{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "from collections import defaultdict\n", "import json\n", "\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "\n", "from matplotlib import rcParams\n", "import matplotlib.cm as cm\n", "import matplotlib as mpl\n", "\n", "#colorbrewer2 Dark2 qualitative color table\n", "dark2_colors = [(0.10588235294117647, 0.6196078431372549, 0.4666666666666667),\n", " (0.8509803921568627, 0.37254901960784315, 0.00784313725490196),\n", " (0.4588235294117647, 0.4392156862745098, 0.7019607843137254),\n", " (0.9058823529411765, 0.1607843137254902, 0.5411764705882353),\n", " (0.4, 0.6509803921568628, 0.11764705882352941),\n", " (0.9019607843137255, 0.6705882352941176, 0.00784313725490196),\n", " (0.6509803921568628, 0.4627450980392157, 0.11372549019607843)]\n", "\n", "rcParams['figure.figsize'] = (10, 6)\n", "rcParams['figure.dpi'] = 150\n", "rcParams['axes.color_cycle'] = dark2_colors\n", "rcParams['lines.linewidth'] = 2\n", "rcParams['axes.facecolor'] = 'white'\n", "rcParams['font.size'] = 14\n", "rcParams['patch.edgecolor'] = 'white'\n", "rcParams['patch.facecolor'] = dark2_colors[0]\n", "rcParams['font.family'] = 'StixGeneral'\n", "\n", "\n", "def remove_border(axes=None, top=False, right=False, left=True, bottom=True):\n", " \"\"\"\n", " Minimize chartjunk by stripping out unnecesasry plot borders and axis ticks\n", " \n", " The top/right/left/bottom keywords toggle whether the corresponding plot border is drawn\n", " \"\"\"\n", " ax = axes or plt.gca()\n", " ax.spines['top'].set_visible(top)\n", " ax.spines['right'].set_visible(right)\n", " ax.spines['left'].set_visible(left)\n", " ax.spines['bottom'].set_visible(bottom)\n", " \n", " #turn off all ticks\n", " ax.yaxis.set_ticks_position('none')\n", " ax.xaxis.set_ticks_position('none')\n", " \n", " #now re-enable visibles\n", " if top:\n", " ax.xaxis.tick_top()\n", " if bottom:\n", " ax.xaxis.tick_bottom()\n", " if left:\n", " ax.yaxis.tick_left()\n", " if right:\n", " ax.yaxis.tick_right()\n", " \n", "pd.set_option('display.width', 500)\n", "pd.set_option('display.max_columns', 100)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Gibbs Sampling Example\n", "\n", "Imagine your posterior distribution has the following form:\n", "\n", "$$ f(x, y \\mid data) = (1/C)*e^{-\\frac{(x^2*y^2+x^2+y^2-8x-8y)}{2}} $$\n", "\n", "As is typical in Bayesian inference, you don't know what C (the normalizing constant) is, so you can't sample from this distribution using conventional methods. However, MCMC techniques allow us to sample from probability distributions without knowing this constant, and we will use one particular MCMC technique, Gibbs sampling, to do this here.\n", "\n", "Gibbs sampling allows you to sample from a probability distribution by iteratively sampling from its **conditional** distributions. This strategy is very useful in problems where each unknown would have a very simple distribution if we knew all of the other unknowns. In this problem, the posterior distribution $f(x, y \\mid data)$ is over two unknowns, $x$ and $y$. To perform Gibbs sampling, we sample from the distribution of $x$ holding $y$ constant at its current value, then sample from the distribution of $y$ holding $x$ constant at its current value. As it turns out, even though $f(x, y \\mid data)$ is incredibly ugly, the conditional distributions are relatively simple.\n", "\n", "After some simplification (completing the square and throwing all factors that do not involve $x$ into $g(y)$ for the first equation, and vice versa for the second), we find that the conditional distributions have a relatively simple form.\n", "\n", "$$ p(x \\mid y, data) = g(y) e^{-\\left(x-\\frac{4}{(1+y^2)}\\right)^{2}\\frac{(1+y^2)}{2}} $$\n", "\n", "and\n", "\n", "$$ p(y \\mid x, data) = g(x) e^{-\\left(y-\\frac{4}{(1+x^2)}\\right)^{2}\\frac{(1+x^2)}{2}} $$\n", "\n", "What are these distributions? They are in fact normals. Writing this in distributional notation,\n", "\n", "$$ x \\mid y, data \\sim N\\left(\\frac{4}{1+y^2}, \\sqrt{\\frac{1}{1+y^2}}\\right) $$\n", "\n", "and similarly\n", "\n", "$$ y \\mid x, data \\sim N\\left(\\frac{4}{1+x^2}, \\sqrt{\\frac{1}{1+x^2}}\\right) $$.\n", "\n", "We know how to draw from normal distributions, so if we iterate back and forth, we should be able to sample from $f(x, y \\mid data)$!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "f= lambda x,y: np.exp(-(x*x*y*y+x*x+y*y-8*x-8*y)/2.)\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's make a contour plot of the posterior density." ] }, { "cell_type": "code", "collapsed": false, "input": [ "xx=np.linspace(-1,8,100)\n", "yy=np.linspace(-1,8,100)\n", "xg,yg = np.meshgrid(xx,yy)\n", "z=f(xg.ravel(),yg.ravel())\n", "z2 = z.reshape(xg.shape)\n", "z2\n", "plt.contourf(xg,yg,z2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 31, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's run the sampler, by iteratively drawing from the conditional distribution of $x$ and $y$ given the other." ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 40000\n", "x=np.zeros(N+1)\n", "y=np.zeros(N+1)\n", "#Initialize x and y.\n", "x[0]=1.\n", "y[0]=6.\n", "sig = lambda z,i: np.sqrt(1./(1.+z[i]*z[i]))\n", "mu = lambda z,i: 4./(1.+z[i]*z[i])\n", "\n", "for i in range(1,N,2):\n", " sig_x = sig(y,i-1)\n", " mu_x = mu(y,i-1)\n", " x[i] = np.random.normal(mu_x, sig_x)\n", " y[i] = y[i-1]\n", " \n", " sig_y = sig(x, i)\n", " mu_y = mu(x, i)\n", " y[i+1] = np.random.normal(mu_y, sig_y)\n", " x[i+1] = x[i]\n", " \n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To assess how the sampler is exploring the space, we can plot a **traceplot** for each dimension. A traceplot plots the value of each sample against the iteration number and gives a sense of how well the sampler is exploring the space." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def traceplot(z):\n", " plt.plot(range(len(z)),z,'.')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "traceplot(x)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hxMdG4rPPbgq8JwmvHYs/H0oZ4OuMW1l4Xx2bmxEYLF7JvHUpoukm5/dyE3Hk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G31GCoEkGrsA3r5I4XT7FfstIS+L3CQeKeTRyaFtK/AzfwawvMlYiyG6D79SJ4avfSUtvAHA4\nrrpPrDXKz7I4fHqe5VJpPLnSFYnW8hu/2XdcIhdQvwfv7Ul9zv1rwZJHEo+/GJm+fmZuVyfwibdy\nZRDhybJItpaB0DIu8o6clNCuegPgF2W2DDwA6A4zMcFjPR76XS1Hiz6P9Xd022RO8r7M4uxaZFfv\nsfxbDyy9Euv3bP/1EmKVOoBc5d7KLGSXaNKCWb9nO07omglj6jivPGN+vsepA6cr17Nrs1NZiyT0\n5wrYuuQy/OTwL7GqFQYUSI0uyQ7j4rFcyJUnooRA2DUs4RWeGn3pPAoZN5wxG/iEPjlc15/rcj4z\noTxoDTTd61yjUVzZB8uTXi6bhFE1z2FwZDMKgT888AtlfFkZkhLy0TXOdOgHaPJwdM1LwA5jsPBm\nsWV8CWfCx3UAmiG2/cUJLBreiJO33Rg7RC25h4W9zfpnz116SxTafP7IAewvTuBIpYRivYaJmsvb\nOPPE0/D06g3RfBOeXi4InVR9nRnF726JKSbxEgE/l03S1Iv1KhYNb3Q4m/zs8WoZhytFDOS6WhmD\nzY2VQwsSIvBxjAZHNkc0gHQqxIHSREecLgnBWlmbAl1TUa/XbCqMpC6kj4r1Km5f9IGOsnwlM1kL\nYx5HAprCyWGMV0tmHctOxCV1WFlnJ/rCxb7wGeCGbq2MOt3+8nQtxjViDC9b57RL3pVpIywiq/d2\n7nNL5FukXEZVFizgFgkXfp7UI5TDXeaAlpjQxpdPhglwx0iHRaXvfkryM7Xp6WgsdE1DFtEVNAAn\n25Tnhq9GrE+UWfYB3X4Od8qal+f4si618TW6bJ1ZE1dzna16sbwvH65MRSFK5nXqcwZwC8Yv6O5/\nTVp1s8UxNcCWv+mdsSr33Zl4Ie5OYq8yEF8a/CDes+DNyKXS+NaKj2FXK1VZeEai1Ks3PJkggMt7\nqU/XIw5PO9LtbHgT+iCVhesjNDOknbwQLNJoEAQx8u1swERuhlWcFWi+f81zO5CCsLwZ8gGaS7lc\nNp0pxP1RpFIp+TDtKOYz4TUfNomVMscEhytFLBrem8oKsQAAIABJREFUGFusltyIPJf/rUBkfuY0\n6DR1oHlI6I1fz6OkG/GWc9Y6z2btIT3ffnjgZ9HnJI1bjF3mU8l82/3+P43WhOa0+ciu0p8iHSPz\nVR8O0s7T7r0pOjh1ajmnqQMuZ1M/G2gSldlLyLpUrL+muV6Ay5kbr5a8FQc02hWCBtzUf2u99mcL\npoH1ETL82imgy0VGwJcGOVC0gSbw6bQlSXnwO8nzkz7D+ni+/Zp5pZq3CcTnkBg+PP+0/IZulz5M\nRddNLvTcZm2gMB+Y9w5eG0DzYr9oeKPDq9JgQ6RU90cgBrJdznMZc7IFZ4ysag167h6uTDlzdsfy\n9ejL5mOyF4wDpQmTz/ki9SMbaboPLf4n0HSwiNEkbeVkiLNaAr6WIa/nwof+4au459zLYtI5OiFA\nV2oBgBy1gSWmLLBBJ+FeOS98FR7eSBzTEKT1KO1CbJfim6QcbiGJQ7ZX6cPMVq15NrwJHaYRtKuN\n5wvPWin/8k7azasxumxdVLBWQlSdxsk7CVP5avhxbF67u9ltDDRDTDsvug6XfOtu511Gl61zeHRJ\nhcjb8XleGj8U8ZU4/Z85CaMXXOMNYwhf7XBpKgr7WvNAh1+SlMQttXErJCGq14J5uW5kw7Ajvo/A\nN666ogMQL85taVxZsMIFgqHBNVj+pnfGJB94fCVk4tsXNPfOFxbRBZN9shYc0u+EgqDnrU7Bb1dM\n+Acvv9CWFwr4C34zf5Kh9zagM9kVgVWjkdGpzA/QHJOxcjFa+8wzvWDHnThcmXLmmq9upLXnWJI/\n/Nx2e7jvWT7ZF5ZdscJXAq62YoWRhSPH48cVDpLayOHeUVUjMYnT3K5vrMLo7aDbxnsq0330cy1+\nrbUv6lrEgqR6oe1qvjJ84X7BrxUHzHpUOwMESNY38SHJ8AJmFoKPi9RO+NEqcG0ZV9ZBmoR2Gjya\nZKr9KMxVOFwuxmLo179rCf70/1wSvYN12HYC3wasC6JbRGKrf3WZCWCmX3Uf8qGmNwpLv4n5PMIF\nEr0onSygRRsBV1NIMnH5t7TrXFcr0Fyyl6fGvFyTeblu/HDNzeZc9HExgJkDV5PwrfdJQif8rXZc\nGoFwepgU3s6wbJdUAcwUQtaQMdEaQJYR4TO0NJfJSjpgJJHgB0c24xfjh1Bs1GMk6STD1IJPa0kn\nvAD2HLRKovFepPkxB4rjZlk1OTDbXfIEFhfL4ph1MketsjnikdeHtzznPSOfi7zNhTCDcr0WS2TS\nSEp+8I2j7BE+6IQA+S7vBZ3qtHGBaotE325srH0wF6ZRnZ6GFMe2zjMLllGvLwkHShOxS761z/jW\ngWX0ArZGHq/febludGUyieMC+HnLhTCDn1z+P/734oCVSiWMjcVr3vmgXd/dBofplh88gu5MDlc9\ncZ83HKORZHwBMy52HxeJOWmffGoEp9z7KZy87Uacdu9N+NdX9zkuZy46q9+NwzA6nd2C9IevdI5O\nEWa+grhT5TcsAuPnf/h49N86PVmg+9bqaytte3TZOvxwzc1Om5mzESBwXM/8u/r3AgA7LmxmgwqE\nW5HE0+Owr3B9OBQqbnbRi2I0AJNPxG50Vma3wsDM4xPeAWOs4hoOOtV8urXYrbARF5nmtrPcg67I\nMNtKAPw+n/nd5dF/89rQukYcTuHAm4ThpD8WD2+K/o15Mprb6KtaIdj9vo/F/k54by8q42t+vsf0\n4PCWur804d1H2im0S7gjDAIM5Loj3bKzhz+Hn44diMLntz3zqJeLpdXKLcjeoflneg4XwgxW79zi\nyBGINI3AkmbQRai5cLn+dynZ4ysIzbB4thbHrBPotcZ6aT79PQ71F+tVRyfOxx3Uha8Z6/ZsNyUu\nDpZcw0FrVT21ekOMgzZ6wTUYWbYOKTS9o5c/vs3Zcy1JCaCp9C96X9Y5pHlWmnOWC9MRJ5L7Ix+m\nW5xLv/GldTf1OGoK0f6W8QW4HGMrJM0hYotzyvNPaCtagoLxankyRnuwoMP9glTQyQx/fXjDDLBG\no4F7770Xv/Vbv4VnnnnG/IxsxKds+5Q5uQZHNpvWKhNuhYNj1VPkZ8giySUQuAXCX1nYO4DpxsyE\nlI1h9CfPRgdjrTGNFY/d5eVFaTAhMMnI6QSWVtSZJ56GvRRT13UQNf6ajEBeBIfLRacWphb8kz8v\nHt4UkR8ZAYAF3TM6N/J+ulwOLxrWLMukQszLdSNEk8T8rRUfw+nzFjhig1K+w1d+CrAJx2zkt7vL\nJGlMsVio5j/wM7m/NLg2H4CYkSzhVC2OyO/BQoPz8z3OrVlfYGRuJ803/jcGl65hnp7uw+Nam+b8\nfA/+cfUG9GaaZH8RwWSRVIEcFswZa6ARHf4+SPkS5ujkw3TkedIJGVqLTRAo80HmehJB2oIYpo1G\nw9Ete2H8VedzopunL3iDI5tx1vBG7FMiu6PL1qE7dBN0AHdevEye4ADNDF4xMviCKb8r+oKckCSa\nYjzHGftbfCGrHJNweUaXrcP8fI/ZP1a7Xxo/1HYddgLLiBXOr4x50hFqXYi1uOmO5etjv8FVNqQf\n5VLCZb6qrXJcA7kuLH34DtSmpyONSzFyxJgSjTGZh0lJLrxeWTdxx/L1OHnbjVhEkiC5MI1uRWa3\nhKSB5lgX21x+WHdzpZFhnVRHeeXOoUhXkPcC5mILX7U329xDSvUqljz0BUeDzCrft2h4Iy7ZdY/z\nvNFl69rqu1nIh+lIOPlow5+KM0scOHAAS5YswYc+9KGYCrzA8koJ4W1ursvJFmTwIWUJpAUI8Pb7\nP2PKVlQarkq6BZngz/zRTebGUFW/sePC9ejN5mNSApKWL23qSjfTcQF/nS2g6aWweAUa4rECmpOZ\n084lnNDO83fNnu141/yFWNg7gEKYjn6vWK9G2WkCaTP/nRQI1hBvi68dIhDJsXatgs7cnEu+dTce\nu+jamAEHuJu5Tid+7KJrcfbIpuiQ0305p+VqzgYp9Oe6UJ2uOxpMVmikO5ONjMRLdt0dkzPQ4eLX\nc7hsOWdtrP+4X4G4QahlWxgyt5kXctbwRic06ZszSTURWVJB8zP0YX3hI3fGfluUwLX6dxKEMwY0\nD1wtAwC4UgKFdCbaFx676NooHBUAyAYhyrSueX02+6sShWOSLlhimCatOfZQymcl29bicoo3RO8d\nPt4lh56SDo3+XNMgfef2v4g+J+v2sYuujfYzHc7T/84JHjIvn/3gp029PulTbvei4Y2R7lYn2eYy\nvxliiAu4LXovBma0tZiWIR5yhjbgF/YOYGTZOqzeOeTQPY5rlXuarFWaVTda8j+pVAr1xjQOlCai\nvfUXU0ei7/loKHwZ3jc15iQXAc2L1OIHN5mcMgDR3qRxuFI0Q2sis3DX4BqHgyj7hXUeDY5sjv0+\nozpdN4XFGTrywHPE2scamKmfzKr88s6M7+37CXKtdR0A+ONvfwVh69Lh40paCJF6TYbba8EbzgFL\npVJ4/PHHce6557oPCgL89gO3JcamOxWOfK0YyHbhUMUlSurYNIvbdaezKNaqjrX+tSVX4JyFb43V\nnkva+DQ3BJjhfVi1wnyLVBN+5bO