{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Gaussian mixture demo using PyMC3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is new?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "https://pymc-devs.github.io/pymc3/notebooks/gaussian_mixture_model.html" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Wed Nov 16 08:42:53 CST 2016\r\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/kersten/anaconda/envs/pymc3/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n", " warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n" ] } ], "source": [ "import numpy as np, pandas as pd, matplotlib.pyplot as plt, seaborn as sns\n", "%matplotlib inline\n", "sns.set_context('paper')\n", "sns.set_style('darkgrid')\n", "\n", "import pymc3 as pm, theano.tensor as tt\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(12345) # set random seed for reproducibility\n", "\n", "k = 3\n", "ndata = 5000\n", "spread = 5\n", "centers = np.array([-spread, 0, spread])\n", "\n", "# simulate data from mixture distribution\n", "v = np.random.randint(0, 3, ndata)\n", "data = centers[v] + np.random.randn(ndata)\n", "\n", "plt.hist(data);" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Applied stickbreaking-transform to p and added transformed p_stickbreaking_ to model.\n", "Applied interval-transform to sd and added transformed sd_interval_ to model.\n" ] } ], "source": [ "# setup model\n", "model = pm.Model()\n", "with model:\n", " # cluster sizes\n", " p = pm.Dirichlet('p', a=np.array([1., 1., 1.]), shape=k)\n", " # ensure all clusters have some points\n", " p_min_potential = pm.Potential('p_min_potential', tt.switch(tt.min(p) < .1, -np.inf, 0))\n", "\n", "\n", " # cluster centers\n", " means = pm.Normal('means', mu=[0, 0, 0], sd=15, shape=k)\n", " # break symmetry\n", " order_means_potential = pm.Potential('order_means_potential',\n", " tt.switch(means[1]-means[0] < 0, -np.inf, 0)\n", " + tt.switch(means[2]-means[1] < 0, -np.inf, 0))\n", "\n", " # measurement error\n", " sd = pm.Uniform('sd', lower=0, upper=20)\n", "\n", " # latent cluster of each observation\n", " category = pm.Categorical('category',\n", " p=p,\n", " shape=ndata)\n", "\n", " # likelihood for each observed value\n", " points = pm.Normal('obs',\n", " mu=means[category],\n", " sd=sd,\n", " observed=data)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [01:25<00:00, 11.26it/s]\n" ] } ], "source": [ "\n", "# fit model\n", "with model:\n", " step1 = pm.Metropolis(vars=[p, sd, means])\n", " step2 = pm.ElemwiseCategorical(vars=[category], values=[0, 1, 2])\n", " tr = pm.sample(1000, step=[step1, step2])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1I2S5M8n3quFwZzIMyMlJp9beqA/UKUjjE780pwd7nNcW38QwDGzZ2Tizs8Ec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\nL0LpWnr27MnatWtZunRpq68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GIs0VUnY7zqKiDnuvR+Lq1RtHXh6hykpC5Xtw9eptWSwi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KsOEREFtEcffRRnzpxBQkKC92uCIFxzQwoA7rrrLtx1113XvB25UnFScyIiooDT6obUgQMH8Pe/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plots.traceplot(tr, ['p', 'sd', 'means']);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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pqT+esO7WmTh45IjK7v+zwsNPLgqj8QgP9866FHfcccdJ60ed6NVX\nX/VgNL9NQQFTKMzGYpHCwoLIjQmRG/MiN+ZFbszreG7OlttHSH388ceuny0Wi4KDg3mcMIB6k1Xk\nUN/wuq1zhbrZ5nDo6sjIOh274WCeeoS0/E0FpbM5V6oZyXVzVOffdC7gbcOGDfN2CAAAAF7l9oLU\n/v37a23n5OTU2j6+qCYA/BbZh4p0+/kXeDuMc0rWIYeyDxXp2+LDSrro0l899so6Lnpfn+e+mJ2l\n9/Z+r6KKijNabwwwk+HDh7t+djgc2rRpk3x8fHT55ZcrKIinCQEAgHOf2wtSM2fOVFZWljp37iw/\nPz/t2LFDrVq1UrNmzWSxWFjgHMBZ+SR+sLdDOOd8dsNQb4fwq+6J7n7GT/gDzGrt2rV6+OGHFRUV\nJafTqb/85S+aN2+eevdmGjIAADi3ub0gFRUVpYceekhXXlmzAG5mZqZeeeUVzZkzx91NAwAAmNqz\nzz6rhQsXqlevmgcMfPPNN5o2bdopFyAHAAA4l/ic/pCzs3v3blcxSpJ69eqlH374wd3NAgAAmJ6/\nv7+rGCVJF198sdz8vBkAAABTcHtBymKxaN26da7tVatWnfGi5itWrNCQIUMUHx+vefPm/eJxWVlZ\n6tmz528NFQAAwKO6d++u9957z7W9Zs0aRUf/tidHAgAANCRun7KXlJSkBx54QE6nU4ZhqGXLlr9a\nVPq5goICJScna+nSpQoKCtL48eOVlpammJiYWseVl5drxowZqqqqqu9bAAAAcIt169bpnXfe0eOP\nPy6r1apDhw7Jx8dHKSkpslgs2rp1q7dDBAAAcAu3F6QuvfRSffrpp9qxY4eaNWumTp06yWq11vn8\n1NRU9e3bVyEhIZKkhIQELVu27KSC1FNPPaWxY8fq66+/rtf4AQAA3OXtt9/2dggAAABe4faCVGlp\nqWbNmqXdu3fr+eef1/Tp0zVlyhQ1a9asTufn5eXJZvvp0eA2m025ubm1jlm7dq2OHj2qgQMHsu4C\nAABoMMLDw7V+/XoVFRXVev/GG2/0UkQAAACe4faC1JNPPqmAgAAVFhbKz89PBQUF+sc//qGnnnqq\nTuc7nU5ZLBbXtmEYtUZYFRQU6MUXX9SiRYskqdaxAAAAZnb//fdr3759atOmjes9i8VCQQoAAJzz\n3F6QyszM1AcffKDExEQ1b95cc+bM0dChQ+t8fmRkpDIyMlzb+fn5tUZMffrppzp06JBuvfVWGYYh\nwzA0fPhwvfHGG2e8eDoAAIAn7d27V8uXLz+j5QwAAADOBW4vSP28g2WxWM6o0xUTE6O5c+fKbrcr\nODhYKSkpGj16tGv/TTfdpJtuusm1HR0dXetpNQAAAGYVFRWl8vJyBQQEeDsUAAAAj3J7Qap79+5a\nuHChqqqqlJ2drddee009evSo8/kRERGaPHmyxowZo8rKSsXFxSkuLk5JSUkaMGCAYmNjax3PlD0A\nANBQjB49WsOGDdOll14qX9+fumVPPvmkF6MCAABwP7cXpB555BE99dRTstvtGjNmjK6++molJSWd\n0TXi4+MVHx9f670ZM2ac8tjt27f/5lgBAAA86emnn9bll1+uDh06eDsUAAAAj3J7QeqTTz75xeIR\nAABAY8doKAAA0Bi5vSD1yiuvaPjw4e5uBqgTR3m5t0MAYBKO8nI19XYQaPS6du2qzMxM9erV66yu\ns2LFCs2bN0+VlZUaNmyY7rvvvlr7N2zYoOTkZFVVValdu3aaOXOmgoKCVFJSosmTJ2vv3r1q3ry5\nZs2axWgtAADgERbDMAx3NjBx4kRFRUWpd+/eatr0p67/pZde6s5m6yQ/v9jbIcCDnE6nCgsLvR0G\nABMJDQ2Vj4+Pt8OAF4WHB3m1/ZEjR2rr1q2y2Wzy9/d3vb9q1ao6X6OgoEAjR47U0qVLFRQUpPHj\nx+vOO+9UTEyMpJr//1177bV67bXX1LFjR82aNUs+Pj6aOHGinnjiCbVo0UL33Xef0tPT9dxzz2nJ\nkiV1bLdY7u1F4kxZLFJYWBC5MSFyY17kxrzIjXkdz83ZcvsIqc2bN2vz5s16//33Xe9ZLBatWbPG\n3U0Dtfj4+Cg8PNzbYQAA4DJp0qSzvkZqaqr69u2rkJAQSVJCQoKWLVvmKkj5+PhozZo1slqtqqio\nUF5enrp16yZJ+vTTT/X6669Lkvr27avCwkLl5uYqMjLyrOMCAAD4NW4vSK1du9bdTQAAADRIl19+\nuYqKilRWVibDMFRdXa29e/ee0TXy8vJks9lc2zabTbm5ubWOsVqtys7O1rhx4+Tv76+HHnrolOeG\nh4fXuSDFg43N53hOyI35kBvzIjfmRW7Mq75y4raC1L333qt//vOfkqRdu3apS5cu7moKAACgQXrh\nhRdc/aXjqyhERUVp+fLldb6G0+mU5YSeoWEYslqtJx0XHR2ttLQ0LV68WBMmTNCSJUvkdDprHWMY\nRp2nsYaGene6I34ZuTEvcmNe5Ma8yM25y20Fqf3797t+njx5st577z13NQUAANAgvfvuu1qzZo1m\nzpypRx55RJ999pm+/PLLM7pGZGSkMjIyXNv5+fm1Rj2VlZUpPT1dsbGxkqTExEQlJye7zj3x+IKC\nglrn/prCQtb0MBuLpeaLG7kxH3JjXuTGvMiNeR3PzdnyyEqubl43HQAAoEFq1aqVWrdurc6dO2vn\nzp26+eabtXv37jO6RkxMjNLT02W321VVVaWUlBRdc801rv2+vr5KSkrSrl27JEkfffSR+vTpI0nq\n37+/3nnnHUnSxo0bFRAQUOeClGHwMuOL3Jj3RW7M+yI35n2RG/O+6oPb15CSVGsYOQAAAGr4+vqq\nsLBQHTt2VGZmpq6++mqVlJSc0TUiIiI0efJkjRkzRpWVlYqLi1NcXJySkpI0YMAAxcbGavbs2Zoy\nZYoMw5DNZtOMGTMkSRMmTNBf//pXDR06VP7+/po5c6Y7bhMAAOAkbitIVVdX6+DBgzIMQ1VVVa6f\nj6vrb98AAADOVaNHj9Z9992n+fPna9iwYVq5cqW6du16xteJj49XfHx8rfeOF52kmsXTly5detJ5\nQUFBev755888cAAAgLNkMdw0ny46OloWi0WnurzFYtH27dvd0ewZyc8v9nYIAADAi8LDvb9Q6tGj\nR9WkSRPl5eVpy5Yt6tevn5o0aeLtsE6roIA1PczGYpHCwoLIjQmRG/MiN+ZFbszreG7OlttGSGVn\nZ7vr0gAAAA1ecXGxfHx8FBAQoNzcXK1YsUI9evRoEMUoAACAs+WRRc0BAADwk82bN+vaa6/VV199\npeLiYo0cOVKrV6/WY489puXLl3s7PAAAALejIAUAAOBhs2fP1pw5c9SvXz999NFHCgkJ0VtvvaXX\nX39dr7zyirfDAwAAcDsKUgAAAB5WWFiomJgYSdKmTZt07bXXSpJCQ0NVUVHhzdAAAAA8goIUAACA\nh/n4/NQF+/rrr3XZZZe5tktLS70REgAAgEe5bVFzAAAAnFrLli31zTffqLS0VA6HQ3369JEkpaen\nq23btl6ODgAAwP0oSAEAAHjYgw8+qLvuukvFxcWaMmWKmjZtqvnz5+ull17S/PnzvR0eAACA21GQ\nAgAA8LBevXpp/fr1Ki8vV3BwsCTpsssu07vvvquoqCgvRwcAAOB+FKQAAAC8wN/fX/7+/q7tE9eR\nAgAAONc1iEXNV6xYoSFDhig+Pl7z5s07af+2bds0atQoJSYmatSoUcrOzvZClAAAAAAAAKgL0xek\nCgoKlJycrDfffFPLly/Xpk2blJaWVuuYKVOm6OGHH9b777+vBx54QFOmTPFStAAAAAAAADgd0xek\nUlNT1bdvX4WEhMhqtSohIUHLli1z7TcMQ+PGjXMNc+/WrZtyc3O9FS4AAAAAAABOw/QFqby8PNls\nNte2zWarVXCyWCwaMWKEa3v27NmKi4vzaIwAAAAAAACoO9Mvau50OmWxWFzbhmHIarWe8rjHH39c\nWVlZWrRokQcjBAAAAAAAwJkw/QipyMhI5eXlubbz8/NrjZiSpIqKCv3pT3/Snj179PrrryswMNDT\nYQIAAHjFb334S2VlpSZNmqShQ4cqMTFRGzZs8HToAACgETN9QSomJkbp6emy2+2qqqpSSkqKrrnm\nmlrHPProo/L399f8+fPVvHlzL0UKAADgWWfz8JcPPvhA1dXV+vDDD/X000/rkUce8cYtAACARsr0\nU/YiIiI0efJkjRkzRpWVlYqLi1NcXJySkpI0YMAAnXfeeUpJSVFUVJR+//vfS6pZV2rp0qW1pvoB\nAACca058+Isk18NfYmJiJP36w1+cTqfKy8td/23atKl3bgIAADRKpi9ISVJ8fLzi4+NrvTdjxgzX\nz9u3b/d0SAAAAF73Wx7+MmDAAEnS8OHDtXTpUvXr10/FxcV69tlnPRc4AABo9BpEQQoAAAAnO5uH\nv8ydO1eXXHKJlixZoj179mjs2LG68MIL1bp16zq1zUB08zmeE3JjPuTGvMiNeZEb86qvnFCQAgAA\naKAiIyOVkZHh2v6lh79MnDhR5eXlev31113rba5du1bPPfecJKlTp0666KKLlJmZWeeCVGhoUD3d\nBeobuTEvcmNe5Ma8yM25i4IUAABAAxUTE6O5c+fKbrcrODhYKSkpGj16dK1jjj/85fnnn681eio6\nOlorV67U/fffL7vdrq1bt+rBBx+sc9uFhcUyjHq7FdQDi6Xmixu5MR9yY17kxrzIjXkdz83ZoiAF\nAADQQJ3Nw1+mTp2qRx99VIMHD5avr68mTpyojh071rltwxBfEEyK3JgXuTEvcmNe5ObcZTGMxpva\n/Pxib4cAAAC8KDycaQC/VUEBv7E2G4tFCgsLIjcmRG7Mi9yYF7kxr+O5OVuMkAIAAMAZ+fzrHB0u\nLvN2GDiF4KDD5MakyI15kRvzIjfmNfjqsy9I+dRDHAAAAAAAAECdMUIKAAAAZ6TfJW2ZQmFCTG8x\nL3JjXuTGvMiNeVks9XMdRkgBAAAAAADAoyhIAQAAAAAAwKMoSAEAAAAAAMCjKEgBAAAAAADAoyhI\nAQAAAAAAwKMoSAEAAAAAAMCjKEgBAAAAAADAoyhIAQAAAAAAwKMoSAEAAAAAAMCjKEgBAAAAAADA\noyhIAQAAAAAAwKMoSAEAAAAAAMCjKEgBAAAAAADAoxpEQWrFihUaMmSI4uPjNW/evJP25+Xl6fbb\nb9fgwYM1duxY2e12L0QJAADgHafrK23btk2jRo1SYmKiRo0apezsbElSZWWlZsyYoeHDh2vo0KFK\nTU31dOgAAKCRMn1BqqCgQMnJyXrzzTe1fPlybdq0SWlpabWOmTZtmn7/+99r2bJlGjp0qB5//HEv\nRQsAAOBZdekrTZkyRQ8//LDef/99PfDAA5oyZYok6eWXX1ZRUZHee+89zZ49W1OnTvXGLQAAgEbI\n9AWp1NRU9e3bVyEhIbJarUpISNCyZctc+6uqqrRx40YNGTJEkpSYmKh169apurraWyEDAAB4zOn6\nSoZhaNy4cbrsssskSdHR0crNzZVUM7LqrrvukiSdf/75WrhwoQzD8PxNAACARsf0Bam8vDzZbDbX\nts1mc3WiJKmoqEiBgYGyWq2SJKvVqqCgIKbtAQCARuF0fSWLxaIRI0a4tp977jnFxcVJkn744Qdl\nZGToxhtv1KhRo1RQUCCLxeK54AEAQKPl6+0ATsfpdNbqGBmG4So+SVJ1dfVJHSen01nrGAAAgHPV\n6fpKJx73+OOPKysrS6+99pqkmn5UTk6O3nnnHe3YsUN//OMftXLlSgUGBp62XepW5nM8J+TGfMiN\neZEb8yI35lVfOTF9QSoyMlIZGRmu7fz8/Fq/BQwNDVVxcbGcTqd8fHxUXV2tsrIytWjR4rTXDg8P\nckvMAAAAnnK6vpIkVVRUaOLEiSovL9frr7+u5s2bS5LCw8M1aNAgSVLXrl3VunVrff/99+rZs+dp\n2w0NpR9lVuTGvMiNeZEb8yI35y7TT9mLiYlRenq67Ha7qqqqlJKSomuuuca139fXV3369FFKSook\nKSUlRZdffjkjpAAAQKNwur6SJD366KPy9/fX/PnzXcUoSYqNjdXy5cslSfv27dOBAwcUFRXl0fgB\nAEDjZDEawMqVq1at0gsvvKDKykrFxcVp0qRJSkpK0oABAxQbG6vc3FxNnTpV+fn5CgkJ0TPPPKPI\nyEhvhw0AAOARv9ZXOu+883T99dcrKipK/v7+kmrWlVq6dKmOHDmi6dOna9u2bbJYLHrooYfUv39/\n794MAABoFBpEQQoAAAAAAADnDtNP2QMAAAAAAMC5hYIUAAAAAAAAPIqCFAAAAAAAADyKghQAAAAA\nAAA86pwvSK1YsUJDhgxRfHy85s2bd9L+vLw83X777Ro8eLDGjh0ru93uhSgbp9PlZtu2bRo1apQS\nExM1atQoZWdneyHKxul0uTkuKytLPXv29GBkkE6fn/z8fN19991KTEzULbfcopycHC9E2TidLjc5\nOTm69dZblZiYqNtuu00HDhzwQpSNU0lJiYYOHar9+/eftG/Xrl26+eabNWjQIE2YMEHl5eVeiNB8\n6EOZF30o86IPZV70n8yL/pO5ubUPZZzD8vPzjdjYWMPhcBhVVVXG2LFjjdTU1FrH3Hvvvcb7779v\nGIZhvPPOO8aDDz7ojVAbnbrkZvDgwcamTZsMwzCM1NRUY9iwYd4ItdGpS24MwzDKysqM0aNHG9HR\n0V6IsvGqS37Gjh1rvP3224ZhGMaSJUuMCRMmeCPURqcuuXn44YeNf//734ZhGMYbb7xhTJo0yRuh\nNjpff/21MWTIEKNHjx5GTk7OSfsTEhKMjIwMwzAMY86cOcazzz7r6RBNhz6UedGHMi/6UOZF/8m8\n6D+Zm7v7UOf0CKnU1FT17dtXISEhslqtSkhI0LJly1z7q6qqtHHjRg0ZMkSSlJiYqHXr1qm6utpb\nITcap8uNYRgaN26cLrvsMklSt27dlJub661wG5XT5ea4p556SmPHjvV8gI3c6fLjcDi0Y8cOjRw5\nUpI0fPhwPfjgg94Kt1Gpy98dp9OpI0eOSJLKy8vVrFkzb4Ta6PznP//RY489poiIiJP25ebmqqSk\nRL1795Yk3XTTTaf8N6+xoQ9lXvShzIs+lHnRfzIv+k/m5u4+lG+9RGlSeXl5stlsrm2bzVbrf8hF\nRUUKDAyU1WqVJFmtVgUFBclutys8PNzj8TYmp8uNxWLRiBEjXNuzZ89WXFycR2NsrE6XG0lau3at\njh49qoEDB8owjP9n787joyzv/f+/Zk0yk8lCEpKwCoiyKG4gIa1ABBeUTdRTlONCxa1S2/Mr0sWo\nVJcNBMwAACAASURBVKqUA9QDhdpSqh7FgooIVMzX5QBqWBRcQGXfl5CQPZPJMuvvjwkjqSgJkMwk\neT8fjzzMzL3kGj4mc93vua7rbu4mtmlnqs+RI0dIT0/nj3/8Ixs3biQ9PZ2nnnoqHE1tcxryu/OL\nX/yC8ePH8/LLL+Pz+Vi6dGlzN7NNevbZZwFO+/fq3+vWvn17CgoKmq1tkUp9qMilPlTkUh8qcqn/\nFLnUf4psTd2HatUjpPx+PwaDIfQ4EAiEOk4APp+v3vaTx5y6jzSNM9Xm1P2mT5/O9u3b+e1vf9uc\nTWyzzlSboqIinn/+ebKzswG+8zskTetM9fF6vXzzzTcMHDiQlStXMmzYMKZOnRqOprY5Dfm79utf\n/5o//OEPfPTRRzz11FP87Gc/a+5myr85XV9A/QD1oSKZ+lCRS32oyKX+U+RS/6nlOh99qFYdSKWl\npdVL6AoLC+sleElJSTidTvx+PxD8B62uriY+Pr7Z29rWnKk2AG63m5///OccPHiQl19+mdjY2OZu\nZpt0ptqsXbuW8vLy0MKCgUCAW265hcrKynA0t805U31SUlKw2WxkZWUBMGrUKL7++utmb2dbdKba\nlJSUsH///lBtrr/+eoqKiigtLW32tsq30tPTz/h+1BapDxW51IeKXOpDRS71nyKX+k8t1/noQ7Xq\nQCozM5NNmzZRUlKC1+tl1apVDBkyJLTdbDYzYMAAVq1aBcCqVau4+uqr9eleMzhTbQCeeOIJrFYr\nCxcuxGazhamlbc+ZanP77bfz3nvv8dZbb7FixQoA3nrrLXV2m8mZ6tO5c2c6duzIunXrAFi3bh19\n+vQJU2vbljPVpl27dkRHR7N582YAPvvsM+x2O4mJieFqshDsTNlsNrZs2QLAsmXLvvN+1BapDxW5\n1IeKXOpDRS71nyKX+k8t1/noQxkCrXzy8rvvvsv8+fPxeDwMHz6cKVOmkJ2dzbBhw8jKyiI/P5/f\n/va3FBYWkpCQwOzZs0lLSwt3s9uEH6pN9+7dufHGG+nWrRtWqxUIDmtevny5hjc3gzP93pyqd+/e\n7NixI0wtbZvOVJ8DBw7w5JNPUlZWht1uZ+bMmXTt2jXczW4TzlSbr776iunTp1NTU4PdbufJJ5+k\nd+/e4W52mzFs2DBeeeUVOnTowAMPPMAvfvEL+vbty549e3jiiSeorKykU6dOzJ49WxeIqA8VydSH\nilzqQ0Uu9Z8il/pPka+p+lCtPpASEREREREREZHI0qqn7ImIiIiIiIiISORRICUiIiIiIiIiIs1K\ngZSIiIiIiIiIiDQrBVIiIiIiIiIiItKsFEiJiIiIiIiIiEizUiAlIiIiIiIiIiLNSoGUiIiIiIiI\niIg0KwVSIiIiIiIiIiLSrBRIiYiIiIiIiIhIs1IgJSIiIiIiIiIizUqBlIiIiIiIiIiINCsFUiIi\nIiIiIiIi0qwUSImIiIiIiIiISLNSICUiIiIiIiIiIs1KgZSIyCmuuOIKNm/eHO5miIiIiLQY6j+J\nyNlQICUiIiIiIiIiIs1KgZSItAnPPfcc11xzDYMGDeI///M/2bZtGwCvvPIKQ4YMYeDAgcybNw+D\nwRDmloqIiIhEBvWfRKQpKZASkVZv48aNLF++nJUrV7Jx40YGDhzIH/7wB3Jzc5k7dy4LFiwgNzeX\niooKqqurw91cERERkbBT/0lEmpoCKRFp9axWKxUVFbz22mvs3r2byZMn8/rrr/P2228zatQoLrnk\nEiwWC1OmTMFkMoW7uSIiIiJhp/6TiDQ1BVIi0updddVVzJkzh08++YTbb7+da6+9ljfeeIPCwkLS\n0tJC+0VHR5OcnBzGloqIiIhEBvWfRKSpmcPdABGRppafn0+HDh146aWXcLvd5OTk8Otf/5qBAwdy\n7Nix0H5ut5vS0tIwtlREREQkMqj/JCJNTSOkRKTV27ZtGw888AD79+/HarWSkJCA1WplwoQJvP32\n23z22Wd4PB7+53/+B7fbHe7mioiIiISd+k8i0tQ0QkpEWr3rr7+evXv3MnHiRCoqKujUqRPz5s1j\n6NChVFVV8dhjj1FRUcGYMWNIT08Pd3NFREREwk79JxFpaoZAIBAIdyNERERERERERKTt0JQ9ERER\nERERERFpVmEJpHJychg5ciQ33HADCxYs+N795s6dy/z580OPd+7cyfjx4xkzZgz33HMPx48fr7d/\nZWUl1113HZs3b26ytouIiIi0FCtXrmTkyJGMGjWK//7v//7O9oKCAu6++25uvvlm7r33XkpKSsLQ\nShEREWmLmj2QKioqYtasWSxevJh33nmHLVu2sGHDhnr7OJ1Ofve73/HSSy/Vez47O5tf/vKXrFy5\nkhEjRjB79ux626dPn05FRUVTvwQRERGRiFdTU8Ozzz7LK6+8wsqVK9myZQsbN26st8/TTz/Nrbfe\nyurVqxk1ahTPPPNMmForIiIibU2zB1Lr168nIyODhIQETCYTY8aMYfXq1fX2ef/99+nevTsTJ06s\n9/zrr79ORkYGfr+fvLw8EhISQtveeecdHA4HF198cbO8DhEREZFI5vP5CAQC1NTU4PF48Hq9REdH\nh7Z7vV4++eQTRo4cCcDYsWNZt24dPp8vXE0WERGRNqTZA6mCggJSU1NDj1NTU8nPz6+3z7hx45g0\naRJGY/3mGY1GSktLGTx4MEuXLuX2228HIC8vj5dffpmpU6eiNdpFREREwG638+ijj3LjjTcyZMgQ\nOnXqxBVXXBHaXlZWRmxsLCaTCQCTyYTD4dC0PREREWkWzR5I+f1+DAZD6HEgEAh1hBoiMTGR3Nxc\nZs2axcMPP4zf7yc7O5snn3wSq9XaFE0WERERaXF27drF8uXLWbduHR9//DEGg4EXXnghtN3n89Xr\nk0Gwn9aYfpmIiIjI2TI39w9MS0urt+h4YWFhvRFTPyQnJ4cRI0YAMGTIEGpqavj88885cOAAjz/+\nOIFAgEOHDpGdnc20adMYNGjQD56vsNB59i9EREREWryUFEe4m9BkcnNzycjIIDExEQiOQF+yZAk/\n/elPAUhKSsLpdOL3+zEajfh8Pqqrq4mPjz/juQOBwHfCLBEREZHGaPZAKjMzkz//+c+UlJQQFxfH\nqlWruOOOOxp07F/+8hfsdjuDBw9mw4YNJCUl0b9/f9auXRva56677uLRRx9lwIABTfUSRERERCJe\nr169mDlzJpMnTyYmJoY1a9bQt2/f0Haz2cyAAQNYtWoVY8eOZdWqVVx99dUNGiFlMBgoLnailRIi\ni8EASUkO1SYCqTaRS7WJXKpN5DpZm3PV7IFU+/btmTp1Kvfccw8ej4fhw4czfPhwsrOzGTZsGFlZ\nWd977Jw5c3jyySd57rnniIuLY968ed/ZR5/WiYiIiMCPfvQjRo8ezbhx47BarVx66aU88MAD9fpc\nTz31FL/97W9ZtGgRCQkJ37mD8Q8JBNAFQoRSbSKXahO5VJvIpdq0XoZAG14FXFP2RERE2rbWPGWv\nqRUV6RPrSGMwQHKyQ7WJQKpN5FJtIpdqE7lO1uZcNfui5iIiIiIiIiIi0rYpkBIRERERERERkWal\nQEpERERERERERJqVAikREREREREREWlWCqRERERERERERKRZKZASEREREREREZFmpUBKRERERERE\nRESalTncDRCRlsXvD1BZ7aHC5aaiKvjlqvbiqvFQVeMNftV6qXV7qfX4qXH7cHt8eHx+vD4/Pl8A\nrz/4339nMIDJaMRsMmAyGjCZjFjNRqIsJqKsJqIsJqKtJmzRZmxRFmzRZuzRZmJtVuJsFuLsVhw2\nK/ZoMwaDIQz/OiIiIiIiItIQYQmkcnJyWLBgAR6Ph9GjR/PII4+cdr+5c+diMpmYPHkyADt37mTa\ntGlUV1eTkJDAH//4R9LT0ykrK+Pxxx/n6NGjBAIBHnroIW666abmfEkirUZVjYfCshoKy6opLK+m\npKKWMmctJc5aSp01lLvcBL6bJTWKATCZDHXffSsQCFDr8VHrObfzm4wGEmKjSIyLop0jikRHFO0c\n0aQkxJCSEE1yQgxRFtO5/RARERERERE5a80eSBUVFTFr1iyWL1+Ow+Fg0qRJbNiwgczMzNA+TqeT\nGTNmkJOTw3333Rd6Pjs7mylTppCRkcHSpUuZM2cOs2fPZt68efTt25cFCxZQVFTELbfcQkZGBu3a\ntWvulyfSInh9fvJLqsgvruJ4SRX5xS7yS6o4UVqNq8b7g8daLUbi7VbibMHRSHF2C7ExwVFJMdFm\n7NEWbFHm0IimKIuRKKsZiyk48slsMmI0fv/opUAggD8QwOsL4PP5cXv91Lp9dUGVjxq3r24kloeq\nWi+uGi/OKjfOqlNGbbncFFfUUFxR870/J95uJTUxhrQkG2nt7KS1s5GebCMlPuYH2yciIiIiIiLn\nrtkDqfXr15ORkUFCQgIAY8aMYfXq1fUCqffff5/u3bszceLEese+/vrrGI1G/H4/eXl5xMfHAzBk\nyBAuueQSAJKTk0lISKCwsFCBlAhQXlnLoQInR05UcrTQxdHCSvKLq/D5Tz/MKd5uJSUhhuSEaJLj\nY0iOj64bYRRFoiOamChTk06HMxgMmAwGTEbAYsJ2FucIBAI4qz2UVtRS6qylxBkMp06O/Coqq6bc\n5abc5Wb30fJ6x1rNRjok2+mUEkunFDtdUh10SXVgi9YMZxFpWZYuXcrSpUsxGAwEAgHy8vLIyspi\n5syZoX1yc3OZMmUK6enpAPTu3Ztnn302XE0WERGRNqTZr7AKCgpITU0NPU5NTSU/P7/ePuPGjQNg\n/vz59Z43Go2UlpYyatQo3G43L7/8MhAMpE5avXo1brebnj17NtVLEIlYldUe9udVsD+vnEP5Tg4V\nOCmrdH9nP4vZSKeUWNKTbaS1+/YrtZ2tVUxlMxgMxNmCo7i6pjlOu09VjYf8kmryS1yh0WJ5xcH/\nHsx3cjDfWW//9okxdE11cEGag+4d4rggLY4oa8v/txKR1mv8+PGMHz8egIMHDzJp0iSmTJlSb59t\n27bx8MMPc88994SjiSIiItKGNXsg5ff7642uCAQCmEwNv6hLTEwkNzeXDz/8kIcffpg1a9aEzrdy\n5UrmzJnDP/7xD4xG3UBQWrdAIMDx4ip2Hylj77Fy9uVVUFBS9Z39Eh1RdE110CU1lk4psXRMsZOa\naGvz09Js0Ra6d7DQvUNcvec9Xj/Hi10cK3RxpLCSwwVODuU7OVFazYnSajbvPAGA0WCgU3s7PTrE\nc2HHeC7qnEBSfHQ4XoqIyBk9/fTTPProo6SkpNR7/quvvqK2tpYVK1bQoUMHnnzyyXofHH4ft8fX\nVE0VERGRNqLZA6m0tDQ2b94celxYWNigjg8EF0MfMWIEEBwVVVNTQ3l5OQkJCSxcuJDXXnuN//3f\n/6Vbt25N0naRcPIHAhwrdLHzUCm7j5Sx60gZldX1V/+2R5vp0TE+NIKna5qDeLs1TC1umSxmY2ia\n3qC65wKBAMXlNRzMd3Igv4IDeRXsP17B4YJKDhdUsvaLYwAkx0dzUecELuqcQO+uiaQkxITvhYiI\n1NmyZQvFxcWMHj36O9sSEhIYOXIkP/rRj1iyZAm/+tWvWLx48RnPufGr43jdHhw2K/F1dzi1mPVh\noIiIiDRcswdSmZmZ/PnPf6akpIS4uDhWrVrFHXfc0aBj//KXv2C32xk8eDAbNmwgKSmJhIQEli9f\nzooVK3j99ddJSkpq4lcg0nyKyqvZfrCU7QdL2HmolIqq+gFUepKNizoncGHH4Cid9okxTbq+U1tl\nMBhIToghOSGG/r3aA+Dz+zlW6GLfsXL2HC1n15EyisprKCrPZ8PXwWnIKQnR9O7ajj4XJNK7ayIO\nm8JBEWl+S5Ys+c66nCfNmDEj9P0dd9zBn/70JyorK4mNjf3Bc1rMRiorvVTXejlRGhydGxNlDoZT\ndTe+UEDV/E52AdQViDyqTeRSbSKXahO5zldNDIHAud7AvfHeffdd5s+fj8fjYfjw4UyZMoXs7GyG\nDRtGVlZWaL+Ta0hNnjwZgN27d/Pkk09SW1tLXFwc06ZNo1u3bgwePBij0UhiYiKBQACDwcDvf/97\n+vXr94PtKCx0/uB2kebm9fnZfaSMr/YXs21fMceL60/B65Bsp3eXRC7ukkDPzgka/RRBAoEAReU1\n7D5Sxs5DpWw/VEqpsza03QB06xBHv+5JXNojia5pDox6dxUJu5SU068z11p4vV4GDx7MBx98gM1W\n/zYRbrebl156iQceeCD03IABA/j444+Jjv7hKciBQABXjZfyylrKnLWUVdbi9frr7WOPsZDgiCIh\nNor42CgFVCIiIlJPWAKpSKFASiJBZbWHrXuL+HJPEV8fLKHW/e26HPF2K327nRxh045ER1QYWyqN\nEQgEKCitZvvBErYfLGXHoRKqa7+tbZzNQr8eyVzRM5k+3dq1isXkRVqi1h5Ibd++nenTp7NkyZLT\nbr/xxhv5zW9+w9ChQ3nzzTfJyclh0aJFDTp3cbGTk73IQCBAVY2Xiio3FS43FVUefL5/C6iiLcTZ\nrcTZrThsFswmBVTnm8EASUmOerWRyKDaRC7VJnKpNpHrZG3Ole5jLhIGxeU1fLa7kC92F7LnaDn+\nur+wBgNc2Ck+OIqmexJdUmM1Ba+FMhgMobsXXntlJ7w+P/uOlbNtfzFf7SvmaKGL3K+Ok/vVcaxm\nI30uaMcVFyVzRc8UYmMs4W6+iLQShw8fpkOHDvWeO3VU+nPPPcdTTz3FnDlzSEpKYubMmQ0+dyDA\nKRcIBmzRFmzRFtLa2YMBVa03GE653DirPFTWBL/yil0YMGCPNuOwKaBqCvVrI5FEtYlcqk3kUm1a\nL42QEmkmReXVbNlZyJZdJ9ifVxF6Pspi4pLu7biyZwqX9khSGNFGlFTU8MWeIr7YU8iuw2X4/ME/\nxSajgd5dE+nfqz1XXqRwSqSptfYRUk2pqKjhn1ifnOIXCqiqPfj8346gMmDAHmMm7pSAyqQ7Jjea\nwQDJyY5G1Uaah2oTuVSbyKXaRK6TtTnn8yiQEmk6FS43n+4o4JPtBew7JYSyR5u58qIUrro4hd5d\nE7GYNV2rLauq8bBtfzGf7Srkq33FuOvWYTEZDfS+IJFBfdO4omcy0VYNahU53xRInb1zuUDw103x\nKw+NoHKHRgtDMKCKjamb4mez4LBZMRo1YvhMdPEWuVSbyKXaRC7VJnKdr0BKVzci51mt28fnewrZ\n+E0+2w+UhjrYsTEWrrwomf692tOrS6KmJkiILdpCRp80MvqkUeP2sm1fMVt2nmDbvmK+3l/C1/tL\nsFqMXNkzhYy+qfTt1k4jB0SkRTMagoFTbIyFjsl2/IEArmpPaP0pZ5UbZ3Xw61jd/vYYy7cjqGIs\nCqhERERaOI2QEjkPAoEAe46Ws/6r42zeeYKauoXJrRYjV16UQkafNPpcoBBKGqfG7eWLPUVs+qaA\nbw6UhMLNeLuVQZek8eNL0+mQbA9zK0VaNo2QOntN+Ym1PxCgsi6gctZN8Tt1BNXJQOtkQBWrgArQ\naIJIptpELtUmcqk2kUtT9s4DBVJyrsoqa1n/1XFytx2noLQaCP5y9u3Wjsy+aVzRM4Uoq6bjybmr\ncLnZvPMEG77O58Dxb6d/dkuP45rL0hnYO5WYKA16FWksBVJnrzkvEPz+bwOqiio3lacJqBwxFhz2\nUwKqNnhTEF28RS7VJnKpNpFLtYlcCqTOAwVScjb8gQDbD5bw4Rd5fLm3KLQYdWo7Gz++NI3MS9JJ\ndESFuZXSmh0rrGT9V/ls+CafCpcbgCiriYw+qQy9vCNd03SBLdJQCqTOXjgvEPz+AM5qD06Xm/Iq\nN67vCaji6gIqexsJqHTxFrlUm8il2kQu1SZytehAKicnhwULFuDxeBg9ejSPPPLIafebO3cuJpOJ\nyZMnA7Bz506mTZtGdXU1CQkJ/PGPfyQ9PR2v18tTTz3Fl19+idFo5JlnnqFfv35nbIcCKWmMymoP\nH2/NY92XxygsqwHAajYyoHd7hlzWkR4d4zC0gc6uRA6f389X+0r4aGseW/cVhd6oL0hzkHVlRwb2\nTsVq0Qg9kR+iQOrsRdIFgs/vp7LKQ0VVcBRVZbWHAP8WUNVN74uzBdeuao3v2bp4i1yqTeRSbSKX\nahO5Wuyi5kVFRcyaNYvly5fjcDiYNGkSGzZsIDMzM7SP0+lkxowZ5OTkcN9994Wez87OZsqUKWRk\nZLB06VLmzJnD7NmzWbx4MQCrV69m3759/OxnPyMnJwejFv2V8+BwgZMPPjvKJ9sL8NTd/axjip2h\nl3dkUN9UbNGWMLdQ2iqT0cjlPZO5vGcyJRU1fLQ1j4+3HedgvpMX39nJG2v3MfiyDmRd0ZGk+Ohw\nN1dEpMmYjEbiY6OIjw2OUPb5/Tirvp3i56r2Uu6qpdxVG9q/3giqaHOrDKhEREQiWbMHUuvXrycj\nI4OEhAQAxowZw+rVq+sFUu+//z7du3dn4sSJ9Y59/fXXMRqN+P1+8vLyQudYt25daBRVjx49SE9P\n5/PPP6d///7N9KqktfH7A3yxp5D3Nh9hz9FyAExGA1f3bs+1V3aiZ6d4dVwlorSLi2bsNd0Z9aML\n2Lq3mP/77Cg7DpXyzqZD5HxyiCt7pnD91Z25sKP+3xWR1s9kNJIQG0VCXUDl9QUDKmeVmwqXG1eN\nlzJXLWV1AZXZaMRhCwZUDpsCKhERkebQ7IFUQUEBqampocepqank5+fX22fcuHEAzJ8/v97zRqOR\n0tJSRo0ahdvt5uWXXz7tOVNSUigoKGiqlyCtWI3bS+6247y/5UhoWl6c3crQyzsw5PKOWhtKIp7J\nGLyz45UXpXCsyMWaz46y4et8PttdyGe7C+mWHscNV3fmqotTMGkUqYi0EWaTkURHVOh9/GRAFRpB\nVeOhtLKW0srvBlRxdiu2KAVUIiIi51uzB1J+v7/eG3ogEMBkavgaJ4mJieTm5vLhhx/y8MMP83//\n93/4/f56+wQCAU3Xk0apcLl5f8sR1n5+jKpaLwCd28dyw9Wdubp3KmaT/n+Slqdjsp27briYW4d0\n56OtwaD1wPEK/rryG5Liorl+QGcGX9ZBd4IUaaWWLl3K0qVLMRgMBAIB8vLyyMrKYubMmaF9CgoK\neOyxxyguLiYlJYU//elPtGvXLoytbh6nC6gqXG6cVR7KXW6qar8bUJ0Mp+JsFmIUUImIiJyzZg+k\n0tLS2Lx5c+hxYWFhvdFNPyQnJ4cRI0YAMGTIEGpra6moqCAtLY0TJ07QuXNnILhOVUPPKW1bUVk1\n/+/Tw3y87Xhofah+PZK4YUBnenVNVGdTWgVbtIUbB3ZheP9ObNl1gnc/PcKhfCdL/m8P/9pwkOH9\nO3HtlZ2IjdF6aCKtyfjx4xk/fjwABw8eZNKkSUyZMqXePk8//TS33norY8aM4c033+SZZ55hzpw5\n4WhuWJlNRtrFRdMuLrjensfrD07vq5viV1XrpcRZQ4kzOHraYjLisFmJr5viZ4tu9i61iIhIi9fs\n756ZmZn8+c9/pqSkhLi4OFatWsUdd9zRoGP/8pe/YLfbGTx4MBs2bKBdu3YkJCQwdOhQli9fzlVX\nXcW+ffs4fPgwl156aRO/EmnJ8opcrN54kE+2n8AfCGAyGsi8JI0RA7vQMSU23M0TaRJmk5GMPmkM\n7J3KrsNlvLPpEF8fKGHFxwfI+eQwQy/vwI1XdwktCiwircfTTz/No48+SkpKSug5r9fLJ598wrx5\n8wAYO3Yszz77LD6fr1Gj11sji/n0AVW5y42z6nQBlYk4u4W4ujv5xUQpoBIRETmTZn+3bN++PVOn\nTuWee+7B4/EwfPhwhg8fTnZ2NsOGDSMrK+t7j50zZw5PPvkkzz33HHFxcaEO1IQJE3j66acZOXIk\nBoOBZ599FotFn/TLdx0rrORfGw6yeccJAoDVbOSayzpyw9WdSY6PCXfzRJqFwWCgV9dEenVN5FC+\nk9WbDvHZzuDIqTWfH2PI5R0YMbCr1kwTaSW2bNlCcXExo0ePrvd8WVkZsbGxofDJZDLhcDgoKSmp\nF1zJ6QIqHxUuT2gEVbXbS3GFj+KKbwOqeLsVR11IpYBKRETkuwyBQCAQ7kaES2GhM9xNkGZy9EQl\nq9YfYMuuQgCirCaGXdmJ66/uTJzNGubWiYRffkkVqzceZOPXBfgDAcwmI0Mu68BNgxRMSeuWkuII\ndxOa3K9+9SuuueYaxo4dW+/5goICxo8fz9q1a0PPDR48mBUrVjRoHaniYidttxdZn9vjqwunggul\n17i99bZbLaa60VPBhdKjrU0TUBkMkJTkUG0ikGoTuVSbyKXaRK6TtTnn8yiQktbseLGLlbkHQiOi\noq0mhvfvxPUDumi9HJHTOFFaxeqNh9jwdT4+fzCYuvbKjtyU0ZU4u8JbaX1aeyDl9XoZPHgwH3zw\nATab7TvbMjIy+PTTTzEajfh8PjIyMti0aVObn7J3rmrcXsor3ZQ5ayivdFNdWz+girKaSIiNIsER\nRUJsFNEaQSUiIm2Q3v2kVSoqq2bV+oOs//o4gUCw43d9/85cN6CzgiiRH9A+0cbEm3ozMvMCVm88\nSO62fN7bfIQPv8zjugGduOHqLtij9Tsk0tT8fj8vvfQSu3bt4oknnmDJkiXcd999jb6L8O7du+na\ntet3wigAs9nMgAEDWLVqFWPHjmXVqlVcffXVDQ6j9In1DzMBSXYLSXYLtR4fFa7g9L6KKjdOp4+i\n4srQvlFWU2j9qTi7lSjL2QWCGk0QuVSbyKXaRC7VJnKdrxFSCqSkVamocvP2+oOs/eIYPn8Aq9nI\ntVd1YsTALjg0NU+kwVISYrh3RG9GZHRlZe4BPvmmgLc3HGLNZ8e4aVBXhl/VCetZXjCJyJnNmTOH\no0ePsnv3bvx+Px988AHFxcX85je/adR5Dh8+TIcOHeo9d+q6nU899RS//e1vWbRoEQkJCcye2MSz\nswAAIABJREFUPbvB5w4E0AVCA1nNJpLjY0LrVda6fZTXrT/ldLmpcfuocVdzoqwagGiLORhO2YJT\n/Br791a1iVyqTeRSbSKXatN6acqetAq1bh/vbT5MzieHqXH7MBkNDLm8AyMzLyBBdwwTOWfHCitZ\n8fEBPtsdXIct0RHF2Gu68aNL0jEaDWFuncjZi9Qpe2PGjOHNN9/ktttuY8WKFdTU1HDLLbeQk5MT\n7qaFFBXpE+vzpcbtrRs9FVyDyu311dsebTV/uwaV7fsDKoMBkpMdqk0EUm0il2oTuVSbyHWyNudK\nI6SkRfP5/Xy87Tgrcw9QXukGYGCfVG4Z3J32Cbprnsj50jEllkfGXcq+vHLeWLuP3UfKePGdnbz3\n6RFuG9qDfj2SMBgUTImcL2azGbP5225adHR0vcfSukRbzURbzbRPDD6urvUGp/a5PJTXLZJe4/Zy\noiy4PcZ6cgRVMKSymDViVUREWh71bKTF+uZACUvX7OFYoQuA3l0TuT2rBxekxYW5ZSKtV48O8fz6\nzivYtq+YZev2cazIxdxl2+h7QSI/GdaTTimx4W6iSKvQsWNH3nvvPQwGA5WVlSxatIguXbqEu1nS\nTGKizMREmUk9NaCqW3+qwuWm2u2l2u2loLQKAFuUGYfNSnyslfiE764XJiIiEok0ZU9anOPFLl5b\ns5dt+4oB6Jhi5ydZF9K3WzuN0BBpRn5/gPVfHWf5R/spd7kxGGDIZR0Ye0133ZFPWoxInbJXWFjI\n1KlT2bRpEwBXXHEFc+bMIT09Pcwt+5amUIRPVY03FE45q9x4fH4ADIDDEYPX7QmNoHLYrFjMjVsM\nX84/TT2KXKpN5FJtItf5mrLX7IFUTk4OCxYswOPxMHr0aB555JHT7jd37lxMJhOTJ08G4OjRo2Rn\nZ1NaWorJZGLq1KlkZGQAMGPGDHJzczEajTz44IOMHDmyQW1RINWyVNV4WJF7gLWfBxcsd9gs3HJN\nd665LB1TI+86JCLnT43byzubDvPup4fxeP3ERJkYldmN4f07YTbpd1MiW6QGUidVV1fj9/ux2+3h\nbsp36AIhMgQCgbopfh6cVW4CJhOlpS5OLY0tykK83YqjbpF0/W1ufrqwjlyqTeRSbSJXi1xDqqio\niFmzZrF8+XIcDgeTJk1iw4YNZGZmhvZxOp3MmDGDnJwc7rvvvtDz06dPZ9y4cYwePZp9+/Zx9913\nk5uby6ZNm9i6dSurV6+muLiYESNGcN111xEVpYWsWwt/IMD6bcdZ9uE+nFUezCYDIwZ24eZBF2CL\n1qxTkXCLtpoZN7g7Qy7rwJsf7mPT9gJeX7uXj7flcefwi+jbrV24myjS4syfP/+0z5/8oE7kJIPB\ngC3agi3aQnqSjaSkWA4fLaXcdXIElYeq2uDX8ZLgMfZoS936U8GQSgGViIiEQ7Neza9fv56MjAwS\nEhKA4B1kVq9eXS+Qev/99+nevTsTJ06sd+yYMWMYNmwYAN26dcPj8eByufD7/bjdbtxuNzU1NVit\nmibSmuzPq+DV93dz4HgFAJf1SGL88J6kJmp9BJFIkxQfzQOj+5J1ZUdefW83h09UMue1L7nyohTG\nX3shybrRgEiD5efnh773eDxs3ryZQYMGhbFF0lIYDAbsMScDKjuBQABXjRdn1bcBlasm+HW8xIUB\nA/boukXS7VZiYxRQiYhI82h0ILV48WLGjh1LbGzjF64tKCggNTU19Dg1NbVehwtg3LhxwHc/Gbzp\npptC3y9atIjevXsTGxvLj370I1577TWuueYaampqmDJlikZHtQKV1R7e/HAfH32ZRwBonxjDncN7\n0q9HcribJiJn0LNTAk/eO4APt+ax/MN9fL67kK/3FzMy8wJuHNhFFzoiDfCHP/yh3uPS0lKmTJkS\nptZIS2YwGIiNsRAbUz+gqjg5gqraQ2VN8CuvuC6gijHXG0GlpRFERKQpNDqQ+vLLL5k/fz433HAD\nd955JxdffHGDj/X7/fUWnQ4EAphMjbtN7cKFC1m2bBmLFy8G4LXXXsNisbBx40ZKSkq4++67ueyy\ny+jXr1+jziuRIRAIsOHrfF5fuxdnlQerxciozAu4fkAXLcgp0oIYjQayrujIgF7teeuj/az74hjL\nP9rPxm/yuev6i+nVNTHcTRRpURITE8nLywt3M6QVODWg6pBsxx8I4Kr2UFHlCS2SXlntobL624Aq\nNsZSt0i6BYfNitGom8iIiMi5a3QgNXv2bEpKSli2bBmPPvooycnJTJgwgRtuuOGM4VJaWhqbN28O\nPS4sLKw3YupMpk2bxtatW1myZAlJSUkArFmzhjvvvBOj0UhycjJDhw5ly5YtCqRaoOPFLl55dxc7\nD5cBcPmFydx5XU+S4zXNR6Slio2xcNcNF/Pjfum8/P92cajAyX8v+YJBfdP4ybUX6m58It/jr3/9\na+j7QCDAjh07QkseiJxPRoMBR93d+DqeGlCdMoLKWe3GWe3mWN3+9hgL8TYrDrsVR4xFAZWIiJyV\nsxpy0q5dO+6++24efPBB8vPzmT17Ntdddx25ubk/eFxmZiabNm2ipKQEr9fLqlWrGDJkSIN+5rx5\n89i7dy+vvvpqKIwC6NWrF++++y4AVVVVbNq0ib59+57Ny5Iw8fr8rMo9wFMvfMrOw2UkxUXx83GX\n8uht/RRGibQS3dLjeOKe/tw5vCfRVhMbv8nn8b9vYv1Xx2nmm72KtAiHDh0KfR0+fJjOnTvzpz/9\nKdzNkjbgZEDVMSWW3he0o3+v9vS5oB2dUmKJtwU/RHBWuTlaVMmOQyVs2XWC7QdLOHqikgqXG7/+\npouISAMZAo28Eti1axdLly7lnXfeoX///kyYMIHMzEx27NjBww8/zLp1637w+HfffZf58+fj8XgY\nPnw4U6ZMITs7m2HDhpGVlRXa7+QaUpMnT6aqqoqMjAxSU1OJjY0lEAhgMBj461//SlxcHL///e/Z\nunUrZrOZW2+9lXvvvbdBr6Ww0NmYly5NYO+xcv43ZyfHilwYDQauH9CZMT/uRpS1cVM5RaTlKKus\n5Z8f7GHLzhMA9Lkgkbtv7EV7LXouYZCScu63LI5ka9asYcGCBdTU1JCZmcnjjz9eb/trr73G/Pnz\nSU4OrtE4ZMgQfvnLXzbo3LoNd+Rpjluk+/0BKk+OoKqb3ndqCGU0GHDEWHCcski60aARVLp9feRS\nbSKXahO5TtbmnM/T2EBq4MCB3H777dxxxx107Nix3rbHH3+cZ5555pwb1VwUSIVPda2X5R/uZ83n\nRwkAXVJjmTiiN13TWveFgYh868s9Rbzy3i5KnbVYzUbGXtOd6wd01tQPaVaRFkhNnDix3nqb/+6F\nF15o8LmOHDnChAkTWLZsGUlJSdxzzz3cf//99UanP/7442RlZTF8+PBGt1UXCJEnHBdvfn8A5ykB\nlet0AZUtuP5UnN2KvY0GVLqwjlyqTeRSbSJX2AKp2tpavv76a6666irKy8v54osvGDp06Dk3JBwU\nSIXH9oMlvPjOToorarCajYy5phvXD+isO7iItEHVtV7e/HAfaz8/RoDg1L6f3tybjsn2cDdN2ohI\nC6TeeuutH9x+yy23NPhcL774IidOnODXv/41EFy702q1Eh8fH9pn9OjRdOjQgePHj9OrVy+ys7Nx\nOBr2b6ILhMgTCRdvPr+fyioP5S43zqrg4ugBvm2MyWgMjaCKt1uxR5t/MIRtLSKhNnJ6qk3kUm0i\nV9gCqXnz5rF+/Xpee+018vLy+NnPfsbNN9/M/ffff86NaW4KpJpXda2XN9buZd2XwbsE9eqSwL0j\netE+0RbmlolIuO05WsYL7+ykoKQKs8nAmB9348aBXRRUS5OLtEDq+wQCAQ4ePEi3bt0afMy0adOw\nWq3s37+fwsJCsrKy6k3HCwQCPPzww/zyl7+kV69ezJkzhxMnTjBz5swGnV8XCJEnEi/efH4/zqpT\nR1B5TxtQxdVN8WutAVUk1kaCVJvIpdpErrAFUjfffDNvvvkm0dHRQHDE1G233ca//vWvc25Mc1Mg\n1Xy+OVDCizk7KKmoJcpi4vasHgy9omObHLItIqfn9vhYkXuAdz89TCAAF6Q5uO/m3nRMiQ1306QV\ni9RA6o033mDGjBlUV1eHnouLi+OTTz5p8DmeeOIJPvvsM1599VXsdjsPPfQQo0ePZuzYsafdv6Ki\nguuuu67BP6O4WBcIkcZggKQkR0TXxuurH1BV1Xjr3dzCZDKGpvfF2azYWklA1RJq01apNpFLtYlc\nJ2tzrsyNPcDn84XCKICoqKhW8SYhTaPW7eP1dXtZ+/kxIDgqauJNvUnR4sUi8m+sFhP/kXUhV12U\nwgvv7OBgvpPfv7SZcYN7aG0paXOef/55Fi5cyMKFC/n5z3/OBx98gMvlatQ5kpOTGTRoEImJiQAM\nHz6cbdu2hQKpkpIScnJymDBhAhDs45nNDe8ano+OqDSNSK9N2infe7x+Kly1lDlrKauspbLKgxco\ncXkpcXkxm43E260kOKJIcES3+BFUkV6btky1iVyqTevV6EDqoosu4plnnuEnP/kJBoOBN998k549\nezZF26SF23usnEVvb+dEaTVWi5GfZF3IEI2KEpEz6NExnmkTB/DWxwd495PDvL52L1/uLeK+mxVm\nS9sRHx9P//79+fjjj6msrOS//uu/GrV+FEBWVhZTp07F6XRis9nIzc3l2muvDW232WwsWLCAq666\nil69erF48eJGLW6uT6wjT0seTRAfbSI+2obX568bPRUcReV0eigt/TaMNZuModFTcXYLMVEtI6Bq\nybVp7VSbyKXaRK6wjZCaNm0av//97/nJT36C2Wzmxz/+MdnZ2efcEGk9vD4/K3MP8M6mQwQC0KNj\nHJNG9iFVa0WJSANZzMHRUpdfmMyit7ez+0gZT77wKXcM68k1/dJbxMWHyLkwm81UV1fTpUsXtm/f\nzqBBg6ipqWnUOfr168cDDzzAnXfeidfrJTMzk1tvvZUHHniAX/ziF/Tt25c5c+bwm9/8BrfbTffu\n3fnjH//Y4PMHAugCIUK15NqYjEYSHdEkOoIzMjxeP86q4PS+CpebqlovxRU1FFcEfx8sJiMOW3CB\ndEfdFL9I1pJr09qpNpFLtWm9Gr2GVGuiNaTOv+PFLhau2s6hAicmo4Gx13RjxMCummojImetutbL\na2v28tHW4A0RruiZzL0jeuGwWcPcMmkNInUNqX/84x+sW7eOOXPmcNttt3HxxRdTU1PDK6+8Eu6m\nhWiR2cjTFhYA9nh9VLg8oYCq2u2tt91iMhFn/3YNqpioyAio2kJtWirVJnKpNpErbIua5+fns3jx\nYkpKSuotQDhjxoxzbkxzUyB1/gQCAT7amseS/9uD2+OnY7Kd+0f1oUtqZHb0RaTl2bq3iBff2UFF\nlYf4WCuTRvah7wXtwt0saeEiNZACKCgoIDU1le3bt7N582ZGjRpFu3aR8/+8LhAiT1u8eDtTQGU1\nm4izWXHYLWENqNpibVoK1SZyqTaRK2yB1B133EFycjK9e/euN2Xi4YcfbvA5cnJyWLBgAR6Ph9Gj\nR/PII4+cdr+5c+diMpmYPHkyAEePHiU7O5vS0lJMJhNTp04lIyMDgAULFvDBBx9QU1PDQw89xJgx\nY87YDgVS50dltYeXcnby+e5CAIZf1YnbhvbAajGFuWUi0tpUuNy88M4Otu0rBuCGqzszbnAPLGZj\nmFsmLVWkBlK/+tWvGD9+PAMGDAh3U76XLhAijy7egndsDYZTwZCq5nQBld0aupNftLV5AirVJnKp\nNpFLtYlc5yuQavRf4PLycpYsWXLWP7CoqIhZs2axfPlyHA4HkyZNYsOGDWRmZob2cTqdzJgxg5yc\nHO67777Q89OnT2fcuHGMHj2affv2cffdd5Obm8uqVavYtGkTy5Yto7S0lLFjx3LttdficERmJ7M1\n2XmolIX/+oaySjdxNgs/vbkP/XokhbtZItJKxdmt/OK2fqz5/Bivr93Lu58eYcehUh4acwlp7bRO\nnbQel1xyCU8//TRer5f/+I//4JZbbiEhISHczRKJeFaLieT4GJLjgzfBqPX4cLrclFe5cbo81Hi8\nFJVXU1ReDUBUXUDlsFuJt1mJsuoDVRGR5tLoQKpTp05UVlYSGxt7Vj9w/fr1ZGRkhDpVY8aMYfXq\n1fUCqffff5/u3bszceLEeseOGTOGYcOGAdCtWzc8Hg8ul4ucnBx++tOfYjKZSE5O5p///CdRUVFn\n1T5pGL8/wKr1B/jXhoMEAtCvRxITb+pNvF1ruohI0zIYDAy7qhO9uiTwt1XbOVxQye9f2szd11/M\noEvSznwCkRZg4sSJTJw4kW3btrF8+XJGjRrFwIEDmT17dribJtKiRFlMRCXEkFx3l9Zaty80va/C\n5abW66OwvJrCkwGVxXTKXfysRGnEv4hIk2l0IBUfH8+oUaPo378/0dHRoeenT5/eoONProdwUmpq\nKvn5+fX2GTduHADz58+v9/xNN90U+n7RokX06dOH2NhYDh8+zL59+/jb3/6G2+3m/vvvp0uXLo19\nadJApc5aFq76hl1HyjAZDdyW1YPrB3TWXa9EpFl1TIkl++6reG3NXtZ+cYy/v72dHYdKmXDdRfqE\nW1qN5ORkUlJSiI2N5cSJE+FujkiLF2U1kWKNIaUuoKpxe6mo8lDhcuN0uan1+Cgsq6awLBhQRVvM\n9ab4aUkKEZHzp9GBVNeuXenatetZ/0C/318vuAgEAphMjfvDvnDhQpYtW8bixYsB8Pl87Nixg3/+\n85+cOHGCO+64g759+yqUagLb9hWz6O3tVFZ7SEmI5qExl9AtPS7czRKRNspqMXHXDRfTu2siL+bs\nJPer4+zLK+fhMZfQqf3ZjeQViQT/+te/ePPNN9m1axdjxozhL3/5C926dQt3s0RanWirmWirmfan\nBlSuU9ag8nipKfNyouzb/ePtVhw2C/F2KxazAioRkbPV6EBq8uTJ1NbWcvDgQXr27Inb7a43UupM\n0tLS2Lx5c+hxYWFhvRFTZzJt2jS2bt3KkiVLSEoKrlWUnJzM9ddfj9FoJC0tjcsuu4zt27crkDqP\n/P4AK3L38/aGQwBc3bs9d9/QC1t0ZNxKV0Tatv692tM1zcHfVn3D/rwK/vDyFu664WJ+dGl6uJsm\nclb++c9/Mn78eEaMGIHVqunwIs0lFFAlBh9X13qpqFt/qtwVXCS9xu2loDS4PcZqPmWKn0UBlYhI\nIzT6tkTbtm1j2LBhPPjggxQUFDB06FC2bdvW4OMzMzPZtGkTJSUleL1eVq1axZAhQxp07Lx589i7\ndy+vvvpqKIwCyMrKIicnBwguuv7VV1/Ru3fvxr0w+V7llbXMXvoFb284hNlk4K4bLubB0X0VRolI\nRElJiOE3E67k+gGdcXv9/GP1Dl58Zwdujy/cTRNptCVLljBmzBiFUSJhFhNlJjXRxoWd4rnq4hQu\n65FMt7Q4kuKisZiMVLu9FJRWsedYGZ/tLmTbviIOHK+gpKIGj9cf7uaLiES0RicKs2bNYuHChfzu\nd78jPT2dp59+munTp/PGG2806Pj27dszdepU7rnnHjweD8OHD2f48OFkZ2czbNgwsrKyTntcVVUV\nixYtIjU1lQkTJhAIBDAYDPz1r3/l3nvvZdasWdx88834/X4eeuihc5pWKN/adbiUv678hnKXm+T4\naH52yyVckKYpeiISmcwmI+OH9aRnp3heeGcHH287zsF8Jz8bewmpugufiIico5goczCkqntPqarx\nhhZJd1a5qar1UlUbDKkAbFEW4uzB6X3xCfZwNl1EJOIYAoFAoDEHjBs3juXLlzN27FhWrFgBBO9+\nt3LlyiZpYFMqLHSGuwkRKxAI8O6nR1i2bh/+QIDLL0zmvpG9sUdbwt00EZEGKSit4vm3vubwiUpi\nokxMurkPV1yUEu5mSYRJSXGEuwlNas2aNSxYsICamhoyMzN5/PHH623fs2cP2dnZOJ1OevbsycyZ\nMxu8FENRkZPG9SKlqRkMkJzsUG3CJBAIUF3rpdzlxlm3ULrXHxwlZQAcjhj8Hi+Oujv4OWwWzKZG\nT1iR80y/N5FLtYlcJ2tzrhr9F9BgMFBdXR1amDw/Px+/X8NRW5Mat5fnV37D62v3EiDA7Vk9+Pmt\nlyqMEpEWJTXRxu/uuorBl6VTXevjz8u/YvlH+/H71aORtuHIkSNMmzaN559/nlWrVrFjxw4+/PDD\nevs89thjPPbYY7zzzjv06NGD559/PkytFWn5DAYDtmgL6Ul2LuqcwFUXp3Bp9yS6pjpIdERhNhlx\n1Xg4XuJi15FStuw6wVf7izmU76TUWYvXp2sqEWlbGh1I3XXXXUycOJHCwkKeffZZbr/9du66666m\naJuEQX5JFX94+TO27DyBw2ZhyvgrGDGwa707I4qItBRWi4l7R/Tm3hG9MJsMvL3hIP/zxlYqqz3h\nbprIDyoqKuLBBx/khhtuoLi4mPvvv5/i4uJGneODDz7g5ptvpn379phMJp577jkuv/zy0Pb8/Hwq\nKyvp378/ALfffjurV68+r69DpC0zGAzY6wKqi7skktkvnUtOBlSxUZiN9QOqz3YV8vX+Yg4XOCmr\nVEAlIq1fo9eQGjt2LJ06dWLt2rX4/X5mzpxJZmZmU7RNmtmXe4r4+9vfUF3ro1t6HI/ccgnt4hp+\nB0URkUg1+LIOdG4fy4K3vuLrAyU8/dJmJo+7lC6prXu6lrRc06dPJzMzk+PHj+NwOOjatSvZ2dmN\nGsF06NAhrFYrkyZNorCwkKysLH75y1+GthcUFNS703H79u0pKCg4r69DRL5lMBiIjbGEQqpAIICr\nxkuFq24NqmoPlTXBr7xiFwYM2GPMxNmsxNutxNosmIya4icircdZ3Satf//+oU/TpOXzBwK8veEg\nKz4+AMCQyztw5/CLsJj1hicirUe39DievHcAf1v5DTsOlfLs4s/46U29ubp36pkPFmlmhw8fZu7c\nubz11ltYrVays7MZOXJko87h8/nIzc3l1VdfxW6389BDD7FixQrGjh0b2v7vI6BNpobfsl6DpyPP\nyZqoNpHndLUxGAw4bBYcNgsdU+z4AwFc1R4q6tafcla5cVV7cFV7OF7sCgVacXYrcTYLDpsVo1HF\nPlf6vYlcqk3kOl81aXQg1atXr9N2Xr7++uvz0yJpVjVuL/9YvYPPdhViMhr4z+svYsjlHcPdLBGR\nJhFns/L//eQy3li7j/c2H+GvK7/hyIlKbhncHaN6OxJB/r2vVVtb2+hzJCcnM2jQIBITEwEYPnw4\n27ZtCwVS6enp9UZEFRYW1hsxdSZJSRphGKlUm8jVmNr4/QGcVW7KKmspc9ZS4XLj9weoqPFRUePD\nWFqLw24hwRFNfKyVOHsUJgVUZ02/N5FLtWm9Gh1InboYptvt5v3339ei5i1UYVk1f35zG0cLXcTZ\nLDwy7lJ6dkoId7NERJqUyWhk/LCedEmN5aWcXazeeIijJyq5f1RfbNFnNXBY5LwbNGgQzzzzDNXV\n1XzwwQcsWbKk0UskZGVlMXXqVJxOJzabjdzcXK699trQ9vT0dGw2G1u2bKF///4sW7aMIUOGNPj8\nxcW661GkMRiCF26qTeQ5l9rYzQbsidGkJ0RRWeWhoio4xa+iykN5RRVHj5fX/YzgiKvgCKrgFD99\n2HJm+r2JXKpN5DpZm3M+TyBw7qW9/fbbeeONN865Mc2tsNAZ7iaEza7DpSx462sqqz10TXXw81sv\n1XpRItLm7M+rYP7ybZRVuklPsvHobf1ITbSFu1nSjFJSIvNTV4/Hw9///nfWrl2Lz+fjmmuu4ZFH\nHsFqtTbqPMuXL+fFF1/E6/WSmZlJdnY2Dz74IL/4xS/o27cve/bs4YknnqCyspJOnToxe/ZsYmNj\nG3Ru3YY78ugW6ZGrKWrj9weorPbUhVNuKqs9+E85udFgwFE3xc9htxIbo4DqdPR7E7lUm8h1sjbn\nfJ5zDaR2797NQw89xJo1axq0f05ODgsWLMDj8TB69GgeeeSR0+43d+5cTCYTkydPBuDo0aNkZ2dT\nWlqKyWRi6tSpZGRkhPb3+XxMmDCB8ePHh4ain0lbDaQ+2prHK+/uwucPMLBPKveO6EWUpeFrRoiI\ntCZllbUsWP4V+/IqsEebeeSWS+nVNTHczZJmEqmBVEugC4TIo4u3yNUctfH7AzhPDaiqPAT4t4DK\nFlx/Ks5uxa6ACtDvTSRTbSLX+QqkGj03oW/fvqF1DQKBAAaDgf/6r/9q0LFFRUXMmjWL5cuX43A4\nmDRpEhs2bKg3BN3pdDJjxgxycnK47777Qs9Pnz6dcePGMXr0aPbt28fdd99Nbm5uqC3z58/n4MGD\njX05bYrfH+D1tXt5b/MRAMYN7s7Ng7p+Z50KEZG2JCE2iql3XsFLOTvZ+E0Bc177krtuuJjBl3UI\nd9OkDZo4ceIPvi+/8MILzdgaEWlJjEYD8fbgHfkAfH4/lVUeyl1unFUeKqs9lLtqKXfVQmFwCrsj\nxoKj7hh7tFnXBSLSrBodSL333nuh7w0GA3FxcQ0e2r1+/XoyMjJISAiuUzRmzBhWr15dL5B6//33\n6d69OxMnTqx37JgxYxg2bBgA3bp1w+Px4HK5iI2N5fPPP2f37t1kZWU19uW0GdW1Xhau+oat+4qx\nmo1MGtmH/r3ah7tZIiIRwWI2MWlkH9KT7Cz/aD8v5ezkeLGL24deqDsYSbMaPXp0uJsgIq2EyWgk\nPjaK+NgoALw+f70pfq5qL2WuWspctRwBzEZj3V3/rMERVAqoRKSJNTqQysvLq/f42LFj9R4PGDDg\ne48tKCiod/eW1NRU8vPz6+0zbtw4IDji6VQ33XRT6PtFixbRu3dvYmNjqaysZObMmTz//PPMmjWr\ncS+mjSipqOF/3tjK0UIXiY4oHr21H13TNEVBRORUBoOBkZkXkJ5k4+9vb+fdT49QUFIa1OCEAAAg\nAElEQVTNA6P7EG3VYufSPG655ZbQ96WlpWzZsgWj0cjVV1+Nw6H3bhE5e2aTkYTYKBJOCaicVcGA\nylnlxlXjpbSyltLK4F09TwZUcfZgQGWLUkAlIudXo3vYM2fOZPv27fTo0QOLxcKuXbto164dMTEx\nGAwG3n333e891u/31/sjFggEMJkat3bRwoULWbZsGYsXLwbg6aef5sEHH6Rdu3aNfSltwsH8CuYu\n20Z5pZuuaQ4evbUfiY6ocDdLRCRiXXVxe5LjY5j35ja+3FvEzFe/4NHb9LdTmteaNWt47LHH6Nat\nG36/n9/97ncsWLCA/v37h7tpItJKmE1GEh1Rofe3UwOqiio3rhrPdwKqOLsVh81CvN1KjAIqETlH\njQ6kunXrxq9+9SsGDRoEwLZt2/jHP/7B3Llzz3hsWloamzdvDj0uLCysN2LqTKZNm8bWrVtZsmQJ\nSUlJuFwuNm3axJ49e5g3bx7Hjx/nk0/+f/buPLypMn0f+H2ytc3SlbZsCggKyL4zRcFCBYWWtiAC\nooIbLvgFrVgFcWCQRUV2UH8MiqMoyFJKHVodZRmHVUCgLLKp7DQ0TZc0aZrt/P5IG4igbWmbpM39\nuS4vm5yT9Dl5TsPJnfe8Zx8EQUBiYmJVN63eOXxGh48zjsFidaDL3Q0wPqEdAhScvJyIqCLNGmrw\n1hPdsHhDNs5rDZj9xQG88kgnNI2q3CnqRNW1YMECrFq1Ch07dgQAHD58GDNnzkRaWpqXKyOi+upW\nAVVR2fxThUYLTKVW6A1m6A1mAIBcKnGd3hesVEAZyNHERFQ1VX7XOHv2rCuMAoCOHTviwoULlXps\nTEwMli5dCr1ej+DgYGRkZGD06NGVeuySJUtw9uxZfPnll1AqnZfkVqlU+PHHH13rTJkyBb169WIY\nBWDrwUv46ofTEEXgwe53YGR/zoNCRFQV4cGBeHNMV3y8+TiO/paHOasP4qXk9mjfIsLbpZEfUCgU\nrjAKADp37oxqXhiZiKhKZFIJwoMDER4cCACw2hwwmJyjp4qMFphKbbcMqELKTvELCmBARUR/TVLV\nBwiCgB07drhuf/fdd5We1DwqKgqpqakYO3Ys4uPj0bZtW8TFxWHatGnYvn37nz7OZDJh5cqV0Gq1\nGDNmDJKSkpCcnAytVlvV8us9hyhi7dYz+PL70wCAMQ/eg9FxdzOMIiK6DUEBMkx8pANiuzSB2WLH\nonXZ+N+RKxU/kKia7r33XmzatMl1e+vWrWjTpo0XKyIifyeXOQOq5g2D0bFlA3S7JxJ3NwlFdJgS\nQQoZrHYH9AYzfs8pwpFfdTh4KhdnLhVAm29CSanN2+UTkQ8SxCp+3fbzzz9j4sSJcDgcEEURYWFh\nWL58OVq0aFFbNdaa3FyDt0uoUVabA59sOYGffrkGhVyCF4a2R+e7G3i7LCKiOk8URXz300Ws234W\nAJB0Xwsk9GnOuTPqgchI35wo/L777oNOp4NarYZUKkVhYSEkEgkEQYAgCDh27Ji3S4ROZwAHbfkW\nQQAaNNCwNz7IH3pjtdlReMMpfmaLewilkEkRrFQgWOW8kp+vjKDyh97UVeyN7yrvTbWfp6qBFABY\nrVacOnUKQUFBaN68eZUnJvcV9SmQMpmtWLrxKE5dLIBGKccrIzqhRaNgb5dFRFSv/PSLFiv/fQI2\nu4i+nRrjiUH3QCqp8mBj8iG+Gkj98SrGf9SkSRMPVfLn+AHB9/DDm+/yx95YrPay0/usKDLdHFAF\nyKTQqMrnoJJ77Yq2/tibuoK98V01FUhV+a/eZDJh/vz5OHv2LJYsWYJ33nkHb7zxBoKCgqpdDN0e\nfZEZC9cdwWWdEVGhQXh1ZCdEhym9XRYRUb3Ts200gpUKLE07ih+PXEFhcSleSGzPC0ZQjYuMjMSP\nP/6IgoICt/sfeeQRL1VERFQ1CrkUDUKC0CDE+Tmx1GqHwWhBockCg9EKs9WG0sIS6ApLADgDqmCV\nAhqVAiFKBf9tJfIDVQ6k5s6dC5VKhby8PMjlcuh0OvzjH//Au+++Wxv1UQUu64xY8PVh5BtK0aKR\nBpMe6YRglcLbZRER1VttmoVhypiuWLj+CI78mof31xzCKyM6QqPkey/VnJdffhmXLl1C48aNXfcJ\nglDlQColJQUnTpxwfXE4YcIExMXFuZbv3LkTkydPRqNGjQAAbdu2xZw5c2pgC4iI3AXIpQgIDUKD\n0LKAymJ3TZBeZLSg1GZHbmEJcssCqkC5DBqVHCFKZ0gVIGdARVTfVDmQys7OxubNm5GUlASlUonF\nixcjISGhNmqjCpy9XIjF64/AaLahY8sIvMhv6YmIPKJplBpvPdENC9cdwe9Xi/Dulz8j5dHOiAgJ\n9HZpVE+cP38emZmZ1Z4W4fjx41i/fj2Cg299Gn92djZefPFFjB07tlq/h4ioqgIUUkQqghBZFlCZ\nLTYUmayugMpstcFcYENuwfWAKljlnIMqWKmAggEVUZ1X5UDqjwdGgiDU2Tmk6rLsX/PwYfpRWKwO\nxLRviHEPt4FMynlMiIg8JTw4EG+M6YolG7Jx9nIh5qw+iJSRndGkgcrbpVE90KJFC5jNZqhUt78/\nFRYWQq/XIzU1FVeuXMHAgQPx8ssvu61z9OhRlJaWIj09HY0bN8bf//53REdHV7d8IqIqC1TIEKiQ\nIaosoCoptcFw4xxUZQHVtYLr64eoFNAo5QhRKSCX8TMpUV1T5UDq3nvvxapVq2Cz2XDy5En861//\nQvv27WujNvoTe47n4NMtv8DuEDGo5x0YEdsKEl7piYjI49RBcrw2qjM+Sj+G7F/z8O7qg3hlRCe0\nbBLi7dKojhs9ejSGDh2Krl27Qia7frg2d+7cSj+HTqdDnz59MHPmTCgUCjz//PNIS0vDsGHDXOuE\nhoYiPj4effr0wZo1a/Daa69h9erVNbotRES3IyhAhqAAGaLCnLdLSm03nOJnhdlig9ligza/bH1F\n2Qiqsiv5MaAi8n1VvspecXEx3n33XWzbtg12ux19+/bFtGnTEBJS9w6+6+JV9r4/cBFrfjgDABgR\n2xIP92rm5YqIiMhmd2BV5knsOZ4DhVyCl5M7oP1dEd4uiyrBV6+yN2TIEHTs2BF33nmn2/0vvvji\nbT/nDz/8gIyMDCxZsuRP1+nRowe2b98OtVpd4fPl5fGqR75GEICICA1744PYm5pXUmpDodECg8mC\nQqMFNpvDbXlQQNkIqrKQSi679dkk7I3vYm98V3lvqqvKI6S+//57zJo1q9q/mKpGFEV8s+sc0nf+\nDkEAxj3cBvd3bFzxA4mIqNbJpBI8E98WGqUc/9l/EYs3ZOP5oe3QvU2Ut0ujOqwqo6Fu5dixY8jN\nzUVsbCwAwOFwuE2zYLFY8Nlnn2H8+PFuj7txRNZfqYkDUaod7I3vYm9q1h03/GwssaKguBQFhlIU\nFJfCZnPAaBVhLChFTkEpVEFyhKoDEKoJQIg64KaAir3xXexN/VXlQOqTTz5BcnLybf/CrKwsLF++\nHFarFUOHDsWECRNuud7ixYshlUpdcx1cunQJ06ZNQ35+PqRSKVJTU9G7d29YLBZMnz4dx44dA+C8\nHHJ9m5hTFEV8ve0s/rP/ImRSAc8PbY9urSO9XRYREd1AIggY2b8V1EFypP34Gz7afAzjLPzygG5P\n69atkZ2djY4dO972c1itVsydOxc9e/aEXC7H2rVr3a7Sp1AokJaWhnvuuQcPPPAANm7ciE6dOiEw\nsHKT8/Mba9/D0QS+i73xjAABiA5WIEojv2EElXOidIOhBDnXrq+rCpRDo1IgVK1As6bhKCo0sjc+\nhn83vstrI6TuvvtuLFmyBN27d3c7YOnatWuFj9XpdJg3bx7S0tKg0Wjw7LPPYvfu3YiJiXGtYzAY\nMHfuXGRlZeGZZ55x3f/OO+9g2LBhGDp0KH799Vc8+eST2LlzJ7744gtIpVJ88803MJlMeOSRR9Cz\nZ0+0bdu2qpvmkxwOEf/69iT+l30VCrkE/ze8I9o1D/d2WUREdAuCICA+pjmCAmT48vvTWJV5EuZS\nOx7scUfFDya6waVLlzBq1ChER0dDoVC47v/uu+8q/RxdunTBY489hhEjRsBut+Ohhx7C4MGDMW3a\nNAwYMACxsbFYuHAhpk+fjvnz5yMiIgLvvfdepZ9fFMEPCD6KvfFd7I2nCAgKkCMoQI6G4c4v+E2l\nNtcV/AwmK4rNzv9y8oy4km+G3WqDJkiB4LKJ0nnBKN/Bv5v6q8pzSPXv3//mJxEEbN26tcLHbt68\nGfv27cOcOXMAAOnp6di/fz9mz57tWictLQ16vR4mkwkSicQ1QiozMxMDBgxAQEAAHA4HevfujW3b\ntuHkyZOIiopyzbHwwgsv4NFHH71lnX/k63NI2ewO/PObE9h/8hqUATK88mgntOJEuUREdcLuY1fx\n6ZaTcIgiku5rgYQ+zSHwAhQ+x1fnkPrpp59ueX/Pnj09XMmf0+n4jbWvEQSgQQMNe+OD2BvfIooi\njOayq/iZLBCkMuQXGFHeGgECVIFlk6SrFFAHMaDyBv7d+K7y3lRXlUdIbdu27bZ/mVardbuUcHR0\nNHJyctzWKb/yy7Jly9zuHzx4sOvnlStXom3btlCr1ejevbvr/gMHDuDo0aOYN2/ebdfoK6w2Oz7c\ndAxHfs1DsFKOlJGdcWe0bx40ExHRzWLaN0KgQoaPNx9D+s7fUWq145EHWjKUokrp2bMnCgoKUFJS\nAlEUYbfbcf78eW+XRURULwiCAHWQHOogORo3UCEiQo3zF/NRYLTAYLTAUHJ9BNWVPCMEONfXKOUI\nUSmgVsohlTCgIqquSgdSL730Ej788EMAwJkzZ3D33XdX+Zc5HA63A3FRFN0m16yMFStWYMOGDfji\niy/c7t+9ezdSU1Mxf/58aDR1O7gptdqxbGM2jp/LR5gmAK+P7oKG4Upvl0VERFXU9Z5ITHqkE5Zu\nzEbWvguw2BwYHXc3JAylqALLli1zHXeVD2Zv0aIFMjMzvVkWEVG9JAgC1Eo5VEFyoIEKDlGEscQ5\n91SRyQqDyQJDifO/K3lGSAQBqiA5gpVlp/gFySGR8N92oqqqdKx75coV18+pqam39csaNmwIrVbr\nup2bm+s2YqoiM2bMQFZWFtasWeP2uPT0dKSmpmLp0qXo3bv3bdXmK0pKbVi47giOn8tHg5BAvDmm\nK8MoIqI6rF2LcLz6aCcEKKTYevASPv/2FBwcd04V2LhxI7Zu3YqBAwdi+/btmDFjBtq3b+/tsoiI\n/IJEEKBRKtAkUo22zcLQvU0U7m0ejjsi1QhROuf1M5gsuKwrxi/n9Thw6hqOn9Pj0rViFBktcDj4\n7zxRZdzWOMMqTjvlEhMTg71790Kv18NmsyEjIwP9+vWr1GOXLFmCs2fP4ssvv0RERITr/j179mDB\nggX44osv0KVLl9uqy1eYzFYs+PowTl8sQHRYEN4c0xWRoUHeLouIiKqp9Z1hmDyyM4ICZPjxyBV8\n8u9fYHc4vF0W+bDw8HA0atQILVu2xOnTpzFy5EicPXvW22UREfkliSAguDygah7uDKiahaNppBrB\nNwRUl3TFOFEWUJ04p8el3LKAil9EEd1SleeQAnDb819ERUUhNTUVY8eOhdVqRVxcHOLi4tyu9nIr\nJpMJK1euRHR0NMaMGQNRFCEIAj7++GMsWbIEdrsdKSkprvsnTJiAuLi426rRW4pLrJj/9WGczzGg\ncQMVJo/qjFB1gLfLIiKiGtKySQhSR3fBB2sPYc/xHNjsDowfei/noKBbkslkyMvLQ7NmzZCdnY2+\nffuiuLjY22URERHKAqqyCc8R6bwyuqHECoPRgkKTxXm6X9mE6eXra4LkztP7yiZJ5+n7RFW4yl5C\nQgI++eQTiKKIZ5991vVzuaqceucrfOUqe8UlVnyw5hAuXCtG00g1Jo/u7EraiYiofrl0rRjz1h6C\nwWRF99aRGD+0Ha/c40W+epW99PR0rF27FitWrMDQoUOhVqvRokULLF261NulufCqR76HV6TyXeyN\n76qN3pQHVM45qCwoNlkh4vqTl58SGKxSILhs7ioGVDfj343vqqmr7FU6kGrTpg0EQbjl6XqCIOCX\nX36pdjGe5guBlMFkwQdrD+PitWLcGaXG5NFdoA6Se7ssIiKqRZdzizFvzSEUmazodk8knk9kKOUt\nvhpIAUBpaSkCAgKg1Wpx9OhR3H///QgI8J3R0/yA4Hv44c13sTe+yxO9sTscKDZZUWi0wGCyorjE\nPaCSSiTQBMmhUSkQolJAFSjjVXnBvxtfVlOBVKVP2Tt58mS1fxm5KzJZ8MGaQ7iUa8Sd0WpMHsUw\niojIHzSJVCP1sa54f80hHDydi4/Sj+HFpPYMpQgAYDAYIJFIoFKpkJOTg6ysLLRv396nwigiIqo8\nqUSCEHUAQsqmZLHZHSguH0FltMBotqHAWIoCYykuApBJJNAoy07xUzKgovpLOmPGjBneLsJbTGXn\n9HpDkdGCeWsP4XKuEc0aavA6R0YREfkVjVKBTq0icPB0Ls7lGHDxWjG6tY7kZaM9TKXyrZDnyJEj\nGD58ODp27Ijw8HAkJycjLy8P3377LcLCwnD33Xd7u0QXbx5H0a0JAqBUBrA3Poi98V3e6I1EIiBQ\nIUOIOgBRYUo0DFdCo1RAIZMCImC22mG22FFotOBaQQm0+hIYTBZYbQ5IJALkUolfBFT8u/Fd5b2p\nrtua1Jyqx3manjOMatFIg9dGdoYykGEUEZG/aRShwhuPdcX7X/2Mw2d1HClFWLhwIRYvXoyYmBis\nWbMGoaGh+PLLL5GXl4fx48dj8ODBVXq+lJQUnDhxAkFBzqv2/vHCL1qtFq+//jry8vIQGRmJBQsW\nIDw8vEa3iYiI/ppMKkGYJgBhmusjqAym63NQGc1W5BeXIr+41Lm+RFI2ekqOEJUCQQEcQUV1EwMp\nDysuseKDtYdxKdeI5g0ZRhER+buG4Uq88VhXvPvVzzh0Rof/l3Ecz3Oic7+Vl5eHmJgYAMCBAwfQ\nv39/AEBERAQslqp/Q3z8+HGsX78ewcHBt1w+c+ZMDB8+HImJidi4cSNmz56N+fPn3/4GEBFRtd0q\noCoPp4qMVphKrdAbzNAbzAAAuVRywyTpCigD+TGf6gYe7XqQ0WzF/PIJzKPVeG0UwygiIgKiw5VI\nHd0FwSoFDp7Kxcp/n4Dd4fB2WeQFEsn1Q7NDhw6hW7durtsmk6lKz1VYWAi9Xo/U1FQMHToUy5Yt\nc1tus9mwb98+xMfHAwCSkpKwY8cO2O32amwBERHVNJlUgvDgQDRvGIyOLSPQ7Z4o3NM0FNFhSigD\nZLDaHdAbzDiXU4Ts33Q4eOoazlwqgFZvQkmpzdvlE/0pRqceYioLo85rDbgjyjmBuYphFBERlWkU\nocLro7vg/a9+xk+/XINEEPBs/L2cU8rPhIWF4fDhwzCZTMjPz0ePHj0AAHv37kWTJk2q9Fw6nQ59\n+vTBzJkzoVAo8PzzzyMtLQ3Dhg0DABQUFECtVkMqlQIApFIpNBoN9Ho9IiMja3bDiIioxshlzoAq\nPDgQAGC12VFktJaNoLKgxGJDXpEZeUXlI6ikCFbJXSOoggIYA5Bv8PiemJWVheXLl8NqtWLo0KGY\nMGHCLddbvHgxpFIpXn75ZQDApUuXMG3aNOTn50MqlSI1NRW9e/cG4Jxv4T//+Q8AIDU1FbGxsZ7Z\nmEoqKbVhwbojOJdjQNNIFSaP6swJzImI6CZNGpSHUoew94QWEomAp4e0hYTzQviNlJQUjB8/HgaD\nAW+88QYCAwOxYsUKfPzxx1ixYkWVnqtly5ZYtGiR6/YTTzyBjIwMVyBlt9tvmnPE4XC4AqqKcLf0\nPeU9YW98D3vju+pDbxRyKRqEStEg9HpAVWh0nt5XZLTAbLFBX2SHviygUsil0CgVCFHJofHhgKo+\n9Ka+qqmeeHTP0+l0mDdvHtLS0qDRaPDss89i9+7drrkSAOeljufOnYusrCw888wzrvvfeecdDBs2\nDEOHDsWvv/6KJ598Ejt37sTWrVtx7NgxZGZmQqfT4bHHHkP37t2h0Wg8uWl/qtRqx+IN2fjtShEa\nN1Bh8qgu0CgV3i6LiIh8VNNINSaP6ox5aw5h97EcKGQSPDGoNScr9RMdO3bEjz/+CLPZ7Jr3qVu3\nbti4cSNatGhRpec6duwYcnNzXV/U/TFsioiIgMFggMPhgEQigd1uR0lJCUJCQir1/BERvnGsRTdj\nb3wXe+O76ltvGt3wc6nVjgJDKQqLS1FgKEVJqQ0WB5BrsCLXYEWAQopQdQBCNQEIUQf4XEBV33pD\n13l0T9u1axd69+6N0NBQAEBiYiK2bNniFkh9//33uOuuu/DUU0+5PTYxMREDBgwAALRo0QJWqxVG\noxHbt29HQkICBEFAZGQkevbsiW3btiExMdFzG/YnrDYHlqUdxemLBYgOC8LkUZ0RrGIYRUREf+3O\naA1SRnbGB2sPYcfhK5DLpBg1oBVDKT+hUCigUFw/XrhxHqmqsFqtmDt3Lnr27Am5XI61a9fikUce\ncS2XyWTo0aMHMjIykJSUhIyMDPTs2bPSI6Ty8gwQxdsqjWqJIDg/uLE3voe98V3+0hspgHClDOFK\nGUqtdhiMFhQaLTCYrDAYSqDLK3atG6CQIrh8knSVAgHyyv27UNP8pTd1UXlvqsujgZRWq0V0dLTr\ndnR0NHJyctzWKR9G/seJN2+8zPHKlStx7733Qq1W3/SckZGR0Gq1tVF+ldjsDnyUfgzHf9cjIjgQ\nr4/uglB1gLfLIiKiOqJFo2C8OqIz5n99GN8fuIgAhQTD+rb0dllUh3Tp0gWPPfYYRowYAbvdjoce\negiDBw/GtGnTMGDAAMTGxmL69OmYMmUKVq5cidDQUHzwwQeVfn5RBD8g+Cj2xnexN77Ln3qjkEkR\nERKEiJAgAECpxY5CkwUGo6XsFD87zJYSXCsoAQAEymXQqOQIUSqg8UJA5U+98TceDaQcDofbt7ui\nKFb6W7hyK1aswIYNG7B69eo/fc4br1DjDQ6HiJX/PoHDZ3UIVSvw+ujOrgnniIiIKqtV0xBMHN4B\nizZk49+7z0MhkyI+prm3y6I6ZNy4cRg3bpzbfbNmzXL93LBhQ6xatcrDVRERkS8JUEgRpQhCVKgz\noDJbbCgyWlBkKpuDymqDucCG3PKASiErG0ElR7BSAYWXRlBR3efRQKphw4bYv3+/63Zubq7b6KaK\nzJgxA0eOHMGaNWsQERHhes5r16651tHpdGjVqlXNFV1FDlHEZ1kn8dMv16BRyvH66C6IClN6rR4i\nIqrb2jYPx4TkDli6MRtpP/6GAIUUD3a/w9tlERERUT0VqJAhUCFDVJjzdkmpDQaTc5L0wrJJ0s0W\nG64VXF8/pOwKfsEqOeQyBlRUOR4dShQTE4O9e/dCr9fDZrMhIyMD/fr1q9RjlyxZgrNnz+LLL790\nhVEA8MADD2Dz5s2w2+3Q6XTYu3ev25xUniSKIr7eehY7j16FMkCG10Z2RqMIlVdqISKi+qNjywi8\nkNgeEkHAmh/OYGf2VW+XRERERH4iKECGqDAlWjUNQbfWkejUsgFaNApGRHAg5FIpzBYbtPkmnLlc\ngIOnc3