{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Active Contours using Level Sets\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": {}, "source": [ "This tour explores image segementation using level set methods." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "\n", "import numpy as np\n", "import scipy as scp\n", "import pylab as pyl\n", "import matplotlib.pyplot as plt\n", "\n", "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Managing level set functions\n", "----------------------------\n", "In the level set formalism, the evolution of some curve $ (\\ga(t))_{t=0}^1 $\n", "is computed by evolving the\n", "zero level of a function $\\phi : \\RR^2 \\rightarrow \\RR $\n", "$$ \\enscond{\\ga(s)}{ s \\in [0,1] } = \\enscond{x \\in \\RR^2}{\\phi(x)=0}. $$\n", "This corresponds to replacing the parameteric representation $\\ga$ of\n", "the curve by an implicit representation. This requires an additional\n", "dimension (and hence more storage) but ease the handling of topological\n", "change of the curve during the evolution.\n", "\n", "\n", "Discretazion size $n \\times n$ of the domain $[0,1]^2$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = 200\n", "Y,X = np.meshgrid(np.arange(1,n+1), np.arange(1,n+1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can create a circular shape by using the signed distance function to\n", "a circle\n", "$$ \\phi_1(x) = \\sqrt{ (x_1-c_1)^2 + (x_2-c_2)^2 } - r $$\n", "where $r>0$ is the radius and $c \\in \\RR^2$ the center.\n", "\n", "\n", "Radius $r$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "r = n/3." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Center $c$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "c = np.array([r,r]) + 10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Distance function $\\phi_1$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi1 = np.sqrt((X-c[0])**2 + (Y-c[1])**2) - r" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 1__\n", "\n", "Load a square shape $\\phi_2$ at a different position for the center." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "run -i nt_solutions/segmentation_3_snakes_levelset/exo1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the curves associated to $\\phi_1$ and $\\phi_2$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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Hay+5RFRIJRfYEGdKu/hySetcHXpsbjldk6k3m8U/bNqEf/vSS/j07t3YtXQp\nbtbXD2kX6ygVIoo08eKLwa035XOVYpwnqY02XqP8MSFlGOGU3ImS3msuFBUwOw4dQvO1azgzbRpe\nXrZsmLCRRBDgX7iT1pFElC+J3CfaQpPN6fmIcaYovvrcgpmAPmWW7Kf7NMdKShjnnCKK7yItOWGc\nQ5KUvTt/Pg7NmoWV58/j8Q8/xD8PrjPGPRIlOQ8xbpUkOLhj5hK26XHHJH/HiDbalqvDuVW+82GU\nPyakDCOMis+8ruvrw6f27AEAfP3OO8UHyRpGMJkM/vHOOwEAjxw4gCk9PSUekGEYhlGOlMSJ0tyT\n0H3J/ocPHsTkmzdxtLkZu+fN87aXXC7OYZLyldx6oUnkkvMluVXa+KXjk84Tt8/nDIRM33H1uCTy\npNx1sqQ8KWlpBG1ZA8nFAoZObVF3hI7THePx5ma8v2AB7jx9Go9/+CH+ccsW1S3itkOm4kKn3LQY\nWhuX2FhazlaaaUGjsjA3yjA+RrteluWK5aHbtX19eHTfPgDAUxs2AJnMrTvyfG1D87Dc/dJUHa3j\nludyueD8J6lvaVxuOX1P44cgTd8BcTlRscnl3JSfK2iS4wi9Gy80iVzL9QGAp9avx52nT2P7oUP4\n/tq16JowQUwSd9GmzmjfIVNuNDaN6RNxxRZDoQnjkpgzKgsTU8Z4haawcJTciXLL3dcQF+bBlpZb\nLtS+2bO9QiNEpHCCinOwQpPIQ3KipHLNdZJEVyFoyefuBVHLidKcKU40JXG4Mk7E+XKbpGR0yfXR\n4p+aPh2758/HxjNn8Mj+/fjnTZtEURESO2TxTckhcuvQfYWKIZ/QCXHHNPfLPQajMjEhZYxHpKV2\nXEp6dx6X1O1ua69VuRx27t8PAPjumjVRLhSNReto04BaPGlajhM8knhy66eZzpPOpQ96kaNCKcGX\nRJ5cTH0CyTeVJzlH0rScrx0nBNwxcSIgn8/ju+vWYeOZM3jo0CF8b/169NXVBTtKdDutE5VGDEnH\nEyu2QpPiaRwqGo3Kx4SUMZ7wPRnjVr0RHseIcVdrK5quX8e5KVOwZ8GCUg/HGKMca25Gy8yZaOjr\nw/1HjpR6OIZhGEYZUdIlDtxt+qq1y+Vy+MSBAwCAZ1atQs7ZH+vecA4T106aruMcJrcsTTta7r6G\n5EQV+otRWlSTxtaSyN12oc4Tda1ilj2Q8qekKT9t2i05hmT/M3fcgeUXLuDhAwfw/KpVQFWVd8qN\nxqVorpN7QL/yAAAgAElEQVTmjnHlUiyXtI5SoXW4fDCjcjE3yhgPhLpQQIkTyxPoH1htWgwAFly8\niGXt7eiuqcHrS5bc2hcyDUjr0m1pvSd3n1bGCaaQOlyZ1I80ZomQCxgVIQm+nCh3octkGi9GNLl9\nuGVuLKkOJ5TosdCpKnd/yPQaAOxesAAXJ07ErK4urDp7FocWLPBOudF9kkDzTZ2FTq9x4iu0Ttp8\np5A6mtgyKpf+/v5SD8EwikpyPYkRUECJnChfYrf7SusBwIMtLQCA15cuxc3qakBxryQXSnO+NNHl\nE2JcH7RdGlHlOx7uWGJ+/XMXQffCn1BIEnlMYrnm8GiuD9eX5Di5dwBqbtVAJoOXbr8dP/7BB9h+\n+DAOzJsXtJikJoZihY6vDtd3aJ0QoaMdC1fHGPuYu2iMFQr5m1VxOVE1/f2459gxAMBLy5eXeDTG\neOGVZcuQy2Sw4fRpTL5xo9TDMQzDMMqAslknKmR/LpfD+tZWNPT14XhTE85Mm3bLhXKdG82RCXWQ\naB3O9aFl0p130nShNG7pWKRx0PfFyFvQHjYc8gy80DI3rns3V+jdelKZNKXnjtvdR+PRulcaGvDh\n3LlY39aGu48fxwtr1gyrJx1LrFskuT6+OtoUY+i5SJMTJR2f705Ko/KxHCmj0nGvYWkoeU4U/ePq\nE0L3DrpQbyxdqtZL3vsEmlTOtfWJIakOfS/FCSnTYoQeowSXF8XND3NTeEn7NEnkSRk35cYJKzrO\n0Gk5X3wqBuh04RtLl2J9WxvuOXbslojSpumkXCNpvSeJ0Dq+6Tvar+8PR1InZLmCkP6NsYuJKaMS\nKVRAASUQUb6cIfre3Z548yZWt7Uhl8ng7UWLhtTT4sa4TO5+TdTQbbeOrz+pTmgZd8zueDVhySEJ\nkNCcKOlRLcDHi5VpQiqJGSqs6PHEOkoJ1FGR+nPbvT9/Pnqqq7GkowNNnZ1onzxZvRNPc4ak8WhC\nx1cnxMFyiXGVihHbGNuYkDIqBfcaVyglXWxT2ubKc7kcNpw6hep8HvvnzEFnfT2giBqtH8llkuK4\n+6UpPKk/TggVIqB8yeaxAsqtw03r0C+bJoaA4UnjbmwpsdztM6mTiARNaHHOjhsrQVt2wO3PJyB6\nq6vxwYIFuPfECdzV2oqn165NJYakcdL+0ogaiRhRM5KxjbHLxKtXMef4cSwavPHHMMqNS83NOLxh\nA7qnTy9azJJP58Ww8dQpAMC7CxeWeCTGeOW9227DvSdO4M6TJ/H02rWlHo5hlA0/9pd/iZnnzpV6\nGIahsu0HP8Bf/NZvobe+vijxSi6iJIeHuis1/f1Y3dYGANg9KKJCHSxpn7ufToWFTsvRbcl10lyx\n2GRz2r/kRGkOlUvMdBPnPNHpP9ep0hLLOXfLlxQtTZeFTMvRbW16T8pf+nDuXPRls1jS3o7JPT24\nPnFiUCyfOxY6phBXK8QZ4tzGkXSdQhxRo7Jp7OgAALz02GO40dBQ4tEYxlAyuRwefPpp1N+4gQnX\nr48NEcWJAKl8xUcfoW5gAK1NTbjS0ID84IU85G41Lq4mNtJM5bnb0rReUoduc3W0Mncfdxyh4smt\nI4kV7WKp5TppK48nZZz48gktLpfKPT+xq4Vrx82dgxvV1Tg0ezbWnj2LNW1t2LVsWVFXAtfg6sSI\nqhBGu50x9nh/61b01dZajpRRdtz9yiuoL/ISNWWRE8Xto3XWDLpQH86bFyW+6HaIewXId9OFvHLC\nx5dLxTlNAwMD4rG5IiqtE6W5PFyZ60a5Mbhcp6TMda9iksa1bcmN0sZMhV0hztDeefOGiKgQASE5\nRVzdkDwtLnaIO8TFTttOO17DADDkb5hhlIqRfBh6xSy2uWpwrv3AnDklHokx3tk/dy6Awe+kTVMZ\nhmGMW8omJ0orm9DdjQWXL6O3qgpHm5vZOpwLpS0BoC2JIDlaLpqzFHLHHt0Ocb6ktpIr5