{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Image Approximation with Orthogonal Bases\n", "=========================================\n", "\n", "*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", "$\\newcommand{\\Om}{\\Omega}$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour uses several orthogonal bases to perform non-linear image\n", "approximation." ] }, { "cell_type": "code", "execution_count": 2, "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", "options(repr.plot.width=3.5, repr.plot.height=3.5)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Best $M$-terms Non-linear Approximation\n", "-----------------------------------------\n", "This tours makes use of an orthogonal base $\\Bb = \\{ \\psi_m \\}_{m=0}^{N-1}$\n", "of the space $\\RR^N$ of the images with $N$ pixels.\n", "\n", "\n", "The best $M$-term approximation of $f$ is obtained by a non-linear\n", "thresholding\n", "\n", "$$f_M = \\sum_{ \\abs{\\dotp{f}{\\psi_m}}>T } \\dotp{f}{\\psi_m} \\psi_m,$$\n", "where the value of $T>0$ should be carefully selected so that only\n", "$M$ coefficients are not thresholded, i.e.\n", "\n", "$$\\abs{ \\enscond{m}{ \\abs{\\dotp{f}{\\psi_m}}>T } } = M.$$\n", "\n", "\n", "The goal is to use an ortho-basis $\\Bb$ so that the error $\\norm{f-f_M}$\n", "decays as fast as possible when $M$ increases, for a large class of\n", "images.\n", "\n", "\n", "This tour studies several different orthogonal bases: Fourier, wavelets (which is at the heart of JPEG-2000),\n", "cosine, local cosine (which is at the heart of JPEG).\n", "\n", "\n", "\n", "First we load an image of $N = n \\times n$ pixels." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n <- 512\n", "f <- rescale(load_image(\"nt_toolbox/data/lena.png\", n))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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O4glPH5fM1mU+mon9LSXL5I/G6qSjkAmKBSKpvNzs7OKt1lTynVaDRGoxFBdzAL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\noBSZn5+/du1ap9NB5AglrFareJpcK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B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AsI2QkEAltAyE4gENgCQnYCgcAWELITCAS2gJCdQCCwBYTsBAKBLSBkJxAIbAEhO4FA\nYAsI2QkEAltAyE4gENgCQnYCgcAWELITCAS2gJCdQCCwBYTsBAKBLSBkJxAIbAEhO4FAYAsI\n2QkEAltAyE4gENgCQnYCgcAWELITCAS2gJCdQCCwBYTsBAKBLSBkJxAIbAEhO4FAYAsI2QkE\nAltAyE4gENgCQnYCgcAWELITCAS2gJCdQCCwBYTsBAKBLSBkJxAIbAEhO4FAYAsI2QkEAltA\nyE4gENgCQnYCgcAWELITCAS2gJCdQCCwBYTsBAKBLSBkJxAIbAEhO4FAYAsI2QkEAltAyE4g\nENgCQnYCgcAWELITCAS2gJCdQCCwBYTsBAKBLSBkJxAIbAEhO4FAYAsI2QkEAltAyE4gENgC\nQnYCgcAWELITCAS2gJCdQCCwBYTsBAKBLSBkJxAIbAEhO4FAYAsI2QkEAltAyE4gENgCQnYC\ngcAWELITCAS2gJCdQCCwBYTsBAKBLSBkJxAIbAEhO4FAYAsI2QkEAltAyE4gENgCQnYCgcAW\n+G9z11lC0SoukgAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(f)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Fourier Approximation\n", "---------------------\n", "The discrete 2-D Fourier atoms are defined as:\n", "$$\\psi_m(x) = \\frac{1}{\\sqrt{N}} e^{ \\frac{2i\\pi}{n} ( x_1 m_1 + x_2 m_2 ) },$$\n", "where $0 \\leq m_1,m_2 < n$ indexes the frequency.\n", "\n", "\n", "The set of inner products $\\{ \\dotp{f}{\\psi_m} \\}_m$ is computed in\n", "$O(N \\log(N))$ operations with the 2-D Fast Fourier Transform (FFT)\n", "algorithm.\n", "\n", "\n", "Compute the Fourier transform using the FFT algorithm.\n", "Note the normalization by $1/\\sqrt{N}$ to ensure orthogonality (energy\n", "conservation) of the transform." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "fF <- fft(f)/n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display its magnitude (in log scale).\n", "We use the pylab function fftshift to put the low frequency in the center." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": false }, "outputs": [ { "data": { "image/png": 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Tl4lvBz13UXi8Xl5SUfEJIaTBwymcyzZ88kZyfBbu/iu+++Gw6H1JsUrXy/md6H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\nLqigmbjAD5JuCXliqVRC30BDgH/tdDp0Ene73WeffUaFVS6XaQ3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dNxKX1et1ZjOZOUV6AiySpEDAM9WUSCToh8LcMR/Cz4+OjqDz6ZwM\nh0O8XhAS4o/CGymKcnd3B45E5wVXtV6vaRmzOYwKkRIPyGbSlsyLbgxWTvgskAhToSNLpO7G\nVA5lIqQhXBu4w1ya7/sYwdMiR/bBvEQul6MkJ1GlKyKEWK/XqJGFEOyQdV03nU5/+PCBk8W2\nIBqGIY9msIyCmoI9lUpRRFN9//rrr7Cx8KRCCMuy5CpFIbuxexiMeXe7XfqYjPFTDa1WK3RY\nWHKi++cGo9SicsRGHMQh83r79i21YQSO5Ee0I9CyGYYxn8+FEIwZWZb1+PioaVq32yXpY8yL\ndiS2oKZpos9AW0dzgLqbWk8IMRqNptMp+MJkLn5EpC20C2H9kLMgfKlWq+RrXBPuarouzEgA\ndhCCy+WS8g2gZxqMZiu8lRCCMQMhBF6eMIBodCgeKRU5fcMw+v2+7/toaLLZLA6mqFIcx3Ec\nZzKZ3N3dCSFYGY4f59/bFHP8pmne3Nz0ej2AlWk2RvS5jOhpqJprtRo7LphRwwKg1+sxhoyo\nGKDcbrf39/eRMoaPNZVKpVKpFy9e/PTTT+fn56zgYdiGcv7AQ2Z2exevXr1qtVrIZbHtHI/H\n2WyWfIGOG2lItKYP1S54FI/HYYsymczHjx+ZUmo0GmQcDGYwSc79E91CmAhQEKGJE0J4ntdo\nNCipcBInI2u1WvQfwAj0KEh2aVAuFgsUebRKGLrg+ElRPc/D/J38BdcT7Sn6/T7SX4Y90aBh\noESvgF+Dt/J9n10Wtm3T4uDKRKllLBaDbqNU5GI+PDyw0giRCrU2+MuQGXI8CmcSzMlkQroH\nLQA4UtuSXfZ6PfI11kiyLZfhMwphWtVMwlBBIzCCVfR9v9VqcdE4fYb86Xerqkoex7U9Pj52\nXZcNjWTTvHI6nT4+PqZ9THqoadrLly9lN1ZmdnsXwA0zRjTmuF3pS0ynUyopx3G63S7iW/II\nIQRcPoTaf/zHfzDngPSU5iByEJIjXHAnk0m/3z89PcUqAzaQBVoIvkjx0ul0uVxmpXQ8Hj85\nOaEjMRgMwjCczWa0PihUqQFJWzzP40alChsMBsVikc2N1WrV9332B+L8ES3HOj4+hqejuMNP\nCVGFEIIxL25jpjI+//zzbreLXUIqlYJ2jNJJYGs2m5HSogT++uuvAV9gC6kHXR0hBBX9brez\nbRvakRqZ3z89PcWAQH9axrZarWhQMKfBSoqjoyMQHxYikUi8e/cOsz+sA6ni0TbSWfrtb38b\nBEG5XG632/R5dF3H7hj4poblTYUQiLdBWPFUDqPBZDiXYerHx8dP+JXek5Bgt3cR1ZUkJmyQ\nIccZj8fos3zfn81mJycn3CHFYpFyJva0F/H+/v6Pf/wjFhrkeoqiDIdDajcGXU3TBBxR1ZEL\n4MLW6/UMw8AoCWEXUl6WijFfha4ln8+/e/cO9pDDYHQX5yUau6yRfnh4CMOwWq3ScmEKIpvN\nYmdCgzWbzcI9jUYj7C1R2zELhTMlV4mKeLVaUfDSHUZfTQuVcWA4u+l0qqoq/Y3xeAyxCJYt\nFouojM3n83hb0Thm9ov9vKPRiFHiWCzGYC80XDqd/umnn/ynPYc0uDebzdnZGYCLsSBNAyEE\n+o98Pk9iDjNL1kmR3u/3GbmtVqv0xIUQXAGeHIvFgrEWhHUYOzM/t1gsUOosl0u+M2SLx8fH\ndI0OPGQZu3fx5s2bZrNJLSaE0DQNDOJ5zvquWCzGBoNIRYFIDSKfQXekeYysIjcTT2698FnM\nKoCqq9UKHR893+l0Op/PSXkoP4UQDPMjyiWbQNfSaDRYdMDdjiAmqo5nsxn6jKOjI8pVAJqB\nENw+KpXKdrttNputVotGBwwdTV7P8xiTwHyYjBKjY5gyBGtMgLJccb1eN5tNxDS0d+m9gl9Y\nRZE+oyhst9sYWFFpUonf3d1RgJM9YRra7XajoTE0zF988QXzHjQxOp1OOp3udDo8D2gskIQy\nBGbb9q+//kpz3LIsZs4eHh5QKfOR4TCI3BKxXqPR+PjxIx/EcDiEZBBCMLkBWCOQFEJYllWv\n123bxtk4Ho8/f/7866+//mTf6f0ICXZ7F9999x2sPwoDXE9ANAg7IUQ0OAkJxZwDTcPFYsHW\neub5yaHg2mjawmpDgTN+j+kQ8ASVjnEAr8BQAXReIpHo9/vknrQsqeyQNIMFSDGoYWEM0Qmi\nNCZ/JK3DyDefz7MR8fj4mPkQus9gR+RcQN0KScf8Fq3kXq8nhOAdkXewb0x7GiIGlWizRuRa\n5JhAS5ckERkjRntIcFqtFpMYILiiKBzzu3fvmNNgPpf2Dl3vXC53e3t7fn7ueR6PqH6/Xy6X\nu90u48alUgmX+WiVGvks5wt/hzcXWmhsAkges9ksysTwyZQfj8JkMgnI2raNWVZkUtDtdjFW\nkd1YCXZ7Fx8/fry/v6f3x7gYiVIikcDaBNkB8l3TNP/rv/4r6gBE0oxDSwAAIABJREFUi8Qg\n9bA7pxra7XbsK0B+wSw6HUOQguwAAxLwiwlzwzAKhYIQguI6sjiGpwc6ofbRiHU6nXw+TwGO\n4oTCVggRj8cRD6bT6cfHR7gtWpb5fP7bb789OTkBgEhhut0uAyQALqNvlN5/Pw5Vr9fJXulN\nL5fLn3/++eLiAhDn7Cgz0+n0fD4vFApknZCbnDtoTj0uhEC6USqVZrMZljCwk3Q5arUahACM\nGPJd6srhcFgulxnJYMoCxQ9Oy/RG/vznP19eXkbzdoy+4dGELJwPHekMg644IVN6g2LMqKAQ\npBvLMddqNR4DSG3AU8/z/vVf//WTfq8/fUiw27v4+eef2+12RMlDwSAoo++JJRxlrGEYpVKJ\n0pXkhXkAxktJbcA7qDfcuvkJs1/ozgqFwnK53O12uOwyg4lNOZ1Qir5YLDadTikJo7kxykNI\nNxomZILUbuQs/Jz+L7jAOAHvBf6enZ3xOoApwxKozLAgx/JzNptRNjIPC+xGri1MZdVqNVVV\nccSjUMVrHm0NdGSlUqFBgSMmw/w0FmAqURcLIThT3/exjQLcU6lUv9+nhORictlJDCFGAdnV\navX69Ws2nNE7RqpCxi2eRELMpcBgiCff1vl83mg0/KddYih1MMsiaY2MUujMsDQjDMP7+3ue\nZxCUf/rTn2QZKxsUexfsCaUnyz2MJxJ5AfCx3W5nsxnFGtnTbrejBBsMBu122/d9tMHwX47j\nsH8nm83S5CVnRHGCrxxVEoPllFTITdDBRZkU+mFQgBzQMIzHx0cqL4Y6T09PLcuq1WrkdLQX\nsC0Avukqkn3g7IRVCQI0KDaaxeJJfEvpjUkBHWoWGGpPu6V5ZQr2yFGK7s1sNgM3y+Uy9Sbl\nJ8BBg5u5enCHNYx4OA+Hw81mE10oVDhCCPrINDpwf0mlUrhFJZPJN2/e0JpgSuSbb76he8vp\nUFA7jsPIBOWz4zjj8bhWq6EDF0JEwmyKbtd1fd+nwxN5mqK7ZiJluVwir3McJ5/P074oFosP\nDw+j0egTfqX3JCTY7V0gFe71esxjUqAxkkUfE81tpDCAGzIMg3yhWCxWKhXf99kwTf9OCIHQ\nnyyJBAeXSlVVj46OSFLQqTGmHj45tlN/0bVAxYLRCL9DBc3WCO58UhLEKOPxGJDC24OZeUpU\nbuBYLHZ9fV2tVhuNBjcn/cQwDOv1uu/7qGGjniZbXzHdQ/e3WCzok97f3zMdzKIGxLcgFxoX\nLi/UPmjO5C/IiLaD1wdPkcugoYEf2O12WEKl0+lWq0V2FovFPn78SKsEx6r1eg1BRg809rTC\nQgjx7t27XC5XqVSQKKJWwQA1n88DXpChPPAQ0E2nU6ZHMNNHpw3B5zgOR8ipRf6gpmmWSiVS\n18j188BDgt3eBStgyuXybDabz+evXr2i+cBqKyzV5vM5tBF6K4InP5u3+JZTKpbLZRhA6jio\nbtu2j4+PEfQLISqVSi6XK5fLDw8PvHs0cQliIn9D07BYLNg+gRmJqqrpdBojo2iqQTyhNthB\ndUntSf+BbNG27c8++wzgplSv1WrMriHIeHh4gFxDqxHN9gIW1JvM8J6fn3OE0eaaMAyvrq4i\no6p4PD4cDvv9fr/fN02TZZWM6DJzSv2I1R2VMrkk5qb39/ewohwnH4cQwjTNer0ehuF4PB6P\nxzRSeQiNRqPJZIITTKfTUVX1yy+/5Cniuu6PP/7I5By1LfjFh16pVEjN0BhxDbGToe1erVZZ\n29btdqE7uNosVIN8JFPWdR250qf9Vu9DSM5u7+Lm5qbdbpMTwVXbtl2v1yPjTB7mCK8Q1kFX\nb5+2XO92Oxi3+XwOAqIa4+ZZLpflcrnT6eRyOYhw13VbrRZ7YEulkva0IJVKE5Oofr+P7GOx\nWFQqFczNSTr6/T7ICz3PrYVADHUIcgpuWoYfqMqZnYB5ZK6LwvPh4YHFGsznRht56JnQb2XA\nnj0ScFu0I9Lp9O3tLVYIQojz83O8SNHxCCEqlQrgC+gzOVur1Zh/wAyGJiwgwhYxxCh8HHgo\ncUhkdqqqsjscSyhgiOkLOtej0Yj9QYxYULfW63UWRHiex4IxGi8kyzSghBBR05ymLbkb0BYE\nAe6q9KNgRaH/8IzgdUaj0enpqdwbK8Fu7+Lnn39+9eoVI0o0ZHO5XKT75yfdbpdvP71XZAcU\nm1HPjj+H5Or3+/B9AA1LnTGG4l4FWNHihU8L50ejUTabLZfL8/mc3aykNkEQ4EOXSCSgsZjb\nJ+vp9/uIhJGq0EFmGSs7UmH3R6MR6BA1MaJR30QiEX9aS0YtWSgU7u/vSeXg8uhIMiDBvQ1o\nCiHoq3IdwLLI9Jjjp/mDDA3hDq0DNnihi449LcoAU1AjU4pytOLJL485vKOjI3DK87x8Ps9H\nQKGNgIbOOJeaB09kD4NbF5eXQbpMJsNECrU/CDsYDKBr2+02cuVOpxOPxyeTCVkn9AI0Kwdv\nPNnon5+ff/PNN5/0e/3pQya3exc4DnHb49NN9kQTdjAYwGTF4/G3b9+i0X3x4gXVENNd/He1\nWkVx4rruxcUF+ZHjOP1+v1QqwWqR8XmeR5bXbre5sUkGq9UqMxhoF5ChjMdjhqK4sYGqiPgn\nS8pkMhTCm80G/wImJY6OjshiTNPElj3yJefOp5akDVooFDCnXC6Xk8mElgIdifl8TrUOaRWN\njkYtaUh6xnWR9bmuy9NiPp+vVqvBYMA4BGMnQRBga3x8fAwEUxhCdzKfBwWGk5WiKNS/9I4Q\nBjNxDJBtNhsGk1nJSPsIPEVnd3R0RF9oPB5Xq1WwNQL95XIJUwFakQ/SuQ7D8OLiolKpuK5L\nEh2G4cuXL+fzObm5ZVn5fJ69aEiLOLBP+63eh5CZ3d7Fq1evfvzxR8ooRMWlUol5AxYLuK57\nfn7+8PBQrVa5G+GACoUCs+VIz9C+TadTKCdEG6lUqlqtKoqCnCLSpimKgnYBX1wqJuovmh6k\nfpRgLH+ADjdNEwhQFOXx8RHJPgOtaOtoKNNL4ZBQRCPXwEdEVVWs2UAr5DXI65ge4wCwP2Cw\nFzrP8zx8AcjygD+6GeSGEJexWAwFRuRGZ1kW8xWkbPl8niqSsRDsQ3a7HUniYrGYTqfJZBIh\nG6Rbr9djgpiRD5IyEiuuEiBOW4NMmQkzDkZ92gmrqmoul4NL5brBqJIOwwCSVvPueLhCNSA5\nzmazPE7Up/3c5P4060ljLy4u/vCHP3zib/anDpnZ7V1omlar1WCjXNd9+/YtFkmO47AYO5VK\nNZvN09NT27ZTqRQ11//+7/92u92oGYdvCpVXtVq1bZvbFSEbmRFmIfD90VYEpixRV2AW4nke\n66XJobhdsSSgOwF80AOhWObeowDUNA0/ZCQvy+USO/ibm5tSqYTWjxynUCgwyYDZHN5HtEpZ\nl0MpR3vEMIyXL1+enp5S47NPK5pdpR+CEng8HqPsBc6Oj4+FEGzzsG17uVw2Go1er4c4Dnkg\nCp77+/toCyJQYlnWcDhstVoPDw9QlmiYf/nlF3osTIBRq2qadn9/f3t7CxxTY+52u263GwQB\n5gJUzVF6mEqlkMgAjozlgqTM2yGv8Tzv1atXk8nkhx9+0HW91Wqh+p7P5+fn58ieeU788ssv\nELX0Ug48ZGa3d/GXv/yl3W7n83k2uqI1CcOwVqtRQlIG4t2I5QliFDh7Bvtnsxm8Nc7glITc\n7SAR3QDuYWbCLMu6v7+v1Wq2bUeKVlIJqG74KZCRbgmsP3MO8GVMqmK1QmZEtsIObH4Nk0sh\nBHseJpPJZrM5Pj5GPk3H2TAMdDBCiGazSTUNeYefJWlaNBM2Ho+Pj49JOck6ySuZPWBiBA6x\n1+sxdUsRTSUOQKODI5vGjB685nECgYi9HVI4zA5oXlPpw0hGOiHTNC8uLnjGFItFJu0YbyD/\nwpIrCAIgG0Ei09DR50K3hxkScj1N03CpaTQa2Wy2WCwOBoPb29t6vY5aCGup2WyGUWgikXj2\n7Jnk7GRmt3dBjYZfLmwRfUBscpHm88BHyVEqlSaTCZPwGHtQ6JHaUJFxg5EjwA0xtgXcIPpn\nytKyrJcvXyLXKBQK+AYz1yWEIJch/YkcO3K5HBkHEmIaFOv1OpfLXV1dwbJHA0zARBAEsGO5\nXO7o6Ojs7AzdBtOgwLRpmiSGX3zxBYJnTdNIURH9AalBENA8pf/LUBdcFaV6r9djWAIvPJJH\nMLHT6aDvJX2bzWYkaO12m+ZPLpdjqI7+RuSNTJYXuc5Q8gshGLDjGJi4QGSDbQmvyUQK/qa5\nXI6ziIZMeELc3NwIIUDk6XRKfi2EoI1LDTsajYbD4Wq1Gg6HlmV9/vnnLEjDATAWiyEk1HWd\n1Tyf9Eu9FyEzu72LH374od1uQwBRJSFlgGCivYgeYjab5XI5lChw+YgnKEURIlBF8pO/J8KE\nEEAkM1IYHafT6fV6jbObruskmJqmkRyBLCR9juMYhsFMAq9mGAaaspcvX+KR6zjO6enparVi\n3tZ82lqNSAWVv23b2B03Gg1mmyKgR2Ebi8UGgwF2A3iUQjIyDM9jgH7L1dUVkyHkoQArwxV0\nJxF5FItF8AtjOCbqo0217GDEFoVJOxo7zOoxWcG0LGJp8HS1WmE5h30AyTVwAw4yLEFCOh6P\n8ZSOPFGQDYVhyMgKF1PTtH6/T54Ii1csFnHNQnJ8dnbG8VOql0olWEs+ayqA+XxOX+X09FSO\ni8nMbh+D/ILRJdwuI5NITdPYhRhBHqwZtDdmbYvFYrvdDodDhHi//vor01qIdcmh5vP5yckJ\nUlXHcch6qDeFEJSBZ2dnVMFUskgfmJTAbY2RTN/38Yl8//790dERlBN6XSbVuSERzXETAprt\ndrtcLodhWKlU+v3+ZDKJFLbr9dpxHFQm5XIZA/Ro+FdVVfzaqOlIiC4vL+lC0lVIJpM4X9JG\niMViJycnlUrFcZxWq0X+SAuV8VXcTCuVCrUk7RQEQMhTdrvd6elpxOgxY++6ruM45IkRbcdx\nIqDhEQVlhjkChp2wn+xC44z4xGFOSTMbjcbR0RHoWa/X5/M5ZnaR1xbSxXw+D7YC6LgqAJ3F\nYpFlaSSGBx4ys9u7+P7777/77jt8KxFtxWKx+XzOABlNAypc2giMFkTjRAzMk1xAM9HDjcw/\nBoMBWQA0kHjaSUhnA1jsdDpolSHR2SiWTCbh4B4fH0lYUL1Op1MEaLVaDaSjIUAehNZXVVXM\n3EulEqZDu90OYpFGbT6f50YlfcPsBN+69Xpdr9f/+te/np+f4z/KD2EhCabBSKb+fuSWITmU\nbhSAiKI58lKphBQGj6lCoWDb9nA4RGjCXNrNzQ2cXSwWI//l8QMdxiYwlr2SxyEY4iB//fVX\nmi3ocig/OXfarDwVACbMSyITKkR//CFqu7u7O06Ezi/z0Sz9oKGBkvn169f8BD8bGMnLy8uv\nvvrqE36r9yEk2O1dfPjw4cOHD7vdrtlsssVVCEGilM1mbdsm+ULmZhgG2EGNycwWxRSSYEow\nBKtwQ7hXRpZ5/A7tVEVR5vO5aZqFQgEXctd1MRoCcFmeUC6X6ZkEQUB3ODIdggRkwJYWoRCC\n7Il7GDyKWrewcpEvgOu6tGhJcxC7gaq1Wk0IoWkae2PhGUE96mhFUXgFytXovDabDY7tZFLR\ncAIpLUmZbduLxQLCC9JgvV6jOuZqw3lxwSmfcbsi6eOyq09rXhm3CMPw9PSUBwkGojSaSZPh\nLhGasPFWCMGiRS4aG8F5jPV6PV3XC4UC+SzsRBiG+XyeIRnoiCAIVqtVrVaDA8ELh6fC5eXl\nb3/720/wbd6nkGC3d/Hdd9+Nx+PFYlGv11VVnUwmDJ9yl4ZhiNGFeJLy01JklkAIgfCKnzeb\nTe4BqCKaszz2c7kclenfC0rIO4QQKNRwCkDdxgYvameSJm5aDoOmB/iCsAtKHq0GA/zAFvNn\nQBXMXdQ9QOKLupDtQrZtw9/zaqj5YC2VJ8dN5nY3mw3GB6AS6hm6pagOo4ZysVhkSSv6DASM\nlmVdXFwYhrFarWAhFUWBryQtjYTcUHgRFEKQMUhHfQrokxViZEIPmg+CXWhk0BHUomKheUIb\nlxYzH01kjYWLFF1v2k3IKiuVCtk0aAuwdrtdHgMYeZ6cnEjzTgl2exdXV1dv3ryJ1qTiDYdq\nhAURZEM821kuhUA/kUjQyyObQ+8KOjAXRcVE1UkGhEyPpqoQAgijPGQJd+QAjgoEQfJyuURO\nTDsYdBNCUIvRvXUcB9U+67dxOgGUDcPIZDJkMWg7KPSUJ+85MIi/ZeED6Mn4VzQzxziB9rQU\nzfO86+trUtdcLodQEcBdLBZgK1kqnnF0UWgs4OQejX9x5Wk9R7kqo7KkyWji4OZM07y9vaVL\njoc7GyciH4GIakRNDaIxwoxCGLaUzJo5P8uyPn78iEsrmS/NZaDccZxms8lQcDKZ7Ha7DMDw\nPMCJj0+H99J1/eXLl7JBIRsUexfcHkzsCyHQN2CEiWs5+jIEE0hMaJuiR2m323QzhRAs8crl\ncm/fvoWzp52HgxvdujAM+/0+bqARi8S4Aqgai8XG43Gv1yPNQTBBL7LT6dBwyOfzzNu7rtvp\ndKAaSXaQkkXNBAakRqNRKpXi8MSTgzFIB6aTxOm6Xi6Xs9ksxicMgdGR4AjJjGh32Lb9+eef\nA3bdbrdYLILjw+EQzQelpWEYL168qNVqxWKR4wQR1CezOfG094frTCY1GAxQkCAMJAvmUliW\n9eWXX9LJhRNklxjeBAxU8MrKkysn9GhkIxjN8PI0Av7Ozs7y+Txe9u12O9qTrSjKbDb77LPP\nuOyZTObZs2eMEqIcxPMd16zhcEifRIqKhczs9jC+/fZbFrxH3r8Mb5LcCSFgbaJCCVskJsYY\nOKcVCG9F47JWq7GrgULy9evXtPPo3yFhQceLNnU6nbLymSkONjqSO0BvbbfbarVKXUyGEnty\nIWblGODFFDoJoKIo9GeDICgWi47jFAoFUkJefDweM6sP5YftCuNxOFZGfuVCiOFwmMlkIPXh\nGRFe0NkEo+/u7hzHaTQaOFOxrpDpBcpkals8UTDjgx0bDAb/h737WG7szPIE/sHSEyRAAPSk\n0kmqVqmqVV1jovsBZjHLWc1bzmI20xFTHVMdoVCXTCpTmUpHJj0ID9CDBpjFL/CF3iARUbiL\nChWThLnAPfecvzs2rsX0BCI+y211vuBCL5gkCD/gFaaHK0GkzJPIANfcqHAdzpLqBl8DVij0\nKv7FxYVlQNFF8+TJEwaMGOrF/Kt63tzc0F0DWLnKxjsowrizG8FD7BrVgh4t3vBBWouLi91u\nN5lMttttUlVmzBCCBhCUxpRu+FJoePJ7vR79fSQNKOxQfsrK3NycNHB15Ndff2232xCrcrlc\nKpUsc3h4eADYX15eatzE5GlF5+fnDWtSSahhtJ/GZDig7mliYqJUKm1vb3vxpM4XFxeNRgMJ\nE0KYm5s7PT29vLyMG1FN5bI8yZ4ZeOnUSqWSfWaTk5Ne1fX1dbfbLZVKGNhoPZ6ZmTk9PQUC\n3N7eLi0tGb2jIsQ6ymjkcm6FNkMhmXzPzs4UrOiE1ZMeHBx4m2Koc7kchMG7OD8/7/V6NNU4\nIh5ekzX2A+dwdHS0trbmVCNkIKp3d3fuHPl8Hi9hBDbSil/9hF/pETnGnd3IHS9fvqxUKroz\n32m1YG9vz+SFQ3BAx63UASQdHh5q6BTN9DB1XR/noTQjIQRW/KmpKb0kmoJUVSOZzWb39/dX\nV1fB/81m0/6X2DugZZVaZcXQ9PDwEJGv+fl5a7y9WrZ2YpFcLrezs7O0tMT6DnlM/WazjIER\n8McuJrJYK6T06G3NieZBewjz+bwgTP1XpVKZmJjAXLdarWKxSAysZNDZka3NzMxQk5yenjq3\nyFOr2szmvLpOQq/XI2qDeCKFcRq8ZXEjUjabxYYnk8nT01OzsBuGYh1CiPsP//a3v21vb+Nw\nMK3JZFJxVFsZh0MIoFvbfMLQyKFAexmfffbZWHoyLnYjdzx//vzw8HAwTDY3bbnG6BuI/o1X\nClMmk9nb21tdXQ0hxH4khKD1AKJ//PgxGgw8kalT4CWYH8dXrVaZsehOAEOuGXtpp6amhGrA\nyGlc4toEZs+bm5uZmRmLxMDzXKVejHhk9YXAJZfL0RWqj96yLLzLy0vW18FgIKEE1BUFHFJ5\nPWkikRB0urCwYI8P9FOrhXygRux0OrS4ttjk83nx92Cy+/v7k5MT3CvXsDsNAA5llB4m8Rmi\nQwjaWGAiPIEKT/iV2kQKLstE64dM0GJzmAhuKRQKEEw5pp1O59mzZxSRwE297fX1tZODv/ZS\nwZrk2b1e79GjR2OCYlzsRu54+/btx48frc4yOmnEut1uZCdNLv1+v1qtoj4l+t4Pl8Mb0KLf\nQE9ETWLMARVdX1/bh2184/ei2gfVHR4eFovFWq2mSJFreEBEoeucvsH1aabW1sW0JRWhVqvV\n63WUi/1YhjUApYC2dDrdbrd5eBcXFyGPzgzYLoSg0h0fH0ftiCJljhsMBvV6nVZZrB5lH7+q\nPCUyDnmfbhtqvcU0FMJKIap6bW3t8PCQ+Fl6lXnT2bi4uKhUKswkzqRAfNUtLrUwzovVI5qB\nx5lSvUI5BVyuTqwq5lSHEKK97OLigmy4UCh4BAgGlY/7weTkZLPZ7PV6X3755bjYjYvdyB3f\nfvvt3t6e6Q+u5JpJJpOCHkWA3NzcAOxo3IBiJhd9mTbt+PiYJAVQPT8/b5GoVEjZv2xb0h9d\nMIuLi7hg6I+WxxOpUJ1OB+R0f38v3TOEYGhSoFnr6cXsnfAs3Gb39/eaKawCIgL5SMiiu1GO\nd3Z2qtWqxV1mN1kvMzMzcam2ZlCDKaypVqttbm6iWWGgaFADstwEucdGfsKX09NTkcIPww3l\n1WrV5Ptv//Zvf/rTnzRTqGGtk6KpNqFZsNj0QN4a9I1cRpsctSw+F10eXU4Yhi3f39///PPP\nPr74smu1mmiTTCZDCejByVYwG+l02jYfLeTMzMza2to49WRc7Ebu+PHHHw8ODk5OToRWshZJ\nTFpZWRHJTW7GHgDCI2fF90GUoH7T09PwOM3IYDAQdYcBBDDlcjk5Hy9fvvzss89i+JqxiDUd\neP/hwweNklV+Kp2OCTg1PVxojTklTMFIFAoFAyyISkRoNpuldEGMquPWd+3v78tBmpmZwc/q\nbiiKLy4uVlZWLHZgYtPiqUEhhBiJ7sWjmz3vzc0NwSAnltKPPYhJ99ouofN+59mzZ1JOpTl5\nbehpiKH5VP0NIaAFWq3WX//616dPn0ZdpImbXIbvBRzRG+4FrtVqwmN8OqVSSYvX7/fF30cj\nCmSDqHtycrLb7Xr9Qv1CCFdXV2jrJ0+efPXVV5/yaz0Cx5iNHbmDWOSLL74wXuHULAwk+ECe\nyrO0wgZCR2pAQqFrw0tubGxYSEabtrq6mkgk3PZvbm6azSYz1u3t7TfffENkq7fq9XobGxv5\nfD6fz9v18/nnny8uLgqt43mYn59HVrDE39zcnJ6eRjXczz//jGoULn9/f7+5udnr9VCfwEEy\njlQqlc/nVWQTsZVdCBBu37ggYnJycmtrS6pou912YZvgtDwCmSk2EAsQPZU0k8m0Wi2/XKvV\n5ufnz87OOp2ONFNMKEJZRcN7aJ8RQbEDBd6pfTE56uDgIIpsyuXy//gf/wMWubS0xMvhbQpl\nQFk0Gg23KJ9XJpOxsA3zLpggOoKF38md39vbiw4WIdW+DBDAfr+vRiMu/s6PcWc3cgc2dmpq\nan5+nuRCF2ajWLRMmSvn5ubMQfxkUC0dEI0reV20aunLMplMs9kk/uDHarVaGxsbGEPYnCtw\nMBi8e/fOOisQu0TP6CsIIbA3GcGOj4+FAtjl2Ov17Nkhbb2/vz84OIC72xaI8FW2ItQIKdM0\nEcrSvvHtS5cSMW8E1lFOTU21Wq3Nzc1Op1OpVMSa4w3iZOf8qK2SEZRR3aXlsJgKJ9xZIgCi\nxE4kEs1mUxdJCqeu+eyazSaTn6wq1HYikSDJRrAgdtxUxEypmxb0uFf5D+VM2wvTlOgV53Hv\n9+LiIp/PW9h4dnZGsRw/KS9yYmLin//5nz/Zd3o0jnGxG7nj9evX1WoV2uUaAG/L0gghKFiI\nQiBaDFbTf8F07JSQ+5ZIJFRDHd/+/n5MsoVtS6/zpKok9G16enp9fd082O/3CTK63a7QASyn\n6Ym5IpPJGOusFjTDsnligYvFoo5ycXFxf39f9xrfowAl2hFjIBoknU7DIj2FtnFqamp2dlYJ\nFtPiTyD63hqzR2w8+eEo3ZSMEAIJG0Eyz4MZVtFXXMy5amLcg6F00nnQQgMZYx6MQIG7u7tC\noXB+fh7DYzSb5CZ3d3c2H1kIy57hI9bNYbQzmUy325Vqh6afnp7+4Ycf8vm8e4bfETNj0sex\nmAD+/Oc/j4MAxmPsyB06GgQomyehhj7OPKKZgq/rBYyoLicBRLoAHgmCFTd8DzsYDIrFIky9\nWCyCySDuxWLRHEoO5gJjsZycnMT/UkLwctA9hBBszrZZUfe0u7srZDSXyx0dHbXbbRsbdEPE\nKJ1OhyB2bm6uXC6rg+iXVCqFOfGWxS5R3i4vL3vL6XT6+PhY4qa4Oib/m5ubfD7vZWAnnJOJ\niQmxenhYk+P09DToU93HFeAinLRkMkk4DZVLJBLVajVaR3Cmh4eHSF5nQ3E08Ha7XU2c4KbL\ny8t2u31ycsKli7kmqbFALoTAWZxKpdbW1sAOohbUQRl8//Iv/8KHB5vT8BrMkbC1Wi2GuHy6\nb/SoHOPObuSOb7/9tlqtUsnPzMyIzDRIgrc4h/RrGIypqamrq6u5uTlVrFqtSlszh/b7fRsV\nQgi6NmsJjYTRaRS3K4j/pGLh4hgMM3gVXD9kpRIWoB8U9AQ3pO8Xxmekknd0fHxMA0Erq68x\n4Ro5jXUhBGVlfn7+zZs3jx49evXqFdcBx4IWL5PJtNttQpmCHkeUAAAgAElEQVRsNksT55UM\nBoMXL16o7ATVOjhaxb29vUQiIerOn8QUpmw2y/NL+WyE1DotLi7yOYAaIXRuJM1mk+wurhDT\nHjoVXqSHklBAjVgul/f29vTFnhrxjVifmJg4Ojr6+PEjw5npnlrFqBtCACZUq1Wx+GGYbzg1\nPKQb5HK5P//5z5/wWz0Kx7jYjdzx/v37X3/9tdfrlctlQBWIja44hAAX03lhJ1y3MHUDmqnq\n5uZmeXmZyIPV34pochajUIwwAiFFQyjn+eHhoekshi9pZ+Bc6ku9Xu90Ojb+nJ+fA92hWoQX\nkqk0oWLpYHyqSaFQQD2rGtFUYH9QIpGwzmZ5ednzehZtl5TmYrEYQmDCjSmbMH5jLDKaqkMO\nwszMTKlUCiHc3t4iFnq9HtkwaB8Mp2iy00YfKzMD/xmRo9nW6K2lQq3kcrnMMOT5/fv3GmQS\nbuCaM2AwR8vS0OEcUMzFYpEACOstIAv44Pzr8cvlctxayzWYTqeV5n6///jx4z/84Q+f8Fs9\nCse42I3c8csvv7B8keALR0IvUGPk8/larcYAL4QjmpkoctkDDLM2dUkk1k1o5Thbaf1daTH+\nTJ6Snkgr8fDwIJYOxbG3twfM0gZubGzEoqBOuTIp8qKFw4Vt/aMNZyEEHdnk5CQBoHd0d3fn\n5b1//35ra8tF3u/3I6SIUbV4yIjXbDbn5uZEB/PYewFmVUoasXHHx8fAxDilcjuohtI0QZ8a\nrtPT02QyaeQ31Ot/mcywK91uV+pUCEEJAzhoCblx7b64vr5WeS8vL8kDiWPshHUP4KbQt3oL\nRmOEgw4O39Jut0MI7iVuhE6ORFUbOBHQ5XJ5rLMbY3Yjd7jSMplMJCjJiScmJp4+fWo4irZz\n9CVs3tUVQmg2mxMTEy9evGCizGQyq6ur8/Pz2i4BKiSpiAudzsrKisJKEkwW5ykymYxVh61W\n6/DwMEaBo4mbzSYpnw6Rp8qUzXpl2asLeHl52ctLDfel3g8XXYvrmJycFK7Z7XZ///vf25jh\nYgZfTkxMALzy+bxw8xCCGTlGvZs6lex4tFotyhsQHhWx0uw0EidCSA2/nU5nc3NTjtaHDx8G\nvwkfrlQqogpubm42NzeRRSGETqezu7tLHuhsc/vGiZJsW0GkHFJPY1gL01u73VZPOUNAeCpd\nTCcMIfh60And399TpZDjNBqNfD5Pikh7+Hd+jDu7kTvsP4ZkkcWDxhSLo6MjkXaSKd3VaUop\n2ubn511grgrwjYWwEL3oOvJrJycnspjS6TTZStwyQzmho0FcZLNZ9q9+vw9rZ/JfXFz0mKAu\nU+H5+TlKwUOpfVEc0x+uZ9UtmnwpWoCDg8FgdnbWswtc8goZyCxdZM8KIbi2l5eXnSjq3xCC\nqgcH9NpsejSWUslBx4iQVXZngAT65OQkhMBFlx7uzanVav1+3/4dz1ir1RQgMSqmS3Wq2+3q\nry8vLzPDbFTKHuSsT0QJdgYIwu2g4MqwCcQfuvkxuhwcHCQSiXw+b+4GBWil3TmsLnr69Ok4\nCGDc2Y3cQdJ1c3Ozu7urcEjfjplx1LkuSwZJExl8Su1gU8fGMoT2er3d3d3JyUnoOwWfupDL\n5cSXaxYODw9DCN9//z2xrr5gcnLy+Pg4m80+fvxYqyK/JIRgBYyrtNPpDAYDUcZ+J1bMEIKc\nUZ2UaVqxvry8vLi4ePfunStZ0IBFZVha2hesyG/3qwpQEebMVxt7YdraEIIyBKl8eHgolUq2\nbnsXZ2dn7XbbfUKloN3Fz8zPzz99+nRhYcEG7rdv3x4eHs7Ozj5+/PjJkydv3741nkMbOD10\n0NfX17LaQwiTk5NLS0tuQno0p532G+QqW7/b7Qp3yeVyc3NzLLpcKOVymWMkNdzVS120tbXl\n+4BM7/f73W63WCzCcHXE/Cef6Os8Qse42I3cYV5bWlpaX18PIZCtGu7q9fra2lq5XAYVsUnp\nXKA5YC8Fjpkc4oPsW1lZCSHQ4nIj2K8orbfb7YoAWVpaYiyt1WqaHZVibW2N1+ro6Gh6enpp\naSmKXcFD1Wp1cXFRK2e9dCKRODo6wp/s7e1xg7l69/f3MQyJROLs7KxSqXzxxReNRqPb7e7u\n7i4vL2N+E4lEvV6HOar1Kysrhr4QgpLEWMplFXvSKLGmPnE/cCcAAtDHee8MvMZ5TmQAKDlI\nBAqKxSIwTuj8ysoK1d79/T3BM17bXcdW3HK5vLy87JNS4NLp9Pn5OU8uotxrBinKiVIWDb9v\n3ryBJ2Ie0BdeqlZxY2Pj3bt3RMU7OztUMlFJ46/ux6sUx2PsCB4//fTT7u6uYcTGHPOXC1hP\nJ31ESJELuDdckaODmJqayufz0n5wc2pWXNkXQkAdSJEaDAYEDUwLJlZNilJrghOuu7q6apxk\nz5DCAuYH4bNV4RBKpZIqY2OZJQ8//PDD06dPW62WZtNYqsTweF1fX1uXA6VCKWCfGbP4B+Iw\ne3t7+9lnn4UQ5LvJSqLdoUz2xonaHEyvIPxut8tHTIwSfy0mLMUEBNyC5+VENora8cY5i+Dm\nBjPs0znDVTW2YagcnJ+fp4+zKtNjEuip0ZZdqLlRZOfjmJ+f73a70AniQfWRdVqN9ptbW1vj\n1JNxsRu545dffqlUKnxUq6urrgTVijZiamoKERkBOxCV9iFucmm328ZMddMkK6SIwfPw8BBe\nLohJ1IdaI9cEI8lWBeyrVCoGIkyiflOLh6s1TV9dXV1eXmqOsARzc3PWOCwsLDQaje3tbQlI\nS0tL5DIwsrhEtdVqff7550qtpubk5ASFqnidnZ2tra1xmBDoaLg8iHet9KhcZ2dn9NhspBaD\nmdCTw525YvWMfgooaTGsEPr5MNyNjRc2ZRO72YkjaARjgNkQW+LPQwgXFxeRNdbz4iLK5XII\nAQNu/xEbmfCFRqOB8qadtKg7nU57djaSWNqi0hjxnUqllpaW/vSnP326L/VIHOMxduQOMi44\nVK1Wa7fbMzMze3t7MkgODw+FFYP2HVb2tVotqjqhICQOIYRUKqWa3N/fb2xsUB0bf+g/GO/7\nw/1bg2Eymoh2EWy9Xu+nn36i11NHaPQeP37cbDatFjw4OEilUiT7a2trpC2iRNC+LuOtra1S\nqcTSND09XS6XXfwGuhBCr9d7/PgxpYWFNcC16B6dmppaXl6GqaXT6e3t7cFwia31r8p9bId1\nmoVC4fDwMJvNqhf2gWWHmwnv7u5OTk7MticnJ/z2rVYLRatpvb6+rlarAAShe6b4+/v7/f19\nYJ+tQPSATlS1WvVc5+fnP/zwgzsKKx672Pr6Osk3haCpVhOdyWS2trby+bzAG9gl1nt9fR1i\nEEJYX1/PZrPo3TAMLsaceArfhL/zY9zZjdzx7bff2hRh2CGL13/pLGBwCDjSf4ye4La1tTWX\ntyuB6pXTE7CF3Iy6/3w+/9133/3ud79TRODlqo+8PFUmkUh8+eWXOjiPrBlEKZivNzc3m82m\nydF8ihPs9XrHx8fLy8v6KZXReNvpdMJQDxwVf17q8fExnlTn8uzZM/phuo1+vy9WgL5aiNP5\n+bmhEjlwenoqo8W/NpvN7e1ts60ueGtrS+Qf68Xm5qalP+IVVH8lLJPJUMb4JzoVOOlvDXka\nZ12w+hI/HU5bcYSyApEY8pNxNWZtw76+jF9YDygxxffBa0sPF2LIqrLPDACay+W63W5caPnl\nl1+O2dhxsRu5Y3d3d2dnx0WOyqSM5WfyXY+5dZojJU/XE+Oe0ul0pVJ5/fr15uZmbNZk/IYQ\nBAeJk3r27Nnd3V2j0bi8vHQVmTGvrq6YPQuFguHRGlloPcoC60fB3+v1tCRYDiO22VCxYObf\n2NgAQlnwDI1ijzs9PQUggucYS5k9ou0fBBZCSCQSGxsbDw8PzWbTGGtaZ0Q1Y2pLiQ2pW+g8\nlOmrqyvlCdymiQYOAsiij7jRaKj4Wmka77dv3xaLRcYJ2kDim2w2u7e3J9dPcUT+4HZwQUtL\nS3awoUQETE1NTVmidH9/jxuZHB4oFMrquPojNrDUlxrJmZmZ7e1tS4impqaKxWIqldrY2Bhj\nduMxdhQP6Lv/CCEgWIHlZ2dnt7e3Mn5lVf7yyy9YCEC+Vst0s7Gx8ac//QniBp/S+3z48IET\ng3LYyp5CocCsGtHAiYmJlZUVAJn1PdPT016MzDj7E2JeruCN6+vrYrEo35wvAtau6VhZWbm7\nu/v48SNBjHEyhEBKxlKWSCTsD1Pger2ep9AGeiNnZ2fW35ydnS0tLanytoKJKS8UCsICNjc3\nFVBY5OHh4W/lLCEEwfT+AynhVLtDQAnev38v9mp3d/fs7Mw8++jRI13q7e0tUQhLiTCo+fn5\nYrHYarXQQe5JKysr0gOvrq7evn1rz0b0t3z8+HF+fj6Xy0lGQODqfyXBSJYmAyTGhFSqpKiM\ndrst+jCXy8l0wBR9ou/yCB3jzm7kjpcvX75//57+QDbR9PT0zs5OuVwG/LPxw4ZCCHHdgUph\nouFyBY272LCB09PTu7u7W1tb/qTX6x0eHiaTSToJ4BRffQiBNgIYLwiEgcEehpubG8wJbI6o\nIgzlyi5LwPlgMJibm7NDAxEhYIoJTDckhmBlZUWXJ7lgdnZWUgCZrow/4ypbm67HRG+2lW5C\nAaMjVrwEjUxOTmohgVlOoGpLtyihxEuN42Eymfziiy+mp6cPDw83NzfNsFpCum5CFuADuYyV\n4WKvFFkono+V2NAQDQRYWFi4vLwslUroJgF/u7u7CwsLfCby6weDAZQAdVMsFtVE6QwIDZ01\nPqTRaIgCe/bs2bizGxe7kTtev35dq9Us1rFGh3lLURAn12q1dD2APF9xYJZRi10hlUq9fv3a\nUrFer9dut2dnZ2Hhph4NyMRwsSGpqnzKxcVF5VK3kkqlarUaKMrV1e12y+VyzNdVIDRExis4\no6uOEphvnyrF5lktIX1vGNKIfPWoA8FNYTi5a2BtO6QIAYFpkYTL64KRLShmbZ0CBPhnpDcw\nqjXpdNov26ZG3ugT0dv6NfCcxHnLIbHVxm0MDKzg119/nZ2dtSoXoaz4xiAWlZQUzmkHjyJD\nZmdnl5eXeZy5L6jzyI/n5uaOjo4Gg0Gr1RIVQWGufUZ99Pv9YrG4t7e3sLDw+PHjcZ7deIwd\nxWN6epp1XNJGCAHIlUqlXr58yZduAuUf+G0HR+SVTCaJsJ49e0Z+RUxbr9fVC1EieL2YqlSv\n1+l1Fc25uTlx8KJ6i8UiYlSjZPVXq9UigFCwJLbjE+1waLfbFqTS7g4GAxQwgZgyure3d3d3\nB5PCDBDfiUKJmlvqlnQ6TQ5tdSR9TAhhYWHh97//PZeV+iK/hK9OoFu5XF5YWCiXy+vr67Oz\ns4uLixKJ1ce74arp8/NznCzo04NTaEsZ8K7dXch3Y6wTiWKv1/tP/+k/TU1Nra2thaEc+u3b\ntyEEqQdAumaziUwQXOgmAU5VQC23pa82/5qRj46OBPRvbGww+bbbbbdGEmu3kLOzs88//1zM\n6if6Lo/QMe7sRu548eLFyckJxtMF5uavqxJvCR2LJkoXoURM853hd35+Xu9grqTUM9dEiAec\nZ/jKZrOLi4tv376130/ymiFXVyJGTRGhqGDUJXNVJSnLfkuGyOldXFz88OEDHG1qaqrZbK6u\nrjIMlMtlNIX8InNiGHKO/E9qUKyVXgw18uXlZSKRcD2zbak7/vzu7g4lyrvKGWY2FELnl22A\n9DvEwLSKimA2m63X6+/evVtaWor4VzKZrNfraiV0VUuYGMbKsxLzDu/s7HjvbB5SbSYmJgqF\nQqfTEdVVKpUSiUQ0FJt5BY7ifDyyB4/grGeHYyCXRO2jSmgGx6knIYTE2DQ3asf//t//+9tv\nv6UaAd+EEAxB98MtMOA8DGmciVyrZj0tW2KYUW6mCyGAyTqdztbWltA3oUYuaeatuLpFTyTz\nXQWxKdX1Yysrw6mL075UJDJ9RrPZRI9yrYcQOBOAcRooZItBG/SuuCivrVZLQTQt0rIcHh5O\nTEysrq4icxuNhjH8/PzcY6rd33///ebmpp01qrATNTc312q19LAqtQ4OfIbxsCzCC0ZzqyA2\nK7JJ+Cv/mkgkWq1W7Jd9lJYcRXWOj8PHGrflgh1s0vEpdDodSevRyMEICIWEBkAe3VeYZH0r\n/JWXLVKFK/mbb7757//9v3+ib/SoHOPObuSOly9f/vTTT/IqoqGS0jiEQB0Snep0pFdXV6oh\nTD2EQFQcQkin0+hCRtQQQoxF05ioJlwHJGOK18TEhJC1w8NDK3LM1P1+33wqfy267l2Qll1R\nisDUDg4Otre3e72eudXF2e12X79+vb29rcU7OzszDDYajSiOVc0VuBCCSqHic+YOBoP4Ai4u\nLq6vr1+/fl0ul9++fetNiS0xAHqFYlq0ganhxkW7KfRHkR2+vLysVCrz8/PqcqVSEY8MTDg/\nP9dqxcFf2YIhdDqd09NTtwRT/4cPHyB63W4X4RP9qiovIWS8afHD+XO9oR4tbhbX7GtmW60W\nmUvUS9NyuzMp1qVSaYzZjYvdyB0//PADDYQkS8BzGJY59SidTosqYt3/6aefcAUyM+wzlAMO\nkmdXoP9aXFw8OjrCWlgr4XmZH3QoNzc32jT6jCiFAYfp+A4ODsyzMclOBbHyladtYmKiVCpp\nQ+bm5vAVXv/6+vrEMMxdlglRIdDKpRuG61/VBf2UWgDKDCGcn5/XajV+L++R9FfPtbS0FLOh\npqamdJduFeyuqF6VFOGAYwHSobxN94S+zWbTLLywsCD+Xi02MutqWeW63S6eJ4TQbDYl+pE0\n6x91bXJr+sOlcTE1ut1u7+zs2BLrtsdUI+NEW0d7RHrd7/d5V6gdtfxx5ePW1tbvfve7T/Bt\nHqVjTFCM3JFKpVCx6WECuMk04mWZTObly5erq6vn5+cukj/84Q9aEvNjCMFGwfPzc8WLFuHy\n8nJtbU1vQuKg9JCGnZ+f21AzNzcHI+N8SKVSrv+Liwvyl5OTk0wm891338UNfuB2LGq3211c\nXBSZK+Hj/v5e96R2ZDIZtAOmEjynvNJwaCrNfZqmOBv2+/3T01M3g9vb2729PTpkLS1XRtzw\n4Mp30qanp50BmJ2eUfZ9tVo1tEoAjOeQdtqMbwFQNpuFEpqaZSUYohEaHKlULI1Gg6MrkUis\nr69rEiWqkwSq5hSOGmGTO2RpZmbmyy+/VLYqlQreXI6pkCjqPB+ZKRiw62wrkfQ99/f3e3t7\nn+wLPTLHuNiN3CHmDNNqrGMn+vDhg5H28vLy97///cXFRa/Xu7i4iIWg0WhArCP0rq3A7QrC\ndJ3rWcBAMLjUcN+ga0MIaCqVevLkCVVXv9+36nRubk5E0v/8n/9TJ0JsYVsNEYwdsrVazbR7\ncXEhi5hvAf8AKzSX0fRG94K/AkJJqby5udnf3+efU3FOT09rtZoht91u39zcVCqVSqXC5sFk\n6hn1gJVKheyDDlkrR46Tz+elzHc6nePjY+3z//k//4foR/tp6lTULPB2NyIwNvMWCoV6vU6K\nfHNzY+majq/Var179w6HY5ZXdh+Gh5GTgSy2hwgZWm5wHprl/v6egI4MiN5QVx6JEUUWAJrJ\nZETC/J0f42I3cocWyXUO4SJJ29raijI6F9jGxoYgDTANzEgPBdSP3gBrVU9PT6O4V6ej+TKN\naliIHui8Hh4ednd36/U6Hczy8nK9XlcZqU9QkDS9lCjsWSxNc3NzqgDat1arGf3iQNdsNjc3\nN0MIWrn7+/tKpbK/v68cgPyWlpbQzVZM7O3tYS3y+TwzltlTi+r/zs7OGuiMh/JFKLHRo1wZ\nkMdWq3V6ekqcbL8XoubZs2fiFfSVyWRSS0iF51nYeFHVIljE8HkL5scw3C705z//2TyuCSUJ\njGtq9emqf7fbPTg4oDdsNBpi3631QNo64VRBKpqV4YBLNzx3l7u7u3fv3nEHf8rv9GgcY8xu\n5A5LsuUvRjmuHo0l0zUjUwgt8Ne//nVtbU0Ih85OCYOI00O4/NQpv6O9EgdAWoHEEJPHIsYi\nGgW0Yaj75VKKA2Mmk6lUKhqQ+fl5HVwEzgyty8vLJlym1BACXhIxaj9hKpVyVYMs7T+Fx6vI\nU1NTtVrt7OyM5CWTyZycnPB+YWZTqdTp6Sk4X4XN5/OTk5MHBwdRXqNk0N8UCgV7u+NCDwpe\nE3HsQxEIbhWc+ao5/ePz58/9qxytUqmkqEVXSRTTYEjU8cvLS59Op9NpNpvRGAcB8H9vb2+X\nl5elQtTrdTpnH5BbgnoHk6UWVNDv7u4eHh7m5+cfP36cSqXW1ta++uqrT/m1HoFj3NmN3AGG\n055YH2Vs8W1ut9s2csHIBX9/9dVX9ul9/PiR+1VXaMrb398XCsBlyTAfQkDm0sHe3t6urKzI\nFNnc3IxuB7RsCMGlxSNhO5/mS+NzdnZWKBSiIlekqGRQEb66UXN0vV5XFPxcSF86nV5YWDg7\nO4v7KJQkSsNms9nv96vVKtuGpKnb21vUhGENVvXu3TsQmPOwvr6uKZNt5b33+32uuKmpKcT0\n9fX1+fk57gVb3e12FXdnCaoQUTxl3drsqampb775Bthnn2y32725uVlaWjLDqrkhhF6vx1DM\nDMe7Sl5HqRNb4Gw2e3R0NDU1VSgU4n7rjY0NZxXg6FMeDAZswt1uN5/PG4qN0qxspIIPw5D6\nv+dj3NmN3PG3v/2tVqsZNrksU8ONsd1u1/oocUPcRVoYkZmc8No3rlIBG/f39+VymcC4Wq2W\ny+WLiwsKrEQiYZmp/dlRbYf+o01lOJ+ZmbG/gg8Jt6AlMZbqJrLDGHRlqz/MVUZWZofLp5VL\nr5BJS1/DhP/w8LC8vAyZ0sqhTa6vr/v9/vv377niccHWrZmXiS0EkNiVE0mDmJ+czWZB/nNz\nc4QyAqZkrJMl09CdnJwgeWOMCnBAbwU9gHv2+32bsIngZmdnj46ONHFRpuNfyUQksnABuyWw\nqYQQVlZWbm9vbb0QvSn8WQucTqelQtmv5gFZCTWP8rLcJ2q1mof97LPPxp3duNiN3PHixQu+\notPTU+xnvV6fnJz8+eefy+WyL7TOi7pVlsbFxQWgSrguNlD0hWL39u1bM452zwx1dnZWLBaJ\nS7Qh9GKDwaBQKGg01D7Ls5EGdCF3d3f7+/srKyugQMOmt2AABK4pfLLVbNLBqGhX+ToJ61QN\n/g3Nkem72+1mMpl8Pn90dFQoFB4eHrxfoSkx7k0MDA8JPcfk5GS9XiccUXeIWkS2SFW4u7ur\nVqunp6d4m4g50vHlcjkcUdzQSpCoIocQZmZmGo0GFsV5zmaz4pUYIeB9QlxiDvPKygrEAPVB\n2WdSNvxOTU1Vq9UwJHzJkicmJprNJmXfwsICCih6V9iBJycn2+02jMI5UayXl5fHDopxsRu5\n4/3797u7u51O59mzZ9A3qlFeTt9gI6TRyaq92dnZ9+/fb2xskJUmk8l8Pi8gZG9vb3NzM5fL\n9Xo9CZ2GoEwmUywWufEB/PrHKDqjgHnz5s3a2ppnxIGQaFxfX7u8TU+u5FwuJ3i92WyS9Zra\nJiYmYkOKfjEYmj1d3rhgrzDa46LtDDoWeWRdldph1KUs88p1PWbk6+tru37EJQk+oPBQ+gGF\nfoFXd35+/ujoSKXQ/+pMsT3YifRwqSttYLFYRKRSO94P4+BJgsvlspMM38R3M375iD2R0BQq\nn0wmw7sikF3jLJ9OJr6MBkJIHx/qw2dkIKhUKrrUra2tcbEbF7uRO77//vtKpcKxlEqlxGGe\nnJysra1FGUQIQRdmQJudnT09Pd3Y2BAY5/auEExPTy8vLx8cHPT7/aWlpaOjI+2JLgASp9Ui\n8dcUoH2z2Wyr1fryyy/5zKlhE8ONYlbJxKxNFcdQZtfEX/7yl2KxmMvllAa0hq4EhNTv9+Ff\n0udJz4zhxC6qALIFcYmCuL29FQV6dnZmuWoIQTPoXUQEcHp6+s2bN998881gmDkc0wpsjFTF\n9H3VanVlZUVZoXMm+mm1WouLi9Q8Egrwv8ZwYu/IF5MN3w23ss3NzRUKBXFPajTfvkUW3W7X\n+h5KYDGlh4eHMQTUpkebOrAi3lfsoy2rdMNDKBGcz8zM1Ot1S4UmJydXV1f/8Ic/fNLv9ac/\nxsVu5I4ff/zx7du3Rj8COuakhYUFZnVIU7wIuSYymYzdiZAdcQB4usvLy2KxGAOdIsSuk+r3\n+8hBfZzEdiLVu7s7vnf+AaXN5URYF5PyXr16JebTCGlL1sbGBsRNA4VZRtGCAumN+a50mq5/\n17nODqvgXWhIFRH4oLHa/8qSqtfrZ2dnEMAQAqWuN/gwjIrzH/jTWIXhoWbt7777bnt7m6VB\nWIuSgSJHyND0ptNpmxLRr51O5+LiwjKgqNxGyPZ6vej0ovjVms3MzBwcHJRKpQj/aQmZmqvV\n6hdffCEX/uzszOYNnhMt4Zs3b+xFe/PmDRfN7XDtTmq4bTKdTj969GiM2Y2L3cgdb9++PTg4\nIGebmJg4OTlJJBLz8/O6EqYuExlOUHL6/f29kcdWw2q1amEz9L1SqZRKJVI7I0/sU1xIQHQo\nUvQ8UJzwq5ET83KJwITocRfEnM4QAqdELpeTMB5CsExH8In20F81m81iscgVK6tKYGdslExz\nQKjBYDA7O4tY4OqFNnKDxWi5UqkEmmw2m85hvV6X227NkGpljE0mkxBMtjkluNPp4HAVROQA\nxkYLRr6r3PBXaBUN0XS/Dw8PhHI2t+EQdnd348Y1xq+ZmZk3b944CTGNDlVC0zM5Oamnk7Cg\n5tbr9RhPIFP+/Pz8888/BzXGnOqPHz/e3t5CKiYmJv75n//5036xP/kxlp6M3GFQtS+VTtWk\niXoLIbA3kINB9xWmfr9fLpeJUcScoSxEvyEZGL88OMWyq9G8Rn8XJ1mz1e3t7fHxcafT+fjx\nY6VSodej3WcyUxCpOvb3973Cdru9PDyq1ar9WObfq7fzTEgAACAASURBVKsrLd7a2hrc7ejo\niHSOa7XX63GDmpoBVeVy+c2bN0tLSwKZqU/QwaZdLZjGTZuWGm4g2tjYwNUwC4O0stmsds/j\nRHaFKkUIs+fSqDJsmP212BS8GE90kCwpohC/dnJyAoMzWdNOgxHy+TyteCqVol6WLRxVLN99\n952RPC5dIkvCxjabTegnYl1B3N3dJY2W0/fkyRMO3GKx+Om+0aNyjDu7kTtev3799u1bsL3S\nE0LwbY7yYGiU8CLrX9U4d3vQXgihUqnQMbDTT0xMTE1NxeaCUuz8/JxnE1qkccOBIDRSqVSp\nVNL1lMvlh4eHk5MToyhXFikZLzqEsd/vS8R78+ZNCMH61PPzc2lUspK63S57wN3dnRR10zeP\nFF6SdQQi2e/38/m8YTYGlpCk+EkcgWu1mro5OTlpu42RUBjU2tpapVIBDiqI+/v7LG56ZMkI\nFG2saUdHR+fn51tbW6Kl9G5uGL1eT1i8kHc9NQWJwBJhfCEEQep0iLpIRUqpDSFIkYL3HR8f\nr6+vr66uqn0+LIsiQwhWoQtWgHXIf240GoTN/HB+OYQwOzu7srLyj//4j5/i6zxCx7jYjdzx\n448/7uzsANoODg5cUVqDarXqusU/yP+wX8ZkdHBwICkzhJBKpba3txuNBvry9PTU+hXrI5hY\nNQ6YViG3WAI8QDabtYZRUUin0+/evQPb3d7empSRlTH80i4FnYghCy2gWwFXGWNlF/sht1mv\n1wMLTkxM0Aan02lrZZi9VDSYYwiBw18VU20N/pq+dDq9s7Mj3ylaHayOZeGQClOr1ebm5ubm\n5o6PjyEDYg5iA3VxcWHdjxfMeIdK9rnoaj98+LCysuLp5MqIDIjjp5MM8ZTf5/ag0Y5+Nezt\nkydPtNumfmI9hf7s7Gxzc9Os2u12C4XCYLgNzs1PWXSGsd7tdvurr74aY3bjYjdyx6tXr6I+\n1iJXynvBQaoGxQMUj4ifewEJIPkjhKA3Mf6Uy2WjWTKZlAugK5G7Cw0cDAaNRiOXy8V0jRid\nZPrjn6UWnp+f//nnn4vFIrYkJkHFzujq6gpziqAQ1CGIBfYUhgpYV7hWpVqtqqfatHw+f319\n3Wg0ooDWs/R6vXw+T6iRGS4nUpE9b1x7BpizbUdLyDtxeXm5v7+/urqKJMFxM1GcnJykUqnX\nr18/evQIvBiGISjaOn/uASlUyuWy1dQQw3w+32g0JAV4p+12m61NoB4GXDFSm1hK/OHl5aWH\nRYJrdQGUInD6w+26lC4S90IIy8vLsEvCaUssJycny+XyuLMbF7uRO7777rt/+7d/K5fLSszV\n1dXq6ip9CSepSNtIumklarUaFLzT6RidLIo2joUQ2OaZvSSmRNA9k8l8+PCB9pV0y5XpWdCI\nBkNllL0/k8lsbm5qc6JEVrdSq9WQxbonzCkbb9ywpQpTTugrQwiZTMZFrq8kHmTqkozEyAEl\nrFQqklr0VvHRVIRY2ROJxN7enmw+PSYaWn1nL2Xp1SWpWbxcuBpNHNOu+VeNVuJjD8Wy5nXi\nlJw6hINCzMtFNtRqtXhaYxInwofVH0j69OlT6mgjtkcQGV+tVil4AB3lcjmE8PHjxxggqH9M\nJBKnp6ePHj36p3/6p0/5tR6BY1zsRu54+fIl+oxAlIKh2WzqKVzYKoILfmtrS7FIJBLkxxsb\nGxhM5lZ/UiqVUI0uKk7y/nDBjU7QNvt0Og2Z0jlKgnJZMkUVCoVo1/cgIQRtoCFU47O5uYkj\npuajWEaDelWUt+qpkZZcBlcwNTUloDyEkEwmBQ0w83prxWIRj0zG4X/lIIERmRCSyaRlQDrc\nbDZ7fHysJyINURRiXFUul4uxzFR71HMPDw+np6dqKxYlhKDQuw1Eujz+EBAJRAPVeXdOpj7O\nYN5ut+/v71mGJyYm3r59WygUyuUy84xIqG63q9NnE9RCdjqdq6srYC4vnaKvhmJUUqnUP/zD\nP4zH2DEbO3IHVUFcCmPAWV5exlTap/fw8PD69eter7e6unp2dmZp6Q8//JDNZgfD9Tp0J4lE\ngkkT+KWuidDY39/XEFnuF7fkTE1NMX5Go5LsJlcyF6rMOJJXdIeidnt7a2Ccn58/Pz9XW+1s\n5YE1BaMstXtQSLMbGe3l5aUsvHw+f3V1BW5fX1+fmZmpVCrVatV5eBjuZFCYzIwx9YSCxLkK\nIbjs6/W64EzyPYUplUqBCOPuCw1mlPssLi4C4zY2NsrlMnCAxKfVap2cnAAuS6WS9CczOIrg\n4eGB8lH1IcfzmaKApqenP3z4gAViAmm321988UW/35eRJ4I4k8kIXtWhe+OELxsbG2poPp/f\n2NiIqynVd2dV0PTf+THu7Ebu2N3d3dnZYSSAXk1PT5un5ufnCfFd/BF6bzQahUJhe3vb9/vu\n7i5Gp7kOU8OITXEaz549MxtOTk6enp7SoGlzXCcxHiqEoIUUaelB8vn89PS02ZZlQuKTNdLM\nFeZZiSnsBJwb0UeBc1xZWVFh5ZsD46emplgChO7pwgTKwzElCRPcqGJepHlZf6pmhRDkOFkU\n60zOzc29ffv20aNH98PFNxooY6mAGRxLMpnk0OD8T6VSclWdYdiZhAXVGbuqg7u5uZFQoKyH\nEOCwnG3RDsxlgcdghjNoLy4u5vN5xBQ4wn3Fs3z48GF2dtatotFoXF1dmdOV1AiVwvKWlpaK\nxeKf//znT/itHoVjXOxG7vj3f//3ZrOpUaJKi9hTGHIOxGWuZ2g0VZ3eJJVK4Q042KWSaCjO\nz89ZHViOMpnM4uKiKZhE4/b29uPHj1NTU0gA17+fm6ll/2JUhWLadYAh5YdNJpOHh4cEZcwP\nWptcLhfL38TEhH3P/jWEIB3ASzWWGm+5d3ndj46OZJ8ggoGMExMTBMNEucZq4SIKq2kUc6pg\nLS8vm/J0guvr67A5lYIPhEjY5Gs6DiFAGCgWc7mck0+Ol06n6XiAgIo+9Zx+nFZGG4ui4evS\nfFUqFXcI9zOpM9PT04jgVCrlo/eaOYjhd/Tbll562dFv1+/3wbJPnjz5+uuvP+XXegSOcbEb\nueOXX3559+4dEJ0lS7HjpRfZZNV8xIl0GWRcLFadToc6wQ+1P5IgQwi/tY61220zkdF1cnIS\n/m1S085I0MPr6Tv8bYwVUu9ib0jOksvlMI9LS0vqSK1WE0pM2nJ9fR1CIDqp1+sxJiA1TIji\nh52amvptSNT9/b1aHKPbo6W/0WisrKxYLAuMExBvOVEmk3EXefHihSU7pMteJJSAGwG6R9mr\nIjuxzpWsdsigHgqC6Zdhc34BAmCqlRVItu3nhNC68ijn9jvyAnDNb968wcJjPBRflIWOb2dn\n59GjRzz/VEG3t7e7u7t4LVEIjx8//v3vf/9pv9if/BhjdiN3ZDIZSD/l6s3NDfT67u7u+fPn\npVLp4uLCPT+uywI/UaU2Gg2efz9pNpsYiWw2WygUdECgPXPu0tKSgmXK63a7HGaGXCOt4vXw\n8PD8+fN2uy0moNvtMp9DBmdnZwnW+E8ZRc2Aps7z83Mbvjmc9GuWwtCUeCVAPbK4mHJsbAwh\nCDo20TebzRACwxzyRLOjJ2VEvb29rVQqqVSKjM60SISB8/XadJ1zc3PWUCjiXiowlNpZkpW+\nTwetdb27uxOYHIPdj46OWCwWFhYuLi7U31wuB5QYDPdUOP+YJS2ezrTdbuNe/Pzm5qZarXY6\nHXGEh4eH4uar1aoc0EajgYS9vb1dWFi4vb394osvtNitVktQwvgYd3Yjd7x69er4+NgQ2u/3\nKacgaJubmxRY9GIuV3XB9gmWUhPfq1evlpaWSMPwA7qJxcVFeSrEGaB6QmV/S3MLXH/+/Pni\n4mK9Xochrq6u4oJJJRYWFkRx2HcDOGOBiBZU5ZLSVaNKXaHfoYYBXVUqFVI75G80ZsjdE3NE\nlgH+LxQKgpfJWYzwKqPuKYRwdHS0tbVlDDw8PCyXy+gaOphoPk0OY4cfHh5WV1cNoXd3d41G\nY2ZmhqPLIJkcLtIm6Lu9vS2VSgLTG40G9TWgTWenWROT12q17u/vj4+POduou/lDSKPhbldX\nV5gZTgnNuFtOvV5HKBUKBc2svUiyEiSdSHmQtGqz7fT09KNHj8ad3bjYjdzxl7/8RSKTb7Ph\niAwipmzS083Pzw8GA8sQ3L2bzSZB3M3Nzfb2toRhk+Pi4qLoNz9pNpvAOw0UUR50XJqIIuX/\nLi0tQayQlXgDWjOFEnfpVRlvAU8xUDPmeRDBqqraQJ2mvgk3yutGbRtCQNSk0+nT01MCtKmp\nqZcvX+oTPV2z2YT6mwHN/uyiSjM14sTEBMIUTRlCkLnCrDo/P0/GAQpEU+i/hNBQBevLGITd\nb7w8XIRuCxWLh3VjgBKgHdLptAWMskjhfYA8YBxMkwSSbaZYLO7v7/Pt+ohNrDhobl8YAjJk\nZ2dnbW2N9IcW8l/+5V8+5dd6BI5xsRu5Y3d3t1KpEJ1BhWy8dsUyfiM3Hx4exNsSWBj64vYJ\n1nfha5jBwWBQKBQSiUS9XgdO6blCCKlU6uTkRH4vMsE/iQlJJpNW2WNRudMGg8HJyQlcvNVq\nQZR0MRYDem0ezdQmJRjk5CUR2dbrde2q4q6bm52dZQg7PDxMpVKdTkcSFOSODqNareqw5ubm\n7Bu7vLwE6hHreQTV3yxvsq5UKsVisV6vO8lXV1eLi4uVSoX9VtMnRgGNA7OL3AUON4Sgx/QB\nkfKKaBYrn8vlogSy3W7DHH788ceNjY2ZmRktmP6XNMRPdnd3l5eXwQUhBGR3s9nk6p+YmJDV\nqrTFtT44eiDm2dmZnk4c6eTk5Ndffz3OsxtjdiN3aNZANqAoKWZXV1e7u7tiS7LZ7N7eHo+B\n+zawnzOU2evo6Ojh4eHo6EhocDqd3tjYsFnGr+l0VChtYz6fN4EqAeg/JRWkpfAhN+M6mMnJ\nSZlIWAvFIpPJFAqFuDBI6pzhK+brquPiT6JFRNOHgqRrWVtbW1hY4Hjl4cdv9vv91dVV3ZzA\nd45XoJVhNoRAXajgRq0J3clgMFhaWpJ/p4P+9ddfQwh3d3e9Xo8iJzaYd3d3tsQWCoVSqeST\nKhQKCwsLq6urxszr6+udnZ2JiQmZ7MQ6PseYKEWvc3V1pfrX6/WIMCj9jx8/pjpWxQqFQi6X\nm5mZ2d/fd2OTyS7c5fz8HAWBVwG8SmN2Y1tbW9Olfsrv9Ggc485u5I6ffvrp8PBQfNPExAQp\nhqFGA4Xyw5liUe2R0YPAsxcWFjCkaFA6FQEBxk8GW5mg/GFySsg4XF1YUR2iQe+33GtE3w4P\nD0FspjADNVjQgxu15JGkUqmffvopKv6MWrAz7rdOp5PJZC4vL5vNppAVBKiqYWhVPhRNlDS6\nGfLl6PV6LP0IZXOiOJZ2u310dCQ2BofAeYZAELXCEjsxMaG+468Hw6XXx8fHFDBwRt4GCEOp\nVNI88iwbdcNwxcTp6anUOTArHQmEgQtiZmZGD24gPTs7w4EUi8X4FNQzU1NTuHh0sMl6MBjs\n7e35IvmYcEdra2tjzG5c7Ebu+Pnnn7///nsmLVyqW7SeIp1OVyoVui0XkiogHNy0q7qhGkjP\n2O9VTLFOrhayDNl22INsNgsirFQqrBHT09N4TylSrnat0+npaaFQwK7q9ZAVnt30p0NRi4vF\nYjabNd/9+uuvT58+FV3H8S6fg6/A5rAQwvT0tO5PvguTvyKLt9X9eRb1ZX9/X43rdDr0zwyz\n8pqYRsQKMP8DLvP5/PHxcQghTqyIVKc6hGBjYTKZrFary8vL1MUxVUXfxzare72+vj49PRX9\n5PZDHmzANGjDCkB+7lLk2eIe3Hs6nU6pVPrXf/3XR48eXV5eAkndWkzNQAC3KHuRJIApnU7R\nWHoSxsVuBI//+3//b7vdtgrLXEmKwT6BA7XVgdNAd4MzNfjAjPzHq1evrJc1e4YQyLtsfggh\nRF6PMrnX69VqtXK57FInWlazer2exdWKHaxdOArOQVhbKpVCMmpb9Gvv379ntDLN8YEawNlm\nNSmEtRKJeVQRCDs7OzHNCfwX40V3d3fL5bIYOFtyELXmYjjmb0+veIJqtQpBA1yahfEAIQQi\nO2I3OakhBIZf/Z3HBOHt7OxgNjTag8HAfrJEIiF2BTVsBZriTnM3GAzMxQ8PD3t7e/xnIQTv\nS2tpL/j19fXnn3+u/MHplEs+E7CsDJXJycnDw8PFxUWTuzre6XQeP348XrgzLnYjdxwfH0Om\n+O0rlYo5BX4UI2dtGnVXB8brp/RcaIRer7exsWHXAZyeqQBD50JSrc7Pz7UDJC+4ghACvk+1\nNSN7HCWJH0Abkk6nT05OxOQRr3C5hhCMih5WMeV2oLDjMON1n56ellU1OztbrVblUCkiyOXo\nTDDge8vY4V6vJ/qYhc6NQdtlkePCwsLx8fHCwkKr1SqVSmxhONbBcHmNxxeoJWSFSpG82ZNm\nMhk5Wnge3WIikdCaWb3mhcWYPxuLWq3WysrK5eUlQkPIKKyzXC7LfIbKxRtANpu1Lk5Fc2/L\nZrMTExPC2Vk74iKkwWAgf99tDwYyOzv75MmTcWc3LnYjd/z1r3/d2dkxkkRremQwQWCSzWno\nDUqUaLjOy8tLrZyJ7O7ujvoXnYpPRFNqxzRf7GKoQ5EeIQSPSS8SqUwdjSRxFjRyh3w+H0Jg\nBeVL7ff7Eolt7+52u5wViUQC+RtCUMoVHe2J+mt5gljNGJrCLsJ9wRbWarUwIXDJV69eqZUK\nx/39fbVatQNI1e50OisrK3/729/kUymmqeHmIMoVJ0eJd9oVMh0f7W4IYXZ29j/+4z9WVlag\nq9Ax2U3uHFRB+rVyuRxfg7le4BXI0gfHbgFm1STiSWj3fMQ0zAwzNMwo7Pn5eb7jMMxSdZZy\nuVw6nd7a2hqnnoyL3cgdb968+eWXX0IIljwgSZvNJutrqVQy6+loHh4efv7559XVVfsJXTMy\n16A55Ah6HCoHQjm6VouizZJSnpQe8BnViF7MkMtWJVbTlR+X15DgAqGYQwVPAulQJRqu6PcY\nDAYuV+lVSq0JLtpCu92uN2uIIyjzQ0Rw3L+huJRKJRvRSAVj/iinB2jPgGlEtTVRIaNGpHq5\nG+6T1DrZsNFutxHBDw8Pu7u7eFinyP3D+nAfGf8Ju6vdiVBFIAB2WA+u0XZmooDOpyn2WThK\nIpHY2dkRWSoEFD4rOgGF0mw2fRPsb7SfpNVqffbZZ+PwzjEhPXIHTAfDWCwWzWi5XM4+w2Qy\nubKy0u12DaqDweDLL78UxokrfP/+PdPV2dlZuVyGNGlYzFaMrh8+fEAI8k5wtisKVGnaEIVp\neXlZA8gtb2VECCFaXEn2RbCJ8djb2/O8uhgLIjxCr9c7PT3FTtrMQOY2Nzf3v/7X/5IpUiqV\n3r17Z2CkVtOpmccnJycPDg7I0JaWluIrgRIqlNVqNXpLbG94GG78MtkRr/gPMhQCFD3U9PT0\n0dGR4RS3m8/nuWjNnowNZk9xxG4hul23FnRNCAG1DbZTcJn28d1uOXKcNGUKouGafc3befz4\nMWMJPWCj0UAN4ZQeHh5KpZKsGiIeehr19xN+pUfkGBe7kTuE05meOD3v7++thV9cXNzf3z8/\nP19eXlY7XIfRxHp1dVUsFkUPCb/UDZln6a0AZ9vb2/v7+ybEEAJtamq4QwdKFUJIpVIvX75k\nqud2SKVS+jWjpXHM6BoFENls9vHjx4yl/POpVGp2dvaXX37Rcq6trUGaeL8mJyfxnv/tv/23\nyHLY+f3kyRN66eiQb7fb5+fnjx49MskSGMoXOTs7s+Ln7u5ufX0dYxP3QiArgJK1Wq3VarXb\n7cPDw2QyeXp6ahi8u7sDlfKNqVnyjV+/ft3v94+Pj/HalG7ZbPbNmzdIDEVTeVWnBKKw6BKd\n7O3tyYPSKoYQDg4Ocrnczs7O9PS0rtz51+1eXl5KrLL5N5o6sNLb29tAWK1fMpkkro5Znu6I\navSn/E6PxjEeY0fu+PDhw87ODm0a6YAi9fDwIJssl8tVq9VisYhrU5UoY3ngJXeicWHVcUkN\ngwEbWbFYFESOG4VbQcc9nf7x0aNHGAkbEbVmwnKjxE+posbQkqTTaYFrhixlcXl5GefgZZg0\nFaOrqyuVZXFxEV0bk0j0a4lEwrIF5EZE9wyPxuS7u7vl5WWJbzpZU7YpNfawNCiqfAjh7u5u\na2ur0WiEEDjY2u22KXIwXM5Lx2NsRMjk83kCwBhSYsu42D4CF69BKwd1zefzWKZarUZ4XCqV\nWq0W3kn/hZp48eLF9PT05uYmcsOQG2NU1Fl3ESDg+fk5l9vs7Gyr1XIPoOM5Ojr65ptvxpjd\nuLMbucOoFe/tWgNed3qFq6urUql0enrKy0U6b7RcXl4ma+CQ7/V6Clar1YoX/MzMTD6f53XV\n9Bm1arWa3o0qTZvg2UMI9/f3xWKRW75SqSwuLsKzXNgzMzOQr3q9LoYonU4bVFEoU1NTHz9+\nPDg4OD4+dkmLToJLctS7eg8ODrLZ7PHxMXKDz1RB1AxyVtGOsMHPzMwsLS3t7e1FSsFgaMwn\nTFMOlpeXqZeRpO/evUPIfPjw4fT0dH5+nplBOIrtRa1W6+Hh4fvvv+fcUOli8Dp1oVLFnHd5\neWmY1aClhmsums2mxhAte3l5iYk+PT0lZjYRO8NTU1Orq6veLwRwbm5ucXHRZ63C+oAACHwv\nn3/++f39PeTRYjN3vhh3+nd+jDu7kTueP3/+/v174BTFvNIDaTJSsRPFfk2Ruri4+Pjxo8xx\niHW32y2VSrA/2UFkFuoRwiHmQQ4GA+sWe72eK7xSqXCq0dlRdbmQ8BjgLajZxMSEYJIQAiUz\n0azSCYLM5/M8FZgNierxD6PVCQuBAPWCqVIIO5go7L6we9DqQsK0YrEoAM5Uq0AQ6LDlK2TR\nWnBxcYGcWV9flz6Cn4l7zmZnZzudzvLyspwok2YymYwpL6iGy8vLarWKRsA5wCKZlCPHQsxs\nLK3VarLg+cyMq+gRtYkwWz+bzWb5OuAVjIBQBeNwo9E4ODhYWVlx/u0dHwwG4MKnT5+OpSfj\nzm7kDhc8INw2mXw+r2okk0kxdpKaut3uwcGB+Yut4tGjR1dXV69evep2u2gBWhOu+6mpqZ9+\n+kmnowb5BelpIQT9AhbV/r0QQrRkNRoN07GLEx7HMG9c9fofHh729/ddw9A9VlPD+MHBAZbj\nw4cPOtMoW6NhtlCNCq9cLiscExMTOia234uLCzHIv00xWVtbA9svLy9bw8ZNwUFsbDRamrgR\nC8JaVPbofOh2u/V6XUJMr9cTx9Ltdre2tjhVrq6uCoWCV641fnh4IOWNSu/d3d1EInF0dIQv\nSqfT5+fnr1+/Bh0yqFEFGtWvr6+FlBiK6XJOT099Ik5+YhitnMlk1tbWUqlUu92+vr6+vr5e\nW1vb2NhAQ19dXdlOt7q6ik0m0/k7P8bFbuSOs7Mz2g72UvgU977+7uzsLJfLnZycJJPJQqGw\ntLQEhN7e3oZG/fGPfyyVSvf39+yuGiUi5M8//1z2mS3O5HL2LkLx379/b2a0fiyEAGmipaCA\nM8eB4dfW1uj+CPFE0c3NzblcLy4upE7RJHP1hxCOj4+fPXtm1bdoI/GThty9vT0JVzQoLv7F\nxcX/9//+n4kMMqVZm5iYINlrNputVkum/MzMzM7OzszMzNzcnFK+vb0dIUU0qAQRdl0zsl/W\nhML+uFBlx/sUTLLRbaI75iFxPtvt9uXl5eHhYalU8kqcFsDo119/nUwmrXZ0SlXMiJOiein+\nQgjyWdfX1xcWFqanp4vF4k8//bSxsaE75quJCzTEal1dXcUA11evXoUQfAc+7bd6FI5xsRu5\nw1TVbrcNdJLR1tbWoFFLS0tRao+Y001Yyqdfq9frnU5HfABxGZyr0+mEEKSlP3nyRHIczAsY\nn8lk1tfXp4Y7qtGdyNBqtXp7eysLPoQwMzND1xINoeS+vV5vfn7e7AlqpLyT0UQQp/QcHBxU\nq1XlzGKa+/t7GpfNzc2zs7Nff/2VMAVj0G63/+t//a9S58xoR0dHZsytrS3XdjKZ3N7eTqfT\ntVrt66+/xqto6CQR2Ewme85wLV7BPkM4I63f7e3ty5cvM5lMrVYTZqWAkvKogzHVyq9hSNRH\nefcfP36MqyHM6SGE6+tray1DCBpYmKZxWEt+dXXlk8pkMh8+fBAH0G639/f3//N//s+SDm6G\nezK3t7dvfrPFUcnDXz958qTX69mE+ym/06NxjDG7kTt++OGH/f39qMACrmuj+v3+ixcvyuWy\nzuLw8HBjYwMd6d6OwSCMEF0rKw02F0LAOWhGGo3G1NRULpeja7m7u5O3IaYpClmJYKLQRH90\neXkpKyVGKp2cnGiCkIleD+z87u4Oh+gSNUhOTk5ub2+HEGIaJe+635mZmdne3u71ehRwaoGy\nK6pAibEDzFzc6XQ4tHAOTgVMkzraQIebVhH0YsA+3G6xWKxUKlYU6bykMFiUISla8YIJguGo\ndvf29qJ5w42Kpvfs7GxlZQVOalPS0tKSc95oNJrNJiZab5jJZCqVivcl+H5vb295edmZ1PGJ\nEby4uBAIyA4ILmg0Gtaw6cpRNMVicWFhYbxdbFzsRu54+fLl8fFxdLPOz88fHBwUCgULsK1G\nJXpwTVoW4ed7e3saHDJXFzw2EOh+f3+/s7MjJKpYLKbTaYAXpUKpVOr1etVqlR6NqBgKbi9M\nMpkEeMsZz+fz9Xodjl4qlQaDwcrKCjkYxFA6Zkw5NoMzTpmt1CaofAhBcAur1sXFBRuswkp7\noQqcnJyA0sBn5mueLY3b4eFhDCgGMtLuUeEKoI9aa0UcrgdnRBRgVIm69WUaLqZUuSwLCwv1\nen1lZeXXX39Vktyl6JlBmV68KCfMQ6fTsYlCep0SfDfcfukTVP3n5+dl58lnVrwKhQLTmOBi\nf3h8fIxdYSMT0MLSe3V1tb29/U//9E+f8Fs9FiuByAAAIABJREFUCse42I3c8fz580qlEkIg\nNIu2fJysLHWxSBC9/f19oLjVBEdHRwsLC+Ib4evgP0ltVMemNlJYOji2eUNiYrjIVSHABiqd\nmUzm9va20WhQt3DgZocrdaBjyeHWR2xgbMqazebS0hILJ8HgzMzM0dER+yrHe4wD0BWq5gZh\nSCWxi8ZWZTHB6QG9ZR2fFZS6RdG+dDCGUHcLr9PKMcU9MVw5JjydMNus2mg0/JUUUlZfTS5I\ngVXDWGrxjQc00uZyOVBsrVYTdiDltFar+X2FiaNOgALgMoQg2qDdbhcKBcwMCE+z7C3QHkUk\ngeHMnt8QwpdffjlepTgudiN3/PDDD69fv5Zsns/nlQyBGclkstlsUpOQ4BLThhB8s3u93urq\narPZPDk5sVcwhMCFOjk52Wg0fhv+o4D6q2QyqReIngSDLR0G/bDtM0S5k5OTPG21Ws2cKwfl\n5ubGcKcA+V+LHfwrtJ759OjoyJJsxYubXY/j3RE8u6rpy8BPJG+me48vjsWORwpn4yTT/tzc\nXLPZ1HKqv5OTk0dHR6lU6uDgoFwuE7gRwTSbTWfGm00kEs1mU/VH8lIjM8xy12FUJcepNcbS\n2dlZKaHM/EJK3E7cSDSkfrlYLAqUJyMnCYK3wuaE1pEWgmKbzaabGazQGkymmolhBrXKPk49\nCeNiN4LH8+fPkQMMUr1eDxJEmq+Nwm8mhnmcDEn2Vdvpt7CwINPN2hdtmg5R4iO3eVxEL+nE\nZSau3UW4u7srqtdomclkBHZq9AxKpjAtlW4LSG95c7FY9Avp4Tou/VEYpqRoqUII6+vrl5eX\ntsqaE5EehvdMJtNoNNbX1/nnyTXMoa789PCw1ouAzqYO0Cf5i7AWNHQmk9nc3FQdWPRjQKmw\nEKvILi4uyuVyt9tVi2mSlbzoEoNvTgxXgBO4XVxc/Prrr1RERlQvO5vNekbjakwEoCTXuZuF\n3Vq8QWClX9O48WNYcgSycJ+geU4MA18Hg0G5XP7mm28+5dd6BI4xGztyBwTNd1RsOrPBL7/8\nogNKp9Onp6fQ+kqloqegwhdgR1h3eXm5v78vji2EoDvgdTUMXl9f6xoI7lCB5+fnb9++vby8\n5L1FBai5HmR1dVUwp6VWIYROpwN3v729Fa3MuUFvrIW5vLxstVq8a3rJwWBAeqKFmZubazQa\nstu63S6aWDyB5WSGdKUqrmhQcH+by3R8fOwtx8U3kpGgZvf39+VyeWdn5/Ly0hvpdDroFI8j\nj2RxcbFWq1Wr1YWFBdZdbmWFVWuMHpV3oscksY6JgdDS3/3ud/l8PhJHTHjMdqVSyd3l7u7O\nuh8eZy9b0j1em1fPeVCU+eQODw+NrobuqIYhUVIfjeHuLn/nx7jYjdxhnShAxwzrMl5fXydz\no6p1aUUE+vT0lEcdlsQTBpUTAAWnv7u7++Mf/3hycgIv1zD2ej2mfe2kZseGF0HhHPW2OJ+f\nn+/t7VFIIBNDCCZEtU9Dp0AzWriYS6USyKnf7//rv/4rZBBZaTnG4eHh1tZWq9Xa2NiQUuWX\naSyOj48Ny4xr1CF3d3c6QYbZEEJmuIUDf313d8fLpfltNBrX19d/+MMfGE7tkw3DKHbzIKVL\nfMEqIPcCpuXo6CiE4AVoJL3In3/+WdN9N9yXFOP/9vf32Vrv7u4WFhZYnrFAgjlF0fhYme1K\npZLxVp7KysoKrQxwUPHitSgUCqenp+fn55LZVU/bzsAFsXf+Oz/GY+zIHa9fv97b2yOmdQH7\n38XFRUsSQghzc3PiLVmmJiYmuD57vV6j0VhbWzOmVavVp0+fEijYmtzv98vlMjhMKycumEN+\nZWWFOcwFY/WM2U2zoIcSaO4XDG4xh06ZRjUqDSZT0aFv37711P/4j/+o/zISamGWl5dBVyxx\nV1dXnU4HxOaqdoU/PDzI2jOvKQeCXvzQ1ojfxhCA7cT2hRDMyM1mk4qYE067BPLn3MK9ogL0\nTWo6cFM6lrHU7YdTFTcdQnj+/PmzZ880obOzszGN2UYeSxRPTk5sgKQBUljVMn2r9dsgV8+F\naJ6enu50OmhZtl9lTs/oLWeGGf1TU1PlcnmcZzfu7EbuYJY4Pz+Hnd3c3OiegNMUJCQm9Xrd\nzCLJFpfK42VVBYoTyj4YDDY3NycnJ0WqJBKJd+/e9fv9lZWVXC63urr6+PFjBctMh28FBmWz\n2VKp5Fmmpqb0XNESDyP/8ccfj4+PLcZOpVJqaAgBvbCzszM5OfnFF1+USiWlhKGC5WBpaUkL\nKQ2F7Pns7Oyzzz4D0tG7pdNp5U84ikBmVSxmkHAmRIPH9PT04eEhdoLTa2Zm5vnz57I5uT5y\nudzFxUW9Xr+5uaFJbDQamt/EcBM21bRQmeTwGAwGR0dHGrGJiYlyuUxKTe/y9ddfi8bCKRvS\n0crz8/P7+/v8JG5FsL+3b9+m0+lms0nU/fDwYL9au90+OzsLIYiuy2azKnUIYW5uzhI1artM\nJlMoFFKpFBE44oJz7pN+qUfiGHd2I3dIKsbZdTqdbrdrt6n7ueZCd+YaCyHYQ4qQzeVyrO/9\nfl+cpPkomUxyYsoRwIoyMxHEtdvt1dVVpUSWibFRl+QiR2vE6U+HIkX5iy++0FiFEObm5lQQ\nVxrgaXFx8eDgQJWhp11cXKxWq/yb/X6floXmWTGNiaGUGabsqMMolUqG04mJCR5S7ZJ7gLQP\ntCyX2P39faVSubm5efz4MRhOa5nNZnldBSWcnJwsLy8jSWJUweHhIQ0Nf+7i4uLd3V23293Y\n2PAg8eV1Oh2GXLLqiHXCXmUuscSo+BTCnU4HNaH3pEEx6afTaW/Zfws18fhWstEhW71Gcqwx\ntFMcBLy6uvqnP/3pk36vP/0x7uxG7tCFyX2cmppaXl6WMNzv9yuVipTNEAKA3NAUsZtisQgg\nAwwBgziZrq6uut2uBpCX1ppBa7HAZK7M5HCfdKlUkgigVRGhbpyULLS2tvb+/fvFxUVbohcX\nFwnfZI6iaBG+VMQzMzMQtIeHh2KxSG5Sr9cfhqtzdKlaElEoei5RIsqfwk1jQa1WrVaNmXFL\npK4tlUr9x3/8By2Lcvn5558XCoVGoyHRJG6Ppuc4Pj6+vb1dXl6mvMNZA9fIffRHRCeDwYC5\njbBZkoo/N4kjVWiSDw4OtI224rJzdDqdGF1j5cjW1lan06FfYXrDy8M0Go1Gu93W61ma7mxc\nX19//fXX9Xo9hGCoTyQSVoajv72XT/mdHo1j3NmN3PHLL79I1r66ugIwn52dkbPJBxYDF13f\nGgS0QFz05ef9fh+aFkIQwHt5eXlzc7O6ukoKJxFEjvnFxQWfViKRoCar1WroixCC+luv1wlW\nkI9iMilaFR1QnXWFPPamcq9NPFFMTq9UKmjTKBxR06HpzGeqg3ck0gP0bhcHX9Tk5KT1j41G\nQ7frmserEny0Wi15oicnJxb02ANpjZmqWiqVnDcp5+gg4yroMAYmE8p1Op1qtVoul1EQUbaN\n9cbYuk/YDeZ/QQS6bCfQVl/B8babM4doqwmw3QaYYezk9oB4D3xRMpkklFleXqZGJlHOZrNr\na2tjzG7c2Y3cQeAKr6FKu729ffr0aUTT7HAx0goakq/JYdZsNrmv1A6DrWU6IYRisYjQhOXd\n3NwcHh4S2dmDdXFxwQiRyWTK5TKpcKQayGg91M3NTSaTaTabm5ubuh40bgghkUgcHBw8evQo\nl8uRDVMmU3553lqtpn2Df4UQJH+QNEO+aDhkwOVyOfKUZrMJk9JtUcBsbm7W63XNKT2aP1cj\nSHkzmYzFss1mc2VlBRAm/UXf9+uvv3K57e3tKcpGXVYz75rk7ezsrNPpYK7JRLTS6XS6Xq97\nwXErhT6ObvH+/l7vyWWMb52Zmbm+vp6bm8O0qmgq5vn5+fb2NtEJBOP29rZUKvlla2dtZXOf\nCCHMzc35EI+OjgB/7XbbOrS/82Pc2Y3c8Ze//GVnZ4con9AX6o8olPuk91EaIDWGXxZ0c1xM\nAXIF8pZJD7bcPlq7NHeZ4fJD8D9alsxNxC4ULAyXJco1KpfLLi1Wf8zg/Pz8/Pz8zs6O6kY+\nZlJjSFhaWlpYWPAa0LIC4MBqHhMXDN1jC9W5TE9Pt9ttvCcZnSleJxtC0Ir+FnpD2ggdub+/\nZ7xjUDHtsr6urq6yQ6iMSGpUbwhBNeHioG7RvUIGcNOUzGLrrd1QjtXNKHtGB4uoOzg48PqT\nyaRYaWwGoCA6iCljomf57OxMjCBEstvtEmYC7AzatN+cJ+vr62Nv7LjYjdyxt7f37bffhhBu\nb2+tiZHp5KrjG7XrABNqdqOYNf64urRIxk/zkU3YCwsLVGNkq2AvIF3ssLATlPocUchQ/tDo\nw+U8pY2gCkwmkwQxcHSX7tTUVKPRePXq1dOnTzGkwPUQgrx4F2o6ncYkxrzMZrOpIPorE5m9\nX0JMtTZGb3Hqai6r3NXVFeWHUfTs7My4Su2RyWTQI+SKMahKXoD7R8zd1OL5FDymmmV0lVUH\nTqWRBpK6f6Cz+TpoeozDQg1ubm6steb3QHFwQGOB3WBgguKmVW0OExI/aGYIAWz64sULoAff\ny/n5+VdffTX2xo7H2JE7kJJcrr1e7/T0FDlAkmo+kpwOJltbW8OxZjIZKyDQCOl0WmQQOJ+r\naW5ujn2dngvqj+h4eHg4OTlRYuLVix7ltUomk48fP4b0EQPD0VmdbLkH8/tDG5oVoKWlpf/y\nX/5LvV63YQMMR7tbLpc9zv39vYKLQaYjUz6AmLRv0lZ0W7lcbmlp6fj42HIG0/Tk5OSTJ09k\nsnslb968UZ7y+fzy8vLc3NzGxsbMzIyYYpI0ojl0hOdlFzGGc7bhUojy3r59q29yqln9s9ns\n27dv5Uubo0VpDgYD3hKvWUkS7rS+vi5GgclEK+olXVxcVCoVQ6gEvVar1e12kdGxT5QUb+QX\n4fnZZ589DJe9hRAmJyc99d/5Me7sRu548eLF8fExHamItEKhAA+CdukmINPWfXGP3tzcLC0t\nubyNqyGEu7s7nSBcqdlsIlihSC512Fy9Xl9dXb2+vrankdnTIMZvlMlkDg8PbRTTpGgeedqs\nibm/vwc8Mf+LXUIaQOhINISeR4eTDTW8FtH5dH9/32w2jdhkdDEHVGVnq6rX65999hlzG/9D\nXMsAr6Qo1sqZHwV5eqleCSiACLFerzuxuE5aORxFarhqEuSPS9G+cfK1223kgCdih5D3pzHX\nKlYqFTAoj60HVIupgpT1crm8t7cnt9W7k52nGUS5GGwt6LA3g4+FZwZEcHx8/Mc//nFMUIyL\n3cgdr1+/3t3ddW3Yr0raKnTEl9jFPDk5Sb6gV9IWIeBiFEpE/ShI8Hrxtm/dBPAbOzk3N3d0\ndCQNyQOenJyI8VCqTk5OxKXhFkhkb4Z77PnVgFkeAeRkt9bU1FSlUhG71mq1eAaM0hxUxjHz\noKudKbVer2MekSd4kqj1pf8A6hnnu91u9HI5J2pZMpkUacdlIRXO6ArnyuVyxWIxvnf9lHML\nxdPWMX54DRgSLITTbp3FL7/8srW15XFiQMvS0hLSaW9vj3Zaq4sA6Xa7mj6heLLt8Kr9fp8R\nGJ4wOzsbvbqTk5NuLQL9bWiUWGOin5iY+MMf/jBOPRmPsSN38KLHQCGguzH2/fv3FxcXL168\nYHjklh8MBru7uyEEmL2i45+iaBbXYT6y6QZJJ39YJwWqr1arS0tLJycnupLz83PCrkQiUavV\nzs/Pl5aWuBrkvpVKJY1SJBPv7u5+/vnnjY0NrEV0Zebz+d7/b+/OetvIsyuA/6mF2klJJCVS\nm2W3J+32IOkEyABJZoC85jVfOC8TIJnueDC2uy33tG3tEkWtlKidpPLwgwrzDSyg7nnqliWy\nqsg6dZdzz7291Qbl0WIIn5hmZ2en2WzKZMvlMhcACfXIyMjy8vLx8bGRCebyx8fHpGoCGVvH\nmAsMDQ2R/jkp0RlKpfvVTCgUCkR/Q0NDFBseA3yfPE48JJQX8Z1Wj74Buuz1etvb25JWERnR\n4uvXr/kJOkLVT2c0/Oilrs+r8oBqre/xsQqQFVV9su12W5S9vr6eLT87OjriGk0vKe72WOI9\no13+db7NTwlBdk8OyvBHR0fuE+Z0HHtev3799u3b3/72t+Rp6GlkZERxyk2FXObn54eHhznN\naSyYari+vv7uu+9U6+v1+vT09OfPn1XfisUi+ru/v3/x4sWvv/6qkWqeyT32+fPn9Mi8YiXt\nYGOkIsparfbq1SvHT74vE1dZNyN1fn6u1k7xOzk5yZVgfX29WCxubW3R7lUqFQvDOKaYFcua\nnuLTbO2DbqzCmYlXcj9DVAZXjZ2JAUlGZM1W3mg9U1OzA7i6umq1WraPswNg2KcCqJhQKBS+\n/fbbkZER3RWcm300nj0ppeHh4VarVSwWz8/PLb3u9XqVSoWyhzCQQlhRQoqqcucz1ZvmUtdo\nNITbd3d3s7OzmWwQR5udyEJ4Gzy+4lf6iSDS2CeHt2/fWtSiFp4J/SuVyt3d3dLSktkgLUux\nA0FGNjc+ODiYNWQzmbHI7vb2ttVq2eZzenoquhkZGcmWwxK76X5yypPN8U2zo0trUitDWDQ2\nNmbJoZ/rLXLxpcBQnp+cnDQzK7QUxWjjTk5Oal9eXl4uLi7qBVtV4bLQ2REnU6JRRIs6DZYp\n0us4kxmjAwNn9gcpkI2MjPBlYf2mptZsNvn9bm9vWxTJAVRwbfWPxWkpJd0JF81xZot42u02\nO2j9H4LEu7s7bjSZ0wwtJLWNOf9er2fi1YER4mXNXKdQLpd12An9fD1SSvwKlT4dMANqKyhX\nV1fDzy4iuycHJJWNoBsD8rSX8T179swTm0CMCIOYThXf5BY7X61bhh8sMfr9vjzL4is1NU4b\n2XSnEh7LzNHRUTl1toAZ/SnYm0U1Saau12w2JZjavmIZkhEBVEqJVIVxuVFZr6Cfy0z86uqK\n8kZExkDYPDw7Us53mhJGdM1pidRSSpnNMlmJ9eHValWRq1AoWDQh1zs8PDQj0el0Xrx4sbi4\n2Gg09B8IcRyVmEtfiAGXERFqGwVWaiG2VGYkUkqdTufly5d6FNlURqvVIoIzWVGpVFw0l2h4\neNjY/9DQ0MbGRmZ+x4K0VqvpS+DKnZ2do6MjpJlS8iLi5f39/bB4SkF2TxDEwEaIUkpMRJhh\nMLM8PT01Q3Z1dYUZ3ULWdLn5Ff4yJrq8vGw2m+VyOaWUVdPv7u5Yfdzd3VWrVYO3brler7e1\ntWXKst/vswDZ3t4+OjoSScmnVLi0SgV0dtboG6qs2+KYjZqmlCRihUIhC3lI9qhMhoeH1d30\nOoyUIndTYt6RK4E1PV++fDH4JU70+1yVtJX91cHBweTkpGbryMjI5uamUQc+d+Q7hMSqbwJY\nPsMcNIVU+/v7rVZre3tbuRPTSVcFzouLiyqPCwsLzWbz7OxMt0T2TXctfS6Xy9hzZ2eHlSnP\nFUGcxjEHByUIh0QUTegnqi0Wi9VqFQV//vzZA+P8/Pzk5GRgYKBer0tvc45IY58c3rx5c3Bw\nkFKSotJMUIFkeeLJyYmAQlfOIBebOTqsVqvlTmBCNzk5afp1dHTUDV+tVt2QXNL29vZmZmYs\nauHDUalUbInVw/XWCIUs4/DwsF6vZ0GNlmVKicoXD5ptMm7R7Xatsj0/PycQIUxJKd3c3PA3\nVqR32AOPG3D29vbc2FL1wcHBZrOpXqY/u7S0xG1Y1CP7bjabmjMoVb3/4eGBTA89Ofhs2ndq\nakqPmBU+SYpIWVysry0W9iKaHp463ABnZma8Yyb35V6lVmDiTQ+aM4J9RuVyGVWZ+VMZUEsl\ncOFYZwxOJ93GXnTsTzR5V1dXNzY2dGzk1MVi8fnz5yE9icjuyUF8QcZhHkhymlLy3b25uanV\nar/5zW8yrZkkkTfnwsKCxQV/W/XTDbAmlXcxKwFdWnmZJJfZ0fX1NYFxZo4knLT16uTk5P37\n90tLSyacjFillFTEKpWKsFG+trGxwZzKPgfRGfbMgilcKe6jEDQ0is7m5+cJ4rLJWUl6oVD4\n4Ycfms0mozp6QC7kSnIUefqwvV6PjrpWq11cXGjpUvxZQa0Jg0H0Cih7FRAQigY0axM8pR5q\nMNbfmkKhOOl0OltbW9PT04p04jiLaG1lM/Zwf3/v4ZQRq+bJ9fW1gTay4ZQSfXKn02ErzcKT\nauf09FRs7grr5BpKER5+tS/0k0FcgicHERDfNP01Q5EyPk9+bdB+v0/GcX9/b+sY2dcvv/xS\nrVZPT08FF+66iYkJpm+CEUmu7oFOq9U5kqb7+3sDqhlfLCwszMzMlMvl8fHx2dnZf/mXf5FH\nM5hTcpqZmVlaWnL/K5zVajWram5ubngZCOU0Va6urvb29m5ubhQNyVmIQsbHx7ESKZmlqPxI\nqDQQ0O9///uVlZWUEgGHZNnZpZTkjwIcgg8SEx4HugpmMJjdt1ot4TMDYbkkZ9Db21vSwqOj\no3K5rINRrVaJP/785z/3+/2ff/65VCox9fvhhx/6/f7i4uLr169brZZuj9KEHUZZ8K7vYcSl\nWCx++vTp8PDQQIhOSKPRODo68gUgBhRiLy8vDw8P+9D1Z4aGhr7//nupvaqFH87MzATZpUhj\nnyDev3//ww8/8BwmrRgbG2ODwfxHRSalhBqUbEhPJDXZlFVKye9TfhgCNRGVHrt1KaV2u83C\niJuAYVW9UdQwNjb2/v17UWFKSRxEWqFLK/Dh5bm5uUnnocA08Gh6LjBE0FNTU8VicW9vzyBt\nr9ejGSZOVmAS3urbMp0fGhpS0ZdZ61d6NihHert+v99sNuv1eq/Xk2kODQ3t7u7yR/BG4tmU\nEm8FnRxTK5ubm+zOM9t3DRBtisHBQT0QOkS1y+fPn5+enn777bcuMgLl89zpdKrV6tbWFukM\n8vV4SClZJsuyULrqeWO2v9FoYORCofDu3bvFxcWUkniw3+/zr876MxkVknkr+9I/393dra6u\n/uM//uNX+kY/FQTZPTn86U9/stP68+fP1A/r6+tK/r/88svs7KwwJKWkzecmESC4vVXrWZNz\nSbGNodFoHB8f93q9zc3N+fl5VS26Fqpg7ddsn7TYEDso57GiRI4SQ0bnt7e3huo5pshDp6en\n5cLEawYkxJKEfgcHB0yQiGC63e7e3p4uM0IhedHMNSPBAFnp0OWSOPPp439nFbeVklquPGMM\nTmjjqpr98ssvw8PDCwsLAuSRkZGDg4PV1VUPDBcwG8YyKeF8NbILhcLExMTh4SFe+8tf/mIx\niDICRhOlknCvrq5mvWkzZPaH0MGNjo6+efNGLXXg0cSUh93m5uZvfvOb29tbpQnRrj6vZ5LT\nWVtbU5xVu6RY3N/f/+abb5aWlsIIIMjuyeGPf/zj2tpaSmlhYYHj9uDg4OLi4vHx8fLyMgGE\n21UqVyqV3r9/b+ehZz5DpN7jEga5jD5jqVSiC7FPut1ucxZ5eFxHrQF6fX1tirZWq11eXnrZ\ncrmcBY8pJemqgn2hUFhaWtLWzJzabGsV/kxMTPDdNa1BIWEUd2BgoFqtWvDKgF7vst/vE7Xx\nrco8SDRkJKSlUkn1ytConI7BH8tM/kvdbjeTK3pHCenS0lI2fKaVIUSiWdN7TSmJBBGcsiPv\nA4uE+L6cnp6+fPlSC0J06Xng8PgpqE7SvhjpZ1moBndxcUHv7XyZnTAUMBktxGO4LzP1O5oY\ntOWm9M7OznjAzM3NFYvFVqv13Xffff/991/1e/31EWT35PDhwwfVcWV7rmSGWA0P+DVEZuf8\n8+fPOTu6dbVZzWAOPe5wEEaJsEhbJch6CxqIBiqN7uv6SeJEUhq7dP+UrsZF/VyTsVqtpsct\n0XSzhH5kZYqPpMXGYDVwqVj8zuTkpIyMTYuBUxGZVozetKDJi1DY0qbQCTopZiH4iKAadYpz\nFSsJ4nQnGBkIKlNK/kQYJczUPJHCqw/6ZfHs4OOCIdIQShc94tvbW8efUpKn+1gVPZU7jZqp\nURi3IPCWlqoJODw0isp1rqenp9X1WLqKoD32VBh++9vfxmxslC2fHK6vr6lDs2q02pzRSPIL\nCrKHxz3TAjelNF90YisLDVJKQ0NDtVqN8Vy73c5K2thEjHZ0dEQkoTROHyt/7PV6s7OzEiht\nBCSYUiKPIGwWNxmWGBsbE44ZJkUlmcqMICMbyG21WkY+7u7ujo+PzTapyim3axYPDQ1tbW05\nZqNmSBxl60Kcn5/Pz887KdmiKzY9PS0OmpqaWlhYKJVKsmkclDk4WQJLKjg4OKjsJVbVF5Zg\nqs058Yw3s7weiau+UfyllO7u7vhilUqlVqtlmVHGnh5dRnHVAYj7PIRodOTUhth8FqLUXq+3\ns7Mj7tOt9gkaxSURp7LOOYLsnhysoUIxt7e3Gn/ZZBKCm5ycrFQqlBmjo6N7e3u0FGdnZ0Ih\n1h1CHjuu3CSZkE0pamRkxFiCEFI8pZZ0cXGxt7eXGag4MAuts1EBHWEFOA7gWXacUlJlU160\nBPb8/PzNmzfG8mk4lNvm5uZQj2WDpNFaBJ8/fxZgFgqF9fX1Z8+eiels1RoZGdna2rKRR33Q\nNdnY2Hh4eNje3rbqkOnAyMiI+oB90vyyGEDZXqiNk/WpBcvmYcfHx4+OjhyPJLfb7bZaLUty\n7+7udnZ2Hh4ebOw2EMaVxHEaUJmbm/u7v/u7Tqfz+vVrv/nw8MDPmSQQYyo1rq+vy50rlUpK\nKVvA5MU1zVUYGo2Ggbx+v1+r1Qgnx8bGms2mn+h0f7Uv9JNBpLFPDm/fvt3e3jZCr1pv3JV8\nzLM9pUR8J/XTDTAalQ2o0+KS4E1MTGjpTk9PG+Gk+DepqoEg2jIZxnYFC3Q6Hatz3LeZGGV4\neHhzc3NmZsaf1Go12sC/tbREpjRxMzMzw8PDi4uLbryJiQmbAI0TsB1NKZkqvbi4ULDTopVZ\nr6ysULrpzNBn4G6RjsIlj3KvIMDU9xABwi8wAAAcuUlEQVTg2Oso/a/X6wcHB+Yorq6uKJ+l\n8z4LfDQ3N3d4eFipVEwlp5QoqGdnZzMzKKNvZhWIE31AFxcXKSWLgUjnUkq7u7sLCwu8sBxP\n9llTwFgL65LqX09MTPATXFxc1CUnqTEY6/qrTnrG0Mp4rjjUf/u3f/s6X+gng4jsnhyUZhTX\ndnd3leTx2uHhYbvdfvbsWeZoklljMvnQ6ROOqQqxeyNEsANMwVsGlwkdeKtNTEx8+PDBiP7e\n3t6HDx/m5uZmZ2fV1NXgUkqKSvf398vLywQl9BCYLjP5wB1MlYvFIgs5TQYtDk0JMotisVgq\nler1+ocPHxx5SkluS/7y5csXuSQlrbIXv1/2Acwy7RGnXMOerVarXq8rh9HoaDiQ2gmQW61W\nuVyuVCqug5ix1WpRDn/8+NFYhURb4RLpE+soJmxsbJDCKAJybxbW8YnRpDanrPQm5/XxeVSM\nj4/PzMzMzMw4TVF5u91uNpu9Xm9ubk7jWKSP2QVu/cdVRwqynU5H4m+XJjOrnCMiuyeHtbU1\npZZer9doNG5vb6Va3W7XhFN28yAafUlW6fV6XYCWUsIsYhb3p3o5Ntze3iZeKzzuBtzZ2RFo\nqJSdnp42Gg0FPkV3LMZsstVq8RzmsFKpVNTOM7/ibFbJ+56dnZlnSikZPvXW7IJlpmph9Xrd\n8g1UzpxdeMuyiSBDusrU9/DwcH5+niKHPIWzgI2IOI5SxF8R6PEoFoXZvraxsYGMsM/s7Cyn\nKTZTaGtxcfH29laglxXCcI1VEtoCg4/bIfyH1u3DwwPVcUpJX8UZuVC2dmR7jp49e6Yzmx6f\nCqYjmEKXy2UfvSoBVkW+WjQ8coTA1Wp1dXU1urFBdk8Of/7zn//yl7/oM7qrBT70qAcHB1w5\nyVmlkFl8NDs7i4YGBgZ4nVMOa7xy6ZB2lctlpX0E5BfECBSzNCLz8/Onp6ftdnt5edl9yyIJ\nH+m6CuIUxTksYWRZpFGEarWq+0HgIsM6Ozur1WpUuBqmZ2dn6+vr9Xo9pXRyciJOVJ/KTlMv\nkorNxBu1rUYBFaFIkzTk4OBAMCsTN4owODjo+YEOPA+EUahKVdG/Ikp+LeqbDljKiX3UB8w2\nCDb5QRWLxU6nU6vVEC49YLlc1qV1eOVy+eTkZGVl5ejoKD16teNWHQzPj0qlwpfF2Xn8ZNsn\nHJu+jVqez10QvbS0FBZPQXZPDj/++OPPP/88NDTUbrdNUzJrUp4TB5m1tLBGGdvdK6UyDunX\naCBmZ2dJE1SgBCDZ8ICsGVXt7+9b0yNKIryo1+uqSOQUdui0Wi3jsehSKIpT4PT01FCUpI+D\n7sTEhBFOo/vCN0PyWFhpT+VLVKjcPjw8rAbP2Y3sjnebVgbiNhM2+rhg17JH8VShUPif//kf\ncyA6IYp93ndzc3NpaYnFPA8CVwnb8piSKg48+gBPT0+XSqWzszOPAQO8gk2tamuwp6en//jH\nP1arVb8jhk0poaFischSgRGTATJ2rdnvKIOenZ0dHx9rm2jCStV9VeTvpga5b8kD0Pfz589j\ngiLI7snh/fv3Z2dn6uuiicnJyZ9++qlUKhGsyUnlWdQbbN0okGdmZlSpvVqhUMBiqlHubXFK\nuVwul8s7Ozs6oeYWUMnJyYm3psnIXNsokLNaoV1f0kxvqkxG3Waljg6JAyZbsX9W7YyC1z1J\ndyaokcrRD6tDmQowJqUYPz4+/l//9V80yXxAs4Ez/lQCQ+j3+yJfs3QfPnxYWVnBofg0pZR1\nQnWTkYU298jIiDTculgeouYiuJ9ysqpUKj/99NPCwoK2zMnJiXVu1lqjKhEonRBSnpubsxvX\nJFmn01ldXRXQcTfgduXwePbZZWE9CDE2+2XGLboxzsgGj9evXwfZRYPiyaHb7f7v//6vOIXx\n0dbW1urqqtl4wlTaMTr+lBLW03TLSlSkKjc3NxQnphqazaaKW7vdZi60srKi/Sck0ebTOry8\nvPz8+bPauUUHi4uLSEcVb2xsbH5+fnd3V2xIFUHfzyZA1ulIsmyLqpn27fb29vLykmZQbT6l\npOPBaV3YxWZdnYt3KdXhv//7v9dqNYekdZtReUqJDYlqvbEqsd7x8fG//uu/NpvN3d3dnZ0d\nPukiVkNjVCkpJXo62Xqr1ZLb6vkcHBwgSkG06Pvk5KTRaLx580Yrw2SF8TslNgXTL1++7O/v\n07KQQ6LgZrPpsrTb7Xa7vbOzoypaKBSq1ap1YmJSz4xGo5HVZ7NWFbOGL1++eP5tb28zofmK\nX+kngojsnhzevXsnPMliH6EHTw79R3UrTUAP+WazOTc3Nzo6KrEiHDFGLsNNKZ2ens7Nze3t\n7dmhoxuYRR+WISiNcZFyt0gn6/V6/9EgT0yxsLCAbcUO9Xp9cHDw6OiIIlqLg5WTWdF+v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vv7e2ar/X5fe0HYjqwRJQ2gjtPh4eHs7Kz3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\nTkSuQmCC", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(log(1e-5 + abs(fftshift(as.matrix(fF)))))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "An image is recovered from a set of coefficients $c_m$ using the inverse\n", "Fourier Transform that implements the formula\n", "\n", "$$f_M = \\sum_m c_m \\psi_m.$$\n", "\n", "Perform a thresholding." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "T <- .3\n", "c <- fF * (abs(fF) > T)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Inverse the Fourier transform." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "fM <- Re( (fft(c, inverse=TRUE)/length(c))*n )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the approximation." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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57R/I5jgstcM0FPwJ2fElzmkiDOmU0Z9szOebDbQoMlEapzziGy7/f7qRUA8TJH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de3Ai4JVAutUOjmyBr5h7avLgvK1J5HPh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\nBp2mKV7QznR89/f3kF9ZnnCtMD74kb/Gaxge7NYuuPNDo2QKQOJTrVY7nQ5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7k8IGasn9ZmkB4HLLCc3gM9tgQVjO80KiJ5MJju3879bW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\niPBg58OHj40ID3Y+fPjYiPj/A+nUUsI/lxwAAAAASUVORK5CYII=", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(fM))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 1__\n", "\n", "Compute a best $M$-term approximation in the Fourier basis of $f$, for\n", "$M \\in \\{N/100, N/20\\}$. Compute the approximation using\n", "a well chosen hard threshold value $T$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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3hycrLb7c7MzLAlPc/jyqiOWNrCMJycnIS/MmzYCceICKo1I+z3+0gnrqMmtHa7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+97+/vb396NGj0WhE1WVjY4MJY9R2Xdft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\nIxtjoH8QXYARVWubSCSQ8CfFp9d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VZjwzM+gZiL6AGlHabng8Gg3W5jN8Cx8f9U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\nGW1uAAAWFElEQVTMw7SIN6R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"text/plain": [ "Plot with title \"M/N = 0.05 , SNR = 23.5 dB\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "\n", "source(\"nt_solutions/coding_1_approximation/exo1.R\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The best $M$-term approximation error is computed using the\n", "conservation of energy as\n", "\n", "$$\\epsilon[M]^2 = \\norm{f-f_M}^2 = \\sum_{ \\abs{\\dotp{f}{\\psi_m}} \\leq T } \\abs{\\dotp{f}{\\psi_m}}^2.$$\n", "\n", "\n", "If one denotes by $\\{ c_R[k] \\}_{k=0}^{N-1}$ the set of\n", "coefficients magnitudes $\\abs{\\dotp{f}{\\psi_m}}$ ordered by *decaying*\n", "magnitudes, then this error is easily computed as\n", "$$\\epsilon[M]^2 = \\sum_{k=M}^{N-1} c_R[k]^2\n", " = \\norm{f}^2 - \\sum_{k=0}^{M-1} c_R[k]^2.