{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "<< back to chapter content

Last updated: 11/10/2016

\n", " show/hide source code\n", " " ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "import sys\n", "sys.path.insert(0,'..')\n", "from IPython.display import HTML,Image,SVG,YouTubeVideo\n", "from helpers import header\n", "\n", "HTML(header())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Linear filtering\n", "\n", "In the previous chapter, the processed value of a pixel was only a function of its orignal value. Here the processed value will also take into account the surrounding pixels as well. We speak about pixel *neighborhood. *\n", "\n", "## Neighborhood\n", "Pixel neighborhood is defined by a binary structuring element $B$ having an origin." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ARoPyzDGmNfdNNBmUPg7+y8GmR9cfKaqxyjdAMRGqy2fGr71v0iBnznLemZMQ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\ncGmO+aFrpg0716L0eUWXssmVzcRed1ZM7oQF4P8TECdxK9GkoTCWEEE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"text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('http://homepages.ulb.ac.be/~odebeir/data/b.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a specific pixel (the gray one below), the neighborhood defined by $B$ ..." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QiCsE9LRy4yMn+RYah5OtbrSe/5omg2P+uoxD2Q3n1KFhEEYESObcFLNsxgCv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\njzvaRtf1c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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('http://homepages.ulb.ac.be/~odebeir/data/b1.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "is the ensemble of pixels belonging to $B$ when its origin is moved on the pixel of interest." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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K70cmQZl5BAJxidFHn0p+MpJr7XA4mdpm64WvaTE4FqzPOpzbdF7lFQZhVJB4\n7o1xy2cM8HoDu4/UvPrlWf5gRwhAiJ/orqsi1i8Y1uklFjvNtB+QIIRCFPVCIBCXGH1UUQKVQhyD\nruZBmmab9fbzXrDzUPVb35w7V2u0O2h+REwmIlLjlMvuT+lRI+R5vPPtuY9+KK1psvKHncQES566\nM+mpO5IudpXZ5uSEDbZbJiMQCMSlQ19VFIWQwDFXCyHDss2GDlGv5zbl7j5SU9diPc/0PjpYcse4\n8Jce6C+XeD/qavGWMzsOVam17sGOJI4NiFGsmZt2w4jQLi60ORiuEAxC4Iu/CwKBQPwT9FFFCVYJ\nuRoqhmG58i2WBfevOvF7llpndhdWQQhC/ERThgZ/MH+oj6Pd5649/WN6fYvRzi0uEeIj+/l//vzI\n2JBuxs7z54ABADDUj4JAIC4x+qiihPqJeBZZkHIyAACHk7n3jfSDOY1mmztVLhLg/aPkS+5LuW9i\nlI83vW9l+q+ZjXozxX3HTyaYPDT462VjPJEHAYG5PfgBsPMGRCIQCMSlQF9UFCfNfryvjCcbrOtR\n/eBbpw7maLjvQwAClMLJQ4K3PDNC7tskEoZl73o9/WBWo4lXMBasEt1zdeT6BUM9XEQhcZvwMwzL\nH+iCQCAQlwJ9S1Esdvrjn8u+PFh1rsboOpcAADAMBvuJHn3/9K+ZjVyJMIQgKkjy+C0J/7s/xceb\nsiw79ZXjh3IaORMwCGGYv/DRm+JfnTXQ83X85EICb6vvYgEwWKiuX49AIBD/Mpe9olBORm9x1rdY\n8yr0pfUmjc4GAJAICX+5QCzEnTRD0yxFs3Ut1pJaY0WjWaOzm21OfkrCXy6obbacLtZyXSkQwtgQ\nycrZqQ9c46XnIwfNsFNfOXY4V8OTExAdJH7+3n4Lbk/s0VIhKiHJmfCzrM6MFAWBQFxa/IOK0myw\nl9SaztUZy+pNGp3daKUoJ8swLIAAg1AsxKUiQiUllVIyQC6IDZVGBIrlYkIuJlWyTiqprHa6ttla\n2WhuaLWdrTJUqM0NrVadibI6aDvF2CnGTtF2iqEZlmVZDEIchxiEbdlsFjgZ1kmfl9sGEEKFhEgI\nkxVWGbgCYghhiJ9w1Zy0+yf5mjixU8xdrx//s6OcxIVKX505cNaUHru2xARLBET7GYUFtc3W2mZr\nmL/oUraMLKgy5JbrSupM6labzuygnIxIgAcphSlRiptGhnrtqolAIC5NelNR1K22Rp3tt8zGU+da\nyxtMLUaH1c7YHLSdomkGMGz7hHQ9UHY9AAAgAElEQVQAAAAQAAwCCCGGQZLABAQkcIzEoYDAhAJM\nLiHlYlJIYjTDmqxOg4Wy2Girg3Y4GbuDpmiWcjIMy7Is4K/JgwXdZRlIHEYFS+4YF9HQajt1rpX7\nPgaBiMTO65D3jntXpPPlBIMwLky6ak7qtAneaFV0sEQiwiGErq6Ukjrj2KcOCghMKMCFJCYVESEq\nYVKEfPzAgBHJfmH+Yt/37x12itlztPZAprqg0tCktxsslINiKJp16TkEAMegWIi/913x+IGBq+ak\norlhCMQVQy8oysmi1i37y3PLdc16u8lGW+1OV+cEy3ZllgUAoAFwyYHtgrIlCCEALAQQAMB2uVA3\n9+gMkQAPUQnHDghcMTtVLMCWfprHM/wFNMNWa6w/n2y4aWRoeID3z+X7V504L9gVHyZd/XDaPVdH\nercgSWAhKlFpncn1pZNmXa3+XAEYBEBA4lv2l8vFhJ9cEBUkGZKgunZI8KRBQV6/Cw+pabL8kaU5\nUdRyttpQ12zVmSijlaLpzv9wNMM6nIzBTFVpLLnlujfnpk0ZGvJP7xCBQPwL+Koo3xytXf1VYUG1\ngXJ2/eTvGa6lWI/1AgIAISTwtmAXzbAuU0UIIWBZ10lIJMAUEjLMXzQiye+Rm+KHJKgAAEfymo+f\nbeF8iLm7Gy1UJyMUPebxdZm/nlZz5VgQgsRw+VuPpN0xLsLrNQEAYwcEZHUc8wV4k+dZAGwO2uag\nW42O6ibLmQr971mNm38pC1GJ0+KUd4wL91rMOiWrVHswW5NVqiutN2p0doOZMtvpC0OLF8O125wy\n3cL12asfHnTHOO89CBAIxCUC9EUGNDr7na8dSy9sudgaEAIMQhyDBA4JHMMwAAEEELAsS9MszQCa\nYRgWuAJYLAAsC857uJ+3GgAAgxDDoJDEJEJcLMDFQlwswOUSMlApjAgQRwdLBARsNjj0JoeTYSGE\nJA4xDPrJBInhsmGJqsQIGdfWsWlf+XvfFZfUmxjeIQVCoJIJZl8X++68wdCrDMWSrWc+/a2Sl5gB\ncSHStY8PmTrW14dmcZ1x8ZYzh3M0ZjvNenAK5CBwqJCQSikZHiCODBRHBUmClAKZmFRKychAcWyo\nNDpI0sWbZVhWb6bK6s0ldcaiWmN+pb6s3qzR2fRmypW76uLWGAZxCEgCIwkMAkCzwOagnU73NRCC\n0f0Cvlk+NjLwP4vUIRCIXsEnRXl/b8mrXxToeWWsEAIIoYCACgnpLxcGq4TBKmF0kCQqWBIeIMYg\nwCAgcIxhQbPBrjM59GbKaHU26+1aE2W0UFYHY7U7rQ7a5mCcNEszjEuQXPpBM8DhZCAESik5JEH1\n+C0JaXFKibem7os25Hx7tEbdauM/2mQiIjJIcue48Ofu6edde/wbO86u/6msUWvjvhMdJHljduqD\nPU/Fd0pNk/Wrw9WnS1o1WrvZTlvtToeTsTsYrdlhczB0d0IDAcAwSODQJcwEDgUkJiAwkQCXCHCR\nEMcgYFngpBknDRiWYVlAM6yTZu0U43C2ZcUoJ9t1VNMl5AopEagQRgdLkiPkcaHSUD+RXEJoTdTJ\nopbfMhurNRZHewG3XEwsvS9l2QP9e+VXhEAg/it8inplnGvlWvZwDAYqhIkRslA/UWqs4rYx4cOT\nPJqKeCFmm7OuxarR2l2LB6tEh3Iav/u7rrzBrDU7GIatb4FmGx0gFySES71QFKPFOf3NE0fzm/nt\n6ySBxYVKH7s5/tm7k73bNgDgve+KN+0r17TLCYQw1E+46M6k3pITAEBUkPiFaf343zlW0PLyF/m5\n5XqLjQYQSIWEqx/TZKMtNifTMRjJAkAzbBenCpfJP9t2IoQsy8L2C7sGQkgSUC4mlRIiIlA8JMHv\n5lGhU4aGXDhr8sEpMSab84b/HTlZ1OraicVO51cZPP4dIBCISxSfFKW22crFixQSct+Kq7xWET5S\nEZEcIU+OkAMAfj2tfn5zbl6lvtXg4CL0TpotqTPuz4CTBgffOjqsR4v/ka1Z+smZ/Eo9P00iExEj\n+/mvXzC0f7SXs7MAAF/+UfXB3pL6Fiv38A1UCGZfH/ucDxLVLcs+y/v6r5qqRgsnEnaKeezm6Lk3\nxh3M0RzJazpbZdDo7K5pXZ4cR91ZGVcm6+Ja4gppCgW4TET4yciIQPHQBNWEtKBrBgfLJd38u5KJ\niHfnDb7uf0dcqSaGZXUm1F6DQFz2+KQofCMQmZiICenN9gKGZRdtyP4xvaG+xdrpZ2qrg3b0MHm+\n9JO8XX9W1za7F4QQBClFt40O2/rsCF92+3tW4+s7zlY3WbiNBigE90+KWjUnzZdlu0Cjs89dm3Gs\noEVndvClQkBAuYTsH63oH61wNVH+cqrhu7/rCmuMDa1Wk9VpddCUk2EYlmUByxlQdlkFAV3/wwIM\ngxgEQhKXS4gAhTApQjYi2f/q1MAhCaqeGtW0GBxkuwUABPDCowwCgbjs8ElRbJR7dghJQH+ZT768\nfE6da31+c252qc7UsS8Ex6CAxHAIFVLijnERA2M9PVJklmiXbD2TWaLVW9ymwhiEMSGSJ29LfO4e\nn44RueW6ZzbllKvN3MoqGXnn+Ih1T3jq2dVTfj7Z8PK2/IIqA5eKAADgGFTJBNcOCbpxRIdi3JtH\nhd08KgwAYLBQ+ZWG3HJdbZPVaKUsdtpgcbYY7AaL02xzmqxOnclhoxhXi6hIgMvEhEiAYRCSOBQJ\ncLmE9JeTkYGSxHDZ6BT/Mf0DXOtnl2rPlOtSohQBih78AyhXm7nNQwz4ddbWikAgLi+8VxSGZZ28\nYVQkjvWWv/rGn8ve/66kTG2ieesTOBbqJxye5HdVaiAAMEQlHJ3inxwp92TB17af/fJgVVWjmdsw\nhIAksIHRilUPp93Y5VSSbilrMD/8bsa5GiMXAJSKiBuGh2552qdDTxes2X1u076yKo2FX6KmkpGp\nscqHr4+9eVTYxXoGFRJy3ICAcQMCLvzRss/y9xytaaI5ZwFWIsQX3J74+K0JMhFOEp3Pi2zU2m57\n5Vhtk4XAsYmDgl58oH9KlEd/EdCmKG1l0AQGI4NQ/zwCcdnjaz+Kq9gX8vrsfGTh+uw9f9fyB1JB\nCP3l5Ihk/1dnDuA+F3tIbZN1/odZx882a00UP0OtkgquSg3c9NTwMH+fGrabDY6Za07mVRg4rRKS\n2IS0wF3LxviybBfM/zDru79rNTr30EkMg9FBkpmTY954qAe+kxw/pNe/tbsov9JgtFD8wJfFTlvs\nTgyCi8nJD+n1j3+Q2ahr+0t9f7wuLVaZEtWv0xdfSI3Gwg05FgnwpHCZF5tHIBCXFD4oCgtwDLYH\n4YGT9iDt2yVao+PBtzOO5jf1VgnW7r9qVn5VWFRj5IeGCBxGB0tnXBv9+oPePH/5sABMX30iq1RL\n0Qy329EpAd+8NNbHlTvFbHM+sPrkkbwmQ/vvB0IgILC0ONXqOalThnnTdv7C1jNf/1XDr7AALqMU\nHA5JUKXGKpXSzoNRK3ae/XhfuZpXJG1z0E0XDFfuguomC3dPkQDz8LiJQCAuZbxXFAyDAgLjbKbs\nFGOx0RKRl90hp4tbn/woO7dcx5VgQQCkYmJksv/mp4cn9vwD7Euf53/xR1Vds3uWOwRAISWHJfq9\nOTdtVD9/7/bJZ9qK9ONnW7jqAAKHwxJVO5aMkop633/zTIV+/rrMrFId37FGKRVMTAv84oVRip5P\nKW41Oma/c+rv/BZufqULiRAPVomGJ6nunxQ99SId/nPXnv7pRP15+qGSCjqNp3WKWmtrMdi5U6NC\nQg6M8b7KDoFAXCL49OyTiQmuuJSimfwqvXdP6s2/lL+7p7iswZ04gRAGK4W3jgnb+kyPsxEsC2au\nOflbVmOzvkNoKDJQfP+kqDVzB3mxwwuZ937m71nueSo4BlNjlV8sHvVP5AN2HKpesfNsSZ2JX6IW\n4ieaNiHqg/lDvFjwaH7zc5tzz/D0GwAgILDoYMmd4yPenJuGXSSIqTU6Zqw59Xd+E7/MDwIgExP3\nToi8c7ynHjPZpTqjxW1RE6wSXewwhEAgLiN8UhR/uYCz/rU76JomS08VRWeiFm7I/j2rUaN1965j\nGIwOEj9xW+Liez0NynPUt1gffPvUicJWvnmwWICnxSnfnJt2zeDgni7YKYu3nNl7vI6LzmEQJobL\n1i8Y5mPoxnzypDU9HZPLpRMmCJOSXN98aVv+tt+r6pot/BK12BDJU3clLZqa5MVd9vxd+9Ln+efp\nk79MMHZAwPvzhySEXfQ4eLbK8Mh7p7NKtfxzpESEJ0fK33tsyMSe+FGW1hutfEvmUJSWRyCuBHxS\nlBCVEMMgQ7MAAMrZZoXrOZv2lW34qay4zsSP5JA4HBirfOfRQZN77ke7P0P9v0/zzlYbuPmMrmfl\n5GEh254fKRJ4GZE7j1e+LPjyYFULb55KdLD4tQcHeh7z6ZT6Z581HjhANTRgUqnynnsCFywQJibO\nXXv6xxP1/MMWiWP9YxSr5qTeMqpnrZ0udh+pffGzvPIGMxcMxDEYFSSee2P8S9O7MkE5kte0cEN2\nQaXBrUMAhPqLHrgm+t15g3u6DY3OziWfcAxGBiJFQSCuBHxSlFB/EYFjTpoGADicTLXG4uGFBgv1\n+AdZh3I1Gp07mA4hkAiJMSn+nz0/MqqHsSMnzT69MeeH9Lr6Vhvj/ugNIwJEs6bE9GKb4Wvbz27e\nV87ZdkEAwvxFT9+VfN/EtpEn+u+/N//9NyYWq6ZPF/X3yKiKsdurp083HTpE6/WAZWmdzrhvn/ya\na+Z82/LLqQZ+nYJEiI/q57/lmRFeJJYAAPsz1Ms/zy9rMHHHHQGBDYzpvoR6f4b6uc25xbVGTk4w\nCOLDZIvv7Tfv5ngvdqJutbULCiBw2KNGFgQCccnik6IkhMkEBOY6YThpps6zM8rJotanN2bnlOv5\nRxOXBdZNI8M+6Xnv+uli7XObc7NKtGabkwud4ThMDJctu79/L3pqvfhZ3qe/VvILnIJVork3xj11\nR1v0SbtjR+OqVY7iYojj+h9+iFi/Xnb11V2vSdXVVc2YYT11irHyfns4Pvcg+1tNAzdMHgLgrxBe\nPyz4yyWjvRvamFHcunhLbilPTsRCfNyAwK+Xjen6gf798boXtp4pazBzUk3gcGCM8v35Q7yevFKt\nsdDttcNCEkeuwwjElYFPipIUISMJ7ukGdR2rhjrl018r13xdWNZg5huriARYSpRi4dTEh2+I6+ke\nfstUL96aV1Cp5y8oJLEhCX7rnhjSKzVdLuZ9kLn3WF2Lwf0eA5XC6ddG8auQjfv324uKAMOwTqct\nP7/5vfe6VhTLqVO1Tzxhy8tjHe3LQkgEBLyctuD3Gtbgzl3DUD/hnOvjVs5J9W7zFWrz4x9kFfHa\nMCVC/NohwT++Nh522Un09V81L36WX6F2R8mEJD4i2e+LxaPiw6TebQYAUN/q7jeSivDB8Sqvl0Ig\nEJcOPilKsEpE4pgrOc+yLL/+p1Ne33F2yy/ldS1WXvciCPUT3TA89KMFQ70ouj1V1PrsptyiGiNf\nTgKVwglpQVueHu6dHf2FmGzO+1eeOJrfbOD59gcqhNMmRK59rEOpFW0w8K0WrdnZtvx8UWrnMqD/\n/vuGZcvsxcWAbp/ziGFEWNjmaxcftkbpLW0aAyGMDBS9MC3FZdLlBa1GVxumW3RFAnzioKCfXr+q\n6wu//rPmxW0d5EQkwMcNCNj7yjgv6pU5cst1rUa3MAcohL4YdCIQiEsHnxRFKsIFJOZ62LAAmGzn\nD/fl8/THObsO1zTq3CEjEof9ouTLZwzwbu56UY3h8XVZfDkhcCw+VProzXHP39PjIrGL8UuG+uVt\n+ed5FQerhPdNjLrQtks8eLDxwAGWahMeWqeDZOdP3patWzWrVlFVVYBrHMdxYXJyyZMrf8oQtRja\nRv9CCKICxS9O7+9dugIA4KTZ+1edOF1yXhum/95Xxnd94Q/H65Z/UVDBy+GLhfikQUF7XxkvJDvv\noveQ9LMtxvYPHxgEcaHen3UQCMQlhY9nFKGYV0BltjkZhr3Q3Yth2AdWn/wju5H/yVQqIsYNCPj8\n+ZHezXI3WZ3z3s/Mq9RxcuKKxmxbPLKL+teesvSTvK/+rK7ldXe7DlUPTol5s7O+lsAnntDu2OGo\nqHB9ydrt+u+/D16y5LyXNX/4oeadd6iaGu5AA0lSPGRI5KZNz+wxVTU2ur4LAQjzFy+e5mX228WD\nb586VtDMb8McmqDatWxM16pwrKBl6af5pfVG7sTlipJ9/+p477I4AIAzFfqGFmtKtKKswWxvT6GR\nBNYPdcsjEFcKPikKgWNyCcG1zVsddIXanNCxDCmnTLdgfVZ2qY6bjg4h8JMJbh4V9sULo7w2A5vz\nbsbpYi1n/SIgsdEpfr+/OVFwEROqntJisM9+J+NYQYeWcgyCuFDZ03clXSwARYSFya65RltX58qL\nMDab7uuvz1OUpvffb1q7lqqtdcuJWCwdMyZ6x46TreTZ6lOcRsolxEPXxXod7AIALP0k77fTau43\nj2FwYIzy8+dHhV7EStJFZaN5wfqskjojL9VBTB4S/MNr3RxrLsaZCv0rXxQU1xopJzM4QdVicNDt\nSwsIzJd8DAKBuKTw1S9EJRVwbfMOiqls7KAo3x+ve+nzfH5gCgIQohJNvyb63cd63MTA8czHOYdy\nNNb2z7kEDofGq3a/NLa35GTP33Urdpw9W93BK15AYmmxyhWzU7sutA1avNh06JCjshIAAFjWXlam\nXr489I03XD9t+fjjprVrqZoa7vWYXC675prYPXsgQeRnlhkt7q7JhDDZKm9T8QCAdd+XfHGwqsXI\n5WNAYrhsw8Jh/aO7OhPYKebBt07l8yodxAJ84qAgr+XknW/PbdlfUaE2u5qEqjSW8EAx2744SWAR\nXh1SEQjEJYiviqKQEBiEro+cFM006d2f6PedbFj6SV5JnZEfMooMlDx2S/yLPkwUf3pjzo7D1a28\nB2VyhPyLJaNDVD65CHO89Hn+lwer+OaJEAJ/ufCqgQEbF3XvVSxKSZGOH0/V17cdUwwG3a5dAY88\nQsbEaLdvb3zzTaq2lnsxrlLJb7opZudO15fhAeIQP5HW5GBZEKAUzLjW+7rnXX/WvPddibrVPZ84\nIlD02qzu2zDvW5ne4fBHYGMHBHSbw+8UFoCH38345VQD3ynZSTM2O82CNrMFksAig5CiIBBXCL4r\nCslVnzpplhuQ9Vtm4zObcsrqzZycEDhMjpD/74GUmd4+KCvU5oXrs4+dbdHzIlFRQZJXZg1IjuiF\n3InFTj/09qnDuU2tRgfXd4lBEB0snXND7MszBni4TvCyZZZTp+wlJa4vHVVVtfPn+8+b1/jqq1R1\ndVuwC0JcqVTcfnv0tm3chRMHBd03MeqP7EY7xVydGjjnhljv3sjxsy2vbS+o0rgngAUqBHOuj7t/\nUjcVEI++f/rPM00dDn+Jqt0vjvUidWKyOqetPHH0PAcwCKKCpSzLcudalxV0j1dHIBCXJL4qipQ3\nC5ZmWJfR+vaDVSu/KiyrN3FyIhbiw5P8Pl403GuL2dd3nN1xqLqSN/gPABDiJ3rkxjjvSsXO42he\n0+KtZ3LLdTaHe32RAE+NUax6OO26nnjFiwYMUNx+e+vmzbTRCABgKcp09Kjl5Elap+NyJ7hcrrjl\nFr6cAACUUnLxvf2uGxbCsuzQRD+J0BvbmLpm68L1WSV17k5GpZS8Y3xEt+79r3559ofj9Xyzsn6R\n8q3PjPCioV2js9+3Mv1EUSvXxAohlAjx+DDpvJvjt+yvqGlqs1cgMEj0jjkOAoH47/FVUSRCHINt\nEQyWYc02Z2m96btjdSV1PDkR4FenBv66aoJ3tzhR2PLi5/nZpVqtyd0OAgEI8RPNnByz3OOjQxds\n2lf+7rfnytUd+i795YJrhgRvfXq4qufTjsPfftt84oQlPd1VHMyYTAzvp5hUKr/++ujt2y+8UCLE\nffEHo2hm5pqT+Tz3LYkIv35YyOanhnd94Rd/VH36a0WzgTMrA9HBklUPp6XGKnu6hya9/e7Xj58q\nbuUKzFwFcndfFfHhk0MBAFv2l/Mbklxj7BEIxBWAr4oiJN3G5ywANgdT02Sp5D2aRQL8qtTAH171\nMq/73Obc747V1Wgs/Gc9BkFMiHT29T2IRHXB0k/yth+qqm+x8R3GooIkD06JeeMhbxPjEIa9+mrN\nvHlcJbH7J2Kx7NprY775xpc9X4y7Xk8/UdTKHeMEBDZ+QODXL3YzUPJ0iXb1rsJanr1xqJ/42buT\nbx8T3tMNWB30fSvTT51z7wHDYHyo9KXp/R+6LrbtRWzb6E8EAnGF4auiCIgOimJ30sEqUb8oeVGN\nkaKZIKVwRLL/tsXe+P7uPVb31jfnCir1JpuT//SRi4mBscpl96fc1vPn3YXMXHPywGk131tFQGD9\nIuXLZwy4d0KkLyvLpkwJeOQR9euvs3beZCoIJUOHxu7d68vKF2PWW6cO52i4QBOOwcEJqp1Lx3Tt\ns6I3U0982CFKFqAQzJocvXCqN1XL01aknyjkywnoH6X44Ikhk4e45whACF1pFMj9LwQCcUXQG4oC\n3JLipNl+kfJZk2NiQ6StRkdShMyL9vW6Zutzm3OP5DU16uz8abU4BqOCJXeMDV/72OCun5KeoNba\nZq05lV7Ywk1SgRBKRfi4AQGfPjsyoje8C7nmeT6MxeIoL+fGn/QWSz45sz9DzXsvICVKvmHB0EBl\nVyE7hmHvXZGeW+ZuFJWK8BuGh655xJu5ZI++n/kXL7GPY3BAjGLrMyPOc1fDeB9B+Fl6BAJxueOr\nohAExhMUwDAsgcObR4WNHRBAYJhc0uP1X9te8NXhmopGs4PnegIBUErJYUl+a+YOGpHs5+OeAQB/\nZDe+sPVMfqV7kgoAIEAhuGVU2OfPj/R9fQCAYd++1s8+63BAAQCwrC0/v/Luu8Pfflt+ww29ciMA\nwPofS7/8o6qlPQuCQRgXJl39cNqI5G6MMu9+I/3Y2RbuSEHicHRKwPalo73Yw5rdRT+m1/PsVWC/\nKPmmp4ZfaNZJuv7NsAAAQDOsg2IBqh9GIK4IfFUUp5Phf8Qk8DZ58et5NvvH9Po1u4sKqgz8iSAA\nABKHMSHSmZNjXpnZC1kTAMCuP6tf+bKgrN5Md5yk8vCNca/N6qYgykMYi6Xxtdf4nYxc6oB1Om0F\nBXVPPhn49NOBCxb4fq/tB6ve/rZYzRvZEh4gennGgG6jgrPeOnUwp9Fic1tspcYpP312hBenv32n\nGj7+uVyj49pfQFyo9N15g8f276TKQCTAuH8zDidbrbGg+SgIxJWBr4pisdOckyAEQEh6UwrKsmD+\nh1n7TtY3tNr4GXgIQbBSNG5gwJsPp/k4cJfj7W/OffRDaQ0vC41jMCFctuz+FHfq2Gdqn3jCVlDA\ntrtA4kollEjo5ua2OBjD2MvLG1eutBcXR6xb58uN1u4p/mBvSW2z2845UCl85Kb4bqfCPLUxe9/J\nem7YO4bB5AjZB/OHxoT0uDukqtG87NO86vaCYAhBqL/4hWn9LmYu4CcTcJl5h5MuqTcOTURu9gjE\nlYCviuJq8HaBY9CLMFd+pf7Jj7KySnUdW+GgVISnRCkW3J740HW9NjJr3vuZP6TXNendexaS2KA4\n1drHBl+VGthbd9Ht2mX6/XfG0v6EFQhkEyeGvfVWzSOPWE6fZm02AABgWadard2+naqpid65ExP3\nOO5jsFCPr8v6I6ux2eDux1RKyTvGRXR7mFu9q/Drv2q5amwIQGyIdMXs1Kt7/kugGfbBtzMKeZNX\nlFJy2oTILtwtQ/xE3DBpB8XUNPVsmDQCgbhk8VVRGrV2mufRFNxDK5Rtv1et+bqwpN7E2X641okK\nEt8+JuLtR9MIvHesutILW5Z+kpddqjXydMvlf/zdy+NkYl9/Dxysw9H07ruUWt32NYTC5OTILVuI\n4OD4ffuqZswwHTnCGAyuH9JareHAgbJJk8Lfe086bpzndzl+tvm5TWdyy3VWdwshkInI64eFbH66\nm9aTnYerP/65nHNGgQBEBEmW3tfv7qu8qW2bvvpkRnErl44SCfCJaUHvPz6ki0tC/EQ4Bl1/cSfN\nclYxCATicsfXJ6laa+PCVCIBFt+TWRcvbD2z41C1utXG8KqDA5XCMSkBb8weOKT35vq99Hn+zsPV\n1R2bWvxkguuGh+xaNqZ3y1frn33WVljITT0hgoMDFy0igoMBAJhCEffTT7Xz5+v37nVqNG1pFZvN\nkplZ/dBDQYsWBS5c6MktjuQ1L1yfVVBl4L8duZi8fnjI7pfGdn3t6WLtip2F/KBfsJ/oydsSHr3J\nG8P8xVvO/JHdaLW7i7uGJCi3L+kmsR8ZKBYQmGveDM2wVRqLF7dGIBCXIL4qikZn46o/xUJPx7sa\nLdTMt04dOdOkt1Dco43AYXyYbOHURF/82/lQTvaD70t2/VldUmfij1+EAIT4i+65KtLVwt2LWLOy\nDL/8wpjNbTcSCmUTJgQ8+ij/NZEbNwpiY5s3bnTW1LQlWmjaUVbWuHKlvagoYv36rm9RoTY//XE2\nX04wCMP8RVPHhn+4oJu3Y7I6F67PKq5129T7ywXTr4leel9Kj98qADsPV+/6s4Zv2dkvUr5x4fBu\nD3z9IuUSEeE6LDIsyzmyIBCIyx2fFOV0sVZronh2hEJPinb2Z6iXb8svqDJwvXgAAIkIH5Hkt37B\nMC9sPy7ETjGvby/4+WRDZaPZZKX5ZyAChwlhsiduS1h0Ry93hAAA1K+/7q7vglAQH99p4j14yRJh\nSor65ZfthYVtuXqWdTY2anfsoBobY3fvBljnsT6WZeeuzcjnzfcVEFhypHzpff08MSqe/U5GDq/1\nRCLErxsWstarsQIVavPqXUV1Le5sfGSg5NVZA4YkdP+RYkSyn1xMNGrbvmzS27VGh18vjXBGIBD/\nIT4pys8nG7hKXxyDieHdG31ofWYAACAASURBVAC/vuPspwcqaputHSbDKwQ3jgz98gVv2iAuZMNP\nZVv2l5fWmy6ce6+UkiOT/d6ZN9jDs1SPMOzbZ0lPZ51tN8WVSv9Zs4jQzuudlFOniocMqZ03z3Li\nBG00uiJgtF5v3L+//JZbYr/9FpN2Ej98YPXJk0WtFG/O2Mhk/+9fGReoFHa7vRc/zz+cq7FR/NnA\nAV/9rxuDloux4CP3WQcCEKAQPnpT3L2eWXZKRUSQUljWYGJZwLLAZKUKqgy9WBmBQCD+K3zKe58p\n1zmotnOGWIiP6az5gMNodU5beWLd96X8fAYGQUywZNGdyb0iJ0U1xluX//3qlwW55frzTNRJAkuK\nkD15e+Lvb078J+QEAKB+8UW6ubntCwwTDRwY/L//dfF6QUxM/K+/qh54gAwO5iwAGIvF/Oef1TNn\nXuh7tXBD9m+Z7oGMOAaHxKt+WXGVJ3Ky83D1F79XcsVdGIQpUfJti0d55zywfFt+Os9qRSwkrh8W\n0iPLzohAMfeWrXamtN7kzT4QCMQlhk9nFI3exo1OEgvwLowFS+tND7+bcbpYa+VFugQkNjBG+cZD\nA28ZFebLNlx8+EPp+h9Lyxo6lI1BAAQkHhYgGts/YOm0lEHxvRBS65TWTz6xl5e7G1Dk8sAnn/Tk\nwsiPP25KSWn+4ANHVZVLRRibzZqTY/ztN35T/eItuV//WeOu94UgKUK+YeEwhYTs9ha/ZTa+8kVB\nXYuVO1JEBonfeGhglFejrtILW3YcqtbxzqZpcYrPF4/q0SIRAWIcg66CY8rJ1DajAmIE4krAJ0Wx\n2hmuE0JIYhezkCprMM1cczKzxD0ZEEKgkgrGDwz4/PlRvvdL0ww7d23GgQy1Ru/uzAAACEk8Kkg8\nZWjIs3cnJUX0ToPkxbBkZjJW92ORCA1VPfCAh9cGPf00GRlZt2ABVwDGWK10e4UxAGDBR9lf/1Xd\nzLOzjA6SLJ/Rf3hS94Y0BzLUz2zKKW9wT9/yVwgenBI7dWyEh9s7jyVb86o1FtfvGUIYFSR5c+4g\nEu/ZYSfET0Rg0CVKToZt0tu7uQCBQFwO+KQoDiftOqFAAEgCY5hOXqM3UzPXnDpPTiICxTOuiXlz\nbpovd3dRUKl/4qPszBKtxe7k91qG+ommDAt++9HBQR4EhXxHEB+PicWM0QgAwBQK1d139+hy1T33\nOM6da964kVKrMZKUjh4tGjgQAMCy4P7VJ37PVPNnw4T6ix6/NWH6NdHdLrvn79pln+WX8gYzS0X4\ndcNC3njIS7OZR947nV2m5YKWKin5wDVRkwYF9XSdUH8RSWCuAyvDsNxcFgQCcVnjk6IwbFvhMAsA\nhsELZw7mlOnmvZ+ZW67j5ITAseQI2RuzU+8a7+VnZD4bfir7YG9xudrslisApGJiUJzyjYdSr+U5\nqP/TqO6805abazp0CBCEbPz40BUrerpC0NKlZESEOT0dk0oVd9whGjCgqMY4f11WRnEr31E4WCl6\ncEqMJ/W+H/5QunZPMX82sEiATxwUvMMrI0gAwEc/lu472WBuT1AROBzZz2/VHG8+FkQEiEmiLYfH\nsqzO1IlJMwKBuOzwXlEYFlBOhjNoInAoIDvk+TOKWx//IOtMBV9OYFqsYteyMb6bdDEM+8h7p3/J\naNBo7VycC0IY6iecOjZi46JhPq7fUwQJCWGrV1vz8jCBQDphAuh5yhviuN/s2X6zZ7u+/OzXyre/\nPVdSZ+SnhUL8RLOvi139cPcP8Rc/z//814oGrY0vJ1elBn7z4hjMq3R8RrH2w+9LG3Vtv20IYWK4\nfO08byqPAQAhfiIB0bYNFgCdydH16xEIxGWB94pC0wzldHd6CIkOclKpNj/2QeaZcnfnBI7B1Fjl\nl0tG+y4nFWrzo+9nnihsNtvceX4Ch4nhsiXTUmZfH+vj+t1iddCZJVohgfWPVnANfWRkJBnp05Au\nFzoTtWB91sFsTaPOzhsrCaOCxE/elvjCtO7nzcz/MGvP0Vp+ckIqIq5ODdz7yjgvRp8BAGwOetGG\nrLIGE7efED/hojsSB3rbPBQRIOLOKIAF/L8jAoG4fPFeUdRaG//js5B3QGkxOKa/eTK/wt3XTeBw\ncLxq3RNDBsYovL6ji7/zm5/amJNXqeePNpGJiBHJfusXDhsQ7ev63bLrz5ptv1c26mwBCuEdY8Pv\nnxTdi2bs674v2bK/vLTOZOONhyFwmBQhf/GB/jOu7T538sCqEwcy1fw4klJKThkavGvZWKKH+XOO\nmWtO5ZS5PxwoJOTUseHzb03wbjUAQKBSKCTx9iEpwOagnTTTWx5uCATiv8J7RalrtnIdCRACqait\njLVRa7v7jfTTJVqKdjfTDU1QffW/0fFh3bdAds1nv1Wu3lVY3sAbbQJAiL/otjHhGxcOw7F/fMTs\n69vPfvJrRV2zlWZYCIHdQQ9N9Bs3oKtGHA+pa7Y++VHW8bMtfC9hAIBEiA9P8t+wcGi3bgJWO33v\nyvQ/c5vceRcAAhSCO6+K3PxUN/aRXfDsppyDOY329sYjEocj+/l9vMj7BV0ISYxLwjmcjNXByMVI\nURCIyxvvFaVRa+dOCa4ZiwCAc7XGh94+lVWq435E4NiwRL/vXx0X6tczW+ILeX5z7ld/1jS02rgH\nrmu0yeJ7+z1yY5yPi3vC/HVZ3x2r4+ZKsSww22j+Qc1rvjlSu/KrwsIaQ4fJlRCE+IluHB66+enh\nJNHN07ZRa7tv1YmThS3c4QYCEOovnn19jHfJcxef/1a5+69aHa81sn+0whd9AgBUNpr3/F3HNwRz\n0oyDYtAkRwTicsd7RWlodZ9RMAz6ycncct3ctadzy/XO9tMJjsGBMYrPnhvhu5zMeuvUL6catEYH\n9/wWkNiQeNXmp4YP9sBLykccTub+VScO5WgMvPmSCgk5pn9ASpSvaaE3dpzdeqCitsnK9x8TC/F+\nkfKFUxMfvqF7sUwvbFm4PvtMhTsS6Mq7LJya9Pw9yV5v7Gy14a1vztW3uiczRgWJX3twoC9nzVW7\ninb9WV3TZDG0D/tiWeCk2VajA01yRCAud7xXlCqNhft4jkEoJLCH3s7Iq9AzbIdU/Kanhvf3Obcx\nbUX6gdNq/mgTmZgYNyBg59Ix/8JjqLLR/NDbGRnFrZxtOwDATyaYNDjo1VkDfOx3mfdB5g/H67hp\nJQAADIPh/qKbRoa99/hgqaj7P9DOw9Vv7DhbUmfiuxHHh0lfmTlg5mSfhpUt+Ci7pM7InQgDFcLH\nbkm4Y5yXZd81TZYnP8pKP9vaYuwQ1gMAUDRb32pNivA1KIpAIP5bfMqjcIpCEvBIfnNxrZEvJ4Pi\nlJueGj6yn78v+2NZ8MDqE/tPq/k+XUFK4S2jwz57bqQvK3tIZon28XWZuWV6Li0EAQjxE82cHPP2\no4N8Wdlqp6e/efJwrkbPO/eIBHhqrPL1BwfcNNIjZ5pN+8rf/LqI33SCYzAlSv7OvMEXG8rrITPX\nnDp1rpX7E0tFxI0jQv93vze+9wCAz36rXLunuLjW6HB20gdrd9AVDeaJaT3ulEQgEJcU3itKi8E9\nW5fAsRaDnW8nHBYg+nzxqEFxvvpo7fqzOr2whZMTCEBEoPixW+Jfmt4DX0KvySrVzl2bkV/ZYRhJ\nVLB40dSkZ+/2PpoEAChrMM155/Tp4v+zd9/xTZXrA8Df94zsNJ3pnrSl7LKHTBURURTndSFet6Je\n9F63KOoV9efAAe6B64oLFBVRRBBkQ4HSvfdI2ux11vv747QnoUBXCmnI+/3ckZTk5GkI58l5x/O0\n+xY6i9TKzs3Vf/7wZDndqznqj3+rfmFdcU2rt32WjCJyh4SvuXdcbwq0dOPhD45u2t8kzfBTJByb\nGf7xv/uZwu9689CPuxt9W6tBCGkKchwSf8JwqLjO5k/AGIYNBv3PKFYX27llHpAE9F1nRZHwtgsz\n/E8nAICmdrfJO4ULE6MUKxaP/Oe8NP+P3KNj1dZbXz3gm05IAg5N1v53ych+j/yIfjvY/J8PjhbW\nWH1n9eMjFdfOSXml13sG1/5e88znhb5XJyoFOW149Kf/mRQf6des1Rsbyj7fWuv7tmcmaN+6Z2w/\nltLVGZy3vnZgT1G7b8czgoCJUcpUvepwpVn8rsDxQn6V2Z+YMQwbDPqfUTjeOxguo4kZI6N/2d/s\n8vAqBTlzVMzVs3rVKqNHQxI0w1LCDpaZIARpser7F2WdmXTiYYW73jiY75NOaIoYkxH+0YMTRvnX\nE+ytH8pXrS+rarZLV3Qdv9plWfcv6m0TsFe/K121vqy+s7kvBECjpOZNiPump67APfp2R/1r35c2\ntbmkXJcYpXjoqux+tABYt73uv18WlRw/0qWSi8N6I2LC5Quf+tve0ckRVDQ5OB71e8cMhmGDQf8z\nCgEBhFDMKoIAHrgie1xWZG2rY0i85r7Lsgbq1HDx5HijxbO3uE1A4Lyx+mtn97zFb0Bc/dzuA2Um\nadEaTcKJ2RHfL58W69+itXveOvT93w0tJs/x0x5hL9wy6uLJvS3pf/ebh77f2dBqdksnfY2Snj8x\ndt3j/qaTvwuMT649VtPqlEqtRIXJbp6XdnMv1pt18djH+Z//UdtgPG4Bmz5cPm9C3IfLJoiLoeMi\nFI1tboQQQqjdxmw+2DwgfQ0wDAuU/meUcI1M6jDvZviSevvDvSgQ0lckAW+5MP3G81JlvZtaGBC3\nrzq47ahBalpMkXBsZsS3T/qVTtwM/4/n92w7augyDz8uM/zd+8f3shdyZZPjzjcO7ilq8132plVS\n8yYMQDpptzHL3jlS1mCXUkCYilo0LfGZxSP7eqjbVh3Y8HeDb/l9koDpcep7L830bcack6w9Umnm\neAAAsLu4wxVmnFEwLKj1/zSdnaSlO8tmONzcj7sbByikkziT6eSRD4+u/7ve5jyu3eGXj072Z3Ki\n3uC68PEdvx1ssRy3nYU6L1e/6b8zeplOPttSs/CpnX8eafVNJ+Ea2YLJ8f4PdgEA/vH8niNV3i70\nSjl5Xq7+vX/1eTPjTf+377sdx6UTpZyckB2x9j8TfdMJACBVryKJjr9ZXkC+bw6GYcGo/9coF0+K\n+9+ftS0mNwBAENDhCrPDzfVm/0QvlTfaD5WZCmutdQZnu411MTwJgU4jS4lRDUsJi9TSDCd4WMHD\nCE4PZ3VxVgfbbmNazZ52m8fh5hlOAKijH7CMJmQUQZOEQkbowxWThkZef26KVOHR1/P/K/rk95o2\na8c+SghAWpzq+ZtHDfFjT9/fBcZ7V+cdq7aw3g4xUB8uv2xqwju93ny+7J3D3+yoF8eIpB/GRSoW\nTUtcc+8AFFq+7oW9uwrbpB37MoqYkhPVj0R17co9m/Y3++aGqDDZ3HGxHz4w8cRmBzYXJwjSJlkQ\nphqwDw+GYQHR/3/D542NTY5RtprcCAAEQFO764lPCl67s5/lzQEA1S2O/SWm3UVtxXXWOoPLZGec\nbt7F8BwvCAICACKAIIQ0CWUUQRIQQIgQEhAQBCQIiEdIvIEA9D3tivX2xQruEEAIwYZdDf/7s/bh\na3LmTzxux8aq78vW/FQh/kai+CjlA1cMveTU3Y57tPb36uf/V1ze6O15RUCYolfdd1nmsst7tf44\nr9z84HuHD5aZfZdLkQRMi1Pfc8mQXh6kGxYHu/ilfdvzvdXACAKOTNete2wK0cfFXVc8u+u3gy3e\npd4QxEUobrkw/dmbTj5uVm90SZdEcppMjVX395fAMGxQ8Otb4Zwx+oIaq7iT3Onhf9jdcOv8tBGp\nPY/h8AIqqbPtKW4rqrXVGZyNba52G2txMHY37/RwHIcQAF22VYtzNgghj4A87Mm6RR7/SO8d5PO/\nAAEE2m3MzgKj+/OCzASNtE977e/Vr60vbfBpeB6jk980N+2eS/pfYffxT46t/b26sbPBOwCAJGFO\nkvaFW0b3Zh6e5YQH3zuycU9jncHlu9dHKSdzM8JfvWPMlGH+Vqj84Neqt34oL66zSm8phCAzXvPy\nbWNiwvtQC4Dj0aVP/739qMG3OVhilPJfl2c/eOqNO41tbgQ6ChArZGRvPjkYhg1mfmWUuy4esnFP\no7Q3rbbVefuqQ1tfmtVlg57DzRXUWIvrbKX1tpJ6W4PR1W5jLA7WxfAuD88J4mIffwI5Odglt/jg\nBXSk0vL2TxWv3jEGAPDplpqnPyusMzilB0SFya+Zlfz8zX2elBbZXdzNr+zferj1uEJkFJE7JPyd\n+8eP7UUhso9/q179Y3lxnc3p5nx/ixid/ILxsR8/OLHH2pG9eYnX15cV1lh8shVIjlY9dm3OnDF9\n2L7uYYWlqw/tPGb0TSfJMap/Xzn03kszT/WsiiZHRaO34YpWRWXjKiwYFuT8yijpceqFUxOb2ivE\ncXNeQAdK2yfeu2XJ3LRhKWEGi/twheVopbmhzWV1cg4352Z4b5OuzuaPpwIBABBQBCGjoYwiSQIK\nCLGc4GEF8Qu72N8eAAAhICCEEFAkIaMIGQVpiqApAkIoCEhAiOORgBDHITGHiRF4WOFAmQkA8MK6\n4jUbK3z3dmhV9GXTEt68Z2z/3pZD5aalb+XlVZjdPvvhxUJkXzw8ObqnOmAcj259bf9vB1tbTG7f\npbckAdNi1bfNT3+4Fy2Be9Ri9uwqNBbX2bpsi7n30syb5qb16VC7Co2HfAblxOMsv374qVqf1Rtd\nq74v/WZHvcnuu3dVedKZLQzDgoi//4ZfvGXU3uK2nceM4lme4YRj1ZYnPjkmowleQAwnSJU2ujrh\nZxBCCABJQqWMDFPTUVpZfKRiSIImM0GTEaeO0skBQkV1tqIaa6vF42Z48cEyiqQpqFaQOrUsUiuL\nj1RkxKmHJmtVcgoA4GF5l4c3O1irk2VYwWhlbvq/fSY7gxBACBnM7hte3PfbwWajxdtaWKWg5k2I\n/WDZhP69Id/uqF/+aUFZg13aywIAiAqTzRsf15sG73nl5vvezjtUbnJ5BN8GjuFqOneI7rklowak\nFwsAwM3wbOdfDYRAISNzksMeuDyrH8Ul3YzgYXlxvkpcJbxi8Yjr5nTdOdRicr/7S+W2I4byRnur\n2e07dKlWkHPG6P38jTAMC7gB+Fb4yu1jFr+0r7jeJoiXDgi4GN63XNVJwY6rCiinSaWMVMlJnYaO\nj1BkJmgmZEfMydWnxKhOfNY5I6L7FBtFUmoF5XtZkBStNNlZMaFVNDkqmxy+O7q1SnrueP1Xj03p\n06tIXvq6eM3GilqDt9AWQcDEKMVNc9NONTvt6/1Nla98W1reaPedNZHTREa85trZyU9eP5ClzPTh\n8tmjY4rrrDWtzthwxZgM3dv3jT9xOZYEISQurnN5eF5ASjmpVdLiPtahSdpLpyY6PDzLCllJmmWL\nshdO9a5lEAS07q/6b/6qO1xhbjG5xQ+G73cMmiImDY2879TjYxiGBQs4IDMY63c1PPlJQXGd1fdU\neNzLQAghIAmooAmVgtIoqMgwWWKUYkiCdniKNjNBk5Wo9bMaVS9Nuu+P/SXtJ40wXE3NmxD/v0d7\nvpI4qXveOvTdjvoWn7r0FAmHpYQ9s3hEb+qA3fXGoR92NzSb3MhnGEqvU8zJjXn9rrH6vsyTd2NP\nUdu2o4b8Kktju9tkY6xOluWQjIIqBYUQghASEBAEpEhIElCsicCwAsMJnIBYThAEIHQ+TE4TWhUd\nHSZPjFJoVTRCSKemZ4/Wh6moxna32c4U19uOVlpK6m1Gi8fiYE/62VArqPFZEe/9a/zQJH/bzGAY\nFnADM3K9aFqiRkG9vqHsaKWlzephxG0GEFAEVMlJrYqOCpOl6lXpceqc5LBxmeFjMsLP5KZFXwSE\nJ87YQwjiIxVXzUxadWduP47p8vDXvrBn+1Gj2X7ctr7JQyM/enBielwPi2Lzqy33rc47WG62+awP\npkiYlaj595VDe9Nxq3t1BudPe5u2HWktqrMZLYzFwXpYXhAQgCf5PgF95rc6Fl6feoEDBEDMLuKm\nH5ok3v6pEiEkCIjhBJZHDMsjdJKnQwjUCioxSjl/UvxT1w8L1+BeWxh2NhiwudC542LnjovdVdj2\nx+HW8gabw83JaDIuQjEmI3zGyOiM+MGy1QCesMWCIomUGOVj1w67pV+thQtqrHe8fvBgmcl3Hj5c\nTZ8/Lnbd41OIE1/veG//VPH6hrKKRrtvHWKNkpqYHfH2veOH9tQgst3GNLW7C2ssJfU2g4XhBaSg\nCZKANhdnsHgMFo/RwpjsjM3FOd1c16uEk12e+v6sc8n1KYmLvAUEuF6McwIAIABKBRWllWUlas4f\nG3vXxUPCNXSPz8IwLFgM8OqaacOjBmrq+PSRTpFymshM0KTHqV+7MzczoT9LV/8uMC5dnXesysJ1\nnqwhAPoIxdUzk964u+elYv96+/DXf9UdP9IF9TrZRZMTPnqgh6UBLWb3is8K/8o3GK2MhxU8LM/x\nSCwTACAQBIQQEJC4A6efpKsT7w0xQSLU41K9LsehKSJSK0uNVc0dF3fvpUP04WdihBPDsDMspNdr\nRmhk794/vq+z/ZIdx4x3v3mwqNbm7cdFwJQY1T0LM3vT3f26F/b+ur/Z5DNQRpEwPU69dGFml/pX\nJ/Wf945+u7Pet1Fxb0AACALKaUKloOQ0QZOQ6NwZjwACAAoCQgCIq67F/EQSkCIJioIUASmSELuk\nMBzvYgSXh3czvJsRGI4XExhCHWv2xCXdNAXDNbL4SMXE7MirZyXhBV0YdnYLuYwinvLE+QOShMkn\nW1HWG/lVlqVvHfJNJxQJc5K1z97Ucz8uXkBXPLNr6+Hjaj5qFNT4rIhVd+fm9qITydbDrVvyWnuf\nTggI5DQZpqb04YqsBM2UYVHThkd1zGZJ+3o6x7icHs7NCG6G53iBpkitklIrKIWs67wXQqCiyV5Y\nay2ssdYZnC0mj9XJcjwS1yJrFFS0Tp4ep5ozRu9nQ0kMw4JFyGUUCIE07tXvZW5N7e7bVh0orPWu\nbZNRxPjsiC8entzjPHxtq/PGl/buLzlu3kUfLr9kSkLvN8G89n2pweKW7kIISQLQFAEBFIugkQRB\nU1BOkwoZEa6RJUYpxmVGXDghbvrIni/I5HSv5skhBJkJmswEzUI/6p5hGHY2CbmMQpFQmhfgBeQ7\nH957d7x+MK/cLD1XRhFThkWtf2papLaHc/EHv1a9+l1JeaOD7dwEAwFIjFYuXZjZ+53wmw80Hyzz\nvrpCRg5P0U4ZFpUQpVTJSZuL4wUUpqTjIhUZ8eoh8ZqBWnmMYRjWvZDLKEoZKV2jCAJqMrn7ug7t\nsY/zdx4zSPsiKRJOHBq58ZlzwlTdLVuyObm73zz0e15Lq/m4HSfpceonrx++pC+FT1atL2s1d1yg\nEASckB2x45U5ffoVMAzDToeQyyg6NU1AyCMEAGB5VNfqBH1ZnLYlr+XLrbUme2c/LgKOSNV9+ejk\n7tPJN3/Vr1xXVFRr8x3pIgk4NEn77JKRl5/T8/5HyeaDLUcqO/piQQgitbJbL8zo/dMxDMNOn5DL\nKOFqWtrjyHKCweLp8SkSh5t75MP8OoO34n1yjOq1O8ectGCMSBDQ0tV5P+5ubGo/ruyjSk7mDgl/\n9Y7cyTmRfYr/nZ8qpJghhCPTdDfN7XMlrsGDZVmDwaDRaMLCwgIdC4Zh/gq5jEKR0GdmHrl7sS9P\n5Gb4hU/9fazaIiWGCI3sxvNSulkRW9Zgv/ONg/tK2u0+a7oICGMj5PMmxL17/3hZHyvSl9Tb8spN\n0gxKlFZ214IgvkBpaWn59ttvi4qKIIS5ubm33HJLoCPCMMwvIZdR3IzgW8axlxXUm9rd/3h+974S\nk1QxV0YT54yI6qb+44ZdDcs/LSiqtXLeZsBARhE5ydoHrshefH5aP4J/9+dKqW4YhDAzUXP1rOR+\nHGeQ2LZt2/bt210uFwCgubm5ra3toYceCnRQGIb1X2CKawWQxclKY080RfSmPOU7P1ec+9C2XYVt\n0gUNQcCRqbpuusSv/b36P+8fLag+Lp1Eh8kXTknY+tLs/qUTAMCuwjYP2xGDRkFefk5S/44zSNTV\n1bndHUsM3G733r17H3/88dLS0sBGhWFYv4XcNYrdxUnlEUkCxkcqu3nw/pL2pz8v3F/SbrR6vFc2\nEAxN0q7856jEqJM/94uttSs+L6xudkipiyKh2MyqN5vhT+VwhbnJp8GwPkJxx0X+FpEMrLi4OIVC\nIV6jAAAYhikoKHjxxRenTp166623BjY2DMP6IeQyim83FPIUo15Gi+ednys2H2gpa7S1WRne2/sK\nUCQcmqR9+fYxF4yPPenxP/+jZvmnBTUtTimdKGTkuMzwt+8dPzrDrz7qxXU2q6tzjRkEqTEqbbcL\nzAa/a6+9trCwsLS01OPpGMrjeb61tXXz5s3FxcVXXXXV5Mn97CyAYVhAhFxGYX22NBIQKI8vLnK4\nwvzmD+V/FxjrjS6nh+uyqV4lJ8dlRrx2Z+6E7JOXFfn8j9rlnxZUtzilFKRRULPHxHz75DS539X7\n6wxOpnMWhyBgVlLQd2UnSfL5559fu3btX3/91dbWxvMdA3put7u0tHTNmjW7du26/fbb1erBUrga\nw7DuhVxGEXwquhMEpMiOE/3qjeWfbampaXW2WxmW79rImIAwLlIxb3zsm/eMVStO/qaJVyfVLQ7p\nuWoFdcGE2O+enDYgkRstHs5bQ4yIPVvK9950003Tpk379NNPy8vLHQ6HmIwRQu3t7Tt37iwvL58z\nZ86VV14Z6DAxDOtZyGUU4FPOS7rxwLtH/rettsWnqryEJGCEVjYsRbtsUfaiU29FXPt79dOfFda0\nHp9Oxg9YOgEAWF2clA5JAkaFnT1dqrKysp599tl169Zt3bq1tbWV4zoWWzMMU1dX99133x04cGDR\nokV4EAzDBrmQyyg0SUhtCgUBsZxQUGP9u8DY0u72zSYQAqWMitHJhqeGXT496dZum3G98l3J6+vL\n6w3euRONkjp/bOz3OMBONQAAIABJREFUywcsnQAAXB7ed3WAVhnckygnuuaaa6ZPn/7xxx8XFxdb\nrVbpYsVutxcWFjY1NW3fvn3JkiV6PS6Jj2GDVMhlFKWckCpFcrzQbPIoZATDecfCIAQ6tSwlRjl3\nXOwDV2QnnGJBl+ThD45+9kdNs8njm07mjo39/im/0smxakuzyZ2qV2cldsyXcLx3TQFBwEC1VT6t\nEhMTn3jiic2bN//888+NjY3SjL04CLZ79+7y8vIpU6YsXryYokLuo4thg1/I/bPUqWkCAnF6nuVR\ndYtj0TkJM0fFNLa5zHZWraCSYpS3zc+46+IhFNlDQ18AwN1vHfrmr3qjTykXjZK6YFzsd/5dnby+\nvuynvU1N7a5JOVFL5qbOHBUDAPAtkwwBkFE9hxek5s2bN2vWrI8++ujQoUNGo1Gasec4rqmpadOm\nTUeOHDnvvPMWLlwY2DgxDOsi5DJKjE5OQMgDBABgOKHe6FTJqUf/kZOTrK1scgxN1nY/wOXrtlUH\nvt/Z0G7zNmEMV9PzJ8Z/+ahfw/1/5RtWbywvb7QjBKpbnPGRcjGjIN/+vhCCnjrYBzWFQnH33XdX\nVVV99tlnZWVlFotFWj7ndrurqqq++uqr3bt3X3rppVOmTAlsqBiGSUIwoygIAgAeAAB4Hon5IC5C\ncdfFQ/p0nH+9fXi9TzqBAESHy6+cnrTm3nF+RvjYx8cqmzpm+N0Mb7R0vIScJqQcIgjI4VMr7GyV\nnp6+fPnyrVu3/vTTT/X19dJeSISQzWYrKChoaGjYsmXLNddck5XV/62jGIYNlJDLKBQJCZ9v97xw\nwuquXnjuy6L/batt87k6iY1Q3HZRxjOLR/gZ3u2vHzxSYZaiigqTZSVqxdtyGSkFzgvIFgIZRXTu\nueeee+65n3766e7du1taWjiOkybtTSbTgQMHKioqRo4cef3118fFxQU6WAwLaSGXUWxOVjpfQwhU\nMrKvR1i3ve79TZWtUsVGAOIiFfdemvXoP3rbhPFUPvy16qc9jQ5PR6ogCTg8JezfV2aLd1VyUqrD\nzwuC0x0qGUW0ePHiiy++eO3atfn5+W1tbYLQsU6B53mj0bhz587S0tKJEyfefPPNJNnnv1MMwwZE\nyGUUo5WRMgpNEvo+7hMsb7Q/92VRncEp/UQfobhnYab/6aTO4Hzt+9IWU0cBMbGL+6q7xkoP0Klo\n6epKEECTyX3S45zFIiMjly1bVlxcvG7duvLycqvVKuUVjuMaGxs3b96cn58/d+7ciy++OLChYlho\nOgtXoHbPZGeOqz0c1YeMwnLCra8dKKm3SftCIrWy689NefzaYf4Hdu/qvLIGu7RZP0Ynv++yzDE+\npcCSYpSKzpoxHI+OVVv8f9FglJOT89RTT9122205OTkajQb6jGGKk/ZffvnlY489dvDgwQAGiWGh\nKeSuUWxOVlo1RFOwx+0mvv75yv79Je1sZ61JpZw8N1f/yu1j/I/q5W9L/i5sk6pYquTkhRPi7r4k\n0/cxU4ZFhaloi4MFAAgIVTY5DBZPjE7u/6sHo5kzZ86cOfPHH3/cunVrY2Oj2+2WJlekSfsRI0bc\ncMMNCQkJgQ4Ww0JFyF2jOD08AB3fakkCxkX09hrl9fVlvx1qcXo69kaQJByXGe7nQmFRRaP9g1+r\n2qweKaqRaboPlk3o8rDR6boUvUr6Sm6weN7fVOn/qwe1hQsXrlq1auHChQkJCTTtLSIgCIK4I/Lp\np5/+5JNP0InVdTAMOw1CLqOwPJLOLwSE4Zpe1TI5Vm1ZvbHc4O2fCLISNKuXjqPJAXgDl717RFou\nDAGIj1Q8dcNw+mQNg8/N1UsDX04Pv/2owf9XPwvccMMNK1eunDFjRnR0NEF43zdxR+Qvv/zy4IMP\nbt26NYARYliICLmM0mVbIM/3/O0VIXD3m3lVzR1luyAAcRHKx/4xbExGuP/xvLGhbHdRmzSSplZQ\nl05LvGhS/EkffOuF6ZHajgKRgoCqm51SW8kQFxERsWzZsn//+9+5ubk6nc53csXlcpWXl3/88cfP\nP/98S0tLAIPEsLNeyGUUOU1IpxtOQFLb9m4sWvH3wbJ2qayWWkktnBp/4/mp/gdjc3Ef/FrVZvGO\nd41K171599hTPT5Fr0qKVkrxt9uZv/KN/odx1hgxYsSKFStuuummrKwslco7QogQslgs+/fvX758\n+VdffRXYIDHsLBZyGSVcTUvfX90MX1DTw4qpO984uPVIqzR9QpFwQlbk6qX+bowX3f3mobIGu3SV\nFBepeOrGEd1XVxmWEkZ27p23Obk/DuMv3V3NnTv3lVdeWbBgQXx8PEVRYl5BCIkrjDds2PDoo48e\nOXIk0GFi2Fko5DJKWpya6jwjuzz8lrzWbh78/i+VP+5utLs60gmEYGiS9s17xpLEANTU+uyPmi2H\nWjydw1ZKOTl/Yty8UzQblkzJiVIrOnbwsZywr6Td/0jOSosXL37uueemTp0aHh7uOwjmcDgKCwtf\nf/31t99+W6pBiWHYgAi5jDI5J1LqLc9ywuFy86keaXdxb/xQ3mzyiDP5EIBUvWrF4hEj08L8D8Ng\n8bzybWmruaMGvpirXr09t8cnXjghTlpNICBU1eRoag+5rY69FBMT89BDD91xxx3Z2dlKpXeZuCAI\nBoNh69atjzzyCL5YwbABFHIZ5bJpiVL3QwRAY5vrUJnppI+85vk9ZQ02aWFYTLh82eXZV0xPGpAw\nlq7OK66zivsZIQSxEYr7L8vSqnreHpQaq0rVq6Xv3G025pPfqgckpLPVOeec8/LLL8+bNy82Nta3\nQIvYzf6NN9747LPPAhgehp1NQi6jqBVUVqKW6By2MjnYTfubT3zYkpf37zhm8LCdmxll5LwJcfdd\nNjAFbt//pXL7kVbp4AqaPD83dskFab18+pwxMXK648zodPN/Hulu4A4T3XLLLY888siYMWO0Wi30\nFrMRDAbDpk2bVqxYYTTiNQ4Y5q+QyygAgNmjY5SdBSLdHn5PcVuXB6z4vPCXfU02Z0cpRoKAI9K6\nW4LVJ41trtc3lLV21qgnIByWEvbO/X2Y6s9K1ErXKAJCVc0Oe8jUIfZHZmbmihUrrrrqqoSEBKkF\npLjH/vDhw08//fS2bdsCGiCGBb1QzCjzJ8aFdY4vIQBqDS7f9oiHyk0f/lpltHpLC6fFqh/7R45O\nPTB93e9dk1fWYJcG0+IiFQ9dPVSt6EM5nG/+qvPdhtJuY7pfX4D5WrRo0TPPPJObm6vRaKQfchxX\nW1v7ySeffPjhhwGMDcOCXShmlJFpuojOfYIIIauDrWlxiHcFhB75ML+p3SWV7YiNVPznyuxF5yQO\nyEt/sKny7wLf+l3UvPGx18xK7v0R9ha37y9p960qYndzePN8n+j1+qeeemrBggWxsbHSHnuxlf2W\nLVuee+45p9PZ/REwDDupUMwoAACdyrsrheEEqXvV0UpLg9F7yaKSk1fPTL6zj+0dT4UX0Ns/exur\nEAQckRrW156Pb/5QZrAwvj/hOHS06pQr1rBTueGGG+6///6srCyZTCbtWbHb7YcOHVq+fHlJSUmg\nA8Sw4BOiGYXw2VCCEKLIjrsyitAoKdj5mJzksNfuHIDSwqJHP8ovrfcuHosNlz9+3TBFX1p+tVmZ\n/aUmtnP3vkhAqNbglOb5sd4bNWrUCy+8MHXq1LAw74pwlmXLyspee+21zZs3BzA2DAtGIZpRrE5W\nui2jCWmHSmqs6tKpCSPTdQlRynOGRz15/TCi+y3svWaweDbuaXK4O+Y/5DRxbq7+0ql9K7T+ye/V\nTW0dvdZ9wzJZmZ/2Ng1InKGGoqh///vfl156qe8ImCAIjY2NX3311eeffx7Y8DAsuIRcfxQAQLPJ\n3W5jpKkIjYKSuqSoFdTSSzMn5US225jxWRFD4jWnPEof/ffLopoWh3SBkqJXv3jL6L4eZEtei5ST\nCAIihMR2lFYXt+1I6xXTB2ayJwRdddVV6enpn376aV1dHcdxAACEkNFo/PXXX61W69133x3oADEs\nOIRiRvlya63YtwoAACFIjFbJfErHh6no88f2UAqlr9qszK8Hmt1sRzJQK6iFU+ITo/vQ7AsA4HDz\nxbU2qcmjTk3zAhJ/EY4XShtsAxtzqJkwYUJaWtobb7xRVFTkdneUIbBYLDt27LDb7Q899FBgw8Ow\noBCKo15b8ryVHxUyctLQiNP9ik+uPVbb6pSuilL1quU3DO/rQR7+8GiLueNMByHIStRoFNKmCtBl\nuh7rh+jo6GeeeWbatGm+0yp2u33//v1PP/20y+UKYGwYFhRCLqPYXFxFk10QOs7ukVrZtbNTTusr\nljfafz3Q7GK8FygLJseHqfq2u2Xt79Xf7ah3M9Iefur8sbEaJSXN8lidLNeLXi9Yj5YtWzZ37tzI\nyEjpJ263++jRo88++6zVag1gYBg2+IVcRtlVYDTbvV/nEyIVw1MHoPJjN179rrS53XttkRarWnHj\niD4d4d2fK576tKDF3NFKHUKQHqe6Y0FGmIqSrnvcDF/duasG89OSJUsuu+yymJgYqV4Ly7JFRUXP\nPfdcezsu9oxhpxRyGeVolUWqTk+RMDtJe1pfrs3KGCweaWmvTkVfMytZKe/DiuGXvy357/+Kag3e\nTZdRYfJr56Qkx6h0apm0FI1hhapmnFEGzKJFi2688ca4uDhvfzaOKysre+GFF8xmvPsHw04u5DJK\nVbOD4aSMQpzuCxQBoYQoJUVCCIGcJiZkRz55fR9mUJavLXj1u9J6o1taJKZVUvPGxz5+7TAAgEJG\nSIuIOV6QJoewATFnzpx77rknOTlZWlUsJpWVK1c6HDh5Y9hJhFxGMVg80iSKgiYy4gZsffBJxejk\ns0fHLJyaMC4z4h+zU/o0IX//24ff/aVSatACANCqqHkT4j5/eLJ4V/CZNyEJgiYHZusMJhkzZsy/\n/vWvlJQUqQw+x3GlpaUrV65kGLwUAsO6CrmMYraz0nmYpogUvep0v+JFk+KfumH4q3eMeW7JyBkj\no3v5rEc/yv/fn7UGs/fqJEIjWzgl4ZsnpkqPaW73/ilFQX24fGAjxwAAWVlZy5YtS0lJ8b1SKSoq\nWrlyJUJ4KQSGHSfkMorDzUn7zWkKJsf0bVNIP8hpYmSabuaomKReb0D5/VDLxj2NBotHOmNF6+TX\nzEqWrk4AAIfKTXWGjhXJEACtkkrRqwc2ckyUkZFx3333paSkSHMqDMPk5+evXLkysIFh2GATchnF\nzfLe7/UkMVA16gdWXoW5ztBZbQXC6DDZTeenvn2ft6Ykx6N73sprtzHSY1L1anyNcvpkZmbeeeed\nSUlJUlLxeDxHjhxZtWpVYAPDsEEl5DIK7zP5ACGQ0X1YdnXGhKtptYIEAEAI4iLk15+X+vLt3oKV\nDUbXeQ9vzys3Sb9LhJZeMDk+MLGGjBEjRtxyyy3x8fFSUnE6nfv27XvvvfcCGxiGDR7k008/HegY\nzqj3N1WKu0MgAEo5ef9lWRR5WtKq2c6UNdgdbk7qxdJ7KjnJ8cju5lL06iumJ/3fbd4KYM9/VfTA\nu0eOVplZrvNKi4DThkevXtq3qvhYPyQkJISHh5eVlUlrvRiGaWlpcbvdo0aNCmxsGDYYhFxdL2mz\nOgLA4uSe/aLwvzcPzLnAwwq7Co1/HjHkV1nqDE6zneUEQSkjE6OVF09O+NeiPvSoH5YSdt9lWfMm\nxKnk5PisCABAYa117e81vx1orm5xmh3eVUYEBMNSw/7vtgEruY91b8aMGTab7ZtvvpH60lsslt9+\n+02n0y1YsCCwsWFYwMFQW69yy6sHPt1SLRYsgQBolFSKXpWVqMlO1KbGqmMj5EnRqhS9SquiSHFw\nAwKAAELIxQj1RufRSkt+taW53W1zcR6W53nECcjN8DYXZ3OydjfvcHEeTkDI+74SEGpVVHykYnhK\n2Mg0XWqsKkIj43iB4RBBwPhIxYjUsOgwGTyhbP7hCvO2o4ZdhcbyBnuzyW2ysx5W8P37IgmYnaT9\n75KRA9ViEuulr7/+euPGjb5bHfV6/eLFi2fNmhXAqDAs4EIuo/ywu/Ffbx/uUrCEJCBJQBlN0CSU\nUSRJAookyOO6cgGWFxhW8HCCm+F5HiEEEOh86xAAEPT4RpIEpEhCRkGShOKDCQhpCsppUq0gw1S0\nVkmpFBTPC3Y3b7B4zHbG6uTcDM8LCALQ5fAqOTlmSPjKm0fNGh3j97uC9dkHH3zw559/SpW+IIRx\ncXG33XbbxIkTAxsYhgVQyGUUAMAdrx9ct71OKmh/msBe5Jguj4fiBRGEvpc4J6IpIjlaOW9C3Kt3\njOlTC0hsYL3++uu7du2SmtJDCBMTE++++248p4KFrJCbmQcAzBsfV2dwtlkZh5tHXb/6+wVCSJFQ\npaCiwmQJUcpwtYymIMN1NsbqCRL/c7LHQgAICNVKKjVWdcH42FV3jb31wvTTtKYA66UpU6ZUVla2\ntraKTboAADabraysLD09PSYGXzhioSgUr1FEm/Y3fbG19miVxWhh7C7Wwwk8jxAAvtcH4tQGQh0X\nHBB25AwZRcgogoAAQkhAQJIETUK1korSyjLiNROyI2aP1o9MCwMA7CtpX7Ox4lC5yWhhbC7WwwqC\nT3ZBCKFT/BVA8XKFgHKKCFPTUVpZRrx69hj9dXNS4iMVZ+D9wXppxYoVR48elYqyQAiTk5OXLl06\nbNiwwAaGYWde6GYUEULgULnpYJmpqtnRYnabbKzFwTg9PMMhQfDmFgJCioJqBRUVJkuPVeckaxOj\nVQoZSZFQISO0SlqnpuMiFKfqSe9m+X3F7UcrLRXN9nYrI7Y5gRC4GN7q5MT5Eg/Ls5wgTpmQJKGg\nCZ2GTolRTciOPDdXf86IqIHqeI8NLI7jVqxYUVBQwLId46gEQSQnJ99zzz04qWChJtQzyiDhYvi6\nVmezyeNwcwJCOjUdH6lI1aspXPwxGHg8nmeffbagoEAa/sJJBQtNOKNg2ABwOp3PPvtscXFxl6Sy\ndOnSnJycwMaGYWcMntrFsAGgUqkef/zxoUOH0nTHFlpBEOrq6tasWVNRURHY2DDsjMEZBcMGhkaj\neeKJJ7Kzs32TSk1NzZtvvtna2hrY2DDszMAZBcMGjJhUhg4dSlEd9Y0EQaiurn755Zdx20csFOCM\ngmEDSbpSkdo+8jxfXl7+wgsv8Dxu24yd5XBGwbABplarH3nkkYyMDCmpsCxbVFT04osvBjYwDDvd\ncEbBsIEXEREhNqiXegmLHbreeOONwAaGYadVKFZhwbAzQKfTpaSkFBUV2Ww28Scsy7a1tblcrtGj\nR3f/XAwLUjijYNjpotfro6KiSktLpWqSHo+nubk5KioqNTU1sLFh2OmAR70w7DSaOnXqokWLIiIi\npJ+0tbWtW7cOryfGzko4o2DY6bVgwYLZs2drNBrxLkKovr4eT6hgZyWcUTDstLv55ptzc3NlMpl4\nl+f50tLS1atXBzYqDBtwOKNg2JnwwAMPZGRkSEu/XC7Xvn37/vjjj8BGhWEDC2cUDDsTaJq+/fbb\n4+LipJ+YTKYNGzZIfYUx7CyAMwqGnSFZWVmXXHKJTqcT7yKEGhoa3n333cBGhWEDCGcUDDtzLr74\n4rFjx0oTKizL5ufnb9++PbBRYdhAwRkFw86oe++9NykpCXZ25DSbzT/88ENgQ8KwgYIzCoadUTKZ\n7PLLLw8PDxfvIoTq6urw2Bd2dsAZBcPOtFmzZg0fPlxqo+J2u/fu3ZuXlxfYqDDMfzijYFgA/POf\n/4yNjZXutrW1ff311wGMB8MGBM4oGBYAer1+7ty5YWFh4l1BEKqqqtatWxfYqDDMTzijYFhgXH75\n5ZmZmVIPFafTuW3bNrw9BQtqOKNgWMAsWbIkOjpavI0Qamlp+fDDDwMbEob5AyKEAh1DP9XU1JSU\nlEhL+4MLQohlWQihND0bXMT4SZIkSRLC4PsU+cYf2Ei2bt2an5/PcZx4V6PRXHDBBenp6d0/CyEk\nPiUYPz/iB4ZhmMHw/vfP4Pn89A/P83K5PDk5ecC7KlADe7gzqby8vK2tLScnRxCEQMfSNyRJOp3O\nY8eORUdHZ2dnEwQRXL+CTCaz2WxS/CRJBl0HdUEQ9uzZEx0dHfDPz4IFC5qamlpaWsSs7HA4Dhw4\n0H1LLt/Pz7Bhw4LuzRc/P/n5+UH6+SEIguO4QfL56QeCIBwOR11dndPpxBnFiyTJnJycsWPHBjqQ\n/nA6nTRNEwQxfvz4QMfSHx6PRxAEnU6Xk5MTjF+TeZ53Op2RkZEjR46UNhsGSnt7+xdffGGxWAAA\nCKG2traSkpLrrruum6eInx+KonJzc89UmAPJ6XQG9eeHZVmHwxEVFTUYPj/94HA4AADSlfEACu55\nlKD7diBBCIkn5UAH0k88z3s8nuD6aulLEASO407Hv6h+mD9/vvhVXbzrcDj++uuv7ltyBfvnR4w/\neD8/AACe54M9/tNx2ODOKBh2dli8eLE0RQ8AaGlpWbt2bQDjwbD+wRkFwwIvLS1t6tSpCoVCvMtx\nXEFBweHDhwMbFYb1Fc4oGDYo/POf//StIGkymdavXx/YkDCsr3BGwbBBAUJ44YUXarVa8a4gCBUV\nFbjQPRZccEbBsMFi3rx56enpUudgq9X6yy+/BDYkDOsTnFEwbBBZuHBhl0L3P/74Y2BDwrDewxkF\nwwaRSZMm+a4kttvtf/75Z9CVJMBCFs4oGDa4XH311ZGRkeJthFBzczNu8ogFC5xRMGxwycrKGjFi\nBEV11LMQNzwGNiQM6yWcUTBs0Ln66qsjIiLE2wihpqYmPEWPBQWcUTBs0ElOTh4+fLhv6xS8jBgL\nCjijYNhgtGjRImnRlyAIjY2Nu3btCmxIGNYjnFEwbDAaMmSIb4dHq9W6ZcuWwIaEYT3CGQXDBqku\nW+irq6vr6uoCGxKGdQ9nFAwbpCZMmJCYmChV+jKbzZs3bw5sSBjWPZxRMGzw6lKQ+NixY4GNB8O6\nhzMKhg1e8+fPj4qKEm8jhIxG4/79+wMbEoZ1A2cUDBu8ZDJZenq6b1GWv//+O7AhYVg3cEbBsEFt\nxowZarVavC2WuA9sPBjWDZxRMGxQmzp1qu/+eZPJhAe+sEELZxQMG+wyMjJ8B7727t0b2Hgw7FRw\nRsGwwW7SpEkqlUq8LQhCZWVlYOPBsFPBGQXDBrspU6bodDrxNkKovb29trY2sCFh2EnhjIJhgx1F\nUfHx8VK3YLvdjqdSsMEJZxQMCwKjRo2SyWTibYZhSktLAxsPhp0UzigYFgSmTp2q0WjE22JjR5Zl\nAxsShp0IZxQMCwJxcXHR0dHSXbvdXlxcHMB4MOykcEbBsOCQnZ0ttQp2uVx4qyM2COGMgmHBwXfg\nSxAEo9GIEApsSBjWBc4oGBYcRo4cGRkZKd11OBwFBQUBjAfDToQzCoYFjaysLGngi2EYPJWCDTY4\no2BY0Jg+fbpv1cjm5mae5wMbEob5whkFw4JGbm5uVFSU1NXR4XBs27YtoBFh2HFwRsGwYJKdnS1V\njXS73bt37w5sPBjmC2cUDAsms2fP1mq14m2EUG1trc1mC2xIGCbBGQXDgsmIESP0er008GU2m3/9\n9dfAhoRhEpxRMCzIjB49mqZp8bbb7cZVI7HBA2cUDAsy8+bNCw8PF28jhBobGw8ePBjYkDBMhDMK\nhgWZ2NjYlJQU3+L2v/32W2BDwjARzigYFnxmzpypUCjE2zzPl5eXNzc3BzYkDAM4o2BYMJo0aVJE\nRIQ0P28ymTZs2BDYkDAM4IyCYUEqMzNT6sHFsmx+fj7DMIENCcNwRsGwoDRx4sSwsDDprsFg+PHH\nHwMYzxnmZoU2K+Py4CI0gwsV6AAwDOsPkiTT0tLMZrPYzNHtdu/Zs+fKK68MdFyn0a8HmrfktRbW\nWFpMHoeb4wUkpwl9uGJcVvgtF6YPSw7r+RDYaYYzCoYFq2nTptXW1ra2tiKExFbBO3bsmDFjRqDj\nGmAVjfZXvy/7u8DY1O4y21mOFwQEAAAQAABBYa11T1Hbhr8bp4+MXrF4RKpeFeBwQxvOKBgWrCIi\nIoYMGWI0GsUKxDabbevWrWdZRsmvsjzw7pGdBQY3I3T5I9TxX+Bi+Iome73Rube47ZpZKU/fOPzM\nx4mJ8DwKhgWx+fPnS7MpgiBUV1dXVVUFNqSB9dW22j3FbSemE1HnYjcAAPCwQnGd7Y0NZec+tG1f\nSfsZig87Hs4oGBbEcnNzk5KSpGXEFovll19+CWxIA8vu5j2sN52QBNSp6YQoZVaiZmiSNiFSqVFS\nvnnFZGf+yjde/8LelV/hdmQBgEe9MCy4nXPOOZWVlQ6HAwDAcVxhYaEgCNKO+mA3PEWbFquqbHJQ\nJNSHK6aPjD5/rP78sbEpehUAwMPyr3xb+vVfdeWNDoebE5/CC6iiyf7a96WHyk3vL5sQrqYD+huE\nFpxRMCy4XXTRRZs2bRIzCkKora1ty5YtF1xwQaDjGhhXzkgWBFBUZ9UoqMVz03KStb5/KqfJx64d\n9sg1Of/54Oj3O+vrDC5eQAAAhIDB4vlpb9PcR7b/d8moC8bHBij8kHOWfJHBsJAFIRw2bJjUf97p\ndO7atSuwIQ2gqDDZHRdnPHn98MeuHdYlnUgIAr5y+5gVi0fIZaTvz90Mn1duvvutQ2/9UH5GgsVw\nRsGw4HfBBRdI8/NiG66mpqbAhjSACAhjdHKNsocBlQOlZpbruuGRF1Blk+PFr0ue+7LotAWIeeGM\ngmFBLysrKyEhwXd+PgSrEe8tbvNNKNJ0PUKo3uh8+6eKF9bhufrTDmcUDDsbTJgwQapGzLLs0aNH\nAxvPGZZfZWkwuhBC4l2NghqVpgtT0VKWbWp3vftz5dfb6wIXY0jAGQXDzgYXXnihbxuu1tbWvLy8\nwIZ0Jv24p9Fk7yiUSRBw4tDIfW+ef8X0xAhNR1JBCNS2Ol/5rtRsx/U0TyOcUTDsbKBWqzMyMqRF\nwzabbfv27YGX1TNUAAAgAElEQVQN6UzaX9Iu7YJUysh5E+LkNPHRgxOvmpkUpuqYgBEQKqy1vvRN\nSeDCPPvhjIJhZ4np06drNBrxtiAIZWVl0ijQGeZh+Qajq6rZ0WJye1ihow7X6VTd4hQ6f9kwFX3J\n5Hjx9jv3jZ89OkZGdZzoHG5uxzHj6Q4mlOH9KBh2lpg+ffrXX39ttVoBAAghk8m0Y8eOmTNnntYX\nRQjUtDoPlZsOlplK623NJrfZzro8HMcjAQEIAUlAmoRKORWuoVNiVFOGRV02LUGnGMgYqpod7baO\nsSwIQVSYbHhqx8o3h5sbnxWx6UCzFG2blSlrsGclagYyAqxTcGcUkiR7ftCgRHQKdCD9RJIkRVEk\nSQbpr0B1gr4VPIKH+OE58fOfnZ1dV1fHcRwAwOl07t+/fwAzitXJmu1sdYujpN5e1WyvbXU2GF2t\nZo/VyTrcvIvhGZZHAJ54YdT5JiMCwh92N778bUlGnHJ4DHPDHChto/HH4QqztGEeABAfqShrsP+w\nu+HPI4aSOlur2c1y3pAUNEGR/v6lS+9/8H5+SJIUPycDK4gzCkLIbrfbbLZAB9Ifbrfb4XAIghCM\n8RME4XQ6HQ4HTdNWq3VATgpnGMdxYvzB+P6Dzs9PWZOnpL1Cp6ZGp4dplRQAYPz48bt37xYvUwRB\nqKys7M0v6GL4mlaX2c4CAACEHC/UtrqK6+xVLc42G+v08B5GYLjO/7DIzfIsh3gBCQickD9OMsAl\nPYZHyOpkrU62ptW5lwa/F1TdciFxx0Vp/r0ZIK/U4JNR4J6itukPbLW7ODcjCMeHR5MwM14Zrfb3\n3x3HcS6Xy2azBe/nx+l00vTA16cJvnOBRBAEcTWLWMo7iJAk6fF4iou9q+OD61egadrlclVUVAAA\nWJYlSTK44idJkmVZMX5BEIIreND5+fl5V8XuWlWj0xytJS4ao7hgZMdAkniaQADyiKpq9az57Oew\niGgSQoIAgoDcLOAEAACyuYQ2O6oycHXtnMkhuBjECQAhhAAUBMQLgOGRgKA4BQIh6OuMDAQAnfqJ\ngoDsHlDSyK5aX2ZsbZo/Wu7PG7KvwMp0VpNECNlcnM11km/fMgpmx1HnZnoOHTrkz8uJ73+wf35K\nSkpycnIG/ODBnVGio6N1Ol0w/o263e7o6GgAgE6nA8GWUUiSFE9b0dHRkZGRINjiB50BR0dHR0dH\nu93uQIfTN+Lnp6g94nAzwXBckxkyPLGvSjDaOIYDRvO5LtaNAMkjArDkzl8BTVvFJ4ond4SAgBAC\ngOUQyyNB6HJZgU683WM6EedL5BSU01BOQYWMkFGQhAABwPKI5ZCHRS5WcDGI5bwHQwA0mfldFfxV\n5+hIP0ZPm63W7gOEEChoIjte9tgifXa8X9kLAECSJMMwoPPz43K5gmvsiyRJm80WHR19Ooasgzij\n0DQ9bNiwUaNGBTqQ/vB4PB6PR6lUBmn8CCGWZbVabZDGDwBwuVw6ne50fE07AzweT7OzkeUZAIAg\noIoWpqTRIwgIQIiQEgBlx+MQAB4ABq4ZOwQAQgghoEhIkYRSTqrkZIRGFhepyIhTj0rXjR0SznAC\nAGBIgiYxqiMMhADD8ftLTD/ta9p5zFDV7Gg2ecSrHwEBs5vMyBoeoZX1PyrKAKG7m7SHEGA4VG3k\nn/imfWhy2IJJcTfNTVPK/JqFDerPD8uygiDgeZSugu6rseR0/F2eSW63m2EYnudZlj0do7GnG8uy\nLMvyPI8QCq4vmCKO4+xuJI4tIQAYrnO+wI/lwuLbAAFEABEQkgRUyEiFjKRJKKMJmiJkFKFWUDo1\nFR0mj42Qp8dpMhM0E7MjonVyAMCPuxs/+6NmzcYKm5OlKWJ4SthVM5NuOC9VPLKcJqePjJ4+MhoA\n8Fe+4aIndjjcHf94BQFRlF9flmUU0eX3hifM5/ACsjhYq5OtbHLsPGZ4fX3Z5Jyo2y/KmDY8qh+v\nyLKsx+MJ3s+PeI11OgR3Rgl2gnDyznSDH0IoeNO5SBCEQG3X8F/nBo+O/yMg5E8yQ95xpoOg82bn\nz2Dn8itxah1CABDQKKjkGFWyXkWRUKOgEqOVOUnacVkRQ+LVFEkoZOSplkhtO9L60jeleRUmg9nD\nd0ZW1eygKWJ0um50RniXx5c32onOszCEUB+u0PZUBbJ7yCeFyGliRJrO7uKsDtbm4lwM77sbBiHA\nI2S2sxYHW9Hk2Hq4dUJ2xMNXD52c05+8EtRO079fnFEwLPgQEJCdy3QhAGoFlZ2oaWx3M5xAEpDx\nuFi3nUAcAXgSChERuqSkJAJCAkKShBQJCQjrDc6yBrvDw4POCxsXw88ZE/PcklHhmj5cdD743pHv\ndzbUGZz88dsYeQHVG51W50muxQ+UmlxMx+mMpuDwlLB+vgudWM772nGRyq0vztKp6cMV5q2HW3cV\nGssa7M0mt9nBsqz3YQgBlhPqDM5mk/tQuenCCXGv3D5GrcDnQ3/hdxDDghJNEdIXc62KevXO3Nhw\nucXBkiR0GqvefvMVcQ0xAGBY0rCXXrrB97lrNpa/+HWJw835JgGCgBolxfG9vW4+WGb693tHDpWb\nTkwbBAEjNbI5Y/TJetWJT6wzOKVTu1JGzsnV9/IVT8X3KoSAQCEjAQC5Q8Jzh4Q/cEU2AGD7UcP3\nf9fvLW6vbXW221gP6/16znJCTYvzsy01Ryotz988cs4Yf4MJcTijYFhQUnReSCAAGFZQK6jspI6G\nVHx62FqVSsooZrPZ4/HI5R1rnD74terFr0vqWp3SaVhGE1oldc6I6HNGxIiTIj169bvSt3+qqG5x\ncLz3bE4SMFxD63WKzETNrNExF02MSz1ZRmk1e6TxRpWczExQ9+03P4Hv1REBAUl0HZ2bNTpm1ugY\nAEBeufmT36u3HzXUtjrMDlYaKXR6+P0l7UtX5z1/86hLpyb4GU8owxkFw4KSRkFA2DHyxXBCQbVl\nXGbHjAVJkuHh4S0tLeKfOp3OioqK4cOHAwDWbKx48eviOoM3nYSp6Zkjox+4Ijs6TH6qJom+eAH9\n85X9vx5oMZjd0kEghBEaelS67sErhl4yJb6bp7OcYLZ7T+VqBTU0qecX7Z7vFBKEEPnMIXUxNjN8\nbGYuAOC9Xyo/+a26uM5qtrOo8/cqrrUtX1uQFqsac8LcD9ZLQVlCA8MwfRgpbSdwefiiWutxf6rX\nS2uQxO1sAIAVnxf+93+FdQaXdAoOU9EXT4rf+Mz0OWP0o9J1dE9rrvLKTXP+s/3bHfW+6YQi4ZB4\n9YNXZG/7v9ndpxMAQHmj3eHxjpKFqSiFf6t4AQAQehdcCQidbNt+V7dflLFr1bmPXzt8aLJWqiMp\nIFRUa3n2C9ztsf9wRsGwoBSnI+nOUzEvoDbbcetBU1NTpVXdLMvW1dUtXZ23ZmN5U5tbGnHSKqn5\nE+O+eGRyL1/xo81V167cu7uozenxDnVpVfSMkdHfL5/22LXDenOQOoPL07m/Xazq2MtX7wZFEt5C\nLzxi+V6kFAAAAA9emb3z1XOnDo+SshrLowNlpm1HDP5HFZpwRsGwoCSnIULSGlzQpYDVkCFDpIkT\nQRDe36P48s/aVrNHepBOTc+fGP/VY1N6+XJPfVrw1KcFpQ02aeoeQpAQpVx8furWl2aPStf18jhN\n7S7Gm1FgpB8bGyUyn0srXkAmWx82W0SFyf78v9lDk7TSguYWk2tLXov/UYUmPI+CYUHJ5OClLEJA\nqFMdt+Q3LS2t8xoFHmBnGk1aVvCeZ6PCZAunJn70wIRevtZ9a/LWba8z+CQkmiIy49X/uTrn5gvS\n+ha2nZXWGRMAaBQDUD5cJSelZW8MJ7RaPInRyh6e4wMCcNm0hKJaK8MhAADLoWZTkBXmGTxwRsGw\noGT1dlUHBAEjjx8+ioqKEq9RDnKzWoUE3udfemyE4oZzU16+fUwvX+jO1w9+u7O+zepNSGoFNWlo\n5Dv3jcvu+6Q6w/LeuDtX+vpJq6KlRQocjxqMrrFD+ja1/kdeq7SnhSAg3pjSb/iNw7Cg5GaRtGqW\nImGYquu2RIVCcZg7x4DipXQCIUiMUi5dmPnwNb2tRnXn6we/2VFvsh93fTN/YvxnD03qX9gy+rgU\nwg9Ee8cIjQx2XqQwrNBgdPX+uW6Gv+q5PXkVJmlTi05N9TUhYRKcUTAsKLkYhHxGvU7MKLvbMltR\nBIc6fg4hTNErn7hu+K0XpvfyJe5dnfftznqf9ohQHy5ffH7qS7eO7nfYKjkp7RcRBHTSsvN9FRsh\nJyAQdy0ynFDd4ujlE7cfNTz0wdGjVRZ35x5+koAjUnU3np/qf1ShCWcUDAtKTkaQyllRJIzRHTfq\n9dLXxUXmaBZJ/8BRfDi98uZR185J6eXxH/rg6Lrtdb6DXXER8rsvyXziul6t6TqVmHC5zxpl2G4d\nmJKF0pUOywsVTb3KKA++d+TbHfX1Phv4IQRD4tUPXz30xD2SWC/hjIJhQcnNAmnnBU0RSdHe3env\nb6p684dyO+v9162E7munhPU+nSz/tODT36sNFo/0k/hIxX2XZT3S6+GyU8lM0EhLsxAA1oG4RuF4\nJNVcRQjkV5m7f/zmA83PflF4tNpqc7LSDwkI0uPUD1+TM39iD1tqsG7gjIJhQcnp8bbKokko9Rf5\ncmvt8/8rbGjzrlaSAXcaXTEtRdPLIz/3ZdEHmypbfdJJXITirouH+J9OAAApMSq5rDOjoL6t9D0V\nzfGli5vaT7lSi+XRfavzftrb2Njm8p3BkVFETrJ2xeIRl01L9D+eUIYzCoYFJU9nKRMIgVxGigXh\nv9tZv/yzgtpW7zowGngSyJqh1NH29uTeHPa5LwvXbKxoNrmlwsYx4Yp/zkt78vrhAxK2WkFqld4p\nH5uLszq5MJVfJ6KpwyJJAgqdGxtdHr6gxjoitWtJ4zUbK97fVFlab3P6tCCDEEZq6Sk5UW/eMzY9\nzt8KYxjOKBgWfGwuztNZOBghoKAJnZreuKfx0Y+OVTbZpdW5FOT0sGEkuVcQCJPJ1ONhV3xe+M7P\nFc0+3/GjdPLrz035780D1qmTIolIrUxa7Ovy8H8XGOdPjPPnmBeMj1PKSdbprZr85+FW34zyR17r\nC+uKDlda2qwe352gFAkz4tSL56Y93rsN/1iPcEbBsODTZmV8a42oFdTP+5r+8/7RikZvOlHKYDRs\nHYN2AgAQQlIp4lN59osT0olWdvXMpOduzKqqqnI4HEOHDh2Qfp1D4jW7CtvEosUON3+wrN3PjEIS\ncHS67u9Co/i7K+WkNAZY3mh/cu2xHceMze1u35XKEIKoMPnkoZEv3z46J9nfBi2YBGcUDAs+Bgsj\n9TGBELKc8OC7R8oabNI5UyWnZozQxTX91NYGAAAIIbvd3s0B3/ih/J2fK1t89opHhcmumpG8cnHm\ntm3bNm/e7PF4YmJiFi5cOHHiRD+DH5EaJqMgxwMAAMMJlU1OPw8IAHh2ycj7VueVNtgpEs4Zo589\nOsZkZ55cW7Bpf1O90Vv3RSSnycwE9S0Xpi+7PNv/l8Z84YyCYcHH7GB9OmOhska709uQFyjl5OzR\nMeufmnLv0nXSg1yuU+77++avute+K21q99Ykjg6T/2N28pv3jC0qKtqwYUNTUxMAoKmpiSTJzMzM\niIgIf4LPSdbKaUKczEAAGK2eHp/So9mjY1bfO+7Pw61KOTlzVPTrG8o27mmsbXW6mOPaJZMkjI9Q\nzMnVv3Tr6LgIhf+vi3WBMwqGBR9Du5XjOLHSK0LA4eZ8BrvIGSNjNjw9jaYIhUIhzVh4PB6TyXRi\nMvjziOGJtQW1rc6OqXgIIrUyMZ0AAMxmc3t7u/hIQRBaWlosFoufGSU+SiFt+EACcroHYAExAGDG\nyGitklqzseLDX6vqjS6nx6fcCwAEhJFhstwh4Y9ck3Oe310jsVPBGQXDgk9xcQnH8VLtcOnMqZCR\n54yI/unZ6TQJAQAajUY6qzIMU19f3yUZ7DhmvHd1XnmjXSo6GaaiL5uWKKYTAMCBAwc4znvGl8lk\n8fH+btdQKyiK9G4h9LC97UN8UhYnuyPf+NvB5gOlpuoWR5uN6TLGBSHUKqmhSdpb56ffflGGP6+F\n9QhnFAwLPm1tbTzqWkBeISPPGR614elpdOf5OjIykiAIQRAAAAzDVFdXjxrlXbV1oLR96VuHiuqs\nUkkrlZw8f2zsB8s6ahIbDIb8/Hye71hrK5PJhg8fLhXJ7zcZRUgNsgAEXE+lvZwe/sNfq0rqbeFq\nOjFaaXGwDUZXq9lttDLtNsZkY2wuzu7iWB4h1PVQKjmZHqe+ckbSUzcM974odtrgjIJhwafFpRKO\n/8erkBHTR0Z/v3yab93chIQEiqIYhgEAsCxbU1Mj/ZHB4rnv7cOFtTYpnchpYsaomK+fmCo95rPP\nPjMYOnpPQQjj4uKuv/76LpE0tLk+2FS1r6S93eoJ18imDIu6ckbSiXtBfMnpvrVleuzj/K+21Rmt\nHggATREAAU5AvOBNHycmEgiBUkYmx6jmjY99bslI7QlFz7DTBGcUDAsyHpZvYaIQ8C6RgkAYEsn+\n9Mz0LifrjIwMuVwuZhRBEFpbW6U/un/N4bxys9Q+S0YTU4dHffPEVKmiVXFxcX5+vjTkpVAoJk+e\nrNEct/H+nZ8r3vulsqze3jFpAcH+0naahPGRim5aabGc4NsfrPsrh/xqy67CNmkRGsfz3TwYQgAh\nDFNRyTGqC8bHPXRVtj4cT7+fUTijYFiQKW90sMJxNeHl0DNductunSePivL9eVZWllwut9ls4l2z\nuaPg1ed/1G490ioV3KUpYmJ25PqnztH6lDP56quvfDdFJiQk3Hjjjb4H/79vSt76sbzO4PRmBwRM\nNqa0wWZ1st1klHY7y0ubaRBQ0N21SIEA8nwPEy0EhAQBNEoqKkw+NEmzcErirfPTcbXHgMAZBcOC\njE5NJ0UrC2ps3mbv0GwwGNavX3/rrbf6PjIyMlKl6qggiRByOBwul4uk5a+tLzWYO771ExAOTdJ+\n+8TUcLV3aOj3338vLy+XZlC0Wu3cuXN95yE+2lzVNZ0AAACI0MqyErU6dXejTEW1VobzthaO0Hb3\n4OwkzXljY2sNrnarBwEAASQJQJGEjCbkNCGnSY2S0ofLsxM1M0bFXDw5PkIzAG2GsX7DGQXDgkxS\ntPKiifrt+QYX03E65wDNMMyRI0dOfLBWq5UWELvd7vLy8lW/e4prvXsh9RHyJ68bFhfpHR3ief7n\nn3+W9thDCNPS0hYsWCA94I+8lpVfFdcZvPtX5DShU9OZCZrZY/RXTE/q/rS+p6jdzXRkFIoiUmJU\n3TxYRhFPXjc8PU6985jR7uYUMjI6TJYUrUrWK5OjVUnRyvR4Db4aGTxwRsGw4LP4vOTnvixydQ5b\ncYhCABoMhh9//HHhwv9n77wDo6jW93/Omdleks1m03sjAQIEQldARUVBQb/2AgoWUFS89n6tWK4o\nAipiQRAVVAQRRURUkJIAgRTSe88mm+1tdmbO749JZoeQjvfnDZnPX8lm9uzsJpln3vO+7/NeLTzS\nYDAghLhow+v1rttRtPu0wuXtyI7IJGhmuuGGmWeYSH7yyScNDQ18ulun011zzTX8T4vq7Cs+PFXZ\n7MSCguPZGSHrH5qg10r7U09VVGfj+zOVUmJKmr734zVKctm8xGXzEvtcWeQfZ2BFFyIiIv8LkASU\nCfaKMEAAAJfLdejQoS5HJiYmdppxwXz3yC+zWWNnlhtCkBSh/s/dZwycr6qqys7O9ng6jpFIJOnp\n6bzzSnGd/bbXs4oEFWJqBXnVlPDvnp8WHCDrZ3luS6exMff0SzLEfsPzB1FRRESGJATyX79ZAACA\nGOOGhoYjR44ID0tPT1coFK1sxGHfZZVMqp0i+MRHSKB8+fykKINCePyWLVtMnBcYAACAsLCwxYsX\nc1+fLLfc8npWXpWFERQcz0g3fPHE5P6fttHitTo75lxBAAJUkmDtuTa4iPzvICqKiMiQBGP/KFwI\nADcY12637927V3hYYmJiqW90PjPFjEP4mfMAALWCvHJi+NK5Z2wlHTx4sLS0lK8YVqlUM2bMCAoK\nAgAcKTIt+k92fpWV7izTkhAwMyVo69NTBnTaNS1Of5M8BEG9puVFhhyiooiIDD0wBizb0ckBASAJ\nBAEGALAsW1VVVV5ezh3m8bG3rMzKt8e4sBoD/5aURknOyQzbsGJCl2V3797NVxhDCGNiYm666SYA\nwM/HmpesOn66xsb3r5AEHJ8ctOmxSV3mJ/ZJrdHlL/QCsJciY5GhiKgoIiJDD4pm6c6mcQyATELy\nOQyLxfLtt98CAL4/1DB9xf4dRxpcPn/DBwRskIK+a07CpscnEcQZaY8ffvihpqaGWxRCGBAQsGDB\nAgDAezvK7l+bUywwa5GSKDMlaMuTkxPCBzz0sNns4X23IMQ6tRijnFeItV4iIkOPNhtFdzaPQwAC\ntUo1reY6GRmGOV1cccOL+w+VuJrbz5imLgGUDpnmhDesuvfmLgtSFLVv3z6n08l9ixBKSUmZNm3a\n8nUnvztY32LxCguFJ6YEbXt2anjQYNrRW61+230IQZBGTKKcV4iKIiIy9Ggxe/0GixBGhOojcERp\naSnGuIGN/6tltLOlzccKQxAsB64IVD2SPIGduqKiorS0M+bgfvrpp42NjXxBsF6vv+b/rr/2xcO/\n5xotnYl0AIBcSkxNC/rm2Wl67SB3q2wuHx/rEBAG9toLKTLkEBVFRGTo0WYTzHAEWCkjLp52cWNj\n4xHLyGY22ouVwk52mZQIkrrCvaciYAUAwOFwHDlyRKgohYWF2dnZXm/H5CupVBqSMH7px00nysy8\nUwuEQKOQzBpr+OqpKUpZb74pveP2+j29EIIqxeCXEvkfRMyjiIgMPdzUGeOkZFLiyiuvPEHPbGAT\nPAI5gRAYAmVzJ4W9e3twsrqZe5Cm6aKiIuFqmzdv5iuGIYQ+7chdNYlZxSZeTgAAhgDZTbOid/57\n+rnICQDA62N4SYEQnONqIv9riIoiIjL0gACCztotCCGEYMGLh+tcep+gPhgBJlZP/vv2Ud89N+3K\n2RdoNBrucYxxbW0t37by2WefVVZWcjNUAABGyahjjjFFtXa+ShhBEBeqeuz61PUPda0NGwRugUpB\nAFQycZvkvEL8dYqIDD2kEn9/Osb4dLXNZKPcPn/UIoVeA2q60mC6b941AAC1Wh0REdHS0sJFNi6X\na+vWrRMmTCgsLDx48CA/gr4Mj2+kRjh8/qGQJIFSo9Wv3pl+9ZSIv+XMnR5GsDhUycUY5bxCVBQR\nkaGHWk4K7BGhzeVrd1Ad3wAgh84EoigeFbY2Kj7//PNFixYBANLT0/Py8vjuxfr6+iNHjuzcudNk\nMmGMMUAn6QvaQaQXS4RlXROSdZ89MjElSnMuZ1vR5Pwpu6m03g4hKKn3WyaTBAzVifNLzitERRER\nGXqo5P7xHxhgAkEJAb0sJgmok1ExdG44KAcAuN3ugwcPzpw5My4ubvr06du2beMVhaKoL774or29\nnWXZNjashB1vwzoG+yMGtZycMcbw3XNT5dLBhxG/nTR+8GPFqUpLq8XrphgEIcb+2b1SAsaF9mY8\nLDLkEBVFRGToEaiSIIGkaJSSi8eFVjU7wnTyeRO0h3b82djY8cPW1tb169evXLkyPDxcp9PxG1wY\nY6PRyLJsOZNeyya7sAoImuqDA2RXZIZtenzSoM+w0eR+/OO8P/Nam9o9THeT5CEEcikMCRT7Uc4r\nREURERl6aJUk4RcUoJQRz92aZnH4kiJUgWopbLtg9+7dXLsiy7Ll5eVr1qx54IEH0tPTm5qa+BCB\nYfEp+oI2HOnFUkGeH0QFK2+/JPbVO0cP+vQ++LHi/V0VZQ12v4XX2WAgl4iDTc43REURERl6yKQE\n2bkXBSF0eZmkCP8E+Ntvv72kpKSgoIAbi+LxeI4dO7Z79+4pU6bs27ePe9CGdQXMFCsOEu50SUk0\nIkrz5E2pt1wUM7gT89HsXe+c+OVEs9HsEQYmCEKpBKkVpN3l42VGSoqKcr4hVg+LiAw9FFLEX44x\nxm4v4/DQwgMWL14cFhbGF4SZzeadO3eq1WqZTAYAqGOTcugZFhwslJMAlWR2RujuVy4ctJwcLjTN\neuyPbw/WtQjkBEKg10onJAc+cHXSkzemahSd9c0QiKPgzz9ERRERGXoQCMol/vkoFM2W1NmFByQk\nJMyfPz8wMJB/pKWl5dNPP5VKpUXMhBJmnAMHsNi/0xWpVyyZE7/7lQuizxyX0n/e2V666K3srOJ2\nl9ffcaKQEWMTAlcuHpO9Zvabd4+5aKxBUPQMSEJUlPMNcddLRGRIopIjALmpKMBHsxaHr8sBV1xx\nRUVFxYEDB7hsPMuyheX1JzyTTEywD/jz4SQBUyI1T9+cduvFgwxNAABL3zux83Bjc+d0SAAAhCBM\np7hiYuj6hzJ55Wi3+1tmEITirtf5h6goIiJDEjnJCwpgMfbS3eTAly9f3tLSUlBQ4PWBEnZciy/a\njVWsYGeChMz0kaHrHpgwKlY7uNOwu+lbVmYdyDfaXP5tN5KAKVGax68fsejSOOHBVgfFT1jBAMtE\nRTnvEBVFRGRIIiyUohls6exw7MLy5ctvfGTDyTaDE2uZM//f5YiaNkL5238uGvQ5nKqwLFuTc7Lc\nLKzp0iolk1ODNqyYEBvadXqKw0P7rewBkIm1XucdoqKIiAxJ1HIEBbteDW3us49pt1MPfVKV50q1\nYVbYbgIAVpOe22ZFvv/oxYM+gW8O1P978+nSBr8DGAAgTCe/9oLIdcvHd/sUp4fBglBKjFHOP0RF\nEREZkuhUBIEgd8tPM7jV6u1ywJe/1775TUlJnd1DYX+7CQAI0IGE9eH5cc/cc8mgX/2tb0rW/VBe\n1+rmjYQRBHFhqgcXJD+0ILmnZ7kphvEfL+ZRzkNERRERGZJoFZDoTIiwGJtsZ+x6PfJR7rY/6xpM\nboHnPQOjPYEAACAASURBVECAUUJnBNlw3QT0zD1LB/3Sj23I++K3mhaLh19cQqK0GM1bd429bEJo\nL090e2ngPx8sk4i1pucboqKIiAxJglSI3/bCGPB5FIzBzSuP7s1pMdv9GgMhCA2UxQc4Z0eZ4iKj\nLrvsskG/7pJVx3840thm84dEShkxcUTQxkcnxp2VOOkCiwHmJQUCKIYo5x2iooiIDEl0KsR3CLIY\nc7lxH81e98qR304anYKGR7kEpcVon7gx9caZ0RhjeA4X8htfPfrLiWarYE5woFoyOyN06zNT+9Ot\nKCUR/+oYA5rp/XCRoYeoKCIiQw+GwTtzXC7Kn+YmCAgAuO3NbKGcQAj1GsklGaEbVkzQKCXcI4N7\nRYzxNS8e/u2U0eH2Lx6slV4/I3rd8ox+LqJVSoSeyU6vKCnnG6KiiIgMJZweev3uys9/rSqp9/JF\nVgRChgDZPe+e2HuiRSAnINqgWDov8akbU8/xRTEGV79weP+pFr4fHkIYESS/64r4f98+qv/r6NR+\nRcEAOL09+0iKDE1ERRER+YfhukkaTO6Camt5o6PV4mUxUCtInVqqkCIfgxkW0wxuNLlLG+xVzS6j\nxePy+Ke1AwB0aklDm/t4abvV2Tl3C8K4UOWrd6bfPCv6nE+Pnf/vw3/kGt1+OQHRBsVj149YfnXS\ngJYK1cmlZEc2HmNgdw9hReHnKIsIGdqKIpVK/+lTGCQkScpkMolE0veh/5NIJBKFQkEQBEkOyT8h\niUQik8lIkux9F8hko0rr7SX19spmZ4vZ43DTFM2yGEMAAQBKOaGSkYFqSYBKEqSRxoepooIVKjmp\nVUoC1d38Zl1epqHNXd3ibG73nK6xVjY7m9s9FofP42M8FOv1MV4f6/WxDIMxwAhCguAbTgDAgGYx\nfYaOdKBVSpIi1IU1tjZBuVeYTvbqnaPPXU68Pvbalw7/kdvKRycIwrgw1b9vG3n77NiBrhYbopR2\n1ndhAIw2ptlMRQST/8uWkYU1tlOVlrIGR3O7x+KkfDSWS1GwVir14dky9lySUv8gJElKJBKK6r4r\n9pxW/ttX/P8GwzDt7e1Wq3XI3SwghCiKam1tVSqVVqsVDLX7HZIkPR6PxWLx+XwWi+WfPp3BQNO0\nzWYDAHT5+zFaKKOV+j3PlFNhq25xmx2Um2I9FOP1YRZjlsUQQowxV6UEAYAQIAgRAiSCEhKRBJSQ\nSEpCmQSpZIRaQcpIyGDg9DAON+30MB4f66NZr4/1MdhHsxiAsxWiEwzonn7UAYFAtEFxZaahxUJl\nl5j4xxGCEhK2tdvNZvM5flA3v3nqQIHZTfmjk9gQ+bM3xM+boB3Q4vX19WVlZVU1dW6HHnS6ilW3\nuNPv3qWSS9UquZSEKjlhCJAlhisnpwRkJAaEBv5j94teH/tDlnF/rqm43tlmoxwexutjaQazLMtl\nohCCUgJ/fcQx47D7uZuSQgKG2K0tTdMOh4MgBj+dsyeGtqIUFhbyU06HFl6vt6KiAgDADasYWiCE\n3G43d/4URZEkObQUEQg+f6/XCwAoaqJ3n/JWttI2N3ZRmKIBRePuL/fcQ2f8gP+666/SH2LAXpRj\nMEhJqJbQcTrfw/MCpaTt42o3I/gNsCyua3V/9mOeveqAWuLzeDw0TSOEFAqFRqPRarWBgYH9ubl+\ndZfzSLnX01nYBSEID0ALpxIxsoacnIben2s0Gmtra9va2mw2m9vtpijK5/MxDAOoSwEI6ThPgKwe\nYPUw0OLEnS9BIvCpBCqlUKNABjVMDCXHxZDjYv7r0XyrnT1R7StspOtMTKsdO7ys24vZs/8GMAYA\nMCz20cDpZb452HSsyHjXTOX42KF0LeX+/keMGPG3rzyUPoUuEAQRHBwcHx//34jd/qtIpVKbzcZF\nJ9HR0WCoxShdzh8hNLTOHwDg8/m484+Pj9+V3br+99byJsrH/K1XfeHFqB8LQwghAAQCCAEEIcNi\nlsXClg0EgVyCVHIUEiBJi5SNUNVLPA3IS5QbFbk1FIRIeO3DGDS0tB+yHVcAO8uyXNEwQojb7lAq\nlXq9Pjo6Ojw8PCwsTGh6z/PC1oYT1bRQTmKCpY/ND78kvXtPycbGxrq6usbGRpPJZLFYXC6Xx+Nh\nGKbL30YgaLWCoC4OY/7PCQMfA3wMtntwi42tNMKcWmZPvk+v8SVHyGenay8fF9D3R9lvCuvcR0od\nhfXu2jaq3cE43IyLYumB/BlQNC43Mh/+4f3XVbqePpn/NRBCLpfLarWKMcoZkCSZkpISHx//T5/I\nYHA4HA6HQ6FQJCf3aFnxvwnLsgRBOJ1Os9ms0+kSExOHYiqFoiij0ajX69VBEduyqksa3N2NQu/Y\n3EIQEAiSJJQQCEIIMIYIsixmMaBplsUYY8BgzLIYAIh7DUYgpxwQEAhKJUghJZRyQiElFDJSoyD1\nWmlUsCLaoJCShMnutTh8DIMhgiQCBII6jSwxQjU+MTAxQm1saX7vvX0lNTXfZVnLfakOVt3lVSWA\nUuM25G3r4s3CxWRWq7W5ubm0tFQqlcrlcrlcLpVKtVptbGxsRESEVCr95KB3b57H5mb40w4PIBZf\nIIlXtRUW1nu9Xq/XS1GU2+12OBxWq5ULRNxuNxeI9PIhxBClTqA14XAGExj0ESexGHt92OtjTQ66\nosV7uMT13s+msCB5tEEZFawI0cmVUhSolkYblHGhymiDspe4i2sCrWhyljc6iupsp2tsXBGE1UV7\nKYbFoKdz5vY2CQQlJJKQCADAstjrY7lNS+7baqN381/2q2eNigpW9v6O/kfgFKX3v9XBMfSuBTwY\nY4TQEM2MIYQQQuAc+gP+Kbj7Gi6nzX095N4CAIAkSe7kv/y97nS1TSgnEEIIsIREXL7dECgPDZTF\nhCijgxURwUoEAUKQRJAzPmm3UzaXz+6i22xes8PncPtcXtbtpT0U66EYH8NtvAOSQFISKuUkw2CK\nYREEGgWZkaRbOjdxTEKAQjrgW8Vff/21srLyuCO9kYn1ArnQBZKEtBw4w1BtAjrd09MxxhhjThjs\ndjv/xnNzc0mSLKHTK6gkD+ufoaJE7miq4PTvNfmcgGLMRR7Cr/sEIUQQRJgMB6GSGsppdKvdjNSH\nCQYQGBCIlEKJ2k0xDIvxWfUHGAOawe12qt1OVbW4sorbCQQJAiIISQJKSSQlkUJGKKSEXNaR5vfR\nmGZYTipYDLj0FUVzWTGWohmMe9uKhBBISaRVSvRaWbRBMSJKEx+mCguSaxQSs4M6Uti663Ct0cZy\ncS2LQWGtbfO+2qdvTuvPR/GPw/3z/jdSBkNYUcBQ2yzqAsuyQ/f8mU7+6RMZJCzLcrfSx0ra+Xm6\nBIJ6rTQpQh2hV4yM1V49JWJCsm5w6zs9dKPJ02z2ON00ACBEJ99/quW7vxoqmxwWh49hMUkgl5fR\na6SJEapBKEpObuEB+7R2HOID/gQDAlgB7bGoNJEs4ra5IOy4a+EKCni6XZP7UbE7qZKN92BeTrAM\nuGNRkYEucg3w+oMQ4mrquPyNXq+PiYlJSkpKSkqSSqXZ2dmbN2/mKjvacUgVmuhFai5YUCtItYKE\nENrdtEtggM+fJ4MBw3atXODeI3d70+Utcnrb5w05hEBCII2CDFBJIvSKjCTdFRPDZmeESMiu/mM3\nz4yYl2J9Zrv7dL2H2yVzepiCGtvAPqB/Dozxf+mfd2griojIOVLf5t/v0iolP71y4aBVRIhKTiZH\nqpMj1QCAX060PLL+VH61td1O8Vc6hmXKGhw/HWueNTZk3uTwAS3+3e+lW0qTzayaBX4pIiEdRJqn\naAsMSkomi1apVEqlUi6XKxQKrk6aYRin02kymcxms9VqdTgcZ9/Q1LMJVWyaF/u3bqTAG01U9hLu\n8HChKkEQvISEhYUlJSWNHj06Li5OqTxjO8jpdBIEodfrrVZrMZ3RwMa5sQp7O5I2Hh97z5UxS+bE\n/3bSeLCgrbDW2mL2Wpy+bouneTil7PaAXrSEQFAmJdQyQqeRRujlGUm6memGi8aGaJR9XBvlEvCv\necH3f9rEmQhgDKxnjdEchoiKIjKscbj9VwGVnOjT63BAsCx+8INTPxxpbGhzdZun8VCM1zewW8Un\nP83/7OfSdp8WCwzqFYQvPZxafc+EkJArDAaDWq3uZYW8vLy1a9c6HI4uj7fhiDJmrBv7PwEp8EYS\n1SMlp7iAB3SGO/wXfKpfKpWq1erg4OCoqKiEhITk5OTw8L5lUhkYfoyON7HBPnxG9a2URBqlJC1G\nmxajXT4/CQCwO7vp+0MNRbX2pna3w027KcZHY5ZlMQAsBgADFmN4pnLA7oSEq/aGEMgkhFZJ6rWy\n5Eh1ZrLuwvTgcQmBnFFN/7E6GUmn/zOEAIlOyqKiiAxzPBTL7wLJJES3nYmDI7u4/dENuSfLLU4v\nLbxxJggoIxGCUKskF0yLHB3X3+KlE2XmJz7JO1FmsTpZQU4bBynZJ2+d8Oh1/aoE3bVr186dO41G\nI/+uIYQKhcIjCSuzjXcBfyQhQ3S8qu3SiFadbpxareb1QyaTSaVSmUzGxSIBAQEGgyEsLEyrHVil\n09EK6sviOCMDhFOKEYQ6jeSSjNArJoYJD547KXzupHAAgM3lK6i25lZa61pdTg/j9NA2p6/d4bM6\nKKeHdngYs4OiaBZjAAGQS5FaIVFICYQgSUC5BGmUEq78ITFcPTk1aEqanlv/ZIUlt8qaFq3VawfQ\nWVLf7qNof6eOXivr/fjhgKgoIsMXzG3Hd0IS8O9q3v5wd8U735VVNDm6rB+mk09IDrpgtB4AEBoo\nn5QaNCJK058FX/qicPNvNdUtTmFtKwJsAGl74qq4/sgJRVFr1qw5efKkzWbj5QQhFBoamjFtzsfH\nNBaTv/hHgphQsnkk/stiUWVmZs6ZMyckJKT/b79PVm2veH+fy2hDgn03LCOYialhS+bEXzkpPCSw\n+6uzVimZNjJ42sjgs3/09Gf53/3V0GrFPrpjc0whI5ZfnbR0XoJaTp6dC+FoMXuuev6vepOHRHDm\nGMMzN6elRvfrNwIAaDDTPrrjEyMRjApW9POJ5zGioogMXzA4o2b076pZe2Ddye/+qm82ewVxANBr\nZBOSA1+4fdTUzvviflLf5l723onDhSazgxKcLJYAXxAyTg84Pf+CmX0ukpWVtXXr1pqaGmHzlkQi\niY+Pv2XRvcs/rc+vNvPihwCjA81jwH6KAhRF5eXlTZw48W9UlPvW5Hx7sK7NKtwIxArgTFY0ff3I\njMjIyIEuuPNI45vbSgqqrTbXGZkMD8W4vDSCsCc52XmkcenqE0aLl5OgHYcb0uO0qdH9NdZsNvMl\nxEAmQUkRvW02DhNERREZ1iDE74PDAbW2dYvZQS18M/tAfpvdTfvv90kUH6q8d27iv/4vZaALbvuz\n7pWviorr7D7afzePIJYDZySqHEGc0kj1Ol1vpQRer3f9+vU5OTnt7e1C+VQoFKNHj3700UcXvHw8\np9zMrw8BGwjbJpAHOl4LoaCgoC559UHj9DC3rDz6Z36rcMIKAowGWtLInDipvba2dqCK8vjHeVv/\nrKtvc7Os8OYAEgiOSQgcHRcQoOp+J/OVL4s+/LFCOInS7WVarQNol262+PczlXIypX/h5vmNqCgi\nwxcEgUzCD4DCFM06PbRKPsh/imOl7cvXnsyttAqT7WoFOWlE0PqHJgziBva5zws+/7Wmoc0trHAK\nUEnUuDWOOqxDbQAAkiQ1mh4vZLt27dq7d29jY6MwNIEQ6nS6KVOmLF269IZXj/5V0Er5eDnBgag9\ngzhIAB+EUCaTxcfHT548OTa2X6aQzc3NFEXpdLpuTymv0rp0zYmT5RYP5f98FCQbwDaNIw+SwEfT\ncpPJdPYTe8Jkoxa/fexgQZvFQfEfEIRAISVCAuWZKbobZkQvmN69Pi1ZdWzX0aY2mzDsAzqNdPqo\n/kaQZhe2uvy9nBoFOTpuaPTM/1cRFUVkWKOSkx3mjwBQPvZ0jW3SiKBBrPPRT5Vvf1tS0eTk944g\nBCEB8nlTwj9+OHMQC972RvYvx5uEdsIIwehgxY0zo63H9zQ0tHEPkiQpl8vPfnp+fv62bdsqKioc\nDocwNCFJMjIy8tprr7344ovveffET1n1bv8rYA00jyUOKpFbpVKHhIRkZGRcdtllERERfZ6t1Wrd\nvHlzS0sLQigjI+OCCy4IDj4j1bFlf+0rXxaWNzqEgWCwhhwT6tQ2HuBa7ViWPbsCrScOFrQ9sj43\nr+oM/ZYQMDZUde30yJVL0lEPm5hmh+/W17P+Ot1mP3OLTK0gr78wasG0/kZIZc00P98FQhgSKNcO\nsFTsvERUFJFhjV4rg502jl4fU9fqGqiimB3Ug++f+vVEi9HqT5wgCGNDlcvmJT52/YDN+BpM7jve\nyj5SZHJ6BPfyUiI9PuD1JelTUjQPHPVPUTx7IALDMBs2bMjOzjaZTF06TgICAkaOHLls2TKdTvfI\n+pNf7it3+To3/QBQQXs6mW1Q0hERCZdeeuncuXP7ecL79u3buXMnFwlFWyzN+/dXHzumWbRIltKx\ny/fsxoLP99U0tLl4aUMQhAYQt88MSpK0/dTY8WAv3Zdd2P5XwzMb88saHEL9DtLIpqbp3102NjG8\nx3CwsMZ21zvHc8otlECHVHIiJVKzaum4WWMM/XzLAIBGC+Ol+V83iA/7O+vOhy6ioogMa0ICZAhC\nFmAAgI/G9W3uAT19/e6Kdbsqyhocwp0cCYlGxWr/c8/YS8YNOJv907Gmpz7JLxIkTiCEQRrpJRkh\nnz86US4lbDYbrxMY4y5mf/n5+Zs3b66qqvJ4PPyDnPBERERcfvnl8+bNAwA8seHE+l2lTl/Hvz8E\nQAEdqZL8tDA0ffqVd9xxRz/P1uPxvP/++6dOneKc7a8sLEwyGgO8XqK42ORy6e+/X5aUtGTV8e0H\naywuv7ZJCDQiWn1zJr5yYsCBA25h4ZlC0Xe51LYDdc98VlDR5ODVh0Aw2qBcMif+2Vt6M0E5kN/2\n4PsnT9dY+TgJQhCmk99yUcx/7hnbz7fMY3Fifh2SQGKhF4eoKCLDmnC9nECAayrw0kyd0dXPJ9pc\n9NLVx/fnthotXuGdNZc42fjopGjDwC4xNMOu+DB35+GGRpO/jR9CEKmX3z479rU707lHKIoS+mcI\nbTq/+eabvXv3Go1GYWhCEERQUNC4ceMWL17MdT4+8v6RD3dXumh/44UMukcoKq4cE3DPPY9FRkZa\nd+xwHToE5XLdrbfKUnssfDpw4MD27dvr6uooiiJY9oacnESTSe7zAQBAW5vtxx9Vs2bNX1/2x2mr\nl/HLnlJGTBoR9N7SUcbqPACA3W7nz5YkyS57ZWfz87HmZzf65QR26vdrd6bPObOF5awnNj36UV5x\nvZ1P4CMIEyJUj1+fevcVg3GbbXeyfIREEHBAjSznMaKiiAxrEsJVUgny+lgAAMuCfsYoWcXtKz48\ndarijCQzd8N7xcSwT/41caCncby0/V/rc0+WW3iTMQAAgWBSpPrpm9IWCqYlCi/BEEJ+jOn7779/\n5MgRoaEshFCtVicmJt54442jR4/mHly26sCmfXVuRignnhHqhn8tSL3tttsAAOYvvjCuXOktKwMI\nWXfujFq3TnXhhWef8AcffHD06FGz2Ywx1no81+fkRFksEl7JIMQIXbGp7rhL72P9kZBKhq+cHPbl\nU1M9bpexGgAAuJkCHBKJxGDobd/pWGn7YxtyKxr90YlCRkwdGfz101OCe72g7zjc8PjHeRWNTr7G\nQUKgkbGad5dmzBo7gJ0uIS02f5++lIRDxXX4v42oKCLDmuRIjYxEnPsui7HZ0Xfx6Ce/VL25tbhL\nEl4uIVKiNA8uSFp8+YBvePeeaHlsQ+7pGpuwHVImIcYmBKy9P2PimXkdo9EojFG4ut5t27YdPnxY\neHUmCCI8PPyyyy675ppr+Aevf2Hfj8eMHoGcSKE3NaD1w4cvmjJlCveIbc8eT1ERl1nynD7d+u67\nXRSltrb2ww8/LC8v93g8GOMoi+XqgoJQq5XA/sCK1WqXht5w3KHzCa4wcuS5NFX+1VNTkKCNVFg4\nIJVKQ0NDe/qUqpqdS1fnFNfZ+Q9JKSMuHhfyw4sX9N5ItPXPumc2FlQKdsmkEpSZrNv8xOSEc0h+\nmBws7vR50Sgk4xK7mTEzDBEVRWRYYwiQCtrfoDAZ3i0vfVG4YU+VMMkMIQjTKS6fELrm/gy1YsD/\nUNkl7Y98lFtUaxPoE9RrpTNGB3+0IvPsvRRhKTCEUKvV2my2U6dOcUOOOVQqVWpq6rJly/gLtMNN\nz31q79ESG8X6M/ky6B0R2P7Ny1cJh/SwgnUAy7pzcjwFBfLOEGfv3r3ff/99Y2MjFyelNTdfVlwc\n7HRCwcfh0WheHnl7liLFBzpOHgKggK4Z0eY37p6LBO5XNpvN5fJvMyqVym5nfwEA2u3UbW9k51db\n+U9JLiVmjgnZ9dIFPX6yAABOTj4rqGz2y4lcSkwbqf/++WnaHvpU+kNupdXu6ZBCCEGQRtr/Tvvz\nG1FRRIY1ajkplfC7/Nju7s0+dsUHp776o85o8Se9pSRKidI8d2vaDTOiB/HqJXX2patPCOWEJFBC\nmOruKxMeva77dsj6+np+rAXnocK5CPN3+iqVatasWUuXLuWf8vOx5kc+yC5tdDPYn8+QQe/IIMtP\nq24ICzsj/aAYO9b+88+48yUYiwV2lpN99NFHhw4d4na6AACZdXUzysqC3G7e7xcjZAkI2DDykj/U\n470CP3wF8sxOsH347I1d7CPr6ur4CgIIYVBQ91V2NINveu3o8dJ2vlpBSqIpqUHbn5/a7fE8O480\nPvd5QVWzU7hLNmuMYfvz0+QDnyAgJKvE7Kb8+Rix0ItHVBSRYU1IoFwu6bhrxhi4vSzLYnSWuxeL\n8c0rs/bltLTb/dtiKjkxNU2/6fHJ4UHddIT0icNN3/3uceF9t0yCJiTrNj0+qZf61+bmZn7XSyKR\nxMTEBAcHx8TEVFZWejweuVyemZl5991388c/+Un+pl8rms0+LDBklEP3uBDrnjULAwK6+lTq77vP\nvGULVVXFfYspyrpzp2LZsnfeeaewsNDpdHKPT62unl5REeD2p51YhFoCA78fNWqfarqLVfFDwFSk\n7/bp2g+eXnj2e6muruZmSgIACILoom08C9/KPnS6jeqUE5KA4xIDv3p6Su+qcOh021Of5AtzJyo5\nedFYw45/Tx+0e1telbXJ5B4RralsclK8oxcBR0SJ/isdiIoiMqwhCahWkHxLittLVzU7E8/sb8+t\ntCxfezKn3OKm/GlzvVZ6xcTwTY9NHPQIyzvfPnas1MxXoEpJNCVNv3flDGkPJlQAAIyxxWLhWzKl\nUmlycrJUKp07d65arW5vbw8LC5s5cyZXUmyyee/4z/GD+UbrGaOysAo5p0dZd7x3b7elupLwcPVF\nF5kbGjBFAQBYt7tp48aNTU01NTU+X0cAN62q6oKqKq2gQJkmybrAwG0ZGbXSaDsdyFsjy0m87Oq0\nt+4d3+3bqa+v59VRJpOldldX9uQn+XtPtLi8HYchBEfFBmx8dGKYrjcVr252PrDuZEm9fzqnSk5e\nPM7ww4t97JL1RF6l9YXNp0vq7TTDjk0IbLN6+ZUlJEro+Q5guCEqishwJ1AthQByWVYvzVa3uISK\n8v2hhuc3nS6uswmaGGBooOzmi6JX3Ttu0C/68Ienfjtp5EvFSAJmJOm2PTO1FzkBANTV1QlT2QqF\ngiu3jY2NXbhwod1uV6lUXKJi+18NL20pLKq18rfSAAAEWC2yzEmyblr18NmtkTwhjz3m2L+fqq4G\nAACMfRUV8T/9VN7ZrjippubC6mq1IP9BSSSVQUFfZmayENqYQBr7i7tSY3U9yUljY6OwMk2r1Y4d\n27Up5L0dZZv2VbfbO+IYBGFSuOr9B8anxfTmd+L1sQvfys6v7rCihADIZcTMMYOXk/98W/Lxz1Wc\nkzTGoKbFFa6X8x+rlESRYjNKJ6KiiAx3ApQkP57JR7OtVv+t9+6spic/zS9vcLCCZvjIYPm9cxOf\nOYeJ4g99cOrL32v5ujIEYUqUZtPjk3qycOcpLS0VJh667FnxblrPbizY/FtNfesZY74kwBtMtl03\n0vzmy0/1IicAAFlqqmr6dF9jIxemSHy+0Q0Nx6OjzQpFRmPjRVVVms69LwCARyIpDQnZlpHBfasg\nPCpEW3wyAEBwoOy2i2N6eS98Wh4hFBUV1SWP8tUfte9sL2tu9/BvIjJY8eLC0dNG9mG9dcOrR44L\ngz8Jmpqm3/Xi9N6f1S0Yg8Wrjv2U3WS0ePkHaYb1UCzwxyiij70fUVFEhjtalYTft6IZzJd7/XKi\n+eH1pyqa/BvxJAFHRGmeuint1p4vlL1T1ex84P2Th06bLIIy5SiD4oVbR6ZE9r1z0tDQwBd6ca7A\nXQ5we5mFb2X/nms02YRl0FgBnbFk5VUjvc8//3y3PmBd0D32WP2ePSrOtxHjQJfr6vz8nPj4yyor\nu8hJUWjod+M6YjWVSjUjPnhyWOLJWprysdNHBd/Zcy11U1MT31ijVConT54s/OnhwrYXvyisMTp5\nOTEEyO64LO6mWX1UQNzz7ok/81rdncEfgeC4xMBtz0w5OzfWJ3a378ZXjx4saHO6/duGEIJogxJz\nI70wAACQBIoJEZtROhAVRWS4o5aTfCqEZQE3Y4NzNqxodPC3+XIpkZms+/ChCaNiB2kx+9KWwi2/\n1VS1uITW9GE6+ZI58TfM7FepmMlk4reJCILo0mF+sKDt8Y/zuvRdcl7xIyWnJiXKn3jiud4HBnPU\n1NSs/eKLxKCg8VarjKYBAATGse3tcXa7xOPhK7u8JFkSEsLJCULIYDBceOGFixYtcnmZ3AoLg/H4\nJJ1S1n3y/PTp03a7XbjlNXOmf8pLg8n94Punyhr8Jb8BKsmCaREvLRzV+5n/e/PpHUcaeKt8hGBq\nh55oegAAIABJREFUjHbDw5mDmK7YYvHc9OrRI0Umr8//y1LJycRw9d1Xxn/0U2Vta0dVAkkgkhAH\nAncgKorIcEchIxDsuOFkMXZ4mPIGx7cH68oa/HKikBEzRhv2vNZN93h/OFpkemZjwckKi9l+Rgdl\nWJD8totjn791ZD/XEZp6EQQh7N5Yv7vy7e9KK8+cGimFlB42jZUcjYs0LFu2TK/v26o9Kytr06ZN\nDQ0NxSkpEW1tMRYL12sipWnAMJycYAB8BFFmMHyTkQEAkMvlCQkJCxcuHDVqFABAKSOm9rUx9ccf\nf/Dbdwih2NhYPnKiGXzr61l5lRbeLkUlJy+bEPrRij4snDftq/n0l+q2zu0pCECsQbnyztHp/Z67\nzNNq8V738pHs4nZK4K4WppP93wVRa+7PAABs+KmSPxgCwKusiKgoIsMduQTx9VoYY7eXrmtz1Rhd\nwma6C0cbdg5qIx4A8OhHudsPNdS2uhjhQF8EY0OUd1wa9/xt/ZUTAIDQ7J0gCD5x8uSn+Zv31TS1\ne/wWLADIgTMKVaaSp/R6/Y033jhiRN8uyD/++OOOHTs6ptBDuD8lZX5+fhCfhO9cnCaIyuDgrydM\ngBAGBgZOnjz5/vvv7/+7oCiqsrKSP1W1Wn3BBf6c+TUvHsoqbvcJsiDTRuq3PdNH68nxMvNrXxXV\nt7n5jzgsSL7i2uSrpvRtxd8Ft5e54bUz5AQhmBCmeuaWtDsujeMP4+sDAQCDrvc7/xAVRWS4IyER\n7EyzYgwomg0JkI2I0hTV2mmGNQTIM1N0nz86USYZ8M7G94ca3vym5HSNzeHy+UdCAaBSkKNjtU/f\nnDbQ653QUZggCC4zf9sbWXuONZsE0Q8CrApaU4j8cFSt0Whnz549a9asPhfftGnTb7/9xjcwAgCq\nw8IqIQzKyQGCgV0Ywiat9svMTIRQeHj4ggUL5syZM6B3cfjwYYvFwr0K19g4Y8YM7ke3vZH1e24r\nv2tHEHBsQuCXT07ucS0AAABWp+++93LKG/1VcEEa6cLZcQ8uSO79id1yw6tHsor8ckIgmBqjXb10\n7CUZQocYoTtof034hwOioogMdyQkgsgfo9AMHhGtuf2S2LhQlclGjYjWPDLwab4NJvcj63MPFLS1\ntHuEExhJAkYFKxdMi1h177iB3tdSFOX1+n2OJRKJnSJnP/nn0TMnqZCQDgTGceRhOXTJZLLx48ff\neuutfS7+3nvvZWVlCa1cuGaXWcnJzpMnz7heYixhmBCaDho1aunSpfHxA/YxO378uLuzNZIgCD54\neuKT/J+PNTs7vTIRhKlRmvcfGB8c0FsWhGHx9a8cya20MIJdsismhr2+JH2gJwYAuOud410S+yNj\ntR8/nNllao5wnBeLARBjlE5ERREZ7kjObAFhWUwS6MpJ4VNHBpME1AzcquulLwq3/F5b3eL0+YTl\nuyBQJZmQrHt9yZjMlN4mw/eE2WzmewwBAEYmdMXnTZVGmhLk+eWIMoC6seQhAABCKCEh4V//+lef\nK7/++usnT550CxrglUplenr68rFjq++9F3i9wuslBCDU4bgjLy99xQrtwOUEAFBfXy+s8uK2vNb+\nUL55XzVvSQAhSAhXrVw8JjO5j8/q+leOHDpt4j8ECQGnpAVtfryPsKZbXt9avOtoo93Nm9zAEVGa\n9Q9NOHsIGyn4m2FYLPwVDHNERREZ7tDCywGEfN2OTj1gJ8FdRxtf31pcWGOzOM/wB5OQKC5UeevF\nsS8MJGvSBafTyV+IG3F8ZXuajfaxgsRJgJwJY0qTYA73iMFguPvuu3vf4ne5XK+//nphYSHvhgIA\nCAgImDx58v1LlhwfO1ba3Hz28xHLqltaGpcvp1asCF6+fEDvor6+3mKx8N9qtdpx48Zt2V/71jcl\nzWb/OUTqFc/dOvKqKeHdreFn4ZvZ+04aXd4ODSAQTI8P+ORfEwcRM+zOalq/u7LV2ilpAMSHqt6+\nd+zUtG6qDJRSorN4GPhots7o0mvE+SgAiIoiIuLyMqzAl773rvWewBgvW5OzO6tJOC8LAIAgDA6Q\nThupf2PJmJSoc7Kn9Xg8nKJUsqOqmFQ3VnRe0wBCMD5EEcMcV1k75EQmk2VmZgpNhc/GaDS+/fbb\nZWVlfOgDIdTpdJdccsnChQt/mz49sLqaNxX2kKSPJFUUhThVY1lvZWXLq696y8oiV6/u/7soKCjg\ngyEIYWho6Krtpau3l9UJ7JwNAbK7rogXToXploc+OLk7u4kfF48gTI5Uv7N0XOzAu0NqjK6nP8uv\nNbr4TcWwIPnjN4yYk9m91VigWiLoisWlDXbRzZ5DVBSR4Y7ZQfEaQECoVQ74n6Kg2nb/2pycMrNw\nXhaEQCUjU2M0y69OWiSoERo0nKLk0VNbcLQX+7sUZRI0Jj7wlkw6a08xXwrGMIxEIqmqquopz1Fb\nW/vuu+9WVlbyzloQQoPBcM0118ybN2/TrbcmnjxJ8g7ECNUYDKVXXnlNXh6bn89yBQIY0y0t5k2b\nfLW1MV9+ifox0BcAUFZWxsdDLJL/0jiiorC4zebl5USrlMyfFvHCbX20nrz2ddHWP+v9u2QAxIYq\nX140ekb6gCdoMSxe9FZ2UZ2dD/gC1dIbZkTfc2VCT08xBMoQBFw9msfH1BkHNkz6PEZszBEZ7rRY\nvAIzeRjaqwXh2Xz+a/X1rxw+XNjGywkEgCRgfJjqrivij66+5G+REwDAsVLrPuuFjWycUE5UcnJG\numH/mzMTgyje5R4AQNP0n3/+WVlZ2d1KoLy8/O233+4iJxEREXfeeefMmTP//eyzIT//rOqMJDAA\n7Wp17R13PP7++2n79qlnzya0nT2eGDMWi23PnoqLLnIePtyfd8EPLTZjw1HfJScbJK1Wv5yo5eTl\nmWEb+mo9+XJ/7Yc/VhrN/sq3yGDFUzelXXdhVH/OoQu3rMw6VuK3ypdLiZljDO8u6820LTRQxhsY\nMwxuNouK0oEYo4gMd5rbPbhTURQyYkCzLh7/OG/L/tpmQUEXhFCvkUxJ07+8aPTfuBPy7MaCT382\nt9F63tYXAKBRoCsmhW99egoAICIiIiAgQFhezLKscOA8T3Fx8bp162pra4XNklFRUUuXLlWpVC++\n+OKI7duDbTb+Zdxyuf2qqx597TUAAJBK43ftql+61Pr997TRyB2APR738eN1ixYFP/hg8AMP8C9U\nWFjY0NAQEBCQlJTEG8bY7XYAgIkNPc1MsuNAfgwiAECrlFw2IXTbM1N6/yiOl5lf/rKwvs3lbz3R\nye+7Kmlw4+If/zhv30m/tzGBYEZi4JYn+kjsRwUr+DZ5hsXVLa5eDx9GiIoiMtwxWrz8tUkhI8Ym\n9EsG7G769jey/sxvtTj8SXiSQAnhqgfmJy2/OulvOTcfza7eUfb1H3WlDXa7iwECOVFLfFeOC/76\n6Y7r77hx4yZNmvTXX39xFcBKpXLChAlnb3mVlZWdLSfx8fErVqwwm82rVq2i8/OTW1oknbELQxDM\nuHHXfPGFcJGoDz+UxsebPvyQqq0FLAsAwAzjrahoee01T3Fx1Lp1AID169cXFhaaTKagoKDLL798\n1qxZKpUKY0xRlAurCpmJduw3vUcQhgfJ50+LXHN/H3bODjf9wLqTQoOWII305otinrqpGyf8Ptmy\nv/ar32uFBWYpUZr3HxyvkvcxjyslSq2QQG7oFotBfZsYo3QgKorIsOZ4aTtvlg4hCNbKzh7EezY/\nH2t67vPTp2tsQgctlZyYkBy0bvn40XGDNP4S4vWxL31xeldWU02Ly+6mhT10ELAq5JgSan3sKn8b\nPEEQixYtSkhIKCkpoSgqJiZmypQpkZGRwjXr6+u7yAlJkklJSY8++mhFRcWmTZsaGxtvKSkRztEC\nkZGTv//+7NMLeeIJeWpq8wsveIqKOItiLq1i2bLFVlW1ZezY8spKzlrYZrPl5eWNHz9epVLRNE3T\nzCl6mh3oeDmRkCg1WvPEDan98d+84z/HTlV0tJ5AAJRy8tLxoavu7WqD3x+qW5yvby1uNPmjumiD\n8sWFo8b145YiM1mnkELg5N43brN6zQ5KpxbLvURFERne7M5utrn8LXW9DE/keWlL4ad7quoEXvEQ\nAH2AbE5m2ObHJ/0tZ/XBjxUbfq4qa7A7PXSXdmwSUDpkGiXJmWDoWoYkk8lmz549e/bsbte0WCyr\nV6+urq4WyklKSsqTTz557Nixbdu2GY3GlJaW6PZ2xO/gabVRS5dKehitqJ0/Xz5uXP3dd7uyshiu\nNRJjxmr17t07PienePx4QBAAAAihVCqVyWQAAIZh9reNtuBgFnfIiVSCJqbodrwwvfc2Ro5nNxb8\nkdfq9XUOlSHRpBFBXz3Vxy5ZT9y3JqekzsZvVxoCZHfNSbi+f5kYpYwIUMAGc8e3drfvdI3tglHB\nvT5pWCBm5kWGNbmVVr49TSEjpqR1P+qcw+7y3fDKkTU7ymuMfjlBCMaEqh5ckPy3yElxnX3uc3+9\nsOn0qQqzw32GnJAIqJEjjiieTP6qheaBOn+8/fbb5eXlfCqek5Nnn3324MGDX3/9NefldWlJiYo3\nXEFIOXp0yFNP9bKmNDY2Ye/ewFtuIUND+cYXkmHi29quz8mBAEAIw8PDU1NTuTzKIx+frnfrGf9I\nLjwmPuDnV2f0R06+3F+78ddqU2dVGEIwLVrz+WODaT0BADz3+emjRX73MIWMuHR86HO3DmDmjV7N\nOy0At5cta3D0evhwQYxRRIY1rVYv34yikBLzp0b2dGR5o2PxqmPHS8xuwU6XTEKMjNW8vGj03El9\n9OL1hzU7y9b9UFHR5KCZM9RCJkERekVCEE3W7ZN4G7kHB6Qo7777bnFxMV8MRhBEQkLCU089tX//\n/h07dnAm+RNqa3VOJ399JjQaff/8H6M++KAGQvzFF2q7nXs6wTBhNltyW5tjzJg5c+bMnTsXAPDo\nhtxtBxq8LN83ijWE44mrkvrjSvDLieYXNp9uNPGNLCBSr3hp4ahow2AGkxwtMm3ZX8NPPCMQHJsQ\nuPHRiQNaxKAhEKJZBgMAKJqpbxOT8wCIiiIyzHF7BfIgRYYepihWNDlueyM7p8x/VwshDFSRF4w2\nfPbIYMZvdIFh8ZJVx/ccazJaKaFUyCQoyqCcPS7kketS2moLVq+2Ojv7yvloo0++//77EydO8F0g\nEEKVShUVFbVhw4aCgoL29nbu8QirlU/IAwjJ0FDdLbf0ubjP51u7du1JhyNyxIh5+fnqzleRsGxS\nePiljz2WlJQEAFi+Nmfbgfo2q78rXgFcIyQFErcegO7HBvPsOdb88PpTlc1OYTZ+0aVx86f1KP+9\n8/jHebVGvwBEG5QrF6dLBtjZGqiCBAI0AwAADINNVqqvZwwLREURGdZQNAMh5C7iEgIxTDflthan\n7/Y3sk+UtfOhA4IgMlhxy8Uxry8ejB1hF07X2O5bk3O8tN0lkDcCwbAg+eyMkDfvGhMSKAcAeM0a\nkuz4h8UYC7tPeqGhoWHfvn38RHcIIYTQ6XT+8ccfEEKhLDl1Ora5GXm9AACkVgded12fi+fm5m7e\nvLm6utrr9ZrDwoLt9kk1NWqvl0WITk2985VX5ElJLMa3rMzae6JF6Ewjh+5YVBIOKurrE3t/ie/+\nanjq07yKJicryMZfNj705UV9tED2xF3vHD9Z4beV1Kmlt1wUM2vMgPsi9SpEIujtGKsDWm3ePp8y\nHBAVRWRYw7B+K3KEoFLe9T/iVIXlnndP5FZaeDkhEEyJ0rxyx+hrpw/yHlnI+7sqVn9fWtHkFE7K\nUsvJMQmBLy8adfG4EP7BwMBAhPz30ULXyF7Ys2dPU1MT/x4x7t56Xa1WK+fONYwe7di/H5Ckavr0\nsFde6X3lrVu3/vrrr62trXyq/8+kJJdanUpRCaNGZS5bJh85srjOtuy9nGOlZt5RGEIgg95IWJlE\nFGAMzWZzz68A1uwsX/VdSY3Rb9AilxIz0oO/6MvfvifW/lD+49FG/mRIAk4coXv1ztGDWEqvQRKi\nY4+QxVhYRD6cERVFZPiCMaAZzMUoEAASwS6mXsdK25euzhE6pZMESo/Tfv30lHM06QIAsCxe8s7x\nPceaWyx+j3oIQZhOMX9qxAcPdt0LUqlUvKJgjPu562U0GvvUHm7M+70rVvjq6z35+VAqVV14YS8O\n7SzLrlq16tSpU1arlX8QQhio02lmz15w//0SiQQA8OkvVf/5prSs0UELIr9gDRnKlMX5TnDfcg2P\n3fLMxoKNv1Q1mb1COZk+OvjbZ6eiQaXjj5Wa1+wo59uPIARJEepV9/bRAdMTQSpEdioKxsDqFBUF\nAFFRRIYzDAY+puOeHQMgPXOmVnWLa+nqE7mVVl5OCARHx2m/eHLyuctJVbPzrneOZxW3OwVWYCQB\nkyI0j98w4s7L4s5+CkEQBOHvvOunomi1WoIghAdzCsoCwoL1CLAGpXfixPErVqwAAEiioiRRfZTP\n1tfXr127try8XGhXTJJkRETEggULLr30UgCAxUEtX3dyX06LMC0EIYgxKBddEl61/3suMsEYCy30\nhdy3Jue7vxqMFn+ziFJGzEg3fP/CNLm0j/bDbvH62AfX5VQ0OfgALTRQ/tCC5FGxg2we0quRhIS8\nA7Hw9zicERVFZPhistM+/yBxILxUmWzULa8fza+28XIiIVB6fMCa+zNGxpxrA+NfBW0Pvn+yoMbm\nExjpq+VkZopu3fLxI3u4xslkMqE1fbcOK2czceLEyspKzsILIcTlThrZuHo2yYvlMsIXFIIW33tX\nP8/8wIEDX3/9dWNjo1CiVCpVWlra/fffHxwcDAB4b0fZhp+ryhsdwvZPbqvwmZtTA90FhQIVcblc\nPp+Pi2l4bl6Zted4k3AfKUAlmZ0R+vXTk/lZAwPlltezTgliTY2CvHpqxNJ5fWRxeiFAASUE5PXJ\nQzE0g/moZdgiKorI8KXFSguv6UpZh6K0WLz/99LhE2Vmn2COU0ZS4FdPTUkIH4DrV7d8trd65dfF\nFU0OoYV+qE5+1eSIDx+agHq+IslkMmEehWXZ/hQQT5o0SS6XHzlyxGq1tre3V1VV5dqT69gkN1Zi\nACANLXJDUa1tej+683bs2LFr167W1lZB2NEx03fx4sUAgEaT+761Jw+dbjMJvIQBAEo5OSFJt+6B\njJbyY1t37BAGNx6Pp6KiIjW1w0PFTTHXvXzkQF6rQ5B30WtlC6ZF9Gkf2Qv/Wp+7/1SLh+r8bZJo\nUmrQ+ocmDHpBDqng8un1sW6KGcR8tvOM4f7+RYYzJjsjiFFggEoCACitty9661hOuZnvfCQJND45\ncMe/p4cN0Jb4bB79KPerP2qbTB7+eksgmBihfvz6EUvm9G10KNz1whj3Pk2LZ8yYMWPGjAEArFy5\nMss+pomJoUDnG4HQ4aa7K3DryldffbVnzx6+1Jg7mYiIiOuvv/6iiy4CAHxzsP7VL4uKam3CgYac\nWM6ZEPbRisyso4f4Vkr+AK/XW1VVxSlKs9lz02tHs4rb+eCGyyrdcVnsa3cOvqZu497qbQfq+IgH\nQpAarfnoocHrEwCg1uj65pjH6vK/U5rBXp+oKKKiiAxjTHaaov0FwUEaaW6lZfGq43lnVnaNjtV+\n9sjEc5eT29/I+ulYM+9LCACQkmhcYuBHKzLHJgT0ZwVhjNJT1VZPeH3M57mGRlbpAx1bTBACjYKc\nmqZPje7De2bv3r179+4Vygk3hX7ZsmWxsbEAgJe3FH78c1V9m5sVnJJCSqRGa5fPT1x8efyvv/66\ndevWLnICAPD5fHV1dQCAI0WmB9adzK/yWxhACKMNigfmJz163QgwWIpq7W9+U+JvjQQg2qB8aeGo\nc4k1X/uq6Kvfa6tb3C6/xSigGdbs8AWfc2fSUEdUFJHhS5PFv+uFIJSSaNFbx/KrrPxlkUBwVJz2\ngwfHp51z7uT6V478crzZ4fbnb1VyYvoow5YnJvXHg6TjJAWKwjBMP1tSAADVLa5Fb2VX2gJ8guu5\nSgovyQh54faRhl5PwOPx/PHHH21tbfwjMpksIyPjySef5GKme1ef2HG4wWjx72UhCCL0iismhr+z\ndKxKTm7fvn3Xrl3CFXhYljWbzV/ur335y8LSBjufG0IQJEaonr911G2X9G0f2RMYgPvX5pQ12HkV\nCw6U3XtlwoLBtkbWtbruX5tzuNDUbqO6iLmPxo1t7uSIvn3hzm9ERREZvhhtNJ+qlUrQXwVtJfX+\nQX4IwTHxAR+tyMxM0Z3Lq2AAbn7t6B6BnHAmx3MnhX82QOcPqVTK92P2UijVhRNl5qXvncitsPgE\n1WFqCX3NpOBNz07r8+kNDQ3CyfAAAI1Gc/PNNxME4aaYm1ce/f2UkXfbBADIpcTouICXFo66YmIY\nAGDjxo379+8XriCVSjHGfE3znxWS4sKCmha/VRqBYFqM9s270q+YeE7eNre/kZVd4u9LVcrJORPC\nnr55AOZdQj77pWrV9rLSBjvl62aX0EuzVc3OmQPvlDzPEBVFZPhidbFC/Wi1eoVthpF6xcZHJ47p\n37iUXvj6j7qjRSahnEToFUvnJj57y4AvbSqVf6/G5/OZTKY+n5JTbl6y6nhBtb8GGkIQrMK3zQx7\n874L+/migYGB3N4UR2RkJMa4oslx53+OHSs1C2u6gjTSS8aFbHp8Elc4t3r16uzsbLvdzm92KRSK\ntLS06upqbg+tlk6sagyx0/4B79xO4PsPjJ+QfE5C/uQn+XuON/NFvQSCE5ICByrhPMvW5PxwpLGp\n3S3ctJOQkGY6TpzysUV1tnM54fMDUVFEhi8Oj6C8FUJh6SdJwCVz4s9dTgAATSa3STDTKUKveGnh\nqMWXD2bgYFBQEB+j+Hy+ioqK3o8vqLbddaacEAQcEaV5ZdHoa/rd8B8WFjZt2jSbzdbY2Mh5CWdk\nZJxuIZ/bfLio1i4svw7TKW6eFf32vWO503vjjTfy8vKEgZRKpcrMzFyxYsWyZcsAAHVMYhk71sXI\nOps6gEpOTk3Tb3p8YnhQv6bW98R7O8o2/1bTbvNPoU+KUK+5P4PopZauB+paXUtWHc8qbre5/NXM\nBIJBKhipl5a30Ny9go9mC6pFRREVRWQYw7D8pQzIJOjCdMPP2U0uL6OSkxemB984M/pveZWkCPXI\nGG1OuRkAEBeqeuia5MHJCQAgKSnp8OHD3DWaYRhh3HA2Xh+77L0T+QI5kZBobHzAp49MTI/vVyEA\nz7x582JiYoqKirxeb2JiYnZz0NqPTle3uPgCaARhbKjywQVJK65JAQDU1tauXbu2oqKCovxlCAEB\nARdccMHSpUsBAFKptIIZWcWkeYA/6uKmAn/z7NQBndvZfHuw/p3tZU0mN98bH6lXPHFjaj+ncwrZ\n9mfdK18VldTZqTOrzEfFaq8dQ8dF6B77spVTFBbjyiaH2JIiKorI8AVB/5RzFuNH/i8lIzGw1uhK\nilQ/OD/577o0zJsS0WrzZhWZWAxmZ4TeNGvwQjV16tTvv/+ev+s3m81NTU3h4d0nG2549ciJMjOf\nRZCSKDNFt/2F6aE9+Cv3Dl+CfP/anO1/lbdYPPz+D0mgEVGa15eMnjc5AgDw22+/ffvtt01NTcIu\nSL1ef9lll93SaWb8lym1kg30Av+ZqBXknIlhW58e5PgsnkOn2577vKDG6OR/s8EBssWXx3drQ9A7\nT32av2V/bYOggA1CaAiQXj4h7MMHxh45/JdeLwsJlPEjgdvt1J7jzfMm/w1zDYYuoqKIDF80cgQh\n4C4XHootqbM/eeNgxpX3DoJgyeXxt18SKx2gX/rZ6PX6sLCwtrY2rmHe4/EcOnTouu5Mgu9598Qf\nuUZ+lAtJwHGJgd88O3VwcsLhoZibVmb9kWsUeljJJGh8km7Dw5mcnclHH3106NAhs9ks7IIMDQ29\n9tprr7jiCgBAZbNz2Xsniq0GCvt7a1QyNCfzb5ATs8P38Ppc4RT6AJVk/tTIFxcO2Kj47neO7zjS\nKLTfJxCMD1M9sCD5wflJfFlBWow2r8rGdfTY3XRupUVUFBGRYUpMsCS7AnEbGk4P/cPRxttnx/6X\nXuvc5YQjPT29pKSEazv3+XzFxcVnH/PUp/nfH27g66+4nr6vnpoSoR98cqK+zX3bG1nC9kMAgFZJ\nXjja8OVTk7VKicfjefvtt/Py8rjx8hwEQURHR992222TJ08GAGz+reb1rcWl9Xaa5eUESxF9UXrI\nuW92YQBufPWI0NZTKSMvyQjdsGLAvfGL3sr+4Wij0AZGISXGJASsunfctJF64ZExIUoCwY4pKSwW\n/SJFRREZvswYqf6t0Nti9gAAGBafqrC4vAzvxXLulDc6TpZbTtfY6lpdZgfl9jIIggCVJCZUlRat\n1WkkPpr1UqzXx7ooxuakbC663U4ZLd52m9fhYXwMCzBACEoIKCGRlEQkiQATXE1PUzL1kahKApnW\n1tYuL/ra18Ub91bzN9cQgvhQ1Wt3pp9LT9+h020PvH+yoNomtBgICZAumBb5YaeXyerVq0+cOCH0\nOZbL5cnJyffdd19UVBQA4OEPT31zsL7J5PFvIgEghZ7/1959BsZRnXsDf86Une2rumpWl6tcsI1t\nDARCAg5Ogml5yU1IIQkQXww47U1uIAFCCnnfhB4C5EKoIeQmdEicYEIoBlNs2dhyVbEkq+5qpe07\n9dwPsxqNi6rHlsZ5fh8SF+3s0WqYv8+cM89TKfTee9XYm5jHdPkv33tnV7+xtdfBMSvm5E0iqL5w\n23t/fb/LlMck3+f45OLg779z6pHNDhJpxVhMYgnxu3n494aJgv59La91zShw9Q0tCXRHMjc+suPO\ntZMsbw4AB3qTH+yNvLu7f09HvCOUHkhIyYySkVRZ0R9w16umUI5lBJ7hWEa/tmoa1aj+v1TVqEaB\n0qN0/SUAQIAAAZjB0mCXVl3LNgaTyYGBgdzc7EbbO5/d99sXm3qHSvYSAsW5zu9cOuuC00pHNmAM\nAAAgAElEQVQn/U099uqBn/9xt9HzSj9sZdB9/UUzv33JTP1PNm/evHv3biNOCCF+v3/p0qXr169n\nGGZr08D3frd9y/5B83YpAtRNEpXMniW+bqfzy5MeHgBEk/JXfvX+v7aHzHuF51cH/nTjaRPd23Xp\nre+8urU3btrqXZwrfP1T1T+74ug9VA6GUurQD0pwsJXByXQpPplgoqB/a+csKtzVFtPXG1Ki8sK7\nXVeurq6vHHsrlKbB7o7Y+3siuztibb3JnoFMf0yKJuVERk2LqqSoR6uQkv0zSdHMe4fGSa+5T4EC\nEA2ECC3SVK40vaO/v19PlMdePXDXc/s7+4d36xYEhCtWVa9bUzfR9zLc+MiOxza2dfWnTevwZPYM\n3y+/sdC8YBAOh803u1wu1+rVqy+//HJJ0b73QMPL73V3hA4pH8YS1U8i89gPc0lIFF3RaLS4uHhy\nI3x4Q+u9L+zf0xEX5eHyBzUlnl9ftXD0WgCHUTV64c2b/vVRyNwcrCzf9a1LZn330lkjvaorkjGC\n1skz9VUT20R38sFEQf/W1n6m9uX3uvd0xAGAUugIpa+6a8vr///jwqG9UlKiuvNAdE9HfN/B+L7O\neEcoHYmJsZSSltSUqGrZicUEqmwdOwokSnP3JMszmQwAPL6x7ZYnGg+GhuMk3+/4/Nnlv5hUg0IA\nSKSVr93+wWsNvQMJ83MYtNiTObfo4J63dux9m8DQVMr8rCUhxOFwNDc3f+1Hj29q9x0c0NLSIbUj\n/U7ilzsWkLcZogGALMs9PT2zZ0+meNcj/zhw13P7drXHTfMnMqPQdcMX5p6zKDj6a81EWVv3m61v\n7TwkTsoL3d/73KzrLpw50qs6+uWmroTxW6+Lm33MjXPszt6JYi5zZDsMw9h3/CzLchxnLoVrOxzH\ncRxXU+JZc1ppd6RFX1NVVG3LvoFl1268YlXVnHJfOCZtax74qCXaFckMJqSUqOptMMaZH4QQApRl\nGQfHODiGYYBSkBVNlDVFo/qkg5BsBWFCCEOAYxmeYwSO4TnCcwwB0CholKoqVSlVFC0jaclMtryl\nBmxI9G/YsOGO51pe3i6H48NP/Pvd/IUry+69ZvHoI+zs7AyHw5Ik6Y3rJUlKJpORSKShefB/dvh6\nky6FDp+iLCh5EJovvt36kdh6xKHMjYcHB2MPbRZCGslQWb9dl/1AgAZ4cY67syC+yfxah8Mx5od5\npN4B8Z3G8J4Oc5xAVZH7ugvrrjivakKHemdXeGvToHkvQ1WR56YvzRvpOJ3h9O/eSL+5Nz4QH7rR\nB1CW7/I4bfNfBMuy468LN342ThRVVaPRaDKZPB6fy3HFcVwqlRocHHS5XHpX1HF2T5oONE1zOp2J\nRCKZTAJAIpFwOBz2+hEwDKMoSjKZpJSmUqkb/k/lpsa+d/cM6D8ESdF2tkV/9OhOniOaRiWFyqo2\n/ukHwxCWIS4H43WyeT5HUY6jpthTU+yqKnLnenkA2NeZ3HswEYpJoqwRAixDeJY4OMbtZH1OLs/v\nKMpxVBW560rc+h4BSdEykhZNyrG0Kilqf0z++h1bUnL2Qi9S593/TIW0mEgdxrWbZ9RSYaAivv22\n214VBEEQBKfTqV+1JUlKpVLRaDQajcZisUwmoyiK3mqFUqqfhx1i6S5pQYK6KAzHiQPEQqZrMfcW\nUNBG/TSiNK9RXR7V8lTT5YUAcETyQ2QO3ZaXCMHQk/8AwPN8fn6+ucHwOIUimVTG3DOYmVXqWXdB\n1ec/VjTRo0UG4xkxmw0sQyqDrh9eVnPx8tzDjtMXFR99tfOtXZGW7lRo0LzrDdxOduUc/yS+ixOP\nYZhMJhOLxQTB+krJ9k6UXbt2SZJkr8sZAPA8Hw6H9VKs4yz2N60IgtDX16ePP5lMchxnrx8Bx3H9\n/f36+PXz57JFWnsPOTj0EAWlkJbUtDTGcfSlcpYAz4GDJQIHHoHkeUhJgMwqZhfOYAt9GkAGIAMA\nIIIqAgDUOqF29HUNCuke2NFz9L/0AQQEJS079AtpinpTqlcD80xCLoDuutQbW7YAAOgzIEKIucTk\nKJXwm9X5B9RZafCY5hbURdIzmKbZ7LYxPhGANnVmq1afpD5qejkDmpskypjWmexHYKwmDXG5XNu3\nbzeXLBsnUYEiXqkLkr4Y5LhJdSGz7hzVybRs2tQy0ktklSoqERWqalTgiNtB9NsEg1FtYbEaiRJZ\nhRm5zEWLtVIyfByNwlv7lLeb1JaQNpiiopJdzjJwLKktoKfkdW/aNMKPbToxrj+Tu9M4OhsnCsuy\ntbW1dXWTX3WcKvom/YaGBgCor6+HcfcMnyZYli0rK2toaAgEAnV1dYIg2Gv8AFBVVbVlyxZ9/AAw\nZw44/IO3v9jZ2ntIsUgzAqBPKRwccToYj5MNuNniHEdFoVBX7KwKClVBZzBwIjaP5ubs7E5kNweb\nswQAeCIFSddi7k3jkjeh1Z2dyopuWjncjwuAgOYjsTn89nKhh2WzG5mOnFLribU1vbSTlqZNsyUC\n4AAxn+muZz8QSAaOwDBMRUXFwoULD2sMPIqGlsR7+xN7O9O9UTmWYpIyJzioQsnBKPvD5ykBShjC\nEGAZYBmi3zaUVaqoVFapqma31YH+o2SJx8nmetniHJc3wH5mGXid7IqZXq+L7RyU4hm1pUfc05lq\n6RUjcSWePsqpQQCcArugwv3zyytqio61g86JYVx/JnezcXQ2ThSGYUpKSqqrJ1kiaWqlUqlIJOJ2\nuysqJt/+YQql0+ne3t5AIFBdXc1x9juLFEXp6urKyckxzp9vVkNNZem9LzRtb4n2x0RR1vQmiSxL\n3ALnd3N5Pkdl0F1d7Jk9w7dkZu7Car/AT81Nc5+3lRDxiKSgAqTLmLZ57AcTOpoeBiqwW6Qz+2mx\nTIev7CxRi53xi2f1zKuur61dEwwGKaWZTEaSJD1UjD6S7RF6zz8S3Wk5Q80buiDPJa0oCs31h2V5\nhiRJoiiKoijLsqIoqqpyHFdXV7dmzZpZs0bcTKXrCKVfeb/7X9v79nTE+wbFWEoRZdVYzSKE6NFp\nzMP0eRml1KiJMPK3DwSI/tCPg2d4jvnj2/0AoFEqyZqsapJCtSOSRF/6cjmY8kLP6mXFN10+L8dr\npydR0ul0JBIxV12ziv2uBQZCiKZp42yMOg1pmibLsn3Hb9zpsum3oKqq6XoEALBqafGqpcXv7Op/\nraG3qSuRzCg8x5TkuRbV5HxsfsGxd5i30GFXSYZAjqCsCIZqnaFMpti4ZOvfo7FMAvr6P8OwLMvz\nvNPpdLvdXq83TnNeairul5wyHZpbEPA62U8sKnrulrPG/PHe/3Lz3X/b39wlm/cHe53cstl591+/\nxLz9Sf+HSGdnZ0dHR3Nzc1FR0XnnnefLK9nVHt/VFtvXGe8bFDWNCjzDMiSeVvoGM+GYFI5KAwkp\nnpJTkqppR5l0mTcFZH8x9BmNOUOjFChQTaWKCmlp7Kk2IcTlYPJ8jkKPcubcwC1Xnp7ns1/fRnN/\nGmvZOFEQOh5On5d/WKWNaYgMFU0WeHZmmbeqyH3n2lPqSr0AkMlkotFof39/PB5PJpPJZDKdTmcy\nGf0KwvO82+3OyckpKiqqrq72er2bGsPX3tfQmYwqph1TwRzhsrPK7xlrqxgArL9/25/f7OgZEM1X\n+qIc4dPLS37/3cObkbhcrqqqqqqqqmQyuXnzZiLk3PZCaFPj3lBUzEiqPicAAIYhQIFS0CjVxtH7\nWJ+IENNq/5gf3ZhzlyPxHMn3CZVF7nMXF/3nZ6r2fPRefn5urtf6G0e2homCkI3levkH1y81R6DT\n6XQ6nUVFReN5+Vs7w9fcu3V3e8xYImAYUhl0X3NB7Xi6u3/xts0btvQOxIdvnrAMqS3xrltTe/1F\nIz7GYbjjlfA/G5MZ6YinQdXRLvb6NmuBZ9wCKzhYB8ccOosilFJV07euAQDoyyocS3iW4VjCsUSv\nViDJWkbSMpKaltS0pCoKVfUGbOSQN3LwTI7HUZLnXDYr77KzZ+iPuciyfJR6aggTBSFbGpqksCwp\nL5xk/ccdrdFr72swxwnHkjnl/lu/Wn/xWJ3YVY1eeus7/9zWZxQsAQCPkzt1Vu5da085pXbsTiTb\n2pX39qfS4nj3dDCECDzj9/DBHKGu1LtyXv7pc/MX1eZkS3BSY/YBlEJKVERZS4uqolKeI14X53Vy\neltJM0qhqSuxuz22qz3W3pfqG8zEU4qsagDEJbA+F5fvd1QXe85ZFDzGhpL/PjBRELIZ88IVpRO+\ne6Pr6k9fffeWXW3D/bgcHLN0Vu6T318x5opReyj15f/3/gd7I8bCAyGkwO9Ys7L0oW+fOs4B/PmD\ndCQxnEaEAMcyLEMYQvRlH5YhPMcIPONysAEPX1bgWlKXe/6y4jPrC8Y8uMCP62YUITCzzDuzzLtm\n5eTrniEzTBSEbIZjiZEiGqXm9fDxW3vP1q1Nh/TjOm1u/vM3n57rG+Na/PCG1tuf2dfUlRiuQwww\no8C17oLaH4y7u8yrDaH9PcbCDTgd7LwK32lzC8rynS6BS6QVRdV8bq4kz1VT4qkt8QaPoa0LOpEw\nURCyGZeDNRaWVZV2RzI1Jd4JHeGGR3Zsagwbhd85liybnffSrWf63aNdEGIp+Zp7t77W0Gdu4MgQ\nqC72/uiLc6+YSJPE+14+MJga3ghw6szct+44Z0LfApqeMFEQshm/hzf2Nckq7QhNrOzCa9v6nnq9\nfSCRXU5nGVJfGXjqv1aMHid/fvPgL/+0e1d7XJSHF9JZhswu9/3sq/MvPmOMdRezv2/p2XkgZkxQ\n8n3Clatt+VQZOhImCkI2k+vhjYUUSVb7Bo/yLPpIkhnlBw991BHKVqcnADMK3XeuPaVi5MYeGoXr\n7tv6/DtdPZG0+VE/l8Auqcu945uLls/Om9D4H3i5JRTN5hlDoL7K/9UJFnZE0xYmCkI2w5n2y1KA\n8bdayUjqBTe9vaM1ajwEnuNzfPmTFecsKhzpJfs7E2vv2fL+nkgiM7yKzhBSlOtctbTowfVLDyv7\nP6a9B+MNzcONe/N8jmsusF8hJTQSTBSEbCYjHnLfyXtEq9qj6o5k/uMXm9/b028kkINnzpiX/9Ov\njthA5blNnTc93rj3YFw2hZbAM3PK/d+9dNaXz62cxOAfeLlZb8MMAAwhdWXey86aMYnjoOkJEwUh\nm4mmZCNReJYpzhv7eZQHXmm+5/mm/Z1xY3MXw5D5lYEHh7rEH+nxjW0//cOulh5zM2BSGHCcvbDw\nweuXjrklbCTv7u4X5eyeY5eDXITbdk8umCgI2UzS9FAhx5Li3NF21n6wN3LLk7ve3xvpj0lGkRKG\nwJwZvtu+Pr80/+hp9NTr7bc80XigN2meDNWUeNetqV0/jofhR7KtebA7MrxPLNfDXr26atJHQ9MQ\nJgpCNpORhxfIGYb43EepehuOig/+teXvH/bu64z3x0TFVNeEZcjcCv+vrlq4aunRW7v/4Z/tP35s\npzlOnA52SV3Ob69bsqhm7IfhR7G7PRY39UkszeO9LrwEnVTwx4mQzSgqHSoUCQwB16HFRbY1D977\nQtPbO0Nd/ZmUeHj7SZeDXTIz967/POXUEcqKPPla202PHzI78Tq5jy8q/MuPVx579f6OcNq45cUQ\nUlFgpwrwaDwwURCyGXM5XkIIx2Y3fv32peYnNrYd6EtGYtKRnYwZhpTkOlctLbp33WLPCIv5T/7z\n8DjxOLlVS4ueuel0S0beH5OMB+UZQvO8tunKjsYJEwUh+zEVY8+23/3Og9uf/ldHz0D6yDJfLENy\nfY655b5vXTLrkpEfRXz01QM/eaKxrTdlHMDr4s5bbFmcAEA8JRvr/CxDAi5MlJMNJgpCNsMxxCg+\nrGkgy1pjW2xTY7g7csjD84SA08EGA8K8Sv+lZ874xvmjPZd+xzP77npuf2c4bcSJx8mdu7jo2Zst\nixMASJkqDRMCHufEnmVB0x8mCkI243ZyRsctRaPdAxmXgzU/MkIIBDx8RaH7vKVF3710dkneGP3P\nv//QR09sbOsdyBwyO1lS9OyxzU52Hoj1DmTKg65ZZdk2juZ7cQwBnrVl9080CkwUhGwm4OGM/iiy\norX1pi4+o+zM+QUHw+loSvY4uRkFrqtX16z9bC03jkv2Nfdu/fNbB/tjk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"text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('http://homepages.ulb.ac.be/~odebeir/data/b2.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Structuring elements can have any size and shape. Often the size of the structuring element will directly impact the process and also the processing time. \n", "\n", "The previous element is known as the 4-neighbors.\n", "\n", "Common structuring element are:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UTO8xanpkZ4klTYoU0Vp1nDMOehLre/dPZIz2bW2lMiC53P3hD+de/3pIZpkj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\n9Jx/9XzV2/9K6fnjlcOz9umiU64z2+U+44F17DHhetz1OeM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JruQ8fajw7NHi\n1On6fMmp1r2awyp1v1L36g5reIxz4FwgDAAQJP0TjChBhkYsncRNEreoQbGpk7hJ03E6MmCODZrb\nJuLbxxNDKZ0QTDGyDHK2DbfAtnc8Xqi40wv1hZJTd1jV9k8XG6cLjcWyF0S76xqOGUSjGLU2P2IG\nHR4wJoesiYw1mNSCT2M6sQyiUQwAOJiuQnHRoMT6YqTW8J89UjyVsyu2zwUgAEoQQkinKGHRbMqY\nzJobhmMq5kGhWD8osVYoFAoJUL5mhUKhkAAl1gqFQiEBSqwVCoVCApRYKxQKhQQosVYoFAoJUGKt\nUCgUEqDEWqFQKCRAibVCoVBIgBJrhUKhkAAl1gqFQiEBSqwVCoVCApRYKxQKhQT8fxEx7oXw24WW\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('http://homepages.ulb.ac.be/~odebeir/data/b3.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "the upper right is known as the 8-neighbors, we understand why...\n", "\n", "One also use bigger element, such as disk with a bigger radious such as:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from skimage.morphology import disk\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "from skimage.data import camera,lena\n", "plt.style.use('ggplot')\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Question:\n", "* what appens close to the borders ?" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9tbW1XV1dx44dK8sJOJ1bgqJANYMQQkyLjcUdMMyGYANwv6ZaL6XEHl7TTdI/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\nPB+NRvfv33/y5MlVXfD69euXLl1a2lALBoNdXV2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"text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('http://homepages.ulb.ac.be/~odebeir/data/b5.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because the neighboorhood is not defined when one pixel of $B$ is outside the image, only the innerpart of the image can by processed by a structuring element." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AhAzE5Zxqhbzzn6RkzbrWK4aaYV/uz370q0fW1/k+eGv1Z+9d5RLmHxvBGFuW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ioSfSRlq1cjrTDVu3mGUxmwGzmWVxO3/Ao7OD5Z7d3GcsOflUAynEACf+zzibwTxJADjEs3Fw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"text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('http://homepages.ulb.ac.be/~odebeir/data/b6.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Local processing\n", "A first local process we can do using a structring element is a weighted sum of the pixels value inside the neighborhood.\n", "\n", "We associate, with each element of the structuring element, a weight.\n", "\n", "This is also known as the convolution of the image with the structuring element." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LFpVmN5R4Su8aSvYH0+bFK722lp7Y0gbPPL/TPpuqNhdEfYX9i3ctznxk1+Gh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\nQ0MDOX3CZrO9WgpwzAIwiCE99NBDKpUKLXK5XK7W1taysrL58+d76vnz8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"text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('http://homepages.ulb.ac.be/~odebeir/data/conv1.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's have a look on a real example ... the cameraman, we apply the mean filter which is basically the sum of the pixels inside the structuring element, divided by the number of pixels of the structuring element." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " \n", "\n", "\n", " \n", "\n", "
\n", " \n", " BokehJS successfully loaded.\n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import bokeh.plotting as bk\n", "from helpers import bk_image,bk_image_hoover,bk_compare_image\n", "bk.output_notebook()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from skimage.morphology import disk\n", "from skimage.data import camera\n", "from skimage.filters.rank import mean\n", "\n", "g = camera()[-1:2:-1,::2]\n", "f = mean(g,disk(1))\n", "\n", "bk_compare_image(g,f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We observe that noise is smoothed and that small details can disappear. If we increase the radius of the structuring element we see how bigger borders are blurred." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = mean(g,disk(4))\n", "bk_compare_image(g,f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On can implement the convolution algorithm using embedded loops for a structuring element 3x3:\n", "\n", "\n", " I = [source image]\n", " F = [destination image]\n", " n = 9\n", " for x in 1:sizex-1:\n", " for y in 1:sizey-1:\n", " sum = 0\n", " for i in -1:+1:\n", " for j in -1:+1:\n", " sum += I[n+i,m+j]\n", " F[n,m] = sum/n\n", "\n", "\n", "as the structuring element increases in size, the number of loops is increasing fast..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Questions:\n", "\n", "* How the previous example returns a value for pixels close to the border ?\n", "* what should be the destination image type ?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fourier transform\n", "### recall\n", "Fourier analysis allows to play with a signal in the frequency domain. \n", "\n", "In 1D signal, the continuous Fourier transform of a function $f(x)$ is given by:\n", "\n", "$$F(u)= \\mathcal{F(f(x))} = \\int_{-\\infty}^\\infty f(x)\\ e^{- i \\, 2\\pi \\, ux}\\,dx,$$\n", "\n", "$$ e^{- i \\, 2\\pi \\, ux} = \\cos(2\\pi\\, ux) - i\\,\\sin(2\\pi\\, ux)$$ \n", "\n", "the $u$ variable is in the frequency domain,\n", "\n", "in general, the Fourier transform of a real signal is complex, \n", "\n", "$$ F(u) = |F(u)|\\, e^{\\,i \\, \\phi(u)}$$\n", "\n", "with an amplitude:\n", "\n", "$$ |F(u)| = \\big[R²(u) + I²(u)\\big]^{1/2} $$\n", "\n", "and a phase:\n", "\n", "$$ \\phi(u) = \\tan^{-1} \\big(\\frac{I(u)}{R(u)}\\big)$$\n", "\n", "the inverse Fourier transform is given by:\n", "\n", "$$f(x) = \\mathcal{F}^{-1}(F(u)) = \\int_{-\\infty}^\\infty F(u)\\ e^{ i \\, 2\\pi \\, ux}\\,du,$$\n", "\n", "the magnitude function $|F(u)|^2$ is called the Fourier spectrum or power spectrum of $f(x)$.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Power spectrum for several 1D step." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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pjL2F8NEesyCazWLf3NyMkJAQ82OtVtvrgrh06RLa29vx8ssvY926dfjss8/s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\nj6ysLFRUVMDb2xs//elPceedd0oae+X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sDjA3oMeP14j4eQUTIy8vz6/XiJnsabsEorKioiIcOnQIVqsVixcvRl5eHnJz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\n+33cUGFZU8FrPu53B0z+7m7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from numpy.fft import fft,fftshift,ifftshift\n", "import matplotlib.pyplot as plt\n", "import matplotlib.cm as cm\n", "\n", "def step_power(length):\n", " nsample = 100\n", " t = np.arange(nsample)\n", " x = t<=length\n", " fx = fftshift(fft(x))\n", " power = np.abs(fx)**2 \n", " angle = np.angle(fx)\n", " \n", " plt.figure()\n", " plt.subplot(1,2,1)\n", " plt.gca().set_ylim([0,1.2])\n", " plt.title('$f(x)$')\n", " plt.plot(x)\n", " plt.subplot(1,2,2)\n", " plt.plot(np.arange(-nsample/2,nsample/2),power);\n", " plt.title('$|F(u)|^2$')\n", " \n", "step_power(1)\n", "step_power(4)\n", "step_power(50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Power spectrum of a sine waves for various wave length, the peak position in the Fourier power spectrum corresponds to the sine frequency." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wmnQgBym9v8B5v1yg+g5sdoipaM+0s1VgUc7RRMoqxcBAUgyC1YFC52JtAtU3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\nMpIVK1Zw5MgR+vTpQ2Zmpl/O2WazMXP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85z+f/QADMSgtRysxMd2KShgaQAwPm3ufCUQkgmakHfMYtEov8Zi9IiWiEVxm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\nz5wYOBFANiMGkT5TmUSp9t+YbO+OTZs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ps4qggtMOZAcyUZW0xTFPScJ7yBHWDQt/kEGd5MJYelg0qOphdcq1HciaXdFc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\np57qxHQVSHMC+KPzxBbHW9Syx+55YutjcZBOUTJo5u4+1tG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def sine_power(freq):\n", " nsample = 100\n", " t = np.linspace(-np.pi,np.pi,nsample)\n", " x = np.sin(t*freq)\n", " fx = fftshift(fft(x))\n", " power = np.abs(fx)**2 \n", " angle = np.angle(fx)\n", " \n", " plt.figure()\n", " plt.subplot(1,2,1)\n", " plt.gca().set_ylim([-1.1,1.1])\n", " plt.title('$f(x)$')\n", " plt.plot(x)\n", " plt.subplot(1,2,2)\n", " plt.plot(np.arange(-nsample/2,nsample/2),power);\n", " plt.title('$|F(u)|^2$')\n", " \n", "sine_power(1)\n", "sine_power(4)\n", "sine_power(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Power spectrum of two differnt mixtures of three sine waves:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KC1lhyyBmzMAalqYar+0GkXsE4gUUQFacnFAG3DYANmkZoLqG3ETRGB8Dikvk\nC8CqagBrf4jvn3s9gNcT/2UeI6OIj8buWJoysSyDoX7JYgQAZqoiN1G+Eda1lJSBcuSEMgi2DFjV\nLPCh/ixf0AxlLEqNASC+8DkPreZ1DAMV5vgD3PUG8GjfzkdcgFZByyAQwJbJIItobWGqpAByvkG9\niTJGjiiDAcAcsAwogByVGNXAjLFJF1uQInUkEC8AxNTRaOmlI25lA8gaDVBSJl+FHN70zlQVu1U3\nkXtQb6KMkRvKQK0BC3zjrTABY6PUmEyOMfngsURVTagySCR4DEjfzmUZcSkbQAbEWgdXpKuID/WD\nVQYpA0MFMDYiDvgh8gOyDDJGbiiDoIpVplKJ29SHJpIRd3Q3EQBWVRPiYuOO4cSKwKIoAy4I4n69\ngm4iIHrcwDoQYhkwlUpsrRGlXTeRg0jZRBRAVhpNti8gIYKChAAmRzHG6bFfgPBRN1gsy6C6BjgX\nNH7SHqcvUQC9YWoeQTBjI2LHUk1R8hebDDLKgAuCGEuqCvvbCBSeVc9KSaQgCNi2bRvMZjPuvfde\nuN1u7N27F4ODg7BYLGhpaYFWqwUAtLW1oaOjA2q1Gps2bcKSJUtSkk0EwUG9iTJETlgGzBQ2uUtf\nLo5OJEKJUmMQINwySNRNxHR6sedROC4HoI/R/jpNML1M4ZlzGCgti5jDkK7Cs1/+8peYM2eOtN3e\n3o7Fixdj3759aGhoQFtbGwCgt7cXR48eRWtrK7Zt24aDBw/SnN50IlkFpAyUJieUAfTlIZvMUAFO\nlkEko7HdRGLMYMq9xs+dBqu9IP55dVHcNE4HYCiP3J9uDDLyo01MS0NLCqvViuPHj2PdunXSvq6u\nLqxevRoAsGbNGhw7dkzav3LlSqjValgsFtTW1qKnpycl+UQQgQrkgGVAfckUIyeVQUKjGAuROJYB\nKmukRn/c6wH6eoG58+OfN1qdgdsRezBOutBXRLqJhgbkJ6aZzPLFdUnw4osv4vbbbw9JuXU4HDAa\nxdGgRqMRDodomdpsNlRVTVmuZrMZNhvFLNJGeG8iQjFyRBmEBShJGcgTxzJgJSXii91uA86cAmZd\nIPYeikeUzqXc5QTLiDIwRLEMLJFrDcaU/jbeeecdVFRUYN68eTHdPXFrM4j0QNlEGSMnAsgs3DIw\nlAOfkCkeDh8dgSre1LEqsYKb954Cm7cwsRNPjp7kgiBm7ARwZcYyYIZyCOFFbwPngIUNUdZOXxmc\nPHkSXV1mSs9TAAAgAElEQVRdOH78OLxeL8bGxvDd734XRqMRdrtd+reiQrxvs9mMoaEpS8RqtcJs\njgzKd3d3o7u7W9pubm6GwaBwFhaA4uJixeUoKcMBsUmdZrKqvqSoGKUK3k+uf17BHDp0SPq5oaEB\nDQ2Rz0swOaEMwi0Dpk/tgc9bonUsDYJdsgT8978R21As+mxCp2WaIqBUK1oHwS9/l0PMUFIauWyi\ngfNQXXtD5Npo8Y0EufXWW3HrrbcCAD744AO8+uqruPvuu/HSSy+hs7MTTU1N6OzsRGNjIwCgsbER\n+/fvx4YNG2Cz2dDX14f6+vqI88o9jC5XjKE9acJgMCguR0kZXBCtAt9k7YjHM44JBe8n1z+vYBnN\nzc1JHZMjykAuZkDZRBFEm2UQBLt+A4QH/zdQVALV5zcmfu4Kk1ixHK4MLlo0zYtNAn15ZCpx/znA\nMlt+bYxhONOlqakJra2t6OjoQHV1NVpaWgAAdXV1WLFiBVpaWqDRaLBlyxZyIaUTqc4gsE3ZREqR\nm8rAEBlQJACMjYrDf2LADBXivODfvgbUzk383BUmcSpa3UXSLu52QlWeiZhBqPLno25gYkI+LVYf\no8Nqklx66aW49FJxVoJer8f27dtl123cuBEbNyahWInE4QgbbkPKQClyQxkUl4RuUwBZnvH4ygAA\n2I1/A1TVyHc3jXZMhVmsWA7e6bRnpM4g0GSPuxxiwLr/PGCZJf8NvLgE4AD3eMSAOZHbBDqWUtGZ\n4uRENlHEQy898NSfKAAXBMDjAcKKsORgRjNU6/8qOQEBN1EwbmdmAsiMAbPnStXTfOAcmJyLKLA2\n1vwFIreQMokom0hpckIZhMMYky9EKmTGx4CSktBsn3RiNIXMnuaci59/uAtPIdicC8EDrTQGzgM1\n8soAAFmO+URAGQg0A1lpclIZAKAHPpzxUfkJZ+miwgwebBmMjoiDdIoU7ksUYPaFU/2RBqIEjwPo\nDYoEkYksMOkW4lLMgCwDpchtZUAtKaYYGwNKyxQ7PSsPtQzgsmem+jggf85c8LOTbqL+c2A1tdHX\nyvUyInKTwMtfoACy0uSsMmD6CnBKL51ibCSh4PG0qQhXBpmJF0jMngucOy26pwbOx7cMos1fIHKL\nwLvf75/cJmWgFDmrDChmEMb4qFgYphRGMYAstWhwOTIWLwAAVm4E1Brwjl8ARnNsRURWY/7ABUCt\nFi0DtZqUgYKkJbX0xIkTeOGFF8A5x9q1a9HU1BSx5vnnn8eJEydQUlKCu+66C/PmzUtNqN4AZKCC\nMxW4Yxi863dQrfv/lZc1NgamoGXASrUAU4m1DFoduNuRmb5EwcyeC/7K81Dd81Dswi6dgUaj5gHS\nFw/GRGXAVKQMFCRly0AQBDz33HN44IEH8OSTT+LIkSM4e/ZsyJrjx4+jv78f+/fvxx133IEf/OAH\nqYqd7GQ5s91E/MM/gv/7D+VnAaSbBGsMUiLYVTTYHzKBLhOwufOBy5aBXXxZ7IWUXJAfcC4qAqYC\nF/yAipSBkqSsDHp6elBbW4vq6mpoNBpcc801Uq/3AMeOHZN6wS9cuBCjo6Ow2+0pyWWGcnDXzFYG\n6P0E8PvBj7+tvKyxEWXdREBIrQHv/QQsqBo5E7Cb/xaqf/yX+Ov0BnDKJsp9JGXAgtxElE2kFCkr\nA5vNhsrKSmlbrp97ImuSRl8+44OE/OxpsKtXg//Pb5QXNjYGlCmXTQRMVSEDEBVd3TxF5UXILylJ\nbMQmWQb5ARemlIHfT24ihcndALIuB3LJez8Bu+mLwOmeqZeoUigdQAYky4C7naK88NnUMwVd7Gwi\n7nKA//lkBi+ImBYcoZYBuYkUJeUAcng/d5vNFtHP3Ww2w2qdmksbrec7kHjfd2HWbLhGXIr1BU+1\n57jgcsDpGYdh4SUYuWQJintPobgufmO46cod9U1AbTKjJIVrjifbc9FC+D44gWLbIMbnzoehPD3Z\nROnu7841ajjczqjnnPj4fXhea4d+23cAJN/3ncgQfDJozFSUTZQBUlYG9fX16Ovrw+DgIEwmE44c\nOYJ77rknZE1jYyNee+01rFy5Eh999BF0Op00QjCcRPu+czBwtwtOp1ORlsGp9hznf+oG5syF2+2G\nYDBirO8cPAmcb7py/U4HVEwFbwrXHE82v/QKCD9+Fr5ZdUDtBWnryZ7u/u6cc8Dng9NmlZ3kJgz2\nA2VauFyuafV9JzIE5wADwCAGkMlNpCgpKwOVSoXNmzdj165d4Jzj+uuvR11dHQ4fPgzGGNavX48r\nr7wSx48fx913343S0lJs3bo15QtnmiJAUySlOs40xADrPHFDrslbusmAm4gZKoAFF4Mf/hnYX31Z\nUVmpwBibqjUwV0UucLtEVxIxs+E8yDKgbCKlSUudweWXX459+/aF7LvhhtApVJs3b06HqFAClaZx\nlIHwf38CtuRqsAsXpP8aotH7CXDh5MSrChPQ86Gy8hKYZZAO2LJV4O//YUrRzVQCfxuyyiBzDfaI\nFAjPJlKpKJtIQXI3gAwklDXC/3wS/NV/A3//Dxm6qEm5fWfBai8AILaM5opbBmOZUQZXXC0qtznz\nFJeVErH+NkZcpAxygfBsIpVqaq4BkXZyY7hNNOJ0p+SCAOGn3wcuvULqhZ8xXA6gfDIuEt7XRwky\nUWcAsRJZtfuFGT/akRkqxGE4Mr/jbidUenITzXiCsom4IAAqNaiHtXLktGXAdOXgsYaYfPIx4BmH\nauPfggfaH2cKlx0IjISsMGdAGWTGMgBkhg3NRGJZBm6yDHKC8GwiihkoSk4rg3jN6njfWbGFwey5\nwMB5cJ8vI5fFfT7AMz41X8BQDoy6FZPPBT/gTWzKWcEQUxk4RauSmNkEZRNJAWRyEylGbiuDeIVn\nk0NQWHEJYKoStzOB2wnoDNLUMaZSi72UnKm14IjK+LiyU85ykVidSylmkBtEZBORm0hJcvvtES+A\nPHAeCAxBCRqOojguR2SLZSXjBmMKTznLRaJYjdK4Th0pgxmPbDYRKQOlyHFlECeA3D81OJ3NuTBz\nQeSoykChjKLxUUWnnOUiUaedjY0CmuLMjeskpk9QNhGXsokotVQpcjqbiOnLIUSxDMSJWOemBqfP\nvhC867cZuS7uiuz1L6aXDstmt0Q9j20QzJxAm+gM1RjkFNGsxhFXzHjBxMQEduzYAZ/PB7/fj+XL\nl+OLX/wi3G439u7di8HBQVgsFrS0tECrFT/ztrY2dHR0QK1WY9OmTViyZIlSd1VYRPQmUoOTm0gx\nctsyiNWQzGUH1BqwyUpTNvsC4NyZzFyXXFFTkpYBdzkg3LcF/Myp+Isz0aQu1zBUyMcM4hScFRUV\nYceOHXj88cexe/dunDhxAj09PWhvb8fixYuxb98+NDQ0oK2tDQDQ29uLo0ePorW1Fdu2bcPBgwen\nhrIQqSFlE5GbKBPktjKIFTPoPw9YgoamV5hE900mcDqm0kqD5ScTM/jkY9E8/tW/x13Kx0YVb1+d\nc+gNgNsZ+WJ2x7YMAKCkpASAaCX4J2fvdnV1STM51qxZI83s6OrqwsqVK6FWq2GxWFBbW4uenp40\n30yBImUTMcomygA5rgzEmIHcNzE+cA6sJmhoulYHjI+KvkelcTvE7KEgQmYBJAA/9RHY6v8F/uEJ\n8HhZUKMjYFr9dK40b2FFxWLvqvGxkP3c7QSLEzwWBAHf/OY3cccdd+Cyyy5DfX09HA6H1FzRaDTC\n4RC/WNhsNlRVTbW8SMusDkIkJJuIis6UJqeVASsuAVRMzOkPp19MK5XWqtRixk0GRlDKxQxQYQLs\nSbiJPukBu/gysGvWg7/1RuzFoyMzsllf1tEbIq3BEaeYaRQDlUqFxx9/HAcOHEBPTw/OnIl0L+ZE\n4V2uE5RNRGMvlSenA8gApiaehWXT8IFzYFesiFzrdkZm+qQblyPyhWOoSHj6FudcdBP97Z1iMdm7\nx2IfMOqm1FI5Ap95sLvQlXjHUq1Wi0svvRQnTpyA0WiE3W6X/q2oEP+Gwud5RJvVkeicjnST7lkR\nmZThH3FiRKUG1GqoBA5WVgxwDr2C95PLn1c4yc7pyA9l4HJETt0a7AcLfglIa51A2O6043IChrB5\nDTp94laJbVD8FmSqBKueBWGoP/b60ZGMD6fPCeRiSiPOmE32nE4nNBoNtFotvF4v3nvvPdx8881Y\nunQpOjs70dTUhM7OTjQ2NgIQZ3Xs378fGzZsgM1mQ19fH+rr6yPOm+icjnST7lkRmZTB3W4I4ADn\nYH4f/AIH/D5F7yeXP69wGcnO6ch9ZVBhlne/WAciFUSmZuPKWQZlOsAzDu7zgWnifOynPgLmLQRj\nDLyqBoirDMgykIPpy8FdzpB0Xu52gsXIJrLb7fje974HQRDAOcfKlStx5ZVXYtGiRWhtbUVHRweq\nq6vR0tICAKirq8OKFSvQ0tICjUaDLVu2kAspXchlE/mozkApcl4ZMHMV+LA19IEfGwV8ExHuIGYQ\nC5GUfFTFvkRjQFhAlzEm7ht1T3UzjXaOT/8CNndy9kK5EfCMgY+PgUUpLOOjbqh0FECOQE75u11g\nMbKJ5s6di+985zuRp9LrsX37dtljNm7ciI0bN6Z0qYQMIdlEAphKBU7ZRIqR0wFkAGLPoeGh0H1D\n/UClJfIb2mS6oaK4nYBWL98nSB+jLiKYYatk1TDGgMo41sHoSITyISDfksIxHFcZEzMEKZsoEECm\nbCIlyQNlUCmvDKpqItfGal6WLtyO6C+bWEVyQXCHDazCNLUjnqto1E3ZRHIE4kmTcM7FeAzFV3KD\nQOZQcJ0BZRMpRs4rA2YS3UTBcGs/WHi8AMhMzMAVo8I1XpfVAHYbYJzKSGFVNeBDfdHXk2UgCzNV\nhv5tuJ2ApgiMqrVzAz4ZJwieZ0C9iRQj55WBvGUwIGsZRG1elk5i9L5hOj34SAIZRY5hMTAeoHqW\neE8ycM7FKWdkGURSNQsIVqLWAbIKconw3kRqdbavKK/JfWVgrASGrSFVyHyoHyyam0hhZcBH3FI/\npAh05WJqY6zjvR7AOx6iUETLIIqbyDMu9mDSUBfOCKosgG1Q9DcDgHUwMsOMmLlwAUDQDGSmmtxH\nKEHOKwNWWgYUFYX64mPFDDJhGUTL7NHpgTiWgWC3AeWm0OB3VQ0wGMVNNOomF1EUWFGxWO8x6Sri\n1gF59yExM+Fc7DAgzUCm3kRKkvPKAMBkRtHkA8/5pJsoSzGDEXf0CtcEson4sDUkXgBAVAbWAflu\nmBQ8jk11jTjkCBCDx4m0BCdmBkHZRFLMgLKJFCNPlEFQ3MDtAtQq+cZtZVpgYgJ8YkK5axlxRf+m\nnkAAWRi2in2MgmBlWkCtkT+WgscxYVWzJBcbWQY5BmUTZZS8UAYhGUVDffIuIkzm7OsNcf32qRAr\nZsB0evA4LSm43QpWEdnbBqZKwG6N3E+WQWyqZ0252CiAnFtwPplNxKZmIJMyUIy8UAZiEFm0DPhf\nPgK7MLI3jITSrqLRGI3QdPFlC3JuIkDcJ6MMOLWvjk31rKkaDdsQBZBzCalrqYqG22SA/FAGpkrx\nQQeAj7uB+kujr1W68GzEnVoAWcZNBADMWBlRTwFAtAyoFUVUWFUN+GAf+PgYMOGNOeWMmGHQDOSM\nkhfKgFlqwc+eBuccvOcDsEUxWrXqDeCJFH4FwQU/+In/ETMa4jESwzJIMIDM5CyDqG6iEWpSF4vq\nyVoDqxg8piZyOYTMDGRCOfJCGWDhpeKIw2O/Ff9gYrgCmC65mAF3OSHsfQjC9x4G+s/GPyCWZVBS\nBvh8MQPYgt0aWnAWwFgp3511dATQkTKIiqECmPCB//rfRcVA5A5BlsGUm4gsA6XIC2XAVGqw1TeC\n//T7YAsvjf3tr0wHjI0mfG7+5q/FlsdLloH3no691usRr6e4RP46GZt0FUW3DmRTSxHDTTTiBsrI\nTRQNxhjYFcsBQwVUf3tnti+HSIagSWfw0wxkpckLZQAA7LrPAeOjopUQC61ObN+QKIPngYsvA7vg\nIuDsJ7HXxrIKAugMUeMGfGJCbL8t52YyRQkgj42AkWUQE9XmFqiaN4OZq+IvJmYOwXUGnGYgK03+\nKANDBdjf3Q125crYC8t0omslQfjQAFhVDdicC8HPfhp7cax4QYBYbiqXHazCKN/+2hglZjBCFchE\nnhKcTQRQNpHC5Pxwm2BUK9bGX6RNThlIrS38lWmyDPTRC8+cdqjKIzOJAIhZMONj4F5PqBuKmtQR\n+UpwzACgbCKFyRvLIFGYVie6YhKA+3yAwya2MLDMBhw2cM949ANGXIA2tmXA9OXg0WIGLkfoHIPg\n41Qq+RGfbqdYv0AQ+UZwNhFA2UQKU3DKAGXaxGMGw0Ni0ziNBkytBmrmAOeiu4r4iAssnmUQNnAl\n5Hin6CaKSljhGfdNiFZGrGMIIleRswwom0gxClAZ6BN3E4V1P2Vz5oH3fhJ9/WiMJnUBDBXRq5Cd\nDqiiWAaATEbRsBWoMILRNyYiHwnOJgIom0hhCk8ZJJFNFDEXYc7cmJZBzPbVAWJVQDvtYNFiBoDY\nnTXYTTQ8RF04ifwlOJsIoK6lClN4yqBMO33LoHoWeJSJYwBit68OnMMQY9qayx7TMgif6sZtQ2Am\nSpck8pSIbCJqVKckhacMSkoB34QYHI5H+JAcU1XkiM0gEooZGCqmHTNgNbPBg6ugbYMA5c4T+YoU\nM5jcpmwiRcmr1NJEYIxNVSEbYmfh8KF+qJJQBolYBjG7proc8u2rA8yqA/qClMHwEFB7QWx5RFJY\nrVY89dRTcDgcYIxh3bp1uOmmm+B2u7F3714MDg7CYrGgpaUFWq0WANDW1oaOjg6o1Wps2rQJS5Ys\nyfJdzGz8Bx6F6iv3gJVqYy+czCZiTCU6h+Tqb6IgvPkaUKaD6qprU7nUgqLwLANgMm6QwGD6cMug\nwgiMuMUsHjncCcQMDDGUgdMOVXmMzKCqGsAxLLW94LYhqqpNM2q1Gn//93+PPXv24OGHH8Zrr72G\ns2fPor29HYsXL8a+ffvQ0NCAtrY2AEBvby+OHj2K1tZWbNu2DQcPHpSfSEdM8VE3MJKAqzYim0id\neDbR+V5g4Nz0r7EAKUxlkEAVMvf5xJd2kNuGqdTitlyPIABw2cWZu7EoKQP8PumFLskTBGDEBRZD\nGTC1WlQIgT9y2xBgogByOjEajZg3bx4AoLS0FHPmzIHVakVXVxdWr14NAFizZg2OHTsGAOjq6sLK\nlSuhVqthsVhQW1uLnp6ebF1+buD3A/4E3LRh2UQsmWwivy8xGYRESm6iWKZzMHfddRe0Wi0YY1Cr\n1Xj00UdTEZs6Zdq4zeq42wnoDJFpm4F5y2EdMLkgiMojjutJnLY2mV4anAk04gJKtWCaOP9LZs0R\nXUV1F1HMQGEGBgZw+vRpLFq0CA6HA0ajqKiNRiMcDjHuY7PZsGjRIukYs9kMm02muywxhd8nKoR4\nyKWWJppN5PcnJoOQSEkZBEznm2++Ge3t7Whra8Ntt90WsY4xhh07dkCvnyE9dBJoScGddtlBKOKI\nzSFE9EUddQMlZWCaovjyA+mlwcrA6QBiuYgC8mfVgff1Ap5xGtaiIOPj49izZw82bdqE0tLSiN/T\nXIQUSNAy4JyDMdX0sonIMkialJRBV1cXHnroIQCi6fzQQw/JKgPO+YzyozKtDnzUHflCD0JwOeS/\n5ZujBJFdDqC8IrELkIsbOIcTUgaYNQfoPjHpIqqil5IC+P1+PPnkk1i1ahWuuuoqAKI1YLfbpX8r\nKsT/12azGUNDU38PVqsVZnNkEkB3dze6u7ul7ebmZhgMcZIN0kBxcbHicpKRwTmHw++DtrQUmjjH\neEtKMFFUBBQVYQJAmU6HUSAhWSNqFVQqNcqSvPeZ9nmlwqFDh6SfGxoa0NAQY+gXUlQG0UzncBhj\n2LVrF1QqFdatW4f169enIjZ1EphpIFoGMi93UyUw0Be532lP7GWOyf5ELkeIMuIuB5ghvjJhs+og\nvPELsGFyESnFgQMHUFdXh5tuuknat3TpUnR2dqKpqQmdnZ1obGwEADQ2NmL//v3YsGEDbDYb+vr6\nUF8fOYNb7mF0uZKbuDcdDAaD4nKSkcEF0XUz6nKCxTlGGBsTrYhJy2DM4wEXhIRkCePjgFoDX5L3\nPtM+r1RkNDc3J3VMXGWwc+fOkJe8aLox3HLLLRFro31L3blzJ0wmE5xOJ3bu3Im6ujpcfPHFSV1o\nWimLX4XMnXYwGcuAmaoh/KlbZr1DrCFIBLmWFK7E3ERizKBXVAg0uSvtnDx5Er/97W8xd+5cfPOb\n3wRjDF/+8pfR1NSE1tZWdHR0oLq6Gi0tLQCAuro6rFixAi0tLdBoNNiyZQtZa7EI+PETCiBPvzcR\n9/vA/FSTkAxxlcH27duj/i6a6RyOySRW1ZaXl2PZsmXo6emJqgwyYU57TGb4B85BG+O83hE3iiur\nI8xMX91cjDltEdfk8Y7DX1kd85wBxiurwL3jIeceGx8Fq7LENyENBoxc1gj1RYtQ/LmbodKn77PJ\nlPk6U+QGCDenX375Zdl10Z6FjRs3YuPGjYpcW94RUAKJBHeF8ACyOolsogQzlgiJlNxE0UznYDwe\nDzjnKC0txfj4ON5991184QtfiHrOTJjTgkoDOOwxz6u2WzFhrokwM3lJGYShgYhjhcE+oFSXmAlb\nXAr0nwo5tzDQB9RfAq/XG/8cd3wTAoAJDiCNn00mzNeZJDcgO1lzmkiBZCwDUDZRJklJGUQznYeH\nh/Hss8/ivvvug8PhwO7du8EYg9/vx3XXXZf1Ck2m1UFIJJvowoWRvyifLDybmAArCsoccjmAC+Yn\nJl9fDiHMTcStA1AtX5PQ8QSRs0iWQQIuHKlR3TQmnZFlkDQpKQO9Xi9rOptMJtx3330AAIvFgt27\nd6ciJv0kMNOAu5yyAV2mUotzBYaHAEvt1HqnA6qEs4lk+hMN9QOVlsSOJ4hcxZeEZSAIYl8iqTdR\nMm4iHzhZBklRmBXIWh0wGjubSIhSZwBAfGlbw7qXJlJ9HCCsjTX3+ycnqlF2EJHnCAFlkOCLOtwy\nSMpNRJZBMhSmMijTiUViMeBOe9RqYlZdAz7UH7ozidRSVFYDtgGxahkQp5cZjIkVrBFELjOpBPh0\nsonUSUw68/uow2mSFKYy0Opjuom4IIjtKKJZBlU1wGBYrYEr8dRSVqoVJ64FRlgODZCLiCgMUskm\nYpRNpCSFqQzKtMD4uFQAE8HYCFBSGv2belWN6OOfhHs9gM8nnjdRamYD/WLDOW7tB6siZUAUAAEl\nEO3ZCyGFbCKBsomSpSCVAVOpgLKy6P2JXM6YraRZVZibaLIVRTLFRiGDasgyIAoFyTJItGtpUMxA\nTdlESlKQygCA6CqKFjdwO8BiBYOrZoVYBnA6Eg8eB6iZI1kGsJIyIAoEfxIBZIGHZhOxZFtYk2WQ\nDIWtDKIN2HA5wWKliVaYAM8Y+PiYuO20J96KYhLRMgi4iQbAgofoEES+knTRWVjXUsomUozCVQa6\n6JYBdzmgivFyZ4wB5qn0Un7uU7DauuTk18wBJDcR1RgQBUIyAWTZ3kQJdkAmyyBpClcZTLaxlsXl\niDlxDIA43CaQUXS6B5i7IDn51TWAbUgMPlONAVEoJO0mCg8gI7G4AbWjSJqCVQZMZxAH2Mvhjj1+\nEgBYlUUKIvNP/wx2YXLKgGmKAHMVeNuPgFkXUI0BURgkowzCs4kYJl1GiSoDchMlQ8Eqg3gB5Lit\nJSbTS/moW4wZ1MxO/hpq5oD/z2+g2npf8scSRC4yrWyigDJQASqWWBCZLIOkSak3UU6j1QMjTtlf\nJTJohl30GQhvvg62ZBlQNy9yVnICqD7/14BODxbU44gg8ppk2lFI2UQBZTCZWkQxA0UoXGWg0wED\n5+R/53LGjxnUXwKUlEL45StgcxPrVhoO+8xnp3UcQeQqPJVsIsllRG4iJShYNxHT6qMHkN3O2HUG\nEDOK2A1/BZx8N/ngMUEUKoEXdCJ9g4RANtHkNmMJuYm4IIiZSGQZJEXBKgPRTZRCzAAAa7wWmFUH\ntiCLIzwJIpdIauxlIIAceE0F3ERxFImQTMsLIkABu4nkA8jcMy5aoSWlwETszqZMUwTVt58S21sQ\nBBEfv098wU8nm0jFEssm8vsnZZCbKBkK9y2m1cv3JnI7AUN5wn2GSBEQRBL4/UBxidjYMR7CNLOJ\n/D5RBrmJkqJw32TRUktdjuitqwmCSI2AMkjYMsCUMpAaFSVgGUzW7UTtTExEULjKIFoba5cT0CfX\nZ4ggiAQJKINEXtIRM5AnXUbxUkv9fkCtFv8j6yBhClYZiG2stRGuIu52gkWZcEYQRIr4fUBRcWKT\nzqR2FJPbCWYTicpAI/5HcYOEKdwAMjAVRA52C5GbqKA5cOAA3nnnHVRUVOCJJ54AALjdbuzduxeD\ng4OwWCxoaWmBVisOMmpra0NHRwfUajU2bdqEJUuWZPPyZz5+P1BcnGQAOSybKK6byCf2MVKrAT+N\nvkyUgrUMAMi3sXYnPr6SyD/Wrl2LBx54IGRfe3s7Fi9ejH379qGhoQFtbW0AgN7eXhw9ehStra3Y\ntm0bDh48mFhHzUJGCu5OYway5CaK84IPWAYqNVkGSVDgykAXGUR2uwByExUsF198MXQ6Xci+rq4u\nrF69GgCwZs0aHDt2TNq/cuVKqNVqWCwW1NbWoqenJ+PXnFNIMYNEis7ksokSGHAjBGIGGooZJEFB\nKwO5KmTucoCRm4gIwuFwwGgUK9KNRiMcDgcAwGazoapqqvW42WyGzWbLyjXmDII/pmXAez+B8H9/\nEtgKySZibMpNxN1OCP/6lLwMv28yZkCWQTIUtDKAziBaAsG4HJRNRMQkmVnXRBh+H1hRjJhB/znw\nj7rFn4OziYKb1QkcsFvB338nigzKJpoOhR1ArjCJg2WCcTkpZkCEYDQaYbfbpX8rKsS/D7PZjKGh\nIWQTSswAAA+DSURBVGmd1WqF2WyWPUd3dze6u7ul7ebmZhgMBmUvHEBxcbHicpKRMapSATo9/NYB\n2WO8KgaP3weDwYAxjQastBRMU4QxpoLBYIBDpYJep4XgHcPIhFf2HL6SYowVF4NPFENXWgJ1Evc/\n0z6vVDh06JD0c0NDAxoaGmKuL2xlYKoEej4M3ed2UjZRgcPDRisuXboUnZ2daGpqQmdnJxobGwEA\njY2N2L9/PzZs2ACbzYa+vj7U19fLnlPuYXS5XLJr04nBYFBcTjIyhPExoLgE3OuVPUZwOsDHRuFy\nuSB4vYDXK7Wydrlc4BCzuzBsA/eMy56Du1wQAIAxjLicYEnc/0z7vFKR0dzcnNQxBa0MmKkKwvDU\nNzvumwA8Y2J7a6Ig2bdvHz744AO4XC5s3boVzc3NaGpqQmtrKzo6OlBdXY2WlhYAQF1dHVasWIGW\nlhZoNBps2bKFXEjxiFd0NuEBJrzizzyoN1FwG2tBENdMeMEFIbIljFRnQG6iZChoZQBzFRCkDGAb\nBIyV0xpUQ+QH99xzj+z+7du3y+7fuHEjNm7cqOQl5Rfx2lF4PIDXI/4sBKWWBscMOJ9aMzEBlJRE\nyghkEyXSA4kAUOgBZFMVMGydcgkM9ouD7gmCUATu9wNFMeoMvN6pF31w19KQaWccPLBGWhtESDYR\nWQaJUtDKgJVpxbzlyZYUfLAPjJQBQShHvI6i3iDLIHgGcnCtgRBkGcgqA79YcEbtKJKioJUBAMBY\nOeUqGuoTB90TBKEMUjuKaJaBB/D5RAsieAayKihmwGMrA+73gVFqadKQMgiKG/ChflIGBKEkAcsg\nVgBZ+je4a2mom2gqZiBjGQjBjepIGSRKwSsDZqoCD1gGg/3kJiIIJfH7wWK4iaZiAd6QbCKmCis6\n805mHEVzE6nVk60rSBkkSsErA5iqAFuwm4iUAUEoxmQL65gBZEB8yQdnEwVbBlyIEzPwARpqYZ0s\npAxMlWJG0YhbbHerV74ykCAKFkGIH0CW/g3KJlJFcRNFDSCrwNRqMfZAJETBKwNmrhbdREP9QHUN\nFQ0RhJL4fdI8A9l238Ev+eCupVLRWWg2EffESi0lyyAZCl4ZiJbBELmICCIT+P2iC0elkm9j7fWI\nEwi9nsmYAcJSSwHwyTqDMu1UtXKIDIEa1U0DUgaVNcDoCIT//BEYZRIRhLLE+9bu9Yi9wbxh2UTB\ndQYBN5G0LkkZhCyF3Y4CACspgWrXM+BHDoPNvzjbl0MQ+U2gIEwV5Vu71yume0sN6sRMIh7Sm4iL\nFkFUZRAoOlPR2MskKHhlAIiVyGz9zdm+DILIf0JmDUS3DLjXMzX2EkxKJpKyiTweoNwYwzKgCuRk\nITcRQRCZI15HUa8HTGeYesnLdS2drEAOWRchg2IGyZKSZfD222/jlVdeQW9vLx599FHMnz9fdt2J\nEyfwwgsvgHOOtWvXoqmpKRWxBEHkKiHf2kNf1GILCkGcTS7VGajEtNJAzEClmmpHoTdM1SUEI/ip\nzmAapGQZzJ07F1//+tdx6aWXRl0jCAKee+45PPDAA3jyySdx5MgRnD17NhWxBEHkKiGWQdiLesIj\n1iAUlwBeDzjnkzqAhaZ883gBZLIMpkNKymD27Nmora2Nuaanpwe1tbWorq6GRqPBNddcg2PHjqUi\nliCIXMXvEwO7ci9qr0esQZhUBqHZREF1BnyyHUWsbCIpSE2WQaIoHjOw2WyorKyUts1mM2w2W4wj\nCILIW/wxmsh5giyDialsIqiCKpBVkwHkCQ+Y3jDVyyiaDOpNlDBxYwY7d+6Ew+GQtkXTjeGWW26R\nZsESBEEkhBAjm8jrDXEThWQTTaUTidPNGANKtfKWgc9HbqJpEFcZRBv3lyhmsxlDQ1OjJW02G8xm\nc9T13d3d6O7ulrabm5thMGS+X1BxcXFByc2m7GzeMwAcOnRI+llucD2RHvjkt3QWGDwT/q09OGbg\nCcsmCu5N5B0PtSDCCWlhTW6iRFG8zqC+vh59fX0YHByEyWTCkSNHos6ZBeQfRpfLpfRlRmAwGApK\nbjZlZ/uem5ubsyK74AgEdoHEYgYh2USTHm2VCnx8PNSCiCaHLIOkSEkZ/P73v8cPf/hDOJ1OPPbY\nY5g3bx7uv/9+DA8P49lnn8V9990HlUqFzZs3Y9euXeCc4/rrr0ddXV26rp8giFwh0CYCkA/uekXL\ngBUXQwjuTRRcdAYAntjKgPt9UKnV4NEK2whZUlIGy5Ytw7JlyyL2m0wm3HfffdL25Zdfjn379qUi\niiCIXCfQJgKIYRkEveSLiuS7lnrJMlACqkAmCCIzBArOAFl/Pvd6wIrksomCGtWpmGgZFBWLLqW4\njepIGSQK9SYiiBShCvsE8QtTbiK1OrKJnNcLlAR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Yxol++ctfMmfOHP/r7du3s2jRIjZv3kxpaSnV1dUAHDlyhF27dlFVVcWGDRvY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\nEFt8AVlCemQ20aBikJiBJSSsMlCObHR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def mix_sine_power(freq):\n", " nsample = 100\n", " t = np.linspace(-np.pi,np.pi,nsample)\n", " x = np.zeros_like(t)\n", " for f,a in freq:\n", " x += np.sin(t*f)*a\n", " fx = fftshift(fft(x))\n", " power = np.abs(fx)**2 \n", " angle = np.angle(fx)\n", " \n", " plt.figure()\n", " plt.subplot(1,2,1)\n", " plt.gca().set_ylim([-1.1,1.1])\n", " plt.plot(x)\n", " plt.title('$f(x)$')\n", " plt.subplot(1,2,2)\n", " plt.plot(np.arange(-nsample/2,nsample/2),power);\n", " plt.title('$|F(u)|^2$')\n", " \n", "mix_sine_power([(1,.5),(4,.2),(10,.3)])\n", "mix_sine_power([(1,.5),(4,.3),(10,.2)])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2D Fourier transform\n", "\n", "Similarily, 2D Fourier transform is defined as:\n", "\n", "$$F(u,v) = \\mathcal F(f(x,y)) = \\int_{-\\infty}^\\infty \\int_{-\\infty}^\\infty f(x,y)\\, e^{- i \\, 2\\pi \\, (u x+v y)} dx \\, dy $$\n", "\n", "the equivallent step transform is given bellow:\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ltt0yw+us4xARkStc6Vp21113wWQyYfny5QgMDERaWprTcd32GZ5YxyEiIlc5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\n4v79y4N8NgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib.pylab as plab\n", "import matplotlib.cm as cm\n", "import scipy as scp\n", "import numpy as np\n", "from numpy.fft import fft2,ifft2,fftshift,ifftshift\n", "from scipy import ndimage\n", "from mpl_toolkits.mplot3d import axes3d\n", "\n", "w = 2\n", "n = 128\n", "r = np.zeros((n,n),dtype = np.complexfloating)\n", "r[n/2-w:n/2+w,n/2-w:n/2+w] = 1.0 + 0.0j\n", "\n", "F = fft2(r) #2D FFT of the image\n", "rr = ifft2(F) #2D inverse FFT of F \n", "\n", "real_part = F.real\n", "imag_part = F.imag\n", "\n", "fig = plt.figure(1)\n", "plt.imshow(r.real,interpolation='nearest',origin='lower',cmap=cm.gray)\n", "plt.colorbar()\n", "plt.title('$f(x,y)$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The original image consist of a 128x128 image containing zeros everywhere except in its center (a 2x2 square)." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mSSYzm/50FirRjUTTKGs/WRUr4nNMY+RHhC97kgDygwJ8bceMauL6JAPjz3Gm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0xmzINm1u+PdV/3vteavcfo4ZtzXu5/1p6196zZs9a9rnXdn+tzfT40pC0pOuvpw0re4GEmMJWP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\nHKji7S28Xgy7phOn+adh7baZWOLYxAbiNYTihW0kA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nsq1WOJwwhDebRSecGfrKJ6xh02zEZXK05GjyQ7tqDnc0+yVgCEAfUuPY9gXg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\nEVkGBwcTX/7ylxOTk5OJRCKRePHFFxP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(2)\n", "plt.subplot(1,2,1)\n", "plt.imshow(fftshift(real_part),interpolation='nearest',origin='lower')\n", "plt.title('$\\mathcal{R} \\{ F(u,v)\\}$')\n", "\n", "plt.subplot(1,2,2)\n", "plt.imshow(fftshift(imag_part),interpolation='nearest',origin='lower')\n", "\n", "plt.title('$\\mathcal{I} \\{ F(u,v)\\}$')\n", "\n", "fig = plt.figure(3)\n", "plt.imshow(np.abs(fftshift(F))**2,interpolation='nearest',origin='lower')\n", "\n", "plt.title('$|F(u,v)|^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the Fourier spectrum, the zero spatial frequency is in the center. We see that most of the energy is in the central part of th the spectrum (a great part of the image has no transition), however, because of the sharp border of the pixel we have also higher frequencies available, the figure below illustrates the $\\sin(x)/x$ aspect of the power spectrum of the 2D step function." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EFX15P1+NBtubih5GxMh1KuW/RtdVOHeOBE8eGMejRxCTglZoRAzDyOV4iKzw\nJKCnfIgVXcEeUJpe1mhGEsbprp33cP25cwxuH40iZfSN3XUZghqBs2fLKXiU8j08eTcsB5i7lVpE\nfhFCzPR1FSDBMxLG2NgVMXEMp5NsbjfsudL07wRUNAmnT4SHUlg+QR+mMk97P3t2/3trmtEqtAIc\nB9B13z/3yisWPK+4/YgG4UkGBpX6ZzArdC7hUWl6rpn1LssACZ6hBN+wkzZ4C6I6wQZWpM3ckwxa\nyhdbU1dwBNu7KFIKq0PQcBIofsn5IKRUePXV/Wtqfl5FNiwDgBCAYfiXro0NBxcvDh5HUVSKlM4C\nOqXpFOXJLyR4SPAMJOitkzTiUvSeKelWaPnnkDO/PN2VrKuBXlmjGVGZVh+mSbO6yrG+vn9N1WpA\nux3vSwVj/npRyjcvl42iCR7A9/GQ4Mkvsz5WAiDB05dxBnUGG3ngwSii2AGySWkBfpTHdtneBp/m\n+ck6HZj24/dGuKYxIHaSnDu3v7syAFQqAl7MIE1QqQUAp087Yx5Z/nB2h4YWiSKVps8isz5WAiDB\nkyplilqIDASPUgoGl2i7ilJYM2jSPneu/3stZZJ11jlfr71mw7LKZR4pZISHStNzDaW0SPD0Jcm3\n+HBaoqhRnTBZRHiEEDCYB6FmY4MfRDjdOSuiz3X7+3cAQKn4HjnP82dqAUCrJbC6Wp4oj1SAJzlM\nXiwzNpWm5xtKaZHgicwgEZS28XaSVVrDSFPwhF9P1WQzfVEMl5yXQRhHZXWVY3Oz/3pKEuHxBU9n\nHV28WB7BY++WoxdtaVBper6hlBYJnpEM25CKnpYYJq6EZNBSeDlSyr0p8JqmobJbqTVr9PPrjEuR\nxNKFC/1fb7UKWFb81I3nKRhGJ31y4UJ5KrWK1H8nDJWm5xtKaZHgSUyZe8eo3SGf45Sl927wwO5Y\nDk3BFQyJbBsFpejCOA1WV/v/fm5OwbLip26kBLSQIj9zxo7VrTnP+P6d4r0Wmpqeb0jwkODpy7CU\n0iz0jpHKH/aZdEpzb1fp4Pzslabvip5ZoMzCOCpSKpw50/8zVasBtp1scw9K0wFgc9PF+nrxoiL9\nKKJhOaBIU9NnDUppkeCJxax8Ux+n6WC/rtK9m3xFm420VpDOK6swjsrGBsfGRv/1VKlIOAntN+HS\ndCmBixeLP2aiaCMlejE4+XjyimVZMy94kg+HmjECocM5n0i/FKXU1DZIIRl0Fk/wBJ2CpZQjPSrB\nENHFSvG906uQAAAgAElEQVTC9lHoFcazKnQCVlcZPC89w3JAOMLjP0/xBY+nijVSohdDo148eSVK\nSqvRaOAb3/gGtre3wRjDTTfdhFtvvRWtVgsPPfQQ6vU6VlZW8NGPfnTvsR577DGcOHECnHPcfffd\nuOaaaybxchJBgmcEQXprUptXHjZHL6ZhOdjggWhdpU1dwfam/zqzIO65CJOXCr20WV1lAAa9ruSi\nVwgGxrBnkj192gKwnPjx8oBT4HQW4Ed4LM+Y9mEQuyil8Pd///e4/PLLMTc3N3IANuccd911F668\n8krYto3Pfe5zuOaaa3DixAm84Q1vwO23347HH38cjz/+OD7wgQ/g/PnzePbZZ3Hfffeh0WjgS1/6\nEu6///5c7GP9ICk+hHC/lDJ3we3dZIVC5G+YSTwqpiYzKU2ftmAgv05/zp4d7olLihAADxnN1tdd\nbG0VVywAgO0VN50FBCktaj6YJ37v934Py8vL2NjYwCOPPIK//du/xaOPPopf/OIXcN3uqOjS0hKu\nvPJKAEClUsGRI0fQaDRw8uRJ3HDDDQCAG264Ac8//zwA4OTJk7j++uuhaRoOHTqEw4cP49SpU5N9\ngTEgwTOAcL8UIB+Rl7QZ9JqieHjGMW+bJTMtz4KRPSnNJnDhQv+1xDnGqqxyXXSlTh1HoV4vdlqr\nyIZlvwpTwBVUmp4XGGO46qqr8K53vQtra2v42Mc+hg984AMAgEcffRRf/OIXB953fX0dZ86cwfHj\nx7G9vY3FxUUAvija2dkBAGxubuLgwYN79zlw4AA2NzczfEXjQSmtAQTjIRhjiaelFxUxQvCMk7YB\nsFearnarwYpCuNos/O9xzkXZWVtjsKz+f6tW4w8NDeN5wPy8BtftCIT1dRfHj1cTP+a0cYSGlWox\nh6EqpaAxgDMFoeL7AIlsabfbWFxcxJEjR/D6178ed9555961qxfbtvHggw/i7rvvRqVSKc11jSI8\nAwh/S592qmTSDJujlUbaJpiaXvRKrSDlSSmswaytDb7EJO3BE2a/cbm4DQilAlzJYRQ0whNAlVr5\npNVq7RstEWQwwggh8LWvfQ1vfetb8eY3vxkAsLCwgO3tbQDA1tYWFhYWAGAvVRbQaDSwvJxfHx2t\nyhwybYHlSQatZ+8eN23T+5pMvdhprXDKk8TOYNbXB//NNAHXHVfwdJ/3c+ecwn45cYUGg8vE/a/y\nAlVq5ZN2u41qdXT08+GHH8aRI0dw66237v3u2muvxYkTJwAAP/3pT/eE0LXXXotnnnkGnudhfX0d\na2trOHbsWDYvIAUopTWAaZaFT5te03IWaRtTk7AFx8IYVTrTIi8l50VYn+fPDxYflYpK3IMnINyL\nBwA2Nnzj8vJy8S5ttuCFNiwHdIzLxfZTlQ0hBAxjeAXdSy+9hKeffhqXX345PvvZz4IxhjvvvBO3\n3347HnroIZw4cQIrKyv4wz/8QwDAZZddhuuuuw4PPPAAOOf40Ic+lOvrUvGuCkTmhD08QfO8tPsP\nmQVsPhiOHExb7BSBrS2Gen1YtCUNsdsdSfA8hdVVr6CCp7iG5TAGF2hRaXohufrqq/H5z3++79/+\n5E/+pO/v77jjDtxxxx1ZHlZqUNxxxumXPhOSgTOZaeWRqSm4BerFE6SwgHK3KEiT9XWMiOBkk3pa\nXy/m5HRHaKjoJRA8lNIicgqtyghM21MzSZTyU1qQ2Y7QyKoXT9oMGoJKjGZ9fdR5Sh7hYQzwe6hx\n9PouizpTyy7wSIkwZFom8gqtygFMW+BM6/k96Q/45DzbyiNT91Naab7MtIVpIHaCFgVlnZ2WFWtr\nw9dO0rESlQqwtKTAuQ3Ps7G4WMX8fCeFcvasU7hWEkIyKJSjlFtjClIxjDE1hCAyga7gOWQaEYRg\nc3dcCY2pzCuPOAM07leE5ZFwl23y6yTj3LnBO56uJ6vQmp9nABxsbtpwHL+s3bYFLMvD0pIJANja\ncrG5WaxISRDdKcMyY2w3ylOACC4xW9CKJLoiGeD6xAYX+mmt/F3h+018J+KxucmwszN4HVWrgG3H\nEzymySCl03U/KQFN4xBCod0WqNUMeJ5CvV40wcNLYVgOMDQaMZEnXNft23Nn1iDBM4Bpp7QmRTDl\nHPAjGVLFGxwalX7pJiNnlVo0IiI9Tp/WoJSBAwcM9MsEVioKth39M8a5QrUq0W7vFwXBW+S6AkoB\nhqFhY6NYJdFOSfw7AeTjyReWZY2clD4L0IqMQFlNy4HQYYztpW1GjZVIkzwZlwOxk6VRe1Y4d07D\nT39qwLKARgNYWNhfIh43wrO4yLG11X/kQliUttsuajUdGxvFEg9lKUkPMLggwZMj2u32vi7Lswit\nyBkk8KcIIcAY69owogwOTQtTU3ByUJoeZ0REWcVvmjzzjA7H6Zwj12XQ9e5zapoKXsQpEIYBOEPr\n27sfe2fHweZmcUzLSpUwwkOl6bmi1WpRhAckeHJJlpvqKDOuUAzahCpF8jA1PY8jIoosqDY2OF58\nkcPzOq+h3QZqtW7/gFLRBUmthr6prIB9a1goNJsSrVYxRI8rOTSu9o1zKTKU0soX7XabBA9I8Ayk\nyJvOIKKYcYVEJh6efkwzpRX26+QlhZUHsTUuv/ylDiFYH38O66lAivb5Mk0Gyxo+PbzfwOe1NRvb\n28X4DJctugMAOpfwJE+17QSRHBI8PtO/yheIooqgOGbcYZPS00bj/rYnJvxFvNevUwahkRd+9Sut\nb7qq2QSq1XCUJ9oam5sbbW4WQu0TrEJInDs3XCjlhbJVaAF+2wnOFDyVr8/WrH7W+01Kn0VI8ESg\nyB+SuGbcSaa0GEu3UitKKjCIckXx6xDxqNc5zp3Dvs7HgB+FMYzO2ovSdJBzv5x2FJ6noPXJB732\nWhOWlX8h4ZTMsBzg+3jyVQpd1C+t40IRHh8SPCUmyebuV2llczz9LjaTSmtRyXn2nDmjw/MYokRv\nonRCnp9naLVGCwEhFHR9/xpqNAReemlr5P2nTVlGSvRCPp780G63Ua1Wp30YU4dW4wCK/E0gzube\nGxUREplEeAY9/ySmplPJ+WQ4c8Z/HwdFbyxLQddZ5JJ0xqKJACnR9z1tNhXOnNmJ9BjTQirAkxwm\nL4bBOg5Ump4fqCzdh1ZjDhmnSmvczV2oyZWlA9lXaoWr0iiqkx2eB5w6xaHrqqskPYzjMFSrHJXK\naMEzN8fQbEZvHjjobdV1Az//+SqazYg18BPGERoMTY4cKVHEdUvjJfIDpbR8aDWWiHH9KUr53zj5\nBK+tRoYprXDJOZmTs6Ve59ja8gd7DrPdcM5RrQ4WRQGGoSBEnE7MrOdn4MgRjrU1C//v/9XxxBOn\nIz/WJInacLCIEWd/vARtMXmABI8PrcaI5LnhXFr+FKEAjQ3+tpwFWUR4es8HpbCyZ22NQykGzjG0\nFFkpXxQNEzycA1LG9bR0r6HLLjNx6tQWlOJotwVefHETZ840Yz5m9jglrNAKMHZL04npQ4LHh1Zj\nwUnTnzLJsRIBxq7gSVNLkl9n8qyt+dU4w8Ty0pLC0pLE0pIaertqNV46y6f7AatVwHEklAIaDQsL\nCyb++79XYz5m9pTVsAz4XkCpGCIU5BEZQ2XpPrQbDCGvEZ2AtEusJ1mSHsAZoHEFV44f5QneLyo5\nnzxnz/rnmvVZP5wDr3udRKUisbam4DgCR46YWFnpX7Ks62osAby8bGBjowUAsCwJw+AwDI4XX9zE\n9vawERWTJRgpUdYID2Pk48kLFOHxoZWYYwYJrjRLrMOpOiHRd7J11qRRqSWlhNhtuZul2MlzanNa\ntNvAxYt+Ois8UgLw19Ov/7rEa68prK4Ctu334zl7VsG2OQ4f1vbdXvRrnTwCv1LLf88PHuTY2PCF\nzc6Oh8VFE+22gJQKp07lp2pLKAaFbKoi84Lv48lXL55ZhASPDwmeHDJss86yxFrI7CI8w4SCqSm4\nCYeIhgeharsd70iQTJZ6XYNloW+F1utep/Dii92dl7XdRk/NJiCEhoWFzhqem2NoteKms3yhFXxu\neKjEu90WqNUq2Ny0sbxcwalT+enLExiWyxyIpF48+YBSWj60EiOSh2/2WXcJnnRJeoChSTgJLoqB\n+AMwc36dcLn9tNnY4AAYdL27QuvoUYULFyR6ewxKqfa6MW9sKCwuatB1f91pWrJ0lj9egmFuTkOz\n2RkpIaUf8ZPS7wH0yitbsKx89LzxZ2jl41iyQqdePLmAIjw+tBKHMG2BEzCpLsGTHBwaxtQUnJgR\nnlkeEREeApsHfMHTPVLCNAFNk9jpk0FqtxXC197z54FLLjHBWJLqLB/P87stHzyoY33d6vmrf3xC\nAJbl4eLFfFRrRS1JLzLk4ckH1GnZh1ZizgnEjpQy8yjGNEzLQLzS9FkeEZHXcvt6fb9h+ehRiTNn\n9t/WNP1U1txcRx0p5TclXFrisKxkUSul/FRZpbJ/cGnwvWVry8b8vIkLF1qJniNtylySHkC9ePJB\nsH/MOrQSc0w4bTGJxnlyCmXpQPR5WrM8ImKSwjcOUgIXLuwvCXfd/ams4G+WhX3DPtfXFa680thn\neo6D//HY/6TttkS1qsOyBGo1HefOTV/wBBVaZS1JDwh68eQkWE7MOPm4ahaAaXh4gm/ykxA7Sqm9\nxoOTRuN+h2cxxM4QiL+yp7D6rbNJC984bG5y7OwEk839N/DoUbU3V6sXw1BwXQnG9l96hPD9PEmp\nVjW0WvvLzptND/PzBgD//J4+vQPHma7QcCSHzuVEu5pPA84AzhQ8VfIXShQCEjxDmIaHJ7y5cc4z\n/yYf3jyn0XjQP4bhaa3wiIgyi51+hP06/V77tM9Fo8HheQyG4RuW/TlZg8WEaSo4jh/hCB96tQqc\nPevikkvMxMeyuKjvlaOHabcFFhfN3X978DyJtTV73+0mySxEdwIMLuGRj4fIAbQKc0Rv5c2kN7NJ\neHgGl6bvT2uFPSt5SuNMgqJ4lTY3/ffEMHzvzKWXKpw7N/g4KxUO1/V795hm53ZLSwzb2wKu61d7\nJSHortyLn1rzI0dbWw4WFkzU673G5skyC4blAPLxEHmBVmFOyEMUI8vGg6Nej9HTfLDXr5PHzT4r\novp18nBOtraC3jf+z4ah+np3AgJjs1+p1Tl+TfOjPufOeThyJFmUR9OGiXX/AKVUMAyeE8FT7pL0\nAL8XDzUfJKYPCZ4hTCKl1S+KMa2NTE6pSgsATL2T0prlknOlFOSuYiiC0NvcDI5PYWUFWFsbvn6C\nz5Tj+NEeIOiu7L9mzwOq1fghHsYAzxvcxC/8UVaKYXW1Hfs50sTxZimlRb14ponrulShtQutwohk\nYVoeFsWYtElaKd84PC0TpcH9CM+4aZw8NIhMSiB0iiT01tY6x3jggMTWyEbGnfcmeH3z836qKWB9\nXeDAgXgRgVqNY3vbHXjObFtC1/3LXavlYHPTnppxWUgGoRgMPkMRHvLwTA1qOtiBVuGUyFsUI6jQ\nmtZhGJqAI1juyq57yUpQhWeBTTPKF4dmE9ja8iM0jMm9Kq2oBK9xbo7BCmWYGg2FAweMWI+1sODP\nz9L1/uet1RJ7lVrb2w4YY1MzLgf9dwrwFqcCeXimC42V6ECrcMLk0YzKGIMnMJUKLcA/J1y5cAWH\npuU/jZMmvSnNIr32zU1tdxgosLSk9vXj6UdYLAb/7Oe9YYzHEgTVql+NpQ1oFd5qCSwsVPaeV9c5\nNjenI3jsGarQAvzhqFIxyGIGXgsPRXg6kOAZQtYprDxFMabl3wkiXbrGwRkgVH7OSdaMa8yedurO\nNywz6LqCYfjl5qMId0G2LKBWYxBi/+tYWxNYXo6e1mJM7U5M779+PE+hUtFDtwcaDSf08+SE5ixV\naAH+udZpiOjUIMHTgVbghMhbCqsXoVhmFVr96BfpMnXZValVZsrQSHF7218wpgm47mjx5Xdg7tzO\nshQOHuTY2to/HX17O15aK6j+GnYepez8rdl00W7Hn8qeBo7QUNFnR/AA5OOZJpTS6kArMCZxv1Xn\nMYXVDyEnE+FRSg2MdMWZqVVk8tCCIA22t/3jPnhQ4sKF0bc3TcBxwoIHWFzUYFmD1h2LlNYyDAbH\nCZp1Dr6dCnX73d520W6L0N8mEy1TavZSWgD5eKYJDQ7tQCswIkk2pXFSWJOuNhIqew9P8JoGRTZ6\ne/GUjbQbKU5bKAUl6bVatHSWaSrYdvca294evPFvbMhIaa25OYadnSBaM/iceF5HEEmp0Gp5aDaT\nDStNiis5NC6nMsJlmvgztagXzzSglFYHEjxDGEdw5D2F1YuULPOLcNBjZlBkI+oQ0SJSxkaKjQZD\npaK6ojbD6J1kzpjfcXkQm5vR0lrz83xPuAw7r62Wh1qt09TQtr2JG5dnqeFgGOrFMz1I8HSgbkQp\nE2zqwcaeJ2PyMIRi0Id2qk1OuJnesPlgpqbQKGGEJ4hqBa+9DGKn3Qa2t4GVFeDChWgbuK6zLsFj\nGEC4L08/eqeq98MwwmboYYJHYGXFxM6OH46ybYGtLRdHj458itSYtGGZu20YzTo0twXuOZCaDqlX\n4NYOQVQWJtaHwtDIwzMt2u02eXh2IcGTIsG3eKAYXXIDGGMQEqhksBrC5yR4rkGkkdLKW+PBoL9O\nkcRvFLa2OGwbWF6WOHcu2n047+547Ht6hr/fOzsK1Sob4vMBOA+Xug++nW1LVCqdCM/Ojjt00GkW\n2ELDshkh/zcmTHiobJ2BZjfhzh+GVTsKpVXApAfutlDZ8t806+BVkEb2/g5jt0qrd2gskT3tdhuX\nXHLJtA8jF5TnCjwBhm2mRUth9SJV+pPS454TgysIWY5+Hb1m9TKJHcCv0FLKn50Vld6PDud+ufiw\nKM76usTKyigl3nlgIdRQ43J4Ddq2mHi3ZcfLPsLD3TZqa7+E1Ew0L30jnMVLIc15KE2HNKrwaito\nXfJ6uPOHMLf+K+jtRqbHA/gd3DlTEKpY18UyQCmtDhThGZOsUliTNy2nV6WV9Jww5kd5XMFQ0Yur\nesaJ9OUtQjWI7W2O+Xk/rRWd/akvz/NHPoSjgN1/x27/nP4l5P7SkqHbM3DOIAeoZtWz4YZ78WSN\nL+YZ9AxHSmj2Dqobp2AvXwFv7sDgGzIGd/4QhFnD3PrLABi8ueXMjgvoRHl0PlsVatOGytI7lOtr\nZwYM23yiTrUuAjKlPjzjNlcseqVW4NcBUMhIX1R2dhgOHlRoNJKJM133U0yeh70ZV4NQanB5eqUS\nrtDyh5AO6rYMdPfiAYB63dobXJo1QTl6VkuCu21UN07BOnhsuNgJIY05tA+9DpXN09DsnWwObBfy\n8UwHivB0oAhPQsJG1DJsbGn04RnVTC9K9MLcuyjms5JlVFpTCLG3JsrMzo5fdbWxEX3NhKMulQpD\nsxnMDhv+2Vlf97suNxr7IwPz8xparY4TWggFwxj8eLYtYZocjuOvr81NC42Gg0OHsvex2Bk2HGSe\ng7n1l2EvX+mbkWMgjTlYB4+huvEqWpf8OpRmjr5TAvwIj4ZB0ToiXZ566ikcO3YMrVYrkuB5+OGH\n8cILL2BxcRGf+tSnAAA//OEP8dRTT2FxcREAcOedd+JNb3oTAOCxxx7DiRMnwDnH3XffjWuuuSa7\nF5MSJHhiEqRryubNkGP24QmfE8ZYYgFYxAhPUSvzxqHZZGAsekk60O3hCRuNR62V7W2FY8eMvoJn\nbg5YW+uIY6WwKzb799dpNj0sLJio1/1ppZubDixrMikWW2iY0zPo+6MU5jZehbNwOHFaSlQW4M4f\nQnXjNbQPXZ2Js9jgAi0v3lBYIhlCCLz22mv40Y9+BMYYfvzjH2NrawtveMMbsLzcf43ceOONeMc7\n3oFvfOMbXb+/7bbb8M53vrPrd+fPn8ezzz6L++67D41GA1/60pdw//335/6LPwmemATl1UWqwhoN\n80dLJHg5aW/2pqaw6RZHMJSxv84opASEYGi1ZFeZ+TB6uyyHl0mUczYoCtRvuQ17OMuSWFoyAfiC\nRym/6/IkcATHgUr64srcPg/FNbjz41XiOAuXYs7ehtFchbtwaUpH18HQJFy7OJ/tIqNpGj7ykY8A\nAD75yU/i+PHjOHnyJL7//e9jeXkZN954I2677bau+1x99dWo1+uRHv/kyZO4/vrroWkaDh06hMOH\nD+PUqVM4fvx4yq8kXUjwjEAptZfGCFIZk9zYgufP9Dngdy+JK3iyKMP3U1rF+BYYTuHNitgBfP+O\nYfijIaL6q/15W/6//eqscFRm9HkTgkHXsU9gsT5p2GFvg+cpVKvdl73V1TauuSaa5yUpSvkztNIe\nKaHZOzBaG2hd8obxozKMwTpwFeZXfwmvegBKTze1ZdAA0amwsbGBm2++GfPz85BS4tVXX4VtR2+4\n+eSTT+JnP/sZrrrqKtx1112Ym5vD5uZml7g5cOAANjc3Mzj6dCHBE4EgXRNsaJPY2Ca5eSbx74T9\nKmk20wtSWnnv15HV6y8CzSaHlCrW++NPU5e7/0ZXGslxfBEkh9i26nWJpSUd9Xq34ukneEbVYvQa\nly9eHNLuOSUcwaFzmSiKOhAlUW2chr18BZSWzqVc6Sac+UOobJ2DtXIslccM0JiCVH7biVTPAzGU\n8CwtznmsKMzNN9+M97znPWCM4dFHH8UPfvAD3HvvvRkdafaQ3B5BsLEF3+DLuLH5k9LjmE9lZsNQ\ng5YsIqeV2UGUL+/DYLOk1WLwvHiCxzQ7YyVMEwhXoXueHGny3tmRWFzs3tT9Rob7VdKo4+qNKK2u\ntmFZ2ZrkbaGn3n/H3L4IYVRTLyd3Fi6F5rZSr9pijKI800AplbiIYmFhYe/69ra3vQ2nTp0CACwv\nL2NjY2Pvdo1GY6A3KE/QyotA2dMVUiJShCdI4aQ1/LIfjAVT05M9dpZ9bMIjMorehmAcXJehXu8v\nNgZRqbC9AaO9HyXPA0xz9Lns9fH4lV77/Tej3v7eSFKz6aJezzbKYwsN1RQrtJhnwWitw16+IrXH\n3INz2EuX+92YU/4s+aXp5a5gLDK9186tra29fz/33HO4/PLLAQDXXnstnnnmGXieh/X1daytreHY\nsXQjgllAKa0RhKM6jLG9Da9M+Ibl4Re2SY7N8IeIMszlyMoTZ0RG2XFdoN1Wsbos6zoLCY399xtV\nmg74TQXDPp65OQ3t9v7P46iPaLPpoVbT98rZpVTY2HBw9Oj8yGNIiiU0HDLSM0dXts7DWbgUSsvm\nQ+JVl2FuX4Rmb0NUl1J7XIrw5Jevf/3rePHFF9FsNvHpT38a73vf+/DLX/4SZ86cAWMMKysruOee\newAAl112Ga677jo88MAD4JzjQx/6UCGuiSR4CEjFhwqetPwqUQVj3krTw6+fMTawK/A0mEZn5lbL\n9+E4MZoUdwz/gG33MxqPfr83NiQWFzVsbPjnf26OodHYXyYmxHBPULstsbBg7gkepRQajeympiuV\n7kgJzd6B5lqwDl6VyuP1hTE4i0dQ2b6AVmUxNUOdwQUcSRGePPIHf/AH+3534403Drz9HXfcgTvu\nuCPLQ0odkto5ZlKbmW8i3P88vfOgJuVXMTUFJycdWbP0KxWV1VU/0hIn2BmsYz+11W/jH31ed3Yk\nlpY6EQ1dV32PQQg5NN1oWQK1WndkZHXVGvn8SXGl/4UilVl1SqGydQ720mUAy/Yz4lWXAKWg2bHm\nhwyFui0T04RW3giKMNdoXPrN0Rp3RMQ4+KXp0xUWYbE3y36dXmwbOHMmyRgSf31pmhrLFhJOffWv\n0Nr1pA0ZSOpXAHZHGer1NtrtDJoCIt0Oy7rll/561QkYRBmDs3gpKtsXU3tISmlNllnYv+JAKy8G\nRRnsGBchuz08o0ZEZI2hKTje9ARPlGaCZVwHUVhd1dDOwN8rRDQRNWyuVuexhk9g9+n+u20LrK1l\nE+WxRUrpLKVgbl+AvXjZxHo2eNVlMOmCO61UHk/nEp7kaXuhiQG4rgvDyJEZcsqQ4CH8sRK7gkdK\nCc/zpprCMTQFT7KpXBSjzAObZep1tmsajtu3yS9jH+Th8jwVybi8tSWwsOBHZ/iAqeNKAZwP94n0\nlqYLIVGvZ+PjsT0NFW386JHebgBMiz0raywYgzN/GGZzNZWH48wfYeNRlGci0KT0bmjVEXt9ePKS\nwuEM0LmaeForD2Iv72xs+OtCxGyUJGXQcLC/SHFdNXJqOgA0GgpLS9retPVBjHrrfIHV/fPmZgwX\ndgxSSWkpBXPnIuylIxPvyOnWVqBbO2AinfPjG5dp65kENCm9G1p1I5iF1IXY7cOTp3lQpj65Sq08\n+XXynDb1PGBtjUPT4g0N9cdKKBiGLyz64ftuRp93XzhpqFQ0WNbgqMmoJdxqCdRqndEJnqewvp5O\n2iaMJxkUAD1mJ/Ne9HYDimsQ5gSjOwFcg1s7CKO5nsrDkY9ncpDg6YZWXY6ZxOYnpdzz8GQ9IiHO\n6zESVmrFPWezOPwzKevrHO02doVL9PuZpm92HtXsNarOZMwvSR9uMh7+YO22xPx8x9sgpUSj4abe\ncdnyNFQ1MV5QRimYO6twFi6d2rwVZ34FRmsDiNFschBUqTU5Wq0WCZ4QtOoSkNdv4HEIRzXk7qT0\nPG32QfPBLJm2ObtorK76M7Q0LV4DXtNUcF05cq9mEcusLUtheVlDq5U8pWXbAtVqt5nTcQTq9XSN\ny7bQx05nBWXhorKYxiElQulVSL0C3doafeMR+BEe6sUzCSjC0w0JnhGExU1ZNsRA7Egpoes6ZJ+y\n9Gnjj5fI7nyTXyc+q6taoqGulYrfLyc8Ib0fUd+DzU1gaWmUKXn4Y/QzNiuF1EdMWMKP8IyDH925\nZOrTdN3aCoxmfezHMTlFeCYFCZ5uaNXNGEFUA/BHRAAMYkDjwWmSVfPB3maK1F8nOqurDK47uP/N\nIHSdQSkG2x6+8UeNGrVacuSw2yhNEXsrtQCkWqml1PgVWtxpggsX3tyB1I4rKd7cMrjXBvPGO0eG\nJog3c+wAACAASURBVOBSafpEsCyLBE8IutrPEEFUg3O+F9XwuyxP/cvjPozdlFaaF8VpNlMsOltb\nwOYmg23Hr9AyDAZdVyN9P54X3cfTbzxFGClHP1avKJJSYW0tvQiP2BVU+hgdls2dNTjzh/PxAWUc\n3txB38szBpz5X7BEH8FJpAuVpXdDV/yck4ZfaNiICBlhcOg0CCqUY+6tAwlHtiiFFZ96XQegIKUa\nWGk1CKVUJCHjC55o70ulwodqgCh9fTyvuxReKYXV1RY8L52uyNbu/KykS415DjRnB27tYCrHkwZu\n7SCM9sbYU9QNSmtNBEppdUMrLiaTLBtOY1MeFdXwS9LzWQ7tG5fHX6LhyBZVYiVjdZUhaNgaZ2go\n4K/BKKfc81Sk0nRdBywLqNUG+3h8c/Xwx/JL0zvzkz1PwrIE6vV0+s2Ma1g2m2vw5g4CI5ooThJp\nzEExDZrTHOtxDE3SENEJQIKnGxI8JSZKFZJQLJ2hhhlgjjliol9ki0jG6iqHrvul5XGGhgK+58d1\nR99JSkRqPmgYDPW6g6Ulc+BthBgd4bEsgfn5cC8eCcYYNjbS8fEEJemJkAJGa8NPZ+UMtzZ+Wsvg\ngnrxTABKaXVDKy4CeYt8RCFqFVJQkj5Jop5P37ic7OB6K9HIr5McKYGzZ/luZVP8+2vaoAnp+4ny\n+NUqw/a2QKUyWMAqhZEC17IkKpVwLx7fYL2+Pn5pulJBh+VkhmWjVYdXWYDSB4u6aeHNHfDL02Xy\n6BX14pkMFOHphlZcyYjbNVhITCzCEzeVZI5xUQxXoqWdwspj+i9LNjY4Go3kwl/XZYxGhaPf72qV\nwbLkyLUd7W3v3Mj3GmloNMYXPF5gWE7ij1MKZnMdbg6jOwCgNAPCrI3Vk8ekbssTgQRPN7TiSkSS\nrsEihz14ApKMlwg25XAlGjEea2s8lMaKv1Y6Omn0exHl/TIMf4CplHxoRCjaW9/9AIwBFy6MP2LC\n8nz/TpLlp9nbUJxDmPlNRbhzB2C0G4nvb3AJR2hUmp4xJHi6IcETgd7mg5M0LUd9riCFFbdrsIhQ\nvhsH5lpg1g4gx58ObcRIaYUjWwAyH5MxbcLiNmvW1vwFwjmLXZJumv4k8jQJevBsbgosLOjDbjny\nsXr9SEr5Q0S3tsYzLtuehmrC/jtmcz0/pegD8KpLvnE54edc44pK0ycAeXi6IcFTcIaVnEchtS7L\nwoN+8UUY5/8Xev01mKdPQts8P1b5qsEVhPR7BQ2j169TdpRSkFJCSjkRUXfxoh9JUSre0FAAqFb9\nuVVRESLKPt8RPIuLgz0uUSvDukvTfb/RxsZ4aS1L6KgmqNBing3utnLRaHAoXINXWYTR3kz8EFSa\nnj0U4emGVluBSaORnpB+ldZYkSspYFx8EdAMOFe8Ge7RN8G5/BrwnXVoG2eSPSb8DWtUlCc4B0A2\nfp28Melhp64LnDvHdiM1o5sH9lKtYujMq16EYJF78fiT04et+dGP01uarnaHY47TcVmp5BVaZnMd\nbm0FiDhXbJp4cwegj5PWotL0zCHB003+P1VEX9JqpCeU34dnHLSNM1CaAW/lqk5+zKjCveyN4O0G\n+M564sf2S9P7L9OkabyiMo1hp/U6R7Ppp6aUih+wm59XsSI8nicjlKZ3DmJYr50oAr63ND0oZ280\nkgseR3DoXMYvBpASRmsDbu1Q4ueeJF51EZprgQk30f1NLijCkzHtdhvVanXah5EbaLVFIG8VOWkO\nvpRyvE7LzG5Ca9bhHTq2P4eg6fAOXw29/hrgJttATL3/1HQpZeI0Xt7pt96mNex0fd0vRzfN+NEd\nAKhUEOt+nje8F49pArbdEVCOwwZ60Pxuy8Ofr7c03fMkNI1jbS15SitpOstoNyDMWi5L0fvCOLzq\nInQrWVrLj/DQFpQ11JKjA52JmEyjJDl4vn6DL8fd+MZtPKhvnIF38ApA6++dUZUaxNKl0DdOA4h/\n/np78cQtuy8ave/ntIedBoZlXff9NXHR9bDgifa+D1vShsHhOB3Bs7MjBxqXhWCRfDzhcy6E34tn\ndbUF103WZ8ZKYlhWCkZrLZeNBofhzi1DT+jjMbiESyktYoKUa7coGeELcVaDL8dJaTGnBea2IReG\nh+DF0hFwe8ev3opJeLzEpP0r0yYPzRMDwaNpHX9LVDgHZILmdGyIf6VSYV0psu1tgYWF/hERIUb3\n6gEApTq3kVLCMDiaTTexjydJhIe7LTApISoLiZ5zWojKIjS3nSitZWp+SitnAXSixJDgKQBZejek\nZHtlvnHRNi9ALF462mDJNXgHroDeiG9gDsZLTMO/Mk3yYMZ2XeD8ef95OVdw3XjrRNcRaaREL8Ne\na9B0MMDzANPsv/6EUJFGVfSWpjPmb8JJBI9UgCs4zJiGZb8U/VCuS9H7wji86lKiJoTB1HSPStOJ\nCUGCJwLT9vBk5VVRqhPhiZ2qkwK81YBYjBaClwsrYK4NHnPooKkpeJLBcaP7V8rQCTkP4m5tTUNz\n9+0yjPgeHsPwRVOaGEZ/gdIPf7zE6Euc58kur0+wdpIYly1PR0UT8ca1SA+6tZ2rqehx8KrLiau1\n/BETlNYiJgMJnpzSW4WVRTpDKv9bVpL9lDc3IKuLgGaMvjHgfxNcPgJj62Lk5/D7zQjoXEIxIzd+\nnSwFldzdzfNgxl5fZ3vpBl1nsQVP8rdr8GtmfQz2UvKBazjK+Wu1ZN+0WJIhopanoRpzfpbR2oBX\nXQJ4MXtI+dVabTAR39VuckHG5Ywo+pe+LKCVFpNJRA/C6YzgObNgnLESWnN9pHenF7lwGJqzA+aN\n3kjCfh1TV6WfuxP26wD5qKyo18PelvjrhDGV6H6uO6y6av/jbW8L1Gr9owRRPjqWJTA31xHuwcf7\n4sX4Iybano65OP6d3blZzvxK7OfKDYzDqySr1jIpwpMZtm2jUqlM+zByxfSvqgVgkkq5X2+ZrJ4/\n8VgJ4YLZLci55Xj34xq82gq0nbWhN+v161SG9OIpA2GxM2rC9yS5eLFToRU3NcVYsqouAPA8FikV\nFbCzI7C4OCjSOFrx2LbE3FwnwhOItM1NGzs70V+4UoFhOXqkQ7N3oBiHNIrd/t+bW07k4zG42CtK\nINKFmg7uh1ZaThh3REQSko6V4K1NyLmlRGrJWzgMfWcdGFDx06/fjKkp2DGHiBaFPJiT++G6wMWL\nuxO/dSQyLAshEvXuEWJw88F+p8dxgGp1UDpo9PlUqtsHFDQftG0Ry8fjSA6NSegxigCM1jrcIpqV\ne/Aqi7uztWKatakXT2aQ4NkPrbQckFXJ+SiCsRJx4e0GZC3ZrB9lVCGNKnirO/w9rN+M33ywfEs1\nz5Vna2t8z7A8Pw9YVtyhoQyMqa6eOVGREtD69EowDMBx+m+ogz4zUU+pClUKeZ7cG1kRx8fT9uJF\nd5hwoNtNuHmfmxUFrkGY89Dt7Vh3M7iEkHzkvDwiPq1WiwRPD+XbRSZEWmmmaW56iXrwSAne3o6f\nzgrhza90jZsYJfh6mw+WgWl1To5Kvd7pj1KrydiCh3MF0/S7HSeh3/kwTdbVZTmMGlDa3FvRNYjw\nx1lKtSe44kR4rJj+HaNZh1s7APD8pDHHwasuxW5CyBigc1l6j940sCyLBE8PtMoiEBY36fbAme6m\nJ0I9eKJ6hZi9A2VWB3ZWjvS8cwfArW1AuJFmgpmagidGT00vAtPunByVsGHZn4cV7/6c+xEZO+FI\nqkGCJ9yDJ0yrpVCt7hcOQkTLvIaN0r7g8X+o16OPmGh7GuaiRniUgtGqF2ZuVhS86rIf4YnZoNJv\nLloO0ZcnKKW1n3xebUtOXsYj+B6eePfh1hZkdWm8J+YaZG0ZbGcdnueBcz7UvxJlanoRyKJzclYi\nOeiwDPh+nLgBTaUUDMP34yRj/+vqbToYZnu7/4gJIaKdo3ZboFbrGJeD9+b8+dZe5dwwPMkgFYPB\no71e3dqE1CuQRnkGOypNhzDmoNnxOqrTENFsIMGzH1plEybueISsq7Tienh4e8s3LI+BUgru3AFo\nzfpedGsUw6am95LHxoOTNCePPV9NdAzLPvHOpab53p1KJd3Gg4YxuBdQqyVRq+0XPH7lWxTBIzE/\nHy5N919zs+lic3P0iwjK0aOeeqO5a1YuGUm6LvtDRCnCkzatVgu1WrGr/9KGBM8E6VdyPk1i9+ER\nHphrQVXmEz+nUspPY5kL4J4NLqPtiJUBU9OLwKR9WuOKvY0Nju2Q9zTuw5kmh21LMKYSz0mSfVom\njDpt/UrZhVCRStxtu7sXT4DnyUg+nparR05ncdcC92x41eQ+uLyyJ3hiDQimCE8WUIRnP7TKEhA3\ngjCNkvMoCMlitcDn9g5UZWH07KwBBGIHAHTDgKwdhNbciHRfvzS9eMt12j6tJKyv8z2zL2Pxjce6\n7gudcXSX6+6PVDE2Kl20/9z6winKAFEgfDkMZ7GizNRqezpqejTxbjTX4dZWCl+K3g+lV6C4Du5G\nb9pocj/Ck7OgbOEhwbOf4u0gBSMPE68HIVW8lBazdiCryaY5h6NbgL+ZifkV8GY90v1NTcLxirNB\njGtOnmZKrl7vnOdqFbDteMcSjH8YZz/vN/hz1OM5jj8CY//xRD2Qzu3Cp39ra7jg8SSDUAymFsG/\nIwWMdqOU6awAr7oEox09raVxBQYFQUNEU4XK0veTn9035yTZgMIVSHlqKhfQL6U17HVyexuyEk/w\n9Nv4g/OgqotgngNEGDVR0fNjWh4V4Runr1Ie1kjYsDw/r2BFL1TqYhzN5nmILXi2txUWFvZ7QaKe\nUilZ6N8SfDf8ubY2/AS0PD+dFeV5jPYGvMoCVNQZdAXET2ttxloABlVqpU673SYPTw8keDIiiGhw\nzsdKZWRvWu48z1CkBHPasfw7I6NbjEHWDkBrjp60rHMFIRkSF/1MiLA5uSgprDBSAhcudN6nxUXs\nNSCMAucKrpvOmxReLpyPnue1syMwP79/CGjU9yDsG/I8uef9WV1tD602a7s6alH8O0olMivnfQ31\nHp805gClwCN8kQkwacRE6lBKaz+0wlImr36dfvgenmhiijlNKKMauUla1KokWTsA3hrt42EMMHMU\n5elHnjsnR2Vzk2MrlI2oVGSsSivD6DQHHF+oh7ptD2k6GCAl9jokdxPtfWi1BGo1P/IiRCc91mq5\naDScgfdre9EMy365NoMw45n+81Zx2Mu+42MsdrVWRRNUqZUyJHj2k7x73IyhlOryn/S7COV1LlI/\npPKLjaOalrndjJzOklJCCAHOeVcKq+9t55agr70MeC6gDw/zVzQJ2+OYMxJOpcyQ4DXnuZlgFOp1\n3lX6resq1hBQ0+w0G4za5XgQ4XUzrOlgmH7nPurHsN0WWFgwsLPj7paz+5dHKRU2NmwcOrS/Z44b\nw79jNtfgLBwupVm5F6+6hMr2BTiLl0a6valJ7LjlTfNNkmBKepSy9IcffhgvvPACFhcX8alPfQqA\n7/156KGHUK/XsbKygo9+9KN7wumxxx7DiRMnwDnH3XffjWuuuSbz15Mmxb0y54yifbuX0h8rEfUw\nmd2MlM4Kb/yRzgPjkHPL4O3RaS3fx5OvJZuXJpJpETYsA77giTMANHi7TRNwnPEiE+GlEyXCA/g+\nnN4lFzVAYtsC1Wpn0w33h2o0+vt4Wq6BWgT/DvNscLcFrwxzsyIgKvPgng0mooUHTU2QhycFhBD4\nzGc+g89//vO49NJLUa/XhzbOvPHGG/Hxj3+863ePP/443vCGN+D+++/H61//ejz++OMAgPPnz+PZ\nZ5/Ffffdh4997GP43ve+l/voYy/FvjrnhCKWHgsVb3CoH+EZLHjG2fjl3AHwVgTBo0nYESu1JvFB\njNtEsgiER0oYhj9yIc6pDCq0fMEzXognbCIe1mU5TLMp942YiDpeQkpA1zv3Db/uQSmtlqujZoxW\nhGZzzR8jkbClQ+FgHF5lIXJaS2MKSjEIWfzP0DTRNA2f/vSnceedd6LZbOLxxx/Hn//5n+PBBx/E\nT37yEzQa3dfZq6++el8U6OTJk7jhhhsAADfccAOef/75vd9ff/310DQNhw4dwuHDh3Hq1KnJvLCU\noJTWGCilIKXcM+UWacMTMkbTQc8FlAD0St8/j5vKk3NL0NdfAaQY6hEydQm7NTrsPYlOy3kxJ6f9\nvBcudB5vbi5ehRbn2DMsGwZiRYb64Xlq16wMaFq0FNn2tsLioo52u5OH87xkU9PDa2h1df8wMaX8\nCq1LaiMGjUkPRquB5qVviHYQJcEvT///7L15nGTnXd77fc9ee/Xes2+aGW0jydZiLGyDg4URNorB\nYEMuYLPmhiSEEEjCDeQKLjjGJJcdBQi5xmZfjIEQm9XYBowXSdY60mik0YxmpqfX2pezve/94+3a\nuqur19k09Xw+/enuqjrnvGep8z7ntzzPxlrwhViO8kiDhHHtpayvJ1iWxbFjxzh16hS/+qu/iu/7\nPP/88zz33HPMzc3x0EMPDVy+Wq2SyWQAyGazVKvaKqRUKnHw4MH25/L5PKXS5sxirzaGhGeDWDmB\nXql6ncs1eceq06G1clsr98UIaign1XfWaKXyNlKv072NHpgWyk1p24rUyJrLupYiiARKXd0yiNb4\nhRAb2ufrBdUqFAqdfUkm2RThsW3Rjuo4jqDR2F6EJ4oEpmkgpWxHjtZDsymZnrap1+NlSwmFYQjC\n0KZWWz+90uu63vl7YaFBEMQ4ToeQN2MTy1BY60RKndoSkZd9Vbei90PkZfFKF9Z9kGmhldbajOP8\nEGuj2WzieR6JRILXve51vO51r7vaQ7rquEHiqzuPFjG4XlJYK7GpDq010lk7mcqLkyPrprUModvT\nw6vYqdWK6MH12XY+CEtLVo+7ueNsrmDZtjv1Pqa5udqffohj2aXFs/61ahiCbNbCdQ1qtYBy2adc\nDiiVfISAXM4lkRg88XZHkVSX63ezGVEo9LZZ10Ob1Hrqykpit4qVbzQYJrGdxNqgmah2TR9OSTuJ\nrdyf0uk0lWVvmXK5TDqtm1VyuRyFQqejtlgskstdX/Yow6trE+jWlYHre8LbTA2PCOoop5PnvRyF\nujKZw2isL1bmWAr/KhCe7n1+NUV1urG0QvR6s15YvUXG/QlPrASRNIiXfwZBp7JanZGDt23bgkzG\npFwOCMOV0VgduSmVfKRUZLOrtXpa0K7pOvAdx6q9XaVW1/HUNlC/YzVKSMvT2jQ3IKLEsgjhBjAs\nXL46WBlxv/322/nsZz8LwOc+9zlOnDjRfv3xxx8niiIWFxdZWFjgwIEDV3y828EwpbVBdKewDMO4\n7qrTV0LK1SmttWAEdSJXE57LlsqzXJRp626wAfYVrdb0jHvlFAhX7nO3J9irCYVC72RjGJuL8HSn\nnVqXRSwN/NgkkgaREghUWwpBSyMILCFxTIljxquijq31DLrMXNfAtgWlkiYkYSiwLNHjAdZSTfZ9\nSRiG5HIupdJqYbxGQ5JI2NTr0bK9hUkY6oPQbSIaS0EYm4P1d5TCqc7hZ3ev/ZlXOSI3i1ueZSN5\naMeM8YeE54riQx/6EKdPn6ZWq/Hwww/z4IMP8pa3vIUPfvCDfPazn2V0dJT3vOc9AExPT3PXXXfx\n/ve/H8Mw+Pqv//rr7sFvSHg2iO4U1qthwouVWLf2AIAoACXBdDZdr7NZ6ChPkXgQ4bEUjfDKBSb7\nyQ1c7+d+LczNdc6nEJtLSwnRUUJWQKBMSr6LBFxDkrAiLDNeJQEolyM+QWzQiBxcU+JZUZv4CGFg\nGFr5uB9sW5OdarWTWiqXY5JJk3K5/+ClVFQqIdmsQ7ncG7VpNGLGxhwWFxtEkcJxaAsvdhOeWmiT\nsMOBc7jpl0EI4k3asbyaoCwHadmYQW3d42AJhWK5oWITHaRDbB3f+q3f2vf17/me7+n7+gMPPMAD\nDzxwOYd0WTFMaW0CVzOFtdOT7EZvKsZyOksuT/yXs/Vet6cPDn+7lrxiKa217EFejaTH93sJj+dp\nHZ1gbYHhHliWLhhuRBbFpksUCZJWxIjrk7RD7D5kB8AQCseMSTshWTdAAiXfaT/pCyHW1OAxTUEi\n0Ut2AGo1LSDYjZWXq5SSej1c9TkpVVt/RynVtpcAmJ/vOIBXQ5u0PaB+RyncyjxBevKGEBochMjL\nbag9XXdqyWGUZ4jLhiHh2SCEEFdlwrtcBCtWWnhw5bZW7ZdfJ7YTV0RFWLkpLVQWru3B41o6pXW5\nD/+mBRSvcywtmT0dWYmEAhSmKbCswQdbARgm81WHWAqyTkDCirDNzXXbmEKRtkPSTkgjsqiGNkqt\nrbKcTpuUy6tJRxSBbfdOmv3OXxQp4litsqNodWppwtNZz9KST7MpkUr7Z6UG1O+YQQ0hIyLv+irq\nvBzYjJmoa8b4w8LlbePV9kC2UxheWRvEq+0C2kiERymFCGrEdmLHVYT7Hk8hllWX147yWIZ+Eowu\nk0DZq005eaNYWhI981EmA5mMSRDotFEm0/94+7FJsemiDMg6AWknxDTUukafg2Abkpzrg4Kyb+O6\nAt/vXV82a61KR3XD2KDnW6MRkUzaK4Iwvam9FnSnVpNaaONZ0cDvj1OZxc8MozsA0vIAgRGtr3Ew\nLFzeGbRa0ofoxY1xNx9iFWI1uC29Xa8TNhBuasciHOutRyZzmOvYTHjrKC5vNQL3alRO3igKhc6t\nYGREp7gaDbX8G+p1RTbbOR5+bFD0HfzIJO0EpJxeArDd5wMBpJ0QYoWybRrNzgpd18T344HbWHnq\n4njtD5fLPul0p3Oru9h55TZKJZ9qYOuxrQHTr2LEIVFibU2pGwqbMBN1h4XLO4KhcWh/DAnPDYpY\n6mhJP7RrV1CIOALnyn1xZCKHaFa1WNkacC1JM9rZS7dF8ODqyw1cjRqhxUV9PC1Lt5TX673WDnEs\naPqAZVLwXfzIImVFZN0A2+htX2+pI+8ELEJSLhR9p2074HkC3x+cLms0FJ7XuUak7HRqrYRSLc0f\n/X6zKfE8q/1eN5aWfOqRRWqt+h2lhtGdPoi8LNaAyG0LrQjPqyygfsXRaDSGEZ4+GBKebeB6TnP1\nEx5sdZ+1alesOEDZ3pW9cRumVl0e8DToWgp/BwnPWsXJNwrmzxWZmdHXwsQEzM3pUy6EQiodzakG\nNrMlF8cxyDqBJjrLDuGWpWg2OwRkJ3y0WogiSLiQtGLKoUMqNTiV1UKlIkkkOk2o2qZi7fNar0ft\nKE+jEZNKtQhP734sLIW4ZrRmh6MZ1IbRnT6InRRChoho8LkzBZiGIlxHo2mIwWg0Gus6pd+IGF5V\nG0Q3ubnSE+JOP/G3yiu67/8tstNK5xiGgQgbqCsY3WmPL5Eb2K21k51aN1pxcj/M1nJcWHJohIKF\nJUWlaVBumFR8m5LvEsQmthmTc32iZkQ2DaB02ERGuFZM3PAxwiZGUMdTDWS9hulXu35qGEEDI2zq\nqOEmrmfDULhmRNaNKfsm8Qa4VLUqSac7hEd3Xw0+t5VKQCJh4vuSZNJpL9d9SZyf9ck5axQrK4Vb\nnsHPTA2jOyvRTmttPMozxNYxTGn1x1CH5wZEvCw62FGR7WjNdHtpGUEdZV/5p4Q4mce59PyaYmXd\nnVpbnVeuZ+PXnYZjWAQzc4zuc5l5xSCTMZDlgFQ2ZCKo62PT6lAEXMMmrPqAQCGwPRffbyIMgcLA\ncSyaTVCiM2kJJREqRsQSVANDRigMlGUjTQdpur0MvAutczOag5mFgEg6ZNygb5t7N7o7rOJY4TiD\nl9CfsWg0fGxb3xrDULemR5FEKsHiUghhHdzVt87WZB4l8uuM7MZE5OVwqvOE6YmBn2t1at246kXb\nx5Dw9MeQ8NyAiFXHKb0V4ejXjSSCBnHyKoTmbQ8lTG1p0cfDyzK0fksoBY659eJkuLzGr9cLCkWD\niQOjjE4oQsAxAl58okQzTPDEmVHsVBJDRZhhk3RKMG05jE3oOhkA6UGU7NQLmGnwAwO5toODhowx\n4gAjCrD8CtKwkbaHtFfXHjiOQbMZkbQl1cCgtk7hsEbnmlaq1bk1WEmxWtVRnlZrupQS29aEJ4gN\n4jikUvbJpFfcOpXELV+imd87jO6sgdhNYxbOIeJwoJGqa8ZUAgdYW55iiMGo1+tDwtMHQ8JzAyKW\nYtk2QPuCtfR1pJSd1JlSVy2lBR1vrbgP4QHwLEUzNHA2qfXSTzl5q4gkNEKj3eKfsOWaheDXMgoF\ng1wOWr6ATtLh0Gt2MT4uSWTAv3SRiy+VWQoTXKqOMFuzOLTf5Pz5gHRCceSgJAoEnqMQ6MLncH1j\ncjBMpJFo+0wZoY8RNjD9KtJOEDtJDFMgpSSRMCiVNFlJOSEV36EemiTttc9/KwLYuqQ3cqpbUZ4O\n4aFtYOrHBkkrplj02b2797q0awtIy72hVZXXhTCIvAxWs0yYGlvzY64ZsxANU1rbwbCGpz+GhOcG\nRCzBYJ10ThwCAgY8iW0VK1Nn/SATOazCeeJ8fx8iz5I0I0F2E9vtjmZtxxojknCpmqAa2sskRxFJ\nQSM0SFiSkaSuN7leHvRnZwWJRIfwGEZLaVn/705PcGh6gkMAcYT/8gtUn68xEqep1PI8HyepBTam\nZWIbMcm8YqEckfIUrrXx4mVpu0jbRcQxZljDri3g5tL4TZdarcOgdMt6QClwMGOFa/bfRr2uSCZN\najVNijZ6PiqVkMlJTcKU0sXOkRRIZWCb4SoTUREHONV56uM3bXhfb1REXg67vjSQ8NiGTh8OLSa2\njmFKqz+GhGeL2MikvdPb2gkopQgjhWkM1poRwdWL7gAoL42IfO3lZa3OjXiWpOxv/Cmwuzh5O2KC\njVBwruiRcUKOjTd6DFilgopvsli3mKvaTKRCct61TXzKZajVBK7ba/zpOFqLZxVMC/fIIVzgUBbC\nSoPKyZMsvLTAXN2jnJ7m0u4pnn1R4SZdDNMg5cTk04pMIibpynVrb5RpEplZkDEZ24dmXatvUV8M\nvgAAIABJREFUC5uWKKAhIGuHlAMbU4R9u6YqFUkmY7UJz0ahu/bA8yyaTR0NbMYW3rJRaLHYK6Dn\nlmYIk2Moy93Udm5ERG4Gr3hey06sIQ4pBLhWTDM2SRkbNHMbogf1en0Y4emDIeHZBK4UwblcaE36\nEhfLEAP3xQgbyKtIeBBGW3VZZlYXObq2pFkbHH1qkcSdKk5uRoKzRY9daZ+k5WMIi25VXkNAzovJ\nujG1wGC+ZjNfsxlLRuS8aJU7/dwrRSb25q8qISoWLTwPlpb0/0LoVvBkEmq19Ze3Mx7WzbcwfTNM\nS4VaWmCfOEPzpdPM1RzKmSnKo3uYTSVJZjwM0yTpSEbSkuwyAVoThkliLEOpWsaOfQhqRF62PVGa\nhiJlh1QCm5wbrKp5bjYlU1M2rVqQzZz7paWAkRGXmZmIWEIYGyRdPfnOzTXanzObZcywQXNk34bX\nfUPDMIncNFazTDSgPtA1I/zYHGjfMcTaaDQajI+PX+1hXHMYEp4bBN0RDom5bqhYBA3kANfyKwGZ\nyGHUlvoTHlMRxqLdcdaN1sTW6sSC7RcnRxLOFV2m0wG5hBxYoyIEpF1JyvGphwZLdYvZaoKEJXEs\niVJQXqgRFyWVk49y5Cvv3vK4tovFRV1z0xIKbDmTu+76xqG1GuS6raIMgRifwDo4zqR7kMkwQM5c\nJDjzOKVTFeb8JOX8Hgqju1lIJ0lkPEzTIJeMlwnQalKYTgsuXhR4mTyyVMGuLxE7qWUyrovWY6mL\nXLN9OreE6C5c3niUtFaL2b07wcxMjSA2cMygrVtVKvlUqyHppMArXtBkR1yHxVtXCZGXw24U1yE8\nMbVw59PpNwqGKa3+GBKeVzn6tV/Hsm9XbU/qTIQNVHZw++jlhkzksBbP9g1/67C3FiBMOv2jBDtR\nr9PCTNkh48bkExtPjwgBKUeScgJiCXVfEDUalP/272l88KPYX3o3R/7De7c8pu5us62iXDZ7fK9a\nqazuYt+1EMfrfMZ2MPYfxNt/EE/BVLVEePYc/tlPU3hZMk+e8uRBFrPjZPIJLDdBypWMZ2PyyZhU\nUhAEEUrpFnPpJJGWi9UsY0R+O9qTsGPiwKDWx8G82+08irTa8kZ8vqJItguWg9jA6yqO9/2YUsln\nPFwkSuSGhcqbRORl8UoXBqa1XCtmqTlUCt4qhoSnP4aEZxPoTmldDfn/zWKt9utYCkwxIJWgFCJs\nouyr/IUxLa263CgjU6ufBr1li4mVhKcV1dkpslNumjQjgyO59c0PVyGOMJoVrEYRp7TI8+/7DSr/\n8AzZ//Kfuekdb9zymHaC7ADU64JSlxacaepoz0aubdNsKTL3Ep++hEIAmRz27Sewbz9BOgzZO3+J\n4MWXqJ19lEunkhTzeymM7Wcpn8RNeBzdF5OshcSyq+DYMImSeYygoaM9bhppe6SckLLv0Ag1AWoh\nDBWWJdrO6Ju5FIIALNdFRhJh9tpnlGaLGHub1CeufipLKQhjQRSDVLrQ17HUqmjZNQPDJHZSA9Na\njiGJpEGstPryEJvDsC29P4aE51WKtvlnn0k/VmJNaXwAIh8Ma82nryuJOJnHaBT7Ep6ELWmEvXf1\nVuoO2BGyIxVcqtjsya2uEek/YE1wRLOC4VcQoY9y07wyo5j5/p9GNBsc+uj/IH/8wJbH1H1uhRBt\ngrdZ+L4mPN1O5Jup53YcqFa1Z1Wj0RnDhp4DbBuxex/u7n24SjFaKRGeeZnmy59g7iUTf99hXqjv\nwrRTPHfG46Z9ESKKyCQlAoF0kijTxmyWMaKAyMuQcQJKvrOszKzHoy0mTCqViDjWIoIbJYpSQT00\nSJg+sSnapqIijqjML9E8ceyKprKUgqWqyWzJYqFiUaiZlOomdd/QTQim1qeKpSCIBLalyHqS0UzE\nZDZi90jIaPraKKIPE/mBaS0hdForiHoJ7BAbwzDC0x9DwnMdYLOT2nodSbrdc+3ljbCJdK6NcLJM\n5rGKM31Vlz1bUmi0PI96U3ctI9DtYrFu4dmS1BppMz3IGKO2hFld1GKJXhrpZYhSB4idJH/xm88y\n+YEfxD52gFs//KuY2+ieWHlutxNlXFoye8gOdB9iAQxet2VpJ/VstkN4tAbPJsckBGTz2HfehX3n\nXWT8Jpm4wOyn/47x1AhPPS5ZdG9lrmxguy6j6YjdoxLXtolSo5h+Fbu2RJzIkHUE5cDGIMQ2FZVK\nzMSE3SY8tr3x2b4emPgNn5FRk6aURFEMUmI1iszXc30FEncalabB2XmHVxZtLi7ZJBzJZC5iIhtx\ncCIgl4xJuRJrxbOJUtAMBaW6uUySbJ44myCWcHgq4Ni0z2QuumrkZ6NprWZsDQnPFjAkPP0xJDyv\nImzULkEX+q49KYmgcVnTWZtKB1ouynIQfhXlZXre8iyJHwliqVBy55WTYwmLNZtDo2uksqTErMxh\nlmeRbpo4O4VM5NphkqUy/P37/pRdv/X/knnXgxz9iR/clgrvSqHIbgSBAgTOeurGXSiVjFWdWB3d\nyfXPTy850tgJ41ArlUC6Lsm3TjB9UHGfdwav8TzGM+eZcfZwbvdh5sspHCNm16hiIpfBMh3MRgVh\nB6TtLNXQJiNCiBSOY7b3zdxgnieMDSo1yKUEQuhaHr8ZYjWLSNvj0qK8bF2bpbrB6UsuL805VBom\n+8YDjkwFvOmWKil3Y98bISDhKBJOxHQ+4ta9ulNtqWry0qzDXz6VwbYUd+xvcGyXf+XTXxtIa3lm\nNCxc3iKGhKc/hoRnE7iWa3Y2Y5fQbS3RDyJsIL3NSPpdXshkHqNWIF5BeAyhfbVqviLliB1JYXVj\nsW6RdmNca/WxMvwqTvEVlJMi3HWzdpVfhlLwuZOK+gc+wJ7P/AX7f/LfMv7Oh7Y8jkFEVilFrQZP\nPRVTr0vGxgxGR/VPqr9IdRtBIKhUOv+bZoesbKY8qF7XPlVBoHAcXRy8HSSTgnI5xjB0bYqxey9W\ncj+Hjx7lwPwCjecf5eITIbPZw7xQ28O5BYeUCfunHfKqTLIxD+4olUDrJXV3am3k+pAKTZiigEzK\nolQKSCYNrEYRZdjEbopqNaBSCclmN8EwB6DuC1645HJqxqXaNDky5XP/sTq78uGm0ozrYTQdM5pu\ncPfhBueXbB5/OcHnX0xy96EGt+xp7ui21kOYHMGuF9YmPFbMYmM4aW8FQ6Xl/hgSni1iO7UTO41B\n9TorIdWyr9CA+74IGqjs5GUY6dYgkyPYs6eIR/f1REiklDrPH1tk11Db3SpiCUv1PtEdpTDLl7BL\ns0RjB1AraouaAfzhnzc48jP/ivHqHEc/+gt4t9yy6e23yPV6RHZpSfHEEzFBAEoZzM0pZmd1qiKb\nNRgfNxgZEeRyrHILr9d7yUmrQ0tHaQaPT5MjPcYogkzGJAgiXFdQKm39XOjdk8vjMQgCPcCWiacc\nmyB5/wQ3oThSLlN/7jHOnhUsjR6mEkxgyDz781X2ZBcRVpZKkKG7hnojfLgW2LhmTORLvLxNoxaQ\ndSQ101ruyBIEgbaY2A7hCWM4M+dy6qLLbMni4GTAlxyts2dkZ0lOPwgB+8ZC9o2FzJYs/vFUkifO\nebzheI394xvxBdk+IjeLVzyPiCOUuXoqsg2JBCK5Ts3hEKvg+z6uOxTCXIkh4bnOsVkF4Vb9Tr8b\nv1hutxHRNdCh1QXVNhOtoZZbgFv7nbAlzcgC1pmhN4li0yLlrIjuKIW1eA4R1GhMHsV0kz26Ly/P\nGvzNH73MiV/8F+SPTXLkIx/GyG3eObtbR2iQ79f58yHPPBO1u6L0250uwkoFyuUYpRSuazA+Lhgb\nE4yMGFgWLC72Xi+tDi3PY7m2Z212oMlRtzqz/qxlqW1FeJJJg0ol6NqGJj9RpIujw7AVehKIbI7U\nfa/lVkA16pSffZyXiwlebOzjfD3PocQ8uWyTYn0XyrQQ8eCBKaAa6BRK0o6IY9gznULUlsjmRzBT\nCWZm6gSBHkOhELB//+b2T0q4ULA5NePy8pzDVC7i2G6ft95Vxr5KPQJTuYiH7ilzdsHmUyfTTOYi\n3nC8SnKD6bMtwzCIvCxWs0iYWi2SJwR4ZkwzsjZgFDvESlzPIrmXC0PCcx2gX81Ld5pjM3YJsWRw\nOisOwLCviQ6tNoRApvIYtSKRk+pJ7yRRLDX6OL1vw/pDKVisWezNBz0vWosvI6KAcPo4Ku5EMaSE\nTzxpsfDRv+COD/84e7/py5j+0f8EfZ5aNz6GtaN2Ukpeeini9Omoq+ams5wQok1o9XKCMISLFyUX\nLihME8bGHM6eVfi+oPUg2FrGcbTdxCC0yFELYagjSLYtt0V4LKvT/u04gnq9s3+maQL9c20ikSR3\n923cCRAGLJx8npdnU1hjo7w2VcBKGMwvqTXTfLEU1EILQ0DKDUHGHNlvU5krcnEBqoRYlmBiIsns\nbI0okpRKG3PzlgouFSxOz7q8OOuS9mKO7fJ5/dHa5ScVG4QQcHAiZM9ogS+8mOR3PzPCm26pcmRq\nZx8kViJM5HGqc30JD4BnRTQjc0h4htgRDAnPJnCt1PBspl5nJWI12JDPCJtXpPtks5DJUay508SZ\nKRCivd+epY07I8mOOZVXfBPLVCTtzoxuFs4jQp9w6qgmg8uEp9YU/P6nbcZ/4wMc/cyfcPR9303m\nXe/eVnGyUgqlVF8iG4aS554LOX8+7vp859rsJjvd0Ho5mvwANJsGzz2nyUkqZWAY4Lq6dsd1VY82\nTz+s5NfNpiKZNBCD9J3WgesaPSahrgtLS531bfiQ2g7jdxxmHEBKZs8sMLo3iZBQDxMUyj5RrU4i\nZWEnPUJlEMYmnhmSooHRbDIx6lBYDMhM5ZFWRBQpUimTixcr7N6d5sKFKouLa+sy+aHg/JLN2XmH\ns/MOSU9yZMrna+8tkk+tf4z8QDK/GLGwGLJUiiiWYsrVmFo9pukrgkC2CadpCjxXkE6ZZDMm4yMW\nUxM2e3c5ZDOrI4MDD50Jrz9W59BkwF8/neHsvMMbb65iX6aZInbTGMVXEFGA6uuZF1MYChAOsUMY\nEp7rDOulOdbDeg7ERuT3FOBeK5C2B0Jghg1IZLoEIFt6PCYZd2faVxfrFmPJTpjCqMxjNEqE0ze3\nI19CCF5ZMPjTT8Gtv/gdTFTOcex3fxLnNfdua9txHLejNCvJTrMpeeqpkIWFzZGdfggCAykFnmdQ\nrUqEUCwuwsKCYnRUsbQEniewN9gkoyMwYmMaPGvA86BU6qyg2/ICtsghDYOxI7s4cMDk7NkKUWER\n2VRYSRdpmcRBiC0DcrKGEApMG1yHxPQYMy9VSC4faikl1WqI51lUKgHptMPcXB0pJUIYlBsG82WL\n2ZLNxYJFsWYynY/YPx5w9+E6ueRqkhNFikvzIRdnAy5eCpiZC5mZDbg0F1KrS8bHLMZHLUbzFiM5\ni/ERi4N7XTxP4NiapKIgihVNX1KtSYrlmJOnG3ziH8qcnwmwLcFNhzxuOZrgxM1J9u9xMDYgKDWd\nj3jXlxT41Mk0f/DZPG+9s8Jo+jK0hwuDyMtjNwoEmalVb+uUltlPlWKIITaNIeHZIq6G0nKrbsUw\njOXw/uYRycHKpUbYRCUub4fWlnWFkiNYzSJxsnd8SVtSD4wdITzNSBDEguzyukSzilW4QLjr5naK\nSil47EWHL/z9Enf/3Lcxvtfj8G//KsbU7i1vtztFqYlL70kqlyNeflni+wrDaKkhb43sAESRgWWJ\ntn6O4wh8X68vCGB+XmrxN1eQSOgfx9GRnbW0dpTa+oxkmqKrPoflfVr5qa2H8FrkMTmawc2FRJEi\nrAdceGGJkm/TsLOQSGFaFkf3C579ZI1IGgQGNH2Xqq+IpWRiIsXpl+scPJDizJkGf/aPDjONHJ4t\nGc9ETOUivvRYjal8hCEUjaZkYSnixRcjZudDZudDZuY0uVlcihgbtdg9ZbN7yuHoQY83vi7Drkmb\nkZy1IWIyCEop5hcjTp9p8uwLDf7qUzP4geKeO1Pcf0+Gm2/yBm7DtuArTlQ5ecHlo5/P8WW3Xp4U\nV5gcIVE4R5CeXHXSTUNhGxI/NvGsoR7PENvDkPBsAlcrpdXa7maKk9fCuimtqEnkXDsdWt3aMyo9\nhjV7inikt1sracfMr+OcvlEU6hYjiWU12jjCnn+JaPxgO+olJXz8MYeLf/MF7v0f/449D9zGrv/2\nPoS39RbQlSnKlWRwYSHmiSdCbXVgKTIZA9PUy1WrDDQy7Ydduwwee6xXYdl1Bc3mMslrp79011az\nKSkUwLIEySSMjxsEgVqV1mo0FNYW7yjJpKBSGTyhbefr17pcWmrLURRjJx0O3jnd/kxcmGPxhUuM\nT0xy6mQR380ggxyJjEGxGJDwDKQRMTPrE0UKJSNKFy4i/RkqUcxCoPhiU1KrS8rVmGJZRwnHR+12\nmmlqwub2mxNMTzpMT9hY1uULWwghmBy3mRy3uf9eLelw4VLA5x6v8mu/PYcfSP7Jl+b4J2/Iks+u\nfeJu2eMzlo75+BMZlqom9xxu7Gi0RS43SBhhHemsLrJK2BGNyBoSng3iWukevhYxJDzXOHbS8Rt0\nSmvNFk+lMCIfabnbeJbeGfTTnlFOAmXaiGalJwqlO7UM5Drt9ushllBqWhwZa+oi5YWXiVMjyKTu\ntAoi+IO/c1Ef/R3u+l8/z5HveRsj/+b7dAXvNvZzY51Y+v8oEhSLWvTOMASJhEEmoyMkvq+oViWD\n7nearBicPt17DbgulMv675XLtz3YYiiXFZ4nmZ+PSSQEyaSB6+rlowhse2tXTv/an94xbsb8cyUa\nDd3l5fsSx+l/kZgjIxx/6xRSRtyXzaKKRZh9jgmpeP7ky9j5PNWnQg5NjjD/SszR+w4iSnMcmMrj\njqTxXBPPM0gnDdJpk5GcRcK72t+kXuyZdvjaB0d5x1eN8NJZn7/8dIl/+3+f5d670jz0lSPs3dW/\nzX4yF/H1ryvysS9mKdQs/sltlVXqzluGEITJUex6Ab8f4bEiKoHDCBsrEr/R4fv+UHRwDQwJzzWM\n7slwpxBLgWutMSPGAUqY2kfrKmJQUbZMj2FWF4i6CI9pgGtqX62BFhDroNS0SDoxtqkwKguIyCea\nPAxAzRf81iccJj74Pg488TGO/dS/IPHQ1+0I2RnUifXii3KV+nGn+0zQaCgaDQCFZSlSKQPX1bYQ\ntZpcfk+noUZGTBYXI/J5i7m53rF0R2sGRVJ0bZHethCQyShcVwsOWpbR7t7aTBAykTCoVlenSlau\nI4q0EWhL/2czqFQkyaRFsxlgGCbQv5Usn7c5c6YBwkCMjMLIKJlDScZ2HSXrxpRfPMdk1iT1D0+T\nuxiQ8W32/eIfEtcDnP27cPbtwtk7jbl7ksb0ONH0OPbUOPbkGGbq2pmEhBAcOehx5KDHN3/dOH/+\ntyV+9L+d59ZjCb7ha8b6Ep+kq/in95T466cz/OmjOR58TRnP3pmod5jIk5p/AT+3e5U/WcKKmKsn\nhnU8G0Sj0cDzrr06zGsBQ8KzTVwuefnueh3DMHbMG0qLePV/TwRNlH11xarWE1GMU6M4hYurPHhS\nrqQamFsmPEpBoWExlQ4g8nXdzvRxEAaluuC3/sLg6C/9n0wvvcCx33wfxh2v3dbdd5B+UhzDc8/F\nvPJKK8XUWy/Wr8YHdPSnUlFUKvqzjqM1d1xXYdsGc3MRUgoaDaMPqem8MChCpIequO02A8OIOXMm\nplrV75lmRDIJIyMG1SoUixLPY93CZ8ehTcy6t7MyNB9FuhNsK9YV1apk3z6LpaVgzdNmGP3r8pQS\nmgAlPNh3CDGVJDmyn0ZQI3v7KK955zjqzAv4F+dpRAn8oEbzxdM0vvgMwXyRcG6JcG4RIQTW+AjW\neB5rNI81tvwzksMay2GN5rHHR/Rr4yMY7s6oOK+HdMrknW8b5W1vyfPxTxR5+L+d5547UrzroTFG\n871ThGXCV95R4TOnknzksznefneZbGL7KRRlOcROAqtRWqW8bBkKUyiC2Fj7YW2INoZO6WtjSHg2\ngZWTzuXaxlb0dTaKQTo8Rti4qi3pGxJRNG2kl8GoLSEzE+2X007MbHXrdTyNUKfEUnaMPXeWODuF\nchIslgW/82c+d/3se5lIBxz56C9h7j24ZQK63vnVnVgRCwsdIt1/El6faAcBeJ62nqjVYjzPYHQU\nikUdBQoCtdxd1SE5lkXbFbwf8nk4dgwefTRsa+S0kEgILlxQFIs62jQ5aXDyZIjj6NRbMqnJTfew\nLUvg+6uPpW13aoo6+0yPTcRm0Sr0X+uwTUy4XLpUW/V6d2QNoFj0yeVcCgVFUSZovu5BzPvfhuk3\nyM5fwFi4iLH8GzGCHLufeHSaKDlKIF2iRkS4VCRaLBEtFQlnF2icfJFoqUi0UCRaLBAtFjESHvbk\nGNbUGM6uCZzdkzh7pnD278Y9sBt71wRiB+8Pnmvwjq8a5YE35fijjxX4gR87y9c8MMLb35LvSVUK\nAfcfr5P2JH/0uRxvf22Zscz262vC5Bh2baGv1UTC0nU8rnV5dYFeDRjaSqyNIeG5htBK5SildtQE\nsxvRgKJlETaJrStPeDZL8mRmHLN4sYfwJGyJHxnLxqib76JbaliMJCLM2iLIiDg3zVxR8JGPLHDP\nT7+HqdumOPArv4jI9vf92ex+9ju/5XLEk09G7QhNv33ofq2b9PS7VsbGDGo1RbOpP1+v67qfkye1\nEKHjCAxDt4O3oiZaZbn/+EdHFSdOGPz93wd9xQVdF2o1bQkxNxdRq8XccYfDU0+FNJsxhYImMq2u\nL8+DbFZQLq9+am/ZXKzE9uZ3vfBa36tk0mB2dvVYWr5irVPh+zFjYx6FAiwuNikWA8bGPHATyL03\nIffe1F5A1MqIxRmMhRncV54lsTgDSiHHppFHp1GjdyHHplHZ0R4mpqQkLlUIZxcJZxcILs4TzsxR\n/dyT+H/4F/gvXyAuV3EP7SFx9CDezYdJ3HKE5Ilj2BOj2zlIpJIm3/zOcR54U45f//15fuDHzvGd\n/2ySE7f0TqJ3HGiScCR/8miOr7qrzK789qLQkZfFLV3oqwWWsLSRaH6HFdVfjRgah66NIeG5RrAd\nMcHNYFDRsggbyMTmrRC2g406vHdDJnLa4sGvoVxd5Ggs6/HUApOst7mnzUhqscHpRA3r0nnC6WPM\nFAw+/hunuPsX/gV7vvo17P6pnwB76ymG9c5vdydW9zId5eTO51eSnu7fusYGxsdNCoWYKOrdjuMY\nXLigIzotQpFIaEVj1zUYGdERHtNUPQaiIyOCgwd1qm2t4Jbn6U6rREJvs9GAkycjbrvN5umnQ6RU\nhKH+KZchkzEASa2miVa307ttGzSb/drPtve9WHZPWQWdzuq/TL0ek0xaPe/rYyRYWmpQrYaa8PTZ\nmErnUOkc8sDN+jWloFHFWJzBWLyEeeYZrEf/GuE3kKPTqLFpTYbGdiFy41gjORI3H+47rrjWwH/p\nHI1TL9M8+RJzv/p7NJ5+ASOdJPXaW0ndczvp++4kccvhLUWCpiZs/v337ObRJ6s88qFZbjue4D3f\nMEE61UklH90V4NoVPvZ4lrecqGzPh0uIZUPRJV3L04WEHTHfGNbxbATDlNbaGBKeawAr63UuF9kZ\naByqFCJs6vbry9x+35qwt0zyhCDOjGNW5oncTldHxo0p+5snPIWGRdaN8YpniTMTXKik+NR//zQn\n/ud/5uA//2rGf+D7txVaWK8u6fz5gJkZ3W5eq8U0m2JNstNCd2Snm/RYlmRkxGJuLkKTg97UVxia\nLC31rsuy1HJru0IIXQNkGKKdfvI8xYEDkscek0xNDfbXCkPaqs2+r9Nqp0+H3HKLxbPPdphSq7vr\nwgW/TaAcR5BKGXheq2usX73G1r8bmliZSKlWRc9GRx0WFhp9l2s0YtJpm2o1wDAMpJQUCj7ZrEeh\n0GBursGBA5mNDUIISGaQyQxy37HO634DY/GSJkLnX8R64u8Q9QpydAo1ths5vgs5vhuVG2vP+GYq\nQfLEcZInjrdXo5TCf/kCtceeofb5p1j40B8TFUpk7n8N2S+7j+ybvwR7cnMRoLvvSHPbsSS/9dEF\n/t2PneU7vmmS++5Kt9/fPx7y4F1lPv7FLG/aplZPmBwluXAaPzvdU7xsGwpLqKEezwYwTGmtjSHh\nucrYqPnndryhWmipLPddRbw8QV7BDq2NOrz3Q5yZwLnwNMR7tDoukHVj5qs2m+laVgqW6hYH3XlE\n2OQsR/jCf/0Djn7kF7jp4W8n9y3fsqlxrcQgMtvxxIrbT662LcjnBaYpiCKo1dY342ytM5UC17WY\nn4+B/qmvSmUwcfM8he9rYcE4Bs8z2LdPceqUIp0WmGaroHj1si2X9SBQZLO6BVwpRb2uhQz37LG4\neDEimTSo1yXZrEEcdwQTwxAKBT2Z5fMGMzOynf5qNcNJuXXRz0olJp22qFZDDEMQx511pNMWCwv1\nvsv5fsTUlEeh0FzuEoMwjNudMGfPlrn33m1qV7kJ5O5DyN2HOq8FviZACzMYr5zCevxvEYGPHN+N\nnNiDnNyLnNgLbie6JITAO7QX79Bext75Vr2amXkqn/4C5U9+jgs//gju4b3kv+pN5L/6TbgH9mxo\neJ5n8O3fOMnr787wS78+y+cer/Jt754gldQnZtdIxNvvLvFnj+UI4xo3795aC7myXKSdxK4XCVO9\nxCxph9TCoR7PehimtNbGkPBsEivrJrZuULn5VM52ES3Xt/SDCBs6unMFxtHqvtlWUbZpI1OjmOU5\n4hF907ZNhWNJaoFBcoM3xbJv4piSTOklLlhHePZHfol9f/sRjj3yQ6Qf+MqtjW0Zg8is9sSKejyx\npFQ0m9qXSohljyRPkM3qCT8I1JoEKJ83iGNFoSDXjP4AVKuta7a1pNCWCsuwbUEYKhxHvz45GXPu\nXEytBpmMoFCQ2DaYpoFSkiDo1LhYVudv2zZQqtNlNj+vuPVW7eG1uCiX02ird6TzPVAuJ/y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WHS7e5S6mLr7u1JqUUWUymDWq3zPbJtgZS6pb2VctPt7pqIhaHCdTf3IOF5ujat0dBmqoYhyGYt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oz6FDSmSfrbhkBwjK2DfT0ABAKhV0Rt/82pZKbBKZWYY4AnkSXk8PhKJ05O20yfHl8wzttrNE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=[10,10])\n", "ax = fig.gca(projection='3d')\n", "X,Y = np.meshgrid(range(n),range(n))\n", "Z = np.abs(fftshift(F))**2\n", "ax.plot_surface(X, Y, Z, rstride=8, cstride=8, alpha=0.3)\n", "cset = ax.contour(X, Y, Z, zdir='z', offset=-100, cmap=cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='x', offset=-10, cmap=cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='y', offset=140, cmap=cm.coolwarm)\n", "\n", "plt.xlabel('$u$')\n", "plt.ylabel('$v$')\n", "plt.title('$|F(u,v)|^2$');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The inverse transform is illustrate below, this is the result of the FFT inverse transform of the previous transformed image. We get the original image back." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "plt.imshow(rr.real,interpolation='nearest',origin='lower',cmap=cm.gray)\n", "plt.colorbar()\n", "plt.title('$\\mathcal{F}^{-1}(F(u,v))$');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Phase and amplitude\n", "\n", "What appends if we add noise to amplitude or to phase ?" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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awWi2qCbjjNCLiaWIWFN55hOVGiQ3KU9lWF2nRhKX+PQxyCCqEn+eIQbpo0BW\nvx8jVOkggs37+CMRbIbpJcVqJkhwECuwMCmQZS4vUyXBMDnylLGIMUKOOjFSlLEwOYCVvIeX3Xu8\nQA8LeJ4h8nRQVf2lio1Bhs1udGunMQnt1w6d0g033MCUKVMYGxvj61//+lbzV8Gbp0BvieXLl7fN\n0n7WWWfRyVFEWUQdkxAtHMLuC0yCB4YetoVpaSeNTScN15OgXmpR4tSIYBOiRYQYidYEIaOFY5g4\nSYtwy2HKBJCEZAPq3SHMhkOoCXY3GDaKOKBDkJygLJuUlGlBvA4MQKgFdOg/eVBVJ9WyiG6rTjsx\ncoCQ3k6IRDfQ0Mv88/O2fPuF8YyCRMq6TgD/VFwWENPty+A/RHsodAJlvCZ0Oy29jxxjJp5nSc4B\n3T/pU1Jv2/TtL+cq1yBzAvyV73uL9lClXAP/3Si+2SbQo9tFX5+obsPxnUtL7RMKQz0ZwokY2EYT\nJ6w8W60QhDVPsvWt2owZtMIhYq3/QytmEK/bYGhno6G6EHagngupU4yYmLQIEyVKgwZRIth0ogYP\nDaI0idJDk5C+6DYGYVq09Al16JFkByYGTRpEMbCpadekDDLE4wWQ4Gj+D3F3aAK7Nr3GZDRgO4I9\nYb9g2zbsED5BlQQ9FPQLKsb+2psRwyKKQRiHTH0UKx0jTYsSaaZg00EVJ9mikgxTJ8Zsmi4pSjer\nRCMpTOpYxIga6sVGR1NNUhxG2aYw6gbuUZ8jMXCMEI0uiDrvJxyC+oA612jDIVRWtq+fKA5hNZjo\n2AxVwFS2kf1Rz+EcYBqwCWUzxMsuZEVkBIejBpLyXWygePsBZgNTgLLu68wTPPs2C2WnwnpdCvV8\nG3qfum63B0XExBOe1ssOQxHCJMpuZPQxu/EGeyFgqjqebYJhAEfj2hHXtk3R3yMnuDbIES9YFG/g\nKn3dBGShmQEjBYkW1DMG5gLbI62dKNsqpNRAEc0YhKowKwTNJIQM6GyGqEe6CdMijMNEsknYrNCM\nmISIMJp3SHI0TSKEWw77N1tUIwk6iGHQ7Q7YpmhvmNgZIUFZDsDGYFRfJJH3xKlhESPNcdgYTCPF\nFIqk6aaXpHsf1ojTSYUsh6iBKXHy2hZuZCp1TObRSw+n0UWJDH9FRd8wO23DJqH92qFTmjJlCqDK\n8x955JGsXLmSTCbjVosdHR0lnVZ35fZK9W+JbV1wiyfYgJq3rFO/iFr6TS6x5Y1kyDDq6m4szcTL\npHy+M5svAimXAAAgAElEQVQWTcYxyZZKxFDejVitRadou7ThcCJglMCQh9+EsN+7UlPPqnq4Fns6\nKsvb3ncCavSTw9NFyVUWt7qNN1qdgXpgbd+2Td93MXBy+fxZ5qLZEq9RDKUB828jxkH6IF4qWWcC\na/X/11FGQAia/zz9Oi2/d8/eoi0hkbJM2ogBQ4tVG+LdEo2XhETGfOcpRjKttx/C03fIer/Rb+qQ\nMHpEa0PLBKPiecTCaO1eRIUJnDg0Q2EsMwbhawhV/olSUhmnKcUaYSQcHQYbymbK9VwlmKBCjCoJ\n19MlBm2CBE0MUpRdT4f6uWzXUyahRxmFyr3sDwVImNygyQAhXuWnbghyGpdw1llnsdN4F7jk9wT2\nhP2CbduwIrexlCOYy1/IsokINpvJMIVRNpNhggQZRjly9AWq2SiJUoO13TPpswaxIwaDRp65xbUk\nm/BarptNZBmw1xAbbBDPKx1ivGlTMlOMkuHAibU0wtCKQvQ11LPQA9EXUM/GLCh2pMlUSrSM6yjG\nv8UoGfLWELENLbDUHHshQ2nM9hsqeSFDU98yYmeexyMRBTxv1gsoGzRL/xctVRNl4+bhESQbZWde\n0hesCXwINZiaWKz2K+DZxySKgIVR9mTU1864Pn5d663+b015vdbqfuZQNuY1fSyxGwW9v3ZiG/9P\nLxNtrnjbDsXTa00HjMVggtVSNiS6WvdFogpDKK9WHCKb1PfXFnYrYh2rYYQhOqH7Z0FtKsRHccOo\nTlKHOzeAMweqnVG6Xm2QmqHs1Ai99FfW0oiEaYUMmoappTbXsJ6fYYYtOsNlItisph+Al+lhVL8z\nbQyWshATixzD7vtzlCkUyJJhlARVHXQcpUyK2aykQA9VOjiAVbzMXEbJkKJMgSxVEsxmJQkmXE/b\nGvoZppc19GNjcAVF1nM3KcpkGGWIPLP57M7bsElov95UA2ZZFrWaCtLXajWee+45ZsyYwRFHHMFj\njz0GqMk4Fy5cCKh5r5588kmazSYjIyNs2LCBAw44YIc64xcqu8fXLlV5wXVQpUrCFd0nmMAmwjgp\nV21jYzChn656PMxEZxSj2XJDSpZ+6bsCbfme9nRerpZLQl8+EXijG0+jJSG4+Da+Z/V/aSOORzLS\nqIc2i6cNMLfYXo6Pb7lov2QbMWxyLjk8w+hvT46ZZOs+S5jA/x08AieaNP++fvF+EmXo/Ov9x/IT\nuIhvez+hk89CPIW71HznktxiufTR1iFgfb1CTWUga0lPx9c01G/rRDyyZkfU/dYiTD2uQjpCfKpJ\n79Ewmi0StronI/pelHtUwoyKHEXcEaRJ3dV/iQIMlIdLEkRkwCDekQRVTOpaU9bEdMmYF8KU/7uE\nyC787QAKhQKLFy/m8ssv54orruCRRx4B1GTIV1xxBWeffTavvvpq2z4PPvggX/7yl1m0aBHLli3b\n9XN6E7yd9gtgiDx1TGJY+h6oU6CHJgYJJuigShZF8LoKDUJNyDGM0WwxZOQZJUOoCWtzU1lNP2VS\nlI0UxYE4lhlT4ciIQcJWL8qxbNTViJFUIm7bp5kMFSBllYlrcmHa6p4cMvOMzYhCEoa700RsfW+J\n5EFkECUUOZHnLY/ytM9APYsSNpTQmqU/5/T/Jp5kAL1PRbc5jKcZ88spRPKwWq8fwRvwdtM+6NXh\nu4htKxsFyvaIF20cTwu7zrefDOhE0oDufw5voCzHHEERxGG1zmh617iSD3u6MbG1kowQoS3BJmLj\n2fUaxEVaoXVwIZFfZFWYuGtdA4rK/tQxyVLQx1bJQFNHxumtbCRJxdWJSQJaniF6KJBhlDxDiHa1\nh01kGKVAD7a+J4Wg9bOGLAWyFEjo+1QNJJX+WrRgEk40sLUW7XV6GcYiRoKqq2HNUmA2qwDYRJaY\nHmQOsbUHeoewh+zXO4k37WKpVOKWW24hFAph2zbve9/7OOSQQ5g9eza33XYbS5YsYerUqSxatAh4\n41L9bwYRMvsFx4pwdWjhfcI1bG26Cc3aBRYxIto9UzZTpKwy1WScVEk9aabot0QomfQE2JIFR61F\n1Bcms6PKMxZCayiEXOBtg2T+CMnQOgzXqyTERLIBxQCAZxAkC1DIiN8rJQZByJv/1zN8ywXikfLr\nraQ/EjoQbx96uy69rOLrr//4fk+Yn/zJiFjakzZMFM3P4xlZIV0lX/sC8ejJeYhHUHRv+PaXfuv+\nRbWHT0IE8RH1vdatfnPJDotaikSnSg0ss0G8XqcWaxCjgdH0SBsoUXTEBtNqUE6jdRg2lqn0OeLF\nEl0iQEwniSSYcP+LuL5Myh1ddlCljomJhYWp1UHqs+wDENVkDXCPsUvYQwbJMAw+85nP0N/fT61W\n46qrruKQQw5hxowZfOUrX+Guu+5q2/6tZhruDN5O+wXQyzAZRt3wo01Ev7AiWsO3mYHiBpVxK0Lv\nHMRfhMzCUWKoZKACPUyQwMB2tTzSrm0Y7DdSwkiXSVSULmC4O0Gjq0Y1Gce06pBuudrI5OoWxQPj\nxIizmn5sIvSzmo7xBhv7OpVmsVtr0Zo1T5MltiPr+z4P9fw9iyIk4Ekncij9ll+vKYSjD4+sjQAH\n622FvJTxBP7P49nUZ4GP4WVHCtFBL8srW54qNbzBrN+WSpamaElFg+onmTKgLOARyZxvH5FXaDsU\nTUL0JbVdcl3LI45y/kP6mBYqu9KGSi5MqNRS7x3R+r6I52F7FhXijaCIokRSBiH+Kux3WEmRyTRE\nRxoQVzqQeBHs/joHVNcz3K0utmlbDBp91Ilh0CSr9dIRbF6n7EaXLEw3AzKlqD5ZNrkDwB4KpOwy\nzxqHaU9ZhoImUlk2sYks/azR2q5RVjIblSRn0cswx/IkZVJYHEtda8rKpJjLy+wS3gWEamfxpqeU\ny+W45ZZbtlre2dnJ1772tW3us71S/W+GGnGqdLhuetHCqJfWZvc7WhcGUCdGDIs6JgnXK6F8ZjIC\nlfRugA25NClLiRnHslFitQbVpMqETFhVFZLSLUfsFtW0ShM2bKgkwySbLfcBbyS1ERWPjYl6eHrx\nSILfWMDWpSWE0PhLRQgBELIk4dAu2rOD/G00aA9dSrsjvrbEgAmJ02naNFEhQPAE71tCQoRi2PxE\nT4xlka1LRsi263x98peMkGwpf8gy4tsOvHCEZFWKwF+OBd7I3VCZYNEa7u9kWmqZJB40kp7APl4B\nJwXxTTCWj2I0bWK1FvGRFrWcIubldJSu4QYxs0E9HiVZahEza4yku90QYpYCkunmL5MiIXHxyprU\n2xJKlIas7BIyS2vD5MVdJUGIlit4fUvYQwYsk8m4gvZ4PM706dMpFoscfPDB29x+e5mGc+bM2e19\nezvtFyiphISflXezqktRqN/UxqCaDLPJzNITL5C0lXeDSI1MpYSRtBXh135T8TZUSdDHIAY2w+RI\npcvYEYPN3TESlZryKqRVFmbVTNB/4BpSlXHXyzJBghZxXifv6ggP5kXXjo6Qo5MyGwbS9BZLhAZQ\nnimBEBOxcznaSzaIt0vE7H0oQiFZynE8siGDU78NEvhlCqavXQl7in0ST/8QlAc6iZfG1f5+0hTH\nE+j7w4sz9H8JIYrdzONlUHaj7Iv2ejEALNPncwyKPM3BJVqAZ8tkINz0MuSTQy2QxCCxv2If/YkF\nQljF8ybJBWIXR/Q1gbakrnXdU92Q4pCRZ4QcOUaIIZmNERJMuHZKbNIoGWI6JDmXv2DQdEOOC4qv\nKK9cHvoYpEAPg/SR0y8Vc4sBpXjV5BkwaJKi7OrJDK1z9Ee4dgr7IgF7OxHV6u4Mo653QDH4TW4Y\nRm4y8RDIiy5C1XXzx3weskxp3M0YitjKHZ8stagl1aipaSjNT1MTgmSp5tYCC41AMtlyb/LkOq1C\n11ctKq5qMShbZiyC54XK4qVri5dHjM2WZEZIkmwnIzbJ8gFvdAreCE3atHxtybbi8fKTI2gnc/4Q\nn2xj+9rwk01/DTK/J1C8YJINKeJ90XVJerBcl4jvv9yNW4YsxFBvGR71EzWfPqDRpbIbHd1mqKmX\n6esRtbwaYQ1Tdy0XpmO8QTkdJ1ZT2UsqCymM0bRx4koPFqs1GMuq+ylll92acnWt6ZKaOVJmwF/L\nRwTVyssbc7Vf46TcvktoUkqwiKHcTIYIdlvG5E7jbdBQjIyMsHbt2jckU7sj03BvhSqDo2qAgSLg\nvQzTQZUEE5TpZNhUjCNZatHogmyp5N7Xpm1RTYbpoEqeIUW2KJPT7iYh7WUzRcKukirViFpwmPWi\nqkel9TsutCclVyriJEv0R9YwRJ5e3V7KKrPSnI1JnQ6qpKyy8hSLB7yGR3oG9PNiQ0j0WUU8T754\nxIVQiRdfPGhp3/ci7d4xkTBICDCC8rbpkJz73M9CZRBmwZmnBlapiiJfGwdUvbJkqeXa1ka3znZ/\noubJN0q+tprqvFiNF9WYg0cC5a+CRxolJOrPyhTCF9ftPau2DdV8WangZbmLROMVfc6zoDENoq/r\n48/w+h9djaoZNidMcqhFJR/2yldEYCIeZ+bIRv6/3DwOqrwISciyiQkS6jfVzokh8mRQXtZB+ujw\nRY4OYBUGTYbIM8AaVtNPNRkmQYu5vKw1Xz3MZhUmFh2+SgOqnMo0d6CRZ6iNZDla6SRkTcpi7DQm\noQZsryJgYRy3homkXcfADTkqjc2ES74sVBiojknCrtI0vHi7gY1pW9gRRbTK6SiWqQlU0ws/RjXB\ncS9EU72wo36hN3guaIE8dN14RGfL4qEiVBey45fvCCHxZ+SK5spfNgLfd782SkaIlS32l5tUwobi\nXRIjmPVt789ElPCkPxkAX3tbEh0hUX6k2broq4jwZeTsD6/6jZc/tOrXrZm+9qQP/uSHCC6pFU2f\nHQE7p2vyABNp5emUMLMiVV6hVScawg4Z2BFVBkUIe1WXmjBti3JaF2E1DZ2Z6xVTlYGAEC01Muxs\n02SIRsxfQBhUuLyMym6ro4u8aj2HDCKkDliEKoW2H3AnsYef9lqtxq233soFF1xAPB5/8x0mIcSz\nKXZMCJTy0nslKDqoUszFGSVDX2kDJFUNKAlvy3Z1TEZ0ViWo+6VKgtmVV5U3RROEEDC1NM5LAzNJ\nUWbq6nH1nORUSD46AuznkEmpAYJFDDuiQuyY6BDUOMlXWt7AD7znaxjoUwMboN2LI9sJEcvRLpfI\noYiG3BJSI7CIp4mVTEnUcfgr3MGsk9T6KLEPBwJZz6stXj7TttT5+AqxRi3otmpeVqbYO38Zn5Lu\n0ziKlIknTDz3eTxPWl4di2moSIf0S1+TxoAe6GmSNdYbpWok2C9SUslfFd8+YhPVjUK0W/dhDDdr\nXCIsTlbZI2ugqbRYuQgpyvTGS4RoUUmrDNbRZBqTOr3FEpYJq5KzyDFCqjLOpmQWSLmFnpWEQiUN\nKSmPijBJ0dZNZpaUWWYaQ4zoAqwZ7dVNUWYN/WR9pVVMLJq+AaeSSygtrIQ3eyi4CQI7jb2Krewe\n7FWn5K8PUqBHC/osRsnQqV9KgOsBEw+EhBSbSYNUZZzRpKoYbTRtqsk4w8kUPZYSMMaLLY9EyIhG\nky4nDhTBySsPWNSvYbDwQoBSa0bcxKAepF68WjmS8iyky1/93l9c1P8LyMhT9vGTHb/2SoybjA5F\nqC4ep3HadRjQnqXkN0KgiFQvXoVqPynzh0zlv3jthAD6My2FkEqf0njGVbxjfi2a35MlhFb6JNdL\nvGXyG2y5nx5JNrXRsiNhEpUW5bSEFJVnNdRUI3jRzVimImlhw4EoVJNxJbDXdeK6LPV/Y05Vujbi\ntm7fwDYi5EpFt0r+qJlxyZWM/mLU8SrdG+6oVMT5oEJDPaxhmF4Mmu6LW/avu8JWpQ3LurHsXcAu\nPu07ki5u2zbf+ta3OP744znyyCPfsL2dyTR8t0EKV4rXqpcRlXFYa1GPq/ukk7Lr5UwxrshRBJd8\njdDLKBlyDLvJG8P0kmeIIfKkKPNycg59yUESlRr1eJSuoQbUVPHM2ax0X+y1nDfYJKxsZ4oyPbay\nh+V0nAHWkLFGXTLGi6hnLI3yxuiBlRNXz0w5qZ4HO6JqJTpZtTw+iNJvyXMvNtHA8zANoMjYs3r9\noahBmXjwTTzCU9KfwbOJeTz7JtKJce/6RUd8289Tet7kiy3P+y+a1RnKK25HlI6KCIr4DeF58J7V\ny+fged8XqradOVpTKoVfB1TSTznZiUGT7nnCYCFTKVGT8KN4vMQTJ7XA4sD/6O/deIVk8+oYoQpM\nTY9T64ORpMmBg2tBJ4sly3WcRouEOeGSq1AJjG44qPgq5XSUoeR+rpxH1SCMMEXXqUvo8Laqq6k0\nppIQpCrg191BYkpX1q/qjle1OH82qxhimvbSW1pCpPRgacaIYPucK7toiPYqtrJ7sFedUkM5azFo\nkmEUqQzeQdXNagS06LmTuqGM04SZIBVRuot6UnkRNhsZbEONRP0F7HQDypWunQlNn7TGHlD/TUsZ\nlpAQDROvDha0i+OFIBTxptsAjyT5PWBCfGSdFDsFj9SI61+239LbIx4iCXuO014cVQTwfh1aE7Z6\nd0uI0cSbPkQiQQaet8rvaRNiVvO1Y/u+S/hArouQMX94Uarl13ztCcHyZ0tK6FS2kWNJhf4twqLR\nMb1O/1BCpKJF5cr3T08UqqiXRyUdJmqEXEG+e0oR9VePR8lofYnRbFGPR2kaBgZNRtOdmLaFZZju\nPSqDBFXXvsPVA8koUera5SsbWJOciYHt1uAB3BeuClcqD5vUG9tyuqOdxi7uuiPp4t///vfZf//9\nOfXUU99024ULF3LHHXdw+umnUywWdzrTcG+G3zPfV9pAdAw29KXJ1kqUzRSbyVAlQZ4hmhikbIux\nWaoQ9KiZYRNZCvRo2UWEqtbDZtnk3lsTJMgxjE2E0aTStDa6YLSvkxzDTJBQYu8XoT4jSny1vq/r\nEEnaroannI67Av8Os0rZNNlvdUmRFBksGSibVlLPTF3PKCFFi2WAWo9Hidca3oDvYLzC0pKAJLZQ\nBqlpvAKuBqoUTq9eNkMd39GZzHHZ168ZHcIbqJVUSBcR01uaEJkpks2SshOSQJBVv4k368S4Mtkj\n+thi7yXLPIdKJJIxgkQ3Sr7tK2CYMHVkXNmw59Vxmn0GXaUGjaRO/NIDaCcOoUHddgGvqr+/yDS0\nSy5QBA+0V/BFCOWAHkUG+xhkiGnk7SFVXkSHTruaDYZyygZl2USdGHmGyFJwp8qSQaGQrgyjaoos\nUxHIvuSge0+O6nIqWQpU9X8pwiqJIv4kugkt0pfirbucSBSEIPc81BQMnhgZwF8rqUCPW09EjF2C\nCT3FkOHqwGTiBIG8OBORmptGLLXBRJBtWp44u5rUc3SJ9ymKeuAlAiReGBGZ+sN/4HmPhJz4Q4Z+\ngbmNRyrEe+QnRrZvXwsvFOevHC+jOtFYCekR+I/pD2H6vWqiXZN+S9/8GjU5nmwv3i8hk/6wqRhG\n6YcYTgnLynLLt0yIl4QyJEtzCK+qtbQjxxJjJSPupiJiDZ2SHtHtRi1FwGpJHbJAbZMstXBSjgpx\nmFLtvoUdUS+YjnEVuhSNoNHUBMswMG0vphyxbQzDdj1b/jpgkpVr6to5BrY735uIteVe76TMuK41\npvZNEaWBiPn3Rrz00ks8/vjjzJgxgyuvvJJQKMQ555xDvV7nRz/6EWNjY9x000309/dz9dVXv+VM\nw70Zqgr+X9RcnjYU++IMkSeWttwX1+vardPPGgYNNS1MX24dBXpYo0tPSIYtKE1sj1VghXmQu68S\nRat7KWZa2BF1D/UxyCgZhpL7kZ+3ga5XG97UOtMgXyyyrnsqVaODUTK6vIHyzKbssvds+e2B6MDS\nkEo21Kwhedypb4igPHAyIBSBvJSMkLpeUiNMRPsSYRA91ADegFSvW929HxlGiSdrbr8a02AoPVVl\nGK7T+0nos4jyGsWVzY9heYNK2cbwkmMMmuqZF3lKDmVvSnjlNgb1MXREY8OcNGVSHMB6NUDXHrPo\nGLzW102+WCSkMy+7h1S/o2NQ6EuzX64Etg6p6qQmZ5baP3So7qf/GgIcrBKEuoYblLXGZai7m+n5\noiolYnQwxEzXPgwafcwvvNpWrkME93leJ8cII+RYQ78rqhed4ihT3FkRDFNfoyZuKYppDLGGflKU\nXU+vJIrIn5qlJkHeHiJVarC2u+bLELfIM7StR2efxF5FwCTzK0bdzfiSUb/UTDKxdHaYKk0hYR95\nycmLa8uilolajZgW+Uc10UqWWu58gXYkDJaahka9rJU7vmEqDwrQrlcSwbkOH7ghMf/oZUt9F3hk\nTQibECC/xkFGhH7iJW2IEfGPkKRqv7QT97UjkJHmlmTMr+nwH8vwtQceMZQaPeKlE0+X38uF77uF\nqtBt+b77IdfAnzzgv74i2pd1/qwof+gyIjMWKETHlNFKlRpum3ZS/86RFk7SI2XRFlSyXt2vejxK\nx3gDO6KmYonVGq4+BxT5SlRUyj9or5Uh2beqKKs3CbdXHliE+JbWSxgYboFh2Uq8aOIJU8WIw/pS\nNXfdfQ977Gk/8MADuf/++7e57qijjtrm8reSabi3Q7yc5bTM4akyy+SFVdY6nDKdbNbTVskctmVd\nz7BAlhUchKW9FYOmNy9fhlHXUybZZhljtE03ZmArr5Td8J7VMpT7om6WeQ8FhsiTYII19JMxRknl\n1xLye6BlwFMB8jrsZmt9paEKoNpEmFoYb6tIX+tT20QiEEqi7ORqPBsimZR9eDKFATzBvx749ZU2\nYEc877UMclOUPZsm7YptK6q2utY1wGp4RVl1KY3KjDAGTTVo0mHfZLHWLv8QyHUQTbnp6fqqyTDJ\ndItKVhVKnVKskSvpl4V+D1SyYTUfsW0pj9IsTaZe1XZJ1y2kAo2c57Uq5lXZpJF0tyu1aSTVQKxD\nZ9aOzSjTVWgwllPvPwn5GdjugNVJqzpvQ+Rd71Vd6whBedozbGaIPO/R5SE6Kbua1iodGGklohDS\nlaDKJn0/e/e8N3/tIH2qLI9Rxuq2cQijaoYVMKkz4sZddxJ7FVvZPdirTklG+oCeTtsrKyGp/ZZ+\nMUldJK8Ehaq5FGPLEGaEVGWcejyqw0zeJM2VtPKAqcmZW8rVXfE97EVULTBoqwPjjhIlHCheMD8p\nErIhxEautIQuBWKQwPNwyectISTNN3eYW/Kijqdx8HumoL2465YJAf45IWX6DiFx/tAnvjZFbC9h\nCmgPjfrDplm93YCvfQOl3ZCMJ+mTtN+JF/4ETwcioUdU+47OMnI9heBqLRpdylvV1OGPqCXlKBT5\nAu8+cMJK1yVaMfC8o6lSQ2WlaUJmR8Jqyo1kws22FXe7P/tWvLNy36oJ4hNk2OyK7S1dp0dqiElb\n4Bk0+S8ETu7/XcJe9bRPTvSz2h3tW4ZJyiozZOZdr1aKMqvpJ4UmF+kIWTYxQi+9DDNCjtmMIAUv\n1Tx8vW5Yp581OkPydVKUGWQGeer6ZZ1g+lCRVLbMoKlCi65XXtuMqpFw7aqBzVz7ZYaNXhUytQYJ\nDaG8SuJ98YfkNEHZeGAnPcVxiECqVPMmrhevdQniUonfr7sawRtArkY911KUNYSqqC8lHyLqezSi\nbbD2CDlJNbjqXl3z6nqhjyv6L/GWQ3shVpkAu9Aiidq/eGhcEddkzfXkO2ldkV4GllJU9gClB5Vi\nycl1LYirRIZkSRG4SBp1DXU9RztiMHVonA35NLZhEOsqUjUSdNn6B5F+JnWiRBzGZkSZUqyxuTtO\njDqpUoPN3QZr0vtTJ0aWghqoNW2KuThhPUATrWiPXVAlkiJqxpf9aiWG88MkmGCQPixMnY2YdcOG\ndUzGSZFniKUcASiSG8F2Q+Emlqsh87+fY9RZQz99DLrbCDKlcUJpT7895CuDstOYhPZrrzqlBlE3\nbiwEa1vFV0VvIx6uhF2laiRIMEGdGB36zS0CVT9MC5do0WyBrR7qpqFHdZowud4UCQfK56zvs7/c\ng3i/ZGJaEZTLKA3fNpKR48/484fdwPMMSftCTMZ9J5PEK/cgEK+VhPX8BMfvkZNthCiKTsOfmSPb\nC+nza9sqvu2k336vm3jJ5Jr6jXoFr9ijhCXFiyj9Fg+chCbl+kmYlfbppMD7Df0TZ5fTqtOJirbU\nppcdWY+rdO56MqTKScRxy0pEbJtCWhmSGCrE0zQMIrbtkv4Rcjqtu+7WUYpoMiYjUjE2on+YIIEq\ntFrVhnAzI7rkhLpssa20XlEabsaSX6S/05iEGoq9DRFs8ryuyiGMqFIB2YFN7jqRTMxmJREbV6ws\n5QFm6xedRABSlDGx6NR14GwMcgwzdWgcs9eihwJdrygvVzZShCIkKy0yc0b1Pd3wvNH6OZFM3ZRV\nxjJjbv3EWE1ruvIogiTP6SDKU6Vt1GhfhqmVcahBNK5KuCRoEVqNVwxV7JjUGUzqNsQmSuHWJMo2\nZFAEyu8RlwKqUkOwBKG4KqwclzYlM1Eq6hdQGYRSn0vsr9gnSx2ncSBE02BaOopSgY1/pTSdXcMN\nN/MwVEEVV9VkcQ39brCtOqeDWUMbKKdV8duYDmNGm1Cbp+yMZZgQaWARU+QnrbSgqQFVRDdU8dWT\nLKrz7+hquDNxVOng5W415Y8M0CSLtWymsDFIY7tOCJuItlMNnAgMD6T1dEWmLoOSch0UoM5nnBRN\nDF5mLnN5GZM6Uxh1Ez+qdLieV1Besxh1DuNZNylEecsSrocuwQQpq0zEhoi2X+JB22Ud6yS0X3sV\nAQP14xboccM4GUZ14QnlMu2gSoGe9lIAhuESNsD1MAwnVXG6zcmYdhnb2BFDjxxibQRNPBz1bNj1\nhpg5L3MuEoOQeJD8dV90CMyJ64dVQmf+TD8RkwvZ6kIZKr9wHr2uE8/D5dd6CRnyayf8XrKYXjaO\nVzfHr0uTkawQLr9uTAiOv3SEkD3x9PkzHf0aMZmPTQjdOO2Zk/ja82c2CvkU76FAZgLw69gMPKMt\n4U0P6UwAACAASURBVEghgxUI6ZCtnVZGL14CIsoYGska8YryjIEm3pYy4omKqgcXRmk1KllV5yte\nUunj2VLJDUFKhfGyqUSrCbtKzLCQSYdEiCpeME/DpTxWMlrs1BlC4h2ro6pRF8ji1bHzCg3bRAjT\ncsPvu1zEEPbCp33yQTJeh80cdl/EnQmhToxhnd0oL7LV3fsxQYJB+pSngzLD5OhjUIUwdXHeDu25\nkGr6EWxqejBjNG2cHGzqVtl3cVS9q4RdpWykqOTqKus3q+Z7VP2pulNr1THdPv0lPYvZkVeJ11DZ\niaJ5jeBlJhrQX1qvsiKzyj6uMfvJmKPkF6rwW8hnU17LdTN9ddHzhI+g7EAeOA7PhnXiZY5L5mQE\nZU/m6HpYgyjvmthFIXcyXZHgWbxQ5mq8rEIJQw542tDkKy23fISNKjWD1cBJ64G62O0WrB2YSpUE\ndWK8zHtYyP/j1fx+jDKFXnOYpmnQW9lIZAYMJZV2zbQtaroQLuAWK82aBUbNGJnkqEoeGEPZuzlK\n35Zggqkj45RzXmhaQn5DTKOXEQbpI8/r1MgxRN5NwIjYNpYJo0lFvlZxAAZqtg4lbVDzPw4xTQv3\nFYnqoMpzHEye193wo43BX5irxfZqbtMB7YUV4jVMjoNYwSpmM0gfc3lZzWBjJjCa44R1IWk1TVeM\nzl0V4U9C+7VXnVKLkEukvDn2PLdNXeu8IjoG7p/LqoNqW5jSz7JlZGBrX3nVVA9RqlnDaNpt80TG\nai0mOg1XEybelVYIwlKPRiBeGv9V9OuoJCzpn2Ta70WD9rCl1AAz8MovSNuGb7stQ5wRFIuQbfx9\n9Gul/J48fPvLMiGWlm+dkEnxpgnkXGSdn5SBV+snAkhkz0+opA2/zi2yxXbiCZPQpb8chb+wrH4Z\nGE1tWG1veilT67xMC12WokG0qTxkFi23DIUTV4SsmgxTS7cwmraeQ9R2SbrUBUtYVZeI+SFkS7xY\nTQy3GKJowybavF2eSlam4ZKaYkPkkbkgZVbBJjITxC5ir3raJycmSFAg6+poJJSoNF/KoyovrhF6\nsYix2aelAVytjswbOqEL/IrGNWONYkfaCwcbNJWX9xVgDjTz6h4bNTNYZlWF7JIwUNygCFJTpuwq\nY5uG2zdTBjfiORfJBbjZhTJFW8gCupUXL2ONesRLZr8wYHql6NmWdSi7YOBNOyT1tkRKEUF5nMRG\n6urwoo1yB6cyc8cQXvhRipz6Pez+otgRlC0Z1NmDUs2/BtEcZFEDLicNm7vjSkCPOj4N9duKt1DC\nzDYRd27PBBNq0J/0yjZkmqPU41Fml9ZSTSf0PkZbyQc3MSiuvfeoLOtXcvuj0sqaWrelyLxEf/w1\nBat08LomYZZhunpncUYo71QTmZuyh02MkON18mQpkKLMJnoo08kAa6iSoEAPPbrshNShE5unJBMR\ndxAZwaZDT8g9jSFMq86omdE/YSermE1MSzF2eUaPSWi/9qpT8md6+T1aVTro0ROEinjQ70VQo0cv\nNuefg08IXB2TWK2BHQmTqo1TTnbqiujKC6KqnLeY6Iy6mW+hghJsJgvKm+KgPV2+2l9OWn0PiYfI\nLYWAF3LUlYzdZXLVt/R0iWdLCIffwyVGTAyXP6wwjppLbQgvzCfp2H6IMZXjiZdOQop+T9cYnqDV\nL7SXtv36MvEGjtEWInTbmkmbPoQaysAKcfMTMH9WqBBCyb5kiz6Id7BLTz/kE+tHi2qi3ESl5U4n\nJBqvRtKrBRbSxrqmSZrRbOkQpfagNVuUzZRb5d6giWWK9ypGTBcaVDouqX4fcWX1HVQZJ+VquSTl\nWz6DR9wmdD2eAll3ChuVVRRzjdaorxzLTmOvetonJ2wMNtHDJnro0S9m/3y1Ej6SUIyQqiGm+TQ3\n6oW5SVcMV5Mp264npGommDo0TiUbpvulGk5OhdLir+A+TxFbhcxnFDe6GbxUIfQXcBZCaKkiIclk\ni1iuyHSrSDEX9/RLYrvAI0pZFMETGzIELITpI0Vl40BVb++D6At4+i9/JrXYJyl500SVwBEPuXiq\n/LrQom9/E2+KpLz+/rw+lpCxeXrdH3R/Df1dku/Ek17AFexTgagNdkTphE2rDhYUB+J0/6kGOcjb\nQ6wwDsKgSS8jbiZ+mRS9lfWUk51ueHfAXoPRtEmOtGh0tSik0262aT+rVRiyVFPXSchgBeKvwKzk\nBopz4u676wBrlQ439jJCTlMoG0nuMXTYW5wQCatKIdnt2o+s1nkVyNKr9YWgMmk3kSXDqFuaJM+Q\nrgmWcCfjHmCNex/75zYVIik1CiWTMmLbVE1V4HVNcibQxXMc7B57l8tQTEL7tVedUpiWmxUm4ZwJ\nEvQyokcM46TssqpIjnL3DienKteoNjiSATTFHnWz1uyIgdkse7ovUHOHaf1XvAgYLRpJVTXfrVYc\nQc3hBRCD0AY8UqEJUUhIj7+mlbjP/XW9ttRfgUc8hEgkafdeSfHUv9AeHszjET3xVqVoF8Sjt5lG\nu/ECz8sm3i5/+Qf/tpKNmdRtZbdY7y97IR4zXf6hTRPWwiOPktkopEo8fdKmFKrFt16uiT804S8A\na+EK6620IlJKD9aiaaArfjfcRIxQU+nGqskwhtkibIaoRtSBxNsVqzXaasf5K9UbvpekaL2kYLCM\nWIVcjeswkngYlA4o5ZI3/7yPohGSLEmBhAMkU3KXMQk1FHsbJLyoyLoi24P06dI5m+nR+YsGNgWy\npCizkgN02DGifZ2qcrhMZyThHknUMG0LbJQIvATNaUpY7g70itAVaRDLbVSzeqzTnZOi06K91HMl\nRgfV/+5Xat6UX6LhfFVvJ8VJJZlHnnnRZwlyuh6fr4RF5ZgwyV+3PK+WhZfJLRqtFp7+a0T/F3vT\nhee98pf9kdCj1ANbhyqaWgFeQhE1vxdPsiuFqGXxJt3W25iWsguxWosNA2k1WDJV/2K1BoeyjKXJ\nw7Ex6CmOK62WqTKnldZKVdSyDU00TDUAzFRKjCbT2gOu7EVUe/fkka7kwyRR2fcq5DiFPEOMmhkK\n9OgMx6YOTU+43jiHsPtZPOR+zZiQf1CFev1yhjz1/5+9d4+T4yzvfL/dVd3V0z09PdM96pHGHqEr\nluUrYGIuTmwnBHCWBfuEFcHBwTlxuIbDms0nDnvCxR/CghMTc3EwWeAEEnMSfAh2IAuBZLGdsOES\nYyuxLdlItoVGtDSj6VGP+jJ9q+7zx/M+7/v22FlsOSZaLe/no8+oq6urq6qrnvq9v+f3/B7r0VVm\nkQob7ORS7SLSpvynwqzHYsmkMcsqVaZZpMxL+ZqVXuSbDeJcQIM8ETFn8H0WzUU00irrqYxTMH6d\nVAAMsG07pEkopkGxEyZXgln7A9ZyBZk1xjGtIGuN41SIqABsrNGjmxFRY9s8oNX5PmFmjNZuQtkc\nfcj7lYNalq3thvyKQH3tgYIRWwld1/fi8k1e9fP+d5Zws8MJnDBVn8Gxt10FOQpMOgj4ihk1fvWt\nHpRBW2vroCkIvHOh36/7q/5kerw57/2O9705XCsi1Z354ExBp37erwpVwKkPC90nBX0eyFVQpY23\nQ5OC7Ac+IJOqyDgSyj8dSHDsjiXJr8iPGPRFJ6hArB8EVk8Dzp1edsNU2dr2MzXr0yM/j2vLoeBJ\nnci7BmhpCkMYkZD+migzRosUPcvm/iQFeXKPPNK6BWCRGaY7VWrRJDWmmOQYLVwVolpSTHKMSWoc\nZpY55plh0ehfj5GnwZQR6MeEYrKJMeKsiiN7ahGniVIwsRmrZZxYMVYM0zB8ASQeNTs7gYARI0y3\nqTz11AsRHyzdvq6r4MX35lMPrg6ODTPVy7n7BwKOym4ZCzh/sRWEJZ8121UA9qh8v/XJWoH2+ZDR\n+KjdSNoI4CoAz8FJPuZwhs06cTV2Gmw0f/sw3AiJ++V1KyeWEkFfGkhPNlfkeKdFP9osJC1QrhdS\n1AORIswHUl1YYoksqyxSZixo0c71iDrYeLJj8QejBtraNukFssvHN6boBKZIwlwfj7CVR9hqq1/H\naLGHM/kZ/t5mhLSlWY2YbpRmP9tsFkhNfP0uDavGY06Zfa3ODc1kb5w6U3GNpaCEivaXmDZATTo8\n6DUpbvkdFpmhzAKLQZmtPEqLMY4xSZkEWaRX8wmDLzgl49dJdUh+yb0+cFx/vbpN6aRxU64uEQQd\nKyrVEcZOcK+O5U1Df/f7A3vgajlhS6kVUHil172yaaiqHlgBjunRoUyN6g90G5p684GZn2LzgU7f\n+wuOVVOtE7g0Hd42/Pf0tW/j4LNynpeOBUv+M13XVR2av314fIoQ768COtVqaXD02x/6LJyCL2Xa\ndBs+C6j7rEN/A1+PZh4cCZ2lB6ZCEinF7k3I7xs2vVYGZj8UmAWxiG7BK8jIpKxXUB5hXuWalJ3N\nsopvC+E3h5ddj0c0in4lUtYYU8RGJybaRaxWTNmTrgFpWt79tBiwk+puPzXHJDWiTtdaT+yJdhoP\nJtM9wei99OHaJTLC7NC2mVKvpTwNq9uZZyMzLHAskKbsnWKXfNQgDpPk2gOnpdK0nwEoE52eMEFn\nw/H8GBPK2KsEwLBgHGQUpERIjFM2uo+AFsNi94oyYW3PQcbEit4OWTXVQMBWEQFjHSQtqN85gQAw\nBX0xMkkrmc8UEPBl7KL8/omZeZxEI4eztNDXKmkYx034dGKnAFWHiT0LxQLrt4hbfjxjvPz6whZN\nh1WIRag/DIVpnJldoESVsUaPTqFLFHeoBIIsNS03Tp2o0yXoy+RwrNGjpecZc46XcSbdfWE027MD\n0ohUZrK/QjVXZI559rONkJgSS0YcH7LAjKmmlvZVAbGtyo7oGK/MjmXc+oa1l5Tjgm2KrdKemHCE\neRtr9KAg7L8UahyjxhSAaewtE4e1RqwAC7l1NmXZNmL+WQ4TE7DwEx8wO06qQ+oaRc04HSM0dOas\nmsJRwaNzEBfzyrFgFICpnUAniIjijvSMNOknrYjrZqS7vJrh9YqGPvctJjDM2DQSfJQR8h3uc25d\ne8M3cbPJg946WsXY9z7b8T5TxIELpeB1n0xLEMsQqVu1X02pIM7XeGkAUuEq3ns6fD3WMi6It9e8\np5/FvPZToZqW9Ler/1fdnG+zofuooEotNYpmuz6rpuvqefLBm/4uvl5NLTU6RsCLOw8pwxKk1L5i\nTH5/aRMyMB5io8xput2jk4vMqQrMIcR2orBq9DlqJKzNuFUjpkyZ6/SQNinHyAZAv/ODAjvrKWWu\nd001nNA4BSn8k20sUaIVZc2Dpmz1qHPMExKTp2Grwc7hfmpMWYH1LBVmqdAhTcNLWa8aa4olSswZ\nQX+aLuuaDZbLaXLNtjBAfaR6Ue+xFSwwG4aQX111Oihl13UypYbSyn7NmmXfYfS+Nim9VFW2kVHW\nqyKWFPa+Po7EPWW4ZhGtlvacVU/FJlINOQU8YvZN/b18rWxfvoN5BMCpRYUf0zR9qfFDU5w6+dS4\nttlsbxk4E9bvW7EgNd3uMfGY2HpMFQxbkwOSkDAFBHnqrKuIhCUuBIw1epQKS6Z6P2ameZRuJkWu\nMqBdxvoHrl9cEU3arPluPa4CFkSqRU7QF93YfrYxyTHO4X5AnoebOWBT3FLw0aRDmmmqbGO/9ZzT\nVkEar1bJso397Iz3yKQyqpvnbNfGpBZzdBEj4FZhjAqzTFGz29zJHipssDowwJoHSw5gijM6D9OJ\nXIoyYSx3trF/JH35lMcpGL9OKgAGWH2N/L9vA5imeXzgBcZfKZaHlFQ0xtKWw6SS8o22MdV0juiZ\nFdN4u+0xIk3Xed6yMJoy1FTY2rSiz3CtTR+Co7/VXqKNCz6a+8/g2DMNCjlvXd2mCtj/pV9Mv1P3\nX9MJmkrwmbkYJ9AveJ/3qx5VhK8ZNQWbyo7pd+mxry0aABew0975UvsJBVqL3mc1PaHaMh/IlXAA\nTQOqz/ApQPQZRN1f/Y28zgO9OfN7A2FHQHnUgY4Jgmo/of0f5bQJi+H3JlWgpVovXxcmpd8izBWh\natrOQtN0PJ2G7LC64OtkI02XJfLkSVgN2NqKuac0Trq7/dQc6rUk2tWsER+HBqzHZp1x+wBVIF9j\nkk1G8DxmGFK9RhS463U3SQ2aptWNbwKt8cOfCKmxaBk3mfPZMgVJqs/UiZVWG2/EOtzb/o7gvLaU\nHet729Tt+4U/Ruxu72UjPRhugd5EgrRJCdqG2yEOjGkV9g4co/aAt13twbsBJ8j3J7K+BkxjZMG1\n+GFCsiELuXU8KzwKOWmAXo4WCYoNoqQpYNhuimdCeYbUmCSfkfZhOsGKcl3pqdmH+dzpZheWaJVD\n1m1puGeC6tH03OeEAGgXoZXL0GKMgD4hsbUf0etBRfUBMQkGVuLQIkuFWWapWBG+SHqmLHDvBwET\nlR7xnEgeSmaSF9FllsMAHDPWJLNUqDGF9nysM840VbTCWz3snC52jIWozAE2W6/DrEl91o3fmDJv\nT3mcgvHrpDok1cgAVoAPkKdh89kAUdyxVLy2aQBhvaaW23SigZRTMyDRhzgcWG2QZYTwAJeK1lXX\n5Kfr9OZXjZUGL9WD6awrhwQAX+Dqpxj9zFGEBBh/e75Fg+7PE1UiqU9Y3/tM3+yf37/Nt2zQbTW9\nvwpk/JnmWm2W7mfGW8fzPrND05W6DR0a6JLeOn3vs8pk+WLUYM02FEDqd/v7qymGtcek+6TLFEgH\nxtMtlJSkth/KDCFOiC2F33IoDkUP0iUiCGJr+KuaRG2wLV5N8nAcp06VaSY5NtKcWycO2gZmySiS\nI3Od95GKOGXLlM6P6DIkaZadVLfrT8YTjEVmGKPFFDUwWtYak5SosoedpgnyEnVTmp+lZb2Yakza\nh6raV0xSM/36FuwDuMUYc/E8RzePM7nSEOZJY9Ve5J4tIGxTGwFTs7BaCEX5o7FEXenVd28REbEv\n4hisMu4eLDBaWa3id/U/nDPL9D5XU1cTA4dbpIE0GeA+bNPtRBWS40PoiwZqotqjt0HAyHCjKXRa\nZFR6oMyWP0nbYY5ZvRD34QCj6tVmcVmGgulhuSCv1YpIY8g53C/NtUFiWCQ2RPlOXYy6q5AuduhE\nImCfXGnYDhqaTVHH+PxKm9XxlKvGVCCobJ2Ji82ytC7SfoxaOXiMSeaYt3FmgTIxoXGzj1hghg1U\nrOGzFv6o5qpLmg1U2MYjRJ0u7SKmMfesZWoBVg3o6xJRai5LH8hCZK9NgDILzDaPWFPzbK414lWm\nvnfzzBn7FKn63c82+x0n07jlllu49957KRQK3HjjjQDceuutfO973yMMQ2ZmZnjLW95CNpvl6NGj\nXHvttZx22mkAbN++nWuuuQaARx99lI9//OP0ej2e85zncPXVV//I7z6pInqSgTWi9IfOApQp6ASR\nFd9rRWRATBR3qBeErYg6PfHs0nQUjBibJpqiDUop9a6pN19grnYJftpPWSVwKUGfRdLgo0DIr3RU\nBkqDiAIHBUwTZvs6U9VKIWWjlPXxXZ39oKgO+2t9tPQ7fbsH3Z7viF/FBW3VZsCo+amyc/55jb3t\nKTD1OwYkcA7Z+v3+d6xlznzmUasiY1xzXx9U6lDA5W838JabdVPed6lGMDmEdEe84IJ+7HnBifM9\nQYeo0yUOnfYL1KW8O8LaAsywQN/oFYW1TVvxvhaVTJv0gJy+wFoQqJu0n2oM6RHQH9GXndA4qe72\nU3OoGFoBd5ouZRapUqLOOPPMUaVkKsrEyd5vPyXamhozLNjlMywAWBPQKWpUAvFvqhYKrD+84qoT\n+ziz00XgfyDO8FUYe6TvmPwSrkk1OPZLNUqLCIA5HxcbNYZsNK9nEPCiKcZ9uHim8gnVjC4bFq6J\ngES9nxeAb0D4fGDJAKJZc5/eL873rMj+M49jvDQGKXDUfY4RIKiVlmomqylLf9J2EFfhWRLWaaZ5\n1FoBTYcNJ5LXbEcJ24JoWFKfrVCA2iKkGEAo7ZqymRb5uM5EpUeznJSJndoI7cPFzAlslam0NWqw\njgbtnDByq2StD1eeBllWycYtyfhEfSZYsRWzfRNL1CtMJQx6Tc4sr3gFS20oVjjAZgMTs4aVnWYT\nj9HKZZhabrNj8QeMlVu2ClxB3bGimFOPGdnFAmX77C6zyAIz1MnzbI5RZoEGebbyyEgPyac0nqH4\ndemll3LZZZdx880322XnnnsuV155Jclkks997nPccccdXHnllQCsX7+eG2644XHb+dSnPsWb3vQm\ntm3bxgc+8AF2797N+eef/7j1/JH8n777Yx4DkhZsqWGlpmSUEdOLICa0+q5s3BKxahCYtJE4ATdL\nSdpFSSn1A6lgGRYEeBEZvZfejApmFOQoyFIwoak4XSeD003o8FkmTaspUNFSagUAmlLUz6l2CZwr\ntFYf+UJ4ZYr0M779hZ8G1EC4iEsxrKxZ7msxVEelmjKtCPXTqXiv/ZSoDzib3rnS0cPp5nxdmYIs\n9eXRFIcOX+vmAykFen3v/6oVyzGSphwa9m6o59BLT6bbPesHFsZynQR98YLTKtqgHxtnaem4IML4\ntNV9BWZikKZDltURQOY74ss6AqC6RCPaDBXo18lTZsGCL32AhzjfHwVtJzTCE/j3k/GUhsatOnkW\nKdt/B9hEl8gyXSWq9jfXNLSkHIVPrTFJaWWFFmOoB1zW+DxpS6IuaUorK44JUtnEFpxthPYxzGEq\niXC+U2rZ0EZAzYz5N24+sx1XLehrWA1wa6tz/Sws78jIuso46+QRnLBeQWEJAUlbzLY1a6DaM9V7\nYZYFCPjS+Kb38QJu0qyM/XZoq5Qh531eJ5jgJsD63cZ6I9tsk9GigQlTlKPgTifRGjvvk0n8JDXW\nPdYYzWLkYN1ig06UphNEtIuIl2CUHU3JqrRkxuzLrGHmC0l6EdRz4yNgRRu7Z+MWnSAybaQk5pzP\nfZzB94mMrUSHtE0RgjM2T+yTc9sPBEDVmKTFGIumS4PEIslCVZnmWFGCsFZHai/IA7lncT/nshCV\nqTJtl9eYMpMHCbSSapdYuWTWO+HxDMWvHTt2kMvlRpade+65JJMCj7Zv30616qjf4XD4uG3UajVW\nV1fZtk1Yvp/5mZ/hH//xH5/UIZ00QyvCakzZYNM1ImUt79eHmzYQVe8veQwGkDOVZFHfVkICrut9\ntY3fHVKreSwr47NZ2mx6rW+XPuBVA6FD2RfVMCnoUkDmszI6G+t4n1PhuXGcHgE/a4EVjF5kuv8K\ngrbL689evYubuJYqJcoscCHf5dV8gZ/d/S0Jct/ApSxmcSlGZex8wKPb1+/yGby+ty8KYNX3K2WO\nWZk8cIUCyjj6KU09Tr93ZMk7Np8N7Huv/WH2O2HW0eKLjAGKQ/2/2U7PEFhSMu71jkRmpd2MMU2N\n0tZsUFLf0tpDrQU0PalsVUxgW2+oXqJB3orqxdsntpqxBnk7E9U0VJuMBWnB407UUxinoIj1ZBzq\nKq4thZThPGYsACapEdG179eYZIlpzuBhtG9fhzRx6NjWCrNMU2WeOeaYp8widcRM2qYMfa8uBScq\nql8GTvd2soJjmJfN643mvSJwD26S1UfuZY1NBkRlvLRgcbHNkc0FEZr72iaVeKjudBlh5Px4kQPG\nkGrpg4xmCKrwjVe+kDtfeQkH2MwsFSap8Rzu4+Xh3bLtW3ESh43mvlaLC50E70UAn1aqa2pSC6FC\nYZuyZ6+ybr4BHchUkNhYMZ/VmNNEAGEJ1h9ccVKSZSTurgDfhuKWNu0LhVmzLLnq0dQOIxQgW89J\nOhmEma8XpJvLHPOWTVWrmhAxW90fbQUgwYBnzR+lXYRuLs3M8gqdooCoueYhog48VjTXUoD1ausW\nIubZSEzAATYxTp2sZeUFsE0tt2nnMP6baWqETHeqLEWgmuyt7GeRGeaYZ5Use9hpda518jQZ52HO\nYBv7zeT1BCu5/43i15133smLX/xi+/ro0aNcd911ZLNZXvOa17Bjxw6Wl5cplVyLm1KpxPLy8hNt\nbmScZABMuq67Ng/ByHvKjjWM67g+uJT21D5YcRBKc9T2wFaxBf0B2X5bvL88m4OUViBqGlAf6soG\ngdOA6Y3js04+QFMWRl/7xqiavvMBm1bw+C7vPojxXd/BgR3dD99P7BCO7XoTPG/u77n3wYsksLXf\nD8AhxriXl3DLjnfAbwI74KduvJtLuIsbKu+Fj+A8fjRVoUMZqNGJggOVWhXq9Wi0JqtJRq0pfCZK\njzVas46CWz/lqOdCixd0aBD11zXnZhhCv+jpO0LXvHuYkVluKoBuwvUAFRZVhPg60u0e9dy41UeE\ntCzI0iog1W5pf0gYtVYBrABVt6PsrgamjlmmAtaAmAEJakyN3A8nNE6qu/3UHL4NgMz8x4x4OW9T\nSWpHooyCLJfqbgXiVaap5RZtSlNAXYk6edsvsktEs5AkVxg47aTGHz+ONM0/tZTQCZRfiaixpI2A\nN01p6mfVpX4GN3nSKsc+cLb0n7QxU+/DRVwzb9XX6mRUY4ACx93m7wPAm+A/73gXeziTv/zsa+EL\njE42XwJnvvFeyizymov/nFkO86rFr4v7/UZcrPKNolXPBs7XTGNyE0k/6jnQAgQFqD3vXKl2S7dj\nXOzta80sbBavSr9rhp3cevq1zDJkmg17PlZNBqHFGOsrKxyfidkfbEP9uFpBlk6QRpWibTLk1tgD\nahoyDpO0Qs/81Iub2bhFFLjgmmWVMguk6RrLiUnCouvWEdGlxBJxKJOKGRZI0zEyDZgyfmJVptHu\nNRIre5RYsiauJ1zJ/W8Qv774xS8SBAEXXXQRAFNTU3z84x9nfHycRx99lN///d/npptuOuHtn1Qh\nWXPW6n8Erj2RamACYuMk3bfMl9hVuIfT5EqD1fEUcTggtzgQ08K+CLATevFrANCAoBWLSnHrLEqD\nxACnJ/DTaOocralGH2AoIFG9lqbqfL8a1ZA9kS5MU50a1JRd89N3uq9l4BcgceUQ/sse84EWbRY9\nmQAAIABJREFUIgLZ4Z3lffDQXrhGhJDfZZXvcja/xxeAixj+9/XwNWTGBy7deZxR7zM9Lk3t6bH6\naUEdA1zQ8QsTFGzpMp1A6HEr0JpFgv0stMtmhqvgVX87c56GJfMbN+X//UBofTVl7UVSfKG9IoM+\nJJMQp6ScXEFXfqU32oQ7N257QAIjYnxtnq3XrXg3jVnPL30PsCJZnSH6qXYdrlVR3warCPHxeVo6\nsJPqbj81R4mqFdKLmWqNCrO2onHBMAVqrVNl2no0AZbhPIf70WbIm+MDLAQzhMTMsMAc86yvrJAv\n1cktDsQz6wJcHNG2Qeoz1URAyRC558rIZ2BUN6lyAGX+lTnbjIQRvVe1olKZffNQn7i/54CbxtMm\nzvBVBfm7gXNwTFSEtFKbB66AxDlD+BBi/TOJALJNCINXM5//Auy957nsHYe7Gy+HA8gkdBy6f5sg\n9Q2c7ksndrpPKr/QCtAZ2ZfMIgIUNf6qHk5ZQG3DpJPUive+SlKUCdshsUq1WotRmbPmzUkvw9Hz\nBWVlOy2yzYEUGuSgOZtkPhC3+jILHJkt2GfbKlkmVxosFoqWFeuQJkWPH5TXybWyfATANuAO+gPq\nuXEqbJAKx4JMPPsBRlIhk79JamziMcvOxoTMM2djWESH6bjKQjDDfDBHn4AaU8xx0BbBjRnvOu2D\nWSdvq7e1QjRNxzrsP+VxgvHrtttus/8/66yzOOuss57U5+666y7uu+8+3v3ud7tdCEPGx+W327Jl\nC+vXr6dSqVAsFkfSlNVqlWKx+Lhtrh0nXUjOU6djUjra8DOKO+T7ddtEW5sbq/mq9nhsRVk6QcQY\nPSktjp1jNBlT9eiDrBxys0wwWsHYRnQQCoY0FRYhN50PRFTX5bNGPjBSEKGBUBkkBVa+5kzZN6X+\n/bY8CnSU1fQZqQ4cu3ic4rohLH0ViaJl4F4wKQwZKWQqNwajiVjz+jsk3jPkT//+1bzuS3/hAniA\nqxzS86bA0WcC9RwpMNX9TuPSIv4sVs+TblPPu28d0TdpYgOEMyrE1QKJvjHKNYxbwuzv0IC5VAeO\nl6QFUWpZenf2zG/QD4TlSgWhCGVLSWtf0solTf+1gHokDEQrytrZbN10aGyZih4NOtr7EdSYVfqk\naUDyU1HC3jr2y7UOkSqiaarGZVrKxbtEJy5ghZ+kIH8MQ1uoAXayqL+dPNyEGZNmx9KHT00wlT2N\nCdjy2BHa5Ya0uAmy9hpRs9ZhRnRF6YkVUjFyL7RxwnKtStSJkDIuMeI5pUBtn91xd4/rOph1lL2q\n4rSi+h0g8VB9rXxvP2WSfGsMjX8NHMA5R/btyPUFNlxfE4DVRsDXbgRYnY3ECY3L/uRY/9ZkefrW\nIX/61lfzuvm/kO/wW57pMeux+mnWjWYdNXf1PQ5Dsw/HcenYtZXtWkQFMGuYrajHMIROFEHbTRCV\nIW9FY0yFNVpFVzGtGj9fAy12JguOycf1GO2Roso0MyzI5BOpzqwyzXxOGnofNsUd++Ymme1UaEVZ\n62BfNxY6zlbimElNhnYSuESJdNClSokxWta/rmsEF2K9kjU/bd78HJPMcthWi5eoIr1SXaruKY0T\njF+7du36kesMh8MRbdfu3bv50pe+xPXXX08q5Z6Vx48fZ3x8nGQyycLCAkeOHGFmZoZcLkc2m2X/\n/v1s3bqVv/u7v+Oyyy77kd97UgEwq+MyQ0taO0EEgbyv4CsmoBXIRdvPBfZiiTpdwti1HALHhKQU\nHOlsT2d8ysgoiFBtlgKDCMEn+jpkhModEauDmxVqhaKK8PX7/etvL3JjaxGAbk9nswpI9GbXcmoF\naBH89Wsv5tvvvQqW/gZpCrkK/NDbKb2AJswOKRDreV+YBY7DNz/JVYmzueqOL/CZq1/D6/fdxrAk\nzawnvtZzm9RjUJFrx9uUBlnfegJkpulrP9SUUYd/TnUb6s+mjJwCNz0/kdHwYRqjmwofZTzjCCYW\neiLGN0yogrleJGarqbBPu4Dt/ZhuS0VkNmzRDwJbbQuuvZCIqE0QNamlPtL7bBzxBQqIRywq5GE7\nZo0N1e0+IMBvt6Umrep0LYcd0wVbDXVC46S620/NsUDZ2ucAVCnh24q0yPII20bMeSPDoC5RIsuq\n6SEo7OxEtcdCOW8EzOOi/6HFfcUzCehTYkXihw5l3tVIVcGQ3zpMJ4NNXLHNRgRcqF/hWslBhHhv\nqW2Fap3AGU5rfFPRvqYttTn2o2adzeYzer/PwkM7tnLm82twBLgIWEJYrRBYjwC2I7jY2wf2I8xY\n27w/bZb/Blz1Gx/mqr/+Aje87G381uabGWbgYHEdz1o8Otr9w/dFUyCmx6STvAiRUcyY47wHNzHX\ntkZ6DrRqXoFsWyo5n7uyF5AJYm9CGpgvl+UEHAsmmWduhE2fZ46YgE0cYJ45QJ6HcU6ekWqgusQ0\n68y1VScPwTLE2FgibPsY53A/+bjOsWCSOAzESNYUK6gzfYfIxqqsEePrtRyaiadr4H2Mw8zaSkdl\n7dXrTuxSsobJk2zBLBVORif8j3zkI+zZs4d6vc6b3/xmdu3axe23306/3+d3f/d3AWc3sXfvXm67\n7TbCMCSRSPDrv/7rVsD/a7/2a/zhH/6htaH4URWQz+AhnfjQCkgdeiFJ/ljYBleJNlr+r6L7Vs41\nYtbUUzeTJIwHdHLS02vkyEMk4Pggak1O3daL+hooP5Wp2/ErKGHUQ+uJdFBaOaTvr03laZoUHt8z\n0bBsYyMslw5d1vNW7nnvj61ZT5eFwARc/hmu/s3Pc/7v38c0Vd7BH/Crv/DHvPwzdwtoVe2XD6h0\nH/3RZDQFqTNjnY2Ga9ZVQb1voaGpA98Ww9fFFeWcqLYvYc6P+n2Bp/sLjReYl5YEuSbaOfH+ip/g\nrsg3G0ZMK/0f/aF9ztQTTIxXhdnyG8vLazHc7KNNvUOzW+5aVod8HSl6Vg/2tMZJd7efekN6+DWo\nM25/9zILfJ8zyFO3nl5aQZunbmUWIFqdbKfF0VlpnxbGPbK0iOjwfZ5tG3lrGmd1PEVqvudsbPxR\nxE0Oy7iqaa2K1NRkgIA4U4lnezr61i/6mYz5Hq2cBsd0aVWfxkjNKOjEchZJM2a85YsIS6UqiRAB\nXn0EhPURJkzB16R3TPrdPgvfN9s6cDq8vMV1d3yMl7zqvzPDAu/j3bys/DX+w76/cn6KkfdPj2Ef\nMjH2Ky5TOL2XniNluyKcw70em2YPdJk2Ss8ZIqAAxX7bnRczZli0jJcypToJa3k+g0uUyJv0SI+U\nvX5kIimarUlqljGfbR4hswj9zXXrczi50qBWGKfEEmd4rvkdpKF4njoLzNhlk2biqPKgMcPUR3SI\n6Fpgpf1NV00KPcHAvC9+YyesZX2G4tfb3/72xy279NJLn3DdCy+8kAsvvPAJ39uyZQsf+tCHntJ3\nn1QhOSBmxTAFygIonS99rZzoebpTpROlqTJNiSXbTLleyDBR7dEsJIEBqWXD/xQHJJqQqUrKKowh\noZ5evjUEjFb2qdZJPXZ8ob3eoAosFnFMl6YKFZDpNhRE6ewxwFU96r5o6lLfV8ASgbEEcunAClz8\nne9yp00t6go+mlQfiFWzg8cRxkuNeBTwamrSALUbv8T5je/zoVveQkzAZVfcxfDNCRdYwVYqWfCk\n50n3LzCb03tO25/oOVRNiTKLkbct/R2ML4+dvevQYKel7T4w7Zh+kP5sF/luZcCGGceKqhN+ojmg\nWUgaFkz6srVyGfo5FzTWVvK4/zvtIogAXx+uXROm1vZz1L5uOmZYYImSTV12SDMg4c1mn4YNxU9S\nkM/4UHAV0bFNuX2NX5oO88zRJeIMHqZOniVKbOaAZf/r0biI+ds9lorjlFeWmczUqESzbGU/Zyz/\ngKWiALyJSs/qI4mAZ+MYLh0ZpA3Quci9ogaqIcJK6b0TI0BCMwQLyDWjsUzd61WasQIcxtlEqEeX\npiO176TGCK2A1BSiArjdsGPnI8JmZRDgpWCrjaQWl3CTN+1zq32d+2bZQ7hUYQM4lIVXw/Nu3cN7\nX3MdfQJ2/dGXGb40IfunaVndV92WWuIom6f61NNwnmd+4Y+67itj+CguvmsF5QSiZdPtKoM4JxXX\nc7l5+3PNxAuUgiWyzTa7c+cxyTEeYZtN4akYX9PaCtBjAuIwSaY5sNWyk9TEtDVMQm4gnRNMuFkd\nT1EzBq/FShviZe6e+ykiE8dCz5IiMgJ6aUO0KulQI7FokTUTCwGPJapU2ADIs7pNhhZZDjPLVh45\ncQB2Csavk8oHTFI7S6aiTM62ei5FdMnH0o4oyypxGJBtttm+eEiqMJBKt/xKm2EoDFhkbpJhwXh+\nGeYk1cTmym0KTW9EQ0O3N+NmP32kRNpnpvQ9nUm2GZ2BahDTFhk6C9TgpWJVHwLrTT1u/vo2EL7p\nqVb1mEKBSy78qlnggy/dsOq7Umt2sIcDX+rNspZJ68EnPsN/Snycv3jb6+Ah+OxLdzlxax8JdB2z\nrwpWwZkfqmZD97vknRNNY/rgyx8lnKGjHpZ6hc3gZq7q7ZbztqUzd7UCMcuHOeMNdhxauSTL5Qzd\nQoI4TFIvpDhaHrd92Oq5cWq5AjGhNVxUlqvGJCqClR5qWVMm7rzCNC2gGokWY6QNowtYTxyxXOkT\n0RmZRcaIO36SIa4M/WlEofAE/v1kPKXRJWIDFcMJRPYa0PSjOIPH1q08TdfoZCJCpDVRRJeo0yWz\nAlHcYb6wnk6UpkSVVbIcLK5jnjk6pOUaPx8oiejbTlBKMDwTV30d4iq5ffG4Ag6tCgwRMKWxqIAI\n/GcZ7VYR4u7lMm6+51cDRt7yHNImaDPuHt5stluGr5/+s8JyHTHHsIQDXrp8P6IJe8i8XvLWB4lF\nDUQzpuAM4Gp47zk38Nkb3gwPwCc3v84VGmjl+HEcK6/+jptx6VPPPb93PnAxjg2LEUBV8l7H5hjP\nwTn0qyZb7y0TR+MwiVowASwFJWP8nES7Z0i86VvNlSvw2ECdPBVmhVEPA35YLqLegWk6zLBIrjpw\nv405xolqz6QaI9rm+eS0hlKV2zeyIL9FGmCd7yvGSV9aDY1TZZo9nEmDPAvMSG9UshxgE8eY5ACb\nTpzJPwXj10m1i2IxIYFoKq4ZI8wBcZiUVGQoGrCo05VqtEwL6JFf6dEPJI00DCWtlPHE6gn/AQ6j\nHluqRdAZocEumce8z4SIkFxZHd9mQkWpMCrK1O37bJafqgQ3s1RqX4Wlvv2ELxJVRsmrJpx79/c5\nlNjPJe/xRVggZUVj3msdY0ikOI6AsrxZFyRKHMIBNWXVPgM354ELufqdnyf9gQ6v/cpfugCrZeQ+\ngDLpUVsK7vuf6fvKMAbeMhhNPWqqQsGuGiKqc7cpbU8dx1a76ue12gdcAUbCsJjDsoD0fLvNIJ8k\n3RT3+2ynZX17orhjRfla6dM1dhNa1q0tgvzuDX6zbr9a15myxuZwW0Zw68S3qtlQXzFl0VYZQ1yu\nG5zwOKnu9lNzOI+vg+RpsG5fgyPbnUGvpHaE+drMAZuynuvMcyDaZKrLJhmLWuSW2zCD8UVcZZJj\nlvnQ68qaNW+GzD4c85IxDPAEoOSKMlExzsHer3gEFxvVRgbkPvRtFzReVXD3oOppFdQoe62m0uo1\npqnSM7HAcG7u+/za7213bc8aCPu1ZL7zCI7xCsG2Ehw3/w6ZfWz0IJMSpkknnn2gX4UHvgq//VxY\nv5M3XPKn1H8xzzsqt0hP2H04w9oQ+LY5pgsY6afbnpP0Xr2QoXi87SaSs9jK02EBEhdifdZ6O8z6\ni214Dk4Hh4lXK5BbGbAld4QjswUrs4lD0Tgre6o2N4BNQau4PWUYsUlq1IO8XadDZLVitqDAHMtw\no0xA1eYkyMXUczDHvGXa1S5FpRSSDl21bgUVZi0o6xBRY4oqJbuu6FtjW2Wpnp6bOMAJjVMwfp1U\nDFiP0D6c1Om3lcuMmKmGsYCy0sqKWSYXUhxiqk1MWsl3QDYP76HPOCnjosyUCk8j733/Bx/weBCh\nmgdwQML348kxCjB0mS5fqyfzmTINfiGu6sj/LgPUDr15OxKB1jIjY94G9G8KYbkUfKUQ8NUy6696\n6+B9Tk/iXvgMfJ7XuPTrWo1b7H1EAZpWgvrnaC0Y8/+vKQbdtl9lCaMzbtWGrQVx+jJ2Xm/NQlI8\nwAIBZmK6miTdMekh03xbK2/7QWDBV9Tp2tJvFVRr31K1DnD2EbFdT1OSzgVfPqMar1Ej1r5ZNup+\n30OqJbOsnriHjp6bU2wGebKNFmNMNlesDoyCCPNVSwPSTmaOec5afNQCs2xzwLjxbuoj19vy2RkW\nghnri6gSDG3KvUBZmPrNuEmaphJ99knZfWXONUZ1cG70IVLtaLqEWAnARrPurFl3M86wVRluNXzF\nrKtMnMZgv5q6LTql4az7nkPv3A6tWABWBgFffvxrI0L89bi0pOrDlnBpShag3UJQ5nGw98oBBEn9\nEI704A74b/wChFArjDsnet+qQmOtp7ldyK2jWihwgM0cmSvQ2w7Hz0yNrJvQiaJh6eNQWFH6phuH\n1zEk0cdOUocZFz+6RHSCCGnGHaMN3QP6zDNnGVX1FOyZCaD6yik7H9A3IE2Y0p6ZKLfL8FhxPQ9H\nZ/B9zmCRGSps4Hs8jw5pHmMT9/A8K5eoMGvbYPmMvsoiSiyN6NTER6xmBPl9E7tatmn3tEXWT3Gc\ngvHrpNrFBMORFIukfNIEQTxSBdnPSYAK+rE1WgWp1Av6McdL4ulEJDdABnn45lakym0EHKi/lc7S\nVnCzPZ1NlhBc4ttJhMgs0gdY6m7se3r5LvY+s6N/VdekQMO/+TVtV2CUFWt663/ibxgtsVw7/HRk\nCweyUrgAlUVAnM+YqWB/DAfm+nDke/zlOa+FL10p6YAAB5j8r/fNU/1j9q84DW7KamngDr3P+6yi\n3lR6fhUEIssSa18XvPVyiGeSOYxURwB5bmXAMC+vUx3tkdYwzvlib9IPAmn7YZpxO78vt3MqqtaU\nuYIzbdqt7ThUjC+7JUyG9oeMTKGJivAVnCkLBnDC9P1Pxo9lzHKYqCPX0Lp2g2YpaTVhyg6oPqZZ\n2G0fkK2ci2MxIXEYmGuqT56GTWGqDUWfgClqtHISlDLLOCAVykM2DpPkvmau+S1IHJkz6yybZffj\n4h0493gYvR9VnqHVld9GWCzVfe1lhNWyEoMSolErIcCtY7ITWikI8EHgPYGEoANm2XocIOM4HAph\nOmt0aC0g6yx6rF1PCqn+1vyoF7d4MRL7DsG3N/ONq17BD/50HdOdqpvgaZ9GY28zzBid8CwwlAq/\nA2wiS4t8p04cwmPBJs7N7CMR4pg/zPEtQ2YzzHRWYB4SKi9RXa9WoZakSKi4r02xc4T2ZsnmBGUp\n+KmTZyv7rblqnTxbm4/SymVtg2xlx0RjuJGd7GH94opIKuiLDKcJ7IPMRpiZXSSKXH9aZeezrFJl\nmilq5r1Vo+maZZYKAbHt4AASj7KsMkuFPtK5Y5aKbUK/SpYhSSapUaJKnjplW73wk/GkAdhgMOCd\n73wnxWKR6667jkajwYc//GGOHj1KuVzm2muvJZuVHPbtt9/OnXfeSRAEXH311Zx33nlPaaf65rEk\nO2gqNpordDMp0m0BBlKtJkArjLE9q55o9CL3N6UzQKXZAwSEacUKuMrGjLeeX52nui+f+dG0mJZ1\ng+sjqZYRPrBQYJbxtoe3XT8VoODGZ8zaCKXNvYg69F8iM9dWO2p6URkxcEBs1VvmifFtfmEZOA4P\nfJcHN2/hrN2PjprRqlhVq0MVcHZx5803p/VdodcK7FXvpceuYNb3AfI9hXz20M/GKtj2fy/DgiXM\nwyUOYGiukW4mSbY5sNdMHArY70TKdrnuC10iC7C08bZ/3Y4Zs011h1YWTAOVVsmtkqVBnlUDttTK\nomXYEGXcgJPSB+yWW27h3nvvpVAocOONNwJw4MABPvnJT9Lr9QiCgGuuuYatW7cCTz8+nMj4ccWv\n6eWGSB4MMxuHARuosMgMs1SYY56HOUM6HURp8jSYpEbusQHx9hqzQYU0XTpBhBZvRLGArjiQ9GSe\nOtNU0VYxrVwS2saQ9UyZWAR90/1Br/sYuQ/9mJND2J8QAVtqG7GMq3RWUX6J0XsIXBWz3wGjjZsw\navoORvSaLONE+V4FoAAp47Bcm5BttMHOdhubvRgxhDAhIG0TBoCpFmIMZ8ejcUzlFj+Apc1wK+z+\n0+fwougfyPUb7ryA1W9VikVmjU5kkJXftlVcMGJ3uZkmqZE4iIvPWqBUlm0cLY8zvdyQ1wpOjci/\nnYOMnk99BmUEoDbLSbLNNvVcx6b8puMqxwJXmKaEhLLtNabsqSytrEg/ScbJskqi2aZZTpKbH0AV\nOpvTTHZq1KO8ZcsmjZN9izHyNLzuDNr6L206PXRss2/AVvf6hXOqEauTZ0DCWlJEdPgez+PlnMA4\nBUX4TxqAfeUrX+G0005jdVUe5HfccQfnnHMOr3rVq7jjjju4/fbb+eVf/mUOHTrEt771LW666Saq\n1Srve9/7+OhHP0oikfiR35FkIOaqgascysbixaSO5FFHqNtmQVJGylpkm20Cw2w0C0kR3WPgRBNS\nuYEDRvpDKnhQsbsCc33oayBR5kWr9da26PEr9HwWxg+AbW+74zhmx3e9x+zPuLctpcVDnHjW/P/K\naz6NRKCU90YfB5w0nRgiQSmLC0bHvfd73jZ8q4oU7qQtm20sA8+VIDCLYwFV7wWj6UkYLU3X41TS\nbi3r5VP/offa18Ct3eZGXIpF08h997l2ATLmvWFGUtbZ5kCa7QKpAfRDAfWAZSPUiHUsEJ0Opm2H\nsBECtNTfS7UQMyyyQBltuK3BCpzoHqBlUo4tA6iU5XKWFdqSKKBnfhtlzk54PEN896WXXspll13G\nzTffbJd97nOfY9euXZx33nncd9993HrrrbznPe95WvHh6YwfR/wCSW2HOZFCdEtiorrIDPPMsZX9\nFk6XWSAmJN9sSGeHCfGk21CoEMYx6XaPzArkS3XrZg6S4ty0cohaYVIY01xS/Ou0iTVy/bairHg9\nbceZra61b1ApgNoqKCvjTzbVz0o1RHNIXHwARogM3+0ehA3TKsJxHLuk+xEDB+EjV7zBWVA0DiHx\naMYDWrpswjFfZIGhm4zZ67oOmRloVxEqLWUOTGNXCigLWDsbm9ptbpR4kNAYZuJKQMzB4jopACNN\nELvenP0goBOIRoqyiTErsuu0ncaqwgYoHiYqiJ40Gw5IPCrnMA6TEAhD2Z7T3y5DttmmFk1ChBXc\nH2Azq0GWMVo8wlYezj2b0AD0VeOzladOSMwkx+zzLyp0bcP2oD+w6dGYkHuicy1Ak6bcMuHrEjHP\nFKumEXyXNFqhq0VHi8xQpUSJKrsRv6tJavQJ2MNOW5WpVdvzzDFLxXaAOKFxUuXr/nXGk9KAVatV\n7rvvPn7u537OLrvnnnu4+OKLAbjkkkts5+977rmHF73oRQRBQLlcZsOGDezfv/9J7UxAbMXOmmrp\nB1LtqJWOHfNwtVWO5qaOTAppzQbdX7V48FNYWm6sQEcDD4xWLYbImQq9dbWFxtrKmaL3ffr5DJhe\n4mZn1+yb/1dTmiqM1QCo74EFgPdzjrfDa39Knfnp+5pv9Q1Yfa2XvzyF8wRbu/4y7LiQ7YuHBHwd\n9o5dBfDKOinoTDKqj9N1FGSF3msFWuO432OtBkwfDvpXwbL/+5ltq+v9MAfHZ1LUCynrdC8sapI4\nTIjwvj+gE6VFexhlUWPgMHYeXYHhpHwKXrQaciFqcPH1HPo6WpOX1bSl6ie0+XaajtVMpOnSJ0XL\niPB9o+KnPJ4hDcWOHTusGaGORCJBqyXH1Ww2mZqS2fnTiQ8nOn5c8QsgdViE1ZkVLIslPksPi8C5\nU2eOg2xZPMK6xYY0fDYp+DCGYqXNRKUnHR+akG0OyDSlZQ3A5viAtNAyQC63MpBtaLGPEXVHcUeq\nfcHpsjT26WRF7yEQ8KQO+WWzjl9Z7JuLqoWDrqsVlLqOz7rppEpfqxj/UaBv7pfT9eydDmyTL7bL\nQGJREcg6LelkwsUKW/E4IRoxm/ucMJ+dQWLas2RZ/zj8EmziMdbta5BbHIgeSyduxuNsZnnF9odM\nMhABPpLSyzbb7r4PoZtJubiXETlMLZLJVZc0Ews9+Z6D2CyJrUxchkwFSzJ0MylOqyyTpsv2yiG2\nsp+t7LeFPwExMywyZns3dgzwqlFmEd/WJh/XSTV14pmxMTbfbNgJXZe0TRk2DGsV0GfBgCw1CAZh\n9qtMW2nEAmWWmGbMGLBGdG2xyPO4hwu4h2mqzLDADAvWYuqExjMUv/4tx5Paxc9+9rNcddVVNqAC\nrKysMDkpF9jk5CQrRhS/vLzMs5/9bLtesVh8Ul3BQS5yFaHmqRPGAsi6GWklk9AZVGw8m9rQLIln\nU6rjDDZz1QHtovo64TQP4NJl6oAMDkj5oMl8j/2MBiMFb22cfmwzj2eyzI1omTG/JZHOALWSz9c2\n+enNprcdFYfi3q/Es4xqtPA21mc0jTiGY7p8a4rVNZ/PAs+C39gpM9Pf+Ly3vRD493Aj5HOLNErr\n4KwhL9x6J3/Jq1h3d2NUAKz6NW3GrdhBZ8Tavklnngq6fN81HXpulBn0gKs21c6Y30D7PKoRbxzK\n//2q2mxz4NgDs61uJkW22aabSREaurwTRPSDwKaDFJT5mgmn6cICKjFKrJtdjGkZYew0S1b7BVgt\nmbJlCrCk72PHPmgnqVnAdsLjx0jhv/71r+f9738/f/InfwLA+973PuDpxYcTHT+u+CUfkNZXqhXM\nNtusaxqx0iKQg7niEQE76ghvLB4SqjnV9FzB6Rpz/QHP5wG5yCqwvXxImK0KEh92IBMi0wNyomLu\ne510LiKgRkFRBQeatJJ7M2LxkEEYrAJONK6Mte8vppMmv1XbAnKPLnuv9TMz5vUyoh9p6HbMAAAg\nAElEQVRV7dkhJOycjgArlWscGiKxSSeOBuRoleQkUhGpDPoRnCN+OAFXA5MT8NsL2Oax4enyPa+G\nn+dvmS/OEYR9nlPYzf/Hf+C0yrLs74LovzJl6JyfJjkY0s0kLfiIwq5p5dOlWeiK5thMzttl6b7B\nTJ3Jfk2AlmYwzHlWw9RUKBmcVi5JTEgnElD62OwkXSJqs+LzlY/rLATSGUN7IaeRdkM9UjbWLFKm\nRJV20bFpvZxXiRlJfKzlCtZOp0SVMgtWTpGnziYOsIed1mdsEwfET4yQZ/MwNaY4n/s4zCw1Jjmf\n3TzMGUR0WKJEmQUr0VjHUcosWMPwtUbWT3qcginIH8mAqbZj06ZNI72S1o5/jRSCplqUWu0HAfmV\nNkE/phNJPr1ZSDq7gVBmiGEsF3EYO12PVkcCEIntwEiwUH8o/eenrYreMn3wh6biRWd+sbcNcE7R\nfjptDqcNKCLBoYRzk25736PsEDiQpm0/YLQSci8kbhmyHH4PZ6yqo49jtkLzhed6y1ZxaUo/3Xg6\n8Ep43WVw604+/LE38vW3/jQisOgjOrMZYBl+G/4g9w6S25rQTvAWPs66rzS47uL3OuClIGoR0Z5o\nA20V80aM9pbDe0//r9vxgbAyXjqbbhrGoSLXAKFYUiT6jhHNNGVZbmVAxjAEwoAFwpz2hkQdCaJB\nX1JBIAxGttOyTWTznTr5uM5UXLMMmAIyv0xcW2ipRkPLsf0m26umphGkEjJtyH7VPEZ06RsKP0XP\nbvt/lSrIr3/961x99dXccsstvP71r+eWW2458Y09jfHjjF8Ay+WMBexhHEuD50Wcc3pOdIbMilRC\n2/a0tXJaTY31tabd/epibcMFIqSfw3lQGYajvV3W7Z2N8+qKEP8q3zpCh2oq58x+as9EFYqrxlLX\nK+PaomkD77UaVZVb+FkGTWvuhcTPDHnX224UwDSNk16s131LmP9sgtAUCqnwvoFkGX3vsBABop8A\n/hpe/4Fb+K3rrodNM8B2CDeLSWtf1vm/eT/Z8Rb5QoPruIHTvr7M9bO/JezcYfc7bFw+StSMyR0c\nsIkDFuzMsMj6x1bIVQcicF+Q4+xm5Dk2Ue2Rbg8gNjpkX6eKEcWvGCuK6oB1+xrEhDYOpOkw26lQ\nai4z1ugx26kwZkTugG0BlKHNs1ceRfVXpZUVMhWZ3GWawsqGcSzHPS+xsLSywjRVtvIIZ/Awaq2j\n/WYfYSszLNjJZZ08q6YScp6NLFLmAJtpkWUDFbJxyzL8vt3OJDUa5OyEVt4/wRj2vyMD9tBDD3HP\nPfdw33330e12WV1d5WMf+xiTk5PUajX7t1CQK6tYLLK05MpM/6Wu4A8++CAPPvigfb1r1y4iXgz8\nFkmGJBgwJEm/0CfVj0kmhqxrQj8FiRTEWYjDBOnOEAYQp+R1kB0SxIbfaUG8DoLYADbVnz+RDj2J\ne7AnkWDRA7aa97OXMHEY0Rv5YnGf8RnHBY8kEnTWm/8nkBlbbL4zRoKOft/ALB/gtKR98zpt/g5k\nnx55/0bek3oAoeu7QJJLLplGBB+4DY6fC79gVvmHc2HxYXNQ6sg4sOut/81DvIJPc/ojR+TjhzZA\nZgPvOXYBfOFCeBFwm06fh/zwvX/Eu5JZmIT9d36B94YwVov54ktfwSu7XyZ8xOz3NFC4RHZtYM7V\nwDt/OgXQY9TXAeA/LxPmtS/wT3rbSEJiAMMxU22EuVYGkBzCYAKGZp0ghswQhjF0JwNSw58mGYQM\nUvKFicGAKJEkIGAYJZkmQZIhRAMCMDPOAQNzpaYQw8QhCWJCJujTIyWfAQYk2GButYA+bTKeXFZm\nhDlzUkJiBiQs09UjxTjPZaO5UJU5u+222+znzzrrLM466yx+5DjBgHQi33X33Xfzq7/6qwC84AUv\n4BOf+ATw5OPDv9Z4puIXPHEMG/ABMrQJ6JPp9mES4g0mVs0MiccgjsYgtUquD8P10B4LGZCEflfm\nQTnkXlhF7t0piW/9dEBUieWeyiOx6Rjyu+ZxrYdiiJLAHKSSyL23CqQvkfXPRr5HG2MMEAZqgIt3\nq8i9WkPc9XtI3NuC1OxMm33T+V4OuQ/LyL2sMUwBZBlnIzEB/Dq856vAC4HnwCXnAb9qtjmLAKx/\nB5w9Az+F2E08dDp8f4gtHUzjyPltsHXXQ5zHP3Puyh4IYYlJ2syQ37tK/2/H4KIYvhkIwBzAwZv/\nX/7jpJy3+8Kvcd8ETLHIt197ES+ofE8ceqahl08QJC8meToU+gnqYZ7VKMnUoM5wfUxzLEOm2yZR\nhHomx5AE3bIg5KA/hJQwXZyGbLMA/VwGBm066wPSnZheSiYAY0T0CJk0LYiGUZ9MS9zrwwF0GWfI\nGNMk2EydaNAlkTyHZPQeUkyRJ0kqWYUczOhveBrkerA6GzKW7jPMwcLYejIEzLDCgCRnsI4MbVJM\n0iRHkiHj1FlHQESXFD2rRx2SZArsM3odR2kHfU4nok3GAK4eGzhKTEiSM7mILgkGtMnYiedTjiv/\nCwCqpzp+5CFdeeWVXHnllQDs2bOHL3/5y7ztbW/j1ltv5a677uLyyy/nrrvu4oILLgDgggsu4KMf\n/SiveMUrWF5e5siRI2zbtu1x232iE97i23T4AK6c39R/hfLQyfbaBKtAE3oFiFrQjiDqwWAAgxjS\nhkEZZiT9GDRwD21lo5Rd0dda7agVLGurH1VM+sPrRwX84Kr4/CydL7zXlKJu06+u1JSisj7KdvnW\nFbqe7n8T7j33FVx//RZkyqUsVpLrr9+LE92XeN3wO1TYwDcufYU0kG08wGg15DJcfTU3/PHbeNOX\nbnau0GfCX19xMWeyhyxV3vfad9PYtA6W/gxh00JgpwRUzMtp4C8CuPx5vPCtK/zDQz/nZnsBcPB6\nd450aEGDsoCaWvRnLz4TqRYdmj7WWaUOZQxWjCu4OTWB951BLDguieg0+smAie51DPrvY9VUOnaT\nvqMs1vAwoE+WVevPoyXh4m/Tt1VIvvlqnrqZqYrFxDRVFpix5d8qts9Tt4UnOpRlmyPDPJ+xbNtG\n3siuXbt4yuMEKfwn813D4XCEYSoWi+zZs4edO3dy//33s2GDWC882fjwrzWeqfgFTxzDjnMDQxpk\nOy2OjaXJDtrUM9LXMd3o0ZxIkW72BFD0oFVOcoBNdIjYGe4lGINUHZeuWgR2QDID6RbC9pQQYJRD\nUnkzOG8842afUAC0F2eGmgL2Xy/3yTwSPi7ATTzVgqGBq2h+jNHG29qlYwlXgPMYLmapKalaVvRx\nrcLmzP4ehObLklx/53vlOA4Br4frP2a2o2nFNvza4ZupMMtXr/s/5NjvWvMjhMCn4MO73shV+/6r\nq+TcAZ/LvYFNHKCSaXH7Ky7nyK9vgS/gJskKCNXG4nzge2XWvfU8fmX2n7jx7nfBENKrQPQeiK+n\nUc7QRhpND5M1gjEJLnvT22wbqjILpA+bWXobV5ywjNUdD0opONIjWYZOCNFxWCq6Qosak0xS41mL\nR6VaclHmoGNlaOWK1MkzxgITS23Zt+b1TOVgsVCEHyxDDo6NZSgeadMuQzeVokWWxNgKDOAQ57HA\nDHPMW2uNDVT4Fi9i0XTjeDYPG0VYg4A+B9hs0q4dcynUTTxcsBXfq8b1foxVzuBhOqRZT45DfJpJ\nauxhJ13SvJB/99Rj2CmYgjxhTHn55Zdz0003ceedd7Ju3TquvfZaAE4//XRe+MIXcu211xKGIddc\nc82TpvcDYvKdupRnx06wrM1Dow7W2Vz/n7kIeDekzoSUEa+rw7AFWCoE9c0KwQU4fZArGKjyeD2Y\nn6bUz3vl5jaAKXhQIKHaL11fPWC0clCzhB1v++DSmZouwP0VMeZpuGZqCsJ0KlyHay7jrZzPCyr/\nxLPv3M2+d54Hn/hFqP0NFoSNX83wmgR8HTgTHnzlFq7gi+z73nlicbF7yK7hn5DOdOEFwM2vIZnp\nUpqpErGPPHXbWkeFoEtM8zzusalScsA6JJ0R4nrB6XFqmlLTvnqe9GGg62pKtonTo+DOc7Mguq5+\nAHHZK8NHUj65lQFtTf8A6fZALE0yMEgm6IQCvsQQVSYA6tmlZdjSbkMEqpGpVMxTN+tiQRW4Bt1p\nukZrMWUdogHrNi2C+8BWS+rnQFIIaTqmGXfauFA/jfEMzSA/8pGPsGfPHur1Om9+85vZtWsXb3zj\nG/njP/5jBoMBqVSKN7zhDcDTiw//muOZiF+ArWyMwyRRR+wC1lUaNpVeD/KU+8v2+g/6A876xKMM\nr4KE349QR1E0O92MpMwnZnrOWLWBPNRDBAxpNTC4CmP16FOPQo0xOhE0flU2Nml7sC24SU4DN7kJ\noVeE1CKuobXKJ7QIRwnDIpLKW8F6gGEqBYP+QMDfAwgIUzZr0vwdB/4c3sLH2Rbv59I/+wb33nAR\nZBJwV8k55b8OGr8UkKsMaM/CntyZvHnHLXz3ny6GNwIPwa59n2WWCkfO38Lpn9zHGC3y1FlkZsSf\nCkSYr/c12825eQxhBuuQzbVZzM2QpsO6xQa9SHoqzgXzLFBmkRnGaDGVa4sutYIDsmYCOSzBxEFp\noJ4yOuJjxQx1xpltHqGVG+OM5j7pbNBH9HhN4H553o3lWlby0CwkyXWBRYg1AVKUgqMwjqEpthbd\nWcjGLbqZFP0gsH5yER02ccAarE5TpU6ekJhpqtbfa5IaVabJGt1YnrqpmJSYFyL+YGqTo30rs6yS\nMOy+GMou/KQK0htP6ZB27tzJzp07ARgfH+dd73rXE653xRVXcMUVVzzlnUnRYyXKk+/UbQXJZKdG\n0BftDqHb4U4kIKz9TSO+Vq+tQMBXrwgpDSzgWCkFQ2q859sZaBAp4YTzuq6WaPs6hxIS+CZwqci1\ngM5PmRXXbEOBF4yyPBnvfV8DZSqMfoXPAkeRvEEVl0dVbVcIu2GJElfN/lf2feQ8PvSBt/CW37mF\nsbOHcODzwGlwBxIYyvDt7efxf/L/sO+G82SWuHsPsMht/+31sARf/fIlvIM/IE2XP+eX+BTX8CX+\nPS3Tn7AVZ0kHomP6Gi9j50tfQv6ldX6RL3A+P8unz9lMiSof/8p/kuMwGhVCc/781icKPhWI6W+g\nwt7j5lyqiWuMNdkNkYdDr+yYr0zT5TyDvlSVCRgT495gOCRMaHsgKfzIxx1agYKlhrQlCvqW+VKm\nSnVe4g0m2g1tAaKeYZGpgNSybNVAqJcYKNjq0kHadVQpEZiKozKB0UWmrQfQCY1nKIC9/e1vf8Ll\nH/zgB59w+YnGh6c7nun4BcJ+qvhZQBhuInY/nFZctm1qaMpl/eDbtzBGiy2LR+T6Pois8wJZL3Uc\nwnhAoi0FI8vlDMWmp4PQSaa2xXkMATxNnDZqIxIm/Ph1GCvrZDOut+MEzqtv7QTRFLhYHWdkvnMv\nTtw/g9OOzSEATqufAarwO7n3iYZLvb6SCBCbxsk5HoLshS1+Jfgs9376In7ruuu54rrbeeHbdsOt\nZp3fGZKrDhhm4O9zF/GHvIXv3n0xfAZh2zJw24Ovhxrc8daX8U4+wE728Lv8Djfym3yHC02xi7DW\ni8zQIss9PI+/nX0J3dk0r+HznMMlfHT9WdTJ8xH+LzY1fyD2Rn04UJihxJJhsUXDlajiLDmUBSvK\n34SCYjO5THVEo7Vl4QjEsLFzlMRunC/Yolw7ZIAFmMq1meIIlWIRIsg15JrJlBBwH4tFU0Z/vypM\n0HOT+bBHdU4mgdKse8YCKzVW1SH9JmeZ7lQ5J/pn9rBTdGZUWaBMn8CyfodNP0qppzzGATYTEDNm\nYtwMC1SYtdWcT3n87w7AnunR0YqwSCohQ2Jq0STpqEs9B1HcIb/Ss41DWzlhNoYh9MvOybyfMy0g\nZpPifq7pLZ9d0ipEBT5asQfO1iCH3Dh+RaPOHE2qywpidVbql3trJZ9FjYy63PttfDRQKpO2ti+k\nWlvshSNTW4BHkDu6yigDBjAG9xznAJuZZw5uhXe87Baam5PwH5F/9MlcsAx3y/e84Cv/xD/+3PPZ\ndt0+jvz5Fs4eNvkD3sXPP/BNJl9ymJu4lr2Jc2BbijPHD8i+PbCA5A/6uLxgz/zNAztoDX+F1l8/\nn9suk5P3D8Nvsfu/vFBmdQqAVVqm5x7vfPvGtfpa0xrKUprlw5yrek2Zv71IrolE2wB1nDFvut2z\nNhTa8xGwxqu+cL4VZBFHHHHmkeR43zJSmm4ELCuoKcRjZsaoaUy/DNt3uFcmseOl32dYsOv4Lvon\nNE6qu/3UHfkVuWkruTKz/SPUigXWd1bovdR05ihL9XbungEchLOCR/nhbJHj21NMHOwxPAcSyhiZ\ndGDiIBDCcDtMLbddXJlFAE8V52m4HfgODiDFZlkWx4xpMdBBhJXOyLYT+qBvI6y1tjrSiu8OAi42\n4mKhFtLoMmXywE2squZ7zwcegA99+nek4lLj2wABVL5U4wGoMCsFKA/Bb3KjaCCvQQDW6bB96z/T\nbortx88vfpMLS9/h5RfP8K07fpZXzf8Zb+KPOJ/dvIBv8wVezd6ffi57L38ufzH+OnHzvwMeOB1J\nRzZw6ckDSP1RCBtur3D80Uv4qxcDR6qcf+ifGR4eY7hFZAwlliguiov9kblV1j8mNGQ3kyKT6zmW\n0hRh0DD/72NbPbWCLEGpzkJUZstjR2QdrUJtwvBliH+YSUUeuaAwOhmbwYI5gHpunEylIcBtO/YZ\nNSxI5qjFGFWm6RipRJqOtb1pmQ4Mz+Mess025ODh6Az7VWJRUXaif8Om5anTIWKGBTpo/8c06znM\ngIo1Yy09nVZEp9g4KQ9JaczYpHoC+tYHTOwEdE0BX9qCaHU8IL8iYCToQ9QZuIe0708lGx9NEfqp\nRt2+slU+OOh466zNSYeMOtgXGWXStIJHtV4auLSy0g8+CuJ8L7D7gbcDv3cXjgbyEZ4OAWYLlLmQ\n73D35S/n93b8BrMchr8CSUFewhmFb4vA9vvAPORuGPC37/55fvu+D/Ll39slAaoMf/OJn+enrrof\nvgm7XvxZ7uRSjj68ERozJE8f55yZ+ylxGNlylv1s45V8icu5nTwNHnz5F+GB58GnYD7+If/4n8/m\n+Y89wF+d/bO84qFvcN2O9/ILfIWL/8d3RytB9Tz7Vh7axcA/ZOMSkNDPebqwlFZShpLK0ZZDOuIQ\nkoOhBV/2p4xj4iC0x7QWVIHz+AroW/2WmhZKJ0dZN8uqMUt02jKdcftMmqY7/W1J+jM1YpL4/7P3\n7mFu1eXe92fNWplkkskkTaYz7dApPdICBaoUy6lSQUAQBB4RBMq2ukFAYEPFDZ5QFISNwgYFVBQe\n8aHKloOAoIhyKFCQYsViS2ntaeiUcWY6E5LJYZJJ1uT54/7da60pPK+bcvG8ffvyu65cSVbWWllJ\nVu51/7739/5+d3rshhyKXW3EKTASaaArPIWJ9DASCUnCbSRyABhCmi4U7XIw7f+wfarwxUhAy1+r\ncvHdzzQRZUSd3cYlbecE4deyoiJeCSh3IOUr8CeFqtmlAqngqbUrUlOzIdSBH+NsYKr53/Qzlp+p\n5cQtjBU/dvANvtU8A/xOyteAxcA3kBJiEr/ZSP/v6vsYEQHPBTzLo4s/xQ+4mH1YKzywGrBQzKMj\nRXMcOWjZUuWnF57LD276N26/61JZPgeWfuosFvziL0QezXBW4pf8lbm8vPBwuBT2PuBlptBFG33M\nYBPPsYASUU7lfuazQsRPp+1F88bJFK4aT6K1lxf3OIC9WM+vOJ2z3F/y3baLmM9LHNH9kiex09JT\nlXg0iId+UUSSrx58fnA/TCjmIAbRtmG/+7so5wrN5vc32nBEYEJPzpcwaTDvYeMvA7+CYBDOesIX\n6e2nHRvXlB4bTWdlxXBa30QtkPKxOAXilGgyXZBhjxqhjjWDRnaihk0PE+V6bRirJZKUDWd2kLSJ\nbcEa+zsYu2H82qUSsAZGyZKko9JDKSxZuHZMAMYcOZhgyfKWvqr580rLrxPz5SjqjkFF9AJekxq8\npSdnkLv1dqT5YCIQLAVilg8FtlGYXpOwrWaboA9ihTG2E2OupypoqomfChvW5PFe169ig6VT06CG\nV9AyqAmZqta4pvNa6tdZfOFrt/F1voODC1cBrYthMXyDb/PK7JkcENsgM6gY7JPZzCPF0yRgTAZ6\n4KCj1vDJJ5fyQHwR99Y+489Ur4H/PPCLXHLjT8aWBy8Efg0bLpvEI5zI0Hf3gG/C54e/z0KeZl5m\nDfV5cMJlT8HdcP3hV8mf67LAd6icFMwy1QwLnrGaaOn/2ZbSo17oVAesFmhiU/QrVMRDUquNDo3F\nKtlYQgKLMd8u2U2EGSHu5snbcdSvMSiGGiTOqzr+iDer9DlkOtNUJegKzV65MmrsRHQEFfHBiECa\nlO6tJpvvj11pxIsFRiIhOt1u0S7MQWXqsJSe2gxZYCs+fTMi52SSLHk7Tg2bQTtNiSgfTLwGk2WC\n2bJVSkjiBzng0yv0/7AZTyQ1rNwljUFb8In44E9y+hF0y6wbCkhg1DvA6vCFjL3/mNIs9KYTUS19\nalOTjkF85GclnHPzLdx53EWChHUhk1JN6nZ02doIi2//FfWaxZJFt/JFrmeQViKLM5SdFIlzejmV\n+1ne9kHmh18mtEY+z/TiZm7vuVTi16Ac1+FXvMyi63/K0ovP5c41FwnqNwCcL8ja5/5wjxx/HzDt\nRrGOfB7eWJTiWRaw/tkDKVwNR/7xUT7Kk9i4pE4rc8FlP4cX4fLarfIdn4g/Yd6K788ZxkeiEkg8\n03NAecc5iKZL9M5OMKGWk2uE+u0qT7YN3wxdOXxx/AZ4M6HP08x4pwD74TVIlGINZMNJ0sUMHbEe\nT7keFMEv8HdmjUHaWyuDZMNJj/OaZtDzghT7IZlEyusjRhcxzLChZsTJkxrNMG74dbKxJG30jSlx\n/v997FIJmOfgHjYO7qYUo3wKkKRLNJwQ/zMMohHonCvFGrDDwvWp2T5DSoOIpQmUIiq2v+0YHzTt\n7FGpiMA+PORKeV3KL1PjWfBnMXrNLOCXDBTVURV95W/ozBOoHw/Ppz7I5XyPPz1zJFjL8P+1Tfh9\n5MFlU5B/ZA22/YXvLrqIy1feSs+8ieRp5rLDrmHuYau8+n+UYYY6QrSEq2xva2b8yoIcy1HmeNYA\nK+H+7rOxmhd5nI0jtz/KU+tPoJNuGIKhb4fosTuYffvrMsu9DWbetY3vrPoaF5dEFXU/VvMBVmF9\nA7ZlYNKD5vt5BrkQ6G+ofD793oKlXE2E9fvT1wNWSFbZv3DUbDwl6JotiJddk9dLsQgjhEnVXDIx\nycaGEbuPUjiKg694r8lQhUZvHfU+0yRMBVVtXCo0UqOJoH5XlqTHt3DM+uCr6evQoKh71aG2IDs9\ndql/++45XKeBATuNi8ObqQrhlDFSd0xndg45b9UjtkNI3OHKCMNhKXN3MVV+54SIulbsMPVEFass\nyOm4jMgSeN6DOnE0OlNWGeFe5ZB4pDErDkNRqRbENoxCAnrbEjS2VUhtMX+moJVaO2QTzUQrJUIJ\nY2Ojid3eSOwbwi+phc0yTfZqwEzYMHMSN7GEFXyIlxccbgy1zXtkkWSswRx/Et+aaABYDs/c/SGO\n+MNLZI8ZRw8dfClxA1MvFMRqkFYp70cayB/WSLgyQrQox1o8rIFYixFBXQFf4nss7TrXK7GecM99\nLCsupI0+6IHMeRGyJJn2m16Z466EPTZk+OW3zuJAoze2D2vpoIeDVq0Z22hkmoy2dzQz3i3Icu2s\nD2qhgSRRWgreArSITqXVIyBDIxW/maLNfC/aSTkVMh0RxmXK1GKi8YWDz70znfzJjqx8x+346vzh\nOHE3TykWMaxUub5mSZqkyiHNICWamE43BeK4YZn6RU28y5Lk7+zFRGPMrSr6KkA9QiN9tHm/S5pB\nag02lZiflb8rJfzdbPy3rIj+b40GRoXwXBHUIV3MEK/kyceahRdm2564qgqwhooCrVKTmaSiGlqm\ndDSRUhE8LQsGhQEVsdJAFUiCxggiqgyCiq6CP6MJm/2qt6GBgk9cfC/WsjrWrXWsq+pYZ76CddTv\nsA5+GGvh01gnPY11bi/W2QNYx/4O66iHsRbej7XwYRrSd7PAWsKfrO2w8DfgdY8E1eyrwAdh8hy4\n5hMwY38kKWsHWrjCugXr8Tqr3A/QxVRj3lqjnT7PELqlr8pQOsT4dQXIQGZOhIunXi9BVu2aliNl\ngTJwMDz15AmwEI6tPM7D3zqGhFPk4/yW8iKw7q6z1+ZVvLE6RWbZHoD4cMbJcxtfwGqq01ILYS2q\n892tF2HNr2P9oC7BSEuOQbsiLdEGhWv1t4n426gTgpYa9fevRwTCdwN/4HxCbD+irhDi07mcl0SF\nKyMeub6JkrGU8blbSrpXTpiL4yVkUfP9xk2LdpI3ve7HJkqkGTDE1GHi5GmnT85nholToJERz6BZ\nk74QakJUe/ck/Hd6e3+8oxHLjXoTyTh57yJV78DzHuUDyITDXFDtmks+HGeAtJeI27j0tiWwa66U\nJJHzOk6BN1MRim0mdLebfWYQeYe2Bl8OImbu95N715uJ4tEblOPYOzUhcXQqvD5nvHSbp2AVczks\n/DzWtXWss+pYF9exjqtj7VXHOruO9b061o/qWE/WsZ6pY11dx7qwjnVQHeuQOtYn6uw1vpsfNX2R\nl/c+3Pdv3Igfl7eZ+/Mh8l8ZOBmJNTPkfuFtK4gf1s8mpjNImlYGvW7j6WyklUGixVFcHGK5UfKJ\nEK92TOM74a+xed4E+R7miLgxq5DEzoFHN51KYdF4ZvF3Hl58DOkLhrmAH5P5RASrWmfuzX/iqW8d\nQj9tnup+kiz3cyrWb+s89bNDsN6oc/o5d2GN1rE/XSBeLPBGZ8rjdnklXvO4PA/v2lFP4CVj6oIQ\nz5VJrSj7grxaWjaT9qF2SdZLsQa6ExPkejaCj6IZ0e/UhrLfxAVkOiUBsmuuJ/rOdmIAACAASURB\nVCWhZPh2+kl1l4VjTZ6pdBkel0jkdCBomWMI+irYGqVEG32UjECri00zeRMXK7TRRwc9lInQT7vH\nFVOx6Xc8dsP4tcseYs22IWLKjoEyj+sIz6sSNkmWOZldY27aWB6VFmf8C7JX6ssF3iBYTw52BgU5\nYPrtKEdBy4L6mvLIgt16mtCVwWqtg7UW+CmSFKUQ+Yg9GGuArYQNFe/R0Y5PatcDCSFqfo557RPS\nObS/+YzXAF9Pw8aSeb/l8PUpZGZPwj3BZjgc9bSnRFU5D67hK8TgjWNS/I7jyRNn+tQ1xC/Lsx+r\n+TDPwrX4zQEDwBT4ePi3DNMEyRDf49/ZFJsGc2DDBQcw6dODoj9GAxhvw4c4BZbD5+z/CR+F3/Fx\nOBxOmHUfvBH4DjU4BytuZhZZTxgUU5FH090TMr9LSMvNYTz7qrrjS5doidJ1bDnPTHJmUyPsVuQc\nq+TJh31fR5GIEOg8iFZpZ6KLCBYqKiZlRNf7nlXDC/DKkHmaTdLld0Nq+THoNanDwR1Tkn/HYzfk\nUOyKY8/+7QylDdKUK0tjkHJXlRtqrIbKJvYoshr00mvP5OT87REUJ9QmJc5w8D+h5HtznsdeG/Wp\nDhr7DJXCLkKTU5XJiZm0jsuUBSWuCCRVTDSI04Mj/5NjHn8OPgbwNwRxn+/HSEWyHOAJfE2tJALE\nK6k9iwi/NpvXCuDxsCPAQmAy7H3wy5SIMuWIl3gm8jHhoEaAF6GwbDx/vWMuHYkejwqQJMs4suzR\nL7Ie49cUIAVv2klWMJ88zXyM39M5s5v4zDzt9Msx6PuvE9ujRSylmTxMENmL1ewPEXjl9oM56qPP\n0zxhgONM3HNwea6yADbCN/kWnAwbmQ5zYGH707iVBpkklRF0sB2/OQJDzO+vQsqnyXjNDDn5jb1m\nsGDjEVDeWxKoxrKAD3bYZSgdouVNxnp4qhaayoM0y+/8ZgpKJv43UWJcpoybcijRRLGtQXyXKVEh\nTImoiWkVupiCtBz512G9zxNnnEnk3jQ15Dh5z1dSy5VqnxTkvb7jsRvGr10KAasQ9i6AeeKU7CiO\n63qzSL34iKFyg8DOiQihipSTSmF53XVENycU0A2jItwv5YBV24xYZ0DfZgwRH8Z2PTbg1/Y1CVGu\nEvglskGgB4465xGYvQxP2ZQ9kBQhg5QKQwii5SD/Tl2mRth6IMHnmrT5meG0+quCTpWAAux9+svs\nuWEdYt3RBMnDgUnwdcjdNYHHOZbHOZb1zGKYKGvZh6qRgXijU5KvTrr5HpezhJt45ZWDWXrbuXz+\nO3dL4JoDrIQnTz8UFsEzt3+Ml24/ArJV/scnHpM/10ZgKTx3xIHUJ1uwyOa0+n3Y1ATuvwge2HsR\nnACbmM6m8ybySPdpggoo4giSs6rdk5JYy6YLaweyvTdqgniVU6YT0iyzNoO1Qc4Nq4hncRWujMj5\nFmtmmKgnPZEPxwMEecdDnlTbptHISgBm9ud4XAi1JtKApf6majFSIkqcPK1mRjhCmBJNBk+Tm5Jj\nx77nyM63cMNuOYPc1UZvW4LX28bzpp2kEm5ke1sz1mqRkggN4ZOwVQMQ6A53enzAbjqJMsye/dsl\ndtXwy5UbILJFS1VQ7DDhWzu6Z5p1gwLIs/H1wSIQ6pb90CIxcGtqPNlEM3VHyp3d4U6xUqrB/qmX\n4GPqw7g38EHZr84H1QZoG75jGUhyk8Un2AfpA9uQ+FDwb8d87WHGHdzPm0bSZj4r+Mr8bwgCBlKi\nTEL5oRR/RZD8vzKXTcxggFZebZvGGx0pSMDmjgk8wKk0MsKpPMBZ/JLnBj/Mww+cwU9uu0SOaa4c\n9/UfvxgWwkvPHMFTfzkBeuGk7/9B/te9wHL4w/QPk3+yjeQnBlj03E/ppJt0eBBOhuUnHi0TXmDZ\nZ+bzAy6hJ9zhk8z1+qHz6xq0rK76SZJ2uXYjJUsVCNehv7sp50Y2QGzDqMSwVbDnuu3CDTTfb3Uq\n1KfhU1vU9snEzFR/2dDmS3QUe7HKeMT4fFh0wCqE6aeN9exljLhbyROnm07+zizWsreHjA2YMuMU\nuphID4O0EjZdlFmSNBk7tlEayNOM4wo1Y9Dj6LzDsRvGr10qAQtRpWKHGbDTRuRTzsZkrkDczdOW\ny9BYrmLXXKLFUaLFUeK5MtWwXFBbMwUcV5COxrJ0SIZUHaHsw7zWIIS2QGQNcsKrJ6Ehu3vcreBJ\nHCxRDuGTULU8pp0rMXjxwgN46ugTAp+shq9QX8MnzasvYx5foV53Xgusqzcl2fsQ3b/xA5bNmi/J\nyAxoo5/P8jO4AZgUhVMB6rBuA9wBa54/iBc4lLXsw0am00MHyxKHMzQzxGr2o4bNembxOMeyjIXU\nUxYXXPifcALyHl0wLf8qR135Av0XxnngvONpXrQdcFjym2s5i6VwVx2a4Zecxeln3AWtLmfyS+kQ\nI8xPzjqbv7/Wyd1bTqV73V5M+26v8MB+je8/p8iikvt11h5EK7UkbL73aky2s2p4Gjh1R5bXp0mb\nfdjIVaiwpSbtWt5rpMKbdtLjZVVo9BAvvVeESkVWtbtREyfHI8wL2qXSFcq5iO6wjSZYchyup6wP\nY/kSqiO202M3DGC72kgWc7jY9NOOiyNJtIOQu/vw6ZpGJV65rQCdbPUJ0BWjYwh+93UF4XTlpMQe\n2zIqJbXN+OrzRXyjbfAbh/S+3xyDudC3VgZJ5gpYZWlm0ovnQ4kTWHPxQUhcCvk37eBmC9Tqkmwp\nktOMj3Ip8uYgCL0mZVp61GQsAqfzKz7JrwkbSYM4eY7nt4z/+FZB0D5mtnkINj++Lyv4EC8xny6m\nMEiabjpZyTyGOkJ0M5kKYbqYwjIWspJ5vJHeg89/8vuiq2bKn+Of28oVF9/CL887mbuPOJVDDnwK\nuuCrl1zJHZwjMhe98BtOZMknrqVKiI/wNE2UaGWAr5z0DX75yMl8/Z6v8mJuAUc8/xJTKl3MXLON\nVHfZ99VULUidWAYRLjNZZ7N8nV7M24p0vBvZCe+3NKbtkQ34+mkgV3EjvWSpwbr6dkbwJUfM9S/M\nCJGiz5ONUxASfiXvSUmEGTHlxIpHzVBB6REaCVNhxKD9KqwaNaT7RipMZxNJ3iROgVQtI/HPFn1E\nVTl4x2M3jF+75CEmyXqyE+Crlw83i4qv47pUwqPYNYHJrZqv9VQ1QoFOEOV08C/iiq4ETFExCvqe\n7IOuo0GkiJzkus+gvk4xsH4PMAiHfGoVPLEU33Ctik+ab0ISruBzPVs02GniFXysI2i8DTfwJbrP\n3os37n6V5mKbB/+eccn/5MHFJ1P+jxQ4FtT6YOUQnHogry+ezd1fTzM9tolDeUHUie04D3IKS79z\nrsz+TobQ3CH4NQxekqZ5xnYKreOhFWawkc0D+9Jm5SWodQGfhptf/Yq0iJsuyR/Fv8gj+aNY0/xJ\nOuihk27yxEkzyF7ju2FgG4s2P8DmyyfQmetlJNLAxvB0Dnhmw9iEywTyupLsdzxrA7+lV3Y2QxHQ\nStgXXpXnjeanr3nJkCJaYYN2qd6XmGI3ecsBD0ofNpo5ap3VSMVTuA8OLZvIzFBKklmSNJOnYAw/\nlCuWJ26Oxd+Hzw3ayRZu2EX/7bvX2BSb5jValGhinJv1k5PV+KbZ5mKYD8e9c6LVHcS1pSTkUSYG\nkb/8ZvzuN4exdIqc2e8Q0jTjIMixqtUHJ5db8ZpWnATkw400lssU0zIhSTPAnj3bmX7LI3DrX5Aa\n2jY85L6gXdbGymygBSaFJGbosamOWNA420GSMK0obEQSswjcxBI+98ff8oWjb+Ml5tNBD1GG+Td+\nwOOfOZblK46WpK4LuBVeXnU4fBSyByZZzyyRpkBcBpaxkDt/cZFQH06GhtlFxlsFVrXN9Y+pFTro\nYXt2Mmc2PQRfNssXwg2DX6I60OId961HX869fzyRbj5PiSgVGnnp9UM5dM8XOHP8QzAAS+o38ffD\nZknzzZxGNjGDz2y4Vz5zDPiAEOcd1+VNW5KPYaLMir2OpaVidV9R1wDlK6t2ZEyucVvbxrNnbTvV\nqUZTLiOvFec2SGMF+PyzmujN6SQzmSsYFXtR8O9OTPDcPQZJkw4PEqVEO30MkPbshaRru5G/M8tI\nTXQwi/U0MsIWYzu0iRmUjEWTilB30ymnhBOjm05q2EbSYicnkbth/NqlELAGY1kQLZap2cLPaSpU\nsWtiG9NYrhItlonnqp6opsL0VlAmwixX/g9BL0gYayUUfLyjGCr4s4xgG7ZyLBQZM5wv+uCpSw6B\n+5cj9QBNroI72PECWuOtaJeWI8EvQwaJ97pdhm1/mQkHw5nr72O/2Gpcg2CtYi7lrpQExhp43LHe\nv8HNUHh0PK9sms9fOJAVzOd6ruBxjuWyr13DAbe8CP8BF6Zvk1m6Ft/N7PEPZ5wknI8pSGwuAP+F\nwPF3IAF2AGiWrqG9nPV8aNPfiLqSePyMz4oe2aOT4Bl4gcMIPQWPh4/lIU7BmlDHmjWCNWGEn885\nzfs9LP2dA1prdfNb1Hf4c+q6ojItwoRyDglHUG1ixCx21EuoBAmTk0JLkFo6VCp8hUavBKllxyAP\nTG2ZtNwYNv2L4HdTNlKhmbzHF9ObziJ1vy4OFqPeMbjvIgrV7Xd+e3+8s9HICFHTvDFIq9hdaYMO\n+JIC3UDGb/5wcGkqVOksbqOTboqJhrFesXrrxu+cHgy88SA+elxEVO714t0v78UIY6QDrbLE2lA/\n5n/hsueG7TzacaT8j9mbsbFH6RMOkvGZx0EukyGre1I1+nwOgmYFw6GJEwOkYRxcftettNHPAGme\nYwGr2Y8eOiRZw+zHQWLP/fDSG/N5moWsZxbddPIrTmcF8/nXs25l5k2vwBPwhfbbYKtY4xDBU9p/\n5d8Plhh1MBK/ssAqqN7fIrFpinmvpHgidtLNxZt+SpIsiQmDrGUfE8Mg9XyZFcxnXmYNm5jBSg5k\n+sw1TJn7Ggvm/4E/zj6ccGWEmi0JyIjhWAE+KqZIfg1MX45/TTIxr2YLB42wSb4U8RyF2OCo72Ws\n9lJD0hQSLxaMPZbEsmilRKgij3Wy18Sw6d4Oex3y7fSTJIuKTNu4xMnTSTdJsrQyYBqG3vTWSfIm\naSSRa2WQVgYZpQF1BakEP/s7HLtj/Nq1ErDROmG3wkhEOj3GZcpjOtdU+0sRL+V54Qp5tB6TkqNV\nlhO0rkEhCMMrgKRomAINChPrrEXVm5vxxT+V86XlSQ2qfcBr8P3LPs9R1u/xkyRFuMyMiiZ83a5g\nGVI/pPK9ghfZ4LIUfoIWl8e/B44Hfg8vfO0oL2l47dUPSqAa0N05ZrsMlJeJGv6jFi9t+jCPvX4i\nA7TyWX7Gcyzgle8fzJF/fJSb/vBVcOSiUsjG/QD2YmC/DhLADkdmqGb5J/NL2fSPiUzN9LKZafCo\nRcvqKj/ifB7pP436ty1GzrLga7Co/QFKZ8Mp6cf45rnflc/0RIhD9nyOQ3nB50Zk8L3nhvBJ9rYp\nKw/5vz/Ib6bIaDJXkICF+kTakswXC4RHRwR+LxZwXBfHdUnmZPreyIgHv0cZFl0wCl7CJL9qCe2a\nFEHN/Fv8zlQlv9WwjzWZqpnttFSpSZ1qgyXJ0kDd79B8FzpgrvPOb++Pdz7UZzBLknysmfJMBPWa\njOQ0xr6nOFc62RQ1zSaaycYSpPrLxHpGKU5u8PXv1BfVxpcxCCNIyTT8RiO9AAclclJIOUzV6hNy\ne6MjxUgkRLnDlDRXj3LlzK9w4tFP+rGNLrPTdrOjFiQjWot0zeRF0V6Trxoy6evCL0fORfbXi0/K\npy5xYx1kc0lZfg/88MbLcHHoM5ZA/cU2P8FTn0gQ3uutEXqfnMYLHOqhLQt4jqf5CBt+cQAnXX0P\ntzxzBfTLZCo0ZUgSwTmB452BR99gEWPEsI987lGevO9QwozwBpPgRYsZbOKK8PX8hHOpD1rUH7Hg\nx3DJjT/BugI+8/F7ueWeK9j85L68vmI2nXQzhS4ay6PkibNPZjMdlR7CVCRO6e+mnZLKMzb6ZXQj\nCfRWiW3pYoZqzJSu1f5uBF+aB3wE0iCfkX6IdEvpco/+DI3lUU8gN24wrilsIUqJKWzxEq0eOqgY\nWkU3nd6kUJXu92I9U9jCPrkNTKGLERrpoYMSTXTS7fndqi5iN530MHGnpXR2x/i1SyVgWh5SpKJm\nS5ZvG05PqOhfXK0cxHpGPQ5XrH/UE1ytR2Q7S+UmtKVXZ5SaePUzFsVSgr3W0QNWIDTgdxvp7K1m\n1u0HToNLrdsRNqUmV0quh7H8Ly0t6qgF1tHnwbNHuWIH4s9GzTZfh+umXiqf6S44k18wnY18aN9n\n4KNIh9EUCKihyfa9yyUJ+71FYsIgx/Nb0gzw0r8fAQV48qkTPU5CkiyhiCm/ZfE92yLm+5mNH1zL\nwDXwwG2LmP78P3gidTgz2Mi9l5wIGTjhwadEBXs+hI4xX9FciM4Fay4CHK6U259WHMlq9vNlPtQS\naoix3DsVw9V1zPK6IenXIxK8qoYnEargOSaMREJYo4K8Shdt1bgqhIhWpNVdZQB2LP9pslQwEL02\niYwQ9kQOVW06awjGUp4aJqiK7/tBCnE/b4g2IzTSTxsVT8y1kaAI7Dsdu2MA29VGUDduJMAfrCpf\nMeCkYddGiTKMi0O724dNTWRRatLpG9s66kuzKP9LbYQw+1H0pMU81gYV5VH24XOIVMPZcF4bGcGu\nuURWAGsgMy/CNQuuNST5utk4bu6rSCORw1hKhBnb8Et8XfilyG2BY21GWBkAZLwuyvJVKV6bNFM+\nx1NwKvfTyVZmsZ69Yuvho9Wx8SaCxJongBtg8/p9aaTC8fyWKWxh83f2BeDBzJkSTxKMtb9ZiXDn\nNJYPmP11BY75Y/DU90/gqCdf4DecSAc9XHrWdSTJcqF7G3s+s10Sy4OR64aRFOEI5D03AuvgwdzJ\nvMChZBPNuNieBmUTJZFM0kl/AknOp+I3wwcbkgwFI7JBroON5VGvDF2LI41U7eY8sPF8PT0hXVtI\n+tvbmuV/3WKQR0R3MEuSAdJeKTFP3PC85ACyjCNPHNU6bKdfzlv6cVwM7h828hTDNFGi2SBpRWL0\n0e410rk7GcN2x/i1SyVg5UbVKhGdpuHmEEPtIUYiDRQTDVRjUtMGCVD1BP7Jphdfo4JfV3uhoI+j\nzho1v1HukCI5QaK9niMqNaFWGcXAPozy9HmX3Iy1Tx2ZlukYDty0jDi8wy0TWFcVDjVJ03Wqgefb\n/N17pP2r+OrDN8Fh8MwbH+LDPMctPVdwJd/m2gOWsPdlL8NF8FZkLQ88Bhf1kVs0gdXsT5ZxXP69\nb7HpaxN9hC8BYSpUs3H/OwJJuMpIMjYbIcp2IUF2JRIoV8IxrzzHqmcP4rSpj/DKkTM585Q7sRbU\nsW6qY/2jzqGrn8QaqTN/+TKsD9axHqvD0rvgxz+Fg6/ik2/82ofh9fCD5ul6YXMF7SrHTJdri/C+\n8omQdIy1NRjivZxLb6YilIw4YNUJ4To2lXAjrtNAJdxIyY56PLGSHfWSqBJNuNjGnkhMfLXDUU4X\nsfDYEWaX0mXYEyuUdf0uSiXbBzslRfV8kDoN3rrvRoaiZje849v7450N/R2HaWKAVrIk6YlNIJto\nZvucZtZ17snQ5BBDe4foiu1JDx100k3JFnJyxQ6T6YgItUInj+qcsQpJyNSfVuNW0MMWxlIregKv\na0PSENQn+xML2uC8I28mffawJA7NIMZeLfjZ3lSks/oNJJbsjcBGAS/aLBJrFfnSpIvAY5WkILDu\nj+E3oyfCN2D5bz9IR6WHC576OcfzO5ZwMyfteT98ui7xJYskTF1mn+uAc+DhFWewln1op5/LvnYN\nL521n6DjJkl1cKkWmvwkDvwGAvAFYFeZ9+hCYtxDcMVfbmHtS/tz83FfYT178TX7Gqya0UV7o87Z\nv/wJ1gt15n91GVZ3Hev2uvDKvgzlZJ0vuv9JtFKSGNEnydPUTK8g8v2M9QgOoliTzW0m0Al9qYTf\ndY8cezUFucYW+hMpScLUIgr53b3OWwc2JfYUAr0BG9rpZzqbPLrEDDYZ/cISw0TpocPjturk06ZG\nBz100EO72ycTTVtKvLNYz3Q2EidPuDJCwcRMOTWSXo/3zspQ7I7xa5fKEW1qxHJV8glBa2q2Taqn\n7GXxjgtOcdTT1QlpOVDRKOVuhXfQWNGESR8r4V6HQwByN0PLkqop1YDPPVLy/WYoXtTAT8ZfAoXf\nIAEr0DH0Fs5W0DbI2eFx8HkQrQp2Pq7eYRvkPc+HX/zjdP6l799xR5rhNzD1wi7yxFnAc6z/9CxG\nL21CIvCOP/kKuH9vnjnlYzxzwseY8K+bOZNfQKzXn50BRCrQHPG7mlQDqIYQfyNIwIoADwH/YdZ5\nyHycbXAXn+Wehz8n+zMliT9deSQALx10hN8lxR6oyv+EPXo8lWlNCOsOWHZAcNUEWhW6VMV7Hfq4\nEha5iGSuQCUcNN2Gii0SKJVwozSA2BXP80y7FPM0ozpdIo0S9vg7QZ2voJaXli81cRLrjpoX0HQf\nNdPhqB2Sum2eOBPHbLeTGjqA6+xSf/fdcrjmctZHu2mIGUeUYUN+zlOhkYotrf5NlOisdBMtingo\ntsRAT5VeqQ5Kj4jhaz3NFBmdyEr88iQIgqIXdC1f6tDGIRujS+YS6x/lmTkf4idnXyKcJgf5H04A\netMI+mViR63FPA8hCVoVcfiuQnNorKfuJCS5UoRJE6deTAIUkv+zKVsOL2vh2CMfYj2z2FDeG3qg\nnT566GAqXRwwfQWvOAfLPrvwyPRkkf38B9x6/uWE5g0xI72RBTxHb1s3UbdES790dyYmDJKbNEEq\nApoYTjDH9QR+AhYxz2cg8eguJN9cB7/i0/xq8HTZ1gG2wdJXz4VmeOncIyQhBF+Wo7eJuL2dHrtD\nULiigAvxXJmQImemQawcM7wuRTTDopCfT4RoKlSFm9oGr3eMZ3JmO7QLkb7ZxI6ehM2e/9gu7698\nsDY8Wo1SI2p2hhDCP+xOTGCAVlqNQHQbfV5cVMQ9S5J/0DGGx2Xj0liuUovZ5BMRjwOmoqwbw9MB\nyJMmRAvddHrc2J0vQb438etHP/oRL7/8MolEghtuuAGAQqHAzTffzPbt22lra2PJkiVEoxLDH3zw\nQZ5++mls22bx4sUccMABAGzevJkf/vCHVKtVPvCBD7B48eJ/+t67XEQeSIn1hZYj6xG5gCr3i1rg\nwhv0ZlQkJGwu0Nq9GES3gj6NmpSl8Y1RE4zxXvTq6kH+vJLvu+H4yx/gMesIBPnaUatL+V+KYgUh\nnOoO6wX5YMGEzQnsV8fQDs/boPdXnEgXn22P0ZQb5NkLj+AmlhiDVTi+/Xc8yiEIyta3w7GEgMeY\n9CDsx2r+y/00LY9X/eAdFv85lkck4CWR4BVMWDciweoJuGrfK2iixEvM54ETF0lAOk/2ddPtX+Xp\n8z7ChdzGuQcs9ZPhz5mLSUb0u1xHOrIqdli4WBXf49Gq+QhnqGK6Hh1ZpkKrII8rYWgZrErCXhsl\nlitTNmVIx3VxHemodSyX+HCBUkzU8fPhOFG3xIjZV5BsX6GRghFX9WeFtiemqqmXCrKWTJdkIyPU\naPK4XSOmKzLYMWkbVPPteF5Khn1XZtzvj/d8xMmziekekVnM1LNeCXmq20VjuUp/rA0Xh2w4SXc4\n7pH2O+n2LIpI4f8Pi0gSoH6CJiZ65XlVVY/hly3Vwqtmls3Fc5YIrYFQbZQFR/yB5fGjTVI0CLRA\nROUm6vJGnkKyxqk4IsyqMaQPBvYAJy0J0Tb8xEYnxyBJ2QDmvZr8YysDz8KSI2/ifk5lWuLv/HzR\nZ3iahV6H8D6s5ZXswT5q1Ysf25uBNXDMsQ8zkR4+y13MYCMuNnk7TksiQ4kmcmsmyPHMxi9lJs3+\nusx+flzl83v+EIAHOYXtTZMF0b9ajvXu7s/T1TmFjx71BIuP+hkA7cXt9F03nk3MoJGK54IBeDY9\n+h/PHBFhmCjDiSg9iQ72qaz1kPZUf1kQMaC4X4NYKiHyIOWEUbd3YZybFXQ/1czfmcVM4lK+Ztiv\nXEyT4x1Kh2jpqVINy8QwzSChbihPlfNn2CRMeS+muURr22kNm0YDAk1YSGxyEZ3OSqyR1sqgp5mY\nzuXIJ0pGT0yR4KinX6jOK027mBfkRz7yEY477jhuvfVWb9lDDz3Efvvtx0knncRDDz3Egw8+yFln\nncW2bdv405/+xE033cTg4CBXX301P/jBD7AsizvuuIPzzz+fGTNmcN1117Fq1Srmzp37//jeu1wC\n5sHiiN1QJSwkQi0nBm1m9FpUTuF1RSrpGvA/XRH1p/Y9A4PJlQaqHvwZpm6r+xrFh3Z74PeXH8Fj\n1mz8Fp1Q4N7B82P0likiBj6qFRzBpI23eR0w9htjt5Hy5lr24Y57PsFeZ6zny1wnwoKq+LwKRB9i\nx+TNT/bSDPK7Oz4pgV9JnOZQG6mIrtiXkNngFPzgNwUpcb4IB+z7ImvZh5N5kCuuv4U9H1nH6/HZ\n0Cjrnnjevbxilfle/Uucy9IxKGTEmAtHakBlFOxR+b5MYhwaEg5E3YFa2KCfriRfII8F1TKHbZTH\n1Xxbyo+j3nkSrlR5MyWt4c6IS9lp8GZ+8Uoe15GkynFdj0Bv2yJiqImY6jwFifrKB9N1ouY3GyHs\ndTzmTcBU30gN1hqsSkSNFphLnmaT3DW+Ow0wwLX/P9AWtBuMNvoZJO2dNy42yWKO1bE5tNYGKcUi\nXot/H204uJ4URbRS8ieMEXz0qwdJvpqRv3EfWM2MjWWOeS2NyFaAlLD68LlESszfAg8vOoblnUf7\nJTn6ZIUpSFhzLKgNIbEozVg5HY1lU/CoEcr7Cso8KSoWpHioGn1wYgsSw1ZdzHfnXsTtnMezLKB3\n/TR5XdFxByN5UYdmawxtJM0gdz3zBapzxcMSDG+zJhMYlgGfLsMyM5mciSCj7QAAIABJREFUgcS5\nGcCX6vB7i+P2fMSz39n+lckyt/4YAvTNgGM7H2J56GjWV2cZbUP5jfuNJ1Qn3UQZ9iZnUUoeiqSa\nWUpwt3HJhpPE3TwVOywIWAeQEX5gJSzk+eJUmZC6k11iPaOeyXt2qu017lRNLGFqwdeDSxledVom\nr8liTjTEXoNIWKga2tXdQV46GnMFhptD9NBhjLUbjd7hMJuYbiRCJKZlSRIND5Ms5uiLjTfnukOj\nUc+fSA81bOo0eNIWGuN2ZrxX8Wv27Nls3759zLKVK1dy1VVXAbBw4UKuuuoqzjrrLFauXMmhhx6K\nbdu0tbUxceJENm7cyPjx4xkeHmbGjBkAfPjDH+bPf/7zP03Adqki6SgNHvemEm7kzVSEcEXq3MW2\nBsox0QKrGpSrmGiQ5Csn8K3aepQThgMWFi5QdaJ5ruJ4OmvUAKDwviJgQS9CRdmqQA5e+dRMrK46\nx1nXI4hSUJ3ewSfMK5dLl8NYaYlhJFrq+soVyweeB3lg4Hs8tgfeMw3sx++vOpFTz7ibdvrlgp4F\nLoLIRzOGhB88Lo2GisSleMVqGWuppIEzAf/C3bDyj+x5usHXu/BnoScjQe1+eOXGg7n39TO5oPJj\nmASvL5gt643IfkUBeRmb+mb4LfTKsVPbDQR2BwkQdb0I2ZJYW+WA+bq5qFgBNK5mixl7qOITMR1X\neBeu0+CdI/lEiGhR1PBdx/LOOZAOSbsmGl8VW95kRxFBDbIaANV6Q35d38RbpStURFX1vhyv07FG\nN52o2r6LTRt9nkBrED0Jm9n1zo6xghf/vdv7450NJd6rHIX+5mtje9PFFNaG96GLqfTTzjBRxpH1\nSjqey0GbeP7RB7RD8YgG6XSeBkMzQ4LgJJAkpsfcJxD0RLvfIviUDO2mMyKtrx4/DWt8nZOnPi5x\nwgEP/XIsWVYDanVZxoH4NIiWwGPt8G5HrvL4NARVyFdS/hrzPGluhBDkbFASska4bOoPOXbuQ6Yx\nwaa/rx2+DtP2fZXIHMOXbUbQtWbLR+ONvMU9H/gcOCJgGy8WKNFEPFeGCnyWu+AhOHyP53xpDJAJ\n6lz40PRnYR089sbxPO4ey//iX2Sdi8x32iDrlohCbQXbX5mMTY1B0vTFxtNIhSlsobUySNitkNpQ\nJtVTFhkNhNvZZCRmgjY/JaIM2OIBmo0JWW9oZsjr+B+aGaIv3MaAbbh4NZ9eo93SDdTJE6efdja3\nTSAzM0J1ImTaxB1GbIYkmeN5PI6gtVV4YPuw1phr1xhuDtFYrpIlySBpr6txxHQ9Ks1CEf88zfTF\nxlMgzmAi4cXCJkr0045j0L9GRphqFPN3dvzfjF+5XI5kUmJ9MpkklxP0JZPJ0Nra6q2XSqXIZDJk\nMhnSaV/hP51Ok8lk+Gdjl0LAnFEXGkSbJhtLEK/kPe++EQTRaCyLl5leSHVEVBOKQClK5atcvO4T\nYKx9kFpCKN9L+RNBLTCjxn7lOV/hmq9cC7cuwyfWw1u5W5qU7cgDA588H+RyBdWmNTHSIBdkvgdR\nsRb8zqQo0MMDDy9i4UnLeHTTqXA+cAOU/yslyNWY99T31f07wGvUzwbrSQJq1/LSQb9bA7RIQvUi\ngoIl8bshazZ8GkHaekPkmif45Px5iE/lDfCn248EpjK6MSa/QUfg7QOoplUDYnh+nyHDW9GzVcVW\nrbIwUeoRH/ECSaCqYYHvRdKk6i23a6OUY3heo3bNxa7VwcHjfOXtOE22jzZW7PCYP7MGIeV11XZ4\nTWyJxvqeadejTc2TqFA1fWAML0ITOUnWbBqoe/t+Nxywd9NB+f747420MYrWMkyYCoOkPeRD+YEl\nop6eUpPxSY0Wy0SK+OenW4U24S5G02XPyQMHnyKhdjVqwI15rhZejlm+ARiA75/xeS79y+3SAd2M\nL6AKePFBy3s1nQCWkInhBiQGTWGsRVqLLFLivSJhXeblSGCfygtzgJqR1Zlg1uuq8oefn8RRn3mC\nx4vHMnpzDM6Hzb/dV/hpycA+9Ti78Duza/D6YePZc8N2IjmIx/LS9Qwc0f8SFGD57Ucz7ZZX2fyG\ncJTYJo04JaIipbMuQuaJPeQYVyHx7dPmI18Kyx84GnEWgeQBWXrooNlIOYDpbC2OgitAgHZfphkk\n1V1me6fjIdmNjDAjs42BVDN5pEuy7kjTD80lKrYkOP20M4Uu8Th2gB4Y+kDIO6/acb3ErocOhoky\nmBihRBMzKptoLI8KGT8INLQBGV8gOtVfZigtXLORSIOHxAOeAbecwz2UiHqCqq4x2W40mmKK3KtX\nZxdTCVH13D1UZX9nxv+b8cuyrPdkv7tUAgYCk5ZiEbkQhuM0hitEi2ViuVGqWmIqgh2GiCHk4/oX\nYceUoiIaoHYk4YOv/RUEhMBHv5TcX/DXu+vgRVxjjSCYdNAaCN5aWlRkK8gL0yQrmEQFkzgC27zd\nz6LrBhE3NdxGPuzXYeSkRrjGzA5PXotfIg2WD8BP+PS1FhrOq1M/yBrb5j4V2AKfr7/IT6wqzPmg\nWBwp+fVS4MshCZDKDdN71QpLA1cul+9nykI4Gc7e/hPuXvV5qlNNOTEliGYpHCWZK+CaBFtLh8Ex\nEhFHBPVxFBRr7H0+EfESoEoq7KNIMdH80m1L4SjOqP/HlvbrEQZpNabZzYQDnTuqaaOkeBdfSlXJ\n9vqaImFB4r2voO/bGum9vkcjIwyS9oLgKJanLr2jvtg7Ge9GxPX98d8b8UqeCVtzVNukDKZds8oJ\nS1aydIWnANBR6aGxPMr4/oL8T0zHY6QTIomyR5lIrTAQb6eRT6ngS0s049kTed3gStlQqRYT155d\ncCiXHn2MvDbPbJ/FNNSkIZL2EySA3igy+wxBczsUHCAFMyw/RGWBguGMBUt625DkRRM81f/SBh6A\nCSEoh3xUzAnBcoh+ZpjC78fLBO58JITNQThkQZRttvn82/CkKabc1k99bws6IFUs+/PMVXD3X0/l\n7DPuZ/O2fWXbbeaYFsOaVw/y+WXr8JPTjeb+MOAq8/6nWrAUrj/9y1y/4SremJkiyrBnlG6Z5olw\nG9gxl0FaGSFPuKNC2K3QTh9Ru8Qe3Rnog/HFAm6nuG2UYg2kczmyiWbUBLuJElG3JAiWAQlaNleJ\np18nmcoSp48S/aidUCkcNfEmKQKtGTwfXeWYsQHogI7cdnEOKUJLTnwq3b1HCYcrpBkYI1Dtmsll\nO31ML26GGJ4+oh7z+P4CvW2yxSZmkCXJHLJUTQny3SH4Oxe/7r33Xu/xvvvuy7777vtPt0kmk2Sz\nWe8+kRB0MpVKMTDgS5oMDg6SSqVIpVIMDg6+Zfk/G7tUCbLaICbb4coI4Yo058dzZUqxiPg6GmSr\nGvhcFVNm1NKU5wNoUJN6Aj9YKNoVnKUp8mJQlzGAkwtkoPOMv9N1VSdjpSK0hDjE2EyuGng9Y+7V\n61HLicGyYnD9HUfTDo+D22hJ8SU86eQ18MVzf8SdPzsTVv4F0STTkqWqWgeHHm8TkIL7+4Sou6Pe\n2Uy4/Q+XwrrDgedhWx8UqlBbK4jYKqQLtPcvkP0p1OCA7S+KoGptKdTWmGMcgq7lMPAYS/c+V8yB\nA9y9WG5Uki9DMHadBuzaqAfHCzm/gaZClXiubLxAq8RyfoIWz4lzQqq/LOdPsYBNjfZMjo7cdpLF\nnClHSqIWrZSoNUgyF3VLHh9LZ65JssTdvJGckJmmlhJAPSSlNOiYMpI2P2h3Y5w8Lg6O2V4McYdp\nDqhLa6BtMjIVcePDFqbCKA2ex9r7Jchde/SEBYYK/UOejxBmWn+v91vHcqMM0CoyI+GobxivHYph\nKHfgW3HVELTCyE5YPcjFU+mcNp61kBe3HIQDlkFKj+vgC1+9kaeeOkYSoGCHooatcuB5r7l5EhNV\nkzSlAct3utD7AmMnXQX8bscyfqKjtAXwEXTlqWKOqwsuuuNO7vrk6cI73YgpOTJGnR7MfoMyF2Xg\nDqjPZWy3ewKYCovueIBD7nlKuGCPIvcPAfeb26NIzLpVvocj//ioLFdpCn3/J+T23Yu/ST2Nx92L\nFMHq99/Tqo3V+CvZUfJ2XMzOcX0UswcmdOcIM0JscJTQBjziQgc9zCpuoKWnKknUa3gdjlYZom6J\nWHFE/JIreRrLo4TdCsNEaXVNQqCekypkrVImq+Q8tbbie4i6EOmBKXR5NAkl6QvXVXiwpViEZtNs\nEK/kCWWgNVOAfpmEiBeq7fFchQ87TB9tOx1XdjZ+nXbaad7t/5R81et16vW69/zAAw9k2bJlACxb\ntox582TGMm/ePF544QVqtRr9/f309vYyY8YMkskk0WiUjRs3Uq/XefbZZznooIP+6WfapabEFmIT\nA/gdaYmIIUdjLBj8i3LdMUiX44tugpz42k1n14R4XU0Z7pCWGx38P2cQBdMgthX+vHgOH7pzNVi/\ngW9qrhpMirRMFUTD4oF1Svit2lpSfLtORwLLgiiYJmrz4ZwWYw+yAcHd9TXtN44Cgxz/0wd4zDoR\niS6TAsdaA/YDXscXVgx2X74EPIN1RZ1H/noUx+ae4tuJr3D1FdfJbLkf6r+2+FL9al7AFkgcl030\n4mJzDC9y9ZrruHjO9ZzPdKYXN9N0Vx0J2hOBV5FE1LS1r1vK5tkTmNbdSz0miXWohufjaNX8JgyV\nkZDEyf9EWqLExgioYtZvoJgQmYmRSMgk8Q1e0qXWViDnWXOtShWB/rUsGC2WcSKuLLNdwm4F11aD\n7WHhl3gka8fTywE8Q245G/IMG3kJWVeCQpjKGGTMxfFQribDgVFUTG2Q9H5nx/sJ1Xs/8sTJzIyQ\n6i+jZtHJNuF2rWY/1rcJupkkKw1HFeE6bk2NZ1x7lpbBKpti05gY65GuN2PajWMajGIIKr3VvGE/\nXgd4fW/DD+pByPc5GLosxFS2kFmwB988F0latBtRS3dlgD7xeSwEbdBakCu+wiZTgHZfdHWVWazJ\njyZSilDpzTGvnY+gSyqCqhPhAj4UsA1OPeduHvjIIlhj0P4gCX8GEtoGgG11s6MQUIJsE2zrouGy\nOg/87Hg+6j7B/+r8Fy66407PLeCFa4/iq89dyTIWAni8uxJRzuIXnLtuKRffcz0X8kOSZJn4YlY+\n9hQkeVUnkLLc5xMhRgiTGizzRkeKPYoZyMH2uc1008l+udeM5+I4/79fGWFcsUy10+h02eJKkC5m\nxJOz3eYfdAhqWsxJ1UcRLBCbqQ4g7YuXhyoQqgi9orFcxY65krRp09lM8zP2IzxorQxtZSz4kJCO\nc5DYFZTW0fM2yzjT8SmF9unhTbiTK7QMViEFfw3PNXSOEeLkvQnlavbHxS/BvtPxXsWv73//+6xd\nu5Z8Ps8FF1zAaaedxsknn8xNN93E008/zfjx41myZAkAkyZN4pBDDmHJkiU4jsM555zjlSf/9V//\nldtuu82TofhnBHzYxRIw8BMvFwfXMbojYXDDwqsBNUs2F+PwWPkBMOh7TerxI5EGqI16CuiAX5rU\nLsgaYz0ftwLHw4fOXQ13qL4XjCXRBxGpoGBqLfA6jE10qjss20Gd/i2cMl3WBXfsDwyBMxNqqra/\nQxsRXaIcf38ITlW7IkXt4kgCNMMc22tmmz7ggzB3kSjnT4LV7E9/op1rllzLCTdfx/xl0PupBBPW\n5fgNJ7IPaz17in1YSzt93FL5N77ReR0/yFwhM6otELp1iGrvcYbj8T/k+AkBz8Py45jWfTZg0Etz\nNBaALTyYcAXPcB38hEsRMh36uiZnfuImyvaCMowy3Gx750RjWe4d16VhtC7cDafk6YEB3kw17FY8\nMr4mRUE4PFg+BF9GwpepcL31VI7CO3aTVNkew8v2tMeC+3UC+9/Z8X4C9t6PftpIM4CTdumhA2nZ\nb/bI2MM0efPzmm2TmWqT6i+jXpDFRIPHBwMkLrUBiq60mE5wpUooF3YvaT6J9YxK0gNwGIwbeJPR\nRTHZzxA+j8ohkHyV8Dog6QNmGoRqB54XztiORuowyfJRqGZ8xfpefJRLka5HzeunIiiSWhc1m884\nSdYboBXuqMOMkI+yKe+5ZtYrAwWNeyUgKoT5SVNhjjT8rLDnc/Erd3DR1+6Ee6B3UYIJq3KsYi5z\nWcUyFlKhkQ/zHHni/IKzWDxxKd8rXkHkNfm+DrjwRV6JHCwl0I+a786UNI/48+9pWVelhRwUYA8y\nnqRR2K0Qt/MMN4cQ+QfR2WqkQiwn1Jnh5hChISkpt+UygprGRim2QbOdZ5ybla7FBP48O4IkUaZ5\nKVocFbWQjPxEdk2qCnbM9c8fF987VNX3Y0hhpIxvAp4B0nKdTBZztMWkm1eI9NJU0kY/aQZYxVwj\nL/EmjYzQbvfRUsxQTwiHVRPbMBWvSUBsiMJeI9M7He9V/LrkkkvedvmVV175tstPOeUUTjnllLcs\nnzZtGjfeeOM7eu9dLgGLFqXkOEIjti1152ilRCnsiECmGYpuuU4DFUY9XlA8V6YvJQR+ENRENaYI\nEPOx8YXotaOuB6jAd8+4iCtm3gIbl+MnX2pAqEFJeVh5fG6WlhGVAdu0w/KmwD6MgCHgJ1pvJ9I6\njPzrX5PlNfWbGMJPqgaRf9kkum+fgDW3jm+D1G7WzSNRTo+/CTiMe+sX8KkbvwynwYbOSbS7fbRs\nqfLdqRfBRtny4SOO4aSn/gCD8PTsI1nLPqxnlqdxE6XEZ8M/44LwLXTTycLUMpbMvJkrYv/BNeuu\nNerXIRF2nAc4x1FPWN7XWo9IElZO+AlWsKkCJMGOFPF4gB5B3yRibkAeK4h2uU4DxbScBy2Doocz\nErHJJ0RGQpOtkUjIHE7N24/juozY/o5LNOF4cHrJs+ZQ/pdPrvd5YfLc9vS+srSZQCxwfg3b45Vp\ngqbba1ekdlIGSf07M94n4b/3I80g41y5+LjYdNCDi8M4c0EaNlbdKooZZRhqUsZyXBh25FwpxaLM\nnLrN68SuTxa/080dE4gyzIS5OZ/bY4Q7Y/2mFF+Dpcd/krOvv1+SHk3Igvwp5WJFgFoUavv7CVNQ\nUJUDkSt8Xt7kYwgCNAOIWGOlJzQxaw7sR3lgDkJd2NYuF/0p+GKq2/DJ9MCyLcdhOSN4Yq2Y19eZ\n91XOWDkE8+DuP53Bot89QOb4CKv4gPE07OI5Fsg+w/DikQdw8DOvwDr47eRP8rfUTE+Tr4MesiSZ\nSA/XJy4TYvu8PhbzM87hDi7OHiwJzBzzWQ4HzoFldxwHn0B0wvaGTEdERHRjgkyl7QHytvzGrZkC\nW1PjSRalkyKfCAl6tUG+h5BSZQoQs0fJdkiCTlvVFxvXa1Qbnt2UpUlVDvg7hIyMUDxRkO0yyKVA\nv8c2fOZMBEHSesx7a/e/GUKdsOmjzRMSjpoGkyZKdNPp2ab108bAVDnXB2il2SD/adPu3k2nx49N\n8iY7M3bH+LXLJWD5WDN+e79/eB6aYCDXSrgRx3G90lNTQVAl15G6eLQ46pHyvRHUD1ORVhtf36sI\nTIMr4rdA4TEkwdGo4vL2XY+aZGnSVEXO7iBqVt1hG32sZcnQ27ymQ5MsTeLyyD9KdcP0O7Ih0s7i\n834I1t/wk8Rgu/gwsEKOb+Ei6j+y+DmnScI2uYQILprEbVEUXoSjvwoL+BIn3/O4BMvfASdD/csW\na9f5R3W8udfnkXlwded1XNMbg/LZsK0ir67ZX2bAOXmroK6bol2uI4mW6wgiKgiBkPQby3KRCVck\niLlOlUjRR0FHIg0GAZOkXIn5rjNKPhEhWizTWK7SVJNuHwA3ZFNqiBJ1S16Sn40lvGSnZtuMGA7D\niBFibTbBKUi+VzRLIfcaYlnUZNTtAbOdY9AtIeoPe9iXj5Rp0gbQwKjXOfRuhFjfJ+G/98NFEv+B\ncNpoQpW8RHwc2TEXsoLpjJTtHEqxBuK5Kj0pkR/xEIuIQbdqo16SX0/nhOyt4qvgm1bPhbOX3C8o\nkyZEQZQfxvK4IoxNnPQeBL2OWDDQ4m+vZPuaeawhUtEx3UcysE4XMJDyy58z8P0XdbsBYDacOfVO\niJuYqPsu1+U4wOeXXQXDl1r8gIuwZo3CiZYvkdOKdGuvAy6DH3MehzgXEDp1iOr2FialNtD92b2k\nHKqNQ6b0VnoGop3Ax+GiiXdy8c13CJPiL4icxhwkCSshCU6bUFxcHEhLSXkgnPb4pCWa6EvZFIhT\niMVJxqTztWRHiXXkpOJifmdyMiHdoycjXpGB8O4Jjitv0CRhXgJW9I8nrLZ7phSNurf0I4wQ23yv\nSsFZId89yMRX4p9cc/PEUUmcKXR5mmbtSvw3XRVKoVDOqzYNlc0MoJNu3s3YHePXLvWJXGzCbgW7\n5lIyJcd4scBIJORdGBXZeNvtzaeRLriQZ7gMvMWo2Qs62sK9Fb51xuVc1XQ9lH+Dn+SAn8xoshVM\nlLQrTRMdJccruV23CUpLwNhyZnD9HTlhtcBy3VYTKmXiVoEGmAA/n3kBsBY/IdT7N8z6G2HRF6l/\n28L6Wx32XgY8hofULTqdPe9ex585iE9xH4fyJH+yFgTepwp3RWE5TDoKNpjkSZlrVYw62hMQug94\n8HxoThstMqBrKTiLvE5LlRTxSs8G1RQNL0E0h9LBrkf5nUci0jI93Cy/xUhE9GvE09Ego3YY267h\nuK63f0VKHdf17usNUibI2/ExFE7wy4eq7Aww0cyY1XB5mChBP8ggGhZEtJT3BXjEViX1KwqmiujB\nrslRGgwJtuIpau/MeK8g/Lez8rjvvvt48sknve6hM844w+NE/J+sPHaHsYUpJMNZTxZAGyxAziWV\np4hToIkSqe4yhCFaKdFYHmVLSjQZ4pW8/EeMtlcsPAo1uYgJNzZEi1P1ZAn0/spjvsI1R18ryZeK\njToIf6oBXwB1AD9JUgJ9K37jjXKzYKx/4ho83S0m4KNZvfiJFWZ9TeI0bE0KjU3wkvgoWKO5nwf3\nLPmcPJ5ilnUBXZbfmVgowQ1RChfZTOAf5Don+MecBb4ER172KPfxKb446z/5Ajfy8zMugFaoTmqB\nLtjmzIQLgbPxExgjettkGiI23DCJmc9sE9R+EnKdmAJ8HSlHzpNkyyobWoRb8XS6Jme2UwlDT2wC\n0/p72dw2gaDWm6Dr5n3bDMK5Wd7fMp2rEReGOkK0VKo+0rjFfGd6mVDZpJT5HAnRvRxMJEiGc2Rj\nCSZsMUle2qw7DUnulV8YAebjlSa3psZ7XrdpBox+I3TQw/juAv2dkqmqAXeeZunwNZqF2sAUpuJV\nSTr4h5fIddPJzozdkUKxSyVgIJpL0VrJKPDiGSbvuA4g3mmOkKpVQM51/MZOVUbXi3a4YjhG4M/m\nHGALDJ0R4qqJ10P5j/jSDkE0SvcblILQBGfH7sIg0X7HrzgoI1F7m+V6r4lXkFcWXEcJ/pjXKwLl\n19aadVqQVEjthwwit+iLLLt7PtbDdTj5j2b7AJ/tUXj94tn87JbFfISnWc1+pGr9nGPfgYvNjb/6\nOkRgxeFyRAd2wIYeSe2qyPXiuG8Bn0WC9dy0zKyuMR/hf7P37nFuneW971ezJC2NNBopmvGMM/E4\ndmKHxI2JAZeEhIshgQB1CS0JKSXsne5NW9pyWmBza0saZ5PTAg0lh0tJC5xygO7CafLhUtpwC0lK\ngIQGMNi5UDuxk5mMPeOZsca6jJa0lrT/eN7nfV+NQ8FOyTE+vJ/PfDRaWjdJS8/6vb/n9/yeq67i\nvI/cDfucdYjoudz0XPVZQZzYRxXPq9eXMJ4iOA0jaOewjJdeMwGxBVrgekGuBPWZbof2QEwW1xjb\nzeJiO5vzrSjsuRoQll4B2vx1VKCvonthxZaPakwbkFgPMJ3taf+0lfs8nvGzCmCP18oDYPv27Wzf\nvr1v2X/UyuNkGGnvJjvKPGWqVrycpc0ICywwYtKTB6zZar7RJdWA0aEF5oMR8o2uFA5pxdoEUMD2\nxm1rt4pZrC7osRdVDPgymigfEB3EzdfUo0vDyhCu+4WCsTL9rNaQedQUoO8f9h8xbCBxydeO6f6q\nK7bHvLYfATx6Di2ABZg3bvzvyvPJ/3E5Qw/F8Gxz3WxA2K4qsBu+/uXtfO7SX+Op7KJIjf/6Dx/m\nZfwTCQGvS24iiQN6E7AcQf5S4MvYlG6cQObPYON7p8W4dB2wGk6/5EFqSZHF/adx2WX/wEFE6lIY\n67osTCyfc2oP5EpwxthBmIL16YOuaAiZeBbTS1b8nlJdl6nqzwReYZl+NiESxk+Vj4M5c22cgUu6\nLEAmhGKuRm4R8rlmfws+BV0ls0ybd1fMZ78I7YnQGq0qaFRmiyU4dXLGen41yTPOHE3yTCQz1IIi\n82YCCa7IQWJg3FesdKzjFwDsZzw6ZMQBPJSUTJNB6zhepSzmblGVZiinvUweQteEmRz2ZptvtMwN\nuWP1Yikt1U7jLsgluO6qt7Jj47vh4B040amf4jMMk31t5cem6/lRprNiXd1fxluW9rbXSkm8R+hn\nujIIT67rKxgzx4t/iGi+mohmrIZrwL0MPI/u/5Vi4L4evPwunDjfY/Sqn4EP7uXCD3yLZ//L9+SH\nCrZg4bVXfpSz3/OIdUN77LEKGy9Y5Kv3yGo/BG77s3dyOTdzwW/9AD7+Vbj3hXCLOY1ROJ97xIm5\nJSarHYMNFUBJG44spyy2bGNt1YapgF7Tlur7VvSauKuA2fcLi8Ks1ReqOB9ES0hGZqRJkKaY1Ow2\n86F4guWTJsVWnVphyM72wFHzQ9RoE9rgokJ6Xea33nBpxrQFVxHa9DvtUfja8Dtr5pmR3feJNh6v\nlQfQV9at48e18ti4ceOTcao/83EWPyKfNKkFUrZfjGoQSuPjfy+dwQynMsEByhxm1b66jUOpB4D1\nwt4nQVoYroWOTF4KcOQMuZYrcy3SCSyERUlfGQbk+i3/g2uuuUH0Wem8ACBluOr0tw/TtKMCNNWD\ntZDjxfRbS4BLHa6sGH+8/Ve9dfbigJSyXiqoV5Zs3tvfvbjU5BqaAx3QAAAgAElEQVTz+kGDLtYB\n5QwPvG0d5zyyR/y49H2uNu9pL1Il+SnY1LmfC/b9AL4Jv934lJ1XX3zFBiofbXGkAcMl+PyNL+Ky\nP/2KyCsakA7gmqv+mEu4jecl34G/BC6CR247257rBh5iljGCMCGfk/Y9xaWOE8xPSDVhZgoYkxRy\nEHdZKJXIElGZagkZUIDGhGhWldFvBnlGWKJWynHKYssBMAVNqtfS7i4D5piPYs14ozBLIW7J/TDd\nkdtIhPOKS8t325oEJqXdX89YZ+RpWjd7wPh31WmSp7GxSjpJyAZtO6FQsDUfjOCbUCcm1jUooDY7\nCeknnIo8mcYJ5QMW0ra1YE3PqLJNaICYYUGIyUdNionxVzJMRhAn0tsvSfqYs8JSV0T4euFqEJmT\n5zsm3w177+DoVKMK2f10pIrrB1f8D0dbUej+VjJkukz3raJ96Ad5aW95BXgmjp3T/ejQFiHTSBRa\nRICYAsINLPRGGA7n4FxlybRf5coqTfgWF4qHkALVBjAEZ3/8Eb7wNlm0CJx21iL77nHar/OBr3EJ\nF3zoB/zb350L7ALuh923ws6vwkGTzgsQcXEBMqbKXT28Mg3TmBYjyJ+Ryp5cQ4TGGTNr64QS2HIN\nYdKUFdPqySBOPL+wFkl6QEx9F7rWVwygO5AyFY+xBV/VsGzF1FEQ0s5lLMBSIbUGHj99qKJ5Zykh\nQUzZrsiyZcKsqc4rIW0FrQqy2mSJCWiY5ZGBYsc7VMx/LH9PZHzpS1/iLW95CzfddBPNpnwOP66V\nx8kyQto0A9H9jTBPYV9XGrsbvWFoGFNA5kiPYn2ajoxnCOIuE9GMM1xtQOdsmVhWZlp24mJT0YbF\nuOa6GwR4KCDRP/XQGvWWjSJASF9bg2PKNG15gXncgksHnotjr3S5+oqVzaOCtxaupZGmL1tmHwr+\n1ApjGml1otWTdwDTCwImHwSJLtOwBua+X+S5/CusM/YU+r70eKoPixe4h/Ntio9TsVWjlTtbcKOA\nLybgsk99RYBfGhiG1EbYydN43p3f4UtvfZ6c54PA24F3Yd34x5mjvFS3BEBKJS1rxcst08BWGSZp\n18KnMtWiMSbXQ2sMqmGZIE6YK1UYrHeMFhVOWWyJyF7jsF/FKBeTAK6ueY/6V5B4cmStWPAsjuUc\n8BrDpmt7ZxgbJ2SbWikDkcSqLG3mGGeKtbQJrQ8hyLXo9zldNr1r1Z5H2w+JzGKIFE67CP2FTscy\nnuz49WSME4wBS9svUfuB+ZqXdJJQK5ibUSgXWT5qisiaNM1Q0kvNQs6llyLXwFmfA/AwfPil/5Xf\n3/xxmFarCa1QLOJE9Cubz6og3mevVPcFR9tLgEvQKSBbWPG67wGmz/0KStN9l1040OcfYxD5FT6G\nU7VmkKj5TVjzJno3p7iUz1Ef+rrZZxFneR9772MQ2MDbUpfw1i9/0Gnn1sIXx17AlnO+zsvOhVt2\nS4ehzpxsXUFg3229v+UHf3MBvBue+dFdwIexvDyDcDZs5btW/BmFEJrTaBYkKB0Zdzq/IO6KMSWG\nBSsIs5UtdGgWRFTfKvSzXYcrOZvCa4aizWgGIrL396+9H0MGDBiS6rRmKKBIfcFAQJgCK70mFXgp\nM6X+X8sWVInuS/etfmH+0GrIZfJoA2/ffbpNaAPYEw0oT6aI9dJLL+Xyyy8nlUrx6U9/mk984hO8\n7nWve9KO///VSAhYYIQRFli9U1JMw7MdjoxnbPuhGdP6WL2cADhHbmxxITATSJk4UoKZ0irpqzf+\nIyu/CIhhH3zqBa/gNe+9WcDKGqRRh1Yk+oBkPzIfU+f43QjAMik7QEBIHWHBNM2ojbNVIzZvlm/B\naZEUZCmA2m/2qfNH1Z21gK/1cHFOK8Ezcm6x2X5+D47ZHwR+CFtfyNw3iryF93AoVQb2wN6NTiem\n807VtjHCG9b/DX90z986U9vNcN/6M/ilCx6Gl0HzQ5A/H6ePSgML8Jt3f4wv3nMFvBdectcdQA/S\nJtU5CqyGTdxvKxrBdChYkuO0CrC/cDpnLz2C6dFtmH1JIfcKsDc8k/ExsXk4s/EwYQSzYZZ7Sk8X\nBrwisWJzYRf5EUlPs4BMXP1m6wCnmI9SxfZmDNY7zJRWcYAJJi+a4rS5RQ6NDbFqqi5pzgY0RgZM\nHJS+uJ1JU9HIKMsMcpiySTEOkidPEB/iQDjBLONW3zjGLBNLh5grVYwOLE1kUpRVylZVe4AJK8M4\nnvELEf7PeGSImadsy4N12BtXYFyHTSopICbbEn8nFe+La7qkfLKtrq2cs8ArAnbC3Vecx++nrkXK\nP5R1Mr8WZhEA44vchxCAAw6UaTpxJeAyGgyg31LCr3b0dWAKtHzWzBftZ7zXod81P4+Lcvtx1hOm\nr8ndb6I3kSL1iR5ccCsSBZX58vepvSV139OkRnr0dqVgLXxk7CrO5CHWbIR/3LWdS5MvM/zaDjwA\nG6dgcAbavWfxqft+m97fpUj9QQ/efivOxlve9zsfeDOvv+dj9DYKKA4jU+G11OXQWN6m7PJxk2aY\nJ0w7AK4VjVEQEhdUlD/gjFVz0AwFNOUT8fSSa6RDrSDbEWBBe5uQJoOMI817k0I/wFH3Zp3VpQ2j\npVWQCrxcmjHLkHXIF7YrS5vDlA1wa1s/HaX4NagoMyZ+X5FhxIrWvkDZtCdWBXl8AO54WnkMDw/b\n/y+++GLe/e53Az++lcfJMgZN7CpGNZiB3gXCjGRbHbKFqL/TQhrn5TUmcS5MIoZnOvQKJiU0A+0x\nAeSHgzKnzx2yzP3XL3oWr3nNza4isY4wTGonAQKE6kC1A80BuCMwovojsHNYWLA1OBAGEup249KD\nepcY9ZYr63QuDoilcelGzKMK9ueBVtN7cUEOnMuItcUEbu5oG3yb9b74Qnb/ypmM/XMNXg5SZDTo\nWC9NWbrLyqZGR0amWfiXNTABnz//RRSp8UtjD/Oldz+Pc959P6fvPCSpR4AQvvfwOfzDY79J784U\nqb/sybmp+795Lx/4yGv5b7v/gcbGAZqFLOkkITfXEfCTQG4fnD32iGsD1YBsoWuZ/lQaJjhAPmpS\nDcvCQkWwnoPMVcbtBG5ztIsglmr+6uQQo4V6n9M+OQSQdc3HqnqwCFbtrkMF0iXHwhPDqj2S9s4E\nyHU0Yu6vZgJbDfOMMWd6NkYMUeOpyS6mgklqFNlZOM9OJKRtW0RIm0wkZrZtslQp02SQUeaZYtL2\nqMwSMcnUccewE1F+8UTHCZWCjA3jpTc2TfeAo0VBSmTDqN3nC6baoWppyNK9y0MZa7zZU93XEhz5\n9QzP+uedOIfnYQSUHMGZg/k+XEbkTtP8afshv71QjMtt+tWT+uh7h7l37MYwDvStrJjUqkdNe2ZW\nbK/nozTvslm/wvT5I/zV5O/BO75qth3HTffUEGYZaeqtYM8UAVwgnxdL8Nu//CmhnV8KW1Nf5E+D\n6+l9AdgHC7Nyxhc2vk3vXSn4JAZ8KRtYADbAJS/hHV95L0xAagkyi1gD3Y5hqrStR5IW/7c46GfD\nBusdRhfrFJc0RWm8tkzVY5hIok5TivqatvjRH3EQC02uTGuzkLM2FGqDor0c5RtoEpntR1gwafGm\nvS6V2dLrVdZN20rHERaMK/6graBMSFuGLKTNIMtENt0eW/AFak3xxOZLT2Yrj2rVnfs999zD5KRU\nPv24Vh4nywiQRsT5RhfWGlZ3SXwI1yf7mWxMM8GMtInx2ge1CmJX0AzyHJws0SwMEAfQ2Dhg27fY\nG1cI31t/Dhc/9E0BIS2c59YGnO+XCuvrYGOGMloM96scymZ9TSemvf2uBFh+CrFu/vbiwJZut9o7\nDxvqdEcm9sbenwIqBgG9lob55K9czif4L3CV7mMZGJdzzeE0Z3p8ff9DsPiO02yvzMt+6yvSkeKV\n8OJtd/JO/kxsKJawWrfNSw/Q++4gD791tVQ/7gfR15r3/g54/Z0f48g5GaphWQypg0l53Ze3PEpf\n67uFUonFjTn7WayaqpvMjQmADUkta5uzs/gRhZmuSxFi2lCV6O9lrPP7fVh7isbYgKyX1k884bS5\nRWfgahpxi5N+V1oIga3QzUdN69WVZ5kgTmyVo8bRBUaoUrZs7qExsY8aM99rnmX2sY6ILC1yLDBi\nrXrOtP2Jj20cb/w6kcdPjOidTodrr72WOI5JkoQLLriAK664gnq9zo033sihQ4cYGxvjjW98I/m8\n3HyOt8y8R0puhgwSGhNKHVrRphR8LRSwEZciwqgtDUjD2N50ozDbx5DEgQlBc1D6bhuuvpV+vZWy\nP5ouA6fP6njrrnSvb9LPbMHRKUKfDVOQ41dBrlzXt7LwU6G6rV9JqeArNNs2gWkY+m0eqK1jzW0L\ncIkK7lWMryBrZU9K6Euhxp/hkT9axelfP8Tiv+XY3NjN5hu/w7ob9/PFj13BB3a9jY+fJlmADUDu\n2ZC6oQdn3YV0r30M+aUfgU8/g97qFL3NAroyJoC0cwMU5rq0Kq66VdPLBALKNFUYFwIr8gTHdAax\nmKsmCMvli+CzyPZ68wpI7HO1dQhIwFxbqrtyJqoiltcm3YDVf/XrGo62q1BmTJg2aZDr+4ABFowB\npvF3ZPWP2n/NmbEO2nM4nvFktvK477772L9/P6lUilWrVvE7v/M7wH/cyuNnMZ7M+AVw+p5DNNYO\nSMooNGLoQgsSAf25BgwWmsLYjiA/S+M/ZQuNqNIM8+QbdWphlgNMMMYc69hvdWHPuO9+YYNUHK8W\nEjr24liqGCwrr15hqgeLvW11OTht1TQCsLbirGQO4liw2FtfRfWqLSvjGLQ0UhwQg8Ssc2Tn8XrX\n2igGiT8PyMFePM7Hb72K13z+Znmvq8069Wf0a7/0PYHzFxsyx74DOl+CzFeA/wkXTP2Ai6/6J065\nqsott1zFb179v3jB5m/bfpGZD0Hq0p7MZdeZ9zqfkd63N6fpDQ7QGBlgX7DOxpQyVciJnjWqiBxi\neKZDZxhqZ+eoUeQAE2Rpc0rhAWYqFWYZt55wrZLrX6zV18WlljBaJWlXtOqIMVZ9FNt6ynZJaJtl\nJQFf1bAMY1WyrS5Z2kwmU2L4uh7X0siAxNwSMAfDlQ5sbjJSF/F/maqVVFRDsZIQ4+mYU5lhgVEe\n4kxDmrSN3518CVpQBOJ9N0DPTkLHmD3ufrY/D4DqWMdPBGCZTIZrr72WMAzpdrtcc801PO1pT+Pu\nu+9m8+bNXHbZZXzuc5/js5/9LK9+9aufUJl5ip5lJAB789FWMGHcJgjkVqQ3XxCtRDIS2RQVSCWc\nlvzaNkRLyEV48TROS7WypY8PRFQT1kF4XmGV+lX8j9dE2wd0cDRA89kyfY73XB/9fejyeMX/qpNQ\nMnMROJ8/rv0Zf89vwiVfNcvWmdeVtVOrCp/NO3qsu2eO0kUHWfryaji7Azdl2N36ZVgHqe/36H0/\nBV8AtsL5L70DUvd4+xpGppBP4YEr18Fu06vOzBR7OUkT6+xTQTZAGAuo1qpW304ijNoCwENZLl5g\n9JVOq8+Opv4SAiIDrorUTHrQBQo1W9XUofZg1ASoOuDLeSZ9TJcOBYfKeoF44fiAzu+t5pdk+/tJ\nk9gmttrWSFsRHW8fNf/Y/9nj8Vp5PP/5z/+x6/+4Vh4/i/Fkxi8AErGUaFVkYlCjSDjSJoi7Mkks\n1ElIUy2UGB8TemO2UmJ8cYlaQUyXq4ZvCCo/4oApa1PjXgJobUSMQKFfdK/sk6bi5sFNqIzfRctc\nP8pyqXZKKxRb5rmmG6dxXlEK9IYQvRj0m7fWEcDSMttBP3N2tr4+bJizjvMh0/PPZaBeAcZ5663X\nSTHQywGarrpTQ6cayYKr1vR7UJpxXum7bL5iF/tZxxA1vv7N7fIec3DxLd+ifm9A4bYuj720wlb+\nzXkVtbz9kuE7Z26m1RBQrQbLIW2aDHJkQlJ46gk4HB4iswjpoQQC8W8baSySmoPTGotEk1mmmGSE\neZqFHLlcy3wtVfazXtoUjXRoTYo5eZhEDOu9Sc9JG44XzdccCTFRjqoisfAdnCak00gOY379oPda\nRa6pWlAkm160sW1D9BDNUNKK5YboGVWfPWdSxEXqNp5ORDPkG11mKq7/rcareUY5lRnuZxMTHOB4\nRAc/D6L6Yx0/VU4jDAXpdzodEnODvPfee9mxYwcA27ZtY8eOHbz61a9+QmXmae9m5FcLaTpJjTmt\ng3k6oLjUMTovuTibYZ7yUt2kHxPyDamqU4Fl6v/pIYjBbwu0spejL6RXoKImLNpQemUqUcGS75Y/\nCH03TH//rFjus2B+KlNZK3DNv4e9ZQoiu+b9/DZ/3bua33/vx+HNd2Dp+qPSpDpGcIyfr1czzy/4\nDB4LDu+6Utqb3H0LEJPiZpyYVn8gpyFOkADb2LxjN2fvfoTOpNhGZCIJAta7bcJ758YctRYW+8Tu\nBJFljqLQVSMSQDmqMh+O2OsnITBAXZtjD1kmS6t2QtocYIIhaqT1OjNMk2gOQ5sKzxJRN2yUns+g\n0XEpI5UQkGfZzmrVu0vNOKucQt444mtg0tSltKRxzbp1ndj832WAyBP8H+84GUWsP814suKXjtSj\nEKyX6zzPsu3aERBTLZQYWVpieSjDfEW7fkTMVkqoh9icEThLta3obcaYZT/rqaQfYPDmngAc9fNS\nJkjBWA6Zb+0F4iPIbzyPi0XTcHCNY7v0ZqxpNk0pKiulTNc8/catCtYO4tJ/mNc34KocNVUY4+aB\nd5sD+mato8DBHlywkXd++81c85kb4Df0U833zz21p6W/f02XPoizsBiFB572dB7Y8HR5bR74FBLD\n3iX7GhpNvL6Y3nvY2wNSsBWeuuO7/PLUbnoFmC0UGWHB2NAkjLJgbUe0zRiRaPiGZztkS4eE4Wpg\nO6+cERwknJD1K/vEjPfQxBBtsoRE1IIiw8OL5OYgqNSplXKw0BHpXA55XIvclpaxvSKzRCTpgOGH\nOzTWDlgNLJEAuSQtXWKYNedzDrYTzNjSIplFCNYnjC/KwiiMiRiincvYAiEtFhphwei1Y8sGpmIs\nOE0j/VAHEU+8OcaZNcDt6Rz7OBnj10/1jrrdLm9/+9uZnZ3l0ksvZcOGDSwtLVEuS1PNcrnM0pJ8\nYYuLi5x11ll222MpM++Y01HLCb/sP8A4Bw/JjcreqI33k2i9MoRJZG/sQWxKgwFiaG0FtinoAgdi\ndJqmab7Hc6QfWLGeViqCmyauZNR8x/yMtxyOBmGseH15xXodHNCJvWW6X+nOemtvm/TfevNd9Ivs\nleXyWTT1CPP3sxII+uc7yOlve5BH1pwNd/tpTHUBrNFvyyH6soAY0qL5oiBVqenE2UbUSq4Be0BM\nFEh6UFkvFdT7VbHFRt1WxAJW3Nwm60SnCKApU7UBIjKv+8yYbBdaABeaGZ2yDqEJrKrDUrsJqW5M\nW4d7bbarQ6/hJnkJql5lkAKpQZrcy1Yu5FsWYK3s/ZihY5OQT6Qp98lI4f8048mKX4C1XMjsBkIo\nh3UyR8TrbqEkBSLLQxlbINImpBjVqIVFTmVGAJthZ7VpcUBClVOoUuZ7Y+eIE3uMAw2+7sq3mphH\nzEuHgPq4F+3XSBWjVjmqlis2y1TQr4kC1ZJhlpW958p4qdWEeoLtxlVgrsGxaOpAEgMMyv5HcQBq\ndYpPfvtymZBcbdbV3s2+Hk3BoX4OKiPUHpQKEPeb9fdjdWbbn/KPfO3tF9P6YMVtY8GX6XtZH8bG\nzIPDJAQ0xgbEwsY4/AGMJ7MA7A022N9nljajhTpxAMvj8l3njM6KRHbbKuH8AU3I0Ar+QZpiwzNj\nTqkCld0tSbiksY79YJ53sZ5gqo1lNxQaXbLrWywPZcgNi3b2cCVHYaHl/MRM6lP77DYmBsgnTclU\nRHAKLdqVZfFZrDhN7AKjFKlRpso4c3yLC3lK4xEOjQ1Zpqpp7HpGmGczu6hSZoIZ66N4rONkjF8/\nFQAbGBjgPe95D81mkxtuuIGpqaON1P4zdBwqWhaGwOld9EZZjGpUQ2cQ1wzy9katvl/WfqBg+lI1\n6tK0eRHeVHgvYm2s2i3VW417Z+HrorTaEZzPuy+CXzD7WINLWa50x19ZIfnjloEDR6orU2DkG8Ku\nrKTUcx3nY73reT9/yK2ppyFTUx9I1rz967JhHKvmu+p7l8UbrpJFH/wUEPNI6nYk/+AXGCyb/Qwj\nUys93wzwUXZ+4k28/HRkxhZBVHDGquC0XFrJmqQT045KdFNBLDS+usHnk6btGZpOEkuTq/RS9V0+\ngFdWNc+yBV8zTFCmSo4WTS9oALaHX5vQllbXGLIsWkKaEeb7KiL1GH6a0K90lBtpmSyRnSUuk+d8\n7umzp9Cekj6YUxDYtJ/7sY+TMYD9NOPJil925IAReHj9akaTBdJJh2ppiCplSYMHARNLh2jnBqiF\nRQJje5ImsWLlZQSs7WMdZaqkSdjCTt7HG51VhA+GFHRomnA1zjhVtVUxyG+yCQ/mjxbZq41EGZOW\n7MGalGucPe29pgDnDvpZMQ0du0HATErWX2fOqYoBQ9NQXuNsMJ4n+/nb77+Gz3AlX9x8hXPAr464\nVKcet45j66pISNICgWnDEBIDs3D9Gln+dln0xdRWc27GGodZeVPpbWI30VrAxc4iTM9y3x1buPyp\nXRYnckan7CxqZoNxe79qY1qRGSPddNIhG3Y4MpGx644wT3GpRY0hzpg6CAuweFFO/LSiqtiPREi8\njOGh0ukUSzVOixfd9WVsP1oVyLWxbYQWSiXKjSVp7t2Afy+dQUzAxMQBmz6kgbRRKpm2R+ajyixB\neqRLqtGlZ4xeU3OwuiWTExXcH6bMCPOGCRPh/lP4Ec3CgLGdSFtB/1P4dzrmnjXJFIdNev14xskY\nv46J08vn82zatImdO3dSLpepVqv2UXu+/bRl5vfddx/33Xefff7KV76SPOcTIHqSgqmCyRhgkIgi\nmxIDpOjSY4AskI0jOunMUV9Nz6w3EHZIZXpQgRfzbMauPQUHNgLzf4gEpgFkOuGzDMICbds2DJxu\nXsesG5jHAVwFo/+6v0+/4FTTdXoc/+x1fxpxEm+fCr60MbimHhu8akeLpxw8i0dv+lWeee0DwC+Z\nc9f3cypHD33/kXcMPQd5fuWOv+crvJDDI0/1zs0/9xEEcNWRz/G0Ffs6jW1rF+Dp18oPf1DiRxKK\nC34SSMwLEmgFaYJeQqYHA6ke6W5AdyBFECQMmc+oywAEMKTHCCDs9ogG+v21RD+ln3aGvBF2ZIjJ\n0yXdTZgYGKHCIoOLz+a0dkxjdZaCB45FqpYhS4suKQbIMEBXzgFpkj1o1g8ZoIdQ/kUyDNDrKwaI\nCRiga4ORXp8JAQO46kGAlFlP1xnhPDYYPzAdx2MNcTJqKI5l/GfGL3j8GMaZ18pPqgCnMEQQtGlV\nuoRkWEXGpqrjUgwMUCLDYLdFemCQLG1y5Bgw5mAJaXKMUeEwATEVns+v8CzGrkPE101EgN3FpR4x\nj1lgMxJCjgB02bZtANd/5nG0hKuRn3EXeJ65JrM4l/kqIoE9iGOhlPkqm+PkzPaXGvAFrkJRAdM0\nEJdl323Z57YtcOH3/5UX1c7ksX++gme8yhy7PuLCjk/eqyS3bZapkWseWEyZEJYByrzgT7/Cbn6J\nudqY2XACRwFlkAl4GehBPgXNNbh4LSzYNro0K/8n0tWnZGoMDjOQ6lFimDwZcrToMcAprSrtXBoy\nMak05LoQBzm6pKiQIaRFJt1m/bL5iMpQasFArkCu13AhNgBCWINYLrE6dp+nqc0KB4CBbfKkDad0\nA8LlRLTOIay2RVxQMOdGRT6rbgBBCuICRNks6W5CPBCQLiekul0ynR6Mu9fHGWGIITJ0WEOHHgNm\n0lklBNphRIkMy5xKQMwoy7TIcQrnkeYNZInIkKNgct/HGsNOxvj1EwHYkSNHSKfT5PN52u02u3bt\n4rLLLuMZz3gGd9xxBy9/+cu544472Lp1KyBl5u9///vZvn07i4uLP7bM/PE+8DZ3McNNRpfjUjS+\ngaV67NTDIvmkyVK6PzWlbEOYyPMg6ohNShqezbu57Lr7ge/RX0m4cqi3loIcqdq57rrHcKlGr38i\neOvWvNdWivBZsc1KRkuXPR1p6qOaMjVuHV6xLcAyL+iVeSmzpE7dAXyG/qpNX0/m+5b577/G45rD\nXnUlO/78PDZd2YXrvmHW18rQPea5tjvSNI0WKRzx9hXw/M/voPcbKevU3A2hlZMWHNlWhyOmWfay\nqXjMN1rUskPCfCY1gqgrbYS8Kkitis13msRhv4GpJGWduapW9KgIvzqQ53428cJ774I918LHr6Pw\nP+GR81fZmZamg44Q2C4NvhheS52VedOZsbJnfhWjL8LXa9RvN6TXuau+DKwebD0h+/iYXbaZ35Cb\n/TGOk1FD8ZPGzyp+wY+5acxfZ/+NCiVie10I+7DACNpuqpjUGAD2BSKCVLC+i832Wptl3NzMFijz\nLZ6T1Nj+QBv+0RykiksfxjgbCgVT0xjBvPQsuu4687tNn+JAmzJla8w+60A1hfyGi7At5Y5RNvtc\nh0szampRz8VmF2axFjrbkOPtN9vMmxxaGTgXLvzDf2WBvyL13z7nzGTVhyznPTdpRJcWbbrqSut/\n1pMVhzLwuiH+dOlSnre3B9fdj8SrMQR0mZZuaRMbY81egAC1Azhz60Gev/An7H/FGP/OU6hRZB37\nmRsYY9DE+SI18jQZyM3SJqQz3GT4YYnT3XyGWlCU33mScLAg8eO06iLEsJiTWDeQaTLc7dAYGbA2\nF1XKogMcXCRzwLzvCBpbBpgNxzhjGnjvdTAE4RYEfBnn+zqr7PWYZ5lGJqKYEk3YANAKoR1kKC6a\nLiJzrpn36m8uwRmw95TTGaRpC0JqcvUyxiynUKVKwmQ0xWw4xgwTHDCZhYCEWcZ4LkvM87doJeUU\nkzyNVxxzDDsZ49dPfEfVapUPfehDdLtder0eF154IU9/+rvqlfIAACAASURBVNM566yzeN/73sft\nt9/OqlWreOMb3wg8sTJz9Vjyxcb5RotaYYgsbTHLNO1jfDFyPmlaZ3NNOdZKcrNWw85sq0vl3hZ8\ndD289mscrY3y03VKTevMV324ahwNulZ+hArOfLPT5RXbrRw+GOogvD64FOHgivWO2PXX9M7ntnvO\nYseXe0jDxQqushH6wRf0W1z4ejgflJmxAf7vP3mVEdKpPuw0c16PmfVPw31+vpu+v6803HgXretN\nzzGjAUviLkk6IIgFTAVxl3zcolookc6Z7z8xnmCNLs1CPw1twZBJVTpAFNh+fCB6BRW5q1YsMuJ3\nexlFwMOQP3/Z2EG0bdm1pB9VlC+fq4It9QzznycEHKaMthwC7Gs69FzbxrxVm3CLr1hkqXwVaWsV\n5y/GsY0nM34BHNooTuOLY5KqyidNDgdl00tvkCFPXK9Vc99niwFYVStuDkiY4VSrYRxhgYnFRVIz\nULrxIEsbVsuNeA1O4wT9zbdVkA447egwcJrTiamHVowAK9v/0Uwgh4bl+YNmnS3e/mOAHrRSTk9m\n2dw95tF4bChbpuelE8Nyiqu+8RFedPAxUm/5nIS+1XiaLBzLZq0qvEf9X8FjFYRWMvHnXPij0nuN\noaofh9VsuwdDBmDaDyLjrbOMxNQIroKFV4iITSql5SSWGUQrnUMiWyFYDcoEa6coLHSZDcZdsU3g\nwDYIANMU5mwwTjw2b2UTMwb0zDNCcagmGSGTLq6G4sN1RogALtPSivXm9NNYTZp8NGVqQZFiRdoK\n6YQ0pM1gsES1NEQxFG1tRBbOkBSnal5dH9vAmK3mWUY0cOWwyhRrbRGStDIaQ9sY6X19homTMpV4\nvOMnArC1a9daF2t/DA0Ncc011zzuNsdbZh6QmDAR2AujWihZVqOdE0FjsVEXz684odiqW/2XWhgs\nD2VQV2kV46cTYAJ6pRQpGsDfc3Tza2WctCIyg2tWDU6E74MbvwIS+gGd/niLOHDiB4HHs6dYyZZp\nlaJq0AaxpqmffglfZ5LUzT2uLdyP07SpH1jM46YabCGBsl+6f+g7tx37+O/n/i94M5z3l6dzPvfw\nt3/zMrikx9DqrVxa+DI/4gC7/3kbbL8faZWk+9KI4NokDV7fo/eKFM0J8WYTj7bENNtObAupfNLs\n682YkCauOOd6tYgg6Pfa0msmIbDgCyTYxQQ8xAbu4Xw2cT8TzPAJXsP3z9/CtU+D9AT0NrtA6FtH\n6D7kqI6l0gbZ6gfmi+TVTkXX96sc/X1qM+5Bs37bQDDfjsUVBxy/B9jKY///ZTyZ8QuwTP0c40Rk\nqQZyk/TFxwGJV+WatVVlAKMsMMUkE8ywwAhFajyHfxUWt5RhMOhQXTiV1AU9ASu+EetWHFuUxmmm\nyoiOagBIrxHg5QvZfQG6gh3VP+kd4myzSJURqhWLDTi17FcKiTnK1qecdUUaMT6NEbuJ1XDGvvv4\nxOLvsCPdk8LpMo7J0vZGWlxwEIi1lVHehF8T6w7mhcFKZ5zWrQW8GT489CappvyNZzC05RD1HauE\nwdve4emnf5OHog0s3bsanm1ieC4DrR5uwmlkKq0ez/jy/Xz30k3MMGH1oZoaS0hTpiqMvdGwNsM8\nhaTOuqVpFkolmgyaCWEgXTOWgBFn4Jw3nV6WjYb5TPaiFdWD9Q5HNmb4YbCZCaPQv4XLKa1dz+bX\nIfZpBUQ7BjRKxi3AXGdi6Cs662UGOdVckwuMsLd0ppx/4TCblvaIL1oIC4WKfW8BCVOIofKZPGSZ\n+0mmrHXK/Wyy72OCGbHZIG/bc2kR0vGMkzF+nVBO+Oo8nmf5cW826tWkLFiSDqgVhmgTUguKREEo\nLYrixBN0D1Ar5YgDsT4ggcx8jKT5lNlRYOWL2kFAzCySXvPZLP0zJqO2P+RKRkz/17Sl+Ns413sf\n6MHRwEzri01ab83vweVXm+3H6L4wxVm3TMENt3rn6+9nZcpyBStlwaP+bxW75nxrMA3v/Ms3s/NT\nz5IZ0EeBOMWphRlezufY9S/P5I5fOR8u2eR9hr4PmGhdACn7jqRiNYzEAyzbEiCm/m2g33PYB3hs\nw3UvNa03u7b19HIskUIfvY5C2nyD5/B3XM2f8yd8gV/lW1zEDUtv5tbsi/nq857Nvspq8ylq94XI\nMlDOyDW2M0J/5I0nkDaT95f73R2cD5h8zr6uQVtwDbJs31uTPF1jUKzVccc7TkYn6RNx9AqYJE3N\n2pBo4VBMwEQ0w8Tioi0KkdTVsvWO064JZ7KXLey0y7OtjlQS3wNX/eNH4HIcuNHm2XpvU+ClBqkg\nP8d1OBsHXzeWRsSYmL9cSlJ72tD7XHOMdQjbtBXXM1JDqAKlNEjMMvFP91FGhPA3YX3BHvrmuTy1\n8h2XdvTntsqWKShLY85vUNbzrS9iEGNXL4bGPUlhTsMzP3Ant1z0UnnpZqz9xSYe4M7wudx40e/C\nJcaqIw1OSqIxLJJj3yDblakyxixlqoyyQEibIjViAoZnOxSWupSX6pSXxEA1swirZ5YoUjdMp6m6\nHpGUX5kqpySStss1sNeNMvZNBqmVcnwmuJIbeSM38Ba+xUX8kM3sYjNfmnweB19UEnlbC9vse6Sx\nSDESSc+yqcYGYdprFI1YPmSBUeYYY9RIUYoNuWgCEk7fd4iNM9N2cijVj4cZYcGur83nJ5gx0gtT\nrU6dNIlhdeXLHTes2bGOkzF+nVAALCZgkKal3rWyTJmENiHlqGqd0bWUW4eWdUdhlsF6hyjMmvSV\n8w5jGNoHSryyt5t+Fsj31YpX/GkLolnzdwQBRsvedj5zVcT9eJVt8v/GkZmV+vMoONLzWUmFZ+CL\nV/I/pq6Hm+9HgN9TGRi5Gy7/Av16Kw1Aa7z9KfDS1KhaTqwEZL6FhFk+isy2HoUPP+1NcO8OuBd2\nDm3hqk/dwqde+gqWGXTGkHYseMc0M8mr5LC5hmQ127kB+72oj5uOLBFhEpGPBMBkWx3yiYCcUxJn\nK6EAZpm8/bEXE+e0HJmAoY9yY3uI5/INtnIv46U5JpjhLH5Ekbq5KTatV5iCqcloyqYj5fza9qY6\n4jWhUwuV0LjsayWl7XHJsploGK2iCYHqByZO2IGr/KVGlwG0ddFcX8XusQ1llo/l7xfj2EaNIlGI\naVZcZ4xZNiX3Iz1FDbBvddlXWS32ExTtNabNjZUtHTfOSWHUprjUEi+pGaAAn/zC7/CBD7/WgRMF\nXgpiDPDos3jQUKlVj9pwG45uHaRASlN7a5D049kI+LoE0XWpsB4E9KkNBhnIjQgoNGnSjf/wA976\nzusEgA0hZs4f77H71365v4JT97fF23/dPN8GnJtyAHAUKOdN6jUvx12DAMahlG2vtIWdbOH71Les\ngv3vh73Quz3L23kXf80fyMRNDV9z4KojZ5FYPSjncrlMlMaZtZO7gMTYMcxKr84GsASZKWO9M4sk\nL/ZJj0Zdd6SxaOuvmgwSBSGrH1yCGDZOTVPZ12LVVJ3TphaFWVtqMUSNMeZ4Gt/nEr7GJdxGiSM8\nJ/oGq7+yJIxaAwoLIu/I7ZP/m+SZYMaYx0aWjb2fTVbT1STPLOPUSjmCGB4ZWyXXZho44kDhOLPM\nMc4MpzLDBHWKMklGtI0TzEha0xwra7p7aKbg8HEyYCdj/DrhVG1tQiY4YBmAfmf8yDZbBlPpFrXJ\nxy3auQzNIE+5sUS1UKImRU0UlzrMV4ZkJgLyjivwmd1X8/++vgcf/IIssBoJtVDQlf3Uog4/XbfS\nUsJPZ47hfLK0P6M/ZSviAKBu4+/H7Ovm82FLi/emfh3hmccRkf4iDuT4RounmddWuuj7YMvXgilD\n5xvJXgRXD8OQ3BgYQ4LezkGe/eqvwu8CH4XPXHUlb+R93pXkX1LqD1YAzuC7n9xkvW16aeOCb0Ym\ngrbRfan/VzPIEwROR6VD04vaALuY1OyyAGlarGwUiAasySBvXPwwv1v4G2nOPgWXTNwljcDr18CB\nQ1CCg5MlG1AV/INrfQUYsX9saXnVb6nAXl97PE+ylU72qgvRVNQs45SpWl1JZPbdZJAyh/vaHx3r\nOBlFrCfayBLRzmXY1HiAdi5DuV4nMweDY0usjuTmemhiiCJ1CnNdipM11GuumNSIg4DT5w5xZCRj\n+9vmFoVV056GAEzA67/5Mf74039B/XWrnDWBWiwps6XM0SiiBKh66/hs0xqckF0tLFomvuk2D+LA\nmerHNOWpIn1New7hgFALNv7dDyhS4z3PuVaOqYJ8NXnVY5e97dXuwvcYU9ZujXesdeb1oXHnYdZC\nQNl2WX8MEcZzNrA3hjcAd8Ev7XmYz278NX6Xm8xxajCUl/ZDrENimFSlshVu+90LaZJnzLA4ynLK\nd9+2/RgBKMDi+hysNz5eprXQ6GKdWilDzvgiZg7AJAdlMlpHuh1MSP9QFpA+j5NQLQ3xqt2f51VL\nnxed1x7448aNcE4J/qUr6z0DSUHOwPCeDhQk8xMQ06SMFvZokYd6Eyro97uR6HMawDB2chgT2PgI\nMMYcq2bq1CakMEGLTJQtU/PWeUbI02S9FSwe2zgZ49cJ9Y4G6AqoSiIIXJWYX+GofmBJWvr+RWGW\nfCwihiyR8YcSYBaFWQ5XcrYiEuTGn4qBCvR+I8XFH/gnvp7S8pqVlYO+JmyAfhCmH52CsCb9wG2Q\n/tSlD7xUB6bskArnmzj9mBYAPBUuvxWZzq7BeZbtN48jOKarYrZ/jH53e23krcfW9+cPfa8K2m6F\njw/Cxzu8kj8E3o0Ia3+VuzZuopDpwZ0d+HyGL6avgHeoBs33BYuBB6DyEqZ7I0wsLtIYEf2XDk0/\nLpTylgnwAbaAmNhqAUECXZNBYvN9zQbymfjpxyaDFgzVKLKTLZy3cw+FVtcGydTDUEi6sAmZocaQ\nn2ja/Snw03SozqsUgCnDJdX0WavV0mpM19BbmFxxv3fpTNWG+X0mNUWgmrAaRXoM2ED2CyPWE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P9g4DL4bXwp3//Xm8dAlSOVMMFKjthICtfKMlhrmhs5KQSlgB4IeDMqckVXuGxahGFGaJje5L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rKfuFCd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\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SlySlcFSXPG0KnabTJYU1ftPwMWdUvGLva+epOPvHYuJqLfWnOnSEzs8UI+5yt/c0GfwA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\nKp/Uz6G/OIqXHJOxPV2r3l6ddV5txzS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ima = camera()[-1::-1,:]\n", "F = fft2(ima)\n", "amplitude = np.abs(F)\n", "angle = np.angle(F)\n", "\n", "noise = np.random.random(ima.shape)\n", "n_amplitude = amplitude * (1+10*noise)\n", "\n", "real = n_amplitude * np.cos(angle)\n", "imag = n_amplitude * np.sin(angle)\n", "\n", "n_F = real + 1j *imag\n", "\n", "n_ima = np.real(ifft2(n_F))\n", "\n", "fig = plt.figure(figsize=[10,5])\n", "plt.subplot(1,2,1)\n", "plt.imshow(ima,interpolation='nearest',origin='lower')\n", "plt.colorbar()\n", "\n", "plt.subplot(1,2,2)\n", "plt.imshow(n_ima,interpolation='nearest',origin='lower')\n", "plt.colorbar();\n", "plt.title('amplitude * (1+10*noise)');\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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E1udRfUJtW8dLyzzsf2/32yVDZP6yfXLMbF9L1j8X/L6zgc9tykxzs2R93Woz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yuNN/uX6S/ZHrvj+86DS20xQ8a31Qe821j8gjNTEjbl8yzrbDAh3VEWbxFTXW0kJL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SWJj89xH51spJwxFmgAOUSDZunGyOLii3yeh7mZR7mJufRbDwvdLCzSLbbSRx+t1BJlPlvY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\nse9DkP/FsxRtW180pRIxbtQfY8yDqNc8GDdqqeCTpHR1D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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ima = camera()[-1::-1,:]\n", "F = fft2(ima)\n", "amplitude = np.abs(F)\n", "angle = np.angle(F)\n", "\n", "noise = np.random.random(ima.shape)\n", "n_angle = angle * (1+.5*noise)\n", "\n", "\n", "real = amplitude * np.cos(n_angle)\n", "imag = amplitude * np.sin(n_angle)\n", "\n", "n_F = real + 1j *imag\n", "\n", "n_ima = np.real(ifft2(n_F))\n", "\n", "fig = plt.figure(figsize=[10,5])\n", "plt.subplot(1,2,1)\n", "plt.imshow(ima,interpolation='nearest',origin='lower')\n", "plt.colorbar()\n", "\n", "plt.subplot(1,2,2)\n", "plt.imshow(n_ima,interpolation='nearest',origin='lower')\n", "plt.colorbar();\n", "plt.title('angle * (1+.5*noise)');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Discrete Fourier transform\n", "\n", "This is the Fourier transform for discrete signals, if $f(x)$ is a discrete function with $N$ samples $x = 0,\\dots,N-1$.\n", "\n", "The discrete Fourier transform is given by:\n", "\n", "$$ F(u) = \\frac{1}{N} \\sum_{x=0}^{N-1}f(x) \\, e^{- i \\, 2\\pi \\, ux/N}$$\n", "\n", "and the corresponding inverse transform is:\n", "\n", "$$ f(x) = \\sum_{u=0}^{N-1}F(u) \\, e^{i \\, 2\\pi \\, ux/N}$$\n", "\n", "the 2D extension is :\n", "\n", "$$ F(u,v) = \\frac{1}{MN} \\sum_{x=0}^{M-1}\\sum_{y=0}^{N-1}f(x,y) \\, e^{- i \\, 2\\pi \\, (ux/M + vy/N)}$$\n", "\n", "$$ f(x,y) = \\sum_{u=0}^{M-1}\\sum_{v=0}^{N-1}F(u,v) \\, e^{i \\, 2\\pi \\, (ux/M + vy/N)}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Fast Fourier Transform algorithm\n", "\n", "The FFT algorithm enable to drastically diminish the number of operation for the discrete Fourier transform of a function. Without going into details (see [DIP] p 120), the complexity of the original direct Fourier transform algorithm goes from $N^2$ to $N \\log_2 N$ for FFT method, which is a major improvement especially when image size $N$ is big.\n", "\n", "Because image are discrete functions, and because we are interested in doing convolution with them, if the size of the structuring element is big, one may use the FFT in place of naïve convolution techniques as described above. \n", "\n", "> The FFT algorithm changes the order of the coefficients, in order to have the 0 frequency back in the center of the image we use the `fftshift()` function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Convolution\n", "\n", "Local processing as described before is in fact a convolution, thanks to the nice properties of the Fourier domain, convolution can be computed in an other way.\n", "\n", "Convolution of two function is defined as:\n", "\n", "$$f(x)*g(x) = \\int _{-\\infty} ^{\\infty} f(u) g(x-u) du $$\n", "\n", "the corresponding operation in the frequency domain is:\n", "\n", "$$f(x)*g(x) \\Leftrightarrow F(u)G(u)$$\n", "\n", "in other word, the convolution in the signal space is equivallent to a term by term product in the frequency domain.\n", "\n", "Similarily for 2D images we have:\n", "\n", "$$f(x,y)*g(x,y) \\Leftrightarrow F(u,v)G(u,v)$$\n", "\n", "so the convolution of an image $f$ by a structuring element $g$ consist of two discrete Fourier transform, a simple term-by-term matrix product and an inverse discrete Fourier transform.\n", "\n", "The following example illustrate a low pass filter (only frequencies near the center of the image are kept)." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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JDyUECV/bv+xYc2xWzFotameDJ5NJ8z+1tcsC1A/+Qnh/IhAPCTr3GH3VMUqA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\n", 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ASzo/bN26AoBu943Wplm7jz/+OABgaGgIExMTF/y9BtTvthwIVnmm/H+zhUNa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\nemSzWSQSCZM8tbCwdBbuo48+ivHxceTzefh8PmzatAm5XA7hcBilUsk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from skimage.data import camera\n", "from skimage.filters import rank as skr\n", "from skimage.morphology import disk\n", "\n", "im = camera()[-1::-1,::]\n", "\n", "w,h = im.shape\n", "\n", "n = 32\n", "\n", "#square filter\n", "s = np.zeros(im.shape,dtype = np.complexfloating)\n", "s[w/2-n:w/2+n,h/2-n:h/2+n] = 1.0 + 0.0j\n", "\n", "#circular filter \n", "c = np.zeros(im.shape,dtype = np.complexfloating)\n", "for i in range(w):\n", " for j in range(h):\n", " if ((i-w/2)**2 + (j-h/2)**2)<(n*n):\n", " c[i,j] = 1.0 + 0.0j\n", " \n", "#smooth filter borders\n", "c = skr.mean(np.real(c*255).astype('uint8'),disk(10))\n", "c = c.astype(np.complexfloating)/(255.0+0j)\n", "\n", "F1 = fft2(im.astype(np.complexfloating))\n", "F3 = F1*ifftshift(s)\n", "F4 = F1*ifftshift(c)\n", "\n", "#high pass using the complement of c\n", "F5 = F1*ifftshift((1.0 + 0j)-c)\n", "\n", "psF1 = (F1**2).real\n", "\n", "low_pass_rec = ifft2(F3) \n", "low_pass_circ = ifft2(F4)\n", "high_pass_circ = ifft2(F5) \n", "\n", "fig = plt.figure(1)\n", "plt.imshow(np.abs(fftshift(psF1))**2,interpolation='nearest',origin='lower',vmax = 10e18)\n", "plt.title('$|F(u,v)|^2$')\n", "plt.colorbar()\n", "\n", "fig = plt.figure(2)\n", "plt.subplot(1,2,1)\n", "plt.imshow(s.real,interpolation='nearest',origin='lower')\n", "plt.title('$|G(u,v)|$')\n", "plt.subplot(1,2,2)\n", "plt.imshow(low_pass_rec.real,interpolation='nearest',origin='lower',cmap=cm.gray)\n", "plt.title('$g(x,y)*f(x,y)$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One remark the presence of oscillation in tje filtered image, this is due to the sharpness of the filter used, bellow the same low-pass filter but with smoother border." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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q4TNcKau2UCiwKB2j0QiXy4VQKASn04lQKMT0/GQyifHxcZTLZQQCAfT09LBy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\n14DlaCieHlSx2M5wO4TWfo9CLfjOzk6k02lEIhHEYjE8+uijGB4eNms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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(3)\n", "plt.subplot(1,2,1)\n", "plt.imshow(c.real,interpolation='nearest',origin='lower')\n", "plt.title('$g(x,y)$')\n", "plt.subplot(1,2,2)\n", "plt.imshow(low_pass_circ.real,interpolation='nearest',origin='lower',cmap=cm.gray)\n", "plt.title('$g(x,y)*f(x,y)$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we suppress the central part of the spectrum we obtain a high pass filter, i.e. only border are kept." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Qiw4ptDVlm1DluEAgQF1dHatWrSIYDJqJJZFIkEwmB+WdSSaTJBIJ4vE43d3d\nxONxQqEQtbW1FBUV8cILL5BMJtmyZQslJSXmaWEiEcmqQROoQK8ECunv9o5e+dPObXktJCsrLu38\n1isq7ajXT/TSqy09adsSkiZ3PQkIdH16Ahvqzl2X+F24GAZoOUCsem256klAjtPHCrGLLCCvhfRl\nMtDplYXsNHFr2BuAtAMaMBurhMCCwWBee3U/SktL6e/vp6WlhUAgkLcLV9qvd/WK5p/JZAyhiS5e\nXl5ONBolHA6TSCRIJBKUlZXh8/nyHrOod9XqPtnOaT1WdiSP/b3+L20XctVSj7bAC0ku9l4MIXJp\nn0xceuz1tQLMtdTynh1JpX04h4KDPiuXy/G9732PaDTKd7/7XXp7e7n99ttpbW2ltraWZcuWEYlE\nAFixYgWrVq2iqKiIpUuXMmPGjCE1zoWLw43huq91VIyt5wt5aT1dP2RbiM7Oya+tVq0B66gTrRXr\nuHepW1YI2o8gx4uublvN0h/R9x1nIISzo6PDELSEP8J+iUXK1TtW7efiOs5ADHwwGCQYDJJMJtmz\nZw/HHXecscp1ojvt29Byje0Al8/0HgU7DFPr6TJ+8l6veHTd0jddn1wLPSFpn4D0w15taYevHdap\nQ1OlvbYEdyg4aIv/ySefZPTo0eb9ww8/zPTp0/nZz37GtGnTWLFiBQB79uxhzZo13HbbbXzve9/j\nzjvvHHLjXLg43Biu+9omZPlM/mvr1bY4tUxkSzdiQduOR12HloaEfIQ4hKTt87ScINaptlS1POHz\n+SgtLaWjo4OSkpJBDk+RmPSkI07aUChESUkJwWAwj3w9Hg+hUIhAIMDWrVuJx+N5BKxj2XV5Upe0\nX1YZOmxW6/Lawpfx0qsD7eOQFVUh/4KdJkPXIdDX1r4f9D4KGXPIT74nE7Osegr5cA4WB0X87e3t\nvPHGG5x33nnms7Vr13L22WcDMG/ePF577TXz+Zw5cygqKqK2tpaRI0eybdu2ITXOhYvDieG8r+2n\nPundn1rW0YQsx2nysV/Lj1+Thw4tlDL1xKKjdnQ5OmeOJlSbXOyVSigUorKyks7OTvMQdH2snkz0\nZCMkLe1OJpPE43F6e3tJpVJm1VNXV0dlZSXl5eVmMpD+iTNU91sgE4S90pH32gErE4k9OctxeoUj\nrwU6f4/UKefqMmyJSr7Tq0DdZn3N7FBgLVMNBQdF/HfffTef//zn86wN8bgDVFRUEIvFgIHNGdXV\n1ea4aDTOTC54AAAgAElEQVRKR0fHkBvowsXhwnDe11rO0NZlofhvLVtoR6Gtx+uYczvSBPLlC615\na3lFOzaFuLS0BIMjWaQ+IaZwOEw0GqW8vDyPlOXcTCZjUjJI22WSSafTdHV10draSlNTE4lEgvb2\ndmKxGPF4HMdxmDZtGslkku7ubtLptJGBpOx4PJ7nJ9ATmyZLj8eT5/yG/KymsiqxHdF68pJx1ZAV\nhZ7U9TjpMvQ1k8/sVZxegcm10g+DlzE+rFLP66+/Tnl5OePGjfvASgo5OFy4OFox3Pe1rdlqwtdJ\nv7RFqttlW6862kRPEnr5b+vp2qGpVwra6tfH6hh0m6SEXP1+PxUVFfz4xz+mu7s7L/IonU7T29tL\nb28vdXV1JJNJQ2Iej4fe3l527NjBjh07KC4uZvLkycydO5eysjJaW1sJh8M4jkN7ezvxeJyWlhbz\npDCpVzZ22ROXPVHaspW9yoJ8X4SeNPRrHRUl5eqy9UQjk5tN9AItMWkfge2HsaOXbN/EUPChzt13\n3nmHtWvX8sYbb5BOp0kkEvz85z+noqKCrq4u87+8vBwYsITa2trM+e3t7USj0UHlbt68mc2bN5v3\nixcvZt711w+pEx8F4+bNY96w1/rJqvdo6uuDDz4IwKZNm2hqavrY72sofG/Pnz9/kJ4M+eGa8l7r\nvFprLuT0g3wC0TLFhAkTuOCCC/LqsyUe7aDUzlB7whNLVc6RCBWJw6+qqqKyspJwOMy4ceM455xz\nSKVSJJNJamtraWtr4+STTyaVShEOh8lms3R3dxMIBBg5cmSefn/aaaexd+9eAoEA3d3dpp/HH3+8\naYvjOJSXl+P3+0kkEowbNy4vxl/6YGvuGvax9ljqvh8ogmf8+PHMnz+/4H0g5erz7bHV11DLOPpc\nPbnI9+PGjcurV+5rgGnTpjFt2rQDtgkOgvg/97nP8bnPfQ6At956i8cee4z//b//N/feey+rV6/m\n0ksvZfXq1cyaNQuAWbNmcccdd7Bw4UI6Ojpobm5m0qRJg8ot1LjVN974Yc352DHPrfdvss5C9c67\n4QYWL14MYP7Dx3tfQ+F7+/nnnzevteWmc92UlJSYmHdNGAK9Yce24gsRk+M4rFy50pRxICu4EKEV\nKkus4Ww2S19fH9lslqqqKkaMGMGrr75KXV0dpaWlpt62tjY8Hg+f+cxnWL16Nc3NzZSUlFBdXU13\ndzcAp59+Olu2bDEx/Xv27GHq1Kn4fD7WrVvH2LFjzeqjrKzMkGBHRwfpdJoZM2bQ2dlJcXExb731\nFvF4nJ6eHrM60s8y1qsBGPxcAxkj/Z2UIWOvpSGv18t5553Hs88+m0fSOvWCnljtdM96Apd7wL6O\neuWlr8X555/PypUr8Xg8zJ8/P+9+PhgMeefupZdeym233caqVauoqalh2bJlANTX1zN79myWLVuG\nz+fj6quvdmUgF381ONz3tSYa/eMG6OrqMlEomqy0nq8dtFoesLN56vfaeWjv6tW7QDUhFXJyyufp\ndJpsNksoFKK0tJRNmzYZp6tt1SYSCfbu3cvGjRv5yle+QjQa5Q9/+AM9PT3Mnj2bXbt20dLSwu7d\nu2lpaSGdThOJREgmk3zqU5/itddeY/r06cRiMXbu3Jn3FKtYLMaKFSuor6/nmGOO4ZVXXiEcDjNz\n5kx27tyZtyrRjlDbQW5LQ4Xea4LWk4K+B+R4TeCFHLO2Za8d/fq+0CsVqVd8NFLOUDX+QyL+qVOn\nMnXqVABKSkpYvnx5weMWLVrEokWLhtQgFy6GG8N1X2tCtX+wjrM/VbPowjr6QzuCJb9OoSc46Z2c\nQuyaaCTRl+MM7J4VB6u2ZoWw5Fx9vp1nZ8yYMbz22msmuZqOdZeUy+l0mtbWVvbs2UNfXx9tbW30\n9/cTj8fp7++nqqqK0aNH8/LLL3PJJZcAsG7dOp5//nlCoRAvvvgivb299PX1md2sIs/5fD7GjRtn\n8vxv376dU089NW9zmIytHddv+y0KyS6aeG2JTVZfct1kZaCteh1tpR3xOrxUj61MKHIP2BOQ3a7D\npvG7cOHio8O2puVHLT9enaRLyyra2aslG4n40BOCHSECmKde2RannhBkw5Ro5Np5aadH7u/vJxgM\nUlpaSk1NDe+88w7BYJBwOIzH4zFkK8cFg0F6enq45JJLaGpqMpE5ZWVlJBIJQ+SBQIBTTz2VRCJB\nLpdjxowZPP7448yePZtwOEx3dzder5dp06YZsty5cycNDQ1MmTKFtrY2Zs6cSV1dHTt27GDEiBFs\n3LiRiRMn0tHRkSfP6AnOjlYScrdDXu2JUZO4TuamJ197hWXnWrId5xK+ao+7/Qxe7ey123+wcInf\nhYthgB01I59BvvWpf/j6O+3otZ/Xq6ULG1pjluMkRh6grKyMkSNHmpDLvr4++vr6DNFIXH48HgcG\nyD8Wi/Huu+/S19dHKBSivr6eUChELpczxC7tLSsrY/PmzSxYsICNGzfS19fHvHnzyGazxGIxent7\nTUROIBDg9ddfZ8SIEYwbN47Fixfz/PPPEw6HmTp1KuvWraO6upqnn36aiy66iJdeeol58+bx3nvv\nUV9fz5tvvsnJJ5+M3+9n4sSJ7N69m2g0SiwWM+OTTqeN/KLHUZO67TfR10O/t1cA8n0h5zAMft6B\nlozsKCoZa6m30PMFdNmHCpf4XbgYBthRN3YSNCEbLd/Y0SiFHIJyXKGdqUJoekIRfd5xHEKhEGPH\njmXDhg1s3bqVioqKvB20towkq4xcbiCvfXl5OeFw2KwqkskkRUVFlJaWUlVVxd69e80GryeeeIIx\nY8YY+UeknlAoZPwFnZ2ddHV1MXnyZMLhMHV1dQSDQSoqKmhtbaWyspKuri62bt3KwoUL6e/v5y9/\n+Qtnn322iTTy+/08//zzOI7Dzp07gYGVwdSpUwelvNB9k4nKdprLd3p/Q6Ex0U/8kknzQM55PaFI\n+Ku+VrZvwJ689SpiqNk5XeJ34WIYID9inRRMW/pCNLbOr+P9dTSQ7Vi0n90rxwrp63MlGVplZSVv\nvvkmO3fuZNKkSZSWluYRmZCPlGNH+eg2plIp85CTWCzGvn37iEaj7Nmzh6KiImpqagw5ZjIZUqmU\n2chVUlJCLpejtLSUk046id///vfU1NQwefJkAoEA7e3tnHHGGTz22GO0t7dTV1fH9OnTeeqpp+jo\n6KC4uJhwOMyIESPw+XxUVFSwYcMGU+bUqVPz5DKRVISICzly9djL2AYCgUEbwOR7PTnoSUOutZ5o\nNLHr3bn6eNsfoa+fXhnoDJ6HApf4XbgYBng8nrx88vZyXZN/IWeelKEtxUIrAjlOb1ASySCZTBry\njUajNDQ08PrrrzN58mTKy8sNKQq56M1HUr6OEtLEmEwm2bVrF1deeSXd3d00NjYyevRoJkyYQC6X\no7Ozk97eXmAgHbQQbyqVori42LStpqaGL37xiyadc1NTE+effz6vvvoqc+bMoampiVAoRHd3N5FI\nhNLSUnbu3MmJJ57I9OnT6erqYsaMGfT29hIIBAgEAsRiMaOTV1RUkMlkSCaTZDKZQQ9Xl+uhrXtp\nqzwqUo+1HhMtD+kJU6x5uQ7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10Dn69eQkdetJQn82FHwo8fv9fq6//nqCwSC5XI7ly5dz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(4)\n", "plt.subplot(1,2,1)\n", "plt.imshow(1.0-c.real,interpolation='nearest',origin='lower')\n", "plt.title('$g(x,y)')\n", "plt.subplot(1,2,2)\n", "plt.imshow(high_pass_circ.real,interpolation='nearest',origin='lower',cmap=cm.gray)\n", "plt.title('$g(x,y)*f(x,y)$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Correlation\n", "\n", "Similarily, correlation can benefit from the Fourier domain properties.\n", "\n", "Correlation is defined as:\n", "\n", "$$ f(x)\\circ g(x) = \\int _{-\\infty} ^{\\infty} f^*(u) g(x+u) du$$\n", "\n", "where $f^*$ is the complex conjugate of $f$ (i.e. $f$ for real image).\n", "\n", "the corresponding operation in the frequency domain is:\n", "\n", "$$f(x)\\circ g(x) \\Leftrightarrow F^*(u)G(u)$$" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from skimage.data import camera\n", "\n", "\n", "im = camera().astype(np.complexfloating)\n", "target_center = (314,375)\n", "w = 16\n", "crop = im[target_center[1]-w:target_center[1]+w,target_center[0]-w:target_center[0]+w]\n", "m,n = im.shape\n", "\n", "g = np.zeros((m,n),dtype = np.complexfloating)\n", "g[n/2-w:n/2+w,m/2-w:m/2+w] = crop - np.mean(im) + .0j\n", "\n", "#normalize\n", "f = im-np.mean(im)\n", "\n", "\n", "plt.figure(2)\n", "plt.imshow(g.real,interpolation='nearest',cmap=cm.gray)\n", "plt.colorbar()\n", "plt.title('$g(x,y)$');\n", "\n", "F = fft2(f)\n", "G = fft2(np.conjugate(g))\n", "\n", "R = F*G\n", "r = fftshift(np.real(ifft2(R)))\n", "\n", "corr = 255*((r-np.min(r))/(np.max(r)-np.min(r)))\n", "#corr = 255*(255*((r-np.min(r))/(np.max(r)-np.min(r)))>250)\n" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bk_compare_image(np.real(im[-1::-1,:]),np.real(corr[-1::-1,:]))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Adapted filter\n", "\n" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VV19Bq9VCrVYjPDwctWrVgkwmQ3Z2Nq5duwZPT0/iDEnTNI4ePYrFixdj06ZNcHNz4ygv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3q+3Nxd3HkT6x3RiHGviyNEy/l5fNkok2SrSpUq2Lt3L65cuYLDhw+jRo0ado/ZuXMnduzYAblc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\nbkXbtm3NCD6fx5MQgr1795qRJb1ej9KlSwvO48MPP0Tv3r2xZs0arFu3TlK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/b/GcWbNm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\nVbblVAkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from skimage.io import imread\n", "im = imread('http://homepages.ulb.ac.be/~odebeir/data/moire1.png').astype(np.float)\n", "f = fft2(im)\n", "\n", "power = fftshift(np.abs(f)**2)\n", "pmax = np.max(power)\n", "\n", "plt.figure(figsize=[10,5])\n", "plt.subplot(1,2,1)\n", "plt.imshow(im,cmap = cm.gray)\n", "plt.title('$f(x,y)$');\n", "plt.subplot(1,2,2)\n", "plt.imshow(power,vmin=0,vmax=pmax/5000.);\n", "plt.title('$|F(u,v)|^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Question:\n", "* How to eliminate the repetitive raster pattern ?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }