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@MridulS
Last active August 20, 2021 16:11
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epidemiology of macroeconomics
name: epidemiology
channels:
- conda-forge
dependencies:
- pip
- networkx
- matplotlib
- pip:
- ndlib
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "dc2f4ee3",
"metadata": {},
"outputs": [],
"source": [
"import ndlib\n",
"import networkx as nx\n",
"import ndlib.models.epidemics as ep\n",
"import ndlib.models.ModelConfig as mc\n",
"from ndlib.viz.mpl.DiffusionTrend import DiffusionTrend\n",
"from ndlib.viz.mpl.DiffusionPrevalence import DiffusionPrevalence"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "b2cf3818",
"metadata": {},
"outputs": [],
"source": [
"# A common source network, where all agents in the \n",
"# population can be infected by a single source\n",
"common_source = nx.star_graph(50)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "4676c16a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(common_source, with_labels=True)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "809a837d",
"metadata": {},
"outputs": [],
"source": [
"population = 5000\n",
"common_source = nx.star_graph(population)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "aa7a5848",
"metadata": {},
"outputs": [],
"source": [
"# SI model to simulate the spread of economic opinions on a common source network\n",
"model = ep.SIModel(common_source)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "214c0aee",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'Susceptible': 0, 'Infected': 1}"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model.available_statuses"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "7218bed0",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/ms/miniconda3/envs/ndlib/lib/python3.9/site-packages/ndlib/models/DiffusionModel.py:120: UserWarning: Initial infection missing: a random sample of 5% of graph nodes will be set as infected\n",
" warnings.warn('Initial infection missing: a random sample of 5% of graph nodes will be set as infected')\n"
]
}
],
"source": [
"cfg = mc.Configuration()\n",
"cfg.add_model_parameter('beta', 0.02) # infection rate\n",
"model.set_initial_status(cfg)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "1285ca2b",
"metadata": {},
"outputs": [],
"source": [
"# Manually force the model to start with only one infected node (node 0)\n",
"model.status = {i: 0 for i in range(population+1)}\n",
"model.status[0] = 1"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "fe44d531",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:07<00:00, 50.17it/s]\n"
]
}
],
"source": [
"iterations = model.iteration_bunch(400, node_status=True)\n",
"trends = model.build_trends(iterations)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "80102caf",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/aOKzS5IkSZLOiwXzSWbNKKK8KI/OvgwH2/uY7SpmSZJOFUWQ6YeBrrhE7u+C/s7h550nRl2cblVySEF5fVwel9UNb8JXa5EsSZIkSVOYBfNJQggsqy+Px2Q0dVkwS5JyWzYLmd64NG7bC22N0LEvHnVxLgWlUDIzLpDLaqG0DsrqIe2/ekiSJEnSdOJ/5T3LspPmMF+7rMYxGZKk6S2KoOswtO+Dnta4TO5ri1ckn6lITudDYTkUlMVfC8ugcEb8vLgKiishr3AivwtJkiRJUkIsmJ+loeLEmIxDHX00VLiKWZI0jWQGoKcFupqgvRFad8FA9+nPDQHyiuLVyBXzoHJe/LWwPH5PkiRJkpTzLJifJYTA0royHt3bxtbDXRbMkqSpK4ri1chtjfGIi/Z98QrlZyssh+pF8TiLosp4FXJhWVwuWyRLkiRJks7Cgvk0lteX8+jeNsdkSJKmliganpe850Sp3N956jmpNJRUx2VyeQNULYLSGotkSZIkSdKoWDCfhmMyJElTQhTFBXLnITi6C1p3Qm/bqefkFw2Pt1gQj7gorY1LZkmSJEmSxoAF82k4JkOSNCkNZYbnJu+EzoPQ3QyDfaeek18MVQugYv6JQtnVyZIkSZKkcWLBfAbLHJMhSUpSx4G4SB7sjR8D3dCxLy6ZT5ZfBKV1calcvRjKZkEqlUxmSZIkSVLOsWA+g9mOyZAkJaGtEfbcG5fLp1NWF2/IV7kgPi4oc4WyJEmSJCkxFsxncPKYjG2OyZAkjZehQWjfNzz6Yle8chkgnQ+z1kFxVbxKOa8YyuuhsDzZvJIkSZIkncSC+SyOj8lo6uIax2RIksZCFEFXU7xCuXUndOyH7NCJ9/MKYe56mLMeCkqSyylJkiRJ0ghYMJ/FsTEZHb2DHO7oZ1ZFUdKRJElTTRRBdwu07YG2vfFK5YGeE++HEK9Mrpwfb8xXtSAumSVJkiRJmgIsmM8ihMCSujIe29vG1sOdFsySpJHraYWmTXB4E/QcOfW9wvJ4jnL1YqhaCPmOYZIkSZIkTU0WzOewvL6cxxyTIUkaif5OaNoMh5+GzkMnXi8oicvkinnxSuXiKjfmkyRJkiRNCxbM5zC7ooiyQsdkSJKGZYeguxk6D8azlAd7YLAv/trdHI/EAMgrgJrlULcKqhZBKpVsbkmSJEmSxoEF8zmEEFha75gMScpJ2SFo3gLdTdB7NH50H4Fs5vTnp/KgZjHUrYaZSyCdP7F5JUmSJEmaYBbMI7BseA6zYzIkKUdEERzZDjtuf+78ZIhHXMxogPIGKCiD/CLIK4KSmW7QJ0mSJEnKKRbMIzCnsvj4mIzmrn7qyl3FLEnTUjYLbbth76/h6J74tZJqqFsJxdVxsVxS7aZ8kiRJkiQNs2AegRACi2pKeXJ/Ozubuy2YJWm66TgIh5+Cpk0w0BO/ll8EC6+B2ZdCKp1sPkmSJEmSJikL5hFaXHuiYN6weGbScSRJF+rYGIy9v4b2fSdeL6mON+abu96VypIkSZIknYMF8wjNqy4hPx043NFHZ98g5UVu3CRJU1JvGzRthkNPQE9r/FpeIcxaB/WroXwWOGtfkiRJkqQRsWAeofx0ivkzS9nR1MWulm7Wza1MOpIkaaQGuqHpmXgExsmrlYtmwNznQ8M6N+eTJEmSJGkULJjPw+KauGDe2WzBLEmTXnYoXql8+Gk4uhuibPx6Og9mLovHYMxcCqlUojElSZIkSZrKLJjPw6KaUkKAva09DGSyFORZSkjSpJMZgIOPQeMD0N8ZvxZSMHNJXCrXLIe8gkQjSpIkSZI0XVgwn4fSwjwaKoo40NbH3tZultaVJx1JknTMYC/sewj2PwSDffFrpTUw53lQuxIKSpLNJ0mSJEnSNGTBfJ4W15ZxoK2PHc0WzJI0KfS1w74H4cBjMDQYvzZjNiy4Mh6B4YZ9kiRJkiSNGwvm87SoppS7t7Wwq6WbbDYilbK4kKQJ19MKzVugZSt0HDjxevVimL8BKudbLEuSJEmSNAEsmM/TzNICKorzae8d5GBHH3Mqi5OOJEnT39AgHN0DrTvjR+/RE++l8qBmWVwsl89KLqMkSZIkSTnIgvk8hRBYXFvKo3vb2N3SbcEsSeOptw32PwyHnjgxVxkgvwiql0DtCqha5KZ9kiRJkiQlxIJ5FBbMjAvmva09XJV0GEmabqII2vbEG/Yd2R4/h3h18syl8RiM8gZIpZLNKUmSJEmSLJhHY05lMelU4HBHH32DQxTlp5OOJElTX2YAmp6Oi+Xulvi1VBrqV8Kcy+KN+yRJkiRJ0qRiwTwKBXkpZlUUsf9oL/uO9rC0rjzpSJI0dZ1uDEZBKcx5HjRcAoVlSaaTJEmSJElnYcE8SguqS9h/tJc9RyyYJem8nWkMxozZMHc91F4Ur16WJEmSJEmTmgXzKM2fWcK9O46wt7Un6SiSNHX0tcORHfGKZcdgSJIkSZI05Vkwj1J9eRGF+SnaegZp7x2kojg/6UiSNDm17oLDT0N7YzwO45jCMph9qWMwJEmSJEmawiyYRymVCsytKmFHUxeNrT1UzKlIOpIkTS69bbDjl9C89cRreQVQMR/qVzkGQ5IkSZKkacCC+QLMr44L5r2tPayxYJak2GAf7H8I9t4HQxlI58O8K6BmGZTWQSqVdEJJkiRJkjRGLJgvwILqEgD2tvYQRREhhIQTSVKC+tph34Nw8HHIDMSv1a2EJS+EohnJZpMkSZIkSePCgvkCVJbkU16UR2dfhubOfupmFCUdSZImXn8X7L47LpajbPxa1UJYcCVULUg0miRJkiRJGl8WzBcghMD86hKePtDB3tYeC2ZJuWVoMF6xvOfe+Dik4tnK866A8llJp5MkSZIkSRPAgvkCzZ95omBev7A66TiSNP66W+LVyoefgoGe+LWZS2HJDVBak2w2SZIkSZI0oSyYL9D86hJCgP1HexnIZCnIc/MqSdPU0d2w605o33/itfL6eMZy1cKkUkmSJEmSpARZMF+gkoI8Zs0o4mB7H41He1hSW5Z0JEkaW30dsONX0LQ5fp5XAHWrYNY6mDEb3OBUkiRJkqScZcE8BhbWlHKwvY9dzd0WzJKmj8xAPGN5733xjOV0Hsy/EuZeHpfMkiRJkiQp51kwj4HFNaXct+MIu1q6iaKI4Go+SVPZUAYOPAp77z0xY7l2RTwKo7gy0WiSJEmSJGlysWAeA7XlhZQV5tHVn6G5s5+6GUVJR5Kk85fpjzfva3wA+jvj12bMhsXXOWNZkiRJkiSdlgXzGAghsKimlCf3t7OrpduCWdLUMtANjffHq5YzA/FrZbWw6DqYudQZy5IkSZIk6YwsmMfIwpMK5isWz0w6jiSdWzYLBx6BXXfGq5cBKufBvA0wc4nFsiRJkiRJOicL5jEyv7qEvFTgUEcfPQMZSgr80UqaxNr2wrZboas5fl69CBZdG4/EkCRJkiRJGiFb0DFSkJdibnUxu1t62N3Sw6rZM5KOJEnP1d8JO26Hw0/Hz4sqYOmLoGaZK5YlSZIkSdJ5s2AeQ4tqytjd0sOulm4LZkmTS3YI9j0Eu++CoUFI5cH8DfEjnZ90OkmSJEmSNEVZMI+hRTNLuR3YfaSboWxEOuVqQEmTwJEdsP026GmNn9csg6U3QnFVsrkkSZIkSdKUZ8E8hipK8plZVsCRrgEOtPUyr7ok6UiScln3Edjxy7hgBiipjsdhzFySbC5JkiRJkjRtWDCPsUU1pRzpGmBXS7cFs6RkDPbBnrth38MQZSGvABZeA3Mug1Q66XSSJEmSJGkasWAeYwtnlvLQ7qPsaunm2uW1SceRlEuGMnDocdh1Fwz2xpv2zb4EFl0LBaVJp5MkSZIkSdOQBfMYm11ZTGF+itbuAdp6BqgsKUg6kqTpbrAXDjwab+I30B2/VjkPlt4E5fXJZpMkSZIkSdOaBfMYS6cCC2eWsuVQJ7taurl0vgWzpHGSHYK998HeX8PQYPxaWR0suApqV8QrmCVJkiRJksaRBfM4WFRzcsFclXQcSdNRWyNs/Rl0t8TPqxfBvCugaqHFsiRJkiRJmjAWzONg4cxSQoB9R3vpzwxRmOemWpLGSH8X7LoTDj4ePy+phuUviYtlSZIkSZKkCWbBPA6KC9I0VBRxoK2PxtYeltaVJx1J0lQ3NAiND8QjMYYGIZWOVywvuArS/l+5JEmSJElKhq3EOFlUU8aBtj52tVgwS7pALdth28+hryN+XrMMFt8ApTOTzSVJkiRJknKeBfM4WVhTwj3bYVdLF1FUR3AmqqTzNdgL22+DQ0/Fz8vqYOmNjsOQJEmSJEmThgXzOKktK6S8KI/OvgxNnf3UzyhKOpKkqSLTD02bYfdd8czlVB4svg7mrIdUKul0kiRJkiRJx1kwj5MQAotqSnliXzs7m7stmCWdW8cBOPBoXC4PDcavVcyFi14eb+YnSZIkSZI0yVgwj6PjBXNLFy9Y4qxUSWfR+CDs+CVEUfy8Yi7MvgTqVrtqWZIkSZIkTVoWzONofnUJBXkpmjr6ae8dpKI4P+lIkiabbBZ2/Ar2PRg/n3NZ/HADP0mSJEmSNAW4LG4c5aVTLJhZAsDO5q6E00iadDIDsOn7cbmcSsPKV8LyF1suS5IkSZKkKcOCeZwtqS0DYHuTBbOkYVEEzVvgwa9C81bIK4R1b4BZa5JOJkmSJEmSdF4ckTHOFtWUkgqB/W299A4MUVyQTjqSpCR1H4Htv4DWXfHzsjpY+Sooq002lyRJkiRJ0ihYMI+zovw086qL2XOkh50tXayeXZF0JElJyGah8X7YfRdkhyC/CBZdCw2XuomfJEmSJEmasiyYJ8CS2jL2HOlhR3O3BbOUi7pb4JkfQ8fB+HnDOlh8AxSUJJtLkiRJkiTpAlkwT4DFtaX86hnYe6SbwaEs+WlXK0rTXmYAjmyDw5ugdSdEWSgshxUvg5lLkk4nSZIkSZI0JiyYJ0B5UT6zKoo41N7HniPdLK0rTzqSpPGSGYDdd8KBR2EoE78WAsy+JF61nF+UaDxJkiRJkqSxZME8QZbWlXGovY/tTRbM0rTVsh22/Rz6OuLnFXOgbjXUroDCsmSzSZIkSZIkjQML5gmypLaMu7e1sKulm6FsRDoVko4kaaxk+mHLf0PT5vh5eT0sfxnMaEg2lyRJkiRJ0jizYJ4g1aUFVJcW0No9wIG2XuZVu7mXNC30tMKT34GeI5DOh0XXwpz1kHLWuiRJkiRJmv4smCfQktoyWrtb2d7cZcEsTQct22HzLfHc5dIaWPM6KKlOOpUkSZIkSdKEcYndBFpaF89g3dHURRRFCaeRNCqZfjj0FDzxbXjqO3G5XLsCnvc2y2VJkiRJkpRzXME8gepnFFJWmEdnX4amzn7qZxQlHUnSSA10w6474fBTMJSJXwspWHQNLLgSgnPVJUmSJElS7rFgnkAhBJbUlfJ4Yzs7mrosmKWpIJuFA4/E5XKmP36tYi7Ur4Lai6CgNNl8kiRJkiRJCZqUIzJCCC8NIWwJIWwPIfzFad6fH0K4PYTwaAjhiRDCbySRczSW1A6PyWjuSjiJpHPqaYWH/x22/SIul6sXw/PfDc97C8y5zHJZkiRJkiTlvEm3gjmEkAb+N3ATsA94MITwwyiKNp102t8A346i6J9DCKuAnwILJzzsKMytKqEwP0VL1wBHuweoKi1IOpKk0+k8BE/8Fwz0QFEFLLsJZi51FIYkSZIkSdJJJuMK5ucD26Mo2hlF0QDwn8Crn3VOBMwYPq4ADkxgvguSTgUW18SrHl3FLE1SR3fDY9+My+WqhXD5u6BmmeWyJEmSJEnSs0y6FczAHKDxpOf7gCuedc7HgVtDCO8HSoEXne5CIYR3A+8GqK+vZ+PGjWOddVSOdGXZfTBDx+E9dO3OTzqOpJOUdu2hpuXXhChLd+l8mqmDu+9LOpYkSZIkSdKkNBkL5pF4I3BzFEX/FEJ4AfCNEMKaKIqyJ58URdFXgK8ArF+/Prr++usnPulpDGSytN6xg6Eo4vIXLKa0cKr+zyBNI9ks7PwVNB6A0vkwdz0sfZGrliVJkiRJks5iMo7I2A/MO+n53OHXTvYu4NsAURTdBxQBNROSbgwU5KWYP7OEKIKdzd1Jx5E00A2P/wc0PgghFc9btlyWJEmSJEk6p8lYMD8ILAshLAohFAC/A/zwWefsBW4ECCGsJC6Ymyc05QVaUlsGOIdZSlz7fnjo36FtLxSUwiW/G69etlyWJEmSJEk6p0k3myGKokwI4X3Az4E08G9RFD0dQvg74KEoin4IfAj4agjhg8Qb/r09iqIoudTnb3FtKSHA3tYe+jNDFOalk44k5ZYoggOPwvbbIDsEFXNh9WugsDzpZJIkSZIkSVPGpCuYAaIo+inw02e99tGTjjcBV010rrFUUpDH7Mpi9h/tZXdLDytmWWpJEyYzANt/AQefiJ/PXQ9LXggp/6BHkiRJkiTpfEzKgjlXLKktY//RXnY0d1kwSxNhKAMHH4M998BAD6TzYPnLYNaapJNJkiRJkiRNSRbMCVpaW8adW5vZ1dJNZihLXnoyjsSWponDm2DnRuhrj5/PaIjL5fL6RGNJkiRJkiRNZRbMCaooyaemvJCWzn4aj/ayqKY06UjS9JMZgG23wqEn4+elNbDoOqhZ5kZ+kiRJkiRJF8iCOWFLa8to6exnR1OXBbM01joPw6YfQE9rPA5jyY3QcAmk/NsCkiRJkiRJY8GCOWFL6kr59c4j7GzpIorqCK6olC5cFMH+R2DHryCbiVctr3oNlNUmnUySJEmSJGlasWBOWG1ZITOK8+noHeRgex+zK4uTjiRNbYO98MxPoGVb/Hz2pbD0RkjnJ5tLkiRJkiRpGvLviScshMCS2ng0xo7mroTTSFPc0d3w0L/F5XJeIax+Dax4qeWyJEmSJEnSOLFgngSW1JYBsO1wF1EUJZxGmoL62uHp78Nj/wF9HTBjNqx/B9StTDqZJEmSJEnStOaIjElgTmUx5UV5tPcOcqC9jzmOyZBGJoqg8QHYfScMZeKN/OZfCfM3QCqddDpJkiRJkqRpz4J5EkilAhfNmsGDu1vZfKDDglkaiSiCrT+HA4/Gz2tXxLOWiyqSzSVJkiRJkpRDHJExSVzUUA7A1qZOBoeyCaeRJrlsFjb/KC6XU3mw5rXxw3JZkiRJkiRpQlkwTxI1ZYXUzyiifzDLrpbupONIk9dQBjZ9Hw4/HW/et+718eplSZIkSZIkTTgL5klk5fAq5s0HOxJOIk1S2Sxs/iE0b4W8Qrj4jVC1MOlUkiRJkiRJOcuCeRJZMaucVAjsbumhuz+TdBxpcoki2PFLaN4CeQVwyZugYk7SqSRJkiRJknKaBfMkUlKQx8KaErJRxJbDnUnHkSaXxvth30OQSsOa34Ly+qQTSZIkSZIk5TwL5klmVcMMwDEZ0ikOPg47bocQYOUroWpB0okkSZIkSZIE5CUdQKdaVFNKYX6Kpo5+Wrr6qSkrTDqSlJyhQdj+SzjwaPx8yY1QtzLZTJIkSZIkSTrOFcyTTF46xdLaMgC2He5KOI2UoO4WePjmuFxOpWHZi2He5UmnkiRJkiRJ0kksmCeh5fXlAGxvcg6zctThp+Hhf49L5pJqeN7bYO5lSaeSJEmSJEnSszgiYxKaV11CYX6Klq4BWrsHqC4tSDqSNDGyWdi1EfbeHz+ftQaWvQTy/GdAkiRJkiRpMnIF8ySUTgWWHB+T4Spm5YjBXnjy23G5HFLxSIyLXmG5LEmSJEmSNIlZME9Sy+qGC+Ym5zArB3Q1xfOWW3dBfjFc/DvxSIwQkk4mSZIkSZKks3BExiQ1v7qEgrwUzZ39HO0eoMoxGZqump6BZ34MQ4NQXg9rXgdFFUmnkiRJkiRJ0gi4gnmSykunWFJbCsD2ZlcxaxrKZmHnHfD09+NyuX41XPoWy2VJkiRJkqQpxIJ5EltaVw7AtsMWzJpmBvvgqe/CnnvjMRhLb4SVr4R0ftLJJEmSJEmSdB4ckTGJLZgZj8k43NFHe88gFSWWb5oGulvicrmnFfKLYNVroHpR0qkkSZIkSZI0Cq5gnsTy0ykW1cRjMrY1dSacRhoDLdvgka/F5XJZLVz2dstlSZIkSZKkKcyCeZJbMSsek/FYYxuZoWzCaaRRiiLYfTc8+R3IDEDdRXDpW6G4KulkkiRJkiRJugAWzJPc4ppSasoL6ezL8PSBjqTjSOcv0x+PxNh1VzxvefH18ViMvIKkk0mSJEmSJOkCWTBPciEENiyqBuDB3a2uYtbU0tMKj3w9Ho2RVwhrXw8LXhAXzZIkSZIkSZryLJingKV1Za5i1tRzZAc8fHO8qV9pTTxveeaSpFNJkiRJkiRpDFkwTwGuYtaUEkWw5z548v/F4zFqlsHz3gol1UknkyRJkiRJ0hizYJ4iTl7F/JSrmDWZ7boTdm6Mi+ZF18Ca18XjMSRJkiRJkjTtWDBPESEEXrA4XgH60O5WhrJRwomk09hzb/wIKVj9m7DwauctS5IkSZIkTWMWzFPIktoyqksL6OzLsKulK+k40qn2PQQ774gL5ZWvgLqLkk4kSZIkSZKkcWbBPIWEEFgzpwKAp/Y7JkOTyP6HYdsv4uPlL4X61cnmkSRJkiRJ0oSwYJ5iVjaUk04Fdh/ppqNvMOk4ynVRBDtuh623xs+XvghmX5JoJEmSJEmSJE0cC+YppqQgjyW1ZUQRPO0qZiVpKAObboG9v45nLl/0GzDv8qRTSZIkSZIkaQJZME9Ba4fHZDx9oJ2sm/0pCUMZePLb0LQZ0vmw9reg4eKkU0mSJEmSJGmCWTBPQfOqi6kozqezL8Pe1p6k4yjXRBFs+Skc3QOFZXDpW2DmkqRTSZIkSZIkKQEWzFNQCIHVs2cA8OT+9oTTKOfsvQ8OPz28cvkNUF6fdCJJkiRJkiQlxIJ5ilo9p4JUCOxs7qa7P5N0HOWKpmdg5x0QAqx6teWyJEmSJElSjrNgnqLKCvNYWFNCNorYfNDN/jQBju6BZ34UHy++HmqWJRpHkiRJkiRJybNgnsKObfb31P52osjN/jSODj8NT/xXvLlfwzqYd0XSiSRJkiRJkjQJWDBPYQtnllJWmMfRnkH2He1NOo6moyiCPffBph9CdgjmXAbLXxaPyJAkSZIkSVLOs2CewlKpE5v9PX3Azf40xoYGYct/w86N8fOlN8KymyDl/21IkiRJkiQpZlM0xa2eU0EIsO1wF32DQ0nH0XTR1QwP3wwHH4dUHqx+Dcx7viuXJUmSJEmSdAoL5imuojif+dUlZLJu9qcxcuAxeORm6G6BkpnwvLdC3cqkU0mSJEmSJGkSsmCeBta42Z/Gyu574rEYQxmYtRYuezuU1yedSpIkSZIkSZNUXtIBdOGW1JZRUpCmpWuAQx19NFQUJx1JU9Ge+2DXnfEYjOUvhdmXJJ1IkiRJkiRJk5wrmKeBdCqwsiHe7O+p/Y7J0CjsvT/ezC8EuOjllsuSJEmSJEkaEQvmaeLYmIythzvpz7jZn0YoiuJVyzt+FT9f8bJ4NIYkSZIkSZI0AhbM00R1aQFzqooZyGTZeqgr6TiaCgZ64Ilvx3OXQ4AVL4WGi5NOJUmSJEmSpCnEgnkaWTN7eLO/A+0JJ9Gk13EAHv53aN0J+cWw7g0w+9KkU0mSJEmSJGmKsWCeRpbVl1GYn+JQex9NnX1Jx9FkdWQHPPpN6OuAGbNh/TugenHSqSRJkiRJkjQFWTBPI/npFCtnxZv9Pe1mfzqd5q3w1Hchm4GGdXDpm6GoIulUkiRJkiRJmqIsmKeZ1XPignnzoQ4Gh7IJp9GkcngTPP19yA7B3PWw4jcglU46lSRJkiRJkqYwC+Zppq68iFkVRfQPZtl22M3+NOzgE7D5hxBlYf4GWPqieGM/SZIkSZIk6QJYME9DbvanU+x/GJ75CUQRLLoWFl9vuSxJkiRJkqQxYcE8DS2fVUZBXor9R3s50tWfdBwlqfEB2HprfLzkhbDwKstlSZIkSZIkjRkL5mmoMC/NivpyAJ7Y5yrmnLXnXtj+y/h4+Yth/hXJ5pEkSZIkSdK0Y8E8TV08rxKATQc76BscSjaMJt6e+2DnHfFq5Yt+A+ZclnQiSZIkSZIkTUMWzNNUbXkhc6uKGchk2XSwI+k4mkh774edG+NyecVvQMPFSSeSJEmSJEnSNGXBPI1dOr8SgMcb24iiKNkwmhiND8KOX8XHK14GDeuSzSNJkiRJkqRpzYJ5GltcU0Z5UR5tPYPsPtKTdByNt6ZnYPtt8fGKl7pyWZIkSZIkSePOgnkaS6XC8VnMjze2JZpF46yrGZ75cXy85IUw+9Jk80iSJEmSJCknWDBPc2tmV5CXCuxq6eZo90DScTQeBvvgqe/C0CDUr4Z5z086kSRJkiRJknKEBfM0V1yQZsWscgAe39eWbBiNvSiCzT+E3qNQVhfPXQ4h6VSSJEmSJEnKERbMOeCS4TEZmw52MDiUTTaMxk4UwY5fwpEdkF8Ea14L6fykU0mSJEmSJCmHWDDngLoZRcyqKKJ/MMuWQ51Jx9FYiCLYeTs0PgipNKx6NRRXJZ1KkiRJkiRJOcaCOUesm1sBwJP72xNOogsWRbDrDth7P4QUrHoNVC9OOpUkSZIkSZJykAVzjlheX05hfopD7X0c7uhLOo4uxO67Yc99w+Xyq6F2edKJJEmSJEmSlKMsmHNEfjrFqoYZADyxz1XMU9bR3XHBHFKw6lVQd1HSiSRJkiRJkpTDLJhzyLq5lQBsOdRB3+BQsmF0/jID8MxP4+OFV0HdymTzSJIkSZIkKedZMOeQ6tIC5lWXMDgU8Yyb/U09OzdCXzuU1cH8FySdRpIkSZIkSbJgzjXHNvt7Yl8bURQlnEYjdnQP7H84Ho1x0SsglU46kSRJkiRJkmTBnGuW1JZRWpjmSNcA+472Jh1HI5EZgC3DozEWXAnl9cnmkSRJkiRJkoZZMOeYdCqwdk4lAI81tiWaRSO09z7obYtHYyy4Muk0kiRJkiRJ0nEWzDlo7dwK0qnAjuYu2nsHk46js+nrgH0PxMfLX+JoDEmSJEmSJE0qFsw5qKwwj2V1ZUQRPLmvPek4Opvdd8FQBmpXQMXcpNNIkiRJkiRJp7BgzlGXzK8E4Mn97QwOZZMNo9PraoJDT8Yb+y2+Puk0kiRJkiRJ0nNYMOeoWTOKqJ9RRN/gEFsOdSYdR6ezcyNEEcy+FEqqk04jSZIkSZIkPYcFc44KIXDJvEog3uwviqJkA+lUrbvgyA7IK4CFVyWdRpIkSZIkSTotC+Yctry+jJKCNM2d/ew72pt0HB0z2Atbfx4fz38BFJQmm0eSJEmSJEk6AwvmHJaXTnHx8Crme3e0uIp5MshmYdMt0HsUyupg7uVJJ5IkSZIkSZLOyII5x106v5KSgjQH2vrY3tSVdBzt/FU8HqOgBNa8DtL5SSeSJEmSJEmSzsiCOccV5qXZsHgmAHdvb2Eo6yrmxBx6EhofhJCC1b8JxZVJJ5IkSZIkSZLOyoJZrJlTQXVpAW09gzyxry3pOLmpfT9s+Vl8vOwmqJyfbB5JkiRJkiRpBCyYRToVuGppDQD372qlb3Ao4UQ5pr8Tnv4eZDMw53nxQ5IkSZIkSZoCLJgFwJLaUuZUFtM7MMTDe44mHSd3DA3CU9+F/q541fLSFyWdSJIkSZIkSRoxC2YBEELgmuXxKubHGtvoHXAV87iLItjy39BxEIoqYPVrIJVOOpUkSZIkSZI0YhbMOq6hopiFNSUMZLI82ugq5nG3/2E4/DSk82DN66CgNOlEkiRJkiRJ0nmxYNYpnr9oJhCvYnYW8zjqPgI7bo+PL3oFlNcnm0eSJEmSJEkaBQtmnWJOZTFzq4rpH8zyeGNb0nGmp2wWnvlRvKnfrLVQtzLpRJIkSZIkSdKoWDDrOTYsjlcxP9rYxkAmm3Caaajx1/Hc5cJyN/WTJEmSJEnSlGbBrOeYW1XM7MoiegeGeHJ/W9JxppfOw7D77vj4ot+A/KJk80iSJEmSJEkXwIJZzxFCOD6L+eE9R8kMuYp5TAwNDo/GGII5z4PqxUknkiRJkiRJki6IBbNOa+HMEmrLC+nuH2JHc3fScaa+KIItP4WuZiiphsU3JJ1IkiRJkiRJumAWzDqtEAKrZ88AYPPBjoTTTAP7HoLDmyCdD6tfC3kFSSeSJEmSJEmSLpgFs85oxaxyUiGw50gP3f2ZpONMXUd3w45fxccXvQLKahONI0mSJEmSJI0VC2adUUlBHgtrSshGEVsOdyYdZ2rqa4dNt0CUhfkboO6ipBNJkiRJkiRJY8aCWWe1qsExGaM2lIGnvgcDPVC9CBZdl3QiSZIkSZIkaUxZMOusFtWUUpifoqmjn+bO/qTjTB1RBNt+Dp2HoKgCVr4KUv7jJkmSJEmSpOnFxktnlZdOsaK+HIBnDrmKecQOPAIHn4B0Hqx5HRSUJJ1IkiRJkiRJGnMWzDqnlcNjMp452Ek2GyWcZgpo3wfbfxkfr/gNKK9PNo8kSZIkSZI0TiyYdU4NFUVUluTT1Z+h8WhP0nEmt2wWnvkpZIdg7uVQvzrpRJIkSZIkSdK4sWDWOYUQjq9ifnD3UaLIVcxndOgJ6DkCxVWw5Iak00iSJEmSJEnjyoJZI3Lx3EqK8tM0tvawo7kr6TiT01AGdt8dHy+6BlLpZPNIkiRJkiRJ48yCWSNSXJDmBUtmAnDH1hYGh7IJJ5qEDjwC/Z1QVgd1q5JOI0mSJEmSJI27SVkwhxBeGkLYEkLYHkL4izOc84YQwqYQwtMhhG9NdMZctG5OBTXlhXT0DvLInqNJx5lcMv2w5974ePH1EEKicSRJkiRJkqSJMOkK5hBCGvjfwMuAVcAbQwirnnXOMuAvgauiKFoN/MlE58xFqVTg+uW1ADy4u5WOvsGEE00ijffDYC9UzoPqxUmnkSRJkiRJkibEpCuYgecD26Mo2hlF0QDwn8Crn3XO7wP/O4qiowBRFDVNcMacNa+6hGX1ZQwORdy9rSXpOJNDfyc0PhAfL7rO1cuSJEmSJEnKGZOxYJ4DNJ70fN/waydbDiwPIdwTQvh1COGlE5ZOXLOslrxUYMuhTo52DyQdJ3nbb4OhQahZFq9gliRJkiRJknJEXtIBRikPWAZcD8wF7gwhrI2iqO3kk0II7wbeDVBfX8/GjRsnNuU0ljmSYXd7lq8d3csldVP11+jCFfccoP7wHWRTaQ5k1pI5sjHpSJIkSZIkSdKEmYzN4H7g5GWgc4dfO9k+4P4oigaBXSGErcSF84MnnxRF0VeArwCsX78+uv7668crc85Z09XPN+7bQ146sOGqxRTlp5OONPGGBuGBr0LxQljyQhbPvyLpRJIkSZIkSdKEmowjMh4EloUQFoUQCoDfAX74rHN+QLx6mRBCDfHIjJ0TmDHn1ZQVsmBmCYNDEU/tb086TjJ23w197VBWC3PXJ51GkiRJkiRJmnCTrmCOoigDvA/4ObAZ+HYURU+HEP4uhPCq4dN+DhwJIWwCbgf+PIqiI8kkzl2Xzq8C4LHGNoayUcJpJlhXc7yxXwiw/GWQysEV3JIkSZIkScp5k3FEBlEU/RT46bNe++hJxxHwp8MPJWThzBKqSwto7R5ge1MXK2aVJx1pYgxlYPMtEGVh9qVQ8ew9KCVJkiRJkqTcMOlWMGvqCCFw6fxKAB7dezTZMBNpx6/iFczFVbDkhqTTSJIkSZIkSYmxYNYFWdkwg6L8NAfb+zjQ1pt0nPHXvBX2PxyPxFj1asgrTDqRJEmSJEmSlBgLZl2Q/HSKdXMrAHhwd2vCacZZXzts+Ul8vPh6mNGQaBxJkiRJkiQpaRbMumCXzq8kPx3Y2dxNU0df0nHGx1AGNt0Cg30wcynMvTzpRJIkSZIkSVLiLJh1wUoK8lg3txKA+3dNw1XMUQRbfwbt+6GwHC76DQgh6VSSJEmSJElS4iyYNSYuW1BFXiqwvamL5s7+pOOMrb2/hkNPQjoP1v4WFJQmnUiSJEmSJEmaFCyYNSZKC/NYMzyL+YHptIq5eQvs3Bgfr3wVlM9KNI4kSZIkSZI0mVgwa8ysX1BFOhXY1tTJka5psIq5+whs/mF8vPh6qF2RaBxJkiRJkiRpsrFg1pgpL8pn9ewZRBE8uHuKr2KOIth+W7y5X/0qmL8h6USSJEmSJEnSpGPBrDG1fmE1qRB45lAnbT0DSccZvdad8SOvEJa+yE39JEmSJEmSpNOwYNaYqijOZ2VDOVE0hWcxZ4dg+y/j44VXu6mfJEmSJEmSdAbjUjCHEGpCCC8NIbw6hFA9HvfQ5PX8RdWEAJsPdtLeO5h0nPO3/xHoOQIl1TDnsqTTSJIkSZIkSZPWqArmEMKGEMK3QggfOc17bwZ2Aj8BvgfsDSH87oXF1FRSWVLARbPKyUYRD021WcwDPbD7rvh4yQshlU42jyRJkiRJkjSJjXYF85uB3wY6Tn4xhLAU+DegDMgA/UAJcHMIYc0F5NQUc/nCeBXz0wc66OybQquY99wDmX6oWggzlyadRpIkSZIkSZrURlswXz389UfPev0PgDzgDmAmUAl8e/i1D4zyXpqCZpYVsqyunKFsxEN7jiYdZ2R62+DAo/GGfktvdGM/SZIkSZIk6RxGWzDPAoaA/c96/eVABHwsiqKuKIoGgGNjNK4b5b00RT1/UTx++6l97VNjFfOee+IN/upWQVld0mkkSZIkSZKkSW+0BXM10BlFUXTsheHN/C4iHptx17HXoyjaA/QAcy8gp6ag2vJCltWXkclG3LvjSNJxzq77CBx6EkIKFl597vMlSZIkSZIkjbpg7gYqQggFJ712bIXyfScXz8MGiFc8K8dcvbSGdCqw+WAHTR19Scc5s913QhRBwzooqU46jSRJkiRJkjQljLZg3gQE4HUnvfZ24vEYG08+MYRQBlQAB0d5L01hlSUFXDyvkiiCO7e18Nw/e5gEOg9D0zOQSsOCK5NOI0mSJEmSJE0Zoy2Yv01cMH8lhPC/QwjfA14JZID/eta5Vw6fu23UKTWlXbGomqL8NI2tPexs6U46znPtujP+Ovt5UFSRbBZJkiRJkiRpChltwfwl4E6gFHgP8Jrh1/9ueObyyX6HeGXzr0Z5L01xRflprlgcj524a2szQ9lJtIq5ZRsc2Q7pPJi/Iek0kiRJkiRJ0pSSN5oPRVE0GEK4EfhdYAPxxn7/HUXRnSefF0LIB4qBHwI/usCsmsIunlvJE41tHO0Z5Kn97Vw8rzLpSNDfBVt+Gh8vug4Ky5LNI0mSJEmSJE0xoyqYAaIoGgK+Mfw40zmDwBtHew9NH+lU4KqlNfz4iYM8uLuV1bNnkJce7QL6MRBFsPVnMNADVQtg7uXJZZEkSZIkSZKmqAQbPuWapXVl1JQX0tmXYdPBjmTDHHwsHo+RVwgXvRxCSDaPJEmSJEmSNAWNegUzQAghAL8J3ATMA4qjKLrxpPdLgcuAKIqiuy7kXpr6QghsWFTNj584yAO7Wlk9u4J0KoFit6cVtv8yPl7+Ejf2kyRJkiRJo9bf309rayudnZ0MDQ0lHUcCoKCggJqaGioqxr/3GnXBHEJYBnwPWAUcawmfvXtbH/CvwOIQwnVRFN092vtpelhaV8bMsgKOdA2w+WAHa+ZMcLkbRfHc5aFBqFsJ9asn9v6SJEmSJGna6O/vZ+/evVRVVbFw4ULy8/MJ/i1pJSyKInp7e9m3bx+FhYUUFRWN6/1GNSIjhFAF3AasBp4EPkq80d8phuc0/zNxAf260cfUdBFC4IpFMwG4f1crQ9ln/5nEODvwKLQ1QkEJLHvxxN5bkiRJkiRNK62trVRVVVFTU0NBQYHlsiaFEAIlJSXU1NTQ3Nw87vcb7QzmDxGPxPg5sD6Kok8AvWc494fDX68c5b00zSyrK6O6tICO3kE2T+Qs5r522Hn7cIgXxyWzJEmSJEnSKHV2djJjxoykY0inVV5eTl9f37jfZ7QF86uJx2F8KIqizNlOjKJoOzAALB3lvTTNpFKB5y+qBuCBXa0MDmXH/6ZRBFtvhcwA1CyD2ovG/56SJEmSJGlaGxoaIj8/P+kY0mnl5eWRyZy1uh0Toy2YFwF9URRtGuH5nUD5KO+laWhFfTk15YW09w5y/87W8b/h4afhyHbIK4w39vOvrEiSJEmSpDHgWAxNVhP1uznagjka6WdDCHnADE4zo1m5K5UKvGhlHSHAw3uO0tzZP343G+yF7bfFx0tvhEL/rEOSJEmSJEkaC6MtmHcBBSGExSM490YgH9g8yntpmmqoKObiuZVko4jbNh8mO14b/u26Ky6ZK+fBrHXjcw9JkiRJkiQpB422YP4JEIAPnu2kEEIp8GniFc+3jPJemsauXDqT8qI8DrX38di+trG/QedhOPAIhBQsczSGJEmSJEmSxtbb3/7254yjON1rZxNC4O1vf/sYJ5sYoy2Y/wk4Crw3hPCJEMLMk98MIZSHEF4PPASsAQ4A/3xBSTUtFealueGiOgDu23GEjr7Bsbt4FMG2n8df51wGZbVjd21JkiRJkqQcs3PnTt797ndz0UUXUVJSQlVVFStXruRtb3sbt99+e9LxxtXNN9/M5z//+aRjTEp5o/lQFEUtIYRXAz8C/hL4CPGKZkIIrcQzl8PwoxV4TRRF3WOSWNPOktoyltaVsb2pi/t3tnLTqvqxufDhp6B9PxSUwsKrx+aakiRJkiRJOeihhx7iuuuuIz8/n7e+9a2sXr2a3t5etm3bxq233kp5eTk33HBD0jHHzc0338zu3bv5kz/5k+e899WvfpUvf/nLEx9qkhhVwQwQRdHdIYSLgX8AfgsoGH6rcvhrBvgu8BdRFO25kJCa/q5aWsOO5i42Hejg8oVVVJYUnPtDZzPYBzuG/+RsyQ2QX3ThISVJkiRJknLU3/7t39LT08Njjz3GxRdf/Jz3Dx06lECqySE/P5/8/PykYyRmtCMyAIiiaG8URW8GqoBrgd8G3gi8EKiOouiNlssaierSAlY2zCAbRdy/q/XCL9h4Pwx0Q8UcqF9z4deTJEmSJEnKYdu2bWPmzJmnLZcBZs2aBcDu3bsJIfDxj3/8Oed8/OMfJ4TA7t27j7/W2NjIO9/5ThYsWEBhYSF1dXVceeWVfO1rXzvls1EU8dWvfpUrrriCsrIyysrKWLt2LR/96EdPOa+/v59/+Id/YPXq1RQVFVFZWckrX/lKHn300VPO27hxIyEEbr75Zr7whS+wfPlyioqKWL58OV/4whdOOXfhwoXccccd7NmzhxDC8cfGjRuBs89bbm5u5q1vfSszZ86ktLSUG2+8kUceeeS0557Obbfdxotf/GIqKyspKipi3bp1k2619KhXMJ8siqJe4O6xuJZy14ZFM3nmYCebD3Zw+cJqqktHuYq5vwv2PRAfL3mhG/tJkiRJkiRdoCVLlrBlyxa+973v8drXvnZMrpnJZLjpppvYv38/733ve1m+fDnt7e088cQT3HXXXbztbW87fu5b3vIWvvnNb3LFFVfw13/911RWVvLMM8/wne98h7/7u78DYHBwkJe+9KXce++9vOUtb+F973sf7e3tfPWrX+Wqq67izjvvZP369adk+MIXvsChQ4f4gz/4A8rLy/mP//gP/viP/5jW1lY+9rGPAfD5z3+ev/zLv6SlpYXPfe5zxz+7cuXKc36PL33pS6murubjH/84hw4d4otf/CLXXXcd9913H2vWnH1R5Fe+8hXe8573sGHDBv76r/+a0tJSfvGLX/CHf/iH7Nixg09/+tMj/lmPpzEpmKWxUFGSz+rZM3hyfzv37zzCy9Y2jO5Ce+6FoQzULIOKuWMbUpIkSZIk6Rw+94utSUc4rQ/etHzUn/2bv/kbfvGLX/C6172OZcuWcfXVV3P55Zdz/fXXj6hoPZ1NmzaxZcsWPvnJT/LhD3/4jOd9+9vf5pvf/CZvfvOb+drXvkYqdWIoQzabPX78xS9+kY0bN/Kzn/2Ml7zkJcdff+9738uaNWv4sz/7s+Orjo/ZunUrmzdvZu7cuEP6oz/6I66++mo+8YlP8K53vYu5c+fymte8hs9//vP09vby5je/+by+xwULFvDd7373+Arn1772tVx++eX82Z/9GT/72c/O+LmDBw/yx3/8x/zO7/wO3/rWt075Xj7wgQ/w2c9+lj/8wz9k8eLF55VnPJxzREYIYf5YPSbiG9LUdvmiatKpwJbDnbR09Z//BXqPwsHH4lXLi64b83ySJEmSJEm56AUveAEPP/wwb3vb22hvb+ff//3fee9738uqVau49tpr2blz53lfs6KiAoDbb7+dpqamM573zW9+E4DPfOYzp5TLwCnP/+///b9cdNFFXHbZZbS0tBx/DAwMcNNNN3H33XfT29t7yuff9KY3HS+XAQoKCvjgBz9IJpPhRz/60Xl/T8/24Q9/+JTxGZdddhk33XQTt912G11dXWf83He+8x36+/t517vedcr30tLSwitf+Uqy2Sy33XbbBecbCyNZwbxrjO4VjfB+ymEVxfmsmTODxxvb+fXOI7xi3ezzu8DuuyE7BLPWQFnt+ISUJEmSJEk6iwtZKTyZrV27lptvvhmAPXv2cMcdd/Av//Iv3HXXXbz61a/m4YcfPq/rLViwgL/+67/mH//xH2loaOCSSy7hxhtv5PWvfz2XX3758fO2bdtGQ0MD9fX1Z73e5s2b6e3tpbb2zJ1QS0sL8+bNO/78dKuvV61aBTCq0vzZznT9W2+9lT179rB69erTfm7z5s0AvOhFLzrjtQ8fPnzB+cbCSArfsRpg6yBcjcjlC6t5en8H2w530dTZR1150cg+2NUMh5+GVBoWXj2+ISVJkiRJknLYggULeOtb38pb3vIWrrnmGu655x4eeOCBU8rbZ8tkMs957ROf+ATvfOc7+clPfsJdd93Fv/zLv/DpT3+aD3/4w3zyk588r0xRFLF27Vo++9nPnvGcs5XPk0kURQB8/etfp6Hh9GNkJ8N4DBhBwRxF0WnHaIQQfhP4N2A/8BngjuFjgNnAdcCHgLnAO6Mo+sEY5FUOKC/KZ+3cCh7d28avd7byqotHsIo5imDHr+Kvsy+B4qpxzylJkiRJkpTrQghcccUV3HPPPezfv5+LL74YgNbW1uece6YVwYsXL+b9738/73//++nr6+MlL3kJn/rUp/jQhz5EXV0dy5cv55ZbbuHw4cNnXcW8bNkympubeeELX/icURpncmyl8Mk2bdp0PNfJ3+dobN68mQ0bNjzn+ul0mgULFpzxc8uWLQOgpqbmrKuYJ4OR/aSfJYSwAfhP4F7geVEU3RxF0a4oigaGH7ujKPoacBlwH/BfIYQrxi62prvLF1aTnw7saOricEffuT/Q/Ay07oS8Qlhw5fgHlCRJkiRJyiG/+MUvTrsCube3l1tvvRWIRz+Ul5cza9YsfvWrXx1fhQtxufyDH/zglM+2t7czODh4ymtFRUXHx0ocPXoUiOckQzzP+ORN/YBT7vHWt76VQ4cOnXEF8+lGSnzzm99k3759x58PDAzwuc99jnQ6zSte8Yrjr5eVlXH06NFT7jcSn/rUp075zCOPPMJtt93GjTfeSFlZ2Rk/94Y3vIHCwkI+9rGPPWduNMQ/u/7+UexfNg5GOxP5r4Y/+94oigbOdFIURYMhhD8Cdg5/5tWjvJ9yTGlhHhfPq+Sh3Ue5b8cRXnPpnDOfPNgH234RHy++HgrP/A+nJEmSJEmSzt8HP/hBjhw5wqte9SrWrl1LSUkJjY2NfOtb32Lr1q289a1vZe3atQC8733v42/+5m942ctexmte8xoOHDjAl7/8ZdasWcODDz54/Jq333477373u3nd617HihUrKCsr4+GHH+Zf/uVfuOKKK1ixYgUAr3/96/nt3/5tvv71r7Nt2zZe9apXUVVVxdatW/n5z3/OU089BcAHPvABfvGLX/Dnf/7n/OpXv+KFL3whM2bMYO/evfzyl7+kqKiI22+//ZTva/ny5VxxxRW85z3voby8nG9961s8+OCD/I//8T9OGfexYcMGfvzjH/O+972PK6+8knQ6zQtf+ELq6urO+nPbs2cPL3nJS3jVq17FwYMH+eIXv0hxcTGf/vSnz/q5uXPn8s///M/83u/9HitXruQtb3kLCxYsoLm5mSeffJIf/OAHbNq0iYULF474f8PxMtqCeQPQFkXRnnOdGEXR7hBCG/CCUd5LOWr9gmqe2NfOrpZuDrT1Mruy+PQn7roTBrqhYg7MvnRiQ0qSJEmSJOWAz372s9xyyy3cfffdfPe736WtrY2KigrWrVvHRz7yEd7+9rcfP/cjH/kI7e3tfOMb32Djxo2sWrWKf/3Xf+Xhhx8+pWC++OKLee1rX8vGjRv55je/ydDQEPPnz+ev/uqv+NCHPnTK/b/1rW9xzTXX8K//+q/83d/9Hel0mkWLFvH617/++Dn5+fn85Cc/4Utf+hLf+MY3+NjHPgbA7Nmzef7zn8/b3va253xf73//++no6OALX/gCe/fuZf78+Xz+85/nAx/4wCnnffCDH2Tnzp185zvf4ctf/jLZbJbbb7/9nAXzz372M/70T//0+ErkDRs28OlPf5p169ad82f+jne8g+XLl/OZz3yG//N//g9tbW3U1NSwYsUK/uf//J/MmjXrnNeYCOF8l3UDhBB6gDRQEUXRWecXhBCKgA5gMIqi0lGlHAPr16+PHnrooaRur1G6d3sL9+9qZX51Ca+7bO5zT+g4AI98HQiw/h1QdvZ/qCVJkiRJksbK5s2bj49z0NSyceNGbrjhBv793//9lHJ8uhnJ72gI4eEoitaP9h6jmsEMbCVe/fyHIzj3D4fP3TrKeymHPW9BFQV5Kfa29rC7pfvUN7NZ2PqzeGO/eZdbLkuSJEmSJEkTbLQF878CAfhUCOF/hBDKn31CCKEshPDXwCeBCPiX0cdUrirKT3PFomoA7tjazFD2pBX3TZug8zAUzYAFVyeUUJIkSZIkScpdoy2Yvwj8kHhMxseBwyGEe0MI3xl+3As0AX9HvHr5FuBLY5BXOejS+VVUleTT2j3AY41t8YvZLOy5Jz5eeDXkFSSWT5IkSZIkScpVo9rkL4qiKITwOuAvgA8D5cQb/z1bB/Ap4JPRaIY9S0A6Fbh2eS23PHaAX+88wsqGckqObIKeViiugvq1SUeUJEmSJEnSFHL99ddjXTk2RlUwA0RRNAT8fQjhc8CLgecBtcNvNwOPALdGUdRzwSmV8xbXlrGoppRdLd3cs7WJm7pOWr2cGu1CfEmSJEmSJEkXYtQF8zHDBfIPhh/SuLl2eS17W3to3v4gXUUtlFXVQ92qpGNJkiRJkiRJOculn5oyqksLuGROGbPbHqWxtcfVy5IkSZIkSVLCLngFcwihDPgNTj8i46dRFHVd6D2kY64o2svjUTcHMlWU5y9gbtKBJEmSJEmSpBw26oI5hBCAvwQ+ApSd4bSuEMI/4iZ/GgsDPRQ23kNDRRGb0utp3dnKb1WVEP8qSpIkSZIkSZpoF7KC+WbgzUAA+oCHgX3D780FLgPKgb8HVgJvu4B7SbDrTsj0U79wJb3tizl6tJd9R3uZV12SdDJJkiRJkiQpJ41qgG0I4bXAW4af/iMwK4qia6IoeuPw4xpgFvD/Gz7nzSGE37zwuMpZnYfh4GMQUhSseDGXLawG4N4dLbg4XpIkSZIkSUrGaHdIezcQAX8TRdFfR1HU8ewToijqiKLor4D/QbzK+d2jj6mcFkWw/Rfx1zmXQWkNF8+roLggzYG2PvYc6Uk6oSRJkiRJkpSTRlswXwYMAf9rBOf+r+Fz14/yXsp1TZuhrREKSmDh1QAU5qVZv6AKgHt2tJDNuopZkiRJkiRpMvvOd77DxRdfTHFxMSEENm7cmHSkUVu4cCHXX3990jEmhdEWzOVAZxRF51w6GkVRN9Ax/Bnp/AxlYOft8fGi6yC/6PhbF8+rpLwoj6aOfp7c355QQEmSJEmSpOlv48aNhBD4zGc+M6rPb926lTe+8Y1UVFTwxS9+kW984xusXLlyjFPGNm7cyMc//nHa2trG5fo61WgL5iagMoQw+1wnhhDmAJVA8yjvpVx26HHo64DSGpi17pS38tMprlteC8Dd21vo6s8kkVCSJEmSJEnnsHHjRjKZDJ///Od517vexZvf/Gbq6+vH7V5/+7d/a8E8QUZbMN85/PWzIYRwjnM/O/x14yjvpVw1NAh77o2PF10Lqef+ui6tK2NxbSkDmSx3bvXPMCRJkiRJkiajQ4cOAVBdXZ1wEo210RbMnyHe5O/1wMYQwktDCCXH3gwhzAwh/FYI4UHgt4As8E8XnFa55cBj0N8FZXVQs/y0p4QQuH5FHfnpwJZDnexu6Z7YjJIkSZIkSTlo9+7dhBD4+Mc/zo9//GMuv/xyioqKaGho4M///M/JZE78TfMQAh/72McAWLRoESEEFi5cePz99vZ2PvKRj7B06VIKCwupra3ljW98Izt37nzOfQcGBvjUpz7FJZdcQklJCRUVFaxfv54vfvGLALz97W/nb//2b0+517Gco7lfY2Mjb3jDG6ioqGDGjBm88pWvZMeOHWPxI5w28kbzoSiKHgshvBf4EnA18BMgCiG0A4VA8fCpgbhc/qMoih678LjKGZkB2HvS6uWzLJSvKM5nw+KZ3LWthV8908RbXrCA/PRo/+xEkiRJkiRJI/XTn/6UL33pS7znPe/hne98J7fccguf+cxnqKqq4q/+6q8A+MY3vsH3vvc9vv/97/O5z32OmpoaysrKgLjsvfLKK9m7dy/vfOc7Wb16NQcPHuRLX/oSV1xxBQ899BALFiwA4nL5JS95CRs3buTFL34xb37zmykqKuLJJ5/ke9/7Hu973/v4gz/4Azo6Ok65F8C6devO+35tbW1ce+21NDY28p73vIdVq1Zxxx13cMMNN9Db2zvRP+pJa1QFM0AURV8JITwF/E/geuLV0FUnnwL8CvgfURTddyEhlYMOPAIDPTCjAWYuPefpl86vYvOhTlo6+3mssY3LF/rXLSRJkiRJUkJu/8ekE5zeDX855pd8+umnefrpp4+vSH7Pe97D2rVr+cIXvnC8YH7zm9/M9u3b+f73v89rXvOaU1Yvf/SjH2Xnzp38+te/5uKLLz7++tvf/nbWrl3Lxz72MW6++WYAPv/5z7Nx40b+8i//kn/4h384JUc2mwXgBS94AevWrTvtvc73fp/61KfYvXs3//Zv/8Y73vEOAN773vfyJ3/yJ/yv//W/LvRHN21c0DLPKIrujaLoRqAGeBHwxuHHi4CaKIpeZLms85bph72/jo8XXnPW1cvHpFOB65bFG/49uLuVvsGh8UwoSZIkSZIkeE6JG0Lghhtu4NChQ3R1dZ31s1EU8c1vfpNrr72WOXPm0NLScvxRWlrKhg0buPXWW4+f/81vfpOqqio++tGPPudaqdPs3XWh9/vBD35AfX09b33rW0+5zkc+8pFz3iuXjHoF88miKDpKvFpZunD7HoLBXqiYA9WLR/yx+TNLmFddQmNrDw/tPsrVy2rGMaQkSZIkSdIZjMNK4clq8eLndjczZ84E4MiRI8dHYZxOc3MzR44c4dZbb6W2tva055xcHG/bto1LLrmEoqKiUWU93/vt3LmTyy+/nHQ6fco5DQ0NVFZWjirDdDQmBbM0Zgb7oPH++Pgcs5dP5+qlNfzHA3t5rPEol8yvpKzQX3FJkiRJkqTx8uzy9WRRFJ31s8fef9GLXjQhq4In+n65wvZNk8u+B+MRGZXzoXLBeX98VkURS+vK2N7UxQO7jvDCi+rHIaQkSZIkSZIuVG1tLZWVlXR0dPCiF73onOcvX76cZ555hv7+fgoLC894XjjDgsXzvd/ixYvZtm0bQ0NDpxTpBw8epK2t7ZyfzxUjmsEcQtg5Bo8d4/3NaIob7IV9D8THi0Y2e/l0rlwykxDgyX0dtPUMjGFASZIkSZIkjZVUKsWb3vQmHnjgAb7zne+c9pympqbjx29605s4evQon/jEJ55z3smrpY+N5Whtbb2g+7361a/m8OHDfP3rXz/lnE9+8pPn+M5yy0hXMC8cg3udfU281Hg/ZAagelG8gnmUZpYVsrJhBpsOdHDP9iO8fF3DGIaUJEmSJEnSWPn7v/977rnnHt7whjfwhje8gQ0bNlBQUMCePXv46U9/ymWXXcbNN98MwAc+8AF+9KMf8YlPfIIHH3yQF7/4xRQVFfH000+zZcsWbrvtNgA2bNgAxJvxvelNb6KoqIg1a9awZs2a87rfhz/8Yb71rW/x+7//+zz88MOsXr2ajRs3ct9991FT495fx4y0YP79UV7/NcDLR/lZ5ZKB7nhzP4CF11zw5V6wZCbbDney9XAn61ormFddcsHXlCRJkiRJ0tiqqKjgnnvu4Z/+6Z/49re/zS233EJeXh5z587l6quv5vd+7/eOn1tQUMCtt97KP/3TP/Gtb32Lv/qrv6KoqIhly5bxjne84/h5V111FZ/85Cf58pe/zO///u+TyWT42Mc+xpo1a87rflVVVdx111386Z/+6fFVzNdddx233347N95448T9kCa5cK5h26O6aAg3AZ8A1gMB6AP+OYqiD435zUZo/fr10UMPPZTU7XUu226L5y/PXALr3jAml7x/5xHu3XGEmrICfveKBaRToxu5IUmSJEmSdDqbN29m5cqVSceQzmgkv6MhhIejKFo/2nuMaAbzSIUQrgohbAR+BlwOZID/AyxNslzWJNd5CPY/FM9cXnTtmF32sgVVVJbk09I1wGONbWN2XUmSJEmSJEmxMSmYQwiXhRD+G7gTuBbIAl8HVkRR9IdRFB0Yi/toGspmYctPIYpgznoonzVml85Lp7hueS0Av955hO7+zJhdW5IkSZIkSdIFFswhhFUhhO8CDwAvGX75/wFroih6exRFuy8wn6a7/Q9B52EomjGmq5ePWVxbxuLaUgYyWe7a1jLm15ckSZIkSZJy2agK5hDCkhDCN4DHiTfyC8CPgedFUfTbURRtGbuImrZ6j8KuO+Lj5S+FvIJxuc11y2vJSwU2H+ygsbVnXO4hSZIkSZIk5aLzKphDCHNDCF8BNgG/C6SBXwEboih6VRRFj49DRk1HUQRbb4WhDNStjDf3GyeVJQU8f1E1AL/YdJiBTHbc7iVJkiRJkiTlkhEVzCGEuhDC54FtwLuAfOBe4IYoim6KouiB8YuoaaltD7TuhLxCWPqicb/d+oXV1JQX0t47yH07j4z7/SRJkiRJkqRcMNIVzDuB9wOFwCPAy6IouiaKojvGLZmmt913x1/nb4DCsnG/XToVePGqekKAR/ce5WB777jfU5IkSZIkTX9RFCUdQTqtifrdzBvheSVANPyYC/x7COF87xVFUTTnfD+kaejoHmhrjFcvz7lswm5bP6OIyxZU8dDuo/xi02F+9/nzyUtf0D6XkiRJkiQph6XTaQYHBykoGJ99paQLkclkyMsbaf07eudzh2ONcv0o7+Uf5yi2557467znxyXzBNqweCbbm7o40jXA/btauWppzYTeX5IkSZIkTR/l5eV0dHRQU2O/oMmns7OToqKicb/PSAvmd4xrCuWOtsZ4BXNeAcxZP+G3z0+nuGlVPd95eB8P7m5lUU0psyuLJzyHJEmSJEma+qqrq9m7dy8AM2bMID8/n1H8rX9pTEVRRG9vLy0tLcyfP3/c7zeigjmKoq+NdxDliGOrl+deDvnj/ycopzO3qoT1C6p5cHcrP3vqEG/aMJ/CvHQiWSRJkiRJ0tRVWFjI/PnzaW1tZffu3QwNDSUdSQLi3836+vpJtYJZunDt+6F1V7x6ee7liUbZsLia3Ue6ae7s586tLdy0arSTXyRJkiRJUi4rLCykoaGBhoaGpKNIiRj1DmchhNeGEN46lmE0jUUR7PhVfDznMshPdixFXjrFS9fMIi8VeGp/OzuauxLNI0mSJEmSJE1Foy6YgX8C/m2sgmiaa9kK7fviYnnehqTTAFBTVsiVw5v8/WpzE4ND2YQTSZIkSZIkSVPLhRTMAM+ZWh5COBhCyFzgdTWdDGVgx+3x8aJrEpu9fDrPm19J/YwiuvozPN7YlnQcSZIkSZIkaUoZUcEcQrgrhPAPIYSXhxAqR/KRC4ulaeXAI9B7FEproOHSpNOcIoTAlUtmAvDg7qP0ZxzGL0mSJEmSJI3USFcwXwX8BfBDoCWE8CRQBxBCmD1O2TQdDPTA7rvj48U3QOpCF82PvQUzS5hTWUzf4BCP7GlLOo4kSZIkSZI0ZYy07ZsD/A7wJeApYCVQTLxSuTGEsDOE8LUQwu8DBeOSVFPTnnsg0w9VC2HmkqTTnFYIgSuXxquYH9l7lN4BVzFLkiRJkiRJIzGigjmKooNRFH07iqL3R1F0CVADHAQi4NfAbOAtwJeBKoAQwndDCH8SQrg0hODIjFzU1wEHHoUQYMkL46+T1NyqEhbMLGEgk+WhPa1Jx5EkSZIkSZKmhFHNK4iiqA0YGD6+CqgEbgA+BvQOn/abwGeBh4DWEMKPLzCrpprG+yE7BLUroLw+6TTndOWSGgAeb2yjq999KiVJkiRJkqRzGekmfx8KITw/hJA+3ftRFPVFUXRHFEWfADqGX14PfAj4ATAIvGwM8mqq6O+CA4/FxwuuSjTKSM2qKGJpXRmDQxH3bm9JOo4kSZIkSZI06eWN8LxPE4/D6A0h3AfcDZSe7QNRFD0CPAJ8DiCEcNEF5NRU03g/ZDNQswzK6pJOM2JXL61hV0s3mw52cPG8SupnFCUdSZIkSZIkSZq0Rjoi40+A7wLtwI3EozBqAEIID4YQ/imE8KoQwswzXSCKomcuMKumioGeePYyTJnVy8dUlRZwybxKogju2NpMFEVJR5IkSZIkSZImrZFu8vf/RVH0hiiK5gBLgXcQl80AlwEfBL4PNAF1ACGE3w0hzBv7yJr09j0AQ4MwcwnMaEg6zXl7/qJqigvS7D/ay7amrqTjSJIkSZIkSZPWeW/yF0XRziiKvga0Db80C/ht4IvAEyed+g1gdwhhVwjh6yGEd11oWE0Bg72w/+H4eMGVyWYZpaL8NFcuiRfj37WthcxQNuFEkiRJkiRJ0uR03gXzs0VR1BRF0f+LougDURRdSryKGeDvgXuIC+g3A1+50HtpCtj3EGQGoGohVMxNOs2orZldQU15IR29gzywuzXpOJIkSZIkSdKkdMEF85lEUfTRKIquBSqBG4jnNms6y/TDvgfj4ym6evmYVCpw/fJaAB7Y1cp2R2VIkiRJkiRJz3EhBfP9wJ3nOimKov4oiu6IougTF3AvTQX7H45L5sp5ULUg6TQXbF51CVctrSGK4GdPHaSpoy/pSJIkSZIkSdKkMuqCOYqi34mi6IbTvBUuII+mqswAND4QHy+4KtksY+jyhVWsbJjB4FDEDx8/QFd/JulIkiRJkiRJ0qQxHiMy1gOLx+G6mswOPBpv8Ddjdjx/eZoIIfCilXXMqSymsy/Djx4/4KZ/kiRJkiRJ0rAxL5ijKNoXRdGesb6uJrGhQWi8Pz5eeDWE6bWIPS+d4hUXNzCjOJ9D7