYx4o3Ge6c7hkzZnDnLNoNXo07yTUcyl5uLVY6bdQWtMOrnXMCTqlbp7wHoO92FzI/5hA353TbLNLNY//rhEg37emWx/aJ1OyKkXrEq3F3WNvpAwv5f4W/0CAnpxkiq5CTAbdtSdE53c5WEl5l4wTMnpAybE93nK2GUB7pc7ZtsAL57OXO1UUjE6mpuY+dV3o4wumW3dPNY82bCzndDoRX4+5wH0A1WuVE1akRC5Ookey0w6udcwRUtdyhp0ioLzaHMCfDwW1Kcnm5BeVQHuk2tBgxYZfl5dEgp1oecrotwoxGz5th4aw4umL6Hkin1Cbnr8GrY6dE/ry1f8I+OOWcbk6br2FQk7cOubqPM1W0ZKWVnfd024VoAQnZSDdVPDndjqSnTfDmmDl9uatqNC4vd0J9Wqmj0arf6AGSVtHRiWGIv1GsiXB9XJ4KnPEW3SgRiVK74ndA38EbUv1x+J5uJ2ljHwx8NWP2CXOo/3Y5MywKRuRR41BSmiCn2yKMdDZ4Ne082jm9CNa5Sed0E/ogF8l28jjJ7pBojMMpdetoR4fgnjCn27piGI7Uu+m3p1tN9nJ9rzMTu/jc0bOXc1ixnEFOt1UYqJuBgQZv+s9b5N1qtAwIRThjBtBKHbVyQK71tZUlUtP4EM4hh8o4nLJdxkkaouRd7Lyn1e7ILi93kjL2QcoWWzHeU/pMHseievVnPPeLsTjlTnPkyel2IAKnbc5hbSeMgKFTU/W8yimekM1ebk4xiBig9mMcvOYyUAvpiDQ8Oh1OxyltSgqpdsZ19nIO1V8vW2W0zRM07OkmyOm2DEOPDDPw3oQ0gTpXM8moWU4OMHBWvgJDZBkE5GjUrLHTZm+tgOyccZgeLDGoOfAc9VGLkndRnEiKzI/pOEgV+2Hkq8XLBJFdlpdHwwhZOU365HQ7EF4HGtTRh8OrnAjCDlD7MQ6n1KxT3kNvqC82h9BqdrIuSi4vp0i3KpywvJzHeuUNcrotwkjlDDQ53hqAk2csg5FRFV2rFtMois6oT2v3dCNi+IF3f05JtTlBP6LBuYjsjel7ug3CQUqi6zndOt6L6CGOzwyTTKSmk5apcrrtvKebs/vEguyRYQbc026Q0+1EODXuTms8muFUTgRhC6j9GIaT958StL3FLELr2dFtysg93WqutXGk2wleN4/VyhvkdFuEGTNtvM3m8VUafQl0qOZFSEU+Ow6VWK2jEfd0G9xzaT+nW/4GTtAPwhpMz15u1J5uJzs6Eih2OowtRlwi15fxvnpKb/TSMVVHhul8HaEOOVnFYuedJityuh0ItwMNp7UejXArJ4KwAdR+jMMpNRtvjg7BL05WRUlbbEGk285et179mZX9IofVyh3kdDuQwECDt0iX1VFNI+nd063+N7EgivzJNxYs3dMNFlEGvdnLzSsPoQ6SjXGYnYyHzumWR1eROKDv4A25vszJiR+lXo3O6bYGntUstj3dzpIVOd0OhNc257C2oxle5UQQdoDaj3HwPHBTg1PeQ2+c7HTwROiYx8m6KJlITbf15SoutfGebr30w1I147BeeYOcboswNHt5INJt3CNigrfyGIGqc7q1Rrpj/zk3WHpON4u8FCuWc9fVoHXQq8R+OG2GuC9OHsTGG7SnWwkKzulWGulztmmwhHiuUulItz6o6SttvLpcN6zsF2VlRYaHnG4nwutAw+lOgFp4lRNhPNQUtBNr+6G6l8cplineJmYokZp1SNV9qBMSTRXtbpOkbLFe4z2/qki30kkn/ipcv+Tl/J7TzV+tmw853RZhpPIFBxqk4aaj6pxuLZFupwjXws4vyjHdwS94nRhRIn+HaEhE4s2hMhPTs5cbdF8n6Yie78Khz+FI4mZ5uZGRblXndNsX3ZaXO+zIMKfZKnK6HQivxt1hbUczWuXE42ytrYhS/0Y3IZKcdni1c87AKZXrlPdQ9ibKl9eSBdIb+Tp1ji72RdLp1i17uYrl5bTSw1qnm1aXy8JEh43cGxsbkZmZiYaGBmRkZFhdnIgsq9yL11/7Jy7yv4PB4m40IQ3/47oEt/r+hgR4AQAJ6MIGVoF1bCgOFdehTNwFAGhFMp51nY8GpGOO/z84SNwEANiPbDznOg/nZa1DR91uFLhbkNdVje0ohAA/3hFmoUDcj7P8H2M/stHBEnEAmdjIyjBU3IFsNKBY3AsXfMFy1iILA1AfVvZaZOFr4VAMFbdjsLgHKWjDLlaIErEaXXChEen4SjgUw8WtGCFuBQBsYaVIdgO1XcnYyMowQfwZbfDgWzYOK4UxmOd7DWPFDWHPqUMWcnqevZWV4BPhcKSLrRgv/gwAGCFuRWVP/YwSN2GkuAVvCsfhEHE9KsSdkvW+gxXjL8KvUI5dONW/BAPFGtQiC/tZNjayckwVVyNHrEcTUpGJJuxkRWhBMhhENCIdNWwADhHXo0SsxmY2CEPEHXhbOBYXDmlDCjqwq7ELv99/DH4SRuIS35tIQwsyxWaUYTc+YYfjNeEE/Mb/T0z2/4hCdxO2+PLhg4BSsQptSMIzrgvQhFSc6/8AB4mbUM1yUSjuxxvC8RgubsVi4Uh8xQ7Fw+mvIq94MHasW4Ex4kYAwC+sDAPFGqSgDbtZIW5z3YJL/G9ihLgVg8Q9+IWVYZi4DftZDnLFOlSzXDQgHYPFPUhCB1axg/GecDSO93+BapaHoeI2vCkcj+P8X2IwdqNY3ItKVoHtrBjZYiOecF2MoeJ2/Mr/DsrE3XDBF5RZNcvDSnYwTvYvRSUrxy5WiMeFuRiIGlzrewkHixuxP7EEA1JcWN+QABd8WM1GoYFl4ErfK9jIylAqViMZ7QCAnawIGWIzMtGEJcJU5IoHMC5EX6pZHhqRisHiHnjQGfx8A6tAGlpRjwxUsnIcKv6MQWIVfBCQlj8YdV1JSKtbixqWi3qk4wAy8ZjrUmRm5+LtwzZg/wd/QLOYjDqWhVYkYZkwGf9hM3Gj/wXM9H+DL4SJABgm+dcgCR399K2SlWOEuBU/seF4R5iF/0n+O5Ccha1iARL2b4AHndjJivC6cALGi+sw0/9N2O93s0K0IxEC/OhEAkQwTCv1YMWeDgi+DlSycjwhXIwz/f/FZf7/C/ttU1oZKgqysW/zDwCADiRioesqXOt/CR6xAze5F2APK8Q0/3c42b8U2WiAR+xELg6gkpUjGR2oRzreEo7DCf7PsZ9lYQMbgpP8yzBC3IINrAJvCMfja2ECTvf/Fyf6P0MD0uGCD21IwrOu8zHT/y2mi9+hSNwLANjFCiGCoQmp2MQGo0Dcj1JUoVjci22sBHliLVLRht+5bsIelo9rfS+hEPswUKwJ1mca2lAs1iDJzdDR5UclKwcApKMFxT3PAYDnhbPhQScu9L+LHawY9cjAm8KxOM39DdILK5C241MUivuwh+WjCalBWwUAe9kA5Iu1+KPrCkwWf8R0/3cAgI2sDEnohA8CysVdeEs4DhXiDmSiGd+zg8Ls9D6WgzyxDu8Ix2A7G4iz/P/FQLEam9hg3OW6AVf7/43p/u+wlZVgLRuOYnEvCrC/pyxbIIQMDTewCqSjFQPF6uBnHUhEF1xIRVvQTr8hHI+DxE0Q4EczUrGH5YfZ6d2sEI1IxXBxG/wQkAAvtrBSuOHDKnYwhog7MFbcgOT8CrTt3QIA+EKYiGyxEQeLG7GbFcAHFzazQQBEFIt7kY4WbMdAfCwciTt9T8MNH5qQih2sGEuFyfhQmIEcsR7X+f6BdDQjGR1wwYcWpCAZ7RjuroF74CFYv30PWpGEFLSjDR4MF7dhPRuCDLTAD4ZSsQoAsIKNwwfCdJzpX4ytbCCO9n8DDzqRCC/2IxvVLA8fCEfhM2Eybi1chYG7PsBQcTsqWTk88KJM3BXUo8YeO1+PDByV2t1nrOvIQ5p3P/xg+KNrHk70f4ZR4iakowVeuHGT+w5M9P+EKeJq1CMDHwnTcYb/v8hCU9CO1/bYi2R0oFDcBwF+bGaDwnTsPte1OMa/HJlowhvC8TjG/zU+Ew7DkeIqCPDjKeFXuNb3T+SgAVloRK67E4neenQiAYnw4nNhEhiACnEnBorV2MGKUZyRgI2NCchAM5qRAgYRaWhFA9KRhlZsZoPAIGJ65j7gwNagjh1AJrLRgCXCVDwuzEUJavBr38vIQDO8SOiWm9iBbDSgkpUH5R64nxfu4Hulog1bWQmeEC7BYeKPOMH/OYrEvRiAeniRgAR4UYssLBMm4yz/xwCAbawEANCKJCwSzkQ5duFq37/D7NlGVobh4jZUsXwUiXuxmxWgGnl40nURSsRqXOt/KdieU8Q2ZKEpaBsCct/JigAgqEuVrBw+uJCJpqCN2cpKwAD4IGCIuAMAsIflox4ZwbFRJavAkf5VyEATvmNj8YTrYjxd9B/s27UJw8VtwTIzxnBATEcWGuEbex6+/2kdMtCEr9gEvOGaDQAoE/biWvFlJHob4IOAfwhnYBcrxFW+l1GKKvjgQiUrxw/sIFzt+zfS0QIAeMQ1D21IwjH+r9HE0lAh7kCJWI1UtGEDq8B6NhQV4g6MELciCR14UzgOE8SfUSruCbMtgTb1qTAFt/ueww5WDNbzfTNSMErcjCakYj0bimqWixHiFjQiDU+6LsZ5/vexBwUYl+9CUc1SbGUlaEEyxovrUcxqcQ+7Bkf7v0Eu6sAgYpBYhUR4cZP7Doz1b8Bl/v/De8LRmOr/Abk4AKC7z1vNRiJPPAAPOpA35BA0bf422HZ2swK0IQmDxD1IhBcbWAXeE47BCjYWv3P/A/kd27ETRahhuTjVvwRA9/ihFUkAgE4koDp5GIa1/Yh2JGKkuAU/seF4wHUN7vM9juHiNnwgHIVMsRnVLBdTxNUYKNYEdamK5UMEw0z/NziATNSwAfCgE+XiLmxjJSjp0S03fPhCmIhv2HjM8f8HpWIVGETsZEVYwcaiQNyPp12/wjz/qxgqboc7vQDfNufhdP9ibGaD8F/hSOSJdRgjVmI/ctDKklAqViENrSgRq7GeDcEbwvFwwYdT/EvxlnAsjhJXIDOvBCl7f8AwcRu64IIIhi2sFCPErcGxX6BPyUBzsM/sggv3u67BSf5lmCT+BADwwo0EdAXfu0jcC5fAsEPMx4fsKKSiFSPELXhXmIXT/J+guHwktm/djIGoDvEttmOEuBUedKLdlYokX0uY7u1h+fDCjXZ4sIkNRpbYhDLswn/ZkfhRGIUrEz/CUVc8AuRUgGeU+p7kdFvEssq9GP3yYZrusZKNwcSexhGKxy2go8sPl8AgioCfExG7BAafxAadd4RjcFqPcTSD9WwIRombdb1nTmoiXIyhzevDh97xeEq4EK903dDvuivcD+J/u+4A0CunvkSSa4B/CafiUuF9eNwCmtq7Il7XimSkoE39yyjkCdcluM73ouLrf+O+G8f5v8Qp/k8BAG6BwZPgQktH5HcwkszkBHT6/Gjr9IV9vtD1a2wdMB1vtV6G/S0dYbOzXrhxi/t2PN51f0zPzEvzAABaOrvQ2ue5au5R29IZbNe/dv8Bz3Xd1e86j1tARlIC9jX3nwwAugc3V7rvx3+8Vyh+dgcSwyY11rGhuMV9u+Q93hBm4yz/R4rv3Ze/uc7FPN9rEb+P1H7kEBiDJ0HoJ3czWceGBidLeSQrOQH1bV5d7nVSwv/ieP/nuM73D8nvkxJcSEl0oa6lU/J7Lc/9j3Aj0NGk6PpA26xr7ZTspwJ0wQUGhE1OG0Hf9pPgEuD1Rdf3lESXIruS6nFHtLu/cd+NI/zf4zz/++oK3Aet7V8pf3Wdh5P8y8ImpMzmDWE2Lk74pF+dMsaCK9JC21QbPDg74SkAwIX4D37V9XbYOG0NG4GxYqVJpY+NpcKU4CSxlC2ONN5TSzRdDbCFleJfwqm4R3xa0TOlymb0eEmK0GfG0p/9zIZhlLgZAnp/F2u/qJRocpWTlcCYan/ELTBkFw8Frlis6ndmo9T3pOXlFqGHG+yGNc6K3rhgnIGQIgvKBmGhhM7kR8SVCAAQRH9wdrAvSmQmd002GuTLAhjegagddLrgl4wG80JAxtH0MQFdhg+2IxGqg6H2I9byFIr7VP8m1OHufnb/ugqU06NR1i5RmV1Yw0aiBcmanmU2gaiOUSiyV9HQeYmiVX2VS9Rn4iAUN3ym2ACt7SdWXPBHlZeUbq1nQ/AH1/ywz7IU9lNacYk+5Iu1kt+tYgfjMddlEX+rtp18xSZIfq5IViFtyh1iN91if10qgPT78ESa2Br1ezNDPd0665N9ZiT5AfLjpfVsCOqhbyBP6xjNBV+Yw+1Y6ndYXQLdIKfbxjCb7UyJVFqzne5Y8CJB/iJ3d6QkmhFUYiDtIlemUm5qrzebgIwZxKg+B7No5UgkHbRyp6CUTDt7yql1MKD093vZAHTAo+lZZtN3eafedCqxVyZilY6GPtcHl0WliA2rBtMM/qjykrJD+1kOvmNjjStUFKL1l9UsF6vY6IjfK+rXQ9jFCiQ/jywr6bKF2k279Pd9kS23ia/V3WfLn6MakF8sRdvPctDGkmL4pXE4N0uAc9E4HU7EjA4GyXbGOkJx7TBT51MyPyV0D+qiyUXJYNsuclVr8I12NGIhfFDeLWO5clqlr+E62FtGK9uPVF35e8qpdTJNaTsQARk3gT+Ywih+rPg5m0/nwcbzZ32iY9VktAAx6gSpVF9oZRuMZie6XbHIbUFRvx52vfTEjVpZhdYUD20jFngqtwB/Pz3wu5LgS8oGWK+ME1kOvOJAMKi3B26WA7/YrnqiRinMxeD1qSuVgFx4+6yyiOU+avCxyMe4dSS44E2IvAoolnr3M6A9ORFob1f5S31xuVxwu91gGjPVkdNtY3h0YmLBDpFuZU53d3OKJhclyxLtIle1na5VEWKl9Drd0d/LKvlE0kErBz9SA97AwFRru1Zaz34IEBmzlVdltHvCW1SXh4nEbufLun38arGqX2SiGLXtSdkhf4+rbgXRyirKxO3VOt2RJrPUO91xEOk2ke6pld7ydGQNQ/0hVwOe9LDrxiEFdTgKsbh/xfCAoQt1BtmQ0P3/SkmBG3WInEfACBhYxIzy8s9WX+8MDHUCgK1bZa81mpSUFBQVFSExMTHme5DTbRF6HNnB00yjFqzaI6sGv5JBbM+MarTOSEnnbBe5qu10Ja/np99WJmNYN9iIVD4rJ62kdDUwkNXarpW2g+6BNV+RXTmMbuNqnQmjETiYcLPbaghD+8Uo4mAykW4pOySCAaz7l2bbx+hlje50K7X5ASJHun2q+rJQB9Euk+x9MW2coqB6Qldn+F1JqD/kaqTlD0ZOqjvsCK16ZCALjTFFXFuQjER4I+br0YoABr/KUgVOMtB6HzVEqzu5Z8dS7wyAmzEgr1zlL/VDFEV0dnZi37592Lp1K4YNGwZBiK2PJafbxvA006gFOzjdPibIW4ueSHfU5eUKlpXaRa5qB9K8Dy4CMhZkhudWySeSDirRKaOQqicfcwGiee3aL7sLnz+M1qGADHiBh4lEcrqVIUAm0i1hhwJ1a4XTHT3SLSDauhJF/Xro9REj3THIShR7DlXmqKGqgKfWFBrp9iVlA5505KS6kZwQXko33EgCi8n588IND3xINOjNhRiy3ggQ+pUnlvuoIarTzVjEpedyv432G7cgAEnW7qdPTk5GQkICtm/fjs7OTiTFWB6+psPjCD0m/iN1blr3HJiNWqfBigG2ouWaweXl/fcXBXCHdM6R5GQbp9thidQCMu7uwLUlwzOCSDrotnDSisHfz5gFyql1MkCungPtx8qlrbFifKSbr+Xlcphh8aLt7eURqybTWJT+C5DWrUDdWjGxEa2scpFute3ExyJs8YlBVgEbwPtkdCTClshbPOYMJlIDelccShYp9nKKGn9vGjYool2JNboddg8dykFYhF2cMznULo+1xulWl0gtkmyclL1cLbwPLkL3dEcrq2WRbg73dAsSuq5XIjU1+mK3KKbROsTbcnvrMnH31jPf1qc/Rm4biVYXUm06lEiJ1Lr/y5fTLfZY80jomUhNfQQv4MbxPRkdCbP6cyVPiRboUHsve+G8N3I6fPXMcYQekW7enRilqI3UaR1gxzLgVRvpjjTIVHJerdxgixf3Qu1AWm7ZttUEI7Qyg07rEqlFinTHtsdMD8dPailqV0+3ojUCr7R89ox0G6tDXZx17VZNVIUmb7Sbjhi7giX6pGL0RGr97VDAsbWijrv7S+nyioheJrWR7kgOfLesYstxItXf22Hi3byJNPm6EMTIY65wtOknT1KZdfbluPXuhYY+474/PYOJx55r+T1iYdGiRcjKyjL9uXLw1TMTquBhn5weqN0PZUXHrihyFJJILZJslEQv7NDhAjolUuOIgIwZRAgsmtOtvd3FUhN6Zc7VEyYx4O2NdGtLOKO0nv1qE6lx4HsZbbv5i3Rb5HSH1LPdnG6t7SdW5BOpSUW6WcTvjCb68vLoU71qy9sVMdKtXlaBNsEgcmGT1MJT0IdBmU3VVmJjhXTZDXciceA4zL/tD/2+u+6OB5E4cBwuv+Gu4Gev/e0x3H3rdYaWSQlvf7gER578K+SOPAJZw6Zg3MwzcPPdjwS/v+mqS/Dxq3+1sISReeCBB3D44YcjJSXFNAedr545jtDDXPHuxCjFDk53pM42jJAjwyKVUNmRYdE7D16krrbTFdA/Zz8v7wL0ylhu0GnVZFckHbT2yLD+eqDXkWFKW7low0i34YnUONvTLaujBlVHaD3zltFdjljajx7VKLe9RsoOhSZS6y2LOW2yW7eknyXKJFlU1K+HoNc53UDo8nKeekE18FNuOZ0NoEUnzdjTXVpciNfe/Rhtbb1nUre3d+CVtz/AoIFFYdfmZGciPS3V0PLI8ekX3+LCq2/FGSfNwlfv/wsrPnoF9932G3i7eieh0lJTMCAny7pCRqGzsxPnnHMOrr76atOeaa9eiAiDp5lGLah1GrQOnmLp5BR1zq4EAIFl1JEi3fJOt13ch1gSqfH8bl0hy8uFKCpiVeKySDpodSK1vnrQpZvTrTzSbTen22jbrdXpZjarT0nEvisw+JqIkMOqFSxy2culnW4rE6lFxiezp1ut0x050h1/idR4Kne0PDp6YvQTDhkzCiXFBXjrwyXBz976cAlKi4sw7uCRYdfOOvty3HL3gwCADZu2InPIZLz81gfB719/92NkDDkM6zZuBgDUNzTi17+9B8VjZmDAiMNx3DlX4MefK8Pu+chf/o6ScTORM3wqrrz592jv6Iha3v8s/gyHTzwEN189FyOGlmH4kDKcNvtoPPHgHcFr+i4v7+rqwo13PYS8UUeicPR0LHjgz7js+jtx1mU3hL3bjXc9hNvv/zPyR09D4dgZuOeee8Ke/dhjj2HMmDFITU1FaWkprrnmGjQ3N0ctb1/uvfde3HjjjRgzZoyq32mBnG4bY9cEHH1R6zRozUIbSwepbHl5aPZrafOsbHm5PeSqfnk50L/b4qfjDsg4fH9Y/yGdVUf5RF5ebp3T7ZJwunuXl5tzTjf/0zn9MbqN8xbVtcKB7Ks//FgaZVjVrrUsLw+d/DIrghutrHKRbrXLy6Oe0x0FqRL0Li+3R3/fF55W5AUSqUk9UxRFtHn9aPOKaPf6e/6u/k+7V1T9GzGG5E1z55yOf7z6TvDfL77yNi6Zc5rktQG9Gjm0HA/fdROuu+NB7NhVhV17anDtgvvx4B3X46DhQwAA5//6FuzdX4f3XnoK33z4MsaPGYXZc65E3YEGAN1O+h8eexZ/uP03WP7ByyjMz8NzL74WtawF+QOwbuNmrN3wi6J3EwH88akX8PKbH+Bvj92LZe+8iKamFrz78dJ+1/7z9feQmpKMr957CY/ceRPuu+8+LF68OPi9IAh44okn8PPPP+PFF1/Ep59+iltvvVVROayEzum2MTzNNCoh4tl+qrOXa4PFcLyHsuXl+jjddpGr+uXlypaAWUVvpNsPFmVPN2+Rbkv3dItSidR661ELSnXFjpFuo0vLldMtRnfijKKv02c3HenbfswqvV7Ly80i+jndLNLZUQDUR7ojOemx2LqAfvLcJ0ZDflLFvPfqHXP1f2Z7l4hZ/6gCwOBDTcyTWX7UqI6of3JxUb+zwuW44KyTcOdDT2D7rj0AgK9XrsZLzzyMz5avjPq7q+bOwUeffoGLf7MAiQkJmDhuNOZfdgEA4KsV3+O71Wux+8el8HgSAQAP330z3v14Kd78z2Jc8auz8eT//guXnncGLj3/TADAfbddi0+/+AbtHZ0Rnzn/svPx1bc/4NBjzsbgkmJMPnQsZh01BeefcVLwOX15+oWXcetvLsfpJxwDAPifBxbgo0+/7HfdmFHDcNdNV4EBGDW0HH956W0sWbIExx57LADghhtuCF5bVlaG+++/H1dddRWefvrpqPVkNeR0W0QsM2B9sZ+xlj+7Wglak7XEMixQ9EzBBcaiRwqUdM52kavagbRcBMVqQmXcu9+uv9ZatYdazwGfXkgNdALl1Do5YVgiNQ4wuh3wVB9WTbbZd69sN1ZN7sk5FtKRbiHid0YTPSofvbdXH+mOlr1cHQH7xvQ4ysYCeBqn8D62UEPegByccMw0/OO1dyGKIk44ehpyc7IV/favj92L0dNOgyAwrP70zeD56WvWbURzSysKD54edn1bewc2b98JANiwaQvmXXRO2PdTJozDsq+/i/i81JQUvPPPv2Dztp347OvvsOL7Nbj1vj/hyf/9N7547x9ISU4Ou76hsQk1+2ox6ZCDg5+5XC6MHzsKfn+4Po0ZNTzs30VFRdi7d2/w35988gkWLlyIDRs2oLGxEV1dXWhvb0draytSUlLkqsoyyOm2MU4xMmaf0x2Lk6LuyDBtidTsItdYEqnx1FH3xRcSoY2mk1Yt+4x1aWMk9IhKSa3q0CuRmlJEmQzFPML7nm49kTuCyih4tjVKsHZPd+RnSx8ZxmukO7pTrbadRHK69U6kZodVGTxNanXnYZEuT5Kb4ZOLiyCCYS9yUYB9MT2jARlIRCeS0S5/ccizY2HunNNxw53dx4H9zwN3yFzdy5p1G9HS2gZBYKjeux9FBXkAgOaWVhTl52Lx//2932+yMtNjKmMoQ8pKMaSsFFdceBZuu+4KjJ52Gl5/92NcMuf0mO+Z4A53Txlj8Pu729m2bdtw8skn4+qrr8YDDzyAnJwcfPnll7j88svR2dlJTjfRH32ylxv/DDNQ6wTb+5xunRKpcSBctYNaxvny8oCMGcSo0QfenG7rE6lJO93al5c7N5Ga0XRx1LWzCMs+zXmufbFqBYtchgQpO2RtpDtaVD66XVDvdOt3goQQxem2AzwdWRttdQZjDMkJ3T1VEgQkx6ij7XBp+r0ajp95BDq9XjAwHDfjcEW/qTvQgCtuvAsLrrsCVTX7cPG1C7Dio1eQnJyE8WNGoXpfLdxuF8pKB0r+fuTQCnz3w0+46JxTgp99+/0a1WUvKx2IlOQktLS29fsuMyMdBXkDsHL1WkybMgEA4PP5sPqnDRg7eoTiZ6xatQp+vx9/+tOfIAjd8njttej7z3mBn56ZUI1dIqJyqD8yTJvRiy3SrWx5ORC9A1DybPvIVY9EavwQkLGA6Od0WxWBiqSDVi8v76uvgXJqT6SmTFdEGy4vNxqe9nRbtcKFJ6cgFqxLpBY974mUbgWka032cpk93VFQ2070TGbZu6fbnnrKU7kDidTk4Hf0EY7L5cKaZW8H/66E+bffj5KiQvzuhivR1tGBScfNwW1/eAxPPHgHjpk2BVMmjMXZl92IhXfegGEVg1FVvQ8fLPkCp59wNCaMG41rL78AV9x0NyaMOwhTJx6Cl9/6AOs2bkb5oJKIz7zvT8+gta0dJxx9JAaVFKGxsRlP/v1f8Hq7cMy0qZK/uebS8/HIX57HkPJBGDGkHE+/8G8caGiMlnqhH0OHDoXX68WTTz6JU045BV999RWeffZZ5TfoYceOHairq8OOHTu6nf/Vq4P3T0tLU30/JZDTbRF6bOORHcjYxMKYvbw8tki3Eqe7d3l55ERqSs7ptofgYkqkxvH+tV6nO/KRbwDgiiERnx5EXtoorVNmxBellg53MRcg6nFkmNJEavY7p9toAjLgAav2W9pdK6xbXh59RZKUHQo4oyJjpuudbCK1KKh1usWedQB9n6llebld+vu+WJnAsy/Kt7BoswhmWpSMdOVO3z9ffw8fffoFVnz8KtxuN1JdLrz45IOYccZcnDhrOmYffSTe/edTuPvhJzHvpruxr/YACvNyceSUQ5GfOwAAcO5ps7Fl+y4suP9xtHd04IwTZ+HKi8/B4mXLIz53+pQJeGbRq7js+jtRs78W2ZkZOOTgkfjg5WcwYmiZ5G9umX8pavbtx2XX3wmXS8DlF56FY486HC6X8rY4btw4PPbYY3j44YexYMECTJ8+HQsXLsTFF1+s+B4AcPfdd+PFF18M/nv8+PEAgKVLl2LGjBmq7qUUcrptTCQjY7eBhtpZYiuWl/uZID+YYKGR7gjndIc4bJHeQq7z4EW+sSRS42l2vG89hso4mvnX5R1iGGdF0kGrJgEA6QiDWUeGBeTnt+GRYUbDU+TfulML7OnMBOjXfkxScdlEahJ2KOCMcJdITSZ8pqhfD72+pxdDH9lEtHVR7h1MpMZRn6gGK4+q7IsTEqk9//j98EdRmDeefzzs35/839972psfF51zStiycACYNH4MWratCv47PS0Vf/7D7fjzH26P+Izbr7sCt193RdhnC393Y8TrZxxxGGYccVjw3wJj8PcJrNx989W4++arg/92u914/P4FePz+BQAAv9+PMUedjrNPOS7s3fry9ttvh/37xhtvxI03hpftoosuCv597ty5mDt3bsSyA8CiRYuwaNGiqNfoDTndlqFD9nILB9t6otZp0DqbHssAUG7vFwOCkW7NR4bJ1Acve8BiSaTGS9mlCN2LHDXSzcOe7pBqtPTIMPTXx2AiNY32SamPIQYHwkQAnhKpySXmMvK5diam9qPwlaNdRonUIhOpZ3eJ0dwlSBqz0BMy7IhZk71KVFrJFhZ7r3txDtt37cEnny3HtCkT0NHpxTMvvIxtO3fjvDNOtLpopsDtSOWpp55CWVkZkpKSMHnyZKxYscLqInGHwNFMoxbUvof2I8OMSqQW4rRFWEatbHl59Gt4cVzVDqS5O6e7Tx/c63SLcEUpp1WJy/TOXq4HUonUAu1Tq31SGrngTKu4QHPEUdfxqTXSsbtWWNW/y50FIO109ywvD/mleeeKm5dIzR9hgk+JrFifstg90s3T+FPp+dlaLYKhjnuczAkITMA/XnsXh590IWacfgnWbtiEj175K0YNq7C6aKbAZaT71VdfxU033YRnn30WkydPxuOPP47jjz8elZWVyM/Pt7p4uqDH1lae9tRowR5HhpmXSE2uPoSoi5D4hpcJAykCMpbLtmzVEnm7JFLrCi4v15q9XLmu8LScmge6OKoPqyLddnVmAli7gkVdIrUA/jCn2yxbb/6e7r7Etqe7G7tODsm+s4mvFdy6JvvMOPFsOaZ0YCE+e+dF+QsdCj89cwiPPfYY5s2bh0svvRQHHXQQnn32WaSkpOD555+3umhcYTunO4JBpERqfa9RtpfV6pxksUS67eB0y0XkectebmWkW0rX9TqnW+lglBKp9Ufr8nI9a9