$$\n", "This means that $\\epsilon^2$ is equal to\n", "$\\norm{f}^2$ minus the discrete primitive of $c_R^2$." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 2__\n", "\n", "Compute and display in log scales the ordered coefficients $c_R$.\n", "_Hint:_ a discrete primitive can be computed using the function cumsum." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=3.5, repr.plot.height=3.5)\n", "\n", "source(\"nt_solutions/coding_1_approximation/exo2.R\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 3__\n", "\n", "Compute and display in log-scale the non-linear approximation\n", "error $\\epsilon[M]^2$.\n", "Store the values of $\\epsilon[M]^2$ in a vector $err\\_fft$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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88BLF261PiXmBDDThD0fcznzp3TPQ8M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\n3h0tW8Kkd+YgMqNqtn6yfPnyyZMnF/1zJ2Jubu7ly5cvX768bdu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"text/plain": [ "Plot with title \"log_10(epsilon^2[M]/ ||f||^2)\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=3.5, repr.plot.height=3.5)\n", "\n", "source(\"nt_solutions/coding_1_approximation/exo3.R\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Wavelet Approximation\n", "---------------------\n", "The Wavelet basis of continuous 2-D functions is defined\n", "by scaling and translating three mother\n", "atoms $\\{\\psi^H,\\psi^V,\\psi^D\\}$:\n", "$$\\psi_{j,n}^k(x) = \\frac{1}{2^j}\\psi^k\\pa{\\frac{x-2^j n}{2^j}}$$\n", "\n", "\n", "Non-linear wavelet approximation is a the heart of the JPEG-2000\n", "compression standard.\n", "\n", "\n", "The set of inner products $\\{ \\dotp{f}{\\psi_m} \\}_m$ is computed in\n", "$O(N)$ operations with the 2-D Fast Wavelet Transform\n", "algorithm.\n", "\n", "\n", "Perform a wavelet transform.\n", "Here we use a daubechies wavelet transform." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Jmin <- 1\n", "\n", "h <- compute_wavelet_filter(\"Daubechies\",10)\n", "\n", "fW <- perform_wavortho_transf(f, Jmin, + 1, h)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the coefficients." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Qqf0L0wdAYXVf0b0EDhFWFBErNEMjwIJ+GYPqY8NuSpgh5PdU/kjd/vj8hnRmuy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\nenp6enFxwRLxyWRycnIyGAwYEI+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"text/plain": [ "Plot with title \"Wavelet coefficients\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_wavelet(fW, Jmin)\n", "title(main='Wavelet coefficients')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 4__\n", "\n", "Compute a best $M$-term approximation in the wavelet basis of $f$, for\n", "$M \\in \\{N/100, N/20\\}$. Compute the approximation using\n", "a well chosen hard threshold value $T$.\n", "Note that the inverse wavelet transform is obtained by replacing the +1\n", "by a -1 in the definition of the transform." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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hAsHBBJxWJRKQW6wK8ak460AmY0ZiWCAPCZkWThc0E5JEN/QzdAGsJutCwrnU4P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vkDxVVVOpVCaTUcRUWUUqtSRYky83lxJN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\nlpaWfu3Xfu1rX/va5uZmOp0Oh8OJRAKJvX379nm93ng8fvLkSVVVDQbDR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sGgqqputxtDYEulUjAYRMhbKpVarZbVagX/12azVavVbDYL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6KR1Ax8s5Kk0ojaOncmJi4oMf/OCXv/zlL3/5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\nKOwIIYQQQjwChR0hhBBCiEf4H0yFCv5hEKbvAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title \"M/N = 0.05 , SNR = 21.3 dB\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "\n", "source(\"nt_solutions/coding_1_approximation/exo4.R\")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 5__\n", "\n", "Compute and display in log-scale the non-linear approximation\n", "error $\\epsilon[M]^2$.\n", "Compares the Fourier and wavelets approximations.\n", "Store the values of $\\epsilon[M]^2$ in a vector $err\\_wav$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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CAkJGTgwIEWFhaWlpa9e/c+ePAgANF0QK0lL0GfOHECwIYNG3r27Glqajp48GD2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\ni4iIYLcTqRCbpssjPvc6Mz6TEjQh5PMpmqDnzJkzYcKEw4cPjx4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TzMzM4uLivLy858+fh4SEDB06NCkpafDgwdevX1fqTw1SOZ6eePAA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"text/plain": [ "Plot with title \"log_10(epsilon^2[M]/ ||f||^2)\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "source(\"nt_solutions/coding_1_approximation/exo5.R\")" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Cosine Approximation\n", "--------------------\n", "The discrete cosine approximation (DCT) is similar to the Fourier\n", "approximation, excepted that it used symmetric boundary condition instead\n", "of periodic boundary condition, and is thus more useful to approximate\n", "image.\n", "\n", "\n", "A 1-D cosine atom of $n$ sample is defined as\n", "$$\\bar\\psi_m(x) = \\frac{1}{\\sqrt{N}} \\cos\\pa{ \\frac{2\\pi}{N} (x-1/2) m }$$\n", "A 2-D cosine atom is obtained by tensor product of 1-D atoms\n", "$$\\psi_{m_1,m_2}(x_1,x_2) = \\bar\\psi_{m_1}(x_1) \\bar\\psi_{m_2}(x_2).$$\n", "On the contrary to the Fourier 2-D atoms, these 2-D DCT atoms are not\n", "oriented (they contains 4 Fourier frequencies).\n", "\n", "\n", "The set of inner products $\\{ \\dotp{f}{\\psi_m} \\}_m$ is computed in\n", "$O(N \\log(N))$ operations with the 2-D Fast Cosine Transform\n", "algorithm." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "dct2 <- function(f){\n", " return( t(dct_2d(t(dct_2d(as.matrix(f))))) )\n", "}\n", "\n", "idct2 <- function(f){\n", " return( t(dct_2d(t(dct_2d(as.matrix(f),inverted=T)), inverted=T)) )\n", "}\n", "\n", "fC <- dct2(f)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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tbWFi+AMtftdiFqLy4uUqlULBZDMDCfz51O52effcYQEo2a1Wrd2tpCYVKr1QqF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\nDewmcOKXSCTxePzi4qJQKBBnNV2sEaDn8Xh2dnacTid8YRrqz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aJSqZ49exYMBmGeWK1WeG/X19eJRGJ7e5usAFQb/C4ONhrATCZDVCvI\nrEKhIMwQEBYP1Ww2+7vf/e7hw4exWKxarQIj+P3+paWlfD6P7uaPf/xjMBikc5xGr9J00wXj\n4+xwOMCsuQmQCN9//30Ygb1eL5fLmc1mSh42oXyCvDuFQmGxWBwOB6rFSqXCvpFkMqQ3yWSS\ndWilUmHIAGAB7QV96nQ6BIyBGu/v77948eLHP/4xoifY36gfrVYrpi5AKEDbSqXSaDRarVaO\nc5IBOp3ONC4S9me1Wk2n00ql0u/3w22XSqVHR0f03ZeXl/fv3596MV5dXQUCgWg0igVrqVQq\nFApLS0sul+v8/Nzn80FbIlx4aWlpc3Pz+34cv+drVqBv3ZVOp1+9eiWEIIiIVosdDmUXRhTm\nG5Dt8CRiCSaEwKIBZzKMj9GeIQGYn58/Ozu7c+eOEAIHBrlczvYJBxy81cvlcjAYBK8AKlUo\nFNiEYqvPC6MWa7VawlwYitm5dbtdbIPgVpdKJUDqJ0+erKysXF5eOhwOGGbz8/PwCnjXMGHn\n5uaIE202m2q1emtrC+Ei5GXU4UR4aDQawmfRi+PdAykFzoMQArdr3IjI+MDqiA6aevTgwQNS\nbOx2O4A1ezytVpvP5ykZR0dHWNHLZDJ2j5h+XF9foyUBu2fh1u/3E4lEoVAgtAXs5fnz59vb\n29NogslkAmQPJC2XywuFAvRH6h30QRYS0Ejq9TohCbxyn8+HiShhKFBlhBC4U3W7XbfbzTdh\nY2ODL0Y+n8fug4+JiClM+LrdLrAVGQ4HBwcOhwP8GvtDs9lsNptZgVKjeXlarTaZTKZSKUJv\nydJcXl6GNgNpRK/X5/N5XhLHA+7Y//iP//jTn/50MpnwveJTcDgcMx70rEDfuuv169cEJ6Pa\nur6+xrt5inVCmKUWTONLcFKnP2U9iJUwrhEGg+GLL764vLykFkALUyqVZ2dneFoyKev1epZ4\nWINCL8OiF2X54uLihx9+uL29fXx8jB4Bu2eYUhcXF8Ad9MLj8dhms8FvwwpDo9H86U9/+vnP\nf95qtaBDoOijjBKhxEaORL5GozEej9lxRSIRln71et3tdqMgn+aas0Brt9vs+tihIRJ5+vQp\nIwU2cpiTLCwsJJPJO3fugMACasNjGQ6HYEoQXeiUIXhcXV0hZZ7yOvi/YPien59HIpHRaGS3\n28kDBNIFz52fnyfyFYyl1WrV63Uod1NPUWyD2dAFBQAAIABJREFUPB5PsViE4Fir1ZaXl1nk\nYmCUzWYBrFGcT7EOIQTgiUqlSqfTCFharZbH49nb2/N4PN9++y09/mQy8Xq91EGr1YphC8ct\nGa8vX75cWVnBodBut0PcfPLkCZw/+IukqEil0k8++eRnP/vZ1LmbreCUY6dQKKCXTF39rq+v\n6ZRxRMGBwOl0qtVqAl+EEEwwDodjtiScFehbd2Wz2efPnysUChipLPQajQY1CN4F9vOQojA5\ngmOHz3I0Gg2FQo1Gw2KxxONx5m6lUvnw4UMhBHYcMNJQScB+hcgBy5hHC+dl3NPH4/E0lpBZ\nGEB5bm7OYrEQQ+Xz+QDNd3d38cCjuQbSpfJOxRqs7NVqdTQaLRaL5JIwB7BXnCqz0awzmGs0\nmkgkAkGYowu+XaVSIfmF+kt3SbVdW1vb39/f3NxkO0evh9UnZZE2EPMHNmwMDZjPAVPAMUdN\nhxEVzSxF6vr62mKx2Gw2r9fr9Xqx05tmRGFfdXZ2tr29LZVKP/7442AwaDabkQLqdDpIHWSn\n8glyr9AHRaNRsIvJZBKPx3nZcrk8kUiAS2Bo1+/3w+EwVhsAJhAZ+WIMBoPl5WUhRDQa5bzk\n5xwfHxOsBXtap9Nls9n19XXcwOmv5+bmTk9Pcd3j43j58uWjR48ajYYQYn19HVylVCqxdSgU\nCoh3qOP06Zw9sEU57SaTicfjQV/T6/XevHmzvr6OQBF15Q9/+MONjY3v+Wn8vq9Zgb511/7+\nfrFYZDHFzMtcT1gJpvLTTtlqtRJnR0XD14Yoz0gk4na7YUpYLBZ2d3Nzc0+fPsU35+3btyRi\nSKVS5L/lchlyFa8E1hcDvtFonKLV2OU0m81er0fJwzOBet1sNo+Pj9VqtdfrFUIAs+J/FolE\nfD4fZe7q6urg4IDWaXFxkRxY8vfAzXFZKxaLbBfp+DQaDeMCcjiEDxhZ8CvwzDSZTLjEQUVw\nuVzYLrOuRBNIr007rNPpjo6OsPFE+S2EACjI5XKwOyDVwRhbXFwcDofQEoj7UqlUkUjEZDL9\nP/beq7mxMzvbfpAjkXMGmDtKre5Wy6+kA6cql/+cD33gsg9ctlyjKUvyzHikGaXOid3MJEgQ\nAJFzziQAfgdXaZfr+wNi1WAfdEkdSHADez1r3esOhUKB9h/dIwan2CfhFsSdjMfjRJtDhMAw\nr1arSTAFwSVg+oj1UZOTTSOEIPfk6uqKFQUoBJgV5zF4jhACv1MWAMDZ0+mUEBzed5y+7XY7\ndA4yrsDZGbZoqFEkabXacDicyWRAqHg3JX9nyWXw4OAA61eSGdrtNo6yrVYLcovD4eC0IH9n\neXmZ3S+ot91uj0ajCwx6UaCv3ZVOpxmre72eZO9A7bBYLDgm4wYJVYBaBgDd6/Uk400UdEKI\nn376CUUWCABuEjs7O3/1V38F/wlFg9FoFEIsLS2RLAcqCr4h6Qnx/9RoNMlk0mq1ErYkhKAD\npZktl8uEE6KykwJe4fPCW0BpxjZfCAGLi66c+lWtVklpwrVOrVa/ePFibW2NMVyv18MbY4XY\n6XSwkaO/g5DHPwSImM1m+NUZDIZEIhGJRC4uLkajUalUwqsvm83evHmzVCohPzk9PUWGh3Mm\nRk6IGw8PD6EJOhyOvb29UChksVioifP5/JtvvmH3CCGaWUfi4SgUilqtRg8OkY5KBzQPz2Q0\nGoFr4b4NtuN0Or/55ptGo7GxsYEmEyyIiQpStt1uR1aj0Wgymczjx4/X19dheXu9Xg57zjab\nzUY4ANmVrDpgajJzzGYzSH4AaFDiFAoFLI7ZbPbmzRvMWGQy2TfffOPxeHK5HEgaviIIO6Fs\n4vMVjUb5WVQqlcViOT09NZlMuEtbrVbYikwVyMrBrxcd9KJAX7vr5OTk9PR0Op3mcjkMK/L5\nfCqVcrlcb968wa+nUCjcunWLOR2BLMWImbrVamEJz6rN6/WORqN6vS6peJFiQ631+/0wBFg/\nymQy1l/4KGFKSQ1qNptS8HMkEgF28Hq9mUzG5XLR5yIVY+cGS+Tx48fVahVFH6K7eDzOUpHs\nFQ4Jr9dLLyyEkHBwfEHh6rE5hO8FHQLvDpPJRO/Wbrd5+CEOvn79WqfTwb6AowJ8TyyeXq//\n+uuvHz58uL+/D31Fp9P9+OOPN27cMBgMTCQ4RGu1WqohZx7cPmjjtOGvX7/2er3n5+dMEsSt\n7u/vw0XBpI1+lhaYphJwGcgIL6onT57cvn0b1vBgMGg2m9VqdTQahUKhZ8+eBYNBn8/HOIJl\ns8lk4ljlDLi6uvr973+PxEmn04XDYaiEEAcJd8fuNZ/PSz0+rG2wGnRD/H3wNJ1Ol8/nCWTA\nNEMulwshYrEYMJFarb516xYhBmazeTAYsIkFIq/VaqlU6vDwkM2HRqMBjJbcxtl8XF1dXV5e\n7u7uMqbwUdRoNJFIZFGgFwX62l1bW1vYWUANNplMZrPZ4/Hk83mPx9Pv96mG/GXyL6ihMpkM\nVgOPLqqNbDYbjUbxlT84OCB+kFF9OBwSsNLpdLD7oVcl1JW8KGzzgFMpl6R5ptNpLM3AT/BL\nw9pfCIHhLzy89fV1yLDA0/TajOSSXk7y6BkMBvisjkajcDhcKBT29/fxMmb4FUJMp9NKpQKA\nTkMNOwJyC7pBmUxms9lardZoNELMfXp6ipHQ6uoq2XfLy8uMGp1Oh0iUDz74gEGBmR194Hg8\nbrfbrCuJPeTOIJwDk+E9wgOPMUKn0zElILlUKBTw3mw221dffXXv3r29vT21Wr21tQVAkc1m\nP/vss6+//vrTTz9licfxoFQqSSPjJMbvqdFomM1mDLOMRiMO2jqdDjiYyYAxAgogpEwSEohc\n4fhhvMASACEPWhvOTkThDoeDOQzdNvIojhkMs9LpNO8mxk/NZjMWi+GTxZoUv1kMQyaTSS6X\nczqdQGHYwrAolsvla2trGJ3zwXY6nQsWx6JAX7srnU7v7OywVYdrgUrY5XKl0+nV1VV4UfR0\ngKowfM/Pz9nA4FSHiQ/iNyEEbZFkAgdpGnt4HBtQV5M6CDAK0wDPPCEEDSOLo0qlEggEMKGW\nDOwDgQBG0hIvm1Snzc1N6ApWq1Wn0+VyObfbjZRuf3/f4XDQFBeLRXCScDhMqwV5zmg0wvqQ\n8FZk5RxLzA1CCIoXuPlkMtna2gJp4Qxjz0a/BgMBaTWOnXToWNaRe9DtdtVqNSgH0zf7KzpE\nrVZL3iNdJGFjiOjoItGJ4KHKCxgOhzqd7uDg4N69e2SQm83mGzduzGYzYp+kiIbhcIgLPrJP\nGlJWDlarVQgBoxwYB7gW+wtaXVBgFrx8Qvb29iAs1mo1r9fLW8MOEI9ZrKKR+anVanbItVqt\nXC5Lrk+NRsPn83ETWAywPebtQLqCyHswGHCEVKtVr9eLoSDnOqg9qZjsTiF30oB3Oh2CYHw+\nXz6fX7jZiUWBvoZXIpGg0cAj4uzsjPAR5MWED7lcLoIKMaw4OzuDXMHeiYVMrVZD4zCfzzud\nzv7+/o0bN2iHIXhRdtENIyzUarVoiyl8W1tbtK4QrnkNeP/DlyLTyOPxALAWi0XcHgDNabgQ\nBwshQqGQEKLX65GyinAZ/pbD4Tg7O4vFYnt7e7du3VIqlaSZRCKRaDT6+PHjO3fuTCYTtBVC\nCHzuMWIFOkCJp1arsZY3mUwrKysnJycoMqh6DPVw77B5YgebSqVYJzIl4ADX6XSAMjDAQ+nT\n7Xa//fbbe/fuscEzGAywDAkBmU6ngMsKhYKkXbZ5/EqZZl2J/SnvxWw2Oz4+fv36NclYVqsV\nt3uUnAiCWq0W0mqOKCEEYVTT6ZRJhZOAXZzD4eBYIrl1PB7fvHmTOiuTyba3t0kKxiAQjaIk\nB63VaoQDYEDocrmgV9dqtbW1tV6vl8/nnz17NhgMEONw3gNZSHbkrB9gbUKSYfqRyWRnZ2dS\n5gPnPfRNIDVcVtDOyGSyRYEWiwJ9Da/d3d29vT2r1VosFkmuw5PIbDYzD2LQjCEGo2U2m8W+\nDvgSPhyPNCICMrZHoxFBouvr6+zf6cQx0ux2uwTKSXF2WLDzrfE+9vl8lDZ+h0cL1i1/Cn07\nk8nQiAE+fPHFF/fv38e+3Wg0qlQqgE6SscjlC4VCgM7/8i//Ah0NCKLdbmNIf3R0xIoSyBUM\nQavVWiyWw8NDqMFPnjzxeDyHh4cICAOBAFgtKCcWJdVqFTQWx0s84fjn6JtZqeFNwYig1+tJ\nhxkMBnfu3GGNBsdDUnzQUe7t7UHXg7J9eHgYDofVavW7d++whwYfoKPH7hUVXzAY1Ov1SPVY\ntUH5wP+E1S5amHg8DiGn3+/v7e0hD6Flnk6nRE9hogKKpdVqnz59KjHbiN+9vLxMp9OkWxEW\ngxjK7/cztLGh5VPEISGEGI1GkUiEUFq3280KFBx8NBodHR2tr6+DmIH4c8IRdiWEODs7c7vd\nECXxANHpdAT+wq1mYSCEQIO6wKDFokBfwwu6KDPj8fFxMBgslUoAkZCioLhCAZ5MJrFYjKC8\nq6srHO+AMjBuxmWJFomcU4I2/vCHP0BmQDkG/ZayFQgEAHafPn1KJwUPTGriarWa3W6v1+v0\nemzh6Pho8K+urjBmEkKoVKoHDx6wl2PnWalUSIdaWlrKZDLEd9XrdZID/+Ef/oHXz4qSH0cI\nEQgE+CLUNQQmg8FAqVQ6HI79/X2j0YiN32g0+uCDDyBro1jpdDrdbrdUKsFoBn5F0R4IBHhJ\nTB6S9kcmk5VKpVKp9Lvf/e7u3bsKheL4+Njtdp+cnKDKOTo68vv9YKmoH7e3tx89egTzBDvs\n5eXl8/PzTqezvLwshOC8RFF59UsyGXx24sNHo1GhUIB+g0MTwwpCdjQm0Wi03+/zxt26dQvW\nBwoj3FGm0+nW1haQTq/XM5vNoVCIyQAaIotcFnSwJvguxWKRjQL7jP39fckR1O/3P378mGAU\nNo1kt0PKbDab5HgJIZh+gMU0Gg1JBWA7a2trUjI9Z3mv1wsEAm/evHG73Uw5CF5gMcVisRs3\nbvyaj+I1uBYF+tpdW1tbuVyObI7l5eVGo0FehsPhcDqdZ2dnCoXi6dOnJFsfHh7CbaC/JgsD\nYx31L9F/IKfYVGKUjAUlPazyl1QqwuIkP2IhBMoXykG/3ydvEEEdJYxAKYxvINWSZAjQib4Z\n6HM4HOZyOVzurFYrgCPDLyJJ/gkmxfP5XKFQkE0+HA5hjORyOYjGvACbzYZFJ1VVrVbDSymV\nSlhz4Jt6enrKwAGcAskXSrJSqWw2m3C3QfDRwpDY63A4zGazw+GALUOzj2dmu91GXo+Gm1MQ\nfstXX3318ccfCyFYi0mkYIYYvDVIpyXugJ/UbrdzN8i+6XQ6tJzUUzKl3r9/j8Ee2zZGKwAE\n/oOhh7NNr9fjimexWM7OznZ3d202G15IHDNyudztdvv9flz/Ly4uXr582e12EbOQW1ipVHw+\n38XFhcFg6HQ6a2trYET5fL7dbne73bt37zIwvXz50ufzgeowl5jN5n6/LxlaKRSKbrfr9XoJ\nWIBWJISgWEciESLT+F4MTGq12ufzLTroRYG+dlehUMBrAuUCKVBms1kulx8fHy8vL7fbbUzU\nPB6P3W73eDyEQPf7/UwmgycvEuRSqcTIiUSNlgqnUEgO7Nzr9Xq9XpfJZPzlnZ2dlZWV8/Nz\nkEH+IdJhKHH46lHfKTd0u/V6vdFoRCKRb7755t69exAPoOtpNBpim1nH0YTicHZyckIJg3Dd\n7XaZFeRyeTKZ9Pv9dI4Gg4GwLiosTkn8jMi4B4MBlpU4f0IW3tjYgLUtWVvgJmqxWCC0AT2z\nIWS5h18r0CokBymyYGlpCSsMl8t1enoaDAYhNQ+HQ7vdjrGnxWIZDAb0gGq1ent7mzT0YrEI\n7ICVnVqtxjkW8ToINRwG/oIQgpEFxHxjY4PDDET7559/ho6NNg/RCqPSixcvyCFDEA8FiDhd\n7LnZBLImhdJDIEAgEIjH48DHUNRLpVIkEmk2mxcXFz6fj6HB5XJJbs7wMpFuHh4e6vV6Nr30\nBJhkTSYTMLR+v392dgYKz1jAXzg7O2u326ifONgg5/h8vgWLY1Ggr921v7/fbDbr9TpiAZBl\nAkogHvDRPz8/5wmXtCco6wAoAYUBH+AwASZSX2g/2+02wXRAB0IIXCMgDBDqKiXGonQAqrZa\nrXgk4e5GLYCGtby8LJfLHz58KJPJCCqFXdtut/G4oBoqlcpUKpXNZvHtg6DidrvhrjGMI2gG\n1YEEsrS0hPjw6OjoT3/60+3bt+H5+Xw+PIai0Wiv1wM8QS4I7aHT6YBdsE7MZDKBQKDdboMP\nYCXa7XbpZxF9zGazTqdDGAIu9RqNRpI1zudzv9+vVCo9Hg9IbqlU0uv1RFuBeHAUYfIprXOX\nlpawoKM44hyrVCptNhvHEr6gQoher+f3++lYjUZjsVjEEC6fz3u93ps3b5KiDUf79PRUcqfD\niWV5eZlZBAskRiiZTFYsFpGMokviBGVXKZfLcTiS1JX/d62aTqfX19eHw2EymcQFEPPxQqGw\nurparVZjsRjHsMFg4OPBFJhMJiXgCM4+3QM0EqxILBZLLBYj3Y0UN7VaHYvFFgV6UaCv3fX2\n7dtUKmU0Gv1+PzlDsL7o5vr9/mw2++1vf/v5559TRtmGF4vFWCwGVQ77oUwmY7VaZ7PZs2fP\nPB6PxWLBLg54+scff9RoNH6/P5vNUvcp/QjGvvzyy2g0CrI5Ho+9Xq8kYCGcG6eFBw8ejMdj\nxMeoJ3q9XrFYZPMDZGkwGGBQqNXqwWAQj8eRjGNzbLFYtFotVmoYT1Oh6GGHwyFyO5z5SN5D\nIeJ0OoGPoXAhtXj+/Dnubtgu06bhkiqXy6vVKsg+oY4UUFpgq9UKYO33+5HqUZvAi3BY5pCD\nw9tut6mtk8kknU4bjUa73b63t8fSEqm95Fik0WiQnLAEw1Pw8vKyWq0qFIrnz597PB5WgrTM\nHDD8W8zeECtR4v1+f7fb7Xa76PEwuWflK5PJUqlULBZDuYOAqNFovHz5st/vh8Nhkg2gkJMD\ngHWJEIIvwhlAgo8Uc+VyufjsYV9FE41lqFwuh2goCet3dnacTufbt28p/ZgL8vEA52EZq9Fo\n3r17JxEfYUwSe4anh8fjuXHjxsIPelGgr92VSCRevnwJFgmHDBuwwWDwv//7vw8ePDAYDPfv\n3zcYDBi8wYtg64VB++HhId7nKpXKZrNZLBaHw4FxpUwmIzaw0+ncvHlzZ2cnEomQjdTv94fD\n4dbWVjgcfvjwoRCCdR8GlTyKGLFDJmHhQxEEZKTMKZVK0GesR91ut8FgwLMJp2PiuulSd3d3\nAS4I4oLRDKUPPYjEBCCdFnYwMjPItrC2kRF6vV6U2VKJV6lU1WoV5wcOg6WlpePjY04am80G\n3mIymQh1hVJGbjfINaP3aDSC4CGEyOVyWAKhCYR/AmyNxwgoEF9Hp9OdnJzAapDCXzDN4PiE\nH6nX68vlciaTYWdAI/ntt9+Gw2H4yGjHZTLZycnJfD5HMS9lxFQqFXSVuCARKsh7p9frg8Fg\nJBKZTCZPnjxZW1vD+YSDn1Szy8tLyNTQXei74c/s7e1xEHJ20lbjDa1Sqba2tl6/fg0DHazj\n5s2b9Xp9bW0NPH0+n+fz+fX1dczq2Bl0Op1sNuv1erEw1ev1JpOp1+uhHaflt1gskUhkUaAX\nBfraXVtbW81m0+VynZ+fY26JfKvT6fh8PlTXo9Ho8PBweXkZ6/fZbEZUaLFYFEJQMg4PD5GT\nED5brVapR1jYIKqGM8u0e3V1hWii1+vBeSBOkMwtukLqeDablfJJ2eooFIp6va5UKo+Ojnh5\nqATH4zEiGoLDpYAlWqR0Ov3BBx9Ixv/IT6BY8ZdzuRwuz4hH2CIyB2BDgcwBbgnLOpSQGo3m\n6OiIQAPEI/CyO50OQnOTyUSC397eHkRgsAJ08N9///2HH36I7QmY73g8pmqjBwFDwG3j5OQk\nEAjgmkRl5H6iwaP4YrOHM3IsFksmk9xtfPvAnVFmt1otBv/xeLyxsTEcDmGpI1l0uVxardbn\n8xkMhng87nK5TCaTEAJ0RdoWWq3W//zP/4Thh3Dm+PhYrVavr6+fn5+zU9VqtfP5HNe9t2/f\nolIpl8vPnz93uVxYKQFlsBU4OztzOBwHBwc4DvI+xmIxAnbBRpiW2A1IEk0O0fl8TiQb48jm\n5qZcLsdLD8Aa21u1Wk0jD6JFo/CXfC0K9LW7tre3G40GCzQsJTECtVqtW1tb+ALjsEH01OvX\nrzELNRqNwBoYcQQCgeXl5WazCVxIDUUuDOjJZA3gCyjBX8NwXWK/IdjFGxoGGLwIuVze7XYR\n7JGWXavVfD4fXuxKpZJvR+mczWavX79Gq/3q1auPPvoIMFri5/p8Pmi85XIZFVmn0xFCQEPG\n6BIXNAjgVHCEG+wh1Wp1pVKpVqvsxKihqDzW19dRJ9MmW61WCHyw64QQ+ERjUGWz2QKBANM9\nrT2eqC6X6/j4GIA4GAymUikhBARqo9GIXSowa6fTYbOKeRP+nySQWSyWi4sLCCeMHZw6FOJG\nowHHkS5SrVafn597PB6WcgjQCXtE6AFYjJ4IfiHaa5fLZTQaobVB2YxGozDt0LBwRoKY4XQI\neh4IBG7evEncLU0xqe0mk4k9HplntMxHR0dAHw6Hg/2wBOD0ej0GlH6/n06n6f2tVms8Hg8E\nAgDlmO3hXJjNZpHIc1vYkbrd7gcPHvyKT+J1uBYF+tpdBwcH7Xa7VqsB46K9ZgYEB5Q6LwgG\ngLkGg6FcLm9ubjI1JxIJn89HXhzebOCkhUIBr2dc6HA744HEDAh0uNlsnp2dEQba6XQwISsU\nCnSFaNDZ78FyZW5Fd05XS+PZ6/VmsxncL/o+hULBrgnx22QyKRQKbrebLSgwCMVuOp2GQqHx\neCxFbCDBkPz4X7x4wXmDdDuXywWDQZfLJYQ4PT1FTZ7P56PRKEgRAEsulzs/P0exRunh96ES\nyn6JcxVCQLmTMnkpTCjrUqkUhA3u7WQy4Zi5urqiSOEaytECYsO+kYUYGDfSxEAgsLW1tbq6\nyvGGxzclngWpVqvNZDKYO2NeioicnJTDw8NoNIo65uDggDUma2S+FEYZFxcXnJd8X5Ti9LOk\nw4xGo3Q67fP5CDtnM0FHDMHZ7/fj0G00Gl+8eME98Xg84GbQH/P5fDAY7Ha7kpKwWCxK90en\n07FNQQ6u1+svLi6gBpKByc87mUw4/m/fvr2AOBYF+tpde3t79Xr9559/RthNn9VqtarV6urq\n6nA4RAONos9isYRCIcmcXqVSkRJNhwi3CcseNGNKpfL777/f3NzU6/XAghKUTBGEkwcSgqtc\nKBRCoMj2jGUUjW0+n+eQkDKQWDNCrVWpVCcnJ4jOgS9hkmGeZzQa9/b2Li4uTk5OMBjBFKJQ\nKASDwXq9HgwGwShoeFutFr4i2Iey4iOvOhwOF4vFwWBgsVjK5fJsNiNpiZ4ahiJFv9vthkIh\nZgiOEwgGSG8IXuEHUalU6XSa04gJHYoCakAwbqQxBoMBS2jE69Lfx5Ibwylklp1O5/z8XAhB\n7488j9PLYDBAWDSbzbVazWq1op8GM8GbCawfnNput//Xf/3X7du3yUaBi4luk5MsnU4jyoco\nCabExMAkZLFY4IccHx/j4OHz+Wq1GrUSRAVQpd1uI1fBkGQ6ncZiMfywmBhgu0Mzh67u8Xhs\nNhsYPVR6iRRIPBArDY4Hg8HwT//0T3//93/PuIYEH0PXRar3okBfu2t7ezuVSt29e/enn37C\nAEGlUuH4jK1PLBbb2dkBRmStB3+D6imEoMVuNBrZbJZp3WAwHB8fRyIRoqdYGQkhMIFzu92p\nVMrpdHa7XRb0+N9XKhXCmzGdsNlsf/jDH1ZXV6HrIVIALXn69KnH42ERVygU0DEnEgnaWCCO\ner1O8wstWlK+0TbW63WFQlEoFO7evUs3DVvDarWenp7S5kP1SyaTOp0O02Sqz/b2Nk542O4c\nHh7W63UsTIGeWWBOp1NGEMSEEkpDMZ1Opyw/f/zxR7BapVK5tbXl9/tlMhlHETxrVrLn5+dI\nunG7JvqAOR06MLxvg8FAMSqVSvDVVCqVTqf77W9/izs2+BVkPjw8sZGTyWR0+tIeFYkKysmL\ni4u1tbVEIgGGy3I1mUzydoMzQLNDLM6N4q2ERw9Yj+EG1B1WjhDs2BOCq0gWetPp9OLiAjkJ\np8jh4aHD4ahWq3z2uMPhcBhSOfHtL168ILmKbgNBDb6JeLTO5/O//uu/RvGkVCobjQZ3MhaL\nEQTxl3wtCvS1uxKJBC4/LHkKhQK8MdxHkWsPh0PmaJfLZbfb8/k8BQtXSQgDQohAIKDX69Ei\n0o/TQvb7ffR7lUoF3IBWGouJTqfj8XjYXDmdTp5bmhr8+zUaDQAFT6BWqyXDtNlsZjIZwFz0\nYMAIOIfgl49G4+LiAucHIYTNZqvVarFYjCrDFI/9aTqdxuEBqobNZptMJoFAQAhhNBohTWNI\nD3QOPBKNRvEMQVfNqG4wGLrdLsxc9lG5XC6ZTAaDQaiEEh0FNd3Ozk4sFhuNRthTxGIxKvLl\n5SW/Wq1WBCwQfrGaQ5cYj8cJpcU+ibpMaNl0OqX3Rx7JQSVtCAwGw87ODqLKo6Ojzc1NtVoN\nlFEqlYQQ9LZ7e3tSC+x0OsGXnE5nIpHg32LeQiah2Wx2Op2sWym7NpsNiSn6JlyqDQaDZBr+\n7t27SCRycHDA0EAKBK5MaMHBKzqdDppA7ER4Sa1WC4gG9X+r1cLkGpUNSccmk4mzBMan1WpF\nkj6bzZCPCyEmk8na2tpCSbgo0NfuQnPMB1oIAYUDeux8PieEot/vM/XjJCdRKSBOQLlTKpUG\ngyGXy8FnYplmtVpzuZxSqYTEKpfL3717B60Y80k2h0DDRqORPTsQCiQHXDv4X9KYTk9PbTZb\nPB7HJpQSD65CowQ1YjQaoXmZTCagmZg1WVnDAAAgAElEQVRPSnUWth+NHixan8+HB8VkMrFa\nrSAGOH6Mx+NcLodzJr/z3XffRaNRk8kEmQFwQKvVkudNs4xGZjabffPNNxsbG1hknJycrK+v\nb29vr6yskLjabrfD4TC6FTge3W43HA5z9pCtDiJEg4xxM0G9rPKEENxzuVxeLBYRFmIGq9fr\nNRrNV199pdVqwXNoeMFkCoUC1tg2my2VShUKBZ/PJ4lKnj9/vrq6arVaA4HA+fk5Js6czc+f\nP3/48CFm0Ha7PZ1OY0rVaDSI2YXugoRHr9fH43F0TNzVbrdLrPhwOGTlaLfbbTYbIHuz2QRb\n39vbI8RgPp+zpUDSySnIG8qClEGnXC5DLmy1WktLS1IGptlsfvPmDTuGer0+nU459Ylw7PV6\npVIpFouRovmXfC0K9LW7nj17lkql8AmjTaYpIxEOOS+KZ+SCiDUeP34Mr5bAU6ozWg+S8QgC\nxz5YLpfncjm5XJ7JZO7fv4+TmSRZbDabxBEBQzcaDewxWS6x1qdPx6Ti+PgYDkYmk4Eglc/n\nJcoHzSNKRbh6mUwG42B4AtVqlTFfijQEc1haWiqVSnCZ9Xo9iAqObkKIZDJ58+ZNPCtI+cKJ\nH3II8gq03ZKJD0MAKCdaFZZgsGU++OAD5hKlUkmJ5wwTQjx9+hRPQYQVCoXi+++/Z39FKCqA\nMny19fX1paUljgd+orOzs83NTc5RXEYRo7vdbu6b2WxOJBL00TKZzOv1cqhYLBa3253JZFCm\noCZ/9uyZZCjKMMFxiPYETnG73absOhwOj8cD8jCdTtGAYDPdbDZfv34dDAZZFTLxgDhjDUqo\nisfjwdi2XC7L5fJYLAaNErY7VreMO9ls1mKxYIT96tWrjz/+GHcXv9+PRx0gOHr3TCZz+/Zt\nvFOazaZOpzs6OuJTjcxqbW1tNpt9/vnnv96DeC2uRYG+dtfOzk6tVsMyXwhBdhxtBdWBCvXq\n1auNjY1qtcpu5/bt271eD5qwXC7P5/MY0EAtgM4BmYGukFkV+zcWZZwEhA0C2na7XaoA6sFc\nLme323l+8GOq1WoKhcJqteLOAYSqUChOT0+dTifuEHin4XBNg6lWqwOBALUVxIMulVUVL48/\nBUiBooC3EYIO1pgUTWTc79+/J1Hl/PwcdJUl2/b2Nsxx+npM4MjyQFg4mUzojpkw+NGAvEul\nUjAYxHPKZrPRCWIocffuXaCbXC5HUoler4dYBvWbnhSzN/yh0Nyjq2bhyVcAcAiHw7w7bA7h\nmWELxbCC0xBuTRxUYC+j0YiTm7GJ16/VatfW1trttsFgaDQaaHYorCyQEbmglfd6vbPZ7Oef\nf6bPRW20vb3tcDgqlQr4DxlaoOEYRbG3ZKRDLo8632AwvH79em1tjZ8a5vt4PAbFxqJgd3fX\n7XZLmnt+agxXgcURB927d2+BQS8K9LW7ABxhIpN7xAKNjng8HqtUqmQyeefOnUKhoNPpvvzy\ny83NTR5ap9Op0+mwIZ7P51hKqtXqTCZDneI5oVMeDAZPnz5dX1+fzWZHR0cWi2VnZ+eTTz6h\nv0N2MZvNWF5Vq9XNzc2XL19Go1EEC4Q/kZ+NwVCz2WSox0d/Y2ODTeZoNBoOhyAAnU4nFAph\na8cgTHrh1dXVixcvrq6udnZ2JDt5MMp2uw1Xj3LDcTIcDm02W6lUwmSO8FZ6UpjXQA2M/8jc\nVSrV9vZ2JBIxGo35fH4wGNRqNafTSWmbz+dkJHIkLC0tOZ1OekPwYqTeLGxxa6rX66hOYOYh\nAgSogY+BOJs7j3cKWh6/34+OnwHCbrdnMpl6vU6l+81vfhONRovF4mQyITkBfBa8WPpsJJPJ\ncrkMeZFt3v7+PnjLxcUFqhOQExR62EVxDLA8wFcEm5S1tTWMUlkUS0tXlUoFt5Kt3eXlZbFY\nDIfDaLulYY49J/+NHB8kB2tcDKbB2ZeWltbX1xuNhs1mA6nndrndbtjQKpVqZ2fnxo0bZrP5\n3r17v/bj+CtfiwJ97a43b94UCgVoEjqdDvErFI5CoYDCCtc3vV7vdrtv3LiBQSVUs2q1GgwG\n6YjRccBIBW5GqI3NjU6ng9+WzWbX1taazWY0Gi2VSjs7O1hSIMFACAfNAA0IFK7l5WUCakEn\nUSeDiiJ/0Gq133//PU1ivV4nUcVisSSTyWw2C32CkkFTubm5eXFxQYIiAA5W1IQGQEhAWsk3\nhWVMhEomk8EU+/z8vFQqTSaT8/NzTJYlmfLh4eHt27eBZcrlsslkwo4OWQ3ibLfbDXUX8w36\nTcoKCnKA10ajkU6nY7HY69ev7927BwjD8tZisTDoXFxc4I0nhEAhiWN9sVjE9VTygSP5CcYe\nLs8MGaenp9h1Urux5ycVd3t7OxaLsT+EfQw3w2w2o3zBUBTDftSM3EzYJggOIWPE43FkKTgd\nUqMBJeh/eZ3Q8IfDIbYBTAatVgvNOosKQnyQ1P/zP//zp59+2ul0+HjwlREuqVQqi8VSKpUQ\nH8E4IoSz2+3OZrNQKASw9tlnn/3KT+OvfS0K9LW74vH4u3fvmLLpl0knwbuZFjWbzdL6tdvt\nQqFgtVoZWoEpsK2RjCt7vV4ymZxMJpubm7CpMpkMCvJSqVQsFkkFRFuxvr7e7/fxJJtOp/F4\nPBqNwhQOBAKFQgEhr/L/BBqxcry8vCQynM6L/aFarX727Nn/+3//j50hRv44wF1cXFAfoWxj\njiGhkOjIqZ7QV6AZwPa7vLzkR4B1QHUASIU853a7afdgSlxdXXU6HSB7KGVY6AHQc5K1221e\nD8W6UChA8kNSQYIBgafT6RSnYywjaEjxb+M/gNG1Wm0gEHj//v3R0VEoFOLo4gaazWYow3Co\n8Z7WarWNRoMwM6YHFpK8HpVKhfIe6EnaK1BnMR2FSUmMA078cCVVKlWlUgHYKRQK2WyWW4Fe\nhreDm69QKH744QfUMXTrBPgeHR1BNid48OTkhBfTbrdBIZ4+fer3+9VqNaqiq6ur27dvz2az\n58+fk3AmhKA0szvNZDIrKytELqBjZNwhIw2O+aNHj9bX13/lp/HXvhYF+tpdBwcHlNSVlZXB\nYEClBqu9vLwk3RVAg2oC7QnWsBDCaDRarVaoxGzG9vb2VldXGcwlswumb5PJZLfbccZBjvjq\n1atPPvmEZR17PKVSSTgIdCuc4Xi2dTrdu3fvqCB45GNIjeeOWq3+6quv/vEf/9HwSxY4Pm2k\nC2KEhGkcwdjFYhETD6VSCVBARjidI/Q4qrkQwuPxTCaTTCYDxi2Z9VCCkTVDfZHL5ejgJZwd\nDgz8FlzfuJ8A03h6ILc5PT3FnBPK4Gg0crlc3FsIJNRl2kBwc4Jui8XimzdvTCZTJBIxm81C\nCAQagUDAaDQyAVCwOFqurq7++Mc/2u121NtYI2HNgYbwp59+CoVCOzs7RqOROs5bSUI5KHO3\n24XageY7lUqxHsAnABBfqVTeuHFDqVT2ej0OQtpzvPQmk8nq6irib3iBMpksFArRjE8mE5YQ\nMDK1Wi0klv+bNsDKpFAoQD1aWVlJpVL02jBELy4u2u02fBVWEePxmMXAeDyu1Wrclna7HYlE\nbt269es9iNfiWhToa3ednJwcHx+Hw2FKJEyAdrvdbDbxuoSzdXl5eXl5SVAe5Umn0+n1euw4\nJPtKuBaJRALBBexUPHmvrq54ODudjlwuf/HixfLyMkUQCBUmAJQ7rVYLQXV3dzcWi52enkJo\nVavVJHSAXENBK5VKr1+/DoVCd+/eVavVOKJVKhUmgCdPnrDyYvsEBDGbzaxWKxQu6jK1mH7Q\n7XbXarV8Po/2j3NLqVQGAgE2k/DwNBrN+fn5ixcvPvzwQ+ZxRMy0e6z48BedTCZEa1cqlfl8\nbjKZaI2J7GNOpwyNx2PcrpFNExfCFouDE14NMk65XF6v19kurq6uEqp9dnYGfZChpFwuBwIB\nmNTYCcnl8n6/H4lELi8v37x589FHH9VqNQygmU5UKhU/phCCOQl0SKPRHB4eAuwgXTGZTIAq\nbGth1F1eXp6cnITD4clkks1mMTCSyqWkcecIJMOFIxPUu9ls8qU4NkjYsdlsoBDQHJeWliwW\nC99uNpux0KavZ408mUyi0SilHJ4M0kemCtB57hISKrqQhRfHokBfuyuZTOZyOTTKk8mE+EHa\nIrPZfHl52Ww22Y9j3qbT6VBkXVxcdDodwkBZvLDyolmGQUwdVCgUFMoPP/wQWtVoNIrFYo1G\ng66KCg6rz2Kx2O12JuJWqwVHwuFweL3eXC4nhAAHYA0lpVA/ePCg0+mQ1GU2m9PpNIV4Op3C\ngLbZbLPZDL8nSccImMDDL5fLT05OzGaz3+/v9XocFVarlQAXIQSsFSTviIYxElpbW6M0A4Cy\n6WJJRVuKADoSicjlcm4RPTurSETtarW6Wq3C1cPnnhGE/eT/td0gWUar1b57945jDDy6UqnA\n115dXaUU4shxenrKLaKNxd2t1WpR3QKBQLPZtFgs5HBzEieTSUhvrOP4FjTOTEXg6RixQpkg\nnFtiFgohcP33er39fp9dqxACXib8mVarhTMfOe7w81CUzGYz+IgEKpKnxQSGqoisGak080mD\nC8ScVy6XEeULIQiX+eGHH1ZXV+kYgH2wCoCi0+v1bt26teigFwX62l1Pnz6lrTObzZDGIH4B\n/g6HQ/oOLPN5QgiiLpVKgUCANof2qlAo0LhRvGBAU+BGoxGSOTjIGo1mb2+PjM52u03hgNQM\nyezg4MBsNrvdbhQE1G6KOyoDqgNmFIgbWXChjWZxVKvVPB5PuVxeXl7u9/vil4gjBBQw4aCa\nIB2eTCb4O6PNYU0H45j+HXPORqPBN4JHAclaq9Wm02mlUnl8fKxSqXBGJWal3+8DegAFYKgG\nhk4hHo1GcO/Y0wIoU1U1Gg09PsAFjsnADvfu3SsUCr1er1arYZai1+tx1eCQYGKAMwfUzkwD\ndi+BTlAsOFkzmQyHE97Nq6ur5XKZLh4ptgS5CCH4J0IIAtRhsFCdCdWt1+vRaBQQjK4fMSp8\nc1xhgcW1Wu3h4SGLDdAMvV6fy+WWlpY4R4FoisUiNLtqtbq3t0fACkLtpaWl09NTIH6ZTIYW\niaORSWJ1dXVnZwclJ6C/w+F48eIFvktLS0uhUGgRGrso0NfuSqVS9Xr9/Pw8GAySAML4zAJK\nqVSiY4Z3zCiKIIXS3Gw2U6mUVqtNJpNs/FlzUZh4vE0m08uXL5FIsMpDMiCTyZLJ5PLyMg79\njLdkX2Gf32g0LBYLkhasNi4vL6mq8BMKhUK1WoVx1ev18O+HU8GsLQGvODHxwDMC8zpfv35N\nZqhcLseOcjqdnpyc4OBOMwtnA9QCmTXAOqCN0+lEJgelDCN/Mqjm8zkOn5FIpNfrYSjKck/C\nr2GPwGqADiGlBULsE0KAntOYcz6xPSPjPBKJlMtlIQTUF9jiqDGVSmWhUMAsG/gbjSVkZCEE\nTnLT6dTpdBK3GAwGR6NRKpVaXl7udrs0sByQAN8sS0mAxKauXC4TicDZTE1E+aLX6wkwQ46P\nPUClUgmFQnAWG43GkydPsNMCtcf6amlpCYGMVqsFfmGYIzWtXq8/fPiQXh4IDsIfpOZ6vc7H\nDJIG8xnJv+PxuFKp6HQ6KWgcAgm404JmtyjQ1+569+5dNpuNRCKoBiCcMQaWy2UgSHway+Uy\nMclYrEH5gC3Hx51QO5VKBX6K1RyGHn6/PxAIdDqd3d1dZBT8QyI56BklLwueFhouaFWXl5dk\ntSCLwBvz8vIyEon4fD4eVEZ1sp0CgcBwOIT3BoIpk8lgsEGXxnZSr9dD/4Br8fbt25WVlVqt\ntrKyArxDTiPjMJabmPIsLS0lEgnKOiMFpbbf7zOhM1LQ3RMvazab+S64i7Dymkwm1WoVhz/K\nNMG4lH6TyZRIJKS4P5ZdnDcWi+XZs2fBYHA+n/NGgCA/ffoU11ZGHzp9IGCTyeTz+cgWAObG\nHQUF4GAwAKfCdB/XCwquw+FgP4HQhmOPUBjSGLRarcfj6ff7TqcTn40ffviB5LDLy0sw30ql\ngvASY418Pk8ODj7a0soBjMVut5dKJSKpzGazWq1uNBqdTieZTIbDYYxG6aPZ+O3v7/v9fnCn\nwWCAft1oNILn8DGAr03iLXg0fA+z2Vyv161W69ra2ubm5q/9OP7K16JAX7srkUgUi8X379/z\nhMAPpdiRIKXRaGB3MS/7fL7Xr19jsPny5cvNzc1MJiMV2UqlgmMOpskAhdLjWqlUPvroI1I2\nvF4vwXHYzGMVBBtPp9NtbW1JfKxer4crabPZRALO0gyvSykOajqdNptNpmAaZ3oubJQNBkOx\nWFSpVKz12UHJ5XKEv+PxmCn48PAQzJoutVgsrq+vA3pi8XFxcZHL5Uaj0fLy8tHRkRAC/hwG\n9hwkJMkCCpVKJYPB4PV6qdTAr+AtnH8g8jgHIaB49uxZOBwG8PH5fD/88ANh21DF8ebO5/Ow\nGIUQ8XgclKndbq+urioUCrye4SMjgKZVxBsIBMNgMPD+4qGhUqmKxSJMPmLa6fExFcF0FKtS\nzmyoGlRnkA2sQWlpJeMU9hNYfY7HYxAweDhsOFkGwONGpkS3izcTvYJKpSqXy7du3aJhH4/H\nkHy4LbQCZ2dnTqdzOBzG4/EPPvggn89LboJIlgqFAhj6xcUFwbLffPMNW+VEIiGTyRZudmJR\noK/htbe3l0wm19bWWLuBD+IeyY4bngDII4ud1dVVdm5AwMyzDOaS8+RwOAQBBI7IZDKIUIrF\n4urqKs8SKAEak1QqxWgMTgq9TwgB3IloG1ED9VcIAf7LfyC0oU9Xq9UwZ2mj6GffvXt3584d\nmmUcf0qlEig2TGohBDGJUH0h83KK0N1DCcfaye/306JCRqTE53I5kFZMsf/7v//7/v37JOSS\nyKfX69+9e4eyht+Hfuf3+/EFfPr06crKilqt3t7edrlcgUDg6uoqGo3imzGZTDh+SPJGi4iN\niRDixYsXdJfVahVtCJtDj8eDEJ/XKfXpuG2cnp6CVHCraXK3t7eFECzieI8ASSiCBwcHGHHg\nh4fAjySdg4MDDvLLy8vf/e53m5ubCJem0ylKdJPJhD8G3Gq73Q50BpslnU6DqAgh+JqsQzAY\naLVasGhgEKrV6uPjYz4M2ODR+DNMcPpqNJpqtZpMJpPJJH90enra6XTu3r1L+ANIF/vYYDC4\nSPVeFOhrdyUSie+++w6FNK5v4/EYRzeQVmZD+Ex6vR6pXj6fR/2BcAPTH5PJhECZvA9pyY6a\nYDab4ViG8psyMR6Pq9WqRqOJRqP8QzhnhEIdHR3RhSFrZGJlzCeohV9lMhlAZKVScTqdlUqF\neZ/HHnkePkF4KmGygTtlPB6PRCI4ftjtdhabiUQC4zR8fA4PDxFk03pDLGHxdXJyAj7Q7/c3\nNjaYBlZXV+Vy+b1797LZLBFi5MwOh8NoNCqE4Eh7//49hxlrQ5VKtba2BvcjGAxi3gSU3Gg0\nUEiHQqF8Pm+327Va7Zs3b0CiQWP8fr/dbgchgel8eXk5GAySyaTP50OwDukFVaHX68W7o1Ao\nJJNJt9sNjoyEHVI5zlbYFuIcXS6XnU6npC06Pz8n9htgChtxjJA+/vhjqBpmsxm/PYVC8fjx\nY3yctVptPB6XyWR2uz2RSEBu8Xg8LCFgxbDHw/FOoVBwM1GrsiDB3g8HamxshRD7+/tAZxDk\nId4Fg0GHw8GSYGVlBZ+pQCDQ7/e//vrrv/qrvxJCRKPRRQe9KNDX7nr37p1MJtvd3V1fX0de\nQXIgMCVKZafTCc8hm80yY+LfxsxYLpfPzs6USuX+/v7a2hqU4VqtBnBJWZ/NZn6/H8UEkR9L\nS0upVKpSqQSDwVKpBLsZcGA2m2GwIIRg+sY8c2tri1A+OGQETdVqNZ1OV6vV9Hq9z+cDRpAA\n036/f35+DqLNEQKll9HbaDR6vV5yvJxOJ+J1mUzm9/tTqRSd6dXVFWGJ7Mr+7d/+7c6dO1S6\n3d3dR48eYfdMyRgMBisrKzj9g3FfXFzUajWAVCjAV1dXkMcl4h2eTXK5HJU5B1W/36ftJdqG\nwVyj0ZA1DisO7wtWtbiUCCGw5AZBrtfrN27coEqyWxNCEN6KwO/Nmze3b9+GtG40GrHYxzJl\nd3d3Y2Nje3ub3vPt27eg/2yA+dGQRF5eXv700084ONPS8hoA+mFtlkqldru9vr5utVrNZnMm\nk8H4FBzf6/Xi3A8hByCFDAEixMxmM2atvV5PIp9Qu00mk9frhXwym80wR+z3+1I4C6A2UAle\ngHq9HuEPi0RgeqPRiNP/X/K1KNDX7jo8PMSEQQiBQkwIwQcXBBn+A7+DdAJFr9FolMvldKBY\n+i4vL19cXCiVylQq5fF41L8kXiOllf2SVUpXyNxKFYbixj4K7jDGeET81et1RNi4SPOyl5aW\nYrGYEEJy0jg/P4eeRaE/ODhg58Nr02g0rN2QQZ6fn0+n00KhAFEXq6Orq6tvv/02EokgQTSb\nzScnJzTjgUAAX3lMR1lP3blzZzwef/fdd+FwmGoFfNFqtVA/v3v3jtdcrVZlMhmxjXK5nKRB\nIYRcLj8+PmYn1u12v//+exrhJ0+ekGOrVqtBHpj9me6hh+PxZLVaASh0Oh0gj+yXK5FIRCIR\nWMBSxHWz2WTl+ObNG7PZLKW1Mh/ApVlaWnr//v3du3fdbjdnKkb+crn87OxsaWlJpVKxv0Vk\nD9UH2Br6PIZZbEoVCsXPP/8shKC1JyzN4/EApkM0RCYuhJDo26lUCl8ttVqNT95kMnn//v3a\n2hp1mRMFlggtBYgWnEJoSL1eD8YOon8gb0AeSrxcLvf7/S6Xq1gsfvDBBwvD/kWBvnZXLpc7\nOjrCpgARM2R+WqHBYADHC6ZBuVwGrTabzbTP4XC43+/XajUeVHzUyCuBFUD3CiSKBxMGQE+f\nPr26uvL5fGRQSSb0dEYSRkFFpoTxIvv9vtFoBPUGUWm1WhKGyzD+/PnzO3fuECZCews0ubW1\nBcXYZrPhyZDJZHw+HwpDg8GwsbHBQzsajX7++eeHDx8CDrRaLVrser0eDoddLpfFYun3+wTQ\n4PEGqs4xQDdNFDr5L/DwHA6HEALbIDQv4XCY6FsIc+AJRP8h5iyVShhoCCHA0L1eL27I4/GY\nxSwtIWExkGd6vV4kEoEJjjM93qepVAqnqng8jj0FwuuffvoJJ2uVSoVB1a1bt8CgQJw1Gs2r\nV69I7QMQx3OKTd1sNnvy5Am8eNSDtVptNBpRfLGag0IOc+bq6urdu3f4aUwmE7jwrCU9Ho/T\n6WQJUSwW2RXrdLrT01OEJMVi0eVyYeWBvLBUKsFKlBxuaaLb7TaJCmhTWUhiTstYBnaHh5TH\n41lAHIsCfe2ueDx+fn4+m81AJAAEtFqtpNvGvpJAbiEEwzjbKiwycrkci6xOp4NUDEt+tOAs\niOgTWfcj893c3PyP//iPTz75ZDQaff/995FIhMpL3VEoFOVyuVqtUj6EEJBnTSYTUsNUKsXD\nn8lk2NdfXV3dunWLiJZIJEI3ijkGr3M8HlP4Dg8PEV8wDeCgBhNDr9eDMwyHw0ePHjEUs8iC\ngLy8vKxQKBKJBMcDY/V0OoUQhnkTvbwEnj579gx1ItbSJycnlPJKpYKckn4QJoPVas1kMpLL\na6lU8ng8oLEII+F9EyOL30iz2VxeXuafUFLxGIFIw4wCcwPuCvLCzz77jJQGHFTgnM1mM/RH\nSEYZdywWS6PRYMdIsheuWGRpl8vleDxuMBgcDgdrZD4DGo2G+w8vyOFwYOqNZ1M+n19eXob7\nSCAZmwAYRPTd2N2NRiMogEIIlUqF0KZWq7F3bbfb7HJJXuc4ZOxDrY4sBSYS+AabElTv9Xod\n2240SguIY1Ggr921s7NDpBtooEKhgHmmUCgODg4we9Tr9UdHR5ATwPio4Gxm1Go1K0GS4vgL\nbP+Rq02n02g0WigURqOREEIul79588bj8UBJxotHJpNBG8B1GhSSB48EWDATdkQUONyOAoGA\nzWbT6/UnJyd0ysSLEJCIrZLT6aTZpHjh04Tpx2QyOTw89Pv91WqVLwsyi6cSDnN8TRL28POj\n9EAUQRINUHB6ehoMBlHGp1KpcDisUCg+/PDD7e1togutVityGJlMRjgeSBEANPO4VqvFgy0Y\nDPZ6PdKywXygHDABEMgyHA7X19dB6sF8rVYrtzSbzYIJoO7jDtPMkteuUCh0Ot3+/j6xL6g8\nCD0h3QYDaw5UvjgtOTR5UJq1tTV+qFqthtTT7Xbj1wq5BVsoZI24GBKsBaVHpVLl8/lbt27t\n7u4iVce7o1KplEolo9FIPiF+A3yi+v1+KBSCr+1yuTgA8GmB+s2xxMsjoh7X6XQ6TTgDrI9m\ns/nq1SulUrm6ulooFB48eLCQei8K9LW7dnd3MaWcTCZ0u+122+v1FovFlZUVnijMeUnpdjqd\n1AVUdmazGYvRq6srsGwwSlonIQRmzTh4rK+vI3MgKFqn07HLstlsZrMZMYLf7280GsViUQgB\n6IG5nRBib2+P8VmlUuVyuVAoBGeD74LKWcrnFkJQEZRK5ZMnT1qtFub6aPOgpjidTkh1lUrF\n7/fjrcFhEA6HYS7TKnIO4aHscrmwECH5++zszGq14ptRLpeZOTqdDlac3A1+Fkyp2FaZTCYh\nBA04BnUwXqbTqQQH9Xq9lZWVer1+enrq8/mw4ebNIqwA1D4ej1ssFkB8hUKBwz2Zh+FwGOQa\nIrlSqTw7O7NYLIwIrMugQnP4NZtNo9FIuInJZKImUvhSqZTJZFKpVJlMRqFQ/PGPf8Tkns8A\nr8RsNoPOA9R0u10qJmp1g8GA7xI/PiYevV4PWw+9Xu90OufzOaRAh8PBpwJrOsAKLEx7vR4d\nOrG8wWDw7OwM9By3PGAunBFRtyoUisPDQ0LrlUrlzs4OCu+Dg4PPP/8c/rXP51tkEi4K9LW7\nTk5O0uk0+yIWUC6XCzB6Pp+XSuaGkoYAACAASURBVCU2WsPhkG2VQqFgg49CmqZ4NpuVy2Wq\nT7PZvLq6woMG9wn0IPDkQJPD4TAJKZTppaUl1vqssK6urrxeL65AqJAlS+Xl5WU4sCzHDg4O\n8Fei/edRROyAMhudhcfjUSqVwWCQHxlfHvJkse4LBAJv3769d+8etveBQADZiEajef78eSgU\nstlsNLwYRyBfBgPFZl4IYTab7XY7ZQ7AAUgU5JcX//79e6vVSnmllSapS6L9YsHB4E/ZxXVT\n4nTTUTKasJOki0RaWS6XZ7MZ8iKgVWz5YrFYp9MpFotOp5PTlMARms2DgwO/3w+y/+LFCzwx\n6JHpfGu1WjQahS4SjUbVajV8bdypJEP9TqeDhSmhKuxmgYCEEHK5fG9vD1mm0Wh8/Pjx+vo6\nWDDqFRJ8OM4zmQwJsHzAyuUy55/X6zWbzSgJOSDZ+LG3PD8/9/l8nAqA3ajVx+Ox1Wo9PT0F\n9PB6vZT45eVljUaTSCRCoVA4HL5z586v9yBei2tRoK/ddXZ29vbtW6oz5cbpdNZqNT7T0qxK\nGwgUCFliOByWSiXgZih3oH5KpRKJsFwuxwC+3+/3ej25XC49MDAZGo1GKBRi4W6324+OjqLR\nKLv1+XxOZwqLlsAkJmIMeuS/hN2h8kAXQ7dFe05kCSY+sDIo4vyK++iLFy9wHFar1bFYLJ1O\nO51On8+HGTHrzWg0qlQqE4kEPh5w73K5HDQA/Ekkjhr3CvYL0udsNgvFDWM8EKR8Pk/8EhDz\nZDJhB0huAHJElUrFIUFRBl2dTqfoCXHtABHCCRb2hVarBWRHjEO7arPZ1Go1e06dTkcnzrtP\n7PrDhw+hnFssFpTixLSD+H/11Vcej8doNIIz1Go1vrUUi8VbjJ4llUpBQMbpolQq+f3+Wq22\nv7/v9XrD4TBKUdjx3MOff/4ZZaBSqWy322az+fHjx8FgEJXNYDBgmFtaWsLafzQa4c7B5gB8\nA3sQ6HoqlSoej6NWn81m+/v7EHL4kMdisXg8zsHAoIBs3eVyPXz48Fd7Dq/HtSjQ1+7a2tqC\nIavVasnFgMQ6mUwwUUun08CCWMExrsJVovUrFouxWAzPSeAFbO3YmAFWICRjHTefzxOJhNPp\nJBqKtQ9yZKqPSqWCGuV2u8nRYCr/6aefwuGw1WrFOAkuAaUKJgA9JlAJQy7tWK/XE0Ko1Wry\nXOCHoLwIhULAu6VSyev1/vDDD3RkMBPm83mr1bq6uvL7/RSsi4sL1omSBT5sDSEEvpqZTIaT\nid+nei4vL2MZSF4t7hNEZ9HXn5yc0JJDL+GEUCqV/G+n0yFhBHyJdaUQgjhEDDwxjEVczkYR\n/aEQgkGh2WyylKO8IgSHOIGCn7cpl8vl83lIOMlk8vLy8u7duzShWAMyG0FbBkQSv0R9U2Sp\nffwRXECv1wuCxHlTrVYrlYrBYFAoFCqVamNjg164XC6z24xEIhqNxuVyJZNJvV6PxoQmPZ/P\nGwwGTOmKxWI0GpXL5X/4wx8ePXokqYFoMnjf5/O5z+c7OTl59OhRtVpdXl6ez+ew6WHcGwyG\nL7744v79+xsbGwsMelGgr90Vj8dJU0ZzpdPp4vG4TqdDAodChE6HTz/StS+//BLTUa1Wy1pJ\n2vJjHiSTyd6/f48rDfpv+jKHw8HWjuGX8krQJ41wp9NBGoMRB4WG5JGNjQ3Kk8ViwTkIpJsd\nWrPZ5JXQmKP/Hg6HuVwOr05U6ZKo5OzsDL/gZrMphCiVSnSpTADT6RRtzsHBwcrKymw2Q61e\nKBQ8Ho/BYDg7OyuVSpeXl+DIpVIJb1IUepPJJJ1Od7vdaDSKriSRSCgUCrfbjZa6Wq16vd5Q\nKFQsFvFKhQwuhACWge7S7/cnkwn8cZgq3Ct6Q/4IcFYIAbPl/PwcdjMVfzweHxwceDwefvxS\nqUSjDYfv4uICQR3LN9aqt2/fZiEMhQP1SqfTSSQSvLNgF7Tn9XqdyBjwetjH9NeowLe2togG\n1+l05XKZxSMLYbqBvb09IQT5JlhNKZVKTlnWj2yMQWYggwLKmc3mZDKJ2FUIwYKUQ0sul2ez\n2YuLCyIXEIICUoM4gx0xLZGNGYlEFhi0/Nd+AYvr/38Bp9JQUBq8Xu/+/v50Or17967X6+Wh\nFULg8iyTyb777rvPPvuMkorrMWRk/CiYQ8m+Gg6HOp0Oj2Zyid69e4efZ7vdBgNFdJdIJNhS\n0nNRvl+/fj2dTuv1OriHXC4naq/dbrMGZH3EZgm2FortUqnEZGC1WkkqsdlslUqFoZhiynKJ\nTNVmsxkOh4PBID2mwWCQiMZ0wa1WC8SAokYp/+ijj+ijhRC8QplMxo1SKpX379+HAJ7JZJDt\n9Xo9UOlYLLaystJoNChYy8vLrVaL8FkWgLlcDh8MMmprtRo6GgwrUqkUWwGdTkclvbi4cLvd\n/OB37tyx2+3Pnz9nSQvI8Oc//xmMhQNDEtrpdDruRqFQsNvt5XIZHT8ABbs+h8Px5s2bWCx2\n48aN6XTKz8JbTFkH6EAIbrFYWq1WOp3mBet0ur/7u79j5hgOh6urq2hPIOq8ffsWFiCyF6PR\neHh4iDQRq1IwH44EjLSY5KDl9Hq9jY0N1pj4jHN6fffdd4QtmEymVCrV7/dLpRLdw2QyyeVy\n0LrhL8JsWV1dRSnzF34tOuhrd+3u7tZqtVqtBi0Uw2UiSrPZLMaeYBfQez0eD5RV1onZbJYn\nGRKFWq0ulUo4ddy7d0+pVPJETSYTjUZjtVrJE0GqIKU9YRUNAwwUEj1hNBqFLgIXm2f++Ph4\nY2NjNBqBOyPP8/l8DoeDhjcSiSh/CZbGbl9ia+n1enggLKZw9kHjgImE3W4Hh8ExudPpBINB\neHXQ2ujH5XJ5LpejXjebze+++y4SicDSxYdEo9F88cUXbrebV8V5s7a2hiVePp+Hr720tARt\nQ6vVdjodHOjBW2lgJ5MJFkgsDDFCCoVCoCu4WU0mk1qt9uc///mjjz4CCmi1WqurqwDTBoOh\nWq1+9NFHmUzG5XKxpUyn08wKp6en7XYblTbicmhwDDeQ51wuF9Q6xOto93nTNRoNjEn0nI1G\nw+FwgIT4fD6siFBsCyFUKtWrV68ePHjAbCSTySDn8F5AyIG0Nx6Ps9ksCWHYgdL7GwyGk5MT\nZEHgM+Bm+F8jQO31eh9//LGUYYgVARm1vDv4fGHMcnl5eXR0tLGxcXZ2dvfu3YWScFGgr911\ncnJCGCAtm8FgSCQSQgiUWnSIdNmNRgOTDWoQrs3grYCzP//8cywWk1zo9vf3+/3+YDBoNBrk\n5lUqFYiocC2EEDabLZvNhkKh7e1tMOutrS2me0BYSNDA0Gq1emdnZ2NjQwgxHA4RKTidTrRk\n9Xr9iy+++Nu//VuYGFBfOV1o9AqFAkFKtVqNJ59OUKLfDgYDlJMYMXOc9Ho9i8WSTCZhvxFv\nKITwer0oJyU/KbyS2Y7O5/OVlRW3281SazAYECZAe1iv1x0OB6Aw+Xtut5twP6w5oIdjBoRa\nRHL+I0qm2+1SScPhMKA5pGwY6JlMBs1Lq9Vi7EBrwwoRIuBwONzZ2VlbWyuXyxS4eDwODYNl\nGtIhDhLYO/F4nP2qXq/f3d0lxgWWHnkC2FdRx0l+YEsM+LO0tIRx9k8//YR7KqYuHo+H2Ssc\nDhNxgM4bZAN1PvGy7PS4Y+l0GtctXjwqGCxtGX0qlQpB9ZiD4wkOMgMXs9/v2+12XFyMRmMo\nFFpg0IsCfe2uw8PDXC73+9///tatW6CQJOPReFKj0RMTMoIb2bfffqvVan0+HyzXfD6v0+k2\nNzdhOBG2gpKbDA7ITwg6hsMhosGrqytsJYrFolarLZVKLpdLp9MFAgEeOa1WC/YCljqbzZB+\nYNwjk8lIXYFEYTQab926xcuGRYssBTvTdrsNNaLZbDILOxyO77//nl6VIwEv/KurK9DPQqEg\nhCiXy5RywO5yudzr9SaTCaAN8g30Ju12m/2ew+HAjw0aBoJDwHTJ3Y0X8/Lly42NjVqtRnFv\nt9s0y+fn56FQCP9Szgw87dDUAaSwiwNgyWQy+/v7t27dogUGd6pUKna7HT4ZuzUwB3AkEFjJ\nMQ7ScSQSyeVyUr7qixcvYrFYu92GHrOysgJlRQgRCAQGgwFafEiBmPHv7+/zBbPZ7G9+85uN\njY1MJkM+Cy7MRqMxEolgXYIP4sHBQb1eX1lZOT09dblcvBK4ktDsRqMR+DVEIO4AC23eWah4\nSFghWZOrgjchnq7gXTidlsvler2eyWRms9nq6mqtVuv3+zdu3FgU6EWBvnbX3t7e0dHRxx9/\nDJkBcxzGSRgXbKKm06nX68XFrVKp3Lt3z+fzUUFyuRzMXIQJMAQGg8HR0REEA1yDGULRvNG3\nxuPxyWSCix7lxm63T6fTwWAgDadyuRwjhVAoRDnACY+qyvby6uqKJ3M8HhMRrdfr//SnP0lR\nHSwz+cv401OIQ6EQLxX9Hn7HACCz2QygU6VSwREUQsDwBULBcoi6TJ9Oh1ur1Yjm6vV68JHx\nR0WLCDkE/vLLly8DgQDxS/Sh+MyhX8fKlXwQp9MJqAqvBtqcRqPBJ4+sdBCJZrM5m80YU2iW\nUd9ghATNGdgKvSW2fxqNhj1ko9HY29u7efMmShZ8PEiMhYY8n8+ZSxqNRjKZxIzJbDanUim5\nXK7X6wGLkDLFYrFkMnnz5k34MDS/LIFtNhtUbpKuotFoNpvljIQKScYjLQLgDGNKv9/H17TX\n63E3KOX1ej2bzfp8vn6/j6sXX9lgMPzxj3+8e/euxWLBvSCbzQaDQZ/Px7l7dHTEEnh1dXVR\noBcF+tpd8Xi80WgwMqtUqlqtJpPJUC6QsAfSt729vb+/z/gciUR41NfX1yeTifRMAkqwzJGA\nDtgd9JiAs0IIvubS0hL7sVar1Ww2T09PDw4OIGDQs1OIMd+Ad4EADD1ILpejwefZU6lUdKAY\nGJnN5m+//XZ1dVWtVo/HYwhbkroMx0tmcLfbjeMz1skMzjCa6fjISyUxGkqD+EUhOZ1OHz9+\njOkPGg0hRL1ebzQa9OnALyTJokjEvxQ3H8mfD0i9Xq8XCgWgFb/f3+/3qaFWq5WcPTalMpms\n2+1SrdRqNfAChQxHUNIGOE3Pz88tFguxL4eHh59++ilnFa+fjAJ4Kbwj8B0xuxgMBt1uF101\n+X44BcL2Yd+Qy+XYTA4GA2710tLS//zP/3zyySeslDG3m06nCoUCI+zBYPDDDz+QRVmtVq1W\na6fTuby8RAlFRE4ul3M4HOVymTMM5AfEDCYMJP1MJuPxePgibHSJU+j3+9PpNJ1O6/V6JJ18\n2pPJ5OrqKkOJUqnE0IPD3mazffjhh7/ac3g9rkWBvnbXv//7v/MBHQ6HrEqEEJFIZD6fl8tl\nihEmxffu3YPcSozQ7du3afoYbzFxZ3fEuhzEgBYMyhdbI7KpyBLc3d3FSSMajXo8nps3byI+\nnE6nqVSKekGkFpRnp9N5fn4OvIgOTQjR6XTY18MUhImhUqmWl5ebzSatNPQsABP2/jB2SeLA\nNM7tdr969crj8QghtFptLpfDH6parUJcwzgJgsHp6Sk670ePHtH51ut1EBuHw7G/v+92uwuF\nQrFYXF5eRgtuMBgkckK73Q6Hw1jfwVYeDAbBYDCTyZB0xWYVbi9NNzvSRCIhgdRYKkO5Gw6H\nrBNJfXS5XF9//bVarUYX+uc///nOnTtg0KgHz87OsEOiLI5GI/jRZrMZzhm5NsFgMJ1Ogzhh\nS4SRhRACR1a/3w90oPolK7bf79+9e5fv4vF4ZrMZ0QeINjmobt++zdYxl8ux5mUryzwhhDg5\nOQmHw0ReYQzCRwiW5Gg0wu3IZDKdnp7yoV1aWkIv0+v1+IhGIhFY4VDsWcCiICWZDA8p0LP1\n9fXFknBRoK/d1Wg0EomE5BC/u7uLMz0NL1wudnFS5DagMDZgIIn4KxFdCH8OfRftaqvVQnNM\nYilsChKniJtj0KbKaLXara0tn88H2pBMJoPBID01LeR8Po9GozTm7XabkZaxV6fT2Ww2r9db\nLpdZSxoMBsZhcGF06gjTzWYzWC3rOxx5YrEYEEe5XHa5XLST2F/QSlMCmJ1B4b/88ss7d+5s\nb28T5TWZTLrdLqUQQw+JwthsNi8uLp4/fx4MBmlOWa4yqXQ6HZBQt9s9HA6z2azL5Xr8+PH9\n+/dpXZVKJfabWKYEAgEGF8nR4uTkBJ8mwrNv3LhB8tNgMIhEIpAcJpNJqVRqNpsejwexDJJL\n9JboUJxO5+7uLqwSRD1UZKTYiPfIqeI02tvbo9HO5/PVapXyRx0slUqJROLDDz8k7LFarabT\n6ZWVlZOTE8nIG1MkKi+DQqVS2djYoIlGCeV0Ogks393dXVlZqVQqdNBCCGoxjEDlL5mWGIJj\n1MVSEeSHBe/p6Smf5G63S+Ll0dHR3/zN37B//ku+FgX62l0nJyepVArfdGS7fOJh+FOLEe+C\nSAohEJKx94NrJYQg3TWbzZJPwSbw8ePH6LgAEykrfEFKUq/X8/l8Npvt3bt3gUDAbDbXarVY\nLMZ0j90ExnVms3l7e9tiscBXxUPy6dOnDx8+BJCVy+WHh4dsk9RqdSAQqNVq5CTZbDaacVTd\nz5498/l8vV4PV+v5fN5sNsmdwoO03++zjJrNZj/++OPNmzexZHr58uXa2hq1DFa1SqWC0EZ6\nIWHV8FLI5ZLL5bSNKEe8Xi9GEM1mEwMKiWZer9fX1tbS6bQQArxepVIFg0GlUlmtVuFWE57g\n9XqXlpaAaEHJlUrlaDRC8UgV3traQulHVYLel06nIZmh7EBT3u/3Z7PZeDw+PDy8e/fudDpN\nJpMkImq1WgBuypxMJkNRDWw9n8+TySQTACgwcAFvwVdfffX555+bzWav1wvoTJTiyspKtVpF\nlkkT8PLly4cPHyKVYglBP87BIJfLS6USVJZWq/Xpp5+yDMSRAw9beCDz+TwejzMEvHnz5sMP\nP5QEjTabLZFIcC4KIUKhkJTdxTr3xo0bFotlAXEsCvS1u46OjnZ2drA9w6UBpQYAInUWu6JK\npXJxcYGsGUsHGh86SnJaMd7t9XpLS0tEDQkhyHaCG8D8Dr7MxgkCXzAYbLVao9Eok8mAEdP1\nAGKgExmNRuADhBVptVrsKeD/4cUBM5p9IFsgZGnEJlUqFZBQYpxQVPPzyuVyu91erVYpcFg6\n1Ov127dvk1kOsICBxmQywTXp8PBwY2OjUCjAHXzx4gVGmvF43OPxECs+Ho/NZnO73bZardAz\nUMPTKff7fYh9FD6DwYCYBX0jx8mdO3eoI5ilwEekusGrQ5KHAR6a8gcPHmBOxPDR6/Xy+TzV\nXKfTAdRotdqnT59ubm72+/1OpxOLxXC/wv+IVRusSmwrJA8/QHmMsajj1G5wGNyyHj16xKYR\nz2gyfzmZKJrsM/EAwB2UuYq2Gg9YtVqdTCZjsRg2Jli/cufz+XwkEvnXf/3X27dvKxSKdDrt\n8XhisRjvIEFZpHNB3HQ4HJhlS0ls2KuaTCaNRqPVar1eL3EEf8nXokBfu2tra6tWq6l/CWBF\n8XV5eZnNZhmEMVvAHI7u0m63j8djnlIcG1hqdTodnDSm0+nx8bHb7caJTS6XYyQEoUImk2Uy\nmXg8jrAb8gMcW4BpSUhCLaCG4vFmNBqLxSI9KfRYeBTUCKR3qD/wv4fWxgaMaCuwF8IVnU5n\nMpmkQ+TwgMvB/op+kAWUEAI7TTgG3W4X4i3Ij91ut1qt0+mUSA69Xu/xeC4uLrLZLOUe9Jli\npNVqE4lEOBwG94BUPhqN+v1+pVLhB8dRnkTXUChEk3t5ecnX+d3vfre6uioZQL9//547T61h\nD4ZPLO8da8PxeLy5uYl6BbcTDmadTgc0hEKyXq9zwkm7hOFwuL+/jxP09vY2hteI+ji6OMKJ\ndFAoFAD61WoVLDufz3M8GwyGeDwOV6fVaoXDYd79+/fvF4tFZJwXFxej0UipVOK/0W63Q6EQ\nEJzJZGLHe3JyAnTGpoFzbjwe//jjj2q1moRcNJmkmgGpcbDRT+j1erPZDIeaX1k1Lwz7FwX6\n2l2JRGJ3d/eLL76w2+1Op7NQKMRiMcnw02AwNJvNwWDw5s2bGzdu4ImTy+X29vZo3FijtVot\nVv/FYhHXXYI5UFvQCGOx9P+x92bPbd7n+fcXALES+w5iB7iKohZTirxM+3OTHLQH/fN6lMm0\nnc40k2TSuE5jO3FsyZKsjRLFfQEBYt93YicA4j34jJ7pvP+AOVM+Bx7bokBsz/297+u+ltFo\ndH5+vrS0FIvF7t27JxGrQ6HQxcUFWyCj0VgoFIBoFQoFopJ2uz0ajTKZzPLyMpoaUlcoc5VK\nRYK8U6mUTCZDW6HRaM7Pz8GvES46HA4wEIgWuOogMwFzp/SjrOv3+wQnovxutVoXFxcINAio\n1el0ZHkAQeCdzSOPRiO3212v1z0ez7Nnz6xWKycBBYJCr9PpkKJgy0fJA4cZj8cIndfX1zlv\nKKyFQmFjY6NSqeBDgkKSHnk0Gp2cnPD+//jjj2Sw4kdIZi5EbI4uRKH8Tw5dvEPNZjNwMPA0\njL1wOLy2tjabzYLBYCqVyuVyRDSEw2GlUsknSDYVOhqNRkOUF0sFvV7/5ZdfEi0GtVHC05GY\nk+ECjRKf1fF4HAqF+M5Mp9NAIMBHw78zQjF5sA5xuVycHOhLa7UaSMvi4iLJhLyHVGo8v6D2\n4+8xmUxuMgnFTYG+htfx8XEymfz5z38+nU4LhQIgpmR8gyAtFostLy+jWrZYLB6PB00KPsVn\nZ2dY4dhsNm4kskiIeU2n02jHWUnt7e2trKycnJxAUmYdr9FoCDxFqSyEYJVHqAdAislkAjSg\nTQPZ0Gq1qH7Pzs5WVlbgxtlsNrwg2B2hF9doNGjNx+OxXq+Px+Pkb2GKJISg4sPh43HAE/if\nGI8olUqn0wlBZTgcIr+WyWTc4UQX4vMJb0EulyOTCQaD9HT0pIDCl5eXL168wM60XC7/5S9/\nWV5elsvlyKx5BzASwecIp1a2W+iDMpmMVqsFisWJKZPJwFx88OABnhtoPWQyGUtIvFiBs7D6\nDIfDQohOp0P0H3I7PKxxCsXdwu12f/HFF+vr66TMWK3W8XjMwUBvS1lH/e/3+4fDoRACf8Hx\nePzo0aPd3d0HDx7s7Oy43W5yA2q1ms/ngwjElAACg7CTPS3Bhtlslh0JvT8OUD6fD+o9gAmc\nd/z5TCbT69ev79+/j0tMLpdj64AudDQa7e3tLS8vX1xcQGWRy+U+n+8G4rgp0Nfu2tra+u67\n7+iXDQaDJGajE4EUFQgE6J1hOhNpAeQqPjCCgUeEEJlMhtAm8Ef0bIPBIJvNYh0pCQKxHItG\nowiILy8vX79+jS8Etz3Sc3yOMKLDuQ2ZA1khEA/u3LnDg1xcXLx48WJ5edloNELDmM1mW1tb\nWKCheCT4dTgcxmKxYDAIhev58+eQrHFfYoc5nU5hfQkhYFwAvgshEBA6HA5qEFQwjgSUafDM\neIbMIjSziUQC81IoELPZ7PT01Ol03r9/H5t83F9BHiqVisSNo7nmwCAl3Wq1cmRK+DtyHtJj\ns9ksrSVlazKZkPn96tWrQCCAnwbAghCCf1K1mSQQhiALZPFLl006Cfojto7n5+cINXmr2VKA\nkACbHB8f086/fft2aWmJdxjBy2w2KxQK4E4E1zKsQBDqdrtY9CHs1Ov16P4tFsvCwgLHOd9J\nCeVHhjObzcLhMD2y1+sl2lilUpFbiM03Fk5CCKVSaTabI5HITQd9U6Cv3fXixQv4SQRYwEzI\nZrMajSafz3/33XfYa+DCDOJBR5lKpW7duoWwGNHtu3fvsLV0Op2ETLMiA+uQyWQ0axSv3d1d\nt9sNV4R9ESM2NA+2SclkUq1WS9px0rkcDgc2N+QAUPTL5TLOGFhqIBfmFSFel8lkPp+PzCrg\nCKPRyF1aKpVmsxm9oVwuJzeL1FHceYhi4mHplOc+WPJj2aFWq8/PzwFwLBYL+km6++FwiMSD\nZZdKpSJbttFopNNpg8GAjw99PQGMbEFx+PT5fKPR6P37906nMx6PwynkbEMUgxr+6uoK4JVf\nCizOCUGbCcTBXjcSiQwGA/KixAfvPZ4G5GK1Wt3tdlOpVDgchhxitVrT6bTJZMLU3+/3g24r\nlcrz8/OFhQW4jC9evHjw4IHRaPzTn/4UiUQINxBCYBjicDjYzsGoQfoIvzMcDstksqWlJWJx\nwFXev38PxKzT6SqVyvLyMm5HHHg8Yf4pqQoRyzCZbW1tBYNB0hKkd4kRB/F3IBCQmJ1CCK/X\ne5PqfVOgr92VyWQODw9pWiE5QZ4TQhgMhqWlJbhWbOERlVCU9/f3I5FIv9+nwaGzY4vF4gsz\nhMFgQDVfXFzEsn08Hnu9XlaCtOGLi4tCCKbv+fl5tC3caVBus9ksdg2gHHiVQYaF5kE0CU49\nDocjFotRRoUQk8mENd1gMHj//r3VakXILoS4vLx88+aN1+v1er0IZHh1uVyOlCb88mnnof2W\ny2XJnRVT42w2C3jC1hEP+G63WygUsGGCjQBUCqOjWq2enJzcunVLCIFZj8ViyeVysViMIcbt\ndh8cHITD4UKhgNv9aDTy+/2IyCXdihCCUosPFGRnIFe6chYDrAGIREFhiKIajJ7PlHRXphCk\nhhxL5NoAWNlsNhwt6JfBspgMhBCYdgoh6vX6rVu3lEolXqmEtOKQp9frf//73wcCAU47wmd9\nPl+lUsF3dDgcHh8fo/3D718mkzUaDcIPAb673e7Tp09/9rOfAVgz5+VyOaIIOWJlMhlgHWhS\nt9uVABks9/hP+IVMJ6urq3wi/5evmwJ97a7t7e1Go0FVZbimNgkhqH3T6ZRdPJahqOaQflQq\nFSA8uFNyufzNmzfhcBhrHqVSeXZ2hjkkvVg8HmebhK8QZo8PHz6kcSsWiwDQ5XKZto791cXF\nxdzcnNPpLJfL7KP0en06oi7cqQAAIABJREFUnV5cXOz3+5KpP+Yh4BI4l6LjwBva5/O1Wq3F\nxUUaf2zjEdohNQbzTafT7LLQBGIcQRdPI8a7REIjIU+SxzzHT7PZFEJAbIB0KMEL0GAwLfrL\nX/7y8ccfk39IbwtAwctJJBIbGxupVIqmHlNWQCeNRvP+/Xuc5oUQCoXid7/73cOHD3Eg4vXC\nNCfmFYOO4XA4HA7BKEBIcFXlswa6IQmBV4EYutls4plHxAxMdrz0wNMtFgu1j6DFd+/ewWHH\ntJbzVSaTZbNZDLC0Wu3t27d5qHfv3hFrSWhOs9kMh8MA3O1222AwYFRNmo8QAq6nXq8PBoPL\ny8tCiFQqxTxULpeDwSAguBAil8sRIcYL7Pf75+fn8GoYzmDg8ZFBnRRCLCwsoEj8v3zdFOhr\nd8VisXfv3kElhl0LGD2bzYjgw1a/3+/jzoGZJ0qBTCaD7TLAK/cbPU4ikUCRIZW/VCrFXYGd\nW71eNxqNNGLwn05OTsg2HY/Hkk0oyXJ2ux0v0MlkwjYPa/Z4PG6329nmY5lED44nEVyO8Xgs\nl8u9Xi8eQ9Dm5HJ5LBZjEwipYH5+vlwus1JTq9Xb29uwg/1+P6rri4sLhGfLy8uEpLC1o4ZS\nfXq9HjD05eWl1Wo9PT3NZDII84xG4/7+PlGEl5eXn3322bt379bX1+v1Ok8JiKbf729tbUUi\nkVwu53A4bDYbjSHAd6fTyefzy8vLGEJdXV3FYrG5ubmlpaVisYg9G8cqfA+fz4cJkd/vp7MG\n7Z1OpzAloJHQ2rN/czgchUKBhtrj8bjdbvAlUB3CDRgIQAygFQshfvzxx4cPH9Khu1wufFSm\n0yn11+PxpNNpnjPpji6Xi68Kah2Hw/Htt9+Gw2G2i6TwpFIpo9GIhHU8HiOWaTabhLa43W4c\nEHU6XS6XI+wqlUrhTFKtVi8uLtjZzn0IOUPQNBgMvvjiC8z/cEFpNBp37969MUu6KdDX7trb\n25O8cYUQOp0uHo+TZIpnDS699FxID9j+6fV6FFzD4XB3dzccDp+cnPAIc3Nz4XA4lUrZbDbI\nrczUoH7VapXbm9GYhVi73YaAJYSAugDczH2F7Bgbo7kPnuvVavXWrVtUSbVaTUBJu92uVCqQ\nLiAyYz1MQ43RD5wHcACfz5dMJgljtVgsSDMGg8Ht27cXFhbC4TAGnmq1Gh50t9tl2ymEYJ+G\njQmGqLDc8PpQqVQulwufUp/Px4kCc8PhcNAwgh3Bk6O2TiaTYDC4s7Nz586dbreLt71SqTw5\nOQFEwrANvjDwAkbJ8XgcB2ePx4NVEAaBnGdnZ2cYhGINiMYEegyMN7vd3ul0vvrqK7Bj3IU4\nyWCtTCYTwHqpyxZC4KQKvzAajcbj8UgkgnqbzUQ+nw+FQrjCkjtFSCOeJAS77O/v8z2ZTqde\nr7dWq5FNvrCwkEqlEDHBloGqz/cHkZHFYoFnaTQaX716ReY344VGo2GMUCqVLDwJh2VK8/l8\nRqPxP//zPz/++GOlUmmz2UKh0A3EcVOgr921v7+/u7srhMAbAYWVTqfLZrNra2sMwkqlkpwU\nPNSFENzPg8GAyD7I0UtLS36/v1AoUM2BI2QyGfoCOFLJZJKJmE0Rghc0hzB5qdFzHwLrsGYm\nuRV0JZfLwXUDUqS/QxAMYg4SjRSb4g42Qv/FVN5sNoE40bDo9XrUOkqlkpYcbTE0NRJVYNf6\n/X5CkiAgEnGNWIZC8P79e7fb3e/3MU2tVCp6vT6ZTIZCIWBui8UC37xYLLLwpInD9S2dTlut\nVsz7YW3DPIOzIcU7IaH+7rvv7ty5U6lUFhYWotHo+fk5ykxAHpfLxWEAEY0PRQjBgA8FeDab\nSYJ+lCwkz87Pz9PnDofDQqFgsVj29vYCgYBGo9ne3gbxuLq6Oj4+XlhYQPkNOZ1lhtPpRBJC\nyA5sQtAnPEzo0Hu9Xrfb5WdAJ9LptBAC0Smw+/z8/O7uLtQXpVLJuzqdTlEGmkymRqNBYKbb\n7Xa5XHq9fn9/H0Y2H4TFYpHiFDhvWDzAxxdC8JxVKtWnn376092I1+K6KdDX7iK7L5lMonzF\nCnlra+vBgweIKSBdCSGKxWIkEsGvmemYWZ5KiqURER7ke4JrCyEo8UdHRzAc0G3DCCamutvt\n7uzs4D3GQBqLxdbW1ur1OnEkFFZ27iyOWq0WzDC8jIfDIekBgL+wBuv1ulR/AbJPT08l4PXt\n27fRaJRGDJse/vPZs2d+v58SQx3BGAiaF48DC5uezm63MzUDXg8GA1R5RqPx4OAAuzjiP9gu\njkajfD6/urpqt9vxKrm6uqIOVioVMrdisRjnBL8RN4mjoyPJSQPF+erqKls7dDfBYLBarbIM\nEEIQQ4OlPQQ+0HDa1VqtxlsqmcQCbTUajUKhwMKQkzUQCHBWmUwmNP2o+Lrd7tLSEmbNcCRw\n2TabzSzfqPJzc3MejyeVSjkcDoTjL1++xKoJn3HJDI+OGBsT6jjbYJyzcNTix1DARyIRtEtL\nS0vD4ZBtIalXGo0G1IhDlPeN+ESs/nDRGg6HAHRqtXp1dfXOnTs/6b340183BfraXW/fviVB\nrlAo0N6urKwMh0NKp1KprFQq1WrV4/E4HA5aLWZktVp9fHwcCARAmQuFAhaRyMG9Xi8KPcoE\nSzxUJxhosESixaZPl8lkVDEiEOnK79+/j+8dMQKTycRut1MEiWXB9+Pbb7+FI0VdqNVq2NTB\nw5N0vUQQsJ8kTXU6nTabzYODg7t373I+cbtSgPgrKNpZWDG5Mw3Y7XaCCOhMr66uCoUCGCuo\n+n//939vbm622+1gMEjObK1W83g8zOwajQZ/KNZWTqczlUotLy+3222CtTDJJBAAWICiA5iD\n09P8/Dz/SSYkehabzUYie61WE0J0u12r1bq1tYXHJuAVrhqz2Yx3FV0ocjsQIbVajexwNpsl\nk0kko5IAEjst+I4IvoUQ4/FYasbBqeFIgDacnp4CE0FCZ1lqMpkODg7g2NAFcxJIueYE0UIu\n5NsobaoVCgURtxyT4FfNZtPr9cIT12q1Ozs7GJnabDYqPkc+KcOZTAZCEQPfjdT7pkBfu2tv\nb49KpFarIbHREZvN5nq9jl2vyWSiRqBvpiaiJCwUCrRdNpttcXERXhdyiUqlwoNAkAAb+eMf\n/3jnzp1Wq9Xr9ZACM37y75KYDXN9j8ezu7sL6xaNHy0S1RN5YTabHY/Hd+/eJQtGCEELj+NS\nvV7HHgQ/DblcHgwG4aiBLLP2tNvt5OaRGwuVhdgntCoajaZer3///feRSITNmNFoVCqVYA74\nnU4mk7/+9a+ffvopHsSDwWBjY4N+DXk3PSzoB+l5UgarxWIplUp3794lFAanCyEEZwawDDYp\nLNzYDSD1HA6HbrebvhW9BpveTqcDSG2z2ba3tz/77LPhcIixtRBiMBh4vV6qcyAQkMvl5XKZ\nwYhsFOJaAG1lMtnCwgKhhaS1BgIBZDggJIhTeBMYOxiwtFrty5cvnz17trm5abFYisUiWZQa\njQZ3Fyxe0eyQb+L1eguFArNIsVg0Go27u7tE9uBFh4U3S8vJZBKNRiXbWEh1mUwGlhFbBwge\nLBKPj49R65jNZr1eH41GWSMfHBx8/PHHNx30TYG+dtfe3l4mk8HsDe4qaissgGFHFQoFo9GI\ncIsOFLqVXq+HgAxblokY0TBOEQACrNRZGT169KhWq2k0Gq/Xy8a/1+tRE1kk0nvCCZtMJoVC\nAb8LtVrNHTubzba3tzHiKRQKyOEkizV2j5JrKJni8Xhcr9dT7La3t3U63WAwcDgccOA4kGjQ\noArQHup0OvwfhBCwNRAHWywWk8kEqYtWWi6XJ5PJpaWl9fX1TCYDTQI0g0aVAwPfPippLBZj\nk6nRaBQKRb1et9ls5+fntVptbW2t1WohylAoFKlUipkDvBXmydramhBCpVJB1WCnxwGA7Gg8\nHpOTLYRAVJlKpaCr42dEa0xYIgcGFnGqDznZOBp6PJ79/f1QKATNY2VlJZ/PQ5rk0D07O8PY\niHkrn887nc7T01P2rhyrer2eDwKcAYEo4iY8+TBIYuVIQGKn0xkOh4xci4uLUF9KpZLBYACP\nZnXRbrdrtRqHGfZSfGqQC6EYlUoll8v1+PHjnZ2dX/7yl2SS8Ty3t7fJs8eZ5OHDhz/lrXgN\nrpsCfe2uRCLx6tUr5nRECkSRMsleXl5SgilGzKHkiqpUqkaj4fV6t7e319fXAWQJiMPu2Ww2\nIzVmq2MymUwmE2AFddBkMikUCinTBCgWdYNGo4nFYtAq0un0+vo68S4KhQKo1GAwgAvrdLpy\nuQwQjDj4iy++cLlc3W7XYrFIHtCYLyM5wUnDYDC02+1Wq0WyLYtB8rZ5ApKaXAhxdnam0+lq\ntVqv1wMHRzpMo8fjCyFSqRR64uPjY6fTSVPP8CElWDcaDWgwaNxbrRblldHE7/dXq1WWaeQk\n+Hw+UkV4M9lJIsHHPoXuVS6X45E/Nzf36tUrn89Xq9W8Xi/OGMz1FxcXnFWlUqnb7WYyGU4a\nUF21Wh2JRAqFAvALE08ikQiHw9gMEUQr7R4g21DdlEolYxbK8sFgsL6+zp4QMkmhUOj3+7i8\nkh9GvA5HCH7cRBQeHx9DjAGrIXTxf/7nfz766CO+hAh/YIPI5XISsPiuEnQANo2sFGL127dv\nNzc379+/L1Gh8ULx+Xyc7jqdbnl5+aaDvinQ1+56/fo1lAY2ReCGdLKXl5f4yms0mp2dHYPB\ncH5+DuBAo9put3O53K1btxKJBDgAw7harc5ms/RN+XweoiuqE24k7mGDwZBKpTDDRL6If79M\nJjMajSqVivUR2XRyuRxOxbNnzyaTSSQSwZoDXSL8k0aj4XA4gsFgq9Wil4RwBr4BnRb+79XV\n1cHBAVkBf/jDH/x+P40YHp4qlerly5eBQIBRXQjBbo39m8fjgXCNRI23wmg0Uo4550BRELap\nVCqppuMQDesuk8ngeMcrrdfrVBPYu1qtlv4UgyeWb6SZ6PV6oFjgXUAJNNksJ3FVhULHmm40\nGkE3BCaKx+OLi4uHh4f37t3b29sjzQ/Igo8bA2icnjCv4LU4nU4ID3j74ecH8M2p9sc//tHj\n8aDg73a79Xr98vIymUwSVkIeDfRKqrDX6zUYDLFYbH19HQGqyWRiYOLghDfyz//8z/CLsBmo\n1WqcT+DLGIZgIuh2u4+Ojsiy4hs+Go08Hg8HcDqdZvZKp9OwMC8uLnAaWF1dvZF63xToa3fl\ncrlUKoUhOsqC4XC4t7fHWE1fLITAX4J71eFwaDQazNvY4DudzrOzM4/HU6vV8GuHOoarw8XF\nhfgQFAtLDCYAASsowhUKBcRnyMW1Wg2UljTCo6Ojfr+/uLjY6/Xu3LkDu9lsNmMzbbfbQTNJ\nJoS9G41Gsa8EGAWwBjUul8sajSYajZ6engoh/H4/PFkW+jRuNptNOk5Y1lG/UBtS0XhFmBoL\nIbDOiMViBL/yfBg1SLpaX18fjUbomBlQsK5OJpNGo9Hlcvl8PrTgZrP57OyMpRYya/pNjFI5\nRGkb8/k83AmtVgtdAda5wWAYjUY4VCQSCfJiyCJBjq9Wqzc2NlqtFgw/umCsQrB45lkhswYy\n/uGHH2BfYHnRbDZx/hsMBlJy4CeffDIej9PpNKOJRqN58uTJ6uoqzqhQdMQHTidkyufPn2Mn\njd+h1WpFxslRimLl+PgYZ6hOpwNpB2skvLMvLi5wFcdUDwkMm2deCKpOSB1gaOQqdLtdsijl\ncnkoFLrpoG8K9LW7njx5cnh4SMwdFcFiseC1f3h4CEaJDQKMYyEEuuRKpULJw+kRBZrb7Yb5\noFarQQMpUkIIqhLrNbfbXSgUKJqDwaBUKkkWEMzp2A8Fg8H5+flYLHb//n2/3w+5DUyZhf7C\nwkIikeDx6/W6wWCAWoC2AuIwRRA6hxDi5OQEP1KKAoIRGlLqkdfr3d/fxymUSkGbLOEAPp8P\nNiGdIOlftVqNuACHw5HJZHB9yufz1WoVSQhOQHBjUDmWy+VKpSKEYLxgAUgiwWQyicViZrOZ\nY5LfC2ejWq2iXdzb21tbW8tmswS84vsBJRwhdSAQwLoPA34+7tFopFAoMP04ODjATYk4Mc4h\nogOAicEcyBgbjUYbGxuwMrA5xV/w/PycppvzjEj427dv82jNZnNtbQ2Tqffv35N4wATW6/UA\n65nJHA5HPB73eDzlcplvESwgcshwf4aHPj8//+23325uboK0TKfTVqt1cnLi9/vp2XFiQuLv\n8XhwvFOr1Z1OZ/K/AmcvLy8xub26uqpWqzd+0OKmQF/D6/j4+PHjx1artVQqBYNBTMsmk8m7\nd+/YqFxdXXk8HmmBLo3hXq/39evXOO5nMpnJZEIeCstDfhjuAQgmrSiPwHKMUGo4edy3KHdP\nTk7QRNAqCiGkKd7n8/3mN79ZWloilrTf7+Ooh4L88ePHvV4Pnkan0yE7ajgcgpDQjkGJjUaj\nr1+/djqd7PEHg8HTp08Rl2MJT4sHPoCZHLWAlABSWmq1WjweJ+kOQvHZ2ZnVal1aWqL0UEOB\niTGdoILE43G2cHK5/NWrVx9//DHC+tevXweDQShup6en2M7RLM/NzeEBLZfLoXDgMQSYC1cd\nTB/9IfRqOB7gLcA+vP/I/xYWFkgR468zNBBJQ0QLaQbIAnd2dngTsFhhiOl0OpzlgA/9fv/q\n6srtdpM7xbqPCGC6VyApNPHSiULvzJoXbsZoNGLNi/E3XT+RWqw6Ybbkcjl4OzqdDjPFYDDI\n0RKPx/Fa4bWDhuFAgBcgzgR4k3IA+P3+G4jjpkBfu+vdu3ck+HF/+nw+iUolUazkcnmz2YzF\nYhCKB4MBUd8sAPGNnEwm0+k0mUxSE3O5nMViqVQqoNtSjiomGyqVan9/n26XhtdoNOK7ptfr\n2ePhZSOEoDDJZDKG7ocPH15eXuZyObPZjPhYCEGard/vx/umXq9DdGUGJwkFUfV0On337t3C\nwgJqhcFggLEZUjev18tzHo/HpVLp5OSk1+utr6+z2mLLR5Xc2tq6desWoDAqD3DMUqlEZSQ1\nlQZQq9XyijKZjMfjqVar0Wh0d3c3Eom43W5Uef1+PxwOg7RMp9PFxUVeOB4a0AGz2SyAL/gp\naSAMClqtluK1tbUFHtLv90FRUqkUnBl8tCeTyW9+85tHjx6x5+RodLlc4oMhESz4k5MTvV4P\nCjQ3N7e4uIiU3+l0mkwm9gq4QcEUzOfzdrv9N7/5zd27dyVRfqVSWVxc/PWvfw3BkbMZLF6v\n17PYpArDujk/P2doIMas2Wzm83leO+xs9g1OpzOXy/l8PiEEm0NyJqEP/epXv/rkk09gdLB7\ntNlsVGTo0n6/Hx7kt99+S3jYcDj0+/03EMdNgb52197eHvouck7hlqKBZlWIFI3UwVqthmex\nyWSiW8T2E5tKtBLQzqxWK0RpWlcoVpIVA4YJrVaLkFB+BsSQx4en/OWXXz548AA3ZzpEuVze\naDRwEGaPBOmCDrper2OBZrVa5+fnU6kU9DJqCuoPk8nkcDiocdAnlEplOp0eDAYej6deryNc\nxhgIaFKr1R4dHUWjUSFErVYzGo2vX7/++7//e6oGMD3/ztN2Op2IU4BH0VywxLPZbLu7u9D1\n/H4/zLZEIkHwIM8Q0J8+/YcfflhcXKQbzefzeD1DHGYKMRqN7LtOTk7C4bDJZPL5fA6HgzZz\nb2/P7XYTEMNuFlcNUrRJjMzn8zxt1CWtVoupHy9QrVbLwo3hA+okADonKA6C8BH7/T654AQ1\nsCrsdDpkm6FFgs/Hu4ELYD6fZzOMVLXf76NyRNEeCoU4MlnYjsfjQqFgNpuxi4K/L60Wkfx8\n/vnnKMXx7uAgQWjDgqTRaCB9XF1d5VU0m81QKHST6n1ToK/dtb29LSkvptNpLpeDxFapVEBv\nMZ9kJXVwcGCz2UhZdrvdEK1oHoGq6eaoBa1WC8AU9oUQolarcZ8DcGs0mv39/Vu3bsEeEUIA\nUHAPAzXU6/VMJuNyuRCtMVnjDaJQKAgcQTbGLbeysqJUKlOplNVqXVlZQVCH3ppWEZsOTD7h\n7SGePjo6wt6MmVqr1b569WpzcxPIEiqbWq2GKUw7abPZ2u02ymmKCF0tdmsUZa1WC0t3Op1W\nKhWHw4EkHe9p6Arw2MbjMT7LFEfJC5tjA1IH1Bo89f/lX/7l/v37Ei2d5d7V1RXh6zzVO3fu\nSHpxDjneAclun0RXTlDMAp1OZ7fbhaiuUqlYF0+n02w2ixs1kwdfCdZ6UlQ2NDv8US0WC/ni\nKMVZmSYSCaPRyNYR5T0mAVAy3G43ablCCFoElg3UZUBkrApR55OESc4AlgOtVosdIKc++Bh0\nI7zuAKMbjQar2mKxGI/HMYwNBoM3BfqmQF+76/T0NJlMYmFB7tTFxUWpVMIaTXzI8+73+yx8\nUHYQlgzO8Pbt20AgwPqFn0fNheMPOytsEHDFE0IUCoWlpSWZTLaysiKXy9+/fx+JRKrVqsFg\nqNVqSDxAV9BGk7RkMBgg2+HywcwLDwHfYSEEcC00BvRjyHnJ4WYZaLVaY7EYZh3Ywo3H42Aw\n+PjxYxx8bDYbIMP333+P7TUQh06nc7vdWq12a2vLbre73W4KXzqdXltbQ7zOACH10VAjKIu4\nxc9mM0Ckb775hoBXtI6kr85ms1KpRKGs1+sLCwvNZhPlBUMG9hQKhYLjJJ1OY/ocj8dh1Bwc\nHMCawLRkNpvh4mYwGEBaOEWOjo44L5eXlw0GAwAFnSmqE4PBkEwm2YgylJCnPjc3l0ql0MuA\nwEAqBzWWEm0UCgX2s0hJ2X9SH+PxOGi13+/HyBDCO54tuMv+8MMPGxsbMpkMayqArHK5vL+/\nHwwG9/b2cAtB2CK97TwUB4bBYEDIOh6P5+fnyRqXy+VHR0fr6+vtdltKRej3+06n0+Fw3BTo\nmwJ97a79/f12uw34oFAooOVS4yTJMmJlSZgAfRVZyvz8vNPpZIVoMBiwmnv58iUD/ng8/vd/\n//fPP/+cLd/R0RH1PRwOp9NpYG4Kx+XlJZgyNQi6K7b6zWYTJIEBv1KpMD7T6sIYk2w52W4R\nOYoPA0IGKgJUwkKhEAqFqtUqBHAMLqj40WgUnTH5SQsLCxCxh8MhVAQ8MdBP000LIahHzWYT\nNyLJQYnoWCFEtVq12WwgwjxspVKBZw1/kcMpkUh0u11ssg8PD6WcGsJr6MfJWiU5BckfOD4Z\nV+12e2Vlhf4RL1M2ePCs0QQNh0Mc7jFvYsAnnLBUKrVaLYQt9OO4TXU6HTh87Id9Ph8fzcnJ\nSTAYTCaTxGYzJ+Xz+UKhIITgoAVgQUbEj8GGxMM6n8+73e50Oj0/P88kx2eN8yd2elBuYPWE\nw2FCs5xOZ7FY1Gg0x8fHSJCAuabTKY+v1+vb7TbzCmomTAdXV1d5YhB18Be8uLhYWlq68YO+\nKdDX7jo5OcnlcqVSqVqtSsURcoXP50O8q1artVotaZ4QrWq12suXLxcXF/P5PPf/+fm5RFry\ner1Ie/V6/SeffDIcDmmF7HY7ts5sbJBpoKtWKpVADdxUFCNYVpKbcz6f55yg/EkqCehTaGpY\nNlIu0+k0gAkzdaPRoBHmiYGx9no9IggwGKLQe71eAgfi8ThlBUWD2WyuVquM541GA74KIzZe\nEMDQEhUBViKHDUwSIQREl7m5Oc6ebrfLMpDoQvhwtVptaWkJ5sPFxQUO/bVaTTq6ICPTU5Mv\njg9Us9lENQ6SAy06mUwaDIb379+T7cs5h0tGJBKhH4c4nEwmg8EgIiMAXIIWMTtlJ4EbFIA1\nEIdOp8PWGbNDrFnR9cC8rtfrV1dXEgrE333x4sWjR4/Amjls0KCOx2O4Qzs7Oywz0KZrtdp8\nPi+EQESOGWkikSATB7E48xlqHSgurA0PDw8XFhaEEDxzXgKeiLPZDO+O1dXVm0SVmwJ97a54\nPI4KAIcjvseMmUqlUsJwVSoVwyZTs9VqXVxclKRlaOqEEJRO0EYsLhuNBtIPOvTxeAxqgVcR\noS1oQNh6MbHySxFfEKdC80i09mQyIR6FKoyf58rKikqlGo1G33333fLyskKh8Pv9sVgME9Fm\ns8kZQMwo2hkhBK4OQM+j0YhKjck9qzmaMhASSOK/+93vMNeXVJdw5kiTQnTDhsrpdOJDIpne\n0dYJIdDjxWKxSCSCmhmylxCC8gElGTj7zZs3UNagD9KHUqmpVpKSZTab+f3+eDyOEAPTQarV\n/Py82+1+/vy50Wi0WCzZbPbv//7vsULmzMBfVC6Xs4zFXPDly5fLy8s00XyOSEOBQeRyOVpQ\npgp88oh8LRQKCFBxQQKVliwE+Jl0Om2z2fb39+/du9doNBCkwI0zGAwOh4PvG0a4oECTyQQz\nKRYPQgis71gSAKbz//m8CAoIh8MoXDg/+v1+uVyWfFmh84fD4Xv37v00N+G1uW4K9LW79vf3\nk8mkpEoQQuBCh4UYOmmKmkKhwIoBWTZmF+joKNmscbhDPB4PyheocvF4nPQm4NTJZPL8+XNI\ntezE4AkolcpMJkOdoulj3KabQ6qLBwgpdlRtxOK0QgaDAcuF+fn50WgUDAa3trYcDgeGy6VS\nyePxoMzW6XT1el0IAZaCJ6fNZkun071ez+fzEXjo9XpbrZbD4aASNRqNlZUVzolut3twcODz\n+TClYy3GepMmtF6vA8tCOlar1WdnZ4lEQqfTQS3nraCgTCYTZCw8ASyBrFar3W4PhUKEySYS\nCYvFUigUisWiVqvFUgoYAYIae10OjH6/n0wmbTYbJGvOyzt37tTrdWAWzkXGo16vVygUYKZD\nXQffpyk+OzvjPSHcjz0wHp5YkTAhgfzgagSBD62/wWCAsqJSqU5OTkqlktPp/N3vfvfo0SOY\ni/1+H/0Ori9QUCqVitPprFarCH94QBSDMB3T6XStVnO5XCyZCYhIpVK8Osk2a29vj3a+WCwu\nLCy8fv0aBpEQgl+xvEyJAAAgAElEQVRECs/a2tpHH330U96K1+C6KdDX7tra2qpUKngpyOXy\nfr9Pw8K9d35+DlUun88jQSZMqNFoxONx/rPT6RDDQaqIFByHWIvQWOKOSqUSdxpuGwaDASe8\nyWSSz+fRASPYRbMLAWAymZjN5m63C2MEMBeZ73A4xAV4OBzSSmu1WpVK9eTJk8XFxb/97W+r\nq6ukllQqlWazGYlEAHCmH+KcGQ4INwHmRrMHxgrsQ0lFkicdMLAX7t27B7IBUQGVhNlsxuAU\n+gS6wffv32s0GgL0mBJo92g5KXZQaHhdDx484O9WKhUwHKzXSI3BPBPxRbPZRPGBkGRrawvr\nuzdv3nzyySdUW/puNroOh8NoNAJSY806NzcnWXmwkYMto1KpMKtTKBQw4YC8q9Uq2budTgch\nIntaIQToDVuBdDodCoXYiDabzf39fbyfwBnw/PR4PKAcOOtLTJhkMhkIBAhzoXdGIw6dA6ol\nqm5oM/Pz86enpxqNxmAwWCyW4+NjrVabSCRojfkrIM5kFiOPZGMxmUzC4XAwGLwRqtwU6Gt3\nJRKJYrEoPlj0EoyEC6jD4YBWIYSQeGwSCezy8hIqK6IJbhJiNehMkQLjQbq3t4e02mAw0BHP\nzc1hK8HqiYYOfh72HfiLYgHKvhFagkqlwqr4xx9/jEajNL8wsVDccEgolUrQVWxIPR6P0+mk\nMPEqEEpYrVYyRNArg6jIZDICzlHrbWxsQC/D+I0/CoVCzWYT9wyU5ZRRMBxa/tFoRC44kVT9\nfj+dTvv9/sePH9++fRt8FhIbwXq8ewcHB1jaw/ATQoxGI6vVGolESBWQ/KSIZ5TL5VqtFscf\nQsErlYrRaCRky2g0xmKxcDhMzfL7/RArvV4vwhnwBA42s9l8eHhI0w0gQOMPSY4PLpfLBYNB\nhifcS0C36OJBnLE08Xq9CoUCIT5fIaPRCIgEBRvbI1adgF39fp8UMfQ4sJvZKxJHwHRiNBox\nhKEtCAQCX3zxxcOHD6+urpjJDAaDXq/nEydxUQiBS5QQAoCF3Qn0u8lkEgqFbqTeNwX62l07\nOztffvml1+tNJpMejwdFtRACvJh1v1KpdDqdr169ikQip6en4XD45cuXgLyoAamnKOgILhJC\nYGGDZb7H44Fad3l5Wa1W2Z7BlaaooQ0pFArcORR9tIUglZlMBp7s1dUVAAL0Va1W6/P5IBsQ\nNgpVi5WjWq2GbCeEYEQ4ODgA4wYzoUtdW1tLp9MsRWmNCU8BtwEcZw1F+9loNMg3oSyyz8SC\njgdXKBSNRoPDiS4PcojL5Wo2m7dv3yZ7BQsh6GU8eLFY3NjYQP+GeBoNC/JCok9yuRwILDAL\nEAFFB7MOvJZQUbJCxOaN3xUIBPx+/3/91389evRIpVIBIzSbzcFggCiUDw76NjtGuCh4aaGl\nzGQyKysrYNysEGFG4rb6/v37lZUVaSyDA0M2oF6vR30K85pJghhDpVLJGQy9Xa1WQ/GE9Ww2\nmweDAXAzbwXfUjzKg8EgYLSk12eL0Ov10uk0GI5Go2EXQugBxEfs+gh+fPTo0U94J16H66ZA\nX7vr9PQU9ii7b8oTO3RoqvTLQgir1SqEYMPWarVYyrVaLayQAQ0k/ikOoigsYDGzTKNmSU6k\nJycnXq+XERjxCzkmQohut5tOp10uF7reYDDY7Xb7/T4qA/x6DAYDkzg6Q/K0Dg8PSXcmLIM+\niy1co9FYXl6mQQO0ER9cnDweTyaTgb07NzfHioxTSi6Xn56e8gN4rdlsNhBqal8ul6O4xONx\nfD5VKlUul0PDBiUGwgmcYqzmqLmpVEoIAR34/Pwc7J5OX3oJlHjCfCVLWNaMKpUKwiJuGCcn\nJ5FIpFarBQIBbKM7nQ6//V//9V//3//7fyj1m83mw4cPj46OoL0z9Xs8HtAV3lK6UcQgLHtT\nqZTf789ms0wevLfkM3AmcYhWq9XvvvsuHA6DoszNzcHYabfbKpWKA5LDSTqJefnMSYie0Klm\ns1n2yRy6T548uXv3bjabhWLPV4hPSqVS1Wo1cmkNBsPZ2ZnX6+10Or1er16vh8NhyDb5fB4W\nKRaDOEFDTdnY2LjpoG8K9LW73r17x/YfbZ7BYCiXy2azORQKzc/PI0z4337N5C7fv38fbS7j\nZzKZ1Ov1uVyOWGUk1KiZAZQZohFZULWBHZEVsNDzeDxS7cOyAymgXC7/7rvvMNzpdDrYOKBE\nhyvS7XbxLZPJZBgtmUymZDKJ0xuMt0QiUalUotEoeS4Ev7KdQ9SXz+eNRuPbt2+Xl5cHg0Gj\n0UBpRotH/RVCFAoFpOeo4DCdcLvdvV5vNBrlcrnl5WUpiwQFCgu3d+/e4cv89OnTs7MzdlYW\ni4U+V6FQnJyc3L59G0c3WCu8dYz5pO5yyMGm4LcDCtHAjkYjl8sFwgBis7u7S22azWYbGxtg\n3xxmw+Hw+Ph4ZWUlEAigGsUkFoEPSQIYVVut1ouLC7vdjmoGWKPRaNTrdRahnBlAXpPJpFQq\nbW5uPn78OBAIhEIh4KZMJnP1IVwYx/DDw0MOsG+//dbhcOzu7kL65vNaWVlpt9tOp7Pf7+/t\n7d2+fbtcLm9ubsLioF4TCkHQATxIIQQgPhRyiRFot9tTqVS73Ubpypl9eXnpcDgqlQq+IhaL\n5YbFcVOgr90Vj8dzuVytVsNAUggBPYs7+fnz56urq5iNYSxpMpkikYgQAjcyupXV1dVcLudw\nOKBFYyJMbDapptwDGEcgvQUCBqRGeUGPg/DMYrHQEKHSXl1dlTDo+fl5GLWSAT/5VVh3IjLE\nGASzUKqb0+kErqVigtuCTmA2AqMuEAhks1mdTqfT6YARwD0ZDoCh8ZBiFdZoNJCrJBKJYDAY\nCoXy+TzRVjC1IVZ3Op2VlRViEjc2NqLRKERsbEmIOafG8Qh2u73dbh8fHxOSAIcPT85YLBYK\nhdBzn5+fc8yQ7jo/P398fGyz2VA/Skz2Wq3mcDh++9vfyuVyi8VyeHgI/M2Zt7W15Xa76c2R\nruBBCDVFJpO9fv2a9xNCHh+xRqMJBoOJRGJhYYEIWoo7uTkUcb/fzwPWajVpGUCoAq09NE0O\ngGg06vV6QT+USiUWffD/iJ7R6/Wcmn6/32w2QzmHhYIIBVG4Wq0+OTlhsVkul8F8NBpNoVBw\nuVw8N9zsmH4Qstrt9pWVFdQx/5evmwJ97a6Dg4Nmswl7CRYH7kKI4jY2NjqdjhCiXq/b7XbI\nrQglJH6Vx+NBOKvVanFGdrlc5+fnd+7cob8TH9Kgz87OMpmMw+Hwer1CiGq1imJ4OBwuLCwg\nTYSmxlOSy+XEPNNzKRQKGnCYf5RXggqhXiBYRySGZgywkmrONiyRSAghRqMRYXTQ2ujHuV1N\nJtPp6SnIL8Blr9eTwrrIJeFoAYoB/BVCAJgAmh8dHSHGubi4wBIec2Q6d0mYjgcQFk4vX76E\nzGuxWGKxGCo+Mp8QQCLxYBwBn52fn+dTk8gnMB1hjpPsBwny4uIiFAotLi4eHx+jveTInEwm\nfr9fCFEqlYgG5wNiyuHZWq3WUCgEc06n09FHow7H5jASicC/NJvN5LTm83m/3483CxzK6XSa\nz+fZLtLsA47PZjM6a9zD8UIymUwcD+PxuFKp6PX6g4MDKOdyufzFixeRSEShUHz//fcAbpFI\nBEEKoxhCQWxSvv7661gs9sknnzCuIXnlC4knF85fqIFulIQ3BfraXfF4PJlMEvwDxZjb5vnz\n57PZLJvN0qQ4nU4yMhApcNu/fPkSzTR3DnLq9+/fEzitVqsZz/lFoMDc0nBX6XfK5fLS0tLj\nx49Z/mQyGf4/ZQj3DCEE0atsmcArgcuRaRSLxWazieGcEIIlG3WB+Fe81gAfoRLa7fbpdIrU\nAu0G0kTUOuga7HY77vVkqZBOkM/nzWYz66bT09NWq6VQKMBqstmsw+GAP0AL3+12oRJDW1Yo\nFOl0Groer2U2mymVSno9DjkElmxWsRgVQiC2Zk8wGo2gZwyHw3w+D4WcswqFEbRCh8Mhic7b\n7TbzDegBIbb4dVQqFar/48ePl5eXmRtwLkyn04FAgHgUPjKmDbvdzjHMuQXGUi6XqfuTyYRk\nQlwDMfOUwsBQ55OcAhGbRatOp9ve3sa6Dz2kRLOhxPt8vkKhYLPZotFoqVQCt2Fum06nYF8m\nkymXyxFbI5fLi8XiyspKMBjE944TDsRDpVL95S9/WVxcrFariURibW3N4XDcQBw3BfraXe/f\nvydI9M9//jO7GpwhcfLU6XT430O2kzrix48f37p1C08Jq9UKsQzmMrgzyyKVSvXs2bNQKEQj\nhsYa/3V6W0KyUZTodDqYW1AyAEYIFaTJQrhsMpkqlQpiOSFEp9PBtOj7779fX18H96DfR/+N\nHdLf/vY3u90O0goBAF9TUrT1ev3e3h6MMRh4NKQYd5Dsh5MDQCd1B0wzGo1qtdrd3V2v12s0\nGomqGo/Hfr8f+B44RaPRZLNZHodfwdMgLQWhRKPR6PV6e3t7kUgEWgtSN4DvhYUFaGE08gAX\nMBCMRiMzDZAr8AUQ7Xg8/vrrrzGKEkIEAgHeIkAbi8VSKpX6/f7Ozs4//dM/4f6aTCYvLy9d\nLheZMoFAAAMpxPE2m43