{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Linear Image Denoising" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour introduces basic image denoising methods." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) 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" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n", "\n", "\n", "library(imager)\n", "library(png)\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n", "}\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n", "}\n", "\n", "source(\"nt_toolbox/toolbox_wavelet_meshes/meshgrid.R\")\n", "options(repr.plot.width=3.5, repr.plot.height=3.5)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Noisy Image Formation" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "In these numerical tour, we simulate noisy acquisition by adding some\n", "white noise (each pixel is corrupted by adding an independant Gaussian\n", "variable).\n", "\n", "\n", "This is useful to test in an oracle maner the performance of our methods.\n", "\n", "\n", "Size $N = n \\times n$ of the image." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "n <- 256\n", "N <- n**2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We load a clean image $x_0 \\in \\RR^N$." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "name <- 'nt_toolbox/data/flowers.png'\n", "x0 <- load_image(name, n)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the clean image." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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HgwGIzH48lkgpKL2sO9kwWY/Y2nDTmy\nBSGwHY1G3W735s2b4/E4Ho/D7LyAJRMqHwwGvV4PdvbvMBqNRjwePz4+/sY3vvHRRx8pTdAs\npaPRiIvMDeKo2HPwKYT5nU6HG8GV4SBZeDKZDLz/mMMQ9CJCbF6EHqKu8uydnZ0dHBxsbm4G\ng8FYLLa2tnZ6ejoajQjZeISgUaQDiHg+n+Nji0ajo9FoOBzK7hI+hfWI8vwKuFIKpvO0wYsn\nXCkFYfFY8nq/bssTyxMobyUCAjomvCBBXyQSmU6nlUpFzGH5fP6VV16ZzWbvvPMOiUHJoI5G\no0QiwRrT7/cRtV3X/dGPftTpdCAsNuDtdrtWq+E8OTo6arfb5+fn7CdgcIJxrgYrHPEsoeX6\n+rpt22dnZ8lkkthTNKXhcJhMJnO53OHhoWVZqVQqEAi02+1f/epXSEzwHek4Fi2Ij5/ZAaRS\nqUqlgtTLFwBFSO7d2dkZtxKXDld+NBqtrq4i+rMQkg/k0nFZMpkMV4xdC3cBYQRBqdfr4bRZ\nXV0l+ckqxV1jDWC9nE6nkUiEBUkphXbx61//Op1Or6ys9Ho9fs+GSQxCyWSy2+0S6cdiMcQr\nyUsjyvPF4MAgdy6FXI3HGUbiMDAwMFhQmAh6ESGarOcrJ1HazN/v95VSo9Go3W6PRiN8uLVa\nrd1uJxIJzHYkiAaDQafT4Q8Hg0EmkyF+GY/HrVZraWlJdpFI0hIFK6XEhoHK4bou+1OpSpDN\nvlih+aU4wHgHxBaiY0vXVhAL417gExOJBOdLaCk6Q6PR+P73v396eppOp6fTKQoygedsNhuP\nx2IYYN+glCqXy8lkkuuAucKyrL29vV6vR76r1WpxDdk3cHiIM/xyeXn5iSee2NvbE894OByO\nx+Mi40j9CB7EVqullJLwMx6Pt1otJFcRf/2mRskEELPjZGDTI98Bv2GOrUYkEhHfSCqVmk6n\nxWKx3+8TGkejUb81LRAI5PP57e3tnZ0dpZRkDvyVPr1e7+zs7NKlS7gJSYSyScI0TRSPvMM9\npdLE1aUl0+n0+9///oULF+LxeKfTQaOQhKFt2wTpwWAwlUp1Oh0S0Vw33llMKewPxD3Z7/f9\n+efHFoagFw7y7ZdHhUdLaZrudDqPHj3yPC+VSvEUsZtmQxqLxagEYZ+IwMr/sqmnvHA2m7Xb\nbR4VJGY2yNAHJjwMZJAL3Afhsn3m54AuBXR8JYuhUIhnm3ejVoKsHVl+KWrgz4W5yIDhzUI9\nTyaTzWYTpUIcY2Lk4uGH1sWzQQqOzTLXLRAInJ2d9fv9UCiUSCTS6TQmayQOS1cP2rruLpvN\n5vP5dDp9dHS0u7tbq9VeeOGFJ5988t69e2dnZ5Jd5B0oXIRx0EY4TlzVcCIeasR3V1fxcb5y\n9fxLI6+RtB4ZP9QYNOhOpzOfz+/cuYO90rIsDDAI5dzB4XB4cHBQLBbn8znqNo49BGvSqtVq\ndWlp6dq1axyhp83arLWIG9xZlh+On+vML13X3dvb85ugIXSuUq/XGw6HL774IstYt9uFkcU3\nwrVSSpHl/vznP394eHh2doYJ59N/+hYNRuJYOLg+KM3XQAxejUaDlJpSikxRJpMplUpXr151\nXbdWq52dnaEbQnbZbJYaExGX4/G48nlsWQzE2UqgpJRaWVkpFAoUcYhDi9fD0TzPYvXDcQWt\nkDpDqKVERZ7zaDSK90PcZpAL3M3JptPpdDoNUcKh+N6Ic1mEiJEHgwGKNmc3m83Ozs6Oj4/b\n7bbYBsLhcLFYXF9f58nHmsLpcPBQG8tbt9ttt9s3b96Mx+P5fP6FF164detWIpFoNBqYef0m\naGidbBjXTbYUnAgCvfzAZbF0ATSkJsG7bE3EBQy/s3MajUb8LaE6fyXWZqVUJBIpFourq6uk\nAb7+9a//4z/+49WrV5PJJP4ZLjUHs7KyMpvN6vV6MpnkpDgAbnG32z0/P6cmk5wkQrN4Qlxd\nbAlxy8aCDQ2nxrfi3r17JycnonHHYrGlpSWuA96eeDw+nU7z+fz+/n6/3yfyMAStTAS9gOA5\nl4QSO0rP5wmdzWa1Wm08HlNwRZiDRTqTyWxubna7XSwNAPpoNpvdbtfzPGQNYigIztZlGuLP\n4wWWZeF8Ih0v8SlvqHQuS+nspVJKqlcIqdiuUgqsdBUDj3cwGJQSPn4DE8neFjKSj6P+RaJy\nidx5sZgQIBpsYf64FUptNBrz+bzf73OQWKSTySTVK64uBhmNRrdv33Zd986dO8vLyzdu3CiV\nSqenp6gclnZPc3lxLLBguK57fn6OmIPjhYvg3/tLlwziXE4K0YY3xAtIRC8XlmSghNiSRGUn\nxLLBsscXZjabra6u3rp1a3Nz07IsrH7cdNu2eRn+jcFgQDE9F4Qb4ThOr9dzXVdqZ5T2afAa\npW2UrHP+bZMszzj2uPKUQfIVomKe3QZHorQmwzqNk9IzPmhD0AsIv/NMJA6JJvj55OTk/Py8\nWCy2Wi0IHTKqVCoXL15cX18/Ojpip0lozBNCoTNOVcmSo1zzdFEcIZZn27ZrtRpxH/4wNArU\nQ7QRITUeLdxvEtA5ur7Gv9mHAeEpIuJGo6GUonURkoXjOIVCQSkVj8exZz18+JDtNk4JjLqu\nbq/DMbN/x/dm+6rPI5FIpVIRE8JoNIINKaJrtVqIIeKB8Tyv3W6//vrriDBHR0fZbJZQnRMh\nOpZDJa7kErF0wVkwlOd50BPHwzmywEC1OO1EjfVnHeQ3nJ2sbeKOIFIWMQQzOGw7Ho//5V/+\nZXt7u1ar9Xo9fCmZTIa912QySSaTmO1ks0U1DexPHMBaKIGzHBhLQiwWKxQKlmXJ3gKLZyqV\nIlLmFpOZSKVSxODT6bTRaNAsJRAIsBKzLH3mM59BmQlon/5jDkPQCwfJHfl1Z083JON/R6PR\n3bt3r1y50m63JZ5aXl5ut9vlcrlYLKbTaYJoOJrSQZ4QpVQmk6Hzkeu6MJ0UwhCtk5LydMmv\neFfFIUtE5j9Iz2cEJAKChiAOT1cxUI/AMVPT7LouCikxsud5k8nk0qVLr732mlKKgmk6Pxwc\nHMj6QccfokVCbJKcshKwGrHqSKkO0TTh9kx3VkNtgHyF1hFGlVLdbveXv/zl6elpp9OpVqvS\nAARGc7V9kA/i7mD+s207mUziX57NZrAhN1FED1lLOClIXOrXCVRpPqd02lbIF6YWOubP6eDB\ngtrpdHZ2dsrlcqFQ+OIXv/jWW2+VSiUMdkSytMGKx+OQIyfFB41GI5phWdpZ75fa+D7wT71e\nT9ZIbjeQa8IxdzodWZZY+5GP2u02HaxYpfb29vCey3V4zGEIeuFAlCQ7aIns5H+VUq7r7u7u\n2radz+dtXdUdj8dt2242m4eHh7FYTJ5nWzeXcByHpxfvgVKKoEl0D5555MWArtCjHYen7c+D\nwSCZTLI9n0wmFC5L/GVZVjwepzhNkmloAmxmpZqRT69Wq0JYhG+g3+8fHBwopVBIiRlzuZxs\n/ynQEHDMMCAZTqWlZyzDRM3sslkbWLSoRpHeocLLnD7X4eDgoFKpWJbFcsiJS6zNFbNte3V1\nlWB8OBwWi0VILR6Pw0eI40oXakrmEJuNmCuUltepMSG+nuvOGHwixJdOpxH32W9Fo9F8Pl+r\n1TD2EMAWi8V4PE69DJWQrutyCyjho8JTKSXF7tQToT6zQssi7ZezRDdXvhoTlgq2R/hMRGQf\njUaHh4dKb6cQi5BEsMpEIpF8Pv/uu+8qpTg7E0ErQ9ALDj/HKV+gqpQaj8eNRiOdTlOLrJSy\nbbvT6fT7/dPT0/X1dUJgOqIpvbkmUeN5HsRBlEQpIPY1EUNRNolM+XNanRGNckiUVhNU8pTC\n6bRzgrwCutiX35AhJHKH6aTnETIrK9M777yDLpxOp4vF4tLSUjKZ3N7ebjQahKIHBwf8uf/U\n5rqxhqw0UAbH0G63pXESn3vt2rX9/f1Go0G6T8R3gm6lG0yLJjDXjYE8XZ7Hxh/SuXLlyv7+\n/unpKco+Cw8NTDqdDkI8nxKPxxGCLN2/wtZF+UopuNXRrYVwBNq6YTd3k86fnCNMR/snS9vy\noNRCoUCbKilI4a7xERha8vk8Ze75fB47neM4cHq9Xud9WCeQmFgLJSEcjUaxZKAdedooya0U\npYJlydK+IKrV+RMWxUQiUavV2FGx/onQ9zjDEPTCgSSJ0gLuH6RKxBvgum6j0eAZQ8EMh8Mw\nY6PRCAaDmUxGyuR4qFADYQGeFlcXZKMbij6A9QKKUUrxzr1eDwUZQZPMJISrlEJhIGgl1kZF\n4ZiJ2dkm89EUNPIb6vHkBHlbnHCu6xYKhW63GwqFrly58sILL4TD4du3b+/u7sbjcVpD8Fnp\ndNr1ORQdbT2W4rp2u10qleAOqhA3Nzd/85vfyHaBxYZlidWF6I+VQ+QFR7sMxXoB7b7xxhtY\nQRzHwU+WSCQoEyf0tnXtvmyS5rpfCtsLkbaVUqgBchZcQxYeOlIR28rxIPvK+yAQDwYDQmxR\ncsQrTR6PLwYMy0qAVTkWi9Eni1wiSVqlSy5lG8dGBKufbdskG7l06XSaRcjWjWU4ABIeaEq2\nz0LKForvSTKZ7PV6GI0ecxiCXjhcu3bt61//+vLysuM4H3/88f3795HklC5e4BmwLGs4HLZa\nLZRlS7fMJxyr1Wrz+TybzRKLebqxZyKRoNeB1EwTMdFvTJJsSqe5eLbFQ6aU4jlEQ+TZ41Gs\n1WqwD7UhYkfjceXIpTMyQTRbeFt35BBJF+JAmqzX67Ztr6ysLC8v0+K9Xq83m03o3h+Y45yT\n1qCy9hBcP/PMMzT/g2gsy6JHD0wnBjiRd7na8COfQrW00oGz7Og9PV0FwYcWmoSKJGNRD8Sr\n4OpKHFkYiJ2FoAO666koXdwpriFChLg4lE+bpmlGv9+nTodlNR6PU2uOrqK08A29siA1m810\nOu04DqNVaM8tZURKm+Ho+8wy7GoPKJYhbOlz3cyEFLTt63IHj5P4tXSz8kAgIMsqJwt9k8CQ\nNh2PMwxBLxyy2Wwmk1lfX8/lchcuXCgUCng2lFLMgvL0DCSy56lUimIEnkNxU/X7fTaMEKLS\npreZbt5PBB0KhZA7CIE5BnFNwbN8KNkk9q1SV6aUooUeEgcBl3gkXF2GgGsKyhNviaU9Z7Rm\nnuvuzGzAOZharSbrQbVa9Tzv6OiIjne8iZAp/diI3wk2HT145atf/eoXvvCFH/zgB7gsONOl\npSWEaUhTWrJxGVGrZ3qwiPLVkojdAs6FXqFLPIvcGnYhx8fH8m7iTltdXa3X6ygGXE+umCSE\nHd2xiAurdLKXRUI0fa4n7pFOpxONRpPJJJZzFGqpKVXaN8lywtIo4kyr1VpeXiazCl9Duwg4\ntNf4n/0/Ld19SXKYQd3IEO1CWsGQj8WQo5QqFAoMjkin0+RRlVL4kfr9PockPToecxiCXjiQ\nYlJKNRqN3/zmN2wbUZkvXbr04YcfDgYDkUHn8/nZ2RnlFTzDSqnRaMSuvN1ub29v0zkooHub\nkbwiq25ZVjKZRP6j0E7awIupIxaLSYUuNCoZLdhKyoihA/bgSiuh0i9YPGr8r9TCSKJfQjY4\nUeZLDYdDQjxblw4T5ksEDa3PdEc9V/c1hl/S6fTnPve5fD5/4cKFg4MDFgPLstLp9AcffMAp\nh0Ih/OPVahWZSK4wRON3pnObYFUxYEB5BKSWLlBETnW1B5HrE4vFvvrVr7777rt37twRT7TS\n6oHSEoc/QP6DJUEpxQIgr2F3QrKXZqr1ej2VSmUyGaQqiWSF7rEqIlLLLUB8Z0yaLB6hUIic\nobS0Vj6pjVWWezrXgyhFbXd0ZTzpR2IFBCtuhNg9sZF4ntftdlutViaTcUyhiiHoBUQkEnn9\n9ddfeumlSCSSzWYvXLiAgKCUevHFF23bfu+99+BopZRt2/1+v1wuU48gokE2mx2Px3zXmS0i\neSdS6rPZjP1voVCgdo7BhhiTefjZoRPs2L5WkyFfv/n5fJ7JZKh5CQQCPHVSAg6p8WCjz7JO\nEFaL+8LTZTK2b2otP6RSKQnoAoEA6oGrq2kkyMKu4CdTwsPZbPbkk08y3W51dZVucP1+PxaL\n9Xq9k5OTcDg8Go3W1tZu3bqllPrlL385Go3oraF0GSfBrKchgaGk+JTu4hkiNXoAACAASURB\nVM1H27adSqVcXffBjL5wOHx2doYo/K//+q+savwtyoA0b+v1ehA6NMq4A+XzUINoNNpqtWxd\nAkOo22w2bT3KNhaLNRqN8XjMrsLy1XayDEtwnUqlJKPL8obJGlJGOeEgidk938haVjhWKckw\nS3Bt67J1Ww8OTqVS6BvBYBCfNZeRSQ40WXzyyScfPXok+7nHGYF//ud//t8+BoPfQ6lU+sUv\nflGpVCqVSq1Wu337dqVSuXHjRiqVQkmk+7PwhVJK8m/osGh82KokyyQp+Ol0Kk4GpVQymZTA\nk30l+2hPT+JgzzvX9Wl8hLg7iMHp1OMvJpb4ztMNOsRMLUkqIQjWDKX9DJCXpUuH5d0QW8hS\nUhXJYa+urobD4eeff346ne7t7cViMSZLKaVGo9Ff/MVfXL9+HSV6e3t7Op0y49XzPOTsQCDQ\n7/ez2ezGxka32z09PeU6u3pui98GIwoygikxoKM7u4p0w7lws4rF4pNPPmnpMYOIUZIcm81m\nCLiurpwO6AJuyShwAORUEZfFBQFvWtqGLLKy7EW4KXwrEI4cX0kL+V4ytHQY73Q6uOlpyQ1T\nE+eK5qN0sw7xciAQEUojNLEYs9dBH+NrI/5xMYCjpbBUs8xMp1Paobz00kuf+vO3WDAR9MJh\nZ2cHfXA+nzMMu9VqHR0dKaUKhYLjOGtra/RL4vUQGcHUpUuXbNuGdKigw+RLETDN6ee61UY6\nnW6324zCIlE2GAyazab7+y5sGYrqF5p5kAjEaLUsyXo5KnnqcMXKxBb2v2zGqePg/QN6ZB/P\nLQsABZC05ZOCFFJwvGA2m73yyivn5+dvv/02awwEBAlGIpFUKgWJoIHmcrlwOEw5z9raWrfb\npZH/m2++eXx8XC6X8UcL8UF2bCCERFhsWOE4WVYaqBNROJ1O8w7T6bRarTIDpdPpiCJM/hDp\ng0XU1cUgcBkmyJlvjAt+m3Q6HQwG2YXIeuCndVbWfr9fLBbRKJRSdPrm09mgiEclGAyy+ZhO\np/1+v16v47CW4Bc6Fvee0mKLp6uTbNuWsTtY1LmhYT1t58KFC81mkwDZdV2+kNTc+2vfcd1t\nbW2xbv1RH7T/EzCbiIXD+fk5JciorkQ6RCI4z3K53EsvvYQrTraQ9GQol8sMXZZOQI7jtNtt\nah/Y9sozk8vlisUiIq+nm+ch+IrCS5RUKBQoaoD3h8Mhc0kkchexFfFkrjuREk+hRHu6poNq\n4OFw2O124ThLd3hgB23r6nZWKbFD0BSJhYElAU7/wQ9+MJ1OP//5z0cikUwmc3x8fPfu3aOj\nIxFnJJ04mUwqlQo9+IvF4mw2o1NPMBjs9Xo7Ozt075SQ2dLN+UQiEB60dJcMIalAIEDXId6h\n2+3Ca5VK5c6dO9VqVXjf093sRDmRTYOly0BwB0oSVa5zMBjk0lWrVf6Kr42IyCQDef3NmzfJ\nIVNXyVnggObmplKpdDotsTCOQOnQz6rs92xY2izk+goLWf84I7w9ls+wz/LTbrelUwfxNWuA\nOJREeSsUCuRvP4VnbfFhCHrhgMNfWn/RWRhKIuvted7ly5efeOKJgO7nENDVxq1Wi5GjruuG\nw2H2ztPpdHd3t9vtikMLXcK27bW1tVKp1O/3eWL5QxFSCfFEbOUhx5yAXcTTk7CpbQvo8StS\nhCb74n6/L7GeDA9EmJZAFXk3oCcxcjVgbTRc2vrA74RX6DYnJydYv/P5/Nra2osvvphMJuv1\n+oMHD+gy2uv1Op1Oo9Go1Wr1ej0SiSSTyWq1WqvVUGaSyaTruvCFbOfFWMIpiMvQf2CcgtIC\nCJUgXDF2HuzfZ7PZvXv3dnZ2hNOl3od9BgEpBG3rcnO5HUoPR1dKbW1tSVAvC6S8j6N7UkOa\nP//5z2mnBX2H9ABAnMgUW2O2gYXr9TqVkOjUUpIuJy5Kmq39f7KaSrmN5Gn5PZIaxI2yZOlh\nWmJK4X1YwKrV6ttvv31ycmIqCZWROBYQfJUJ3Bw9/Q+EQqHV1dVkMlkoFF577bVr167t7Ozs\n7OyIP5oYhLLATCaTSqVarVapVHL1lFgJ0Nhm4qRut9tLS0s06CDGEfWAA4AmqtUqHmEps57r\nTnsicYimTDQHg6CHSkgoArejS6U5ayFr2VkrLdF+/etf/6//+i8me8kyQ3PUK1euTKfTnZ2d\nVqt15cqVwWCwu7sbi8VSqdTp6emdO3f+4z/+YzKZ7O3t5fN5y7KOj4/7/f6jR49YCGVZElFV\n+WZToQMEdOsJEX+4nq4uNnF0c32sbwSeId/0XjlZSRu4voZwnjaNSE6SBU8pNdfNS+V9GLMd\nCAQo9WRRFDaX+6u0KZ5rK7XpId3am7uM7CMZTg6JtrRKN+qjtbSsr44ekybmDWJwR9cooZWJ\nbZzbNBqNKNlHIpdlSTQTR0+SffXVV09OTiiVNDBJwoVDs9m8fv16MpkslUqxWKxer5PT45kv\nlUpYVi3LeuaZZ775zW8mEolqtUpLB+XLE1L9Jf1CsWGJsYkfiECRa0ulEuEeRE/YBT3hgKZB\nUjgcJq8IRSKG8hCKH8PzVfpKCQZpN9l9E1cqLZvCuQTmHJuUU6KH1Go1koSEb/IpkNTGxsZo\nNLpw4cL5+blt2/SJR2Ypl8tKKRakRqMxHA5pcKx0LRw0hHDMIUn9JMfs+qpRlM/rBoTKoVqp\nuHNdl5nrc910W8wPnq+xlOVrnYrO4PpsjnzWXHcgUUox+gQa9Q/EsXyFM1xMBhKurKwQdE+n\nU/ZA+MoTicSVK1cSiQQnrpQqFouNRuPs7KzVas1mMxwg7HX8uUHL173L8zzCBSon+QiGSESj\n0RdffJH4PRqNorwFg8GlpaV6vY6xh7UB/d3Tw3+j0Sgl5levXn3hhRf+uA/bwsMQ9MKhUqkw\nWuKFF154/vnnL1y4cHZ2BkGsra3RfAMJr1arXb9+/bOf/WypVHrw4AEWtHA4vLm5ScTaaDQY\nbk1+jxAYawFsK/t3BlOJu8DVLuB0Oo3fA4JTSlm6Rs7S3gwoSSqSiYzi8Ti+BaLLuR6h4mmv\n3lxXJBN7BnRvJqUTjHycUoq1gcnTdLIn3xUMBjudTrPZLBQKtm2PRqNsNntwcEDZNywMMfX7\n/Rs3bmQyGewEiUSCfT1Cp9iTPe11s3wGEqXlXXFtS/WKZORkjfF0LTiHzUlJJtDVBm1Hd2Hl\nBOW6yQrH4iQlRY5vfIkEoaxS3DiWK09XMMk1dBwnlUqRBJbz4i6kUqnLly8rpVBmSKJWKpW9\nvT1Zw+i+QvGnLPCiPovDT7ze8s0M6r5aZ2dn+XyeAsv5fF4qlUqlEo1BlFZm+O9sNqMflq0H\nSly6dOnZZ5/9lJ66RYUh6IVDo9E4OTkJBAL5fF4pFY/H19bW4vH4+vr61tbW6urqyspKJBKB\ntTc2NpLJJDOl9vf3eaTRGZVSRCXQbjabJXfHw08YRbDJ00V5C483Tc5gCmIuqWBU+jlHarAs\nazAYSAt8nLPQTafTwVNha4TDYYxWxKquLuwmGOfFHJ6Iv/w3EAgsLy8jj6B9o5YMh8P9/f1M\nJpNIJLa3t8vl8tLSEkIz5e9T3YB/PB4///zzSjsuWDyI75QWf5VScA2rkaeL7jxt4+UGOb6a\nQEsbfpVuOQIXi6cQdsZ8Iqfj13Bc3d9V+awRnq99Ph8qej0uFKjZ1c065npsoK3rEoWLXdfd\n2tpCo+A1XOTr169TV80GgsvSaDTa7TYzE0gpy06FpdHxTUr0tHVarNAcifJJN7KKECK4rsvw\nTMod+SX0jUWaWxCNRqmnvXnz5qf23C0mDEEvHBqNRjgcfvDgAbVVh4eH2Wz2ueeeu3Tp0sWL\nF1dXV6PR6MnJycnJyerq6tbWllLq5OSkWq1alkUBMZ2PkEQIpYk6V1ZWJpMJQjPPBvqGpzt1\nEJ4TyyQSCSwNns9PJo9rWM+gm+ohe2Ic5q34IFv3YJOBs0pTEtRPGtPSdXHswdEx0EaUHmjr\nOA4KjHgGkslkv98/Pz9fXl7OZDI0pXvuuecImYlnKTGHyh3H2d7e7na7jUaDYhAKc2RerQS8\ncI2t6/osn2HD87mhhaqUb8vP516/fp2dPiuTo8vELe1XsXyVeBJ0K1/DQvf3W3YorSnTHhpK\nJatGSI4OJpUmli/Lms1m+StWU8uyrl+//uyzz4ppeq5bi7TbbZyXrBm8G5UyELRE0LwbyhvR\nd6FQmE6nxWKRkiIuhaQBE4mE1IuLGILOLjd6e3t7OByurKxUKpVYLHb58uUbN2788R+4hYZJ\nEi4cDg4OGo3GYDAol8vxeHxjY6PdbtN7M5fLDQaD99577+OPPw4EAplMpl6vB4PBarV6cnKS\nyWQY89zv92u12vLysqTgJpNJrVZLpVLQIhIklApFsgNFBITW6/U6veKgcqJpvASS7GJOHdqC\n0hV3SmuplmXh5xWxNahnifq34bK153NpZ2HrGhYYmQl1rAp+ofb09BSd1LbtTqezvb196dKl\naDS6vLz8s5/9rFAo4BZAEL979+7Vq1c5BcI3zCHs6Ak/5finenaqbdvoOeK7cHydTESml6CS\nGLxarRIve75uIco3Wldu9x/8r9KOPVsXVbp6lhj3CwM7JmVuHFufUql0fn7OHxL+SyuVfr+P\nj4IS6s9//vOf+cxn6vX66emp0lXjcqjE+xR8W5a1ublZLBYZNOzq/lOWLiN0dGWNbdsM0OKj\nuSCkClkCCRHoEAtxd7vdUqkk022ol+HS0ZiJzkqPOQxBLxwGg8G9e/dms1kikWi325lMxnVd\nhkI1Gg1k5WAwuL6+HgwGT09PyewzzymZTCIZt9ttZq0G9SRWqYwolUoE10SmcKgInSinc99g\nUBjN1pUIhFQQtEx9piBNisSUUsSn9GUnxIOvbT3/kLo4FgCssjzkIokI5eE4JNi39SgWfh4M\nBoVC4ejoaGtrq9/vn5ycvP/++0888cQnn3zieR6ZK3hnOp3WarUPP/zw1VdfJXWWyWTwSqPL\n0/6UNqpYrYO6qZPydbt2f9+sbem+9ZavdysbeTGisfi5GsrXyMLz9b2S5CFqvuObkh7Q/e0K\nhUKhUCDnRjAuyx45Q0ic9q25XI4hNTIH50tf+tIrr7yytbXV7XYrlQopX1YOkqX8F6cdqsjO\nzg5C2cw3QAdY2itCaGzbdjabxe+stC2P2kWpa2V7ROCPO7vX60HEm5ubYsij+tFYoZUh6AUE\nxReEEvfv34fj+Lr3+33sB4VCAQHx+Pg4Eomcn5/TQiidTq+trTUaDSoySCouLy+/9tprt27d\ncl33wYMH6ANw697eHll7no3pdMqIQtlld7tdx9c5nidH+qjBDlQ8UwsjwitPI/Tq6cZ1xMi0\nY8azMdEDVQN6FCwLifgTHMeBHSxf7YPoCZTVFItFKtM8z5vNZsViMRKJXL169eDgAKmdXTxT\nWp599tlCoXDhwoV0Os0wLfJsMnXFr3Szx/cXcHs+p4RIH/JPyOUsb2IMFx+e0owsWxD/fbd9\nzT0cX+c8YXCl1PXr12Ox2LvvvsvGQlwZBKqj0SgejzMgmI0U5MvPr7766ssvv7yxscH+gJae\njh7vgreHD5U6IzITUuXPmsHRWjrBy1lz8SeTCVIbf8IvsZ1wa8gi9nq9UCjEl9m27S984QtK\nqd3dXRyEIT3xi36zjzkMQS8i/K0+Pd1sSCnladNoLBYjXR6Px8vl8vn5ebVaLRQKkUhkY2Mj\nl8s5jnP9+vWXXnppfX09Go2urq6ib1y9elVpKiEE7nQ6u7u7lAbQ4mM0GlFhiJg4Go0kx4VY\niQVC6XnhJIJIKtZqNRFeyWURxrJ7RY4cjUa0ThZ/Mc8klmdX11LTEm+qu/t7uuiZ17uui0lj\nMBjkcjnyWktLS3t7e1/+8peff/75er1OLZ+UeKDzPHz4cHt7+9GjR+FwuFarcY742ISJLF1h\nIRWYolT4Q3sRph3dt1P9fhc6Szf54zdB3dBOVAKJvm3dBV8pRb8nhHgJrrmk1OmIF5C2c2QO\nueC0viLNwAhzLqxlWR9//HE8Hn/++ee3traYB4/Ow1Ix15BsrdJeaRZjXsORs27xNZBrNZvN\nZAwmB08CkPCZdyYdYuuaFJTuTz75RCmFhsbigVQiNp7HGYagFw4UdND8k4dBtF2yMZFIhPCZ\nJF61WhWdFJV2fX39lVdeuXXrVjabdV232WwSzUkeTDgxHA4z9ePy5cvVavWDDz64ffv20dFR\nvV6f6QlGiIMoEgijZA7FgGHpbmrMC+fR9Zus2QTwQAqp0fmXkBnGcXWJM7wgzydGCNnmi7uL\nTCNh/traGpnAtbU1Gm5sb2/3+/179+7RmcTVo1uq1eozzzzTarXK5TIm8Ww2K2qGeOOg0Yme\n5uWPZxnaJOkvuRScoPJ16ZNgmR+gS948nU6vr6/H4/F0On337l2WRkv3tldKSecT6JVvgr9D\nqVRpznRbV6VUt9ttt9v0CaCSnvVjPp93Op2PP/640WjcvHkzEomQPoWU/VsfV7e3lp2HELSr\nzZeertqXNoeWnoOj9Mrk6NpC1leWbaXrUQn/WVP5K/HwMP9B2oY85jAujoXDr3/9a8ZX8zVN\np9OJRIKyQKU5mgdvOp2en5/3+31aArmum0wmSQPi92C6a6VSoZZEOpyJiY03abfbnU4nm81e\nu3bts5/97FNPPYUfi3I1eNBxHNYAMYfBlTyxSB+8P8EUIRh5RYodsAGIOYENteM47KaVfrBR\nM4nvEB+UHiUjDUZEEN/b2wuFQs1mUwyCMEUqlWq32wcHB51OB0sJQS6HffnyZdY55Fr8auwD\n5nokmAjHLHuit4bDYQb1wp6edln4E31ybf0xtZwIAe9zzz0XCAQuX768vLx8eHgo7QmVUhwt\nt4BfIiKJxU2KDJVSU91Z1LKsRCIxGAwotmS54gLKtEnRHDxdUCMl7BSmU+BDyz1XjxbkHIXK\nxUVDjVIoFLp16xaLMVs62fxlMhlL54cJnGVYpVy3tbU1bihfAw6e7Mjq6qrxQZsIehFBtp2w\nyLKsZDJJwEvISWTXaDRyudzS0tLGxsbR0dHGxkYsFqtUKvT92dvb418xbNRqNfoNkUvkyWdf\nf3Z29uDBg1gs9vzzz2cymWAwuLy8/NRTTzUajfPz89dff/2NN96AHea6PxkEKrUMLBg8n9Qo\nM92Ong+enlFCSEjkRfnDVA/WIzAnAA/q8VEwiDgClXZ0SIqSYhaUylQqxZJweHh45coVx3G2\ntrb29/cPDw+Zs2Xpuu1Wq7W/v3/jxg1ZhMRujK4Ca8vm3dLlfGJoYY1stVoii8916ztun4gb\n3u/nAFlBHceJx+McGHm509NTuiQTsMumJJFI4Gnxu1w2NjYuX7788ccfizuFfUwikUBAYJEu\nFou0clZajbFtu91uBwIBekbzEcTdInmTHiT4ZQW1dTEOqxdJWi6CDCX46KOPoFdP94Zltgte\n/kajYWk/pVIKXYUW5KVSaTabUQTLObZaLdwg1u87Wx5bGIJeOPAk9Ho9QtFut5vL5Uia8dVH\n+5vNZu12m6YTTHRmlAYxWqvVCuiByuwZj4+PecyCwWA+n59Op6PRaHd3F3/e9vZ2KpXikVNK\nZTIZHvJr166FQqEPPviAbCGbVhEuiX/Z8tOK3vM8/K34oOEOtszSnoIts9IBKcE1CTo4Ed7x\nfK0sHd36HU0ZcZPzpQ0p6Sx2EkdHRwgIKysr8Xg8m83i9+LKjMfj/f39lZUVlopsNotANJ1O\nz87O4B0ZS6h0zMv/UoWI98Cft2S18Ae2rq4wVLqeBSGiUCjkcrlOp8Na22q1qHvc2trCuqN8\nEwgZBB7S0wjJnXa73W9961v/+Z//+eMf/xgdgEshPrZMJlMqlarVKv4KT9e8wMgUTLI5Y7vj\nvyMijvNlY0kWFV4pxTu4usvH5ubmX//1X3/nO9+Jx+MsGKIFhcPhlZWVVquF54TDYx8m88WZ\nnUhDu2w222w28dJMJhPMS5/uk7eIMN3sFg5s7tbX18m6dDqdTqdTr9fr9Xq73a5Wq2dnZ8Qp\n7Xb76OjoZz/7GZFavV7vdDq1Wm1jYyMSiXz3u9/99re//eabbzYajXg8zj4dQbnZbLZarVqt\ndnx8fHR0NJ/PU6kU0SuiMGVdiUQiHo9/8YtflCylpLPQEJGJ0S6UUpAgRiukc+n7Q7EDE15E\nOeVhZkMtMq6tZyOxK+d4hODwGxDrwTWFQiEQCDx48CAejzO9qVwun52d0YxC3ofglHCegubT\n01PWqkQiwb6eA2CpcPWYKFFmPW3q4DVK52zFaCEahfIZ6dgcwIbUpkuND/+9du1asVg8OTkh\nCqYRFSEk10fU/GAwWCgUWq3Wt7/97Xa7LeoBq2Mmk7l27VokErl58yZze1944QWaqFi6F1I8\nHqfsG/LFoSFykxS+h0IhGXkjEAke8uVrcOPGjaeffpqVQ4ybXAfbtgky5OCVUiE9lRjep6ZU\nUhErKysbGxv0sOafPu1nb/FgIuiFA/kcREBoi4bOSilp5cw33rbt4+PjQCBQrVb7/f7S0lIu\nl1tfX7948eLx8fHrr7/+zjvv/PCHPywWi88999xrr72G1RRrmlipeIRkV650BOdp+zDPHmGa\no/v0S5oRglDaD8uQDk8XyFDeBhmJ/jifz2maCilYuuu0bKWFqbkgYjq2dYEfIWEkEonH4xw8\nDgfsHPF4vNfrVSoVx3GuXLmyu7sr+iny6Gg0ajaba2trmB84F+ZghcPhw8NDf6qQv4WkoFqi\nWmhd6epKpStKgGjWSql8Pr+1tXX79m1p7BkKhTqdztLSEsH4/v4+y1gul1NKoR15evqM2KIR\nmqPR6O3bt1lrUZbYRTWbzXa7HQwG6/U63yLmrBOAs8hJnpYTZGfDZSHIdXSTEMjan+f0tB+c\nO8Ja/uabb96+fTuVSk31WBlSxLlcrlQqMfCQLQ46GJo494v3J3/ARZPRxrTTMwStDEEvIEjv\n9Pt9yrXH4/HZ2Zk0tsexhE0NFhuPx6enp1euXCkWi3h7yYxduHBBKVWpVI6Pj99+++0f//jH\n3/zmN7/61a9alnV0dITniWgxn8+LZCFUCOEiKCPOJpNJ5o8EdItLSd/ThMF13VQqRQdL0akt\ny0qn09A62i5hLMYPotS57tmG1ADxBXWfZRnEBUegqCQSibW1NWJtHuZut8sSMp1On3nmmQ8/\n/PDq1avBYDCbzeK2ZkAJV+z8/Py5554jREUUxq5LQRAUzMfZvo5IpLCUUigJYiIWGUdpahaJ\nhp7LOzs7UoxzcnJCuwlc6v/93/9NlytkeqWldn88DvCrcKk9z0NjUVoBR61+8sknYflKpcJA\nhkqlIveI1ldi7hbpiY2OBNSRSIQIXeRvV7eCIizgwHBccBGCetiVrdtvxePxXC6HHQhLqFIK\n5wb7rWAwyOHxT5buv9hqtUajEfMoPo3nbbFhCHrhwHYyHA5ns1ksFrFYDIJ2NST2IT7q9/vN\nZtOyrFqt9tvf/tZxnGazub6+rpSaTCbFYnF3d/f4+Pg73/nOzs7O1772NQLn+XzOYI5yuYxR\nGj+c5au/wLSg9EA8mGuuG2JIRObPIDH9k10zTD0cDmGHcDiM5w+qkoainvZ4ObolBXsFjl+c\nBnAx7gvP89rtNgdALMnbNhqN1dXV3d3dXq939erVXC5XLpdp9iRvPp/P2+32/fv3S6US75ZI\nJFZWVihbh8TF6KJ8S9FcjxNUSomZV/qH+POBSrc32tzcfPjwYa1Wo3NIJpOhe2qpVNra2vrk\nk0+Oj4+pGeGKKT0+FfEE4pPYPJFI0OeagJfkLR4PmtP2er2DgwPLspaXl0V3Il7mDVnS4HdH\nV28jesCz6XT62Wef/cUvfiHCtL9A1NMdNgjtJe5GX2YlgIIJjalJ4Qss6Q0Ko1KpVKfTYeah\nUoqBjWyqZJP06TxxiwxD0AsHgs1AINDr9V5++eVqtXrv3j3+CYHP8bWglP7I5XL5/fffHw6H\n5K94CFOp1Be+8IW33nqrWCxWq9XBYPCrX/1qNBq9+OKLJNDpK/Thhx8yMU/67kuCy7btYrFo\nWRbpOKbhoQZA2VJn7HleWE/UhuD8FACb2LZN1x76nVKvjAVwrouhbd26kwgaIrB12Z6jhwlQ\nBrm+vk7bYuZS032t3W73er2nn3768PAwnU7jqFNKUUbh6dlXtVotFothUuRyYQpcXV1lNqOl\ny+SEdkneMhWQv6KRG3OvLV32zYkopdLpNFZIxHQyYNi6l5eXXdfF1obaMB6Pid8LhYK4gBGI\n2IggzsxmM6xvAd2glaYZKysrnuchLJTLZYbqymVk9WKp4z05SPgUlUPi3EePHsHO3FwUCfKN\nvBsVgLzG1v3qhLuRmPkCy7rFC2B2dmZ0IJBWqOTDWZlMiYrAEPTCYTQalctlUnaPHj167rnn\ner0ezZIgI+RgS/vGqNGazWZ3797lnx4+fOi67uHh4draWq1WU0qJFNDpdN59993xePzUU09R\naoEWcXJycnZ2xiwo2asqpWaz2d7eHn2Xstns0tKS53lHR0eYBJTuAUTwRbYKoiRYm8/n/EYp\nRXyNAEKrT6UtZRgnqPuA9DlgpWeXSNs26AmVo9FosCmOxWL0jA8EAsjQhUJhNpu1Wq1isSgd\nU21f0Qdbk42NDaUUa0O73Wb9mE6nKysr0CgGg5lvshSHRCdVontppe/5xsEopbhHH330ERsR\nAu3BYEDzINJ9JycnMCMbCKjq7OwMmUIpJV1eZd2Snk0z3VsulUpdvXr18PDwxRdflPUAPTqf\nz+NuDugB21IBRN5VOnXIFs227Xq9LuG852uLKl9RBGipcOGo0GeQg8bjMaPFpGsdG52LFy/u\n7e3xh/l8XmwzSncNhO5d3YXqj/+0LToMQS8i8BTbtn3nzp1er8dcaqVUNBrtdrtwt99CoJQi\nsG21WpVKZXNzc3Nz07Zt+lRQM728vNzpdKhJwdF1/fp1ihL7/f7dHbzxogAAIABJREFUu3cx\n8/EgSTprOp2+//77Fy9e/Na3vrWyspJKpTCH3blz5/j4+JNPPrl//z4RE4Y5aelAUYnIBZb2\nFFvafutpjzDKiaO7WLDkiNzh+bote7ooDh2m3+93u10GGjz99NPlcrnZbG5tbe3u7lLljBOG\nXXMymaSPqwT17Kmz2Sy/QaX196rH5cYBy85AzLwwmnhL/CzGWedyOToIZjIZKfPjOhSLxWQy\nybzEua/zNXef+YoYObBhkFvj3Kd6iJ/sNujonc1m2RMgcC8tLTEhRZyRHLxfWZZNElcbIzZh\n8lQPLoDB4U0xjNM3cW9vT3qCK6UCeiADf57NZnFwkgPA9l6r1RhJzEpv6b59fBbD3lh4gnp+\nzWMOQ9ALB3GtomDs7+/H43Ea8JMl73Q6GJ8lV8MWFQfFaDRiz5tKpWaz2dNPP+153u7uLi3S\neWdKFbLZ7PLyMlmj2Wx2cHBA+3+MrlAAzfMqlUo2m3306NHKygr9J5944onNzc2bN28+fPjw\n448/JgkmzjkeaaX5S0RtnjoeP148183zCJwDuhJdroa4Doiw0BnYpKfT6UePHk2n00Kh8POf\n/xwdIxAIUNezsrJyeHgYi8VWV1fL5TIZNs4UxWAymQwGg9XVVWYy8eZTPZFWCNfyQfwMEuXJ\nLRPS5AfZPVja2sjawFksLy83Go333nvv6OhI6cpDOWsJw11dvyd7HQmfuZiS82y326lUCnqF\nuDc3N6vV6mQyoafdfD7PZDIUj0jOQOndg6dHE0j+0E/oSi+Tjm6WTcd9zoX9ARumVCqFG9px\nnKOjo4BuTs0XErsR9hvysXxVPO0lR4ShlzcLxqf1zC0uDEEvHNj0EVKJgAj7ECvJdhLNVMRT\nHl2KCSHKw8PDV1999erVq6h7pVJpPp+jF7darb29PXicUuxut3t8fLy0tJTNZkXFRrs4Pz//\n6U9/ytt+5jOf+fM///OzszP47sqVK0888cTnPve527dvn56eEqFTpaKUsm07FosR93HkRJG2\nr4Jjruu8lVLwAhZdfuM3sUk8TkqwWCzy+tXV1bt378IR+CvoD8Xp7O7uep43HA4jkQi1jqwZ\n0+m02WzC5uxR5MCUUjJKyvHNTxFxea6nnUo1kPKZxPkl15kFw9OlQ71e79q1a2zqcYB4uura\n9Q17lfeE4hFqxfAnSUtoPRwOl8vl5eVlydSx3Eaj0YsXL7777rtwHwQqtC7mSP6EMnHWAG66\nZVmxWCyXyyHm2Lp+3dMDapPJJLcMiYazZmVCtmLrgAeJRKJSiqxmKBRqt9v5fF5WJu7deDym\nUao/qfs4wxD0wsHV/S3pp8xzyJBj3B08qGIW5rGUTspKKc/zyD4lk8l2u10qla5du3ZwcEAO\nTTrWU6Jy8eLFYrFIsLazs6OUCgQCpVIJTZlxtBAKET0zPXFeQ5qxWIxCRFKOb7311s7ODk2r\nhe/Y/0rqSekO9Bwk0TdC7Uy3tZQNuPIJHUo72HjNxsbG7u7uW2+99cQTT8Tj8ffee4/0Y6VS\nWV5ertVqjx496vf7KysrR0dH1D37w3PEWZYQwt6lpaVer9fpdBDiXdcltSi06PqGoXAj+NnT\nHjtRaZg7QwUQ7efJBzJ55OTkhIwcf+joUdlcK2JesfSJBsLV5kiUr0bRtm0qgMhSrqysrK6u\n7u/v7+/vb29vHx8fE8Kzokh5oa27Gs31/FbokrswGo1ee+217e3t7373u/yvv4LU87xut4t3\nmxTlrVu3lpaWfvaznyENYXb87W9/GwgEyAokEomjo6NkMomUgc4ut7Xb7a6vrycSCXw49+/f\n937fZfh4wjRLWji89dZbDx48cHUne3waZFrou4YA6ujqZwJA+jrO53MKDuliQ2nA6upqsVh0\nHOfhw4etVsvVLecJVC3Lymaz0GW32z04ODg9PaWD8NHR0Z07dx4+fKiUYltKBQELQ7fbRcbF\nj0ER4/r6+s2bN5eXlyuVipTbSM5H/kvIv7S0ZFnW3/7t356cnLRaLZ5/Ak/bV5Mi6gGrC85C\ntI5isXjnzh2o8OTkhBoZqJZuyNjg9vf3W62W0jUvcChXm4mO0+lUGhKxE5d6GV7s6h5P/uSV\nqByWLr6wtX+ZETDxeHxpaenatWt7e3vsKigjsm27VqvhlhNtXfnKWzxdGW/pfvwiRFi6Z7Sr\nhxaKRSSbzaLPsDnwPG8wGKRSqX6/j+pN12wImswBd5Oj5XtFnQgpkAsXLrz66qvvvPNOvV4P\n6FZTsmQiFuN2/8IXvnDlypWDg4Pd3V1KQ7FtsJHq9Xpf+cpXVlZW7ty543nehQsXGDkm6WhA\nPMF9v3///rPPPnvr1q1P/wFcKBiCXji8+eabELSQglKKpxTpWSlFopwiumg0WiqVMB5kMhlq\nt5RSzA2Bj65cueJ53p07dxBweXOCL3bQxFaw3nA4PD8/Pz4+fvjw4enpKYwZi8XIp9FkmRCp\n1+udn58nk0mKesW7tr29vbS0RKMJidTQUgjWCJP//u//XilF46FKpeLpUd/K55eQnwManq+F\nNAtSo9HY2tq6ceNGpVJ57rnnmGvF5To7O0NiFl0I04KtG9FFo9EbN25Q5QGbUJUnsoPrGyTo\np2P1+4NRlK+oUilFSoBZIQ8fPkyn0xQfQpSnp6dnZ2d0GWQN8PM+6xNlSko7K/g90xJEtMWG\noZQKh8P4oD3Py+VyTF2BtVutlm3bS0tLokiI0ExGjtmJEDS5QfFxnp6e3r17l52WiMWyXrJM\n8s3c2dn53e9+d35+jrbD+6NacLvPzs7K5TKk/Kd/+qfUUnEKbOxc1+UrHY/HSdW+8MILL7/8\n8h/5aVt0GIlj4WD5phwpX3ddpQcvJZNJIikS+pPJhPDz2rVrS0tLJycnR0dHJMqHw+H9+/fR\nlwuFwvb2NiqEkI5SCumZyJTAB5WWVk2k8niqLcvCxMbM7NXV1WAw2Ov12u12NpvFOcezev36\n9atXryYSiXv37r311luNRsO27cFgwBQupZTjOC+++CIjbvf29pARXN1Szr/rl7PmZyJcYZlQ\nKJTL5c7Pzw8PD+v1+ubmJrbC8XhMnTHbi83NTa4MlhVZM1zXbTabuOWYSMspiAIg0whtX9GK\nMJT6/RmvcqgyST2XyzFGCwGagWSO4/R6PWoyLd/ELKWJHs6Fufx3X+lOpCK2eJ6HLdLR88DY\nG6XTafY6a2trg8GgXq8zJJvMnpyLxPuO7kBLFetcl7aPRqN79+7Rykq8Lv4VizWeY8OREtDT\nFLkyuVyuUqnwGypWQqHQT37yE5rDxGKxpaUl2aLNZrNUKpXL5e7cuYPT/I/9rC0+DEEvHKgp\nkGIEISOlFLtmRzfEkAY0PCrFYvHq1avPPvvsG2+80Wq1MEghgB4cHGxvb29vb3/88cdExEqT\nC82DaPXJvh5dxdMFZmy3aVQWjUbJJkHllKQfHR2JSBKJRB49ekSjos3NzUKhkEql3nnnHewW\nuEccx1lbW8NloZTK5/NYr7rdbj6fZ53wh5Oys2ZXzgVhqFWxWKTnUb1ed113c3Pz5OSEusrl\n5WUGc4zH493d3Ww2y/gYT88x4Qp0u91yuUwej3Mn+B0MBhRAYi8RXUVpLhbFxi+AEFyLVNLv\n95l04zgOM22Z6ist+UX5Vb8fj7MAI1YQR9u+ekIJt+HQTCbDAsYBE3ozQGd3d7fT6RSLRTSc\nTCaDQIwqovRcdkgZ7yNC01y3r5LIQOmVQ2lm9+/wPD0tl2vFHWScmKQ9yH5jXSeTwfG7ejpP\nv9/f3t7mi4Rx84/7pP1fgJE4Fg4///nPd3Z2JGkuvdyoGet2uwRHtu4Zn0gk6JlJfdpkMvnF\nL36B4MATzp/Ag5PJpNlsOrqdvJgBaASBw1oePCkJC+iek5avdw97UgJtMkvpdDoQCNB7OpvN\nwqSFQuHGjRurq6vY2uhCxwir/f199vh01kczkcZ7QOkx3sKAoVAoGAymUqnLly/HYrEHDx4o\npbrdLn1IlpeXT09PL1++fHR05LrucDhcXV2l8lgpJc06XD2/Ck4plUpcZLohO46DK87Sk/ck\nHyhGDqFIv61CabMHlwLRKRQKoYBfuXIln8/X6/VPPvnk/PwcFoPXbF2HYlkWeoht2zC70mNk\n5fQlgHX0qC1Le934JYNj2EBMJhOyzbRIdHVFDLrKfD7HdSMbBZl3tbGxsbq6ivTkX9KUbyIB\n3zqumKutmfJPgUDg+vXr8/mcDlYzPZMwlUptbW1hs+PUOIVYLLayskIrqNXV1ZdffvnatWuf\n/gO4UDAR9MKBtjXZbFZ2skTTSimJTdgwSl6eh3A2m1UqFcahEvAGg8FEItHtdhuNRqvVWl5e\n3t3dFf3Ub2MaDAbn5+fxeFwsU7wAbzL+WSTC+XxO/4SZnlNl6x5DmUwGjRv+pcSG49ze3t7c\n3Ox2uz/96U9Je/7Zn/3Zm2++yeupCcZl0ev1SqWS0hKHp5vqKe1nEDXg4OAAU+2NGzeOjo48\nz/u7v/u7n/zkJ2tra5lMZm1trV6v07cP9xi5VpRWy+c1brVapVIJxRzGtG2bCpGJbxrkH3CT\nvAOrl6f7mnLYjL+p1WoU33uet7y8TFduHDgEs1xDybzxEVhlmFDjN4ZLrCorFsFpKpWiSqXb\n7V6+fPnmzZtvvPGG4zhsGmzdIAUfNAsqPkUpzmTdws3CwXc6ncPDQ/ydELflmxJr6QITEcf9\nuwpH1xzZtn14eOh53pe+9KW7d+/2er2/+Zu/+fWvf83iISs6zV4ODg6y2ezh4WG/36df7unp\n6afywC00TK3OwoFYRlQ8fhaylvCH9M5gMEDNbDQaBwcHDx48oAAaRiDWns1m5XL5d7/7Xblc\n9nOc8oWBZP9mukGa53kSSUn8yFsR54qrj4COvfxoNAoGg8lkkjrmXq/X7/fb7TaReCwWu3r1\n6pNPPjmbzbLZ7IcffogK+dnPfnZrayuke/m3Wi22w5Kg87S5zdIt5+lVrZTK5XLRaPTw8JB1\n5Yc//OE3v/lNsnBf+tKXstkszl9OYTAYtNttpRNlwia9Xq9eryMsoJMuLy8j10h4KPJF4H8M\nh3V1rzv+iRtE80/LsrLZbKlUSqfTvL7b7e7t7TGsVhzZnnYWc5elJAcVy9aFf3LL+KCQnmzC\nN4HVmgZGwWDw+vXr0WiUViTEv1xhCs1ZNdFt5vM5faxs24bQmYlFKlhGRPJfyVjyWaLneNoV\nzi9lZ9bv97PZ7L17946Ojrrd7r/927/dv39/NBrRY08pRVRRqVQ2NjZu3rzZarUikcjTTz9N\nscyn+dwtJkwEvXCQmhS++uFwWCYc23rIN99+gikmUJDfp1sjPtN2uz0ajahyXltbC4VCx8fH\nFy9ePDw8hEmVrz2eZVnD4fDs7Gx7e5sImt3ubDaj448wBfGUNANRegY5qTZ8dd1udzqdbm1t\nubpDJpHgcDh8++23S6XSU089lclkKP9rNBqJRGKmx117noeHmqAMIRLaglPYmJO2wq2hlNra\n2vqHf/iHX/7ylxsbGxTR7ezs4N/o9/ubm5ucoNJjwmEcSJ9uyLlcztXNgyqVCnExk0ogpoCv\nnnuup/MpX2DL8jkYDLLZLM6ETqfDlBDP82jGz4QERw9jVbqZn63HIHCXWSqSySS34H+ys9Jx\nNz1Cxb/86NEjmnJEIhEUJLILngb3i7hYuJXqIdd12bpBylwlV5eAKu3uUD65HLlJqt5RzAN6\nbqTneRhAm83mlStXmDth6/Fmrm48K9MRMd3ncrnd3d3l5WXRVR5nGIJeOIRCIR4ScbOJFiGy\nrHAEDwOhNJ06zs/P+T19eSCyTqdTLpc3NjZ6vR4VHErPN1KaYubzea1WKxaLy8vLYjCAvAi1\nbF27IQRh6UEnKI/0lgwEAvV6PRQK0ZmaNtBMirp9+zbZS9u2z8/PGSTY7/e/8pWvzGazN954\nA/MyAwoCujMcAqskteZ6NjYkHovFmFSdTqdXVlZKpVI2m33//fdfeOGFXq93fHw8m81OT09F\nJFFKkbnipLiSJycnhUKBKDgWi+EqyWQy0tSJI5nqOdOiwku0q5SCqlhCkGtQSMbj8draWjwe\nr9fr5PFYxkQPkcVSiA9tSobV+hVqBAQWPFFv5W5Cvp988olYMmhGiOMNjpZvjlQS4T5G/WCN\n93R/K74GfJCsmn6/Da3p4vF4rVbztCFSsouIS5Zl0TNLgmul1Pr6OnY6IuVsNstXF7M/5r8/\n2kP2fwaGoBcOELTneXQ84LHBoou3VAJSpUNLyelhdUAFFma3LOv8/FwpdXx8HIvFLly4QOsM\nnm3Jv5FSOz09zefzPIo8SMyvE51h4ps5DUfA3fQjxVhG1MzxUB7Gdp56cdu2y+VyLpfDpxyL\nxU5OTj766COKCTGH0LJdKeU4DvtxV48AZ+M/0/2LPc8rlUqXLl3a2dl59OhRpVJ58OBBOByu\n1+uoEzLdjmia881ms7ST5ppXKpVr166JmsGbQ9ZsUPycaPumz4j2Qp0IM7cI8FFXRJgmkYCL\nXAQTLh0RLnkFpQmOy2vpEhg+RbY7lu77obQh2vZ1ZM1msxgz2H4xBhAVSOltE4Y/1gAOAw4l\nyOWy+BVnWZMCvo7hspPgvojNTq7kcDjk957nYZVhdKRSqlarIYjRuPz09LTb7S4tLTGqptFo\niIHvcYYh6IUDzxIcpJSixRpUy4aXaFSiIX/kRZgpoy6YfkSyCIbt9Xr379+nK8JcT6vztEMD\nBmm32+zK57qfTq/XC4fDkjdzfY1GhbvJVTI3mt/go1pdXaXrApYvprfcu3fP0+2DCd/QB8R2\nNhwOUXVIN/GcYzeUPqWcbKPR2N7eXl9fx1Q3mUwODg5qtdrOzg7WjkKhICO+pBIPp6CQ7Hg8\nZguCkYOr2mw2mVhIB3qiWn8Np/CUbdvFYpE+QdwdVHg0FrTsmR5fLQPGREDA2Ed1pdIEzVoo\nS4gE0ULE0n3b8vWhZiFhgaeyHMcLzU7lC0NhKlID4hirICqQ+PCkgsbWNauur6JyrpuoSLKa\nbh5yZWSvw5wBgmWOuVAoJJNJak3JMFOPTtoA47yJoJUh6MUEYQg6L0ZRyBoKY99NukwcaUop\ncTsRddKcwbKsSqXCgKvpdFqv1y9evLi2tjYcDhFD+URLYzKZdDodzKrhcJhwBoZy9NA5GI1n\nUjazYukL6ZGjSinXdWu1Grv+Bw8e0JWp3++XSiXXdRFhJpNJPB5fW1tTSlFgZukaHOUbi2fr\njpeoE7xVo9EIBALUSYLz8/NarYZVw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Y2IBqUCehQkVifJ2gDlt+Qy6+kL9znbkI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\nnaGxnuchy+WGkR3awsJCMpnEZJlGEgJzYsYwDFE+qCg0m82Y1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LMdj8eIyrvdrmoD5rDm2rNFDjXc7+3t/eVf/uVrr72mztLHec0B+tit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k9hHHcRa2Wi08cMfHx/gH5CBkO4zlC1qXXUSU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\nQmCC", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "imageplot(x0)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Variance of the noise." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "sigma <- 0.08" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We add some noise to it to obtain the noisy signal $y = x_0 + w$.\n", "Here $w$ is a realization of a Gaussian white noise of variance\n", "$\\si^2$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "y <- x0 + sigma*as.cimg(rnorm(N))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the noisy image." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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OKfnp7euXMHhelf//rXH330USgUksvlKHan02mj0RgMBsVisVarhWyDoqjDw8M7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+F1988ZOf/CSdTlcqlV/84hcejyeVSpHJ\nZJDjYVVuNps8Hg9jLsBLE4nE5uYmctgoeN3Y2Oj3+6VS6fj4GCK40Wh0u92w9yFZhytCv9+X\nSqX4ZuHbAx27UCjQ6fRGo3Hz5k2tVgtAkslkOjk5qdfrx8fHEDSSySRBEHAHczicarUKQQa1\nfsD8x2IxlIphe764uGAymdDiCYIAMI9GowFXolQqWSzW+fn5jRs31Gp1qVSqVqs6na5Sqays\nrIC7xGazEeBks9lwJUNKhuucIAgUhEul0r29PbA4AHqFYz0ajer1eugwKL0dDAZWqzWXy1Eo\nlEajARwd3ETRaBQjkM8++ww3JAwPgCS9ceMGjUY7PDzET1Ymk52dnclkstu3bxeLxbm5uYWF\nhXf5Kl6B53qBvnLP8fHxL3/5Sw6HA0QRk8mcnZ3F2ygQCPALLZFIJBKJ1WpFZQZMEel0GpXe\nn3/+OdYRGo0GVxNIvhhqATt38+ZN1JsCCY91vNlsogYFtPt0Om0wGKLRaD6fV6vV2WwWhx2F\nQoEQB4BHWNQ4HM7ExEQoFPrpT3+KVxrVKli8nE5nLBZrt9v/93//Z7VaDQbD2tra559/7nQ6\nwauj0+nQeSEC0Ol0jEPn5+fL5TIKWA0Gw9LSEghtW1tbFovlxo0bh4eHICn/+Z//+cbGhkql\nCofDGxsbW1tbaKqGlU0oFDabTTCPQHzWarW1Wg2VKzj5gpcE7LXP5yOTyRqNBud33OvPz8/R\nXQK1Bw4NbG+9Xm9hYYFGo+3v7xMEYbPZeDyeSCRCf65KpSoUCmtrawcHB8fHx/hBI9tNp9NR\nvwtYCkEQMMYh7IOGwE6nMzc3h78aZaxgUXG5XKvVikYC2FpEIlEul4O84Ha7JycnJycn2Ww2\nAqUAQAOZPRwOy+VysVg8PT1VqVT40zBDhnMcUDqgSPh8PoaiAAAArt3pdOCwbDabcOygMD4U\nCmHMmEqlZmZmFAoFuFd37959/PixSCTyeDwmkwk9hNgtsM2EQiGPxwO+NnxK140q1wv0lXtw\n30edts/ngxBxenqKiy0IOGQyOZfLHR8fYzhOIpFOT0+lUumLFy9wGw0Gg0hIi0Qig8FQrVbd\nbjfqARHJw4AeyI5msykSiUwmUzwe53K5i4uLLpcLyvVwOESj6Gg0gmegUChghgO3xunp6b17\n9+r1OjDNsNkR/9+HC177zZs34TE4PDz83e9+B9GATCYrFIqdnR2z2czhcEajUSqVSiaTkFBC\noZDZbEbWEVoBojdkMhmDSoFAUK/XMfo/PT29deuWRCKBX9vr9f7nf/7n+++/jxkaYBfg2TOZ\nTKxQ6JbFNwgnos1mAxsEi9FwODQajdB8ARQEZVQgELBYLIfDAbcfiUSCVZHNZoMAhWwnVI6D\ng4N6vW63209PTw0GA/KcOCkjHCSTyUqlklgsJggC1eMEQXS73UajIZfLLRbLkydPFAoFDNdu\nt1sulyNbZDQaC4WCSCTCLwZyLnw+P5fLZbPZbrd7+Y0wmcxAIICaGL1ejxUcUsblkTmbzQIi\n2uv1MPMsl8tWqxXOznQ6jV5wkEzgx0d3+8LCQrVaLRaLFovFbrdXKpVsNgtS4OrqKvioWOul\nUik2DHTdQqGSyWTn5+eoMAfbxGazoZ8e5UHz8/Pv7kW8Es/1An3lnlevXqXT6aWlJYIgYITA\n3B9gRo/Hs76+DjCbUqkEyxgk9WaziTCuRCKJRCKj0UgoFPr9/ouLCzg64APTarUnJycikQgd\n2OPxuNvt4qDHZDILhcL8/Hw6nVYoFOifDYfDIEdjJgnc2sXFxXg8NhqNgUAAHmpEyTFvxNdT\nr9cDgQCsvsjL/OY3v8F1GIR+t9tdLpfv3r27v78/Go1evnwJBaZSqeh0ulgsBpAeGKQoZ0Lm\nBXYUXKhBHYLQGQgEtre34TgGUf7w8JDFYkkkEhDm4H5BegVCMEEQiPNFo1EKhdJsNhcXF6PR\nKJlMZrPZ2GbOz89pNFoqlZqYmDg+Pm63291ut1AowN8Nz5lYLDaZTGiKEolEfr+/VCpBqpZI\nJGDXPX/+HE1jBEHIZLJisQgKNj40RD0JgnA4HIPBQCKRwKWHXUqj0SBig3wHBAc0b+F/xPgX\nse979+7R6XS5XI6231qtZrVaFxYWAoFAr9crlUo471/2FSACDncKQiipVAq1O1g6cQkANhrr\nL6Le8XgccFF0uFCpVPSK0Wg0cEX29vbW19fJZDLMmqiHn5qa6na7Pp9vdnYWhYSgh1cqFaR7\nkJvVaDTXJ+jrBfrKPS6XKxgMEgRxfHyM1no+n69WqyUSSTAYlEqloBbw+fzd3V30MQMlEQgE\ncNQSi8UY/QeDQQggGCqORiOs5tAuTk5OdDod/k2v1wMens1mg/Wj1+vR1gwuj0gkolKpCoUC\nOwGDwcDFWS6XIx4NDxzIasAoI90L/JDZbD49Pf3Vr35lt9thsN3Z2RGLxcPhcH19nUKhvHz5\nslAo6HQ6KN2j0WhpaQlrBHq4GQwGuMMIfMtkshcvXmg0mr29PZFIdOvWrXa7jaE/VnaDwfD9\n998bDAZwPFD8oVQqBQIBNAEw7fh8frfbrdVqjx49ev36tc1mg31lPB4DigR5JJFI6HQ6dMes\nrq52u91sNguo/2g0otFoiHrCDwcwG+a3mHOCi43KPii/qBiHMwQFIhgzEgSh1Wpx3m80Gpjm\nQSAmCOLSh4M9z2AwpNNpFKIHg0Eul4u+gsFgoNFo9vf3DQYDtnCBQABiBn7WNBotl8uRyWQ+\nn//ixQuUvvP5/JcvX2IybDQa8V+iSRJqMvwztVoNQXA6nY4OrcFggFHnpU1TrVafnJwUi8Xl\n5WU0f9+4ccNqtUYikWw2iy8GP1bgFfGFofIGIXtcua416OsF+so9BwcHkUgkHo87HA6cUo+O\njorFYqFQKBaLmUwG19hisehwOMAyrtfr2WyWwWAAExEMBgFfBtAdpzAajYZhHZoy3r59SxBE\nLpcDtxdsCpTsra2tqdXqarUKymUkEqlWq1C0O51OIpGQSqVIM2LEj/UamQuxWPzZZ58xmUzY\np4DNRMQOdlp0p8I3RhAEQEUAGctkMty+R6MR4KWlUqndbkOcJZPJaJ5G/gWmAiaTSSKRNjc3\nccQ7Pj6ORqOhUGg0Gh0eHt66devw8JBMJrtcLrVajZK9RqMBgzmGY9jPkM4wmUx2ux2hknK5\nLBKJXrx4odPp2u02rGPlcplMJn/zzTedTgcVqBCFEAJEYcLS0tLCwkIsFgMYGssT9gk0hWPS\niMJG8EgJghgMBuPxeHZ2FiBABoNhtVrtdrvH40Ea8JJ8IpPJ0uk0zr+Hh4cYUWBLxgYpFos/\n/PBDLO5Ib9++fZvD4Tx48EAqlR4fHyNIib8xHo+Xy2V4GRExx7AXnWoCgQCAFByuHQ4HbOa4\nKgHPjworrVZ7WUdZLpeRDCKRSH6/X6VSwdfIYrGmpqYIgggGg/jnzz777OHDh7AbYZ6MFgIq\nlYrmtuugyvUCfeWe169f+/1+NpuNmmcIlzqdDjyNwWBw9+5deJPh7S0UCgaDAQgxtIpQKJTp\n6Wmw+RkMBm6+QHd2u12DwYBgwl/+5V+CVspgMPL5PNxduLoi24b+UJPJNBgMJiYm9vb2+Hy+\nUCiUSCQ+n08ul2s0mqOjI61W63K5oHTn8/mVlZV6vY7XXqFQcDgccOaePXsGAgZ2C1BE8JLr\n9frj4+OXL19eNgCkUikMtXDKA3cJczBASCgUCqgdYrF4bW0NHxfifKBfEgRxdnZGEMRlBofP\n52PtazabWDJgboOePjs72+l00uk0sub4WYjFYrVaDT5nKpWCLZ1KpWJk2mg0gAPc2toCYxPN\nXmKx+OjoSKPRiMViQKWxsQH1h3abTqeD0AdBEDMzM1KplEwm37x5Eyy3er0+OzsrFAqPjo7o\ndHo+nzcajR6PRyAQMJlMu92O3Rowv+PjY5hker0eHIRPnjzBAhcKhSwWC4VCuWyfYrPZgUAA\nM2G73Q7vs9vtdjqdnU4HhZNgXQHXBVmDxWIBY6tSqZ4+fQqsB/pfEKD3er0kEslgMIDHUq/X\nEdIBHxWrP37umUwG9K7t7e0PP/zQ6/U+efLk/Pz8k08+qVari4uLW1tbjUYDwJbNzc138g5e\nned6gb5yTyQS8Xq93W4XKyDa6gQCwXg8npubo1AoyK0hh33//v18Pq9QKFKplFgslkqloVAI\nJR35fB6XaIlEApWQQqGwWCw4YW02G5PJBFXSZDIVi0Xg/zkcDsJs8DzpdLrt7W0+n89ms9Pp\ntEQiAQ0HIizGfQRBcDgcxBFRNorbd6FQKBQKMM9FIpGTkxNccnE6w4RtYmKiWq3iBHdJpETy\nEP9cqVSw1mBlFAqFaO/GrA+IpU6nMzU15XQ6nzx54na7g8FgIpHo9XqDwcBkMlWrVcQl8GGi\nBwAyLkEQJpNpNBolEolwODwzMyMWixGfyWQyarWaRCJFo1EgjEUiEYDIk5OTqCdHvAVDSBz/\npVLp0tISRGrY7Hg8XqfTGY/HCoUC3X1yuRw3D3jmAKvSaDSzs7Pz8/NyuZzL5aJAgEQieTwe\nCoVy8+ZNVEkRBOF0OjHDpNFokNQZDMYlCDQcDq+ursLakU6n1Wp1p9OhUCh2u53L5YIyCt3M\naDTiuI3Ore3tbXgEw+GwxWJxuVwmkwnl3DA+wgYej8fx0RmNRug86XQaY0M+n+92u1dWVsrl\nMkaUACWibBdd5jDd22y2b7755tatW5Dsh8MhOiIIgojFYgBwDwaDxcXFxcXFd/ouvvvneoG+\ncs/e3t5XX301PT3NYDAwLYGICU8YyrbhdeXz+QDZ4KhoMpkw1ELfICSIy0hLKBQiCAJh32Qy\n+emnn/7iF7/4j//4DxTHEQQBewDeOqVSeXZ2dvv27ac/t3EAACAASURBVEajAauc1WrFQazR\naAQCgdPT0x/96EcTExORSAQuOnSzMhiMxcVFjUbz+PFjm80G+hqFQoFmMhgMnjx5UqvVNjY2\nut0ug8GgUCjr6+urq6vAV6KMHKk5kUiEfeWy2wU6A27o9XodaAs6nb62tvbJJ5+cnp6enJyY\nTCafzzcejzFFRK/jycmJVqvFpoIs3MXFhUAgYLPZmUwGIWk40jACbTaba2trgKOSyWTglbvd\n7szMjM/n29jY4HK5z549o1KpbDZ7NBrNzc2dn5+3Wi20h0AjTqfTSOXV6/WNjY16vY4FHTFu\nUJ4Rxrl9+/bt27cB5cAHjoj8P//zPy8tLYHMh69qenqazWYfHh5i1gcoitFoxIG30Whsbm5m\nMhmg+6A4WSwWrVarUCh0Oh1EoXg8TqVSCYKo1+sHBwdqtRo58n6/7/f7W60W9HEmk4kWHq/X\nWywW+/3+xsZGIpFAiv309BQnfcCwGAwGn89HCwQ6GNvt9sbGxtu3b/HDxb5IJpN1Op3f719f\nXwf3AxsVgCfoCGexWIg7OhyOaw36eoG+cs/u7i5BEBj1GAwGl8tFEMTt27dhfgA7gkwmT01N\n4UqL2NjExITf73c6nTs7O7OzszjplEqlwWCAe/3FxUW73cboTy6Xh8Ph0Wj0/PlzrVbLZrNh\nkwDQB0s26NIgluEOi3lOPp+fnJxkMBhQhPP5PEg98/PznU5nbW1td3cXrg+Q5FQqFfKKZDK5\n3++jngpcHpPJ5PV66XQ6eEn7+/vwFeBIhbwJyqLQDt5ut8fjMTxtAN4rFAqVSrW6unrjxg23\n2/3q1SvQk8/Pz2ETxLBrNBrBgtJsNvv9PqyK2GwQwkZ2Ed9poVBAnwuNRgPEp1KpwPRyenqq\n0+kQQkFyErtaNBrN5XI8Hk8ikcTjcbFYDFwn0kBMJrPX65FIpFarhSqvVCpFEES32xUIBH/7\nt3+7uLiIHikITTMzM2iiOjo66vV6VCq13+9jJgH7I4oC8O/h9qNSqRMTExMTE//7v/8LTRzg\nERDx8/k8IqkulwtduuVyGTATpBzhjkd+ZGlpiUajQSkaDocLCwtHR0cTExMmk2l3d9dsNsdi\nsVwuRxAEEpUAw964cSMej5+ensrl8nQ6zeFwMId0OByAENBoNKFQCH251WrF43Gj0ej1eu12\nO9L2q6urPp8PVzqVSoVWoOvKq+sF+so9pVJpd3cX3Z0UCoXH452fnycSiVgshlo5vNjb29uZ\nTEav1/d6PUzzk8nk3t4eg8EAWgxmO9T9jcdjqBM4wdXr9YcPH56dnYH/MBgMKpUKjKuQaAmC\nACEBDdDQf81mM276+KrwF+GMWa1WkQgPhUILCwuFQgFxOLVancvlwuGwwWAIBoN6vX44HOZy\nubW1NZz48MaCmr+1tYWhU6lUgm+PIIjRaCSXy3O5HIfDQVOMUCgslUperxdfiV6vv3Hjhs1m\n+9WvfoUwG5IjfD5fKpVGIpFyuUwQBJvN7vV6i4uLpVKJx+PBv6xUKhFFgdcCn8xgMHA6nZcV\niCifVqlU2NjgXvD5fPgQNBoNNO5cLgdURalUwkkZ6XyCIDDS5HA48Xg8nU53Oh142zudzsbG\nBg6PuBBYLBaDwdBsNuv1utfrxd8OjjYy4lBO0GVVKpXsdjs0JfhJ9vb2kPNuNpto54KbJZVK\nbWxsoDIGMgV6zcvlMhoPoLAPBgO1Wh0MBikUCkBIer3+9PR0enp6c3Nzc3Mzn8+DsQVDC4lE\nwuYHlBKJRFpcXLyEJYETgt+9fr//6NEjHO0Jguj3+6iAUKlU0WgUYjefz9/e3h4Ohz/84Q8j\nkQiNRjOZTCsrK+/0XXz3z/UCfeWeP/zhD1gacrkcIDgOhwPWpeFwmM1mYcCYm5vjcDgwhGm1\nWjRkYxXDyvjixYvZ2VlQOABAQJOhUCgEVYPD4eBI22w2mUxmNpvFy4b8m9VqHY/HqJXz+Xxq\ntbrf76MYCb3a8CCXSiWM/hFvQ0tLo9Gw2+3D4VAqlaZSqfX19YODAwaD4Xa7S6XS5uYmlUqN\nRqM+n0+j0TgcjsePHwNVEQgExuPxeDxGPR2Lxfqbv/mbwWAQCoWgNaPlRKlU8vl8CoWCEPPH\nH39MJpMzmQygPEdHR7BbICWIHQhEfNBIIPv0ej2lUomlFsinTqczOzvL5/NjsdidO3cAYALa\nDatzo9HI5XJmsxmAfBzMwZ6nUCgff/wxlmnsrAKBQCwWazQaAJWWl5fRJACkMtIuc3NzOLrm\n83n0b43HY5PJFIlEnjx5chnfdzgclUqFw+G8