HkrA6/Xy1CXqEZVpvD2+WTD/PoCKmoqCikpqZi7NixsFqtiIuLQ1xcnNtcBrdiMpmwcuVK\nREdHY8yYMRBFEYIg4OOPP8bAgQNx7NgxJCYmwuFw4LXXXnMLrDwpY9c55zwfcilefbQT7ozm1QCI\niKhmdGsdiacGt8EnW37BqqxfEBQgRbfWUd4ui4iIiPxMUIAMQQEyRJedCWQyO0dQOSdJt6DEYkNJ\nWUgFAMoAmXOCdKUCGqUCcpl3p9gh3yGIov9OD5aba6ix5/rP/otYu/UMZFIBr4zohHubh9fYcxMR\nEZX74cBFfPXDGUglAiaN6Ij2LbzzJUx9ERnJL49ul07Hqx75GkEAGjTQsDc+iL3xXexNzRJFESWl\ndhSZnBOkFxktsDncR0kpA+QIUSmgUcoRrFJAJr11QMXe+K7y3lSXR0dI1Vf/y76CtVvPQCIIeCGx\nPcMoIiKqNXHd70BJqQ2b/vc7lqUdxeSRXdCqaYi3yyIiIiKCIAhQBsqgDJShYbiyLKCylY2eck6S\nbiq1wlRqxVW98zGqQHnZ/FPOkOrPAiqqfxhIVdPPp3PxWdZJAMDTQ9qg6z2RXq6IiIjqu/iY5jCV\n2vDdTxexaP0RvDmmK5pGqb1dFhEREZEbZ0AlhzJQjkYRzhFUplKba/SUwWSF0ez876reCAECVIEy\naJQKhKgVCA3jnMz1GQOpajh5Ph8fbz4OUQQei7sbMe0bebskIiLyA4Ig4NHYVjCabdiZfRXz1x3G\n1Me7IbLscs1EREREvkgQBKgC5VAFytEoQgVRFGE028rCKWdAVWx2/pejN+JqgRkOqw2aG0ZQSSUc\nQVVfMJC6TedzDFiyMRs2uwMJMc0Rx0twExGRBwmCgLEPtYaxxIpDZ3SY/7UzlApWKbxdGhEREVGl\nCIIAdZAc6iA5gOsBVaHRgmKTBZAIKCqxwlBixZU85wgqdZAcGmX5PFQKSCSCtzeDbhOjxdugzTdh\n4brDMFvseKBLEyTd38LbJRERkR+SSiR4IbEdWt8Rimv5JViw7jBKSm3eLouIiIjotpQHVE0aqNCm\nWRhiOjRGuxbhuCNSjRBVAAQBMJRYcCXPiF8u5OPAqWs4fk6Pi9eKUWi0wOHg7Od1CUdIVVFBcSnm\nrz2MIpMV3VtH4vEH74EgMJElIiLvkMuk+L/hHfHeVz/jgrYYSzdm49VHO0Euk3q7NCIiIqJqkUgE\naJQKqIMUaALAIYooLnFOjm4wWmAosZad6mfBZR0gKQu0yidJVwfJOYLKhzGQqgKT2YaF645AV2hG\n22ZheC6hHXduIiLyOmWgDCmPdsLc1T/j5IUC/PObE3ghsT3/jSIAwHvvvYeCghJt4lQAACAASURB\nVALMnTvX7f6dO3di8uTJaNTIOQdm27ZtMWfOHG+USEREVCkSQXCGTUoFEAk4HGUBlck5SbrrZ5MF\nKAuoNEFyaFQ3BFQcUOIzGEhVktXmwLK0bFy8Voxm0Rq8PKwD5DKe8UhERL4hRB2AlFGdMeeLgzhw\nKhdrtp7BY3F3cxSvn9uzZw/S09PxwAMP3LQsOzsbL774IsaOHev5woiIiGqARCIguCxsKg+oDCVW\nGIwWFJosMJZYUWhy/ozc6wFVsEoBDQMqr/NKopKVlYX4+HgMGjQIy5cv/9P1Fi9ejGXLlt10/4YN\nGzBlyhTXbavVismTJyMhIQFJSUnYs2dPjdbrEEV8suUETl4oQGRoIF55tBOCApjlERGRb4kKDcKr\nIzohQCHF1oOXkLXvgrdLIi8qKCjAokWL8MILL9xy+dGjR/Hf//4XycnJmDBhArRarYcrJCIiqlkS\niYAQlQJNo9Ro1zwc3VtHoe2dYWjSQA1NkAKiCBSaLLiYW4wT5/Q4cPIafjmfj8s6IwwmCxwi56Dy\nJI8HUjqdDvPmzcPq1auRmZmJAwcOYPfu3W7rGAwGTJ06FZ999pnb/RaLBfPmzbtpOPnmzZtht9vx\nzTff4P3338ebb75ZozWv23YWP/1yDeogOVIe7YwQXsGIiIh8VLOGGryc3AFSiYANO37F7mNXvV0S\necn06dORkpKC4ODgWy4PDQ3FM888g02bNuG+++7Da6+95uEKiYiIapdEIiBEHYA7otRo1yIc3dtE\nou2dYWgcoYI6SO4MqIyluHjNgOPn9Dh4Khcnz+fjis6I4hIrRAZUtcrjw3x27dqF3r17IzQ0FACQ\nmJiILVu2ICYmxrXO999/j7vuugtPPfWU22P37t0LQRCQmpqKI0eOuO53OBwwm82u/wcGBtZYvd/u\nu4D/7L8IhVyCV0Z0QnS4ssaem4iIqDa0axGOpwe3xT//fQKrMk8iWKlA+7sivF0WedD69evRuHFj\n9OrVC5s2bbrlOjfOKTV69GgsWLAAxcXFUKvVlfodPMPB95T3hL3xPeyN72JvfFdt9EYmlSBUE4BQ\nTQAAwGZ3uCZJLzRaYDLbUGgsRaGxFAAglUqgUcoRolJAo1RAFSjjdAiouZ54PJDSarWIjo523Y6O\njkZOTo7bOsOGDQOAm07X69u3L/r27XvTgVVycjLS0tJw//33w2AwYMGCBTVS674TWqzbfhYSQcBL\nSR1wV+Nbf8NIRETka/7WviEKikuxfsevWL7pGN4c0xXNGmq8XRZ5SFZWFnJzc7Fnzx4UFhbCZDJh\n9uzZeOuttwA4R51/9tlnGD9+vNvjZLLKHxpGRHB/8lXsje9ib3wXe+O7PNkbm92BwuJSFBhKUVBc\nimKTFXYAeqMNeqMNMpkEISqFM9RSB0AVJGdAVQ0eD6QcDodbw0RRhFRavUtTL1u2DF26dMHatWtx\n7tw5jBs3Du3atXNdNeZ2nLqQj0+2nAAAjH2oNTq25DfLRERUtzzU607oDaXYevASFq0/gree7IYG\nIUHeLos84NNPP3X9vGnTJvz000+uMAoAFAoF0tLScM899+CBBx7Axo0b0alTpyqNMs/LM4BnMvgW\nQXB+cGNvfA9747vYG9/lzd6EBEoREqiEze6AwWRFodECg9GCfIMV+flG13oyqcQ5qbpSgWCVHEEB\n/jGCqrw31eXxQKphw4bYv3+/63Zubq7biKnbsXXrVixatAgA0Lx5c3Tq1AnZ2dm3HUhdzTNiWdpR\n2OwihvZpjvs7Na5WfURERN4gCAJGD7gb+iIzDp3RYdH6bEx9vCuUgXJvl0ZeMm3aNAwYMACxsbFY\nuHAhpk+fjvnz5yMiIgLvvfdelZ5LFMEPbz6KvfFd7I3vYm98lzd7I5VIEKp2joYCnCOoiowWFJks\nKDJaYSq1Iq/IjLwiMwBALpVAo1S4QiplIC+G9lc8/urExMRg6dKl0Ov1CA4ORkZGBkaPHl2t52zT\npg2+/fZbvPzyy9Dr9Th27BhSUlJu67kKjRYsXHcERrMNfdo3ROJ9LapVGxERkTdJJALGD22HeWsO\n4bcrRViWdhSvPtoZcplXLrRLXpCcnIzk5GQAwKxZs1z3t23bFuvWrfNWWURERHWOTCpBeHAgwoOd\nI4qtNgcMJuf8UwaTBaZSG/QGM/SG6wHV9RFUCgQFMKC6kcdfjaioKKSmpmLs2LGwWq2Ii4tDXFyc\n2zd2VTVlyhS8/fbbGDJkCGQyGV599VU0a9asys9TarFj8foj0BWacW/zMIx9uI1fDLcjIqL6LUAu\nxcRHOmLO5wdx8kIBVmX9gufi7+W/cURERETVIJf9MaCyo8hoLRtBZUGJxfaHEVRS5wTpKjmClQyo\nBNGPr2OYm2tw/exwiFiWdhSHz+rQNFKFN8d04/A6IiKqV3L0Jsz54iCKS6yIj2mGYX1berskr4uM\n5CS2t0un43wrvkYQgAYNNOyND2JvfBd747vqQ28sVjuKTBbXPFRmi81tuUImLRtBJUewSoFARd3I\nIMp7U111Y2s9YO3WMzh8VodQtQKvjOjEMIqIiOqdhuFKTBzeEe+vOYR/7z6PqFAl7ut4+xcAISIi\nIqI/p5BL0SAkyHVRGYvVXjYHlRVFRgvMVht0hSXQFZYAAAJkUmhUztP7QpQKBCiqdwE4X8fUBcDW\ng5fww8FLCJBL8cqITq7hdkRERPVNq6YheDa+LT7efBz/+vYkIkIC0bZZmLfLIiIiIqr3FHIpGoQG\noUGoM6AqdQVUzlP8Sq12lN4YUMmlbnNQBcjrV0Dl94HUkbM6fPXDaQgC8HxiO9wZzaH7RERUv/Vs\nG41r+SVI+/E3LE87iree7IZGESpvl0VERETkVwLkUkSGBiGyPKCy2FFossBgvB5Q5RaUILfAGVAF\nymXQqOQIKQuoFHU8oPLrQOqC1oCPM45DFIHRcXejc6sG3i6JiIjII4b8rRm0+SbsOpqDReuP4K0n\nuyNYqfB2WURERER+K0AhRZQiCFFlAZXZYrvpFD9zge16QKWQlY2eck6SXtcCKr8OpBZvyEapxY4B\nXZviwe53eLscIiIijxEEAWMfaoO8QjNOXijAso1HkfpYF8ikEm+XRkRERERwBk6BChmiymZXKCm1\nOSdJN16fJN1sseFagXN5kEJ2wyl+cshlvh1Q+XUglW8oRceWERgV18rbpRAREXmcTCrBhGEdMPvz\ngzh7uRDX8kvQuAFP3SMiIiLyRUEBMgQFyBD9h4CqyGhBkdGKEosNJRYbtPkmAIAyQAaNUoEQlQIa\npQJymW998ejXgdSrj3ZCmztDIZX4VlOIiIg8RRUox9QnuuG81oBGEUpvl0NERERElXQ9oHIew5nM\nNhhMFhQaLTCYLDCV2mAqdQ+oykdQ+UJA5ZVAKisrC8uXL4fVasXQoUMxYcKEW663ePFiSKVSvPzy\ny273b9iwAQcPHsTcuXMBAFarFe+99x4OHjwIm82GN998E3369Kmwjg53RVR/Y4iIiOo4dZAc7ZqH\ne7sMqiXvvfceCgoKXMdN5bRaLV5//XXk5eUhMjISCxYsQHg49wMiIqK6ShkogzJQhuhwJURRLBtB\nZS0bQXU9oMrRlwdU8rLRU3IEqxQen7rB43GYTqfDvHnzsHr1amRmZuLAgQPYvXu32zoGgwFTp07F\nZ5995na/xWLBvHnzMGfOHLf7V65ciYKCAmzatAkLFy7ElClTansziIiIiHzenj17kJ6efstlM2fO\nxPDhw7FlyxYkJCRg9uzZHq6OiIiIaosgCFAGytEwXIl77ghFt9aR6HhXBJpFaxCmDoBMIoGp1Iqr\neiNOXyrAgVPXcPS3PJzPMSDfUAqb3VHrNXo8kNq1axd69+6N0NBQSKVSJCYmYsuWLW7rfP/997jr\nrrvw1FNPud2/d+9eCIKA1NRUt/szMzMxfvx4AECrVq2watUqiKJYuxtCRERE5MMKCgqwaNEivPDC\nCzcts9ls2LdvH+Lj4wEASUlJ2LFjB+x2u6fLJCIiIg8oD6gaRajQ+s4wdGsdiQ5/CKiMZmdAdepi\nPg6eysWx3/JwQVt7AZXHT9nTarWIjo523Y6OjkZOTo7bOsOGDQMALFu2zO3+vn37om/fvti0aZPb\n/RcuXMD+/fsxdepUyGQyvPrqq2jZsmUtbQERERGR75s+fTpSUlJw5cqVm5YVFBRArVZDKnVefUcq\nlUKj0UCv1yMyMtLTpRIREZGHCYIAVaAcqrKQShRFGM021+l9hhIris3O/5BnhAABqiAZgpUKhKgV\naNBAU+0aPB5IORwOCILgui2Koutg6HbZ7XZcvnwZGzZswKlTp/DMM8/g22+/hVqtrm65RERERHXO\n+vXr0bhxY/Tq1eumL/IA57HTjcdjgPMYrSrHZH94OPmA8p6wN76HvfFd7I3vYm88SxAEaJRyaJRy\nNIksC6hKbCg0WWAwWmAwWWEscf6XozeiVfMG1f6dHg+kGjZsiP3797tu5+bmuo2Yuh2RkZEYPHgw\nAKB169Zo1KgRfv/9d3To0KGCx1U/0SMiIiLyNVlZWcjNzcWePXtQWFgIk8mE2bNn46233gIARERE\nwGAwwOFwQCKRwG63o6SkBCEhIZX+HRERPI7yVeyN72JvfBd747vYG++p7THTHp9DKiYmBnv37oVe\nr4fNZkNGRgb69etXreeMjY1FZmYmAODSpUu4evUqWrRoURPlEhEREdU5n376Kb755hukp6dj4sSJ\n6N+/vyuMAgCZTIYePXogIyMDAJCRkYGePXtWe9Q6ERERUWV5PJCKiopCamoqxo4di/j4eLRt2xZx\ncXGYNm0atm/fflvPmZKSgry8PMTHx+PFF1/ErFmzeLoeERER0R/ceLw1ffp0bN68GfHx8di4cSPe\nfvttL1dHRERE/kQQeTk6IiIiIiIiIiLyII+PkCIiIiIiIiIiIv/GQIqIiIiIiIiIiDyKgRQRERER\nEREREXkUAykiIiIiIiIiIvIovwmk3nvvPUyZMuWm+7VaLZ588kkMGTIE48aNg16v90J1te/Ptn/n\nzp3o3bs3kpOTkZycjKlTp3qhutqVkpKChx56yLWNP/zwg9tyf9gHKnoN6vt+sG3bNgwfPhxDhgzB\n7Nmzb1p+5swZjBw5EoMHD8akSZNgNpu9UGXtqWj7v/76a9x///2u/i9atMgLVdaetWvXIikpCcnJ\nyUhKSkLPnj3xxhtvuK1Tn98HKrP99f09AIDranIJCQl4//33b1pen/eB25WVlYX4+HgMGjQIy5cv\nv2k5XzPvqag3x48fx6hRo5CUlIRRo0bh5MmTXqjSP1XUm3InTpxAhw4dPFgZVdSb3NxcPP/880hK\nSsJjjz2Gy5cve6FK/1RRby5fvozHH38cSUlJeOKJJ3D16lUvVOm/iouLkZCQgCtXrty0rNqfo0Q/\nsHv3brF3797im2++edOyl156SUxPTxdFURQ3bNggpqSkeLq8WvdX2798+XLxs88+80JVnjNw4ECx\nsLDwT5f7wz5Q0WtQn/eDCxcuiPfff7+o1WpFm80mjhkzRtyxY4fbOomJieL+/ftFURTFxYsXiwsW\nLPBGqbWiMts/depU8fvvv/dShZ71+++/iwMGDBCvXbvmdr8/vA+I4p9vf31+DxBFUSwpKRF79uwp\n6vV60W63iyNGjBB3797tto6/7AOVlZubK8bGxor5+fmizWYTx40bJ+7atcttHb5m3lGZ3gwZMkQ8\ncOCAKIqiuGvXLnHo0KHeKNXvVKY3ouh8Txo9erTYpk0bL1TpnyrTm3Hjxolff/21KIqiuHbtWnHS\npEneKNXvVKY3r7/+uvjVV1+JoiiKX3zxhTh58mRvlOqXDh06JMbHx4vt27cXL1++fNPy6n6Oqvcj\npAoKCrBo0SK88MILNy2z2WzYt28f4uPjAQBJSUnYsWMH7Ha7p8usNX+1/QBw9OhR/Pe//0VycjIm\nTJgArVbr4QprV2FhIfR6PVJTUzF06FAsW7bMbbk/7AMVvQZA/d4PfvjhBwwZMgRRUVGQSqVYuHAh\nOnfu7Fqek5OD4uJidO/eHQAwYsQIbNmyxVvl1riKth9w9n/Dhg1ITEzEG2+8AYPB4KVqa9/MmTMx\nceJEREZGuu7zh/eBcrfafqB+vwcAgN1uhyiKMJvNsFqtsNlsCAwMdC33p32gsnbt2oXevXsjNDQU\nUqkUiYmJbu+NfM28p6LeiKKIp59+Gt26dQMAtG3bFjk5Od4q169U1Jty7777LsaNG+f5Av1YRb3J\nz8/HqVOn8OijjwIAkpOTkZKS4q1y/Upl/m4cDgeMRiMAwGw2IygoyBul+qV169ZhxowZiIqKumlZ\nTXyOqveB1PTp05GSkoLg4OCblhUUFECtVkMqlQIApFIpNBpNvRpy/lfbDwChoaF45plnsGnTJtx3\n33147bXXPFxh7dLpdOjTpw/ef/99rFu3Dvv370daWppruT/sAxW9BkD93g/Onz8Pu92OZ599FomJ\nifjyyy8REhLiWq7VahEdHe26HRUVVa8+jFe0/aIoonHjxnjllVewefNmREVFYdasWV6suPYcOHAA\neXl5GDp0qNv9/vA+APz59gP1+z0AAFQqFSZOnIiHHnoI/fr1Q9OmTdGlSxfXcn/ZB6rij++N0dHR\nbqEGXzPvqag3giBg2LBhrtsLFy5EXFycR2v0VxX1BnCeRl9aWoqBAwdCFEVPl+i3KurNxYsX0ahR\nI7z77rtITEzExIkTIZfLvVGq36nM382kSZOwatUq9O3bF6tWrcJzzz3n6TL91pw5c9CtW7dbvl/V\nxOeoeh1IrV+/Ho0bN0avXr1uudxut0MQBLf7HA6H6+Cqrqto+wFg7ty56NOnDwBg9OjROHXqFIqL\niz1VYq1r2bIlFi1ahODgYAQGBuKJJ57Ajh07XMvr+z4AVPwaAPV7P7Db7di5cyfmzZuH9evXIzs7\nG+np6W7L/7gP1Kf+V7T9giDg448/Rps2bQAAzz333E37R32xZs0aPPXUUzfd7w/vA8Cfbz9Qv98D\nAODUqVNIS0vDjh078L///Q+CIODTTz91LfeXfaAqHA6H22siiqLb68HXzHsq6s2N673zzjs4ceLE\nLecRpZpXUW90Oh0++ugjTJs2DQBu+hui2lNRb2w2G44fP45evXph8+bNGDBgAFJTU71Rqt+pzHva\nG2+8gVmzZuHHH3/E9OnT8dJLL3m6TLqFmvgcVa8DqaysLOzcuRNJSUlYsmQJtm3b5jahb0REBAwG\nAxwOBwDnC1pSUuI2eqAuq2j7LRYLVqxYcdPjZDKZJ8usVceOHcP27dtdt/94sFzf9wGg4tegvu8H\nDRo0wN/+9jeEhYVBoVAgLi4O2dnZruWNGjVyS/Jzc3Pdkv66rqLt1+v1+PLLL1237XZ7ven9jWw2\nG/bs2YOBAwfetMwf3gf+avvr+3sAcH3S9rCwMMjlcgwbNgw//fSTa7k/7ANV1bBhw798b+Rr5j0V\n9QZw/l3/3//9H86dO4fPP/8carXa02X6pYp6s337dhQWFromZxZFEcnJyfXqCwBfVVFvIiMjoVQq\nERsbCwBISEjAsWPHPF6nP6qoN3q9Hr/99purNwMHDoROp0N+fr7HayV3NfE5ql4HUp9++im++eYb\npKenY+LEiejfvz/eeust13KZTIYePXogIyMDAJCRkYGePXvWm2/3Ktp+hULh+sYYADZu3IhOnTq5\nzatR11mtVsydOxdGoxEWiwVr167Fgw8+6Fpe3/cBoOLXoL7vB7Gxsdi1axcMBoNrtNC9997rWt6o\nUSMolUocOHAAALBhwwb069fPW+XWuIq2X6lUYvny5a4rMK1evbpentpx+vRpNGvWDEql8qZl/vA+\n8FfbX9/fAwCgTZs22LlzJ0wmE0RRxLZt29CuXTvXcn/YB6oqJiYGe/fuhV6vh81mQ0ZGhtt7I18z\n76moNwDw9ttvQ6FQYMWKFbf8u6faUVFvRowYgf/85z/YtGmTa7Typk2bGBh6QEW9ueOOO9CkSRPX\nv4U7duxwO16i2lNRb8LDwxEYGIj9+/cDAA4ePAiVSoWwsDBvlUxlauRz1G1Pt17HpKWlua4y99Zb\nb4nbtm0TRVEUr169Ko4bN04cMmSIOGbMGPHq1aveLLPW/Nn2nzhxQhwxYoQYHx8vjh07VszJyfFm\nmbVi1apV4sMPPywOHDjQNeu/v+0DFb0G9X0/2LhxoxgfHy8+9NBD4syZM0WHwyE+99xz4rFjx0RR\nFMXTp0+LI0eOFIcMGSI+//zzosFg8HLFNaui7d+9e7eYmJgoPvzww+KECRPq3faLoihmZWXddAUw\nf3ofqGj76/t7gCiK4j//+U9x0KBBYkJCgjh16lTRbDb71T5wO7799lsxPj5eHDRokDhv3jxRFP3r\n78aX/VVvzp07J7Zp00Z8+OGHxcTERDExMVFMSkoSHQ6Hl6v2DxX93dyIV9nzrIp689tvv4mPP/64\nGB8fL44cOVI8d+6cN8v1KxX1Jjs7WxwxYoSYkJAgjho1Sjxx4oQ3y/VL/fv3d11lryY/RwmiyNn0\niIiIiIiIiIjIc+r1KXtEREREREREROR7GEgREREREREREZFHMZAiIiIiIiIiIiKPYiBFRERERERE\nREQexUCKiIiIiIiIiIg8ioEUERERERERERF5FAMpIiIiIiIiIiLyKAZSRERERERERETkUQykiIiI\niIiIiIjIoxhIERERERERERGRRzGQIiIiIiIiIiIij2IgRUREREREREREHsVAioiIiIiIiIiIPIqB\nFBEREREREREReRQDKSIiIiIiIiIi8igGUkRERERERERE5FEMpIioTrl8+TK6dOmCtWvX4v7770eP\nHj2wfPlybNmyBQMGDECPHj0wa9YsAEBRURGmTJmC++67D/369cOcOXNgsVgAAKIoYunSpRgyZAi6\ndu2K+++/H8uXL3f9nv79+2PFihUYMmQIunXrhieffBJarRYAoNVq8fTTT6NXr17o378/pk6dCrPZ\n7PkXg4iIiKiSeAxFRL6GgRQR1TklJSU4fvw4tm3bhkWLFmHp0qXIysrCv//9b3z++edYu3YtTpw4\ngdTUVJSUlOC7775Deno6zpw5gwULFgAAMjMzkZGRgVWrVuHnn3/G+++/j6VLl+LixYuu35OVlYXP\nPvsMO3bsgNlsxkcffQQAmD9/Ppo2bYq9e/di06ZNOHHiBNLS0rzyWhARERFVFo+hiMiXMJAiojrp\n6aefhlwux9/+9jcAwOOPP46goCC0bdsWUVFROHfuHHbs2IEpU6ZApVIhLCwMkyZNwtdffw0AiI2N\nxVdffYWoqChcu3YNDocDcrnc9Q0eADz66KOIjIyERqNBXFwczp07BwAICAjAoUOHsGXLFjgcDqSn\np+Oxxx7z+GtAREREVFU8hiIiXyHzdgFERFUlCAJCQ0MBABKJM1fXaDRu61y9ehUAkJCQAFEUIQgC\nAOcwc71eD5lMhrlz52LXrl2Ijo5G+/btIQgCRFF0PUdERITrZ5lMBofDAQCYNm0aPvzwQ3z44YdI\nTU1Ft27d8I9//AN33XVX7W00ERERUTXxGIqIfAkDKSKqk8oPjv5MREQEJBIJduzYAaVSCQAoLS3F\ntWvXEB4ejunTp6OkpAT/+9//oFAoYLFYkJ6eXqnfffLkSYwdOxavvvoqrl27hjlz5mDGjBn4/PPP\nq71dRERERLWJx1BE5Ct4yh4R1Tk3fgP3Z5RKJWJiYjB79mwYjUaYTCa8/fbbmDhxIgDAYDBAoVBA\nEAQUFxdj1qxZEEURVqu1wuf+6KOPMGfOHJSUlCA0NBQBAQGubxuJiIiIfBWPoYjIlzCQIqI654/f\n7P3Z7Q8++AB2ux2DBg1CbGwsioqK8OGHHwIAJk2aBK1Wi169emHIkCEICAhAhw4dcPr06Vs+543+\n8Y9/oLi4GA888AD69OmD4uJi/P3vf6/JTSQiIiKqcTyGIiJfIoiVicmJiIiIiIiIiIhqCEdIERER\nERERERGRR9WZQKq4uBgJCQm4cuXKTcvOnDmDkSNHYvDgwZg0aRLMZrMXKiQiIiLyjqysLMTHx2PQ\noEFYvnz5Tcu1Wi2efPJJDBkyBOPGjYNerwcAWK1WzJo1C8nJyUhISMCuXbs8XToRERH5qToRSB0+\nfBijR4/GuXPnbrn89ddfx+uvv47MzEy0bNkSH330kWcLJCIiIvISnU6HefPmYfXq1cjMzMSBAwew\ne/dut3VmzpyJ4cOHY8uWLUhISMDs2bMBAP/85z9RUFCATZs2YeHChZgyZYo3NoGIiIj8UJ0IpNat\nW4cZM2YgKirqpmU5OTkoLi5G9+7dAQAjRozAli1bPF0iERERkVfs2rULvXv3RmhoKKRSKRITE92O\nhWw2G/bt24f4+HgAQFJSEv773//CZrMhKysL48ePBwC0atUKq1atqtRVuIiIiIiqq04EUnPmzEG3\nbt1ueYCk1WoRHR3tuh0VFQWtVuvJ8oiIiIi85o/HQtHR0cjJyXHdLigogFqthlQqBQBIpVKo1Wro\n9XpcuHAB+/fvxyOPPIJRo0ZBp9P95RWyiIiIiGqKzNsFVJfdbr/pwKn8gIuIiIiovnM4HG7HQqIo\nuh0L3epYSRRFyGQy2O12XL58GRs2bMCpU6fwzDPP4Ntvv4VarfZY/UREROSf6nwg1ahRI7cRUbm5\nuW7fEv6V3FxDbZVFREREdUBkpMbbJVRbw4YNsX//ftftPx4LRUREwGAwwOFwQCKRwG63w2QyISQk\nBA0aNMDgwYMBAK1bt0ajRo3w+++/o0OHDn/5O0VR5EgqIiIiqpZ6EUgplUocOHAA3bt3x4YNG9Cv\nXz9vl0VERETkETExMVi6dCn0ej2Cg4ORkZGB0aNHu5bLZDL06NEDGRkZSEpKQkZGBnr27AmpVIrY\n2FhkZmaiffv2uHTpEq5evYoWLVpU+DsFQUBengGcbsq3CAIQEaFhb3wQseSGlAAAIABJREFUe+O7\n2Bvfxd74rvLeVFedCqRu/CZu/PjxmDRpEtq1a4cPPvgAb7/9NoqLi9G0aVN88MEHXqySiIiIyHOi\noqKQmpqKsWPHwmq1Ii4uDnFxcZg2bRoGDBiA2NhYTJ8+HVOmTMHKlSsRGhrqOlZ67bXX8M477yA+\nPh6CIGDWrFmVPl1PFMEPCD6KvfFd7I3vYm98F3tTfwmiH19KhafsERER+bf6cMqet+h0/Mba1wgC\n0KCBhr3xQeyN72JvfBd747vKe1NddeIqe0REREREREREVH8wkCIiIiIiIiIiIo9iIEVERERERERE\nRB7FQIqIiIiIiIiIiDyKgRQREREREREREXkUAykiIiIiIiIiIvIoBlJERERERERERORRDKSIiIiI\niIiIiMijGEgREREREREREZFHMZAiIiIiIiIiIiKPYiBFREREREREREQexUCKiIiIiIiIiIg8ioEU\nERERERERERF5FAMpIiIiIiIiIiLyKAZSRERERERERETkUQykiIiIiIiIiIjIoxhIEREREdVhWVlZ\niI+Px6BBg7B8+fKblmu1Wjz55JMYMmQIxo0bB71e77a8uLgYDz74IPbv3++pkomIiIgYSBERERHV\nVTqdDvPmzcPq1auRmZmJAwcOYPfu3W7rzJw5E8OHD8eWLVuQkJCA2bNnuy1/5513UFRU5MmyiYiI\niBhIEREREdVVu3btQu/evREaGgqpVIrExERs2bLFtdxms2Hfvn2Ij48HACQlJWHHjh2w2+0AgMzM\nTGg0GrRu3dor9RMREZH/YiBFREREVEdptVpER0e7bkdHRyMnJ8d1u6CgAGq1GlKpFAAglUqh0Wig\n1+tx5coVfP7550hNTYUoih6vnYiIiPybzNsFEBEREdHtcTgcEATBdVsURVf4BAB2u91t+Y3rvPHG\nG/j73/8OhUJxW7/7D09LPqC8J+yN72Fv/n979x0eVZX/cfw9mTRIIT2hGxElNAtFjKsRiQSlBRUE\ndwXc5efuIoJroSxxcQFFBVSaBesKa0EMGqXZQFwQBGVpoUuHhCQzgYQkJJm5vz8CI0NYE4TJXMnn\n9Tw+T+695977nfmacOY755xrXsqNeSk35nWxcvKbKEgtXryYWbNmUVZWRq9evXjwwQfdjh86dIhR\no0ZRWFhISEgIzz33HPXr1/dStCIiIiI1Iy4uzm0x8pycHLcRU5GRkRQUFOB0OvHx8cHhcFBUVERO\nTg579uxh7NixGIbBvn37SEtL48knn+SGG26o1r0jI0Mu+uuRi0O5MS/lxryUG/NSbi5dpi9InV6s\nMz09nZCQEIYMGcKqVatITEx0tZk2bRrdu3dnwIABzJ07l+eff57Jkyd7MWoRERERz0tMTGTGjBnY\nbDZCQ0PJyMhgwIABruO+vr506NCBjIwMUlNTycjIoGPHjlx11VUsW7bM1e6+++5j+PDhdOjQodr3\nzssrQDP9zMViqfjgptyYj3JjXsqNeSk35nU6NxfK9AWpMxfrBFyLdZ5ZkHI6nZw4cQKAkpIS6tSp\n45VYRURERGpSTEwMI0eOZNCgQZSVlZGcnExycjJpaWl06dKFzp07M27cOMaMGcPrr79OWFgYU6ZM\nqXSds6f1VYdhoA8IJqXcmJdyY17KjXkpN5cui2HyVSxnz55NcXExI0aMAOC7777j9ddf54033nC1\nOXDgAP3798dqteJwOHj//fdp3LhxldfOySnwWNwiIiJiftHRmgbwa+Xm6htrs7FYICoqRLkxIeXG\nvJQb81JuzOt0bi6U6Z+yV9VinQCjRo1i4sSJrFixgnHjxjF06NCaDlNERERERERERKrJ9AWpuLg4\nsrOzXdtnL9Zps9n46aef6Ny5MwBdu3YlNzcXu91e47GKiIiIiIiIiEjVTF+QSkxMZPXq1dhsNsrL\ny8nIyCApKcl1PCIigsDAQNcTZn744QeCgoIIDw/3VsgiIiIiIiIiIvILTL+oeXUW65wxYwYTJkyg\npKSEoKAgZsyY4e2wRURERERERETkfzD9ouaepEXNRUREajctav7raZFZ89ECwOal3JiXcmNeyo15\n1ZpFzUVERERERERE5NKigpSIiIiIiIiIiNQoFaRERERERERERKRGqSAlIiIiIiIiIiI1SgUpERER\nEQ9zOp28+eabjBo1isLCQl577TWcTqe3wxIRERHxGl9vByAiIiJyqZs6dSoHDx5kx44dOJ1Ovvzy\nS/Ly8hg9erS3QxMRERHxCo2QEhEREfGw//znP0ydOpWAgABCQ0P517/+xTfffOPtsERERES8RgUp\nEREREQ/z9fXF1/fngemBgYFu2yIiIiK1jXpCIiIiIh7WsGFDPv/8cywWC4WFhbz++us0adLE22GJ\niIiIeI1GSImIiIh42BNPPMF7773Htm3b6NChA99//z1paWneDktERETEazRCSkRERMTDoqOjeeut\ntyguLsbpdBIUFOTtkERERES8SgUpEREREQ+bOXPmOfcPGzbsgq+9ePFiZs2aRVlZGb169eLBBx90\nO56dnc3jjz9OXl4e0dHRPP/880RERJCfn8/YsWM5ePAghmHwl7/8hTvuuOOC4xERERGpDk3ZExER\nEfGwrKws138HDhwgPT2dI0eOXPB1c3NzmTx5MnPnzmXRokWsW7eOVatWubUZP348d911FwsXLqRn\nz5489dRTAEyfPp1WrVrxySef8OabbzJp0iRsNtsFxyQiIiJSHR4fITV37lxSU1MJDg729K1ERERE\nTGnixIlu23a7nccee+yCr7ty5Uo6depEWFgYAL1792bhwoUkJiYCUF5ezpo1a5g+fToAqampTJo0\nCYfDQVJSEq1btwYgKiqKsLAwcnJyiIiIuOC4RERERKri8RFS//3vf0lOTmbcuHFs377d07cTERER\nMb3w8HAOHz58wdfJzs4mNjbWtR0bG0tWVpZrOz8/n+DgYKxWKwBWq5Xg4GBsNhtJSUlERkYCsHDh\nQkpLS2nevPkFxyQiIiJSHR4fITVlyhRsNhvz589n+PDhREVF8fvf/56UlBRX50hERETkUvbKK6+4\nfjYMg61bt7pGNV0Ip9OJxWJxu/aZ/SuHw+F2/PQ5Z7b55JNPmDp1Km+88QY+PtX/rvKsy4oJnM6J\ncmM+yo15KTfmpdyY18XKSY0sah4REcHAgQOJiopi1qxZTJkyhSlTpjB+/Hh+97vf1UQIIiIiIl6z\nb98+t+3GjRszZsyYC75uXFwca9eudW3n5OS4jZiKjIykoKAAp9OJj48PDoeD4uJi6tWrB8Ds2bP5\n4IMP+Ne//kV8fPx53TsyMuSC4xfPUG7MS7kxL+XGvJSbS5fHC1Lbt2/n/fffZ9GiRbRv354JEyaQ\nmJjI1q1b+etf/8ry5cs9HYKIiIiIV02aNMkj101MTGTGjBnYbDZCQ0PJyMhgwIABruO+vr506NCB\njIwMUlNTycjIoGPHjlitVtLT0/n444+ZN2+ea+re+cjLK8AwLuarkQtlsVR8cFNuzEe5MS/lxryU\nG/M6nZsL5fGC1MCBA+nbty/p6ek0bNjQtT8hIYEbb7zR07cXERER8Zr777+/0pS5M7355psXdP2Y\nmBhGjhzJoEGDKCsrIzk5meTkZNLS0ujSpQudO3dm3LhxjBkzhtdff52wsDCmTp0KwIsvvoiPjw9D\nhgzBMAwsFgv//Oc/adu2bbXubRjoA4JJKTfmpdyYl3JjXsrNpctiGJ5N7cmTJ9m8eTPt2rXj2LFj\nrF+/nltuucWTt6y2nJwCb4cgIiIiXhQd7dlpAAsWLPjF43369PHo/T0pN1ffWJuNxQJRUSHKjQkp\nN+al3JiXcmNep3NzoTw+QurVV19l5cqVfPDBB5w4cYIXX3yRnTt38n//93+evrWIG6fTSV5enrfD\nEBETiYyMPK9FnEXO1/8qOBmGwd69e2s2GBERERET8XhBaunSpXz00UcANGjQgA8++IC77777vApS\nixcvZtasWZSVldGrVy8efPBBt+M5OTmkpaWRnZ1N3bp1mTx5stv0QBGAvLw8SqY8Q3hgoLdDERET\nsJeUkPfYaKKjo70ditQCH374IZMmTaK4uNi1LzQ0lDVr1ngxKhERERHv8XhByuFwEHhGASAgIOAX\n11I4W25uLpMnTyY9PZ2QkBCGDBnCqlWrSExMdLUZOXIkt99+O/369eODDz5g8uTJvPjiixf1dcil\nITwwkJigIG+HISImUVx1E5GL4uWXX2b27NnMnj2bhx56iC+//JITJ054OywRERERr/H4PIUrr7yS\np556il27drF7926ee+45mjdvXu3zV65cSadOnQgLC8NqtdK7d28WLlzoOm6329m+fTv9+vUDKobG\nP/LIIxf9dYiIiIj8WvXq1aN9+/YkJCRQWFjI3/72N3744QdvhyUiIiLiNR4vSD355JMcPXqUe+65\nh3vvvZfs7GzS0tKqfX52djaxsbGu7djYWLKyslzbBw4coH79+jzzzDP07t2b4cOH4+fnd1Ffg4iI