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@psinger
Created April 26, 2016 17:41
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied stickbreaking-transform to p and added transformed p_stickbreaking to model.\n",
"Applied stickbreaking-transform to dir and added transformed dir_stickbreaking to model.\n"
]
}
],
"source": [
"import numpy as np, pandas as pd, matplotlib.pyplot as plt, seaborn as sns\n",
"%matplotlib inline\n",
"sns.set_context('paper')\n",
"sns.set_style('darkgrid')\n",
"import pymc3 as pm\n",
"\n",
"k = 2\n",
"#data = 500*[0]+500*[1]+500*[2] + 750*[0] + 750*[1] + 0*[2]\n",
"data = 50*[0]+50*[1]+50*[2] + 75*[0] + 75*[1] + 0*[2]\n",
"ndata = len(data)\n",
"\n",
"model = pm.Model()\n",
"with model:\n",
" p = pm.Dirichlet('p', a=np.array(k*[1.]))\n",
"\n",
" paras = pm.Dirichlet(\"dir\", a=np.array([[1.,1.,1.],[1.,1.,1.]]), shape=(2,3))\n",
"\n",
" category = pm.Categorical('category',\n",
" p=p,\n",
" shape=ndata)\n",
"\n",
" obs = pm.Categorical('obs',\n",
" p=paras[category],\n",
" observed=data)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 10000 of 10000 complete in 74.2 sec"
]
}
],
"source": [
"with model:\n",
" step1 = pm.Metropolis(vars=[p, paras])\n",
" step2 = pm.ElemwiseCategoricalStep(vars=[category], values=range(k))\n",
" tr = pm.sample(10000, step=[step1, step2])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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jt3JVZNS3SEzFdc8dmOIwiX5EW+AlOi4jBhtqy2QYzqHXQd9Y1sNDp0aSygYX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\nvmqbasw1WwAPPvggM2fOZOLEiYwaNYr09HQWLFiA0+lk8ODBdOzYscL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vAAAg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\nwnU86QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f6e472f4c10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.plots.traceplot(tr);"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied stickbreaking-transform to p and added transformed p_stickbreaking to model.\n",
"Applied stickbreaking-transform to dir and added transformed dir_stickbreaking to model.\n"
]
}
],
"source": [
"k = 2\n",
"#data = 500*[0]+500*[1]+500*[2] + 750*[0] + 750*[1] + 0*[2]\n",
"data = 50*[0]+50*[1]+50*[2] + 75*[0] + 75*[1] + 0*[2]\n",
"ndata = len(data)\n",
"\n",
"model = pm.Model()\n",
"with model:\n",
" p = pm.Dirichlet('p', a=np.array(k*[1.]))\n",
"\n",
" paras = pm.Dirichlet(\"dir\", a=np.array([[100.,100.,100.],[150.,150.,1.]]), shape=(2,3))\n",
"\n",
" category = pm.Categorical('category',\n",
" p=p,\n",
" shape=ndata)\n",
"\n",
" obs = pm.Categorical('obs',\n",
" p=paras[category],\n",
" observed=data)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 10000 of 10000 complete in 79.5 sec"
]
}
],
"source": [
"with model:\n",
" step1 = pm.Metropolis(vars=[p, paras])\n",
" step2 = pm.ElemwiseCategoricalStep(vars=[category], values=range(k))\n",
" tr = pm.sample(10000, step=[step1, step2])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f6e193e7c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.plots.traceplot(tr);"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied stickbreaking-transform to p and added transformed p_stickbreaking to model.\n",
"Applied stickbreaking-transform to dir and added transformed dir_stickbreaking to model.\n",
" [-----------------100%-----------------] 10000 of 10000 complete in 73.5 sec"
]
},
{
"data": {
"image/png": 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LGOGhQ4dw6NAhpNNpXHbZZRgZGcGvfvUr/OQnP9H6dAQCYRGZ9idgNNBldW3m\ny+ouB9457QHL8TCUhK0QCHLcfvvtoCiqbB0GRVF44oknFqlV5x752V5eXDwPxvlMkmeQEVNo1Dcv\n6HkFkQdAyYYJEupLPdcCvReol9gqfMbNuQ6ZSjQXW5///Odx1VVX4etf/zq6u7ulzxmGFCklEM43\npnxxdDRZy9KtzpdVnQ7wgohxTxy93dpkAyKc39x7773SvwvHY63FM9/r5HtOABFb9cCdGQeABRdb\n46lBiBCxyrJ+Qc9LICx1RFHU3IYpRXOxdc899+Ds2bPo7u7G7t27ceONN2Lz5s346le/qriPx+PB\nvn374HQ60dvbK2WO+o//+A+88cYbEEURO3fuxPr15CFBICwlpv0JTZNj5FnWZoeOpjA8EyVii6CK\n/OTec889h3/7t38Dx3HgeR56vR7PP/+8JueYnp7GV7/6VWzYsAFtbW246667NDmuEp7MJGjQaDV2\n1fU8xWSNDhGzQrXehsj5hi8zAwNthFNfe5ZWPU1ruqZNR9PgBYF4VwiLDpfzmuspwyK3pJikEIdV\n11DXc2juT3744Ydx9dVXAwDuuOMO7N27t+o+zz33HG6++Wbs3r0bBw4cAJ/LtkNRFL773e/iM5/5\nDF5//XWtm0ogEObJtD+u+XotADDoaSxvt88rKxHhvclzzz2Hf/qnf8KWLVuwb98+NDdr50F49913\n0dqarUVz0UUXaXZcJRg+jjhf/R6YSyp1JQrDzHzsNEZT/TUfozRj3fkIL/K50Lxy4nwEIbY40x0F\ndYJVa2GrWKz2HCfE+jGSPKPJsURRVPwtCcqMJM8gxqlf0zWRGsJEaqiOLZobjFBeJkNrNBdbNE3D\n6cymUGxqaoKg4kb3+/3o7OwEADgcDsRi2XSWV111FQ4fPozdu3fj8ssv17qpBAJhHsSYDCLxTF08\nW0A2lHCEJMkg1IjD4YDNZkM0GsUFF1yAcHj+C7zzbNmyBXv37sWePXvws5/9TJoYnC9dLeX1kWoJ\nf3RY65D1VxSR4CvXplLiorUubO11Vd+wCt2uYhF52YZ2XLah9gylCT6GjFCeJTBfw+jSORxzPDWA\n8dQgGq1G9BS0k1VIMqFWQ52LTkStJ9w2rqg+QRLm/JqdO8T5MJYamPdxlKjHhKRWWAqyD5oM6idJ\n8vdMiJudVCjdv9E2t7Xcm1bWL8R2a68LG0uOr3TPaonmYYSf+9zncMMNN6CjowNerxe33HJL1X26\nurrgdrun2NSoAAAgAElEQVTR3t6OaDQKhyNbx+J//ud/cMUVV+CFF17AF7/4RWzfvl12f52OgtO5\ndAfzUkKno0lfqYD0U3Umc1XYN6x21aWvNvW24o3DU9Ab9bDXw5hcQMh4Wjh27NiBn//859i8eTOu\nu+46tLW1aXbs06dPY9u2baAoCjabDYIgQKcrN1BomoLNasLGVc0QRaDBasQ7JQVN87icFlywvAkr\nujPQ62kcPuMFAAQzPpjE7Cs6X6zVYTMimig3DJqarLD5srOzzQ4zgiprH3W02OAOFM/qshkjErQe\nFpMRJjp7/u2bOjEyE0VSpigyALxvfRvC8TSGcsVom5qy4tFsNWJoKiLtt7LTgdGZKCgqW/sp309K\nrF/tQphhpWvPHze/D01TEEpSU6/ubsDwVAwXr2/DyeEA0hkeCXECYUbAKus6abvNvS44bEYk0xxs\nFgNam22yRZ+3rWvFuDsGURTR2+NEOsPj+JAfJiHbN1vXt8Ni0sMbZyBCAC3qYMLs73ZhbwtGpqNg\nOQEZlpf2U7pui1kv9ZdeR6O7zY4JT0zafll7A8KxtOoF/VvWuDA0FQFNNWHSG4PJrIOeLjb9eLF6\nuwD5/m5vtmLd8ib899EpVe1R4oPbuqVjLO92Yiw3nm0Wg2zdOLNggAgR3T0WxFK81L4PbO3BUZni\nu5UIMBmYdHpYLAbZBCLtzVZ4FFKt2ywGbF3jwp+Oz8h+bxYMcDos0FO1C4/3rW9DmuVxYigg+31h\nn8mh19HgeHmHB01TuHxzN5wNJukYV2zuBJPi0Kei/5qbbLCYDaBEGjarCazA4n9dtBzHhwKI5FK3\nb17biiNnfTDoaaxd5sT08UEA8mNs3fImnM1l+lzW5UQszSMQSaGl0YxARPl51tPWgEmv+kmhznYH\nwvE0bFaTNOatOhNsFm2TfJWiudi69tprce211yIYDMLpdIJWUf36hhtuwN69e2G323H11Vdjz549\nuO+++zA5OYl7770XZrMZf/VXf6W4P8+LCIdJAg41OJ1W0lcqIP1UnTMjAeh1FGwGui591d6Yffj1\n9XuxadXCLibXGjKe1NPaOr/Y+d7eXlx88cUAgOuuuw4NDdrF4q9YsQLf+9730NLSgiuvvBIGg/za\nA5NBh1aHCbqcdyrJpLG81YbTY0E02U0w6HXwhhm0OMzodJoRzRW2ZTkeG5Zl1yi+cnwQaT5rdCfo\nrPHSaNEjwZSnKOYznPT5yjYbJtzZfzfZTYo1a5a3NcCkg7Rfi8MMh9WI6ckM0iyHpJD9PwDoRBHL\nWqwIx9IIxtLQ0RRWdDTgyIAPVpMBmRSLZCKDBJOGw2qUxjoFYE1HA86MhdDkMAE8jwSTRnuTNeu5\n9sbh8cfRaDNhw4omvJUTpA6rERtXNiMRT2Hzyiapzfnj9rRYkUix6Gm1wx9OwmrW49hwABkhjdOB\nUazpXA02xcJqoBEMM2hs1sMbjCBBZa/18o0dAM9L/R5Os1jWYkU8yRalum6ym8BnOHQ3Z2skpZNZ\ngZNg0kinOaxob0AmxSKTYhHTjSGeZGFlO5DOcLAYs78VxQtY3W6HN5zE6EwSbY1meENJJJg0elx2\nTPpnM61RoNDdbEEMQFuTBRZT1kTbsLIZ75yYBgBY9A5MxlNIpGYFSEezFb5wSgoZvHR9u1QjSeR4\nrG63I+gW0NJgQjKeAU1lxcnGFc1w2IwYnA4gHcz+1qvX2MGkOAxOhSGAg44ywKTXwWrWo7fbgSlf\nAjaLHoNTWWEtOEwIhxkkmDSsJgN4QYDDZoRJr0Mgmiqq8dXVYoMgimU1oravb5OOkf+dN61wIhBJ\ngeMFeJk0jHodMhyPnlY7OlusiE2bkUix6Js8AY7JRkbZrCbwLIe2RhNGZqJYv7xJStXfaDWixWnB\nuDtWtiYulWaREThQFgFplpe+37SyGQ1WIwRBhNOiL6pdlmd9jwOxWAonAn2w6RrQZuyWfksdTcFu\n1oFnOdAcL1vvbPv6Nrybm2ApJZ3MgKIo9HbYcWy4XHCFwwzaGk1wBxg0O8xw2o04OTpbz8qgy9rf\n+ULNVpMBvd0OHB8OZAUPzyMcZtDTYgXL8YjHsmOo9BmzutMBjhcxXiBqQqEEOpst8IcyoKg0OMs0\nxrwmdDrtaLYZQFMUuNxzyWzQQyeKcDWYoKMpJHJp1vPrE+0WA/gMiwSThp7O2hNdTRZ0NVkgCCLM\nOkoxBb3V4ICrwShb4FnaxqRHKsNj6xoXwmEGoVhauocBQKfLwNpIw6jXYargflzVUbmAeS3Upc7W\n/v37YbHMFnCrtjjZ5XLhscceK/v8xhtvxI033qh1EwkEggZM+RPobrVDr6tPKuGOZiuMBhrj3tg5\nL7YIC8drr72Gxx57DFu3bsWOHTs0rbO1adMmPP7441W3o2kKjbZib2yjzSiFwIkAWhwm2CzlYi1/\nP5kMNBge0FEU2pxWGPQ0OpotSLM8VnU6MO1PoKdtNnxtTXcjBqcisFsM6Gm1I86wuGB5E2JMBiwn\nIJnm0OwwS//Ps3l1C2zm2XYYAmmABVoazdCLNsRzniWTQYf2ZivamizyKfYNaegoCqu7yg2U9Suy\ngilfG8ieu+4LV7egxW4sCoM06HRlYT6lNDWYpHITLuesrZFfgJ9gGThNjehptaOn1Y6D7lmvw0Vr\nW2WPaTTo0GzQYdsaF4LRNMa9MbQ6lQvRAoBRP/vss5n02f94K3xeGt2tNlzSPhue2Oa0oM1pwUH3\nNJa32bGpySUJps5mG2iawrLc71n4++T/vnxjh/S3yahDPMVi44pmnBoLwm4xYGWHA2PuGBqsBtA0\nhQaZaACbSY+tPW3gOAr9E2FYzVkTsKfNhmnWBr2Ohs1sgM1sAKePYCruxyr7OjRaLNK4XNGRnbxw\nNVqQzvAwGbOe3dVdjWi0GYtCyXra7JKABrJGr8tpQTSRAZPmcNHaViSSrBTOubXXJRUSpikKrU4L\nRFGETkfDatKjfzyEzhYrdDQNk0En9f+W1S6wvIDuDgfisRTam6xob8pGEly8thUsL0hjvC13/nyR\n3UsuaMPUsREAwIaVTRAECkcGfHDajFIf0jQFI63DxhXNMOhpqYDvRWtbpdIkK9obwPECLl3ejlSa\nh0FPwaDX4aA76zXi9DFwaT3sJgtSGQ52swEbVjZBR9PoarHBZjbAbjXAoKdB5+6v/tAgGox2dNs7\nYTcbwKQ5XLqhHck0J3m4C68VAC5a0wpQwJGcMLx4XSsynABRFKHX0bLv68LSLTqaLkuM42q0gKYp\ndLlsmPYnEE+yECFCR2U/63aYMRSmwLBJOE2NReVa2pus0n1kzU0eICeyLlnfBibFwmjQgaYpRPRj\nWOPqLGobTVNotBuR5BMw0RbQFA2zUS/VA9PRFDpbbFmnSzyNeO6eMhv06GyxIhxP44LlTUXHNOfG\nbLfLBh1NQWRN6O3KTnK1OMyIp1ik0lzV+78WNBdbr776Kl588UXFGT8CgXB+MOmLY3l7/TL40DSF\nZa12THjqU2ODcH5y3333AQD6+vrwwx/+ECMjI/j973+/oG1QWneTN14oAI32ymEr3W1WONLZjQsF\nzNqe7Jro0nvP1WiBqzFrHBQmzCg1uvPekjyFQgvIGkexdAJdzQ3gE0HYzcXbS9dAUWiym9DpsiHF\npTAcHUb3sk6Yjcpmhcmgw/vWzRqoBr1Os/VmFCjoq0TSOG2mqutSzEY9ulxZQ00pWcWFq1ogBLP9\nzwpcUeqLnlY7ErnMZhRFIcWlQVM0jLrifraY9KDp7J6tToskfARRwGh0HF22Tpj18mNkVacDrkYL\nHDZjkVjOC6FKiLlzb1tTvKbOWjIuElzW62cz6xUn1PJCC8iKGDnW9ThhMxsgiKJk5K7qdCAUS8Nk\n0BX9HqVjE8j2Yf7Y77tgNiS4UOzn+66wnYIoYCbhQaetHcYSe9RhM2J1VyOGpyPSbwBkBZ5eTwOm\nGIK6KIDmsv2A7G/sKBGWRj0NY04oWc3l1xETfYiyOlx2wbay2pHL2xvgZfwYj0extmm1dN3xTBzx\nTBzd9k5sLJhwtJj0sn0FFP8m+eOUjvmtvS5QFZLYNLhiiDIZUEkXersai/qoy5UN5RXEWe9gpaQu\nqzrLJ182rmxCLBcaai14/rQ4jAhlAgCWl+whwtwchp7nsa2rF3odjYHJCIKxlPSb97TZ0dNmR4bl\nwQsiaJqSJohKsZj0uGxDOw55spMwbc5ZMWY165FGHOOpEXSKFypeV61oLra2bduG/v5+rF69WvoB\nCr1cBALh3EcURUz5Erj8wvqmpF7W3oD+XBgIgaCGEydO4LXXXsPRo0exadMm7Nq1a8HbkPcGzQeK\nKvacLBQOkx3dLiZrtFVJ0pWfMU6w2bCwjIqF5tWKlMsZqqUkuRQ4gUODcVZUbl/fhkg6iqFIRHaf\n3q5GXNDhrHrsPIUGJC/wSPFp2AxZw81uMcCYM/L6vMcrHudUsB9G2oALXRvKvjMZdEUeKwAYiYwj\nlApBT+mx3NEje0y9braQfKlYrk554hWtksLzAo8zoQGsblwJiz7rnSv10gHZCQA5z5uWjMcm4WcC\noEChy95R9n3e0wjMZuAUka23ZG/kkOJoCKJQtobLnwzC1WSDWV9b++0WA9ocVsXxPx6bzC5kVICu\nMXOKw2pUTMxhMekrhranxASMFuDCLhfMCqKOE7Je6sIsjpXKCxSKY0aMob1JfbSKIAow6Gg4rDr0\n+Y8BAC7u3gZeKJ9cMKpM8kFRFKTFoyXNDqeziblYYf7P8Tyai63R0VHs27dPCjOgKAq/+MUvtD4N\ngUBYRAKRFFIZXtVM6nxY3mbHgaNTSLN8TZmSCO9dfvOb3+Av//Ivcddddy3p+lAzCQ+MtAEtlqUW\nIlveZ5zAlSVVAIAMn8Ex30msyc3Gz5ctq1tUGUv9oUFwPItLOmbT79M0JRVinom74bK0wKSbNYhp\nau5p1YcjY4ikI0XnU4sg8EgJ6rNWhlLZyaWFrYuVPZdeZwDDJosERi19luRSSLJJeBkfVjiWzatF\n8UwCaT6teH9YDBYk2aTi/n4mu8aJEzkcdB+B0+zEGucq2W1XtNsRTVFSj+f7nhW4ojEEAKORMRh0\nRmxtVQ5P5gQOIgADLe8VliUnRrQqsFstFFcNBoNyO/Iiy6hTJzoLxzMnyCfaUd43S2FrgukgOIFH\nh34eCZDyfa54r2n3/tBcbD3zzDOYnp7G9PQ0VqxYAZdr/ulfCQTC0mLSn53yrmcYYf74oghM+RKy\na0EIhFIeeuihxW4CWpuqR3NMxbIJD5SMSTXG9kH3ESxz9KDdKr8OqZQMnwEncLAalDNjehKe7PkL\nZqKTXKrIi5RnLDoJABgMDas6vxKBZBAzCY+s90cOji+fceYFHiORMenv476TqsSRGuOW4bIeACXR\nWXQ8lSKJF3jo6IWfQJJrXaFD5VQgW7uq0TT3YvIpTj4pSy2cCZ4FkL0/WJ6Fh/Gh294p/Va0TOWi\nYDIMGsXGv91ggxc+hFPFCRYEUQAFCoIoQKAy2XWEuY5I59pfui4xkMyu8+KqeDwGQsPgRA6bXRvV\nXq4EJ/IwUJXHWJJLQk8bysSc1hSOZUEUIIiCNP5nBZD8vSOKYvZaZNpY60TCrDibPddoZBwA0GFT\nL7bcCQ9aLS7oaB3cidmkJEKZRzG/Zq2mZlZE8xiFZ555Bnv37sUjjzyCP/zhD3jwwQe1PgWBQFhk\npnxxmI06VUblfOhutYGigPEKmYYIhKWG2gK284HPeUv8Sfm00HIc853EqUDtRYqVwmlEFGd1m+t1\nj8emkOLUpasvJG/8AgAvlqe45qt4lGKZOA57+6qeOz97r8ZEzNtttIKQonJeI0GmvfWiUDTI12/L\nGZdV9lVLLFP8vJ6ITSGemXvh2Mn4NNwJD1L87O9UKpDD6QjO+Adx0H0EwKxYzIe4FuJPBnHY04eR\n6DiOeI9Jn8td6dnQIGKZ7LrhvJiv1icJNiEJtloZDCtPXPACDy/jx0n/mTndx6WEUmH4C+6hUgqv\nciQyjqNFIbOz38rd96PRCcUQW1ZmsqQSaT7bl5G0fIiwGhIsg8nYNKYS2XVak7HZlPml93+gQp/M\nFc3F1htvvIEf/vCHsNvt+OQnP4n+/vkPCAKBsLSY8iXQ7bLVPUzLZNCho9mKcS9JkkFQz+HDh/HK\nK69gaGgImUz9C1aWMY/bghM4TOS8XnlEUSwy8GYSniIjUYnhyBgG5uh1GgqPVN1mDna4KkRRlAzc\nUgoF1ER8WjKU5Lo8XMU4i2XiEEURSbVCL3fBTIXwNQ/jzbWn8iBQ03XxTGJOYieUCiOSnhU81TwJ\n8/lWDZ6EF2fDQxW3iWZiiuJYrgWlHsbS0LT8NcuJ2ryhHaxqVIuIpmMYi05U2U6eTImoSGQSGAqP\nym+ce5cmZERpKBUGL/AYjU5gPNcWlld+rkXSMUnciqKo2K9D4RGMFniDy8iNvRSXQjgtn3pdaWyV\nCqPCcSzn0Q2l5lZ8XhRFBJIhWVFdtB1mwzRL76kEm1CY/NDOvtFcbOn1eoyNjYGiKPh8PpjN5Ysj\nCQTCuc2kL4HuVtuCnGtFewPxbBFUs2fPHrz66qv42c9+hoGBAXz9619f8DbwIovJ2PScDOXphBue\nhKdoZvyQ5yj6Q4PS35HcAu5qBJPBec0G5ym8jCSXkkSM1ZD1bJv12r3nk1wKJwNn0B8cwEH3EUQz\nsaJ+LBSZHM/ihP80/MmgrGdLxNw8M0rkj8SJWcNebrIpmvttlMw0UWpnNe8IgzPBszjmP1VzO4fC\nIxgoGC/FfSCXICP7mVIf1htRFHE2OIiR6LjqffJrqZxmpaQn5etx8oa58pohscJfteNL+ss+y6/J\nKz+18tmGwiPoDw0q71vCQGhQCsOcTrhxxHsMoVQYSU55kiDPZMFEjwjAw/hwwn9aGkMMy+QmKeQu\nQV2PFU5u5MVgpcmdapMFI5FRDISGZIWU2uOdDWUnA+rlcdZcbD300EP4/ve/j1AohG9/+9v41re+\npfUpCATCIsLxAtzBBLpd5Ws46sHKjqzYYrmFC7shnLucPn0a3/zmN2G1WvGxj30MPl95IdJ6MxYb\ny4U91R5KpGQsxDPFxW+rbV/pmLyUSUxAMBVSNDAoKVHC7P4n/aelNVoWfa5+ToU1YGooNH7OBAeK\nwnrOBgclDx2rYCQnuRRGZQ11UfX6kInYFPqDg9U3LKLCzHcVr79Sq/Lhb3khx/IZ6fcTRAGBZO3Z\nWSv1wXTcjTOBrGEuyHpAivedSXhwKtCvyigtNaqrtS9dwVuTpWDcS6GPVO74xVuWr8MBopk4RiKj\nFdpRTCUPphrk2gAUe2cj6RgmYlNV1wIyVTw32W3K25ufmBkKj+Ck/4z0eZKd/W3Go5MQRAFxNgF3\nbs1mFrFMoJ0K9KM/OFByluoeoMIxmF8/NxIZx2FvX1UvfaVHXP64nMBhMDyMQ56jsl7xap7meM7L\nfdjTJ32WYOce+lqK5qvrOI7DHXfcAWDumX8IBMLSxRtKguPFBfNs9XY3ZqvXe2Lo7Z77om3CewOL\nxYI//elP4Hkex44dg92+MJMChaR4Bga9HikuJaXAFkQBhz19aLE0Y3nDbErvg+4j2Nq2WVpIXi0c\nBqj93SpCLDI2UnwaVsqCSDqK4fAoVjWuRIulqcL+8qSriMkT/tNwmBqKrrfs2KJYZOQXppLOk5/R\nr5RmPS5jYFU33mfxFCyYl2vjbNsMqsInOZ6Fj1FeT6ckPmwGKyLpSFE42f9MHkKPaRnO5sRgOB2B\n3WhDu7UVvMCDpuiKY0LJryWKIqbjM6WbF+Fl/Oixd0mhX/nELoc9fRUTkCS5JE76z2Bl4/LcuQTZ\nVOrVyIrL6kItziZk3QeF3SznaSretvg8lYSZGkQFQcqJPCiRQopLFXkg50Je9PqTAYxHJ3FB89qi\n73VUcchegmVAATjlHpU+8zI+iBDhY4r7R0QlkVKb309u64Dq9abqzpUXlv3BAaxrXgOHsTyBV7zk\n+UpRtPQ7lXo8RyPj2ICVKttYmbpkIwSyg3ZoaAhNTU148skntT4NgUBYJKZzmQi7WxfGiF3e3gC9\njsLgVISILUJV9u7di5/+9KewWq347W9/i0ceeWTR2uJPBtGUC3PKz2YHksEywzjDZySxpWYGW00i\nikIPSL7Aa57B8AhYPoM2WzaLYTAVhEGnlzVO8m2OZqJoK8l6mDfk8mtfSsPQUlwKKS5VUWwVrqvK\nekIozCWAq9BoyjMTd6PDOputzMP4MBGdxPvatymKk0g6ikZTcebT/G8SSkfQqTdL7VMypvOMVQiL\nm4hNoaehSxLj1fAWGMKhVAihVAjt1lYc8R5Dh60dPQ3lNQ8j6SgCqRC6bOV1phiWwZAKMeFj/GAF\nTjZtemlGxcLfP++FZAo8I8FUCC5LCzJ8BqeCZ7HWuRo2g7UgM1y2X6MFCTaimZjkIYukI7P9VTJE\nAskArLbZItBy3rzSjIR5ZseOtkGTAuTHx3HfSQCoWDJBbUjeYU8fTHoTGo3ZMVvodQqlwmXro9J8\nGhOxKRjMxcpUzitWqQ2FCTryt5KcqJeyfc4jnHcue5YKp/wkVpJlijIRZstUzf08atFcbO3du1f6\ntyiK+PKXv6z1KQgEzRBEAe6EF5F0FNFMLFttXWfCKqoLDaKTeGdlmPTFYbcY4LDWWkxzbhj0NFZ2\nODA0Nf+1J4TzlwMHDkj/fv/734/3v//9ALJhhW1t86jFMieyz41IOiKbWrw0NXYtT5nx6GTVdViC\nKBTNygdSIczE3dLf+cX1eQMrko4iko5ihWO57PHy2eWCZSFsxeZJMBnE6sYVai5DltHIeFUBI4+I\nJnOjTPuKya9HmUl4ZAvdAsBAaEjRY5MXzHOpgRXPJGA3zkYDRNIRiBCwrmlN0XZKx64U0hROR2TF\n1kBuHUqnrb3oDABwOjhQsa8Lx5iSSDniPYZWq0uqqVXopZkN7yuvr+RhfOB4Fu6EF73OlWXetbMF\n4ZwiRMlDmWCTYAWuKJ24nCDo852oOeNdrcQycQRTIfgYf5E3aTw2Kf2bFyqP5YmCjHiFMCyjah1k\nJtcvaS4N0SgXNhmTLYasFN5Yvp2AYJXEFWrWA1Kgyr5RnZQGqJjEQ0kQlvb9eEGSk8LxRoNSkMTa\nornYKnzh+f3+RYmXJxAqwQs8Dnn7cNBzFEPh0aJ0soU4TY240LUBH1vxEWl2mgBM+RcmE2Ehvd0O\nvHNaOcyHQDh+XDnE7Morr1zAlhSLp9IQPtntVd5LnoQXPhWhN6XZxyaik7LblRo8pZ6YasJnPjPB\n4XQEZq40xGluayQ8CS8aFLxyxQkSsteT4tOYis8UCVA1VFtXU4kUn4IdxaHXulw9JVbg0Oc9jtXO\nlYr7y4kHD5O1r6qnzS/sg/z/azMxleqR+Rh/WQFjHa2Xts0UhHIKoojB8Igk3kKpEARxVuCLoliU\nRbF0/0gmij7vcaxpWi39rnITD8V9pX6UipAvFyCXOKTQg1ToifMmZm3eagktlNLDTyc8qiYtTueS\nYNRChs+AFzgAxfdePulLcTvcuW2VUT/xUJoBsLoHH6ju4VMSg2PRcRh1hjIvdSlUUVhr/Xxbmout\nwheeyWTCE088ofUpCIQ5IYoiDnqO4uWR1+BPBtDbuAr/1/IPYXVuvUKDsQGiKCLNpxFBCG+PHcVB\nz1G84z6MP195FT6y7IPzetmeL0z5Eti4Unl9Rz3o7WrE79+ZQDCaQrODZDgllLNr1y4AQDAYxK9/\n/WsMDw9j+fLluPnmmxe+MQVGqSiKZa6r8rpV2Q2qJR2YiE2VGAfFRDMxmHUmjKpMVT3fCRM5Qyhf\nOFmuDaIoIpyOIJqJwcf4EacisFPahAaX1naSzqnwaS1Cq9nShGAyJGVfnAvTcTdclhbZ7/JGeTgd\nVZGOfBYlEV2K2uyVlVAzaVBIXgAWhrFxIlfmJSsUU3JrmPS0Xjpvfm3fYGgY9oIi20plAoBaayaJ\nsskaWD4z59Tkc0VNGCFXpY5cluLfbLKkrEQeOeGnnLVxFpZnpRT3noQXyxq6AUASaWk+A4veXOZN\n8zLqHDFMlQyKlUJ1fclAVbEl5/mrB5pbjk1NxUbYm2++iTfffBMA8NnPflbr0xEIqsjwGfxr/368\n7T6Eza4N+L83faZsNi6PWW/CCmcHlptWYMeqq/HyyOv47dC/44T/DL60+SY0GBd+wf1SgeV4eENJ\nXL1dvu/qRX6t1sBkBJdtJGKLoMztt9+OT3/607jmmmtw6tQp3HXXXdJa4oVCryvPmlZIqWHjTngU\nn0elyHkkIukYRAhSlkC1qdh1FI3q5lRtHPOdBE3ripJeRNIx8CKHkZIwwXiGgVUv75HSCk6mIHO1\ncMMkl5QyLWYpDombSzr5TEFWwVLGc6JJzXq9uVBY7ymaic1LNFoMFiRL1vekuDTM+tn1UrzAYTSS\nNYIL+1pOHJzwn654vnAqDIvBimSJ4V+YEEVtWJwS+TFZ6TCVUpPX6iGtRjgVRtSsZkKzvon5jTp1\nSwUqhfl5GR9WOJaVPQfVjvX5pGJXCn8tpPBZXM/e1Dz1+7vvvovJyUm4XC4EAgH8/ve/h9VqhdU6\nv9SwBMJcCacj+LtD/4DD3j58bsMnceuWW1QbNlaDFZ9c979x58W3wsN48b2DP1ScGXov4A4mIYgi\nuloW9n5uajCho9mKE8NqsxcR3qtQFIUdO3Zg1apV2LFjB3hezeyvthTOlg6GR3DYewx9vhOK2weS\nQRz29BWlHa6FgdCgJLQWEqUQotIU4l7GB38yWCYUBVHAsFKR1yrYDOqyoRamu1ZL6T75X3Mua7UK\nKfUUMBxT9Nl8j69EYaKGydiUYpHbSnACj7OhoTKhBQAn/KdUHbMWr10hLVWEh1bOCW9y6Sx7UVdU\nvPp4mU/XmHSm6hsVnouikOSSRQJpNumOurFtMViQYBkc8vQhwTLzFtK1kKkhe2mtaO7ZCoVCePzx\nxylsPYsAACAASURBVAEA11xzDXbu3IlPfOITWp+GQFBFIBnE3x95EpzI4+vv2yW7iFgNa5yrcM8l\nt+Onx3+O//fwj/GlzTdjQ/M6jVu79HEHs7NRnS0Lk/a9kIvWufBfR6fBCwJ0tObzRITzBLPZjK98\n5SvYsmUL+vv7EYvF8L3vfQ8AcM899yx4e+RSkmuJ3HqS6mt4FhaKomoKQVN7zIWiNKFJNVFU6tnL\nUyq401waxws8O/Uy9sIlYYR9/pM1H2M4MlpxLPtTcxNSaiiu/VQ//BVS9S8WZr1Z8X5ut7XDk+ub\n0jEKZL2YSuvC1FBL6QQgK/5O+s9gW9vmos9DqTCGa0ij72X8EEUBpwsyHs6Hg+4jqrabqlIGYT5o\nLrasViueeOIJbNy4EcePH0dnZ2fVfTweD/bt2wen04ne3l4p3PBXv/oVzp49i2QyiWuuuQYf/vCH\ntW4u4TzGy/jx90eeBE3RuOvi2+CyNM/reC2WJnzt4tvw9Il/xo/7/gmfW38jLut8n0atPTdwBxlY\nTHo0LFAmwkIuXteKV98ax9mJCDasWNg1Y4Rzhy996UvSv7dv367psZXeVYsJW8fZWK2ox7qIes5C\nFxLLxKXEHRmeVRXWVEuGs8IEBHMJT1QDV5JcQ754cZVjVFm/k6lj9r9q59ZayC8llCYVTHoTCr1F\ncmsW5yO0gLl7IgvHsSCKNdUrS7JJWe/pXBlU4SHMU8+JMc2nh5944gls2LAB4+Pj2LZtW1EqeCWe\ne+453Hzzzdi9ezcOHDgghX00NjbiwQcfxH333YeXX35Z66YSzmO8jA9PHPkpDDo97rr41nkLrTxm\nvRm3bbkFl7ZfjF+cfg6/H32jbi/IpYgnyKCj2booKfFXdTrQaDfiyNmlE+pBWHoYDAb84Q9/wGuv\nvSb9d+mll+LSSy+d97GV3lVlnL+2n4QoiqoN7GAqXHMx22rIiS29yjUmpch5qryML5cdb9YrNB6d\nwJngQNWSQYvxfCxMOV4PqnlLxQVJoC2PmkQO5xsUqCVre8TYWdHiV124uD6oWbe1EGju2RoZGcEL\nL7yASCSCj33sY/jDH/6Aj3zkIxX38fv9kgfM4XAgFovB6XTiL/7iL8AwDPbt24dbb71VcX+djoLT\nSdaEqUGno8/7vnLHvfj7o0/BYjDhmx+8HU2W2tO2V+unXVfsRMcpF17s/3cwSGDn1hs1NyaWIv5o\nCss7GqS+WejxdPmmThzq9+K2GyznVA2098J9t1T41re+hb/927+F3a59Ihuld1UpNIWiAqtLFR2t\ng06YWztPx08DtPrrtFmNYKjibWmamnM/ZYuRFhubVoNFtjhrNVhDqqwdft4Hq86IGMIl3/FwOMyw\ncsrtNuqMyPDavQ/U9FMcUTidVqS5zKKMvTiiizbmbQ1GWFnTvMbTUsVldcLPlAtZq8EMi9EAKzW3\n61XqK5POWHP4YCl6C2Bls8fmkYHVoN1v0mxxYpmjC34miKmYtolJ6onmYuu73/0uHn/8cXzta1/D\njTfeiJtuuqmq2Orq6oLb7UZ7ezui0SgcjmyqxqGhIfzkJz/BnXfeie7ubsX9eV5EOFyfLD7nG06n\n9bzuq6n4DH509GmY9Sbs2volUGkjwunar1dNP13d/RGYYcFz/S8ikkjg5o2fPO8F15Q3jo0rmqS+\nWejxdOHKJvz+7TEcOe3B6q7KKV2XEuf7faclra3zy063ceNGbNmypS5JmZTeVaUIIsAk5hfCc74R\nYGNgMsV9YrWZ5txPvc5VZUkEBD0lu3alGkxC3mgLijHQnLEsRGuMd4NJKZ+H188/hKsQtf004fUW\n1X96rxCi42AS6XmNp1KcZueS8IpYTHYwCZm1RAYd/OG5t0+pr3RGY9l9WisBIQomWZ/nX4fBApYB\nxLROk99aaX2l1mgutnieh8vlAgDYbDZYLNVTjN5www3Yu3cv7HY7rr76auzZswf33HMPbrvtNqxf\nvx5PPPEE1q5dWxSLTyCUMhQexT8e+xmazU78P1u/iEZTfVMKA8AHu6+AWWfGs6f+FRQF3LTh/BVc\nMSaDRIpDR/PieWjWr3DCbjHg3TPnltgiLBwrVqzARz7yEfT09EiFWJ9//nlNjl36rqIVErXodTQg\nLF5Y1XxpMjdVLchaK1quh3CanbAZFuY5ZNabysRWNSN8ITOoFTJfj8RSY7VzpapslRmZ9P7zxWFs\nWBJiS4lKSVoudG3EZHx6Tu0vrIs2VyrVNpMrHaAGiqIhigKac5kp5xpC2dPQBRHAVC6rdC3rK+eD\n5mLr2muvxc6dOzE2NobbbrsNH/vYx6ru43K58Nhjj5V9/tprr2ndPMJ5ylHfCfz85K+wvKEbt265\nZV51RGple8dFAIBnT/0rDLQBn77gunMqxE0tnmD2AbmYYktH07jkgla8e8aLT354zXnZz4T58ac/\n/Ql//OMfodPN32goReldVYrdYjinPVvLGro1F1tzRc7DQFNUxeLOWsEKnOp+cJgciObWd5UWrV7X\nvAZng4Nyu2mKlk9Dvc5QllhjoWkwlIcCm/SmMq9hbYWL1bFUJk2Vkn/YDTZZ0dJocsCsN805gUy9\n14GZdWZNE2DUitPkhFlvksTWckfPnMtP1ILmYquzsxM/+MEPMDk5ia6uLsnLRSDUA1EU8cbEf2P/\n4CvY2roJOzd+CkadccHbsb3jImSEDP6/My+gy9aB/7XsAwvehnqTT/ve1rRwQlaO7evb8P8fncbQ\ndBRrcsWOCYQ869atw+uvv47e3l5JjK9Zs2bB29FsaapaPFeJTnuH5oVSa0FuEqPR5ChKFlFvdLQe\nvMDBojejdH6eAgUDrbn5UkYtgtNusEliqzSDhp6qra0WgxXJORQ4lhMIebHaaGpEJB1RfawlMY2l\ncjKtHgkylsT1QznZipIIa8klA5t7gez6ia0GYwNWOpZVva/abK3wJooTYelpvSaZV0vvkWZzE4Yx\nOu/jVkPzp9VTTz2FZ599Fs3N2mR/IxCUEEUR+4dewX+O/xeuWv4hXNv7F4s6G/WBrsswFXfjhcHf\nocPWhvXNaxetLfXAE2LQ1GCC2Vh/I6cSFyxvgsNmxLunvURsEcpIp9M4cOAADhw4IH2mJiuu1lDz\nSPYrZ0h1N3RJs7FqqdXAnj2/zGdzeLauberFQGio5v16nauQ5FKYjs9AR5V7KJXMwXoVBQaKPVe1\nsMzRU3PRXQOtQ+ncfzbpRu3GZv6dWK8oAJvBJqXG1xpaZiSy8xRWcp6xpUahV5GCfJuV7keLfn6T\nofX0a9mNtqIwxe6GLph1JjQY7TjqPS593mpxlYmtdU2r55T8RolK42BDywWIZ+KwG7VLsqS51eTz\n+fCBD3wAnZ2d2UKGGsbLEwh5BFHAb87+Fv819Sdcv+Yv8ZHlH1rsJgEArl/zl3AnPPinE/+C+y+9\nE03m2jMhLlXcQQbti+zVArJZlC5e68KRAR8+dRUJJSQU8/DDD2NoaAhCbs2Uz7c4pQLUDMs2ayu8\nTHn7bAYbVjiWQ0fTUohLp629ZrHVbG6ak9jSikaTunWV61vW4UzgrPS3SWeU1j0ZZdK52xdovVYh\n1Txpcs+hDls7Wi0tRUk7Wq0u+Bh/xWPJRXL9H/buPDyq+m4b+H1my+xbMpN9IwkBAiEgCIoIYq0W\npEWLFltBH3EDfRGEWqiCSxWElgcQW6koUHEBBEF56lqtssoii+xLgLAEEgLZt8ks7x9hhkkyk0wg\nsyRzf67LyzBzlu/5zZk553t+W4zKjIq6qmbnPqq1Nb15dNb6+G0uqkabbctkxlP/oebmOeth7oJt\nJ/e2yb5bW7fly4MNX2u7GzblE9DF2BkHLx1G3ZUErEtkZ6+1zAqJ/MpqQpMTKVIRiUuNhmJv+hDB\nf+lWrCq6wb+Lqi+hR1Q3n9aViWQ+jQHREuenmhXZxeOE8M5lolXm696XuzarBnAOzf7ll19i6tSp\n+OSTT7BmzRomWuQXq4/VJ1q/63xPyCRaQP3F4ZGsP0AiEuNfB1f4NAFme+GcYysU9OpsQlFpDc4U\n+m8SQmqfxo0bh0WLFmHatGmYPn06Fi9eHJQ4NFLPA/SYlFeb1puVJo/L6CI0MCkjYZQbEKWMRLI2\nqdl9eWs6bZBfW82vpxtzXyYmljtv9Nx4ummJU8dC6pZEKZs8jRcQqTCga2QmNLKm5RiliPS4fwEC\nukZmthjntbiWhzoJmrgmrS20Mg26R3Vt9bbEggSddMktLNU0RvcErLl5yDx9dgka76NAe5MV2QWp\nV+LURWhhUkbhhugcJLawrWiVGUbF1cnqm9TcXCn/pufKVQpp02NoTONjbYW3j1sX4fk7JfYyWA5Q\nfx4ka5MQq4rxuox7LYr7fYMg1DeZVbh9PmqpqsW+VREefhNSdc3/jgCARNT8XHUqqQoKDw87PJ0/\nvaN7uv5O0iY0+S54S8p9eTAg8fDwozXnq0gQNfMApe0fTLRZslVZebUaec2aNW21WaImNp7bih/O\nbsHvOo/ArQk3BTucJtQyFR7q9gCOl5zEV6f+G+xw2oTd4UBhcTXMhtBItrokGSCXibGLExxTIzU1\nNfjf//1fdOnSBStXroTVGvgJT/sn9EakwuCxGUq8OrbZdaOUDROJFG0STErPyYWTpxsdoPlO/t7W\nAbyNSNbyDYiv60lFUvQ0dXdbouEyzsROJVV63Gtzx+WvpoS2FkaXbM3tmVwih7iVfc6cNXzaCI3X\ndT093HPelAsCYFZ470PftEwFxKjMSNQmNFnWPSkSN1pPJIhcibRcIkeyNrF+TjSve65niNCjky7l\n6t6vnAP6Rq1DkrQJXmsdmrtJj9fEwSA3QH1l0I0ISfNzP132MpKf+4S9EATXd1wlVTVYzv0BSYwq\nGiZlJORiz/vMNGagsyHN9W+He7Lleq3hOhc9TBbs/kAgpYUHNE7RSjNEbt/bBHUsYtVNk8Je5mwA\n9d9JT/0JPU167X5OeXuw5Im80WejjdA2OT89fc89JZhN+PTQpO1/Q9os2WJTHgqEY8UnsOropxgY\nfxNuTbg52OF4lWlMxy+Tb8Pnp77B8UZzwbRHJeW1sFjtIdGMEACkEhGy0yKx+1jzzXEo/EilUuTm\n5qK2tha5ubkoLg78qHrOG4MuxgzkmHs0eM/9htDTddMQYWjyWkvc+2k4byKbPPlttC/3EVudT6CV\nUmWDp9ENVvchnUjVJjXZj6caMedLsWrzlX9fXSZaFd0gEWxuvymentT7qRWUVFxfnu41k415f69p\nUOpGN+cNl264fO/YHq4amc6GdPQy90CaPrXJevkVTedjcj8PfLoZvcKVRHmoQXF/SeSpT92V990/\nu5aSYOf7zpvyyCtDfLtGdryyUbEg9lp27sl+45qxaKUJafoU2K40q1R7GOnQXeMRJZ3c52RK0Sai\nizEDfWJ6Nah5AjzXNnu7T9bI1BAJInSL7IIuxs6N12q8EQBAnIeEyD3BkzR68OEtQdXIVDBcqa3r\npE+BTCzzmJSLRWJkGNIQr45t1YMCsUgCbaPmxM7ENMlDIt+YVCxFZ0Nak7JTShSQiCQNEkNdhLbF\nvqWe+gFGKiIbJPVSPwyy1mbJ1unTpzFnzhzMnj3b9bfzP6K2UGYpxzv7l6OTLhkjM4YHO5wWDUu9\nAynaRCzZ/wHK23COmWAoKK7vmGoOkWaEANC7swlnCitQWMzJgumqF198EefOncPYsWMxb948PPro\no0GNRyKSoFtkpuumwP2m4Vqb67lLN3RCnFtfCJEgQqYxA90iuzRYLjsqC1lRV19znwtKJIiQoktC\nJ12y11oj93kLM70M/iOXyNEnOgfdIrugz5UpMTxxHneKPtH1xNwpURPXcNlmyqNxc8L6GpTmb+o9\nPbX3hfPJvff+VoJrMI90QyckaROb3Z6nm2UAMCqaDi7W+Ek/4Ht/OOe8RPVNM41em1k6gAYxO5M0\nT83KnGXsvSw9JWgNX+vWKA5ncpCkTUAvczaSNPU34o0TRAGej13RaLqXXuYeiGnURwgAiq/0q6q2\nVruaO3oiQPCYzDdMorx/l1v7PQbqH4CoZQ0TSWdTN2eZO7fqeZ457+e+sxmnp0TC+R1zHoN7gm5W\nmlwJsC5CC7FI3Kra417mHg1q7QAgWZsIhVQBg7zpg6WURp+Jew24O4lIghxzD8SrY10PZwQI0DZu\ndiw0fLjlqfY9VZdU/6DoCn+MdNpmW3RPqm677ba22iwRgPof6o8OfwIHHBjb/UGP7XVDjbP/1qwd\n8/GvgyswvucjITN3R2sVFldBAGDWt9wmPlCy0yIRIRVj64EC/OaWpk95KfxcvnwZSUlJSEpKwqZN\nm/DQQw+hX79+wQ4LSqkSSqkSsapot9HhRJCJpege1Q2HLx+9poEMJCIJ9I36kDgcjgb9UuQSOSLE\nsivN0K7eOEc0atLUOHExKgwot1S4OuUb5QZozRo40PLNiHutWXO/ed5uftw511fJVKi0VHrsw+Vk\ntdtajC1eHXuNw+rXfy4ikbhB7YaT3WFHnDoGCom8yWfieWueP+dOumTsKzroc1TOIfK9cd70O2uq\nVFfOxcZDg1vtVpiVUThddgYAkHalSZ9BrsNJL+M+RCkicab8XJPXneeWNsL7Z6VslCy4J3Xu50SK\nNgkykQwVdZVXJsYWPJ5TTZMdkcf349QxOHr5OBQSRYstsqIU9f0mdxVcHXQjUmF0nT/NrV3toVld\nYxqZpsFDDE+8fT9ank7Ac3Q9TVnYeWG321KCW1NTwfV/5+TD0Spzk4Q3SROPU6WnW9i/d0qpAlmN\nHgbFa+Kgk2ldvx0puuRWj74pCAISNfGugUpyzD0gFsT4qWAPAO99WwOhze5Yb7zxxrbaFFET2y/s\nws9FBzC2+4NNn1yEMINcj4e6PYC39i7Bv098jeFpLU/yHYoKiqth1MohlbT9RLHXSi6ToE+mCZv3\nncfwASnX9CSROo4PP/wQn332Gd5//33MmzcPR48eRXx8PDZu3IgpU6YEOzwAV28As6K6QHzlZkku\niWjwnLi5G0C5RO6qYelp6u5T8/3GgzFEKSNRWlsGaQtJjrP/TFVdteu75f6QK04d67HZWmNGucHD\nKIqt+672ju6JMks5jltONHny767OZoFcIkcPUxb2XTzQqn20xHnDGa+K8ZhglNaWIU4d45rnyJ2n\neoDmPjv3gQO8DT9d3+wsE7U2C3Kbaaquj9BB0Ioa1Aal61Pxc6PysTkaJpDOfleeEhvXAwMvn6Nc\nEtGkZrOl2hBvpSESREjQxOHolSkEvP3OeypP52tp+lTX3xK3Zo+e4nfOS2a60pROJIiQFdUVB4oO\nAWjY/FNoVGvirnEzPk866ZIbDBTTmHutr1FuQIWlwtVMzv1zcY6E2Nr5iCViKQRBcE0K7T5fmSsB\n81BGUYrIJsmWNkKDstry1gXgpvFIhVEevkfeGOUG12+Rey2wgPoR0bNNWU3O98b83RUq9KsHKOyV\n1Jbi42Of4gZzT/Ru1OSkPciKzMTdne7E+hNfQiPTtMsJjwsuVwV9MmNPBvSIxeb9F3DsTAkyk1rf\n14U6js8++wwrVqxAXV0dPvnkE3z77bdQKpUYNWpUsENrovFcOO41E81d8jONGbhcUwytTOP1Js3k\nZaQ+p2RNIhwaBwpbGH7cSSn1/L33dVQ3iYc+Pa0lEkRQSVXQyDSuvjzNiRDLkG3qDpvD5rpJ9nlf\nHmqu3AeEaFwjk6CJx9nyc0jRNd9s0Olqk62WpelTm60lU0qVzQ50EquOgUwsazLAiqchr53HbFJG\noaiZ4eWB+poNtVQFmVjaZIAMbwwRehTXlDQYSMF98m7fW3146MPkcHhMCjwng82XvDMO9/PevT9W\nlfXqXE8N+l822q5aqkZPU3evSWaXyM7NJlpAw1otZ62jcz/uSWf9hOOlDfbV3FFmm7rDaFCjoqw+\nqXdOou1e2+1qtuhDEpKiS0LpdSRa1ytOHeOxWa4zdl/OLX+3OmqfbZoobDgcDnx4eA0kIgnuzxwR\n7HCu2Z3Jt+G2hFvw8bFPsf3CrmCH02qFxdWIDqH+Wk6dk/SI1MqxaV/LT9ipY1Mq68/PnTt3olu3\nbq5/Wyytnwg2uLzf3EhFEkQrTU0647trbgAHoP4GRCSIGjzFvha+Nnf0dLN2LSMGSkUSZBrTm00u\n3MnE0ibNnzz1h2rM0wM9wa0/lvtx94nphRiV+coACd4fRnm6kfPUpCnd0KnReuIWb3Y9bbuXORvp\nhk5NagucvI2KB9T3p7nByyApThKRBOYr51mSJqHFqQmA+uSlcS2rs/YkTZ/q881u49Jw9klzJSFu\nCYrzPPM8EbLDS9k2f25Gyj2fQ423JKC+drDx56ySqZCkTWh2gBRfeJrs21cysbRBzVtnQxrMSlOD\nmJy1q74k0yqpytU1yvn9bDw6YyC59+Fy/38wMdmikLajYDcOXDqMUZn3XvePUzAJgoB7M+7GjTG9\n8d7Blfgm7/sW58kIFXaHA4Ul1SEzEqE7kSBgcK84bDtYgMtlLbeRp44rNjYWc+fOxd/+9jeMGTMG\npaWlmDdvHjIz/TPvkr9cV3NYwXN/Fk/suL45AK+v2U3T374MQzpS3Yb+bmvphk6ueaoaD6/fEqPc\nCLPShDh1rNeavuZ4So5FgqjBCGi9zNlNarGutYjFIjH0ETqv54L7Z9fZmH7lNe/njXMkO0EQNRnV\nTiwSu2rOWtuX2lmWngYA8epK7Aa5AfGaONckz85jck8kncm2t+Te0014nCoG2git15Eb3SfZdt9u\nkz14+fC6Gju3ahj0xpxJrvtnKHUNZnI1gbI6mvYr9EYqkiBJm9Bgm86ktaXfk8YjMTofOsS1MMWF\nPzmbGjf+jQpm0sVmhBSySmvL8fHRT9HbnI0cLyPStCciQYTRXe+HTqbFutzPcaGqEKMy7/XLyDdt\nqaS8FnVWO6JDZI6txob0TsCX207j/7bmYcyd7evGmtrOK6+8go0bN2Lo0KHo2rUrjh07BqPRiKee\neirYobXK9Tyxbk1TmOu98WjrPpItDRTgC1GjfjLux+ieyKRok5CiTWowUABwddjxrKgusNisOFZ8\nHEaFwRWbtxEEr5VCIkcJ6vtleRoIwdO8WW1NK9MgRZfUZMAUd4ma+BYnJU43dIJc3LoBlIxyA9Qm\nVesGLnDVhqUAgKs/oPOzzjCkNZks1/1MdT9tnSP6uTdnlEvkTUbP8x6Ke7O9xjf2104QRA3m2nLy\nNsKnLkKLNH1qg355wXqYa1JGQiGRQ9NM30p/S9IkIEZ5tVbXmXQ1d477W2jf5VHYqm8+uBoiQYT7\nO7ff5oONiQQRRqQPRbTKjBWH1+B8RQEe7fGg2/C8oafgcv2oVaHYZwsAFBES3NUvCes2nsTQ/kmI\n0oVmnORfYrEYgwcPdv07IyMDGRmehygPVRGSiGseaVUlVTUZUbA51z/5b8PbSW+TxHpK6jz1GQq2\n3tE9XbHWP533T025zG3UvThVDIxyvdcmiLWtHI3tWrXmvPHGlxEYPfE10YqUG1FWW+Z1dD7nDbVU\nJIFUdmW4dA+nuFwsh1FhQJw6FhKRxJXAtGaESrPShMKqi3D/DiilCqToknChstDjBL+t4evD5Uxj\nBuwOO0SCCIZGkz9LRVcnlr6WeFqbrDkf9IgFcZs/lGgtkSBqUFsqEkTobExvtqmvk+4az+OWMNmi\nkPTtmQ3Yf+kQHu/xkM8dsduTm2L7IFZlxjv73sfrOxbg0e4PorMhPdhheXT+chVEggCTPnSTmCG9\nE/DV9jP4bNMpPDKsa8srEIWgDH3TyTt91TWy8WSozbtcXT/Zc+N5bXzlnjSk6VO9jprn6XhaHrb6\n2jSpXfCxLCUiSatqBZ01X9fCfYANQRCa7+vlx54eUrEsKE3zk7VJ19SENVJhQKSi6UNJtUxdP0pf\nK/oQdrrO5qoyLwNbRCkiXQPPXE/NcUvTITg1d28kl0Qgx9zjOqbJaT7ZStUlN2hSG600Q4DQbH/S\nYPJlFOsbonP8NiphSPTZKigowLPPPotXXnkFH3zwQYP3Nm7ciAkTJgQpMgqGk6V5+DT3CwxJHIie\npqxgh+M3KdokTO37DOJVsfj7nnexq/DnYIfk0dmLlYg2KiCVhMTPhUeKCAmG35yCzfvP49zF9j2B\nNIWmN998ExMmTMC0adPwww8/tOm2nc1/Ajl9gbM2/VqbqrnflBjk+lY2h/ZPEye9jxP9NtZ4zp+W\nKCSKNmn22BJ/Dkfd05TlaooXSCZlJKKvo89SY84aHX8P3d0e+XM+0kiFscGDAoVEjmRtYrudSxTw\n7zkUEqWycuVKjBkzBjNmzMAPP/wAm62+Y9+2bdtw+vRpVFdXt7AF6iiKa0rw7v4PkKiJx2/SfhXs\ncPxOLVNhfM5Y9DBlYcn+D7Dp3I/BDqmJsxcrkGAK/drFwb3iEamVY80PJ4IdCnVAu3fvhslkgkQi\nQffubduH1DXMcgA7cDub2VzrPkNhhC93Pc09kKz1bfh1dzKxrMUhuNtCa27kIlyfTevo5foWR6Ps\naATX//18Prp9fka5ATKxDNpmapbae/LXPobvaj9CohlhUVERYmPrRy7RarUoLy+HXq9Hv3790K9f\nP3z//ffNri8WC9DrQ7PzfqgRi0UhW1ZlteX4+/Z3IRIJePbmxxClvLanlG0h0OX07IBHsWzPKnx0\n5BNo1Urcmtw/YPtujsPhQP7FSvTtGuOxPELtfHrgl12w8OM9uFRZh7R4/7S9vhahVk7UslWrVmH9\n+vWum6Zf/OIXGDNmDI4dO4YFCxbglVde8bpua69JSksErBILDAa1T5OhtoUaiQJKWwS0Wjn06taf\nmw6HA8qKCCgk8haPVVnesD+XyaiDNkLZJt8L57ZNRs/XC2V5BFRSpcf99JH3gFIq99hvSFYnQFkd\nAbWy5ePzxQD1Daix1kIvb3lb/TQ9cfRSLpKjYiARSVosJ2cZ9EnsuC1BvHGdxyp5k3KqkVRe7Urj\n3QAAIABJREFUOceVLZ7jyvII6CI0Xsv5Vk1f2Ow2KKRyAEqYI/t6XE5dGwFYbNDrlSFdy9PSOaWv\nUsFiq+N1q42ERLIVFxeHCxcuIDo6GmVlZdBqG/5ottRRz2ZzoKSkyp8hdhh6vTIky6qqrgpv7FmM\n8toKPNt7HCQWOUoswYszGOU0IuVuVNXU4u2fPoC11vN8L4FWVFqNqlorojQyj+URaudTdqoeUTo5\nVnx9GE/d0yPY4biEWjmFMpPJ/82zfHH//ffj/vvvd/178eLFAACdToe6urpm123tNUlmVaCqsgjl\npTUBeyJeVlWNqspalEtqEGG9tnOzqrIWdonQ4rHGyxJwrDgXAJAV1RX2ajFKqqva5HtRVVk/8py3\n7WSqMiEI3mKUoKrGiio07X9lsVlQVVmLOqEt7y8kKKnxbVsJsiRUlFkAWFosp5bKoCMrq6pBVWUt\nKhy1sBntDcrAYRXXl41CjJIWzvEUeQqkImmLZViL5t+vqKhFVV0tSkuqQ7p2q6VzKjEiGdXW6rA8\np9y11fUoJJKtkSNHYtasWVCr1bjjjjswc+ZMTJ06FRJJfXihfMLS9SuuKcGbe99FaW0ZJvR6rMk8\nHuFCJIjw+y6/RY2tFssOfASZSNpkEshAO3uxEgAQbw79ZoQAIBaJMLR/MpZ/dQT5RZWIi2q/c7NR\naLHZbHjppZdQU1ODcePGtem2zcoo1/w5gRLIZkJSt8E0At2B3tfBBhqTiWXINGa4hgcPZWaV6bqm\nDOgIPN0nKiRyr8OlN6ZsB59zIEWIZV7nGqPWC4lkKyoqCnPnzvX6vvOJInU8Z8vz8Y+9SyASRHi2\n97igDxkabCJBhIe7jcLife/hnf3LMb7nI0EdpfDcxQpESMWI0oXmCEOeDOgRg083n8QX2/Iwdli3\nYIdDHcSTTz4Z7BBCki9Dfvt74A+jwuiX7baXkXCTNAnBDiFonH21QqUPYbI2EecrC1hJQA2EboNS\n6vB2FuzB3J/+DrVMhSl9ngr7RMtJIpLg0e6j0UmXgrd+XoZjxcEb8OHsxUrEm1QBHSXtekklYvzi\nhgRsO1iAssrAzFND1H5d+3c7x9wD8erYFpdzr9lqa31ieqHTNQ5fTx1JaFyjVFIl0vWpwQ6DQgyT\nLQq4OrsVq499hqUHPkSPqG6YfMNT1zwhYkclFUvxRPbDSNYk4M2972Dvxf1BiaN+JML21xRvUE48\nBEHA97vPBTsUopDkbCJ0PU2FJCKJT0/wr7UpH1FLnKdfaKRaRJ4x2aKAOldxHnN2vIENZ7fit+l3\n43+yfs92wV5EiGV4qudYdI/sgsX7lmPD2S2tntX9elTXWnG+qApJ0aExYEFrqBVS3Nw9Bt/tPoc6\n67XNI0TUkekjdMiK6tJumsoRNYfN9iiUMdmigKix1uDT3C8wZ8cbsDvs+GOfpzEk6Vb+QLZAKpZi\nbPcHMTC+P1YeXYflh1bBYgtM07ijZ0pgdzjQNdkQkP21tTv6JKKs0oKtBy4EOxSikOQ+KSlR+xRa\nfbaIPAmJATKo46qz1eHHCzvxxcn/oNJajduTBuGulNshC8Akkh2FSBDhd5n3IFmbiBVH1uJ0+Vk8\n1O0BJGri/LrfQ3nF0KlliDG2z1Ga4qJU6JURhS9+zMMtPWIhEvFiTBRM2ojgzZ1IHZPVXj8NQ2lt\nWZAjIfKOyRb5RWVdFbbkb8d/z2xEmaUCOeYeGJH2K0QpIoMdWrvVP7YPEjXxWHbgI8zZ+QZ+lXI7\n7kwe4rf+EIfyitEt2dCuax+H9k/Ga8t/wk9HL6Jvl/CcUoAoFPQ094A4hCd5pfbJYqtPtirrKoMc\nCZF3TLaoTeVXXMD3Zzdh+4XdsDvs6BOdg18mD0aMKjrYoXUI8epYPNd3Aj4/+Q0+P/kf/FSwF/d3\nHoFMY9sOD19eZcGZwgr8ok/7HlI4LV6HLkl6rN1wAjnpkZBK2FGfKBikIt5ukB+032eBFEb460fX\nze6w4+ClI/j2zEYcLT4OjUyNO5IH45a4/tBFtL/BFUKdVCTBb9J+hd7mbKw8sg5v7HkbPU3dMbzT\nnYhto6T2yOkSAGi3/bXcPfCLznhl2Q58tvkUfjsoLdjhEBERURhhskXXrM5uxY4Lu/Ht6R9woaoQ\nSZp4PNRtFHqbsyHhU0y/S9TE49kbxmH7hV34vxNf47Vt/4s+0Tm4PWnQdffn2n3sIqKNSkTp2n8H\n+kSzGsNuSsb/bclDZpIe3VPZlJWIiIgCg3fE1GpVdVXYfKU/VqmlHN0ju2BU5j1I13dq1/172iOR\nIEL/2D64IToHm89twzenv8eOgt3orE/DwISb0COqW6ub71TW1GHnkYv49YAU/wQdBHffnILcc6WY\nv+pn3H9bGn7RJ5EDZhARtXNqqQqFuIg4HybXJgoWJlvks3MV57Hh3FZsP/8TbA47+kb3wu1JtyJO\nHRPs0MKeVCTB4MQBGBjfH7sLf8Z/z27Gu/vfh0qqxA3mHNwQ3ROddMkQ+dBB/ccDBbDZHLi5e8e5\neEnEIky8vydWfHscK747jk37LmDMXZlIj+dk2kRE7RWHfKf2gMkWNavGWoNdhfuwJX8bTpadhlqq\nwu1JgzAwvj90HMY35IhFYvSJ6YU+Mb2QX3EBW85vx66Cvdhwbgt0Mg2yIruie1QXdDakeZxjx+Fw\nYMPefGSnRcKgiQjCEfiPWCTCH+7ojH5do/HBf47i9fd3YcTAVAztn8xaLiKidkglrZ+ahPcjFMqY\nbFETdocdx0tO4MfzP2H3xX2w2CzINKRjbPcHkR3Vjf2x2ok4dQxGZvwa96bfjdySk9h78QD2XzqE\nLee3Q4CAJG0COuvTkK5PRZo+BQqJAj/nXsKZwgrcc2unYIfvN+kJOjw/+gas3XgCazecwN7cIjx4\nRyaSYziYCxFReyITy9AnplewwyBqFu+aCUB9gpVXdga7L+7DroKfUVxbgki5Eb9IGoT+MTcgUmEM\ndoh0jUSCCBmGNGQY0jASv0ZhVRGOFB/HkeLj+PH8Tnxz+nsIEBCrikHhWTkSM80wx9TBZrf5bQ6v\nYJOIRbhvcDqyO0ViyeeH8PKyHYiPUqFbihFdkvXISjFCJu2Yx05ERESBIzgcDkewg7hedXU2lJRU\nBTuMdkGvV+JycQWKa0pxvvICzlcW4ERpHnJLTqLSWgW1VIXsqCzcGNMbafoUn/r4dER6vTIszimH\nw4GCqos4XnIS3xzci4t1+RDk9cctEkQwRuhhkOuhlCigkCoQIZZBJpJBJVVCLVUhPtIEuU0Fo9zQ\nbms866x27D9xCTuOFOLomRJcLqtFhFSMGzJNGJgdi86J+use+CVczqe2YDK1/xpGXpN8w++Fb1hO\nvmE5+Y5l5Zu2uh6FxN1RQUEBZs+eDb1ej7S0NPzhD38AAGzduhXr1q0DAIwaNQq9erGq2FcWmwXF\ntaUoqr6Ei9WXUFR1CReri3DZUozCiiJYHTYAgFQkRZImAQPj+yPTmI40XWqHrc0gz6yVSuz+UYGz\nx9Lxh18ORf8ekThTfg4FVRdxsboIpbVlqLJWo6SiDLV2C2qttaiyVqHWZnFtQ4AAo1wPkyIKerkO\nepkWapkaSokCSqkCcrEcCokcKqkSCkl90hYqI1dKJSL06mxCr84mAMC5okrsOFSAzfsuYMv+CzDr\nFejTxYxuKQYkmNTQKKUhEzv517p167Bv3z5Mnz4dVVVVePHFF2EwGKBWqzFhwoRgh0dERO1ASCRb\nK1euxJgxY5CTk4PHH38co0aNglgsxtKlS/HWW2/BarVi4sSJeOuttwIWU7W1BrklJ+GAAzaHHXaH\nHTa7DVaHDTa71fWaw2EHBAECBIgFEcQiMSSCBGJBBJFIXP//K7VDAoRGN2nufztgv7JNq90Ki92K\nOlsdam21qLVZYLFbUGerQ53dCpvD5lrW7nDA5rDCareh5spNcIWlEpXWq08sRIIIUXIjopSR6G7K\nhCbmRpgUkYhRRiNSYQi72qsaixW5+WUQCQLEIgEikQBBuDqqkSAA6nILKipqfNqe3eGAww7UWW2o\nrbOjutaKWqsNVqsdErEIMqkIcpkEUokIYpEA96pksVC/f7FIAISGIys5UL9dm90Om90BB+rPGJEg\nQCwWIBLqzydv9/0Ox9VtWKw2VFTX4VJZDQouV+FiSQ0uldWgvMqC6lob5DIxnrq3B3pfSTgyjenI\nNKY3e9x1tjrYIyw4UXiuQVKfX3EBh2qPoKKuCrYrSX1jEkEMlVQJlVQFhSshi0CEJAIRIhlkYhlk\nIimkYimkIgkkIgkixBHoHtW11UPZt1Z8lArxAzvh17ek4nBeMTbvu4ANe/Px+Y95AABFhBhmgxIx\nRiWidHIo5RIIEFBntcFitcNud0AkEhAhFUMmEUEsFkGlkiFCJCAnI4qJWjvxxRdf4OLFi7DZbK5/\nDx48GMOGDcO0adNQWFgIs9kc5CiJiCjUhUSyVVRUhNjY+mGmtVotysvLodfr4XA4IBaLIRaLUVdX\n53V9qVTsh6YnGiTFmtp4mxQqEuMNwQ6hw0gwdNyh/6PNWgzqmxzsMCgAVq1ahfXr1wMABEHAn//8\nZ2RnZ2Px4sUA6q9Tffr0AQCYzWZcvHjRa7Lln2tSx8Ry8g3LyTcsJ9+xrAInJJKtuLg4XLhwAdHR\n0SgrK4NWWz+Ep1wuh9VqhdVqRURExxqGmoiIQsf999+P+++/v8Fr586dc/0dGxuLgoICAGCtFhER\n+Swkkq2RI0di1qxZUKvVuOOOOzBz5kxMnToVY8aMwfPPPw+r1Yrx48cHO0wiIgpTd955J6ZPn45d\nu3YhOTkZJhNbPhARUcs6xGiEREREREREoSa8RkYgIiIiIiIKECZbREREREREfhASfbauB+dB8d2b\nb76Jo0ePQqVS4a677sKgQYOCHVLI8TbnGzWUn5+P8ePHo2vXrjCbzZg0aVKwQwpJeXl5mDhxItau\nXYt3330X586dQ0VFBaZNmwaDgSNiOrmX05///GfY7XYIgoAHHngA2dnZwQ7PZ/z9uGr37t1YsWIF\n1Go1jEYj5HJ5g/PfYrE0Katw/o5MmTIFQ4YMwfnz51lOXpw7dw7/+Mc/oFarodPpEBERwbLyoKCg\nAG+++SbUajUAICoqiuXkQXPXZ1/KyNMy3rTrZIvzoLTO7t27kZKSAovFgu7duwc7nJDkbc43amjH\njh2uAQI42bhnRUVFWL16NZRKJSwWC3bs2IFFixZh27ZtWLVqFZ544olghxgS3MsJAI4ePYrs7GyI\nRCJkZGQEObrW4e/HVWVlZXjxxRehVCoxduxYyGQyvPXWW9i+fTtWrVqF2tpaV1k98cQTGDFiRNh+\nR5YtWwaVSgUA2LlzJ8vJi6VLlyIpKQmnTp3CgAED8NFHH7GsPDhx4gR+/PFHdO/eHZmZmTynPPB2\nffaljDwt09LvfbtqRrhq1SqMHj0ao0ePxpgxY5CamoqhQ4e63i8qKkJMTP2cP855UMKZs7zGjBmD\nMWPGYNCgQZg+fTrGjBmDBQsWBDu8kORpzjdqKjs7G7NmzcLMmTOxdOlS1wMPuioqKgqTJ0+GUqlE\naWkpoqKiAAAxMTFh/9vkzr2cAOBPf/oTZsyYgVtuuQXvvfdekKNrHf5+XDVo0CAolUosWrQIw4cP\nR2RkJAAgOjoahYWFHssqHL8j3333HTQaDXJycmC321lOzcjLy8OgQYPw6quv4p133mFZeRETE4Ol\nS5di3rx52L59u6uWiuV0lbfrsy9l1Nwy3rSrmi3Og9I6jcvLOTmnTqdrdpLocOZtzjdq6NChQ8jJ\nyYEgCFCpVLDb7WH7BN8XkZGRKCkpAQBcuHAh7H+bPHE4HKisrMSxY8fQt29f6PX6dvc7xd+Pqyor\nKzFz5kwMHz4cffv2xX/+8x8AcJWP3W7H+fPnER0djdLSUpjN5rD8jqxfvx46nQ4nTpwAAFcNF8up\nKZPJBJVKBbFYDLlc3qAcWFZXffDBB/jtb38LAFCr1cjPzwfAcvKm8fXZlzJqvExLv/ftfuj3c+fO\nYfHixXjppZdQW1uL6dOnQ6vVIioqCk8++WSwwwspixYtwoULF1BTU4Nx48YhOTk52CGFnKKiItec\nb927d8d9990X7JBC0oEDB7B48WJERkaic+fO+N3vfhfskELWY489hsWLF2P58uU4ceIEysrK8PLL\nL7va01M9Zzm9+uqrEAQBFRUV+OMf/wij0Rjs0HzG34+r/vznP+P06dOIi4uDWCxGt27dGpz/NTU1\nTcoqnL8j69atg0wmw6VLl1hOXuTm5mLhwoXQaDTo168fiouLWVYeHDx4EG+88Qbi4+MRHx8PqVTK\ncvLC2/XZlzLytIw37T7ZIiIiIiIiCkXtqs8WERERERFRe8Fki4iIiIiIyA+YbBEREREREfkBky0i\nIiIiIiI/YLJFRERERETkB0y2iIiIiIiI/IDJFhERERERkR8w2SIiIiIiIvIDJltERERERER+wGSL\niIiIiIjID5hsERERERER+QGTLSIiIiIiIj9gskVEREREROQHTLaIfHDu3DmMHj0akydPvuZtlJaW\n4osvvgAAzJo1C5cuXfK43JAhQ3x67VpNmzYNO3bsaPBac/EQEVFo4TWJqP1gskXkI0EQMHfu3Gte\n/8iRI9iwYQOA+otLZGSk1/348lpbai4eIiIKPbwmEbUPkmAHQBSqKisrMXnyZFRWVsJsNsPhcOD2\n22/Ht99+i9GjR8NoNEIkEmHevHlN1r18+TImTpwIh8MBQRAwf/58vP322zh8+DD+/e9/Y8WKFZg9\nezaqq6sxY8YM2Gw2mM1m/O1vf3Nt4+9//zuKi4vxwgsvoLq6Gs888wwKCgpwyy234Omnn8a0adNQ\nXFyMmpoaLF68GDNmzMDZs2cBAC+88AIyMzOxZMkSbNiwAWVlZcjOzsZLL73k2v7mzZvxzjvvYOHC\nhRg3bhxmz56NhQsXQiaT4cyZM6ioqMCCBQug1+sxefJklJeXIyUlBWfPnsXSpUv9Xv5ERHQVr0m8\nJlH7xJotIi9WrlyJXr16Yfny5Rg6dGiT90eOHOnxogYA+/btQ2JiIpYuXYrx48ejrKwMjz/+OAYO\nHIhhw4a5ngr+9a9/xbPPPosVK1Zg0KBByMvLg8PhwD//+U+UlpbihRdeAABUV1dj+vTpWLFiBXbu\n3InDhw8DAAYPHoxly5bh448/RkJCApYvX45Zs2bh5ZdfhsPhgMViwbJly7BmzRr8+OOPqKmpAQBs\n2bIFixcvxltvvQW1Wt3gKWVaWhqWLFmCIUOGYP369Vi5ciWysrKwfPlyDBs2DDabrU3LmYiIWsZr\nEq9J1D51qJqtvLw8TJw4EWvXrvX4/v79+zFnzhy89957AIC//e1vsNvtKCoqwvPPPw+dThfIcCnE\nnTp1CnfeeScAoHfv3li2bFmD91NTU72uO3DgQOTm5uLxxx+HRqPBH//4xybLOBwO5OXlITs7GwDw\n29/+1vXetm3bEBcX5/p3UlISoqKiAAA9evTAqVOnGsRw7Ngx7N69G9u2bYPD4UB5eTkEQYDVasXk\nyZOhUqlQXV0Nq9UKANi+fTtqamogFoubxNWlSxcAQHR0NM6dO4f8/HzccccdrnIgIqLA4zWJ1yRq\nnzpMzVZRURFWr14NpVIJoL66+7XXXsNzzz2HM2fO4NixY9i0aRMkkvr8cv/+/Th//jzq6uqQmJjI\nRIuaSE1Nxe7duwEABw4caPK+SOT967Nt2zYkJSVhyZIluPPOO7F8+XKIRCI4HA4AcDXlSEtLw/79\n+wEAb7/9NjZs2ABBELBkyRIUFBRg06ZNAICzZ8+ipKQEdrsde/fuRUZGRoMYUlNTcc899+C9997D\nwoULcffdd+Pw4cPYtWsX5s6di4kTJ6Kmpsa1/4kTJ+Kuu+7CwoULXfE4NW6Ln56ejj179gCAqzyI\niCiweE2qx2sStTcdJtmKiorC5MmToVQqkZubi40bN0KhUECtVmPbtm3IyMjAk08+6Xpqcvr0aURG\nRuL555+Hw+HAtm3bgnwEFGoeeOABHDlyBKNHj8aXX34JQRBcP/otdQ7OzMzE8uXLMWbMGHz88ce4\n7777kJiYiP3792PNmjWu9adMmYL58+dj9OjROHLkCG666SbXNl5++WW8/vrrqKiogMFgwIwZM/DA\nAw9g0KBBSEtLa7C/UaNGYd++fRg9ejQeeeQRpKenIyUlBVarFb/73e/wzDPPIDExEYWFha51Hnnk\nEWzduhX79u1r9nhGjhyJI0eOYMyYMVi9erXrgQUREQUOr0n1eE2i9kZwuD8+6AAeffRRTJs2DYsX\nL8brr7+OI0eOoLa21lUt/uijj+Kdd97Bjh07sHXrVkyYMAHvv/8+0tLSGvyoEFG93bt3o66uDjfe\neCO2b9+OtWvXYtasWcEOi4iIwhCvSdTedLjHAc5qcLVajZdffhmXLl1ydeh0vg8Affv2xfr16/Hq\nq6+irq4Ov//974MVMrVjBw4cwOuvv+46r5xNMZ566in069cvyNG1jfj4eEyaNAkOhwMSiQR/+ctf\ngh0SERF5wGsSUegJ+Zqt/Px8jB8/Hl27doXZbMakSZOCHRIREYWhc+fO4R//+AfUajX0ej3GjRsX\n7JCIiCjEhXyfrR07dsBkMgEAevXqFeRoiIgoXC1duhRJSUkoKyvDDTfcEOxwiIioHQj5ZoTZ2dkY\nMGAAIiMj8fDDD2PgwIEehwYlIiLyp7y8PIwcORJjx47FI4884ppGhIiIyJuQT7YOHTqEnJwcCIIA\nlUoFu93eJNmyWm0I7caQ/iEWC7DZwu/AedzhhccdXqTS0H2YZjKZoFKpIJFIoFarvS4Xrtek1grX\nc7y1WE6+YTn5jmXlm7a6HoV8spWcnIw5c+YgMjISgwYNglQqbbKMwwGUlFQFIbrg0uuVPO4wwuMO\nL+F63CaTJtgheDV27FjMnTsXGo0GQ4cO9bpcuF6TWitcz/HWYjn5huXkO5aVb9rqehTyyVZWVhbm\nz58f7DCIiCjMpaWl8XpEREStEvIDZBAREREREbVHTLaIiIiIiIj8gMkWERERERGRHzDZIiIiIiIi\n8gMmW0RERERERH7AZIuIiIiIiMgPmGwRERERERH5AZMtIiIiIiIiP2CyRURERERE5AdMtoiIiIiI\niPyAyRYREREREZEfMNkiIiIiIiLyA0mwAyAiImoP8vPzMX78eHTt2hVmsxmTJk0KdkhERBTimGwR\nERH5YMeOHTCZTACAXr16eV1uf+4JVFTUBiqsdkt9KYLl5AOWk29YTr5jWfnGZOreJtthskVEROSD\n7OxsDBgwAJGRkXj44YcxcOBAiMXiJsudzi+Ew+4IQoTty+UygeXkA5aTb1hOvmNZBVa7SLamTJmC\nIUOGYOjQocEOhYiIwtShQ4eQk5MDQRCgUqlgt9s9JltDB/ZHSUlVECJsX/R6JcvJBywn37CcfMey\nCqyQT7aWLVsGlUoV7DCIiCjMJScnY86cOYiMjMSgQYMglUqDHRIREYW4kE62vvvuO2g0GuTk5AQ7\nFCIiCnNZWVmYP39+sMMgIqJ2JKSTrfXr10On0+HEiROQSqUYMGAAdDpdk+XEYgF6vTIIEQaXWCzi\ncYcRHnd4CdfjJiIi6khCOtmaN28eAGDdunWQyWQeEy0AsNkcYdn2NFzb3PK4wwuPO7yYTJpgh0BE\nRNRmQjrZchoxYkSwQyAiIvKJpaYYVkt1sMMIeZaaWpaTD1hOvmE5+Y5l5au2efjXLpItIiKi9qKy\nNA+1lZZghxHyKh0ylpMPWE6+YTn5jmXlq8Q22QqTLSIiojakN/UAZOHXBLS19Doly8kHLCffsJx8\nx7IKLCZbREREbUgQiSEITeffooZYTr5hOfmG5eQ7llVgMdkiIqKwY7PZ8Pnnn6OwsBA5OTno1KkT\nDAZDsMMiIqIORhTsAIiIiAJt6tSpuHTpEr755htYLBZMnjw52CEREVEHxGSLiIjCTkFBAR5++GHI\nZDLcdNNNsFjYWZyIiNoeky0iIgo7BoMBH3/8MaqqqvDFF1+wCSEREfkFky0iIgo7s2fPRlVVFbp3\n744LFy5g9uzZwQ6JiIg6ICZbREQUdtasWQOJRIKMjAzIZDKsXbvW53WnTJmCzz//3I/RERFRR8Fk\ni4iIwo5SqYRSqYRCocDZs2exZ88en9ZbtmwZVCqVn6MjIqKOIqBDv9fU1EAulwdyl0RERE3cc889\nDf49ZsyYFtf57rvvoNFokJOT46+wiIiogwlosvX0009Dp9PhV7/6FW699VbIZLJA7p6IiAhAfZ8t\nQRAAAJcuXYJE0vLlcP369dDpdDhx4gSkUikGDBgAnU7XZDmxWIBer2zzmDsasVjEcvIBy8k3LCff\nsawCS3A4HI5A7rCwsBBff/01tmzZArVajWHDhmHQoEHXtc26OhtKSqraKML2Q69X8rjDCI87vITr\ncZtMmoDsZ/v27a5kKyIiAllZWRCLxT6tu27dOshkMgwdOtTj++F6TWqtcD3HW4vl5BuWk+9YVr5p\nq+tRwJsR/vTTT/jpp59QW1uLfv364eTJk/joo4+waNGiQIZCRERhaMKECRAEAY2fMwqCgAULFvi0\njREjRvgjNCIi6oACmmw9/PDDuP322zFlyhTEx8e7Xq+qYnZNRET+96c//cn1t7NmC0CT5IuIiKgt\nBDTZeu6553D06FHEx8djxowZuO+++9CjRw+MHz/e6zp5eXlYsGABjEYjsrKymnRqJiIi8pXzQd/K\nlSvxySefwGq1wmazQSKRYPXq1UGOjoiIOpqADv3+6quv4o477gAAPPPMM5g1a1aL61RUVGDy5MmY\nOnUqvvnmG3+HSEREYWDlypVYsmQJsrOzMXv2bBiNxmCHREREHVBAky2RSAS9Xg8AMBgMsNvtLa6T\nlZUFiUSCJ554gsPtEhFRm9BqtVCpVCgrK0NmZiZKSkqCHRIREXVAAW1G+OCDD2LkyJHZDjv6AAAg\nAElEQVSIiYlBYWEh/ud//qfFdQ4fPoyYmBi8++67mDBhAsrLy6HRNBwdJFyH2Q3XoTt53OGFx03+\nMGzYMCxbtgw9evTAvffeC7PZHOyQiIioAwposjVixAiMGDECly9fhl6vh0jUcsWaxWLBjBkzEB0d\njcTExCaJFgDYbI6wHMIyXIfu5HGHFx53eAnU0O9paWno3bs3AODee+/1eG0hIiK6XgFNtt555x2s\nXbsWCoXC9VpLHZKzs7Pxxhtv+Ds0IiIKI19//TXmzp2Lnj17YtiwYcjKygp2SERE1AEFNNn64osv\nsG7dOkil0kDuloiIqIGpU6cCAPbu3YuFCxfi5MmT+Oqrr4IcFRERdTQBTbZycnJw5MgRdOrUyTW/\niXstFxERUSDs378fX3/9Nfbs2YOsrCw8/fTTwQ6JiIg6oIAmW6dOncLs2bMhCAIcDgcEQcB7770X\nyBCIiIjw8ccf4+6778akSZMaTG5MRETUlgKabL377rvIz89Hfn4+kpOTERUVFcjdExERAQBefvnl\nYIdARERhIODJ1p49e3D27Fk88MAD2L9/P1555ZVAhkBERERERBQQAZ3U+LvvvsPChQuhVqtx//33\n48iRI4HcPRERkcuuXbvw73//G7m5ubBYLC0un5eXh2effRavvvoq1q5dG4AIiYiovQtosiWRSJCX\nlwdBEHDx4kXI5fJA7p6IiAgAMHPmTHzxxRdYunQpjh07hilTprS4TkVFBSZPnoypU6fim2++CUCU\nRETU3gU02Xr55Zfx17/+FcXFxXjppZfwwgsvBHL3REREAIBDhw7h+eefh1KpxF133YWLFy+2uE5W\nVhYkEgmeeOIJ5OTkBCBKIiJq7wLaZ8tqteKZZ54BAI7+REREQaNQKLBlyxbYbDb8/PPPUKvVLa5z\n+PBhxMTE4N1338WECRNQXl4OjUbTZDmxWIBer/RH2B2KWCxiOfmA5eQblpPvWFaBFfABMgDA4XAg\nNzcXBoMBb7/9diBDICIiwqxZs/DPf/4TSqUSn332GV577bUW17FYLJgxYwaio6ORmJjoMdECAJvN\ngZKSqrYOucPR65UsJx+wnHzDcvIdy8o3JpPn3/jWCmiyNWvWLNffDocDjz/+eCB3T0REYe6HH35w\n/X3zzTfj5ptvBlDfrNBsNje7bnZ2Nt544w2/xkdERB1LQJMt94tcUVGRT23kiYiI2sq+ffu8vjdo\n0KAARkJEROEgoMmW+0UuIiICCxYsCOTuiYgozD399NMAgMuXL2PVqlU4ceIEkpKSMGbMmCBHRkRE\nHVFARyM0GAyu/5RKJTZt2oQPPvgAH3zwQSDDICKiMDdhwgQkJiZi3LhxSE1NxaRJk4IdEhERdUAB\nTbZ27NiBs2fPIioqCpcuXcJXX30FpVIJpZIjohARUeAIgoBhw4YhNTUVw4YNg81mC3ZIRETUAQW0\nGWFxcTHmz58PALjzzjvx0EMP4Z577vG6/O7du7FixQqo1WoYjUY89dRTgQqViIg6MLlcjieeeALZ\n2dk4cuQIysvLMWfOHADAc889F+ToiIioowhosqVUKrFgwQJ069YN+/btQ2xsbLPLl5WV4cUXX4RS\nqcTYsWMDFCUREXV0jz32mOvvvn37BjESIiLqyAKabC1YsADff/89Tp8+jZycHNx2223NLu8cGWrR\nokUYPnx4IEIkIqIwIJVK8fXXX6Ours712gsvvBDEiIiIqCMKaLJ18uRJrFmzBqWlpbjrrrvw3//+\nF0OGDPG6fGVlJWbOnInhw4ejf//+XpcTi4WwnAk7XGcA53GHFx43+cMLL7yA6dOnQ61WBzsUIiLq\nwAKabP3lL3/B/Pnz8eyzz+K+++7D6NGjm022XnvtNZw+fRqffPIJPv300waTIruz2RxhORN2uM4A\nzuMOLzzu8GIyaQKyn27duiE7O5sDNBERkV8FNNmy2WyIiooCAKhUKigUimaXnzlzZiDCIiKiMJOc\nnIwhQ4YgISEBDocDgiBg9erVwQ6LiIg6mIAmWyNGjMBDDz2EvLw8jBs3DnfddVcgd09ERAQA2LJl\nCzZv3gyxWBzsUIiIqAMLaLIVGxuLefPm4ezZs4iLi3PVchEREQVS586d8c033yAtLQ2CIAAA0tPT\ngxwVERF1NAFNthYvXox//etfMBqNgdwtERFRA7W1tfjhhx/www8/uF7z1i/YiXM/EhFRawU02bp4\n8SIGDBiA2NhYCILANvJERBQUr776KnJzc2G32wHUX59awrkfiYiotQKSbD355JNYtGgRvvzyS3z6\n6af4zW9+E4jdEhEReTRu3Dio1WqcPHkSEokECoUCAwcObHYdX+d+DNfpSFqL0xv4huXkG5aT71hW\ngRWQZKuystL195o1a5hsERFRUNXU1ODtt9/GtGnT8Nprr+HBBx9scR1f534M1+lIWitcpzdoLZaT\nb1hOvmNZ+aatpiIRtclWWuDsfExERBQKpFIpcnNzUVtbi9zcXBQXF7e4zmuvvYa8vDx88sknmDZt\nWgCiJCKi9i4gNVunT5/GnDlz4HA4XH87Pffcc4EIgYiIyOXFF1/EqVOnMHbsWMybNw+PPvpoi+tw\n7kciImqtgCRb7snVbbfdFohdEhEReXT58mUkJSUhKSkJmzZtwkMPPYR+/foFOywiIuqAApJs3Xjj\njYHYDRERUbM+/PBDfPbZZ3j//fcxb948HD16FPHx8di4cSOmTJkS7PCIiKiDCejQ70RERMH02Wef\nYcWKFairq8Mnn3yCb7/9FkqlEqNGjQp2aERE1AEFZIAMIiKiUKBU1g93vHPnTnTr1s31b4vFEsyw\niIiog2LNFhERhY3Y2FjMnTsXW7ZswYQJE1BaWoolS5YgMzMz2KEREVEHxGSLiIjCxiuvvIKNGzdi\n6NCh6Nq1K44dOwaj0Yinnnoq2KEREVEHxGSLiIjChlgsxuDBg13/zsjIQEZGRvACIiKiDo19toiI\niIiIiPygXSRbeXl5uOeee4IdBhERERERkc9CPtkqKirC6tWrXSNGERERERERtQch32crKioKkydP\nxmOPPeZ1GbFYgF4ffsmYWCzicYcRHnd4CdfjJiIi6khCPtlycjgcXt+z2RwoKakKYDShQa9X8rjD\nCI87vITrcZtMmmCH0Ky8vDxMnDgRa9euDXYoRETUDoR8M0InQRCCHQIREYUxNmsnIqLWajc1W4sX\nL271Og6HA2VlpX6IJlRYUFoafk++2/txa7U6Pjwgaod8adZORETkrt0kW9eirKwU1r/OgkYWEexQ\n/EIkl0JRUxfsMAKuPR93uaUWZX+cBp1OH+xQiOgaNdesHQjffsStxX6JvmE5+Ybl5DuWVWB16GQL\nADSyCOjl8mCH4RdyuRQ1EAc7jIBr78ddHewAiOi6tFQzHa79iFsrXPslthbLyTcsJ9+xrHzTVn2I\n202fLSIiolBwLc3aiYgoPDHZIiIiIiIi8gMmW0RERERERH7AZIuIiIiIiMgPmGwRERERERH5AZMt\nIiIiIiIiP2CyRURERERE5AdMtoiIiIiIiPyAyRYREREREZEfSIIdQCh5ZNMPmJHTGylqDSqtdRj+\nn6/wt7790TsyCtVWKx7c8F+8f+ttUEgk+PDEcbx56AA2Dv01xIIAAPh/P25GeV0dZGIxBADVNite\n7dUXSWo1Jm3fik4aDf5f1+4AgAPFl7Hs+FH8tW9//GXvLgyOiUW2IRK3f/l/WD3kDqSo62etnvXz\nHtwSHY2B0bE4VlaKhYcOoNpqRY3Nhv7R0Xgqs5vX4/m/M6dxrKwUk7J6oMxiwbM7fsSg6Fg80CkN\nd3z1OTJ0OtjsdogFAX/s0RMZWh1sDgfu+OrfSNfqAIcDACAWRHjzpgGu4/RmzMb/4u/9B0AjlTV5\nr9Jahw0XLuBXCYkNXn9x906crazE9Cvl7s7mcGDm3t2YntMb93z7Ndbe/svmP0AAR0pLsPTYUbze\n50bXawXVVZi0/Ueka7R4pXefFrfhyfitm1Brs+HFnBswecePMEREAAB+GRePLjo9XtrzE/qbojGl\ne/Y1bZ+IOo7LFy6hvKwq2GGEPHtNNcvJBywn37CcfMey8o3JpGl5IR8w2XKjlkpRZbUCAN47fgwi\nCKi01gEAVp7MxfDEZCgkEpTXWfD52dO42RyN0xUVSNXUfxi55WVY/4u7XEnJB7nH8XX+WTzauQtO\nlpejvK4OtTYbIsRiHCgpRpbeCAA4WFyMp7p0w8GSYmQZjPjoxHFMy+5V/15JMZ7I7IL8qko8/9MO\n/LVvPyRfSUqm7tqO786fw5DYeI/Hc7CkGD2NkVeSja14OD0Tv4xPwKGSYmQZDHiz/wAAwNHSUry4\n+yd8OGgIcsvK0Fmrw6KbB7aq7OrsdtRYbR4TLQD44cJ55Fc1/GJXWa04XlaGDwYN8biOWBAwPac3\nzldVIVap9CmOw6Ul6G4wNHhtY8EFDE9MwgOd0n3ahif5VVVYd/svkVtWhq46fZOk7a74RMQrVde8\nfSLqOA79ZwtqLXXBDiPkRcikLCcfsJx8w3LyHcvKN+lZKW2yHSZbbjQSKaptNpRYavFN/lncnZiE\nijorqq1WrD9zGu/fehsA4J2jRzAqNR0ny8tworwMqRoN8quqEBkhdyVa1VYrtl4swMjkVBRWV0Mr\nlWJQdCzWn8nDyJROOFBSjGEJSai12VBptcIYIceBklMYnpiEz07nocxigUIiQVmdBcYIOV7duwtj\nO3dxJVoAMP/mAaipqf+yTN25HdNzekElkbreP1BSjBujTBi3dROez+6FG6JMrte76fWu5TrrdKiy\n1h/nwZJiZOquvufJW4cP4nRlBUotFljtdrzRfwBOlJchXasFACw8uB+7LhXB5nDgicyuiFepMP/A\nPpjkCvwmKRkmuQIA8NjmDSi21OKjE8ehk8nw4YnjkInE6KTR4IWevbHm1ElUWusQr1Shq16POrsd\nr+/bg7zKCogcwJ979kKKWoMvzp7BRyeOI0ouh1QkwqjUNFes2y8W4q3DhxCvVOImczSWHz+GUxXl\nsDkceK5HT3TTGzB+6yZ01upwprIST2R2wdf55/B01yzXNvKrKhF3JdnbVHgBeZUVeHTzBnTR6V01\nWQdLivHLuITWnG5E1EH1GHorykqrgx1GyNPqFCwnH7CcfMNy8h3LKrCYbLlRS6Wotlqx9NhR/L5T\nOqqsVpTXWRrUap2trMTPly9hUlYPfHr6FE5WlAMADpUUo6imBo9v3oDCmhoYZDL8JikFg2Pj8P35\nfHTVGzA8KQnjt27GyJROOFRSgj9274nDpSXorNO5tvFIRiYcicAneSdxo8mMDG39ezuLivBMt/om\niNN37URBdRWKLLV448abkaBSNWg2B9Q3wTtWVoq/Hz4IsSBqUON0qKQEA6NjGixfVmcBUJ807L58\nCYdKS+qbEQoC/l/XLPQwGF3LHrySKN6VkIj/3f8zNlw4j7I6C7rpDVh/Og8ldRYsHTgYZRYLHt28\nAatu+wUSVGrMu/Em6GRX4xiakIQIsQgjUzrhH4cPYMmAQZCJxbj3u69htdtxoOQy7k5MxuaCC8gy\nGPCv40cRq1DitX79sL+wCO8cPYxxmd3w0YnjePeWQbDYbbjjq8/xUs4Nrn3caDIjRqHAP28eiPdy\njyFWqcT0nN44WV6OOfv24q2bb8HR0lJM6Z6NTpr6ZLFzo2TzYEkJsvT1tWUGWQRm9OyNNK0Wk7dv\nxY6ii+gbZUJeRQWS1OrWnnJE1AFpjTrYRdKWFwxzWr2S5eQDlpNvWE6+Y1kFVsgnWwUFBZg9ezb0\nej3S0tLwhz/8wW/7Ukvrk6mthQWYMPh2rM07icu1tfhP/jn8a+BgAMDCQ/shFokweftWlNXVwXyl\nluZASTHGdemGXycl40hpCf66/2eMSE5xvddNr4deFoFMnQ6bCy/ADgfUUikOlhSj25Ub+aNlpeis\n0yNVo8Ujm37A/2fv3gObru/9jz9z6S1NS0rTpi0KSkUUUKpH5Mw5UXc4czomKjo2RsELoHhDYQgi\naLl1VTkO9WgVEdyOFxAszt/mmTonZ14QUFDxggywQO2FlLbphTZN8v39UYjUtpBi07T09firTT75\nfN/fd9N8887nk88nISo6eJ834MdqalrPZMGhKWyXvfk6fdqYXvcvTxUpsbH896FRpyWff8pTh6YG\nfl5ZweSBZwTbbqs4QP+EROKsVj6vrGDp8AuCIzmt+baujssOffcqxmLBbDLxRWUFvzi5H8/v/Bd3\nDGoaFYqPiqIxEMAXCFDT2Nis0ALYVnmAiaedjru+nv319Sz7+itiLRYaAwGsZjNfVTUVpE9v/5Jr\nT+3PM19/RazFykfvuGn0BzjJFs97ZSVcfnJfosxmDMOgX7ydOOt3T+uDPh8GEGe18n8lxTx74Yjg\n39ob8PNNTTVn9+4dLLRa82VlBWcl9cbr93NuspOT4pumC55iT6C60UvZwYPB54GInLg683okIiIn\nhi5fbK1atYrs7GyysrKYPHkyY8eOxWKxhOVYCdZo/rjza24/cwgWkwmb1cqfdu7g6n6nEme18smB\nchr8fp758UUAVDd6mfzeP4Gm0Z7LDxUgA3s56GOz8fq+vfz8pJP5orKCn/VpmmJ23Sn9yf10KwMT\nm0ZPPq+sYNTJ/XDX15MYFU2U2UyU2cy5yU5e3fMNtx6azjbMmcLrRXu5ut+pAPxfSTEZNhumNhat\nODytLTUujtS4OF7Y9S/WlxTz7ympVHobcMU1FVOV3gYe3vYpdw0+i8ZAgPKG+mMWWrW+RgKGQb3f\nz4f7y8g+bQDP7viK3w0ZSqMRoPbQ995W797JBakuvvZUBUfojrTT42FAYi+e2v4lF6S6GJlxEmu+\n2cVgR28OHuojzmqlrP4gaXE24q1R5J13Phm9Eli27Qt+7HLxkdtNzaFRuRd37+QMR/NRqS+rKoNT\nJhsDAWp9jcRYLPzxXzu4JD2DzysqOO/Q9Mq2fFFZydj+mdT4GpmxaQMvjrgUd0M9/ygpZsJpp/NR\nuZtBSUefeiki3V+o16OqhkY8Xl8EIuxeTMpTSJSn0ChPoVOuQnP0d4eh6/LFltvtJj09HYDExESq\nq6txfO8NdVSUpdUVQ6Ki/BAfQ3xsTEjHSrbHkRgdzZiBTQsp9I6Po87n44bBZxJrtfLY+59z/3nn\nER/f1F88MdT6fcTZoimsreHstJRg8fPbMwaS+/HHjBl4WrP7zotPI/oLC+e4UoiPj2G7p4qcDBeb\n9+/n7BRnsO+Jg87gir/+lfMyXMRHRzP3/GHM37yZt0q+xRcIkBwbywPDhhEfH8ODW7Yw+tRTOf2I\nvHxdW81F6enB/maf929Me+89UhJsHPT7uWVD0+p60RYLd2cN5UdpaXxaXh68D8AArCYTyy6+GKu5\naVRtZ3kpF6SlMWvLJuoaG5l57jkkJdjAZMLZK57fnZPFwo8+AiAjPp4Hhg3jG4+HHdVVbKupZLjL\nBcCBhgaSYmNIsMdySd+TyP34Y/65v5Q6n4+MeBvfeOsYkpzM/oCXUxITiY+P4e5zsrjn4014/X4u\nSEvjrLQUTkpK5Ob16/mk8gAAI086KXjOAF/v8XBemov4+BjuO+/fmPnRRgxgaHIyk84aTO7HH3N5\nv37Ex8dQ2dDAwo8+4uELLmj2vDjQ2MApyU25HXXqKYx/9x1iLBbuH3Ye6UkJfL1nF//mSm123LY0\nWgzinQk4HMe3wk1HrYzT3ei8pSsI5XoE4LTH4rTHdnZ43ZLyFBrlKTTKU+iUq85jMoxD63t3Ufn5\n+fzoRz9i6NChTJ48mfz8fMzm0LYHq6yshN//HkesnlAd5eGtWzk/NZWLMjIiHUqn2FtTw6KPPyb/\noovabHP922+T++//TloIKyZW1tfDrFmtvkETka7th1yPRESkZ+ryI1tjxowhNzcXu93OyJEjdWGL\nsG0HDnD9GWccu+EJYtuBA3xVUUHBrl1c1b9/s/sMw+DGd95hT01NSIWWiHRvuh6JiEh7dfmRrR9C\nI1vS1WhkS0RERKTn0MdyIiIiIiIiYaBiS0REREREJAy6/He2jqan73lSWVnJ//7v/zJ27NhIh9Ip\niouL2bZtG9HR0cTFxXH++ecf+0EngMLCQpYuXUrv3r0ZPHgwV111VaRD6lQzZszg0ksv5fLLL490\nKJ3i22+/ZerUqZx55pmkpqZy1113RTqkTlFUVMQTTzyB3W7H4XBwyy23RDqkduvp16QjbdmyhZde\negm73U7v3r2JjY2lqKiImpoaZs+ejdfrbZGr5cuXN2uTlJQU6dPoNIdf54qLi5WnNhz5GtGrVy9i\nYmKUq1aUlpby+OOPY7fbAXA6ncpTKwoLC5k2bRoFBQUtzj+UHLXWpi3dutjqzD24upq6ujq++OIL\noqJ6zg7gDQ0NXHzxxURFRfHqq69GOpxOU1NTw/Tp03G5XNxxxx09qthauXIl8Yc2ke4pNm3aREpK\n0+4e55xzToSj6TwrVqygb9++fPPNN/z0pz+NdDjHpSdfk77P4/Fw//33Y7PZuPHGG4mOjubJJ59k\n48aNrF69moaGhmCupkyZwujRo9m0aRP5+fl8+OGHrF69milTpkT6NDrFka9zmzdvVp7acORrxI9/\n/GNefPFF5aoVu3btYsOGDQwZMoSBAwfqOdUKt9vNmjVrsNlseL3e4PmHkqPW2hzr9b5bTyNsbc+T\nnsJms3HBBRf0qGLrlFNOISoqis2bNzNw4MBIh9NpBg8ejNVqZcqUKWRlZUU6nE7z9ttvk5CQ0KPO\nGeDss88mNzeXxYsXs2LFCvx+f6RD6hSFhYWMGDGCBQsW8Pjjj0c6nOPSk69J3zdixAhsNhv5+fmM\nGjWK5ORkAFwuF2VlZa3myul0ApCWlsb+/fsjFntnOvJ1LhAIKE9Hcfg1YuHChTzzzDPKVRvS0tJY\nsWIFjzzyCBs3bgyOUilP33E6nUyfPh2bzUZVVVXw/EPJ0dHatKVbF1sZGRmUlJQATZ+iJSYmRjgi\nCSev18vf//530tLSOKMHLT//1VdfERMTw/Lly9m2bVuPeQP32muv8dlnn1FQUMDatWupqqqKdEid\n4ssvv8Tr9WIymYiPjycQCEQ6pE6RkpJCfHw8Vqs1OP2lu9E16Tu1tbXMmTOHrKwsRo0a1bQ6MFBS\nUoLL5SIjI4Pi4mIAqqqqSE1NbdYmNTU1YrF3piNf51avXk15eTmgPLXm8GuExWIhNjZWz6k2PP/8\n88H3CXa7nW+//RZQntqSnJzc7ufS99sc6/W+Wy/97na7g3ueDBkyhGuvvbbZ/T1h6fc///nP/PKX\nv4x0GJ3i73//O1VVVSQkJGAymfiP//iPSIfUbsez9Punn37KM888g8vlIjo6mt/97ndhjLDrWbdu\nHdHR0T3mO1uff/45y5YtIzk5mdNPP51f/epXkQ6pU+zcuZPHHnuMhIQEhg8fzi9+8YtIh9Rux7om\n9ST33nsve/bsISMjA4vFwqBBg9i1axcej4ecnBzq6+tb5OpPf/pTszbdteg+Hodf58rLy5WnNnz/\nNaKiokK5asUXX3zBo48+Sp8+fejTpw9RUVHKUxsmTZrEsmXLWpx/KDlqrU1bunWxdSyVlZV4cnJI\njImJdCgiAHgaGki8/37tsyUiIiLSA5zQxZZhGD1m6pF0H7169cJkMkU6DBEREREJsxO62BIRERER\nEYmUbr1AhoiIiIiISFelYktERERERCQMVGyJiIiIiIiEgYotERERERGRMFCxJSIiIiIiEgYqtkRE\nRERERMJAxZaIiIiIiEgYqNgSEREREREJAxVbIiIiIiIiYaBiS0REREREJAxUbImIiIiIiISBii2R\nLsDr9VJQUBDpMEREpIfT9UikY6nYEukCysrKeOWVVyIdhoiI9HC6Hol0LGukAxA50dXV1TFr1izK\nysoAmDt3Lg8//DB+v5/6+noeeeQRli1bxvbt21m5ciX/+Z//ydy5c2lsbCQxMZHf//73WCwWpk+f\nTnV1Naeccgr79u1jxYoVrF27lhdffBGLxcLIkSO56aabmD17NhUVFRw8eBCHw8H48eM577zzWL9+\nPRs3buR3v/tdhDMiIiKRoOuRSOdTsSUSZi+99BJnnHEGjz76KFu3buVf//oXOTk59O3blyeeeIL1\n69czefJkdu/ezcSJE5k2bRq33HIL5513HuvWrePpp5+md+/eDB48mFtvvZUNGzbwxBNPUFFRwYoV\nKygoKMBisTBhwgQuvPBCAC6++GLGjh3Lu+++y5///GfOO+88CgoKuP322yOcDRERiRRdj0Q6n4ot\nkTArLCzkP//zPwHIysrC6/WyZMkSbDYbJSUlXHLJJc3a79ixg6VLl2IymfD5fPTr1w+Px8PIkSMB\nOPfccwHYt28fAwcOJCoqCoChQ4eya9cuAE499VQAfvzjH/Pggw/idrspLy8nMzOzU85ZRES6Hl2P\nRDqfvrMlEmb9+/dn27ZtAGzYsIHc3FzmzJlDbm4uTqcTwzAwm80YhhFsP2fOHP74xz9yzz33MGLE\nCE477TS2bt0KwJYtWwA46aST2LFjB42NjQQCAT755BP69esHgNnc9K9tMpm45JJLWLhwIZdffnln\nn7qIiHQhuh6JdD6NbImE2a9+9StmzZrF+PHjMZvNjBo1igkTJpCUlERSUhL79+8nOTmZ2tpannrq\nKWbOnMkDDzxAfX09AIsWLSItLY2ZM2eSnZ2Ny+XCarWSlJTExIkTGTduHIZhcMkllzB48OAWx7/6\n6qu58sorWbBgQWefuoiIdCG6Hol0PpNx+OMLEemytmzZQmNjI+effz4bN26koKCA3NzckB67c+dO\nnnjiCZYsWRLmKEVE5ESn65FI+2hkS6Qb6NOnD3fddReGYWC1WkP+VPAvf/kLzzzzDA8//HCYIxQR\nkZ5A1yOR9gnryFZhYSHTpk2joKCA5cuXU1RURE1NDbNnz8br9ZKXl4fD4SAzM2cEuy0AACAASURB\nVJNx48aF1EZERKSjlJaWtnqd+eCDD1i3bh0Av/71rznrrLNYuHAhsbGxeDwe5s+fj8ViiWToIiLS\nDYRtZMvtdrNmzRpsNhter5dNmzaRn5/Pxo0bWb16NQ0NDWRnZ5OVlcWUKVMYPXr0UdtMnjyZsWPH\n6uImIiIdZtWqVa1eZ1asWMGTTz6Jz+dj2rRpjB49mkAgQENDA4MGDdK1SEREQhK21QidTifTp0/H\nZrNRVVWF0+kEwOVyUVZWhtvtJj09HYDExESqq6tDaiMiItJR2rrOGIaBxWIhJiYGr9fL3r176d+/\nP/PmzeOzzz5j7969kQxbRES6iU75zlZycjKVlZUAlJSU4HK5CAQCFBcX43K5qKqqIjU19ahtPB4P\niYmJrfZ//e13cObQoZ1xKiIiEiaffriR/1n2VKceMyMjI3jNOfI6Exsbi8/nw+fzERsbi9PpxO/3\nA5CUlHTUPn0+P1p66tgsFhN+vxJ1LMpTaJSn0ClXoYmK6pgZDJ1SbJnNZoYPH05OTg4ej4ecnBzq\n6+vJzc2loKCAkSNHhtxGRESko4wZM4bc3FzsdjsjR45k8eLFzJo1i+zsbObMmYPP52Pq1Kmcdtpp\nzJkzhy+//JK4uDhOPvnkNvs0DKisrOvEs+ieHA6b8hQC5Sk0ylPolKvQpKQkdEg/J8TS7xrZEhHp\n/iIxshUOjY1+vZEJgd7whUZ5Co3yFDrlKjQdVWxpqEhERERERCQMVGyJiIiIiIiEgYotERERERGR\nMFCxJSIiIiIiEgYqtkRERERERMJAxZaIiIiIiEgYqNgSEREREREJAxVbIiIiIiIiYaBiS0RERERE\nJAxUbImIiIiIiISBii0REREREZEwULElIiIiIiISBtZIByAiIhIppaWl5OXl4XA4yMzMZNy4cQB8\n8MEHrFu3DoCxY8dyzjnnAPDyyy/z+eef88ADD0QqZBER6UY0siUiIj3WqlWryM7OZt68eaxfvx6/\n3w/AihUrWLx4MfPnz+fpp58GYPPmzezevTuS4YqISDejkS0REemx3G436enpACQmJlJdXY3D4cAw\nDCwWCxaLhcbGRoqKinjzzTfJzs4OFl9tsVhMOBy2zgi/W7NYzMpTCJSn0ChPoVOuOlenFVulpaU8\n/vjj2O12AJxOJ0VFRdTU1DB79my8Xm+LqRzLly9v1iYpKamzwhURkR4gIyODkpISXC4XHo+HxMRE\nAGJjY/H5fPh8PmJiYvh//+//4fF4eOSRR9i+fTuffPIJQ4cObbVPv9+gsrKuM0+jW3I4bMpTCJSn\n0ChPoVOuQpOSktAh/XRasbVr1y42bNjAkCFDGDhwIJs3b+bJJ59k48aNrF69moaGBrKzs8nKymLK\nlCmMHj2aTZs2kZ+fz4cffsjq1auZMmVKZ4UrIiI9wJgxY8jNzcVutzNy5EgWL17MrFmzyM7OZs6c\nOfh8PqZOncrgwYMBKCoqYtmyZW0WWiIiIkfqtGIrLS2NFStWcNJJJ3HDDTeQlpYGgMvloqysjMbG\nxhZTOZxOZ/Cx+/fv76xQRUSkh3A6nSxZsqTF7cOGDWPYsGEtbu/Tp48WxxARkZB12gIZzz//PNXV\n1QDY7Xa+/fZbgOD0jYyMDIqLiwGoqqoiNTWVysrKYJvU1NTOClVEREREROQH67SRrauvvpqlS5fS\np08fsrKyiIqKIicnB4/HQ05ODvX19eTm5lJQUMDIkSMxm80MHz68WRsREREREZHuotOKrUGDBpGf\nn9/m/Xa7vcVUjvHjx4c7LBERERERkbDQPlsiIiIiIiJhoGJLREREREQkDFRsiYiIiIiIhEGnfWdL\nRESko/j9fv76179SVlZGVlYW/fv318b3IiLS5WhkS0REup1Zs2ZRXl7Om2++idfrZfr06ZEOSURE\npAUVWyIi0u2UlpYyceJEoqOj+dGPfoTX6410SCIiIi2o2BIRkW4nKSmJl19+mbq6Ol5//XVNIRQR\nkS5JxZaIiHQ7eXl51NXVMWTIEEpKSsjLy4t0SCIiIi1ogQwREel21q5di9VqZcCAAQAUFBQwbty4\ndvdTWlpKXl4eDoeDzMzMYB8ffPAB69atA+DXv/41/fr1Y9GiRaSkpFBRUcHChQuxWnUJFRGRowtp\nZKu+vj7ccYiIiITMZrNhs9mIi4tj3759bN269bj6WbVqFdnZ2cybN4/169fj9/sBWLFiBYsXL2b+\n/Pk89dRTHDhwgMmTJ3PPPfdgt9vZt29fR56OiIicoEL6WO62226jV69e/PznP+eiiy4iOjo63HGJ\niIi06aqrrmr2e3Z29nH143a7SU9PByAxMZHq6mocDgeGYWCxWLBYLHi9XjIzMwFYv349ZrOZU045\n5QfFLyIiPUNIxdYzzzxDWVkZb7zxBtOmTcNut3PFFVcwYsSIcMcnIiLSQl5eHiaTCYDy8vLjntKX\nkZFBSUkJLpcLj8dDYmIiALGxsfh8Pnw+H7GxsQD893//N4mJidx7771H7dNiMeFw2I4rnp7EYjEr\nTyFQnkKjPIVOuepcJsMwjGM1qq+v5x//+AdvvPEGHo+Hiy66CMMw2LBhA/n5+Z0R51Fdf/sdnDl0\naKTDEBGRH+DTDzfyP8ueCqntxo0bg8VWTEwMgwcPxmKxtPuYbreb3Nxc7HY7Q4YMYfv27cyaNYst\nW7awZs0afD4fN9xwAzt27CA/P5+zzz4bgFtvvZV+/fq12mdjo5/Kyrp2x9LTOBw25SkEylNolKfQ\nKVehSUlJ6JB+QvoocOLEifz0pz9lxowZ9OnTJ3h7XZ3+UCIi0nnuuOMOTCYT3/+c0GQysXTp0nb3\n53Q6WbJkSYvbhw0bxrBhw4K/Dx48mNGjR7c/YBER6dFCKrZmzpzJ119/TZ8+fZg3bx7XXnstZ511\nFlOnTg13fCIiIkH33HNP8OfDI1tAi+JLRESkKwip2Fq4cCHLli0D4M477+T222/nhRdeaNeBioqK\neOKJJ7Db7fTq1YuYmBiKioqoqalh9uzZeL3eFsvvLl++vFkbbVopItKzHZ5dsWrVKl555RV8Ph9+\nvx+r1cqaNWsiHJ2IiEhzIS39bjabcTgcACQlJREIBNp9oBUrVtC3b188Hg9Dhgxh8+bNzJs3jzFj\nxrB69epmy+/+3//9H7W1tWzatIl58+ZxzTXXsHr16nYfU0RETkyrVq3i2Wef5eyzzyYvL4/evXtH\nOiQREZEWQhrZ+u1vf8uYMWNIS0ujrKyM66+/vt0HKiwsZMyYMdx0001cf/319O3bFwCXy0VZWRmN\njY0tlt91Op0ApKWlsX///nYfU0RETkyJiYnEx8fj8XgYOHAglZWVkQ5JRESkhZCKrdGjRzN69GgO\nHDiAw+HAbA5pQKyZlJQU4uPjsVgsxMbGBi+Mh5fcDQQCFBcX43K5qKqqIjU1tVmb1NTUdh9TRERO\nTFdccQUrV67krLPO4uqrr9Y1QkREuqSQ99kqKCggLi4ueFt758bfeOONLFmyhISEBH75y19SUVFB\nTk4OHo+HnJwc6uvryc3NpaCggJEjR2I2mxk+fHizNiIiIgCZmZmce+65AFx99dUkJHTMEr0iIiId\nKaRi6/XXX2fdunVERUUd94EyMzP5wx/+0Ob9dru9xfK748ePP+7jiYjIieuNN95gyZIlDB06lCuu\nuILBgwdHOiQREZEWQiq2srKy2L59O/379w8utXvkKJeIiEhnmjVrFgCffPIJjz32GLt37+Zvf/tb\nhKMSERFpLqRi65tvviEvLy+4kaTJZOKPf/xjuGMTERFp1bZt23jjjTfYunUrgwcP5rbbbot0SCIi\nIi2EVGwtX76cb7/9lm+//ZZ+/foFVwkUERGJhJdffplf/OIX3HXXXc02NxYREelKQi62tm7dyr59\n+/j1r3/Ntm3bmD9/frhjExERaZUWTRIRke4gpDXc3377bR577DHsdjvXXXcd27dvD3dcIiIiIiIi\n3VpII1tWq5XCwkJMJhP79+8nNjY23HGJiIgc1ccff0xxcTFnnHEGJ598MtHR0e3uo7S0lLy8PBwO\nB5mZmYwbNw6ADz74gHXr1gHw61//mqFDhzJ37lzsdjter5d58+Z16LmIiMiJKaRiKycnh4ceeoiK\nigoeeOAB7rvvvnDHJSIi0qbFixdjGAZbtmzhpptuYunSpTz66KPt7mfVqlVkZ2eTlZXF5MmTGTt2\nLBaLhRUrVvDkk0/i8/mYNm0aEyZMoG/fvkyePJnHHnuMrVu3kpWV1WqfuQ89/ENPT0REImzevfd0\nSD8hFVs+n48777wTQF9EFhGRiPvyyy/505/+RHZ2NpdddhnPPffccfXjdrtJT08HIDExkerqahwO\nB4ZhYLFYsFgseL1eysvLSUtLAyAtLY2ysrI2+4xN1SJSIiLSJOQFMgAMw2Dnzp0kJSXx9NNPhzUw\nERGRtsTFxfH+++/j9/v59NNPsdvtx9VPRkYGJSUluFwuPB4PiYmJAMTGxuLz+fD5fMTGxpKens7m\nzZsBKCkpYcCAAW322VhRcVyxiIjIicdkGIbRngcYhsHkyZNZtmxZuGJqt+tvv4Mzhw6NdBgiIvID\nfPrhRv5n2VMhtS0vL+epp55i9+7d9OvXj8mTJ5OamtruY7rdbnJzc7Hb7QwZMoTt27cza9YstmzZ\nwpo1a/D5fNxwww0MHjyYefPmBb+zfO+997bZZ2Ojn8rKunbH0tM4HDblKQTKU2iUp9ApV6FJSUno\nkH5CGtlav3598Ge3283+/fs75OAiIiLtceT16IILLuCCCy4AmqYVHk+x5XQ6WbJkSYvbhw0bxrBh\nw5rdpi1PRESkvUIqtj777LPgzzExMSxdujRsAYmIiLTlyOvR940YMaITIxERETm2kIqtpKSkZr+/\n++67vPvuuwDBZXJFRETC7bbbbgPgwIEDrF69ml27dtG3b1+ys7MjHJmIiEhLIW1qvGnTJvbt24fT\n6aS8vJy//e1v2Gw2bDZbuOMTERFp4Y477uDkk0/mlltu4dRTT+Wuu+6KdEgiIiIthDSyVVFRwR/+\n8AcAfvaznzFhwgSuuuqqsAYmIiLSFpPJxBVXXAHAqaeeyssvvxzhiERERFoKqdiy2WwsXbqUQYMG\n8dlnnwX3JDkeM2bM4NJLL6W4uJiioiJqamqYPXs2Xq+XvLw8HA4HmZmZjBs3juXLlzdr8/3pjCIi\n0jPFxsYyZcoUzj77bLZv3051dTUPPvggADNnzoxwdCIiIk1CKraWLl3KO++8w549e8jKyuKSSy45\nroOtXLmS+Ph4ADZv3syTTz7Jxo0bWb16NQ0NDWRnZ5OVlcWUKVMYPXo0mzZtIj8/nw8//JDVq1cz\nZcqU4zquiIicWCZNmhT8+furBoqIiHQVIRVbu3fvZu3atVRVVXHZZZfxj3/8g0svvbRdB3r77bdJ\nSEggKyuLQCBAcnIyAC6Xi7KyMhobG4MjZomJiVRXV+N0OgFIS0vTcvMiIhIUFRXFG2+8QWNjY/C2\n++67L4IRiYiItBRSsbVgwQL+8Ic/cPfdd3Pttdcyfvz4dhdbr732Gr169WLXrl0AwRGukpISXC4X\ngUCA4uJiXC4XVVVVpKamUllZGWxzPPuniIjIiem+++5j7ty52O32SIciIiLSppCKLb/fHxxlio+P\nJy4urt0HeuSRRwBYt24d0dHRlJeXk5OTg8fjIScnh/r6enJzcykoKGDkyJGYzWaGDx/erI2IiAjA\noEGDOPvss7UqroiIdGkhFVujR49mwoQJFBYWcsstt3DZZZcd9wFHjx7d6u12u50lS5Y0u238+PHH\nfRwRETlx9evXj0svvZSTTjoJwzAwmUysWbMm0mGJiIg0E1KxlZ6eziOPPMK+ffvIyMgIjnKJiIhE\nwvvvv897772HxWKJdCgiIiJtCqnYWrZsGc899xy9e/cOdzwiIiLHdPrpp/Pmm2+SmZmJyWQC4LTT\nTmtXH6+++iqbN2+mvr6e2267jX79+gXve+ihh/B6vdTU1DB//nzWr1/PP/7xDywWC2eddRbXXntt\nh56PiIicmEIqtvbv38+Pf/xj0tPTMZlMmq4hIiIR1dDQwPr161m/fn3wttzc3Hb1sW7dOlasWMG+\nfft4+umnmT9/PgB79+6lpqaGnJwcCgoK+Nvf/obZbGbRokUEAgFuvvlmFVsiIhKSoxZbN998M/n5\n+fzv//4vr776KldeeWVnxSUiItKmhQsXsnPnTgKBAEBI24OsXr2a1157DZPJhGEYwcWe0tLSKCsr\nC7Zzu92kpaUBTduTbN++neuvvx6fz0deXh7XX399GM5IREROREcttmpra4M/r127VsWWiIh0Cbfc\ncgt2u53du3djtVqJi4vjJz/5yVEfc91113HdddcFf7/55psBKC4ubra9SHp6OqWlpcB3W4/s37+f\nBx98kBtvvJEzzjjjqMexWEw4HFol8VgsFrPyFALlKTTKU+iUq8511GLr8Dx4ERGRrqS+vp6nn36a\n2bNns2jRIn7729+2u48rr7yS++67j9raWmbOnElpaSlr165l6tSp9OrVi0WLFlFbW8uCBQu44YYb\niI6O5tlnn8XpdDJz5sw2+/X7DSor637I6fUIDodNeQqB8hQa5Sl0ylVoUlISOqSfoxZbe/bs4cEH\nH8QwjODPhx3tQiMiIhJOUVFR7Ny5k4aGBnbu3ElFRUW7+/j5z3/Oz3/+82a3TZ06FYC77rqr2e3P\nPffc8QcrIiI91lGLrSOLq0suuSTswYiIiITi/vvv55tvvuHGG2/kkUce4aabbop0SCIiIi0ctdg6\n//zzOysOERGRkBw4cIC+ffvSt29f3n33XSZMmMDw4cMjHZaIiEgL5kgHICIiEqoXXniBqVOn4vP5\neOihh3juued4/fXXefjhhyMdmoiISAsh7bMlIiLSFfz5z3/mpZdeorGxkVdeeYW///3v2Gw2xo4d\nG+nQREREWtDIloiIdBs2W9NyxZs3b2bQoEHB371ebyTDEhERaZVGtkREpNtIT09nyZIlvP/++9xx\nxx1UVVXx7LPPMnDgwEiHJiIi0oKKLRER6Tbmz5/PP//5Ty6//HLOPPNMduzYQe/evbn11lsjHZqI\niEgLKrZERKTbsFgsXHzxxcHfBwwYwIABAyIXkIiIyFHoO1siIiIiIiJh0GkjW1u2bOGll17CbrfT\nu3dvYmNjKSoqoqamhtmzZ+P1esnLy8PhcJCZmcm4ceNYvnx5szZJSUmdFa6IiIiIiMgP0mnFlsfj\n4f7778dms3HjjTcSHR3Nk08+ycaNG1m9ejUNDQ1kZ2eTlZXFlClTGD16NJs2bSI/P58PP/yQ1atX\nM2XKlM4KV0RERERE5AfptGmEI0aMwGazkZ+fz6hRo0hOTgbA5XJRVlaG2+0mPT0dgMTERKqrq3E6\nnQCkpaWxf//+zgpVRERERETkB+u0Yqu2tpY5c+aQlZXFqFGjqKysBKCkpASXy0VGRgbFxcUAVFVV\nkZqa2qxNampqZ4UqIiI9wKuvvsrcuXP53e9+R2FhYbP7HnroIRYtWsTs2bNpbGwEwOfzMX78eD79\n9NNIhCsiIt1Qp00jXLRoEXv27OGVV17h1VdfZfjw4eTk5ODxeMjJyaG+vp7c3FwKCgoYOXIkZrO5\nRRsREZGOsm7dOlasWMG+fft4+umnmT9/PgB79+6lpqaGnJwcXnnlFd544w2uuOIKHn30UTIyMiIc\ntYiIdCedVmwtXrz4qPfb7XaWLFnS7Lbx48eHMyQREelBVq9ezWuvvYbJZMIwDOLi4oCmqeplZWXB\ndm63m7S0tOB9X331FS+++CLnn38+W7duxTCMiMQvIiLdj/bZEhGRHuG6667juuuuC/5+8803A1Bc\nXNxsqnp6ejqlpaXAd1Pd165dS9++ffnss8/4+uuvefTRR9s8jsViwuGwheksThwWi1l5CoHyFBrl\nKXTKVedSsSUiIj3SlVdeyX333UdtbS0zZ86ktLSUtWvXMnXqVHr16sWiRYuora1lwYIFXHHFFQA8\n/vjjXHTRRUft1+83qKys64xT6NYcDpvyFALlKTTKU+iUq9CkpCR0SD8m4wSYD3H97Xdw5tChkQ5D\nRER+gE8/3Mj/LHsq0mH8YI2Nfr2RCYHe8IVGeQqN8hQ65So0HVVsddpqhCIiIiIiIj2Jii0RERER\nEZEwULElIiIiIiISBiq2REREREREwkDFloiIiIiISBio2BIREREREQkDFVsiIiIiIiJhoGJLRERE\nREQkDFRsiYiIiIiIhIGKLRERERERkTBQsSUiIiIiIhIGKrZERERERETCwBrpAI6ltLSUvLw8HA4H\nmZmZjBs3LtIhiYjICeDVV19l8+bN1NfXc9ttt9GvX7/gfQ899BBer5eamhrmz5/Pjh07ePHFF4mO\njmbgwIFcd911EYxcRES6iy4/srVq1Sqys7OZN28e69evx+/3RzokERE5Aaxbt44FCxZw5513snz5\n8uDte/fupaamhjlz5nD++efzt7/9jeeee46MjAxqa2vJysqKYNQiItKddPmRLbfbTXp6OgCJiYlU\nV1fjcDiatVnx2KORCE1ERDrSTTeGtfvVq1fz2muvYTKZMAyDuLg4ANLS0igrKwu2c7vdpKWlAeBy\nufjqq6/Yvn0799xzD1FRUcyYMYOnnnqqzeNERVlISUkI67mcKJSn0ChPoVGeQqdcdZ4uX2xlZGRQ\nUlKCy+XC4/GQmJgY6ZBERKQbuu6665pN/7v55psBKC4uJjU1NXh7eno6paWlAJSUlJCamkpKSgrx\n8fFYrVZiYmI6N3AREem2TIZhGJEO4mjcbje5ubnY7XaGDBnCtddeG+mQRETkBPD666/z3nvvUVtb\ny8yZMzGbzaxdu5apU6fyyCOPUFdXR21tLQsWLGDLli288MILREVFcfXVVzN8+PBIhy8iIt1Aly+2\nREREREREuqMuv0CGiIiIiIhId6RiS0REREREJAy6/AIZ3cnR9mwB+Oc//8nzzz9Pfn5+hCLsGtrK\nk9fr5f7778fhcFBaWsoDDzzQYxdEaWt/uQ8++IB169YBMHbsWM4555xIhhlxbeXpxRdf5Ouvv+bg\nwYP87Gc/45JLLolwpJF1tP0Kq6urGTt2LH/84x9JTk6OYJTdn/aF/M6WLVt46aWXsNvt9O7dm9jY\nWIqKiqipqWH27Nl4vd4WuVq+fHmzNklJSZE+jU4zY8YMLr30UoqLi5WnNhQVFfHEE09gt9vp1asX\nMTExylUrSktLefzxx7Hb7QA4nU7lqRWFhYVMmzaNgoKCFucfSo5aa9MmQzrMxIkTDcMwjL179xpz\n585tdt/OnTuNpUuXGjfddFMkQutS2spTSUmJsXnzZsMwDOPZZ5813n333YjE1xUsXbrU2LJli2EY\nhjFp0iTD5/M1+7m+vt64+eabIxlil9BWnv7yl78YhmEYFRUVxt133x2x+LqKtvIUCASMnJwc4+ab\nbzbcbnckQzwhtJXnnuidd94xamtrDcMwjBtuuCH4evXhhx8a+fn5zXI1efJko6amxpgyZYphGIax\nYcMGIz8/PzKBR8CKFSuMefPmGX/5y1+Up6NYsGCBkZ+fb8yaNctYv369ctWG999/3/iP//gPY9q0\nacaTTz6pPLVi//79xsMPP2z85je/MRoaGoLnH0qOWmtzrNd7jWz9AKHu2eLxeFi5ciX3338/U6ZM\niVS4ERNqnlwuFy6Xi88++4zt27czYcKESIUccW3tL2cYBhaLBYvFQmNjY4SjjLy28nT55ZdTV1dH\nXl5ecHnvnqytPD3++OP86le/YuXKlZEN8AQRyr6QPcWIESMAyM/PZ9SoUWzevBloep0vKyujsbGx\nRa6cTifQdG3Yv39/ZALvZG+//TYJCQlkZWURCASCo8vKU0uFhYWMGTOGm266ieuvv56+ffsCytX3\npaWlsWLFCk466SRuuOGGZnsGKk9NnE4n06dPZ9KkSVRVVQXPP5QcHa1NW6/3KrZ+gFD3bHnrrbeo\nq6tj/vz57Nq1i/Xr1wcvRD1BqHkCeOmllygtLWXx4sWYzT33K4Vt7S8XGxuLz+fD5/Nprx/aztPO\nnTvJz89n2rRp9OnTJ8JRRl5reTpw4ACffPIJ5eXlbNmyhWeeeYZ77rkn0qF2a9oX8ju1tbUsXryY\nUaNGMWzYMN566y2AYH4CgQDFxcW4XC6qqqpITU2lsrIy2Ob714YT1WuvvUavXr3YtWsXAPHx8YDy\n1JrDe91ZLBZiY2Ob5UG5+s7zzz/PNddcA4Ddbufbb78FlKe2JCcnt/u59P02x3q919LvHehoe7Yc\nNmnSJJYtWxbBKCOvrTwNGzaMGTNmBPev+c1vfkNWVlaEo42M7+8vt337dmbNmsWWLVtYs2YNPp+P\nG264gcGDB0c61IhqLU8zZ87kF7/4BWeccQaxsbEMGDCASZMmRTrUiGrr+WS1Nn3eNnv2bGbMmKHv\nbP1A2hfyO/feey979uwhIyMDi8XCoEGD2LVrFx6Ph5ycHOrr61vk6k9/+lOzNoe/c9ITrFu3jujo\naMrLy5WnNuzcuZPHHnuMhIQEhg8fTkVFhXLVii+++IJHH32UPn360KdPH6KiopSnNhx+T/798w8l\nR621aYuKLRERERERkTDoufO0REREREREwkjFloiIiIiISBio2BIREREREQkDFVsiIiIiIiJhoGJL\nREREREQkDFRsiYiIiIiIhIGKLRERERERkTBQsSUiIiIiIhIGKrZERERERETCQMWWiIiIiIhIGKjY\nEhERERERCQMVWyIiIiIiImGgYktERERERCQMVGyJiIiIiIiEgYotERERERGRMLBGOgARObqCggLe\nfvttPB4P1dXV3HvvvZx33nmRDktERHoYXY9E2k/Flkg34Pf7ee6559i7dy+33XYbr776aqRDEhGR\nHkjXI5H20TRCkW5g2LBhAJx88slUV1dHOBoREempdD0SaR8VWyLdwLZtbet2NgAAIABJREFU2wAo\nLCwkOTk5wtGIiEhPpeuRSPtoGqFIN1BUVMSECRNoaGjggQceiHQ4IiLSQ+l6JNI+KrZEuoELL7yQ\n2267LdJhiIhID6frkUj7aBqhiIiIiIhIGJgMwzAiGUBhYSHTpk2joKCAlStXUlZWRmlpKVOmTKFX\nr17k5eXhcDjIzMxk3LhxkQxVRER6iCOvTYd98MEHrFu3DoCxY8dyzjnnRCo8ERHpJiI6suV2u1mz\nZg02mw2AN998k5KSEoqLi0lOTmbVqlVkZ2czb9481q9fj9/vj2S4IiLSA3z/2nTYihUrWLx4MfPn\nz+fpp5+OUHQiItKdRLTYcjqdTJ8+PXhBu+WWW/iv//ovbr31Vl566SXcbjfp6ekAJCYmaolREREJ\nu+9fm45ksViIiYmhsbExApGJiEh30yUWyDAMg8rKSl544QUuvPBCnE4ntbW1ZGRkUFxcjMvlwuPx\nkJiY2Orj37vyGqKTk8l66slOjrz7sVhM+P0RnTnaLShPoVGeQqM8hS4qyhLpEIK+P8s+JiYGn8+H\nz+cjJiamzcf9Y/MeIjtBv3swm00EAkrUsShPoVGeQqdchebSYX07pJ8uUWyZTCYcDgcZGRnMmzeP\n+vp67r77bqxWK7m5uRQUFDBy5EjM5rYH4rzl5VRW1nVi1N2Tw2FTnkKgPIVGeQqN8hS6lJSESIcQ\nZDKZAFi4cCGzZs0iOzubOXPm4PP5mDp1apuPMwyorWsI/h5jtdDga30afK/4GE5JS6DIXUsgYHCg\nur7dcf7b6al89HUZALHRVuq9vnb3cTSpDht19Y3U1Lc+mpfqsGEyQWlFXTCegGHwr31VVB/0Bts5\ne8XhrjoY/D3eFtMsT993+kkOvt5XCYDVbOaUtARiY6yUHqhjf9VBEm3ReOq8zR5zZr/efFl4gBir\nhUZ/gIBhcJLTzj53TbN29tgo0nrbqKz10scZz65iD9Xf6wsgOTEWT20j/kAAe1xUi+OdmpaIyQS7\nij2tnkNCXDRRVjNRVjOlFXUkJ8ZS7mn7b9zHaafoUKzOXnFEW81UHfQF82SLsVLXEPrfd0AfBzuK\nKomyWGgMw1cxYqOtuJLiKCw99swje2xUm8+hI/+W6b3jKT5QC4DZZCLwvU8uetmiqTrUduDJSWzf\nWwE0PZ+sGMH7TJgw+OEFRe+E2KP+XybZY6ioaft5fHb/ZD7dVd7u49rjooiNtjb7n2l2/1HyeSzx\nthj6psRTVdPAt+VNuXYl2aiq9Yb0+nFW/2T+ta+Kg0e0PTU9kZqDjeyvbIr35NQE9pY1PS+OlcOE\nuOjga8U5A1LYsmM/0LGvZxazmcGn9MZT5+Wbktb/X8Ml4gtkdIT3rrwGgNOfWRnZQLoBvekLjfIU\nGuUpNMpT6LpSsXW8PtxWTH+XvcXtjT4/ZrMJEyYOVNfjsMdgtbT+IaK76iD/KqrClWTDYY/BYjZh\nj4vi2/JaXEk2KmoaSE6Mwe83iI6ycLDBx65iD4NP6U1FdQN+f4CkxBgqqhuoPegjLsZCL3sMDV4/\ncTEWoqxNI4ieOi8JcVFAU3FZWlHH7mIP/VwJOOwx1NY34uwVd8Q5BDCZwGoxs+GLEvo47Zycascw\nDIrctWQkx2M2m5qdi88fCN72r31V9HXZiY22YouPoaSsmvg4KxZzU38Ws5lzBjjbzMthAcPAbPru\nOBu+KAHg3welNWvj8wWIjrIE7z/ntBRiotsePa2rb+Rgg58D1fWclGInLqblZ9Kf7z5Agi2Kvq7m\nz1XDMCivqscXMEh1xNHoDxBzaKTWMAz8AQOrxYxhGNTWN72B3La7nMyMXpiAxPimwsxkap4/h8NG\nRUUtPn+AKKuFA556vt5XybkDUti2+wCDTknCajHjqfUSE20hPjaqzfPzBwL4/Qb7q+rJSLZhOlTM\n1B5sJNpqCeamodFPlNVM7cFGYqMtWMzmptEQw8AE+PwGDY1+4mOtmEwmKmsaiI+NwmxuKnIwQSBg\nsHWHm+ResdQ3+OiXlogt1sq+/TUU7a/l3wamUFvvo1d8NAD1Xh+BANhiv8u5YRhU1nhJsEVReqCO\nPin2ZveZTCYONvjw+gKkpyZQV9tU9Pj8gaac1HkxAXEx1uBzsMHr55OdbgDOHZDCx4fe2J9/hguv\nz8/Wf7np50ogPTm+We5qDjYSZTWzZcd+etmiOSU9Mfj8qPf6aGgMEB9rxdsYIMpqxh9oeu6ZTSaK\ny2spLK3mJKed6jov8XFR9EmJx2I24648SGyMFbOpacTpcIEZG/1dHtxVB2nw+nH1ttHQ6KfB66d3\nYmzwb2o5NBhR7/VhMpnYsmM/URYL5wxwUtfgwzAMYqIsREdZ2LarHMNs5qxTklp9jmzbVU5Do59G\nfwCA4We6MJlMTbf5Angbvzt2wDDAoMX/fDDuyoMkxkcTfcSMhb1lNRS5azhvYCreRj/RURaslqYP\nI3onxARfm478O3+0fT++QID03k2vL4c/kDj/TBcmwFPXSH2Dj90lHuyxUSTGR+PsFYunrpFURxwB\nwwi+pgQCBruKPaQn2zCbTNTWN5J86HwONvho9AVo8AVI6RVLamrrM+raS8VWD6M3faFRnkKjPIVG\neQrdiVBs/WPzHob0a/2NTHdw+I1qKO0sZlOL4iBU3/+/2PBFCY74GM44jtwdPDTa01pxBE1FVNMI\nU9eZpgpNb46PfFPdmhPx9eP7xXJHaE+eAoZBfYMfW6y1RaF+ZPHSmsNvm9vzvDcMg5qDjSTYokN+\nzA+x5ev99Em1k+qIa/X+Y+UqYBhUVjcEi6qupqHRj7fRH/Z8dtT1qEtMIxQRETlRdPePMEMptNrT\nLlRn909u9gl4e7RVZB1mO8poTyQdq9A6UXV0oXU8xz88gpZ1mpO6+u+mqh2t0IL2FVlHPqazCi2A\nc05P+UGPN5tMXbbQAoiJsgRHjbuDnvlfLiIiEibONj5NlqPrqgWRnNhio609tuiVzhHRpd9FRERE\nREROVCq2REREREREwkDFloiISAeK8NdRRESkC4n4JNXCwkKmTZtGQUEBy5cvx+1243a7ueOOO4iO\njiYvLw+Hw0FmZibjxo2LdLgiIiIiIiIhiejIltvtZs2aNdhsNsrLy/noo4/w+/307t2btLQ0Vq1a\nRXZ2NvPmzWP9+vX4w7Ahn4iIiIiISDhEdGTL6XQyffp0Jk2aRFFRESaTiXvvvZe1a9fy5z//Gbfb\nTXp6OgCJiYlUV1fjcDja7M/hsHVW6N2WxWJWnkKgPIVGeQqN8tSzmNA8QhERaRLxaYTQtNlbSkoK\nCQlNm4f17t2b8vJyMjIyKC4uxuVy4fF4SEw8+k7OJ9qmf+FwIm6OGA7KU2iUp9AoT6E7ETY1FhER\nOaxLFFsmk4n09HRcLhfz58+ntraW+++/n7q6OnJzcykoKGDkyJGYj7HRnIiISMRpYEtERA7pEsXW\nsmXLALjrrrua3W6z2ViyZEkkQhIREREREflBNFQkIiLSgTSwJSIih6nYEhERERERCQMVWyIiIiIi\nImHQJb6zJSIi0hWUlpaSl5eHw+EgMzOTcePGAfDuu+/yzjvv4PV6Offccxk9enSbfZg0j1BERA7R\nyJaIiMghq1atIjs7m3nz5rF+/Xr8fj8Amzdv5quvvmLPnj3B/R9FRESOJeLFVmFhIVdddVXw9y+/\n/JJrrrkGaPqE8e6772b+/Pk8//zzkQpRRER6CLfbHSymEhMTqa6uBuCCCy7g2Wef5dFHH2XlypXH\n6EVDWyIi0iSi0wjdbjdr1qzBZrMBUF5eztq1a0lKSgK++4QxKyuLyZMnM3bsWCwWSyRDFhGRE1hG\nRgYlJSW4XC48Hg+JiYkAPPbYYzz33HPEx8cTCASO2ofFYsLhsHVGuN2axWJWnkKgPIVGeQqdctW5\nIlpsOZ1Opk+fzqRJk2hsbOQPf/gDs2bN4s477wRa/4TR4XBEMmQRETmBjRkzhtzcXOx2OyNHjmTx\n4sXMmjWLa665hrvuugubzcbEiROP2offb1BZWdc5AXdjDodNeQqB8hQa5Sl0ylVoUlISOqSfLrFA\nhmEYfPjhh1RVVfHggw+ya9cu1q1bR0ZGBsXFxS0+YWyLqvRj06cZoVGeQqM8hUZ56j6cTidLlixp\ncfvo0aOPuijGkbRAhoiIHNYlii2TycSFF17IhRdeCMCkSZMYPXo0breb3NxcCgoKGDlyJGbz0b9i\nVnGgBtMx2vR0+jQjNMpTaJSn0ChPoeuoTxJFRES6gi5RbC1btqzV39v6hLFNgQCo2BIRERERkS7g\nhKpMjENL9IqIiESKZhGKiMhhXWJkq6MYx1ghSkREeg6/389f//pXysrKyMrKon///sHVbkVERDrD\nCTWyhUa2RETkkFmzZlFeXs6bb76J1+tl+vTpkQ5JRER6mBOi2DrtdzMAjWyJiMh3SktLmThxItHR\n0fzoRz/C6/V2zoG1HKGIiBxyQhRbpsMbHQc0siUiIk2SkpJ4+eWXqaur4/XXX9cUQhER6XQnVLGl\nBTJEROSwvLw86urqGDJkCCUlJeTl5XXKcTWuJSIih0V8gYzCwkKmTZtGQUEBCxcuxGq1UlpayvTp\n04mKiiIvLw+Hw0FmZibjxo1rtQ+TpalmNPyaRigiIk3Wrl2L1WplwIABABQUFLR5HREREQmHDiu2\n6uvriY2Nbddj3G43a9aswWazcfDgQX7yk58wYsQI3njjDd577z1KS0vJzs4mKyuLyZMnM3bsWCyH\npwwewWTWNEIREWnOZrMBYBgGO3bswO12q9gSEZFO1WHTCG+77TamT5/OW2+9FfKXkJ1OJ9OnT8dm\nsxEXF8eIESPYs2cPr7/+OqNGjcLtdpOeng5AYmIi1dXVrfbz3TRCjWyJiEiTq666iquuuoqrr76a\ne+65h9LS0k45rtbHEBGRwzpsZOuZZ56hrKyMN954g2nTpmG327niiisYMWLEMR9rGAYAb731Fhs2\nbOD3v/89MTExZGRkUFJSgsvlwuPxkJiY2OrjS+vdACTER2Fz2DrqlE5IFosZh3J0TMpTaJSn0ChP\nkZGXl4fpUOVTXl6O1RrxmfMiItLDdOg0wo8++oiPPvqIhoYGhg8fzu7du3nxxRfJz88/6mNNJhN7\n9uxh7ty5/OQnP2Hu3LlcdtllXHvttSxevBi73c7IkSMxm1sfiMv/+AWuAzyVdXgr6zrqlE5IDoeN\nSuXomJSn0ChPoVGeQpeSktBhfV1yySXBYismJobBgwd3WN9Hp6EtERFp0mHF1sSJE/npT3/KjBkz\n6NOnT/D2urpjv8FYtmwZAB988EGL+5YsWXLMxzfS9F0tQ9/ZEhHp8e644w5MJlNw1sRhJpOJpUuX\nRigqERHpiTqs2Jo5cyZff/01ffr0Yd68eVx77bWcddZZTJ06taMO0Sbj8AR5fWdLRKTHu+eee4I/\nm474AtX3i69waWMShoiI9EAdVmwtXLgwOEJ15513cvvtt/PCCy90VPdHFTh0LTX8vk45noiIdF2H\nZ1esWrWKV155BZ/Ph9/vx2q1smbNmqM+trS0tNUtR/75z3/y97//Hb/fz8UXX8xPf/rTNvswa4UM\nERE5pMM+fzObzTgcDgCSkpIIBDpvlMlvabqwaVNjERE57P+zd+eBUVb3Hv/fsyQzmUySSUggAQQB\nEWTRaC9S9VqU1qUiLXLpLV4U6wKIWovFHwaL0lSEG5UfUrxCK4rLryqIQq2tLSqKIrigaBGQJYQg\nS0K2yWSf7fn9EYgsCRlgkhkyn5d/mMzMOc/3fDPkyXfO85yzdOlSnnvuOc4//3zy8vJIS0sLqc34\n8eN5+OGHWbNmDYFD55XXXnuN1NRU/H5/q/d+qdYSEZHDwjazddNNNzFmzBgyMzM5ePAgt956a7i6\nblXwUMmomS0RETksOTmZxMREPB4P/fr1w+12t9qmuS1HXC4Xmzdv5oknnqC4uJh58+aRl5fXYh8e\nnwdnfGrYxiEiImeusBVbo0aNYtSoUZSXl+NyuVpcObAtBMyHZrb8mtkSEZFGI0aM4Pnnn2fw4MGM\nHj2azp07t9qmpS1HunXrRnx8PC6X66j7wJoX0FL/IdCWCKFRnkKjPIVOuWpfYd1na8WKFSQkJDQ9\n1tq18eESODyz5fe1y/FERCT69enTh4suugiA0aNHk5TU+rLyY8aMYc6cOU1bjsyePZucnBxuuukm\npk2bRiAQYPLkySfsIxA0tNR/CLQlQmiUp9AoT6FTrkITrq1IwlZsvf3226xcuZK4uLiTaldYWMiU\nKVNYsWIFzz77LPv27aO6uprp06fj9XqbvVH5WBbroWNqZktERA5ZtWoVc+fO5YILLmDEiBEh7bOV\nnp7e7JYjV199NVdffXVbhCkiIh1Y2Iqt7Oxstm3bRu/evZsusThylqs5paWlLF++HIfDgdfr5fPP\nP2fRokV89tlnLFu2jIaGBsaPH092djYTJ05k7NixWCyW4/qJtzUex/Drni0REWmUk5MDwNdff82C\nBQsoKCjgX//6V4SjEhGRWBK2Ymv37t3k5eU1bSRpMpl48cUXT9gmPT2dqVOnMmHCBCorK0lPTweg\nS5cuHDx4EJ/P1+yNyseyx9sxTFogQ0REvvfNN9+watUqvvrqKwYOHMg999zTLsc1oeUIRUSkUdiK\nrWeffZb9+/ezf/9+evbs2VQ4hapTp05NK0Udvjk5GAxy4MCB425UPlZCXAKGxYw9Tjf8tUY3RYZG\neQqN8hQa5SkyXnvtNa6//nruu+++EBa1EBERCb+wFltfffUVe/fu5cYbb+Sbb77hD3/4Q8jtzWYz\nQ4cOJTc3F4/HQ25uLvX19cyZM4cVK1Zw1VVXtbjCYYLVRtBspraqVjf8tUI3RYZGeQqN8hQa5Sl0\n4bohGSA3NzdsfYmIiJyKsBVbq1ev5i9/+Qs333wz//3f/83rr78ecttnnnkGgJtvvvmox51OZ7M3\nKh8rwWonaDbpni0REREREYkaYSu2rFYrhYWFmEwmSkpKsNvt4eq6VfY4OwGL7tkSEZGjffnllxw4\ncID+/ftz1llnER8f3+bHNNr8CCIicqYI287Dubm5PP7441RUVPD73/+eGTNmhKvrViVY7QTMJm1q\nLCIiTWbPns3bb7/NkiVL2LFjB/fff3+kQxIRkRgTtpktv9/Pb37zG4B2vxE5Ic5OwKyl30VE5Htb\nt27lpZdeYvz48Vx77bW88MILkQ5JRERiTFgXyAAwDIP8/HxSU1P585//HK7uT6hxZstQsSUiIk0S\nEhJYt24dgUCAf//73zidzkiHJCIiMSZsxdacOXOavjYMg4kTJ4ar61bZrXb8Js1siYjI9+bMmcOf\n/vQnHA4Hb775Jo8++mikQxIRkRgTtmJrzZo1TV+XlpZSUlISrq5blRBnp8IMQb+v3Y4pIiLR6cjz\n0aWXXsqll14KNF5W2Llz50iFJSIiMShsxdamTZuavrbZbMyfP/+k+yguLuapp55qutQjPT2dffv2\nUV1dzfTp00lNTW22ncNqp9QMfl/DqQUvIiIdxpHno2MNGzasHSMREZFYF7Zi69hCaO3ataxduxaA\ncePGhdTHrl27+OSTTxg0aBD9+vVjw4YNLFy4kE8//ZRly5YxadKkZtvZrTaCZhMBn/f0BiEiIme8\ne+65B4Dy8nKWLVvGrl276NGjB+PHj49wZCIiEmvCVmx9/vnnZGVlkZ2dzbZt29iwYQM33HDDSfWR\nmZnJkiVL6N69O7fddhuZmZlNj5/ossREWwIBM5iMAC6X47TG0dFZLGblKATKU2iUp9AoT5Fx7733\ncuONN3LNNdewZcsW7rvvvqbFnNqSyaSdtkREpFHYiq2KigqefPJJAK655hpuueWWky62/vKXv/Bf\n//VfADidTvbv3w9AUVHRCa+zt5ntBCwmvPX1uN21pziC2OByOZSjEChPoVGeQqM8hS4jIylsfZlM\nJkaMGAFAr169eO2118LWt4iISCjCVmw5HA7mz5/PgAED2LRpE1lZWSfdx+jRo5k/fz7dunUjOzub\nuLg4cnNz8Xg85ObmttguIc5OUAtkiIjIEex2O5MmTeL8889n27ZtVFVV8dhjjwEwbdq0ZtsUFxeT\nl5eHy+WiT58+R10GX1VVxdixY3nxxRfp1KlTu4xBRETObGErtubPn88HH3zAnj17yM7O5sorrzzp\nPgYMGMCiRYtOup3daiNgNhHU0u8iInLIhAkTmr4eMmRISG2WLl3K+PHjyc7OZuLEiYwdOxaLxYJh\nGMybN48ePXq0VbgiItIBha3YKigo4PXXX6eyspJrr72W999/n+HDh4er+xNqLLa0z5aIiHwvLi6O\nVatW4fN9f9XDjBkzTtimtLS06cqM5ORkqqqqcLlcPPXUU/zyl7/k+eefb8uQRUSkgwlbsfXII4/w\n5JNP8tvf/pZf/OIX3Hzzze1WbJlNZkxWq4otERFpMmPGDB566KGm7URC0bVrV4qKiujSpQsej4fk\n5GTKy8v5+uuvKSsrY+PGjSxevJgHHnigxT5MJpMWRAmBFo4JjfIUGuUpdMpV+wpbsRUIBEhPTwcg\nMTGRhISEcHUdEpPVCoFAux5TRESi14ABAzj//PNxOEL/o2LMmDHMmTMHp9PJVVddxezZs8nJyWHx\n4sUATJ8+nTvuuOOEfRiGoQVRQqCFY0KjPIVGeQqdchWacC3YFLZia9SoUdxyyy0UFhYyefJkrr32\n2nB1HRKT1Qp+bWosIiKNevbsyfDhw+nevTuGYWAymVi+fPkJ26SnpzN37twWn58zZ064wxQRkQ4s\nbMVWVlYW8+bNY+/evXTt2rVplqu9mOLiMPk0syUiciY5UFZDl1QHZrMp7H2vW7eOjz/+GIvFEva+\nRUREQhG2YuuZZ57hhRdeIC0t7ZT72LdvH08//TROp5OUlBRsNhv79u2jurqa6dOnk5qa2mJbU7wN\ns1/FlojImaLe6+fhZz/jVz/tz2WDT367kNace+65vPPOO/Tp0weTqbGYO+ecc8J+nGMZ2tNYREQO\nCVuxVVJSwmWXXUZWVhYmkymkyzWOtWTJEnr06MHu3bu57LLLeOWVV1i4cCGffvopy5YtY9KkSS22\nNdviMfsCTZeKiIhIdKuoaiAQNNi5r7JNiq2GhgbWrFnDmjVrmh7TZYAiItKeTrvYuvPOO1m0aBH/\n/Oc/+etf/8rPf/7zU+6rsLCQMWPGcMcdd3Drrbc27WeSmZlJSUnJCdua422YAMPvwxQXf8oxiIhI\n+3BXewEoOOBpk/5nzZpFfn4+wWAQoNXziIiISLiddrFVU1PT9PXrr79+WsVWRkYGiYmJWCwW7HY7\nbrcbgKKiIjp37txiO4vFhN2ZCECy3Yo1SctZtkTLfYZGeQqN8hQa5al5vt0VAOwtqSEh0YYtLrz3\nVk2ePBmn00lBQQFWq5WEhAQuv/zysB6jebqOUEREGp12sRXOS/Zuv/125s6dS1JSEj/72c+oqKgg\nNzcXj8dDbm5ui+0CAQPMjbNZFSVu4gLmsMXU0Wi5z9AoT6FRnkKjPDVvf3EVAMGgwabtBzmnW0rY\nltoFqK+v589//jPTp0/n0Ucf5aabbgpb3ycSVLElIiKHnHaxtWfPHh577DEMw2j6+rBp06adVF99\n+vThySefPKU4rHY7AIbXe0rtRUSkfbmrG+iUbMNd7aXggIdzuqWEtf+4uDjy8/NpaGggPz+fioqK\nsPbfEsMItstxREQk+p12sXVkcXXllVeebnenLM7WeIlOoKE+YjGIiEjo3NUNdEpJIMkR3yb3bc2c\nOZPdu3dz++23M2/evFY3Iw6XoJYjFBGRQ0672Lr44ovDEcdpi7M3Flve+hoSIhyLiIi0zl3txeWM\nJ9Eex5bC8M46lZeX06NHD3r06MHatWu55ZZbGDp0aFiP0TIVWyIi0qjD3NxkS2hcIKOhvqaVV4qI\nSDSorG7A5bTRKyuZ4vJaaut9Yen35Zdf5q677sLv9/P444/zwgsv8Pbbb/PEE0+EpX8REZFQhW2f\nrUiz2Q8VW3UqtkREop1hGIdmtmz0ympcFKOgqIqeZ6Wddt9vvvkmr776Kj6fjzfeeIP33nsPh8PB\n2LFjT7vvUGheS0REDutAM1tOALwNWvFLRCTa1XsDNPgCuJzxZHVKxBZvYXeY7ttyOBovK9+wYQMD\nBgxo+t7bTgsoGbpnS0REDukwM1sJCck0AL46FVsiItHOXd0AQIrThtls4uwuSRQcqApL31lZWcyd\nO5d169Zx7733UllZyXPPPUe/fv3C0r+IiEioorLYuv/++xk+fDgHDhxg3759VFdXM336dFJTU1ts\nk+JwUWaC+rrwnKxFRKTtuKsbZ5lczsY9EntlJfPp1uKw9P2HP/yBjz76iOuuu47zzjuPHTt2kJaW\nxt133x2W/kVEREIVdcXW888/T2Ji4/1XGzZsYOHChXz66acsW7aMSZMmtdjOZoknYDVRX1fdXqGK\niMgpqjw0s+Vy2gDo1TWZf362Jyx9WywWrrjiiqbv+/btS9++fcPSt4iIyMmIqmJr9erVJCUlkZ2d\nTTAYpFOnTgBkZmZSUlLSavuA1YJXC2SIiEQ9d7UXW5wFe7wFgHO7p5Dhskc4KiguLiYvLw+Xy0Wf\nPn0YN24cAK+88grbt2+nrq6Oa6655oT7SiYmRNWpVUREIiiqzgh/+9vfSElJYdeuXQBNM1xFRUV0\n7ty5xXYWiwmXy0HQHkewoRaXy9Eu8Z6JLBaz8hMC5Sk0ylNolKfj1fkCpCXbSE1t/D3vcjn4U85P\nIhwVLF26lPHjx5Odnc3EiRMZO3YsFouFlJQUZs6cidvt5pFHHjlhsWWPj6pTq4iIRFBUnRHmzZsH\nwMqVK4mPj6esrIzc3Fw8Hg+5ubkttgsEDNzuWgxbPP6aWtxuLZLREpfLofyEQHkKjfIUGuXpeMVl\nNSQ54o/LS0ZGUoQialRaWkpWVhYAycnJVFVV4XK5uO6666itrSXF+XM5AAAgAElEQVQvL48777wz\nojGKiMiZI6qKrcNGjRp1Su1MCQmgBTJERKJe4x5b8ZEO4zhdu3alqKiILl264PF4SE5OBiA/P59F\nixYxZcoUunXrdsI+TGZwpWgmszWa8Q2N8hQa5Sl0ylX7ispi61RZHA7MpeUEggEsZkukwxERkRZU\nVjdwdmZkZ7GaM2bMGObMmYPT6eSqq65i9uzZTJs2jcmTJ9O/f3/mz59P3759mTBhQot9BIOGZjJD\noBnf0ChPoVGeQqdchSZcV1p0qGIrzuEk3hvE460i1e6KdDgiItIMwzAOzWzZIh3KcdLT05k7d+5x\nj69atSrkPgwDMIUxKBEROWOZIx1AOMU7k7H5DNwNlZEORUREWlDvDdDgC5AShZcRhkPQo8vZRUSk\nUYcqthKcLmy+IO4GT6RDERGRFriP2WOrozEaGiIdgoiIRIkOVWzZnSnEew3c9e5IhyIiIi1wV3sB\nonKBDBERkXDqUMWW1eHAYkBldXmkQxERkRZUdvSZLSPSEYiISLSIqgUyNm7cyKuvvorT6SQtLQ27\n3c6+ffuorq5m+vTppKamnrC9OaFxGcuaqrL2CFdERE6Bu9qLLc6CPV6rxoqISMcWVcWWx+Nh5syZ\nOBwObr/9duLj41m4cCGffvopy5YtY9KkSSdsb01JAcBboZktEZFo5a5uIMUZj8nUMZfsM9DUloiI\nNIqqywiHDRuGw+Fg0aJFjBw5kk6dOgGQmZlJSUlJq+2t6ekABMsr2jROERE5de7qhg57CaGIiMiR\nompmq6amhtmzZzNy5EiGDBnCu+++C0BRURGdO3dusZ3FYsLlcmCkJJAfb8XqriIlJaHDfmp6OrRr\neGiUp9AoT6FRno5WXe+nc5qj4+bECEY6AhERiRJRVWw9+uij7NmzhzfeeIO//vWvDB06lNzcXDwe\nD7m5uS22CwSMpp2wg64UEqtqOVBahiOug57IT4N2DQ+N8hQa5Sk0ytPRytx1dE9PbDYnGRlJEYhI\nRESkbURVsTV79uzT7sPSqRMpFVW4GzwqtkREokx1nY/SynoyXAmRDqXN6I4tERE5LKru2QqHhN69\nySr1UVGjRTJERKLNZ1uLCRoGP+iXEelQ2k5AlxGKiEijDldspV7wH8T7DWp3fBvpUERE5BgfbzrA\n4N6dOvQCGYEDxZEOQUREokSHK7YSz+5Nnd1MYOv2SIciIiJH2FdSTcGBKi4bnBXpUNqUyZUc6RBE\nRCRKdLhiy2Q24+nVBdO2XfgCvkiHIyIih3z8TRGJdivZ53SKdChtqjbQEOkQRCREgWCAhoA30mFI\nB9bhii2Asy++klS3l082vxvpUEREBAgEg6zfXMTFA7oQZ7VEOpw2daZ/0BcMcen6oNeLYWg5EDmz\nbavYyaaSzZEOI6wCwcBp/9sM+qK3AA0EA2fU79kOWWx1/cF/EjSbKPjkXbz6tEJEJOI2F1RQWe3l\nskEd+xJCALsl/rT7KKurYEPRRnZVFuIL+PAH/QAYwSBGMEi9/+jZMyMYxFty8KjHgkYQX0M9QZ/v\n+++P+QOl3l9/zPcNfFn8Ne6GShoCXirq3S3GWL3xSxr2FLY6lmBDQ1PctVu3EKyva/Z1pe4iGnz1\nzT53JMMwjisIfUE/3hP88RWorW3KQ6vxtlJE1u/ejffgwWafq/XVcrC2tPmYjzl+sL4ez6efEKiu\nDimuI/vyHXo/HMlXUUGgrvnctsbjraLOf3zuQ/2DPVBTgxEINP9cMMB3Vfub3nsebxW7PXtCji1Q\nU4NhGPirPM3GFqyvw1dT3eyHBEGf97ic1Psb2Fd9gKARxB/0U+urxVRb1/geNQx27NpITX1Vi/H4\nSktOOs+GYRCoq8MIBPAHjn6vBhsaCPp81Pm/79MItvyBh2EYrf5cNh78N3uq9mIEg8e/7xoa8Ja1\nvIicN+Clrmg/1V9+SaCq5TycKl9FBXU7dhz3eCDY/PvHMAw2l33LTncB3oAPb8DLdnc+X5d80/R8\nY9w+an21BGprG3Pt9xOoqWm2T3/QT52/7rh/R4ZhEAgGTvi75FRE1dLvzSkuLiYvLw+Xy0WfPn0Y\nN25cq20sDgfxAwYw8JutvP/5Cn5y8Rgs5o79SaqISLQ6UFbDPz4pJKuTg15Z0b2PVkvnnPXr17Ny\n5UoAxo4dy4UXXthiH/W+er4q+YZ+gTQMdyWW9E74gn6CB0uoNXw4Ujqx01NA996DsVlsJGGjfncB\n5qxMaqwBvqs5gP/Qyb68rpzyunJMJhMD4rrz3VcfE5eQSFmvTpgqq+gaTCLrvAspWf8hdouNgN9P\nze6deKinvGsK1m8LiLNYqc/qBHFWDKeDXm4rpQkBUiv97C8vhKABcVZ6dz6X7QnVYLex8+B2sFow\nuas4J60Phi0OW1kV3yUHIRCgh5FMIOjHW1SE2W7HF2fm26It9Ek5m5TMszCCAcrrK/H5G7BvK8Ri\nshCflYXf46F2+3as6ekcLKqndn85/i5p1ATrqdiyCQD/gD4QZ+WCjEHsrdpHSk0Qa1on4gMQZ4mn\n0HuQino3A1LPpWbDZ8Rbbeyq2YeRYGPQkGsoy99CfNduWDFTXr4fR2pnPBs+IzneibVXT6zfFRPX\nrSvmLp3x+RpwxCVQV1VJdaAe23fFGA311PrrSIxzYM/sitdkUOqErGozFpsNb3ERHq8Hj9GNvunn\nYqquZXftAdz+KsxlboKd09hTVkBCfCJdU7pS568nrbQOb3ExB/t1ofLAHix7DpDp7IzD6sCzfSue\nNDtxZR7S+vRnS8EXdK4G5w+GEDBBpbsQ98EyEstqMA/qT11DLQe3buRsazrFtSX0/I8f4fv2+z9e\nfU4bXm8DNmcSKT37UvvdbnY56vB7KjnX2RMjzsqOku10KfdjNVtJSE5lV2UhwfRU+rrjMDAo65WB\n1xwguGUbWY5MLEGD+PP6s6d6HyazhbiiUkwNXrqcfzHWOBu132zCR4CCng5M/gADkvvgMxl4Nm2k\nsraCuvN6YQ0EsZa6+a6hhKDTgbW8itLC7fTpdQHBzp2o/OwTnE4XSeeex9eVO0j2W+hhz8RbUEC1\nvxaryQr9+0CCDd/mrRQ7DQb2/AENm75hl3s38T8cRG9TdyrcxVgMSHGk0rBrF4GgH58RID4tjZ1J\nDYAJU20dJbs/JNC7OyYDLPnfUVEcxBf0UVNdzPaS/SR37k5mjYm4s3vh27+PgvhqrMkpZOwowmwy\nEwj68buSSendl2///SGmCg9JqRkkd8rCmpZG/d7vqE6K56zu/djy7TrM+w6S4ehESW0ZwS5pBLtk\nkBGXQsUXn0GCDX/fntgPusm0uDBX1WLplkV1qgNTVTWe7VupT7BCt0z8VhMEggzypbHPqKRh7156\n9/0BtQ4LBXUHMIIB8AeoqC4j7uttHKwtJdgphbikFM5NOpuKgm/Z5i+n12XXU+evJ35vCYGyMuw/\nuIjaQB27tnyK+WA5Z6ecxZ4vPyLpvIHYK2qpKS2iJj0JUpLpmdGbBm8dDbXVBEpKqO6cRJbFhdnn\nx1daiiU5BWtmF2o+/xxbjx4EXUlsrtgBJuixy0O8JZ4tgQOk1IMjNYPU5Aw2VxeQYLUzMGswteWl\n2OwOAj4vO3dsoK5bGnWmOtyHP/zx+zG7q6iPLyV/10b8Pi9+lxPLngN0dWZht9owx8cTbGgAkwmA\nQGYGid3PImAE2Vy6FQBHbYBOpXU0uJw4y2vYU7kXf/9eYDGTmdKNjIx+YTmvmIwovwbgj3/8Iz/6\n0Y/Izs5m4sSJLFy4EIvl6MLJ5wsctzmmt7iIHY8+jKney/a+SSS5OhOfkIjVZsfkDxA0GWA2YzZb\nMGPG1NzBDTD5fGA2Y1gsNP+iZps1K8TmIR/En55CwzlnnVSzBEccdbUnrth9/gAFRVUEgkbjgTAw\nHfovXIMwDAPjqL7NLfdtgHHov8aXmDCZwprN48TFWfD5mv+URQ69xw2IizMT8MNZcf2xmuKOeo3p\nyNce9cX3L2jbn+LxDsd9ZCimdoglISGeurrwz7Kf6Jd3e+T2yOMbQYNA0MAfCBIIGhiH/t1+u8fN\nzr2VOGxWfvXT/vxH/84n7DPSmxq3dM45/LXf72fKlCksXLiwxT4+XL6EhvrjZx5OJCneSZX3mBmO\nOCv4Tq6faJUYn0idv47gEZ/Y2+zWk86TxWzG77Bhqj61GZzm2K3242b4DnPEJVDrazxWnMWKL3Dq\nP48j+zoZoeQpMd6BGfPx76F2YjJBpP6adMYnUu2tOaX3U2vCMa5gpxTMZZXhCegIJpPplC8VbItc\nwYn/LUUFezx4fY0fMJlNjf8/gatumhCWw0b9zFZpaSlZWY2XnSQnJ1NVVYXL5TrqNXFxluNP0BlJ\ndHvlFQCGtUukIiJypmvpnGMYBhaLBYvFgq+Vy9F+NObW9ghVRETOAFF/z1bXrl0pKioCwOPxkJys\nJXVFRKRttHTOsdvt+P1+6uvrsdk67h5hIiISXlF/GWFpaSlz5szB6XQyaNAgfvGLX0Q6JBER6aCO\nPeds27aNnJwcNm7cyPLly/H7/dx2220MHDgw0qGKiMgZIOqLLRERERERkTNR1F9GKCIiIiIiciZS\nsSUiIiIiItIGon41wmOFYw+UWNBSnl555RW2b99OXV0d11xzDVdeeWWEI428E+3lVlVVxdixY3nx\nxRfp1KlTBKOMvJby9NFHH/Hee+8RCAS44oor+PGPfxzhSCOrpTytXbuWDz74AK/Xy0UXXcSoUaMi\nHGl0KCwsZMqUKaxYsaLpsTP19/mp7AvZUW3cuJFXX30Vp9NJWloadrudffv2UV1dzfTp0/F6vcfl\n6tlnnz3qNampqZEeRru5//77GT58OAcOHFCeWrBv3z6efvppnE4nKSkp2Gw25aoZxcXFPPXUUzid\nTgDS09OVp2Ycee45dvyh5Ki517TIOMPMnz/f2Lhxo2EYhjFhwgTD7/cf9XV9fb1x5513RjLEqNBS\nnv7+978bhmEYFRUVxm9/+9uIxRdNWspVMBg0cnNzjTvvvNMoLS2NZIhRoaU8/frXvzaefPJJIycn\nxzhw4EAkQ4wKLeVp3rx5xrhx44xbbrnF+OSTTyIZYtQoKSkxnnjiCeN//ud/jnr8TP193tLPPhZ9\n8MEHRk1NjWEYhnHbbbc1/Rw//fRTY9GiRUflauLEiUZ1dbUxadIkwzAM45NPPjEWLVoUmcAjYMmS\nJcbDDz9s/P3vf1eeTuCRRx4xFi1aZOTk5Bhr1qxRrlqwbt064yc/+YkxZcoUY+HChcpTM4489zQ0\nNDSNP5QcNfea1n7fn3GXETa3BwrQtAeKzWZrdQ+UWNBSnq677jpqa2vJy8vjzjvvjGSIUaOlXD31\n1FP88pe/PG5ft1jVUp42b97M5MmTueuuu5g3b14kQ4wKLeXp0ksv5bnnnuOPf/wjzz//fAQjjB7p\n6elMnToVh8Nx3HNn4u/zln72sWjYsGE4HA4WLVrEyJEjm64M6NKlCwcPHmw2V+np6QBkZmZSUlIS\nsdjb0+rVq0lKSiI7O5tgMKg8nUBhYSHDhg1j1qxZLF68WLlqQWZmJkuWLGHevHl89tlnTbNUytP3\njjz3VFZWNo0/lByd6DUtOeOKLe2BEpqW8pSfn8/MmTO555576Nu3byRDjBrN5aq8vJyvv/6aV155\nhY0bN7J48eIIRxl5Lb2nunXrRnx8PC6XC5PJFMkQo0JLeVqwYAFWq5XExESCwWAkQ4w6xjGL4tps\ntjPy97n2hfxeTU0Nv/vd78jOzmbkyJG43W4AioqK6NKlC127duXAgQMAVFZW0rlz56Ne07lz54jF\n3p7+9re/sWnTJlasWMGyZcsoKysDlKfmZGRkkJiYiMViwW636z3Vgr/85S9Nf/g7nU72798PKE8t\n6dSp00m/l459TWu/78+4pd+1B0pomsvTtGnTuP766+nfvz92u52+ffsyYcKESIcacS29p6zWxlsa\np0+fzv333x/z92y1lKfVq1fz7rvvEggEmDx5Muecc06kQ42olvL01ltv8f777+NwOPjZz37GJZdc\nEulQo8aECRN45plnmDVr1hn9+1z7Qn7vwQcfZM+ePXTt2hWLxcKAAQPYtWsXHo+H3Nxc6uvrj8vV\nSy+9dNRrDt9zEgtWrlxJfHw8ZWVlylML8vPzWbBgAUlJSQwdOpSKigrlqhlbtmzhj3/8I926daNb\nt27ExcUpTy04fO45dvyh5Ki517TkjCu2REREREREzgRn3GWEIiIiIiIiZwIVWyIiIiIiIm1AxZaI\niIiIiEgbULElIiIiIiLSBlRsiYiIiIiItAEVWyIiIiIiIm1AxZaIiIiIiEgbULElIiIiIiLSBlRs\niYiIiIiItAEVWyIiIiIiIm1AxZaIiIiIiEgbULElIiIiIiLSBlRsiYiIiIiItAEVWyJRbt++fdx8\n881MnTo10qGIiEgM0/lI5OSp2BI5A5hMJubOnRvpMEREJMbpfCRyckyGYRiRDkJEjlZTU8PUqVOp\nqamhc+fOHDx4kP379/Pee+9x8803k5aWhtlsZt68eZEOVUREOjCdj0ROj2a2RKLQ0qVLufDCC3np\npZe47rrrjnt+zJgxOrGJiEib0/lI5PR0qGKrsLCQG264ocXnv/nmG8aPH9/0/fz583n88ceZMmUK\nJSUl7RGiSEh2797NoEGDALjooouOe75Xr17tHZKIiMQgnY9ETo810gGES2lpKcuXL8fhcADwf//3\nf7jdbiorK/n1r39NfX09a9euxWr9fshvvvkmQ4YMoby8nJSUlEiFLnKcXr16sXHjRi677DI2b958\n3PNmc4f6nERERKKUzkcip6fD/AtJT09n6tSpOBwO8vPz+eijj0hISMDpdPLpp5/St29f7rzzTiwW\nCwDBYJBZs2bxv//7v1x//fX84x//iPAIRL534403sm3bNm6++Wb++c9/YjKZMJlMAE3/FxERaWs6\nH4mcng4zs3XY4fU+zj77bH7729+ybds2Ghoajnt+69atrF69mksuuYT09HQOHDgQkXhFmmO321mw\nYEGzz7344ovtHI2IiMQqnY9ETk+HK7ZMJhN9+vTB6XSSm5tLWVkZM2bMOOp5gH79+uF2u5k1axbV\n1dU89NBDkQpZREREREQ6oKhY+r2wsJD58+eTlpbGwIEDmxa5WL9+PStXrgRg7NixXHjhhZEMU0RE\nYkRhYSFTpkxhxYoVTY/pnCQiIicrKma2qqurmTp1Kl26dOHee+9tKraWLFnCwoUL8fv9TJkyhYUL\nF0Y4UhER6eiOXXDpMJ2TRETkZEXFAhkDBw7EarUyadIksrOzj3rOYrFgs9nw+XwRik5ERGLJkQsu\nHUvnJBERORlRMbP17bffkpmZybPPPsu9995LVVUVSUlJ2Gw2/H4/fr8fm83WYnu/P0DkL4ZsfxaL\niUAg9gaucccWjTu2xMVZIh1Ck2Ovsg/1nNTQ4IvJc9LJitX3+MlSnkKjPIVOuQqN3R4Xln6iotjy\ner08/PDDZGZmctZZZzF//nxycnIYP348v/vd7/D7/dx1110ttjcMcLtr2zHi6OByOTTuGKJxx5ZY\nHXdGRlKkQ2hyeEGlWbNmndQ56eN/H6CmtqHF56VRosOmPIVAeQqN8hQ65So0I4f1DUs/UbFAxuny\n+QIx+UdJrP4xpnHHFo07tkRTsXWq9hVX4fHURTqMqJecnKA8hUB5Co3yFDrlKjTn9e0cln6iYmZL\nRESko+ic5iA+Ku6Ijm4ul/IUCuUpNMpT6JSr9qVUi4iIiIiItAEVWyIiIiIiIm1AxZaIiIiIiEgb\nULElIiIiIiLSBlRsiYiIiIiItAEVWyIiIiIiIm1AxZaIiIiIiEgbULElIiIiIiLSBlRsiYiIiIiI\ntAEVWyIiIiIiIm1AxZaIiIiIiEgbsEY6AICNGzfy6quv4nQ6SUtL4+677wZg5cqVvPXWW2RkZDB0\n6FBGjRoV4UhFRERERERCExXFlsfjYebMmTgcDm6//famxz///HMyMzMJBAJkZ2dHMEIREREREZGT\nExXF1rBhwwBYtGgRI0eObHp8zJgxDB48GI/Hw4wZM3j66aebbW+xmHC5HO0SazSxWMwadwzRuGNL\nrI5bRESkI4mKYqumpobZs2czcuRIfvjDHzY9/sUXX5CdnY3T6Txh+0DAwO2ubeswo47L5dC4Y4jG\nHVtiddwZGUkRPX5xcTF5eXm4XC769OnDuHHjAFi7di0ffPABXq+Xiy66SJe1i4hISKKi2Hr00UfZ\ns2cPb7zxBitXrsTpdJKTk0NaWhoPPvggAJMmTYpwlCIi0tEtXbqU8ePHk52dzcSJExk7diwWi4UN\nGzbw7bffYrVaGTFiRKTDFBGRM0RUFFuzZ89u9vHRo0czevTodo5GRERiVWlpKVlZWQAkJydTVVWF\ny+Xi0ksv5a677qK+vp4HHniAoUOHRjhSERE5E0RFsSUiIhINunbtSlFREV26dMHj8ZCcnAzAggUL\neOGFF0hMTCQYDJ6wj1i9j/hk6b7E0ChPoVGeQqdctS+TYRhGpIM4XT5fICbvbYjVezo07tiicceW\nSN+zVVpaypw5c3A6nQwaNIht27aRk5PDW2+9xfvvv4/D4eBnP/sZl1xySYt9xOo56WTF6nv8ZClP\noVGeQqdchSZc5yPNbImIiBySnp7O3Llzj3t81KhRWhRDREROmjnSAYiIiIiIiHREKrZERERERETa\ngIotERERERGRNqB7tkREpEMKBAL84x//4ODBg2RnZ9O7d29SU1MjHZaIiMQQzWyJiEiHlJOTQ1lZ\nGe+88w5er5epU6dGOiQREYkxKrZERKRDKi4u5le/+hXx8fFccskleL3eSIckIiIxRsWWiIh0SKmp\nqbz22mvU1tby9ttv6xJCERFpdyq2RESkQ8rLy6O2tpZBgwZRVFREXl5epEMSEZEYExULZGzcuJFX\nX30Vp9NJWload999NwDr169n5cqVAIwdO5YLL7wwkmGKiMgZ5PXXX8dqtdK3b18AVqxYwbhx4yIc\nlYiIxJKwF1v19fXY7faTauPxeJg5cyYOh4Pbb7+96fElS5awcOFC/H4/U6ZMYeHCheEOV0REOiiH\nwwGAYRjs2LGD0tJSFVsiItKuwl5s3XPPPaSkpPDTn/6UH/3oR8THx7faZtiwYQAsWrSIkSNHHvWc\nxWLBYrHg8/nCHaqIiHRgN9xww1Hfjx8/PkKRiIhIrAp7sbV48WIOHjzIqlWrmDJlCk6nkxEjRjQV\nVM2pqalh9uzZjBw5kh/+8IdNj9tsNvx+P36/H5vN1mJ7i8WEy+UI6zjOBBaLWeOOIRp3bInVcYdT\nXl4eJpMJgLKyMqzWqLhyXkREYojJMAwjnB3W19fz/vvvs2rVKjweDz/60Y8wDINPPvmERYsWNdvm\nwQcfZM+ePXTt2hWz2YzT6SQnJ4eNGzeyfPly/H4/t912GwMHDmy2vc8XwO2uDecwzggul0PjjiEa\nd2yJ1XFnZCSFra/PPvusqdiy2WwMHDgQi8UStv5bEqvnpJMVq+/xk6U8hUZ5Cp1yFZpwnY/C/jHf\nr371K3784x9z//33061bt6bHa2tb/qHOnj272ceHDBnCkCFDwh2iiIh0YPfeey8mk4ljP0s0mUzM\nnz8/QlGJiEgsCnuxNW3aNLZv3063bt14+OGH+cUvfsHgwYO56667wn0oERGR4zzwwANNXx+e2QKO\nK75ERETaWtiLrVmzZvHMM88A8Jvf/IZf//rXvPzyy+E+jIiISLMOX1WxdOlS3njjDfx+P4FAAKvV\nyvLly0/Ytri4mLy8PFwuF3369GlavfCjjz7ivffeIxAIcMUVV/DjH/+4zcchIiJnvrBvamw2m3G5\nXACkpqYSDAbDfQgREZFWLV26lOeee47zzz+fvLw80tLSQmozfvx4Hn74YdasWUMgEADgtddeIzU1\nFb/f3+L9wyIiIscK+8zWTTfdxJgxY8jMzOTgwYPceuut4T6EiIhIq5KTk0lMTMTj8dCvXz/cbner\nbUpLS8nKympqX1VVhcvlYvPmzTzxxBMUFxczb9488vLyWuxj23efUlvrDds4OipHVbzyFALlKTTK\nU+iUq9BkZFwRln7CXmyNGjWKUaNGUV5ejsvlwmwO++SZiIhIq0aMGMHzzz/P4MGDGT16NJ07d261\nTdeuXSkqKqJLly54PB6Sk5OBxksT4+PjcblcR90H1hyvrxqLVfeHtcbr8ypPIVCeQqM8hU65al9h\nX/p98eLFrFixgoSEhKbHWrtG/nTF6jK7sbp0p8YdWzTu2BLOpd+//PJLLrroIgA8Hg9JSUmtFkql\npaXMmTMHp9PJoEGD2LZtGzk5OaxevZp3332XQCDA5MmTOeecc1rsI1bPSScrVt/jJ0t5Co3yFDrl\nKjRRu/T722+/zcqVK4mLiwt31yIiIiFbtWoVc+fO5YILLmDEiBEh3WuVnp7O3Llzj3v86quv5uqr\nr26LMEVEpAMLe7GVnZ3Ntm3b6N27d9MniEfOcomIiLSHnJwcAL7++msWLFhAQUEB//rXvyIclYiI\nxJKwF1u7d+8mLy+vaUNJk8nEiy++GO7DiIiInNA333zDqlWr+Oqrrxg4cCD33HNPpEMSEZEYE/Zi\n69lnn2X//v3s37+fnj17kp6eHu5DiIiItOq1117j+uuv57777mv1Xi0REZG20CbF1ldffcXevXu5\n8cYb+eabb/jDH/4Q7sOIiIicUG5ubqRDEBGRGBf2ddlXr17NggULcDqd/Pd//zfbtm0L9yFERERE\nRESiXtiLLavVSmFhISaTiZKSEux2e0jtCgsLueGGG456bOXKldxxxx1Mnz6dlStXhjtUERHp4L78\n8kv+/ve/k5+fj9erTTxFRKR9hb3Yys3N5fHHH6eiooLf//73zJgxo9U2paWlLF++HIfDcdTjn3/+\nOZmZmUDjKociIiKhmj17Nm+//TZLlixhx44d3H///ZEOSQwsjDwAAB3ZSURBVEREYkzY79ny+/38\n5je/AQj5huT09HSmTp3KhAkTjnp8zJgxDB48GI/Hw4wZM3j66aebbW+xmHC5HM0+15FZLGaNO4Zo\n3LElVscdTlu3buWll15i/PjxXHvttbzwwguRDklERGJMmyyQAWAYBvn5+aSmpvLnP/85pLaGYRz1\n/RdffEF2djZOp/OE7QIBIyZ3wo7VHcA17tiicceWjIyksPWVkJDAunXrCAQC/Pvf/271XCIiIhJu\nYS+25syZ0/S1YRhMnDgx5LaHZ8JmzZpFTk4OaWlpPPjggwBMmjQpvIGKiEiHNmfOHP70pz/hcDh4\n8803efTRRyMdkoiIxBiTcex00mlas2ZN09elpaW89NJLbb64hc8XiMlPgGP1k2+NO7Zo3LElHDNb\nR56HjjzFmUwmhg0bdtr9tyZWz0knK1bf4ydLeQqN8hQ65So04brSIuwzW5s2bWr62mazMX/+/HAf\nQkREpEVHnoeO1R7FloiIyGFhL7ZSU1OP+n7t2rWsXbsWgHHjxoX7cCIiIke55557ACgvL2fZsmXs\n2rWLHj16MH78+AhHJiIisSbsS79//vnn7N27l/T0dMrKyvjXv/6Fw+E4bll3ERGRtnTvvfdy1lln\nMXnyZHr16sV9990X6ZBERCTGhH1mq6KigieffBKAa665hltuueW4zYpFRETamslkYsSIEQD06tWL\n1157LcIRiYhIrAl7seVwOJg/fz4DBgxg06ZNZGVlhfsQIiIirbLb7UyaNInzzz+fbdu2UVVVxWOP\nPQbAtGnTmm1TXFxMXl4eLpeLPn36HHX5e1VVFWPHjuXFF1+kU6dO7TIGERE5s4W92Jo/