{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# PyMC3 with NetworkX for BayesNets" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "## For debbugging\n", "%load_ext autoreload\n", "\n", "%aimport pmml.bn\n", "%aimport pymcnet.net\n", "%aimport pymcnet.expr_parse\n", "%autoreload 1" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "# from networkx.drawing.nx_pydot import graphviz_layout,write_dot # pygraphviz\n", "%matplotlib inline\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# import multiprocessing\n", "import pymc3 as pm\n", "import networkx as nx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Helper Functions" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from pymcnet.net import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model 1 (lin. Regression)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Initialize random number generator\n", "np.random.seed(123)\n", "\n", "# True parameter values\n", "alpha, sigma = 1, 1\n", "beta = [1, 2.5]\n", "\n", "# Size of dataset\n", "size = 100\n", "\n", "# Predictor variable\n", "X1 = np.random.randn(size)\n", "X2 = np.random.randn(size) * 0.2\n", "\n", "# Simulate outcome variable\n", "Y = alpha + beta[0]*X1 + beta[1]*X2 + np.random.randn(size)*sigma" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "D = BayesianNetwork()\n", "# root nodes can be defined staticly. \n", "D.add_node('alpha', mu=0, sd=10, dist_type='Normal')\n", "D.add_node('beta', mu=0, sd=10, shape=2, dist_type='Normal')\n", "D.add_node('sigma', sd=1, dist_type='HalfNormal')\n", "\n", "# inheriting nodes need to have functions as attributes to be called at runtime. \n", "# You can reference the RV's associated with other nodes using BayesianNetwork().d(othernode)\n", "D.add_node('Y_obs', \n", " mu = lambda: D.d('alpha')+\\\n", " D.d('beta')[0]*X1+\\\n", " D.d('beta')[1]*X2,\n", " sd = lambda: D.d('sigma'),\n", "# exprs = {'mu':'alpha + beta*X2 + beta*X1',\n", "# 'sd': 'sigma'},\n", " observed=Y,\n", " dist_type='Normal')\n", "D.add_edges_from([('alpha','Y_obs'),('beta','Y_obs')], var='mu')\n", "D.add_edges_from([('sigma','Y_obs')], var='sd')\n", "# [i for i in nx.ancestors(D, 'Y_obs') if D.edge[i]['Y_obs']['var']=='sd']" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: using box for unknown shape 2\n", "\n" ] }, { "data": { "image/png": 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RJGlMi4h9gbuAv87Mq4rOI40Ey7BaWmb2A8cAZeAb1SNEJUk1IuIdVE6WOzkz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\nPLc0Zai9a15Gx6Ev7PDB0sptj2zfnJP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "['alpha', 'beta', 'sigma', 'Y_obs']" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "draw_net(D, pretty=True)\n", "D.nodes()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alpha\n", "root node; keys: ['sd', 'mu']\n", "beta\n", "root node; keys: ['sd', 'mu', 'shape']\n", "sigma\n", "root node; keys: ['sd']\n", "Y_obs\n", "child node; keys: ['observed', 'sd', 'mu']\n" ] } ], "source": [ "with pm.Model() as model:\n", " instantiate_pm(D)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "100%|██████████| 1500/1500 [00:01<00:00, 901.65it/s]\n" ] } ], "source": [ "with model:\n", "# step = pm.Metropolis()\n", " trace = pm.sample(1000)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "(1000,)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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mVNT67kfuCVMrcqMXwmh39HmVvznQgEP1HX4L5ehR1dzlc/2Uz+Yh2eSD3DPp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\nitmfjUOd6nPKJh8v7KyKACb+/cW+fnVHDafs+z6XBZjxVBhsry2P5ESGq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Xjvmc3cen47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\noiiKoiiKoihKnvj/AErDaH7pGNAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace, combined=True);\n", "trace.get_values('alpha').shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`![pymc3_net](pymc3.png)`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model 2: Coal-mining Switchpoint" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "disaster_data = np.ma.masked_values([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, -999, 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, -999, 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], value=-999)\n", "year = np.arange(1851, 1962)\n", "\n", "plt.plot(year, disaster_data, 'o', markersize=8);\n", "plt.ylabel(\"Disaster count\")\n", "plt.xlabel(\"Year\")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "D = BayesianNetwork()\n", "# root nodes can be defined staticly. \n", "D.add_node('switchpoint', \n", " lower=year.min(),\n", " upper=year.max(), \n", " dist_type='DiscreteUniform', \n", " testval=1900)\n", "\n", "D.add_node('early_rate', lam=1., dist_type='Exponential')\n", "D.add_node('late_rate', lam=1., dist_type='Exponential')\n", "\n", "# make sure to assume strings as input (node names) and use\n", "# node dist as the vars\n", "rate = lambda: pm.math.switch(1*(D.d('switchpoint') >= year), \n", " D.d('early_rate'), \n", " D.d('late_rate'))\n", "\n", "# inheriting nodes need to have functions as attributes \n", "# to be called at runtime. \n", "\n", "D.add_node('disasters', \n", " mu = rate,\n", " observed=disaster_data,\n", " dist_type='Poisson')\n", "\n", " \n", "D.add_edges_from([('late_rate','disasters'),\n", " ('early_rate','disasters'),\n", " ('switchpoint','disasters')], var='mu')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['switchpoint', 'early_rate', 'late_rate']" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D.predecessors('disasters')[::-1]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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qLsNWlt59913OPPNM3n77bd5++21uvPFGnnnmGcaOHcvo0aNTxzMrG/5esUrm\nr28rBZdhK0vrr78+X/rSl+jQoQODBg1i9913RxJf+tKX/Fu/WRv+XrFK5q9vKwWXYStLtbX/uY+i\nQ4cOi//coUMHFi5cSMeOHVm0aNHivzNv3rySZzQrB/5esUrmr28rBZdha5cGDhzIK6+8AsArr7zC\npEmTEicyK0/+XrFK5q9vKwSXYWuXDjnkEKZPn86gQYO49NJL2XjjjVNHMitL/l6xSuavbysE70Bn\nqR0AXA/0LMK5nwZ2LsJ5zVJZSHE2x2gF6vH25ZbWHIqz9nwL2W6n04twbqsAvjJsZmZKHcCsiPz1\nbcvkMmyp/YviDVRTinRes1RmFem8LcD8Ip3bbEXNKNJ5OwAzi3RuqwAuw5ban4GPgQUFPu9c4KYC\nn9MstZvJ3koupGbgLsBz5iy1Gyn81/dc4AFg0fL+olUvzxm2ctAP+CPQg9X4gbxgwYJOzc3NXbt1\n67agpqbmeOCGQgU0KxMdgOuAg1iBXyBnzpzZs6GhYVlXkzsBjwMHk81HNktJwOURcWxzc3PHiFB9\nfX2zpFX9udAReA7YH7/zYcvgMmzlog74ErDO6pzkyiuv/PyPf/zjc95///2TIuKOwkQzKysCvgis\nT/bDfqkOPPDAu++5557hSzncSjaV6E181czKxIgRIzpMnTr15vXWW2+Tiy+++EdrrrnmqpbYRcD7\nZO8+thYuoVUil2GrOJL+i+xtsXMj4urUecxSkRQR4ZuHrF2QJOBSYAtgr4hoShzJqsQyryqYtUcR\n8SdJuwCPSOoVERemzmRmZkuXK8K/ALYChroIWym5DFtFioh3JO1ErhAD3w2/DWJmVnZyRfgCYCdg\nj4go1qopZp/Jq0lYxYqIv5NturE7cLmkYmxWYGZmq+cHwN5kV4SLtbya2VK5DFtFi4hGsjK8IXCT\npM6JI5mZWY6kc4FDyK4IT0udx6qTy7BVvIiYDexHNi3oPkn1iSOZmVU9SWcDRwO7R8S/U+ex6uUy\nbFUhIuYBI4CpwKOS1kgcycysakk6HTiRrAj/M3Ueq24uw1Y1ImIhcDzwPDBRUt/EkczMqo6krwPf\nJCvC/0idx8xl2KpKRCwCziLb1vYZSZ9PHMnMrGpIOhE4G9gtIt5PnccMvLSaVaHcEmujJc0AnpK0\nT0S8kTqXmVklkzQSOA8YEhGTUucx+4TLsFWtiLgsV4gfkzQ8Ip5PncnMrBJJOgoYTTY14t3Uecza\n8jQJq2oMZSuuAAAgAElEQVQRcTMwCrhH0tDEcczMKo6kw4Cfk22x/HbqPGb5XIat6kXEQ8BBwPW5\nQdvMzApA0oHAr4C9I+LPqfOYfRZPkzADIuLZ3JXhByU1RMSVqTOZmbVnkvYFrgD2jYjXUucxWxqX\nYbOciHhN0i7AI5J6RcTPUmcyM2uPchcXxgEHRMTLieOYLZOyG+vN7BOS1gUeAe4Hvh3+JrF2SlJE\nhFLnsOoiaVfgVuCgiHgmdR6z5XEZNvsMknoDDwKvA1+LiNbEkcxWmsuwlZqknYA7gBERMSFxHLMV\n4hvozD5DREwDdgfWB26WVJs4kplZWZO0PVkRPspF2NoTl2GzpYiIJmA/su+T+yR1SxzJzKwsSdoK\nuAcYGRGPpc5jtjJchs2WISJagMOB98k25+iVOJKZWVmRtAXwAHBCbqlKs3bFZdhsOSJiIXAi8BTZ\n9s39EkcyMysLkjYDHgJOiYh7U+cxWxVeWs1sBeRWlDhb0nTgaUlDI+K91LnMzFKR9EWylXfOiIg7\nUucxW1Uuw2YrISIukDSD7ArxPhHxeupMZmalJmkj4FGy5SdvSp3HbHW4DJutpIj4raSZwKOSDoqI\n51JnMjMrFUmfBx4HzouI61LnMVtdnjNstgoi4hbgOOBuSXunzmNmVgqSBpAV4Z9GxNWp85gVgsuw\n2SqKiPHAcOBaSYenzmNmVkySPgc8AfwyIi5LncesUDxNwmw1RMRzkvYEHpLUEBG/TZ3JzKzQJPUl\nuyJ8eURcnDqPWSG5DJutpoh4XdLOwCO5dYgvCO9zbmYVQtJaZEX4uoi4MHUes0KTf2abFUZu/eHx\nwMPA2S7ElpqkiAilzmHtl6TewJPAXRFxXuo8ZsXgMmxWQLkrww8AfwFOym3YYZaEy7CtDklrkF0R\nHg9817/gW6VyGTYrMEndgDuB2cBRuS2dzUrOZdhWlaSeZOsIPwOc6SJslcyrSZgVWEQ0AQcAi4AH\nJHVPHMnMbIXlxqyHgBdwEbYq4DJsVgS5q8FHAJOAx3Lz7szMypqkerKpXm8Ap7kIWzVwGTYrkoho\nBb5KdvPJU5LWTRzJzGypJHUF7gXeA06OiEWJI5mVhJdWMyui3FWVb0uaDjwjaWhEvJM6l5lZW5K6\nAHcD/wROcBG2auIybFYCETFG0gxgoqR9I+LV1JnMzAAkdQZuB2YBI3PvaplVDZdhsxKJiCslzSTb\nnOPgiHgmdSYzq26SOgE3AwuAo70cpFUjzxk2K6GIuA04BrhT0j6p85hZ9ZLUEbgB6AwcERELEkcy\nS8Jl2KzEIuIR4EBgnKQjU+cxs+ojqQYYBzQAh3o9dKtmniZhlkBEPC9pd+BhSQ0RcVnqTGZWHSR1\nAK4E+gH7RcS8xJHMknIZNkskIv4saWfg0dw2zqO9pqeZFZMkAZcBGwL7RMTcxJHMkvN2zGaJSeoL\njAceA87ykkZWKN6O2drKFeFLgC2BvSJiduJIZmXBc4bNEouID4FdgO2Aq3M3tZiZFUyuCI8lG2f2\ncRE2+w+XYbMyEBEzgD2BvsBtuQXwzcxWW64IjwZ2A4ZGxKzEkczKisuwWZmIiDnAMGA+8ICk7okj\nmVllOA/YH9gz94u3mbXhMmxWRiJiPnAU8C7wuKQ+iSOZWTsm6bvACGD3iGhMncesHLkMm5WZ3Fao\nXyO7oe4pSZ9LHMnM2iFJZwGjyIrwR4njmJUt36hjVoZyS6x9V9J04BlJQyPir6lzmVn7IOk04GRg\nl9xNuma2FC7DZmUsIsZKmgFMkLRfRPwpdSYzK2+SvgacQVaE/546j1m5cxk2K3MRcXWuEI+XdEhE\nPJ06k5mVJ0lfAb4LDImIKanzmLUHnjNs1g5ExJ1kN9bdKWm/1HnMrPxIOhb4EbBHRPwtdR6z9sJl\n2KydiIjHyJZH+p2ko1LnMbPyIelw4GdkRdj3F5itBE+TMGtHIuKPknYDHpa0RkT8OnUmM0tL0sHA\nxWTrCL+VOo9Ze+MybNbORMSbknYGHpXUC/hxbvUJM6sykg4ALgP2jog3Uucxa4/kn6Fm7ZOkdYDx\nwJPAGRGxKHEkKzOSIiKUOocVh6S9geuA/SLixdR5zNorzxk2a6ci4p/ALsBWwDWS/E6PWZWQtAdZ\nET7QRdhs9bgMm7VjETETGAqsCdwhqUviSGZWZJJ2AW4CDomI51PnMWvvXIbN2rmIaAaGA83AQ5J6\nJI5kZkUiaUfgduBwrzluVhguw2YVICLmA8cAbwNPSFozcSQzKzBJ2wJ3AUdHxBOp85hVCpdhswoR\nEa3AKcDDwNOS+ieOZGYFIum/gXuB/4mIR1LnMaskvuHGrILkllj7nqTpZIV4r4j4v9S5zGzVSRoM\nPAicFBEPpM5jVmlchs0qUERcJGkGMEHSfhHxSupMZrbyJA0ie7fnGxFxd+o8ZpXI0yTMKlREXENu\n2kTu7nMza0ckfQF4BDgzIm5LncesUrkMm1WwiLgLOBK4LbdTlZm1A5I2BB4DzomIG1PnMatkLsNm\nFS4iHgf2A66UdEzqPGa2bJIGAo8DP4qIcUnDmFUBzxk2qwIR8aKk3YDxknpFxCWpM5nZknKrwDwB\njImIK1LnMasGLsNmVSIi/iJpJ+BRSWsAP8ytPmFmZUDSumRF+FcR8evUecyqhfyz0Ky6SFqb7O70\np4D/jYhFiSNZkUiKiFDqHLZ8ktYBJgDXRMTPEscxqyouw2ZVSFIDcB8wGfhKRCxIm8iKwWW4fcjt\nGPkkcEtE/Ch1HrNq4xvozKpQRMwE9gJ6AXdI6po4kllVktSbbNWIu12EzdJwGTarUhHRDAwHZpOt\nRdwzcSSzqpJ7h+YRYDxwbuI4ZlXLZdisiuWmRxwLvAE8KWmtxJHMqoKkHmQl+Gng//lmVrN0XIbN\nqlzuBrpvAPcDT0taL3Eks4omqRvwIPAy2U2sLsJmCXlpNTMj98P4+5KmA89IGhoRb6fOZVZpJNWR\n/eL5NnCqi7BZei7DZrZYRPxS0gyyKRP7R8TLqTOZVQpJXYB7gCnAV72soVl58NJqZrYESQcCVwIj\nImJC4ji2iry0WvmQVAvcBcwCjomI1sSRzCzHc4bNbAkRcQ9wOHCrpGGp85i1Z5I6A7cBzcBxLsJm\n5cXTJMzsM0XEk5L2Be6T1BAR16XOZNbeSOoI3AgEcJQ3uDErPy7DZrZUEfGSpN2A8ZLWiIiLU2cy\nay8k1QDXA3XAQRExP3EkM/sMLsNmtkwR8ZakLwOP5nbLOs93wJstW64IXwP0AQ6IiJbEkcxsKXwD\nnZmtkNyGHA8DzwGn+U748ucb6NKQ1AG4AtgA2C+326OZlSnfQGdmKyQiPgJ2BTYHrpfUKXEks7Ij\nScClwCZkV4RdhM3KnMuwma2wiJgF7AX0AO7KbSBgZiwuwr8A/hvYNyKaEkcysxXgMmxmKyUi5gIH\nAzOBhyX1TBzJLLlcER4D7ATsHREfJ45kZivIZdjMVlpueajjgFeBCZLWThzJLLUfAXsCe0bEzNRh\nzGzFuQyb2SrJ3UD3TbLtZZ+WNCBxJLMkJJ0LDCcrwtNT5zGzleOl1cxsleWWWDtf0nSyQrx3RPwl\ndS6zUpH0beBoYEhE/Dt1HjNbeS7DZrbaIuISSTOAJyQdEBEvps5kVmyS/hc4HtglIv6ZOo+ZrRpP\nkzCzgoiI64ETgQdyu9aZVSxJXwe+AewWEVNT5zGzVecybGYFExH3ASOAmyUNT53HrBgkfRU4G9g9\nIj5IncfMVo+nSZhZQUXEBEn7APdLaoiIcakzmRWKpFHAucCuETEpcRwzKwCXYTMruIh4WdKuwHhJ\na0TEL1JnMltdko4GfkI2NeLd1HnMrDCU3QxuZlZ4ktYDHgFuB84NDzglJSkiQqlzVAJJhwGXAHtE\nxJup85hZ4bgMm1lRSVoTeBj4I3Bqbn1iKwGX4cKQdBBwGbBXRLyWOo+ZFZZvoDOzosqtvborsCnw\ne0mdE0cyW2GS9gcuB/Z1ETarTC7DZlZ0EfExsA9QD9wtqS5xJLPlkrQX8DvggIh4JXUeMysOl2Ez\nK4mImAscAjQCj0hqSBzJbKlya2XfABwUES+kzmNmxeMybGYlExELgFHAy8AESWunTWS2JEk7AbcA\nh0bEs6nzmFlxuQybWUnlbqA7HbgTeEbSwKSBzNqQtD1wB3BkRExMncfMis/rDJtZyeWWWPuhpOnA\n05L2ioi/pM5l1U3S1sA9wHER8VjqPGZWGi7DZpZMRFwqaQbwhKRhnptpqUj6L+B+4PiIeDh1HjMr\nHU+TMLOkIuL3wAlk2zfvkTqPVR9JXwIeAk6OiPtS5zGz0nIZNrPkIuJ+4FDgRkkHp85j1UPSpsB4\n4PSIuDN1HjMrPU+TMLOyEBFP5dZ1fVBSQ0T8LnUmq2ySNibbLvz/RcTNqfOYWRouw2ZWNiLiT5J2\nIVuHuFdEjE2dySqTpA2Ax4DvR8T1qfOYWTrKbuo2MysfkvqTXbG7CzgnPFCtEkkREUqdo9xIGgBM\nBC6IiMtT5zGztFyGzawsSepDdlPTy8DXI6I1caR2x2V4SZI+R1aEL46IS1LnMbP0fAOdmZWliGgE\ndgM2Bn4vqXPiSNbOSeoLPAH8xkXYzD7hMmxmZSsiZgP7Al2AeyTVJ45k7VRu6+8ngHER8fPUecys\nfLgMm1lZi4h5ZMuu/ZPsxro1EkeydiY35eYx4JaIGJ06j5mVF5dhMyt7EbEQOB54AZgoqa8y6yeO\nZmVKUh9JHST1Ah4F7gN+kDiWmZUh30BnZu2GJAHnAKPICs4xwAERMSFhrLJVrTfQ5eYGTwReJJtz\n/hRwllclMbPP4jJsZu2OpDuBg3J/bAFGRMS9CSOVFUmfGtirqRDn5gZPADbJPfVXYFDu3QUzsyV4\nmoSZtSuStuY/RRigFrhT0nGJIlmZaDM3eJM2T28MnJomkZm1By7DZtauRMSLwNl5T9cA10r6ZoJI\nVgbazA3eLO/QfcBvSp/IzNoLl2Eza3ci4kLgRGBR3qFfSvphbm6xVQlJPYHxwBZ5hx4GDouI+aVP\nZWbthecMm1m7JekQ4EYgf0OOXwOnRUR+Wa4K1TRnWFJ3sq27t8s79BgwLCLmlj6VmbUnLsNm1q5J\n2hO4C8jfkONGYFRELCh9qrSqpQznNmF5GPhy3qGJwL4R0Vz6VGbW3rgMm1m7J2k74EEgf0OOB8hW\nmqiqUlQNZVhSHXA/sGveoWeBvSOiqfSpzKw9chk2s4ogaTOyt8v75h16mmwt4lmlT5VGpZdhSV2A\ne4CheYdeAPaMiI9Ln8rM2ivfQGdmFSEi/gzsCLyXd2gnYEJu/Vlr5yR1Bm5nySL8CtkVYRdhM1sp\nLsNmVjEiYhLZ/NHX8w5tATwtaUDpU1mhSOoE3ALsl3fodWBoRMwofSoza+9chs2sokTEP4EhwHN5\nhzYCnpW0aclD2WqT1BH4PTA879BfgD0iYlrpU5lZJXAZNrOKk7tCOJRspYG21gWeyu1iZ+2EpBrg\nWuCwvEN/BXaPiH+XPpWZVQqXYTOrSBExBziQ7G31tnoDT0jarfSpbGVJ6gBcBRyVd+g9YLfcOwFm\nZqvMZdjMKlZu57GjgcvzDnUDHpKU/5a7lZFcEb4cGJV3aDJZEf5HqTOZWeVxGTazihYRrcApwOi8\nQ52BOySNKnkoW67cltqXkG273dYHZEX4/dKnMrNK5DJsZhUvMucAZ+Ud6gBcI+l/E8SypcgV4Z8D\nX8879CFZEZ5U+lRmVqlchs2sakTEz4HjgUV5hy6S9ONcCbOEcv8Nfgrk/4LyL7Ii/G7pU5lZJfMO\ndGZWdSQdDNxENlWircuAUyMivyy3K+15BzpJPwC+n/d0IzAkIt5MEMnMKpzLsJlVJUm7k23pW593\n6GZgZO7mu3apvZZhSecAP857egawa0S8liCSmVUBl2Ezq1qStgEeAnrlHXoIODQimkufavW1xzIs\n6VvAmLynZ5GtI/xygkhmViVchs2squV2pHsU6Jd36Flg/4iYWfpUq6e9lWFJ3wR+mff0bGDPiPhj\ngkhmVkV8A52ZVbWI+AuwI5B/Y9aOwARJa5c+VfWQdDJLFuE5wL4uwmZWCi7DZlb1ImIy8GUgf17q\nYOAZSQNLHKkqSDoe+E3e03PJrsg/kyCSmVUhl2EzMyAi/gUMIZse0daGwLO56RRWIJKOA67Me7oF\nGBYRE0qfyMyqlcuwmVlObn7wULIb6NrqBzydu+HOVpOkI4BrgLZzmecDB0XEY2lSmVm1chk2M2sj\nt4LEcLJ1iNvqBTwhaY/Sp6ockg4BbuDTP38WAodFRP4vIWZmRecybGaWJ7fG8DEsOZ+1Hnggt2mH\nrSRJw8jWca5p83QrcERE3JsmlZlVO5dhM7PPkNuF7lSW3ASiM3CbpK+UPlX7JWkf4HagY5unFwHH\nRsQdaVKZmbkMm5ktVWTOBc7IO9QBuFrSmQlitTu5qSV3AZ3aPB3A/0RE/nQUM7OSchk2M1uOiPgF\n8D9kVzLbGivpJ5LKelOLlCQNAe4FavMOnRgR15U+kZnZp3kHOjOzFSRpOHAL2VSJtn4LfD0iWkuf\naknlsgOdpB2B8WRzrds6JSIuSxDJzGwJLsNmZitB0m7APUC3vEO3AMflbr5LqhzKsKRtyba57p53\n6PSIuLjUeczMlsZl2MxsJUnammwt4t55hx4GDo2IOaVP9R+py7CkLYHHgZ55h86OiAtLmcXMbHk8\nZ9jMbCVFxIvATsA/8g7tDTwiaY3SpyoPkgaTXRHOL8LfcxE2s3LkMmxmtgoi4i1gR+CdvEM7ABMl\nrVP6VGlJGgQ8BuT/MvDDiPhJgkhmZsvlMmxmtooiYgrwZeDVvENfAp6RtH7pU6UhaROyqRF98g79\nDDi/5IHMzFaQy7CZ2WqIiI+AIcDTeYc2AJ6VtFnJQ5WYpA2BJ4C18w79AvhO+OYUMytjLsNmZqsp\nImaRzRd+IO9QX+ApSduVPlVp5K5+P0H2ubb1a+BMF2EzK3cuw2ZmBRARzcBBwI15h9YAHpO0Z+lT\nFZek9ciKcP+8Q1cCp7kIm1l74DJsZlYgEbEAOBa4NO9QPfCApENLn6o4JK1LVoQH5h0aB3wtIvJ3\n6zMzK0suw2ZmBZQrgacBP8w71Am4RdIJpU9VWLmVMh4nmxfd1o3ACS7CZtaeuAybmRVYZM4DTs87\n1AG4UtK3EsQqCElrkhXhL+Qdug0YWS5bUpuZrSjvQGdmVkSSjgN+B9TkHboA+G4x5tUWawc6Sb3J\npkZsnnfobmBEbpqImVm74jJsZlZkkoYBtwK1eYeuAE4p9NXUYpRhSQ1kV4T/O+/QA8AhEdGyuq9h\nZpaCy7CZWQlIGgLcC3TPO3QbcExEzC/gaxW0DEvqQbbF8jZ5hx4BDoyIeatzfjOzlFyGzcxKRNKW\nwMMsuUvbI8DBETGnQK9TsDIsqRswnmyb6baeBPaLiLmrem4zs3LgG+jMzEokIl4GdgL+nndoKPCo\npF6lT7V0kuqA+1myCD8NHOAibGaVwGXYzKyEIuJtYEfgr3mHtgcmSsrfyW2lSOr3Gc/tvbLnldQV\nuAfYJe/Q82RXhAtyFdvMLDVPkzAzS0DSWsBDLHlD2t+APSPibyt4nt41NTWjunXrNqylpWWwpNr1\n11+/S8+ePencuTPz58+nqalp1rvvvlsbES21tbWvNTU13dva2jouIqYt5Zy1ZCtE7J136CVgj9z2\n02ZmFcFl2MwskdyNafey5NXXD4G9IuKNZXzsNvX19WcuXLhw2K677rpo6NChdYMGDaJv375IS04R\njgg+/PBD3nzzTR555JHmJ598skPHjh3vnTNnzs8j4oU25+0M3A4ckHeKV4HdI2L6Kn66ZmZlyWXY\nzCyh3HSEW1iyfM4E9o2I5/P+fq/6+vorOnXqtM+oUaO6HHzwwR3WWGONlX7dGTNmcOeddy4aN27c\nvAULFjw0Z86crwKzgZuBg/P++p+BXSOicaVfyMyszLkMm5klJqkT2cYcx+QdagYOiohHcn9vWJcu\nXcYdeOCBdWeccUZtXV3dar92c3MzF110Ucs999wzd968ea8DO+f9lbeBXSLio9V+MTOzMuQybGZW\nBiR1AH4JfCPv0ALg6C5dumzbrVu3ky+88MK6rbbaquCv/9JLL3HWWWcxa9YsFi5c+MnT75AV4Q8L\n/oJmZmXCZdjMrEwom+z7feD8ts936tSJ9dZbr2XcuHG1DQ0NRXv9GTNmMGrUKD744AMWLFjwN7Ii\nnL8MnJlZRfHSamZmZSIyPwBO++S5jh070r9/f2644YaiFmGANdZYg9///vf0798/amtrH3cRNrNq\n4CvDZmZlSNIxwLW9e/fucPfdd1PsItzWjBkzOPjgg5sbGxuPiIj7SvbCZmYJ+MqwmVl5erBLly7N\nY8eOLWkRhuwK8ZgxY+q6dOlybbntimdmVmguw2ZmZai+vv6KAw88sFMxbpZbEVtvvTXDhg2rq6+v\n/22SAGZmJeJpEmZmZUbSNg0NDU+OHz+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_net(D) # not pretty" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "switchpoint\n", "root node; keys: ['upper', 'lower', 'testval']\n", "early_rate\n", "root node; keys: ['lam']\n", "late_rate\n", "root node; keys: ['lam']\n", "disasters\n", "child node; keys: ['observed', 'mu']\n" ] } ], "source": [ "with pm.Model() as model:\n", " instantiate_pm(D)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Assigned Metropolis to switchpoint\n", "Assigned NUTS to early_rate_log__\n", "Assigned NUTS to late_rate_log__\n", "Assigned Metropolis to disasters_missing\n", "100%|██████████| 10500/10500 [00:57<00:00, 182.66it/s]\n" ] } ], "source": [ "with model:\n", " trace = pm.sample(10000)\n", " \n", " " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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vKPZV7NR09g6jvoZd8G30aOB78L1vUBUvSumuEMXOheTvIfNMqktl9xD4patv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DRD336k9Wp1RYTOVjyam6jrl4LKedR3mae2zdx8Z2wYhmEYRk1ao6K2SNENPHWqtiIqVb+0RZwq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KzXLx9Ytnc+G8UXz5z6v5z3vf5gOLx3LzRbNjWtbYmCg9CLwkIvV4SrW/AiAi0/AMExwWfDuc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\nD9a2TrMYit/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(year, disaster_data, 'o', markersize=8);\n", "data = trace[3000:].get_values('switchpoint')\n", "plt.axvline(data.mean(), color='r')\n", "plt.axvspan(np.percentile(data, 5), \n", " np.percentile(data, 95), \n", " alpha=.3, color='r')\n", "plt.ylabel(\"Disaster count\")\n", "plt.xlabel(\"Year\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Volatility" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "401\n" ] }, { "data": { "image/png": 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HfGNZUs1yUKzUv9i6OXNRnbmEEkz6xblUMZFLJ5FMiCYKIGrXpWlJtbw3Z45+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\nE8C7hRB3AfgggIuI6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pandas_datareader import data\n", "import pandas as pd\n", "\n", "returns = data.get_data_yahoo('SPY', start='2008-5-1', end='2009-12-1')['Adj Close'].pct_change()\n", "\n", "print(len(returns))\n", "\n", "returns.plot(figsize=(10, 6))\n", "plt.ylabel('daily returns in %');" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from pymc3.math import exp\n", "from pymc3.distributions.timeseries import GaussianRandomWalk\n", "\n", "D = BayesianNetwork()\n", "D.add_node('nu',\n", " lam=1./10., testval=5.,\n", " dist_type='Exponential')\n", "D.add_node('sigma', \n", " lam=1./.02, testval=.1,\n", " dist_type='Exponential')\n", "D.add_node('s',\n", " tau=lambda: D.d('sigma')**-2, \n", " dist_type='GaussianRandomWalk', shape=len(returns))\n", "D.add_edge('sigma', 's', var='tau')\n", "\n", "D.add_node('P_v',\n", " var=lambda: exp(-2*D.d('s')), \n", " dist_type='Deterministic')\n", "D.add_edge('s', 'P_v', var='var')\n", "\n", "D.add_node('r', \n", " nu = lambda:D.d('nu'),\n", " lam = lambda: 1./D.d('P_v'), \n", " observed = returns, dist_type='StudentT')\n", "D.add_edge('nu', 'r', var='nu')\n", "D.add_edge('P_v', 'r', var='lam')" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: using box for unknown shape 401\n", "\n" ] }, { "data": { "image/png": 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UZAAAgDzk7u/09PSkzpw5M6jznJ+P/OCDD2Yl1+nTpyWpw90bsnLCkIwKOwAAAAAGZvTo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\n9KyYZw5gmFGSARScC9bJXaI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_net(D, pretty=True)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nu\n", "root node; keys: ['lam', 'testval']\n", "sigma\n", "root node; keys: ['lam', 'testval']\n", "s\n", "child node; keys: ['shape', 'tau']\n", "P_v\n", "child node; keys: ['var']\n", "r\n", "child node; keys: ['observed', 'lam', 'nu']\n" ] } ], "source": [ "with pm.Model() as model:\n", " instantiate_pm(D)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "100%|██████████| 2500/2500 [01:49<00:00, 22.78it/s]\n" ] } ], "source": [ "with model:\n", " trace=pm.sample(2000)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ]], dtype=object)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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zn+3H2tl4qJX7N9dS62L8Uvh1R3eZa+jsi5vyO7JCsbW2nefTlEJ9LK2gz+9r\noqa5O+bnMHwNItnej7WdqGSGM0e29Sb/XDyTpHK+o65j2HxpsWJrco5/KsegtCA0Iqh72FxsEVlF\nXewr+kJKrE3cfptGm0UwnkxdPBoLtxWsu4FXReQWEbkFeAX4ebKNRORKEdktIvtE5PMxHhcR+Z7z\n+JZwelwRmSciT4nIDhHZLiL/L4XXlFa3Pr4bEfj0ZUuzFcKEcurMMh745EWcM6+Cz/x6M//9yK64\nV9CMMSbLVgMvikiNiNQALwHnishWEdmS3dDcCf+6hlsitkelbu7uH+Sl/c0MBoKjHgbe3NXPtgTJ\nIIIKD245xrbadnr9AZq7QwXAzr5BHt1WP6IbUKpnhOiC5ENb6tgQY7xNSmXuUZyWoisxkbYebR82\nBshN4XdgDN3tkvEHEj9/+Lzc0h2qFByKak2IJV7rzkv7m4e6xkVWqIJB5bHt9S4jPiFTLRkNnX1s\nPdo+1MUuUdEkWYUjsuUvN9z9LklZJ3o8Wayufu29fl6JSkkfHcrrR0Otb/E+P6mNZQpvM3Z17b2u\nu2sOa22epNxmEfxP4MNAq3P7sKp+LdE2IuIDfghcBSwHrheR5VGrXQUsdW43Abc5yweBf1DV5cD5\nwCdibJtxW4+288fNx7jxokXMmlKUfAMDQGVJPvfceB5/c958bn9mP9ff+XLasvsYY0waXQksAt7o\n3BY5y64Brs1iXK5Ej6EARrREbD/WQUNnHw2d/cMKdKkUYp/f1zSUHln1xHiToedOUpgPF+LTZTAY\njNniElmwTPb6whWgVC58P793ZOvLrvrQ8T3Q1DXsPBddsWjv8XOoeXgrTzYne05V78CJlsjwcd57\nvHNEV9DIYxT+zKTTwaZu+vyBUVXCXtofatELv+WxLv66bdGM9VmLt2V4zZcPxh6T5KZlKOZ2cfsO\nuts+ZibLVC7DRD3P/obklfSw1460jlg2lu9D5Gs52tpDR9/I+cTGWyoZG4qBDlX9LnBURBYlWX8t\nsE9VD6jqAPArYF3UOuuAuzXkZaBCRGapap2qbgJQ1U5gJ6HkGuOmq3+Qz/5mM9NK8rn50iXj+dST\nQn5uDl97xwq+9Z6z2V7bztXfe47HR3ElyxhjMkVVDwEdwBRgWvimqoecxzwvWaEk/Pj6mpZhE5CO\n5io3wM66Tv6yq2FYV6PofcVrmJGoSUIDQeW1w60ppYpP1CMi8lDEe32dfX4ONnWP6tVHd93yB4Ls\nru90lW4MerTDAAAgAElEQVT76T0NTsbGzHrg9dgD/5MWmxOs0DsQ4PEd9UMTIauGjsWOug5ejWpJ\n7B44cYzSPXFy70CALUfbeOXg2LIF5gy1YCX4LKWwP7frjjYbYar8QY2bfTGVcVth7U7G0eh1Xhhl\ngopMiKxgbTzUylNpTHwyWq4qWCLyb8A/A19wFuUB9ybZbA5wJOLvo4ysJCVdR0QWAucQ6pYYK7ab\nRGSDiGxobEzPwNNAUPmn377OgcYuvn/9OZTbBLqj9s5Vc3nw0xczb2oxN92zkX/549ZJM++KMWZi\nE5F/B7YA3yM0+fCtwDezGlQKUu3yF3l1ejRdtzv6/EPjnCLHD0XvK/x39BXyoT+d1Wtbeznc0sOu\nencF8R3HOhJXsJz/Gzr6ho2RCcfePxjg6d2NbDnaNuZMhgODQZ7bm54yRzLra1qobx/ZYhcrQUW4\nQh1d8daIxw80dp1ojXJxGDYcGl6h0Yj9RyYfGUtLZXuvn931nc7+YwcVfs/8g8ExjtcJ/R/rtSfq\nBhppWGXe5UWOaPG+v9Hfm/DxiN5NvGfdUNMyNNatdyAQ6h4cvrgRsVXk04S7G0Y/9+HmHp7e3UBD\nVGITVR3x+UslYUosiY5isnlWJ+w8WMA7CFVywq1Kx0Qk4+nZRaQU+B3wGVWN+QusqncAdwCsWbNm\n1N+5w809HO/so2cgwLf/vIfNR9r40tWnc+EpVaPdpXEsqirhdx+7kG8+vps7nj3Ai/ub+e57z2HF\n3CnZDs0Yc3J7D7DE6WUxIbX3+nl0W/wEEJEnRbfd4XoHAjy1u4GLllYNu8D41K4GphSF/o4cVB6d\nOSxcoOzuj11YDRfy+pzCrNvpT/Y2dDK7Iv48i+EC+EsHRrYotXQP8NSuhqF1knXrSuZoa89QcoNI\noYJeaOcHm7oZDARZOmNkcUkQ13NCRXY9jDzUj26r5/LlMyjMcz+P2bH2PrbWtlOcHyr+hd+L6NaV\nwxHdGaPrtPHmsxpLhfOl/U30DwZZUl3iav10TJjb5w9QlD/82A19dtLYe3OsuxrNMPbWngHq2nt5\n9WAL5YV5lBQkLu4/ufN4zOXh1qvO/kFae050u4t1oSOT3fKe2dPIijkTq8zotovggIY+zQogIm6+\nAbXAvIi/5zrLXK0jInmEKle/UNXfu4xz1O5+qYZ33/4SH7zrVQ41d/Od967kby9O1gvSuJWfm8MX\nrz6d+/72PHr6A7zjRy/ww6f2WQIMY0w2bQMqsh3EWCVK9x1ZDk1Unm/tHuDx7fX4A0GOtffiDwTZ\n19A1YrzVUMUkovQQ3fMt/LMePQYn/Pzhx8P7ik5XXdPUPeJ5o/cdS7J5pCKP01BrSFC5f3MtNS6S\nPKRqy9G2tHeTCyc4gNBrcJtEInyEwy1OyVobEqXzjnwLRlPPiX3eD0XYl+izHHH/SIv7cd09A4PD\nWtrCr31vQ/wxYuGKZ7iCkUg4rngV5mTHKNlUC/Eqk8kqma86XSk7+vzUOS2gqb5fkbFEtjRHtxCn\nRZLYIit40dy2go8nty1YvxGRHxMaI/VR4CPAnUm2WQ8sdcZq1QLXAX8Ttc4DwCdF5FfAeUC7qtZJ\n6FP6U2Cnqn7LZYxj8jfnzefSU6cDcOacciqK88fjaU86F55SxaOfuZgv/XEb33hsN8/sbuTW95zN\nvMribIdmjDn5/BfwmohsA4Yu4avq2+NtICLzCGXWnUGoSHCHqn7XybD7USB8Gf+LqvpwpgJ3Ykm6\nzvAuQfHX31nfQa8/QGtEN68jLT0jKi3hwvHe451Dy6K72yWbC2eoG1ucEtXrR9vIEeHas2fH3Tae\neGNPop3oIhf6v6a5m4VV7lpPUhVv3qh0JbkYU2vOKDZNtE2OSNLul4djVIRzc4R+4OndDVy+PPEs\nQIPBIHsbOhOuE+nPO44PtbwClBfmDVU6jrT0JCx/xJu3a9h4vAxfJx7q3pmGJ4pu0W5KkCE0shIe\n/ZbuOe7++LuPLcl3ewIlhQGXFSxV/aaIXE5oMPCpwJdV9c9JthkUkU8CjwE+4C5V3S4iNzuP3w48\nDFwN7AN6CGUqBHgD8AFgq4hsdpZl9GS1uLqUxdWlmdq9iVBRnM8Prj+HN586nX97YDtXf/c5vvpX\nZ/BXK+e47jJhjDFp8HPg68BWwO0AgnCW201OV/mNIhI+H35bVT0xhutYWy/VZQXDWgvi/byq6oku\nYkl+gsOFnKOtJ1oQolskYo2XqG/vG+o+9/y+Jk6bWT70WHd/gGBQyYloyYpXmIp8quau/mFJFRJt\nF60vqoUmNydxh57DURkA452rYiWyeDlGl8V06hnDuGY3xyu6Ane0tYeSglDXuuitRWIsTKKuvXeo\ndTEQ1LgVuOecOaRS6fgSTnYQ2RIVnnQXYMvR9pgVrHD3z8h1Ry3VVqOoL2Ems01uOdo2rKtr+JmP\ntvaw8VAr1WXh+V9Tu4iSCYNJspUmMzAYdN0dOR2SVrCcdOtPqOqbgISVqmhOhejhqGW3R9xX4BMx\ntnue0XeNNhOAiPCu1XNZu6iSz/56M5/99ev8ZVcj/7HuTKYUW1IRY8y46FHV76WygarWAXXO/U4R\nGfcst2HxKkztvX7W17Qwd2rRsMQDsSbjVOBARPe4ZIPFYxVu4xXSIxe/crB5WCVmV30Hy5yxSaFJ\napXVCyoTPjcwLElSrElr3Ra+o7tVRndTjBYrrfRYpauI+kSM8TOx9v3I1rq0zb01lJAi6r2PHIPm\n1qsuswKGY0+lJSPWuKDI7RWNO1ShpXtgaI6rRE4koYjzPRjjO53OusyI5Cdx9n2848RcdrHWc9tS\nnIrOvsGEXXUbOsfWLfG1w62ct3jamPaRiqRVOVUNAEERmVijy8yEMK+ymF/ddD7/eMUyHtlax1Xf\nfdb1j60xxozRcyLyXyJygYisCt/cbhwjy+2nRGSLiNwlIlMzEK8r4fEm0S0bdTEy0QH0RCSjEElc\noItViIxX1opuzUnUQSFcoEt2tT5ZRcdtYTa6UH0ydJ7IxMTGicZqZUqsCtH9m6OH+MfXGtHCGtSR\n6ffDBoNBV9npwh/ZtFU5nKd8/Ugb92+uPfH9SsMTRFeHXYYyQqZasCLHGKZbQ2f/sOynmea2rayL\nUHe9n4rI98K3TAZmTh65vhw++eal/O5jF5KXm8N1d7zEd57YM2xQqjHGZMA5hCaz/xoppmmPkeX2\nNmAxsJJQC9etcbZL+9QicWN0UzgMwoGmE4P9k20Rq5AecDm/U6J9pyvh0Yv73HXHG5HyWkMpumNN\nJhzLWOtjg8EgHTESKLh9/oT7DgRHdIEcjDq+Y02pPVmoKk/vjjNnUoofyXh1jngf7XClPt7T1DR3\nO/uNH8hYuw/G2zzUqhyxXtTjEzE/WVCVRxJkXE03t0kufu/cjMmYs+dV8NCnL+Zf/7iN7zyxlxf3\nNfOd61Yyu6Io26EZYyYhp+t7ymJluVXV4xGP3wk8GOc50zK1CMQv5Key0/7A8IL4aMbBbj/mLoPX\nyHTfkY/piGXHO/qYUR4/LXssblNFx+pmVtfWR3P3+EwGezBOV6h0PP9z+5pGVN4sY2/q3B6xoRas\nOLWVmuZuKktiJ05z06IS3uvBpm6mR30f4k0sHXdfSbKKRl9ACf8eRH9+MjkubLJIWMESkfmqelhV\nfz5eAZmTW2lBLt9+70ouXlrFv/5xG1d99zm+/q4VXHnmrGyHZoyZhETkbcAZwFDJRVW/mmD9mFlu\nRWSWMz4LQnNHbstMxO65qSv5A6l2Ghq9EfNlRRVh799cO2xOp5cPNLNuZWaGt8UqHk6WImOslrHo\nlPmZEivJx0Tltg4RXi1eSv4jLT2smj+yx3BX/2DMFpXo9y9cmamPk40yNcNfVHSSmGg9zuPW4pm6\nZF0E/xi+IyK/y3Asxgx556q5PPTpi1kwrZib793El/6wdUSXB2OMGQsRuR14L/ApQnWLdwMLkmwW\nznL7ZhHZ7NyuBv5HRLaKyBbgTcBnMxg6kCgroPt9NHWOT4sNhFJxR4p19T76dz5TV8rHmvI5cvJf\nk15eaRxxO54v06056dy9m9bm7cdGpm2P1+LqZZ19fg41Zy/uZF0EI38NF2cyEGOiLawq4f9uvpBb\nH9/Nj589wPqaFr5//SpOnVmW7dCMMZPDhap6lohsUdWviMitwCOJNkiQ5Tajc16lIjxov7l7ZLr0\naDVRBZBMFhWjsxjGmg8pWqZ6to3IpobGnfMolsYU1jWp2RajgJ8NqoC4SGPvYl8Pb01t7E9kl7xM\nfQfyfEKsHrX7EkzAHFZVWkCTx78DT+9uzOrcWclasDTOfWPGRX5uDl+4+nTu/shaWrr9vP0Hz/PD\np/ZZc7UxJh3CzRA9IjIb8AMTvj/yFicT12iurGfyanySTOgxPbgltTEmbsUqtNZ6pFXqqXhJF04S\nXmkdrGvvddV65OY7k2qZJfJzn6mMfZGTL6cqOmmKF2V7YuJkFayzRaRDRDqBs5z7HSLSKSLuRrUa\nkwaXLKvm0c9czJtOnc43HtvNtd9/nk2H0z8viTHmpPKgiFQA3wA2ATXAfVmNKCXpHzH1ysEWMnU9\nNRspvePJxDw+6dLR6/dUl/ixTGQ8kR1t7XU5EXNm4/BiQolYk4lPFON1PBNWsFTVp6rlqlqmqrnO\n/fDf5Ym2NSbdqkoLuP0Dq7nzhjW09/p5120v8o+/fZ0jLrqZGGNMNFX9d1VtU9XfERp7dZqqfjnb\ncWWTPxAckfhiMuqLGv/VOI5j0dzYeMg7FxBP5h4jde3JE0t4uK6eUFf/yVlxHq/3y+08WMZ4xuXL\nZ/Dnv38jN75hEQ+8fow33/o0X75/G8fTkmHHGDPZici5IjIz4u8bgN8A/y4ildmLLDWZmhx3z/HO\nzOzYQ7x+Bd7r41tOFm66K2aqC1+mZeM7cMHiaTGXj2Z6iNEarykLrIJlJqTSglz+5ZrlPP2Pl/LX\nq+dx3yuHuejrf+ETv9jEC/uaPN39wxiTdT8GBgBE5BLgv4G7gXacOapMfGfNrch2CMZ4xnh24dt6\n1BsJQEYtTj1q/KpX4zc2y+1Ew8Z40uyKIv7rnSu4+Y2LufulQ/xu01Ee2lrH/MpirjxzJpedNp3V\nC6aS67NrCcaYIT5VbXHuvxe4w+km+DsR2ZzFuFIynoWSSOWF2S06TC8rpKHTeiyYk8+BpvGZz2y8\n5YiMW8VnvOrDVuo0k8KCaSX86zXLefkLl/Hd61ayYFoxP3vhIO+942VW/8cT3HzPRu589gAbD7XS\nP3hy9js2xgzxiUi4lnAZ8JeIx+zCYxIiwlvPmJl8xQxZOqM0a89t3CkfQ4a68bR0uk374kamv+/l\nReP3szteXTrtRGImlcI8H+tWzmHdyjl09vl5bm8TT+5sYH1NC49urwdCqd/PmjOFNQsrOX9xJWsW\nVlJaYF8FY04ivwSeEZEmQqnanwMQkVMIdROcEEY7buG0meXsqh99IuBAUCnM8416+7GaVpLvar08\nX07MBA2+HBm3cRgnq+g5z7xq1pRC9jZMjjGHV545k0e31Wdk32l7O+N87WZXFNHiYt6+dLAugsaM\nUVlhHlevmMXVK0LT2jR09rHpUCsbD7Wy4VArP3nuALc/sx9fjnDmnCmcv6iSS5ZVs3ZRJXnWpdCY\nSUtV/1NEniQ059XjemIQRQ7wqexFlpreUabPHuvV4vG82hyLm4rlWXMraOsZiDmZsU+EQJpS0c+v\nLHY1YfLJJnLOs6tXzOKpXQ2eStMfljOaydnG2aKqEg42dSddryA3cxc9JMMdkgddZi49a27F0Dx/\no6XjlBTTSpHmpDG9rJArz5zFl962nD98/A1sueUK7r3xPD72xiXk+4S7XjjI+37yCqv//c989teb\neXhrHd39g9kO2xiTAar6sqr+QVW7I5btUdVN2YwrFbF+n06dmb4uT5cumz5i2VlzK0YU5E6Z7r0u\ne4uqSuI+ls5C9cp57hN+TC8rjLn84qXVlOSPrdJ60SlVo962othdi2BZYS7LZoQ+X0uqS1m7KH7C\nzcgWrExfsLxkaTWLq0p502nTU+6aKOL+9cdS6bI1dSxSqdxceWaoK9/M8tiftVHHkMb61emzykfd\n+j69rGDMz29dBI3JsOL8XC5aWsVFS0Mnpp6BQZ7f28TjO47z5M7j/OG1WvJzc7jolCquWD6Dy06f\nQXUavtzGGJMtBbk+V4O8504tZkrx8MLqshllMSsuo726ffHSap7b2xj38bEOfK8ozh9z69LU4nxa\nE6SzFhHecEoVL+xrSrqvVQsqRnThyvPlpKWQPq00/rnpolOqeD5BfMX5PtpcHKa1i6YNTYeimrjF\nZLzahS47fQalBblMdY7hJUureXDLsRHrlRbksnrBVF7c3zys22iOyKizDq+aP5Wa5uQtS24smFbC\noTj7SqUuUpDr48ozZ5Lvy+GB10ceBwh1ES4p8I16rrXywjw6+vwJY4g31r24IJfp5YXMKC/k6d0N\nQ8uLnC7HybrvRlbcR9vVtzh/fLo3WwuWMY7i/FyuOGMm33z32az/0lv49U3n84HzF7C3oZPP/34r\na7/2BO+67UV+/Mx+dtd3Wip4Y0xWha/Erpo/lYLc+KdzX0SLzZtPG9kqFUuui1aeK5bPpCjPx4Jp\nxbxxWfWIx6sSFPohdPX/jNnlcR+/9uzZI1LCz6koAkKvY83CSmZNKWK2syzaoqqShK0nC6bFb+UK\nO3dh8mnRkr3OsMgKydnO6wpXIE+bdaLlcaZTAHXbGjN3anHCx6eVFrCkOn4ro5vy+7SSAkoLcocK\nuEFVKkvyOWfeVODEawu30kW3UCyMqpifu7CS1QumunhmEo6R9kU9T7zXUpTno6I4f8SYPEm0URzz\nK4u59qzZzKtMfNzDoo/91StmjUgasXJexVAlI1qZk7Uz1uc1ViW3INeHiLBizpShZbOmFA1dIM4R\nyHfRqnjVmbOG7guhivrS6WVcEuO7Hm6BrSzJH3q/fDF+Q4bey6ji07zKIlbNnzrUQjonznc68u0O\nP+dZcytYPqt86Fgk+s6vmj913MaPWgXLmBhyfTmct3ga/3rNcp79pzfx6Gcu5rNvWUb/YID/emQX\nb/3Os6z+jz9z090buPPZAzy7p5GGjr5xnQ/DGHNyC//eTCnOG1GAjVSc7xsq+MarOL3l9BmsWzmH\nGU7XoliFo2hF+T6uOGMmJQW5lBeOrAzk+XKStvqfMr2MC5bEnnwURnb1W+NUeMoK85hTUcTaRZUJ\nK0FvXFY9VJhcvWAqlyytHipPTy0eGXN0Yb4o38dFp1Rx8dLqlApmVyyfGbPS+6bTpnP23IqhSmH4\nCnxkJWntokrOXzyN8xdNY8WcKVy9YhYXnVLF4qqRlaSiPN9QRSVRRe/MiMJ2WPgzUVGcx+Kq0piV\n5LBwK1thXug1DTpxz59WzLqVc4aOW7gyEN3qsmxGGXOnnig0z64oYu7UYpZUlybtLpbnyxl636Pl\nRB3i0fQ8O3dh5YjW2chug9EV+NNnlQ91M43VehvZtXZORRGnzzpxEaG8KI88Xw6FeT7ecvqMqNhH\n7uutZ8xkwbQSVs2fypmzy4cquKfNLOfqFbN4y+nxL5hMcSroZYW5rF1UOfQ3uPt+5+fmDFtvWmkB\ny2eXDxtfN9U5TuHQ83w5DAaDw54/Fo2qYYkI8yqLh56vIDeUsCyWS5eFpt9ZMXcKM8sLWTitmKUz\nylhcHXr/Lj01/ue4ZBwTmlkXQWOSEBFOm1nOaTPL+fRlS6lt6+XFfU28crCFVw428/iO40PrTikK\nnfRnTSlkxpRCZpWH/q8uK6CqpICqsnwqS/IzOhjVGHNyCF+Mj76KH21+ZTELp5XQ4w+QkyNUxKhY\nhFtSegZC47rCBeZzF1ayviY0ZViiAnxOjnDBkmm8tL+ZJdWl5OfmsGBaMT4RHtpaN2L9cMsHQLXT\nwjJ3ahHP7InfZTCZ8qI8OnqHd10qKcjlqhWzhi3L9Qn4Yxcy37isekS84e53VyyfwYZDrRxr6x2x\n3fmLp3G0tYeK4nxK8nMpyvfxxmXT6ejz89rhNsKX7MsL8ygvzIvZA+LSZdOp7+gbKmgX5ftY7LR+\nTCstYFppAfMqi8jz5bCrvoOjrcPjqCotoKmrf1j2xERj0c5fXMnR1l7mTi2KW8kJVW6mUu0cg5nl\nhSypLh3RKrN0RinNB/qHKlhuswieOWcKpQW5vH60LW43OV+OUOJ061oxZwozygt5clcDqjrieUSE\nVfOnsrW2ndKC0JixVw42j2ilWr1gKhsPtZKfm0OeL2eoElRZkk93f4BTZ5axrbad/Y1dFEadr2O1\nkERm5ozsWrtyXsWwz1nkWLmSglyWTi8bes1rF1ayr7GLo60n+muGK/Xh1rLwGKvIGGZXFMUccxWu\nTIRbvsJxBBXXc4NOLc6nqat/2Ocj8v7FS6vYWdfJ4uoSjrT0MK+yeKi77Jmzp9DR52fzkZFJKcLx\nlxbkct7iExdYwhdDoivOJ547dHzDxzjyN2np9FIWTishPzfU7TZWVsLxTGliFSxjUjSnooh3r5nH\nu9fMA6C5q589x7vYc7yTPcc7qWvvo669j9eOtMVNO1pemEtVRKWrqrSAqtICZlcUMW9qEfMqi5lR\nXujqKpMx5uR0yvRSdtV3kOfLYUl1KT0DAZZUl9LW46exs5+rV8xCOJHUodwpvBTn57Ju5RwCQeVg\nUxe5OTmUOS1QlSUFdPYNDl21n11RxLqVc+gfDCS9MDS9rJBzF1Yys7wwZiKJVfOnUlaYiypDY2Yg\nVGCLbmGJbO0oLcilq38wYUKJa86ajQB/ijH+JlpnX6gSORgIpZvvc7LbzZpSRK4vh6vOnMXR1p6h\nq/ORcUYXtsNmON36IhXl+yjK93H58hkjejfEOj6RBcd4wi0rq+ZPxR9QlkYkGAm3yJUU5NLWM8Cy\nGWXDWk8iLZtRNtRqEOkNp1TR0euntDCXl/Y3A8OTc8R6ryD0+tetnEO7U8GtLiugrr13WEVg2Ywy\nOvsGuXDJ8IQcc6cW0doz4HTzyqGle4Cmrn5mTSkiqMry2eWUF+bxltNnDFUaZpQVUN/RF7MiN6+y\neOh1qSpLqktHJGKZO7U4ZtfKyGWnzyqnsiQfX45woKmL6WWFI1pbwy0xVaX5XLy0msGoLojRFZno\nytny2eUsd7rJTinOY/WCqSyqKok7NjFW5S5eC25hno9rzpo9VI4IX4gJBJU834njdumy6Ty9JzQe\nKnyRItyFde2iSjp6/XHLIiIyFP9Sp3vfqvlT2VnXQVlhaGxcdVkBf95xfFglsKQgl0uXTaesMHfY\nd2Hu1CL6B4NDFwaWzypnV30nbzptOo2d/YnH/YmQnytDcT+6rZ4Vc6awuLqUPn+Awy09w353Ms0q\nWMaM0bTSAi4oLYjZzaXPH6Cho5+m7n6aOvtp7h6gqbOfpq5+mpz7e4538eL+Ztp6hl95zfMJc5xu\nFPMqi5kfdUt2IjbGTG6nzixjSXXJUCFu1fxQq9D5i6ehqkm7XvlyhFOiJlo9a84UTptZRn5U9za3\nre7xxkMBrsesQKhFIKw4P1TBijdGBdx1eYrc9676DorzfSyqKmFnXQdvPWPm0NXz/NycoZajaJGH\nNFEXqJGxjYxvdkX88WPJiAjnLx5+zpleXshbz5jJ0dZe2noG4rY4xut6BQxd7FNV8n05MStTiUwp\nyuOtZ8ykMM/H/Kj3u6wwj0tPHdmlLdeXwznOZ/f0WeUEgsprh1s5Y/YUiiISEkR271q9YCo9/kDS\n9z26QnjB4mkJEzRE8uUIsyuKaOgMJ/YY2epYURRqKcnLzYnZTTbs3IWVCT+/kSpL8sn35Ywpu2FY\n5PGZVVHEjroO5kwtoiDXR2lBLvOcssQ1Z82me2CQfF8Oe493DX1X83w5cROoLIwzhnFqST4XRrTU\nFefncu1Zs0d034xVhhGRYZXhpTPKhipuqcxXGt3FsDDPNzS+a7zIZBozsmbNGt2wYUO2wzBmVAYG\ngxxr6+VIaw9HWsL/93C0tZcjLT00R7WGlRfmMn9aMTPLQ4NXq0vzQ61ipQVUluRTUZzHlKI8Kory\nKczLGXVaVGMyRUQ2quqabMeRLSfLOauzz0+vPxA3TXmkYFARGd4NqWdgkN31nZw9tyJpivXu/kH8\ngWDSwmmfPzCqwe57jneys66D+ZXFnDF7yoiKqBcEgkpnn3/EMWjpHmBgMMjMKelN4T3Z9Q4EeHzH\nidaQSP2DAdp7/EyPar28f3Mt1WUFI1rrzMTn9rxlLVjGeER+bg4Lq0riDlbv7h/kSGsPh5t7ONxy\n4na0tYfNR1pp6R4gXmLD/NwcKoryqCgOVbjKh+6H/p9SnO9UxvKoLAl1WZxWmm8TLhtjxqysMG+o\nC2IysSpQxfm5Qy0cybgdxD7aTGJLqksJBJVlM8o824XblyMxK5jjMWfTZFSU7+NtK2bFHLdUkOtj\nevnIz9LVK2YlHRtpJreMVrBE5Ergu4AP+Imq/nfU4+I8fjXQA3woPMljsm2NOdmUFOQOJduIJRDU\nob7rrd0DtPX6aevx097rp613gPae0N9tvQMcbe1hxzE/bb1+egZiz1cBoexSoS4jJ8aJVZXmU1aY\nR2lBLqWFuZQV5lJWkEdpYS4lBT6K8kI3t4NojZlM7Nw1uflyJO64JjN5pXo+s4uTJmMVLBHxAT8E\nLgeOAutF5AFV3RGx2lXAUud2HnAbcJ7LbY0xEXw5EuoqmOJkyP2DAdp7/aEKWK+f5q5QJS38f/i2\n/VgHTZ39dPYPutpvnk9Cla18p9KVn0tRXs7Iv/N8FOb7KM7LpSg/J+IxH0X5oXS2xeG/83wU5ucM\n/e3VK8jm5GTnLmOMMZDZFqy1wD5VPQAgIr8C1gGRJ5p1wN0aGgj2sohUiMgsYKGLbY0xaVCQ62N6\nmc/V+AgIVci6+wN09vnp7Bukq3+QrvD//YP0+QP0DgTocf7v8wfo9QfoCd8fCNDa7R+2vNcfYGAw\nmNigtrkAACAASURBVPzJo+T7cijMcypc+T4K83wU5uWQI6HZSUSceUpC/4b+Do3xAFXn5mSCCt0H\nnGXhv8NjVXXYOidm8gjtW/DlCDkSSlGc4/wtgrM8fDvxd7zHQvsiYrmciNeJCyeuEzFFLHeWEX4N\nI15PeL3QgqAqg0FlMOD8Hww690P/+4NKYGiZMhgI4g8on77sFN577vyU37dJzM15zxhjzCSXyQrW\nHOBIxN9HCbVSJVtnjsttARCRm4CbgCqgS0R2jy3sjKoCmrIdhAsTIU6LMT0sxvQ4KWN8EbhubLtY\nkJZAvCPpuSvinAXpOWdNhM9eLBb3+JuosVvc48viTszVeWvCJ7lQ1TuAO0Rkg6ouzHY8iTgxej5j\n1kSI02JMD4sxPSxG41b4nJWu/U3U99XiHn8TNXaLe3xZ3OmRyQpWLTAv4u+5zjI36+S52NYYY4zx\nEjfnPWOMMZNcJtOcrAeWisgiEckn1JPkgah1HgBukJDzgXZVrXO5rTHGGOMldu4yxhiTuRYsVR0U\nkU8CjxFKV3uXqm4XkZudx28HHiaUon0foTTtH060bZKnTFuXiwyaCDHCxIjTYkwPizE9LEYz2nPX\nWE3U99XiHn8TNXaLe3xZ3Gkg4exYxhhjjDHGGGPGxmZCM8YYY4wxxpg0sQqWMcYYY4wxxqTJpKhg\niciVIrJbRPaJyOezHQ+AiNwlIg0isi1iWaWI/FlE9jr/T81yjPNE5CkR2SEi20Xk/3ktThEpFJFX\nReR1J8aveC3GiFh9IvKaiDzoxRhFpEZEtorIZhHZ4NEYK0Tk/0Rkl4jsFJELPBjjqc4xDN86ROQz\nHozzs853ZpuI/NL5LnkqRjN6XjzvhSU4t9wiIrUR352rI7b5gvNadovIW7MXfeq/lV6IPcHvkueO\nearlo3hxishq533aJyLfExHJQtzfcM5XW0TkDyJS4SxfKCK9Ecf99mzFnSD2lD8bHjnmv46IuUZE\nNjvLPXXMUdUJfSM0kHg/sBjIB14HlnsgrkuAVcC2iGX/A3zeuf954OtZjnEWsMq5XwbsAZZ7KU5A\ngFLnfh7wCnC+l2KMiPXvgfuABz36ftcAVVHLvBbjz4G/de7nAxVeizEqXh9QT2jiQc/ESWjC24NA\nkfP3b4APeSlGu43p/fXkeS8ivnjnlluAf4yx/nLnNRQAi5zX5sti/K5/K70We8TnI/y75LljTgrl\no0RxAq8SKg8I8AhwVRbivgLIde5/PSLuhZHrRe1nXONOEHvKnw0vHPOox28FvuzFYz4ZWrDWAvtU\n9YCqDgC/AtZlOSZU9VmgJWrxOkIFSJz//2pcg4qiqnWqusm53wnsJFQw80ycGtLl/Jnn3BQPxQgg\nInOBtwE/iVjsqRjj8EyMIjKF0I/pTwFUdUBV2/BQjDFcBuxX1UN4L85coEhEcoFi4Bjei9GMjifP\ne2EJzi3xrAN+par9qnqQUGbhtZmPNCXxvjtejD3ydymerMWdYvkoZpwiMgsoV9WXNVSCvpsM/57F\niltVH1fVQefPlwnNfRdXNuKGuMc8Hk8f8zCnFeo9wC8T7SNbx3wyVLDmAEci/j5K4h/ybJqhoXm+\nIHR1aUY2g4kkIguBcwi1EHkqTgl1vdsMNAB/VlXPxQh8B/gcEIxY5rUYFXhCRDaKyE3OMi/FuAho\nBH4moa6WPxGRErwVY7TrOPHj7pk4VbUW+CZwGKgjNMfg43goRjMmE+a8F3VuAfiU053qrohuYF57\nPan8Vnotdhj+uwQT45inenznOPejl2fTRwi1joQtcrqqPSMiFzvLvBZ3Kp8Nr8V+MXBcVfdGLPPM\nMZ8MFawJyalFeyJHvoiUAr8DPqOqHZGPeSFOVQ2o6kpCV4bWisiZUY9nNUYRuQZoUNWN8dbJdoyO\ni5zjeBXwCRG5JPJBD8SYS6grwG2qeg7QTairyBAPxDhEQhPJvh34bfRj2Y7TOVGuI1RpnQ2UiMj7\nI9fJdoxm8otxbrmNULfGlYQq/rdmMbxEvP5bGVeM36WJcsyHePn4xiMiXwIGgV84i+qA+c7n6O+B\n+0SkPFvxxTHhPhtRrmf4hQRPHfPJUMGqBeZF/D3XWeZFx52mynCTZUOW40FE8gidAH+hqr93Fnsu\nTgCnu9hTwJV4K8Y3AG8XkRpCXXXeLCL34q0Yw60aqGoD8AdC3UG8FONR4KjTQgnwf4QqXF6KMdJV\nwCZVPe787aU43wIcVNVGVfUDvwcu9FiMZvQ8f96LdW5R1ePOBbMgcCcnuqR56vWk+FvpqdiJ+l2a\nKMec1I9vLcO742UtfhH5EHAN8D6ncojTva7Zub+R0DimZXgo7lF8NjwTu9P1/Z3Ar8PLvHbMJ0MF\naz2wVEQWOVdurgMeyHJM8TwAfNC5/0Hg/izGEu6/+lNgp6p+K+Ihz8QpItVyIitPEXA5sAsPxaiq\nX1DVuaq6kNDn7y+q+n48FKOIlIhIWfg+oYG52/BQjKpaDxwRkVOdRZcBO/BQjFGir555Kc7DwPki\nUux8zy8jNA7GSzGa0fP0eS/euSVcgHa8g9BvEIRiv05ECkRkEbCU0KD0cTeK30rPxO4Y9rs0EY55\nRDyuj6/TnbBDRM53Pm83kIXfMxG5ktDwgLerak/E8moR8Tn3FztxH/BK3E5cKX02vBQ7oYuIu1R1\nqOuf5465ZjiLxnjcgKsJZSnaD3wp2/E4Mf2SUHOln9CV+RuBacCTwF7gCaAyyzFeRKgZfguw2bld\n7aU4gbOA15wYt3EiW4xnYoyK91JOZBH0TIyEugG87ty2h78nXorRiWclsMF5v/8ITPVajE6cJUAz\nMCVimafiBL5C6GLENuAeQhmhPBWj3cb0/nruvBcRW7xzyz3AVmf5A8CsiG2+5LyW3YxDhq8Esaf8\nW+mh2GP9LnnumJNi+ShenMAa5/dtP/ADQLIQ9z5C45XCn/PbnXXf5Xx+NgObgGuzFXeC2FP+bHjh\nmDvL/xe4OWpdTx1zcZ7YGGOMMcYYY8wYTYYugsYYY4wxxhjjCVbBMsYYY4wxxpg0sQqWMcYYY4wx\nxqSJVbCMMcYYY4wxJk2sgmWMMcYYY4wxaWIVLGOMMcYYY4xJE6tgGWOMMcYYY0yaWAXLGGOMMcYY\nY9LEKljGGGOMMcYYkyZWwTLGGGOMMcaYNLEKljHGGGOMMcakiVWwjDHGGGOMMSZNrIJlTBaIyBdF\n5CfZjsMYY4xxw85bxrgnqprtGIwxxhhjjDFmUrAWLGOMMcYYY4xJE6tgGZNhIvLPIlIrIp0isltE\nLhORW0Tk3oh1bhCRQyLSLCL/KiI1IvIW57FbROS3InKvs4+tIrJMRL4gIg0ickRErojY14dFZKez\n7gER+btsvG5jjDETk523jBkbq2AZk0EicirwSeBcVS0D3grURK2zHPgR8D5gFjAFmBO1q2uBe4Cp\nwGvAY4S+v3OArwI/jli3AbgGKAc+DHxbRFal83UZY4yZnOy8ZczYWQXLmMwKAAXAchHJU9UaVd0f\ntc5fA39S1edVdQD4MhA9OPI5VX1MVQeB3wLVwH+rqh/4FbBQRCoAVPUhVd2v/5+98w6Po7z2//ds\n06r3YkmWbbnK3cY2tsE023RwckO/CZCQOIUUfglJCOEmpN1AGoGEErgJkARCTTDFVINNNy64yU0u\nsi1Zvfdt5/fHzKxmR7N9tsh6P8+jR7uzU96Znd095z3nfI/EJgBvAFgRu1MUCAQCwSmE+N0SCKJE\nOFgCQQxh5kMAbgFwJ4BmInqKiEo1q5UCOKHaph9Am2adJtXjAQCtzOxWPQeADAAgoouI6GMiaiei\nTgAXAygw4nwEAoFAcGojfrcEgugRDpZAEGOY+UlmPhPABEgzfHdrVmkAUK48IaJUAPmRHIuIUgA8\nD+B3AIqZOQfAegAUyf4EAoFAMPYQv1sCQXQIB0sgiCFENJ2IzpN/QAYhzdp5NKs9B+AyIlpORDZI\ns4aR/rDYIKV2tABwEdFFAM4PvIlAIBAIBBLid0sgiB7hYAkEsSUFwF0AWgE0AigC8CP1CsxcDeBb\nkHLSGwD0Qir4HQr3YMzcA+DbAJ4B0AHgOgAvRj58gUAgEIwxxO+WQBAlotGwQJBkEFEGgE4AU5n5\naKLHIxAIBAJBIMTvlkDgi4hgCQRJABFdRkRpRJQOKQ99NzSyuAKBQCAQJAvid0sg8I9wsASC5GAN\ngJPy31QA17AILwsEAoEgeRG/WwKBH0SKoEAgEAgEAoFAIBAYhIhgCQQCgUAgEAgEAoFBWBI9ACMp\nKCjgiRMnJnoYAoFAIAiBbdu2tTJzYaLHkSjEb5ZAIBCMLkL93Uq4g0VEdgDvQpIFtQB4jpl/SkR5\nAJ4GMBFS0eRVzNwRaF8TJ07E1q1bYztggUAgEBgCER1L9BgSifjNEggEgtFFqL9byZAiOATgPGae\nB2A+gAuJaCmA2wBsYOapADbIzwUCgUAgEAgEAoEgaUl4BEtWnOmVn1rlP4akTnOOvPxxABsB/DDO\nwxOMEdweRlP3INr7HOgZdIEISLWaUZxlR1FmCkymSBvUCwQCgWAs09A1gJIsO4jE74hAMFZIuIMF\nAERkBrANwBQA9zPzZiIqZuYGeZVGAMV+tl0LYC0AVFRUxGO4glMAt4expbYdG/Y14ZOj7djX0AOH\n26O7bqbdgnnlOVhQkYNFE/OwrDIfNksyBH8FAoFAkMycaO/H9uMdmFOWjcrCjEQPRyAQxImkcLCY\n2Q1gPhHlAPgPEc3WvM5EpKsnz8wPA3gYABYtWiQ05wUBaewaxBObj+HpLSfQ3DMEm8WE+eNz8MUz\nJqIiPw1FmXakp5gBAH1DbjR2D2JfQzd2HO/EAxsPw+05hMwUCy6aU4JrllRgwfgcMSspEAgEAl2G\nXNLEXb/DneCRCASCeJIUDpYCM3cS0TsALgTQRETjmLmBiMYBaE7w8ASjmJaeIdzz1kE8t7UOTo8H\n500vwn8tLMc50wuRnhLax6Df4cLHR9qwfncjXt7VgGe21uG0Cbn45nlTcM60QuFoCQQCgUAgEAgS\n72ARUSEAp+xcpQJYDeBuAC8CuAHAXfL/dYkbpWC04vEwnvzkOO5+bT8GnW5cuWg8vn72ZIzPSwt7\nX2k2C86bUYzzZhTjzstn4fltdXj43SP44qNbsKwyHz+5bCaqxmXF4CwEAoFAMBpR5t1Y5NcIBGOK\nhDtYAMYBeFyuwzIBeIaZXyaijwA8Q0Q3ATgG4KpEDlIwzIDDjY+OtGJXXRfqOwbQ53AhxWJGbpoN\n04ozMLc8BzNKMhMuDLGnvgs/fmEPdp7oxLLKfPziM7MxpciYHPiMFAtuWD4R151egX99chz3vHkQ\nl/7pfaw9qxLfWTkVdqvZkOMIBAKBYPQi8hoEgrFJwh0sZt4FYIHO8jYAK+M/IoE/DjX34MGNR/Dq\nngb0O9wgAorlmiWH24PWHgcGnFKeeX66DRfOLsE1iyswuywrrulzvUMu/OGNg3jsw6PIS7fhj1fP\nx5r5pTEZg9VswvXLJuLyeaX43/X78ODGw3hnfzP+fN0CTCnKNPx4AoFAIBh9MEQISyAYSyTcwRIk\nP539DvzqlX14bnsdUq1mXD6vFJfOLcX8ihxkqOqXPB7GiY5+bK3twMaDLXhuWx2e2HwcM8dl4brT\nK/C5heVItcUussPMeHVPI372UjWae4Zw3ZIK/OCCGchOs8bsmAo5aTb85op5uGj2ONz67E5c9qcP\ncN+1C7B6pq74pUAgEAjGAMrEnkgRFAjGFsLBEgTkg0OtuOXpHWjvc+ArKyrxtbMnIy/dpruuyUSY\nkJ+OCfnp+Nxp5egacOLFnSfx1CfHcccLe/CHNw/iC0sn4PplE5CfkWLoOI+19eGnL1Zj44EWzByX\nhYc+fxoWVOQaeoxQOHdGEdZ/ZwXW/n0r1v5jK358cRVuOnOSEMAQCASCMYjyzS/8K0Gs2XykDcVZ\ndkwsSE/0UAQQDpYgAI9/WIufv7wXlQXpePTGxZhdlh3W9tmpVnxh6QR8/vQKbKntwMPvHsa9G2rw\n0KbDuOK0cnxlRWXUXwRdA078+e0aPPZhLWxmE35y6Uxcv2wCLObE9akqzrLjqbXL8N1nduCXr+zD\nkdY+/PzyWQkdk0AgEAjij5hbE8SLxu5BNHYPCgcrSRAOlmAEzIw/vlWDezfUYFVVMf54zXyfVMBw\nISIsmZSHJZPycKi5B4+8exTPbq3Dk58cxwUzS7D27EosDDPaNOBw46ktx3Hfhhp0Djhx5Wnl+N75\n01GcZY94nEaSajPj/usW4rdvHMCDGw+jZ9CFe66aJ5wsgUAgGEOQHMPyiBxBgWBMIRwswQjueasG\n922owRWnlePuz82F2UA1wClFmbj7irn43vnT8NiHtfjnx8fwWnUjTpuQi88uKMPqmcV+nSRmRvXJ\nbqzbUY9nt9Whs9+JZZX5uOPSKswqDS+6Fg9MJsIPL5yBnFQrfv3qflhMhN9dOc/Q6ykQCATh4PEw\nPMxisidOKBGsE+39YU8kCgSC0YtwsAQ+/PPjY7hvQw2uWlSOu/5rbsyk1ouy7PjBhTNw87lT8PSW\nE/jnx8dwxwt7cMcLe1Cem4ppxZkozbHDajZh0OlGfecgdtd1oqPfCYuJsLKqCF9eUYlFE3KTvr7p\nq2dPhtPtwe/eOAiLiXD352J3XQWCsYbcP7GCmQ8keiyjgXdrWtA14MSa+WWJHsqYQEyoCQRjE+Fg\nCbxsPNCMn6zbg/NmFOF/PzsnLk5AeooFXzpzEr54xkTsb+zBB4da8emJThxt6cOnxzvgcjNSrCYU\nZ9mxqqoYiyflYXVVMXL9CG0kK988byqcbsa9G2qQajPjZ5fPSnrHUCBIdojoMgC/A2ADMImI5gP4\nOTNfntiRJS9dA04AQF1HPywmE0qykyOt+lRFSQxMtwlzSyAYS4hPvAAAcLytH9/+16eYXpKFP127\nIO7pI0SEqnFZqBqXFdfjxpNbVk1Fv8OFR947ion56fjSmZMSPSSBYLRzJ4AlADYCADPvICLxwfKD\nxzNcB7TtWAcAjOpIVme/A/0ON0pzUhM9FL+wXHslarAEsYTF/ZV0iCRsAQadbnz9iW0AgIc+vxDp\nUQhaCPxDRPjRRVW4cFYJfvHKXry1tynRQxIIRjtOZu7SLAtqaRDRhUR0gIgOEdFtOq/PIKKPiGiI\niG4NZVsiyiOiN4moRv6fdAU3p5oJtulgC7bUtqO9z4FjbX2JHk5APKfaxRckHGbG1tp21HX0iz5r\nSYhwsAT47esHUH2yG3+4aj4m5At5z1hiMhHuuXo+5pRl49tPfYo99VrbUCAQhEE1EV0HwExEU4no\nTwA+DLQBEZkB3A/gIgAzAVxLRDM1q7UD+Dak9MNQt70NwAZmngpgg/w8qThVoyjv1bRgx4nORA9D\nF+WSiwiDwGgcbg/qOwewq67L57PtEd58UiAcrDHO+zWt+Ov7R/GFpROwamZxooczJki1mfF/1y9C\ndqoVX358K1p7hxI9JIFgtPItALMADAH4F4BuALcE2WYJgEPMfISZHQCeArBGvQIzNzPzFgDOMLZd\nA+Bx+fHjAD4T2SnFjlPVwRoNCJvXOJxuT6KHkBR45MvgdHt8otPJeqvVdw7gpZ0n4R4jHwbhYI1h\n+oZc+OHzuzC5MB23X1yV6OGMKYqy7Pi/Gxaho9+Bbz35KVziB0MgCBtm7mfmHzPzYmZeJD8eDLJZ\nGYATqud18rJQCLRtMTM3yI8bAejOWBHRWiLaSkRbW1paQjysMWyr7Yjr8QSqCFbSmr2ji/rOAazf\n3YCufu3cx9jD5Rm2G3wiWEk6kbKnXoq0OVxjw94RDtYY5o9vHUR95wDu/txcpNrMiR7OmGNWaTZ+\n9dk5+OhIG373xsFED0cgGHUQ0TtE9Lb2L9HjYikfTNfKYeaHZWdwUWFhYVzH1SKi5XFHcayS1OYd\ndbTJ93Brn7iXVf6Vz/2VrA7WWEuTFWoGY5Tqk1342we1uHbJeCyamJfo4YxZrjitHNuOdeChTYex\noCIHF8wqSfSQBILRhFqAwg7gcwBcQbapBzBe9bxcXhYKgbZtIqJxzNxAROMANIe4T4FAECI2ixQX\n2FPfhcmFGQkeTWJRR7CGVFGhZPVjlEQdNzM27GtC75ALK6uK0dozhLwMG7Ls1sQO0GAMjWAR0Rwj\n9yeIDW4P4/b/7EFumhU/vHBGoocz5vnpZTMxtzwbtz6zE0dbk1sJSyBIJph5m+rvA2b+LoBzgmy2\nBcBUIppERDYA1wB4McRDBtr2RQA3yI9vALAunHOJNWNt9jhZGE4RFBiBRTRu9qIuZTrU3ON9nKwf\ndSWa6/YweoekebAN+5qws64T7+w/9eajjE4RfICIPiGibxBRtsH7FhjEE5uPYeeJTvzPpTORkza6\nGvaeititZjzw3wthNhNufmI7Bp3uRA9JIBgVyNLoyl8BEV0AIOBvDzO7AHwTwOsA9gF4hpmriehr\nRPQ1eb8lRFQH4LsA7iCiOiLK8retvOu7AKwmohoAq+TnSUOnn5oVZsaRll40dA3EeUTGk4zqack3\notGNiYSDpaCu66vrGP78JmuKIEF67zYeOPWcKT0MTRFk5hVENBXAlwBsI6JPADzKzG8aeRxB5LT2\nDuG3rx3AiqkFuHxeaaKHI5Apz03DH66ahy89thU/f3kv/vezIhgsEITANkg2LEFKDTwK4KZgGzHz\negDrNcseUj1uhJT+F9K28vI2ACvDGHtc8WeXdg+4sFtuFzGamw4DkmFpQnIZ4ErkUEQQjUFcxWH8\n3VJJ62Al10cz5hheg8XMNUR0B4CtAO4DsICICMDtzPxvo48nCI8/bahBv9ONOy+fBRprd3uSc96M\nYnzt7Ml4aNNhnD4pb9QbOwJBrGHmSYkew2jB3/d9Q/foj1wpqANYNU09aOkZwvIpBYkbEIRDYDRK\nlDLVKoS51I4UEXmd+CQM5IaEy+2BxXzqaO8Z6mAR0VwAXwRwCYA3AVzGzNuJqBTARwCEg5VAalv7\n8MTm47hm8fgxXxyarNx6/jRsP9aBH/17N2aVZmNKkXifBAItRPRfgV4Xk3k6+DG6knSyOyI6BxzI\nTrUixWLG3obuRA8HgG/kqqvfiey0U6uQP96MVuchFvi9Fkl6jYJN6Tf1DKEsJzUuY4kHRruKfwKw\nHcA8Zr6ZmbcDADOfBHCHwccShMlv3zgAm8WE76yamuihCPxgMZtw37ULkGo14+YntmPAIeqxBAId\nLgvwd2kCx5W0JGvakJF8dLgN7+yPb2+xYKiN4KNtfegaEP2bosEzyqM0RqKuOeRR0AdrrGF0iuAl\nAAaY2Q0ARGQCYJebQf7D4GMJwmDniU68sqsB3145FUWZ9kQPRxCAkmw77rl6Pm549BP8ZN0e/PbK\neYkekkCQVDDzFxM9htGGP6NrNNtiKRYT0lMsaO9zeJcNuZJrUkp93Y+19eFYW59I/46CYQdrFN+4\nBiFqsJIboyNYbwFQx/fS5GV+IaLxcrPIvURUTUTfkZfnEdGbRFQj/881eKxjBmbGr1/dh/x0G9ae\nVZno4QhC4KxphfjWuVPw7LY6PLv1RKKHIxAkLUR0CRH9gIh+ovwlekzJyEAY6qTMDPcoCBF4GLAl\nec1Gktq6oxbleo6G+zPWsJ9cwOS9NIE9LIeql9epgNHfTHZm7lWeyI/TgmzjAvA9Zp4JYCmAm4lo\nJoDbAGxg5qkANsjPBRGw8UALPj7Sjm+vnIqMFNFberTwnVXTsKwyH/+zbg8ONPYE30AgGGMQ0UMA\nrgbwLUi/3lcCmJDQQSUhrb1D2HasI+T1PzrShpd3nQQAON2epG0d4WGGxTzSaFOnSyXaEE/WaMJo\nRUSwhvF3a/tzvJKdXXWdiR6CoRjtYPUR0ULlCRGdBiCgRBEzN6hqtXog9RYpA7AGwOPyao8D+IzB\nYx0TuD2Mu17djwn5abh2SUWihyMIA7OJcO+185GRYsU3ntiGPrkxn0Ag8LKcma8H0MHMPwOwDMC0\nBI8p6fjgUKvf1/QM1ZaeIe/jd/Y34/XqRsPH1NnvgNMd3Yy1hwGzaaQZ8+LOk97HiXawhB8QPYea\ne7FuRz08HvZxKhL93iYao9J+XW5PXHrIhduqoKl7EK29Q8FXTFKMdrBuAfAsEb1HRO8DeBpSU8aQ\nIKKJABYA2AygmJkb5JcaART72WYtEW0loq0tLclV3JoM/Ht7HQ409eD7F0yHzZLcqRSCkRRl2nHf\ntfNxtLUPt/9nt+ilIhD4okzg9ctqtU4A4xI4nqRnWWW+z/NgdRHhpBaGCjNj08EWbD7SHtU+mBkW\nU+ATON7ej/rOxEnRi0hL9NQ0SRkcTo/Hx6ka7Q5WW+8QGrsGI97eqBqsV3Y3YFNN7O3ncN+uj4+0\nBZwc0uJye5LKRjLU4mbmLQBmAPg6gK8BqGLmbaFsS0QZAJ4HcAsz++irsnTFdK8aMz/MzIuYeVFh\nYWFU4z/VGHS68Yc3D2JeeTYumSNsjtHK8skF+H+rpmHdjpP41yeiHksgUPEyEeUA+C0kBdtaAE8m\ndERJhja9z27z7R90qLkXoVDX0W/YmBTDuKPfEWTN4PswB3Gwqk92YWtt5I5ctIxyHyApUCYBmEeq\n5Y3mup33D7Vi89E2AMCBxh5vWm6o+HMmIrnnuuOgbql1/CYVpBu6/1d2N2BrgFRoZoYryqh5OMQi\npLEYwFwACwFcS0TXB9uAiKyQnKsnVP1LmohonPz6OADNMRjrKc1jH9aioWsQt11UJZoKj3JuPncK\nzppWiDtfqkb1ya5ED0cgSAqY+RfM3MnMz0OqvZrBzELkQsU+TT+oSH8J9jcYVwf60RHJqDRF8buk\n9LmKRYTNSFxuDyyaNMaGrgG8tqcRnx4PvS5ubCPdJy5NimBnvxOv7mnAiXbjnP9Esb+xO+yInN8a\nrCSK4igw8wgHqzjLjnSbsboAJwNEq6tPduOV3Q1xi3wa6mAR0T8A/A7AmZAcrcUAFgXZhgD86GGm\nYwAAIABJREFUFcA+Zv6D6qUXAdwgP74BwDojx3qq09nvwAPvHMK50wuxbHJ+8A0ESY3JRLjnqnnI\nS7Ph5ie2o2dQ9FIRCIhoFxHdTkSTmXmImcXsgwZthCeYaeGvt46Rjowiq04E9DtcWL+7IezvtLZe\naR/JnibmcHtgt/qaWn1DLgy53Dh+CjgG8UDxw9/Z34w+x3Atcrd8zzT3jN46HS3h1EKNptYLTvfI\nQRHFtyey4oi7PPGJYhkdwVoE4Axm/gYzf0v++3aQbc4A8AUA5xHRDvnvYgB3AVhNRDUAVsnPBSHy\nwMbD6Bly4YcXzUj0UAQGkZ+Rgj9dtwAnOgZw2/OiHksggNRY2AXgGSLaQkS3EpFQ81Fht/qmBKbI\ntbjj80YK/EoiAmoHS/VaDL5vnG4PTnYOwOn24FhbeM6GMp4gGYJemnsir3WJBpebR9Q/i6/u8FCc\nDg+zn1S2U+eCusO4OZijiwLHE72JEDMRSrKM6csaij2krBEn/8pwB2sPgJJwNmDm95mZmHkuM8+X\n/9Yzcxszr2Tmqcy8ipkTl0Q9yqjvHMBjH9bicwvLMaMkK9HDERjI4ol5+P4F0/HK7gb84+NjiR6O\nQJBQmPkYM/+GmU8DcB2k9PSjCR5WUmHV9IlKsZhx6dxSzC3LHrFuR7/DJ+0oHgIN1Se7g6+kg2Kw\nmYgwW+dctHx0uC1g+lCs8DCPSBEMx4hOBrYf70Bzt+SgNnYNhjy5d6i5J+QaP394PAxHkLqZuo7E\niZgYgfq+DOfz4PJ4dF3LZLy99NQApc9uFs6ZXuRd1hVhLVg45zxaI1gFAPYS0etE9KLyZ/AxBEH4\n/RsHQAC+u1qoFZ+KrF1RifNmFOEXL+/FR4fbEj0cgSChENEEIvoBgKcgiSz9IMFDSir0nCSziXRn\nvlmzvtrZSjFQhdaIfSljIyIUpKeEtI2S5vjOgWYcbe2LegyhwBiZpul0qa5xkqc4MjNOtPfjoyNt\nqO8cwOajbQGFBADJSHa6Pag+2R11zXCoztOe+tGbHTykEuo41hb6fXm0tU/X2Q2nD1a87j9lmIsn\n5nmXmUwEIkJ2qtW7bNPByNQMQzkLZQzximAZ3XX2ToP3JwiTvSe78Z9P67H2rEqU5qQmejiCGGAy\nEe65ej4+9+CH+Oo/tuLf31iOKUWZiR6WQBB3iGgzACuAZwBcycxHEjykpMNftEEvs6h30OVj4DV2\nDYKIDElHHnS6kWIxgYiQYjX7GJXSOEPfl8PlwZDLLW/HISt3KKt1Dzixq67TcBUzXXjktVY/d3kY\ntlDzHBOA2v52yu9ZsEjgxgPNyE2zGXT80G6Mwy29IUUyk5Ehl/TZUD4TDpcnqrY64XyW1Ne3q9+J\n7DRrgLUjR3H61PeF3m0f6XcN+6Q28whht7beIW/kalRGsJh5EySZXKv8eAsk6VxBnLj7tf3Islvx\njbOnJHooghiSnWrFozcuhs1ixg1/25Kw+gKBIMFcz8wLmfku4Vzp42+CWk9Zdmddp0/EwOkZ7isT\nrrpx75ALu+o6wcwYdLrxenUj9jf2oLFrULeOJpxZd7UgRkFGiq6zWJSpX9sRb1EMD/MIQ1LtXCa7\nSId6fMEk8YFhQzcaCf5QScZUuEioax9AQcZwFPZElC0Rwrks6tvP6Pfso8NteGtvkzQmb8R5+PVQ\n7qdQUZ+zS+czpaiOmoiQnxFaxDtajFYR/AqA5wD8RV5UBuAFI48h8M+Hh1qx6WALvnnulJjNQgiS\nh/F5aXj0xsVo73Pgpse2om/IFXwjgeAUgpkPJHoMyU40dVRO2auymExh1w3tPNGJo619aO9zoFf+\nbmrtHfL2/dESzu7Vq47PS9NNd9RTzx1yebAtSHqb0UjnRZhcmOFdpu7d5IxXvlKYvLO/GbWtfT73\njykEgzie/uL+Rt96pdEq/NTncPk0ww7WPFshxWLCxPx0nDOtyGd5ONfBNyXYdztmxrod9RHX0TX3\nDHpVH5U9qz+q6s/tzHHDegEDDnfYqYuBzkNNNJHBcDH6SDdDUgXsBgBmrgFQFHALgSF4PIxfv7of\nZTmp+MKyCYkejiBOzCnPxv3/vQDVJ7vwpce2oN8hnCyBQDCMxxNcaeyMKQW6yw80Sr2vrGYpTTAc\nw005psvD3oiNVtFQTTjmlHYYoc6DH2zqQUNXfAURlAhWln140lNdyJ+MNVhuD6N70ImddZ0+19qs\nuo/a+xxYt6PeK7mvEA9hFH8cbumNy/Wsbe2LuofZwSb/feVCPQW3R4oCZadZsbKqGEsrpUmF8CJY\nw2v3DblxuGXYmVKk1atPdkXdoFc5Dqk+rTaVAI86or5hf1PYEzo+iqcBhhqq82oERjtYQ8zs/bQR\nkQWnkn5mEvPSrpPYXd+F766eFvBHTHDqcd6MYtxz9XxsqW3HjY8KJ0sgEAwjGfiBjYpgRodVnvUN\nx3a1mqV9Ot0eDMniEoHELcJx3rTrRipVHY+oP0MyHtUpkEr9GBDfiE+oKOMzm8hXtl8+B6vZ5HWs\n6jUiFP1DxjZ+DuetrT7Z7eMgxIqddZ1R9zDTNgBXE6qT6mb2ptllpFiQly7VN4VXgzX8+EhrL/bU\nd3kjrOpxRHu+6hRBxbHyFxF1e0Y2JQ6HQM5ZKFFYozDawdpERLcDSCWi1QCeBfCSwccQaBh0uvGb\n1w5gVmkWPrugLNHDESSANfPL8MdrFmCr7GSJdEHBWICI0ojof4joEfn5VCK6NITtLiSiA0R0iIhu\n03mdiOg++fVdRLRQXj5d1a9xBxF1E9Et8mt3ElG9pp9jwpF65QReJ5jRkSZP2oVj9Cjy8E43e+t4\nAin3hWNO7azzVYyLtBVQPOTSFQ2OVD8Tn7GuwWrtHQp70k3dxLlbVe+mXC7mYWfZ4fZ1qHbWdUYx\n2tBQq85p0au/GW0EisL1O1w40d7vjSirJxeGH4V+DfTuP8WRVr/mb4/MHFJ0S5kUMRHhnOlFONNP\n1Hx4/aC79Lt+oM+UOY59w4x2sG4D0AJgN4CvAlgP4A6DjyHQ8OgHtajvHMCPL66Kq3cuSC4un1eK\ne69ZgG3HOvD5v25GyynU3V4g8MOjAIYALJOf1wP4ZaANiMgM4H4AFwGYCeBaIpqpWe0iAFPlv7UA\nHgSkmi+lXyOA0wD0A/iPart71P0cozqzEKjvHMA7+5sDGhQeWVFrVVWxT78ZNcGMjizZoA3HwVJm\n1l1uT0hRmnAMKiU6pqAe/rLKfFw0exwAoDBIMft2g+qxmBn1nQN+onAMIqAoy44zphQgzWYZsW2s\naOsdwgeHWvGmLDQQKttV6W+fHB1uQaq8/wz22hra9zZWZ1NZINWwleem+dTraImF/ez2sLceUU2s\n3ru9Dd0YdOpHAnec6MT24x3YcUJyZNUmn5JmxyxFjkNqvqsn887SxL36vfe3q+3HO/HK7gbv2JRx\naXF7HSwg1WYOKjQRbgRLHSEO5KAaKawRDKNVBD3M/AgzX8nMV8iPR/90QhLT1juEB945hJUzirA8\nyIyA4NTnsnmleOC/F2JfQzc+c/8HI4qABYJTjMnM/BsATgBg5n4EL8lZAuAQMx+RU9qfArBGs84a\nAH9niY8B5BDROM06KwEcZuaEdfzeWtuO7kEn9jV0Y8M+fSNacrCA9BSL35n/YEaHEq0I59dcmVnf\n19jjLXQPRF1Hv1+jUos2DV6p67CYTCjKsnsL2U+vzEdxlr6aIBB5U1MttW392FrbrptG5eHha1GQ\nkeJNx1SM4VgGXHpVmQzrdtRHndlwrE06P7eH0S/vS+vcG22/KhEpq0XacYrFFPAT3j3gCvk+CpU3\n9zZhvexEqIll9HGnxlFRlDOViVPlXlNPqiuP2vscWL+7AVtqg08g6EawWEq3VEcv/VEnKx7ua+jG\nsbY+b5sHdW2ew+Xx1nPqqZfqoR6WOqU2lPX1ItPK65GmE0eC0SqCR4noiPbPyGMIfLl3Qw36nW78\n6OIZiR6KIEm4YFYJnv3qcrg8HnzugQ/x9v7wZi8FglGEg4hSIU+cE9FkSBGtQJQBOKF6XicvC3ed\nawD8S7PsW3JK4d+IKFfv4ES0loi2EtHWlpbImmpqOdzSi94hl+4su4eDR6iCNf61mMJ3sLzRDrlR\nbSg0d4cWdVf2nWKRHC3FQdT2tTKbCBkpRrf7HMmAQzIAd5zoHHGu2mumGLR2+ZrHMk1RazuHYjAH\norV3+P1RZK+10YJADm0kuNy+4ggmIh+hBC0NXQN4v6bV0DH4M/AHXYFT4zr7HT6KkeHQ7xg+Zs+g\nE2/vb8a6HfUj1vNJEZQfNnZLbVtCEXTRc7CUSRlfdNZTbasV7VA7WHrfS0HH5R7et8sd/DOijuXo\nRbA6ZQn6URvBArAIwGL5bwWA+wD80+BjCGQOt/Tiic3Hce2S8aLRrMCHOeXZWHfzmZhUmI6bHt+K\nX6/fF9IskEAwyvgpgNcAjCeiJwBsAPCDWB+UiGwALodUZ6zwIIBKAPMBNAD4vd62zPwwMy9i5kWF\nhYVRjWPRxDyf59rmvYA0wxwsghRsVll5OZy0nUj8hlAnl5VZ/HOmS9fPbCJcOrcUM0tHpo7FccIa\ngG96HSClLqnHoLwXA3KUJZaqd9r3Kxaz9y29sU1Fd7o9MJvIaxhbzMHPIZSIqRH0B4gIMjM2HWzx\n25YgGGpnOFCkTC9FMBwcupMyPMKFdeo4OYEcdvW4IhGsCLd9gfoI2st1RCV8Es8qGqNTBNtUf/XM\n/EcAlxh5DIEEM+NnL+1FqtWMW1ZNS/RwBElISbYdz351Oa5dUoG/vHsEn73/Q9QEkIYVCEYbzPwm\ngP8CcCOkaNIiZt4YZLN6AONVz8vlZeGscxGA7czsDQ8zcxMzu5nZA+ARSKmIMUVrLGgNMSMmVWaO\ny/KmIYUTbQlkVE0vyfRGn0LdRkE9G65OFfQ3Mx0o2gEA2461B3w9FNT1H0WZdjhcHnxwqBW9Qy64\nPeyNAKpRREBiKcow5PQ1UkOxvyOR41acxK4BJxq6jG16L10/wqSCdEwpysCE/LS49ruqDSDM4gzw\n3ilD1MrYB8JftDWQ4xTMaQ7mwOs5Tvsaekaku+rJyuttqxDI4QkFddQqlO8F9SqtvUM+590zOOwI\nx3PCxegUwYWqv0VE9DUAsY/Pj0Fer27Cuwdb8P9WT/PpAC4QqEm1mfG/n52DR65fhMbuQVz6p/fx\n4MbDEactCATJgPq3BsAESBGjkwAqFMW/AGwBMJWIJsmRqGsAvKhZ50UA18tqgksBdDGzugjjWmjS\nAzU1Wp8FsCfsEwsTrXGlNaa2BqnBOHtaIZZPHlm7m5Nm8xp14/PSvCmEWoM9EIFMoqlFmchKHWka\nhGKIhVv3EsygqpNlxj0eRk1TT0R1NWrjLtVmRkPXAFp7h7CnXlI71GtummaTnMNYfRfXdw6gptnX\nKA4lghWJw/fSrpPY39iNjQeavalYaqJxiJQ2A2YTYVZpNlIsZgyq7kM9dUaj0kI7+x0BVREDOaOB\nnIJWP1G/TLtvjaT3ugW4fFphs/LcNJ/nu+p9FTe1KPe7IvEOhJZaqN5WD/V7fki+D5U+XaGgjvwF\nuiV3nuiUepKp1jnc0os9J4fP2zeNMn4eltHOjzolwgWgFsBVBh9jzDPgcOMXL+/F9OJM3CCaCgtC\nYPXMYswbvwI//s8e3P3afjy/vQ4/XzNL17gSCEYBuul3MgzgPL8vMruI6JsAXgdgBvA3Zq6WJwTB\nzA9BUsC9GMAhSEqBX1S2J6J0AKshKeWq+Q0RzZePX6vzuuFobQVthEkROVA39FSTkzZsVKXbLN7U\nKiVFiCEZJ0qkSBEP6B504p39zVhVVYx0P8as1viyW82YV54Dq1kylhdNyENr7xC21I5UqfNH35AL\nR1r8RxRCGYcevUMutPYMYW9DNzwsRdjCQd17SZLPlh539kspVHpOwLTiTOw80enjYHUPOn0aEkdD\nc3dkkaRIfaGDTf77TzFL96rS38jq537Uw6Pq9aRQnJ3irZAc0BG0GHC6wbJ6ZjS0aaJP63bUY/XM\nYu/zQBGcQLedv5oirWPj8rDU5DuAh6UN3M4oyfQKTwBAQ+cA5o/P8bu94hCHEmlzuj3wMHujz/7G\ndbil1+c+UiYxAjv4oTlrWmplUQ1t/WX3gH7Uyt93YSww1MFi5nON3J9Anwc2HkJ95wCeXrsUljje\nLILRTVGmHY9cvwgb9jXhzpeqcd0jm3Hp3HH40cVVKMtJTfTwBIKQifa3RpZQX69Z9pDqMQO42c+2\nfQBGTMUy8xeiGVMkaA0Wh8sDj0cloS1beeNC+HyvrCpCn8ONDfuafEQxiIYbER9r60dZTiqOy2py\nDV2DmFKUobs/rVHk8TBKsocFEGwW0whBhGCRjrf8KCUGQs8A17LpQIvXqYqkIF9N14DTm1415HLD\nZjahKHNklklJlh37LCZvH6mTnQPYUtuOxRPzUGrA93Frr14kKfh2Wic9xWLG1OIMbzTOH4HeO+WV\nl3edBCD1bQwVt2dklCbFYkZBRorfSJDbw6ht6x9hdIeL3jmrpctdAeqEAk0WBPIzynPTvA6S28Ow\nmgM7a1oBG60zqldjpaC0FwiFFIsJr1c3wu1h7/vnb1x76rt0vxcirX8KJaiqXUd9WezWYTt5RpiT\nJ9FgqINFRN8N9Doz/8HI441Falv78JdNR7BmfilODyPcKhAorKwqxhlTCvDAxsP4y6bDeGtfE756\n1mR87ezJSLXpN8MUCJIRIrID+AaAMyHZce8BeIiZjS0ESVK0DtaW2nbkpduwYqok/qAYV6EYNkSS\n4t6s0iyU5qTi7f3NAEvSz4rR1tY3hF31XV6jLpChqLWJ9Gwk7bi6BlzY39iNGSX++xyFi14E67wZ\nRajvHPBKR7s8HsNqM7TS71mpVt3+lCYTwWYxoaFrEE63xysY0D3oRCmid7D0mgsHioQoaB2D8tzU\nqIU4mBnH24YN+ZaeIRTqOJ1aeodcaOgaQLptpKka7P0acMRG1EldzxMovTOQM6tOw5w/Psend9Ts\nsiyvg+V0e2C3mgM6r9ooXTgRmv4wrpGegE6g+0LvcxepfRFaDZbvOspl6RpwovrkcLuaeAYlYqEi\n+HVIcrZlAL4GYCGATPlPEAXMjJ++WA2rmXD7xVWJHo5gFGO3mvHd1dOw4XtnY2VVMe7dUIPzfr8R\n63bUx7WAWCCIkr8DmAXgTwD+LD/+R0JHFEf05NfVqT5KKk84dbpTijKRZrPgzCkFqCzIgMVs8kaw\nAOBYWx+OtErpYIFSfrTGl97XitY4rOvox4HGHl3DVfu9dPqk0CYY9Y6babfCrhHZiFVPI23qVX76\n8HthNhHcHvaJisSS2tbgcvnBnKk5ZdlhH5cBn5qYDw+HJqOuOMB6qoAT8wNHp7TNqMPF3++g2tg/\n2trnN+IZyClQrvHKqmJM0JxHisXsvbeVe7K2zf/7pvXd9Zx5f0SrthjoHLWfpxSLaUSTbTVlOWmw\nW826UcfGrkGs21HvreXSQxuxVcRtWnoSN9dmtINVDmAhM3+Pmb8HqdN9BTP/jJl/ZvCxxhz/3l6P\nTQdb8L3zpxvea0IwNinPTcP91y3EM19dhrx0G77z1A5c+dBH2BWgsFcgSCJmM/NNzPyO/PcVSE7W\nmMBuC/wTXpwlGfORpJzlpNkwp1wypv3VsgQy5bSpZqFETwKte0xjZOakhVar5M9Q1o5PqS+LZH4p\nUE2R1ghdWpmHVVXFPtt16AhDRIO/6E3kfZGGH1cW6qeEBsLDHGHqpf83Q++eXqxqWxBtRDJUsQ+l\nZYCWQM6H8pK/ISpS9E43o9/h8ka09JyPaPo6qUVrxmVL1zMcgRDtvaJOCxzhYOnUIapJtZlxwawS\n3RpEpcZRHYlSLwdGpvYOv/9x7tOgwmgHqxiA+pvCIS8TRElz9yB+9lI1Fk3IxY3LJyZ6OIJTjCWT\n8vDiN8/E3Z+bg9q2Pqy5/wN8/9mdaE7g7I9AEALbZZU/AAARnQ5gawLHE1f0pM7VeJhj2mhXz4g9\n1taHl3edRHufA/npKThziiSk48/evHRu6YhlekIW+xt9Z69DNSy1drJiBE7KT/dRTusbkpySSBr/\nBjLGtREKi9nkFQZRn0MwOflwCORI+YvUOVweNPcM6ta7qGvnIiGc6CAzoylMgQ4iQnlumsbpiu56\nhjpmf325Am2tTCBoI8BKhMcqy/pLoiDDr+vd88EcwcIA0Wv1OZ42IRdLJuXh3OlFI9bLTvV1ehRn\nplfVB6wsJ9XHAVTaEyipoN0DoTW5TrGG7pbsaxh2uLSOrimENOZYY7SD9XcAnxDRnUR0J4DNAB43\n+BhjDmbGHS/swaDLg7uvmBtWCFggCBWziXD14gq8fes5+MqKSrywox7n/nYjHtx4WDQpFiQrpwH4\nkIhqiagWwEcAFhPRbiLaldihJR49gQAj0UsR3HGiE24Pw+1hmGjY0PRXc6NnNOr13NF+B+mlR+qh\njYbNKpWiciYTYULesEGoTCb1D7lwoDF0ufaDTT0B06r1BC4U1Ia0d7wGZCoGSt18eddJ3fF+crQd\nHx1u89btleemesejNbDDJZzeWLVt/fj4SBvqOvpDvhaXzyvFaRNyfZZFm+oeahqjv/uQ5YCKXvTX\nG8HSvKQoFJplp61n0OmjBqk44fnpKV5lz2ATKIHqntSTCWYTYVx2Kkwm8ukvB0itGtSs3y11rHC6\nPUi3WTC5MAOzy7J97juX/Pkvz/HdNhiB0ghHjF/1udE2PVa+VtSX2MjazlAwWkXwV0T0KoAV8qIv\nMvOnRh5jLPLK7ga8sbcJt100A5MjCM8LBOGQZbfi9ourcO2SCvzqlb24+7X9eGrLcdx+cRXOn1kc\n1z4SAkEQLkz0ABLN+TNLQAS8Xt044jW3h0N2RGKBxWxCfroNM0qyolZ00xKq4zi3LAfVDV2YU5Y9\n4rsrP8M2Yv2W3iG09A7B6fZgdgj1RupZ9BklWV4Z8mq55ihQpC2a9K5ABHMtPAxoAy+KgeqWJcSV\nKFtaimRsL56Ypys2EQrhNNutlyW9Bxxub12Nv+u0sCJ3RErZxPx01Lb1RRSJVKMWs9CjLCcV9Z0D\nfq91wBTBIMdWah73NvimxCn7NJmAC2aVBNmLsk2A1/y8eP7MYlSf7Pam4E0u1FeR9LDkDCqfk0GV\nYmdr7xBSLKaQxEzUhPKR6B1yBa2x07NTwm2/EC2xkNNIA9DNzPcCqCOiSYFWJqK/EVEzEe1RLcsj\nojeJqEb+nxtoH6cyLT1D+Om6aswtz8aXzwx4KQUCQ5lUkI7/u2Ex/v6lJbCZTfjqP7bhy49vDTt9\nQyCIFcx8DEA3gGxI0un5APKZ+Zj82ilPqs08YsZZmb3X6yEUKUqqn5pgvpvZRCAiTC/J1G22Gw+y\n06xYPrkAmXbriNl+fz28AF9jMRSWTy7A9JJMVI3Lwvi84VS1QNEkf+ll0dDvcAWtodUz/pVogOKY\nlOWkYlllPiplx7g0JxXZct3bool5KM9N1ZVbL8xIwaxS30jBSVkKXNsEV4+2viF5jMNRS3+TBOPz\n0rxjUpg3PgdEhEPNvfj0eEfMGjkrEwb+HCllOTOPiIYqn0/ltFZWFeMsWfkTgI+ojC5BPDS10xko\nkufPCSUadpoqNNErs4m8SoUeD2ua+I7YU9jfP6E0w96wrwlv7W0OaX+JnBA29BuPiH4K4IcAfiQv\nsgL4Z5DNHsPIWcjbAGxg5qkANsjPxxzMjO8/txM9Qy789op5oueVICGcNa0Q67+zAndcUoUPDrdi\n9R824dmtJ4TaoCDhENEvAOwCcB+k5sO/B/C7hA4qCVAaoLo1BlA05GekjEgVYgY6+hx+azVDVXKr\nGudrkCdDlDyUDEF1Yb36XNX1VIEMTLVQh7+eTuGirosBpDo9bR2O9qv7aGuf1yFolNP5TEQoyrLr\nvhdlOak4bYIkKLFIJSwBAMunFGBKkX6koCIvDfnpKbqNl7VYzMPGebj3g+LUHG/vx6t7GnCkpddQ\nRyvLbh0ek5/7RN2E+GirbxNm5RXlPslIsSBXVQ/o755JkScpgt2a50wfdtYCras0PNZO0ChcPq8U\nCyp84xtTijLgcHuka8zsE3HSfteYSPpc5KbZRtwn/gjmkCl2R6AeZOr1EvlNYrTF/lkAlwPoAwBm\nPokg8uzM/C4ArUbpGgzXbj0O4DPGDnN08NiHtdh4oAV3XFIV99CmQKDGajbhyysq8ep3zsKMkix8\n/7ld+OJjW7wzkwJBgrgKwGRmPoeZz5X/zkv0oBKNYvi7PB5D09D09vRuTQs+Otymu77W2PfHtGLf\n37cSjUqukp5kNknGWjxwhaB6t0Ulr56jGpfazgyUolmUaYfVbEJRpt0wB0tr5NqtJiyfUuDTH0kb\ndVFHvBRnOdT7xl+T+vNmFOHsaYU+y2wWE7JSLQHr29QtBRSVxVAVI/2xu74Lr+5piGofalZMLfA6\nFv4a+W4+OvyZUARUACkyqqj3+bs1iAgW00jzvCJfmuCYGCTdlohw/kwphTCQ7L6Szrq6Sl+LTs+x\nVYR1hlweMPveb9q1rRYTiAhnTSv0e5+MPGbg19X9uAJ9FyTD9K/RDpaDJbeRAYCIIk26LmZm5dPQ\niDGoRLivoRu/Xr8fK2cU4QtLJyR6OAIBACkt4qm1S3HnZTOx+Ug7LrjnXTy95biIZgkSxR4AOYke\nRLLhlGeYe4fcMVURDPax9zczHoisVKuPA+Bye7y1ILlpNpwxpQAXzg6t/iQanAEM085+B7oGnGiR\nnaIUTfqj2kbUsZN9yLJbfb4/tdd0yOUOKqShRm3w2q1mLBgvRSDUanOhSKZHG/nMtFtHvP8WEyHN\nZobD7QkaUWKGN9K1aIIxVSIv7zoZdJ2ufide2SWZn+qUxmWVw33XLGaT1/nYdqwj6D6VflMOlwev\nVzeiRu7nFG76aIrFjDXzy0JyVlJtZuSm2QJGYiWlPwpLCEeZMJAUDtnHIdKejzXYza8wW3O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I8dLYGcEn8vXTCrBEVZkUdLAqGNpsWz6au69kkrSMLM2N/YgxPtwzXBJhN5RRqC1RvpOVG1bX04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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace[200:], [D.d('nu'), D.d('sigma')])" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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eI2JMDmc9VVIUERER6YyCoogUJC+Y9TQSycGsp8HxNJmNiIiISOcUFEWkICV8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\n2niMXhH3ljqREEIIIYO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "fig, ax = plt.subplots(figsize=(15, 8))\n", "returns.plot(ax=ax)\n", "samps = pd.DataFrame(columns=['S.{}'.format(i) for i in range(1000)], \n", " data=1./np.exp(trace['s',::2]).T, index=returns.index)\n", "# samps['date']=returns.index.values()\n", "ax.plot(samps.index, samps.mean(axis=1), 'r');\n", "ax.fill_between(samps.index, samps.quantile(.1,axis=1), \n", " samps.quantile(.9,axis=1), color='r', alpha=0.2)\n", "# sns.tsplot(samps, time='date')\n", "\n", "ax.set(title='volatility_process', xlabel='time', ylabel='volatility');\n", "ax.legend(['S&P500', 'stochastic volatility process'])\n", "# pd.DataFrame.quantile()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Baseball Trajectory" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you have purely mathematical expressions as the node RV values, you can use the `exprs` attribute to define them. All node references are determined automatically, and math functions available in default `pymc3.math` or standard python can be used. Just beware, outside references to variables is not allowed (i.e. bayes-net must be self-contained), unless you format the string (i.e. like using python 3.6's `f'{x}+{y}'` for externally defined floats, etc). \n", "\n", "**`BEWARE`** The current implementation of this (designed for compatibility with PMML (XML) bayes-nets) utilizes a call to `eval()` python function. **Do not use this unless you can absolutely trust the string being used in `exprs`**" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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D4Aq1S4iIbM7MdgCuAWaXYtLA3duBG4Hjin0ukX6aDvxchXDfqRguXxcAOwGfCB1ERKQM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\nc+ggARwCtAL3hw4i4akYFuk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymc3.math import sin, cos, sqrt\n", "from theano.tensor import mean\n", "\n", "#synthetic test throws\n", "np.random.seed(19806) # random.org\n", "v_obsv = np.random.normal(loc=24., scale=1., size=10) # m/s\n", "\n", "# gravity\n", "g = 9.81 # m/s**2 \n", "\n", "D = BayesianNetwork()\n", "D.add_node('theta', \n", " lower=np.pi/4.-.1, \n", " upper=np.pi/4.+.1,\n", " dist_type='Uniform') # close to 45deg\n", "D.add_node('H', \n", " lower=1.,\n", " upper=2.,\n", " dist_type='Uniform') # about human-height\n", "\n", "D.add_node('mu_v',\n", " lower=1., \n", " upper=30.,\n", " dist_type='Uniform') # from slow to best available\n", "D.add_node('sd_v', \n", " lower=0.1,\n", " upper=2.,\n", " dist_type='Uniform') # something\n", "\n", "D.add_node('V', \n", "# mu=lambda: D.d('mu_v'), \n", "# sd=lambda: D.d('sd_v'),\n", " exprs = {'mu': 'mu_v',\n", " 'sd': 'sd_v'},\n", " dist_type='Normal')\n", "\n", "D.add_edge('mu_v', 'V', var='mu')\n", "D.add_edge('sd_v', 'V', var='sd')\n", "\n", "D.add_node('D', \n", "# var=distance_f, \n", " exprs = {'var': f'mu_v*cos(theta)*(mu_v*sin(theta) + sqrt((mu_v*sin(theta))**2+2*{g}*H))/{g}'},\n", " dist_type='Deterministic')\n", "D.add_edges_from([(i, 'D') for i in ['theta', 'H', 'mu_v']], var='var')\n", "\n", "draw_net(D, pretty=True)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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wFJ27/w34GfDj+KNYEakQZjYY+AXwJRXClcXd24h25pkSOosU3YnAzSqEK5OK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\nxAvxPrCN5xQpGhXDItXpSuAPBdcuNbP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# add observations\n", "O = D.copy()\n", "O.node['V']['observed'] = v_obsv\n", "draw_net(O, pretty=True)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "theta\n", "root node; keys: ['upper', 'lower']\n", "H\n", "root node; keys: ['upper', 'lower']\n", "mu_v\n", "root node; keys: ['upper', 'lower']\n", "sd_v\n", "root node; keys: ['upper', 'lower']\n", "V\n", "child node; keys: ['sd', 'mu']\n", "D\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "child node; keys: ['var']\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████▉| 5490/5500 [00:28<00:00, 179.67it/s]/home/tbsexton/anaconda3/lib/python3.6/site-packages/pymc3/step_methods/hmc/nuts.py:451: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.703562927814, but should be close to 0.8. Try to increase the number of tuning steps.\n", " % (self._chain_id, mean_accept, target_accept))\n", "/home/tbsexton/anaconda3/lib/python3.6/site-packages/pymc3/step_methods/hmc/nuts.py:467: UserWarning: Chain 0 contains 570 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n", " % (self._chain_id, n_diverging))\n", "100%|██████████| 5500/5500 [00:28<00:00, 190.87it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "theta\n", "root node; keys: ['upper', 'lower']\n", "H\n", "root node; keys: ['upper', 'lower']\n", "mu_v\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "root node; keys: ['upper', 'lower']\n", "sd_v\n", "root node; keys: ['upper', 'lower']\n", "V\n", "child node; keys: ['observed', 'sd', 'mu']\n", "D\n", "child node; keys: ['var']\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 5500/5500 [00:06<00:00, 910.47it/s] \n" ] }, { "data": { "image/png": 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onztdmfFRG02hyThuFzdLtFh9/fTQsmd5rDQlWCIistn8CvAQMAHgnHsV2F3N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\n60OG+p2Tl+Xql8mw0pf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with pm.Model() as prior_model:\n", " instantiate_pm(D, evaluate_exprs=True)\n", " prior_trace=pm.sample(5000)\n", " \n", "# pm.traceplot(proj_trace[1000:]);, njobs=4\n", "\n", "with pm.Model() as projectile_model:\n", " instantiate_pm(O, evaluate_exprs=True)\n", " proj_trace=pm.sample(5000)\n", " \n", "pm.traceplot(proj_trace[1000:]);\n", " " ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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44.5197734.8987705.7060296.3551945.4868725.4372015.8789656.0625964.7178595.025889...6.2071165.6585054.8430255.0723225.0074505.7614955.8789926.4914955.9165325.514255
\n", "

5 rows × 1000 columns

\n", "
" ], "text/plain": [ " S.0 S.1 S.2 S.3 S.4 S.5 S.6 \\\n", "0 1.311804 1.482734 1.547637 1.786735 1.134505 1.192410 1.709947 \n", "1 2.135474 2.359235 2.614563 2.960164 2.251835 2.282309 2.779974 \n", "2 2.944693 3.220742 3.663270 4.112716 3.349673 3.353074 3.831486 \n", "3 3.739459 4.067253 4.693759 5.244393 4.428018 4.404704 4.864483 \n", "4 4.519773 4.898770 5.706029 6.355194 5.486872 5.437201 5.878965 \n", "\n", " S.7 S.8 S.9 ... S.990 S.991 S.992 \\\n", "0 1.351797 1.541606 1.140818 ... 1.528790 1.860363 1.357782 \n", "1 2.562295 2.357460 2.137691 ... 2.730460 2.835751 2.252651 \n", "2 3.750927 3.158787 3.117493 ... 3.910737 3.793904 3.131814 \n", "3 4.917694 3.945587 4.080226 ... 5.069622 4.734822 3.995272 \n", "4 6.062596 4.717859 5.025889 ... 6.207116 5.658505 4.843025 \n", "\n", " S.993 S.994 S.995 S.996 S.997 S.998 S.999 \n", "0 1.671387 1.605147 1.520043 1.202957 1.821310 1.355518 1.446841 \n", "1 2.544672 2.478984 2.609105 2.404199 3.020951 2.526575 2.490913 \n", "2 3.402590 3.337313 3.679035 3.583952 4.199195 3.677096 3.516840 \n", "3 4.245140 4.180135 4.729832 4.742217 5.356043 4.807082 4.524620 \n", "4 5.072322 5.007450 5.761495 5.878992 6.491495 5.916532 5.514255 \n", "\n", "[5 rows x 1000 columns]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# a Trajectory Function, height as func. of distance\n", "def y(h, thet, v, x):\n", " a = x.T.dot(np.tan(np.atleast_2d(thet)))\n", " b = np.atleast_2d(g/(2*v*np.cos(thet))**2).T.dot(x**2).T\n", " return h+a-b\n", "\n", "samps = 1000\n", "x = np.atleast_2d(np.arange(0,200))\n", "y_pri = y(prior_trace['H', -samps:],\n", " prior_trace['theta', -samps:],\n", " prior_trace['mu_v', -samps:], \n", " x)\n", "y_pri[y_pri<0.]=0\n", "\n", "y_pos = y(proj_trace['H', -samps:],\n", " proj_trace['theta', -samps:],\n", " proj_trace['mu_v', -samps:], \n", " x)\n", "y_pos[y_pos<0.]=0\n", "pri = pd.DataFrame(columns=[f'S.{i}' for i in range(samps)], \n", " data=y_pri)\n", "pos = pd.DataFrame(columns=[f'S.{i}' for i in range(samps)], \n", " data=y_pos)\n", "pos.head()\n", "\n", "# y_pri.shape" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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A+j2KUomg0GqRD8/nCSo/+hHB9/nnDczLZf6jj48DL75IoLp82fpm/o2/wexR\nGmzp1+NxZrQCx3jcDKyUGbuuAbuuBzA6RU0utDja7RJ4JJlUe7rJSaMQlPmKhhgb+yTnrv6k8ndX\nhasWXFXen04fbVpdr5saRBWsmYwVMEkRo8z78mXe33CY4LqyQrC/dInbVld5zckkx9Nnmp211n4y\n4ZLmXfdRHaCyWVuMdhz+TpaXzeNF+nKtl3gezyVppZQxAMeQFYHn8XoDffoTEfcU0B3HWQLwuwB+\nE8A/OAT0qwC+63neruM48wD+3PO8c581TgDo9yAEEHrMluPhD39IAHjpJeOri0WC9MQEs7/Ll5k5\nxuPM4F95hcevrzMr1wKrONpW66iqA+C51RBC16PqUYWyaj+PLqWLFkDlmKhJQS3hkkmbRJpNWxz1\nFw6pQYaaTkejJnOUnYA4blnsStWiNnxTU2ZDoLG10AlYM+dq1Th01+X70SjvlWSM/T6vcWnJJq+5\nOVugbbXM6XJhgfdHTxijEe+t/FoODpjFnzxJwPfTTMMhJ/NQyK5Nk6Lixg3zeolEyN0Hfi+Pfdxr\nQP89AP8YQAbAf3kI6DXP83KH7zsAqvr50yIA9K8YgwGBpN8nANdq5Ibfe48g9eKLthhXLpOrVWn5\nzZu24HbqFAH94IAZ3fa2KTQEjv6sXLyy5IUCW39TCLWV8zef8C+ciiZJpy1z7/cJWrWaUS7aT0As\nTl69O2XypcYZ/tZ3fp257kGtZjptUUMCflE/AuHRiF9l6AVYd6PtbdOn+20Lcjne40KB4585YxJJ\nqU3UUm9jg++JDvMvEquRxbVrHOvMGWsNKJklYHYGUvwcB33x/Soay2b5+w6kjI913DNAdxznbwP4\nW57n/eeO43wXdwD0w/2qnufl73D89wF8HwBWVlZeXZcHdxBfLFTa3+uZxHB2ltn1/j4X6uJxa7hQ\nLJpSQo/z6ka0ssLM8fZt6xjkL7kXn5vPm35cvuLFovG5kttJ1SJKQV7oAm5/uzh1BFKGKg5YrolS\nqfg7FanYSJlwOm06dU0emYwBsTjyWMyeVPb2OP5oZKZX/T73zeePTi6NBrfNzlqh0nDIewDw/u7t\nmZ/8iRO8XzJCO3XKJgL1HZWFwdoar+G55/jZCgXbb26O13XxIifaM2c4YatqVaAs213RUe22Tdx6\n/+pVjqsnB00YQTyWcS8B/R8D+M8ADAEkAGQB/D8AvoGAcnlwoXLzapXKFC2OXbvGx+qZGYKz+oWG\nwwSOVsv0omPCAAAgAElEQVSoBC2UbW6aqsPfezMe57hLSwQkLRLq3HIUnJqyMntZ4Kopxu6udQpS\nxu84nCRCIZ5TZfvK2LWYqN6aKhSKx21hVHLCYtHoHbW10+KqnBRlCJbLWT/SSMSeWsQ/y4p3aop8\nuHqRbm9zstM9GRvjwmg2awutWkD+4AN+7nPnCOybm1bMpYVq0UJaWF5b49fnnuP9lpZ8aooqmrEx\njruxweuam+O5/Xy43BvlCaPuR5oICwWbYJJJPhX42+QF8VjFfZEtHsvQ/wmAsm9RdMLzvP/qs44P\nAP1LRr9v1YjXr1sZ/bvvMis9eZIZXadDUBdfrQVClaXn8xzn4ICgtr1tC5miYk6c4HHygxHPPTbG\nc506xe/lQjga8Zz7+wRUUSIHBwR2fyWlGlCr8bOf25WaQ3JDKWrUuUgFSNJq1+tWxBMOm/1Au23j\ntdtWnKRuQqkUP7uscFX8NDVFBcz8vKlfbt0yt8ZOh8C6vGwTj5pAv/EGJ4pTp/ja2+P2iQk+DWlB\nVFr6fp9g7bqcCGZnub7RaHBsmYVduMDrnJnhdc3NGbVyXPki3lx+MQAnpULBFlLPng2ol8c0HkRP\n0d8C8K8cx/n7ANYBfO8rjBXEp4V6gfb7BNl+n/+c77xjHXa2twk4e3vGB/s70Qt81QBibY1AIfvW\n06cpW8xkjmaxUnfMzhLIpCpRgcuHH5rPiKxyDw4I7uKZMxnTT1erBC1Z/IpfF4iLPgEIvOpVms9b\nNg2YZa6/sKrZ5PbTpwncug9ylGw0rEw+n+ckKPpI2Xa9TkBeXeXnzma5j6yI5feeSNjCZS4H/NIv\nAX/xFxzDcayRc6nEa/BXbqpadmmJv88bN/j5n3uOBUKyzR2NSKOFQhxXSh75tcjeoFTiZxsftz6q\n4v9XVmzyk5Ryfv6+/rkG8XAjKCx61ENt38TZ5vOkWfTILh9uURHitbXols/zH3s04nFXr3LfTIbg\n8PLL/NrpmK+56A41jtZCojTl6rkZi5lSRAZWWiwEDHiUzfr58m7XFC4yxdI+4r7lrtjrMXNdXLQn\ngHjcrqVc5j3SZDM9TcBcXSWANZsE4nLZirHUPEPcuZ5E4nErQhKnXavxnL0en5C2tjhONsusV/4p\nb77J906c4HHiutU/VcVV0ahRSAL9M2eMfpGccWaG9+bGDf7+XZfne+aZTxZIac2g2TxaSXpwwN97\no2HXq2bWQTw2EVSKPgkhqqVWI5BEo/znLZX4jynAKJePgvnBAcFifp6gXygAr79O+sN1CUDnz/Nx\nXz1Hd3fNhVGuhfJnAYzOaTRMyigqROoQNYeWXFHmWrHY0UrRVIrHaBGy0zla7i+lSyxG4KxUrJBq\nctJsesW7yzys07ExXde828+ds2bW1So/x87OUfmlKjvF+asJiAqrxEUDdr6LF7k9leLvY3kZeOst\nXu+JE1Y0pcYfon1EWamaVs2zT5zgPmpMkkhYBereHievXo+Z++nT9neivwNNUP0+JxFNoPv7TAa6\nXW4/dy6gXh6zCAD9cQ+pWppNPuo3m/wnvHGD2WciYd2Fmk0DT7Vye+YZvt5/n1y7JIsnTjAbVFPj\nRoP/7JLjqZhHbeCkfa7VjAKJxw2MpDmXqiWR4D6TkwSP6WmCmPTosq71F/z0ekcLhKQNn5zkdaoI\np1AwmZ6yzHicmWwkYpJOqWtkSxAOE2zHx02q6Dgcb2/PMvxm0zTvmYyZgOlJZGyMY6jlHkCeWtYL\n+TzB8tYtKxJqNKzYR08WWkeQ0sYvYVSHI30Wx7GF3Xqd3HunwyerEyfs70X2ALkcz+nn02XitbvL\n7SdPBtTLYxYBoD/uIZ33xgaBO5UiXaKOQ3Luk/IkFrOCo699jXTBX/4lwUVVn4uLVsQCmBKiXmdm\nqMU4dSqqVHjuwcCAXGX9AiIpSiYmeJwy907HKBjPM2CUhjwaNamkqjj9FZ96UpCVrmifctkcCuX4\n6HlGoagyVedSY2Zl92Njpl7J5cwZUY6Sm5vmUz47a1Wdams3NUUgVSETYFWc77/PbSr/n5tj5r6x\nwUlTTpEAJ4bJSX5Gf3VsKMTjhkOzOu73rQ/sYEAKpdcDvvEN/k4BSwDU7KNWsycCgPtfvcrf+cQE\nn9AC1ctjEwGgP86h3qD7+wTkWIyA4LrM+m7fNjCXxlv67ZdeIvC88QaBT9pzLT6qcKhQYFaXThvX\nPD9P0CkWOWFId51Mmne4FjIzGauaFL+swiPHsdJ/+bDIa0UyQ39H+3qdmfLeni0AC9QlbRT1oAYQ\nymgF6po4PM8mHMexhtC5HM+7uGiAqaIo8fKdDjlwtdVLJLjv4iLPL/onkzHvG02OopZef90mwW6X\n9Mgrr3DMGzfs6ULNpuXXImsDTc7yz9GTgCi1XI7X/MEH3P6Nb/AadS9LJaOuWq2j+nR5+jQapN3O\nng28Xh6TCAD9cY5SieBx44YV3FQqpmjRYqG463abwHf6NL+/eJHAu7Rk7oPAxwU6w2YH7WEMnall\n9JdPYZTMYJjMwK3W4Ny+jdD2BsL9LqJjccSSISTiHlLpEMKx8NGKUHHmgGXE2i4gVsbeaDC7rlRM\nKqlsXTJGKUOKRYK8tO9aPNUThPTgAM81MXHUXrfd5n0SRdPtEpBnZ63zjxp0iPIRzaPmFpcvW2cm\n6e5XV81PPhTi5JlO2+9BmvxLl5gNqyHIq68CP//zzOCvXCGoT0zwXqRSvC7gqGxTtsLqxKQJAjD/\nlg8+4PW+9JKNIVWLPGq0SKyJf22NyYFsAXRcEI90PAjZYhD3I6QA2dmxAp1ikf+Ue3sECH97NlV2\nzsyYSkWGV/0+UCxi2HfRGKXQiIyjNUyin8oBs+SnQ4gg0h0hcuMSnCtX4FaqGIbCGGXyGPYycIcx\noDZCqNtGPDzAWMpFbjKC9FQMoVyO16WqUrV900Lr9rYVMCmzV5at61eJeiRCoD53ji8BsYqVNBmI\nI4/H7amk07HCG2Wn3/iGFQhtb/O1tsZr9Tzjo0+c4DX1+9wnEjGDs2yWx4iS6fV4n196iaD+9tvM\ndGdneVy7zXO/8IJZArz/Pn12BgPgZ36G9+HiRX6GyUlr7C2+W5YJqsSV9YH8zfV0tbDABe+PPrJu\nSGo80u+b2kWLxLJGWF7mdYpeyuXMViCIxz4CQH+UQouUxSL/acNhAnQqZd4kgFUG+s2pVCS0vAwk\nEnAPOmhuVlE+SKKRnIE7OY1IJonkZArpqAPEwxg2i3Bv7KD/0U0096twnTAiE1mEpmcRS4Yw1m8g\nVq8hFAa8dAbdzAwq+UUUp2YQy48hkw9jajqEVNyDI/8XgYmAV40lVCEqhYzsdvXIr+yz2zWKoNMh\n+Ipr9i9eSuqoReBcjpTR7CxplsVFAu/SEu/n5iaBr3ro8KwmHlevmppFOvtCwYy9lpetaEpKn06H\n49brNvHOznKMRoPjLC6aPv+tt7gw7bpczHzxRWr4AU4wUt3IYgDg71WUk+7n+LjVEuzuWju7jQ0+\nzcneIZczvx1V/B4c8L5HIrx2dW/a2GCmHsQTEQGgP0pRr/MfTYUk9bq1WVNThFaL/9CplGWW6qO5\nsoJRNIHSVgfF6230vQwiS3NIn18FwhG0DjzcvumiUffQrHTQK1QxqraB8CKcsWcRWppHaCwBp91G\naL+OsDuByFgSsbEUsst5TCwkkZ0II5WLYxhJot6PoVKPIt1zMTXYRe5gG6GGz2hLUkDHOWqmJeUJ\nYH7go9FRqkZcu7jjuTkCe7NpTS2mpnicvFpu3CDo5/MESFEloxGB7dVXzYxsb4/Z+cQEx2s0bK1A\n9ES3y69yamw2jzaIlma92SQwVirW7k8KHz1N/OhHnDxcl+qjc+eY5TsOs+39fV6XOHL/msf4uNk5\naJFTTTlmZgjQhQI/vyiofN6KouT1Lv+c8XFed6vFMSYnjzo2BvHYRgDoj0qokGZrixmfOtLH46bB\nlkRRhSOqKkylMJpbRKGVROlSDYPNImLZGFIvnEZl4gwuXnextxdCpThAr++g33XRb3XheTNAbAVO\ndgzRzBhipSbCa02kQ22MjScRm5hFajYDbyyBopfA7k4YoR0P6dgAU6kSpkIVjDd30a50sdaPIBXt\nYzbZxHjkAKFYhMCcy5kGXO6LfmmipHudjvUF9bemm562akgVDmlBsd9nZry6ynshLbq4aEkkczme\nd3uboK2s+OZNArAKiFTtKm28dOmplOntt7cJopOTvJ522xQ2e3vkz0+d4nECVtcFvvlNZunFIq9l\nYYGv7W1er3qTFos898yMFWaNjfEzVKum1NETQ7VqlFu5zEnjuedMotls8vt+n/uK2hGg375NWml8\n3CbZIB7bCAD9UQhxusWicarlMkFJqg+Vzusf+lDb7E3PoJo7iZ1iFIPrawjvbWE0PoOPln4GV9dn\nsP06UK+N0Go76A3D6PTD6PbDGLhhuI4DNxKDVwEwHCLsJhGKzCCeiCDecJCsRpAreshNOJiZdLE4\n3Uc+1cegUMf6fg3rBwcYRx/LsQLG0cAAMawlc0gtrmBhJY2xlEtGRcCnDF1+6OKGx8fNqVGT2XBo\n7/kpgkaDyh9Z0VarzLTzeY7vV8nolcuR5lhaModJgBPl2hqBX3zz8jI5cNEaxSL3VYejXs80+3Nz\nnKhaLb6/usrrunSJk/FLL5GHl3b9xRepHjo4MLWMaBSAIOs45n1z8iTvSbdL0NbfxeKi6fY7HVu3\nmJmxFoTnz5vjo6gXPQGKpltc5P3S08HKyoP/2w/inkagcnkUQg0QLl8mgLRa1tRZFMP+PkErl6NK\nIRxGe/U8tuOn0Cy04Vy5jFalh4+iL+KDxDexVU2hWg+h2fTQGUbRG4TRGzlwR84hTevARQiex+8A\nwAuF4YRDCMdCiISAUCyEWCKERAJIxQbIR9uYjVSxminjZLaKXLSFgRdBfxhDeszF4mQfM5ku64QG\nLvLZEeayHcRCQ5PjqWI0mTSpnvxaJEmUpDIUYpYrXxWAx8RiBMYLFwhwU1PWnWcwMDljp2MNLZ59\nFvjWt8x+eHeXr/V17jc9bZYJ09OkZ+bmeP+3tgj829sE2rExk2ZOTFghUyxGUN3aImAvLjIzz2bN\nS31ry5pUqDhKAC6rXi3YqhHJ4qJRN5UKz6X+sbLRjUZNDbSxwft8/jyvqVg0EzJ9VlUBb21xAkql\ngNdeM8uAIB6pCGSLj0uoP+i1a6YvV4s2VTru7FjBz61bcMNRFE9/C3vJkxhu7eLgo1u4uDuNHw6/\ngds4iWo7gnY7hM7AQX8QwmjkYeiF4MHFEA6GCMODv/Sb3zsIwYODkAOE4CHseAg7LsLOEBFviGS4\nj3hkgEx8iMlkD6vTLTx3eoBTzybhhUJoNjxknBaWogXkQ3V0RzFEkhEsLjoYHxvBGR5m3pGIOSCK\nK85kmKFmswSaSoWUSLVKkJqetixcFa2VCpUmW1vcvrxszoPRKEFeZfMbGxz/F37B+HC5QX70EYF+\nfp7XJhOvs2dZVZvNWmHOu+/y9yUwVyVrt8txczlm3fv7vL65OTbfnp42Wmh31xa1lYEXiwR1Vdi2\n2/ybSCatUEyUiDoV5XL87O023+90zHJhbY334vx50/pnMmZ3MD1tT0pXrvBenznDp5MgHrkIAP1x\niWqV/5Ry2qvVCOQq1Nnf5z/o/Dxw8ya6oyi2zv0camPL6F65hWvvH+DfF5/D1f4plDGBdj+K3uF6\nZA8OqJkI4Si75gFwALjAx8B+vMDE+/gVhgcXI0TgIQYgFhkhEfOQTgP5ZA+rM228uFLHsyeGQGYM\nB5E8JuYiWJ3pINFrotccYGLCw9zUCFG3Z1WkoZBVK0pLv7jILFXql81NAvJoZE8o0q/ncgbqly4Z\n8KfTBOXhkDTLuXPMvN99l+f7yZ8kGKvpRKlkXX6WlnjenR1ez8oKJ4pcjuO2WnRWVAeosTGCpnx2\nhkNmz6kUQbrR4O/u3DmOXSrxM5XLlg1LeimrByl2Wi0+teXzwE/8hEkPBdCqdL11i0AuHl4Lq2tr\nvJfPPmsGZHpaGBuzp55ajZr2ToeTT9AM45GLANAfh+j3Cdjyve52rQv9wQH/OaWCuHkT9UEKm+d+\nAQdTq9j74Q38f+9O4O3KKWyPZtBGCoNhCL1RCAN4AMIgSAuYXYThIQwXMQF11EEoFIITC8PxAHcw\nwmg0wnDoYHRIyYwQgYuQbxwHYXiIwEU8PEAqNkAyDuQyQ6xOd/H1Z9s4s9TD0A3DCYcxN+diId9D\nfxhGaiyEpZMxpKK+kv+DA7sf0t3PzRH8ZDUrqkL9N+XFInmi67IN38WLPH5+nu/JFTKToVxwbo62\nw/0+QVgVtMOh9Q4djahBbzZJx4RC5Ojn561IyvP4NHX1Kr8Ohxx/ZsYMtOSD3mzy59lZXuvqKj/P\n7dtG76gYStYGlQpBeXGR4Pvhh/z+29/mZ/Hz5/k8f75xw/qkViq8XvnILC2Rjy+VrPCr3T5KvWxs\nENQnJ0kTRYLltUcpAkB/HKJY5D/ilSv8xy+V+I+qBhT9PrC0BG99A3vVGPZe/iVUp07jrT/cxh9f\nPIHb7Tk0vDH03DD6CIP1imHgkBMHXEQwhAcgBueQcgljhJAPmgn6hHAPwOgQ+EXBeABC6CME9xNr\n6B5iISAZB+LJATIpB/lxD6eWBvjGi32sznbQqoyQT/ewkiwj5lI5snhY8OmEQ1bdGQ4ThMWfj48T\ndEXLNJvW2Uft2pTVz8wQmG7eZFYqoI/FbDLodqk+OX3aip1mZgiC0rQ3GpwYBgPgO9/hPhcv8vpW\nVwnSqoat161r0IULvO6TJ7lPs8lrW142Hl/GXupKVC4T1KW6UZ1Br3fUu31xkWNfv85r/+mfNq8c\n+aan08a7nzvHMXo9jru3Z+6P09N2Le22ySsB3p+PPuIYx90cg3joEQD6ox6qPvzgA7Ou7XSs00+7\nDczMYFSqYKsQw/6z38X25Av4g9/r4PW1eRQGk+ghhC5iIG0iCsUBMIADD1F4GMHBCGHfPgp97x37\n2b/NhQMHcceB57gYugAQOpw4jlI0sRCQTrpIJgbIpoGZSRfPnurh1ecGSIT6iA46WEyWke/uwRt5\nmMkPMDPlIhQ91uRC3O7mpjVUlseM53HyW1sjgIsekVqm0+F7u7vMVFdWzDNGWnVVcLquLTQmk+Zg\neXBAzbjnsbLTcZjV1+sE18VFAnMsxmxcfjjXrpH6GB+36ks1u1Cf0ulpnmtigsBeqVhv2JkZ85Lp\n9Qiwu7vcX/LGnR1Oct/5DrNyefmoR+vaGs/zta9xQpCGfXOTf09nz5rXvAqO5CIJ8Jh33+V1f/vb\nwQLpIxQBoD/K4bqkWj780MySqlX+E1erzAxzOQxaPWzshLFz+qdwKf0q/q/fC+NycQZNJNBFGPj4\nBRCE+3AO8+zQIWXC9/2