{ "cells": [ { "cell_type": "markdown", "id": "b0cea88f", "metadata": {}, "source": [ "Title: Parametric Classifiers\n", "Author: Thomas Breuel\n", "Institution: UniKL" ] }, { "cell_type": "code", "execution_count": 1, "id": "ab5e3555", "metadata": { "collapsed": true }, "outputs": [], "source": [ "\n", "from numpy import *\n", "from scipy import *\n", "from pylab import *" ] }, { "cell_type": "code", "execution_count": 2, "id": "16149aa6", "metadata": { "collapsed": true }, "outputs": [], "source": [ "coords = array(meshgrid(linspace(-5,5,200),linspace(-5,5,200)))\n", "coords = transpose(coords,[1,2,0])\n", "grid = coords.reshape([prod(coords.shape[:-1]),coords.shape[-1]])\n", "def G(a): return a.reshape(coords.shape[:2])" ] }, { "cell_type": "markdown", "id": "b092099e", "metadata": {}, "source": [ "Gaussian Densities\n", "==================" ] }, { "cell_type": "markdown", "id": "f241a512", "metadata": {}, "source": [ "Let's start by defining a function computing a Gaussian density:\n", "\n", "$$ p(x;\\mu,\\Sigma) = ((2\\pi)^{d/2} |\\Sigma_i|)^{-1} e^{-\\frac{1}{2}(x-\\mu_i)\\cdot \\Sigma_i^{-1} \\cdot (x-\\mu_i)} $$" ] }, { "cell_type": "code", "execution_count": 3, "id": "b555aa8f", "metadata": { "collapsed": true }, "outputs": [], "source": [ "def normal(x,a,sigma):\n", " invsigma = inv(sigma)\n", " d = len(x[0])\n", " delta = x-a[newaxis,:]\n", " raw = exp(-0.5*sum(delta*dot(invsigma,delta.T).T,axis=1))\n", " result = raw * (linalg.det(invsigma) / (2*pi)**d)**0.5\n", " return result" ] }, { "cell_type": "markdown", "id": "6f1499cc", "metadata": {}, "source": [ "There is a second kind of function we need, namely a function that generates random samples\n", "from a normal density. \n", "\n", "We don't define that here, we just use a library function." ] }, { "cell_type": "code", "execution_count": 4, "id": "83e004bb", "metadata": { "collapsed": true }, "outputs": [], "source": [ "from numpy.random import multivariate_normal as N" ] }, { "cell_type": "markdown", "id": "92651914", "metadata": {}, "source": [ "A Two-Class Problem with Normal Densities\n", "=========================================\n", "\n", "Consider a two class problem:\n", "\n", "$p(x|c=0) = {\\cal N}(x;\\mu_0,\\Sigma_0)$\n", "\n", "$p(x|c=1) = {\\cal N}(x;\\mu_1,\\Sigma_1)$" ] }, { "cell_type": "code", "execution_count": 5, "id": "c58d8d19", "metadata": { "collapsed": true }, "outputs": [], "source": [ "mu0 = ones(2); sigma0= diag([3,1])\n", "mu1 = -ones(2); sigma1 = diag([1,2])" ] }, { "cell_type": "markdown", "id": "64beb925", "metadata": {}, "source": [ "Now we generate two training sets, one for each class: $S_0$ and $S_1$." ] }, { "cell_type": "code", "execution_count": 6, "id": "a7ce87af", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.99086233, 0.65984265],\n", " [ 0.02339039, 0.50630836],\n", " [-1.15234377, 0.89216093],\n", " [-0.77827059, -0.02713438],\n", " [ 1.65490177, 0.15463286]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "samples0 = N(mu0,sigma0,1000)\n", "samples1 = N(mu1,sigma1,1000)\n", "samples0[:5]" ] }, { "cell_type": "markdown", "id": "6e983cd5", "metadata": {}, "source": [ "Let's plot these samples in a scatterplot." ] }, { "cell_type": "code", "execution_count": 7, "id": "20588716", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAFtCAYAAAAeUTF6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJ4SQiPL/AcdqEFV5a9MzAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(6,6)\n", "plot(samples0[:,0],samples0[:,1],'+')\n", "plot(samples1[:,0],samples1[:,1],'+')" ] }, { "cell_type": "markdown", "id": "136a6fde", "metadata": {}, "source": [ "# Parameter Estimation" ] }, { "cell_type": "markdown", "id": "bd00eeb3", "metadata": {}, "source": [ "(means and variances)\n", "\n", "If we knew the parameters $(\\mu_i,\\Sigma_i)$, we could perform optimal classification.\n", "\n", "However, in practice, we need to estimate these parameters. We use the usual formulas for this.\n", "\n", "$\\hat{\\mu} = \\frac{1}{N} \\sum_{r=1}^N x^{(r)}$\n", "\n", "Here, $x^{(r)}$ is training sample $r$. \n", "Remember that $x\\in R^2$, so $x = (x_0,x_1)$.\n", "\n", "The general definition of the empirical covariance is:\n", "\n", "$\\hat{\\Sigma}_{ij} = \\frac{1}{N} \\sum (x_i^{(r)}-\\hat{\\mu}_i) (x_j^{(r)}-\\hat{\\mu}_j)$" ] }, { "cell_type": "markdown", "id": "90ed1e61", "metadata": {}, "source": [ "(diagonal covariance matrices)\n", "\n", "However, of special importance are _diagonal covariance matrices_.\n", "\n", "For these, we assume that only the diagonal elements of the covariance matrix are non-zero.\n", "\n", "This is also the same as just computing the variances for each dimension separately:\n", "\n", "$\\hat{\\Sigma} = \\hbox{diag}(\\sigma_1^2,...,\\sigma_d^2)$\n", "\n", "where\n", "\n", "$\\sigma_i^2 = \\sum_{i=1}^N (x_i^{(r)} - \\hat{\\mu}_i)^2$\n" ] }, { "cell_type": "markdown", "id": "7c278873", "metadata": {}, "source": [ "There are simple built-in functions for computing the means and covariances.\n", "\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "88808b9c", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 0.96306184, 0.99597855]), array([ 2.92315936, 0.99367374]))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean0 = mean(samples0,axis=0)\n", "sigma0 = var(samples0,axis=0)\n", "mean0,sigma0" ] }, { "cell_type": "markdown", "id": "3347baa8", "metadata": {}, "source": [ "Remember that the true values are (1,1) and (3,1), so these are pretty good estimates.\n", "\n", "Let's repeat this for class 1." ] }, { "cell_type": "code", "execution_count": 9, "id": "f377b7f9", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([-0.99250469, -0.99305026]), array([ 1.06366716, 1.92246796]))" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean1 = mean(samples1,axis=0)\n", "sigma1 = var(samples1,axis=0)\n", "mean1,sigma1" ] }, { "cell_type": "markdown", "id": "3faac9ba", "metadata": {}, "source": [ "We can now plot the corresponding densities." ] }, { "cell_type": "code", "execution_count": 13, "id": "22e89e6b", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAr0AAAFKCAYAAAAQW+fkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nvURERESkPQ69RERERKS9H1v6ocSGEEu5AAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12,6); subplot(121)\n", "imshow(-G(normal(grid,mu0,diag(sigma0))),origin='lower',extent=(-5,5,-5,5),cmap=cm.RdBu,vmin=-0.1,vmax=0.1)\n", "subplot(122)\n", "imshow(G(normal(grid,mu1,diag(sigma1))),origin='lower',extent=(-5,5,-5,5),cmap=cm.RdBu,vmin=-0.1,vmax=0.1)" ] }, { "cell_type": "markdown", "id": "232fd2b5", "metadata": {}, "source": [ "We can overlay the original samples on top of this.\n", "\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "1bffc602", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAFtCAYAAAAeUTF6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(-G(normal(grid,mu0,diag(sigma0)))+G(normal(grid,mu1,diag(sigma1))),\n", " origin='lower',extent=(-5,5,-5,5),cmap=cm.RdBu,vmin=-0.1,vmax=0.1)\n", "plot(samples0[:,0],samples0[:,1],'r+')\n", "plot(samples1[:,0],samples1[:,1],'b+')" ] }, { "cell_type": "markdown", "id": "3120e13d", "metadata": {}, "source": [ "How do we take advantage of knowledge of knowledge of the densities?\n", "\n", "$$ P(c|x) = \\frac{ p(x|c) P(c) } { p(x) } $$\n", "\n", "Recall that any given $x$, we decide that the class that maximizes the posterior is the class that we want. The decision is independent of $p(x)$. Also, we have equal priors, $P(c=0)=P(c=1)$.\n", "\n", "So, we just compare:\n", "\n", "$$ g_0(x) = p(x|c=0) $$\n", "$$ g_1(x) = p(x|c=1) $$\n", "\n", "We call these functions _discriminant functions_.\n", "\n", "The _decision function_ is:\n", "\n", "$$ D(x) = \\arg\\max g_c(x) $$\n" ] }, { "cell_type": "markdown", "id": "5fcb764a", "metadata": {}, "source": [ "Let's plot these decision regions.