{ "metadata": { "name": "", "signature": "sha256:9e9273fb4866d700ead9981be9f0939840ff246e6ffb89d2d5f44b8acde5120e" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Domain coloring" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "from pylab import *\n", "from numpy import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Inspired by\n", "http://www.mai.liu.se/~halun/complex/domain_coloring-unicode.html\n", "\n", "http://docs.gimp.org/2.8/en/gimp-concepts-layer-modes.html" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def Zrange(limits, nsampl=400):\n", " rmin, rmax, imin, imax = limits\n", " rsampl = max(nsampl, (rmax-rmin)/float(imax-imin)*nsampl)\n", " isampl = max(nsampl, (imax-imin)/float(rmax-rmin)*nsampl)\n", " r = linspace(rmin, rmax, rsampl)\n", " i = linspace(imin, imax, rsampl)\n", " R, I = meshgrid(r, i)\n", " return R + 1j*I" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "X = Zrange([-1, 1, -1, 1])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# http://nbviewer.ipython.org/github/empet/Math/blob/master/DomainColoring.ipynb\n", "figure(figsize=(6,6))\n", "\n", "def Z2RGB(X):\n", " \n", " # magnitude\n", " V = log(abs(X))\n", " V = (V - floor(V))\n", " RGB=dstack((V, V, V))\n", " \n", " # phase\n", " R = ((angle(-X)/(2*pi)+.5)*2).clip(0,1)\n", " G = ((angle(-X)/(2*pi))*2).clip(0,1)\n", " B = zeros_like(R, float)\n", " RGB3 = dstack((R, G, B))\n", " \n", " # hard light blending\n", " I = RGB3 < 0.5\n", " RGB4 = 1-(1-2*(RGB3-0.5))*(1-RGB)\n", " RGB4[I] = 2*RGB3[I]*RGB[I]\n", " return RGB4\n", "\n", "def Cplot(func, zlimits, nsampl = 400):\n", " X = Zrange(zlimits, nsampl)\n", " imshow(Z2RGB(func(X)), origin=\"lower\", extent = zlimits)\n", "\n", "limits = [-2, 2, -2, 2]\n", "Cplot(lambda X: X, limits)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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tt+Pcc899JH/OOefgtttuM4F/j8ZTBNpanoF/VpfmM16J5nkeD2MgxoK+ZwCW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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "http://docs.gimp.org/2.8/en/gimp-concepts-layer-modes.html" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(10, 5))\n", "func = lambda X: sin(X)\n", "Cplot(func, [-8, 8, -4, 4])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Rj+lZZOa0jB0AJxbTGDuMwGnBYwyQY8GXwWmEMxydA0cTTeDZGMissjEDDVSe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Zn3SM8KqsoXHv4bgHeSYwcYawCHiE9S8FntrKBnJjMinWFFfzu2Wp71Ac4auFiR8AjdL3LoOYYY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\nxGLNoXi+dpz2L9HW+aX6S6BaYM86L9L2i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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(10, 5))\n", "func = lambda X: -(1+X)/(1-X)\n", "Cplot(func, [-4, 4, -2, 2])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ru0aXsWXstX61vi3+q8zTJ9868w6RPyl7A7LGkiEAJFMG+4wBjX33ZZUwVhIv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GAAAg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\nIEkaFzRZ49SIo7OQ1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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(10, 5))\n", "func = lambda X: (X+2)**2 * (X-1-2j) * (X+1j)\n", "Cplot(func, [-5, 4, -2, 1.7])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KmNmYe4Cl3lmZ92UsWKA48+NBjKX5e1fZOzXcc/5H1Nym4qsitkYibm36OCjM\n86bGwRN/R0qRn/MhY6zWBQMm4yEDqh5cdejniD8w6teislT58iv0HOdbPTyuylql9k80jkzrE2Qp\nUtKoRQpYtXZVlKZcVu5DmN09mYkgAlaLAK1Ia6p2MgDGgOs4APsDuD8Zb6ZIK3F+JJ1amryi6X2Z\nzQCehF5a2t//sPVqTHEvMZJucncjVivAKou3HIOvDGD5q4LRkA9Zgt4qZM+p+N54f2AgtUi9vjzP\nGS9NuDLsZ3VAhLkuVb/Kb5WPlIVKs+cqCsWXzda45X8m4EnFq3lMPE7R/I4o7K1DSpwD81Yt2ycf\nRfwLtSHrQoErOL4s7H0OR3Fes9n6z/qhwq190uq7idYoj9evB2UWj4A6AzAO+2chyvk4r3cfVm20\naH2BrEgaLULVEeAdVgFXFWcrRwGroZpriOaI6lAAS50pRWdRH0QPsNTuZ1LaobJD1ZjxuLVMLlFf\nHwbg8Zj9b0U+5lVHhh0wGk9Z5zeYTLgqcBVh2AhstUBXdpTIYCviYdmlxv1e9NnxknHuB6hPHG/x\nxL7qq6cojcNRGVVWlY/IyimwlL2tA/PrGiI9W+sWv454sLB6L+VyEamx5/b93HsQpdLU+7HnVbW/\nKcn35bwf8aj4jcKZ5cfXb7Qi8qI1HtXhy42C56qygOv3+5bHnb+plfl+DjvMAzAOWxnPR7QHKi8e\nwPw4RrS+QFaFKrtSQfzMGgXMzwz7yq2I8AqAA9EfSXlTgZLuChBweBGn6lLavRW3tJcF4+op2rmZ\nRIx4VuNT6QvnWfwJ6G972uV2ni9/XMiAy3bnOFZEqsvZdDDbEbDyvgdTGQjLLs0rsMU8ArNWoqxf\nQ/IWrYeFc3U5LePg2qjypuJcD9ep/CycpTGIsrQO8+uW39CjOjndWyIsz/f1BgB3UzuLiOuIrC/c\ndkuseF4YtEQAS/FUBYSev4hXBlRWv+dvKEVrMFu3/Lyy9ningEi0/j0ognuG11BUzoMjjkeAyucb\nnxxX/eT+877J9lCL1ifIiqQVRNwo2gGtnVGxSlXLmftTzH7dvSIJqlI82y0snZUFSLnWBaGfxuw9\nrCFgq8V/NA4KmXQNX4Wfjem3r1rzxseGLm802VVR13nouRtDhjwCWRWANeS+VrT0uA+RUh0SrsQr\nZatAy5dvlV1ky4HKqXgrPSrHaSrO5PMriqIFvDI+1PjuwvRL2lXQVC2n2m+JEQ9YFJjx8awtFVZA\nRMWrfEaeD+igAAAgAElEQVRxxWN1zPguU9QXWyM+7l0LdHGaxdn6pNaMB13jIM7gy5exO1sR4Mri\nUf99ms9T41Sl9QmyKqRGtpXeAlLq+Ypi9gp6C2ILTBRf1oF8lvyRplcWLDZ/XIr5VciU8VDRXAog\nDQGHKr4K4HT04NB/bsLPWWVuvZSY9CN6i2l1LxrmCGBlIEuBLgW0WhYtBiHcDwR+K21I/qLxap4S\n8JWylTxQmopHa0X5qvwQge7LK+CUvYF7hcLP+7otzW+NnVRHJnqr1FpTPj1zXoF73jqKZ/SJgD/F\nh8UZMGW8MTD0vLL1rbr2zHnANaY490P1sbonM2Cl1ozF4Xjy8c6FGXTZ+ALTMWlZsCztWADXin4y\nsLJ034an6lpeXyCrIk2ynqkdnsV55wkLRhNccfjpiHeTssiocpF0V5SVUxqGzRmRxh8DOBXA01C7\n7L6I5IvAqLJiDXU/jJr1qgKwJmtiNAJGXU1ZVLrtXct6tVukZ8eL2dGhWbHMVwpfKf0WMIjiWf1R\nWkugt9Kjsq28rL4WP9E4VMaDy3NYxSOKwJLys3pVuq1h2yIdgC83+KgS85Q935pLBiYcb/GYzVGL\nhq43L2aYWC2Z9cbyOsyCJhX3zoMXxTM/MySOJI3XTBY38R9ZsRiwR3lWB5f3fLWAVSWtResLZAHD\nVnNrF7dmJkqPAJW6t8PxN6F9FyvbhXBxDHgWojwo3YeVBchr5G3oL7vfh5xU24rvlmVviKUquz92\nBIDnY2q9AvSr9CKgq5uCLFB1Q4YgwrTqcjuDKuWU5Ss6+eUhjJYcpw0NZ0tTxSsCe5F4ll4tW3lW\n8Z6NZyWPw1Xyz6g38EXqMfKWkA79EaHdw4reXSvtsPJSCjEbd7YEjVwZZR0awp/nQ+13H85EMcuC\nEaUpxyDDHFuAPC/+eQW4ol9ItsjmJVv3wvA/t2Z83PdPWazY7gHMimTOA2bVcufKet6z/vm4UeuF\nJKP1B7IqpHaGAk/mL6pYWcnarEcX3r8PGkQs64B4dVQkcvScAi6mid9DY8bPRtIlkzQsPZRlbyzy\nWyDM/KcCOAk5wFrSRXiNiRVAqxuRFcucWbJ2B/kKbCnAxZjU88rhKG1IvBUe4lcBjXqmmja0DESc\nw1ma96M0zqsQKwUGWxXw5RWe4mMNwK0DeGJipcZpHG7NhVfwkVUoyvPtqzQbi+gZxWsEFC3uAUbG\nEzC9g7QJs9Ysz8OKK6vELYOfjNT4jshv7QW2VsHxkYEpH7Z+KVDl8zxvwLyc7hCvZQXwVTqCvBZ9\nc4IsT0rbZUDLx4eAqyjP+4+FPvJSDsW497lMpMGGUId5Lfxq9IDFW7EiJBFpCOUYWFkaW/5aVixl\nkjkDvRXLjjYZCXlqgfQW0Ory6nl4oiGIumXgaHfiK8Cljhn5nhYPH/O7CEXPcXq0XFvgowVYsvDe\njlfzMn4zPwtnaZ4yQKXAVQtwefHnxeE/UR3er1Km1JhvnxfNB1uyGMhU17gHBZsAfAntvkVgo7Vu\nGAB5vn1dDDY4rxpXgI75yt6reW6ifvu4AlVwYZXfUdxfdPfATb34ArMAzIMtc2q9cf94bXLfK7So\n5fBBOuuss3DEEUfghBNOCMucf/75OOaYY3DiiSfiM5/5TFguJZ71KB6ZGVR6BqxaoEp9AsAsWZnD\ngDxVtkVDZp+fM+376ElaVWJG/VFAU1mqOK7uikXhNQD/AcC3OJ7V2lBaIFor6lkPshAvo9aQcFe5\nK5E1a7dz9k9AFrfw/ZOw9+938fsm7v7APUDtVF1mWYssahFWrrpOhKNlt4xhOZtLFMKc1vJbiqsq\nAir8L+JszHc1eBgKtozPyF+UTxXPrMkseswf2o9F+c3Wu5Wr7JVor/HfA2VrSq25If2phtU88Vzx\ne3h1DKKx5H5CpHNetDdbtDTIOvPMM3HllVeG+Zdffjmuu+46XHvttXj3u9+Nc889d1gD2W6NLFdZ\n/iJAi0EVp3loPURyw4XVzGWz3krzVAEPRv8SwCsb9fl2KxJR7ZxM2rXMPN59F9rzr+LRulLjEgCt\nFcwPn6JIkEZdMuDiLVreivUAuQhgeaB1XxC+n+riuAJeFVDVcgpD85QPBVsR6MoUQLQ1W3mtMCg8\nxFeigeNDxEyrb4uA0tsdT4sAqoha4zK0H0MUcSZuWjxX5sLKtsY7Ah1qX0Q8t/pX6Y/qXyu/6jJV\noOLV+YzGaI3qy/oOzPevFc5o6ePCZzzjGbj++uvD/MsuuwwvfelLAQCnnHIK7rjjDtx888044ogj\nhjemQEFktdgbLvhmkgRgv4FhEi/ageoZpursemoBjBH6z09cjNlXHUWKb5+udlFrl2QWqyj/VZge\nEbYsmYtSYPla6foutXB+NDQR2OL7VB7UZFakDPzwJx3Mef6jPlTCKt5Kj5bwEOE2xFdbKlIc0ZZd\n5NllfATxKG1vEK8Ji3t3716s39KMRq5MNA7KH2P+GC36xZ6fo5FLW6F8c/xzf66n+pLl+bSw4nOF\n8rwYVceAzDuHPZ+eXzXXoHy456I4grBPMxXKR4Oc5+NcnlUwMHuEqFwnwp4/NXdcLgpX6SG/k3XT\nTTdh+/btD8aPPPJI3HjjjTWQlSlKBbYijdGwSjRnVIEuf0x4EICHIwdZLSmcSVKVH810tuOjMbO0\nVQCPRG++4Es7aue0+suowsezV0iFPnx8D4DXoP+Ke/WvfhYhXjOUZnezIouW36y+635IfNf4qNBb\nr7x7QKRnQEuBN+Mj6Frot0CZikdpRhXAxfFFgZYKt/KXBVZDQFUljEY6K8kqKQWs5q11VFit30iB\nOlZqPs0DlShupIDWiPKZR3ZfavQlep77wwCLL6JbuuJ7hBhwRUBxJfFbpNbC0HXL4MnSquCK01hd\nAW2VrdwJAK5P+ptRtZynr8vF966b3e6jkWbzgl/Dgyvo1JN7N30oqDwCUfxMZfSB+OcOtkK9VrX0\nfTD9COmiQIvDiiLJlGk1JSmjtJsxvVXtwU0FALbAVdVWz4hDXVZ656Rt/n5XxmcWrhKtq5VOb3JP\naklULFnKQpXdmeJjxda3tOzIoPUOAhGO0sQQzaUPoSEgS6UNBTwVEFZRNEOA1RCgpeKKIuCVPauU\nKudFoKtVX6V+xadS7P4Zcx58eDDi0/xz6rMGXSOv9ZLgefb8cp5aZ55HBmFj9yxcmOMMsHwaxyPr\nXgSqRo18JGEV9wAzOihSaR3l+/5XVTuPXbQu1RoEpjIUmK0no4ccZG3btg07d+58MH7jjTdi27Zt\nsuwFr8b8gaonJf0jPxttTlNQ31uruqTsCMC70Y98C2CpHebTOH0IZePCfVZj8Fzk1iQ/H6ovCkQp\nVJEdmKszM3bfDWBf5N/visY6CmcSokF+WailplhS1iwGWnzpnQFWBLhaR4d+uD3/VUFVBWBI0nj8\nmKIpiIR3BHSqfjVvkfxF/Cys4hWKgIICPKx0fPyevdRu1j4Qgy1fbuzy2EJi5EU2Ay5gvm0GVkPH\nmkFZa114viPQxXwrkMX9YsDF4C3jX8muDFRleXBtmtq0tFHAjwJYay7s8zNLF4MqXs+qz37NcR7Q\n/9J01dXT+owk8HUAWaeddhouvPBCnHHGGfjUpz6FQw45JD8qzHaBSm9Jf07L7IutPAZgY/Sjnilt\npii/spsr0LkFOFXaCMD7MbViKcuSujnYApMMuDJrlrrB6T93vgfAWegv5mdfoK+OfUVjqrpoDM2a\npcAVxyOA5bu9DT2GPADAs0SXou75dn5+Utcn0H+NW1m02DSfgasVV78P723AVaEMcCwKuobmDU1r\ntdNK47CKDyUFpjhP5SsryCJtZQCqAm58vjp4YAuQiW7up7rL5OP3ohc3nNfqj+pfy/c8cx8szv3w\nICrija1Aai2NxLNGI1Fm6Nr0gDjKY1XLKlmVjQBWRQ1WKVurFVoaZL3oRS/CJz7xCdxyyy3Yvn07\n3vCGN2D37t0AgHPOOQfPf/7zcfnll+Poo4/G/vvvj9/+7d9uV5ppq4okbzllk1Vgin1v3TL3L9AG\nG5HSXlRSKs2l8qMxY/cG5IBHgaPsaDQCUxFwyyxYPu17oF8dIo0WjT2nteaIn3W7zZaMOd7IESv7\nAzgewNEJO7spzfuKrM0LXJzdbwC4CcBbHO8MpiLQxQCrCriieMR/RFHfq2BlEf+hyMv8KK0SbxGD\nKZUPzK5dm7cOtbtYSslzXlbG85ERW0DYksXKmX0FsLz4snj2S7ysP5V5jcAh867KWBsMuFYwy9OK\nSG/dyWrNm1onnjJrmQJUURlVvgqwPL9RuYx8n7K1WqGlQdYll1zSLHPhhRcuVjn3SEnpDDzwbGYz\npsDWmHwOb8J0NiNFzhSVBXT5Vn8rfW+V+TH0Gj071stAFwOsDGyp87Hs53V70Jt1fgta4kVjHqGb\nRZyq21EEsODCB6G3Uh1A1fEpc8Q6hM/haHt4d9bEfz364fwKgE8CeCnmQRb3ScVVG98IsBUBkIcS\nbC3yfBRv8VyNtygCOBVAtEgbUZpX1EP7YKTEdbT2WmCLfctTQE0R98erBS7j0zJwyNYstad9m8y/\nutnClqxofiNgZdSaN9/XDNQNBVHLqDlQWPW3QkPX6/r64ntF4rZGlp/JRj1bhQywPLjyz/w7TH8P\nnynnDHQtS0NXm3eXIb8jlYEudRyYgavIgqWcv1j0e+ht9vwqPRRQMSiMLHI+zbej2sbscvL+4wSb\nLQOglVUstACX54d9dtb1A9Ffc7sB06F/HGYBFYPICHxFbUX8ML9RPKMqCHkowRbnVcpmfjWcpVVJ\nAS0PGBRYyOpo5fm6VZsQ8Qp569MKxX17HpBwnMGR7RPVFwYh3D/VL7+3bd9YOvPt+xSBR7WfmCcf\nX0E8V6o/aj1EoAuUHu03dSSbxXmc9gbAytaq74tK93nVNbq+QJanCCipckOBBWsIv+p5RWb+YahL\nymWopTVVOaUF+VzL/AwUVV1k4WqV55veBrBM4/+YGI9Ig7UAlgpHyEcBx0Tb2FBuBnBIwOZQVjJA\n5rueES8TL8DV6fAYwN9iOk2fRv8ewUtILa+qkEPic3gIRQDLh7O0RUDSEAAV1d/iLws/+cnARy4D\nHvUoDKLf/E3got8APvMZYDxBEhloaJF6rgJIlGL3vKh2IsVsYtzAyRr0ERzzxWLf5/0N2utRKWFW\n2Ep0MOgaCqo47sfC94n7mIGMCGhxvqIxlbXyDBxHIj5yZbl/bM2L3BAQViG/FivpEa0/kMUjFuVX\nAVS00vwhvA97DdcCWy/A7O6JpC9rRy4TjYOKq/RoJbXG5jD0l4IegAZKHYU7kZ+Bk4rFKjou3APg\n/0H/RfddwVhFCCTiNQJ/lX5FqGcy5psA7NtN2YrYi4x+2fBGzaqlZ8SghZeJGV/VCbCPfzuAP52k\nvQz9hxkZcHnBGAEu5gMUVjwzqbRoCw0BK5Fv4Va5zB/6TCvtYQ8Drv8icMABWIrOPrt3nm66CXjj\nG4HfeFcf9/M0RptYZLcUdKawM2opZr8mzfdi3wMSzvPgoAKuKmvS88DpfJTGeymLR/1S+40BSIs8\nkFBz1Jo7D7gqcdW+kiFRni+j+pr1Xc2jWstGI5GWUesO3DeeImntfU5TgCKLR2Va7lsnbSptCuhZ\nyMCV6l+1jxmYivr4x5hqcP71YMs6FQEVTs+AlvoWlncvCMauCq4iwFWxtKmy7FbQX7bal+YpaDq7\n568+vaA+Qur//kb9R2H01zn3CbcL83+3E/234QMALgRwBYCPoP97y+h7XPy5CPv4qe87L4nKFGTX\nAbP0VjjaumOKR37mWs9kdfm0nzgf6MbALV9dHmBFtG0bcNFFfTvdGLjzTuA9760BLCMWbRnAVf3k\nvGxLR3PZWk+RBVf93kf1L+rH0D5l61aJ12q/InHr85elbC0PcS1xO1RsR7+tiuZVqeJsDfs+Vmn9\nWbKMMoDRYRjQYNDRiXhHYV4JypL1CMzex1I0ZDYiiiC56lt0nsPmh+/A/MpUEq2S3tJa0c5nRGH+\nowD8D/SanaklZdVOjKRTVbtz/Y8AsB+m6GMNvSmLpFdFqHiLUkWg+HrgfFbYRmrpZEIqGj5+xr4b\n/Cfovw3r77/wWzWHPS/Re5Pa+qp/GQ1R+K20iq+U7yJ1+fB11wKPexy+IXTggcDZZ/UOHbBnDTju\neOC66/LnjHd+4x+JMPtVYhUwbsR5HSoeWDXcVmg/SlP9NDWSkeKbjz4r/QK0LUHxzX0wqszJ0L2p\nVHclX6VzGpK4ymvNIcfVOq7Q+gJZatSjVVQBHRWw1Yk4u00ubLvEpxmpZ4FhM9LSNtUxyMDWCvqL\nQxFAYSClNHym/StAS5k+zH0cvUnFQFY0L6p+1Z5CNtml/shkcgCAozA175CVcDQCum5+6jN2jBUG\nWhn+46H27SjiZdICcdV4B+AUACcD+I/o7295hWVKJduGEGH2WfBXSI1FBXR9Pf2o/U2bgD27RQcU\n41WqDpyiCZJfXQGuvWZa3z33AA97OHB/8N26lsIaqqz8c5nyrTj/nHopsPXb4sWTWqt+XlXc3wGr\n3DUb0q9sbKJ+RPMV9XkIRQBPgSWVviyoivqv+FOAitdcldYXyDJSPchAxxBQBcTgysdNQ5hv6Zsm\ndfyMqC8jlR/NuNI0Wb9a+erC+89j9hwnM2dk4KnqbAxa97FeQuPFY1wBVspFv5iMbOqMcp6B6Vma\nGldza3iQInaZHXWE1gJbDLSUwgbmtwuCIVNTHQ2vCp+D/oL8VwH8Avqp9EZfa9+WoMUjQciCDZSu\n+sd9Z4pAVjR2exNIlf1Isy+j3fj5oYBrDVIm7b8fcN+9s+mHHgbccUfcbKS8WvNWYXlvAC5WCUOo\nUp7LeOBUtcYNccCsioDzF+kTg6BlqAKYW0CL66jkZbxUebZwhdYnyDKKRmzIbmIbsNpJbMVawRRM\neZ9BA0R4kZXHu4LTIk2kwJZS/Jz+08gBlUIHSutmYCrLN/SgrFhvQf+ZZTTq83xE5qEsXVnUFNj6\n1okzyxVbCHmMHcjyrEe4j+8tRXjPn+gqsKWWpie/ddRUR8AtA2BqaRwE4FcBXA3gA5gqC2UtyJY2\nXHkV9uNboQhgcXxvg6yq/yM/AnzgvzaY3FukBrJV3ibOPzui9BFw+63Ten/udcBb3qKbXaRrrOAi\nZcr5GdhYEfn2rImhCi9Avi6tXg+csnqXAVUtoNKads97pU8VYhCTxYcAqwwaAPNjwn1q8aqW/dDt\ns75AllotKq8KOjoKs6/yPNAaU7oBrcMAHIypQlXAq7X6ohmKxkBJCgWwOF2BrSeirU0z0BVp9EzT\nK80yxuydrPcHz0VgyyON1i1WddM8Al1jAN+C/hzMboO31uJkjEcjYNTp5eAxYQvnMejiLnH3KyBL\n8RIBrSi9CsCehH6Z/Sn6i/K2pVpKwgs470cKeghOqMZ5qVo4K5P5Wd7JTwGuvrrBXCs9o2yAqtrC\nW9f8RPk45wN48y/3DqP+Ev1jjup9nr8K+IoUn1IBUVyBjUhBjxCDLKV4gbhfGWUAKANc3MeW4/It\nfnw865Paj2pv8dy14pynwNPQMKe1SK0znvsKrS+QpSgbqSErLgJacP6Y0je5fA+01LMcVnHfJ9XH\nSGANcZm1xSx0R2D6qfFIU2dmkgj4KMrGx9IMZH0fpv9Ay/UqM050psYAS/3cLfO/G8AjMf0Ln9Ya\n47tZA44MW7/Ma51kMriJhtnYj6ZyiGtZwcwBwFMBPAXA7wL4OzFc2TbOhByCeETR0quGI9/CQ8CW\nxd/5TuC8VxYZXJQqQKo1iDaZPBmV+MQ/+EDgjtum8euuA77ru4Ebbmizr+ZbsVxRykNUh6o7ahcu\nv0LMH6e18hbtU9SvjEcLQ8SzZ4bWr+ZuSBjQY4AgLeMpW19VmWO0vkBWS+IiyOO4V35q5fJlEQ+g\n4NKiy/DnYWpOAOIVV+1vlN5yraPBTZj+LMXi7wz6lFmwEPgKXEVaJaNVALcGdQAaTSiXoRNz/J0E\nj2o6AOej/7bBLuhdCop73509qA2anVwazlRgy6xa3rrlfZ42P3TMrpqeDHSpNN8eAh447XQAjwfw\nIcdPpACUAG0BLUBvJTUWUXoGriw8BIBF4/voRwM33VhkpMW0p5b2yMpEmuMe8Wzms6xWk9gBRz8O\n+NIXp8/ecitw7LHA7bfPsyMeD5VrS+Fm6kKViyhbl2qKWoo5AicZv0q1Vfpb6RNEGEmeCmd9zOY3\nS8/mV6VFS7XFH6dFeRVaXyArI7Vq2GcQZWFgHlRxmCUjA7AIVMCVQ5Lv+6HSMq3j+2XWtuxo0Mc9\n0NoX/SfJvcaPNGhL23LfVXrUV/ZfBmArestRRbNHVitlveLPRHCega5DAZwN/QfUUZ8CCTgiSRN1\nwbOyOwhHV8a4+9VlCsprgYbWdERT5H0LfyuA1wD4QwB/PT9soQLJFFqVWtu2Eua0KJ75L/5R4P3v\np4yIwaoUj8qrAWKtWanTW7LYz1APxxP/4YcBt90yjT/wAPDCFwIf/aN5dlSTiwAuH2Z3dzAUUdue\nsjxfj4qrda/yKmAqKqOOQTMwYfm+b1m4RRnA4vyKPMjWAftR37J05s2ouoXWH8iqrCAjD45GFGcr\nVgVs+bg/KvR0oktraTOmbCeo9JZrHQ16oDVGf4/sYMz+K3HlUk+WXumr7xunPRXAW9FfLPdAKLJe\nRUCrctcqQjMnA3ge5qWP0pyqn2KNjrp5QcoAS+HBBwJWo/ta2SX4IZQBjEVBV2Th+lcAnon+sw/Z\n8rZ2IiGq+pAJvsoSroCrob6F//IvgB07ggozJhelTCOowVJptrhYo6o4Aj9CJom/ZTPwh1fO8vP6\n1wNv/OUY5FRFTkW98BRFQ9UCXC3KAAOHOT6kPz7PX7HL+LLn1Dgv2k+VVgVdVQBV9YfwqtKrY7C+\nQBbPXrRqolE3kDF2YU8dpUXahPN8vtqF0TOespkdUb4CUmOK82X36JMC3v0qZgFW1an+qb5Gfcx2\n/dOgj/AiE0103tYCVGy9emDinwvgMZj++fQi/fb9nMzFaKyFSga0jCX/tfcMbLEly4MtZpWXV4ta\nwKIKtrL7W+cCuA7Ax1xd/p2Ht4UScmqMVR+zaYtwTgVcWTiKd+j/V/AfrgP22y+ooBIfQhUNEaUx\n+Qt20T5eRvu1UJLL+6VfBH7pl6asffgy4PTTp/GKcq2ALiAe/kz5836LVET2fAa0Mn6HhP3dTa5/\nSB+zfkYU9dnyPJ+tZRX5SpVGcearxWc0ZhmtL5AF5Ct9FDjOq9zF6qict4L5tpkHdbQ4ZJUpfiuO\nwdbIxdlitSlIV1qvAq5UH6OVm4VVv1+LqRXLEASjCkYl2cWmCFAZgvHu1yc83Et9riCIxrjYrwwZ\n09sUqPtYHlx5HMinnWywq1izWsIIIq66lw2RxT3Qy0BWhx7fngngtzBVACwCmNeWgMsEfyW9FR7i\nv/jFwPvf1yhYYZDzswFQE2/pVc0ATPfiIqhFaaNWXkWTubTveyHQrU3jt98OXPw+4Kd+Kma30o0R\n+v0VNBuCEFA4oxbYaA2d4lv1SaVXAGTGYwS4ImrVa2kI4i0eePwj1QQKV3hV/A7t//oCWdEqikZe\n7Q6LZ/eyxpjVfsyDb4u1ybOQ3zBWdUW+CrdcxWLF4GqM/mOaEViI+hIBLsW76nPWhxGA96H9iz8f\nzqxY0c/0GKUY4HoVgP0xvdjLrgpG1biN4uFhqxOzmmFC3xXufud8Zi3aJtmy9PEK0DKf24+MkRx/\nMfpfIPqP/PPWV+M5FDdwH6K0DFypNOV/5CPAC763UYFipqqlFSWgpBRX7bQ0nsobWr7qJzwfegjw\nk6/unafbbwdOeGL/B9gtkcxKmYdCqaIMYC0CRlrgYQjIUmnux88hD0N8I45Xl1pliXI/Ip+fbcm4\nbPlXAFeF1hfIAvTMRSvHFLay7nhwFR0fRqSARSYUozTjM/IrgMT3KTo2jACW1+b2bAVoVaWC4j3r\nD98dexqmVqzWrwL5jCyyXimTECOX96K/aK8AVvQ9AjYV+bAfPzcuK93MDw7nqlWnm/xH0Ay2olNV\ndY0tmqKVIF0JJx/Plj0PxSJA6wcm4UtF+xG1BH2Lqtu8AqrMP/hg4Madkz9yjgpm4RaTRpHG4jxO\nU/EIwPgLPEO0egtU+baGaKyhNAIOPbSfD0+vex3w938P/H8fbitiTxkAyMCWqkMBKa4T0EPZ8rM8\ndSerAiiyZdhh2DRWwZsagxboyvIq/LWWaGs8mNYXyBq6epRVigFXhxxcda6sT/PtGh2N+sgqivqT\ngRLTQHw06MMRuPJpZyC/j+X7XelHFVhFgPAvMQxctYCWQit87rYbwB+h/+mQB1gKTLWcQgpi/Bi8\nMMiKANb9zo+ODytHhnBDztMRgaxIILESAMUjvJ45hVt/EMDvQ5NScsvq5wrQqgKu7/xO4H//iUuo\nVJAxkxGXzYCVpQ0ZrA794vIACdD7XgGqRfJbmjfjnzWfik/oTW/SVbzpzf29r7XkV8aqymjaIvyq\nAAMP0d4AE8pvLbEqn2r5RXktsBKBqGwMorwo3Fr6lblS+S2q2na+PqQUNscrLroYHuUroMLhTQAe\nS/xmqzWb8aF9a/EY5XvHQl5pwqxvjBZUXyPe2X8KpgJ8GXClLrlHAOsBAC+k/nrN7n31jYQoHl2G\nmvTfDxtjOr6T5a1X92P6V4m70F8b2+XC7O4RjsvswvQD9j58v3NsRfP41OI8zOoqXMtlPwRdQ/9d\n2uxdYG86rhMinKWZ/8u/PAFYqjLFeDWtxTzEcz6Ny7TCnlrrfpGXky4IZy8yrct92Tjy+CT0up8D\ndt0NdHuAbm3ixsBHPwr8zM/Mlx86fYsOwVDHFm72Pf+LhLP+Rn1s9dv3VYUXHQvlKlTpd4XWlyUL\niN+YOO6PznyeirPFi0epCkk9RSMc8av6oi7o89EgHxF25LMFi1fzJgA/TOmgcKtfEUisAEIGWCvo\nf3m/LcMAACAASURBVLv/AHIwFUkOdTcrOx40xPJWAN+B3orVuecjABUBO8WHMh91s8Plh7cj1vnK\nmAEf8xXoyaxZ1j1g/j1BvVvwO0i0lTxxnzisBDDH/TKF4P35AD6K/A5J9Oar+PQUbd+KclF5N98M\nHP4IzHc0e6jFjMrjDkX5PCiLyDhgXsayrxZKVwgjCS9L0aJQY6PIXaY3/9nP6t3b3H8xYjT9M+xD\nD5utukp+ajjMLPLwt/KjPAYZFR5a4aGk2szaqPDQGhcOt/iq8Fyh9QWylECIQAvH1XFfFjeQwqsu\na+Mx7tmMMo3UAoMMorxvGohBlgEs/nXh6iR9H/d8hX/Ps+IzAlUR0PLuENTAVPT2HL3O2C+h2Hr1\nAPq/yPkeAHcFz6ujx5appQW20PubMDvdHfrvwe6PWcOon5IRgK8CuBg90LoX2rLEP8D097KsvlVo\noGV8VcFWVVBFuEKBK0vPjBTPAvA5AP4D6YpY4LOiyCgTFxWg1Y1dwiIgq8poVI4Rr4q3NFhEEcji\nZzO5xuBqqCaraDel8StgS9UV6QOBXg45aFLVGj0zoW9/ArB7d3/5/pZbps0yG6oLewNMqLRdyKnC\nX8ZrVm+0VFvhKg9ZOoerfCGIV7fs+gJZQFtAmGXHx00y+3wGLp4MqDDAgosPgarMt4+3QEoGXjyg\n8sDQh+2jqaaZNgn/WEzvY4F8pQAW7UN2DGvHlj8AbTlaxDFg8h+bMkTybQA+jB5gZXVFYGrIWRfz\nNhmzfbr+Y/uHYnYq1yjup+Eg9P/ww8P7UfSfO2OgpUDWCvoNzifHrdPmbIohfE8RKMnAlnK+H8cA\n2A/AtdRWpFeZjypFuCcFWmPkHa1UFsVbpDrbAhNVgGNxL2szcMVAKgNdXJ7jXNcQ8s9HYDIbD9tI\nwCzvvg8qL0j7u78R+RP68leAf//TffiDlwwDXxDxKF3lMSkAtwgYVHFupwq0uK4WeKoAqyFLf0g8\no6XvZF155ZV4/OMfj2OOOQZvfetb5/I//vGP4+CDD8aOHTuwY8cOvPGNb4wryzZlpNRVPNIaQ+80\n8d2mFmWrP9qgEe+qf6pv0R2s7D4WEO8CFm5DeFbHg3y/7YeRW7JYy6rjOKWJfZo/JvzjoD4PrtSn\nH9RdL/VZCAW09gfwKPRf11+dCoDI8GaY0F92N3cfuWcC+Aj6+/s/ix5D3o0eQ95NYX8Xy5yvi+9h\ncVx9QiL6PQF/PDX6kGrrtw7RkD4SwEnQYI3j7CKKyinQy2mbNk1+sdZquIoqq+WjDkTMZ/s9yvPx\n7Lg+e/lRezd7QcrKZ/udxyEak2gM1JhEX/yNrNmRJb7xIvmoI4AP/Nfe2d2vbgyMnfvAB4BfeUdc\nfcQeT5fPa3VfpQ1ZosoyXVkWrSXSekeuTEFlDKKxiJZVi5ayZK2treG8887Dxz72MWzbtg0nn3wy\nTjvtNBx33HEz5Z75zGfisssua1cYvSWYUre3KrZm+TQfxySN72JxmHmIXIUikFKp39/RYguWWuX+\nr3/YgmXuFeL5If2oAl0FThn8/TLqu6a6gyO3G/0feavd7ncbHw+qW90t9GB1njAZC7t1buMyISU0\n1ihdTbfC2JvQ/z3NsyfhP0P/qzyrbxP6Y8lVTK1Z7Curlj9G9Oxb3PMDF1fEui3S/dWp3gf9Vz8+\nhSlwjd501Rt5RhnOYP5POQX41J9hfqKisKqkxRyn8ys+53HHOxFmv0J2P0lNvnp5bL0od6Jc14hH\n/WFSi0Kl8xhwfb7PWb9R9NVCVe2Kfr3ojD7t1T8h+juh//N/ev97XwDceec0XameCkVLL8obolZU\nO7y01VKPprQa9/Vm/HCZTJ5Ux3MpkHX11Vfj6KOPxlFHHQUAOOOMM/DhD394DmR1XXEaok2gBIMC\nYB6cKHBlZezOEqiOEaX7vOfVujD3HAsVBaoicKWAFkQ6W9lY2Ed5zK+KK0Dltb0PK6uajyuUEb2t\nZqijpcA69N8AeCamn2pgcJVZsIaYbdYAnIYeVJn5SI1ZF7PBb1t+GHhKrDo/xKsAngzgJgCvR3+c\nuBlTkOXB1uqEbQW0Nk3yKve0IHxF0TRVQJYCWuNJX/+CxsXqirBIJDwr/Prwm98M/OxrBaNRx7LK\nhminbM9GKDPSGi3Q4cv6F9ehoCqSfSo9oyGg0CjrW1bfIn1mn+dBzQvzWOGNaVLu6U/v/Ttuj4t2\nXX83DAAu+wjwQz9UbAO1pTeknmhJqvYWAVz8bBSPeFTlMrDVoqVA1k033YTt27c/GD/yyCNx1VVX\nzZQZjUb45Cc/iRNPPBHbtm3D29/+dhx//PFxpa0ZMOI7SyOXpvJ9/R6AQeRHoCsCKBlFACsSTBEA\n86SOLj0wM0BzGPqPbvrLP1VegZjHDGBFYGtf9N8ZewAaPDGo8v1SPud7foH+xvQuTL85wOajCFip\nbxbwPS/Lfzmm53MJIhqNgHE37Rrju+hqF3fZD7+BIwNLBqReP3H/AsA1mIIqD7g2Tdpp3dXiqfbt\n++H2wx4J32gaWyArAlqPBfBFzE9/tBxaSz9bVhb+i08DJ9kfPFdAlvKz8BDKNE0EoixvCCnA4cMt\nOQbHQwSqsvwK6KiCmAqguTXgJUtDktYl8UVAoG8rWuzqkRGwZUsf/tffD3R7gmdE2pN2TMOf/ex8\n00MpwvOKhRbg4vI+rQK8Iv6isgOG/EFaCmSNRu1mTjrpJOzcuRNbt27FFVdcgdNPPx1f+MIXZNkL\n3jYJdMCp39G7GeA0x4ALM6hS4UndM74PM6jKBIPiJRJAWX0eTEGE2Y8E+yYqC0x/XTiUItDn/RGm\n2rpyN+xC9MCETTURsFIKK+PV0w2YveRkQMuDK0M0kdVKXZCytMeg/5DT3dAmJ0+TcRlN1pXCebsx\nD7gizOmBj7dkeQAFAH848Z8P4O8nda4Kn6fJwJdNLxsvIz0K5FskWso+PARoHYD+Pto1iHFEJhCj\nKQvBITPAjEfxuYqKjEQUda4FsJQSj7SdT/PXMjLQoYBSBpoqsjUCG0qDRgsgA12K+KhwWbBVmY+s\nr0zc9wUA18wnKlR5iv/VXwZ8BHT//cB5503j7/3N+TKLAJkIXA0BU1VgFPGxyPvRUiBr27Zt2Llz\n+n8FO3fuxJFHHjlT5sADD3ww/LznPQ+veMUrcNttt+Gwww6bq++Cn8VUogLtty8GYBnAUlLe6h6T\nP6L4Qeg1WAb2qkDAayw+4rSw8ZcBQyNl1bI2nuyeq/CXgSsGWv5zEWsuTZlIVqGP/xhFtPg0Xpln\nHz9lUkdkjTI0w/er+FPr6gb6/QDehP5I0P9aMQKLJHh9t8eIr3/xEaICWQaCGGSxULoUwGcB/FtM\nl7Cv35618AqmU2hbh6cezlf6RVGEN4YALR7mFQCPB/B5zOqoSIdllGGfj340YIYZV53iypYFWUxV\ngJUp+kzBR3eylGsBLV+Pl3fZc4uOhY9HmlzlK1BZAVuc3gVlWaepMakQa32FRlRd9iYXgawB4EvW\nPwL22QK8593TpAfDhb69+z2z8XPOaT/TqnboMlIUAbnK9l0KZD3lKU/Btddei+uvvx6PfvSj8Tu/\n8zu45JJLZsrcfPPNOPzwwzEajXD11Vej6zoJsGaIF4wHPUz+ftKY0saU7+tjYDWmfN+mP1pUvEYb\nR22kDMz4PqvjzCFgBOjPVFo/peBNFfGmzo+8ScW0tgdfhgCOdTwvAq5aAs4DwYvRg6Ds6I+//slO\n/azvO9D/MvJOzN8liy7sO169TPRWLD6NVP9LKKp7cOj9XSv+JpfR49BfFv9xAH/jWPXY10+bNwrz\n/ayRy1fLG5hv3/rN4QxkWZoHmRFGPwrA9ZjHDRk/XCZK/+o/Aw9/mGCwBbQyv8VARBGIaOX5OAOA\nLGyD3JJdlfzoGV9/lZYFI9Hzd2N6KdHzqH71URmDaGy57aw/ao6VzonAFtdrG57LKt443FpfCNJA\necncvfxls/kv/3dx2Yg+85nZ+ElP1uWWper2XQpkra6u4sILL8RznvMcrK2t4eyzz8Zxxx2Hd73r\nXQCAc845Bx/60Idw0UUXYXV1FVu3bsWll14aV9hafF66e1Dl8xd90/Qbwy9Cf8dJ8ZsJuRbI8pYq\njnuqCudsE7fKR/yNKc7Aiq1aSoP/GKbf6VIAK+OzBfh82o8j/p5AlBZZrfz/z/wigO0A7kB8eV7d\nXid0NOqmQ+BPKr0BTX3/ylfnh4EtWdEFdaO3o/89wLswOxUKcBnOZ4eknQxoRSDL/AhssVNAawXA\n4QD+GTPDLdvOyJc78khg5w1Bg8yo6kTmD2VMUSR7MuXXUtJK+T2UIMsWspJ/0Uun3wQW99RS7Bmg\nsQ3n2xiJeGUMeDw4T81HAj4kDZlHuHxvyco27yKAqwXyWsR1q/wG7dgxG+8YJyBoo8jr5i3T8J49\n7fKjrvzTv4eWRqMRutuhJSuCdBZ66kJ1Jp05HKVtBXDiwPqieGYFaTmlzKOPo3zrhOeoPD+bfbAo\n+gM69YkD/hXeAwB+jsqpMgrsMOjxH3ziP+67G8DlmH4iXeWb+9rE3encXZO0u1z5e9F/CfNN6AHW\nHa68lbU/m7bPNtjHqMQ/PD/QzX+zyhe/D7OWLY/fvJxQIIs/+xaBrRF6q89PYPYe1yrV57F0hGut\nPgW0Wji/ArAsrbKtbTnfRH2tEPP20pcAF1/sKgcxwcxGca48CleIO5MpReUPAQEWfwDAXzXKqoXA\nIAoubM9HF/wqz0bxjI9Kv28HcIvgIaqHLV5D22uFh/jVsP0YaG/Xna3PSjxKy9Kr+Yr4hGfBNkab\n0Px6wvr64ns08Fkf/H0rtmS1BCEwf2zYUXiE/jV5KF8+PxJO/k7WULL6fBtrLhxZxaK6lIDz/Cnn\nP8tgvl22t/hzoJXPEF48T3zr2+LvwCyQY4C4Rvne2R8GMph7EoC3oRe+GdjMPkzq+uuXl1myDIf5\nD4XyFTKrytfDx4X8ratMNxwO4BIAZ0z42Yz57WJ1dJgd9jFml4bSHxBhzA6FxCKt96nWOxLQX5/8\nGtWdyU9eju97H/CSH0WO7CpgK+po1HCLTBZVycuvjtIsDBHnNrNvRvk2ov265sJ+0fACUjLQW9H8\neEX9iPrgKRtDe5vJ+ufBnW0OIB4DVQfzG4WZWOeouW3VY8InA1YZiIraac1HK65Izb1Ph8iv7BF+\na82ei3iotoVvBpDVKl+VyHaUZWl+Yfi4AluPhh5kzwNvJu6PT/PaChgOtrhe3jR2ET3jueL4bpsH\nVkrjseZbhZ6jVr8ycKWAnp11Rb8gbFnsDGh5K9lPokcht2LeeqescPztLAG0rHtjV5VZsLwR7D6q\nkvGa7z5/bJStT3yXyvPxswDs/24VZlAgi7G3ks2VbaxAFrfP2CXCPX757Yd+bO8VbbXo1399ArB8\nxdw4MxnFlR8xMwQIRMQKWNXHypHbUmn+6sRQ50GIQuVe3rVkIMvLRWRli74iePQLXQGmDGRGwKoC\ntrgPEbjycQZARj7tXvdMBrBafpQXgT7mo0VqPSvAEwGurB3/2XcuF41/hb+A1hfIAmqT4BV3lm8C\nwt+pMt+fvXuh6uOtgVSLO1rsFuZbwyxoVugZriOKW9gA1xMwj9YV/wrYsMnCtK2/rKPAlnLHUxzQ\nY8p8tECVv4y0L/rL9fdh9iiULVrqiNWX343p8eK56I8O+NeI6oiTHYOt8WwXrTlvxdqF6YmjP230\n1iwvP/x3svjL7uqj+8D86cZ2AD8C4IOTOE+d+hOBsavH8xOBrEgG+nAFu0ROWbS2YhZkVegf/wF4\n7FGY7pmWJStiGJSmOgqRx2mLKiOl6KLnojZ9OPukQeQ8OlcWK5WnwBgDqVa/uO/cFxX35PvKwCq7\nkOj7FcVZdrd4iaiiayp9tLpaACsDW4oPleefa/UrykNQV1R/1q7HBi2QpfYXEPMqaH2BLLVgojIq\njYWet+YoQcfPRICryns17jehFyr8JXqeXJ/nTfGWZ3VlvyhUGlEJi+hvejxgHYt8VjT7oAccqk9R\n+/7ij/p7HgZav4EpwOIPTan7b0o7mzsAwD8B+CrmP1Lqf3no74qpb2nxTwQn7B6I/i8NPf0dgKsw\nvd5loMuaVCDLAyz/dXf+6xyPTZVuOAnAUeivnVndnvy0e7xtS87rwghoKYq2ZQVkRTjIT+0h6K/Q\nVahTa4Ibq4CtqCOgsIrPMYXhCtioCjb4GUX+hdCDDyAGHB094/e2v56RvWAqHjOwyu0qQBaNhZE/\n2owAkwGuCDwxWPS8q/o4P6JI73mq1KkskxBhlcZjGQG9CPxFPDEpwKbyPK9VMGdlFciqtKXabtD6\nA1mtfNXpKM3n+U3stQREebZotXhAUC6Kq02pBA+3w4JMpfs6M37Us/4tk33jx6erb3R53h9OcS9o\nQL4X4B5sKYBlbjP6i+kKVEUauOX+Ef3F9qG/QPQ32M2SdRj6o+Y70Wv8rwGj8fynGR43caNJtz4L\n4A8AfM6x4K8R2LBscW7zxM+AFh8f2vBvRf+3i38rpstjar8lIn3BOgf0LFMLn/ip43g0vRY+AD1w\nzajjtbLsXSwFrDKwlTKHYYrY095QEPuiX1T3YV6pesABxMAjiitLloorecgLsgJAgNnxU2Ppr1l4\neZT1w8opC1EExBiARaQARAYkK3Vmd+xaYZ+mNv2Q9RlRBLCieRsaB2aFaaSXs/0T6fyAvnlAlhr8\njsJK4HlgwHkKkHH6Pg0+eeAz/j2Q8kJdHc95EGjhEdVjefacCYnIkhVt/gxg+YXUAlXeB4DvFHW0\neGJg5cOrwtkHUNXnE3yYeVP0PMzey+JjwPugf91ozkDW9074uh09uHJrpIM+rfTL6GgA/37SvT8B\n8AuYt2RtRr809534BrT473P4b3Mi48P3YQrwoqXslwQDrEgeRxRhkWwLW14VZHXo72jtEu0/+cnA\np//cFc4ufMH5GeDicNTRIbQMsFL5zItS2L5dbyG3PHVHCZjfxxmIgksH2oDKyowoTyk/zquM3+cx\n3WRKHnrQ1WF+DKK7Z/y8krEMwjJqAY9Wv6PjXyRxH1bzbe2qckPnQdGywIvJ72tfTwVwtfaYoPUN\nslSHsgHvgriS3ByP3AED+M4ml+8icLp/nrXumPxMmI3Rfwa7wjNvqshyBczPg48r7cqbr9U+W678\nV+T5mHAVPapYA3AWemCjjgW5D1n7IwC/gv6zDPydBf/zPw+w7JMQdsb3owAORX9Z/jbMIqhJG8ae\nN5T540AbCuvqUwH8TwAfAvAfJqxvQg8e9kOP/fbBFGiZNcsfH9rR4gjxLw8B4NkA1D9odJi9jqf0\nw1CQZfW2/JZTR4eMm2w5Gb3mZ4C3vgU5KK84iDCngcIqrihSGnsLdLXAlZG9vPlJ9jLCA48MiMDl\nW71edrHlSuUbKZnEfR2i4E1u2vwrMMR9sucikKKODVmOD7FoKXnbmjumndSmkoGVvkXrkdOi8a+s\n4arur4yFal/9whKNtCyc0PoEWUMngSc0EoCLAK6hfHiKnvcmARPubDniBTqmuAJYK1RO8ao2Dgsz\nL2BafVfACui1/sHQVjUFsBTQiv6ax8DL06AVY9Yen52Zey30d7mU9cr+FNpA1o8A2AHgZvSX5fni\nO60Pu+rlP9fgv4PoQdaWyVC+EMC/mQzpftB/uWhlvTWL/5/QW7OUDnwu+v899O8BjnWpe7JlEG0f\nhUFa2zYDWlHcb48OwBVXAM/9HswiMSTxDFhl8aiTVWrJHpWv0li5WFoks3w9poz8ObVStNkiYPnC\n+QyqbBxZ/kSyXvG8iGL3YLICtIwU6GK5zHJ1Ecrmugq2TB5F4KoCslp52TxEcxLpK6BdV0VHM3nr\nLDD7PKcpnMHhBq0vkAXoAVMDrRYWAy1fLhKMWR5viqhdFQdqQMWXy3iytvnNz29gWzy8kSNelRAY\nYfZzF1xHRP4nsVYH970KrkzgGdLwGnMN0z/h28/1OQJaUXv+KPIw9P+kfBdmkY+/h3UfeouVgSv7\neOnvTuJfgf6vRLr8bt3wp492V5712SqmR4LG1pfRf2f2Tsx/scKcHR3uxuzHRn23I2vWUZM2+XuF\nxvuKS7flwnqGn1P6QcWXAVmAPvmz5bF5C3D3XcDmTUnBrPKo8YzxVocjUvs1UiZDlIxSdmqPemLw\n4Sc8WwSspGzRKZml4ryPrR0PxjzPLPNbip3JPkKq5L1f9Kre6CjU1+etV8sCLquf+WgRH/1GvFZA\nF7fNgGko8LE2IpDWAlr8PPPnya8z37bS77yOFxj39QWyFHpslVdAoCIAq2G1ESKw1Rp0Lwwy58ux\n0OGwElYRH7xJeOOot0qua4T5tyFlGokEiAJa1p4HWgyu1J9Mn4QeSWTAakT1qqPHX0Tt8wz3owdU\ndpH9LwHciP54UP3fIQOtCZt7JsXtaxH3Ynpf3gxf3pJlR4O7JmlXoz8l/QymOpA//WVAaw+GW7N+\nEMDvYdaizuSHt8P8Uvp6g6woPgZw7LHA5z8/qXBP8cHMMWOKae5oRZ75sssCqiq16vPWj+hoUAEq\nBbiA2T3v4zb+/qoCx9VYW3wZmWz95LZGlMZAhPvB8gyYP2nwaVUdZ+1n+UZZn/nol0EVb2Te1NFG\nV8+3eKlSFWi1yJe7G/N96IK4X1MK0BVofYKsSLlHg8z+KEiP/AyUKasQD3RlwrNJycBXBrhYOJmS\nODDgMVo4LBj8OLAQUZvL+PLC+OmOHyTPegCkFN4Y858kh4jzeEYAy1+a34z+8+cPR4921Nfg1UdI\n7wLwXzD7SQd1Gd6OG8lMZSDrHvTGMPsHH8Nk1gX7xeDWiTPgtIr+fwh/BL0BzYbJZOg+mIKt7MjQ\nAy0/bEAP6r4GvZy9Ho3kMaCf5Xo4vLeB1llnA+99j2toBbPAfBGgxUxFHYg62aJMxsDFF1ViShZE\nbdmi8i9dCmz5RQHyPRjxsmac5Klx5CNFNSYqXhkve7vxZT3A8n3zeaqfLOf45RVB3CiS1RHxHEbE\nlqzOhVsOSTowbD48r7wnorUZlfFU3RfK6qh8YH6sIr4TWp8gi9NaoEYN7hCQFfnZwGbtZhPMgAoU\njwQ6X6D0ZWxz83e2FK/ALH9KsAHzfWXnN6y3opnj9rkudf+CwRaEb+HnUjlVv/rsg784vwXAL6FH\nO/zxUH/3iz9wegn6/4W8EVNwZf936P/P8G5MzwPtOwyTKnZNsu3vEO2k0vS/gax9MbVk2QV3+xXh\nf56w7/903mMFYzn7pIPXmX74no3+sr3H2LwMM1ns/YgikJWFMzeHl9ResHXxgHrANbbInSzuiOqo\nigPzCsnSMhk3hCp1KcX+FAAfd3kMqFg+KvDB/bOwlzkMtDifeeMx57wqQDHyc88vm9wntmD5NAZb\nyrKlXmZBaUMUeaV/9qFlD/qyN6UKoKoAro7yo/XbAly+bs4buiei+4HKV3qzKuAmtP5BVqu8AlY+\nnKVV/OzcvDrR0YZRADLSKgpYAlNl0DrnV4uehRmb5305v5lMcKy5/BXM/iKQ+6g2pbWbfRrC8642\nMyjP180WLEMn+6AXOqdg/l+YveM2bC5OBvDPmJqg7E+n7c+j7c+k70GPnB4DYH8AXwY23wo8ctwb\n0LpJ859Ef9ncjg1tGjejB1dmydoP008X2a8Iz0dv0fLTa1Ppr6/ZL+wq380y/7Ho/0za4w/WGzy1\nfioqOiLbekMA1hzQUgDLaBX9vEhk5hr1ltiowVYnuKMR8Vq2tAwcRYosq18Bvkx+PQLzH+lkq5YR\nW34sTd1/AcX9Sxegx7glKyNFr8jn/Q9XZwSw+BlV3s8Bgyp19Mkvtr5elTZUPzL5kxDm/6ECXBlV\nABePR3VvZOs6O51hv1V3gb45QBYPOqAnISsXhTOB2KHXbi1+qhtATVAkSDIt4/u2IvJ9e9ynTNh5\n4clHfX4zcZiPFPgXhbxolcDO5sPXY88yMPPAKgJYdllpD3qgtYpZK5UaO8/zfugR0Z3oQZV3d6D/\nLtZt6O9o3Qfgp9GjlJvQ31jv+ibs2pcZt05Cj/e2ojfQGSjaBz02OxD9l0S2ogdZBrQMM/44gHdj\n9qvuNoQebPkhaVmygP6fir6I+aXl9YaSt0P0QQWnRNhGGZv+4i+AHTsKDR+Aft5ax4MedGWKv7KG\nK0I5ki1qcP0+rNQZ+Srs61e/uvMAiyd8CIjiI8BWXLWHYn40TnwNw1zLIu8tWtzPMcWtHbbOtSxb\nmVLneUIQN1J/G+TrXhZwMbX4yoBKpmMXETSeWldgVP1ZXoO+OUBWVJaBQ2tSuyXCrTajBcHPZog4\n0zAIwlGcF7AaWwXQvKDlu14sRPy9KV+O/zfG2mfBHAkxX3aFwiuYog8F5hhcecsU3xB/DqYWDWB2\n7LieVQA/hKnZ3X/K4U704OoW9Bau1034+wdM72W548IHMD1JtONBs1r9Pvr/pb4GPQ44FNMvSOyP\nqTXLf4D0qEmdEcgyx/eyRuTzFADTL8GzPmDjppJFcGmeIuxRXeYe/1v4yO3ADV/CMDoIPSCO9kDm\nIkajTnG6JyWjqgCrQooHJX9GVN7i/gWK5YDtY/9sZg3iOAMVj94ZYGWLYoiyZ/KWOn7OO2XVUkeH\nwKycY8DlQR0wOz+8cSobqaL0fbseVI0ojTeyl8V+7pHEIwAWAcVs/UVh7tsQ4MMgy4eHAK4irU+Q\nFU2GUTTYPi9LGxpnPtRGiBB6C5ErP8qLyrPQYX6tTLYwjDcGWt7nY0UGWxZfpXrN92FGBCPk33Ax\nQa+AGYMyQxLGyxp6RMK88rj5erwFzD5A9f3owZQBJ3/h/Q701qr/hh50XYOplcs+VjpBVPdjavza\nhekvAPdDj08vBvBm9H/cbHft7X49HxvaxfbXAXgr5vWdn5bsF4a++3C+/zEeoO/qetkaLTO1pUFp\n0RLPdGwH4D9fBPz4OaLyCm3GFGgPdRnTqoMqbqQUEvt+gFkeZtcFImuJmjA1gepKgpcLUfuKtnhU\n3QAAIABJREFUHwZVlsbjqgBWJO9a8Uju2ThG1sro6gXnKcDF6fYcHxt6nzdJBD58GvMVyfs/x6x8\ni4CWB7k+zf/6ki+Oc1zx5ddMiyLgFYGwIQDrH7HYXwsp3V0EWusTZFUAgafK4lPUkvqt9qNNzPxX\nF00UjtIy4R7xrNIrwoqFj9ferM15VfnNqnj1go4BkwEeu1Ck7m9ZuQ7Ti/PqF4m+/qe4dAWuDGDZ\nbfMXYnrGx85+ZbgTwLUAvoTeQmJffr8dvcXrfmDU9cDqVvRGrzsnj6+gB1CHTNLORv8DxlsmbPof\nOdo3tvzdrFX097xuxSzQsqFmg54HWezg/APEEHKYl7TaFhnWiJZxazkefjjwxS8C++2XVM7E++Cg\nSdrdooHMoRHOeFHyitNYeZjPYQ8UvK+QMIeVr+QE3730ytnX2QJYRl6R2+Lk/Mq4D1B0If0z+o0V\n8cqk+qVePtW6UMeFEPnRhoLIq5B/SWVwZfkRsPDlFfgC8rk2PrnvzB8w388o3hoD3jOeTAiqPvox\nUIKN6/xmBFlb9+/9e+8Z+GDW2epizATzkHaj9oZslhbo8mFO8wqnhb4jYZ4pkUjjeZBlQChq1zas\nbXQ2Y3sk4D9OakDrGOgN70GW76Ny/M/H1pa/HL8vekSzFcCp6M1P/tPsvp1/jf57CvbV95sB/NPE\n3YL+/ww/D+Aa4NF7gEcB+PVJ1q5J0/uj/y7qoegtWh8E8P9i9rhuz4QlfwHePjh6GoD3TsqwvPAA\ny1uybDoUwDKyI0O1PLL3i9aWipZza/l1AM78MeC3fiupsNWoZ/xA9HO7CMBSzEady/gxUsokUwSZ\ncvP5vs7WBHKf1HEat50BLkXe6pOBqmjsmd9lQJf/fIOq28c9UGFwyG2zrFUAzPu8wSwvAgwqLxoD\nb430wMlIgS4PqKMfPzHIVyDM8zuEeE1l8Va6UQSykMQ5b+A6W1cg677JP7muFN4qFsFEi9Ljvw34\nvd/LyxxzDLDPPsgHnxcJp3FeK70iyNXmY0GuNGPmt7SgOi708Ui4+M3Px5H+F4CeomMS31e2im1C\nj3J2YxZ0+c87+G9k7YspuIJ7xqxdjwLwcvSX3A1gfWnifh7ADQD+Gj2a6qb/xvNv0AOr/47+iPDQ\nSVWPQG/ROhDASwCci+npqgGt3Zj9Cx37PMNmzL602jB7/Ovx7Qhavnrypyn8rgDK47CiCFz5tAjL\nHPttwOf/PqhsCDGTR6AHxHsbZC2qWNQLEIe9cuN9EN37iQCKxdXEHYv+BcEvJAZGChwuQr5Pvj1e\neDzerfSIFFiydH+OnsWNsvtjCPLYV+Oo5LPnQ423T7NfUCsrpNILLBCUdZStmor4lzEcz3g23nwe\nx32Z6ppTIAsUz15qOF6gdQWyhgBfhVdatIg83gTgC9cAJz5x+XoXaf+gg4Bf+zWd9+hHAc/5nmJF\nGdiJtGME4lrAy1uyInDnv4flNzcrNH+53oMsv9iVKcZAlTfd+A+R+nJ8SZ552OH4tnq2YPoRq+ej\nv3dl38b62iT9TwF8FP1drZvxoLXkVvSf2LoHvZHsGej/0/tMTO/TH4b+JGt/AC9A/4kHjzvNomXH\nhYYdt6P/RaC/dmDkDYjRUaEv78P7oD8RzSjSBVn5lm/uuOOAz/2deFhVGFEkxA0wfwvmf045BGhl\nnamQ2pMtgc+gKrp/xb4HMS1e7SXHyvKRFyva6tGb4sP/iIZBYifKqziXz+hyaHDE5AGWyRQ+oo1e\nABmUZseGWR+y/mR5X0V8ry56w2JLVRZXFzX3BrEuUvs3AlvReNj4Z4AqS+d4gdYtyMrGiKki2Fvr\nMyJ1BWiIfF82/a6vAWeflT/jKTs9yNJfca7O/0//qVAhh/k7WeZ7ocjPKsWlXHSx1C9+L8jsPtcq\npp9At9vcVgd/ANULEn8PzAOsregvLB2C/k3/Zsxa2z6I/v9vrgPwOfT3sg4HcBdw0P09Cx9HD6Ie\nA2Ab+tPGEXorlX2s1D7bcP+kaeveGqb3szzIOsixYD++tOHI/rcwA1hWh/etzFA9EMWjZfArvwL8\n1E8WKqgQM+/TLb4V/f256DJ0BLSiTrT4VS8/ka8mKzrG8eArUui8F7k/Po3Hwx/PZ/1T5BcO72fe\n6ww4svEfQjZe/OmWynN+jJXvZRAQA6xM9gGz4+HjPlxR9CYwKpY5P94WzwAWg/wRpe8tUkq+CHIe\nJHszVSArA1qgPLi0Aq0rkBUJeTWu1X3BAHdonQyyKgCrEo/4iXjJnvG0WaRHeMjH33WRzr/oovk2\nWmPv+dy+HTjikbP5V18VPBhpXRVm8Gbp/u1xkwvzsSMLAgZW/uL7wZiimX0w+3X4p2EqODejV9I/\njumdrC8AeOakziuBbq23ZB0K4DXov6z+RPR/+vw2AD+HqQFuF6a/JrTmrXv27Su7j+X/79rrJ9ZR\n2TGh9zmswJQvl60xRS2A9ZKXAO+7OCncqtRT9LamgNYR6Af6q5hfd5miz/wW32rQGVxFCoCVGit7\npdAZHUeAxcJ+3/j6Vug5jkd9jYAVHxOqva/6AlGO+8A8GPFnYJiGArjorlkLcHG/gfn+KUXfIgZ8\nlsZrLgOMvgxcPqBlqfFb4cvCipSQGQqsPI0xe0WEgZTfS2q/qbQCLQ2yrrzySrz61a/G2toaXvay\nl+G1r33tXJnzzz8fV1xxBbZu3YqLL74YO4KvBSorN1AT7FXKwIyqM3tRq4CXVtmIn1b/IoW3inZb\ny+ardn14i0v7yk7gyztny2xeaber4kZ+bMbiXOzBoBLM4wmDHmWY4PeXmuwvdOwWueVZPRY/BP1P\n/fZBf4nq4ZO8+yd1vhP9seGvAHgWgOuAx+7pv9T+BADvAPAq9MaTR6LX8XdMmrkf07/TMflge8TY\ns+9jeSuV11c8DNFL3My4ifjB6HGH1bfo/rPnOdwBOPVU4H/9z0bBKF5tUL298dvqw9CDZF43SuGD\nwire4rcCsjKgxaDKK0GeeO5vxKsvY4tNHRNW+pf1lZW/vw6QgawW6Kq0D8yDLO6HfxOJ6vBAJgKN\nqg8K5DMvUVnFR0Sfxiy4Uy+Yvh/ewmV50RrrML/mIOK+fgZYmaA3isZHlY0oE4D+eb6SwmUGgt2l\nQNba2hrOO+88fOxjH8O2bdtw8skn47TTTsNxxx33YJnLL78c1113Ha699lpcddVVOPfcc/GpT31K\n1uf3cAUEteLZOq6Cmwhk7e2waj9af9k69SAra6flW7gKhjwPW6isaqOaxr5hG4vvu2lYHcCs/nnE\nI4CPfGSat7oJOMnuYHnFamd1Zs2y48KVSYcPcPmPRa+kHzeJ34reTPVmYLwFeMe9/fHg+9F/SeKG\nyaN3YPrH0SP0eu3eSX+/Hf2nt/ZM2DG9p/4mx8t4UDx7gYOLRzRERkbPe/+pTwXe8x7giScEBfjB\nrFJFFcHMgmGE/gj4Gug7egjiEf+VAeIJUCCL4wywlEKESzNesovrajM9F8BnqTy/EUdWrBaoMp9B\nCd/3icYbxbiiT2H+bYR5rvTBW6l8Hs8Dr6PWmlIbUeUpAOKJ74rxszZ3XgHDpXvQER2NArMgzPMK\nyq8IDy6n6quCTMVDxRl1SV6BlgJZV199NY4++mgcddRRAIAzzjgDH/7wh2dA1mWXXYaXvvSlAIBT\nTjkFd9xxB26++WYcccQRc/VFfbMwgnhlPyk56uuJSIGsKmBq5XvZxrxFfPEzPA4KZFX8VlrUruJr\nMz3X0k1RnOU10M/HfpjFP2Pnq+c92Bijvwdl5e/+KnDq0+af9fF9XRqXe/tb+0+PdB3QjYGX/lvg\ngH3R/0zwkMlg/Cj6O1lPAG64BjjgDuBC9D9G3IXecPJl9NYsu38FTI8IV1379uF4D7BMrplsOxRT\na5iXa0pfex9BnGno3vPP7Ltvf8fwwgspQ032IoozatgoEzA+vIoe2f4V9KJCEOc2h/CsJiYDWD6d\nFSKDnmyDqTK8CPgzB9EYVMnAifd5wWb8ZX2Di0eL2bfH6apsFFbPKwHEQHFR4ZgpyYhvLwCz/nSO\nzwxYRff+fD2W7tcmA3nmNduPzCtTNg7+2SEga0FQxbQUyLrpppuwffv2B+NHHnkkrrrqqmaZG2+8\nUYKs6OJ7NN5DBHxUVwZYgOkARXJUydNlfOanCriMMn6z8NA48+Db2kJlh7gWUFpBb0hSzyjfywTb\nX1sxlY/quhb7h2JqOfKniLsB/Opr+zT7Hun5P9Fbqe5Bb4U6HNPvWX0/gPOeDJx3JXDeIUC3FXj/\n7wOjFaAbASsj4Owzp/XvwuxFddNzfiyULPD9jwBVJGeHUGX//V/y3j3ctqMs93znXGvv7OydhJAQ\nQi5qwCiJGhQEOXBEw5GAAUEuR+AcjtACIa3Qisrx2iLQysXTcmiJAsq1vXCJkAYJIkENIAKJyFXE\n5EEDSWCHQDiS685ea83zR81vz3e88/2qasy1Yy+6v+cZzxhVo0aNqhpVX/3GVzVqvO51wOMeCxx9\ntFygnZNGVqv0Y0U7EvbXRq/K4Tgs5mf1dox6n540Z4DFx7q5eTOcV2dZqeWjlh+3ltQMy+vS1fLE\naWTAYn+uuK309daRWrieie+cj63kmJVRDRKzbYxoB+HSyhIKgS1WoGPOh8YzkXDOkjUGutRaFveo\ndXau83aibVvlI5TeVUBrRfjaFmRNJn13mc2GJZddd3uEx/AN3kHRID7jZ9ORxFV7xmsUfuxe9Wwr\nbA9Y8XUunIOsVp+QuWu6gHUM5Nxucx3rIGAIAuxmPev0FluytiSe2sbp3Efp198Z8vJYEe+dMVzg\n/QAWU67uNg97M4olagPAPVH65a+gzHl/H8papc8AcOdrAPwugMcBk+uBpzwcpdEfLDf68SfPLz4S\ni0WwohLG0vCkJP7hMxjIBMB3nrXIq2srh1M+/anF8Xd+p7khK1hUzrf8tiOZ8q0plzj+ZhSqv4rO\n9TQivW8rLezuAawsbO1LtgwAtrD8ha3mw1myer4K0nxl5M8Whh4llJV97f7qZgWk5di63g17al7G\nAJeG07xpGpyfS89HMPyyMK514XXS/lbDT4cFXd3h497O2+VVw+pxjygcZi8ucU8zJH7p5cClfzfu\nvtuCrFNOOQVXX331IffVV1+NU089tRrmmmuuwSmnnGLj24vlZ1N7Lj1wpXUxe95ZnAxZmQ7N2n3t\nHN9rYvxcGmsS4WqQVWvDei6zKLl2r8cBWbUhOAdR2gbY+hRbTIlSuIo+IGCJLVExjynSuRfluapl\niofgogwmKJAVlqpYSgHz8KfMz30di/nu90JZB2sLwAPnYaIerW+hrLPwEwB+A2V88GKUZdX3ovxU\nGigzzY9Cga0wDd6A4RLva8B3fjuW3s5mNyF/W4PZI3GrtL7E4jUjarLd86sIV1D208bmKvWJKJDF\nY9RZY4LZ63GWNu2s3bPj5zojt16v8brGxfnP8hISjSPLh/q7DtDVvx4YceddOl26WbQNvB9tUNRr\nFBKztNbKu6WMnTjF2yP6lql5UpjguHWCO+edLVLOQuWOXdtz7c89A5WsrdZEgZrBKsqBOxztfLaA\ns78XOPu+C7/nm6/vVbYFWfe9731x5ZVX4qqrrsLJJ5+MN7/5zXjjG984CPOoRz0KF1xwAZ74xCfi\nwx/+MI499lg7VAgsP3st9xp06Dktd+d216moXsl0aUvXtnRzVudq4uosQ1YPUNUAyoGW0yGaHv1t\n4JbEpRYoruuqDzjuCQrM3B0LoNLhvVgWKz465NGAiH8fhpAVFqoNFEiKsow4j8PiB83xC5yt+TWn\nokDW1+b+t8/D3Hd+n5cB+HOUxd9vAjC5EcCfoZi27oPyV+dvpcTvnxfgFMN/KH4Ki/Uc+KeFAVwz\nLJaFvwXLM+K5kLXj4E4bGDYUPj4obj2/XTmccKXpcnlzijprgPdHmZ91I8YBVm+eHGDxsQOrFjRz\n51izcLU6fmAI0FHXMtip5YOPWQGoMtBOvTedY8TBRyvdtX0ct6DQ+bO06k4PVHC51SCr1Z4VuiJO\nfj4KYRlwqfUr6+Bd283OjREHWVMsLH3OwhV5ieNIj345WZFtQdb6+jouuOACPOxhD8Pm5iae9rSn\n4cwzz8SrXvUqAMD555+Phz/84XjXu96F008/Hfv27cPrXve6NL7e8nf7kF44yXSrxqO6RPeZfq0d\nZ22O7+vy4NLI/hMsQ1Yc60t4zVJVG7oDnXNpAIbDhW5Yb4bh/CL24/rN+Wa/IzEEK7ZexZfm2g8B\nizb+EQAPxWJeVSzqyUuoRNwbKBPTb51vu7FodwcB/AGA56IYnXbPr7sQBaxOQVlo9JUohqvTAEyP\nRVm74WSU/xk+FGVF+aPnCfssCkUeg+GvfL5GGQ2Tr6v4MywgK4Ya9fPDFnRpnOG3IWEyGKv5HU6p\nxd9qLOGnDY+Pdf89AP4e/j+H6Nj35CMDLGDxrGZ0DLNv3Us7yVbHP0P5B9Sb5vfN5lDU6gOnkTuz\nyJemRd16v5aCzJ4/yyadaz0DPlbrVM+woKZb/fR6hctWW3MyQflCVof1GGQVFhRydSK8Dh9Cwmo+\n9b6uw6114K6jXkWvXItFR+OswRlgMeg7K1eHbHudrHPPPRfnnnvuwO/8888fuC849ClRXfQZjQUs\nFndO627tOK6NeWFZ21jFnbUrpzvieTpx/QOvCs7TYOKY6xnrM9VtDqx0OF4t57HF4uYOsGILixP7\nAcN6G/fntAJlhC2AKvbBH/FismHiCnCaoEARz7NaRwEtbk8BbLeiLH91MxaQhfl1t6AYoo5FsVzt\nml/7WgDPQbF03Tovk+MB7PkqgL9EWQX+/gC+AwWqNlA6se+ggsG8oP4ZpWPnTwljrxuwWPeBf2qo\ni2nFNpM4Q5xCY0uWA7OeTlZlFYXpgGlMWPXrAazY3wfl+dU6z6yT6Umna1DcIcSzmsmer3Vxt8Cq\nlpc41kniNeXLx7xFA9QOC1ju7DhtOryp6YP412SC8nbkOkqt15mSy0CL93FNBlE15e86Lz7ubTfc\neejE92jzGiYDKgWvSJMOF7q8TOR8iOoZzZvL61jg4g5Rn6UDLJ0v4s6NkB214jvrfH1eYwALyMtf\nnyckLo1X54OOhSnn19PWWKdom3d5CmHI4rh02BlYtljFsbPg8zVaL4FhWd+ChVWntk3omIf3JhjO\nowKG9zsSwz/kxB9zGLI4bXE9/zj5aCwmsfOCnlw3wtJ1LOaAhDIfLMp4A2UI8VqUeVjHosDb0SiT\n3l8A4KUocLY+98dRKFase6CsxfStAC4B8FaUMUaGohgO/HOUv0YfgcWcrMh8hIuCugaF6jbmYeOX\nQvFvRl0anuHKddrcMHpWS4bZ145nxi+TXrhy8fM5p+TduSzeszEELW3sEL9WmmuAFW739s3Piq/P\n4o/jmrJxaQ+/qG/hdv8cywCLz4UFKZsD0wJAV7atOqHpC2h0adV0avqy9Gbpb+WLRTsGPcd56JHs\nDT3iUfDQ8DqHw7kjbbW6n0Gi5jXr6MdAVSa1ziuDLoWq2rlEdhRksQ7pKXfI+UwcHAPD55wJQ9aq\noJVtwLC+ch3nF4N47lo3WaIMPoHSVzvAUjfrawYfBix3L86n06lTLCw6EY9arRiI4r6s8/h3gTMM\n28QeLKxV67SPFdEPSnhOQxhwYiX13VhMZo/f1mAePoYRX4sCS/EfwZgyFf3Ob6Es6n5XlFG+4wD8\n6/z61wN4MMoI4doExdx1PAponQrgefPAp2Mx2X0v3ewtKNB02zwxMa4ZZjxWyhMsJo9x4c/kWL/m\n4DdabXgsByksg1gGXdnexV/rQHoaag2ssjgywGopnCnK/5D+AstzldxxT7r42AEWP2NW7qxQnNJn\npeI61V5lpVCSCYOYPnt9e+sZZsugCsYfxs2iMKHm8xrstkCrBVtc7j15hITtbQO8/SGGHYwL79o/\nn691IM4N+OelbUvPs38PYLXOcx4iPD/vDKhabpZa2ZLsKMjSzp91W1YHa4Dl6mZLr2tcYyxZPTpi\nS451/qm+KHA+s3xpGSjguPbAUM/6O45VL7NEveO0c78wxbIli0FORwxU10W+ZhgaXCIehiz+OjAM\nNDryFfnlZRquQVlq4QCGKyVwfxCT4g/Mj0/EAs74P4IbAJ6P8geddRTQiuUcdqNYsr4A4LQZyv8M\n9wO4HAWojkexZn0LynoQx6PA1jEopq8PoUzuikzyA9UKPAFwJRarp3IBQMJC/KJwI7xTXFHIrHRc\nR+Q6KZfWTDGOkVrnkzVspxT0WBuVc/8wykcMTilA/Fw6NI1Z584NTBtwSzR+bXiqgDJlGg2CwzlL\nFt8noIzN4DVg4UbeUqSufrfqAIe/mdKne+2MW6CVgVWrs3Bpr+WF0++eqwo/Mydan4BlgOI66Z6N\n5gtyrG5tWwpXGkbztarO+HvJix5z3QtxQ0AZcFVkR0IWMCz3TNf16EGn49xzy+RLKH0cp6m3DXFd\n1ftkusS9KERekBxrecTIEMeheze3SvW5A6yQCMdgDPJjyOKPN+Kea+Qf86c2sCxRv7k/fyuAJ2J5\nYdCpCQtKA/+K5kgUhonRN54jHvcNa9YBlI/7HofhB37xYd9uFIh6Korlai+KDj84P78PhZvWJvOL\n45c8x6KYv8KqdRIKaJ0wT8AT5+czBcYPag3Ae1GsWBnwsLhOwym6kKux/FXBFpZBy1m42K0KVOHL\ndSC1znPMOedfUyg1v4jnkQAuInetA3X3dvFmnTuXm1OWtbJQONiSfU25xcZWqpZwmhliXJ64o+9N\nS1bWtfTEfhPlZSfeqnTTYcLsOfRYtXo7jIn4Z/V+jDhrHcjdY4nJ5mI5KMt0lOZR20OW90wnrCJc\nt/gtnAHLtb9ws2UBEr4hOxKy3PNoPasewAqp6VHVw1MMJ79n7WWr4nZph8ShdZbdzoqr/SynOSAr\n0sFwMxO3wrlOU3AS9ZSPuR0wZPGyCjpMmOk1LR+u3xF+LxajZgEzscWitpzeyHP0ExcBeAAKQMnS\nUwM4i/jfgsWPnPehsNKRKEajo1GWZ7gNwPkooHUTFhPpd8/Te8gMdzTKmOLxKOax+DN0ANfHAPw6\ngNMwnKw+wZAkg1bD3Hc9hpPdNWxsPFSTWQ304bO5kNMRYSfG7SCLj3uUpwszFrxq/lk8rQ6O0/UI\nFItWNnTo7u3uGXtuSAoj+nY9Q9+ioGNBQOO5H4BXdeSlBipO4WgDd+6xQOXSpO7afCxNnwOqXpga\nA1ur5M3JBGUKwv9APxTHdQq6DGk1uHL5UWXOdXdiwoL8FLAUBGp6YyJ7YFintPOLsNzuZhKGO7yR\nsmMhC1h+fg6ugOEzCFHgqok+U45zguV5WVmfpG4GnVpddFDR0j9ZvwEMLVk8JKh9qxt+Bvmpm8uL\ny023L2Ex53pN9s7a5Ib3Yr+VXLsHfj6W9kugfDM0raGMyMVwoRsynGE4ZPgslGkOR6NA0xHz7WiU\nyf4H5te8GIWRYlX46Tx+7MbChHYnFNC6C23HA/ivKIsk3h2Lmfb6paB+MbgG4NXz/V4Jx59dckE6\nS0YmMxRq5AeglZWVpxtGBJ3nY92raNpcWleBK/XP4s3C8PEuFDPnm5ADQUs5a8fA8U+xXFaxsfLn\n+3JZZmCgJu0WAASYcCPReyhc8dtUZvnpGR7UtKwCJpx/TktmYVMF6NKmHXaro6jVi1rexuQxxL2d\n87FasrQjAOrDieyvQOXqopYPn9NOxdVjlUxnOOFV76cYdijaKcZ9efgws0p0yI6CLKdf2K36zbXD\nOO8sodlzrfUx0Tf1tB2ud9p3KHBBwqtVNgMc7bf0GBha3gIusmPtcyPPm1iuv9re3YtJ6Cy2ZMUW\nC4ByXx3zqlS0LGMB0AkWK6wfj2Urls7J4ucSwBTM8kcAno7h2p7Z3KwNAP+IMgf9rpT+3Sgjf7fO\n457N4/hjFI560Hw/xfzGe1BA6GiU4cJjUZaU/ySAJ8/dJ6IQ4D4sxif3UEJ3YfiV4efmBXIUFahu\nUYAtxZ81hChobRDcybPicZ0WN4gaWGXiFAOwnOaxcMV+LeCsyRNRKlVvZ8r352OFEIWhDKxcnBxf\nBhI1OGDh8fzac8vgqgVVrfPAcrpWeVbPwtDCk4GWpps7Vzf06vLiyjIDLhUFDycZRN2IoVKvhWXw\ndH6t+uE6Mnfe5cP519xZHLX6+GHJW+gt7mSdhcsdTyWeDtlRkJVNM1ilHdWeg4Otiezj/AR9kMUQ\nNRF/jZfBy+kO1anhx2mqtTk38Z2hivs5p0MUetzLRtRTjovdDrJ4DpZanVS4/NSaNUFhjiOxvBRU\nFi/DUkxI/yCAn8fyyggO1GK484dQ5qIfjwVk7UMZKjw4D782j3MfyvIOt6EYqnbfiEJcN81v9Pb5\n/oh5Zu6GhYXrOAy/NtxDWyQ4ttejQJmDq61k00aVNbIJipLiVeUjPG9aYM6aVau4Y8XB0CrQpcDj\nymEMeP0XlOfRAi13j9hzOUU5agfmOjS3crLGqVsrTt5UMeg92IrF992i8w5eei1avXWWxZWrAlUG\nUw6uesCjBiLOD2bfIzVo+kMsDxVyWajFRsOx5Yrzm1mueqyhGobTpJ0jEnevqPLntCtQuT2SY2f1\nasiOhCyn99yzy9prnGOQyZ6TuxfXn3hxB8XlAMtZjLVuttpWyzrJ+eK0at6uR+mvuW6FXok42Yrl\nVlpX4OJycvnXdChkxVyoAKwNDO+p7UohK0ArIOr3ALwIC8iKxUQZsjg+znNYtHajGI5iJXe2aKlV\nLCbL34wyBecyLID2SBSQip9KT1A4aA8Wvx9cxzyy61AW0Vqb3zyGEMO6dScUy9bx8/PxlWEGWy+W\nzNWgKlP6LFoBAN+5ujcPtmJxHBM6F9dz/FkD5YaYHfP9xgCS828pdD7vOoPIY6yOzl/jZenj9MTe\ndfRqyXIWAxdnBlaqYFhZZWl1JueJ2TNMOaDJLHS90JLl2dUJPQalS9PLac3mU2SQ2sojIoMAAAAg\nAElEQVQLzLGmuxe0ND8ur2zF0j2HzaxX7FZAYaUPtJ9RHGtnrudYFMIg4Xrhi/Ok1qvWvmbJaj0j\nkh0LWQ6o3LlpZa/WUhWnJ1UmWAy/uTS0AIshT/34ntw2IX4cLtObnBden5L1nMIGA5Yu4Jn1W1n+\n+XiC8jL/dPihQp0/rcJxx/wynlYUfUxMfr9d/PWjIY4vgO+I+bVPQDEosYGIwS3Kcg+KZepWlLlW\nTwXwOiysVgfm8UUZxI+s987jnEZF4uG+ILG988iPmW93RrFk3RkL0DpqHiZm3e8B8EsowwJ3wrBC\ntTojFqeA+firWIyD9nQCCltZBzVGWoCVgaJL6ypApuIUBzfwI1D+o/R2lK/Y9Dlkacrg1AFJtoCf\nE42XIahnaC7crh5kaWfFo2DllIb6j63H2fPU409gqOwyq1oNsMZY/3rgI0t/La+uDYXfFZReJHvt\nHBm4arCVKf9M/2SQVMtbBl1j9UbI5ygP+iLIna52ws7q4c415BsCsnramBP3TBiW3F7DXA3gTDnP\nhgF9GQSW2ynXVwdcnLasbWcvUtpvTVD0bwwZqg5z+kVfPLXstF/KAFO3mPzOQ4VsUZtg2aLF8fN9\nOP0BVH8L4AexDEU6XMjtgi1rB7H4COduWB6Fi/hiKlUMC96OxdpYz8NiQdOArBmlJ+atH6K13Rha\nowKwjkKBqbBkBWAdi+G6WQFa/3F+/Z0Xz6kJPywOdrQiTQB8FMNJak75aRx87OYyrCotwGoBVHbO\nxcVSU/DZuS0AP4qyeJrrSBkaNY2sAHiCLiumGfnrvwQh8fD6T6pM9O0wU7ozDCdq9sBV3JvzoRbW\n2r01P9vtHDiNmn8Fzy0JX4OrnnxoWbq6oHmt5aPmp/Ox3DNit+YhsxiMhUcHXLWwWd5agOXaEB/r\n83PWF24X6mZLh7ahDtlRkMV1IXu+DlwUVjQ+9auBFuR4huGCmK6uMCTXAMsBF0umU2pg5epU9Oeq\nzzhNvKSCA6xshAhUDjXr4QQFMHjBULZi6R9aNM8KWQFXuh0pbh5N0bi5HGJu1u0AHg7gKiy4ZzcW\nXMGQFVasg/P03AbgV1B+n7OL/KMs1iiuQxGx9YoB6ygUmAqoii0sWwxYD0SxdO2TzPI4aVY5MrBy\n2z9g+FNorRguztbwSS9suYap91XFXAO+GlzVzquwwnfKP/wi788C8DL0wQCXp4IJP+PMitWzOGgP\nNGSd5x+izDlzcXN9Y7hy9+WGqHWkZdEaK07BKAQqbLjymZnz7lwLJGpwNbaOuPwpKGVhJyaMdqiu\n483yDiznFyZcDZacrHKNCn9ZCCwDV/gBy0Ppbh/p6pQdBVlqeWQ/51bdraCV6T93XnVnnGfIyoBc\n63UPYPF9MrczACh0wRz/FYCnwU/RcUOELcDie3N56GrskY4pCpDcgLKuphsujHAOhvR+bIFimHoT\ngEdjeQkGZ81y8YU16yCAP0XpP9YprELWXhTI4i8ipyjzw+4N4AewgKw4tw4ZKgxL1pFYQNPR8y2s\nVXcSv3D/Ncpfp483Gc4Ik497t7jmX7FsgoQpWPfwXOfpgEklC+OgywFSD1hl144RTosDDe6onw3g\nlSgWhp406bOI8tevOhm4aoCl5msdxuNn1Oo4XT3QzSkYvi/DCm8Z4CmYbAe2fhPDN9BIn3tDzvYK\nHg7GXFozCAHG5UnrP8T9Nix/Pcnp1zxxGO3IIP4Z/DrrUFaHMghz7qxj6AWv+NqXO16GBaenaoAV\n6XKdcyI7FrJam7NcKWip29VJBSp3juc38fPVl5rYT+XchK6F+LGw/uS96lyn1xW04rcvrN9Ur4wB\nrEhf7BmwdIt0BlNsVsJxmvVeW7TnYUf+Z2EsC9XiDY1XQetXURYSjXsoZMW8q9spDLDo574I4GIU\nqxjP4ZsAmARt8TwsXvk9QCuGDOMv0+F3FAqt3gXFghVjkLp+litkLWyGKN3z9pl5pnZhudN0Y84h\n3AlxgYdCcspJgUcbVAZYDq56IKYVjsP0pI3DajlHfv9XAO9EmRNUS1/E557RjNy8CG0PYPGeFUML\ncDjvQL6Mg8u7u9eM/J1Sb3UCIa3n7BQjsGj4/OKgEOjgK+twW2mtlWWWl1bddIDBilQtVKpo9Vgh\nSYEys15leWN/bR/6HA+XuLoIDDu9LHwGXZmlldtjh3xDQJaCNYdtWa+07ENYJ7I7wnH5rWFYR9Ry\nw/VJYYrv4/LBsoXl9SLZOpmBlWs/0dEHXE3IPcWynuF0uTbMYJUBlqbpQgA/i8WXhVN4FlA9GPfj\n58+QFWtsrqEM1f0fWJ6Xpcs5aLxq3dsD4KcA/I6UA0+liv8zb2LYJtna9REUDvouUJ2KADxcGJAV\nQ4Y8bMhwdX+UccljMFxm3oFWVgBT8ctAK7YDKP/6CkLmcFx4WrG1Qbo3QKBbOQEUbwZYGVxllXis\nsGJgt+4dbHFapwB+BOXZXpqkVxuyWiR5DFvfyByIaHzxnBgmegAHdLwpcQLLisQBDIOMA69e0GvV\nI/fcW2XAisBZ97YDWi3w6q2TrXzF8bswVGDcThXAphLWdbgOrmrQ1YIxba93BHCx6LMNqbkzy1Wc\nAzx8JLIjIUt1tlp2Mr2gbQPIIYv1I7udhHXZpU+tVgxgDFwgP3ZrmnT4GHQfPs6gK+JhCxLrNdYv\nqi/DzUNeGfzUjCbRN1yHwgKtoUIVfcaqo3dhYc36KAqf7EJhA2UM/dKQ7xH91REoHPO3KMzDzy2M\nULuwmPC+SWEYsmIF+DWUfxnGaN96fE3IliwHWmHVeiwWE7qOQJmnFcOLR8KvmeUsWz3A5bY/xsKC\npR2PKmBH6FkD5cJ3UgOp1nG4W/dYRcaClioCvvYHAVyS3Mc1aG4sThmyYuB4dK/Pym012Il7hCVL\nAVDTq7A1lXv0AF5IL2i1QOQ1aMOfngv3KparXjDsOefy4zq3L2PRFrdMeG67Cks14FoFJtHhVr9W\nGWhbZFH/r2Hxp4oZhi8nNXjgtKjlagU43HGQFdacrO3VYHRiztUgK9PRWoffDeBcSgNfq27te/Q8\ni9MdLowDLAdanIf3AXgwhqDF9WXTHGfQF2niZ6PPhKGJjwM6sn7dQSLnne8RgBXWrNi+AOBb0eYL\nvVfA0x4svhr8PgCvBfAt8zQwRAVkxXpYDJtsqOIF2teA8s+dW1D+N6TCHVMk+CgMl3mICAPG2JrF\nn0MGZLn5Wu4huAfy98g7X7Vgtd7oQ9jtGoKWR1zDx3ytC8PhNC6VVQBMFQWnKfY1uGH5DQAvRXkL\n0bRmgBUVeA3LsAXkXxhqnAzNCjwOsFT4c+AsvbUhSec3puPu7eRc2c8qadO67CxaPVYsNPzG5CHL\nV+bHnRCwbK1woKXPMYOrGmwh8de2Wmu7LFnd6xGNU61TWbjMzZ0vp2uLzjVkR0EWAyMwrMdb4ufc\nrhzVIgrkcJI919BtwLLFaiZurb98b32x0LSq5SsDLNVrbgvQYJ03ZohQddMMw0nhDrCi32a/S1FW\nSc/69gyy9B4BWbEPi9JBlCWJPoq+UTPmmeCYAyjMEpPgfwbAX1BZ82ifWrImdB/momCeyQTLGXVW\ngHhg63SzbLkH/UO1W3tChxHXsFwwOob7XgCfxWIlWX0A2ilmb8SsULOOxSnYFshwnA7AavFlsh3g\n4rRwmjgtaq6Na38OZYLy38g1GWQxYMXzmsF/aciicNUzXMeKSOPWOVmaTlU2fC83F6vXigb0Pyun\nzBg2erYabLWsWixZHtSvJ28twAKGS66octe6pfDUas+9Gxp+mu9a3jVMBmYsmj8nGUhk6VWdx6DS\nkB0FWaFD9PnULHsKqg6qGIBUF9aOWc/rZGbWrToyoG4HVE4YqsLN/ryP+2fgFdaVKBOd06npyqxZ\nLo38DOKZbWEIWBFPWHe0P3dgmN1LdeMGFsATSyd8BsB3w4+a6ZAhQ1ak73YsIGsTwI+hzCnj8DHZ\nXiFL4wvAWoMEUKsRW6/iBhxJjD/G0CJ/kbiX/CKcWrX4P0EZXPH2ifm1WvCrKluuqPxQszcaFy47\nVqXb2wE7ya5txTkxx5mCmNFxxP1YlMr0frkWGL4RsFJh0HKdAiSuDOwdaLWgIRpfDQQdcDnLUa8l\nC1hOh5MMQPi5vBmLCZ1cpj2wtR3gqOVB/VrtgvOlgOUUvEKTOz+TMK4DzuDL5c3VSW3DmV44nPJ6\nLJeBQpeCBPs7K5hatjpkR0GWs8y1AMuVRQZcXC9n4s4k2mLMy1KI4vrC5/h6V+dr9wvROsxApbCl\n22UoX7qxnlsTt1q1eI5WlgbX96pO4nv9Mcp8X4WsbMUBFhd/TH4PfR//IXwCgGuwvJyD9oP8PGNC\ne6x9dXAeX9zrWQAuoPQqZHG8HCfffwAz6xRwimULU7YifAwZ7sVwDldYsmrDh7zxfRi+vj7P6BFY\nftC9HaBTuC68AoirbBxOr4E5BpYrTya9QNUKp6DoOrwphcuU84+hWBDjGgdG/DazSccOVFg4nmyY\nrGbRcs9UJ7g7MzFvnGZuzKpItrCcB5enXthS6I2094CVS5ezaB1O2GpJVr85n78FD1EOqhSgHGyN\nsWghcU/MeZAbFXeWX90y4bYyxXI9ZHEW1sx66fJSkR0FWQoPDEoT+Hyrn2tjsVf4Vx3p2iWw+LPI\nbklPhOH7un4iixfGHXE4vcyglcEV32cXli34WbvL0qJ9oIMt1v/OWMNGlINY1slZe9H2qLAVk/sD\ntC5AGYU5ZEXCcltgIIrJ8mHJCmhj/fkLKLor+jm1ZHGcbIxaA8pQIQOWG8/keVSZFYtBKuAq9vE/\nwyPgLVoMbm4s9aMA3oFlC5YqFH4Qtc5DFayKApYDFb3eQVkN0HqkpeBrnUHmpw1wJseu0wGAV6F8\nJnsVhVdoicbFgJU9I04DH7u4tGHVAAFYXkVYwcqlM4PDHgtaqz5G/lr76EBacOU6lzEWLZc+wJdl\nrQ45yTqp2F+LOmS5IRaum2qxUsBCw90DXJrvMaBVA03XiShMqUVGOzK9T0++O2RHQZbmG1g8m5rV\niuuHto0aZDm3gyRg0U/qfRR2tA5zfM7C5UTzr+Wi7cWB3wRlXu1JGAKWe/GsgVekIdKv9TK26LMd\nbL0EwK+hPi9LrVmurTiLVkDWxvw+z8XiOSgMRbwMROso/QavTr8p17wAZSmKvVhY6CIdHCcbrdZA\nmdShwOyY4chBllqz3JeG2dDhuuzXUBbq+/Q8fCaZknF+bq9hFJZ6pQe0euLocWedQEupTuRYFUEo\nJhffcwH8+PyYGwM3JGfBchYgvb9781ELk8aVbRsm3o1K3DwPy1mweqBlFVFF9uMYKqcMrjJLltsy\n+EJHPnrrUuvNN45jvgN3BA4kFJxch7WdDVjOc6YjHHQ591iZoLw8qrUqzjl/te5MKue4PnfIypB1\nww034AlPeAI+//nP47TTTsNb3vIWHHvssUvhTjvtNBxzzDFYW1vDrl27cNlll6Vx1vLioIqhKwOs\nsZCV+fNUlmiLrPOzbcvE3xKn1119dlYtzvubAfxXLOs/TosOEfK+1teoHmKLVujWKLO/Q2GA0MVh\n0WK4ir2Wg9NrDrICjN6B8iUoD/tx2hWyYk7XQYqP9WqEfx3KsOc9TNza5xyyYumNdssxW68YjBiW\ndLkHBq0jMRxS3C3x1IYLfwFFMe9BXjEddIQ7U4ROiWaShRkDUnG/2htLza8GVrVzNVHlEQ2VO7Go\nGyw/i/KmkAEWN6p441vHsIG4NDjIcsOPDipYjkNpAFdhGazUzYCVWY1qFi0k6dA0ZQoc4t+yYmm6\nMguWKpQaUGxXNG81v+sA3IzhBNSaVWs7YIXEjSQMyF1rp2NfvGriICjKxIGxWvEg50LU0tMhncGW\n5cUvfjHOOeccXHHFFfihH/ohvPjFL7bhJpMJLr30UnzsYx+rAhaQzw1ubdxJuxe47HytTUL8fx9+\nCo37Qr719bx+9VbLd7SZVn6z/Lt+VvvczNARe86Ty7dbm0rzx8ygx5kf+zv+iC1Gz47CwmJW4xS3\n7cPymqC8HY3yIdiHpDyDm5Ym2QeZayE7iOK5VWyx2ifb3mTv5mY5q9YulC8EfgLlFy+HW6mNCZcB\nTA/QZOCUdQgu/loHoW8QCgRK+bptGLf6uXPfDeCXsfi1AG/sdxDDLzV4QuGGxOnuzWbeDHKyjnLL\n3EM3F38GNK3OPGQsuKginyVpmlWO9c3O1Y8eCGnlzaW95p91WGMg1m1jwmoeYY5hjpGEUdkuqNby\nV4Pr1rMd8xznsrIl6x3veAfe9773AQCe8pSn4Oyzz05BazbrSw1bYtgyHuAJDCFyS66ZUhhnzeLz\nCvJ8DCwDC7DoQDn8FH6xY41D8+nai7ojLZqvKA9n+eP9fpR/CPJ/hBnUNH2qk9SaFWlydXfN7Bm2\nzkH5p6JCpwNEvZe7L1uR+Mu+AyhLRvwllq1Skbe45zpKXxVrb21I3Bw+0vtllEWVf4TCskT5poDF\ntKjHCl9BkLxOlpLibiwPDbplHHahzP15/zyu2ltHSFaB/9+SeOB63HutHmeQ5Y5rfk60YakJPtxr\nFAYA7oVSid3bFluwWnOz9G2LLU3Z/KgWbAELuHLWq02JvzVJf0znzfuauPr8rygvF/G5dauT7elo\nYY5hjrcrTjnHnuvYL6DUDe4QJw23diD/FlYtdrsOZqxkOuxieBNS3LOV3y0Kn6X/joas6667Diee\neCIA4MQTT8R1111nw00mEzzkIQ/B2toazj//fJx33nlpnAxTARFxrHV4S84Dy9CV1bGezQkPFyqg\nbWJYZ1x8DGAsWd1UyMrgqpaPgA8HVzUrH7BcDq4exrYue7VszbDo8xX22MLtdIgDzygPne50O8qH\nCh9GWVg00sdx8nXxxWAMAbovBxmy4l4fQFmI/SxJ0wQoViyd5K6T2hmq9EtCtXBlw4V7Mfy9TgZY\nH0eZ8xPxtYg7ezNAx/nDJT1A1QNaqghbgDXWnd1HyysUFlfArON5J0qn+SkKG28FsRLvmrmW760N\nXeEnszTVOlNg8TbCcW5gCFW1uHuhLitXJ5ny4OMeK4amqQcMIfsVOuFD6czcNdCKfaR1QnsGe+fW\nDiSDjewcOvZ6vKq4dl5r+5p+3gPDjpyhCnSeQeOOgqxzzjkH+/fvX/L/zd/8zYF7MplgMvE5/uAH\nP4iTTjoJ119/Pc455xycccYZeNCDHmTDfm6+n6F0YHcmdwZVPUAFca+6HUDp13SZFW3H2f0YsFr1\ngyVedt30AAUvvefPoaxgzn1q6MievpXTo/WLp4M4wOLtAIArUKCEhxjdcCmDH6eBAVZf7pkxDgJ4\nNspcMLZK8bV8ffQTAVmuv3JAtwXgnwCciEVdBTAkODepXSe2B2jpJPZsGJFhaw/dQ6Hun1D+eh1x\n9IzH1ypFD0gdbtjajvQAVg9UZZ1LBjksGfCwNcoBxn9D+WUDV1aGmF1YNDy9Vu/nQGiLjlWpuDhD\nNiSuUCY9Vqxea1YGXCqtjjfK4P7wVqwaXI1JY60ujIGtnhcXB1h/JmlYBbbG1vVe4HKw1WqXLck6\nqjj3Rxh2xAwK4cdlBSx3rq48Z8ClnwYu/cdGGkSqkHXJJdlPtor1av/+/bjb3e6GL33pS7jrXe9q\nw5100kkAgBNOOAGPecxjcNlll6WQdU8M6ziXjdtDjp07/HogCmbPcg2AM7H84uDi4WFEltZzce0z\nNjc8mJUTp4ctWQox3K+28u/S1ANYsT0ZxWpf69s1PZomBaTgmYNYTGKPfuAVKIzBoOWgiaeWaP/C\n9wxjghqlbp2HP2Z+fjCBTa1MDrB0Elo2T0thK44VsL4E4BHmvNKtK/gWbPVCWE0J9sh2YC1T4nxc\n6wizSt7qhDReLRet8NFg3HUTlAbzagzfBhy4ZJCljYzhiK1Nm5W4NK8RPrNmcZyx6dBmD9CouHLl\n41rdrFmvsjRkfgqlvcCwKkBk7Yy3SBu//WvHUIOtVUGyVv9d/ifiP6ZMesJEOM7jloSZiR8oXAac\nFOfZ3wGc/Z04VPef/5Z20tyoZZc86lGPwhve8AYAwBve8AY8+tGPXgpzyy234MYbbwQA3HzzzXjP\ne96Ds846K41TX7RrL97aH9RexmsdeU8ddh0zT3auTQSvTQzP/GqGhpr1x+nVCcrCpDoB3n3gpiNN\n2ndnfrUPAtTvVVgeBTsy8VPu2GPCuAnssX87gD9Ae/J8do/s/hwfl1/okUMTvdxcLDcPy2UsAyy2\nZPEK8FOU+TynA3ho8qBqFS+rSL1vIj2AxdKieRd2u+IUfw2ualYPhgmdcB6bTkqP49vJzfsNcT8F\n5aeaB2RjP50Mv4H2RHidnF6DHS0zF6eb8F+zGulxBis16MpAK/YtyOqxaNXgogaivfBQE4Ut5x/7\nV1fyoflpucfk3ZVDbQ8Tdqw4q4X6afvN3FoGtbC9LwNGVp6T9Uu/9Et4/OMfj9e85jWHlnAAgC9+\n8Ys477zzcPHFF2P//v147GMfCwDY2NjAk570JDz0oQ9N42Tiy56fWrGiP2DrjcYD8g93NrzmYCuO\n/wylH1NLUbh10U8Xh9uruDo6o3xNyR3lwaMQCoYBR/pS63RSlq4sTVpHw6Kl/VAAV4yKhTsD6Kwu\nc/+vlqzoV1jfX4JiENiF5boQZbOBxXQXvacyR7CKGqd4AVTMAHxlvl8H8D10gfvsMSPImiUrgOtu\n8wwEcMWfqXUZh4yQe95kWqDV+6YCcy3EfyysrSItuMo6o0zpqgVIK1DsuTKxlcEtwxBhPwzgASiV\nO56ZdqQsfD9+hmzBciCU5YWtDzMMrVhrGFrHtpK4W/CyYufVVR/fKfdv5TnrdHvgSmVMXjLpaUNb\nZq/DHnxe/cc8l1o5AMv5beWfr2u1d6cv1D3BYi5j+Kk1y1m3tEyA5XxlbbwhK0PWcccdh/e+971L\n/ieffDIuvvhiAMA97nEPfPzjH++OU8vFQZYeO7cCV83d2kD727DQcWyZ5a8Lt+iaCTxwucnvnJfo\nrHUuFrsZrmao95MvA/ADxp/LpAWZLp2ZToryCXBh48lLUdbuUmNKpIvjDtG0KvAEP/DLO+v7pwJ4\nk8QVeealfPjFnkUtiXFfXucz8rNUgFsA/l4y9l0ok9OcKS0z892I8guW6yUxa1g2ucVk+OyH0T1m\nVO2ks2On/HshKpMsTEvJOqkpi0yJsl82tFTrrN19tRJnX95Bwu1GqT/3xOIZxpyszBKkDUUtmLXl\nFTgv0YDWKf5s2YqtSrxaXg5eYI6duGeuCgxynN2311pRg4xaJ9wjrc6nFe7XsAxVnLeJOZdtLh6X\nnww0agAyFjYzHaLnnZs74VVAksvBlQng85jIypB1Rwh3ssDQalWDLGe9iXBcx7R+tqxZrs7zl3Bc\nj9WKxSCme9WHtWfFcBXPNfRmHHM+te+L491YvHTqos36z1dOW5amDLIYsFhP87SNx6IsGsp6fyJx\nuHYeaYp0uzlZbMli3frW+X05nun8Ou139J5RhsEg2Zphg4hrBfjZ+RbiOmTe84PdS5ln6stWfXeT\n4rOhQ403GzLMyLxG6hmMZZ2KlkWv/yriwCtTvj1w4jon96bAFdgBE4d9IMonrQFZWfgMsOI6bYy1\nOQprEvYGLP4QoOXvYGMsvLRklTr1dJR20Hp2LetVD2hpWfTmp3a+lUcHVWwlVYsWWxl64auW514Y\nc/tVxdWDcP8CvGUPcpy5xwDYNypkab7dc+E64kTPK6z1whWw/DzfBuA/YggUDF0w1wdghaxX3PpM\neZ7l1Oz5WNsW94MvB/Azkt6sr9Q8sNR0qOoutmbxkNzfoug9hisdZXD9BzDU/9yHhCXLjYbMAFw6\n9/sxii/gUr88j3yCwmb9Fg97WitPrTBVnDJVYlYg0nHY2q913P8LM8uWZjizYPVCl+Yry782vKxs\nahKVSo9rMhau3HBbZjHhdDliZ2uRg7IJgEcDeA/8V3Iqrn5smGNn4coAjN/OamXIx9vZNL4xQMLb\nWDB2aeiBqbHg4PLT0260jXwI5ZkyXCkMZBaqGjzUysLVbRi3kzHl5Np8TXcAw7aYAdZEwswSd289\nbciOgyxtV1EuDEogvxpsActQxSA/ZgNdr0OGClzOisV5ytbKCqhy53Qf+YoRBz3W0R03L8tZsbI2\n7qQGWTqKsEuOj0b5C8SmnM+sSSGaL54Swi/r3A9ivv+7+TWPo/xFHJlVGBLWWbOmQFkbixPmwANm\nr35ucxYGTcguDIcM3WT7bKn/zKrlKpLmbaxFq5ZPVx5ZWbVkDFxl/mNgK5vs7SoSV6Z4+8jCR7iH\nA3giyufp+ilsSDy/iDMax0E6dxDDOpRtCloxDt+SrOH2dt494tqHq0+vQh2uWpuD5RoIOneWfpef\nnryqf+SJgcoBVmbd6oWonmeq/jD7mmQg1aMzgfJroQMYlg3MsT7j7YBWh+woyApIAIbl4twsXG8m\n5ljPc5heq1Y8R375dIClc7B4r8fOzcIwpXu2Yqm1y/WH70KxpG6gr5/M0jZGPzF8Rb+wex7vGoAP\nYrGEjcIW67hIi/b10WfwMgy6qKi2h0+j/Ntwr8TLU2RcXwe5rzLJUsHrAwC5+cbs1geRQY7rFHVS\nffYfQ15Wgi0dDrZ6wGsscNUqlzs/pvH0dtKZ9FRo9waRTSavgRM/R2cV07DrAL4JZb0QrtwRD3/B\nwWtZOVNybWO4Yne8jUS6xkjtuYztyBxo8DFvn4UHqx7rloOEDDzGgIRKBlw924NN+jPYGrtxHscA\nxqptcEydynTDbVjM2+EwDqQgfq69t2CrU3YUZLFFSvPQyhNbuvjYgZXW1TGg9TcAnoTFs8smtvOz\n3aTzasWK56h5DXjivLM/P+ta387bVwGcgOFfMSYYWrO0fsIca1o5bdnLPsNV9Of7sTyPd0vidOmI\ndMYLOvctAWwKeSy/i/JbnDMlvpoVTcuU2WOihe2gRCNxlctBS82KpZCkYBVut3Y985QAACAASURB\nVF5Ha45WNk8ns2yN3ZD4Qc4jOeckznHFmdF+rPTAFi9boITPn6uy6LNk+MneKtYA/BTKVyPR6Bmo\neFPgYtBqWbCiQbnnXvtip1Z2WVnWzuubljZMrhvu5WSC8jsdp5RWhQ5NK/v1SlbPtQ1Azqk7Opis\n3DL3qhvMHp3+25GaLtAwN2DR6fZYqDgs6HwNTmHcDfn/DGQ5CV3k3HHcgjCIe4KFzoq2HM8k9CQD\nGCiOTEe5IUJO85rsM7Bq9YnPAnARhoCl+olfVjX/Lm013Rh9RtxHdflzUD60+zbUXyZDtN9xL/Fq\nFICJa4LyH8X9AP4DFs8uu7/q7yV+chYmB10aScvt4tBhQp2X5f5jmEFWNk/L5WPsMOJ2wMvt9bgm\nDFV6DPQpE6dQuXKzFSv7GXNmnQKGz1HHuVnpa/l/CMCDsAxWnJYaaNUsV/q8+VzE2/sMMhkDWjVw\n6Gmob0Kp93rNGPCAOc7yNUay+l178eDtkyhDY9EpsOVKIaHXoqX5qeU/AzA9du5e0bpWezmbAPg9\nLIYjGLQYnjj8doHz/8+QxR27uvVY9z19wa8CeBHyIcLMugXyc3uX33iW0ZamGMKWtiOdl8X9336U\nHxzfjfwz2MraepZGYFn3OSDSF+ZfQQG/DHJqoMOjGm7UJbNKRRxXAbgQwOPF3+kdvjenYQmA1NKk\ngDKZuzNAaQEWx6+T13XhLoYrhiq3btaa2ffmxxXOWLgCHW8HtBxcqTs71jgy0HLDhNnin5t0HaeF\n3xBalqzI8xbKYrPHArhF7tEaEtR5WrwpbLljtmS1lEMNmlA5lwFULZxr8CFOESgobwe0WuDF0nqR\naMGW2zKo4nyO2TIYy/LvZEyZOFmlzXP74LJRuNK8tsJlQ4Yh34iQFX1P5J2lJz8KV+Gn1isOO6Yf\nYHek1Q0Nuj1fH7qKLT367NR6Ff6xtaxXDFtxHMNyu0347cBVDYgy0Ap9fyW5a/oyxIEWz6dysMZp\njTzF9VsA3gvgHAz7w+zeWl5VEOqxBtWgSgstwMoBFk9m1+X7WwuSrjIny20OuHoJvtYJ6XFNIhw3\nLN7DHGdxgMJknXsAiq7q7kCLKyFDFq89opVvhiEo8b16AMt9VdgzB8uBVo8lq9XJ9sJWC6oymIjz\nZ2D4jFe1ZGUday9E9L5IaNhWh/QULCtNzqfC19g8c36z/DsQGyuuo8nqWE1HvIvS4sApG0ZcZePr\nO2RHQRbDkZZ9L2SpWwGLQWxW8a/1B19GGe6/MxbPbZPCMHCBrmPgYtFhRAcxmMfLVqxwsz/7ub77\nhwHE/y3HGCJqogBTgyueRxXbfwLwx+gHLI47+gpnycogS/N6C4CLUeZpaRvke2saJhlUOWtQZgly\nkObgqnYPBiWFqV64csOPLg0tyFLgWgWwanA1tjLWzjFscZpqyoYbn8IP/96GoYvpP+6lkLUbQyBj\ngNOJ9R9HsWjVJq8rdDl3y5LFViy1ZPVK1hn3gpUCgrNEOdAA6oqsBha1fDj/XskAodUW3OagqXdY\nsAZWvbClskoHreLqlXt2rvwYqCbJca+lKisPdX+jQ5Z2cGrZ4nBT2qu/C8MQVQMsrq/6rEM/ume4\nKeE35Zh1u+Yl28+weFj6nB1gsWVH+8K3oqz1pfNbXb8IyUsP/GpYZYnoe+Ll+nMoX/2dieFyQVqX\nXXza/0Ses7bg4oh0/RXKHC3Om7t2ApTJ7gpANWhRS1QGXrpfN3uOc5ccO+CqWa1WGSJkt4JVjdR7\nIYv3eozE38FVNDRtcBzWNW5NE1/HCnoLw7eFg1j+n2BsDAERN3+w4CxTbN3S8/uwvDAcN4Se+Vfq\nH8dZffz+eVq1nHult2N3oFWDLt2+AOCfsVizplb3xgAI56MlrZcF9W+1Dd5eIXnvzYODsFa+xsJW\nTcbUGdf+OA4tpzdi2BHW4MmVy5jwI8tgx0EWw2evOMuH1gvdO/Bi2GIQdgD2TJT5PAxRzprFcMWi\n0xtqws9ULVUKWNz2phI2tnhxDsuS9o09lqweuOL42IrFoxeh138SwG8A+Pfz9IYlnOPWe2SQ5fSO\nS6P2IWsov4r7ZgAnyX2XrnfWJWdZag3BZdYqBTIFoWy4sMdaVQOrzHJVs2K14KpG7TDHWcHXxAHR\nxOzddUrxrUapHTwPGd6O8in57VgAFw/vsZIJMN4t4XTyvKvgD8BihV19w8hAy/k5q5Vas8IveyZZ\nWanCdX5jOkIHuQ60FJydUgP8894ORGTi4L1W5zndrXSOgS0kxz0gUXMfDuhqtXtXXhyGYcm53RDi\nvxFo7SjICiAYI6yz2K9mxWKoyqxX6u+2NSw/Q7VmIbnW5SPbu/qsL3MOphiyNsn9SwD+CxbrEro+\nM9tcejPg0nQEaGUfPr0AwF9K3vheES8DFr+EqxUrq0uaNuWYr6D0eaeZvE2AhRUrs2C1huLccFzP\nVoOlLA3u/s4q5iCvBldaiA6oWhWpBVdjQSskAyonWQdX6wwzyAoL1gGU9axuwxC0opJGnGFtjAVk\nM7hSwNqU+HrgKqxhbLGKZ62g5QBLPzuuAZZ7w+Xjno7eWbAyuNJz34XFmjG9W0gGMr0daw8ksLuV\nJteeXobc5N+C0wy6Wh1QJtnz3Y706AQuj9+AhygHVdnQ4Spw9Y0IWVNx1/RtTbgMGLYy0Iq+Qa1P\nre2jAO6HRYfPcBXHQL2z1zS38hPQFFYrbkfZi53C1hqKJe4VWAYt11dyOjIA0rJxEMP6WgEr0vYK\nAOfLPVz8nMbIo1rzMvjjTfki2GQDwOcBfIuJYwAju7AMNrySegt2esFKE1iDuhpYtaxWzopVI3FH\n5hlooXHMez2u+YXMOsKohCIAFhUp4mJl4SwhUdECemK48FaUiX63YgFbt2MBPVFGUVf2ws+94vlZ\nDFNbAJ6LMratjd2Bls6/qlmyMsCK/AN95aud7xjAqsFVTdmFu2WWb8FVzS+Tnrpau28tfez+Zfhh\nUwedveUMCuf2kDCHC6LiuKft18JxeTBcufq0Klih4t+QHQVZa3QcZReiHW4mClbsp6A1Mf4Rnjvu\nDMBuwQISQP5b4tbzrXamdXzL7LM6xFYtp3+5n4yvDHXIMI5h4s/qmeoDHT2Ke7MO14+htlB+z/ZM\nLNdtFi5XhqyantFrOX08OsfcsgvA9fP9sXF9kFlmUeqdYJ5Zt1axXCnocYamctyCK6ViJWbXeWWQ\nBfhKX4Mrp1x7RcPOjF/tWs1D7a2L7xGN6/EATsOQ8CcAvjQ/dzudi+d2JIZzr7JhsFqDd5asTAH0\nbBlgOcVVE218vR1/ZsVSP1dOb4SvkzVwyeomKn6uDLL63YKqzN8p5X+ulFXNHxg+jzHw0AMVveDV\nqjNZeamb/T+OUlcVoFrQ1QNRWbmMAM0dBVnRsStggdy1egAsl0MLujROhS83bBj692UAHkZ+as3S\nCfBZ+63lwflruhWsWO8wWK1RuLcDeAOG/Sf3nTMs5kU5eFHJdEXEqS/TbFnTUY+fAvB/YWgRh4k/\n4o48tiCL08h5zSCLYev2+X5Ssyi5/wJmlic93s6QoLNk1axTNWtVKKtVhga5Adc6k549EvfhEFa6\noYjd/eKtL8JpeUTYp2MxHBe/veH5V0cDuARlWPDBAP5lHvdeDCfFu+EvB1SxnQjgf2C5kWZA1QIt\n/RKG68f7qHxq0KGSdVBjOrjMRO8UHtC2XmUQVOvc9fwY/wxQx26bKIvR8r/HaqA1BixUDidYOXHl\n4cLUwitAOYuItnNXt1oQBiyXV6tsSHYcZPW0XQUwIIcsPmZwCj8FKIYo56fQtY4FFHJ4tmbxHhKu\nJb26R/dswGB9xJBzD5QFORWu4iV7CwvQqbVjzadCkMJQ3D978b4RZdmTH8FyPdb7RNy1l37INcAy\nMzjGcdxyqCPaKxcpYNUsWi3gap13Q5RqxeIOMrNS1TYlUd0rWLE/sFzJe0BLj2t+LYlG6uLiSsFK\ngRsux8NvMFwZTgVwX+TrZDForaGYjt+Fsv7LmVgAllPYLfjYAvCjAF6PYcXPQMSBln5JyPVDocuV\np4OWmowBAG3ImVvz+RzM34YwrKO9sNXq/Fv5dPHqvnVvl+54Bk7htwCqB7BcB1qTMYDVWz9cudd0\nCgA8SvwdNKlfTxigXo58viE7CrJClwF5XczE6SiFKQYtYAhNurFlpAZfL0GZSK7hwoq1IfsJhroX\nZs/5cc+xBVkOrEK3sjXpqwCuAHBPLPoStnbtonjdPEsnGWTxdA/3cq068+0o/1m8v9xL4w9wi3hq\nbYEBK/bKHTXIOiS3o8yOPwbAXZADFu/XsAxeLQtVDaScf9xHIclZp1oWqwystmslqHVihwuw4jqt\nOM5dq9R8DTe6TZSy/l4sgComtx/AcBmHqJTx/PeiDBH+C4DT5F49Co7TcVDS3gIs/VKkZtFyYQ4X\nVLXOu/xkCo/P/zHG11Uk+enteCIfTnphqrVFPk7CQimvskH2DiLU7TrWMYDF17ny7NEZMH4MVVkn\n3lO/GAhWKccO2XGQFeLqdbQlFpdnPeZnADrmFzQHUBMK487F+fgpMT93zkO4N8U/3DVxzz97gWHd\no6DFsBV9NFDWy/oMhkYZvmY9uZ+KKxt+EWYrlr5Qazox3/8hgAcm9wOGc7K4vWTGAU4nsAxYDrLi\neMIRhNwI4OsA7o7Sebb+Dehga038W2ClYRy4OVjqcSsdQ8IA9Y4Lidvt9di5M79VJaAp4lSlkL0p\nTejaCPcALCqwTnqPie8x4T0aQszBil8fPRrAOzC0jikcRNogx7N53L2AtYXlhucsWtnQ4UsxtBDV\npNURj4WtDLi25PxHMQ6ugHrdXVU07z3379lqyn8sVLm0Zs+spvid9LTjVpgadMX+k6hbpVzbbQFl\nDTTduQ7ZUZAVepxBxQk/C5fPrF4pXOnm/FXv6nDhewD8OobPk0EhYKPV3l2eHFC29BDrnwyYQldO\nUebksoVrS44z0NL0OT3F+o5hqwZYqkeeDeC/yz35XhFX3ENfbFRc+hi03PzzqWZQI7xqvh0B4N/B\nQ1Zr5fUaYGVbNu9LC762z/xWASt3nJVdj9LtOVeTUK4urpmcZze/ccWeldO9sFyBw5p1G4CbUAD8\nRhTYOjC/djdKHYklG542j+vFGFa4eIZZnYvKrZasFnApYGVWLgUsff4wbk6bk14wyJRaDbZCgb0T\nQ+U2BriyOtY675S0y3PE0btpui+tlNFY0MrOu/ZyuKSmA9Qv60zUD1gGqppVa6zVCxU30F1WOxay\nWFxbdpLVKT1md+158DNTuGL/dfEPqIrOH1i2bmXpdfnpTT/Pn8oAicEioOK1KHN31dLV23ZZtL6H\nvtaXZx7CzF5O4x4vQvlyOSQsgAxY7nqnQ2LPOszNB+etChAzOr4dZYLwDOXz+n1YBqzW5Pia1asG\nWOFuWZ563FpIkDBjoaoGV5nfKmFa180a/rznSqng4RQLg9YtKBPSvzrf3zQ/vxvF4rkPxaK1F8C3\noYAZ/8hb50hpWmM7aPzVusNwpaCV/ctwimVrVusZZpJ1WDXFm1mtsuFC7kB7gSqrt+5Y890DXE45\n9gCXa49TlPl3PUoZHeeztGed5XbE6Ul3Xss7c/P28yj113XcrY69F7Rc3QVGlc+Ogqx4gWMrVq09\nZ/l05dDT1tVqpbC1RXt+1g8H8G5JO4cB8i8NMz1Qy1NNNzmdBIo7AJAtS7+OsjaVDivqxtMBIHHz\nPVRfuPlYrO8zQIr4b0P5OOshVB4MsTzHbQKfRr5O08fAqRasCWfQvQVknfWl8/2ZAL4dwN3QD1tj\nwYr9e+dMje2MejqlWtlkHdZ2ZGwcvcpkhsWzjkoZlffOSZxR8TZQKuy/opiJv4QCW7ejzOE7BsCd\nUL443DffYh5XBlou7QFZPaCicMVvOPoWpFasTQCvQV4HMnEdv55z6e6BMJfHh6K/btfqtMtbTz2r\ndUa1zroGWtyWxwwTjoWvTFmOAa1amblztbLP3Oq/almMKScke72mIjsSslhqw4Ysmn/np26GJn1J\n5fNZ2ACpm1D06F1QX75BrVmu7tSeW089mWH4ULXtqhUrdOr/gmLRYh3s4GeXSUt2L9bfseevCtWS\nVWsTl6OU7/ck91TLY9YGuMwdZGkZNQGExVXCKwD80zyBp6NYuE7A6sCVDTuqJUvT3pOXLH+1fB+O\nTupwAFePZPdx/q6hxZsGsGzK5sl7GyhDhY9GsWRdA+BXUZZcOAHAcSgLrx0N4CiUXx28CIvJ8gpZ\nWuaRHrZkubTWhgp1kmQNuGbI60hWfi5NmQLL3rCyfDjLliq5Xqiq1fNVpBdanJLKgOt/hy+brDxr\naapJgEuW5p7rM3dWrjW9kl0/AfBqeKvIqoDVExYYVx5zWRmyLrzwQjzvec/DZz/7WVx++eW4z33u\nY8O9+93vxrOf/Wxsbm7i6U9/On7xF38xjVMnvo+BYydZWXFbBJaHBBWwZhJmS+I4iPLyuk7+rl3r\nxHc9n+XLtZ9MH0UYbacOKkLPrqGMcunE9wC2Wj3L9G0GdmEp26RjTnt2rwnKD5y/V+6tm4tDJdIF\nk77BtBh9mNrhZZXQVbw1lHlbryb3UShmxAy0HFC1lopwX4+0OpYx5zTfvUB1OECq9kBbkqW5J098\nfy7fNTm3iTIMeCIKTF+HYqE6HeWv7A/D4stDniS/juFPphW0nDIE/HChAxQ3VMhvPLVhwg0sJpSv\nAljOr7UpRNXOb6L8EPoGDOdt9G7AcvmO7WictJR16xzrm1cm4XoBopUGJH6rSK28evVJ73Nz9UKH\nnGqdelY+SPZZ2IasDFlnnXUWLrroIpx//vlpmM3NTTzrWc/Ce9/7Xpxyyim43/3uh0c96lE488wz\nbXi2jPfocVdPsr0rV4Us3nS4UKFFYetHUb7Sm2AZwvQ6Bwact5n49+gqvl7rok7PCbhivbqG8suv\nT2AIWmzV4rrK6Yr08j0U6LjMGLQYsDheB1kA8DsAflryynlvgZoro4CrwTNylMpujZDFKVE+ju0m\nlHkFoEL4fRT46gEtt+8FoB5w6u14DgdA1UQfYE1cmFa+58fXfwW464nDoNr2dmNYZ3/254DnPAc4\n8S7AJMDonii/CrgSwAdQAOBuKBar38Ci0cUXiUcBOB5lLhfDVsuStYGhKIQoaPEwIVuzNmSvx4dW\n4k3KUGU7Hb9TNs56xduTsQxY2ZtuL1zV8pdJDVxaYFUrp6/Dz8dycel9XbpcOg6nZNCExl7DAv55\nTQC8DsMyWWWuVU99BJbLcmR5rQxZZ5xxRjPMZZddhtNPPx2nnXYaAOCJT3wi3v72t6eQFS+Gq7xI\nuDJZM+fc/WqQ5fYKUQHI+1GWMtGhQiTu2M/M+VY+a+1D78lrdan+1Pmvn0SBLR0yVP0H2tdeOEKP\nT7E8VOju4eq15u21KD+4VqNNTzxcNgqCfLxEiE6Bc4R67JRcT6N+pvH7byhzdx6IfIgx3L0NpgUj\nvWEOhxxOJd8LlvPjv/socL/vW+ZnvSQexT463gLwypcCv/vSchzMc+lfAw+6N4DvQ7FsfR7Fgvkt\nKMOIe+YBN7GwasXipQFYbk6W1ouwZGUduBsudPOx2KytoPXPWG7UWq490qr3busBLlbGNUVUS//Y\nfKlycVBTa//ZsdvuL+nrAYVaOmptraV8x4jrzHo6Q3e9hv8Etg9SSM47/1Y8DblD52Rde+21+KZv\n+qZD7lNPPRUf+chH0vChT9w8rFXadk/5OQsi+ylcqVWG2/f7ATwJeZvO9ADomNPKAJa1axfPQdlz\nB6KgpaMGT0apw5ml3knWVlh/T6j83JSKsff5EwBPkXPuZSaLR8uFIcsCVWaGrMFWpmhj36tofyUJ\nE37fBuDHKJ2no1TEwyW1RterkF248MvglO8/RvFnYBX7CfCMZwB/8OqhFVMvjeTwrbdQplJxn8+j\nfHsBPPnBxXh1JwBveBzw4A9hMRl+A8ViFQ0hrFkbGMJPWLK0nrF8EMuTJFtAwm89LSvWBMDbsFzP\nay8WmbJ1acwav7PEbZnzWwD+H/S10azTbkD4aMmgptbJ8zFvt6F8OMF54xe8Hl2i93HukLF5zso3\nC+PukbTP6jP7HSzqQZTNTPxq5YrkOAMGF36EVCHrnHPOwf79+5f8X/jCF+KRj3xkM/LJZNxT+wss\n8nIPlDUeWzG48ohjLQtXlvoFKIOVDu060GK/56NMIHcGkIANoF7fZsZf8+auYTfvWf84wHLbe1C+\n5GMdmEGXq3eRZ16/iq1YOkzIx4B/dtrWpgDeDOAJWAAWX5vpkaxseL/0gB2JZcqjB0h6FG+Pwoz9\nFwD89twd1q2fRXuuV/YlY7Zoqs79au1Pm+9/AIU+tBwcjDqgyhpFJo2OczItj3BdTukjdH3/ESij\ne9zXx1qkE5R57XdHGS08B8CBty5+Z7jvRmCyhQJZMywsWTejANgRqC+doA0yI0IHIwpX0SiDEqcS\nJmDwZlNAWsZOarCRbQ6mXF54e6ekzzXoFgz0QFV23ikZV391n5UH+92GMq+vNtes9949ae+Fh1p5\n9ZZla8vCHUAZbuGOO5tr1drQ4Q8MyuXSK4FL2brbIVXIuuSSS/piSeSUU07B1Vdffch99dVX49RT\nT03DPxLL8zRDxujYHriqQVW412iv59zLRSjubHQpqzswxy4/Gdg4IIn7OmtW6FD+upCtWS9C+SI6\n/HuAKttCd0efwMOE/IwVspy4+N+BMh8upJZWjQdoAJZ+4dU7dLhqB6TulnJ2cfUs/VBbJsJtugR+\na4tyunbuvhDDxrGOMmT2iHm6HVhtV8wzOekk4MvXLc8nb/VZ3N9/FWXUDxhC1u0o8V6L8heFW1FA\n66/nYe8N4KaDhaOOuQ1YizW1DqB4RuMIyHIJ0uevAOYSnFmy1uh4gqH1KrbbsDB1A8sF1QKPrDNT\ntwKVS392fA3qD7TWYWfABXNNlkf164HJ3u1kLP+HsZUHLWeXrlY+atLbEbu0ZWXp9GftufWWXy98\nhWQ6FYuwZ58OnP3tOKTrnv+uejEAh2m4cDbzT+q+970vrrzySlx11VU4+eST8eY3vxlvfOMb03iy\nrwv1OanfoXQYd0+9Z5gChmDBlirn5r53C8AzUKZfZH1ypqdcvmr1gaUVtzJCuCMfbhX2nwHwMgzr\napQPW41479LC93BDhapfNb4sn5ynv0CxvLlJ+tp/V3UuF5Jbz0ELEeTPkfKNWlJr5GPPAUMY0t/1\n1CxTClW8An3PnsvLQZeW5waKFSLCnDbfdmcFleSXJeswJzhkvaoZJGuQFec2UIYLo15Fu7kdhZXW\nAVyEYlg8Zu53IkpxfhzAN8/j2bsB7NoApgEy0Tg2UE9IbJ82ee4FLLaWcYPSNbJ+H0Mrit6vJq6T\nH9M5uvQraL0I+YN0bdKlf5W8ubz2wkvWGYVf5O0d6LOi1zqXsUDVyn92vgdcnZ5sdYQu3P0x/Eqp\nBU89fj3hIce1DllkZci66KKL8NM//dP4yle+gkc84hG4973vjT//8z/HF7/4RZx33nm4+OKLsb6+\njgsuuAAPe9jDsLm5iac97WnppHdg0W+12kVIVoey/OsX17zp83IQNcNQB7nhxHdj2ZrFearpAG4b\n7rlrHmOf6Q3uz5wO1flYPILwKQrH0Ankc+Z0UyuW6k0FrBpkaXmp/nkfSvvbK/fLymcpLgWolkXL\nKTwtCL1hTVoKMYMqddeG9mqAxcAUgNWCKrdF5XeWrQxew+r1pfn5b0ZZFG0vlh+ge6Aq0qCm05yZ\n4zECy4+N6zu3zc+g/LoQdH4DxSh1DMpHoz85d38Lyp9z7oUydS6Wwto1v+9ss7SR3dmbSwYe/DsJ\nDjfDckPj8Nz4dWXiKZZN31nn2aOUV4UqVQwZaF2O9rIN6HBrfrYDW7of06HreadQnd7JrOkTDJ9H\nb/p7y8IBlZ5z5bzKFtcerqFBJP61sGPKkmRlyHrMYx6DxzzmMUv+J598Mi6++OJD7nPPPRfnnntu\nV5wBqA484nhTLyJZN+ezMtdhMHUHPK2RWyHLbRMAL8HiNzDRBvjF0b2MsEJ38NEDIHFc0zOaXrZS\n6XI6D8VwnlxsXGlq9S7umVmxxuYxA7nYPoHyAd6U4uDOkd1L9cuBgeuZuZJqT11T6poZJ1lhtgCM\n483gSIf83DBgj7WqBVqu3BxwZbA1RYGt6+ZhTgRwCuW7twOcABsbwN3vnt/SPUaNnvv0OPdVlLVE\npxQu2sxB2tZR5mh9E8pC8XuwXDe/Mk/XkQCO2ALWtXE4uNoC8DUs3hprcMUWLD6uddobKAvo9sCW\nFpamx0FXD1S58w4aV+moe8RVBJdf12Fn+x64iu0nMHxbd2CVWbWc/yqSwVYrzhZ4abje5/c+jIer\nGljxnqWlb0fC1h36deFYCUiqPb9W/mrwqf6qo6ZyzIDVgiyu938A4LlYwFVrwjtDngOPDEBcn6P3\n0LRp37cp+y06nqGAy70q6Yg0OJhTKxa/TLu8av6yfGkHyfn5KID70HmFKxffpGa9csCQdVC9oOUq\nuPMb2ZgBeABS0Oq1UPG5aRIms145+NLydJYuDXcDyqTwkzD8pU2rogDYvXv5UU4wvGX26Pg2UU/5\nmj8C8J9RGHCK5cc3RYGqo1GMcndBmTC/B4tR2y+gzC3nrxV3Adi1Cay5MfzY/oVumCmLGpRo3d3A\ncl3+JJbr8BhxcNWzZXCpeTpP0tcCD6ek9IFvB0hc3jPQckqP3b8MXzlbW2bR2m7earqrp4wdXPUC\nFoeJj3taIAXk5TsGxnrcHbKjIGsq7qy+OOEONUSHB8M9JT+GK4Ushi1VtG4Lq9DNKHASv4BR0OHl\nbWpgtSXhMhBhkNA250YEGLAi3WzJivxuoSxI/nYsW/q44myaY20fW7TP8u3yFlLTKdpPfwZlmOao\npIwGcUYEY6wyNUtAD2i1gKvmXxOFl5r1ScEpAyn1n4qfUkzPMOEYq1Zs9cj7/wAAIABJREFUX0EB\nrl0ow4mN8tmzx7NyNmzIjxC057rKbWYK4I0AHoxi8Y2iCIA6AgWoArTuhDKUGP+GvnQe/s5UtAp3\naxvARH97symB+JgbWewVrtiSVdu+jqECrXXSWefTA1MZYNWsWJ9DGYt1tDymc3f7HnEdusu7lkHm\n7zp5B41jATI7n0mrDLKy1DCu7MekLQtzBZY7orHQBLNHp3/mbsiOgqysTbu9GzZky1S2Z9haI/dM\nrlfw4n324s1zs34A5QsjBp2JxBHXsBVrKm5OP4ur71pHo4wU8hgI45g7EdVrfwLgP0naovycxL1D\nz2c6k6G2Blmu7WkHqR3pfpSO7YR5nCnXOBBQaGj1zqr8MtDqVfCrKkJNc4+FKbNKZfuWtcod18pQ\ny7+nzK9FoZVjfTE85znAwdt9VOGncJ49pqiPUXc3MeTQ96Po/heigFXA1T4sVtDYgzK9LLaXo1jA\njsfy8CLD1gzAdAZMD85hawsFLqLxRCAFlYCsTdlnDUkz/+GkQIB6/VPw6N2ccnBwFduXTfqiPDR/\nmXJs5aWWL81jFqYFn3zMZfGHWJ5r5t4GON81gGnBi5OajqrBk4unVpcywNJrfxPj4aoFXRjhDzk/\nQnYcZLFOCOltCy4+tweGwMV7PZ6KX+uFm7f4+nYm1zKQMVA5SEfFL6T1IsC6NtKgX3IzaCkUvRNl\nbUsuCy5HFoU7fZHeouNWvjReB1mse7RTvQ1FH58AX4cmrmNfx3KPnHX4UWEz2Bqj6HuVWc1dA8XM\n2tQDZdl1tfiz8svKtMeaxdcdRLFs7UMhG5KXvrT+GMeAVgj3gZsobXsD5WPIGwA8FcBjAPziPElH\nU9y75uF+G2Xk80SKM+KLv+lEuqOdHAK9OWAdStdMIgFdsGmOsyFDpzSuNedZWqC1ClzVAGsm+1dj\n2PZqedK8OVkFtpx/L0jV/B+Cer5cJa29JcD4q2R6pQZANfeqWy2fV2Bc3QrJ3NlzgIRvxdMhOxKy\ngKGOAPnVJr7XRMtWoSrCxH4qYRwguT6A4en/BPBzyTUMV3qvVr3JpFZvFa4CeLboeIZlS1YcPw9l\n6FDLU8uO08K6vwVYWn85Ht67FzntMLkjBcoc4TuRGxDA6oGIGgg4yBoDXBA/l/GeYwcsPcCzHfcY\nmMpAdcybi263o1SsI0sR3Od72zyZJcc9xhCuozxVihdovwTAu7BYvP0YFGvVCfPtrihzs+LjTY1b\n2x2fC903w9zI4TqIaGDAcNxelWits2ydV+nt5MbClp6L7T3IH1TWrlRcuLGiCi9TYFln7oZLv47y\nVYXTL70wUtMvaISrPWeWHthy99TwrXTw9n6Uij8GtHogqvYc+dpamIbseMgCuQHfAbO48gvF5Pxj\nHyClgOXAKKBJ9xEm5NcBPCeJYwxc1Z5pqy0F6DDkuY+NeM4Z64DYX43yf9tfozLQdLBe5+fnAIt1\nDBr51DaoLKPlq9s6ilUr1jE6tFxDazmCCNMCBU3IqsqwpZTYne01fTWr0RjrU0/4XvcYuGqFi/Mb\nwA1fBz75sZwLs9Ul1JqV9d8ZGzB0cT2OuVh3nu+PwvwrQgyHBrO+LeKJc19HsYhtxfWRiF6p1ZvY\nfwC+fgLLiawpphpQZfueYcN3YnvgsSpUuXxnQKn5V3fmdwvK+h/OSreK/mgB1xhx19YgrRa+B6z4\neT4EfSCFxvmsw6nFoTISsIAdCFkhClW1tu6EQSD2U4mToYr3DqYYxBTCFDqifmyirEZ+EcWl18/g\ngU3hC2bPEvVxg9wBVJEWBh0FLLVqgfzi+IsoHx2dlaSDn9VE/MNvRu5afY94NH+uDdYMN2rVArDc\nw7ov7VwktY6/F7TC7TJVU1Ktc5EvTsuaHI8FrxYojYGonnttx6q1Bhx/l1IM2fPvsWpxkblHFVLT\n31EnY9jwGJTpY0ejzMnagwJLMUne9akQ9xewGBUNnRGgNeXJm64BtTrX8L8Fi38muvMu8+rXs7Gi\n0X1texXqQIXEL8uznnfhe5RvL0y587w9GPV1v1S3jIUuGL+snMZc29JnPenMzkUHm8ETkD+bLGzt\n2lZcK8iOhKyAA2ABCGMhi0XLbS3x5/AKXNpfhF5wbYKXKrgZXf3DEtxFOlZ5rpEOnaoRkDWDByw3\nBWIm7lcDuGAer0Ir3wsURueXzMi/J5+uPTq+cX2/8tMEWEym6e2Be6xZLkG6B7m3oySz4xr0ccEE\nBTgI0vOrQFPt+A7aLnwrDklMJD8eeT1ofSCpxQcqViR7rpu7UKxWR823o+f7fSiQdQRKFeRlyrJH\n9w9Y/HknhHXX+gyYZouTDt4uSBx4fYwS0IIUvU8PWIXSZIXiFI6aCENZHIBvL+4hwPhl57UcesR1\nHj0glW1/hmEFyvTKKhvMsUpWPj3SU+Zj0x/hb0D5XFyHCoF2mbLUYMt1PhMTTuPrlB0HWQEpIa5e\naB1o1QmFq/BTuInOn91qUYotCk7rjvatn0QfZDnrVbhR2Uf+3aYT3llfhVt12kyO3fY2lEm+h6BF\n0sLHDFhx77iHvqRkUmuHGWSpMYo7SwDlrT0+BRtrzcqAxPWQTsmMUTiuAJAcO7Bz6cosXL0gdjjc\nveBV63To/OMfjyX5KgrY8DIJtfVVe2CrVcwRF39VuE+2I7GwZrFFy/2h6PNYZgsW1hVrM5SvEFsd\ngzt3fXITPm5ZAThMD2z1WLL4mvgX5lioqElPZ9lSwr2de61cfg19eavlGZ1u9c/KaVXYcnpL3b3b\nPbHaXKzsmdTqsHtONekErR0JWcAQFABfT1hc3Y69wpUDrGwf4DWVeCINbh7SFItlGzZRviaKP4Y4\nmOL7ZZDXeiFlN29bZq96zlmwMsgCyhfej8OwjF26amnIAEvjqrVP7fxqxhdbfgdQOpeT0P/bmLGg\n4IiwBlpBgmOgK/xbFFADFgdV24WyVUCsdb3Jw0/+FA6Jtoeb5ttdUCafuwXus8c+RfuRc7iIO74m\nPAILoOIlHMKPhw156DD2V6H8/3gPFj90j/vxtICQGRagZSfGc0A9/qIpvJpkoKH3zN6oFLpa2/OR\ntxnXPkDHDkZ689eTbw2/CgSoDlgVtnrgq9WZbke2A1Qu31k9HgNCPbDF/lk8tesqsqMgi1d8X3WI\nkPMfionPtSbAx16Bh9OQ1Y3Y89ynAJkPYfFvSwa3qdxH4aqWTmBhjXJQ6sCGl2uYkVt1XgZYcfxc\nlM/V9yTpYnHp2DLXZbDG+XHtUft57SDXXIQsX0T59OvOqPe6mTWrBSw9oLWqYu0pnAy0FFgUpMa6\na6BUg7haelrlNAXe/JZFMaiE31dR1jP9diyMl61/YPdu6xQfA1bsA6iONMcRbheGsPV+