fz4ffPAB\ne/bsITs7myuvvDLchxAREWnVhAkTmr4eMmRISG2WLl3K+PHjyc7OZuLEiYwdOxaLxYJhGMybN48e\nPXq0VbgiItIBhb3YKigo4PXXX6eyspJrr72W999/n+HDh4f7MCIiIicUFxfHqlWr8Pl8TY/NmDHj\nhG1KS0ubrshITk6mqqoKl8vFU089xS9/+Uuef/75Vo/72Rd7qa1tOK3YY4HDYVOeQqA8hUZ5Cp1y\nFZqrhkfp0u+PPPIITz75JL/97W/5xS9+wc0336xiS0RE2t2MGTN46KGHcDqdIbfp2rUrRUVFdOnS\nBY/HQ3JyMuXl5Xz99deUlZWxceNGFi9ezAMPPNBiH5WVdQTDuoNlx+TzKU+hUJ5CozyFTrlqX2Ev\ntgKBAOnp6QAkJiaSkJAQ7kOIiIi0asCAAZx//vkntRrumDFjmDNnDk6nk6uuuorZs2eTk5PD4sWL\nAZg+fTp33HHHCfu4anhfbRgaAm2sGhrlKTTKU+iUq/YV9mJr1KhR3HLLLRQWFjJ58mSuvfbacB9C\nRESkVT179mT48OF0794dwzAwmUwsX778hG3S09OZO3dui8/PmTMn3GGKiEgHFvZiKysri3nz5rF3\n7166du3aNMslIiLSntatW8fHH3+MxWKJdCgiIhKjwr6p8TPPPIPL5eL8888/qUKrsLDwuP241q9f\nzwMPPMADDzzAxo0bwx2qiIh0YOeeey7vvPMOO3bsYOfOnezcuTPSIYmISIwJ+8xWSUkJl112GVlZ\nWZhMppAu2ygtLWX58uXHXVe/ZMkSFi5ciN/vZ8qUKSxcuDDc4YqISAfV0NDAmjVrWLNmTdNjugxQ\nRETaU9iKrTvvvJNFixbxz3/+k7/+9a/8/Oc/D7lteno6U6dOPWpPlMMsFgsWi+WopXtFRERaM2vW\nLPLz8wkGg0Djh4EiIiLtKWzFVk1NTdPXr7/++kkVW4cZxtHrUNpsNvx+P36/H5vN1mI7i8WEyxX6\nalMdhcVi1rhjiMYdW2J13OE0efJknE4nBQUFWK1WEhISuPzyyyMdloiIxJCwFVsmkylsfcyaNYuc\nnBzGjx/P7373O/x+P3fddVeL7QIBIyaXsIzVpTs17tiicceWjIzwbCIJUF9fz5///GemT5/Oo48+\nyk033RS2vkVEREIRtmJrz549PPbYYxiG0fT1YdOmTQupj2eeeQZo3IgSYMiQIQwZMiRcIYqISAyJ\ni4sjPz+fhoYG8vPzqaioiHRIIiISY8JWbB1ZXF155ZXh6lZEROSUzJw5k927d3P77bczb968Vjcj\nFhERCbewFVsXX3xxuLoSERE5LeXl5fTo0YMePXqwdu1abrnlFoYOHRrpsEREJMaEfZ8tERGRSHr5\n5Ze566678Pv9PP7447zwwgu8/fbbPPHEE5EOTUREYkzY99kSERGJpDfffJNXX30Vn8/HG2+8wXvv\nvYfD4WDs2LGRDk1ERGKMZrZERKRDcTgal8zfsGEDAwYMaPre6/VGMiwREYlBmtkSEZEOJSsri7lz\n57Ju3TruvfdeKisree655+jXr1+kQxMRkRijYktERDqUP/zhD3z00Udcd911nHfeeezYsYO0tDTu\nvvvuSIcmIiIxRsWWiIh0KBaLhSuuuKLp+759+9K3b9/IBSQiIjFLxZaIiMghxcXF5OXl4XK56NOn\nD+PGjQPglVdeYfv27dTV1XHNNddoP0kREQmJFsgQERE5ZOnSpYwfP56HH36YNWvWEAgEAEhJSWHm\nzJnk5OTw1ltvRThKERE5U6jYEhEROaS0tJSsrCwAkpOTqaqqAuC6666jtraWvLw87rzzzkiGKCIi\nZxBdRigiInJI165dKSoqokuXLng8HpKTkwHIz89n0aJFTJkyhW7dup2wD4vFhMvlaI9wz2gWi1l5\nCoHyFBrlKXTKVfsyGYZhRDqIlq6RX7lyJW+99RYZGRkMHTqUUaNGNdve5wvgdte2Z8hRweVyaNwx\nROOOLbE67oyMpIgev7S0lDlz5uB0Ohk0aBDbtm1j2rRpXH/99fTv3x+73U7fvn2ZMGFCi33E6jnp\nZMXqe/xkKU+hUZ5Cp1yFJlzno6iY2Tp8jXx2djYTJ05k7NixWCwWPv/8czIzMwkEAmRnZ0c6TBER\n6eDS09OZO3fucY+vWrUqAtGIiMiZLiqKreaukXe5XIwZM4bBgwfj8XiYMWMGTz/9dIQjFQHDMPB4\nKiNwZC+VlbH4SZTGHUnJySmYTKZIhyEiInJGiopiq6Vr5L/44guys7NxOp0nbB+r18fH6jW3kR63\n2+3G8scnSLbZ2vW4ZrOJ1GDEr/ptdxp35HgaGjA99DAulyuicYiIiJypoqLYGjNmTNM18ldddRWz\nZ88mJyeHtLQ0HnzwQQAmTZrUYvtAwIjJa09j9ZrbSI+7srKWBMOMHUu7HtceH0d9va9djxkNNO7I\nqTfMh2bX4tvtmJG+Z0tERCScoqLYauka+dGjRzN69OgIRCQiIiIiInJ6tM+WiIiIiIhIG1CxJSIi\nIiIi0gZUbImIiIiIiLQBFVsiIiIiIiJtQMWWiIiIiIhIG1CxJSIiIiIi0gZUbImIiIiIiLQBFVsi\nIiIiIiJtQMWWSBu7be0adldXAVDj9zH8n2/xZVkpAHV+P/+1+h3q/H4AXt61k0v//lcChtHU/tef\nfMyvPvqAWz94n0nrPmL8R++zp7oagPs+W8+Crd80vXZzRTn/z+efAPDI11/yUfEBKr1e/uPNN5pi\nAJjz76/4qPgAADs8ldz76TomfPwhN3/4PvO3fN9fc976bg/zNm8CwOP1csfHH/LSzh34g0GufPst\nJq77iNvXrmHixx+yw1MJQMAwGP7PxucmfvwhEz/+kMnr1h41zpaMffcdqnzeZp+r8ft4e+93xz0+\nc+MGbj8i70cKGAaPfPUlADe8t6rV4wNsq3STs+Gzox4rrqvlf9as5uEvN4TUR3PuWr+W29eu4bua\nal7dlc+tH33A/6xZza4qT7OvDxoGk9etbcrjsLf/1uz4D3t+x3Zu+nA1t69dw9flZXgDAW796ANu\n/OC9U45ZREREQmeNdAAiHZ0zLo7aQ8XUizt3YMZEjd8HwNKCfEae1ZMEq5Uqn5d/7N3DpZ27sKe6\nml5JSQDkV3n420+uJTEhnvp6H3/J38mq/Xu549z+FFRVUeXz0RAIYLNY2OyuYKArDYAtFRXc3X8A\nW9wVDExN45VdO5l+/oWNz7krmNSvP/tra/jdF5/z+JCh9HQ2Hm/a55+y+sA+hmd1a3Y8W9wVXJDW\nieK6Wu77bD2/OqcfV3frzlZ3BQNTU3nqh5cBsL2ykpkbv+DlYcPJ93g4NzmFRZdeflK58wWD1AUC\nJMXFN/v8mqID7K+tPeqxWr+fnR4Pfxk2vNk2FpOJh7Iv4kBtLVkOR0hxfFvpZlBq6lGPfVRcxMiz\nenBj73NC6qM5+2trWfnjq/ms5CCb3RUsufwKvq10s6e6mgEZnY57vdlkYuGl/wnA2uIi/rF3Dz/t\nflazfe+rqWH1gX28dPmVlDbUM+PLDfzp0sv5zYDB/G1v4SnHLCIiIqFTsSXSxpKscdQFAri9Dbyz\nfy/Xn9WDap+fOr+fv323h//vR1cCsHj7Nsb2OoeCKg+7qjz0Skpif20tnWx2LCYT0DgTtr6kmDE9\ne3Gwro7kuDiGdcnib98VMubs3mx2VzCiew8aAgFq/H7SbHY2u3cz8qwevLmnEI/XS4LVisfnJc1m\nZ9bXX3L7uf2bCi2Ax4YMbfo6Z8NnPJR9IYnWuKbHNrsruDg9g8nr1/K78y/kB+kZTY8PcLmaXndu\nSgq1/sZxbnFX0C/l++eas/DbLeypqabS68UfDPLHH17GrioP56akALBgyzd8WVZKwDCY1O88uiUm\n8uTmTWTYE/h5j55k2BMAmPDxh1R4G3hl105S4uN5eddO4s0WeiclMeOCi3h9dwE1fh/dHImc53Lh\nCwb5301fUVBVhdVk4sELLuRsZxJv7/2OV3btJN1uJ85sZmyvPk2xflZykIXfbqWbw8Elnbvw0s4d\n7K6uImAYTBt8AQNcqdy1fi3nJqfwXU0Nk/r1Z9X+fdxz3sCmPvbX1tD1ULH38q6dWExm7vj4Q/6z\ncxd+1bffCXNV0dDAom1bWHzZsBZfkxIfT/fEREwmE7uqqki32Zt+TgNdqS22ExERkfBRsSXSxpxx\ncdT5/SzZsZ3/6X0OtX4/VT7vUbNae2tq+Hd5GfcNHMxf9+ym4NDlb1vdFZTW1zPx4w8paajHFRfP\nz3uczRVZXfngwH7Oc6UyskcP7lr/MWPO7s1Wt5v/Z9AFfFvpbipStroruK1vP4yz4I3CAi7O6Ezf\n5MbnNpSW8psBgwB46MsNFNfVUlJfz4IfXkb3xET+9z8uPmosAcNgh6eS//t2CxaT+agZp61uN5d3\nyTzq9Z5Dl/9tcVewsbyMrZVuMAwwmfj1eQMZnJrW9NothwrFa7ufxf/7zb/5sOgAHp+XQalp/G1P\nIW6flyWXX9F06eKyK39C90Qn8y6+hJT47+O4rnsPbBYzY87uzdPfbua5y4YRb7EwevUq/MEgm93l\nXH9WTz4uLmJgaiov7NxOVoKDhy64iJ2eShZv/5bJ/Qbwyq6dPPufw/AGA1z1r3/w++wfNB3j4ozO\nZCYk8KdLL+fF/B1kORw8lH0RBVVVPLbpaxZe+p9sr6zk/kHn0zspGYBzjyk2t7jdTUXPl2WlPD7k\nhwxJz+DO9WsZntWNc+0tF0R/2raVW8/ph91iafE1BdVVbKoo579Wv0O138erw34MwGZ3Obecc26L\n7URERCR8oqLYKi4uJi8vD5fLRZ8+fRg3bhwA69evZ+XKlQCMHTuWCy+8MJJhipwSZ1xjMbX+YDH3\nXvFjVhQWUN7QwLv79/HC5VcAsGDrN1jMZqZ+th6Pz0fnQ7M0m90VTO4/gJ/16ElBXTWP/v/t3W1Q\nVGeWwPE/dNPd9AvNO01DNKJGwougYlgxK2pq1h031k4S3eTDVipllW7Mmh1nzDok2cjoWjHuZspa\nEyMTzZAaK5sEqTJbySRVW8aUEnYUFRIDoigoOEgrIE0LDfTrfgB7gnIFd4EWOL+v93o959B9u08/\nz32eykp+Nv3hwLG0yEgiNVrmmM2U37Dhw48xLIxz9g7SBr7I1zk6ecQcyQxTBGu/PYYpTBM45vJ5\nUYf0P7r5r/NzAFjx31+SpDC97pKjkzidjr0Do06/qTnLbwemBtbYO1g/JzVwbnXHTVJMEYSr1dTY\nO/iP3LzASM5Qrjmd/PXAlDitSkVoSAjn7B08PXMmxbXn+ae0/lEhQ1gYbp8Pj89Hl9s9qNECqLbf\n5IVZj9DW20trby/7686jU6lw+3yoQ0M539nfkL5/oZY1M1I4UHcenUpNRVsrPr+fZL2B8hs2Vj40\njbDQUPx+P9MNRsLVf75d9ng8+IFwtZrjthZ+93h+4G/t8nm50nWLudHRgUZrKLX2DjKjonF6PCTq\nDeTGxQMwJ8IcaFKH0tHXR2V7GwVzsxXPAfj36u95be48FsUnsLe2hhOtN/hp8kNccjiYNdBsi7uN\nxufRxbMncTr7xiXeiaxVr5U6jYDUaWSkTiMntRqZuLhlo3KdB6LZ+vTTT3n++efJzs5m/fr1PPfc\nc6hUKoqLi9m3bx8ej4dNmzaxb9++YIcqxH0zqTX8vr6Olx/NQBUSgl6t5mD9RZ6ePoNwtZrvb7bT\n5/VyYPESAG65XawvLwP6R3tWDjQgj0ZFkaTX89WfrvLT5Ic4Z+9gRVIyAH/3cAo7z37HnIj+0ZMa\newerHppOW28vEWEawkJDCQsNZX5MLP/VdIV/HJjOtjA2jq+ar/L09BkAHLe1kBiuJ2Rg2uKdztk7\n+CtrMvHh4cSHh/OfDZc4ZmvhL+Lisbv6SAjvb6bsrj7erj7LL9Izcft8tPf1DttodXvc+Px+er1e\nTrbe4PlZs/ndxfOkR0Xh9vvoHnjureRyPXnxCdQ5OgMjdD9W73AwO8LMby/UkhefwE+syZReaSA9\nMjqwEEm4Ws2N3h4s4XoM6jB25TxGtFbHwUsXWZyQwJm2NroGGp6PL9eTGjl4VKq20x6YMun2+ej2\nuNGqVPz+0kWWJVqp6eggZ2B6pZJzdjvPpcxEr1bjH8jb7fPx/c32QdMN7/SHPzWxMnnaPa8N4Pb6\nyBgYOWx2dpMVHYPD5cKgVgempYq7jcbn0Q8VFXi93nGMemJSqVRSpxGQOo2M1GnkpFYjk/OXk6jZ\namtrIzExEYCIiAhu3bpFZGQkfr8flUqFSqXC7XYr/vuwMBVxcSbF45OZ5D3+wsK8YNBi0GlHdH6M\nMZwIjYbVc/oXUog2hOP0eFib/ig6tZp3/qeGwpwcDIb+6xnQ0u31EK7X0NjdxVxLXKD5+fvUOeys\nrGT1nFmDjuUYLGjOqZiXEIfBoOWCo5Nt1gROt7YyNy42cO0X0lL5my+/JMeagEGj4Y3HFrL99GmO\n2K7h8fmI0enYnvsYBoOWf6uq4mczZvDIjxqNuu5bLElMDFzv1ZwFbCovJ86kp8frZcOJb+nzetGo\nVPwyO4tFFgtn29sDxwD8gDokhP1Ll6IO7R9Vq2+/Tp7FQkHVKZxuN1vmzyPKpIeQEIxaDf88L5sd\nZ84AYDUY+PXChVxxOLh4q5PqLju5CQkA3OzrI0qnxWTUsWxaMjsrKylrvY7T48Fq0HPF5SQjJoZW\nn4uHIyIwGLT8cl42v6o8hcvrJc9iIdMSR3JUBC8eO8b39psA/CQ5OZAzQF2TgxxLAgaDln/JWcCW\nMxX4gayYGNZlprOzspKV06djMGix9/Wx48wZ3s7LG/S6uOnu4+GY/tr+PGsu//DHMlQhIfxqwXyi\nI/T8orycXy9ceNfI3R/bbvD6ggWBeGo7Ovj8yhW23DHSsmX+PDaeLEerUpETF8eKlOl829Iy6PUw\nHLfKjyHWRGTk1LnP/H8/jwCe3bBpPEIVQggxAYT4/SNYe3mMFRUVsWjRIrKysli/fj1FRUWEhoby\n8ssvs3v3bjweD5s3b2bv3r3BDlUI7HY7vPUWkTpdsEOZNN7+7jsei49nidUa7FDGxdWu/imhRUuW\nDHnc5/fzXnU1GzMzh71WS3c339psrJk5c9hz99XUYNXr+dsZM0YUp723FwoKiIy89+Imk4l8Hgkh\nhBhND0Sz1dbWxs6dOzEajWRkZHDhwgUKCgqoqqqitLQUj8fD2rVrSU9XnlojxHiRZmv0vXD0KL/J\nyyNmitT0q6YmdlVV8fPMTJ5KSbnreKfLhdfvJ1o7/AhU461bTDcNP/L0VmUlf2hq4sPly5kZofws\n2Y9NxWZLPo+EEEKMpgei2RJiIpFmS0wVU7HZEkIIIUZTaLADEEIIIYQQQojJSJotIYQQQgghhBgD\nD8RqhPdjqu7JpZQ3QFlZGYcOHWLPnj1BjHBsKOX98ccfU1dXR09PDytWrGDZstFZnvNB0dXVRXl5\nOTqdjqioKObOnQtAQ0MDly9fxu/3k52dTWxsbJAjHV1KeQP09fVRWlrKU089hf4ey8hPNEo5nz9/\nnrq6OvR6PcnJyaSmpg5zpYlF6b1dVlbG119/jdfrZenSpTzxxBNBjnTk7nWfnmqqqqr45JNPMBqN\nREdHo9PpaG5upquri1dffRWXy3VXrT744INB50RFKW/sPdm88sorLF++nJaWFqmTgubmZt577z2M\nRiNmsxmtViu1GsL169d59913MRqNAMTGxkqdhtDY2MimTZs4fPjwXfmPpEZDnaNkwo1s3d4DZevW\nrRw7diywT0BxcTFvvvkm27dv5/333w9ylKNPKe+TJ0/S1NRET09PkCMcG0p5m81mCgsLKSgo4Isv\nvghylKOvpqaGrKws8vPzaWxsxOfzBY4tW7aMzMxM6uvrgxjh2FDK2+/3c+LECczmybcZr1LOzc3N\ngQ9Li8USzBDHhNJ7+9ChQ0RFReHxeCbcIhRKOU1FDoeDwsJC3njjDSorKzl9+jRbt25l9erVlJSU\nDKrV8ePH6e7u5tSpU2zdupVnnnmGkpKSYKcwbj788EMMBgOA1OkeiouLmTZtGg6Hg4yMDKmVgoaG\nBk6cOIHNZsNsNkudhtDW1kZpaSl6vR6XyxXIfyQ1Guqc4e73E67ZGmoPFCCwB4pWqx12D5SJSCnv\n3NzcSf3rqVLeK1euxOl0smvXLl588cVghjgmnE5n4Iu2VqvF5erfYDclJYWWlha++eYbkpOTgxni\nmFDKu6KigvT0dHSTcFESpZzT0tJYunQpixcvpry8PJghjgml93ZNTQ0bNmzgpZdeYvfu3cEM8b4p\n5TQV5efno9frKSoqYtWqVcTExACQkJDAjRs3hqzV7ZF6i8VCa2tr0GIfT0ePHsVkMpGdnY3P55M6\n3UNjYyP5+fns2LGDAwcOSK0UWCwWiouL2b17NxUVFYFRKqnTn8XGxrJ582b0ej2dnZ2B/EdSo3ud\no2TCNVtWqxWbzQb0/3IWMbCEsU6nw+Px0Nvbi3YEyyVPNEp53zZZF5VUyru+vp7CwkI2btzI7Nmz\ngxnimDCZTHR1dQH90+duv6avXr1KUlISzz77LKdPnw5miGNiqLx7enq4fv061dXV2Gw2Kisrgxzl\n6FL6W7e0tBASEoLmjk2NJwul93ZSUhIajYbIyMjAZt4TxXD36amku7ub119/nezsbFatWtW/iitg\ns9lISEjAarXS0tICQGdnJ/Hx8YPOiY+PD1rs4+nzzz/nhx9+4PDhw5SUlNDe3g5InYYSFxeHwWBA\npVKh0+nkNaXgo48+CnzxNxqNXLt2DZA6KYmJibnv19Kd5wx3v59wS79P1T1QlPJWq/sfu1u3bh37\n9+8PcpSjb6i8t2zZwpNPPklqaio6nY7Zs2ezbt26cYtpPJZ+dzqdlJWVodFoiI+Pp729nccff5za\n2lquXbuGWq0mMTFx0j3Ho5R3aGj/70JHjhwhLy9vUj2zpZTzhQsXaG5uBiAjIyMoUwnHcul3pXva\n0aNHOXLkCF6vlw0bNjBr1qxR/7/Hyp05rVmzJtghBc1rr71GU1MTVqsVlUpFWloaDQ0NOBwOtm3b\nRm9v7121Onjw4KBzbo/4TgWfffYZGo2G9vZ2qZOC+vp63nnnHUwmE7m5uXR0dEithnDu3Dn27NlD\nUlISSUlJhIWFSZ0U3P7ufGf+I6nRUOcomXDNlhDBZrfbcWzbRsQkHEEV4sccfX1EFBbKPltCCCHE\n/5E0W0LcJ7/fT2dnZ7DDEGJcmM3mCTedTwghhHhQSLMlhBBCCCGEEGNgwi2QIYQQQgghhBATgTRb\nQgghhBBCCDEGpNkSQgghhBBCiDEgzZYQQgghhBBCjAFptoQQQgghhBBiDPwvQqKtKZx8JsoAAAAA\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f6e273b05d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"k = 3\n",
"#data = 500*[0]+500*[1]+500*[2] + 750*[0] + 750*[1] + 0*[2]\n",
"data = 50*[0]+50*[1]+50*[2] + 75*[0] + 75*[1] + 0*[2]\n",
"ndata = len(data)\n",
"\n",
"model = pm.Model()\n",
"with model:\n",
" p = pm.Dirichlet('p', a=np.array(k*[1.]))\n",
"\n",
" paras = pm.Dirichlet(\"dir\", a=np.array([[100.,100.,100.],[150.,150.,1.],[1,1,1]]), shape=(3,3))\n",
"\n",
" category = pm.Categorical('category',\n",
" p=p,\n",
" shape=ndata)\n",
"\n",
" obs = pm.Categorical('obs',\n",
" p=paras[category],\n",
" observed=data)\n",
" \n",
"with model:\n",
" step1 = pm.Metropolis(vars=[p, paras])\n",
" step2 = pm.ElemwiseCategoricalStep(vars=[category], values=range(k))\n",
" tr = pm.sample(10000, step=[step1, step2])\n",
" \n",
"pm.plots.traceplot(tr);"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied stickbreaking-transform to p and added transformed p_stickbreaking to model.\n",
"Applied stickbreaking-transform to dir and added transformed dir_stickbreaking to model.\n",
" [-----------------100%-----------------] 10000 of 10000 complete in 36.1 sec"
]
},
{
"data": {
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qzZaRMnh74hC6PF2WlqvDFolN7FAUGXlFwtFoHzo9HVjqW4x4LoGx9ARWBJZC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OTm+isabL48fjC2HP1+MNeens9PX9HLhDGDFjCJswqsak6y9+bHdX7D2eWlaO2XgyrV5PgIA/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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f6e1807dc10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"k = 3\n",
"#data = 500*[0]+500*[1]+500*[2] + 750*[0] + 750*[1] + 0*[2]\n",
"data = 50*[0]+50*[1]\n",
"ndata = len(data)\n",
"\n",
"model = pm.Model()\n",
"with model:\n",
" p = pm.Dirichlet('p', a=np.array(k*[1.]))\n",
"\n",
" paras = pm.Dirichlet(\"dir\", a=np.array([[100.,1.,1.],[1.,100.,1.],[1,1,100]]), shape=(3,3))\n",
"\n",
" category = pm.Categorical('category',\n",
" p=p,\n",
" shape=ndata)\n",
"\n",
" obs = pm.Categorical('obs',\n",
" p=paras[category],\n",
" observed=data)\n",
" \n",
"with model:\n",
" step1 = pm.Metropolis(vars=[p, paras])\n",
" step2 = pm.ElemwiseCategoricalStep(vars=[category], values=range(k))\n",
" tr = pm.sample(10000, step=[step1, step2])\n",
" \n",
"pm.plots.traceplot(tr);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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