\n", "\n" ] }, { "cell_type": "code", "execution_count": 19, "id": "f1ea4915", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAFtCAYAAAAeUTF6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDOoX0E6gofP0LTQAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow((G(normal(grid,mu0,diag(sigma0)))]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAFtCAYAAAAeUTF6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvX1cXOWd9/8+Z4AkPOSBkBAIieQ5xAYTGcUYgSF30rVa\n3GyiW/ujtcZW6aPb7d1Wd1dDHnpvre3P1XS7Xba/3ahdtnbVrCvVtQ13YYhJRGc0gjUBDSEJGUKE\nhPAYgZnz++M658yZYYaHAAGS6/16+ZLMnDnnmoH5XN/zfVQ0TdOQSCQSyaRDHe8FSCQSieTykAIu\nkUgkkxQp4BKJRDJJkQIukUgkkxQp4BKJRDJJkQIukUgkk5QRC3hrayt33303aWlprFq1irfeems0\n1iWRSCSSQYgY6Qn+6q/+ijvuuIOXXnqJvr4+Ojs7R2NdEolEIhkEZSSFPBcvXmTt2rXU1dWN5pok\nEolEMgRG5EI5ceIEc+bMYdu2bdx44408+OCDdHV1jdbaJBKJRDIAI7LAXS4X69at49ChQ9x00018\n97vfZfr06ezatct/AUUZlYVKJBLJtcZg8jwiCzwlJYWUlBRuuukmAO6++27efffdkIuYrP8VFhaO\n+xrk+sd/Hdfi+ifz2q+G9Q+FEQn4vHnzWLBgAbW1tQCUlpZy/fXXj+SUEolEIhkiI85C+fnPf05+\nfj49PT0sWbKEvXv3jsa6JBKJRDIIIxbwG264gXfeeWc01jIhcTgc472EESHXP75M5vVP5rXD5F//\nUBhREHNIF1CUIftzJBKJRCIYinbKUnqJRCKZpEgBl0gkkkmKFHCJRCKZpEgBl0gkkkmKFHCJRCKZ\npEgBl0gkkkmKFHCJRCKZpEgBl0gkkkmKFHCJRCKZpEgBl0gkkkmKFHCJRCKZpEgBl0gkkkmKFHCJ\nRCKZpEgBl0gkkkmKFHCJRCKZpEgBl0gkkkmKFHCJRCKZpIx4pNp40/ve/4z3Ekx6lUjei/0Mvcqk\n/1hZcukk83rOjfcyJFc5kWs/N95LmNRMfqWZQERofazs+oi6qdfRaYse7+UMmwjNy7LuE9joY5r3\n0/FejkQiGQQp4KOIgsZ0bwcLPvXQo0bSZoujOTJ+vJc1JKb5LjH/00Zm9l1ExTfey5FIJENACvgY\nMLvvAgDRtm4itD58ikpzZDy+CRhymO5tJ9rbzTTfJRJ7m8d7ORKJZBhIAR9DZnjbmeFtp0+x0adE\n4FVsdKtT6VEix3VdChqx3k5UNJI/bSJe33AkEsnkQgr4FSBC85LW9REA9VMXcC4yAQAN6LuCAU8V\nHzbNR4TWx6quj4jQ+q7YtSUSyegjBfwKs+BTD/M/PQtArxJBdczKKybic3rPc92lBkCT4i2RXAVI\nAb/C2DQvNryAyFpJ6/oITVHwRM3jfMTMUb2WNasEIMrXS6TWO6rXkEgk44cU8HHEyFoBQIOZfRf7\nHdMcGU+bLW5I50vuaWKq75L5b1XzyawSieQqRgr4BMEIeAYTqfURbese0jmSes4FCLhEIrm6kQI+\nwUnoPU9C7/nxXoZEIpmATLzEZIlEIpEMCSngEolEMkmRAi6RSCSTFCngEolEMkmRAi6RSCSTFCng\nEolEMkmRAi6RSCSTFCngEolEMkmRAi6RSCSTFCngEolEMkkZFQH3er2sXbuWvLy80TidRCKRSIbA\nqAj4M888w6pVq1AUZTROJ5FIJJIhMGIBb2ho4PXXX+drX/samqaNxpokEolEMgRGLOB//dd/zU9/\n+lNUVbrTJRKJ5Eoyonayv/vd75g7dy5r166lvLw87HE7duwwf3Y4HDgcjpFcViLph+KqQrOnj9vr\nJZKRUl5ePqCOhkLRRuD3+Nu//Vt+/etfExERwaVLl2hra2Pr1q08//zz/gsoypi6Vnrf+58xO7dk\n8qAWFeMryB+310suj8i1nxv5ScrL4So0CoeinSPye/z93/89p0+f5sSJE7zwwgts2LAhQLwlEolk\nzBmm1Xo1MaoTeWQWimQwRtNVobiqUNzVANiKis3HtYzVQ7rGSF8vkYw3oybgOTk55OTkjNbpJFcp\nirt61MRRs6cHnGu4LpCRvv5aZULEC8rL/Zb3zp3+xx2Oq9KdEg45E1MikQyL0dyEL5tgobYkSlxL\nSAGXjBmGpXYlXBVaxupxfb1EMh5IAZeMGYaldiVcFSPdCMbdopzgTOh4wTXkMglGCrhEIhmUCR0v\nkAIukYwOg1lqk8VVMVCgbkIE8SQSpIBLhoDTFU+O/fyQjh3MUpsswjdQoG5CBPHGkcmyCV8LyAYm\nkkGpcMeP9xIkE4hrefOaaEgLXDJmGJbaaLscxsqFoRa/Ah2dQH/3DzBxg3iSaxYp4JKQOF3xpuW9\nu2iZ+Xh2xvlhuVNg9F0OY+bC6OgMcPkM5P6ZUEG8CYaMEVw5pIBfIwz3S5VjDxTqxws+HotlSa5C\nrvUYwZVECvg1wpX+Uo123vBY5SGHOy+xMWFfI4N4komCFHDJoMyI7R32a0Y7b3iw813ubfvlrDP4\nOtJlMMELfa5ipIBfxYzWl+piR+Sor220Gc/bduu1r1Uxn9CFPlcxUsCvYoK/VONlDVldDqMhcGPl\nwhiN80r/r+RKIgX8GmI44jIaWSgG1muOhsBZrd3RvG03Gm9ZrxGOcNdWPE3Dvu7VhowRXDmkgF8j\naBmrTcEZCpMhC2UsbtuNz2gwl0jAtS2irZaUoiUnimN0IbvWLPJr7f2OJ1LAr3ImQnBpIqzhchnS\nHUNyYtj8cbWoeNTf47XqZ5f0Rwr4Vc5oWKnZGcNzmYzFGga9xghu2xVXFUpJKYqnCVXfaBRXFSQn\nMpRx3ANeewxcKmPhZ5ebwuRECrhkUIbr8x4PQomPdaDEQOJk3WC0omIUT5PpBrEVFYPFJRLOnWL+\nnLE68I6jpFQ8kZw4KjnrYyWyMvg6OZECfg0xEYJLV3INhigNVZzMAOYALpHBMDcCiw892MUS7toD\nrVFxVQl3jLt60rmhJGOHFPBriCvp8w53rSuVL+10xZM7zNcoJaVoeRvFzyNYn+KqMoOZqrsaH6Lt\n50BiGxw8DUazp6O5q82NYFQCtpM4NiERSAGXjDpDsXjH6pbdEKUDr2WzsaFYiKm72nSLDCiiniZ8\n+nNG8PFy7hg0ezqa7jrRli9GdVfj1e8EjOdDXj/EZxJKZBVXFcooiezl3mlIJgZSwMeRazFwNJzh\nEJeD6c92deO9Mx9fQT5aUXFYcbIKpOquRjNEUg8+Xvbvx+o2yV0X8vrB4uzLWN3PUg8VAB4t8ZZ+\n78mPFPBxZCJ8gUbqKhhOUY3iquJA0TJy3fvG5JY9oPjILYqPNJbi8KSRNcRzGH5w1V0dkM89UP8T\na7C032fgaUIJcy1ru11fyrwhW+pj8TczEeIjkuEjBfwaZySbiPW1Q0kVFH7cpfgKpvU7ZjTuRhyU\nk4tuTbOUx5MPAomwPAYfN4Z8jXXdiqsK769+Ip548JEBG2YF9D/Rfzb+U1xVeAvyzdcbm8JA1494\ndX/Aa0Ieq2e4jEX3RSngkxMp4FeYqypwNMQc51Bl+YprC1kZfnfK5W4kVkELSAd0dePbmTm8k+kW\nd9hrDTWbJajidUjvKy520EM0e/qIC4Nk06mrCyngV5gr/QUKZbGNZBPpl+Mcws0QbM2FKstXMj5C\ns08b0noHXI+RKhj0upzkoxDG6g6Htnwxqv55WP3h5nvzNJnP24qKA9wt5jmM8vkhWLRq8Sso5YfF\n+6itQ0V//451+PI3D2vtkmsTKeBXOaGsxsvZRAyBDHY5hHOVDGltYTIsfMM8D/R/n9l5EUOqorRi\nFU3jvRlrVNzV2EpK8RppfHkb8e78nlhnUbHZa0bR87S9BfliTQNsir78zWBc88FH/O6b4Pc2Rndt\n0m0y+ZECPo5MxC9QOAvYaumGytoYqpgYZfmKntNsfU1ZxnfI5echXQXWQKHxegifWjeUCsyhvPdw\nm51qEdKBjhsNxurck85lJ+mHFPBxZMzKoodhsQVvIoP5eQMscE/TsAKR4VIIFVcVatlhDri2sNEd\nWpCtVZWG8CuuKnz6+lV3NZpuARvv03iN+sQ/4Xv0m2HXZW4OJaVD3pysn9tIN2LDbSKRDBcp4Fch\nw7HYBhLciuILODpeBwI3gvLYO8jOn2Wm2RkMJv4VJb3kuv0+ZHMNGavxzZ6FljAXH6EFOdzaNf35\ngTI41ANvDyzgxroHKaEPEG3L+xx0UwyTchiQRjhEq/pyNotrsd7gWkEK+FXAWKWWOT1fJ3tnf0Fz\nFi0lm4/7TdoZdE0hBNLIUFHqp7P78G0oGTvQWI0jL43sjAjhVy4pxVZSGrqqMqjPecj30t4ZtrGV\n4qoS5/U0+RtPEXoww1A/435B4yD3k/XuYLiEcisF0+89DpJXPhRCbUKS8UcK+FXAQGIQzmILl34H\nFsuzKBFoD3tdqygZ4mqe39OE154uBLqkF5ITAyb7ODxpZLuqyHVXkwvYGoshI5Htyb9Ey9iIwlF8\ndouPXBf/UFWVakkpPr2HifFe1Cf+CS02BvXV/SgdndgKnxLvLSoK7b/+pZ8v3wf49A3B6msfTRR3\ntT/1supYQEaLwXACk+F+7yFL8kdYNBYq7x2kmI83UsAnEZdThh7uy1VR0keWPcQ1PGmUFy0FAkep\nzbxwP61F1/V7PDsjnpyCdFTAa0/vF+TLsZ8n1+0XXWOyj+IK86cXNM0mHGrxK9DRKX7WG0dZ/d++\nR78Js2bgK8gn4s776XvtWbOjn/G5hPpsrJvacBmoMlVxVaHUn0ZpaTX7jvsShBvKl7dx1NNJh1Km\nPyrXmQDVxNcyUsCvEKPRA6TCbSl8GWFqmVMvLw9eV3ZeBFl2//i0wFFqgY9XFF/A4X4d3LpILF+E\nTW+fqlrcEaEKfoKFUnFVkVUwH5+9v5CpT/wT2sbbzPcHQEdnQKVjyKpJ49ieXtQif2MrIzhJbAx0\ndJqP+/I2iuyXyxS5UJWpRqBVs6eLayfNFRtMe6eZhhic0WKuP4x7JNTv3XgvxuPegnzhakLcWQy1\nTH+ga4XKex+LgRWSoSMF/AphFd/LQXx5lpr/vtxcbuMLedK9EbVoHwdcW3Dw0WVZns7ahQE+8nDC\nZ/iWHThQXBGhr5GcGPbzUQ+8Td+j3wy0cC1FNaEyRqyBQd+CpJDn1VYsFsdmrA5o1ToSgoVXs/s7\nE/qWL0atrRMbRm0dWuFT4o4jNqb/ecII7WC/9+AyfhAbhHF3NJDLI+Ta7f1bA6C7oyB8Mde4UV4O\nDsf4ruEKIgV8gmMG+VzdZoMmGN50eMPKLsdBBVvA08Rz3MZC1uMknizmk0P/c4UbpZadcV5sBp5l\ngL+aMuDLbw1YepogOZGsghvDFtcYPuyBCEjzsxTVeNdlhBUnxVWFYrOh6W4LLWmueCI2JjBn3F2N\nWvzKkCsgwzWw8umbAbEx+PI3i+PyNgoLHPCtWCws78Kn8OkWeNhrDGMQhdU/Hfy4NdA70DnDVbX2\naw1g+d2GK+YaN6SAS0aLUD1AYHjia5Shq+xDs68WZejBltIg/mLD+jf+O1D4Ls/HrtCfm02F+7w4\nJvYdsvNnBVw73Hs64FrGLvcWtKKPxLGxd5BtOS4gQ8UyoiwcwaKiPvFPqAfeFq9vPEfEnfdDeye+\nO3LNlMBgf7taUirEkyD3QnIiJCcKt0LVMXwF+f0LcTJWi8eGKuBBDaysWM9vTYMMSEMM8XkM129t\nnC9YlK2Pw/D9+SGrd0cx710yekgBH0NC9QAZDv18kBlbUNkHnqYB85DDYVrznm5OdswBWsnOaDE3\nFLXodTTXwK1TjY5/ClUoVPG47hfXVqxGwy/+ARkq7Z3CBx1iqEK4HGnfo9/Ep7tNbN/bje+uTUKU\nZ80wz2VQrm8e/ax+HbWk1Cz40aKixLWCfLeaPR1C+KKthLPQQ2XiGIVIECj25vXC5bbr1vJQ/Nbm\nv4N6tBhl/NZWtsbdS6gOhKGqWtVQPnXLZjRgz5grzdNPQ2ur+HnnTv/jDsdVb42PWMBPnz7Nfffd\nx7lz51AUhYceeoiHH354NNZ2zRP8pc/KEEG+UEGvYPpZ/54mFM8ZHMmlbHA/Rv1yJ4X8CzuTv06O\n3Z8qqLirUWrqTKFyuuLJtdxaW0eFabO/KtYZpl+2edteWycE1NNkuhOs1zMFvKS0X460Zk+HuJh+\no8TMknpXFRXly3B0FAda3WAG9gwx9K3LQK0/DYVP+TNXqo5BywWIixHie++3IS4Gbcl1/Yp/1JLS\nAFGzXsdXkI8aG4MP/NPti4rFdZcvDjmoIRhrlak1q2fQhmTWHi3rMsxjbJaNSwH/McEFSvb+Va1e\nY51hiqSGG38ZU1pbYccO/7+tP1/ljFjAIyMj+Yd/+AfWrFlDR0cHGRkZbNq0ibS0tNFY31VDOH/y\nUFGqjpHLz82MD4NwVk9/678d4a++EW9yPteRhK8gn5ziU6hFr+P0pLGhRNy2K54mM8BX4fbPltTs\ngXMZc8reD/vlHSxNL+R7DJPR4Mu6WfxgeT4g2yNEj3FD4HwF+dg8TWieJrT0laiH3WJCfNJcUQFq\nXf+Dj4gMkRAuFgDNspGA/7M3jvXlb0bVs2M0ELnr6IKYu25wl4b1/WWsRikpNdMlg+9SAjYCS0sD\nI4sm2IrH0zR4X3J36JmbwT5wycRhxAI+b9485s2bB0BsbCxpaWl4PB4p4EGMNIVQS5g1avMLnZ40\nsvNEIDI7Px3NtRqnaxkO/QuvJc0V4lFSiuL5Bja3RcwsIuNYcRrvANexWslacqK/0lG/tdeSE/3p\nae2dqLV18OAjotqy6hha+kohknoKoXWyzWA9xg1LHkSAVPU0CcHWNyil8ZzZPXCgW39ry1fVXQ0P\nPgIIV4zCAGX0ujsnOD/e+tn0C4IGZXQoAOWHw9+xGHdGQcJvFjN5mszOjmZrAl3IB/KpD+Vxa4A0\n+LErQnm5+A8C3SYzZ16Z608QRtUHXl9fz3vvvUdm5jAb6UsGZ5AgYDgUVxXZGfEBj5WTw+P28yhF\nFt/s3j6U+ia02bN4pvGLXDi0CKKi2NW4BZY/B65YcpKPsqFE9z+3d6DWnhh47Jhu0Rki4g3KXjDE\nxwzo1dah2dP5Y7sdR8LpQKvSnh4Q+AvXYxw+QikUQmgrKkYpOwRxsaaAAWiA11I8o7iqRKVm96fm\nhqK6q6HqGOgbp2ZPR7nzfrPlq1r8ipnrbh2fZky1twYuQ1mwwX5x041hdRF5mgLSJSHMXYrlcwnw\ns+dtBP13MJRsEXMtQYIdzn0TfJd1RYt6gv3b15DbxMqoCXhHRwd33303zzzzDLGxgdNFdlg+XIfD\ngeMqDyyMFgMWbQz1HO5qcgqCvlTJokQ+oOry8DK0vJdRXNXUxyfzb3e/qJeuf8R2/qB/+YX7xRCC\ngYYFA6a1bnUzGCmNpgBYgpqGyDhd3eQk7/N/Bq4qVAKFkmlT+/morZZp8N2KsVYlhKCa7oOd34N7\nv4X3Vz/xF/sQKGDBvn1y15kl+