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Created December 2, 2020 14:44
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CS166 - MFA for network models
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. Experimentally confirm the theoretical threshold for when an epidemic will persist in a random network — equation (18.28) in the textbook.\n",
"\n",
"a. Do Sayama Exercise 18.5. You will need to modify the `update()` function from code 16.6 (combined with the `initialize()` and `observe()` functions from code 16.5) in order to do this. The required modification is to turn the asynchronous update function from 16.6 into a synchronous update function — so, rather than selecting nodes at random, make sure you loop through all nodes and neighbors in the graph."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"from pylab import *\n",
"import networkx as nx\n",
"import random as rd\n",
"import numpy as np\n",
"\n",
"def initialize(n, p):\n",
" global g\n",
" g = nx.erdos_renyi_graph(n, p, seed=1889, directed=False)\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",
" nx.draw(g, vmin = 0, vmax = 1,\n",
" node_color = [g.nodes[i]['state'] for i in g.nodes],\n",
" pos = g.pos)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# def async_update(p_i, p_r):\n",
"# global g\n",
"# a = rd.choice(list(g.nodes))\n",
"# if g.nodes[a]['state'] == 0: # if susceptible\n",
"# b = rd.choice(list(g.neighbors(a)))\n",
"# if g.nodes[b]['state'] == 1: # if neighbor b is infected\n",
"# g.nodes[a]['state'] = 1 if random() < p_i else 0\n",
"# else: # if infected\n",
"# g.nodes[a]['state'] = 0 if random() < p_r else 1\n",
"\n",
"def sync_update(p_i, p_r):\n",
" global g\n",
" for a in list(g.nodes): \n",
" if g.nodes[a]['state'] == 0: # if susceptible\n",
" for b in list(g.neighbors(a)):\n",
" if g.nodes[b]['state'] == 1: # if neighbor b is infected\n",
" g.nodes[a]['state'] = 1 if random() < p_i else 0\n",
" else: # if infected\n",
" g.nodes[a]['state'] = 0 if random() < p_r else 1"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"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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\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": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"MFA prediction: q_eq = 0, 0.8990\n"
]
}
],
"source": [
"n = 100\n",
"p_e = 0.1\n",
"\n",
"initialize(n = n, p = p_e)\n",
"\n",
"p_i = 0.5 # infection probability\n",
"p_r = 0.5 # recovery probability\n",
"\n",
"observe()\n",
"n_steps = 1000\n",
"\n",
"states = []\n",
"for step in range(n_steps):\n",
" states.append(len([x for x,y in g.nodes(data=True) if y['state']==1])/n)\n",
" sync_update(p_i, p_r)\n",
"observe()\n",
"\n",
"plt.plot(list(range(n_steps)), states, 'black')\n",
"plt.show()\n",
"\n",
"s = (n-1)*p_e*p_i\n",
"print(f'MFA prediction: q_eq = 0, {1-(p_r/s):.4f}')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"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": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"MFA prediction: q_eq = 0, -0.2626\n"
]
}
],
"source": [
"n = 100\n",
"p_e = 0.1\n",
"\n",
"initialize(n = n, p = p_e)\n",
"\n",
"p_i = 0.04 # infection probability\n",
"p_r = 0.5 # recovery probability\n",
"\n",
"observe()\n",
"n_steps = 100\n",
"\n",
"states = []\n",
"for step in range(n_steps):\n",
" states.append(len([x for x,y in g.nodes(data=True) if y['state']==1])/n)\n",
" sync_update(p_i, p_r)\n",
"observe()\n",
"\n",
"plt.plot(list(range(n_steps)), states, 'black')\n",
"plt.show()\n",
"\n",
"s = (n-1)*p_e*p_i\n",
"print(f'MFA prediction: q_eq = 0, {1-(p_r/s):.4f}')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"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": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"MFA prediction: q_eq = 0, 0.3719\n"
]
}
],
"source": [
"n = 200\n",
"p_e = 0.1\n",
"\n",
"initialize(n = n, p = p_e)\n",
"\n",
"p_i = 0.04 # infection probability\n",
"p_r = 0.5 # recovery probability\n",
"\n",
"observe()\n",
"n_steps = 100\n",
"\n",
"states = []\n",
"for step in range(n_steps):\n",
" states.append(len([x for x,y in g.nodes(data=True) if y['state']==1])/n)\n",
" sync_update(p_i, p_r)\n",
"observe()\n",
"\n",
"plt.plot(list(range(n_steps)), states, 'black')\n",
"plt.show()\n",
"s = (n-1)*p_e*p_i\n",
"print(f'MFA prediction: q_eq = 0, {1-(p_r/s):.4f}')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Ul8tFcnIyv//+e9DHy8nJYe3atSxfvpzly5ejqiq9evWiV69e1KtXj86dO7Njxw6qVatWYN9WrVoxZcoUWrduzenTp6lRowbr1q0rNCTPZrNx//33c/r0aRYsmEM54yfgWHHx1cJqPGgAHWjreuNkNeULHf8ff/zBG68+wpKZHgz6Ur4UtU2Q437O+zMlJYU9e/bkPXbv3s3+/fuJjY3NE+JLYly/fn10umunupnwnEbYZoB9PiBdvNmpF298KmjrIIWNBEP3a64qW5noXqPs37+fLl26cOTIkaAsDyEEH3/8Me+++y7Tp09nxYoVuFwuvvzyyxCOtoQxqBng3AQik9OnTzPhvcls3aXl/Q+/CsjaLfI8QnD48OE8K3j16tVUqlSJhx9+mF69etGsWTNk+Z/FtJtuuolnnnmGXr16AdC0aVPMUjj3dn2Qzcu2Y82yodHIRMSF03NYV24a1oXPJ73HzR1m07i+EVn2paCOBqQIpNi5SNoaec8mJyfz/PPPs2bNGt555x32/f0mY59QsZhLK7pAB6ZByJGvFLuVqqocP348nxDv2bOH06dPU7du3XxCfLVcFKp1BuR8AKhAMVmHkhnkCkgx3yFp4q/U8EqkTHSvUfr370+HDh149tlnAz5GTk4Ow4cP5/jx4/z000/UqFGD9PR0GjRowNq1a2ncuHEIR5wfIQS4dyOs34BzNUi6vKm31eZAr5PZuE1Plz4zQdcs5Bfuxo0bueuuu/jiiy/4/fffWb58OVlZWfTs2ZPevXtz44038vjjj9OnTx/uueceDm87xlv3TeTM/nPodfoCXY8NZj0SKp8sP0+VWufRanyPNlAVyEjR8eLdrbnu1h5kR6Yy4eN3GDZsGA888AAdO3ZEkiQO73qZSPlrILCEjuIxIMUtQdIGFopnt9vZv39/ATG+0i4KNfcLyJ0K2H3cQwtyNFLsIiRNXKmMyV/KRPcaZPPmzdx5550cPnwYkymw4i379+/njjvuoFOnTnz66af5Qq4++eSTvEWp0kAINyJr7MXptxOvRVIQRREgGdCYeiBFvefz4lNJqKpKu3bteOqppxgyZEje88ePH89LUV63bh0mk4kWLVowsPs9/PT6Mpy24i3XDr2yeP6z05gs/vte3U5YPCOOyW9UBCTqX1eb28f25Na7bqFq1aps27aNsLAwhPMPRM4E8JxBUZ1o5BBdnrqWyLFzQnOsy7jcReEV4t2cPnWQGtViqFO3IdVrNqNx42YhcVGo9t8g6zn8vylpQVMDKW7xNZGVVya61xhCCLp168aQIUN48MEHAzrGnDlzePzxx3nvvfe4//77C7zudrtp0qQJH3/8Mb179w52yPkQQkFkjATXVny/OIygb4EU/TWSFHxthhkzZjBp0iQ2btyYz51wOU6nk4ceeoijW09iPBhbYgwvwMeLj9CwVeBFaey5MgOaNsblkJFkCafqQGptZdXG3wqkXAv3ftYuuZf6dWxoZSegJTZGQpYCWWwzIsV8haRvG/DYS0KouQj7L2D7CpRzqEJ7MapDYdvecD6ems2iZWfyuSguWca+uCiEEIjU7qAkBjZAyYIUORHJ2DWw/UNIWWnHa4yVK1eSlJTEsGHD/N7X5XLx3HPPsWTJkryShIWh0+n44IMPGD16ND169AjpAonIeRfcf+OfNeJAcWzn2NphrFzQBZ1BT3zlGG64qz3xVfyLsMjNzWXs2LH8/PPPRQougMFgoGXzlpybY0P1we6oUttBrUa+TmkLRwA33JLJqp9iEKpAj4HIk3FkXsgmrlJMvm3PpURx8+B9aDQatFota9asoVxcOGraAIRqpZi3lg+7XbDt8PXc0LN0BFcIgbBOgtzJeJuLe29KsqTARR1t2yyHWV+aUKUOHDo3iq07stm9ezcff/yx7y4K9w5Q04IYqBVhnXZNiG5ZTuA1hKqqjBkzhrfeesvvYjNnz56la9euHD9+nL///rvELKpbbrmFSpUqMW3atGCGnA+hZoBtDgj/xUkjO6lRayvr5ixh/sTFfD12FsPqPe6tFrZqd4Fi7UXxzjvv0K1bN9q1a1fittlHHT6nB7fplkOwbmdzmErX2zPyPZeTYeWTR/75DtxuNx9++CGNGzdGo9EwePBgLBYLsiwj6eryzuRmZOdqcDhLunS1gJEc6RmGPLiEr7/+OrjBF4IQApH1PFin4L3JFjULECDsyOoZGlZ4k/sGN2bixImsXLmS8+fPc/jwYd544w3q16/P33//zdNPP03lypWpXr06t9xyC2PGjOH0wdcRapC+bvcehOdMcMcIAWWW7jXETz/9hCRJeVljvrJ27VqGDBnCY489xosvvlishXcJSZKYOHEiN954I4MHDyYqKirAUf+DsM0jz7wJAFXAzUPTmPVxhbxauNtX7mb/xkN0GXQ9T00eWWzZxBMnTjBlyhR27drl0/n2LTvqc83wyFgPemPwnrjI2PwnVBWVbSt2kX4+g+17t/HEE09QvXp1XnvtNdatW0d2djYajQZJkvj++++Z8cOf9Og5mfk/DOOdV2rhcpxHp5XQ/DvGV4oAywOUL38vq1d3p2vXrmi1Wu67L3RdJkTOexf99n7cZIXN636KnZcXSxsfH0+3bt3o1q1b3maXR1Hs3r0bs/4okhTk5y/pwLMftFWDO06QlFm61whut5uXX36Zd9991+eVfCEEEyZM4O6772bmzJmMHTvWJ8G9RNOmTenXr19I4oCFEGD7lmBW3o0mwW0PpiL/a/HIYXWydvafvDPkk2It3ueff54nn3wyXxlLl8PF1t92svK7dfw6fS1/LtxCZkoW544nk3XO9yyw0o2KEtzbfQQjRozgnXfeYdmyZZw6dYp27dqRlpaGRqPhyJEjPP3008yfP58J731OhZpPIYc/g9UmkAr7zkU6WL9EXGhHnQo/sXrVMsaMGcOsWbNCM2LPKW9SiD+Cm7ezDZFVfI1nWZapU6cOt99+O6+99hqx0SGoBywUULODP06QlFm61wjTp0+nWrVq9OjRw6fts7KyGDZsGOfOnWPr1q1UrRrY3fvNN9+kSZMmPPzww8FVGBNZoGYFvv9FjCaVyFgPGSn5/cxOm5O/lmznxw9+YeBzBUtPrlu3ji1btjBz5kzAW+hm4WfLWf7VaiRZQqgCIQSyRsbj8lC/TR1kje83qKw0LS6nhN4QnLWVlV7wknM7PRiS9OxP2p8XrbJ582befvttfvzxRwCeeeYZPvroI5xOJ1u3bmXu160Q2a8QGw1FmuuXOlHYZlMvfgurVi6ge4/b0Gq1DBgwIKj3IawzKSoqxYe9L071TyNpCyatFE4IIlsk2ZumfZUps3SvAWw2G2+++SbvvPOOT9vv3r2b1q1bU7lyZf7444+ABRegQoUKjB49mueffz7gYwCg5hCKe7iiSIRFFh4D67Q5mfPuAjxuz7/2UXjqqad47733MBqN/PDWfB5s/DS/fPkb9lxHXpEbh9WJLduOy+Fmz/oDJYaIXc7WNeGIILN0bbkyvy+MLvQ1jdDmCa7L5WLXrl20bt2atLQ0UlJS6NixI/fccw8vv/wy82d2R+uah+TzrMIJniM0KD+B335dzOOPP87PP/9c8m5FIIQDHD9RbGJCiSgI2/e+bx6q5IYiMgOvJGWiew3w+eefc9111/lUfOa7776je/fuvP7663z++echKfz99NNPs3379uDSciUD3vX54JAkgdNe9M9S8ShsWrwt33PTp08nLCyMAQMGMHn0DGa/swCXw43H5U+Tx+I5c9TIyYPBWUmSBOt+iSr0NZfjHwHbtWsnLZrXxmJMRyuloNepPP/88/zxxx9oxBFaN9qB/9N6N3iO0qTWJpYvX84jjzzC/Hk/c/7kBU7sPc2FM6kFbmZF4tqON805GDzgWOb75qYhQLANRw2gK1hT+kpTFqd7lcnIyKBevXps2LCB+vWLLo7idDp56qmnWL16NfPnzychISGk45g7dy4TJkxg69atPvX4EkKAZy8oSSAcCMkEmU/hXzfbgrhdEnc0bIzTXvQYGrary6eb3gbyF2k/ty2dyc/MwGkrndY3Hftk8uwnZwJLjnDB0u9imfRKlSK3+XrfW1Sp9jfZ5z7EbMwFSYfT6UCvk3CJprw64QyPPlCF2pUPAAHW35UiOXL6e6a89D27Vu3HYNSj0+lQFBVJlug9vBu3P96HirWKtgiFfSki62UgyHKUkhm5/E6fNhWq1VuNLeA