/YxchuIgefnXg4GPFCwAPHkaIYHRk0VSUTQiRCI/oDY+OqohjhPFkF9lE\nD7m0i4WpHl4408OZ04AXiWMx38F8vAKv0cRkqov5OQ/h4SGAqVo0mSTQ7Ozw58VFZowTE3yvVLIm\nHzMz3DY1RbDa37cmy8rkez0zC1Ox1nDIl5ovj0acAKamCKxvvnkU2N5+25Qr+bz5sdy+bV7kOztm\nESClzdwcAV4VpvKTyec5gcg98sQJM+TS4rjrEtRVRLW9zb+VV14hLSLf+3icn8lxSANFo5wIi0Vr\nQLK+zms6c8aKuNSwRN7poxHPfeECn2Zefvke/cEH8VUjAPRHOep1ZnMffmiuimp0cJjxdXsO1rYi\n2F74Bv6989P4/T9JYuMgjx4iGH4M5PrdDWELnf7iENEpQ8TgIgIPTsiB53pw4cBzwvAOFx8dF3Ac\nlyOEPIxcD54HDBE55NEVHoAhEs4Irhf2PQE4H19DCC6S4SFyyT4m0n3MTo5wcnmAZ59zkMnFMTM9\nwlK6jki9gnysjYU5FxFvYIuD0qyPjxsPLknf5CS/V/OP4dD8YeSrsr5uTz5zc8xwSyUClnqXjo9z\nW6tlZlejkXU6arWAH/+Y4PitbxG833iD1yL1DMBrUSs8tYsLh43qCIWYVU9PE+xlzRsKGf8tJc/J\nk6aYuX2b9wIwb/RMhvSL61Ji+MIL5lMv18l2m39bs7M8Z6tl9gvr65z8VlbMEllNr6emeK5Wi7RT\nvc5Jw98+L4iHFoE516Ma8rlWU4lKxYo/DuVo3Z6Dm5tRrOW/hn9d+Fn82VtZFHpj6H8M2MqeyXkT\nTI+rWLj4GcEAA4TQQxQ9OIAbOrqbd+wwHA75iRj4zhNF14sA6COJEYYIYYAIROu4COFgFEWvFcKg\n72A0OMCgNUJru40TC330zibQnY5gZSYDp+ditNbA4mIIMfTN70X+6MqISyWrBFVLOHU9Go34sxYa\nV1eZtb7xBimMaJTc8t6eLSY2m+S4d3YIkjIzu36dX8+coRb93Xf5evVVUjB//dfkmZ99lpm7Fq5F\n3XgeKY4zZ6wc/+23Wb0p/xdZ+5bLJnusVgmwon5WVjhOo0Fwlkul+PMrV2z/UsnODxCc9/bMQkFS\n0YUFXvvuLoFaKh25Wsod88wZTmZXrvC+BN2NHpsIAP1BhxavdnYsG221+I8bCqHTD+Pmbhwf4Rx+\nd/tv4Y2PJlEdijpRVm7KFf4KTYboHObM7uFCZh9JfFKS+GUiCptAvMPzxtGBCwdDxDHA6OMlWALA\nEBEU+g66FQe9QQjucIhue4hWsYyDeQ+jlRBWlhx4yTF4pSGWFuOIZTIGLoUCQVrukZXK0bZx4t43\nN60Tkbohzc8DP/VTwF/9Fbll9eNUxtpuc9/VVQJhsUggbbcpgex2CcIvvEBgu3iRlZ8/8zMc88oV\nVn4uLPB3qUXslRUC9NYWJ6NUitLDDz7gPmfOEJSVTRcKvHYpTXI5K75aWWHGXyzy80cinATk+X71\nqtFTtRpBPR4nWDcavC+qNtWkMzdnPjRyZpQBWDJpLpDLy2a1e/LkPfj7CeJBRDD1Psjo9QhKWryS\nTvnQzKrjJXB9K4F3us/gv9v/u/iLi9OoDiMAYjAqxb/4KaoDYAbdhwcHLuKHx0Rwb8BcoXMqD6CO\n3UMMPUThHapqQhgevkf5ZANJbDXHcbM8icJgHBvdGayVxnBlPYlb62FUm2HUyyNs3e6zCZD8X86d\nI2CqonR+3roHVaukDSYnmcFWqwQflfOrh+Yrr/D97W2qYNRMWYus4TD5YmX1Y2NGO7z3HqmZM2cI\n/pcvkx77zncIjB9+yPOqZ6kKxE6csK5Gk5OcGLSw+eMfc1IXheQ4HEMNnq9f561Vj9XlZQJ0s2mf\nVa6c1SrpFXn+VCrW5k5NPPb2+FVrCGoWsr9vvvqSYsqCIBYjiCcS/Dxa2wjikY8gQ3+QIR8S8au9\nHsGj2UQvOoYb20n8qH0O/1PpP8LlwjQpko9/RcrIjy+EjgD0QQA/bDbxMeN9p2IhbRt+/D1L/91D\nCaPiOL1zp/BTP+TaxbqHDs8gGqaHKPZ7HgabI7SzfYQmXYzaQ7TLQ/T2mzi5OAAyfTiNEZZWI4jG\nHPMEz2aZSUYiBF9RJof3DjMzBCCV3KtpxcqKGV8NBpxAHccaTdfrxokvLtp51O7vxz/mOV5+2aSG\n167xOr7zHRYYvf8+b8Hzz/NaL1/moqIaMXe7nIh6PbM5/uEP+RlefdX08nryWF9nhv7ii+b3vrxM\nWml/32wAJJVUhi6zsFLJrIFVNVssmsuiFnC7XX4etfpLpXi+VIrgn83yiebCBX7ml176jL+DIB6V\nCAD9QUW7zUfz9XUCe7tNMGk00I+mcX0nhddbz+Gf7/4KrtVnMIADA0wBtB/IBeZhAP7ekB6OAq0W\nKwnaVJZ7h6X/fM/7hKRR4x96c398Lcf3g+99RQRDRGDcvsUIMRQRRb8RwQBxhJ0igBEu7uTQ7VXw\nwsIAoYMudg5GWDyVQGQiazLOUIgZaTTKLHVpid8Xi9yuAqxSyVwrZVgFmIVspUIAG42Yqe7uct+T\nJwlmsZg17HjrLWbptRpBXVLDa9c4hh/Uw2EufnoeQT0atUbM6iYl35rr18nvj0bAd7/L69zZMbOx\nCxd4/sVFTihSpwwGpFHOnuWEcPEiaZpkkq9IhNeazZKmUsGSPNqTSTMDk71uvW52AeEwf1aHo/l5\nTjbr62arEMQjHQHl8iDC8/iPdvOmeXwcNioYuiHc3Evhr2rP4Z9t/DIu1WcxOJIZi145LiMEmJEf\n/xUKRAngYfQQPlxOxcd1onHfsREYjRLx/Rz1bQ8djjeCUSmfF0YHHb1CB3VkcLs1jQ+qy2g4Y+h6\nCXxUW8Q7tVWUQzOoHUSxd6kM9/a6NWbW4l6rRRC7coVgMzfHrD2fN7WHwE0NsP2eK3t7thhdKhE0\nBwOCupQrzSZB8+d/nkC/scFeobu73Kfb5ZNWo8FCn+lpatVv3SKonz3LsUsl63c6N8esPRIhL5/P\nE9T/8i+ZMS8scKKaneVxb7zBiSmRsL6sL75oE8L585wkRLuUy/wcnQ4nB3Hh0tyXy3ypuXYiYaBf\nLvPvU4Zpqt7VAqn8XoJ45CMA9AcRrRaznPV1KyCq1zHqDbFez+GvymfxT7d+BVfa8zj6KxnhaFas\nrDmEO//qqEUnn87sfIQ4RogfZuEq4XfvcKw/dE5NLAJ+cfJ3MwYO93XgHiri/XHgxrDZyONH+yfQ\niGXhRSO4Wcjix9tzKE+fQ2X+eRQGeXj7BXMjHA4J2oBVVK6tcbv03jL9ktZcVaILCwTnWIzHlErW\nmHp21oAwmyUAqnz+Z3+WihYpS27d4jU0GlywbbcJ6hMTzObX1wm2anwhBZOseZ95hpOUrHXffJMU\njMy+Tp/m08fNmwR70SHisV97zdwmX3uNk8fWFp8K1CS7WrXPMjPDCUNe7qrCVQORyUlra9fpcFuz\naeZh09O8HjlUBvFIRwDo9ztGI3MOLJcJ7uUyvG4PW40s/nz/LH57+z/B9e4Cjv46xJcrRJ9I1YJj\n+6RBdFsAACAASURBVA5BII/Csmv/eI7vq4D9bhdMnTscrzGGn3aQL0JwP87sbSLojkLYLsTwxpUJ\nVIZjCEdCuL2TwJtvO6gcRFHInEJ55RWCnMC627VepZUKwafRsLZwS0tmTgUQwK5etX6azz7LcXZ2\nCOqSLabT1kAklbKGG+PjLC565hlm1/v7RptVq3wK6PVo+DU2RvqlVCLQqgMSwG3lMicVKU9eftm6\nGb3/PsE4mSTYLyxw2+uvW8OPVovff/3r/LtaW2Pv1FOnKI/88EN+Dt2jZvNoez3X5bXLqlc2xjId\n2901R0ctkIouchxOaO7dTORBPKwI/+AHP3hgJ/ud3/mdH3z/+99/YOd7JKLZpAzu4kVmg4eVgYV2\nBn++cwr/ZOfv4Ur/BD5JqdwpU/eH1C5+GaFf9fJ54c/6v6wSxk8F3eka73Q+TQTc5iKEg24Y9bqD\nyUwf4/Ee9qtxHFS6mHH2MeoMkJjOIv7MKrNNNYuo13k/m83D04+sE08uZ2qVVovALxmi7HlLJYJ2\nKESQ8jxriCGuWE2f5eI4GFgXJDW4HgwIgrkcM31l/dPTBsKSUzYaZgegbkihkDXuCId53crWi0XS\nPek0x5Mpl0y1Njd5zMqK9U1VdazULXNz1rmo2+Xk47oE+kTC/ONVHxEOcwx/44xYjPup41PApT/w\n+I3f+I3dH/zgB7/zefsFGfr9DDWmuHaN/3AHB0C9jloviTf2lvFP9/9jXBqcwifB/PgC5fHyfYG5\ndOhfdG3br2U//rN/m85xt5z554U/y7fPOEQE2800fnh9EqVOCuPjwK3GLP762gyqN4vY/XeX0H7j\nfXMt/Kmf4mt5mQB35Yp5el+7RpCcmbHsNZFgBvvHf0zA+ta3mKk7DrnjSoXjDIcELYFoKGSGWYmE\n8dbxOMEe4O/18mVr5v31rxMwL14kEKbTBqyRCPevVAjK4+OcZFZX+bexvs5xmk0C+4sv8pi33uI1\nRSIE5WbTjMYKBYLtT/wEzycFzcQEAX5jw5pWp1L8TDs71qM0n+e5MhlbnG21+H2jQbCPRGzR+Pr1\nQMb4CMfnArrjOAnHcX7sOM4HjuNcchznNw63TziO86eO41w//BpM28ej2STA6J+0VEKn6+Dd/QX8\n862/g3d65/FJIDyeLTvHvo5w5+rQuwm/nPGzXtrns5Qt9zZGiGC7kcIbNyZRaMUxnu3jZm8JP2w8\nj1ovht2LZfTffJcAtb1NcPnWt0hPTE0REK9cYVXne+9Zxn7uHBchZ2c5uarS87XXCOoCrp0doyau\nX+fkkE7z4tTWTsU+zz3H42TMJcdFNZV48UWC6vXrPGY0YrYrP3PVHmSzBNKvf53vqR2cFm2npwmk\ngwHplP19jqNq02eesV6ioRA19/0+aZpUioD90Uc81+Skecl7Hic46dNzOWuV1+9zIohGjy6Qjo2R\nRmo2eWwQj2TcTYbeA/Bznud9DcDLAH7JcZxvAfh1AH/med5ZAH92+HMQCiknLl/mP1y9jmG7j8u1\nOfyPG7+EP+9/HV8MkJU9S4f+eSB7p4VLP93xVeO4b8BXjxEi2KmP4fVr06j0ksjH2/iotoA3e6+i\nGp3A/loH7toGgUZd71V8c/Ikv3oe9eN/+qf8HUh3vrpKwG42Cd6bm+YTLg/xS5cIWpkMJ+KbN83j\npdXieKkUj3vpJfNskY/KxYvk62dmOI4AWta8s7NWFaqOVGpb98ILpDNUNSw//JkZXne7zWtWRl6t\ncv9z54z/z2b5FFEocFJTC7133+U5V1ZMZy77CcCaXGezBPdSiZOmKkjlTDk/z2tZWzOqK4hHKj4X\n0D1G6/BHrbh5AH4ZwO8ebv9dAH/nvlzh4xr1OrOjnR2gVoNXLGGtOYl/cfO7+MPed+Ei9gUGk3Tx\n80BcFAl8+x4HXf9299jrOO3yWeG/nnsH7AOEsFNP4a8u5tF0Y8iNjXCxOo+3oz+J4tgJlG8dyj9d\nl9mw41jlKEDr2JdeIlj9m39j7ekyGWtocWizgH7fCnOWlwnq775LMM7lCKBbWwbmakIBcIL42td4\nHXt7xjWvrRHU5+ZYLSqFTqdjRUzxOCclTRSALZaqPZ54+kPnzY/7gYoiKpX4/cyM2Qk0mwTdxUUq\ncLa3OZnt7PCa4nFOKskkJyMt7gKWpY+NEfTV2g6wfVIpnqvX44QXxCMXd8WhO44TdhznfQAFAH/q\ned6PAMx6nicd0x6A2ft0jY9f9Pt8rP/oo4//Afc7GfzL9Vfwf3T/NnpIfMqBnwaMn/drEoj7C4r0\ns4NPH9dPq2jfO00cn6dsuLeUTN8NYbuWwV9cmEC/doBkr4r318fxwfR3sX/yW2hUR6QzqlUC1tmz\nBKKtLWbnS0vA975HAPvLv6RaRI0g5EC4u8tjp6YIosMheelajWNrAfbggLy3OhGpsUSnQwB+5RWC\neqHA7bEYv791y8r71SNWlZnqDxoKmRFZPI6Pm1DEYtzmeaQ+BgPu22rZRFSt8m+s3ydILyxYRn3i\nBO/HlSvcPxrl9+WyUS/5PK/p+nUzRJuYsDZ/wyEnhVCIwK6nnZkZXr+aXQfxSMVdAbrneSPP814G\nsATgJxzHeeHY+5+a1jmO833Hcd52HOftYrH4lS/4sYhqlSCytwfUamhVB/h328/if6h8Dw1kP+PA\nO1VrflaYWuQoqB/Pwj+tuvNugfjBr513RyFsVLJ4/cY0It0GnN1dvPfWCFeTL2Fv9Zvojk0R4Eol\nAu3zzzN7PDgA/uRPSHX88i+TZ759mxSEPFMmJghu168TDJ95hkB7cECAr9UIjOEwM+9s1jomSa0S\nDhMQT58mZ+55nCTESx8cWN9QmWCpn2g+z2sYDk3pUq0SKKemTKao6xVNIz277IILBeP65+etifZg\nYAvG16/bJPbhh6aS0ZNJoWBVquEwAV8WxeUy3wdMxphIcOJT27tAxvhIxRf6T/U8rwbgPwD4JQD7\njuPMA8Dh18KnHPM7nue95nnea9NPg7eyqgivXgUqFQxLNbxVOYX/eufvYRcLdzmIlC6fBrjHPW+P\n2wT4gf74r/jec9/3KzoDBzcrOfyocBKZSBvtW/t469/VcDN0CoXUKkbxlCk32m1mpmrg8MYbBLMX\nXqACJBzm72RtjaA2NkbAEj0i7xV1ABK/LTfMEyd43K1b1n6u3+e5Tp3iAqusc9VST/RM9NBjJxYz\n+9qZGWbCyr7VZk+qHBmIVatWINTtWqGUGlfcvs3PNDlpoC5lyvIyJ6dCgefa2OD+sRh/9jeTFice\nj3OMqSlOFBsb5mApf3a10dvd5cQZxCMTd6NymXYcJ3f4fRLALwK4AuAPAPza4W6/BuDf3q+LfKyi\nUqHMrFiEVyrjRiWP//b2r+Ainv0Cg3xe5iwaxQ/6MjE/rkrxc+PAF8vMv0jE78OYQKsXwuWtcbw7\neB4TeRfFWwd4+//dx3prAlV33EyvxsYIgC+9RPBttciH7+8TmM6fJ0UiCwaVusuid3HR3A+lHw+F\nuE+zyd/r6qplxuLWm02jS86d40Urk49Grd1bJGK0xZUr1mRDuvjRyIB4YYE/ZzIG9PPz5N93dzkJ\nJRIE5EiE1F6lQlDPZLgdsBZ0u7s8bzjMRfpSybzPp6Y4/uamTUAy+5qcNP15v28yxmiUTyahkKll\ngngk4m4y9HkA/8FxnAsA3gI59D8E8FsAftFxnOsAfuHw56c7/OXhpRLKFQf/y/rP4o/cn8Td6bTv\nJj5t0fN4VanCz43fz+j5zndvo9ECLl6N43riBeRW09jcCeHHb/SxWU2j1Ty0fVUThngc+LmfM7XH\n+++TFlBXnpdfJmDfuMHsMxwmmBWLBOxIxIqJajXr5CO/88lJvt9uc2FQGbyaTZw9S/C8fp1AmUjw\nuKkpa/NWr9MfPZvltYyPm/JlNCKgq+JzYsKKmc6f58Rz+TInDXHhwyEVOuLnx8bM/iCV4vUqS2+1\nOCH0etbfNJ3mBCWvdYDjzs6a6qVW4zGSMU5M8PNqfSGIRyLuRuVywfO8VzzPe8nzvBc8z/tHh9vL\nnuf9vOd5Zz3P+wXP8yr3/3If8SiVuChXKKBXOcAf77+Cf9H+u8CnLoJ+mTi+8Hmcdz++7UHHp3H2\nX23ESh145x0PxeRJxGfzuF3I4L3raWy3xzEoHTYNAQh+/T7wN/8m7Wm3tlhaL5BWgdDCAlUet27x\nuBs3CJqLi9bu7eCAIHbqlPH18bhlvo5D/fneHjPZXI7jnjpFcL18mYCfyfBnKUwAPhWogEk0hypR\nIxFm48p81VXIdUkfjY1RT1+vc4JJJs2aGbBMXdYD6bQpZtJpcubb2xwvHueTyXDI7aJewmFy7cvL\nVnDUbtt1yEc+GuVn6fUQxMOPoFL0XkWnw0WntTW4pQre3Z3Bb+7+KqqYvAeDH+fMgTtLBj+Lc9cC\n6Qj0fNGrd/jqH75chOEifMfq0S9zvfcmBkMPhaKDH7/topObQT+VweXNNC4Vp1FMLMFrHC5a9vsE\n4kaD3YW++U1mnm+8wewzkyEgnj/PjHx9ndm055FLBqwH5/Q030+nSafIO0al/FKkXLrEYx2HQC9d\n/GjEJwQVJUUiBG4V8Lz1lvH2Y2O2WNvtMvtVl6bxcQJvscj9fvqnefwf/ZHZ9KrxeLdrmXk6zWsd\nDKy6NR7nZxUtpIloYoLHl8tGvQjs5+e5b7FofjcAr2t1lccEWfojEQGg36vY32d2vr+P/X3gt2//\nCq7imXs0uF96+GmVpMdDxlnyevF7qkd9r/jhKwq5KbKJHXzHeb4zPawFVQe9oYfNdRcffOAgPjuB\nhpPHh7fGcKU0hebMaQKVmis3GsxgX36Zr06H4NpomDTv5ZfJfW9tkT7pdPh7VLMHKVwuXWLmvrLC\n92XTW60y604kSLXduGFdj1ZW+Gq3+XehTkmiWWZmCNZ/8RecZIZDswPY2uJkcO4cx5ayxfN4/hMn\nWCVbKNDOIJ/nk0Gzyaxf3H80ag1ChkOev9Xi/qr4HA4J6ktLZjlcrRr1kskQtNNpa6pdq/E4NeZO\npTjxadE0iIcWAaDfi+h02Ah4YwOdQhP/+/pP4//2fgFfjTf/tIKgzwtZA/irSkO+r36QPp7dH9ei\n+487CusPJxy0Bw5uX+3jypUhovk09ro5fLAxjhuFDAazSwSvnR0CTrVqLoxnzljJ+/a2aa5fe80U\nG1osbTQsI56Y4HG3bhG8sllbVFQ7vFyOWfHNm5xQRMksLhIMazWC+tgY95uYIOBOTjKzv3SJwN3t\nGo9/44b19lTGnMmQ2igWORk98wwnoh//2EzJlEVHIgbq4+P82XFMz67G23t7NnnNz5vcUsVEAK/j\n9GlOMqUS76tkjOPjvC+VCici72FN+EEAAaDfm9jeBt5/H+7OHt7YXsJ/X/9VHO0i9EVDCpa7/efw\nUyN+EP40/fmdvn9c/hFDqHWiuHzRw97eCIhHsVnL4oPdSWwVY/DyEwRM8d3NJjPQbNa6HG1tEXhz\nOS4ivvoqM+ZCgRluvU4KQxn71JRREdPTBL/hkMf3+1a8I8/xtTUCmxpWLC0x871wwRYss1mOm8lw\ngdRfo3HyJM994wazdBUBqSdos0ng/fa3OcZbbzFDXl3lNWxuWsNoeaTPzZnyBrD2fuUynyLKZe6T\nSvEzNxo2kYTD/Azz87w3zSavt9/nJLGyws+1vm6LpkE8lAgA/atGp8MM6dYt7GwO8Zvr3/sCevNP\ni+OGXJ8WdyNH9PPn/gpS4JMZOnCUnjn+/aMRIzgo1mK48L6Lem2EZjeE2+VxXKrMo1Z3CLSZDAF6\nfJwHyU1xbo5gqtZquRwX955/3jjr27cJTKEQM3d1DtrfJ7jK9VCyw27XKBH1O11fNyCdneXXjz7i\nZBKPWwFRPk9gvXDBSv7Hx7m/nBlPnCBdEo3aQqba7n3zm3zv9deZeS8t8ZhCgeCs/qHhMK+j1eJn\nkdxTHYvUqm55mWBfKPDJQhl3MsknAp27XrdKUVFMjUaQpT/kCAD9q8bmJvDee+ht7ON/3fxF/Af8\n5AM8+Z1K9Y8vlh6fHD5vAvAXI/mfFO6WankwhUsDAHvVGK5eDWHY81Aqubiyn8eV5jwGrUOb3XTa\nvMnz+aOGV+Pj/N2trzOjf/55AufMDMFNnYlGI2bK8oDp9YyaaLUIZGrdlkgQkOU5Lk49l+Mx6TS1\n8bUaQXhpyapC+31eS61m46bTnHjSaV6/FjulV6/V+DnOn+fxb77JCSab5UKv4xDQ1YUom+X5RiNu\nOzjgz/KNL5U4fi5HwJYrpELUS6/H99XlSM1DMhkCup+uCeKBRgDoXyU6HeDNN+Hduo2/2lzBP2t+\nD/erwMbibsFSQOwvQPqienQ/bXO3Jd46x/0GdQetfgQb+1Gs70TQPvCws97Fxf0p3O7MEXDm5ghc\nOzsE+LNnTd6nzkbr68zCp6YIjPk8wVQAm04z411fN/leLkdwk/PhyZNmeDUaMbOWeuXaNXtiUMn8\nhQv824nHTRYYixFgC4ct9zyPC52yDFBl6OSkNeWQFe/8PMfWWo6aU1+6xOx5dtZa9mlMTQydjhVS\nNZu8F8vLPF6NNwYD/hwKcS1iaso6Nu3s8D3p8DVGYAnwUCIA9K8St28D776L0loTv7Hxq6hi5gGc\n9MvQMMdlj2r2fKcXF1WdT9Axx8/7eYB9J1nlp8WX/zOstqK4thZG+SCGejOCzettXC7kUI4c+peI\n85bz4AsvEIjk4zI+TtCtVglIq6ucBM6dI/Btb3Of27cJ1PW6KU2iUXLujkNQz+ct811fJ4gDfBJI\nJg3USyUrSlKBTqdjnZPKZR4zNcXJoFrlZ9CEIUkkwHPL73xx0SasyUnzeU+neQ75uo+Pk4ZRZ6Ju\nl9c3GFgjltlZbldDc0U8ftRHXtQMwIkwk7Hm3EE88AgA/ctGpwO8/joG19fwv938Nv4a33qIF/Np\nXLo/Q/e/72/+7Pi+14JqGN4djcL8WdfdZvp3A+wuKJv84n+OIwClehS3b4fQ7EVRrMdw8+oQVzbS\nGKQO29WJ9y4UCPBnzvB7qV3Gxqx68vRpsxFQw4hazbxg2m2C9WBgGffeHoH45EkCp9rKbW9bwZBc\nGlV8tLFhxTrLy9xWq5k9QLXKcefnDTzjcePYV1ZMnRIK8drVBq9ctvZ6Gxt8b2Li6LqCrACSSYLv\naGTjbG9zX1nytlpHFzvn5kx9U6uRZnFdmzjabU56mnSCeGARAPqXjZs3gffew4Xrcfx2/T8FvpC/\n+b2K45SKth3dJ3SoLA9jgAi6iKOLGPqIo3/4tYsEukigj0Soj0R4gAhcRI74qwvw/ee90/k+LT5v\nAhjgy97D3iiE7XIUm3thlBsR7FaTuHIrhLV1h+AciVhhT6PB7FqUSbVq+9y4QYATWKXTrMx0HGtI\ncfMms9YbN8zEqtMh6LXbXDg8e5b7S5utQiLX5QQgPl2WA/0+j0mlOBGEQgT2UolfJVdMp23B8uxZ\njlOrWSVqo8E1gOlp82hvt0mByERMrpDZQ9dPadR1H6JRjlkschzXNRmj/6ngmWc4gajgSK6My8sc\nJ8jSH0oEgP5lotsFXn8dB1e38IP/n733jJI0vc7Dnq++yjl2VXXu6enJswm7i7AAAQILgiSOQEA8\nlCXTJuVDEjSPmI5lWzQVCJDHEiXKsmmKkg1TlGnL1PEhCUbRAMglkRZLhMWmmZ08nau6qivn8AX/\nuP3M7UHgzu7MLsjdfs/p09VdX3i/8D7vfe997nOvfR+qmHsNTvrNskW/kb9aXCcm7AMmvAEXXtjw\nwUIQY/gwgQ9jeDGBH2MEMIIXI3gwcnwY2SYcGDAABD0uQt4pgqYNL2wYsA6d+/Dve+EzH+HlxSB0\nkuj0vdgum9ivm6g1DVS6EVzaCKKxO1T/s9+vDJWVldtrhiaT8ntjQ9wuiYRquTz0kGqr1OtiWV+/\nLlbo3JyAIPVWmk3htq+syPc3bkgH/X6xsEcjAdD5eQHyvT0BQ69XArMHdWcRDCqdkKXwhkPp50Gh\ncZw/r9WWuBKo1cR6T6flOIahKwHXFcClrrthaDZot6sl9QxD+jQaaU1UKkyyxWJ6D1stFfeKRGS1\nQSv9SLjrNW1HgP5K2rVrcJ/+Kn77wir+CO9+jU76zfjjbEzpV7EugWAPnK97zCxhdziRiMWm5f8O\nDEzhwcjxYGj5MLINWHARgAfBg+nAuJXAxD7dC1AfQ9wvd9KUfeMAqDa8KNd8KFdMlCoGtvppXNvw\nYtroCmiRThcICPCQxtfrKa+80RCQPX1atm+3xRJ+9FHVSq9WZZunnxbwy2ZV34SJSY8/Lq6Jy5dl\ne/K/eQyvVyxgbr+/L6uG5WUBQgYiWVyCkr50l9Av/8ADuoIgO6XVkrqn4bC6e3Z25HM0Kj9UTiRz\nJhjUYG40KudtNGQiOlxF6XCB6IUFuTeue7tIF3npu7tHVvpr3I4A/eW28Rj43Oew80wFH6n+Xdxd\nAtHdNAY36adkSv9h2iG3+3r3iAEXJqxbsG8eaLh4YMODKTTb9HDW6IEVDz+mMOGBg6Axgec2YAfu\nHtineHk0yYO9XKBcM1Dv+bC75aJcdnF9vICdm2O4vb5axbYtYEixrFZLwIpaK+Wy+sjJZCkUNJFn\nb0+s5Js3JSmIXHJAJgum37/nPXL8Z57Rcm6hkAB5rSafIxEBVwI79dAbDQHbblcnm35ffmZn5fx7\ne3INp08rBTEQkFXGeCwWPLnmZKzwWKGQ9KndFms7n1fgZym6RkN+KCjGAOnhiXF5WQtl7+5Kf2ml\nk7VzZKW/Zu0I0F9uu3IF1pe+il+++C5s3DOtlpfbGKD82ozQw0lACnQmXPhhIQgHIdNCzGchGrAR\nCViI+SaI+qaIBi3EglNEgjZiQQNx3xRRzwhhcww/7AN/OptY9Da8GLkBOHDhgw3frUnmXl3jy20G\nOgMvqnUP9nsBbG3YqOwD18YL6Gw0BGQLBbHIbVvcEqTxEdRDIQGzjQ0BupkZzfycnwfe9S4BxFJJ\na5CWy5o1yqIR165J8PXRRwXkrlwRK340EkCnmmMgIPuNxwLQHo+4fNptAXT6zFlhiLTJSETFyE6e\nVBZLLicAeu2anOP0abHAufKgnjktb9cVoKdAV7OpgmCsY9rrqVuJiotsqZRY6n6/HJ86NPSll8tH\nVvpr2I4A/eW08Rh48kk8/RUb/2b4fd+CDhDIyVQBbrdk5XGasODHGGEMEUMfUYwQ9QwRQQdxu43o\ntIWY00ECAyTMPuJGD3G3i7jRRwJ9xDw9RL1jxANTxH1jpPw9JP0DJLwjRH0T+A3n4Kw8txdTmJjC\ngAkPTDi43f3z2ra9fRO1pg9blSA2ro6x001gY5THdH1HK/XQvbC8rGJV1PxmibadHbHIfT5xcdi2\nUPa+7dsEwPb3BWA//3n5zjAEYOfmBMSuXRPFx9VV+cwgp+OIq8I0BVANQ2mLpZJMMtGoWuCNhuq1\n27asDI4fF4Bl3c9HHhHAb7cFmKtVCcrOz8v5D2ueO45mngI6eRSL0pfdXfmOkw4nQCYz0UUFyHEK\nBQ2gUtyL/Hcmc9GFdNRe1XYE6C+nXb+O0Re+ip+7+CEMkX6NT073xzdK2xcmiw9jhDBGFCNEMEQM\nHSTQRtaoI+dtohgbYDY5wHy6h4V4C/OJLmZnppgvTjGbGqOQGKCQniKTsJCJThELThANWogEXUR8\nYyR8QyR9A2QCXWT9PcR9I/huC5Iat/g0BkyItf5aLrdlkpu6HlT2XbRGflzf9qJytY3rvQL2+2G4\n9YYALsurRaNi4fp8AurVqhZaDgYFjLJZAbRyWYD30Ucl5Z7skGvXRMmRrpJAQMBxe1sA9PHHZdK4\ndEn2p5sjl1NAn0410YeBzcFAi1vfvCnnW12Vc/T7snpgZmYwKKBuHkz0fr/471k+b2lJzrO+LpMO\nrf9gUD7v7clEl8vJRLG1pbz6yUTOyYSmXu92qzsel3tK4bLdXRUaC4ePrPTXsHm/1R34a9OmU+Az\nn8HvfDaJT+Kd34IOHGaT0K/twMQUPjjww4WJCcI+B7GQg2RiikRggkyoj5TdQNTqIOifwJdOwRf0\nwpmOYfRHsGHAicYx9UcxmTgY2yb6nhgGtg/DoQfdgYmh5cNg7MVo6GIytgHbxcS2EfLYiHgmsCYu\n+q6QH9XpQ5qjdfBj4s794q+02ZBX2kJr6EWsbcPnC+PF6xOkZ8ZYj+UQb1YRTdhiuV6/LmB85oxY\nnkz22d8XC31tTYpUkGliWQJYXi/w1rcKSF28KP/78pdV65zWdK8nx3/wQWG+fOYzAvLHjsmkkc0K\n8DHrstUSa7fRkN+xmLh7HnlEArAXLogWeqUiAH/mjOx344aU3qM//fnn1c1y4YK4iY4dk+OXSgKw\nhYLK6dISHwwEmJtNueZkUkCacrnNplj/vZ7cn3BYflNmeG5OjrO+LhNDsSh92tzU2qj+bwW9943T\njgD9TtuNG2h9+hl8ZOu/xreOc65A7oUFHxwEMELcO0Yu2sd8oovFzAgzGRupjAeJlIlI0IF/OIa3\n3YG/VoJpT+CJxGCkU8B4ArfdhjOaYur60fdH0LOD6Pqz6EULGHnCsBwPxgMbHTOB5jiIZsVAo+1i\n0AXGEwt+rwnLbyAwGcCyBujaQYwQPuRJ5ytm45srQN7LpiuGSs2DcMjAVj2OG1caSGZjKETDCLV7\nMGcymuCzvi68aqoIttsCvMEgcP/9AtbVqljETMUvFsVKZ+Ho7W3RUnn722XyT6dlQrhwQUD9/HkB\nNiYzUcMlnRawtCwB4GBQJoVqVUD32jXpE491/boA+Ze+JOA8MyMAX6nI9Zw9q+6WWEzOd/26XB/9\n3+Sh+3zS18lEVxfFogDz5qYc/9QptdJHI3FJeb1yj3w+uQ6PR86VTkt/trbkfkQi4kuvVOSc5O0f\ntVetHQH6nTTLgvvEn+F//7NjuI7T36JOCC3QAwtBWIhggNlYHydyDRzL9TGX6CPuHyEdniDi0DHu\n0AAAIABJREFUt+CNBRHIxuDPxuHLzMPnm4c5WINx8wbQbABxANlZwM7D2NmB0+rAHlbhTiawBi/C\nGkTQTc2jEVlANZ5GvTlBPh6HsxTDcAhUKzb2yg726y56Ez9sL2BNgIA7xsiaom8H0bcDhxxDrwWY\n394mtgf1+gQ+vx9XNsOYK/ZwM5FCKlxFOueKFdnpqL756qpWuO90BJSiUXGxPPGEgOOJE/I9s07P\nnxc3xM2b4uJIp8WFUy7L78VFcYvUaiLT+yd/In9HImrlMjGo25XtUikNSMZiAurve58A7AsvCHAv\nLQlwhkICqgTpaFTO02qpJszFi7J9Pi/9v3BBrm15WcGZPnBmlTLbdGdHrqFWE/cPufmTiQZMyfOP\nRGQyaDSkb/m8/J3JSN/b7SMr/VVu5kc+8pHX7GQf+9jHPvLhD3/4NTvfPWs3b2LrV/8A/8VzH8YI\nsdfopLcrHJqYIIwx8p4GziZKeM/aLt55qo4HjvdxZnmEhaKFlVkLhTyQL3owG+uhEGwjGx4iE+gh\n4RsiEbERT3sRC1qIWB1EYiZCywX4HzwLf9QPn9dFIBtHKOxBdFxDaryHnF3BQriFuYKNlNkVgPaH\nEI84WFjwoJjoI+i34fF64Vo2XNeFx/Qi6B0jZE7guCamLt0tX8tZf/UBfjAxEfE7mLp+BDBGNguE\ngi4SZh/eubxmZzabYl36fErvI8Vxbk4A7/p1AbRiUYN8waDsQ8u90RBABARcMxk5Rqcj4ExJXtb6\nTCT0WH6/ctBZgSgcVg2WBx6QPnQ6Mlmw5inB3+tVnrlhaGIPg5qnT+tqoN3W2qmkVEYi8r94XIW/\nRiPpQzgsx2BCkt+vgdJQSPrg9Up//H7NTk0kxHVTrcp3rNh01F5W++hHP1r+yEc+8rGX2u7IQn+p\nZtuwn/g0fv5TD6OFwmt4YoLdFCFMkPV0cSZbwf2rI8zPG1iYNZArRJDJ+xAPW4gbXQTHU3g7bRmw\nhiEDvtUCzAwQygKmC8R8wNgP9CfA7hWgd6AXct9JuGtJTNZ3MR3GMS5FMNnag9+2EeyVkLUrWJiZ\nxVqgi31/DzuDFLb2fEA6gPujffRsGzu1MLZvjNAauOhNvDAsDzLeHiKWH41hGPY3lfl9dYF9dx8I\nBA1cKscwf6mOaCyCbKSOQq0Oo3DIat3clHtRLIqF2m4rJfHsWckY/cIXxFIvFtX9kMmIa8KyxOf9\n3HMCvpTOzWTku25XfPeHJQeSSRXJikTEzVIuC9Bms7JdKCTnPHlSQPnCBdkmkxF3jNerzzoSkcnn\n5EkJdD7/vHy/uSlW88KCbDcYqN/c59Ps1EBAJpRUShktOztyj5hty8mDwmDBoExilFjIZuWnVJLJ\ncH5ejre/r1IFR1b6q9KOLPSXaltb+Oo//wR+4toPwn1NpHGVUx7AGDNo4ZFCCY/fX8dbH5ziTefG\nOLc2xcnjDlYLAxQSQ8SiLvyFNDyFGbHsyEaIRlUxbzwWaymdlgBZJiODmcJLtRqMYBDekA9+e4jw\nbArRXBj+UQeuC4zHBpxODyFngGLOxuySD8WMhZA7wGDsBcYT5AoGigsBBO0BAFvSlRxTCu34p3Bt\nBxP3a10v38ha9+Pe8dkB2/HAcG0Yphemx0UhMUYw7EHc6CGQi8t9sW0BQEDuGyD/Y3WgWEyUGksl\nAbhwWEvKjUYCUNGoANbhuqN+v1IfRyNlljSbas3mcnI+/k2qYCIhxyezZDAQd0q5LABP6iJ94YOB\nslZCIZksKhUBa8tS8TGeYzrV/Sm+RTpjLKbHnE7lp1hUzjzZNJQJDgYF0HmseFz6ORjcHiy2LDk2\nk5WO2h21O7XQjwD9L2uOA/t3/wA/9L+cwXWceg1OSHb3GGl0cD61h+98oIq3n2njsRN1PJjfw6nw\nNhaGVxHd34C3dlClvdEQIBmNtKgBfasEhe1tsR7rda0pubAgoMWCB92u/P+AA21EwvAWcwjZfUR9\nE3jtCaYjG6PmCIZpIrsYxsI8kE8M4ZuO0KmM4YaCyBUNFKJj+HyAx+PCsV1M4UUoaMCPKSaW8HNu\nv24HCuo2JAP33lEeR2MD4aCDKbyI+8eIpXxIBQaIeCcw81nNdtzfF1Cjtdrvy32ZTGSynJ2V+0h6\nYigk27dacu9CIXG9UFKWVjrT68djLe02mQjgMamn35dn5fEI4FuW+qtpUafT8txu3pRjzc6qH7vZ\nlOPSDRSLycRSKumk4PVKgHUw0EIcw6FKCzDImUhotqjj6GRBF9FhjXTWKg2H5Tc5+Tw3A6ZcRdAt\nZJpf95yO2jduR4B+L1qphM989M/xTza+D6+Nd8pGEEMcC9bx+INtPP7tHrzrLVO8+dwQp2e7yOY8\n8OcSsoRdWJDBFQzqQKLWhs+nBYJDIQmILS7KIOx2ZZCSU+33y8AGZIDV6wJMq6sCTAd1NA3DgM8e\nIWJ1EHCGcLp9DAYGrEgC2bkQlhcczPgacKt1tK0ofEETxfQUsaQJ03ABy8bI8sDj9SFgWnAnU0xv\naccAX+92sSBCXffGUndhwBrZ8PrEVTATGSAU9yPmGSAcM2XF4vfLvel2VdMkFFJaISAME0rm0rVF\nkGu35T7btljGtHrjcS0kHQ7rc7IsAUtKC/j9ApzhsKb5m6auIEgfXFuT/XZ2VCHRNNXvHQzKeen+\nqNXkefP42azEC+p1LWvX78tv25Zj0ZU0ncp3dK/MHGj+TyayL4GefnVa+DQa9vY06BqJSF8MQymP\nR+2O2hGg321zXUz/+FP4/n95GrtYeg1OOEEObbw1v43vXruJ78g+g3fgSZzpfwWp7hbM8VADXM2m\nDAzSyNpttc4pvUowNwzZb25O/MCBgFqgBH+vV8ABkO82NuS7Y8cOujbRAF+/D7PfQcicIIQhHNtF\nf+KDFUthZjmC1WgV8UEFvbEfnZEX8ZSJwowLX9ALr2vBtl1Yrh8hvwHPeIDRgf76oRuP2y11L+68\nWtJL3GHHA687hWv6EAw7SIRsZGIThDwT+BJhASAGE+knTibV9UIrfG1NA6CGIUCYy8nfDKIOh7I9\nJ4J8Xu49Lf9uVydSTqyzs8qyIY/ctuUz92m1ZIJYXhZfPDNDWbii29UVFyAgyqzTwUC2c119trWa\n7Hc4UEqNdfr/KRkwGOi7RH13JkVxUgmH1U00nUq/SyX5PpOR/TodLZZ9ZKXfUTsC9LtttRo+8Y/+\nHL908wN4tRNqfRhgLVDFd829iPfnvozvDH0eD5oXkDGaMD2uDBzqgNBfGYuplRMOCzg0GgIgnY5K\nrHKJX6vJoFpZkf1ZQceyBGxmZjQdnqXZWAyBNTO5/2AA1GrwWBOEAg6CXgvWcIq+NwEnX8RCcB/L\n4So8oxEaHQN2OI6ZjI1o0oDX68K1HAxtDwyfB8HJCBNXmPXSvtZSv5elzAw4YxeGx4HrmpjNTREI\nm0igi0jMAyMWU00WVu6Jx9VdUKsJIK2tCSBVKgqQDAhWKlrPdH9fQI2BTfrKyT3f35d76rrqTslk\nZNI2TQ2kAlr9aH9ffs/OyjnIZKHsbTAoz1/8XTJRUNpgd1cnhmBQniXjK8mk7He4kIXXKysHnpdc\ndRbHpouGbBzuQ5dPr6dyv82mXD9XQdzuyEq/o3YE6HfZpp/8M3zvL57BPmZfxbO4iKODh8PX8aGZ\np/A9qc/j23JXMbsSgHdxTgZtMikvP4sLMBHEcWQQ5fMSHLv/fvnt9wsYmObthRfIVmi3ZRC5rrps\nqlUBk7k5DWKx6nylopY8q9wsLSn9rt+HGQ4i7LPgG3UxCqXQjxUQGrdxIt9Bxm2g0wU63gyiARvZ\njAfeoA9ee4SJ5YPlmAjaI9iuAes1cGtZMOFObMD1IBh2kUk4SMcsBN0hAomQWrQE8MFA7gXVCctl\nuQdra1o/lFZqNCrgyiIaBGT+5HIKdjMz8ixqNQHr4VA6mEyqYFcoJODHRk32SuV2YTHqnnOydxwt\nZ8fgbC4nk3S3K9uNx9IHCmilUnJeThCuq7702VlVnQRklbCyolWRALW66U7hO8uVw/a29GlmRt1J\nsZj0zfPqGkyvh3YE6HfT2m381k99Gv/b1nfh1aPUTVBEFe8Nfxl/Z/ZJfODYJZw970VwpSgvOJfX\nw6EAQDSqA4DUsWpVBgo1Q5JJoZcVCmJBpVIy8OkTHQ51ME2nam1xWc2Aar8vjIbZg8ms1VKqm23L\nsfN52b7RuMXy8LpTRAY1IJNB30xg3J2imHdxzNjE1AIaRgau4yA34yCQjMLvjGBZBia2Ca8zhePY\nsG5JAL96zXI8MB0Lrg0UZ1yYXiDt7yMSMeCJRgSQ/H4BqUpF7l2xqGBdrUocI5OR58TiEeRwN5vy\nDItFXSVx9UP9lkxGzkN1QqbhM4sUUOnbRkO25aRKVwzlATodpQ+SDkhVRVIrWaFoe1tLzXk8Wly6\nVpO4zHAoAE9AJkuHbhtqvvv9cn2Nhhy715O+0fVCSYB+X97ZXk/fUdIk6fqje+iofdN2p4D+klOj\nYRgLhmH8uWEYLxqGcdEwjJ86+H/aMIw/MQzj2sHv1L3o+F+FNvzcV/Azn3sXXi1g8WCIE1jH30k/\ngR+974v44PsdLL57DZ7ZgrITVlfF6j51SiznfF7AgPUcH3pIKGwrKwIkly8DH/848IlP6IAHZACd\nPi0W4/KyJsHQSrt4UQbo/LwMssFABhoH3/HjEgjM57V82cWLst2ZM9I3170V5DP6PcRvPINs2oGR\nSaPeD8IszuDxuSv49vyLSEQsOBMH89kRTj8YwpmTDhaLItsb99mIYYh7SVn8Rs2GB61RADu7Hrx4\nFdjvhbDX9qOzXle971xOJsd4XLRShkO57wsLAlJPPilAtLqqbgMGFxMJdSssL8vEGAqJOBcTg0ol\neZYnTsjfoZA8l1JJwZirIbo6KPlLjZedHfmuUJBJgAymw6spTgDDoTyvQkH95Bsb8jzn51V7/fx5\n6X+nI/eiVJLPhYJY10wkunpV+hmPaz3R/X1dFXIiYfHptTXZntm3Pp/0i0lPR+2etDtZ61gA/r7r\numcAvAXA3zMM4wyAnwHwhOu6awCeOPj7r3/r9/Ebv7iJTRx/VQ7vRQ8P4zJ+ZPlz+JHv2MU73hdD\nNO6RF3s6FRA9c0aAPJORgdbryXL56lUBBP62LBlob36zCECl0/LdJz5xyx2CS5fkJxoVYD9/XosY\nExxu3pTBtbKiSnpkw5BSd+yYfJ/NCphfvSoW27lzWqQhELhllflffBa5rItIyo/e0ETbl8W5ZAnv\nP34Ni/EenN4YqaiNU/cFceKMH8cWbUQDU0T8FhLmBPLavXryuyPLg87Yj8uXgJ2tCdZrMXT7Bibl\nQ6CYz8uzACTlnok/hYIA0wsvKP2TvnDSQMk4mZ2Ve8bKPky7p2bM8ePKRKEPnpmbXJnNzip1cDRS\npsmLL8pzSiSUCdPtarCSQEsL3DRFJIwZnYBMVlxNNJvyDE+flmORdnjjhpz3xAkN7I5GovHOgCwT\ni6pVee86HTl+NCrHCYVk8u/15Du6j8i5P2r3pL0koLuuW3Zd96sHn7sALgGYA/A9AH7jYLPfAPDB\nV6uTr2Xrf/ECfu7Jx/BqWOcRtPB48Fn85ANP4gffu4eTi2OY9YOsQfrFd3YkG/FznxPA2NsTC7rb\nlc+sFn/1qliJf/EXAu6mCbz73aLVHYmIxd7vyyDqdOR4zz0noPHWt6omONkGGxuy3dmzaqFfuSJg\nkErJYJ2ZEWtudlYAg8Gukyel7/v7mj4/GMC49CISSQOptAHLDKA2jCDnbeP9D5ZxZl6yEINBB2sn\nTZx8KIZTSyMk/D0EfTZinilEU/1O2it7Vj3Lh612FJcvOWi2PdiuBNAp9TQRJxYToDt+XADx+nUB\nc1rNzz4rzyWfF0CjL5g+aLqomH0ai8n9unlTn2UoJJPGeKwgvLOjKymvVybSUEjORbcYfd83b8qz\nT6c1u5Ml7g4zdajmOD8vkzO58LWaTDCkFVarMkkT4CcTES8ju4bSw8GgGBnkwDOwypJ+LFnn88m2\nliXX4fXeXqS6XlfK5FG76/ayohGGYSwDeBDAFwHkXdctH3y1ByB/T3v2rWjjMf79L6yjisV7fGAX\nSdTwXcGn8FMPPYkPPbyDnFWGsXdQ6oz+RtsWUPB4VEckGpUB9thjYl0VCjKAo1EZFJOJDKwXXgA+\n9Smxqs+dk8F97ZqA/0MPydK/0ZBUcAozsawZS6FduSKDmG6eblcmDctS328sJoDG1QP9xwyc7ewI\nAIZCYoGVSghhiFx0CDMWRqPlgWfYx3sfaOCRlRq8/TZMj4tjSy5OPJrCqVULuUAL4YCNuOkAmNzR\n/b2d+nhnbTIFuuMgLtwMY/dKF6VuGM2OB8Pdg1JrDAqeOSMT1YULcr+yWblHg4GoHvr9CnSWJc/S\ndTU5KB6X+zY/L/eFlX1KJflZXBQrn0WaaaUTxONxce0wc3MykWMZhqy+ajUBTSaFUYOFgl+JhAp4\nOY648liEOhiUvvC6ej0B78cek33o/798Wc5bLMp7Q+XJS5c0EEv/P/vPuqXRqHzv9cq1MpAbDKr8\nwJGVfk/aHQO6YRhRAL8D4Kdd1+0c/s513dtrnt2+34cNw/iKYRhf2Sfl6q9oG128gY9++k33+Kgu\ncqjib2WfxH/7wXU8/g4L4cxBss/998tApcU1Owu85S3ABz4AfPCD8pmZgoGA/P23/7ao/3ECyGRk\ncGezMvA7HRm42ayA8NWrwCc/qYOJ1hSBIhyWwUbe+o0bAixzc6o++PnPyzbZrIAIIP2nFCoTYzIZ\nGeDlsoL6cAjYNsxmDVlPA6FUEJ2Wg0HXxtvO9fBtJyoI2z2pWrZo4MSbkji9PEbR10DY7yDmA+4M\n1F+ZH3Y0dlHuJ/D89QAaWz3s7HnRbUzhNlu3C1Pdf78A/NNPa7B5dlaogFevatFppsx7Dxg7e3sC\n+Om03K9YTJ4bC02vr8s9OnVKLXSPR/7P4Gi7LasgFpgG5LtMRlcOLISRy8nz7fV0lcAsV9uW/mYy\n4laZTOTHssQooFhYvS7nOnlSv79+XYA6EpHvKLq1tSXbcwLP51UKmLISfr/0ly7CYFD2icXk+M3m\nkZV+j9odAbphGD4ImP8/rut+/ODfFcMwigffFwFUv9G+rut+zHXdh13XfThHHu5fxWZZ+L8+chk1\nzN/Dg7qYxS5+IP1J/PT5z+KR7mfgvfSCWme7u/ISr6yIVT03p8lDwaAMukceESCmP3xvT1wmH/qQ\nFuJtNpWREInIDwv4nj4tA+3JJ2V53u8LYIRCMihjMflhIG0ykX5RS2RpScD/q18VoKKO9nAoA7tQ\nkONZlpwrkRA3EAsee72yXywGY6+MlNtAPOPDsDFEqwXcd8bFe8+VkfJ3MR05mF3w4sSb4jixPEIx\nUEHEN0XkjkH95TfbNdAfm3ihnEW57GK/YmN/38Wg3Jb7SnpnLifXV62q75g00UuX5L6mUko7dF35\n3WwqFTQUksn3sOW7uysrpmRSnjNppcwpSCa1UPTZs3I/qQkzNyfvyfXrcgxmrXLlNRrdbg3ncuq+\nW1tTF0kopBTKdFqrMz38sIA/IPs995y6VpJJef8sS6x3inXRhUcXT6cj7zglgk1T3kvWMvV61T3D\n2MFRe8XtTlguBoB/B+CS67r/6tBXfwDgBw8+/yCA37/33Xvt2mSjhH/8h+fv4REdzGMTP5z4Q/z4\n8T/DKecSPOOhLoMrFRmEV64IWHJJm0zKYL1xQwbQzo4AJqlfFy8Cn/2sfH7sMZkI6HphliEzR30+\nAdWHH5YBVasJIF2+LMcNBJT6NjenFnepJP1zHAWpRkP2cV21uPp9GcCFgq4Yzp2Tz5//vILOeKwu\ngZs3EZ02kcr7Me2NUS9PsLrqweMPNDET7mI8cpApBHDqgRhOL06xENxH1G8hahq4M1B/+ZzmyQSo\n9sL4wvUUGg0X5a0p2i1XrPR+X+5jJCJBwXRaAJyTG2Vsn3tOntPMjFwnA6PMvA2H5T4yKccw5BnR\nSmdQmqn4tNJNU7MtqWnOxCDSH3s9eV8GA6VYuq6A7WikPu18Xp7X7q7058QJfR/DYZlgHEcnEY9H\nVya2Lf3Z3JQJIBTSADGNE74D+QPvKxUru12VBaCkbjyuMgfk6XNVcdRecbuTt/8xAP8lgHcbhvHs\nwc93A/hFAO81DOMagMcP/v7r2RwH//HnL6F6z6xzBwvYxo/PfgI/9vBXsZxqwwgfiGUx4cMw1JJr\ntWSwfPGL4pMdDmWgRKMySOh/XViQgbSxAfzpn0pJM6ooMqmDvsp2WwB4OBTL78EHVajL6xX/+lNP\nyfdcOa2uyiCPxWQpXS4rSDmOgA8VAQMBORYpd9msHNc0lSXxhS/I/1Ip2W5+Xvp56RJCoyYyWQPO\n1EatNMH8rIv3vrmH+WgXE8tAsuDH2n1+nFoaYSlcRSToIOy5E1B/uct2F/YBhfxKKYNS049a3cDe\njT769ZFMgrQwQyGRxbUs4Jln5FrI1y+VBOwCAXWv0IXQ7wvg5XJab5QyDeOx3OutLdmWafVUbiyV\nZL/JRCbZhx9WHjf1VqJRMQ7W1zXOkUoJYDqO3HtayksHMhaVirxP9JsDqkHD9P1qVSaZ2VnNCP3K\nV2SSoF9+bU2u4+pVDbQGgzopHKYmRqOqoT47q8lvFCOjCNlRe8XtTlgun3dd13Bd9z7XdR84+Plj\n13Xrruu+x3XdNdd1H3ddt/FSx/qr2qxqA//D/32v9FpcLGAbPzn7R/jhxT9FwdpR8X/6yY8dk4FF\nsSRqftTrMrC//GUFdtvWZe773gd8//cDf+NvKFOBKfpctg6HYj1SInVzUwbp4qJYW8wwLRQErJ56\nSoNqg4Ec98wZtei3t5VF0WrJ36TTRaNyrv199SEzUWRpSfr97LM6Me3vi9vA5wOefx5+e4hsRtC0\nVp5ipujF42/pYjHewdQxkUh4sXbOj5PFIZZCe4gFLQRh4M7ZL3fSJCYwmgCNgReffTGLFmLYL09R\n2xrAaR3wsU1T7gm5+XxW4bC4EAIBWW2xkAULLNu2XG+5LBMBpWQZy2Dgk0qYlNp1HDnm1pZsRz3x\ncFgm3vFY0/uTSfl944ZOQAyasvA0k48CAVVonEzkWKSxJhKyLWuoTibyfE+f1ozOUklWiZzQ83m5\n/kpFXYicaAIBrZzEVYXXq9LOdO94veoKOgqO3lU7yhR1Xfz2P34a//6LZ+7J4RawiZ9K/r/4kfwf\nIxUWpULMzIilc/68LNFnZ+WFn51V1UQCN3nM9LGS+tbpyAArFGQALSwIKHBgWZbKAnC5b9uqlmdZ\nAuq5nAw8Lte7XfXbEnyYQNJuq1Qq9VyaTRmY2axMGo4jE4rrygAliLFwApUFZ2Y07ZzL9EoFnvlZ\nBJNBDLsWBj0H6WNpFKM9tBou6uMwwsYIsYwXRn+A6djC0AnBskzYsPFKmC1/WbMdYDT2YrEwQCzl\nRaBVQzwfRNB7kB0bDKoQVb0uIDY3p4HO3V25R7Oz6lNutzWt3+dT3jZBjJomXOlQOXMwEBDlNvPz\n8nk8lue/s6MVh4YHwm3MACZFkrIPtK4ZfI9GlQ9O18fhzE2m5TNhjPo2o5H0od+XPhD0GRylqiKl\nm21bE7UO68fz3fD5VJp4OtUYAL87arfaUer/HTan08P7P+SgjeRdH6uIdfx0+Dfx4bNfROJkUdwX\ntHiLRRlE5bL8UDPbsjRYlk6rRTUeqyhXsyn/K5VkCcuiCPG46nFzAHBgMA2bVjuX38w4pVojCwA7\njup6s1oOMx/p7wU0aEvNk3hc/re9rYJfkYjsy0LCbJSiZcWaWg3odODJ5xCK+Q7yTFykF2MoxIdo\nN13Ue34EYCGe8cPpDTC2bAytACzbDwcO7qVwmusCjuHBaGTg9LkAAlYP/m4TyXwAHv/BqoRgGwiI\nC2o41JVJrycgz0pEfr/GNDgRELAAubfDocrvUmUxELg945PAS1mBREKOvbcnnynuBci5yFbJZDSN\n/7BWfiAgv+t1ec9iMc0mZXWlTkfeRxbkCATkf5SP8HjESBmPVcNmfV36nM3eLulM3XXKV7CMHX96\nPS3AkUqpauNRu9XuWer/67390S9fxdY94J2nsYufiP42fvTdNxF/6LhYw/m8vNQXL0qQ8PJltbgY\nWLIsGVg3b8pvshEATdIwDHWlXLsGfPrTEkil9kehIG6A1VUZkGSW+P3yHTnR16+LWyAQkOAlfZpU\nxqO+940b8nl5Wa6B7iICe78vFiJZIMePy3mZUWiaGmTlxEJetMejrgVqcl+9CtNwkIlPYVoT1CsW\n0rMhvOPRMRZmxrAcIB4DTp/34/RMB7PBFqKBCcxbhTHuXSBtPDZwcy+CixdGaMeXUG950L5Rk9US\naYxkB83NyaRUqQiAz8+r64OTZaEgADseCyAOBlpPlHIKg4Eck243CnNNp7LddCqTOYGV/m9qqFAR\nkwDJpDJSGzlR7O2JRczJe25OM0LzedVcT6Vkm1ZL/fXhsLzTnOivXJE+hcPSv1On5B7s7Kh7KRLR\nY5FFc/iafD7ZJxbTd3x///YiIEftZbU3toU+HuO73tdDy707GZo4qvjx+O/hJ972LBKBkTIL9va0\nIPBhq206vT1FnDK41JBm4HEykWPU65qwQqlcJvRYB1V9qKtBC2g6lT7EYgIqFPoirzgeV8uQS/bR\nSNwFnACCQek3XQaxmIpFAdJHj0eBa3v7dplU+lAtS5NPmDZOtgwgg9224ZnJIeh3MJyYGDhBZNMu\nUjEbrbqLRs1FKBNA3DfBdDTBaOhg6IRhOZ4DOL83mb2uC7iGB9ORgZNrDoJhE2aniUx0Ak8oqBY2\nqaXdrjyfRELAazLRTM90WifN/X0BdJYBnEwE2AYDOQbdFP2+FoyYTPQzVzaJhNwvVkuq1XTlQBGv\nbleeK1dj1COnO47vIfMEOh19LzlB+HzyLFnYmrowdKfRBXjs2O0Bz60t1Yen5C91+xnZmHmlAAAg\nAElEQVTATyTkGCyVyBUJXYMUlDuS1r3Vjiz0O2if/c1NrNt3Fwz1o4UPx/8TfvLBLyDlHtSJZPUa\nihTVavKib24qVSufFxBkJRu/Xyyg8+dFdOv4cQksnj2rlV6uXJEfHm97WxNHRiP1kzKzkVmJgLh/\nqJRXqYjf+6AaEXI5mSx6PVkpMOGo2ZRryeV0+T8/r5K79bqcn5VvHn5Y+rG+LsdOpcQKJBAwNZ7s\nBjJugkG5X1tbMGEjGx3BsC3Uu37MznnwlrcYyKdHGNdHSCwmcP7EFCcybWT8TQS9zGm7d1b6YAjc\n3I/iK09P0Qvn0XLiqG0NNKOSlq9hyDNjuj4pg8mk+NNrNZkhikVlCm1saJDc41F20HCoJerICqF+\nC2ucbmyo66LVkucSDmsVItaQjUTkXWOVopkZtYwrFQF+Mq3m5tRISCblf+Sj0y1GIbdAQI5VLEqf\nSbsNheT7kyelT5WKrFII9ImE9H84VA35cFirHoUPiotwNUB3II2Vo3bH7Y1roVsWvvd9VZSH6Vd8\nCBNd/FfeP8TPHPs4CnZJCx2wOsvcnLgtFhcFvBMJrcEIKL0reeC/r1aVpcD/M9hIlwdrQVqWbE+L\nhgUHGHCiCt7ogHqXz8ugr1QEMJgBSaA1TflM1wvpcLSuCOhcJdDijMdVzjeblWNRU5t+31ZLXTuA\nlljz+zVmQPbDdApPNIJgRKz04diD2byDkN9BY3eAzsSHWCaIqKeLccfC0PJh7ARh3eIv3xtL3XIN\nwDawnB8gWojDN+wigzo8oYAyODodZZJUq3I9zJTkyoz1NKkfT8EzpvrTWu125ZisbcpSdYyxsPiy\n368rJcOQ75h1aRjyXOiuaTblPDMzMsGw3OB0qiX3yJSp19UNwtqjlFWmqwfQEnUMuI7Hcs1+v75P\n5bL6w/nOsyA13UuplJbYs23pM2UHXFffpSNpXQBHFvpLtmt/UcPT9YW7OMIEf8v4JH721O9hLjlQ\nPQ6mRTNhg1l+oZAMLFrl1DxnGbF4XKzz+Xl56a9cUfEsr1fTulmphnz2CxckC/RwfUm6VnI5WRJH\nIsITDoWEj+66khzDACgr27D4AlcAliXXROYDS5uxH8OhWGm8zkZD7wEplX6/XBMgx6bPltmMnMxY\nmceygFIJ3ukQmYxcZqPjxdr9ETx43kZi2sTUG0R2KY4Hj3WwEttHMjiA7x5b6ZMJsFkL47kXDPSd\nEFqBHCrdkPinyQGfmZFrKRQEzMplAa25OQFDpvczJX7xIFZz6ZL8Zup7Oq2THIuTUMaYOid8Nkzu\nolohi5QMBnJeyj9QqOvSJZ1oGACt13XlBkhfacX7/XJtzaZ8TibVyKB7hMlkwaDqvPCmHTsm3/V6\nogYJyLXF43JdlAg+HCfw+TTeQxlgBmmP5ABeVntjArrr4r/7sRqAV0qNsvEefAH/5MzvYTnR1nR4\n0q6WlgScT51SBgQgL6/ryovN7ENqf+ztCQDSrUFWTKmk6n2AfE+XCOmDpZLwva9dU2uaPlHHkVVC\nNCpBUY9HkmN8Ptmn0ZD+stYorehOR8C60xEeMhNVKOh0/Lj0fX9f61iWSlqJnhbdxob8HY3KID6o\nS3orc7DfVzChmJNtA9vb8I26SM+FMLUMtBoOzr8zg/tX+/A3KrBDURSOhfDAXB3LsSYSkQl8t4Kk\n96a1Bx48vx7D9ReH6Jop7HsKmPbGInDGLFqyOebm1H8eCsnERouZzJe1Nblne3vikpibkxMxMGjb\nWvaOPmbX1SIiVCgk35t01XxeU/hXVmQbukguXdIsU/qsvV5dqQFyHAZZRyO5LrpH5ufVhUhrnnrx\ndKVsbWlN2lBIJq5QSJUlmRyXSMg92dtT3z/fa9eV9yCb1SIbZFQdtTtub0hA31/v4fcvvNKsUBfn\n8AI+kv0YTpnXtfzYeCwAPT+v2ixve5v4lefmVIN6PFbqV7Wq1gplRkcjrQlJ65V0MfLTyaDgYCDH\ne3tbBle1KtuQ8TIcKsiycs7p0zKQv/QlGWCrqzox0cfd7wsgd7ti2VNydzCQYx8uWuA4ci/W11W9\nkQCxt6eVcVj6jLKrlqVp8bWa/J8l4DY2EAgaSM2FMZ4Y6HZdPPTOOM7la8CgByeRwsqSg3OZMubj\nXYQCU+Aegvp0Cmw0wnjxmgetLtBFFGVzTgB1a0vuE1kf2awAIdPdZ2fF8u71dBXGcoEej0gFTKey\nDYPmDGjTxzwcagUpqj/yGbLikGXJvvz/woJOvrGY3P/nnpP3gEyWQECOt7urF8t3l4F5qjbatoB3\ns6ka6nTBzM5KP9ttee70/S8tyTO2LLHSGQxn3sTBhH2LEkk3Dvn2jNE0Ghr8P2p31N6QgP4LP7kD\nIPCK9i1gAx+N/ioey1xWpsjCgiggHjsmL+CzzwK/+7vAf/gPKj/LikGLixK0fPRRsZSXltQqZkUa\nJoakUprkQzCcTmUpTYuJwaN0Wtk1jYby3YtFtdYzGeUsBwLSX8cRyYFGQ4Ja1OFwHOWvX7ki53j0\nUTnG1pYM9vvuk+0bDQFtAkippPoyMzNako11NMm1JrWt3ZZJLxCQCaTXU678iy8ilI8jNhPCcOTB\nJBjHww97cCqwDdvxwC0UcG6+jXPJCmaTA4RMctPvDah3ewYubUZx6XkLPSeEemAWYyMgqf/jsdwP\nBgVZ6IIW9OKiyiNsbMhzYOGSvT2hszIgTeYJcwEoE0HaJ7XnKaS2t6eGgMcjz5+GwOqqsmQoC3D1\nqgAw9VRMU47XbsuFGoa8K1RrZH7C3p5cl8ejxgD93iygHQppINRx1L1IWuXFi0rVJYe+Xpf3hO5D\n+tkLBXmnWi05t2Upy+qovWR7wwH6oDnGr/yn7CvaN4Z9/CP8a3wg+SSMaEQTIKgLfeWKvNh0i/j9\n8vdzz4mvmwUKqF+xvCxa5Q89pFYNA10LC1pMgSBAbq5pqh+UAUkulenW4bJ1Y0P58I4j/WL9y3BY\nztPrqULiiRPK3Oh2NTuQ/HVa6uvr8v3b3676MvW6WFjlspw/ENDAYLUq/ZhMBKhpsdNnyxJvk4m6\nhhIJAcebNxFbSB5I79rwzhfwpjNDrPh2MDXDMLIZ3D9bxalsG9noED44EEv97i07ywK2mhFs7HhR\nr1jodh3sJU8L6D3zjDJVKF87M6PMn0xGKYoEsGxW7rFhyMTPKlWkecZictJWS67fsuQ3qwCNRlpH\nlM+dejmcTI4d0wmeEwMt5Xxe3h9AE91YAi4YlGdAVgsDtCyUTX8+dYho9ZNXvrsr7zsgx4nFZJub\nN3VVyfwLx5Ht6UMnqDNhiQwtssWO2h21Nxyg//Iv7AGIvoI9B/hx/Br+7vJn4V2ak4HLWpGhkFrr\n4bAyH+Jx2Y4UwIsXZRBfviwAymSjw7rblqVL6rU1AdfjxwVIV1bUh8kixltb6uMcDqUvLPlF9sXO\njg54MnGYth8Oa4LMM8/IAD55UiYSJpdMJlodJ5cTKmUwKCAfj4ulPp0KEI9Gsu/WlnKWOVGNRgIM\nzaYM0mPHtIjwdKrL+EZDrD3KCxzco+RCDP6IH62OB+ljKdyX30cx1MI4nkEw4sXDhS0cnx8hFRnB\new+DpO2Ogcu7IVx8wUZv5Ed9HMUwnpdJbG9PRbf6fRVQYxYpXQgU4XIcuX+Fgmxz4YJm/KbT6ptn\ndiljEdGo3Le9PfkfmUZ0SZAxxVR7unaYRMTgJYtTMzhNZgkbrXQGSCnYxfeYbhiykoJBtdJ7PVkJ\njEZqpScScu0vvKBWOoXOmk15NyMRXTUwqFwsyjvJlQjdPUftL21vKNqiM7HwXe8fY4qXS4Vy8J/h\nt/A/nv5dJJaSMihSKdW7IKDW62rVsroMU+6pwheLyYvLtGjKizJln35lZmLOzSmFMZ/X0m8E5sFA\nE5XGY/WDk+o2GMh5yIzw+eT4FIo6nIZdqSizgclIpJERlKgWSDW+RkNWGJTcNQyZEKgR4/fLtmRi\nkGUxmaiAF1cs1Cbp9QSAslm5180mMBrBWF5GMGRg2BxhaPkwG+3C6Q3QtGPo22HEpw1EIi6a4wg6\nAxOW7YN7y1p/5c12AAt+ZEMDzGQcxCIuzHwWyem+XD8zRFstFbFi8lUqpdfIQiXFonxmfOL8eQ1W\ndrvyjKZT+Tw/r6n2lF9gfIUJQYahzKlaTc53/LjW9wwEZF+ugjj5HKajkk1lmvK8mczGhCQG4RsN\n1dN3HPXJDwaanEbuO3nlk4lcCycFcuyp185qWICOFdMUkgAptEykeoO2I9riN2i/8+sNDF6BZstD\n+DJ+4ewfIr0QkZcrn5eXk7olzLoLBJT/e5jXywAmJULzeRmoy8tK/2q3NeEnmZRBX6mI8iIpZvm8\naKA/9pjyjpNJDWDW62KF0aUSDKo2R6OhtTLjcRmU7bZm5dG3ee2aim2dOaMKfBSG2t2Vz7OzAhoM\nnL7lLXLcjQ3pw333qeQudUFoMbJeZbksKxAGYk1TNdRJyTRNudelErC+Dk88ivRSDI5roG0kcX5l\ngDP5DvxRL8b+CJZCDdy/3EExNUTAM4Vxj/zp3a6B6/U4rl6x0el50GgZGOaX5V5cuyagRJEt5hww\nqDczo3onGxtyz1jmb3dX3HXhsNz/TEb1Ycg0ocssHFbmEydoGgTkd2ez+p5RX51A3W7LyocZwI6j\nkrWUcQCk/1RCJJOGaozMTWDuAJ8bee3TqQBxqyVjgrVKHUesd0D6FItpQHV3V2UwaIQsLckYoYY/\nJ4yj9pe2N46F7rr47rfvo22/PHdLBtv41eIv4825LQGsYlFeUFrmlC+dmxPL9L771MVAiVIKaJGC\nxtRtQANixaJaqUz8iUZlQHc6OilQyItytFTGY7IR/bXchpz4TkcGHulu4bAKNkWjmthCMEilBBw4\nEdGqYmJUJCL9tixxJfCayfJgpftKRf6m9CwzIpmYQnU+BucAOY5pakYjKYHtNpBMwkwlYLo2+h0b\n5mSIfKSHoSeKSiMAYzJEPjHG0Iyj0QSGEy8cmBD3yyu31C0bsCwT2dgI6egE8ZQXZjyKVOggcSuZ\nlOuilU4+NTM7uYIiv5xW+vq6PMMzZzTBhvfC7xcwW15W4KVOj+MI8DIuQ1++aWo25vKy9I1AyNR6\nZpUOh1qKkNmrtI5ppZNmSwOB/aO7BZDvKFUB6IqQxcR7PV2xHn5v2CfSWZm9yvvgujIBUhk0EHjD\nJhodWehf0158eoitSf5l7WOgh58N/jt8R/GSDI6VFXlxy2WxNnZ2VDWx3RZrdHdXhf8XF+VFXl9X\nKzsc1iAj1fY2N+U4uZwwFCinGwqJddbpiP+amtH9vvjU3/EOtZjox7VtGYjUUye/l+nik4kG1xhE\npe4IoNmkW1uy/cqKAAf94d2urkBsW/zgMzMy8BjIHQ4lEByNyj0Yj6X/FJAyTekvRb6yWVWaPBx/\nYAHjRkP5yQcJT+HZJMLpILpuFD7DwrnFDlYWbUw8IXitCd5yrIq1pcmBiNe9Ybx0+h5s7EdwY91F\ns+Wg2fFgEDsQ2GJNTq62WOmJLgdqoHs8yuQ5cUJAb2dH9qfFm8sp7dQwJDaxuKhyAXSPURZgNJJn\nwpVQLieTvW2r9EIkopK9zG1IpbTACuV3CbQzM9J/+uAtSxlKhznzlK1wXVVK9HhkHFSrsj2ZQIAw\nbiYTzdmIxXTskMLo9cqxjx+X979aVc3/o0Sjv7S9YQD9v/mhMl6ehWbjh/Bb+NG1z8KztKAFHy5f\nlsETCNyuFMcyX82mDNhKRQbW+fMykBsN2T8c1izLS5c0gWRzUwZutyv7kZfMZAtOFr2eWtwnTgDv\neY8MhFpNE3gMQyadixdlsDJxxO/XoBlldVnaLpGQzxygN25IX8ZjAW0el+4XZoZ6vdIPn0/9yamU\n9PfFF2XpXCjIgFxf1yQiDubagZIhqxkRULhymUzEpcFVAymSponEsQx8iTBafR/yviZOnAQyORPD\nqRcxo493PNDD4swYIYPKjHcXJB1OgPVqCKVaCKX1Efo9F3vjJNzsAU+7UpHroqW6tKS68oBKDg8G\nGgw8f16ex9NP62TGVctoJJZ8uayUvulUmVUssMGAc6Uiz2HhIAN6c1OzRxlIpaIhE5E40XN1x74G\ng/I+0cfu98s+w6Ecz+tVHXMGSAMBJQYMh/K8SW/kqqXfl35SrC2V0kSnfl/dPhSjO3VKA7N0LR21\nb9reEIDea1n45PMvj6r4NnweH139TURyYa3UQpbCYbF+LhHJGaamxXAooFivi3WVSgnQP/usMkm8\nXnnpAU2mWF9XLZTJRAb02poA4eamptrTPTM3J9RBUtbo3wdkFXHjhoAgqZC04Knb4jhKTysU5Jqo\nC0P+eTwu+04PKgXxGKQgRiKysqB6JOuUPv+8gAWzSm/c0BUBoIlPpM4VizLoGQBMJjUlnkJTriuA\n1G7DiISRPim+62bNxtpMFydPGggHbQxHBorBNh49O0YuOYYPTDq6O1Bvt01s1sPY2DBR37fQ6pgY\n+BLK2mBxaMo5sMQbOePJpPzmc1xZkcmMsrN0nzD2wZXKCy/IKpFBbVJBaTXbthaWzmblPahU1BXj\n8chEwWB2pyOTNd1q+/tybiauARonotuIwU1qzgBa6JlBUo6LcFjOz0kmndYVRqWirBWqkJJUwLqk\nHo9a6RT8qtflfEftm7Y3BKD/s/++AsB/x9unsINfyv5bzOYPfNbb21ohhtZttSoAff26/C6VxK1w\n86aAHC14lt06d05UFC1LgO7yZS0gsLmpErr9vgyuRkO5y/m87JvPazZor6ep+isrwCOP3NJBwcyM\ngIRlieujVJL+Ujt9ONQCCkzbp5Qt9dMTCblmVuGhFCtpctOppqR3OnJOTiQED69XkpZMU6z46VSs\ndnLhmWBk21/veiE3mSyRg2IYt9QFazVgMICZTSF5YgZT24NRpY2z93lxbNWAO5pgOnbwwEoLZ1an\niPrG8MLCK/ejy0TQHwObFT9KTT92bw7RHxiojuNwI1F1Z9HnzBqeHo8WQDZNeS8GAwHwSET95888\no5mayaQGCufm5J2oVgXg6Ken4iGTj8gF93hkVQXIu8nAOzN4+Y7xHUokbt3PW1WWGK8pFOQ4VMVk\ncJycedfVmJBlKdhztbW1pbRcyvxS6oLxAAZUD1vprLfKYtYsjccC6EftG7bXPaC7jot/+n94X8Ye\nY/xD49/grfmb8sJ/9asC0pWKvITXr8tPpyMv7rFjUqvzoYeE6XHy5O1ccED1PBYXxUUyN6esFgYk\nNzY0UEoVO1Lbrl0TEHzkEdVuoRQvVwRra/rib25qUlKvJ6BO2dz5eRlA9bpsS1YBGQpM2WdS0IUL\n6iKZmdHMR/o7u125PmbDkrYXDktf9/dlUMfjCkx0A9G3S13uclmOQV87k2hIZazV5J6YpibaTKcI\nHptFJBdGvzVFYNLFqXN+LM4MMRo6gDXFOx/qYHluijCmd/HC60TQ6viw0wxhe8eDammMVt+HPiJa\n7IFKiNQwLxRul4OlxVwqyXUtLYl7Y3NTg9IERk58qZRY6fPzWrkok5F7QnooVRMZcygWBeCpvunx\nqFBaqaTsKDJaKhW1kJlAxOpDXC2wpCH9/eSfs598h0jBZbzlsHuFRaEp+BYKybV0OsrEAuQYtNJT\nKXk/Dme3HrWva697QP/9/9gBEL/j7b8Xv4cfm///YAwH8tLTgpifl0FXLMrLBaiLgbzveFwAnskl\nhYIA/eqqDNJnn5UByErqTO6IRjW4Sk5vrycvfiQiE8iNG7LdfffJANzf18pCLEl35owclz7a+XkB\n0UpF3CfM+mT/KIAEyGBiViGt60xG+vH00woG2awWtmZCEP251OJgliLTv5999vYkm/V1dd8wbT4a\nVe4zGTrMgk2nNWjX70sfx2PNYjRNxB86Dp8PaN1sYG4lgLXTPmTcBkYjDxKBCd7xpiFy8SH896DA\ndGcA7FT9KDUDqKz30ex5UbficD2mAhaTYSxLABu4PTmGwe5aTe7B6dO6euO2pJJy+15P7t3992vl\nq1hM7j0LYziOGCCAAKHXKxMFJxFSG0lz5XvGItScrKnLwuxX1pVlHoFlqXuO8RMyp0jh5cRMIbBg\nUMXMDEP2oZuHvPVqVQu0UHUynVZZjUZDfqZ3/xxfj+11D+g/8cOtl97ooC3iIv5Z4n9FeNrWwCcB\nem5OAjRvexvwrnfJZ8NQtwtBt1zWF/rZZ8XCv+8+4G/+TQHyUkmWyQwKMh0/HJaBR8H/9kEfvF75\n/vp1GczxuAAEdcZffFGZI8vLWqGdFu3amvLDya5wXTkGa4HSvUGtGBZwME0B2s1N2TeR0IAtBxWL\nI/T7cj7qz5Azvbwsx754USVSaRkyHZxVeajlMj+vwT4u71mijVYdWRcHgmdGMoHU6QLc0Rjt9QZO\nPBDB8aUJvMMexmMPzi4NcO7kFHHfCF4cpLrfhT+91vKh3ApjZ9uD2u4Ard6BlU4tE9tWWmAsJhMt\nE2moccO4BxUqczkFZ2qiM0jNnILLl/Uel8vym+chfbDVkmfBQuTlsqpper06wezuanEUuv/K5dsV\nN71ezQTl5EqGC3X9KSBGoTCybziBdDpaFzeV0kQ2srwoUZDLKYuL+i10cZ4+LX2oVuX6jnzp37C9\nrgH95pUpdka5O9y6h1/CP8eaual82fl5ZQJwGcl0ZFonXKpWKvLdtWsC2rmcuEh6PeDjHxfgfde7\ngMcfVyoaoNl2zDZ84QUZiCw1RlD3+2UAMo3/cFGLq1dVC31lRVYEh5e1q6sy2DY3VeTJ55Nz0kr0\n+TRzkKJTh7VFnnlG7svamvh3bVtBnrrWVI7MZnUFYppiXZbLMhgzGa1mTzCJRLR0nW3LdbLCEt0r\nqZRmYFJ5khz58RiwbXjPnEA8YWC814Tt8ePE/REsx/ZhD6eYjFy859EeVvJDhDysV/nKeemtnoGd\nihflTgC19S4awyCaVhQuDOX2DwbKs15c1AC66yqdlODr8wlojUaymgJU9ZB69UzJv3RJaKs8Nq3r\ndlut4hs35Bhra/L+7O7KOzMeqwDcaKSBRiaXlUpyT8lTp4Z6JqNyAGQbkQxAWQkW2mCuAcsrer1y\nDq4q+B2T2xxHxsnsrHxfr2u2NZ9/NisTETOQ9/ePKIzfoL2uAf3Hvr+KOxu0Ln4C/xYf8v2xWguB\ngLw8vd4tX+2tYsnU3piZEeubwUJaF88/DzzxhADegw8KoF29Cjz1lBzjPe9R/yaruFDjYzgUq35m\nRmtOMoDJIr6Nhvq5k0n5+/p1Bfrjx5W9wBUDK+Rw+ctAVSolVjrrfrLuJKAZiqmUgPGzz0qflpY0\ngLuzI31lXUgWtZibE4DodjUb9OJFtdoOu3ooTNVsajIStd5Jj7MsuVYWW2aaOV0bB8WpIw+eQNAZ\noHOzhsxCBMdXDKTdOoZTE2GvhW9/pI9cdAg/7j7rcL/lxU4rgp1dD/a3Bmj1fei5EeWQMzuTVnqx\nqCA5GCgtkDkKuZw8v81NrfUZjapfmiunrS116W1v67koCsbkn2pVnh2tdAKpYcjKCZB7zbqyrDG7\ns6MJRu227MeJmy4QxjgI6nTPMZDJ+Idh6ETCQiisXMLAp2XJ/1mIo9XSkoqGId87jsSnWICl0dCi\nKEftVnvdAvpk7OJTT0fuaNuz+Av8HP4n+AxLrVICNzVM9vbE5VGvyzZLS8JcefObgR/4AeCd7xQA\nWlsTDXSvVwDsS1/SAGmvp4B6+rSmNrdaanE88oj8/cwzWuWFpcNYIZ4ARwsln5dBSNnahQUBdUoR\n7O3JNl6vplFTX5s1Ta9fv12udTjUe0Ar6+JFuQenTmm1nlJJ9mMNSq5UIhEBDdIvV1dlkF67ptQ2\n8rVZlq3RkP0iEfEDnzgh5+WgpgvioKj0LYkDZjROp8DiIpJzERj7VcmLui+G1UwLwWkHvXEAq4tT\nnF/uIx6YfNP34U5bp2uitO9FpR1AY6OJSjeErhOBY7vKDKLfl0k+TKXns6NmDpkiDGxTiZBCbAR1\nJvtcvCi+dMuSiTCd1nN5vfJz44YKdXHiYLZuLif9G40UHMlVL5e18LVlqawAOfakIVKoi7rudIlw\n5chgKp83VwSABnHpenEcuQ5O/rTSJxOlMBaLGnvgWDpqt7XXLaD/yj+t4U40zw108Cv4WWQ8PRWS\n6vfl5SJVjj7bblcGyVNPAZ/8JPCpT6li4n33yWBstWSQfuAD8jcFk4ZDHThMv19ZkYFFH+P2tiab\n1Gpi4dOPnMlo2TpW9olEFCxmZrTIQCajzAnS/DodARRSv8hQCQS0bFm1KhMYFR0nE7kWv18GbLcL\nfOUrMoDPnJH9ul2ZDLJZuRbHEQtzOpUJi9eXPBA129mR/jBxhjQ6Lud3d+W+9Ptq3RP8XVepcmTW\n8NnwGI4Dz7kzSEammJZrsMwAjp/2YyW0D9d1MZkAj7+pg8VUHxHv3VnpUxeotzzYaYZQKnlQL4/R\nGgbQd8PSd95/TtrptDwDWsTk/vv9ArbkqcdimpTDuqMsNxcOy2/q7czOymc+RypjUldmf1+t9FpN\nny0gkyxZS0wiSyblXFxpUdWTlEda6SQGMCjOOqD0pVM4LhJRN5zjyPeNhga6aXTQnWaaAtydjiY6\nMS/B7xeDCdDx2e/f1TN8vbXXLaD/g5+/M//a38e/xrvwRdWvYICPVvPurgArrZZGQ/5fKom1+dRT\nwO//PvDrvy6DIhoVadxGQwKoq6vyModCmhHHwFMiIS9oMCgvaLMpE0ahINbt3p5OAocru3MAUhlx\ne1t57ASCpSUBQ1aXoX81FpPByolrMlErfHtbffaRiEoHUHgqEpHjv/CCBIvn5mSw7e2pfjfdLORH\nkw89ncpnj0eu8bBaH1k+1PlmQlWppAFS9oXxBBYdpsBUva4+6kwGwYUcQoM6uvUJ0vMRrMwMkPU0\nMHL8CIUNvPNsFZlQ/65lARptH6qtAMpNP1o3ayh1wui6UTiWoxMS4wuOo8FQTnzObeUAACAASURB\nVEZer4qV9Xq6+mNFK1qoLBB+uJTb1avihgDkGZBxQpogrXRA+fCH2SgzM2rZcwKl2BwLWlMLqN/X\nCYW+7UxGKbYsEh6NSr9jsdsBnS4jx9HJmFmoDMiTEXPsmHzXaqlKJSCfFxflnWdmdrV6V8/v9dZe\nl4D+/JfHsO+AqngCX8E/xP8sXnZaTZSj5XLXddXfG4nIS03/YjSqJb96PalOtL0tg+XJJwWk5udl\nv7k5eeGp9bG1JS8tM0EBVSDc2VGNFEoGMOsvndYK8N2uVly/dk3pZXzJT57U7E/DkO3Jgd/YkP7Q\nT8lEkJ0dpYQd9oUmEkpHfOYZAY1z5+TauXKJxZTySECYnZXz0KWwtKQBMiY20Y3Q60lf9/dl4NIS\nX1rSQtXkP5P2xtjGeCzbAvLd2hoScReeRg2tronl4yZW4/sI+WwM7ADOro5xer6HaODu6G9TB9iv\ne1Bqh1HedbFfttCd+NG3g1p2Lp1WiYNsVp4Jr5f+dgJxMKguP8Y2mk1dDVG2mauqXk/eQfqdi0Vl\nL4UPVgp7e3pesmFoFbO6Ee8fNVmYG0FKbr+v2v+U1E0k1BBiSj41dzh2uPKim4fFTPb3ZVzQSufE\nRSoj39PJRIOp7MOxY8oiYiD+qAG4A0A3DOPXDcOoGoZx4dD/0oZh/IlhGNcOfqde3W6+vPbh/3zv\npTfCAL+Kf4AkDpZsHo8WCSgW5aVZWxP/49yc6pxQcCoWkxeNlLDjxwW8GRjd2hK3TCQiA6nTkZed\nAUQWp/D7lZlCP+LmpnzPwr0swLy7K+fNHsgY0I2zuqpWMfXDWeyCiU4E5/FYBtaNG6rLQVYC+cQM\nilHhkT7SeFx+dncF1Ckm5vdrNmoqJSBGpTxqwXDZXCgoFZI1Mcm8INui1ZJ7uLSk/vVEQgGfXG9A\nlSDpW2esIZmEZ34WSbQwbfUxDSdxrDjCYqQB2zVgw4/vOF/BXHoIPxzcDYWx2fdirxlAtR1CZ7OG\nnUYYfSMK1z54nrx+cvVzOY2LkN89M6OJU2S09Hq3tOBvKWWOx3KP6Zcul+WehkLyXBhYpDa/3y/3\n2nW1lBwzQkmfZBEKSjkwdrOzo7VfAS1UHQyqkZPJqHBbv6+ruXpd3v1OR4/PVR7L39Eqp9uFMRwa\nND6fCslxNeY4Ml6CQR1rR770W+1OLPT/E8B3fs3/fgbAE67rrgF44uDvvxJtPAa+eP2lNc//Hn4F\n78FT+g9mq62sCAg+/LBkfp4/f7ul2+vJz9ycgBkgQLq+LoOFE0AyKfSyX/s11eugVCl/Oh15eRMJ\nOUc2K4OqWhXA9fnkf4mEDMgrV2TApdO6UiBneWVFBi6ph9Rpyec1OBkMysBJpVQWgNmfgGYmsnj1\nYb8soDx01xUmDumFLLu2vq6p5FQBvHlTl/ZU5zt+XCcp19X7wuuxbekDwaHVkvsXCKguDcWgKBZG\nkOHqxOMBFhcRTIUQ6tfQ6zhI5QNYijWQjtsYuCFkoiO8/WQNicgYdwPog5GBetNAuRVCbXuMvaqB\nziSAvhVQQMvntULPzIzeR2ZGMouSQMjCz9Wq8r5DIbl+ShEz+Ei55PFYs229XplACHx7eyrPwGAj\nywQyV4Cibix63WrJM6Uhw+0Za+K4YV3Tw7z1w1Y6oGOnWNRiJ7WaKjlScIwsFsPQMTMeqy+935e+\nzM1pwH1nR5lZb/D2koDuuu5nATS+5t/fA+A3Dj7/BoAP3uN+veL2r35uDy+l27KIi/gF/EtxtXi9\n8vIyC5Lc5qtXlflRLCpQUyyKy+F8XqP/5bImBz38sID09evAv/gXMpCoi0HOeKEgL+r2tnw+e1YG\n83gsx2ER3WBQzjMeS8ELBq9IWyQIpNPSb79fBbyYSMLyZoBm5lF/ZnZW/Zx+vwy2avV2CicLOmcy\nAij7+5JBmkzKvaHfdW9P3QKHKWaHfenptFqkpPHZtmqc8BnQnUD/bSajsgEEcF4rS9nRDQFIP4pF\nJAIjGM0G2khguTDGSqqFoN9Fy0rgodl9nFycIORzcVdWes+LUjuAaieA4VYVO80DK92y5RkvLcl9\nXF9X+iGTryi2lU7Ls/R45N6lUnI9nY7cl/+/vXePkfzK7vu+t6q6u7qquvr9mu7p6ZnhzHBnlyGX\ny5WcjWzE0Dp6OJHsWAlWkOV15GRhwLIkBHYgW4ahOEBs2ZCN2DEiK7achSCvlcSWpQhyZNmQYlvW\ncpdc7ZJcksMhp3v6Mf2u6up6P3/549RnTjXJ4S6b3J7pnjrAYLqr63Hr/u7v3HPP+X6/h85D7bbn\ns4eHvZnExIQ5N8mcNPWeVMo23yhyKCrw1FbLrj8sU5BLyCnfueN4eBqQpFIOo43FvH8u/T9nZ11S\nAsleri21I7ozVauurd7L/rx7107IROlAPRsNe+3ly14HKhZtLfXtxDn02SiKtro/b0t6oNB4COFz\nIYQXQggv7JHj/BbaX/6Zb/SMuv6BfkLj6lKl5+fNUdMejuINzShef91JQFeu2I1JzheNZrRLQJTc\nuWPphk99ynDoKysWqUt240HDpjAFZpheniBAXn7Zj6p07ikUDGkCJh5Hvr1t36XTsZs6HvdCI1BG\n4Gw0oo7FDDOPZjWoEwpXd+96TlfyhsUXLtjvL79sUeDyss0h6AjJnBHR2+3bNmcIbdF8IZ32Zgxg\n6ymqkk7CcR0d2eem0+ZwyPnTgR5BNAprIInm5hQbH7XUS8nmcnn0UPOzLSk5pFiI9Idv3NNUtqnY\nByiQVmoxHRxIm/mUCttVbe3EVOkkVWkNerFzYcHrDWDOQUENDr6TRk9jFJQtKUbmcq5SSDoDnZ54\n3CCNMITX1myA5bJH6Sg5Ip1Ac2hazRGlT0/bZ9+9682+OekRLJD+Sia9dyn8ht40CXDYgwO7jujz\n5HIeaCADMTzs9RDmrF73jRrG6dSUt1NcW/PTwGNsH7goGkXRe4Y2URT9fBRFz0VR9Nz09DfL2jyZ\nvfxiQ9Loez7nT+gL+i79rnfz6aVXk1KYn7d/MzNOpV5ft8U3PW1Od3nZHXu57F1ZKBRtbloE+9xz\nlrZZWZF+67dsQdfrhuWWXCtmf9/+9slPutJesWi5aqjfFMtWVsxJMu6FBUey0GQZkke16nn3mZnj\n7LqJCYuEn3/ebmg0z5ECAM2DUl5v8wOiyS99yf5GXpMonZQQN+n6uh+TJd9kIMP0kocoRCMgNj9v\n8zQy4gU7cs9IA9RqtimOjjoeG1LL5KSS6biShR0Vo4xmMxVdmqxoNNVSqZPR8sihnn2yrNQHiNJb\nbemwFNfWQVIbB4Oqbx/q7v6wSsp4wX1+3q9fOm3fBegp4ldIHNAoAuQPqTXqL/G4/Q2kExT6uTm7\nZqyxw0Nbi8mkOX3QKfG45/Alz6/To/TOHYu0aR2H+BaROUEP0TXpObTySeVFkZPnkKRIJPykQN/d\ndtvTLomEva6Xi0DTbHT8UykvnDcajhJ7zO2kDn0nhDAvSd3/Hwns0Gd/YOs9/z6kPf0v+iueaul0\nHNkCNBDSBHlObsJ83m4M4GewLy9c8MIQpCG6mpOWuH7dIqatLfudri2XL7s++NiYF8U+9jFHFNy7\nZycEtNbpQPPSSw5PGx629yKKwykcHtpzxsaclJLptuCj1yl6NEROaMkQwaE1AnGIKO7yZXstZKOF\nBXMm9bp3xOHYPjbm7EbSU7WavQfKj+Xy8VZ1MGShk3Ozz82Z8yASlFzLZm/P/kYkSLQ3PS2NjGg0\nYRtvqZPScubA5MXTA6pVW/pPP3KghZmGTJfzZE69WI9rvxB0Lzes/HpR9/YTqmtI1WbCGz0vLtp3\nf/NNW2Nom+zsHG8EUSy6AwXC19sAIp+35zJfdAlaWLDr9JWvOAGM9GC16iSzsW6dic2U4n2h4B2P\nKKBTkJfs80gJSb4JwIsYGrLnsuZaLS/AonW/vW3zwGmMVE087rwE4I8hmOMGEYRoWG8rvVbLZagf\n8yj9pA791yR9tvvzZyX96ocznJNboyH9/urEez7nZ/WXtKCcU5kzGceHA/e7dcvSLBRhsllXWkQD\nnJwmtPWlJSuQEqHCskPkf2XFXn/hgi2+V1+1f8D8iHhGRmyBk9ZAx+PWLac5p9O2kZRK5kyJWEgd\ngRxotz0Vkc/bqQI8PI45mfQo/StfMeeKTks67a9fW3OtjxBsHtjscjnL66fTNg+wBSG0DAy4k717\n108JaINfvuzNpME00xGHtAvQPnRDxscd0pbuUu2J6kD6NJs2Bjr9jI0pnhnWSGlLtXhayaiqi3Nt\nzUxJzVhS2eaB/pPnqsokGzqpxkujEVQox7SVG9JOPqb6blHrB8MqtlO+2U5P2zyurDgvAKKQZD+j\ndghOmyIijZJBAsHspLsTp5pLlyztVi5bcEAj76Gh4+kd0CU4UzT0kX2+c8ebonz96za/pFYkn3PJ\nC6PT0za2Usl+5m/AJalBodnORoMuPxrwQFPv3LEaTS9DmCAsk/F7qtNxZM9jbN8MbPELkn5P0o0Q\nwkYI4c9I+huS/kgI4bakT3d/f6j2P/+FTUkP1j2/qX+vz+kLnnNGsW55+ThEcWrKFjnNjbtqfhob\nc7o7TrPVssWbz9vfnnnGbtCdHXMmmYwt4O1tu2HHxvyoeeuWRdkwQImYEfe/cMEW9/y83QCvvuqF\nrLEx+w5bW5aPRXnu+nX7fDDGnY5L6Q4N2WePjzuOXnI5081NS+NcvWrvAbIlivz70BuyK1l7XwTs\n1i1zGJxWaACCIwaDTKek3qbJMFrZKCG39HbIQSxqYMCZhCF4kwTy6Mmkpy/QM0G2dWpKymaVjteU\nKBdUaAxrYWhfy9cHlRodUPGwo08sFnR1sa2h+2qM79/KtYQOijHtHg6rsHmk9f1B1UNStXrwAuDS\nkn03ZG1J3VFQTqW8OM1mSJOMYtG+L04w3dVhHxuz16yvewH2S1+yugwdkSgqbm3Z9WDjhOjDZgkF\nnybks7M21lwXG0ERVPLCKJozbBTr696dKRZzpA6pms1Nu+/gcLB5Dw66smM67VE6QUyl4ukl0kcU\ndEntPcb2zaBcfjCKovkoigaiKFqMougfRVF0EEXRd0ZRdC2Kok9HUfR2FMyp2//4996riUVdn9ef\n10AseMcUIlii0elp+3fxosvTIswF8YKiKdEExULgh5mMFUFBgSCURM/P7W37/epVW9QvvWQLELYe\nhS60M0ZG3IHRAo8oZmLC/nb3ri16jtLXrjkqBaGkrS37R5QO9KzZ9NNKpWIwSyj7Q0Pe7KBY9I5N\nU1P2WjDHly/bd3v+eY/S6Xi/t3f8ps5kvBkwuOpe0aW1NXc6pBHQXgfZ0WjY54IAITdLbl5y1iSd\n62s1O72MjChkRzRW2lA7MaTG/pEWF4MWFuOKx4IGS/v6jk/WNTJycrJRqRpULMa1uj+k3f1I1f2a\nNo5SFqWTs6ZWQ9GZ/rGbmx61A8kktcGpisIgsgCplEsQT03ZZ6yu2pyurtqm9vGP2+fevm1zenjo\nRVecJzIQCwuOKhoctPw5sEa02mmqkkj4WAYGfL3MzXmjjvFxh5gCawQR02gYsgsIZT7vTU/qdQ86\nVlYs2EJBNIpsjARa4+MOW6R59mNq54IpuvJGU+/VxOJH9Pf0nG65A0GWFY0QIHJ0Ip+fN6cGCxPB\nfbq7cPNFkUfY1ardQMmk6ZzACAUjDVphddUW7JNP2ut///ddFxzWJI4Lgg7Ki/QHrdVcWfHoyCJk\nOgFdv25jZxOCqffaa66ZjrNkDtiYDg7seTSpoCFDCPa39XWHJMKkhQDy5pvmkOkniloec1YqOQa6\nVvPiWr1ur1la8tMOUTW0cRpS0w1peNiRNghzkT5IpVw2GA0U5IK75KjBoaBUPa9SLaGp9o4uPpnR\n6FRclcOWbkzn9dGrLSVjJ4/Si40B5Q8HtZNL6mijoHt7Q2oOpNRo9cAFYXSSmhoft79tb9s4KTTi\n2LheBBk4SNIYwG8zGbsO9Gf98pftGl25YmsWpcqdHZcyRlSt1fJ2dfm8bdb5vM39zIytPzYUCEbt\nto2Be4dTGe3xUGZEvgHEDzwE5JhBsmxv29/hMaRS3u90cdGLw6g3ohOP86/V7H0fUzsXDv2H//jm\nA/+W0rb+tv66/TIyYguzG63dv0laLUcSIHbFgh0f958hgvAYcEaUDKEij4xYNDwwYAtsf99RKpub\n9rrFRafBv/KKnxyAMtIKDrTL8rIt4tu37TUDA35iODy0xyk8PvWUk5QOD228lYqlbS5e9MKi5OgC\nIrW7d+2munrVCTykmTY27PvzenqJXr1qp4Qvf9neizZn6LnDPKRXKdhr4Jkh2AaXSlnOlA0U7Dzt\n5ojeajWHvrFpUOwlBXBwcJzwQpTeLTxmS/cUGxrQ0d28Fq8O6eKVQQ3EbfP45H/U0uRYUycujh4F\nHdWC1naGlM+1VMo3tFkYVqk+4LISaIxvbrp2TjrtdQZOds2mS96CAyd1QZqC4ilzX63aWrhxwzXw\nn33WPuf11x01Qmonk7HfYRcj5DU9bb/fuuVF9699zb5kImHrivsHCj/s38VFj6Zhh0IMA/aYy9m6\neuopZzHv7tqYeqP0EGxzQEwMzHmxaO8/MWHfAdTN1tZj23f0zDv0KJJ+99UHM0P/vn5co+rCnObn\nzdHRp7JXHxrGIfjynR1n79E1iM7lR0fubN94w15DZINgEBoevJ7Ia3TUbqrdXYvkx8ddAAzlOwSx\nUikn/UAPPzjwSGt01POg9Ds9OLDPvnHjeFSUydjfuxKz9/VDeguyIFvQZaEJAhsfzRdGRy2qQmnv\n+nX77rdu2c3UywZsNj2FVCy6k+aGgxwyM2MbHJBDIjm64dTrnsKSvCDWbLqOSSrl36dQsH+gIPb3\n7bO6UXpsaEDZzqEa1baS+W0tPD2t6YmYmrmiFseO9LEbDSXjJ4vS25JK9YT2iwPayydU2jrS5kFS\ntVhKrUbH8dmzszY2rg/ww91dW6cQqDgNUWuBaAMmnY2OdUPRFSnar37VNrMrV2yd7O15+oKc99CQ\nXTt0VDiVXb/uDSVmZ20NoXBIqog6E8VZCqIDAxbgjI3ZOoEtzImUE8nTT/v6aDZtM6LgCw8DJw57\nlNQcvX2zWRszmi+PqRzAmXfov/L5vB4kk3tVv68/qf/neHchWIk0VUAiFBhXpfJOkatePW4cIRKi\n7bbrTqOpgRQt+HAiqNVVT6P8u39nC/FjH/P8MZroBwd2s4yO2num007pHhy05+Zy3iyCo+/t297t\n5iMfseeDVEHu9ItftGiLDajTse/G9yqVbOybm7YpJJPmZIi8UKDku3HzXr5sr3vxRd88m01nbpIu\nAalCowqaZMfjlusdHrYonYgNEkyx6GgW0mAXL3pNgx6nsCCRfUXKtVbzjaMLg0zVcuYfV3NavDKk\ni08OKxOvS6Wynn5SujB5cnndYiGmYjmm1d2UCgcNHeXa2qulVWoM+joDcgjuHFw564RIFQo9UXqr\n5ZE5TFI6FaVS3tlnbc2i2vV1uzbPPOMbL5ILMJFHRjydR46fuszoqK2t5WWbQ9ZYPO4bD4Qx2iqS\nS0cSFy6F5FG65Gzhp592SYKdHVuLROno9uzu2hhgILMpxePO3eBe3d5+LEW7zrxD/8x/U3rAXzr6\ngn7EcC+QXJDvrFQ88kSQaHvbi3D37pmzQFWOIyUUbdqz0ci31TInRL4bTRJy4qBW6Lu5tGSf8bu/\na1HT8rK9dmPDYYj7++YUs1n7O5EuR987d44zCoGDvfyyPT40ZA6Sps4HBzZudFoWF/17HB05uw+M\n+Oqq3ZRXrjjdHNnXr3/dnj897QUtej6+/ro5/fl5Z8OCQAAhg04J/TXZSGgzxnjL5eMpgU7HvzOq\ngPPznmdHwlfybjikFhA+4+bvQjBHB6tqF0pqbe3pwrPzmplsKXGY01SqpI9eayg1cDKnXm9LpcaA\ndg4GtHcQU2WnqI2DpKoaNmldCD308qTWkc3amKk9sH7RHI/Hbb4KheMs2XjcU2Tz87ZOb9/2phqv\nvWZr8IknLDhAvROmKEVw2isuLdn85XJ2bQsFz7vfuuWFR2CXSDj0fgfUFQ8OfH3SkYhoulKx9/34\nx126odOxNZpMOoyRGpR0XImx0fATIGlEZAUeQzmAM+3Qq5VITU2+69++S/+3PqlbHoGQw4WqDMTq\nmWfcYUKeQJd8bMxfC+uy0/FOPqRTgJHdvWsLl6iFyIkb8dIlu5kke87zz3shk+P21pY7onbbnnfl\nin3e1pYtXKBljHdszPHKq6tWaJXsxn7qKY/6KYC9+KKNhbQO0dqFC95BhoYbV6+6pAEF5cND14DB\nGc/P23vu7FieNZPxYihHcmQFQnDc9OGhPReNFqL01VXbDKpVhz6SM4XN2mw6RK9UcolelAzhF5Bz\nbrfteePj9vmplAabZQ3H6iq9taPZy2ldfDKjtCoaqpX0xJVIi5MNnTSXXq5IhXJcaztJHeXqKhwG\n5eoplWtxR2rA/sXBwz1YW7P5jcW8n22v2mSzaddoZMQJaXAHMhmbFyQllpacwfv0054XZz5SKT9J\n7u25tvnoqK0B5AKo/Rwd2fWXHHvO92k2nZLflV64v/kMDDhklfXYbttnttvWJIa1wukYXXXJPuPo\nyCUO9vb8f9BCnLgRKuvVh3kM7Ew79B/9oTW9Owmkqs/rx51dCZuNrucUN1991ft+fvu3+7Gz07Gb\nBGlcNFMoziGcxM3HJnF0ZE4dnLtkC5PeoCBAyG82m9Jv/IY5w6Ulu6Fo4oz2Bg78+nV7/sGBq+lt\nbtrviYQjHTod03opFOzzn3rKnl8smrMlj3nnjot2ZTKOmx8bc8XDrS274a9fd4dOofGll2w+5+b8\nVHHzpjmLl16yeVxcdIdKyoaTDekEyDI0DAbxQsGPKH142FX4UG0Ewjgz44XtvT3XSKGJBCmdEOwz\ncCxdFctsxiL/8kZeF/7AJS1O1zVYPtBkuqqPXG8pc8IovVQNqrdi2swNan8/puJ2SVtHKZWbg9ZM\nGvEzGK+speFhZwFzwqP5Mo0riHwpZrMOgKNeueLIKEThbt+2n69ds7Wwve0NJtA9b7ddWoB1UyhY\n0Rplx2zW3gtHi2Bbuey0/HTaXsf4OWGQ3isUXFeoVLJr+4lP2GsBJqDPwwkrBD9lLSzY3zn9AZEE\n5sn7gp1/TOxMO/Rf+BeZd338L+p/0qwKDu2bnbWj5rVr5iyWlszZJJNW1Pyd37FF9olPuFxsLGaL\nHlgcqAPIDWi/4Eh76ee5nBNGyHkSdX/sY7boNzYsAltZsRQG7dqAkNE1ifZtN2/aGGkoTArnrbcc\nmx6CjX9nx6J/yW6sb/s2e1+6yyeTdgRHICqdtsd3dpz0AvV+a8vmDzElsOulkkV5KOsROXGjvfqq\nn2QoNtOlhvQNTYTBRdPI4KMfddmD3s72EI8kn+9Ox9Jj5NV7Oy5BgGq3vWMTEqzIEKRSineaysQq\nqt7eUHZpTPPXRzTSPlKqU9HifKSluZPK6waVKlKpGNfG3qDK+Zr28wkdtlLmCzsdZwYDx4SN2Wq5\n1jk9W0NwLDf6NcWivW5ryxElnY7N7cWL3mVrft4L6k89Za+5fdsL4aRcMhlvHD097Y02II2trNjj\nuZwLf4Vg4yTi57UQo6anbZwEHL1dksiTE23fvOmnYYho2ax91yhypigEvb09z6mzjhMJr/0Q/T8m\ndmYd+tdfrElKvctftvTX9HedbAHVXXKM+eSkLdDlZVssu7secV69agsDwf3dXY9Y0SXHQaHBwpEY\np0UqBHgjiA0q8pcv22IFB/7bv318bCA6cjlnQ46P22YQgi3esTH7t7PjokvIGMTjxhIkSr9yxQqc\n5PDpG/nWW3bTI4NAc4OJCfuOsZgrSl6+bDcIRcahIXPag4M2l6RWnn7a5uWVV+x1c3NOW++Nnpi/\nTMYlc4kOl5a8wTKplMFBez56LXAKcB7o6YDIAGFUrXqulg0FWn02e39TyWSk+MGujjaLuvBtF3Vx\noqRMfU+TmYauL7eVTZ7MKZRLQcVa0Ob+kBEvd8varoyo3BhwhA8CcaBYOFFS+AZeOD7uTaBBHqF1\nUyzaP+QC2m1by7A2s1l7zZ073phkb88DhETCXjs46KkuiEYHB3Zdbt60v7E5rq464mV62nPg1aoX\n6yF+xWIeqcfjHonj5OEgPPusp5EgT3Evs0Zo3DE356qMCHyNjvocdjrOBXlM7Mw69O/8A+9OHviC\nPqekOu7Mx8e9UEZ3G46ECwvOQNvcdFLD5KSrztFwgsVEEYtoMpn04g/omXzeWaEIYjWbnht85hmP\nxEETfPGL9+np9wlDFEcpBH70o/Yc8LvLy+akkKwF7TI+bq/7vd/zusGnPuWCYcidrq871h5W6va2\nOX+ipEbDaf+knYCgHR1ZEXRqyh0lujc06eDGBpUAAYRiaDptv5NagYh186bD8kg1cIwvlfz6IE7W\nSwJjs6QbE2k2jvDkWNHqSSYVEnFlWzk131rT0MUZzV3NaDwqKKOypqYiLc+WT7ROG4qrXI8rXwza\nOUiolKvqoDCgYmtYtUYP9wC2K2Jd1GWOjmyNtFqu+5PPO2qkt64AoYbiKN239vfteVNTfuqC/Lay\nYnMB2YvUC4gr6iRra94zgKYs+/v+mYmEOVgK1AAEKEpDOiLtMjvrDdNhHh8e2s83bngTbSCavSJc\nrZa/P5BU4MTIKCCZUC57a73HwM6kQ48iaac1847H03pNn9G/cS2QgQGvvkN6wFESdV+6ZAuIfpo4\nCHCt3Fg0IY4idxzAs4hSJddR2d72QiCiVsmkN/69ccMj0FTKxLFqNVuQMN8KBXNo3DRE6RBnJCeB\n7O4e16geHLRcOpKi09P2WvKVaKWgkQ2EDg31sTF7T4qgpFRIH3U6Nu5XX7V5npmxG7TVsihdsigd\nuQB0cXolBShuEsmBuiiXLYKcnfXrRb4YASpEv7i+8AuAstHxiHmExEQajPh1kQAAIABJREFUAJVL\ndOxD0HAqaGBrTcWDhi48O6+F7JEmlNPIcKTlxaCx5MkKbNWqVK3HtbmX0MFBpHKurq3amMrVmKdR\nslnftEi9kI4ickZe9949P42x1rJZFyND+iEEr7fs7fkph7TJ8rKtr179eCJ1hNLSaec/lMuGeCF9\niHYMabDe9nMUVnsVOnn/SsVTlWzgNPqu1SwlxPeh2QkOmiALdM7UlCN26I+LPhEbW2+q7pzbmXTo\n/+tPb0uKv+Px39IPuqDVhQuOCycyrlbtidzMe3u2MK9etWgdmnMmcxwZw0YAcoJFisQp0RCFIRbt\n9rbD64hEaZn1kY/Y4yzow0NL+3TRF5qcdAghefnBQXsdjXgPDy09EY8fz6Uj4HVwYIgWust/8pMe\nWYENJmKfmvIoEUp2r1Y1kMDhYRsX0qqFguXSp6fdIS8v29zT8BqNePKkOBxOD73dcmj+nMm4+Bfi\nTdQyuJYUpZtN+740DgFLH4vZHIOjx7FReGy3/dp1oXvZyrbaa5vS0pLmLqU0Hc9parCg8dG2Ls7W\nT7ReK42EKnVpJz+gnb2go62i9o8GVWwm1YoN+vjI97MRIWiFtg2SAaQ96AOL6icsSRqYwI0ghZbP\ne0MMGqpA/oGxK3lNiKDn4kVvPD03Zxst85jPm0Pl2sDh4ASLMubwsOe4KZCiqc/JAEx9MmljK5Wc\nVNZoOEIGGG08bmOp1Tw9VSr5XIF1r1YfG6LRmXToP/bX3nl8WtTz+o/1hqdLEN6amDDHMDHhUp29\nUfjmpuOooeZLrh/OUQ2qMrlAonScULvtpAeKcUQcFCtBdmxv+2eSk4f2DmZ3etojUHRUuNmvXTvu\n6KBZk2qQHNXzwguOx52ctCgdfHEy6doqsO3GxswpoFmzs2PjpwAHQ5TNcWTEHDrOkw5ON2/aPL/y\nin1HEESwXjn5wIYEGsoxuV63dBjvieYOxcCDg+OSwzSzIBIkSp+d9SidSBAtFOCk5HQHB42usPGW\nSvUBzT05pguZoqYSBaWHg5bmOyeO0ktlqVqJaWsvoaPDjqqllrarWYvSJRsv33V+3ouFoIRw2LBw\n19f9dMGGOzTkfVrZNBMJc8iS59iBtyKBnM+74iLOHKw713hszN+bEy0S07u7roU0N+ddlyoVL15K\nfkomPTLZhRyTQqtUbCydjiGrRke9+xZt9giy0EUfGrJ5I1ggxdaLGEL35TEQ7TpzDr1e7eidXYki\n/Y7+K8+zIbmKGBZH1F5nhFhUJmOONARz/LAhe1Ej5O74J3k6p1j09AUSteQjEYaCkESE0m7bsffq\nVY+2Wy1bcK+/7kUwcoS1mjlZNpQbN7wIuLdnaSPyoRxvGw0/tr78so07kbDj7MSE3wAU3yR7Txi1\nsPLIpQP1hBQE2mBuzm42pGCJoK5dsxttfd02BQS9wIozRhwqpx4cOzc8pKt63eGP6HnwHE4Gk5Mu\nDwxbNwR7rFz2/DCbFMd+sNvovByuqbO5pebCsmYvxLWQOtRU+kijIy1dmK6eaN0eVQdVb0q7hwPa\n3k+ouF3UQSWlUmNQnVjC1iNRdb3uhCAcOvwHSGr7+05GoqEHCC3kANjc5+bsb5B4IJAVClYwpw1e\nr7wtQUq1aj+jO76+bmucptekX4AQplK2vmo15xhA64fcB0qKAIeNGnVMpHOvXnUxLmoNMFGRlaCB\nCfl22OAAG1jPdLQ653bmHPqf+vSrejv2/Cn9uq6qG4VmMra709AZCj+43lTKLi7NKi5etIW/teWo\nlK0tR0GQYuFGy+W88EIRjyJMvW7RMkw1nCVyvRB7UinbZKpVb4QL3A7kAXIEnCxyOXOanY59Nz4H\nSdXLl+05CCLRGmxw0Bw6R86ZGcMUsxlQICT9ARRze9uLncjXEgFBRiJVMDpq8E/mnxPHRz5i3/3N\nN72IB3GFRsFAQIHqEV0RqV2+7BsmKBYKsESl0Oc5dZFD3d+3f3NzHuX1skaJ5rFkUspmNRBaSq29\nrnI8q5mrWV1IFTSfLCk5FNPFmY5GThqlV4MKxYS2d+Mq7jdULAdtlzPWdxTHjdjaxYuui0IhcGDA\nrtWVKzZPb77p6SLyypJDGEGGkAdHOleyx1ZWbG4mJ80ZHhz4JhGLOVlIctnl9XVz8Neve36be4lN\nk/ZzSAlQ1KWOBOoll3PSGOuv1zE/+aS37Otthk2RG34BJxVqPpwCgdgSXB0euoLoObUz59D/z/+w\n8LZHOvod/WmHNpVKFpWzsKanHX6ILCtHNnQfZmc9al/ovj+qiTD1KBoRGeAMqlVvnYaGyMKC55kp\nwEKqoelFo2GpikuXjhNjmk0bPwsc+B2NCXDCsEfjcUMgoGuyuuqEKjaR/X27+UlpXLvmhUrJv1en\nY452YsLnY37emwpA1qDwKrmWC8geTjT1uqVd0mlzAjhcGkCTUwXOCNSMv1FEnZy0OgEkIaRwe5tf\nzM1570q6MpGK2d52eCkRPp2kSAUB1ctk7pPIRvbuSPm8qhMLmp2VFjN5zY2UlclEWpo+mVMoluJq\nNDvaPYxrc39A1f2i9urdtAv5aHRuaFfXm0eHLp/N2vfsxZ6HYGsD3D+bLTUglBORmJia8iJxrzom\n+Xiw21x30imwmaembG3Ayzg6clIe80gKhRoS6RDQTdRlQIYhu0whf3jY1nk+76dYrhMY/lbLgQdE\n871gBfTnOV2f8yj9TDn0vXtNScljj31a/1gTsW6Bbm7OFk+zaQ6ZqHd21i9moeDwrVLJxaIgIlCk\ny+UcJ40TAMZHZxlylaRCyAMS9RMxkXYhksfh0K9zefm4XgkNM0Kwx6emHHZ3966N4coV71JDKgNN\ncViD1aoXht54w6P0Cxcs8k0kHAtMFyYIP0NDjhShQIYeS6+kK6gRpF9JodBb9epVu/G2tnwjyOdd\nBIqWduT80XqJIvv8oSEbL5BMyTciGLU0XN7d9WsJVn13155HLp0oHbQMEFbJ4XGTk4o3a0rffVWV\n9LTG54e1NFrUhdGyhoeCZsZbSg+8/yi9oZjV747i2tlN6Gi/pnI9pr1qWrXOoJ9CYIEuL3vhkDlH\n9fL6dbu+m5t+kqReA8tX8i5Po6N+KuK0OjpqAQA5e+oU1BYIeLgviLzX1uxvnC7pP0rrOeDCKDZG\nkcsBMKbRURsDRUzABET9aADduGHX8s03bT1xskL+gJMwwQ31Ihw6yDHJ01HnWA7gTDn0hYWvve2R\ntn5VP3FcBndy0hX6OL5Jx/HjzaYt4F4WGbt4PO5REkU1og6iUsSFSL20Wo4ggAVJ1A00EQlUEAi8\n9tYtZ+FFkaNOYMlRbASyt73tOhioLyaTtuCXlmycd+96UYjx7O25iiGEERAgzAHfhdoCjpNmA6RH\nuNmIGOnyTv9SZE/bbcc7r60dl3ztpYgjp0AECUIBZzA+7pty7yaE5EA+7zIDYLlTKY9W19YcykrE\nSdorirxgDeuyO9+ZrduK1Sqqjs5pZqKl5Wxe02NVZVLS/NhJovSgQjmhRiPS7mFMOztBtcOadmpZ\n03dhbVEcHRmxjbdetzVEtN1qeUrmjTd8zDhVUn2gsphP6jg45bk5u5bQ8dttu8YUkEEBAREEDQWM\ndWrK3oOmGzT6llz9kCgdsAJ1Ek5ovfdNpeLCXnzf4WHbvLhXGU8Xanq//gPBD5ir5OQiyU+D6Mic\nUztTDr2pJ4/9/gP6WaUmxzxHJ9n/qOkBjSPXBlY1lzMH32jYTU0emMVPjo9IF81nFh4dxonEQzDn\nTzTUbpuTJj9NQUfyKAuFxN1dG+eFC05/l2zxra057p0Ic2fHUhjNpi10WpDBsrxwwW4S8svkExsN\nL1BK5vwZI98TDL3ksgX7+36z05yXgpN0PA+OkyQl0miYo7940aGXsAVpckGkxukARMr0tH3G/r7r\nwiOjINm8Vip2PY+OnEC2tWWfGYIX0ICnkkcuFj01tLfnfWaJRrvNu2OlI2W2bqs2Mq3RqUFdzBa1\nmK0omYw0PdVUKv7+I71yM65SOahYlO4dDCp/r6xifUgH1aRa7eCFSdiTy8vH0R5ACyVz9pzI0Pen\n2IhzZxOgJpNMeo1Esvfe3LS5IXcOCQzD6VOoD8Hy2iEYEml42N6vVvOTbzptY8KBDg35HKNHQ3EW\nPXfgjcgeACC4ft3b4SEBQZoJ1BLa7JJ9Xm+6qVTywAyNGBz9ObMz49D/1T9c1XHseVv/RD/t6BKO\n652OK8+Bq+50jhfzONKNjTm8iucTGWWztlAKBe98DikGdhpYWiCSsOKqVWd8RpHnGCEmEXmABuDY\nS2oFgf+DA49q0VxpNOwGzOXsM4CxDQ/bTUY/0LU1rxf04rtRMcxmzVHjOMEGI5GLDDA645Kng8hh\nIpIFVHNiwotj0NoTCbshEwlz9kTZ+/uuCZ5KeW4eFUWKWbu7Hs3NzXlxkKM1xdPDQ49m43EnlqXT\nNqbNTW+oTGEsk7HHSbvxXIqIw8NKr7yiWCKmSnJCc1NNXZvKa3K0qdG0NJM9SZQe01E5rko5aG8/\nrv2dSPVKWzulEZVaSZdJRqhtYsK+V6+aJNHsk0/ad7x9264nmicUuff3fb4kD1ogza2uels3ios4\nPdq71eueuwalNTZmGyEFz7k5l6tlk0VPh7rJ0ZHXg1BiRPr58ND1XaLIAxtSliBeOFFxP7MuceAz\nMx5gEMSBmgLyiOY6efpzZmfGoX/Xfzd07Pc/pr+jAck7vsC0A8ECUwxcLcc1oGC7u+bQOh2v3E9N\n2ZtDNkGXhRQJ0DiKobduebceUCO9WFm6toATxtkQHdDaDmmBmRm/kWMxe93Ghuc05+c9fbKxYe9x\n7Zo7/EbDvtvFi+aYwJqTl6WgRWFoacmPqrDtuNnicdeVqddtrJw02AAhfFDw6iUrscGCz5+acgIL\nGuq8BjgpzE1QE7OzXujCyaJVw4mBIza1kZER7/jTG6VvbTlBh+YXkGw4BVAopLPS1JTCUUEje3dU\nT08oO57QQraiixNVJROR5qYaSsbevxJjsRFXqSyVa5HWtwdU2inqsD2iQmXAlgZjY65oNHL3rp9i\nECy7cMF19LkHwJsXi14nAmFCvn1szJtUQzZDq2hoyIXcCFZ6i+GciFmbRNDwKyioI/tAPQQ1T9Yp\nKTeaYYN9n5qysaPbgy5NCJY2RJaZtEut5rR/0oMUzznV9eoKJRLntjh6Zhz68SbQbf0z/VVHmpDW\nIBVABIODuP+yth/FaHJBlF4o+ALM5byjD5RncLgQYVik5Nw5rnNiwPlD/KB7PRBICoGTk44Pnp31\niPnuXVucBweOrKHXKI1wj47sNfTTBFEChhlRJnKpdO1ZWfHepeB4JT/hMEdsXrmcN1mgCIxE7duR\nMqOj7mTRrxkaMqcEvh0nQRciIrleFASNsNEoIf9LCzvazOHMqVcQzVIYRSIglzOnDnSUdNzoqKsG\nog8Pbn5uTgpBqdVXFc8MqxRGtDTX0BPTRxrLtpRNxzSROUmBLaZCNaFKNdJ+IaHdrZbqLWm7klG1\nNeAwPshp4PF7MdrwKW7etOty+7anGmFSttteBKSmAi57fNzmEYE2uhchEEagxFpG74V7JJ32oGJy\n0t4D/XXSYcgeJxJeR0I8i1RLJuMBEoqeIXhLPMl5HJcuOVgAvDkFblQXZ7qSIKR/EP+qVHydgz47\nh3IAZ8Khh/BL6h3qp/RziuF0SLGw89oLPNcNnlxyhT6QFbu77iA2N72fIhHE7Kz9vLbmGPVy2XWX\nkZC9ds0dN06DYiSwrHbboXIsQsmlU1GNm5nxqJ3XbW562uTSJXve7q4t7ljMW82BWwaKmc/7okYS\nGKlS8qQLC3ZTwbaj0NmbFgItxM1BpE7Rq1LxEw3F6VLJ89WJhOeCEX2igTWqfkT8bMJAJREBY1zk\nwZkbaN3ontCyjwiRtAtwUMk3EPS6EUFLpbzIVyze11oP+3vKFLfUSGaVGY1reaKk+cmWBuJtzYzU\nFNf7zccGlaoJlYtSrdbR6kZCjXxV+80xFSoDvtllMq5NfvOmfce1Nf/u5bKth/Fx+26xmEfAtF9D\no5wNgs4+w8OO8aZgTOcq6kX7+7759eLkOb0RWCQSFkEPDNha7d0AaDDDZg6kkfccG3MOB3IMlYpF\n6fm8k44kJ/6trdn4eou1nEaoRRFAIXvdK6FAiukcRulnwqFLf7Tn547+vf7icUIIR0JSKjhtcqVQ\ngHkc3RAYaJmMLRzywxCG5uZcFREdDZozkBpYWzNHT4EH/QtIIKgAchRGuwXMNQxFMMBjY64lvbHh\nyoncwIuL3sVlfd0eg0RFdAVhinQSqJ8QHLt7966Nj8IuvU5pAcbmSKOOctlztOSwyfkj1ETenFMB\n9HD0uS9dcqEkbjDSMjBQa7Xj80UjZaR9IRIhWEXPUnDrrZalknojTqJ1xM5gKxKlZ7MOueSab2zY\nZtJtRJ1av6V4OqmSMro0U9MTs0fKpDuaHG9rLNl43yu6obgOSglVq5H2DhPa36yo3klovzGieiN4\nSgFo3uysXWekKYhmEwkrTB4deeBBC0QiU054IKxQzVxYcPXFpSVf/72RL2lCom7gjiMj9tmgl+bn\nPUq/d8/ZmaQg0WphU0HiAWgw14KNFrjtxobT95GYXl93aYNWy7WA9vft517EDtBdumMtLnqNAX2m\nc2RnxKH3MkN/1X4jQmf35ghKNNorIgVMTfKUguRIAOB7kFCQ9kSDGuo95Ixi0aP0YtGinMuXHROe\nz3vEOTHhRdtm07sgUTxF8F9yAa6pKd3vSETkD7KlNyLf3/f0wOysa9eAlJmYcFQLET6ppp0dz7Gj\ngTI97VE6ynjZrN1wu7u+kRDFcQPipDnG84+0C1DGy5ddShemKcUv0ESkxWgrR3GNsVL8Qo8HujiN\nhQsFl3zFMaFfQgGafC245slJ78aTTttcUpDuNgEJW/c0Eh2pEUsqOxbT5cmyZqc6GhwIms7WFE7Q\nAOOwMKRKOVKtFnTnblytSlM79awqjYSv3aEhn79r12x+7t3zUwc65Qi0seFBxKFYz8ZJty1kLYaH\nDT0CzJA1hoIl4lm0RKS+AGw3l/PWeE88Yf+jj8Tn05OAtQC5jpMa91Iv45ronUIrKLUnnnDEFnIG\nrIN83sXhek+jbCo0NiGNJJ070a4z4tCxjjr6IfuRIqd0nACBoycqIJ8IioV8MnhYoFIUglqt4z1B\nad+1tua620Tp4+O2MKBQz8w4xbi3+ElxFOcDkgYCDk6fJgWjo7aYDw+dhcopgWYTdHy/d8++C3lz\nMPk05G21zIlBuCJqa7ftOzWbLot76ZKLhfUKKtH+jGiIG/jw0JwhRcxs1jc56huQeyjqov1CobgX\n304kjUYHBTa0OtCpIbWAqBcICwq4sZh9VrlszoN0DScLirFEo8DmSGdwalldtfEuLEi1mobvvaV4\nckClMKIn5st6Yr6s4WRbk+mGMicgGtUVtHc4oHaro3t7CRW2iip10tqujKhdbXjxmZMkLQPX132T\nIm106ZLN896eK1+SOqRhBSeviQnXIpqft+uwt+fNlwla0F/HySNwFY97c2jJ5qnVstfPzdm6XF31\n9Bw1J+RykZhAgwfIJYgc1E2pL5HGbLUcnXXvnqOtSK2yDmnkTtqn2bTHQK3BcIWhCg/jHNgZc+gb\nHquTQoARBsKFCA8sLBe80/GuLRQ3QWkg11qr+bGNNAjaIPTkJIdLgQhZWI5zHCVJTSAnQFGKnC95\nXLQywOg2Gn5spKoP+mJvzx3+4qI3nwD2RSON0VEvDGYyrg3DDQ3ufGvLMd8UuqanXdQKRzg5af9T\nOGYMnGKQ/wUP3m67SiUELxiEV6/6cZdCZqXiGyzMXP6xoVGc5aQFQolU2t6ejxs6O9K6vcXRet02\nYBz86KhrihQK/h0nJ72AOzcnZTIK9zY1EkpqhkFNjEtXJouanJAy6UhjqZMUR4MOjoZULTVVqcW1\nekdqNTraq4+avgsnFOoDIyMWfdIMguvcannP2ZUVd7Zs3OS0USjkdFKt2uYVghHTZmddlI4oGcSJ\nZP+TepmddeGzrS2XbLh61Z67uencC5w5UTr58t5uVSBseB6Et2zWa0U4fETjNjdd54cU0f6+fe6V\nK144ReMf5ur8vH9HTrrnxD6QQw8hfHcI4VYI4c0Qwk9+WIN6p3UkdRS9jVh0n1hAvpe0C3jT3sUJ\nrAtxLmCBNBggj0e+embGoxq0yTc3PXoGp8vOf/u2Y8mBTeHAkaYFzrix4QQoCogQh9CAhh2KyD+Y\naSLbmzc9L0zRlMiMoixdbmhpR9EJtEu77ZHU/Lx9p+vXXYmP1AskEaj4YPuJsFCMBP0COggZhWbT\nvvPIiDNUETXjxIKEAKclWtRRXB0ZOd6KbmjIYZ+wRyE11eve/ACHDmlGcjIXpzFgc+D3h4a8iTc1\niG7En8ptGNR5cExPzBW1NN/R8HCkyXRVwyeAMJZbMe3mDJu9di+hyn5Z+SirXHlAUb2rh08kPjBg\n4wLCCLppf9+c3Pi492Ht5UeAbQcGSZctovjpab8OsEeBx6KFLrkzJ1iimMppr1638c3M2D1x545/\nUVIqbNJsKiBgSDNK7vjpsgQZkPULQGFjw2UicPak8YCw9tZpyM83Gr6BA7M9Jx2NTuzQQwhxSX9f\n0vdIuinpB0MINz+sgfVaVB3WK1p65x9Ir1BIg9pPqoMqNzs1Oz5kG/K8RDBQpjm20ViZxQbOFpp+\nve5547U1GwcpGjQxcHqIfqF4Rw6QFAa4eRZfb0qHzQJFPHDW4LRh6YGjhyBEJEQLMRw9zFZa7x0d\n2fjIi3KsB7OfTLpUAQSt7W2bI9JLiYSdPICCkmMHM47c69iY3fTosKPHQhpHchYg8DbmnLwyKAY2\nQRix6+uOXKDgS9SH7C74eHKnvRKuU1M2TgTHRkddd3xh4T45KhOrqBklNJVt69rsoUbHEhpNNU+o\nwhi0mU+qWWuoUAq682ZbtXrQTmNClWK3EI6aIuOCDczGDxrl2jVzUisrdg3p0sQG3iuFjDMtFr2V\n4RtveBG/N/U2NeWRNLINwGjZgDc37bHxcbu+1H0ohEKqAz7bbh+XfgDpBDQW0EAiYb/fueN/TyRs\nDmo1W4c8zr2+vW2/QwikGxLInN1db4YueQBzDuyDROjfJunNKIruRFHUkPRPJX3/hzOst1kyqY9+\n33ccpyNLXtgAkie5g0awCqdASiAWs8VF6zJIEHt7fkxdWbH3mpjw7j7ZrC3m27cdigWcjkLfK6/4\nsRXnC14d9AGR81tv2edSdM3l7MaBBFMuO/3+zh17P9igOzv2nCtXXPp3Y8MhmvRuBBcPrZqGBHT0\nAaN8+7ZrxhQK1gSDzko4ZhwA+VvgcL0KeAcHNj42KujhQOLu3LG/LS257IFkn5PLOcQRJ8HNSH9W\noqnepsNo7CQS9nm3bvnYgF1y3dmgqlXb4FDCpF6B43/tNS8+V6s27tlZ21RzOQ2vvKp46KidTOvJ\n8T3NzUfKjgRlBysnKI5GKjUGtLKZVLnY0eu3Yqrnq9osZnWvlFFUKvsJAg0bSDZvveUF6o0NY46m\n09YWEDYw1wh9eHTPh4ddupaaDqSz+Xm/v+7edV0iTmHACUk5srG//ro958oV7337ta95YEMQBeIE\nxAu1JdKOXKudHXs8k/EiPoFb7xpjw6BHaalkz11Y8IIufVUHB+0Uw7ghICGUd8YtRCc8aoQQfkDS\nd0dR9N92f/9hSd8eRdGPPug1zz33XPTCCy+c6PP0i78o/diPPVYdvPv26FpVSeU1rpqG9P/qO/Vv\n9Sk9r09qVYt6uyLo+zfuySC9b4x73x5du6soOlkSI4TwYhRFz32j5yVO9O7vbyCfk/Q5SVpaepe0\nyTdrP/zD0q//uvSbv3lujkd9O7s2rJoS2lNVw/qj+pfK6khpVfSKLutlfVxVpR/2EPv2yFn1W/4J\nH8Shb0q62PP7YvexYxZF0c9L+nnJIvQP8HnSL//yB3p53/r2YdpA919W0iVJf/LhDqdvj7x94lv+\nCR8kh/5lSddCCJdDCIOSPiPp1z6cYfWtb33rW9/er504Qo+iqBVC+FFJvynTtf2FKIq+/qGNrG99\n61vf+va+7APl0KMo+g1Jv/EhjaVvfetb3/r2AeyMMUX71re+9a1vD7K+Q+9b3/rWt3NifYfet771\nrW/nxPoOvW9961vfzon1HXrf+ta3vp0TOzH1/0QfFsKepLsnfPmUpEdR5/JRHZf06I6tP673Z4/q\nuKRHd2znbVyXoiia/kZPOlWH/kEshPDCN6NlcNr2qI5LenTH1h/X+7NHdVzSozu2x3Vc/ZRL3/rW\nt76dE+s79L71rW99Oyd2lhz6zz/sATzAHtVxSY/u2Prjen/2qI5LenTH9liO68zk0PvWt771rW/v\nbWcpQu9b3/rWt769h50Jh356zai/4TguhhB+O4Twagjh6yGEH+8+/tMhhM0Qwle7/773IYxtNYTw\ncvfzX+g+NhFC+K0Qwu3u/+OnPKYbPXPy1RDCUQjhJx7WfIUQfiGEsBtCeKXnsQfOUQjhL3XX3K0Q\nwned8rj+Vgjh9RDCSyGEXwkhjHUfXw4hVHvm7udOeVwPvHYPeb5+uWdMqyGEr3YfP835epB/OL01\nFkXRI/1PJs37lqQrkgYlfU3SzYc0lnlJz3Z/HpH0hqxB9k9L+gsPeZ5WJU297bG/Keknuz//pKSf\necjXcVvWC+KhzJekPyTpWUmvfKM56l7Xr0kaknS5uwbjpziu/0xSovvzz/SMa7n3eQ9hvt712j3s\n+Xrb339W0l99CPP1IP9wamvsLETop9eM+htYFEVbURR9pftzUdJrkhYexli+Sft+SZ/v/vx5SX/s\nIY7lOyW9FUXRSYllH9iiKPq3knJve/hBc/T9kv5pFEX1KIpWJL0pW4unMq4oiv5VFEWt7q9flHUE\nO1V7wHw9yB7qfGEhhCDpv5b0hW/FZ7+XvYd/OLU1dhYc+oKk9Z4Of3VHAAAC8UlEQVTfN/QIONEQ\nwrKkj0t6vvvQn+8ej3/htFMbXYsk/esQwovdPq6SNBtF0Vb3521Jsw9hXNhndPwme9jzhT1ojh6l\ndfcjkv5lz++Xu+mD/y+E8Acfwnje7do9KvP1ByXtRFF0u+exU5+vt/mHU1tjZ8GhP3IWQshI+meS\nfiKKoiNJ/5ssJfSMpC3Zke+07TuiKHpG0vdI+nMhhD/U+8fIzngPBdIUrEXh90n6v7oPPQrz9Q57\nmHP0IAsh/JSklqRf6j60JWmpe63/e0n/JISQPcUhPZLXrsd+UMcDh1Ofr3fxD/ftW73GzoJD/6aa\nUZ+WhRAGZBfrl6Io+ueSFEXRThRF7SiKOpL+d32LjprvZVEUbXb/35X0K90x7IQQ5rvjnpe0e9rj\n6tr3SPpKFEU73TE+9PnqsQfN0UNfdyGEPy3pP5f0Q11HoO7x/KD784uyvOv10xrTe1y7R2G+EpL+\nS0n3u8mf9ny9m3/QKa6xs+DQH5lm1N383D+S9FoURX+75/H5nqf9cUmvvP213+JxpUMII/wsK6i9\nIpunz3af9llJv3qa4+qxY1HTw56vt9mD5ujXJH0mhDAUQrgs6ZqkL53WoEII3y3pf5D0fVEUVXoe\nnw4hxLs/X+mO684pjutB1+6hzlfXPi3p9SiKNnjgNOfrQf5Bp7nGTqP6+yFUj79XVjF+S9JPPcRx\nfIfsuPSSpK92/32vpF+U9HL38V+TNH/K47oiq5Z/TdLXmSNJk5L+jaTbkv61pImHMGdpSQeSRnse\neyjzJdtUtiQ1ZfnKP/NecyTpp7pr7pak7znlcb0py6+yzn6u+9w/0b3GX5X0FUn/xSmP64HX7mHO\nV/fx/0PSn33bc09zvh7kH05tjfWZon3rW9/6dk7sLKRc+ta3vvWtb9+E9R163/rWt76dE+s79L71\nrW99OyfWd+h961vf+nZOrO/Q+9a3vvXtnFjfofetb33r2zmxvkPvW9/61rdzYn2H3re+9a1v58T+\nf/Sr1f5/jDy+AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(y_pri, color='r', alpha=.1);\n", "plt.plot(y_pos, color='b', alpha=.1);\n", "# plt.ylim(0,50)\n", "# plt.legend()\n", "# plt.xlim(0,50)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kXRH5UER+aM0vEJGXROQT66/p/TUMysu1XulWowW0pt/2iW6APMJp/cGQ0Oq3\n0eK10+Sx0+K10+q34W+3jYluczggOzPKpo8zCSWh2m4X+fk6cqiyMolCGAzDJ5EhqQ7gBKWUT0TS\ngDUi8jxwHrBKKXWLiNwI3Ah8ZxRlnbB4PDrgIm68+Z7d0NY+7EYVkSh8vMvJxi0uNm5xsXlnJo2e\nvr9+lzPCvFkdHLygjUMP8LN4XjvO9JF3eGdlRmlssbO13MmBcwMjvv+EKSzUo9HFxfrhaTCMQxJp\nEq0AnzWZZn0UcDZwnDX/PuAVjEIfNJEIvP++tsx7GeAtLbof6BCVeUdQWP1ONi+sy2XDFhe+Nn2A\nWaUdHLHYx/SSEFmZEUTAJvpLjUYhHBZqGtPYstPJ/f8q5J5nikhPi3LQvHaOW+bl7GNacGaMnHLv\n9KcX5YUpLUqSqe5waD/Qrl26MYbBMA5JKGhMROzARmAu8Eel1HoRmaKU6qzyXgP07JvTue2XgS8D\nzJo1a/gSTzDKy7WLvLi4x4JwWLtasrMH7TevaXTwz1X5PP5yHh6fg5L8ECcvb+WQhW0csl8bxfmJ\nK01/u413trp480MXb36YxS/vL+WuJ4u49PRGzj+xeURiyUWgIDfMe59kkpvtIzNZ8el5eboxxuzZ\nxko3jEsGVW1RRPKAJ4BrgTVKqbyYZc1KqX5NSVNtsTutrfD66/ptv5d1XrEHdu8ZlHXu8dn43d+m\n8OxruSgFxxzs4/wTmzn0AD/2ERp3fGdrJn99soj1H2RTmBvmms/WccZRnhEZq23x2ijIDbNkfiB5\nOVONjVqhGyvdkEIkWm1xUGkdSqkWEXkZOA2oFZGpSqlqEZkKmOIYgyAa1SGKLlccZR5o18q8V2ZR\nfJSCF97I4dcPTKHVb+ezJzdx0anNTCse+frfSxe088fv7OH9bU5ue2gKP7xzGo+/nMe3Vtay/z7D\n84HnuaNU1aczrSjMlMIkuV7y83VE0cyZcQrPGwypTSJRLsWWZY6IZAInAx8BTwOXWatdBgxc8d3Q\nRWWlHgztFdUCUL5L+3QTiGqprEvj67+ayff+NJ1pxSEe/NFOrr+0blSUeSyL5gb46//t4qarqqiq\nT+eym8r45f1T8LcPz1TPd0f4cLszeVEvNhukp5uKjIZxSSIW+lTgPsuPbgP+rpR6VkTWAX8XkS8C\nu4DPjqKcE4pAQJfF7ZUNClrLNzT0kV3UnX+tyeFn90zFZlPcsLKGC05qHjHXSiLYbHDmUR6OO9jL\nnx4r5u930EcMAAAgAElEQVT/yWfd+1n89GuV7Fc2tESdjHSF129je0XGkPcxbHJzdRJXWdm4z8o1\nTC5Mx6Ik8N57ulhiL/d4IKBDXtIckNH3oFwkCrc9NIW/vVjAwfv5ufnqKkqT5aKI4e2PMvnen6bT\n7LXzzYvruOCk5iH5wqNRaGixc+RBfnKS1eWopUU/VE3xLkMKYDoWpSjNzX1k8IdD2mwX+lXmgaDw\nnd/N4G8vFnDxaY386cbdKaHMAQ7er52Hf7KTQ/dv4xf3l3LzX6cSHkKZFJsNXJmKD3ZkJi95MzdX\nF9WxGgUbDOMBo9DHkGhU56643XEq39bUaAs9K55TXePx2fjqLbN49e1sblhZw3WX1OFIjZ7QXeS5\nI/zm+j1ceU49z6zO47t/mE4wNHgzPTszisdnS16tFxHtS9+xIznHNxiGgFHoY0h1tQ5V7BU8EQxq\ns93dtzKvaXTwpR+XsWWnk59dU8mFpzSPrrDDwGaDqz/TwPWX1vDyhhy+eesM2gODV+oF7ggf7XIO\n6YEwInSW2PX5Bl7XYEgBjEIfI0KWRyVuWHlNjf7bR2/QHZXpfPHmMmqbHPz+23s46bDx4Qa46NRm\nfvClKt76MIuv/XwWrf7B3W4OB6go7KxKUts6EV13fteu5BzfYBgkRqGPEbt26TT/Xn0pOjp0DGN2\n/GiKdz/O5MoflRGOCHf+7y6WLWwbfWFHkE8f4+GWayvZUu7k6p/OpsU7OB9Rfk6EHRUZtA3Bwh8R\ncnN1Y9e28XXdDZMTo9DHgPZ22LatD+u8uloPhMaJOd/0cSZf+/ks8txh7v5+OfNnj8+a3Scc6uW2\n6yoor07nG7+eOSjlbLNBmkOxfU+SmmHbbPpVYffu5BzfYBgERqGPATt29JEnFAhoH20c6/zDHU6+\n/suZlBSEuON/dzG9ZHQThUabFYv8/PSrlWze4eRbv50xKL94njtCRV0a3kG6bEaM3Fz9imWaYBhS\nHKPQRxmfTxt3ublxFu7Zo7V8D03/8a4Mrv3FLPLcEW7/7m6K8iZGi7Tjlvn43pXVrP8gmx/8ZRqR\nBEMSRXTC0dZdSbLS7XYtREVFco5vMCSIUeijzI4dOvqtV/Eqrxdqa3tlIlY3OLjmF7PIdEa5/bu7\nmVKQGjHmI8VZx3j4+oW1vLQ+hz/+vWeJyb7JzY5S15RGc2uS4jRzc3U5gND4flMyTGyMQh9FvF49\n3tnLOldKa3qXq1tAeltAuO7WmQTDwh+/vXvU67Eki0tPb+L8E5u5/19FPLM63qtLfLJdUbYkq7G0\nw6ETCWprk3BwgyExjEIfRbZv19Z5ryQij0dr+8zMrlnRKHz/z9PZXpHBLddUUjYtOLbCjiEicMOl\nNRx2gJ9b7i1le0ViYYlZmVFaWu00tAyqSOjIkZsLn3xieo8aUhaj0EcJr1ePd8a1znft6pVd9Od/\nFvPKRjfXXVLLikX+sRM0STgccPPVlWRlRvnuH6YT6EhskDQnK8LHuzKSY6Wnp+uB7MbGJBzcYBgY\no9BHie3bISMjMet89dvZ3P10Eecc18znUjgDdKQpyotw89VV7Kh08uuH4ja86kWmU9Hqt9PoSZIv\nPSvLlAMwpCxGoY8CXq8OL+9lnUciWtNnZ3XNqml08MM7p7JgdoBvraxNXqeeJLFikZ/LzmzgiZfz\neWl9YqVqs10Rtu5Kki89Kwuamkw5AENKYhT6KNAZ2dJLOdfW6ld2q5piOAL/+6fphMLCz66pICM9\nSb00k8xXPlPPgfu28+O7piZUjMvlVHi89uRFvDgcJoTRkJIYhT7C+Hx9+M4D7bojdO7etnJ/ebyY\ndz928f+uqGFW6cSMaEkEhwN+8tVKQD/gwglEama5omxLVvZoZzkAE8JoSDGMQh9hdu3S9Vq6WedK\nwc5yK11UR2hs3OLi3mcKOee4Zk47vHXM5YxEoSMotAUEf7uNtoAQ6JCElOloML0kxP99sZoPtmdy\n+z8Hjk/PzozS6HEMujbMiGC3W104Gsb+2AZDPxiFPoK0t/eRFdrUpCMjrCQif7uNH94xlRklIa6/\nZPTjmjuCQovXTl2Tg/pmO/XNdnxt+qvPTI/izoqQ5YxityvaOmzWOg4aPVrRj5Wv+qTlXs49vpn7\nni3ijfezBlw/MyPKtt1JqsSYnW0GRw0px4ABvSIyE7gfmAIo4A6l1G9F5CbgS0C9ter/U0o9N1qC\njgd279bGW7es0FBID4TGZITe9nAJNY1p3Pm9XWQ6R0dbBoKCz28jGtXuiZmlQfKyI7icUZzpURz9\nfPOhMPja7LT6bNQ2O2hocaCAzHRFtis6qgO3119Sy7sfZ3LTHVN57Bc7yM7sO+bbnaWzR1u8QfLc\nY1weITNT9xFsbYWcnIHXNxjGgEQyNMLA9Uqpt0XEDWwUkZesZbcppX41euKNH4JB7SLvVVFxzx6I\nRvQoKbBmUzZPvpLPZWc2cND89hGXw9duo63dRlZmhAP2DVCYGx70QyPNocvW5udEmD0tRCgMLV4H\nFXVp1DY6ECDXHSFtFPJ7nBmK719ZzRduLuMv/yzi+kvr+l2/00pfdsDIX8sBSUvTqcBGoRtShAF/\nkkqpaqDa+t8rIluA6aMt2Hijtla7yrvV2fJZ2UUFBQC0+m386K9TmTszwFXnjaz/tS0geP12CnLD\nHLhPOwW5kRGzpNMcUJwfpjg/TEdQqG5wsL0ig1DYRp47POKK/cC5Ac49voVHXyzgzKM9LOinbHCn\nle71d+DOGuMMzpwc/cCeN49+X3kMhjFiUD50ESkDlgLrrVnXish7InK3iMSr9o2IfFlENojIhvr6\n+nirjHuiUV3vvJvvPBqF7Tv0q7mlWX//aAktXjs3fbmK9LSRcbWEwlDXZMcmsPxAP8sPbKMwb+SU\neU8y0hVl00Ice7CPA/dtx9+ufe6JVk5MlGs+W0dudoSf31s6YKZ9epqiPBldjex2nVtgBkcNKULC\nCl1EsoF/At9QSrUCtwP7AEvQFvyv422nlLpDKbVMKbWsuDjx6nrjiYYGHV6ent5jps/XleL/7seZ\nPPFyPhee2sR+ZcOvq60UNLbY8bbZWTyvncMX+0dVkffE4YAZU0Icc7CPeTM7aPI48PhGbow9JyvK\n1y+u471tLp56Na/fdXOzI1TUpSenq1Hn4GhSspwMhu4k9AsUkTS0Mn9IKfU4gFKqVikVUUpFgTuB\nw0ZPzNRm2zb9u+4iHIbdu7oGQsNh+Ok9pUwpDHHVecN/Swl0CHVNDmZM0Zby9JJw7/K8Y0SaA/ad\nGeTopT5ysqLUNTlGLPTxjCM9HLzAz+8fLek3iUgE7PYoe2qTYKW7XNDSoiOZDIYkM6AaEBEB7gK2\nKKVujZk/NWa1c4EPRl681Mfj0Z9utbYaGiAY6mog+tC/C9he4eRbK2twDTOqpanVRjAkrFjkZ/99\nAiPmuhkuWZlRDlnYxqK57TR77SPSXUgEvnN5Df6Ajd89WtLvunnuKOWV6YPqhDRiuN3w0UfGSjck\nnUR+dUcCK4ETRGST9Tkd+IWIvC8i7wHHA98cTUFTld27e7hawmE907LOq+rTuOOJYo452Mtxhwy9\n/kckCrWNDorywhy5xE9Bbup1MRLRbpijl/pJS1PUN9uHreP2nRHk0k818szqPDZtzexzPbt1J1fX\nJ2Fw0uXS4YvGl25IMgMqdKXUGqWUKKUWK6WWWJ/nlFIrlVKLrPlnWdEwk4pAQJf06DYY2tioY88d\nDpSCX94/BZvAt1fWDPk4HUGhodnB/vu0s2R+6ljlfZGVGWXFgX5mlQapbXIQGqYL5sqzGygtDPGz\ne0v7defkuiNsq8ggkoxnXXa2rpVurHRDEjGZosOgpkYnEXUNREYisGevdf7yBjevbXJz1Xn1lBYN\nTav52m342mwsP9BP2bTQuKnGaLfD/vt0cMh+bXh8dnztQ7/VMp2KG1bWsL3CySMvFPS5XpoDgmGh\nvjlJVnqn/81gSBJGoQ+RaBR27uxhnTc3Q0cQ0tLoCAq3PVzCvJkBLjx1aANmLT4bSsERB+kIlvFI\naVGYIw/yIygaPUO/3Y47xMfRS73c8UQxDS19D5DmWEW7kmIoO536pjAYkoRR6EOkqUm7XNI6q70q\npf0vWXp09JEXC6huSOe6S2pxDKF+VJPHRmaG4vBFfrJd47vlWbYryopFbRTmRqhrGnoxresuqSUU\nFv7cT/EuZ4bC22ZLTtEut1u/trWOfbE1gwGMQh8y5eU9Ilt8PvD7IcNJk8fOPU8VcvRSL4ce0Dbo\nfTc028lzRzl0f/+EqZGenqZYMr+d0qLQkJX6zCkhPntyE0+/mscnu/sunevMUJRXJyGEUUQnkm3d\nanzphqRgFPoQ8Puhvr5H7HllJWRoJXLHE8UEgja+fmH/dUjiUd9sp6QwxNIFbaNSKyWZ2O2weG6A\nacUhapscQ9J5V57TgDsrwm0Pl/S5vdsVpabBkZxEI7db3xym76ghCRiFPgSqqnrUbAm06x+wK4ud\nlek88XIe553QTNm04KD2W99sp7QoxOK5gQlbGsRuh0VzA8yZ1kFd0+DDGnOyolx5TgNvfpjN6+/G\nL7GrE41UQt2PRoWcHNi8mQFrFhgMI4xR6IMkEtFNLLoNhtbUaE0lwm//VoIzI8qXzx1cTHJDs53i\n/DCL9g10f1hMQGw22K+sg1mloSFFpJx/YjOzSjv47SNTCPcxVpybHaW8Oj05DTsyM/VrXO3o17o3\nGGIxCn2QxISZa4JBqK4Bt5s3P3SxZpObK85qID8n8aiUplYb+TkRDprXPuGVeScisHBOgJKCEI39\nRK3EI80B/3NhHTurMnjy5fh1Xhx2CEeERk+SXnXy8mDLFpLWAsowKTEKfZCUl+vG713U1YFABBu/\neXgK04qCXHhKc8L78/hsuDIUSxa0T1g3S1/Y7XDQvHZysiI0tw7uVjz2YB8H7+fnz48Xd3Vf6kl2\nZpQdlUnqO5qerh/2lZXJOb5hUmIU+iDw+7WF3qXQw2Edqpidzb/X5vDxbidf+2x9wpEpvnYbAhy8\nX1vKZ3+OFg4HLN2vHWe6GlS1RhG47pI6PD479z1bGHcdl1PRMkJ1ZYZEfj58/LFW7AbDGGAU+iCo\nru4xGNrcDJEIYRz89cli5s8OcPLyxGKQA0Gho0NYtn/bqLWhGy9kpCsOWdiGwKAiU/YrC3DSYa08\n+lJ+n3HnDruiqiFJg6MOhx4YrahIzvENkw6j0BMkGu0xGKqU7laTlcXzr+eypzadq86rT6iMbTgC\nHq+NZfu3jX2XnRQl06k4eGEb3jb7oNzOXzq3gfYOGw8+F78kQK47wq5kDY6C9qVv32586YYxwSj0\nBGlu1m/OXX5ujwfa2wnbM/jrk0UsnNPOMUsHrqaoFDS0OFg0N5CSFROTSW52lMVz22nwJB6jvs/0\nIKesaOXRlwri1ky323SlyqbWJA1QOBxamZuIF8MYYBR6guzapaPRuqioAKeTZ9fkUVmfzlXnNSRU\nOKuhxc6caUFmloZGTdbxzPSSEGVTg4OKfLny7AYCQeGBPqz0LKdiR2USMkc7yc3VlRhNXLphlDEK\nPQE6OrSB1ZUZ6vOBx0Mo3cVfnyzigH3aOfKgga3zFq+dfHeEBbMDoyvwOEYEFswOkJ0VTXgwc870\nIKeuaOXvfVjpWZlRmlsdyRsczciA9nadkWYwjCJGoSdAXV2PMrk11ZCWxlOv5lHTmMbVn6kf0DoP\nBAWFYvEkijUfKg4HLJnfTiAoCddSv/LcBoIh4cHn41vpaQ7FntokDY6CjnjZssVEvBhGFaPQB0Ap\nHXveZZ13dEBdPR3pbu55uojF89pYscjf7z4iUfB47Ry8oH3SR7QkSlZmlIPmtdOUoD+9bGqQEw/z\n8s//5uOPU3s9NzvCnpoktagDXZZTKd3NymAYJYxCHwCvV3tYnE5rRn0d2IQnV+dT25TGVecNbJ03\ntDhYMNsMgg6WqcVhZpUGafIk9kpz6emN+NrsPPVqbq9lNhsodBu/pJGbq+ulJ6WlkmEykEiT6Jki\n8rKIbBaRD0Xk69b8AhF5SUQ+sf7mj764Y091dUxkSzgMFZUEM9zc+0whSxe0cdgA5XFbvHaKcsPM\nmW5etYfCgrIAGRnRuFZ3Tw7YJ8DSBW088kJB3BovOVlRdlalJ6+ybWfES319kgQwTHQSsdDDwPVK\nqf2BFcDXRGR/4EZglVJqHrDKmp5QRCI61Dwnx5rR3AzRKM+vL6C+OY0rzuo/siUYEqJRWDS3PaH4\ndENv0hywdH47vnZbn4W4Yll5eiPVDem8sC6n17KMdIW/3YbHl8RBjOxs2LEjecc3TGgSaRJdrZR6\n2/rfC2wBpgNnA/dZq90HnDNaQiaLlpaYQlzRKOzeTdTp4v5/FTJ/dqBf37lS0NRqZ/E84zcfLjnZ\nURbt205jy8DukqOW+Jg3M8A9zxQRiRMlmJ5G8srqgu6K0tKiPwbDCDMou1FEyoClwHpgilKq2lpU\nA0zpY5svi8gGEdlQP85eNffsifGdt3ogEGD1h4Xsqs7g82c09mudN3nszJoSZEqhyRAcCWZMCVFa\nFKLF2/8ta7PBFWc3UF6VwctvuXstz8mKUFGblnD0zKjgcsG2bUkUwDBRSVihi0g28E/gG0qpbgVL\nlFIKPebUC6XUHUqpZUqpZcXFffeCTDWCQR177u7UCRWVqAwn9/2rkGlFQU46rO+aLYGg4LArFpR1\njI2wkwAR2H9OAAV0BPsfhT7hUC9l0zq466miXv7yzsHRodRhHzE6uxoZK90wwiSk0EUkDa3MH1JK\nPW7NrhWRqdbyqcDg+62lMI2N2ssigk4K8XjYVFHI+9tcXHJ6U5+Nn5XSIYoHzW+ftBUURwtnhmLx\n3AAtPlu/A5t2G3zh0w18ssfJ6neyey13u6LsqMhIbtvPzEydPWp6jxpGkESiXAS4C9iilLo1ZtHT\nwGXW/5cBT428eMlj166Y2POGBrDbuO/ZQvLcYc4+pm/LqsljZ1ZpkMI8E5o2GpQUhJk1JTRgKOOp\nh7cyvTgY10p3Zii8bUksqwt7rfSmpuTJYJhwJHJHHwmsBE4QkU3W53TgFuBkEfkEOMmanhC0temA\nFpcLHepSVcW2lkLWbHLzuZObcWbEt6o6goLdrpg/27haRpP5sztw2BWBflwvDjtcdmYjm3dk8vZH\nrl7L0xyKyvokDo6C6T1qGHESiXJZo5QSpdRipdQS6/OcUqpRKXWiUmqeUuokpdSEMTXq62Pqnntb\nIRzm/udLcKZHueCkvrsRtXjtLJobMK6WUSY9TXHg3ACeAVwvpx/pwe2K8Niq3m3q3FkRKurSkpvj\nk5mps9bGWbCAIXUx0dE9UKqHu6W6hpo2Ny+8kcu5x7eQ546vAVq8NqYWBykpMFEtY0FJQZjpxaF+\nuxw5MxRnHt3Cfzfk0NCjeqPDDuGw9NkYY8zIyYGtW42VbhgRjELvgc+nW81lZACBADQ18bfV00HB\nJac1xt0mHNbKYT/jahlT5s/qIBSWfhOOPnNiC5GI8NSrva10Z4aiIpkx6aDjYjt7GxoMw8Qo9B7U\n1MSk+jc10RZ28OSreZxwqJfSovjWd2Org4VzAiaBaIzJdCrmzwrELZnbSdnUIIfu7+eJl/N7JRpl\nZ0apbkhLXsGuLkGydcSLwTBMjEKPIRqNSfVXCqoqee7dGfja7Fx4SvwhAn+7jdysCDOmmIYVyWBW\naYiMNNVvbPr5JzVT05jG65u6hzDabKCUDKqZxqjgcukOWK2J9aM1GPrCKPQYWlt1dVyHA/B6UYEg\nj/5Ht5dbPK+91/pKga/NxgH7BkytliThcMD++wT69YUfu9RLUV6Ix1b1rh/ndkXYWZ0xmiImRloa\nVFYmWwrDOMeooRiqqyG9s1NZfT1v7ihkZ1UGnzulOW6af7PXxqzSYJ8DpYaxoaQgTEFuGF9b/NvZ\n4YBzj2th3ftZveq4ZDoVHq+9z23HjJwcXSs9ZN70DEPHKHSLaFQbSNnZQDgEdXX8bfU0CnLCnLK8\n96twOAIqKsydaQZCk40ILJwTwN/edxjjOce3IMCTcQZH7fYoNcmsk66F0K98NTXJlcMwrjEK3aJb\nZcUWDxV16ax51815JzTHjStv8jiYPzvQZ5KRYWzJzY5SNi1Icx/Fu6YUhDlyiY+nX80j3GNsOzcr\nyq7q9ORHDnY2kzYNMAxDxCh0i5qaGHdLTQ3/eGMGNht85oTeaf6BoODMiDLTDISmFPvO6EBFpZfC\n7uS841to9DhY/U73KowOBwTDSa6TDvoG7OgwiUaGIWMUOtogqqy0KisGAgTqvTyztogTlnkpzu+t\nHTxeO/vPCZhmzylGRrpiwewAzX0MkB5xkI8pBSEef7m32yUjLZrcOumd5OSYol2GIWMUOjpiLBy2\n0v2bm/nPu0W0+u185oTeaf6+dhsFuWGTEZqizJgSIiM9fp0Xuw3OPraFN97P7qW83a4oVfVJrpMO\nOtHI5zNFuwxDwih0YtwtSkF1Nf9cO43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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import tmean\n", "\n", "plt.plot(pri.index, np.median(pri, axis=1), 'r', label='prior');\n", "plt.fill_between(pri.index, pri.quantile(.1,axis=1, interpolation='higher'), \n", " pri.quantile(.9,axis=1, interpolation='higher'), color='r', alpha=0.2)\n", "plt.plot(pos.index, np.median(pos, axis=1), 'b', label='posterior');\n", "plt.fill_between(pos.index, pos.quantile(.1,axis=1, interpolation='higher'), \n", " pos.quantile(.9,axis=1, interpolation='higher'), color='b', alpha=0.2)\n", "plt.title('0.95 range for Prior vs. Posterior Trajectory\\n with Median trajectory')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our uncertainty about the initial velocity really drags down our median guess about the trajectory path (this median should really be weighted accrding to the way distance scales with velocity). The data about velocity upon exit really influences our belief about the entire physical system\n", "\n", "To properly \"average\" our trajectory, we need some way to define the space of functionals and average on that, i.e. somethign like Dynamic Time Warping, perhaps. " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "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": "3.6.3" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }