{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Linear Diffusion Flows\n", "======================\n", "\n*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_matlab/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n"], "metadata": {}, "cell_type": "markdown"}, {"source": ["This tours studies linear diffusion PDEs, a.k.a. the heat equation.\n", "A good reference for diffusion flows in image processing is [Weickert98](#biblio)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('solutions/pde_1_diffusion_linear')"]}, {"source": ["Heat Diffusion\n", "--------------\n", "The heat equation reads\n", "$$ \\forall t>0, \\quad \\pd{f_t}{t} = \\nabla f_t $$\n", "for a function $f_t : \\RR^2 \\rightarrow \\RR$\n", "and where $f_0$ (the solution at initial time $t=0$) is given.\n", "\n", "\n", "The Laplacian operator reads\n", "$$ \\Delta f = \\pdd{f}{x_1} + \\pdd{f}{x_2}. $$\n", "\n", "\n", "\n", "The flow is discretized in space by considering a discrete image\n", "of $N = n \\times n$ pixels."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 256;"]}, {"source": ["Load an image $f_0 \\in \\RR^N$, that will be used to initialize the flow at time\n", "$t=0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["name = 'hibiscus';\n", "f0 = load_image(name,n);\n", "f0 = rescale( sum(f0,3) );"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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oAJ8zXhdeCJ/xNji5BSjPj8eCj54LxcwEd9tqGQtQcQHOXNqTSta9KF4Kubze\nE8VVwpnzBAq/hLgdPx5Pv/IeGG+QAAyeIwPzrFSeCN5npNR/DIkK7ERlMplop9vY2NDWr9fJRxR4\nMUAFl8slaUDz+VwaLg3ZMyJWwTzkTeON0rsB8WydDeVBSP1Kl+ONOj4+FvVO193a2vryl79sZpub\nm4XQDZlenXt7e88//7ziQ51OR5zy/f39O3fuvP/++2Z269YtX9Ndp9VGpgFfunRpOBwqsnXjxg1u\nUzCXhaiehY7MKq4hAEpbBhOSpmmz2YTG7aFLnWE0Gk2nU30WrpgGzr0UthSSJkTGB4liehB37959\n7LHH9DRHoxHNLYlc6lRsf4oy2iohG1WhKJo+5/N5yrIcHx+zPBaLBYFSolnValUHHB8f//Ef//Ff\n/uVfmhldQyHRmaMISlmip30BMH0ol8t+34e/N19tIMkqSlxOGPMMjCzbKHMJjC0L6QSoAc5MJE8a\nBa3DB3OpWrxN0AVT1yLc8xXzrt9Qer+uMdx73nWB8YRG/tVbQzNPUFCYkOlqJTb0Okgp9xXlgSQq\nsBMVz1ZfhsYfEOK9wZver35oGogP5gxMbSvEb3hV0FUy/1EDmbiIrbIJCoXC5uam/uuZHWxDnq0u\nzWEhIQzm9L1797SJP/HEE1jBuCbL5fIXv/jFD3/4QzN77bXX4EfkQ5+Lr33ta3fu3NElms0mxHfK\nsLKJFIvF3d3dW7dumdnu7u69e/fU9JnQgtSqNpTBYODpzrr3yWQiFoaZVatVuDNY3yrXRICt3+9r\nwNVqVQ+i2Wy++uqrSlYTdd7HKS3UuIJG7xP1GEkupCQ3Gg3vCYmpP5vN0LLlcllMHHPBKu3F1Lhq\nt9tPPfWUmV2/ft0vKtLsdKRiYKiB+xo35rQUoTVPQPf/8vPEZWtl4l7QgnAueShyl2HcoEt8UoT/\nF6/L+y7eTeRR+ue+Th6xVbfMv3f+Jzh2fgB8xvEql8t4YBl301/agm3KS+GzuaN8RIkxsChRokSJ\nciolemAnKlipGPIEvWw1DZm8fW8SisNGyXNcBFulMhOk0a/EoedgbNsMzkMRpi9/+csCDHO5nDh7\nRMjMTP2CiejIRRiPx2fOnBFauFgsDg4OFDyjLEKn05lOpxsbG2Z29uzZT3/60+fPnzezL33pS6++\n+qqZ/exnP7t9+/bXv/51M7t37x7VQCyU4lXBXHh9QIi5XE7ez61bt4rFosJdYvlbAPowk0kuJkfY\nQqKCZgwbWWX7dQvQFJVdLlxuMBgwsEql8uGHH1ooX0R4T77vPGYAACAASURBVNcVSumL21Jfgz4v\nVB+W7wi3MA0k/mVo6SIOG9EUnbbVao3HY8GJy+Wy0+m89NJLZvZXf/VX5Dbk83lIhiwAOHWJ6/ch\nuqbmwa89DqAslhx6XxkLwiFrHhdKeJpfSBaQQA7AbfJgL3FfOXB8zzxnglWAcuuBYflPoOX3BTlS\nV4Ear8v/61FQINByuYybrjn3dbZ8QSx/Bm4H+nGUB5KowE5UeMOTJBE3QW8L+wJvPjiSXgPQOXre\n86L6zUIvbSZpRlrkvsCIj7GjOKfTKRCTKOy1Wo3qRDqVfkihQqpXWKhDqHARKuH4+Hi5XOqW9/f3\n2+227q7ZbD733HNm9rnPfe7o6Ejhnzt37lBysFQqScE3m82bN2/SnRkIi8y5ra0tlZY3s1arNQv9\nlFFUKvquzxAZisXiZDIRFlqv11HJnU4HJkUGziL1TcpSVaBQCSRs6cFpesvlsqZI0RTif5Tq4GEl\nrpxSBmNEac1mM2k7iq0Mh8NFqEyvfgJnzpwxs83NTXpJz2Yz2TRLl6CWuQpYGQsj57rzqE6jDuYW\nlMzESs6g0xkNkVtrNSLVAhjoY0Ue9GY8mYNtFZ1LXcKWhxb9l+sgoY8/ZaJfXmlxRz7/hDQv0uwI\nhklxYnL5qSbJYT17LMoDSVRgJyp4JLyH2h/XA1TFYtEzvkgtGg6HGbaSXCKUEK+Bz+pdupaM/NC/\nxpVKRe1FLl265EujysjFgbDgz8nF6XQ6ehUVndL+WK/Xt7a2pBKIUe/u7hLFmc/nVKc9PDzUkHZ3\nd4vForpQTiaTarWahHwsdvbJZCKFClGi1+vRxn6xWDQaDXmB4/FYM6aNm9zYvCukqwPa7fa1a9c0\nsOFwSI4wBAoqEGr21AJDl0ajpI7g1+125RHCfFsul/V6Xbrq6OhILcHMrNFo+LQ2aZqNjQ0ClsT8\neHxMCGFOZgnrRytK83/hwoWrV69a8J8yTITUlRlMXa+TTDCMHdb7LnATPNtiPe7lg0/+v14v+kXr\nI7v+Hr0i8YRDfgKJKVnrIKN7z1A/+K2t8ie98OXC1dwyRxvxbxPcXYxF71yKUUJNUfQZTxD2SpQH\nkqjzo0SJEiXKqZTogZ2oYGCaMyGxQIVOYCbLZvc9TeRYEKjAZsSuBH+34LJYiGBhlq5bmltbW1/4\nwhfU1qRUKlFoAyKySkLoh41GgzDP3t6ecqEGgwHJapPJpN1u69IeldrZ2dHYJpPJfD6HbKYj1UdY\nvtR4PO71erlQTl7A471797a3t+WmqOqumanSgY4cDAaAcqrroVtot9s6g4/iAFEmSQLe2O/3d3d3\nhfXBUFdgkngYxr4HwcAVVT9egcNms0k1EOJ/YpxyafDkRSjFO5vNVF/YQsNDCxU3yELDiUySRDhn\np9NRLx4Lzpwc3Oeff/6tt94ys1qttr+/j8PBakxcrSkosn5l4v3I4cArYhJw7DwYzjoXIsrBHojz\n+V4+/oQHxr2bK5aRuPJOzD9RPY3QB65s1QtcrlYD8SDk+jdLV2uNfz0K6gdma+LjbR4J8F7gMmTv\n5e/XxDzK/yhRgZ2oAAyaS7qE562dnb8qjOQj6tqXM0EC/wr5YlQeCfRpQOiwNORCXbly5ezZs4vQ\nIplzgkwK39cB9Xp9f39fZ242m4RYqHXkmQ6ePAJcVqvVOp2OlMrVq1cFXR4eHp47d45o0Gw2047v\nCzIBJ+7s7BAbJzFOqOM8tE4mhMZ0ibW8HmIBqZtOp/v7+5TRIjDpN3FzVRb11LRJpaHQYqPR0KU3\nNjZ0qv39fdjhYpRINTYaDRSY14tw7glr6ZmylZN9jGbVbeouBFEqknfmzBnZJdSc9AtAsS79Ch1g\nTjf75y7TitlDPZD8YC4PBJZ86lKANUseLbQAgAMAovmWoV+BVx6yw8BX2fF96y8fwONV4l9dy8fG\nGBiQ5n3xRj9y3g50oY+rpYGHoi/BG1lF6GAfWosBsI8ncdaiRIkSJcqplOiBnah440vfCGDxkAKY\nGxQM0nLT1RI+9Cr0JCsLvkXiqtRYsI49+lEsFmWenz9/XhiUhWRV0qKh7WGqyw2iOJPocL1ej/Lt\ny+Vyf39f5Z3K5bLYBCITqgtloVA4ODiQQ3bu3DmdarFYdLtdXQ7w05zlWyqVxuOxDsjn82KR9Pv9\n2Wwmb+/w8HBnZ0eFTsbjMXnBlI3QDED8A2wE41osFnQchUumS9CvEormPLTB9C3WZGjDMpeIjnj3\n7l0zO3v27BtvvCHcb+l6auvuLDg95C9zWsj3Gp6+r9VqvsCKfFaxEHVHzWZT1zo6OgKk8sb+0vWj\n8gkAUDTN4Wnke0C+l7/inY8MgcL/9b5cCV0Un8mfwS9+IFw4I54P5QtecO+Za+HDZThQtuoJ+Wzi\nTGaxf0lt1fMWAOvzHGy1Faqf+XxoSeEBT1ttyRblI0pUYCcqHjEAAExDKpgoSbx+89CdHWRGugog\ny4e1gDU8FkTRBwJFAnyorKiCTxqD13CUuSKUlQsZPIrWaLdFDSjoRYNHIiuAn/P5/JFHHtHZvvWt\nb/G51WqBTPb7fVqZWCjzQVdi7aqaKOKCKgyI4jRXgsjXHgQM9AQ/omjctdBI3RphNhiMFmh7+qZU\nKgnjReHZanN6+kaCcGrGarWaLjGdTgFaqX0l3qZmUnFBC3Q1aP0o106nI0U+HA63t7dVfGs8Hs9m\nM81etVpVvt277747nU49MGirDFhtu+zyJGbxZalUYqH6zizJanlD1qHPeVoHJxEfKOId8R+0ljLx\nJ/+IBcv72cvgnBrAeiTPY4xonWS1A7WPga1Hzvxb7COagMye5OkhREYL+OlnKcpHl6jATlRS16wI\nVwwXQSb5MhQH0mE6wDN3MyxevZzr4Wgq+CnWhbtGraNKpSL/SXa0lEepVGq32/qhLxLY7XaljXK5\nXKVS0ebe6/VUuunMmTPHx8fypTY3N4fD4Ty0Tta2W6lUut3uD37wAzPb3d0dj8fa3NWI2cxu3769\nt7enOzo6OkLTLBYLXUKulfaI4XBIxbxSqaTBVCoV/CeiRKIzaOTeXUAHTKdTMskUg/SekL5EKark\nLp1TfIkjNnRvgEPiWITaS8qk1lSPx2MGRk84URJgeaSBm2NhA9WAcYAgj6DpDw8PsRs6nc7v/u7v\nmtm3v/3tTGKGrQaHNDlsrLoibcEteGCYROzsOZeKyxkWqxnN3tLKvBFSYHj8Ge1lvzpQh8iH5q3x\nCpIxLF3FptSV/fT0k3UOxX01ild7vM4yCj3gwTyjyM0lY3iHDE7W+rWi/I8SY2BRokSJEuVUSvTA\nTlSSwB7GZ0pWy556IGLdltRfMfYx7jIVsvFOiGBBdBTpEcoiv9rZ2cmF9iJJksgzo/KFyn/gATQa\nDRiSFHeoVqvgWnStbTQaJCxfu3ZNd3rz5s29vT3CPFDGDw4OBIg1m83ZbCa/CgJ6tVoFSp1MJore\nmWPiqRyGzuDbgYKS6d6hKRLWwgMuFou+fag8rVwuN5lMcEkZBh9ELPQcQlxV79x4b4CxrUdTNEji\nMcC25rBKNUG10KFbM5bP5+UBKygIKK153tjYUDEUXRqPP8O+022yclRIgoPv6x7B4TRH28Op8q1k\nPByHa6Kb4gDWv+cumhOcMJYx3puFt2adLkjJEl8Jhd8uXMdLjxJnhFvzXzJInoVPG+B4IQp4gfxp\nHRGN8kASFdiJyjq8bq7mDVX7/AHrrzHV7XwRBKAbfzCBIgAxfYAWoc16f3//7Nmz2kq09ymCQptm\nhU/8aYkJ6UO/36eGhcoMSoXwYTgc9no9bbu7u7sHBwe7u7vm9qOdnR0pOTM7c+YMuJ9qW1hor5WG\nEvLAdGB6wrhoLwJkx16ZuEpFVPpQ0xPicEmS0JyFmuKggsLQlPoGmKbxQCph/lUjUQdUq1VUIIUl\n0zQlCYHCHxqtxqPsOj0UwlrK96JQFmyLfr+vg4fDIYUcaVr267/+69/85jd5gpg+njSUc/13UDZe\n4+ZCBxnWnmJOPqUho+SEW/KwzKkBdnZvSKWus5fXZOuanrpWXo3pbJyBD+gMnzUBpOnZ+YnrrXxf\nXNF/k3M9wHKhEgfv13K5LJfLRJGZB5Slx1dRsVEeSKICO1HB2SLsnElgxEzLbAQ+xIXLgp1IHRqV\nSiJ/mXP6xBevh6gUNRgMHn74YTPrdrsy5C3EZvSZd1VjoIavrjKZTIiXlMvlVqslrcPOrpQmDUyB\nMTlY9Xpdm3g+n9/Y2NBuu7+/v7W1JYLDaDTSGI6Pj2u1GsQ/th52wFardXR0BIGC2yS8ZK6xE5yI\n4XCIAaEMbl2XYJh6YvnGHDoVDcPMpUV7bUc5q1wuNxgMNA/yCHUXg8FA6nZvb6/f77MRqy2ZrdLV\n+Bcn0o9Hbplmr1KpiEtiobCymb344ov//u//zsbKQvLKyd8dPqs/Jl2r16e/YuUkrsMZXn7ONVBF\nN3OAvsyw9cz5MbhWjBPtAqOERDTFIDPV2sylhC9cM1U/D6ljS3oXTb/SzGQoGD5yJuZOxnc052xp\neqFxclpux1cwiPLRJcbAokSJEiXKqZTogZ2oeFaS5/ViZnpyPF96NhTpOEkIp4mBBow2mUzkGSQh\nIUlHerREFuj58+cvXbpkZh988MGdO3dEwj44OIAIXq/XYYqD8wh4kWcA21Acek9u1GdgQxVQhwRP\nZYpFKKF0fHxcqVRUQ/39998fj8cUnqdWb7/fX7jOvBYcBRX1qNVqm5ubop4Xi0UcO4C4nEuYw9pV\n9IKemYwHQqPyvSDfE+La39/XCGU7w/X3WCvcuSRJxKKUr5yxtcfjMV9CcDeHMeZdyfbxeEzLZk9J\nxfMT7kd0R6d96KGH1CXAQkST4fkAKi4aLgKLIcMAxMkg8YBL26ojZS7UlLgK8eteV+JKdeRdTXfW\nnvynDJ1d7rh3wjJYnB+DXDTPg+fSzN59b3MdS8y5FAIFpH2tE3MenoWgoH9AFrDNzIYQ5YEkKrAT\nFV+p2ifArgeNPYTC4k6SBHwD+E77jl7gfD7v40OcDRQxTdNCoXD58mUzu3Llio558sknB4MB8RjS\nrba3t5V+22g0eNO0ewoMpI39crkcjUZCyRTvISfszTfftBCtUS3569evp658O8nLIHIXLly4ffu2\ntsWzZ89CmoB8XywWpVlF99DsiVsvzn2/36eSnpS6hUwmD4Ra2DTJkzUXOATknE6naNPU1V/XaZOQ\n9OYfq7lMvpxL8xJcRlVDDWMwGNA9Z7lcwrNfp+dYiCr5HAALZg3dxXJrqU7L5RJcN7MXe5sg86tZ\nEAaQwb01t54pzvJmEapYlK0qkmS1TbO+rNVq29vbgnCBbe/evXt8fKyRp2lK9xaAR391cwZf4qom\nen6/yhKaM4N8rCt1CVsZhgu6inAyGSm+0YE/lUdf0bKAnEqP8UvRojygRAgxSpQoUaKcSoke2IkK\njbWSUC1J5ucyVJHwLCz9ROYhSJE5k5O4tDlPztcf0hkyqEir1Xr22WfNQRyPPfbYwcHBrVu3LBRX\nhelAhNlTxQAkhV6aWa/X8/Y71jFolb4X1re1taWCFObsWdVSojzu1taWHKBr16498sgjugSuoTgj\nZlapVMT1slAliO6XGrlQR13X8wZzuZyMet9NTR6PzoAHLHBPX9ZqNY/1UXrYM/VhHnKkTHWAuFKp\nRK0pnmCxWNSESOgQrWUgLxMH0RO1KYgF9UO527oEJHixaSBYQtknR96cx8DS0kpgtDgcuCbj8RhO\nysLV2QIJ10PxbHUWkiDrZrPZaDTk4IrTiNsqf+XChQvHx8fK61i6TP9ut6uq/7du3bp58ybLzNNM\nMhQVxgNS6mFD7t27RLiVvl8lH0he1l/x55hexkBKuzkYRu8X7nskcXwMiQrsRGU0GvEi+Y3D85p4\nJfgVGsgj+B40Hw6H7Bf80L9R/j3Z3t7WjnPv3j2BfmL6aY/mJzpYtaYUXyGDbblcgvNov4bFZwFf\n0mYK8KKqE4SX0kCvb7ValGnn6sPhkCyr2WwmzSqaPsODJe8DJOiG4+Nj3YJSBaiWJIjVAilfP4Rs\nKYIfUShfak+/8sUPK5WK/ntwcJC4mnhMzsbGBtlay+VSFEFthZS24rEuQiMYC5ln5nY62SUMjNIh\nFnY9JQN4CEvft1qtJHD6L168qJn0UTq2YB9qJZyzdK0gPWWOIzc2Nvr9PiofJUqqADFFC+DhE088\nodmj2sh4PPZgIKFHwquUJvGtVXK5nCK4L7zwAnfU7/e///3vX79+3RyEmKwmh/km3RK/5vUE+cwH\n/8J6lqMnGeqvGZ69xzZRaQyMBeypmFE+ukQFdqKCfcd61XbmA1SeM21hm+NXPgzOOUnY8hR8r8DM\npYhVq1VRq9NQPuqdd94ZjUZwQyqVCvT6ZrNpZnfv3mW713uYD62/9L22bAIztVpN1nG/31fG8b17\n9+glXalUvAJbhCYg1WpVG/dsNqvX6/DO5YpJWXIvOlLeBuY5W0OxWMTBKrjOyD5JiDgEm/hisajV\natI6OFXj8bhWqxEoIvNazaB1iUwlPeUhbG1toYMTl72E+hkOhxgus9lMU60r4g3ggaGza7Xa1taW\nTxrTPNDoWeR73RE6ErfDVkM+pAMnrtIuH3xzONWXyoS4zp8/32g0fvSjH1kImLGPZxawmVWr1aee\nekreMJ1xzClsGUkkgVC2OA1kFj019LROpRVFgOq3fuu3Xn/9dTN7++23eR0SV7Axcc3QsQ+8mvFz\nxZf+teIN9TCJOUXoPTCChahAvEzdDs86kjg+hkSdHyVKlChRTqVED+xEJQPUWLCyiSLcl3iWulra\nnMrjG8kq1T5jGGYEe7PX6ykoojASlTjwSMbjMe2JAV7kftE+WOcURZ4q8vV6XR5Yt9vVaVut1mQy\n0dmU0QyMJrNU1xUgOZvNOp2OXLdGo4FL1O12dd1KpaLZGw6HJPYK/QOhxYkk3NjtdoWImussKriM\nzNbhcAgbMB+KO8D81JPS2QhQqYMl1wXK63a7HiXGPe12u3IuCZJ52EoArC5Rq9XWCaX5fH5vb+/D\nDz80s0KhQKEHDwbO53O5rSp3IhkMBhlyXS6IBYSQAcsdbLfbN2/e1GO9fPlyu93W06S/z2KxaLfb\ncuhff/31pSt64gEGfX788ceHwyHBQk+yJYrJomKQvhiYOsXkQzcAuaFCpIUBTCaTSqXy9NNPm9mV\nK1euXr1qoaGoltZwOMT5I1ppDhpJg/i78B6YBdcqdYW5U1eyJOO9ecc3c9rUlefIBKqjfESJCuxE\nZX2NpoEubGZqqeW5v/zEbz2eFmFrSpGQg9dwnEHgG4WgxIkX6CcgrlgsVqtVkdS73a4O0JtGqhm7\nfy6Xk6I6c+YMW0CxWNzf3ydeTfWBSqWiuP21a9eAE4+OjtQ5rFAoDAYDBfNV9F1jqFar2kwXiwWZ\nAygMxqPPNO7K5XL6Vb/fp7ahmfV6PVVWpPmL6khxm9QnLJfLAjk9tiOc0zM+dIZKpSLdrLwrCCy0\nUKEbgEYr7AubQFoc3ZCGNDtE5aN0a0JHoYdo6x8Oh8B3yoHT5UajEWtgd3eXvECPBNLTOZ/Pa9Ie\nffRRjfzWrVuPPvqovpxMJh9++CHhLu3+u7u7hULh4sWLZvbmm2+KomIhu84CL+Opp57SID1sSDUs\nH1pjttHiqk2DMhMGbq5dtT+DNCjTq3jbzs7OnTt3dAZFLnmCqFuSH4i9+VcsXU3v40uS5Hyw0JuP\nedeozMfkuEeo/F4dRvnoEhXYSYtXKhZWM3Y05AVvkXlHarnWr0+vPb2RsOUz7pcPxZOmKo9EcXIC\nNsr9slV2CVawHDhiJNrlB4MBxL98Pn/37l1IGai6wWBAhd9isXjv3j0zWywWhDdyuZzUgBSkPitH\nysz6/T7e2GAwIOYxHA61iYsKwc6eDz3PmDHZ8hoYZY7VjYVbyzhbFgpCkrMMiSbnUr7Ym3wOlmiT\ntpq5pagSMSG4fD4nCaoe5oguqrOpaDLmCE+Z29QgYSdK0/jF4I2kSqUid7DRaORyOSXq9fv9Gzdu\nsLTgcOJLoYfkvyr3DsqJOTJRqVSq1Wo6Q+r6/uBTaoVw77hHOZfdr1VtgbMDMzYJ5RbH4zHLDCdP\nJpGZob3MrNlssngsOJrFYvHWrVtU70xcQSz/inmDki/xoVkYiHALXHNsBW9ArHt7UR5I4pRFiRIl\nSpRTKdEDO1HJMAORJJSlGI1GvvuiBe8nQyy0NbdMluB0OlXWka2a5xbCIc8///zZs2eFzuHxKIsL\nF81cyhSdHi2g+bPZjHCXME9ztGkN+Pbt2zhAOsNyuQT4qlQqlE5XTMjMarUakBogp4XIlg7o9Xr6\nVbPZlCum84CMmUuV03W3trbu3LkD/Xq5XCo4VC6XCdI0Gg2Z6sKXqEjC7ZhLtiMemXO1VHhY8hU0\nHqoqyzfSGRqNBt048WN8oEguCAAsD4UHNBgM+v0+j1h+g5iHuMWj0Ui32Ww2qZyys7OTOW2tVrtw\n4YKg49u3b49GI4XWEF9rSuAeaxKKpm5KU4ov5bOm8FOFjvrwj62S0T0NDzeF0bK85UP7FgFAeXLX\naPKpumJKgCMGycMFt2i32y+88ILO8Prrrx8cHPCSeoqgfx9tFTaUm05UGxewWCxSaMbnBUJN5H4J\nYUZ5IIkK7ETlvqwK3lXtfeBLQAoeY1k/SRrEAqRDWwcPrytQ8cILL7z11ls+Hmau0ZQFhFAvdq1W\nW7qGLPyKQAXY2vHxcRpywkajEWSKXq9Hjir0B1Xzk4o6OjqCwr4Ilfjz+TylCAntiLZOZpWne2ge\nGo0GO476j5iZWnmh3VE/3W7Xx+Q948PT681MlYeEkqmKI1szGyVPajAYNBoNknkB3zQ2C5saIR9S\n6yx0yVEuMB3FfKhP2mKxWJDE5qNHhUJB5oh6yugMaSCPpGmqWzCzzc1NEWRqtdpkMlHWlIJ/9LOG\nvECV9MSlTxDrIpiqFQu5A0Wl3ZzC/76UGiweoZcWNEqmlrxwVMJdpDFA3vH2gUj2GuTx8TEgsFcP\nYK15V26RgOWv/dqvTSaTV155hTWZWfPegsSynEwmJAv68/OANELuyL+8TEhMZP4YEiHEKFGiRIly\nKiV6YCcqS9eOC/F8DQ/OwC32vKZkLZFZRhwYF5apz1E1M1VDf+edd7rdboZGDI9ZUi6XZVnDMpCt\ninvU6/WggXAqWGEiEejger1OayscjvF4fHBwIM+s3W4LQuz1es1mU06GEpbxY2Qml8tlgCBKScmk\n1SXkN3i3ycwODg4w8AUPwpvQ7cujgsuHqT6fz31NKeZ8udrhyVbD/iIsZAAiPTJ8iGKxqAFbSAAX\nYQFuSOoqz/KluWIllK5Yhqofg8GgVqsJGdYI4cvgr0C8vHjxotInrl+/joMlJwNYlZGbaywH8ZJ7\nVwtQeDH0iiyVSmJ7bmxsFItFVSGxVe4GnjfMGs+nBXsUZggCkYbKVblQygsPm0Gy7PF+eIICWllF\nkDg8M7DRaPz+7/++mb3//vsqRS2I0td6tpCGjHsq/o45CDHn6malrl5+BsyIyOH/i0QFdqICWmir\ndKZ1vjvUxFqt5lnCdr/4mX/9yE/ytN00FN1QwTrSvHQGuo1YKNyXYUaJqUwOFtql0+mgSNANCgbo\ncrVaTe+wYMMklHeqVCrSW+ZCa4vFghqAMPUpKlGpVEajEYpTg1cpI/ZZVDJTKm3BGGq1mgZWKpW0\niW9ubvrbFBZkLlChuWVCfDMOth7ATxXaoDAVCRLMuSAyAicEF4kDiUDI4yYw5vPP6FaTpinluyaT\nCfWuYAaWSiWPD+vLyWQiCqiiRygwMOdMWSO+RDeAYern2AetVks60keMhsOhoFQFJhm5PzlwIhAu\nLEQtfq294XBII57RaESkFs697h2lwml9F1CWt+/AQoBKFowU6oULF9Tl9fvf/76MAz8wsiEt4LoY\ncNhe9Fj3GQuJKwvi2flRPoZEBXbSkuHa2hrFWR+wvrUnshX65BV2WM6pv/qqrxb8JG0iilrxprHt\npiEVVHWe0DQ6rXYlxepLpVK9XtcePZlMpIdUEYp2Kl7jog/G47HOoPPT01mXmM1m3W5XZrtoCES5\nCC2QoIbHeXR0hO+oiSL/CXU7Ho9lqouFj8bVJiViiO4Xboh/FspY0uzpyEwkQ84l3AS0Do9M6odw\nUeqSmtHHaWDJwxHnbDoJ26ISA9A6i1ALcTAYaMZEE8cj5Oc7Ozv677179yjZxW1qStGsROx80gXL\njEitYk5vv/22hb4zOtg3kPMpX15vYXLlXFdiCmYuXBtxvLFisUgOO0tLvpGWk4pEa1Ghj0ulElpW\nYAPsD82YHCl0JGADKYxbW1vD4VBrw6t2FoNsDhw7lDTGiuYWSg4Gqy8UGWn0H0PilEWJEiVKlFMp\n0QP7XxMMfAvmvGxGLOLE9Vyg/Kv/oWcqY8/yQ0A/mcCyYff39zc3Nyl2jpfgrWNCYmpWYma1Wo2C\ntrouYJSAuHv37pVKJXHbkiSRC2XObxAVjWAVKclw53K53GQykaPzyCOPjEYjrHIhnLKLNQ9CwGy1\nDaPwPQxtj8rS6REwCqBVPVyYMerZM72z2axarWq0StbW5IhsaWblcnk4HMrql7GP+4LvKGjLQl5B\npmW2OTjLo1vEflKXq95utxeuATTtqofDoRzcJEnwKblftWshDZziufyrxZAp4+RbIgjglW8BO//g\n4OCDDz6gqSZLCExVE5VZ8+bcMt9nxONpsP4E7ml6fciNFavgE+8CPj1f6klRjIpLUAJYs6SVrMtp\nzJVKRRzXCxcu7O3tffe73zWzfr8PdzQJBUc0WiqhEOJicWpy1mGJnMvXzsS2o3wUiQrsRIX4ra22\ncgdzgBbh32SwvmKxSKyY97NUKqmbhq21zdWbpr1pGeofXr58GRKBjlT+E28dBYoUdjKzbrc7HA7p\nSoxqVGzMQkKS9Mr29na73WYDBePS5m5ms9lMWUq2ouRmDwAAIABJREFUGv/Lhby0999/f2Njg71b\nWm1zczMXypbTLWw8HiehZIY2LxBCcr/gtYsET1UI9PHx8bEqUHAqc0CQAC52WEJu/qkR1dCmRgtj\nnc23j9HDor6GfwpUrqLuFGrAMx2AK83hTloVIFT1ep1VBCoIIOyjRMlqqznQQpafT+9Dy5bL5WvX\nrjFLGpinovjt2FNgzJlf3Bp/0u0AAPI9dUzMIfCU79J1PYkJhJBJ4PYTV/CCbAFBpuDMWlTmWB76\nrL50P/3pT2EVwc0RVAiuSyMYX5jK37LOQIjaL8goDyRRgZ2oAND7GIC56mo+QsaXvswdtXag59Xr\n9Xw+L/vRXKHVDGFkEarf8lI1Gg3pg+l0WiwWFX9qNpvs3RQ9khcIxySfz9OcXptau90mqnR0dKR0\nXXPkBZ9BpSQtHex9BaxyqVtuUx/u3bu3s7Ojs6mslP7a7XYxySGPKB5joSmXDlZtYsgduIb5fF6h\nNVEe/LQzpYTWSP9iehXi0oSoUpF+5WM/mmEd7BtXciSMNZ+361OAMfYTV1oJx87XuxJhwX/WhPT7\n/c9//vNm9g//8A+08/BcCaJc+CusJQv+osZw8+ZNHAvGKReZXRhdSD82eTwMWKdSfUs2dK9QUVo+\ntZHYmG8Ol3PpVhZiV94E7Ha7SuSXus2U10rTtNPp8CVPltjzcDikYtmv/dqvvfXWWxaceO6dzwQm\ntYw9JOC5G7b6hrLgozyQxBhYlChRokQ5lRI9sBOVT3/606rWc+PGjSSQzvOukOvS1er1CAPWWbVa\npZUtdRNms5ns+iRJOp0OUAY+E7wylTrFrgSEJA6kbCFFsyA9q/sJNjWlIjAhe71euVymbDk94NW9\nQrdJ8ECc48wg1R0Dqt7R0ZHOpuq3uvFOp0OCGsWfZF9byODBG8PBImoyn8/Bl3xwYj6fEzipVCqZ\nYueynSF2UsoIH7rdbtOpZOG6QgNjet9F5rkeFlkB9XrdOxyJS4rwIBjMdaJZdOIuFApAaqVSqVqt\nUgMM33E2mz355JPmSIbyqr2/nonHyIEGkV4ul77ovgV4ELKrBd8CR1PxJFYLeKNnwCcuYUt0SnPA\no3jtDMzzGD0YyBhwsv3BlUqFTImly+QDhMzlcnruieuSDHdXi0R3sbW1JVfs9ddfp8G6d1UREFf+\ny0wSYkxWKcQW5QElKrATlSRJ1OLhzJkzalY0GAwWrmgh76R/gVnlCqRTGElHakMkmEysAjBKKVb6\nrI1MB6NyWq2WDxhwcqgfYFYWNjXSQkkmbTQaUKjL5TJNn0X3UJQC+AhyAbu8+BdJ4K3M53OBou12\nW1thp9OBqczGbWZcV02lMxu3EnGSkLhjYVtR2UlbjdDoV5lySmJSUNwd/URIbzKZcF2lHNGbijNk\nngWPGBpCvV6nvKQ54gN6wkOIbMFs99JJbOJkYVcqFVkSvqfz008//fOf/9xC9I4lB4LtP/BQFF+E\n38+Toi+X1p7GUKvVpA/u3bvHDEsB6AbpA+cxc40ws6Gr3hWVqwDASSKm2KCF8JK+xy7Ro1yEFgEe\ntcZG5BUTmyMfqpfpDBotfJNHH33UzH75y19igugSWlo8CE0dytLjh0CIaZpiGwFZR/noEiHEKFGi\nRIlyKiV6YCcqvlav+sYeHh5+8MEH8K19SqyvMQMYCAAlbpsF5waOhqcU4zdAKBgOh51OR15Rs9mU\neS5TEQiFiwJbeZK9TotFjMUN/WE6nQ4GA12uWq2KLpgkyWAwwG/A4QPs0gHckYgPZnZ0dKTRVqtV\nsk35uTw5TyUHpcTKxlVSnByfkgqzUCX1gKgXDMiJW+CRIjxdHcZnD69BC1y4olCepJ6G6vubm5tw\nE2BCQldTgrAGLC9Ek6Pm17Zav1/3rv82m01fHkJO7ec///lf/vKXZqaSVMw5FAyyEeQfUNl57lpe\nwd/js34OQVxd5QTHMQ8sMF4Ec8kAvALmSBwqu8y7gD/N5AguxuP0DBRAV7VyNlfcRI9e61/FTfCE\noIyORiOdSjwpqJv68Mwzz7z88st+xWol+6wMogOAnP4WNL2eZ29RHlCiAjtpIUij/+7t7bXb7R//\n+Me2ykhEPDtZkRt0hg/GaNvV5gifzXOg4Ul3u91Lly6ZK/Sez+ebzSY4my8ZrjdcxeN1icVioU1T\nwrXg+osxTwhK27GoX1DYqRSFKiIIoYFR7m82mwmNbLVa/Ar2ndoTa+Not9v9fl/6cmtri40bHuN0\nOt3Y2FDArN/vU4VB7V0s1D1C8zEhIKiJI2TDa9cM6GzHx8dAaha2bN27xlOpVADEiKIJJYZz6G0I\nn7FH6gJ1Jfz+mCSJ7mJ7exs4C2AqcYU2Pvzww9/+7d82s3/7t38DIZQpgEL1HHfRUz0TlaiV4ErP\nFAfr9qE18FVPekSreZwN2qonNPpXAw2EGvCItLkiljKJWJC8dxgxUPbVlxXwdhG6NOTz+e3tbZ2z\n0+lQ214VZ4rF4jPPPPOLX/zCQrMFoHtKRlnQ7jlXZNInhPn5jzGwjyFRgZ20kFxJIVefdsMBmYDE\nuiryIeKlqxFMFMdCFEFqj0hGp9PRG3jz5k1+1Ww2dUIVKqSbu49UsXkVXGdeBuYNTHwpMqwVJZKK\n0rai8Nt0OsXRYeQ6zOsMM+t2u9QATELC1mKxaLVayjZV7E17RK/Xk9+mZseQsElxY/PSFu9NB6mB\nVqtFti8EluVyOZ1O9eBouKzInLQ7VoW5tFy5CKgcaNxsu16j69aokUhBYcrySrsTqNPAzp07d+3a\nNd3ybDbz2Utsi/P5XP2xxuPxmTNnzOzZZ5+9evUq/iJznllOTI53v9BP5nZn1gOuMHwWC8qD7Aiy\nx9jxtaFTwDDncvz9GHwWsK1ahOPxGC7MxsaGVhoeG2+QHhYKG0Voq130Wq0WBdgw4BqNxuHhoZmN\nRqPz588//vjjZva9731Py8+/CBlJVksV6wNPx/81ykeXGAOLEiVKlCinUqIHdqKC4WmBaSa051Of\n+pSZvffeezRaBKlPXN88W60gBcjGXwXXwIaSUemZb0mSHBwcwEFfhDaAw+FQ1Plms5nL5WTgk5Mr\n2qHserllvjStBV8Br+v69euLUGyXeA/QmTmGHmCg4hy4jLRWYR7u3LnDwPL5PNyzfr8PKz3nGhuC\nUJHIXCwWicPlcjlK33q0EIp5v9/X/Sq+wgGTyYTOkLgI1WpVj1UBsIwPYa5ql7xh8Df9VUcSS1Oy\nubl+HIrikNKAo0O87fbt24R85Fhkyjqo2JVOOx6PVX43l8tdunRJoKsWHiRDCluIoWqu2pOttgsn\ngijfSAOjsrAemV8DYJ54YOVymRAjuDe+mqaXSyxDfROixTotkSQcXHy1NE25rhypDAoirwtKfT6f\np421Zk+rAmCQys7ValXX+uQnP3njxg0OIGLtkRX/kuJ45VzXWYvy4BIV2IkK9Gg2L20Z2iufe+45\nagASuOZlsJCYwqbGpolS1LuBGoBfnrqCgb1e74MPPjCzF198UU3CxAZmb6JZhhjMFnYZCAVEtqAs\n513P+8Vi0W63tUUScxJDmqBRPp+nWzHwEciYAlfaXLrdrjA9qnvoYAVmptMpZRW1BzFd9HNR+RIL\nKXQoFeLz0+mUZsdMeBpKWHlcaDAYUKWJII0SGyCwLF3dKeacvYycAXMAoJgmKPKlq7OO4oT1oPr6\nGTq7ni8F+FkwFB7TzGtOer0eRtJkMqEvWqfT0bMgYqS9mAXpCfcA3TnXeQADBVtEqxE4cX1D9/xy\nXS4Doeu6QJHg7d44WLgODBaSzDyxhaCgYmy0ndNfpd4wiZbLpaK8BwcHHoTXabvdriwYLWP96okn\nnhiPx4R4WSE8IKGjGQpMRsNxR1E+usQpixIlSpQop1KiB3aiMp/PVZMtl8vJyhM5AqeKwDIgQ971\nYUrTdHNzM1MKVhwBuhkdHByI1DAej6lAQY6kMLfr16+b2UsvvaQzt1otuj7KwRLLo9/v6yobGxvq\n+GVm4mjJ2KTZsYgMOBa7u7siao9GI92v2ilBcrNggHe7XY1cWJ8nMugzRHD5Cty1gC9P6hPWBBuT\nLGM8IdnvOlu9XtcZRFoBzgV5g9+sp7MMtQfH4zEJADiRMDD9JaADqFy9TjscDpvNJp6ojvSMO6GC\nUCQ8YQF6HnDWfD6nXjC8f/1J1R0hWB4fH/f7fQ2DtmrycnTA0dGRH7me0d7enl85nBxJXIkQW2Un\nMmOeYOlhPZxLv9Q9cs6XVFCUnwRauH5wmqbwaMA2K5UKlTiGwyFFI2EVKdsadg/Py2f3V6tVAdGg\nHboFfL5Lly69/vrr5gjx696V/8YCF4Z5yPw1ykeRqMBOVB566CHAGW2gy9XqRB6Q8SwsIjr+vQV7\nAd9TGQhFs27fvq1cHF5+HZym6e3bt83snXfeUU2B2Wy2vb2tC43H48VioQNarZYvCARC5Xc6oBu1\nurDAJzx37pyZ7e/vq3TWI488ouiOmUnNUCGeXwFA5XI5LidI00LhebA1oUAq8ENpDLh8qBntxQSl\nKI5FMEyhO27TJ4SR6uR3mTRNtfs/9NBDR0dH5vJ+eGqAYL50Fv1lCoUCLZu1aQr5BK3CiAGZVO6X\nRwXRGZrSdLX1JcihGmFbKOWlGe50OtQKUcV0/ZCtmVQBNIeE/ZoqtznXy1izRP0tfpK4JBDASU+X\nR5kpQdCDohbIjbodFdHIh97WZK2BUhYKBUU6zdXyr1QqAkg14FqtBpeVyli0VtGE6Hse0HQ6pRkQ\nvQJU5AzGbL1ev3Dhgpl9+OGHvHHAhj7/D1n/JsqDSlRgJypSD+bi81rEZDVhkMImUL013mqi3CQD\nZQIVpMFeunTp7NmzZnbr1q0bN254O1dxqWvXrqk8+VtvvYUKbLVahUJBqVeU6FYYXNC/rH5eS+6C\nWzOzer2usVEV/vbt29VqFedSAXAzOz4+xkyGTm0ufu4r8RPmyThzpGAnIR1bAzazwWAgda6R1+t1\nCvCziVMgUS7RPDTuIrS2cP18sTYojqdIBuqWrTm3WiKdNKPBYKBB5lyz4yRJuOV8Po9akiuM+WKr\nmbbs5oPBoNFoyLGQztZP0DSdTicfWhbQqqbT6XC/CoLC1Ff+k24c06fg+gvDhSG/glimuVY+Wpn8\ninqAnpSPeOwBtSeDgFVtLnhGwTO50RaChWhiUv2Wq70U9NfpdKo519pj/ieTiSKsvIxKACClJAm5\n2D44V61WpcCKxeK7775rwXD03A0+3NdFizyOjyExBhYlSpQoUU6lRA/sRMWjfzDu5qt9hL3Bbq6v\nkgVGFsQ/z/7y5YsAZGQzbmxstNttWYXen7t165ZgzGazCbYm2Irevng/g8FA/SrFhIS6RsUHrP5e\nr9dsNqlMQQlXSrb70j5Q+T07XE4M5HgZucpipuaWrGzv9snB4t6x3w8PD5W3qyokcM/kjni3T6FE\ncoc9Gx5LHJSMDgA6p6+Cz9PELQDT0/nly/b7fSrfW7DHfUwIz0PBGN87EZ49aBXJ1AtX7H86neo2\nd3Z2Dg4O5M/RhUCQKVgryd15V4QsdeXqLbhZGZc0g3L7pa4j18vUEtLTiuVsFD3hS18aBhzCXLsA\nhdnkZ4/HY2UZ63vcUxLYtTDoDM7qzbBwSQihhgi3xmoRrgh/dTKZbG1tmdnFixf13N9++21wFJ/V\n4L1P5t9DtVE+ukQFdqKydKXetN1oAyWSxDsD4CZ940PfGTKuOU2j+D8RfnJxzp49q9322rVr3W5X\nZ/j5z3/+z//8z2b2la985eDgwJOkKVev1348HkOg0O5JLT7gI+C7jY2NJFQPQrOqToFuWXx6jc1T\nqwlWSUnockSP1KEDUrJ+Uq/Xu92uJ52zb2IB1Ot1qd6zZ8/CVcnAOKh/5h9kTNqLgBk5BoPBgMQ4\n8B+pdqpCaHdrNpsqWKW7IHDIjWeClCB1HkYzZ8R4QIyfUAxJ9SN06c3NTf3q+Ph4Y2ND8chisajo\nnZYTnUWhAqlJja1iehoV4/FhP5Y32zFTunTVkvzIfVoVHBmh02zlWrHC1VneS1ccy6s9nU2lRjTV\nKmBooZEpi4GEOUBIsTnmoZcC+QD+SRH/IxPDg/+C7mE2qXdzmqZKJuHeM8l5CuP5CYzyoBIV2IlK\nGvr8YsdpBXvT0geTLagTb2yyHfgYGCY5YQbeDb3hDz30kJltbW2988472sj6/f63v/1tM3vsscee\neuop7fI+uwVHR9QD9mWpKD8G7TsUMxyNRjKEiWDJBUEvsqGgk9QMhdQr5mc8Hiu00+v1RqORDsby\nVXlDKgONRqNMGS0RInS2fr8vmoC5fHA1hs+HRs+pSwHGaPAuke8x7R0s9kS/LUK7EH3RglGfaRtd\nrVZ9tN/XhyQPj01cnhaekO5dPpM8AD0sfZ5OpyIv1Go1SA3z0GdE7rh3LLRISKfDcbTVIE2GesDq\nTV2PLshKy9AEx1dNZDmpBjTxM1qZEJhMXP6cOW4ntbW0vMVX0suCs6V5FjaATuJtQmq1GsCG91/n\n87mgCE0UdSn1K+XasyAHgwFRVY12a2vr8ccfF/IBamKhU7OFCgPchUV5cIkxsChRokSJciolemAn\nKr4MBCGWxHXAoxqpt3Y9roUdDejhjxePDs8MsAU8rVarXb58WY7OtWvXlBD2r//6rxcvXsyFwlTq\n0GihTaUFyAi6GhEFIH71+wAUSlwHziQUtKUzrypRqQgIZXtyuRxFhHUkVrk4k+o4jFVOWIK7EwJJ\nkhlpPYxWPHJMXUoz1Ot1H1bMOJfyKnAN4bh7viLkb09mgy4vjjWIcRJqEYFxabqg7bFatra2dO/C\nk+GdExOC918qlWq1Gt0XRbu3UENZ1xXn0My63S5epooda/bOnTunZ0FkMeNpgW3mXBdQC96DHJdM\nophwM74sFosaJAEqFoyF2CdrFafWnJO3DKWkSLRQIRUGBkue6KmSATwQCp6hyJm8vULoKuCzF7g1\nenaT1yGAEUefl3QaGotXKpWzZ8/qFVMkEliVVwk0fhnbqXwsiQrsRIWQOEt/NpvRItZcLq0vNl+v\n1wuhMTwEcbKXhO0QWvB5u8TbeD/1q09+8pM6WDWlXnnllX/8x3/8oz/6IzO7ffs2l4buIfWj/Ccz\nO3PmDCAMTW/pDSZNppe8VqtREZx7VL6qMK7BYEALeaF5FoJkmXkol8u5XE4bOsUYfQhB6gfcTwpD\nJQQJp0FhV864hRpXxGDStX5s1Iuy1Z4XSlazAB/R1czbKBC+j4+PyRO3sCnT+ksjxNqwoMbG4zGw\nLT3YzBUSTEMnLTEa2MQnk4nOQ+Ex9YGD465HKRtIB+zt7WV6jliIYPl8LGKQnMocgR5CB6FNkSNY\nh6CFvoSY1/RwasgN9zMp7YWFMQ+lPpeh+JPAQIwJZgnVKwCWxjS6ltrHaCYpkGguFdrHAkViYoWQ\nusAqIjiqGX7++efN7Hvf+55vvODXW6YqWJQHkgghRokSJUqUUynRAztRoWwBzCtlrUIH8CQCmYfl\nchmTUFAVWBPwkefy+VRNSYbIm6ap8jQ/8YlPyJbc39//4Q9/qM5GTz75JFxzXxIChKRcLh8fH2tI\nuCkqdpAPDS2TJBH2SEKryALUedrY2KBSFERkNUdmkEArwKeQG2FzeGIbVra5GhbD4RCuvwU+tAW+\nuwXGGlwy9TY05zIK3wPvhdtpARfa2tqCy9dut9XTUpfWLMnLAZRjwJPJRKa6vvTAL+gZbA7uTiMn\nf5aRc7DomkqQYL0JKRWzBpha/qgmp1arkQIMXCb3C5790jUwY6r5UkQS/Ei8Hz4XQu9Tc9289Fdy\nRUAj4LKbSy3QC0LWv47sdDpAFPL2AOiYEA72XmDBNW6FzKLK93qCTKnILHruvnA2mSpKFYDlIeKM\n+rrt7OyY2XPPPffyyy/D7aQ1AeBzhBA/nkQFdqJC6Yq8K31GG3tfNYfqbcocAnTiDBSs85RxhVJQ\nA7y0XsOBcTWbzSeffNLMer3e3bt3f/CDH5jZlStXAAPpwyLISOCb4EFdGqUliJLLTSYTwDEqN7K7\nKTlJwyBiJOUBEAoRLnW1vfOuEjlbABk8IvpzMMWu/L2jt8Qat0C+B9sBrVq4goRMGjujhe3JQoE+\nbfrSXulqFQwFgQBjuWWCNBrMMlTVU0KbuUJQUh6a6l6vB68PNMzHQUXR1FW4XLlcvnXrlm6z1+vx\nWKHO37x5czgc8liVMSYMjW2XicIg0CwRXlqsNmK2UKySEK+5ZIDMGrOA93I5ny7is0T0JZEk4cms\namLABMb00LUghdiT0uBTRzAFWGaEGNM0rVar5CBShSR1fWd8uZw0JEQSkHv00Ud/+tOfCgCHjamu\nAjyLqMA+hkQFdtJCeRsfvIUEb6G6HYm0yu8hcsDqZ7lr19ZvPSnZuyMELRJXWdXMFMR+7LHH3nrr\nLTVH/+///u/f+I3fIEZCpiemohjzpCfzquONaYTags+cOXPt2jULGwR+DKUIqV5ozl1QjjAFVWlO\ntrm5SaYtrWRwDcXR8LlxFpwbHZC6hvQWNn1NL2Ngj7ZV6jZPjT1rGfKUdbMamG6TwBU7HdEjPXf8\nKhkuypYj1cwXKIKn43dYTHhvSfiBEUnqdrt4gWQp+CBQEuoBkr5tIbWAa+GF42z5dC7P5khc2UN9\nk7rMxbyr5AkNR+4XjBvP+PC0C2YSc6RQKJCK7rk5rHCemhbnIlQsIybqA2MWmrCYi0NDmDIXsGQA\nmhA0Otnf5Ikrv1MPqF6vP/3009/5znfMFdfWB0Yec5k/hsQYWJQoUaJEOZUSPbATFShSeB6yH8Gm\noHQfHByo4FClUgGIyBCCOScJrdTPNhf08lgHwQBzXPNHH310OBzeunXLzH784x8///zzQpCwVeVt\nyMBUcCINtXaIw+G7iMosj+TChQvKMB0MBhsbG1RfVW1ZW6v6ypxYsIj9aQ8PD8mVJlkbhEoUdmjN\nuCO4ZTL/IX+SCQCVPIPh+GglaBWp2bihcnm5xNy1F5FoGhehfybBkiRJNEvKMvbkT12uVqvhTBQK\nBYqsk5arcvIWeN74cB5WJYGasKJ35kDnNjc3WUVAl76UlGckMo0ilHK/MCEt+E9a8Dg3EP+WoaCG\n2IYUv8e5BJGTt4erhKtKNrccd8JsKhJvZo1GAzIneIaeVKYhkYVe27YGRLPOS6WSYAlS7/v9PkWr\nhZnDLSSjudVqwcZ87LHHfvrTn5oZdFC5xZ6iaVEeUKICO2nxJXYsYO5s4qPRCMa26v3s7u5CRFbA\nADiF8AwbRLfb3dzchCmuL9lbbbW/MDDO1tbWlStXFHl+7733vvnNb/7pn/6pmQ0GA6IXfuuBSAKm\ntLGxce/evTS0DKaeQj6fv3z5su6adh4aObCSgCDVsIBCnVstP2iBnEIWEWoY6FLlMMgBImKXuOJb\nngiuLU/pZfAU8q4bAHXwQKgYs84AAJjL5XQ5zZhnH2ieUaja4nlebNYkyantGYuE84iaYSFZCoXK\n7BGsEjmecn8ibqgfG+oHAJZtdzAY9Ho9TS9FPbQ4MWKYapBDHcDkAAJT6MRjdHPXxwAlKj49IS6W\nt88ghJKTusJalGjRhK/zdPwZIPIQeGNF6QAUuR4Qr5imUTMGlK0HIVWH6k1CgyTajOmJaKq73e72\n9vbXvvY1M/vrv/5rGPk+zObB2CgfUaICO1Hx7a9I4OWFkXVPMF8ru9PpVKtVeWN+G8UXIeil0x4e\nHupgC8F2nZ/IGdao5ys2Go1Lly6Z2dWrV3/yk5889thjZvbiiy/i2LElzedzX8oIA3MymWhDOT4+\nRruMx2OF2drt9i9+8QuR7vTa50OdOvYFqBB+W0TliJdB1i1amf6Q3j2tVqv0ndrY2KCjWM7VQ4IK\niGPh+Ro4NFAxmUk0q/ZBjRxNnw9dGVGcBOGYMXw4nQpSpZnVajUKYlGtSk+K9i7UgtrY2MD7ZMY0\nQk31zZs3sWN8HE5sgn6/rzJXFrw9WA/auOGhsMy4I++e8iwwiTyriJWcuHztwWBAKSlmWNOrMxRd\nZ1dsNc2ePNFKpcKkoeEozaVZBTPANpLqxcHi5+YMPt8aFArMYq2AgC94Zi43zjOMSL0XL1RNar7y\nla/8/d//vQX/NUO5ivJAEmNgUaJEiRLlVEr0wE5Uut2u3JQk1G6XdQldiiOXy6V8lzt37nS7XRnU\ninl4ypatptoonKAqTXt7ewQJPHXKVpuzWCBW7e3tmdk777xz7969b33rW2b26KOPKovFXNKMfkVF\nCUFYk8lkPB7jkUDENzP1xnz88ccPDw+FsYh5BVIEQoWD5TmN4iJbcJj4l1qxmOfypQCCyB4bDAae\nEO9xOZ0KDqFwPN0FnekFQIGYeaufmBO8PqUKyGz3pH9KAEuIrKznfmXGxjeeQQ4TdTQa7e7uWvC6\ntDDSNCX0RdFklZ3FC9HPNTNakIKIuU2tk52dnU6ng7+OD7f4Fc1UU1czdz2CJe+H9tmF0EOch5KZ\nIrx8HqucbPLwPDauh6W2q3hI+O4e20xD+RJPgucFUdUufT8YDIBAwU68e8oDUoF/Xiv8NkqiaKgK\nLT/++OPqNHvz5k0cu0UsS/+xJCqwExVeg1arBfEaHFxbgCdfmNne3t6dO3fgNYBWsUdIP4FrFUJz\nll6vR3anZ8/7AAZYf6FQkJ544oknaMbxox/96KWXXrKwicC9NjPBWblcjpbB9H8pl8u9Xk8v+Ww2\noyL4c88998Ybb5jZ4eEhhQTr9ToEllwup/RnYWuoAa7lI2dslIPBQFtwpVI5ODjQGcD3FCDRGMQ0\n8duxhV7S+pUuSoiLLThxvVeYPVSsrAp2HwBD0CFBcz69CZr1IvRC47QiYfM0SecC7xXeKJR4Npsp\nxFWv10kclM6QYbFcLkU9SNMUPFAqWbPXaDRkG7VarXq9rtDXjRs3yGje29vTJUhy0m2iYlGrOZdt\njcKW7mf2fI4w6spPtTkIVytNpSbp4QDbxaumIpukAAAgAElEQVRzNamx1ebLhNY0Bsr2e8Xm8VV6\nebNguItCoUDrAFBQ4ajkNaOS564jEstY1BKBn4VC4ZlnnjGzu3fv0qXInyrKR5cIIUaJEiVKlFMp\n0QM7UYF8hQsigxEWXM51/5MZWKlUNjY2REY/e/asGhObK+QqVwB7ls7IFJVXVDnDB7OQFm2rBeYf\nffRR+F3D4fC//uu/zOx3fud3qFCuAWuQMNSFsWBLUv4KY7bb7Y7H44sXL5rZvXv3aFMJNVHVKDwF\ngAi87FbqRJgZJrmK1vuCwrTakpkshqFuRyYzOBs+02w2E6lB7iBYE9eiR6VQQR4WZZOGw6Hi8/Ij\nM9Orar8U86VKCP5KrVbrdDoCfuXUwquEpY2bLkASjEtrQB4ksGq/39ekLV1148TV15cD1+l0Wq0W\njs6ZM2fkT+/v72swDz/8cLvdFvAr8IDF6WEAwE+wR++Wsd7EtmU8cDR4O7T4fVK5Bf9Mq0WPlTFQ\n6ARIUwkJOHl42+RHi9OvM/BSqM4Wd6Sp42y2ivFyfg3MA6FaWt1uV49DkDikYni88/n83Llzmffd\nF++O8tElKrATlWazqb2S7V6UJ5h4Ps8JGIccLM9IzIf62SL40gjj5s2bUAd1rdlsRo9dH2bzbf0A\nISuVCnGg+XyucvXf/e53P/vZz1L/ho2VXV7ZPJD9CGD4QR4dHekt/cxnPvP222+jjbRfaFvxkS3i\nE9plGo2GNIEFrM9Cp8EktMRchhpLbDdCI32SEJ99UA34rtFoaNIsbKC+VpOmmrv25HvNuTn00lyQ\nxgcp2f2Hw6EUxnA4xAQREsU8ZC6kA4bDoRBClSyxUFyfXIv5fC6tA11T80ncUTe1t7fnc+DotEk4\ns1AoVKtV0VPffPNNjCQ0mSacCNbCtTBmelHYvoVKRoFlgrK2SnTEuvKzmroENQJjylgAb89kI/Al\nK7kQWqhAHVQGCLVssAXzrlIUAKzmh1dAH8iCUFlFBrlYLATnttttTwNm/qMO+xgSFdiJinSJuXqp\nik5RVopmQqlrvFIoFBSrv379OiViW62WghMPP/wwG4qCJd5VshDEZr/wOx1jwI9RcAJjUy//7du3\nv/e9733iE58wV4bYXCVDc92tFLtehGI85CGdO3eON/+LX/yi+iS98sor0kkKmGcMdn32wQl9TkKx\n4H6/zxh0j5rJVqtFL2nY+fV6HQ3HhmUu67nf7y9DgSiKMRKpksxDmw/vjuCNafPieLK1cq6lCH/l\noehLX/WYGcYDINovnST9tLu7C7uBx93r9TTntrp3NxoNpfrxBEul0mg0ktKqVqvXrl1LQgFDzZKi\nOPqsdAW4G56yT6Uu/CcoP9Je981TRnWhJzwpA1UH0Z+Fqs/40Do/x7N6yQpIXKFOc45XPuRfKhcQ\nnW0uGkfcF9+dAUir8VoxJ+gkBUfRcOin6XRKfalut+vvPcqDSpy1KFGiRIlyKiV6YCcq5PNDhfLo\nkKhxmQoaYhXqV+12+/DwkF4nOBmEOnyerAUPQLElzGS+x8AUqIJpWalUZDYeHh5SJv/w8FA+0/PP\nP//QQw9BcuMnFlw68an0GdL/xsYGZfKbzWY+nxeT+Omnn3755ZeZH06Yho6UpIvKjibz1w9VPpyY\n0LpNOsKo0gTcOW5TrDx+hcWt+kDckblYi606Oqmr16A6IzxW6II8CEh3qiUv4l+/3weZBBStVCqw\n0aBKCq3S9zTPNNeIwFeK6v4f9t4k1LLruv9f59y+f229V60alyTbkpvYKLENiQNxF4RDgkliTDBp\nCHgUCBl6HDLLILNkkkACgZBB4jgEDDY2wZ3cxY6EpZJKVaqq1ze3b9+99/wGX/aHde8zpEp//g8K\nzh6Ip1v3nmafffZa67u+67s6HQSKCI8k7kVoooup1+vtdlu/2t/fZ/aKxaJKOBRgaTHcuHHj9ddf\nJ/pkxfoEGKIwVEQouqLniO9FAr+cqFTAI8Q/QlXCUwVSfE4Ost/vq95D0Q/4AUhD4tqTqruKuTCx\n3+9PQ29xPVYCTS7SV00Q9YKO6mWEnUhfFT8hs9lMSAAZAf2KCCwNwt7BSA3YhQ6WKVRpbRBwrEnY\nsOfq7dWWXa/Xu92ukjTiQJvZcDhkaxCMQwkUrzr5sGq1St4YEGbu1KHIflkoojKzVquFEFGz2fzN\n3/xNFY21221Iz7SxUBpcp6hWq8BHmB/ty9plNjc3f+VXfsXMXn755UwmI+zLayHCsFCiYmkTEcd6\nFmQeKZBCQ0EVUbJJJycnm5ubJPABXQE8tYFqqiVBaYHXjuEnOeefEXOu9mNcpNduBx+LF7t86Qjs\n+OJ86/NerwdPB39l7pQpUEiaTCaj0UjMC7Wu9tijLYKQ5DtLpRJFF1yGuWbfApxlI/38k+LytQ2+\nUi12DVDoJS1EmooF8L25KwrEZhQKBVp14xN4Kj+i/nKSWGYg5NlslgIMfisRGVxD3CzwPV05D4jn\njq3y2TuSdjosICSOS6lU0uqVfoemejKZKI1NgyFObel4xJEasAsd5XIZCpN22NhJScn84Puz3dPe\nKZvNbm9vHxwcmIufaC9pi2J95rSRcrmc/Oher6euS/rCec9XBkOnazabUvjt9XrQIo6OjsxMYom1\nWo2KGfavwWCguhlzqWk51EQAZ6EF2snJiT68cuVKs9nU7iZSA+8zCap8Pq/JqVQqvgmIqBDNZlOt\nXsyVwcpQaVp0tdo7OLiS81Goz8UcRkHpWBEeaTmsPrv53EkoaXMkRENu0Vf+zkMxbxzKwL1dHAwG\ndLei5ZgydsgekknNZrOUKhMqqVgeY0aiyJzFxeTUajUKxYhEp6EjzNraGo1vJPNIkpL8H6ESE26L\nsQvxovKRRP9YI8/s4Ajk4fyzmLnGQPgHuVxufX2dlBtohG81N3dlhSTMcFxgLfJfn1FjOcFP0bk2\nNzePj499ShVpAjiT7XZbR2i32xhOguy9vT3vZaYG7B2MdMrSkY50pCMdj+VII7ALHSiQQoUS6xfK\nuIWAA89UPqN+JUYWqJ2+ORwO19bWCMI8IoRPB22v0+n0er2trS3/ZZ8kUM3NrVu39GW55wK19IVi\nsbi3t/cf//EfZvbpT38aYQ6KZkQE173A79c9KlyYzWadTgdQVAmhbDb7xhtvyE1WqATMxUX6VpDA\npOAw9Xp9MBhAQMd/zyw2hVkqVFJkyYdZp2evc1UqFbH1mFK4hUQhXl4oEyTzge8ICi2Q7Ak+yIPi\n14tpqdPxKJMkOTk5IeAbDAaNRsMcZX8wGECbVGaLuAdkEmeflNJsNisWi3rETIhOIYh4Op1SUbe3\ntwfpDkxPcChZK8BP4lSFOz5EW0ovLXHwgDd5QTwiKoYt7Fz9amVlxSPzSFpwYYqPM0F4PgqqNJ7C\n7iP+OI5pesCVAzPGriNPqVQidgeiIL2tQFmouBBgxZH9fv/69etmdu3atW63y/LwZNd0PORIDdhF\nD2Ac0gweKwNa8WwOIB0ZBu34/X5f2710jLTjaIshi8C+TMqhUCj0ej2R8qGP+1/pFPv7+xbaQVko\nmpbO0MrKymw2U/vm4XD4G7/xG2ZWq9XAebRBgBTpj1arhb67UmvXrl0z14X5iSeeODg40NbTbreR\n2pJ51v2yuyWhPlra7dSN6g9z+T+RNTAkcNw5r+4d8nTsuiSTNSmVSro1iYv7BmYWitNpYcNO5/t6\n+KlGTsxnjMzReQ4ODrQ2aGPf7XbJgwqJyoaGy+q5I+hMzIu9vT3sN6r8kRMtjJ0Cuqq/bZEKNJlM\nqFJYXV0VZN3pdEgURa4m2hzsFrkqby4gs9hjhZ94PJNyK6q4fD2yPywALKi4Dou3B3LoXyvfEw4T\nyJr3eU07lwK04DjiX+q8GadKpWY3nJHcJ4CnSjz1sC5duoTb4escUgjxHYx0ytKRjnSkIx2P5Ugj\nsAsdYCw0WRa7D6zDE749lgJSAQeaaGMymXQ6HX1hZWVlHqRRwbgEj0Cum06nKmhdW1uD9EFhtYAg\nvPIodDNaXV1VkGeuAvT4+PjrX/+6mf3ar/3azZs39eVWq9Xr9Qh6xMKK4xjGhzj00Prx32/evKn6\nXAvure4C+I5qa25NYkg43Z6rQrRHr8h8Pp84AXL9BEDPgqYGFzYPksdeqnwwGOhosWsoOhqNdLWq\nUSXAgq4G20K6EoCQWgwiuBOaQKGMXRc3MxNseHp6CiOOB9Tv92u1mtCq6XRaLpfR+FAwofAXf58Q\nJJ/P6wt6ZMTN9Gzc3d1VOO6v3AOAftH6yIzWqV7sI3JaGz4AhZfhKXygkahgCPMUmaVYLAJjmtOk\nJ1xjlMtlCqhtEVdn7dFI1l+hR8KZasBGPSaaa8dxjGqUR+OJ22jUd3x8LOExhZ6sIkvHo4/UgF3o\nyGazbH/nGbSS5AAtgQ3MLm+uSYfedjMrFAogRYeHh9TBeFgfCGs8HufzedkJbYgW9kGUOHK5nFBK\n35AFIE7wnb48Go2ULXvw4MFHPvKRT37yk2bW6/XYm3iZodWZmQ4O951JaDQaQguVGFhKNfk0A9ZF\nfQJJCFlI+VQqFW1zyhKh/kAeDlkj7Y/w38CX2KM1OXBHVVBljkuWy+UocZNpkW/hxVaSJNFOpytn\ng0NzEjMwHo89IKmDqLgCwiGDXXV1dbXf72tK6/U6icNisYhAHyKZrArxJDWlIrjeuHHDzEjt3Llz\nh4qIjOu+yP0qGUb+ibtA8N73aPVJL2+9wHXlXpCsAktE6CRxkiVwNaV8xhFYUfwhjD0O7UkjV1oA\nvx/XR9REnyJlrqjciEMTIl8chkoZ7o4ytSoGiKKIWV1bW2NClqroLB2POFIDdqEjdp1hCYlIigig\nXyps1NvFluc3EZoO47eKsKB3ZjKZ6J30Ukbyo8HltfVr36GoNkkSGRLy4cPhsNls6mXWe8vp9Ks7\nd+5II9HMPvaxj7EFTyYT+fIyHksVprZYuTydTsUuOTo6op0u5WWaOrjaOtdsNiuXywry0MDVLcuK\nSEVXu7lSLKR52Jd9uTGuOjkw7b8+pcc18IDMiSUmSYLp0tD+i9tOZtFCTYK2V9KNFmwM0k0yVGyL\nKysrMs9swehJWjA/mv9yuUy9AUcjHCyXy5cvX7569ao+RAJYj9vMOp0O5lZLi9XrM6b0N+FzSjWU\nOYNRYsF0+RgOzSelsnw8Z8FwYt3nQeuLV0lVGcjpktDyRYFQ2OUD+dIO5p/afGoPIlc0Td8fwl9Z\nL74AbuFlGyl4MLPRaKR3oVKpyIcrl8vFYtFX1Fk6HnGkNj8d6UhHOtLxWI40ArvQcRba9ZLiEoxA\nIxK+CdsNyMIWm4BwBMVqMMWz2azyH5PJRFChyorpu1GpVPSFUqmkI5+ennpti5OTE7VRhjeoOlBO\nHbueL1Dnz87O7t69q3/94Ac/qAAoCcIWcRwjci93OA4SBiSKkE6vVqteadcz4+GzCXxTEkIT1ev1\nyuUymIy8/iiKJKVhiw0MCUPlp9Pk2gvtE+n6alMOEoXiZTHcfIoFxNI/OI+zKTyCKc53LERd09Bw\nGeq5R2WbzaY+r9friuFqtRrK9OPx+NKlS9PQlXhnZ8dCek+nWFlZ+aVf+iULIkwKthR6Qm5UUKvL\nBrZNFrskW+BwAg+AiSF85QXMfIRBBKYIz8s3w1bnSSHCZEEQxJwQVJIklUpFT5CSf3P8Xs0eX+a5\nJK63EctGYDtxLaUjEB1ZhAJ+qRbgbQKmlvI9VNVLly4tBVvvec979vb2iLxTCPEdjNSAXehAncED\nUJ7zzZuGBqDHlGTASJKRWPIsD8+QpsdEFEUf/ehHzeyFF14oFApCMKIoEvF6ZWXlwYMHomPcu3ev\n3W4v0UBGoxHnjV3pD3Yom83SA+zHP/7x3t7eM888Y2Y3b97UNQATmdl4PAbzJL2hT/Th+9///m99\n61vaRMbjMYkitiRqv3wjjEwmI50RC/umPoSMLnvMpobhBM7Vl2X1IargGdiirBE4qmrRzm9DGAwM\nkjmu/NI1+Jow5oRNU+ImOA2QC05OTmjNTPvm1dXV2WxGxy+6w1y/fl36k/1+Xw7KzDXa1tLa3d01\nV2JoTnzdXzAf6gpB6rANpVJJp1Cfbq7cuz6sf3JgNP3RQM8MX00LDII+EOJ4PNZTEy2FigW0bNQQ\n2QKcrs8xivomr5i/YIhUwNc0QNCz1iVVq1XRhcwlJvXc9eVqtVosFnWRquSzwOQ6X9uQjocfqQG7\n0EEViye5Ja41JQVb5Kj5ji2KxVHaok8wD96G6QvXrl176aWX9IX9/f04jpcoamtra71eTxbuU5/6\n1D/90z/96Ec/MrNer4eArN/6caXJGBUKhUajQVvFBw8eqHjotddeUxOWF154AaOipB0cDYpmUBye\nTqfPPPPMnTt3LGQ4dL/oPHkn2nP5CoUCiTpNqYwi3TVRdKSyVVNHzinjWpngs3ObelK+gIk55wFl\nnJgsGSxlVmxR2opSXFuMrbNOVQ+eCOQFHypRQE1GykIZkz5/8OCBuKPXrl3r9XrSl1LRki0S/Pr9\nPsk5Ij+YKVwtWzORFitW5k3eBrE7z5SVAy3IZ6qUc5W6MafjlUlC7aO0H9Ev1j0qkMWRwvz4qBeX\nS/4BmsL8yoIsmS6Aa0M4GztNhJd1Xcpms5m6q1hozapJUAcfC/G6JgfS78bGxuXLlwmRLR2PPtKg\nNR3pSEc60vFYjjQCu+hBDAHtO3aq5IRo8KbA0C24iviSpBbg0ZkDZwqFwuc//3kz297eHg6Hqv2S\nDIeQIjJYZ2dnhUJBkkKdTudzn/vcn/zJn5jZ3/3d333lK1+xEKbg2BJDQMKu1+uXL18WpV7Ai7zj\nvb09QVi3b99+17vepWjsxo0bUBbhdnPxZiaXXBeZz+flriqygVaO7zwajQA8ffCE/DGxrKhxiLoS\nBpHaERrJNUC8Vu2BhToH0j8oMxHP+QcxHo/P92RRROhp/XyfcEdaUObUZoUfknur1Wq6C4nxW4hE\n5eALy1Kwtba2pis/OTkh8kB1zJygcDab7Xa7FOqdL0zMOMkSFif/ZIvwHbJJCo9Yt0loZwyPVGGK\nsDXR/3iIkN3L5bJCNB1fk0N1oM/DiS9K4KUvaAmBCpJ6BD7VSwcgqWo/W6RKkjDLZrOwPYGvxbDl\n6UdB1TqXywHjZzIZxZHHx8eCQMysXq8rc2wuoE/Hw4/UgF3ooP+FTwZQehzH8VLbdVuUqzdHUC4U\nCnrNhO/Bb15fX//0pz9tZi+++KJKUO/duzcej6learVaNBLTYYUl6u1aXV3tdrvaH//4j//4gx/8\noJl9+ctf9oxh/oBMcePGjTiOtbMoJ+d7f5jZ4eHhycmJUMHLly8//fTTauCENLjyT8g4TafT97//\n/Wb2gx/8gGJeMUHMaVzpFjzSBfaleVY6B8AtCmL/2AOVo/qphmfvYVu+DLSFXLowWzI6bPqeEZ4s\nqlVFQaQKTUJWyNnZmabRXBWdT1apxC0KtYCovxcKBTg7nU5H2c3xeEwB9WQyodl0NjSsgTijUjOu\nXBfgq6ZUUed7K9uigrtWL4R+j4SD98KA8FqgEPHxh8yJUVWrVamXmVmr1VKnAgs1+xa49fpV5OpM\nYtfSxYPwFnwFENrEVVjHcTwYDPAb9LiVrAILlcmXDwqJQy3F9QUcBdKZjUYDJ4aWFB6VXfLk0vGQ\nI4UQ05GOdKQjHY/lSCOwCx3lcpmSWKgQpJQ94Y2oK4qizc1NhSalUunFF1988cUXzWx1dVUO5vHx\ncavVUgmweoNB/PO5fXl/kswB4gA2qVQqCtFU+YuormR///Vf//W3fuu3UKMATsxkMgqkLl269MYb\nb5D69tWd4JxRFEnr6Ojo6Oc//7mALCK/lZWVKIrAFUejURLUh9Hwho32CznHiPr4yVRWH0c7dn1E\n8bgrlQrxYuJEjUGHMk7KiBDBsww8GEittC2GVnAEQIkj19fYEyx5cCBymj39qtPpEFt4HSziueFw\nuLm5qUgIXavpdFqtVhU6CBAzF4hoMTDn3C9YNLfJ6VicPAuV+noun77peYzMQxLKvX2ViDlR9kql\nItgwiqJer0c5NsEfwY25kFFrD5HfTFBrY2F4wINoWw+dxx2FChYYRuJS6gs7OztieHa73TiOIfRG\n5wQ+/PTq56ij6Xaq1eq73/3uH/7wh+belHQ80kgN2IUOaEtgSh4EM6dMYWGLFLjxwgsvmNlnPvOZ\nTqdzeHhoZv1+X0i6BCzi0FqCvQPuVqPRQE6p2WwC1FSrVe0mtVqt1+tJlUPpK3o963ra7fZ//ud/\n/v7v/76F7UCnkJSDmQ0Gg4ODA+6IbQ7gRRu3b7WO2LzqkHZ3d9lQtA2RRHnve99rQTtD52WrtUVN\n8cS1BmU34b8e6+NZeG695LJ0g8gxKM+B5hA0RSwcFG0LlHrNKrw1LsnCPuVBUQvbvbdVOpq3KOKC\nW9Be8vAmB6d/Jp0KYEJms9l+vw9/D4ogTsPp6Slr0metgC71Zc+MtWDVBCPHcYy+CQ9FDaY9dV6P\neDQaUaiXcf1WkiTRisrn8+S6eGq6Hp8b1v2Cv82D1qg5iqwSY6Q519fXdWSSkXri6InAcSV7qtyn\nfkVVhhorw3rl1qiaKJfLZE/VfnMpe91qtfyUpjT6dzBSA3ahg1dRKQd9uOQRs9vyx+c//3nFLjs7\nO3iFrVZLW//m5uZsNtMXbty4cXh4uFRIm8vlyuWyPmy329QsT6dTxHOz2axCImnu6RTNZlMmsFAo\nPHjw4K/+6q/M7Etf+hIvdq1Wk9m7ffu2z6DAAsA1Ho1G6EuZaxATOTk4L+1jwX5nMhllztbX1+mJ\nRf5PGyhbAFPqkyLcr6JeSqwUo2j7Y+Oez+eUA5PhNxdvRU5eSL9SlEMejk7BmUUNQHI/NPHyFo5Q\nyRZNMhEn7Txk3fkhAS4Jm2q1SpcpcxEA18CvMk54TFaNzBYXQzbLs42woPP5XJ10tLSQ3MTMYEEt\n2Cc4I0TAqEeWSqV6va4v7O/vQ3fyURoFlNyaiPhJUN2lqswrtPHUVlZWcMvOzs6o5fCFg9w+h5JA\nJd5GFBSuoc7LeqHcJgaN/ABdWLfbRYwqduV9h4eHS2Ub6XikkebA0pGOdKQjHY/lSCOwCx0+7UHe\nxevNACnA671x4wZJqfl8XiwWBb7BKT84OKjX64ob9vb2JIxtZqenp9Qp379/X7S02Wx2eHj44MED\nM2s0GiQJarWapBOiKKrX6xDE5Q4rLJOOw1/8xV/89V//tVzm1dVVXcPp6elSyIJnSmcQX5/reX3E\nEB4Z88kqTZ0iG0AhQgHcZJ0C3M9TJb1DzQ9hGy6FSh7347BEP6gMA76JpY17DhEchHA6nXIKz4jz\naY+lC+PeqRCAvq94HaQOPBNBrF6v55OFOr4uBvkSfTifz3u9nqJwz98DxuROeWqETfOgs2VmwtbU\nqWeJQ6ubpQQb+FrkQ31zc3NT7UXOzs4ODg6gsCugUdDsyaVRUIfRF7RseMQ8bqra/R21Wi0PSAIJ\nUH4+nU55moSPIlhSzA4S6MmWTJRH48kH+9KFedAjTpLkypUrlFGfT+um4/8cqQG70MGO49kN/Gvk\nWhlRKPbSSy/t7+/r5ZGmOAgGbYKbzaY08a5cuRJFEX03ZJOU2tERVlZWRqOR0gzdblen63a76+vr\nMkWqs8kECTjtbmLqK/f2wQ9+8A//8A+/+tWv6mgqLzs5OcGIJkmClDsblnY34Lgo1K4B/mDSbLEb\nNXOys7PzxBNPUDykf1WW6PxeCTpkLtUhw0A5AZnCmVPH908EngKGRHYCo4LB85khT86G5w3fWs4K\np+Z+wdyiKKKBlk+QeAzNp3n4G+pBr9cjo0ZCTqgvO28mSMVTIKVZwrpkgiyhnxnPnidJ1uv1yOxi\n6ROnxoQIlhKx7N3ygdbX10ulklbRwcEB1wbGqPvymCq5YRoAaXXZoiI+nYnK5bJeHBYnnVYwP7hB\nfg0ogcd9YcxQ3AD41R+IlzL5g8FAierxeEwZA5US9Xpd/qstVhCm4+FHasAudEh01VyIkCyqi7If\nZYIA0nw+r1arONS8iujc6D3RC7y3t1coFMRIxNG+detWpVJRprrRaMRxjHKPXOyVlRXRF82s1WrV\najWf5Lew9ehtPzg4+NjHPqa46vT0VBmUarVaKpU8+ws1He1TijwIWbyWMa+uT2KzA5or8Nrd3VXD\nqkwmIyMtQoQuBmvhf6XL9vxJ3RpGwje8mLquJWzWivZ89oIMCqVmvqsZhhPvWz/B2hE+sga0P3pG\noo/MLDBK2FWx2b5qajab6UZ8NMkpRCAkrXgW+mEmjuyKWcL/WIoJuDBvk8ge+aoyHp8MJ/qfqO6u\nrq6Kv9rr9XZ2dqhVj5wcME3RcDv0KKEOslTwIRQC6u6ABKQfxmG5HcyznrsvUONvArt8Pi9TVCgU\ntMb0r7zOSIwOh0M4UJCVlN/Vy+IJSqh2LXlR6XjIkQat6UhHOtKRjsdypBHYhY4oitQ/cHd3F7Fz\nOHsoEplZPp+Xm/ahD33ozTfflHdWqVSSoJdKOZFCMWjTw+Hw9u3bZnb9+nV5x9vb2+12mw4RcAi3\nt7cluSvUkT7ClUpF+k+S0LaAcQmQPD09vXr16mc/+1kz+9u//VtdrX4il7nRaBB8qBeJLRLfzcWa\neNyiwKFM4aFUQoRisShtkatXryJVTkCjsIwACAamhRo4xQ3EsgCPg8EAeQ68b77gSfAKywBCOQK9\nQ30sSMSzpDPEFwiq9Nw5LyCVnyUfw3FfMLYl4KIg20NSvmwAaavZbMZ1ws5XgSDQsecrehal1p6Z\nofpBYhKNdluUomYx1Gq1y5cvK/DKZrMSsVX5hJa6F4XyZV7kohTxkGpVYKeL1DyICgsQSrwFC9ev\nCtEXmSV9uLa21mw2yfCB5ebzed37cDiE7DoajXSKSqVSLpcFDMZxLEqwsgCaqHw+n3VdkwD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2LL3t4esgO82naON5SOhxmpAbvQQQeH1dVVUiA0pOj3+1r0+lCrvNVq0QbQzOA9Z7NZsb9EKgNj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\nesoSo7xgRJycnLx48UKL1/n5uaxap9N5/Pg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"output_type": "display_data"}], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(f0);"]}, {"source": ["The flow is discretized in time using an explicit time-stepping\n", "$$ f^{(\\ell+1)} = f^{(\\ell)} + \\tau \\Delta f^{(\\ell)}. $$\n", "We use finite difference Laplacian\n", "$$ (\\Delta f)_i =\n", " \\frac{1}{h^2}\\pa{\n", " f_{i_1+1,i_2}+f_{i_1-1,i_2}+f_{i_1,i_2+1}+f_{i_1,i_2-1}-4f_j\n", " }$$\n", "where we assume periodic boundary conditions,\n", "and where $h = 1/N$ is the spacial step size."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["h = 1/n;\n", "delta = @(f)1/h^2 * div(grad(f));"]}, {"source": ["The step size $\\tau$ should satisfy\n", "$$ \\tau < \\frac{h^2}{4} $$\n", "for the discretized flow to be stable.\n", "\n", "\n", "The discrete solution $f^{(\\ell)}$ converges to the continuous solution\n", "$f_t$ at time $t = \\tau \\ell$ if both $\\tau \\rightarrow 0$\n", "and $h \\rightarrow 0$ under the condition $\\tau/h^2 < 1/4$.\n", "\n", "\n", "Select a small enough step size."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["tau = .5 * h^2/4;"]}, {"source": ["Final time."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["T = 1e-3;"]}, {"source": ["Number of iterations."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["niter = ceil(T/tau);"]}, {"source": ["Initialize the diffusion at time $t=0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f = f0;"]}, {"source": ["One step of discrete diffusion."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f = f + tau * delta(f);"]}, {"source": ["__Exercise 1__\n", "\n", "Compute the solution to the heat equation."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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NE/Ss63q9XiFXGo3pflUsaNjhcDidTuqxIugREU1t44KVMhhgUdlUBT4dxGAR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\n", "output_type": "display_data"}], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Explicit Solution using Convolution\n", "-----------------------------------\n", "The solution to the heat equation can be computed using a convolution\n", "$$ \\forall t>0, \\quad f_t = f_0 \\star h_t $$\n", "where $\\star$ denotes the convolution of continuous functions\n", "$$ f \\star h(x) = \\int_{\\RR^2} f(y) g(x-y) d y $$\n", "and $h_t$ is a Gaussian kernel of width $\\sqrt{t}$\n", "$$ h_t(x) = \\frac{1}{4 \\pi t} e^{ -\\frac{\\norm{x}^2}{4t} } $$\n", "\n", "\n", "One can thus approximate the solution using a discrete convolution.\n", "Convolutions can be computed in $O(N\\log(N))$ operations using the FFT, since\n", "$$ g = f \\star h \\qarrq \\forall \\om, \\quad \\hat g(\\om) = \\hat f(\\om) \\hat h(\\om). $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["cconv = @(f,h)real(ifft2(fft2(f).*fft2(h)));"]}, {"source": ["Define a discrete Gaussian blurring kernel of width $\\sqrt{t}$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["t = [0:n/2 -n/2+1:-1];\n", "[X2,X1] = meshgrid(t,t);\n", "normalize = @(h)h/sum(h(:));\n", "h = @(t)normalize( exp( -(X1.^2+X2.^2)/(4*t) ) );"]}, {"source": ["Define blurring operator."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["heat = @(f, t)cconv(f,h(t));"]}, {"source": ["Example of blurring."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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B+tyyXZgh7f/lMfa/HO1CbDQajca3RFtgF8W63WQW90vjplSuR7ZLXoy8Q8t2\nawY57RAhiLFVosUK5KTEneIavSi55fQ7Z7ds90tdKGzMg9HLFgtT9mOrno/MDmlzUdtFPS+b9yRG\ndqRYSzHQyvnmso3YllzCzKCRvysG/SslLIvH9hnveQazSUrLJguXJ7ZnGec4FDMlNxvjUcTGX2yt\nrnwYsUJ4Kwa9iWqe40J0C4ztyLJV+a2ybcsubpyPJrCLAsIUWygJUbEwlRf9r3xmcr1u4xWXo39P\ndijHK3MXikh5JzCRvKjmPKSw5MtSiAt5Qy4s222rcJ9pT5yunMVJCS4ir6zLvGpOXXNpNfoVVfOA\nNy+kVHBZlpLAZFJwxPGxbWq8lQTG2o8w/W67C4wfWyy+TXZvMlG5l1I6COPt9fU1lxu+vb1hv83D\n4IiAOatxyzMVoRHkQ5BOQbt5aqB5VgWaw76AJrCLgtmFpSqfqzRBKaEyJgL/lkaYfGlib+XHU3KM\nU+NSWWCc6eFw4LMwThKYcFhs5QUXckRgrvAKBaJgi620lbeWwU56IpcnKOmqFIvnY6RASBNNWLbs\nNV44sVSGHTemR1tkLm9vb3zcD4+o2BIYb2fFphgi5ksCK+vixctnMuY+CYwXzsvWZa5h8M1JsH7Q\np+SdgoddTVloFo25EEx2sKPDG+egm6zRaDQa3xJtgV0UC21vg4sdbTDhr7B6KC9ysm67lDd3210Y\n3JURWw13lJdnEaT782kp0HwX2vyirM5In/V2WLdrtH3PJ8nLPUVl43iOkxRKiwqvhDmFSnuCm5pb\nUm5yjdhbVSbLZdgdozHZbmP33W67Pte3E+N82QGI1n59fUVTwzGOlRLpHiw3FHaXwO7UfhaxNV98\nSKdLM+fA9vs9+xJ5KbT0HXfryN8onRX2tXpH8GPyiteRZxMb56MJ7KLAkOVvgxctjVzh5RfFTg8I\nTZFZsZ1Il0hl3s0ID6/TnQ9LAuPy5KcoBBZb0QNJhzK453PEYUGzCHkxmTxnZj3QgSBlHf0Vaagd\nrebhvpBGcAJzvkFTe01ddvsdEZcjZuUS8hhIn16+sow9hEx7u+2hPHAbXl9fZy552oD0ZrIX5lz9\npJ5yCHmncDvIBJ4wuoSHoGBOYGWvfRwRtJvlSZWFB8NazT1zdv6FBp2g1vgUmsAuCh6j/D14mBwP\nblcY5d9SqiKp3XbBCoQIHmbJLgKlvFmCRQATGMtQTk0KfOYkNrN+HLV+tCqHJEC6SbgaN7IULKqp\nF2ne0WpTpj3o8vLr6C3RCcqCcalY40FrjAgMyUKy40C4hbMb2xgAACAASURBVJSV3XZjJC5MSWA5\nnLKds6YZPbEe56JAYByjIbadtIYM7JGqIfTDNBy0exang0LKsjae88PoRfTHyQXUMjDkAadbqTt3\nIs9MN85HN1mj0Wg0viXaArsoRr4gnwNjLVjsKnl33boQPZwpdVJEgpXnnnAJ+dr1x5ExgUKKE8Yt\nQrbApBZiWIyygxnEEZilxyZLPvezzfOaeOdGncI6eFAzTrIb1cJr7XWMaosKuPiWo4cQc1H7/T5n\niZZlOWz3G/OYUjENpUY5lnC4we3tbdYdG7vk2EOy0lBhJu9JK3y1TV52dOC1fEHZCDBxYvuhsU91\nOa47TAsMk2c4ghUboR3oeOig0bvSvh5cBu4FCfLk5nUXeuMcNIH98xC3GHCmS4E/nkO1r7bMz/Mc\nmIhaXMtsPy+DLQmYpbyvPOWUw2Q0KHz0AZfECUmUXkQ0lyxIEDJgSTdv3pGnqCwkS3nuTRf9XhFv\nkLIwEvkilOAsCyHLBAamSQG9riv7eL3uwi7Iguu7ow3vc4F8UBDHsnWdTSoo2Y2UicXWe6zmGfbx\nD6WN240XqKElcwYXgfh5AFBWgZdsx5YXpd34wmdPR7VrAvsC2oXYaDQajW+JtsAuCnHIALBCJq/w\nndh6Klj7hiuJnUjLdr6aH46tZ0OipXnSnuMYkQ4nhVqIO4uLHVuDQ1Jgk8JbTIy2OAZxsBNGHhbF\nHNlxbKTnJeBCur1SPo/iTZLl4o3sMzYmUIurqys2AvAk2lyC42MbTIGuzAgXNAW3A8J8UB42kcWq\nhkGTFl5smzdoeJ/Tep81RCYWpBcygTZBeCSMsLRKYaqW+/d7aCIPaY6wlVLJHU6zza+voQns/0dY\nqyC3kQemHP3uSuLEkUW5UIndhggbg8grCUykG0v5UlSxWwkv8luTaEyWEZxXOf9X0pIIU29GKaRX\nJy+QDje76yVMlqxAjIS4l0T4qVR9PDtODQTGG16w/sGqBsomMzeeBfcUbnL4H0qSv6aP90z6n6BU\nBU6mudA8aBwDMsP0M+4g32uNC5++RM6XVYHlOJ3G3zI3r1RhpLs0zkET2EUxtyf431JoxngGRV4X\nrDRJNjKPIPJYVXcC42U3y3als5R8VE6oulyddXvuiTOrMJzTXsbTOzM57cVWBPuT3nonq8YtiWsu\nzEQ8TcogHBbbmAVU09mLY9/zJuQ1kjrQpl+JCcsK/YOTDscVuNlrHDeBB7ip53xzjhCfE/nJ55nU\nOWhFpseCiPxQ7Y7G/DTqX+EwXJSDswnsC+g5sEaj0Wh8S7QFdlFw5C7rca6WnvS3iO4G3Znvc1Iw\nUw624jK2fhWOufd9xHmqyctclg2FQSjzQl5EWABrFQzNivNK0eHsy8pnDrSoWTRcD7yc+PHcXAuy\nPDjleQeJG82nGz3rUQpyk1P2m2xPoNey6aRqbI7LfSQl+WIU4T6ssZz7kbHnLvH/53bG+UZbHG1T\nj8iVh5dj6GZOhuX2VBlSj3h6/0JLW0q+slFey6mw2EaJJrCLAtzAu8aVjAK4C1FG/LJdpLWrNulh\nKXPYbkYQ2zh73rxOpv3Z31JKDfATRIMQGNyGzCh4i9nFs1hsRRfeYu8otpjiAnB2In08L2m99Yg4\nQ6vwvosty65b7yjnJaLf0+ExID9Jamh/dpf5QohsMedpoXluBxASmpHnIGVcORaaB5o8U96XhpIG\n8TYZsYvP4Ppb8onxhlg3Nzflp/SFQcLVYWdv43w0gV0U+/0ekwc5cHOXtpFOJxBJx0LKhRe+z9Ui\nHZAaz/DzdJcQ2BWd1yfBflw8FmpImavmsntH+8JJ9UVqc4FLYeERibEVbbwWZznOtAeRKBdMBCLP\n4oxiHMo7YREu5cOlXA6SqhOx7sk6gWUded0uMjpJYLAdDxRoyi3jop8TZFYbVWRC3t4m5/9UPlyO\n3nU7rSgtkxPDsMaw0ZScFiRdvJDKxflCF+ROR8BU41Noo7XRaDQa3xLN+RcFFsqwIx6bhx4GW2Uz\n2OfAWjbMgtJDsh5DmXl7+KvtSYN85gVvHx7b0Hkx+DgX9i/li9jUNZ8s/V3+gJtr8hb7EoMMhYU2\nBOJkxQgLsml4JlKqAzVcDD42GWNrPYyKzSl4Fm5+sWMKF2Wbe5PyeODRIosiYmtMS3uiSTkSz2t3\n0mfgpqG4Gcs2/yw4kdKnV1q3XEjU9LBdW8IfCzbiwkbVCE2UdoDVKyVkH4YUpi2wr6Gb7KLY7/cy\nu87euXRKlF84X7tsEkaRB/L75M0J4crAN3l7e4vFm/v9XghMZKK4E+MozTG3L/yRN0tJt5BXUB6e\neM+WrS+RZZZ4Spdl4b0fF3NCjgrGeZUENipYmJTMVziIw58XOe4FO/mAPOntD52JlZW3tzfxCoZF\n05SFHGUtZZvoImU7eFJeBs9LIDQc1Flc7JXchjs6k4/ryA9gxyw+bCUTfH9/l8+2LLl7DtkZ2wT2\nBbQLsdFoNBrfEs35FwVOpOVdAMS4wbQwdDdx38n8vGjc7qBI28hjnTEvfXtERKT55XsOsf5YHhy1\nriscoWL8xTZcUJR3VI1V9bl5xNYnHuAs5JRLDrsQXT5LXroQHaUFxo5EsTZKT+BqseaiqkuO/Iw/\ngMdK64RLG7SFUvZ7mmJlIZEyXGrSQQ6puJd89FZpL45S9vuTXivLgLLxwnlZRC9NsdIa7ZubGw+5\n2tEKeimYf5hckrlF2ziJJrCLgj2HZYAfzj7nb2/ZRszzdWy/jWUchVjOgbEL0QmMiUpIVDYlWiio\n7+3tbaHddHDBe8SVEoenW1giiCeNL5ZtoFeQxAEnyQNOYEj8pL+LZVYQdS3jrSvkRcliREvMOlJy\nb5N5vpO5zzxXhWcupc1Xis886TOcYE57JwlM0imZHoWcM4G4c92F6M/jGvTP5ckP4fX1VQ4f59pJ\nNZGszL+Ke7lxDprALgpIfNkwF98Gn32OtzD0xRLy71nEQb7Oi09BkPkAgjhwFkYSGM/PSb5iBSIX\nGHkL2TR5OnMcl386FS3bUAgXlyxVywaRh/E65MKhOqhFJAsThkhAvskceT5YqWcbbs5eXmBJcJ4j\nd3ocj7mCbgTrH6uamFlZELOhuZzaza/E6C38uhvEBJVZ8DPCB1z9sk3kQgbGPFlc8yIELDjJZc6T\nM/DCelDKcKYq0BA05zcajUbjW6ItsIuC7Zi8kxHnqRGnS8cDc0tHxEmVbaU5J7aE2AiD5ceRaRxm\n7VbXUkUh8hRLbC0AtsC4HcpawK5ifVnMglGTpr/LXYg8i+N5idZ/0rrygk3gKY/Snxgf82KM8pIt\nM/KQRkxS5k87OjrncITkMjK2JkatF29StV11CE5ZwZMFODNftoB3dkzzMt4hDKlhhvhwOKTf4vX1\nFec489nN5evrds71ZL6NCZrALgqIfo7thiMi2WWyK8eIwFiqQgxxaC/mwJjAMMPBZ22wS5NLWxIY\nCrMOTsXlObDDdqshkVkuKEuhxtNOQUInttMYeDLzPSl2szq8hqGcfxqJmPNFD7sQy0TWbRCBKy7l\nW8s27sCnvl6PiK0ysZBH+swqxLZTyneXqdswiBq5/Ud1lO6TAXPSfyhprlXoBK94i6q78Ypob/lM\nHnKdxAZFgWfFSgfsyIfZOB/tQmw0Go3Gt0RbYBfFQpu+Q+tkc4FD9eYWWFRGWKaQCmBGA8ZW689f\nxZXEO71yXIaYQW4SSdnkLSnYSQusVLR3480Sy8aRfFdaXs3PcEl22w3rJNZ/3QYNzu2nsk0kFsD1\nejcRJlWTOnJFylGU1U8HF/ZTZzf1xLcp+XJnSRW8FnObdTK0xKZ0E80zEoO1zI7/nffgMvDmYUDK\nSpg4Ot7xBcHSlc0SPaMYjIHGmWgCuyg4GB1bgy9ViFqMBVlJJEgB/PT6+orPPiVXbOfDIOYW8wqW\nHzz7W6QMK23qigRjLG3Fg+T5uoj0hgoTAXiLiyoPuKTATZ57K9tfJH75QJhI8saccEZZMJdxkoIU\n7EC77kKbwcCQsxnnCpNUpJS2XtOSUdbtjJr3GicuIwQd5I1Q5uu5nwT3nafgy1fyE8b8K6ukeZEa\nw5mhiU1gX0MT2EWxmLt/9E3GgMA85lheBz/xtFauU8nr9bjimPdgjEqgMMp435ME5ovSvI6lnPIs\ndrSQloX1slXVRX9H2fJ6NzhKA2KIazQiML9epuvAdrQL/kmUUj6sAZ0ChcDy5oG2EIM1wGcK8yQl\nV8c7ZSTZyzujBnEhzll4IniAv5pJS56kAXm3VDj8TtkO/G+Oc/8wl6PumG0+scbOKXzD0XNgjUaj\n0fiWaAvsn0Fp6IysH36AnZClzXQ4HGTT8YxyTGMrFfy8fn5+fnp6ioiXlxcPc4+B1u9FQr4e2yaO\nl8lmB1kwhDV7SNhCWxXIph6TRoMnzVPz1hNrgFPgRhh5Dr1N5qU6H5M6ujrPf8XAwjW7ELnXSsvD\ni3HSGuObo8aZG3l8E6NolOw5jVPCayph/fyr3OTEeW2Mf6F4Xt4Vx29bYF9AE9hFweOVnV0L+f1L\n6YCbu+2uUWEimCeZQWC5wiyO+8Sn/Hp+fv79+3dE/P79++7uLkP54crn3FH42DIZ58s3Za/9OMa4\nw1M3ogFxZsZWkDnrrNvw/VIEIKPDeD94XM9TEIkzdyHGQNhNnI3z+5O+WLYuU39AvIXsS0QKO9us\nj/N1mV4+WfrovArelZ4dj3NcnxT08x4su9uXOXo1vZzrdgdFXxyJIRrHjuCo+rBTyCeVaozQBHZR\nuPg7VBsdxRkmQnmT74PJ0gJDBBpk1vPz869fvyLi/v7+9vY2CYw/5k8BhMoxjXyx0sJqbwf+yxVk\n1dvrjlaNqQ4rHBbbJdhzAep8ACJ08uAUYis3R6aSvOKtOvl1JPWEt3DBawHDjGbE1J2Uqid57uSL\nYqZMiM0fmMj6OXt5UdlPICEYo9SiGgxL5RpJsNWLxuGbuP7CR9foJms0Go3Gt0RbYBcF+3lYkXdF\n+6SBVUK0YI7xTXfi+/s7NiB/e3tLF+Kff/653++xAz37/Sa5xFZNDorlw/QbLy9DaqU7RS5W2gfd\nq8wNctL3Ujq1xPk2MTgW2+TCbcd5p5S5n/k8F6M0bthm5YLBAsN0Fwwvjqdnk5TT9N6Rf8uxeg7E\n0PHhLeaRPOBNN7Khy4djO2hLC4yzm4PHALuysTNcHPdTzs2UxQLL9pfTJxqfQhPYpSEjNcc9brL/\nAQvF+ObJD5i9NLgpk1LpTjwcDi8vLxHx69cvnMLMSzJ5aUtUvCV+HnzMHD+CpDi2G8XDZ89iN4g2\nwGQnZcqZTFa6Lj2RkjCEG5iSzy+J0OG8zI6ScTkdCMegJV/vRwQRWPqTXTealLBUJsqfSsedk4cM\nXRlRQR0hOZYF4yfLxsnUJMKIg+BlAqzUrrhxMBgW8z3mcUW5WWLuRZmf20obfcl2U9H4JNqF2Gg0\nGo1vibbALoq12khUdHxopm4N+POebAwCxtwriG0CMpojVcW7u7vb21uc2Osuo1JNZgss4/gllP/q\n6oo3/ihrwdVZbc0y/JNhlkHZkgxvPTFiRn9HxZOk5r0zSoHLgOvlVKDdyG7j+2t1GkCeWRW0gJ2P\n5xY3nbfzSpv9Az7SJtVfqnMM3AKT2FopmGdxprsPqYnhNcqX3xo1eGy7EgEd+Chw+PXb2xuO2cNb\n2TvyVuNTaAL7Z8AeKhYTC+0lwSIbv3Ii5VuSi2QnD0C6IaT+4eHh4eHh/v4+IpLSPIU5ga3riv31\n5XBn9pZMqIj/ivAqX3eWFZSNw86fsjBcd+fI8uGSVkflQQoSTl3WQvJ1luWbHnBYElieV1B66rhg\n3AiTppYB5uOWR07JE+UDXxDrE5bl6a4yErJshzL9xSJLfRTxoeeYZoYewKGhC3kgG+ejCezSmCu8\ncTQ1EHSbch+6W4l1u5LMcyzpBzgcDm9vb7mo+fHx8enp6cePHxHx/v6e+iPrrZKaz2Rk+D7Oes4P\n+Pr6ms8h869dNovDfYgJ4ciSwCYN7i3m10IknmxWXMhDHhsVxiX7SusKeC4QD8vAYH6STYnyedYP\nOHYjjkcGg8CwKHBEYKOGkiUEUrVRrSdjzx8YJVWmHGPKlycnEfMypEfpnKknCc0joCMREdfX1+hf\nzIEtU+O1MUJzfqPRaDS+JdoCuyhcb3UVm9eWhoVIhSmAnE6c0hMlhbxIV1Jq5U9PT4+Pj8/PzxHx\n8PDAYdbseJEUJK/0/kfEzc1Nap25Mzce401m3QITL5kblystBWWFd1R3dwq5PST5Ck5aJ3NMsovt\nqZts5C00rSh198bha95rgzduxmL2kQtRLCEZWrKXCqomTcpV5p8mWUwssDMNLG5elI2dcpOAw4n1\nOTHHPWt3D8QxljjDEe/u7iKCfYlBQbnlRmuNOZrALgr/EuTL4QcggyS0d/7VQcrgwmWEz1cfjudu\nPD8/pxcxIl5eXnIyLMjfsqs2HHLqzYdlMiw/5hSjLLvDRI+QmZRWhIVIc7kWKSNCuaxIjGUWP8ll\nniS7bONxPIVsBOYGT40LJu7WMlkP4pD5sNgSWDk5VCYe204RDWM+vEsCmytDZ8JbXj4ZdhuWZZhU\n83xNxd/KZK+vr29vb/Nrur+/f3x8jIinpycf0o1PoQnsouCtfUohJXp0GIHx58cKJn8zMlEhOiyv\nVkFeKdoi4u3tLTksIp6fn/NovtQcXb544eNoFeVjPBnGJ/5FJSPkAxYyK39dt0tumSdYwuKtuYQd\nZVRyIbf2l6ff3Y5kSl4GwSNiozt48PiSo8N2M19ZvcTXo77mmyefKXliQh6S2jIOy8ToLftUsjg5\n3VW2uQ+J0esxHdK73W6/3+d3dH9/z6YYHy7qdWzM0XNgjUaj0fiWaAvsolhp8oa9B/JMXiA8CeZR\nbB0jvGKMrR+2w2KrVMJfxBmllw8Fe319zTmwp6entMDe3t72+73YW2FGEjsDkZHviJ/zMTACXF0t\nlfrS2mN7ZYRDdTjL3CwL04jdCOMylFlM4D0O01ys6kyKG1ZmStwRt1Zh9OXhy9J6C23HzKsGvYNi\n28t8XbYYmyziPxBrZtSVZV+UBePsSqtrYkKFjWTPd/RWaZAhhQzNzfng+/t7LFPBLts9AfY1NIFd\nFOsxvlnklERF434cqY4Xi/AWU3H8ovABcGAup1auKoPAQsGWZUkOCzow7P7+fr/fl74mhvugUNr9\nfi/ClL1ncdz6qEzTOewkga1V6Mey3eznpMfGqyl3OMKFl6OWAr2E10JqxBc+SNhLjPvJXrKV1KE6\nL3uh1RHp7EVwAcZY0Dict1gpxIUwygAKzmjeL4stvZJrzk4WfnB5JoVHe8aANaNiMq+Ll3C322FN\nWK6wzP3bsEnpqNaNCdqF2Gg0Go1vibbALgpoymJwsB49UvPjqOmzshm0528+A6ccrJyrq6u0q+Ko\nBUsKqXGz/pj64MvLS1pgv3//xkrq3BFHPFeijXLZUsHc7/elCi+OOFwjBWkQ8e2M7BUxgzhSWezI\nkb5/0kRjiwepsU08UupHjQCTdGc7NvEDMkhQHR5asl0vCsOh5HHcYZlPbkOUDS7QDuyEjDPsSzd6\n3JUXNnJK01lSKxuH85JYSrHA+EW+OekgLuo5IcGjXDw0V/bLbnwWTWAXxUobpuWdpXKRCTBh9vHx\ngW3dVwqAxvdzoI2RsJdHbL+0g21AviwLH8S80JHNf//9dxylZMrE+/t72SAqth9wyl8IkXwSP8V2\nLQ63DNPSqAHx1oQLY0seXrZR4qOsR8KFOaz00J7sWX6gpGT8yusNUDvWS9BrHDHPm50v5DHOTmFW\nE/krk2ERsdvtmA7L6niLOaN4Y3KfLpUDVl4pNQ80yChMdwJOSkYgjxzhKl8Q6ZQsQ1qS5Q/Biblx\nDprALg1R9EYim/kptue64pqZjD+edTvbzxKBrRCnMfwLAss7eZpRHgbx+vr68PAAJz4vyRTxHUfr\nMI7ShHf4ZdMB1fHJ81KQsXruHCD3IchKbvBE5GIEZi8u5ChgpFTw8cCcwKRxuAzc17xrFM5c9naA\npcXGPWcBqQqqQ1GR7KhZfFCJmSI0IP27bs1WTzasj2R4j1azndSNPH1hLy95WYvY9jUrEBP6b/b6\nGnoOrNFoNBrfEm2BXRSfUgATPCmSFlhqwTxjwe+KLo9E0qjKgEN3Y7IKiYdzUXNEPD09/f79O1c3\n/+tf/3p7e/v58ydnwRYVL2RejpuZpucTG/tiFm3dLrn1hb3nO50mLewrCqS+k3eRiz/gxp+Hwp9M\nOazXDrbI3S0w2OVsw/GmGwg+RMXZlZedwuGgPCmL8rMFFtRZ3Dv4tXT0cb6lBRbT3pS3pM35dba6\n/sNZJf8uTpacwaOFhxYcG+U4bwvsa2gCuzT8M2D4OGZHRH4DKafKr/pQ7ae+0gxKXsCl5mU4HA4+\ng3J1dXV7e5vnrTw/P7+9vXkwBXMSyiMRExxUwpQc5h3l9WGlpMMdJss5kwlPeLNzySVTvy+SFNTF\niTikhNxiXAZ0NxIvXYjwSgVtBpbsxdQVWxG8GxyCU1YWD6/rmpvChLkQvYM4r90Zp5bgLW/nc55Z\ntvEp/u6n6OFMApsQJA9dVhZZVwsb819m3P/NaAK7KOTDxn0e8SJM+YstBYfo7AcL9mP5mHKw/J7x\ndeHs85eXl1xlGRE3NzcZkQj2kpLzeX1cwnK9KpZFH2hbo5FmKtLcs5C2DeMJbgdPgRuHb7JAmacs\nSY1ykQvpWci4UqsYERj+hWYD7o+xCHZxLyTqo3RkeYhAdynP67Fk+VfQGJamFsWl1F1wMVry9R/y\nltd01KRSNv6Xb2Kqkk0xnsk+v7SNRM+BNRqNRuNboi2wi2KhSDDoceI+wsMjDU6wbrcyOthiHVES\nXdvlMuRW5WlsPT09pSmWBlYq+Os2MB02U4bXx9iNg+xyDiYfvru7Y7ch7y8Fq4jbgT1dZduKmbJu\n4xW5qcs2GRl5E13e9e7RTNjkRa6vK/VsgXnZkCm2hfXc122oKltgEikaW8NL7FcfUe5b42t3G3oK\nJSSp0lDDMxJ56OadGHCTwVkaiHJRLjzgpNh5wJ+2WGCjAdk4H01gF8WOloiyjBB3GWMkH/lOrg+L\nrasdEEeHg3/NqZTcSurl5QUEhkl+Lrk4AHOHt/1+z5vp+ZeZIiAJjIlQlt+CUPGAO9y8dpCb7udM\nHvLJoZEC8Sk4BZa+vlH66zayRhJZaRZT3mICY8VFhCwL0IVW1OKZHD9Y58D9ksmyVsEpywIp4Ui5\n6ewyapPySfmX83IS9efLfz3NMgXn6UlGrnawV5znd8v6Ns5HuxAbjUaj8S3RFthFAdMEF+xGONA+\nGkDpnYht8DcUPdFb/ZpXeiIQf9keucSh1dAfIyLNsgymx6YPvsH8w8NDGmFxjNoPcyXJfudxXCvN\nqXnMwmF7arM0ESoYWxONX2Ejht9yC0w6YqIds1eq9EZ6n8q7fO21Dgu9WbaxbZ4dml3qDmMLbcW7\ncgTZYRicGAMe2RjHcVUaWx4n4obypCVl9LrlJ3mNrCLB3PySfMvHTtZCauQWGL/uH2PjU2gCuyjE\nWR9HYcTf5+QbE4HFseyYd2Gu4q3tsP3afr/PYx2wI9SyLHBrJLW4lz+jE+Mo1MA0eZNDt3M+DFng\nsyz9PMuyZMHywPX0WOZBmr6Nuot7vuZk2ckZxE9BxF82aWyZwPMagb2UyLqcBhulzxqJTEGJ+HN3\nFot+j26N42jBePDWy/SFfjJfFsFS8sUiAKVg8ndCD6OqeVtxYGSMd6ia5/Kpn0bpe4OMHohto0FR\nwAkAQdvWNM5HE9hFIXHJYbPra7Xsaf5xrtv1kpwFlDuQ1t3d3e3tbW4EBXZZluX9/R2LW19eXjAX\nkkSV9AZNHLwFm0lc/O/v7zjxKPNd15VnVoKkD+ZjcMzE3d3d6+urB4WzqYo70hojDuPXg0y0M0XP\nRFRN6G3OfOWvYoW7aTjCQpaQR/QcDgdebJ4QqpMJm5iG7zPVzQlMOl0acGTmypOso8yzONlKo9w/\n++7ogRFp8es4pjxxZvoNR8+BNRqNRuNboi2wi8KVytEDI90ttn4hTxb/cqj63d3dw8MDru/u7mLr\n33t/f8fWvYhCfH19TQMr4wPZ+caWWWynOjKeMB/A4bN8oDObCCutmcUxE2kvwjlZekonIXmj1mMP\n4VpFhJeNKT99yqg6X8Hn8pRlLvsa5WE3mhwswPWFHePLfjOgNHttPQad8rwX5y7WnltgXs5RyQU+\n2st3wzZ5mTTpBG4zzZ9Eyn6fL3yoi6MF/nxYYIfeieNLaAK7NGSiJYFvEqLqHA+Jf0g8LZ+zShHx\ncERE3N/fpxcxtgT28fGRN7MMciA9Exj/XZYl83p6ekLgxuFwwNb1P378SB56eHjgSTLZOzEvdsft\n6vdHhC2awSuYpImK0blZwHZlbD3PHnmPlGmeDyHL898qSdeLJ5ztq7jiKOi5wTGiuA1j62st5734\nRSYw3CzHqigTZVO4wsEX/Heimsh1SaX+vP80p14pthdMdBFudjQ4K2o4kfk/GWn/a9EE9g9jpJay\nsGDZNBcByQGYSUrr5/7+/uHhIcksJ6WSG3JT3ThKdr4pouFAmwjzbD/Wgb2/v7+8vORmieu68i7A\nue3vy8vLw8MDT4z5OZwcJofJbT77g+XyhJPChBf+RfzCSVPpfBNtInc8VtBzQZqsuJTFK42AkzaE\nTIjGQNoGRZ8eqs3GWBxPCMwLIFLeCyyfAB6eTK2N8AVd4ZxETuZ7kuFi22h8rhAOJHKnQuMkeg6s\n0Wg0Gt8SbYFdFKWrJAZqPi8QYZWNj3vH83j45uYGFhisLrjaMykJV8ubOOsEWYgpBn/dwc50Xtc1\njbCIOBwOr6+vsMDYFMM8XBaJs0i/JZ+XCL2etX63POZ+JGl2xuT5T2H07rINJiztJ75zspCcsj8A\nF2upyEv8IZtBCC6VzZTxJJtEYoHtBjtFjUIWy3HOnh5zawAAIABJREFUdee1FictMO/BZRAv+rW+\nPvmRjm6WnoAyPBgf4+7UWeGNEk1gF4U7YcpnYutnQOB7XqSvj5ch40tLHsoH9vs9NidkKY8pLv5g\n2GXnBLbQJkzpIVy28QLLsuTUV2yPb355ecGuVM/PzzwPh3lsTiEJLINHvJDcRC6wUMF5+09+FTj9\nlDQzynFSsNGc1iTBkw+IK9V53VNY7ZwdmVMU8jiHwMqSTwhAHpgTWNkm7F/9lAvxJGFwvqWeJHwp\n3mkuCUc5STN6QE3jfLQLsdFoNBrfEm2BXRRzC4x1SQ6Cf3h4+PHjRxzjCRFDiH00kFq+BVtqOYZa\nIK49g/qQEWvcSGFnG/Os281kn56e8hXYasglr3e7HZYhI8oDfsV0IXogyUrbdfMeH6U7y11VE8wt\nnvmT82DFSRkOdrBymWZ8Mk5B0imNG09kVPJDdR4bns902OHMhldsbabYWsaTwoweEHsO+ZZ1l7xG\nFvkEo4fd8Cr7kaOZwiyzmI4ZzugL/d4AmsAuChcBCZfRILD7+/s//vjjX//6V0TkNFLObCEAd7fb\n8RaLvAwoZVM69DDVwS5EP4Bjoa3iHx4eeIIED4OfmIaZ4dyhn5NkyUnPz89wbzKBoSQHOlql3Ani\nJD4751H2xfk5nulFDKMuLkDpSvLrcwIUSxHsIvKwPcKGp76ctJYq4NCTLYlzxLJIwet+UqCX05wr\nLXebPFl6+fiBssCS2kLnGPDDo2LPx1UT2NfQBHZRlAqXRC2DitLSenh4YAK7v7+XVVxXR0S1oDjT\nRHzEQrNZh+0JUigYb86Wef38+TM32I1jOHvaUrwhU7ni9ePjg6sJQn19fZUoeSaw9YiYCkTA34ov\n8RCnzPNekpGjvF++WBJYDgbUlweJGxmcDrdDuccjJ8UWf77OekkOQnlLZm6caSaCnqvmBcOFWF2j\ndL6GSWt/IZ05TqaJRFgnc7ut8Sn0HFij0Wg0viXaArsoXId15S4fQDQ876Nxd3cHz6FYXT61Jo4d\nf+AwOAJxPW74jYv9fv/w8JBW4MfHx263yzXLLy8vMMtGNhOUfVynKYZacIOwpSKmg8y1zHX20hST\na2kfSUE8UXPrZ5KLF6b0H7LRU5rpMVgWzaPIH2D7ifNlE5y3VsFbPFomppL8W/rTpDrSrXxz1D7S\ntpOWP+e+Y2L6sFnsVeO/fB9voTry103DL9iFjWgCuzBYNOCmSBxsp5T7VkjgBtNPXrDrjPlppcB3\n5MIiaTn6/dLRx3PmnEj+u9/vM5Ak3YbJnY+Pj+lLfHl5YeHFNcK3Wu72hv013MHlklc4LLbij9tB\n5OCczJYq9IB751NeRH/YfZsi6KUWLuU93kc4Q7gfD6B5pQDod565ZBKFH3vENKO28g466YQU9hLh\nvtq01kmG84JJu3nhnYORtTzA75bcjGdGg1BciN4OjfPRBHZRiGgIOz6Dgw+xERRWTe22GwBiO6Vl\nWdLEYX5ajzEabmnh5BQ8iQkzFC+fhzTBfBhPljDPvb6+wgLgmf+SzFY63p6tB4ZIIpYRpeDIi1K6\nlezCDzB5zIvh9+UBJ6oJsyI77jUmEjxZajxS8lHtvAwSIINkxUwXdecke0mNYjveJLWyqGVDTeo1\n+tcLdrLkk3dlmM0fKFPmQS5bdok20/gUeg6s0Wg0Gt8SbYFdFLwpFFs/MEdubm54C/mIyLBDt8CC\n3ESxVXhF7+MI6dQTYWZBMVxpDRZeXGhzgeXoNry9vWXvJXspU68P0uXdZQRM9E12grFKLhXn9FFI\naSL34UzU+eVUgHWZoFy7DeGGheSyLAv8q2JDcxY8SenWABegtHq919w0h+Hlm7xID46sDa4FkvL5\nVykwpzDZUFh6cGJ1lSWMcYvNUzhpYI1GCz8wGSEJdxQ3TqIJ7KKAaLi5uWECW2mqKXnrx48fOed0\nf3+PvduDPmz56ljKyJeQBMlUJFKGE0Swe9Dnl18aaO/29hYPg8CW4yFhTD+77XI3vymemZIS3Lso\naXKyeFi2VhpdMNbtulSXSqUAlTI74+YdcfxyFst2okj6xevuhRzR6rLd38gLFjRyxNcXRJnyl9OP\nauxB3Un24tSc3cM6lKspUr6sphfJi8pvzZmvTK1E2f7L1pfL1ZE2FG2m8QU05zcajUbjW6ItsIuC\n3XccT5hK2dXV1d3dXR6gxXu3Y8tq9vW5XRLjaCjZz4KV7nxS/BtlxHYi9fTcCIqjAK6urnKjDWxV\nJSmIWiqJi4nAKfCTHLfCqcU2XhFvZQlHxXCcVIdHjqDymr1hPm8vFhj72dJ8KVtMDBcvT1lajhUq\nBwPnyzE4Udk0YkCzu1iGN3tEpU3Ydvcyi4k2N53doI/x2CuvJ5bl+W+5NckJ8veO5yft0DgHTWCX\nhpMHPvsMVU8C+/HjRxIY+w9X2ryunCQYeXtccMTgo4rtHBuLHjwASbff753A8uxmEUPsxuSyiUtt\nQmAZEQ4i56k199KU7F7eHIm2GMsjd8RJyT3YTK4lI3HfYW4S/c7tsNuu6JpL9gNtlRIVNywUecgr\nC8uBxOPBSauc7pJ8UXcZIa6j+BDyOnrBRIGbdG6ZTvkvXi/1g1FDeVLcgyWj9xzYF9AEdmn417Is\nC+/bmwSGtV8ZcM/iD5vXiXIaJtBxn4nEP8UUQ3wTFhiSkreWo8mYphhfv7+/J4cFbebLS45kdorl\nlMss5JUlXI+ThWCXpVqoNJIF5XQakl0GUfjlHZHFPMXlBMbrhVmHSKS4z5tgLykkBFxy0ohW8TwL\n9PmTsJmYfkpZvFRx9rwP566Kkpexx6wfxG3+t2wH12xciZnU1xOUC/5XalGmVhLY/CduENnKa1TO\nxgjN+Y1Go9H4lmgL7NJwVW533H3j9vb2/v4+1y/z4mX2M4hNE+aEWSxynRXb0gIblVDuuGq8HIPN\n9vs9apEbB2c4vl8gQXdnrVt3Ih5GLfwma9xLdRziqHZlamLRlq0k9kTYUZC4ZuVaNteXaY80aLL1\nRp5h8YyxZSy1KNtnZByIUSUjR4wb+DnhbBzZbaXFL23uVld5kQXgf8ta+Hj4rEHjKYdZTmEj02tU\nJsu1OBw3DciPArustQX2BTSB/TMQDkiuSgLDaSlYi3PYHtqEE7bEG5MoxVApROYCOkz8lRS4HH2J\nC63B4h0OvcqxneFg0e9CbSSPSgILcx46kzlxLmd4DrnRTk5xgav4UDQmM846tvNeIyHI7SAxLFx9\nbpkwKpLUFgse8ZEj3sIck3xm9+jYbm7nMxUm4YYJi3iVS57GKyV/lyPKrwXlaCmr41nnT29vb7ng\n5OXlBYc8NIF9DU1g/wzwySV75XRXnvSYZCaBG6zUY/9cnu5mRsGchNNPqfCylOHrksCcaRIckzKS\nI/4vsvBfRcrzvJHQ0uEYmggBKmXgh53AVlrNs5IVKCWRvuBOkWtoGyAwKNpfIzAuOc/2uwTHNVIu\nzRR/snwr2QuklYjtRtLMrGgrGZxldVyyC/UKm/KT0lAy3pyZ1q2LAtmJHuatigSX7aL+UdZcADQF\nbuYYeHl5wQ6ir6+vWHbZ+AJ6DqzRaDQa3xJtgV0UbB6lpZW7zvO8FwdPx9Ys4Hg2ngMTPXe3PQxF\n7A/XYUcW2FptWcSxZDFQhDGjw0nFVsXmIqFlPErQDSDJSJ4snUXc+KNARGk9qSC0aemL2FpdecGG\nV0Sk+eXRmMDV1ZXYl2UjZAppWM9tqd12a+Cw9VilWcYWGIcmYvMz9hzCPBKrS8xTHk5B5lTZTfkr\neyyjMvLKOEburPPhTT0pnn840p5u3Iv5lZ7D19fXl5eXOLoQS59B40w0gV0UPIuQbkOZ98JpyBBY\neTGabonx7BH/K06YyZdfElhspTzzpYsMFkNlUHgJ9vOUHMkFw09eL6mae3uEn+blia2MXsdR8uw2\nxCSlExj3INe3LI9wA58hUPrZUMHVTnRbbCFE2T5CHslYIDCMXrzFPSVE7mNMesFVn6WKE2HJLlOM\nPv6XaoJK6uhazuRhvynp+08ySnmQYOorCezt7Q3+5GUcdtSYoJus0Wg0Gt8SbYFdFNBn9/t9WmBp\nfuV1blGfGpkc1gVlMypFj/0q/Bc7EpVexHNso7llcDKF3XZXJPYU5QO4TlUU5tHhuIXEYbsjg9cd\nVWOjbaRiu07tOrtYb9KkHK8BS0uuZeVA/uo2NDJKc8SdV2KB+ZFvsmyAo0DzRQ73KNtEzDIky9uC\nsJHHVniYSepGHls84oiTHJGdWGD8FtqZcaBdssrqrGeEXcQp2+t8/966dXSjodiFyJuusbf2zCwa\nQBPYRcEOmdy3Yr/fw3O4UMR80Od3qLbVAYTh1m1MXRynWFjQC/3MnSqeL784eh7XLKEcLCBQzRTo\nPKsUAwLLukNwwzF1OLUxD54cMfGy3WaQ24GdQrFd9yYuxHIXEr5m6VwSGOfFLjVZesVB8Fk12U3R\nfYwxGE5BbMdvyfOuVXiHji5iS6ioRZJlOfXF7jgZq5NaoGHPIa2ykJObI/DXBI0qB0byVnoOY7up\nCiRD41PoJrsoeN8dnmZgroK8hggWnd0lHTCS8gtNlsRW+kgKLh1iILnOrPKcwJAOLE5kl6/gPowY\nqVpQGL0zvS9Hm9gBk0oxX2Z2IK1cylNGzLNW4SngZkoxGHZcWgju3W7HFtiEwHKMZco4di6zYKb3\ngglPe1OP2gdZCF/GlgLlL9MDG5QyAn3ei42/UVfKdfmxnPPkSerymyhPjkZoM6+vr2mBgcCC4mUQ\nINP4FHoOrNFoNBrfEm2BXRRLtR0qOxwQlcTxe+KiER3WlVZRmVPjHrlf8Nc1YsFJTdwf5gtWtHeD\nE0P4X5hQqCYbYXhG7DavYNlQZTss400W2H6CTg2FGvspsLfwZEPxrzy1xmVjm4lHDixLnj2CXVXq\n8jDy+ELciSd7dmLTlF5BnrGT9ve+FqsaF7x0hOM5T5Zq7u4bDXgeUfOkyhTQlUG7saT5hS0IuJXk\nCJvGp9AEdlH4iGfnFRwOCZaqJQ2w6IHwCiMPluyl4JYSjghs/mL5QPkYy00wWQyEWumA4tbg5xfa\nbo75Dy02Ki0nK1lw4x9omdfb21tOaby+vsKFyIEM0tcnhThIBUrM4Rg67/NeogbxNGcKUG9/LgOc\nruwh9AZZ7IgvtCRXh6+lYJwCV3ndTu/x+OfJQqkOX3tRyz6V69G75ZifD3IZlp7dgULnU8thzyEe\nRvOe/Ogajiawi6IUZEFaJ6Y6RA7ytzQRxCsFNbDkFQrkTKMScyIURp/W5AsXc020e2QhR16JgRW2\nwFOWGZXNyMh5ckh2l1NieSyDfRHZApDlqLkbEHotTKh5Ics2YeoFDYBpFprFFGssjiMHRm3Zs974\nPGvoXBXHmVqerHX/wW4bCSkMJ9Na3JLMZKNwTekgVsW4Ol5B/5fVQW+HciCNPpCyJXETTZpDBSGp\nGNvLdkJaWqzxKbTR2mg0Go1vibbALgr3sYjmVarnpQMESbkNwTHHYWq433e/ysSGcAvGUyjvyE+S\nMuukYpesNik4QVkeeOdGniJuc7cdDxQxD89huZ9C2NqsGLhGR/nmHBgbXjG1wHip36gvEtzUsNu4\nI3a0CwZv2jvZSsqnuNx259HLFhhME/jW0kyRGUQfnGJ8+wPl9aRB2HbkPkIZyjS9vigJb8XCvuX8\nFeYaJ95zYF9DE9hF4c6f0ncR5Gzxj0dkxG67Kw8/7NEE8mTpy4rBRyX5eoEn94Vl3SfDIlUeAE97\nYMso06/dWbdn3oO0ZN4LG9nlxfv7u8imkv7X45zcut0xCxflSgknrWXr60M7zIOwWdqWzsZMUwIK\ndtuVxSWBlcqNk3QcvYLMW1FtFDmh4TOdbOVjJ9nO7yyDjalKrc65WaJ7VpqHZtXTU2ucj+b8RqPR\naHxLtAV2USzbuOeoZrnlwlNwS4iVa/x0oI0eVtpmyXMR8yhMM+Vk5Ve2nFh3nmTh2UktyhbIX/mY\ntNgq+O7tGdXXf+XUOF4jto6gtMA4riyO/qLSVMWFaN8cBCgtxr4mHi0oWOloEnfWsixZqoX8yWV8\nv7zlJS//lm3LhS+bdF1X2fU4tlsAl6OirCxnXZpWDh8wcd7nJtdli2WyWYu3t7c0zZ+fn/PEr9ga\nl5J+W2D/CZrALgqf+vKBOxLNiZLASu7ZVTsGMZPJl8xi1L8liYhzhhsR5JzAJnLHq888XWZX+nxW\n2ltrVEIUhtdj8XovRMyDt2RDIKRciiGRU/AgIa56pbByDlfjFoMaIarJvHnLFvbClNqD/F3JrQ1O\nYjpBdqMg+JV2CONwRB8ME2nO3R3VEJrckW9hNb+utIMrbSXlrOuKnaKenp4eHx8j4vHx8enpCZ7S\n0ZiHRtIE9gU0gV0ULII9iOOkhI2BGVR+n6IeLkezLLZBDWW+Qh4sQGNAoiCVESexdONrL7m8NWlG\n+XWS9eRCxK6YCElgozXLYUckj1TpUuqJ9JfGEUlaSvmRGiT3l22MBrsBeFJWyIwbOdlLhp8MQlmw\nFRWByQPS76UKUrakDFrvWUbZ3Sg8r7XglhxdcxRGJvX+/v7y8vL79++I+PXr119//RURv3//fnl5\n8SAOrkj57TfOR8+BNRqNRuNboi2wi2KptioobamolLLSTHErpFTGE3BehenvuMlqspsIaYpN/C2j\n6oQpwuWd/yeYqOFsU4ZZYLCreN6LLTDeq9eNXam7P5BNd9JULa+5zd2Ol9BBGWYeTxjHyHiPkseF\nT9C655ALObfAuKn9Qqo5aQfvUBlOkw+nHGbcd1zlkVHLU8I5GF5fXx8fH3/9+hURf/75Z148Pj7m\nInfvR+Qlc7qNz6IJ7KJYthsCxdaFGJWH0DnAvSXl6C/Zhcuwbv3+7tpCsrk4CbJp5P8ciQYpj1OX\n/53ztDTCybcmD3MIO7sQZatDzGSAwCaMu5Iq4M3LXlPx5aKhmPmiIi0+ryu2B5HI9hnOVTc3N+XN\nm5ubPOKHCYyXUqzbUCCvNTMcmrRkl5Pyuhwe5TMlL45SKB/gLjjQdi3Ldg4SvcndlFrO8/Pz79+/\n03P4119/pS/x+fkZG3Dwu/gAU5NAvvMGaZRoArsoxOjh+3nBsRJltEWMhbKktm7PsfSkuDB48kCn\napW5sIm2DjTxOaGyOP6U4jnnJ2kHv2YxxGYBmwsy9RVmgcFEO0cEu9KwUBQiUxp4YqWpJnmLSUtO\nfWTS4gVbJYFN1imDzHCYJA/UxSaofCgKgQm7hA0S56dyeJ9JeJ8lMPkcYmuBrdulXW5LHQ6HHBhJ\nYGl4/f79++npKY57jDkzoSvR8nHGcGqU6DmwRqPRaHxLtAX2z6B0eiTEi7jSJusx1VXl/kKnZvCv\nB9vsYKGFShKhXmZUpiAPC3hSQaKW5y+WJZncGSngcVSoYYGxrcCnP8MC8zkw3jaC58CkN9H+qDu7\njlEkCWaT7shr+JrEKyiTVWxLjSwwNtF8H41lEKbIFVntsG+/RkeUFnb55Kg3vUk5ZX7sfPPlpN2/\nbs804I2bsewPBWMLDNHzufwrbGes2I7/zC6PEZgXqTFBE9hFsdpyn/weJmtBnL1GzDdKQYSCc+eI\nQV2aCOTwKn9m4inFzbn3vyybiLMJq3Er+XRXbOe9ZNcokBaHzrMLEfoBUphMZbGHCo3gLB4kItFQ\nPO/lXBXVtvF8HxdllDyXUPzbUrDR0GJNC0+6J3zUWSPMh7cXZgTWz2I7/ekpZ6fgAUxxPT4+Mi1l\nOhgtyXC8N2ZU59qIwsca1adouAG0C7HRaDQa3xJtgV0UbHilgr9sNxcvrZ8gF9zIlzJXSEsf1+Qm\nNGv3a5VOofKn2Foe5f0YGFWx1e7xCm5yg0xMRimY1/1wRGwtMPYlym6zHF8XW18il3+h0JggBR+9\nvNLmGlxNxAvIW+5OlAt3IeIBztcNL+k1sfi5JOW/3FNSNe+F0p1QdtlyDM8T68RL4t0ag4HKz8jX\nxP5S2Fj5kb68vDw9PT0/P0fE29ubO595T30YdtK2q61vkVq3BfYFNIFdFDziUz4uy3JVHU7BKB0v\nJXuVDr2TH0bJalEJF36+TATX4oxayU3K2UUlJfN1oSX2cQWJyzmLj7h53cbLcRQiuxNj6zZkp9Bo\neROXjSPxUCQOTC/ZBcyHcER5gMmMWa1kONaNOKbRmzSmwpSrNuo1vsM3JwQWNj6lDMJPk14OG4Rh\n8M5CgdEmrmW+vLw8Pz+DwDgvPMm8xYqLFwzdJy3fkfRfQBPYRQHeQpR20MnxV1dXK2nl+atLE5EX\nrPmK7TL64PlFfhLwL9z/lZtSTmadsG913a4TCpMm63ZCJYzVWJqz7PACjEpeFsb5iU20w3ZVE0+/\nc3eAMyDddtt9tvAA/hV+4m2CY8s0pSW0bO14uZYshP9wk+uC6b2lssKFxibN6wWW+6utxMB95DUa\nJPyKKxMjta/8oNgsRvXLbXnz++UCIxFuSXlACMy/VoyxxqfQc2CNRqPR+JZoC+yi4JkVrBVlpR5b\ny4geV6L0HJ58GNjRounYHokygZtZYZo469FQS6Fgjiwwro67qkqzLJPFzdIamxuOfu0qs1RNHmCt\nP8xBJ9VZluXqeArlcjwdZrXduTIFBLyF7dhSwlNYtluXuVkGZ6P4EqWy+Fe6ddKMZSIjk8h/5cLM\nK+6/lrad1IufXLYL+RGAmsHxeYFjdA60zJxzFM8h4ANSmhofgth2jXPQBHZRsAsxp9xlnr+UenFq\nFqGE0Ik4fxI811J6qMq3WHZ78cqyHbbbKnooRNjkgaMUatJQwnArOR6lSKX76xxVYAIOyud8UU32\n9WEbIZ7BEqbh3R8mBCNM46OIJazMkE3mYyat4WNvRPlxasSeHM/zTpHG4aEuROXJQg1COqli5nRX\nnocSRwJDX2CUOof5BRJ3Z2NQU0MyND6FJrCLQpbExnYxaS6rwogvv7ryaxfVuBQuuC411pLAlkHk\noadcZupPIjUnMOGYkcxyfvIy88XJggn/8YsjjpSbzouY+lqP0xu8emw5Gl6yZy7PS4HAygPpw4aB\n6xNoGbw1mhjzkpeDcKQGnSSqk/x0PoEtlbnmRDWiK7/gQYLoqlz1FRG/f//OizwVBY0zGnUlgU1K\nslIcI3wzjU+h58AajUaj8S3RFthFIfuax3EvGahsvjJfzKNSCY1TltBJlbl8MkjfF7ehBIi7FeIK\nL/9a+r5K3XaEskG4wBNl3Au2HF1Jrj6zeZQmC0pe2morxUOjrdgZyMZWupHD9pVHdmKvS3bSld6k\n4rZCsm7MpU2MlHlydNRoJXwk+M3RK/JYaViXL5aDVu5wZ/nYwKqJ19fXp6en3E7+8fERofOy6Yzk\nVZbcB6fXF9eQDI1PoQnsosBU8NvbWx5dkTHWkJUjSmBHUN4RKcnXJWfwtUg6/pA4O7nDHx6+W2Yy\nkeyS1FyKyYsjGnb5OHdMncxUJNrOjrlZzPnmKQtP4Cb6CNyQTwqB+dpkWYace1mxE1JEsGsY3qE8\n3SUvxtHPieJxXA8ncv6109KkL0rG5cE8IU5XX+QV7lbubiDJOz/MZK8ksKenpwydFxduyU/leIgB\nw/GXgmo2gX0B7UJsNBqNxrdEW2AXxevra+p02B/25uam1M5iq43mRYaJwwhj+2mkAMZWBxRVvbSf\n5MU4qsPyrxR1ZDs6SjeO68Vn+p34zsSm9DJIeXBRBqAj3v1kYTjlUj3f7Xa5PPZqexZX/lpaYNfX\n1xgw6WQ+6coTk70Mo09wwKEMjPNdczE4mnXdRhWVDShDl1/kCyTLltmo1lw2qbubyGl+ZcBhml+I\n3UiraB2s8eBi+/gfWeryAErbFtgX0AR2Uby9vSWBwZe43+/ZO7GrlvuI+MO4n9NP+SGtFAHI7iN+\nYCQcy/vuaxq9PiIV5umTclmSKnnU75T5uk9p2boQebHUhBeXanOHIFHL5cnlPjkGmMBGuxpe0ako\nPh82qUW5WSIHOsZ2iiurwF7KUYvJHeS70vQej1JpmZLMymtmo5K08ED5ChdGttRCX3DkYboN//77\n77///ptPpPTmZQrkgcGbk0U1WmQU5QVSawL7AprALgoP4mD3OmvfJZMxlu0Sk5FAxwW4ignMKTAG\nVtFJzXcllbl8zGUZ35wkDpQ8UfK0/yvXXoyoaCCO+3vxk9wmcexBz64sZ7Y5TmyBKSZcBdbx45J9\nPizsvBU+W/nm5gYXeX1VnQc2aasz6X/dngBeSvnD9hC10QW3s3Ok0xjf8dHLjcP6Fs97/f3333me\n8l9//fX792/Z9hBGubcDUxE+sYm6k+APEMl2GP0X0HNgjUaj0fiWaAvsokC0LhxBPKWx227twy9O\njKoEP++OC/FaiKp42J5Y4Vr5sp0D8/JIjmKjCFjxX7db4o6qIJj/eubDpdXFf9kB5VXjJ0ulW0xS\nvIJnxJc4cieGGVV8cgdMBJhrNzc3+/3+9vY2Im5vbzPYNc0v8UyWywak0UrziKuDF3N2FmYrNyZb\nYNLdI8u1tMD8WjpFesffyrwQMZ9zXb9+/frzzz///PPPvMbZlQidl1q4eSo7PnuLeTp4C8/0Zr5f\nQBPYRbHSNg18xFT+KgRWykShojKL8uZJHxe/Dt7iT678CMtCerLCDRDucKH4PNykqAv5M/m65Ax5\ni8tQPgNlIh9gfSIFtDMcb7rhTc29FjTzBEmavkQPoy+9gu/v7zc3NwjoQLTF1dVVegiTve7u7mJL\nYLzxB8fTu5IxGm/8E3MGNymEOGeBxuEdSbz91ypWQljW21/K4F3JlcoyJD/9/v37r7/+ioh///vf\n//73v5PA0n+I2A0E73A7OOuIZ14+n7Dx5iQnZNY4E+1CbDQajca3RFtgFwXrcX7Ib0J0Sdb+RNHz\n50VZLnVnz2JkjpRqcmmB+cPi1XEFWR7b0UbyZfqjFyd6rt9cqog1KZXcT5WfDQuxABY6kyx7x9tf\nWgYv5v08ODHdiWknifcyM0WUB8x3Hjm73Q4RKVJrAAAgAElEQVQW2N3d3f39fWwtMFnMW9ZdWq8c\nTjEYe1y1XXXM2IHOCz3YMdbSm9L+3NRiIktEZVkpNNTHx8fr62sGHP7111///ve/I+L//J//8+9/\n/zuDOB4fH19fX9GqyIujLfjbLPt9VJ3yoygHSeNMNIH9M1jJl4j5MI5nC/JOyInA4mpwwsPFiLoS\nELulH4lT83TkgRiznROYOHZGiZccVlIgCwKX0et2gw++XybFkhdPQhBjXmR33Gl3WRZ0UP56JoHx\neixExKUvUWhgWZbr62tML93c3PB4yBR2u136GNN/mC7Eu7u7ZDXsfB9bvvGOGDU+K1KjTgHTezPG\ncQkB5oBZD3MpL6TFDeLsjkjRfBJponF4p6jHx8fkqj///DMJLNkr58NeX1/f39+RGqjX6WekWQL5\nOlcND8sCBm/SxploAvtnsNIxCtC+9/v9zc2NUNHHEbEVWOt4ceVIt8UFBCu/5QYQf5+ldIsBgUnZ\nwmQTl8c5kkXDqC5n3ueWKVtMClMKUK6XL4nNJ7FgiCfzR+JeCIxju9/f319eXjyL5LDY0h6njAdk\nDgyh80GS15turSIs/BnpFKexst/zTqpiOE4I03hlf+22C/JKMis33+JGQ2nT8IptxDwCN/7++28E\nbvAZbKKC+BzVShYYP7DQ/K4Pb1fCJm3emKPnwBqNRqPxLdEW2EXhdhLPf7y+vl5fX8N9wfGK2Mt8\n5LrhlF3FG3mNXOMWu8FNoqgUcFczJWuxwEZKaOlz46TY4PC8+Ek8sFCYYpAWPCqYGF5ibh6qA3nL\nrMV041/dAmNfIsLr2XZEm+Rslq92hwvx5uYGU1/7/R6h86WNzka212UdhIOWFpiYF37BRt6BzsFC\nDCc/L6bYxALjpd/paEVH4xN7fX3FGZW/fv1KC+zvv//GrvPpOUQ7TLpYmo4tMAyY8nW2REu/ReML\naAK7NHgcx5bAEEsdW/87h9qzKPShz+I4xtJEaECEuEslYa+RK8kl/rKNd3cCE6k6JzB/0sG8FZUk\nkqy5YKVrTvI9bI+W9ie/RmBCnJhdY1nMiUic/Y4WYOz3+/RFB+2yWEp2ZhTpoLLu3Jslh5VjUppU\nEueJMWaykxoG712CJW6YKczseMeT3B3q8fERWx3KaSmctXspd7YzjnwI8o2gdrjDBeN0ym+hcSaa\nwC4K0anjGMSBCDR8gSmA8NZo9Ec19X3mJ3FS1ghP+LdafrQnNcqVNgSShz27IE6aV2HEUmsVxBFE\nYMxbJ0uOv7JBIi925qw931213SITGLJI5QYpcO75MFseuE5p7iJYhHtsdaO8wEzevKnZhhhVk6mO\n2xz0gx0dEcDy9vbm0YnerRzMEoNdsrj1Xl5eQGBPT09PT0853YW9euW0FPQLL8iTaBRvE+47b8BS\n5VooftUJsnEOeg6s0Wg0Gt8SbYFdFOw9Yy0YGujb2xucP+xoch9d6ZUqLTB5a2Q/TR6Qm+WSl5GF\nNLKfxMDyROaG18j2kjvS4K7OuwtxokdLoCZbOdwgyzEIjSt1vgXGZUZoIhcD010oQ7rRYGy5ob+j\nvaYwnHh6NQMpUXI0DmLKpS7eqict70nVEOPOQYCjRHg9XGznn3K1QF7DsfHy8vL8/JzewufnZxwE\nwXnxGNjZXv78TUnxYD+VBpa4RrgNgyRAmJHXOBNNYBfFQqEBvswrLzC+PfRZiISTZVFYejBwsW5n\nnsNEj2fB+R6q3ZImYPHNbiVpkJMtFlvemhegzAKiJGwtziRNl86gBDiaVlooVpaBby6n5sDkOl88\n0NkfLHnZ2cWbkMEZiM2QQHvwdiZ78XxbpgYmKyvO8LVcjlKZWI6LtNLpB0LFNo+lgsI0wFrdOeOQ\nyyAKBLckzyayEhnEN3ycDbeMKI4TAgNpoSvRU41PoTm/0Wg0Gt8SbYFdFKxQjzbXgHrIfq2EWEL8\niit9YSZUmAOwDAIeFf6kFTivO/uayof5plhak3zZ0vK8FttHP8GT517BeXnQL2zcuAUmlgF3kFtg\nu+2yaFHb/aZEGXDwQppfsI3yAZg7QbtyeL7zIA7vlBhHNJR9wQMVQf8IP1m22wGj3bgdruwYa06B\n7Tmu2ujvjpaQswUm2/YvdIaAnCaKfpdv0EuO+yttYoBxuFZxQI2TaAK7NOAtxAcjYs6FFxMS+x/m\nojYGlLNuz7GUBxjLNmx68vCEvcSvElshMn+XW8xrMXllGbjv+F8ILxZk7lfkuoc1Wmy3ihgRWCnU\nhMDcCSwEhiBDnJaCcHme92J96HA45FtybqooSTGln1JpwMAYjb0yqZLAMu4/r2VeKo6kham+nO3j\nustJMTtaLQCqy1ziuMYg58PKKEQhMLR/0KRd3szof+5i7ixcCKvF1oUIpaFUsxon0QR2UazHyQkW\nWFd05q/zlsiI2O485OkvtkbHRb/TwIiQIAskl9GTDr4/0oXLlFeacoszWDbO4C1/QIinrBq3mE+9\nCIGtNB8GKY+/u/Fufn5GF7+1O+7Vm/sc5l692OqQzaycpEEhsXUTWpLtBow9ns1CyfNXJjAnsxgM\nxRLcJuAk8HEGjMjwlkkpEBgssPzVVQH0dfJiElgu8c7sMqAjLJpjt13+FVsCu76+zia9urriCJdl\nOw8tfc2DkJcroK/Pb8MGo+fAGo1Go/Et0RbYRbFSeBjUNN5E1Z0z4ufhB8QTiGfkemJ1lQo1a4vu\n4o+ta3Fugbn5FQPbS8rjBXbTSlJmc4f14tFbXEeeBeF0UDB224qB5RYY4sq4ldgrKDNYHgQv5U+b\nIG2I+/v7Hz9+PDw8BFlgQdtY5HBC1rxjEwYMCoPqSCwlb8/Bvm6Zp+FOkTUG/kB5Jy3L3Ho43blZ\nI7HAuMXKGHfv6KWaOUt/I9yJuaI5Qx/LKuMCJc+tQ/It3lN/ZIHJQIrtV8PfYxthX0AT2EWx0ikq\nLJvg5xGvetgS/dU2MGRxP8pU+KCcA8PzpSxgESz3/ZWTfkUpHpfTC1y+xSIAd/h6nvWyXc/gM1hl\nCaW0EHlCYEKiQcKU2Q5OsHRqsTPQVYp0tUXEw8PDjx8/0oW43+/Z4eatB92Il3xh/lV8mygYrwPj\nLpbr2IbAxHYglY2GonJSV1dX6dNLgsxqIlZCnK7OEyM+4NbDtB/XAq5CpiKpneQVRGDpS8xrVnrK\ngpWNs9uuIJx8wo0RmsAuCqefhXzuucQSn4R8RbGVj5AyHkPIohlvcdDjhBuWKmxvRycb7arD/eRb\nHZHHiAn87+h7lpTXwW6zYUTLz0tJZFrLC88CfUfHTUG6MQVyX3Ar8bwXDK8U3Hd3dw8PD3nNs1lI\nigns/v7+/v4+H4b5JfnyNU+MQU9CV3I7u+A+0DlYJYGNNBvpIy6kD5jluATq9vZ2d1ys5nG5QYPN\ny+A5olNkuO5oF2A079XVVRkJzGoHRk6Sa247gIXYJ5Un0XhwxyfJGuej58AajUaj8S3RFthFUVpg\n0MheXl74WAdWA6Eq8twAJmZk+sG173Kaja2QuQIoijaXR7TjUVLuPxGzSR4oHUH8MG6uZywvKy2/\n0cNysdI+4pyLNIjPonEiPC/C8zE59/Pjx4+fP3+mVzB/4k2SkELaWxlHh02heDhxd0tLpuMro8bz\nXZSKu4NrFMexJ06/EUb9Prp2szjryE7R8l3JbmSBjS64dzC1JoNELDCJzseiuuvra96Vyoe0/J2M\nnLbAvoYmsItChAsucvje3NxwaK/LQfGYseB29xGf4yxHLkmySAf/lg9DjpcuxBhwjH/GIwLzmyOU\nJRxVba3chrGVKfKWJCVzQhLpwNEN3Eri48I1CGy/3yeBPTw8/Pz5M+My0q+FiSvmJ16GDFpiZUVu\nciH54G/oHym4eXRJyX2SxifJpEn54bChFRWpcF8sR3eil8p70PtuqdZU8AfCLnS8xUSOO9yb7ELE\nkxy+f3V15Yf2uR4mah8PDK9d4xy0C7HRaDQa3xJtgV0UUNPiqOuxTXZ9ff38/JyhvTjlL8wB4vod\n3zxsz7qNSuss541d1fW4LLwu5stEE5c7MdY0v6aBLtvtQtgqnafs+rs7kWLrQlxpITObYniRw+R4\neydOHHEK2IHi9oiIuLm5WbeRF0GmGG7CUIC1LV5iZApjDhbYcnRE5w5MYvFIE3F1ym7F2Cgb2a0Q\nbxBcl+0/wfwZtgJx7RFPYcObDVC+kJDLZXs8NEJj0BG+rmDiCUBPNT6FJrCLApFgKwUTgl2urq7y\n8L04rk2Jrb9u3e5kyBfsIZG5EOZIcWdNnH5hnjrnBrnw8oj8Gsk4v1nKppMUOJJo/vxE9o1EeVg0\nJstB6ATYKgJLu1irONDOVTiGMXdC4q3i0XHS9XEMeIP3Mh9wAkOPgOHe3t7E+Xk4HBDHyJtRScXx\nlm/WNyKh0QDwF4Vu50rMSVZbt+50GZaSBVcttoNZCGzZbgqVj3E4Lj/AZ9/wd1fWQr7cee0ajiaw\niwIT6fi6Pj4+MM1wdXUFCwzRHHK2hYsGvzmR1yMCW6cTRZLUSoEMXscJgc2xTGe2WAyNahcmjM6h\nrmU7/zEqW2ytz5UsMwivjIzPma3b21sQWIZcx3a3JN4DECd3LNVqNp6kYR3FIwukjtwOfL4zgJjy\nkxBrzB+Qfi8f8H+FwPixM9WUyYgt+VU4LIxd/AORv8xhvlCsLEyynX+5bGTLqW+Nc9BzYI1Go9H4\nlmgL7KLA0n2OhmcLDC5EmGL7/V5MJdfjYqtssrkQ2zkAcRsizdiqqHAxlY6XkeOxtAhPtglbfqOy\n+TW/W2KuyMuLpfXpD7B6LtGG6QDMJckZTwgL7OPj4/X1FYY11q7u9/sMnc9tOPzkDrZ0eXEx98vE\n1vQG8W3MeEMm2a5CWlIGGKdQFoDjJ8vCjCwwufaBPUqwvJ7Xwkdd+YEI2CBjC8xNw3Uws+XGNM+O\nN85HE9hFARciExjk0W63e35+fnx8jIjHx8enp6c4EhjW7gAiYoS0+JonruVdp8D85JzAYio+8kme\ng3EBNJcLE+oquXDiwwyTj14LcbLhp5HAZckuk/kRcX197QHxt7e3y9FL/PLygsNQDscjTkBg9/f3\n+/3eN5ESvQGykgM6nMBKJ2SQm5F34ji5Cz6v+nC9ZOJXRIsdtgukJuxy8uY6WOo3p8DRA2HU5Sn7\nr+JgREOVKiZez4kA5q2w/b2awL6AJrCLgl3eeYe/8GVZnp6efv/+HRG/fv1KmcjrfvLav7RypS0+\nJPG/R/U942FR8J1+OPdDddbJSKcGTmq4jFEKbitIvqiO1KI0MiZZL9s5P04BjAIq+vHjBzYqRHwE\nL+nDCVVB68CwMDmOMRrSkisF+5V7TSXKIA6uDtokh1+qU2ym++RWSYFloN1CE4SxpfwyPFJy8Ztc\n8klnzd+N8Zj/1DiMbY1iG7hRpsYfhUQ/cjPiugnsC+g5sEaj0Wh8S7QFdlGw9wDmEWumT09Pv379\nisFhu0HnwbPqx0ql6+/paJprwfJWqSDzX/Ysjd5yTNRVviM2U2k/safUDa/SHJS6lCqzZFfelBSu\nrq5wQsfd3R3v8wQbLp+J4+IwHOfhx1FmgcWFe9gu40PWpa1cXkstMAhxvnD+etjuGsVNJy3GxoRb\nfuxbCxozZVg5UhvZUjxsPms644J78+Rb5xhn8hmy8cq9hibl++5sP+fzaTiawC6KUjZxZDZEcy4y\nDYvQXY7zYeLbwRey0lwUfzz8MKcWJjIkO7+eEIanNkqnJLNSkLFMhFjkRNCSMZARTlrnUKk3lNNb\nbLc35Hh3PhZ5Oe6QxGcKI3AjqLNyRVdZCzzJJeRdE0tK5jHAK7Jju0V9/oshx09yO8hGhSyCxfns\n7cnv7rYbePLoLXth0oOegnCVkHdMB/ynIIWReJZsEHhrcV++mvmH05ijXYiNRqPR+JZoC+yiYHXV\nVUJRdcVSiW3QV6kmr3TC0IG2CSg14jLfkfklVSh1Sbw1MsLEFyS5rNvQA1exy3WjK0UqlwWTArgu\nH6S/S02RvluBQXo37xp1OB54KC2GUD1swIHAjdTTS7eS2Otl2eJo7Yl5GtvxJi41vI7SrrTBh282\ntlIgCXwGbPVmXnzHm5Sbem73yAPldZlU6SeQQn7N5JIRJUmJRR4R19fXMHDLlc5tcv3naAL7x4Dh\ni702VtopSgABip304K9wQf/ZD6P0xnhRmSdGgnWeMm4Kf0zeYgEBnsDr63adzboN5efscIEUyg0h\ny1oLxSI1RMZj3gsLv2IrnkAJV0dwFqVOIGXA/YUmq9jHGDRIuJBOw5w+bmao5Hqcly1pnjNiJpso\nEDEgEsZSrccqMRpO3NejZCcFOye7deu5lWTlLcwCfHx8YGCwxsnpf41NG4kmsIuCJYLLqRGBsbzA\nDIrsFetpfrlgnqALqZEwQmouU5Zt5MX55UHdmcDyJ577kcLw60z/Yr9OaGw9TmXxbBZegSZxf3/P\ni5eXZcG0B0s6EBjbza4HLHRGlBSm5AmuL7IYVUeEeF4w3aKC3CxzVWOh5YasWIilEjZyJooat/9J\nDWOSiGgeXrBRymU1PXfutdWsMf5aZcWCl3Cu0jVG6DmwRqPRaHxLtAV2UYg7K6ozF9ySYKcEZlCg\naPMODqkVihttpO1GFdxVlkSMxZEa6wqvZOEa/UgdxjPifEMKaDeOzGYjj7VjaMSYn+CLuX6dyjWS\nhXvt5uYmD0Dh3Tdyo408tWTdbt3Edfd+kSlPn8VEwWRJLFeN3Zjegwu5E1fyCXNwoDwwMQs4fZTB\nX5RuHY3JiTXmP00sp1FpeTR+wQKLsREmHcrZcXhqRp/KDK50bltgX0AT2EXhswvLYK8d/hggbXO6\nJVcRIQQg95oq3517aUqHXilZPuv8GXlIXIiX4IcxY8QEFvTxc8GCxLFL2IVm0XCRol8YQloP7Z+l\nwj4a2H2Dz1Pmc6GQDneQx5pzffM+ygY2EkLlF/NaQvnnk5QowGhhlqfvr3vBFttnS2I6Jkn5Y9JK\nX8CoUpNfP5tduVIF6aNT+MSccopxois0JmgCuyggkq6urnyeQ6wxjHK8tT8ijmfPR8Td3R1WN8fg\nS3C5L/ejmodbt0vKSmHkbFRm4TK6bB+uMpgGOixuQmhm/AvPmcvGPLx4dncEF4/5OOU+XuQT4vP5\nlEE4hTI3grq7u7u9vc2bSbEZeHZ9fY3C4G+WUDqISZQbCsF+5TaJYRSLocUtKaYVV1nsMB+Qo14T\nbabUFdwUPox3bizNrC+YSisZmss4NmRCFSPtqvxSyu+IFbVlu/6vXNmJt3xKu3ES3WSNRqPR+JZo\nC+yigD3Bh8SLsonrVOSXZXl9fU3d7ffv3zwHBiuEty/abc9BjyrqSf5lTVz2s+CLUtH2OoraPtJS\nce0JyowO6uvxdWwB8MYHfIAkYggX2n2VvWcc34x1Ue/v7+xegx59e3ubU19idXld2F7EX9mwFU+W\nMaX8AO7wvuZippdxlW7HSFei4jvaEQZmGWfBdSlXrY0MF64Fpxxm68xNsfIByW6tduKI8ZA7E2sV\nx+g+w9jaUgut2mSvdemKaBfiF9AEdlGAwMRb6MIFD+RayIwLeHp6YgLLBw6Hw/39fUpV9lQECQ52\na3ipVlokhDtBcop3CeJEdtWGQDF2kkj6fJ9pjxdLYeaAV9KwXMBb67ritJrn52fODhMVuMke0YXW\nhB0OBzAf3mLvHC9D5nyzg9IzzHwZWykvk1LsKuQOlaaWHix3bNpVO6Nz44SR2YQYJIpEHpPquJdS\nwOURJ7BQ4CiFUbEli5IO/afy4Tl/LLa8cvQ6x/twGUbua6TTLsQvoJus0Wg0Gt8SbYFdFPCMsWdG\nTBOxfjhO4eXl5fHx0aeC8VYupIWiB7thV+1+u9rGP2Hmgj8giqqomV4jJMv/uq2QJeQYd1hg/7e9\ns12OG9e1NtSO7baT+dgzZ/a+/zs8NZO47XYsvT9QWvUQgGQnu6rP21VYP1KKzKZIisIiPgjypiI7\npAYpOtnj15+fn208dy3oiFm5ZGPUZR4XYNCEaBj0kq+vrxoxj6yRnZCWSYWEqGZVG07hyu+FbQga\nmC6CVao0c+1oYFZpflZpHgFBG9tXaz5iJcs23tzUshk2Tu/STPdube82OIxhWZjDWD6Lk/DdQM3G\nDprALgrJaENCh9ImTg8ZXTvPz88MK9cFTe1KV08OyGxHgbVsBBxS0vFjzv6AkpLLAiyjC3JDsBaG\nAfQeKRTw7u7OS3r8uhsAw4N2WHaCY4yFFSYajD/LmLrCb4omGQ66YJMWB2EZ3W+W6ITjn70pBrEY\nmCzTUhj/XIBmq/wG6QML1VqFZUwXwtEOJWnbZMPY4JLtlvcyGeZZutXmcKdcpeULlix/MqdkpFvP\nCicyN4f9BJrALg0yjY3qUQC/aqkFr6+vLy8vtm5qtjW2nvsldRbwASezcGGbA6bD43jHRt+4JSO+\nasgfOWVTcISQt2wkcpdu+shZg2LEtRnLlU49VwOlaHj2USU5INRZyTokMBUOCaJsJTB/HIda3JAZ\nJdfA9get0Tb8WzYm1Q3kEVYYgRtYf3a9lH7NcooGbTs8br+ScjqFyvMT94ttXZc/n6COW0VL+33P\nVYWZY+PYkrO52cODhprAfg7tA2s0Go3GVaI1sEuDsc62niJYmsvyUtGXbG4lO5/PHvn28vLy8vLi\nUYi+4d81sK3w8dKWsmUV2belTKOJPxuFcoWWvFnqO1fEHv7OEXP3UgiwZGZ377LGRMGE5YJdGjC7\n6Q24Wc9HzopIaJj+JA3s+/fv8skxMj6clqIfsu8aLlmMLWkb+V1kZXrHp7KlW7ODBg2MNtUd7NjZ\ntrSlMOY/pHyUBklebCmLtuqmO+bEram7Ve3WI8JPSk8BTYilUaTxLprALgoFcXA2M07B8BHK15IF\nnK3mRDN7fX0VmTFjze3t7Qe/jZKotu4HIZVFRnCtsSqaNPM4SHB7d7x3y7J4yfv7e13PVfIt2lef\nn589moOjF7oTRjt3jdYwOgiDaJ6Qv+Pm5sY5zECu03gACh/H56ra7IM0+MNEwFvjb6MMLd+aBpwS\nluXZThXYIgY1adlwmGXCCC/l4wQ2bRx0EKq1akz088A0yxgwYol9t2jP8O6mlPhjWuH/DZ5US+fA\nvUuQjYwmsItC7EJv/7we5R6EqUvwUuQZxL1vfhKBSW7e3t56DXd3d3IsW5IduqDnuSygn9v6bYew\ngryMpawJiU3J2bZud3PW+fbt2+l08h55+83s8fFxmiYdTsFMUf6U79+/v7y8eA3Pz8/6uVSiUgZl\nQZ8369DTPmNzt361jBvmFNBBiUZOKkWVquXocQebaqM+zQaUZMau6VfksPBXVht0zS0OYw3Z81cq\nN1ZN6fJXLLyDrYVIriF3k3N12Yh+/AjFqgY1g6SlD7MM2rLeB/ZT6CFrNBqNxlWiNbCLwtPJ264G\nFiwk7srS6jsvV113kTnx06dPrnzQrsjYev0bQqjzYnwaQ7d1sYzh3bkGrrXlEGJmbq1GlzUq/Xw+\nPz09ff361cz++eefb9++eeMPh4MnfefoSQNze532Y8mEeD6fdZT7kvZI2UagHftOTULdcUVWWlFZ\nm3A4HGRXzH8NKO1spe4SDFN8U1KLt6x2oeagD5UagJQwDkuYh5q3eea4XqjH5YaF7pSYknUujA/v\n5Kre1d5sTG01IQPyTsvZhvDlsmvUwLJyzwZ8ZJ40AprALoq7uztPYS4Co8d+nmc5rjS5QzY/fu1y\nhn3//l0Z/HQtae6E4T/xIO8go+eUMchBeWSVIDiMqQWzHJ+wrSokhaLdz8yenp7++eefv//+28z+\n/vvvb9++eS9ubm4UoX48Hn301Efvuz/XWdzvy9DH7WWkHHJSsJ5ldwjJI7C+VWI0s0v4076li8Ne\nlsm9UGdzF7LVjjdLfmLXDttZ6submQVpUuNgUvSHEdu/LpGJJHT2XY7kf7W6IpOF1/1utXmpETob\nppYOSGp8HG1CbDQajcZVojn/ovCNt2amvcbSJGxd4IdEGyF6LS9+XfVRlIEiDpSR/eXlhZk4bqpj\nIW0jxrpUBfL9vBpVAZoQqfN5x5+fn5+enszM1S/XwL5+/Xo6nbzLUh9fXl5kGFTsVugvU8jnNCWh\nd2ozdZQF4Rg0H3HAgz5H09lhPJeLTnu9wazQlLYpS2t2qoxbreXg79Sst7D13K0y1Gt3HsGWl8k+\nwlvglMttCBNeNYSqth5RFguNzw1wSKkN5sTc3/BveARrkK2CIUgTcvQ0Po4msItCSfw8MtBW0SP6\nkXcnsIikANNV6HvgQY78TkRgFDeihGDK0K/4p+zzYHt0v7Qf2hjUpwa7AdDDBen3+ueff/z66enp\nfD7ry5dLLwQfqu8yn8ogRpMpk25Yki/BfCqBEuKbxU9hZMKAuGTPWRz1r2e2pLPQkHzIRjlbisIQ\npkgCyOasbPjKBcq1EavixAg3ObDhERox/oQrmNBC/Tfw0w6T6eZSbb3aKh+6sNX+d3+enxva4F0r\nJypnrBe42ThPp7GPJrCL4jAeTm9mCw7jcCVD4RhksvI7IYFJspOKpJqQ7dzTZsh5Qz3Gfx6Wz5Ru\nQV7z4w8LTBtVBE96a2bOXqfTycy+fv367ds3M/v27dvT05PfPJ/P9Avm5WroI5PxBKbRCtqShGIj\n6V2XR82r5VvbOtKFWheVTlarp7NreqcUppnDggaWFa/wgshb2Ysj8CZrCLsjOGKBccNsLNl3Sy5v\nOerUHo5JYLX8q4ySyfII7FTFReRHHhEYd4Ez0rfY8zO31Wbwkb40ttCc32g0Go2rRGtgFwXXzr74\nOp/PYfttcPM4qP1oNZqjEENKUCkTti7xvHA4EpOmy/BQqmK8DiavEMofsljZeuaIt+Tl5eV0Ormy\nJa2LfV+QYDfELlLJ0DCy79J+OAhcSofR879Sb6NHzX8lRTOYidjC8tTNUl1YkM+eEfm0O+XxD1OI\nCrdKZj1S+iurLbWQudrAXhr3DJ68/a9Ygf0AACAASURBVK3NQlDow9OpL25pXbnx4bk0VLCd7xbO\nj9gaolDVlmmEBfQh+DkSmuoeeetzTO+rlbCfQBPYRSF717K6djyTYenmyd9qMCV5VdM03dzceA2M\nuSfD0Zx4Pp8lbVUz7X6lVFrG3VQSi3KziZPcAEj7mK0fswor1ZNMpt5yL+y5M5RByveB+anTvg9M\nLfcHeQ0KhDFYR9VOqwIKbDQ8GkQzpeqEeA39fBpNiEoywlElNCDyugXBnU1epcTnD4MVNIvgGeeQ\nLVV0wzwmFgkEFsrnCem2xC2eCDfJr3rEPObR38cWx+w/Nyw73uWJcqDKm3xWudqYkR1NBHY6nURg\nb29v2jD3wUFoEE1gF4XcXdOaKcrTzmZ3V/48/DoIVl24ZHcKDCJYe35VW3DSULLQo7OjDSyrN8s/\nxdMKG6MBl9GJrTTE3LClkqIBv/BwzYeHh8+fP5vZr7/++uXLF+2i81a5+GPe3rBAZhdcxIct2NMY\nUjGN4Rj6YdiCykeEIQ0xI7qQUrilteS3Xy5cgjimDlcSWFY0S5Dv9YjDRtKjGWmrFnhMQ9vCI3yU\ngurGGubqSMwtvFssNIAfSy5ZKnzTGGia9TbDm5pSZJNB26ahRQtWhh3N2A/a+DjaB9ZoNBqNq0Rr\nYBfF+XzWMi3rDW46C2vn4BiYUzJZX7hRAwvKjWElGCyTivOW1uVGsJBpV5WE2tyyb6sry7UxX1eG\neHe/U7r3pPHwnOXj8eiWw8fHx8fHRzP7/Pnz58+fgwbmqp5MiGWYYlhcb20M0DgEe+OCgzQPY+58\nGn+CrZIjxiW/1xAcdUFz2jJzscFsWy5pUEA1/kFVYhmV5H5ES1pOmIqhMcGMlvuuEWBVrkRSG86P\nKLu2f8fGzQnCNMa+h/sGRc1GI8e7JkQGvmZlzs0PIfhwHmOGZSNpfBxNYBeFTIiHNVGeX3tUhctl\nzXiZ/sgHvPafu+vIyYO7feUfdr4ReTDQQ5JUp4iRwATnBsYF0LJvVfgJeUsXkvKSdHqQ2wydq758\n+eJ0ZWYPDw/OZMfjUQdPk+YVPBL8f5TODtp5GBnPdEpbJEGbXpY4qk0ujVCbVRKfmxDYYDJN+Imu\n6bLaR2Cy0DAKUN3fCijYGlVWm1teNjKQOq2j4Q3ae0yWWVZEolHaCuUPJBRqIMuGaz23NCEGkrb0\nDXJtqvFvE+JPoE2IjUaj0bhKtAZ2UUgjEVz9kk1sQroKneioFXHQxlTD4XBgBnoloefiLm/+t3X9\n6FHgXsDzdGg1KlOh7B4hplGh8wzpthQFRw3MxkWxtMC7uztpYB6yYWaPj49uV7y9vWXs/owEvtTA\naMqzUS04rDAEsATtR7pjWLZnXYpLcg2vm4+4qTlMgKC7yAgZNLDwXLU/VMKL8CzqQCpDRSeMpN4X\nb+5EybORHLHwCOqvtqHxTFWsBK3B03uhg2EcqFOq/mznDO1hw4KyxdFbRltiqYHpJkNP35AuJzd+\n+XAoZoNoArsoaJzRdA/SdlmD1vzCd1CJBhjgpw9pHqPkncDESTM2S/nP9c0c1vxGMr7N8yzJOyMZ\nlUdLqgbGFqo7jM5/VwLyy7fRD3d7e+tuMFsth7YammSZVMZ9MSu7ZpVk4U6yA1KikA451KonBN+H\nR9AHpp0ABhejQTyFQLtMnFyv2EhdlKrBP0oaLkmChYNkZw3qUb4Z5irbL8zYIZCtiCXF8t/Qi8Bk\nZQNyS1iAbOrX9EFOo98rj1vJVeFBnGZhStPY7h9g6YfmYqLsWmMHTWAXBeU1F9Sa+tzNowLUY/jX\naXUjsaR8xbrvakquQY8IkQ70rnlVvm3Lr99wPpmtH7DnePTA97u7O7kf1BgPnQ/cYJAaFOIMPwlf\nuMSBApGpGuahI4H5mFNW2ih6FqT1EhUxniWIMLWKzGqjUGPv1DWJZv2KBEZS0c9tlJh5oEgeuZEq\nY+N8Y/kJmpDqZy/KEXiXUYJkzwuaQHXkTo7w1rOWpH3m0eNzM7PayF7lfzNBZpIOVOSBG+6c9s3L\nOmN9izgbP4r2gTUajUbjKtEa2EUxpU3Eum+rUqXlG1U0rmfzaR03OHB5WTf26udUU7iGVVXB9EQN\nTC4uuZpcNaHKaKvRzz1Yx+NRpyQrTNHPiVYNb8g1pf5qW7SvVcPRlAviuPRXvyi3gbOFvBmUDIOv\nYh5TA2vww+I6aJ+sjVrggkxRNupMQX8KGwBs1Ipya5dkQgwvLusxVOxmJOAvl/9bGs9UOYdysVxb\n1sCm98x3wgEHTIdesEB+XNDhcpfL0MQttSw0OLSWN2fE6J5OJ+Wq5j6TLfV0ZxgbJZrALoophXHr\nvq02rnk9XiFYJGylHOequ7s75VUSHd7d3Ukce2CFjY4iimM9K8hofdhl6MeC3VRszPF4dAJ7eHi4\nvb31wn4UmRrp1yFVh8SN4lZob2RUBU2pjCgpxUHe78XBZMD9hPRRLPZDAkXV0u1Rmh+zB/Et5b3M\nbQ6kkgkmSPnAkSROlZzGPBq5O14PC2ThHthrh+ECgZXDu8WsmcgP1VHRJchk8zzzhzQ1l7/dYdbc\nCw2aT+PT6fT161cdceeHBNm4ymkC+y/RBHZR5Cg4xwRvFsnMVlmsa+ZY8g1STlr6DJgnkLGC4oNM\nYDZ+P/SobfFEIDDfRuaEejweRWBhkctvVQqW/hpEcBi6IJcpwbOE5YCwBv6rhTzHXLqjWs78vJbk\ntUG2WlKVVC2PVlkQJxJIOoxYWPWXnc0aGAeK+/DCoFmll+wQJwuUKlduahhz1hDU4pIj8/BO2ANn\n8OCWLcmVhL8GFS2XLNk0XPNFaKidqJzA/Ii7b9++PT8/5zmfB6TxQ2gfWKPRaDSuEq2BXRRay3NR\nb6PeEHQILyl7493dnSteX7588Z1Sx+Px5uaGPphgPuKSnEYhrTr9Ecwr4Rczju2glsAGSxWTkiG1\nTJWoBik9wYplKae79sZxw1YYKDU1L5/D0jgvutkAFeZxlAwVC7GLui7Vu3KrH0+81JhQPQrV7izG\nSw2AqtKCbRVByQsaWNZ1gg4Uqp3GLR+WdJ2yZtbAH9LGGzYqhDbsjEB+Vjl0WypjeFZGnlFWfa2G\nCfP29ua+rqenJz+m1cxeXl5kNmflHPPSJ9fYRxPYRSFBxqm/bHi5ObPlTbm7u3MT4uPj4y+//GJm\nnz9/Vj4k3wSmyAt+ctneQjManSUL9gORAjMNlJYZG+k574OhOUuy3jcyyzp6PB4VlO9M5o1RwkY1\nIGwMUH/L8WeXw8jo7SihF8WuWlualVRgrnJ9+SPEzdPqcsslbeRIS3QVLrjUUIN9qJlpc2tYlo1A\n8B36+W/ArnHhckDOp33yLrHTKZbZ4rDQsJLStj5MLiBsfY8MndfmkzJww7ad4o0Pojm/0Wg0GleJ\n1sAuCh7BpbVbaabQeu2AFOlUU5ivXUk3PKSY22lVA5UqWs9UUqvIA5LMsvH6bxkOsMBKOa0B+tN6\nwPEbjo12LScsdT0VvWff8PgUv767u6PZLTTJ1+8Ko8+rbN7JbbZxbT4la6GNFrnSeJX1lWDCnVJW\nKulzZfSjVXpAqSrxh3qc70YIEdu08W5pOeXj8rjln+zYGAnq8aEN1GlkFi5ryG3Y6gKbFxSsjHfN\nicEiYulr5a5/PxiPR/3xh0EnLqO6Gh9EE9hFwXhCzv5MJPqvW59kOjsejy7Z7+/vZWQTP72+vjJe\nTjVMY2IesqOlMLlSsujfuUrct4zJkGQxU3d8S1mOaZRDzqMrSWDeO6VADB44v0kzaUgRwqcH0goF\nSitZGIQt4Z4fVA7OMlqJ/SccMU6GUnaHxmRxTF7U9js3JPowOmzkwvCsLUrWswK750EIK7DcTtXG\n15oH590BL+8v43KQa5S8Xtlqdq6Ww8JP2ODO1Jj70UJm5mGHYXkURuOAUxHoOW58ED1kFwV5QjeD\nJqR/fWYzSv729vZ4POqcEZdHDL4vP/XsIQ9/OqywjUN43flEp44KkMD4rXrbVJsTmMtTV7+CaPOt\n0E5a9/f3d3d3Ot5Fko4DxTZI4ym7WUp5q4R1GfrProXR2xrzcEdUbUnBzdWSAsvKbVTpVIBOR7lh\nzuezxnmCWsyb5XMzyiEtyYANI41NG9ufc/dtjLPP3S+flZHbUK5vDLPI307g0QlbWQ7jWdLzumHf\ng+bNjIEb2ovJ7odvv4zqanwQPWSNRqPRuEq0BnZRUIfgcozmu2V1Wsjgc39/rzTtcn09PDwoE8fO\n4/Jzec3VHwsEO4+NUcLZzuML5+wDu7299TKeJFeZCNRlrXZ9H7ROTpHVNFhs+DgbtyHrT1ZpBnlM\nODJZj9zqGlf9Wwv/DCpbO1qLjZpQuWa39Db9pt7LgpTELy8vKsB8Y5yEpRaYhzRoMDsjbBu6EYea\n1fIO34U+DTaYtelivzHhEXwF5UV+xdOYTEBTd16Pa3h+fv727ZtrYJ50w9bQee6UKDV4XbcG9hNo\nArs0srzQt8H0UZ7T3RIfMIhDJsQZ+X5o66AsyO4uRucHi41+qNgQ/cmPdyntbIyS98J0zskH48XE\nuwdkU2TofDZpKt66dCWGUd1ilyxEyhq2RJ5qnuDMLysMsTAksNy28nFhnPOv9CwvqWsmjVRruYXD\nf07nqL9BTbnMQFskEe7nYhxhNnh/2ENJvu68fuKzynZOlT9sh7P1K0ZYhNft7OV+L2cvmRAVxMEj\nVMptlFuzt/FBNIFdFPSmZMrhRlrF6dnIcB6tZ+vJkzZ+xl5SER9+06UbSUsF5EDeIjD//JxOVAMD\nq5ZVEwpndCkyUEzGx1HJ4Blg3jUvub8gLRWaLNp29Ia8nH9XRlMXCU4RBhyGV1xWtfOIfQ6wUcr7\nBT0oJDAGEbAMN4mzgHpBcb+1FLA0nu9qQlMVyGBp1llismV1jGXnn1VMVj5dbSZnh76EHvFdk7ps\njfZ0rvq2wsyUtJc5PwOB5ZlTvvfGu2iltdFoNBpXidbALgotxA5j0t6sCVkKSrR1gR+sOgz/szEw\nV8X2NTAqWFzwaokaVDTubtFqdJomX3ieTifF+qsxTPDBlfhhDbh36ygjD8OymrY1BqCrwI59qcwn\nwl+FB9m4YC/LBw2MjQwGomC22tICczcN731LyVBjqB/MyIifB2qeZ42z5kBo8Ed0mp32bP1JCl+2\np1nlrLI0IZcxB5WNH8iWvhhuhjHhW9v6oQrPa4Zr3+/lWpeHzlPxsjXTiuLsg8VSrVWBkGiq8RE0\ngV0Uyh5EYwhF4ZZYZKS4NtXqC9dHJUuLrVmLvIZpjNfgQWK2skgmMENkeRAiyxrQkUnUw0/EW85P\nHlag88CylA9uhpJ+xFshx5WEeDnm+9a5XLgUhZl1+KYMYpQmxGCR2wIZriwcBoR0mE1qHChmq1J7\nvn//7gTGzWFhP5YMfT/EZFs9zauKw3iIV0nkfsGGce4dxrCj8nFlAxZsQWNJ1sbVQGiS0nQ5e3m8\nhqeMConBvKmcvWFtZON5NyGFZuMjaBNio9FoNK4SrYFdFN+/f5f/nMuxUlXSqjMs07Smox1PJqNS\nI6HFckq5cMJNq5bMniHe1hWo7itYI9hAtMFTC/zz+az8RpaiEKkizEiJKyxjsg/dnxB/HNb1lrKw\n51W/BpkPsnGZvKVVZA1gy4S4ZZ5iATUy/BsavNWkrKUZJknQwGS21Slu9/f3tFuW6rhVyk1uxv6f\nqEtZpdrquhwQ/pCzN8zbreda9a3N4xHVVJs4nvrElKtXSTdc/dLMobUjKGR+rZtv68Hrirtp/BCa\nwC4K0s/W9+klKRN5APG0Gs351WXbmo1GyFKYZvtJQGhPKa/13GU8p9HNLE9PT05gth7rbOvmLRGb\nPnttffNwRGc42vTm6kAQ2tAoILLgCCuGUkZvGc1KRinBgSpNVeUjQoGd+VCWpOErVL7AaxiOivbl\nhey6eXhZG83Iuf783PLmR/iPs8tWC7muOTiyc5bmxI9zLdc9Xr8M8vysFNipPXbPz8/MOSnT/dan\nnX1vczr4pvFDaAK7KHgElI7toPl7Shs5KXpIYNy4+u56lt/MocrVywI2fnWWND/ep49aX7g+8qen\nJ8X6Uwx5+ICZKXDDa5AIEC1pP5wleW3jIRRcOwdqV8v5Q2qcqn+fyMOIZTnFkeezysKBcoIMzY/Y\nF80TNi3lU3u8Ki0gpAQrw/LbChs3eyzLwvNl9lnh42uj0LCd7izj7uY8OPREvtuerfZr5vggaCaT\nXUT/Oq6Ibl2DUSHMMT0if1b6Vy+i8UNoH1ij0Wg0rhKtgV0UeWd+iD46pEyvQYfgKpglueoPy0z6\ngVwT0vKcC3yGzAWDpK/ZmUuesVXhEb6A9ZUpFZ0FTgtZC+UkO5/P2nXL9s9rHGPImMX+ylJn0GZy\nw1j4MKZk5XjuGOKCNiArZRhJ3SztWnyDfBb1sPCIAzLMlq94wpmZ7tnK51lT12H9nIfUxvzi/v5e\nCV+UV6U0DHJ4w5/275QIanceHDpc+avyiXnEwjjI6O16ldsPtF2Ecz7oZ36t12SVG5vPCs+VWnxA\nfoDGx9EEdlFk0R+SpCnpO3fMzONOrx370oS8HsFkRN+YLijIKOmCXZ655EN+AdbA9viHHQQHCUyZ\n6WVLFLtT2s7zzHNVgrXNRoG4jFHLNrKaweRY7lLYtx/mJ1KSkhtoOVQNpcBlhVnY8aWwcCmORWCe\nbEzpWujO0ejp5zPOteHrlox+fX1l5pdgd2VjpvHocPom92lsGl1rXG2o2kC9efxpkAzrhjBiqkGm\nVCct92b5UWo6RjmbzTlKDFwieXNbJ12tag9NtfzMrfGDaAK7KPJ85Q7HaZryff9OWCZXq+9Ezo9Q\nAy3sDP/jpjR9PwvC1fSF0/RPZwmZrBToBEUSD7fUIzKBkYp0NpjqD8TJ0WMzxChZwrKGEMRI+glS\nlQUskRy7Gf66MyyMxsx9F5lZEs16lkJgjsejskr6WyuFI5nVHyE3DwMWmGE5xK9S6zqMe+SlApLt\ncq9DewxUxGHJUyu8qf35RvZ6Q84zhWMoKZRfU69ik2z8cvlhakbtRPyG9jDRl23MjcY+2gfWaDQa\njatEa2AXxSGlBDWsvFwlkhYSlAkbk4py1XkYk1EF+94bTkNelkWL4k+fPtHgpgX+jKBHaV0yIfry\nPISrhY5srYi1xKa6lt0M4SfUhHQgCJfDXBGHhnEVTw1Mg8DlfFjg62bQroLqQJ0pFChNWARL0rRV\n9j0PKeuUCfH+/v7h4eHx8dHMnp+fpYG9jdmMVK3mWwi6MzM/GJMmxGCAnZDbzJVpmTH1q2ncYrjT\nhRJU8mxXlbSkxOTX6lOacfA+Sg5bfbEyS+a9FmHGZt2amlZQQDUPvQHTGlFsfaDlz6IJ7KJgknWa\n1/VX2eX5wSxrfLnLiGBGm0bfw4Idl/poZQD0x3lhUeOMY4ItGUlsJDCa/neMHqQH3lHLM39vmVMk\nDnSfYyiBQjKjNKFth0fJqMI57dNiC0mrFKZb3cmWogPC6HOPLPGQpcWNt4EyOpvjJhzhLQI7nU48\ngy1I/wV74dkF2hJ1uLNnTcyHtNF8raMSgtE7nEO2BbI4BydYSkunY3hruq+bMhuKt3ihwA1nL744\nG/fA0Qc2jxvU9FzS/GE9LYjzUBcy7Gv90fghNOc3Go1G4yrRnH9RZP1pRpp2Le5sjMzWks1XuOEY\nsGCh0vJ5Gfdm6ua0BkHlWAz9Svd5kU2aBmWiXF/zTrm+FrxOV/Js1GO0wNfQ8aizELgRHrGlgakB\nS0raGyxFfEFBG+BPsgZGi9CEgI5ycPhfzpBsKQ3VchqUGphSRcyIQswGt2CllPaptB2M0QixMNTA\nsqoXRqw8QFwNy+9lGkPzqS5T6aH6GLpJC4TnzlDAIQNr2XI9WuM/jVZrG9Vigz1QOiKjEA9jvitd\nKKWcYnAaP4QmsIuCrheaEPVtvyGjmv+En71nrnPxfRhjyun3CgZAij9LYtFGB4mblWgkUbXZYLhF\norn9H4EsWtM0vby8qONKna78+guysG8JFJpr8nV4rvqeLYeBcsrusIZAKnlA9sdkGp1huWHli+Cc\n+fTp0/39vQhMrp03bFqi6M+PEFxw61RuehB5IbMnG0bvkZ6llUdIWrEzDtMYZK8Kcxds3bwR5r/H\nUjLgkNmzLG0WNBBqfkp4KXkpoAWiDw6jMfNeRm6baQL7CTSBXRTB9WJJA9Ms14fqAiIfmhViLqg3\nZAUrr7VtXKIaKJBffhbiVgkdsgIpOesrqi1LYd30cXCJ8/z87G4VjwvQ4PC0MzYyLNtJWmEtX4oh\n0mHmpKCBbRGJaCCTZR6N0HJesP7csPDbBXHnfry1mT08PPjBbKfTST7RpdoXHIR1btg8z9n/xCFd\noLsr420gMD5FLygPSB60PObT6PcSaXHvR8755EQeeDr0Ir+acqDYnTwstqaLU2FuA1eeT/17QFK0\nxsfRPrBGo9FoXCVaA7sophSM64tHamAqSW1DGpgilacxfRGtJYp33zKC6SlatxrWg28ppVD2LeXu\nTJWb5zBmxPeL0jJDLEjtcz6f3Qh2PB4V0h0S+HIcpIXQcxbUQUtBhqU2xi7nGtja8F/5UYJDhePG\n307JO6iR5BvMjSyb4RPGB0pHY9/f3ysxkn6+r/eEavmTrcExzEafQq6HaZLQMKscwVvh4xylrAGz\nhdzvoTwaunBVjOZT+kRtte/RNELdLo9Dvg4zRzorb87YqaLB1J0pZeFqfARNYBcFbQ7iBs3dt7e3\nA3bVSJYxrwF3lqgq+aidvYKJ378omtFyDfomgxGydC9Zkn2kLkq6LRPilgimOPCfqDvetZAigb1g\nw4LzPFsOg0WuFEOqcKryKZRdCK3K5J2HLpRkAVqJy9FbYAyc4DQ6jGmlzOz+/v7l5SUQmM89vqkt\nQs3N1jiXBDavYet5zIOL0aPzs8MsP8tGKT+P0RzeNc8I5Tk1/JRkG5OfTWNQj48SQ6s4//NkyDfL\nmVMyHAmMw1IOb+ODaM5vNBqNxlWiNbCLgoqOlqITzqjkyleh89TAbIy2MDOPsHJbDdWUt3RErK32\npRzKP1W5LWjwCQtPLvy9qsN4zFhQvN5dYAZNaEKsP5N/q3LWz8aEJ5YWJ9s2IZZtK02IyxiGEx5a\nVpKHgramXDgrjrax2M/qEcNWbQ2B4XkCNiZ2oaIZNELVGeI59atSp5R1miO2pCDPeZ49xwer3Rq6\nQ5WsMij3b0h16B/F6+srw2r0FE/bb2u6EC+gfSxhHPKY5xeRZxEtkDP2R7Nr1FwbP4omsIuC1htd\n8LOcsO1J9g03s9hq22GWBFsJLO9oCXVK4uRsFDZ+ltkHkCWsas50VcpiPSVcbz1XHzZJ1CDZ5QgM\nXorw9GV7m9cHTYi5L6UgY4HAdpTygeHUqa1B26LhfXD1w00I4b0H0ip7HXqhakuj3xaTaXdEOXr6\nV+80VMXRmJGhX5OBUzpERdroZp6QtoaDE2ayaghVWZrDeebk7qtAeJuHMdtvc9hPoAns0shSzyCX\nyVtZ9Bi8C1taF3d0+U+Co6IkMJWfsZMsuJpCa/O17vDLz6RlI3/n54aBYs3USm08RSlImVKyLJUG\nQI4MJGofUDKyd/DjBMYxDCzI/hpcPmHwtx6Rl0GHjcNoWD7czI8I4Q/5VxTNoWvOZOWE0XX2h4V6\nyDR6Fr1ZWx61TGDcpKVFZPlqaCYJc7v8nAnOedWpcevAjf8SPXyNRqPRuEq0BvZ/Bq64uV52xUsb\nln1RqZXgPM8hlzbzZweFg4trRiF+3IRY2pRsXMXnfm1pYLkMbSylobJUMg5j9v1sjAr1q5vBchhG\njObE3AA2PjwiFN7XwEoVZBrV1n01hf/dV/JCpHgec5akWrBf7VSFZQYVLddgo9oqJ5kH39poKshd\nzmAfZRXUNevZfxfe93LuHdbwYFk+gpHgg3a/UGxr5nykqgbRBPZ/j/AhhWw9hzE9ue/0sjWrm43R\nDaFaegtIYBRGDgrxeUwDaClwg6KWT8yUsPWJBnltI3lQFAbxF+x7In6DTAyNCT8v41PUKksymm7/\nIGLy4FA+btHAFoGV8iu/KVYSZs5W4dDg4FakFSvQTzAy28gKNr4pDtShOm+lnG9htnAO5GnGAja+\nKSaAz0NdElgYllwbf6XIF93coa4PUtHWPG98HE1gF0X4qD7yE6om8zy/vr5K8dKG5cAT5bP2P+At\nnxCFBZ+S/QG2S2ATzkby1a6kAAlG9UsUhgNoFMDCQ2dK8i4JgzzNtpUvpfQUhs5mTONawSAZ87My\ny7KRU0oDGFoYxF8ZDpDbGUaMgjuEQuTRe/dX+xpYOSFDw/SCWKBcM3E67dDANG5r43yj9s+2ZddU\n6YMMTymvy2bnwcnTrPERtA+s0Wg0GleJ1sAuirwC5XLe/QGuW9zc3ISTLb0Agw9zcvGw2Oeztha8\nVqUADgoWC1Nde9cQpCe6+sXM3Aqt5opbRq1DlSXBu29mLy8v/lf/lVpO3aXUwGxUE/3ikLKfhMEM\nfS/f6c6aOrchvIvD4TDjEBD7AELNWybE8FL0W+pPvM4HLuehCw0oNbBSycgDVQ7OvO5RK/XIPJMn\nJDJm4dDaHZ2SUf7hWaG/eRwINqksEEqGwWkN7CfQBHZp5Gk647jYMlOUPmaX4LIcctNlKXkzX4aa\nZTZk/sM5bezlf2ljLI2Nc7Ud23BghG+7UeMZVSFxrEB57YFblkU5zk+nk5f0g27VMEtxyey4N5Jd\n1lgxJCTL0+AUzAIuEEkwxAWUIjj0gsMe8K4xahq9R3pB0xgrZCvlZyrKLQz9NcyxLVdf2eZ9GU1T\nXtn3PG5bJfMPc8M0OKRA1skVXv4ocsPCNava4sLmrf8SbUJsNBqNxlWiNbBLI6/gpIFldcHMvn//\nPq2bKF1PCiGC2RBRamB8umpjKDOz4+fF5jLG7+1oYKW1yhDS7WqT7J86L1HKh2tgUtekx0gD0zm2\n/tf8iAkRmFQNGQai1bc0D56ZxL3inAAAIABJREFUyVFSYWIaXf3UwIIhLjQjVGKjCXEaIw621It8\nf+d1c1S9m5o54U0FNWVJAf3hEVta14IgnfCnsi+cluUTdxS7YLLO4G/DS1HOmjB6wWJMu/qc9q3n\nbmZ9iwWC1rWj2DXeRRPYRZHl4AKXUlmYZ9/5V6TC+YPJJh2rHFThxEtWO4+pldRIShk6yUoCCx20\nSsrkgDfxgdsPPYlfMCG6D0yMzk1yNDwGAaHR42mHMjkekIVBuxcMp8xMG9GAmaen7UxdfMXhBc1j\nOrFcMiAPNYmEXdaFN8zXBKrfiTmLzi2u5TTbIq1AjVMKiQyN9ztq0oLTVUo+Jrvo5lbcbCY/v0m+\ntDGxfW6bpRXeFuXkvm8NbPiytsa88S6awC6K0r00V9utJKMP2AdWfp+lo0WV2ygjqIUErYuPyCRE\nAgvXfJClT5G0R1ef1rbs0WHNFOXJZw0amD80BLbwSHv3sVEU2qhD+KlROmLD++4045J9gaPIoBAE\n9ipJRe/iUKVZomsn04CzlxpMQn1XFLKqsphqkAbGBVA4OmSLuvLN3Jip2otNyiFJs79zFTG/9dBy\nCViGHYUu5MVc+FUgWjYyWB04Y8NP8rDsjNg8ngjz7jg3MtoH1mg0Go2rRGtgFwUzzwYlzEYfADWw\n0oQlLCm2O9i4wvoxuL5UIK+OA3ZUtC2wazIAUsmQTc9XoDyG0U9i9Ds2RslrGD0LkYLrqBGqj4zC\n1/GY1MDkkNPIhC6Ugx/8HNTApBGqhqAeBROijYfRZHVtGa1zW6NNJSMfSTohCjFrzGEC7D+iLDOP\nx2OytVStsnLDvudubqlH/NM8nm9eKkMsnB+xZUsoVcatkckFpm0vpo3ZALIZs/ERNIFdFDkbt6av\n/9dDNmy0klEu5FlOmRukrSqnICNvBbP+PvJXHVBKN7VBR/TO2PJFM46cNPf398fj0QmMwR3B5KKW\nZ9sOxY18UXN12DTHgb7AaTykjVYjCuVw0+2HNAyGAgZLabhJg3AY4S05GG5yqJ2nX15efNHAOJSp\nSv5UVrUDclL+IU12U5UihC8oXJOG9autH/rN8AYDkWim2bg+EEh74XUHNrL0De5bd/evvWuab01g\nP4EmsIvi+/fv+ph1k9/hgv0o+g7DSU6lBkZZyfuWdjLxmv4P/TwrGWEF/fHVqOBSg+lQgxhySSoC\nu7+/9+tp3TG2QI8JLEKeDm0uR2wLoWscvVKQccRICaGRM86SL3thIJVl2xeS3wuHUY30WM2npycz\nO51Op9PJxozPAgmMq4owJjsjFmhsSRnCSt3L8N59eHPhcp2X2U5/ZXBpKLDARDGNsaMswNed+x5e\nsY1BOlPaTB36u3Un19/4IfSQNRqNRuMq0RrYRSHnTVhtcc0Y9oRRYwu5jmgEY1Vc2+oiX9OuaFAs\nsg5h43r2XQ0sd80QcBhsfTS+lRkxOA558Rv6ns2JDAtc4Bzyv96ssDFx8AIvWqng2qjklRqYlEsq\nYZZ0OBt1yo+bkvQivJHeKVe/vn79amZfv351Vex8Pue8LdOYCGrrtea3XLaw/NWEJCOlgusatm4e\nNhJisb+hkX5ny5trq02Vih1ntVUamO6rJF2t2mhBtSk3OJhMbfzMw4i1BvZzaAK7KLKNK4BykzvA\ngvnCxshsw7eaLYTzuLVrn8AkykOrbPzayy8wF87dt2RgpEOItBQi5g84rlrNC6KHrM+IfP+Vy6Ng\nKeIZbOHotWyqovibKk8SXxAR/GHhr0sVW8/CS9r/pH/5it3ddTqdvn379s8//5jZt2/f/OwCRazY\neFrKsu67Kgksm79C40NrOVYCzXfkLf5EZsySwPJw8WJBEMfbeK6QPooQnhMqzyu80AsyfZ66YRzC\nh8CnhAUc+XiapvDRNT6C5vxGo9FoXCVaA7soFNVdmo9sdINzzU5rVbg5IUxrTml5LWlgXLYrPsJG\nTUh3sqWuNONYWm/m/5Zr6mA6W9YwBJm8DkhA5eH1htj6eQws1FqeB1sfj0ftU1ZMo37loY9MHBw0\nML4sqonUusrsGwYVodRHufoux4fPDUO9wHLod5Rny+2HbkI8nU7auqAFvvQGqhRe57zu3CgDGfjf\nbPB8dzLMY/gfn7sTApOvwyDkCRlq4JwPyq6qelcD4zWNsRzJUDOblJW80PK2H/4cmsAuCn5pnOUf\nx5RCxSh6wneSgwyX8XhMSpYsAgyfIgsE2cG26Sll37NxLMR0icBstRMqAvPTp0/H4/Hx8dHWfPa2\nbu0iYfv929tbp7rj8Xg8Hj2ph/fX48vP57MExwGnYJeeqgNSY5Bx6RThGb4c7fDv1vjkkck/yWPO\n/XA66fTp6el0OoUzdxzBYTPBaOzmuxAJmdu8M2mnFO+uP9GKGCoM00nOwmljs0F+LmsIvaPflIVD\nPZkCc1WhsCU+5tiqkmCup6PO0oe5YzVtbKEJ7NIov/By1RkubIM8ltEplR1UWYxmUVh+wFsaQO7L\nTtdYG2lA0l8ZZqn9yOuuJfnd3d3j4+Mvv/xiZk5Ols6XkaB0tjOzh4eHh4cHpVB6e3tzKX9Ix6ZY\nYhGKP4rvTL26ZoFSFJYjYxsiMshBST3WJvkYDopj4a3HBQ07T60tGlsQmF6qDuVM4K9sg424Vihb\nnp8SCEwfEWNztHebMzlc892Fr48zdutN5VGiQ3orm+KSts00fgittzYajUbjKtEa2KVRLvy50PuI\nwcSwng0LvdJAYe9pAPutXSrPgWHZ+MFqqbtI8XL7nu9cliGOP/GS9/f3nz9/dg3seDz6ctiT8yo/\nrxb4Nzc3rqU9PDwcj0ev9vv37zISbhmFuCKW6TI7RSy9nVxgRz3lwj9XqDfLV0x3F6uSBiZTqvxY\n3vj8BvkiwiDot1T+sjpFRSq0vJwPagOHWqrt1q+yzsRinOfB6iANTJnJltXN5pp9rlD2QO97mO0H\nbIc/VAd4hvert6bDj1z9Cq81jF6bEH8CTWAXBW1NnPo7JkSVyf+Wfq9sQmQNBB+3j2DfyOaOdw0g\n/iyZdHRaiuIyPNidFi3ZGJWe4+Hh4fPnz2b2+PgoTlK2JKU3NLPD4eD1e0oqSepMYGH0FgQUhDSM\nVjlsdJGplwgcyTFhGdUW8l0F8VcSGCPFNWjTGnFAVgt+x336oTTPon9OJ3iV04BUlMkjPE73SXuZ\nAsP4s+Vh5vjP3c7sCTP5ukMv+DiaDXN8f/5aAz+94fS+kOOKc0AXHcfxE2gCuygYruZ3lrQHKAiR\nvEQNn8EyxlDxfv5gwsdD0ZNVE0ECyNLCkwXyf9k1urs826GtaQ9tPLjSxbHW0YrmUGjG4+Oj3Fr3\n9/fMz6umKgpR5zd6CGjuIFfEYlkuNQ6HQ94nqzEPo1euQujMX8a92zaKvxlxpFvrd7Y886JTr0ZP\nahmfKxFPuVkKVjaP/Q08lO/ztzuTKkxvXmvXYOhvOb05Duq7WFxD7cmjcz5MGz+uMFBk+q2Zv4zq\nslXHz4bBMXyDelbjh9BD1mg0Go2rRGtgFwXjrbl221ELljHw/YDEPCpZrkatWuTauEbmopL/ZtUt\nIJj+w69ySVcL3KznkYEeEK+s865RKSXr6+vrspqDspnl06dP/qtpmu7v76WvKHbRkFJE+lMOkc99\n1wYyGd8Oh4OOCHgbj3TJh7D4gjrvCZvXxCIeH+j3mQFkWlOEuLKlkz+zazOPsCXlSYq+bJtMUXFA\nbi26uzg41LbVsNJQvDVDtpA1Nk31Cak6tj6KrIHZqI2psIzA1MC8y0ryoqN8bDQkZltr2IFQNoBv\n0FYFWmoZO5KntFrY+CE0gV0UJDDN7GwksQ0X12HM91Py01ZVJYEJ+xaSIOX5DZO6SpDA3FrosRju\nzXp4eHAhfjgc5nnWISCGvFPedxp/bCU8HjHMrTaU5pSJQdDbKu61V1pWStHe6+srmU+SSK31Pdc7\nRkgW9kgTEZj8fxJe31cYROFbdUpIQO6XRtVW389OC4OVTBcS915V9sNtNSnMar2LUCxI9qXyB5c9\nDeRRLstoncvtCV8QSWXHhLjVGNVWOqRDw/igNiH+N+ghazQajcZVojWwiyIbCpZ0XG9ex5XK1s6q\nM6xA6fwPq9f9Re6MWGf+dcKWZJYPneIj3H748PBgZl++fPntt9++fPliZsfjUZl2dVjaMsYZSxN6\nfn525UwR8x4YIi2wjN+TIc4DzUNKoQNyBDO6hLrLhMgaRZcsa5SBh/KzWu6f9S4Edc1ruL291atR\nwhFaC4PGkzWwKaWYsrTMV0poGsG2LGNUvGw1n8oamQPBQ2xCUHwt6WFTionPMzBrYOEDCbNuqwYb\n1SN2mRE3Nn41oYYS5QdYWkFCneGjsA0rZePjaAK7KPLHk41aQkladITwhzsElsXcjhAJxhDdzxT7\nEUiau7lMBPbLL79oR9e0upeU3smdQJKVb+spIafTSec0elW+x8vpxylHpOKE4VV5nP3Ly8vLyws3\nS1kiMIX139zcyIa5wL1BQaPW6nFO+SEx1TRNNCHKozZjq8BUZeraQvlXvtNSpu8LzdKE6AWYOTMH\n2pHR2Zh8cwulf4jMWor+MI01eizABVxG+dWUo2fj8PKh/Aa1/PKb/lrzRxRYTZOkCewn0AR2UZDA\ndIdusKzTLOnEkFDA0uwvidDxrjOM6tphzAFY9qisROW5mfR4PLrf6/MKv+8/8agNZUGU9JfQPJ/P\nflCIrduTbT27WZEdCw7mEIH5D83sdDo9Pz87mXHHmLz9HlWhwAopVb4D2lKyRCp5JLC3NU1wSWAz\n9sxuxXOH0fbxzMrWjrTdei+8CGRcEpimlseDMKAjPOtd3uWjQ0nWkBs5jXkRwwQOK7ww2+0DGyUD\nR5bjudVmfsihj/7ey9+yZGtg/w16yBqNRqNxlWgN7KIoNbBwM+tPNGHR1qE14GE8L1EBwQzk47bQ\nEJDNf9mGZQwJy1bEnXWl4vq09fjLly+udX358uXx8VH7l9UYuVs4Jlo7f//+/XQ6+Skh3Aet8ypv\nxuOq6TmTBiYT4gKnSMj6Km1MFiEP67cUGa9oaRVY4AOjGW1GGD3VRLqU9DjOjTzODOXfeQWlRsKj\nhG3cuj6lZCt672xt2FxM80CoZF8FDNflozkZgl0x9JFtUJfLF8TQ9tCwsm37OmVWFtUeW40rasxW\nZ1sD+2/QBHZRlD4w2pSyzArf52E3jbpn3daHpJMy3tbznd2Lw7wSuZF8dCk4tiDRoyQIDw8PHqzx\n66+//vbbb7///rutBKZoddl2mKaEAyUCe3l5cRMiE1CJwCakzFAkOpMlet56jqStRk4SmJx2ehF3\nd3de2/l81gvibi3lIVwQK6FhnMdDy2wlEt10MadlRx7wZXTtLNgYUL6+eSNdiFYVel/BOkfPE8uo\nqrDG4uRcVm/lVsMmHHsWRH9+HC/yV6OB1YCokWoGE5roBblvNYzeB02I7Ej4VSDjZfWB0XRZ2jkn\nHMvQBPYTaAK7KOg/z+tHKljCguA6n/r5Yw4fUlg/LmN4niLxGCjx7np5/ybbcDgcQsChmf3+++//\n+te/RGAKPjScdr8lp0QY8mYpBbATmBQLT7xraQcV8wFqiKRpOcK1jhyT/mFmr6+vLy8vkpUkMF/g\nG7QcMQf3JtOLyR2viqXkvxoQymjWHFwsJC26fGxUDUNWKpE332B+rSWBzfOsMV/G7YZ8d7outZyt\naVbyRJbyfLkcai1iuLUu6Gq5v8uK0P78rR2qsBf+asf3xmrznrzGx9FD1mg0Go2rRGtgF0XWwNzO\nIC1kSwMrrfbZc0Y9JqwrqYHRH2CVgT4rZFyBcv2Y15I8edIVLzP7448/tPfr/v6eiSdkdypBl4at\nSTqenp6Uq5cmxLu7u2kNylerpjFbz7IGWLIGGSR5vIv/Soe82KoFKnUIbYlyDtEfqQK0FmoklWlX\nb8TSyR00SE6rzZmWumyEnBHvHlKEqEdUBby/bnBW26gKl5qQ1+CGVj2XdoVldamy5bzPF5QNcSVY\njFO0dHe9jTmRacMIj+Nz5ypMdxqNn1QHdzQwds1gDKctMehz+91vZDSBXRrZajGvCet871Ge5cuY\nLE7flW7Sy02PDhlOniR94drhu0Vgwf6ji2xydPZSvMZvv/32xx9/mNmff/7pF7///vuXL1+YpSkc\no+wihvaWbASTEHl5efENYR5G7yJYviuDL8q9cU45t7e3b0hyL6I6Ho8eEnJcYesOM2+AMuUvy/L6\n+uqPlumyFF42WorC2xTL6owPUkLwBRroxGC6tLQfi6RFYtM7okEyvEpnNT1uS0aLPDQ4nL16WRqQ\nJW1epuy2CtnOFiabCqi/dHlqVnN9xhm+z5ehwbzJMdEoZa8hQX6ax6RxNvLxVg2NfbQJsdFoNBpX\nidbALopgkLF1MUtHbrDSEEExojWG6zjpIkpRYaua9enTJ2WnVbKJYNXJjzAseH11H9bRrn55lPxv\nv/32559//vXXX2b2119/uQnxl19+ub+/l+bx/PzMjcZm5udS+jVjnbUSn7FH2IMpzOzp6Uk6E4/E\n1JDerfBrD8L0MXF18Hg8KjW+b69WmnxZDl9fX3ntgSRfv371QJX7+/vz+aw1PpfkfIN51S8b1/l8\nVmFX+LQx4LDu0davfLMBVRwbrZRBl2UDgnJDDczVlPBctjZYwziNqS9mNSIY4kIbdvSwbAwI5oet\nKHkegRYaTF1KT+cjyq+A2mdQxX5IbWIbbFcNbXwQTWAXRf6i3CtDo5/sPPnn+XsL1frPQ7pFfn6G\nD1tUZ6NHLYgtWwUH5YWYj36vX3/91cz+/PPPf//73//5z3/M7H/+5388CvF4PB7WvObPz8+2uqnO\n57P/19NkOC2dz+dwEmDopsxoHpfoNj0/mcW5alqDDN2n5Tdvb29fX1+9R8oE7+yVU4TIUbcsSzAh\neiO1vczZ67DmDQmvKbzuEGmmISW7qAbx1gd5glKecYaC+ExGSBKYfqU9cIEpZYujSy/YeG0btM4F\nfuI0C687sKzuk/4ZJU+Xqt5antK8YMOyOd0SkXNwMuGFroUR2LnYH71GiSawi4LTVFP/gOx5IShZ\nxfYFFoVIKGOrQ4hySg2g5id1rQxnn5Fm0AnGa/ZfHY/HX3/91d1df/3113/+859///vfZvbHH384\nH3hmJrXHN3WZ2el0Yp4n5erVyV5h5RvUU69HNTw+Pnoj7+7upLvQKSgVTcEax+ORBPb4+Oh6lWpQ\nH20lTqXlZVYqL/P8/EzthxKtVF/8zhsyM/G9sIYgdkWH1AY0YSbsPma1mhVyiAYBqpZrYpBygtJj\nY4T6G9IQb4njZQzosFWxntNpQVoTWKIEKZrSurii4uDkBlhaotkaC6M2bGlFWQNjVexvpt58rTrz\nzcbH0T6wRqPRaFwlWgO7KOYqkag0MFdTZLnSr7LRwxBCzQU+I9Bk53GL0LTGsGmtNyELADfzyoE0\nIchqWTPtns/nm5sbZU7yAD/fsKyI+X/9619uTvz8+bNb6my0+Tw/P7vlkBfuBrMx+DtEwYUAS28V\nq5JfSgols0PJOMZweT8h2tajor3B2sjsY+uF397eHh8fQwynK7j+iG/fvilfsCLj5/HMkdJaOyNL\nk+aD3iCnxFJFxNFo7H/VxozSkEU9iRqALITUwNRCWW6l/XALAX1vpaVBT1eFthGeZwg6D/bYpUq0\nEXYLhJlj4+eWNWD6C8vGWFK8QlVZ/SqHNytbvKC63PggmsAuimxjocHHRW2QOEFgTTjKWeJGP6FD\n210+NkZm07oiUyGzsHsEQShgMCtN2BNjazp53/jlpOWnLTslyHvkrZLZULzlDgxL56+ry4yJmKr4\nlHlN9O7WSIVgqL/MiK8FxO3tbQ6dv7+/ZwCFxl+M4r8K7hYfDb1BNVjvhWEv4S1ks96MvFOeocNW\no1le09DfyRHT/eBBDLZNn0JB4NpoQgxTtzQhckJu8ZYeEa45vSnlVUOYb3l9RrNhuCjbcEiZFYNr\njWsm/rAksFy/JQ6zDQJbRt9bE9hPoAnsoiDr8CvSNVPwaWaXnwrXy6Vn6/X1VYEMzFcb3F22EicJ\nLOxw8i9NK2LJR6kmHsunM7q4R2pGEiYqW1rCZyInJQQNTPqTujBNkwtT3xwWYgi9qa5UuWLhj/Oo\nEzPztMKK8hB5c5zDC3K229I2pCK4HmZV3CZZuZwhQUb7HMgEFqqS30vnnlDjV7U26hxZwsoRy+bN\nSDNIAgtEEvrFGvQgS+BqQzNHraUZYN7Y4pYpZ4tdpqS20l9YBlJR2Qof4z4/ldfzRlxSOTKNfbQP\nrNFoNBpXidbALgqtH7VGttFqn40/tBASS5U6yKHVMVUx+oG8mNQRrnz9gmteG+1aVPikzHG7FfWY\nBQFvCtuT98jWTBmWFJ2pcnfZulgOW9z8TyGkXpmibm5uXGeapkkHQN/e3rq+6NZO5fLYX1zTIKl9\nb/MKW7e1aY8aDV/ZYra1qGdtUpLCJNFAZf11RkA8V/3y7rA2vQjqkcsYAVvqEDQbUpPLyuU0ZuLI\naqvBpp0VkfzzoFwa1PRQbXiVBs2Vw04jxzQmH9Gv8sQIFzTMcpTY36yiTWOQZ255Yx9NYBdFFgE2\n2jpEYPwUObPLzyAIEccbjlCRN8XTKXmBkjyCzBL9ePS8mcn6Z9gvHM4yzv5zfsy2bny2ccPWp0+f\nXPT7vijVLLmslkugkMA8pJ57wmy1jsrwqJ/woDKZEElgW46iKR11Fgbn6enJz3xREsUwpLIesxcU\nkUtyVhkMXwt2vgfLpN7jkk51medZzqoQnh6mExvAlvPiXVFbmhBpHeWMVd/pA1Z/NY2t4ksbHXUk\nEnaNbSvvh8WEhpqfBmvIVW0RGG+q5RpADmlJvY19tAmx0Wg0GleJ1sD+b8BVGJeQ9DAHHzt/y4ut\ndbThkCR69WecnyllQioalYYZCS+UMuN8PishU0jdxOjw7EKfkK5+wQ5oPeLp6Uk2T1u3Biuc3a1z\n2kBNZWJZba1ZA3PFznUvBrAwjJ4x9wb1IuuOwWwl86nHsNga08jc9rbujuB5VIqYz0aq0lo14VBH\nGzNlUI/XmAQjlRqcw/epbKkGWq1DVeG1BtPlfi+84wrEZ+hHmPNsbbkTILQhqJuqOZslvGFqT9C0\nbEMDs3EbOEemVLaoaVEDC4YNotWvn0MT2EVR2tasip6iLZH/ZuNDtpCEiy0RPI1R6SE00cZEhczz\nNM+zi+b7+/vMsvyw1R03V7pkX5bl9vZWP3S6en5+1uD4oZFyYvnN8/m8rHvRGLodhJcSFSr/IQMs\nuVtA9SvW35J4yqM3p0hxxnDSF+h57m2NOGX2fQp0S34XThJeMGouhIkauGprPgS+DN3M1zZG/S3L\nQlJRS1Rb+FeNWUZnbdiEwIUIlxFK1HlA0vdybcSbJFESBsvPOJYzMw0bT+7MfJwJjJPEKmdkWGWW\na4LGD6EJ7KLgKphfFz9+xzQG++qTyB+SpW81fLcUTKExzLEkqaTgDub9084tbWG29fQKG08l9guX\nU5TLN+sJJjZqOf6rw+Eg6WYI0FcK4MPhIN/b6+urVu50XCk3ktQj3xKga+lzpRYSHD9azs/YwDvv\nnlTiz/KWPzw8+K/c4Sf65w7o8qVQXpci+F2RV/qBsoCecHoZNQ9yAPs7rQ5LW6clvXdbraKU5xa3\nvEPAGxC2ELhalld4Wzxt48wvS6o9fNf5bbKGLQ2MpPVzBBZWA40fQg9Zo9FoNK4SrYFdFGHhb+ty\nLDsnDLZE1pCX7eVCPv9JIXyqWaeEBA1Mq/LX19ecKp71aG/y09OTrHYefeeP8LM/bI2ElIrDPBe0\nFFFdk61PNahhyt/hJTV60tLoYwh2njKXhJxV1OeogeVsSbxJR5Ty3D8+PnpVDw8PIYe9To2Rvkjr\nHHukNqjwgsyzdLcY1HTeD+qIjfoiB+qQUlQY1NM3ZBymrhYKByXDW5J3PdMyqZ+z5dy2ESyfQa9y\nRYcqox7NYVEfF+RgC4/WzR2dMgzpztcXBqRUi2nG3KmnsYUmsItC30mYuBJe5TaaICPyd8VPonzu\nMmYBl4zQObbudrLV1eEFeNaJEhXSzXA6nf755x9bozlUrW/JMhxKYsntocd5tU9PT09PT8pGLykz\nj75x5ycRp/eLmRv9WrH+HuCujVkeNG+jD8yjMGxNJSXRTD5g8HcgMA+jV3TJ4XBQei2/8JLeTd+p\n5oPz8vIikynNuZwG85rHxJARkfm39FwDjeXsGJwzB+TeXFa3IssEi1lJA9mUHYiToyQqYuLETBgl\ngflkmFPMjhpGslnGlPnZMjzP82HM7aJf0e5XLhPzUqD87rgO4yM4UJnA1IDGD6EJ7KLwowstuTdI\nYNlJo2tGnW2RVslh5VpSn7qrYvzClQxJyZ8UATgjbkLVzvMs0vr69ev//u//5mMhy0WuBKifiuJS\nflkW7VfzPWG2brFSezzaUNqbjaF6t7e33hhXDf/++28z+/Lli3L1KkTw/v5ex6k4vfn9aUxSl2U0\nRS2PVpnW8JPwLnQWmlO1RtVGCRscPOIhjYMrNP5DHaQZ5COHOgtTqr+aRdQj9avQXwrxzCgzNtRz\ncEj/YTt8mJ+uZPtAUfRrNRMGp6SZTIFeg76gQ9qnzHHI16p2Z40YblKRDbPdYHXgQkEpTBs/hPaB\nNRqNRuMqUZxb32g0Go3G//9oDazRaDQaV4kmsEaj0WhcJZrAGo1Go3GVaAJrNBqNxlWiCazRaDQa\nV4kmsEaj0WhcJZrAGo1Go3GVaAJrNBqNxlWiCazRaDQaV4kmsEaj0WhcJZrAGo1Go3GVaAJrNBqN\nxlWiCazRaDQaV4kmsEaj0WhcJZrAGo1Go3GVaAJrNBqNxlWiCazRaDQaV4kmsEaj0WhcJZrAGo1G\no3GVaAJrNBqNxlWiCazRaDQaV4kmsEaj0WhcJZrAGo1Go3GVaAJrNBqNxlWiCazRaDQaV4kmsEaj\n0WhcJZrAGo1Go3GVaAKeP08hAAAAoUlEQVRrNBqNxlWiCazRaDQaV4kmsEaj0WhcJZrAGo1Go3GV\naAJrNBqNxlWiCazRaDQaV4kmsEaj0WhcJZrAGo1Go3GVaAJrNBqNxlWiCazRaDQaV4kmsEaj0Whc\nJZrAGo1Go3GVaAJrNBqNxlWiCazRaDQaV4kmsEaj0WhcJZrAGo1Go3GVaAJrNBqNxlWiCazRaDQa\nV4kmsEaj0WhcJf4fz3CNRoFJnWcAAAAASUVORK5CYII=\n", "output_type": "display_data"}], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(heat(f0,2));"]}, {"source": ["__Exercise 2__\n", "\n", "Display the heat convolution for increasing values of $t$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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g3O126LvPQdISzaWtPgesT6F0RdbsyNyICjQZxhGDtBWbjg4HpjV8DnOjlQkX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"output_type": "display_data"}], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Bibliography\n", "------------\n", "\n", "\n", "\n", "* [Weickert98] Joachim Weickert, [Anisotropic Diffusion in Image Processing][1], ECMI Series, Teubner-Verlag, Stuttgart, Germany, 1998.\n", "\n", "[1]:http://www.mia.uni-saarland.de/weickert/book.html"], "metadata": {}, "cell_type": "markdown"}], "metadata": {}}], "nbformat": 3, "metadata": {"kernelspec": {"name": "matlab_kernel", "language": "matlab", "display_name": "Matlab"}, "language_info": {"mimetype": "text/x-matlab", "name": "matlab", "file_extension": ".m", "help_links": [{"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md", "text": "MetaKernel Magics"}]}}}