FaLPECYa+rCfkRGdajmrhabTOFTKO99gNL9KUrLBXGOaVNRf/Pf\n+K5fIVxAlg3UGjgNDhBfrpgO9jrpUhkbysvLKTfuKobIqAh4b28vW7du5Utf+hKbN/eP0u+4RnfH\nkTKcYp2htHKtcMeDp4ndJctQXNUo7l4cef8pptfkfZ3Hd7ZjK9zHTteWwHUEWWQDVZWGcwkY1mlw\nQZNhoWr2dOj+VAh9+2f7Vf557ekBQmn15w4lvqAEZ2qEqbpU2jvDvs5wuxjr1pLmmm4SzZ4eWH1q\nxSj5t5T/26xZOfqdieJpCsgNN6pHjfX5CvLBsmkam1K4jdQ6jCJksdNl9Evv1/cmyB1mfGa+oGD1\nmHKVGITBxu1Oq2soDCMWcE3T+OpXv8qqVav47ne/O9LTSS4Tde+L+AhM3wO/1ZoLODJWoxWkQ/JH\nPFYwDbXoY/HFLz7FyRofP7r3E5Ta9eziGyhFTWhlnzBzdjP4ExvQMlabIhzKN2rddNSyw+bjtpJS\nvIDimo7Nsy9A7JxVifhc8Rxo+99o5LK7dhlkxKLZV5OdcZ7cvd8yhTIUOfbzoXuPtHcKK9mydqsY\nGq9RDX+/qwql8Ry2u76K0n3JtIB9GavRkhPx5m0MmLyjNJ5DLXwKpaYOm6fJzGwJlW0DBJb/e5rM\nAidzowvjnw7nhglFuCZlIdsNDMPl0a/5l+EiytuIL8jICDeMY8y4SgT8chixgB88eJB///d/Jz09\nnbVr1wLw4x//mNtvv33Ei5P4Gax4Qqk/Hba4ZNCAZ0cn6XkJPJzfiVr0B8pcLTxu/xhfgYhlaCT4\n12FPB7f4uRxHvwrOUC4GpycN5/Ln0JLXsbtxGVryRpTlh8nxnCYn+SgVh+N4PP3n/C/vfrwZ34OC\nLRR6fskfM34k8tMLT6O5qlDefAf1+ZdRui+J8995P1pcDFreJnz5m/u9Z2smSgAWoTQ2PDO33l2N\nducGNEApO4yWu85/rlAWtm5BGxPjfQX52AqfQgOCuw0a+dW+/M1C6C0xASMNMUDoYmNEsNSav21d\nu9XPbsQUxsgPHa5gaSjIhldjx4gF/LbbbsPn8w1+oGRYhOpLEfyceUtrZFXovuJgt0C/hlW6y8Hc\nFDxNXEyOHHA9obI+nK544ONAl4jV6tPT27KAnKJifAVzABFwVHW/uuaKQEuaDp6D4j2UlIoS/agL\nfndLXCyaPR3vr5/G9uAj+OzpqK/up++1Zwf+DMNYrQoIoQ5IRewf7LNZsmgUdzVK8wV8QVZtP4vc\ncP3oQdLg/GpfeycRJaX4Zs/CdthtWuJKxmrTvWJ+lisWo1kKh8LlYhsxhoFyxQ0XitHgCovLA4Zf\nhGMW9OjFTcYmqBYVhywWkowNshJzgjKknhU1dShlh1A85wD9S+ppQqs6ZrpTtIzVPF8yP0BkrS4H\nxS2G9Z5c3siPXN3Ud3+Tig9nszP561CUaFZphq4qXTpgeqQ1ayQ43aw89g6cRUvBE8fuxtvA2YXC\nerJrTpEz+yBcbEd5tRSb65cotXWilB7hh/ZBwJCGftcdoOw7XC60eVxUlLCg9WIlX3KieE1yIvT0\nBJ7H8v6M7BDDDWNUPprtba354/j92YDpbgnecIbTC6VfoFd/T4Olng43HdXYtMxNrPww6Hc/AQZH\nRuCQZ+vj0hofPaSAT2KMqeZqUTHqq/vx3bUppJV2smhav9dq9nScNQtwdtyEkrSe52uzebzgI+pd\n8Xw5r4HHd7ZjHeZgiKXTFa9b3kv79XdxUN7vS2y9nnGc4q4muyCdbLM97ZvscD2JNi+WcnJw1i+l\novGL7OIbkJyIMv0E2fZL5FAu/MXtHSgdnah7X0QrKfULoGExu/tPhyc2BmrrUHWBNd4TyYloyxeb\nlafarRl+X7Uuyqqnye8WuvfbwjIGM1Bn3g0ZG4q7OjDtMzYmoJ2tL2O1OGfzBbSEWSIoG6bMPdy/\njfVbLWxroHesRHKo49+G7caTXBZSwCcQ4dIGQ/as0HOEjd7b2vRYs/+GIbRG1kmFeza79XRBw6JW\nXFXklhfjsKf7p+GwT1jeQTnn1nJ6B+VQoBcmeZr0Ck99/UXVwi+uW+WhRCTHft70oRtZGUrNZ4Wo\n9vSyoWUvjuVOSI7Bl7yRx3ZOw/bgc3h3/gQfN6K6qvC+8AuzFaviaTKDaNZS9FBtVRVXlVnqbrWK\nA6ouLRkjiqdJ+KAbz4niJl34zUClJZPD+M8sfQ9K5zNcDEZlpuZpgk97UA+3+kvc9SBpv/xy+t/B\nhIt1qIBSUxe+wCjoscsJMIYtbnKsE/596Ta5YkgBn0AMZrWEfU4XGm3bPf39oLp7JeS1dMFzViVS\n3pODxmp2lyzjy3kN7C5aaoq9UU5vbDBGXrk4d6B1X+GOFyIftN5Qm5P62h8p+/QWcmaJ4+ntRYuK\nRNV7pyiec6jFvw+c2G6z6dduMoU0FMFtVa1ZJoAQUE8TLF8csD6l7BBq7Qkz80QB/0CGssNocSIH\n38gcUcsO4/3+Q0K8jSIeYzpQUAzD8FV7Q4ir1Y8dyh8f6r2Fcx+pPysyuyoGl94HHBvGd97vekG/\nO6++SWoZq6Go2Cxusp43eE2SsUEK+CQhnKXkdMWzAXAm/AVZluetbWjLybGMMqtCKQoUUkdPFZoj\ng+z8WThd8fzrzuqAY5Wyz2KrLca3fDHExaBkrBaWdnIpiiuCipI+cpKPmh0TK8pqyFlxGmfNAnJW\nnB4wM8bp2sJjv5qGdudr+O7aJERLF4cs5oO709/qFVAaGrHd+y2U043+zn933g82G0pDo//z0nOR\nRQA3Ha8uVuqr+4XFvnyxsP7LDwuLePlitLgYUV2q9ww3KhmVmjqxSaL1d1UEpe0ZrwuVsaK4qlCq\njomMIWMjSZqLVnYY3/cf6i907R3h/x6CNwgjI8WeHpDLPhoZIKF+d+bf4xAaq0mf99ghBXwC4nTF\n4wgOvumd+sB/66uWlHLAtYWNjdVUuLfg8DwirFJdnECIdOryhwKKVvp9GTNWk22fFXA94YLZAmwR\nedlJnSieDhwdr5FdVMwBz3RyG/ejJKfwXM1DlJODkrGFXe4t5CSlkeM5Sn1NAo6O1/tb4taAW9J6\n1MJ90Nnl9xHrxzr0/HOrn1lLmguz41F0oVUaz+Gzi5J834Jk8zpGTvaBsiRyZ+9B6ekxBV91VZk+\nbACfNRXwe7tBP1YpfMoUWl9cDNrseLx5S8RxZYf7FcgEjDUL6mtivA+vPd10QRhWrHXYglJSik2/\nW1BrT4AeUA0emRbcK1ypqQsoOLJZerZYP/twdQJYzzUEt4p5F2C9O5JccaSAT0Aq3PH9yt8DGhbp\nXy6vPR2taCle8tFc6Xh/FboHzZczpoScNWm4H56pyeOiO1K/dqC/3EE5aqzK9uRfmwE4zZ6O5llN\nmScRb+wlrstNYnvGPmw/+xdIakJpbGJH4052xD4phC7IH1xeGoHTtQiS1rOr8RvgAoXbcbhLyM5Y\nDVFRZoWfUbGI7jJRGs+JykXdxaG6qvDt/J6/I6Bh2XvS9AlAS9EyGkVPEL1hli91AUrNcVR0oY+f\nidLXh1bn2spQAAAgAElEQVR2GKWjEzqEZeyzp5tVhta8cv23EPKzDjepxlb4lN910tEpArF60NWo\nDCU5ES1vo79nzIOPmHMzjXNauwz6rFk+K/ybNhb3ke2w27SSFU+T+JsZxFU3kNUe4IsfYkBTMnZI\nAZ/AhMrjxdNE+fJtODtuot4zjV+XpFCR9Hc4G9M4UdhAanJ3v4k/Ycve9f9f7Ig0J/0oGct4rGCa\naeED0LEe2jspJ4ey+r+gvn0tz9fexnWxn/BcDZzsmMPJdXdQzxdp6IuljnjKozbh7FhPfe0ctEdn\n8ZUVpWRvE66JrEfTyQLUooPgSuSxX6UCYCt8Ay25f+c+0R/FMtAZhMA3XzCtTbPfd1Ex5bF3sNu1\nheyiCJEpk7cekrfg4MfkJnXg+8Vu844ETxM0fYLacBZt2SIA051iuFDMz8uSFqjl3trPT60WPhV2\n0IFRgKOUlIrNo/aE/w5AF29zk9DvUEKVv2t2f69w47MxMERXffE10y9tLbM3LfShWNghjglIPR3D\nSfeSoSMFfIIQcvyaJw4Hwr9soHiayMk7bbo8UpO72Z7xKrtKWtiedzBkAClsvrQ1j9ncLPypgUam\nhYNytNx15LTvx5eVR/nx68nOaKHCPYecpKNct0LlKwmvkvWLG3G64jlQ+C7b7zrIrrLjbM8tZSeF\nZBVEmdWJVlcQLgKvF2Y2ZkVJL7nuYnNYgi9vo7CMAe8vdgcIVTaQXdtiZsgU8s96X/DTaDUx5udo\noDacFb7o5ES09k58uetCd1c0im6sKX9NzX7XRPMFM7VQ0dvXWnuRoN9NKI3n8C1fZLptAn4n9nR/\nSwRLn+/g32nYvisA0ZbAclAPGPBn41irOYPdKsZsz1DNsRR9UMTlTLo3P8uxLq+/RpACfgUZqAlU\n+PFrN+LjRtPSMxonWRG5x/0zH4wAnlU0jS+q05NGRclSNH1Ysjp7Kie0e1h7vgy1qFmcV7cKfWUv\n4iu4B8XTRNajq0j9loeTtT5yks7hbEwjh6M462PhW6XkpjfxZuNSIVRmvw/LYoNcQTNKI1FcbiEm\nyYnhMxgMCzUjcIK8apmQ7nTFU1HSC8mJ7C5ZBskf4SybQkWXj5yybwmfMiLoqTSeE9Nr2jvxLV8k\nOvvpgUqCStpNEdaFy+iL4ivIx1Z1zP/8YTf09Jhta4PR7OngqkKLi4W4GIiNMStprYJs+swHmpup\nW/Gh2vlqeixAcVUF9GRRyg4P+DcU/FjIzcMumnYZ/vzLdaHI8vrRQQr4FSS4E5+B4qoKyJ8O9bwx\nV9KwovqUCC7ZM8i4KYU2WxwZN13iU1cU3bY4NGDqO24q3Hf0O6fxpckqSCcnuRgtYxoU7WM7/8ou\n9xb+ankJmivGP4AhORFny01oxRdwUghFiTx/eBn3La+gnlTu63yJr9hr2FDyGN503QJe1cgf837E\nifda2ck6dhct42RZI6lxzeS6e8lK9rsFWrvXiw1GD96ZOeixMZSteEAEUt3WodBLcXj6yDI+G+ON\nxcaQYz9PrrvYLMIp5J9xrkgjt+Q3wi2i+7V9O7+H7cFH8P5iN6DfFaCITSIvP2T6n/F7MHK9bfrG\nYR20ob66PzAX3Bp8jZ8Z2Pp19iyUklK8339I5K5b53ka1x6gWZgK+OJi+/U015ITUQ+7Rdm8K7C/\nuHLa06/U3fCLm8cEdxskhItEv1OSbWXHHyngEwDFXU0FW0yxnRHbaz7nVVR8N92I+oNv4LPfQCQq\nvV//MienLqApMoHrKg/S/q8HuQGI/ue9nIsSjaci362E7oXAf4lbYr2Xn2bXp+7Y0y1Db5fpk3i+\nIXy/ekGGYfVqnjiy89vJcfldNIX8C2UZ3+FA4Sdk7fT3CVdcVeS++AQ+dycbG4rx3pmPknEOLl3i\nsV/N4sC9i/EV3ON/8+5EtGQ9KGsZsqAWFYce2uCqgowIYcnaLUMegvqIGGvPArzJ+TjLonAku/wb\nhJ5qp7iq/AMqjDmZQa4Da88ZY6CycsiNWvgUtpJS1IMu6L6E0n0Jm56qqKUuQCt9E9+j3xSivt4u\n3EM/K0JBEXNCU1MGFMGQPuiSUv/MTRBFNMmJpkvJmDpk7d5o+r71JmC+jNVijqdexWu9nmZP73eX\nY/0MYGjTfUIRMvtlXuU1MXx4rJACPsaE9G1Dv0CjlYsd/sZSp6OShSg7PgPAgqi5nI79DF5FFLS0\nZq6nNXO9efwrmX/HkcpIZvYe5Bn3Js7cupHpN3+JJVkZrM3sYbq3g1Wu9wGRr1yOgxOe+RTyMrvc\nW9Dsq1HKzzGd66gqe4jrSDLdEUrZJ+SseBfF043NXUxuAdhsPhRXm3l9zZ4OCfGUZXyH3ALMDUAt\nO4xa9DoVtUuh8F2cNQug6xK7Gz6HylK0pEQcn/6BrDDBMxCZMereF/Ftu8ccgmBkqRiVjsbYNocn\nDbX4lCifP+SiouWv2MBetI9OoJQdRq2tE8MT9GpWo9oSAi1Oaw9vpfGc6ULREufg2/k9YcH+6ici\nx/zF1/Ddc6e/GdaDj/gtcdOVoYhNMtiHbBnSETZmYbkbMALaRv9wI/hpvDcsgV16ekRmD+jDIDpR\nSvajdnSGTCPU7P37soQilItnwONDZL/Y1n5uWOeQBCIFfIwJ59tWXFVUFPbh9KShuJeyGzFkoXd+\nMh/Y5vFBtPjVdNum0Kv4Bf38LVkB/7YyteE0m/k/bAZSK38KmX/gu8p+3p0Sy2Klm5k/P4iqaRwo\namBF5O8BuHGti5yd51GL9qElz+Xxne2oRfvw5eezuzbOXK/RQbAs4zvklL7JH9u3kUMPuQ2/wetW\nUaqOCX90ciJKbR0His6gtkfhrOqjPiGVX3fcho+PqJjdxW15l3hs53lxfGIC29knrLqUJLSi4353\nioGniew8hxCoelEYREmpaW1qgNp4TliieoFNVkE6miuCitqFOGYfhxbMroC+gnyUwqeEAAel5kFg\npaNSW2em8pk+fU8Ttg9rUXSRpPAp8bhindqJea4AMV6xGJ/ufgjnQw6YexnOwjU2niDL2JexGt/y\nRWLj1O8kDLeI+R70Xi7hJs5DiF4sQa6kUUsfLC+fnNb3BFm3FPBxQrOnk2VHT6f7mI/KD3L+liy8\nikrJP8YRv0BY2Gsye1mT6XepWK1tgyOVkazJ7OXs1nsDnm9lPfUPr+UPP2zm3swEWjPXM7PyIK+8\n/Vk2f1f0bp/hbSfa282cmYkornOoRfssk1W2oBb/HsX1Z6iIxw9kbKGQ59jZ9W2yChYAgb23rTgi\nD5Jb81+Unf4cp3gI5dWjOFu+Qc7eEircK3HgQEueCx78uc13bsDpScOx/LjYLOznUb/1OLnun6O+\n9seAtEFrJrYhRNYAXTkOdnuW4mQBu7gPrX0xtHeSU3KeDfowBiyZIN4QfuiAoKteJOXL3yzyzwvy\nUXY9IzI9DBHd9wbqf/w3zIhDaWhE8zShvPZH8fo7N/jdNFXHwmSSB14zXIaHtcTfOM74DLXli8Xr\nPE1oetm7CmhN/uC0ragYn9FBMUTGzUBukWDL+3IySswNYoII4bCZIOuWAn4FCR795UPlk8h44mwx\nJM1o5/N/rQAaXWoX9z/cNeTzGgJejoM19HKkMpJUCBB+g5mVB2lo+0vz3xdtcVy0xdH61b/m+pWd\nvMz1VLu2ovAZdruXodlXU588jbKM+ah5aWjJq9FIh7Kp5jmML3A5Dirc8ShJ64U7pkBULOasOE2O\n9yiP72yDvSVsT/+tP/Mi70eUR23CkVBlWqTlRUvJfespDhSdIde9D9thN2U1C3B0CAGivQMtNkbM\nxTS6DeqUx95Btr6mDU//G2+e+ho7On6IQh2FJ3+M8mkP2ntJYt01xwHddZCx2gyIBvi8rZWWNXWo\nNcdRyg+bvb/xetHiYv0NqYwAp6cJWtuEa8YyeMHcaAqfQmm+YK47YNxa0Cg666xNA2vGTnB+uFJ1\nTFyj+BWxRt21pM2eaRYAma6gEJODBhNka6qn8VkNRcCt55UZKKODFPAriOFK6VGi6FaniM56R0rp\nPtvG599+gtQ9NwMwteEBsEzBGQozKw/yxst/xprMXt54eQqxaXdxpDKSI5WRPLdvJfVc4uwZG0vb\n/pKXj9qJ3dPF1IZTrNyaxJrMXrrVqczNEqL8/XfeoK9gDn1KBI8/9LGZnvdq6Vbe715GBV/DiYP6\neytIjbyDHM8Jsux+d5Gt6l+hp4ftvCN6qMStRvl0CWpJB1r6FnPsli9jNVk7b9QbZ4kxa6Lt6haU\nT87DQoQVOXsW5alfJtf9ipiU094p2skeeBvtyJ/Mohi1qBin5+torkgq3FtQ+pLY1XEf9dMWUE8q\ntz3zOTaUPGYeG05MzCHEhiWsuyu0/+fP8RmNpjbl4/3VT0TGRlGxaI5lpPTp03aU+gZ8K0SzLNVd\nDSWl5vCGftPlLePWgkfRGQUzweX0Bqbv2ijL1/uW+yzDIIw7DfVn/yLuAHRR94YK2gYJ8oDDRYaR\niWL2sbferVl7qVxuMPNKWcPl5eI/AOu8ynEMwkoBHwWGcwvpVVTORc3m5JQUyFkJOeLx1JQnqX/4\nhwCsrIwE+lvPACl7i2jYVmCKM8Bze6KZmRlN1XEfRyojhVA/uZKlCCs+Yf/rfDvlbUiB1D0/5Zb5\nH7ODIqZyirN8kVYC3TIn1t9Ba8xK2mwavUoE629qI8fex8njKn8+bR+F7GCXewuP5+pZISTi5UYq\nii+QnT8L37Z7UP5GnEtLmovqriZnXRR4eshZ/g4Q2HcFhLujgvWcrJrB8+7VOCMO4HTfRn1TDIta\nDnPyongvCqC1d6JNjxWZHukr8epVkQAU6gMrao6zof0HkBGL4j7GV+J/S05JB8p7fxK9uPW0zJDV\nhLqYquhdC5svCEG2FvB82hMwHEJpvgDNF7Dd+20RRDRoa0fp7cO3fBHU1MHFdhHwtGaRREUFjGBT\nautgxWJRyJOS5A921tYFDAsOmSUSfNcQGyPK7NGFNy4mZD79QISysIecchgCqz/dNm8pjHTo+ZUS\n8GChngDD2qWAjwLDKUo4HZXM2ai5Ax4TyvVhkFD6Og3bCgC4/+EuIeSZvTS0zaKxOZpn9/TyfmUk\nT23rIqr5HHenuYg9epa30hbz1pklRKTdTOXRJexgBzPPHOSWl4/T8eExlm5baV6jNXM9H+89xrJ1\n1/PCS1EcbltDYk8zz3+4hOzlpyBuB/UpMaAPZDAbR710E47avQA4WnpRXOeFC2H2TH+DqKYSIv7j\njzgb0yhnC9qd9exu/ByP572J0nyB+2v+X1KTPsvOxm/yldmvkOr1oMXG8FzHl0i1naDeu4D7O54l\nJ+oQ6mE3vpbzlOPAWdWHlr6S3SXLUDz7cNZfj60lDWiinlS2z/sNeKbgW5CMkjAL3/FTqPrmYq0m\nVGrqhK/dIkxqeye+hFnC/21ULnZ0CleJfjegJc31z+esrTP9xErZIXwrlphDi9VDrgDft2L0BT/f\nijdd/A586zLMAKtaVIz3zg0hhwWHJNg/XVtnDnY2Ng7NjHFYfO2D9KI3jgm2oFV3tehSSWjxHqxx\nlmRkSAG/AvQpNj6atggvEXTbppgpgFZCBSdnVh4M+TgIv7eDcua93MjUhk3EnvkAsDO14RSwhJ45\ncznVk8TZrctYyW+Y9+TdbAZW/vA71JPKDv6T1Mqf0pp5K09UPgAQIOLH9p3l8yUrSX37NdpvuYEs\nu4033uvm0Xm/5bPLPsZZIjaZgAnl00QJtwI4cOK154vS9BWL8e38HlpRMeUUklVwH1lFxWQhBidr\nhW/qE4AiUItiKGMjvrLFXLdiNo/tjEItfArnoc+yffZedtXeR87y08ACfF1dqLUncOQtweH5O7TY\ndSjL17Pd/gceaH+I8hYH9XHX83xjNte19aCcuoij4zUclAof+pQovOsyAoKwiqtKBB/XXi/G09ls\nqA2NQhg7OgMGEXPhIsqRD0VjqsZzaMn6XMuaOlNIFRSzRa6tpFQIvT0drb4BbfYsvC/8Y79GXGY/\nFasv3IIxMMJKuCyR4HNbf7beQQSn+IUaiRZQgh/kYglnyQ/WOOuyLefxdmdMgAAmSAG/bIZqWXSr\nUzkzJYnWiBlmMU0oQgn1sZcbmZcp3CYJpa/zZttaZh49xJr8P2dewwPExp1l5dbP8F32c/uZX1Nf\nmcqzW1/n3pcLeGLrBzxduYk1mb2kVtZRr5/z7NZ7SXg5Vr/mrcysPATzH+CD0m7sq/wbhueTaADe\naljM3soY3suMwv32NP7vzat5fcH9bPiLt/B9IQJnVSLO+qXgSmRXwxbwegHISUnAl/Edchm8ob9o\nhfoH87N05KWhtHfgaP4vYKMImrmi8H2/AL7Rg0+fFG978BG8d/4vs1+4s6QXZ+1CdsVt4fnabLbP\nfo/U2Re5wVbN9rUvCgGNnoY2TbhwlJYLVNQsILuoWBS26G4TH6LBlGpYqJY+49ryxWa+tWIId9Jc\nsYnp4m478A5K2WFAE21vo6ehlr4ppiY1nkMpOyR6kXdfMisjra4ccwTbIRdKSyu+5YuwWe4Igiss\nzWpPw6evz/W0Zscorqph5W2HEt5QJfjG9S6byxXC8XZnSAGf3AxmWbTZ4uiyTaNbnUpT5PACkgau\nowl8HmjYVkDDtgL+8YexvNm2lrOZX+S5ymjOtndBJazZ2ktrZR0JbbG8kvl3NO+P4enKJJ7bE83Z\nBpVUHmClJVNl5VYo/fAuPm5YAfMf4Cdnvsq6Tz+k8W8+Af7EgphP+E3z3XDL6yxvPkva3P/L0+ym\ne+Hf87O3P0f9LT8goquP1iPLyU4/R/a2uWj2VHhwH4VR/4qWvhLF08wOt+hrXo6D5wvnk8rXRVEQ\ngOfr5Cw/RTYwY7biFyRPE1k7b8RXvBlq49ldtJSTb87A2ZjGxkJwetM48drvSXV1knNmBQ6EFam6\nq3Es74DlkF2wghMlDVAzC3p6ed+7ml2eb8Ccu3C0/BcO7TBK9yW0pLk4W28h+8KbqGWHcZb0sqFW\n34yLioUw3ZohBN06xABRCk9cDFpcLOU9t5LbfkgMcfA0oX5Yi3ddBkpPD9q0qShd3ULg2zshIgJQ\nRDaM7nrw5m000xMVV5W/cKil1d++1+KztulNxsASGLS48bRt95hj5rQgCzzAbx/G9RfsNgno326g\nB1QVT5PoARPUNTEUcjLP6CMFfAzotEVzZkoi5yP6B+sGY2blQWZWHgQg9mg0qXveBoSFPi9lE4+e\n+TeezbwbHg5MNWxlPXc3uJiXmcq3H+sM8KPf+3ACRlD0SGWkeF2mcJd8UNpNJsc5fGYV6VuOMfXM\naezzm7nh6BHqpqxg4fxGXjhzO1PuzaamMpIX7L9k3sN3AxCheVmlebFpPqILn0b5cANqtxsOu/Et\nX4xScxgyMMey5cSegoKP/K1r3dUohU20HV6PWiQKi5T3/mTe9m8oeQxHxm9RzjexiG/w+F0fs+s3\nayhc+3uRy+x+Cd+iDBRXFX9MuZcNtS+Qu1zB5+5BqT5GYdIe6OnhJG3s8DwC3Z0ovk60yFg0Wwya\nTYXubpg1Ay0uhvLkB8hZcRrArHAEsB0SQzwVt5jOo5SUiqk6PeIzrYj6Ko6lb+PL2yhcRXqREEDE\nnffjvW8rgDnuTGnv8BcO5a7Tm2gJzAyYIJSaOiGklsZXRjZJMAOmAA7B7xycceKzPBbSVRKma+Ll\nXPuymCDW8HggBXwUsFoWfUoEx6deR7st9rLOVY6DI2wC4DmieatBpP/Na/Dy+31TmZ71Yyr2RDNv\nvjfgda2Z61nJQVoZOAgK/rzxjlWruenkqzS0zeK26S+RsnUTRyoX8gbreZ9obkjp5RILuWlxjxkw\nvcXijulTbJyamkJr5npSb7mN7OZiymo2U77oy2j21ewuWobm/ghKmqhnGpXvXU/mWiE4Zu5yUbGY\nCl+gD6PQ27CCpTinqBjt1URxjKvbXxnpqjIbUj13bwyOjD/5W7S+2AlRF1Br60id4hGuDn2eprMt\ng3J1A9qnNnbxd2iufSjupZxs96GefQvf9SsCPi8tYZbZM0VLTkTLXYdaVCdK7+Ni0UjB990H/IG9\nmjphkeqtY9VX94vrL18MXZcCh1IYOehGJkdtXaDf2/KzkfOupSSZ+eFqSanIT6+t86c7WjsTBk92\nuoygYqjHQ/aqH+Q8Y4YUcMlIMP5ge5UIqmPSuKROuexzOShnMwd5q2ExqZzl/pQuSPFb4FseXkXb\nnt6QIm34r49URvLGy2INv983lQ/fi6CnRyEqSuOdA1Ec0as7z7/XzKq6Hmy2TmJPfcDmyreZ17CY\nchysmjGV9ytTuWXLAk5V2kzRD045nFl5kNgPP2Dm/tfJaqgn8rwHx5RDaK5ETq76Z2AOiuccv3bf\nxoyoWcyrceN0xaPUHMfZcRNK2WfZVXsfPLgPgFx3Lzk1/wJd3WZfa1tRMY74TtSiGHK8M1C/VQnp\nK4Vw6P1MTp7di1qrj2NzV5OakCTK1lcsJrvmYzQWo9TWoUVF4uhxkj27GsWn8d+9X0CzC5F73p3N\nommPobUkkaW3/jWEW9EzOIyAbTk5lLd8Ftoj2dVxHxT+EmzZZMdeIHfFYr9FauRf730RTc8ysRUV\ni7RE3ZpHr4wEzFmeAL7li8zNSi18CqWj0x9kTUwQm4DexMqrxwWCCZXPPWBQcQCsm0FA0HSIFrhk\n9JECHsRAPbvD0RIxi8aoRDRF4ZI6RbQmvUyM5lRv7IkmIe116h92AJh538/uiea5PdGgW8TBpfbG\nY4arJJV6LqUs5LuZ+3m6chOr1vYBIgXx2T0JXOpZyMX5mdhjXqT+4R3MA+4FPNu6yJpzjHufTKD+\nh/5rWDeJNZm9TG04zaUUaL1lPTP3HKJv9mxUu5jQfp17Djmx71DhuUjO7PdxttxAast7HPjZLHK6\n3qDwztex1RbD7AtsT/6d3qI0Bc11nnJyyMmLBD1FL7fxFbzk47AdgJYOvAX5OA/EUJ78fU42X8LZ\ntpqvRL/ASXciqR+e5bnue0X63LRpZC+qQ1uyGF/uOlHW3toGC+ejuKuZObuTQs/3UdrrIAN2uB/F\nF7caShLR9l4wNwqfpcufZk8nJ/sesu6IQ9t4G1rRPrYn7xPujNrEABeHUc6OZeCE4qrCq6cJGgFI\nY2MwO/25qmB2vHm84SpR3dVo06aK9MeoKOjpMce+DUa4fO6hWsxhLfRhNrWSjB5SwIMI17M7HM2R\n8TRGzaXNFjfqa7GnNZs/r8ns5f6Hu1iT2cvMyoNsfnit+ZwhpsE/A0w9c5pLKQs59nIjR85E0tGm\ncPxoBP/9Sx+tvdGgu2vO8jVWbPgTf2E/SkfaZzjLzZyrPA0/bOb3+xKYl+Iz1/H5D/+RV0pvZnPm\nfubte4H6h38AwO/nfoFbUk/x6tZfkUM5WY0v8/4n8/nvxnWcVecB4Gy5AaISmdl3khxPheiT3XJB\njBmrqYOW8ygtrVSwBUf5PiEOcbF479qEryCfA540HJ7fCoHr6wVPE/U9aQCkpkWS6jlK1s4bua5o\nH9sRr/ft/B4+fUScNj0O57nP4HTfCmzB2XIDu966Czq7Odkn2q2q7mq0+gYUVcWXMMvfp8Xq6pgS\nJVrIuquhfio2t6iYRLegrXM0IVDkzCEM1lJ4S1GN2QpWz0Yx1uQD/yDn5YtQ60+jpS4Qgyb0cXLD\ncWEYrpuRujxkcHL8kAI+As5HzBpV8Q6urpy6xcGlPdGmlR3Ot22I9kt7pwZY6UcqI7lwbA2nKqN5\nOyGPo82R3JTVQ2xmL0vbjhG7aRXdr7xDTdKtvDH/J3ozrLt5dk80q9b2cfuc/dySUselh3cEBEwj\nKi/SmikaZQHUP/xDjlRG0rz331iyaTX/9925LHj481x3cxM393zCxa/WUd/ehvOkl7L4L1CW+iU2\nHH4KX81ilPOtZKfUoKDgmz0LBU2IPKCcOI3S1IzS0Ih69hxq8StUdHyfDVSjfG83uapCzuwqdtp/\nA8DjBR+JUnH3Og541lPRGE82+kgxvV2rsmQhuR/ux5H0vvBFpySzfe2raHkbqSg5gVYWI6oV7xIb\nm+GD99rTRd532WFhEbdcEEU5s+Nx9LWZFaeGiEPQDMmSUr+lrGefBBAb0y/jw1uQD1XH0Lbdg7cg\n3xyl5gPhmtHXx4OPoKWvDN3ZcBCf92gMZZAFOeOHFHCG37NbQ6HDFsOpKcl02qJHbR3BIi2yR4Rw\nWrNTNle+bfZNac1cz9mGP+PZPdG8uT+K40cjuGX+cTLnR/K3Xb/grov/wKPz/z+mnjlN98JFfGPt\nn3ii4QGa24TwN3o+w7lTkTyR+QDv/c1CZlzXxbm6i1SeWUIqZ3k1IYcz0adJiXuJ3636tug1XrmJ\n5yrF+07YfzPR7x2iq7mH2PaLRLR36WvtogvoO/QHqF+B0tJGhJqC0ngOZ9wNOPTp89rsWTgS/4TT\nvQBf3iaea8ni5LQonN23oC0SwpCz9ijZeeJPVds1C807l7K4O6moXYhWn8juw8u4YfrHfPVn69hW\n+z9kr2gix1ZB2fTP43D/QIhvR6dZhq4lJ+L0pJF76GcQPVWIoT2dHHexaAnb3hlQiWlkiWh5G82h\nCJo523IJOfwJWnr9zaKWL8JWolvM+uusza5C0tFpZnyAP4Bre/ARfPZ0kfkC0HwBRe91YrhqlBOn\nQxb8QOh01+DhxOaxsjpy0iEFnIHmUQbiQ8WrqPQpEXwYvYw+JfDjC3ZfjCbWwQ2pPMkrmX/HGy9P\nYR4+fr9vKl95uIuONoU/23KJe59M4NKeaNKJoD73B7Q2rCf26Aec7pzD05XJNLd18PJRO1vTXDRq\n13FrehOf2TiNt4u8JM/pouTASubHnefS9AVEnfmEOWmJzNv3GxZWeNm8tsPfa5z9uFLm8LMPt9B5\n3ssH3M0bLx+n8swS3n6iiXN9s4E7Od4iPqdZkR18Zc4baLOToQfhv225gHZrBmWeLTye10Z5chKp\nZQDBODwAACAASURBVIe5rusi2+0isOmsSmSX++soZYfZ1XAfyrQL0NhNTvz75Da+Aik2ctZ+grM5\nnayCFLz6JB7ng9147YH9rg0r19n+WTa0tOLo+U/Ulw6h7HsD9ZMW/3G6r5mqY/i23eN/zBDKuFho\nbUOtPoai521rsTGiF/f3C0yXiFH+PlRL18jMsaIWvyKsd0BLX+l3WdQcF+/nfKuZg25O5xkklTBU\nINOaIz4QciDxxEEK+DD4JDKek1NTAKWfeMPoCvhg5zEClWsyezmiH9t0xsbZMz6e3RPNnPPHeatr\nMa6jCTTTQdHRu9ma5qI18yYWnT/O+oZ3SZl+gXNeO8tOvMvHz9awvNnGE2d+xdTMHbzZtpY1ab28\ndWYhZ+d/huaUO3iV7xOvu1JaWc8rmTdzhEgutUXywZlI1se9y9KtK5nZcIlHn7QBrcysPMj/2Z1M\n7fFoZn36Candx9h1+M9YlPJtTjZE8ZWUP5CdrFJvW8wu92L++7XpVDXcx3URDewuWoqDcnJnv0ZO\nQhXKClE9+fj9dXqxSwxe8sGVQNbOBTgf7MZZlUh5kZjes9st7qY0lpp3U5o9Ha2mDkpEMU5uy2vi\nmIzVaLNm4NObSFnznoMbN2lJc6GvTxQDzZ4leqDExYghw3GxfmsZzDFs1mlBxvWUmrqQ3QU58A5q\nXx9q2WGROfP+UVAVVD3v3Kj61FYsEfnmDz4irPdBMkFC+aoD+qEMtS3sCPzmQxb/CdJve6IjBTyI\n4J7dBp6oRM5GzQ07DWe0GUjAw/VHAVgY1UjH/nPczbN8/ugvmDX3XnIiD7Jyxv/mR0e/S/2mH/BW\n12IOTskW56mEsynpvDF9Ne+fieRYQxa1ny7iQrPKQ3X30/6paDF7P3dwLqGV2xteZSWniU3z8cd/\nvsjinhrer9zEDRxB8Xq5veF5ynEACXy89xhv7JvPH+qup71XpAT2KXOYGd1N1vYbqP/ZpzzL19nr\nWcyvG1LILjtFVUMi6cvbgOlkr4gki0ioiRfl9rV1wHqU8sPQ3omWtxFn7ULq2xPYXZTEbvcytqc0\nQ7r4PT5e8BGPZ3yEZhfXNl1lni+zu/Y2SOpEoYmc+PfJtseYFqwxdUfL29i/N/jsmcJ3HiG+OkrL\nBbTYGJSeXrzrMtC23YO690VImCWaR5WU4i3IRyFw5ifoQxgsFagGtg9rxWvKDsHsWRAVaY5zA0vP\nFL39rhHgtHZVDCWUITNQwv4ljQ1DFn8p4ENCCngQoXzenqhEmqLm0K1O7fdccODRIFzQcaRW+kt7\np9LRvgkqxfXObrnEvPle0xL/3t5ont2zCntDCx1cz4GGm/mzcy8QwQUuzV/A1IbTrNy6ngfSzrN0\n21xq/6OefWm7mXrmFE+ziR1ndvLjhU9zZOEaZtkT8XwSzR+PpLBmVS/PVCbzRsp9lDc4WLnKS0d7\nApsfjqZ1TxfHXo7jK/c3Mm/b3WY73KXbVnI7x+g4qhBf8Tpzl4jUxs//1XWszezlAPVoKxbz+M5q\nUpO7cXj+kwfq7wfiqKqdjrM9HidbyG38LTlJR9GS5uJoLBcCVXUMautwNLvZUPsYvrjVqGyhsOsZ\nfNyJxmoq2BIgFsbvNqegHZI/4vGMNtQi4abxFvzE70KIjRGtW4P6hRtpgWajKr0fillYZIhTUXG/\ntq9mq9hw8y6DpwHFxqC0d4q2tS0XRPaJp0m00DXOq6/NyB0P1ad7ILFUS0oD2tgO5A+/nAIg6WoZ\ne6SAD4AxMeds1NyQ4g39hXqwSTojFfCOdrXfNYx/L4xqJHXPP5Kw/2bmHX2BS/MXENF+kY6067HT\nTGvarRx78ucALNULHxPSYs3HOvLKeSHtl/z2zFc5dVzlwj4bifO9dLarNLTN4gbjvWYmmS4cg5Tp\nF8xuhsZzx15u5EhlEpVnpvKZ6GW0HJ/Pe39zmjPNsdz+tRtx1d5GOm3UF7bx/nuRKNELONkzn3Ta\nyM5oIdsxAwdO6EjBRwrOqkQcyfvxFjxiXldxVUHCLMpxoHniURpbxePuanJiFwCzAoTETBP1NKFQ\nLYZD1NYFVBIGT2s38TSh1tShGdZ4XCxofhvWcJeo7mrRS0W33A3Mgp4QQsiFi+b7MfPDG8/hXZch\n0gX13HorpkhbpvMEPz9QFaXiqkJtPOcPsAbdIVgJ1a1wMHEONcChX6ta61Dj8e4wOAmRAh6GPsVG\nm206J6YuDNn+9XIQWSSbhv2agVwmBi/tnUrPnFh2sIPnjkbz5vyP6Zs+A/eZBFqni9dfjD7L/KDX\nbfj6DIw+Kfa0Zm5JqWNNSi9RURH09PiYN9/L7/fZSEiL5eMz8PGHNt4sncKazF4zVVHklospP+Df\n1O59eQdPs4mIuIvc3f48b173JZa2vU8FK+hVI5ke1UVV7XRuuFDB2gut5Pb9Gyfxker5BG1KFI7T\npSjHTwIiD9o5+2lypzWbAud0xZOrC4PTk0ZO3O+gUf85+SgOnPjYHNIazc6LxGfPN3Ohh5KdoeVt\nxJcsJsj7AKW+QeSw60Id4I5o74CqY2LtesfBP+b9iNz60/i23dOvt4it8Cn/9Rzr0FYsNjNRlAcf\nCRuYNKbpgBBmozd7cIdDa6tZs/e5xS0z3Fzu4RQFDbn6c7w7DE5CpICHwIdKm206R6OXDut1A+Vp\ni/S7aDP9zjh+MGv82MuNnEWUxs9L8ZkdBs+esZml8cY1jEIfgB0UUf/wD3klf79poR97uTPAarZe\n/0hlJAc+XsfPjt6N+6hYY+J8L/Pme1mS1se9TyawslKc37gLONug8uiTHRypjOSJH8aa1/l47zF+\n96OzvNG2iZ+c+Spzbc20RM/nppZSHjn3N7zFEt5ouI/be57n1oQP6V60lDuWVVF24gvUt1/Pcx03\n8eXcBnbOugNH8n+SnRchrFbXAsqivkiWYU2X9JKbLCxHzb2a7IyP8BWtpjz5L8kq+Fgfz1aF05OG\n07UMzb00IE0UIEfPEBmozFwtfiXAgvQtXyxaybZc8PuldetY0YOcau0JfBmx4nyxMaLzoSeNDY3n\nzE3COrzYzB03xNU65caxLqQAGyJtHmdPF2Pb8A+Jtg6rGHRSzhBFPKB3i4XgtcsUxbFHCngIPomM\np37qwmG/LpwYG0KZumc/rZnrhzWw+K0zS9hsKY0H4TIxLPNn90TrZfHRIafXX5q/gNZM0c72pR/V\nE6sL+NSGU6zRHzdE/Z6lh5n35N08u6eLD/Z38aXHhLvniR/GmpvQGy9P4ff7ppqv+3jvMY6032j+\ne87/vMrG+Grmd35C5ZnryIo6zIGedXijY3jOt5lPVydxrnE5X996DOeeaLxdMWhHbfx5+9vs5KeU\nTbud8pS/YDsvoniESO92fYGTrZ/nue4t5MQuIOfeo+REHORk0x3sblmKlrFMZJzkrUdpT6LeM810\nRSiuKja4q3EsX4zGOpR1X+CxgqA/+9iYgNt9q1hqRg65NdjoaUJbsVik7rV3mKcxNwBPk5nJYlZj\n9oT425g21cxQMRpCKa4qkWFiNOUicLaltY1sSJHWfenGgONgazfU4IehCutQ/OCDWdtDtvSly2RI\nSAEPwsg26RtFt4lRgJO656fMzNxkCnk414j1NTMro0nds5+ZlZuYWdmF4YKZWXlQdC609kfRiY3z\nmee2pzWTuuffAGg+egcp08V5I9ouAg7AL+AzzyzBkIqItousyZwBwNK0PnMTenZPNDfoZf1vlf3/\n7L19fFTlmf//nsc8PxCChCTGSAISChIkOipP0RIf2uJSYPtz5bsVXPvDbrsp365G+1vbYq1bSrf7\ns2l3W7pdCf2uXXfXsFS7bjTUBgjVgSBBXAYhgRgyYTAh5Ik8TWbO948z98mZyUyeQzJwv18vX0km\nM+fcM5HPuc51f67rsvCrkjnUEcElp4kdRbGY2z/PusIv8vS673GPvZyP2r9AWkMLT2y9wlv7Z/Fl\n2//AH2DR8U+oifsCWR3/wx42U5b257xt2syKezpREu/Du/VmjLteZeVWWLGsnRf/LobvdPycTy5G\nQVw8B+oW8uvLf8J3lnlQ8hbzQLevi1/zFf7Pm+kYPr6HW8+oXvH8OZcwnjmH5757oK4BQ1W7v2j5\nrHwwkBrwKzPX57F9A4uVZYtVsb0ty89HbXxzv9qk6sw5OHaSg/9xlQpDPobLhXzv8noMsTvxNt7D\n6vn1rF52QWtRC2B8/S0Ml6+ATyS98+ei3DZ30OR4P4EUawlM/QRpMxtIqNx5yOePsigo1DFGhBTw\nESEFXMdQbpOxEijUmba7qLMtHeIVAy1lXQ1G3iaSfXZ1zuXpUrUKsNpuIRP//iiuBv/NTTFyrXNh\nPk+V5lHjMFOLmQP2gfPsW9vPwuRGrM11pMdfodXuZN8m6Gyfgd2ZR4kvp+1qGJgk5Gow4mowsqMo\nlo9PWrClqf7zGcke0uOvML/3CE93VFBXfIT9cRs57J6LqyeJR3ZtxtFsYVP3X9Pbb2L+rNdZVBBN\nPj1UO908ZfsYgCtf+ypLDncP+jwqmIOBqxwgh++wF0NvH0uo5rtsR+F2vtf/AM9vnQWY4dFfQ1ws\n31m213/k27LFrG5sQfxv/9MdFr4xo0Tzdx9ozCG/8UMMIqf8h/fUsvY396tDiy9fgZkz1FmcyxYP\niqqVvNvVqk/UnLaSOpsVWzexAnwVlZv4TuM7eF5YhHHXW2oOPu92dQpQXAyef/qhn1vF808/DPn/\niMh9C+fMcCPTgqEEbIqOhfF0N5SMn3ELeFlZGdu2bcPj8fDkk0/y7LPPDv+iaYLoPDgSt8lEMRIH\nij43vcB5iHWvLqWkOJpttnI1Mrer0TxAJmpRjcv5Ob9jVNstrOMw2PLJpI6UggxqHWZsabU0tM8g\nsqOFXFo55UjF0ZynvS6ntpHF0Wd5nBK2cwqAx87+NTuKEtSLgEP9X6bVXkdOchSPOn9KV8RTfHIl\njWPNyRzjc9TvTiHGVMCcDif90Wp039mh3tFccs8kNl7d7luwYQ7vF2epx/Nd5I792snn216n92gn\nVbsa+MP8J6DKycEzNr78mT+yuuMoq1Md3H/seSqslVqqYXXjBWCWKlpx81DyFqM0zlZL061WtS/3\nrle5/9hJvB+rke0bf/w7vrERrTjnQFUS9188qU2XMZ45h+e2uWrhTvIMtR1sbAzeyy1qi9nLV0JW\nQIphC/pmVAZOoqT6hLXxkibyIq9u3PUqhg9Pa21nh0PJux3lzf2hJ+sMl/MeR056JKkQmfOefMYl\n4B6Ph69//evs37+ftLQ07rzzTh555BFycnIman2TysFjSSy/s23C3SahGImbJJCetJv9Xq8/Rl1h\nkfZ94IAHQT4VpHCRlMKNfFTexYKCOTSXW0luv8LX38wE0CLtRPth1r26lMzi/+Lp8i+xnS8B8N7J\naB6/rwuXU+HB9T2kpHvZXJhASXE067BSWd7JqvUGOju66Cw/xUPre6gpqac/PoFmRxxpcS0kdbjo\niYhkzidnqey6kzIiOW1vpqNzHqfaLLxs93VFbDCSvXMBMZ4u7lK2s+irc4nxdsH/82u+/Y2L/MXf\nLFQLcvguB/qW8+IfHkD5o5X7Lv8nhz6u5WBjDp90trPn2DwM8/8cgJVP38Z9yc9rg5VBjRSVr6T7\nRYwKa/CwaSA14Os1brj4qdr75ONawABxsRjOnPcrrBlUNCOGNYjHGy+xan4PdKrtZo1v7h+Yozl/\nLt6n/19Ajfr1OXHtWDo7nsE3lUfcOXjn3zrgNtE5UiZTQINeMGRXwmvOuAT8yJEjZGdnk5mZCcCj\njz7Kb3/727ARcAXDmNwmY2UsAr5gwxzA3y2Sa3PzfsNcXLoiIrGx2OzoJJM6Sh15ZBJNT1oz9b0Z\n3L/7NBev3kNruUKtw0wtWTy5tp/sHLU/eEq61+9isTGnipTCTO2cmwu7+PstXSSlqxufNbtP81DD\nRyQ6DxPrWMjTHf/Oz8rvovaTW0jZ+xoNzmTO9KotZDvdUTjJJS7SS2XbnaRmeDjtWUmiLQ373kiy\nfGtYEfcBr6PeDVw1RdP+aTc9//wGke4WDGfSMRyr4fG7+1m11oxx114q6r7I35QvAsC4Kx3v1j9l\n9a5XMb5RTsYjy3l+6yyfkM2CN1U730/+azFvNNjgjdkcvDiTvEfuoO3yUm6b28U7/zMXw/wHoKqb\n1an93H/xU+jrQzGbtcZWypybUGbO0FrGQggx8wmuRupsVm2agRdfd0PfhUOkQbTIXQxmCCzs0Z1H\nPK6kqncYxmMn8dx3r7rBGBuj9V651hGwjLivPeMScKfTyc03D/yjT09Px263D3redp2fMz8/n/wp\n3KDQdx78/q5snNYUvAbjiCx9oZjoJlb64wV+LSuN0IYTPxrwu4EceCbJRafZ5iwH4GV7AWs6uqi/\npYX1Tyk8VPQF1tnO0pOeoY1Kc/53Pcs4TGbxOTKLf8QHK19g36bjnLPexgl7Mts2JXDCnsxtrW7i\nExVcs/J4bucC6uxzSCyOptU2g3RbPmd+0caipdEsKuiiP66acyULeD7+/6fKkcyCz6ZQbbfQmrec\n59Jfoa6wiJR0L5XlqhXyo/3dvG2P1HqPr8j5GtlbFtCgeFj+7rfx+ppUKaDa5RrV12ltWH39RpTY\nGAxVJzEsO6v9XmwEFi77kG8c+xXerZvIezSNqtc+wPS1b+P5hxd5cZeHby9TJ9AbjjnUCfRnzqn9\nTqwWrd+J95ECVZx9m4yh8Bs0rIuMDVUfDhQQ+fp78+jXIC7Wb4q8IYj1TttkDeE2CVqAJAkLKioq\nqBCFTCNkXAJuMIxs8sz2aWTIF50HG62zuWhtZ9M3+sZ9zMkU8EBqfDnonvQMoCvocxPth2l2pPGX\nTX/D/OYjvMB2Piqv4o9NCzlSauSS08R+RzaxTkU3wSeLlO1zqAPeb5hLys6NZNotrLO5cW3p45dP\n/Td/+Y15xM+bS0q6V9vITElXW8se+cYpvBHN2J1Z3HEomp60m8m1uTEmxZI3r5k/Ni3k7vRznN4b\nTT4VRDZc0AqbsnP6VV95US2VOUvJtVl8gysuk1i8k/cb5vLox/9E5wsXOeK9mwpWA9/lwMUcXtxl\nBrLJj2vlvqpXVPHuvMrqjt9h3FWlTpbX9cpW8m7X2rC2dfj+9+8b+H/Az+1R9aFaPanbCBX9TMRG\n52iiTn0+3LN2DYa4GDXS1kXbim9yj2GYdISi25g16EU/yAR56cEODwKD2xf01aghGJeAp6WlceHC\nBe3nCxcukJ6ePp5DXhOE28RtMKP2NZ3eCA+2q8FIrcPsi4YtWkFPoIhXkM+K5+F0aSwLqOcbznIy\nC++iptgCqLnyliZ1Mk9ZaYR2bHGuOp+dsNpuIfbUSRqrF7LzG2bea15I3O+6iTD309wVzxLfOWcm\n9PCbx0potS3nye8nsLmgi/44F+aONl53XCBl779xb04yEM3tK40k7dzIa/Y/o6w0gpiaj3n7wyW0\n2p24nA/xCcmYi2o5bXOzYEM+uYXqeDnryk+xZbSSvfVhVvZd4kBVEqsaL+t6tq/Cu+uCtkHofXor\nnrw/DRqRKqhid5spVSt9V3a9Sn5jDoYqs+as8KJGvB6frRD8e4xorWLF1J1hysa1lIiuaZbIhRt9\nzbO05+fdjum7f696vEMcUzvnx+e0DVHhC/cG5uAl1yXjEvC8vDzOnj1LXV0dqamp/Nu//Rv/+q//\nOlFrm3AC3SbjiZpH28RqPMcTiNRCSpoHV5oquCfsA1Wa+mOpqZEMXi/P48LVWbTaLZywW8gtdDM7\nzUPGXA9Js9za697eq6Yuqu0WMqwDU9mztywg9WAs1Y6l3GS5zKd9M+noiyImzkv3xS66L7qI9M4i\ns/hHtNoO0/tJCfHHq/hw978DEEs0dQXPkG5bTp1tOXcU76SOgX4p29NfpTZqITteTWDfpuOcON/K\nLRvm82hhF6LEH+Bg3z3cYSjnkvUmTIqHA8dmAHBo96fcv/sF6OsbyFObzRx6upL7U/4B45nzAFqB\nzB/mb+Fg41c5v3se7zQs5ntV6zGQzapGC6tTHSgEVDYChjf3o/g2NoO2ZNWJ+ohsdWLc2rLFKMIO\nGCxn/XGt33FDHVP0bgkcyTZe8Q62ESobVE0vxiXgZrOZn/3sZzz44IN4PB7+4i/+YtpuYAbrbTIe\nAR9tE6vxHE9f/g6qkKc4vWTn9JOiq84E2FEUS7OjkxLU4p5lOZlkxtSRa0vEtV71kcfGqyX4S2yq\ngOfa3LjW9+BqMNLZbuBNRwan1vZT6zBTtedT/qctmRlEEk87MJN4y1W6uyM505HAeWs87j4Ds6Lb\n4SQ0d8Xx1U++y8ebErRS/0RbAacbVvIQvSTalvvdMbzfMJeG0x5euLeBik8LSKCViuJozu+7wNWY\nmaQmd/HmoWTuSU6jxB6N9/gHdPRGcrQtlcMfz8QwJ5sX4gpZndtEPnsANUXBvFtR8u7FMzMJfEMQ\nDMdOYjhznheOPc93l5XynWVn1TFsu/bieeGHeLlDtZYy0JFSybtdbQ/LgPc6sHufuDiMFP3GpVYB\nqitN11ItZ84PcqKM5hzjJdhFxfjmfs3rLpl6xu0Df/jhh3n44YeHf+IUMtbeJtMFvbhXllu1jUe9\nsIsyd5fTxAlHMv3xaqR9zJHMCttx7bmi8