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@fonnesbeck
Last active May 26, 2016 02:40
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{
"cells": [
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from pymc3 import Normal, sample, Model, traceplot, plots, Metropolis, Potential, variational, HalfCauchy,summary\n",
"from theano import scan, shared\n",
"from scipy import optimize\n",
"import theano.tensor as tt\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"y = shared(np.array([15, 10, 16, 11, 9, 11, 10, 18], dtype=np.float32))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied log-transform to sigma and added transformed sigma_log to model.\n"
]
}
],
"source": [
"with Model() as arma_model:\n",
"\n",
" sigma = HalfCauchy('sigma', 5)\n",
" theta = Normal('theta', 0, sd=2)\n",
" phi = Normal('phi', 0, sd=2)\n",
" mu = Normal('mu', 0, sd=10)\n",
"\n",
" err0 = y[0] - (mu + phi*mu)\n",
" \n",
" def calc_next(last_y, this_y, err, mu, phi, theta):\n",
" nu_t = mu + phi*last_y + theta*err\n",
" return this_y - nu_t\n",
" \n",
" err, _ = scan(fn=calc_next,\n",
" sequences=dict(input=y, taps=[-1,0]),\n",
" outputs_info=[err0],\n",
" non_sequences=[mu, phi, theta])\n",
" \n",
" like = Potential('like', Normal.dist(0, sd=sigma).logp(err))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Assigned NUTS to sigma_log\n",
"Assigned NUTS to theta\n",
"Assigned NUTS to phi\n",
"Assigned NUTS to mu\n",
" [-----------------100%-----------------] 2000 of 2000 complete in 35.4 sec"
]
}
],
"source": [
"with arma_model:\n",
" trace = sample(2000)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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T0Co1jLM5zpjlWF65Mt6T5d5QSAfNDRs0KN6zlG1OlouOa++95fmJJ+K/T3Vc\nabGIoNyjTIx2FVl6POm54nprdFnPPhv/22XLJPc8jNbW8P3nX998omGa6j0CZL3Wrwcef1w8bsuW\nxf/G9fYyi22nN8/d80kLXuiNGJ3/2LHyPsyT1dIiHjVXZEVRYTIZUVQX3BfArsyRa+MKiGfscAB1\nAF4mopeZOTDIYdq0adte19fXo97qd3d5br5Z7rq9+mrnLHPalbjySumddcYZwD77pJ7e6B40NDSg\noaEhL/MmojchURAzmfkDACXQwjccfzNVZikas3Gj3F0lktCtPn0Sjb23Y923sjEE3ntPwq/Gj4//\nPGxeCxZ4r0ePlucwkaXr0KOH5PX07h3/XXl5+vlLSkWF5Ht++KHXpNn9TaZ5XnfdJSW21bBWXA9Z\nr17yOqj0dFBOViqh5IqsHj3EqFu/3hOPyX6r32daiGLFCuCZZ6Qi4447hk/X3i7j+eQTCQEdONAL\n6XvlFW+aTGlqknVta/P2uYqHTESxTltV5XlHliwR8a9ja2yMP9bSRfdJnz7B36c6rlzx6I4VkP2V\nbsU+v8gC5LUe6271PzenDEidG9naGlyRsKPD84oVIodal+Gew8uWJT8WtOS6Ck/dRkC8J6upySso\n456jw4bJ/52bC+mfvwpZ1xvmPkdNFCJrIYAdAGQSPZqyPC7Eu7WGmZsBNBPRcwD2BJBSZBldn2ef\nBS65REqhhv1hGoVju+3Em3jOOcDLL5voNQT/Da8oS+NCmhKfCuAuIuqAFF26i5k/jnIhUeEPF+zo\n8AxFNSAmTUrMMwA84y6bUKkwj1U6RoUrRIKW3dYGzHUysLXnFOAZ2Bs2yB30yZPjvwPEiK6rSyyb\nrt6VzZu9AhWuYag9s9ING0yWZ6TNjkeODPZkBeVkZSKyevUSo3f9erlW5cuTpV6oVPlqWoCjtdUT\n+BouqI2n3e3w9tvSaypovs3NIngGDpR9pd5YDQd1vbYuW7bIZ1u2eOXx29ulwp8KRKLgPLEPPhBh\n7x5rmaKGdmWlZ7Sn4yFV71+QYZ5JcQ9XQLS3ew2TXUHhF2zMwIwZwK67xs/Dj+s5csmXiAgjSGRN\nmiS5W4qOf8sWrwGzX2QprsjSXEe/J0vPu7Y2Oe/8Ic6trfJ799jS7ZKvBvBRRDYPAPA2ET1BRA/q\nI8VvUpbHBfAAgIOIqDzWd2s/AO9EMF6jk7N4sTQcvv12uTNolAZnnCF3Mm+6qdgjMboDsZzeq5j5\nS5Ac3j2FfIAKAAAgAElEQVQALCnysEJxK5j5DU+/MRHWzDObMttq/C1Z4uW7hIkTvzHs3lkPq54X\nhoosIDGvROf10EPASy8ljleN4Hff9ZLf/SImk7vxyQpV6LYPyh0K8mS5IissJ4fI21eVlVKQaezY\n9ELn9Ps33sisCIV641IJTxVZSnm5Fy6oot/1nsyfHx4K99Zb8cUO6upESLoiK2idH31Ucoaeesr7\nbOtWL0S0d28JF9Tluvsgilw1Pb6GDwcOPFBe9+qVXr7cQw95FSnd4yUTEePmZLW3x+dkAcF9rHT+\neky4/wVuSG1YA2N3fIXwZGmIsyv63BwrQMa7YQPwwAMyJhX6evz4e2Dps4YDaiiwm/Ol/w29e8vx\n6Rbs0f8Wf7hgRUW01VtdohBZ0wBMBfA7AFc7j1DSKY/LzIsAPAHgTQCvAPgrM78dwXiNTsy6dVIK\ndNo04Igjij0aw6WsTIpgXHaZZ8wZRj6J3ai7CBI2OA5AybYh12R1Ndz9OTzua//FXqd94QVPsGza\n5CXkA+EGggqMV14B3ondptRwIr9o81cvDMrJWrUq2Mj0h2+5d5j96FgrKqTSoX+8WgDAHYN/XJl4\n9dKpBuhWLdPvg6oLqufBv5/8ItAd3/DhEkYdJlbD5vPpp8nXS9mwQcQQkHq7qBdA0Wpr2survFyE\n0+efpxYOblhac7PcZKutjQ9pC9pX7v5YtSr+s/Z2qbJXU5PYU06/zxZ/nyz3POzZM3jbucvr6IgX\noO532YgsNfb1OHPPt/Jy8fxoyK1uHz1Ht271lqm/6xFryR7k4XK3ub+KZj7Q/pmuJ8uPO87PPhNv\nbNjY1EvqeiH9niwVWYBUb+zokJvybW1SzVRvMLjVBZllu7n/OVESRQn3ZyFVnSpjr+dAKj2l+l3S\n8rix979n5t2YeQ9mvi7XsRqdG60kePTREpZmlB677Qb8z/8AP/5xsUdidHWI6FUA90GuY6cw8wRm\nTnqDrxRQT9bmzV6ulR/1mLS2Sqida3irseT27Vm1SkKJUuX71NXJsxos/hAZ/80R9SK5guKZZyQP\ndsUKEXzV1cDhhycame4d5rAxqTBzx6h3ltUAGzQICfgFUSrSyQtzDe45cyQM0i8SNRRJjbkw70CY\nmMpUZKXbm8yt7JrsbjyzGOdhnqz2di888/PPU1f00+OjvV2O56oqMVjdcQd5slzjevZsMW7VwNVq\ndG5OTdQiS0VmRYUcXyeeKGN6773E3/hFVtD8Mh2XiixdxyCRBUgYpjbk1X2h20m3mTbtBrzUiaCb\nCuqprK+P3/9R06NHvFBasya5d1XH/uyz8n+i/00uJ50E7LyzvPaLLNfb7G7DujrJQ9XjGvDCBV1P\nlv5PlZUlFuKIgiiqC34XwH8AaJDQUAD35zpfw3BhBs49V07gq0vejOreXHop8N//SkiIYeSR05l5\nH2a+gpk/LPZg0kXDedwQOr8RWlcnnq9Vq2S6IGPONVzUSxZklLvzVmNE5+c3DBsb4w0w7d3leiNc\nsbVggUzfu3fqULugMbl9cRQ3XBAIFmI1NalzKFpbxfPnn787PpeyMhG9mzaJsfX++8HTuCIrmScr\nTGS1tCT2CAubj7/oQTok82QtXiwhmO4+rqjwPFmul2vjxmCREzTuNWtEoASJrCBPVlApdH/1Tdfb\n4P5ebwQ891z4eobBDBx1lBw/vXpJPhogY2aWHl1680BJJrKi8GS1tISLLB1bc3P8/IlELG/dKuui\nxVj0d6tXJy5Tz6u+faMtg9/SIuF+iltIBhCx7u7vvff2/leCbjr07u3l6SnV1d5/gv6nqPj0e7L0\nnCGS/9HNm71ltLTEiyzdbkTyu6AqrLkSRbjgDwAcCKARAJj5fQADI5ivYWzjqqvkzuKdd1pRhVKn\ntha48UYRxflqqGkYzPxuPudPREcT0SIieo+ILg6Z5loiep+I3iCivZLN7/DDxXhIp2BDv34S3qfi\nye/pAeLnoedZKuPJn0vkNwy1EAUghSr0rrJ61oLGosahf9npeLL8Yo85sdhEEDU1IqA++ih8mvXr\nvTvTQeFTQZ6s5mYRV2okBnlg1NPiX+d0RVYQW7ZIjyn/fDIpphA0DpdNm7xcF9cI9nuyVGQ1Nib3\nZLW0eHk36l2pqJAiIi5B28K/HTo64j1ZrojVsM2JE+N/oyXAn38+eH2D0FweQNIOXC+pe/PgiSdE\nwGze7IVh6u/981NyEVlr1yZWF1RUZLnHQs+ensiqqvK8sMm8mCqysmnHkIxXXkm8uTNhQvx79/tx\n4yRHEfD+V/SY6d8fGDUqeDkqsnbaSZ5dAeWKLBfddrq+ug0qKuT369Z5+2LQoPz034tilluZeVsk\nIxFVAChAWp3RXbjrLuD666U3RJAr2Sg9jjhCwhKsd5bRGSGiMgDXA5gMYDcAXyOicb5pjgGwMzOP\nBnA2gBuTzXPQIM+Y8F/M/cbRF74gz0FVzNRgUEOsrc1L7k5VnMIVSm5TT0UNXCDeWA4TDa7gyCZc\nMEhslZd71dbCqKkR0bDcX5PYIZXRG1bkw329xx6J06iHTl+rcZssJ0tJtk7qocmXyHrhBfFkjR4t\nOWKAXE/Ly8XgbGwUo133/8aNyUXW88975f5VIHV0JJYPT1dkqdcqqHmtK7z79pXn/v2lOMgnnwSv\nbxCZVKTcvFl6fi1xSulE7clywwJ79UruyXKPhbo62VeaY6QiOSyXU8fnHrdR0NGReA6WlSUKbX+x\nEteT6nq8+/UL3z8qsjTvrLbWE1Dudhvh1C3XcEx33+i0ffp4IddEIvy22y75+mZDFCLrWSL6PwA1\nRHQkgLsBPBTBfA0DL74InHeeVPQZ6m9XbZQ0V18tnsdXXy32SAwjYyYAeD9WwbAVUlhjim+aKQBu\nAQBmfhVAHyIKyCDy0Au8P8E6yKvS3p7YywVI9CjNm+cZOn7jae7ceG+yG56n1blc1ODw43qy9L2O\nS5P0gzxZQVEHmoPiHw+QWPkuDM0bSiZaXKM0HU+WWwxC95N/LG4lQhWWd90lxr5/+2TiyQLivWdq\nUKZjuDc2xoc5hRnQbriVbpu6Oq/whW5TXWe32ELQPF3DWUO01AB28R87+pmLCikgUWS51fcAEdiH\nHeaVm0+Fu6x0hL+7H/y5fFGLLADYZRfg0EM9LxOQWmT17CnntSucXJGlLRDcY1DzkYLO1WxxcwGT\n4d9PeizqTYp0hK+bi6XvtViF68lyQw3dcEzF35bCFbxReviUKETWzwCsBrAAcjfvUQCXRDBfo5vz\n3nvAV74C3HorsFfSQByjFBkwALjuOintnq8eFEb3hYhqiehSIro59n40ER0X0eyHAnDToD+JfZZs\nmuUB08ThVr5KhvaCUcOqrQ04+GDxQLihdYAXUggkGgmayL/33uJJSyWywkL1ysrE0FPD2i+y1JBu\nbPSqxYXlZM2Z43kf1MByDex0Kp/ttFPqamBBJa5d/B5BDZN0haZ/LK4R7Bpp69fnFi7oztsVp2Gl\n010+/tjbL8lKxLvG6YABwDHHSMXDHXaQz7WUuSuykuVkueuydasUJhg2LHi9UnmyNEwUiD8GXZFV\nXi7nwL77isDaujV1TzCXxYslbC3Vb/Ra1d7uiceRI8UGCbopoWQqsnQdx4/3jrMwkbVwYXwp8lGj\nZL+7oZXuWKqrvc/uv18E2cKFcqM6SPRmw5Yt6acD+Ld5ba0cL/4S7P5mzy7uMaHTat6e+3v3P0eL\nYwTtGzfEMuxGURTkXMiRmTsA3Bx7GEYkrFoFHHss8NvfxjexNDoXp5wC3HMP8ItfAH/4Q7FHY3Qx\n/glgLgDN1lgOiaR4uGgjSsK0adOwapWEIHV01GPKlHo8FIv5CPJkucZBW5sYWz16JHqy3DvcYQb2\n2LEiIl54QQyw9eslpMf1lH36qczb358HECNk+XLg8cflvRuqqCKrrEwqhG3aJI1idV5Dhsi8meV/\nvaXFEwXqtfHnTAThrlvv3pLjpnlMQaTycvi3lVZm00a57noqridLc4X0c39J/nRFVmVlfLic6+VI\nJrJaW+W3rkGejshSI1TD7hQVmbr9Kyq8nKtUIqu5OTiUv7Y2fts0NXl5YS6pPFkqvLRQxaZNwfu3\nqcmreOhH8/dSebJUuLS3y3G6777ibXrvvehzsvyE5WQBIpKUPn28MDg3p44Z2G8/2U6PPSbja2qS\n84RIGj1rKG4moZN+tmyRYhf77pv4nQqv2loR8F/8YvC6Dhgg/wc6jiOPDC5yo/hvfOjNCP9/hr+v\nXWVlcG819ybJm282YPbsBixbJjlmUZKzyCKiJQjIwWLmnXKdt9E92bxZklK//nXgO98p9miMXLnh\nBsltmDoVOOSQYo/G6ELszMynEtHXAICZtxBlcm87KcsBONH9GBb7zD/N8BTTbGPatGl46y3gzTfF\nEEqWX+oPF2xr84SMGnNBFQLD7sS6+R/q3XI9WWvXepX4Jk0C9twz8feAl8Dub56sz26Cu3ofJkwQ\ng+/DD4HXXpP8E9dD4oosDWnyLyMIDQUKw1+NzY9/W9XVASecIE1yNa8oTGT5C1/4wwMzEVm1tcCY\nMZ4IcA3wZIZ7Q4N4QVxDOZmXIllRBECOx+OO83KQqqqCC6rcf79sJ5fm5sR8lh49gClT4vPV3nhD\n1tMfVqhhY0C8J0uPd78gUK+Duz1bW2VsX/ta8PoFeYlc3O1TVSXzb24W0RYWTubun5UrgV13Tc+7\nFiay3KbCftxlVVZ6FQY1bE5FVq9e3ph1vM3NnsACvHXJVmTpedfUJEKqd+/E8vfHH598/q6Xkiix\nUXEQ7r7V/441a8RDp9/5vefV1d7NAhc3p3KvveoxYUI9Ghpk3NOnT089mDSJIlxwXwDjY4+DAVwL\n4LYI5mt0Q9rapBfW7rsDER7nRhHZbjupNnjmmfEhD4aRIy1EVIPYTT4i2hlAwD3LrJgDYJdYs+Mq\nAKcBeNA3zYMATo8te38A65l5ZbKZhhl6fgM4KFxQQ1r84YIa0pQqp8C/TFdkuQZcdXViY2H/uMNE\nlr/IhoqRrVtFYAHxd5X9YYvphgsCyXNy1q4VMauk6k2l1NWJkRrWn0rXdcCA5CIrLCcLEK+IK7CZ\nRXSsXi05yG7Ja39BDZe2tsRGr8mW65ZID6NXL/E89usn+8VtoK3jaWryRL+ycmVi/prrDUyn8IU7\nLjfHRg1h13gOOtZdT+DixV4zXF120LEbRnW1Fy6ogjBome77lSulV106hIksd/nK4MHiifaPvbJS\nxldeLvtr9erw4itNTYkNqDMNjVvp/LPp/1Jzs4QwBwmkVAJOC++sWRMcPpoK9WRt2BBfct8vsrbf\nXhodB42vU+RkMfPnzmM5M18D4MsRjM3oZjBLk+GODuCmmzKLtzZKm+OPlxyA73wnvT9Qw0iDywA8\nDmA4Ed0OYDaAi6KYMTO3AzgPwCwAbwGYwczvENHZRPS92DSPAlhCRIshfSK/n2q+6Rp6esF3K675\nDQF9VtFSWZn83EpXZAUZR+4dcP/4/bkSaiCqyPKvq5ssr42HgwpfHHWUNJ4PQ4VoEOvWxb9PV2QB\nXlnvPfbwqvApuq5Dh2bnyQK8ypHuOPr0kfDNjz8Gli71vnOLVASN359Dl0xkuYI9GQMGyHZ3PVk6\nT9cD6d+vrjBwf+OOKywM0y+ywsIF3e/dMbz2WvzY5syRXo3uODL1ZM2fL4JXRVaQqNcxu565sO2/\naBFw330ieFKJLHd+FRWSO+fHFVn9+4sgdudbVubt6y1bEgu7ZCIompuBp5+OL7MPeJ7nbGy16mo5\nvhYtyq7Vi+v9POAA7/NBgyRSQNluu3gRpvhFVr5ysnIWWUS0j/PYl4jOQQRhiEb349JL5Y/t7rvz\n25HcKA5XXy2hKDfcUOyRGF0BZn4SwEkAzgRwJ4B9mbkhwvk/zsxjmXk0M18R++wmZv6rM815zLwL\nM+/JzPNSzTOsQmqQYVZeHu/18Sdn+3+juT1hJBNZ/nyisN+m8mQBiSIrmddOc7KCPFl9+sgd+jBS\nCRCXoO0SZgyrWBwxIvGuuK63lpp258ssrSu23z65yCorE6Py6ae93xF53i23ylwyIakiy185LewY\nUAM5XYPYFVmNjcDMmfFGe7Ky3Dq+sHEFeS6CjsGg6oL6fXu7N5+VK+PLyOt43PydTD1Zuu56PPfo\nkbjOum9cERS23zdvFrFy//2pbzRqfpwf93cqsvzhgu756Hr3XBGcrsjasEHCiHW/r1kjTaB127g5\nmZlSVeXdcPFvj3RuxGo4JxC/buXlXi8tQM6rIM+0K7L84b9REoUYutp53QbgIwBfjWC+RjfiuutE\nXL3wgvXC6qr06CHljidOBPbfPzhp1jBSQUT++7oaDDKCiEakI3aKhf63qfEzZYokkAehoTC9esld\navVkffCBFJLQhp6K6xECvNc6nV/suH2yUuUv+b1Vfq+Nzg9ILbKC1lOXv2lTeoUvdLnpJPCHCZUw\ngyqssaly2mmJd77VU6OV3pKJLFcYuOul3ouKCslzqamRPLaNG2W+moOmHgn1/qRTcAOQ39bXp5f7\nAnjrP3CgGMMdHZ7IeOml1N6HZOPy72O/J8utttfeHr/e+rl//6nI0vloEZC2tviqgmGCwB1fTY13\nXKp41FLqLvPny+cjR8o20XUJOh7dBtBBnkBl6tTw4h0ulZVSOGLHHb0bDv7z0r0J4fYva2uT/efv\naeZn3Tpp+Kz/IZs3SwEc3Rf+cNVMcIVRNuJGi3qkQgva+HHz/fz5rlESRXXBw7L5HREdDeAaiDft\n78x8Zch04wG8BOBUZr4364EaJcuddwJXXSXNDd0eB0bXY+edgb/8BTjpJODll633mZEVVyf5jgEc\nXqiBZIsaq2rkBBnGVVViPNXUeCJLvVtbt4px4Bp+FRXefB55RLwqlZVS3QtINGTcqlupjAt/ufMg\nkaVGub7PRGQ9/7z33h9Opxx4YKLnSo1Lf0XEoDv+gIQNaaPUVJ6ssHG74VgqlFyxp9XbJk0K9rQF\neXHKyjxjnkgM0N13l9DBp56S0uj77htf2EE9WX6BnMyTNXBguHgMmh6Q48/dfkB82wDFL97c7atC\nSUMh/V4vV2T17ett+6oq6fW2dWv8PtZtrMtwQ2vd9a+okN82NIhQTFcQqMH9pS95n1VXx6+33qTw\nC69U4lqnCRtLMoFVWemtp86vVy+v0qAbLkjkTdu/f7zIa2kBZs+WQlTJrsG6nz7/XJ61gIQbeppt\nmJ27P/2/T8eTpevpD1P1E7Y9y8pkO7g5We3tks8XJVFUF7ww2ffMnFC4mYjKAFwPYBKATwHMIaIH\nmHlRwHRXAHgi13EapckjjwAXXCAXkh13LPZojELwla9IUvJxx0nogfvnbxipyPbGXinhhh316eP1\nKnI56ih51jvkZWXxHgAtmOCKLA1/aWz08jUUvyHjenhSGUm6DH32G7JAopGbbvWyIA9bEEG9xdTQ\nvece4MQTg5vhqvjcuBF44gnptTRsmHw2bpwIj6DxpApZLysD3n1XXqtBW1XlGWxhERlh4ZM77gi8\n8058GJxui+bmxHLuYeGCQQaqGuDpCizAW15ZmRfW9eGHwdPW1KQOC3U9tvpdTY2Is/Z2z5B39/+E\nCcDDD3vjcPFX2tQ8PLdKoRrgOn43VycZup3cY6CqyvMqAyL6581LFJzpVHdMlZMVxk47Sa4gIMdu\nnz6Sg/TZZ54ny20z0NoqYw5rgxNU2txF10WL1mjYnVsNNFtPFpFEtbz8cuYi7cgjJWT3s8+ShxQr\nQV7IoMIXgORFRklU1QXPhTRhHArgHAD7AOgVewQxAcD7zLyUmVsBzAAwJWC68wH8B8CqCMZplBgN\nDcBZZ0nJXH/oi9G1ufhiKT986qmpE7ENIwgi6kFEFxLRvUR0DxH9mIgCzOzS4rDDpNSzcuyxiQUW\nADEQq6vjQ6dcA7SjI/4ureZkuUnprlHtTjtunLwPKnwRxODB8hsVTq4QUEPU75ULa2zsxz9NJkLA\nDXl0jSi32IGG8KmBqEZUe7t41v138v2euTBcI5lI7orrtki23kGeLCKp6DhmTHzlPjc8MyhvRT1Z\n48Z5825ulmbPbp6TP9wuHdT7UVYmAqZ37/DqsP71PeaY5EVL3KItRFL+W0O/3O1eUZHcE6FCsLxc\nQmgBqbIHeF6WoKIRQej23Xvv+F5hLiOcpg6VlfEC3R9Ku3FjYs6e+zpTkbXTTiLEdUxDhnieNjfk\n1vVk6Tbwc+ihMv5Ux3hHR/xNUP9NGZ1/tkXK9MZ6pp6sAQNkuYcc4nnqk6He8aC8NL9XMZ1QzUyI\nIidrGIB9mHkjABDRNACPMPM3k/xmKIBlzvtPIMJrG0Q0BMBUZj6MiOK+Mzo/r74qpdpnzpS7VUb3\ngkgKYEyZAnzzm8Ctt1qxEyNjbgGwEcB1sfdfB3ArgFOKNqI0CPJaJaNPHzGatbGmog2KATEkN2zw\nclAAMaxdI7F3bwk1UwPv00/jc7IqKxMb1Co1NWJ8Llok81RB4S7j0EPFG6ENgpOFRPnn7ZJJ9dHy\nci+sbcMG6cfl9tJRQ7KsLLFXjlY29JPuXXXXQFXBo0Urkq13kMfHDUEM8mQFiSwNsWtvF6/Z4MGy\nj5culbC+jz8WwTFligivVGFVftSAX7dO8gCHDJH9H4TfyA47jhQ3zK+sLL5BsX+f7LRTeHU4ZgnL\nfPFFOZb79vWayWpRFdejmKpBNSCCtaVFQkH9XhLXU0oE7LUXMGqUvD/pJPG6dXSI5+eDD+R7NfD9\ngitTYZLMC6deaf+xFOZpGjJEvLnaJkJDkf10dMgxpXmB/sqmOv9cK0H7z7lsvWNhjBvn3Yhwl6Hn\nlb80fpREIbIGAXAP3ZbYZ7lyDYCLnfdJd+O0adO2va6vr0d9fX0EQzDywdy50szwn/+Uu7pG96Sy\nErj3XuDkk+Uxc2ZwuI/ReWloaEBDQ0O+Zr87Mzs+ITxDRG/na2HFQpu8qldGcT1Vzc1ePo4rsoIM\nJ9dL4t6ZHjcuvYiCsJyl8nKviavOMx1jaffdpeqoejIyEVkVFd7v3LLtboU5FVmbNsn/ixtOFmZY\npoMalypstUGsPsII82QB3nj0vVtgwN1XaiC6PaTq68Wwb272cvbUe7dlS+oiB2H06wecckpwryEl\nnf28335yc1XXwf1ta6uU4X7ppcQebaNHi8cxbJkVFbLOvXsHh576K8+F4S/hHmSb+L2XVVVeHrkK\n7I4O2Q/+9WQWr5Cen1G2qHGrC7oCvakpfJ11rPfdJyGHhxySOI0bculWL/WfQ240yjHHZD5+/zl3\n6KHpCeJc8Be+AGTsmd6MSEUUIusWAK8R0X2x91MB/DvFb5YDcByvGBb7zGVfADOIiAAMAHAMEbUy\ns78hJIB4kWWULvPnA1/+MvDXv8qz0b3p0UOE1je/KcL7rrtS3wU1Og/+G17To+0wPo+I9mfmVwCA\niPYD8N8oF1AKaKEGvyertVU+GzFCvGMaIqYhVGEiS3FFlmtMpcIvBFzcwgtuuOCBB4q3IWx+U6dK\nb6PFizMTWW4xArfSmFthThPc33pLwpP8Sft+MhFZaqhpPpb7XRjudvMXFAkrh79xo+fNcUWWv4eU\nW5jE9dzlIrKA+LLyqdYpiJoar/+Yjk9x1/UrXwn2JAQt218F0l9dU78bMEBu4rme32zWAZBG0oMG\nSS55WBXOsCqKHR1ybVOPc9Qiy98gun9/YOHC+BBH/29Wr5bfaIilH7cJtJsD5+9p5hefmdCnT+J5\nWFMTfdieH39OFpAf2yNnpxwz/xbAWQDWxR5nMfPvUvxsDoBdiGgkEVUBOA1AnHhi5p1ij1GQvKzv\nhwkso3Mwf77EaV93nYQwGAYgxskdd0hX+333Bd54o9gjMjoJXwLwEhF9REQfAXgZwHgiWkBEbxZ3\naNFRUyMh1RUV8UabiqwDDxTDTwWOei9SiSy38EWYV8dPbW286AMSDeYgT1aYoed6LcaPl+ewHkFB\n9OrliQ/NF1LxAcg6ues1fHh8zliuIkvRpqxAfBJ9EK4RGlSswJ3GFb4aUuduXxVZfu+if72amnIT\nWUD8sefP70ol0KdOjd+vrudDx9qjh1c4JB382yyoyp2OubJSzqNk8z7ggOR5ZLpMPWaDjhN/dcfy\ncvHeuYVH1PsYpcgKChccNSqxP5ZLWZmcMxq+7C8MAcSfw1VVwS0f/CIr01C/yZOlEmqh0f+qpqbo\nwxNdomoaXAugkZn/SUTbE9EoZl4SNjEztxPReQBmwSvh/g4RnS1fe80e9ScRjdMoEnPniufquusk\n9MAwXCoq5NiYMUMqB02fDpxzTn7//IxOTwqTKHuIqB+AmQBGItb7kZkT0v5j4m4DgA4ArcyclwxT\nDZfyiyz3bm9bm9ygUBHhz8nyo9XHgPSLVJxwgjxr8YgvfSm+aEeYyAqislI8Ay6nnJJ8zH769/fy\nhDRcsK0tWGRVV3tGrq5vkKE7eHD4nX0XvbOvIWAqPFKFC7rcc0984QC3KTMQ73lxPVmA7OempniR\npfMZODA+vM/t95Qtrsdp4kQpXAVImOluu2U2r5aW+N5iQPbjc8MG/X2Thg1Lfz6Zek+CwtnUa6qU\nl0tFxjFjvHXV/mL5CBd0j+m6Ogl/C1un8nK5IbP99nKT5qOPEvOWXE9Wjx7eDRxXZKm3WMn0mp1J\noZso0f+qBQvCe2lFspxcZ0BEl0Fyp34e+6gSwG2pfsfMjzPzWGYezcxXxD67KUBggZm/bT2yOi+v\nvSYVtG680QSWkZzTTpOeObffLg2LtXSsYfhh5qUAGgH0