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@fonnesbeck
Created May 20, 2016 14:52
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from pymc3 import *\n",
"\n",
"import theano.tensor as t\n",
"from numpy import arange, array, ones, concatenate\n",
"from numpy.random import randint\n",
"\n",
"__all__ = ['disasters_data', 'switchpoint', 'early_mean', 'late_mean', 'rate',\n",
" 'disasters']\n",
"\n",
"# Time series of recorded coal mining disasters in the UK from 1851 to 1962\n",
"disasters_data = array([4, 5, 4, 0, 1, 4, 3, 4, 0, 6, 3, 3, 4, 0, 2, 6,\n",
" 3, 3, 5, 4, 5, 3, 1, 4, 4, 1, 5, 5, 3, 4, 2, 5,\n",
" 2, 2, 3, 4, 2, 1, 3, 2, 2, 1, 1, 1, 1, 3, 0, 0,\n",
" 1, 0, 1, 1, 0, 0, 3, 1, 0, 3, 2, 2, 0, 1, 1, 1,\n",
" 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2,\n",
" 3, 3, 1, 1, 2, 1, 1, 1, 1, 2, 4, 2, 0, 0, 1, 4,\n",
" 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1])\n",
"years = len(disasters_data)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied log-transform to early_mean and added transformed early_mean_log to model.\n",
"Applied log-transform to late_mean and added transformed late_mean_log to model.\n"
]
}
],
"source": [
"with Model() as model:\n",
"\n",
" # Prior for distribution of switchpoint location\n",
" switchpoint = DiscreteUniform('switchpoint', lower=0, upper=years)\n",
" # Priors for pre- and post-switch mean number of disasters\n",
" early_mean = Exponential('early_mean', lam=1.)\n",
" late_mean = Exponential('late_mean', lam=1.)\n",
"\n",
" # Allocate appropriate Poisson rates to years before and after current\n",
" # switchpoint location\n",
" idx = arange(years)\n",
" rate = switch(switchpoint >= idx, early_mean, late_mean)\n",
"\n",
" # Data likelihood\n",
" disasters = Poisson('disasters', rate, observed=disasters_data)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Assigned Metropolis to switchpoint\n",
"Assigned NUTS to early_mean_log\n",
"Assigned NUTS to late_mean_log\n",
" [-----------------100%-----------------] 1000 of 1000 complete in 0.8 sec"
]
},
{
"data": {
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9cXFGll8/bKB5vCcLgvsqus4LLyTvq6rKKf++kEl4P6+84s6nvwZxBtvmze4a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ZLoEhQqUeGCbpmwMXCZwgW7dDHiJluYc6dOSQ/ijh3Gc/tlMLtDAhs+64bOBhNfWOI8vAHz/xQM\nFwyKLPd/Ivgfmivihgva7IKJGRY4G5gBREzNl0JkelwR6WXT4YrI0YBECSxIFVmeVP7x8T/4/tjv\nc8uwW7jjuDv8PEieWHQs78grl77CMY8cQ78u/bh+6PWFNsmzkxF8IHbvvbmbgwSTVGkLJsESwGXA\nk8B342wsImcAv8eMT35EVe8LrO8KPAoMBKqAa7OFtC9Zki6yMome6mozrumkk9LLxu1kBMsG6xsz\nJjmux3o9gh2y4LbWSxHV6a2rSw9PctdHdYYqKlLnLrK4HhM3bCt4bFVVplMWlu66rMyEBX7zmzBp\nUqo9YYSJrKBXxk0UMGIEjB6denxR7RjEFQIuS5dGZ/drrCfL7ZQH9+V2LDOJZ3fbME8WJNukqsqc\ny6DIiuqsum1kPTQdOmTv3Aa9FJB6rHa/dh44iz3mqipjsxXIdgxYVLhgtgcdrg1hv9Hddsu8rTtP\nHSTPf9QYq6AnKyp1fljii4YGI2jtQxF7zVshms2TZRk2zEwebkVWtocKHTumh2naBwtB7Dl8773k\nODY3IUzQlji4Y7Ls/u0+rNgO/mcWUmTtBRyhqluMYTISGKeqV2TaKJEedwSwm4h8ikm32w5QVX0I\nuFBEbgRqMTewi5tyEG2ZLdVbuOO1Oxi