EeU4IPaoMrlVC9qtQ6z1nUwKdlL0qwUehz91DqSSIjp\nw+JWaO9T50vGxHm52mFkVkQrDyrlmLqvUkcmf9H1j9ye9nO2s50+WxabC7t42a5eKCrs+fzL991U\n+pwydSzgMpE0R0WTltDKbTi4vCCPF16d6XuPySzpc/OefSGpOV+grjkTY3I8Rz+2cnNqDwcac7il\n9wx11ZlUz7yJtssKLIvle8fWo6TehKHuJKuTW1i5VY1iK3Zls3rrQKSt5EWh6AYtBB1q7cuRGxov\nqcIYG4Ny21y8828dGL0mepvo/OBDVSNqBTs+r7hJ97MCoUek6Y4ZNLXSeGlyo+QRVHhKrh03RCXm\nWHubjJSJHqM2VB9xYfsTj6ndAiOp9lVjXnKasKXVkpvmprm9k/T0K7xsf4DX0n7OqaZUXiuaT096\nhpZ6aXZ0kpwTwYo1vXR2GP0cLeompReXU2F53Af8y5bXeKrhe5yssuDxqHcCJ+xG+uPi+YO7gBl8\nykfd86EZcp3q+c20aYMjxHsry4nl6zsziS3uYjtv8eC+pSRc6eSKN5l3O+4h/WQT+zZVs2hNFLm2\nxdrrtqOmZVpty/mXZjeW9jYiuMD2lhfY3reTbTP/DWUmHGA13966mO/yCwx5vl7ZqA6kA1VJfI/1\nvHhsHn++1jf1J+ohVgZ83oGDHPjKs+rXj2sxdFzF88I3Ue67V/WA+/qZeH19wQUjKaTxBKRG9KIc\n6jX67wP7moyXkBcF0HLsY70rkEw8172AT3Rvk2BcawEv8eXIRU57ic3N19fY+Wh/N6SrLpTN6V28\nz1wqyKeu8BnK+DK5G9zcb3NTbVdTJinpXmIdddQ4l6iRu92iplXSPFTbLbSfbaPV3klfbySHO+7g\n2X0d1Hddptc9k8tt6h5CfbKJm+Z4iIyO4YR9PhkJzVT33EVDu1Wr2nx0tYdLThOV5VZi4xVO+O4G\nqn4PB7v/ivN9CZxBbYgVY+iioWsWp9NW0trhxVVq5KENvar90LZca+LVmdPMA03/zvH2eOiAus5Z\nVFy+nXwqOHAlE0PfSQyo0XEF+RzY1Y2S6ubgsZmsXnsTq7jMl9c6yaeCg2/286IYwya6FTbGkU8/\nq1PVH5W821EaL6HclqU2swrMDesm0Q814CBkX2zxvV6U//DeNS9N1zelgoGLCgEXFe1uRDKlXNcC\nPhm9TUbKZA043rilx+9nsRlY2XEHe+xqo6nsnBnss80jt9CtTsex+6+prDSCk1UWqu1wyakWzsz2\ntY1dsaaX7IUeykojOH0xjivN6q18QkQXx2KWk53Xj2NvJKkZqpslKlrh7vvU3uDRlj7clmja2qJZ\nV9BFbLxCSpqH53Z2+qVs1n0mmud2dvn6tXzAc6WzWOA8pAk0wOYNXVq3xXwqSGm4SCLntBYC+cyl\nZdX9OJoj+f+a/oE9zZup6byXNY0ZfBI1iy93/A7jGdX+tzpVTLU/C6mz+fbWDtilulcMu06yOhW1\n/eyr+2Dr03xn2V6UrbcDd6BUmVGiIjH81+8xXPxUm2t5YEUx+eln1Oh+2eIBAR+igGbUfUOG8JiD\n/wVhIiPjwPcQLNIXDhzJ1HJdCvi17G0SikABH+lghsBjDOd00Te0Ej+vs/87dbYi7fWnG55gz15V\n3HcUxXK+qpeErhYczancQh1N5jlcckaQYGqjxhFBjcNMSrqXK81GzSqY3X5KK70XbpXndnby+u5I\n7aKyf3cP27ee4pVdSWwuvIkdRbHae3c1PKjdObT1RlNS7HsztnxS0r1EVDWSaD/MKut7vHEog9eK\nPPSkH2ePvQAKCyAdXDY3j66vVwuAfC9/fuFhUkoP8sbvP4fHYKI/NZU9jY9yS5yVA3PuZLW1hpVb\nVXuemndeD8Dq2KMYd701kMMGjG+UQ96fqz1L9O1Rb56D57V/QPnu30PqbAxVH1LBV1i59azWiU8M\nUghVgDMWAifwBDLZjaSCRdjKKDZrJZPPdSfgkzFJZyIYi4AHOlOC/az/Kr5vZbnf42UNmWTl9Kup\nCxucqU8gKyeGJVlustubqWy/mT/d0IWrIYLndqr9ravtFqp151sR5x/5i94rRw5a6ewwUlluxdkR\nza9K5mBvzmJHUY96obglipTS11gcPRe33eVrY7tRi7Rj49Q8d8bxT3h31QaStizloaLX1XPsXEpr\ncZefI6fq+8nE+r5XN24fpNmxnP9pS4Y2aEuOYvHMeu556hYKqvaq0ahu3auWtWCo+pD8zoHIVetW\nGBfDqrUWODYQ3R5ozOF+nxvEELCBJwTUUPWhdgzjsZPqKDWfYyVkNB4gjsEi92sZ4Q7nNRfPkb3J\nkQAAIABJREFUAfw2XUHmwqeS60rAp9ptMlTEnDmOYwb2QdEfV4/4uYJ8chkQ92q7hZT0PpKSvSxc\nqm6CnrBbmJ3mobUzk0ttJm3d6tBkI9U+33hPF2TO81Cdk0unXc2Nnzpu5ughKynpXs596CWj+RQ3\nXzZTSy7zWj6ghw7uPXuCXE8/pygg0llP95pbqTy7gL6mJm2Nne0G+ulho62HTHsn7zgayCx+hVzn\nYV62F3B3+k4S7QWk7z7C7xZ+XWsh8AXd+xXveUdRDy6nibvT2ol0XmDBPcl4P47FABh9kbNp16vc\nt1V9rdYg6sPTGOouqAOKz5zns999RJtFye0LqGA1q32jzQ5dWcqB6lnQ1cP3GtbDV9SByKvybyZf\nV84+kkh4OMHTbIYjdJSMNx89kmheto6dflxXAj7ZbpPhCIyQg7V/hcFdBYdCiHbgEOFQ59e/JvB3\nosCnpDhai6DPV1mgDd9cSzMpaR5S0r1YrQqpGR4io9Fy2Lm2HnJtboq2xJMW1wJEcrktkuTPxnLq\nYDw3mS9j6r6KJyqaf6r9HA1ds8AJ63iJ5PbTPJdTRVV7Mk1dD7C5UOF06UWSDp4hs6OSzOIfEWlT\nUyXNaz5HK3dRV7iUTLuF2NJXqNt/hHW2cmId0WQWH/H7HNULlBeX00RPegZ5Oc1ciEglvstInM9j\nHUpcldsXaDMqTV95VuvJrT1v10DKYOVzCwfcKl/Zy/P/FOX7IQqlavQCGizqFRPmA8eT6YUzmKjL\nCPjG5LoR8GvhNhktQ7V/HSmuBqOWOxbzMEXxzVCbpNV2C7/5RRQLl/ardwOFXXS2G9Ty+DgvKekD\nVsGoOW5efrVNy1m7GowcPWQlJs6Lx2P0K7UHaGk2+p3rfWcW9b0mrvYbOZN8F4s5y0VjGp/t+i9q\n4m6nouM+/vvqZu5xnuG0o4CbEvKoKz4LaTfzm+bPUc8aEm0F/MReQIVvStAJu4VWX5vblqY/o4J8\nWlnOHqKpwzc8GTfY4WffV33ptQ4zJ+wWqm02UhwenlAWkRuZQdYQn2+w2/8DjTlU6F0pa5+CXbN1\nZftBjhPQtGokBItotfJ8MTeTwemVye40OKJe39KBMi24LgR8Kt0moRhqwPFw7hR9KubtvZE87ssB\nD/TiHlz1OSh9U9hF/TkTd63qY7Yv2q51mFXHSrmVpGQvJcXRvO1zlJQUR9PSZCRplpeTVRbMFoWr\nHUaudsC3vhJPT5eBD95VsHq6cXaYgSSO/MaJgUhiulu42jGb+Jg+3mteyIWbMmj4NJYY43yudkSz\nJuE9Pui6i7vS+nibSFITPLzWcDOX7CZmp3lwNRh5KK2W1sLlWpHSuV+c4N6GU7zuyMPo+IATPEI+\nFdyTnEauLc3vM1xR0KfdWUQ21PNc+itENtST8p//RpvzHkxH3oPGTzGgDIpe/b7PvweAVWvNrMyr\n0R7/9tYODFWH/Z67Kr8HiCKQoYR1uHTIoK6Kvk6FynzVjXKtcs0jStnIiH9aEPYC7rLedE3dJiO1\nB+qfU223kOiLxEfy+lBl9SW6vPpIXlNtt7BxSw+V+yPYXNhFWWmE32BkUCs7RTfAoi3x1DjMdHcZ\n6HernSZj4rykzeigk1gK1ilAJHuKIcLQyydtySgYOXk6HgCDQSEtoZUfrXiNl+0FLHAe4nzGPeyL\neZJ8Knhog4VWuxPvLTdrEf4lp4kjBw00z9qIscmsfUYszSOlcCGxxdE8lfNj6tK7WFe4lJ6iZi0d\npL9gRTbUU+3MwmqdS91O9U6nJz2DusIibv3JD1G2PsYs92WsSujPXgwPDiZOgVHvqk0zBn43wjx1\nqMhZNOAy4NtUBZSkRFW859yE4cw5DDNnqOd5c79mZQS5gXijE/YCXht5yzU931j83dV2C7mFox/m\noH+9SGOIwQ0QvHHW67sjKSuNoLJcLaR5dPUMLjlNPPXFBFqa1Bawb++N1MRPFNs8uTaRliYjV3zp\nkcgoLwYjWCNghqeZM84E7RxZOf3kcpIVz8/jpSd7+Y+TfWzbZMZqNVDjiGOH8y844bRgJwuLS2FZ\nymHO1CewyN7FFVMyX32qW9tMFdWkz+2Emt1HgAVqRL6hVztfpLMefE0u9QMu9O/9OV5h34a/oaw0\nYtBnl2kwUBd5M0YUZrpbhhTxQFYtC54y0TPelEaoVIoev9x9kGEPkhuTsBfwcCAwjy0YSedC8Rzx\nvFApFMHGLT1kL/SQa3OzbVMCt87rp/y3EURGg7vPgMuppi1unddPQpLCudMmah1mUjM8XGk2MiPZ\nQ1+vgasdRswWhRkzvdjrs7SpOWKAcl/TTVTbLUSYe6i2W+hsNxAbD1eaTTzyWC+d7QbSrtZSQzb3\nrLNwxuf77iQW6NRy6q4Go1aZ2WqfQ6JDvcCI3iwn7BaSc/43rgZj0Iunlp9PH9ioFbTallNWGkH+\nBvXieS4yAy8Gzrzn5r5ll0N+hnoHyH3HTsKxsffXHqr6cqhjaB0Kdf2+JZJApICPgLG0jh0qjz2a\nzoVjqebUC1lCkkL2Qg8vv9rGtk0JWiolIUl1R3e0qcU6Dac9ZOUoWqn7/Iw2Ghoj+XHebk7Xu2iN\nX87dDbUssM2BDflU29XRavPn91BtTyQ7p5+390ayxCfwbS0GEpNm0ugw4WowEhPnJTbOS1SMet6H\nNvSSa3Pz+u5IKvdHsGPD2ySmH6ausAiX00RJ4Vsk2g/zMgV8wf4zvl5wBOzqAOdfnfosG7f0kGg/\nTF1xNN0XMyjZG02rXS38iWyopyc9g1xbPi6nyW8j+UJEKr87Dvcrfwhd8i6m3gxhmxupMAcrTR8K\nbVBDwOuCPUcikQI+AsbSOnYseexgDOf9DpXSKSuNwGpVND93SXE09bVGykojNPEEtEg4ssHJgoI5\nxMZ56Ww3EBUfTVe9hRI205rmJG/NbP7+4GqSSr1a3xSAJTYL1gYPD23o1XqLby7s4sm1ifyv5y2Y\ni2qBNKwRULk/glqHWbMxlpVGkEkdJ+wL+Ou/nI2n7XMkl9dxwpHHL0pvoye9gBZrM/tsf8O6wqXa\ne6ssjmDjlh6fyyeaW4HNdPF3cffwuK2LBbY5VNvxe+8DfxO4aoqg6cOLNK9az22H9mFYtmjIv4Hf\nbEsfFeSzeuvIPNEjTbGE2mAdjWVQ9uu+sZACfo0ZU/5cF1GPRMCr7RZcThO5NrVHiYiKb5rj1SyI\noObLq+0WrnYa6GzLorm8n+6rBjraDIAqxkcOWknxuS36+gxapaboVCg2S8UaY+O8WkqlrDQCuzOL\nGQc9Wm4dVM95ik1YIZOpo4cFzg622cqpKyyis6iHR3cmA124it7ifae/EbCz3cCOoli/C8nptK2c\n6Y3mrlV9YBv8OboajJQ1qNOH9vw0mjjb52n7h1T+5IKVz94ZSdSRIyEjapHK0BO07ewwDBc5T4Q9\ncEKOIS8CYYMU8FEy1pTGeF4PhBTwwOeInPAJn6gusbmxWhVcThOR0f4poFkttbxsU6seXW0m9hf8\nIwD74x4he8sCHlg4k6RZXlbltNPZkegXzar9Uvq08+ba3LS1GHjjN1HMnXWFS04TH5W3EYnCleYo\noi29XGlWNxjFxmnL8WZSSt8i1pFHouMwiRwms3gnmTxBtX2O6t5xZvETewF/3NJH/TkTsfEKtQ4z\nibRCfAJ3ruxj4dJ+ttk+YnNxhnZ3oS9qEnc/6bt3UeWYyem0Al62P0Cd7RkSLx6mtToB7102okOl\nS3SieKBqQLiF0AWd0jOC0vTJZqxCPBUT7SVjQwr4KBlrBD2a5wbLuVfbLVitivZ9qJy88EM/Xtil\nFeoAWrSaldOPq8FIdk4//1meQ1NBFva90cRZu9nOdmodJi42mOgsMeDuU6szXQ3zSZih7ygCScne\nQe/rG9uvcv6smf9VaKG/2M3Lr3rZt6lSLe23eYAu3vhNJI881uOL3BMos3+Z96oiKCWPD6xPkEQy\ns6JrWWd/iXVApv1HvJ9Ww2tLd9H6lFoYtW1TAq/bdlJXWETRlnjfXM/P+V1gVqzpZeOWHq3iFMDc\n0UZZ+v+m39FFa/q9ACTa/0irbTn9R4/iXpqN5Y4FgCp+B9/sZ3WqQxPgA405vPjxn3PwviRe3DUP\nw7J5KMeyWbXMf4oPjLzsfKybnCM5hqHx0tim58ihDWGDFPBJZqheJqGeqy+dr8zp13K5ANs2JZCS\n5vHLY4fKyVfbLbQ0GVm4dGCDsb7WBDmQvdBDyy61CRVAR18UleWq0+Sh9T10dhjZuyeSjjaj1m2w\ndM+AhfHoISt9fQatBF9cUISIuhqM/GR7DIut3XQ2G3A1GKlxmLnSrLpJ1NJ8t5aC+dM579K6dLnv\nvcyhDrWb4rpC6LFnsM/2N0E/u8ee6gbQXDcvv9rm9/5FL3GAffYCqrFwwpHMdtt2WlnOQ+vnklK4\nEYDZ7iZu7bmgdROsOJbNyq1qQY936yZWAqt39fJt32PfYS/erYOLeUbDRPQXCXWMYAOdQ+F3EXhz\nvzYRSPrMpzdSwMfAWHt9jzYaB8jO6dd6kVTbLX4CFfh8fVT+4PoeqrGQNGvAduhqMNJ0cWCS/ZVm\ntfJydpqHuUnNzL8vDhjoOa6mYxS/oh/9xUJE+5cajZq98ATqGiIiFH7/ZgSnElZTW29mRUEfNQ64\nc2WfJrpizSfsFsw5S+n3/SwuXiXF0dRRoF0U7k6rJZ8KHrGmar1lMvG1LPB1YNR3fay2W9hmK+f7\n308jPf4KifbDnKCAe5JP4bVGkGtzczfnqPO9nybzTPqjzCzIG4jaD1QlYQworTdUneRgYz+HLjaw\nkuF7cF9T14hvRBuM0rY4CdN9JJOPFPAxMJJIOliKQ99PZCTPTUn30tJk1MR7sKPCvy+43lny3M5O\ntd2qb+OufF8E3V2qT7ux3qStpaXJiKcfTvcm02X3csKXQ3c5TfR0wSWniW2b1CIe4SAJfC/9bgO5\nNjcl9mhmp3m0yT6Xm8ATE6OlcwRCoPXHaCWRWrvZlw4ZuBPZbOui1a6+9tHCZGAjKUBd8TNab5lq\nu4Vc3BTMOz2oba86vSeWdTs7ySwup44uEu1O1u1eCgy03gXwGoxUVM3k5+8nkeRu5aVdWaxadpnV\nqW6/PijPb41iZVU7K4+lBxW6UG6S4XLSEyH0im8ep/aeRijEkzUcQjK5SAGfBALFVPD23kjNaqcX\n4KHshguXqmXur++OxGodiIaH2tSs8QmtPvXS3WUgaZaXK81oRTl9verQhshoLxbFoOXIU9K9Woqm\naEs8jz3VTa5NHQYhUh5//2aMVuUJqiulr9eA4lWYkeyl5pSJqx1Gah1G6mtNlO+LoLHexIPreygp\njvY11FLvDo4ctPDc+vep7LhDtTH62tnuKY6m2vY5bdanuKjFxnl5Wvd+heB/Len/8H7DXMp8KRxR\ncSo+gwXOAlxpat8VUG2JgV0hF9/tZYnNy6z+PryG85iVfnWCj8CXH16d1wLHgv/9Q5bMD7M5OBFC\nOdZj+EXgjZdkBB4mSAEfIWMp5oHBlZNDechdDWqp+8kqC431A10Vy/dFaAUw+vWI8wciepuUFEer\nlr10L0mzvNQ6zFpjKwCjURxTtQ5m5fTT2W7we099fQZNIEV1JKgXlpR0r1ayr7pDTETFeFG80NM9\ncOGaleJlcZ6bxXlu7cLg74c3qPM8bdDZYdQuEvgid/1nL6J3vfBGNtSTWfwKifbDPGr/EXcXnoN0\n2LH+CR7dmcy2TQns2PA2KaX/SgW1PLr3q9SlnwOCt/b94EgE1fZbcBxTOHI0Rnt81bIW8tkP3KFG\n08sW+7lSxstE2/fGGtHLqTvhgxTwETKWYh7xupESXNwGCEzBBG6Q6vulVNstWnTc2W7gktOkRd6L\nl7lxfmKipclElLmX7q4ILFaFznYDiUn+7hK9i0N8ry9Xj41XtK9iIPJDG3opKY6m5pSJlHQvv3qz\nFVDvKspKIzhdepFKR7a2+Xml2cg7LCQjbeD96c+h98GLrxXkU11sIbKhnl17FxBpKyDRHk1ezlIW\noVoh33dm0VPs5oTdwsv2AkgvINfm5jXAZfsz7diBaJvINgt3/fFTnvlKA5FedV/AeMyBlzu0HuMH\nd6kCHtI2GBsDnVcHPR4sNTHR9r0xR+Oy0jNskAI+yYzGA67/vRDrGodZE2BQBUx4ofX9SfzSNk4T\nL7/aRklxNKeOm9m5u11zr7Q0Gblw7CrHHMncktBMX38kESYjvX0WLO5uPj4ZS9GWeK3nt/Bsl5VG\ncMlp8ltPVo5a+ANQX2vEGqG6UFLSvdTXmoiMUrTfA8TGeXE5LcS2d1LrMBNh8eA82QNYcDSn0V7e\ngrMjCWvTp9T3JbBijeogKSuNoKVJ7VE+O02dcO/ytdZdsGEOj/s6FWYWlwPR1BUWkQ1sXtilba7q\nU0/vO7NoHYGvPtfmpqw0npYT9aT9cT8GlIHBC77Zl6Bubo7UTRIOqQmZ8w4fpICPgbEW44xm4zM1\nw0NUjEJSspdah5UlNjed7QbN4gequK4o6KPabqHmlGnQxHpXg5H6cyZKiqNVYV3v8QlzIlk5/dQ6\nkom29NLrVs/rtkSRmuHRct6BqQtRAi8siZ3tBqJi1Jz3lWYTd67so6/XQGW51a+rYdGWeJJmqTnv\nE3YLkWkzWGJzc+60ic8/bqLa7iafCjIL76Kk2E3S0mTeLBZuFKPWp3yJze2Xpw/8PN9vmOvrVuj/\neYt9B/E5R6bdPKq/2yf3Pky77V5yDu7Fu2wxBxpzOHgsG2XXPF48Nk/Ni6cOPfAhFBPhA5fcuEgB\nHwNjFfDhjhl4XBE1btuUoAmq3uI3O82jPWdHUayWetG7VTLmqs85ddzsGzumaPMwY+K8XO2IIDXD\nQ5PLqOW59WkZPaKQ6PGA9NGp42Zamo089lS3ltYRpfYn7BYWLu0nsqGe/IYKOnPyaHao5fgdbVl8\nVN5FJ4kcv5rBOl8KRuS9Azd0hWgH/k6st4J8UmzJQT9bEckfOWjlSvMC7XeiH7reV68nJd2L12Ck\nzRSPY9V6co59xMqtd7A69VW8W20o363k2y90AAMbnaFSEEGnvMs5k5JxIAV8GiEiXr1zAtA2FkVL\nVdFr5JLT5Jcv1/u9QRWft/dGsqMolvpzA+1ZZ6d5MJngaoeRqIh+mlwm3H0G3t4bSWS0ojlPwH/O\nZkuzkZZmIzUO9XwivRIZrdDTZeBH34olKkbh1HGzlvIZWE8mJWymBjO1mJnRq0bFxxzJZOX042jP\noNre5/ee9S14RX4d/PPy+jX2pGcAg/cmak6Z6OxQHSxXmo1ab5hcmzuocIfasF56l5X4e9eQZIxE\nPGpo/JTAyTwh/eAyopZMMFLAryGhGk8FerlFtAiq+An/9Qm7hZNVFjweNIEsK43QcuL6VIFezIUn\nvNoXDQv0trw9P4smJlbhktNEX59BOx+FXVoVpbhoiNFuoDpehBtFjDYD9Y7goQ297CiK1Rpgqame\nfqpKLrFgwxz2FEeTldPPioI+X0VoHy6niR1FsdQ6zGTn9FPjy/WfsFtUl4qv8lPfL1xfBSrQf6bC\n2eL3uaPm6oP9TYbasD7P5+ntu0TqnXlEAKtTHcAdQ/7dR4rcPJSMFing15DhBFygTxNU+zYFxciz\nnbvbAfwqM4U4B3rEAU3o9MUzorxcPxz59ZIozf+tF+FTx81aCbzgyEErN83x8GmjEWedVbMM1jrM\n2rzNlmYj1Xavdpcg7gqe29lJ/UF1rft2QWd7BKeOm/0uUp05Bpb4ouNqu3qhWFHQp621pDjaL4Wi\n/36brVyzBerTK+JzqbarE4BO+L6KqtTRpMW6jtfg+V0F3qpq7n9zD55UNe0x3ry1jNAlo0UK+DQh\nUESC5aFFGkQQzNYXeByrVdHy0XuKo5mRPNDP+86VfWqb1dIITKaBCFYIX0q6V4uexQWjs93AigI1\n1bGn2OLzjitkzPVoRUf6dQgHiEiHJNoPY21Ow1VURXLvGqy90RjPdQNZ2vMtFsXvbkS/oTqc0IpK\nTPH8kuJovzTIijW9ZC/0+LopejXLpb76U0+w87XalnPFfpjur25hnuJB2frYkGuSSCYLKeCTTLB8\nqj5HLR6rLLfy9eev+t36C8T3wnOtPabrex0o+OLr0UOqgyUl3es31V5ExSIV8vZeddRaSpqH2LjB\nDg9Q0xfZOf2aoApXyOw01d2i96nrX6+vCnWtf5AjTVbeblxKJyZohhnJHswWRXv96Q8tuN0GrUhI\npHGCHTvw+1d+sYJ63WZurk1tqRsb5/Vz6cTGD1S1DuXpH+qC0WSeSZJlBkkhfh8OfbXDYY2S0EgB\nn2RGUgCkH4oA8JPtMdrIsz3F0ZT5Im19XxIx01KUnOM7hqvBSG5h8FJ+l9OkDUUWqYTAtItonCXW\nLoiN85KU7NWGDQeKeGz8wJBi/fsQCKF3OU2+2Zte0uJaiEyPp9ZhxmxRqHGom59Gk0K2z+MuvoqL\nnT7PL86TaD9Mov0wmUDJoWi2L60EIHL9EzxamKxWpHYY/aL5wI3QkSDOA2jNtGj8lAsfXSZ18U2Y\nFP9jhkNf7XBYoyQ0UsCnEP1tvt76d/KYRateBH87och569MLwfqtiMdERebjhV2kpHmwrlQvDMLP\nbW36lFPNqTTWG+m+OtA46/XdkX4Ra43D7DdJfrOuzF2sQb9ZqX8f1XYLketP80HTXO0YJ+wWZmWY\naGs3+HzkRm125lWf2IJqgxTHhcEXxGq7hdzCgXL4j8rrqCvMBKCnOBro8tsY1rt8xOc0VGpG/7vA\nsnvRTMuoeOntv0x6r0ur2JRIrgVSwCeYocQgqM94FJFgZ7vB7xxlpRFarlo7doCwqgMdfJWahf4b\ngABznR9THz+H7qtGZqd5/CyMRw5auWtVnxa9XtprojogVSM6FwpBFI+lpHv91pvovADWuX4Xm07U\nBlhig7Sv14DBMPBer3YYSUzyao6WUJ+vPk1V6sgjtlh9f20tBr/8v0glpaR5yC10j6gdwkjy7l6D\nkUuWWZgUL6l/LCfqaBUwfQtzZPHQ9YMU8AlmNAKujybL90VoIlTrMPulSgRJyV6/19f4fNj6XiFi\nDWIj8u29kVrqYsUaf89zSrqXbenltLJcc6foj1VZbtWqPi85TcxIVkvkxVAG8RoYcIO8vjuSIwcj\nsUYoWsrH1WDkgaRoFtp8AyN89sJX371Ctd3Cz74f41eef/6M2slwie/zEZ5t8d4G7Sv4hDjX5uaj\nnGY2Fw58RmIikWZFBL/JRKEKeIYjsAEWQKN1NtxbwJy8JVokPh0Lc2Tx0PWDFPBpwuI8t5YqCEyV\ngCpcfX1qRCmcE7UOsxZhnjqupjj0fVE2+zb/xFQeVYw9JNoPc7r0IscrP0f+p3/JJ76ylP/8ZzOv\n/jyKm+Z4aaw3EZeg+qRFBWZ3l4GeLoMmfi1NRs2vfsJu4cm1ibQ0Gf0sh3XVfbT1xvChM4YTJ6NJ\nju7go3K3XxFSUrKX7BwvKemqhXHT/TNYnOf2s0/qI2m9YFM4kCKptls45kigpHjg9+IYYoycyPHr\nU1CCQMcLhO48GUzAQRVxj8HIrT0XGNz9XSKZWKSATwAj+Qc/HCKSDTyu/qvoZyLcIiewUOMwc+Sg\ngSvNJo4eslKW5tEKeyrLrXxy1kR/v0FrBFVZbqVm/WfZuLOHnwCZxTt5quF71DjM/OrNdtYuSyIq\nRtGaRoGHvj6D1pslNl4J2mPkwfU9fhegXJub13dHsu94NzuKTCxwNgFuTtjj+HyBiVYGLjYiRSLe\n5xf/vJuyvZFAPyXF0YOcNPrUR2AhlIjWxd9E/D3E3Yr+bxPYKkBvJRxu43koxGSfnDAozJHFQ+GN\nFPAJYLz/4MUxBCvW9Po9HmiVczlNmniKZlZR0f5RvEhpbLp/Bh4PWl+SlHQ3lfsjyF7o0Y4rqixL\niqPpbDOy4fEeNeLvNbBiTS81DjP1tSatR3l9rfr1SrORrJx+YuMVzW8OaFN9rnYM9DffnFdLa/py\nvzuDmlMmvxx+zSn1uBu39HDkoFV7LyLXn2tzU42/6AbaJ/XFSYF/D7Fh6WowDvKHjyWNEgp975R5\n3ecHuVOmEzLnHd5IAZ9mVNstdHYMFpjYuIFJPpt9aQP9kOHGehMeD9q0m8pyK9X2gcEQnT63hxh3\nJgQv0bYc8x8UTCaDNuC4rDSCvl5VoMv2RhIbr9r6jh6yMiN5YDiE2aJo/VCycvppaTby9eevUuMw\n8/Xnr1JWGsFzOzt5cm0iCzbMwcXAeevOmjhyUH2vei+8KLA5esjKk2sTtdy4sFNmzPUMirr1dyqB\nKRHxOYj8t8tpUjcxg6Rfgt09jVXY+w0mrpgSOB95s3SnSCaNcQn4M888w+9+9zusVitZWVns3r2b\nhISEiVpbWDLcP/jhXA2hokd9WbgQHYsvGD1htzAj2euX3sh29GtRd1ZOv1benpGllpFbraqHvCzt\nQT4+aeFxn3NlRrKX1w5cAWDT/TO0vDEMpEZEIdAbv4kkI6vf77Fcm1tbhxDW2HiFCvL93ld/vwFr\nBH7FNPpNRdFbBQaaWQFaq1vxWeptgUts/ncquTa3Vhwl8u3B0i9D3T2NJzLXu1OivD1Ee7qJ93QM\n/0KJZISMS8AfeOABfvjDH2I0Gnnuuef4wQ9+wI4dOyZqbWHJeAV8uGPr8+1Xmo1UlluJiVN91Fea\njVrPbr2jRAhsYDm6ECt9dWZnu0F7nseDVviTku7FalWIjfPy1BcTaG0xauesOTUw81KI6VNfTODT\niyatmnJHUSyx8Qp9PeqYNtGMa/3dSXR3GTh13MzRQ1atR4vode5qUGd2wkDjqkDh1RcU6S8c+VSQ\nG2Kzcai/1Xj+RsFotKojymb2X8HU6yHGM/oUm0QSjHEJeEFBgfa9zWajtLR03Au6URiJSMTGef1a\nqgr04iWEN7AboEBLF+heG2g5FKmTPcXR3LZ4YHDDJadJsyCKC0LNKROtLUafRVG1/Ynct/9FAAAc\nd0lEQVR+2qLAR0Ti4rwichfedZfTpAl4RpYHq1Xhsae66eszkJKmFu4UbYlX15/upafLSEpaH9j8\nOzbq+58vsbk126FWoVl8WIv8g33WwRwoI/3bjIXL5hm4DRZyus5iVvqHf4FEMgwTlgN/5ZVX+LM/\n+7Ogv9u+fbv2fX5+Pvn5+RN12rAgmEtFiN1QQhE4YSfU5mgwR4VA73MuK43Qqg9FZA2qjU+fyhDr\nFVGtaLsaG+fV3BxiEzU2XvFzo4C6WVjWEKG9T1eDkT32aFzre7Qc9AksWKyKNuZNVKOewILLafIb\nrqzvoKhPIwW7MOlFOJPgaZJgiL/HUIhGWeOhwxTDyZgFLL56OqiIy94kNy4VFRVUVFSM6jXDCnhB\nQQEul2vQ43/7t3/L2rVrAXjppZewWq089ljwrmx6Ab+RCJauEN/vKIodd5Snj9BFe9TA6DfwHIHr\ngIGJNwK9CIoCGKtV4VS1GWuEwpVmNVVitijcOm+gA6FwkQDaZJ9cm9pIqnJ/hF9f8shoX2Sd7tWc\nIyI6f/nVNl7fHelnVxzJ3kHNKZPWr2SfvYBM+49ItBWQWVwedPq8HuFMgdB3OxMh4AoGuo2ROKLn\nMbfnk0HplMDeJFLQbxwCg9sXXnhh2NcMK+Dl5eVD/r6kpIS33nqL3//+98Ov8AYjsGeJvveJ6FkC\nI/OLB/u9agUciNKDRZD66F9/zpNVlkGCpe8Los+bi6ENfX0GrSlVrk2dafmN7Ve189T4enqL0npR\nfJNrc1O5338tPV1GbShzbJwq0OJ1oh8LqHchgdF1qM+ms8NIq205FeRTYY9mm+0dfmIvUEXXDrkM\n7qMi7kre3hupjYoL9JpPNAoG2k2xXIhIJbX30pAbm7LZlGQoxpVCKSsr40c/+hEHDhwgMjJy+Bfc\n4OgtgOKWfaT51mDPCfXaUKmGstIIP090YDQe7Hhq2sRKSnqflmsWxTIidy6OXeMwazM3Qe2lkjRL\nTdnoJ+fk2ty41vfQ0mQc5AoRaywpjtYuCBA6KtavWUTR4nz5NgblxQM/U33qJNgdSdAOhAxubDUW\nLptnYFAUzIePE3vUDgzuTSKRDMW4BPyv/uqv6Ovr0zYz77nnHv7xH/9xQhYWrogoU+SZhStD38RJ\nPCYizeFy4SNhqA05IZz6drRCZAM7Fwa+bnNhFzUOsyZup46bMZlUkat1mLXy+ahohcZ6teuhq8FI\nV6eBRx7rGeR00a9R5NP9RNhXYq9vPiU828GiYtFhENCiaJdv7NvmDV202oe+u9H/XYJ9lqE6EE4U\nzZYklBUPcfOdt2vpFGXZYgzHTmI4dlI2m5IMybgE/OzZsxO1jusGfbSnt+cFio9+Us1oxHuosn39\nsUORkubROvKJ9QW6UgI3RUUOGvx92A/fPlOrBBV+88pyK21XjPR0Gdjju0DpJwcFetn1j+fa3KxY\n00unr5GV3hYY6j0FXhj0039abcvJJfgdSmBaKTB9dC3Ru1OsyGZTkpEjKzGnAJHvDVbOPZJcuCZ+\nutaxMHDrH5hf1w9t0F9UxGMidfH23kgqfaXxTReNfr7uSp9dUD8FyGRStA3ZlPUebeNSjG7LyPL4\npYyq7RZqTpmo3D/QAEt0K4yN85K90KM5bwILbwIvMoEXMTF4Wdz5PLi+J+TFMTAFM9J893hTJkMh\n3ClL8nJlEyzJiJECPomEcoLoc+Ewtt4pgYKmP14wURKRsD5P/PbeSK2zH6ibdzUOszb0V+SP9dH6\n67sjtYKfqx1GHl09g0tOE6kZHtJuUY+fldNPrcNM0qyByF2I+MYtPWzcovZaEU6cPXY13125P0J7\nH4F3AYGWQf3PepGvtqtVpUN9pvoLgH6QxnAX0MkUcOFO+Z9VG/3cKTIPLhkKKeCTSCgBD/XYWI8P\n8PruSK13d6AoAfzs+zFk5/Rr0am+s1+13UKJXRXlWoeZ2Hi1G6FoIytGsYlBDUJkRdvbbZsS/C4g\n2zYl8OD6Hu38QjD36OZwxsZ5B6U/xF2D3ho5UnHVn2skn5t+43MyHSejIZg7Rea8JUMhBXyKGU/+\nu9r3WhEtixJ6VxAbXGy8wnM7OzWRFKkPvVhm5fRrwp2S7tXy3frz6qNdEc0HlriLiF28v2DOls4O\nIyvW9A6KhgN7fQ8nroHr21Mc7Zc+Gc6lE1iENB0Q7hT6kL1TJEMiBXyKGY2AB0aO+tax+ufoNwcD\nUwX6TUV9v5TKnH5tGIMocxdRe7Be5bk2Nxs3d7NxS49mKywrjaCsQc2lizSK2HyMila0Qc2V+yP8\n0j1iPueMZH/RH2k0Hfg5DmfPDNxMnY40W5JQDAbZO0UyJFLAw5Qah1kTaLHRuMTm1trJBqPabqHp\notFvfmXNKROdHUbfEAg1fy3K2PWVk4Hl97k2N9kL1QuBsPqJ3Hvgz0Vb4qk/ZyJjroejh9TmWyLi\nX1HQx0MbeklJ9/r1/RbnGCvj8ddPF2TvFMlwSAEPY/TRODY0292Rg2qBjahiBFXQXn61LWhbVVBz\n6IJahxmX0+uXhsgtdPvlrPUpk1BpCkFLsxGTSe1CKCb9zEhWhx63tQx0PxRj1vTdFIcjUKiHirpD\n2S+ns4gP1ztFcmMjBTyM0ItQra5KUd/oaXNhF9s2JWgbmgKRNgnFxi09dHYMpEL0Aqq34wX6xPV3\nAXpLX0uTkfZWA2WlM7SUjMcDXZ0GYhPU6P+S00R3l4HzZ83ahimom6aj+UwCi4/0a4Hgwxmmy8bl\ncAzXO0VyYyMF/DphqJyx3ic+1CbfcLlnIe76tI1+09Hlc56I3iJLbG5Sor1aW9qHNvRqja062wcq\nNcXx6s+ZBk0MGuseAYSPSA/HaHqnSG4spICHEUMVoLy+O5LyfRGUlUZwydcUqqw0goy5Hh57qlvb\n8ISh29KKr/oSdRHNnjpupqXZqPVFme2L6vXCry+5X7hUveXXxpk1GAEjVqtCrcNCbLwyMMUnzutr\nTTt4MEOgiI83HTKdUyZDId0pkkCkgIcpgSkRUSAD/qPPRos+RaJvfAVqDltMyllic9PZbvA7h14Y\n+/oGfldZbuWh9T1kL/Ro1aBHD1n93kNnhzpPU58KClyT/jzDRdriPUyWB3+qkO4UiR4p4GFKMGvf\nSBhKvKp9VkNRDi9oaVIti2KDUQi6Pg8fKKopaQPDh5OSvdrFRX8Hob8rCMxlB64rMAc/kvc52j4z\nk8FI1zsapDtFIrjhBXyi/oFNxj/UoRjqXCvW9GoWv9EeUx/9ivx0ZbnVr0OgOIf+ufoNRFD7sYje\nKMEQQ5WDpUJC2SDFeYZznVzrv8VQTNZapDtFAlLAw1bAhyJwFJueYNFsMCHV2wTFrE3Rq1v0NNEX\nEAX2YxHoG2fpSZrlDZoKGWpNMLjTYrD8eLC7iOluFxwt0p0iASngNxShUhPBhPT13Wovc9GlUFgD\nxc/gP8FHf0wRtdf6io1EP3RR4JNrc4csYQ+2plPHB/43HW6SUbC7iGvNtfKcS3eK5IYU8In6BzYV\nxSHBBHO4NEJgxaZgqL7hIoov2hKvTaZ39xlw+SyBsXFeHtrg36hKIFwllfsjtOIhvV1QfxEQzx/q\nPek3RGGwKOs96RD8LuJacq3tjNKdcuNyQwr4RP0DmwrfcTBhHk7AxTrFJqRAiKg+Mg481sKl/Sxc\n2q+9/uVX29hRFOubxxn6/VfbLXS2G/yOpV/HkhD5c9GkS7+e4YqQgjlXRjOu7npAulNuTG5IAb9e\nED1KhnuOGNwbbEwZMMgKGHhn8eD6Hq3drP64oS4c4j/hUhGpFnH8QEKlQsRx9GmTUBucoo/KdONa\nrkm6U248bngBn6h/YJP5DzVQUF0NRlxOk9a/Wy9uooR+T8DGoRDpwGKgYASLrPVNsoLlrwOFX1/o\nIyyPP/t+DLHxA0OPt21K0Pqe6N/nSNrKBn4ms9M8g6pLp0MEfq3PL90pNxZSwMNAwPWiJDYDRUSt\nr4ZUvw44UIJNWdcLbWCHwdg4r5+DRTxPWAizcvp5vSRK621SWW7V2s0G5rDFTEvxs97NEqqhln5t\ngemYYJ/JUOcKxUSK+nS4QAQi3Sk3Fje8gIcb+latgcIl+nID2rAF8J8bqXd5iKrIYEIvCDb6Tf+8\nYCKsz7frRVm/uajPawfm6wMFezQi6WowUtYQEXRjVRz7ehZwkO6UGwkp4GGGfnNPiGQwYdUPawg1\n2SZUCkX/+/Fs8FYzuN2sfgiz/jxDFeeEEkm96P/s+zFB1xpq/dNVfCcS6U65/pECHmYECl1ZQ8Sg\nSFv/vOphUguxcd4hXx/seGLjVD8nM9RG5Ejex2h+F8hILjKhCpWCFR6N5HzX2jo6HqQ75fpGCngY\no49AIfSAXn3qIDD//XjAZmGwlEfgucT3+vmagQTLYwe7qMDECGF2zuANu2BrFusda5+UqbCOjhfp\nTrl+kQIe5ujFRAxCGBQl6opo9OmXxwNSK/rfCyZKoAIFPdAtMprzBF6E9AVKQ3naAzdlg63lekW6\nU65PpICHIaHSIfoOgFok7Xte4OT4YIxUxIK5WFwNRrJz+oPaGHNt7qCbqqM5Z+A69XcBIqIOdSeg\nj8SDbcqOlXASfelOuT6RAh6GBKvGBP8OgPr/9B5wfXokcDLPaDYPgwloYBOtwGIcka7Jyun3+90J\nX1QceOyJYLgN0vEQTgIO0p1yPSIFPMwJJnihhiyMNj0SLAUxGtEKdb6JTNUE7gOM9nU3ItKdcv0g\nBTxMGMr9oP+9vlmVXiTHI1j6DVD9cUQaZSQ5ZX0KJTDiHg/B3t9InCI3soCDdKdcL0gBDxOGi1j1\nKYlQTpShftYTTKiDPX80UXRgteZkujfC0SkyFUh3SvgzdCckSVgx2vRGKPSFNoHOjZLiaHYUxQ4q\nxhmuqdZE+b5DMVxRkiQ4wp3Sb5CxXDgiBTwMCfRTB/vdeBGirU/LLLENDGMYz3kmI30xVGMuSWj0\n7pSrpsGtFCTTGyngYchoBXwk0akQbBFp69u/Cr/4UA6RUBN2hlr/SNY0XqSAD4/endJuipvq5UhG\ngbxvugEYqXtEL9CBBT7BNixF2kR0Rgx2nMlcd7iVtU93pDsl/JACHmZMlmjpI+5AgvnER9M4arKQ\nm5UTj3SnhBdSwMOMkYrW67sjQ1ZFDif0o3GsTDQyqp56pDslfJACfh2hTzl0dvg3tgpVZl5WGoHL\nafLrK54SMCQikFBR+kQwkgtUsNSKFPeJRfZOCQ+kgIcxE1kpGWpKzkjOG+qxyUIK+OQje6eEB+MW\n8B//+Mc888wzNDc3k5SUNBFrkoyQoaod9ekH/SDgcBpkEC7rvF6RvVOmP+MS8AsXLlBeXs4tt9wy\nUeuRjJLAZlaiYdSD63tGnH6A6SmWoy2Pl0wO0p0yfRmXgH/zm99k586d/Mmf/MlErUcySkLljIPN\ntxzuONOZwPcphfvaIt0p05MxC/hvf/tb0tPTuf322ydyPZIJYjKj1+mQhpkOa7jRkO6U6ceQAl5Q\nUIDL5Rr0+EsvvcQPfvAD3nnnHe0xRVFCHmf79u3a9/n5+eTn549+pZJhCdX3eqL90hMtnmPZfJW9\nT6YG6U6ZPCoqKqioqBjVawzKUMobgo8++ojPfvazREer0VxDQwNpaWkcOXKEm266yf8EBsOQ4j5e\nKmqbJ+3Y1yOhJtdc62OM5XiBdxL6eZ4yGr92GFCI81ydEHeKZenDE7Sq64+RaOeYUiiLFi3i0qVL\n2s+33norx44dky6UMGCsQjcdNhFl5eX0QLpTpg8T4gM3GAwTcRjJNWCsYjsZaZipviBIxod0p0w9\nEyLg586dm4jDSK5zAgcMj+eCIEV+eiDdKVOLbCcrGTXjScNM9RokE89l8wzORd4ih0JMAVLAJaNm\nosVTinH4Iyf7TA3y05ZoTIa3Wua6bwxk75SpQQq4RGM8Ah5qcv1YuwtOFOM9tiwYGjnSnXLtkSkU\nyYQgouzpVmAz3vVMt/cTDlw2z+Ci9SY5nu0aICPwG5xrmeKQzaluHKQ75dogBfwGZzx2Pv2szLf3\nRmoT7F0NRm1y/bUq7w+2LhjbxUFeXCYG2Ttl8pECLhkzekFLSfeyubBrwsvsx7suGJvHXFZ8Tgyy\nd8rkInPg1yFjzdtOVXQpo9rrF7075appdC2OJcMjBfw6ZCoEXF9heS3PO9nHlheX8aN3p8iNzYlF\nCvgNxGQ6KsYj4JOJFPDpg3SnTDwyB36dMJKNN+lplkw10p0ysUgBv06QG2+ScEG4UxZ0nUW67MeH\nFPDrHGmJk0xHOkwxHI9dxPKpXkiYIwX8OuRa+a2HQqZrJEOhYMBtkPH3eJGbmNchkymcI90IlSXo\nEsnkIwX8BmIihL2sNGICViKRSCYCmUK5gZgIAXc5TSF/J/PtEsm1RQq4ZFj0wnzCbqHEJ87Bep1I\nJ4xEcu0IewHPz0qe6iVc/1yA1hkDP2bO8Al4KuRnBX9JxQzIz5Kl0xLJZGJQFEWZ1BMYDEzyKSTX\nkPx8qKgY/nkVFepzJRLJ2BiJdspNTMmoyMwc2fOkeEskk48UcMmo2Lx5qlcgkUgEUsAloyJYZD2S\nlIpEIpl4pIBLxo0UcIlkapACLpFIJGFK2NsIJVNDRcVA5P3CCwOP5+fLDUyJ5FohBVwyJgKFevv2\nKVqIRHIDI1MoEolEEqZIAZeMG5kykUimBlmJKZFIJNMQWYkpkUgk1zFSwCUSiSRMkQIukUgkYYoU\ncIlEIglTpIBLJBJJmCIFXCKRSMIUKeASiUQSpkgBl0gkkjBlXAL+05/+lJycHBYtWsSzzz47UWuS\nSCQSyQgYczOrP/zhD7zxxht8+OGHWCwWmpqaJnJdEolEIhmGMUfgP//5z/nWt76FxWIBYNasWRO2\nKIlEIpEMz5gF/OzZsxw8eJC7776b/Px8qqqqJnJdEolEIhmGIVMoBQUFuFyuQY+/9NJL9Pf3c+XK\nFd5//32OHj3Kl770Jc6dOxf0ONt1zaLz8/PJl+3rJBKJxI+KigoqRjmfcMzdCB9++GGee+45Vq9e\nDUB2djZ2u52ZM2f6n0B2I5RIJJJRM6ndCNetW8e7774LwJkzZ+jr6xsk3hKJRCKZPMbsQnniiSd4\n4oknWLx4MVarlV//+tcTuS6JRCKRDIMc6HCDU1EhJ+pIJNMROdBBMiyj3DORSCTTCCngEolEEqaM\nOQcuCV8qKgYi7xdeGHg8P1+mUySScEIK+A1IoFDrbPoSiSSMkCkUiUQiCVOkgN/gyJSJRBK+SBuh\nRCKRTEOkjVAikUiuY6SASyQSSZgiBVwikUjCFCngEolEEqZIAZdIJJIwRQq4RCKRhClSwCUSiSRM\nkQIukUgkYYoUcIlEIglTpIBLJBJJmCIFXCKRSMIUKeASiUQSpkgBl0gkkjBFCrhEIpGEKVLAJRKJ\nJEyRAi6RSCRhihRwiUQiCVOkgEskEkmYIgVcIpFIwhQp4BKJRBKmSAGXSCSSMEUKuEQikYQpUsAl\nEokkTJECLpFIJGGKFHCJRCIJU6SASyQSSZgiBVwikUjCFCngEolEEqZIAZdIJJIwRQq4RCKRhClS\nwCUSiSRMkQIukUgkYcqYBfzIkSPcddddLF26lDvvvJOjR49O5LqmDRUVFVO9hHEh1z+1hPP6w3nt\nEP7rHwljFvCioiJefPFFjh8/zve+9z2Kioomcl3ThnD/n0Cuf2oJ5/WH89oh/Nc/EsYs4HPmzKGt\nrQ2A1tZW0tLSJmxREolEIhke81hfuGPHDlasWMHTTz+N1+vlvffem8h1SSQSiWQYDIqiKKF+WVBQ\ngMvlGvT4Sy+9RHFxMV/72tf44he/yH/8x3/wy1/+kvLy8sEnMBgmdsUSiURygzCEPAPDCPhQxMfH\n097erp0kMTFRS6lIJBKJZPIZcw48OzubAwcOAPDuu+8yf/78CVuURCKRSIZnzDnwX/7yl3zta1+j\nt7eXqKgofvnLX07kuiQSiUQyDGOOwPPy8rDb7VRXV/Pee++xdOnSIZ//05/+lJycHBYtWsSzzz47\n1tNOKT/+8Y8xGo20tLRM9VJGxTPPPENOTg5Llixh/fr1YZHqKisrY8GCBcybN48f/vCHU72cUXHh\nwgXuu+8+PvOZz7Bo0SKKi4unekljwuPxsHTpUtauXTvVSxk1ra2tbNy4kZycHBYuXMj7778/1Usa\nFT/4wQ/4zGc+w+LFi3nsscfo7e0N/kTlGvDuu+8qa9asUfr6+hRFUZRPP/30Wpx2Qqmvr1cefPBB\nJTMzU7l8+fJUL2dUvPPOO4rH41EURVGeffZZ5dlnn53iFQ1Nf3+/kpWVpZw/f17p6+tTlixZopw6\ndWqqlzViLl68qBw/flxRFEXp6OhQ5s+fH1brF/z4xz9WHnvsMWXt2rVTvZRR8+Uvf1n553/+Z0VR\nFMXtdiutra1TvKKRc/78eeXWW29Venp6FEVRlC996UtKSUlJ0Odek1L6n//853zrW9/CYrEAMGvW\nrGtx2gnlm9/8Jjt37pzqZYyJgoICjEb1T22z2WhoaJjiFQ3NkSNHyM7OJjMzE4vFwqOPPspvf/vb\nqV7WiElJSSE3NxeA2NhYcnJyaGxsnOJVjY6GhgbeeustnnzyyWGdENONtrY2Dh06xBNPPAGA2Wwm\nISFhilc1cuLj47FYLHR1ddHf309XV1fIOptrIuBnz57l4P9t335C2Y/jOI6/0tpBipQlfcc3OyGT\nRf6UcsAWjjhYW9nioNSklAulbCsH5JucrBblqpRyWiSKUE47sF2WRLlo8jV7/27fw++H3zbs8/v+\nej9un/Wpz/OwPt/t+/l+Dw7Q2tqKzs5OnJ2d5WPZb7OzswNJkmC1WkWnfNnGxgZ6e3tFZ3wqkUjA\nbDZrY0mSkEgkBBblLh6P4+LiAi0tLaJTsjI5OYnFxUXtwq8nsVgMZWVlGBkZgc1mw+joKJLJpOis\njJWWlmJqagqVlZWoqKhASUkJurq63p2b8yHm7z57ZjyVSuHx8REnJyc4PT3F0NAQbm5uvmvpb/FZ\nfyAQwP7+vvbZv/iL5KN+v9+v3cNcWFiA0WjE8PBwvvOy8r+8O/D09ISBgQGsrKygqKhIdE7Gdnd3\nYTKZ0NjYqMvX0VOpFM7Pz6EoCpqbm+Hz+RAMBjE/Py86LSPX19dYXl5GPB5HcXExBgcHsbW1BafT\n+efkfNzTcTgcFIlEtLHFYqGHh4d8LP1lV1dXZDKZSJZlkmWZDAYDVVVV0d3dnei0rIRCIWpvb6fn\n52fRKX91fHxMdrtdG/v9fgoGgwKLsqeqKvX09NDS0pLolKzNzMyQJEkkyzKVl5dTYWEhuVwu0VkZ\nu729JVmWtfHh4SH19fUJLMrO9vY2eb1ebRwOh2l8fPzduXnZwNfX12l2dpaIiKLRKJnN5nws+yP0\neIi5t7dHtbW1dH9/LzolI6+vr1RdXU2xWIxeXl50d4iZTqfJ5XKRz+cTnfJlkUiE+vv7RWdkraOj\ng6LRKBERzc3N0fT0tOCizF1eXlJdXR0lk0lKp9PkdrtJUZR3537bLZTPeDweeDwe1NfXw2g0IhwO\n52PZH6HHv/cTExNQVRXd3d0AgLa2NqytrQmu+pjBYICiKLDb7Xh7e4PX60VNTY3orIwdHR1hc3MT\nVqtVe7w2EAjA4XAILsuNHr/zq6urcDqdUFUVFosFoVBIdFLGGhoa4Ha70dTUhIKCAthsNoyNjb07\nN+dX6RljjImlvyNmxhhjAHgDZ4wx3eINnDHGdIo3cMYY0ynewBljTKd4A2eMMZ36BWNkToqzdYSy\nAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# full covariance matrices\n", "imshow((G(normal(grid,mu0,sigma0))