AbCdPmJVa5fmOPufAXiKmccCeBre9c1P\nB4B6Zt47XwLLJciTpSxfHu9VSuXJqquTu9dtbfJIR9z4BcSYMfFGnBsu1dwc7/E48cT4kLGjjxbv\nddj6pcPIkfLsihEN3wPiDUC3t1JY0QtAxnjkkamX7XqN2tril5OJoekWunC9kIDn/Rk1yitD7oqs\nj+VNo0QAACAASURBVD+W/a7L00IN6m1U0s2PS4YeS2PHihBVamoyr1zY0eGJqrBKfqlwK0jq7/3e\npUFRVAcIYNddg5s6E8WXRXc9xf5CMPkIF/SHIfbtm9yTtXWrnDsjRgBr1sR/39wsxT90zLW18aG2\n7nxy8WQVC/eGUD7zv6LYHCcCOAHAZgBg5k8RXrrd6GY884z0Q/rHPyRkwDBSMW4c8MILwPnnyzFz\n6qniCTUMFyL6NYA3AVwLaVB8NYDfRzT7KfByi/8NyTUOHAaiuY6mhSuatGS1oqlvPXpIWfJUIqus\nTO7grl+fXHSEkSxcauPGxPLbPXrEi8Ao72C7IqutzTOahg+PL/Gs40s3PDIZuv5aRt71JmVqaKqR\nqiJJRaIWPRk2zDNsXZGl6LJ795Yqd/6QS9cjkS1u7pNLqvL/QbjbKGy+qdDluiLLL/byVbF2zz2D\nhaWW0Fd0P7a2Ju6DTNc3GboNMglD1LHU1Ig3ds2a+GPq9deBFStk3ocf7rUXABLDPTu7yMqmmXLa\ny4lgHi3MzIiF9BFRBhHVRlfmwQfFQL7rLityYWQGEfCtb0mzz/32E7E1aRJw992pGyga3YavAtiZ\nmeuZ+bDY4/CI5j2QmVcCADOvADAwZDoG8CQRzSGi70a07FCI4o0zNyRMDXQVV6lEFiAej7Vr0/dk\nKVrRzY8aLs3NwblVasT5Q4xyxb1br56s6moRm24Jb/W0hRW9yAQNMfKLrFGjvIpzqdhpJ3lWI1XD\nQlUkVlXJTUo3IV+T9V3cbVldnSgAovRk+eeTjYHqjifdvmRhuNX0tO8SEF/Kv1CUlcWXm9f9uHVr\nYjPoXhG7IioqEr3bydDt3qOHjKW5Ob4Rr9vzbdCgxBzO8eMllyqXPlnFxBVZmRTbyZQotPRdRHQT\ngL6xi8y3AdwcwXyNTswttwAXXQQ8+qgUMzCMbOjVC7jwQuC880Rg/eUvwLnnSljhN74hIYWd8Q/e\niISFAPoiy2b1RPQk4tuNEEQ0XRIwedhl+EBm/oyItoeIrXeY+YWgCaNqM+I24PX33FLDQXNDUhmu\nffuKJytTkTVggNzl9qPLD/MUqTGz227ReRkGD5awwZUr5X17u6x7fX28J80NF8x0fYMYMUJKjpeX\nx4eCZdIHbcQI2Rb+/zBXyKgxPmKEGMFBIsu/rf0iK92cu2T4q/kp2XoBcv3fDhJpX/iCzFd7tRUa\nbdys6A1Bv8g64IDol605ltl4sioqpA/e6tVeCK4eQ0HVBfV415sJuVQXLBZuddUFCxqwYEFDXpaT\ns8hi5t8T0ZGQ2PixAH7JzE/mPDKjU8IMXHUV8Oc/S6igNuIzjFyoqhJR9Y1vSE+d224Dvv1tufv2\njW+I18uf32F0eS4H8DoRLQSwzb/JzCek82NmDs28IaKVRDSImVcS0Q4IEXLM/FnseXWsjckEAClF\nVi6oOKitFcPI/50WvGhqSi0kevQQAzBTz86eewbPWz9rbg6e36BBMr5MCyUkQ7WqNqFtbfWaJfvH\npiJw5UovFC9b/MUqMjEuJ08WgRskfKZMCRagBx4oYZiZiqy2tmg9Wfo8cSLw8suZhQueeqr0Qxw8\n2CsAka0XwS+y9NgrZriahgtWV8t5pZ4sf7hgPoo9JGutEITryQLE86w3KgDvGNR18G/XoPyygw/O\nPD+vWGh/NgDYddd6fPWr9du+i7LVSE4ii4jKIcnBhwEwYdXN6egQr8Ps2XKHb+jQYo/I6IqMGgVc\neilwySVSTe3228XQGjkS+N73JEwk3z02jJLg3wCuBLAAUoAiSh4EcGZs/mcAeMA/ARHVAihj5k2x\nMPmjAETaCCyIigrx4LqhUYoaWgMGSM+pVEKiulrKODc2Zl7V7+CDg7+rq5P5BRmSe+whj3xw2GES\nPvnBB4l9q778ZVk/9Sg0NiYWh8gWDYsMCp8MI9myk5VaV5Ho9x75DWD3/0+9X7mKD92eOp8ddxSR\nlYknS3+7++5eY+Js8fcG0+O3mP/96kGuq4sXWVqUItfQyGRk6pnt2VPG4zYbdnOtVPxqgQ//8RMk\n5jKp5lhs3EqQ2TRQTpecRFasFHsHEfUJKm9rdB+amsSbsHq1VIezhrJGviGSO/l77w1ccQUwa5Z4\nUC++WLxcF1yQWeiO0enYwszX5mneV0JC4b8NYCkk/wtENBjAzcx8HCTU8D4iYsi19HZmnpWn8Wyj\nsjK8/Hjv3vJfPHy4TONWgQuiqsqrWhdVIr6KrHwVHQhjhx3EIPzPf8RAdJevvY1aWkQUbN2afvPl\nVKhRn8/keUVF1n/+E/+532hX70RtLbBsWTSFLwAJ0/Yfd9msd2Vl7mFl/mILevwOHy5NjYsBkQiV\nPn3kPNRwwdbW+HDBUvBkDRwonkWlstLz7ADiodx9d+8amsyT1RlRT1ZtbfT5cS5R/K1uArAgFt++\nrcc4M/8wgnkbnYA1ayTEYeRIMXSjungZRrpUVEibgGOPlTvZ11wjZXbPPFNyA01sdUmeJ6LLIV4n\nN1xwXq4zZua1ABJaZMbCA4+LvV4CYK9cl5UpyYpGHHywVylQcyuS4f5XRyWyevQQ71iu4XjZUFEh\nxmJLS/A20sIXUYosFRnZVNnLFDdZ3yUsNHPkSOl/pL/NFb8BP3JkeKPpZFRUSNXH9etFGGfjfRo+\nPD5fyN0GxQpZ0xL8Y8fK8f/uu/Jec6X83rcoyVRk+dFiNuvWSREdt8w+kJ4nqzOh/wVRVnkMXE4E\n87gXwKUAngMw13kY3YDFiyWJ85BDJE/GBJZRbHbeWRobL1zo3Y278kqrStgF2RvA/gB+h+hLuJcs\nY8cG9+gBxChyy5mnQv+vhw+PzvNUVSXGZrGajCZbrha+0P5AuTJpkpd3XAiRpSGPfoIE1OGHS1ii\neu/y4Xk44IDMb2BNnCjeAy2vv9122bV32X134Kij5LXrySom69fLc1WVF46mYXhuD6t8CBRd/2zn\nXVkp5+3jj8t7f/GadHKyOhP5DN10yfqwJKIRzPwxM/879dRGV+Sll8QtP3265MIYRikxZAjwpz9J\nZcKf/hS4+Wbg+uulCarR+YnlAnc7hgyJbl5uo9GoqK4OL3xRCJIZ29onq60tGm/HQKewfyFE1rBh\n8WW2lbBtXVXlefWKtT/8BOUS5oq/tUGxUW9zW5uEqra2xnug8yF4+/aVnMRcRJaiDbuTCanOKKxc\n/AVT8kUus78fwD4AQET3MHORomCNYnDXXWK83nKLGa1GaTN6NPDAA8ATTwDnnCNe1z/8oTjhTEa0\nENGXAewGYJtfgpl/VbwRdU7chPdc8Zd+LjS1tVKFLwi3T1bUxlU+e+0offsCixZ57/fbz+u1FYR6\nJ7Zs6fw5NMkoFU/W1KmSj1hXF18ivaVFbj7k05M1dCjwzju5hQsqWizFfw4fcICcWwsWdB1PVr5D\nS3M57dzNmuQ0N7oSzMDll4tn4MknTWAZnYfJk+Xi0LevhJo89FCxR2TkAhHdCOBUAOdDrkenAEgj\nE8lw2WWXaL0LGoJYLKN3t93C89HUkxXWxytbjj1WQgfzTW2t5LspyQQWkDynpitRKp6smhrJhQM8\n472uzivhrmIkH/ti++2lsm4ugue44+TauG5d8DkycqQXHusup65OGhN3JnQf5LtATy67mkNeG12U\n1lYJC7z7binduueexR6RYWRGz54SQjhzJnD++eLZ2rw59e+MkuQAZj4dwDpmng5gIoAxRR5Tp2P8\n+Piwt1wZNAgYM0ZyborBoEHhzV61olh5ebR33/v0kf+WfJNpHhmR5GYBhfG0FYvy8tIQWS56s6Gu\nTsJnNSdr0iQ5XkqRXr1EyG/dGp7Hp8LLrUQIeI2JOwudQWTtSUSNRLQRwB6x141EtJGIGlP9mIiO\nJqJFRPQeEV0c8P3XiWh+7PECEX0xh7EaObJhg9yt++wz4LnnrAeW0bk55BBg/nwRWF/6kvTbMjod\nTbHnLUQ0BEArgBRFy418U10t51SUeV5RQeRVX+ysZCpeBw0SL36pGvZRcPDBXpn+UkFFVk2NlwdY\nVhbtDY18UF0t4Y2pGpQXomVBISjZ6oLMXM7MvZm5FzNXxF7r+6SHOxGVAbgewGRIPP3XiGicb7IP\nARzCzHsC+A2Am7Mdq5EbS5dKt/mxY4H77y/MHTvDyDd9+gC33iqNjY88UopidOW7vV2Qh4moL4D/\nB2AegI8A3FHUERkljXqvSqUIRDbonff6+vR/E1Xj5VKlFAWkiqyePcWQX7u28L3jsqG6WjxZydoc\nnHBC52o8nIx8/xcUK0p3AoD3mXkpM7cCmAFgijsBM7/iNDh+BYD5TorA3LkisL7zHSmL3ZnvABpG\nEN/4hoS//utfwIknysXQKH2Y+dfMvJ6Z74HkYo1j5l8