3eByjLxrN8f0i/LEeTwS7d9qdCZdPYPjfh9OtQzcuHHxh\noU3yeOJysKoOdj6/LiKxxvWKSAnwJ+AUTNKMmSLysqp+5BS7E5ijqueLyP7AA8Cpmfa7zz7p32US\nWZs2pZYNC18Kbhsk01NfGz5l57qxHeyoxBdvvmneV6wwT6PDxttYT5ZNbR4UVUFbO3WCc86BZ56J\nPobycjjjDDN3T7CzExRZ7duHe7JsewWTUKjC22+n12k7oZlEVtjYJ5e4nT83XPDAA1Oz/wUzvtny\njR2TZQl2nOvrk3Ma2W2Dx7l1a+o1Z5OZZJuAd7fdzLi3qPVBOyxupzZbpLo7vifoFXZFVhBbdscO\n41lau9Z0/o84IllvmMiKIio0NYjrDbTXYlBkVVeb1PB77mlCjSsq4ossW6621ngDe/Y02TijsgtW\nVhpv+RFHJEWWvR7WhMz6F3ZcJSVmovX588PbIogrzm3Z+fNN/UcdBe++m1xvr1c7MbndJuzBketJ\ntqGC1ma3jd0xWUFPlvVWuw+R8iWy4u6yF+A+a6lJfJcRVb1MVfuoaoWq9lPVx1T1wYTAQlUfUNWD\nVfVwVT1WVac3/hDaLpOWTOLgvxxMTX0N7//L+15geZrMvrvty4TLJ/DD8T9k3MfjCm2OxxOX2YlJ\nggEQkWHAezG3PRpYrKorVLUWeBYIZgkaDEwFUNVFQH8RyRiHnakjHiZE3FTeEJ1pLFu4YJQny+5n\nwYKkfXa8jZ2MN4zq6sxjsgBmzAi3ya3X1pkNNz15UFy423fsaLLDRXmyIDyULmyuKxHjSZo4MVku\nkyfLlsn0HkUwXBCSHdGoxBFxwwWDHcygyNq8ORnOaq+VhoZUMbB+vREjwfDATCLrsMNMBz9T4gs3\nO2JQZEUlmojyeLj7sMcb5mkLlrVJNqqrzZg0N3mG+3triicrrH0y2QSmjVetMkJ7/HiYN894iIIi\ny9rmhgvW1cEnnySXS0tNSGv79maCYGunK7Jc4VJaan4/q1fDIYeYtu7SJf24gsdrv9t/f7McNY+d\nxb0GGxqMx9OK2mCIot23O39blCffxf1tBsvW10cnvghj5crCiqwngBkiMjLhxZoOPJ57czxxWLdt\nHd976Xvc8I8bePjsh/nbOX+ja/uu2Tf0eDJwaO9DGXvJWK55+RqmLJ1SaHM8njgMBd4RkeUishz4\nJ3CUiMwXkXlZtt0TcLvenyW+c3kfOB++Dmnvh4nsiKSqKjqMx816Zm/4tmwww5jbMYL0eWRcgk9h\n3Y5/sONmO17upLJR+80UVhb8nClcME7nJUxkuessNuFBWNib7UwF68vUad+yJXXC4PXrU8VHlMco\nSlwFO6xnnZWcDyzYcezdG/r2zR4uGAwNDH4HJkzV7icoDIMiyLabe2wrV5p5t4ITuEZ5NQAGDjR1\nBa/34DZWdLjXopvYwLWjU6ek1zWMoAc2kyfL1ldTkxzzGBSszfFkRRE2zknVXFf9+hnBEdyXm5Ci\nW7dUweF6sty2rq1NHk/wv8UVWbbM8uXJa2P33ZOJIcIyb1qCbdKuHey7b3R5iys0Vc0x2EQnYe18\n7LGpnqxgubBz7Aq54Hbu9APBsOCwcYaQOlVCroibXfC/RGQCcELiq2tUNSSfiCef1DfU8+CsB7mn\n8h6uPORK5t84n84VnbNv6PHEZNhewxh90WguGHUBYy4awwl7n5B9I4+ncJyR5/3/CvhDYsLj+cAc\nIHQ0wujRI79ePu64Edx224ivP9ub+/LlcMwxZjkqNCjoybIdZ9vxdDsTmzebp9pduoR3SGxYoJ0E\nF1I9We3apc7XFJZwIiie3nwzfLLXoJcuqrMU5IILzBxGcT1ZtuOUyZMVFBnBcDaL7WRa6utN+JQN\nWwzuy/UYRYmsYN1duph6rJ3B8xQmUuxxZfJkuWQKFwyOmbLirbY2dVzTmjXpnefOnTOfOztPUbZQ\nVrvetcM9PleUDB4MM2dm3p89Dmt7tnBBSJ7rYFvu2JF+nTdnTNbFF6fWcfjhRsR//LEpO3So8WIF\n9xVM1jJwoCm3aVOqxzk415g918H/kzCRtXFjUvDbxB+Q7nmz5RsjeIIEPVn2oUgU9j+qMXVGhVNX\nVCQn/Yb08xs8vgULKlmwoDJ07F9ziTsmC6AjsFlVHxOR3UVkH1VdlnuTPGFM+3Qat0y8hV3a7cLU\nq6YypNeQQpvk2Uk5ce8TeeaCZzh/1Pk8d+FznLxPi0855PHEQlVXiEg3oC/O/UxVZ8fYfBXGM2XZ\nK/Gdu/8twLX2s4gsA5aG7ezCC0d+vdw58OxL1Yy9sAOut20zYUJgniJv3hwdLlhVZZ46h83B9Pnn\n8NFHZh6pqDDF+vr0zH02cUVw3ERwUmG3c6JqBJ89hjPOMOOctm5N7wBlGrsSFBTuU2V3TFXw3U2/\nbW0L1mXXBYVOfb05VrfuAQPSy9lxHG5ijmxJHIKd47Dz4I7Lcdc3NKSmmndZty6ZBMAVIWHjt6Ky\nMQ4fbs5PMCHE9u0mfNB6dyoqzDXZtWuqR+Tb304PC3O9hyLZ7QlLEmKXbTnXe2ZtciktheOOMwI/\n6MkKZuqzBJO2dOtmsjhakWHLbNuWTNIQFS7YoYP5HUZ5e4P1uuy/v/mtffihKVtWlhqm6B6ja++h\nh5rXM8+kjqGrrzf/GeXl5rqxv59gNk1XZLnnyH1IEZUoJZuQb6zImj07OY4yuC/XrtrazCKrogJO\nPNHMIxhmd4cO5hreti0pniE9XDB4ngcPHsHgwSO49FLzOZfJmWKFC4rIPcAdwE8TX5UDT+XMCk8k\nKzet5LIXLuPi0Rdz2zduo/LqSi+wPHnn1AGnMvq7o7lk9CVMWjIp+wYeTwEQkV8C84D7MRMU/w/w\n25ibzwQGicjeItIOuIRkBl27/y4iUp5Yvh54w516JC62o2M7nGOdWr71LSPAojxZ27cb0RaWxc4+\nna+ujg5lC2bpCnqyLA0NyeQQYU+AJ0wwY7Bsh7hz59QOXlxPVlQomPvEPayza9NPu96qqMQXtkzv\n3tCrV3IOnCDBzl5NTXrHLSgi7DbWE5MpSYf7XbBN7PGVloaLLHe+qG7djMcPwjvAYR4WSO3Q2zT0\nqslzYPdlwyPtuJlMxxMVohks07evWa6vD/dkuSLLhqudeWb4ebLnGuDgg1PXBdObu9vY7w86yFy3\nI0Yk7YJUkRV2rGDa5rzzzHLYw4O44w0heb7DzmFUJk+7zv1/sPvYtCkpSl3bgvNkuTa6v+1sIqs5\nniz3uti4MfW4w9rMTkiczQPuinB3/UknwSmnmHNshaRdHwwXzDb2LpfEHZP1HeAcYBuAqq4GfJxa\nHqmqreIXb/yCwx48jEHdB7Ho5kVcfsjl+AljPS3F8P7DeemSl7jyxSsZu2hs9g08npbnImCgqo5Q\n1ZMSr1iuV1WtB24GXgU+BJ5V1YUicoOI/CBR7EDgAxFZCJwO3Bpn38G/advhKS1N9RS45YOeLJuE\nQSR18tKtW81AeVsGzFP2KE9WMEuhK7LCMoC59ttO2oYNpkNnQ3AuvTQ1jXqYeAjrLJ1yivGuhBEm\nsoK0b5/sELpixxJMfGGFUNhg+7CB9cuWRYdOhdkb5smJEllhyx07pk8OG7VdcBC/S6bEE1Zk2eNS\nNeLTZbfdzHdh4YHB4+/Z04gxOytDlMiyE88GPVn77JMUFK4n69JLjRfCHQ/n2mDLduxohLOlU6dw\ncWLFYP/+JsFDGFZkuSndoXniIozg+Q87X5nGLdoHNMuXw6uvJn97W7aYNoP0pCKuyLK/i4qKpKB1\n2zRTuGDU/0omDj7YZHM8wRltkGnMJSRFVvB/KHhORIxXM4i9fu2+3HqCDznykeAiirjhgjWqqiKi\nACLSKdsGnqahqoxZOIbbJ9/OkX2OZNYPZtG/a/9Cm+Vpoxzb91jGXz6ebz/9bTbt2MSVh15ZaJM8\nHpcPgK7A2mwFw1DVicD+ge8edJbfDa6PQ7ATYTv7paXhnhzXO+B6sqz3xn2SvWwZfPqp6TjaTsOW\nLalz84R5sg491GQzc8MF7RN8W1/fviYBQvCpuA0ZKy9P7cy5HaA4niw3VCuMTJ6s0lITNunuM5tX\nxbZfXV14GFrwPNmwQpcwEWXFa5gnK4ywcMHzzzedwQ8/zL69S1h9bhhkWGY7V2irmmvnww+Tbdej\nBxx5ZNJWSJ4rt42GDjXjtkSSEyhHJRFw63ZFVufOyTEzYZ3tMNHmjjl02/zEE83yqlXp21gxk028\nuBMwZ3qG3aVL9us3LmGey0x2WlH66afms+sVsrZnChcUMQ83ghMk2300NlwwWwKQIYlgKzcMtKSk\n8Z6sYDIfeyx77WX+z6KI8vYWsydrlIg8CHRNhEy8BjycbSMReURE1mTK8iQi94vIYhGZKyKHxbRn\np2ThuoWc9uRp3FN5D4+c8wjPf/d5L7A8BefIPkfy+tWvc/frd/O7f/6u0OZ4PC7/DcwRkUkiMta+\nCm2U24kYNw4WL06KrLAOVpgn6+OPkwIpGBZnsZ2dr75KFRGuyLId7MGJ2cRsx8uO7Qjuy90++AS4\npiY8bXK27ILZAjC++U3jHYkSWapGlAwblt5+2USW7aCGebLCJo3N5slxjzlO6J7dJig8KypSO8t9\n+yaFTpQtYfZAqsg65ZT09RA+6WymzvLJJ6fbEBYe5wr1YF1hx21FUpSXJOz4hg8PF1nWHjcRi/Ww\n2QcTma69oMjI1Pk+66zkJOMHHRS9zzCCNoQlOgkTlxabOMWeL/e6CRubGBRZ9mFDlF35CBcMbtMU\nkRUWEWDP/+DBRGLrad8+VaBHiazu3eMdT1OIJbJU9bfAaOAFzFO9n6vqH2Ns+hgmxCIUETkTE+qx\nL3AD8Nc49uxsVNVWcffUuznhsRM4e7+zmfsvc32yAU9RceDuB/L2NW/z8OyHuWPyHWhLPALyeLLz\nOHAfJgvg/zivgrBnIgG82znYvNmE21mRFdbBCvNkLVliQgNt5yRTKvUdO4zIOvvs1PVhY7IstbXJ\nUCO7L/uzdhMbWKEGybmzLI0NF4wiKHZccWWxIVKuyAp6sroGZjLJFC4IyZTSLpkmI3axiRKCoV+Z\nRJZddrHt2a9fahhcWFm3vIu14ZJLUpN2uEImLClImHC3wtsVNZnsgfQOb6YMkG6YWhyRZcNsM4ms\n2lrTmT722KSHrX37aCEXrCs4hscl7Dsbfhh39EawXJhHLOo6u/RS4/2z3me7v2ACmEzhgnYcV5Rd\ncUJkcyGygud9yJD09a6twTqznc+g/WVlRhyLmCysX36Zvl+In5q/KWQNFxSRUuA1VT0JmNyYnavq\n2yKyd4Yi52Lm4EJVpycGGfdS1ZA5qHdOJi2ZxE3jb+LIPkcy78Z59OncJ/tG/0KG8AUAACAASURB\nVL+9Mw+Torr6/+fMzszAMGwzODKsIosIIuCCC4IKuIFrXH5EMRI1MSZvFn3jq09ING80iY+JS4wm\nRLMQjEvcQI2oQV8UBYO4sAm4IeAAgiIw+9zfH7cvXV1d1V0909vM3M/z9DO93K46dbum6n7vOfcc\niyUD9Cvrx9LZSzn976cz6/FZzDtrHoV5HgH0Fkv62K+UujPTRoCe0R8+XIcu+Q0e/TxZEC2yzHtm\n8OGXAtzQtWtYSDjTXLtnsc1amMbG8Jqg5ubImXInRmQZgeP0fvmFCybqyfLapx/du4cHS2ZfoGf7\n3SnITfII9/ozg9dg0i3U/DwMe/fqbSYisrwGicYGpzhyfi+IzSZkL1Y/5+bqxBLuEFH393r3jlzD\nFOS3Gz1atzOhj87kJM3NkWI23tqceOGXft/v318/AGbM0Fkwly+PHy4I0SIrFXOII0aEC4IbIegk\nnp1NTfqcg8iwVvO90lK9bhKizzVnqncnrfVkBSWeJ8u9zby8cIZP9zrT1ogspx3bt/t/Pnhw5DUl\nmcT1ZIUWB7eISFm8tq3AXQxyC9HFIDsku2t3M/vJ2Vy58EruOe0e/nHeP6zAsmQ9PYt78tKlL1Hb\nVMupfzuVXbUeeaUtlvTxfyLyCxE5RkTGmkfQL4vINBFZJyLvi8j1Hp93C4UgrgoVOL7Mf1uRgweT\nMML5uTMVs/u7ZibaOSPd0BDebryiwEZgOdu6E1/k54cHL42NelBzwQV6EGwWnfftG7newdhmUiw7\nRYdzPUisNVmJLjTPy/OvvzR6NJx9dnQfuNtWVupjMfbn5ER6iry2fc45cPTRke+5bY8lJmPh7hND\nnz4wdKgWyUH6qapKr0VyMmqUtt2N85zMzdUC0rmGyi9hhDMcrjVJAowAOP54bWvv3uFCr+7/k6B4\nnU/ObTkFdnFx/CQqzu14CfBk06ePd2il2xa/z3bvDoshryQxp5wSDhnesiWccVREP/daO+d3/H4e\naoPX+wMHRh+fW2SNGhUOQ/UiL09f88y1zJ0EJajIihV66bYL9P+fqV+YbIImvtgLvCsiiwllGARQ\nSl2bEqt8mDt37oHnkyZNYpIJvm1nPL3+aa5edDUzh820BYUt7Y7i/GIeOf8Rrl98PcfMO4ZFFy9i\nSI8hmTbLkqUsWbKEJUuWpGrzoVUSOIfGCogbby0iOcDdwBRgK7BCRJ5USq1zNPs2sFopdZaI9ALW\ni8jflFJR+cHcs65bt+q6Ps7PzUytG2c44J494fcbG6M9WU7MoMO5oN25rW3b9KDcDJqmTtUi6+WX\nwyILwh4HpfSMe0WFTpJh7DYiyx0uOG6cFgd79gRLfBEEU6umZ8/w7LN7UOccpPtl1jvpJP33tdfC\nIuuQQ3TR3TFjojPsnXCCd2Y7N+7j9Pq8b18tsOvr9XtGXDtrMRnKy8MCxD3Q9vrNc3LCYanO97xs\nj/cbBAmTChIu6N6XGbS7a1KZbQQRQLFwft/s108otGZNlruunB+J2N+3r/aw+RFLGBg7jzpKn+9d\nusDHH0d+lp+vzwHj7TKTKSI6nNjr/IjnyQL/c9xvW37viWihV1ERTv7j/k5xsV5fZ2x1FkxOxJPl\nJc6c9Oih/z8HD9ZhpqkkqMj6Z+iRbLagi0gaoopBOnGKrPbIV/Vf8b3nvseSj5cw/5z5nDjgxEyb\nZLG0ihzJ4Ven/orBPQYz8U8TmX/OfE4edHKmzbJkIe4JsWQWegyFsbeWCcAGpdTHACLyEDqE3Smy\nFOFyJV2Bz70Elv5++HlLS7SYMoPLeOGCThoaotdkmYE76MHD0KEw1uG7cwqyXbv0oMYMorp2jUzT\n7awrZUIG3WLRiCyvFOL5+Tp80J0xMVYx4qBMnKgHjIvjLFIw/ezOnGYwfeccOA4fHt0u1tobJ+4B\n29ixOiPjjh3h9yZN0rXQzG/lDKULMug3tHWtSGFhODOkVwiV3zqx1mC21bev92/h5X0Ksl+v9XnO\nbTn72Il5Hc9DBNHhgiecAI8/Ht82JxUV/nWuYtGrF+zcGWmnX0hpQUE41HDz5sjPQH9mwt5M+QfT\nb24R5xQsscIFg4osr7bO4/BKmOM+TnMtMR4xp/ftk0+Ce41HjdICyuC8Fo8bB0OG6DWvJSXhgt+p\nIqbIEpFqpdQnSqk/t2EfEnp48RR6pvAfInI08EVHXY+1bPMyZj0+i0kDJrHqylXWe2XpEFw17iqG\n9RrGRY9dxA+O+QE/OOYH2FpulnQiIqcDI4EDqQ2UUj8L8FV3uPqnaOHl5G7gKRHZCpQCX/O3IzJx\nhNvDIhL2Bnl9t6lJz6qadRUAn30WuWDcvGfwyp5mRFZJiR5ceK3HMIMOp9gy4YJeg3E/keU8bucA\naPv2tg/ii4q8k1W4993YqIWm8QZ5tYFga30SRSk9SMvL0yJr/PhwgWi/bSfiGWnL2qDzztPnm5/X\nIFZ9rqD2OTG2+gUYpcqT5Sdsggg5d/Fq0zbeeefF2LHR6/mCYPYVZO2YU3S4E1+AFhe9esGSJZFh\ntF7rsSB8vH5ewG3bwpMH7jBZN0qFw5Fj7cv53P3bdO2qIwDM/5Dz2PySVniRmxuumQWRIst5PW1N\nKGyixPNkPQGMBRCRx5RS5yaycRH5OzAJ6CkinwA/AQoApZS6Xyn1jIicJiIb0WGIsxM9gGynuaWZ\nW165hXvfvJd7T7+Xs4efHf9LFks7YtKASbz+jdc55+FzWLltJX848w+UFNhSepbUIyK/B4qBk4A/\nAucBy5O4i6nAW0qpySIyGFgsIocrpfZG2xJZi8g9+MvJ0TO1mzZ5HYceuBQVRYqsmhq9nsVrMLB2\nrbcoMp4b48UwBYSdmPBAg9OT5bW95mYd1jZ0aGTiC/O5EVkmDXNNTaTIStVgxvSb3yDStDE2xPIM\nxQt3cmK25RZBQ9oYNe2Vgr61xMsYl44BphOnKGiNyHL2tVNsVFdHn5PObcc6TtMmVuKQrgHnw4OE\nmjox/4NegsKN05Nl8BMqffvqOlKffurvqXJv18+T5fTOOvES/wcdpFPcu+voVVVF1zHzs72oSF+v\ncnP12q2ePXUB5rZSWamvSc59Tpvmfd4km3giy9kFgxLduFLq4gBtrkl0u+2FLXu2cMk/LyFHclh5\n5Uqb2MLSYenfvT9LZy/l6kVXM+4P4/jHef/g8AqPWBuLJbkcq5Q6XETeUUr9VERuB54N+N0tQLXj\ntVe4+mx0LS6UUptE5ENgGPCme2Pz589l+XId4lZePomBAydFfC6iPVV+niynwBk1Ct59Vz93e7IM\n776r1095eZ7MtpSCdevC9X0Mhx0WXnMFkWuy3OsxnJ4s91og5/5AD7TGjoWFCyPbxFuIHouqKu96\nVk5iiSxzPDk5WrD6CaFERIdbsMVboxLUk+Xsp0MOSV7xW4gtsoKKnaBrsmLtv7WJL5yYcDIj2Lzq\nHAXZh5nQMELHfQzV1XodlB9m22YdYSLMmKHXMubnw/r1wdZkeYksL4zAdmcgdOMXShjvf8F8r6Ii\nLF5MZkc3J5wACxZEitBYIsvs3ySpiVfsOggjRuhr7yuvhPfpzOaZynXD8USW8nluicMzG57h8icv\n55oJ1/Dj435Mbk4b7jIWSzugS34XHpz5IH99+69M+csU5p44l2+N/5YNH7SkEhOcsl9EDgI+BzwS\nJHuyAhgSKjOyDbgQcA+XPgZOBl4VkQpgKPCB18ZmzZrLtGnae/T883qdhRMR/zAkI2TM4KawMOwJ\ncg5KneTm+of3GQFQXa3XMrgHUQcfDB84jsIZLugVfmjSvnvh9GQ5t1VYGJ7VjiWC4uHOpOdFUE9W\nYaEO6YvVzomfFyNWxsF42w5yOZwwIXJNSVvw8+gkInyNhyFZIiuIJ2vYMD1B4LV9I4qCrG+LdZwm\nI55pa9avGfLz23buxqKwUIt+k+jG+fu4hUVenp54CXoeGXHlZ3tZmfbu+HlK450b5reYPBnefDPS\n++6H89oXRGQZRo7U7d57L/4+YuFVe8uQynXD8eZuRovIHhH5Cjg89HyPiHwlInvifLdT0tjcyPWL\nr+eqhVfxyPmPcOMJN1qBZelUzBo9i1cvf5V5b81jxkMz2PrV1kybZOm4LBSR7sCvgJXAR8Dfg3wx\nVJ7kGuB5YDXwkFJqrYhcKSLfDDW7BThWRN5B14m8TinlWbfAOZg12QXdn/uFFLk9Wfn54cLCzvAq\nJ2Y/fgkNRGDAgPD2nHTrBmecEX7t58ky22tq8p/ddq+9coaFmTUqbfFkxSJeOJSzjZ/9U6dGtjNc\neCH06xfd3mzL2T4RkRWEtoQJBrUhkd/k7ACrHPr1808+Aol7smKlVS8v1x5Jr/VvBnNOxPKE9OwZ\nLqR8yCH+v3cqcYYsFhXpSYWJE6PbHHaY9/e8MMfs14ennabDCv3CZ/v3967lZXCe7+PGwZQp/m0N\nJr18LMz10Xlu5uZ615BLlLauA2wtMTW6UsqqgwT4dM+nXPjohXQt7MrKK1fSq9ijnLzF0gkY2nMo\ny76xjFteuYXRvx/NL0/+JZeNucx6tSxJRSl1c+jpYyKyEChSSgWYVz3w/eeAQ13v3ed4vg29Lisw\nznVCzsQCIv4DPqe36Mwz9eDRDID8wgWNJ8v9mVlD5fScxZuNN/VpYmUXjCWyzPokp8gyxW8XLEid\nyDJ9FGsg7V5348YM7LzEpR/mN/HKfOeFV2a1WLQ1q6ATP5HZmnDBWPTpEzu8MdFBrrv+mdvT4+eR\nNPjVWvJj3Lhg7ZKNc2IliJgNgjnmePW/unXzDrU0obXbtoXfi1e6IBYzZ+q08wa/c8BZUsLr/bYQ\ny5OVStK89LHj8tzG5xh3/zhOP+R0Fl28yAosS6enMK+QmyffzOJZi7lr+V1Mmz+NDZ9vyLRZlg6A\niIwXkUrH668DDwM3i4jHsCH1ONf+tLSEhY7z5h5rwGc8WaWl0SFVXgKnW7fYniwID2ziDbYKCnQG\nLq/ww/379SJ6P5Hl9IL5kSqRZcK7vNaKGYzdsUI1nX+DkGi4YKLHnwpPVjISX7RlfYzTwxmkr72K\nS0+fHnx/iYqsIDY4yc8PnhQjFq1dnxarvTtboh9FRWFPbiLbT1RkOQVWLIzd7nPTvH/88Ynt10mm\nPFlWZLWRppYmbnjxBq546goePv9hfnz8j8kR260Wi2FM5RjeuOINpgycwjHzjuGHz/+QL+sCOxss\nFi/uAxoAROQE4FbgL8CXwP2ZMMjpMTDhdWZgeeyxev2H32DbCLN4yRKGDdN/S0v1wMXLk9XUpGvA\niOj1JjNmhBeR+1FYqNfceCW+cNroRX6+FmixCoWmal2LXw0oL2J5EZ1/g+AWCvE8T0GL2wbdXiL4\nHV+iwm/mzNjhgPHwCheMhVcfJJIi3UwspErgn3decPEQi1SIrFQds+Hoo8PFvpOJc6LKiRHMbckG\n2GE9WSIyTUTWicj7InK9x+cnisgXIrIy9Lgx1TYliy17tjD5z5P5z7b/sPLKlZzQP8AKXYulE5Kf\nm891E6/jvW+9x+7a3Rx696H8bsXvqG/ySLVmscQn17E26mvA/Uqpx5RSNwFtTKTdOtxhWXl54dC9\nysrwQOGss7xFgV9InlNIOWtVffCBzmTo/s7AgbB7d1ggmUxssTCJDbxEm/v43BQU6FDD5ubIwZ1T\noKVq0BdEXHnVE3LSWpGVSPhUouGC6fZkBfl92iooEvEklJfr/5m2MmGCTvKQzbQ106IXbfHeGdz2\nOM/xbt2S8/vE26ehtFRncGyLyOqQniwRyUEXc5yKLhZ5kYgM82j6ilJqbOhxSyptShYL31/Ikfcf\nydTBU3n2kmfpU5LEXKsWSwelsrSSeTPm8cwlz7BowyKG3DWEe5bfQ11TXaZNs7QvckXE+AemAC85\nPkuR3yQ27sGSM8zPOaAtKQnPyJ98critXwY/p3fJPTu/bVv0d0aP1n/3RlXy8qeoSBf7bGz092T5\nDcSNyGps9A5LHD5cZzNMBUcdBeecE7vN4MEwKEYBmtaKrHgp3CdODBfmTVRkpsOTZX7nqVNTM2B2\nk4gna9q02IkXgjJ4cPrrgSVKKjxZlZV6MidRunULJ5lwbz8ZqdTd+B1DMs9/Q6bOg1TfjCYAG5RS\nHwOIyEPADGCdq11StGVLi643UFSkZ13M34KC5KnXuqY6rl98PU+sf4JHL3iU46qPS86GLZZOxNi+\nY1l08SKWb1nOz17+Gb9Y+guumXANc8bOoWdxnKI4FgssAF4WkZ3oNO7/ByAiQ9Ahg4EQkWnAb9AT\njvOUUre5Pv8hcAm6hEk+MBzopZT6Inpbka+dRXLdN/gpU/TA3IgSd3ZB93bcnixn+Jnf4MGdjjoW\nJSV6cLVrl//2/AZZJvthbW3kuicjPMaMCW5HouTlxQ9F7NIldq2j1sxwu9ODe4ksZ0KBbPRkGZu8\nEh+kgi5ddPa+dBSATRaJrj1qDakQWRCZeTHocfTtq+vcQWSIcXW1ToSRLOKtEU1Fv5trkzMZUTpI\ntciqAjY7Xn+KFl5ujhGRVehCkD9SSq1pzc7279ezWrW1OvTB/O3SBb6IuiXqmb5p03TnO4VZeTnc\neWd0+7e3ruHMBy+msnAIN1evYs975fx7kz6ZJ3gclVL6Bpnq+FiLpb0yoWoCCy9eyKrPVvHbN37L\nkLuGcP6I8/n2+G8zunJ0ps2zZClKqZ+LyIvomljPK3XgtpwDfCfINhyRFlOArcAKEXlSKXVgElAp\n9Wvg16H2ZwDf8xJY3jb6D+DdwsCILK+BkzOFu9c6E68wLrNOKig5OXDKKbpmj1fI37BhsdfjiOh6\nXCNHBt9nthAvxXus75jfMZnhgkOH+hd2bQ1+x3fkkf6FmVNBbi4cd1ykTZbUhAsmA2fa9HiiKFHy\n83X438aN3p+nQmQFqZuWCjISVuHiP0C1Umq/iEwHnkAXfIxi7ty5B567i4eBjttcuzb6e36ux8JC\nuPVWLcbq68OizP0DN7c0c8frd3Dr0ts4dNv/0m/nFTy+VA58r6AA/vWv6O3v2qXVf25upIirqIAV\nK6Lbf/UVXHVVWPQVFWkbu3eH666Lbt/QAC+8EG5n/hYXxw6PsFiyjTGVY3hgxgPcdvJt3PfmfZy5\n4Ex6l/Tm8jGXc/GoiynvkoRCGZaMsGTJEpYsWZL07SqlXvd47/0ENhE00sJwEdqD5omXJyvoAN4v\nTfqJJ+rreUODfu32ZM2Y4b3mKjc3MZFlbPRLLBBvkHXwwfDRR5Hisa6dRAC3ZpBbH1pKao530KDY\nv3EiiS+OPDK4HYng3m9xcbD1ep2ZdHiyWrtWqLo6fF1INen2/qSKi9yl5tNAqkXWFqDa8frg0HsH\nUErtdTx/VkR+JyI9vAo+OkVWIsTKinRcnGi/jbs2ctkTl5Gbk8vyOW8wqDy4eunZU984Gxr0Rbmu\nTv/1u/nl52vPWn19WPTV1/uLxP374a679HbNtuvrtWdt+fLo9jt26IJ7hYWRj759YfHi6PZ79sAP\nfhAWb+ZRXg7f8Zgrrq+Hl1+O3n6XLnoxtsUSjz4lfbjpxJu44fgbeOnDl/jTqj9xw0s3cNKAk7jo\nsIs4Y+gZlBTEqEBpyTrcE2I//elPM2dMJEEjLRCRLsA04Nt+G3PfZ/Lzgw+c/DxZxnu0Y4f+m5en\ni6cWF8Pmzf6zsvn5yRE5SsGhh4aLGvtRUaFFlhFjJpFGeyBRkXXssfq3Xro0LJ5KS6OLxTrJZDRL\nazx1qSbbvDaZpLWerKKi2OecIV7RZifu0NHp0+HZZ1MTvhqLdIjbdJFqkbUCGCIi/YFtwIXo2cAD\niEiFUqom9HwCIF4CK900NDdw+2u3c/uy27nxhBu59qhrW5Wa3dRGKSyMH4tcVASzZgXfdvfu+h8g\nKD176huhEWNGmPmJuLw8XfDP2ba+Hr70WfGwdy/86lfhduZRVgavR80560XbRvQVFIT7qaoKXnop\nuv3u3VrcOdsXFECvXt6evtpaePrp6PYlJXDEEdHtW1r0cRYUpC7lsCUYuTm5nDL4FE4ZfApf1n3J\nE+ue4MG3H+TKhVdyyuBTmHnoTE475DTr4bKkizOBpbFCBR94YO6B61Zz8ySOP35S4HVR8QbCJltY\nYaFObOEUXV4kc1Bv1mjEwnjYjMiaPLn9iaygIsSE8o0ZE3x9UaJrslJBNomsbLIl06Q6XDBe0WbD\ntGmRIYIQ9mynU2RNmNC2UgGtIVXRFpBikaWUahaRa4DnCS8sXisiV+qP1f3AeSJyNdCIXsD8tVTa\nFISXP3qZqxddzaDyQayYs4KB5R3DDRMrHMSL4mL45jeDt+/Z09sj5kdFhRZaRowZj5/fLEZBgc6E\nZNqZh9+C7P374ZFHwu0bGvSje3dYuDC6/datOh7ehIIUFOjHwIGwalV0+5oa+NrXwu2MkKushDvu\niG6/Zw/ce2+4bX6+/tu9u65B4qahAVavDrczj6Ki9C1WzgbKisq4dMylXDrmUnbu38nT65/m4TUP\nc/WiqxlfNZ7pQ6Yzfch0RvQegdgpUktw4kZaOLiQGKGCAJddNpcTT9TPd+zQkznPPBNsPUO8gVa3\nbpGhLvGEQbLXUMTDiEAzY15Wlv2psw2tvWQMHx68rfP3SPclKhs9We3l3EgH2bImyy2wnKRKZHkV\ncx48ODX7ikUqoy1SPl+vlHoOONT13n2O5/cA96TajiBs3LWR/3npf1i2eRm/nfZbZg6baQdtKSQn\nR/+TBa2aXlKSmKevZ08tsoJy8MHhjFzOME+/C0xZGcydGxZvRsj5DXCam/U6PRMy6hR9XiJr5064\n/PJwO5MmuaIC3noruv0nn2gPnVvE9e/v7fHcvh2uuSbc1rSvqICbbopuv2cPzJ8fbme+U1amF827\naWiATZvC7cwjiFfXj17FvZh9xGxmHzGbfQ37eOGDF3hu43Oc/vfTaVEtnDzoZCYPnMxJA06iqltV\n63Zi6SzEjbQAEJEy4ER0lkFftm4NPzeZuE47Ldi6idYOhP1uT8nyZAUN2zH7Ky1Nzn4zQSpv9ZmM\njDC/TTYl4BowQJcMiMeECZkNHbNr1jSpElkVFZlZJ5VObFAUULO3hptfuZmH3nuI7x/zfR6Y8QDF\n+fa/qzOTm6vXksUqwFhUFK6DEoTycrjttvjtDAcd5C2m