\niMiF8PX1pbi4mCZNmpCZmQlASUmJl6MSERER8R6PT9mLiIhg2rRpv/p8p9PpNsXPMAysVqtru7y8\nnC1btjBs2DBGjx7Nhx9+yMiRI5kzZ84FxS0iIiJysXTr1o0HHniAqVOncvfdd7N69WqioqK8HZaI\niIiI13i8IJWVlcXcuXOx2WwYZzyrcdKkSdU6Py4ujrVr17q2c3Jy3EZMRUdHU7duXTp37gxAz549\nefrppy9S9CIiIiIX7k9/+hM9evQgJiaGV155hbVr19KzZ09vhyUiIiLiNR6fsve3v/2Nffv20ahR\nI5o0aeL6r7oSExNZvXo1NpuN8vJyMjIySEpKch1v3LgxDRs2ZPny5QAsX76cli1bXuyXISIiIvKr\nPfroo+zfvx+Ali1bMmjQICIiIrwclYiIiIj3eHyE1LFjx3jvvfd+9fkxMTGMHDmSQYMGUVZWRnJy\nMsnJyaSlpdGlSxc6d+7M9OnT+cc//sHUqVMJCgri2WefvYivQEREROTCtG7dmvHjx1NeXk6/fv3o\n06cPYWFh3g5LRERExGs8XpBq1KgRhYWFBAcH/+prpKSkkJKS4rZv4sSJrp/j4+O1ZpSIiIiY1v33\n38/999/Pxo0bSU9Pp2fPnlx//fVMmTLF26GJiIiIeIXHC1L16tWjZ8+etG/fnsDAQNf+CRMmePrW\nIiIiIqYSFRVFdHQ0wcHBHD161NvhiIiIiHiNxwtSTZs2pWnTpp6+jYiIiIhpffrpp3z00Uds376d\n3r1789JLLxEfH+/tsERERES8xuMFqWHDhnHy5En27t1L8+bNKS0tdRspJSIiInKpe/fdd+nfvz+3\n3347/v7+3g5HRERExOs8/pS9jRs30qVLF/785z+TnZ3NLbfcwsaNGz19WxERERHTeO+99+jdu7eK\nUSIiIiKneLwgNXnyZGbPnk1YWBj169dn/PjxWj9KRERERERERKQW83hB6sSJE7Rs2dK13bVrV0pL\nSz19WxGRX23n8WPeDkFEpNoWL15Mjx49SElJYdasWZWOZ2dnM3DgQLp3787gwYOx2WwAlJeXM3bs\nWLp3707Pnj01gl1ERERqlMfXkLJYLBQXF2OxWADIysrC6XR6+rYiF9232Ud45PvVrO3Zx7WvuLyc\n3l8t5drIKJ5tf71r/yf79/LKtq180qUr/lYrADO2bubtnTt48pp29Gzy80L/DsPg5kUZBFp9sZ76\nPbFYwNfiQ9/LLmdw8ysB+OLwQUav+56Xb/gdHaNjXOcfLS7m9i8Wk9ElhYZBQUzc8CP5paVM6dAJ\nwzC4efGn3BLXgAnXtXd7PX9Z9S1XR0Ty1xYVBeOCsjLe3rmdZVmHKSwrA+C6yGj+2iKBpsEh1XqP\nZm7dwgZbHq/deLNr32vbt/L2rh3845p2pDRsxNgf1vJN1hHq+vpiYGDBwg0xMTzcsg3hAQEAlDmd\n/G5RBiG+fvicek8qGEQFBvJuUpdqxXPa4aIT9P7qc1bc3pM6vr/8Z29G5maKHOWManPNOY//48d1\nfJN9hAj/ANJvvc31t+1cBn+7nD9flcANMbF0/2IJf297DTfGxp1X7ADJSxYyqX1HOkRFX1A85yvt\nx4pchfj58UmXFI4UFTF58wa2Hcunfp26jL36Wq6qF3Ze1/yp4DiPrV1N+q1dq31O+r49vLNrJ4Vl\nZTQJDubx1m1JCAtnx7FjDFv9H/JLS3m89dX0jb/8fF+iyG9ebm4ukydPJj09nZCQEIYMGcKqVatI\nTEx0tRk/fjx33XUXvXv35qOPPuKpp55i6tSpzJ07F4CFCxeye/duhg4dyuLFi/Hx8fj3lSIiIiKe\nL0jdd9993H///eTk5PD000+zePFiHnroIU/fVuSiC/XzxzAMTjocBJwqMr25czv20lIKThVwAEod\nDl7dvpW/tmjpKkbtKywgfe9ebmvQiF0Fx92uu+NYPqVOJ5+ndCXI18+1f4vdxsBvl9OlQQMaBwWz\n2W4nOjCQN3ZudytIbbTbiAgIoGFQEACb7XbuaNQYgN0Fxyl3Olmdk83hohM0qFvRxjAMMvPtDLyi\notiVVVzEkJUruD4qhpdv+B2xdepSXF7OtMzN/N/Kb1nQ5Ta32P6XzXYbbcMjADjpcDBu/Q9ssOXx\n+o03kxAWDsAmu43HWrcltellQEVRb8KGH3lozUrm3nwrAJn5dgzD4LPbuhF46j28EJvsNpqFhFZZ\njAJYeTSbPzRrfs5ju48f54vDB1nS9Q7qVWMdmLdvugWA3JISsouLaHPqvTkfPxUc53hZKa1PvX8X\nEs/5ysy3k3b1taQ0bExeSQkPrFrB8JatmdHpRlYezWLkujV80iWlWtc66XAwb89PvLp9K+2ioqod\nw4qsI8zcuoXXb7yZy0NC+ffuXTzy/WoW3taNK+vVY9Ftt3Pz4k9pE3H+761ITcrNzWXs2LHs3buX\nd999l9GjR/PMM88QGRl5QddduXIlnTp1Iiysojjcu3dvFi5c6CpIlZeXs2bNGqZPnw5AamoqkyZN\nwuFwsHz5coYNGwZAs2bNqF+/Pj/++CPt27c/981ERERELiKPF6RSU1Np1KgRy5Ytw+l08uyzz7p9\nayfyWxHiV1GQKSovJ8BqJau4iH//tIuUho3YX1joavfent0E+/rRs3ET177nNm1gcPMrCfCxsiL7\niNt1N9ptNAkKrlTwiQ8Jxcdioai8vKKdLY/+8VcwZ/dONttttD5V3Nhoy3MVgYrKy9ldcJyrIyJd\n144PCeGaiCje2rmDsVdfC8CuguMUOxy0Ca8ocoz9YS03xsQypu21rvvX8fVlZJurCfbzw3byJEG+\nfnyyfy/v/7Sb926pPELJaRhsybcz4PIryCkp5tHvV2OxWJh7c2ciTz1Z037yJIeKTtAqPNztPqPa\nXEOXJZ+x0WajbUQEm+w2mgaHVLsYlVtSQq+vlvKXqxL4eP9eissdPNyqNSkNG596j34ulOWVlDBl\ny0Z+yM3Bx2Lhptj6PN66Lf5WK72+XMqhohNMz9xEuL+/22im9/fsZmbmFiwWC32Xfcm8zl3YX3iC\naZmbOHDiBL4+FrrUb8jfWrXBx2Lh4/17mb/3J+befCsbbHk0CQ4h1L+iqPnWrh2k79tDmdNJ2/AI\nxl59LWH+FaPDdhw7xnObN7CnoIBW4eFcGxF5zmLaueI5cOIE0zI3s7eggDq+Vn5/eXP6X94MgM8P\nHeTTA/toEhTM4kMHeK799fyYl0tmvp0Xr6/8N7mwrIz9hYW0Cqt4317ZvpV2kdHc0aji/+sbY+LI\nKVlDVnERcXXq/mJ+9hUW8MCqb0moF0bDoCBXLqrjaEkxD1yVwOUhoQDc3qgRL2zZSH7pSSICAtlx\nanpl89B61b6miDdMmDCBxMREjhw5QkhICE2bNiUtLY2XX375gq6bnZ1NbGysazs2NpasrCzXdn5+\nPsHBwVhP/T21Wq0EBweTl5dX6dzo6Giys7MvKB4RERGR6vJ4QQqgffv2+rZNfvNC/fwxqCj6hAcE\nMCNzCzdEx5AYE8sWux2AgrJS3t65g/HXtXNNnfry8CHyS0u5r1lz1uXm8ObO7W7X3Wiz0TrcffRL\ndnERz23aQPPQejQPrUeZ08m2Y/k83KoNRY4y3ti5nRc63gBUjP5Jimvg+tnHYiHh1DSqjTYbCWHh\n3BN/OQO++Zq/XJVAZGAgm04VwUL8/Nlgy2OT3cbUjp0qvWYfi4VhCa1c272bXEbvJped8/3Zdfw4\nxeXlWC0W7luxjPjgUKZ3SsTvjKkfG2x51LH6csWp4sJp9fz9CfHz52BRoasglXAeU8G25NspdTio\nY/Xlo8638Z+jWYxa9z2domOp5+/PRruNe+Ivp9Th4K/f/YdrIiJZdNvtlDmdDF+zitd2bOPBhFb8\n89p2PPz9d3ye0r3SPfrHN2Nrvp1w/wAebtWGnJJihq1eyYTr2pMUV5+CslLu/eZr2oRH0LVhI7bm\n213FnE1njBx7MXMza3KO8lrizdSvW5fJmzfw3KYNPN2uI9nFRfzlu2954urr6Fy/AYsO7ufJ9T/Q\np2nl9/zsePYWFvDgdyt5pHUbUptcxsETJxj87XLiQ0K4PjqGLfl2tubn84dmzXm4VRv8fHxof44p\ngGe+p6H+/jQKCuKkw8GSQweYdkbhqtzppNThwGkYVeanrq8vc2/uTHRgHbosWegqmFbH3Ze5T8P7\naO8eLgsJISKgosi5xW6nRb0w13RXEbPav38/06ZNY8GCBfj7+5OWlkaPHj0u+LpOp9Ntqq5hGK7i\nE4DD4ag0ldcwDHx9fSstoWAYRrWn682b/RJlZeVU40+A1CCLBfz8fJUbE1JuzEu5MS/lxrwsFvj9\ng8Mv+DoeL0i1aNGiUkfIarWyefNmT99a5KIKPTVC6kR5GVvsNr4+coh5nZP5qaDANWXvzZ07aBYa\nyk2x9YGK6WjTMzczpcP1+FgsNA+tR97JEvJLT7pGxGyy2zhWVkrXpYsocZRT5nQSHxJKYkwsT17b\nHh+Lhc12O06oGGFSN4heXy1lb2EBDesGse1YPsNbtnZd66rQeq6pghvtNgY2a07T4IqixLt7dvFQ\nQmvXSCSA9Xm5XBEa6opnXW4Of//he8BCueGkrq8vnyV3q/L92WjPw8diYcwP33N1RCQ7jh3jpMPh\nVpDaZLfRMiys0t8Eh2FQ5Ch3jRLbaLNR5Cin69JFZ7T63+tHbc23c3VEpGsNoZti6xPgY2VPQQEJ\nYWHsOH6MtuGRLDy4nxKHgzFtr8FiseDr40Nqk8uYt/cnHqSiCPNLhbDM/Hz+78oWAEQEBJJ+622U\nOZ3sLSzgWGkpDsNwvd4t+Xb6XdbMlYcejZuQW1LCez/t4u2bbqF+3YpRRXc2iefPq74F4K2dO+gY\nFUPn+hUFxtsbNubJ9T/QJvzcBZwz43l9xzY6169P6qmCYaOgIG6Oi+P7nKNcHx1DZr6d3k2bcv0Z\n0z1/yZZ8u2ua4CZ7xQLI155RSNpVcBxfHx+iA+tUea3TbfYVFlBQVkqrc0w/rI5Xt2/lwz0/MeuG\nG137NufbzjmdUcRszv67d/LkyYty3bi4ONauXevazsnJcRv1FBkZSUFBAU6nEx8fHxwOB0VFRdSr\nV4+4uDiOHj1K48YVo0lzc3Pdzq2Kn1+NfK8pv4JyY17KjXkpN+al3Fy6PJ7Zb775xvVzaWkpX3zx\nhRY1l98kf6uVAKuVonIHs7ZtoV98MxoHBXO0uJjC8jJsJ0uYt2c3rybe5Dpn9o5tZBUXMfg/Fb8H\nhmFgoWI0UfuoaPJKSjhUdIIPOydzeUgoJx0OJmz4EcPAbWTSJruNK08VmqKsVm5v2Jh/795Fn6aX\nVRSqTn0g32i3udbSOV5ayv7CAlfhaWCz5jy6djVDmrdgS76de09N5TpeVkaw38/rD7WPinaNEJq0\ncT1Hioqq9f5sstsItPrydLsOJMbE8ocVXzNz6xZGt/15cfCNdts511FanZONBWgbHkFWcRFHS4pd\n70l1ZB7LJ7lBQ9d2mdPJifIy6vhaycy3E+TrS5PgYGbv2MpNcXFuHwwLysrwPbW92W53m054puLy\ncvYWFriKKatzsnlm43+pX6cuDeoGUdfXl6PFxVwRGkqZ08mu48dpHR5O+anRbX9vew1rc3MwgIfX\nfAcYgAUDw7Um2bq8HFeBCSD/VJHrXFPcTsdzenTdD7m5jGxztVub42VlRAfWwTAMth3L5/HWbav1\nfkLFGmanp4UeKjrB5SGhbu/b6qNHaRse4VZwrMomu40rQqu3lteZ8ktP8sSP68gpKeGdm29xrYUG\nFTn781UJ53U9EW+44YYbeOqppyguLubLL7/kvffeuyhLGCQmJjJjxgxsNhuhoaFkZGQwYMAA13Ff\nX186dOhARkYGqampZGRk0LFjR6xWK7fccgvp6em0a9eO3bt3s3//ftq0aVOt+/Z7YCh5eQX6xtpk\nLBaIjAxRbkxIuTEv5ca8lBvzuliTEzxekDr7m7Y//vGP9O3blyFDhnj61iIXXYifH18dOcTuguM8\nf2rKXLCfH2VOJ2/t3EFiTKzrQ/yeggI+2b+XL1O6E3rGgtMPrFzhKkhtsOcR5OvnKrwEWK2MaXsN\nPb9cyleHD9HlVJFloz3PrZDzh2bNGfjtMpoGB9M8NNS11tJmu43up9b42Wi3UfeMa18bGUWToGA+\nO7CffYUFtD016qZJcMU+h2FUmva0/dgxEmOq9235RpuNv7ZI4Hen1l0a3eZahqz8htSml9GiXhiO\nUwup33v5FW7nlTudzNq6hf7xzQgPCODzQwfd3pPq2JZvp/uphdwBlmcdJtTPn+ah9Zize6frvSsu\nL6fhGcUMgK+OHHJNXcvMt9OtYaNz3iPzWD4hfn6uxeOf+HEdo9tcQ9dT7T/Zv5dQf38aBwWzxW7D\n1+JDfHAIW/Lt+Fp8uCK0HhvtNq6qV8+1eDvAtmP5hJ/6/6O43EFvvhWBAAAffUlEQVToGcXBr44c\nIsw/gCbBwf8zntPFmYoRZj//SS8oK+P7nBzuiW/GnsICLFi48jynQd55WTwAgaeKsaeVO51kHNjr\nekJjdW2w2Vz/31XXTwXHGb5mFe0io3i+4w1uBbDCsjL2FRa4fudEzOzhhx/mtddeIzQ0lJdeeomb\nbrqJBx988IKvGxMTw8iRIxk0aBBlZWUkJyeTnJxMWloaXbp0oXPnzowbN44xY8bw+uuvExYWxpQp\nUwD4/e9/z/jx4+nRowcWi4Wnn34aP7+qH2BxmmGgDwgmpdyYl3JjXsqNeSk3l64aH/u2Y8cO8vLy\navq2IhdFqJ8/H+3bw8MtW7sWOQ8+Nc0s48A+5tzU2dX22U3/5e7L4t2KUQCXBYews6BiIeZzrR8V\n5OvH3ZfFM2PrFldBapPdxkMJrV1t4kNCaBcZxdzdO7m1fkWb09PGTo+m2WSvfO37mjVn8uYNBFp9\naRZ6apHoho15c8d2nt64nodbtiHEz4+ckmLm793D9mP51So65JeeZP+JQre1gdpGRNCjcROe3rCe\nd27uzPZj+ZQ4HK6YnIbB3sICXszcjNXi4xrlssluO68pXUeLi8kvLWXhgf3cEteAoyXFzMjcwrCE\nVvhYLG4Lml8XGc1H+/ZwT/zlhPr589qObewrLGRqh04UlpVxqOjEOYs/AJn2ytP5DCr+Zdxgy+PF\nLZu5ql7FwtqZ+fm0ODU1ceMZeWgXGcXUzRvJzLfTMiycZUcOM2HDj7yaeBOxdSAhLIxPD+zj+ugY\nth/L55VtW10Lz1cVT/vIKNL37eXayCiKy8t5Yv06WoeH0yEqmoz9+0gIq34xKqekmNySElqfWgPr\nmohInt20wTVN9NlN/yU6sA63NTh38e5/2Wi3MeiKcz/B8FwKy8oYsWYVneMa8Og5RndtybcTHhBA\ng7q/vKi6iBn4+fkxdOhQhg4detGvnZKSQkqK+xMvJ06c6Po5Li6Ot956q9J5/v7+bu1EREREapLH\nC1KtWrVyTfMwDAOLxcLf/vY3T99WxCNC/PxoWDfIbaHlYD8/LEC3ho1cxYzPDx0kMz+fyR2ur3SN\ny0JCWHroIFBRfDnXwtJ3No3n7Z07+Db7CC3qhXG0uLjSVLeBV1zJAytX/FyAstmIDAh0rU105jpR\np91avwEzt25xG30UYLUy+8abmJG5hTu//hyHYRBotdIuMpo3fpdEy1PFoemZmzlUdIJn21d+TZvs\nNgKsVq46q2AzvGVr7vz6C+bv/QnHqemKv/9mGQ7DoMRRMVqpR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# take a look at traceplot for some model parameters\n", "# (with some burn-in and thinning)\n", "pm.plots.traceplot(tr[5::50], ['p', 'sd', 'means']);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[]], dtype=object)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Autocorrelation plots to examine for MCMC convergence\n", "pm.autocorrplot(tr, varnames=['sd'])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "pm.autocorrplot(tr[], varnames=['sd'])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda env:pymc3]", "language": "python", "name": "conda-env-pymc3-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 1 }