FDjci+GX\njPzLwYwbpgCmWyigFdCeNbIZyqJyWQE6yWCqBVfuTW9C5xS6wv0vWK7jYyEjpAYfWT6z46zjGLu9\nAHn9XjW/Nf/W8XaEO8tMP9U2zv/bUO+EesrdpS+Drdoz3obsKMiKznAie/VjmHDn4y3P6RPA6x0G\nGwYcdw8FmXBvkZv7i00AT0CZvOr6n9AnCnXZ3lll9FdemhbWaTpkp/oNaIMWAPwWytIO6q/tKyBw\nS9y9LweqKxRqW0aRCeArU9x8grKg1pdRZvXzD5LHQhYDiIJWba8ZY3ePYuX4srgy4GuBjgOrrKA1\nzz3WMS3HVppou/VW4Gtf8zrDyZUoj/zfY2F54m0tcWf7sFzFPqApfp8ToMULlbI7zkfYNQCvRRnm\ndIClv7/SfollMkOZqwUMYUe3W5AX4FigcGA1Tfz5nCoIhq03YlFfavV/kHna98BWJj2g5ZRjLwTM\nUNb94P8UavvcDmwh8f+3gK3QrZoGB1Ru+wkMhwohx+zu3fQ6dutxth8p3xCQ5aBKhTvtNdk7CSuX\nQpUrTwdXsefN/cGC3b8N4Gcx7Cf4/upuDRVy+riMNC08h9TpsJkcz+gYWK6jXDbvQ1ndPvzjfiEc\nT9zbxa/xRnjda/vM+nLmoWoPzOdmAD493z8AfUs8KCDUrDUObpyyabkZnlqKthZXlq4RkGPDOmBq\nDTnW7lHpcL773r6eOIlHPAHwt/Pjh2BoQerdGKwCkBio9sg5BrAjMJyPFfubALwBBbC0jXIbZtDi\nlyetyohzm8Aka3DXIy8wUDhuvD0AkUHVBEO4crDFwxlu9fmsrjs3zPFYyTrnln8GB1xOj8P2YKq3\nbELUr+dYRRV1DT6cUm/ptth669pYqaV/RZCqyY6DLIUF3qNyPlZLziSexxq5a/uIV+/Nm/sRfNQZ\nN2T4KQz7DIYrBT0FrBpMu/LhfQZYTlkDfVaskI+g/D7oYXStimsj3IayfHHeXBvs6ZuXIuiVDwE4\nDuVv07Vfy0zNPrPWZIDlYKsGYDD+WkitQsvukcFWdtzj7t2ydCX3/8LVwJVX+iyD3CxaF/8Kpc5+\nHxZzbBm4dpl9HDMkKWAdaa5R6Ir9BOUFbBOL/206ZnEvQXHMjzjaYFSViHASJv64+CAWjbElPZ2d\nJshZqhiuFLTccOLlkjkHEHqcSXaup+NW/x7gdH4Mn1ejQK6zEmft0eW9ltcMuGr6sFdPZrCSlZ/e\no6aXnon6c+mFr9azvQOgSmVHQVbMyQKGoJItXgwMrVbRcTvR59OyEmk96+2/si/6NgFchmGfMjPH\nvGfAWsfyHLNIh1vQ2f3aRt96Q8fFXnUBkNdvln8EcC6dm8r50OMO3lx8Kq7cs/6XWWcpgppi4s4m\nEvc1AH8J4AexWDJ+laHDXiCpgY87ZujKCsq5ndJugVar0A8XeLWGWOn4mc9qZxnmWOvdBMBHUfrz\nEwA8HstzpHZjCFYKVzFEyHOueDI7x8XHv4XyUUws8ZBVzdhrG23xDud9BgAbKH87CMhyN9N2kPll\ncOX8nMLJ5mjF8UcwfKg1yGgp57FS65RrsNW7bQH4PdTbditPrfy6fGflsZ1yyvY9EJrl+zUojaR2\nLYzbpS071xvP2LhFdhRk8XChTnyHces5nSuVSda5s3vTnOe6q5NPQzdwX+JA60ko//90kOWsVuzv\ngFA7Ei43B1g9Q4Q1+M/q1u8C+HGUT9RreilrdzVR3eH0khqNJpkCAnzl4E5EO4r3oTT4R8P/FM9B\nVu9cpB7QaoGXayi9nU8WXw3ynDsLMxa0XBqSzuedF9ezB9rrMdc/bos3AHjF3P1MFPhRKxRvOtcq\nAGsvhlP7eI7XTShthdfR0uqij7XVfrK2OiG/Q1V8C2X4MBO9ILtRDbDcXCyde8X7UJLhPoiy/k0L\nKmD2Y6Sns+zp3GsPJNsux9CK1buFjLkm6xTZfwxkjBUXdw243Hn1a8Fulo7eZ36YZMdCFu/jOPsF\nl55rQVR2nuN294l78J7Pq+5woPVpFP0R8/l0mJCV/pihQk4fpyfcoe942DD8WpDVm4Y3AniGCVPr\nFCYmvItfdWp0RsAyaE0gF0wlIk04ZywSxB3GDKXg/hSlkJ6CYQ86Ncct2HJw4dy1fS0/rgOqEUnE\nG+WVwU6c7wGvLO29m+aV/F/3+jx7Y/rgmp5+JYYvJD8P4F4Yzq3SIcL4anDfPEwU2U0Avh8LqDoK\ny3PBdNSo1T9m/UWrPcULYrSXQ/U9u0HWeLMJ6zWFqBar2E/FfYD8a/U9e8guP4dDam+JLfrl7WL0\ng1EPhK0iY69zUFkL5/Y9Hczp5lytsveca4FX5m7BQofsOMgKWFBoyL7oc+J0hoOWTHhZBMhet0yn\nOMAK/fLvUIYnuA1lcMXu2gR4p3s4XZzOGfnxS2Yc1/QIyE/LeIJi4b8/5SvCtuJv5Uv1Sa0PX6nH\nZXdNaU4A/N/z42chHzZcBbTGwJYzd6jUOqQWnXDlhNxb3doZtNLbsmLV4qatleTs0etxplN1e3ni\nH/JdKC9RUTy7MVyE9CgshhN16Qb+alFHTLN0O+H0Z2EPYPGSF3+sqHZAPeDgFGGmLN2e3wBvweJf\nZLV6CiwXEIy7JloRerda+EzZ8fYKeCtWC6hcWTi/ns2VxZiyC8n0Je+zazTs51EWiKtNns6gqQZS\nmWSAtUo5JLKjIEvXyYIch7tHApTcBHKGldozcZYrTgfriYCpSO9Uzs+wWJNqCuCDAB6IYX3Rdtn6\nqjDSoelyE/K5DXOaWzoBZu/SEHIFiqXu+zF8Qe2Jn49dx+Lyon32KOWSVaZaw47rZihzKmYAnoqy\n4mxtjpYDrWxi/BjgirQ4yQpR9zVlPiV3q0PoBS6Xrwl8PvV4nq6nPtXDVK2PyopEJdP/sXfngbKc\n01GUhl1YrPgei5Dy+lgMWvoha409e/giy9tXsbyAdtzT1qMMKnqtWJOKnw4XxvHfY/lBInG7zLO7\n1mGs0iln12Zut70Ew7w4a10t706POf87QnqgyZ3rhdSXY7lc3D2yBpn5ZWla9fyIct5RkOW+LnQA\nwW4nrDxagNVbAJm+0C/5om44S3iA2AzAL6B8Rs7w0Xr5adUbTh9b0Vy6xgBWjx7i9n2t3I/vFWH5\nPnEdH2d84DrUQxxQ6+xdz9RSwLrnBLP7dfPMvQBDS1YNsnqsWw5G1M1prElWsFm5OMXdesvOoKsF\nUhlc1dwmqb1GgVpxsGQvuSyueCI78f/CmKOlkKXLOGS/1qn1wS4dbj9BWQaulqcpsFgpngOwEuOI\nWcmFP8OWKpgaZMX+n1GsGTx3xMFDK/MtWRWQDsf2EQznNrT0Vu+m5eHKLZPecCxZ55B1JLp3518O\nXzacF71Gj7N09Hakh1l2FGTp14WtIULXPwDDZ6BznmDC1b4w1Huzu6Yr3Icz+mHNy1FGnBiygLz+\nabo5nZw2DRdtNgMs/pJQvyp093Oi7eCtKGsQHY1FOTDMadoZsFp5szqo1rG3FFImjjRdg437PX+e\n0ScB+F7k87Rqli1Of2uSfBSopjWTLN9ZD53Ridui8tZAK8476Gp1MJS2Jz+5nowx/ZRmuVVUtSLS\nR7mO4VytvRhOkFfQcv8wbFm1WgAWxzegLLWSKfzQlVMAU9d5ZXMLWpasuNYVmFOc/wr/YGqZO5zS\nCw3ZObfxxL5nY7nS1CpxVlmB5fxn5dFqBGPLMNMxNehyez3/evhKnekDjWu7AHUHwdeOgiz3daEe\nT8QfGEKK7uM8xB1KxYmrzy5das1SsAqA4V/XsPttAP43k16FEc1HlkY+1hdPZoFIi1qauOyA5Tpb\ng7vY8/H7UZZ2COWtHyDxfSboj5/b3qHzvT1PrWd1UnsDY8gCFoX5JgB/gjJ29BIsZkC7XrNnGDGD\nrbhv60Fl0quws85tmrizjiPOZZatVkdDaa71F5l+7qkS2bErBo1bp+StY/H/wrBgxbGu+u4WRHWr\nhbSqtts+hzKEvwvLecjkEGhFnQaG0MCSKSFWlBHXRPxZkR+A/4VO6z41v5Zk7aZm9egBK7dtAPg6\n+ipkrYLWKq5z3xFSg5vs5dSd4+1Z6CsTDdNKz9j8HGZZGbIuvPBCPO95z8NnP/tZXH755bjPfe5j\nw5122mk45phjsLa2hl27duGyyy5L43QT3yd0rJLBlc6ZY5hya02pTOAtK5oW1ReZ9Sric5PNn4Hy\nFVMoZ01vuFttRtsc60EFHAUtftkCvH7J6mDW/uO+7wXwwxK2locx9zh0L2fpqTXIrKdhd6Y0Ys8b\nV0Au2FuwWFTveSirXfbClrNqKUS6NGVpdpLlP6MLPm4p/5ZirFm8Gp3QH/1RWxdnvF3jPz3uyYo+\nLgasNQz/Xaibs2S5H0VnxtAWcE1RLFg3zuN14XVhZ4Cq9WzuvyUBVKHw21xmtQLyoYkJimL+QCND\nkGOQ3xjJ2rMes3u72xaAS1DMibXhMM5Lpq/0GMbfuVeVVQCkR3/y8d+h2uaXXixr5baddGeyjXJc\nGbLOOussXHTRRTj//POr4SaTCS699FIcd9xxXYnRlxvNG9dZB1dcr9XNAJaml+7tlkTQxVLdop/8\nNaF+WcgWrS2U/xneiDKspsN5Cju9gK51U78snMkxl2H24qHHLV3A218B+A90D76O05LlpXaPtNer\n9aoakbuhZrjnTWwLpYLxQ479C+bHZ6OMo34PlnvOmlXLnatVkB5CVskUt+5rx71b7Rm1OlpzSwce\naxJdL3jV3BoHPyYFLP53IYOVTnx3oKWT4flnAzXg4u0GlH81xteL/EGOPrrsa+3pDIsfTbs3t0wy\naIibTcT9N+Ln2qWLq1ZngeW6X3v5yN4yeyCqJ9yb4V8mVtm0DFzZZO5VJCsvB6TOnZVXyKuwnJ/t\nlFEt3b3SKrPOMl0Zss4444zusLNZX07560Juf8AyDEyNXwZa2xVNywTDD2IYsHSYcIIhVPFxuP8z\ngHdiaJzI+tBWGnVjwGJDS9SPcNdeMmr31PsDvpP6G5Q/1BxZia8VP99nEo6eHrWlpNwNVXogKwCL\nH54C1wdQFjfdQimQl8KDVg2uHGTdEbClbrevKfweZdjT6VBcp5zajo6j0pFWPs7YvAZljn3jEbkf\nR8c/C93PoTPQyn5cPQa4rkEZJlTA0pe+0Gu1qj8FyuKlPZ2K1hH2d4odKJ88tq4ZI1k9r/ln7cW5\nsxcs1ybD/y+Q1/OxMAEMy6RXn7XKslXOWYfQA1vZNbG9FYv1RFxjXKV8Vqk7IdspJ5E7fE7WZDLB\nQx7yEKytreH888/Heeedl4blOVlcR7U+OrBCxd3zEjJIsxyvasGKfGRWLO57Y0mHiFPTz5LpCk13\nbGzZj/1U/N39au0k63en5NZO7FMoa2iNkbQ/d71l1iv2NEa9IYsriAy2VNFumePYfxLFxLeF8vO8\nV6L/i0SuXECbljUfzs3iFHTvPlN2NTLq7VDMqd5q4EZce9xu02G8DLDYmqULmO6Gn5elv+DR4UO9\nv1aND6CMVO/GQhcF/29hqJ+UebL+YwJgMsNipfgeJXToQjmndeMK5M/eJiQ51yvZW2TtTbMXtjLw\n+lMcHusVEv9Mh7myysqv9yVsFdiqvRB+F8ZBVWaOzXRQj2jYmfFvlWsiVcg655xzsH///iX/F77w\nhXjkIx/ZdYMPfvCDOOmkk3D99dfjnHPOwRlnnIEHPehBNuxLsFACD0BZtDPqaM9QoPZvasUaoxf4\nmJ/dprj5bZCBi/vAmhUr9v8dZW0pzsf/bO/8g+2qqjz/ufcldMaGQhn5YZsoUygNgZD3SmZS5ZQ2\nPyqgZqAQrVGQchrBmcEWW6D8QdH+YKoCKk0xIFR1dY2oFFVKq50KozFDhs7TVgdSdBKUH8oPwxgI\nYKWZQAWSDrx354/z9nvrrrvW2vvc9+M+X8636tT+ec7Ze+291/qevffdV9ZH18Ead9ZGd12W5JeE\nC3GvR7IQ90jk7Kk2WtuAEerBHEue9bOsqyyMLqh+gXxpgkdOLIVhKVrobXDNtrcCp06E3w/8NbYF\nTWHrPZ4SK2HN1uDIDQzp9wyo9PdjVET40V/Ds7viLS0WqbIIks7TCvLrZtAzV+my/lha/7+h9luX\nJljerJau4xDwd+Idem+oJlhyNktfsuumZmhTJbTkTRpev4DefRhpv4S8LyITdYzmRFknXe+DIzeW\ndVoJ2dKzWrfS2znr9H+E3xtrZO7TqCtLC3XIlpXWAX4N7Ca/Ty3S2VE/qdNvCvKN/hZGd9BtTzII\nSdamTZvKnhLgTW96EwBHHnkk73//+9myZYtLsv6Kavy9JtzUV/WG8Tbd/dgiWfrSG+ITWipOtp0m\nVclNSso7ykErMDlzJOshbePfAh/H758l4VQ+rSAlqcoRLo9kWe9JrvSnvufNLDwOvF3VIerfPe/J\nTTO0lD9SbPoF1otTITHCEcGKiJBHtsaB/wncPeH/c6p/LP53dFvU3DNzBsOqV9TgkWwipZ/cnFLU\nncYxrLqf6UdE5MgjXtGEoSYz+hd/cv+VJFrWH0lrIuXF6dmsReL5ekO8XDq8H7tLWV1Mxmn9pJtW\nboGYJFoeOUH4c33k/1EtFebG4UwhN4aTPzemvaVBL+1R+p/FwvBHrkSOaEX568AisTo+SutHLnV0\nS0TCPDiyO+04OO14JgfftT/OP2pGlgu9PVevvPIKY2NjHHbYYbz88svcc889fOlLX3KfIweyRaqS\nP33IezNXUdvixOszuix47Vhno3tkE0eB/yLCqX5RHazyjKt4Tao0wbLGiKePvHHr9WWLaI1RrRAc\nS2VUStBFsCyrqK2s9XLp14XGcCN4JEv6tfKF7g6RwpY1THF3Uv2jeIr7KdU0b7QMaV1WGaWr/aWI\nDKmO61cZKsXo9S/tLyFMVh5rSc4jV3qWSS/5WQRKb3S3lgq9Ix28Xx7+LVNLj7rb6a5i6VlPP3j5\ngfhPpj1FkZTsAaqNY57hq2vwc0reI4XROPHirDwe2bqK3g++EiLl5bFcgviIaOmwJcOojlZejHSP\nfAKspnc/7UwQLt2ncmEdr+sXyTGDvknWunXr+NSnPsXu3btZs2YNIyMj/PjHP2bXrl18/OMf50c/\n+hHPPfcc559/PgCvvfYaH/nIRzjrrLPcZyY5S4Kh20anW5dcJozIl4YmEolASTeRGO/PoVP7yE3x\nUkFFNnGcakz+Nb39Vc5MlthCWaYSglVqeyOb6hEsbfjS9Qzwb8T9Vr263pGbwfIsbskAtipkVdpj\nnyXKF+xG98iSxczPZKpTrwT+j3GfRe5KGrtfwhXJK2ckapCr5SfZqwpW01s8PCJQUZ4SciWX96xZ\nKhmvSZjegxUtF8rZq0VUxy7dMfGcErtv8QD9EZt0RmoCr4u3Id6jFfWhp4iNHE56BKtvR+XQeUoI\nlxZeJPAnEYLC10PWh5/nj8aQjp8OcsZS5olIl0W4Uvh2fGPRL9ny5ENhWMZHcTXk2+qU/vRvltFq\ntXiVqaXCdHnhcSMtulL+8SCc3HF1n06T4Y4TtmaxOioMtl28ATgiKNe4cXVUGipdvsuzu6X6KbKZ\netUnR7TawFLjHT3vtCxmjmxpC+wNYAy/rqwFT2AlhCuyfLqjaOJtL71zAAAgAElEQVSV6qGnYBZT\nHeYYvUuXy6qHbvR+CZfHyEvIVooXBqg1ZB/S6V2JiORmpby81q/6IoKliZN3PIM146UJlkeuJMm6\njt5N9HLfly6TJm7WM70N9fp7BbqHktsnLYHvozpfwmtrz/BaU5Xe5U1PljDuko7QxhaidK9R7/XY\nf+RaPyX1OmzuytWjTt1KXL2JUK+t/6lRxn7qVafOucFdJ88iaP0F2dMTZv3XhXWQxo+2JVa4o/zR\nlTBEt97XYVS4Re+eLHnJPQ1WWH4lShspw1YdPk+1Ef51E++t81GW3i3z6a/RFPb4QO5d3oeA9YEm\nFbKnB38PHElvW0y+o2Xc5D3MUsiRAtcFx3BzsIRW+kVcl2zJL2OpeFP4BBW/iUq4EbMuIVv9fIpF\nhKuPL06Li1nNnLPxdfWzdvX+K2uJUP+q0JqhsmasFhvv0Pr9ear/Jl+CD48nl+jLqHu0lCtfkP3l\nIVQK9QUV580mlEArrShPTgh18npjOCn3zdgdlj7jqRGHkacUdWTpGdoob4q/jN4P4Nm4NAr0jHlP\nFM5gXpGs1D9z5KqOYkjQ9sLqE66RF653tendjyXtoyZcQ/TaVXl9H/hzpmyqVQ+vfl59NbnSdhfD\n9eCN8SQLiA2g5ksvAn9MZVS63mMRrCHnId7Xbj8kKzfwJDySldxIYYO/zGf5U4fwiKaWzbl0M4er\ngDVOOXIdIepkGjllFSk7Q0neels89qz+FYko97EafZhbs1dys3vuV4N6eTGaudLl+0umDjZ1RDWJ\nHF/Q+ayw59doAZ0OtLxTTRMSweqXVHnwxl2uP3vjQKdba6peWptqg20/BAJ6x4GM034dNx3C6iEi\nUl6+yBCnOD2ALT3dr8xypCuSk5U2DaI1r0jWCuBBpk+uPMUC+X4CUzLWs1jefyhKciiJlEUYrXFp\nlfufJtz/JMotCYyGZ/+SLrDseIteudQhWTmiJf05ojVEtRcWpohWC5XJ88uZHOl6s1maBUZkS7qo\nsCWkSKA5q+eRKhmXyh2xCG8apw3cxtR5XEPAWcB/Ncpk+XUdvbAHT46RvCfaw2umXB8rWTkoJVX9\nECy5hJd7ZkTw7qX68FpCb7ctgddVS7tny/C31LMm48dE5iGR6SVVgH7JgC6YVQirv0YEwBpvdYyP\nzP9NfCOvSQSO3yJV3j0WcjrMQqTPSu+NOpq8RsmTqxLCheFKeCTMSq9LrAr777wiWc8DvwWOZfrk\nKqHUHuRkbf1fYbo6dPcLvWSox2DJ+AXYDlw8EdbkSseNq3Aqk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