X3cvb0l6UiSJEmSJEnSpDBum/wphxx8HAa6oXwWVE/PxeslBXm8fG0DqRB4dG8bO5rd9E+SJEmSJEmyYNaFyWZh34Px8YIrp93q5ZPNqiji6mUzAfjFpsN09g0mnEiSJEmSJElKlgWzLsyRbdDbBsVVMHNZ0mnG3fPmV7GwpoTegSH++6lDZLNR0pEkSZIkSZKkxFgw68IcW708dz2kpv+vUwiBl6yeRWlhmv1He3l479GkI0mSJEmSJEmJmf6NoMZPx0Foa4S8Api1Nuk0E6akII8Xr5oFwP07j9De46gMSZIkSZIk5aZJWTCHEF4aQtgSQtgeQviLs5z3uhBCFEJYP5H5NOzY6uWGSyCvMNEoE21hTSkrZpUzOBRx+5YmoshRGZIkSZIkSco9k65gDiGkgf8NvAxYBbwxhLDqNOeVAx8A7p/YhAKgvxOaNseb+s25LOk0ibhueS2F+Sl2tXSzvakr6TiSJEmSJEnShJt0BTPwfGB7FEU7oygaAP4TePVpzvufwCeBvokMp2H7H4YoCzXLobgy6TSJKC3M4+qlNQBs3NJMf2Yo4USSJEmSJEnSxJqMBfMcoPGk5/uGXzsuhPA8YF4URT+ZyGAaNtgHBx6Nj+c9P9ksCVs7p4KGiiK6+jPcu+NI0nEkSZIkSZKkCZWXdIDzFUJIAZ8F3j6Cc98NvBugvr6ejRs3jmu2XFHV+ggV7VvoK6rl0CPbIGxPOlKiivsj9jQOsncPdO/Jp6wgJB1JkiRJkiRJmhCTsWDeD8w76fnc4deOKQfWABtDCACzgB+GEF4VRdFDJ18oiqKvAF8BWL9+fXT99dePY+wc0X0EHrwfqhfBZW/novJZSSeaFEo2Heap/e2kZpVz/dqGpONIkiRJkiRJE2Iyjsh4EFgWQlgUQigAfgf44bE3oyhqj6KoJoqihVEULQR+DTynXNY4iCLYfls8e7nhYrBcPu6KxdXkpQJbDnXS1OFYcEmSJEmSJOWGSVcwR1GUAd4H/BzYDHw7iqKnQwh/F0J4VbLpctyR7dC6E/IKYdG1SaeZVGYU5bNuXiWAs5glSZIkSZKUMybjiAyiKPop8NNnvfbRM5x7/URkynlDGdj+y/h44TVQUJpsnkno+QureWp/O7tautl3tIe5VSVJR5IkSZIkSZLG1aRbwaxJ6tDj0HsUSmtgzvOSTjMpFRekuWxBFQD3bG8hiqKEE0mSJEmSJEnjy4JZI3PoyfjrgishlU42yyR26fxKSgrSHGjr48n97UnHkSRJkiRJksaVBbPOrfsIdByEvAKoWZ50mkmtMC/NtctrAdi4pZkDbb0JJ5IkSZIkSZLGjwWzzu3w8Orl2pWQzk82yxSwsmEGl8yvZCgb8ZMnDtLdn0k6kiRJkiRJkjQuLJh1dlEEh5+Oj+tXJ5tlCrl2WS1zqorp6s/wkycOMpR1HrMkSZIkSZKmHwtmnV3bHujrgKIKqJyfdJopI50KvHxtA+VFeexv6+XOrc1JR5IkSZIkSZLGnAWzzu7QU/HX+tUQQrJZppjSwjxevq6BdCrwWGMbTx9w0z9JkiRJkiRNLxbMOrPMADQ/Ex/PWptslimqoaKYG1bUAfCrzU0c7uhLOJEkSZIkSZI0diyYdWYtW2FoEGbMhpLqpNNMWWvnVrB2TgWZbMSPHj9Az4Cb/kmSJEmSJGl6sGDWmR16Mv46a02yOaaB61fU0lBRRGdfhp8+eYism/5JkiRJkiRpGrBg1ul1HISjuyGdB3Wrkk4z5eWlU7x8XQMlBWkaW3t4tPFo0pEkSZIkSZKkC2bBrNPbe2/8dfbzIL842SzTRHlRPjetqgfg3u1HONLVn3AiSZIkSZIk6cJYMOu5upqheSuk8mDe85NOM60sri1j9ewZZLIRP3/6MEOOypAkSZIkSdIUZsGs5zq2ernhYigsTzbLNHTdilrKi/I43NHHg7tbk44jSZIkSZIkjZoFs07V0wpNmyGkYP4VSaeZlgrz0rxk9SwA7t/ZyuGOvoQTSZIkSZIkSaNjwaxT7b0PoghmrYWiiqTTTFvzqku4ZH4l2SjiR48foLs/k3QkSZIkSZIk6bxZMOuE3qNw6CkIAeZvSDrNtHfN0hpmVxbR2ZfhJ08cJDOUTTqSJEmSJEmSdF4smHXCzjsgykL9aiipTjrNtJeXTvGKdbMpL8pjf1svt29pJorc9E+SJEmSJElThwWzYh0H4tnLqTxYeE3SaXJGaWEer7x4NnmpwFP723l8X3vSkSRJkiRJkqQRs2BWPHN5x+3x8dzLoLgy0Ti5pn5GETetrgfgji3NNLb2JJxIkiRJkiRJGhkLZsGR7dC2F/KLYP6VSafJSRfNmsHlC6vJRhE/fuIg7T2DSUeSJEmSJEmSzsmCOddls7BzY3y84Oq4ZFYirlwyk8W1pfQNDvHDx/fTnxlKOpIkSZIkSZJ0VhbMue7QE9DdEo/FmPO8pNPktFQq8JLVs6guLaCla4CfP33YTf8kSZIkSZI0qVkw57Iogsb74+NF10IqnWweUZSf5lUXz6YwP8WOpi42H+xMOpIkSZIkSZJ0RhbMuax1J/S0QtEMqF2ZdBoNqyot4LrltQDcu6OFwaFswokkSZIkSZKk07NgzmX7H46/zr4UUv4qTCYrZ82gtryQzr4MjzW2JR1HkiRJkiRJOi1bxVzV0xqvYE7lQcMlSafRs6RSgWuW1QDwwK5Wegfc8E+SJEmSJEmTjwVzrtr/SDyDuX4VFJQknUansWBmKQtmljCQyXL/riNJx5EkSZIkSZKew4I5F2UG4NDj8fGcy5LNorO6elkNIcAT+9pp6xlIOo4kSZIkSZJ0CgvmXHT4ybhkrpgL5bOSTqOzqCsvYmXDDIayEXdsbSaKoqQjSZIkSZIkScdZMOeaKIrHY4Crl6eIq5bWUJifYmdzN5sPdiYdR5IkSZIkSTrOgjnXtO2B7hYoLIPaFUmn0QiUFeZx3fJaADZubaKrP5NwIkmSJEmSJClmwZxrDjwaf224GFLpZLNoxFY1zGBRTSn9g1l+ufmwozIkSZIkSZI0KVgw55L+LmjeCiFAwyVJp9F5CCFw48o6CvLiURnPHHJUhiRJkiRJkpJnwZxLDj0BURZmLoWiGUmn0XkqL8o/Pirj9i1NNHX0JZxIkiRJkiRJuc6COVdksyfGY8y+NNksGrXVs2ewrL6M/sEs331kP02dlsySJEmSJElKjgVzrmjdCX0dUFwJ1YuTTqNRCiHwsjUNLK4tpW9wiO89sp/mzv6kY0mSJEmSJClHWTDnipNXL4eQbBZdkHQq8PK1ccncOzDEdx/ZR2v3QNKxJEmSJEmSlIMsmHNBbxu07oBUGmatTTqNxkBeOsXL1zawsKaE3oEhfvT4AfozQ0nHkiRJkiRJUo6xYM4FBx6FKILaFVBQmnQajZG4ZJ5NTVkBrd0D/Pzpw0RRlHQsSZIkSZIk5RAL5uluaBAOPh4fz7ks2SwacwV5KV558WwK81PsaOrigV2tSUeSJEmSJElSDrFgnu6aNsFgL5TXw4w5SafROKgsKeBlaxoIAe7beYRdLd1JR5IkSZIkSVKOsGCezqII9j0UH89Z7+Z+09iimlJesHgmUQQ/eeIA+472JB1JkiRJkiRJOcCCeTpr3wddTZBfDHWrkk6jcfb8RdWsmj2DwaGIWx47wP623qQjSZIkSZIkaZqzYJ7O9g+vXp59CaTzEo2i8RdC4KaV9axsKGcgk+UHj+7nYLslsyRJkiRJksaPBfN01dcBzVshpGD285JOowmSSgVevGoWF82KS+bvPbKfA65kliRJkiRJ0jixYJ6uDjwKURZql0PRjKTTaAKlUoGXrJ7F8vq4ZP7+o/tpbHUmsyRJkiRJksaeBfN0lB2Cg4/Hx3MuSzaLEpFKBV62ZhYrG2YcH5exu6U76ViSJEmSJEmaZiyYp6Mj22GgG0proGJe0mmUkHglcz1r51SQyUb88PEDbG/qSjqWJEmSJEmSphEL5uno2OrlhoshhGSzKFEhBG5cWccl8ysZykb85ImDbDnUmXQsSZIkSZIkTRMWzNNNXzu07oRUGurXJJ1Gk0AIgeuX13L5wmqyUcR/P3WQpw+0Jx1LkiRJkiRJ04AF83Rz8AmIIqhZDgUlSafRJBFC4KqlM3nBkplEEdz69GEea2xLOpYkSZIkSZKmOAvm6SSbhUNPxMcNFyebRZNOCIENi2dy7fIaAG5/polfbDpMZiibcDJJkiRJkiRNVRbM08nRXdDXAcWVULUw6TSapC5bUM2LV9eTlwo8tb+d/3qokfaewaRjSZIkSZIkaQqyYJ5ODj4Wf3VzP53D6tkV/Pbl86gozqepo59vPrCHfUd7ko4lSZIkSZKkKcaCebro74KW7RBSMGtt0mk0BdTNKOJ3r5jP4tpS+gez3PLYAfa39SYdS5IkSZIkSVOIBfN0cehJiLIwcwkUliedRlNEUX6aV66bzcqGcgYyWX7w6H4OtlsyS5IkSZIkaWQsmKeDKIKDj8fHDZckGkVTTyoVePGqWVw0Ky6Zv/eIJbMkSZIkSZJGxoJ5OmjbA71H45XL1YuTTqMpKJUKvGT1LJbXxyXz/3toH481thFFUdLRJEmSJEmSNIlZME8Hx1cvr4OU/5NqdFKpwEvXzGLd3AqGshG3P9PEj544SN/gUNLRJEmSJEmSNEnZRk51Az3QvAVCgFnrkk6jKS6dCty4sp5XrGugMD/FjqYu/u+v99DU2Zd0NEmSJEmSJE1CFsxT3eGnITsEVQuhuDLpNJomltWX86YrFtBQUURnX4b/99A+9hzpTjqWJEmSJEmSJhkL5qksiuDgY/Gxm/tpjFUU5/Nbl81lxfDmfz949ABP7W9POpYkSZIkSZImEQvmqazjAHS3QEEJ1CxLOo2mobx0ipetmcX6hVVko4hfbDrMI3uPJh1LkiRJkiRJk4QF81R2bPVy/RpIpRONoukrhMA1y2p54UV1ANy5tZkdzV0Jp5IkSZIkSdJkYME8VWX6oWlTfOx4DE2Ai+dV8oIlM4ki+NlTh2ju7E86kiRJkiRJkhJmwTxVHX4ahjJQOQ9KZyadRjniikXVXDQ8k/mWx/bT3Z9JOpIkSZIkSZISZME8VR18PP7q6mVNoBACN62qZ3ZlEZ19GW557AA9A5bMkiRJkiRJucqCeSrqPAydhyCvEGpXJJ1GOSYvneIV62ZTUZzP4Y4+/uvBRtp6BpKOJUmSJEmSpARYME9FJ2/ul85PNIpyU2lhHm+4fB51Mwpp6xnkPx9s5EBbb9KxJEmSJEmSNMEsmKeaocF4/jLA7EsSjaLcVlaYx29dNpeFNSX0Dgzx3Yf3sbulO+lYkiRJkiRJmkAWzFNN8zOQ6YcZDVBWl3Qa5bjCvDSvvngOa+ZUkMlG/PiJA+w72pN0LEmSJEmSJE0QC+ap5sBj8deGixONIR2TSgVetLKONXMqGByKuOWxAxxq70s6liRJkiRJkiaABfNU0r4vfqTzoW5V0mmk40II3HhRHStmlTOQyfL9R/fT1GnJLEmSJEmSNN39/9u78/C47vu+95/vmRUDDPaNBLhv2kVJ1GbHsezYsZzYlpPaiewkdnL9XPc+N27ce/O0TdrcNG2Sp2lvbtKkSfPUSb3Gi2zHdpTUjZ16iWNblkRJlCVKosQVJEgsgx0DYNbf/eOcAUGIAMkhgDMA3q/nmefMnDnnzHfA8xyAn/nN90fAvJ6c/q6/7D0kRRPh1gIs4nmmt9zcrd0d9ZorlPSFw+d0Yng67LIAAAAAAACwigiY14uJc9LoKSkal3rvCbsa4LIinuknb92i/V3+SOZHj5zXD06OyDkXdmkAAAAAAABYBQTM60Vl9HLPISmeCrcWYBnRiKefuLVbP7KvXWbSYydG9Lc/vKBcsRR2aQAAAAAAAFhhBMzrwfjZBaOX7w67GuCKzEx372zVQwd7lIh5Oj40rUeePKvxmXzYpQEAAAAAAGAFETCvB2e+5y8ZvYx1Zld7vd5z93a1NcQ1Mp3XZ57o0+lMNuyyAAAAAAAAsEIImGvdRP/F0cvb6L2M9aelPq6fvXub9nQ2KFco6ytH+vXk6VH6MgMAAAAAAGwABMy1bvB5f7n1DilWF24tQJUS0YjeftsW3b+nTc5J330lo68+N6B8sRx2aQAAAAAAALgOBMy1rFyWho/59ztvCrcW4DqZme7b3aZ3HNyqeNTTy4NTeuTwWU3MFMIuDQAAAAAAAFUiYK5lE2elfFaqa5YausKuBlgRezoa9PDd29SSiikzldNnnuhT38hM2GUBAAAAAACgCgTMtawyernjgGQWbi3ACmprSOjhe7ZrV3u95golfemZc3rqzBh9mQEAAAAAANYZAuZa5ZyUqQTMN4RbC7AKkrGI3nH7Vt27q1XOSd95eVhfOzqgQom+zAAAAAAAAOsFAXOtmjgn5aalZJOU3hJ2NcCq8DzTa/a26223bVE86unFC1P6/OGzmpyjLzMAAAAAAMB6QMBcq2iPgU1kX1daP3Nom5rqYhqazOmzj/fp3Bh9mQEAAAAAAGodAXMtck4afsm/T3sMbBId6YTee+927WhLaSZf0l891a+n++jLDAAAAAAAUMsImGvR5HkpNyUl0lLj1rCrAdZMMhbROw/26NDOFpWd0z8cG9ajz57XbL4UdmkAAAAAAAC4DALmWrRw9DLtMbDJeJ7pdfs69PbbtygR83RyOKtPP36GlhkAAAAAAAA1iIC51lzSHuNAuLUAIdrbmdbP3btDW5uTmpor6q+e6tfpTDbssgAAAAAAALAAAXOtGT8jzU1KySapqTfsaoBQNdXF9K67tungtmaVndP/eO6CBifnwi4LAAAAAAAAAQLmWjPwvL/svoX2GICkiGd64ECHbtySVr5Y1lee6df4TD7ssgAAAAAAACAC5tpSzF9sj9F1S7i1ADXEzPTmm7q1oy2lmXxJX36mXzP5YthlAQAAAAAAbHoEzLUk87JUKkiNW6VUa9jVADUl4pl+8rYt6mxMaHymoC8+dU5Tc4WwywIAAAAAANjUCJhryeCC9hgAXiURjeidB3vU3hDXyHReXzh8ThMzhMwAAAAAAABhIWCuFXOT0thpyYtInTeFXQ1Qs+oTUb370DZ1NyU1MVvQ5w+f1ch0LuyyAAAAAAAANiUC5lox9ILknNS2R4rVhV0NUNOSsYh++s4e9bTUaTpX1Gef6NMTp0ZVLJXDLg0AAAAAAGBTIWCuBc5JA8/597tuDbcWYJ1IRCP6qTt6dEN3WoWS0/eOZ/SXPzijU5ls2KUBAAAAAABsGgTMtSA7LGUz/sjltj1hVwOsG7GIp7feukX/5M5etdbHNTZT0Fee6df/emFQBUYzAwAAAAAArDoC5lowfMxftu/3ezADuCbb21L6+ft26Ef3tyvqmZ7rn9Bnn+hTht7MAAAAAAAAq4qAuRZkXvaXHQfCrQNYxyKe6a4drXr4nu1qrY9rZDqvzz7ep+fOTcg5F3Z5AAAAAAAAGxIBc9hmx6TpISkSk5p3hF0NsO51pBN6zz3bdfPWRhXLTv/rxUF99bkBzRVKYZcGAAAAAACw4RAwhy1z3F+27ZEi0XBrATaIeNTTj9/crQdv6VY86unlwSl9+vE+XZiYDbs0AAAAAACADYWAOWyV9hjt+8OtA9iAbtzSqJ+7d7s6GxOanC3okSfP6u+ev6DxmXzYpQEAAAAAAGwIBMxhymelibP+xH6te8KuBtiQmlNx/eyhbTq0s0WemV68MKVPfP+MvvHioGbztM0AAAAAAAC4HgTMYRo5Ljnn916OJcOuBtiwohFPr9vXofe/Zqdu2tooJ6cfnpvQZ57o09DkXNjlAQAAAAAArFsEzGHKvOIv2/eFWwewSTTVxfSWm7v1C/ftUHdTcr5txtHzE2GXBgAAAAAAsC4RMIelmJdGT/n3CZiBNdXWkNC77+rVrT1NKpadvn50UN98aVClsgu7NAAAAAAAgHWFgDksY6ekclFq3Col0mFXA2w60YinN93UpTff1KWIZ3r27IS+cPispuYKYZcGAAAAAACwbtRkwGxmD5rZMTM7bma/dpnn/28ze8HMfmhm3zCzHWHUeV2Gj/nLjgPh1gFscrf0NOlnDm1TOhnVhYk5febxPp0dnQm7LAAAAAAAgHWh5gJmM4tI+lNJb5V0k6T3mNlNizZ7RtIh59xtkr4o6T+tbZXXqVzyJ/iTpPb94dYCQN1NSb333u3a3prSTL6kLz3dr+f76csMAAAAAABwJTUXMEu6R9Jx59xJ51xe0uckPbRwA+fct5xzlSGGP5DUu8Y1Xp/xPqmYk+rbpVRr2NUAkJSKR/VTd/Torh0tKjunv39hUE+eHpVz9GUGAAAAAABYSjTsAi6jR9LZBY/PSbp3me0/IOl/Xu4JM/ugpA9KUldXl7797W+vUInXp3XksBonT2u8OaXxGqkJwEWN2ZKey5R0+vRp/aDZ0y3tEZlZ2GUBAAAAAADUnFoMmK+amf28pEOSXn+5551zH5H0EUk6dOiQe+CBB9auuKU4Jz32vNS6U7rr3f4kfwBqygOSjg1M6WtHB1QsO403p/SGA51qTsXDLg0AAAAAAKCm1GKLjH5J2xY87g3WXcLM3iTp30h6h3Mut0a1Xb+pC1JuSkqkpfSWsKsBsIQD3Wk9dHCrEjFPpzMz+uRjZ/T94xnli+WwSwMAAAAAAKgZtRgwPylpn5ntMrO4pIclPbpwAzO7Q9J/kx8uD4VQY/UyL/vL9v0SX7kHatqOtnq9//6dumlro0plp8dPjepj3zulbx0b0oWJWfozAwAAAACATa/mWmQ454pm9iFJX5MUkfRR59xRM/v3kg475x6V9P9KapD0haAvap9z7h2hFX0tMq/4y/Z94dYB4KrUJ6J6y83durWnSd86NqShyZyO9I3rSN+4mlMxPXCgU7va68MuEwAAAAAAIBS2WUbgHTp0yB0+fDjcIrIj0hMfkaIJ6bUflrxIuPUAuCbOOQ1N5fTSwJReHpjSdK4oM+k1e9p1984WJgIEAAAAAADrjpk95Zw7VO3+NTeCeUOrtMdo20u4DKxDZqauxqS6GpN63d52PXl6VI+dHNH3jmc0NDWnH7+pW/FoLXYeAgAAAAAAWB0kIWupEjB3HAi3DgDXzfNM9+5u0ztu36p41NMrg9P6zONndHZ0JuzSAAAAAAAA1gwB81rJTUmT5yUvKrXsCrsaACtkd0eD3nPPdrU3xDU2U9AXnzqnrx8d0Gy+FHZpAAAAAAAAq44WGWulMrlf6y4pGg+3FgArqrU+rvfcs12Hz4zpiVOjOnp+UieGs7qhO60D3WltaUrSnxkAAAAAAGxIBMxrpRIwt+8Ltw4AqyIa8XTf7jbt70rrGy8O6tzYrI6cHdeRs+NqrIvp7p0turWniaAZAAAAAABsKATMa6EwJ42fkcz8Cf4AbFit9XG9665eDU/l9NLAlF4enNLkbEHfeHFILw9O6803dqkpFQu7TAAAAAAAgBVBwLwWRk9I5ZLUvF2K14ddDYBVZmbqbEyqszGp1+1r18uD0/rWsSGdHZ3RXz5+Rq/d267beprkeYxmBgAAAAAA6xuT/K2FzMv+sn1/uHUAWHNmpgPdab3v/h3a35VWvljWt14a0mef7NP58dmwywMAAAAAALguBMyrrVSURk749+m/DGxaqXhUP3nbFr399i1KJ6MamszpkSfP6mtHBzRXKIVdHgAAAAAAQFUImFfb+BmpVJAaOqW65rCrARCyvZ1pve/+nbpnV6sinumF85N65MmzmpgthF0aAAAAAADANSNgXm3Dx/wl7TEABOJRT6/d265fuG+H2hviGs3m9ciTfRqcnAu7NAAAAAAAgGtCwLyaymVp5BX/fseBcGsBUHNa6uN696Ft2t6aUjZX0hcOn9XR8xMqlsphlwYAAAAAAHBVCJhX02S/lJ/xW2PUd4RdDYAalIxF9M47enTjlkYVSk5fPzqov/juKX372JAy07mwywMAAAAAAFhWNOwCNrTK6OW2fZJZuLUAqFkRz/SWm7vU01ynZ8+Na3gqp2f6xvVM37gObmvWa/e2Kx7l80AAAAAAAFB7CJhX08gJf9m+N9w6ANQ8M9OtvU26padRw1M5PX9+Qs+dm9SRs+M6lcnqzTd1aVtrKuwyAQAAAAAALsGQuNUyOy5lM1I0LjVtC7saAOuEmamzMak33tCl99y7TR3phCZmC/riU+f09aMDms4Vwy4RAAAAAABgHgHzaqmMXm7ZJXmRcGsBsC51ppN6zz3bdf+eNkU809Hzk/r4907psRMjyheZCBAAAAAAAISPgHm1jAYBcxvtMQBUL+KZ7tvdpvfdv0N7OxtUKDn94OSIPvnYaR0fmg67PAAAAAAAsMkRMK+GYl4aO+Pfb90dbi0ANoTmVFxvv32r3n2oV12NSU3NFfU3z57Xo8+e19RcIezyAAAAAADAJkXAvBrGz0jlotS4RUo0hF0NgA2ktyWlh+/epjfc0Kl41NOJoWl98rEz+u4rGfozAwAAAACANRcNu4ANaeS4v6Q9BoBV4Hmmg9uataejXt86NqwTQ9N68vSonu4b0w3dad29s1Ut9fGwywQAAAAAAJsAAfNKc+7iBH8EzABWUToZ0ztu36oLE7N66syYjg9N6+j5Sb14YUq3b2vSfbvblIwxySgAAAAAAFg9BMwrbXpIyk35rTEausKuBsAmsKWpTm+7rU7jM3k9eXpMR89P6Jm+cb00MKXX7GnTLVub5HkWdpkAAAAAAGADogfzSqu0x2jdIxmBDoC105yK6803dem9925XT0udZvMlfePFIX36iT6dHZ0JuzwAAAAAALABETCvtFHaYwAIV2c6qXff1au33bZFjXUxZaZy+uJT5/S3PzyvidlC2OUBAAAAAIANhBYZKymflSbPS15EatkZdjUANjEz076utHa21+vpM2N68vSoXhmc1qnhrO7e1aq7drQoFuEzRgAAAAAAcH1IF1bS6El/kr/m7VI0HnY1AKBYxNO9u9v0/tfs1A3daRXLTo+dGNGnHjujE8PTcs6FXSIAAAAAAFjHCJhXUqX/Mu0xANSYdDKmt966Re+6q1ftDXFNzBb06JHz+usj5zWWzYddHgAAAAAAWKcImFdKuSSNnvLvt+4OtxYAWMK21pR+7t4deuBAh+JRT6cyWX3qB2f0veMZzRVKYZcHAAAAAADWGXowr5SJc1IxJ6XapFRr2NUAwJI8z3TH9hbt70rru8czeuH8pJ44NaojZ8d189ZG3bG9RU11sbDLBAAAAAAA6wAB80qZb4+xJ9w6AOAq1SeiesvN3bq1p0mPnRhR3+iMnukb17NnJ3SgO637d7epKUXQDAAAAAAAlkbAvFJGTvhL+i8DWGe2Ntfpn9zVq6HJOT3dN6ZjA9N68cKkXh6c0i09jbpnV5saEvy6AAAAAAAAr0YP5pUwOybNjEjRhNTUG3Y1AFCVzsakHrxli37xNTt145ZGlZ3Ts2cn9PHvndITp0ZVLJXDLhEAAAAAANQYAuaVUBm93LpL8iLh1gIA16kpFdODt3Tr5+/boT2dDSqUnL53PKNP/eCMTmWyYZcHAAAAAABqCN95Xgnz/ZdpjwFg42hvSOgdt29V38iMvv3ykEam8/rKM/3qbkrq5q2N2t+VVjLGh2oAAAAAAGxmBMzXq5iXxvskM6l1d9jVAMCK296W0s/du0NHzo7r8VMjGpiY08DEnL7z8rAOdDfqvt2tSieZDBAAAAAAgM2IgPl6jfdJ5ZLUuFWK14ddDQCsiohnumtHi27rbdLxoWkdPT+ps6Mzer5/QscGJnXnjhYd2tGqeJTOSwAAAAAAbCYEzNdr7LS/bNkZZhUAsCZiEU83bmnUjVsaNZrN6/snMnplcFqPnxzV0f5J3bmjWbf0NCkRpXUGAAAAAACbAQHz9Ro75S9bd4VbBwCssdb6uN5221adG5vRP76SCdpmZPSDk6O6rbdJd2xvUUOCXzMAAAAAAGxkfJf5euSmpGxGikSlxp6wqwGAUPS2pPTw3dv00MGt6m2pU75Y1uHTY/rE90/r8OlRlcou7BIBAAAAAMAqYWjZ9ai0x2jeIXl8HRzA5mVm2t3RoN0dDRqYmNMTp0d1Ymha//hKRkfPT+p1+9q1vTWlaITPNQEAAAAA2EgImK8H/ZcB4FW6m5J6x+1bdTqT1bePDWk0m9dfHzmvqGfqakqqt6VON3Q3qrU+HnapAAAAAADgOhEwV8s5AmYAWMbO9nr9fMsOHTk7rhcHppSZyql/bFb9Y7N6/OSodrSldHBbs3a118vMwi4XAAAAAABUgYC5WjMjUm5aitdL9R1hVwMANSka8XRoZ6sO7WzVbL6k/vFZncpkdWxgUmdGZnRmZEbNqZhu39asm7Y0Khmj3RAAAAAAAOsJAXO1Rk/5y5adEiPvAOCK6uIR7e1s0N7OBr1uX7ue75/Qs+cmND5T0D8cG9ZjJ0Z045a0bu9tVltDIuxyAQAAAADAVSBgrhbtMQCgaslYRId2turO7S06mcnqyNlxnR2d0bNnJ/Ts2QnaZwAAAAAAsE4QMFejXJLGz/j3CZgBoGqeZ/OjmjPTOR3pG9dLtM8AAAAAAGDdIGCuxuR5qVSQUm1SsjHsagBgQ2hvSOhNN3XpR/a16+j5CR05e2n7jANdae3qqNe2lpTiUS/scgEAAAAAgAiYqzO2oP8yAGBFJWMR3bWjVXdsu7R9xnP9E3quf0IRz7S1uU672uu1t7NBTXWxsEsGAAAAAGDTImCuxshxf9m6O9w6AGADW9w+45XBafWNZnVhYk5nR2d0dnRG33l5WB3phG7oTuuWnibaaAAAAAAAsMYImK/V3KQ0NShFolLLjrCrAYBNob0hofaGhO7f06a5QkmnR7I6MZTV6ZGshqdyGp7K6fFTozq4rVl3bG9WKs6vNwAAAAAA1gL/A79WI6/4y5ZdUoSvZQPAWkvGIrqhu1E3dDeqWCrrzOiMnj4zpnNjs3ri1KiePjOmW3qadOeOFtpnAAAAAACwygiYr1UmaI/Rvi/cOgAAikY87elo0J6OBl2Y8APmk8N+3+YfnpvQge60Dm5rVldjQmYWdrkAAAAAAGw4BMzXopiTxs9IZlLb3rCrAQAssKWpTg8d7FFmOqfDp8d0bGBKL16Y1IsXJtWciulAd1oHutJqa0iEXSoAAAAAABsGAfO1GD0llUtSU48Urw+7GgDAZbQ3JPTgLd26f0+bjpwd17GBSY3PFPT4yVE9fnJ0flLA/d1pNSZpoQEAAAAAwPUgYL4WI0F7jDbaYwBArWuqi+n1+zv0ur3tOjc2q5cGJnV8eHp+UsB/fCWj3R31umtHi3qa62ihAQAAAABAFQiYr1a5fDFgpv8yAKwbnmfa3pbS9raU3lgq6/TIjI4NTOnk8LRODmd1cjir7qakDm5r1p6OBsWjXtglAwAAAACwbhAwX63JfqkwK9W1SKm2sKsBAFQhGvG0t7NBezsbNJMv6tmzE3r23LgGJub0dxMDikVMuzsadEN3Wrva6xnVDAAAAADAFRAwX62RV/xl+15/kj8AwLqWikd1/542HdrZMj8Z4PnxOR0bmNKxgSl1NyX1un3t6m1JhV0qAAAAAAA1i4D5ajgnZei/DAAbUSzi6bbeZt3W26yJ2YKODUzp2bP+qOYvHD6nvZ0Numlro5rrYmqqiykaoYUGAAAAAAAVBMxXI5uRZkakWFJq6g27GgDAKmmqi+meXa06uK1ZT50Z01NnRnV8aFrHh6Yl+V9gaUzG1NWYVHdTQp3ppBoSUSVjESWinjyPb7gAAAAAADYXAuarMfyiv2w/IHmRcGsBAKy6eNTT/XvadEtPo46cHVdmOqfxmYImZ4uamC1oYraglwenXrVfe0Nc+7vSuqG7UU2pWAiVAwAAAACwtgiYr8bwMX/ZeUO4dQAA1lQ6GdPr9nXMPy6VnUazeQ1Ozmlwck7DUznNFkqaK5SVK5aUmc4rMz2i758Y0ZampPZ3p3WgK636BL9uAQAAAAAbE//jvZLpYb9FRiwpNe8IuxoAQIginqkjnVBHOqFbepouea5UduobndGxgUmdGM7qwsScLkzM6TsvD2tbS0q7OurV21yn9oYErTQAAAAAABsGAfOVDL/kL2mPAQBYRsQz7Wqv1672ehVKZZ0czurY4JROZ7LqG51R3+iMJCkR89TTXKcdbfXa2ZZScyoecuUAAAAAAFSPgPlKKgFzx4Fw6wAArBuxiKcD3Wkd6E5rrlDSieFpnRub1bmxWU3OFnRyOKuTw1lJUnMqpt6WlHpb6tTTUqfGJL2bAQAAAADrBwHzcrKZi+0xWnaGXQ0AYB1KxiK6eWuTbt7qt9SYnCuob2RGZ0ZmdGY0q/GZgsZnJvR8/4QkqasxqXt2tWpPR73MaKUBAAAAAKhtBMzLGXrRX7bvpz0GAGBFNCZjuqWnSbf0NKlcdhqcmlP/2Kz6x/0RzoOTc/qbZ8+rPZ3Qndub1VQXUzIWUTIWUX08QugMAAAAAKgpBMzLmW+PcUO4dQAANiTPM21pqtOWpjodklQolfV8/4SeOjOmzFROXz86eMn2DYmodrSltLO9Xr0tdUrF+TUOAAAAAAgX/zNdCu0xAABrLBbxdMf2Ft3a06QXLkzqVCarXKGsuWJJ2VxJ07mijp6f1NHzk5Kk+kREbfUJtacT2tZSp96WlOJRL+R3AQAAAADYTAiYl0J7DABASKIRT7f1Nuu23ub5dc45DU/n1Dcyo9MjMxqcnFM2V1I2N6O+0Rk9fWZMEc/U01yn7W0p9TTXqasxqYhHSw0AAAAAwOohYF4K7TEAADXEzNSZTqozndShna1yzmlytqhMNqfBiTmdGfVD575RP3CWpFjEb8HR01Kn3pY6dTcmFY0wwhkAAAAAsHIImC+H9hgAgBpnZmpKxdSUimlPR4NeI2k2X1Lf6IzOjc2of3xWI9P5SwLnqGdqa0iorSGu9oa4OtNJbW2uY5QzAAAAAKBqBMyXUxm9THsMAMA6UheP6EB3Wge605KkmXxR/WOzOjc2q3Pjs8pM5TQ4OafBybn5feJRT70tddrRVq+2+riaUzE1JKIyI3QGAAAAAFwZAfPlVPov0x4DALCOpeJR7etKa1+XHzjPFUoayeaVmcopM52bH+V8cjirk8PZ+f1iEVMqHlUyFlEy5qk+EdXWJr/NRnMqRvgMAAAAAJhHwLxYdsRvjxFN0B4DALChJGMR9TTXqae5bn7d5FxBfSMzOjc2q4nZvMZnCprJlzQxW9DEbGF+uxfOT0qS6hMRNafiakhEVZ+IqqFyS/rLdCIqj5YbAAAAALBpEDAvNhyMXqY9BgBgE2hMxnRLT5Nu6WmaX5crljSbL2muUNZcoaTx2YLf13lsVtlcSdnc7JLHi3imxmRUzam4WurjaquPqyOdUGt9XDEmGAQAAACADYeAebFK/+XOG8OtAwCAkCSiESWil37IenBbs5xzmpgtaGquqKm5orL5oqbniprOFZXN+eumc0WNzRQ0NlPQqczFthuemdoa4upuTKqrMTkfOsejhM4AAAAAsJ4RMC+UHZGmh2mPAQDAZZiZmlNxNafiS25TKJU1MVvQ+ExeI9N5v+fzdE6j2byGp3Iansrpuf6J4HhSU11MrfX+MZvrYmpOxdSZTqouzreIAAAAAGA9IGBeqDJ6mfYYAABUJRbx1N6QUHtDQns7L67PF8sans5pYGJOQ5NzQehc0PiMf5OylxynORVTV2NS21pS2t1Rr/oEf7IAAAAAQC3if2sLVQLmjhvCrQMAgA0mHvVeNcFgqew0ms1rfCav8Vk/aB7N5jQ0mZsPno8NTMlekrY21WlXR/18iw1aawAAAABAbSBgrpgdk6aHpGic9hgAAKyBiGfqSCfUkU5csr5UdhrJ+qOdTw5n1Tc6o/7xWfWP+5MLmklt9XG11ifUFLTV6Egn1JlOyMzCeCsAAAAAsGkRMFdkjvvL1j1ShB8LAABhiXimznRSnemkbuttVq5Y0pmRGZ0dndHA5JwyU3llpv3bQnXxiHa0prS9LaXOdFKt9XFFPAJnAAAAAFhNJKkVmWP+sn1/uHUAAIBLJKIR7e9Ka39XWpI/keDIdF7js/mglUZe/eNzmpwt6KWBKb00MCVJ8szUWu/3cu5pqVNvc0qNdVFGOQMAAADACiJglqR8Vpo450/s17o77GoAAMAyYhFP3U1JdTcl59c55zQ2U9Dpkaz6x2aVmc5pYrYwP9L56PlJSVJDIqr2dFxt9f5EhL2tdWpMxsJ6KwAAAACw7hEwS9LIcck5qWWHFEteeXsAAFBTzEyt9XG11sd15/YWSRdHOlf6N/ePzWo6V9R0rqjTmZn5fdsa4trR5k8g2JCMqiEeVX0iomiEiQQBAAAA4EoImCUp84q/bN8Xbh0AAGDFLBzpfNeOFjnnglHNOWWm8xqcnNO5sVmNTOc1sqifs2emtoa4uhqT6m5Mqq0hruZUTHWxCC02AAAAAGABAuZiXho95U9JT8AMAMCGZWZqTsXVnIprb6e/rlR2ujAxq76RGY1k88oGI5ync0UNT+U0PJXT8/0T88eIRz01JqNKxCJKxiKqi0XU3hBXd1NSHQ0JRj0DAAAA2HQImEdPSuWi1NQjJdJhVwMAANZQxDP1tqTU25K6ZH2hVNbwVE4Dk3ManJjT2ExB47N55QplZRaNdq7wzFSfiCgW8RTxTImop9b6uNobEmpriCudiCkR85SIeoyCBgAAALBhEDBnXvaX7fvDrQMAANSMWMTT1uY6bW2um1/nnNNcoaypXEG5Qlm5YknTuZKGJuc0ODmnkWxeU3PFS45zbmz2Vcc280dCxzw/iI4Fo6Kb6mL+COu6mJpTMTUmY/I8gmgAAAAAtW1zB8zlkj/Bn0TADAAAlmVmqotHVBePXPb5fLGs2UJJxVJZpbLTbKGkzHReI9M5jWTzmsmXNFcoKV8s+wG1yvP7ZqZyrzqeZ6bmVEzbWuu0o61e21pSikdpwQEAAACgtmzugHm8TyrmpPp2KdUadjUAAGAdi0e9VwXAO9rqX7VdqexUKJVVCILofLGsybmCxmeC22xB4zP+aOjRbF6j2byePTuhiGfqbkyqt6VOPS116kgnFPU8RT1jpDMAAACA0GzugDnzir9kcj8AALBGIp4p4vmTBFZ0NiZftV2hVFZmOqfTmRmdGclqYHJO/eOz6h+flU5dum3UM7WnE+puTKqrMane1jo1JmOr/VYAAAAAYBMHzM7RfxkAANSsWMTTlqY6bWmq0/172jRXKPkB85gfMk/MFlQslVUsOxXLTgMTcxqYmJvfv6e5Tge609rT2aD6eISJBQEAAACsis0bME8NSLkpKZGW0lvCrgYAAGBZyVhEezoatKej4ZL1zjnlimUNT+U0MDmnCxNz6hvJzo92/uZLQzKTEtGIkjFPjUl/EsGmupgaklFFPVPU8+YnG2x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"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"viz = DiffusionTrend(model, trends)\n",
"viz.plot()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "f570cba1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"viz = DiffusionPrevalence(model, trends)\n",
"viz.plot()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.6"
},
"latex_envs": {
"LaTeX_envs_menu_present": true,
"autoclose": false,
"autocomplete": true,
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 1,
"hotkeys": {
"equation": "Ctrl-E",
"itemize": "Ctrl-I"
},
"labels_anchors": false,
"latex_user_defs": false,
"report_style_numbering": false,
"user_envs_cfg": false
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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