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@steven-tey
Last active October 17, 2019 16:44
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CS166 Session 6.2 Pre-Class Work
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{
"cells": [
{
"cell_type": "code",
"execution_count": 110,
"metadata": {},
"outputs": [],
"source": [
"interactive = False\n",
"\n",
"import matplotlib\n",
"if interactive:\n",
" matplotlib.use('TkAgg')\n",
"\n",
"import random as rd\n",
"from pylab import *\n",
"import networkx as nx\n",
"import random as rd\n",
"\n",
"def initialize():\n",
" global g, timestep\n",
" timestep = 0\n",
" g = nx.karate_club_graph()\n",
" g.pos = nx.spring_layout(g)\n",
" for i in g.nodes:\n",
" g.nodes[i]['state'] = 1 if random() < .5 else 0\n",
"\n",
"def observe():\n",
" global g\n",
" cla()\n",
" title(f't = {str(timestep)}')\n",
" nx.draw(g, vmin = 0, vmax = 1,\n",
" node_color = [g.nodes[i]['state'] for i in g.nodes],\n",
" pos = g.pos)\n",
" a = sum([g.nodes[i]['state'] for i in g.nodes]) # number of nodes that's the first color\n",
" b = 33 - a # number of nodes that's the seconod color\n",
" return(a, b, timesteps) # returns the number of nodes for each color\n",
"\n",
"def update():\n",
" global g, timestep\n",
" timestep += 1\n",
" #print(f\"number of nodes is {g.nodes}\")\n",
" listener = rd.choice(list(g.nodes))\n",
" speaker = rd.choice(list(g.neighbors(listener)))\n",
" g.nodes[listener]['state'] = g.nodes[speaker]['state']\n",
" #print(f\"number of listener nodes is {listener}\")\n",
" #print(f\"number of speaker nodes is {speaker}\")"
]
},
{
"cell_type": "code",
"execution_count": 111,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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UqVkKgKhn0YSHXCL6eVJxSKfcOajStALOeZxSHSMhIYEhQ4awf/9+goODqVLFcmkV/w3IE2kSi3Dp6FXG+ExBG6/FoE9711plr8KjfhnGbx1lcsq86BcxfPvRRO79+TDdo7EqO1vyuuVhZsgP5C7oYtI8AH369KFKlSr06dPH5L6WYnfAPhYMWmFy3Kydo5p5J37MsOieO3eO3r17Y29vz5IlSyhbtixn911g3KfTM3wEWSiNOBV24Pfry7kVfpeNs7ZzcscZrG2tkn4nBFjZKDEkGqjtU50Owz+hbK1Sb6xgb968SYcOHShdujQBAQE4OaUuzv9VpE9XkmmunbrJt96TiY/WpCu4ANp4LZeOXGVMqx9N2izSxGoY0sCfO5fuZUgItBodj25FMqD2t8krLVN41ytdgGo+FXhsdxcrm4zbYVQYGLWuf4YENzY2luHDh+Pt7U2/fv04ePAgZcuWTZq7eSVmhnxPznzO2OVI/WnBRmWNjcoGzw71uGh9gr6ewxjVfDxHt4SSqE1EE5OATqNDl6BL+j4hkaNbQhnZbDw/dp2LPjFpw27Tpk3Uq1ePXr16sX79+vdScEGudCWZJCFeSxfXr4l5aXogvMrels8GtaLnj10z1P6HtjM4FXTO5FWfta01ZWuVYvbhiSb169WrF3Xq1KFXr14m9bMUr169wtPTk3bt2tGgdBMWDl6J7v9F7J8orZTYqKwpVLIA6upGLt09z549e7CxST0X7M6dO+nfvz+enp7MmjWLvHnzptjOYDBwKjCc9dO3ce3UzaRqEQowGoxYWVvRuu9HtO7rRe5CLgzxHMvl49ewymCcr8relnJ1SqMp84zdgbvZsGEDNWrUyNgb9B9F+nQlmeLg+uPoE80LbdLG6/jj5yA+H9cBW7Vtmm2f3n9uluBCUvjS9TO3uXPpHsUruGW437tc6cbHx+Pj40Pjxo3x9/dHoVDg6VsvSfymbeNq6A2EEAijwFZtQ4N2dWg/zIdSVYpjMBho06YNQ4YMYcGCBW+N/fDhQwYPHkx4eDgrVqygWbNmadpiZWVFHZ/q1PGpTtSzaF5GRqFL0OGY04F8bnmwtkmSkZ8HLedO+F8ZFlxI+h04d+AiNreT0jJmRX6GfxtSdCWZYv30bWaXu3nN4U0nad6tUZptti8MIjMPZXqdni1zdjI8oF+G+7wr0dXpdLRv354SJUowe/bsZJ/n38UPQKvRYmVtlSx6r7GysmLdunXUqVOHxYsXJ/ukDQYDixYtYpr/TNp89Bnzx/bFQePMozuRGa5065zHKcVNsKhn0exett+szGQKoUTx2AYS34/ohPSQoisxm1vn7/Ls/vNMjaGJTWDz7J1piq4Qgh2L9maqZLrRYCTkt2MMmN8zwyka34XoGgwGunfvjrW1NcuXL09z/rTuw8nJie3bt1O/fn3Kli2Lg9qRoV1GoXrsTCVFPf7a84KFQStRKpUkahMpXa0EvqPaUPvjamZFlexetg9FZmJ7FQp2B+yny+i2Zo/xX0FupEnM5tHtSIscV42MeJrm9fjoeLQa82JV/45SqeDF44wnc8lu0RVCMHDgQB49esT69evT9MdmhFKlSrF8+XI6eXdlVL1JOD7KhzLBGp0mkfjoeDQxCcRFxaNLSOTy8WtM/XwefmUG8+Re2v8f/8RoNLJl7i50mfg/0ml0bJm9E2MW5Gv4tyFFV2I2mtiETOV7fY0uIe0/1viYBKysM5+ARWmlJD5ak+H22S26/v7+hIaGsn37dovkhd29ezejen1HBX0drLHBoE3b966JSSAy4il9qo3i0e3IDM8T8yKWuKiMv6+pzh+bQNQz06NM/mtI0ZWYjX0OOxQWEKX0HvftHNUWyUNgNBixz5FxMctO0Z09ezYbN24kMDAw06FSjx49wtfXl+F9RlIs2gOF0YRwM4ORuFdxDGs8jviYjAlp7Ks4rG0y/6FoZW1FnIk12f6LSNGVmI1bucIYEs33s76mSJmCaV63d7KzSBlso8GIS4GM745nl+iuWrWKOXPmEBwcTL58+cwex2g0smjRIipVqkTp0qXpXMcPg870DyujURDzIo7gNQcz1F6n1yXH2mYGo1Fga5d2FMv7gNxIk5iNa5nCuJYrzM2zd8wewy6Hmg7DP0mzjVKppFXv5mybH2h25qvXyV9MOQGXHZUjtm3bxujRozlw4ABubhkPZ/snFy9epHfv3iiVSg4ePIhrQTc6F/narMKSkHSAZcOM7XzSzzv5PRBCEBERwfnz5zl//jzh4eGcP3+eyEdPqKPzMitPw98x6A0458l8kpx/O3KlK8kUnUZ9muZppfRQKBXUbZ1+MHxmM1/ZqKxpN9S05C9ZXTkiJCSE3r17s3PnzuRTYKYSHx/Pt99+S7NmzfDz8+PIkSN4eHgQtOJApqIJAF49jWLKqBkMHDiQRo0a4eLiQv369VmyZAkajQZfX19WrFjB9+PHkegUj8B8/75CoaBWy6rZXvzzXSBFV5Ip6n1aE3sne7NWhEobJTcSL7Jk6ZJ0d63zF81L1WYVsVGZ/nBmZWNF8QpulKpS3KR+WeleOHXqFB07dmTDhg1Ur25emfSgoCAqVKjAvXv3uHDhQvJKF+D0nnCzs5O9RqvRcXr/OYoVK8b333/PjRs3ePDgAb/99hvu7u4EBATw2WefcfXqVfx+6GJ2YiFIOplmicxk/wWk6EoyhY2tDTP3f49dDrVJNb1U9rbUb1OLzafW8csvv9C0aVNu3ryZZp/RvwwiT+HcWJmwaaO0UuKUOwcTtn+bceP+n6wS3atXr9K6dWsCAgJo3Lixyf0fP35M586d6devHwsXLmTdunUUKFDgjTYxL2IzbacCBS0aezF8+HAaNGjA0aNHad++PW5ubmzfvp0+ffrw4MEDVqxYQfdBXcldyMWsum4KBeQq4IJHffNW+/81pOhKMk0R90LMPTYZpzxO2KrT3/BSO6jw7FCPMeuGUK5cOY4cOUKbNm2oU6cOc+bMwWBIefPHwdmBuccnU8S9ENa26QuvUWHEIbcdP5/8EZd8zibfV1aIbkREBF5eXkyfPp02bdqYbM+SJUuoWLEixYoV49KlS3h7e6fY1pwngpR4HPmIr776ikKFCjFv3jy8vb25e/cuW7dupX379smhbQqFgvHbvkHtaPpqV+2gZsL2b96bfLnpIUVXYhGKebiy4socuo5th3OeHG/5eRVKBbZqGyp5lmfs+mGMWNEvOfbWysqKoUOHcvLkSbZu3UqjRo34888/U5zHJZ8z805M5lXuxzjkssMuhT9yO0c1znmdaNazPmHsx8rBvF9zS4vukydPaNGiBcOHD+eLL74wqe+lS5do2LAhq1atIiQkhClTpmBvn3plibxFcmfWXIwY2HtoD+7u7pw/f54DBw7Qq1cvXFxSTpNZtFwRpgePw8HZPkP+ZIVSgb2TPdOCx1G0XJFM2/tfQUYvSCyGU+4cdPmuHR2/+ZRTgeFcOnqVl5FR3Lh9nZfxz5m3YVaaZ/xLlSrFgQMHWLx4MQ0bNmTEiBEMHz4ca+s3f023/rEF3LRsObaK8AOXObzxOM8fvUQYBS4FctLg01rU8K6ClZUVTx3+YuDAgaxbt87k+7Gk6EZFReHl5UWnTp0YPHhwhvtpNBomTpzIsmXLmDhx4ht+27T4qEcTTuw8TWKC+aFctra2rA/bQp5CuTLcp2yt0iw6M51Fw1Zxes95FAreSlJkq7ZBCKjhVZk+s7pTqGSBVEZ7P5GpHSVZzr59+5g0aRIHDx7McJ+7d+/y1Vdf8erVK1auXJlcG0ur1VK2bFlWr15No0ZpJ8mBpN39KlWqMG3aND777DOT7Pby8mLYsGF4eXmZ1O+faDQavLy8qFSpEvPnz8/wY/TevXvp27cvNWrUYM6cORQsmHY8MyTd75o1a5g7Zy6FbpdFqTdvXaVQQM2WVZm88zuz+gO8jHzFrqXBHPj9GLGv4gFwzGlP44718fm6BS753/+MYikhV7qSLKd06dLcuHHDpD7FihVj7969LF++nCZNmjBo0CC+/fZblixZgoeHR4YEF8De3p6VK1fSoUMHGjZsSJ48eTJsgyVWuomJifj6+uLq6sq8efMyJLiRkZEMGzaM48ePs2DBAlq1apVun/v377NgwQICAgKoX78+i5csJvJUFGt+MK/GmspOhe9I03zO/8Qlf066+Xegm3+HTI3zviF9upIsx9XVlRcvXhAXZ9oRT4VCQa9evTh37hwnT56kWrVqjB8/nilTppg0Tv369encuTMDBw40qV9mRddoNOLn54cQglWrVqU7ltFoJCAggIoVK1KkSBEuXbqUruCGhYXRpUsXKlWqRHx8PCdPnmTbtm14enry2aCWFK9YFGtb09ZWKnsVLbp7UtnTw6R+kowhRVeS5SiVSkqUKJFuSFhqFClShJ07d1KyZEni4uJYv349Wq1pBRMnTZrE2bNn2bx5c4b7ZEZ0hRAMGTKEiIgINmzYkG7GsCtXruDp6UlAQADBwcFMmzYNBweHFNvq9Xo2btxIvXr16NixIzVr1uTOnTvMnTuXkiVLJs9/6vQpEj1eEm14iVBkLHuXyl5Fg7a16D/vS9NuWJJhpOhKsgVzXAx/58mTJxw5coTDhw9z+fJlqlWrRlhYWIb729nZsXLlSgYMGMDTpxlLXZgZ0R0/fjxHjhxhx44daUYZaDQa/P398fT0pHPnzhw7dozKlSun2PbVq1fMmDGDkiVLMn/+fEaMGMGNGzcYOnQozs5JIXFXrlxh7NixlCxZkp49e1KkWGFWXJjHZ/1bobJXoXZI+cSXXQ41Trkd+XJyJ75ZPdDsSs2SDCAkkmxgxIgR4scffzS7f//+/cWQIUOEEEIYjUbx+++/i/z584uRI0eK+Ph4k+zw9fXNUNsGDRqIw4cPm2zr3LlzRenSpcXjx4/TbBccHCxKlSol2rdvLx48eJBqu+vXr4v+/fsLFxcX0a1bN3H69Ok3rt+/f1/MmDFDVKlSRRQqVEgMHz5cnD17VhiNxjfaxcdqxK5l+0TPCkNEm5xfiFZ2ncVnuXuIwQ3GiGPbwoQ+UW/yvUpMR4quJFtYsmSJ8PPzM6vvjRs3RO7cucXTp0/feP3JkyeiY8eOwt3dXRw9ejRDY8XHx4syZcqIDRs2pNu2Xr16GR73NWvWrBFFihQRd+7cSbXNkydPRLdu3UTRokXFjh07UmxjNBrFvn37hI+Pj8ibN68YM2bMG8L88uVLsWzZMtG4cWPh4uIievbsKUJCQoReL4Xz344UXUm2cODAAdGgQQOz+nbq1ElMnDgx1etbtmwRBQsWFIMHDxaxsbHpjnfixAmRP39+ERkZmWa7OnXqiOPHj2fYzu3bt4v8+fOLy5cvp3jdaDSK5cuXi3z58onhw4eLmJiYt9poNBqxfPlyUbFiRVG+fHmxdOnS5JW8RqMRmzZtEp999plwcnISbdu2FZs3bxYajSbDNkrePVJ0JdnC/fv3Rf78+U3ud/r0aVGwYMF0xfT58+fi888/FyVKlBAhISHpjjtq1CjRvn37NNvUqlVLnDx5MkN2Hjx4UOTJk0eEhoameP3KlSuiUaNGombNmuLs2bNvXX/06JEYN26cyJcvn2jZsqXYs2ePMBqNQq/Xi3379gk/Pz/h4uIimjZtKpYvXy5evnyZIbsk/z6k6EqyBaPRKOzt7UVUVJRJ/Vq0aCEWLlyY4fY7d+4URYoUEX369BHR0dGpttNoNKJcuXJi/fr1qbapUaOGCAsLS3fOM2fOiLx584p9+/alOM+4ceNE7ty5xbx58956/D937pz44osvRM6cOUWfPn3E1atXhdFoFKdPnxZDhw4VBQsWFNWqVROzZs0S9+/fT9cWyb8fKbqSbKNSpUpvbQKlxeuNJp1OZ9I8L1++FD179hRubm4iKCgo1XahoaEif/78qW54VatWLV17//zzT1GgQAGxZcuWt66FhIQId3d30bZtW/HXX38lv67X68W2bduEp6enKFy4sJgyZYp4/vy5uHnzppgwYYIoU6aMKFGihBg7dqy4cuVKBu9a8l9Biq4k22jXrp347bffMtTWYDCI6tWrp7kSTY+9e/eKokWLii+//DLVx/FvvvlGtG3b9hACUecAACAASURBVK2dfiGEqFKlijhz5kyq49+7d0+4ubmJ5cuXv/H606dPRffu3YWbm5v4448/kl+Pjo4Wc+fOFSVLlhS1atUSv/32m7h//76YN2+eqF27tsiXL58YMGCAOHHiRIr2SN4PpOhKso1vv/1WTJgwIUNtf//9d1GjRg1hMBgyNWd0dLTo16+fKFy4cIqRAhqNRpQvX1789ttvwmg0isvH/xTjO8wU3Ur0E02tPxXtC34phjbyF4c3nRCJusTkfk+ePBFly5YVM2fOTH7NaDSKlStXinz58omhQ4cmb5Tdvn1bDB06VOTKlUv4+vqK4OBgsXr1auHt7S2cnZ1Ft27dRGBgoEhMTHzLPsn7h0x4I8k2VqxYwcGDB1mzZk2a7RITEylXrhxLliyhWbNmFpn74MGD9OrVizp16jB37lxy5/5f6sNTp07RtXkPauZuRPTTGLTxOv75Z2GXQ42VlRVth36MT//mtPioBV5eXkyePBmAa9eu0adPH6Kjo1m6dCnVqlXj6NGjzJkzh0OHDtG9e3c8PDwIDg4mMDCQhg0b0qVLFz755JNUT55J3k/kiTRJtpHRU2nLli2jZMmSFhNcgMaNG3P+/Hny5s1LxYoV2bJlC5B0XDZ88zWKazx4cvcZCXHatwQXQBOTQOyrONZP20b7kj2oVrk6kyZNQqvVMn78eOrXr8+nn37KkSNHuHr1KjVr1qRnz54ULVqUTz/9lDVr1rBixQoaNWrEzZs32bFjB507d5aC+wEiV7qSbCMyMhIPDw+ePXuWapvY2FhKly7N7t27qVq1apbYcfz4cb788ksqVapEsxIfs+PnYLTxJuRyUEKVxhVoOboh/fr3o2zZsowfP56dO3eycOFCXF1dcXV1JSwsjBw5ctC1a1c6d+5MsWLFsuR+JP8tpOhKsg0hBM7OzkRERKRafWDixIlcvXrVrKTjpqDRaBjVdzRX1txDiel5BhRW8NjhLr0mfM6lS5dYv3497u7uREVFodFo6NKlS3L2rw+lDI0kY8h8upJsQ6FQJLsYatWq9db1p0+fMnfuXEJDQ7PcFjs7Owrpi3NN+RBhNH3dIQyQL8EV/7H+uORyQalUUrVqVbp27UrDhg2ztHS75L+NFF1JtpKW6E6ePJnOnTsnpyfMSmJexnJ0S6hZgvsag85I45rN+XLEF3h7e6NSpZzBSyL5O1J0JdlKyeIluXjqMveqP8DB2Z6ceZ2wsrbizp07rF27litXrmSLHUe3hKK0ytxq1BobqheoY3JVX8mHjRRdSbZw7fQtNs3azunNNzEKIwNWfotRb8Ta1hqfPi0IuRbEwIEDyZ8/9cKVluTZgxckmLJ5lgqRERnLzSuRvEaKriRLiYx4yrg203h46zE6jQ7j/z/Oa2ISANBqdGyavZNEnQ53pT26BB22atsst0sbrwULbCHrNKbXH5N82EhvvyTLiLh6n77VRnL38l8kxGmTBfefGHQGlFhxKvA8g+uPRROryRJ7jEYj169fZ8OGDRwLO4olVNfRRcbZSkxDhoxJsoSXka/oXXkEUU+jMOU3zFZtQ7k67kwL9s9UyZj4+HguXrxIeHg44eHhnD9/ngsXLpAjRw6cnJwQL6wo/LwM1pl42DNgQFFUi3e/xnh7e1OhQgUZHiZJF+lekGQJa37YQMzLWJMEF0CXkMi107cI3XmWem1qZqjP48eP3xDX8PBwIiIiKFu2LG5ubigUiuR6Z66urrRo0YLmzZuz5PPfeP7wpRl3l4Rapebz7zty9NRh2rRpg1arxdvbG29vb5o3b55qLLLkw0audCUWRxOXQIf8vUw75fUPytd1Z+6xyW+8ZjAYuH79+hviGh4eTmJiIlWqVKFKlSoULVqUmJgYrly5QkhICPb29rRo0YIWLVrQpEkTcuXKBcDVq1cZ0u5b9NesUArzVtQ1vavy4+7vgKSDHzdu3CAoKIigoCCOHDlCpUqVaNmyJd7e3lSrVk3G7koAKbqSLGD3sn0sGraKhDjzRddGbUPflV25/+JesrheunSJggULJgtslSpVkuN+9+3bR3BwMI8fP6Zp06Y0b96cFi1aUKJEiTfGffbsGT/88APr169n5NBRHJ91kdiX8SgwzS2gsrflp0MTcK+eckyxRqPhyJEjySL87NkzPvroI7y9vfnoo4/Ily+f2e+N5L+NFF2JxRnZfDzhIZcyNYYBA1rXV5T/qCRVqlShcuXKVKpUCXt7e06fPk1wcDD79u3j7Nmz1KhRI3k1W61atRR9wVqtlp9//pmpU6fSqVMnvv/+e/bv38+IvqOopK2PVqPLsPCq7GwZubI/nr71Mnw/ERER7Nmzh6CgIEJCQihVqlSyK6JOnTpYW0tP34eCFF2JxeldeTh3Lt7L9Dhdx7aj+/iO3Lx5M3kle+DAgWS/bIsWLWjYsGGambqEEGzdupVRo0ZRtmxZZs6cSZkyZZg+fToLFixg+/btzPhhFk/3JmDQGtJ0Ndja2aJUKBjz+1Dq+FQ3+750Oh0nTpxIXgXfvXuX5s2b4+3tjZeXF0WKFDF77Izy17UH7Ft7mMd3n6CN1+Gc14lKjcrTsH0dbFU2WT7/h4wUXYnFsZToOldRcfrFURITE5NFtlmzZhQoUCBD/c+ePcuwYcN48eIFs2bNokWLFuj1evr3709oaCi7du1ix44dLFiwgK++/IpV038lT1wRbI12KJUK9IkGrKyVCARxmjh6jf+cVl81xyWfc6bv7e88evSIvXv3EhQUxN69eylUqFDyKrhBgwYWO14shOD4H6f4fdo2bl+IwJBowKA3JF+3c1SDQkGrr5rRfqgPeQrnTmM0iblI0ZVYHEu4F1AKPNqUpPfE7pQrV86kUKwHDx4wZswY9uzZw/jx4+nZsydWVlbExMTg6+sLwLpf1xF++jydu3YiKDgIHx8f7OzsWLhwIcXzlOL2hQjiouJRO6jI55aHbgM7sWr1KmrXrp25+0oHg8HA6dOnk1fBly9fxtPTM1mEzc1LYdAbmNlzIUe3hKbra7e2tUJlp2LqnrGUrVXarPkkqSNF9wPk2cMX7Fy0h4PrjxP7Kg4Ah5wOeHaoS+u+XuQtkrkVzuopv7Huh60YE83/1TJioEz3wvQb/jUeHh4ZEt24uDhmzpzJvHnz6N27N6NHj8bJyQmA+/fv07pla8o4V8L6oQNP7j3DYDRgZWWFQgn6PPFEqv7iws1zKUYZjBs3jvj4eGbOnGn2PZnD8+fP2bdvX7IIOzo6JkdENG7cGHt7+3THEEIwseNPhO0+izY+4yfo1A4qfjo0gdLVSqTfWJJhpOh+QNy/8YiFg1cSfvASCEjUJr5x3eb/fXmVPMvTf64frmUKZ3js2NhYNm3axPLly7l0/hJVY5tgZUae2tcoXYwcituFQqEgV65cdO/enc6dO6d4AMFoNPLLL78wZswY6tevz9SpU99IGH7uXDg9PfuRV1sEW1vblFd6CoHS2ooyNUrhv37YWx88Fy9epHXr1ty5c+edHYAQQnDhwgUCAwMJCgrizJkz1K1bN3kVnNoTwebZO1np/7tZIXxOuR355e4i7BzUlrgFCVJ0PxiunLzOaO9JaGISUixH83cUCgV2jmom7xpNhQblUm0nhODkyZOsWLGCjRs34ubmxpMnT3B3d6eaQ32u7ruN0WA02Va1o5rvfh1M5Wbl2bJlC3PnzuXSpUtYW1uTO3duPv/8c3x9falQoQJHjx5l2LBhKJVKZs+eTb16b0YUBO4O5PvPppNbmR+91pDKjP/DylqJg7MDs49MxK3s/z50hBCUK1eONWvWpJiW8l0QHR1NSEgIQUFBBAYGIoRIFuBmzZrh7OyMwWCgY8HeRD2LNmsOtaOafrN70LKn5UonfehI0f0AiLjyFwPrfIcmNsGkfmoHNfOOT6J4xaJvvB4ZGZlc80uv11O6dGnOnDlDqVKlKFOmDNeuXePK+T+poW8MiUqTUhzYqm2o0KAsPwaOeSP0KyIiglWrVrFkyRJ0Oh2JiYkYDEnugdGjRzNy5Mi3QsWWLl3KkiFrySeKoNfqM2yDQgHOeZ1ZEj6DXAX+d6rM398fjUaT7S6GjCCE4Nq1a8luiGPHjlGtWjVqFKvLn5v/QmeCW+GfFCpVgFXX5skjzhZCiu57jhACvzKDeHjrsclHcgHyF8vL2lsL0Ov1BAYGsmLFCg4dOoS3tzcJCQkEBwfj7OxMVFQUpUuXTo4yaNCgAc/uvWBw/bHERcVnaMVra2dLMQ9XZh74IdXH2ZcvX9K3b1+2bNmCQqGgSJEixMTEkDNnTnx9ffH19cXDwwN/f3+2r91F0Rce6DSJKY6VFlbWVjTt0oBRqwYkv/ZvcDFklPj4eA4fPszi3muJu5+5TGhqBxWzDo5P9SCIxDTkucT3nMvHr/H80SuzBBfg5ZMo+nUehJubG5MmTcLe3p4CBQqwfv16goODadmyJbNmzeLOnTucO3eO6dOn06JFC+zs7HAtU5gl4TMpWbkoKnvbVJOG26ptsFHZ0LBtbWYfmZii4Or1ehYtWkS5cuVwdHQkIiKCZ8+eMWbMGNzd3Xn69ClBQUF4e3vj4uLCmjVraFzCm8SEjK9w/45Bb+DQhhPERccnv1ahQgXUajWnTp0ya8zsxN7eHm9vb9TGzGdBUygV3L/+yAJWSUCK7nvPxpnbM5UDQRuv5eqe29jZ2REeHs6mTZsoVKgQBw8eJCYmho0bN9KpUyfy5s2bYv+8RXKz8PR05hydRNMuDbBR22BrZ4tQGhEKI44uDnQY2YY1t37m27WDUgzMDwoKonLlymzcuJGgoCACAgIoWLAgOXLk4Msvv+To0aOcOnUKT09Pnj17hhCC0sXcuXrkZrr+67RQKBUErzn0v58VCjp06MDGjRvNHjO7MSVaITWMBiPx0VmTbvNDRLoX3mN0CTra5OyOXmfeau81AsE5pwMMGDyAQYMGkTu3+SFlibpEYl7E0qVjV67fvs7NiOupJoK5fPkyI0aM4NatW8ycOZPWrVun+lh/69YtWrVqRevWrWnRogVLfljJq1AtVplMpOdeoyQLwqYm/3zhwgU++eQTrly8yrMHL9DEJmCfQ02ewrmwc7TL1FyWRghBh4K9iHpi3ibaa+xyqBmyqDdNuzS0kGUfNvLA93tM9PMYrKyUZE5ywdrGirBjpynpUTzTNtnY2pCrgAv5iubhRPixFAX36dOnfP/992zatIkxY8bQt29fbG1TryZx4sQJ2rZty7hx4+jbty8AsVcSCTj3a6Y/cKKfx7zxs0prT6EXpWiX1w8blQ0KhQIhBIZEAw3a1qb9sNbvLK715cuXnDp1itDQUEJDQwkLC6NUVBUcyNwJOmEUFC5d0EJWSqTovsckavUoMll8EcBWZYuttWVL6OTPn5/Y2NjkCARISkozb948pk2bRteuXfnzzz+TUzGmxubNm+nTpw+rV6+mVatWya8bjSJTroXkcf5/A/DF45eM9ZnKvT8f4KBxQS8M6HVvhqAdXH+cY9tOUcyjCBN3jLb4ceG/o9PpuHDhQrLAhoaG8vDhQ6pXr07t2rXx8/Nj8eLF3Dv7iKmfz0suj2QOLgVy4l5DbqJZCim67zEOzvaZXukB6PUGHHNatiyNs7MzarWaJ0+eUKBAATZv3syoUaOoUKECx44do0yZMmn2F0Lw008/MXv2bPbu3UvVqlXfuO6Y0x6DUQ8mpmz8JzlcHHly7yn9a40m9mUs+sTUY32NBiPaeC03w+/ydZURLAibmunTfZB0r7dv3yYsLCxZYC9cuEDJkiWpXbs2DRs2ZMSIEZQvX/6tbGUFCxbExtYGDeaJrtpBRceRbf710Rr/JaTovsfkyOWIUy5HXjx+lalx7HPY4ZzXyUJWJZEjRw7s7e3Zv38/S5YsITo6mmXLltGsWfpB+Hq9nsGDB3P48GFOnDiBq6vrW20OnA9GGDMnubZqG2p/XI1hnt8T/Twmwwc9DIkGop5GM7zx9yw+NwP7HKb5el+8eEFYWFiyyIaFhaFSqahduza1a9dmypQp1KhRA0dHx3THsrKyotM3n7L6hw1mbaha21rTtKv05VoSKbrvMQqFgnbDWrPmh/Vm72Lb2tnSdsjHFq96oNfriYuLY9CgQcyYMYMePXpkqCZabGwsnTp1QqfTcfToUZyd336E37lzJ79t/ZV2Db7g8pHrZtuo1Wq5eOEiLyNfmXyyzmgw8vzRS3YuCcZ3xCdpznH+/PlkcQ0NDeXx48fJboJevXqxdOlSChfO+JHsf9JumA8Xj/3J2b3n0ZpQvVhlr2LqHn95BNjCyOiF95zoFzF0LvI1ugTTDwhAUj6GdfcWkTOvZfyTcXFxTJ8+nZ9++gmlUsnkyZMZMGBA+h2Bhw8f4uPjQ9WqVVm8eDE2Nm+Hl92+fZs6deqwbds2bGMdGN9+JgkmnsRLQvBcGYmzyIW1MN+fnatATn67vwSlUokQglu3br2x0XXx4kVKlSqVvIqtVasW5cuXz1RRzpTQJ+qZ9sV8Tu48k36WMRsrbO1s+XH3GDzqpe3mkZiOjNN9z3HKlYNm3RugsDb9QVtlr6LVV80sIrhGo5FVq1ZRpkwZbty4wfy58ynoWIQ7Z//iwuErRFy9n+bG16VLl6hbty7t2rUjICAgRcHVaDS0a9cOf39/6tWrR7XmFSlXuxRKM+7dLocdI6YMRmWTuVVeTFQsQ7uPomXLluTJk4cmTZqwdetWXF1dmTZtGpGRkZw/f56lS5fSs2dPKlasaHHBBbC2sea7dUMYsaI/paoWS0rI/o9NVrWjGrWDio+/bsGyC7Ok4GYRcqX7HnPr1i2mT5/Oxg0b8XRphS7SmOEjsSp7FRUblmXSztGZFoFDhw4xbNgwbG1t+WH0BB6EPmXr/N3ExcVjY2ONnZ0dBr0BRxcHfEd8wkfdG+Pg/L+Nu3379tGlSxdmz55N165dU5xDCMGXX36JVqvl119/Td74WfTzItYO2YqDwhnSz3cDJG0eTQkcQ/Daw+xeti9T9y4Q5KuaE19/H2rVqkWhQoUyNZ6luHPpHsFrDvL4zlN0Gh1OeXJQubEHjTvWQ2VnmaTpkpSRovsecvHiRaZMmcLevXvp06cPgwcPJpdLLmZ/vYSg1SEoUSBScVEqrZRJR3Lb1WZ4QF+sbcx3+9+8eZNRo0Zx9uxZpvw4hagzWrYv3Au8nVbyNWp7FUYhGLSgF149mrBy5Uq+/fZbNmzYgKenZ6pzLV26lHnz5hEaGppcvmfFihWMGTMGrUZHn4bDOL//MkaDQJ+YckSHnaMae2d7Ju8cTcnKxRjXZhondpw2+/5f07BdHcZtHJ7pcSTvB3Ij7T3ixIkT/Pjjj5w+fZohQ4awePHi5CTeACU+LsDzQ3fxrfs5RzeHYm1rjUFvRAEorZXodXoatK1Nu6E+mUpu8urVKyZOnMjq1asZPnw4a9euZVaPxYQFnktVbF+T8P877PMHBLBh7UYO3Ani0KFDlC1bNtU+p06dYuzYsRw9ejRZcFevXs24ceOoWrUq9evXZ8yYMTy89Zht8wMJXBGSdM9WSX7WRG0i5euVoePINlT/qDIKhYL79+/z/MUzs9+Dv6NUynAryf+QK913wK3zdzm2NZSnD15gNBjJVcCFmt5VqNjQtLI0kPRYvXfvXqZMmUJERAQjR47Ez88PO7s3w5QSEhIoX758clhW7Ks4wg9cIuZFLJAUXla5sQc5XNIPQ0qNxMRElixZwsSJE2nTpg0TJ04kf/78LBm5hh2L9pocsiSURgYu6kWbr1qm2ubZs2fUqFGDn376ibZt2wKwdu1aRo8ezZw5cxg0aBA3btx4o3ilLkFHZMRT7t95wMPIhzyJiuSvxxFcv36dGzducPPmTZycnCirqIb14/QrM6SFQqHg00Et6TfbL1PjSN4fpOhmE0lZq47z+7RtPLz5mESd/o0wJLWjGqdcjviO/ISPejRJN0zHaDSydetWfvzxRxISEvj222/p1KlTihtMAFOmTCEsLIytW7da9L4gSfgDAwMZPnw4hQsX5qeffqJSpUoAPH/0ki9K9jc7esI5Tw7WP1qWol/ZYDDQqlUrKleuzPTp0wH49ddfGTVqFMHBwQwYMAAfHx8aNGiQLKg3btxI/t7a2hp3d3dKly5N6dKlk78vVaoUTk5OnD90mbGtp5oZ/ZCE2iEp7EpuSkleI0U3G9DEavD/ZBrXTt1MN1xHZW9L3iK5mRHyA3kKvX0EVqfT8euvvzJt2jScnZ357rvvaN26dZpxtA8fPqRSpUqEhoaaXdgwNS5dusSwYcO4d+8eM2fO5OOPP35jtb7q+/VsnPGH2aJrl0PN6F8GU7d1jbeujRs3jiNHjrB161bu3LnDypUrWblyJU2bNuX69etcv34dBweHNwT179+nd8T4zJkzjG40BaEx3z1QsER+Vt+YL090SZKRopvF6LSJDG3oz91L9zIsPFbWSnLmc2ZJ+Eyc8yT5ZOPj41m+fDkzZszA3d2d0aNH07Rp0wz9Mffo0YMCBQowderUN143Go1mH3p48uQJ48aNY8uWLfj7+9OnT5+3VtkGvYH2+XsS+zLOrDle41GvDFOCx3Dr1q3kler+/fs5dOgQOXPmJCYmhrx58xIZGUm3bt2oU6cOU6dO5bvvvsPPz89kwQsLC2PixImcO3eODnW6ciPwvkmHCl6jslfx9cwvaN3nI5P7St5fZJxuFjOv3zLuXv7LpJWeQW8k6mk0Y1tP5dWrV0yePJnixYsTEhLCpk2b2LdvH82aNcuQmISFhbF3717GjBnDswfPWTn2NzoU6IW3bUe8rDvysX0XBtQZzZEtoRj06cdUJSQkMG3aNMqXL4+9vT3Xrl1j4MCBKbo17l9/iCGNXAUZ5dLxP3HJ6UKHDh1YuXIlN27c4MSJE8ycOZMzZ86wcuVKdDodp06dIiAgALVaTd68eU0W3OPHj9OyZUvat29Py5YtuXnzJtN+mUiRMoVMjuKwtrWmaPkiePk1MfV2Je85cqWbhUQ9i6aza590d+xTQ2mt4LJdGE3bNOKbb77Bw8PDpP5CCOrVq0f3zj34a+9zzu2/BKQcrmWXQ42VtRU9JnSkTf+3N66EEGzcuJFvvvmGypUrM2PGDEqXLp3m/JeOXmVs66nERcWn2S49lFZKNj9bjqOzIxqNhnr16uHn58egQYPYsmUL/fr1Y8+ePVSuXBmtVkuZMmVYs2YNjRo1ytD4hw8fZsKECdy6dYvvvvuO7t27v5FKMvp5DIMbjOVJxNMMfXjaqm0oUDwfc45OytTGpOT9RIaMZSGBy0MyFS5kNAi6N+nN5DXfmdV/3bp1GOPgwNTTRD2PSXPV+Tr1X8A3vxJx+T4DF/RKXiWGhYUxdOhQ4uPjWbFiBU2aZGz1prS2zMkqIQS2ahVCCPr160e5cuUYOHAg27Zto1+/fsmVJQAWLlxIxYoV0xVcIQQHDhxgwoQJ3L9/nzFjxtCtW7cUV+xOuXOw8NRUpndfQGjg2RTL10OS2ALU8anOiJX9Zc4CSYrIlW4W0rHQV5nO8GWrtmHD4wAcnEwLXYqNjcWjdAWqGxoT+yIeYcz4f7PaXkXbIR/T/OsGjB49mpCQECZNmkT37t1NOp328NZjelcenumSMbZqG3bFr2Pp0qXMnTuX0NBQQkJC+OqrrwgMDKRatWoAycUxQ0JCqFChQopjCSEIDg5mwoQJPH36lLFjx9K5c+e3UiKmxrMHz9mxaC/bF+0hPlqDtY0V+kQDDk52fDKgJT5ft0hxA1QieY0U3SxCn6inlbpLphNp2+ewY86xSRSv4GZSP39/f86tu4bhvjLNHLCpobBWcNn+BD0H+TFq1KgMpRH8J0IIergP5OGtSJP7vkapVNCoQ10+GtaAVq1acfToUW7cuEHPnj3ZtWsXNWr8L6phzJgxPHr0iBUrVqRoS2BgIBMmTCA6Ohp/f398fX3NPuIshECr0aGJ0WDvZCePzkoyjHQvZBHxMUmroMRMJhFXKBUmFwW8e/cuixcsoWZCc/SJ5vmThUHQ12coYycMM6s/JB0M8B3ZhsXD15AQZ16sq43aluY9G9GhQzsWL17MrVu36NmzJzt37nxDcB88eMDixYsJDw9/8z6EYPv27UycOBGdToe/vz/t2rXLdKpKhUKB2l6F2l6KrcQ05Eo3i0jUJfKxfVeTHutTQk8iDwtep0CpvLi6uuLm5vbWv87Ozm/s0vv6+uISV4CHh1+kGxecFio7WzZGBmSq4OKp0NOMrj8FhdE8kXMtW5gHrlepVKkSzZo144svvmDHjh3Url37jXa9e/cmZ86cyYckXh8emThxIgqFgnHjxtGmTRuL5wWWSExFrnSzCBtbGxxzOiQfszUXO5UdG3es53nUM/766y/u3btHeHg427dvT/5ZCJEswjY2Nhw5coTmTp9lSnABrKytOBN8gQaf1U6/8T9ITExk6tSpzJs3j769BnF27Z8mx7qq7VW4NLDl9nUtTZs25YsvvuCPP/54S3D//PNPtm7dyvXr1zEYDGzatImJEydiZ2fHxIkT8fHxkYcTJP8apOhmIa37fMTGWTvMDhlTKKDGR1WoVK1imu2ioqK4d+8ed+/epV+/fjRp0oSYvZkTe0g63PDKjPLd4eHh+Pn5UaBAAc6ePYurqyvbKgQS8M0vGRZetYOKVqM9mbxwPD/99BPdu3dn69at1K1b9622o0ePZvjw4ezevZtJkyaRM2dOZs6ciZeXlxRbyb8OKbpZSOt+Xmz8aYfZ/VX2KnxHpl7q5TXOzs5UrFiRkydPUqxYMbZs2ULHQl/xUhNl9tyQ5A9NLQ1iSuh0On788UcWLFjAjBkz6N69e7LofTqgJfmL5mVun6XERcenuApPSitpTcHi+ek2pS2+PdsxZswYBgwYwObNm6lfv/5bfQ4fPszhw4e5dOkSBQoUYP78+Rk+OCKRvAukWJnZzQAAIABJREFUgysLyVMoF7W8q2KjSjkJTVoorZTkdc2NR/3UUxr+naioKPz9/Zk7dy4KhQIH58xlx3ptQ0aD+8+ePUvNmjU5ffo04eHh9OjR4y3hK1QyP1WaVUCv06NIIX5ZCIF7jVL0m9+DIf4D6dChA5MmTWLjxo00bPhmcUSdTkdAQABeXl7ky5ePZcuWcfjwYZo3by4FV/KvRm6kZTFx0fH0q/ENkRFPM3wkVqFQ4JjTnkVnZ5C/aN4M9RkxYgSvXr0iICAAgEXDVrF9wR6TVqr/xIiB+MqReLVpgbe3NzVr1nwrxEqr1TJp0iSWLFnCzJkz+fzzz1MUvUMbjjPjy4UkahPTLPKoUABKMBSN42L0aTZs2EDjxo3fmG/lypVMnToVFxcXXr16xc2bN7OkxI1EkhX8K0VXCMH5g5fZ9nMgD64/IiFOi72THSWrFqPt4I8pVaX4uzbRJF49jWJks/E8vBWJLh2fpo2tNY65HJl14Adcy2SsAuz169epV68ely9fJn/+/AA8uh1JrwpDzc7uBVC5iQetxjQiKCiIoKAgHjx4QIsWSQLs5eXFgwcP8PPzo0SJEixevJiCBQumOM6hjSeY3uPndO/97xgw0PTLeowNGAEk5XwICAhg2rRpVKxYkdGjR9OnTx+mTZuGj4+P2fcokWQ3/yrRFUKwa2kw637cQszLOLRxCfzdur/7/PwmdaZem5rvzlgTSYjX8sfPgayf+Qevnr/CSrzpTrdzVKO0UuLzdQvaD29tUjHI1q1b06hRI0aOHPnG68M8x3HxyFWz7FU7qvl+0whqfFQ5+bUHDx6wZ88edu3axe7du9Hr9bRs2ZJhw4ZRr169N/IVvOb+9Yf0qTbSrFNpKntbxm4cxslrR5gxYwY1atRg7Nix1KxZkxUrVrB69WoOHjwo3QmS/xT/GtHVJ+qZ0m0eYbvOJpdsSQuVvS3thramx4SO/6k/uh9++IH75x/j7lyB0MNhKJVWVKlZifqf1vq/9s47LKqre9v39KGrYMEu9t67RrGTqERFscWuGGLvvUWMHU0US6yJDUVjw16xdxHE3guigvQ2zJzvD37OGwIoU0CT79zXxSWcOWefPYAP+6y91rNo2KEOCqVh8d9Dhw4xdOhQgoODUanSJurPn7KIQ3POIcOwR2+FSk6ZmiVZHDArXV7rpUuX6Nu3L2XLlqVfv35cuXKFQ4cOcf/+fZydnWnTpg1t2rShWLFiACwZvJpD605kycEsI2IVkRRsa8uUKVOoXr06kGpzWbZsWXbs2EG9evWMGldE5EvxVYiuIAjM6b6EC3uvGpTLqbZU0W1SB7pP6pSNszMfgiBQsWJF1q5dS/369Rk/fjy5c+dmwoQJRo2n0WioUqUK8+bNo337/2U5JCYmMnToUM6ePcuoH8azbepepELWhFehSnXI+u3inDR+D4mJiUyfPp2NGzeydOlSunTpkuaP3bt37zhy5AiHDh3i8OHD2Nvb06p5K+6vfUtKkvFxZblSzvq7SylQPJ/+2Lx587h8+TI7d+40elwRkS/FV5G9cHzzGS7uv2Zw8nxifBJb5uzi3pWH2TQz8xIcHExcXJx+dabVak3aAFqxYgVFihShXbt2+mPPnz+ncePGfPjwgePHj7PC71eq9ymDpa0FFtaZu15JZVJUlioqNizLsku/pBHcCxcuUL16dR4/fsytW7dwd0//dJE3b1569OjBn3/+yZs3b9i0aRPaUBkajWlmNwD7Vx3Rfx4REcHChQuZM2eOyeOKiHwJvgrR3frLLqOrp5ITNWxfuNfMM8oefH1906wQTRHd9+/f8/PPP+Pt7a0f79ixY9SpU4cuXbqwZcsW+vXrR61atViw5he2h/7OkN/6U6RcIVSWSqzsLPUfSrWCpu4N8Q6YxYJj07G0SS37TUhIYMyYMXTs2JFZs2axY8cO8uXL96lpASCVSqlZsyZVSlY3uvz3IynJKTwOfKb/es6cOXTq1ImyZcWeYyL/Tr54ccS9q48Ie2Z8q2tBJ3Bx31Wi3kfrW9t8jQiCgK+vL9u2bdMfM0V0p02bRteuXalYsSKCIDBv3jyWLl3Kli1bcHZ2ZsCAAchkMnx8fJBIJKgsVLTq3ZRWvZvy4t4rwl9/ICkhGZvcVhQtXxjrXFZpxj979iz9+vWjZs2a3Lp1i7x5s5a69ndMLYH+SGxkqgn6s2fPWL9+PcHBwWYZV0TkS/DFRdd/9VE0iaY9gkokEk75nsf1pzZmmpX5uXHjBoIg6L1fwXjRDQoKws/Pj7t37xIdHU2fPn149eoVly9fpkiRIsyaNYvAwEBOnTqVoU9skbKFMk1Hi4+PZ/Lkyfj6+rJs2TJ9W3NjsM5t9fmTsoCVXerKe/r06Xh6emaamiYi8m/gi4cXXj96g85EJ66khGTCnr0z04yyB19f33SxUGNEVxAERowYwfTp03nz5g116tQhX758BAQEUKRIETZs2MD69evZv3+/wR64AQEBVK1albdv3xIUFGSS4ALYF8mFXGVa0YJcIadE5aLcunWLgwcPpkuLExH5t/HFV7pJJjphfcRQz9mc5GNoYe/etLFnnU5nsOju2bOHsLAw7O3tadKkCfPnz6dv374AHDlyhPHjx3P69GkKFCiQ5THj4uKYOHEiO3fuxMfHB1dXV4Pm9Hfevn3L7t278fPz48rFq9RKaQYYn9InlUlo69GKgcP6M2nSJGxtv94QkohIVvjiK11zPYLa5f16/zNeunQJCwsLKldO6xam1WoN8ndNTExk9OjRVKhQgYkTJ3Lo0CG94AYGBtKzZ0927txJuXJZ82sAOHnyJJUrVyYqKoqgoCCjBPf169csX74cZ2dnypQpw8mTJxk0aBAvQ1/Qpk9zZHLjf83K1CrJ/Rd3uXPnDoMHDzZ6HBGRr4UvvtKt2LActwJCSE4wvlzVwkZN6Rpfb2lwRqEFMDy8MHv2bKKiooiMjOTq1avY29sD8OLFC9q2bcvy5ctp1KhRlsaKjY1l/Pjx7Nmzh5UrVxpcSvv8+XN27dqFn58fISEhtG3blhEjRtCqVSssLP5net55dHtObj2LNsW4irQeU9z4afwgZs+ena74Q0Tk38gXX+l+O6A5Qub+J1kiITEBwV5jcj+y7ECn07Fjxw7c3d3TvWaI6O7fv59ffvmFLl26cPDgQb3gRkZG4uLiwsiRI+ncuXOWxjp+/DiVK1cmISGB4ODgLAvu48ePWbBgAXXr1qVGjRoEBQUxadIkQkND+eOPP3B1dU0juABFyxWiz1x3dBLDfsiptpauPI1+gEajoWvXrgZdLyLytfLFV7p5CuSmVquqXNx/zSjRFKQCYfJndHHvTJEiRRg5ciRubm4ZttL+Epw7d448efJQvnz5dK9lRXQFQWDVqlWMGDECV1dXfHx89K8lJSXRsWNHmjdvzsiRIz87l+joaMaNG4e/vz+rV6/GxcXls9fcu3ePnTt34ufnx6tXr+jQoQOzZ8+madOmWfoeh4WFMXX5eFp1assj/9ckJ2k+28JIZami64Tv6TKuPZUqVWL58uVimx2R/ww5KrraFC3Xjt7i9cM3JMQmYmGjpmi5QvSY2onrx28ZZYpibWOF54rJzJo7g6ioKBYsWMDYsWP56aefGDRokH5F+KX4GFrIiM+JbkJCAp6engQEBGBra8uGDRv0r+l0Ovr370+uXLlYvHjxZ/0njhw5wsCBA2nVqhXBwcHY2WVsqCMIAiEhIfj5+eHn50d4eDidOnVi8eLFNG7c2KBwyPv372nRogVdu3Zl+vTpPLz5hK2//MX5vVdISkpK4wmhUMkBCVW+KU+3iR2p2rQiK1eupFixYrRs2TLL9xQR+drJEe+FD2GR7F91lN2/HUCTnEJKshZtiha5QoZMLkNtpaaacyXO7b5kkBWh2lLF/OPTKV+3NDqdjq1btzJlyhQKFy6Mvb09p0+fxt3dneHDh2e40sxutFothQoV4uzZs5QqVSrd625ubri7u2cYFnjy5AmdOnWidOnSPH36FA8PD/r166d/feLEiZw+fZrjx4+ne6T/O1FRUYwZM4YjR47w+++/06pVq3TnCILAzZs39Sva+Ph43Nzc6NSpE/Xr1zdqlRkREUHz5s1xcXHBy8srzR+FVctWs3/NURpUasSdoHtExkTg1rsjbfo1I18RByA15lymTBn27dtHzZo1Db6/iMjXSrY/s109EkivUkPYNvcvosNjSYhJ1BtZJydqSIhN5ENYJOf3XEYikaBUKf5v1ZM5KkslVrksWXhyBuXrlk59I1IpPXr04O7du7i5uXHhwgX9po6zszMuLi4cPnw4R+O+p0+fplChQhkKLmSeMnb48GHq1atHr169aN++PVqtlj59+uhfX7lyJTt37mTv3r2fFNyDBw9SuXJlZDIZQUFBaQRXEAQuX77M+PHjKVWqFG5ubmg0Gv744w+ePXvG4sWLadiwoVGCGxUVRevWrWnWrFk6wQUIuHCa9j+1YuKm4XSY0RJZ1SR6Te+iF1wAb29vmjZtKgquyH+ObA0vXPK/xs9dFmfJyObjOUoLJY071OWS/3UEnYAmWUOKRotcIUeulGFhbYHbqLa06dcsw1YyKpWK4cOH06dPHxYsWMCKFSvo3bs3Tk5OjBs3jpEjRzJixAh69uyJpaXpLW0+xadCC5A+ZUyn0zFnzhx8fHzYsWMHNWvWpFy5cmzdulV/3r59+5g5cyZnz57FwcEhw3EjIyMZNWoUJ0+eZP369TRv3lw//oULF9i5cyc7d+5ErVbTuXNn/Pz8qFatmlksMmNiYnBxcaFevXosXLgw3Zg6nY5jx47h5eUFpPZ3i4yMTHPOu3fvWLp0KZcvXzZ5PiIiXxvZJrrP777iZ3dvg53DkhOSubDvKiuuzefZ7Ze8efKWhLhErGwtKVqhMNWcK2Zp9WVnZ8fs2bPx9PRk5syZzJw5k7Fjx1K5cmVWrFjBlClTGDhwIJ6enhQqlLUODYag0WjYtWsXV65cyfScv8d0IyMj6dWrF+/fv+fKlSsUKlSI6dOn06hRI30a2JUrV+jXrx/+/v6ULFkywzH9/f3x8PDA1dWVW7duYWlpyalTp9i5cye7du0iT548uLm54e/vT8WKFc3qRRwXF0fbtm2pVKmSvlfbPwkKCsLW1pbixYsDkCtXrnSi+/PPP9O9e3ecnJzMNjcRka+FbBPdrb/sMrr1uCYphX0rDjN4UR+T51GwYEFWrVrFyJEjmTRpEsuWLWPmzJnMnz8fHx8fKleurE+5qlWrlsn3+8iJEycoWbKkXlwy4qPoBgcH06FDB1q3bo2fnx9KpZJnz56xbNkybty4AaSma7m6urJ27Vrq1KmTbqyIiAhGjBjBuXPnWL9+PZDaN2337t0UKlQINzc3Tpw4kW3uXAkJCbi6ulKiRAlWrlyZ6R/Go0ePptkYy5UrF1FR/+ta/OjRI7Zs2cKdO8Z1vBAR+drJlphuXFQcATsufLIB4adISU7hwO/HSTbRCOfvlCtXjl27duHr68u6detwc3OjVatWPHr0iBo1atCpUycaNWqEn58fKSnGm25/5HOhBUgV3YCAAJydnZk2bRrLli3Tt7wZN24cQ4cOpWjRooSHh+Pi4sLUqVPTmJV/ZO/evVSuXJnIyEgaNGhAt27dmDJlCqVKleLChQtcv36dSZMmZZvgfkxdy5cvH2vXrv3kk0hGovv3le7UqVMZPny4Ua5mIiL/BrIle+Gv3w6wduIWkrLQdiczLKzVDPMZSIue35hxZqkIgsD+/fuZMGECDg4OzJs3j1q1arF7926WLFnCy5cvGTp0KAMGDMg0tepTJCcn4+joyK1btzINXWg0GpycnEhJSeHgwYNUq1ZN/9qZM2f0m4ISiYQWLVrQuHFj5s6dm2aMly9f0rNnT65duwZA1apVcXNzo2PHjhQtWtTgeRtDcnIynTt3RqFQsG3btgxdzT6SmJhI3rx5efHiBbly5QIgJSUFtVpNcnIyN27coF27dty/f99gsx4RkX8L2RJeuH32rkmCC5AQm8jdS/ezRXQlEgnt2rXDxcWFP/74g86dO1O3bl28vLw4e/Ysly9fZunSpZQoUYKePXsybNiwTDMQtClaHt54QtT7GARBwCaPNfdD71CxYsVMBffNmzd06dKF+Ph41q9fn0ZwtVotw4cPZ/78+ahUKtzd3SlWrJi+U0JcXBwHDx5kyZIlnD9/nkKFCjFr1izc3d0pWLCg2b9XnyIlJYXu3bsjCAJbtmz5pOACnDh6kmoOdZjqMp/o99HotALWua0oKavIq6ehTJgwgWnTpomCK/KfJltEN9pM5tVR72PMMk5myOVy+vXrR7du3fj1119p1KgRnTp1Yvr06WzevJmXL1/i4+ND/fr1adCgASNGjKBp06ZIJBIi3nz4v9zjg6RoUvSP1IIgkBCfQIVvavLm6ds0vb0gtULN3d2dAQMGgEC6lfSGDRuwtLTE3d2dUaNGER4ezvbt2/H19cXPz48jR45gZWWFIAjs3bv3i7Uf12q19OrVi7i4OHbv3p1hJ+CPfHgbxbrJWzi88SSWEnvuPnvwvxefQmFKMqDcKOJU0Gbpt9k/eRGRL0i2hBemfT+PC3uvmj5QwSSquJemQYMGNGzYkPz582dr59+IiAjmzJnD+vXr8fT0ZOzYsdja2hIfH8+ff/7JkiVLUClVtCzbltv7HiORkGkxh1wpQyJNbak+eFFvJBIJS71/ZcWMNVTPU4+oN7FokjVIpVJy57Oj7eBWfNOtLvW+qcv+/fs5dOgQPj4+VKlShXPnztG4cWOKFy+On58fP/zwAz///PMnc3Szk4/VcC9evGDfvn2fnMfL+68Z1XQ60eExaDWf7ggskYCFjQVe/pOo1DDrTmkiIv8mskV0V439g7+W+qNNMcHJRgoJjh94qAkmIiICjSZVoOzs7ChUqBBlypShRo0aNGrUiMqVK5MnTx6zzf/Zs2dMmzaNQ4cOMXnyZDw8PFCpVOh0OiZ2nsX1PcGgy5r4qy1VVG9VmVuPbhBzW4OFhZqkuPQbhEoLRWpOsl0ikQVfczP4Bi1atKBXr17UrVuXyZMnc+vWLdavX0/9+vXN9l4/oknWcO/yQ6LDY9HpdNja21C2dklUFmmdvQRBYPDgwdy5c4eDBw9iZZW5Nef71xEMrj6W6P8LvWQVtZWKpee8cKpSzOj3IyLytZItovss5AWetSeQbGCO7t9RqBRsfPAbeQuneidER0dz6dIlzp49y82bN7l//z6vX78mJiY1BCGXy7G3t6do0aJUqFCBOnXqULt2bcqUKWO08fWtW7eYOHEid+7cYfbs2Vh9yM3v4zcbHK8WEFJX6Fn4TgsSgSQSmLxrOK3bt2T79u0MHz6c3r17M2PGDLOvbt++eM9en0PsX3n0/4RRwseJ6nQCbfo602HYtxQsWQBBEBg2bBjXrl3j8OHD2NjYfHLskd9M5c7FB2hTPr3CzQj7QnnY8myFaHQj8p8j27wXPGuP58G1x0ZfX7NlFeYenvrZ81JSUnjy5AmXLl3i4sWLBAUF8fjxY96+fatP/VIqleTPnx8nJyeqVKlC3bp1qVChAqVKlfrkSu0jp06dYtyYcdjcLILUxO62WUEqk5CvWF7iKrzh3qO7rF+/PsPcXFMQBIE/Zm5n+/w9CIKAJinjNDm5QoZUJsVlQHOeKEIICAjg2LFjn83qeHn/NR7Vxxr9h9fCWs0U31HUcalu1PUiIl8r2Sa6Z3ZdYn7v34xqra6yVPHz3vFUb1b58yd/gvDwcO7evcvFixe5evUqd+7c4fnz50RFRSGXy0lJScHS0pKCBQtStmxZatSoQbVq1ShdujQlS5ZErVbrxzr652m8PVaiSTQ9hzcr6NBSsJ4Dv5/4Nc08zIEgCCz5cTXHN53J8qpdqpCQYBnNrgebMi0//ju/DVmD/+/HPhvH/RRVm1Zk4YkZRl8vIvI1km2iKwgCiwas4OTWswY5h6ksVbT3bMWg+b2yY1pAam7p48ePCQkJ4dKlS9y4cYMHDx7w+vVrBEFAJpOh0WiwsbGhWLFiVKhQgYSTcmLDcrYPm5WdJTvC1qBQmtcb2HfBHjbN3EGigWESlYUS16EuDJzb85PnCYJAe9sfjPqD+3cUKjlbnq8kV17Dc6VFRL5WsiVlTKvVcuXgTV7ef40mOesrQ5WVijZ9nRk474fsmJYepVJJuXLlKFeuXJqOt4Ig8PbtW+7evcvt27e5evUqQUFBHDl0hGqRTZGY0GDRGHRaHef+ukxT94ZmGzMhLpE/Z+4wKo86KSGZv5YewMXDGatclgiCgE6n0398/DohLtGgP7SZoVApiAiNFEVX5D+F2Ve6MR9imdhmNs/vvCIhNjELM0jd4c/jmJveM91p1i1rPb5ykg9vo+hR/Ec0ZhASQ0m2jifK6VUaUfunyP3za61Wm+b4x68FQcAhuSDFkssjN/LvrZYUnkru8kL6MM3xv/8ayXQKGuGCFNPar1vZWTLn4GQq1Ctj0jgiIl8TZl3pxkXFMaTOBN6+CCcliytcqVRKrVZVmeY3JltzcA1Bo9Hw4sULnj17xrNnz3h09zGa5JwXXACVRE2BAgXQaDQkJyej0Wj0nycnJ6PVaklOTiYpKUl/LDk5GZlMhlKpRK1Wo1arUalUKJVKCj0va7TgAsiQU8m2Fks2zCMhMYHw8HDevn1LWFgYoaGhvHz5khfPXyJ5b/qGo06nwzqXebpFi4h8LZhNdAVBYEr7ubx7mXXBhdRH6CuHA9m34jDtPduYazqfJCEhQS+oHz+ePn2q//zt27cUKFCAYsWKUbx4cYoWLYoECUJWcr7MTGxMLLfOnsPCwgK1Wo2lpSWWlpbkypULKysrrK2tsbGxwdbWFltbW+zs7MiVKxc2NjZYW1vrz7GyskIhU/JTxUnoMK0TaHx0PL279UVuJaVkyZI4OTnh5OREnTp19J9PbPILYU/fmXQfQSeQv9jnN+1ERP5NmE10715+yMNrTzJNPfoUSfFJbJjmy3eDWiKTm/ZICqmdCz4lqlFRURQpUkQvqsWKFaNFixbY2dlhZWWFTCYjIiKCd+/e8f79e969e4e8gEDyayHH47pqGzXdunSjVKlSFCtWDEdHR7RaLbGxscTFxaX799mzZ9y+fTvD1xKjknDSVk/Tm8yoOVmqCThyhsr1K2R6Tpcxrvw+/k+jN9NkChmtejdNV5whIvJvx2yiu2PRXpJMsGJM0aRwcf81Gn7/6XxUQRB4//59poL67NkzNBoNRYoUoUCBAtjb22Nra0u+fPlwdHSkbt26xMfHEx4ezrt37wgICOD9+/fExMSQO3du8ubNq/9wcHDAzs6OsLAw7sYHUkJSCYlg+h+FrKK0UFC/S10sykkIDAxk69at3Lt3j+LFi1O1atU0HwULFvxseCbyXRQ9iv1o8iaXVColV55Pb261+OEbVo/9w+h7yGRSOgwTfRhE/nuYRXSjw2O4uO/aZ1trf4qEmER85++mfvtahIaGphHRJ0+e8PDhQ54+fcqrV6+Qy+XkyZMHa2tr1Go1UqlUH9u0trYmPDycp0+fEhcXR3R0NA4ODmmE9J/CmjdvXnLnzp2m+ik0NJRly5axevVqGjVqxMY9a/m9ny+hj8LM8S3LEimaFPpN6UnBYgX0x5KTk7l79y6BgYEEBgbi7e1NYGAgOp2OKlWqpBHiChUqoFL9b6Vok9vatNLs/0OTlIJd3k9X+VnaWPCtR3P8luxDZuCvmVwpo0aLKhQuk7OuaSIiOYFZRPfp7Rco1QqjO0V8JPjiXRQKBQqFAqVSiUQiISUlhcTERCwsLLC3t6dq1aoUKFAgnYD+83MrKyujNuaCg4NZtGgRu3fvpnv37pw/f57SpVObXxbwLcTIb6aZbFuZFSRSCXJHgep1qjJ69Gh++uknrKysUCqVVKlShSpVqvDDD6mpdYIg8ObNGwIDA7l16xZHjx5l4cKFPHr0iFKlSqUR4irNKnDzaBCm5KyUqVUS2zyfLgEGKPSNPdI/dagSlCTFZ/0pSKvRcffyA3zn76b9T22wsDJvcYiIyJfELCljF/ZdZW6v34iPijd5Qm0W1KNw4cJpBNTBwQGFwrwFAn9HEASOHj3KokWLuHXrFkOGDGHw4MHY29unO/fIthMs7rOKlGRtluK7HzffDI0FW9io8bk6n6jkCGbNmsXp06cZPXo0np6eWSpdhlTT8JCQEP2qODAwkEfXnlEqtprRcV0LGzUT/hxGg/a1P3vu0KFDcSxQEMVDWwL8LpAUn2yQ8Y3SQkm+og4sOjmDPAVyGzVfEZGvDbOI7rWjgfzcZTFxJoquXCnnYOJWU6eTZZKSkti6dSuLFy9GEARGjRpF9+7d0zySAzx//pydO3fi5+fHnTt3aFjlG8LPJpBbaU+KRpuuLZFEKkEqlxCTHE2kQygFokugFNSkaLK2yaiyVDHnwCSqfPO/jarg4GBmzpzJmTNnGDt2LD/++KNR3Yx1Oh09nX7k3fMIg68FsHOwwTf09wxbx/+TcuXKsXnzZmrUqEHIhfts8drJ5YM3DLqfTC7FvmAeVt5YkGH3ZxGRfxtmcW9xKGyfZUH5FHYOn39kNQcffXNLlCjBli1bWLBgAbdu3aJv3756wX3y5AkLFy6kbt261KhRg+DgYKZOnUpoaCiR2nB6LevAsstzadWnKVpJClKZFKlMioWNBarCEsIKPcKujZQHkSGM3+lJ6RolkCk//e22sFFj52DL4tMz0wguQKVKldixYwdHjhzh/PnzlCxZEm9vbxISDCtNlkqlzPprAmpLw7MCZEoZfRZ3ztJq9cWLF7x//57q1asjkUio2KAs0eExSGWG/cppU3REvInEq6u3wfMVEfkaMctKVxAE+pUfzsv7oUaPoVQr6DqhAz9M62zqdDLl0aNHeHt7s2XLFtq3b8+oUaOoUqWK/vXW+ZlfAAAgAElEQVSHDx/i5+eHn58fz58/p0OHDri5udG0aVN9eOOPP/7gt99+4+LFi8hkMiIjIylSpAhRUVE8evQINzc3KlWqREpKCu/fv6dr1674+Phw+vRpqjvV4vsa7tw9+wiF6n/hkuTEZKJ1kXhtmkrD7+sgV3w+1H7z5k1mzpzJpUuXGD9+PIMGDTLI9vHGiSCmuc7LckqXVC5BVVNLyLtAQkNDqVChwv/ixP+3gfex7xnA+vXrOXToEL6+vqnf25tPGNFoikGx3b+jUCtYE7SYgiULfP5kEZGvGLOVAR9ad4LlI9aRGGvcJpNCpWDTk+XkKZCbFE0KEqkkS4+wWeH8+fMsWrSIgIAABg4cyJAhQ/T9xO7du6cX2tDQUDp27Ejnzp1p3Lhxup5fkZGRlC9fnr1791K7dmpM88KFCwwfPpzJkyczcOBApk6dypkzZ4iOjuavv/5CrVbTunVrrKysSElJYd++fURHxPDyfihxUfGoLVXkLWJPs2+bsn79eurWrWvQe7tx4wYzZszg6tWrTJgwgYEDB2bZlezxrWcsHriSJ8HP0Wq06XxvpTIpCpWcgqUcGbFykL4cNyYmhuDg4DSx4qCgIPLkyaMX4pMnT+Li4sLEiRORSqXM6/0bJ7acNbpDtFwhp51nKzy9+xp1vYjI14LZRDcxPgn3ggOJjzbciUuulFGmViksrNXcOh3yfxVtAkoLFQ1ca+E2qh1lapY0aMyUlBT++usvFi9ezNu3bxk5ciR9+/bFysqKkJAQduzYgZ+fHxEREXTq1Ak3NzcaNmz4SaEfOnQoGo2GlStX6o+tWrWKZcuWERUVxaZNm1i8eDFarZYdO3boxe/evXtUqFCBbdu20blzxiv5qVOnkpiYyIIFCwx6nx+5du0aM2fO5Pr160yYMIEBAwZkWXyf333FX0v9ObPrEgkxCQiCgIW1BXW/q0GnkW0pWbX4Z8fQ6XQ8fvyYwMBAbt68yfz588mXLx+RkZFUqlAJm+uFEYx3eQRSPXZ3R24Ujc1F/tWY1fDmxokgprabS5IBxtUSqQQJEpQWigwfdaVSCQq1gvzF8jHhz6GUruH0yfFiYmJYt24dS5cuxdHRkdGjR9O+fXtCQkL0K9qYmBjc3Nxwc3Ojfv36WfpPfP36db799ltCQkL0rYHevn1LrVq1UKlUnDhxgsGDB6NSqdi2bVuaRo0bNmzAy8uLokWLcuzYsQxT2QIDA+nQoQOPHj0yyYPi6tWrzJgxg8DAQCZOnEj//v3TbQxmNzdv3qRLly7cv3+fqKgoTh8+g0+vP9Emm5YjLFfK2R76u7ihJvKvxqxLhurNKjNpywhUlpl3hk1zc5kUQZfqjJVZbFGnE0iKT+b5nZeM/GYaV48EZnjeq1evmDBhAiVKlODs2bNs3ryZZcuWce3aNSpWrEj79u31Lc+fPXuGt7c3DRs2zJLg6nQ6PD098fLy0gvuxYsXqVWrFnK5nDlz5tC/f39sbGzw9fVNI7harZa5c+fi4+NDVFQUGzZsyPAeVapUQSqVcuOGYbv7/6RWrVrs37+fnTt3sn//fkqXLs3KlStJTja+WtBQjh49SsuWLYHUbseVy1dGpTZd+OVymVFPUiIiXxNmf05r4FqbxadnUbVpRRQqBXJl+k0htZUKhcrwuoyk+CRmdFzAvauP9McCAwPp1asXlStXJj4+njVr1uDk5ETPnj1xc3NDq9WyefPmNNkIhj6erl+/HqlUSt++fREEgWXLltG+fXuWLVtGUlIS3t7e5M+fn02bNqXLJ961axe5cuWiRYsWrFmzhvHjxxMWlr6qTSKR4Obmxs6dOw3+vmREnTp1OHDgANu3b2f37t2ULl2a1atX54j4/l10IbXDr7Gx3L+TkqLFys7wNDkRka+JbOscAfDm6Vt2/3aQK4dvEhcZj1whwy6vLS17fcPaiVuMNkMpVKoAXZa4sHjxYu7cucP333+PRCJh//79KJVKOnfujJubG9WqVTPZLjI8PJyKFSty8OBBypQpg4eHB0FBQezcuRO1Wk2xYsXo1asXa9asSRcPFgSB6tWr8/PPP9OuXTsAJkyYwNOnT9m2bVu6e125coWePXty9+5ds9tcXrhwgenTp/PgwQMmT55M7969s6XgJDExkbx58/Ly5Ut9H7XkJA0d7fuaXMlnZWfJrvD1YkxX5F9Ntv72Fiiej8GLerM22JttL1ex6YkPyy/PxcLawiRRefHoNeM8JiKXy5FKpZw8eRJ7e3v27dvHvXv38PLy0ueHmsqkSZPo3LkzVlZW1KtXD5lMxoULF3BwcMDFxQV7e3vWrl2b4QbcgQMHEASBtm3b6o9Nnz6da9eusX///nTn16pVi8TERG7fvm3yvP9J/fr1OXLkCJs2bcLX15eyZcuybt06NBrz+gSfPXuWypUrp2lcqVQpaNGzsWkOchKB3JWtRMEV+dfzRX6Dt83bnbWuEpkgESB3jCMNGjTg8OHDhISEMHPmTCpXrmzWFeLly5fZt28fdevWpVGjRgwZMoQNGzaQmJhIy5YtyZcvH23atMlQCARBwMvLi0mTJqWZk4WFBatWrcLT01PfPl7/viQSOnXqZLYQQ0Y0bNiQo0ePsnHjRjZv3ky5cuVYv369vnOyIQiCwL0rDzm++Qz7Vx3lxJYz7P5jH82bN093bofh3yFXGC+6cqWCI7f3ce3aNaPHEBH5GsjW8EJGvH3+jr7lRxjdmvsjcoWMA4lbs63bhFarpU6dOjg6OhIUFISfnx+1a9fm/fv3tGzZkubNm6PT6ShQoADjxo1Ld/2pU6fw8PAgJCQkw1Vw//79sbS05Lfffktz/Pz58/oQRk5w+vRpZsyYwYsXL5g6dSo9evRIl5/8TxJiEzi++SzbF+zhQ1gkEokEnVaHVCYlPj6ePAVy03uaO816NE5jVjO2+UyCz901yOQeUgtnarepThm3QsyePZtr164ZVAgiIvI1keMr3ch30SateD4iCBjczdYQPrp0JSUlce3aNWrXrk1YWBjOzs58++23LFiwgJCQECpUyNjI28vLiwkTJmSa97tgwQJ27tzJhQsX0hyvV68eERER3Lt3z+zvKSOaNGnCyZMnWbNmDevWraNChQr8+eefma587115SPdiP7JqzEZCH4eRGJdEQmwiSQnJJMQmItFJ+fA6ilVj/qBHsR+5f+1/m57Td47B3jE3MgN+/nKlnPzF8zH+z6F069aNSpUqMWXKFJPft4jIlyLHRVebogMzrE4lUgm6FBOz7TPB39+fSZMm4e7uzqFDh3BwcOD169c0bdoUNzc3Zs+ejUQiISQkhIoVK6a7/vLly9y/f58ePXpkeo88efKwdOlSBgwYkCajQCqV0rFjx2wNMWRE06ZNOXXqFCtXrmT16tVUrFiRzZs3o9X+73sccuEeY5xnEPsh7rOboAmxicRExDK66XRCLt4HwDqXFb9dnEPh0o5ZSitUW6pwqlKMpedmY2GlRiKR4OPjw7Zt2zh16pRJ71dE5EuR46Jrk8faLGKpTdFiYWPeR0xBEPj1119xc3Ojffv2rFq1CplMxosXL2jSpAm9evVi+vTpSCQSoqOjiYiIoFixYunG8fLyYuzYsWnydTPCzc2NkiVLMnfu3DTHszuumxkSiYRmzZoREBDA8uXL8fHxoWLFimzZsoU3T8OY6DLH4KeLxLgkJrl48e5lOAC58+di+ZW5DJjXkwTiUFulzd+VSCSorVQUKu2I59K+eJ/5OU0xhIODA6tXr6ZPnz5ER0eb/qZFRHKYHI/parVaujgOJPp9zOdP/gTl6pTit4u/mGlWEBsby8CBA7l69SqxsbHcu3cPW1tbnj59SvPmzfH09GT06NH68y9evMiQIUO4evVqmnGCgoJo1aoVjx8/zlLc8eXLl1SvXp2AgADKly8PpH6PHB0duXjxIk5On67Ay04++gxPnz4d7llgG+OATmv4r4tcKcP1pzYMXtQnzdhSqZSbp4K55H+diDcfkEgk2BfMQ8Pv61CuTqlPxusHDRqEVqtl7dq1xrw1EZEvRo6LLsBmLz+2eO0yuleXhY2acRuG0KiDYeYwkFpd9jT4BZHvotFpddjktiJZmUDX7l2pXbs2169fZ9KkSXTt2pVHjx7RvHlzRo8ezdChQ9OMs27dOk6fPs3GjRvTHO/WrRvVq1fPcHMtM3x8fNiyZQsBAQH6TAgPDw9Kly7NmDFjDH6P5iYxPomODn3QJBpv32lhrcbv7VqU6v+t/pVKJTExMUaVKcfExFC1alWWLFlC+/btjZ6XiEhO80VSxr4d2PLzJ30CuUJO/Xa1DLomOiKG7Qv30q2wB8MbTWGW20Jmuy9mZNOpDK8+jaaFXChXrAIODg64u7tz7949mjZtysSJE9MJLsDt27fTbaI9ePCAY8eO8eOPPxo0t8GDByMIAqtWrdIf69SpE35+fgaNk10E7Ljw2YyGLI3jdzHN1wqFwug8YRsbGzZu3MjgwYN59860Vu8iIjnJFxHd3Pns6Dj8O6OMtFUWSjyX9DEo0f7AmmN0K+zBHzN8iXgTSWJsInFR8cRFxaNJSEGGnEenX3L054t8k78Nt4Nv06xZM2bNmoWHh0eGY2a0iTZv3jx++uknbGwMM2OXSqX8/vvvTJs2jVevXgHg7OzMw4cPefHihUFjZQeBp2+blFcNqRtrtwJC0hxTKBRG5Qd/pHHjxvTs2RMPDw+D2gCJiHxJvlh5T7853anvWguVAcKrslTSbWIHWvRskuVrNnvtxGfEepITNZ800NZqtEiRcXnPTfrXGc4vv8ylb9/MvVv/udJ98eIFf/31F8OGDcvy3P5OhQoVGDJkCJ6engiCgEKhoF27duzatcuo8cxJlInxd/0479JufMnlcpMr4mbNmsWDBw/YtGmTSeOIiOQUX0x0JRIJEzcNx/Wn1ijVijSdFP6JylKFUq3kR+8+9JjiluV7nNh6hq2/7DKoW4EmUUMeIS/RVzK/Jjo6mvDwcIoXL64/tmDBAvr166d3ITOGCRMm8ODBA33mgjkNcExBZZE11zhDxzElvPARtVrNn3/+yahRo76KpwIRkc/xRQvZJRIJA+f9wMaHy+gyph3Wua2wsFFjZWeJlZ0laisVDoXy0M+rG76vV/OdAbFgrVbL8uHrjWoPk5Ks5cCa4/o0p39y584dypUrp9/0CgsLY9OmTYwaNcrge/0dlUrFmjVrGD58OB8+fKBFixYEBQXx5s0bk8Y1FftCuZBITcutlsll5C+RL80xc4guQLVq1fQm9Tqd6W5mIiLZiem7I2bAoWAe+vzcjZ7TOvMs5CWxH+KQSCXYOdhQtHxho0p9Lx+4gcbI7IhUBPb6HKL/nPQFDv+M53p7e9OtWzccHR1NuF8qDRo0oEOHDowbN47ff/+d7777jo0rNlGhQGViPsQhk8vIlc+Wem1rYudga/L9MiMsLIx9+/axZ88eLp+8SmUaGtxG/u/oBC2lGhVJc8xcogswbtw49u3bx/LlyzPc+BQR+Vr4IiljOcGIxlO4fc60UlorO0t2hK1BoUwb+hgzZgwODg5MmDCBDx8+UKpUKa5fv55hoYQxREdHU6liJSYNnE7An5d5+yQctUqFJkmDRJrat0yn1VH3uxq4jW6v711mKnfv3mXPnj3s2bOHkJAQWrdujaurKy4uLkxuOZcH1x8bPbaVo4qL2mOUL18eDw8POnToQJUqVdizZw/lypUzy/wfPHhA/fr1OXv2rNnGFBExN/9Zn7y7lx6aPIZOp+Plvdfpjv99pfvR0NxcgguARkIjlQs7Zvrz7lEEEp2EpIRkdDoBbYqWxLgkkhM1nP3rMuNazGLpj6vTlOtmFa1Wy7lz5xg3bhxly5alRYsWPHv2jOnTpxMWFoavry/du3cnd+7cdJvYIV31WFZRW6kYs2woz58/x9PTkzVr1lC0aFEiIiJ4/Nh4If8npUuXZtasWfTq1cukrAgRkezkP7nSjY2Oo0PuPmDiO7Oys2TWnvFUblyesGfviHofg6DT0fb77zh42h9HR0ecnJw4c+YMZcuWNc/cI+PwrDmOd68isuzGpbJUUb9dTSZtGfHZUEx8fDzHjh1jz5497N+/n/z58+Pq6oqrqys1a9bM9HpBEPil56+c333ZoB54KgsljTrVY/zGIWnGvn//Po0aNUKj0VC7dm0GDx5Mu3btTDZWFwSB1q1b07hxY6ZOnWrSWCIi2cF/TnRfv35NF7cuWFwsACbEIAGkSgnFGxbkfUgUCZGJ+gyLmOgY7PPbk6+mHW/lL9ixe7sZZp7KyCZTuXf5IZokw1ZqKksV3Sd1oPukTulee/fuHfv372fPnj2cOHGCmjVr4urqSvv27Q0qM07RpDC7qzdXDwdmqQuEylJFHZdqTN46MsO86jp16rBw4UJevHjBqlWrePjwIf3792fgwIEULVo0y/P6Jy9fvqRGjRocPHiQmjVrGj2OiEh28J8KL5w+fZpatWrR2qW1Qfm/maFLFngc8IrosFg0SSnERycQH52ADDmRYVHcOfCEKH+Y1W8+jx49MnlT6N6Vhzy49sRgwYXU/nHb5u0hOSl1Dg8ePGDhwoU0btyYUqVK4e/vT6dOnXjy5AknT55kxIgRBvs6yBVypu0YTZ9Z7tg52GBhk3GLdwsbNXZ5ben7c1embh+daSGLQqFAKpXSo0cPAgICOHr0KNHR0VSvXp127dqxf/9+o8ImhQsXZsmSJfzwww8kJIiNLEW+Lv4TK11BEFi0aBELFy5k48aNtG7dmnm9f+PElrNmaYj42ftLBaIs3nEr6SKOBR0pUaIETk5OlChRIs1HgQIFPvn479XNm4AdF9DpjPuRKC0VFGqWh7MPT/Dhwwfat2+Pq6srzZo1Q63OWCCNRavVcuXgTfwW7+Pl/VCS4pNQW6koXKYgbqPaUqtNtUy9hD/SpEkTZs6cSdOmTdMcj4+Px9fXl1WrVhEaGsqAAQPo378/BQsWzPL8BEHA3d2dIkWKsGjRIpISkjjle55jmwKIeheNoBOwtbfhmy71aflDEyzN7FgnIpIZ/3rRjY6Opm/fvjx//hw/Pz/9htbx3aeY23k5ZI/lbjrUViq6jHOlQfcaPHnyJM3H48ePefLkCbGxsRQvXjydGDs5OZEvT34GlBttYpobWORVMnnvMGrXrv3V9xNr0aIF48ePT9M5+J/cuHGDVatWsX37dpydnfHw8KBFixZZem/v37+nRuWa9GjQn+CjD5BAunJmtZUKQSfg3K0hvWa4k7ewvalvS0Tkk3w1ohsfk8DzOy+Ji4pHoVJgXzA3hUp9Ou/19u3bdOzYEWdnZ5YuXYpKpeLly5fMnDmT3bt300jhQlxYAjn1DpVqBdterU7j//p3YmNjefr0aToxfvLkCe8eRlAusRZyTNtIkivkHEzaatIYOYWLiwtDhw7l22+//ey5MTExbNmyhZUrVxIdHc2gQYPo27cv+fLly/Sa14/e4FlvPDHhsUg/E0mTyaVY2loy/9g0SlUrYfB7ERHJKl+8OOJJ8HN2eu/n1LZzyBQy/eN3SnIK+Uvko+u472nSpX4aS0CArVu3MmzYMBYuXEjv3r0JDw9nypQprFu3jkGDBnH//n0iX8UwrMFkEk00a8kqEqmEQ+tO0Hl0xlaD1tbWVKpUiUqVKqV77crhm8x2X0x8tGkxSG1KCtoUrWmdd3MIQ4ojbGxs8PDwYNCgQVy5coWVK1dStmxZ2rRpg4eHB02aNEkTuol484HhDacQ/yHhs4ILqR1NYiJiGeM8g+VX5n72D76IiLF8sefPxPgkprT7haF1J3L0j9MkJSQTH52gd/9KSkjmechLfhuyhi6OA7lxIrVRY3JyMsOGDWPKlCkcPXoUNzc3vLy8KFu2LLGxsQQFBfHLL7+QO3duSlQqyhz/SVhYq83RIeizJMUn47d4v1GlqBZWKrM02ZRIpUhlX3dY4SPGuIxJJBLq1KnDunXrePLkCQ0aNGDIkCGUL18eb29vIiIiAJjVeRExETEIBsbH42MSmPzdHNG1TCTb+CL/OxPiEhneYDI3jgelJv1/YrMr4f9sGKe0m8vetQdp2rQpT58+5cKFC5w7d45SpUoRFBTEhQsXWLFiRbrNlsqNy/PrhTmUquGEykKJTJ7+LUskoLY2z0ZTXFQcYU8N93d1KGyPxsAuuRkhU0sJDAz8V4iGqS5juXLlYujQoQQFBbFmzRquXbuGk5MT3b//gXtXH6X24zMQQScQ/voDwWfvGj0vEZFPkeOiKwgC013n8fL+a4M6RyQnJLN04O80rupM586dqVevHvv27cPf359t27ZRunTpTK8tXrEIPlfmsfzKXFr1ccbKzhKJVIJEIkFlqaS2S3UmbR6OXGn6I7lMLiPmQ6zB1xUono+i5QuZdm+FFJvyKjp37oyjoyO9evVi8+bNvH371qRxswtzeS9IJBIaNWrEpk2bePjwIeq3tmiSDDc6+khSfBLbF+41eV4iIhmR4zHdW6dDuHPpgVGteqTIuPhHIKdvHGft2rU4OzsbdH2xCkUYtXowo1andmr42KcLUivBTC2m0M/TyKyBruO+Z9HAFSTEGBeDlkplLN+9GIeCeXj8+DGHDx9mx44deHp6UqpUKVq3bk3r1q2pX7/+Z5tm5gTmNLz5SJ48eXgbGInEhPWEIMC1wzeJi47HytbSjLMTEfkCK93tC/dkqZopMyxSrPH7Y5fBgvtPJBJJGnG0tLUwS05vSnIKtg6GdY74SIPva6cz18kqcqWMmq2q4lAw1c/XycmJH3/8kd27d/P+/Xu8vb2RSCSMHj2avHnz4urqio+PD48ePTLqfuZALpenaT9vDuKjE9Ca4ecoV8r58CbSDDMSEUlLjopueOgHbp4INimFSwL89dtBs83pI1KplFqtqpq84ZavWF7yFXEw6lqFUoGX/0SDq+mkMim58+di7HrPjMdVKPjmm2/w8vLi6tWrPHz4EHd3dy5dukTDhg0pXbo0Q4YMYd++fcTGGh4aMYRnIS9YPGglHez78HRdJDt/Ok572x+Y3mE+wefumhyLToxPQmaGjUSJVGJwu3kRkayQo6IbfOYOcoVpEY0UjZbLB66baUZp6TLWFZWV8RtqaisV7uO+N2kO5eqUZva+Cait1VnKZpAr5eQr6sCSs7OxzZO1FXbevHnp3r07GzduJDQ0FD8/P4oUKYK3tzeOjo44Ozszd+5cbty4YTZT8CfBz/GsPR7P2hM4suEksR/iUg2JhNTN0gt7rzKxzWx6lx7C9WO3jL6PlZ0lKRrTK2J0Wh1WdmJoQcT85KjoxnyIM6qW/p+YmsuaGVWaVMAmt5VJYzR1b2DyPKo5V2LZpV+o374WCrUCpTp9yMHCWo3aWk27H1ux4tp8o1fXEomEqlWrMn78eE6cOEFoaCijR4/m1atXuLu74+joyA8//MCmTZuM3pALPH2bYfUn8/D6Y5ITkjPMKhAEgcS4JEIfv2Wa6zwObzhp8H3Cw8PZ+ZcfOrkZyhAlEuwLGt96SUQkM3K0Iu3g2uP4jFhPYpxpj22589uxPXSNmWaVluCzd5jQerZB9oWQamE4eq0nzl0bmnU+H8Ii8V99lAv7rhEbGYdMJiVXfjtc+jXnm871UFmYbuzzKZ48ecLhw4c5fPgwJ0+exMnJSb8h16BBg89uyD2+9YzhDScb/DNXWSiZ4juKem0zdwkTBIFbt27h7++Pv78/wcHBODs74ySrwN2DT40uqZYr5LQd3JKflvYz6noRkU+Ro6J7Yd9V5v7wq8kr1WIVCrMm2NtMs0rP2b8uMbfnr1kWXpWFkn6/dKfjsO+ybU5fAxqNhosXL+pF+P79+zRp0oQ2bdrQunVrSpYsme6a/hVH8PzOK6PuZ2Gjxi9sbZpqxLi4OI4fP46/vz8HDhxApVLx3Xff8d1339GkSRNUKhXR4TF0K+JhVIYMpJZz/x60mIIlCxh1vYjIp8hR0U2MT8ItX3+TshdUlkp6zXCny5iMS23NRfDZO8z94TeiwmNIikvMcPPPwkaNUq1k+IpBNO5YN1vn8zXy7t07jh07phdhKysr/SrY2dmZ13fDGO08w+ift4W1mqHLB1CyYRH9avb8+fPUrl1bL7RlypTJMPa99MfVHP3ztMGNSZVqBTVbVmXWnvFGzVlE5HPkuOHNrz/9zoE1x9EaudmhUCvY9nJVljeNTEEQBILP3mX7wr1cOXgdkCCRgFaro1LDcriPc82SheH/D3x81P8owJcvX6aOZVOk79UmdfDQKBO5m+sK3377Ld999x0tW7bE1vbzDTlTNCmMazGLe1cfkZzFJxaFSkHBUgVYdukX1GbwYxYRyYgcF92X91/jUX1slv8j/B2ZXEbjTnWZvHVkNszs06Ru9CSi0wlY2liYxSfhv0xsbCyd8vRHZ0Qp7t+RK+Wsv7uUAsUzdxPLjOTEZH7uspibp25/1vRIba2mZJVieB2YJBZEiGQrOV4cUbhMQbqMbW9wLqpEArb21ngu6ZtNM/vc/SVYWFtgZWspCm4WkEsVZqnvU6oVRIfHGHmtkpm7xzFt+yiqOldMzQSxUOoLD5X/lxlStk4pxm8cwqJTM0XBFcl2voi1Y6/pXYh6F8PRjaeylIAuk0uxzm3NolMzyZ0/Vw7MUMRUtJoU87imSSRZbtCZEVKplNptqlO7TXXePH3LJf/rRIfHoNPqsLW3oWarqhQtZ5rnhYiIIXwR0ZVIJAxbPoBiFQqxYaovWq02Q78BuVKOVCqhYsNyjNs4RF/iKvL1Y2FjYZZyXJ1Wh3UmpvCGUqB4Plx/amOWsUREjOWLd45I0aRwfs8VfOfv5vGt52g1KSCRYJ3Lijb9nHH9yYX8xfJ+ySmKGMlPdcZz/+pjk8awzm2FX9jaf4Upu4hIVvjiovtPtClapDKpGDf9DxDgd4GF/X2Mdk1TqhV0GedK7xnuZlYRPpAAAAE5SURBVJ6ZiMiX46trMSCTy0TB/Y/QwLW2SV0sBAHaerQy44xERL48X53oivx3kCvkeCzshcrScO9elaWKth4tsXfMnQ0zExH5coiiK5KtuPRrTscR3xmUIqi2VFGzZRUGL+6djTMTEfkyfHUxXZH/Jn/9eoA1EzaBRJJpYczHbJU2/ZvhuaSvWOkn8p9EFF2RHCPyXRQH1hxnl7c/yUnJ+s4dgiAg6AS+Hdgc1yEuOJbI/4VnKiKSfYiiK5LjaLVaHt18StT71CIFmzzWlKpWPI2bmIjIfxVRdEVERERyEHEjTURERCQHEUVXREREJAcRRVdEREQkBxFFV0RERCQHEUVXREREJAcRRVdEREQkBxFFV0RERCQHEUVXREREJAcRRVdEREQkBxFFV0RERCQHEUVXREREJAf5fzgGR5cVoftMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"initialize()\n",
"observe()\n",
"figure()\n",
"print('')\n",
"\n",
"while 0 not in observe(): # This while loop breaks when homogeneity is achieved\n",
" update()\n",
"observe()\n",
"figure()\n",
"print('')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I noticed that the code takes forever to run, and thus if we run Monte Carlo simulations to get the average number of timesteps for homogeneity to be achieved, it will take a very long time. \n",
"\n",
"Nonetheless, here's the code for it:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Monte Carlo Simulation\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"num_timesteps = []\n",
"timesteps_list = []\n",
"\n",
"for _ in range(100):\n",
" initialize()\n",
" while 0 not in observe(): # This while loop breaks when homogeneity is achieved\n",
" update()\n",
" num_timesteps.append(update())\n",
" timesteps_list.append(len(num_timesteps)*2)\n",
"\n",
"print(timesteps_list)"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n"
]
},
{
"data": {
"text/plain": [
"(19, 14)"
]
},
"execution_count": 103,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Deterministic method \n",
"\n",
"# Run the simulator for 100 steps and show some of the steps.\n",
"initialize()\n",
"observe()\n",
"figure()\n",
"print('')\n",
"\n",
"for i in range(10):\n",
" update()\n",
"observe()\n",
"figure()\n",
"print('')\n",
"\n",
"for i in range(230):\n",
" update()\n",
"observe()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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