O67OX82hol2DKRmgVOt6mJ1JieTncg0m1PPQ19Zx6sL0/5YszCrroTz3DndHd2dmLVqlWYNWtW8DNBEDBr1iwsXx45i57d0KOp8JTIQgs8JFKT65wVRdIUJFJzK4p0yy0v56NzUX9Od+SIFw9OU0DG3fuUo+3ptqb+I+mgEp2KiMaZG2ZoIjWFR4YxinT3haf6kNIRM7D7INy6I8OiJ6WS0q1Anxz6nVn1H72sOvTrfe4ntbw8FlkF7Jtd9ZS38aeSfpBcVMJquFtevn//fvh8PhQUFIR9XlBQgA0bNvS7vqOjAx0dHcF/NzY2Gl5GXuDN6MWK+nO6Y3PQGLqNrtRg3gch6l7dLkV7uuUTqSlbXh69PniJ4KgdSEeLdMvVvxkEZCy1TzkUq9pdJB3UMmjT6gxFTaQWpZ4CbVFt2Xxw9buv2OMmEL1QIjX79496lF+qvQCQzaodzf5J2aFA++NvT3d0p1pRvx5CxERq8Kn26AJ30queIsraINQ8S1PZFNarGTaGj5EXYWf4mQ6PkYULFyIzMzP4p7S01OoiKYL2dPei9j20RnFCjXPvsUM6ZDntcbpd8EfsANzokr2Nkj3dPBBbIjXp31gXmesd8oQmUuM+e3kISnRKCj2OcGMSMtVteTnrbyQj6YkqpzsORk48Od1WTYm44ONj3WuM6NG/x2JX5U6ZUJxIzaTs1kKUHBzyy8vVJ1KTqtNIsopmagJ9jNRe5JiONTW5D5XTz9A3MKNsbnQpqDWtBoEvg0LLy+0Hd053bm4uXC4Xampqwj6vqalBYWFhv+sXLFiAhoaG4J+dO3eaVVTLidjg+LILQSKZB7WGw4ghnFznq6jTEHqWJ4uRI7phDluE15CrD34i3eqvjxzptt5J6F1e7ocQ5e2smvQI1cHQWrQy0i01QA9PSKft3n0JSxDGAv8RNW85cRpq96oaidwRfEbRd+WM3QaoepQ3loR6cpmgo/W/4XbJnPqO5tzL9dtqncFIq2pikVVvIjV92obZyRPVvLMZZbP7yhYiPuCnZ+4hMTEREyZMwJIlS4Kf+f1+LFmyBFOnTu13vcfjQUZGRtgfOyDabADAE8Y43eqXofUrRXB5eeQBhz6rE/jQHbUD6WjLFq1yEkJl2HvUFZ+R7khLIbWUR4+Bcf9EavrIUkoGkSZnaHl5ODw53dG22xiJU1aCaSGWyUw5efGZSC229q8+0i13oJpyeo8M06eeeJi4joQZZVPS3rUfGUYQ2uCnZw7hpptuwt/+9je8+OKLWL9+Pa6++mq0tLTg0ksvtbpoumF15mk7E/OAUqqv7PlMbm+XmuXl0SI7egwEBU6UR89Eamr31hlBaIQ22rtpSlymgcjLy62LdAP9nX5FbUXBuFXqrPRIesJT4jAe4Kk+lJxaYMQktNTe/3gjFrsqtwdfMpEa6/+ZWU53tOfIbxtTn0jNr1NfFSi3XvXEQx8aCTPKpmxsFbsNEHvW6vHCrLMvx813P2LoM+770zOYeOy5lt8jFhYtWoSsrCzTnysHPz1zCHPmzMGjjz6Ku+++G4cccghWr16Njz76qF9yNSI+MWLwJNeRyjoSDGGJ1CKVUI8oKS97ulUnUhMjL1vUayCjhYDU5PY6W3dOt/6J1PR4l5icbgVItaFIeuJn/AyGeICnAXj3yh8rEqnRpoNY7Kpctvlo2ctDMWt1g5m6FX3hvTqCidR0mkTnoQ+NhBllUzK24jnSfdkNdyJx4DjMv+0P/b677o4HkThwHC6/4a7gZ6/97THcc+t8A0ukjLc/XIIjT/4VckcegaxhUzBu5hlhkwE3XXUJPn71rxaWUJpt27bh8ssvR3l5OZKTkzFkyBD8/ve/R2dnp6HP5S57eYBrr70W1157rdXFsCVOH2gYMZTyMSGqRVU0I85Cz3mOFOnu7RhifQs9IwhKskhHQs9zuuXq3wwCTrdcIiHrEqnpf063HgNjV589lXotbZbSL3+InoS3H6dbPXXwtNRU+mRj4xFMSuTFM7HY1WiTo5HQa59zLGjRLfVHhgkQdeqrwhKp6QAPfWgkzCibE/Z0lxYX4rV3P8aj99yC5OQkAEB7ewdeefsDDBpYFHZtTnamFUUM49MvvsWFV9+K+277DU4+dgZcAsPPGzdjyeffBK9JS01BWmqKhaWUZsOGDfD7/XjuuecwdOhQrF27FvPmzUNLSwseffRRw57LZaQ7LuBkibAdkTonUytyg1SfxPK5foRFuiMcGabDQJCfRGqxJI/hOZFaINLtl8ycHcCySHcEHdRWHj2Wl/dxupW0FQVIHxkmfW+KaYbD1/Jy0bRM1qFYfQShFfRtMZFzIERGLpGalG5Z63THrltq7YYYZQpJ7dv2HhlGe7qjobR2nDDJdsiYUSgpLsBbH/bmtHrrwyUoLS7CuINHhl0burx8w6atyBwyGS+/9UHw+9ff/RgZQw7Duo2bAQD1DY349W/vQfGYGRgw4nAcd84V+PHnyrB7PvKXv6Nk3EzkDJ+KK2/+PdpDjmOW4j+LP8PhEw/BzVfPxYihZRg+pAynzT4aTzx4R/CavsvLu7q6cONdDyFv1JEoHD0dCx74My67/k6cddkNYe92410P4fb7/4z80dNQOHYG7rnnnrBnP/bYYxgzZgxSU1NRWlqKa665Bs3NzVHLG8rs2bPxwgsv4LjjjkNFRQVOPfVU/Pa3v8Wbb76p+B6xwE/PHGdQIrXYMaLm5DpfNXu6o+0J1mNPNy9ZeN2iukEtj4nUQsUemMzpdhKi7OlW+d56EXFPt4by6BLpNmh5udTER6SNG+R0h6PXxIceCBYlUuNlG46VxGJX5XJaSLU16eXl1h8ZJofarWrRnG61BPoYvdoGT8kT+2JG2SKOrUQR6GrX4U9bzx8Vv4khuDZ3zun4x6vvBP/94itv45I5p0X9zcih5Xj4rptw3R0PYseuKuzaU4NrF9yPB++4HgcNHwIAOP/Xt2Dv/jq899JT+ObDlzF+zCjMnnMl6g40AOh20v/w2LP4w+2/wfIPXkZhfh6ee/G1qM8tyB+AdRs3Y+2GXxS/3x+fegEvv/kB/vbYvVj2zotoamrBux8v7XfdP19/D6kpyfjqvZfwyJ034b777sPixYuD3wuCgCeeeAI///wzXnzxRXz66ae49dZbFZdDioaGBuTk5Gi6hxzcLi93OlbM/DsFI6I48keLSHS0fddmC/LnPDvJ6Vb7LtH2SvMwSx+QsZyToIcMY5FgJB3VUh59speHP1+v9imlK5EGyUasfrEzPA3A5fYIG4UTlptqJRa7KpdITaoNSrV5MyPdsT5L/fJypput0TuRGg99aCQszV7u64D7lfPgBsMgCDHbhdzgpLzy/rbrvFcAd5Kq51xw1km486EnsH3XHgDA1ytX46VnHsZny1dG/d1Vc+fgo0+/wMW/WYDEhARMHDca8y+7AADw1Yrv8d3qtdj941J4PIkAgIfvvhnvfrwUb/5nMa741dl48n//hUvPOwOXnn8mAOC+267Fp198g/aOyHuc5192Pr769gcceszZGFxSjMmHjsWso6bg/DNOCj6nL0+/8DJu/c3lOP2EYwAA//PAAnz06Zf9rhszahjuuukqMACjhpbjLy+9jSVLluDYY48FANxwww3Ba8vKynD//ffjqquuwtNPPx21niKxadMmPPnkk4YuLQfI6bYMkZzumDEmkZoO53nGWSI19Xu6+y9bDPyLh+WwvVILmTSR2PRuXSI1lcvLFYzl9Dg/ue8yXr2SeEknUqNItxJ4GoBbl0iNnO5Y7GosidSkejwzI91mraTQ80l6Ly/noQ+NhBllc0p7zxuQgxOOmYZ/vPYuRFHECUdPQ25OtqLf/vWxezF62mkQBIbVn74J1pNgdM26jWhuaUXhwdPDrm9r78Dm7TsBABs2bcG8i84J+37KhHFY9vV3EZ+XmpKCd/75F2zethOfff0dVny/Brfe9yc8+b//xhfv/QMpyclh1zc0NqFmXy0mHXJw8DOXy4XxY0fB7w9vB2NGDQ/7d1FREfbu3Rv89yeffIKFCxdiw4YNaGxsRFdXF9rb29Ha2oqUFHV7yHfv3o3Zs2fjnHPOwbx581T9Vi3kdFuEXhkr4xEjBthyjrwypzsQ6VaWSC1WeHG61b4Ll8vLQxAVR7qt6dwjR7qtPqe7byI1vZxu5ZFuSqQWjh4y0JJkMRT9TjZWh9PO6Y6lDmOxq7E4sdKRbnOQ24MeDWsj3TonUuOgD42EOcvLI/SDLg+6znsFPriwB/koRVVM969DJlzwIRPK9w3D5YnpWXPnnI4b7lwIAPifB+6QubqXNes2oqW1DYLAUL13P4oK8gAAzS2tKMrPxeL/+3u/32RlpsdUxlCGlJViSFkprrjwLNx23RUYPe00vP7ux7hkzukx3zPBHe6eMsbg93e3lW3btuHkk0/G1VdfjQceeAA5OTn48ssvcfnll6Ozs1OV071nzx7MnDkThx9+OP76V+OzrJPTbRnOGhCYSeydXuRhpJzTrSi6zlw9T4mSSE2Pc7o50Z1YBrWR6oWHI44Cx06FRnqkpG7VYN6I5eVGnNOtbCAr79JJDfwj3Zsi3eHwFPViUbbbGInTnO5YiMWuxpJITfo+ZkW6NSwvV3nUYOx7uiMfqSZV9ljeh4c+NBJmlC3iuIixniXeLviRDEDdcu9ektE9bu+K8ffKOX7mEej0esHAcNyMwxX9pu5AA6648S4suO4KVNXsw8XXLsCKj15BcnISxo8Zhep9tXC7XSgrHSj5+5FDK/DdDz/honNOCX727fdrVJe9rHQgUpKT0NLa1u+7zIx0FOQNwMrVazFtygQAgM/nw+qfNmDs6BGKn7Fq1Sr4/X786U9/giB026PXXou+/1yK3bt3Y+bMmZgwYQJeeOGF4L2MhJxui6A93bETq5sgPczv/lSuI1W7vDxSpECPjLq8ZOWNJdId+Zxu652EsERqHEa6I6GlPPo43eqPDFMSRZVqQ5RITRk8LS+nRGrWEdvychmnW8JRlXqOWZMeWp5jaSI1RE6kFssTLO1DZQpsRtmUjYu0yc4sK+ZyubBm2dvBvyth/u33o6SoEL+74Uq0dXRg0nFzcNsfHsMTD96BY6ZNwZQJY3H2ZTdi4Z03YFjFYFRV78MHS77A6SccjQnjRuPayy/AFTfdjQnjDsLUiYfg5bc+wLqNm1E+qCTiM+/70zNobWvHCUcfiUElRWhsbMaTf/8XvN4uHDNtquRvrrn0fDzyl+cxpHwQRgwpx9Mv/BsHGhqhZv5r6NCh8Hq9ePLJJ3HKKafgq6++wrPPPqv8Buh2uGfMmIHBgwfj0Ucfxb59+4LfFRYWqrqXGsjptgq/8c1XhDMXXeppwAODf132iQsuMLCoy8u5i3RrWEOq3um2UyK1yHVs9fLyvuKKVh65UxL0yV5u3jndlEhNGTwtNe12U2hPtxWYl0jNyj3dWo4MM2d5uZTV6l1N1b/8sQRleOhDI2FG2Zw2yZaRnqb42n++/h4++vQLrPj4VbjdbqS6XHjxyQcx44y5OHHWdMw++ki8+8+ncPfDT2LeTXdjX+0BFObl4sgphyI/dwAA4NzTZmPL9l1YcP/jaO/owBknzsKVF5+DxcuWR3zu9CkT8MyiV3HZ9XeiZn8tsjMzcMjBI/HBy89gxNAyyd/cMv9S1Ozbj8uuvxMul4DLLzwLxx51OFwu5e1q3LhxeOyxx/Dwww9jwYIFmD59OhYuXIiLL75Y8T0WL16MTZs2YdOmTSgpCZ9YEA3c/ktOt2XQnu5YsUMitUjoMfvPy7LJWLKXRz6n23onIaBXTIy89xywcnm5tN5rW16uRyK18OV2eg2wpCIXlEhNGTy0pwACREvaDC8rgqwktj3dkSeNAeWJ1OwR6VZ7vYZpyj5VFCi3VJ8Yy1N4avN9sfTIMJvw/OP3wx/F2Xvj+cfD/v1JyP7si845JWxZOABMGj8GrdtWBTUpPS0Vf/7D7fjzH26P+Izbr7sCt193RdhnC393Y8TrZxxxGGYccVjw3wJj8ItiWCzn7puvxt03Xx28xu124/H7F+Dx+xcAAPx+P8YcdTrOPuU4yXcL8Pbbb4f9+8Ybb8SNN4aX7aKLLgr+fe7cuZg7d27Esst9bxTkdFuGGQMCZ8a6jTkyTG55uYJ6FHr3dEfqAPSIvvASwXF2IrXIHXhfJ9MsIk02RZKDkmGbMZFunZxuifPHI0e6nWfntMDDdo0ATLRGOk6LfMVCrE53NHlJWQwpfTPLTmrpD9VGrbvXbOidSE1qeXkskW5+2nxfLE2kFoLW3o76Ge1s37UHn3y2HNOmTEBHpxfPvPAytu3cjfPOONHqopkCOd1WQXu6Y8YIw6dnIjUAECJ0APEd6Y68CsCKpXGsz9r6wFBTbp+zVYN5ZyVSk0dg/d8r0r1pMNSLno6BHliXSM0HJ046qyEWu9ptp6MtL5eKdPfHLDsZzf7J2Te1K2T8iHYgqDpY8L96Rbrje3m5sn4wdtmZde680xGYgH+89i5u+8NjEEURo0cMxUev/BWjhlVYXTRTIKfbKgzd0+3sgYYVTrfcIJaBBZeXA5E7gHiOdEc7/5UHJyFQBkFmD6rbIqc7ksWIXR9iP2onlP5HhukjS5dEpDt8kNz7d3K6Q+FreGhVIjUXbTqIMZFa9O01UrUq5YibZSfNjHQHejE9CNhNqcmJWFowD31oJOicbiJA6cBCfPbOi1YXwzL4baUOx8iZf6cPNKw4p1tRFyj0zuZG6gD0jHRbPbBW+y4C/BF/w8OAIbinG4AQZW+VVZHuSAPEWHVKr722fXVdr6iGXCI1p9u5WBFjTPbUD50qWMuRTlqgQbiWRGqR5cVbIjUtNiy2SHdsbavvk3oTqUlFuvlIpKaXjeUl0m31mIkgrB/pxilGZsdzOkZEteSic4o6WiEh+Fep/aiAPvvcrNpT3JdYspf3y8ra0wx42I8WcPzlsi1bl71c3Z5uJeiSSK2Prux5RKEAADwsSURBVOt1JqvUe0m1fX3i9c5BBB/tKQCTyZFgFJFssJPpO67wMem2GG38weBXnT070C5D26dZdlJLf6h2LBFtDYDaMV3gTlITvLGMcCLJmge0lE1pvZoxLqIVVYRW+OmZ4ww6pzt2jIiKyjnVyhKp9d4j4vJyHeSuxz30QGr5bzSiJegRGT+mSPacbosG8xETqWkojx5DiL4OlV8nWUq1Iak6UL3L0uHjpu5MBfy8pFxiLqNwwe94WcvRFVMiNfXa0zth2Ws3zbKTZvaHogGJ1CSPDIthkornzRSx6KFagnoQ/K/UVfzWkSNw+Oy3HsFSfka68YaRHYXD7Ypeg/pQ5JqSsiPDeiPdkWb5IyVYU4Me99CDWJb1RYp48TBg8IVFunk8Mkz/RGp6RCD7Pl+vSLeUnodFcK1XGW7R6nTrWbXWJlKLb3wxpO2JZWWClUeGResP9Z588vWcwaEHgZJJxc5jyYHAwxatSMSih2oJ6IHgbQH8Pngl8iZpcZl4msgkrKG1tRUAkJCQIHNlZCiRmlVwEq20I0ZMpsl1WIoMbkgitUiDFmdlL48l0h0pkZr1HVpgtUP3MvhoTjdnkW5Ny8uNSKSm1/JyqUg3vwNLnuChPQWwKpEaHRkW2zYDFsOGDSl9M8tOmtsf6p9ITa/s5Va2ebknm3lOt9DZBPe+n7A/NRPu7BSwnsL54YcfXrTHaIu86IIIxPx7OQQAfl364977hJ/Pog/R7hl4tp7PZQDczA+0t+t0R/WIoojW1lbs3bsXWVlZcLliH+OQ020V5HTHTMwzulEsgS5HhpmYSE3kYB2P2kFttPOveXCmQo8MixaZs+7IMGkd1FIePZwhd78jw5QcrwfZXllq2aj1Wm8PeGhPAeRWjhgFRbpjPadbfaRbqk+2QyI1teh7ZFjkRGqxrAzhqc33xUynm0FE5oaXUZsxGDvasoPf+yGgjnXCJ9bFdP8WNAMAGtCqvbASMMZ0Wb4cfh/93W4GFnH82ftsfd1ulwCgOfbosl5kZWWhsLBQ0z3I6baI5PYaq4tgW2Lt9KL9Ss6RV7anu9fpHoAGyUsSdEj2occ99EBtOTLFpijZy62PzAX0KhVtGNC1N+J1VtV/JB3VUp4SsSrm3wYYgPqwfyuZFFMibTe8/T7jeQklT/DQngIUYx+S0GH6cyPZ4HgilvaSJTaqdmSl+mSz7KSZ9ljU0ekuFPejQtyBBAk7F8uEBc8TkmbY7VA9cLfXIf+LO9CVnBsclzUiFU+7bsTjvvtjuv83bAbakYgzxf/qUdx+eNwCOrq0TyAlJ7jQ5u1Zas/0P5042j0TXQydPhGMAXrlimYAslMSgcs+1OeGMZKQkKApwh2AnG6LKN/xhtVFsC1+MDQjBWk6zjjKO90KOg3mCnoTs/xfSV4i1cGqpfse1g+qE1W+y1Txh4jfWbVfKvSpARkPFbdjVONOIFl6ZlXte+tFpDrSUp7f+v4e828D9NV1vaIaifD2i1V2or9MOpFoypE0dsEPZkjei1i50veK/EUGeAzdetk7xGlmqcgVD+h2/y64+q3y4I2uGIZ40ew0AHgl2mDANrUhKfiZWXYyWp/qlXl/1fXDtCdSC+jNRf63cZH/7e6aY+G2nec93bHofSx6qJa+esDELiS0Vgf/3c4KUeXyI6Frd0z3rxfa4EMHEvyx/V4OT4ILfm//elVb3x6PG10d3RMQLoHBp7PXHe2eiW4BYpdf1+cKjCEJiUBSkvzFNoCfnjnOaEor75dw6AAyw/69ih2Ml4TTUIesfr+vRRbqkIXv2FhsZSXBz+uQhYbUcnzHxqABGf0MceBe37BDsJsVhH1WzXLDrv2JDcci4UwAQAPSwzqwfSwn7O9Puy7EBlaBn9mw4Gd/cf0q+E5PuC7BRlbW7z32sxzUIQtr2MiwDrsvy9l47GM5qGZ5+IJNwu/cN+EXVoblbDxqJeoHAHayIqxjQ/t93rc+nxfOxqfCFOxlA4LPelk4GQCwlw3AIuFMVLIKbGAVqGa5WM7GYwOrwHNJlwXv4S+fAWSWorrsDNT1yEaKOmRhFyvEt2yc5Pehcg28H9CbnKq2z71Xs1HB7xa4fov3hKMjvufjrrlh//6raw7WuEYDAHazQqxnQ1CPjLDf1iELPrjQgcTg7wIyrUNWPx3+h3A6vmcHhX32Z9el2MGKI9bLG8JsfM4moZrlBT+73fVbvC/M7HctADQiLfj3TWwwNrAK/NV1HlazUWHXNSEVa9gIbGGl+J6NDmsLP7KR6MwZjv3Zh2A9G4JnXedjLRuGX1hZdxtyZQEZRcHrq1leUAfrkIUWJAe/28pK8EOfdwaAViRjrvvh4DvLDQClCNTvBlaBSlaOF4UzIaZ3l8sPAU1IjahrUoOwgHyBbjmGymQ3K8A37BCsZcPxtOvCoDwC39cjHbXIwnI2HpvYYHzLxvWT6fvCTFQjDyvZGNQhK1hvUsnVAjakA4lh+gUAbfCgXsjCT2w4nnFdAKBb1n9zzcG2EHu3ho3AJ+xwfCpMQU0f+xVqowIEyuoTPMHP9rIB+LPr0n7XSv12ORsffKdIdMEVtBOhz+x7rzZ40IyUoF4B3fbwX8Kp+EKYFLw2IJcAgYmHD4Wj8LZwLL5hhwTtdDNS8IYwG1tQirVseL86qEUWXhVOwlJhMr5nB6GSlYd9/yMbiQ2sAm3T7kAVi76Mbjsrxp9dl2I/updw1iO93zX7kR3UkUpWgZ/YcADdbSG0DhtLjkI1y8PX7NBg/f7CyrAigp0M1On+nvf7kY3s9551yEKbp/deD7muxELXr7GRleFx11zsYflYwcZhByvuZ7MC9O2TA+9Zw3LxtOtCbOyxF0B4/xl4h0Ab+lSYiuvdd4bdpw2eHtt0UK9ewoU2JKETCahDVtB27WRF2Jw+SfJd+/I9OwhbWClWsHH4UJiOHaw4eO9mpKAFyfAxaVvUguSgvNay4djAKgB01/O3bBx+ZCPxOZuI14UTgt+vZ0OCffsrwknBtlyHrH5985qQsofa0CddF6Gy51mhnwfYw/L7tdGnXRdgLRvezwbtZQOwgo3DajYKX/fo2ELXVQC6JwcCereDFeMLNgFvCLPDfi81VmlAerA/WiJMDbartWw4NrNBqEMW9iZ161VoPwYgTIc3sAo847oAe9mAYLnrWBY2uHrrugOJEW1GXwKTjVUsH1+wiXhDOB4r2Dg8L5wtqbtKCG2XPwkj0Roij30sB8+5zsc6NjRiv1PF8oP3aO/R8feEmWH9c4OErQh9fjXLRSUrxxo2Ak3uAUEb6YUbz7guCNqRn9kwPC+cHWzvXX3GKgFEMLwgnIkO5sESYWrw87VseL8xD4CgTQv0W+vYULwnzMR3whhsZ8VoRkq/Z4Tav3VsaNSEooG+OVIdLmfjsZ/loIrl4y+ui7CFlWIPyw/rB/r2v33vVckqsC5hND4RjsCN7juwiQ0OyiXSGLSvDV/DRgT//jU7tN/1gXoKPLsxodsG1rMsyftJ0YHEYH3sl+izAQC5w2TvYxeY6LADoxsbG5GZmYmGhgZkZGTI/8AiXlu5E49+XGnIva87ZhieWPILkhNdSE10Y3+zMUv7jJhFi5UElwCvL/rSnIHZydh9oC3ss4KMJNQ0xpagISM5AY1t3bOrX91+NBJcApZV7sWt/7dG0e+vnF6Bv36+JaZnjyrKwKyDCvDkkl9i+n2AtCQ3mtutWS49ND8Nhw7Kxmsrd1ry/H/Pm4JV2+vwp/9u7PfdwQMz8fzcSTjn2a+xvVa/FRUrfjcLAHDfe+vw/po9Md3ji9tmYtrDS2WvGz8oC4+cNQ7H/vmzmJ5jJFJtsS/FWcnYUx/5mutnDcP/fKJe/wszkzBrVAFe+ma76t/GC/+9cTrOePprtHQYbxtOHFOEUw8pxlX/XKX7vW+YNRyPf9K/fUsRaJvnPrsc22pbdC+LVo4bXYD//hx9W9oxo/KxZH3krTFqryOUE61Oc9M8+NslE3HGU/1XwCW6BaQkulDfqmxlgJnjLk+CgA6v/JLnSw4vw4tfbzOkDPGiq+dOLNVlLBTaLyrpZ9VSNiA1on08ZlQBlqyvke271ZCZnIDFNx2ly72MRKnvSZFuB8JMWqlr/QJndUiVV0tdWf7+zpovMx2z2okUPCTCsxIlVS8nH2Z9C3Q0TqhdK9u43ijRd6VdAnUd+iNXp9Gkp0YePKq0ke0sXnRVrzoMtRPm60pPckAdH+w08ZPTbRUmaFK8GCueYCaN8pwiWqudT7mBLI+OnZqBtdX1qwW5mneSQ8UbZuu9UX1VvKkIOd3WEa1O7WqreOj/SFftQ0BW1msNv5DT7UDMMpRmOZh6IVVeLW+g9fV5qD/rS2AdVr57vA8k9ND9eNZdU3BABXNgYnVDybsonWSz82Qcr8jVaTT5qZEGD+OGvhg55owXXdWrBkPVw2xdMWJc47Ad0OR0W4UZhiRejJVSjDQ/rM9/jUYUSbq6IBtONaUUhiCCX+de2fJymVUIMcpGFPmtF24wUe+7B1XGCISHSJ2ZUKTbOrREunl1LHjw7zmtGltgtvjE4PJyDhSHU8jpdiCk79JI1ouFlcWDmOLZOMbzu1uNkqqXnw8h+REyOEhFlLyKUv+E/Bj9katTJ9srQ/d0G3drvtCpEkPvYvYQx4jl5U6TPzndFmHG7F08zRAqG8Tra4HCElb0FMBMI+cE+fL+DkaJU0tkQ92ebj5R0hZl25IG4dA6keiYaccYY9zbAbtAkW7riBrpljFWvIqDh2kC0tXYMT03R+C5PCgOp5DT7UBI3yMgUTHW7unW9ns94KAIlhHP7245SibJ5JaX61QUQhon1K8T3iGAkpU5tKfbOrTs6bY7Rr4a6ao6wvTMqki3k5VdI+R0W4SRZiSg70bPEPLUrmJdrqrfMQ3m/CZA975U7QK2WoZWdqeMWZchW8t7Kx+EiPzuFdThGi0dO6fVwg0M5g6cjBIHDf4IHlDS1/CI0vZDzYwfrDwyLLin2+Tn2glyuom4gToGguADRZNkMtdQcybkiDsdoU3d1kF1agxUrzFj1ZhX1+c6TP7kdFuEkZEW844MM+UxilC0R1TiGr2PaVBT95oidToturI6uYuVEUcGpmAJszH1o+W942ZPt9wZ6pr2dBNycGTeY4anPkoryo4MUwbpv/5Eq1MW/L8YfmwhSpuPsUeGEaoIPTLM9PXlFj3XRpDTTcQNeg/AaOkiQcSGLpFuan6EDPGmI0q3k/C67cTOUJ0aA9Vr7Jievdwm97QScrotwtDkECY1NJ5ms6weXMWSvVxTpE6ns4atrjcrk6RYu6dbQ/ZyNdc6rccKQZP9cXLF6ABjzBEnMfDUR2lFybtQpNs6otYpY1Hlx608OGg+3NYN0Y/ABInV40qeIaebiBt0j3TrezuCiBso0k2YQbzpCB0ZZh1Up8ZA9Ro7joh0O0wByOm2CHPO6Tb2ITwNaJRlQ5bY063zS6i5m9YnO8IUWfwSVumwtj3dSo8F4hc99nRrgee64QEGc6PEThtYWQVFuq1Ddk93tN/aXP+N7EftXTPmE35imMnndJOwZCGnm4gbeJokIIh4Rp9INzVoIjrxpiO0p9s6qE6Ngeo1dhwR6TbgnlZCTrdFGHpOtwnPCH2OndH9HUyqFP3O6bY4e7mlT7duCbMZ7y2KeuW45xOt59wTkWHM3AGbYed0G3RfK6Ds5XwTNdIt0554lQcP7YfXuuEVK8d0tKdbHnK6ibhB96XkZFgIIiaUtEWrJ4QIwnaQ120dVKfGQPUaM2b3ocbs6TbgphZCTrdVGKhJgYZmtLLabVAsVVr9k6uZk75crwim1RK0culYd/Zya87p1oKqcTWnHZayHAwy32s6p5vTiuEEp+wFtFkXFRUHvUrcwSBzTDen5kjpGM9uY0EnwyL83RTonG5ZyOl2MDSwDEf/c7r1vZ8aeO2k1eKU9zATNRmKea1eXfZ0U8fuGIzqq+JNR/wKjYPS6wjlUJ0aA9Vr7Ji/p1t/WTnNjyGn24GY1c7sNpyRjHTr/BaqzunW+Czqi7Sh5Cxiw/Z0x7nsrI50E9Hp3oNq/wp2wCsEUbSnm44Mswy5Oo3WnuzuWBjZzEhX1RGqZmabv4CsnGR39YY7p/uBBx7A4YcfjpSUFGRlZVldHFtDxioc/Y8HszBhhWVP1henvIepKB1Yg18boMeebkqk5iCMWl5uzG25RanzZncnj0eoTo2B6jV2TN/TbYConNZXc+d0d3Z24pxzzsHVV19tdVEMxdDs5RTqlkSyuBreQaqeVZ3TzUH98VAGq4jvvO3WQpFu/nFC9TohWh9AybtQpNs6otUpY9Gn6O0uD0PP6bZ53ZiNpZHuOB/XKMFtdQH6cu+99wIAFi1aZG1BDMZIQ+KgcYbh6F1VagZ5miLlOumP1bpidYcqG021uoIkUBzN4vjIMH2qVUsiQiIaTjjfFbDevpkNJS+3jqhHhplWCudBuqqO0HGl6XacIt2ycOd0q6WjowMdHR3Bfzc2NlpYGoJn9M9Ubi28OlR2gRLhWYmS5eUmFINwNE5SISXvQpFu65Df0x37b3mH9nTzijVHhvEYrOAF7paXq2XhwoXIzMwM/iktLbW6SIow8qgks/YaO6FZWZnRnIcjj+Itu29fZJcwm1IKdagxHbwOWJTpvtwqhNifz2u98IJzjgzjsQUbCcW6rSNyncadGuoK6aoawpaXOyDS7TRMcbpvv/32nkzBkf9s2LAhpnsvWLAADQ0NwT87d+7UufT2htpAKA46Mwxk4LRiaSK8OJedoj3dNFC1FLPq38gJaEdB2cu5RjbSzeUUrj4YOblFuho75mucaNFz7YMpy8tvvvlmzJ07N+o1FRUVMd3b4/HA4/HE9FsrcUIiNSdEEazsCHnIvmy1CHlfIm91/UihOJZl83O6Ze+h4be8653VOOF8V4AGfwQfONnhJviFIt38YYrTnZeXh7y8PDMeRfSBogi9OG9PN6EFS/d0x7n0lAxCrW5f8Y5pkW4D783jpFmsKGkztLjcOmTr1EG62BdDs5cbd2vHY9Vkj5Psrt5wl0htx44dqKurw44dO+Dz+bB69WoAwNChQ5GWlmZt4XTECb6wE9qVlY64tj3d+mC1DK1uB3IysLp+pFA6kSZC5HbSTZdINw8NiOCaeBv8KbYNnNoFOxO1TuNMD/WEdFUdof2iE06hcJr8uXO67777brz44ovBf48fPx4AsHTpUsyYMcOiUhFEf6we0DnMFpmOleKLd9kpaTtWt694x6woiaHHZzrI21HSHijSbR1ydRo9e7m9JWJo9nID7+10zF9erv+ebqfJn7vs5YsWLeo+X7bPH6c53E5TJDtghv2h5EP2Qm5QzmPeAlV7ujlVE6udIU6rhRvMlo5hespf8zUUSqRmHRToNgbS1dgx/RQKU59mT7hzugntmOUocOiPmIrW19dqEHXZFxzPQrTg1QOTJdQ5yWPUgCGeVV4N5u3pNvL4TOeg6Jxuhfci+6M/spFuDb+NZ6hu1MHDCj49fRCnTbqQ020RZkUqnaawWjBnEOmkYZ7xWB2xt+eebqtLoAOWb81wQiUah9krPAwLdMfZDAvt6baOaHUaZ2qoK6SrGnDAnm6nQU63AzGrnVm9RFQPLO0MNT6b+iJtWKG/AZnFu+z0OKfb/taHb8yqX2P3dDsHctyci+37A1JOLjF/m5ARe7rt3jjCIafb4ThNYbVghpPlhGN2zMTq93DyUIHngZzVEUie64YHrBqs6U28+QK0p9s6ou/pjjNF1BHS1dixup8l+kNONxEzTmjPWjpDMmiEWsTgf+N7JKFLpJuan7GYVMHx3RL0RaldiXf7YwRydRptvGB3eRibvdzedWM2oWrmhISYTpt0IafbIsxSJKcprBbMGEOauSTTCXudrH4Fsx07PWSmZmBtdf1GwkqHWRTJ0ZPDCee7AvEXYaRIt3VEjXTLqCHJIzJUN7Fjvh0nYclBTrcDCW1o1ASio8Uoac9eTlhJNNmTbIxFUaRb9jg3fcpCSOOE6nWSjsTbBILT0Et6POo0j2WKV0LthFWRbtKHyJDT7UDM6pzttrzalEi3iodoqT8RzpgBtnJmlIX8v9xVeiH2+4uWm8hcJvI786yH7dBi55zQdoyEMWZefgoRhs0O26uHio4SeVCk2zrk6tRmwyVVGDnmJF1VR9jycsuUzsHKrhFyuh2OE5YgEwThLKhLJkwhzhSN9nRbB9WpMVC9xo4T9nR339c5OkBOt0UYaUjMmtyy23hGajZW75lANXfT9GSHGCErX0NJNM+otmRCoJvv1RDK1pdrvwcRM+ZVr2hYf+ikJdlK3oQi3dYht6fbSbrYFyPHnKSr6mAR/2E8ATvu5FUdWiGn2+GQvSIIgiDikXgb/KmZkCP0JdY6JacyOlQ99sG4SLcx97UCcrotwkglirNxhib0ris1gzwtA0IDt0GaipXvwGB+MDXQ7rUsl1L8U46zdCuJ+hgpG1qyyA/dJzEYc29H9YWKNnUrvBepv/7InNPt5AkgQ1+NdFUVlp4MEiiDdUXgHnK6CYIgCFNx8gCU4Ae7JfvUCu3ptg6qU2OgerURRkW6jbmtJZDTbRFGKpFpe7rtNp6RKK/e72DWvi0jo0PxAmPyg3Ldz+nuafna9nSrOaebTyVRtKVbVjaUvdxIzHJYDY10262P0gjt6bYOLed02x3a080ToUeGmat4tKdbHnK6nQ4ZLIIgOIM6ZYLQH1pdbh1Up8ZA9WofKHu5POR0W4SxOmTWOd2mPEY3pIprs1cIIhqY8ddMLM1ermhfsc7ndIvh/9VyDyXX8aohVu/pJuQxq36NtGTxpiNKB6dOGsTyglyd2m28pAZjz+kmXVVD+Dnd5j67d0+3g5VdI+R0OxwyVwRB8IaTB6AEP5CeEbxDTiXhFIzSZSe1EHK6LcIZ53Tba0QjtUdR93O6TaoS5+zptjTULR9NpXO6DUFJvRp5hjoNdOUx05YZh736KK3Q8nLriFanjLGI4yVHyMLIPd3G3dqRsAh/N7UM8WV2VUFOt8OhwSVBEPxBvTJhPPE2+KNEatYRa52SLKJD9WMfSFTykNNtEU44p9tuAxpH7enmeL+uGizd082MjaZKoc853Wr2bfKpJYoi3QY+n89a4QvTTmKAcZPDdrXvsUKRbuuIGulGZJvnhNwsRkK1o47Q1Zum7+kWrXmunSCn2+GQwSIIgiDikXg7p5tC3RYSY52SKGSgCrINRknKSSpATrcDMWugYbfhjBnVYuoYzwGWyNrs5Qoi3XpnL9fjnG77i12fc7o1yMYRdWi0rTEzP4VB97ZbH6UVinRbR/Q93aYVwxJoVRKfmJ53qadjtVu+JzMhp9vhOGFwSRCEs3D6IJTgg3jTMwp0WwfVqTFQvdoHwyLdDpp6IafbIhyR4MxmIxrJPd06v4Kp+yBNeZKxWG1MzZ6RDTZ7E16b6+zlepzTrSV7uQNaj9G6a+o53QaJI94iLkr12gn6zxvR6pTB2asujFxdSbqqjrDs5Rbt6SYiQ063wyGDRRAEb9hsvo4gbAFFuq2D6tQYqF7tg1H+hpN0gJxui3BE9nKTnqMX0rOxdj2n27jokJlYm71cyUHd+j7TzNflOcO9omqV3W8fO05oO0bbGnMnRgzKXm63Tkoj5HRbR7Q6ZYw5OqmfoXu6SVdVEapmlkW6navqmiGn2+GQwSIIgjecPAAlCIIgiHiD/A15yOl2IGaNZ+02bjZlT7eJdeKErQNWvoGSfXZ6izOQy0GL7BRHs1Rca0s07em2P8YnLzdr2Y5xemq3PkorlL3cOmTP6TarIBZgZDsjXVVHuCys0Ton67pWyOl2OI4edBMEYUvizRkirCHuEqkp7PAdkciVM6hOjYHq1T7QOd3ykNNtEUbqkGmRbnMeox8SBdb7HUzLXu4QI2Ttnm4FZ0Eb1Ji0vLfiKLkocrsaQln2cuPO6XYCRi/RNy0/BQw8pzu+VYTgCCfropPfzW6E9ovm7+nuOaebFCIi5HQTBEEQBOE44m3sR4nUrIPq1BioXglegwexQE63RRibvTzORhoa0HbWr773U/dsh2Qvt9CYsigtxagknMFjurVEuh2wp1uPdqKp7XJaL/GIkScxxFtfSOd0W0fUc7oVrKpS/BwORWdkOyNdVYmFJi+gm/FlddVBTjdB2BAeO17CHBQnSzIwQZVWlHTKxk5gcVoxcYpRA+t4i3T7FVaj0usI5VCdGgPVq33wGzTg4HUcEwvkdFuEobN3IQMNI5NQ2G3fhtRsrN4ztGbWiIPskCV0Rx/kr9GTQHOM99l7XSLd2m9BRMHMPd1GEW86QonUrCN6nTpbEw3NXk66qgoW4e9mEFwh6Gx11wQ53QRhQxzTDTnmRcxD8cAaHCdSU9ArG9lv0ziOL+jIMH2gI8Osg+rUGKhe7YNREyRO0gFyui3CrEEfRRF6EaSyl9v5nG4nWSJO0V2cgUh3nMtOSTuRX4VgNwukL0a/vjNOYohvHSH4IM5NFWEiof2i6dnLA88197G2gpxuh2NowjYHtCy7voPI8XFQarD6DWSPpdJZQQIy0/LeztjTbW3D47Ve1GBX29UXJxyfyQ0U6raOKHUab2qoK6SrMWN1P6sXTtpiQE63RRitQnE32CAIlVAbsQ5FkW6ZAYOTOmIecUL7cMAr9KJA38nnto54rlMjVx3Fc73GgqX9YiB7uRM6D4Mgp9sqaMBoOubYAZOWZAb/z95Y7TjJLmHW+XmiDsvLnXAWr9VdshNWiTiF7lU7xhBvgz9KpGYd0eo0ztRQV0hXY8eq5eVEZMjpdiiBKJGRg0snLF3R8g72f/v4JprsSbbGQnu6teME+2s0jqohBfpOkW7rMKtOeTR7hia9NPDeTsTKfjEwQaJ7sELn+1kJOd0W4Yjl5Rwa/2iYMUg1NZGaeY+KiJb3FUVr34ExBSqs95FhEn/TchfZK3lQkhgx9hga4+5tFoYnUjPJmIkwLprFo4NiJE5YBWNXotUpTZDFDulq7Fh1ZBipe2S4crq3bduGyy+/HOXl5UhOTsaQIUPw+9//Hp2dnVYXzbaQwSL0JnQgS4MJ67CzQ0F6Q5hBvOmZ0pVttL1Cf6hOjYHqlX8CYxGj/A0n+TFuqwsQyoYNG+D3+/Hcc89h6NChWLt2LebNm4eWlhY8+uijVhdPV4xWIgp090fSSdH7yDB9bxcZ0bq9Tgws2BEyhpiDtiJE642p2Xueel5Yj/cOlYPks7Q/wjCUTRhQcp5oGK26Ztoyo7DzxFQsUKTbOqJGuh2uh7QqiU/MWq0UGIvQBIk8XDnds2fPxuzZs4P/rqioQGVlJZ555hnHOd0EYVdCHW2HjyW4RsuEh9WQ3hCE/pDTbR1Up8ZA9co/gbGIYbJykA5wtbxcioaGBuTk5FhdDN0xekbIjBkuu83eSpVX71cwa2bR6/ejprHDlGf1JfQNtbxva6cPB1qt2zrCoOCcbp015LttB/D1pv1oau+K+R4/7KgHIK+7HV0+rNldH/NzDEWB3hjVlNq9Phxosf+WJaNtjVn2vb6tE5v2NpvzMIdD2cutI56zlxu5jYN0lX8C0heDwRh99WHFtjpd72clXDvdmzZtwpNPPolf//rXEa/p6OhAY2Nj2J94JyXBZYqRH5DqMf4hCslPT5K9Jjmh/8KOjOSEmJ+ZnZrY7zOXiopPT4r92R1eP77ZUhvz7wMMkHgHOdwuIeTvsStadUM7KqubZK9LSXSpuq+S6wNicgnS5U9Pcvd8r+rRstz9zlrc8OpqbKttifkef/y4EkC4HKRobu/C/3zyS8zPMZKECPUeSnJCdDnKfR+JhjYvftrdENNveaIwQ97maUGNLdPCLzXNePW7nYbcO9GtvgHnZ/DTr4XiUfAuXX5lDkq069TaW6KbaHWq5wRZgcHtPpS8NGVtQe9+MhSlOm02ereTLA1j0VBCyyUYYMOl7GNgLOL1+QHorw/3vPuzvje0EFOWl99+++14+OGHo16zfv16jBw5Mvjv3bt3Y/bs2TjnnHMwb968iL9buHAh7r33Xt3KahaFGUkYWZSBLp8fbpeAEQVpqG/14pe9zUhPcgedkVSPG62dXRBFwC0wdPlFnHHoQFTVt+ObLbUYUZgevLY0JwXjSrIwqSwHlx9Zjk837AWAMMcmPcmN8txUnDKuGOv2NKKypgmNbV6ketzIS/cgOyURNY3tmDOpFLe/8RNcAkOXz48uv4hBOSnYUdeK4QXpKMpMwu9OGoWHP9qAacPysHLbAfyytwmN7V2oqm9DdkoiDrR2QmAMIwrTUd/mRUaSG4kuAftbOlFV34bCzCRUN7SjJDsZuw604ewJJVi8rgaN7V6UZKdgZ11rWJ0dVJyBxjYvZo7Ix4A0Dz7buBcjCtKxrqoJ86aVY09DG/6zpgr7mrvvP6wgDRMGZeOV73bi4IGZuGByKfIzPPhq035UVjfhqOF5uHHWcLR0dGH55m4H9tBB2chL9+Djn6tx+JABSE50Y8n6GhxUnIHLjyzHWz/sxpZ9LThvUilGFKbj6WWbceKYwmAZS7KTcfLYYnz+yz40tnnDyl+Rl4qt+1sgisD1s4Zh5og8TB0yAMs3d8vxoOIMVNW340BrJ8YMzER1YztOP2Qg3v5hN77ctB8JLgEjC9Oxv6UTGUm9Tbfd68OYgVmYWJaNRz7aAK9PxBnjB+K1lTtRmJmE5ARXcPAZqgsl2cmYP3MoNu9txifrazCyMB3vr6lCc0cXSnNSIIoiDinNxobqxmAkavrwPJw0tggvLd+O/IwkzBqVj399uwNre5yYgwdmoq6lE3vq25CU4EJRZhK27m/B8aMLMW1YLl5buQt76tuwv7kDIwrTAQC5aR6cMX4g/rJ0E7bt73ZG89I9mDYsDy4BuGDyYPzpv5UoyU7Buj0NqG5sx97GjqDu/+booWju8OG/66oxLD8NC04YhUf/W4n1VY1I9bjR0tGFXQfacOKYIjS2e7GvqQNHDs2F2yVgbEkmZozIQ21zJ2pbOiGw7vJcfmQFAODMQ0tQ29yJ/AwPElwCtu5vCdZhgkvAuNJMDMlLw6vf7QzqMwAMK0iDwFhYfVfkpSIhpDdq7fQhKzkhGO1PT0pAU7sXyYku/FLTHLzPVUcNwesrdwXbO9A9iDt5bBF2HWjDln3NKM1JwdrdDejs8iM50YUDrd6gjhxo7cTenlURqR43ThlbhA3VTThmVD52H2jDK9/tRHKiC22dvjB9DbUt504sxeZ9zUh0CyjMTMK3W+qQm+bBQcUZeGXFDmSlJGBqxQDsrm/Dml0NwfZ6oNWLqvo2nDOxBDvq2rCzrhUjC9Nx0dTB2F7Xii9/2Y9UjwuzDy7E6yt3BZ89ZmAmzj9sEHLTPFi+pRYtHV3YWdeK3DQPjhqR16NrGbjsyHJ8/HO33NOTErC+qhEugeGyI8vx4U9V+PKX/UHblegWsGlvc7AOK6ubkJTgQru3+72Ls5JxWHkOVm6rw64DbUh0CxDF3oEE0D1JU5SZhF0H2pDgEpCX7kFOamJQ/wEgMzkBU4cMwJ76dqzZVR+sy401TRBFoGxAatiky5C8NOyoa4XX50dRVjJyUhJwoNWL0pwUlGQnY+W2Omyv7baF5x02CD/tqkdZbiqumTEUV/xjJarq2yLKbc6kUvxS04zvdxxAX9wCw1kTSvDm97vD3vHGY4cHn+X7djsOtHQiIzkBjDFU1behoc2L8w4bhJ93N2B9VSO6/CISXELwHmW5qUj3uDF6YCb+s2YPmtq78OJlh+HrzbV47rPNOGJoLs4YPxBPL9uELftagvLYVtuCDm/3PUqyk5HqcWPLvhZ4fX4MSPPgjhNH4l/f7MC22hbUtXTigsmDUJyZjI9/rsbmfc1o7fThxDFF2F7bgp/3NOL8wwahICMJv5oyGN9tq0NldROKMpNQ1dNGi7OSkZzgQqrHjeuPGRZ8/7tPPggPfbQBP+1qQEOPDT95bDEOtHYiPckNr09EXloidtW3oTgzGV9u2o/slAS0dPjC5PrI2WPx9y+3orK6CSOLMoI6nOASkJ/hQVZyAhravNh1IFx+AJCTmoi6kNUYz/xqAnLTErFuTyNKspNR09iOrzfXIinBFeyf05LcGJiVHHzekLxUbNrbjMrqJowrzcKIgnS8tnInXALD0Pw0pCS6MLwgHWt63nNPfRsOHzIAd518EK785yrsOtCKORNLsa+5E4kuhi0htq80JyVou44YmovXV+5CUoKAofnd/dhPu+rxc09Zdx1oQ26aB8VZyahr6cChg7LR2N491tkt8e59CdXn4qxk5KQmorHNi+zURFw0ZTDe/H4Xals60dLRhVRP79ipKCsZQ3JTUZiZhP9b1W1bAnoa+G9WSgLuOvkgvPXDbgzMSsb+5k54fX58vnEfAAT7jz+dOw4NbV68/cMe/GrKoKBcASDN40ZzRxdGFKYj0SVg9MBMrNvTiLqWDqR63HALDOdOLAUAXDNjCJZs2BvskwLvBwAtHV1gjCE9yY3qhnbUtXQiLcmN5p5VUQOzkzH38DLkpyfhwQ/Wo6axHUVZyf3af+DanJREjB6Yif/+XB3Updw0D2YdVBAsH2MMO+taw+p41kEFOHzIALz9wx5cOb0CO+ta8eHaKmzZ14Lmjt4VWnMmlWJjTRNSEt04rHwAHjprDG5/4yccOSwXHreAXQfaIDCGpnYvclITcVBxJr7dUoutPX386OIMXHx4GV5avh3rqxqRlODCCWMK8dWmWmSlJKCyugk+v4gRhenwuAUcVJyJj9dWB/vLgG4FKMpKRkbP2Dk7JRF3njwKr3y3E3vq27D7QBsq8lJRnJmMAWmJ2FDdhF0H2tDS0YUEl4BpPWX+cG01AGBofho27e3uV4uzknHuxBLc8voa+HtCuelJbiy69DD8e8UOvLFqF+ZMKsWPuxqwoaoRYwZmYn9LJ3JSEnrGvd39ulsQsK22BSXZyUhLSsDJY4qwp6ENn2/chxGF6bhg8iAMSEvEIx9VwuvzY3RxBurbvEhPSkBzuxeTynIwemAm7n9/Hc6eUIKy3FSs2VUPv4igvpw6rhgTB2fjlHHFGJKXhoOKM7CjrhV+UQyOy8aWZGFgVhLWVzWF2avSnBQk9oxPRhalo6m9K9gOAuSmeXDXyQdh095m3PjqahRmJqE0OwXnHVaKl1fsQFN7FxJdAs48tARHDM3Foq+3IaHnvQdmJyPN48b22tZgn1uSnYyGNi+a2ruCdR6Qa1FWMqaU52BdVSMyNASoeIOJJqzd2LdvH2pro0flKioqkJjYHXXbs2cPZsyYgSlTpmDRokUQhMjTJh0dHejo6F1m29jYiNLSUjQ0NCAjI0OfFyAIgiAIgiAIgiCIEBobG5GZmSnre5oS6c7Ly0NeXp6ia3fv3o2ZM2diwoQJeOGFF6I63ADg8Xjg8fC5HIwgCIIgCIIgCIKIb7jKXr57927MmDEDgwcPxqOPPop9+3qXNhQWFkb5JUEQBEEQBEEQBEHwB1dO9+LFi7Fp0yZs2rQJJSUlYd9RBkOCIAiCIAiCIAjCbnCVvXzu3LkQRVHyD0EQBEEQBEEQBEHYDa6cboIgCIIgCIIgCIJwEuR0EwRBEARBEARBEIRBkNNNEARBEARBEARBEAbBVSI1PQjs/25sbLS4JARBEARBEARBEIRTCficcjnIHOd0NzU1AQBKS0stLglBEARBEARBEAThdJqampCZmRnxeyY6LDW43+/Hnj17kJ6eDsaY1cWJSGNjI0pLS7Fz505kZGRYXRwiAiQn/iEZ2QOSE/+QjPiHZGQPSE78QzLiH7vISBRFNDU1obi4GIIQeee24yLdgiD0O+ObZzIyMrhWJKIbkhP/kIzsAcmJf0hG/EMysgckJ/4hGfGPHWQULcIdgBKpEQRBEARBEARBEIRBkNNNEARBEARBEARBEAZBTrdFeDwe/P73v4fH47G6KEQUSE78QzKyByQn/iEZ8Q/JyB6QnPiHZMQ/TpOR4xKpEQRBEARBEARBEAQvUKSbIAiCIAiCIAiCIAyCnG6CIAiCIAiCIAiCMAhyugmCIAiCIAiCIAjCIMjpJgiCIAiCIAiCIAiDIKfbIp566imUlZUhKSkJkydPxooVK6wuUtywcOFCTJo0Cenp6cjPz8fpp5+OysrKsGtmzJgBxljYn6uuuirsmh07duCkk05CSkoK8vPzccstt6Crq8vMV3Es99xzT7/6HzlyZPD79vZ2zJ8/HwMGDEBaWhrOOuss1NTUhN2D5GM8ZWVl/eTEGMP8+fMBUDuygs8//xynnHIKiouLwRjD22+/Hfa9KIq4++67UVRUhOTkZMyaNQu//PJL2DV1dXW48MILkZGRgaysLFx++eVobm4Ou2bNmjWYNm0akpKSUFpaikceecToV3MM0WTk9Xpx2223YcyYMUhNTUVxcTEuvvhi7NmzJ+weUm3voYceCruGZKQNubY0d+7cfjKYPXt22DXUloxFTkZS/RNjDH/84x+D11BbMhYlY269xnTLli3DoYceCo/Hg6FDh2LRokVGv54qyOm2gFdffRU33XQTfv/73+P777/HuHHjcPzxx2Pv3r1WFy0u+OyzzzB//nx88803WLx4MbxeL4477ji0tLSEXTdv3jxUVVUF/4QaWZ/Ph5NOOgmdnZ34+uuv8eKLL2LRokW4++67zX4dxzJ69Oiw+v/yyy+D3914441477338Prrr+Ozzz7Dnj17cOaZZwa/J/mYw3fffRcmo8WLFwMAzjnnnOA11I7MpaWlBePGjcNTTz0l+f0jjzyCJ554As8++yy+/fZbpKam4vjjj0d7e3vwmgsvvBA///wzFi9ejPfffx+ff/45rrzyyuD3jY2NOO644zB48GCsWrUKf/zjH3HPPffgr3/9q+Hv5wSiyai1tRXff/897rrrLnz//fd48803UVlZiVNPPbXftffdd19Y2/rNb34T/I5kpB25tgQAs2fPDpPByy+/HPY9tSVjkZNRqGyqqqrw/PPPgzGGs846K+w6akvGoWTMrceYbuvWrTjppJMwc+ZMrF69GjfccAOuuOIKfPzxx6a+b1REwnQOO+wwcf78+cF/+3w+sbi4WFy4cKGFpYpf9u7dKwIQP/vss+BnRx11lHj99ddH/M0HH3wgCoIgVldXBz975plnxIyMDLGjo8PI4sYFv//978Vx48ZJfldfXy8mJCSIr7/+evCz9evXiwDE5cuXi6JI8rGK66+/XhwyZIjo9/tFUaR2ZDUAxLfeeiv4b7/fLxYWFop//OMfg5/V19eLHo9HfPnll0VRFMV169aJAMTvvvsueM2HH34oMsbE3bt3i6Ioik8//bSYnZ0dJqPbbrtNHDFihMFv5Dz6ykiKFStWiADE7du3Bz8bPHiw+Oc//znib0hG+iIlp0suuUQ87bTTIv6G2pK5KGlLp512mnj00UeHfUZtyVz6jrn1GtPdeuut4ujRo8OeNWfOHPH44483+pUUQ5Fuk+ns7MSqVaswa9as4GeCIGDWrFlYvny5hSWLXxoaGgAAOTk5YZ//61//Qm5uLg4++GAsWLAAra2twe+WL1+OMWPGoKCgIPjZ8ccfj8bGRvz888/mFNzh/PLLLyguLkZFRQUuvPBC7NixAwCwatUqeL3esDY0cuRIDBo0KNiGSD7m09nZiZdeegmXXXYZGGPBz6kd8cPWrVtRXV0d1nYyMzMxefLksLaTlZWFiRMnBq+ZNWsWBEHAt99+G7xm+vTpSExMDF5z/PHHo7KyEgcOHDDpbeKHhoYGMMaQlZUV9vlDDz2EAQMGYPz48fjjH/8YttSSZGQOy5YtQ35+PkaMGIGrr74atbW1we+oLfFFTU0N/vOf/+Dyyy/v9x21JfPoO+bWa0y3fPnysHsEruHJt3JbXYB4Y//+/fD5fGGKAwAFBQXYsGGDRaWKX/x+P2644QYcccQROPjgg4OfX3DBBRg8eDCKi4uxZs0a3HbbbaisrMSbb74JAKiurpaUYeA7QhuTJ0/GokWLMGLECFRVVeHee+/FtGnTsHbtWlRXVyMxMbHfALSgoCBY9yQf83n77bdRX1+PuXPnBj+jdsQXgTqVqvPQtpOfnx/2vdvtRk5OTtg15eXl/e4R+C47O9uQ8scj7e3tuO2223D++ecjIyMj+Pl1112HQw89FDk5Ofj666+xYMECVFVV4bHHHgNAMjKD2bNn48wzz0R5eTk2b96MO+64AyeccAKWL18Ol8tFbYkzXnzxRaSnp4ctWwaoLZmJ1JhbrzFdpGsaGxvR1taG5ORkI15JFeR0E3HN/PnzsXbt2rD9wgDC9lyNGTMGRUVFOOaYY7B582YMGTLE7GLGHSeccELw72PHjsXkyZMxePBgvPbaa1wYTqI/f//733HCCSeguLg4+Bm1I4KIHa/Xi3PPPReiKOKZZ54J++6mm24K/n3s2LFITEzEr3/9ayxcuBAej8fsosYl5513XvDvY8aMwdixYzFkyBAsW7YMxxxzjIUlI6R4/vnnceGFFyIpKSnsc2pL5hFpzB0v0PJyk8nNzYXL5eqXla+mpgaFhYUWlSo+ufbaa/H+++9j6dKlKCkpiXrt5MmTAQCbNm0CABQWFkrKMPAdoS9ZWVkYPnw4Nm3ahMLCQnR2dqK+vj7smtA2RPIxl+3bt+OTTz7BFVdcEfU6akfWEqjTaP1PYWFhv6SeXV1dqKuro/ZlIgGHe/v27Vi8eHFYlFuKyZMno6urC9u2bQNAMrKCiooK5Obmhtk3akt88MUXX6CyslK2jwKoLRlFpDG3XmO6SNdkZGRwE6whp9tkEhMTMWHCBCxZsiT4md/vx5IlSzB16lQLSxY/iKKIa6+9Fm+99RY+/fTTfsuGpFi9ejUAoKioCAAwdepU/PTTT2EdamBgdNBBBxlS7nimubkZmzdvRlFRESZMmICEhISwNlRZWYkdO3YE2xDJx1xeeOEF5Ofn46STTop6HbUjaykvL0dhYWFY22lsbMS3334b1nbq6+uxatWq4DWffvop/H5/cNJk6tSp+Pzzz+H1eoPXLF68GCNGjKClljoQcLh/+eUXfPLJJxgwYIDsb1avXg1BEILLmUlG5rNr1y7U1taG2TdqS3zw97//HRMmTMC4ceNkr6W2pC9yY269xnRTp04Nu0fgGq58K4sTucUlr7zyiujxeMRFixaJ69atE6+88koxKysrLCsfYRxXX321mJmZKS5btkysqqoK/mltbRVFURQ3bdok3nfffeLKlSvFrVu3iu+8845YUVEhTp8+PXiPrq4u8eCDDxaPO+44cfXq1eJHH30k5uXliQsWLLDqtRzFzTffLC5btkzcunWr+NVXX4mzZs0Sc3Nzxb1794qiKIpXXXWVOGjQIPHTTz8VV65cKU6dOlWcOnVq8PckH/Pw+XzioEGDxNtuuy3sc2pH1tDU1CT+8MMP4g8//CACEB977DHxhx9+CGa+fuihh8SsrCzxnXfeEdesWSOedtppYnl5udjW1ha8x+zZs8Xx48eL3377rfjll1+Kw4YNE88///zg9/X19WJBQYF40UUXiWvXrhVfeeUVMSUlRXzuuedMf187Ek1GnZ2d4qmnniqWlJSIq1evDuujAll6v/76a/HPf/6zuHr1anHz5s3iSy+9JObl5YkXX3xx8BkkI+1Ek1NTU5P429/+Vly+fLm4detW8ZNPPhEPPfRQcdiwYWJ7e3vwHtSWjEXO3omiKDY0NIgpKSniM8880+/31JaMR27MLYr6jOm2bNkipqSkiLfccou4fv168amnnhJdLpf40Ucfmfq+0SCn2yKefPJJcdCgQWJiYqJ42GGHid98843VRYobAEj+eeGFF0RRFMUdO3aI06dPF3NyckSPxyMOHTpUvOWWW8SGhoaw+2zbtk084YQTxOTkZDE3N1e8+eabRa/Xa8EbOY85c+aIRUVFYmJiojhw4EBxzpw54qZNm4Lft7W1iddcc42YnZ0tpqSkiGeccYZYVVUVdg+Sjzl8/PHHIgCxsrIy7HNqR9awdOlSSft2ySWXiKLYfWzYXXfdJRYUFIgej0c85phj+smutrZWPP/888W0tDQxIyNDvPTSS8Wmpqawa3788UfxyCOPFD0ejzhw4EDxoYceMusVbU80GW3dujViH7V06VJRFEVx1apV4uTJk8XMzEwxKSlJHDVqlPjggw+GOXuiSDLSSjQ5tba2iscdd5yYl5cnJiQkiIMHDxbnzZvXL3hCbclY5OydKIric889JyYnJ4v19fX9fk9tyXjkxtyiqN+YbunSpeIhhxwiJiYmihUVFWHP4AEmiqJoUBCdIAiCIAiCIAiCIOIa2tNNEARBEARBEARBEAZBTjdBEARBEARBEARBGAQ53QRBEARBEARBEARhEOR0EwRBEARBEARBEIRBkNNNEARBEARBEARBEAZBTjdBEARBEARBEARBGAQ53QRBEARBEARBEARhEOR0EwRBEARBEARBEIRBkNNNEARBEARBEARBEAZBTjdBEARBEARBEARBGAQ53QRBEARBEARBEARhEOR0EwRBEARBEARBEIRB/D8nBpb+iZ3gLAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting sources and mixed signals\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.title(\"Original Sources\")\n",