1AyOEPYIc9kiA+4eOMtG9yowdO5aUlJRiQ7dOnz7NnXfeSZUqVZg+fXqppFgKIejYsSMjRowoNkbYGwS/EKxfg8jAO1lSAc3FmrCBz8FVFbasiuC1YTWL3c5oMfDCzMexRJqZMW862c5Mpk6Zyl0VHiQ3o/Tq0soawXvzjlG/uc2vSAZVgcw0LQ93r0dWWmEx0YKqdZx8sfIIOr0eWSooLEKAzQ5mczDxIWC3aZj4TC02LLEUGi6n1WmRNBKtbmzG2FlPYrIUtO6FfSki++XgawBLJuTyvkWaKIrC1jU3k1D3KCZjIBN0I1K535HkmJI3LWXKRPcqkpSUREJCArt27aJKlcItoBUrVnDvvffy7LPPMnr06FItLrJlyxb69+/PwYMHCQsLK/C6cG5CZD7qreIUyKp1CdhzZV4eWpO9mwue+9+YI0wIIbDmWEno2JDmXZry8ydLsOeURt2CfzBZFCYuPErlWk4MppIvHY8bbDkanrmtDmeOFu6e0OpV3p17jIR2IWrBXgJb14Tz8j3FF8TXG3VUqFmOT/58i7Co/PWKhfNPRObjIHKDG4gcj1zuzxI3O3nyJH379uXE8f1sW1WTOjX1SH7NqIwQ+R6yqVfgYw0hZT7dq8i4ceN44IEHChVcVVUZN24cw4YNY+7cuTz77LOlXs2pbdu2dOnShffee6/Aa8KxFpHx0EXrJvSCq6pea3Dv5qILkl+OLduOPceBjIZ9Gw4z6+35pS64AHarhif71mXz6nCcTgmHs3DhVTzgsEmcOmTk0ZvqFSm4AOWruK6Y4ALEVSp5AdHlcHPueDJjer+V5+s9sv04y79ezYIp53C7gv2stWC4sdgthBB89913NGrUiH379tHjxr7UbvUnkqY6UHSX5vwYIeLVa0ZwoczSvWocOXKE9u3bc+jQoQLFxNPT0xk6dCjZ2dnMnTu3VFuV/5tLhdN37tyZFxUh3AcRaQMpDbG9hC1X5qlb6nLq8NUP6fGJCi5OGlfz4BATD90biV6rQfVIyBqBLMOGZZHMnxLP0T3F953TG1Xe+PYELW8I0mr0g8TjeoZ3bOjTtgaznhuHdmbXun1cOJ2Kx+PB4/LwxIREeg3KQBtwBrkBKW4RkrZwizsjI4MRI0awbNkynE4nH3zwAU8//TQAQrXhyngfZ+b3mM2mQtwxWkAD2npIES+Uas2JQCgT3VLkyPbj/D73T1IS0/G4PERXiKRNzxa06d2ce+65hyZNmvDSSy8BkHYug8WTV7B40q9kpmYjSzKmMCP1W9dmwHP9aHVTM78SH4LhlVde4cSJE3z/vTekR01/CFy/E4rohH+jKmC3yowdXIuD232zcv9BUCfBTlwFN3+tjCA4bycIBJIPx1BR0Rk1ZNdJYuuBzYDCTbGdKR8RhsMmk5mmxV1imi5otIJH3kyk77D0oMbtL4d2mniiTz3fd5Ao8NVXrePgi98O++RiKRRdM+TYeYW+tHr1aoYMGUJWVhYajYZVq1Zx3XXX5dvmk08+4a9N65g1/V5v9w7lAuAGKQz0bZEs9yFpawc2tlKmTHRDjOJRWDNrA3MmLCT51AVcDjfisgULU7gRWSNxzH2AlfuXYDAYmfjgJLat3I2iKKieggtRpjAjRouREe/dw41Di27oGCpyc3OpX78+CxYsoE2rmoiUrhTeHcE3hCiY0eW0S0gSbP8jnCmvVyLppK/TRTCHKXS7I50Bj6YQEaOgeODORk0Q4soV0xYI3MLFuWqHqVijPDl/CGIlf2JABaM/OsNNAzNK3jSEuBwSP0+LY/o7wc+enphwhm79MzBZ/JUQE1LsbCRdo3zPOp1OXnrpJb755huys7OpV68ef/zxB3Fx+evgulwu6tSpw/z5869oj79QUZaRFkLsuXZe6TeBQ1uO4rAWHrZ0ye9YSVeLJ9q+hKKoWLNsBYpm5z+uA3uug08emcqZQ2d5YPzgUhn/JcLCwhg/fjxPP/00638dSLAWJJIW5AqkpZ3DYrGQcsbN2p8jWPZ9bIHMs5Jo2TmHV6adRJJEvovdEqGQm3Xlfs4SElpJR1hiPFsubKEKdYgmHtnHZZI6CXau7xN8Bl8gLJkRmmLen4+pQkw5D8075vghvEak6M8KCO6ePXsYPHgwWVlZZGdnM3jwYL755ptCCz/Nnj2bevXq/ScFF8oW0kKG2+Xm+RvHsX/T4SIF93JUt0pGchbZqTnFCu7lOG0ufv54GfMm/hLscEvkvvvuw263k5q0CG8h8sBRPCrzlhpo2CmF5j2yadP9AjM/ivNbcNv3yuK1b05gDlMLXOQ3DshAqyvdxo7/RkYmmnJoVT1Rjf2L5YqK8wSd4eYvqgp7NltISQpVsXiJNx6owbLvY3E5JBz2Yj4AyQJyHFLMTCTDDZcdQ+Wjjz6iS5cupKSkcO7cOaZMmcLMmTMLFVxVVZkwYQIvvvhiSN7D1aBMdEPEl099y4ndp3A7gkmNLBmnzcm3L88h+VRKqZ5HlmU++ugjMtNPBX0sjUalVs04YmJikCSJll2aMX7JGExhvi+a1Wpk48XPT2EswofY74FUn2vMhhIhBOXcVdBFaKjZzNc6AqVdQKdwXA6J6e9UDOkxhZCY+kZl7mndiFkflyczVYPTLqEKs7dHGTrQtUGK+ggpfj2SvnnevomJidx000189dVX2O12XC4XW7ZsYfjw4UWeb/HixZjNZrp37x7S93ElKRPdEGDNsrLi27U47YH7Pf1BVQWLvghNqx2Px8PZs2fZunUrixYtYtKkSbzyyisMHz6cd999F5sjwMynyxACFEXLqVOnSEhIYOnSpXTo05Znf3yINN05tAZtib/E00eNfD62MicOFC7UFau7aNDShlzKbcz/jQYNtY01eXJUL3o/2gXFx/jR7AwN0hW8+hw2ifefrMqR3cVHUwRKVrqWuZ+VZ1CzxjxwQ0PmThuEFLsQqdwm5NgfkAxd8rXKmTdvHq1atkLxKBw5coSGDRty5MiRYutACyF45513ePHFF694M8xQUraQFgIWfLaMb8bMwlFK6aeFYY4wMS/5a/SGwqfoqqqSkpJCUlJSsY/U1FTi4uKoVKlSoY8WNadQIeZgUGO12lSeeiWFb2Z5y+pdumCEEGi1WmLC4miQ2xqdokcqRn01WhWtFm59IJXhL50rYC2mJOl45MZ65GZqruiimtGsMHvPHpJTNcyYbGLL7GoojuKn8Fqdytw9+wiLCPwmIYQ3Hri4sC1F0eNyenhrZHW2rokI+Fz+UqdFTSZtKxjvfXjXUZ67+xVyDjuQVa8Iy1qJZjc0YeDzt9GyR0KRUTrr1q1jxIgRHDhwwKdU9WuVMtENAffUepTkk6U73f83BouBW8Z0xVBRJjExkdOnT5OYmIjdehaLMQ1VyUFR9WRkh+HyRBIWFobZbMZgMKDX6/MKY6uqis1mw2q15nvk5uZitVrp1VXPjM/LExEWuFlmd6jcen8EBw6dZ8aMGcTExLB69Wrefvtt+ve7g9M/pSPsErKPRVQMJoUut2Xy9AeJBYT31GEDz/avQ26WBlW5MsKrN6osPr4HALtDxm5TeOnuupzYG1Zs/d8HxiZx+4jUgMtFOmww8/2KdLoli1qN7Hjc3jhhVfVGhrhVLZNnutj0ZX3smVc2/rlCzXJ8d+yLvL/PnUjm5dvf5uTuRGRJgkJuiqYwI6YwI49+8gCd72pf4PXevXvTv39/RowYUapjL23KRDdIhBD0NgxCKSTUqzTx4OaIvJtz4hSqqnJjlwiefSSKju30uNzeaFNJktDr4ciJMFb/VZPT56pgtoQRFhaGxWLJ9yjsOYvFgsGgQ73QHpnAVtqFEGRmy7TonkRikpW4uDhGjhzJr7/+yqhRozgw6wx7NxzM6xThKwaTwrAXztN/ZGqB11LPafni5cpsXR2BJIPLkf+GoQoVgYpTshOuj0RxBffdRcZ4+HHvvn+Orwrsdnjxoaoc/j0WVSjI4p8bitGigIDbHkxl2PPnA3YznDxo4KFuDQCoVNNJrYZ2zBEKTrvMhSQt27YKtrCGWjSmCrV9jqwIBdUbVeGrvR8BcGDLYZ7u/Apup8enMRjMeoa8fCd3v3h73nM7d+6kT58+nDhxAoPB9/DCa5Ey0Q0St8vNzaYhPvfwChVag4bbX+jF4Kevx+x6HNTz/xStLgzJDHIMUvS3fhSO9qLmfo4n8wu02sD8uy63ICdXT8dbz2Ky1ODAgQO43W6a1mxB+cQ6qO7ARM8S4WHu7v3o9IV/9pmpWpb9EMPKH2PIydRgswqsLjdp4jynOYITB524BU0QbbklWdDp5kxemnK6wGu5NomOvTPIPBJJ347lqFLOSGSsh9qNHXS6JROjOfDfjMMm8cKA2sUmlKiSQnLUSXKM6dRJa4nGo80XM16atOndnLeXvsSfqzfxaq/3kRX/PmODWc+jH99Pnwe9Rf0HDx5MixYteO6550pjuFeUMtENEiEEvfSDUJUra+kKjYrU6BCz5tiJDNfgWx9L2duKOnZuXn8qn84lXKipA3Hb9xFo+V5FkTh+yslXP9/Mj/OW0LZtW479co5od/mALTCTReHpD8/Q+daSrXCnS/DS26ks+C2KVq1aMWfOHBITE+lX+27i1ErIAZqbRrPCez8do37zginSHkVi+uxcRr2YRNaR2phMobE0HTaJdx6tzl8rSq42Z9dYaTK8GhG6KLZOOoCsakvd4jWFGxnz/ZPsTNzKjCfnE65EB5TMqDfq+OHUJNJz0mjbti3Hjx8nIuLK+aVLizLRDQFDajzChdMFp7mlSXS8xKydSUhSKpIf5RRVAR4lnPOuaVSumuBz+3WhZpF1sh8mXRKBdmy32VW+nmPiudcOcVO3nthX6Hz24xaFJAnCohTKVXJx24OpdL41s9DUVFWFpPMejp1yM+8XFwdP1mbL1t1obQZacgOaAPOEqtR28PX6Q0W+brUJWt54jl1rKmI0BJmmLCA7XcObw2uwd0vJldgA9CYdFW4OY87SHxBOib6129Gho4eIKBUJb9TB1tURJCd676ZavQbFo3pnboEqgwaym59GOCSiD1VD9QR2IL1Jz9BX7uSP0yuJjo7mrbfeCnBA1xZlohsCfpq4mG9fnVtqxbP/jSTBM59quemOvQSSuOBywbRZCs++lkjlypWpVasWtWrVombNmnn/X6tWrby42kuoqh3bqeaYA823B5JTFOp1SKa8sTLVMxrnrWCHApNFQQjoc08a9485X+QCVU6uiiTBrJ9t6KKeYfJjS4lS4vwuBaw3qrw+/QStOhddrCY3V+W9L3J54fFwLObgRNdhk3jyljqcPOh72JeKQpLpMO/NuJHrW+zHoDkGQsJgkECAyykhyXBwu4XFM6pSvcUgWvZowZie4wIOgVRRsRoyyXSmU5maQd1YI+LCWOtexIGDByhf/uq32gkFZaIbAnIychlYeWSpJ0ZcQmeUWHD4BDptEGmkUjieqD84feYcJ06c4Pjx4/keJ06cQFGUfEJ8fVs9vdsvRK8LvDuE1Q662C9YO0/m40emFlprIlj0RpUaDey8O/c4lvCij+/xSGRkQc8Baej3NyNaF+uzVWYwqjwy7iy9h5RcrOaX3xz07GrAoA9edB+8oYFfGWUGs4dXvj9MwwQnYZbi3QpOl4Zjh5qxYHpLdq0+SFaK792S/42QVVRVDXgGcQlZL1H5lii++WlqUMe5liirvRACwqPD6DGkE6tnbcBVygkSQhI07Z6Gy52NLqhvT0WnrqNOnT5FdgHOyMjIJ8hh2l/RatwEU4vBbIRvXpvHz5NySkVwwRutcGK/iZeG1OL9n44VudCm1QpiogS/zo2kVfcNKOntiCIOSZKRiojzNZoVhJB4/N0z2HI0jOhcn4wULR6PhNGs0rCVlTsfTqFRa1teOJvZpJCTq2KI8Vp8mWkadv0ZRk6m9wuMjPHQvGMu4VHFL1SqqkT6Bd99O3qjysSFx6hSx42xhG4L2/8I46vxFTlz1I3btQWhBneDkFQZOdiaHXiL2/TrXbD783+ZMtENEY99NpwjO05wat8Z3E5/LEGBryKmoiCbJVrcmo4liCm+97RWhPN3JFOfwl8WAovFQr169ahRowYdO3bE5DqELCcGfkoBH42uwpqFaXhcpbuY43bJHN9nYuFXcdz1aNEx1BqNRFSkxNyvytPp1vWESZHUNzYl0h6HwSjQ6ySQvEkI4dEKt96fwskDJj59oSqyLHDY/pk623M1bPo1ku3rwomO9zDi1SSu752N3SHYvLse1c0pzJ8SzdbVEWj1AsXjLZwjawUet8T1vbO48+EU6jYtuCjndsKy72NQPL4L2bMfn6ZqbSeGEkJ0F34dy9dvVSoQWhcsvpTJLAmdVkdsTGgK9FwrlLkXQog128ZLfd7m2M6TJWan6Qw6LJFmXJWzsO0WGAzGIn3CkgSqpJKryeKwcQeL59SlfYvga7Cu3ywxfLSCy+Uq8HC73eh0OnQ6HXq9Hr1ez+dvG7jj5sCD7H/8Ip7vJ5YvtulkqImOdzNrx/4S6zLY7Cptep7hyPGL1qYi8djAqvTvGY3JJIiK9xAZ6+HZ/nVITdLh9uGmYTCq3P3kebIiT/Ht69Uop6mAyyEXmS0nyyo6A3Tpl8GT7yWiucwkcrskRnatT9IJ32JUy1V28fX6gyX2cvttbjRfjK1SbAfmq4kxzMD4X8bQrEvjqz2UkFEmuiHG4/bw2/S1zH1vERnJmThtrnwxvKZwIxqNhn6jenL7kzdjjjQx6M67sR33EJ1dgZyMXDQaDUIIJEnC5XRzfb823PlMX3LlLEaMGMFTD5zjnjvDgx5rurU5meLtPFG9/KHT6fItogkhmPFFI4beoQRUrMVplxiQ0DifZXglMFkUXpp6ijZdi/dPutyC0xfaUL/17Lzn6tTUsWN1NcwmGWuOzGM965GcqEPx+C5QeqOCIdJAToobfJyyG0wKLTrm8tr0k3k3C4/b2yrol+mxzP60fIlF0oe/nMRtw1PQF6PRyYk6HryhQcgt3MvxtTB8URhMen48/xXm8GDbr187lIluKSGE4MBfh1k9az2pZ9M5ffI0FzKTeeG9Z+jQrw3ayxyybrebgQMH4vEovPfqB+Sk5uJ2erBEmamZUI2ImH8EVlVV5s+4nttuSiOY9HNFhemzrbz5kURCQkLeo0mTJjRs2BCjMb9Fu2LFCqZ98RDffKQNaBV+xdxovny5Mnbrlc+Zb94xm0o1XJw8ZMRh1WAKU6jdxE6/+1OpUvsfH7zNrhJR+xiXXxHrf6lChzYmPn2hMivmxvhk4f6bQITHYFLoOyyNEa+cy/e80y5x+qiRMQNr5fmE/41GK5i3dy+WEuo6TBtXgYVfx5e6qydQJFmi531dGP31o1d7KCGlTHSvEH/++SfPPvssmzZtKvR1l8vFgAEDkGWZuXPnFhs/a8/Zjpo2CFMQ6fRWq8obn1ajfJXeVK5cmZMnT7Jnzx727NnDsWPHqFGjBgkJCVSoUIGkpCQWL16MEILjW2tSqbz/P5kHb6hfbHPG0kSSBJIsUJV/xEWjVdFooVZDO0OfS6Z1lxycLkGFJsfJzvGKlV6vp2cXHTM/rcY9LRte8Sm43qgyZ+e+AuLpdnqrrj3Vt26hVqpGq3rr9QqJsEiFjr0zueW+NGIr/LPW4HJKDExojC23lG+ChbT68RWDSc9nm9+hZhP/Miivda7NW9z/Q6pWrcqZM2eKfF2v1/Pjjz/idru5++67cbuLDj8zhbdEa6gR1HhMYVVp2W44mzZt4pFHHuGP39dT29KQtqIH3eTbqXK4CWnzFbZ/cZQDK46huLwB81/P9lYN8wfFA4nHrl6+vBBSPsEFUDwyLofMwR0W3hxegx8mlsPjEVjMMnq9HkmSuP/++7F62jLxDQOSdOVtE0kSrJgbU+B5nQGq1HLywJhzhezlfW9p5/WkJ+s4fdjIvMnluO+6hrw0pCanj3i/h+1/+JZcESyqUJF1/s+MtAYN1/Vt9f9OcKHM0r1ieDwezGYzVqu1WCvW6XTSv39/LBYLs2bNKrR6PoCwL8KT8TIaOZCEDCOEj0G23I2iKHw99gcWfLYMt8uNpBa8Dyt40MgaIhua+Ct1OUtnhdGwrgGt1refTna6hsEtGwU0Nb9SGEwKg55IZuQnm7Db87+v66QehBF1VcYVV8HF99sOFOpHt1tl7mrS2KcmmOAVcYNZ5c0ZJzhz1MjU1yvidJSupStHCtQKDvSnI30Op1Tw0KBNXT5Z/xY6fcDthq9Zrt2r4P8ZWq2W8uXLk5SUVOx2BoOB+fPnk5OTw9ChQ/F4igg/M96CxtgKj+Jf1J/DKUjNikcy34nL6eaxji/w00eL8TiUQgUX8Aa4qxJZBx10Dr+TZ1+PQ2uogsC3IH0FFTXIuM/SxmnXMPuT8ujs0QVe03H1rPSMVB12a+Hfy4WzWrzZur7d/ISQcFg1vDK0JmeP61FK+TsxhRl54csniWsejqdeNjqDtsToSIFAg4b9R/ZhsxYMnfv/QJnoXkGqVavG6dMFq1H9G6PRyIIFC0hLS+O+++5DUQoGzUuSBinqS7TGBFxu36wVm13l4BEXzTtv4cYevekc25vDW04gfA0rVuDCsVQMh+pg18/hx6+qM/r22gzvVJ/7OzTg