/Kiq0iUMjBgzf/0oLoZzz40UfI2N/vHb\n9fXw9tvhdubRo4e3yKqpgbPPjmzb2KjFrJdn8MMPdWiDW5QNHOgtEvd8XsID/z2D/PwZHJOvqC1e\nz7qPX2TZyif4Xsn3KO9SzsR+E/WjeiIVucP407ycqO2Xl3uL3Npa+M9/Itvm5elzwmuNilLhgqx2\nbib7CRhpATAT+JdSqjbRfQRNLpDobHa8gWffvt4ZdVNFWZlO2GDPe2+c/ZLuPurTR1+Hk1GgNll0\n6RJ/PTxkxqthOPfc9HuEs5GysuSmb+9siGonK8xERCXb1g93f8jty25n/rvzuXT0pdx4wo30Ku6V\n1H1YLJZgGE+fW5SJ6BTSbvbuheef15mPnO2Li+Gii1tYvX01r25+VT8+eZXP9++i+/4j6d04np71\n4ymvO4KiuoH06in8+tfR29+8WYeDmu2bv1VV8OKL0e03bNB2mvpIRpgNHeqdTfTjj3XJCdPW1Pzp\n3x/mzYtuX1MDP/lJdPvKSvjud6Pbf/klPPxwdHs/z2NdnQ5PdbcvKkpujLyIoJTqUMNxEVH796uY\nkzKxeP99LeiPOML7XHezfbs+B1M5C7xggZ5pnjw5dfvIFj76KH5yj7ayIBRset55dvBuiWTBAj3R\n19rrhyW5JPMe1ek8WUopln26jLuX383zm55nztg5rPnWGvp2TUJ5cYvF0mpycxObMSst1SLFmxxG\nVYxiVMUorhp3FQA79u3gza1vsmLrClZsfZCl277L3oa9jKkcw/eeG8PoitGMrhzNiN4jKMorol8/\neO214PYccogWii0tWow1N+u/follKirgvvu0eDOPxkb/GefCQr3Y3ojJ5mb9Hb8BW22tzjJqBKLZ\nfkWFt8j67DOYMyfczmy/uhpStCa4Q9GWAVKinqzSUus1SiapFlgWSzys8O6YdBpP1vZ92/nbO3/j\njyv/SItqYc7YOcw5cg7dCttR+XGLxZJUduzbwVufvcXbn73N2zX6sXHXRgZ2H8ioilEc3udwRlWM\n4rA+hzGg+4BWZRi1RNJRPVltuT9t3Ki9nePGabGeDSxYoL2qxx6baUs6BsaTdf75NnutxZLNJPMe\n1aFF1tavtvL42sd5bO1jrNy2krMOPYs5Y+dwXPVxNqGFxWLxpL6pnvWfr+edmnd4t+Zd3t2uH1/U\nfcHI3iM5rM9hjOqjhdfIPiOpKKmw15MEsCIrmk2btNdx/Hhd1yYbqKvTs+vZlDChPbNnDyxaBBdc\nYPvUYslmbLigD7WNtSz9ZCmLP1jM4g8W89EXH3HG0DO49qhrmTp4Kl3ybcCrxWKJTWFeIYdXHM7h\nFYdHvL+7djerd6zmve3v8d729/jnun+yevtqFIqRvUcysvdIhvcezvBewxneezhVXaus+LIEwoSI\nZtPpUlSUaQs6Fq3NqGqxWNovKfdkicg04DeEszdF5VcTkTuB6cA+4DKlVFTusSAzhTe8eANLPlrC\nKYNO4dTBpzKhagL5uZkPdF2yZElEDv72grU7/bRX29ur3dA225VS1OyrYfX21azZsYa1O9eyduda\n1uxYw76GfQztOZShPYcypMcQBpUPYlD5IAZ2H8hBXQ9q87WpvfZ5NnmyAt6fJgF3APnADqXUSR5t\n2uTJ2rtXF04/+midTbMj017P22SwbJn+jYOI6c7cT4lg+ykYtp+C0248WSKSA9wNTAG2AitE5Eml\n1DpHm+nAYKXUISJyFPB74OjW7O/nk3+elTPH7fXktnann/Zqe3u1G9pmu4hQWVpJZWklUwZNifjs\ni7ov2PD5BtZ/vp5Nuzbx8scv88CqB/hw94ds37ed3iW96detH3279qWifgGrxQAACiVJREFUpIKK\nkgp6l/SmR5celBeVU96lnK4FXSktKKWkoITi/GIKcwvJzclts92WwPenMnQdx1OVUltEJCXpZ0tK\ndLrqzlBkvDOft8ccE7xtZ+6nRLD9FAzbT5kh1eGCE4ANSqmPAUTkIWAGsM7RZgbwFwCl1BsiUiYi\nFUqpmkR3lo0Cy2KxdE66F3VnfNV4xleNj/qssbmRbXu3sfnLzXy29zNq9tVQs1d7xHbX7daP2t3s\nbdjL3oa97Gvcx/7G/dQ31ZMjORTkFtC8tJk7b7uTvJw8cnNyyZEcciQHQfRfkQPPnZ/n5eQdeOTn\n5JOfm09BbgEFuQUU5RVRmFtIUV7RgUeXvC70796fK8ZekYFeTClB7k8XA48ppbYAKKV2psIQEV14\n1WKxWCwdh1SLrCpgs+P1p+gbW6w2W0LvJSyyLBaLpT2Qn5tPdVk11WXVCX1PKUWzaqa+qZ6ba2/m\nR9/5Ec2qmaaWJpRStKgWWlQLCv3c+V6LaqGppYlm1UxzSzONLY00tTTR0Nxw4FHfVE99cz11TXXU\nNdVR21hLbVMt9U31KeqJjBLk/jQUyBeRfwOlwJ1Kqb+myT6LxWKxtGNSuiZLRM4Fpiqlvhl6/f+A\nCUqpax1tngZ+oZR6LfT6BeA6pdRK17baRxpEi8ViscQkG9ZkBbw/3QUcCUwGSoBlwGlKqY2ubdn7\nk8VisXQQ2sWaLLRXyjlVe3DoPXebfnHaZMVN2WKxWCwdhiD3p0+BnUqpOqBORF4BRgMRIsvenywW\ni8XiJtWVNVcAQ0Skv4gUABcCT7naPAV8HUBEjga+aM16LIvFYrFYEiDI/elJ4DgRyRWRYuAoYG2a\n7bRYLBZLOySlniylVLOIXAM8TzhF7loRuVJ/rO5XSj0jIqeJyEZ0CvfZqbTJYrFYLJaA96d1IvIv\n4B2gGbhfKbUmg2ZbLBaLpZ2Q8jpZFovFYrFYLBaLxdKZSHW4YMKIyDQRWSci74vI9T5tJonIWyLy\nXijrU8aJZ7eI/DBk80oReVdEmkSkeyZsdRPA9m4i8pSIrArZflkGzIwigN3dReSfIvK2iLwuIiMy\nYacbEZknIjUi8k6MNneKyIZQn49Jp31+xLNbRA4VkddEpE5Evp9u+2IRwPaLQ+fJ2yKyVERGpdtG\nLwLYfVbI5rdEZLmITEy3jX4EOc9D7caLSKOInJMu25JJkHtWZ0FEDhaRl0RkdehecW3o/XIReV5E\n1ovIv0L1x8x3fhy61q0VkVMzZ336EZGc0JjgqdBr208uRJf1eSR03KtF5CjbT9GIyH+FxsTviMh8\nESmw/aTxuhe1pm9EZGyof98Xkd8E2rlSKmseaNG3EegP5AOrgGGuNmXAaqAq9LpXe7Db1f4M4IVM\n251An/8YnQESoBfwOZDXDuz+JXBT6PmhWdTnxwFjgHd8Pp8OLAo9Pwp4PdM2B7S7FzoT283A9zNt\nb4K2Hw2UhZ5Pa0d9Xux4PgpYm2mbg9oeapMDvAgsBM7JtM2tOMaErv0d/QFUAmNCz0uB9cAw4DZ0\n1mCA64FbQ89HAG+hly4MCPWlZPo40thf/wX8DXgq9Nr2U3QfPQjMDj3PQ48BbT9F9tFBwAdAQej1\nP4BLbT8d6J+oe1Fr+gZ4Axgfev4MOjttzH1nmyfrQHFIpVQjYIpDOklLccgECWK3k4uABWmxLD5B\nbFdA19DzrsDnSqmmNNroRRC7RwAvASil1gMDRKR3es2MRim1FNgdo0lEgW6gTEQq0mFbLOLZrZTa\nqZT6D5DpcyOKALa/rpT6MvTydXQNpYwTwO79jpelQEvKjQpIgPMc4DvAo8D21FuUEhK99ndolFKf\nKaVWhZ7vRScJORjdJ38ONfszMDP0/CzgIaVUk1LqI2AD0bXKOiQicjBwGvBHx9u2nxyISDfgeKXU\nAwCh4/8S209e5AIlIpIHdEFnSrX9hO+9KKG+EZFKoKtSakWo3V8c3/El20SWV3FI92BnKNBDRP4t\nIitEZFbarPMniN0AiEgX9Ez5Y2mwKwhBbL8bGCEiW4G3ge+mybZYBLH7beAcABGZgE7XfHBarGsb\nfgW6LenhCuDZTBsRFBGZKSJrgaeByzNtT1BE5CBgplLqXqC9pkAPfO3vbIjIAPTs8etAhQplDVZK\nfQb0CTXrzNe6O4AfoScxDbafIhkI7BSRB0JhlfeLzvJp+8mBUmorcDvwCfqYv1RKvYDtp1j0SbBv\nqtDXd0Oga322iawg5AFj0SFV04CbRGRIZk1KiDOBpUqpLzJtSAJMBd5SSh0EHAHcIyKlGbYpCLcC\n5SKyEvg22gXcnFmTLNmMiJyEznDabtbWKKWeUEoNR8+q3ZJpexLgN0T2c3sVWhYXofvDo8B3Qx4t\nd4atTp1xS0ROB2pCXr9Y532n7ifC4717lFJj0Rmo/xt7PkUgen3/DHTY8kFoj9Yl2H5KhJT0TaqL\nESdK0opDppkgdhsuJHtCBSGY7bOBXwAopTaJyIfoOPs302KhN3HtVkp9hWNmP2T3B2mxrm0EKtBt\nSS4icjhwPzBNKRUvzC3rUEotFZFBItJDKbUr0/YEYBzwkIgIej3fdBFpVEq5a1VlM4lc+zsFoXCl\nR4G/KqWeDL1dIyIVSqmaUNiNCQ/trNe6icBZInIaOrSrq4j8FfjM9lMEnwKblVJmrPEYWmTZ8ymS\nk4EPzHVfRB4HjsX2UywS7ZtW9Vm2ebLaa3HIIHYTyl5yIvoYsoUgtn+M/icmtDZoKJkXK3HtDmUl\nyg89nwO8HJpVzQYE/xnMbC7QHctud7tsw9d2EalG38BnKaU2pdWq+MSye7Dj+Vj0wudsEli+tiul\nBoUeA9GD8m+1M4EFAa/9nYw/AWuUUr91vPcUcFno+aWE74FPAReGMqENBIYAy9NlaKZQSt2glKpW\nSg1CnzMvKaVmoUN+Lws1s/2k73ubRWRo6K0p6MRn9nyK5BPgaBEpCk1aTQHWYPvJiftelFDfhEIK\nvxSRCaE+/joBxvJZ5clS7bQ4ZBC7Q01nAv9SStVmylY3AW2/BXjQkf7yukwP5ALaPRz4s4i0oC/M\n38icxWFE5O/AJKCniHwC/AQoIMsLdMezOyTA30QnR2kRke8CI7JB2MazHbgJ6AH8LnQBbVRKZXwh\ncAC7zxWRrwMNQC1wQaZsdRPAdiftMozF7zqUYbMyhugSApcA74rIW+jf9QZ0Jq+HReRy9KTdBQBK\nqTUi8jB6QNiIFtrt8lxIErdi+8nNtcD80ITpB+j7YS62nw6glFouIo+il0Q0hv7ej74Xd/p+8rkX\n3Qo8kmDffBud7bIIeEYp9VzcfXfgfrVYLBaLxWKxWCyWtJNt4YIWi8VisVgsFovF0q6xIstisVgs\nFovFYrFYkogVWRaLxWKxWCwWi8WSRKzIslgsFovFYrFYLJYkYkWWxWKxWCwWi8VisSQRK7IsFovF\nYrFYLBaLJYlYkWWxWCwWi8VisVgsSeT/A60z1VMd65RvAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11ba2ddd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"\n",
"with model:\n",
"\n",
" # Initial values for stochastic nodes\n",
" start = {'early_mean': 2., 'late_mean': 3.}\n",
"\n",
" tr = sample(1000, start=start)\n",
"\n",
" traceplot(tr, varnames=[early_mean, late_mean], priors=[Exponential.dist(1)]*2)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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