    "plt.plot(S1, label='Source 1', alpha=0.7)\n",
    "plt.plot(S2, label='Source 2', alpha=0.7)\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.title(\"Mixed Signals\")\n",
    "plt.plot(X[0, :], label='Mixed Signal 1', alpha=0.9)\n",
    "plt.plot(X[1, :], label='Mixed Signal 2', alpha=0.9)\n",
    "plt.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df1c2f6e",
   "metadata": {},
   "source": [
    "### Validating W1 and W2 from class above versus from `scipy.stats.wasserstin_distance` and `ot.emd2`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "60bc4c39",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Direct computation W1: 0.535243\n",
      "Direct computation W2: 0.635383\n",
      "Your class W1: 0.535243\n",
      "Your class W2: 0.403712\n",
      "Your class W2 (Root):  0.635383\n",
      "Match: True\n",
      "\n",
      "SciPy W1 (vs theoretical normal): 0.535243\n",
      "POT W2 (vs theoretical normal): 0.635383\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import wasserstein_distance\n",
    "import ot\n",
    "\n",
    "# Compute distances using your class\n",
    "ica = WassersteinICA(X_torch)\n",
    "ica.whiten()\n",
    "w1, dist1 = ica.optimize_wasserstein2(grid_points=100000, continuous=False)\n",
    "\n",
    "proj_w1 = torch.mv(ica.X_white.t(), w1)\n",
    "proj_np = proj_w1.detach().numpy()\n",
    "\n",
    "# For fair comparison, generate theoretical normal quantiles at same positions\n",
    "n = len(proj_np)\n",
    "q_levels = np.linspace(0.5/n, 1 - 0.5/n, n)\n",
    "theoretical_normal = scipy.stats.norm.ppf(q_levels)\n",
    "\n",
    "# Direct comparison with sorted samples\n",
    "sorted_proj = np.sort(proj_np)\n",
    "W2_direct_squared = np.mean((sorted_proj - theoretical_normal) ** 2)\n",
    "W2_direct = np.sqrt(W2_direct_squared)\n",
    "W1_direct = np.mean(np.abs(sorted_proj - theoretical_normal))\n",
    "\n",
    "print(f\"Direct computation W1: {W1_direct:.6f}\")\n",
    "print(f\"Direct computation W2: {W2_direct:.6f}\")\n",
    "print(f\"Your class W1: {ica.wasserstein1_distance(w1):.6f}\")\n",
    "print(f\"Your class W2: {dist1:.6f}\")\n",
    "print(f\"Your class W2 (Root):  {np.sqrt(dist1):.6f}\")\n",
    "print(f\"Match: {np.isclose(W2_direct_squared, dist1, rtol=1e-4)}\")\n",
    "\n",
    "# SciPy with theoretical samples\n",
    "w1_scipy_theoretical = wasserstein_distance(proj_np, theoretical_normal)\n",
    "print(f\"\\nSciPy W1 (vs theoretical normal): {w1_scipy_theoretical:.6f}\")\n",
    "\n",
    "# POT with theoretical samples\n",
    "x = proj_np.reshape(-1, 1)\n",
    "y = theoretical_normal.reshape(-1, 1)\n",
    "a = np.ones(len(x)) / len(x)\n",
    "b = np.ones(len(y)) / len(y)\n",
    "M = ot.dist(x, y, metric='euclidean') ** 2\n",
    "W2_squared_pot = ot.emd2(a, b, M)\n",
    "W2_pot = np.sqrt(W2_squared_pot)\n",
    "print(f\"POT W2 (vs theoretical normal): {W2_pot:.6f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a111d6c3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Whitened covariance (should be identity):\n",
      "[[9.9995935e-01 4.0551434e-08]\n",
      " [4.0551434e-08 9.9999827e-01]]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# whitening and validation\n",
    "\n",
    "ica = WassersteinICA(X_torch)\n",
    "ica.whiten()\n",
    "\n",
    "# Verify whitening\n",
    "cov_white = torch.matmul(ica.X_white, ica.X_white.t()) / (ica.n - 1)\n",
    "print(\"Whitened covariance (should be identity):\")\n",
    "print(cov_white.numpy())\n",
    "print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a88e6ae0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing Wasserstein distances across all angles...\n"
     ]
    }
   ],
   "source": [
    "# W1 vs W2 across all angles\n",
    "\n",
    "n_grid = 1000\n",
    "thetas = torch.linspace(0, 2*np.pi, steps=n_grid)\n",
    "ws = torch.stack([torch.cos(thetas), torch.sin(thetas)], dim=1)\n",
    "\n",
    "w1_distances = []\n",
    "w2_distances = []\n",
    "\n",
    "print(\"Computing Wasserstein distances across all angles...\")\n",
    "for w in ws:\n",
    "    w_norm = w / torch.norm(w)\n",
    "    w1_distances.append(ica.wasserstein1_distance(w_norm).item())\n",
    "    w2_distances.append(ica.wasserstein2_distance(w_norm).item())\n",
    "\n",
    "w1_distances = np.array(w1_distances)\n",
    "w2_distances = np.array(w2_distances)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f4482cc2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "============================================================\n",
      "WASSERSTEIN-1 DISTANCE ANALYSIS\n",
      "============================================================\n",
      "θ = 0°   (0 rad):      W1 = 0.5263\n",
      "θ = 90°  (π/2 rad):    W1 = 0.5348\n",
      "θ = 180° (π rad):      W1 = 0.5243\n",
      "θ = 270° (3π/2 rad):   W1 = 0.5337\n",
      "Maximum W1:            W1 = 0.5348 at θ = 1.572 rad (90.1°)\n",
      "Minimum W1:            W1 = 0.2891 at θ = 2.616 rad (149.9°)\n",
      "\n",
      "============================================================\n",
      "WASSERSTEIN-2 DISTANCE ANALYSIS\n",
      "============================================================\n",
      "θ = 0°   (0 rad):      W2² = 0.3905\n",
      "θ = 90°  (π/2 rad):    W2² = 0.4031\n",
      "θ = 180° (π rad):      W2² = 0.3876\n",
      "θ = 270° (3π/2 rad):   W2² = 0.4014\n",
      "Maximum W2:           W2² = 0.4031 at θ = 1.572 rad (90.1°)\n",
      "Minimum W2:           W2² = 0.1426 at θ = 5.761 rad (330.1°)\n",
      "\n",
      "============================================================\n",
      "CONCLUSION\n",
      "============================================================\n",
      "Expected: Independent components recovered at θ = 0° and θ = 90°\n",
      "W2 is maximized near these angles: True\n",
      "W1 is inconsistent (not maximized at 0° or 90°): False\n"
     ]
    }
   ],
   "source": [
    "# Find indices for key angles\n",
    "theta_0_idx = 0\n",
    "theta_pi2_idx = (np.abs(thetas.numpy() - np.pi/2)).argmin()\n",
    "theta_pi_idx = (np.abs(thetas.numpy() - np.pi)).argmin()\n",
    "theta_3pi2_idx = (np.abs(thetas.numpy() - 3*np.pi/2)).argmin()\n",
    "\n",
    "print(\"\\n\" + \"=\"*60)\n",
    "print(\"WASSERSTEIN-1 DISTANCE ANALYSIS\")\n",
    "print(\"=\"*60)\n",
    "print(f\"θ = 0°   (0 rad):      W1 = {w1_distances[theta_0_idx]:.4f}\")\n",