8d51+X5ieTJSvDcCl1vgcAr2H1NxX+HSl4HgcsjUkhsWKB1o0F29gtlanSA3q/DzT3ymWl6srz847TK/zY5BoyndSa7NbsMRnsPMmTMxRRtwe9wl+ncvFiVFl23m7jojsOX8/xPeMvfCFWTQoEHceuutDB7sWzdfu93OrbfeSsWKFZk+fXpetfyM5EyWTl3Jng0Hsefk0O/+HbTvcQpkGaOhMHEzIoTKr0sNvPNYJLiMyEKDXjIEFM6jXixSoKKgJf/0T3fx/M2uz6bidef5esFpImOboe4xYsyKCEnAfGkiJJXN2pXkunKQJIny8TLdDH24kHh1rN2oODffbjpQoBFncqKOEZ3rBxzzbDApqIpUai4fnUFLt6fbMX3RNCxyOHHHa+G2+5cmLySVuNrRzDo4tchuEv9FykT3CvL8888TExPDiy++iMvpZtOirZw6kEhOhpWwKDOValeg0x3XYTT/c4HbbDb69u1L1apVGfPYy3w/bj7bVuxCksB1Wa0Hc7hCtzvTuOuRdMpVcgMqqhCkp2tZ9EM8y6ZEY8vVQ/Atz3xCRUUVKkdMO0jnArH2StSn+TXf20oRHo6xj9McISYmhtdGx2LdWYV1C6P9is8Nlko1nAx5OplOfTPRG0QBn67LIZGdqWH+pHgWTY/3K1PtEgaTUjqJKhKcCT9IheaxPProo6z6aCPHNycGdMNVUBg4/hYeGvtA6Md5lSgT3SvIZ599xp6/99G6/PUsnboSIQT2XEfelMsUZkRVBTfd15n+T91Clbrezq1Wq5W+bfujPRwBKpT0jWn0Mo6wDPZbd9PI1Q6t0F01C1PIKlFddRzbeZLY1CrXvOgCJIpjHGQH4eFmTmytSMZZM0/1rXvFQsYSrsvlzZknMBjVfFlpheGwSRzba+Lle2r5Hf6l0ajoDCLkCSuSBjoOaUO9XtX48pNJ6DbHBVXDN1eXyff7J1O7du0QjvLqUSa6V5DP3pjEL+NXo9PocLuKdqRqtBq0ei3PTH2IboM7sXHRVt4a/LFfxXSEpCJJst/lCksDcfE/6eJ/QSGJQvtrhZJz4jQH5L/p3snI3GkViAzX8EiPehzfX/pZUfVbWHlv3jG/ukq4HBInDhgZfXsdv9wFJouCKUwhM1VbIKQuWFRJ5XTsPtrVv57ULbkoAXYHAZC1MudrHGbDtj8ID/cmCl1KPtr6607Sz2ciayRiK8Vwfb821EyoHqq3USqUie4VYutvO3nttgl+FcMxmPU88NZgvnlp9hWr1XutE1fRRVwFN8cPmNDqBKoCsuwtzi4UQhICdYajHBI7GT44golvxhNmkdm5IYxX762JsxRTZvVGlVnb95dYbawwHHaJ5T/EMvnVyj7vE1POzdgpJ3jjgVpYs+WQCq9AIMW5UWwCjS04f7jBbCCspYwzNodZ389mzQ/r+fH9RaSfz59mL2tkdHotVepXYuDzt3HDndeh0V57XYPLRPcKcO5EMiObjsZh9V84NVoZSZbxFGMZ/68ga1S635HBsx8ncva4npOHjFizNRjNKuWruti5IYzvJ1YIqpaAR7g5rt1HRAMjN3dL59WnTXllEZd+F8OkVyv7HBfrLzcOSOfR8WcxhwVmFTps3voWvvhpq9V18P78Y0TEqKQkaXiuf22yM7QhTdMWkopbcqFXg8tE1Gg13PvGXXy54BNiTlVFWKUSC0oZLQbqt6nDuF9ewBR2bdVtKCvteAWY/9GSgEXT22X4GvARXAPodHD7CG9bpMq1XFSuld/dUqGqi+8+rBDUOSRknDo7e/cepWXDcNweE0Zg65pwFn8bh6qCP+U4/WHAqAsBCy54Lf5nJp7h8E4zOZladmwII+VswVjq6vUcfLT4CCaLiixD+SoqX/1xiPVLI/nx83KcO23A4+bi4lwQxWoMBiLDIslODbwYOlyssudWqXK+AakpaUg++IcdVicH/jrM6K6v8/GG8egN106SRZmlW8o47U7uLPcgDqvjag/lP0/NhnYmrz5c7DbjRlTnz+WRARXhFkKg4m3PrqLiKnecH5d42Lg4lu8+qFCqroU6TW18+PPRoDoEAwjVW5HM7ZbRagV7Nlv4aVI5dqwPQwgJc7jC9D8PEBGjFFnu8theI+88Wo0zR4O3EIVORXIH97kZzHriq8Rx/uQFv40XvUlP57va8/y3jwU1hlBSZumWMn/M+yugUoj/i2h1Ktf3yeK24amUq+xCbxTYc2WO7jXxy/Q47njoQonHGPxkMltXR+B0+P+hS5KEBg1c7OmlSanLgx1kJIlSCxeTZUHl2k4GPHqhxNq3viDJ3toMl+KlW3TKpVFrG/u2mHnzwZrcNCAdg1kttr5w7SYOwiJDM7uqVKc86aeycNoC76hit9k5eywJEUC4o8vuYt2PGxn5/lCi4kvunnwlKBPdUubojuPesLAyikSjFQwdfZ5b709FksB8WV+ziGiF+Epu2nbPRudD1nGNhnZue/gcP35aGRGkbmjQopZiXLPRrDDi1SRuuTf4gvRFIctgsqgkXGfl/flHiSnnwuSDNR0WGZo3fn2f6/jly98C3l8gULUKkkcOPPJFklj21WoGj+kf8DhCyf+fNI9rlOy0ojvFluENW3p//lFuH5GCJULNJ7iXkDXkCW5R3jCHQ/Dr7BiGXV+f2Z+UR1Wvfa+ZrIHud2RekXMZTIKaDe1Ex/smpk3a5aI3BnfXMoUbEeFuMvTJ3lC/ADCaDRgkY1Chhi67i58/Xhrw/qGmzNItZcyR19bK6bWERisY//0J6iTYMfg4tZYkCUXxbisAWYKMdHjmzhokHQlDFtr/hCVhMKmM/+44JsuVWyTVG0pOrLlEr8HpfD8xuEVJh9PB29Pe5J2P3mXRmNVkXshGCIHBpND19kxuGphOVJwHjcZbX+KvFREsmRlHRop30UvIKiLajT7LgN0d3GwxJy0Hl8OF3uh7J+XSokx0S5kqdSuhN+lLvUvwf5HbR6RQJ8Hms+BeQqORsNlV7nzgHFu2O6md04lwEYZGuvZ/zrJGRW8QvPbNSRq3tV3x8/u6vhAVq9C2ezYbfw1sUVJBIU13ll8WL6J58+Z0uu4GnuryGPc9fZ4b70pHCOlfNxw3Ves4GTAqhR3rw/juwxqEl2/GQecurH/afIpYKA6NXostx35NiG5Z9EIpk5WazeBqD+erk+AvwfaZuhaRJMHsnfuJjg8slE4IgaLA5Ncq8dvsWFylXBc2WAwmBaFKdLw5i8FPJVO1zrWf7HJ8vzHg9GdjmIEbXmjOhI/eZdy4cWilZG7uMJvYaNDpipccVQXFo0MbP5XTx6rycOtnUV3ByZSskVmUNTNfXZOrxbVvGvzHiYyLoN3NLdmwYAsiQD9joIJ7LYt1qy45GEyBT60lSUKjgT+XRF/TgqvVq7TomEuLTjncNDAjoGyzq0WtRg6e/+w07z1ezT/h1QhMHRRGj3mGW/rfzLB7+zF/mody8TpkH3y7sgyy3o07ZQR/LborJEWajBYDBtPVt3KhbCHtijDw+dvQG698cPa1KrgANw9NCyoRALxtgK7rmRWiEZUOVWs7Gf/9Ce54KPU/JbiX6Ngni5ennsRoVtAbShi/LDCFG/nw9zdITDvDY4OfZs/qg0x4DuLjtD4J7uXo9B563fYjSIrPhdoLP46Wm0feeM0UWyoT3StA/TZ1uO+NgRiugalNaXCpoI0/lKscvI9bkiEy5toVMo1WpXFb69UeRgH8dSi27Z7D9I0HGfBYCuFRKh7cKN5+ICh4UPDgEDaOiD0c0G1j5E1PYNlZkYPzTjP/3a+5rq2ELsA5tU4v6NAzOzgDQpboN6pX4PuHmDLRvULcNfpWhrx8BwbztTHFAUKWySoQJIkTqH5Er+sNIUgEkPA5rEmSBLUa22l5Qw6tu2RTv7ktL4GgtNBo4bbhqaV6jsDw/7OPKefhntFZ/HDoJmy1Ujku7+OM7gg3PtqJEV8M5i9pJRW11aiaXh+LPQoU0Agt/e7LCGqk5nCVAaNKToopCp1eS/OuTShfPT6ocYSSMp/uFeTuF2+nfuvavHbvuzjOB76wFiqcwoEGTYHuD/4iUDnAdjJIpTFtfLJKcrOD98MqbopsZXOJ8CgPPQelc8dDKRgtal6ygyR7w82Wz4ph0TdxnD8d+llIrYb2a27BTAgR0DTb5lDZuDmd/sOfpm7d+kQnmPn000+58847eTvhHdrJ3TF6zAWiDHoPSQ86065GfQfxlV2F1pEoFhliKkYz9ocngzp/qCmzdK8wLXs0pcWQ+kjXwNqPFh2yFPxPQJW9SpZBSpHJC/9m18YwXAGk6l6OxyNzcIe5yNd7DU7jh237GfrseWLKezCHqYRFeh+WcBVTmErfYalM/f0QT7x7BlkOXSCPwahy/9jCW6RfTQIRXJdbsOeAngefdRIVFcOuXbvYtWsXX3/9NR9//DHfPDUXg2pGEvl/S5IkQuLHdrsk4iv6Z6RIGgmrmsO9n95OWJQl6DGEkjLRvQpk7rEFnaIaCiQIqqI/gCIUzionAahLgs++tyUzYoM6L0BWmoZ9Wwq/oAY9kcwjb57FYBLFFpHR6cFgFHS/M4PXvz0REuE1mFRGvnaW5tfn9+f+V6MzVVVw412HMJqi6dSpEz179sRoNDJjxgweu+cp9E5zob8jrU4E4skolMLcSBptwXOawo1ExoVz3+sDMN/g4fZBt5Gaem25eMpE9ypwasu5kP0Yg0FGExIhSOQY0cRTXq7ssyWVek7P7k2Wi6US/cdulfjxi3IU5pju3C+Du59I9qtil9EsaNohl0fGnw1sQAAIJFnw+Ltn6D2kYD0Ft9vbkfm/Jr5uN/TvY+HIkSPMmTOHVatWIcsyer2euvomF4sEFbKfSyYk2dgSWAtzR0kS7W9tTcINDanVqhpZxhTq3V6FOUnTGPLSnSxfuZzo6GjatWtXaEftq0VZcsRVoLdxEB7XtfEjCCaWVwiBQ86l+bDtSHtbcHBrOP6sztVtauODBUcxmvz7CSoeyEjVMrxjgwL9vWRZMHvXPqJiA/t8nQ6J4R0bkJIU2IKndFlYlFYnqN3EzoBRF2jTLYslq3Lp1tFMVOQ14Fvyk1ybkcWrNMhyGDv3JJNubcV33yzkenojFyG6AJPXHKJmg+BSeJ12iUHNGhfoAWeOMPHx+nF57XkSExPp27cvLVu2ZNKkSej1es6dO0etWrXo2bMnCxcuDGocoaLM0r0aXEO3uWBCcTRa+GbFWZ4eFsvx3WH4Gw5xZLeZD56sisPu+36KAnarzHP96+QJriwLrrspi/d+OsrcPXuDCiOTJOg7LPDpqBBS3sPtkjm43cL7T1Tj7uZN2L0pvNiSileDpJN6Jr1aiVE963J/hwY81LUer9xbg61rwvPNQiwmO3ffauXO3ucZ+7jKxy9t5ZuJFajWoPhU5nlfxGPLCaKThxv+WBxVaNNNSZKwZtvz/q5SpQrr168nNTWVnj17kp6eTsWKFVm2bBmLFy/mvffeC3gcoaTM0r0K3B47jNyMay9+0x9kjeD9+Udp0tbGnM/i+e7DCnj8aIp4OW27ZzN28ikkqXj/qy1Xxpqt4dn+tS9GGwjueCiFgY9dQGcQQSdbXCI3W2ZgQmM8QRbf/jef/3aIugnXRpnPPZstTH+nAkd2mVFVCrxXk0XBYFK58+EU+o9MKbQrsdstUDwy09+pyMKvCg/J0hlUftyzL6gWRE/fWrfQpqDmCBMf/TGOWk3zN6JUFIUXXniBX375haVLl1K3bl0mTJjA2LFjWbNmDZ07dw5oLKHiGrvv/v9HCCetetTjWjB3A83y0RtUvvjtME0uFmxJOmkIWHABtqyO4N52Dfl+YnkyUrRYc2RsuTIOu4Q1R8Zhkzi+38gnz1fh/g4NOH/agEYreGXaKYY+d57IWCVkggveULJQh3rFV3JR7RoJH1v2Qwwv3V2LfVvCcDnlQm8udquGzFQd331YnhcH1sZhK7iNTidhNAnuf/EcAx9LLvRcbqfM7wsj/U7IAK+r58A2S5FdmN1OD3FVYgo8r9Fo+OCDD3j22Wfp2LEjv//+Oy+88AJ9+/alV69eJCcXPtYrRVmc7hVACAHu3Qjr1+BczR33W/hrSVWcfkyrS4NAXQvPfnKa6vX/sdichVyQ/pKdrmXel+X5aVI5mra3El/ZhdGkYs3RcHy/keQz+sv8t4JnPz5N667ZQbe3KQxVDV0R70vElHfjdkkY/PRfh5o1C6KY/Epln1sPOe0aDmw388rQmrw791ihFq/RLBj8VDLH95vYuiYi32vV69vpelum391ThIDsdA1vPFCj0NclCVrd2JSImPAijzFy5Ehq1arFgAEDmDBhAj///DN169alTZs2nDhxAo1Gc/FcKri3gec0CCvIYaCpDbqmpZI6XCa6pYzwnEZkPAzKWcAJqNRvnkl8pfIkHguuS2owqKhIF//zh/BoD9fdlI3mMhdbRGzoOhULIbFrY1iB5+s1s3L6iBGHTcP1vbNo37N0BPcS3qaMoUOnv/ozmwtndXw0uqrf3ZLdTplDO038+EU57n6y8Owwo1kw7IVzBUR3zKRTGAL4niQJLOEKniK+B4PFyF3P3lricXr06MG6deu45ZZbOHToEH/99Rc1atTg5ptvZvmyuQjbfLB9AyL3Yn60ijeIXoAchzCPQDL1RZJDF+tb5l4oRYT7ACLtdlCOA3Yu7+r7xIREDAFV5hcE65pQhYobJ9lSut8uhl53pxeIMW7Y0obJUnrRGCaLwh0PX0C9WNd14OMXSrX4t1YnyEwNrT1izdYQgjyUPAJZiln8bWzA8eFOu4b5U+MpLvKqSm0n1ev/s7BVJ8FGxWquwBcPJYkbbsks5HkwRuio0byKT4dp2LAhmzdv5s8//+Thhx9m2bJl2LPX40hsD7mfgHoBhA3vNer0/r+wg3IGct5FpHRFuPcH+CYKUia6pYRQziPS7wORQ2Et1Jt1sPLEe2f8aomi06uUr+qiXnMblWo6qFTDQUL7HHLIRPGx/p2Kis6iJanSEVLCElGEf1Zqqy4FLcyOfUq30pfeIOh0SzZd+mVQs6GNGvVLdzEqI0VH0snQ1sg4e8IQksgFVQWnA04dNuDxCBRFIIQoUYTdLoklM+NwB+F797gktqyKKPJ1rU5w+4h/Ij/6j0xBG4SFbw5TuetfdRcEAqFRORG1l8qVK9OzZ08+++wzjh8/Xuyx4uLiWLVqFWazmbnfPcmKH6th0HvwCm1x2EBkItIHI9x7An4vl1MmuqWEyPnwouAWTY87M3ll2klMYUqxlqKs8Vq3qgppyTqO7DaTkqQnI1XHsX1G0jXJZMWex40TD4WnSypCQREK6STzt7yGLGc6J7OPoEj+iW54Ib5OvVHQe0gaWl3orU+9UeW2ESloNPDwG0ncfG8aGm3pTtUddgmjWUXWhO79uBwyK+ZG4w6iuJqqwu+LohjSqjFP3lyPjcuj0GgkJEkq0fe47ffwoNdu7VYNC7+OK/J1rQ7qN/8nhKzTzVlog5wwVKrhIv5iRTqtXktYtJkWI+piiTWhqionTpxg6tSptGrVioYNG/LCCy+wfv16PJ6Cv2uDwcCMb95k4msudFo/Z2bChkgfhlBSgntDlIluqSDUbHD8ii/Vl9t2z+HH3ft47J2zVK/nQG9UMYcrWMKVi1bwpVRKCcUj43HJCFXC7ZSx52qwZeuo4qlNRGo5dou/2Ce2kClSUfAghEAVKi4c2MtlcLb6fvZqNpPjzCY2NhaTycResQUF34W3KEup/8jUkFQOuxyNViWuojuvUpclQuWmARloS7k0cc0GTj5bfoSut2eiN6oYTP/+HgN7nwu/js9zkQSC3Soz8emq5GRocdg0FzPyfCMlSYcnBDWWLiQWPwMwh3k/K71RDcnN0e2SCI914MHNKfUw56sfIdWWTN++ffnhhx8YN24c/fv3p2nTppw8eZIffviBu+66i5iYGAYMGMDs2bNJT78sO9A2GX0JnSuKRDgRtu+Dfk9lC2mXkZWazYG/jpCTkYtGqyGqXCQJnRqg0/t3lQv7z/hzP9MbBT3uzKDHnRkkJ+rITNXickhMeKw6KUn6ElNlL/UGa8717GYTf4vfiYyIJCsrC0mS6NChAz179KB79+5cuHCBwYMH07p1aw4cOEDTpk05sG8bTeS2UIIgmCwKWp2KEAV7bcVXcjPuuxOMHVwroPYu/0arU4mK8/D+T0fzhYNdqdX/anWdPP/pGUaNP8vKedHs22IhO0OL0ayyY0MYTpv/WWVJJwz8tSKCdjdm+52F57BJfP9h+Xw3vVOHjZw6bKB6vZJD0Rw2GVUJfnHQ5Sz+GHa7hECg1QpUVUITpHmt1WlpfHN15p/+mTEvjaF9+/bs37+Hw4f28Ntvv7J//wFycnJo2LAhd911F2FhYWRlZbF//34WLVrEypUrsdls1KtXj3vvuZ2n712KLAW6/uAC2/eIsMeQpMDv/P/zyRFCCA5uOcq8D37hryXb0Bm03rY6kpQnLH0fvolbH+1JuWq+1eRUU+8Ez+6gxmW3Skx6tTK/zfavMIxHuNnMKmIqR5GWlobD4aBZs2ZYLBbOnDlDcnIyERERpKamYjKZsNu9Pq3aMfWpklUfSZHQSNoCUQ3V6zmY8NNRzGEKhmKCLvb/beble2rhcXsXX4pGUFgGm6zxXrANW1l5eeopIq7BIuUfPl2FVT9Foyr+31x0epUPFhylRn2Hz9EXdqvE2oXRfPJcFS7/zDQawd1PJTN0dMlxp8t+iGHyq5VK+E5KpmpdB1+tO1Toa6oKf62y8Pqw2sgSLDuzO3g/tmSGmJ+47faB3Nw1nRH3xHgjDZABAZqa2KTB7DlchT17j7B//3727dvHvn37yM3NpUqVKuh0Oi5cuMAdfRy8PTaWMEsQg5IsSJFvIxl7B3yI/2lL12l3Mm7ARHb9vg+n3YVQBW5nwTnYzx8vZcGnyxg2bhB3jS45TEXxpBWTje4bOr0gItp/wZHRUF2qz5HzuyhfvjxOp5ODBw8CoKreYiu5ubnodLo8wQU4ln6IYxyiirkG5R3ViBLxFyMbBDXru/jolyOYLKLEi6hRaxsz/jrAb3OimT+lHPZcGVUBj0dCoxV5oWZ26z+f0OU1XlUF2vXO5IExyegMAlUB+bIP0+UAncH3rrbFccne8DcWs899F1g1v2BQvi+4XTLP3VGb16efpFFrGwajmu/95d8WVEVi4dfxfPtuBf59k1IUiZQk3yyu2o0LLhhFxbm5eWga3fp7e7dJMthyZP5aEcGib+JJOpm/xrCsUWnQouhMSodNZvE35ZGQEAKO7jFRr1lJC1XF43ar6LJfZ8E0Jy6X5rJ1kovXhnIMs/Qh7WpDu6YPIlk+yvs+MzIy8onw7d3WEmYJchFWWBGunUGJ7v+spetyuHj6hlc5ue80Lrtvzi6D2cBtj/XiwXfvKfCaEIINGzYwZcoUXn98I7WqB3c/87jh2wkVmfel7367SygopDc5wf6D+5BlGY/HQ0xMDPHx8Zw9e5bs7GxkWUZRFKpUqUJiYmLevhEREdx+++1cuJBCvZr1mP/Tt/y9JpbYaNlvq0VVYfcmC4nHjFizZczhKnEVXMybVI59WwrG4uZHUK6ym3Y3ZdG2WzYmiyA7Q8PuTRaGPZ+MKYgMNCEEdofgr20OGtbVExMlYzD49uYcNonvPizPj5PiAy6LaTApVKtnR6eTuOPhC7TtloPbLV0sKynl3WhW/hjNwq/jOXvcQFikh+tuzCYq3oNWK8jN1rDnLwt1mth5/rMzPrxnGN6xAWdPGIiv7GLU+LO06pyDEAVdNm4XqKrEkd0mJr1SmaN7vDWLDUaVjxYfoXbjwoUr/YKWwS0aIYRX9DrdkskzH57BHB7Yd6WqWuwONyaT1keXgAkMXZCiJiIVUrBaTRsK7s0BjSUfxn7IUe8HvPv/rKX71uCPObnvjM+CC+C0OVn4+a9UqV+JXvd3AyA9PZ2ZM2cydepUhBAMGzaM6JhzQMkXQnG4XRLZGYHZy/GVnHTtlM2IwbHodSppmfDXNheNW9zKwIF343a76dGjB40aNWLTpk2A19pLSEigdevWNGnShAkTJrBixW888WA0JiMBTRNlGZpfb82rK2u3Sfw2K9YHwQWQuHBWz+Lp8Syent+tU66ym1uHpaILoNmDEAKX29u+/fo2Jv7aZqdieS0Vy2sJDyv6TbocEgKY9Gplfp0VG/AKtM6g0uz6XIxmlT9+iWb/gzWJjHXTpK2VsCgFxSORna5l18YwnHaZOgk2Xvj8FNf3yULxSOgMKrIEbrcEwvcOHJIEA0ZdYPmsaMZ9dxJzuFJkZIFODyBo0tbGhwuOMn5kDbauiaBSTWeRgisEHNltyhNcgI2/RvLU+4FfB7LswWSS/PDB2sG5FpH9JlLkGwVflkKUjCQVnpbs8+7/i5buyX1nGNX2RVz2wOJ3ImLDeWr+/Uz7ahqLFi2ibdu2VK1alSNHjvD333/z/GMVeO5RLWZT4HNgl0Pi/usbkHrO13hRQcvOuQx49AKN21gRksBwUZSEgFyritMFxpiHuPmOmXS84RZ+mDELzumprK2JUWPC5XLhwYWxuobt5//C5rJycltNKlcIfmHMbpVYvySKic9UzXdhBkJcRRdT1h4iLCL4kC5VFVhtAodT5cQpNwmNDHhcElqN7K0Wpno/v1+mx7FkZhxp54NYQJEFtRrZ+WjRUdYvjeLzMZXzuVnyIxj+0jluvT8VnV4Umn7rL067t7CNKUz16ybqsEm8dl9N7ng4hbbdiw6DzEqTGZDQhMvdID3vTuPRcWf9zh70eGS02kATgYxIsd8j6Zrme1bNegPssyksbt53dBD2BHLYQwEf4X9SdD8cMYmVM35H8QQ47ZEUTobtR4r3cPbsWaKiotBoNKSmptKkSRN69bye10atRCMHlh6rqrB9XRgvDant0/ayLHj83US63p6JwVT8BWW3q5w5qeOhO2PRZJRDq9Xw7/wIBQ8ICSnuPF8tzKZ67cCDS4XwBvN/Na4yi7+NJVTdMOu3sDLhx+MhzUzLtao8/YyTKkpdIqLA7ZTISNGxa2NYSNKCG7fJ5e3ZxzGaBS6HxICExkWIruCJCYl065+ByRLay7OwyBNfcNpLrhthy5F5qm8dTh3ObwnePyaJ24an+iy8DpuEJItiF2yLRwZjb+Soj/I9K9z7EGl3A8H4dfVI8SuQNJUCPsL/XJyuPdfO2lkbAhZcAFloKGevSmJiIq1bt2bkyJF8++23pKam8vfffzP+rU/QmG+GAJfTnHaZeZN89eUKnvv0NN1uz8BkKdmCOX/SzNg7G2DMroCGgoILoEGLRtIgp1fkm/EVsQZRD1WS4PRhE4u/jSNk7YeBQzssPNu/NtkZGmy5ofkZh1lkPplo5uxRC7/OimX1/Bi2/xEesjoM78w9nic8eqOg1+D0QhNK+g5Lo9sdoRdcCHwB0pdQPb1RpWWXgpbw9Hcq8e2EijgdUrFFntwur7gf2FEVTaA92wFQwbEKoebPlHSpdUjNDM41gL5VUIIL/4M+3ZP7EtHoNCVn/5VAlBxLdnY2en3h038pfDTCuQ6h+ldhyemU2bXRws4Nvvg9od/wVNr3zMLowwV6/rSe0bfXvtj6pPhBNWptZezkU1giFIzm4KxJc3jphH0d3WPmntYN6XJbJgNHXSCmvAdVBa1WoDeKgATGaBI8+lYiL9xVB/B2t7hpYDrlq7rQG1VyMrTsWB/Gmp+jC3StKA5ZIwoUvbnr0QusmhdNTqbEpe9D1qgMe/EcplIs5lNaaHUQHVf47G7BtHjWLoiizz1p3PZgKjqdN8MS6WKvPg38NjuaxTPLM+p9O1pNsEWUtOBcB6ZbEUIwb948XnzxRR59oCpPDTcgS4GU2TQhWUYGOa7/QffC1t928tagj7BmFV/xviQEAn0vOxaLGaPRiMlkwmQyYTab8x4V4rK4ucNsLBYJjU/GmJEzSRE8ekN5XD6US/S3Nc1D3etx+pABVS3+2O1uzGLspFMhq+J1bJ+RR2+sH5JjFY2gToKdyrWc9B+RQt1m9nyV0PzB5ZCYPqECvQenE1/Jhd6Q36dqz5WQZFjzczRzPitH8pmSV/QkSRQat3psn5HRt9fB7ZS4aWA69z6XTFScJyQhcVcaVYGZ71dg9qfli91O1gjqJtiJiPEgawQ5mVqO7jFhd6icl06zeFM6NasFm3aoRwp/jj931ObZZ5/F7XbzwQcf0KVLF4783YfK8UcxGf35kE1gugM58tUgx/U/aOnqDTrUQLshXo4QLF++DCAv9/3yhxACRVGoWU3Lwm8rUaOqFqNRQqMp+EXbHSoSMHvhBR59YR8JrhuIlorOcb9Em245PqfeHtlt4txJfYmC27CVNaSCq6qQfCa0xWMKR+LoHrPXmv/oTMCCC94Frz5D0qhap3BftinM+9ncNDCdLv0yeeXemuzdXNTMRCDJIFQJh00uUGy9dmMHny8/TG6WhhoNfE+YKAkhBC6X8DkULhQ47DIXzpYslqoicWinOd9zCgo2cxaeijkYDcHneatC5bsZX/Pauyd5++23GTx4MJIkMX78eGbPOsqWVR2Anfg25TWB6WakiJeDHhf8j4huYmIia9euZc2aNWxYsYlqOY2KbabnC+Ex4RzadIhjx45x/PhxTp06xdmzZzl//jwpKSmcPHkSm83G6bOCZt1O07aliadGRnJrTzOK4l3Q0GolrDbBF99ksWlnNWLi2tCkyWFO7zhElByDVIJA3vHwBZ87JsyfEo+7hBROEIz+6ExI69Q6bPJFf+6VIeE6Kx6XhMEY+HvQ6b3JKT9NjuPOh4vul6bVedOV3/rhOM/fVZtDO/LXXG3WIZdTRwxkpnhFZMOySLrdXrB2RJXaroAXuApDCMHmbQ6W/qwnoUYEsbEyXW7LDOpG5AuyLNiwLNK/nbSgeDz0ffwmqOFg7dq1ZGTtp2L54G4WNpuLcuXqcOjQb5hMJoQQPPfcc6xYsYI1a9djKV8OYZ0O1ml4yzkWkvQhmUGKgLDHkUx3hqygechEN687gu178Jy4WIE9HLQJSJYhSNpaoTpViSQnJ7N27dq8R3p6Ol26dKFbt24899xzvNvvS84dC7xlh1avpeewrtSrV4969eoVeH369OmMHz+ezZs3ExcXh8Ph4MKFCyQnJ/P73kQunD/M+fMnOXEyhaXLN5Kd7cTp3IvHszPPCk+WzxCvVkZTzFdUtY6TI7tNJCfqcdhkLOEKNRo4qFg9v4XmdklsWBpZopVbv4WNuIohqIpyGQajSoXqDoxms18+0EA5vMvEvEnx3Hp/GjHlAvcLmsNVZr5fEUuEQu/BGcVuazQL3vrhBPe0bojdKqOi0PnmXJ779DR3NmqSt92CqfHccEsm2kIKroTSnaAoEqu+qsPGRZFskXRIkqDr7ZmhO0EheNyw6qcYv9KMJYvKYecezohjrP10IWazmZo1a3L0THXq1z6HJgi/rsVipM9tbyJpTSiKwsMPP8yePXv4/fffiYnxZhNKYcMRlmHg/ANh+xY8p7x1dCUzaOsgWR4A/XUh7x4RtE9XCAGORYjcL0C5wKXuCP+gBTSga4AU9hSS4fpgTlcoaWlprFu3Ls+aTUpK4oYbbqBr16507dqVhIQE5MucacumrWLS6Bk4cgMLHdEbdXy9/2Mq1CgYYbBu3Truuusu/vjjDxo0aFDisd58802WLFnC33//zbhx43j66aeJiorijz/WM2/cEvatPoJSRLv2clVcZKdrkDUgVJBk8Lglajf2tv1u1yMbjRbSkrUMa9+wxI4BL005yfV9skJuEdmtEk67zPN31uHU4dLvlqEzeH9/LW/IYejoZOo29X/VNDtdw11NmqA3qEzfeIC4isULgM0qM/W1iiz9IZrI5gf5br4Hkxl6V22ar9DMlysPUbOho1S7AudmybzzaHX+XvtP7dupaw9SvX7p9Whz2CUe61mPM0dL/n49wsMZ3UGqtBNoNXbsDsGLY96jb79BAAglGZHSHQiiDqauLXLs97hcLu69915SUlJYuHAh4eFFt/e5UgQlukJ4EFljwfEbvvlGjBA2KqjAYoCsrCzWr1/PmjVrWLt2LceOHeP666+na9eudOvWjRYtWuT1PyoMu9XBgAojcFj9F11ZI5PQqSEfrHm9wGtHjhyhY8eO/PDDD/To0aPEY/3666/ce++9GI1GOnXqRJMmTRgzZgzVq1dn7dq1VK9encXTfmPuO4vISsnx1oXw8dsyWRSi4jy8N+8YiiLxcPd6JVqai47t9rv6la+oKjisMk/3q8PJg0GG7fiIJAn0BsFTH5yhW/9Mv/ZNPqNj5Y/R1G1qp3p9BxWqlTwDSDqhZ0CHykxdd5BG9byLa7fVa4L9svbhNRrY+Xjx0VLtfGG3SjzVt26+z7nHXemMeutsSBt4XsJhk/jy5cr8Nse34kyyVmHu7tNERLmw2V2AwGCQ0Bg7IVkeBH1bRMZIcP1BIMkRimpAG/s5dqUNd911F1qtlrlz52I0Xr32WJcTsOgKIRDZY8C+DP+CjU0Q/jSyZZjPe1itVjZs2JBnyR44cIC2bdvSrVs3unbtSps2bdDp/HO+b166jXEDJuL0MystPCaMKTs/IL5K/h9Yeno67du3Z/To0YwcmT+sRAhBdnY26enppKWlcfjwYT799FOOHj1Ky5Yt2bt3L82aNWPTpnU8PrIeNSpeoFy8ltxcN0nJMivWGck6VxFDYhQ6q9HnvmayRsUSofLu3GM8dUvdYrsGyLJg6ekQVIUqBlWFnAwNw9o3wJqjKZWmf4VhMKk898lpOt3iW4cLRQGEt0+a3g/fsN0q8fijKp98KbBcrGT14sBa7FgfxuUhek3b5/LmzBMYzWqpRCkkHtczvGODfOfUG1V+3L0vqJoVheGwSUwbV4klM3zz2xtMKn2GpvLw6+cKeVUCTCDHQMTLkPXMxTY6vqMoWv7e7aJiwxXcd9/9VK1alenTp/utD6VJ4KJrX4LIeonAAl6NSLFzkHSNCn3V4XCwadOmPJHduXMnLVu2zLNk27VrF5K71qof/uDjkVN8El5ZIxMWZWH88hexlDPmCWhaWhoXLlxg4sSJREdHk5CQkPfapX8zMjIwGo3ExsaiKArJycnUrVuX66+/Hr1ez+oVs5k3ow/Vyv2FXq9Hr/vHqhJCg8cDBw65WfBJdTYujcafJANZVomp4MHlkMlOL9o/LGsES0+VruiC9yL99r3yzJ0ShV4KoHhCgBhMCtPWHaJ8lZIt1kAXtaw5Mtv32mjfxoBW6z3AtnVhjHuwRoHMs5oN7Xy58nDIP29brszk1yoVWhL0rkeTGfJMctAxwJckY882HdPfqsr+zUW38Lkcg0mlRcccXpt+soT3LXn9qmGjIed9fNcYA2iqMvqtKkz/9kcGDRrEl19+mc+1eC0QsOiqqTeD50iAp5XBeDNy1IcAuFwutm7dmucu2LJlC02aNMmzZDt06IDFErpunOAV9rS0NLau3MG88UtIT8xE8ajeWrqXISRv/neOPoP9yjYUrZvY2FhiYmKIjY0lOjqaffv2oSgKI0aMIC4uLt/rMTExxMTEsGvXLh5++GEiIiL48ssvadiwofe927aRe2YAkZFGpCJa7VzCbpXZvDKc95+shsft+w/JaFZo3jGH7X9EFOvXXXx8t1+WXaCcO6/QoqWDxqItWunKBNBo9Sq3PZDKiFcLs7BCg9UqkGSB2fTPZ6yqcE+rhqQl/ztsTvDr2d0ht3StOTJ3N29cRCF5wdMTz9C5b2bQ2W5uj+CX3+DDJ6phtkd4C+kXcUhJVtEboEu/DJ58L9H3OhJSGES+i8h8Bas1nTBL4R+W2y3QaA3Ihus4b3+RHjfeSmZmJqNHj2b06NGBvcFSJCDRFe79iLRBBJPDrKo6Pp8zkF9XbGTjxo3UrVs3b+GrU6dORET4dvd0u90FLMuS/k1LS8Pj8RAbG5snjFHaWKQzRlznBcIjkGUZY7iBFr0b0XVoR2rWr05MTAwmU35/5Pvvv88PP/zAhg0bCAsrGKuZlZXFSy+9xE8//cR7773H0KFD86bVwr0fkT7YrymUwyaxY304bzxQw6/CMfGVnGSm6XA7ixbdN2ccp033nFK3dnNyVe4cfo4zf9SnklS92AiNUGIKU/hxzz70BkFKko4ju01YszXo9ILYCm4atbEGtYiYla0QZpELxGL/viiSiU9Xw/mvG94vx3aHtBOGwy7x8pBa7PmruGxGwQNjz3Hb8FR0hpLrIxeH3SF47dPunNqXiTihJ+OoFYGKhITBYECn1+Gw2+l4cyYDHrkQwIKmzOnkunTovYXO1yl89el1mLQnQdLjne0JEB6OJTVi+OPrGfPyV4waNYqRI0cyaNAg2rZty5IlS2jbtm3gb7IUCOjXLmyzCWplEXA43VSI3s7DDz/MrFmziIyMJCMjg/T0dPbt21eoUBYmojabLc+a/LeFGRsbS9WqVQt93mKxBO1TXLhwIZ988gmbNm0iLCyMjAtZLJu2kiWTV5KVmo3b5UFFwRSvZ8YHs+gxqPM/gisciPT7EcLmV0UCo1nQvFMOdz16gR+/KD7z53JyMrW06pzDjvVhRYb1zJtUjqbtrSH3+/0bo0GiRYKBVX/sIMxsIdIejyxKP5xMCJj9STkObLOwd4sFnd5bJP1Sa3SdXnD7gyn0uSedqCLSWYtDq/UW7/43XfplcfZ4MnM/L5fvsz9/Ru9Tq52SUFVvFt1bD9UoQXABJL55uxLb/wjn7VnHg6q+oqoCd848+g/7nLvvvpv05EzmTJrH7JlzOXzyJJUqVOCLyRqaJyQhy4FcayoVog+R0LgqN97yKJYqDyCU8xdbpjtACgdNdepWMNP3tve55ZZbGDt2LC+++CIAkydPZuDAgezYsYOoqKjA32iICcjSDVUx4Jk/GRj/sZ20tDSys7OJjIwsVCCL+jc2Npbw8PCr4rPZvn07PXv2ZPny5dSv3YCJIyazedl2JMDlKOgmMIUb0em13PfmIG556EYO7HibGrHfY/KjBfvl5GRoGNC0sc99rzRalXufPc+2dREc2mEuYHV5EczcfIDyVUMbq1sY732ezpi30gAoT1Vq0QgjJiRkZOmfsV3eVSJ4BFqdwOP+p9bBvzEYVQTwdAARD6cS3USGy0RFFn4DWfxtDFPfqAyAyylz06A0Hn0zKaibnKrA37+H8c3bFTlxwFzyDhfpPSSNh9/wv+Tiv9n0t4MRz4excePGfML2/fff8+brj7N7TTxFlCfxCUXVMXGyjadfPlRknZO///6bW265hf79+7Nw4UJWrlxJ48aNAXj88cdJSkrip59+umILtyURmOim3gGe4HvAHznTikz1KWrXrk10dHSxYV5XApfDxbp5m1g2bRXp5zLwuBUskWZa92xOv1G9KF/dW0z77NmzXHfddXzyySd0bHMDT3V8hYzkTDyukq0jWSeRYUhm1srz1Koe+A/elivz/hPV2Pir7xlAA0YlM/TZZN55tBrb14XjtMsFXBQtOuXwxrcnSrUBpBCC97/MYMz4NGRZ9kbCCEGkFEtlUQsL4WjRosOADn1IRdfXRUiDUWXka2e55b70kje+iN2uggR6XeHp3uCNmV46M5ZF38Sh1Qlm/HUgYOFTPPD+k9VYuyDa75vTwMeSue/580HX6T16QuH5CQmcPHmSKVOmEBcXR3h4OGFhYZw48AlVo74OricZkJoZS7kGmwp97VJc/FdffcWtt97KDz/8wHPPPceqVato1KgRTqeTDh068MADDzBq1KigxhEqAvvIZd/8rcUhBKxZt4OX3u6NzWajUqVKVK5cOe9R2N+lFWdnz7Uz47W5LJu2+uLf+X3VZw4lsfDz5TRuX4973riL+58YyqhRo7ipW08ebvkcaUnpqIpv1orqFsRrKvLHbA21XkwseYciMIep3PHwBT9E11t5S28QvPrVKXZvsjBvUjl2bghDoxG4Xd4L9sA2M1+8VJnH3jkb8pbqlzN8UBTffxqDNUeDWzjJJI1s0smRM/Ky8tpzU4gjHHwXJadDZsoblalYw0Wrzrk+7WO6uIBWnB0TW97Dvc8lM+TpZPZttZByVkelmq6AxE+SQW+8uo07FUUhNzeXxMREevbsSUxMDNnZ2eTk5PDIfRbefsm/xqqFERNd+IezbNkyhg0bxuzZs+nevTsAQ4YMAaBHjx55wjt37lw6dOhA+/btadmyZdDjCZbARFfXDFxbCcavK8kWHn7sHR55thc2m42kpCTOnj2b929iYiKbN2/Oey4pKYmwsLAShTk+Pt4vd0P6+QxGd32d5JMphTalBPIs2J1r97Hzj73U69SYF154gU8fneaX4F7C5VCYPzWaLrelUqNB4IuRlWv6/vkbTCrR8d73IUnQrIOVZh1OkHZey9+/h5Od4f0pREQptOzseyGdQJAkiXCLxFdfhvHS0JoIVJAkrCKbU+IQFziLQFyxBbaicDlkpr5RiSlrDvu1ny8Wp0YLTdsX3eTRF2QZRr2VxF8rIklLldD68XllZ2hxuSRM2uC+57QMhY0bNxIbG8v58+fJzc1FCEFYWBjhEaHJ/pILuVnOnTuXJ554gsWLF9OuXbt8rw0ZMgQhRD7h/fTTTxk4cCDbtm3zeZG+tAjoVy2ZByGsXwV5ahkM3ruT2WymTp061KlTp8itVVUlLS2Ns2fP5hPnv//+m0WLFuX9nZ2dTYUKFYoU5Uv/b7FYsGbbePqGV0k+ecH3ouaKRM5mlU2Lt7J8+moUV2D+OI9b4uepcTwzMXBr1+CHP1hVJTr2KZgcEFvBQ89BxdcWKA30Rmh2vZWKVd15pREjpGgailbU0SSwVVmDGlRbldBw7pSBY3uN1G4SZBfZUkII6DUkjdmflkMgfE6c+fv3cB4Jcikk16qy6DevW6NcuXIsXryYIUOGcN999/HQQw9xfP8nwGzyOvcGishGqFYk2Rs2Om3aNF5//XVWrlxJ06ZNC93lnnu8zWNvvPFGVq5cyaBBg1i7di0PPfQQs2bNuqr+3cDjdNOHg2t9gKfVg+V+5PDQx9A5nc4CVvPlj0vPGQwGGtMGc04kBNCzS6CCTImVwIrDYFSZs3tfwKmZZ47pebBTwxK3kyRB+15ZvPb1qYDOU1q4nbBoehzT3qyc73lVqLhwYMdKtBRfxN5XBlmj0vW2TJ867l4tMtM03N2sMarq3+/4nTnHaN4xN+CwMZtdZdizdVmwcAVarTavuemuXbvQaDT07tmO2Z+fR6cN9uapAW1dpNgfmTjxCz777DNWrlxJ3bp1S9zz+++/5/nnn2f16tXUqFGDdu3a8fjjjzNixIggxxQ4Ac/fpLAnEOlbCShWV9IhmQu2MQ8FBoOBmjVrUrNmzSK3EUJw5kQiDzV+Hk9h/Wp8QEIOrr8dIGsFW9eE0/lW39JTLyEEfPdBeeZ+4VtLH61O5a5HUgIZYqmiM0Cfe9L5alylfAt6siRjwIgkCzyKG6109VI4VUX2IQzr6qLTCxq0srF/q38JRD9NiqdhK1tAdSDcbsHyNTK/LF6Nqqq4XC4iIiLYuXMnsiyjKAqNEzqRZT9MtGWHj0X8i0IBzwn2bezDtGlJrF+/nqpVq/q05z333JPP1fDjjz/SqVMn2rVrV6SVXNoE/FFI+mYQ8Srg7+KWESl6GpLG9xjTUCNJElsW7rzq0RKKWyIz1b/7nhDw3uPV+GlyPJ5iailcjqrIpF+4Nksn6/QCc3jBi15CJsJoxKC/ut8RELIebKWGgKhY/42HbevC2b3JgqOYvmWFoaqCzGyF9ye5GD9+PDfddBOyLNOiRQvCw8PxeDxUrFiR8ePH0+/uX7xRHZeGKmDvZguLvoll1ifl+HlqHOuXRuJylDQGJ7WrJLJh3VyfBfcSQ4cO5d13380rQvXhhx8ycOBAcnN9WyANNUFdibL5TlR0kP0KXr9NcfGdBq+FGz0VSd86mNOGhF++/A2nrfRK3fmCerG9tz98/VZF/lwe4VfdUkWReO/x6kTHH6Nxm+DaFPmDEN6H2yWRlabBaBZEROf37ykebw81b9+2/DhtMuFRnnw9xK4GhdW/vcSlkppXFQl0+kCmXRLjRtRgwo/HqN3Y7lPomscjyMlV6db/LPsPu8jK+ZrWrVtjNBo5cuQIrVu3Jisriy1btiBJEn9tc7BinYfObQz8uSSGeV+WIztDg6pIeNwSsvZi7zjhjR3u90AaFaoVvkCsN2gxmJYDzfx+p0OHDkUIQffu3Vm9ejXXXXcdo0aNYsaMGX4fK1hC0iNNeE4jrDPA8RMgewsBowIakIyADiz3IpnuRtIEH0ISCvpGDA24nm4oKFfZxeCnz3PjgAy0Pt76LiTqGN6pAa5iUnmLo1o9B9N+PxTQvoHgcsCLA2tz4oAJgVd8G7WyMWDUBVp18aYbu13eVuS2nMJvIpIsEH76KkNNjQb2QiMYHHaJ5DM6qtcLLjszWHKzZd56qAbb1wUWLaDVqTwxIZGut2UiROGdfxUFBDqSUw10vnUfL782iYcffhiTyURCQgIXLlwgKSkJq9UbkWE2mxFC0KJFC84fO0+CqxmKi2LLi2p1KhoNPDHhDD3uyix8I8mCVG4zkhRYxsXMmTMZM2ZM3qLfiy++yH333ffP+/QopCSmkZtpRWfQEV0ukojY0NbgDcmcU9JWQ4p8BRHxHDhWgXIGIaxIUgRo64KhE9IVKmziK74kMpQWjVpbGf/DcQxG1WfBBVg0PdZvy/hyks946w0EUtQ7EKw5WvZtze8P3b0pjCO7TZgsKm/MOEGlGk7sxUzftTqB4sHnzLtQYzQr3HJvWr7nPB7wuCS+Hl+Rph2sV110dXrBkd2B1yj2uGUmPlON6e9UpO+wVG4bnoo53Ft28pJNtuoPhdc/OIvVWZMTp11MnDgRvV5P+/bt2bdvH4mJ3iicyMhIWrRowdatW73FoLYcpIXSiVzkEiMrPG4Zjxs+fbEqTrvMzfcWlpiigpoCmsqFvFYy9957L0II+vbty6RJkxg+fDht27alfHQFlkxZycLPluNyuNBoNQghcDs91G9dmwHP96PdzS1D4pIMqRJKkhFMt3j/P5QHLgUMZn3QwutPiM4l6iTYeHv2cb8XL1xOiaXfxRVbE7ck3C6J+VPiefGL0yVsKRP0KiGQm1X4D9Ru1WC3ani2fx263JZebOEeWRJIWnBdJdEVqkT3O70hdQ6bhCTB+qWR/DSpHMmJOtr2yAlpfzN/UTyw6bcIcjKKv5R9mTHYcmW2rw/n9hEpee9HkiQ8CuiMFcnI0ZKamoROp+PQoUMYDAZWrlyJRqNBo9GgqirZ2dn89ddfWCwWMlOzaKV0RYPWr+vEaZeZ8nplqtVzknDdv2OZNaDmEEyLw/vuuw8hBI8++ihPPP4Ewzs+RpStHJIkFZrCv2/jId4d+ikGo57XFzxP4w7Bdba+tszPK0jtZjXYvW5/UMeQJMmvwvY6gxqQ4AIXLZng7rKqIrN5VQS5VlFomTynU6DRajmXWo6Ksclogwj1cdol1i6IKmEbudBuA1qdSkS0gs6gIlSveAfqUgkGSRbUaGhn4/IIcrI0JB41snZhdJ7/2WBS+X1RJI3aWLEUshh4JXA5JeZPLjmK5ca70tmwNAohyFfbV5JEXuLMgFEX6DkovUB2nFYDndpk8Nio4Yx+9mUqVKjA2bNncTqdyLJMnz596NevH6tXr+bcuXM0bNiQn3/+mVrRDdGnGgIK03U6ZKa/W4GJC4/96xUVpOA7jwwbNgxVUZk2ahZhnmjcavEGmD3HgT3HwQs3vckrP46mXZ/AM9v+Z0V3wHP9OLLteIGUX39odF19ju06gdPm2/Sy862Z3kWDAMjN0iDhIdivLDdHYtDIJF54PJZWzQwYDd7FLpdbZtPfdo4mNuPwqToMvW0fTeqcCrjUoSTDsu998N9fZuXWbWrjjodTuL53FkL1JnRodd4U5XlfxrNkZlyxhdhDiSR5LcNDOyy8v6PwUCy3Cy6c1SOuUg6H0y6xd0sYh3cVX+imdhMbo946y+PvnmXD0ki2rgknK02LVi+Iq+imx50ZNGxlK9Za12n1dG2fi6IoJCUl5bkdmjZtysKFCwFvIkLTpk1ZsmQJH330EXdVHI5VCdyVdWSXmaSTeirV+Of68rgdLF64jiYJ7ahTp05Q0/20P+1EEoui+v4FOm0uxg+cyMR1b1K3ZWDNdv9nRbd1z2YYzIaARdcUZuT+8YOw5dh5++6Pfeo+MWCU7y3T/40kEZI5rITEqCc/why2AiH2kGtVMBjAoFfp0MZA+9ZHcXtOcfRsA1zuk5iKKNxSHIrHG46UkeJbfG3F6k5e++YkFas50RnEZZaW98LW6QWDHr/AoCcu8NucGCa9UrlUfbxavYosU3wYkyQQKthyNFfFteB0SCQeMzDuwRolbtvyhly0OoFWB936Z/pdPc2LjfOnZ6LVaomJiUFVVdq2bcvKlStRVRVZlqlSpQotW7Zk8eLF1C/XGNUV3Bq9qsKib+J45M0k799C4uiZSvwwayE7d75OSkoKCQkJNG/enBYtWtC8eXOaNGlSoOZ1YZzYc4rf524MKKPUYXXy6aiv+GzT237vC//DoqvRaLh//CC+fOpbv0PHtHotletWpFmXxkiSxLjFL/L67e8jhChSxGs2cvjUKqYoIqKVQHr0FUBrEPRs8xlCdaPRCC4P1TYaJEDFhJOG1XYiS+BwCIxG/1TFbpWZ9Eoln7at1cjO+z97GzUWZ7RcWlG/cUA6Ves4eHlILb+6ZxSkYMUxg0lBCIkOvTL5Y3F0ibsLZC6c1aMLQZ0KIUBxg6TxpogbiujgoXjA4VL5e5OG90fWwl1oh4j8RMZ60IYgvyQqQqDVasnIyMDlcrFy5UpcLhdNmjShVq1aREdHI0kSL7/8Mj0b9cNpDy4k0+OW8yV8yLKJhq3e5+efWwGQmZnJrl272LFjB3/++Seff/45hw8fpnbt2vmEuHnz5sTG5p91zf94aVBrOsd3neTMobNUre//gt7/rOgC9HmwByf2nObXb9bgsPr2A9HoNESVi+Dd317Oy99u0S2Bueem8fucP5kzYSGpZ9PR6jR55fZcDjfdBpRHZzgDBBYnWyfBhqwJ7uKWZEGXW7OQJWeJ7mGT6VKxdRm7w4PJWPLFrSpgt8m8OLB2Xj2F4oiv5GLCvGOYw1QUj8TWNWGkndfhcspYwhXqNbdR419tw01mQcOWNl74/DRvPVSdQJZs9UaFmg0dpJzVY7fJaLWCqDgPN9+bRpdbM1g+OxZ1YXHH/Uews9O17PozLC8ELhAUD+zcEMaEx6uhKhI3DUznjodTMFlUb5H1i0sHOr1gw7IIvlntZOmS07R2N/bJy//nskhUBTr2yaJyrcAjLTSyjp07d1KvXj0mTpzIc889R+3atXE6nYwcOZLMzEzOnz/Pq6++yvnw86hK8Dcja86lD1UGuRzo/vGlRkVF0blzZzp37pz3nNPpZP/+/ezYsYOdO3eycOFCdu3aRVRUVJ4IN6rXmDWz1vtdqOpyFI/Kgk+X8cQX/qcThyRO97+MEIIZr8/lpw8Wezs9FPNFmMKMlKsez/urXyO6XOElFYUQnD6QSOrZdJx2F2FRFqo3qkKE5XdE9msgAq8s9e27FfhpSnyxLXeKQ29U+WTJEWo18s+lYnd4W7DIGh16XUHrQPF4IyPOn9Hz5vCanD3uWznGF784RYOWVpbMjGXZd95usooioSqg0Xp9qlVqOxkw6gLX98nK5w+3W2VeGlKTfVsKT9GtWsdBjwHpVKzmwmAUZGdo2PNXGOt+iUKrU/lxz75CrT+nQ+KB6xuQeq5gHKjA2wNNqxF43P/IXbPrc3h9+smAXUcuh8Q9bRqSlfbPgCRJULepnehybnQ6QW62hqN7TGRlQWb9RHYd3k7zuHZUtNb0aU1BczEGtnZjOwNGXeC6m7L9vkms3Qjd+3vjlYUQREdHU716dRITE/n+++/p3bs34K3yFZtbmUPLT6H6WkiqCGo1tjNp5WGQwpBiFyBpq/t9DFVVOX78ODt37mTnzp1sW7EL5zYtGhGczRlbKZo5iVP93u9/XnQvcWLPKeZ/vJS1c/5Eo5XxuDyoikCr1yAEVG9UhYHP38b1t7VBq/P/yxKO1Yis50AEnnqYek7LsPYNAw4bq9nIxuRV/jcTtTsEn0zNRm+qwN397MTHCARaNBoZVfHwx5JwFkwpX+KCzuWERXoY9uI5pr5RGaFS7HsyWRSi4jy899MxylX2umhUBf5aGcEbD1xeY0PQoVc2gx5PpnoDB1qtyCestlwZSRYkHjVQt2nBG4/DJjH1jUos/S5/O3FFKCCBzZCF5NAQJv37hiv4ZsNBKlTzvy6u0yGx6ddI3nnUNzHx4KbeoEroYzX89NNP3H3d/ez+5RCS8K9RaYtOuYydfMrnEp5uj8y835pzz/A5ec89/8wL/PjJQqoZayMrGipXqYyqUbigSeTIkSPUURKCLM8p6NArh9empyPFzCiye7i/rJm1no8fmYo9J7jkKFOYkV+yv/N7vzLR/RfWbBtblu3I6wQRFh1G4w71qN7Iv3zvfyM8JxCp/QimmSfAO6NjWDOnkt89xQwmhQ8XHAs4MSI1XWXY6No88ugoru/Qkm+nf8bkyd/QplZPsjfhs3vmEk3b53Boh6WItkEFkTUq4ZEqn/92OE94XQ6JoW0bkpmqQ9YIRk88w/V9skoMySssrtZhk5j1SXnmflb+su0EApUzHCNRPopbdnE9fdApBa3g8lWdfLHiCJZwxWcL0u2Ec6cNPNarrs9p3R48HIzYgh0rNpsNk8lEFWpR2Vq3QCfr4tAbVRq2tPLOnOM+3SiEAFXo0VgGkpJxO5OeX8amRdtwuV0F6vhqDRqcTic6jT6oKbzJovDq91VodctYJE2FgI6hKArnz58nMTEx77Hz130krkoDJbgwRHOEiUWZM/3er0x0ryBqan/w7A14f6td4rExOWyeW4FKVPe2vfYBvVFizOSjdLgpcCvb5pBZsOp6Fi7PZPXq1XTq1IkxY8bQuEETBlYaieLyLxhTZ1D9dpPIGpXyVdxMW3cInV5gy5X5fExlVs+PZuzkU7Trke1X6xshvJZmZoqWKa9XYuOvUQW2UYWKAyubWQ0aQQelNwap8CJPVes4eH/+MczhCod2mPlpUjx7NofhtMvIsiAsUqHHXencOiyNiBgPiccMvDiodomJDZejCA/r+AUVFYPBgNvlprXoSrgU5XeijsGkcPM9aTz0hu9t6Q/sMPHS3bWwZssE1dXSB2IrRTHr9JQimxK4XC6SkpLyCWpiYmJeE4TTp09z4cIFzGYzRqMRIQQ2mw2LI5LGom3Q7oX4KrHMOj3Z7/3KRPcKIhzLEVljA/brKmoY2oqbaZnQjoqZtXEleQuFFFaQ2WujKUTFRzLg+b8ZMCS4VFVFEbz2fhrvf5GT1wzU5XJhs9mop7agItWQS/kiBK/189QHiXTpl4nLKfHNWxVRVbh/zDlMFv9/yrZcmSEtG2LLLfoCVFA4yQFOy0e4TtyESRRdQtEU5kGWQfFIhfag0+pVJCAqzkNashbVD2tLIOhyd3tEAxtTp04lMTGRSGJowQ1oA0yz96em85mjBp7oUxdbbulXfjOY9fR96kbqda9epKimp6dToUIFypUrh8ViQZZlnE4nmZmZnDt3DkVRaNiwIU2aNKFhw4Y0atSIhg0bUqFcRQZUGIHDGvisU6vXcvsTfRj53lD/9w34rGX4j6EHSG+DsOFv/JfNJlB0w5l032TKHamLW1W8ls1l17S47Jg5ZNLkttos2/gLX/WrC5wPaugajURcjDci41JREyEEqqpyWhymglSF0rZ8wJtN9eMX8XTpl4n3jiO4+8mUgAQXvAtW3e7IYMmMooula9BQlbqcUA6SQhJVpFrIRcQN2IsRbyCvHGdKkv8FW2StzD1jB1CjcVVeeeUVzp8/z+CEEUipgX/ukixYMz+aW+5LK3Y7IeCVoTWxW0v/O1ZQOGdP5L1Z46iyvgpVqlShcuXKxMfHExUVRfXq1blw4QInT57kwIEDOBwOGjVqRIMGDfKEtVGjRlSsWLHIDhE97+/C0ikr8bgD62ohyxL9RvUKaN8y0b2CSJIOYr5DpPW/aO36uoih5c9NUcx8aS/p5zNR3SqFhUpdPr20EM6qhWtJ1aRyNimWqHrBjV0IgayJZPr0iQwZMgRZltmyZQu33nor27dvZ0Cz+9CnhV2RvmaJx4ycPGSgfGU3sRXcfrUt+jcmi2DAoyksmRFHceFnspCJoyKJ0jEqE1gmUjCoqERUtHD03CFcOjtVq1bFrLdgyAnDIwUeb+qwaZg3Ob5E0d210UJmqrbYOhnF4WudEp1RS52m1en65CCOHD/CgQMH2L9/PwsXLiQmJiZPVLt160bDhg1p2LAhcXFxJR7339z+RB+Wf7UaAhBdSZJo2L5eXndwv/cvcy9ceYTnKCJ9KKi5QEkLUCZWrDUz6Yk6ODJdfi1MCFkQ0VrLHff9yYBbjUW2BfcFmx2efvX/2jvv8KjK7I9/3jt3enoICb2E3kEJIBCkhCYiooDCuv5QQFRYFURXXQsqIhaW2JbmurqIigjsrgVBIYCiJkgTAelIb+mZPnN/f4yAQMo0AsL7eZ48PEzuvfNOcvOdM+c953xP8Pb7BQghaNiwIcePH6d3797s3buXbT/+wnW6PnjdF78n1mTxMu6FQ3QbmM/2DWZadQpvRrCtWOGJ4fXZuq5854WjHMDXtIjoHdWJ9saF9ZzBomkaB1O24bY4KCwsJD8/nyqGZJo62oedm1QUjc8PbC63s+6JEfX4MSs6ZNFFAWusBbfdjdfjvdCTUAWv5mY/OxC1XTRr3uyclECTJk0ibig555F/89+3vsQRZHOUJdrMmzkvUrNRYA1A5yMj3UuAUBtAlc/RbB9AybuA67w8rwroQN8SrKN44u5nqOp1B70TLHyCghw3+ntG4fZ8gE4XuiDq9Rrp3QZQtVZNZs6azc6dOzEYDH7H5n2H6aT0xu32VEpe1+sVFOXr2PBNVFhuyr+nej1nhaKr1wxs2LqVGI5yjUivVLdiDQ390Sj26HeiqiqqquJzaeXavQeD2ykwlNEFV1ygsOnbqNAFF8AH9iI76nVO8jYUohTrMalmDCYDMclRdLilNT2HXk+TJo0DauONBKOm/Ym84wWsXvh9QF2pQoDJamLq0idCFlyQonvJEEo8Iuo+NOs94FyF5soB3ykQRtBVQ5gGINTarPv+R+KcSXi00HJPAnjsrgW0WeukQb3Qe0FVneCWjHUUFX9Hckx1Xpxhp6BIsG/fPtrHpmMsMaNFoAMpEBQFFJ3Gwn9U5YnZ+8K+nk6nBbSRdFpyCsllv2UbdWxNiIpScJRcuGEWaRShUJUabHdvQOgFderUwX7MjZYf/rU1jXJbmU8d06MaNNxhjg3WfBp3jhlBq3atSE1NRa+/dN534E8TTHrnfmo1rs78FxaBEKUaGyiKwGA2kFSrCk8vnBh2+agU3UuMEDow9UCYepT6/fdfXoBOpxCifyZCU2hsbcXJkppUt/8HS4hBhBBgMnoxGRXuvs3JiJur02fYQZzulkRtSzhnE+9io+g08k+pbP7OitOmQGJ4Ft9er8BWVHGE7votFdS6uYGJ9xZy64Cf2f2ThcdvTz1nXOLFQ1BXacwu2xa2b99OtDGW1DDHfYK/kqK81ILTrkRkqI/eoCejZ2/ik+PCv1iEEEJw+2ODGfSX/mfa+I/uOYZq1KN5fWiaRuebOzBk4o00bt8gIs8pRfcy5+flu9E84d3xelWPiTswRttw2r7GGJKf1lnMJjCbFFYuqkW/Hg7/R9xKnLSl+eDjt6oCggO7jSTVcIc89+A0h/aW37rswY2oepQf369Fw/oGjAaBqgqK8tVK80hTUKitNeIw+7BRTJGzAJvhFFHu0G3qDSYfA+86We4xUbEekqq7KMpTKczThTxoyOPyYI0NvGuxMjFbTfS7uyf97u6Jy+E6Y9djiTFH3MD2UlvqScrB6/XiKgl9MtlpbCU27r5jNPF15/LF18WU2CKz2WW1CNJqpFaqRbpOp+GwK2dKrxbPTsJhC+82LszVse3H8sVA1QlWrFRp2dSI1aKgqv53Ga+7cuc6CgQd1Qwsij///OCzuZitoUf6mgb9R5Rmi3OWanXcZH66k3e+28biHVt4fOY+GrcJfvMyLjkOg8mAy+nGF8QM28rGYDKQkBJPdHzURXEMl5HuZczGjRvRCV3YIx29Xi9GvZEZM96kZZd0vJYV+MT7CK0QzWcPK0osOFW5Fune8+bo/rgqGodNCXnYjL1EnImay0bj1jGnSEi48LVaY71EZOZmgAgEmldwreF6Js1vTecWH/GfN7w4bMHnlfVGH536lBBXpfzclRCcUwfd5YYC0noWcuyggckj63F4X8UDjnz48Pk89DXc5hdczd9Gm3FHNwb9pR81GlQLau1/ZGSkexmxd8uvLH9vFUte/4LP537Ngn8swmCOQBQpoHZqLfLz89m7dx8OBqEkrUKJn41i6oIWRm6gcuO8C8VN0wTzZ1QNuWjf41b4+pPyZ+fGJngZcu+JUr/XoKU9zLm+waOgEK3GkRpzkOgohRfm78Fk9RGM+Kt6H0nVXYx8cm/Qz6/T+UW4VgMnbyzdQYOWFUe9Cgr5x4rwerxoPn/VRUmBjU9nLWNMq4k8lP4kxw+Un+a4UpB1upcYl9PNN4t+4KOXlnBoxxGETsHr9qLTKTicDgQK+LSwXIBVg47+z3Vl96GdbN68mc2bNyOEoFWLVjw5UUfndr+iU0KLFCcOTmXL96WPV4wkeqMPnarhcYlSRE7jr2/tp1Pv4GYvOGyCSbc0KHc6mhAac1Ztp1aDsrfuX36gFisWxQXV0hsuGj66Dijgydl+k9HdW0w8OjQVW7GC11P+OgwmH9XrOpn28W6scfHodSVA6LY6Rfk67stoxPFDodmiAyg6BWuMhVdXTaZei9ohX+ePgIx0LyHH9p/griYPMOOeWezZtB+n3YWj2IHb6fYXbHsFmjc8wQVo1a054yfdz5TJUxg/aCJ9Y4bSLr8HyqoEksTxkAUXIH1APiZLeNUDZaOhN/io38zO5Hf28u5327nprpOYrV5M5+QxBS+Nr0PWf2Owl1Qce7td/uHYj92WWuE4yptHn6BqBY4fg8ecQB+63oSEQOGHZbE4bP7Xm9rCwcyvf6H/iFyMZl+pvxOz1UtsopvhDx4l89OdxCV6EeTiJB1nGOVgligvo586HPoFAJ/XR1FeMQ93f4YTB8vvjvujIyPdS8TRfce5r/2jlOTbwhp/VxGmKBNPfvQQ3/13HcveXYWiiHM6cOZkbad2o9BtVUqKFG5r3RxXgCMag0OjWfsS/v6fcx1hXU7BN5/F8s3nsRScUlF0GglJbjrdkEdaz0KMBh1CaHh9Gnr1rAjbihUE8MX8BBbNSeJEAJHZ22u2UTO1YkV69u46fL88psIoM5IYLV5mr9hBSu1z1+ewCbKWxPPdshgKTqnoVI3EZDe9huRxzfVF59giaRocOe7BbFSIiw29NMzlEIy4tlnYxqGKTqHjgGuYvPiRsK5zOSM30i4BTruTidc/TUleCb4gZqAGjdCwU8TbT8zn4C9HcDkuFA9HAB5b5WGN9pE+MI+vFyZeBFdcwc5NFk4dVUlMObvZYzBq5RgsKoCGz+cvLSux+di3U2X/ljh+/sHK6k/jgnqDiIoLLIq//uZ81i4t3U3kYqEISq3cMFk0+g7Ppe/w8qsSwL9JVj1Z/c1aKvS1+HzQ9/Zclvyzpt8A4LfNsqCv4/WRs3QjeccLynRn+aMj0wuXgFULvqMwt/iiCq5Or8MUZ8TusrNz4x5cZbgVH95rJNzqneEPnUQ1+i5ag8Sn7wZg5X4eigIGg8BqUajX0EthnsJXC+ODjsgDFaL3Xk656F1p5+Pz+T/aR4KypnEFismiMXisxqipw9Eb9WEVdAgBn89ZHtZ6Lmek6F4CPnppSanthpFAQ8ODm1zXCTbm/YDBZUFXTtfS/95NxBlmtFujjuC1Nc9jjbGE/cd7Pm6Xwpac8mciVITFIrhp5CmG3n886HNtRRWXxO3YZOb4wcpvadWA+KqhTxiLNHb3EabPfBWXOzwXYJfDzbJ/rYrQqi4/pOhWMjvX7+HY/tLLj4JBEz48uPFo/i+35sKLF5upgOjOCne8NoiudXtdYKVyPlt+sFKQG06trQrmQTRo15Q3s18kpX5VdIbI3lYlheHXAputGiMmHKNWg+De7L79PIaKNGTR7CTczsqNclW9Su87GuMI0rHjYuLTfBzedwS3O/w3gqK80F1OLnek6FYyv+TsjkgtvZ0SbA1PkDqgOoMf68eTH05kwYE5rLUt579rFtG7Yz+KTgRy4wo+zKwa0K5/6agI650A1GxUnXd3vE7amOZY6xhRdJG5vYxlTL8KFlXVGDQquDe8RXOSKkwbbN9gweer3D8lDY3q17UmAvoWMRIS6/LAAw9gNpVuZxQMl3PHWrhI0a1kSgpseCLwl1K3Vj1++OVb5v7vLca/cA89h6VTpcbZ3GfWR9/iLCOPez5fzE9k3cqYM+VHgVJi8zH1DQWfOOtkK4QgpUkVqvWNZszLd4Td3CGERrU64X1cPY2qh1635mE0Bx4dnjyqJyfHWm7+3V5cuX9GQgdavItHn3mcfrcdwma/HAqQTFgSbuHajtegN4SfarFEV854x0uBFN1KxmDSRyQC1JvKv7FPHDgVhDus4MX7a5OzIrA6Vz8mSsR9TJ2xi6ZNm+JwnP3Yrtfr8Xg89L7z+rCjeqPZxw13RK5u0+sVpPUsCuqcaRNSQJQtAmXNob0Y6A0qNRvWYMmu93nvvffQW9pSpPs7Hq8R7yXNNPgQ5mE0u64RHld4QYVO1dG+b5vILOsyRIpuJZNYPR41ApFAUs3yd/SD9X7yuBWeH1OHmU9X5+iveuwlSilVDXrACPprEPFzSKk3gV27dpGbm0u9evXIzfWXKKmqitvtJjo+is43p6Eooec746p4aNY+PGeI36PqNeKrBj5ESCDwnYqj0PNqmcJbtXqYg2YDxGQ1ktqmLq+tnYI5ykx+fj5xcXFUqz0Au3k+Cz+14/FciqhXAWM3hC6RuKRY0vq3Q4TxO9fpdQx+cEAE13d5IUW3kknr3w4tzHyVOdrEwPvKN8WLTw6lxlGwdH4V7uzYlCdG1GPVf+I4erAq6FJB3wYswxFVPkNJ/ABh7ABASkoK+/btw2AwUK9ePfbu3Xsm0gUYMnGgv4QoBIxmL8PGHY/ILNfTKIqGwRCkMGkw7eFveGVuK07mQlHxub+/m+4+GdakL/ALasNr6mM0G9Dpz24c6lQdRouB+q3q8NDssfx9zXNExfmrOQoKCoiLiwPg0y828+qcZBZ8Fh3WOkJCWBHRj57575CHB2I0h96iV69FLeo0rRmJlV2WSNGtZEwWI73vvB5VH/qOvE6n47qB15Z7zLV92mCODnVDQ/BzdhRTx9fiuvRj3HSXyuvzOrP94M2gu3BqflRUFLt27aJu3bo0a9aMAwcO4Hb7o8mG7eoz4slbMVoqnkT1ewwmH+3SiwMq8A8Gj1tQHGQ1hNvpZsNnP6MztWFn3tt8u+UWvlvnxuWGwiIfza/LRSihR5h6o55bJtzIWznTeDPnRUY+dzu9R6Vz3HSAnmM6k/ntFGZtfIUet3dB1Z+tRjkd6QIsWrSIkpISaqfeBCK8ErvAEX7Bjf8nQj07L6Fph4a0vr55SPl8o8XAfZl3RXKRlx2yDfgScHDnEe5p83CZDQvlYTAbGPrwQO6cPKzc47weL0NSRlGUG3rpTVS8lZk/TyNrVRbLly9n+fLleL1eevXqRUZGBr169SI5OfnM8ZqmkZGRQVZWFh07duSbb7458/h7kxfw8Sv/xWmr+DXrjV7adrXz5Jw9GMqxkQkFh10wvm8jft0Z3BuSzqggri9k7dq16PV66tatS5NGyWz48SuaNKlH+6rDWTP/l5B+p0azgX/tfJ0q1RPOefyTTz7hkUceYf369cTGXvjJZcqUKZSUlPC3v/2N5ORkzGYzBw/sR82/HrS8oNdxFgV/s6qgdONU4U+1KFUQ8TP9nn/n4bQ7mdDtafb/fCDgDV2j2cAj744j/dZOYaz98keK7iViyRtfMPev7wdkiHcavUEltU1dpq9+NqAd4vcmL+DDaUtwO4IfhK4JHzeO680DmfecfUzT2LVr1xkBzsrKonbt2mRkZJCRkUHXrl2xWCx069aN1atX8/777zN8+PAz58/425v8Z/qXWJUY3M4LjTbNUSaMViOb8r9n26lX2f3TX6mZUoKqKqg635nBP+GkG3ZsMjO+X/B+9EKFez8aTnR0NAMGDMBkMpGSksKhQ4fIz89H82k83P0Zdvy4G7cz8I0ko8XApHfG0W1I6UJz7733kp+fz/z58wE3OJah2f4F3kM47AV4vHpsrhpMemortRvczpQXpuIrfgNP/puoaigpDwHG7oiY59BsH4LtPdAc/h8APtA8YOyKsI7y5/bL+WW4HC6m/uk1sj9fj9fjw+spfT3mKBNCETz9ySTa9WwZwpr/WEjRvYR88OJi3n9+YUDRn8FsoG7zWry0/EmssYF9fCzMLWJ0ywnkHS0IyjVWCIEhSmW9YRVz351D//79Sz3O4/GQk5NzRoQ3btxIWloatWrVYtmyZRw7doyXXnqJiRMnApCens59993HtY078EnmZ+xctxt7sQOj2UD1BikMGt+f2m2q0bRpU06dOkXz5s2Z/vJ41nw1hcceHYvb4+bkwXepXye0HLGtWGH6hFqs+TQu6HNdOFlvXYnL5SI2NpaZM2cyZMgQZs2axahRo/zXL7IztuPDHNp+FEWrOHNnNBsY/9Yo+tzZvcxj7HY7nTq2559vXEubRpsB7TznaD9FxT4s1gR0MQ/wxQovnRo/R1xMKO9OJkTiBwh9cwA0zQu+XNAK/NGtiEcowVnu/Lr9EIszP2P5v1ejU5UzQu1xeUipX5Vhjwyi25BOGEyVPKrtEiFF9xLz3f/WMfev8zi2/yRuh+uCetDTUcCN9/bhz88MxRDkptTBHYf5S6cnKCkMbJqZoggssRZeWzuF/Sf2MmzYMEaPHs1TTz2FUoHFRFFREatWrWLu3Ll89dVXaJqGzWYjIyODe++9lwkTJrBzp99CvCyOHDlC27Zt2b17N0lJSeTn5/PQQw+h0+lITU3l08XPs+SdOMzm4ATF7RIc2W9gbM/GeIP0nNPQcEQX0fPBjixcuJCEhATWr1+PzWajU6dOdOjQgbS0NNq3b8/QIUPp33ww25ftweV0Yy86twNONagoiqBx+wbc9cJwWnRuUv5za3aKDw5HeLZgCeA1e30GPv5vEW2um0aT5BdBC6bywwSxU1HMNwRxTuA4bE4ObD9EcX7Jb5Y4cVSrn1zxiVcYUnQvE35Zt5tPpv+P7dm7sBfb0Rv1JNVM5KZx/egyuEPQYvt7ju0/waO9nyX3SD72cmY+mKNMxCfHMm35U6TUrQr4RXDYsGFERUUxb948EhISyjz/NCtXrmTy5MnMmzePZ599ljlz5qAoCgkJCQwZMoSMjAy6d+9+ZhPo9/z666907tyZBQsWMH78eNatW8fJkydp3LgxmqYxduxY8o7M4+WnjAGJEIDHIyg4qeP+Po3IOxH8z1FvUnl15bPE1Y6iWbNmLF26lE6dOrF48WJiYmLIzs4mOzubVatWkZ+fT8+ePUlrn0aSrjr7vz1K4bEiXA4X1lgLLdObMWhcv4DERtO8aHl3g+tHSs+tlo7XZ0BnHYqw3IKW+3+AC7TyhpQbAAURNx1h6hXw80hCQ4ruVYLP52Pjii0sePk/bF6z7RwRdzvdtOjSlKGTBtK2Z8sLIlq3282jjz7KkiVLWLhwIe3atbvg+prmAPtnaLZ/4XEewOOxYTLFgVqfFd/Xo+9NL9KmzTUMHTqUFStW8O2339K8efMz+eCOHTtiMBjYs2cPPXv2ZOLEifz000/MmjULgPbt23Pq1Cnmzp1Lr169ePTBa5nyiAN/90XZglRconH4iMKTQ5qSfyy0N64ajarxzrZMXnnlFbZv3052djaKorBp06Zzfr5t27ZlwoQJxMfHk52dTU5ODtnZ2cTGxtK+fXvS0tJIS0vjmmuuISqqYrcNX8l8KJpGaK4OZkT8LNA3R7MvgpK3QSsEzQt4AB0Ivf9fywiE5XaELiWE55EEixTdq5Dco3kc3XuckkI7lmgz1epXJSGlfJ8wgAULFnD//ffz0ksvMXLkSAA0zYVW9CrYPwREqR9n7U4dXq/g2VePs/yb6mRn56BpGmvXrmX58uV89dkKSn7xUEOpi/Dq8Hm8KAaF5EaJPPz6eIrVfIYNG4aqqiRXcTL2zxZuHSCwWsyAD03zbxS6PeDxaHg8YDIpnCqsjRozFnNMT4Y2GoXnpIYIINf6e4xmA09/8jDX9mlDy5YtGTlyJJMmTeLnn3+madOmZ45buHAh06ZNIzs7+5zNpdObj6ej4ZycHDZt2kT9+vXPEeKWLVui1+vPOU870QN8h4Ja7zkYuqIkvH3merhzwLMTfMX+/Kyupn9TrBLdnCVSdCVBsnXrVgYPHkx6ejqvZU7FYBsL7l+Aiqd3+TQjC/+Xz2NTFTZt+glnoZvpo//BpqytgFbKrr+GalRx+Bxk3NeO67r9m7Q2oOoVVN2Ft63XB0LoUNQ6EDcdRd+M3bt3c9NNN9Hh2o4o62M4vOsorgCrORSdwjW9WpHWvx3WugbGPjgGh8NB8+bNWbZs2dnn9Xpp1aoVr7zyCv369avwui6Xiy1btpwjxHv27KF169ZnhDi9k4UalslAON14BkTSVzKCvcyQoisJmsLCQkaPGskjY7bSurmCIgIvSfNh4v2PC3jiKY32Sg9shfaANvj0Ri9/mniU28YF4hirghLPmi3jGHr7gzzzzDOMHTsWh83JU4Om8dOarXhcHr/pZwAYTHrcbjcizseG3O/YcmQjVatWPfP9Dz/8kMzMTNauXRvyPOGioiLWr19/RoSH9PmRm/spYbVQgwERPRFhHRnGNSSRRoquJCR8xe/hzn8RvRr8cBOfZuKvtyezcXUsIggTd6PZx7ipB+k9tOLCf69PcOiIl0P2N+jcpS/Hjx/nrbfe4h//+Aftm3QiVW3Gru/2oTfqKSosQmhKQGsRKlx3YxqPz38Qg1GP1+ulRYsWZGZm0rt374BfS0X4Tv0J3NnhX8gyEiXmsfCvI4kY0iNNEjSapoFtbkiC67+Ag2H35rJpdVxQpzntCq//tSYdehYSm1h+4b9O0ahZ3YTF8T1jxizi448/ZtiwYaxevZrGjRsD/jrmLWu28/SwF8FNQBPRNA+sW7qRJ/q/wItf/o0PP/qQxMREMjIyAnoNXq+XgoIC8vLyyv2aMHILjeoFdMkKFhy6tbrk4iBFVxI8rh/8O+EhoijQskMxVaq5OHkk+IL4pR8kMGxcxcPIFeFCcc6jZs0R7Nixg6SkpHO+H5MQzeLXPwePgCD8zZx2F1u/38HUu2YwOyuTcePGsWDBggqFNC8vj+LiYqKjo4mPjy/zq379+kTHHAZ2BPujKeWHUHGJn6RykaIrCRrNvjAiEVTXAQUsnpNU8YG/w+VQWDQ7iSH3naCCXg0A9CoUnvgfmZleMjIy6NSpEwaDAa/Xy+a1P/Pz2l/AF3ze1GV3sXLetxRaili+fPk5opmYmEiDBg1KFdTY2NgKm0wAfMV6KJ5BIBuUZSIsCEPb0M+XXBSk6EqCx3uEcKeTG0waVaqFNofWaVfYsdFCk3YV7+xHRyn07OLh3kfnMX36dBwOBzqdDp/PRws1jSR3jaDyyucg4Im7JzMp8y+hnV/epS23oBX/PcyLmMHQNTILkkQMKbqS4NEiM7TbaA5NuIUC+ScDv3XbtKrJ229PJD7eX4u8efNm1mR9w75/54YuuICi6di4ZBtkhnyJMhFKLJqpNzg+A0KZv2wEy/8hhJzeerkhRVcSPEooA9LPxeeDvBOh335uV+BimZycQrWmPc/8v127dlzfvid/Wfz4BbMRguXEwVN4PV50aviOxecjou5Hc34d5PwEAAFKFMJS/vhPyaVBvg1KgsfYBQjPONBhU9i2LvRh21GxQYwtVKpc8JCt0BZQbrUiVL2OksLI2Qn9HqHWR8S9CQQz+/e3weIJ/0YocRdlXZLwkKIrCRphHkxoH3nPYi9W2LCm4vkDpeFxCRq2ClDohBVhurBLzGgxBjXussy1eLyYrOFbjpeFMHZGJLwNIooK3+iEFZQkROInpQ4Wl1weSNGVBI1QYsDUl1BvH4ddYeHMJLQgyrROo+h8dLmhgKjYQEXfAMb0Cx6tUiMBtzP44e7nY44yhTUBLhCEoT0iaTVEPwJKdRCW3yx5zL/9awK1CSLmOUTSCoQaiQJfycVC5nQlISGixqE5vyp1oHYFZ2IvUVn6QfluxmWhN2gMHlNxja4fI1jvRIgL862xVWJo2bUZ67/aHNI6wD8bt//oyhmFKJQohHUEmmU4uDeD96A/16tEgy4VoW9YKeuQhI+MdCUhIdQ6iLiZBJdvVEBE8+uRF/F6gs8JG0w+2nQupmGrQGqEdaBLRlj+XOYRQycNxBwVempACMGgcRUPuIkkQgiEoTXCfAPCMgRh6isF9w+GFF1JyAhjB0TCeyBigAosXIQVlBRE4mLaZgzgrqnDMVoC70YzmDRqNXTyxKz9ARyt95smJsxDKGXnjdv2bElMYjSh1ByrepVW6U1JrhNcc4dEIgfeSMJG0+z+AeYls8F3DNDhFzIFNDfoGyOso8HYAyHOZrS+mreKv4+ZjRCU6Rir6BT0Rj1tezTl8Zn7UfkGj8eN0VBaPlj1P7e+NSL+NUQALbC/bj/E3S0fAG/g+WVFp5CQEsesja/8JtoSSeBI0ZVEDE3TwLP9t3yj3b/jrqYi1DplnlN4qoil/1zBwr9/iqPEgaIoaJqGEAK3003XWztx60MDaNDWvzmkeQ5yZM8rWJXPMJtVVNX4mxuCAuZBCOudCLV+UOvuc11/9Fvicds9FY6Z1BtVEqrFMz1rMlVryyhXEjxSdCWXBT6fj50/7iHvWAFul4foeCsN2tYjKq70Wt4dO7Yx/Lb+3H3XbdwzdgJCFxeyA0Lfvn25a8QoDmQdZ+WH3+Jyu9DOH6CmgsVs5oZ7ejH88VvKXJdEUhFSdCV/WA4fPkzfvn3p0aMH06dPD7nZoW/fvjz44IP07dsXW5Gd9Ia9uLZOpzPdzhu3buD+50dz219uuejlYZIrH7mRJvnDUr16dVavXs369eu54447cLnCnwlRUJzPHtc23lw7jVkbXqHesCqk3pLMnyfdJgVXEhGk6Er+0MTFxfHll19SUlLCjTfeSHFxcVjXy8rKIj09HZ1OR2FhIdOnT+epp56K0GolEim6kisAs9nMwoULqVWrFj169ODEiUCbJy4kKyuL7t27A/Daa6/Rp08fmjRpEqmlSiRSdCVXBqqqMmfOHHr37k2XLl3Yvz+Qet4LWblyJd27dyc/P5/MzEwZ5UoijhRdyRWDEILnn3+ecePG0aVLF3766aegzj906BC5ubm0aNGCGTNmMGDAABo2lN1eksgiZy9IrjjGjx9PUlISvXr14pNPPqFLly6lHqdpLvD+StMGDqLNv/L92j1069aNgoIC3njjDbKzI+DGK5GchywZk1yxLF++nBEjRjB37lwGDhx45nHNewjN9j7YPgR8FJfYMRqNaD4nBcVVWJndgKzvVGbOfPvSLV5yxSJFV3JFk5OTw8CBA5kyZQojR96BVvgk2E9b4JQ+2rGo2IfFGoOa8BbC2LFS1yu58pGiK7ni2bFjBwNu6MOXC2pRp1o+gTvsmiD2VRRzxkVcneRqQ4qu5Kqg5MhYcK7AHPQkR5Pf+sbQ+mIsS3IVIqsXJFc8mnsrZrE2BMEFcKAVPhPZBUmuaqToSq54tJJ3gDBahD270Dy7IrYeydWNFF3JFY3mKwTHUsIz0vT8JtwSSfhI0ZVc2bg3QIgjH8/iBWdWJFYjkUjRlVzh+AoJxY7nAoI24JRISkeKruQKJ3ib99KRfyqSyCDvJMmVjZJARIRXSC80SWSQoiu5sjFcQ/jpBQOYB1Z8mEQSAFJ0JVc0QhjBPAQIbzNNWEZEZkGSqx4pupIrHmG5g9BvdQUM7RG6lEguSXIVI0VXcsUj1FpgHQ2YQzjZioiZHPE1Sa5epOhKrgpE1HgwDwIRqPAqIKIQCf9CqLUv5tIkVxly4I3kqkHTNDTbe1A847cHSqu91QF6UOsj4jIRap1KXKHkakCKruSqQ9Nc4FiKVjIbPDvxC60P0IN5AMLyfwh940u8SsmVihRdyVWNpvlAs4HQ+ysdJJKLjBRdiUQiqUTkRppEIpFUIlJ0JRKJpBKRoiuRSCSViBRdiUQiqUSk6EokEkklIkVXIpFIKpH/B/5rqL47B9x2AAAAAElFTkSuQmCC\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": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"MFA prediction: q_eq = 0, -0.2563\n"
]
}
],
"source": [
"n = 200\n",
"p_e = 0.05\n",
"\n",
"initialize(n = n, p = p_e)\n",
"\n",
"p_i = 0.04 # infection probability\n",
"p_r = 0.5 # recovery probability\n",
"\n",
"observe()\n",
"n_steps = 100\n",
"\n",
"states = []\n",
"for step in range(n_steps):\n",
" states.append(len([x for x,y in g.nodes(data=True) if y['state']==1])/n)\n",
" sync_update(p_i, p_r)\n",
"observe()\n",
"\n",
"plt.plot(list(range(n_steps)), states, 'black')\n",
"plt.show()\n",
"\n",
"s = (n-1)*p_e*p_i\n",
"print(f'MFA prediction: q_eq = 0, {1-(p_r/s):.4f}')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"b. Question: Why does using synchronous or asynchronous updating make a difference?\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Asynchronous updates do not guarantee that all nodes in the network have their states checked and updated, while synchronous updates do.\n",
"\n",
"\n",
"Asynchronous updates might lead some nodes in the network to never change states (or even be considered for it). With synchronous updates, since all nodes are being selected at each update step, we will have much larger fluctuations in the distribution of states in the network. It would take longer to converge a synchronously-updated model since nodes can change states at every update step, and so there is much more variability if the probabilities involved in the model (notably the probability of infection) are even ($\\approx 0.5$). If the probabilities are unbalanced, then synchronous updating should converge more quickly."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"c. Question: For the mean field approximation described in Section 18.5, why is it appropriate to use the synchronous update method and not the asynchronous one?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the MFA on the SIS model, synchronous updates are more appropriate because they modify the whole network at once, and so depend much less on local properties of the network than asynchronous updates would. Because MFA is an approximation method that deals with global properties, having update steps that updates the network globally is more intuitively appropriate than updating it locally."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2. Experimentally confirm the \"your friends have more friends than you do\" observation from pp. 421–422 in the textbook.\n",
"\n",
"a. Generate a random network with 1000 nodes and (approximately) 20,000 edges, so that the average degree of a node is 40. Do this for each of the following types of random networks and compare your observations: Erdős-Renyi, Watts-Strogatz, Barabási-Albert random graphs.\n",
"\n",
"\n",
"b. Write code to compute the average degree (which should be 40 — this is just to confirm that you generated the graph correctly).\n",
"\n",
"\n",
"c. Write code to compute the average degree of each neighbor in the graph. To loop through all neighbors in the graph, loop through all edges and then through each node attached to an edge.\n",
"\n",
"\n",
"d. Question: How does the average degree of neighbors (the number of friends of your friends) compare to the average degree of the graph (your number of friends)?"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"n = 1000\n",
"n_e = 20000\n",
"\n",
"p_e = 2*n_e/(n*(n-1))\n",
"\n",
"m = int(n_e/n)\n",
"\n",
"erg = nx.erdos_renyi_graph(n, p_e, seed = 2020)\n",
"wsg = nx.connected_watts_strogatz_graph(n, 2*m, p = 0.25, seed = 2020)\n",
"bag = nx.barabasi_albert_graph(n, m, seed = 2020)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Average degree of Erdos-Renyi graph: 39.822\n"
]
}
],
"source": [
"er_deg = list(dict(erg.degree()).values())\n",
"print(f'Average degree of Erdos-Renyi graph: {sum(er_deg)/n}')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Average degree of Watts-Strogatz graph: 40.0\n",
"Average degree of Barabasi-Albert graph: 39.2\n"
]
}
],
"source": [
"ws_deg = list(dict(wsg.degree()).values())\n",
"print(f'Average degree of Watts-Strogatz graph: {sum(ws_deg)/n}')\n",
"ba_deg = list(dict(bag.degree()).values())\n",
"print(f'Average degree of Barabasi-Albert graph: {sum(ba_deg)/n}')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def neighbors_degree_ratio(graph):\n",
" neighbor_deg_ratio = []\n",
" for node in list(graph.nodes):\n",
" for neighbor in list(graph.neighbors(node)):\n",
" neighbor_deg_ratio.append(graph.degree(neighbor)/graph.degree(node))\n",
"\n",
" mean_ratio = np.mean(neighbor_deg_ratio)\n",
"\n",