8WJIERvXvJ3FPuM1MyC1kstHBi0bD0RzjA1L/tvAbLK0VSw9L\n2skcCeFw6D4QiDYUb1BaLwpAjDSaJDrYST9qaG00RgpNxWrelK3f7KQmo9VmvYZ8+juWEKj+riaN\nA/EaqZr0v3b31hivkHmNvNm348MJhMvGBpSPs6hFGPlZWuQRaHos+nKF2AVAayz5kJSMovmQgF+n\nygdeh765KRw2IUBngzCmBcjcq5cnjziCk7peKvPjNI8vicgv3KS/NhKltHFmCS5bfasNKcDmSrXT\njuxkXQEuN1A/h9f1nGwB3ekMfm7MKcA9W0r1GiytR4Zv3r5e8GVJz3WBpR/Gwroyv2azNwokSYov\nukB83QHJItK+fXBwdDMqrVJ0Z8w9CS+MvYoJQ1C3J8xiot65R0vm56+VDpi26vnvpLzBQLYLAZqH\nuUaApgGkU3M7CRtImrGELuTWwuG8wZHNkQyFSA/wYT8/34Nbf/CIEwK1uEQawy3PCoeAuAyJ70Yg\nEJezZXiMVUpOODag4EohzGDv6rj4ra77p3Vvcqm0YzByyI/5VFpzjENWWg5DuCQShinVq1i5c8hx\neetbbjaVjoXrfMYXpxxbf8fcAebW6T/7QjHyd5qbYPHlJPSgOT3CBbEI5PLvXFfN0siTNltyBLKG\nZEw53FVQ/BPuF9kYdc/+YuqIt++kDVpPx+IVMq9RS18IB0Y0AkU+hkOE4qXh8MeqnUNmWJVT0JPS\n94EZfpik7XNYfKxawoGEWzPLMPiQDcPYAa+5UMJ78SEXZqLxt27l7KFbu3sr6upSZKXvc9IAh9Ek\nzNUVunVg+R0saR2BhNNEbshnWGVToRPK98Eqv7V39Qbc8NRwRGHRPDcOBzKEq5VvvVupXsOSh74Q\nC8nzu6/cOYSTqcawlrbxGV/AjKbYEx/4REzr0ULO0Lx6Pbj67YtjZXtO7O5HqV519pPBkc3OBSDT\nKs/H/X5AhaGTwGtu7+oNeO7SW9CXzUd7oqxzHSrW3DE5m+Xzml4jlKFnL/k03rvwdHSlM/hfB39h\nGl8AMFGvYH6+B3tJF9HHuZQa1MdCB+yYesDe9rVbYha0dROypBayqRCPLv8oTp+3AEC8/ElSar+U\n4cmFaRypFGMp9GLh+yqyC+ZkC6hO1zuKDefDdBRS0bdvyXQDZm4fvtsJ4M849CkFs1SHVstmrwaH\n74q1avRbs0lB5n7XtztfWrPvfbrSGUy1DDKdXt0OfGOS8OKO5etnnX3F84pvgeLNANxSO4fKU85N\nkSURRG0/GzRLP40oL6CAx8uXDp1UDke72AthBoV0JrGKhC+T0Afr5q7HUZdr0TfW2WTdao/A3tUb\nnLnWl86jEcTD4d1hFl2ZbGSUuJ7CW513trIw9c1b5AR0BQc9Tk1Ph1sAfS957QC/Uj1gZwEzJLtZ\n73N96Tz+9Y9vBeDPEkzyvE+1OH0+dX0ASAcBvnnRdVi646+cv+/N5FCbriMMwujgCwAsMOQ23nLv\nnzt6fpK1+8mnRqJqDr8972RsOedSrHj0LlNqx5LiELDHaW6uEBlHKQTeSxv3bVJGKstDWIr/sncf\nIMI577M6+9vag/Re2gn0nOMzB3AzeK3ogqW2L/82Wa1EkSD5Oy6NJP3Sp7IHrRJUPkV/X3a/bouM\nja+U02wjF7I/+qJF/Ls+9YY3CsfUA1YyCH4T1bLDW+EsFFH13rt6A56//LOR8QUgdhv3oTedQ4My\nPZL0i9p1s0VezBg0z9Fl6yKV9QBwyLJAMzvj5G034oIdd+Ib770aYRAgHYaoe8Q5fTcPy/gCXMFH\n9ipxQVktYMjFc32KyIBLAL1k192RSv3Q4JrYgSq3oXyYdn7TxxOYovnxoX/4qik0KTei4/NuIXce\nO+G6cPaVFG39aZvsK55X4p3h7E4mox8k4wto3hS5zdXpOqZbHgnOKGOifG86h7/8f3dFnDafuKbO\nWktKAinWq44nwPISj1dLCGB7pS1YCSQTasNbv2d7oujn82MHYtl1PrBHQBT83X9Pm+tisl7B/tJE\nxDtj4dDpaZfLaVVIGFm2zlnRDQD/2TK+gBmOjHyHPUx6/7jwkTsdjptPqR6YyRjNBWFsR2HiOycf\nAMB4beaQ5P4YXbbOTEDQnveG+q5Foq41GjHjq/k+5agCg6CBuOcUAApZdwzl77maw/f2/QTX7vlG\n5GXji83e1Rui/UWPey6VdopDj9G81MaXXgfsyV647UYzHDy/0GsmqWhvDoP7gDOnfRmg1tgCzcuk\nBeFDcTUPzf/USWsMnxiuZGd+SxUUH73gGif5B2jKakyr83S8Vo4Jo+ri2EKa5yQ83xnHyWH6M5yc\nMJvQqOyPRzw0EZ30cDRxTA2wV//+uxh76HuY2vE0yj9+EcBMZ/gmyjSAZTu+mJjJNTiyGTlPvst4\nzRYsZQjxWWdGWdC/9bfLPuxITYghIodsw/iO4Eev/hxf/NETTublouGNOPNv/zIWrkxCIeXmUjB5\nWh/U/Gd+3y+LYdPSUdJZp1aG5H9OHIxuteu/+/XY2Ijr+zsf+DOnvE7D0yM5WmCHK8VogfSE2WgT\nlvBGMSGeL+MJuJmDs1mkgyObcfnj2zAn1xXL7vT9jk5nPlwpmm/KqdHjtbLT38LFYrASP0umtFM3\nl2d/4eyLnfAJ/7uknlshf4aVQMLvJht3Unp4J/dILjEiGK+VccGOO535uuWctYlq8nruvjw1FuPY\nyEbLffmHu/4mxj3hQ1ve08q604e7j9vF46hLqjy56nonu9CSImE0gOgQkzZJmM7aK2U9aKV+yVid\nLfk4TEjV59CvbrcYALrczA8P/Mw5sC1DUv9WebqGD/3DV6P5x3scj8nosnXRnnRSV3NNSyjypwbX\nTPAK7XkD2a7oUqZDrdb3dea0/hwbMCzDIGO/Z9UNMcNMvH2Lhjc6XtPjC72xz9UbdtIUV1fhEHi2\ndZYs7B2ILoPFehX7Jo/E5sZkrekl4xmgyzAB8TFm8Bq0IPaBT/qkE2knH6xqFeUfv4ipHU/j7P95\nBLfeeutr/u1OcUxDkL5i3J3AUrwW12RS6DAfppEJwqjSfQ4plJV8qfyWFQZolxhghQE7TWH9zd7j\n8OhF6/GO7bd5P5PUNgs6VGQpFVvV3+U5ui/5XVgkU5NLdT/odjD5lb939dsX4+5/e6rtewFN1zXX\nShTMy3Vjqlo21eiTKgdIGERKAzG52ydIOhtXdz5MI5NKx8QNOxHelPd69KKPOmFULirdm8lHobEk\nSAhFSNLdrfCjDhP6ip7r0JnVfl+ImfsuSV29XQFwq28kjG+1u1PBWFaMt0pEjS5bhwXd/bGMSyZ9\nj1VK0ffm5bpRb0xHIae+TA6vtMLDEvZl4juHiTsRava9b1KIGmiuYyba+4qOA3EFf0EGgPa5f23J\nFfjk0yM4ODXh7Ksid8FzlcNX0t4j5aKz/83LdaNUqzj7kiQZsWioFT5ihX1JENGCsoJ2dBMGhzd5\n/ekwmh6XFAI06LopoS0ONXZC99Di3Fqd34Il/Cqw6AHWmtXvI6r0HGoF3DPypK5+7GvV55X3XTy8\nyRsG5n3Rt/9we31izrMZTwvzct24+9w/xvo9253Eoucu/cz/PiHI6dat9Wg0+EBpwgldieU7OLI5\nseO3L70qqoHXnc7GjK9caqaWnEXeTPrtfJjG2wZOjP29b3HMz/c4FvxfvPsi9OcK3iQCvkEmFe8V\npBA4Yn5AXH+HPRRWmntD/Z68i775P/GBT6BLFaNm6Dp/zvfoRnRPh8YX4NZ9Y7xankSpZXyJOKLo\nzXA4m8HSAFrbBpjxHLLY4uIHN0XPzofptl6jUr2G8WoJ83Ldjrgh3+TyCeMqJG6rBqj0hX6vAMCp\nPXOdvxOP6B/u+htMA1Gb2lV7EIy3vCMCXaMOmJGVAGx9ucUPboo4JeVGPVaMO0k/yMKrrXCIlRov\niTVcZ1V7iQX8/lZ9zot3bcHSh+9AvTGNHcvX4z0jn4sKqMs48PcOliexc8V1UQLEK8TNE28jh7B5\nrxirlPCW+z6Nt31tdvqA7HXwhYe1B1U8YdzWCx+5E5fsuhsT1bIZC7AID598egTP/NFN6M7NhLLF\na8W1BXV1AllTF+xwJUpSQeAkUrAIJ4uGWmFI1v3bX5xwBGV1CH02JxSHN3n9Se1in+4i67EBM96e\nJCFpjcGRzVj68B0o12tRgWjfWcAJbVr4FWiGM63EnqRC4oyxaskRVhXwn3/RMr74fQsJe1ypXsO+\nySNeiYsArvQEh2r5fBxp7XHzct1O/dC+BIrF9e9agjBo+tVfLU9GXlQe46ONN8wA279/P26//XYE\nQYDt27fjxz/+cdvv8CLPBrp0r4tmKG9mqFftHIpCYklYv2d7zO0uvK0UAqRTqehQF85ZUobl0OCa\nqJ3ZVBr/dujltu8pv7Vj+Xpnsl7++DYAiIWHRDCRFePbqYMDMxpdvDnwQSH8E8kYYrE+IH4Isuu4\nVK9FvJr9xYmm+zshbfqvlXHC3CreGDrZCHlj8RmrMnYAouxVyxAWTqGPAD4v1w0gzpXRh0ghzGL5\nm97pbKY6m1TwankyJqgqYaYTCnYIzSckm5SlmUulcUrPXKedA9mu6F3ZUDhUnozmlmST+aB5MouG\nN6JYq+Ir510efYZ5E7potnUAA01j1zLaOoH0tbX+JUtSQtjFehVp4xDwjZfAyqLVRpres+a0tKOs\n7OZD5SlHcLUQZpxxnKxVIk6VFf73gY17KzzMbX15aszh3mhOI++FPvA775saww9efsEJf8p8014S\n7gtrTQFND6MOr1tzo1SvOX1Xna47Ye+YJ1OF0GeDlTuHcFdLd0xr3DElox3ESPQJSbPKvNBQeP8W\n0VxfFYJ0kHL4riL8KuKve1bdgO5MPOvVV9XF4l467xOEiQoEYsyJQZ0LQgxk4zy31TuHvGPSABzR\nYl+G+Jknnob/1nccKtM13PRPD+GpVhi+TrxP3Webf/g46g1XtHjR8MZZS228HrxhBtj8+fNx0003\noV6vY+vWrXjb297W9ju8QCuNmW17TrYQu8UDLmG4gWY2mtVZ3NEvT43jrV+7Be/c/he459zLUAgz\nkLwR65A+sas/Spl9YOmVkSKv4LZnHkUPKX2XyAgRq9uCSF1w207s6o+q2IuatCwUnRpvGTu5BL5G\nsVaNqToDMNO0D1eKWP7Il5xbZSHMxD4nm4DlKdC47ZlHAcxsKidvuxFvv/9WvDR+yCw3ZSGFAN3p\nLAIgMkj1eHB7n1q9oa1Bp/XYgJl5lUulo0xHH1dGkE6lHNmSr59/dZP750lt1mn7LONgweedYjV1\njfJ0LfZ7hypT0WHL3xCvmDVHBJaEAW9WF+/a4nxeDmONfJj2btQRSZuM/YFsV7SOhJQ+NLgmkqjh\n8LbPcGsATsKNzvhkw1QMS41iveoYS6MXXGOqojMq0zWcsu1T0b7EXge9bkT82Ac2/hYNb4z2MUYA\n14vHBoJOsOBQ0eFKMaaC3yk0V3blziGcNbwRAQJvaRiRZdi7ekM01pqHKuKqWhrG8qCMV0tO3+XC\ntNNXjJ5U1uwjje6Un6u0uiV7oiuRsKdcvKw+V4JIeuj3E7AnXkj8DJFjWbt7q7nPHakUMVGd4ZSO\nVUvIp9ORFMRZZFyIcaS9X+yR2/3+P/X2RwBEskRybmnIxUD2rHQYmsT34TaK9SxxI+9llZTSEiks\nuSL9918Nx5SE3ykOV4rmwaQ30awRVtAbD2dArt+zHe867uTEZ/9i6ojjtv6ZKo00esE13skixcKt\nbBZxgXNmHWckXrxrC0r1KvaXmt4lvvlYoVEAkQCdBR8BHAB60rnYgnm1PIl7zr2spcHUPBwaaC40\nPjw7mcTsxtZZYGcNb4zVTROcefypzp9lkUnoamHvQKy2lzYSGLrthTCDwdHNeNf2/wfveOBWXLLr\nHhwpF7FbbqQr4zXQfOTQHcvXO5pXohlkcQjl2dq177v1cXhUw/KutMPhShGLhzchb2Ss+sZTNlgh\nQMd0elpaYhorVegZaHoLd664zjyWpE9YD27reZfhhqeGATTDlQ0AN39/B5679Ba81KqBF/12h/pJ\no8vWOaGLb66YGVdLb0pDqkTMbXlIfdDagbVGoyOtwP+/vW+Pr6o603722fvccyEghaDRlHa0dlr8\n2s5ABdt4odggRIm0VaQ6dnQMUrxUHSxKrc7wjaidMlVLWqRQpXGmJhm5K1Ig7aAjTOu01kH7VaaK\nFhCBkMvJue/vj3PWztprr7Uv5x6yn9/P309OztmXdX3X+z7v8/KelzX+yTpGo4s58NHeox1X3g4v\nlUXHHpsIkdtpqIXH52GzH2kjyC/J2NayRDM6tAOPrCBAraUP7t9iqDUI2NPIMjNkB9NxXbhNFE0Y\nTJt79Hkad7SnnHBQRXwnOjmIBvHs2MGT2edg4ZdkBBWjDuKxoQEtZK5zeKRSWlY4Ae39IqFPEV5s\nuV0zJkn5IHp+02sYvWaxbUPWIrPaomTtpA9b9B5/ONKHqf/2T7p3P8zUP61UFJyEL7yRgISfj/o9\nq2TPlrlhs5l2zfsWlr3y79j9/h9MrilpoU6eVhIRNqU1ogjIRKSVpgnoU7sZMZwFrRjvAXTifyum\ntWDVb3fpNKDstievPAOPfEm0hMj7BmUvvn/RV9AmEBQEsp4rb0Zlnbe40/32/Yu+glt7OjTjVRQK\nI2rorHK4mfYYIVC3blstVFwPKz54JMm0BBQvAWKML4hT8agwo5OGLElIZ13dtMaMiIz/sZozDKRj\nojJPK4MHZAUds27iGj1m44AmNpstUiKdHVFfiEArtdMbc50vhLGBkEHtnKeQLyIrmyU01PlCOBWP\naGOLKMUTDTfS37wKE+VEN/W87DpDDpgfRPu5KvZ0ckC1N4D3Bk+aSu8UErz1kij5E+0rM/2uXfO+\nZfBevXfjwxoJnZcYIAI7/s10rwj8HgXjAmFhlQqzZ7WTeCVKsjCrcMBbo0kiFJBZW0j/kvYnumQi\nD3tAViBLHt3zsmOJt7/RmNP4aRw4cVi3TklqRgaGp/FnNk+JLhcp7UbPfbLW8PTpigmiqfb+N1aO\nHBK+U9T5QhoXRhS6MQNNjqTdwcCwl4dN5X6i6VrdNUKM3hBNiuYJVc7ofASzNq5CtTdgqNru8yh4\nO6t1xOKW3Ru0UIeIGM6D1yPjqy/8GIcjfQbl5fte3WTIBMpnqBBdJJYkunDHWoRkr+Z6nzN5imni\nADmJ8SYc0VoiYTQSr586sRGN6/WLEz0myGn9JHNNchLlnSIX93RkSq8IjK9zaz8CCZKBY0FArsnz\nQGY8jPZam+UZsFISLNgqC7wCvUBmwZ06sZErW8F6RlhPnJXxRZ6V6PWQ7wZlr1ZHkvUOVnn4c5jU\nq6RP1KQyBc/71D17keEzWkduxnMZbtTZ675NAtumAAAgAElEQVSNIRPu2LaWJXiX8pixfCde+NNa\niEYMwt0kp/OArNiStmFx066nNX4WT5Lig2jGA6LCSK5nZWJo4ysg81QL7cHqdz6PrFEF6DWRhPyJ\n9hULdg2nQfiYJGRnRqhmwY4fUkvRbMzH0kmh8UWuydYjJLDj4STrKwteGD2sZMSE2X2RLuoeVnzc\nMHswK0T8LmN81XqDWiFwWneOLdDeum216cqmSB7see8PhnVqIBXHGYEqLr/WTEqJ8ES/8sKPDE6J\nMwJV2vgpJUR1qQuNshlgAVnR4tKHI33wOFyq6nwh3LO3U5fhR3cyEYQjxsv0bNYVK75Ji3/2J2Om\nrmxgmOjel4jiRGxQxxdjhepoHIsOmGrNEIzx6g2bvkTUlHOVMAlDEq0bu78jGy4wXKaFDH5WQJPE\n/ln4ZUXXpnSfksy7qRMbddpnpE/Y9wxl+V802PYbSMR1+mQ0iLte1Oan4kPwycNGuwrosrIOOjCU\n7YLN1tr/tWWmWULAcEiXXagjyTjOXvdt+LLTeMW0Fs2wvWnX0zpDwOyw4gQeSdKMMtZbkZKMLUV4\nPWz/yJJHKDzLFu9ub1pgyP4kCz9b85C9LwGbHcjLMOYJsYrA+05SVfFhdEDbCDtm3WRppPOENlmB\nTlLGyax0Dysqy0PHrL8VEuOtUGVByI6nU1qWHOH52Em2+fpLPxFudv2JqC4j9MUrb3fwxHqIaC12\nQCcBNVSN1XhuVgjKXh0nuDc+xBV/5s3/wWQcczY/oQvNA8Cl//7PuGLz4wjI4vrD5D5sm8seSTtQ\nEy7buGBVpnA4k+1OH8LZw3ZSTQtL/hyLZkKef/H0ch0X0E62dZqjWfZhdADnPfMdyzXYLCM9cxBy\nBsJZLDbKZoBFU0ldGn1/MoYzAlWmLx2Wh08DJ+MRQ4bfjM5HtL+TgcRKDLBuzFAeNbh8HkXHAcql\nUCk7uHsTxsr1uaC9aYHpac6sYHdfIgrF49FS7unBTwQySeyf5buxniH6tz5ZxsIda21rtoi4bzSI\nujibdg9kJATM+iSSTOCpS6/XfUYXay+G45mtrde4fhmGLE5bpLwIu5kTTgWRVln+6makKMOWyB7s\nnncXpk5s1Amksu9tF2YnffrwQsjypDg7azzScgLs4sh6Ttt6OhzPrbaeDl22H5sdqFCGSl88qnv+\nl+cv5WZrAcNZtCGOx56VHZi/XZ+kUKMEDIeWsDfA9SYfjw4aPH5m2ZC98SFc1PWIaUiYrUN41wUz\nhd8F9Jtav2DD5YHn7RWB9eDRiKdTWkYou747hUjuxYx4D2TGMOGIsjIULKplv1bXlK53awXCcWPn\nwfHYoME4Y6tcOAFpZ/pATctGAMOyEHXZdT2mpgx7RTVlnNEeX95zOlGU5623xMtrheWvbuJyr4EM\n383pWr72sutLUguyYkj4JAODt7ARhCyy52geRzSVxHQbtbVob43TkIGVtwzIiNeJwnVrL7teSE6m\nyeVVsrPwbLXixwXjGyy/d0bWxR+WfbrMHdZ4pUGy/8iGwGa1sEWQ2YLIPI/UsegAPvUzvRhtQFZ0\npVIA8xM7e81AVqzRDP2JqGFTGkeRrHP1EpmB1ssC+NpTPLBhAV5bsDymY9EBHIn04fBgxhCnS6Cw\nxgEPuQesgImhGj1ZnrMBEmkWEmaj557dEklWYEsHEdDaZnQftG5vx4WdKxFPJ7nztjNLLmYJ8ry1\ng+2PvmTUUG5M8Xi4VQroMD5dKWF650pMoBTPSTsR1XMzsByqx3670/T7y1/dZPp3ghXTWrifeyBp\nXsawyUFSVCydRT48vajgkMMj3pNwL5HUoLMWzeRSBlNxhL1+LPvP5xGQvdynZYn4dDFs9vsTgtVc\nOgvx1Jo5K3gGGmlnq1acv73dEL4kqFECw0lL2SQdkeEDZKIQTpIMcsXx6KDm1WNhN1GHxlde+FHR\nnxmoIAOsY9ZNprFev0cxNc54cDpdd8+7SycuyoNTrlpfIir0NhGNsrOqxhj+RmegjQtmTs1WuiwE\n/cmYwdXNG5gfZkOmgyl9dgrJhmF/4/PIWvYf2RDYRZ+WivB6ZISzg59sgMKaX0wb8cISTvozk0xh\nje7Zi7gyFJlrWMMvOTPS2DCEXROHeGmcQsWwKC7dHmabWY0SQH2oBqpJmRke6G+zfBc2k22ML6iF\nQ4lYMO0/sioU7rW5dNECwiwOZzWxeBhMxrlj9epstivx3j0z80bNy2jHm856Tn50yUJueIYOCdFQ\nkSmNQ0BEdZ2ujXZwPCqmVNB9fZ/AUJsUrtU8rl6TdZVkmJ617l4tU7ecaN3ejsORPjRv+gFmPPcI\nGrIyOp/62YOm0j+0FIbIa3Pzrmd0/zbTJDsq+Nuued/S6DcisPenhZfpGr28g44K8Vrbl4xqtCHS\nZ2ahXRJ1KlRGogf8qFAaqubVo1HnCxnCuFag9f+KjYoxwIiwqqjjn738JqFVbgeiUxqNhTvWmoqL\nAvbcoXbxwF/PAQCDtALLXyHv7SQMcCw6oFskrTgc9GbTWDMOp2JDBiJ3rS9oegokqcfkffoSUS1x\ngNSaM0s3pkFqU9qFT/LojGM73kmCQaLQnk5q3iIAwuLoNGKqmIMnAl3nkG1jFhL4GVZOjNE0YNDn\nMuuDvmQUhyN9tr1zvGdiw0+sAdQbH9JqvIoI2mZ4vOkaW9+LppJo3vQDAMZCzGYghw0zeehEOoW/\n+cV6HI30Y+bz388pLMR6YFkEZZ+BfM5umidjgzqPnAeSUPlfBLa4PSA20j0WhxsPgB0tt+NUfEgz\nSOweIKKC+TTOH7ZcN3JJ5AKMtXQJCG+MDqkSzqFP8hjC1HbWnOMMT9jMyy4ar7RMkRUIFeC3C5Zr\newpdo3eMn2+AmaFc+cIBWcFeSkfODlSopkYzD4rkKUr0g4eyy1DovgNx5/JScu2iWvHjI6Hqkqax\n2gGp0SdK0V0xrQU3fHK6qUq5E4jat7u5Dde8uMagK0YWALpWXEN1nWldSglAFVVr0C8rWoFpkub8\n1KXX45bdG0z7k6Rsk/qBBJlakvqTDqmZaFZzTAQ6jRsY7hMgU+TYjCuXK8b4gvj9dXr3tqiPa5QA\nFNmj1YIk7ekUEjIbN6nF+OyXb7bFTykESC1JlrQPGNu/WKgP1aB79iLuM7AIKZni704LuOeCbgv5\nFR7YeRxWfHjmS9+w7E+fR8b4QNiQTZ2PFBALtv4hwJ+zIvg9MmKcBCGr9b/aG4AsScK5McYXRFjx\nGt49V4wPVKHGF9D2lICsQFIhTAohuHDCR/Hc7FuG//3cwzjEaE0WCmTNHUomtD4Z4wui1he0VUMW\nyKytrNFYLhApmhnPPWLqdatW/DpnRS7jm/zmtJahYFGs1+xPxoqSxuqUIM+GE4gauShFV+TazxUi\n42vqxEauqGtvfEgznojyMwBTl66K4fCRX1bwk8tuMJT0ad3ejg8ZDx0Lwh0gSvOE95Ip5K1HNJXA\nFZsfd2x8EVczDbqEUl8RjC8g066nGK+n6LTbl4xq/CmvR8451DTGF9KVQBEJBhcDbC1JGjwxZRZO\nOZA8kGL0dt45lkpwa47mghXTWlAfqhFmJFt5wHhgR/lgMm4IbQGZ8U17heLpFHo5nqh8191uSlw6\n7PXprkdkG+zeg2d8AXqvMQ/9iSg3oYOgNz6EvgIZ04S7SB/ofZIifHaCxqqxeOoyffILG/0oJAiB\nnU4OYb16LCTovePFMr4Ix9kJTsYiaBCEPGleJG18kQxwp2zWUnn5ymqAOWkUq6KlZuhubjMdcE7w\nmXFnaYuNU3IfTQStVvz46gs/5qbzE4QUr+2CvDxYFYsGhhXczUCyPM975js41H/SUjaBGKa98SEs\n7unglvTh8Qxog3ZxT4dOeZrwIXhp/TyFcMA87EwSHNjnoonHzgJwzrD05W7t/5u6HtPkTHicDDqM\na5bZKoJP8mBbyxJDCRS7JaEKgSebFnDLdEVthG0GUnxvq13+Ha3KvXXuEmGGIyBW+M8V39m3GQOJ\nGLffArICn0cpCNmX3ShrvAHsmvctw2EplzCpGaq9Adz5q58j7PXjpl1PY4ChJ6SRCZmxeotOIXs8\nljpgJKFDBDPOlF2wxaEJ+pJRS9bph7FBzN70uI5TxraXGaaMPTOXR7YNvyTjZRvl3AqBJNKOIloB\nWUFSFR+xRXy5aCqJr77wY8fvlGs42ynKaoDZbZQaJUMKD+d4EqY1kUTPMM4ftizOCwArZ1ytiTvm\ns4H1J2OWHJtIMuEojZfFnMlTTDksTjGYjGN650ouoZakYHc3t+kI9E9mjUA7HBCaQ/HAX8/JKw4v\nAfi/v35B+PcPs5PfTCCwEC13NyfVv8rrx8rprQCAv9/bpYn30t5DGk64SzwEBItJMU/fLBb3dOCr\nL/xY9xk5neYCDzKJKiIEJQXjA1W64tBEDFaShjPdSA1WUrCYFqnMFyQTl/akkYLE5F6FCnOyh62+\nbNkvL6MzttrGocwJ+hNRXZamSPeM1Vt0iinjzsSLV96u1R1k50Rdtgh6Q3UdFI62GlAYrwYpts6D\nFRuU1GmkvVF2xZwB4LCNw9f5YyZo78/TmANgOICQPSKmptC86QcF2zF8HnGxbpZ28IqJ4QyIs1jt\nwCmXFSj8QUWEigpBitCXjGLfkT9h57w7hd8xO1WdiEUss6qOxwbxjV/81PJ0NmvTv2h6PLlsYE6V\nsbtnL8pJC4wYk1beKqdQAW5B1f5UDICEr7/0E10ocP72TDqv00lwa0+HIwPX7zF62MwSJlQALVue\nxMIda7XPfJJH52mtNxGytQteqr9XklHrzyxM3X98zfT3db6QUKrELvo4IUC2tqMZ7HiawhzRXAKf\nR+bKmkRTSdSHax2Pb1phXYQhNYlj0QFNgBlgivVub8dQMoH6cC1OxiI4GY9odVid1kYUgQ2Xk/qa\n/VnB0oxMjqT9LR98+5XnuaLFbJKIXWkJu2DnnQi5VASgce/nvqyrO1jLbOwn4xGclfUsidaaQhgW\nHgeZwayh4/foi9KbFann4UMbHqMDvUc1DmPP1ffY8jrT67VZDWErsBGHeDrFlVjhwQ43EwDEQebC\nYlSEIJ2gdXs7GqrrIAsmQEQQpgDsc7V640MI2Ewlb9222lQTRgQnJx6SDZmLjgmBnUK2ThCQxXIg\nvKLDpHKAFdg+6mxuc2Tg1vic60aR6gQEYa9eJNXKaC8EEhZZlGsvu14rSeMUxI3upBA4D3YyPVnN\nNhrpdFpn6NJo3bba8fjmhYBEIOFzwJhxRoqU53JCdgoS3vlC16M6cWgyxuyuCiKpi954BJed9QnL\n3+eayCRCzIJ0TiASQqVhZsxdt2OtVsrNSvpAhFw2VZanRBtgVkYlLeoMDHNiCaKpJB6+cJ7tZ7H7\n/KQiwYWdK7mJGWy2Zr4mjQeZskjLX92s+3zFtBbhvM8VziVVKxsjxgADMqd2UcaUSHRTgnm5HhpE\nDPacqrGW3x1KJopewLetpwOf+tmDeOrS6x0TFon2Ex16dSJu6QUwk1nQ6/whTAjW2JbicCJse/9f\nNVNeOy/mbx9WsScp37zQA7lPPhxBEYqViqx4hqcd3Sf/PGO+4buk9FMmBO/MUCH9RCdQAM68X4VA\nrT/ENfj8ngwHKuZQp4eUHrOLMb6gTvCSRimKcI/zh7WyXvkaexFBW3U1txWE41Qs2BKttjhEmZUV\ns0KuFUVYg5UWUnVymAYyhhGZzwRtPR3CxJDS+HqspXCsQA7e7Fxa/uomvNOfu3RUOZEr3ckpRowB\nJgFCGYn2pgXCqaDCfgz4ovqPo2Xrk7ZOV4WQJ7j5/Bm27nPdjrWOs1E6m9vQ1PWY7l1E3Aje6TQB\nI2n1M2c0mNa7JBlfhF+ze95dsHtuu+/VTbhnbyeAzGJNT+a4msbJeATHo4NIp43Xi6aShvqBueBk\nPIItB3+n/duMH5YPaGORaPKcUzUWd2Xfn8ax6ID2TFYli0Qgiz5RpC61HEs8neLWfIylk1qihROQ\n0jRTOh7i6lexkCA58vgVGqQEVzGVtevDtfjPo/9btOvng6DNIuCigzI5YOVTIPn7F30l59/SaN3e\nbloSygpsNqeEzDrDO2CzK92ZRahNWK34UR82Ui0KYRiM9YdL4l0uBkJe3+ldC9IpRNu4BxLuebmr\nIPfoef8PODZUWBe9GdYc2Gv5Hb9HwSfqJlqW1aHhlTy4Zc8Gw0bL424BQCzFX/jY0NDu99/ibqQE\n9726CbEsr4dk29l96vamBZZSIWmo6Evyw4K58HZCis/A+WujZAEK7T7ngWQmnogNCtuKPFM+oWgA\n3ILlpUC/STUIJ4K5LE7EIvggam1YJdMpgzeTiIUWG0SJPxexWSegi8hXGvyyYmsd4I0RcpBrqK7D\nX46dlPMztOUg9yGC0xqHNGjvN5DxPhFum1WWZ6E0zGj0J2OGsVOjBAqSAf5hkSQs7By6rECXnGNB\nZEZGVS1Iq2w9EVnRLsfIDkoRjnCKkOLDax8ecvSbhJrmGpKi9xO50v/Y+wHzPWvP34lYJKdSOxeM\nbyh560eScfz0SzcK/14sr8nlz/+L4TOzcCfJcMslO48Oz+bCWSw2QlCEvM5CoT8ZM3gz08h4eK02\nvXwRSyVxYefKgo1tXlYtYOQbVRJyjRaM84d1silj/PllA+eDjBL/8Dh9smlBTobAjy5ZqFsTv7tv\nMxrXL8NZ6+7VCU6XEuzY8XhKFfx0jvamBRgy4XvbhU8Wr7csZaOYqBgDzMz4CXr05MVioRSK3AR2\n5SHYE1MpcWjQXKGZZPmYnSZCNrkX5TrBs5wMksnz93u7iuax4HnxzDI+50yeAiC3kCipsQroPWiV\nMvGHkMxp3mUEI+1vFDxvZuv29qJveuybOa0dysKqgHY5YUfGxy7YuqwA8L9lrGSy5tKvg+7Nq7e3\nYzAHOY1bdm/QjYnfHX+/4sJ0xaj+USg8uH9L3txc4pUWgSdqXCxUyjpsiqF0MifFaKB0gmpOYcfb\npjCyCE7wsZozcPnZn8zptwRWKdI+OZMUzPLTaKKqXd5SbzyiKxIrUg4vNlb9dhcA4OCp4i32tBeD\n8LLMypEQvkkuIdHW7e2aDAPxoBEZh0pAyJNbWDVDHLZnuAVlL44UIXzjBB5kjEafUlhZmErC1QUo\nbdWerQE7MVSjFfIm4/9PZSR0t25v1402FXqtqBXTWmwlStmlkog0vEY7emNDOJmnTAwJaYtqgB6P\nDeYlgO4EI6aXnSgG08i1dEslIJ+T0dt9H2ItU/bCCe6+YKZBa4fFUUFWEm0s2w3rrm5aoCsSWwoJ\nCMBYYYGQZPPlW5nhnykvhh1uEAnp5hoSJRmxW+cuQX2oBrvmfask/DY7GEznxgFjN0QzDKUStjN3\ni4Fx/jAuOKMhKztRuZmK+aIQ8YPlr27SOJGaZlseYtTFAhERlqWMBMP3/nunrcOyXR2xRAmjMSMJ\nQzZrihKYZb+alY6a0flIUZNmCEaMAZbrhrxpzuKS1bwrBvJZfPKx4v/5tzvxbg5aO0HZq5VXmdLx\nkO3fLerpwBe6HsXhSB8u7FxZso2KFQBMZjWvnmi6tmj3/OrHPqf9v53FhJyac3W9k/qWC3esxUAi\nhis2P152j9BoQVjxYcvcb5ryl8YHqkb0GlUMkLHO07CrBHTMuglTJzbqa9zaWKvtRjScSly44INn\n8JIMajNjuJDccjNUhAFmR6PFjuIyr/bhFZsfF2b/0fDCI3RJlhP5LD75GG9BxedoCbj5/Bmad+Vd\nqjSJXTiRCykmyKSrLSLh91/f/rX2/3Z4TGShyLX0VVtPB/Yd+ZNOCb6cHqHRhMFkHK3bVuOJpmtx\necMnDbQABRI2zVnsiN/HW6dEAq0jDSdigzhr3b3a2kEToguR/VYoEC8/vUkftjjUVCodhkWgMsyC\nvOCFB+GscczDiVjENMLjRDMzH1RES9tJRffZOP0/uH+L4bMTsYgtkm8CaSgFLttTCOSqb+X1ePKS\n1BhMxrmmgYhEvObAXnTPXiSUnpCQOemLzA27JU2Kjfs/11z0e1RRIn8hG2PO65EteWJWmL+9vSKz\nIE93EMJvrT+ItTOvN2QWJ6Fi4Y61mLVxle1rsqETvyRjw5f+tiDPW26wazVNZzhmQ3KkVBhKJhxH\nGIgxXrk5hhlECyJCUV78W/PfGQrRs+g1yRyWVLg6YDSsCrj6PZmFLp9MnP5EtKDFqwuBXOvS/bL1\nnrw9SlWcuphxk7I0xLVLg7Smigw5X8TJy6WUUDGw1oY2W754etY3tP+3Uyrqz5FTebvDO5vbispr\nq3RMCJbHe7Lqoq/qUtp5PL63HWqEsSn0MTXFLTkz0sCLhNCGTiUF5XrjQzq5Hbt4smkBJpVgYx/t\nmL/9R5b8YzPHTH8yOrp0wKxgVSQ7pPjQUF2nqanTcLL4VpoWmJ0aajzYLW5qBp7RO8ZnzlVhDUa6\nNVu3twurzBejlJBTlIpvQqc5F0ttn0aNEsDUiY056YgVG7XeIF7JISPT6THpaJmU8Bcx2duFKG8V\nzUMRvpKhcNqmNz5UkST8XLG4pwN9p3EiRinQ3rTA0nDJdx+32ucKhbwNsPfffx+33nor2tvbccMN\nN+CNN97I6TpWHAbe5KRxMh7BWevuNai/tzctcLT4OqlOXy2bG4UE+fjUqr2BsvrkJjCp1XGL4rsB\nWdHakHeiFU2Lw4Oncnq+QqDOF9L4a7kI8DntH1q2o6G6zpQbYif0bgV/VvogVw5ZISBK0T+VGMLD\n//WC4+tV1jFJDBXQZECAwhjc5fLm5QOvDVkFXqJVJZHwfZJH4wblWn+2e/YinbfTyeyuUSojSlBu\nXDC+Ae/e+HBR77GtpfgHYyBPA0xVVbS0tKC1tRVtbW249957MXfuXKQEpW3MIKnm25jiyS04eGvP\ns7a/W+cLYXvLbba/358q/klm05zFmBgqz4Lb3rQAR5litFbk7WpvANW+jGHKO+2LVM/LGULZ1rJE\np7jtBGf4w5bGgFWSiZlnKp5OaYt+rjw5slG8lweHLF+EFJ9w/m575/Wi3tvuQSkX2DFpaX2sfOU/\nVkxrEXqRyw2zcZ7IkQ5Bk/DLTQ4JewPYceXtuvJITiADht842SlFZdhGG1q3rUZT12NFu36NEih6\n7VaCvAywnTt34sCBA7j44osBAOeffz68Xi+ef/55x9caTPFJ3wTHogOmiusi2HVFepDZiBuq6wo+\n0XM9rYclLxqq63A4klv4JN/3+IhDrkIgW0OLbPQ8lfEp486ydS2/wPNT6L5ZMa0lr7ITduqdsUkm\nVR79tk30uV6Zv5TrDXt0eivqQzXY03qX4/cPU4T/cnqN3hk4Ibx/0StQFLG0ih1TqJryXORb3ur+\nVzeZ1mMtB7zwYHygCh8x8cyRLGmnoItfl+sgSoPUbm2orkPjemccoRTykwYqBspt1OYCCZIh0lVI\n+BWlZHVz85rJe/fuxeTJk6FQ6s7nnnsudu3aldP1rOKuxSruCWRqw12x+XHMeO6RiglvDKq5FyqW\nYNxw6xzGtVmvVI03wA3RkkkcTSVM696tmNZiu56bSCSv0H2z/NVNmho9rbpdLEgAXmq9U/fZwh1r\nNf0znofx1p4ObdF3Kiw8mIpjeudKHOo/6Si8XmiY3bvYvMtSifraQb4cMBWwJavDQ7E22wTSiKYS\neMdEN/CpA3tzJjUTja1cxbgLhZPxCM575jvaOsEmOYkOjTRat63WySWV2wCqlL3OCf4cKQxdRUT9\nOBYdwECJeHp5GWBHjhxBTY3+VFNbW4v33nsvp+tZFZQt9mA9EYuYLiKlpjDn877/mK1pSGNbyxIo\n1OnZ6vpsSOHFK2/nhmjtTuInXt9TVIHTXNDZ3KbTxyo24beruc3gcbPyinRSmb0JE/VmEVRkFn4S\nGqZlMEoBp6H9YoCnEVhorODMOSCTUUWMfFJpgYYdHcRCoJibrZW3QIKEs9bd6+iaJOROeGCVUEXA\nTHTVTFmdoHv2Ijz62g6EZS8kAP/njAbu98ppmPk9ii3O3kiHGZ2mVIZpXq2sKAq8Xv3ikeYsMHZg\ndXqoUQK2Cztbob1pgeMBPsYXxK9KXD+vK7vx2nlWtiPve3WTQUzu6m3tulOb2SCrUQIG2YLWbauz\nIVrzJ5IE/98bG8IXuh41/W0pEfDIqA/XllR1m1fT1Gxj6W5uw9SJjQAydSPjFos8aW+/JGv/T96r\nN5bxnAyk4qjzheBBYQsoi/BPF14lDPOS2n/FRHdzGx59bUde1/B7FG4mNk2Mvp8z54DMPCZGPi8s\nH7Whg0ijkrwWYcl6TfZCykkCJZZOYnygKufkmGIh13WCjJ+DfR9iMFtS511BfUu7fZxLcXcrLqki\neXLm7LlwhrwMsEmTJuHUKb07sLe3F2eeeSb3+33P/4f2X+zNd7XP/ZKMuIXh5pVlrmaS1QbC+/sD\n+zYjlD2BdDe36YwEnuxDjRLA7697oKCLgNUkoDdeq7CT36MYiiuP8QWx48rbdZ85cd36FQVb5y7R\ntc3hSB+2HPwdVzz05vNnAMhsqLShTC8kQ6mEbV0zUVWCQhapjaZTaN22WlcjsdALPWvsswKOZmRS\nIh9BcJDDewgx3iwVGSPs2S/fjJfnL9W9FzE0JWSyWcf4Q6gPF7/oeVvW6Hxm5o2Gv30kVIP9X1sm\nNOnH+ILCv9k5mFR7A6gP1+bFvRrnD2NiqAZpZlPySR5EUsOn6EytxyjqQzVa9rAE4Osv/UQLafC8\nXV3NbagP1djy0q2Y1qIL5+YqU1Mo2KFJhH2BnEOvisdTEBI+nZ2dK7qz/UTmE309Oyr9/ckYWret\n1q2JHknKS3sy6PXpxo2d9TFGZbLzemUwVd5Qby5jWhROFBmoNQKl+9ib72Lg+f9AZOPL6Hv+Pxw/\nh1PktZtdcsklOHjwoO6zt956SyPls6i56iLtP/8nztY+j6kpy9pXHknipnC3bm8Xlg2gjRgaR4f6\ntRPILbs36AyGGEdjpz8Z02L/NO6+YLClWFYAACAASURBVKat0/v4QBXOzH6vSvZhfKAKe1rvMv0N\nvTGaZclJAPa03mXIrpIg5ZVQcMcFl6Khug4vM4ZdW08H1xB+7u3f4JX5SzFn8hQMUid6dmKIJteK\naS3obm7TvDKiBIDaAtfMI+r9uWZBWmHxL/VZuKyuEc+oIuhLRnW8NB6nL6AY21NFxtNG13481H9S\nMzSB4VBKy5YnSxKSPNR/Et/dt9nwOSkULpr9vfEh7t9qlIBhbPLQn4iiddvqnA0ACdD4TYOMpyqu\npg08oPamBQgpPi17WEWmrVVkFttd875l+P7UiY3Y/7VlmDN5imW5muWvbsL2ltswPlCF8YEq7J53\nl23Dwi/JmBQqnsEdFoyj3vhQzu1Pe5q6HHpr6bUvKPu4YXCvzS1wnD+s9RNZJ7a33KYlzwzZNFq6\nZy/S+otIWQTzMKJ740PaAQcAfvDFa7R1lHiXzZwUKRjD8+WuSuJU5y4oKXjmS9/QfVbl8UGWJCiy\nzN0DBwS80OAnzsbrGzbjrK/ORM1VFzl6jlyQlwH2+c9/Hueccw52794NAHjzzTcRiUQwd+7cgjwc\njR9dslC4QfYnotqCRAZTUPbipl1PW5Kqj0UHEKE6fDXnFKpC1TYsGt//3S9sFTVWPB78Ofu9gexE\ntdrs6U3aTDtoddMCLNyxVpgVkmvm0H2vbgLAf06ykevCiwLBRDbOzjNwAeD8sZNwz95OhL1+3LTr\naWEh8EIKttZ4M+nGZ627V/tvy8HfaX+3U6fRDEHZi4DsNRgQT1JjzCrUQPNN2Oc5GY8gIZB8GUom\ncCTSp+O2EUOTvedL8+7kXqOQaN22mmtsdtrYVHm98OJVt9s2mLtnL8pZf4sYUHbx4P4tXG9bUPZi\n7/ylaKiu0zbEoOzFsv98XrdGWYnldmY5hK9dez9qfAHM2rhKK9ZuhWe/fLMwISEXMVyCoOzFK/OX\nYue8O7l9FcxmR1vNJjZJqM4X0vXx1ImNqHKQhMK2Cm+8JJC29ED5JBlb5n7TkKyzcMdaHMkmz9jh\np919wUw0VNdphhuRsmAN+3xwa08Hpk5sxLs3PoxHX9uBgUQM87f/yPQ3y1/dpI3Jcf6wpXOgECgk\nx21ITeqkXgDAqyhaoXTe7Phh0wKuYfrDpgUZbcYSaSbmZYBJkoSNGzfipz/9KX74wx/i4YcfxpYt\nWxAMik9kooa3cjvesnuDkMTZ3dyG1669H69de7/G9SDhrtZtqy1V9GnvWxuHo0MQlL06kVHe5sqC\nlEiiv3csOoCz133b9D70yc9MO2hRTwd3wSeLcj6ZQ4f6TxpCZN3NbZpnhX13Hi+CXdxE7dW6vV1n\nMPC+ZyYZYcXrC8iKgUPolxVD29H9n2uB42rZr4UqePXIbtm9Qft/kSucxrDBZmwVUYmu3viQphdl\nxlnpT0Qxo/MR0/vb4ZmYzV5SD9EwXgQeavY7TjM/2d83VNflrb9lF33xKDeDaiiV0MSGp05sRLXX\nr1ujCGgvJQ837FyvGWxmvDIACHv043dxTwe3HqgieXDti09Zv5wA8XQSF3auxPTOlVjNmYdEy8ts\nrQzKXmxrWaLzDvHEMH3ZfcLpBn4yHsGUjocM0ZJqb8AywtBz9d1oqK4zJOsc7PvQER/vp2/9JwAU\n1eNOH2gOZktcsVnGfs62f8/eTkjIiERPt1gPCoF8eYxsP7LXUzweHbeX9RI/uH8Lpk5sxMdqztB9\n3tbTgSkdD+FENLcSgE6RN6Fm8uTJWL9+PW699VasX78en/vc50y/X+MN4vKGT+Lysz+JZ2beqIWc\ncl1kqxW/LlzHeoK6Zy/CjqvuEP7e7zFXbqehSB785LIbTDdXFntaM6ccdqM1S733SJIWNgLMw1Qq\nwF3w+xIZwjXN+xFhnD/M/XvrttU6A6XOF8LUiY1cjZRuKruPhLR45Nug7BV6lmiDgWc0E68cjx/2\n4P4thhb1eobdz9FUEjIVBvFJHmyas9gQGqHd8Xb6l4eBVAzdsxdh4Y613H6mM+FeZHh6PBDivmjE\n8NoqKHs1bpEZty2aSpqOxfGBKuy5+m7D53SobJw/jF8JNMyAzGL5+O+M0jSt29s1jyPvt5NCtbhh\n5zquB8quGOPV29ux78if8tbfohGUvcK1QnTiBobDrU1dj+nmD+0RtZIaISFVAJbF1QfTCQP/kEf1\nSKppHDLJ/qbBe2+i46aCf4Al45feBFnjcCiVwPTOlXj4wnmmQqdb5y6BLEmmG7hoHJ6IRQwewP5E\n1DQJIqT4tLWYTdbJ1YhoXL8MZ627Fw3r7tVVScgXbNSH93ztTQsQ9g/vRX5PJgz6wVC/9n0rOpAZ\nJMDAUSyU/M2KaS3wILMupLPJSGR8swLfKTWNGLV+p1XVkJQE8DPQT8QiJRM7Lnmu6anEEPZ/8Cd8\nd+pcXNJwHt698WFMndhoGiLwS7Iw9ESIjSI0VNehoboOYwXcoUQ6hUQqCQmZk5oZ+pMx3LJ7g3Z6\nsdIvoheCF7MKynYGIwl3XrX1hwCsTwu8vxO+BDlRf37CZO5vu5vb8NsFyw2LPhmk9KKzrWWJbvPw\nSRkBxnOqxuKGnes01/xL8+5EfagGv5z/94bTpdcjI8Dhg7AGw9gAX3R3SsdDXA7a4UifIZM2kU7p\n2oYuth7y+rX2IZls7U0LMGfylOFnsuEBYxccYFj2QWQ4p9JpLZxxxebHTa9PvEfg3AfI9B/vgOGX\nFdSHa7knbSfeA5oETYM2TlNZHhTd1+SESsJPB0/x26KtpwNNXY9pRhYZU6/MX4r+RJQb2iFtYseo\nUpExfHjGigTjSdoOoqmEQVyXRlD2co0A4p1gn5sYKGRM0IfI8YEqXX8Rjzpgb6OkKRUiPh3AF8MN\nezKJSrQH1Oy9CdgrDSTiONR/UsfBGkwbr6NCr3nHgx0tPJ9HseQ+mT0vQUBWdLITbLIOfai24k3R\nexjhDarIHBCCOWQy0td9Zf5SnUf1ws6VwmhRW0+H7tA5LhDGrI2rCqZ7pSJj7NT5QhpH0akEDZ+1\nBXzvv3di7/ylOBw5pYVtSdKRhzFlTsQi2neGUgn0JaI4I1BlOJCKuIkqUPTsbKBMxbh5Oio0N4JF\nMBuP5S1qZuGVgKxoRgGb0Ud+m4aqEfLpIsm5gD3VDSbj2nsStzOJ/9tZHP5y7CTDZ+P8YcuQKjBM\n4if3feqyr3O/RxZ/ekMd5w9rg5RddGijIuwN4LVr78eJ2CCXa0T/nvRdXyKKKKeepDcrCUF+J+KA\nnYhFIEHiispa6fB0N7dpsX3CWWuorsP/fP27eO/Gh3XGF2DNxwEyhi4hRbMnLNHC3p+M6sIZBLwM\nJtoTwFvI6sO1Gc4C45kwK2LshMzcF48akk8AvQe3Nz6E6Z0r8dSl12ukZFKyhYwbkTE7xhfUGSS1\n/hBeu/Z+XdYmjXH+sNYmdondnc1tQqLzT2f+ja1rEAQZ2gG9phDjkecdp8Ot7HOTNiYheIKArBiM\njWcvv0krk8I+B8nSo71UdBJIQFYcGZwZD5qEmGpfe453/f5EFC1bnjQ9CBPY4QRa9XtvPILu2Ysw\ndWKj7n5O3r27uQ1xil/5ZJYbRBuHddS1n738JtPrPfvlm7lG5RhfCEGfcT3vbm4zbatAtvrAnmx4\nlD4os2D3Tbo28p8jp9BP0UnGB6ocSdMokAz7UV8iioCiaPOYV++WHLJ4GCN4b7K/sOuqCiDBjFG2\nHchBkDXuyZhgD7fdzW05Cwc7QUkNMPKSEoYXHZqAyk4YArKZ7LzKSPJkN0m64aOpJE7EIrio6xHM\n2rgK1d6ANsDqQzWG0hnHbSjtez2yRsRkwbr8ae8FAZnEonclOLfmI3i86RoA+gnkk2XsuOoOzYgT\neTPYzbfWHzTcjzZe6Q3qeGwQ9+ztwqnYkHbinLVxFaZ0PKQb/KfiQzh/wwO6FPvu2Yt0ZFUA2P+1\nZVo/BWUv6jmZWH1UaAUw9/opHg9ev+47eI8pyGqmJReQFdy062mtjIsdLR87RMzFPR0aKZqVfaD5\nLDS6mtu4mwib4cn2LY/HdFHXIzh/wwOIcDwTTwpkDdixJxpHEsBNPuE9G8m8JAscm4H5RNO14FWD\n3N5ym27zoD3dxHjvbm6DLEkIKz6d18fMa65g2CiZOrGR6zUlWdBOZADocFVAVnRj+V+//HfapkMb\nnPWhGh3XbevcJbp7kjZmwx7V3gBOxAZ1c2FxlvPJega7mttwz95OHIn0aV6qgKwgQK2H1VQtQ7vG\niNMqBVZcXrM+a29agHv2dppWpWjqesxSyoZ4oMn96EOBHXiQmSP0WKN5mwQnqP1icU+HKYXl6u3t\n2vvQFI1tLUu0Z2QTyJ669HrDwY4gijSS6bRmjJ/Mtgnv0GiWREJ7ql+ZvxSvXXu/5d5EIwkVkiRl\nn3N4TLNrD30gIZxtnkHq9yjYMvebXG8/2U95f2MpPlVev27tYGk9BKQPe+NDOm1EK25qoVBSA4x4\nf0h2As8TtnXuEozPaujQIHIBZJMjRgl70udl2aVVVUdWJenEJxiDi7cosZ1NTgyiRaCruU2XIm5G\ntCTvSoZtleLHF+o/jsvP/iT+fc4i1GbL9tCTigxkYsS9PH8pxgeqUOcLcWPc7P3IoGRdsewG9R+H\n/4ilL3cDANdb45dkBBWv7vREBjmbfUffe9e8b3EzsdhnFpHT2XA0vSgRkdKg7DWc4ogxTsq42PGe\nEOFSEdhnZk/IdLYTLbFBQu50SJoYH/R4ozcSgM9XSGXHNm+b5G0aBPTGNHVio8Er1t3cJtx6fR4Z\nkxj3fFD2wudRtM2THQO1/iD8jEFLeIMiHTb6sMJbMxqq64Sn6CQyc5EspH1xcTkiA0lZkjE+UGWY\n+yRMTs9veizTIrt+iizOHjZ5WVbk2jT6E3pCP9mAeGOXGGb0m1R7A7qNj2SS7//aMseGGHmX7uz7\n02sNO4ZZELkF8u608Tkhewge4wvigvENllUp7ISd6XlJz0kyXqxCS8QLR7clr4IBywkzoyzQc7ku\nmDFuglkaBHnGOZOnQMJwAtktuzcYDnY0TsYjeDtLtCfP2sspU9Xd3Cb0ahEFAXbuOcka7ktEcSw6\noDNYaYMT0B/wF2dpB7xi189efpMuU5R2PlR7A9rf6CNTd3MbXrzydt2YJN4u0dpBwFJsCCWqVCip\nAUYGGu0NYQ2FhTvWIppKGBqYDA6ra7ChhjpfSLiRsAsZaxhMCtUiQRl07AmHPTl3Z0+h0VRC48WY\ngXhOCAaSMbx58gjWXna9ZnwB+snAGpzkGq9f9x2DB4Z3PzIoWVfs1rlL4KPa41NjJ2Hl9FYAzEKT\nNd72XH23rg/C1CDnZd/RCyHd7tWKn7sAvHjl7bqFnmyKxOVOJjDxSNAcso8Eq3HDznWG9w/KXi2k\n05eI4sLOlfjUzx4USpVYkZytjDj6nUlqOJncbEiavD+9uLBjm9zPL8m6klJAZiw6IbuyxuLUiY0G\nI1HHPaJ4KrW+IPoow4DoW9GhaPrUTU7DdHvRp0z6WUR1OWmPzwN/PQdAxhsya+Mq4TvOp1LTWb0u\nAp7BsOfqu/Hatfdje8ttkCUJQY+icUSnTmzUMq4bqut0Y4Q+9ROjUrT4031Jxv89ezt1zxFNJXWh\nIXKg4xnv3bMX6Z7F78mEL2njkjYQaUOMxTh/WJvndHip1hdEfbjWYBSwY5i9Fn0Qbep6TPdMJBxG\n1jWrqhTsnFsxrUWjI5DqDyTrkgfimTVcN+u/EXk/FI9xq2QPDrRns1rxCw/F5GDHev0BvuefjkLY\nQbXiR40S0L2PmVeLx/Nk/13nC6E+VGMraxswHh7JAZ+0g6jYNRmjvH2eNuLJ+CMHyIU71mri6mz/\ni+YoYOzDUqMsHDCzlyYdQwZiWPFx9bxE16A9OX6PYkht5oU46IWMCKbWeAM6sp+EzCZDBqBfknUW\nP5shKDrB8TYYVqKC3Xxo7kRQ9uJwpI+rW5VPevPCHWt1BtjvT/wZb508qmunXfO+pTPe6M95IUYR\nh4o2KPuTMeECQC/0ZFMk36PHCTEAyGnnnYEThslNvsM+kxlXykogkbeAOgXbZ/TiwjuVkrb4wqSP\na58rkgcvtNym44iZJa6IwBqJtGxHnOJYJNIpLZQrAQhmM8Xo8C6NW3ZvQFPXY4glE6abHKD3tpLw\nKhvuvzW7SIsWcQKaT8QLMrZneT2iz8jGN5ROaiFWFuzJHhg2DGOppNCgoPuSjGuRfhgJDbGHUNbw\noQ2bkOIzePh5Bg0vrH08NojW7e144K/n6BI8euNDWp9csflxLSrBjmHakP/tguW6NmbfkTUiSZaj\nKGTEemaeeH0PXr/uO6j2+rOC3vx+ou/Pjplx/jB+Of/vcYjxftBrPW8u8eYu8Wz2J2M4GY9otBd6\nLpsZBKK9ymqs05nh/ckY/IpieB86AsIahrx9iTa24ukkYqkk1jOcSQ/1zHT5M0Bf9YPdr+kDiFnk\nxso7Tu8HhMvN9j/tmWT/Rq5DQrmi0HexUBYDzMxQYGUTRK5D0TVIWI+ozdPuTDYkyFvIyMm+LxHV\nGUZnBKrQUF2nZTPuufpu3d/JCcnqBMcz0NhThSg0y3NDm+mWOcEHQ/0YYLgCxIMgamse2Z4OMYqM\nG9agNONiiSYI3c5E4JK8Bwv6O2wyBo+nR8DjDdFZj3Z4ZCKPjhl47U1v6te8sAb7j/4JiuTBF+v/\nAr+9djk+Oa5eF2IhnsJ8QJ9a6fAYUTZnPTzkM3aMAuYLJA26XwOylxvuJ4aVmQeSKMwTdGWNAtqT\n9+D+LQYpiwf3bxE+D6+v6TFyONKnSV6Q56bbxGwDYd9nxbQWy5O52TpK6yAB+igCDXq+sNSPtiy/\nkZ6rdJ+IDh+sIU+DfSbiZSQGFwDTkJFo7aCvyyv3ReYgOSTQHi/WSCSg13o7c4mVFwEy+wh7wOQZ\n7QSivcrK2z7ESWxiQUdA2EMeb18i709HNxb3dOjaf+/8pdoz77n6bl11Cnr9Z8cqMVT9ij5yQbjG\ndLjejlOBNmoHEnHMeG748BahwvAiXqyV46RYqLiS57Trnobdje6KzY9j05zF3BMjrxPpjQ3QL7g0\nPyKRTuFQ/0ndtXinFSuXJm9BZyUqeIu96B3oYsC5grdwAHoPgpUhwQsxmhkoZAKKFhb2fuwEEbUz\nfT1SioP+DvEw2eHpscaaT/LgZWrBseO2djKxzdqYvs47AycwkIwjqabx/04d1YWr8/GCsmA9n/TC\nSzgWbIiA3Jv1HtgteM7zqkoYFo+kDSvyXTJPaQkLNqOVGAXhbMYZHQqhYfcETv+dxvzt7YakArv9\nQe51TtVYPPybF4VVI0Rg1yOW58cDfeBlkwAIKZz2SpHviBKp7L4jeSbiZSQb/EVdj2hrkehwxOsT\nM5oGzyDmebxYOJ1L9Fgy8+oMUf3KGgRmjgWejJFfkrnUg0gybto37H1485MXBiReSrr96WvZPVzT\nYViSvMNm0zsB7eXqT0S1KEhG1JvPTeMZ5rkWWs8VkqrarGOR740kCU5uNaXjIe3kS7J3RBOhqesx\nnXZOfbbArx2cv+EBbcLXh2rQPXsRWret1jrhws6Vwuse6j+pfdfuJDX7jd3rnffT5RhMJ6AA+BXl\n/ckVdBsAmcWjiwkTse3Etm9T12P4YKgfXo+Mpy69Hot7Okzfw+p67N9jWRJ9UPaaGj659IkZDvWf\nRMuWJwFk+EJOr0nGsdVzA+ZtQl/HLyvojQ/ZumYhwWtb8pnPo+BEbBBej6xthvR385krffGoxinj\njRUn12a/S68zhMNJxvHWuUtsPWvDunu1Jb67uQ314VrL56HnC3sfq7lh992c/IZuY8CoiUc/kweZ\nsLNZnzgBPbY9kqRdd3ygSseR5YFux7SqcucFOwcX7ljruI+dvsfPZv2tcA0875nvCNvObFwAw/31\nZNMC7fqAfp+iYbdvCrEv8b4vamveuuhkrWRBz2Ma9HpJQMaVnX3Pqd3iFBVrgB3qP2lq/NBgG/IV\nB0aJVafbHRRWE6dQvwEKb2Swg5fX1lbt4HTTcNLuHwlW48OhfkRSCcMEqXQ46SuzNqGvA6Cg/S+C\nk/HJzsGx/hD3N7mM+XwWZiuw/WM2jkXPvu/InzB/ezs6HYxNu8Z2MQxs3nucve7bGoeMx9Fjn+mK\nzY8X7BnpPnB6XbodxweqoHg8hnlRiD52+h5mvzPr31yN71If0Oy2k+h9eAc3Owd3EchB+Vh0QPvM\nA2BvNiRK2xLEAOMZbWybjzoDzM6JhgV7irWzCJL7SJDgz7rsede3O6lymTi5TjYnsDNRDvWfxPTO\nlVABQ1vbbSenm4bIc8J6VrpnL8KsjauK3k6VgEIb1vnCyfi0s5g5vSaBnRN1oWB3c5QlCSHFl/Nz\n2DW2C3ng470H6YPznl6uJRzZ8TIWa6xaXZd971wMwWIYQE7AvqPdPU/U501dj+HI4CntgGrHA5sv\nRHOBaNfZ7R/ae2zH42kFUd9+csN30ZeIwi/JGqeP9MNQMiFs82IbYCXlgNkhI9shsLKww3UQ3YdH\nkqRhlwdgl+OSy29yIXIT2OEgNVTX4eyqsQCMmYt228lpOi9pV1Hc3ymn7HRAIflbhYCTdhdJI+Rz\nTQK6XejxfGHnyoJnLbHjWMQTMSOj25mvZvPFzjjIhzTM6wNWJoAF+0zFGqtW17XLBSXg9YXZb2hO\nXC4ct1ze0e6eJ+pzNsGlFOuIKFmG5l5d1PWIlvkskgYptGkj6lteQgVpJ8Lp5SUBFBslNcDsLBi5\nEFhzGXD5bOpOJ7UIdn9T6MWWB1oRmKdXZDdb0emkt3P9cmu1jFaYtTs7B9jFzIy0brcvefOMTdoo\ndNaS3c3RTMvQ7qEnn00yn/VLRGIfCXOMfe+Gan2lDrPkFVFGHg0r/bZiv5PZnifq83IcUEUSRPQB\nLCB7LTOfraQ+rCBah5wcaqycAcVESUOQZ/5kaclJ1CLkc59SuKlp5MMJyZeXUOz+KNb18wnRjAbk\n2z6lmAO8e9gJGxQSucyLYnO4rO5/OoP33sXg05WiDwns9qXoe+VeQ0X8VDvh4XyfvZDrEK/PTysO\n2F/964qKIg7nilJOTqA0i+3ptqCX2kgWoVINwXzbp9BzgLTTYCKOoJIhEpvxYSr5oHa6zaVKR758\nOh7cPsx/jShFGxZyHeI972llgJXiVuUgUbqoPJTaSBahUgxBFvm2T6HnAJtFCQxntYkSNVy4ACpr\nPa6EA1ehnqFS1lAzFLvvXQPMIUbCoHFRfFTKolyp47FS2gcw6vgB+mzcSjViXbhgUY6xyhpchcoa\nr6Q1olxwDTCHcAeNi0qCOx6tQW9adb4QAoqia69KNWJduGBRjrGaq2g1UBkeu0rGaSVDUQpUWiq/\ni9GNhTvWYiAR4xYWdpEBncW1rWWJYf6OlAw9Fy7KMVbZLEgnz1CuGoguMjjtPGCVhpF+whjpz19u\nuOEza7hewsLBna+jD/nMn1J67Ebi2HQ9YCVAPkKnVhjpJ4yR/vzlxmgRkc0Hrte6cHDn6+hDPvOn\nlB47d2wa4RpgKO7AGOkb8Eh//nLDDZ/ZQzEPQaMJ7nx14QSlPPy4Y9MI1wBDcQfGSN+AR/rzlxuu\nd8ce3NNxYeDOVxeVCndsGuFywOByUFxUDkYiT6IQcDMdXbhwUWlwZShcuBhFGK2kffcQVPkYrYcD\nF6MXI4qEf+TIkUJezoWLUYfRypNwQ7WVDzdM7MJFYVEQA+zYsWP45je/iRkzZhTici5cjFq4PAkX\nlYrRejhw4aJYKIgBNjQ0hMbGRsTj8UJczoWLUQvXE+SiUuEeDly4KCwKYoCdffbZOOOMMwpxqVGF\nPXv2lPsRKhJuu/DhtgsfbrsYUYw2OR0OB+5Y4cNtl/LAlaEoI9xBz4fbLny47cKH2y5GuG3Ch9su\nfLjtUh64BpgLFy5cuHDhwkWJoZT7AVy4cOHChQsXpz9cKRM9THXADh06hM9+9rPCH1955ZV46qmn\nAADr16/H8uXLcejQIe53P/7xj+Ptt9/O83FduHDhwoULFy6Kj4997GP44x//WLTrm3rAGhoacOzY\nsYLcqJgv4cKFCxcuXLhwMZJQMA5YOp0u1KVcuHDhwoULFy5OaxTEAPvNb36Djo4OfPDBB9iwYQP6\n+/sLcVkXLly4cOHChYvTEiWrBTkaceLECQQCAYRCoXI/SskRjUYRj8dRU1NT7kepKFi1y2geMy6c\nwx0vLpzAHS+VhaLKULz//vu49dZb0d7ejhtuuAFvvPFGMW9XEbjooovg8Xjg8Xgwffp0hEIh03bI\n9W+VClVVsX79epx77rnYv3+/9nkx2mAktY+oXQD+mAFGR7v09PTgggsuQE1NDS6//HItiWe0jxdR\nuwCje7y89tprmDFjBurq6vClL30Jx48fB+COF1G7AKN7vAAZetQll1yCnp4eABU2VtQiIZ1Oq5/9\n7GfVl156SVVVVf2f//kf9aMf/aiaTCaLdcuy47/+67/Uhx56SP31r3+t/vrXv1aPHj0qbIdUKpXT\n3yq9/T744AP10KFDqiRJ6i9+8QtVVcVjIdc2GIntw2sXVeWPGVUtfJtVYrscPXpUvf7669XXX39d\nfeGFF9RzzjlHnTlzpqqq6qgeL2btMprHSywWU7/97W+rkUhEHRgYUD//+c+ry5YtU1V1dI8Xs3YZ\nzeOF4IknnlDHjh2r9vT0VNxeVDQDbMeOHWowGFQTiYT22bnnnqt2dnYW65Zlx8KFC9VHHnlE/cMf\n/qB9ZtYOuf5tJIA2NIrRBiO1fVgDjDdmVHV0jJtnn31W7evr0/69bt06NRAIqC+99NKoHi+idlHV\n0T1ejhw5osZiMe3fS5cuVZcvXz7q1xdRu6jq6B4vqqqqv/rVr9StW7eqjY2Nak9PT8WNlaKFIPfu\n3YvJkydDUYaVLs4991zs2rWrWLcsK1KpFE6cOIHvfe97OO+883DNNdcgkUiYtsPLL7+Mj370o47/\nNtJQjDY4HdpHNGaA4rRZpeGav6pDfgAABKlJREFUa65BdXW19u8JEybg7LPPxt69ews+JkZ6u5xz\nzjmjfrxMmDABPp8PABCLxXD06FHccccdo3594bXLnXfeOerHy/Hjx/Hyyy9j9uzZADI0kEpbW4pm\ngB05csRANK6trcV7771XrFuWFbIsY+vWrTh8+DCefvppbN26FcuWLcPRo0c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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see from the traceplot the when sampling $x$, the sampler spends long periods of time near zero, and occasionally moves to and hangs out at higher values. These correspond to the two areas of high density in the countour plot.\n", "\n", "We can also draw a histogram of $x$ to get an estimate of its **marginal distribution**." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(x, bins=50);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is exactly what we would expect if we projected the distribution in the contour plot down to the $x$ axis.\n", "\n", "We can do the same plots for $y$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "traceplot(y)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/r+hKPeSfgMbLXDTcAKtmEgbpPMm1cgulVDLx/LbF69odiTSAUmFZFQ9HZ6D4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\nWDpMIk2t5AsnLo3GQSJGrVqhLds2EOu791JpDO+Z0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VRKRcmSopocXeWoBf9G+Hf4MJO5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\nIa1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xcatoHAsDypmDRHu7/N8bTlllcnppJaq/w4pJDMGpes3MSYvccdqHkPGkBQthxgnJ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\nUUQ+TrXhKBLZNHKGYZtIPKpGEQyR21QXidt2i8DQItWXTaE+HDeji1TZdSo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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(y, bins=50);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because we are in two dimensions, we can also plot the path that the sampler took through the $xy$ plane. Note that the path always takes right angles, because we are alternating between moves that only move in the $x$ direction and only move in the $y$ direction." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.contourf(xg,yg,z2, alpha=0.6)\n", "plt.scatter(x,y, alpha=0.1, c='k', s=5)\n", "plt.plot(x[:100],y[:100], c='r', alpha=0.3, lw=1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 38, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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RJA5hOMFxFFW1OeLD8wLadslwmFCWA4oipq43B80miSYMh7RtR5YpLMtnNHqWqmopS/PO\nXKOq2lxYlhkYRu+usCSEEEKIjxGMvvnNb/LHf/zH/Pmf/znXr19/lNf0qeV5mrZdEQQ+ZWlSVQZV\n5TAcjrCshqpa4Ptgmhlt2xIEA2y7JsvWRJHB6ema69dDgsChbWuK4jaO4+C6O/j+hOl0yZtvvoPr\nXsJx9klTk/erSpvQswlAdQ3zuQmYOA607QxQOM7wTjj6wV1rQgghhHjAYPTqq6/y27/92/zrv/4r\ne3t7j/qaPlE8T2MYD9qoXJPnOUGQAooo2iJJLMCmLDPKsuPSpSFnZ0vqek2vFwCa9bogjn329kyW\ny9doW9jfv8b3vz9jd7dPVZ1TliH9/nOEYUJZuncOlv1hlNosycVxzWpVUxSW9BMJIYQQ93Hf5mut\nNb/1W7/F7/zO7zx1oWgTJDLOzhYoVdz3+W3rMBoNsW2T5TLBtjdrVU0DphkTRSMWCwffH9LrDVGq\nIU0T9vYU63WF7/ewbY+2zVmvS37yJz/PpUsT1usVWpckiU+e96nrwZ2QZtvguupO6LEs8LyWKIK6\nnnF4+B5aQxiOKMt7G4ocR+G6kpiEEEIIeIBg9A//8A+8/vrr3Lhxg1/5lV/h85//PH/6p3/6OK7t\nidMaDMNjNAoB977Pr2tYrRzKcshweIk8/+B7ytKgqmyUgrK0KEv7Yo6RpixhtWqZThX9/n9je/v/\noGk8iuKI4+M3efbZzQ4231+RJEuCoMC2od83cJwVZXmO627Wxmy7JEnOUSrDsjyGwxGmGZNl916v\n4yjadk5VTXHv//Z+bFKxEkII8Ul336W0f/7nfyaOY/7oj/6IyWTCd77zHb70pS/xxS9+kS9/+cuP\n4xqfqCwzMYz4gXtytIb12sE0nYv5QR80YztOSZou6fUGtG2D1gWeB6YZsr3tEscFafoeQWABBYZR\n4/trqqphMDCAFZNJQlUtGY32eOedU0ajiNXKwDA2P8SyDFzXvNjhFlBV8Z1ZRoZxd2+RUtB1HVpr\nlPqgR+lRsCywrBzDMCkKR3qchBBCfCLdNxilacpLL73EZDIB4Atf+AJf/OIX+da3vnVPMPr6179+\n5/9feeUVXnnllYd6sU/Kx/kl7jibYY+G0VKWKb4fkGX2ncc3AUVTVTVV1eC6LUq1uG5Gmh5y7bX/\nj75v0TQ2k4nCsmpu3Zqyt7dNkixZr+cUhc/e3rN4BwtG8x7PlSOyQ4Vpamw7x3WhOHHJ8w9OkvW8\nFsOoaVv3znEkSm2ut+s0df1oyzm2rcnzBMOANz/3qx+5rCeEEEI8Kq+++iqvvvrqfZ9332C0u7vL\ner2+62tXrlxhPp/f89wPB6OnkW0rtJ6jVMlgYHN2lmGaJkrZaA117RJFW+S5wjQd+v2CPD/F989p\nGoXvW4wih+XP/b+UZcLNxRG9nslyC/TlPd566wZXr4Y4Tszt6hrTK7c5qlrCcIsksfE8zXx+k6LQ\nhOFVsizCcRS2nRPHC27ePOT555/l7MxHa5euK2jbGsPoUZaP9rOxLLDtAqUM6kJCkRBCiMfrBws2\nv//7v/+Rz7tvMPqZn/kZ3nvvPeq6xt4cA0+e57Jl/4ewLEVRpCSJQRAobLshzzcN2Js/m8pM0yjy\n3MJ1bVarAyxrQBBss1jYHN2eURQzbDunKMZ43pDp9CpRFJAkU95++ybPPNOiVA0ojo/fwHV7lOUI\n3w9wHAulAmxbAzPW64Q4NvA8lzxPmc9LJpMBaZpTlg3jcYBhaJrGfmSzjTbv3Xs0Ly6EEEI8JPdt\nvv7c5z7Hyy+/zLe+9S0Aqqrie9/7Hr/2a7/2yC/u06ZtNbbdYzy+RhRtk6Ywn5dY1qZCYtubJa3N\nzjGNYVQ880zAYGAyHpt0nc14PMEwYq5dG7G1tUUQTFAq5OjoPbQeYlk9Pve5PWy7Y702CIIecbyD\nZcWYZkfXeWi9y2KxubVF0eI4Pm27R6/3LFrvEUUhTWPjugP6/SFNUzKfz7Cs/El+fEIIIcQT90Bz\njL7xjW/wta99jddff51bt27xZ3/2Z+zs7Dzqa/vU8byW+XxGGLrYdg/P2zQZN43CtsE0c5Ikod/v\n43maIDhhPp8yn5+ws2NycNByvSpQSjGbTVmvz9jeblDKw/dTPM/g+PiMXq8mjq8xmUBZdkRRSFla\nrNclaVrT74PnNXSdRRiO6TrF8bHi/dttGDFV9f5VGwQBhKGLUvYPe2tCCCHEU+GBgtH+/j5/8Rd/\n8aiv5VOv6wzC0MBxEqBE6z5t66L1EgDX9YnjzXO2t9csFkcEgc0LL1yjKAIGg4o+CtM8YjwOCIIR\nWleYpk0UaZKk5MqVkNu3T7GsM0zT4/x8jusOWC5DhkMfy+qoqnOU0ozHLlVlsl4rLCvGsjZVqq5z\n7hpWmec2pjkgl4KREEKIp9x9l9LEgysKhev2qSqD+XxF25YYRkdZltR1iW072LZJVZ1QFGdkWUFV\nad58c8liYeB5Q/JixuHhCWBSVQ1lWWKaJl3nMRopmsai15ugdchyuaDXM5hMJrhuhFIehqEJAgPP\ny5lOD2jb2/h+RhzXWFbG+fkcpYq7ZgppvekBkgNlhRBCPO0+1iGy4v7S1CIIdplMGrLMoq4Vo9EY\n02xZrWYEQUNVdeS5y9bW5/E8iyDIcN19kmTKOm156QuXsG2HLMvpOoPtbY+msVkszlmt4OrVa2RZ\nie/3qWuHPHfxPAfHKYCSsvTx/W3aFizLB+DgYMrly336/QClHAlBQgghxEeQYPSQtS2sVgbgANDr\nNaTpgq0tm67Lcd0Az6uIIpOqKlguS1x3m+PjDN93cd0+q1XOclkxmexztDb4zkHFZadFKYP9/YCq\nOub0NOP69cvM5yl5vqLXG7NarSiKhCDYJUlCTPNZDKMAWgaDhixzcV2HrmuwbYu61ncqRxKUhBBC\nCAlGj5RhgGmuaZo5VRVsZvjUmjQtaJqGPF9jGJvdaJuKkI3vh1SVzfa2x8LZxuqW7IQGSeMwLRry\nrmU+X/Ps7pCqgvPzBM8z8X1Nnmt2d8fMZn2qCkajnCy7DfhcujSkrhOKQnN4WNHvD2lbB9ct0bqh\nbSPqWtKREEKIp5sEo0dEqc1QwzxXuO4Awwjouoa6juj1Qkaj5GLX2ITbtzv2922KwsQ4bqjrhOM1\nqPwY1ytYrk0Mf8xLL26xXM557rkRt05DrBN45pnPkWUJnqcIQ4/bt3N838C2Fev1OUWRc+WKw3p9\ng3ffnXP9+j6TyZCqsrFtRZatqOuWXs+jrs37vzEhhBDiM0yarx8y21Z4XkuvV6N1gm3HKDVhPg+x\nrD5KKWzbpigybt8+oGlu0+tNKcsb1PV7dG3OuQ7YmhiMexlOV3Ht6hZRFLKqA4bjMbdOMnYmJbe9\nkPXapuuWvPnmd7HthH4/oigUplkBNteu7ZKmm6naL720g2lOyPOIslRUlSaKBvT7A7Q25ZBXIYQQ\nTz2pGD1ESoFpZmRZgm0brFYdluXRNM7FTrGS5fIdfN/g0iWToqhYr+fYdozWNYnZMG9bnn9+RBjY\n3D58E9e1SQuTooJlMScMdoj626zLkrrM+Q8j4qd7GsN4fwaRh1IebVuyXILjOJRlw2LRYpoDwKdp\nNs/UGrLMot83KcsVvu/dda6bEEII8bSRYPQQbQ6INVHKxLJiRiNF2zoMBglVdUgUefh+g21XTKcp\nUeQTBHvkuYHn1YS2R30jpahsmuGYwD8kDh3WpmY79Ghun+O0mu0h+M6AWq+hKXnjHJ6PY3o9lzyv\n8P2W1cpjPLZQShMENq7bpyxN6hqCoEJrg6Kw8P2WojimKBo8b4Rh2B/r0FwhhBDis0SC0UNWFA6+\nv8ViodEaokjjeQlZtibPUwzDZ3t7zNnZgqaxse0eTWPyd4crLm85vDzcJu05hA6UtoHGwOjWmK1F\n7JaUaco7B1OuXLmKpXzcqEK1YyrzjLfeep0wvEwcO/i+gWV1pOmKoggwzQlNY2CaLYvFHMexcZwx\nWndUlUO/H9A0kYQiIYQQTzUJRg+Z42gMI2UwsMgyD6Uy6trkhRf20Lrm6CgBFIYR0rYa141o2yn/\n9ZmWnWsDJv/u8p2D96iXiul0Sj8w2b7kslq+QaBMer3LuM8otKUYjSLWRcMgdlkeZ5RuwE7kMZ0e\nkWU1/b5N0ywYjZ7l9u0pvR74fkwQeHSdy3K5OTjWcSbkuUFVya40IYQQTzcJRg+ZUhV5nrBeF/j+\nhCgyOTs7oW09qkoRBC5nZxl53uF5EUotmbc3cdUCu2gp09v0+y6Xd68ThSFVU6HrhvPTY8KoTzhq\nmScJvZ6BWd1Cz6d4wyHW2KKtx/j+LlBy/brGcRJu3uyIIps4VmTZnPX6hH4/oKoiHMejKLg4HkRC\nkRBCCCHB6CGzLIednR5J4uB5Jl2nieMhQdBDa5MwhLadE0UTug6q6hSjXRMENk16wHpxTr2zT143\nZJViMByhtcX+tRbTskmSBtvrYXcpq7MlXVOTTkv83pi8POP17llCHN57b4plJdQ1rNcFptlna2tE\n2y5JkhTL6nCcIWVpo9Rm5pLjVIBJnptYlhwTIoQQ4ukj2/V/TIYBvt/ieRrbVuT5gsPDjDAcs1qV\nzGYphhGQ5y22bXN2tmK1KiiKmPXa5bW5z6WrL3H5+otoM8R2Ay7vP0O+XFKuFxRlR1aZrAqD2XxN\nP3bYu3SVZJ1RlC27e3uUKsIOBpiGhW6nvG1t4zg+o9Ez7Oy8xK1bJW1bkCQNWkf0etvUtYdlge9X\nWNaKMKxZLOYURUIc17TtHN9vnvTHK4QQQjxWUjH6Mbluw2o1w/NcfL+PYbSEoUnTZPi+xvdjXHdO\nmi7puglR5FCWBlFUYlkwSyNaN2C6PCWOfDrDxQ4C5mcpsa9wLcUySRgFJqdnGVmeUCQ5ly/tUhU5\nyzV4/St40Zjd3RzPM2jeegOjdTg4MIjjkPHYYTiMeOedQwzDxzTHWFaK62Zo3ZHnGf2+QxQFWJZD\n09RkWYXr1sg/ESGEEE8T+a33Y9LaxHFsLMui62rm85Z+36OqSvK8ZX8/ZLG4iVIZW1sdi4VNHEec\nnd3kZu7gBj3WSc18dkbAnH6RkeYa1w+YpTlJNccyTApT4wQDTDOkWx6xqGuiKGKVN+xtDzg/eYdi\neYjFgOXZAm//BcbWgLYtqaolh4fHXL4cc3TU4rqbnqK33jrkueeGuK5BmlZATJ6DbcNgYNG2LtJ7\nJIQQ4mkiwejHVBQK2x5R15q2VcRxD9gct2FZHUkC/f6IquooyxWW1dJ1Nko5XLp8hd1rE6aJ4vOf\nG5OcvYEfHBA4Lk0c4Mcte1sDjg7eoC5XuMGY8WiEmd1ilRWUFqwWLavoiMXpbdbJCVeuXOFLX4j4\n17c0bpeQZZoo6oCGrsvwfQfT1HRdzNWrNYYRonWLUg51vekpqioAB8PYHDIrfUZCCCGeFhKMHoL3\nD19tW01d+3e+btsmbQtRtE0QNBTFGVHkYpo2TbPFa6c+XQyXtjxWjU2nfMoy53Se0HSK6XlKl804\nOz1jMuqzXDeU5XtYrYHneYx2rmCEDo0ZsXN5n3pri/MsBMdk74ridBqwbazo9Z6nKI5YLqeYpkVd\nn2OaIxYLk7bNCcMtsmwTgN5vxLaszdgB17XJc5+ylHQkhBDis0+C0UNmGFxUi1pgge97NE2H63YY\nhkVdZ8znOf9e7/PyF/oUq3O65XtkXY7Z5nSdIl2tuf7cdQIzx+o3BF4fc28f8oqqWNMWLg0ui5sZ\nQdSRFQW4E/a3QpbLKXlRMww9VrMlcI5hWESRgeeNqGuD09Mc0ywYDFzqugQ0WisMA1y3pGlKPM8l\nSZZkWUkU7VLXoQx/FEII8Zknu9J+BLat8P0W6wdipVKbYFEUpwwGFcvlGXl+husumE7P2dm5hO/3\niCKPrb4FZp9ev0e6PKGY3yaIYvy4x+XdCFWlnBkpt28fENkNRptgZadE3Yqe07EzGNLfraAraItz\nQjMlS444un0Th5QqnzPwDincHNc9pij+A8s6xzA8msa6qFyVdF2K1isMA0wTyjJjvc7pOoPhcEgY\n9uk6U5bThBBCPBWkYvQxbQ6KTVkuUwaDAU3j3vW41g2WVaF1wfPPD2kag6Yp8f2Q8/OEKIJbTUdT\nHhEYPQZSb58jAAAgAElEQVSuopr0cZ1dilbTtQYnB+9SRbA13kJ7mg4wywqaGgvNerUizHPm2mX8\n3C76LRPdpqzTlMtjAy/wNktmbsk6gM4wmN08xrI0/f5lTHNz9Md8nqB1w9aWom0r6trFdft4XkOe\n26SpjeNENI2WYCSEEOKpIMHoY9ocFGvjOBZKmfc8pnVEEDSsVjVlOcV1AzzPI46HNE3J2dkx2nR5\n7lpMtniXaNCh2oIiXWP2nqVqO+y9iLhtGPcccHvkyRKzrhnGMVWeEY5G3D485NkrV5geHxNdHeIl\nFmfZnKZsSNoZUWhTFRl1kTJbWbz00k+xWvU5PR2gVMp6nbK3N2a9VqzXHbPZnNFoQJa5gHPnPUlv\nkRBCiKeJLKX9CIrCwXEmZNm9ubKuNabp0+v5uO6IKOoRhi1leUoY9gjDKzj+gO1xj1Fk0iaHWPUZ\ntw/egWKO6U+In/8pct3wxmuv4WgNRcHBO2+zXqe8c3BAmaZEwyHT6ZSDd/6DKlmQ2tlmsrU2CRzF\nYjrF0DmuG7HuYv7u4DJHRzskibp4DymHhzll6dO2PlHkobUNbPqkPK/Fce55e0IIIcRnmlSMPoJt\nbxqRf1i1ZHOUx72POQ74fsdstmQ2g+Fwh66DNJ1xenqO71s0420GZcnB0ZJn92POz3Mao+XK1X3C\n0OfQXJCnCdv9PioMObt1gKM1Cti/dIlV09KgGQUBKfDl//ZfqZTi+//+H2z3+wz625Qqwoss8nyG\nFwV8+f/c5+++k9N3DJTysW0X1x2xXtd4XkeWVSjVJ00378N1a1arOb7vYVk9mo8YgG1vMhR1/XA+\ncyGEEOKTQCpGP2DzC39BVU3xvAdfRnIcRdPMyLIFg4FHEATYdsvZ2Rm93jY/8RMvkecFh+9+l0Ew\nY7dfQ5NwaWcLJ95he7LLsj1mt5xjn73Lwc2beIaBoTXKNPGimERr9vf2KLUmK0u+8+ab3J7OWFQ1\nV3aGzJZT1lmObWoGkYOhTNLFlLdff4MuvwEcM5mc4Loz0vSEqkooyznHx7ewrOLOe9HaxLIsTNP6\nyJ1orqvougWwxHHUj/mJCyGEEJ8cUjG6h6LrOrqu/fjfqQyapqOuYyyrIk3PCALFYjEnDA329obY\nuUZZGtuxOLh1G6PNePaZ57h16z1uZ1Ou1Bl7UYSRpuRZRpmmvHhywvNtS3njXWga3Lqh+39+kZ/9\n0pfwooikKHC2tph1DubWiGYBq/maZN1x+cp1qvUcy8pRrsvyxptMJj6ua5GmEwwjZDjs6LrNP4XN\nuAGTKIrIc/sjg5FSmrZtaFuF60oPkhBCiM8OCUY/oK41rjvEtjVleXc1xLLANBVVpS8CgaaqjIvw\noInjGDDIMoXWLUVh8OKLIXm+YrVa4roei7JkYlt0vsfnX3qes8P3yPMlSw8+t3Od8fKU787nfP7d\ndzGahqaqMH2f08WC7eGQuq6ZHx5y+W/+hn4cM5/N8Oua8XDIbq/H+Vtvw8marVFM1flERcXRwVtM\nFyvGo+uo9QndjZJSe5y//KscHdmY5mVWK00QNBhGhmGsOD4uGAx2MYx75xeVJXjeGK31xZRsIYQQ\n4rNBgtFHKEuAu0PRppKypqoK4njIer2krhuCYExVGThOSp6vLqZHxygV0+83LJcz6npFvw9zw2d0\nycTTHV3XsS5AG1DWDTujPkdHN4hPTvFfeIFqvWb5cz/H7du3+Ym33+b0Z3+WLAjYimMm/+t/ceun\nfxq/1+fw5Bg/CHgnTRleuoQ/nvD979/gqnLpDyf8y/EU79LPMxjt8L0DjcWCkVpx6Z/+hfPzgqrq\nCEODsnSo64yiWDMeK4ZDF983KQruCUabfnB1z2ckhBBCfNpJj9EDchwYDNZY1gLPqzFNC9u2MAzF\nYNBiGAmWlRMENqZp0HWatoW2dfE8H8Po8faJRxwMOM9q0vWa4+NzMEwm4y1KDZcmE0bjEcPRmKZt\nWacpPd/HsSyu7V/lu9/7Pu+88y5lXVAWBbptGPQHjMZjxlFEl2V4rsvINtBORjo9wCxPsFTGqnao\nuxmz2YyqcoiiiP19jyiaUxRHjEY1cRwzHo/wvBGe57FYJERRhZL8I4QQ4ikhwegB+X7JdHqGZZW0\nLXRdjGGM0LolSWZUVcV43Md1HUzTxLIqiiLH933W6wmOM+S5PQPT9nD8Abu7l4gDsLqKt4/eoMlT\n9GRCZRhUCkLHwbMs2q4j8j3afMEzWyP6gY/vegwGMcliwcGbb1CkKQ6QnJ7Sdi2anHSdE4YOtXIo\nG4MoDIlDB89TnNUpWT7nrbfeo+taTLOkrufAKY5jcHSUsF4X+H5BXS+lj0gIIcRTQ4LRA9LaQqkQ\nzxtTlh5Ns+lH0trEMCy2t0Py/JzF4gjLqlEK4rimLJfYtqauE6bnJ6ymN+j7sMg06IbR0KVvKoKu\n5JLnYRkGs5MT5vMFWVEQhD7LZMmb//t1tgYjWt0QeD51VWLqju3xALvtmJ2e0nccBmXJC9efwdQG\nqWPz3AsvEg+2WK0TtK65uhdBp1HUPPvsiOFwxHh8GctqOT+fUpZz4nhAEGyjlE1ZZti2BCMhhBBP\nBwlGD2i5NHGca5TlDmn6QVAoS0WvNyFJGqbTnPG4j+8bjEYtprlktVowmQyZ0bA3TFDtmrOTY/q+\nQVM1vP3mO1gmWFrz3ttvMzs6ot/r0e/FGLrDtSxCP8D3fNquJU1SUGAZFv1+jOv7eJ7B3s4OXhBw\ndnBAnqb445D1fMbsZEpTV0yPjlBdTdMZ1NpiqWOWSzg7W7NYnBIEQ/r9Ea7r0jQOZbkJfbYdyawi\nIYQQTw0JRh9D01QUxfLOfCPX7RgOa+bzYwzDY3f3JcDj9PSIqpqxWlVsbblEUYnRLfEcA2V4xKMR\ntmWws7dHtD2i68A1TULbxjIMAtcjiiKS1YrZfEanu80OsK5iZ3cHA4Pv/9v3acqGtqqZzRYURUaV\n5xRpSlZVXL10iUVect4ucFTNC9f6XN0OcZ2W56/16TpF05Ts7YWcnmak6RqtQw4PC6KoJstS5nNw\n3T5lefc/E8/TuG4nvUdCCCE+c57qXWmbQYWbJbH7MU2o64IsK+j3A1zXoSznaF3jeRauqzFNm8Vi\njmE0+H4fz7MxzTWLxVu0TYkbDgkGuzi2yXf/7d9wbI//8t8/R3fwNicnJ1x97jl6/T7fPTmmX6zo\n959hMBiw/vd/Z/fSLqv1itPTEy4pRbpOqeoKx7PJ0hxtmNimQTycsOpaZsmKS9d2ifCZ3Vqgupzj\n0zOaqsTrXWbSdaRpzWAQsrOjse0eeQ7jcUdVrRiPLYoivufYE8eBophdfH7jix18QgghxGfDU1sx\nct2OsjwHllgPEA+bBkwzpt8fUdc2XaexbRulPAYDlzw/AG7Q70d03Zjzcw/fdyiKc4JAMRnGOLaH\noUtmp7e5NPJ49toOlTZpLQvDdekPh9h+wN4kxrAtzqfnLJdLiqKgakrCIGSytYUXePz8//3zbG1t\nEYYRbdtiqI7esI8yDeaHh5BnjHs95tUSYwiu7XF1d8T+3jaD0YDtLZ8kHlMUCWBRFC1ZZmPbEbad\nkecLTNNAqRTPKzGMzRynIKgJQ7AsE9muL4QQ4rPmqawYKQWWpSiKzTwh4wfioeOAaTbUtXXXOWGb\nJaUPnmxZvYu5RRWQsFgsuHp1hyzzUMphNjsnzxP29y8xWyyxVimLswo7jBiMxmTJlHW1ZpuG/njM\nyWLBeJVQNQ1h6HN5fw+0YjyZsKo68nKF4zo0VcNitqDtWrYmWwRhwCpd0bQdVbbAdT3qssSva9os\no1Ues9UZvm2QJku8kU+NRWg3pOkU3w/IMpetLZfBYMlqdYpphpim5uRkjeNYOI6HaTacns4IQ+fi\nrLWPGIsthBBCfIo9dRUjwwDXzWmalH5/gmkO7mouNgxQKmW5nBLHJZ5X/dCKUtNAVcFyaRNFV7Gs\ngCQ5J01PL+b/mMTxkEXnASXK6rh0aYJva+bnp7jDll3PIDcVGAbLdcbi/JzsfIGuNJZn4bkebdVQ\nVRV1U7OYL0iShJs3b7JKEk7PTti/cpkwCJmfnQGKQc/FdBzOTk8JXZet0Qg9DGnbgqxY4zkGruOh\nlOJW0RGGLo6TEAQnnJ6+zWx2RhRBEHTs7AwIwz51rWlbkygKsCyfPJdQJIQQ4rPnqasYbSpFOXXd\noFRAVZl3Pa41mKaD79c0TcZyWTEcDmkaB9j0Gtl2R9eZtK3GMBRpCr6/e1FlyfG8NVU1J8979Pse\nx6fH7AxtLNOlruE80QxCkyzPyIsVk34f7ftEccz+M/t8p2mYTWc4yuXmwU3CLMNzPabTKWVR4gcB\nL774IkEQMF1MadqWruvQaLSuqTsDrRuGnocKQpZtQdTv0eUlVZvSmD2OZzXhdU1R9zCMAsvafDaD\nwYRr1/Y4P88oy3fIsi2UGqP1JgQaRkxdbz4nIYQQ4rPmqQtGda0Jgj5ad/eEInj/uAsHy3Jp24Ig\nUHcOWAVw3YrlckGvF2BZBnVd0usNSVOXIKiZTlvCsOXkJCWOJyjVo6hmxP0Az2zoOrh6bZ9e2OOt\nw38mtm2apuHwrbcYjyc8Y9v4ro/v+uz8y/dQB+/h9fv81Hs3ubpYkucZZhQx+Ye/o9WKOFnRv7KH\nl1dkbcvq//oZknWKbSvyWhE2DVHbsszmOOM+gzKgsa6wPXiXZLjFwa0zvjctuGYvSRIL256wWAxZ\nr98EDGzboK4/6CX68PEghnHvcSFCCCHEp9lTF4y0hiwzgXtD0fu6DqpKU9cupulSFB9+1MC2Fb5v\nUZYVhpGjdUm/b2LbBoZR4Xk+V65YVFWFbXt0rUFeVMySE7I0Yf+5/0KKhqZmtDXEMQwSx6FazSmy\nAq00lm3z7V6P6Mv/neFrr/HtuEf/yj5KGfjf/S7f2b/K/uUdvKDHrbbFjmx2/v4fWdJR5jmlbvFc\ni2w+YzAccnhyk93P/STja/sczc8xuzldZ/H5FyLS9T72/A2yLGcy8Tg/T/