fftWIBAwGIzZ2Vmoz6iqMRqNLBarXq/D2Nds\nNu/evfv27VtkUNFqtry8DJVsMBhMTU2Vy2Wv1wtaab1eBw28Wq0WCgUUOYLdjLGtxWK5ffs2\nvEMcDufg4EAmk8GNhw4trVa7urqKqslkMqnX69EuxmAwMAJ1uVx+v99mswFY2uv1Li4uWq2W\nSCTicrkAThEEgSQUNumbN29e0+yuF+gr9xQKhd/+9rdoMCmXy1qtFvHlZrPZaDRMJhO8w+12\nu9FoYIFOJpMajabZbGIohGyb3W4/Pj7GqYf4/3h1iLkzMzNnZ2cIZaDxGgDJ0WiEiDYsHJg7\njUYjvM/QcOGK63a7TCbz4uICWCI6nZ5IJFQqFQJ+FoslGAymUimoFn6/HzWA4J95vV5UygJC\n5PV6V1dXAZ1ot9sgvoNy2ev1/vRP/5REInG5XPguWq2W1WqFeQMmh83NzQcPHqAN+te//jWP\nxwNgBJIuyEeX9YAej4fNZiOfDZoPCsDUajX0osFgANEcuRV4FiE3qdVqrOZsNnswGMB3HIvF\n4HxAZUwymbz8+gOBQCqVQsgIKQ+pVAouEi74cEZiGPjo0SPsl/BK7u7u4liN+/7Z2Rksxh98\n8AEAeFhVkfKo1Wp6vd7lcqEoCzVpHA6Hy+UiJo4gO+w6BEHkcjko2nw+H47m0Wj09u3bqakp\nIKoh37PZbDqdjjlzOp22Wq2Hh4flchlDAhgfzWZzKBRSqVRoFyORSLFYDIsykEkEQajVaoVC\ncXkPgy97Z2cH0UqgSsH1LxQKHA4HYSWpVCoSidbX19/x2/iun+sF+so9X375ZTabReE0fLvo\nOb64uEDRarFY9Pv9ExMTXC6XTCbj/AsNFIJAtVqNxWIox0NQEH8yqjTG4zFK9lZWVux2u91u\nvySI0ul0iKowUSDePTs72+/3kXwzGAwCgQC3e4SP1Wo1KktQd43YQjQa7fV6sKzRaDQQitGj\nCl8Hwg4ej4dEIj148KDZbGo0muPj43K53Ov1sLKQyWQKhfLpp59CMH369CmbzZbJZFDM4/G4\nVCq9d+9et9vd3NxUqVRv3rxpNBo7OzvBYBAekk6nYzKZ0KZIEATMDyQSCbV7g8Egm81C7UU3\ngkajgbaOztxwOIxSEujR1WoVX79AIMDkFqJNOp2G9wMiBpgnZDKZIAgErGk0ms1m8/l8Jycn\nqKzlcrmNRqNYLEJq93q9//Iv/4JcKCRvLGcYYwKZBF+N2+3G8bxSqYzH416vBw4JmC3j8RiO\neEwpsE+vr6+TSCSwDJGhRyMXigFdLhfM9aurq3t7e9hRdDpdIpHAbxcGrfV6/eTkJBqNosqS\nTCZjiY/FYt1uV6PRKJXKUqmk1Wo1Gs2nn34KUxCVSt3Y2BgOh9vb29i0MFDNZrN2u93r9eLX\nEpwQtAx7PJ5ms2m1WlOp1Nra2nXU+3qBvnKP1+tNJpNKpRIABJFIxOfzUSQI9I/FYkGeEL/H\nHA6nXC6r1eput6vVaj0ez+Tk5Hg8RlvSz3/+88PDw/F4jOMM1iYmk2kwGMAdplAouNtWKpV6\nvY7qKawCfD4fEzmUA+AVCofDNBotEAjodDqEhhUKBawL6NRAbsXlcoHCDnkxGo3abLZ2uw1o\nGf5joEUQZiEIYjgcut1ugiBgLsYV3uVywWtVKpWcTifqUyUSiU6nE4lEX3/9tdPpxPTv66+/\n3t3dtVqtyFmgyDEUCk1MTGD+qdfrETBBYG9qakosFoMnB5Dp9PQ0SrKxPsJ7Xi6XsaOgJ2xx\ncRFcDiCr8BkOBgOsy3CzUanUN2/ewNzWaDSgCUAsQrMUmUwWCoWQVpBUBDGVQqHACHh2dtbv\n9xFWhK9GoVBgkwN9W6VS9ft9Ho+HfbFUKoE3PRgMHj58iBKD4XB42cZgsVhALCII4sWLF5D4\nQ6EQxpj1ej0SiajV6mQy2W63WSwWitC63S6uNTdu3AC4Fbu7QqGIxWJmsxntwwqFwuPxGAwG\nGP7evn0LWQnNjS9fvux2uzKZDKH2ly9fqlQq/EJiULy1tYWLCI/Hg+DTbDZZLJbZbL6Oel8v\n0FfuaTabhUKhVCq9efNGr9eDaSkSiXg8ntlsRglTsVis1Wrn5+coviORSIPBoNFoIKOVSqUA\nCKZQKC6XK5/PYwgG9IRQKCQIAlf7s7OzUCgEvijEX8gXoBK3Wi04UgmCIJFIqA/HTbZarQLl\nnEwmp6enwXS+f/9+Op1ms9kg3SDiQaFQdnd3h8NhNBqF1FsqlYAq7XQ65XKZQqGg4i+VSsXj\ncRaLJRQKge4cDAYkEunjjz9GPhsQ/Vartb+/X6lU4vH4wsLC9PQ0Ahcej+fo6EitVu/v72NZ\nLJfLS0tLqVQKIk+1WmUymWjXHQ6HxWKxWCySSCRo7jwez+Px9Pv98/Pzu3fvgo+MJi0YkHU6\nnUKhMJvN29vbLBYLCXuATLVaLWaPHo8nm8263e61tTWM+BYXF7/55huHwxGJRPr9fr1ef/Dg\nQaVSgbMCaUY0syBzlEgkyuUyihA1Gk2xWITDUigUisVi5D6mp6d7vd5lBTCJRKrX69PT05lM\nBvctpF3m5+fr9frS0lKxWMRuBMIcQRBSqbRUKn344YcY1YL6vbe3t7i4aDab37x5QxDE2dkZ\n7NvYvOHaxP1Mo9FUKhWCIJLJJEqNMXsUiURINgJzuLy8jKyjUCh0OBzomZ2cnMTvANon0LyD\nWQKHw0mn0z//+c/L5bLNZiORSBsbG+/sPbwaz/UCfeWevb2927dvf/vttzgygxoB3nkkElle\nXka1KwIFvV4P5SkArWGolU6ncdQtl8v/9m//Fo/Hg8Eg0r3D4RCHNZSnAB4NGg7OR1gXeDwe\nFjVEyEwmUyAQsFgsiNihxAQ5ZhaLdXR0RKPRpqam0GwLqDyu+aFQKJFIbGxsYLkHuwfL4mg0\ncrlcEHwBy2cymbVaDRFEgiCwYcAHsrq6qlari8Vit9s1Go3wJ7RaLS6XWyqVfv7zn8tksp2d\nHfRkA6UP8wYQ+6PRCF6IWq2G/A4ceyggx9wP0gp2wc3NTbgIut0urCAGgwHByOnpaaPRaLfb\nIYzEYjEwN6CYgxyN8nUo4NCC4JcgCILNZp+fn4MKAlPjYDDA/yIQCEgk0ng8npqaisViyG33\n+/2pqSlUkOzs7IAfgv0MnFKoVQqFAjWvKA+0WCz46cjl8mazSSaTrVYrYIcTExOAq6AxPZlM\n9vt9mOthhY7H41BFRCLR6urq06dPp6enUVt+8+ZNHLEx0wPZTqPRUCgUm81msVig6bNYLJid\naTSaw+FIJBISieS3v/0tCKUwqGDygdw/TIoEQdy6dQvtM8FgsF6vLywsXEsc1wv0lXs8Hs+/\n//u/o5R6PB4bDIbp6elXr15BMCUIQigUvn37dnl5GUfj0WhktVpRsRoOh4PB4MLCAsYsFApl\nf39/enp6PB5HIhGgbfDCXHIy5XJ5PB4HUbNer+PsJhKJUNGCzDT4/UqlMh6PY0LF5/OxMJVK\nJXgMAoGAwWAgkUhyuRxSA5BGGo0GHFGLxZLJZBBsA0MHfmcchCEru91uACorlQo8ZF6vd3p6\nGmR9oKgNBsN3332HZVcikWxuboKm/8tf/hILHJy/DAYDhSlarbbRaGD6RxAEqGkSiQRBc8S1\n8b2AG8fn81GAe3p6ajKZkKRHgMXtdm9sbMhkMpPJJBaLg8Hg/v4+NJClpSUYZtrtNqJ3yWQS\nBeHNZjOVSvF4PK1Wm8/nUYRYKpVwKcGOiEANCl7fvn0rlUpxqG+325eJRJVKNRr9P/be67nR\nND3vfhGJROQMEAABgjl2k+zpnu7p6Z6wMzs73pV2FdZb0lZZLls6lqp07D9Ah65yqeySTmQr\n2Ftayavd9fSknu6ZDswJDABIEJnIiQARiO/gV8tyfX+Ah1XiczjTDADxPs/93Pd1/a7LiYkJ\n7NcE4DJ1oDssEolGRkaQ652fn9Poz+VyaDHJCD85OWEQt7e3p1AowuGwwWAgAPP58+f8xRuN\nxvn5+fHxMUNg0mrOzs7o0QuCcHx8TMgOubrn5+fIZhKJBC2aUqm0t7c3NzeXTqd5+WBGRCLR\nvXv3+v2+TCZDpTM4OPjGG2+Qugkb5OTkhHhJiURyU0GLv+1f4Gb9/xdoBZoPe3t7Uqn0F7/4\nhdvtdrvdcrkcr9d3v/tdlUoF2hFjN6KOe/fujY2N0cgzm80ulyubzf7n//yfNzc3JRKJ8Ju0\n0F6vBxYDaYcgCLlcjirG7XZfXFyAxESxZ7fbyQbFCI4zhWEUTHoCPsxmMwmB1WqVwZparR4Y\nGHj27BnTsE8//RS17PDw8NHR0dOnT/P5/N7e3vz8fDweL5fLz58/1+v1sViMpgoQVOZmer0+\nFAodHx83Go1isQiDFC3X8vIyQGSUGPDjuXdzUaD5brfbeXvpV9RqtV6vZzQa+/0+ZaZMJqvX\n6xqNZnV19datWz/60Y8+/vjjpaUl/JNsqa1W65/+6Z82Nzd7vd69e/cGBgZMJhOTW/B+iUQC\nQgWM6UgkEgqFYrEYTW3aAixkMxKJBIgSYCxQ/ZTzdAmw1QCuIqrq5OQEOOrZ2RkCPqvVCpcZ\nZL5Sqex2u4VCARYoETmPHz9+8OBBu91OJpMXFxdkiuP7z+Vy5XKZBAOqeLVaHYlE7HY72BYs\n4DqdDuC12WwOBAKtVusP//APLy8v/X7/5OQkSJNOpzMxMUHkmM/nOzo64kZFfwaO0i9/+Us+\nQnS9+T1PT08ZTqCWQZ15cnLy//K5u57rpoK+duvZs2eJRGJ0dFSlUpEQGAwGkT1BpKQAefny\n5djYmNFoBPAIewiXLbINs9kMSZmKCbXZ+Pg4MgakuFyi2cLm5+dJKuLXsFgs1Hf4VhhaMn9P\npVJjY2OXl5ebm5uBQCAajQ4PD2Naw5SRTqcxVhAKzqgNW0e73W632xisUSl0u10GX2SQs2Oa\nzeZardZqtfCkzczMZDKZZDKJumB9fR2bJXuHWCx+8uTJ4eEhybOdTufi4gIBCYWkTCZjlCcS\niciaubi4uLy8vLofGAwGLHxKpfL+/ftmsxld2traGnG3WD+Wl5djsRhClLm5uf/+3//7V199\nNTExcXBw8N577+XzeTTIZrM5kUjcv38/FosxYr0qz/1+P2kplUql3W4bDAaDwWCz2UAkG41G\n5Ngymczn883Ozh4fH1N4Etpit9sxENbrdVCoHJ9cCwYGBrxeLw4U1HKCIBweHmq12tHR0b/+\n679ut9s+n6/T6ZCHMDw8jIwynU6DLZTL5aOjo+j2riK3QV8xnDg5OSEnYXh4+OXLlxqNBrNS\nqVRyOp3oMm02G78YxyTRlN1uF5YLQQG8DycnJ/1+Hz0STQ8kkvS7XC7X48ePv7Xn8Hqsmw36\n2q1oNMrTOzQ0BIaRh02hUDidTmiTgiC4XK7d3V2z2QxHqdlswhFmBigIwtHRUaPRoJ766KOP\nQqEQbCMkAeCbz8/PdTqdw+EolUrpdJo0E0EQZDIZwxzEXlc6YrvdHg6HTSYTmdz9ft/lcikU\niv39/VAohOBPJpMFg8FWqzU0NNRoNHBSgKYTBGF/f7/RaDgcDpqYCoVicHBwe3t7cXGRGlMq\nlWIix5ZdKBRQaLXb7Z2dnffeey+RSECynpiYQDdisVjW1tZSqRR7PdwlQRAGBgYWFhbS6TTi\ncbZjqVQ6MjIi+s3iHn1wcNDpdLhon56eTkxMsE1otVrc1UajcWhoCAlwNpvd39/v9Xp/8zd/\n4/P5GKnxKiwWC4S5kZERqVRaqVRqtRo/9/Lycnl5OZvN1ut17B7NZvPx48eHh4dut3thYaFe\nr5fLZQ5XhNXb29uBQGBtbc3j8dCVQicOGKRYLK6trVksFnZM+v5erzccDiOH73Q6fDD4O87M\nzIyPj4fD4cvLS6AfcFwPDg4AcLdardHRUfTvpVIJPFOn01Gr1VwyOAD6/b7FYtna2qJHASx0\neHg4k8mMjo6ur6/z0uRy+czMDMxo3mTshfF4fGRkBI8lDkmAUxhtBEEgdQVt4k1o7M0Gfe3W\nJ5988vz581/+8pcg3BqNBvM0FGCRSAR2BEN5lUpFbMrOzo7b7e73+7du3cJYaLVaaRHq9foH\nDx5w48ZZazKZVCoVtQwSYPDBDAZlMtl3vvOdb775hsBDyk96jjhW6LTa7Xa+hCASQB8UzoVC\nQSqVkv6HdMRoNEql0q+//loQhHfffZdCiS0eatLBwUG1WgWoJAiCUqkECkqfGsLR7Owsr4Ic\nVdDGKA7xxXk8Ho4K7gRUbXK5HE0029Ddu3dRfcFuNZlMVxF5RJvfvn17dHS01Wrt7e1h2yEc\nKxqNHh8fq9VqhNWNRgOoHnBkKu5kMmkymZLJpMfjQYo3Pj4+ODjI9f/k5KRWq3FMFotFpVJZ\nq9UWFhaq1SrNDbFYDLCUSAHaQR6Ph40bNzaSap/Phxj5irWi0WiAgH/88ceI/yqVitVq7XQ6\nIpFobm6OtnKlUsnlciMjI5jOIascHh7K5XIY07lcLhqNAv+DDbKwsBAKhdRq9e3bt3O5HMFg\nrVYLbyf3mEKhMD4+fnR0BL1reXk5lUqlUil0eHzMAoFANpuNx+OCIHzwwQf4sGq12ujoqMFg\n+N73vscxCRHl//yf/3P//v0bHvTNBn3tVjgcPj4+1mq1b7/9NkkiVw/t/v7+8vIy/UH0c3a7\nfXNzUyqVms1mcmPVavXS0lIikWg2m4VCQS6Xa7Van8+nUqk++eQTo9FotVqvoHf4CwATQ9lH\n4cCACG+bIAgGg4EZznvvvVetVo+OjoxGI4W8XC6PRCKLi4uISY6OjoAvl0qlk5OTQCBweHg4\nOzvb6/Xef//9jY2NRqMRDodv375dq9VyudzCwkI+n4eNOTY2BjjY4XCgBkPI8fbbbxPBhY0l\nGo3CGvV4PE6n86OPPtrb2/v0009dLhfxd/l8nneSkDCfz8dez66dy+Wgy3PdxvZdKpWwWSuV\nSovF8tZbb+3u7pIyRRE6NzdHzY5PcmtrC2M6SrtGo1GtVgEzdTqd+/fvg+FG1gYxlSkuvwPd\nDIvFwrQN1j7+GqVSCfeVqMlut5vL5RYXF+v1OuG5mUxGoVDQnfB6vTs7Oww8mSIiizw7O2Oi\nODg4WK/XK5WKxWKZmJh49eoVF6ZKpYIjFNonLpiDg4NoNAoW3O12g7hCL4SAstfrpdNplUpF\niMHS0hIHAB2nq+SwoaGhZrPZbrehBSADDYfDpC+m02mLxcJG32639Xo9lqiTk5NKpRIMBmFx\nYL+8aXHcDAmv3VIoFPQfk8nkp59+2mw2T09P9Xq9Xq93OBz/8A//cHh4qFarR0ZGuEsODw8n\nk0muxlwk/+Iv/kKn0y0tLdHN5MHe2dmBds8dnNlgMpkkvGNhYYEHm2svT2mj0fB6vYDtaVUz\nzfP5fBaLJRAIzM/PVyqVt99+++joiNIe4Z3P59NoNMh4f/u3f5v2pU6nQw1C8T4xMTE9Pb2x\nsVEqlcjBGxwcLBQK8C4EQRgcHBwcHDSbzf/8z//c7Xa/+OILUqXX19fJvkKqDIxNr9d/+eWX\n9Gdu377NRBSoZiQSwVIM7eGdd94JhUKhUIgWOYYRQRDEYnEqlVIoFAsLC1988YXH4yGR2mw2\nHx4eRiKRer0ej8f39vZev3798ccfEwsrCILL5RofH8fuQT7Z1NTUzMzMgwcP6vU6HSdCp4aG\nhgRBEIlEmDMjkQgZIhqN5vDwkNSoXC6HhZrMbJfLZbFYnjx5QggZ/aKpqSmygOVy+dtvvw1A\nuVQq7ezsVKvV3d1dn8+H61oQBJVKtbCwIJVKP//8c/Q2/X5/bm6uXq+jrVSr1UajkbMqlUq5\n3W5Yz9TaDPfy+Tzx6hBFiF6j7392djY3N2cymVKpVCQSYVg6PT29tLSUz+ddLtfBwUGz2fzR\nj37U6/XW19e9Xu/c3Bx+olQqxRHCG8Vo5K//+q/39vZyuRzFwb/ydVNBX7v1q1/9KpVKEX6s\nVqt7vR5JFnijSXTGJ+J2u8VicT6fx1JosVhev34Nzh/QPhUoMHVkealUijrO6/XabDYyQ+Px\nOHDOTqejUCi63e7Y2BhKZ3zDdCHYCGAhAW5GeHB+fg7SAVJSo9F49epVq9Uql8vLy8vVavX1\n69darZYmAPnW+/v7lE5Ul2xeZMdIJJLz83OLxcIcr1Kp+Hy+fr8/MjJCaS+RSLxeL1Fbb775\n5jfffJNMJj/77DP292g0etUcLxaLtMs5yaheLRYLgzLAx6hNSD41m81jY2M+n4/bPVwRiURC\nli59FUikxIxxX6nVagzZUDIsLi7+6Z/+KVeTzz77jIOTwezVAJbeNAWyz+ezWq2AQUqlEh1b\ni8XCELXZbIrFYqIUq9Uq4X6ff/45jr5EIjE7O0sqCo0mqVSKm5EoW3R+er2eLESTyTQ9PR0O\nh7PZbKfTSSQSPp8vHo+fnZ2RhWYymVZXV0ulEu7w8fHxTCaDuHttbU0mk21ubjLPtFqtWq22\n1+vhJ9JqtbShVCpVqVTiF759+zbKS2LM9vb2Xr58OTIy0mw2Q6EQekSdTodrFIkkzvJisdho\nNO7fv//WW299m4/iNVg3G/S1W9Fo9C//8i/v37+fy+X29va4XcKuVKlULpcLas+dO3eQPbBt\n3bt3L5lMlsvlwcFBp9OJlkOlUhE6RUDG4eEhTRgMTgAAIABJREFUDj24DaFQiEANHmNIHTxs\nHo/nysxtMBi4wELKp9VAsFM8Hnc6nWq1GvUVU8FWqzU5OanX60dGRuhB89R1u93j42O66kAk\n2NoEQbDb7ZCXJyYmstmsxWIhtqPf73e7Xblcznzy+9///uXlJd0MxBLFYhHRt1QqPTs7o5dC\n1Aj99FqtFgwGIY0IguDxeEqlksvlQuNxdnaG7IQdRK1W/4f/8B9KpdLu7m6/35fL5QaD4ejo\nSKFQ7O7u4o5Bip5MJvf39zUaTTab5V1ieOv3+99///2JiYlWq5XNZkulElRlUlxbrRZdZije\nSqWy0+lIpVKNRuN0Ogkqc7lcKJoZ1uE7Hx4eJlX99PRUJpMpFAqSVRUKBeAnv9/Pm5xKpdrt\nNvqNarVKEJdYLCbwLB6P4zakmYPyXafThUIhl8vFnw+rNx+G/f19Zgyg6UhEpLB99erV5eXl\n8PBwvV6fn5+XSCTPnz+3WCxut1sikeRyOdRH6XR6dXUVNj+oL71en8lkCFFEJo9AkJ41RT3U\njg8++OAG2H+zQV+79c0339CfZYCDKxcBFpKMy8tLp9NJ9kSj0VAoFIVCIRKJ4GqBeBmJRPAi\nJ5NJNiOyjtiJRCIRLUXqsl6vR1mEMaFcLicSCco3xoNs0IIgpNPp0dFRtVqNWu6NN964uLg4\nPDwcHx8nTgVn2pUSi6+C+OH3+/EsoIaG7SCXy8ViMdHdgiDE43HawUwLGRjCuUcCHI/HJyYm\n1tfX2Z6Qo6HLvjo26LryZioUChwWnECVSqVardpsNoVCodFojo+P6b+bTKZarWa329977z2n\n0xmLxaampprNJq35bDZLPzcYDELSAMhJzW6323O5nNVqZRD6+7//+4hkIpHIp59+Suw3+CGR\nSCQWixnfCYLAd4AZguPu9PQUmz45rb1e79atW/F4PJlMikSiiYmJ8fHxfD5PsyiTyXg8HqlU\nur6+jnsI8hRzY7KyksnkRx99hPhyeXmZMXI2m7Xb7Waz+eTkpFwuM+QUi8XoMaAG2u128LZL\nS0uMFtF0UgpEIpFbt26VSiUUOxsbGyaTaWxsDCY1rkK0ibTjZmZmmGyzp/Nih4aG1tfXOflk\nMhkpjoIgML0cHx83mUz379//th7Da7JuNuhrt9B1tdttUq8ymQz9ByL4oHSm02m4Ylc6Yp1O\nZ7PZDAZDLpcj40osFp+cnJyent6/fx/VVDqdvri4yGQyw8PDiDfYCARBwJ0MsJjtgyZ1t9sd\nHBy8mibNzMzk83mpVFoul7mVQ/6EupfL5QKBABw+kUjEPyM6KxKJEJm4u7sLg8JqtSJLoAys\n1+uMjwwGAwg63g0GlTAfUNTu7e3p9XqRSIQ22WAwoGiWyWRGoxFfDF9LI54jATW3IAgWi+WK\nRg3hSKVSAZ73eDy0LGitgFTFwOnxeHCOqFSq4+Njq9V6eXlJvyWVSlFKNxqNBw8e/N7v/R6E\nqZ///OdbW1uUogjILi8v4eoNDAwgbSapb2BgYHR0NJlMPnjwwOPxKJVK8l+YW3IetNvt4+Pj\ndDrN+VqtVpeXl//u7/7OYrFYLBaPx3OVmthsNv1+v0ajgXYtCEKpVPrud7/b7/c/++wzmUy2\nsbEB0ho1DkNj6vpoNHr79m1aN6urq4VCoVKpXFxcxGIx3nOZTLazs7O4uBiPx202GzpFnU7X\n7Xb39/fR2l9FAfR6PTgnVwezzWZLJBIvXry4e/cuziadThePxzOZzIMHD8LhMKCubreLpf4G\n2H+zQV+79cknn3z55ZfQGp88eQJVI5PJkGDEcHxtbU2r1c7OztIEmJiYiMfjGN4sFsv777+/\ntraWSCQePHiAmTsajWo0mkQicXJyQhNZLpfj6Wg0GsziksmkVCrFWCwIglKpbLVaY2Nj1Fm9\nXk+lUgHPGxsbI+mVzZofMTU1RWDg4eEh6XOCIAD4J5aFhC1BEPR6PThQgqwwAV5eXs7NzUml\nUnopGM0FQeh0OphWCoXCnTt3rFYr+/jZ2ZlEIpmfn+92u9j/zs/PkUWDhSLC6uTkBHqqIAgE\nyL7xxhskPKG5NplMfKFcLp+cnHz8+LHFYuE2YLfbCfzOZrPJZJKN2G6302uGtT04OLiwsJDN\nZgnP/Xf/7t85nU4sGPRJDAbD/018FQQBew5xJJwclUplfHycVky1WuWkgflXrVYbjQZOE5K/\nR0ZGotGoXq8vlUoKhQLVjVKpRN+Gx/3s7IwzVSaT4R+Ry+UvXrzgxbrd7lgsptFoKpUKLLpw\nOOx2uw8PD5mjAlylQL59+zZEJ2Aj8XicJASpVEr+GfTRZrMJ8RWbPt18pVI5NTXFFo/KG/UO\nsP9CoQDO6eHDh6Ojo4SXgxCwWq13795Vq9U3LY6bDfrarbW1tW+++QZX3u3btwVB4METBGFg\nYAAbrs/nSyQSpGG53W5oZy6X69GjRxSD2B8MBsPFxQWT+mKxKJVKA4EA5ulCoRAIBJiVt9tt\nSjwahaR/YiVAZEbxW6vVXC6XXC7f2NggmAPjn8ViAehBx9NqtVJEU+4x7gPuQ7Zpt9vV6/Uq\nlQq4u9frpfVJUQ+e+OrdwI0CIDQWix0fHyeTSZ/PJwiCz+fb2tra2toKBoNkCabTaewnrVaL\nqA7ylngPs9ns1NRUPp9PpVLBYNDv9+Ob58agVqsnJydnZmai0WitVkPRkclkotGoXC4H50Rs\nQjKZJK6JfJZ4PD45OSmVSufm5u7evet0Ojc2NgRB+NWvfnVwcNBut8vlMi1mtMP8Ca72VqID\ndDqdz+fDh016ocViEYvFZrMZW00ul1MqlYijtVqtXq8nEjCRSPj9/hcvXoyPjx8cHKAJsdvt\nsLEajUYulzOZTNFolKhv3pxkMklCYLvdJluL+FqZTLa2tvbuu+9GIhHEGP1+H8s+7ZTx8XGt\nVqtQKEheZ6eemZl5/vy5QqEgbDeXy7355pt88AhMIAcA9sjAwECr1fL7/Z1O58svvyQLjR4O\nf6bj42PAsGaz+QY3erNBX7v14sWLdrvNjL7f72cyGbFYPDY2Bvr94OAAJ3G32z04OPD7/URv\n0AyJx+PQD5CLHRwcgJPe399H3nRyciIWi3FR1+t1TG5+v597vU6n02q1pVLpxz/+sUajaTab\nzWaTDEAkdAAccC1Wq9WpqSloy0ajsVwu2+12t9t9eXmJIMFms2FWRjGSTCbBSALS44LvcrkO\nDw/n5uaOj4/7/X4ymcRTdxW0intYEAR+BDNDo9HIWTI7O8twbH9/HyUG2Rwk5HJFwADS6/UY\nJNpsNqCduN3IkIZJ8od/+IdIiTnMKF0fP34MrR9IMQ1isVjMkWO32wOBwOvXrzUazfz8/MzM\njEajyWQyX331VSgUwh3H5ACidK/X4zaA9w8jfq1W02g0IyMjEE0xiEaj0W63K5PJ+AD0ej3E\nNuij2cjK5TJ5rDqdDgEygVvtdjuRSIyNjSUSCeQcVqvV4/FwmVCpVEtLS+vr66RKMtswGAyZ\nTIb2dLlc/uabb+bn5+kmoTovFArgBAgUVyqVMzMzAwMDkFUCgUC5XOa6YDQal5aWKALwwmxs\nbPT7fb1ebzAY8A2Bxr64uFAqlZubm4VC4f79+1yD8NYLgjA/Pz81NfUtP43f9rrZoK/dev78\n+dOnTw0GAx4zmUxmt9t7vV6/39/e3uYOSNHKTRlPh0ajIdTD4XC0Wq39/f18Pn9ltqbDIBKJ\nLBYLYPV8Pg+ATSKRsPmC/USWEAqFTCbT7u6uVCpFDeb3+ylsBwcH0W/Z7fb19XX62na7nRBF\n2JXdbtftdpM+JQhCKBTCSoePDhcyjeaTkxONRoMM1uVyaTQaAA6wm/FbC4LA1dtisTDxTyaT\nKpXq448/JnZWr9dTrTMRFYlEoJ2Gh4eRJ9P8hag5MzOD7zmVSvG2xGIxrVZrtVohHx0cHExN\nTQFjoujb398fHBwcGRmBhGk2m0Ui0bNnz8bGxl68eHF2dra0tGSxWGZmZriS01L453/+53w+\nz3yVw+bi4mJsbIyfS4tfEASXy1UoFAipwlrNSA1AB7RCqVSKXaXX642MjHz11VcoEfkYgG8V\nBIGRL7pmg8GQz+fpothstoODA6TKu7u7er0eiQ4ZaWSyVCoVciB9Pp9Wq6VnMjExgWAOzngi\nkTg9PW21WktLSy6XKxwO40i6vLxk7z4+PlYqlQgl6/U6bTSSxhQKBS3sq6AGGvRDQ0P5fH5g\nYIDrVD6fdzqdYrHYZrMNDw9PTk5+Ow/htVk3G/S1W5ubm/gAVSpVLpdrNBrBYJDLNXh+dkYQ\nzPv7+5ggvvjiC5vNxpwdCbPBYIjH48izzGYzzDN80pVKpdPp7O7uwsRBToC0WRCEarU6MzOj\nUCiwEtB5kEqltVqNarrX61HmEHBFbUvYM6DhkZGRer2O5MvhcJyenjqdToyC6+vr2O1KpZLB\nYDCbzUqlErpmIpEYGhoKh8NerxecP/JhQRBoMtAM7fV6c3NzvATCZL/++utarTYwMKDVahGM\n53K5YDBIjuKV3+Hi4gLgtUKhSKfTXq8Xi3YymaQt0Ol04vH48PCwSCRyOp1+v5/kF5DQarU6\nm82OjY3ZbDb6ueFw2OVykZ87MDDwW7/1WxqNBjn55ubm1tYWPwsRoUwmIyVgamoK4ivXFxB3\n5+fnP/jBD/g9S6WS1WoloIsWPOGwaChDoRA5KRaLhQwEGibBYPDo6OjWrVv4s71eL5CNarWa\nz+eRXkDnuLy85CAhRw3HCqnn9Xp9cXExFArJ5XIcm9hTOf4fPXpUrVZnZ2f5DOAqmp6efv36\ntUgk4mOgVqsHBwehjyLoXF1dJVL28vISvsrm5maxWDw/P5+dnY1Gox988MH4+Phnn32m1+uJ\nLfd6veBW7ty58208gtdo3WzQ127t7u5++eWXcBiSySSqMp7SQCCQSCRWVlYePHiwubmJVfoq\nfjAUCkmlUq6omUyGi7PValUqldFoVK1WHx4eHh8fIxfjUQH+S2kD7E2hUPBwViqVW7du5fN5\nmhWpVMrpdFLJYn65vLx0uVyVSoVgAbVazaCy1+vFYjH4qFy96VTAcsKvMTw8TOB0KpUym83Q\nUGdmZrgiRCKRSqWCwpoBGiCev/iLvygUCkdHRxg6rmCn3W5Xp9MRgo7HAYWAwWAoFovItAVB\nEIvFUqm0VCph8Nnd3e31etFoVKVSCYJwenr605/+1OFwEIKFdwO+2tjYmFwu39zcBOkHhxq+\nBwghmUym1WpnZmaUSiUZIv/lv/yXbrd7fn5uMplQ46FxnJyczOfzDC0BRfHqiFskG5ffh3Nl\nZ2fH6XQODw/HYjEgrn6/H/a/xWIxGo1GozESidRqtZ2dHXBO+XzeYrGQep5IJJgfIISn3cG0\n+cWLFzAO4V8PDg6Sz00ACpBu9BiExQwPD4dCoampKYLA+VDB3xCLxY8fP6azXK1Wu93uyMgI\nQWVcwuiD0YujVfL+++/L5fJ+vz89Pf3pp59SjDNOsNlsYrF4b2/vD/7gDxBf/mteN1bvm3Wz\nbtbNuqbrZoO+dkuj0aBJ2N3dReQrkUhMJpPJZAqFQmdnZ9/73ve4zsvl8pcvX2q1Woq4t956\na2BgYH19/fz8/ODgYHl5WaVS5fP5ZDL5+PHjQqGQz+f9fj9tBHy9iEOA2zGSwqsyPDz84Ycf\ngpNXq9W0uVOpFJZchm/VajWdTvt8PqZemAYbjcazZ8/omfZ6Peprv98fCAQMBkOv18O6Mjk5\n+cknnzBnQ5BnNpspLQ0GgyAIQ0NDMpmMgh351+Xl5evXrymp2u223+9fW1sDgkzznZ61TqfD\n/s7dXBAE1MSCIHApGR4ehoB8584dQl0dDgfOCNo409PToDJ3d3djsRht006nc+/ePaKn+v2+\nx+PpdrulUml2dhZ1ygcffODxeKivM5kMfWR8Q4QWxuNxpBco4ZgQFgoFJB/dbpdhJsoHOOC1\nWu3f/Jt/c3l5+ctf/tJgMHQ6HZ1OJwiC3W5XKBTxeJwXMjMzY7VabTbb3Nyc0+mE0byzs4Nb\nmmmnRCJZW1tbWVkhTOvly5dLS0u1Wo1my8DAAB6Z58+fHx0d7e7u6nQ6mUwml8ulUim8ulqt\nBmhfqVROTk72er333ntPEARGHZ1OBzy/RqOB/vq3f/u3z58/b7VakGRWVlai0ahIJHr8+DH4\nXOR6W1tbcM/NZrNKpQKRWCqV5HL5lf/zX/O6aXFcu/UP//APGxsbH3zwQSaTwYIB740mLwB7\nxKdSqRSVGyZAqVSayWQID338+PH/+B//gwZxtVoNh8PgygYGBlZWVqDZMZorFArn5+darZZc\nKKvVmkqlMCtarda5ublkMpnP5996661yuQzHEkiI2+0GmDc6Okr/MRKJjI2NdTodvoqBfjqd\nNhgMDoej3W5vbW0B2BsaGgI8D1CfCd7Z2ZlCoej1enq9HmVerVajbXrr1q1yuazX661W69bW\nllwuv3fvHq2McrkMOFutVqMalslkgDgEQSBo0W63Y7eJRCK3b99uNpvz8/MnJyeEHGaz2fPz\n84mJCVj+8Xj8jTfeWF1d5RASiUQ6nQ6jYL/fR9rR7XaPjo5QcB8dHc3MzKjV6qGhIX5/Gg5H\nR0eVSkWlUqEELxQKb7zxRr1ePzs7IxhM+E28y9DQ0Pj4+A9/+EOXywV5+SqIUhAE8hAgYguC\noFAoULXbbLZcLudyuTY2NhwOB3kutVqNmbDZbOYXcDgcx8fHiUTihz/8IRm+nGdbW1ucxzSp\nCYXADUgbnbnl5eWl0Wg8Pz9vNpuQsA4PD6khvvrqq16vNzo6enx8/NVXX926dYskQ0EQtra2\nJicn6/V6IBAYHx+nRw/iSq1Wx2KxcrnMTy8UCnq9ntj4hYUFnKjr6+tIgz788MNv81G8Butm\ng752C6JCJBJhU2g2m+wvMpnMYDDQ0nW5XFKpNJlMEi26vb3927/92/gFiHmtVCpzc3Orq6tI\n6BwORzabxbo9Pz+PlkClUrE50oXkp9Mevbi4aLfbLpcrGAyurKyACiLLWSwWM1nKZrPBYBBO\nhVQqVSgU4JjFYnGj0UD5C8yTbXRtbW1+fl4sFsfjcQR/dL3VarXH46G/KRaLcaMQnXU13yOq\nnJiu9fV1h8PBBGxwcHB2dvbTTz91Op2lUglzSrfbLZfLVqsVp8bExAQJgTabzefzIRIgqQRa\nE8JErVY7NzcnkUgwrOv1euSADocDhAWDr1wuh5gamkS73eb6Mj4+7vV6wbmtrKyQPs44FBky\nNAy0w1cZKxqNBgH4O++8Q8AKGYOnp6dLS0sOhwO5Ya/Xy2QyXq+X0G5q3mw2K5PJTCaTwWA4\nPj52u93Yc+izk+k1PT2dz+flcvnDhw+j0WgymUQJhwhaJpONjIycnZ2hsRGJRBqNZmdnh+MQ\nm49YLCbC8ejoCMW9Wq0GH+r3+/m/GMGB32o0mtPT00AgIJVK1Wp1qVRKpVLcnwRBoPAXiUQO\nhwOV99nZGYcK6bfYcKjcHz9+fJNJeLNBX7v1N3/zN+fn55FIhNEWtLBUKkWp22q1UCiHQiG9\nXl+tVh0Oh9VqDYfDdrud58Hv93e73X6//+DBg2g0eufOHSj1sNKZ0igUCvKVJRJJpVIZGRnp\ndDpOpxMLH/2TBw8exGKxQCAAyoOgE5jIcBVAgojFYpPJdHBwYLFY4KDK5fJ4PF4sFpkj9ft9\ns9k8Pz//85//PBqN2u124lcKhYLH47FYLGgb9Hp9LpebmJgoFArxeFyhULA9GQwGJGLFYjEW\nizG+I/F2amrq9PQUswOZjYIg4J6o1WqYa4jIw92HnXJ5eZmAlXK5TFPF6/WOjIw8evQoFArB\nladwxglyfHz87rvvxuNx3vytrS1yVTB3kHc1NTXlcDguLi5evXoF+5igWEpULihUwezpuFSo\nVW/fvt3tdt999929vb1CoYC8XafTESqYTqfpNsBXAWM9MDDgdDoJc2Ds2e/3EbclEom5ublI\nJMIxNjg4qFKpIM2KRCI8TTh6zGbzxsaGwWCYn5/f2Ngg+WFhYWFnZ2d5ednj8UgkEsDQGxsb\ndrtdJBKBaYbqB/TK7XZDNTEYDOBq+/0+cbfNZnNqaopxJcKPbDZ7enqqVCpVKtXGxkan01ld\nXVUqlRcXF/jdkV2DPPX7/TcqjpsN+tqtra0tsjwkEgkACgoKckMuLi7w17pcLpoS8IDa7XY4\nHIaogHejWq0SreL3+998882///u/t9vtfCuxWIz9YXR0FHpcLBbD8yYIwvj4OMqzdrutUCgk\nEonH40kkEr1e7/z8HHUt0gjomiaTKZvNvvfee+vr6/1+/+TkhFQBhUJhNBrb7bZGo1lZWREE\ngUoZ0ojL5QL6g2kFiXQ4HEaSgXT68vISk9vZ2RncjLOzM4piEHTs3QAqPR7P8fExnQ1MNyjY\nGo0GCmj+2a1btxDn8VbMzs6ur6+Pj48PDw9zBUkkEugoVCqV0+ns9/s+nw8kPw1i3DFPnz79\n0Y9+ZLPZms3mv/23/3ZoaCgWi4Fw2tvbW1tbGxgY4DoiCILNZiNl6vLyUiaTDQ4O8n+Rt1ut\n1j/5kz+BkkrlCAoD6IpUKiVf5vbt29FoFBff1NQUXQJcOTDvK5UKe7REIjEajVwU2u023iJy\nbPP5PMjpxcVFuVze6XTy+TxBt4hMJBIJBlGs5Oi4+bTodLpCoRAKhWQyWSAQuLi4oMOu1WpR\n7zWbzcXFxVwuB1X84jeLkoLqHjeNUqlkBNLpdPR6vVQqdTqdCoXi+fPnqVRqcXGRkIEb3OjN\nBn3t1mefffb69Wu5XE6eUzqdBgrc6/UA+GL4VigU4XAYvhroIjD5Dodjd3e3VCqhCPZ6ve12\n+8mTJxaLpdFovPHGGxKJJBQKtdvt+fn5QqHw8OHDZ8+eCYKA2QEIJwR3+HAPHjzAwwaCGX8w\njQ68f9TguMIajQY1ZqPRGBkZIZLjxYsXfr/f4XC8fv262WxOTEwYjUZyxNVqNQDSjz/+GHcG\n3YxKpYJHhguEwWAg+Jmcp0Qicfv2bVx2bAGg5cvlMrZDQRBwTMhkMkaXUqlUq9W22+379+9z\nPzg+Pp6amtrf38d8/L3vfY9QgocPH4LJHhwcfPbs2fT0dKFQEIlEpVKJXnCpVCIcQCqV4oJ7\n9913BwYG+DXUavXJycnW1haeHe4lbrebjGosMwMDA0AKBUGQSCTvvPPO6Ogou7lEIhkZGYnF\nYkNDQ4lEgtgqPERnZ2c0hXQ6HZ1oHCKI2zQaDcHbV3HDdJbPzs5isdjs7CzQUavVCkEUupNe\nr+eoI6ibUndwcNDtdv/VX/0Vg4pyufz222+zBZNj6fV6aSWRa87Fgkz0arVKHtDi4uLR0ZHJ\nZFpcXPzFL35xcnKSzWZp6cCMhqwN1EUkEkWj0YGBgYcPH2KTSafTWOe/rcfwmqybDfrarc3N\nTfY7Jja1Wm1wcDCZTFarVY/HMzg4uLe3h1mZ+/vAwACGumazifKfgsjj8XCvbDQaaE4DgUA6\nnc5ms3DvWq0WD7zL5bqKuCdvlKin6enpO3fuwGxzOBybm5vNZvN3f/d36SrQynS5XEqlkoDE\nbDYLJgIgBtx3TCWghC8vL//Tf/pP//W//lfIEnK5fHh4GLBqPB6HHXF4eEizG+0E4A4ktCTm\n9Xq9qamp1dXVR48eSaVSo9GYzWbZvwRBaLVaSD5arRZGRGKncYUAJ/r93//97e1twCDwjEZG\nRoxG4xXldWRkZH9/XyaT+f3+V69ejY2NnZ6e0pTgRNne3j48PBSJRMfHxz/4wQ+SyWQymazV\naiqV6rPPPiN5z+fznZ2dTU1Ntdvtvb29q78v/jo0DGazudFo/PSnP83lcvV63e12q9Xq09NT\n4gUKhYLZbGYy2Wq1hoeHnU5nsVhMJBIorA8ODgKBQCwWw1Neq9XK5XIgEMhkMrStbTbbu+++\ne35+nkqlzs7O7ty58/r1a7vdzgSSoV88Hvf7/QhCmGd+8cUX5+fn8/PzNpuNkEmLxbK9vQ3e\nhIm0Xq8vFosjIyOJRALxCZIb+kijo6OhUKharS4tLZ2engqCwAnh8/mUSqUgCEajsdvtNptN\nq9Xq9XrNZvOdO3fgkp+dneFUCgaDNyyOmw362q3t7e1QKHRwcLC7uzs6OppIJMbHx91uN9so\nzl2DwcCYyGazud3uUqnEzH1zczMajWJXGRoaMplMlUplbW0Ng1Y4HJ6dnfX7/U+ePOn1elar\nlbgWkHJX7glu4vBFc7kc926sKN/97neVSqVUKl1bW6OaJuBOp9MRjQHKmZKfXwMritVqjUQi\nUqn0+9///v7+Pk1evV6/v78PCBRUHsM9NAz0AThymN1RcuIDHBgY6PV6gHXkcvnh4SFdC4/H\nQ1g4wQIQPxYXF5PJJAK7mZkZt9u9trYG9Z9+6PLy8tnZ2dOnTy0WC5Ef8Ex2dnb8fn+5XC4U\nCl6vl7MnHo8bjcbV1dW1tbV2u53NZt99991Go9FsNkulUjQa/frrry8vL6FN8TKLxSJSP0DS\nwm+GsWKxGNs0DQGCWvr9PgezVqslfgFTZaFQuDo/OJITiYRMJtNoNFChzWazzWZ7/vy5y+UK\nhUKIUqisjUajz+cjzzCZTJrNZgLjYYD8+te/ZtsdGBhYXV1dXFzUaDSCIKBFefPNN6VS6eHh\n4cjISLvdhukhCILf7z88PGw0GsVi8WqAMTw8XCgU1tfX3W733bt38/k8Eo52u720tIQbFlPl\nixcvGo3GxMQEuJVCoZBOp8kYS6fTyWTyzp07NzS7mw362q2f/exncBfZ1Eh+0mq1bJrYuwkV\n9Xq9CGMh/mDEuri4QLdwenpKT9nhcKjVapfL1e12i8Xi/v7++Pi4SqV69uwZF/mTkxO9Xk/+\nKW5v5pNwfs1mM2rl8fHxv/zLv4xGo9vb21KpdHR0lKaHVqt9+fIlJXwikQgGg5TttFOYGm1v\nb2s0mkgk8vjx488///zs7MxgMCQSiVu+PGH1AAAgAElEQVS3btHE7HQ6crlco9HQ76YMbLfb\naJnRA5BHDgHO4/EYjUYMeMVikc0onU4PDg7yqq+Y/cSH8yqkUikmdSKlx8bGKK7r9Tp8O4/H\nEw6HCaMZGBhYWFgYGBjI5XJarfbo6IjXJZVKqdO51//0pz9lR4tEIiaT6auvvopGozab7f33\n32eXhANF6Y2QhkQup9NpNBrv3LnjcrmMRmM4HB4ZGeGgMhqNp6ent27d6vV6pKhEo1FCctEj\n6/V6aCGIzUnJUiqV+/v7jx8/3t7evry8nJ+fr9VqdJCPj4/1ej2lvUqlIv0gEAh4PJ6NjQ2t\nVktkGvMG8CMmk8lut09OTopEIvgkSqWyXC7v7++TZXOVi0gKD98ZzCENOmLAQG1As6tWqycn\nJ2azORwOk1gYCAR4w0l2VygUAJUajYbNZrvpQd9s0Ndura6ufvHFF6R2siOYTKb19XWGb69f\nv6ZaCYVCKpXq7OyMHGsKNJqnqVSq0+kQ1rm7u6tWqxkbMkPL5XKQcW7fvr2wsDA0NKTVaoeH\nh7kXa7XaK7Z9tVpVKBSPHj0yGo3Pnz8H4RaPxx0OB6w4nU6XTCanp6d/+MMfptNpkrQMBoNa\nrb579+4nn3ySz+dVKhVCK5j9wWDwn/7pnwjlEwSBlig9EMQMmUym1WoVi8VgMEi+FFA9Jlpm\ns7lerxuNxmQySWSBwWCoVCrvvPMOXQiM2pR4LLlc3m63ZTLZ7/7u74LgofQmaCaTycjl8rm5\nuV6vhwikXC4zwkI2E4lEuLJwGDQajdPT0+HhYbvdbrfbg8EgqYBqtZromf/23/4bqbt7e3tX\nummr1QrXtNPpuN1uQRDy+TwtfozywWAQYaJUKiVtnRFlpVKJRCJmsxk1Wz6fB7c9PDyMaA8h\nh8PhkEgk5XJZIpGEw2ESAplMMCeYn5/nv8MzkcvlMpkMAiLEO0EQQPHV63XiUQRB4BqBdN3t\ndheLReiGyKuVSuXx8TEOF+JaXr16xf/1+/1g+Cm3oSdS709PTyPNvLy8/Pjjj7e3t51OJ8Pe\nubk5lUql0+m+/vprhIAfffTR/+On77qtmw362q1/+Zd/ef78udlsBjPGpFulUgFJoAgSBMFu\ntwProfNLVoXX60X3yg4VDAZnZmaePHmCZmthYeHy8vLo6MhqtRoMBpyB6XSaM8Dn86XTaQJZ\nrlA+giCgoYYVWSwWQV5cXl6KxWIiq71e78uXLz0ez9nZmdlsDoVCzWazWCwSSJrP571eb6VS\n6ff7qJVTqRQ1LPcAnHX0BFqtlt1uFwThyjWHiRElFrJlxCSCIJRKJYlEcnp6OjMzs7Kyks1m\nq9UqVHs8HbRBnE7n6OhoPB7nO7NnabXag4MDTiNkYejt1tfXjUajSCQ6OzsjUQUpejgc5upd\nKpUmJiboloLD93q9xN3CCYnH4zKZjE4LbyBSOS4ldMy1Wi1QoUajsby8fP/+/YODA7lcTnoh\nA0C1Wr2+vl6pVJDryOXy09NTtNJer/fZs2cktyKLBqKyvr4+MTGB7KdarRIBk8/nl5eXE4lE\nPB53uVy0v+12O+6ko6Oj+fl5u91Ox8zn862urlL5kgVBRcxNiFeE3Fun0yUSCavVWi6XjUaj\nIAhMgLly0a4B+Y3UutFo+P3+VCrFtJnPlUKhiEQiKGTOz8+Zfx4cHMBmmp2dxaz4r3ndbNDX\nbj19+nRlZSWVStntdpPJlEgkqHoQJHU6HZ6HSCTCdKVarbpcrlgsNjExgazK7XZHo1Gu4fV6\n3WAw1Ov1qampi4uL169fDw4OKpVKtB8Gg4HYw3g8TgdzYGCAjJJSqTQ2NpbP5/P5fKVSGR0d\nxbcGyx/zHjVRqVRij8PsMDc3h/4P+A7OY6p4iPtKpdLn86EhK5fLzBuvnm2NRoNwkNgk3hOM\nghcXF9hPlEolYhKu9tDUCBmBXjQ/P4/0UBAEi8WC+e3HP/7xr3/9a4lEIghCKBSy2+04wkFg\n/87v/E6xWFxeXm42m1Sy8P6vWuTQ1wqFgsPhSKVS4+PjsViMphAVolgsXltbY6ulbWK320FX\nt9ttZGSkz5CDnkqlLi4upFLpRx99FA6HDQZDOp2mZTQ0NNTv94+OjrChk3jNGcnhB+dTpVLx\n34kWZCSgUqk+//xzl8ul1WqDweDJyQkJKR9++CFmJcaPjBZarZbb7cbQhONpenoasnav19vb\n25uZmUHU8fDhQzBVDx8+PDk5+d73vlcqlWKx2OHhIQc22b74d+hXTE5O+v1+RghvvfXWy5cv\nA4FAMBiMRCJDQ0O9Xo/QxVwuJ5PJcKiihCEd8cGDBzeZhDcb9LVbOzs7X375pVQqDYVCvV4v\nEAjodDo2XFBhdrudMdrS0tLZ2RkhoVwk4U8eHR0NDw8TcwfhVyKRRKNRrVbLUKhUKhUKBW7u\nsVgsEolcMRxQvIZCIUEQKpXK5OSkTCYDPM2tEzEGpl6M2m63G8Q+N32ajNRK9+/fj0QiP/zh\nD2u1GjNMUPGZTOYqNqVWq52fn+M063Q64+PjFxcXHo9HEAR4FPwz2gtQhvGwYP1AZnB+fk7q\nq81mI8Xx/9bbmc1mr9d769athYUF+j8MXdG3rK+voxVZW1uzWq0vXryYnZ0l/Btym8lkQhWH\nMPz8/HxwcHBnZwczEaJDfJ6rq6tIGEli1Wq1lUrFbrdj++SmkslkyDC0Wq39fv+9997r9Xpm\nszkWizGpMxgMiFiMRiM5LOTeJpPJnZ2d8fHxzc1NAhzIeH3+/LlEIsEwLZfLT05OcL2jnZdK\npVf5NQRZwfJ+9913yTchGBeiIbecVCqFZOWqgs5ms2tra/F4PBgMPnv2zGQyvXr1Sq1W93o9\nqOK1Ws3pdO7t7V0FGcvlchCD5Ew+ffqUz16j0UilUufn5xwwWBNVKpVYLF5ZWRkdHa3X6xhh\nlpaWblQcNxv0tVv/+I//SMv43r17CEVXVlaoQGdmZuCaA4E8OjrS6XTlchleEpB7g8GAwA6l\nF7sq43Usy41GA40wzpSrtFBGQ+l0miu5IAgEcACWpHUwPDy8u7sLgxiADhYMWh9erzcajXq9\nXtQCtVoND+Hz58/JTMrlcpOTkwsLC8fHxzabrVqtTk9P07JAS2s2m6VS6cjICCgisVhcrVbx\n49VqNRKbmEENDg4KggDEkmZLtVodGho6ODhQq9VyuRwch9vtXlxczOfz0WjU7XbjDr916xbm\n5mKxeHZ2du/ePdIF+/1+PB4H0xEIBNrt9hdffMFdHso2Hh+5XI4n5eHDh+12e3h4mBSCeDz+\ns5/9jPc2GAwKgvDBBx8A7ohEIuQ00uQFCcv2JJPJuHNQTUskElyU/FnPzs5Q6RwfH2OmRz4I\njx+FJakxoJ9RWRwdHdntdq/Xu7KycvXHQrOIL0atVr948UIikTB/Rmtvs9lAQheLRYlE0uv1\nKGzPz8+pAAKBABLMcDi8vLzMhDmbzWJiBLHNMYlN9CrMV6FQOByOYDD49ttvp1KpRqPx53/+\n5+12u9lsYmjqdruoDDnj+XgEAoEbJ+HNBn3t1v/+3/87HA4vLCzk8/lXr15JpdJHjx5RwCoU\nCp5Ji8XidrvJqzcYDFTKJpNpc3Pz4cOHarXaZrNBpyPQfmhoCAUbDROaj0CO2u32n/7pnxqN\nxhcvXgwODg4ODkIyo3Rqt9v4O7LZrNForNfrdGAtFksgEPjyyy/9fn82m52fnweyY7VakQPi\nEqZ3TNYtXZpCofD69Wvkg0D7iMoGkjcxMeF0OoeGhqLR6N7eHtFHAOoIeKVjg3NEIpGwG05M\nTEQiEa1Wa7fbqWeJqa7VakajkV2P/UWlUiEYsNvtT58+FYvFgUAA4F8wGBwbG6M6RgoyPT0t\nk8lyuRybDjpfanaNRoM4nQxZuVxOqt7KygrRByQDjI2N7ezscF8xm820OzD78Zvo9Xow/4RD\nGo1GDlq73d5oNKiRufXX63WPx2MwGBBHrq6uIowhclAsFqtUqmg0GggEmNMqFIqf//znbreb\nawedCuaiZA9iLCyXy2S/Tk5O7uzsKBQKaNckA0Bu4uNEBDuIK3pfmG74bJRKJZjR9Xp9eHgY\nStfk5CRy71arpVarX758eXp6it/1KoTX5/OR0tLr9ba3t5Fsgq42Go0PHjz4th/Hb3ndbNDX\nbpHhFolE7HY7NHeXy8VMCfFyqVRqt9uLi4urq6s+ny8Wi8VisUKhcHJyYjQaG43GyckJrWQG\nQYBvBEG4c+fOycmJ2+1utVoul4vRUCaTCYVC8XjcYrEgnzo7OxsdHcX30el0yDD0+XylUsnj\n8USj0YWFhUKhsLa2NjIyotFoMEaj9pVIJDs7O7Ozs/l8XviNH+FXv/oV4A7quPHx8adPnzLI\nguNBajgd9t/5nd+BKNRqtchwAifEZZwYAY1GE4/HycqbmJgQiUTFYlGv1+/u7oKAEH7THuE7\nt1otfIBEZV9N1X72s5/xL3u9nkajmZmZQSOcyWQajcbAwADUoVu3blFuX+WPuFwukmiGhobW\n1tbkcvn09PTf//3f0x2mLeNwOJLJpNfrff36NQApXosgCFjyisWi1+v98Y9/zPUFL2Kz2XS5\nXBMTE71eD2ElLkGbzUbvYnd3F11KIBAgQmF7e1ssFhOss7Kygs1PoVAw5BSLxbR9gSvxlvKS\nc7lcIBDY3t5G1nJ5ecnUV6/Xc1vqdrtTU1M2m+3nP/85QeOkpuH5jkQiFovl+PgYXK0gCACS\niLmyWCy//vWvHQ5HuVym9TE7Owt16+LiwuFw5PN5gLGHh4e5XA55qFQqlclkGxsbTqdzaWlp\nbm7u23oMr8m62aCv3fqf//N/xuNxEBZjY2Mej4fWRLlcBmRDMQXSl42V3FKKbqPRuL29LRKJ\nYrEYXg/io46Pj0ulUrlcZvpPSZtKpXq9Hl5t/GmVSoXcbq/XS3fS4/Go1WqNRgNrzWQyoWtG\nITs4OBiLxYjIIjFaoVBotVrSFCnWKEWNRuPJycnCwsLR0RG3aSp0Il1QQF9eXv77f//vc7kc\nAa9KpTKbzUIvwkozNDT03nvv0W0XBMFms4EPDYVClUqF8pZEPvR2hEVhLB4cHJyamiLJKRqN\n5vN5jONXuasikcjj8eh0una7zXUB/TjqXbvdbjabCTyly/GTn/wkk8l0u91kMvny5UsM1gcH\nByTqvvPOO5wrnU6HpjDpscFgcHl5eW1tbXl52Wq1+v1+ZpW4InFL7u/vBwIBPNMkw+IPqlQq\nMzMzDD/BJNXr9eXlZazhxWKx2+22Wq3BwcF0Oj02NoYah5wUel/VavXi4iKdTqtUKpvNtr+/\n73Q6e72ezWar1WputxuXfzQaxUGayWS+/PLLgYGBqakp+uC8ll6v53A4arUaVbZIJMLaurS0\nxJCTzx5wcNQyzWaT1g0M2IODA3J58Fh1Oh2bzTY6Onp4eDgzM4ND9cbqfbNBX7sViURSqVSz\n2RwYGHj58mUymdRqtYRzHx0dAVDP5/MPHz5cW1ubmJhgj6CLFwgEcrkcRSJ1IjIyo9E4Pz/v\n9Xq5j1/Z25CLof81Go3MdjqdzujoqEgkstvtTqczFoslk8l2ux0MBlG22mw2kgMrlQo98Vgs\n9vXXX9++fRsXXzqdFovFExMTn3zyyfLycqVSIWJqenqaEMVkMmm1WvF2e71euD+1Wu33fu/3\n7Ha7y+VKpVKff/45SdicH7w59Xp9dHQ0GAx+/fXXFouFTRw9ANIREqzD4bAgCMFgkE4CoVOQ\nPGdnZx0Oh9/vN5lMa2tr9NZrtRqC7mw2u7e3B/5JEASJRAIQjkTETqdjsVjkcnk+n9fr9XQq\nmOWaTKaNjY2TkxPI3QxRg8GgVCo9OTmJxWLCb+w/1Wo1kUjQ/H306BGeQMxEmUwGtRlgQpvN\ntr6+jtgcK41Kpdrf3+/3+7yrV3ak8fFxg8Hw4sULRBQYPTjkNBrN0NAQ2kqFQoF0ZGpqSiKR\nEHfJhSObzULAoCn88OHDy8tLTk1uWs1m88svv2TkEAwGq9UqMWaI1rVardfr7Xa7T548wTS/\nvb29vr5OKO3CwgLgKmxHhKW12+25ubkrUfb4+DgSfmbO7XZ7dnaW3Kx/zetmg752i0359PQU\nwZnb7WYnAi7MvA65KKUKegyJRMLWTEmIeKPX66GHRWFK9PXW1lav10NdCy1BpVJBUv6P//E/\nisViEmBJI5yZmQEGsrCwQNGKyhWvMDYH9rUHDx7wENIlgPNgs9mY+cDgdzqdIyMjOp1ua2vL\n5XLxEjD+YQskrLpWq3399de4ReBnarVaYEwGg+HVq1d/9Ed/lEql0PD2+32oFECFKpUKHmtm\nX7VazeVyMfOkC+9wOHZ2dnq9ntFo1Gg0oVBIrVa3Wi2Hw4GsbXJyEharIAj0zfkRDADQYj98\n+JDOTLfbJcK11+v98pe/JNKl0Wg8fPhQKpXCOx4eHt7e3hYEQSwWGwwGTN5ms7nZbI6MjNBq\nmJ+f1+l0JBKUSiW+8PLyEgg1Xe/Dw8N6vY5+fGtrKxAIrK6u4tMhrMRisdCbKhaL9+7da7Va\nWBnD4TCaZc7X3d1dPglzc3MMJGlJO53Obrcbj8cBh8IJabVaTBfoyUBfymazTqfTbrcDq0J3\nAeAbVxEJDCqVCo8iZHD67G+//bbFYsFnDxKAOSfOncnJScCKcrlcpVI9fvz4W3sOr8e62aCv\n3fq7v/s7UkS9Xi9OM5qhlL0ajcbpdEYiEUEQFAoFmrl0Ok2IvdfrFYvFBMiSnM12w0NIdIjD\n4Wi1Wpubm36/H3u0IAhqtToQCLz55punp6eZTIbqDGHZ/v7+1NTU2tra4ODgzMyMXq+n41Es\nFrFWoxoOh8P9fl+n08Xj8St424MHDxCKFIvFjz/++GoHh4SHULrdbpMJjaWNqZ1SqTw/P1co\nFKenpwSbVqtViUQiEolmZ2cDgcDOzk4ymcT7rlKpms0mgUxgi68aweTbCoJAe+GP/uiPJicn\nC4WCz+erVqv7+/tGo/Gbb75xOByCIJjN5vHxca1WS6eeA4ZDwmg0Dg0NscWguNjZ2ZmZmYlE\nIgcHBwaDgczss7Mzkkf+6q/+ioL0/Px8dXUVqQk6X5AgDHXv3r3L7aHRaNCTaTabg4OD4KgI\nZMFBQ0rZ+fl5sVi0Wq3AnrxeL0FihEjRqIG8ure3F4/H7969u7+/r1Kp0MBgdidH2O1253I5\nVNK9Xi+ZTMI5gtpqMpnoqjGT5A+HIZNLCdh+ctQWFxdfv369tLRktVr5fMbjcYQl+Xye0fHB\nwcHs7Cw0u3v37k1PT3/++efn5+c0TzgbGFEQIcao49GjR9/WY3hN1s0Gfe3W8fHxv/zLv5TL\n5Z/85CcHBwfn5+fhcJi2HQwKHARIIPg0A+RkPtbtdoeHh0Uikc1mI66CIuj4+Jg2KCAIs9nM\nv8fFF4/Hec4///zz3d1dQRAMBgOMMVAbv/Vbv5VIJOghQqSkMMdjxljp9u3bZJH0er3FxcV+\nv5/P53F2MPkxmUz7+/t+v39/f1+r1SIbGB4eZnoGWv773/8+ZxINBHK8CoUCTOHLy0uDwTAz\nMwPrZ2FhoV6v+3y+jY0N6jgOFYaiExMTOBjpBWu12nv37h0eHtpsNqLw7Hb7kydPQJqACXzz\nzTfReieTSZVK9cUXXwQCgUqlgqK5XC673W5EhMjadDod/j2FQvGLX/xCqVS2Wi2lUjk9PU23\nutlsIl7EN8T8E3T90NDQ48ePa7UalHqDwRCPxyuVyv7+/tjYmFQqXVlZ4cLBOI6+UKvVSqVS\nLpeLKahMJiPWZHh4OJ1OMzxAnMPNgMIc0zw0DMYSCFTGxsbImcQTqNVqA4EAVGuJRFKv10kF\nw4kuCAL3KpVKxWGJ8oTynF5/Pp/f3t4eGxvL5XLYLy0WC079vb09yv/t7e2vvvrq4uKCAnx2\ndlahUGQyGc4hQRDUavX9+/fVavXNBn2zQV+79erVq7W1NSwA6Ct8Ph9lzuDgYCaTcTgcYBwW\nFxcx6RFIuL+/zzaNPfr09HRwcJA7Mj6O+fl5BHn1ep18QiKRRCJRJpMxm83/63/9LzYLhUKB\nf+zZs2cwg4rF4lVoExFW3GTpBqhUqtu3b2OZCwaDjx492tzcRGpGlOr09DRma9QgTqcT9H4m\nk0EiQicdKoUgCGAr5HJ5IpFgWNfpdHw+Xy6Xo49MdwWc8eHhoU6n6/V6DKD0en2r1RIEQSQS\noQKmpZPP5z/88ENiX9xudygUQupAIkkul8Oqg1jYbDa3Wq2hoSFMKPV6PRwOq1SqtbW1YDC4\nuroK947hYb1e397eLpfLy8vL0Wj0nXfemZmZQUSMP77ZbCLvY15H/2R+fh5qKPOxRCLh9/uN\nRuPY2NjFxQXbMRI9nU7X7/fBUSF/DAaDcrkcsTYjQZKrSqUSDL9oNHp+fv7q1Su5XC6RSJrN\npsPhQBRPLiJQ/1evXlWrVYvFMjQ0xGFfKBRoOzDtQI/x9OnTcrk8Pz/P4BrxjFQqpfzP5XKI\n9uCOTk5ORiIRynCpVEp8DxPIq+a4y+WyWCzn5+d37tyhVL93797Ozk65XP7jP/5jjUbzj//4\nj++8884bb7zx7T6M3/q62aCv3frbv/1bqVT67NmzQqGQyWRwKrdaLWxmb7311ubm5sjICPyN\nZ8+emc1mggehcbJRymQyQKAymUyv109PT6vV6lQqBTFydXX17t27zWazWq0yoiGdhF2JKZ/R\naFxfX8fxDGIJTqZMJiMv1Wg02u12t9sNgl2v179+/VoQBPhtyWTy1q1bqCYuLi50Oh2KXTI4\nJiYmstns8fExmSD0W7l937t3z2azUc3ResZCiYGCbNOlpSUmb6jNMER0Oh2pVIoo5eLiwmg0\nojfgDIMyjIBXLpdvbm7abLbl5WU0iO12GwN3r9dDbEeEmEQiefXqVTAYLJVKVKZQh2gff/rp\npwT7ArZPpVKhUMhkMk1NTY2NjXW73Wg0WigUtre3iawFq8I1XxCEhYWFt956i7HY6enp2NhY\nLBar1WqHh4cEHaRSKVIURkdHaR9NT0+3Wq1arZZOp6empq6A/U+ePPnggw+I4Lp///7x8XGv\n19PpdMvLy1D5UfKAu1tYWGi328lkEtFLvV6/devWq1evIH4Ui0VcrBMTE2KxuFAodLvdubk5\nYCDr6+vNZtPr9ULLYmqKEb/ZbCaTyV6v5/f7IT3FYjE6MBqNBqBdr9crFovEjyGIZs6cy+WK\nxeLh4eHQ0ND6+vr29vbQ0BD+8m/1Wfz2180Gfe3W69evNzY2dDpdKpViGEjANroLYDdAKsLh\n8NTUlMfj2drawjw9Pz+/trYmCAKa4oWFhZmZGSxejOnZvCwWS6fTCQaDP/jBD/7gD/5gZWUl\nk8nQw41Go+Vy+a233trf32+1WlNTU5jHKpUKmAtEaQjCgGcWi8XR0VG8f8Vi8Sc/+Qn7xeXl\n5d7e3vT0tE6nY1pI4iqQvGKxuLi4iKOPxqvJZKI2RIkMU6nX67nd7pWVlSs2/8zMDFIzNODM\n7mZnZyFFQHFiWnWVemW32zmB7t69C/MIhnK32/3kk09GR0dtNls2m11fX5+dnSUii5YubviL\niwuoTBxXOzs7d+7cIa0REaRcLl9aWiqXy1Kp1OfzjYyMDA8PHxwcdDqdo6Oj3d3dcrlcqVQY\nrAFTlcvl3/nOd3K53Pj4OJ7JcDj85ptvulwusVis1WpJhPJ4POPj4xCsvF7vr3/9a7FYPDMz\nQ99pfHwcSNP8/DzwPAKrGo1GOp0mmBX9CY2stbW1ycnJs7Oz/f19yNQ6nQ5tZa1WazQa4+Pj\n8XgcJIDb7eaO8vTpU1oTp6en/PXp0rTb7Xg8nsvlEP/Q8+HtKhQKsMhhpQqC0Ov1QqEQxhlI\nI/V6vV6vn5yckKceiUQ4SC4uLsRicTabHRsbe//997/dh/FbXzcb9LVbz58/x8JA/pNEIgGX\nTG0IQxLc2sjISC6Xi0Qi9Cho5rrd7lgsptFovvOd7/Cc4AYMhUIot3q9HiqxZ8+eORyOdrsd\njUb39/e9Xu/w8LAgCGNjY9lsFj8xACaClgVBkEqlNA36/X44HEafsLy8fHh4iJtcoVBsb28v\nLCyAuTg7OyMylbu51+s9PDxEEeH1ej/77DO6B5eXl0wabTYbxr+Tk5PZ2Vmr1bqxsbG3t6fR\naNCWEAIwOTl5fHwcCoX4/m63m247g0H6Hh6P5/T01Gg0XlxcVCqVgYGBP/uzPzs5Obl9+7bb\n7U4mk3K5/MWLF7SY19fX6XcfHR05nU5yxfr9/v7+vkgk4vygdfvkyRNgx1NTU2xJ4XD4iy++\ngCBIcqNer/d4PLFYjC/MZrP1eh1Qaj6fv+oGfPjhh2CdnU4n8WYo+cLhMEFfoERrtVosFvN6\nvfg2xWLx4eGhWq3GyS2RSFQq1cnJSb1et1qt/x97b9rb2LlmZ29KFClxnmdKJCVS81ySXINP\nlaf2sd3tk9M4nU4jSDpoIPkBAQLkhwQI0EiAfEkaB0EPafdrV9vHLrtck1wqzbNEcZ7neRT5\nfrgQ/YUqINqfDEMliRT3s59n3WtdSxAEktmcaUAe0iOTy+Xu37/PCWZpaanb7VJwPjU1pVQq\nMVZ2u90HDx6w8aeCYGRkZH19nR41iPvEzXU6HUs5jyKDwXB8fOx2u/P5fKFQWFxcxK24vr7+\n/fff6/V6PslSqZTJ5+HhodVqDQaD0J0wHTabzXA4LJPJLi8vJycn7927d+uDvl2g37nrl19+\nef78udVqTSaTeCRGRkZg5tZqtX6/j8Fjenp6aGio2WzSuh0IBIrFIimSRqOBjVen04Hg2d/f\n39jYgJ7xp3/6p4eHhyCk+/3+48ePNRpNNBpFb+12u8fHxwMDA+Rx2XyJxeLp6elsNms2mxOJ\nxPT09M7OztLSEmVIkImIR3OebbVa+/v7rVZrfHwcqClCBEh+OmQHBgaMRmMwGKRgG6laIpF8\n+eWX8Xh8ZWWF5B4a8eXlJfa7mVK5hbsAACAASURBVJkZr9e7uLj49ddfMxJEvxYEAf9svV5H\nQKDND9OhQqG4d+/eBx98QDCdygKRSLS2tpbP53d2diApq9VqmUxmMBioA2dql8lkaGAymUy9\nXo9oMggUTI3FYhEaSblcTiQS7733nsPhQF53Op0AldB2mJUB0R8bG6N10G6301P+9OlTug44\nYYRCIboL+v2+1+uFvJFKpXBMn5+fr66ugkChhor3B05esVj84osvcBDGYjGXywUgEGGKQxjP\nsxveP36Yra2tXC53eXlJ3xUmIrvdflNWwEPXaDRiuTk9Pf30008hQePmtlgsAGRCoZBGo9na\n2iImrlQqTSYTtBAW9Ha7/fHHH+PT7/V6fr+fRh4YVWdnZ1988cXq6upbvhvf9nW7QL9z1x/+\n8IdsNgtAw+l0vnnzRqfTQSI2GAzj4+PBYHB4eHhqaurg4ADg5P/+3/8b+bVUKkUiEZLE9J4w\n/jKZTMyOHj58+Pd///darZZcHI4xlGjETUEQ5HI59UX4uhqNRrFYvLy8nJ+fD4fDPp9vZGQE\njhL8nevr63Q6DW+PiZnf76eEFEcgDIpWqzU3N2exWPr9frPZHB0djcfj8XgclSOZTPp8vouL\nC8r3aCWHfJZMJrEfTE1N0UVrtVpFIhEtea1WS6/XM5WC5oOVQhAEbLx6vZ7y8qWlJWSZiYkJ\npO03b94sLCx8++23RqORLIZer7darcyyaD8YGRmxWCzpdJqWv3Q6vbq6iuHE7/dXq1UWTdpA\nsAzfu3dPpVLRBcXeFp8yP0Imk83MzFgsFrjVPBKGhobkcvl//+///cWLF7/61a8qlcqbN2/G\nx8dZJePxOKs8/hk6WY6Pj0dHR8HjSaXSm1JwmUzGsenw8NBoNJKiHhwcJJ7earUIN0ql0unp\n6cvLS4Z4xWIxm816PB56AgmdNhoNo9H46tWrkZGRo6OjP/mTP3n+/DnLfSqVUqvVXq+XOfb6\n+jrZk4uLC0YmdB6Wy2WRSIRhn+AoYwCRSJRKpdxuN29sr9cjTTM0NKRSqWZmZq6vr//iL/7C\n5XK95bvxbV+3C/Q7d11eXj5+/Pju3bv1ev3HH3/8+OOPgdpA9olEIn/2Z39G71G/33c6nbid\n8LRZLBbGMmyle72ex+Mhvzs3NwdxWCQSORwOQomRSGRycnJ4eNhisVit1r/8y7+MRCLNZjMS\niTD0m5ycDAQCdrud4eGDBw/UanUgEMCjRrXKzS4VK0Wr1bJYLMPDw3fv3h0YGGBXu7y8DAUC\n2zUF0hsbGwMDAyyp+XwelGihUKBQkWWlUqmo1epWq5XNZhHQ79y5g9Gt2WxS5QcIjWKBwcFB\noKy8mQqFwmg07u3t/eVf/uXy8vLJycni4iJ7SYvFYjQasdxS8NrtdtPpdDqd/vM//3NODyaT\nCasv1CdBEFQq1fn5+eTkZDAY/Oqrr5BTfvOb3/z444+oPcVi0Ww2C4JAmgN3B5UxEL0NBoPb\n7QbwJJFIkskkXGZkn8nJSWj9xBGpNm+1WhTaqlSqTCZDbB3fBW8gNKhCoWA0GsViMQ0DKpUK\nZmmv10N8gEjlcDi0Wi1oaRhSIyMjnU6HKD91AXa7HexJKpWSSqVqtXpiYuK7775DUC6Xyzqd\njvKUarWKm7vZbCKDwJKWSqW0zpPXxxsqkUgikQh/bqPRyFj75OQkm82q1Wq+8rPPPhOJRNls\nVqFQ3MKSbhfod+56/vx5r9djKwrI8QYyNzk5GY1G9/f3rVYrQzmFQvHLL790u114mDid8UuJ\nRCIOvKAt3rx5Q4k1XeAajSaZTE5MTCQSiXg8vrq6+m/+zb9xuVynp6fZbBZCMaWIo6OjhAkh\nnL1586bVamH+Q9Sm3w+wpFgsnp+fJ0YMn56zc6/XQ3+cnZ11u92c93FowZw0GAwqlQqJFgsE\nsjv7aLy3NJAuLCysra1NTEzs7+9TLgVtlT0jfSKUeeNpY3n6q7/6q3w+D+AClwiGaJVKhehB\nhEQmkykUim63K5VK5XI5em632y2VSujvV1dXVK6Ew+Hx8XHh//agB4NBmUwWCAS8Xu+//bf/\nluLEi4uLG6GDP26z2TSbzXa7nRJem81Gfw0QO6Bu9XodGAjSbSgUooJkfX09EAiIRCIGD5VK\nRaFQ0HGVy+Xy+fzq6ipLGxM8PGpKpRIzz+Hh4cTERKlUSiQSFEGUSiVsQmQvS6WSSCRC1oAD\nhfDVarUKhQLzTEEQRkdHBwcHBwYGAoGA1WrVarXFYjGRSJTLZfrDYPspFAoqfdvtts/nEwQh\nFoutra3BjTIajTzLkfLNZjOjVGKZdLc/ePDglgd9u0C/c9fPP/+MlxmcDf0pVMfSDDI9PU0i\nwOVyPX36dHFxUa1W2+121FidThcIBGiyYAESBMHv99P8fXV1JQhCuVxGD8UW4vP5xGJxoVBo\ntVr/9b/+VwC+V1dXmM+azSbhOrY/8CVUKtXe3l6hUJBKpbFYzG6304gRiUQ6nY5Sqcxms0ND\nQzA0QFGbTKZAIKBQKK6urhgzTkxM0C4oFosrlcrg4CDkzNnZ2fHxcY1Go9PpksmkXC4/PT0d\nGhoqFosg4qRS6ePHjwli8C6BT2L7TJejIAj9fr/T6ZRKpY8//vjhw4fpdFokEh0eHvIqCOkh\nJZ2cnICaury85Lit1+vj8bhWq02lUjKZzOv19nq9crns9XrJ0TCWPDo6slgsyA4vX74UiUT/\n+T//55cvX3Y6nUQikUwmbTYb2rHRaCyVSjqdbmpqitRMq9UaGhoKh8McMjqdzuzsrNFoxBrY\n7/dFIpHVagVWlUqloJsCGwGjyoLucDhSqdQnn3wCsg7TG7Y/Xq/ZbOYrcR8WCgVgGlR2uVyu\nfD5vMBhWV1ePjo5gg5TL5VgsxoeQUDsDTFoOhoaGjo+PQbsIgnBwcDA0NMT35EwjCAI7d4PB\noNFocrncyMiIQqHQ6/WIJ8w22PvjUZmammJQLJVK/+N//I8Eah49evT2bsR34rpdoN+5C4mZ\n1YejK5aym/EOPB25XH52doaFOZfLBQKBUqmkUChYkkBbkAdZWloKhUJs0KanpxUKxfLyMv0X\npBCdTieUiVevXmH+ZScuEokkEgmTRgA3UOcZu+v1ep1Oh/KIH462EYTLdrtNzNdut9frdZge\nNInU63Uaj7xer0qlGhwc/Kd/+icaVTQaDVKDSqViigWcL51OZ7PZqakpRJX79++zAGHSOj8/\np280EAgwIRweHmbVNpvNw8PD//pf/+tKpTI6Ovr8+XObzcayIpFIcrnc5OTk7u5uNBolIE7T\nx8rKikajuby8hNhnMpl2dnYmJydhSnBUB/4H3wddIp/PLy8vf/zxxyKR6Ntvv/V4PGq1+unT\np+A0S6US/O7x8fGFhQV+UD6fZzEF0xGPxzOZjMFgoP0ARsrBwQFHH5FIRJCSTbRYLN7Z2Rke\nHg4EAmtra1QdkhsMhUKlUunTTz9ttVperzccDkM+osWR7Srhpnq9zoOc2lbOKyqVSiKRFIvF\n1dXVVquFPZkIOAcvDHyNRsNgMHQ6HQgnr169kkqlPNKWlpYuLi4mJyexqMNjyefzFxcXGo3m\n6uqKAe/o6KhIJNrd3S0Wi9FodHFxsd1uT0xMfPPNN8lkcnl5+bby6naBfueunZ2d7e1tBnRA\nwoxGI9OqarXq8Xg8Hk8ymbRYLOfn5zqdbnR0FLGPPR0Ns4IgIPguLy+D0ZHJZA8fPmRYd3h4\naLFYGo1Gu93+4IMPkslkJBLZ3t4mYpdMJm/aj6rVKtCigYEBegtHRkay2ezExATzSYoKBUH4\nq7/6q1evXi0uLtbr9WKx6HK5yCJ2u11iJgMDA9FoFCkW11qpVCqXy+Dt9/f3we+Njo7i8wV7\nXSgUKHzCGnF1daXVagGDPHjwAOVhcnLy9PSUtlaRSMRJgoFnt9v9T//pP/3qV79SKBSg7wYG\nBlqtFg7fkZERGk/Ozs7YsNdqtdnZ2UwmMzIy8r/+1//yer1M3tDHnU5nPB7Httzv9wF6yOVy\nQiho3yysBoOh3++Hw2G/34/sDpji008/5a0jf09CmiGk3W5/8uQJeUKUGf4KkL4dDgdBEjxz\nGxsbfr+f2A7m5cXFxbOzs2AwqNFoXC4XvdrVarVWq42OjmazWeLpQL0RT9i5k1ONRCL7+/tD\nQ0PIOLVaDZjUDz/8oFQqDQbD999//+mnn+JW5uGNsK5QKJ49e3bT0DgyMqLT6ba2thQKBVlK\nqVQK3ZvWCHosw+Gw1Wpl7iqTyVDwyCXipORJdrtA3y7Q79x1fHzc6XRoJFlbW/P7/evr6z6f\nb2xsbGlpCcPA/Pz8xcXFwsIC8DmZTEaKJJFIjI+PE/ntdDobGxv5fL7T6eDZgLfgdrtdLtfh\n4aFIJFpZWWGTjtODuk/qXJkUORyORCJxdHTU7XatVmsmk6HXbmRkZHp6Wi6X53I51jW2q4RT\ncLNx47EgEiFzuVxarZZyWDywCB25XE6r1UIx5bG0srJC1SmpyE6nQ/eK1+v9zW9+89FHHx0f\nH7948QI3QiaTOT4+hooJOBRrWr/fX1pa+vf//t8/f/58eHj47OwMZb/ZbEajUb1eHw6Hy+Wy\nzWZ79eoVcM6bItf79+8PDg56PB7QfZlMhuYRIB7hcNjpdG5ubtpsNo1GgyntwYMHo6OjXq93\na2uLZCMG9kaj4Xa7M5nMv/t3/06pVMbjcY1Gs7u7SxgEHWl4ePj4+Hh8fNxisezt7c3MzIAe\n5SHqcDhIcFAlLpfLLy4ubvCk2Mb1ej0s7NPTUxBXgiD0er1erxcKhRgRN5tNDEJUhWm12sHB\nwYuLi36/T3kCrA8otdg5GGyGQiGPx7O/vy+Xy3u93snJydnZGVI+6g11wy6Xq1qtnpycoMtd\nXV3dwFt6vV4wGBwZGQEXziadpt3BwUFmjw6Hw2Qy4eHjuXvv3r23ezO+9et2gX7nLsRli8XC\nqKfdbn/yyScMcKjvZMBdr9fxONM2lM1mOREvLy+n02mbzUYIe3t7m7D1hx9+aDabNzc3aRih\njBm3GVSN+fn56+vr3d1djUYTDAZVKhWrv1QqBdljt9vJ6c3OzjabzZ2dHYb4rEEUeXCeTSaT\nJpNJJBJxph4aGsrn89PT069fv0ZoBiLs8XgCgYBOp1tYWAB+ND09zTfBsSuRSOLxOAQSj8ez\nsLDwJ3/yJ/l8nq7V3/3ud7zqRqPx4MGDwcFBl8uVSCTAuQUCgd/97neffvppMBgcGxtDwaB5\n5PLyUiqVsogYjUaalmQy2cXFxdjYGNWuu7u7iNHb29skhvx+P2ppu91OJpNMJvP5PFbCbrfr\ncrna7TYCbqvVqtVqYGOLxWK1Wl1bWxsbG0ODarfbDAmYi5ZKJbSm6+vrTqdDyTesThLngiAw\n+dTr9ZlM5ocffjAajaxloVCILpUb2KzL5To7O6O1hNQPhEK5XH4TOu/3+z6fTyqVRqPRpaUl\nVk+mwcPDw5FIhOEeXvtQKEQPIZKUTqdbXFx0Op2lUgmciEgkYvSHpUcQBAyCKpXq9PRUqVTS\nYgwaCWE6FoulUimOBSsrK8RVjo+PbzLoNpttamrqdkh4u0C/c9fx8fH5+TklIBsbG0qlkgZ7\ntVp9dHR0fX3t9/s3NzdZLn/44QfKoXHyIhCPj4+Hw2FERuD309PTR0dH5XJ5fHycoTzeOFTI\nSCRCNZEgCMAZUqnU+vo6SrEgCBDjaGkZGhpyu91bW1szMzNospR+4sBlmSiXy8ialImwXSXz\nDRSpXq9PTk4eHR2BoMxkMl6v9/LyslKpTE1N2Wy2RCIRjUYZc9lsNox6CNl6vX5ycpKUMEgH\ns9lcKpXomrFarQTwPv/8c61WS+kMOP/Z2Vk2j7VajTcTbCawY+BzxWIR1QLdnLg5Qzm6BeBX\npFIpRmc4o4EWlUolNrZMIyG7Ymb/3e9+1+12K5VKMplES0FU4RlANHRmZoa9v1wu7/f7BKnZ\n57LqBQIBqnJ5z+lVIZZZKBToIaTn8PLyUqFQ+P1+pnYff/xxp9Ohn4XxLMRngvXBYBBrM4go\nVDI6Iq6uroxG49HRkcvlajabiUSiVCqBFhgZGcnlclT9FgoFqofz+bxarZZKpT/99BOHFRLk\nZAiB33o8nnw+Pzc3x+qs0WgymQxjQ7lcrtPpgJsDJ7l///5bvRff/nW7QL9zV71ez2QyDMq/\n++67eDy+vb0dCAR2dnaeP3+O2thsNvnco/DKZDL8WIIgQPI9OztbWlrSarUKhWJsbIwGZZfL\ntbW1xaxpcXGRAdTi4uLY2Ng//MM/KJVKlgk67o6Pj1E8oOew57VarZxABwYG1Go1DXIsfBxj\nBwYGdDrd4ODg7u4u/4qtn9Vq3dvbQ+UQi8UA451OZ6FQgCba7Xbv3r0rlUpXV1cxHa+ursJN\nxS07MTHhcDjgqbIXxggBcr5UKmk0mvHx8S+++GJmZmZ+ft7hcBAX5AGmVqt/+umn6+treldZ\njFKpFEtqLpdLJBKPHj06Pz9/7733nj179sEHH8zOzsrl8uXlZQAaw8PDQDIh4qtUqkgk0u12\nNzY2gAGBw4fczfFFrVZvbGzY7fbh4WGj0ZjNZtfW1jqdDo0hzNBgyWo0mj/84Q9ra2u8vaFQ\nCEXb7XZns1m0eA4fLK9+v39jYwPiKwu9RqMhPE2On+e30+kEhC0IAo+N+/fvGwwG0LIKhYIq\nWAh2PEoZSvMjULQ//PDDUChksVgwVgNuLpfLer0erw4q1sHBAYMNesplMlm73QbgNzY2JpVK\nafMqFouBQGBqakqtVl9cXNRqNbfbrVKpcrlcLBbjYSAIQiqVevjw4fr6+lu9F9/+dbtAv3PX\n+fn5P//zP6vVaralIyMjyI6Iv3a7/fLy0mazlcvldDq9srKCvCsIgsvlYtwvFouVSiUmM5lM\nxuSKspKBgYGLiwvAGiAfv//+e+aBbrfbZDKRT5PL5QsLC69evbq+vsY8h91Cr9dvbm4iJY+O\njkJbRoIQBIFawoGBAQLf2Wx2cXGxWCzitHW5XAMDAzCs1Wq1yWQ6Pz+HZJ1KpYgXMhukE+vo\n6IhHztDQEI18q6urlUpFKpVGIpF4PI7XeGho6PT0lD5pFikIcCsrK+l0utlsXl5eEkPH44Ux\nI51O4+2jCoDBIAeU7e3t2dnZeDz+0Ucf/fDDD8QsLy4ukJUoChkcHEwkEpSLQ6iw2Wx0qlLm\njTxNLwH72Xw+j7v8puRbKpXiEYTxBHYKaqBMJsOmDdZKJBJRHJzJZKLRaK1We++9977++uv5\n+Xm5XP7y5UulUonkZTAYtre319bWCoXC+vp6Op3OZDJyuXxqaiqXy+VyOWLiMpmMYlxawHng\n4YDm6UWb+Jdffom3r1wu82swb2QuSg2uwWDggUSvjVKp5HDDR5d+lsPDw2g0yoRwYmJCqVS2\n2+0XL16Qd49EIuVyWaPR0KelUqkYS46Pj29sbLzVe/HtX7cL9Dt3XV5e0iyXSqU8Hk+73Q4G\ngySyHA5HPB7v9XrZbNbhcLDQNBoNsmFUEcpkMjqhLy8v2fDWarVsNgsDE7Hviy++SKVSfr8f\niunGxgbTpFwuNzY2lkgkCCNwWF5bWwPHwSQHlB2+BVqubTYbsyMGhjTJJpNJDMtKpVKn0/n9\nflaEbDZL9IZalnQ6rdVqJyYmDAaD1WrtdDrz8/Pn5+dIxmq1utlsdrtd/BvRaBS9mx/hcrkA\nSwFsYzP+/vvv488jeQiBk128IAissOFwOJvNZrNZt9vdbDYXFxch4WEj4zlH9fXQ0BA0Ir1e\nX6vVsKAwVtXr9dCIDg4OTCZTNpuFxEQ5d7fbVSgUKELJZJKoJwHxcDjMPyRCSSpSEASsMsPD\nw5lM5uzszOfzhcPhm6BgNps1Go2E90QiUbFYHB8ff/z4cT6fhx/Nu4RdD5k+GAy63W6IzPjf\nb/yRtVqNgrF4PJ7P58nCQMS+vr4Oh8PEHSmLQZXGgQ47MB6P49omX6NQKCwWCzbKk5OTarWq\nVquXlpai0ahUKsW7OTQ0tLGx4fP5eKotLi4qlcqDgwOC5iKR6PT0tFAoeDwe6NIGgwFs4du9\nGd/6dbtAv3NXvV7f2tpit8gQHBgb05hSqSSXy71eL4V4IpEIb9nMzMzi4mK/30c3ZA9rs9lE\nIhFR5v39fYfD8Wd/9md//dd/7Xa7ifx2Op21tbVmszkzM0NQ+Pnz5xKJBIaRRCKZmppCH8CG\nXKvVrq+vr66u3nvvPXo0qFYxGo1LS0uAm2HiZDIZnU5HRRMNtpRem81m0mIgOFwuVzweL5VK\nBoMhEAhQ4sXBmVUgl8vV63WGe0ql0m63Y/4jJZhOp4PBYK/XE4lEIEzhWJJfD4fDp6enc3Nz\nl5eX6XQa9LPFYkmlUgMDAxTmgsS8e/cuDgdaAgYHByUSCd4von0M1ngEMulSKBQgqHw+3+bm\nJsgq+mUuLy/Pzs4qlYpMJltYWGi1WpCnDAbDwcEBEpBGoykWi/V6HWO4Xq/nZQ4ODkYiEbiA\nkIkcDsfBwYHBYDg8PGR1FgRhcnLy7OxsY2MD2QeFh5fc7/eJ/I2NjR0eHqJdUMLA+395eUmx\nw/X19fT0NNn0qakp4jBWq5UHKtnIwcFBpVIJC4mTU6lUslqtBoMhGo3SmWK323H7vXr1io+E\n2+3+x3/8RywrPp8PKODw8PDJycndu3d5Wo+NjVHlMzw8TIhmeHjYarWin1BYvLy8/LZvx7d8\n3S7Q79yVy+Vg7HL8JBqAI+of//EfyQiwCkM07vf7H3300eXlZT6fx0WbTqcnJyephWUDq1Qq\nkUeZaB0dHf3pn/4pe1K73Q7aXyQSjY+P3717V6lUQrrpdDo3lAaGP8gCTqcT3GW5XPZ4PNls\nlpLTUqkE1I19dDqdViqVn3zyydjY2ObmJmMomUzmdDo1Gs3Lly8B8GOezeVyqVSKaRtopMPD\nw1qtZrPZVCoVzhBBECYnJwlTTExM/PLLL6Ojo/QKMqxzuVzz8/M6ne67774j8q7RaCqVCglG\npk8wLTUazdnZGe5ydoKtVovG8bGxsbOzs7GxsWQyCX3JbDafn59ns1mn04lSn8/nDw8PMaGT\nyCiVStlsVqfTmUymcDgMPpS29Xw+D2KUhjAoS6enp3ilwaXu7+/TZdPtdm9Apo1GY25uzu/3\nezwexN/FxcXT09O1tbXDw0NBEDKZTCqVQh9AykDFwkC9ublJ2Ri0UlyDJycnPp8PYzU5Q7vd\n3u12s9ks4kYymVQoFIIggPsggArHCtghlnDS/ND6efeYr2JnpmzQarXSVNvr9aanp/f29sRi\nsSAIIpEoEonQsigWizF3dzodNPTx8XG2HRMTE7cL9O0C/c5dP//8887OztDQUDQabbVa3377\nLfFcAJj1et1sNiMFQoBEk/V4PBSg0HB6cXFxdXVFPrBer/v9/oWFBYfDIZVKa7Wa1+ulVEkQ\nhKWlJag9/+E//IednZ16vU4EudFo/Pa3v8XOzNrB1Av+w8HBgcPhQCjAtGs0Gqenp3/55Rfu\nLnBLSDROpzOfz1O5TfUfsGm4cfPz8wcHB3a7Hb4+9zBShkqlQmzZ3t7WarUQKvg1er3eZ599\nFovFnj17htt6cnKS55lGo8HgRQXMTXefIAh0MI6Pj+OT6/V6k5OTUFIFQcBgFwwGE4lEKBTy\ner0U9KlUKpzmEomE58fTp09XV1cJKLO+QMJjM0ihVLfb/eSTT8Bnh0KhbDa7urp6fn4OpBuB\npVqt8k+0Wq1KpbJYLDxsiBqBMeJrGMlC7+z3+/l8/l/8i3+RyWSw9zQajVqtViqVJBIJPwKC\na7FYnJmZ2dzcHB0dBVwFbXl0dBQ2C3+dQCAwNjbW7/dDoRAnqmw2a7PZeO31en19ff2nn366\nEWSMRiO1MqBTBwYGPB4PSzmJGK1W6/P5CoUCGD+dTlcsFsGtQFvE3j4yMoLVr16v4wKy2+08\n3TudDofCt3krvgPX7QL9zl3b29tsiEql0tbWFh3PBM/Gx8eHh4fj8TgiNTMo0Lq5XI5SZ61W\nC2XpvffeI2hrs9k+/vjj4eHh9957r1qtLi8vm0ymyclJj8eD4Ds5OUnXKi1NPp+vVquJRCJ+\nKCJmvV7nJsThOz8//+LFC4Lg6Nc+n48N1K9//esff/yRrVwymYRQGg6H9Xq9xWKp1+vs3UBb\n7O7uplKpXq+XTCZJEgKKUigUAPN4E/CiVCqVxcVFmHyALyCLVioVk8kEd+nzzz8HTzo7OwuQ\nqNlsjo2NNRoNNv75fJ5cDKbjfr//xRdf/OEPf3A6nWdnZ9CrqdxmuMdDrtVqxeNxQRC0Wi2P\nk3Q6jZ+XUDtkQblcvr29zZItFovFYrHX6z09PZXL5WwzgWibTCaz2fz111+zr8epwjb2plTh\n9PQU0aPT6WA39Pl8Q0NDDPqi0ejf/d3fYYhkLGE2mzmL6PV6l8sVDAZtNlupVIrFYhsbGwcH\nB6yJ5MJBPrEED/3fi6qdTCYjlUrNZjPIlHq9Tg/swsICZo9er0czACqW2+0Gh813A/NPj/jJ\nyQkNxcRfd3d32RzQgqhSqZ49e0YFeKvVovHgwYMHp6ennAvHxsZuXRy3C/Q7d8Xj8X/6p3+i\nqZp0XCqVIirSbDaDwaAgCPRWZLNZqi4wclSrVZVKhQphMBjOzs44Mr9+/ZoxV6fT8Xg8h4eH\n8CtOTk4qlQqFQ5eXl1QdYuCj4yOZTJJ8oSsa2ieTKIY8tVotlUqdn5+zdpM8lkqlNzq4VCo1\nGAxUJZFa9ng8KNSFQgEgnFQqffDgAY1cRMCHhoaIjZB/yWQyYNjw9pnNZjx2EokklUp9//33\nn3/+eTAY1Ol0oNqMRmMqlcIDl06ncePx+InFYolEgiWeJeDy8pLZYK1WwyNxowjV6/UHDx78\n5je/+R//43/Y7XbSKPgOM5kMuUqVSsX+lyJHmsboylKr1U+ePKGihXa+bDYbiUTg/JXL5bm5\nuU6nUywWmWEWi8WpqSmtZKTsqgAAIABJREFUVjswMPDmzRteaTKZnJmZoR28UqmkUqmzs7NP\nP/10aGio1+utrKzodDreRpPJZLFYOIIwMBwaGqJ2J5fLgZ+mRC2Xy6GYHx0dmUwmiURiNBpB\nD0YiEc4K2OQ5B2BZmZmZqVarEE6Oj4/JkmCBFwSBh3G1WhUEwe/3c1RKpVIMURQKxePHj3Gd\nM/OEtUKkc3R0VK1WYy2nvJjckN1uv00S3i7Q79z1f/7P/wGyTn8KYxmox6xNhUKBoZDf73e7\n3Vih7927R4F3NpsdHx/f39+Hpq9Wq6FDiEQilEfSwBqNhnkXVdYAf0Ui0d27d6H7q9Vq2p5g\nuaXTaUEQCG0nEombW/df/st/2W63Iex0u93d3V2WIShOQNSi0ejs7Cw9eFdXV6QnxGLx3Nxc\nqVRSq9UA/glfQBFilRkeHqaZJRqNms1m0omCIMjlcpwMl5eXhLNTqdTBwYHP58OgBtRJrVbz\nVIMmivsbQE8kEsG5jE0Y3iab+tevXxcKhampqWQymUqlQqFQMBiE9cqr1mg0VO2Vy2XiPMQ3\nIHhYLJazszOofq1Wa3p6GuH75geBLfV6vfF43O12y+XyYDBoMplkMtnu7i4pvuvra5fLBbaC\nVIjX6202m/V6/e7du9lsdnd3F84nSOtyufzs2TP6fPmo4Hvx+XyJRAJMdi6XU6lUMKbhHarV\naiCFp6en9HKhsfCYaTQab968ITqkVCrL5XI8HpdIJGgyY2NjOIj0ej1YasiFoA01Gk2r1RoZ\nGfnggw9ardbjx4+xoEgkEpT3dDodDofn5uYuLi4whuMEvXPnDhVuvNKVlZW3ezO+9et2gX7n\nrp2dHRAzuVzO6XTqdDpCX9fX15SVrK2tJRIJIDisztxOhIN1Ol08HucISU7EarWC1xgbGwsG\ng5VKpVqtRiKR8/NzlUoVjUYdDkcwGORg63Q65+bm+KF6vZ6ZWKFQIM7H5vTevXtut9tischk\nMm5IiUSCM2x6ejqZTBIMw74dDodNJlMikRgZGTEajfV63WAwoI1MTU3FYrGRkZGLi4ub2SYu\nOigcYJ729vbASX/11VeTk5OghaizmpycRNEWi8Usx8lk8s6dO4Dq+bLXr1+32+319fVyuXxx\ncWE0GguFgtvtjkajbNt5CScnJ9TQfPjhh2q1+uDgoNVq4TqYmZkJBoOdTmdqaiqRSDSbzbW1\ntYuLC9oS+v0+yU+6ZkhpikSiSqXywQcfjIyMtNttfCadTodtaSaTyWQyZKObzaZWq93Z2Vlf\nX8/n82A5CYVC7Ltz5w6dI5wwnj17NjIyIpPJrq6uRkdHd3Z2KNtFWOdIBO6ZvOWbN2+oKxse\nHtbpdJyHbDbb2dkZscaVlRUqFpPJ5OrqKo89l8u1t7e3vr5uNBrhQPl8vqdPn7Lyrq6u8sdi\nEnh+fk5dJJ9GXEA0hGG2wYhiNpsvLi6oMQOUyOeQeE6z2aQGAUFcpVJNTU3dDglvF+h37trZ\n2dnZ2clms9ghNjc3kQJRhPEhwZYjZ8FOzel0mkym58+fKxQKjUaDKs09wJDQ5XIROshms2gO\n0B2hYbBGw7Ipl8uTk5M2m213d3d+fl4kEnEuXltbw8VFnGF1dXVzc1OlUh0eHkokEmpf2O9H\nIpHBwUGU7nK5TCI8FoutrKwoFAq5XM5GjJx6LpcjNR4IBA4ODtia0R1FkYparZbL5dT9xWKx\n2dlZxkoYaUFMCIJAEVcikVhYWPB6vaVSqVAoVKtV8h33798HAw+ADe6HVqt1uVzj4+OVSmVu\nbk4ikbx+/Zrgot/vf/Dggdvtvrq6mpubGx0dTSaTyNybm5vhcLjb7UokEsahRNvxh52cnLDO\nAroql8torBCRqAqTSCQLCwtMdCcnJzmdXF9fQ+IulUrRaDQajd65c8dutzcajUQiIRaLqbvm\npeGuaTQaWq1Wo9FIpdKff/6ZVslWq8UEj2nq9PR0PB7nWYvtkid3r9cD4YJyQrnlt99+63A4\n+AN1Oh1KXgRBePnyZTab/eKLL1qtFmND/rLlcvnq6qrRaMzMzFDRYjKZbuq9Z2Zmnjx5Qh17\nOBzGzkhTWiaTAU84Ojp6dHSUTqfn5+clEkmpVKLla21tzeVy4Rf8f/m6XaDfuSsQCNBHNTg4\niD/0+vpaLBZz7zFAwxnNxJ/KeoPBcHp6Sk01ayJ7apvNRo8RcA+NRpPP5wFlhEKh58+f44km\nyVYqlVwuF4o2pH84OygV8NStViv7u+3tbZJjvV7v7t27gUAgEAiMjIw8fvy41+s5HI5er3d9\nfe10Ovf29kZHR5nss1r5fL7vvvvOZDItLS3RsU3g+MMPP4RQSufT4OCgwWD44YcfMBfabDYe\nTqA18eT98ssvxAuZKI6OjtJi1Wg0BEFwOp3VavXRo0c//fQT1QRYUAYHB9vtdiKRcLlcjFs7\nnQ4cuPHxcdCAeI3/+I//uFKp0DbNPHB9fb3b7ep0Oq/X++TJE7QCsNpqtVoQhHa7PTc3Vy6X\nd3Z2wuEwLDqcyAweBUFIpVL0LbC8gvWYmpoiKiKRSBgJAk4ZGhpC0Wq328PDw1Re8fZ6vd7N\nzc1IJELv4tDQ0N7eXiKRMJvNNpvtzZs3hIkAszx79ozQ6enpaa/Xg41HBxWxo+vr619++YW5\nNGy8o6Mj9BD24+hmBCOp5sGkoVar6/U6iRski/n5+UgkEolEZmZm9vb2otHob3/72xvfEeZR\nCt0psB8cHJyenmaYjGhOffvbvBXfget2gX7nrr/+67/udDo6nY4ZS7fbpbAOUdVqte7s7BAA\nQwwF7tPpdLxer9/vf//99xuNBmkuhjCrq6tktQ0Gw+XlJYlni8UCbg2zKhwfbvJEIsHQL5PJ\nwDLu9/tkKyj+wNNKU/XQ0BA0TpwYdCbNzc1tbm7qdDq4cR6PJ5fLnZycGAwGuVwOVGhiYkIi\nkTBuol2UilhSJLFY7NGjR3a7fX9/XyKRSKVSKE6BQEAQhPn5eQR6Qm5UJiJPE6gRi8XYAZn4\nQfH3+XylUqnZbIKxRz85Pz9HE8d1R40pHnNBEAA2ud1uuCU0Q15cXGQyGZvNJpFIKGNUqVRz\nc3OxWGxvb69YLLLmvnz5cnp6enl5+fr6mrPF0dHR6uoqAClgRjabTRAEFCFBEICQcICgiCQc\nDrNeM78F1c9WWq/X412ZnZ29AaImEgmZTIbUg409nU73er1wOLy4uBgKhVZXV2GN6nQ6Zq0j\nIyODg4NWq7XVaj18+FAQhLGxMblcfn19De+br6FVizZYm832/PnziYkJjUZD75pMJmPjj12P\ng51cLp+ZmTk8PLy+viasbzKZarVaNBpFlP/Vr36Vz+eRsPv9/tOnT6empv78z/8cR7xMJrtN\nEt4u0O/cdX5+vre3d3BwgLDYarWmpqaOj4+r1WosFut0OuVyGSkzkUjI5XIIxR999BGBXYZR\nbrebe7LZbF5cXGAhAGZUq9UuLi56vZ5EIllaWgINcXZ2JpPJcIAplcpOp/M3f/M3fPOJiQn+\nf7FY5E7O5/PHx8c+n+/Ro0eok9R82Gy2WCzGfGx8fBwDBirkq1evbDYbi2+73TYYDDeV25y1\nWamnp6dHRkZguWERoWOlXC6z9WO5IWjucDhkMlkoFAJJGgwG8S3Mzc0FAgE6tPr9viAIyWTS\nbDbH43GbzWa32/v9/tnZGYs+E7zR0VEcu/1+f3d3N5/POxwOwBGUwuC9Y8sJuQ3oK4ZlLIlA\nmSHhpVIpjupsKkOhEIkMfij91tVqFTeLy+UC/w9dWiQStdtt9vggTdhRIuXDANBoNGNjYwcH\nB9VqNZvN1mo1PDzdbpfaKqvVik7SaDSIaIPDRyjTarVIW7FYbG5uDqQJsfhqtXp+ft5qtSYm\nJk5PT2Uy2cTExPHxsU6no0IFBAoJFCKOarW60+lgwwAVgIuxXC7v7e2RyxeLxRScc/jgFNVo\nNNhK47FBxc7lcq1WC7LdwsLC270Z3/p1u0C/c9fr16//+Z//ORKJjI2N+f3+6+trAI+tVkur\n1e7t7ZnNZjTf9fX18/PziYkJq9V6cXExMjJyfX0dDAapZ+YgeXV1lclkuEmwZ9y7d490GbI1\n4CTMHuyp4TVvbm5icI7H44ODg+yAWK3EYjETS5hKer2ebfjBwQFy7cDAQDAYRFRR/N9LEASV\nSqVQKDweD2M09trZbBZFRaFQkF65uLiA+UAi4/T0FJR7NBrF6C0IwqNHjwYHB+PxeDweZ/Gl\n4vaLL74A9y4IwtTU1MHBQbvdpmca2wkORbo8lErl5eUl6yZpF7wZbrf74uICRx0gQH75UCik\n1+tLpVIwGCwWi48ePULejUajIyMjWq2W2EW73Var1SjUhUIhHo/L5XLYfsFg0GAw4GgEHTc8\nPIzFze12HxwcpFIpr9f7+vVrjOQikWh9fT0cDkul0mw2G4/HiT7SeXaDf7JYLPgstVotANWr\nq6vZ2Vkw/xgBUcncbncikWBo8fTpU3wdJAPz+TzkvGazaTKZ+FfEi2Qy2enp6dLSEsMDfh/A\nhHCxyUlubGxsb29TPjkzM/Pdd9+trKzI5XLMoJ9++mkkErHZbFdXV/V6Hd90Pp/f2trisZrJ\nZJaXl/1+P3H/brd720l4u0C/c9ff/M3fvHjxwufzdTqdra0tpOdEItHpdBwOB54qvV6fTqdf\nvHiRTqetVuvr168tFgs8fpTrYrGoVqvPzs7cbjdeOiaHgiCwe6IO4/Dw8OzsLBqNApOjLBz9\nsdPpJJNJQBxGoxHPWbPZhBB/eHhYr9dnZmYAwIfD4cPDw/Hx8Xg8znASkDEddMPDwxjUKpVK\nOp0eHh7W6/V4ZilmhbbDpvLq6oqmu+XlZYPBMDw8TM0H8TOj0RgMBicmJjgWJBKJnZ0dNmul\nUslutzO5evjwYalUojPQarWyyM7Pz4PyYS+P6YKhZbFYpFK6Xq9/++23aNk6nQ5xhl5H2E9+\nv//OnTvFYtHj8dxUXkF3E4vFvV4vEAhYLBaIS1tbWyTiBEHI5/PJZJKCV5oKaOcaGBg4PT3l\nGUw3GAcjivv8fj/mP/Lxer3+8ePHrPXM99Rq9fPnz3l4s6lnDIiVTS6X47ugxITEOaiTQqGw\nvLwcCoUwKdLrCpALRLUgCGdnZ/z31dUVqfd+v9/v929qi7vdLgUxh4eH6FQwNxqNRqFQcDqd\nlPCenZ15vd5cLlepVN68ebO8vJzJZJDL0D3AErTb7XA47PF4MNtYLJZbH/TtAv3OXT///HOl\nUgFPUygUYFFyVLfb7Z1Op16vBwKBWCw2Pj6u0+nI4O7v7wcCgW63y2YT7s/CwgIJju3tbYvF\nwmq4tbXFxgewHCUg/Kxms5lKpSQSSSwWwzarVCrZ36nV6uPjY5PJZDKZzs7OFhYWwEpAqoSD\nk8lkmPYQej4/P/+jP/ojqgNAzWk0GjRrVE4Oy4FAwOv11ut1i8WCs41YDd2GsVisVqsFg8GB\ngYG5uTm5XP78+fNarba2tra7uzsxMVGpVHZ3d2dnZ6+urjweDzv0XC5nNpsdDkc4HCbQTFcs\n9dWHh4cOh0Oj0ZyenrLiYDcktcygb3BwMJlM4kawWq1jY2PESa6vr0OhkNVqxTne6XSur69Z\n8tRq9T/8wz8sLi5KpdJ2u02YJZFITExMJJNJknKZTEav14vFYiwlGo0GPgk1UfRhY46cnJxU\nKBTQ6SqVyv7+fqPROD4+vnfvXjabpZSSX4lljr8jxjWlUvnxxx+jFRSLRSI58Xj87t27KMuw\nVvx+v9PpBKhCZHF3d1cqlcrl8pv+w1wup1Ao0LIFQeDlQxCUSqVut1uv1zPk9Pv9q6urFoul\nWCxizby6uuKja7fbAZLkcrmlpaVEIkFzSrvdpigSB4tCoYC9JRaLNRrN9PT00tLS270Z3/p1\nu0C/c9fvf/97AgJDQ0N0mlCKTGy3UCjI5XKlUtloNMLhMM4EEsBer5epHVQwjUaztbVFaexn\nn31Gl5VMJkN51Ol0GKidTuf5+Tn+LTRB7h9u2nK5THEJ/DyRSLSzs+Pz+aLRqCAInU7H7/fb\n7fbf//73w8PDuPSgeaAbhEKhVCrVbrclEkkkEgFKR1Ep4RSolfv7+06nM51O53K5qampiYmJ\nVCqFUUwsFsfjcbFYDAINFiV4JgxhT58+RcNhWsXCQcVfMBi82dC1222LxcJCSbgjEomgThiN\nxlwu9+jRIx5so6OjqVQqn89j6ZNIJPl83m63I2vw9opEIkReNo/I9PDYut0uIUaVSgVqDgG6\nVqshEKlUqmq1ChtaqVRGo1GlUmmxWHq9HrXluGh4/9vttl6vbzQaHo/HarWm02lGajTgYPVD\nL2JCgDFxZGTk5OQEA4/T6eT5RxZma2tLEIRisUgNCmJxoVB4/fq1XC6nI7xWq2k0GrKg/X6f\noaLBYDg/P6flViwWj42NIVAEg8FUKnX//n1mGzhG4JV7PB4KailqEQRBJBLhxy8Wi7zebrc7\nNTUFS5qxMz0G19fX4+Pjt0GV2wX6nbt+/PHHb7/9Vq1WM4BKJBKcFtnZ3UQY8vn81NRUIBBA\nc8TJAOwC8v2NO9hqtf7P//k/Hz16dH19DVAU2bHf779+/ZrUg8Ph2N7ehi4EgjmfzxP3MJlM\nDx48ODw8RBUdGBiw2+2hUMhoNJZKJafTeXR0hDcDlhPtGDjzJicna7UaAId8Pu90Ov1+P3tV\nZHFgzaglTKLoXVxcXKR1Bf9ZJBLJZDI+n6/ZbKbTaTQEfCzsuDUaDTghlFboGUtLS+Vymd92\nZWWFQmtyOhCWfT6fQqG4uLj4/PPPJRKJw+FwOBwqlWpnZ4cOb4lE8uTJE3qv+Va1Wg1LBgui\n3W6HGeJwOGq1mlarpU8WFWJ/f39lZQWKP8kam80Wj8ddLhcCN+y6aDTKYSUQCECV6nQ6NEmW\ny+Wjo6P19fV2u310dMRM9ebdMxqNGMa1Wm0sFmObLAgCmcxwODwzM8PTEXge7hGZTLa8vCyT\nyQ4PD2HXkURntgEF+/z8nFaXXq8nCEIgEBCLxfD5Pvnkk0QiYbfbd3Z2PB6PVqtlj1wulxlj\nMHkG+d/v97PZLCBZVm2TybS3t7ewsDAyMjI1NfXs2bNYLBYKhZaWlpLJJOW2q6urzWbz3r17\nHo/nbd6K78B1u0C/c9ff/u3f4jFgLRgeHhaLxdSjcPCUSqVw7lOplCAIGo1GLpfD06Elutfr\nXV1dhUKhG0SyUqlcWFj44YcfyL9wvg6HwwsLCzabTa1WcwLNZDLU4u3v75tMplartb29PTc3\nFw6HOaV6vd5qtVoul8ViMWv69fU1NDXAEVKpVKVS4dUDsMAjodFosOMzm82sO19++WW32y0U\nCicnJ+jUpVJJp9NdX187HI6ff/4ZTlssFvvd734HPpgqJpbmr776Cm0aV4NWq2XRZOwWDAZn\nZ2dLpRKzQcDEdOxi18NF0O12X758uby8/P777z9+/DgWi71+/brX6x0cHLx+/dpms52enlar\n1fX1dQBP2EXMZvObN2/++I//uFQqnZycDAwMkDAslUqnp6dGo7FcLvf7fQQKvMy1Wu3g4ICJ\nHLY5EPvI9CqV6uuvv3a5XCaTif4q2ENOp1MQBL1ev7W1xRb4yZMnDodDoVAAOyRcrlAoXr58\nub6+TndMpVJZW1ujQozSMpvNVqvV7t+/n0qlTCaTw+E4OTnBPGc0GnGkwNUSBMHn811dXcEp\nFYvFPDBAeI+OjsZisXg8jo/zwYMHtVotFAo9ePAAin+xWFQqlQyEJRKJQqEgMso2H4Aif75c\nLieTyfhgEwHNZDJGo1Gv109NTfEyNRrN7Ozs270Z3/p1u0C/c9fm5ib7HUEQFAoFIWZSs0xU\nJBJJIpG4f//+xcWFyWTCPAvRPxqNgklSq9Ver1cikSSTSSpXnjx5EovFSqWSQqGYnZ2t1+ur\nq6vUo2D8QPt7+PDh5eXl+++/H4lECCBkMhl+ATaSCAg2m21nZwd8RyKRIHhGDQfQovX1dZpM\nkVlxEUQikXw+Pzw8/OjRo4ODAwDTSqVyaWkpEomQHReLxbFYbGlp6cmTJ6FQiNkUQvbExATV\n2v1+3+v1qtXqhYUFMh2CIPC7gXYzGo2NRoNCJplMhq1FLBZDmiYMqVKp8vm8TCabmpoql8s/\n//wz/oRWqzU2NqZWq7EDZjIZpVI5NjZGaypJcYyPZO1Ygl+8eAGKj2qrRqOBnAJwCiTe9fU1\nYU7UJ8zmCMFgr8lq93o90uS///3vFQrFwcGBy+W6uroqFotra2vJZBI/Mo8EvHcEwbPZLLyq\n7e3te/fuhUIhKN7lcplUvUQioVsSuh7TBUDS8/Pz4+PjJycnRGyQyCjYxRGEbZzFNJVKTU1N\nbW1tEWQ/OjrCj09rGuFVBHcexnQT0w/Z6/UgPuMWb7fbMzMzNpttdXX117/+daPRePnyJX2J\n09PTtzvo2wX6nbv+/u///vnz54lEghsbfUMikVAZFw6HETGgWORyuUKhQC8c2cKhoSFCHA6H\nA1cAui38THbT1C0/f/7c6XSura0NDQ198803jUYDxwh8UZFIhNork8kGBgbYZwUCAYZIuPoS\niYTVau31epj2IB/t7+9TEWs0GjEkOByO7777rlKp0Nms1WrfvHlzs1l2Op24nhlLspvu9XqU\nYG1ubjLDPDw8pLWaXbNEItnY2JBIJIFAAOUd965er4chJRaL6epmdBkIBJB0HQ6HIAikB3EQ\nKhQKtVq9t7fHtE2v109PT+/v7wPMdDqdy8vL6XSagSrmEAaSsVgMmwSiLbQ2cCjX19f4OgYH\nB71eL5jTDz/88PT0lMUulUrRfru8vAzvKZfLsd9HoikWi6Ojo9vb2x6Ph/w0HnaNRiMIgsFg\ngFh9cnKCGmYymVAYkDJINjHvbTQafAZwvyUSCafTmUwmg8Egg1DS+dhvzGazWCw+OTlZX18H\nRgiDpVKpADAxGAzYmfkE8ixkU0+oFQrK1dXVw4cP4/E4FuzV1VXmvbhW+G6lUunu3buIMJ9/\n/vl/+2//bXNzUywWEyM0m823C/TtAv3OXUdHR69fvybZLJfLnU7n9vY2tUb1ep2qJCqXqL9i\nk0t44eZYSkmKIAgDAwNwJE5PT9l902Mkl8vn5uaIOezt7blcLmx2nU4nGAxarVaz2YwPOhqN\nAqsMhUJms5kKDwy/UqmUSFgsFpuZmZFKpRSLgFqmh7Tb7Xo8nidPnrRaLfwnwOBpHrh79+6L\nFy8Ip6AO39ghzGZzp9Mh82Y0GhEoIPs8evTo8vISmSKZTA4MDED2qVarSqXS4XDkcrm7d+9S\njg7kemNjA6/xixcvpqenX79+vbq6OjAwkE6ndTod8Q1oFcVi0ev1bm1t0TuVTCa/+OKLq6ur\noaEh2g7xwDgcDnoPIpFINBrF6kfss9lsOhyOfr/P3pPacpxzOAVRsdlfdzodqVR6dHR0o70A\nU2aES+fI9va2z+ejYxfDIj7ok5OThYWFhYUFEE4ajYZwIBDUk5MTt9uNNNTv93muC4IAvtnj\n8dxUOqTTaZ/P53K5PB4PHx5woNSDLS0tHR0d9fv9SCSCIU8ikRwdHWEZIknE4en8/Hx2dpaR\nLI5yhqVv3rwhR8PcAgoHP4hPCzOPk5OTv/iLv3jw4AHbCKfTydP0/+XrdoF+565vvvnmxx9/\nXF1dJUx8cXExODgoCAKANLlcTi8GWCLMAG63Ox6PMzNkG1upVCAId7vdy8tLmUyGY4+NVSaT\nQS4sFotkCCORyN27d+l1pRyaqkCEVO4uXFMulwsPHCKARCIpFAp0tdAhPTMzg1DOP1QoFKlU\nSi6XwyAOBoNTU1PEXjgCg5WoVqt6vT4Wiy0uLr569cpoNFIuzsItl8vfvHlDbASmBHoFx3Z+\nHwRZ6mvlcvnQ0BDWZuJ55PEgoAqCcH19DdoY9nwoFLJYLEqlEkUFF91XX31VKBRMJhM8bnLe\nNptNqVRubGxsbW0x9/viiy9isZjNZnM4HGq1enBwkJpUkUhkMBjK5TKuc5fLRXpeLBazMrK1\nr1arDodDIpGAopZIJG63m+Zs/OPkWbrdLk9Ej8cjlUoTiQQOcZfL9fr168XFxWq1WqvVzGaz\n1+ul7YGNPPZzmUz29OnTO3fuYHw+Ojra3NxkMIAicXl5OT09zc6dzKROp8NWkUwm+TP99NNP\nk5OTLpdLEIQ/+qM/slgsuVyO6kK32x0IBHw+H7KVWq0G7UIwcnV1dXR0FA8f4CQ8IYeHh7j0\nBEEANfXee+/Bn4nH41ar9XYHfbtAv3PXkydPut3uxcXFyclJp9Mxm82PHj2CgI7KSd8rDl9O\n1oih0Wh0fHw8EonAGyqVSvPz84T0lEolpKRoNKrX60dGRsbHx8kBz83NUTU7MjJyfn6+trbG\nfYsbjPM7TRkajYZdbTQadTqdmPl0Op1cLqd+UBCEhw8fErUwGAxEGZkOmUymH3744fnz51ar\ntVKp4DAB5LayshIKheRyeblcRtxIJpMejwdIsc1mOz8/J8hQLBblcjkseeItH374YTgcZujU\narU8Hk8kEhkfHxcEweFwNJtNs9m8s7PDr4FNcGZmJp1OLywsXF1dsfoXCgVKA6LRKGdwDGTh\ncPizzz5Tq9U3NYMgI6rVKqPFarWKBI82EovFFAoFjGlW6kqlcn5+rtPp8CP2er1SqRQKhT74\n4APOJUzGcD0ScMdVabPZjo+PCdDHYrEvv/ySUw7ZQgL0h4eH9+/fh6Ecj8djsdj7778fCARo\nLvd4PNS+bG1tIRwzQAZ0h1DOA3hkZCSTycCfEgTBZrNVKhWElEqlEo/HmeXSkAuUvNPpnJ+f\nn5+fK5VKesuq1WqhUOCfBINBkuLMPCYmJg4ODogptlqtb775Zmlp6fj4mE7YUql0eXkJA4DZ\nwPX1NTZ2QRBuh4S3C/Q7d3377bexWOzi4sLn80HpPD8/j0ajuVyOdCzLNIM7TpQymYy7OplM\nLiwsFIvFSqUCvGaBDii4AAAgAElEQVR6epqiEO72paUlvgngBVYiSgBoGoW5A5I4Ho9Xq1X8\nZFDuut2uXq//1a9+RaKEUzz543g8jv2rVqvh9kskEiTK2E46nc7Dw0Or1UoWEbwOTVronvV6\nvVwu49QWiUSBQKDRaCAr93q9mZkZs9kMDI99Lrc9866PP/643W4/e/ZscHCQ7m2tVmswGOhU\nJPs3OTlZKBT29vbm5+ebzSZzQvSiQqEA0I4FkRclFot58MD0wIFeKpXGx8fX1tYODg6y2axK\npUokEvfu3dvd3aUalcnt69evV1ZWLi8v4SNTEz41NUXUHowRagnZGSQIlUoFOgoyBnl6uqam\npqYuLi6YMRwdHRmNRkCgdrudnnWpVGo0GrPZLD/rzZs3BAhLpRIQq8nJye3t7VarBR1lYmIi\nHA5PTk5eXl46nc5gMDg2Nra4uJjJZNDEaOHCcP3pp5/SkJnNZovFItylkZGRRqPh9XoFQWBh\nJWhzA02FwohmxWSVTEoikZicnNRqtY8ePfr666/n5+eNRqNOp5PJZAT3y+VyKBRaXFy83UHf\nLtDv3PXjjz/+f//f/+d0OhcWFjio0kmKnwzCA8xijGVgxgYGBs7OzlQq1cXFBfvfSqVCuSeL\nUaVSIfcRi8Wi0SjjPjIX8Xi8UCjAe6RoijuTmlSr1To3N3dyckIQUa1Wq1Sqk5MTq9VaLpeL\nxSKpa0EQFhcX4/F4Mpm02+0YcuHEazSaVCr129/+dn9/nzC6Xq+HM4cDxGaz0UUwNzenVqtL\npVK1WiXVAlpobGwsFosdHx9fX1/DrGCGptVqHQ5HsVh88uQJdDdECVZAqlrn5+f9fn88Hkec\nZVX1+/0ajQaPICUDIpHo4OCg1+s9fvx4fX2dqLTRaKQCShAEq9V6cHAArqRSqdy9e5fm8l6v\nF4vFGEg2m03AVcfHx8fHxyKRaHl5mRNMsVgEoo97Ehbz2NiYWCweHR1Np9OscfzcdrtNvIXg\n6N7eHpq13++3Wq3vvfceVNJGo8FCL5PJ6BfHtnx1deV0Om+0EZJ+TDh9Ph+ZxpGREaZ5DoeD\nwtZqtVoqlThYIC5T9C4Wi7E8n5+f86bh8sRTNDg4GAwGFQoFbxdgWEIxCPEej2d/f99oNO7u\n7vp8vna7DT2Rj/EHH3xgNpstFgtPJkEQotHo1dWVyWQaHR2dmJh4m7fiO3DdLtDv3PXVV1+F\nw2GLxRKNRoPBIOw65ksSiUStVqfTaaiYarWadiLqrsvlMuDgRqPBMAo3Ls3N/X5/YmICfAR5\nXIq02WuPjo4SFMax12g0fvzxx6mpKawF8XgcowjOuW63i+JptVpTqVSlUpmYmFAoFMgF4CZW\nVlYwugmCABuz3+/L5XJMKRaLBezy4eEhUy9BEBYWFiKRCO0h5+fn1EGJRCI2a9i2aA9wOp3s\nc1Uq1f7+PgtTr9eDbOl0OkdHR3kCMa0ikby1tRUOh10uF1FyTGZDQ0MsuBaLBfw0TrulpSXM\nMCaTqVQqTU9Ph0KhXq9nt9t5upRKpWKxODExMTs7e9PYywBwcHBwcXExlUrxc0kbYhfBc4IZ\nfGRkhHfv8vJSEASfz/fjjz8mk0nS8Dggd3d3XS4XyTqcFWazmaevWCzGWwm0RKvVIjKIxeLp\n6WlBEDKZDLXc4+PjBE1LpdLZ2VmxWAyHw+AMQTVls9mVlZWrq6tms+lyud5///1ffvmFbgdC\njzftwHSi7+/vs6ZfXl6Oj4/jKId3CBX65OSEUerh4aFIJOJxQpYyn8/3er3R0dFer+fxeIaG\nhvx+f6FQkMlkODXL5fLKyorf779//77dbn+r9+Lbv24X6Hfuoi6kWCzm83mdTsfqzC5MEIRM\nJiORSCqVilKppO6PCBwFcfV6vdvtghWtVqskqoFJ3rlz55dffmk0GkRUvF4vWeehoSGAErim\n2u12KpWyWCzLy8s3VSkej6dUKrHXY1QFHYltDg0aVNUVCoUbURIcmkajwcV1cXFhMBig/PR6\nvePj44GBgZWVFfTH+/fvv3z5slqtTk1NMTwcHR2VSqUU3VqtVsLElCsCoKBpRSQSoaXibMOR\nfXFx8Zvf/IaX1u12g8EgZV14xtVqNdUB/X7fbDa73W6kZGQclUoF5ZJ+FuqaqNwdGBjgXMLk\nDaP01dWVTCYLh8MqlWpgYGBra4vZJtRs/HMmkwmPGrBmmllY44BEs4jfuXPH7XZvbm5qNJpA\nIACI6uzsDPTdxsYGXYuEkpglKpXKv/3bv4UGxSdHq9USv/Z6vU6ns1argQMEV22xWCqVyuTk\nZCAQmJ+fF4vFL168uHv3rt/vF4vFxWLR5/Plcjk+UdhCOABBr65Wq2gvKpUKA7ggCFtbW7hB\nDg4OyLvShRiJROBz4YW32WywatkcMMno9/szMzNkL+12+7Nnz7BIi0Qij8dDVOf/5et2gX7n\nLnbQdBrZbLbDw8O5uTlIxPF4/P3332enTKL6o48+wtkmCMLa2hrlqp1Oh6OuSqWanp7GOAxh\nA0hYOp1Op9Pvv//+6ekp6WSDwQD3w+Px7OzsIFLj7oBJBr65VqsFAgGOomAWDg4O+Er8akql\n8vz8fHBwkNUfo9Xdu3fr9Xq9Xs/lcmyyxsbGqIk6PDwcHR29vLwcGBjw+XwLCwuBQID20na7\nDTYTfD768n/5L/8F/AjfB9rG7OwsrHp06mw2q9PparVao9FgDBUIBPDDEPXWarX4ixnNpVKp\ni4sLXBPff//93Nyc3+/PZrOYf7G+FItF9oADAwMANIaHh91uN6u8x+OBFqRWqxcXF7vd7p07\nd/b29ohKDwwMQEO2Wq0TExO1Wq3dbiuVSvKEd+7cefXqlcfjwXLOCFQmkwWDwdHRUUJGBFLq\n9frnn38ODlQQBM4QZL6Z3dVqtQ8++IA9OEE+oHG1Wo1H2sTEBPYMDOzE6L/88ktKdWl4cLvd\nr1+/RsumOxx9bGFhAfLt+fm5QqHI5XLwEYlxAmCC00+9FmKIUqn0eDzJZBIHC1zWUqmk1+td\nLtedO3cymczp6Smg87Ozs48++gi+EgWbtxr07QL9zl0vX778u7/7O+6xg4MDjUbDZLxUKv36\n17/udruQKK6vr4eHhxkuDQwMGI3GTqczPz/PDQOoAdkRiluj0WA/wl0EWB3WXbPZ5K7GobW6\nunp6ejozM+P3+6HVKBSKVqs1OTl5cHBA6zMlIOiP7HCtVitFqP1+H4cfh1+WM8qb+SZ2u/3l\ny5eE8ThlF4tF8nvJZBJjGQ2HtVrN6XSazeZoNLq+vo4F2+v1Dg0NYdPudDrstrB5JRKJgYEB\ntvbE1S4vL+VyucFgoL5PpVI1Gg30aDR9DDNutzufz6fTaUCgw8PDRqORigBBECg02d/fx/dW\nq9XYhJJpRCdhxAe9aG5u7uXLl4wfVSoVD1TerlKphNMxm82aTKbl5eVgMEhLgMVi2d3djUaj\ndrsdzzi45+Hh4ampKYzD2NKxVeRyOZfLlU6nCTSxeoZCoUQiUa/XZ2dn9/b2BgcHoUfh1K7V\nauPj4/V6XaFQRCKRqakpt9v96tWrf/Wv/tXjx4/X1tbevHlTq9UEQaD9fXh4+P79+69evUqn\n0zabDcmbniqv13t8fMybLwgCNed8FGOxmEqlqtVqJpPJYDC8evWK6hnsoSBSY7HY/Pw8jCSk\ntkQigWDlcDgCgcDg4OD8/LzFYnlr9+G7cd0u0O/c9c033/j9fqPRKAgCZ1i73c6577PPPkOt\nY5/V6XSo8mQYuLGx0Wg09vb2ms0m2x/Kq+LxuNPpnJiYOPr/2XuP5kqv6/r7uTnniJtzwr3I\noQE0m2ySTVGiREkuq+Sg0oCu8sz+Ep76C9gDD+yJbLlkSxZtNbvZCQ2AyPnmnHPO8T9Y9fbo\nnTeqiDPQRGwANzz7nLP3Wr91e7u+vn51dSWVSkGhBFwfca7gBw0GA9jtDg4OPB4PfCJw68bj\ncdhzGQyGXq+vVqtQ4MFMfH19bbVa0eQdjUYYH0HBdnx8zGAwcPmFRMHr9Xa7XQz0SCRSNBqF\nF1kqlQICBZ80mUzGsd3v9zcaDZVKhUN3oVDw+XyoNZhkxuNxJIJDBy0SiTC+gzYRVFLEXCFh\nDyNQRMNAh+B2u5G7iFjeUqlEEESv11tbW5NIJKenpyqVCheXyWTidDrdbvfFxQWFQhEIBGQy\n2W63V6tVBDU9f/5crVbDhQGdDGa82DJ3d3dxWu/3+2/evEEfeW5uDtVTqVQiGUer1cZisdXV\nVTabncvlSCQSjEWlUgmD0/n5edxvbDZbJBJBqkutVsPxE2fearWKiSvuGSKRKJvNQnIHNjS6\nMfv7+1DK9/v9RqOxvb2NvapUKu3v70No//r1azD1u90uQDGIVUMzfTgcQt0B0B3ChaHXxIaE\nEwNOCVKpFKldGo0G809Q9yCzQ2tlZWUFOs73+zC+93VfoO/cwsEnHo9vbW2B06hWqxcWFsxm\ncyAQQCM1k8nAggVbVzAY9Hg8pVLp4cOH/X6/2Wwik8Lj8bx9+/aDDz4YDAaj0Qi2Do1G83d/\n93f/+7//i7FbJBJxuVyHh4dQYiG98Pz8HNK0crmMUjWbzVZWVvDcjkYjUClsNhtM3pPJRKlU\nIt8ahE9EZoBTDA0yQRAmk+nt27dAa/r9fgyU2Gz2dDoVi8WBQAA/vNVqsVgsWJZhPr66utrZ\n2UFkIrQEi4uLmUwGaa35fH48Hns8nt///vdOpxPaaujwZrMZXNF2ux3hWJ1Oh0Qi0Wi0+fn5\nyWRisVgmk0m32w0Gg0g4hGQFfpBMJkMQxIcffnh5ecnhcA4ODqxWK9JtkN+aTqfRC8asDy0C\nnU53c3OTTCZheEE6CZlMLhQKVCoVhE+CIOLxeK/Xm06nbDYbjXiFQoE6jr9ZoVBgfEqhUG5v\nb6F+EwgECoUCEbSQYcAcBDx/qVQC1frdhLBcLgPcHIlELi4uAF2x2+2DwQBfAIIg8GPR+geR\nA2V3aWkJCnSFQgGh4dLSEkTKyWRSpVI9e/asXC4Xi8VsNqvRaPAb8XFbLJZer4eh7mw2k0gk\nGI0OBgO/3z8ej5vNJiIxQVnCVQPxm7DpczgcqKG/z+u+QN+55ff7I5HID3/4w7OzM4VCgc4g\naMhICwQUFDpoMCtAWKfRaL/85S+9Xu/KyorZbH7w4EE2m+33++hakslkvV4Pj4Zer3/z5k2v\n15ufnzcYDIeHhxjrwTeBERawbeATLSwstNttuMmBK4vH47jGDgaDubk5EokEzg7I62tra/l8\nHmfY6XTaarWQ7W2xWHBOF4lEwDQjzpVGoyFeGiAhjJ4ApAe2Yn5+vlwuh0IhKKzh1EBzRigU\nXlxclEolND1R4slkcqVSMZlMFArF4XAANp9IJNhs9srKCvK8QdoLhUJ0Ot1gMOAlt9vt2WwG\n5CnuAQqF4g9/+AOarWtra6FQyGQyoZWPwFPovo+OjjY3N5vNJlJjYF1BvHqtVqtWqzc3N2q1\nWqFQBINBmPhTqRSNRnv06BGaxehiJxIJiLIZDAZA/qC/AnFFIpFASoFXMx6Po3TS6fRGo6FQ\nKCQSiUAgSCaTJBKp3W6LxWJE5YI9sr6+jrkrUs+TyeT19TX0dqBxwadut9vRabm+vo7FYnw+\nHyFe0BGdnZ2JRCIajYZbHWJzZTIZWj0gUyPSBartarWKqMnz83NcdwiCmEwmGxsbiIkAGgkC\nDyaTqVarYTS1Wq2Ydnyf132BvnPr6Ojo2bNnaPYNh8Pj4+PBYNBqtWAt0ev1jUYD3UObzYYp\nHIVCwfDnt7/97eHhYSQSQQSGVCpdWVkBJjSbzS4sLBQKhfPz86+//loul2OIByQmBvRMJhNc\nTTzViJ4TCARKpRKtAJxx0DRAndVoNOfn5yAd4+QlFosTiYROp1tYWIDZDHwJJHSgWkFHOJ1O\nK5UKNMiTyQRtlmq1arfbMarCyQ71azAY9Ho9iUQCnBMwUnQ6/fLyUiqVSiQSEon04MEDv98P\nRwleFNhvfr+fRCJ5PJ5AIIDjv1qtLpfLEokEHQMoGgGOAImtUCjgAv7JJ5/E43GU9V6vp1ar\nEQ1OEASyTfFPyGQyqNCtVgvCEnDaQPiUSCRWqxWYOuSiwjq0srLSbrcrlQqSU0BWMZvNarUa\nbWVc8xGEiF72O/tfNpuF2gceFhqN9vXXX/P5fHCxO50OJCu9Xi+XyyGRHcNSj8eTzWbdbncq\nlVpcXGw0Gufn5/DQozcSjUbtdjuHw/nwww/n5uaA28YPVCqVHA4HefNIZsDfSRAEh8M5PDz8\n6KOPTk9PzWZzsVi0Wq3n5+eYK3q9XkwFeDweh8MB2gXzDMxXDAYDbg/n5+disbhcLr9zwXyf\n132BvnPL7/cXi8VCoQDdMSAPcAD3ej1IMmDOPjs70+l0uMWTyWQOh9PpdH7961/jyk8QBNKg\ng8HgJ598QhDE2dkZiHGQP8PTjHg9qK1pNBosZLicqlQqnU4HJjKJREJpg8chk8nodLput+v3\n+3FedjgcyKVFMh6dTj84OIDfWiAQ0Gg0NM2xwaDXjMRVHLLcbjd0JmgEDwYDg8GgUCj29vaQ\nEiAWi/l8PofDOT8/DwaDwPqAvFMoFMxmM0hPV1dXmB+CkorzPmAX0WhUqVRCMtjr9XC2rVQq\ncLshbwXhJtVqdX5+Hu3mUCikUqmQe7u3t4ebO14gnO5oGSN9ptPpIJ0PxnSwfthsNsAgXq+X\ny+Uiiw/ahmKxOJvNWCwWjUYLh8M7Ozv47eBdZLNZGMEBnMIlCdUfTsV+v/+uOler1bW1NUTE\nSqXSXC7ndrv7/T72GzgArVYrsFPYLxuNBu4iOp1OLpeXSiWNRgPSyMHBAVSD+Ib0ej20j/1+\nf6/Xg08KGkcgScfjMaaL+E6id4QOGHBdjUYDqhWr1Uomk9++fbuysgIuucFgkEqlxWKRRCJB\nWwm8uFqtVqlU7/FJvAvrvkDfufXq1aubmxsA0QF4g7UMdMpUKoU5G4VCcblck8kEkKDt7e3d\n3V2YR8rlMk5wbDYbs5rhcNhqtSCGheaUIAjomcBQ12g0iUSi0+nQ6fRsNvvRRx/VajWZTJbN\nZi0Wy+XlJU5PDocDaR0IakF+NpvNBgqDIAgM3zDcE4lENpsNj7HRaPzXf/1XpHOx2exut2u3\n29lsdrPZfPz4cbPZhIgCLUjwSFHQORxOv9+fn58Hr8Pr9dpsNsiWcZROpVIYo9HpdARII70Q\no8JutwvjHIITK5UKApxevnzpdDoR6YJMXtAnELEIqwh8krPZDBJvMpkMezSTyTw4OECD6Orq\nCjB72NPFYjHedolEYjKZkA6FNnG324WO4l02GIfDWV1d/bd/+zcYIFHReDweUk4UCsXi4iJu\nQhQKpV6vY5QHSBbY+VwuF+1d8JjAMEGUOzQw8/Pz9Xp9bm5OKpWC5nxxcQHdRa/Xk8vliItk\nsVjHx8eYzXI4HIw0arUabirY7eA5wlY9GAyQN5ZKpaxWKzi06KePRiMEPsDqDbCtQqEIBAK4\nduRyOew3sVgMh318yfV6PUKHQVxBG/pexXFfoO/curi4ODk5WVxc7Pf7sGMJBAKcWXATBFco\nkUgwGAzceYvFImDtHA4nHA5Dc6ZSqYAcms1mkOiq1Wo0+0KhkMvlkkqlZrP5008/BaQY1gb4\nyqhUKlzgZDL56upqa2sL03m/3w9fYqPRmM1mdrsdEmzYQ8Cd8Pv9AoEAvx2pH81m89WrV59/\n/jnyPuBXvrm5sdls1WoVAUhIa9XpdOVyGfEfzWYTiGoc+hgMBuLJ4/H4cDiEbR3ZUQaDAbZA\nlUqFvsc76imDwQiFQtFotFqtjkYjtVqNvJXFxUWXyxUKhbrd7vr6ukwmQ2sbLz+dTkP4XCqV\nDAbDH//4R4fDAcUC4CTvKhS6NEBuajQaoAENBgN201AoFIvFgAOlUCh434BpBmI0k8n89Kc/\nNRqNsDteXl5mMpmFhYX9/X2CIEgkUjqd7vf7kK9AxzIej3u9nsViKRaL0Fz2+/10Or23t2cw\nGHDq7/V6KpUKn6lYLBaJRKiziUQC4kKJRJLNZq+urgQCAZPJDAQCMpkM+WHAxpZKJbfbnUgk\nSCRSpVKx2WwUCgVdezabbbVaDw8P0f2IRqOZTEYoFGKDZLFY8XgcGS7ocqhUKjKZTBCE2WyW\nyWR+vx9gUrlcjg8XsegSiSSRSMxmMxidBoOBUCi8x43eF+g7txKJRL1eTyQSmBeBlI/nh8/n\nwzUAD1sgEGAymVqtlsPhBAIB2Kyvr69B/AEymCAImP0CgQCPx4P+dGFh4enTp8Ph0Gw2w7IM\nArJCoVCpVBQKRaFQIAoAMzfkgNTr9Vwu9+DBg0AgYDAYOp2OyWQqFouQYSANFsjpZDJZr9fP\nz8+hgHa73cjySCQS6G82Gg2v15vP54HFALAfoX9nZ2cIkGWxWOPxWKvV4nxqMpl+97vfLS4u\nSiQSgiDa7TYOgGq1GmGGIDygFw+4Wq1WA5RHoVCsrq5CsZBOp8PhsM1m6/V6fD7farXCqxKJ\nRDQaTa1WEwqFUqk0n893u12NRoPEbqQKwBYPRXOn00HyN/L3IBTLZrNms/n169dHR0ccDgc8\nIy6XSyKRJBJJu93GDUOr1RYKBUjomEzmzc0NOhtoLofDYbFYDDMI+FNyubxarYLLHIvF0DiG\nU+b4+JhGo11fX+/s7EBzAhkPshHeZTnCcdpsNjGvCwQClUrFaDTiL9/e3gZ7D18VOAPRE8fO\nhH0I1wiz2RyNRhHRLRKJms0mWh/Y25rNJipypVLpdrtolEej0bW1tUwm43a7aTQargutVgti\ncMS+QIkPqi1BEAh2uD9B3xfoO7e++eYb9OMoFAoOJjqdbn5+XqvVgt4AbSkYYGtra/haU6nU\ntbW16+trNGRHo9Ht7S3qLJlMPj4+Blosn88fHBwIBIJUKrW8vAw0T7VaffXqFcSt6XR6cXFR\no9EgYBDdlV6vp9frMe+iUqnYMAiCiEQiAPwjBAAOjkQiAdSOy+UymUy9Xg8oHEyr1tfXoQ/r\n9/sWiwU99FKphDEmmA/NZpPH4yWTSfwi3Ohvbm7m5+cFAkE0GgXvH7xjeCa73W4mk9nZ2YHp\nRq1W2+122OfK5TKZTMbNGgFRNpstHo+r1epIJNLv90OhUCqV8ng8Nzc3Go0mHA5DabC5uenz\n+TweD5lMBhsErRKfzwdqK36RXC5Xq9VarbbVaiGHDKQOlMVcLrewsFCr1abT6dzcHJxBPB4P\n4blILYDBGv0QkIZwJ0CYC8QemUzmHfJUKBTWarVAIDAej5eWlrrdrs1mG41GmLPhmBwIBJBE\nw2azwd+A2/Do6AgpBARBbGxsoIcDKhOFQnG73VwuFxQqnU6HYIeNjY3f/OY3Op0OrTC/34/7\nHCTwkIFil2UymQKBIJ1Og09rNBqTyeT8/DyZTMbXqdVqofUvEoneeQ7lcjmTyRwMBk6ns1Ao\nYMc1m814W97rs/j+132BvnPr4uLizZs3aO3hHHRycrKysoJ7H1whOA1xOBwKhWKxWAaDAXD+\nUG5gosXn81Uqld1ux+XU4XDIZDKRSOR0OoH1AcC+UCigNOCsVCwWQXOmUqkcDkcul8diMafT\n+eLFi08++QRUJuRAm0ymN2/ebG9vI9wvn88bDAYul4uAbWSVkslkTPwA8YDSo1Kp+P1+h8NR\nq9XQ9caYy+12X19fLywsdDqdcrkMjR1O3zi32u324XAYj8edTmcul8Pm8S5dF68FAq9yuYxG\nCuaT6KKy2WwoCAFmo1Ao0WgUzP5er1csFn/4wx+iRrPZ7HQ6jcpYLpd9Pp9Go8Ek9l3EDI1G\nW1xcROgJcPvz8/MHBwf9fh8wIMxyIWuBBaNer4fDYQghsHnUarX19XWc90Hohm9eo9F88MEH\nGo0G0beNRqNarS4vL9NoNIvFgkhcRHAhThuY1larVSqVnE4nOFPY8xAsqVAokGcmFovh3AM5\nj81mg2M3GAxUKtXR0ZHFYkEvhUwmA+QPUwxsqDBkZrNZvDo2mz2ZTBKJRDweX1pagjzR4XAA\nDAA3aafT+eKLL+D1h7cFMEWLxYIMoHA4DIg23mHEuyDZHcmc3+d1X6Dv3Do8PESsybtg1kwm\nUygUYrEYRljgzuzt7eFeDO2q1+s9OztDXcaMC9I3PDmoQVKpFExnkUj08ccf5/N59F6hl8hm\nsxwOZ2dnB3dVmAADgcDHH38MxAeQbARBGAwGENEsFksikYDvWavV0mi0b775xmq1IgIRgXgE\nQcA17vF4oMiG1goZg1Kp1GQyAd0Hpww0JAwGA/LYm5sbGM+QtQiCB5fLDQQC8JuUy2WpVAr1\nG5VK/cEPfpDP56fTqUQiyeVyS0tLfr//HdkHtu9qtapWqzudjlqt3trawqQLkd6QRojF4nQ6\n/eTJk2q1CkgFlUo1mUzffPONWCzGwblYLGL74XK53377LVhI3W7X6XRCNYz9Y2NjIxQKlcvl\nQqFQLpfn5+fPzs6MRmO32zWbzRQKJRaLIW0SOmI6ne50Ov/6r/+61+ttbW1dXFxYrVbcJ5LJ\nZC6XUygUcNWnUqnNzc1MJoMNFXhVcP4mk8nZ2RlwFv1+P5lMIvAbwZXgbiP0D0ZHFosFibpW\nq4Vso9FoAGaLao4MTMBjAauan5/HjxoOh9h6YUwnCIJCoeRyOYIgEGSFoABMtkG+BoURZCtc\nVhgMRrVaBWBLIpFIpVJcCu+dhPcF+s6tYDD44sULgI2A1+ByucjZHI1GiURCKBRCjMFisS4u\nLlBTaDQaAlgbjcYvfvEL/F96vR4YI6FQ+JOf/ATyL5ysP/roI4zgarVaJpPJ5/NIM9nb24P+\nCcGD0D9tbW2hI4yh5e7uLmb0JBKJTqdrtdpyuaxUKpPJ5Pr6erVahUgZCHxg21DLYEeMRqN6\nvZ7D4UDiBqI8HniIC8G3RNvk9vYWoggKhaJWqxOJxHA4zOfza2trV1dXcKKj1Q6n9d7eHoaB\nXq9XqVSGQjmNGKYAACAASURBVKH5+flCoYB2DYJTNRqNRqPp9XqQ4oI+jBxFqAk7nY7L5Uql\nUu122+l0xuNxwAL5fD40DNgwUAFHo5FSqfT5fAjTCwaD7XYbyhkmkxkMBj/44AMY7ahUKj5T\naGAAuADAD8plo9EoFAodDgd2OyQzTCYT5BI0m82f//znmA8nEomdnZ3hcAh3CZAds9ksmUwu\nLy+fn587HA6QvgeDgVQqHY1GLpcrk8lA8cJkMpvNJj6jer1Oo9GgeGk2m/jbptMpNPK9Xg9U\nrE6ng/8GvZpwOAxlERzbwWDQ7/d/8cUXuVyu0+lAuQhZiEKhcDqd2WwWsn0Wi3V7e4sMIBze\nGQwGhUKBWDOdTlutVnh5gHV934/je173BfrOLb/ff3FxAW49bu4KhQIXwKurKwaD8Q6tOZlM\n2Gy2VCpVKpVnZ2dWqxWTPXQwLi8vUa9NJhMIpcVikclkLi4ugg/n8/msVisgk2QymcvlolMB\n3ZjJZPrwww/H47HRaKzVaq1Wazab5XK5drttNptrtdrGxgaTyQSaA0/v69evTSYTiUQClB2K\nBR6PhzjaWCyGQxaVSsUFX61Ww+Xxs5/9jMFgtNttkUi0v7+vVqs5HM7Z2RkYFPV6/cGDB5D0\n6vV6LpcLBgibzca+xWaz9/f30cztdDp2u313d1cikfz4xz8GKlokEqlUKpzcS6WSx+PJZDKg\ngCKOa3d3l8FggBDf7XYhdIPTJBQKVatVj8eDgMdisQjSELIKS6USmUyOx+Nra2vYQRHKJ5VK\n/X7/dDpdWlrq9/s+nw/diWQyCW0f5qiYMRweHsLTDFyJTqfDET4QCHC53JOTE/z3P//5zzHD\nJJPJWq0WewCwnEKhUK/XDwaDfD4PsDWdTkeGVrfbhTcSohS4cmDLRhAtWN4EQQAdhXdAp9Md\nHh4aDAaVSoXoAAw/YJmByluv11MolFevXmFDQgQBggLQeoJ0GtuzxWKBpwnXF8Cjkd5NoVAY\nDEY0Gn348CHgMLi1zGaz+yHhfYG+c+u3v/2tz+cDbAGwx0gkgqnR3NxcpVJJpVJSqTQej0M7\nQafTj4+PIX6qVCput/vw8BDGYvT4ksmkzWYDRezq6qrf74MCEQwGG41GpVKRSqVWqxVjIgya\n1Gr1zc0NyvTx8TGI0lwuFxM/lUqFLiQ8wYjgq9frcrk8EolgGFUqlWBAf6eBlUgkiLxCp5LD\n4SBx8Ztvvvnxj3/carWSyST+FeZgOIkrlUpMFx0OB0EQ9Xr9z//8z8Vi8X/8x3+srKwEg8G/\n+qu/Ojs7Q4gtIBWwOCqVSgj1hEIhm82+vr5Gw8Rms3399deTyQSDUMDt6vW6SqX6/PPPDw4O\noJyBqjebzcIiRBDEo0eParUaJq5LS0sIBJHJZBQK5d2sEormfD6vUqngfkRzADf9bDb76NGj\nRCKBhCe73Q4/Htw0eJPH47HL5drb21MoFIlEQiAQ7O3tzWaznZ0dFouFrgLMimQyGePiaDQ6\nHo8BpMb/JRQKv/32W4Ig0J2AFMdqtcJiqlQqQe+DJwjXl4uLC7PZDC0jmUy+uLhAj6tQKPB4\nPKBClpeXo9EoNnUSiYSkeQ6HU6/X6XQ6MsbgMkfgoUgkKhQKjUaDzWZXq1WRSGQ0GrHTb21t\nFQoFBEosLCxARIjvdq/Xg9paJpMh0vf7vMjv+w+4X/frft2v+/X/v+5P0HduHRwcoGcaj8cR\nG4i4png8jnPfYDDY2dmRSqUbGxuHh4e5XA7cSIIgyuXyq1ev3G43okyg9/B6vZeXl/F4PB6P\nI5AFreRqtUqhUKxWK8ZEWq02EAi8m/wgRSkSiWxsbOBAxOPxOp3OdDqF/slgMGAWhJkPrtI8\nHs/pdJ6engoEArFYDJ+0RCJBxBSoGgg6ATMzFAp99dVXEJZFIpH9/X3ATt9pgUHVIAgCsrxf\n/epXYN3BrFytVtEpxlUabYparWYwGIRCYTab3dzcBE4EIzi8KCqVCsAITDEkEukv/uIvUqkU\nRAuwBYGw6nK5cMpms9kvX75EvzubzYZCoe3tbQgERSJRr9cDpHQwGLzzCqKtjGgSj8dTqVS2\ntrbgjUQgg9VqxYiVxWKBzooXi6Y8WiiHh4fVahXwkJcvX4pEonw+P5lMMG5FyqJGo0mlUgqF\nAuJlFosVjUZNJtN4PObxeDqdDr3+k5MTKAJHo1EsFkPMo9FonM1m+Xy+0WhgzgkCFJ/PV6vV\nKysryLEFXZZMJvP5fESp2e32brebSqXG4/F4PEYsQKFQgLEegkvkFbBYLFhJnU4nmsvj8djn\n8y0vL3M4HDabfXx8HAqFms2myWSCMgThAARB3BtV7gv0nVvZbBZjNAqFotfrVSpVvV7f2tqy\n2WyI5uNwOIuLi7AFn56eQpYACx96IFDComl7dXUFwhyPxzMYDPl8XiKRTCaTfr8PD3Gr1apW\nqxKJBP7szc1NlUp1eXmJ+uJ2u//v//4PqdtGo5EgCGDXwW4GghKtA/SywZlERtfp6enm5mY8\nHoc6rVwuV6tVPMx8Pv/29hbxfQwGA61hoIVAgCuVSmKxmEqlTqdThUIBryMMLFwuN5lMms1m\nmHFisRiSWPHunZ6eIi4Ecjcmkwn5mt/vp1AoKpUKzFUwmoFYWlxc3N3dxetFe53P50MwA4lL\nMBgslUrQEWaz2dPTU6PRyOfzw+Hw8vIy0ltw5cfUC1DsWq0GZqZGozk9PYVVB+Yag8Gwvr7+\n+PFjKpUai8WQ6mswGGAytNvtdDodWhQMS4Ei0el0YCuPRiORSASfN9JgFxcXU6kUkND1eh0s\nDnhJ4KhWKpXYEYPBIP45WgrNZhM4ZlgTHz161Ov1ZrMZxob5fB75KdFoVCAQALdULBZrtVq7\n3R6Px0iTODs7g0FJIpGgNQTKHYVCgX/H6/Wite10Or/77jtkPzocDuDAsLMajUZkfrdarVwu\nh+B2nU73Xp/F97/uC/SdW0gORVwQ4l/FYvH//d//+f1+FEG9Xq/T6XK53MbGxvPnz1OpFEEQ\nALDBEo0cjWq1+vz5c7hLvF6v3W6HCpXFYhEEgeCoi4sLKAT6/T6KYzweTyQSPB4vm82y2Wyl\nUoljUT6fv7m50Wq1g8Gg0WhMp9O1tbVGozEYDCgUCp/PR7rHbDarVCrr6+uVSuWDDz7o9/sQ\ncmGzgY8Zk0x4xzFVo9PpsVgMVCBAITY2NgQCgVQqnU6nkCj4fL7V1VWAGsRicTAYhJAAh1C9\nXo9dgclk8ng8iEaKxSKfzwdC2uFwwAkJ9ZhGowGNulQqGY1GVHMej9doNJC4CI1Er9fb2Nj4\n7rvvJpPJ8vLy7e3tbDZ79OgR7jeAr0Kcjpoym80IguByuSKRCJ9CLBZ7+PDhwsICn89PpVI2\nm+3g4EClUlksFj6fD0UExGQSiQRROLPZTCgUYvwAUbbL5cL5ulgs1ut1ROQIBAJUXvgbh8Oh\n1+tFpKFUKo1EIkwmkyAI9Hmvr68JgiCTyTBSo/Xc6/VcLhek2RjKtVqtYDCIPPVKpYIX0u/3\ngfJQKBTVanVra6tSqfT7fQ6Hk8lkkH6pUqlwDcL1CBeyTCaDcDX8GXK5PJ/PO53O6XSKOW2/\n38cNA3hoyC7hY3rx4oXNZrsPjb0v0Hdu7e3t5fP5fD4P94FYLC4UCgaDQa1WIwYUMVcWiyUQ\nCLx58+bq6grGhO3tbcDhAKlYWVlJJpNPnjzh8XjAeLpcrhcvXoAnCcY0BFW7u7uIwKBSqZlM\nBjIGcNNRuEG6qNfr4/H40aNHeHgajUY0GgVDA9dwhB5pNJp0Oo2KHAgEUAVyuVw+n7dardFo\nlMFgoEYzmUw6nQ6bNYZCDocDOw0CONhs9mAwyGaz4/FYKpX6fD4GgxEMBjUaDVRow+HQ6XSW\nSqXT09O//Mu/TKfTBEGQyWQ0AVwuV6fTEQqFKpVqOBwmk8mtra12u83lcrFzoCUCTbdMJvP5\nfDKZLB6PLy8vv379utVqMZnMq6urhYWF2WyWSqVAKIUp0e12F4vF+fn5SCSi1+vRRUHiDIw2\n4EE/fvz4yy+/5HK5KysrarXa7/fPz8+Hw2GPx8NkMqF4Q3gV3gF4WJDNCmkEohERbdXtdrVa\nrdPpbDabRqPxxYsX5XLZ7Xbv7e2h6GOkCV5KpVJRqVTIF8ZFBKnw3W4X9RHBwc1mc3FxEVmu\nCIMXCoXtdhsacy6Xi4DXYrEYiUSePHkCMTiop3AAzWaz6XSq1+sjkUg8Hoff5OrqSqvVNptN\ns9lcKpUAfiKTydFoFC0UPp+v1WpLpRLc3hQKBU7XWCx2eXlpt9v5fP79Cfq+QN+59ebNG/CG\nbDYbQBbZbBag0Xa7jdhTyBIQapVKpUQiETwCyK4H+QGpJfCLT6dTNK9BdIQvcTgc4m67tLRk\nt9tRf81mM4vFghoXmi0SiYT+Y6vVWl5eRqgreo7QDBAE0Wg0YNKlUqkSiQS95rdv34Jrili8\nWq2GrgLg+hsbG9FoVCKRQIrgcrlarRaqBpVKTSaT4/G40WhotdrT09NMJmM2m8HFxuWg3W77\nfD7QdpAGAmucWCxeWFi4vb2F0JhEIs1mM7h7IK/O5XLA6bFYLD6fz+VyDw8PW60WlUqFORsZ\nV9CcIdC2Xq+jHMPYlkqlwIczGAxXV1dLS0uwdyP+CvYZdNJlMtnm5qZQKPR6vZFIBAdY7LXT\n6fTi4uKTTz6B3pwgCKQfdLtdVHkYKVUqFRCvAJIkk8larba/v9/r9fBLwfKXyWR7e3vD4TCT\nyYTDYSAM1Wq1SCRC0C3YKWhJDQaDp0+f7uzsFItF2FChGiIIgsPhDAYDr9dLpVJXVlYuLy9h\nK2+321DmdTodiUSSTqfB/AuFQghNd7lcSO1BjLdarQZaBCMQqVTKZrOxDQAytba21m630Zgy\nm818Pj+TycxmM0QBgPbHYDDMZvN7fBLvwrov0HduvX79Gvd0giAoFAqTyYRTAOke/X4fZygw\nFqBjOz8/n81mAAonEglIvnBHBgkB13CCIAA/k8lkNBoND+329nYqlapWq48fP0ZRg94LT0ul\nUmGxWCKRiM1mA28Gkdzc3ByLxYIiG5Eldrv97OxMLBbHYrHRaBQMBj/88EPYOuLxOGwdg8Eg\nmUxCnIt6hIhx4I0sFkuhUMDJazweAxp1dHSEhmYqlQKJYn19PZPJqFSqwWDwzh0OIe3a2tpk\nMoG+G/Y8k8kEm89gMACdlUqlqlQqnN1EIhFARUCYXl9fQ7V9c3PDZrO5XG4sFnvw4AFyb99Z\nqxEZhcBvZPJ2Op1arQYmarfbpVAosJBwOJyPP/5YKBRWKhUKhSKRSJLJpF6vhytybm4uk8mU\nSqXpdAruM3ruEIODIot/iIrf7/eDwSAAoSKRCF1jNOJ3d3eFQiGHwzEaje8MJkB/oCPs8/mM\nRiPApHK53GazYd7L4XDK5fLi4iL6IbBco6Ody+V4PB6TyYSeEg4pHo9Xr9er1erc3BzgSoi8\nwnUBdxrUVrlcXqlUQqHQZDLBxA8hW5hnQFen1WqBcGm326FQCKEtEomkUqlYLBa1Wg3ky/d5\n3RfoO7dOT099Ph9ah3w+HxIFFM3hcLi2tsZgMBKJBGD8uVzu4OAAyoq5ublms4kTYqVSabVa\ncDwTBIGDJNKghULhzc2NyWSCjPfZs2doZYbD4dFodHR0BAg9MqWoVOrq6uq7m+ybN2+oVCr4\n6yKRCCC9dDqNAupyuXZ3dzc3N9lsNlQNx8fHFosFoRsgnCF8wGg0YkII+S3QED6fD3lXw+Ew\nEAjg4uxyuWBkX15eRuNCKBTiIe90OpPJBH3Sp0+fIs9pf3/faDSmUqlUKnVxcQFoPVQQcFRS\nKJRerwctealUwhYCVzqMzpPJBLaUTqeDOtJoNJCUiOSafr8/mUywb5HJZEQXGgwGiUQSDAYR\nhjuZTD799FOpVOr1enu9Xj6fh8rY4/HAkA2sHS4QsGvqdDqv19tsNtG2hhEfCL3RaFSpVHK5\n3Obm5mg0kkqlwWAQh1NE6iwtLcED6fP5MJ1DbCCJRML2I5VKweUAqgndm9FoBBBzs9k8OTlx\nOBxw2dBoNMQavEsBz+fz4HiEQqG5uTmtVouLwu9+97u5uTkY5ZGMhb65w+EYjUZo6yNM4Ac/\n+AGaMOh6AZb9+eef+3y+d1PQpaUlOp3ucDgAJIAe/30/ju953RfoO7eQZmIwGJLJJCg26XQa\nEg50IRKJBJ/Px8XwH//xH5VKpdVqRVzTdDpF2ilCoyeTCXCa4P74/X4UffDys9lsPp8vl8sU\nCiWRSDCZzP/6r/8Cw0gmkwFDAbZvr9fD+H5rayuXyzEYDITy1Wq1bDYrFAoxHMvn86jdQOxv\nb2+jqlKp1MlkkkqlEJukUCigLROJRDjFY/iGoJZYLNZoNJxOJ5PJ5PP5m5ubl5eX3W63Uqlw\nOByRSITGSD6fn81mNpsNGazNZjObzer1+qOjIzRSQHu4vb1dWFggCILH42HoV6vVrFYrMhiB\nE4FOxuVyQSYYiUQkEolOpysWi2BmqtXqTCbzwQcfWCwW+N+CwSBQHnw+H3sMGsRCodBkMq2v\nrzudTqDoIRQbDodwMMI9j1AV2AXH4zGSwHDL4XK5yArQ6/WpVAptmaOjo8vLy7/5m7/5yU9+\nYjKZ/vSnPxUKhXA4rNPpUMFNJhMghchgxVcFjlBMILLZ7NzcXKFQmEwmcOsg4oRCoSDpFUQt\nhMyCMPUOLQ06x9LSEhB98Xicx+NhXGk0GkulUjwef/z4cSgUSiaTS0tLYrEYIby45RSLRYfD\nAVppoVAwmUx6vR6bFvgw6EF1Op3z8/N+v392dgbzC5VKtVgs7/lpfN/rvkDfufX06VOw1YVC\nodlshkErk8nUajXQKZH9TBDEzc3N6elpOp1GHBSwDNVqVaFQGAyGRqMhl8vb7TbkdzQaTSgU\nrq2tBQIBDocD4k8qlXI4HBqNxuPx0Gg0sEaBswHgZmVlpVwuR6PR2WwGesZsNjMajYhW2t/f\nR4orlUpFSotIJLJarcimIpPJyWQSXVGQrN1ut8FguLm5mU6nnU4nHA5rtVr0c1QqVbPZBC8Y\nbAo+n8/j8XAhGI1GGo0Gootut4t0lR//+Mc2m+3q6goyXkAh4EdHycNUCpW00WgAMA/NAEpz\nsViEIbDT6cRiMYykkBpze3sLZZvH44HALhaLoYZeXl5yuVxQ2XAqx7l7a2tLq9X+6le/EggE\ngUBgdXUVWboKhQJy43a7HY/HkcvV7/fROUEFv7i4gAsRHQwymQw1dC6XQw8X9nGDwRAIBF6/\nfo0GOovFQurj5eWlSqXq9/to/gJRzefz8RKeP38OKgga+nK5fDqd3tzcuFwuiUTS7XaRhAtP\nKYgl7XYb7YhMJjOdTnFeRjgO4oPRwDk9PcVIEwxFvV6v1+uvr687nY5YLEb9PT09hQoonU4b\nDIZwOLyysgJaE41Gg2dyNBqhIU6j0cRica1WAznrPtX7vkDfuZVIJPb39yuVCoPBwBwMSd7o\nGEIyLJPJarXa7u4uUPoIxANeQygUlkolYDA5HM7JyYlMJkun03a7HQl7JBIJZH2AeHg83tu3\nbzudTiaTYbFY//AP/7Czs4OsjdPTU7FYnMvlkH23t7e3vr5uNBqhvEbmCPS/yWRyMpnk83kq\nlZrNZovFIqTHABLx+Xx0XSaTCaQFer0eN30qlZpOp/l8/sHBAfhwxWJRrVYDQ4HU1E6nk0wm\nQfhDJxfKwkAgQKVSuVyu0WgEPbVWq9lsNqPRmMvljEYj5mOj0QjdcxwPyWSy3W7ncrlUKhWK\nDpQDaA17vV40GiWRSB999JHH43E4HC9evJBKpUDsDwaD169fI0a93W5vbm7mcjmtVgumIGTI\nBEGAoFSpVKrVKgw1yWQS46/9/f12u43B4Gg08vv9nU6HzWaDRWcwGOAGqlQqSICUyWRQrGOE\nAP/95eUl+NTBYHBlZQWMkUKhAPKUWq3GMBByjlarBUbobDYDmg7SZg6HM5lMAoEALNej0Sib\nzSoUikKhgKkg1JOgpuh0OkTWjsfjfr9Pp9Mxq0DKF7pGOJ5Ho9FSqfTo0aN8Pg/5I7Z2bJBS\nqdTtdv/iF7/QarVKpRKiRmy9k8kEf3kqlQKsg0Qi3RtV7gv0nVvZbBb4AozyMpnMcDj0eDwS\niQR8URjYLi8vT09PCYJotVoY/Q0GA5PJdHNzA8h6v99nsVh6vT4ej+MB0+v1OFjNZrPV1dVa\nrYa0pAcPHlCpVMDsPR7P7u7u8fExQRAulwvtV5fLFQwGJRKJXq9HQYHKQigUAsEBFANIRoPB\nAO0XpVK5u7vLZrM3NjYIgkilUrjXIzUKckDi/zMirq6uDodDjJsQ94dixGazkVgK7sdwOJyf\nn5+bm0N3eHt7+5//+Z9tNtvi4uLl5SXSCcrlMpDK0O1SKJRvv/12dXUVDCmcYd/xJRqNxvz8\nfLFYbDabs9kMpbndbmez2UQiUa1Wv/vuOwSrI/221WqhYf3FF1/4fD6xWFytVkE6RlcEgFB0\n0tHHT6VSs9lsNpv5fD7EdbPZbJyIwddOJBLwfeTz+VKpdHx8DDsPeg6xWAy3n4ODAwgWWSwW\nwgZxBYHnkCAI4DX4fP5gMLDZbOj5IIidIAi0jJAavLy8DBkGQgzUajWZTEbDF6wVgiA4HE6p\nVFKpVGg9A/ONLZDNZpvN5kql0m63QXYGxYVKpSITtt/vZ7PZtbU1r9dLJpOhzCEIot/vQ+EX\nCASq1SpBEOC6NBoNl8uF3n0ul4NiejQaAcDyfV73BfrOrdvb27OzM6RKEwThcDhUKhWcbwwG\nQ61Wx+NxSCxub2+RbA0sOlqNkJ1Op1OpVJpIJILBIKDAmUxmMBgAFlyv130+Xzgcvrm5wT0d\nTmucwdHmBspdJpP1ej2xWJzJZGASOzs7Gw6H0OGKxWKJRAL6fr/fn81mnU4H9hMoLuDxjcVi\n8GI0m81SqaRWq0ulEs6eAP00m83hcIhkKbS/ETCIn39xcQHIssFgKJVKQPOgiqEtPhqN0Dgu\nFApCoRCqCXDXisUifMMCgeDhw4dwT0DBDecOKJ1zc3MIaWy1Wuj8YsIJJh+bze73+9iZWq0W\nhNWAYdbrdfhT2Gw2XimySHDmRd0E9Gp+fh5UbuSvgwWKHU6r1Uokkm+//bbT6TQaDcSzwg30\nLlEsn8+vr6+nUqnDw0Mqlbq4uFir1UC1DofD+OgRVwguYCQSEYvFoGbDxp1KpdD1IpFI4Kzy\n+fx0Oo10Feg9gKAjCEKn011eXtLp9KurKw6HY7PZABE0Go2vXr1aXV2Nx+PY4LHfA/kEhmKl\nUkEsTjabRcbKyclJuVyGWMXpdKKZo9PpcBGE3iYUCkFRjv07kUhsbW3d86DvC/SdWzc3N9DA\nkUiki4sLUNkQlmw2m8fjcSaTEYvFZ2dneMhVKtXNzU2lUqHRaKVSCRaAUqmUyWSQ8geiMUq5\n1+vFiZVGo93c3CgUCplMBmVxqVRKJBK/+MUvwuGwRqNBLKzZbD48PIRDxOPxhEIhyDAWFxeT\nyeQ7jXMymdRqtYBeCoVC2LgXFxdJJBKXy93e3kZAeCKREIlE8Xi81Wq53W4Oh4OMcKS3pNNp\ni8Xy8uVLlFq0YsRiscViyeVyV1dXCoVCLBaDdAEFBZKuPv30U5RUKLvPz88XFxdbrRZ0YHt7\ne5B/eL1emLALhcJwOCSTycPhUKVSRSKRfD4vFoshVSYIAnR/wDb39/dFIlGxWFxbWysWi91u\nlyAIGPnQwcddHiZABJPjPAjPCNSENzc3yEtlMpmYweZyudvb22AweHR0hESoRqMRCAQwo5PL\n5ZgE4HcRBCEQCOLxuFKpxBAYadnxeJzP5yeTSYIgsEmgn/tu88CBHQGs2EFxcsdcDk4oqJVB\naDEajd9++y3kQMgVs9vtfr8fkAAqlXp5efnxxx+fnp5icksQRKlUwuivXq97vV6DwQAEHTzu\nTCZTKBSSSCTkCG9sbJhMplKp9NOf/hQpsdgUkSUGhKFare73+06nczQamUym9/gk3oV1X6Dv\n3EqlUtD/X19fO51O3Hy5XC6FQonH4+PxuNVqEQSBAV273QauV6vVYgCIksflciORyNraGrS6\nHA4HGg+4SIC/+PTTTwOBAExri4uLBEHo9fr9/X20a/l8PmzfBEE4HI5UKrW9vU0mk2Ox2Nra\n2sHBgUwm4/P5ZDK5UCg8fPgQhyCr1XpwcLC6ujqZTMLhMGIGBQLB0dERn8/P5XJkMtntdvv9\nfnAwQKEERToUCg2Hw0ePHoFmqdPpgHpwu93olkqlUoRuDAYDxGbzeDw2mw0sPVBB//3f//3V\nV189f/68VqvNzc2Vy2WTycRkMmUyGcI7Li8vRSLRwsJCqVSCmJfFYiG1Fhh+eC4AGj07O4PN\nGr1v3AlwCq7X606nE+4VJpOpUqkajUYkEsFxe2VlhclkNhoNOOWgcjMYDKlUKhKJwLaDgZha\nrebxeBB9w9syNzcnl8s5HA48QcisKhaL+Li/++47LpdbKBQEAgGdTo/H49ibYf9D0/nBgwc3\nNzcEQZDJ5HA4jHYWQRDD4RBvO51OD4fDzWZzMBiw2Wwej4epALpVGo3m8vLSbDYj2wzqe4Ig\nxGIxUn663e7c3BxeL4Da7Xa73W7bbDar1QofP7hR7/psoVDo8ePHT548gbN8dXUVXqFcLocv\n5Gw2w4aBOed4PDaZTPdDwvsCfefW7u7u0dERl8uFrcBoNELqNJlMdDodjBtv3rx5J5yyWCy4\nJAaDwdlshkqkUqlUKhXEs+D9M5lMQJGADaPT6eCr4ZClVCoHgwFgzWASyWQyJpO5tLRUKBQQ\nCsXhcFCmwUuC38Hn83311VdoegLxTKFQbDZbqVR6/PgxgqzgOQQ/XqvVstnsBw8eCAQCGPzk\ncnmn02EwGOPxGKbn0WgEYSzsjrFYzOVywWcxnU6h/2u1Wu+CVILBYK/XW1hYGI/HDofj+PgY\n2DmoCujiLAAAIABJREFUEbxe78rKyvPnz8Vi8cOHDxOJRKfTGY/HAGgIhUKxWJzNZvl8fqfT\n6fV64XAYxHrIQiqVytXVlU6ngx4OMr5Go/Hll19CwjwajU5OTobDIaBx7XabxWJBb47JG4z4\nLBYLQojJZHJ9fY0WTSQSqVQqhUJBr9eD5gxQ3J/+9Cd8pjhOcjgcRGsjskuhUICEN5lMZDIZ\n6MmI9YJ0EslkaMuA5XRzc2M0GplMJmaAg8EAWBW73X5xcWEymeDzlMlkarUaGZU7OzuvX7+G\nnrJSqbhcrmKxCDMqjvZ0Ot3j8QAPAK92vV7vdrvIJIS2Eui7vb29Bw8eLC8vEwTB5XLlcvnx\n8THYMpBvTyaT29tbrVZLp9NTqRR2l7W1NaFQ+F6fxfe/7gv0nVvRaNTv9/v9fogKkOWsVquB\nZoeKNp/PY0YHxEGz2fR6vTBxoIpBT5ZKpXZ2dkQiEYPBQCy3QqFQqVTA0SE4FdEh0+kUjeNn\nz54hqxR0hZOTExiOeTzeaDSCigOuQsSyMJlMHHZyuRwkeuVyGU+d2Wz+4osvCoUC8gnRCh8O\nh4PBwO/3S6XSUCgkkUhQcDFg1Ov1wWBQqVTm8/lqtYq2DJPJTKfTAoEA4DeCIIxGI0BIEokk\nm80iNhukN4IgMKXkcrm5XO7m5sZqtVIoFDabjfqLUFoY5GQyGRJGoGADawIxAtFo1OPxNJtN\nsVj8rioJhULg1h4/fnx1ddXr9dCzdrvdqVRKo9HABzgajRqNRrvdxoHx5cuXAJXE43HEg8Fo\ng90Uu1ShUEAsFpvNhgSYyWTCWgk/EZ/Ph+gNpp6XL1+ikyuTybC3wdg5nU6NRiOGxnQ6fTKZ\noCUyNzeHoR8YJnAAAsDCYrEgmkROWDKZjEajbDY7Ho/j9woEAqPR2G634UiUy+XlcjkcDqOt\nhFEesm/sdrtAIICynsVieb1etVrN5XJNJhOZTP7pT3+KCTaLxYrFYkwmE/Yo2ErdbrfT6YxE\nIuPxmMlkout9D+y/L9B3bp2fn+/u7oJEjPJUKBQQ4/3RRx9tbW11Op3NzU1Q3GKxGA6VLBYL\nt2z0r2u1GtJIMWn85S9/eX5+ns1mTSYTlUqFlYDNZttstr29PUAvHz58eH197fF4wJ/rdDrQ\nmcF7YjKZQFRQKBToAkOpXa1WNzY2PvzwQ2RlgeYTi8XodLrRaPzjH/+IozqCaGk0mlwuh7eb\nTqeD3YxoUXQ/cKAGrAO0M3RIKBQKiURaXV09OTmBkR2VHQrcdrvN4/FOTk4Awr68vFQoFCQS\nCQw2OMvB6+BwOFQqFQo2JBwGg0Emk7mxsQFCG8K6kHROp9MXFxfL5XIul4MQDbpjhARubGzk\n83mBQKDT6RCSIpPJ1tfX//CHP3g8HqBL2u02poWQpkCRwmazo9Go2+02mUx4K+DYxHQU2mHk\nMV5dXW1vb3M4nKOjI7PZfHl5CWooahyPx7u9vYUTHWKScDj82WefQWcCAQb2XfSspVIpOvjA\n1OEwnk6n36GjgsGgzWbT6XTwXg8GAyaTiQsBtHqvX7+2WCxIRkeoMb5vIMqy2ezZbIYPhUql\nArSEyxaZTMax2uFwsFgsVGGIZxgMBlTz4/EYzffV1VVIEhEq/74fx/e87gv0nVt7e3u9Xu/5\n8+eg2g+HQxaL9etf/9putz958kSpVE4mk9/85jfxeHxubk6n06XT6V6v99lnn+Xz+X6/b7PZ\n3jEeESU3Ho+R3be9vZ3L5UqlUrVaXVtbw+mJyWRqNBpEiCqVSrQgO50OLuPlcnl3dxdI+PPz\ncyjDMpmMXC7HyR18CSi6arUajuQIkAbxMhwOt9ttpGHBS9ZoNJaXl+v1+uXlJQZE6+vrIDOE\nQiEEjSN/Gt1JWMPRXmAymdBsYUoGTRj+44uLC2ic3W73wcFBt9tFxR+NRjAiWiwWn88H5hzI\nSs1mU6fTzWazk5MTMpmMuoDCNJ1Of/SjH0F5hiMkFGYnJyc7OzsQpSGCD4QgvV6PdwZQFCjG\nNBqNTqf76quvNjY2RCIRhr2QhUBd12g04CrE7jU/P69UKtFWlsvlfr8f2hvYPnHshRwwFouF\nQqGVlZW9vb1GowFMK5fLffXqlcFgACujVquFw2GFQiEUCiGjPD4+Bgfj+vq61WoBeQgBzDvE\nKN4xm82Gc3e1Wo3FYmiX2Ww2zBKfP38Ox6ndbgdcEO8MMrmRayWTyYrF4ubmZjKZVCgUuLXI\n5XIGg/H48WMUbhaLJZPJEC6B3td0OoWtn0ajYcD4vh/H97zuC/SdW9FolCCI8XgMfMTPfvaz\nzz//fGFhATWRIIizszMqlQo/BUYu+XwecmlgHuGvA/fO4XDghGI2m09OTnCSffLkycLCwuvX\nr/P5PJ/Pf/XqlcvlQnXGearb7V5cXAArwWaz4cqDIRBZzhjWoe0wGo12dnYqlUqlUtHr9Uwm\nE2jNUCjEZrPhH4PqGbml6+vrsIajlzqbzeLx+Pz8fCqVAsoZI7hCodBqtbrdrlKpvLq6ggJh\nY2NDpVI9e/bs97//PUg6xWIRT7vZbIauGd1zJpPJ4XCq1SoqGnJUYX+nUCiwaGJCSBAEhCL9\nfn91dXU8HuO0PpvNGAxGq9VKJBLpdBrTvEqlcnR05HK5BAIBmtECgQCQOdwe0um0UqlEDHmn\n0/n7v//7w8PDer2Owre3twfp8f7+/snJycXFBV6pWq1WqVT/+Z//CRteuVyen5+HDeTs7IzB\nYLBYLLhdUIuRDg6lislkggdEIBBAOMzhcCgUSrvdfvToUSqVgvsR76fdbr++vl5eXqZQKH6/\nPxQKwYZDJpOz2SxuG4PBoF6vm0ymRCKBWUi3200mk+C6ILcboTaIfxwMBoVCwePxYNYqEAh8\nPh+Xy9VqtT6fbzqdttttg8EAPvh0OnU4HBjDWiwWo9EImgoSYQCcUSgUarWaTqfDMft9XvcF\n+s6tcDi8v78P7vPDhw//7M/+bHFxEbQaGo12cnLCZrODwSCwcEjCJggC5QDPAIPBUCgUwWBQ\nrVbjIAmqhtFozGazKIXpdPr29tbtdo9GI8x8WCxWoVBA97ZcLgMkr9FoYFLIZDI/+tGPTk5O\ndDpdu90GfS0UCiFH6tWrV9gM2u12JpM5OTl5+vQp5MBsNhsDLjAxEBDl8/m0Wu3JyQlyudDi\nYLFYarW6UCh4vV7kQgFXNBwORSIRdL6rq6sqlapWq21tbX399dc6nQ5yvTdv3uh0OkCL9vb2\nkAZCo9GMRiPYEcD8T6fTwWBAEITdbo9EIpheQtXncDiQnDs/Pw9Fh0aj+fbbb/P5/IcffhgO\nh3EmRdoIiiOZTJZIJMfHxyiOKJrwHAaDQbPZzOPxXrx4wWKxIFdATvlgMMjlcplMBrwRqEQ2\nNjYuLy8BG/riiy96vR6CFFgsFkJeYDNhs9mg8lMoFJFIBPw3zESJRKLf75vNZsj1qFRqJBJB\nvwL9dBaLZTQa0UQej8edTucdtoVEIjWbTaFQiKY8kABPnz6VSCR4Ublcbnt7G/A8rVaLvxMt\ni/F4nM1mu92uSqVCY30wGEC6F4vF0GFDLACFQnE6nTs7OxAmAYUKnGG/37+4uLDb7dFodDAY\nDAaDw8NDpVKJOfD3ed0X6Du3Xr16hbqGpHo2m41MP5FIBOYk8oeAYJ6bm8vlcrVaLZPJ6PX6\nly9fTiYTsViM273L5cKYCwka8Ag0Gg1Q2ZaWliBCQHLK6uoqJnuIwQ4EAmazGddbgiC0Wu3h\n4WGtVjObzVBBgaeeTqdBK0Wc3eHhIeZLaH2USiUGg3F+fs7hcL777js87RghohWO8PJgMAge\n9P7+PlI2AGCCig5taHhDgPeEhw0iP6RQg+ycz+e9Xm+j0djZ2ZlOp9iEUIDQ5I1EIvV6XafT\nabXaly9f/uhHP3qnkcBY7/T0NBAIwHGu0WgCgYDJZAIzD4c+BoOB91ahUJhMJszB5HI5gpro\ndPrz589tNhua5rlcDpleSqUS4QAAwJJIpP39/dlsBtoRriMEQfR6PSqVyuPxoNjBT4BqDf9L\np9ORt6DT6Xg8HovFQq8cNnFYQmq1mlarhf3S5XLR6fS5ubnhcMjhcCDTlMlkSPlCW8Pr9UIH\njb9WKBQmEolIJGIymYRCIZlMxtUnnU4jwvzq6gptdABFoS1RKpWRSASp6tiYa7UaGhoEQWxu\nbjYajY8//hjmo9evX3O5XAw8h8Mh2k0CgeDt27dIIcBRWqvV4n7zfV73BfrOra+//jqVSsEE\njKdXoVBAZ3p5eRmNRiORyG9/+1uEDfJ4vFqtxmAwYLFjs9kkEikQCEDIcXBwUCqV3G53r9eD\njwOkC6lU+tlnnwEdd3p66vF4wH/Az4nFYtBNn52dIXQK1pjJZLK6utpsNuv1eqPRcLvd8H9j\nAoZxHIPBcDgccKm9fv1aoVCEw2FEST169KjT6QyHw9vbW6gAnz9/jqrqdDoRVCgQCCQSiUaj\ngYsEo1GFQnFxcTEYDGKxGIPBSKVSyHxCeBWNRisWiyAigbPz4MGD09NTyKUJghgOh6A70Wi0\nRCKBJgwc80jDwwbQ6XTOzs4QgQqF8s3NDeKdrq+v1Wr1+fk5crNAUgaUKhKJgFHF4XBwc19e\nXv6f//kfpVI5nU7BA0KYACaEVqsVoPr5+Xm0aw8PD0FhJghiOp1SqVSNRsNisVKpVCaTmZub\n4/P5oVCIy+VCkMdgMEAOgfqi2+1Wq1VAUxUKhVKphMVcqVQymczLy0voN+h0OiiJiA1MpVLQ\na/d6va2tLQqFUi6Xy+Vyt9vFqRx+VDRqAoEAANaw0cPfVKvVWq0Wn89vNpsajcbr9TKZzMFg\nYLFYzs7O5ubmkJVls9mgzBEKhXa7XalU4tuFjwwsF/Tc2+02VNvIOoCm+57FcV+g79x6+vRp\nMpmE1bjZbPZ6vdPT01gsdnt7WygUvvnmm2w2i4yVUCiEYVS9XicIAm4IOPog72Wz2Q8fPkSa\nZ7lcttlsEomExWJtb2+/evUKV1eDweDz+TgcDgKKJpPJ0tISnB3oEhAEYTQa3759i6FftVrF\naI5KpSLUGcdJkUiUyWTm5+cRDttut2u12vn5OZVKNZlMarW62WyGw2Eulws8MZxp8/PzyO8I\nBAI4C6vV6lwu9+TJE7jVgTYF5wxSuXA4LJfLEZlIEATu+LiYx2Kxn/3sZwcHB/V6Hb1R1AhU\nq3w+LxQK5+bmMKmj0WiwFEskklAoNJvNwPlcW1sLBoMMBgNmPEQxiUSidDp9fn6OmSSEaDj2\n0ul0BGlDJYJpnlwuh/Mb8TSxWKzX6x0fH3u93rm5OY/H8+rVK1jpXC4XKH3ouvT7fQqFgvjH\n6XSKKSLcSZAGTiYTi8UyGo0wUEVThUKh1Go1CHvQgCaRSFBDo1nUarW4XC58MWjgAIb36NGj\ny8vLm5sbp9OJzB1IdOx2O94oQAWYTCYihiFzxoZdLpfH47HH4ymVSn6/3+l0IqcNHhaCIMbj\n8XA45PP5EOa7XC6v14usWyQ8VCqVbDZbq9U6nc7x8fHl5SW+Xfl8HjISt9v9Ph/FO7DuC/Sd\nW999910qldrb20OyH1wYz58/Pz09BTwe4DTEBUFFIBaLAc3A4W5zcxNnK6fTSafTb25uxuPx\nyspKOp1G05nFYqE1IZfLAYBXqVR/+tOfBAIB8JJPnz7N5/OQ1qGxyGKxcK3O5XL7+/sfffQR\n4uzS6XQ6nW42mz6f7/PPP//www/BsCeTyXt7e1KplM/nQx+GpmoikZifny+VSsA6g1sNfZ5C\noQBwjsfjvX79enFxEf2NwWCAJNNqtQo1G46cDx8+PD09ZbPZ29vbw+FwNBohtdpisaC/IRAI\nOBwO9gZoLZDDlE6nRSIRwr9RaOh0+uHh4a9//etkMgl9AuITEWVQqVSQVEAQBHopg8EALpjl\n5eXBYIC4QtRNrVbr9/thEQJeqlwul0qlTz75xGQybW9vCwQCIAlBhqJSqRiEwlQiFosBMGk0\nGjjzEgShUCh0Ol2pVIJ1KBQKtdttoDnwviG9F/2rpaUlkPghpgbHVSgUnp+fi0SiZ8+eAQBC\nEATO4JB4I7NRIpGA1TccDlOpVKvVqlQqJpPJbDbv7u7y+Xwk/2KoyOfz1Wp1NBoViUSYH+DQ\njb0BClE+n2+z2aAFNJlMfD5fLpcjavbVq1dv37799NNPAT/RarUGg0EkEhUKhW63e3x8vLCw\n4HK53u/D+N7XfYG+c+ubb745OjpCdHe5XJbL5TQard/v02g0Op2OuzMkSrhEs1gsqVSKu/na\n2ppCoYDGDsGG7+Rr9XqdwWDk83mPx/Py5UsWiyUQCLxe78LCApPJzGQyarUagQCg6iDU6vb2\nFo894Bg4IzMYjHq9DoYRFLXoOGs0mn/5l39ZX1//7LPP/v3f/x3edBKJZLPZYCrpdDqj0chg\nMPT7fcRpZzIZkUhULpftdjukza1WSyqVwsJXq9WSyWS5XAa8FK+32+0iqgPtTkzqyuUydgUm\nk9ntdjE4NZlMPB4vGo1CcgAjXLfbnc1mEokEmuher4e37ssvv3z58iXiZqbTaTKZtFqtGo3m\n6urK5XIZDAYQ6PG222y2SCQik8lub2+xASiVynQ6jdEujUbr9XrYkyCC5vP5KLVCoTCbzf7T\nP/0ThqsIMu/3+2w2ezgcymQytJURf9Pv9xcWFtDawikYuWLgtEynU4T/jkYj7BMUCkWtVo/H\nY7RKer0enU7P5/MwFqXT6X6/j+hFTB0rlQq2YShnLBYLXKnYxlgsFp1OR2TtmzdvJpMJrEwC\ngeDg4MBkMkWj0Xg8rlargTPFfDUYDOITf/r0qdVqzeVyCwsLuVzO4XCQSCQ0kdCyn5ub+9u/\n/dtAIHB1dQXTOZVKPTw8xCRAqVTOzc0tLS2956fxfa/7An3n1rNnz7777rt0Oo2JCqhvICOj\n5RqJRPDQfvHFF6VSCT5pPp+fzWZxrEZ+CpA3CwsLu7u7hUIB6tRqtXp1dfXo0SMwHpeWlorF\nIij44KghnRYqgnK5bLVav/76a4/Hw+PxpFIpuhAMBmNpaQk1hcPhrK+vVyqVpaWlm5ubTCaD\nxFgUFIzmwLVIp9OVSgWa3HA4jGGUVCoVCoXoOQJhio4BoJ1IdVpeXkbmFkEQCLru9XosFqvX\n64G1j9s91Ljz8/MQvSHjXCwWI5c6HA47HA4UZQjLfD4fi8USi8XX19cEQYALqtVqkUQFFOfF\nxcUPf/jDp0+fZjIZo9GInk+320WeCO7gmOy9y7UqFAqINCQIAjq/zc1NgiBg3Njb24tGo8i1\nAU9jOByaTCa5XB4Oh10uF5rLEokEPQ0IE3GyhqJGp9OhQ6XRaOr1Ojj90OHgAjQ/Pw8Cqlgs\nRl4twsPUavVgMMCoEBsGYNPxeNxms2HvwflXLpejOyyRSD755JPT01MgjcBjisViMDrZbLZC\noaDT6bLZLP5aNpvtdDrh9vzyyy8PDw/1ev36+no2m1Wr1UKhcGtrC8L8q6srfOhsNvvZs2eg\nTQUCAbzDCwsLhULh8ePHRqPxPT6Jd2HdF+g7t66uruD6HQwG6LeirqEJ22q10BhFDGCz2bRa\nrfl8PpvNIvZbrVYD+3BxcbG0tPTHP/5RIBCA+jgajQiCgA9lNpsBPunz+QiCQLXFbG08HqfT\naSAlcTc/Pz+/urqCZrZer5fL5Vqthss+DmJAOsCfUqvVTk5OoD42mUzlchkX9m63u7y8jD3A\n7XZj0sXj8ahUKsQemUwGISNSqVQul0OywmazYVoDpWhpaQn6DUCI/H5/u93mcDgymYzD4aAY\n4Q4OrzDOoTweD5h/zDkbjQZityAQdrvdZDIZUg3oJXg8nsVigcXj8PAQk8zRaKRUKqFvA6e7\n1WpB1lYoFM7Pz00mE4fDATcZXZc3/4+999qN9Eqvv9/KOeccWYlVTE2yGVrd6qDuVhhbso2Z\n8Qxg+NAwDN/B3IRvwYBh+8BjyzPSSK1Rt9SRmSyycrFyzjmH72DBxHcHJPDnPjBgjZpNFfnu\nd+/1rPVbP/8M57LX6xWJRLVaDaRWvV5/dHRkNBrhXQmFQjweT6lUptNpkI/wCeM1CdmkWq0i\n0JHP58fjcavV+tOf/vSb3/wGBvNKpYIRpUgkgvRcr9fr9brBYEB+ulqtEgRBJpPhax6NRmw2\nu1gsut3ura0tmUyGOD7SgAKBAFeB4XAIV344HL5z50673QYtgMlk0ul0XGhQ1QiMVDqdbjQa\njUYDfD4Oh4O/7qOPPoJ1cj6fq9XqQqEAn0wikfjw4QOIXeCVP336NBaLLS4uIkJ1q0HfbtA3\nbn3//ffZbBaQybW1NSRQEAFYXl72er0qlQpMYVRuEwSRy+WUSiX4vyBJEgRBoVBAPpLL5Waz\nGfANHBjj8bjBYCCRSC9evFCr1XQ6HV+BSqVSKBRYGqrV6tOnTz0ej0gk2tjY+PDhA87OEolE\no9HgAYZKC7NBIBC4vLy0WCygu8nlcmRYoHQj8oDYAo1GKxQK6XTaYDCAqRYIBJCvm8/nOJkS\nBNHv93u9HsgVcCksLS1hooh2GFjE/vqv//rJkyc8Hg+6h8/ny2Qy0+l0aWkpHo/j6uD3+//y\nL/8ylUqpVCqr1crj8ZDcw6dqMBjcbvdkMiEIAsoPml9wpcDFRSgULi4uFovFUqkERUWv14/H\nY5VKhbz43bt3WSzWxcXF1taWUqn0+XwcDgfUumKxuLS0xOFwZrOZ0+ns9/utVuvZs2cOhwMA\nisXFRZRdlcvl0WiEgkSNRhOPx2F0A9N1PB5ns1m8EhgMxscff8xgMEKhEELSFxcXu7u7cIzg\n0xsOh0h7g+RZLBaVSiWPx7Pb7alUymKxjMdjEK8MBkOhUMA9DMEiABSZTCaEMuzCg8EATQKT\nyQQkqWAwCOCcSqXKZDIejweIKIBKGAzGlV1yfX1dLBaDfQrlB+8eDoezsLBgs9n+6q/+KhwO\n//jjjzQaDYg7sVgM7/z/y+t2g75x6+XLlxDy5vN5JBIhk8mgQ+A3Ht4J4BfQ/CSXyxcXF7PZ\n7OXlpcvlyuVyLpcLqQfgOlut1ps3b6xWKwwVLBbLZrMdHx/DNYWEi0qlqlarv/jFL6bTqcVi\nWVlZQdoFNluEg51O52w2Q7USk8lstVqIYjebTaVSiQJpHHtTqdSrV6/sdjsGksFgEDRknPJA\nrROJRMlkEi1WcrlcIBAUCgVUmqrV6vF4XCwW0arFZDLxoGYyGbPZDO7EcDgMBAK/+93voH5k\ns9k7d+7w+XytVmu1Wjudjsfj+fDhw71790ajkVKpxAfCZrPNZvO7d+/gpRuNRru7u7FYLJ/P\nEwTx/+eyYnZHpVIRJBEKhej0o9Ppb9++hbO43W6XSqX79+/L5XImk5nL5XAw7Pf7nU7H5/Mt\nLy+n0+nFxUV4/ubzOcIg5+fnMplscXFxbW0N9r5er7e8vAwe7Gw2w2aN/rB6vQ6+KGrUxWIx\n6gpZLNZ4PH7+/DmXy33+/Dl6TPx+PzpwMf+MRqPBYFAul3s8ntlshh9ZtVpVKBTlchmpH6VS\neXBwgNbBfD5vMBiwKXO53Eajkc/nYR6fTCZUKvXi4kKpVKK0BaiNZrM5nU4TiQSKug8ODphM\n5hdffAHmyfb2drvdfvz4MWoWotEoIuDY8ZGJnc1mmHyACIioYb/fV6vVtyfo2w36xq2XL1/6\n/X6cIq+6r2AxhpsKWZX5fE6n03G1zGQy+XweAgII7lwuF6MbHPqgGGSz2Uql0ul0jo+PHQ4H\n4sV37941m800Go3L5Uaj0Xa7TSKRptMpWumy2WyhUHj37p1arWYymRQKBTEHfFkEakwm09nZ\n2fr6OmAgarU6Go1OJpNms1mpVKRS6cLCAqwa5+fn4H4MBgPsBffv3/f7/dlsdmFhoVarHR8f\nO53OfD4vEomQy9BqtXa7vVAo0Ol0jUYDdy04n59++ilk7t/+9rcajQa5YeRN8ApxuVygXaNE\nEV+n1WphdAlrB9Les9kM5rBSqRQIBFKplMFggFxgs9kIgtBqtblcDqXpR0dHEokERCq1Wh2J\nRFBAxefzA4EAumg//fTTfD4P/FAqlRIIBAcHBw8ePGAwGK1Wq91uwxYNFjZC2Hq9PhAIYB9H\nFAg9BoCHoCUWnwMweI1Gg8fj2Wy23/zmNwgWnZ6eQkc+Pj5GewCJRPrlL385GAwKhQJqDDHP\n4HK5ZDJ5Z2cHKCUejwcmLXZVyAuXl5dXNhIUzIvF4gcPHqBVq9/vv3jxQqVSPX/+PB6P83i8\nVCqFYCf6H9CZm8vlHjx44HK5isUi+EegnkItwa80aCSwXbrd7h9//FEul+NVig///+V1u0Hf\nuPXtt9/m8/lerweyJU6g8/kc7jrwLtAjRxAEjkvT6RRYGSCKKpXKzs4O4t2wzRaLRUioiN6i\na1UsFgN+lM/nGQwGXH0rKyt4Amu1GqCmAoEgFovpdLrBYIAZ2snJCYY5cE29evVqZWUll8uh\nFrZSqRwcHAB7L5FIYrGY1+uF8RYDSZVKtbOz8/nnn1er1VQqxWKxGAxGpVKJx+OLi4uAoy4t\nLUUikeFw+Dd/8zco1QbbCIgidFwBcGG323GvFwqFvV7v7OyMyWSi/MXhcKAzZTweX5FF4WSA\nnUMikQCl1Gq1ZrPZ3t4e5CAajRaNRtfX12UymdfrRcpjNpt9+eWXcMjlcjmCIHw+H9wOZDI5\nnU7jRCmVSuEzw3HbarXmcjnUi7x//x7RG4vFApAsDrkbGxv7+/vJZHJ1dRUAFjKZDK43oK8M\nBgMwbrAyUO0qFosVCoXT6azVam63m8FgHB4eAh4CJQHYWAaDsbm5mU6nrVbr27dv0R/I4/HQ\n7QIduVKpcDgcGo0G/wnI1KCAlsvlcrmsUCiq1SqJRBqNRolEAq9AlK/DiIL9Hb9jeM95PJ5Y\nLLazs6PRaEAvQYc65g1w7MAfHYvF4A8pl8ter/fOnTtg6ur1ervdfr0P47Wv2w36xq29vb3i\nAwxZAAAgAElEQVRsNgssnFAoPDs7w14MHbbX6zUaDQ6HAz8D2k6BA7bZbGdnZ61WCyZfFosF\nlxLOI5PJBFgMyv+tRCIxGo3gRBYIBPAdo7cQTYNKpRI1sigrgbMVjAUSiQRO9Hg8bjQaJBKp\nUCigyUkmk0mlUjKZjJSzSCTCGHNzcxPBa4lEsru7C6tAMplENO4K8A+LhdPprFQqyBYSBNFu\nt9GMhVC70WhE7Hg4HO7s7IhEov39fXTBgH6XSCQgJQN1fXp6ury8vL+/r1arS6WSSqWSSCSl\nUqnZbAqFwslkgtcDl8ul0WjgV0B1wVYLiQPyPbbgQCCAPQg6O7Y5vBh+//vfezweYLIbjcZ3\n330HIgouH5VKxWAwwPbA5/ODwWA+n9dqta9evXr+/LnFYpHJZJFIBLNT1JlzuVyVSnV5eSkQ\nCObzudVqxVkV1MCffvopm82+f/8+Ho9DIsD7TKFQIMG/uLj4448/TiYTlUq1urqKCBKwpQDs\noUSx0+lAVahUKihJCAaDKGsfjUYfffRRpVLRaDSQOKBoYQBLEASTyQTfGVcBgiA8Hk84HDYa\njdPpVCqVKpXKfr+PWBCPx4MbL5/PJ5NJWHFgGgGsI5FIBAIBtVpts9msVuu1PovXv2436Bu3\nXr9+XSqVcNMUiUTIrWE/gugJC63D4Xj37p1QKBwOh2trazBXIPdlMplAnyCTyZeXl2BfzOdz\nIGzIZPLS0lI6naZQKDBaEARxxbFEu8fh4SHMZNvb2+D76PV66CrFYhFHyF//+tegti8uLtJo\ntHA4PBgMgFfGKAnRRJyMsLH2ej3sy/gng8EgEAj0ej0ajfarX/3q5cuXJBIJ7leYoJGIW1hY\nwF4JmDIkVKlU6vP5gLnIZrOJRGJlZSWfz+PILxQKFQpFIpFAYaDT6QwEAlKptFKpWCwWnM01\nGg0mY8CDgJ1fr9fz+XwkEimVSvBdYPoK3HY8HodEQ6fTGQwG4oJQGyQSCQwMEHlhLqRQKEwm\nEyqzyWQCSQ4hfqPRyOVyCYJAS5nNZoOYi7dgr9czGo2JRGJ5eZnP56+trZFIpGKxCA8MaE1m\nsxkm6Gw22+l0MplMLpdzOBxcLrfX6/X7fbS6rK+vS6XSnZ0d/CC0Wi3IUzwez+12w0IDjw1B\nED/88MPi4mI8HocjE7W2pVIJ2JB0Or2yslIulzFsmM1mjUYD6A/YMygUyuLiIoVCQVWCzWbb\n2NiAyRrqOaLb4XA4l8slEgmcNkBnRSsF0omA7cnl8ttW79sN+satXC4H9GWlUonFYlarFdNC\nOKUAGCoWi7PZDKkKqVSKM0g+n9fr9QsLC+VyORqNApoMMzUkYHiExWLxt99+e+/evVwut7q6\nGo/HbTYbEOyXl5co7qtUKtPp1G63w3QBAxaXy41EIoVCodFoPHjwIJ1Ol8tll8tVrVZx9e71\nejKZDEyPbDYLB0I2m7XZbOhgRQhFKBSWy+VwOPzpp5/q9XqTyYTsIq7qAHEgbAY6M3Y6CCYA\nA+GlEo/Hq9UqKqD6/T6HwwFIEzbwq87W0WgUDocVCsXXX39tt9uz2SxBEBBe0emH/mzA1VCI\nNxgMEKyAiNxut3Eq1+v1fr8fSUVw61GqgKMl5Phut4v048rKSrPZVKvVqKlutVrwY9TrdXR6\nAYsBP2Wz2Uwmk/iGA4GAQCBQKBQo4nK73e/evZNKpYCNqFQqoVAIJ/iLFy82NjbQVrO+vs7h\ncKD+s1isTz75BJPDyWSC3mGkRVqt1v7+/s7OTqPRCIVCg8Egk8kg90QQBF4/JycnsVgM9zbA\nEafTKfAj0NkWFhbS6XQ6nUa41O/3ezweZOWtVmskEsHscWlpCSo2RDaULg4Gg1wuhxoaKCS4\nJ6Fhh8fjAe4Bc+GtxHG7Qd+4FQqFQDvj8Xj4ba5UKhKJhMfjIYXl8Xg0Gg1qsLVaLZVKRV0I\nOu4oFIpCoYBo2Ol0nE4nIs7z+RxbJ5rusH2LRCIUI6HkAlxQEomk0+l8Ph9CiWazGduQUqk8\nPz+fTqetVgvYZQT/3G7369ev5/M5jGUIzjgcjlwuJ5VKXS5XOByGwIISUsjfyWRSr9e3Wi2E\n1NvttslkQs5NKBTyeDzEImCoiEQi29vbkUjE6/VexShQpLKwsODz+UQiEXAigPfTaLSDgwOM\nWGu1GqB9cJUgtfHxxx9nMhlA9RCMbrVaOJliFodqvtlshpa8wWCAskSw9AwGA6LqmUwGuBL0\nmCCMg5ccInyxWOyzzz5DFWQ+nxcIBIPBAB+p2+0+ODjAsBfdfbFYrFAolEql2WwGehR4IDDA\nwXIOQVwsFvt8PrvdnslkYP3u9XrwoYOLDQ1EIpGgILxUKp2cnNy9exdOecwqcChGYASB1b29\nPRh7JpMJBsVgLUGtxr1EKpUmk8l6vb64uMjn80UiEZvNBu9UJpO9ffvWaDTiqtTv99fX1w8O\nDhqNxpMnT/r9Prw9er1eo9Gcn5/jDadWq7lcLrgiEokExZIQo28ljtsN+satQqHw9ddf46HC\nNZxKpapUKi6Xi0okDocDCAaLxZrP5/AOm81mdLghE4hdoNlskkikXq9XLpfBHgJynkKhFItF\n5IkB80VrOEbtFAolnU5bLBaCIGCw43K5gMdjfqVWqzOZDJPJjEQi/X4fERWDwTAej4VCodfr\nNRgMCwsL6OmYTqf37t0Df2djY6PVaoFPRKFQzs7OQL5PpVLoYUIaAsMx8HrwvnG73RcXF1wu\nt9Vqgd+m1Wq1Wi2Hw2k0GoiSp1IpNpt9cnLC5XK73S76tsGtJghCKpVCIYnH43/84x9RRq7X\n6w8ODj7//PNoNMpms2Fl6ff7H3/8McLHBEEgZrm2tsZms1GjB56RTCZDG/d0Og0Gg8BT4GDe\narUIgkAMHVMEvV7vdDoBdQJ/I5vNBoPB3d1dBBGv4ipQcmD1Ozk5qdfrkF/YbPbLly/RlkKh\nUFwuVzqdlslkmUzGZDKFQiGwm2OxGPifIKg0Gg2IFTjtTiYTlB/abDa8vxcWFsLh8L1793CT\nSCQSmBnm83lU+YBFJRQKm82myWSKRCLlcpnFYuH/vYKdBgIBu90eiUTcbjeSO6PRaGFhASR+\ngiAQroGTD1dA/LaUy2XcyabTqVwuj8ViHA4HI0q3272wsHCtz+L1r9sN+sYtr9ebyWScTufq\n6mqz2Xz8+DFYa5PJBGfMdrstFosxeIGfqdFojMdjBECGwyGiEIuLi1KptNlsAjO/srISDAbZ\nbDYedUyuRCJRIBDg8/nI4wFTWalUhEJhp9PZ3NwkkUhkMlmlUlGp1FQqhWJWEomk1WozmYxK\npWIymTs7O16v12KxSCQSlDn9xV/8xfHxMZx5mUyGIIhoNKrRaBKJBIo2PB4PDmgoQ0omkyji\nwj7I4XCePHkChMVoNAKA6eLiIhAIaDQarVYLAwOTyYSYi+oAq9WKRlrgMSkUSjQaBfoHDzyI\ndFwu1263I27e7XZB3GYwGOgBgX0im82CxZFMJovFIo/H63a7kLMxMETterPZxEtCJBJB+AY0\nGedo3Egg9KN4G7QjNpuNUPh8Pseg1e/38/n8jY0NXD7QFIPaRqVSKRAIwuHwlckd49nj42OR\nSDSfzw0GA5vN1uv1T58+LZfLH3/8MT7hwWCAnxQiSIihkslksLF6vV6n0wGfms/nx2IxRBzp\ndHqxWDQajSwWC5cnpVKJ9gNo7i6XC/t+JBKJx+OI/rPZ7MePHw8GA71eX6vV+Hz+kydPcGVZ\nXV198+aNXq9H/BW9Vj6fDxlR/HHMw0EpQEWDSCQSiUROp1Ov11/z03jd63aDvnFrf3//5cuX\nKNDM5/PBYNDtdovFYtT6XV5eorhzOp3abLZQKNRsNtvtdiQSQbMfjUbj8XiAf1IoFGTBwRRO\np9MkEgkJMdicwd9hs9k6nQ4ODVwznz59CuA67AcAALFYLA6HEwwGV1ZWWCxWIBBQqVRra2uQ\nGhCDRjk3soVkMvnly5cgr/P5fKvVOp1OGQwGqu3gQoPFLZ1OM5lMbBzj8fif/umfQOqYTCZI\nmvz5z382Go1ASWDfh0ElkUhgX8DjHY/H4WnBZo2JFpVKZbPZZ2dnJycnOFFiyprJZJrNZjwe\nB3uoWq2y2WyDwaDT6aAULS0tAVcSDofn83m9Xne5XLFYrFarLS0tAcb9/v17tVqdTqfRlY6s\nnUajcblcCIaAagSJeXt7G2C5KxoJfgRwqtBoNGg7rVbLZDKNx2O9Xp9KpcBuViqVJycnmCI4\nHA5EAWG+NhgMQqHwD3/4g9lsxnyyVqvxeDyMNMlkMrx9kLxTqdR4PK5Wq0gzSSSSarX65s0b\nFov17t07DofDZDIvLi5AW41EItPpNBqNmkwmhEVRud3pdCA+iMVi/IIFAgEajWYwGMBrffv2\nLUagiH0bjUaAcGk0WqfTefbs2fn5OaDSXq9XKpVCXEIxOcIseLPeShy3G/SNW5FI5Pz8fHl5\n+ezsDDYmk8k0nU4hPiI+C/kY2Boej2c0Go1Go8/nA8ABm53RaESrNIIYyObCXAV/q0qlginY\n5/NZLBZA8T///PPBYNBqtSgUyurqqs/nwwEtFAqNx+Pl5WUUqiKFyOVyP/30U7Va3ev1hEJh\ntVoFDBr6I9zWCoUCngcoDEhjp1IpqVQKbTqVStlsNhhsB4PBgwcPDAYDDrByubzb7b59+xYJ\nb/SJtFott9t95YbGnlitVnk8nkAgSKfT8/kcvGybzfbixYvT01Oc4sfjscFggCoiFAqVSuVw\nOBQIBK9fv9br9VtbW6hiOjs7Q4HscDjsdDqwIer1etjI8C6xWCxXQhDIRJ999tn+/j6oIAsL\nC9lsFuhXEomE3EehUACzAj5lJL/RiYPYutfrPT8/j0QiQFigeMFoNDocjnA4DB4/hUIBUtlu\nt6OHxWw2l8tlBGRYLNZoNAJmC3gAOp3O4XCgJ2Cn5vF44/F4ZWXl4ODg0aNHr169Oj09NRgM\nXq93aWkJL2+glKA78/l8OBFxh0PterfbTafTYJXATcjn83U63XA4xGb9+PFjfNq9Xk+j0WQy\nGYhdzWYzk8nU6/VIJMJgMCaTCbQ10KbevXsXj8cTicSVcnUrcdxu0DduBYNBtIRgkK1WqyET\nozpaoVDMZjOj0dhsNgHwRPYsHo9DLgRpE9MwdBoVCgWpVFoqlVDUDXkRPaQ0Gg2zJo/Hk8lk\n0Aqq1WoBzcCwqNVqgZgjFAoPDw+Xl5cHg0G9XpdIJGq1ejKZ7O3tmUymVqu1srKCTB3CL71e\nDw6TR48eIbbndDrD4XA2m8V5fDgcmkwmwEAwqzQYDAAoHx0dNRqNeDw+m80wsoPMzeFw9Hq9\nz+fD/Xo4HKIdCs22yWQSM7cHDx40m02v1wv9nUwmQ4+GRw09h9Vqtd1ug24xGo3Ozs7Aotra\n2spkMqjBxhEYZkGc72QymVwu5/F4L168QMoxlUotLy/X63Wk2JvNJrIbyJ03Gg2NRmMwGDAP\nAJibRCJ5PJ7Xr1/DMI7+lNlsBojVVVgchBDQO4ENYTAYKO6Ty+WYW56fn2ez2a2trUQigZRN\ntVpFzSu6uNA5Wa/XORwOvoHxeAwk1ps3b4CKHQ6HPB6PIIh+v1+pVAiCQD830AIYLGcyGaQ9\nQfcmkUgOh6NQKNy5cwd+UDabDbM8Xo0Q4oAqpNFos9lsNpstLy/Dq3MFWsGbFb6d6XT6D//w\nD6enp4i5tlqtra2ta30Wr3/dbtA3bp2dnaGMKhqNSiSSaDSq1WpTqRTK+lKpFCYtsHPVajVw\nEprNJtBoYrE4k8l0u12dTkcQhMFgKJfLOp3u9PSURqOhxI/NZsPYMBgM1tfXT05OLi8vkdNT\nKpWQKdD6HAqF0un0L37xC6SrLRYLRBUqlYo2jf39fdhXCYJAfveKqYTWFVAstFptsVgMBAJs\nNhszz0wmIxaL1Wq1SCSCWgqbtkwmQ/5lNpvhNQOAHLRXjUbj9/vhGkSNgFwuPzw8rNVqQMuj\nKfHw8PDNmzcYe/L5/EQiAQsHIh7wI6KASqfTaTSa169fc7lcrVa7tLT04cOHx48fGwyG09NT\no9FIEIRMJkulUvfu3Ts5OTEajQCwbW1tdbtd0JQYDMbl5WU6nTaZTDgv4xSMjwgbMWLll5eX\nEonEYrEIBAIc0oFs9vv9NpttMBjQ6fSlpSUGg+F0OjOZDJCeYD0Ph0N49aA/wLpus9kA+hCL\nxZgc4p6xtLRUKpXi8XilUhGLxYikTiaTer1uMpny+XwoFIrFYkKhMJVKDYfDUqmEIgK8COGM\nxnEbjTBWqxUgOiRLoWbgHQy0lkAg4PP5jUYDEcHJZGIwGNLp9E8//YSpZiKRwDAQhs58Po9f\nJHz/pVLJ5/PhtIHd/O7du7cn6NsN+sateDz+/fffo4uk2+3i4ON2u8F+g38O06dSqUSn06VS\nKcqoMF3B+Uin052fn8Mbh6o33LvhmgIRbX9///79+xgwkslkm8324MGDs7MzGGn1ev18Psc4\n68WLFyaTCRsivBkw1WYyGaSWFxcXyWQytlS5XH50dARUNIPB8Hg87XZ7MBjAOww1Fjm358+f\nS6XSWCyG4zOHw0FrLeIMKJxmMBhsNhuGub29vel0qlKpEM3g8/kcDgfl03q9HrteIBAIBAIY\nLikUCrwJIH1kMhm73Y5dAPKF3W7//vvvgRkCkhRXhOPjYyaTuby8nM1mMUBbWlrC+KvZbMKM\nDLmpXC6DWI1rPhrI0CRQKBSQq8zn8/P5HD8XsVg8n89fv35No9EQy0bPFp/Pn06nq6urMP8y\nmUz4c7LZLAaPoFkxGAyoK/BiIl8+n88//vhj5Eq4XC4Ch8VikUKhYP6ZTCZRZkYQBJ/Pf/36\ntUqlgtGCy+XiG9ZqtZhbEgTR7/fBLAS0VqlUKhQKGPMHg8F0Ov3lL3/JYrHK5fLKyorf73c6\nna1WS6fT5fP59fV1JAY9Hg/MlBg7TyYTMGbn8zm4dygDOjg44PF4yC7CHwkjf61W0+l0q6ur\n1/swXvu63aBv3Hr9+jXY7Xq9nkql/vDDD2w22+/3x+PxRqOBqRqgz1qtlk6n4yiNtAWJRGKz\n2TA/OJ1OhAgwXQSfAWM6nFYMBsP+/j56Znu93s7ODgxwQqGwVquVy+VIJPLw4UMSifTFF18A\n5Q4bwxVGHVRMBoPxhz/8wWAw+Hw+uLtABIUuievto0ePQPNByFir1eKclc/nAb6AW0Oj0QgE\ngmq1is0a0Gqg1646SmCaptFo6Kg2m81MJtPr9XK53OPjYxDpuFzu3t4espHwD2BmBX8L0FEa\njUahUAyHQ4PBcOfOHcQxlpaW3r9/f//+fSD5ZTKZ0Wjk8XiRSESr1e7v7y8sLLTbbfCAgPYH\nPxMJHVhT8OMwm80ul6terxcKBRD3IVNg64HrWS6Xw0ZJpVItFgtOjsFg0Gg0glDRaDTQjb23\nt0ej0UC0gCCwubmpUqnK5bLFYmm1WqBzcLlc0O/8fr/dbgdMamlpKRaLgX8ELSIYDJ6cnCws\nLESjUaPRKBaL4enm8XiJRKJYLCIdGo1GrVYrmHYsFguKEGhQ/X4fDesCgQAYP/DtkEiEMj4c\nDkEx/Oqrr8A8SSaTBwcHk8mEwWDA54Mg5Xg8Xl9fD4VCMpmMSqUeHR395je/IZPJa2tr1/ko\n3oB1u0HfuPX+/XtsoDAbXFxcSCSShYUFhULhcDhg0lpZWRkMBu12+927dxgNSaVS4IRarRZ8\nrAjjgdqBDkOJRIKDWLFYRKmHSCRC8JrP54dCobW1NS6XCwKD0WiUy+VnZ2eI+eIqenBwgOJR\nDoeTzWZxjIJdAZrp2dmZwWCAfOnxePx+/3g87na7jUbj7du32PotFgtkcSi833333crKyqNH\nj0gkEspGJRIJjnvQZy8uLqhUKsZWQqGQz+fn83kmk+lwOGw2WywWg8H2/fv37Xb77t27NBoN\n9sFOp4PPsN/vT6dTtVptsVgGg8E//uM/IgwN0wiXy93f36/X6/gbMVUDcc1iscCJ3O12Eboh\nkUiwA4LvCpDIaDRCLAW6sMVigXnj+PgYsjVI9jDkLS0tnZ+fg5qt0+nQ4MVisYAwxStWqVSi\nC1ipVELCwg0DuzMiJ2jshXUaN4/BYICOQQjNs9lMr9fDk4c8PRrWf/jhB8zfUMKL7phms4mb\nBKj/SqUyFArhVYdLA0pPkAbK5XKtVuvevXv4h3w+/86dO0AA4g6Rz+cBikIH8bfffouXK8yI\nPB6v3W6/evUKh3TMnLvdrslkQjM9kClqtfrOnTvX/DRe97rdoG/cmk6ngEPS6XQAfRCWKxaL\narVao9HAJzufz6PRqNvtbrVaHA5HqVRGIhHEcEOh0NLSktvtTiaT2D5Au4egSSKRhEIh9jsq\nlQqEAolE+ru/+zt8A2BQvHz50m63Q+UMBoMEQQBfR6PRzs/PlUoltr/5fJ5MJlFMh7LEdDoN\nqjKFQgF+GlyL8/NznLzsdrtcLk+n0wC/4a2jUChqtdoXX3xRrVZRT3VF0oGBAbwklUq1v7+P\nwmmxWEyhUGq1WjKZ/PDhQ6/Xi8fjf/u3f8vlco+OjgQCgdFoJJPJvV6PzWajrgX0y263OxgM\n3G43pPxutwsA0MbGRqlUQm0VDMuobTSbzW632+fzZbPZ9fX1YrGYz+fh6qVSqUA7GQyGZDKJ\nv+709NRsNiMyo9PpMpnM9vY2EM+ApdhsNgqFgj2dy+ViO1Or1XBPr6ysnJ2dEQSBE7RMJltd\nXcWfBSBpPp8DGgeyndlsns/n4LTUajUMYAH1B2cVDgowTmezGVSjd+/eofIKBb42mw0DYTqd\n/uWXXwJXRKVS//M//3M2mxEEoVara7WaUChEHNRms8HIwWKxptMpmUzGmxsT4N3dXdRiNZtN\nVJRdcQfPz88h2YPZjxw8yiqr1Spc+T6fD9GbZ8+eXd+DeCPW7QZ949Y333yDkxf4bXQ6fXV1\nFddqeOa8Xq9SqQyHwzKZDJQyuE1R8IGTSC6X29/fB6B9MpnIZLLhcBgMBtHPAkiNRqMZj8fh\ncHhpaWk8Ht+5cwcPicfjGQ6HZrNZp9MZDAZI4ZeXl8iqIIJYKpVQ0ioSiXBuQtisWq2CihcO\nh81m848//ggbQDgcPjk5cblc+CsIglCpVEtLS4jMmc3mXC6HciYcHn0+Xz6fx3/XVfxMq9WG\nQiGE/dhsdiAQwOhfLBbH4/GHDx/WajWj0Xh6esrhcMDwM5lMuCisrKyIxWKQ4DOZDOqyrFZr\nv9+3Wq0CgeCqGAy14vgrxuMxNkSv10ulUuHEwLsByE3c+kHtuHv3LggkENyz2azH40EcA59w\nr9drt9scDieVSvH5fNhaxGIxhKYr5He5XAaDAk2PXC4X/bwQNHDOBRMDkeh6va7RaEDKZzAY\nVxgs0FzL5TLc3wjHU6nUarWK+8fFxQU0qNFodHp6SiaTTSbTYDD48ccfQaCuVqsqlUqj0WA0\nDVPH+fm53W5HnbHdbq9Wq8AhoY0XSj1GtdVqdXd3l0KhoOwKuHCYCx88eDAYDPD7rFKpRCKR\nTCZDAlahUIRCITqdvru7e+/evet+HK953W7QN269ffsWAWIAdwaDgdVqlclk8JN2Op2VlZV/\n//d/FwqFqBMUi8VovUNYDpk3DodjNBoxo9doNB6P5+TkBDP3Tz75BEUtZDJZoVBoNJpms3nv\n3j2NRhOLxWBYxmH8zZs3YKodHh7C9gDlcXt7W6PRlMtlWAWAZ6PT6Y8fPwbAaDabVavVi4sL\nCoUCICeQ/+jTw4P35ZdfgkgJk0kmk4EDA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F5jsFvA7oLKRDAFQYhGBbBQKMRFh8ViOZ1O2IF4PB74txhaoI8N/T5yubzdbgPnBLQT8LOA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\no1G3251KpbC5hjHSZDKhNgz3k9ls9vvvv4fiDTslgUCQzWZRNO7z+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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "imageplot(clamp(y))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Linear Image Denoising" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We consider a noising estimator $x \\in \\RR^N$ of $x_0$ that only\n", "depends on the observation $y$. Mathematically speaking, it is thus a\n", "random vector that depends on the noise $w$.\n", "\n", "\n", "A translation invariant linear denoising is necessarely a convolution\n", "with a kernel $h$\n", "$$ x = x_0 \\star h $$\n", "where the periodic convolution between two 2-D arrays is defined as\n", "$$ (a \\star b)_i = \\sum_j a(j) b(i-j). $$\n", "\n", "\n", "It can be computed over the Fourier domain as\n", "$$ \\forall \\om, \\quad \\hat x(\\om) = \\hat x_0(\\om) \\hat h(\\om). $$" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "cconv <- function(a, b){\n", " c <- fft(a)*fft(b)\n", " return( Re(fft(c, inverse=T )/length(c)) ) }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We use here a Gaussian fitler $h$ parameterized by\n", "the bandwith $\\mu$." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "normalize <- function(h){ h/sum(as.vector(h)) }\n", "t <- t( c(0:(n/2 - 1), -(n/2):(-1)) )\n", "Y <- meshgrid_2d(t, t)$X ; X <- meshgrid_2d(t, t)$Y\n", "h <- function(mu){ normalize(exp(-(X**2 + Y**2)/ (2*mu**2))) }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the filter $h$ and its Fourier transform." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Plot with title \"h_hat\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=8, repr.plot.height=4)\n", "\n", "mu <- 10\n", "imageplot(fftshift_2d(h(mu)), 'h', c(1,2,1))\n", "imageplot(fftshift_2d(Re(fft(h(mu)))), 'h_hat', c(1,2,2))" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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1uda4h3u109gvv9SU0LdP2ybcKbEmv+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", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "imageplot(h(mu))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Shortcut for the convolution with $h$." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "denoise <- function(x,mu){ cconv(h(mu), x) }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display a denoised signal." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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8x94LXG3BU3t8i8Yc7XeoXw6+vLzDTEXJM6i3KM9U47aqN+0kbxk+amLSrMqPnr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\nVD5GR+4739PpegcNaWRTSsSfcjm8B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E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\n134AAAAASUVORK5CYII=", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "imageplot(denoise(as.matrix(y), mu))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 1:** Display a denoised signal for several values of $\\mu$." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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CSqGU+cDfcZvA3PI52WLoZ40pJHwf+HO4FwYAm+u7uLRX+32w2Hw81m88EHH0T6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\nCVYRafAGo765uQktTGyljGW9Xr/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PvR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\nPA/mtwos1IYUUaf4kKlw2aiwgHvvNhu0lZ24hXS0/lR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Zj7luSbxtm+uRTDjsCe9o8DzZoPZPONONoZYptuL/NjQasX3gld6zy6sRMzYc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\nTJEJ+tq7CM1b6y12Lx95s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"text/plain": [ "Plot with title \"mu = 6\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=6, repr.plot.height=6)\n", "\n", "source(\"nt_solutions/denoisingsimp_2b_linear_image/exo1.R\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 2:** Display the evolution of the oracle denoising error\n", "$ \\norm{y-x_0} $ as a function of $\\mu$.\n", "Set $\\mu$ to the value of the optimal parameter. " ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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KFDO3fuPHjw4JUrV7KysnJzc83MzFq2bOns7Ozp6am5h6WEVCrV7t27NTM/XiQ9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\nM7127doHH3xQqVJZXqC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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=6, repr.plot.height=4)\n", "\n", "source(\"nt_solutions/denoisingsimp_2b_linear_image/exo2.R\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the results." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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DSIAJmbpmlTsk0sX7olXvhbufoVDBLWwwNwuBa5YWaZNwkhTo98RlTpMu2qqmaz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\n59Wuk6crl87UM6fQqm9wr/ksx19PGedaYRPqPQcbu6qqttstrAX2LLS/I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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "imageplot(denoise(as.matrix(y), mu))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Wiener Filtering" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We suppose here that $x_0$ is a realization of a random vector $x_0$,\n", "whose distribution is Gaussian with a stationary covariance $c$,\n", "and we denote $P_{X_0}(\\om) = \\hat c(\\om)$ the power-spectrum of\n", "$x_0$.\n", "\n", "\n", "Recall that $w$ is a realization of a random vector $W$\n", "distributed according to $\\Nn(0,\\si^2 \\text{Id})$.\n", "\n", "\n", "The (oracle) optimal filter minimizes the risk\n", "$$ R(h) = \\EE_{W,X_0}( \\norm{ X_0 - h \\star (X_0 + W) }^2 ). $$\n", "\n", "\n", "One can show that the solution of this problem, the so-called Wiener filter,\n", "is defined as\n", "$$ \\forall \\om, \\quad \\hat h(\\om) = \\frac{ P_{X_0}(\\om) }{ P_{X_0}(\\om) + \\si^2 }. $$\n", "\n", "\n", "We estimate $ P_{X_0} $ using the periodogram associated to the\n", "realization $x_0$, i.e.\n", "$$ P_{X_0} \\approx \\frac{1}{N}\\abs{\\hat x_0}^2. $$" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "P <- as.matrix( (1/N) * ( abs(fft(x0))**2 ) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the approximate Wiener filter." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "h_w <- Re( fft(P / (P + sigma**2), inverse=T) / length(P) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Note that this is a theoretical filter, because in practice one does not\n", "have access to $x_0$. Display it." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAK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\nywAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "u <- fftshift_2d(h_w)\n", "imageplot( u[(n/2-9):(n/2+10),(n/2-9):(n/2+10)] )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the denoising result." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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N5sFVfv9cFBEh8KU3oraj5JQdNqtRK3Lledk4m8pTjbFbu1wgvVtUOjkTpWQFZ6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5Xq8/f/48Go3G4zE4CIcIsqB1AzIAFFMB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\naDSfz3u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1xSdjpirimkt+NyoLD6mpX1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\n33//fdd1Hz9+vL+/L6QvpIwJRU7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FEW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", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "imageplot( cconv(as.matrix(y),as.matrix(h_w)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Note that this denoising is not very efficient, because the hypothesis of\n", "stationarity of $X_0$ is not realistic for such piecewise-regular\n", "signal." ] }, { "cell_type": "raw", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.3.1" } }, "nbformat": 4, "nbformat_minor": 1 }