+mlOHzUQqlcL3Cl0Syky+MPTyHDPAXM1mE9k95yXMnG63u7i4CGka\nndHp6SmEQijPnAGwL6RhC3WrEAIxPStWmHb1ej0ajRJuAKLy5MkT0ifOz8+HwyFRDw6Hw2Qy\nkTD5ySef/DQ34bW5bgr0tbv29vaOj49lMlkoFGIS73a7+FogqRBCkE5Ei8SobrFYJPcyIUS/\n3/f7/di5NRqNRqNBSW21Wrdv3+50OvB58dYAX4YTViqVzGYz9ZrBny08myUkYdVq1ev1np+f\nSxJknNdhWeBXFwwGg8EgfXG32yXVm02jw+Fg6sdLCFgZ2BorVHh+VqsV6jSGn91ut1wus7hj\nDQXkIomPxQeTDSEEajQow0ajEYTk+fPnUIDhISD5kfZgcB7IALy4uKhUKtDXZDJZMBik2cfJ\nHoiGgw3rZBgdKpUqHo9ztnU6HaTYwB0IuL/66qtoNIqhh9lsxgYLMd5sNiuXy5RIZI3hcPhP\nf/rT3/3d3/GWkqojhECEAnsdLhrvw87ODrqSZrOJbI8JDHy/3W5jG431IDRBnDEuLi5YZmaz\nWfiLDCiz2YxmnJNerVb7/f5ms4ndMwJFNClSGgCkafjmKF1JaYCTgyE4vKC5ubl4PH7v3j0s\nqNxuN+crB3MoFFIqlQsLCw8ePPgJ78TrcMl/6idwc/3/L4TORM+xrGNQnU6ndC64QNRqNbfb\nrdfrSbjwer31ep39G4gBps8kBEKfqtVq9FxWqxXQmRA8NpBXV1d0wfwMyVIQIWCq/frXv0bV\ndnx8jGMkCu/Ly8t2u010CyFJxWIRx0gOj2QyWSwWYVy9evWqUChQjh0OB+Z2xWIRlRrOQRDm\nSqWSUqk8PT0dDAa1Wg0Fx4MHD4B9YRzCCRP/q20fj8fNZhPTzk6nMxqNvvnmG37F5uZmqVSi\n0xyNRsR6wREeDodkDrByPDs7++ijj9rtdqfTubq66vV6pFaDuWPS5nA4KPcgKu12+927dyaT\nib0l4SMcD0CrGo3mF7/4xXg8Pjo6on8fDofkiCuVSnp5t9uNdX2pVGq327/85S9BsXmTh8Nh\nsVgcDAa7u7u85NlsBsMP8Q77vaurK/7I7XbDkOFNQGDp8XjIr0JpUiwWUZ/W6/VQKGS1WoHX\nzGbz6enpH/7wB8adYDAI0RAYxGQykR+vVCodDsfc3Jzf79d/uDhTQbRx8jMYDAQvRCIR/AIP\nDw+9Xm8ul0Pp87+525ubm91u9+joiBXC//HrpoO+dtfJyclwOHzy5IlSqfT7/f/bayaXy+HD\nCc1Ap9OhSRsOhzgf4XOPmBtAgHEVd0fopWzbR6PR8fHxgwcPMIecm5ujsaK4M2BK3qE8yEcf\nfVSpVC4vLzc2NkgLJcCFAJGrqysEzZlMZnl5eTQaMVzHYrGFhQV0MTyxcDjME5MEvq1Wq9fr\n4Z+J4BgvkU6ns7y8HI/Hs9ksfwuEly57NBpVKhXyk/r9PqQCCAyUZrVardPpVlZWeAc4hOjv\nVCrVmzdvwuEwfLWLiwvWj9hNBAKBfr9fKpX0ej1BKnwExWJxe3vb7/dj3AwHEQ4ckzujBrIO\nXPdgOiLabrfbzDo8E2SEPDIhW2wFhBAU9GaziaISEgWgOQHYmUyGSPWTkxOYIZyIqNVh4ICM\nsxVYXl4uFAo4jEP1yWQyFovlyy+/lAaddDoNj8LhcADO4Lvy9OlTUi75U0iKON+63W6SXol3\ngNEM6T6bzVL6ZTIZq07gctD86XQ6m81YBmCNMhwOz87OINRj8bqwsLC5ufkT3onX4bop0Nfu\n+vrrr5PJ5OLiIkbDAIu0Y4yuarUaf8jBYABezFiKexmI5NbW1srKimSuJjktMLcKIYjBVqvV\ni4uLkkxcWtmR+tHv97lXcRAlmBUVGb7A+F30+330FIRdzc/PZ7NZLJtbrRbbIWQXOPDxzJm+\nhRB7e3ugxvRlZHphbK3Vatm2IUBnemACwFoTfAb35GazSfgsPwzngXoNZ7FarbKyg74NnMoL\n8fl8CK+xWh0MBngTazSa+fn5/f39lZWVy8tLt9uNhMTr9ZrNZuTysE2QKXLIgexXKhVSu6R6\n1Gw2mfR55v1+H0SboNjLy0sY03icgmPAndDpdIVCASgJP1WOGblczvoXdTs7Q8nHiiNTrVbX\n6/Vut7u0tCSE4MuDSLJarZInCQWFKY3KzmuByYddic/nA6RqtVoEObIM6PV6sM45Xc7PzzUa\nTbFY9Hq9mE+dn59zwMC0w/eODzGfz2s0mtPTU6/X+/bt208//RRZrBDCbDb7/f6bJeFNgb52\nF2bQ/X7/6dOnq6urvV4vl8stLCx8/fXXfr9fshgGwIVvazabc7kccyWV6M6dO6g5iNuA8arV\najudDgTb2WzG3EoANua/LNCIFoWGjPQLLwiQYiBFu92O869KpcIVD2AR4hcSEioa5A2LxfJv\n//Zvm5ubqVSq0+ns7++DdEP+Y5UvhCAqhQ6XHjwWiyGiof0HeC0UCmDiiKHJcEHBDJ5brVbh\n7V5dXb179+727duVSiUUCkkpVrPZDMUazxwJT7Va9fl8mUwG8WS3293Z2en3+x999JFMJsME\nrtPpsBYjFEoKN4DlAgjAochwwGlH/BUDR6vVqtVqkPNYEnDgnZ6eoryHBHJycuJ0Ov/61796\nvd5SqTQcDi0Wy4sXL/jTYrFYrVYXFhagWLBVg/iI13MulwNqx2fV5XLl83kclBhfII+jpC8W\ni2BTCL5h5gFYU8rhqNRqNXjunU5H+pc///nP4XAYYjt2MWwOCFXZ2dm5f/8+xoQYm1QqFaSG\nOp2OmSkYDKKFmc1mgDN0JNFo9KZA3xToa3fF4/FEIpFIJD7//PNisahSqdxutxDCarVCe4J3\nzBSMDOH8/HxhYaHdbjN74nOEvrler7PkYfuEHANpok6n293dlcvl+/v7AAgKheL8/BwvdogN\nlPh0Os0DYrvh9/t/9atf/eM//iOy6U6nw08qlcp6vQ4H6+TkBMubcrlMf+f3+/nJ8XiMjGU6\nnYZCoUKhQMQG7hDgldhF8e8I+UBRqOzI4QAKUJ/ztFkYFgqFSCSC4sZmsxGLDpIrGfq8fv06\nHA5LXskKheL4+JhMk16vh9xxOp1arVbsmUCZoa+RtodCBPc4UlEkah1bwSdPnqytrYE7YRzo\n8XgA3/FiptcmqwzWMEcsb6bP5yMkF+/WjY2NTCazvr6O6SDyPNpeQldtNhukN5a9NptNfMgi\nQE8EGE3P3ul08J8jGR2JvBCCco9AKZVKMbGB71OjYdH4fD4OlXa7/fOf/3w8HjPSgbADYkic\nS+p1Pp8fDAb8EYSZVqsVj8fxeDKZTG63m8Txt2/fLi4uskW4cbO7KdDX7vr+++/L5bLT6YRQ\nAXhKLXY4HAgQoBPwRX/58iUeSdVq1eVy1Wo1usj5+fnd3d1gMMg9zFIolUpRpOAR0/eNx2Oy\nPNrtNviAXC7/4YcfkM9RdsfjMat2h8MBdkzvSaPEKokyhO6ZzpqJlSEdYgZ4NxbDkmkyZiCj\n0ajRaABE0PSp1Wo0dSiYyakjWomfhzWMqycN7OXlJZvVdrvtcrmw/Mdnjqeh0Whev36N3gds\np1wuVyoVFDFqtRqHk3K5jHedUqnEtYoMMCnjptfrRaNRHOthnVNPkSniUl0qlVDnS/0yYVQv\nX75E9tJqtWw2Gx80iBb+HkKIXq/XarUwwVhaWqrVaqzvvF4vVtpSjgGqwnq9DkN5Op3ykhOJ\nBA0+wDSYOD/PGmNlZQUon/YWmhDurxiAIBsBbKEEM+jgKItnnhCi3W4jpgdkI1kCGSQTTy6X\n8/v9TqeTpIXT01OModkoHhwcnJyc6PX64+Njp9MZjUYBYbxe702iyk2BvnZXPB7HeKjX6+HF\nEY/Hya/DugwXN+hWQgifz2exWLa2tt68eeP3+4nHHgwGGCjz171eb7vd/vHHHzc3NyFKwzTI\n5XIUwY2NDWANrVZ7cXFxcHDw+eefs7jzeDwolfmnEOLi4oKSCoMCK1SytN++fYuNGSUb2JHT\nAjccYrBTqZTP50ulUktLS3T6VHnK3N7e3oMHDzg/arWa3W4H6CBoo1qt5vN5ng+UAGh8UMRo\nohF0wOmm3qFylMvluL4hdK7X6/Pz80R2nZ+fU0mvrq7MZvPTp0/X19dZFS4tLfV6PRw/gBo4\nhH7/+9/DjOatGA6HuVwO826v10vOLGcYNLV0Or2+vt7r9fx+P2kmFHoqYywWS6VS6PhhRprN\nZmousDUKw9FoBEkO2aFery8Wi/TUo9EI1qDFYplOp36/X6lUYh3H9MAXBoUR9iwsKgHfMXrV\n6XQnJyeMOxJqnMvlvF4vH9BgMLBara1WizRxBDJCCA5y/PMuLy+xiMGag5BDDgb2EBgwQV5E\ntYhEkyxaqNO3b99eXV39qW7Da3LdFOhrdyUSCbx7kDLDUsKl3mazxWIxZGDpdNrtdtvtdrwO\n9Hr9Z599Bk6KXxJOQGgOyVIJhUISzMeETsqyTqeDeoVQAjji8PAwFAqh8aUvg86FZo/ulb0c\nwVetVmswGCDLttvtANZ4oZEhYDab4/E4i0GKCP8CmCCEgGCrUqmwAMUnHlA1FApVKpVer1cs\nFuE50LRiJ481NtswGjcEljCsq9WqEGIymcRiMXIAcrkcLXwikRiPx9TxYDCoUChevHjx2Wef\nYRfF6UjwlUKhoBmcTqfkYctkspWVFVzczs7OgsHg9vZ2KBSC/4tzJlkqRIJlMhmXy0XS1Zs3\nb9gKoHAB3JDJZJubmxcXFzAoqtWqUqlMpVIkmg+HQ+IoIYFg9q3T6YCnlEplqVQiplYIwQ/D\nM0kmky6Xi5UgAV0ajebt27cbGxuHh4cGg+Ho6AjRNmdPt9vFh5roE74twBSXl5cymQwaOzwQ\nq9VqMBi++uorvqKEV2GTRCcOUFYqlbD0w4RAcsHF4JQPnSdgNptJLqeDvnGzuynQ1+6KxWI0\nqsVikQKUyWQCgYBSqTSZTDDVJpMJzjtfffVVIBCgPEEhEEKgYEbRK4TI5XJsCMfjMQO1w+E4\nOztbWFiQBAvcyVQ3CT1ot9vVapWNn0wm29ra2tzcBGpkWmf7h9sRoR5Wq3VpaYmiDytrOBzC\nXkDfgXOxy+UiVxuhCtDtaDTCKpp9F9WZ15VIJFZWVpCkj0YjfN3sdjsbUYmJCIALnNJqtTQa\nzd7e3tnZGW07tDA8nn7/+9/n8/kHDx4AawghKHnLy8u8ZIynUU5ijAeZT6VSoXgmMxcNyPLy\nMlg5Nnjj8ZhAP71ez3vy+PHjSCRCPTKZTHa7PR6PY146mUxY8OLiBjqBwenV1RXbUZrZSqXi\n9/vxe0KlDd7CuULhbrfbnD2xWMxmsxHQhXcKHPPBYFAoFOhM/X7/0dFRMBicn59vt9vBYHA8\nHgshUIHD26M3R0U5HA7r9fpsNgPLtlgsHNhLS0symczlcsXjceBpIYTFYuFrybcOwh9+KVgR\n8LtAltAH4cmHwYAQQq/XP3z48Ce6C6/LdVOgr93117/+NZ1OV6vVcrlMLyn55B4cHABBDIfD\nQCAwGAyQ88J7nZubo40Fva1Wq2hqR6NRIBBgnMekgkHe4/HU63VosJ1Oh9AQGkAhBG73MpkM\nBq5Go1ldXcXdP5fL+Xw+n8+HtgVzCeLvcAoG0BgMBq1WK51OR6NR6Ap00FqtFteew8ND5IIc\nDOiwd3d3HQ4HMz62wkdHR7du3drZ2YG2jHr47Ozs9u3bp6enPp+v0WjQ+F9eXuK7L4Rg0A4G\ng/fv3+ctwoOJJRsOqDKZbHd3NxQKDYdDuHREgO/u7tZqNd4KxI3ko5OUyglBajilZzQa+Xw+\nzLWxtEecgiNSpVL52c9+xuYQshoUC+JRhBDBYBAaJS6yT58+VSqVLM1kMhnEQT5NyBXoPGFM\nQm3mOBFCdLvdVCpFgACpJTSqGo0Gm//T01OOOpznAKOAg+HApNNpzlEWxcjipdMUeSokRZ4G\n7xhMSo6cQqFwcXFRKBQA1ra3t9Pp9OrqKkCW6kNeItjabDYDxZLL5XyO1WoVyDsQCNzwoG8K\n9LW7stksi3WXywU1QoqeisVicrk8EolgMEba0Gw2a7VaODm4XC4KgRACc3fk3dPpNBwOY2dM\nqgWwBos1gv6gG19eXhLfif6CexVaGL0kFkJULtb00qqQWZi2F8y3WCyur69T5WmKSV2an5/H\ncmE2mz19+nRjY6PX65FRwGbS7/ej76BT6/f7FouFpX+pVCJ2j3E7Ho9Ho1Hs4ff29rCPYPMJ\nMw8LaTJESqWS+GB3Vy6Xw+Ew3lLz8/OLi4sEI3CGgRWQ10UQgUKhYOnH26JUKg0GQzqdLhQK\nUGsw5cBYil25GMEAACAASURBVMBGRDrIIEmfotgpFAqCneh/WTNKA9C9e/fo3O12u8vlQi2N\ngfJ4PI7FYpJKXqPRPHv2zOVyYek3Ho8zmczt27etVqvRaHz+/HmxWGRLDKDf7/eJ00Y1g3MI\nghdOZVoByuVoNNrb24N3AZMPQSM7XmBxAO6LiwswfXBteCPo45PJ5Geffeb3+/v9PmgMWnkO\nP9ymVlZW8Ac/ODhYW1sD3bJYLIuLizcQx02BvnbX27dvk8kkVNNkMonbBlQtehC5XO71emm4\noIKBIVxdXaVSKZgGgBsYpJF+gu6OVTvOy91uV2IygHfjlYzegYCiRqOBrRJjKdtFjg14WhS+\nWq0GKxaBotvtBqGWy+X8T5fLBboq/xCKenp6irjxwYMHNKGoqGGznZycgCzTnV1cXBgMBgw9\n6vU6QYLT6ZQJAPNoXqzFYgGXz+fzGBDz6tjjEW9Yq9VarVY0Gi2Xy+hu0NMThsA7Q14M7Bcs\nNf785z9/9tlnTN/UO3w2otFooVDAOxAott/v7+7u2mw2i8Xy/v37hYUFr9fLRIJ7CdYl7HJZ\nNiDj9ng8WMtScCuVyvHxcSgUymazxGDDVANyISeX4OBWq8W8BccOHRBN9M7OTrfbTSQSy8vL\ncNU5cqBm86rZ+OVyOeAXIPhSqQRFHVMBvj9er5cznjgFzmyz2fzq1Suv10ufrlQqhRAmkymb\nzbK8JYp3bW3txx9/BF159eoVQlniHzHyD4VCFH346aFQaG1t7ae9GX/y66ZAX7vr9PQUGIF8\nZUBbNkUoHU5PT8EiiWplYESSEAwG0S8wnAoh6EYnkwm29yjN8GJut9uLi4v7+/sLCwsAnezc\ns9ksFQ2jOAyVyHlCUG42m1msGY1GCdVlpMXo2efzPX36lEOFfRcrO6fTmUgkjEajzWbT6/XY\n5NfrdUyB4WMIIRQKxdLSElo41owYpwkh4IoxF+MPVyqVAF5IAX/58iViP3Dkq6urQCAA4Asb\njAUavR7mDxjsjUYjtqnITMrlssPhgKpIQ7e5uZnL5dB2a7Xa8/NzIYRarT49PYV9iBxDik/E\nA3p9fR0kmjAwsKB0Os2qzWazaTQaaOzpdJpK7XQ6KfcOhwOgBpSWnvro6MjhcFAWWbQOBoN4\nPL66uqpQKLa3t+G04eZMX8xyEqdAhIJ8gjipxuPxUCj0/fffw2LEuJlM8el0Wq1WeT+VSiWq\nSD5T3Flp/I1GIzNEvV6/desWYUC8UuIZyYWYm5tbWlpCKkU1H4/H7FFxjNLpdEdHR3fv3oXW\n7fF4bgz7bwr0tbuePXuWTCZZCs3NzT19+vThw4d8j/E6oMgKIa6urt6+fQuXC83FkydPPvro\no1gsdnR0hEXn1taWyWQikInBn+JVqVRwSADDZYTH5IgFFHQuDEAk/wRStVisDYdDpmboFna7\n/d27d5PJBP/MwWBAlhLgDJ7FLPehH/T7fWJb8SlGnSyTyWhmsZCHps3bIpFS2u0260SbzdZs\nNp1OZyqVWl5eLpfLqVTK4/Hk8/nl5eU3b94wB9RqNcB3Ul8l4jaERYovehOOCiYJh8OBA/2n\nn36ay+XASQjiOjg46Ha7gUBACFEsFlOp1L17987Pz6GL4djHogxxDehqOBxmnYA/HLoPTOwk\nvbjZbJacLmw2G5bT+Xwe0AABC4A+LS1vy9XVlcvloqZ7PB70PmiCePxerxcMBkkrN5lM8CvK\n5TKfGrZZFosFQjpyQVAInU4HfE/2AvRkVC2oWzUaDYwOhUJRKBRCoRCKc2wFWWMylCDcZ3Tr\ndDowRsgpNxqNdP2McZD8SqXSysrKDcRxU6Cv3ZVMJuPxuAQo+/1+AknpzpBL9Ho9JtyNjQ0G\nc0DDjz76CMbu0tISAAiEMwiw9XodQiuWwZjNw+Kg3Ub35Xa7STbBBg/PCkhm2Wz2/Pw8Go0+\ne/YM/gYwMSt+t9tdKBQwL4WWCw/k6upqYWHh4uKCtRL9F7WYRoyqjfZPoVAkEgkpBwAisORt\nhNWyFO8N5wTDCnTGGMkrFAqfz4etBwUXyQZN5TfffFMqlcLhMGbH6APr9fo333zDVgqpN+Qw\nJO+QiHGDwgoukUhg8RoIBOiXKaAKhQKAlcOJht1oNOJ2zUpA0g3RojqdzsPDw0gkEovFUAlJ\n7q8WiwVDFT4LOlM+eumonp+f5+QD/qb6CyEmk8nu7u7a2lo+n19cXBwMBvv7+6xwgYAikQhQ\nFVQKCCSYrszNzTUajVqthrqkVCqBj/GRqdXqJ0+e3Lt37+DggPUs1CBMPCAI4W4KQk0k+WAw\n6Ha7zWaTX8EZzOdLhw5TEJ032cQ3QpWbAn3trrdv35Jm1Gw2hRAYgJHzRD+Cpg5zIhrhfr8f\ni8Xcbjf6N51Ol0gkKExgiMRhSNZ0iJvZ0TFmajQaZl58c2hRcW9Al4wmRaPRbG9vg8/Spl1c\nXGBVjOWN1+tl0k+n05FIBF+3QCCAqRsBMaw9ac/1ev27d++Wlpb6/T6Ozyz9jEYjz4QCdHl5\nyWGzv7/PwA4XuNvtMh3TxOGEeX5+zpqOXwfNAN9kXNNwOCGmC6YaoHY4HAYHR4+u0+koLthZ\nUOWRmAMuAapotVqkcZiEgMC22+1er+fxeFCdqFSqSqUCk4yfJCAGMiKgBPZycL19Pp9MJnvx\n4kWtVpPL5Wg49/b25ufneTnksuP+zBOeTqfn5+cXFxfQdSBi3rlzh1Ydhz96ZEp8IBDAYU6i\nhdDzUqMpmvwR4iAUNAD9KpVqbW3txYsXt27disViAGtarZZMGXhyQBwQXTD/40+tVqvb7d7Z\n2QE9bzQarE8xgUJ/lEqlXC7XwsLCTYG+KdDX7orFYuVyGeKBTCYjzoNAT1oYJnGgZHhd/X7/\nwYMH9XqdtgtfHpVKlc1mLRYLLr2khMBLS6VSyD0QXIxGo1qtls/nWfeRFBUMBp1Op81mo1Wc\nm5v78ccfFxYW1tbWMBtCdgwVZHt7u1arRaPRbrcLghmNRnO5XLvdXltbm06nbClJ9mPEZovF\nhoop4erqimAqXCBIfkKFCH+2Xq9jD0SPiU4SQZ1kuo94Wq1WFwoFHKJjsRj0MuBdIQTOJNC8\nhBB0nbwbx8fHtVoNXwss5JG9MZunUikKnNPpRO0JGkAXCWJA2gB9cbVaPTw8RJ2Bw7LJZOLg\nBOWnMvZ6PYPBgOgDj1Y8S+/evav5EDgJH4YyNx6P+Y3g2iqVqlqt8ntDoRCQF+8ScQrwZ/he\n+Xw+ijJYOdRMGCDIlPjtnHCYZMEhwY2PXh6CNhYfcJ+dTieZ6x6PB2Ki9Mayg6VzR7J4eXm5\nvLwMYHJ6erq+vs7qG2MQiPB8WI8ePfoJ78TrcN0U6Gt3nZyc7O7uggIbjUaHwyGEODw8DAQC\nZ2dnWAIZDAYUw+zKV1ZWisUidgqYTEoMVmKrdDod+LLf74fFQQoGEg+ML1jrQ35CbqBWq3HC\ngxly69Yt3OXj8TgLPXBDIYRWq4UWzUaLfrnT6VgsFp6SEKLX6+ErRL2Q9mCJROLLL78k0AtW\nA/xC1mKTyYTYLVTder1+f3/f5/OpVCosLwwGQ7fbpX0WQhDJ4fV6CTohmoARvt1u7+3tOZ3O\nubk5OOAgA+wbq9VqJpPhb5VKJVJ6IZxxPHQ6HVJsjEbj5eUlVs7YtP7Hf/zH5uYmWzhqItne\nVEDxIWjKYDA4nc7BYHB2dgZpGkgXsKLRaLTbbUypEGSiNDEajWwgEC5Np1O9Xh+Lxc7OziCe\n12o1nU63s7MjfQQ4hDBaDQYDjl6j0RgIBJgkcMVi3EEBf3p6Km3qWPnCz2NyYgHAvAXlrl6v\nczw4nU4W1KhDDw4OOB46nc7Z2ZnZbGa7azAYIL+DRAkhmE5Aq8A93G436YhPnjz55JNPotHo\nnTt3frob8VpcNwX62l3Pnj3L5XK//e1v/+Ef/uHk5CSRSDgcDgQd79+/X1tbq9Vq3A9IkO12\nuzTwdjodtVqNrQRNTaPRKBaLRqMRFSJ2ZSChNF9QGtgFlctl2m0UYhgfazSawWDw5Zdf4qbE\nbYluAkoWCx9w1fF4XCqVFhYWvv32283NTTiz5XJZpVKRUc3zJFebCjKdTn/xi19gXgFpAVS9\nXq+fn5/X63WisABSQDmTySSORdSXQqGA7kPikzgcDuTLIADYHGP+gDji6OiIBBNyxwH3megv\nLy/D4fDJyQkUbxjfVBO1Ws3RBYx+cXFB6/3JJ59ICpeVlZWzszO1Wg2yj1icqL3JZPL8+XM4\ndiaTaWtrCzI4yk/08axtrVYrywNsodLpNM585DeyOwXZ/+qrr9bX10ulErgQViR45gGz5HK5\n/4+9N+lt9MzOv2+KoyhS4jwPEjWrVKq5XDZsdBwEvQgCZJPs8o2yzioBgiSNOO5GN5yCu93+\nu9qudk12VWmeB1LiLM6TSIqT+C5+8IPG+wVMIPdZNIyuKkkk9Zz73Ne5hsePH1erVXhy0N4N\nBoPL5SqXy/xUuKYgy87n81gmEXCDNyEOAaAxBLze3NwcHh46HA7sW9lRd7tdv9/PKjuXyz14\n8IDbBlsEIBRUUZg3QT0EFMJnkalfCEGGgIy8kg165CoWi3HZHA6HoVAI71BufHq9HpdRlAKo\nk1++fMnGDOUFvIXZ2dlWq4XNJtsbtLZKzAp7c7KrMS0DosUIAhsKhkGeKOgBUKZY3INZ49oO\ntII+TaFe0UNx1kfr2O128XpnxsSSgq59cHAAk4F01GfPni0vL7Mi4x3IZDKhUAjcg+0W9kNT\nU1PQ6TqdDi8Q6ODw8BDdYLPZJMKxXq8HAgFOC8AN8OXhcEj8eaPRgL/IuKrRaIiVSafT9Xo9\nHA7DM8lms9DXzGYznBZIbLlcDo+nqakpEAMm6D/+8Y9zc3P1et1kMi0vL3MmtVqtpaWlwWBA\nz6pWq9vb25eXl7dv3wb6x8+TLKh6vQ6ND+Mn7i5er/fq6ur27dvADszFcMMZUU9PT6empvDh\nIwaMOZpL1fr6Olk8QgguVZxG8O5PT09J88GZ2mw2X1xcXF9fY5ra6XS8Xi/hO+DIVqu13++n\n02mMNbAW4NXh5USPNhqNzWYTCJ4tcTQa5QLX6XTgm/f7/ZmZGaPROD8/L1kcMpNw5Or9+/fI\nBUnDQ7pmsVgODg7y+Tw6kVKpBI20WCw+fvwYj5tQKITrwuLiotFoRLaAB7Fer5+ZmYFukc/n\n2a3jV4kqF9QPCQz8jWazWavVyuXy4eGhzWZj78c/ZETChwj/Ur1eDxmA9hSLxdRqNQRhHlrW\nlQySKO6sViugBDrjhYUFhf+LSoVhH5jbZrO53W5MhUBmePinp6e5N+DI7Ha7379/D2CqyMSv\nrq44PPL5PK+aFGqz2cyrAGqYmppaW1vDg43jJBKJJBIJjUbD1A974fDwEBmFXq9vNBqzs7Ob\nm5tQL4LBYD6fp7dOTExgIVIoFObn55lGVSoVMz68OpCZdDoNZWVlZcXr9WIYNBgM/H6/x+OB\ngEjUJMD62NgY5Jm9vT0MS/HFVqlUpL4KIaDoQFiGKc8pi8Q/Ho/rdLrbt2/XajWNRnNycnJ8\nfMxOlYUEvL1ms4lPKf6fjx490ul0EJPxaWEsqNVqdrs9lUpdXV2trq7yZmo0GpfLxTHvcrlQ\nId7c3PzHf/wH0cPYVbdarUAgwK3l9PQUSQu72VgsptiZ/l8uOUGPXKVSqXg8zkjLVMsYxUML\ndQleqtPp3N7exiID+QOgAevEb775RhEyqNXqVCqFitdkMpGfpNfrAVvJNAIGTafTExMT6MSE\nEFC4iDT0er3Pnj1DMk4sgFardbvdHBVc50FdiNVgEgfcxJES01Roznq9Hgco2jrRAcxfWGtG\no9HZ2VnM8gEQ0uk0rDgkEngic2dXYqERpwGmc9NnZhRCwDtUnINUKtXR0ZHD4QDbxTFqfHy8\nVCqh3m6325gvg88Q/Ycgvt1uE/sN+YEYXLvdjtESaapgEXa7fXJyEgNu2CAgVPwMUKdfvHjB\nDPvtt9/evXs3kUhEIpEXL144nU6uKVgqIyglNJ0jwe/3n52dTUxMoCxHKMTdpdfrhUIh9syw\ndIbDIRRycrX53eCUXVtbA+uHwsi5iKIdJgafHf6lrBB4hzmYoTOyaYQbY7Vaz8/PgT4QE1ar\n1UAg4PF42BBwORsOh+fn5/z8sD8TiUQymfT7/Xt7ex999JFkccgGPXL19u3bXC43GAyi0Shr\nKEK+9Xo9ZOTvv/+eAOZ4PB4IBLgya7VaMEpW5w6HY35+XqPRnJ2dzc/Poz9k3QQAqpDPMIYG\nruWySca2gmyo1eq9vT00F3fv3qW3CiEwJwK4UKKqvv7664WFhfX1dWR4HC30PrZbOp3u8PCQ\nsBUWZYVCARyDKRXn0kKhEAwGUZSVSqVutwsBAzMdsNpSqURyisViOTo6ApHgBk3yC107mUw6\nnc54PI5LKtgupHKQ/cPDQ6fTCdoLElqpVPCQGg6HW1tbEB5Aol0uV6PRADwRQhC7hQwEOg1B\nsZx5Op0um81C8oUwA0Ck0WhisVgkEul0OiaTCW13rVb79NNPmTqJSsGw9Pnz59PT09xsjEYj\nsm+QLixZAJE5Kk5OTuCnMwvzDlcqFZPJ5PF4gImxYcnn89hgCSFQckLXU6lUJycnQggkf8DQ\nP/744/z8PBM6XA5+lwDZWq0WjE9gChIhmN91Ol0sFsNvFpcujkOj0ZhKpdRqNaAcVrHA/cjx\n7Xb7ysqKhDhkgx65isfj//M//7O0tKQQigFzccRnPuWu+uzZM+jM3HARpLBZgoAxOTl5eXmp\n0WiSyWSz2VxYWMDsMZvNejyeg4OD8fHxcrms0Wi++eYbqBHcMVEnx+Nxr9d7enoaCoXUarXb\n7cYdKZ/Pk3WN2SY+qJhwMj1ptdpYLFYulzktEBz6fD486pC9JRIJMgZxNUKDd3V1lc1mZ2Zm\nkF3QIsvlciKRwGF5amoKIUMoFPJ4PL/+9a8XFhZQ2XGiQFwhVevo6AioR3H0V2gVtVqNRej+\n/v79+/fhEpRKJa1W22q1bt269Z//+Z8YjzidTqvVyspUEcIhohFCQPjt9/u7u7v4VIAI07bw\nqm+320RiK6lRpE+h8ybmEd2gwjscDAZerxfRkNfrHR8fJ1+1XC6jHOHk0+v1UNo5hKAAQpGE\n44zZP2BRNBrlFb1+/XppaQn+H84kLpcrnU5jZ8hAzQ2p0WgkEgmXy+XxeDY3NzGiwr+U+PZw\nOAyFfH19PRQKsWQGvAKgY/tqs9mmp6eLxeLV1ZXH4+EwU6vVbEfhrpRKJe4oyCabzebc3JyM\nvJINeuTqyy+/ZJOmUGWx4NBoNAQmZbPZXC6HWQGkApx3ut1uMpnkIbRYLEyUpVKpWq3evn1b\np9OhCWSmhpZgNBrBPbH0RTesbBFnZmZ6vR6jKENooVCo1+vVavXWrVuHh4eQAaBSkA2IQqxS\nqSwsLLTbbWxOLy4uIPMOh0MMNtVqNVaoQoher7e3t0dIlcPhSCaTjFRojjls/H4/xwBSQGxX\nx8fH19bWarUaMpz9/f1bt27h4KEMrSBFdrudFRxzHKAKAyObz0wms76+DqnDZrPBzSAmsVQq\nESeGwIQ5mgkaSxCdTgcTGeoh3ZOjDucgwByU8fTZq6urYDA4Nja2tbXl9/tzudzp6WkkEoFl\niCxT0dmj61EIcEKIv4zuxmM6EomUSiWlmaLGRtPY6XQIiafhRqPRUCgEvsFMTZoMJk1ceshM\nabVaJO3C2sSwhZQ1oGfCU8CXMWlBd1MqlUBLhBBwYyAdajSay8tLjhmstUiUB/8hsgBoKJlM\narVaOUEL2aBHsKLRaL/f/+1vfzs/P6/oYpmLZ2dnz87O4Irp9fpUKoUZAroPokJLpRKRK1AF\nLBaLw+GAZ9bv95lTMN1HGI2UIJPJYOKcSqXgtGGUUavVpqen2Sx5vV6Xy3V2dra2tnZ6enrv\n3j30MoR/+3w+wF/o27lcbn19nesq3V9pc8ryBwSj3W5HIpHT09OVlZVms+lwOBjhdTrd7u4u\nzK1YLIbTkGJmjcQD+nO1WgXEZKotFouhUIg5kY4shODMu3XrFrq1m5ubg4MDWh6yyZWVFTjg\n2Kja7XaLxUICAIMeeAiOHLzzQggc/iqVisFgQN2O9C6TyUxOTmIxyC7h6urK6/UeHBz4/X40\nnCAeNHGfz3d4eMhVgBYWDoc5eECf9Xo9BHNSCvv9PoQKTpRms8kyAAUKWDN5jNfX14FAAJQM\n9yKMqtltMOH2er2HDx9mMhllkYjyBe4juVzJZBKKCGtnxJaanwIMWRiCg8GFR6HO7D89PQ20\ngsQJhafdbs/lcgB0RA0oHh1AWHNzc9IPWjbokaujo6NYLHbr1i00ER6Pp9FoCCFUKhWODcpz\nyAjDngcqNGmegJV6vf7p06eQAbrdLu4NyWQSf3QG4VqtZjKZmGigu6VSKXjHyrDJhKjEagSD\nQah45XKZHwwyNc+Y+ClKA+342tpap9NB04wrnkajSaVSc3NzeDuQ5WEwGJaXl0kEB1plBwUt\nTPE+rdfrlUoFPyMl8QRBGosmeBSYDmN+jUjS4XDgm4GKnUnc6/UeHR0hyTOZTMVi0WAwYNDR\nbDahxBACgn56amoKohu8BfGTz182m1WYNozA+LtCNQN2wIC7XC7fvn2bvwMbPZfLzc/Po3Jm\nlsQgCV9/riN4E5KNwAZyfn7eaDTG43Fc80ulErvZN2/eBAIBPlAYk/Pz8wzanMTEyCpGzDjq\nQT/HAADUhY0C/gEscjkqMEtJp9O8D6QW8B9ca3w+H7g2RDpeJuZ5xF0SWojXOa0conQ0GvV6\nvRMTE7AbYXPfuXNndXX1530Yf/aSDXrkamNjY29vr1wub21tzc/PwxJrtVpAE1yfaYUmk4nt\nv81mA9PgHo2T8m9+85t//Md/5CEn+Q0SMWMXT0g6nYYAZ7fbq9UqtnDMazxptEU6LLQH2iVe\nz2RR40Ofy+UwFAb71mg0Pp9va2sLCNLhcDBqZTKZW7duYb8JJosqHeCVcX5ycnJyclKr1cIk\ng0KrfB0YLLC1KpUKO0/sjYhGVaJYxsfHr6+vGUU7nY7ipi2EADqn6eCUb7FYeP+ZqRuNxvHx\n8crKyvHxcSQScTqd/E3u8rQk1HokezWbTXzrp6am+JlxzS6VSkAEgMVqtVrp9XxlYN9EIoHB\nHtEk6H2QjCaTSeUQJdLFbDbj2Hd2dgZ2BDVlenoaW9dCoRAKhfA4JNeVH4kDmONKq9UeHR1B\nJoHKjU692WyiqjebzV6vly+IHRKURMZ/UDW73Q4U0+v1VldXWULwPiOJNBgMxI2DO+GsQjwQ\nHuJCCG5CkE8g5xGfGA6HpZJQNuiRK7qz1+uFHMZlHyd7ruQ3NzfMOCxYUIuxtoLPCz64urqK\nsKXdbmOdjlaQWEIy6NC/lEqlq6sr3O6TySTgI/NmrVbDm0Kr1WK+sbOzg3UGzDyFGuVwOFwu\n13A4PDo6Ai54//790tISE9P5+Tm0vK2tLcx0NBrNd999B6YJpYSflof8s88+C4fDzJhw3Ujt\ng9I3Pj5OAhOXAN6KsbGxnZ2dxcVFk8mEWbMSeHp8fKzRaBTYvVgsMlQyt66vrweDwU6nA1yu\nVqv9fn+73fb5fLxdSs4svh+0WhabvPlYmBIUQMri5ORkqVS6ubkhrxoDaATuJpMJtiIrUI4u\nJl+dTnd+fj4zM9PpdH73u9/hxaFWqy0WC2r1RqNBYDmrP4vFAtFCrVYD/WNFzTEJIsSbALDO\nhM6WUq/XQy6cmJhgGOfNFEKo1WqQFgArmrjX66V3K+bUGCrBOcFMEYgZF2/sGNPpdKlUQnDE\noSWEgH2v1+sTiQTmi7wV+Xy+Wq1+8cUXn3zyyfn5+QcffCD9oGWDHrna3d1lzWKz2Wq1GpIK\nWna73QZWRkrLTZ/4D1zECL9goFOr1ScnJ3iY4T93cnKysLDA0gzwV+Edo9+FaOz3+1l/OZ1O\nCAk8byDLgUAAzS6zMwK8cDiMV5larV5YWEB8sby8zHD99ddfP3r0KJVKwfGAMnxzcxMMBicn\nJxGgx2IxVprpdNrpdH788cekW62uriJc1Gg02HhC9BZCHB4e3rt3z2q1sidEFuh2u4+Pjxni\nsPVot9u0gEqlEggEBoNBtVqNRCKgN2iaHQ4H0Ider7fZbDs7OzBJ0HNWq9V6vW6xWEB1hRDc\n1lnDTkxMEESt1+vPz8/xmshkMlwFQFoBharV6n/9138tLi7SYU0mkxCCI0QIAfzNMNtqtf7h\nH/6h0WgQWYJ3SqfTSSaTkUgEhiLwQiKRSKVSVqv16OiIzEbACuZxrkETExOpVEqv1+PygawU\nt6xUKsWekKPR7XazvotGo+FwGKiEDwseNHMxtByONyEEdwWuekArRILlcjk+4larRf4DLCMy\nkc1ms91uDwQCZ2dnGo3m3//93z/88EOfz3f//n3+YSAQkBCHbNAjV7u7u7lcDk0dAxG9gymV\n3CNAAEZmGFpms7lSqVit1nq9jjECyjrEAjzbhJOyiItGo7lczuFwNBoNjCX5UiaTiSxRXNa4\nUB8cHFQqlb29vdu3b7NEQtIC7Q+OcLFYZKXJeKvT6er1ejweZ7dGIgzogclkwu0TH0smYsiC\ndAqo1sAIpVIJMznAWabUUqn08uXLTz/9NJfLKXpoDKCbzSYWIoghUe4pMLoQAqICYVrlcjka\njU5PT3u9XhAYq9W6v7+/vLy8ubmJ6BnJHzPgb37zmwcPHhiNRubTfD6PQxu5YkoOCIIUeG/Q\nlrEHmZycXFlZMZlMiCG1Wm0ikeCcYOMHOgSAzrHBxR/ZNz5TWHvThZXTWrFe2t7eRqc3Pj5+\ncnIC9YW9Aow6MHSbzYYTiF6v12q1JycnmI9zHvT7/XA4jGRRgcv5lKvVKhc7tKyJRAJtCxQX\nm83W7XaRXMI+4rZXLpenpqawpZ6YmGDagKz96tUr2HV+vz+VSjUaDUwNia+UNDvZoEeuDg4O\ndnd34AbvngAAIABJREFUjUbj6ekpuudIJHJ2dqYEDFosFhRrZEFpNJrNzU2Px6PT6SCl1ut1\nlIcEI9F/kb2hayDiD183uj9ubXQNrueY7kO6yOVyH3zwwerqarfbZUHEfi8QCMAWoKfgtYZh\nP4jt69evEWJgaIczNZO+1+uNRqNut1txI8L8SDEkKhQK+Bf3ej1aIQrpSqVyeXn55MkTPJX+\nkmCXTqcdDofZbCZMFq4uBk/ILPkWwETD4ZCJPh6PezwexayV3uFyueAFXl9fg5jHYrH79+8r\ng+fY2NjMzEy73e73+3a7Xa1W404F3K/+KX6XydRqtbIewOTaZrNdXFyQVwKdw2QyJZPJiYkJ\n7gpqtToYDB4dHXU6HXAn8ZMAHdAD2aTdbt/f30fnwlLXZrONj48nk0mVSiWE4OMj4FUI4XK5\narUa3vyRSAQdIH8EeTyfz9vt9omJiX/5l38BLCJ9DW/Ck5OTYDC4u7t7cXGxuLioUqkggAoh\nID7z3pbLZTypFTwKrrff74en4fV6SajJ5/PMyJDH+eXhpsL15f79+z/fgzgSJRv0yNXOzg65\n2sfHx8vLy1w5QU5TqRQh2QCChB7BrIBcxW85NjSIqguFAuGzEHVJ/eCvQf8yGAy7u7usoVDx\n9Xo9mGfj4+O/+tWvVlZWIpFIuVxG8z05Ofnq1atIJMJqiA0P0yJ6P/zm8ZVG8XhxcdHv99lA\nulwuBScRQuh/CsD+8ccfwQ3YWGKLrNVqq9UqiU0Mnvh5ajQavNBIKZ2fnz8/P0cRjgsaHG28\nokKhEMArI+FgMEilUgyquP8Q1kW0Ry6XOzk5gQiMfl3x7w8EAqlUKhQKcUotLi6Ct5AVAsov\nhIDwAI3h+vo6GAxms1kchfimOBARBPP1118/fPiQXYLP5wMHoHFXKhWYhax8HQ4H6YXsOfv9\n/pdffrm2toaDIJ84EVMej8fhcKjV6q2trbGxMZ/Ph6acBLWzszN8BCFvXFxcBAIBEGQ2nK1W\nq9Vqra2tscS7ubmBoI1t99jY2N7eXigUYmGAwyLLzFQqhfGW1WqFDdJsNskFNhgMcGbYTpdK\npdPTU5VKNTMzA+gBUOZ2u8/OznjrYARKNzvZoEeu3r9/n8/nG40GZsSklILiMboyDzJ0oAVX\n1i8Y3SHYVZZXjGwQeDFnMBqN+A1BYAAG2d7eBkAQQpDtdHNzc//+fa1Wy9UYIm2lUpmfnxdC\ntNvtdrsNUQ8/PNZN1WoVNzs2chASMIzWaDRarRa2CZ2dS3Q2m63X64uLi2632+FwtFqtSqUC\nRQTJzOXlJds5GAVk6YJgbGxszM7O4gXRaDS+++47LNaAVtlxJRIJZH7pdJqwksvLSyEEyoto\nNHrv3j2j0fjq1av79+8jybm8vGy1WqlUCjU5uy8s5bh9MwOyWAO9hQVIrG2xWMRw7tmzZ6FQ\nCJgFMjvINbGzn3zyydXVFeohOMKKMggcBuQ6EAggQapWqxDmnE7nzMzMxMQEzGWVSgU5ZH9/\nHzW8TqfDvxR9Ew5zwEfQ22m+aPZUKpXFYiGujLuOAisxiReLxXw+DwwdDAY1P+WRq1QqbKMb\njQaxEvz6oSeKxWLBYFAIMT4+/u7dO16UwWCYmppCTWO323d2dghYePnypd/vj0QiyOVVKtXi\n4qLEoGWDHrna2dkBmMvn81zGsQzlRsnqz2azMbSen5+T3JHNZhHX9Xo9/DABIuEe6HQ6EEnF\nYZLcJqx+LRZLNptFFEBIIIwCnuRCoWC322OxGAZDpNgpelx0xsynkJchXeBfUa/XeRWpVGp5\neXlra4tnDyoVaVv9ft/r9eLiBIWDHSCIJ3xnuNWwFLhuE0BVKBQeP36svBCPxwMFAge44+Pj\ncDh8cXHBqgrHfbTa+Iiy3JuamjIajYVCAUrD06dP/+7v/g4DP67beFlApLHZbCy7rFZrPp8P\nBoNWq5UzEoSEnZjCZZ6ensZKVAkoMBgMr169GgwG2E7pf0r2IrkGSJdcwXg8jr4DSNput2Np\nzwUC/QgENXy3x8fHZ2dn6/U64O/19bXP5+t2u6FQ6ODgYHp6mswqCItEpeDHAqwMKHR1dYVJ\nLD6u0AfZSSi7RCEEikfFx4rYBH4HkskkuIrFYsHm9Pr6enV1FQ8mrFnJjqjX61h2MCvwEadS\nKfjXc3NzksUhG/TIVTQaLRaLsHQBo5lqMULiahmPx9FDq1SqXC43OzsbjUZZraCQZikHdw22\nBvyEi4sLVn/cWGmRmHgggbNYLHa7HQVdt9ttNBpOpzOZTGJBWalUTk9Pl5eXcQrFdgdzBlJW\nMVpT3Newller1V6vVwgBZRjalgLaMlDjk4m2DSQaRm2v13v16lWxWGTyffr0qd1uX19fD4fD\n/HgoLdlW1et1fnI4cKQrORwO5nE0hLwPsHqRF2P6gw9qt9tdXV3F+79YLBaLRb/f3+12FYIw\nDiGs/qBn6PX6ra0tGGyMn+hxhBDInembfBwo6/CzxjWpUqk8f/683W4/efLk7OwMQdD5+Tn0\n4e3tba1WyxFLxsL79+97vR6vOpPJYN6UyWSQdIN+wEfkDUmlUi9fvoTn7vF40un0YDBAXJNI\nJNDW0xBhYTOP06Nvbm4qlQrgD19hOByWSiWj0cgnzlqVbUelUmFhi7oKO3JubKhe4TKSJa94\nkrx+/ToQCFSrVeg97EsWFxchsEsetGzQI1dHR0cnJyfwTNn/sO+GEYEps8lkUsIseH4gRfD/\nFIvF9+/f44qAgzCsOCx76PJWq3VjYwOWHgpsiAFarZa1++TkZLFYREBssVjgWYPDclvvdrus\n8oGtzWYz3AkhBOw9dvoGg+Hg4IBFPwpDaMvNZlOn02E2hLspKzWdToeJfjqdhg0SDofBmk0m\n05MnT3CLbzabvCifz3d1dTU7O8s0xwBIqKuSAaZWq4vF4szMDEs/ggqJ8iI9BIdV9Ohcz5ns\nnE6n4j3vcrnAi+Lx+OTk5NHR0a1bt4xGI5RqIQQjs8vlqlarjKKgQCaTCaQF5R5LSJTQGBWZ\nTKZHjx5VKpVIJIKraiAQwLw0EAjAvZmcnMSsimwwWjCgM+xDMlvx1CaPle5JarvP50PWyBl5\neHiI4p9VRCgUwrWq0+k4nc5isUjmLJpsJXadLAVozqTJIAWq1+s4Vt/c3KAnhNDCNzIYDOTy\n5HI5pOdQBlFXLiwscFBBWCJSkvtKMBiUDVo26JGrt2/fJpNJgObp6enLy8vz83NkuACIPIHI\n0vB4g7WGWxuQ4vj4eCQSqVQqACO41LN9KpVKjEhYXpCGxXqKNRGNj4UbzQjiGmyzi4uLcDiM\nGZDNZovFYp1OB9PIcrnMYIXNphACsh1eHHt7e/Pz89VqVaVSwcZTnnA8iNvtNp5w4O9Go/Hd\nu3fdbjcQCGxtbc3OzuKRj5RDcTF9//797Ozs+/fvQVTBXsfHx7e3t8mmqlQqhUIB5za0Hmgv\n+edo8AD0cePE/cfhcOCJisncV199tbS0xEmGwUgoFKrVaplMZjAYsNWk7cIdhMJhNpuZiNmV\nIZXUaDTRaBRQgisOeay4JIMvnZyc0NcQLnLhYDom2xCgBtkk5BlsrzldYCuTaXBycrK0tIRB\nCllcbCBghfOZKspSPGMHgwEaFs5dPjLIMJeXl3CBMNZAq63X6+v1us/nq1QqDx8+3N7edrvd\nuH/gclUul8fHx3l74ZkoaQCtVoszhiBgVh3gM8Fg8O7duz/34/gzl2zQI1c7OzuY3QABM2FB\nRuZu3uv1AAcAK1HxQn6Ak2Cz2WCDkb2EsgM2G7s7/hQVCZlDyEyMRmOlUhFCtFotl8v19ddf\n379/HzQDjRztkl7carUSicTCwgKWQP1+f2dnZ3Z2FugZlUS9Xq/X6+RCYT8PD5pQFbJKIbQh\nrGBHxHwaiUQikQjo+dzcXKFQIMZbq9UqHmnY0nOdR6dHv+j1eu12e3l5maRacv9arRZjrBDi\n/fv34XC43+8HAoHJycmLiwvoYpxw/X7/xYsXzICNRiOZTK6srEAEBPqwWq2cGRCNkYfA8IVz\njUEKY2ytVuMt4hSkiQPEY+RkMpk2NzdJJoMAztSs1WpR+ZdKJZfLRdC4yWR68+YNbrS1Wi0U\nCvX7fQyPAEwwBgFZ4tTBLqNQKMDoqNfrXq/3zZs3TqeT855WvrOzA8QB2w8zKabg+fl5FKfo\nUfP5vM/nGxsbQ1GCo/fExAQUEeZfn893cnIyOTmJ2SG8T5igDMt8d5p1Op32+/38RrlcrmQy\nubu7+zd/8zdySSgb9MjVy5cvM5mMwWAgywOIttlszszMQCTA3yAajQohcrkcVGKz2Xx6espT\nBMrBrZNBm7U78yOLMnY7OO/s7e3ZbDaz2Xx2doa/B50dthaX8b29PSQYcN3YFykrx0qlotfr\nSbHDuKPX6zWbTUZXxJAIJSwWy+eff37v3j04CcyhMBaULom/KMb5Ho8Hsgeo9Pv3771e73A4\n/Oqrrz744AO4Zb1e7/T01OFwoEr/3e9+R2PC+ZPUWpai4B6DwWBtbW1nZ8fj8eBVD5EOuhsK\nQEjf3W53f3//3r17+NAjkIMo5nK5CLuCA86udXx8/Pj4mLWewWCoVCrwXsCXut0uclCXy8VL\nGw6HiURCp9OhXKe3Ah+ZTCYAASGE0+lEVfTu3buJiQm/3y+EwEqfgZ35lLQtUBp0iYrjEhrC\niYkJ1Op8dyUup16vYzXFwnZrawvKOdSU5eVlIcTW1tbi4uLx8THHjLKRTqVSXLn41ri40OgZ\nlmu1GqSjycnJeDzO9UutVp+fnzMso3ApFAosUUiNmJ2dlUIVIRv0CNbBwQHre+7+hM4dHh7y\nEJZKJTDoer2OgSeBm+CJyFVSqdT79+9XV1chumm12svLS7yM3759y7hnsVhwcGZSGxsbIxuF\ny6lKpcIHkhg98BA4f8RkvHv3bmVlBcbFu3fvADTcbjeDJ52i0WjY7fbDw8NQKFSv161W6/ff\nf7+ysoITNOl/8PnQzrhcLppmt9v9/PPPkUIoPkrQjeFj6HQ6JOC0tl6vF4lEUqkUzGVyCbg4\nc5d3u93j4+Nct6+vr6vV6rfffnv//n2goXQ6DYLPeM6hCMc5n8+rVCqGbiJXotEoiCqICscD\nnAqQa4fDgV6GURS1N0b7fKY2m61cLsdiMSTUarXaYDDE43FUndAQIfbFYjGfz0fADbyUYDCo\nXJsgDufz+Xa7XS6X+/2+x+NhhkXqnclkwKYqlYpCO9nY2AB1cblcl5eXSJnQ+MEYgaQ4MTEh\nhBgOhwj0DQYDv4rBYJBZ2G63QxwyGo2IFf1+/1+i//V6vdfrQY2HbFev1xcWFl69eoVvIrB+\nNBoliWJ3dzcUCp2enh4eHhYKhR9++OHDDz+UPGjZoEeu/vznP7OvhwLBxLq2tpbJZODPFgqF\neDzOf8/MzESjUahabAXJWna73bVaDTUHrarT6ZjN5unp6XQ67XK5FJlGMBgkGgPyWbFYBBAw\nm83RaFTxhkevbDab2RHhXDwcDv/0pz99+OGHDodjdna2UCiYzWa+Fw6ZOH54vV4lbgog+C/d\n4zDkZEbGhhQawNOnTyFUMPrB1iLDZTAY0HTgfjx//jwYDEKxYBTNZrNAn1AIuEcz96F5e/To\nUaPRYMSGdAH36+bm5uTkBCEcWBA3dM4/NNBfffUViQdAEBwDQggA4rGxMa/Xywna7XbPz8+n\npqaAnmBGCiG408CREEK02+2FhQUSeHGPEkLAEK9Wq8vLy7g2szAg9gUZZL1eNxgMUDDZDSiZ\nswrxnG/k9/vPz8+vr68jkQgceQ4Gvp3b7WadOzY2hs8U0AqICl5RvEW0Y3AzREatVot/4vV6\nMWzh0Gq1Wu12m4ArnU6HQRU/LQRKYDcCH0DbQFTC4bDT6VxdXQ2FQvfu3fuZnsJRKdmgR67i\n8Xg0GoW/BSchHo+3Wq3FxcW3b98GAoFyuby0tEQoJ4rqm5sbRApmsxnVWb1eR2NG4/vnf/7n\nx48f0xe4udPdMOP3+Xz472QymWAwiGC33W6TLtrtdo+OjggfGRsbY8kG7NDv9xcXF2G/tlot\njNaGwyFTHgw2fJbfvn1rs9mSyWQwGIQXAaMOz5B4PJ7JZEKhUKfTicViNIXbt28Xi0V+VFBO\nu93OhaBQKBSLRZ/Px0V+enoaUge4MFwFo9G4ubnp9XpRNtP3O51OtVrlDGOD12g0eAPhkvt8\nvsnJSc5FQhS5sNNBWK46HA4hBMvJcrl8enoaCAR4w7GzwA5FCIGQj9MIriToc7PZPD4+npub\nQyZqMBiOj4/hEUK92NjYuL6+ZhR99eqVy+WiIX7//fcQyWErYgeaTCbxnMKM5eDggNgdlhOs\nE0GZoGxDOYdTL4RgmQHD/eTkBEHj0dFRMBhsNBrYV8Fv4SPL5/PwtbGggzuISgX0P5lM8hFM\nTU0Fg8FYLIZGHFAL1bvX611fXweyg7MohODUefPmDeYts7OzEoOWDXrkamNjA8wUjZlOp3M6\nnWCydGSMk4iLFUJw4e31eh6Ph4GoXC6jZ1OpVMlkMp/Pf/rpp0dHR+FwmB5Nsp+yG2RBz+q/\n3+9jx6FY0ZNTRQtjVUXvZhFPIDemaHq9HooV63g0yk6nkxkNjcnx8THKdbJH4dWm0+knT57A\n06pUKtPT0+12O51OA6+3Wq1AIADae3Z2xuuC3YxpJ/7CXDhw58EKgzQ/fETpqoA5GPVhNMFo\nT0opi0dM5TkdDw8Pw+Gw2Wze3NyEx4JXsnL4cdHhSkEwNvwN/s/x8XEOGPaBhULh6upqY2ND\no9EEAoFms5nJZOAtTE1NVSoVs9ns8/m4DBGhYrVaA4EAx1KxWJydnTWbzWhS0FLioIRqH2MW\n/LXJO9/d3VWy3jOZDFQWohoBhdnWsjloNpuvX7+22WxPnz7927/922aziX8h/qIMAYPBAN4I\nPrdTU1PsObASBN/n/8GuAFblwsICbxGcUWYLUoBp5VdXV3xkfr8fERYaRdmgx37uH0DW/7+6\n3e5gMABOvbq62tnZ4Qns9XoYkLJ+QYMLEIGIi/tmuVymU3OXh8MghLhz5w7k1kQigScZ8YAI\nfNfX19GRA0Sur69DdEVooNVqnU7n4uIiZwYwMTmter0+HA7/1V/9Fffrq6srfgDFUsNqtYIj\n/+lPfwJqWFhY6HQ6ULC//PJLh8Px8ccfX19f39zcvHz5UrGNv3fvHu5uKBgbjUa5XGabhP8O\ngDuMjk6ng+sIhBCOHDh8wJ3AstfX151OZ25uDry41Wqhwel0Otlslq+G/f/NzU0oFPr444+5\nrROVAJ9MuaZwS0A4TlCZyWRCXthqtSKRCK8dugJrRqvV+tFHH6HlYfbkuALW4CPQ6/X7+/vw\noIUQjO1jY2OKuZLb7YZaUy6XITgj+0RnDyuZS8nDhw/tdrvD4bDb7Wj5dDpdJBKBrJLNZre2\nttrtNt8ayz232/1P//RPrVaLA3tmZoaMdnzGSUgA7lBET1hyc0XAUYAriEaj+eKLL8bHx9mg\ngFBdX1/Pzc2xX0HoqByl0AQLhQIWhuxv/4+XnKBHrg4PD/P5PKsnj8czNTX14sULZhAaDcbz\nBA6R5MR/o1bAvgfeMfsopm/kvJilcam/vr4ul8vz8/M8XcDN6Iar1SqZAFyTGbSFEHQHxvCT\nkxOz2Qwju9frffXVVx9//DFUX3KkTk9PPR7PyclJJBLpdrs448zOzu7v7+OhGggEWB8JIU5O\nTtjjwZMDsiD+GWyhXC7TGvr9fiwWw/ka16HLy8utra2FhQUiVllIsjg9OTkRQjADBoPBZ8+e\nYezXbrefP38eDodR0MApFkLgag8VAe2GTqcTQnBctdttVn/knKK1mZqaAmxBYO33+4Gwd3d3\nPR7P+Pg4/s6EvDBpktiCyRTUQCR2JI1NTEzgTtXtdpmU8/k8fw33lUqlAiGH+wQRsVxW4Bdi\npwWjGbJzt9vlysJEbzAYrFZrqVSam5sj8RJ0C5vsTCbD1S2Xy9lstoWFhR9//FEIwS8DOz08\npDqdTiaTAVwCk/niiy/W19fX1tYuLi6sVuutW7cgU7PmbTabNPdarQaXo9frcer3er3Xr18v\nLi6mUimv19vv9+fn56VQRTbokauTk5PXr19jU8A9mgaH03mr1fL5fAcHBxaLBaN0MMTDw8PZ\n2dlvvvnmgw8+qNfr5XJ5cXERJyPmL4BRLrZnZ2dwLba2tvCKQw/mcrkODw/L5bJWq11aWqKv\nAdROTU2dnp4qiUq1Wg2GH8QDVH/YiqKz8Pl8LN/g6ikzLFQQnU4H0upyuS4uLhgt4ZwIISqV\nCrwR/gk3aOU2TZgePRQtdbvd5rvwlxGqqNVqpnjFD/ry8vL27dtY+JtMJrvdTtig2+3u9/t/\n+tOfbt26BU1Yp9OVSiW43r1ej1cXj8dVKlW73Yaxm8/nnU4nYzjHm06ne/XqFZ3x/fv3n3zy\nCTb2zPLcOfDx8Hg829vbmLUC92MMzVtNiN/Lly+hGHOmbm5u3rlz5+zsjCaLHIlMQj7ffr8P\nRY+XUC6XzWazxWIhCZ7Tl9xu/JuY93/44QckqdFolFXE9fU1BwBsjaOjI3a8hIIrBiz4gHMP\nIMtRCJHP5588eTI7OyuEwEMVpSgoPGvV8/NzHLTVavXbt28rlcrc3ByhXEQaut1uLm1zc3My\n1Vs26JGrzc3NRCIBmJhMJre3txko4vE4v+ilUikejy8vL3MlZx3vcDjOzs5QD9LWX716BRBJ\n1+OmGYlEkPByi7x79y66DzyPzGYz2m6z2Xx+fk4CtMFggHXHCsvlcuFFR8gpXk7X19fz8/Mo\nttkrCiE0Gk2xWNTr9ZlMptVq4b0wGAxOTk6Oj4+5dzebzWAwCF3B7/eXy2UhBPlbWBQB70xN\nTcViMZZ7KNx6vR5J5CzZhBCYhwDHj4+P88yzBzs/P2f2xL1EccpG2/LDDz+sra0R7PL8+XN0\n0lBHuEY4HI4XL1788pe/FEKQ6NhoNBAQAU20Wi3sOgF5jUajx+MhOBGEt1QqcX5ks1mv11up\nVHCIJR738vJSSV1gmTkYDPCj0Gg0xAOGw+G9vT1EgK1W68cff4xEItyQ6vV6Lpfb3t7mJ//X\nf/3Xx48fQygE9SJ3HAYhVnwsTiG/g2grNqoEw2Oif3Z29vDhQ6AGOOYXFxeYZStAhF6vRx6J\nkTR3HV41v3uFQsHj8XCzefv27draGnruN2/e4AkO6EyQAqA83tl2u12yOGSDHrna39+H0AaO\nTPonyxZYUy6Xa25urlQqCSGwe8c9jvv1zs7O0tJSs9lcXl52uVzQA8rlciKRIOMZywXc+ofD\nIQ7uRMOhXoFSFolE+NNcLsd6Xa1Wo6bjSGA2BDBBIghsAoHa4XBw9ab7YGzGtBgIBNgcYsKg\n1WqxyoSsBjKL2Qgkga+++orrApEo2PXV6/VgMMhwTWcZGxvzeDyJRAKwYn19HfowcPP+/j50\n7HK5DH6dy+XwspibmwNG4FXb7XYgJiTONput1WpBKidfURkMhRDNZhNay+XlZSgUyufzvAPo\nWfb29lisoThnpMUECifum5sbr9eLpAVtIdeL6+vrVCpFl0QT2Gw2/X4//kS9Xu/TTz9NJpNI\nrvf29vAVOj8/b7fbH3/88fj4OOcKqznsL3Q6XSwW44SDqFMqlRjboV1D9iDvhm2H1WrN5XIQ\nIhGUc/9gGN/a2lpZWcHhlu0CDG7QHgyswT3408FgsLKywjSwu7u7trZmsVjQreD6jXUJdyno\nLp988snP+SiOQMkGPXK1sbFxcXExNTVFIDRW7ng1QHVaX1+3Wq0vXryYn59HNo0n+uXl5dTU\n1OrqKq7BcHJzuRxSC4vFksvlYKHSkRkqAZRZ2bOkYihm39hqtVjgMA9C/ML0A3c0hll0LkKI\ng4ODSCQCfRiqg91u39vb4zwgYhWfjePj41AoBLRqtVpjsVihUACBAYdlD4bWkQ0VCR24STCP\n08GHwyH9a39/f3p6ularNRoNdmIMd4yWyWRSr9fDJkbZgZeIwgX+4Ycf5ubmAK/hXTDCM3cT\n2Mj7jAsKsg4alsfjQecdjUYjkcjm5mYgEIByg4aeVovsCBs5MlCQ0oHeEMaKIhFhOowd+DDx\neJzlJMqXiYkJRQ3k9Xqr1Sosb7vdfnBwwEkMixH8itWiz+fjNgOVHtBJpVJls1lCyiHOQ60j\n9JKZHXyc34FarQY7E6N9foV6vR6HULVaxaMK/I3FIB8cZPNSqRQKhQqFAoQfhFRzc3OXl5f8\nkHz0jx49khCHbNAjV6enp+fn5wC7oIcwtzAh+vWvf/2LX/wC5imuDjqdjt26y+UikY+ZCxB2\nenqaayNXb3rNwcEBbAQoHDs7O4hZKpVKLpcjQU6xkgCIuLq6ymazuAhhyU+cEr2DJOn19fVH\njx4xhg+Hw1wuNxgMNjY2VldXCRnhgT89PWWgY0uWz+dzudz8/DxjF4YhiUQCBwks6Ih3Oj8/\nx1UVmhcCcX6AZDLpcrkUfyh2aODs3W4X+gdwBKEhkBFxhGC59+rVq9nZWaQiOBPhdwzwyuB8\nfX0NIxtvv+vr61evXj148ACzJxgmt27d4ltHo9F6vX52dlYsFkOhEOliY2NjoBxWq/Xs7Axw\nnM+agRfPuWw2i3RI8bGq1WpYRI2Njb1+/VoRvPBxCCEqlQribGgtWEolk0kALovFwjpBiUpg\nW4DEkRUFiPbp6SnUcray2ArSlzOZDL6AWLNChYQQrdCfhRChUIhTnJMACQzaIniinOVOp9Ph\ncLjdbjJx+NSwt+bT9Hg8ckkoG/TI1dbWFtbpuM1hEDE7Owv5zO/346gLv1Wv18fjcWgPWDhC\n7+V+ip0QCmbGKI1GQyNeXl7GGS4UCjkcDofDwTiDXRHaE9qcVqsFUmi1Wnfu3Lm+vsYXAjNM\nxt7d3V34BkIItVrN8AU2jXHSxcVFNpvlyIFQzK6SVGxUf263mznu5ORkZmZG8eeErZzJZN5d\npeMdAAAgAElEQVS9e/fhhx9iTmK1Wj/77DMCcPGGZ4I7PDwkfZGJ8g9/+MPy8rLC+sKQCHEd\nLp2MfkIIr9eLmTV0McgMRqOx2WwaDAZ2tkqGLL5ULpdrdnaWb1Qul5V9bDwen5qa8vv95I8E\nAgFAGNjKiPRoagRCFovFZDIJIadYLHKUokLs9XrPnz/3+XzhcPgPf/gDZ0m9Xp+ZmYG/0el0\nQLfwTYUWzUBKFAuvXRFDMt4Cs3CHYJOZz+dtNhs+gviGE+Go1+vR+yUSCa/XCwvTZDLBgMRa\nBJGOTqdLp9M4X3N1GBsbI8wFEhHxERMTE1jNYBOI+wd5mAwi//3f//3RRx9dXV0tLCxILw7Z\noEeuDg4OYrFYNptFh0JcLPiswWA4OTlRqVR+v9/r9YIhGgyGjY0NHm+9Xs9AXa1W4RiATpTL\nZVoYJu4Y6CD3MJlM2JkOBgO6cDgcHg6HXOHJPyX/QpF7wdQmbQTPnUwmw0SMaQPXYSHE+fk5\n/sVEAczOzkJn5kIAs5vLOJwt8mJu3boFnQtzS9hjDocjEAjwPmDC9/Dhw5WVFbVanc/ngXQB\ndmhwtVrN6XSyuYLXRefd2tpyuVyMrlDlMANpNpuLi4sEO7E4rdfr0Wh0ZmYGcjRsmVgsBrnF\n4/GQcQWPghZDvqrD4QBHZl8KUS+Xy3Ep6XQ6+Emhx3v+/PnCwoLZbLbZbEDAmJ8UCoXl5WWj\n0bi0tEQjm52dBc/FqaparcImxjyE1y6EAAejOSo+LQD9Y2Nj4+PjoF7gDy9evCBJNhwOc6Ij\n9iOYCqzp6dOnBoMBjocQgmkACqZer4dtiRCfYdxoNGLqj2k1XqadTsdut8Pn4xSkGN4NBgMB\nQNB+EFveunVLNmjZoEeuXrx4EY/HQY2xvJmZmVFmH/weG40GWmTypBcXF29ubqAMswgKBAK5\nXA6RRSaTwet9MBgkEgkyWVB8sWT3+/0XFxdCiDdv3ty7d+/y8pKIP+ZcJIjFYpF/YvqpgKEZ\nBi0WCw44uVzOZDIRzZdIJHiq8fwsFApoBcFYecJJG0Blvr+/73Q6Q6EQMzgMBMBrWoMQAo83\nbE7NZvPh4SH9kXPLarXCaIZCoFarEf6BDmFXrVj7A5uACJ2enuISZTaboTfAHguFQkTDIMkh\nQA9yYb1ePzg4mJycZIc2GAxOT0/D4TB2RbRgIQTm9J1Ox2AwzM7OAisLITgpz8/PIX6Mj49j\nTg3RDWZ6LBYDDWC0BHYvFAqXl5eTk5P5fN7r9fLT4hfa6/X49LklQGJRqVQI6AlXzOfzRqNx\na2uLGAS4KKSi5PP5Z8+eEWeDEhJVPT6F0WgUtxPyxqDbc5awHgSNwQSVV12v18PhMBkrXA5A\nb2BSDwaDTqeDMAfSjuINPTU1FQqFXC6XVBLKBj1ytb29zbTldDoZVK1Wa71eF0LQahETulwu\ndGjoKVjK6/V6p9MJSwnGLg5wmN3gXEFGp1qtPjo6onmh93M6nUtLSwAgjMNcxtFWEAUCE4Dl\nEtoKwFabzZbL5fju8XhccfsUQtjtdrvdXqlUAD1x9SRFpVarIZtGfOHz+biP44nMv02lUsVi\nETcSPOfwysBpU8kYnJiYCIfDGxsbCmccigg3DLPZTB62wWBAd8OwiY/S7u7u/Pw8TA+TyTQ7\nO0vwCmwHjUbD8YZexuVy9Xo9JN0IBVEPgplitUxrhjHS6XRYKjKVE7wLA0QIgTWgkhzG24gR\nFfj7zc2NSqWKRqNOpxOmWrfbXVpa4ndgf39/bm7u6upKCKHRaE5PT9fW1oDXUdBkMhmLxYK4\nsVAosM+EH2kymdrtdrFYVE6vVqv14MGDxcVF+rIia8SkMBKJcPT6/X669nA43N7ettlsuJIq\noRAwoIUQY2NjqVSqVqsJIarVKoCS1WpNJpMofcbHxw8ODsCv8DuFVoiz0tTU1OPHj3+eh3Bk\nSjbokavnz5+zChNCqFSqarWayWRY1gFB6vV6rJyRjTidTno02jB0bhcXF16v9/LyklEIEhuK\nCZ1Oxxae3GumTofD0Ww2yc9msYP3G48ccg8QbfydIajRdHK53OHhIbktwBTYtBN1yM4QRze2\nZCTDAlli9/P+/Xu/3398fDw5OVkoFCYnJ2u1msPhAMJm8Jybm2OYhR0MSRnT1FAoJITI5/N3\n7txhuYcRfjQaZU6HxjcxMZHL5ebm5oQQWG1AnNDpdLQYLC7RyAD9Y7zJmhFX5cvLS+hu5Ngi\nLcH4tNVqORyOWq2GNgQOYrPZxKN1MBicnZ0hqEEgjrPH2NjYxsYGq0XsrqAkQnIABQJV56Vx\n58BYo9vtQv7jOgXUgJ332NjYy5cvgbny+Txm2XQ9jKJgRv+lRQkqbb4vVi1mszmbzcIgZJZn\nBMZVFc7JzMxMrVZDP5lIJPL5vNlsfv78Ofm25FsC/XPImUymVCqFVZNer49EIpeXl+FwGA0q\ncwDAyO3bt+WSUDbokatMJoM/GRdSfl95rhSXXtjKpCCzOr++vsYzbH19nc6LVzpiE1SCqBCF\nEMqKhl0fFIV6vf7u3Tu73U5z6fV6BwcHMzMziimPEKJWq8FpValUTLvk/mm1Wr/f/9133/l8\nPiK1aD1ut1vJZ8Kigc3+9va2xWKBP0cPLZfLy8vLVqsVIQz9glNHCMFtHToarRlSIO6aeIQS\nF8DrgozMv2VvptVqt7a2IKglEglofLyfZFdrNJo7d+7gyIH7EuJDovO4rNBbe73e8fGx2+0u\nFotQHRgPAbsZSPV6faVSOTs7A96p1Wo422WzWT4IJlmMQ1utFntLwBwM7I+Pj1dXVxF/gidw\nMUqn0zhvnJ6eQpvDFJA2/ZfO1D6fj1AYQssAlKB189ZhIX16ekqcAj+VEELB0LklmEwmGI0K\nO0j8BN14vd7Nzc3p6elCoQB4BcSEhh73fUiN6HQmJiay2Ww+n8cKNRqNkkLZbDZhpkcikXa7\nHYvFCLuRE7Q0Sxq5YmjiOkzU5tjYWKvVqlarpVKpVCohqUAukclkEokE7ALgWoACRCX00LGx\nMXoQUyrgALFD0WiU1RAqkunp6YmJievr64uLCxLzsNXHnQ6LNehQLO50Oh0oMNv8J0+e8FwR\nXWg2mzudDpdxjUaD1RzCvydPnkBjyOfzrNeAqjc2Nur1OodBNpvl7Mnn8wpM2el0crkcfSed\nToMeFAqFpaUldmXv379vNpuHh4cs0KamphwOx29/+9vJyclPPvmk2+2m0+nFxcVcLjc9Pc1Z\nsr+/D30tnU4zkGYymX6/z+RIy0C7YbVaPR6PRqNZXFwkGBdGoBKAAvf8/Pwc9dDa2hrXETB0\nDEmOj49///vfdzodUIVmszk9Pc1lCO3P6elpt9t9/PhxtVqdn593u904lhCAgtAcbGp6evr6\n+jqZTMLe83g8cFp6vR7OSvV6HVyrXC5fX1+fn58nk0kFAxkfH0fiiIsAGvHNzc3r6+toNPr/\n/t//I9MHS5DJycmTk5N4PA60pVBNxsbGOEcZgfGbbTabcJ/b7fbNzc3Y2BhJ3vT3cDicSCSQ\nyyI+RBw0GAyi0Win03n16hVUk5/1QRyJkhP0yNX333+/u7vL5gc7CwJJUXn4/X4YC0B7gUDA\n4/GA5CJtcDgcmKYznKbTaZi/pFJptdrvv//e7/cXi8WdnR34FfTrSqUCVsDM63K5zGbz+vo6\n9GQ2V0aj8fe///3y8jKmne12G79jhkGoF4Rz6/V6/CVomtPT0yDFg8Hg8vKSoTsej8Myxin0\n9PT0wYMHQgjoAcT6qdVqm80GlQXMBPpXKpWanp7G4wJImvVXKBQCVaCDs+cMh8OQ82w2GybO\nXq8XzylM1MjZMxqN0HL7/f7x8fGdO3ewJclms+RUvXnzBvoEBwbUiHA4jKxuYWGBF64E7+Zy\nuXq9bjKZ4I0IIeCMz8/PD4fDm5ubg4MDNN9EKxCjDn9Oq9Vi33x1dXV9fa3YcMdiMdLTMU2e\nnJzEZxmIH1CI0wISDmtkrVYrhGAF9+rVq3v37qE8QpDCFaHX6yUSiUePHgGRLy4uOhyO09NT\nIJfBYIDlAHejaDQK0bNWq83NzZFE3m63kUEpelTIGzc3Nx6PBwMTPA5brRZMQfbV2DmhIHc6\nncvLy2q1emZmRiaqyAY9crW7u4vPpPJ481t+eHjo9/uTySSSYjI6CVrmGQBLPT8/p+XV6/WT\nk5Nut7u3t7e4uIgJ79XV1erqKqpx5SZrs9l+9atfzc3NgQZwR8YbmhwQeHXYeNLEe71eqVRi\nE7W9vT03NxeLxeDkNZvNZ8+ePXjwAKKV2+0OhUKVSgX0AFczIcTExITVauWuAN8WKAA2MWni\nMPxOTk6wCebYgBEI57pQKEChE0Lg9w89AHR4cnLS7Xbj8gGaj6iPyQ4XUyxYbTYb+LvyTs7M\nzJBxJYSYnJzc39+32WzLy8sWiwX46M9//jNylW6322g04B1PTU1Fo9FAICCE+OGHH6ampnAR\nSqfTpCPyepHyJ5PJxcXFqampcrmMs+vMzAzOnDqd7uzsDJ4JBB6YNng84Y2FiJE3gVEUDyz2\nybRvCCTcD3DyhBnZaDSKxaLZbHY6neROQZEEN1eyGcG+2GpCvIH1rNfr37179/DhQ5T6OP/h\nGJVMJvnt4khoNBpIWqDuEY/AF8Qbmlh0v98PwkM8DX57c3NzEoOWDXrk6vDw8N/+7d+WlpaY\nd/A2yuVyCwsLNDWilOEPCCGgWCi0BJi2WBUzTc/Pz/f7fbZYiUQiGAyWy+VMJgOXI51Om0ym\nxcVFl8tFwyJbOpvNggLTvzKZTK/XQ6xoNptTqRTppWdnZzMzMxsbG0xhtVrN7Xavra3hvIyx\nJ/5t0AmcTufu7m4wGNzZ2YEWQjOFBMIwzjeCucxExlqJLsNobLVav/vuO+X8gNmmn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3Nzc25uDmsUXJuFEDqdDsMTzjzkcxhXkVwOpa/f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\nggaYCn3olM4+av7pAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(log(1e-5 + abs(fC)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 6__\n", "\n", "Compute a best $M$-term approximation in the wavelet basis of $f$, for\n", "$M \\in \\{N/100, N/20\\}$. Compute the approximation using\n", "a well chosen hard threshold value $T$. Note that the inverse DCT\n", "transform is obtained with the function idct." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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8nAFCGv0DWoHutZKBSYIEsEd+ShQHyRd+LUzVwux4mooTzKRqOB7M7n8/l8PmnR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Rmcn0MV8rYLd0S5/Zngj81WQOBo6oBB8WDpajMMgAACAASURBVIdxfSQi0JFE5OLp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VtYybHf+Wt2DS2Oz800Zv5JuTSZlEQiQbcsp5QD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\nI9tcQMtDkBwAAAAASUVORK5CYII=", "text/plain": [ "Plot with title \"M/N = 0.05 , SNR = 24.8 dB\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "\n", "source(\"nt_solutions/coding_1_approximation/exo6.R\")" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 7__\n", "\n", "Compute and display in log-scale the non-linear approximation\n", "error $\\epsilon[M]^2$.\n", "Compares the Fourier and DCT approximations.\n", "Store the values of $\\epsilon[M]^2$ in a vector $err\\_dct$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Yphr1KIzG6sMzNKP74hTWvSxyy/kybw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\nAhoALEVAA4ClCGgAsBQBDQCW+j8u6XjazV5DSwAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"log_10(epsilon^2[M]/ ||f||^2)\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "source(\"nt_solutions/coding_1_approximation/exo7.R\")" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Local Cosine Approximation\n", "--------------------------\n", "To improve the global DCT approximation, one can approximate\n", "independantly small patches in the image. This corresponds to a\n", "decomposition in a local cosine basis, which is at the heart\n", "of the JPEG image compression standard.\n", "\n", "\n", "The only parameter of the transform is the size of the square." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "w <- 16" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialize at zero the transformed image in the local DCT basis." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "fL <- matrix(rep(0, length=n*n), c(n, n))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Example of patch index." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "i <- 5\n", "j <- 7" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "For a given path index $(i,j)$, we extract a $(w,w)$ patch." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "P <- as.matrix(f)[((i-1)*w):(i*w-1), ((j-1)*w):(j*w-1)]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the Cosine transform of the patch using the fast DCT algorithm." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fL[((i-1)*w):(i*w-1), ((j-1)*w):(j*w-1)] = dct2(P)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the patch and its coefficients. We removed the low frequency of\n", "$P$ for display purpose only." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Plot with title \"DCT\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "\n", "imageplot(P, 'Patch', c(1, 2, 1))\n", "imageplot(dct2(P-mean(P)), 'DCT', c(1, 2, 2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 8__\n", "\n", "Compute the local DCT transform $f_L$ by transforming each patch." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "source(\"nt_solutions/coding_1_approximation/exo8.R\")" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the coefficients." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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XxeZ0bD/Y2kWpzrrLPOmpiYKBaLOFcm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\ncrlSqbztbW9bWFg4cODA3NwchopoDBQun52dRcIWDG1QLUVk9+7d2Wz2u