H9barKwbY9DKO5qJJZ\n5LmB1uD7DV2Xo1R0cW6aEEII8en31PUYfRxac1fzNUCeW/R6E5bLNdDR6w1oW0WSnHJ4eIDjdBwd\nrbDtJfP5KUqteOM9E9frYXsB49GAqiggLOnWKceHh6AUZdsyHo6wFJRliW1Z1E1Nr98jSRLiXoRt\n2ZRFwTJZ8uLzz7J/+Rqz8yPeefN18iTHdEyyJMN3fa7s7TEMPGanpyTTKa7rEFYFbx3/K830e6js\nFmP1DvPbr5Omp3SdydaWjdY3cZy36boZlhVwfDwlz88oywVaHxNFm56rrstZLtdYluzXF0II8dnx\n1FWMflzv99q07WbqddcFhKGP7zssFhmGMeHq1Tnr9S0Gg5a6jnnuxZfIjBXhwMLUc86TmqiuMehw\nHI91nuMFAaZv0bYteZGzSBYEe7toKjzfo9/rM5ud03U1juNyMl/QdWAoF8cNKbMVdGyGQXYaE03T\ndYRhSBCGmL7PjXfeYBAPCYc+ls6p02NiO6cfNNyqe+xVN1itpsTxmKLIcd2WwSDE9zVatywWNUWR\nYlljLCvi0qWGpqmxbf+BZkEJIYQQn3RSMfoRlKXCdccYxuAiIC2ZzzM8b4vbt12yzGU2A8uy+d/L\nlnVyQrZa0OQnZMslA0+zbFp6oyF+HJMpxc6lS5wlc2zb5uqVq1i2xfMvPo9pArrh9u1DDMNib2+f\nfi9kMBiSJAmO43L9mWcY9IeU+Zrz6TlhHKIag4ODA05Oj/B9H7Pr2J1sYTsudd0QhS7LZE4/dvHD\nEsv06fd9trdjXnzxMo4Ts1wu8TyD5XLJpjq2hef1aBpN0xjMZg3zeY5pSqOREEKIzwYJRh+DYUAU\nNfh+cacPyTA0dZ2zWKxwnIytrZK6HrC7+xyOcxnHMXluL2V/y8P3PG4cHFLlGT1ds7W1RR2E9AdD\ninLJ/8/enSxZcl4Hnv/7PLvfOW6MOSETCSBBgESRoghJRokqWRe7aqHe6gFqJ9MjSG+gnaxMK5m1\nWct6U6u2NmpqsEhBJAUOAEgAOUZmzHHn6/PsvYgEQBAAieomSILpv1XcISP9ul8zP3G+853jijpN\n3XB2eoYkSqzW+1RNgmlaeJ7Her3m9PSEOM44ODhitQoQBJH9/X2mkxmGZtLv96myitl8xtb2Fjef\nfY4gCLh9+zaGoSOqAtMyZxkUbI53KUsRTUwZdyMWWcrh4ZRHj85IUwnP06nrEAhYrVLKUkRVG3S9\nIc8bTLOL43TJ87bGqNVqtVq/HdrAiIuGj4ZRYprFRYbmI1wERRl5fkoYrpHli+KjLBNQ1Q12d3fI\n8zX7+68jST7zecnJSYymmbi2wmJ2RuAHfOUrX6Y3GPHq6z/h4aMDktWKxeScdBnyaP8Rq/WS3d1d\nRERUwcFQOti2giiBosiARFVVjEZDDMNAVWU2NzcZDjfw12vqIiOrMmRFBqmmqGJETWC0uUleVYiq\nimHb6FYXQRsgKhpJAf7yAY0kcvXqZZJEx7ZN6jony8C2N7DtPt1uRhDcxrZXCMJFvVWSKO3OtFar\n1Wr91mhrjABVFYjjJVXVYNsDqurD8aIkCQRBhCRJbG3ZVFWCYagslxp5LuG64DggijaqCtBw6VKX\ne2FMmpWYosij44BS9KgFkd954VmEIkMUBYospwSeefYZemnKG/MZZhxxeDhBkgTGucT52QmuO0AU\nBVRNxXEc7t27j67ruJ5FWZWkWYppm4hU9Md9KrGinNfItcje3h5p03B+PiErBFKtIk5C/FRmc9xD\nllROThKczRGTiYIsSywWUzY2LLLMIs9rmibG92OGw/JD56fVarVard8GbcYIKMsGw7CxLJO6/uiU\nUVk2eJ5HtztAkkqOjg5YrU4YDAQsa02eT5hMfMAmigqqSiSOpzx4dIBhOOSCy8bOdYzODscDEX3Q\n5SgM6PZ62P0Bw0sb5E3OfDEnKzJkWcR2bHTd5PzslEuXnsI0DaqqJI4iZrM54/EGnudyfHTMdDLB\nsT1GgxGu1+X0+JTVbEWVVnz/hz/ite++ClXNeHsb21GRyozF9ISuq5A0El53iK6nvDNZ0usJSFKG\nacJ0mrJeL1mvVwSBzI0bz1HXHVQVdL3BMD4+y9ZqtVqt1mdNmzHiYodZXRsIAtT1R++u6nREBOER\nmiayXBpsbblAl6YJ8f1DnnqqoSxTFGWA7xuoaogkxbxww2HQkTmciFidET0j4WoDsqZzaWuLh48e\nkYYRO5dHaJaG7drsjHfoT2fkG2MWixWaplGpKq+99j1efPElLNtBURWuXNnjfDJFkiR6vQHJW28T\nBDFBGDCbnfPUzWcQLZGXvvAiVQNBErPR79HQoIkiYb5m2xhyvjomW+uocsr8fIa0VbBYQL+/hSy7\nFEWNrtdkmUqeV6TpAtcVyHOB1arBcXpUVftVarVardZnX3s3e6xpfv6YC1VNefDgmE7HoNe7ThR1\nKAoZRYlwXYuqWnJ6OmF310SWJRSl5q2FwPNXNH7y/W/hDUZ0evDDf/sfOAMLM9sg8gOUusFwdKb3\nj5AUiR1ZJwgDAj/i5OSMpmnQdZ1YkPC8PqqqUeQFAgJnZxNu376D47g4jk3TCMznSy7ffpuNLGYj\nyYmSkByRN65dwtQ0JscCa99nSwbddhCbGq1JiAqBbneH07MDZgVsbTlEkYPvq8hyTlFkSNJF8Kjr\nDet1gW0bGMZF3VOr1Wq1Wr8N2sDoE/J9lWvXnkcQZGYzA8NoMM0ZmiagKF3StGY8rojjhLqe0TQK\nm6Mu/X7N6XGBRkpdJViui+PZJHFCHAZcv3oVXRZYSgpVWbFYvs1quSIIQqIoIklSpmufwT/9EzcD\nH/XRI2a+z/i176PKMqOyxAMW3/gGS3/NlR+/Qafj8ej3fodXj4+x9vZ4bv8BG3YHp+vhrxKKOEY1\nDPZuPM35O/ukBYw2d1C7l/n8Szb37p4hqT6iqGJZLmVZsFoVeJ5BmqpY1hjDyB7PjxN+pjN4q9Vq\ntVqfXW1g9AmVJUwmDnV9sYtNECLOz8/pdGRUdQPL2kUQFOL4nI0NiSCICFYL4s0drj/zBcJwTVk7\nbD/zH4m9JcNyjVRWnB4dYVkqx48OuHL1Mq7j4rkOV65cori0hyCK8MxNYlWlzHLm6zXet77FnRvX\n2dnZ5cH9+2yNN1CNF+j80z8Tfe2rbL/1E4a9LnHgo+oGoiiyWq/IigqA8XhMMp9zPjmkMiUGqsvR\n1MfOT6izGVJ1RhxriKKKIOhsbUm4rsF6rdI0EIYgihq6nqOq0DQqVfVrvkCtVqvVav0StMXXn4Bh\nVFTVEs9LH3eBhqrSGQ63GAxGJElKGAosly6i6LBeCyiKSpwJzNYVsneDZQiT2ZymhmJ6zuz4BK/f\nBU2j3+vxzK1n8Lod6qYCUpI05vj4kCROgJqHDx8wnU6xLIvNjQ1sy2I+m4DQEMYxb73xYzyvQ13B\n/sNDjo7PQVBYryekUYqt2Viqxmw6RWwabNMkliUa0yavbPpdh82+TJVEdDoWuWwBJjs7DWdnb1FV\nJ6hq8d45URQIghW+v0KWL/bri+JF0NhqtVqt1mdVmzH6BAShoqpywjCkri0sq0eayohilyyLiKIC\nz6sRBB1Z3qIo1igK7G1bJElCkiSImoOhRPhnb+BaCbPVkv9weEB3PsdfnbM13ECWZPw45vKbd6lN\ni+cePCJ85y4/3t6m2+2gayqTyYQ9UcC2bOqmwdQNDMtiMp2xOj8nCEL2LIdJVqDrBmERIkgCcRKj\nKAqOblIkCYvFgue+/GXmucg6KyiPfJJwje7Y6JLCPFFJFyqdToIkrTEMlap6vwirLMG2PZqmpixF\ndP0ii9Y0ImVpfGjGXKvVarVanwVtYPQJ5LmK5/WAGEURqaozTFMhjhVk2UKWTdJ0ynw+4+rVIbZd\nMp1OUBSH6TpkZ6/B1BXKvEFyK4QsJ12uiLOUruuhCSUiEnmak2c5kiBycHCAJEvs7e4yDH2EMCSO\nE7I8o3RclH/4BzquS5zEqIrKVxSFStMYffe7SJbFU2+/AwgMm5pGFLFtG0EUEEQB3VKQmobDu/cI\nioLxzhXmmU+jaFj6GD+F6QpujkZE0SGgAw5ZJiBJF5mhuoY01QBQ1QZZ9qmqmKKQkWWTsmxnp7Va\nrVbrs6ddSvsERFEgzxWqSkKScmazBUEwIU1z0jQmzwVcV2V7W0EQCvJ8jaZFdF2dL7z4LHnqUyQr\nkDTG/T5RmmI7NtOXXuIH21uUX/9f+dGlHf7R0tFUjeSPv4bnuVT/6esURcl3RiOmv/u7fGc05P7N\nm4iiyHcGfeIk5uSFz3H8hRc4evFF5vM551/6IoIg8NrmJneevo6jqazXKwzTIPADkGB79xJur4+m\nKgxNA6mukHSXfr/PfDpDr6dcHk0Rhj6SFGKaBoYxQNc1NM1H12coio8sCzQNmGZBVQUYRka/ryO3\n4Xar1Wq1PqPawOgX0LSaopgjigFlWbFYwNWrlxgMrmFZDoJg43kCcTxH1wVUVUCWZUSxYP9wQRFP\nWMwnqJKCJFsc5uCON9i6cgV/seDO7dtMz6dc2bvC5259DrfjslrPMU2Lui6I45jjwyOWsznb2zsM\nR0MEYDAY4nkebn+AIAjM5nMsy8SxHbIsYXt7m/F4TFEU2I6NSIGkSMiCzOT4lGB2gqaqTOdzgqLE\neG4XWbXxwzmDQZdgMUEM3yIIjnFdnaZJUNUFRZHi+yvKskBVa2QZ4ji56OBdKARBRFUtMYx2Tkir\n1Wq1PnvawOgXEASoqoosq1AUD8/rEQRLynIO5EhSA6xRlDVFMcUwKuZzgW73BpvjIctVRtfI6bgi\naRahUGNaDkWW0en2uHXzJvPFlEdHj7B7NnGSkKUZa9+nrhs0TecrL79Mb9in0+kgKypBGHDtqaeI\n4oQ7d+5S1gK9bpfRaAPdMMjzkqOjQ5IkoShywiAkzi/mpwmCwOxsgiooqIaB1+2hVimHh4cURUa3\nN6ZEp9MfEEUp53HB5qbND3/4OooSYppdut09PM8iz300rUKSDMrSwTBGmKZBEGRAu02t1Wq1Wp89\nnzgwquuaP/zDP+Sb3/zmp3k8vzaadtG48GdlmYhpDrBtl6oqMIySMJwTBMfUdYQsF9S1iCRpJEnJ\nalVi29u86Q+4d1pjqRU0NdPJlA27JosCluslcVFwNpti6AqOZeNYNkmUIAoNluUhSzK6bvDw4T5v\n/Oh1Aj9kNpuxv7+PKIpMJufEcYxhGHQ6Haq65vz8nDt37tDtdOj3hxRFgeN2cF2bjm2jKAqe55Fl\nGbPpBElR6ezsEMsytb9iqsTIusOD8wazf4udp19AUoesVjWO06GuLdZrhTBUKYqCNE1pmoIkUQGX\nPI8oy4jt7S5FofzqL2Kr1Wq1Wv8/feJqkL/5m7/hjTfeQPgt3I+taQJ5Pn/cZbpHmr7/GS+6YYuE\n4ZyqqqhrgX5fZTjc4Py8JIoyqspDlvew7SFpKgIqcR3w5ZsVmqyRFzAYOMwXM7qbJuQFjmli2jY/\n+fEbXLl2GcMy8Jc+ZpxSFAXQUFU1e3t7KM/dYrVa4XkeQeAjyzJ1VTIcDIjGI7IswzAMRFHAMAwa\noNftcnZ+wmo5Z7VeY0sqZTYjCRVuPnOT7mzGsZCxSkvsjTGblk9WGZSFQNeoCVaHaJKH6fZ5fTlm\nd+cap6cSug6WlZIkGYOBhizrKEoG6ERRwHodsrXVoyxBVUGSCqpKIc9/LZe21Wq1Wq3/KZ8oY/Tt\nb3+bK1eu4Lrup308nzrxIz5x04AoigiCQNN8MPDTNIA1jgOuqxNFBbNZw/FxzXxe0jQ1UFFVDmWZ\nY1kFpiliqTFnx49YzE6gLlDJcdQSs6lJwgBJ1wnyHElTkUQJXdWRJRlRFIEKx3GZzeakaUYYhgh1\njaFp7O1dwvd9mkag63nomk4Q+MxmMwI/QFUUZFkmSWKGgyGKorM53max9PGDFK/ncT47J04jHh4e\nkq4fLkEAACAASURBVK5WdFUF2TAwhBLqgJ6ZkwcnZP4JWTFjaIfkeUS3mzIYHKNpx2hagiTJ+P4j\nFosTmibBsrbZ2blMklyMDhHFmOVygSjGbX+jVqvVan0m/MLAaD6f8+qrr/L1r3/9V3E8nyrTrFCU\nANP8YGFwnjdIUhdV7ZNlH/w3glDi+wlhKFAULk0zxHEuAX1sexdN01itpuh6wOnpKcfHdyjLc/Z2\nt/D6HlsbHlm65mw6J8tzTo6P0VWVMIyIs5zB9pBCKFgulqiaSppmxHFOWRbc2t9H1zW2Xvt3ru3v\n44cBq9WKsqwoipw4iTk+OCTLcgzDoN/vI0oSWZZxfj6hKAqKPMX3fcIgwjRcVFkiizOqpubSzi6a\nUXH68CHCwQHm+gzFy3hw7x4dR0bVXZ5/5imC9YST/AGeN6OqFiwW+4xGEmCiaTL9vkLTqKxWIouF\nQZY1j4NNFcu66KD98+bQtVqtVqv1m+IXBkZ//dd/zV/8xV/8Ko7lUyUIUNcpi0VE02QfymDkeUOW\nffjuXZYyntdDUTySpMH3ZeLYoigqHCfHshI6nZI813j22Wvs7nYxzYC3b+8zHu9weOJjGg5PX7vB\n1uYGoizi9npIikyhqQy3xuiqzvnkjDRJkSWZPM/I84wf7GwiNJD88R9TJTFZluF5Hp1Oh26vT13X\nuF2PW0dHjL73PfKi4Npbb9E0DZubm2iqdjFg1rVxHAdNU1ktV0iKhKqqrOczXEWjo8hE6zWT5ZJe\nf4hq9ygbhSATkWWTnpWiM8Uwcq5ccdF1kTzPkeUEQVCIIp08//BXKUlkBKFDknx4xdYwagwjQ1EE\nNK1B15s2q9RqtVqtX7ufW2P0t3/7t/zZn/0Zqqq+91zzGf3Tv2mgaQyGQ4m61j5xBqMsoSzfLySW\npIvMU5LMOT+f4Tg6oqhTFALTqcRyKbK93RAnDcsgpxIVFLPH4VmIIOWUisa9oyPGu7t4Dcwm53Rl\nm+2dHWRBZntng3hzwEbiMx+NWLz+Y+azOQ4CSRxTFAVmljKZTLiS5ey99Q5iXaNrGmmWURQF6/UK\n7R//Ec/zEDSFOIqR/+//i06nS0ND1dTIvS7Xf/IOflay/qOvceXFF1nlBefeBqtrKuOzEF2XCBcP\n0QyZ3d0dDg/uMx5vIggesgzL5QJNU1AUk6L48LlrGj6yA7YsQ1EEhGHKeNwjCEKKosQ0Bx+o72q1\nWq1W61ftFwZGf/7nf/7e4yzL+JM/+RP+9E//lL//+7//0Pv/8i//8r2fv/rVr/LVr371l3agvwxZ\nJnLRxfmjyfJFR+f6I1rwyPLFfDBRzFivfba2bIKgot9XqaqEuk6oKgfLGqNpNtbIJa5OaESNtCxI\n0yW2obA12sSwFMqmwV8uqZOUtVqhagqCCkVZ4ftr8iwnTVNcRaFqGhzXYTgc4PshVVVjmSYNDfPz\nMzTNIPqjP6LzrW8x+dKX2P7hDzn43POsipK9N9/AcWwWL/8upeeS5wWL1QL1zR+z+PLLmP/yz8yO\nH2HKMvloA7Wco8cBDSCUBacnD9je3kOQR7xdzBmUOYPBNuu1RNOkyPKQMJQ+8px9nKoCwzBwXZGq\nUhBF6XHbg1ar1Wq1Ph2vvPIKr7zyyi98388NjL73ve994PGVK1f4u7/7O/7gD/7gI9//04HRb6p3\nd0qVpfKBLIem1VRVgKqqNI0BCO8trQkCyHJMHEf0+zrrdcNyaSGKPQxjwuuvv8Zzz11jOlWoa0gS\nlXkqMYksHG2XrIjxuiMQGoI0YDk/ZdTv4y8W7I6HFGkBtcCdt+7iTpdUW3tMpwu4eh3Xc5nNpgS+\nT1FU9Ho9+v0eS9NEEEQG/SGCKFKoKoZhkKQJaZoy3txiOp2SJglNVVE3F5FLUVToqo5pWEybCtd1\nkUWRNAjRNY3T8ynJOqGrbaIqCpqsUmYpupmxvdUjTQRUtUZRJCzLIcskVLWkrmXq+iLo+UXZuKa5\nOEeCoJLnoCguiiKQpm1w1Gq1Wq1Px88mbP7qr/7qI9/3RDV4vJj+HrJaLR5vMf/p1yqSJKOuMyQp\nIMvmaNoH0yCSJCBJOq47QBAkmiZEEEQMQ6YsY3TdR9dDFOWUnj7HNE02+g62mhOuZ1RphiY0HO/v\nUxUFommBKODHPqqqsrm1iaZrdLtdsiwj8NfEUczVq9fwOh1WqxWHRwcIgojnOqzXa05OT0keD4Vd\nrVYsFkvKqqQsS8IwpEHAdl0W8wXL5ZrpdIqqaWRxzL279xAFEcdy6RsGdV5wZXPMlY0N5tUU27IZ\njoZESc7B/j0WqwLTNJnPfU5PTxGEEsdZU5YTdD1A03y6Xf9Dxe0fPP8XPzfN+5m5orio8Wq1Wq1W\n69ftiQqMmgYkSUXXVZpG+sBrea7gul1U1SXPK+q6+sBNvKpMHMfg7GyJIJSoaspicchsVrK7+2XC\ncASMMAyPKDrFEo8xmoA6OSULTymyOVQ+lSjw7K1bKJrGU5cvo8gKSZhQZiXDwZCmrlj7a1zXZTjc\neK9vVJok9Ad9REFiMplQVxWiJOG4LpZloasqhmniui6e65HnOavlAlVVCaOYphHJsgJBgLIoyfKc\nbqeLqqoUdUmervFPTkkCnzRdkxY5x6dnLBMVzeqztbXJsze6TOQu3a7JtWsbWFZDkiyx7RjHadD1\ngCCYUtch0uPTKwgXNVmdTo2qRuh69l7LhItM3K/o4rdarVar9Qn8T92W9vf3P63j+JVoGkhTFVnW\nPrRsU1WQJAq63mBZKo7jsFq9HzeWJeS5hCAIqCo0TUavJxMEKkHQf7ysFmDbS7a2ushFhWWIaE3N\nZDmj17GwbZPzKKbSBQLfh9UKuYwvBsdmCVfv3yMWRPZ+9CMk02Tr+98nLEs2v/dd8qah96+vMpRE\nFMem/OYrLFYrXMdBFEUuvfkmpSyz9/bbNKrKYrHAcV1sc4kgiui6Tl6kXL16CRCRH3fBDvfv03Nd\nluEasyxI/YDYtrmxdxPpLGWo25z4DUmx5uTkFEkuWC5jikLGNHvIcoMgaBRFSZZFuK5GWRrvtT3Q\nNAjDBYZRP35ORtd16hoUJSfLYgzDIUmeqBi91Wq1Wr+hnri7UV1DUTQfWwcjihmTiU9Zxu9lPUQR\nNK0BDExzRJYphGGNaXrYtktZVkBOUSScnh6zWs1QxIR4fcagZzHaGKAoCnGSYukakmlh7uyyfeUK\nntdla2eLMApp0pQsy1j9/h8QRTEPn3+eoiiYfuVlFEXl4XM3eXjrFkVRsvjdlxmORiCKJEnCwYsv\nEkURdZaR5RmrxYJ+r4vvry+KuF0bVdFYLn2iyMdfL1Hki7WsRmwIwpAkz+kO+tz4wueJogn//M6/\ncXT4ALHOEAUFp9OlES1OGoPhUEOWRSzLRhQFHMeiLA2CwCbL5PfOb1UJ6LqOJFm4bhfT9JCkjLKc\nIcsRYZgiCB+xpa3VarVarV+DJy4w+kWaRmM0UsiyGFW9mGOhaQVlOcO2p5hmTpYJeJ5KGK5JkocY\nxowkmVEUIuPxGNseIksimlgyn04I1wFJkrKxMWYaxpRRhJalTM/OOAtm1ELFcDy8qCsKgsddo2Hz\nte/TNA3DV1+lqkr+w/mM5x8dAHD5Jz/B6nYRxYueQtPpFMuyMHQdXdOxXZe6EVA1FVESUGQFRZGp\nqgbX7bIxHmPZNqvFijAMuXn9OltbQ6LFgvXJKXGS8tTWBqbtMF3lzGOVXNhA7Q4RjC2CoMD3p2ga\nLJcTquqE8XiDft9F08r3lsiKoqGqHLLMxvdVkkSmqkrStEQUdXq9LkWh/boud6vVarVaH9BWePyM\niz46BkkS4jjvPitgWSUnJ6e47pB+f4u6BklqMIyaokiwbY+y1JjNJAwj5ziv2bV0TEOgMHWSOKGq\nSjxKtFpgfnyCRIOlGEgdh/X+MdBw5cbT8OabTIscRVHpdDqkaYKqapyeniLLMtAwn8/RdY0kjnE9\nj5t375I2Dev1msuXL7P52mvEUYR37SqrtY/6jX/A1XXKqkBQZSTbwH7lFeTxkI03f0z1ozcY5RVO\nUdE/PaV5+feYGDATZXpIaFaX87WK6Tho8hErScXICkDHNEXOzibYdkMQNJSlgqZtvtf/qareP78X\n9VoWrqsShjKKUiHLCaJofKjreKvVarVav2pPVGD0brFvWf6iLeUWjmOSpheP0lTGsjbp9QR0XWW9\nXmIYKeNxn/l8TlHUGEYXUUwxjIYkKREUC9Ppsz8/Q0pEXM3m4cNHVHJBowj0+z2ksuTh6SmDfkHH\n7VDX8E1DR7R0vpgmHLzwIhvf+3cOX/w8t/b3efj8LZIk5Uvn57xz/TqLxYKbd++i6zr7t26x/YMf\n0O/3KcuS+GtfYz6fs3d0hCiK3Hn6Bptbm2RZTBwnPP/wgB/ubvP7iyVHL32Zo8MjQCRtCr54fI5+\nfsZ20/Dj8xU9+2mOHkWYtoPVpMgcYsgVTz2lkucx4/HTrNcLFEUAGopCo64VJAkUpXl8Dt9v3FgU\nDUUhI0lQFBHrdUy/LwJt5qjVarVav15P1FKaYZRU1QrD+Ih2zD/1niSZA/l7wVPTwGwGWbaJJPXo\n9wWaJuH4eI6mWVSVhiSlrFaPSNMFeS6zPzOJ5Ms4nRGq1sV0PGzbRLVdtnb3WKUpi+USua6psxxB\nEBAAURJRFZ1er4NpKqiqTBgGPHz4kCROkESRRw8fUtcVpmkiSRKL+ZwizxEFgbquiOOYpmmwbRt/\nvUKSJMabWxRFSacz5PLlK2RZxqC7QV3VlEWJYRoMh32eunaNNE648+abRLMZeZTiaSL9roxSnCOX\nx1zatDF1me/evsPBwRsEQURR9JhMFESxB3QJggWOk5JlC7JsiWEIHxrgW1WgKCa9nkPTqLRarVar\n9ev2xGSMLmal5cRx9njEycd99Io8L9D1AvjgzVoUK1arU6oqYzDw8P2EPDdRVY8kydA0jTyvGQ57\nPIOAKy8hq0GCrMgRRZmJv6SOQrbGY9ZVRb8/QJAqjg8PsYucna0dZrMp0+mU7PLFDjLX9RiPxziX\nLpFlCd1+D8l1efutt9mIYzY2RlSbm3hHR2Rpih8G+L5PVVWIooRpGIRhyGKxYNAfEEUReRgTxyl5\n3lCWJVEQYTkWTVfHMA10y2I0HtO94XEvFdlTDY6CY37840Nu3PoKG50+SRTQlxsEQaWuCxRlRZoq\nSNJFHVFVFWia9DiTdLGFXxQ10lQmvyjfIo5lBEFuh8y2Wq1W6zfCExMYXTQUNOl0ZKrqo7MTmiYA\nOq7bp6o+7matIIoNTTOgrtdMpzkbGymSVCBJGqJo0jRL7t5+h01rSK1aOFJG4C/pdzts7OzibA5o\nioJJlqOZJmVZ0Ov1sGyLSJEZjUZox0fous18PiNJEhRZJgp8NF2jLDJmkyl7ly7hLhaslivqqqKu\nKvwoQpZkZFkiTVPKx893Oh0URaHIMxRFYWdnG3Fzk+D1N0jiBMM2sCyLPI4RNJEbT99kulyQr30U\n1eb+o5S93TFoI2pjl4PFitN4D0OuWCwyVBWCAPr9BkVJuXRJoiyhqiTStCbLYhSlIstCJMlCFO33\nGjy2QVGr1Wq1flM8UUtpeX7RxwiEx0HQ+zQN8nxOli2oa+VDQ1FF8d1Za0MkaYfzcxFFcdncHBAE\nc8LwIaK4pqrOcBydS9smo76LpdakhYCu2fjrgMpfwnRKOJ1hKgpyAyfnpzhdG1mW8X2f4+NjqrJi\nsViS5wWSdFG7swrWPHh4gO147F7aQ5Zl6romLwru3r9P8Xhiq24Y5HmOKIpkj7fvr9cryjznndt3\nmM/n1HVDUaQYpkHHc+j1exwcHrA+miHmNQ8f7qMCYlPTt22yXklRG4y2LiGVU7pqgKQoPBSHuG4X\ny+pz6dIVXFdGkk6p61PSdIGq+tR1jON4eJ5JngcYRhsMtVqtVus30xMVGMHFIFhYkWUzPK/GMC6y\nHYLQ0DQNdd281/H6XYZRIkk+nlchCBVpCp5XkmVzoijEtk0cx0SWY5bLJXkukjRbHMxS5uuCTmeA\n7bkUZY64DlidnJEEPp1uh1oQcHSLNM04PDpEEARESUSWJUSx4cqVK2xsbJBkGTQio+GQo6Nj7t27\nz9nZGXmeo6kqysWEW1AUDMNgd3ePp59+GsMw0HWdp6/foN/vMdrYQBQlkiQGQWK1XDBfTHEcB0mV\nyLKMOE9Ig+BixlocU1QJW7vXmE6PmR2+ycG97zM9eZsb2z6zs4c4zpogeIeqegicIwhTqmrFlSsa\nabpCUVKaRmG5VACPNFXawKjVarVav5GeuMAIBOq6AWqaJmI+XyLLKWkqoGl9FKX33vBYeLc2KSWO\nE8py9riouCZJliTJ+vFOtz66riGKJdevb5GmJY08xOxfoVDGLOOGR+cV4+3LGI6HphnYvR5+UbKu\nSlRNQdVVRqMRbtdFMVXmqzl5cdEZOkkS6qqiKHJ0XUfXdWRZxnEcijzHsm1e+sIXiKOI73Y6ZFnG\n22+/zcnJCUmSEAQhd+/eRVUVrl+/DkAcx/jrJf1+D03TECqBZ248w+6NXbrbA3Zu7RJUNabjUDcN\nVZmSpDmyovDC07vcuLrHhify/DWFuZTR60FVXQywlSSVqjJYLivyvMYwRAQhQZYlNK1Pnre7z1qt\nVqv1m+mJqTF6V1E0qGoHRWmoqgrPa97bEfVRfXSaBhTFYm8PikJA10vqWgR0bHuDunYJggZBSDg+\nnvHSSx6rVULMNorSZ29TIfZzTNslrG2qOiIVa2TAHfRJz6folkGc5xhxwuHhIdtbW4yGfbQruygP\nHyFJEkVRsLu7SxCG6KLI548OyPKSozCkAbb/5V+ImobPTybooxGmaeL7Pn1ZQtE0kiwjiVMQl5RF\nwWAwYCoJaJpOr9vj6PABZ7MF3X6HcZHT3Rwj5GvSKCJbLjB2BljP77BVqty994hh1+Dh4RGb410e\nnOh4ckKvt0OWWcznGaap0TQyglAhSRbzeYgoykhSn7puEMX3h8i2Wq1Wq/Wb4gnMGL1bayQQRTJ1\n7f7cOV2yDKa5Zj4/QFFiNjY0dD1F02yKwiWKIEnAMHa4fHmX9Tqh04HPXS4oV7eZP/hXtHpBka6o\nEUhKiXVWsC4qytkcqcwJVxlCDoIooMoqRV4SBSH3Hzwia0SUb3yDpoHR977H+N9fo6mri1ljsszG\n7i62bXP44otomoajaaRpiiiKmKaBZdkYuk6Z5xRVxdnZObfv3KaqaoIgYblacnR0Sl40jPojup0e\ndVITzlfMZjPSIICyRCkDwsWc8+ND4uAcVSrpuyaKrrGzoZGmCUdHR2RZTdN4+L7FbBZgGDmSlHL5\nsojrSmhag6pGyHKAqgofe95brVar1fp1eOIyRj9NUd4vAhYEUNWLZbamAUEQKIoGRRGI44i6LihL\nn9Vq9ngZa0Bde4jixXy183MDXd+j05ng+wfsduDofEKVTRj2NTzTQG/mzMKI8c0tNDkj932qKCKN\nY5pKo1vWlEVBEicIgoKAxOp3foc7t2/ze8slP9jaZDjcQPnGN/jOcMj49ddR6prRxojuv36bte8j\nKQp1XbP52mt0ez2SNKWxLG7cvYtzdophmDyv6zQNPHv/AYKm8eyDfYJgxeb2Dv59n7Co2Pkf/07H\nD6lr6I424OQEdx7gofNMVWMWGesgpbx3hKwonM0Swhdf5vAwwzBMmgYcJ8cwUnw/IsscViuHbrck\nCGKqqsGyLD5pbC4IbcF2q9VqtT59T2xgpOsNRbF+PGLDRpZrsmyBYWgIgkia5uh6hyyDwaCL48hI\nksvenk+er4iiKU1T0+/bHB6uGI8NDEPEMBzWa5vpNMXpbmBqXWpBwFQFlr7PztjjJK+pozVjRaHR\ndIajERsdk+HxMfqtWxweHQICnueRZRmmaaDGAYosM5tPuTUYUGxucmk24/SLX6T59rdZvfwVzFe+\nSV3V1HXN8vd+D3N7m/q//3cWiznCf/nPTJIU85//mfUf/D7Df/sO0de+xuDfvs3xF17CD9awOaQS\nZZL/4/9k9fvPYHc6xHGG9uab/OjyZdS9PRbdTR68fsbVKzuUWCiyQhbN8L75LeJYYGtLJAzv4roe\nqtpwcnLGpUub5HkXUbSoKol+36YsFcLwkwVFpllS1xlgfqCDdqvVarVav2xP5FLahYY8LyjLAkEQ\nUFVQ1RRNy2iakiwrgBpRhMWi4OSkoSxFVquK09MIWVYwzRzfP+SZZwQcJ6Esz7h/f8Lu7iVcd8SJ\n30frbBNkKmGUoQsVeZGj5CGXhruYgsBkPsN1HPYPH/LO7Xe4e+cuSZQwnc5Is5w8z7Esi9VyjWYY\nSJJCEsfMl0sWiwWHh4esVitESUHTdPq9HoqiEEURp6enAEiywnyxZDKZIAgCYRDQcFGAnec56/WK\njtfh4OghWZLR7/cxDRPD0HAdh9D30VQVz/WIdZtr16+TFxX+7CHzyV0kucJzZU5rAccJmc0OiKIz\nLEvEdU1OT1ecnKzIMsiykJMTn6KoPlRjpKqg6/UHOmRfjA2JWSwCBCFH04T3BtS2Wq1Wq/XL9sQG\nRnkuYts9FKVDUTTkORSFgu+Dong4Tp88v2hSqOsuti0znfqoqoFlDXGcnfc6Xde1z/HxHWxbwHVd\nDg6W3L8/J8lS1nkHFAtRNln6PkUW0hyesDp8SB5FVKsVZZIw8Lp0u32WqyW9fo+NjQ0cxyHPM6qq\nJo4TZFnF8zw0TUMSRWzHwbIsJEmkbmriKOLo+JiiKBiNRiiKQhAElEWBrioMBn0sy8LrdBBFEUEA\nQRApywJJEul3hoiiiCRIaKrGZDpj6U8YjkbImk5WVzi6xrEaQxEgSTW6KiGJ0FQ1T+9pnJ0tuH79\nMq475O23EyRpD0W5imUNUVUB02zodg3gYsCsLINh5FhWAwSE4QxNe7+J1MXYEIt+30NRFLJshiRd\ndNFutVqtVuuX7Yn927uuIUnev7sWhYiudwGBIIC6fv+1NBWQJB0oKQqPpsmZTC4yIpubDkVRIkkG\nZekiSV3G45DpVGClu8hNQJiUqJZBfzBGJqUua5IG+obB9uXL7D94gKSq/MfdbbKnb5JmKXESs16t\nKMuCqmoQBIEg8Ol2XaCm0+lQFAXL5YKrls2R7yOVJaqqYtk2xT/8A2JZYjoO7nBIaprcfuc2w6pA\nVRUC38c0TZqmwbJsTk8nKJqIIyqsgzVRHLE5GHIwOSGpKnTHpkgS8kdv4ck2RZZhO31q2cSPEoZ1\nRpk+Yi0qbFs2y6WOrnvIsk7TxOS5zWq1IM8LhsMeQXARkytKzmq1xHEMFEVBliUE4YPxehxLgIEg\nVFRVTV1XH+o11Wq1Wq3WL8MTmzH6WVUFcawSx8oHlngsq8GyciTJRhQ7hGFDHENdNyRJyv6+jyyP\nMc0rzOcKRbHizp2HNA0EqcR8nSFJoGkGqm6RpjVup8/GeJNaUdBNC8O2cW2b/YMD8jRnMV9gOzbj\nzU12dnfZ2Bixu7uF41jIsoq/WhGEIYZh4NoOmq4RxQllUSBJEpIoMv3yl1l+5SsMBn2On32WMAip\n6xpTN5AbGPT7nJwckKQJrutgGBqWadPvWMiSjKRIpFmKpmq4nQ6m65KEIWkcYzYlVVMiqDaFOGC0\nfY0aieXSZ3drxO3bhxwd3Wd726RpDphMfoRpLuj1XLa2PIoiebwzDZpGwbIMJEkjyww0bfCBgPWn\npamEZQ0QBI/y4+cAt1qtVqv1/1kbGP0cFwHNnOn0PpoWUxQXY0FkeYQoXkJV9+j3N1kuFbJMR9cF\nXFfBNCWKokQzBygiVFVDlsVMTw8QhZQsi1ien+HHMamusXvrFo7rkiUJSZogyRLT6Yw7t+9wcnzK\na6+9xmy2pCguMiaaYTGdTAijCN00OT+fXGRbVJWNjQ389Rrf9x/XESXcvnMxBuSllz6PKAjkeUbd\nNMiyQqfjYRgGUBMGPmen57iuiyzIPHr4iEYUWa3OOZ3PKUQJp9Oh07VRPZGBI5DFPkFUYVkO3uAK\nq9Sge+Mq1651qOu7uG6GICSoao7v+4/rmjKyLEOWBfJcAFzSVKOqIM+b93af/exyWV1fZO/eHUDb\narVardYv2xO7lPaLCAJYFkCKZdUoykUM2TQXN+c0bagqSJKMTiek328IwxDfb9jY6BLHEpkaIQg5\nRRLRGZhopkRVZUiiSBEmSIVEHIaYms58vuDF0RbLQRctjDFNg4YGx3G4du0a2u3bBMGaosgZqirP\nPPsM8f17zOcz9CJne3sLw7ZZLpdUzcXSW5qmNE3Ds88+S5HnhFGMGMeswhA9ChkOxziTKQ+m55Rl\nQ7c7JM8vskRVWdHxOjx9+Qrl668zUlXSvgaqSpOmHD96SLXIELRt0tWcxTqiFkRkYYK/EqjSFet1\nxM2bm/T7/cdDYzMEQaTT0REEmTAMMAyBorAeF1WnZFlJVVkoSklRxGia9XgprdVqtVqtT5/QNL+c\n7jCCIPBL+lUf67/+16NP9ff/NNMsEUUfXU8AiSTZJIqaD70njpdculSzWj1ga8tjuRRJkhTPE0mS\niMx02L3sYTQ+8/N9nn5wm57dJUozChKyLGG0u8v07AxTlhHrHFWUkSUZ27apqorVcoVpaojiRYAw\nmUwZjTYIA5/+YMh8NgNBQNd11us1lmXieR2CwEeSFRRZ5uT0FEkU0TQV13WZzWa82xLAtk3m8yVx\nHKHrGpbtUFc1iJDlGZPpnO7mFie/+zJVXVJGEUmU8vnZHCk3WK9XaLqDoPeYTibMZwm2Y9DVBO4/\n9TnOznL6/R2axqGqSiaTEEXR0bSMNPXZ2NglDCPW64CydPC8ARBzdhbS63kkifGx10kQwDAqoCLP\n1XaJrdVqtX4L/Lf/tvOp/x8fF7e0GaOP0TQFYZjz7g334gYMopjSNBJJopCm8uPdVjOSxCeKVFS1\nj+P0aZopsmwRCw5FbdHruGyIOdVbb7H4L/+JLK+I6wVlHpOZFsGzGbvf+hbH/+EL2KbO8NvfvzQF\naAAAIABJREFU4e0bT3F+ck7n0i5X3/4JPxyPcJwOl8KYgxeex/t//oXbT12m+6Uv4QcBuz/6EVEU\nYZomZ1/8Iq+++iovHBzQ/OevU968SdU09F99ldvXnuKpquLtp54i/da3OXjhT5h3ztjc3Ea2DepX\n/pXXL+1x895dzl/+Epvf/QHUJYOuR5YXBIKAqGicPjhg8swXyJOE5+69xdFX/hfWUYSiO7xy2+B/\ne/C/I4pjPK9kPi9omglF0dDpdNE0h6qakqYSYbhkNovp9TwUpctisUYUS7a2ekSR+nOvkywLxPGa\nPC/wvD5l2X6lW63/l7372rbsOg/8/l85p51OPqdOBaBAgBQgkSLhlin1aIdhDbtv+rL7GfREegPf\nuIctDbXabiWKoqwWwACACJXrxJ1Xzmv54hQpUQBFEJJss7B+l7v2Phc11xjzW3N+YTAYfHFfyl1E\nlm+SrT/rgEtRQJYbRNHAcSSgRZalF/O9NmRZhCQ5KMqYquopSzg7U5hMvkLfC1xc9OzsuCTJEttW\ncMYGQnHO2dOMsW8QJTXho4eIAqRSwe7YJYxDVD/AsG0E1UaUZBRZIY1SDMPA9jz6rmM8mtA0Naqq\nUjcVoqJwcX5Fnpf0CAjwonxfYr1asbu7gxeGPFpvSZOEW6cniIJAR48kiozHI2b7ezwTBcbjHfq+\n4+r6GocWQRYQJQlVVpFkgVUUkUUxHz98wK3jY9A1XMel9mxqrSRLlpB+iNI4dJ2CVK14sF7R1kv2\n9o4QBBVBqCnLGFE0mM8jBKElCGZ0nYXvV9S1SZIICIJI28qUpUpdgyjerNVnrVfb9hiGhabVtO2X\n8nEeDAaDwT+jL13ytaZ1CEKErpc/00gQbq5lJCklDFf0fUEcqySJQZapiGJHVbWoqoRtOzTNzS59\nc3XjUhRTimKKbe+TZRqK4qKqOlkasV0vaPI1mq5x984x06lHVWUc7OyTZCUPnj0jcGzEroeqIl5v\n6JoOwzDY29vj6uoKRVGwXI2qzui6iqau0DSDvcN9qrpiNB4jSiK6rrNer2m7jt3dPTzPYzab4vk+\nnhdgWhZ+ELDZbnj8+DFd2/HgwUOiKEIQRFzbx7Yc+ranbzquzq9QRIWxG6CIAq/cvYsmy6ziCEPt\n2bLm7Pk5jmPR1QkXz36I3iwJvATfaND1mmfP3kVVV+h6RN+XKEqLYcgIgk0UeSwWMkVh0rY9bdsD\nPo7j07Yh43GNpiWfuV7wk4Rsjbq2h6TswWAwGPyTfekCI0FoSNOcui4+tdH2PYiigqoq/OQw7eYz\nkOUK2xax7T3C8O9K+hUFVPUm8ToM1whCT54LyLJCVRUoioakTLDcEatVyHob8+TRU6ajgGSxIa3h\n9TffYluWzOMIRVHI4oQ8y3n85DGmadI0DZKs4dgGk/EY27bpe5H1ZgUImIZFmiTMr66xbZsg8PBc\nl6YsuL6+Jo62jEc+Dx48II4iFvM5bduxs7ODqircv/8Kfd9TVQ113ZBmOYZuoKoqPT0iIsurOeur\nC8Smoa9rpraDIQokaY7nuZi6Qd2KHB8fUvUGxyd36dUpi7JDEEDXM7bbOWV5Td9vKYoKx7FpGnDd\nBtddA2fMZhWy3CMIG/r+mq67pqpi8jxFkj67eVHf86ku2oPBYDAYfBFfuuRrWQZFqel7+TPnboki\nSJJA0/xd2biigKZdk6YLptMDttuAqrr5ruNkJEnC8bHMer1ClifUdYBhPCWO1xwc+DwrFL5yr6Er\nI+59/7s8/upbSKrKxcWc1NN4/Y3b5G3L4R/9EYs336QvS1754AMW82tc1yOKI1zX4frqAsPQb66O\ndAN6gb7vUFWNtm14/vwMx3FQFAVD1+n7nqZtURQZ23Z4/Oghhm4QjMcsl0ssy8I0dUBgvV5hmhZp\nmiIIICsquq7TtA303OQu2TZ5WVHWNfZoBKpKk9XIokBbCkRZj2lZ1MoeVW+TphFRVBPdvYtpKtR1\nQ553CMKILJPo+w7fN6iqnKqKb+ayaTayPKIoKjQtQtNsFEUhDG2yTB4GyQ4Gg8GXwP+XyddfuhOj\npuFF4vRnnz50HdR1/zMbcNuCrtuoqsp2myNJDYoCQZDRtisMo6ZtK6pqiesmSFJLmjpY1h5FMUE1\nHYo8J88qiqoCSaKuKl65dxfPtrh6viDfbDE0jbPVClFR2IQbwm//Npdf/zrqv/t36LrB9nd+h/Tf\n/PfIssqjr9wnzzP+kyrz0Sv3CL/9bcbjMZqmoSgK7985Zf1bv0XfdTz92q/x/f09vP/wH/CCgMW3\nfhPPc3nv9ITtdovuOliWw2q1xvNdTEvHCzw0Q6PtWjRDw3EcmrZBFAR810U2TTBM/uvdE967fRvX\nc1j99v/Euydf5eH9V3n61ptMfZOqdvi4u08YKuS5iuPcRZZ38H0dwxAIw+ek6QbPm7Kzc5uuM8jz\nHlX1sO0T2rZmva5oW2kIigaDwWDwL+5LFxh9EV0HUWRhGKeo6pi+l9H1mqIIkaQK2zZQFB3T1Nhs\nQmQZqmpM100RhAyxOifebtBsD0U1qfOcthOI4wRpXVHmOUUY0lYVqmVRNA153aJaOqv1iifPnrBa\nrtib7aPIApaj43o2nu9wevs2dx8+wvnTP8HwXXZ2dmiahqZpqeuaOE2pqxIEuJ5fslhcc35+TtM2\nzGYTqqoiXq/44ckJ7x4dsPjmbyIIPQ/f+ApJkXD+zbeIsgjJECl/93/k6Vtvcfn22zz/X/4ti3//\n73FHIxJktnFLjY3jBwjNhmr5IW3ynMO9ElOt8TyJvhdJ0xBZfsx6/RTPE7AsB9e1yXOVONZRVQvL\nsmmahraNybIKQWjQNBFZZhgFMhgMBoN/UUNg9DnoeocsV6SpQtOotG2EZdWoaonn6azXFaIoYRhT\nVNVHVRscp0SWQ7bbDXESImsOk9kxomaSVxW2CUWxxlAbdn2XketSty23jo+xgoCd2Yw4Smi7Ft/1\nEQSBNEtBUrm6vGSxWiJJKpIksZ1f8c7BAfM33+Li4oKyLDg42CfcbJBEAVXTcDwf23IJ/BH37r5C\nUzeUZY3jOsiSzPHxEb/+1luUZYkkyUTba5qyQZM0FE2hF6AoS+oy5+GDB5h5RnN+hqvp+IFF5sus\nCgdJuUk4D4wWRapwpC16d86fPVgQBAKTSU4YXuC6UJaQJBZ1rbDdbjDNgqurmLbN6bqYzWaJbetY\n1oSq2hIEa4IgQ/3HK/gHg8FgMPjChvrmX0CWoWliqqpkNAqoKoE4LnAckdWqRBRlPE/m+fMNqgqe\nJ1AUjzAMla6TmU5tvjJ1+MsHC6r+GV+JS7bhBlUTcU2Ty8sLGrVHM0wkWSb4gz/g+vqaZRCQlDV7\nR/tIvUAlwfEPf0DbtRBMEf7mBywkidtJTCHLvHV2QfPkCabnUZYl9g9+xDhN0Hd2cd55h7wokESJ\ntG2Q/uN/RFUV7nzwY7KqIc83BN/5DggCDx9+QvPKK5imi6Io5FmOJVt0Tcf12Tmu5yLbLtl6w2K+\nIEoidnd36VUT0w4QxA4UF9sWMJWavFjylTs1grwLFFxdXeC6LpZ1ymrVYxjti+TsEs/LuH9foG01\nqkphu21IUxNFURHFDfP5JYoSoOt7VNUQHQ0Gg8Hgn99LHxiJ4j+tYqltYTTS6fuQqgoRxYCDAxfD\nqFCUPcpSp6rAsjokSUVVSzabNYpi0PcGZSlxfp7iGCp7+/uYzyfceeU+SbxEUw0msz0USWIRhvzt\nbMat42OyqmK8f0gwvyJvMlaLJZO3v0UsiBiagf+dvyD+1/8a78//lLO3vsabz5/x7uEp19dz7n/y\nCY5j86Nbt1AUmTsf/Jj3bp8iSwpVVfHr52d8cOc2Jz98j8W33mb2199D6RWWb3+TrhNQf+2rbC2L\nOrzEMi38SUD0txF919PWLZqso8oCuiwRHB2Q5CNWUUS5uoTfWVB/tOX2nstmdUm0WZGXLVm8ZXfn\niKfLCqPZIEkjiqKk72tWK4GdHQdF2bBaXZHnLYqSU5ZTFGVG24rEMfh+gOuCLGtk2U1Q9JOTo7YF\nVa0BgaL4dIK2rveIYknXaT83t2wwGAwGA3jJAyPD6Oi6DEkyybIvdmsoCFAUFWnavTjV6CiKBYtF\niuNMKQoPWW6IIgHfrwANTTtAVWVWq47xWGK5XNN6MF+t2e0gKmToBOKiQRA0WtEEX0TOZMKsIM0S\nzsULNFFE7BUsx2J/f5/333ufPMm5l2QcvvMurWFjvvtDEt3g9L0fsl+1JG1LXTccvPMOoiiyAQRE\nZrMpjx49QpIkptMZYRiyXMwZtx1ZlnF1dYmuW9R1Q98LjP0DovBjyqRkZlvUZc14Mma93aDKCnVV\nUdU1uuuiyDKO2ODGSx4+/gjxYIRp6GiGTRAoFL5DUT8nFESOjm4TRT2PHj3m6MjllVf2KcuGunaQ\npBbfF8hzHUGQXlSu3azDdquiKLukaU/X3QRFdb0GwHF8VqsNiiKhaRPKsv+Z9YOM5TJmPPaAnz9e\nZDAYDAaDlzYwutkQS9brhPFYQBCsL1TV1HXQdQaWNUHTTKIoQVEEdndVigJEsUeSRMbjhjS9Is9d\nZHlE04yYTFqapuXoyGbeLsiWC/R+gSGVtIrGcrmkRWNnV0NLFMTplE5sSZMItyyJi4Jou0USIR3l\nOI6DqqjE/+1/Q2da7P/N3/LXswmvP3rM8zffIkkSfuPigqLIWf+rf0WW5zi2zb4k0bQ1r7/+Gu2f\n/jmr1Yp7OztoBwd0H33MZDJh63jUdU2WZciyjO/LnJ+ds7m+YqesoL8pbeyqmqrtONzb57t/9T28\nvV12b91C6zqMpuCNtw4gqZAUjarp6bKCri25Orvi+lpg6Tnct0acnPhYVkeWPeXBg5g33vgaWWZh\nWSqiKFAUN5V/fS/QtjfBUFV99gJ2nYjjGIBMXf/sd/oeZFnn5KRGURTKcuh5NBgMBoOf76UNjG6a\n/mlMJh59r/+TSr3zXEZRbOpaYDyWaZoWQdDYbjs0radpCqKooG0Fuq5GkgRM8zFFcYXn3aIse+w2\nodEqri6vye9eo+see4cniKICAlzOL1m0HbePDtk5kdElGcItvm2TZhlVXXN465AqrW4qyeKYLMuY\n7e2yX1ZsbANVVdBWKxRF4rquWK+WCNwEiWWZU+Ql7XaLZdl0XcdiMadYLRAlEVm+6TMUBAG2bXN1\ndcnJ/gHG7j7902fYjkVTN0xmEy6vr7mcz9k/2Ofw7l22acZ2uaTfztlEBX0FgTfCc2y225AkKdg5\nvsv+qx5//UOZ9XrN3p7F++9/wr17E+7e3SWOK+p6QVUV5HlHUezgeRKbTYJhWBSF9jNrWFWgaWNE\nEdo2R5YFJEmlbW+u1v4+QRCYzxcIwhLXvUcUDXX/g8FgMPhsL3VVWlmK5LlBUQiIImia8JljJX6R\nm6aPKU2zoutKLi4SmqYiCCzqWkAQJNrWJQhuo+t3cByHMLzi4uIRsnxNVa3J8wbH22E29nEMg9Um\nJMkynj07p4xWnB5O+ProlDQvqJIEQ1EQJQlJknjy5AnzxYbHi0vON+csNgvOz89p+5Yqr4iiGEmW\nWK3m1HWJLMtUVY3vBy9K31u6rmM8HiPLMkkSE0URlmWzt7ePbdk8ePCArmuxLJM0TXBcG8d1ECUR\nVZFZLdbUTY0oiTfJ1pJE1XVstlssQ2fkugAImobvj5hHDWXTI6ky3mgHzdlhkY24dwqhDVm25uho\nl6YZs1yaSJKAbXd0XY3jOLiuT9NAVdX0fY0kgeOAYdTI8k/Wt6dpboK+soyI42tEMfnUGquqRBBY\n2Lb501Eug8FgMBh8lpf2xOgf0vWKJAmxbe+nybuf182pRENVNbTtmONjgeWyBBoAikJFUSasVi1V\nFaFpKnfvfo2jownzeYyuGyiKxjZVKFuTq+UWx50iSQZjN6UsY84uL9k/fR3PgUcPrpmZJlkYoikK\ns709Jnv7dHs9YRZzgstkMmHW1Jz1HZvNGlFUmE5n1OeXLJYr8tkOVVXheS51XVFVLWmacjIa0+7v\nsH98yPVIxbREbMvmaLbDdDphuVyT5wVN03J9fc3F/IJ9WSLLUoqyQMok8qZi6k8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HAAAg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R6NqW+WJG03Topo2iyOiyhoBIkZUE4YbdbsOzZ1+jbRuWyyWj0Qhd1wjDEMfx8Hp9EDp8b0oQ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\n", "text": [ "" ] } ], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see how effective the samples we have drawn will be at approximating summaries of the posterior distribution (for example the posterior mean), we can look at the autocorrelation of the samples. High autocorrelation would mean that the sample average that we take to approximate the posterior mean would be higher than expected if we had taken independent samples from the posterior distribution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.acorr(x-np.mean(x), maxlags=100, lw=1 , normed=True);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EMahR5hTVDn9ryDZzxqBGmV9Ve3UCJoY5YwAAOSaMAQCkSBiDGmLuUG3z94dsMmcMakgW\n5jDlZX5V1vZR6e2AyjFnDAAgx4QxqHKGphiOdgHZYZgSqlzWhs3yOKSXhX1M5HZAeQxTAgDkmDAG\nAJAiYQyqkPlAjIX2AukyZwyqUFbmImV5npQ6mT8GlWLOGABAjgljUEUMN1EubQgmn2FKqCJZHv7K\nQ9nUyfEXxsMwJQBAjgljkHOGlZgI2hVMHsOUkHN5G/7KctnUafh1gdEZpgQAyDFhDAAgRcIY5JD5\nPEwm7Q0mljljkENZmFM03u2yXDZ1evd1gVOZMwYAkGPCGOSEoSKyQDuEyjNMCTmRtWGs8W6X5bKp\n09jWBU4wTAlVTC8EWaZ9QmXoGYMMy3LPyXi3y3LZ1Gn8+4BapmcMACDHhDHIIMM/5I02C+NnmBIy\nKA/DWOPdLstlU6fy9wG1yDAlVAk9C1QD7RjGTs8YZETeek7Gu12Wy6ZOld0H1Ao9YwAAOSaMQYoM\n6VDNtG84PYYpIUVZGI6a7O2yXDZ1mrh9QDUzTAk5o7eAWqTdw8j0jMEky1oPyGRvl+WyqdPk7AOq\nTSZ6xvr6+mLNmjWxadOmWL16dezbt++UdY4cORK/93u/F+eff35cdNFF8dBDD1Vi1wAAuVZ2GEuS\nJJYvXx7XXXdd3HrrrXHXXXfFsmXL4vjx4yXr3X///fGRj3wkvvWtb8XKlSvjtttui507d5a7e8gN\nwzRwgs8ClCo7jG3bti26u7ujtbU1IiLmz58f9fX1sXnz5pL1ZsyYEStXroyf//mfj40bN0ZjY6Mw\nRk3p6OhIuwiQCT4LUKrsMLZz586YO3du1NXVFZfNmzcvtm/fXrLeLbfcUvJ4xowZcfHFF5e7ewCA\nXCs7jPX398e0adNKljU0NERvb++I2xw5ciQGBgbi2muvLXf3kGmGY2B0PiNQgTBWV1cX9fX1JcsG\nBwdH3eaRRx6JjRs3xtlnn13u7iHTDMfA6HxGIKLu3VcZ3cyZM+OZZ54pWTYwMBCzZ88edv2urq6o\nq6uLq6++etTXHfptqbW1tTgnDbKuvb3dt30YI58b8qSzszM6Ozsr9nplX2ds165dsWTJkjh48GBx\nWVNTU2zYsCFWrVpVsu6rr74ajz32WPzhH/5hcdmxY8dK5ptFuB4N+ZaXaz1V4/Wr1Kk66gR5k/p1\nxlpaWqKxsTF27NgRERE9PT1x+PDhWLp0abS1tUVXV1dERBw4cCDWr18fV111VfT09MS+fftiw4YN\nceTIkXKLAKnzjR4qx+eJWlORK/D/8Ic/jHXr1sXll18eu3fvjttvvz0+9KEPxcKFC+Puu++OFStW\nFK8xNtRv//Zvx1e/+tVTC+UbEjlTjb0T6pStfdRqnSAPym2zbocEFVDt/xDVKf191GqdIA/KbbNu\nFA7jZCgFJp7PGbVAzxiMUy31TqhT+vtQJ8guPWMwyXxTh3T47FGt9IzBGNV674Q65ats1VonyBI9\nYzAJfCOHbPGZpJoIYzCCoQd7t2yBbDn5mRTKqAaGKWEEWRiOyfpQkTplv2y1VCdIi2FKqCDfsiG/\nfH7JKz1jMETWegDy2DuRhX2okzrBZNIzBmXybRqqj881eaJnjJqXlW/yWe5lUKf096FO498OJpqe\nMRgn35yhNvisk3XCGDXF5Sqg9gz9rAtmZJFhSmpKXoZV8lA2dcpH2dTJ8CUTzzAlvAvfhIF3clwg\nS4QxqpLhSGA0hi7JEmGMqiGAAeMhmJE2c8aoGnmZq5K1faiTOuWtbJO1HZwuc8aoeb7JAhPBsYXJ\nIoyRS4YkgYl28tgilDHRDFOSS3kZ5jBUlK+yqVM+ypbmewHDMUxJzfDtFEib4xATQRgj0wxHAlni\nzEsmgjBGJp08yAlgQFYJZlSKMEZm6AUD8kowoxzCGKkSwIBq4yxMxsrZlKTK2V/p70Od1ClvZcvj\ne0F1czYluePbIlBrHPcYjTDGpDAcCdQyc8oYjTDGhHJWJEApwYx3EsaoOL1gAKdHMCNCGKNCBDCA\n8jgLs3Y5m5KKqJYznrK2XZbLpk75KJs65fu9IB+cTUlqfHsDmFiOs7VBGGNMDEcCTB5zymqDMMZp\ncVYkQLoEs+oljDEivWAA2SSYVRdhjBICGEC+OAsz/4QxBDCAKqC3LL+EsRolgAFUL8EsX4SxGmMi\nPkBtEcyyTxirMUIYQO3yPyCbhLEa4JsQAEP5v5AtwliVMicMgJEYuswWYSznhn6IBDAAxmqkYCak\nTZ6KhLG+vr5Ys2ZNbNq0KVavXh379u0bdr2HH3441q1bFx0dHfGZz3ymEruuKcN9SIZ+iAQwAMox\n0v+Uk/9zBLQJkpRpcHAwaW5uTp5++ukkSZLk+9//fjJnzpzk2LFjJett3rw5ueKKK4qPV61alXzp\nS18a9jUrUKyqsXbt2uLvQ9+Xk78Pt+x0fq/G7bJcNnXKR9nUKR9lm+ztsly2NOs09P9TrRv6voxH\n2T1j27Zti+7u7mhtbY2IiPnz50d9fX1s3ry5ZL377rsvPvaxjxUfr1ixIh544IFyd597w/V2GW4E\nIOtOZ3hTT9ppKjcNrl27NvngBz9Ysmzp0qXJmjVrio/feuut5Mwzz0wef/zx4rJnn302KRQKyRtv\nvHHKa1agWJkw9FvDSL9HBr7dVMt2WS6bOuWjbOqUj7JN9nZZLlte6nQ6/w/zbGidx6PsnrH+/v6Y\nNm1aybKGhobo7e0tPn7zzTfj6NGj0dDQUFx27rnnRkSUrJc37/ZNYKSxd71dANSS0/l/+G4jRdWs\n7DBWV1cX9fX1JcsGBwdPWSciStY7uc6JQDn5TqdLdbjGMNIQorAFAOM33P/RsQyF5nmotJCUmYbu\nueeeeOyxx+K73/1ucdnVV18ds2fPjoceeigiTgSus846Kx577LG49tprIyJi9+7d0dLSEv39/XHB\nBReUFqpQiIi1Q5a0/v8PAEDaOv//56SOsjqX6sosTSxatCg+97nPlSz7wQ9+EDfccEPxcaFQiNbW\n1ti/f39xWU9PT8yfP/+UIHZSkrSXWzQAgAnQGkM7iQqF8kbEyh6mbGlpicbGxtixY0dEnAhZhw8f\njqVLl0ZbW1t0dXVFRMTNN98cX//614vbPfnkk3HjjTeWu3sAgFwru2esUCjEE088EevWrYvu7u7Y\nvXt3bNmyJaZOnRpbt26N5ubmWLBgQaxcuTJeeumlaGtri7PPPjsaGxvjjjvuqEQdAAByq+w5YxOh\nUCikNrEfAGAsys0t7k0JAJAiYQwAIEXCGABAioQxAIAUCWMAACkSxgAAUiSMAQCkSBgDAEiRMAYA\nkCJhDAAgRcIYAECKhDEAgBQJYwAAKRLGAABSJIwBAKRIGAMASJEwBgCQImEMACBFwhgAQIqEMQCA\nFAljAAApEsYAAFIkjAEApEgYAwBIkTAGAJAiYQwAIEXCGABAioQxAIAUCWMAACkSxgAAUiSMAQCk\nSBgDAEiRMAYAkCJhDAAgRcIYAECKhDEAgBQJYwAAKRLGAABSJIwBAKRIGAMASJEwBgCQImEMACBF\nwhgAQIqEMQCAFFUkjG3evDnuuuuuuO++++L222+Po0ePDrteV1dXXHHFFXHOOefEFVdcEf/5n/9Z\nid0DAORWIUmSpJwX2LNnT/zmb/5mPP/883HGGWfEnXfeGWeeeWasX7++ZL233norbrzxxvjUpz4V\nhw4dij/4gz+IQ4cOxfPPP39qoQqFKLNYAACTotzcUnbP2MaNG6O1tTXOOOPES61YsSI2bdoUb7/9\ndsl6//Ef/xF//ud/Hs3NzfGrv/qr8fnPfz5eeOGFeP3118stAjWus7Mz7SKQE9oKY6G9MFnKDmPf\n/va349JLLy0+/sAHPhD/9V//Fd/73vdK1lu8eHHMmTOn+HjGjBnx3ve+N37mZ36m3CJQ4xwwOV3a\nCmOhvTBZyg5j/f390dDQUHx87rnnRkREb2/vqNvt3bs3brrppqirqyu3CAAAuVV2Eqqrq4v6+vri\n48HBwYiIUcdOBwcHY8uWLfHwww+Xu3sAgFwbNYy98sor0dzcPOLzy5cvj/e///0xMDBQXHby9wsv\nvHDE7b7whS9ER0dHnHPOOcM+39TUFIVCYdSCw1AdHR1pF4Gc0FYYC+2F09HU1FTW9qOGsYsuuije\neOONUV/gk5/8ZLzwwgvFxz09PdHQ0BCXXXbZsOv/y7/8S7S0tMS8efMiIuLo0aMlPWsRUfJ6AADV\nrOw5YzfddFNs3bq1ODz55JNPxvXXXx/19fXR29sbv//7v19c96mnnopXXnklpk2bFj09PfGd73wn\nvvjFL5ZbBACA3Cp7ztjll18ea9eujU996lMxa9asOHDgQGzcuDEiTkzi37p1a7z11lvR3d0dv/Eb\nvxGHDh0qblsoFOKpp54qtwgAALlV9kVfK6W/vz9+9md/Nu1ikGO9vb0xa9astIsB5Nybb74ZZ511\nVkydOjXtopAhR44cibfffjumTZtW8ddO/d6Ub7zxRtx2221x5ZVXnvLcaLdZOt1bMFG99u/fH2ec\ncUbx5x/+4R+Kz2kfDNXX1xdr1qyJTZs2xerVq2Pfvn1pF4mM+fCHP1w8llxxxRUxdepU7YaIOHF1\niL/7u7+LefPmxbPPPltcPlr7GHPbSVL20ksvJffff38ya9askuXPPfdc0tTUlBw/fjxJkiT59Kc/\nnbS1tb3rc9SOP/mTP0l27tyZ7NmzJ9m7d29y9OjRJEm0D0oNDg4mzc3NydNPP50kSZJ8//vfT+bM\nmZMcO3Ys5ZKRFc8991yybt26ZM+ePcmePXuS1157Tbuh6PXXX09eeeWVpFAoJP/+7/+eJMnIx5Xj\nx4+Pq+2k3jN28cU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"text": [ "" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.acorr(y-np.mean(y), maxlags=100, lw=1 , normed=True);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In both $x$ and $y$, we can see that the autocorrelation is quite high. This is not a big problem though because the sampler is so simple that we can draw millions of samples to make up for the high autocorrelation.\n", "\n", "To figure out exactly how many samples we would have to draw, we can compute **effective sample size**, a measure of how many independent samples our our samples are equivalent to. This usese the same quantities that were used to compute the autocorrelation plot above. The following code is taken from https://code.google.com/p/biopy/source/browse/trunk/biopy/bayesianStats.py?r=67. You don't need to try to understand the function -- it's just here to run it, and this is a rather slow implementation." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def effectiveSampleSize(data, stepSize = 1) :\n", " \"\"\" Effective sample size, as computed by BEAST Tracer.\"\"\"\n", " samples = len(data)\n", "\n", " assert len(data) > 1,\"no stats for short sequences\"\n", " \n", " maxLag = min(samples//3, 1000)\n", "\n", " gammaStat = [0,]*maxLag\n", " #varGammaStat = [0,]*maxLag\n", "\n", " varStat = 0.0;\n", "\n", " if type(data) != np.ndarray :\n", " data = np.array(data)\n", "\n", " normalizedData = data - data.mean()\n", " \n", " for lag in range(maxLag) :\n", " v1 = normalizedData[:samples-lag]\n", " v2 = normalizedData[lag:]\n", " v = v1 * v2\n", " gammaStat[lag] = sum(v) / len(v)\n", " #varGammaStat[lag] = sum(v*v) / len(v)\n", " #varGammaStat[lag] -= gammaStat[0] ** 2\n", "\n", " # print lag, gammaStat[lag], varGammaStat[lag]\n", " \n", " if lag == 0 :\n", " varStat = gammaStat[0]\n", " elif lag % 2 == 0 :\n", " s = gammaStat[lag-1] + gammaStat[lag]\n", " if s > 0 :\n", " varStat += 2.0*s\n", " else :\n", " break\n", " \n", " # standard error of mean\n", " # stdErrorOfMean = Math.sqrt(varStat/samples);\n", "\n", " # auto correlation time\n", " act = stepSize * varStat / gammaStat[0]\n", "\n", " # effective sample size\n", " ess = (stepSize * samples) / act\n", "\n", " return ess" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 41 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can compute effective sample size for x and y." ] }, { "cell_type": "code", "collapsed": false, "input": [ "esx = effectiveSampleSize(x)\n", "esy = effectiveSampleSize(y)\n", "print \"Effective Size for x: \", esx, \" of \", len(x), \" samples, rate of\", esx/len(x)*100, \"%.\"\n", "print \"Effective Size for y: \", esy, \" of \", len(y), \" samples, rate of\", esy/len(y)*100, \"%.\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Effective Size for x: 965.576838143 of 40001 samples, rate of 2.41388174831 %.\n", "Effective Size for y: 982.422027936 of 40001 samples, rate of 2.45599367 %.\n" ] } ], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that while the effective size is only just over 2% of the actual sample size, we can draw samples so quickly from the posterior that this is not a major hindrance. For estimating a quantity like a posterior mean (probably not a good idea in this case since the \"center\" of the distribution is not very meaningful) around 900 samples is more than enough." ] } ], "metadata": {} } ] }