We1xG6VKoimL5RA31VI2mjeJSVSVFlwYO\nFG/ioEHhrRdKiaqq1CKrrq5zFrvwc8gh+al26VIskTUUwDLn/SdILqL+B8BjeR2RkcADD0hhi+uv\nBy64oGucVIYRxC67AC++CIwaBey9t7QnMEoTIhpPRDs4708HcBeAXxNRJPfsiehkIlpIRO1EtE+S\n6ZKGvRulhV7DOrPIGjLEokk6C/vuK8fcQQeJQd8ZqKyUfKsoG3aXKkOHSh5aPin5vxoiOgzAWQAO\nSjbdtGnTtr2ur69HfSa+dCMOZikOcNVVwKOPSmK0YXR1qquBP/5REsVPPBH44Q+Bn/2sc4cWFZuG\nhgY0NDREPdubABwBAER0CIArIBUG9wLwVwAnR7CMBQBOjC0rECfsfRKATwHMIaIHmHlR2G+M4qKe\nLH/Sfmdihx2A448v9iiMrkplpdfwujOEN5Y6xEVIQiCi/QFMY+ajY+9/BoCZ+UrfdHsAuAfA0cz8\nQZL5cTHWoyvS1gb86EfAs88CDz+cf1eqYZQin3wCfPObYpTdeqsVeokKIgIz5+QTJ6L5sVxdENEN\nAFYz87TY+zeYea/cR7ptWc8A+Akzzwv4bn8AlzHzMbH3gdex2Hd2jSoRnn5azmu7D2sYiTADM2ZI\nwY6pU4s9muIQxXVKKVa44BwAuxDRSCKqAnAagAfdCYhoBERgfSuZwDKio7FR7pAtXiyhUyawjO7K\nsGHA7Nni1dpnH+Cee4o9IsOhnIg0CmMSgKed7woZnZFp2LtRAhx+uAkswwijKxSHKSWKIrKYuR3A\neQBmAXgLwAxmfoeIziai78UmuxRAfwB/JqLXiei1Yoy1u/DBB8DEiZKT8sgjpVmtxzAKSXk5cMkl\nkpt48cXAmWfKjQij6NwJ4FkiegBSxv15ACCiXQBsSPZDFyJ6kojedB4LYs8WjGUYRrfGRFY0FC0n\ni5kfBzDW99lNzuvvAvhuocfVHWloAE47DfjlL4Hvf7/YozGM0mL//aWP1oUXAl/8InDzzcBRRxV7\nVN0XZv4tEc2G9MSa5cThlUFys9Kdz5E5DmU5gBHO+2GxzwKxvGHDMDoLQY2Iuyp5yh0GUKScrKix\nePfsYJay7L/9LXD77cARRxR7RIZR2syaBXz3u3Ku/P73QL9+xR5R5yLKWPdCEMvJ+ikzzw34rhzA\nu5CQxc8AvAbga8z8TsC0do0yDKNTcN99EjLfXYuedYWcLKPINDUBZ5wB/P3v0iPIBJZhpOaoo4AF\nC4AePYBdd5WbE2Y7dz2IaCoRLQOwP6Tp8WOxzwcT0cNAeNh7scZsGIYRBVOndl+BFTXmyeqGvPsu\ncOqpYiTefLM0ljMMIzNefRU45xygf3/gmmsklNBITmfzZEWFXaMMwzA6B+bJMrLmttukMd6558pd\neBNYhpEd++0HzJkjPbUmTZJzavXqYo/KMAzDMIxSwERWN2HdOun78+tfA089BZx9tleq0zCM7Kio\nAM47D1i0SJoZjxsHXHYZsCHtGneGYRiGYXRFTGR1Ax57TEKZ+vcH5s0D9tyz2CMyjK6Fhgz+97/A\n0qXA6NFSUGb9+mKPzDAMwzCMYmAiqwvz6adSmv3cc4F//xu49loLDzSMfDJqFPCvfwHPPQe89x6w\n887Az34GfPJJsUdmGIZhGEYhMZHVBWluBq6+WjxWO+8MvP225IwYhlEYxo2TGxtz5wJbtgB77AF8\n9asivqz+gWEYhmF0fay6YBeivR249VbJCdlrL+Cqq4CxY1P/zjCM/NLYKKLrxhuBlhbgrLMkR3LE\niNS/7UpYdUHDMAyjlInyOmUiqwuweTPwz38Cf/wjMHQocPnlwIEHFntUhmH4YQZeew34xz+Ae+6R\n3K1TTwVOOAHYaadijy7/mMgyDMMwShkTWT666wVs/nwRV7ffDhx8MPDTnwIHHFDsURmGkQ6trcDs\n2cDddwOPPCLFM449VkJ7DzoI6NWr2COMHhNZhmEYRiljIstHd7mAMQMLFwL33w/cey/w+efAmWfK\nozvcBTeMrkpHh+RvPf448PTT0n9rt92AiRPlxsn48cCOO3b+tgsmsgzDMIxSpks0Iyaio4loERG9\nR0QXh0xzLRG9T0RvENFehR5jsenoAN59V6qVnXEGMHIkcPzxwPz5DfjjH4ElS4Bf/ap7CKyGhoZi\nD6HgdLd17m7rC3jrXFYmQurSS4FnnpGmxr//PTB4MHDHHeKp7t8fOPxw4Ec/Av72N+CVV6xEfL4g\nopOJaCERtRPRPkmm+4iI5hPR60T0WiHH2NXojud/Jtj2SY1to9TYNiosRRFZRFQG4HoAkwHsBuBr\nRDTON80xAHZm5tEAzgZwY8EHWkROPlmMqqOPlrvbEydKE+ElS4Ddd29AfT1QXl7sURaO7vjH0N3W\nubutLxC+zjU1Iqwuvlg81598Ig2PL74YGD4ceP554Pzz5fXgwcCLLxZ23N2ABQBOBPBsiuk6ANQz\n897MPCH/w+q6dMfzPxNs+6TGtlFqbBsVlooiLXcCgPeZeSkAENEMAFMALHKmmQLgFgBg5leJqA8R\nDWLmlQUfbRG46CLgL38Btt++2CMxDKMUGDQImDxZHgozsHw50K9f8cbVFWHmdwGAKGWAJsFaoRiG\nYRgBFOviMBTAMuf9J7HPkk2zPGCaLsuECSawDMNIDhEwbJg1GS8iDOBJIppDRN8t9mAMwzCM0qEo\nhS+I6CsAJjPz92LvvwlgAjP/0JnmIQCXM/NLsfdPAbiImecFzM8yig3DMDoBpVL4goieBDDI/Qgi\nmn7BzA/FpnkGwE+Crjux7wcz82dEtD2AJwGcx8wvBExn1yjDMIxOQlTXqWKFCy4H4LbhHBb7zD/N\n8BTTACidi7ZhGIbROWDmIyOYx2ex59VEdB8kFD5BZNk1yjAMo/tRrHDBOQB2IaKRRFQF4DQAD/qm\neRDA6QBARPsDWN9d8rEMwzCMkiFQIBFRLRH1jL2uA3AUgIWFHJhhGIZRuhRFZDFzO4DzAMwC8BaA\nGcz8DhGdTUTfi03zKIAlRLQYwE0Avl+MsRqGYRjdCyKaSkTLAOwP4GEieiz2+WAiejg22SAALxDR\n6wBeAfAQM88qzogNwzCMUqNLNCM2DMMwDMMwDMMoFTpd6dnu2CQyg3VO2eC5s0BE/YhoFhG9S0RP\nEFGfkOk69X7ujk25U60zER1KROuJaF7scUkxxhkVRPR3IlpJRG8mmaar7eOk69zV9nEYXek/OReI\naBgRPU1EbxHRAiL6Yezz0P95Ivp57Jx4h4iOKt7oCwcRlcXOhwdj7237OMRa+dwdW+e3iGg/20bx\nENEFMXvxTSK6nYiquvs2CroeZbNNiGif2HZ9j4iuSWvhzNypHgDGAhgN4GkA+ySZ7kMA/Yo93kKt\nM0QwLwYwEkAlgDcAjCv22HNY5ysh1SQB4GIAV3S1/ZzOPgNwDIBHYq/3A/BKscddgHU+FMCDxR5r\nhOt8EIC9ALwZ8n2X2sdprnOX2sch69il/pNz3BY7ANgr9rongHcBjAv7nwewK4DXIcW5doxtRyr2\nehRgO10A4DY9N2z7JGyffwE4K/a6AkAf20Zx22dIzCaqir2fCeCM7r6Ngq5H2WwTAK8CGB97/Sik\nSnrSZXc6Txb/f/bOPEyOqur/3zNbMtkTAglZIQQCYZOEhCUgwyIksiogxAVRRFRwR0RfkfCCr/Iq\niuDCprL8NMCLyCb7MrJDCIQQEkhYErKyhuyTzPSc3x+nT+r27arq6pnq6emZ83meeaaX6lu3blV3\n3e89G/PrzLwIEcHIDl2mSGTCY95a4JmZmwFogedK5XgAN2Qf3wDghIjtKvk8JzlnOUW5AfQnoiGo\nXJJep10mGxtLSu/VMZt0tXOc5JiBLnSOI+hqv8lthplXMfOc7OP1ABZAMgZH/c4fB4nVbmHmxQAW\nQcazy0JEIwB8GsB1zss2PlmIqB+Ag5n5bwCQPfY1sDHyqQbQm4hqANRDsnJ36zGKuB8VNSZENBRA\nX2aeld3uRkTPS7dSqZPTJHS3IpFJCjxXEttxNpskM68CsF3EdpV8nrtjUe6k1+kBWde5fxPR+I7p\nWtnoauc4KV39HHe13+RUIKIdIKvKzwIYEvE73x2/E78D8CPIPU2x8QnYEcAHRPS3rEvlNUTUCzZG\nW2HmFQAuA/AO5HjXMPPDsDEKI2qOGTUmwyG/4Uqi3/Ny1cmKhRIUiUzAFHaKRBLRAg4pEtlZSOmY\nK4qYYw6Lz4jK0FJR59lIxGwAo5h5IxFNA3AHgF3K3CcjXewcd0NIUt7fBuC7zLye8os0d8tMXER0\nNIB3mXkOETXEbNotxydLDYAJAM5m5heI6HcAzkf+mHTbMSKiARALzWgAawD8HxF9ATZGSSjJmHRK\nkcUdWCSys5DCMScp8NypiDvmbJDiEGZ+N2umfS+ijYo6zx6pFuWuEAoec9adSB/fR0R/IqJBzPxR\nB/Wxo+lq57gg3eQcV9xvcinJui/dBuAmZr4z+3LU73x3+05MAXAcEX0a4uLVl4huArDKxmcrywAs\nZeYXss//CRFZdg0FHAHgLf0dzc6JDoSNURjFjkmbxqrS3QW7Y5HIqDiGJAWeK4m7AJyeffxlAHf6\nG3SB89wdi3IXPGY3HomIJkOCTit98k2I/u52tXOsRB5zFz3HPl3tN7m9/BXAfGb+vfNa1O/8XQBO\nzWZG2xHAWAAVlz02Kcz8U2YexcxjINfJo8z8JQB3w8YHAJD9TVxKRGrxPhxSZ9WuoYB3AOxPRD2J\niCBjNB82RkD+/aioMcm6FK4hosnZsT0NIfPSPEqVzaNUf5BAs6UANgFYCeC+7OvbA7gn+3hHSCan\nlwC8AuD8cve71MecfT4VkrVpURc45kEAHs4ez4MABnTF8xx2zgCcBeDrzjZ/gGS4eRkxGTUr5a/Q\nMQM4GyKWXwLwNID9yt3ndh7vPwCsALAZchP8Sjc4x7HH3NXOccw4dJnf5HaOwxQAGef3+sXs2IT+\nzmc/85Psd2IBgCPLfQwdOFZbM2/a+OSNzd6QxYs5AG6HZBe0McodowuzxzsXktChtruPUcT9aGCx\nYwJgImSuuQjA75Ps24oRG4ZhGIZhGIZhpEiluwsahmEYhmEYhmF0KkxkGYZhGIZhGIZhpIiJLMMw\nDMMwDMMwjBQxkWUYhmEYhmEYhpEiJrIMwzAMwzAMwzBSxESWYRiGYRiGYRhGipjIMgzDMAzDMAzD\nSBETWYZhGIZhGIZhGCliIsswDMMwDMMwDCNFTGQZRieCiA4hoqUx7/+ZiP6rI/tkGIZhGIrdpwwj\nGTXl7oBhGHlw5BvM3+zIjhiGYRhGCHafMowCmCXLMAzDMAzDMAwjRUxkGUYZIKK3ieh8InqViD4k\nor8QUV3wNv2AiN4louVEdLrzub8R0X+Xp9eGYRhGd8HuU4bRPkxkGUb5+DyATwHYCcA4AD/Lvj4U\nQF8AwwB8DcAfiah/WXpoGIZhdGfsPmUYbcRElmGUjyuZeQUzfwzgFwCmZ1/fAuBiZs4w830A1kNu\nboZhGIbRkdh9yjDaiIkswygfy5zHSyArggDwITO3Ou9tBNCnw3plGIZhGILdpwyjjZjIMozyMdJ5\nPBrAinJ1xDAMwzBCsPuUYbQRE1mGUT7OJqLhRDQIwE8B3Jx9ncrYJ8MwDMNQ7D5lGG3ERJZhlI9/\nAHgQwBsAFkH83YH8+iOR9UgMwzAMo4TYfcow2ggxl+d7QURTAVwOEXp/YeZLvff7Afh/AEYBqAZw\nGTNf39H9NIxSQERvAziDmR8td18Mw8iHiEYAuBHAEACtAK5l5iu8bQ4BcCeAt7Iv3c7Ml3RoRw2j\nRNh9yjDaR005dkpEVQD+AOBwiH/vLCK6k5lfczY7G8CrzHwcEQ0G8DoR/T9mbilDlw3DMIzuRQuA\nHzDzHCLqA2A2ET3o3acA4HFmPq4M/TMMwzA6MeVyF5wMYBEzL2HmZoiP7/HeNgypwYDs/w9NYBld\nCHOtMIxODDOvYuY52cfrASwAMDxkU4tNMboqdp8yjHZQFksW5Ea11Hm+DCK8XP4A4C4iWgFJC3pK\nB/XNMEoOM48pdx8Mw0gGEe0A4BMAngt5+wAimgNgOYAfMfP8DuyaYZQMu08ZRvvozIkvjgLwEjMP\nA7APpJq41WAwDMMwOozsfec2AN/NWrRcZgMYxcyfgCwM3tHR/TMMwzA6J+WyZC2HJLRQRmRfc/kK\ngF8CADO/mQ3A3BXAC35jRGQmbcMwjAqAmSvGvY6IaiAC6yZmvtN/3xVdzHwfEf2JiAYx80deO3aP\nMgzDqBDSuk+Vy5I1C8BYIhpNRHUATgVwl7fNEgBHAAARDQGwC4IMTnkwc0X9XXjhhWXvQ3fpdyX2\nuVL7bX22fsf9VSB/BTCfmX8f9mb23qSPJ0My9n4Utm25x76z/1Xi9Wzj07n+bIxsjNL4S5OyWLKY\nOUNE50BqL2gK9wVEdJa8zdcAuATA9UQ0N/ux8zji5mUYhmEYaUJEUwB8AcArRPQSJAnATwGMRnCf\nOomIvgmgGcAmWOywYRiGkaVc7oJg5vsBjPNeu9p5vBISl2UYhmEYHQozPwWp0Ri3zR8B/LFjtzyt\nbQAAIABJREFUemQYhmFUEp058UWXpqGhodxdaBOV2O9K7DNQmf22PnccldpvwwjDrud4bHwKY2NU\nGBujjoXS9j8sB0TEXeE4DMMwujJEBK6gxBdpYfcowzCMyiDN+5RZsgzDMAzDMAzDMFKkbDFZhlEs\nzMDq1cDixcBHHwHDhgEjRwJ9+5a7Z4ZhGIZhGIYRUDaRRURTAVyOILvgpd7750IyOzGAWgC7ARjM\nzB93dF+N8tHSAtx3H/DXvwKPPAJUVQE77AAMHAisXAksXQrU1wNHHgkcdxwwdSowYEC5e20YRqVD\nRCMA3AhgCIBWANcy8xUh210BYBqADQBOZ+Y5HdpRwzAMo1NSlpgsIqoCsBDA4QBWQOpmncrMr0Vs\nfwyA7zHzERHvm797F6O5Gfjd7+RvzBjgq18FTjgB2Gab3O2YgeXLgXvvBe66C3jiCRFb3/8+MGFC\nefpuGEY4lRSTRURDAQxl5jlE1AfAbADHu/cpIpoG4BxmPpqI9gPwe2beP6Qtu0cZhmFUAF0hJmsy\ngEXMvISZmwHcDOD4mO2nA5jZIT0zys6zzwITJwKPPirWq6eeAs44I19gAQARMGIE8PWvA/fcI66E\ne+4pguyQQ4AHHhAhZhiGUQzMvEqtUsy8HsACAMO9zY6HWLvAzM8B6O8WKDaMMFpagDffLHcvDMMo\nNeUSWcMBLHWeL0P+zQsAQET1AKYC+GcH9MsoI5kM8KMfAZ/5DPCTn4ib4PjxxbUxcCBw3nlyA/vG\nN4DvfQ84+GARbIZhGG2BiHYA8AkAz3lv+fey5Yi4lxmGsnYtMG9euXthGEapqYTsgscCeNJisbo2\na9eKm9+cOXLzmT5drFRtpbZW2pg3T8TWWWcBhx0mVjLDMIykZF0FbwPw3axFyzDaRUsLsHlzuXth\nGEapKVfii+UARjnPR2RfC+NUJHAVnDFjxtbHDQ0NVnCtgli8GDj2WGDKFODKK0UgpUV1NfDFLwKn\nngpcfz3wuc8B++wD/Pd/A3vvnd5+DMPIp7GxEY2NjeXuRpshohqIwLqJme8M2WQ5gJHO88h7md2j\nDKWlRTw3WlqAGsvxbBhlpZT3qXIlvqgG8Dok8cVKAM8DmM7MC7zt+gN4C8AIZt4U054FFVcor70G\nHH64uAl+97vts14loakJuOoq4NJLgf33By64wBJkGEZHUUmJLwCAiG4E8AEz/yDi/U8DODub+GJ/\nAJdb4gujEO+8I7HGxx4L9OlT7t4YhuFS8YkvmDkD4BwADwJ4FcDNzLyAiM4ioq87m54A4IE4gWVU\nLiqwfvELiZ0qtcACgJ49ZV9vvgk0NMhN7tOfBh5+2BJkGIYRQERTIGVEDiOil4joRSKa6t6nmPle\nAG8T0RsArgbwrTJ22agQWlrkv7kMGkbXpiyWrLSxVcLK4/XXRWBdcglw+unl60dTE3DTTcDvfy/P\nv/MdieWyAseGkT6VZslKC7tHGS6LFgEvvCAZcIcNK3dvOoaNG0VUDhxY7p4YRjwVb8kyujdvvw0c\ncQRw8cXlFViAWLbOPBN45RXg8sul3tbIkcCXvww0NgKtreXtn2EYhtG1aG6W/01N5e1HR/LQQ8D9\n95e7F4bRsZjIMjqU998HjjoK+PGPga98pdy9CSAS4XfHHcDChZIU4zvfAUaNAn7wA+C558yd0DAM\nw2g/mYz87y7ugpmMWLLSTGplGJWAiSyjw1i/Hjj6aMnwd8455e5NNNttJ8Jq7lzgwQfFdfDLXwZ2\n3BE491xJA2+CyzDKDxHVE9G4cvfDMIohkwHq6rqPJWvDBvk/xMp0G90ME1lGh9DcDJx0ErDXXuIm\nWCmMHw9cdBGwYAFw991Ar17i4jhmDPCzn8nrhmF0PER0LIA5AO7PPv8EEd1V3l4ZRmGYgX79gHXr\nyt2TjkHd7qtsxml0M8p2yWezNL1GRAuJ6McR2zRkszrNI6LHOrqPRjowS0Hg2lpJn94RWQTThgjY\nc0+pr7VgAXD77bIKecQRkgr+ppu6z6qkYXQSZgCYDOBjAGDmOQB2TKtxIvoLEb1LRHMj3j+EiD7O\nZh18kYh+lta+ja4NMzBoELB8udSJ7OqoyDIPEKO7URaRRURVAP4A4CgAuwOYTkS7etv0B/BHAMcw\n8x4ATu7wjhqp8KtfAS+9BMyc2TUKLxJJQePf/EbqnfzXfwF//zswejTw858Dq1eXu4eG0S1oZuY1\n3mtpTuP+BrlHxfE4M0/I/l2S4r6NLgxzkMH2mWfK25e28MQTxcWTqciyRFJGd6NclqzJABYx8xJm\nbgZwM4DjvW0+D+CfzLwcAJj5gw7uo5ECN98M/PnPwD33dM2ii9XVUmvr/vvlxrNiBbDzzmLxWru2\n3L0zjC7Nq0T0eQDVRLQzEV0J4Om0GmfmJwEUWjKpQLu8UW6YZbHusMPEbbDSWLasuMVEE1mVzebN\nkrjEKJ5yiazhAJY6z5dlX3PZBcAgInqMiGYR0Zc6rHdGKjz9tGTou+ee7lELZJddgOuuk8QYb74J\njBsnFi5zkTCMkvBtiCfEZgAzAawF8L0O7sMBRDSHiP