" plt.hist(neighbor_deg_ratio, density = True)\n",
" plt.axvline(mean_ratio, c = 'red',\n",
" label = fr'Mean neighbor deg/node deg = {mean_ratio:.4f}')\n",
" plt.xlabel('Ratio')\n",
" plt.ylabel('Frequency')\n",
" plt.legend()\n",
" plt.show()\n",
" \n",
"neighbors_degree_ratio(erg)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def avg_neighbors_degree(graph):\n",
" neighbor_deg = []\n",
" for node in list(graph.nodes):\n",
" for neighbor in list(graph.neighbors(node)):\n",
" neighbor_deg.append(graph.degree(neighbor))\n",
"\n",
" mean_deg = np.mean(neighbor_deg)\n",
"\n",
" plt.hist(neighbor_deg, density = True)\n",
" plt.axvline(mean_deg, c = 'red',\n",
" label = fr'Mean neighbor degree = {mean_deg:.4f}')\n",
" plt.xlabel('Degree')\n",
" plt.ylabel('Frequency')\n",
" plt.legend()\n",
" plt.show()\n",
" \n",
"avg_neighbors_degree(erg)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bgWnA6PwKEfF2RMwFNlUrXxcRL+aefwgsATpnGKuZmVWTZYLoDLyRt1zGF/iQl9QF6Au8UMP6cZLmSZpXn5vXm5lZ7bJMEEopi3ptQNoJeAC4NCI+SKsTEZMjYkBEDOjQocMXCNPMzNJkmSDKgH3ylouBtYU2ltSaJDncExH/3cixmZlZHbJMEHOB7pK6SmoDnAVML6ShJAFTgCURcWOGMZqZWQ0yG8UUEeWSJgAzgSJgakQslnRRbn2ppK8B84BdgC2SLgV6AiXAt4CXJS3MbfJHETEjq3jNzKyqTO8HkftAn1GtrDTv+d9Iup6qe4b0axhmZtZE/EtqMzNL5QRhZmapnCDMzCyVE4SZmaVygjAzs1ROEGZmlsoJwszMUjlBmJlZKicIMzNL5QRhZmapnCDMzCyVE4SZmaVygjAzs1ROEGZmlsoJwszMUjlBmJlZKicIMzNL5QRhZmapnCDMzCyVE4SZmaXKNEFIGiFpqaQVkiamrD9Q0nOSPpN0eX3amplZtjJLEJKKgFuAkUBPYKykntWqvQt8H/j5F2hrZmYZyvIMYhCwIiJWRcRGYBowOr9CRLwdEXOBTfVta2Zm2coyQXQG3shbLsuVNWpbSeMkzZM0b/369V8oUDMz21qWCUIpZdHYbSNickQMiIgBHTp0KDg4MzOrXZYJogzYJ2+5GFjbBG3NzKwRZJkg5gLdJXWV1AY4C5jeBG3NzKwRtMpqwxFRLmkCMBMoAqZGxGJJF+XWl0r6GjAP2AXYIulSoGdEfJDWNqtYzcxsa5klCICImAHMqFZWmvf8byTdRwW1NTOzpuNfUpuZWSonCDMzS+UEYWZmqZwgzMwsVaYXqc3SdJn45+YOwcwK4DMIMzNL5QRhZmapCkoQknplHYiZmbUshZ5BlEqaI2m8pPZZBmRmZi1DQQkiIo4EziGZQG+epN9JGpZpZGZm1qwKvgYREcuBq4ArgW8Av5T0mqRTswrOzMyaT6HXIEok/SewBDgG+GZEHJR7/p8ZxmdmZs2k0N9B/Ar4DfCjiPikojAi1kq6KpPIzMysWRWaIE4APomIzQCStgPaRsSGiLg7s+jMzKzZFHoN4jGgXd7yDrkyMzPbRhWaINpGxEcVC7nnO2QTkpmZtQSFJoiPJfWrWJDUH/iklvpmZvYlV+g1iEuB+yStzS13As7MJCIzM2sRCkoQETFX0oFAD0DAaxGxKdPIzMysWdVnuu+BQJdcm76SiIi7MonKzMyaXaE/lLsb+DlwJEmiGAgMKKDdCElLJa2QNDFlvST9Mrd+UbXrHP8iabGkVyT9XlLbgl+VmZk1WKFnEAOAnhERhW5YUhFwCzAMKAPmSpoeEa/mVRsJdM89DgVuAw6V1Bn4fm6fn0j6A3AWcEeh+zczs4YpdBTTK8DX6rntQcCKiFgVERuBacDoanVGA3dF4nmgvaROuXWtgHaSWpEMqV2LmZk1mULPIPYEXpU0B/isojAiRtXSpjPwRt5yGclZQl11OkfEPEk/B9aQDKd9NCIeTduJpHHAOIB99923sFdjZmZ1KjRBXPsFtq2UsupdVKl1JO1GcnbRFXiPZIjtP0XEb7eqHDEZmAwwYMCAgrvAzMysdoXeD+JJYDXQOvd8LvBiHc3KSO4fUaGYrbuJaqpzHPB6RKzPDaf9b+DwQmI1M7PGUegopu8C9wO/zhV1Bv5YR7O5QHdJXSW1IbnIPL1anenAubnRTIOB9yNiHUnX0mBJO0gScCzJVONmZtZECu1iupjkovMLkNw8SFLH2hpERLmkCcBMoAiYGhGLJV2UW18KzCCZKXYFsAE4P7fuBUn3k5yllAMLyHUjmZlZ0yg0QXwWERuTL/OQG1lUZ39/RMwgSQL5ZaV5z4Mk+aS1vQa4psD4zMyskRU6zPVJST8iGXY6DLgP+FN2YZmZWXMrNEFMBNYDLwMXkpwV+E5yZmbbsEIn69tCcsvR32QbjpmZtRQFJQhJr5NyzSEiujV6RGZm1iLUZy6mCm2B04HdGz8cMzNrKQr9odw7eY83I+Im4JhsQzMzs+ZUaBdTv7zF7UjOKHbOJCIzM2sRCu1i+o+85+Uk026c0ejRmJlZi1HoKKajsw7EzMxalkK7mC6rbX1E3Ng44ZhZY+oy8c/Ntu/Vk05stn1b46jPKKaBfD7Z3jeBp6h6LwczM9uG1OeGQf0i4kMASdcC90XEBVkFZmZmzavQqTb2BTbmLW8EujR6NGZm1mIUegZxNzBH0oMkv6g+Bbgrs6jMzKzZFTqK6TpJjwBDckXnR8SC7MIyM7PmVmgXE8AOwAcR8QugTFLXjGIyM7MWoNBbjl4DXAn8MFfUGvhtVkGZmVnzK/QM4hRgFPAxQESsxVNtmJlt0wpNEBtztwcNAEk7ZheSmZm1BIUmiD9I+jXQXtJ3gcfwzYPMzLZpdSYISQLuBe4HHgB6AFdHxM0FtB0haamkFZImpm1b0i9z6xflzxorqb2k+yW9JmmJpMPq9crMzKxB6hzmGhEh6Y8R0R+YVeiGJRUBtwDDgDJgrqTpEfFqXrWRQPfc41DgttxfgF8Af4mIMZLakIyiMjOzJlJoF9PzkgbWc9uDgBURsSoiNgLTgNHV6owG7orE8yRdWJ0k7QIMBaYARMTGiHivnvs3M7MGKDRBHE2SJFbmuoJelrSojjadqTqZX1murJA63YD1wH9JWiDp9poujEsaJ2mepHnr168v8OWYmVldak0QkvbNPR1J8qF9DMlMrifl/tbaPKUsCqzTCugH3BYRfUmG1251DQMgIiZHxICIGNChQ4c6QjIzs0LVdQbxR4CI+B/gxoj4n/xHHW3LgH3ylouBtQXWKQPKIuKFXPn9JAnDzMyaSF0JIv8bfrd6bnsu0F1S19xF5rP4/H4SFaYD5+ZGMw0G3o+IdRHxN+ANST1y9Y4FXsXMzJpMXaOYoobndYqIckkTgJlAETA1IhZLuii3vhSYAZwArAA2AOfnbeJ7wD255LKq2jozM8tYXQniEEkfkJxJtMs9J7ccEbFLbY0jYgZJEsgvK817HsDFNbRdSHInOzMzawa1JoiIKGqqQMzMrGWpz3TfZmb2FeIEYWZmqZwgzMwslROEmZmlcoIwM7NUThBmZpbKCcLMzFI5QZiZWSonCDMzS+UEYWZmqZwgzMwslROEmZmlcoIwM7NUThBmZpbKCcLMzFI5QZiZWSonCDMzS+UEYWZmqZwgzMwsVa33pG4oSSOAXwBFwO0RManaeuXWnwBsAL4dES/mrS8C5gFvRsRJWcb6VdRl4p+bOwQza8EyO4PIfbjfAowEegJjJfWsVm0k0D33GAfcVm39JcCSrGI0M7OaZdnFNAhYERGrImIjMA0YXa3OaOCuSDwPtJfUCUBSMXAicHuGMZqZWQ2yTBCdgTfylstyZYXWuQm4AthS204kjZM0T9K89evXNyhgMzP7XJYJQillUUgdSScBb0fE/Lp2EhGTI2JARAzo0KHDF4nTzMxSZJkgyoB98paLgbUF1jkCGCVpNUnX1DGSfptdqGZmVl2WCWIu0F1SV0ltgLOA6dXqTAfOVWIw8H5ErIuIH0ZEcUR0ybV7PCL+KcNYzcysmsyGuUZEuaQJwEySYa5TI2KxpIty60uBGSRDXFeQDHM9P6t4zMysfjL9HUREzCBJAvllpXnPA7i4jm3MBmZnEJ6ZmdXCv6Q2M7NUThBmZpbKCcLMzFI5QZiZWapML1Kb2VdXc00GuXrSic2y322RzyDMzCyVE4SZmaVygjAzs1ROEGZmlsoJwszMUjlBmJlZKicIMzNL5QRhZmapnCDMzCyVE4SZmaVygjAzs1ROEGZmlsoJwszMUjlBmJlZKicIMzNLlWmCkDRC0lJJKyRNTFkvSb/MrV8kqV+ufB9JT0haImmxpEuyjNPMzLaWWYKQVATcAowEegJjJfWsVm0k0D33GAfclisvB/41Ig4CBgMXp7Q1M7MMZXkGMQhYERGrImIjMA0YXa3OaOCuSDwPtJfUKSLWRcSLABHxIbAE6JxhrGZmVk2WCaIz8Ebechlbf8jXWUdSF6Av8ELaTiSNkzRP0rz169c3NGYzM8vJMkEopSzqU0fSTsADwKUR8UHaTiJickQMiIgBHTp0+MLBmplZVVkmiDJgn7zlYmBtoXUktSZJDvdExH9nGKeZmaXIMkHMBbpL6iqpDXAWML1anenAubnRTIOB9yNinSQBU4AlEXFjhjGamVkNWmW14YgolzQBmAkUAVMjYrGki3LrS4EZwAnACmADcH6u+RHAt4CXJS3Mlf0oImZkFa+ZmVWVWYIAyH2gz6hWVpr3PICLU9o9Q/r1CTMzayL+JbWZmaVygjAzs1ROEGZmlsoJwszMUjlBmJlZKicIMzNL5QRhZmapnCDMzCyVE4SZmaVygjAzs1ROEGZmlirTuZisbl0m/rm5QzAzS+UzCDMzS+UEYWZmqdzFZGbblObstl096cRm23cWfAZhZmapnCDMzCyVE4SZmaVygjAzs1ROEGZmlirTUUySRgC/AIqA2yNiUrX1yq0/AdgAfDsiXiykbWPzD9bMrKGa63Mkq9FTmZ1BSCoCbgFGAj2BsZJ6Vqs2Euiee4wDbqtHWzMzy1CWXUyDgBURsSoiNgLTgNHV6owG7orE80B7SZ0KbGtmZhnKsoupM/BG3nIZcGgBdToX2BYASeNIzj4APpK0tAExZ2lP4O/NHUQtHF/D7An8/bCKpetPasZQUn0p3r/mDqIWLTo+Xd+g+L5e04osE4RSyqLAOoW0TQojJgOT6xda05M0LyIGNHccNXF8DeP4GsbxNUxW8WWZIMqAffKWi4G1BdZpU0BbMzPLUJbXIOYC3SV1ldQGOAuYXq3OdOBcJQYD70fEugLbmplZhjI7g4iIckkTgJkkQ1WnRsRiSRfl1pcCM0iGuK4gGeZ6fm1ts4q1ibT0bjDH1zCOr2EcX8NkEp8iUrv2zczsK86/pDYzs1ROEGZmlsoJogEktZU0R9JLkhZL+mmu/AZJr0laJOlBSe1raL9a0suSFkqa14TxXSvpzdx+F0o6oYb2IyQtlbRC0sQmjO/evNhWS1pYQ/tM37+8/RRJWiDp4dzy7pJmSVqe+7tbDe0yff9qia9FHH+1xNcijr9a4mtpx99W+2myYzAi/PiCD5Lfa+yUe94aeAEYDAwHWuXKrweur6H9amDPZojvWuDyOtoWASuBbiTDjl8CejZFfNXq/AdwdXO8f3n7uQz4HfBwbvnfgYm55xPT/n2b4v2rJb4WcfzVEl+LOP5qiq8FHn9b7aepjkGfQTRAJD7KLbbOPSIiHo2I8lz58yS/42gx8RXYPPPpTuqKT5KAM4DfN+Z+60NSMXAicHte8WjgztzzO4GTU5o2yXQxafG1lOMPanz/CtFs71/eumY//mrRJMegE0QD5U5PFwJvA7Mi4oVqVb4DPFJD8wAelTRfyZQhTRnfhFwXxNQaTk9rmgalqeIDGAK8FRHLa2ie+fsH3ARcAWzJK9srkt/rkPvbMaVdk7x/NcSXr1mPP2qOr0Ucf7XEBy3j+KtpP01yDDpBNFBEbI6IPiTf0gZJ6lWxTtKPgXLgnhqaHxER/Uhmrb1Y0tAmiu82YD+gD7CO5DS6uoKnO8kgvgpjqf3bW6bvn6STgLcjYv4XaZ5S1qjvX13xNffxV0t8LeL4K+Dft1mPv0bYT4PfQyeIRhIR7wGzgREAks4DTgLOiVyHYEqbtbm/bwMPkpwSZh5fRLyV+2DeAvymhv0WMlVKJvEBSGoFnArcW0ubrN+/I4BRklaTnJ4fI+m3wFtKZh0m9/ftlLZN8f7VFF9LOf5S42tBx19t719LOP5q20/THINZX2DZlh9AB6B97nk74GmS/5QjgFeBDrW03RHYOe/5syQf3k0RX6e8Ov8CTEtp2wpYBXTl8wtcBzdFfLnlEcCTzfn+VdvfUXx+kfUGql4g/PfmeP9qia9FHH+1xNcijr+a4mtJx19N+2mqYzCTN/ur8gBKgAXAIuAVcqMdSKYOeQNYmHuU5sr3BmbknnfL/YO9BCwGftyE8d0NvJwrn17xHzY/vtzyCcAykpEQTRZfbt0dwEXV6jfp+1dt3/kfcHsA/x9Ynvu7e3O8f7XE1yKOv1riaxHHX03xtaTjr6b9NNUx6Kk2zMwsla9BmJlZKicIMzNL5QRhZmapnCDMzCyVE4SZmaXK8p7UZtsESZtJhmW2Jvll8p3ATZH80Mtsm+UEYVa3TyKZDgRJHUlm/twVuKahG5ZUFBGbG7odsyy4i8msHiKZ7mAcyWRzyk02eIOkubnJ5y4EkLSdpFuV3OfiYUkzJI3JrVst6WpJzwCnSxou6TlJL0q6T9JOuXr9JT2Zm6RtZsXUCmZNxQnCrJ4iYhXJ/52OwD8D70fEQGAg8F1JXUnm8ekC9AYuAA6rtplPI+JI4DHgKuC4SCZkmwdcJqk1cDMwJiL6A1OB67J+bWb53MVk9sVUzJQ5HCipODsg6XrqDhwJ3Je7TvE3SU9Ua18xCdxgoCfw1+T2A7QBngN6AL2AWbnyIpKZT82ajBOEWT1J6gZsJplBU8D3ImJmtTon1rGZjyuqktwHY2y19r2BxRFR/czDrMm4i8msHiR1AEqBX0UykdlM4P/kuoSQdICkHYFngNNy1yL2IpkMLs3zwBGS9s+130HSAcBSoIOkw3LlrSUdnOVrM6vOZxBmdWuXu+tdxTDXu4Ebc+tuJ7nW8GLuFpXrSW7/+ABwLMkstctI7rf9fvUNR8R6Sd8Gfi9p+1zxVRGxLNdt9UtJu5L8X72JZEZPsybh2VzNMiJpp4j4SNIewBySO4P9rbnjMiuUzyDMsvOwpPYkF57/r5ODfdn4DMLMzFL5IrWZmaVygjAzs1ROEGZmlsoJwszMUjlBmJlZqv8FMm2aUjz4wu0AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"neighbors_degree_ratio(wsg)\n",
"avg_neighbors_degree(wsg)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"neighbors_degree_ratio(bag)\n",
"avg_neighbors_degree(bag)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The average degree of neighbors is close to the average degree of each graph, but the Barabasi-Albert algorithm is an exception. Because of preferential attachment, the average degree of neighbors in the BA graph is substantially higher than in the other graphs, while the degree distribution looks very different (following a power law) because of the mechanism."
]
}
],
"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": "3.7.8"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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