    "print(f\"θ = 90°  (π/2 rad):    W1 = {w1_distances[theta_pi2_idx]:.4f}\")\n",
    "print(f\"θ = 180° (π rad):      W1 = {w1_distances[theta_pi_idx]:.4f}\")\n",
    "print(f\"θ = 270° (3π/2 rad):   W1 = {w1_distances[theta_3pi2_idx]:.4f}\")\n",
    "print(f\"Maximum W1:            W1 = {w1_distances.max():.4f} at θ = {thetas[w1_distances.argmax()].item():.3f} rad ({np.degrees(thetas[w1_distances.argmax()].item()):.1f}°)\")\n",
    "print(f\"Minimum W1:            W1 = {w1_distances.min():.4f} at θ = {thetas[w1_distances.argmin()].item():.3f} rad ({np.degrees(thetas[w1_distances.argmin()].item()):.1f}°)\")\n",
    "\n",
    "print(\"\\n\" + \"=\"*60)\n",
    "print(\"WASSERSTEIN-2 DISTANCE ANALYSIS\")\n",
    "print(\"=\"*60)\n",
    "print(f\"θ = 0°   (0 rad):      W2² = {w2_distances[theta_0_idx]:.4f}\")\n",
    "print(f\"θ = 90°  (π/2 rad):    W2² = {w2_distances[theta_pi2_idx]:.4f}\")\n",
    "print(f\"θ = 180° (π rad):      W2² = {w2_distances[theta_pi_idx]:.4f}\")\n",
    "print(f\"θ = 270° (3π/2 rad):   W2² = {w2_distances[theta_3pi2_idx]:.4f}\")\n",
    "print(f\"Maximum W2:           W2² = {w2_distances.max():.4f} at θ = {thetas[w2_distances.argmax()].item():.3f} rad ({np.degrees(thetas[w2_distances.argmax()].item()):.1f}°)\")\n",
    "print(f\"Minimum W2:           W2² = {w2_distances.min():.4f} at θ = {thetas[w2_distances.argmin()].item():.3f} rad ({np.degrees(thetas[w2_distances.argmin()].item()):.1f}°)\")\n",
    "\n",
    "print(\"\\n\" + \"=\"*60)\n",
    "print(\"CONCLUSION\")\n",
    "print(\"=\"*60)\n",
    "print(\"Expected: Independent components recovered at θ = 0° and θ = 90°\")\n",
    "print(f\"W2 is maximized near these angles: {w2_distances[theta_0_idx] > w2_distances.mean() or w2_distances[theta_pi2_idx] > w2_distances.mean()}\")\n",
    "print(f\"W1 is inconsistent (not maximized at 0° or 90°): {w1_distances[theta_0_idx] < w1_distances.max() * 0.95 and w1_distances[theta_pi2_idx] < w1_distances.max() * 0.95}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "38ea2dd7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# PC1 Angle Calculation\n",
    "# We recalculate the angle of the First Principal Component in the original space\n",
    "# to understand how much the data was rotated during whitening.\n",
    "\n",
    "# Center data\n",
    "X_centered = X_torch - torch.mean(X_torch, dim=1, keepdim=True)\n",
    "cov_X = torch.matmul(X_centered, X_centered.t()) / (X_torch.shape[1] - 1)\n",
    "\n",
    "# Eigendecomposition\n",
    "D, E = torch.linalg.eigh(cov_X)\n",
    "\n",
    "# Last column is PC1 (Max Variance)\n",
    "pc1_vector = E[:, -1] \n",
    "pc1_angle_rad = torch.atan2(pc1_vector[1], pc1_vector[0]).item()\n",
    "pc1_angle_deg = np.degrees(pc1_angle_rad)\n",
    "\n",
    "# Normalize angle to -90 to 90 range for readability\n",
    "if pc1_angle_deg > 90: pc1_angle_deg -= 180\n",
    "if pc1_angle_deg < -90: pc1_angle_deg += 180\n",
    "\n",
    "# Dynamic Peak Detection\n",
    "# Instead of hardcoding lines, we find the actual peaks in W2 distance\n",
    "# We assume thetas covers 0 to 2*pi. We look for peaks in the first half (0 to pi).\n",
    "\n",
    "# Convert to numpy for easier handling\n",
    "w2_np = np.array(w2_distances)\n",
    "thetas_np = thetas.cpu().numpy()\n",
    "\n",
    "# Split search into quadrants to find the two distinct orthogonal sources\n",
    "# Assuming sources are roughly 90 degrees apart)\n",
    "n_points = len(w2_np)\n",
    "quarter_idx = n_points // 4\n",
    "half_idx = n_points // 2\n",
    "\n",
    "# Find Peak 1 (roughly in 0-90 range)\n",
    "peak1_idx = np.argmax(w2_np[:quarter_idx])\n",
    "theta_peak1 = thetas_np[peak1_idx]\n",
    "val_peak1 = w2_np[peak1_idx]\n",
    "\n",
    "# Find Peak 2 (roughly in 90-180 range)\n",
    "# We search the second quarter\n",
    "peak2_idx = np.argmax(w2_np[quarter_idx:half_idx]) + quarter_idx\n",
    "theta_peak2 = thetas_np[peak2_idx]\n",
    "val_peak2 = w2_np[peak2_idx]\n",
    "\n",
    "# Plotting\n",
    "plt.figure(figsize=(12, 6))\n",
    "\n",
    "# Plot Curves\n",
    "plt.plot(thetas_np, w1_distances, label=\"Wasserstein-1 (MAE)\", color='tab:blue', alpha=0.6, ls='--', linewidth=2)\n",
    "plt.plot(thetas_np, w2_distances, label=\"Squared Wasserstein-2 (MSE)\", color='tab:orange', linewidth=2.5)\n",
    "\n",
    "# ANNOTATION 1: PC1 Line\n",
    "# In the whitened space, PC1 is always at theta=0 (The Valley)\n",
    "plt.axvline(0, color='black', linestyle=':', alpha=0.8, linewidth=2)\n",
    "plt.text(0.1, max(np.max(w2_distances), np.max(w1_distances)) * 0.95, \n",
    "         f\"PC1 (Max Variance)\\nGlobal Angle: {pc1_angle_deg:.1f}°\", \n",
    "         rotation=0, color='black', fontweight='bold',\n",
    "         bbox=dict(facecolor='white', alpha=0.8, edgecolor='none'))\n",
    "\n",
    "# ANNOTATION 2: Recovered Sources\n",
    "# Source 1\n",
    "deg_peak1 = np.degrees(theta_peak1)\n",
    "plt.plot(theta_peak1, val_peak1, 'ro', markersize=8)\n",
    "plt.annotate(f'Source 1\\n(+{deg_peak1:.1f}°)', \n",
    "             xy=(theta_peak1, val_peak1), \n",
    "             xytext=(theta_peak1, val_peak1 + 0.05),\n",
    "             arrowprops=dict(facecolor='black', shrink=0.05, width=1.5, headwidth=8),\n",
    "             ha='center', fontsize=10, fontweight='bold')\n",
    "\n",
    "# Source 2\n",
    "deg_peak2 = np.degrees(theta_peak2)\n",
    "plt.plot(theta_peak2, val_peak2, 'ro', markersize=8)\n",
    "plt.annotate(f'Source 2\\n(+{deg_peak2:.1f}°)', \n",
    "             xy=(theta_peak2, val_peak2), \n",
    "             xytext=(theta_peak2, val_peak2 + 0.05),\n",
    "             arrowprops=dict(facecolor='black', shrink=0.05, width=1.5, headwidth=8),\n",
    "             ha='center', fontsize=10, fontweight='bold')\n",
    "\n",
    "# Also mark the inverse peaks (180 degrees later) just for visual completeness\n",
    "plt.axvline(theta_peak1 + np.pi, color='red', ls=':', alpha=0.3)\n",
    "plt.axvline(theta_peak2 + np.pi, color='red', ls=':', alpha=0.3)\n",
    "\n",
    "# Formatting\n",
    "xticks = [0, np.pi/4, np.pi/2, 3*np.pi/4, np.pi, 5*np.pi/4, 3*np.pi/2, 7*np.pi/4, 2*np.pi]\n",
    "xticklabels = [\"0°\", \"45°\", \"90°\", \"135°\", \"180°\", \"225°\", \"270°\", \"315°\", \"360°\"]\n",
    "\n",
    "plt.xticks(xticks, xticklabels, fontsize=10)\n",
    "plt.xlabel(r'Rotation Angle $\\theta$ (relative to PC1 axis)', fontsize=12)\n",
    "plt.ylabel(\"Squared Wasserstein Distance\", fontsize=12)\n",
    "plt.title(f\"Discrete Bernoulli ICA\\n(PC1 found at {pc1_angle_deg:.1f}° in original space)\", fontsize=14, fontweight='bold')\n",
    "plt.legend(loc='upper right', fontsize=11)\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c48b6f5a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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