5NROM7eN9GhaL3hIEDgU2bytuXtlLMfc1E\nVmXzyCPAXRbt2iY6s/NWDYAJAA4D0BvAM0T0DDO/Ud5uGUlYvFgSXdxwgyS76E6MHSvHPWuW1OC6\n8Uax5o0ZU+6eGUbXgZk3Aviv7F85mA1gFDNvJKJpAO6ALA4aRixqyaqrA1paRHxUSlIITT+v/5N+\nprraFhwrlTW+U7aRmHKJrOUARjnPR2Rfc1kG4ANmbgLQRESPA9gbQKjImjFjxtbHDQ0NaGhoSLG7\nRjGsXSsudD/+MTBtWrl7Uz4mTRKhdfnlwH77yf8vfKHcvTKMjqOxsRGNjY0laTubDClv2sbMh5Vk\nh/n7We88vo+I/kREg5j5o7Dt7R5lKCqySs2LL0rCqT33TK9NLaS8ZUvyz7S2Sj/MklW51NeXuwel\no6T3KS7D0gIRVQN4HcDhAFYCeB7AdGZe4GyzK4ArAUwF0APAcwBOYeb5Ie1xOY7DyCeTAY4/Hhgx\nQqw3lZhJsBTMnQt89rMiOi+7TFYwDaO7QURg5lR+FYhoovO0J4ATAbQw83lptJ/dxw4A7mbmvGkq\nEQ1h5nezjycDuJWZd4hox+5RxlaefVbqMY4ZA9xyC3DyyaWxZM2cCfTuDRx3XHptrl0L/Pvfkvxp\n110Lbw8AS5bIPbCuDjiqUCoZo9Mxc6YkajnmmHL3pGNI8z7VbksWEe3JzK8U8xlmzhDROQAehMSF\n/YWZFxDRWfI2X8PMrxHRAwDmAsgAuCZMYBmdi/PPFx/zK680geWy117ACy9IUeOGBuCOO+QmaxhG\n22Dm2d5LTxHR82m1T0T/ANAAYBsiegfAhQDqkL1HATiJiL4JoBnAJgCnpLVvo2vDnCuqSqG/tc20\nE061xZJl7oJGdyUNd8E/EVEPANcD+HtISt1QmPl+AOO81672nv8GwG9S6KPRAdx4I/CvfwHPPy+u\nAUYuAwbI+Fx4IfDJTwIPPQSMHFnuXhlGZUJEg5ynVQAmAuifVvvM/PkC7/8RUmbEMIrCdRcs1WKk\niqG0229pkf/FugvW1ASfNSoPWzRvG+0WWcx8MBHtDOCrAGZnVxL/xswPtbt3RsXw7LPAuecCjz0m\nRRaNcKqqgIsvlqxSBx8sQmvnncvdK8OoSGZDYrIIQAuAtwGcUdYeGUYCfItOKS1ZacdBuSKrqQno\n0aPwBFxFlgq/xkbp36GHpts3o7zMnAmcckrlJHHpCFJJfMHMi7LV7l8AcAWAfYiIAPyUmW9PYx9G\n52X5cuDEE4G//AXYffdy96Yy+MEPxMe5oQF4+GFgt93K3SPDqCyYecdy96G7smQJMGpU113d/uij\n0i4WdlTiCyB9kZXJiGBav148Mw45pHCJFhVZ2peVK3Pff+opee/gg9Ptq9FxuGn6TWQFpBGTtReA\nrwA4GsBDAI5l5heJaBiAZwCYyOrCNDVJQodzzpGMgkZyzjxTVgGnTpWbzIgR5e6RYXR+iOizce/b\nwl7xtLTIxCjp5Ojpp4FttwV69Wr7PjdtkhqKJ5/c9jZKxQMPSJKiAQNK077vLhhnyXruOWDoUGD0\n6OL3AeSKrFWrpK32kMlIprkPPwyeF8IXWe7rVVXA0qUWr1XJtLbKdQrYefRJw5J1JYDrIFarrWX1\nmHlF1rpldFGYgbPPlhXN888vd28qk9NOA959V4TWE0+IG6FhGLHELecwbGGvaG6/HRg+HJgypeP2\nuW5d54zRUSHQ1FS6fRQTk/XWWyJIixVZih7P+vXizj99etvaUTIZyVi4bl3yz2zZInHa/gT89ttF\nrNvEvPOS5Nxs2SK1UZNu351IQ2QdDWATM2cAgIiqAPRk5o3MfFPUh4hoKoDLEWQXvNR7/xAAdwJ4\nK/vS7cx8SQr9NVLi6qtl9eLZZ7uu20hHcO65wIoVkmb3wQe7dj0Kw2gvzPyVjtgPEf0FwDEA3mXm\n0JLqRHQFgGkANgA4nZnndETf0iaTkUl4MbTXDa2zTsZUXG3YULp9+O6Chcaipg0zNd+SlZbbYCYD\n9O8P7LEH8Oijyc7je+9JuvelS3Nfb26We5/ReUly/RRzLXc30vCcfBiAOy3slX0tkqwQ+wOAowDs\nDmB6ti6Wz+PMPCH7ZwKrE/HUU5Il74470k8R290gktpZI0YAZ5xhP1KGkRQiOpqIziOin+tfis3/\nDXKPitr3NAA7MfPOAM4CcFWK++5wio2jaO/vlE7aOtvv3ebN8r/Ulqwk462JIjRb77vvSimQYkhT\nZDHLuNTUiAVqxIhk56+pSWKQN28OxteoDNQdNM4t1L0GOtv3udykIbJ6cm7l+/UQoRXHZACLmHkJ\nMzcDuBnA8SHbmX2kE7JqlWSQ+dvfgLFjy92brkFVFfDXvwILFgBXXFHu3hhG54eIroLUpvo25F5x\nMoA2OlXlw8xPAlgds8nxAG7MbvscgP5ENCSt/Xc0SUWWTqLaO5lSV8EkMT0diYqAUroyumMX5wUy\nP1sZVEXWsmXAokXF7UPFlY5ze87bq69Kn6qr5XlSDxbmwBq3bFnb9x9FJiN9M9Ink5HzvGkT8EqC\nirgmsnJJQ2RtIKIJ+oSIJkIKM8YxHIBrOF6Wfc3nACKaQ0T/JqLx7e+q0V5aWsSn+4wzgE9/uty9\n6VrU14uP+i9/CTz+eLl7YxidngOZ+TQAq5n5IgAHANilA/fv38eWI/w+VhEUK7Laaxl58kn5Hyay\nWlrSz4qXFN2vWpGKZU2CSqFJ3QU1sYiKLH3+0UfJ99HaKo81hqo9k2BtQ0VW0vaY5TM77lia0II1\na4C5c9Nv15DvZ8+e8njevPBtzJIVTRoi63sA/o+IniCiJwHcAuCcFNqdDWAUM38C4lp4RwptGu3k\nggvkB//naTrlGFvZcUcp6jx9uqTGNwwjEl3M25jNZtsMYPsy9id1Vq3qOEtPMVYJID0RdPvt4QkR\nnn02nfaLJanIWrIEeP11edzUFBTnvffewhPNpIkvXDEDBNa1JCJLP9/aKv185hl5Lcl5a2kJt+Sp\nEC/WkqXbVleX5nrW/nSkVXTLluKSf1Qqra2ByI/CvZ5NZOWSRjHiWdl4qnHZl17PugDGsRzAKOf5\niOxrbruuC+J9RPQnIhrEzKE/LzNmzNj6uKGhAQ0NDYmPwUjGXXcBf/87MHt2/o+/kR5HHilZG6dP\nl2xQNtZGpdLY2IjGxsZSNX8PEQ0A8GsAL0IyC15bqp2FsBzASOd53n3MpS33qMceAyZOBHbpAPtc\n0t+ZtBMpAGKJcNOlZzLlyzyok8RC+589W1wLx40D/v1v8USYNi1oI06AJLVk+YJW+5Rk7NV61Noa\npFtP+tlHHhEhd+CBuVkNVWSpZaNQ3zX2TI+3VCJLj2nTpo6LEX/2WVkIbW+2xs5Oa2syMV1fX7gc\nQWellPepVIoRA5gEYIdsexOICMx8Y8z2swCMJaLRAFYCOBVAzqVKREOY+d3s48kAKEpgAbk3MCN9\nFi8GvvY14M47JeDVKC3nny+Zm375S+BnVgjBqFB8MXHRRRel1jYzX5x9+E8iugcSH5zAWasoCNGx\nwXcBOBvALUS0P4CP9Z4VRme/RxEBq1cXLiORliWrT58go+HatYHI0vbLlVCptRWoqytsyXKPf8uW\nwJKl78W5XyYtRuyPdXNzeL2pqM9WVclnNjkBHEk+q+dl8eJwkaUZcOMm1bNmSfzVZz8bHG9NTWlE\nlrbZ1NRx1417vrsySZK06PmtVJFVyvtUGsWIbwKwE4A5APTrw8gGBIfBzBkiOgfAgwhSuC8gorPk\nbb4GwElE9E2IC8gmSICzUQa2bJFEF+efDxxwQLl70z2oqgJuuEFWsQ8/3MbdMHyIaC4kadItzPwm\ngFTzlhHRPwA0ANiGiN4BcCGAOmTvUcx8LxF9mojegKRw75DU8qXi/feB++8vvDKflshyJ2Ou1Ugn\n+MVmO0wLZikS74qsNWvEuvPZz+Zup6iFJunYJC1G7CcZaW4WAZh07NWS5boXJvlsfX1Q28pF++yK\nrCjWrAmSiHSUJcsyF6aPWrIOOQRYuDB8G70+K1VklZI0LFn7AhjPXNzQMvP9CFwM9bWrncd/BPDH\nFPpntJOf/AQYMgT4/vfL3ZPuxfDhwFVXAV/8IvDSS0C/fuXukWF0Ko6FLL7dSkStkHjgW5n5nTQa\nZ+bPJ9gmjfjjRLzxBjBmTOnER9KJe5oia889JWOZ25bGuZQr66DGoLjC78MP8yfwbp9ra3NFVjEx\nWYW2c/fV3CwCMKklS/fxyU8GmQmTfLZnT2C77XItYEBwTtxajlHH6ifHUJHljuOOOwJvv124P4Vo\nb7ISIxq1yhZaDKhkS1YpSePneh6AoSm0Y3RC7r4buO024PrrreBwOTjhBOCII4BzOmwqZxiVQbYE\nyP8y80QAnwewF4AUpmydk1mzcmNr0ibp5KitMVlhE+AxYySmyRVU5U7t3tqab8kKIywNe1stWXHb\nqTUKKE5kadt77imLpPvuK7WqkpznzZslk6F/DlpagP33D4R+XN/dAsq6T9+SVVeX7DgKoW12Fxc+\nRVP8R8HcfuueugsWElBpiqw33gA2bmx/O4XoiCymaYiswQDmE9EDRHSX/qXQrlFmli6VOKyZM4FB\ng8rdm+7Lb38rmaH+9a9y98QwOhdENJqIzoO4De4K4Lwyd6mkdIaFrrZYspYtk8W6sHb8iXeS4qel\nhFkm/64lK2zi6L7mF1Yu1pIVZyFQkbVxo/wVY8kCgD32CPZVVZXss83NYq1yx2DlSonRqvH8n5Ja\nsqqq8s+131Zb0WPqTiKrtRV4+eX4BC1vvCGZOqN45x2Z3xXaTyEBlaa7YHOzLChFpYt3mTVLjrGt\n/N//iZdQKUnjEp+RQhtGJ6OlBfj858VF8MADy92b7k3v3mJJPOkk4KCDLPGIYQAAET0HoBbArQBO\nZua3ytylkpNGptFMRhIE9O6d+3pSV6sokTVzptRO7N8//zNNTeFtEcnk2xdZdXXpiqzmZhF6O+5Y\neFtNfFFIZAGBRccv9FsKS9add8prPXpI3Nrjj4sbYBx+21o3qxA6Bu45eCfrhDt4cHT7fhvucQD5\niS+IgL33FrHQHpKKrNZWsey47o5tRY/plVfEWtjR6DhqMpQw1q8Pf13x3UHD6GhLlvYpyYLSG29I\nopOxY9u3z1LSbksWM/8HwGIAtdnHsyDpdI0K5uKLxS/7vC69Llw5TJkisVnf+pb5PBtGltOYeQIz\n/6orC6wwt7T28PLLUo6jvf0Jm6yvXh3+mTBxGJUMoRQiq5hitTqprKoKhFbUb66eD19kpW3Jct/v\n0UMEY6E6imFtJrVkaVyaew7q64Hdd88VKHGTavezbnbBlStzP6+iXAXrsmWF+xe1r0ILBfPnA3ek\nUHH1jTeCayOJxaUUxLlIrlkTpNCPI4m7Zpgl6733AtENpBuTVaylvK3WS22/1N4B7RZZRHQmgNsA\naNKK4UhQOJiIphLRa0S0kIh+HLPdJCJqJqLPRm1jpMtjjwHXXgvcdFP5MjwZ+Vx8MfDqq8Att5S7\nJ4ZRfpj59VK2X+geRUSHENHHRPRi9q9kxRZ04pHG77E/KSl2UhQXkxU1yVWR1doabBPnLlgKS9am\nTcmOVQP9a2vz++qj58N/P0k8V5LJXWtrbkwWICIr6Tnz99EekbVlS259LCWJyNK+hKXG33ZbYJ99\n5P1Nm4Annih+4uwnK4nqU1rZB2fNAj7+OH6bdeuAOXNyX2tuTl5IuhB6rP54btokBbGXLSt8nagF\nLO6aCLNkPfcc8NRTudsAQU209pB0oUJpa7ITvcZK7WKaxhT6bABTAKwFAGZeBGC7uA8QURWAPwA4\nCsDuAKZnCxqHbfcrAA+k0E8jAR98AJx2mrinDbV0Jp2Knj0lrft3vwusWlXu3hhG1yXpPQrA41lr\n2gRmvqRU/fFjfkrRdlLcdOI+URMeFSO33JIbI6KWLLcPpRBZLS3S7yi3RRedVCaZtLsTz7q64PED\nzoxl9WopXKu0toobV9IU7r4wcq2CcRPMMCGXVGRlMvkZFpubo1O6R7Wh/dC++JYTfW2XXXJTzbdF\n+KuL58yZ0anGS7lonMnkirj33wcWLMh1yVu4MPfaaO/+gPxrQBNGvP9+MrdVIHArfO21ILunopYs\nV0CFnZ+0LVlJ2vGtvGFEuUxWksjazMxbu0lENQAKDc9kAIuy2aGaIUHLx4ds922Iley9FPppFKC1\nFfjylyUW68gjy90bI4xJk4AzzwS+8Q1zGzSMEpL0HpWqs8nTT4dn1UpTcPgT42Lb1t+dDRvy33s9\nwrboTm59wRhmyerZM53JD7O0pxPRsD776KSyurqwyKqqkkmpJnUI2+7NN3PTlC9c2LaYrJoaYLfd\nApFVXS2i5KmnCifmcPub5L6hyT/c8xImsnTb994D3n03/3Ugd6IfJrLcfvlul0lRYa7nKyoZRCld\nw154IXcBQY977drgtbSyKQLh7oKbNgWiThcW4tD3Fy6U9l56KX8BN8yS5bfrXs8d6S4Ydj363H13\nuBuzjluS34T2kIbI+g8R/RRAPRF9CsD/Abi7wGeGA1jqPF+WfW0rRDQMwAnM/GekfCMzwvnd7+RH\n+5KSrccaaXDBBXLj/sc/yt0TwygfRNSLiC4gomuzz3cmomNSar7gPSrLAUQ0h4j+TUTj27PDTAZY\nskTiKXziLFlLlxYOcHdJS2SF7bOpSTLQJe1PVExW377JgvILMXu2ZDXUSXeYgP3gg9x9JZlUuv3f\nsCFIjR62XZg7l37W3WcYzDKRbGqSx3vuGXyub1+Jy3rnnWiLVrGJL9yJeU1NMktWc7MUan700fy+\nA3I+tR9xIiOJqI0ikxE3SrVURh1jKSxZKnr9aytsMULdLdNIGx5mybrjjiBbXnNz4f20tgLDhsl3\nVn933PY++kj6397sguvWJT+nxViyevSIf1+/a2HnfcuWoBacK4TTJo3sgucDOAPAKwDOAnAvgOtS\naPdyAK4ffKzQmjFjxtbHDQ0NaGhoSKEL3YfnnwcuvVT+J1kdMMpHjx7izjltGnDYYcD225e7R4YR\nTmNjIxobG0vV/N8AzAZwQPb5csgi3z2l2qHHbACjmHkjEU2DxCLvErVxoXuUCpOwTGFxIuvJJ+U3\noK23vGJFlvYlKr7lmWdEDOyxR/BalKUlKrtgfX0Qv1VbC9x8M3DiicXfm1avzo0DCxNZDz0kk63D\nDw+Or6Ym17VO+6fxWi4aNxUlsnyLXDHWGmaJWXrtNfmcK0RccbplS76AKTbxxcaNksHwc58LEn/o\n8VVVhe8DiE524lokXIuViysCkyQaiWLzZsmW+f778jzqmi5GZGUygYUsDn0/7LoAwq1qTU1Sh6w9\n+CJLhUJLS2DVK2S5a20V4TdkSJAKXdt7/XXgxWwKuzFjCi86EIlF89FHgenTc9+75x6pr5Yku6e/\nj48+kmsvLHylZ8/wRSlFf1PD+tvSInOp3r2Bxx5rxEsvNRbuXBtot8hi5lYA12b/krIcwCjn+Yjs\nay77AriZiAhSi2saETUzc2heJPcGZhTHmjXAqacCf/4zsMMO5e6NkYSJE4GzzpK/O+/sHPVzDMPH\nFxMXXXRRms3vxMynENF0AMiKnbS+CQXvUcy83nl8HxH9iYgGMXNoaHuhe1RcQolCQqgYlxcdoZdf\nlmxxbYnJCnON69EjEF5+imx3W135d4PlW1tzBU11tbTR1JTrSqYi69FHJX15oTpL7kRXLUJhNDXJ\nn/ZDRYabpts/Dn88/PdXrRLxFhUzo6vwSdwFe/QIxJq254rTMNfKYmOydJKeyQSCQVOuV1XJ+PiJ\nL9SSpWQyknBh9OhwkQXIBPz558Ubw329ujpoq5hrMpMRd8zdditcYy1srF9+GejXL18APP+8WHhO\nOile3EedRz3+sFIAaYgsP/GFCsymJjmeJCJLrbbDh0syC7c9/V9bG53C/eOPgQED8q81ZrGwj3J+\nQePqeS1YIIXWDzooX2S9+qpcU75wA4Kxj0oko/uM+k2trpZrfP/9G3D88Q1b30vzPpVGdsG3iegt\n/6/Ax2YBGJstJFkH4FQAOeKJmcdk/3aExGV9K0pgGW2HGfjqV8UqcuKJ5e6NUQwXXCDuRddfX+6e\nGEZZ2EJE9cjGABPRTgBSyh9W+B5FREOcx5MBUJTASkKctaqQ9aOYSalORubPl5XeYlNQR4ks97k/\nodL39twzd0XaDah/9FHJbKt1f9wivH77urqdpK+AiD8t4vvII/nuQZs3y77vvDPcXVDxx1nd7/QY\n3O0fe0xc+Xxht349MHVq7sQ9zg1Lx0jRx0TBOEeNRTEiSxMeNDcH+1BrGXMwhj7uud64UeIK1b0R\nyBdZgIhPv3+uaCzGkrVihfS5T5/gtQ0bwt1NwyxZ8+fnJ8pYskQEFhBYcxS3b3V1QZs8DIX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UT0ChHNbWfbSe5R/jbLQ7bJwZ3QrF0bCIWFC4Pg9bBJpboEvfgi8Nhj8toTT8jqsGYY05VZXXEn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AMdRQH6ZMXfx/dRdl3k+ZPCMz5ADg0yJyLM7Fa10RuR34yPpnLbOAD1X15eDzvTgly66hHEcA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\nIvoVEW0joscrXdbRxOAgcNttwCc+Ue2SGCPB6tWSDrm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0kogmVaNsI0U9tVGlENe+JT2v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\nIXmTr8+hfAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1992b7b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"traceplot(trace[1000:]);"
]
}
],
"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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