jsG6gSF\nuDAcoblNsXfeSdvSlJ92XFKuUch0Ho19dupUdNbXY1pPD2ZfvYoLjY3D6nDHy6Gdc61OsWKPdLuQ\ncRpjG+1vkGGMNCPtlJfk2Xn0vW+xyNsvXAAAHJ8xA31VVeKv/5CputApQFrHlyCubWtLHABhK51z\ngil0ilEaX2w+kI/koimtPB6bNB6ap+Xu8y13QMu16UNJCOQBHJ49G1taW3H7+fO40NionqeYabPY\nqTJOEI5kO7d9ciw2pWf4sPwooxTEPkw4DSV3oiicAFg2KKKOzJw5ZF/swp0hIsuNm0YwSds+8eaK\nIu64JBEluWhcHxRNQCTbsRdHLtfJt/K4ljTOuVc0FpfLRMfDiqEIsUHfH505E1taW7HswgW8unz5\nsJhabHc8acYS+7mkbUfbh45TimEYliNljDTJ36fREFBAGSSWhzhBi9vbAQBHZ8wIFgYavuk2Wi5N\n1XGxfEscaNvclF6IiAoRUnQ7Nqk8lEKTyEPcpxix53Nc3FgxC2QemzEDALBk8LvpI1awxbRz6wLF\nm76LjRGaOG+Mb8yVMkaKTKbwx7jEUvaJ5Zl8HrddvAgAONHUVOLRGMbHnJo+Hf2ZDOZ0dqK2r6/U\nwzEMwzBKQElzonx1crkcmru60NDXhysTJqCTWcAtdrpOcrK4tr7pudBpwzTbksOkOVG+V6nPQhwI\nF23qTJqGC93mCHGUQtrScnosHH1VVTg3bRoWXL6M+Zcvo3X27KB2tH/OGYwddzGm6dK2M7fJSIO5\nUcZIUIobWMpisU2NeZcvAwDOTJsW3C4kV0oahy/JPbRfd1ub5pO200zn+ab2JNJe0BOokOHKpFwl\nui1N57nCSLvjizsW39QcfS/h5l9lMhmcbmzEgsuXMe/KlVsiSht77PlN284dQ9JutIWWYYRgYsoo\nBqWYxkso+8TyuVeuAADaHBEV0i62v5ByXz6U771vW3Oe3DK6XxJabkztvBSav0Jju3E08cOJISoY\nNCHgul7SLxAuPyfGqdLOy9mpUwH88DvqtoslpL+Q9sUaA1DYrcEmvoxQTEgZaUn+xpTyb03JE8t9\nzO7sBACcmzo1yDHi+ol1mpL3Wh+SOIkVX+42Nw2nTdGFuFXSmOiY034JQx2m5D3XnySGOLGjuUpu\nHz4KnU7L5/M4O2UKgB9+R0PaaccQSqwg5KCuWiEUU3wZ4xMTUkYspXSfXMo+sXxmVxcA4PzgBcsw\nyoULg9/J5DtqGIZhjC9KPp3Hrcnkvp8xeIFqnzSJba9NnWnEtouZLoxZQsHnaPnynXxOlDZu37IA\nmUxGXWsjxHWSkNworX2MM1XMZ8RJ7ZLvZNO1a0A+DzC3+Pv681Hsabpi/XIz18koNuZGGTGUy1MQ\nSi6iNLK5HKb19CAH4NKECalijJbIkhbojIkRIqwkIRWyLfXH5R8lr5r40qbp3H2F3HmXdrottm4a\ngXGjpgbXamsxqbcXE3t60FVfX9B/7HLNSSrG9KFhhGJiyvAxWgtphlCWSxwkTOnpQTafR2d9PQac\nx73EuEK+MaSNEZOTpbXzrY4e8hoionxiiJtfltpo7pMkrCTnKTkHaRK9Yy7oIyUqLjc0YFJvL6Zd\nv46u+vroGMV4ttxI5SQV85wZRgwmpAyJchJQQJnnRE3p6QEAdKZ0oQxjpLk6+N2ccuNGiUdiGIZh\njDZlvU7U5Js3AQDXAn7hJ7HS/oLR8phC+i1mO85pk6byaP0YJ0pzLripPJ+j5HMuYnOSYuBymULG\npI01JI+oq64OADA5QEQV0ykaqZykkXKfzFkwYrHvjOFSbg5UQlnkREmCoiERUYMXqkLiFkqh4iwm\nJ8p9Lwms5L0vRyqXy7FxtQulNDUkTRvR6bzQqSWuXQhp241ErOuD382Jg99VN+5IiJGRiFtpgswY\nP9gDiw3fDU6lpixEFEcul8OEwWeS3aipKShWMcVUMfKpNFcoTd+aQyU5UdwFThJFdF+My+Pm/qRd\nzwgo/p0YxUqQ7hn8bk7o7QVgImck4xrjF3Olxh/lsJBmCGUrogCgrr8fAHCjuvjDLKawcinGf/aY\nxHnNvZKSz4HhX0wpYTyNYCrGRbRSxMjNQRFVWyG/mEdKkBnGSGNCavxQLgtphlC+HhmAmsELU5/d\nUm2UKb2D383aQcFvGIZhjB/K2omqGvzl0T/C86Ej5UqNxDRibEzJnXIpZU4SjVsp00vJORgY/G5W\njfNfyTaFZ4wGliM19slmsxX1t6SsRVQ2ufBX0Akdy9iFcji5ZN6+xOMwjPHESP3wNUpLJV5fylpE\njRYj9cGNRFya/B1SX0oijx1fpST6jQa3zoX9MTeMkmA5UmOHSr62lLWIGhg8oVUjcKGKFSOhZLPZ\nov3nllYD99WXHstC67pfXLdOzBeaa5eWYsaS4habxC3NVch//kr6wWAYPkxIVT6VlETOUdaJ5f2D\nSbs1Ng9ulCnVg3/E7eYHwzCM8UfZOlHZbLbs73wKcYfSxJLicnV8z7LjYtD3yS8BzQkqlTtVzEXW\n3LEUK26yDEfvCCzDYRiGH0s2r2yqK/xvZ9mN3hUBySKb9YOLbqaNVYypu2SaLq0ooMKi0Kk5bU0m\nTTxRwZW80uk9t1yKywkr6fxwoqVY57IQCm2ffDeTtcxGYm6/0qbgKtmaNyoXSzavPMbC34qSiij3\ngsP9B+iurQUANAyuBu2Llc/ni5KTlNZh4tpJ4+FElW/FcG0xzARJVIXkR3HiKVZY+colkvppHSK3\n3WiKs+S72TP4XR1pTKQZhozlSFUO5fwolxjK+iiS55JNIs8lM4xyIfluXk/5fEfDMAyjchl1JyrG\n5emaMAEAMPnGjWExYmP5xpOo4tBfMmmn9zRnKvSZddy2VKadI+q8+HKkNHeKew19H/KLJK0DU6hz\n42s3ZfC7ebW+PipWuTpJIzXGsfKr0yh/LEeqfMlkyvthwmkou5wolyuDImpadzcyANLIJU6QhOYk\ncTEkOFEliSGuHa2j5ULR8XFjlvrXjpUTUZKQ8m1reVoxokmj0P+MxRBW07q7AQCdDQ2pYhVjGpJr\nX64izTBGA5vWK0+K/SD5cqBsRBQVEPl8HjdqatBTU4MJfX1o6O3FtcFEcy1GsXKZQsYp4bpavmTs\nQt0nGtuNE3K3n/ReypOiwom25bYLcZrSiq9YcZKmXSaXw7SeHgBA56RJt9oW0/0qhoApZh4VPUbD\nKGdMTJWekcjjLCdKIqJckaAmgmcyuDhxIuZfuYLma9dwffr0Ye1CRA3Xn9aOm+KTvgChoso9Ruo+\ncS5WrIBK4tJxJMfiFQSCqyS5VFobt767T+srGT89Hh8x/0HTihOp3bSeHlTncuisr0ef5zbdYgij\nchVDY/WPozE2MCFVOrgf3WONsp+cbJ88GQDQ3NVV4pEYxlBmDn4nk++oYRiGMb4om+k8SqJez0+Z\nAgCYffVqVLvkfex6TBpc/hLtl/bp2+ZihD66JRTfeeDcpuRVeu+WSdvA0CdyF+I0cdtSXO3YfPF9\n5e7+OYMiKvmOhrTT4qWhnBylYk9DGkaxMDdq9BkPLhRQhiKKXvDPTZsGAJjb2SnWkcpoeYiocqfW\nfOJHmqZzL+5aXhR9T8tCxZ0EPfYE3wKdnBhyyzTRxP3HidnWzk0xRJPbPnYKkPY7Z/A7+dHUqVHt\n0vYXG6MYgm48/BE0xgcmpEaXsZhEzlHSJQ58oiabzeJcYyMAYP7ly8GxteUK6AWGe3QKrcttxzhM\nybG4Y+K2qctV6EVQOjbNRXPLNCElbdPjdYWP5FBJ2y4+QaG11YQq3Q4REEl58p1smzYtWpDFfMbF\nEDUh5yBNLBNZRqVhYmrkKPTaVYmU3InyiZq2QRE1t7MT1bkcBqqqhjgpbjtfH5pTReu4Y3AFTsyd\nd7Sc25Zic+1C4EQqdaGk2HT8kmDSRBQXgzvuQra1PnzHJO0HIqcX83ksHBRRpwdveJDG7RtjTB2t\nXSlFkQkro5IwITUyjBf3yaXsE8tv1tbioylTUJ3LYf6VK6UejmEAABq7uzHlxg1cq63FxUmTSj0c\nwzAMowSUfIkDrU6y/8SMGZh99SqWtLfjZFPTrTp0CoybvuKcGZrLROvEjFObltO2OeeLHn8s0tQd\n99Bhrq37XnKlQqbzuKm40Kk8bhrQF5s7rhAHLNbBct8v7egAALTOmIGs8+srxnGKTawvdAow9jtV\nDg6XYYwU5kYVl7G2EnkoJX8AMRU1nBA41tyMe48fx7L2dry4ciVbx20rXTRD8p8kkeW+0vKQbWkK\nL5MZvk5U7CNlJEEmJZXHjDdGRCVjp2V029d36PHGHEcyNl9/IRf+TCaDZe3tAIATzc3BcQoRbTHt\nQiiVsDKMcsPEVOGMVwEFlOmz86gYOjprFgDg9vZ20XHi4kuOk+Y2ca4UJ6y0bV/SOCdkQhbglI7V\n57zRNlIs+p4TQpyIcs+BVOaeF22bE2/SmLjtkDvvJKESI75uP38eAHBk5kyxbbEeb1MMYTXagsxE\nllFJ2PP24on5OzeWqYijP93YiO7aWszs6sL0a9dKPRxjnFPf14dFFy9iIJO5JfANwzCM8UfJc6JC\nHKVMdTUOz5qFjadP445z5/DK0qVD4gyrT9wlLq50J1wyJmlhTW2qTNumd/WF3OXnW9zT94gX7q5D\nbaxuueYE0TLX/YlxmbhxSA6Qtu2Lpzlrvlhc3BUffYSqfB5Hm5txo6YGVYFTgKF1QqYduToh7s9o\nPFNQ6s8wyhmb1otjPN6Jx1EWOVEhYmj/3LnYePo01rS14dVly4ZM2QE/FCPcVJk2Zaf1SZGm3Lj9\n7rY0LtqGE1a0jBufJEq545KQhIgmnpLxcaLKN8UTmmyuCR9NtEnTfNy+0HOQsPbsWQDAgblzo6cP\npfLYab2YujGf/WhNARpGOWJCyg/9OzzeKfk6UQk+MbRv/nzgrbew5uxZZHM55AWx4364XNJ6Uk7d\nHs1h0oQLt82JJKk/t0xqA3ys+vP5PLsgZ9o1snzHogmYZJycoyOVaXW4+JIrpQkiLq70XhMMnAMD\nABkA69raAAAfzpsHjhDHLUZ8xdYZSfGTVuzZH12jkjAxJWMO1FAqYjoPADqmTcO5qVMxp7MTyy9c\nwMHBXBTJxdK2NeHhjo2b8kuz8jh9H1NHclSkacCYxTWlY3ffS8JJGnOIqOLq0Pecw8S5Y9KYNBEn\n9S39wnL7m9vZiZldXeiqq8Px5mZkBTEWsmq61k9MnWI7XcX6rhhGJWNC6oeY+yRTUQkLuxcsAADc\ndepUiUdijFeS796eBQuQt3wfwzCMcc2oO1ExC2TSqaj3Fy3CE/v24a6TJ/G1zZsxwMSlLkyIW5OU\n+9pRfFNAmjtFHaVkus4tc8+LNr0X48ZxhBwr5whp+0KTzWkd31SYNJUX0j5k+k6Kl7C5tRUAsHvx\n4uBk65DpvRAHS6qj1Q2pU07ThYZRTpgb9TE2hSdT8pwoTdTQBOnjM2agY9IkzLh2DbefP4/Dzu3l\nae7ES9pJi2vS9abcMYXkMbmxpGk4LUcqZHrPFV9cfHq8MfimuripOrfc7VtLJJfEQUguVcxUXppp\nQJe5V69i4eXL6K6txX4nH0oSGCGiLY34SlunWIuNxvZvGJXMeBZSNo3np2zuzuPEiStmMpkMslVV\neHvJEjyxdy+2njgxRERxf8x9q5fT+lyfCWkSwgsRSFpyOcCLJVonIeSPgOSASK5Tso8THZKQCRE7\nWp3QMu68+P4QhDhY9x47BgB477bbMFBdjYynndQ3l1QeKr5C6sQIm5C+YpdTiBFthlEpjEcxZQ6U\nn4pL6ti1bBkAYMuJE6jt7y/xaIzxQiaXw7bjxwEAbwyuU2YYhmGMb0ry2Be6zeU/cdN5AHCusRHH\nZ8zAko4ObD51Cq8vWXKrXei0HB2Hb8qPjouWueXSWlKSgyW108YLyDlR3HHH/prgXIPYnCh3Hy2v\nqqqKnqaj27RMmhp043KvoY7O2o8+QtP162ifNAlH585l63HnIyS2FCvWYSrUwdLKC51SNIyxwHhx\no2yR3HBKMp3HCRZXpHBrN7l/oF9ZvhxLOjqwvaXllojiLg6hD+TVLmRuHU6khSz2GZJYLpUlAkgS\nTFxOlHQcMYQIAWmBS2mxzeRYNKHjSz7npvt8wsMn/EKObfvhwwA+/u7lMxlkBWHGjSNUDElrR1Ex\n6YsV0t9ITSVqdQ1jLDDWhZQJqDhK/gBiyYmibdx97yxbhp985x0sv3ABt12+jFPTp3tzqpLtNEnk\nIb/M3XahAom208rcGDSOewxcTlQsIcIp2RfiPPmcJp/4on1xY9BcK02AhWw3dXdj45kz6M9k8Nrt\nt3tFjk8kcfuk8hghEyO+tDjFqmMCyhjL9I+xdJJsNmsCKgUlOWOae+Duky5sN2tq8PpgbtQnDh5k\n67px3YsoV0a3OffDvYBr+31xQsqy2SyqqqqGXXRdMUL30/bJPzpG6Z/UJsHd575398UKKHpe05Rx\nn4H0+br9c3Wkz/fhgweRzefx3qJF6Jo0SWxLPwvuvbutjZGrp8WOEV+0jXTukvPhqyPFCRmPYVQy\n+Xy+4v8ZhVGxsvMHd9yBHIB7jx/H1O7uUg/HGKPU9/XhwZYWAMBzq1eXeDSGYRhGOVHS6Txt6s03\nLXdx2jS8f9tt2HTyJB49eBD/dNddQ3KXAH4ZAC0B3a3DlVPHotDlC9yY0lSdVJ7gW9IgjQMgTTvR\nWFpekS/fKcatksqkfmNcFd/r9pYWTOztRcusWTje3IwqxZGRYkvjks6lVE+aKtQcLK6c2+crj40j\n5XcZxlhjYGDAX6lM4W7YMeIo6bPz3G0pCdzd77bL5/P4l7VrsenkSew4fBjfW7MG12pr2bZuG9+0\nB5dEzvUPDBdDXDuuXlIG8KuTu8LLPR8hOVHA0LvxYuzakCmh0JwoGkPKgaJxYhLJQ9pxY+Ric8dW\nm8vh0f37AQDfX7s26A5FaT/t332l5dI2Vx7yPrTPYtXxjd8wxhqVOC1m/z+LQ8kTyzmnxucoJftP\nzpqFfXPnYs3Zs3jswAF8Y+PGIWJHSyKX7qrj3BRpYUupTkxiubRUAXcHoztOuvAmHTs9ZvfcSfu0\n43PbxAqItInl3PkoRCBpgoyLt72lBY09PTg5fTr2zp8/zIVyx063fbFj2kn1pHFIn09IrND+0tYx\njLFMpbhS5kAVj5I7UZwDRZ2VZD9X91sbNmDN2bN45MABPLtqFa7W1Xn7oxdnTSRxMULrxN55xwkm\nbTovqeMug+DC3YqrHYd0+7x2fG65JHq4fZKo4oRVsk2Fjya+aB2pTBpvXX8/PrV3LwDgOxs3Iuu4\ne5ogTHueuHbcOaD1uOPiSCOgfOJLiqOVG8ZYp5xdKfv/WHwqNrE84disWdgzfz7q+/vx5OBFzzAK\nZefBg5h64wZOzJiBD267rdTDMQzDMMqQkq5YLuUfufsA/5TfU5s2Ye2ZM3jo8GE8t3IlLkyefKsO\n5/D4xuX2IfVPqaqqwsDAgNeNcl0mwL+wpns+qCtFx+3GdeO5x+I7Zt8+zjmJcaCSMsmFkhweyXHh\nXC0uDh2T5HQBwOSeHjyxbx8A4H/edRcySkK6dC58Lp5UX/uOhsbnzoev3Nef1ibUwTKM8UI5Lsjp\n+9tipKMsHkAs7UvwTfmdaWrCG8uW4b6jR/FT77+PP3rwwSH1Y+7W4/pIYviEFFdHE01a3DQ5UfS8\nuaT9z+MTTbQu9x9VK0/iacIqpI40thCRReP/+J49aOjrw95589Ayfz4yTB0an4stCUq6320b80r7\nk84vty9UjPneS/hEpGGMdcpNSNnDhEeGsnCiuP00H8ondL65aRM2tbZi08mTWH3uHA44zzfjkqmp\nMOPulqNwY6D7qWCSYrjt3eTyJHYSJyYnih6r206DXszd+Nx72o6rpyWbxzhDnIjy5UlxIkMTd27d\n2y5dwoMtLRjIZPBPW7ZECTDpXGn7NYGkncdQ8aPtk+ppuXEhYixWcBnGWKYcxJT0N94onDFzZq9M\nnIjvrl8PAPjZt95CdYXcJWGUD5l8Hj+3axeyAJ5ftQpnp00r9ZAMwzCMMqbk03nA8CUH3H0JvnWj\nAODZ1aux7ehRzOnsxCf37cO31q8Xc6ukX8i+abuQZQ98sSRHi3Od3HPEPWyYcwaoGxVr42rHFTK9\nJy0KqU3fce0kh4mrI02VSXW46cLtLS1Y2tGByw0N+ObGjanuPnT71xwsbb9vKixNO8kN0/4vSLGl\nWDEOlmGMJ0rlRpkDNfKUxRIHvotG6ErkuZoa/M3WrfjNf/kXfGrvXrxz221omzp1SL1iLWkQGkeq\nF5pErk0fcqIqZOyh+HJ2uPqhgkMSFJqI4upygixkTSg6jqbubvzke+8BAP5+yxb01tezYkEaJz1H\n3PnS+vedF6l/rt+krTYmLYZPjGn9+mIZxnhlNNeQcq+Xxsgy6iJKWwDT3Z/J+Fcxd8uS7aNz5+Ll\n5cvxYEsLPv/66/jdxx/HABFtbn2Km2geKpC0eFw999iS/QCfRK7lRCV16Urlha5Twh0LV6blRLl1\nfM6FJIY4UaG5VVx/PpGVyWSAfB6/sGsXJvT14f2FC/HuokXICm3dcYfEl45DElixQitUWEmfATc2\nLkYaYWUCyjCGM9KuFPc3yxg5SppY7goh+odcWtLA3U/jJfX+afNmrGlrw5KODnxq3z58e926ITG0\n9iF9uIRO73HOk9unJJjccxTqPNHzFkLIf7oQ0ZTU0y7gtA4nokKElvteS0jnxu/W2dHSgnVtbbhW\nW4v/b9s2ZKuqxP5i7/aTzpPUJmQ7RGyGCCbpMw8RdjHvtb4MYzwyEkLKfryUhjHp9/XU1uL/ve8+\nAMCnP/gAS9rbSzwio1yZ09mJf/3uuwCAv7v3XnQ2NJR4RIZhGEalUBIRlUzLJHC/+t1yqQ4tS/5l\ns1kcnj8fz6xejap8Hv/rK6+gobd3WB3J5Yip49aV6tH1jKRjd6erpHPk1qmqqrq17f5z8Y2bc0Tc\nz81cyRQAACAASURBVCj5V8W4M5y7ROu5rogvFo1Lz1sh9bg6tbkcfuXll1HX349dS5bgvWXL1O+Y\n7/vqjoVrS6cjpfjS9y7Zpp+vVB7aLm09OmZfG8Mwfkgulyvav3J+1MxYp6TTedx2yJSblLdEpwWf\n2rwZK8+dw22XLuFzb7yBP37wQYC56PkWqywkiTyT4RcU1ab33HZ0io+Okx6/G9st8yEdm3bM0vQe\nJyzomCVh4raRxExoPW5sbp2ffvttLLx8GecnT8bf3XuvKhLcvrhY9Di4fn11uNjSqy9+mna+Ow65\ndiHvuW3DMIozrWc/VErLqDtR3K/XkIsQ98/nugxUV+NPd+xAd00NNp08iccPHBDjSH3QvkLquY5D\nSH+aM+dznrTjp+PR/kljdT8r10lK3CS3Lec6uc6a73y47bRz7I7J93lI9e47ehQ7WlrQV1WFP92+\nHb319eI59H033XFzMegYpDru/wm3DretfUbuuOg4aTuf2NHaceeBe09jGoYxFHOgKpeSL3EguTz0\nNv9MZvjdelJMl45p0/CV++/HF154AT/x3ns4NX069s+ZEzQ2ii/ZPBmj9sw99zhoWUjyeVLGPf6F\nEvsrh4qypF9pmzsHmpuhXVx9bhUVJLSO1A+XCL7k4kX8/JtvAgC+du+9ODNzZlB/3LjcPrTj9Z2T\n0PPkE1Yhr3Q8PgfKJ7RCHEkTUoahE/P3Wvq/aYw+YzKxnLL7ttvwnfXrkc3n8asvvYTZnZ2lHpJR\nIhq7u/GFF15AzcAAXlyxAq+uWFHqIRmGYRgVSslzojh3Kebhv9oSA25+1bfvugvzLl/GnadO4X9/\n/nn87hNPoGtwCscXJ6Q/zmHyjV1r51udXHLm3DaFPnDS50AkxExBcXHodJvWtpClESb09+OLL7yA\nxu5uHJ41C/8wmAcljTukP1qf26ct+eBz46RXyQ2SjsX3GdDj8LULdZ3sl7JhhBPqRtnDhMuHkuRE\n0T/OvtwerTx578tZQjaLr2zfjtamJszq6sIXn38edf39w+rF5j6F1HNzmdxj5vKJ3PduGc2HksYY\nkufkOyapPaDftUePQTo+GkcaC9e37xiketX5PH715Zex6NIlnJ88GX/yiU8gV10dHSc57wkhd9tp\n31saxydOaPvY7ZhYbl1pTJJ402IYhiHjy4MyyouSJpb7Ljhume8WalqH299bW4s/2rkTHZMmYWlH\nB37tpZdQPejw0CRorj0nUjRRw12EuSRyGssnFDIZf5K5NH6fAHHRBJM0bjp+X7J5sZLItXpZAJ9/\n/XWsa2tDV10dvrRzJ7onTPDG0/ZpQpPW4WLR/wtaHU2cJP1wdd24tA/altvn61drJ+0zDCMME1CV\nwbjIiXLpbGjAH+zcia66Oqxra8MvvfoqMvblHLvk8/jsW2/h3uPHcaO6Gl965BFcmDKl1KMyDMMw\nxgAlvzsPkO/Ek35xazlG7h10EhcaG/EHO3fi/3j6aWxpbUVfVRX+autW5Aedg6TvJL/IHZN0J5yb\n+5SMjaubxHEdAG2dKDeWOya3TgKdJ097+yt3bjWngb7XnBLplWvru+uNOkNuWSaTAfJ5/Jv33sPD\nhw+jr6oKf/jww2htbmanCiWHxufGaC5UyPFKdyWGni/fuLRt6X3sdmgcwzDiSK5l3EyDUR6URWI5\nvXiFLGwp7eceUsxxeuZM/I9HH8UXn34a244dQyafx1fuu2/Iw4pjx+SKPNo/FVbuttTOFUmcsOS2\nXbjxhp4fab92YdSmieirTwTQHCFuqkoSLJlMBhkAP/3uu9h58CD6s1l8eccOtMyfP+zBwpz4of35\nBJIkfEKO1yeeQs6T1l6Lx+VzuWj7fNOAUjvDMIyxRElFFOc2cfXc+oAuajKZTJBjBQDHZs/G/3j0\nUfxvzzyDrcePoyaXw5/ffz/6GdUfIqQSoUP7d8WQW49uu+tEceMPieO2l8boI1Y8ufhcp+S9Jpxo\nPamNJCCy+Tx+/q23sL2lBX3ZLP5kxw7su+22YSJIExWcKKFtuXFK50ATbNLxaWXStq9OTF1pm7ZP\n084wDD/mQJU/JZ3Ok4SSJFjohcr32JcQ4XN0zhz8wWOP4YvPPIPNra2Y0NuLP96xAzeqh58ad6qQ\nHgM31ZcsU+COQRJCtDzpz8V3TrTFSNMKK9/FT3OckvdSOY3hc1Oo+OBERk0uh//ltddwd2srequq\n8OWHHsL+hQuDBFlMHek7rImsUDEWcv5CBZi07ZtulM49bcudA6mdYRjhmICqDOxTAnB81iz8l8cf\nx9X6eqw5exa/+fTTmNrTU+phGZFM6O3Fv/vBD3B3ayu6a2rwBzt34sP580s9LMMwDGOMMupOFOfm\nAMNdFFpPSjR363C/eqX+KGeam/F7n/oUvvjMM1h08SL+w/e+hy89/DDaGhuHxQP0qULXnXLbuO1o\nHdqec6e4R7z4Hp4csi8UbgkJGju0zI0nOVBcDCkfqfnaNXzx+ecx78oVXJkwAV965BGcbmoatvQC\njS25Wpq7w9XTcqm44wk57mLu485/jHuluU1SW66+YRg65kBVFiWZzkvQ/ugC4XfjFaMOALRPm4b/\n9OST+PXnnsPS9nb8X//yL/jzBx7AB46b4V40kqk6rpweJxVUVPxJd+JRsUW3tWfnJfjuVtT+0/ou\nhqECivYniRNaRsfICZiV58/j1158EZNv3kTbtGn4w507cWnKFFSR2HR8vgRxTWj5hIkUi+uXOy6u\nHR1PTDvuWHx1fWPX+ufaGoYhk8lkbCXyCqQkieUhyxlw7TRCljYIyZG61tCA//rEE/iFV17B3SdO\n4N8+/zy+vX49vrV+PfKDyx/QmO6xcOPmcqC0JQ7cc0LvzuPium2lR8jEIh1LyDYtpxfu5L1PSNG2\nwy7SAHYePIifeucdVOXz+HDePPzFQw/hRl0dK444MaCJKLeeNk5fHU2MaXFDxh16LiWxN+R8el59\n/WmxDcOQsR8clUtJ787ziZqQu/Fo3VCxpdXrr6nBX+7YgdPTp+PH3nsPP7pnD5Z2dOAv778fV+vq\n2Da+JPKkjNt22ybQi5C0TpQbkzv+0LWiYkSsT0wB/iUOtFe3vSRy6nt78bldu7CltRUA8PTatfjG\npk2As6o61y6JzQmdWKHlq+MTITFCimvPnR+tjuYihWxLxyK95z5PwzB+iP3YqHzsL5tEJoPvr1uH\nLw2ubr62rQ2/861vYdW5c6Ue2bhncXs7/uN3voMtra24UV2NL+/Yga9v2YK8XagNwzCMUaTki21K\nZbTclyCeyWSiFsUMSTavqqrCoYUL8R8/8xl8/sUXseL8efz7Z5/F06tX4xsbN6LX+WXvSyLX1ndy\n+3Njac6UW48ro+3SEPNZAfK0HVcmORjc9F2yXZXP48m9e/Hknj2ozudxcvp0/Nn27WhvbBTdIve9\nL7cp1K2SYtHj5eL5+tccrJhcKu3ca+Pk3Cf3eEPa2K9qw/Aj/V8zKouSL7YpCZ/Yx764F7cQgeSL\n5a77dGXSJPy3J57AE7t348k9e/DY/v1Yd+YMvrJtG441N7NtpT4kQeWWJ+/T3I3HncdQQv9DS3fp\nue9Dy9yY3IU5KZt/+TJ+8fXXsfjiRQDAM6tX46nNmzFQXY0MhosCbSpLEyzFWLFcE2TS8UmiSGvj\nKws5v7RvbSyhdaVtwzA+xgTU2KEkIsq3nIH7ysEJLzdG6N14XCwqchLyVVX47l13Yf+CBfjcK69g\nbmcn/s/vfx/Pr1qFf964ET01NaJA8i1x4AoprQwY7la5cIn1hfxH5fJYJPHqe6+5G9qFuHZgAE/u\n3YvHP/wQ1fk8OiZOxFcfeACH5s5lhQ4XJyRvya0n1dGEDrcvxq3SBEvo8gmakAs5T5LwCXWhuP+7\nlgtlGEMxATW2KOkSB5XIiZkz8R9/9Efxqfffx2P79uGRgwexqbUV/7BpE95avLjUwxtTrD9zBj/z\n9tuY2dUFAHhh5Up8fdMm9ArJ/YZhGIYxmpTEidJciZCpuKQ+tzSAr440Hul5dbRuPp9Hf00Nntqy\nBW8vXoyf27ULS9vb8SuvvoqHDx/G1zZvxommJnXcvuN0XaiQu/sS6FIGMVN50li0fZJr6JvG8U0t\nzb1yBf/63Xexrq0NAHBm2jT87datOD5nzrB+JZeH9uVzamLdqhAnih6fz3Xi2oYsnyC5TG4MX7/c\nZyGVxWxLn4thjDfs/8LYpKTPzuMIWe+Jq5vJZNi23Krmbr4Tt+6Tlifl0tbcjN978knc19KCz7z7\nLpZfuIDf/t738NaiRXjqzjvx0eTJw9om77V1otx6PvHktitmUrnUXhNMUpvQdaKaurvx6Q8+wH1H\njyKbz6O7pgbf2rgRL6xahXx1dfA0VajwoGOLEVqaiKJjCBE+XBkn2Oj4tbJQ8aQJHm7KVXrlBKD7\nGRjGeMamtscmZXF3nkvoek8JNP8p6yyImYglV3gUM08qKX9t5Uq8u3gxHt+9G48cPIi7W1ux6eRJ\nvL5sGb67bh0uTJqkiiGaQM65VHQMNB6tT/fFIJ2fEMEEhD2U2H1t7O7GE/v2Yfvhw6jJ5TCQyeCF\nlSvx7TvvxPWGho/rQs8tcvuWBFMaoeMej0/8SGPgxhEiBqV29Fi08xHTX+xx+PrnjscwxiMmoMYu\nZSeiEiEUInZcYpc38NVzhU2IM3Wjrg5P3XMPXlq9Gk++/z62Hj2KB44cwbajR/H24sX4/po1ODN9\n+rC2yXu3TLorjxuzW1ZsJyo0hk80Jdv04jursxOP7d+PbUePomZQOL6zeDG+eddduDBtGhuPu2i7\nYwgROUl9rZ5PaElCIdStkkQMPRbu2EPEV8yjdbgxhLSTtrVjMIzxhgmosY0llheZS5Mm4a/vuw/f\nW7cOn9y7F/cePYp7jx/HvcePY/+cOXhu1SrsmTcP+fF6Ucnncce5c3jk0CGsP30aWQA5AO8sWoRv\nr1+PczNmAPjYeTIMwzCMcqYsnSggfL0nl2IttkldJjduUl97yHBVVRUuNjbibx54AN/esAE79+3D\n/UeOYPW5c1h97hw6Jk7EK8uX4/Vly3CxoWGIG5XEpmPwrRklHUsx0daHotv0/ZSeHmw7fhwPtLRg\nztWrAIC+qiq8unQpnlmzBhcGF8zMOG1800bJmDR3xX0fkiOkTWclLqnkWNE4MU6U5nxxxxbqMnHH\n6CvTlp7QXn1ulWGMFzIZe5jweKFsRBSXCxWz3pPbJs1im66AkVYTd59vRy8i0oOCr0ydin/cuhXf\nuesu3NfSgu0HD2JmVxd+bPdu/Oju3Tg4Zw52LVmC9xcuRHdt7ZAYNBYnrNy+RwJJZIZs1/b1YeOZ\nM7j3+HGsbWtD1eA4LzU04OUVK/DKqlXomjDhlngKnWri1i3yXeRD14BK4KbluLKY2KF1YsUXNx4t\nplbm4mvHbdP+TTwZ4w373o8vykZE+QRPrJACwhfbTOpK43DFC72rTqrnbmcyGfTU1+O5devw3Jo1\nWNXWhvsPH8aGU6duuVN9u3Zh/9y5eH/hQuyZPx9XGxrUu/OkMre8EEI/J7o9+eZNrG1rw52nTmHt\nmTOoGxgAAAxkMvhg4UK8tnw59i5YgPygAEzEE3chly7QIcKDa6OJES52qGCJFTq+/rX+NPGnPTIn\npIyeg9hY3LYk0AxjLGL5T+MPy4kaZfKZDA7Mn499c+di4s2buKu1FXcfP44V589jw5kz2HDmDACg\ntakJ++bMwcE5c3CkuRk3q8vzo6oZGMCS9nas+ugjrDl7Fks6OpB1RNzR5ma8vWQJ3lq8GNcnTrxV\nbpdUwzAMo9KpCCcKKH6OlOvwuOs20aUNkjpcO2lMXDt3X7KswY2GBry2ahVeW7UKk65dw8bTp7Hh\n1CmsOncOiy5exKKLF/GpffvQn8ngVFMTjjU34/iMGWidPh3np0xBbnDMMXflxS4h4cbM5POY2dWF\n2y5exOKODizt6MDijo5bd9YBQH82i4Nz5mD3ggXYvXAhOqdM+WF7Mj7unEnORezDd31TfoU4Sm78\nEJcpxM3Rji/UeYt1vnyukq8d/Zx8j4cxjLGKOa7jl4oRUUDxcqQSIaPVl4QXbefmJYUumunGSd5f\nnzwZr65ahVdXrUJNfz+WnTuHO86exapz57Dw0iUs6ejAko6OW3F7q6pwbupUnJs6FeenTEH75Mno\nmDgRlxoacGXCBPTW1LDH5ztvNf39mNrTg+k9PZhx7Rqau7ow6+pVzOnsxNzOTtT19w+pnwNwurER\nh2bPxoG5c9Eybx5uDj5HEMAw4eS+DxFObps0U1I+ERIrhqT4ISIqpv80Y4o5V5oI8om2NPsMY6xi\nU3jjm4oSUQlpc6QA/iG9FC6JnBNQtExLPtfylKjQ6q+pwaGFC3FwwQIAQF1vL5a0t2PxhQtY1NGB\nhZcuYca1a7jt0iXcdukSG/NmdTWu19aiu7YWN2pq0FdVhb6qKuQzGeQBZPN51AwMoGZgAHX9/ZjQ\n24tJN2+inogkyqWGBpxqasLJpiacmDkTx2fORPfgs+xc4aSJJu19yMNuubZSO1+bGDHktilURGn9\nh4iv2DFJ58U9dyH9pTn/dLyGMVawHwpG2Tz2JfaLGCqkXAHjTsHRdsm2e3ee9mgWKozcbXrXHLf6\nudufNOakTl99PQ7Nn49D8+ffqlN/8ybmXL6M2Z2dmHX1KmZ0dWH69etovH4dU3t6UNffj7r+fkzv\n7lbPD6Uvm8XVCRNwuaEBlydNQsfkybgwZQo+mjoVZ6dNQ/eECcPaZAVB5G5LoulWjAIfL+KrLzku\nIWKI9lOoiKKxpHa+MUpjktpJ51ETSCFloSubG8ZYwhwoA7DE8oqlp7YWx2fNwvFZs4aU53I5IJ9H\nXX8/Jt28iQm9vajv60PtwACqcrmPk77zeeQyGQxUVaG3qgo3a2rQXVOD63V1uFFTAzDuQoJdCg3D\nMAzjY0ZdRPmSsYsZS1rzSXooMcWNE+JgJdvcQ40TJEdLc7akbbffhMQF66+uxpX6elxh6nAk8aTl\n4ULcQ+nz1Jwnd7/PyQh1oKR2MYttau2K4USlaeeLwx2T1o77HGLcKJcQZ8swxhLmRBlAiXKiuARx\nul5TKNyimSGiQRM2yTg5gRLzPD1OIHEPG6YXH0mQuf1p60ZR0l7IpHaaeNLaccIpeR8ipLgYIRf9\npJ0mWKRxpM1bkgSZGzOkHX0NET8hQouOQzsH0ufDnR8thmGMBUw8GS4lTSzn3J2YP7auyEjeF5In\nlezjBBQtk5LI3feugKICicYB+AU/JZEkjZESuvBmyHnn6oQIJlovRDBJ4inUKXHbSRd5TXi4bYsh\norhjSBPbd0yhY9Li+8RQyPn3fZ6GUYmYgDIoJb87jwqpbDZ7axrOdaWo8AmdquP6l9olaEnkVAxp\nSxxIfdHyZJt7jAs9BzSOizYlmYbQtqHP1JMuqprL4dYJudjTtr6LvCR0uLZpRVQSNzROsYUdF0tL\nrpeOP/Q8SWWGUYkk32F7Fp7BYbLaMAzDMAwjBSV3ogDZPUp+7Uquk4S0KKfkDLn9+pLItXHQKb6k\nDXWypGfice+1hwxzz+4bSdi79TzumOZCSd8Ft57mpmhODa0T4pSELtIZ6kTRuK6Lk8bl0tpJ46Tn\nOU1yve88+eLRMRhGJWHfXUOjLEQUkG41ch8hyeqJYIlNInfb0vfaOlFaO1dYUcFGRRfXz0ggHbev\nbqhoAoavEcW1kaac3Pbufk0waeLLJ2poey12mkfDaOMMEVpaf9riojFl2rnQygyjkshkMjaFZ3gp\nGxGVELsaua+vmOfi0XYJrsPktg91lLQ78rj+aGwaXytzSSuutHMvXUylMp9wcutwF3D3vSSepAu/\nFJuKHHd/qNDR2iWxORETErvY4+TOaUw7t71vdXStzDAqCfvOGiFYTpRhGIZhGEYKys6JAgpzo1xX\nh1v00heXOklunNC1pTSXi8bxxZK2ufFxx1IohbpSCSGLa3JlkvtE92uvUhxf+xjXR4sde0cd5/zE\nttPihLajx8DF9cWxX/NGJZF8X20azwilLEUU4F+qQIrtm8LSHhIM6CuPu2U030oaIyesaGxuuo+L\n6W5Li3DSfWmIEU4c0pIH0vSOb78b0ycWtO1CF6iUyrjxSe1C6yQx04gvLU7IsWgCMUQwScLKMMod\n+74asZStiALCks1dcRJy553kKtH6vsU2k+2QdaLctpyoovGlhHFtzSjueEeamLv1YkUTjc9d7N1y\nTUglsTSRUIg4KPaq5lpCujbuGGGnjcvdrx2fNib6OdkihUY5k8lYErmRjrIWUQnSyuYhSx9wgsgd\nB7diuRaDih+X0Ee6cKKKi03H7v4n14479tE5HNJFTzo/Idu+em6/mmDi4kp9xN6OH1PHjV8MEcWN\nNya2JGJ8dWKOT2ojxeTuvDSMcsNEvpEW++YYhmEYhmGkoCKcKECfftP6ClnCAOAf3+JzhjhHyS3j\n1qnyOVNc3ATfulH0WIqJ9LmldaFcYteJcuv4po44dyWkTKtDx1wMJyqJmcbBkmJxxxYzTmkM9FU7\nT26ZYZQj5kIZhVARIioRFa44Cc2TkmJpZVzSuCR0QvqSEsfdsVKxxMWVxu5SrIU3tc8pRFAVKpq4\n9746Sey0oom+cu3cPqQ4MSKKG3chsblzoLXjjtmNw9WVziONR+8INIxywsSTUQzKVkS5gkF70DD9\ng+5LMPcJKLeMW9LAFTchwooro6Iqie/Goe+lhTV9oqqYcLF9/XFLG0jvQ8q4/qTb92kcX5lPeIUI\ntBgR5Z6fWPEVGitknPScFzom7lyZmDLKhUzGksiN4lF2IsonhFxCl0GgQkQqc/undXxLGrhiSZvi\n40QVMDwp3e1LOz6fqCqE2AufJJjotrRPE0w+8aS9xpTFigouXojw4MafVkRpsUJic+In9jzRMqm9\nYZQa+y4axcT8TMMwDMMwjBSMuhMFDHccXOcpxklxf+ly6zS58UPK3P5pnWRbW7Vc68uNL7ldnDuV\nwJ0XLsF+JH9lhawLxZVJbgTn+mjuk5RLFbKdpoxbbkFydLg4mntTrKURfLFCYkvnL+Q8cZ+b5hAa\nRinIZGwKzxgZRl1EudNWhaxnxAkWmicVI6C0BG5J9HDHQoWdNG5NtHHtuTL6R6GYU3lun6H7NUEV\nK6ASpAU3abtiCSm33zQCiRuTJnrSiqjQWL4xFUvYuZ+V79waxmhCv4uGUUxKmhOV9hl5nBBKoMKG\n/iGPEVCa0PH167b39RHTn3s8oUnlIeIq9DPQhFLsdoho0tpojohPQNAy2j8nIGh5yLbbX2jCthY7\niTFSCenc+ZHOge+8cvsMYzQxAWWMNJYTZRiGYRiGkYKS350X6ka5rkzoEgZabM71odshU3xuu6SM\nPvtOytWi7bi+Ypwn7bykRWsb60pJsTT3KcaN8m37HKhQ14mLpTlR0hIMaZwoGi/GieLOYZq7+qQ4\n2vEZRimw758x0pRcRAHyUgWu0PBNSVEhksBN74UKJG5bEj+uqKJlxVxs063DnQNKbKJ+mjqhZQk0\nQV0SR1yZVCdWWNFxaGJBE0iaYPGtas71w9VzxzkaCencsYWIRN95MYzRIJOxJHJj9CgLEQUMXSWc\nEzpSLM2dojFoH1wdbqxS/lIagZJ2sU13HFq51G9atPYhsWPXjpKOXbvQx7y649LEVozQ4V6L9SBh\nSaykFVGhsQodk3QODWOksZXIjdGkbERUQiIwfFN8MeKHtglZpoDGl/pz+3Lb0jIuvjtGTlgl46N9\nSWOgxN6tV+iFLlQw0W1NQIWU+bbp+HxCyd3HxdZERdJPWnHCjakYCenJv5iEdC1WyDkxEWWMNiag\njNHGvnGGYRiGYRgpKAsnynVrklftkS6aK8TlT1HXx20fktju1pdcJs7BCnG1aLwEuuCm5ipJ620V\n89e/9AtP+jxDtkOdp5A2Urtk7JJbFeOw0HK3vc/lSuNE0bEX6kS5xDpY0vH6+jMnyhgt7DtmlIKS\niyhJEAF8nhQQlv8klXP1pLWlNPHlCqSkTmiZL7a07TKSi276/hhJ+zUho23HvJcEEyecfO1CxJFP\nHCR9+QRErPBx4xZDREnjDGnnE3bSedK+D4ZRDDKZDKqrS/LgDcMAUCIR5QqIkAu+myeVxHDjJbG4\nvnwCipZpq5BLd81pxyq5U1z/ktDi+vMdd7EJEU5SmbQdIqy0Mq7vUNeJ7uPq+uq7/WniRIot9ee7\nq280BFmx4miflWEUAvf/0TBGm1EXUdlsNtgpoUIh9A4+SYxwzo5WR0tAT9r4pu64/qg44oSVb7y0\n3KVQJ0qK69vnE1SaM6GJJml/giacuLY+YeXW4eL4hJokIELqlONdfUkMXx0ttmEUE/tuGeWCJZYb\nhmEYhmGkoOQ5UVIdbaqPW+9Jasc5Q5zz41uGwO3TPQ7qMIUucSD1lbRzY0tlbjk9vpEg1IGKcaTc\n7RjnSaonxeK2Q8to35rrE+LwSGXlujQCPa+FjMkwCsGWMDDKjbITUZzooW0ToaTdwSfFihE1XDn3\nSBe3f7edL1boNj12rjyhGFN5XNzQOpqgSrsvQXtQrttOEmMxoomKGylWiEDSxInbR2g7X5kbL6ad\nJsZCxsQdv4kno1jY98koR8pCRLmiQRNQ3D5X1Pju4qMCx60jtXHbcQKJ/jLSFu9M0O7Wk/a78dx6\n3FhHCil2rJii21JczXFK3kvlWh1JDNG2oYtzauVaHe2Zer5tTcRojlbsYpsxY/TFMYy0mIAyyhX7\ny2YYhmEYhpGCkiywwTk1vvohSxiE5C1x7aRtzZ2ix0LvIEwIuauP9sHt58ZB4xZrKk+KH7I/jSuV\nEOI8+cp8jhXd5uonY5Ha+eJp7aT4oS6XVOaev1i3iItFxxgzJvcYqJtnGDFI/z8No1woyRIHCdJK\n2wmaiOGEVVImJZ5z7TQB5RNWVOxw7egz8UJXYZfElUvIcgfFJq1wolCxqQkk336fYJLKJeFE44eP\nugAACjdJREFU62hlmvCRjiVmyQFfbFes+IROSJ5UEkurEzpublFOw4jBpoGNcqek60RJj1xJBEVM\nfhRXFrNIZ4hgk0RT0o4ro2PjHjTsS45PqAQnikMSTHRbEh20Tqi4ovW5utzjS6T+pDJJZPn6CREj\nPhGXxPYJndBFQX1CSzr+0HNnGKGYgDIqgZInllMhxYkh2jZ2YUou+ZzGDXWduDLahhNPtF0Cd8df\nAnXqChE1o5GEzv3RCxFG2r4QwRRbxx2rJLBiBZXWn29qkG5rYih5H/LsurRJ5GnGFBLLMEIxAWVU\nCvZNNQzDMAzDSEHJnSgg/PEqIVN4kquUoE3xufU1R8yH5Fb5xic5aG4Zhy+3zI0di+8XIRdXc5x8\n2773aZ0pQJ6607Zjy7j+NEcp1vVJ4hbqFnGuViHuGOdCSZ+RYWiYC2VUEiUXUVQgudN7VFRw7bQy\nbVub4pPaUcGjTe9J7ULHSY+bnjcqDDVCxGDoRU6r5xNUacRUIWUJ2tRdMYWU259PaGlxQwRKMUQU\nHWshIoqeZ6k/w+DIZDLev2OGUY6UVERxQgiQlyrQ2lGBA4Qv3Okme7t9cgJJEk0+weQeQ8him1KZ\nG1faxx1vWnxtfcJJKpO2JTEUKqASQl2nkNeQMrdfn9DSRIYkUKTYaUUUjRfaLo0Y486TYSTQ74ph\nVBLmmxqGYRiGYaSgJE5UqFNE13vi2nGOjuTahEytSa4Uras5U74x+Vyz0DK6jyMmryv016BWz+c4\nuWVa3Viniluok7aTnCHfts+BCpm+4+JIrhPn8vjahTpKdMyFOlE0ltbOMCjmQhmVTknXieLgRJC2\nErkmiKQyN4a0BAFdekBby8nthxNavv5o3NAyt1yiWH+gYoQTVxa6HSOsAH5FbE4QSa9phZXbf4jg\nkmJpddz4tE4aEUXPVyEiijt+E1FGLPa9MCqdkieWJ2WJGJDcF86ZkmJIZZzQofUk0cWtPC6NgQoy\n97i4vrnj1tw0rpyj0LsL0+wvRFD56gHxj4aR6vjqSaIhGYMWT4oRIrTcY9SEV6yIouMuRERxY/S1\nM4yETMaSyI2xQ8lFlCRapHJg6DIF2kU7JNE8pH9OfIU8zoXGSMbg1okRVzS+dExS3UKR4oUIJ66M\nEz+UQp6nR/dLwidk2x2LJH7cba1ME3G+u+Wk/jUx5MYthohK644Zhgl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from nt_toolbox.plot_levelset import *\n", "plt.figure(figsize = (10,5))\n", "\n", "plt.subplot(1,2,1)\n", "plot_levelset(phi1)\n", "\n", "plt.subplot(1,2,2)\n", "plot_levelset(phi2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 2__\n", "\n", "Compute the intersection and the union of the two shapes.\n", "Store the union in $\\phi_0$ (phi0)\n", "that we will use in the remaining part of the tour." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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/ziWwnIoofkBK7j0unnyauu34vE3cnUdFTmtrK/aPGYNHvv513HHffbjgrbdw\nfMgQvPXpT3eKiZLcdFwwSS4+Ok7+W9I8ydQt/eaG0VXseDJ6En7TTcUQF0nSwzQhl54Un6SJM15O\nEkha21x0SfUkiiKi6LJmqZF2PhcekrUoJHQmfvABbnjsMQDAM5//PLbMnt3+FB6vQ/NobBUXW1pw\neWickoiSLE68nLT//Jhz2e8ev10xvl8ueDxpokp68o5bnXw5Hu/Ey3BrlLc4+bqAPmnmzkmT8MRd\nd+HzDzyAK559FkeGDcPGCy8MzvckxS35b/rn4vFOUlv0z00n7ZR+V8MoBCakjJ6CB5SnxTD5fKkM\nFWB0HW+b6wN+Tg0JJH6d0URaSYqoGHcXFxZaOk180byhBw7gsw88gEw2izevuQZrFi1qfweeVif0\nNCAXUJIlTAoalyxovAzfRp+m5SmSsNLWS0gHCM/jgoeWCwWWc0uPVIaLJ/+tBZVTwSSJMU0MbZw9\nGy/efDM+/eSTuOlXv8KRYcNwYPLkDu3T/Rx6yk7K8/1poks6CdiFzuhO7PgyegLJwqOJoTQXnCRq\n0srEluM3tCHBxNvX6BOB5dVNTbj1P/4DNU1N2Dh3Ll779KeLPSSjSKxcvBirP/UpVLa04Naf/hT9\njx0r9pAMwzCMMqUoM5bHWKJiJrHk1in/3cG6k83ipocewtCDB3Fg9Gj8/stfRhadLUA8TfvXrEya\nBSsm5kuyQIW2j+87Xl5aL6U1tBgong4FllPVn+a64/FPvowW6K3N7UTL0va5pYi2/fwtt2D4/v2Y\nsG0blv785/j1d76DpLKykzWQW7qk99sBHY85uh2aJYq2Hfv7GEa+2DFmdCdpcUUeybIjWYZ4iESs\nu83XSSsnWbDS2g/9h4o+2aYmMvwyLwfEP9WXJAkufPVVTF+/Hk21tXj0nnvQXFXV/jJhX0aKiZL6\npy48TQxJcVp8nNq2aUJQ2ndSmpen/aUhBZlzN53/LkRguRT/JD19R7dDm2Wcjk8SPry/lkwGj33l\nK/jGP/0TJnz8MRY/8wzeWLq0w37X3vvEf3dqkvZlaFlej+43exrP6EnMtWcUEn5jLbnWvEvP5/Eb\nyVxeCMyFkCS+aFuhcqExaPU0SlJESVYeLc0DvWm5kdu346qnngIAPHX77WgcOlQUM1o7UhC5NE5A\nDz7XxFZoW6RyfN/xvkL7O4bW1tag/zcmsDzG6uTRgsqp5YlOvqlZoqQ8H7jt+5Em1jwxcCAev+su\n3PVv/4b0S0ruAAAgAElEQVRLX34ZO6dOxY5Zs8SpC2KevKPHFY+b0uoZRk9jQsooBFosUj5WoFzL\naIKJlg+Vk9JSf7StkgosjxFR/jskPKiAkdqqOnMGSx98EBXZLFYuXoxNc+Z0eBKPXvSktBRELpXT\n3H60Ht0uzQ3It1278Ma497R0GiGXXkxgeZrVSQsspxapXILGQ9ap0FQF3gq0Y/JkLLv+elz1/PO4\n+eGHcf+f/RnODBrUvu+44PZ/uJCwondlmoiSrHeG0VOYgDcKQawLjp4/fXmf1ixY9FoX88492hf1\nYIQEGB+TJLRiLFG9NrD8qt//HvUNDTgwejRevummYg/HKFFWXHstdkyZggEnTuDTjzwC2AXGMAzD\niKTkLFFabJOU5u41nzdh40YsWL4crRUVeOLLX8bZiooO0xlIbrmQO08KLNesUFJ8lTT2XAPnaVlp\nX/J1UjqNkCUqNrCcW5l4fJLPk9x70nvx6HrfRpo7j99BcJceTWczGTx5++345j/+I2asW4eZq1bh\nwwsv7FBPulsJHZvcZCwd44ZRbOw4NPKFh0hIFh+ar5UJuQG1tjVLUUz7fEwAVOsV3Y6SdefRdChP\nSmtxU5VNTVjyyCMAgGU33IADo0d3CiTnYkgTY6GgcS+C0mKptP48mtCSxJO2n2iaku9Jkgdr0+W0\nwHI6uSYtLwV70zKxr3Sh45PceVT80DLSvvLtNQ4ejBeXLsXNjz6Kax97DNumT0fToEHinFC+/9Cx\n6cvyPzgvYxjFxoSUkSvaxJrcdccFjD8nSkHeIYGUSz0ulkLCiqfTRJpGycxYLgmPtAuVVGbxs89i\nSGMj9o0dixVXXtmhP0mw0IBwWoYHeYdioHi9kNjTxB8VbXwbpX1A24/Z17kgtSkFlvMDV7M6+U++\nr3ShZbUYKZ7Pf3c+Nv6nf2/RIsxZuxaTt2zBNU88gafvuqvTPo+Jd+J/RFrGnsYzShETUkYMobc7\nhCxKkjihaWoJShM1PC0JKxpLxddJaY4m0tT9ErHvyobhe/Zg0RtvIOscnvniF5EQE51hBHEOz37h\nCzhbWYm5q1ZhwkcfFXtEhmEYRolTMpNt0nVpeaILLJvFdb/9LTLZLN697DLsGzcuyjJE2+fL3Dqm\nxUDxtkP1pDFJli/NGhfzdF7IAhWjrKlliW6vh7v7Qq47AB2mG6DlaBnu0tOmKpDGkmZ18k/j8flK\n+N1U49ChWHHddbjyuedw3W9/i5//yZ8gqarqsF/T4p1oGbq9drdvlDL5Wq2NvoN27eBWoZh8/x3j\nltPqxVinuDVMS0tPFkrjkyiJwHJJVIQuVFLe9DVrMGHrVpwcMACv3nBDB/EitROKidJccH5ZqqcF\nltPgdL7NUr62D2g5aV/y7ZT2O0cTUpKI0gLLqYiRXHdewNAA7VBQeWiqAilGyo+H90cFEw8sl/J8\nWyuuuALzVq7EiP37cf7y5VhLXMK8rM+TfjvJN28YpY65nA2J0DvwpAkzvYuOCx3uuqMixpeRBFIo\n+FtKU9LKhtIxRoeSEFF+OS1Pi5uqaGnBVU8+CQB4bckSNNXWAkp7VFxJbeca2xSyREkWMynmKhQn\nxccZI6K6avWIDSyXBBXdJlqeCyQqtHye9uQd8EmMFN1eKpjotnPB5L/pmHwe/ZMkSYKWykq89JnP\n4EsPPojFzz2HDxYtQsuAAe3l+Z8rJPi5j94wygET/AZFineSREcoX0prgeJp9Wian7/5eZeKslBb\nfllrK0TRRZTkXpPKSeLBf85/4w0MbmzEwVGj8N6iRaLYktqkeVKdWGHFy0hWJ62eVCbNOkX3g3SB\nlvZlCH6g5BJYTtPchUbLaE/f+TKhiTR9m357pSfvpHJ07PQPQYUX/10ymQw2zp6NHVOmYOLWrbj4\n5Zfx5tKl7WX4bxRy75l4MsoVE1KGh7u7gI7iQxIrtE5IfGlCJU3AaILNL/sxpJWNbSv0fyj7wPKq\nM2fwqRdfBAC8euONSIR3wBlGTjjXPkHrotdfR//jx4s8IMMwDKMUKbolSluvWax4GwuWLUP/kyex\ne+JEbJk1S7TUSO1I1h7ef4x1iredjxsw1J9mMaPj5ct8v8ZYRHicEo+L0gLLJcsUL9vV9+LRfSlN\n8sbL0fW+X5pP03Sf0bHvmTABm+bMwYwNG3DRSy/h1c99Trxz0n4nPo6+ToxZ3CgtzJJqUDeddP7k\nac1FR8tJsVQxLri0uCnt/Ky573iajksqq1GUp/M4aRch6TtJElQ0NeGiV18FACz79KeRAKLY0ur7\n5ZC7jedpAeIhwRR6Oo+7/0JtSfuMCwZp38agnTClJ/G4SJLce/xJOp4ntaO56mhaC2rn7jWPJJjo\nGPgxQf/4y66/HjM2bMAFy5fj7WuvRVNdXVBI0WW7AJ2Di3Gj/LBjue9B/7dpwkSLMaVl+bK0TquX\nazqmrVjxRdMaRbVESYHXkojS4qbmv/UW+p86hd0TJ2Lr1KmqWAr1pz3BFxJjUh5th4oiaWZzWoZb\ntnjbUnA574eup9+0/TQ0S1QotkgTVPz1LZKVicLjmaSxa4LJt03/MJIFi47Vl5eOO9r3/jFjsHn2\nbEz/4ANc+NpreGPpUvGY4k+NSMdqX6XC5mrrFZiQ6ltIE2lyCxIVGf48SM+nPJZKE2RpIi20Pk0M\nSefnkFjieVyQSZTca18kESW14VpacNFrrwEAVlxzTQcrlCSmtP74mKiAShNW3GKl9a8FoPPxcKsW\n34aQqPJtS/sqhtbWVvFAoZYo3j5/xQsVS/SPI1mZqGWK5nGhlSaY+H7gFiz+h6Tl6Ti1P/Pya67B\n9A8+wILly/HW9dejtV8/9c+r7ae+ChfLRnljNwZ9g3xFTppACQkcLlZybUsSPprYiu1PElgSZXuW\nm752LeqOHEHDiBHYMmtWsYdj9FL2TJyInZMno7apCfPeeafYwzEMwzBKiKJYoriVJbYeVZgLly0D\nALxz+eVInEMSCBSPDeKmY5IsQ1I9Kc2tTlpbPC3Vo3na+KR95MnFKkItB5o7j99JaK45akKV4pn4\ne/Gcc+IM5b4/aVoCanXiFjluYZKCz6WYKOkOZeUVV2DCtm24cNkyrPHHG/sdpP3VlzErVO/Eju/e\nDX84SAqypsHffB23AtG82IB0zTVIz/uxFixOyLLmkdoPaZWiB5ZLIiZN6AzftQvjtm9HU20t1i1Y\nIAoRWk/rS8rT4rR4e7kKJqkcTUvB55LrLhd3Xi4iVaoPyO48aVJNn+/ddH576NN5tC1J6PIZyrU/\nHB0HDxDn7Wt/Gt6WFCPl/0ybZ8/GscGDUd/QgImbN2MneQrUt20zPXd8obTRuzEx1fvQRBEXMZpL\nLJ/4I7pOG4OWjikTct/FlIlx5xXFEkWXQyJKKgcA569YAQBYt3AhmquqACYWNKFDL5y59BcbkO6F\nD69HBZEktKTgcynwXOqPb3dIVKURa4nSrFNSTBQXPHRZehJPsiDROmkBhnzfSOJLerRWOg7bAyoz\nGay55BJc9fzzuGDFCuxk7uNcxWpvJOZkY/Qu7Mahd1FRUZFz8DdfL54/hfMuIE/IKREjvkJiKE3c\nSXlSWqPsbhkrz57F7NWrAQBrLrmkyKMx+gprL7oIWecwdcMG9DtxotjDMQzDMEqAorvzcmXqunWo\naWrC3vHjcWj0aEBwb1F1yr95nl+OjZvilh7JMhSyTnFLGLVCSZYvzYIlbV/InScpaa7Gc3XncasU\njXPiMVG0Ho+R0l7pQutQtxl/gaVmoaJleB63YHG3IG/7+KBB2DpjBqZu3IiZq1bhvauv7lCuL5N2\nJ2kYRnnALTBp8Uc0ndZWmjWL5vEnvLX+u+Li0+rwbQhtI1AEEaW50qSLl1Ru1rvvAjjnyksTOjz+\nKMYFJomlNGHl09L2cWElxUBJQeuauzCXbemqO09z3fE8+pJgn6axTXwskjvP5/Pxp5mMeR7fD1Qc\n8TzJpBtqe93ChZi6cSNmr1qFNVdd1Wm7+iImoAzA/gflihQgTs+DacHfPk3FD21XEigxYihN6IRc\ndFyQaX3SdMy4NIpiiYoRUVK5mpMnMXnjRmSdwwfz56tCh+dL/YfECc/jdXg5QLce0XU+TxNQvgwV\nUDzgnLap5UnbLu0Hj/ZkGRdV3DrEn7iTyvAn7mjbkmCieZJgou2kxTvxMml5aWyePRvN1dUYs3Mn\nhhw4gMYRI4L7tTfD7xINw4RUeSH9h0PCIU2IpImhXOOftHNzmjhKOydpwi4k0kKUlTtv6vr1qMhm\nsW3aNJwaNKiDKy+EJspyWRcSW7QffrEPCSuf1qxTtO1CPK2Xhiaa6PoY4cTFEhVSfj2vx4MQqYuP\n9sMn25Tukrj4klx1oTzeth/D2aoqbJ4zB3PXrMGXfvxjbJs+Paf9W+5kKyqwY+pUfDx3LpLq6mIP\nxygxhp45g9mHD+Piw4eLPRQjQKtzeHH0aGwYOrTDOdALB35zycVPjKUoxgoUI5h4H7ydNAFYyDIa\nZSWipq1fDwDYNG9ekUdi9FVevekmDDt4EKN378YFb79d7OH0OAuXL8f6Cy/Es3ffXeyhGCXGX69a\nhan20EVZcOPevfjG5ZejoX//Yg+l7Cnqa18kFxy1zNC8iuZmTN60CQCwec4c1TLErT6aZUjKo/2H\nxszzYvrX+gtZodLq8XFo7rw0l1PInUdNvtQqRMvzCTJ5W9x1p8Uw0fohCxPd3th4J74/eD3JgiWN\n4djgwfj5d7+L6Rs2oLapKbhfexvD9+3DRW++iSENDcUeilGCjDt1CgDw4/POw/GqqiKPxtD40s6d\nmHzqFC4/cACPT5qUc/C3dv7Px8rjz/v5zi8VKkPzpAee0rZPy+OUhSUqSRKM27IFVWfPYt+4cTg+\naFCHGcr9d0jYhPK0PtOEnSbiaBtS0Dh1zVEBlRZfFUrzMdP2Ygm586Sgcj+vCA0ip0LIj4G64ug+\n4IKJjlkTR748LyPl+bJagGM+JEmClkwGH/RBa+i47dtx0ZtvFnsYRonz2PjxaCIzThulg3MOTZkM\n/vyDD/Cpgwfx+KRJnYQCP5/6vFixBeQe/yTlFUr4aP3ElCnJwHJ+geMXQc3S461QW2fM6PYx5ZLH\n24gVVjTN86W2+NN6NM0FiNR2GloMFD+gtafxfJoLKS+y6PQHvh0umPyytO8kIeT3UUxsUy55tL/Q\n/u1LxAZZGgalL/9nSg1/rnunvh5ZAPMbG1Hd0oKzxGqYZhWS8vIRNTFl0oSPFPydJu5iy+RC2Uy2\nOWnzZgDA9j4WzGsYhmEYheJodTW2DByI6iTBnCNHij2csqcs3Hk1J05gxL59OFtZiV0TJqjuNc0S\nJMUo5Rs3xa0SMZYrPiZaX4qJonVCT+xJ9aQ+YsnVnSeV0axO3EzLn/aQxp72RJ0W9yTFNuWSpxFj\n0euNFMINavRdzBpVGlDPwur6esw4cQIXNDbivREjAKTHP9H4WAnJwsPz8rF0aW33VBmfp1Fy80RJ\ngmXctm0AgL0TJqC1qip6agOpX8m9FpMXas8vh4LU+faFAsPTgs21tmkez08jxp2nzSYeCiLn0xnQ\nMlwwcYHE92VMXqEu+JLg7ovYy4SNQtBXb0BKBS6O1g4Zgjt27sS8xsZUV1qMOIpxiXVFwORSL99r\ngVQvpq2ivoA4lrFtImpXWxCcZv3RLEGFICS2tD61cfDlXISVJDa14HJt+6WDkAcB8mBwOhbpaTyf\n5vVoLBOf84ne2fA/pt+uQsY2xebRbeuLAsrvSxNQRqGxlxb3LPwVXf7cvX7wYADAjGPHUJHNopV5\nCzwx4oS2GyNEpDJaEDkfS1rbWr20+CoJKeZKomTceSFL0OgdOwAAeyZO7FLb9MIp5fG+C+EG9GX5\nslSPjlcTVqHgc96/JKK0g4eKKOngBj4JKteexqOWJEkw8TsdOs4YV11P01cFVCnse6P3YlapniFk\nvTlaWYmd/fphwunTmHz8OLbU1eUlTmiZWMuS1E6hgr8LZe3KhdK/1cxmMWr3bgDA3nHjijwYwzAM\nwyh/Ng0aBACYfuxYkUdS3pTMFAcagxsbUdPUhBODBuFkXV2ndrg1Q8orJporT7M8AenB5kDHKQ40\n61jIEgV0vMvglij6ATpOSUDnd/Lj9fW8ZUqzOvny3L0Xinei25JrgDjdJzF5lGIfO8XApjIwegJz\n63UvPF5VcrdtGTQI1x84gKnHj3eo29VpDrR2JLrTeiURMy1CbFueknHnSSRJgmF79wIADo4e3emi\nnW+b/DvkSixEniSQNFefNk7J7ReKk+LbJgnVGBFF/4w8lkkSTLQsrxd66zZ16fE8P6Zc8vIltL96\nK5Ib1zCM8iVGwHw0YAAAYDJ5VU++7jBOIet1pxjLpS2NkhFRmjVl2P79AIBDI0dGtSMJh0JcGLkY\n4hdvOm4pQFwSSFL7vC/JGsX7p31IY9T6TBNRfEJML5h4TJQkqugdD7cW9cTFmgs6LjY1sdXXrE8W\nA2UUm772n+tupP+0JI62t4moiSdPdiojnasLHfydJnIKWS/ftmIoqoiSLDec+gMHAAANTETxuvkK\npJA46gmrREhkxVi0QpYoScxRQiLKCyj6hJYfA3XnxbjqQnm0TiHccrnC91VfwgSUUSr0xf9fdxES\nOVQIHaypwemKCgw5exYDm5txsqZGrReyzqQJGsmylDZOrS3eXyHbykV8UUo+sNy/7PTIsGFFHolh\nGIZh9BKcw55+/QAAY9peHm3kTlEDy2MYfPgwAKCxvr5L1ib/LcUW5dsWtxRJeVoMFLcepeVJ32lt\n0zHlYomiVigaTM7HwC1M0tu8qbVKCzaXYpvynaOIby935YXoa3fDFkRulBJ97f9XSGJdeLzM3tpa\nTD1xAqObmrAlh/40y1QhY5CK3VYsJRMTxUmSBGhpwYBjx5A4h+PkybyoukAHQZFz39AFU1fIxX1H\n0YLG04LWcxFRNIicu/OoK48LFC6OCoHkqsxFEGlt0nHTvO502ZYiNpGmUaqYmMqdfG6IkiTB/tpa\nAMCIpqb2vEI99ab1WYriqCttlZyIohfJASdOIJMkODlwILKVlcHXvRTSwpRv/TTrUVfGRfugyzwv\nLW6Kwp/KolYgLpgkQen7k57Ei83z/fP4qxi6KqwKKY7LBRNPRjnQ1/6X+SJd+CVBoImcQ9XVAIDh\nZ86I7RdDvJRT+0CJx0T1b5u/4mTbpGCGYRiGYRSGxjYRVd/cXOSRlC8lZ4mi9Gt79PJ0//7i+kJY\nIHKtr1l9cm1DimNKy9MsUdK0B7ydNEuU5M7j/XGrjxbb1JUn5fiTd7kSmr5AKtuXMCuUUU7YhJw6\n9L/cFffY0TYRNbi5udtdbeVmYYql6CIqdLGsPX0agCyiuhLrlE+9rgom6mLLF01E8fVSjFSaiJKC\nyKX+Yg9SSVjRvFy2mbaTK377+VQNfekETQWyYRjlT+yj/Wnn3GOV5yTAwJaWvNovNLGxVYWkq4Ks\n6PNEhahu89M2twW/xdbLtZ/uqpevYJKsZKGxaMJKsmj5fO1pPN5OWgxWV/ZRvnc9+YqxfK2P5QqP\neTOMcqWvWY1DFPKG6FSbiBrARFRPUCzLUaEpuiUqRLuIajM55vNHytcl1FOWrq5c2ENCh6alaQ+o\ndaKrB3NXA8R76s/Ul07ENpGm0dvoS/9fjVzOrTFWndNt62u60TKfz01vofrtiT5L2sZf0aaOW6qq\nijwSwzAMw+hdnGkTZTUmUPOmKJaoWKtLRZs6zpbBpIA95SLqakC8t0rx6QvSXHe59pXPpJndaf3r\nSzFQ9KXQhtGb6KvWqLTzaL5Wl5a2OpUF2q/FsjoVk5J25zl/Uc8zqLi30ZX4o67GA5Xz/i/nsedC\nXzpxGX2bviSmuvOhkKyPm+y2Hno/RRFROZ/syyAArSfGl2+cCw8i93m51Mu133z++N2xD/vKydZi\noIy+Rl+4OYr9T+f737czRtcpaUtUtu1CnOnChTCfgyuTyeTl/slX4OSDv2hyoaOlaRC5hwoqqV4+\nY+ppV5LWV18RT4AJKKPv0pv/5121QMXUr2i7HrQW6PxRSuehnhpLSQeWt7Y9fllRhMcvDcMwDKM3\nU9UmQs/aPHJ5U1RLVJpS9E/lVZ09C+ATZZ2rlairLrB86nalTlcVtDQTuRQTRV18mgUrJq+rd0y5\nbm9a+b4URA4AlZUlbVA2jG6lN1mjpOtOd1pUatv23ZlufHhLG38pWa26QtHPvqEd2VxTA+CT+aJo\nnZ52neXj4qOTWHbVPZiLqOHjpi//lUQUd8PxdruKFFfVXcK2L8RJUHrLicgwukpv+O/H/p8LFWze\nr83Lc4qJqGK94aAY/Xb1HFp0EQXoG9HUNlN5TVOTWq8nrUxdCbTWZgf3yzF5MSKKv75FeuUJHxO3\nKOViieL7It/9I+2vXH6n3nQ3GoO9xsUwOlPO54FcHvqJJc0K5F/3crIL1mypj+6+uSul9kv6TNzU\n9s48/yJiwzAMwzAKQ11bqMxxm9A6b0rCEkWhCvDUwIEAgP4RIopaYPLpLx9lS/uk1pzuvBsKWYY0\ni5b2Dj7NfUdjpGIsX7yeNGapHL3zyvepPnuZsGEYlHKyRtFzorYupn5annbOqG8TUUeqq7vdolTu\n7WuUnIgCPrlgnxo8GAAw8NgxINLfzcVAPkHoIXdVrm3x+oXIo+OkF1XqBgTQLqByFVFU1IRcfBpc\nMBUCSdgB5XXCLAQ9/YZzwyhHyuG8wM+NMeInF4GUhnMOw9rijQ+3vZ82X+FWyBu7chNbPS6ichls\nc00NztTUoObMGdQ2NeF0W4xUrv1xcdCVIG8uPHg/+fwYoVgmnsf7C8VASa9ukabl16xOkvVIslhp\n+yjXPE20ccrhBFlIuirmDaOvUqrB5tp/Ot8LfL5lRjQ3AwAOBq6thRQdxWiru8+bRZ2xPFV0OIfj\nQ4agZv9+DGlsxOkxYzq00RXRwoUVdcsVCtp2yFrERYEmMvg409x3uYgo/i1NeyCJJi58Cumqk+iL\nAsrEk2HkT6mdM6TzoeZxoHW08l0pM/r0aQDAwX79gmPOV6Tla7UqZFtdaT+Gkg+uODpsGABgyOHD\nRR6JYRiGYfQexraJqL0pIsrQKYmYKB7XQxVh44gRAID6Q4dS2/DfXXV/SFafUB4dt7Yt2p1GmtWJ\ntkXh8z/5PP6yYW6J8vlplihuQaKWv5CVKbTvtXq8H9ofpdTuKLsbs0IZRmEo9rmDnjdpXigdWyat\njlamprUVI8+cQYtz2MfceflaurrbXZdvve4cQ0mIKAl/ATk8ciQAYPiBA11qi7ap5XUXobil0JxQ\ndJxaGe6+43FTkojiaPuECyafpn8muv+oKy9GKPI2JNHmKfZJsBhYELlhFI5inUNC4iOf61GhXHsT\nTp0CAOzp3x/ZTAaZAoqiQrr/8q3XnWOgFCWwPBdLUcPo0QCA4fv2dRIUvK18g8al8UkX+XzztCfi\neB498HnslIeXcc51KMNFFe9f22b+zbdFEkdS/BPftoqKCtXyFKrnt6+vYdYnw+heeirYXLvZlNI+\nL1Q/VDafMlPapg7aPmBATu1KdKflKnb6h5hxFnIqCU/RLVEhMQIAh7yIOnAAmZYWZFNmVpUu/IVy\ny2l5gCzsJJcbzafLUnA7F0wVFRXtItELkdbWVvVpPOl9edo+49/8N6EWKP4tCa2QQJL64/RFAQWY\n9ckweoLunssvVkClnQt5W7xM2kM7WuC1cw5TT5wAAHw8aFBObUrbJI1dy+uuMrH1Ct1fyQeWn62t\nxeERI1DR2ooR+/cXeziGYRiGUfZMP34cAPBRXV2RR1LeFN0SFcKrwX0TJmDowYMYu2sXDowf38li\nQssWa4yhMXELllRfszpxq5a3VPj4p4qKinZLk7d6FcIS5fuU8uhYvbuOr0tz+0muwZj4rd5MISes\nMwwjTCGtUWnn/9A3b0NKp13fYoLWaZlMkmBmm4ja2Cai0qw22hhCbkdtLLmOP9R/d9WLPR8XPSZK\nch1x9k6ciDmrVmHc9u1Yc+mlwbb5t2RGLWQevehz9x11HXIxJAWW87Z5TJSWpv3R4HKfHyuiaLt8\n//F5o4CO8U60nRhhxdvqq+47jwkowygOXT33aE8xh853IWGV5r7T1kk35JqAmXzyJPq3tmJfbS2O\n1NSobcaktby0MoVop7vFVkxbJWeJkmKL9kyZAgAYt317e74kILjwoHlAYWKbpDzfF5/IUror8Uh/\nDD9ub4Xi1ile1rfPLVGSeAqdKELxS9LTefwPL6XThFVfe+edhHTCNAyj58nHAq6JJbqOL2tlaL6W\npvn5TJdAmX/kCABgw5Ah4nlfu7EOtR8zhkK1013CLrYepSzO4IfGjkVTbS3qDx/GoMbGYg/HMAzD\nMMqWBW0iam19fZFHUv6UjDsvRJLJYNd552Hahg2YtGUL1i5a1BNDbSdkWYq1hGluORr7RK1MmjVK\nc935tiR3Hl8O5fnx8e31+dwax9OhJ/bodhj2JJ5hlBIx5yXt+hW6pmnXCl5G8wSkWas0a7ZU1zkH\nlyTtIuq9tjeC0Dq8fa3vmDKFshD1pFUrZjyUknHnaQeaX94+YwambdiAKZs34/2LLsrpwIzN0/qn\nbjouDrhg4ttEhRTQcZJMn9ZEljSlAXXd0bLStqS587SDkP+JebvaVAf+m7vutP77KjE3DoZh9DzS\neUq7aUwTUbkKK9+H1rdUnpeT1vF2Zxw/jsFnz2JvbS329OvXaZLNtHOTdq3T+stHfPE2tDL5iKR8\nhZRGyViitIPDs23WLADAlE2b4FpbgRw2mh6IMbFNsXmaEJMEU1qAuC/Py/Cn8fh6STRJlig6lxTf\nLxJSIHkouFxLm3jqjFmgDKO08RMVh8RQSDD5ZU9aPamcJkS6KrQubWgAAKwcPhwu5UZau96FxiFt\nS6hMV+vwvO4UZBIlY4miSILl6IgRaBgxAsMOHsSE7duxfcoU0RIkWX1CQYOhgyUmL+0pO57Hpy5I\nC2UFkL4AACAASURBVCLXxJfvX3Lf0f75tvMAdWlf0OWQJYrvA1rGxFNHpJODYRilSUggpYmhkLDy\naZ5Pz6N8HKFzda5CCwAua3sP7dvDh3daJ6XzCWIPiZq09iXyET35CqU0QcYpi8Byz0dz5wIApq9f\nX+SRGIZhGEZ5MaqpCTNOnMDpigqsHjq02MPpFRTFEpWrOdTnbZ4/H5e88gpmrluHF5cuVdV/yIzK\n87RpCdICxGPuQCSXG833pAWR0zQdd5o7j24X7TsGyXXnx8q3hd9N0f7NInUOc+EZRvkgeTa0dJp1\nKi3N+9Xm1ZOWeZ1QvnMOVx88CAB4e9gwnK2s7BAPxc/l0v7gebHrffuh+jHbKW1jLunYMjHuP09J\nuvM09k2ciKP19Rjc2Ijx27Zhx+TJ7eukgzfXeCfejtS2Nr8UddNxU6s0uaaHP6Xn6znX8b14znV2\n3Ul59BuIn/9EO3j5n5Cvo+s1gdZXhZR2QjIMozSRbqZjxFC+IopeK7SLu3bTytfFCJBr216d9mrb\nO2lD+yCfdFddf7HpXJ8ijGkzZqwSPS6iNMEiHbydymUy2LhwIS556SXMW7MGO9viooDwUxW8bS2P\njyktQFwSFVww8Xq8DB17zCtdfH/5WqJi0KY48Ov4PvTjds6pgqkvCimzPhlGeZFmZdJEFRdDsSLK\nI4k22h4tx8dJv3kd+j3h1CnMPH4cJysq8Pbw4eoYtH5ixZxUXhprqL4kkroi7nIpk8t6oMxiogBg\nQ9scUbPeew+Vzc1FHo1hGIZhlD437t0LAHht1Cg02w1ewSjKFAd0OReV7pxD45gx2DthAsbs3IlZ\n69fj/QULxHJA7vFOQEeLj6SUqUJPszrRtDYvlGZJk57042ltck1apqvuPDoe7W4k1trVl6xRsbFn\nhmGUBtp1SLIy+TK5zh1F+/JtSuPQyqVZnniddm9BNosl+/YBAJ4bM6bTdmltS+mY8camc42TCvWt\npbvDxUgpm5go+qOvu/RSjNm5EwvefhvrFi4EIAdxa4JJE2haO7wNrW1tSgLJDajFS/n10qSaUr4k\nGgvpzuPtSKbikEtVoreLKRNQhlF+SMInFBOV5rrT6vFl/x1y5cWKJr49nsUNDRje3IwdAwZgfX19\nh4DyGBGkXTdpWoufjRFpuYqvUFrqJ6Z+ruLRUxRLVMjqQ9O0HLWofLhwIa564gmM37YNo/buxYGx\nY9UDVNtZWoA4L0fHTC1BkjDy3z4Whs4H1X5HwKxHVGhRMaTl0fa0yTX5tsRYo0IHnB8n309c2OVC\nS0tLznVKGX88mYAyjPIjFzEkxU3FPrHn04D+WhYuOkLxR9I8UVIbt+7aBQB4avz49gk2JeGj5Wt9\n8vGkCY98xFAoHRJ2sf3zPG3uLY0eP+OnHazSh5drqa3F+osuAgAsevPNDgefVN8/RRbTttROKJiQ\ntx1a1tLS+Pi6TCaDiooKsV5FRUWnddIYQx+pvG/Xt+3X8f7yJUmSXvExDKO8ibkOha4xuZZLszrF\nlKNlQ27BKSdO4MIjR3C6ogLPjR3bYR1tg+fzddr+4v1JbUppSXiGtlHbB6G+Q9uUViaUppTtbfOq\nK65A4hzmrF6NAceOFXs4hmEYhlFy3L5zJwDgubFjcbKqqsij6X2URExUyCoEyPM9HRsxApvnzsWM\ndetw0bJleOUzn+mkpjXFKbXN3Xt+Hc0LxTb5crR/KVYok8mI7jxa3ls4nOvosqNpvo5vNyfm1Tda\n2o9N2p+FwM+PVY5Id0WGYZQPXY1tCnkqpHq8rk/7sXAki4nkUuOWHOcchjc14fr9+9EK4LeTJonX\nSKmN2HI+LcXRauMMpWPXxbQl7bdC9u8p6guIvYCQLvBpP6hzDu9cdx1mrFuHBStWYMXVV+N0v37B\nQHIt+FxqW2qHCyYtsDwtaJzmc5Hk87i7yIsmKfic1qN98f0ZixZYLv1BChUkXm5uMRNOhlHeaOd+\nuhwSQ5r44vGj/EaLvvUhtp4WnM2vS3zb7ty5E1VJgldGjcLe/v3FGcp5m2mB6zGCJBcBownMmHTo\nN5S2JW3csWOnFFVEhQ5eelHVRM3+SZOwbfp0TN68GRcvW4bXlywRdzY/CLhVi84WniaYJEFG09yy\nxAPE/SzkVPDwAG1NBHnrFIBOgsrn0e2UhAkXXhLagcMPyEILn3KxSJn1yTDKnzTBRNcBsuiIFVZ+\nHU/HiIVc46J8etiZM1i6Zw8A4KEpU8T26TfPj12W2goJJK0vv20x62LayqUsv+bzcYcouoiSXHX8\nIKTigZdZfuONmLx5My5atgzvXn45Tvbv30kshQ4cSWCFBBO3LEn1eB4VPPT1ML6+tzhx8UWFFXfv\ncUFFx8S3NV/SDqrusB6VukXKxJNhlD+xN/NaHk9LQdL0/JkmhNKsTprw4q5E+n33jh2oyWbx+siR\n2FZX18kKJW2z1rd0LZDGmyb2tO2jxAivXERbLmneX8z5vmwDyz17Jk/Gx7Nmobq5GZe99FKxh2MY\nhmEYRWXs6dNYuns3sgB+NnVqsYfTqylKYLmm/GmetE6yMDnnsGzpUkzZuBELV6zAu4sX43B9fYe+\nuLKUXG6S1UkyJ1IXGn9psObO42Pn78Sj7QMdrU48Bopan6hVytenlpxcrTppityne2KyzFKckDMX\nE69hGKWLZlnRPB5aOuTio31J1iTJ8pOP607anm9/9BGqkgTPjR2LHYMGpW4bJZRPv2PqSOXTLEMx\n9WLSIddg2nk8l/JFcefFxDvxAzPk0msYNw7rFy3CvJUrcc3TT+O3d98NQH/yjh6Eock2ufDhbjif\nD3wS6xR6xYuvx+cXklx39Ak9n8efDOQiKrQcQ8zB3pPiptSElL1Q2DDKn5C7LO1mXktzYcX74cKH\nCjBaTxJb0pg90jbMO3IE1xw8iKZMBj+bNq1DuTS3nGZ0SBM7fP+F2pLqhUJHQvW071BbaWOX9mmI\nosdEhcSRtjGStejNm2/GjLVrMXPdOkzesgXbp08P/jH4mELChwsnPg7gk1gnbn2SpiHg8U88z6e5\ntYmOWwos9/mUXIRUrmq9JygFISU9/WIYRnmRdqFOywulQxYlSTCFxhASW7xtmnbOIZMk+P6WLQCA\n30yejEP9+sEhXiCErpF8OfZpvVyuK5Ko0erlkk4r25Wg9V5zdTgxeDDeuv56AMCnf/c7VPSy14oY\nhmEYRojP7d6N6ceP40BNDX45ZUqxh9MnKLolyltdtHgnXseneX4mk8Gqa67BnJUrMezgQVz66qtY\ndt116vQFUtySLyM9gUfddHydT1NrFCC/A8+7BGkZzXXn9w0t55GezqPj4vsqVyTrSzGtQsXq26xQ\nhlH+5OPSycUSpVmGpDTQca4ong5ZjUJtDz9zBt/8+GMAwL/MmoXmykrVgqVZ0SQrkLTdMfs0Zl/H\nbHOoL+k7xuKotRsag0ZJiCjJdJYmonhAOABkq6rwwm234Y4f/QiXvvQSNs6fj4MjRqROX+DX+bQ0\nnUFISNF6PGhcmuJAc93xuDBtck1ADiz35Six7rw082UpuNV6ch4p/mc0DKN8kYKMQxdNLS/t+qUF\njWuCKd/A8k7pJMF/2rQJA1tbsXz4cCwfORKZPISItj28viTI+PaE2gptM7/2aG7DkCCStldbl0+a\nUnIiSop3SlOzNH/3tGlYe8klOP/tt3Hzr3+Nn//hHyIhP5YkkLS0ZImSLFB07Lm80gVAp2B1X4Zv\nZz6B5aE8jnbQlIJ4onT3eKTjyjCM8kUKyo6xUEiiiX/7Zf/QiSQMQmWouAsJKO1pPD+GGw4cwOJD\nh3CyogI/nDMHjt0ASk8R0nb4dkliKBdBxpel/ae1pZVJ+73SxqalY0WaRsmIKD6TNi8nPcEnueKc\nc3jtc5/D5E2bMGbnTlz2yit447rrOo2BLmsB4yFLVJpVCtBf6ULLUssULcMFUr6B5Vqetj9oXqkJ\nKE93jSv2T2MYRnkg/ae1C7AmmNJu+mPyuPtOE1CSgAmJK+fOvR/v+xs3AgD+deZMNPTrp7YVs318\nX9Fvafs0QcbHIPWnPSmZr2DqylN8uaQpvdJf0dyvH5694w4AwOUvvogxO3YUeUSGYRiGUVgySYL/\n8sEHGNTSghXDh+OZsWOLPaQ+R4+LKG4epGrVK1yqdEMfX4ereOccds2ciZVXXYVMNotbf/lL9Dtz\nJqptb3KV2tTyQmPPZDKoqKjoVIZ/pDJaWVqH1vN5of0kfaT9UA5ks9mCfUr9dTOGYcQjnZe1PL4c\nOm/mYoXi52Q+NrrMryux6Tu3b8fCI0fQWF2NH8yd2+7Gkyw7/PyunfvTrgma5SrtGpKWL1m2tNir\nNOuU1J5UVttXUlqjZNx52nqg86zi2g7ieW8sXYoJH32EUbt34zOPPILf3n13p1gmyU3HJ9bUyvGY\nJ+dcp6fzuPuObwt9Oo+6NEMxULSeX+b7WCMUhE7LlKorj9PVcWp/NMMwypPQxVVb5ucB7RojxTrl\nkse/aRkuyiSRRq+Z5zc24htbtwIA/m7ePByprYULtB8SUKFt5+OX6nG3HN8m3n5o+2J+I63NkEDS\nxsDbDLUjURKvfZF2lhbv5Je5GOExUwCQVFfjya99DXf/wz9gxrp1+NSyZXjryis7/Ojaq1p4/7wP\nLqq88JBe6ZLJZDrFNvF4KS6KQjFQfhs1EdVVq0pPPgVXCPIVUjF3GYZhlBc0LgaQL7DazbeUL8Xt\n0L54PSlPskbFCiZfn+aNOHsW/9uGDagA8PDkyXh3xIhg+zHGCmlbQ/tPE3ex+1dqm17/Q31J+drv\nlKtACo1XosdFFBc7oR+DCp00xcxFkV8+OmIEnrnzTtx6//246qmnsH/0aGybPl2c0oCOgf6Ifn3s\nK12ktqVXuvi+tMBybV4on5YCy/26fCgX65NErmM3AWUYvQ9JBPB0jCiQ2gpZL2LzfD6/xmmCiZb3\neVXZLP5y7VoMbW7Gmvp6/HTaNFWQpY09VgxpbjVtO/22hQSMNgZeNvb3Cm2P1D9vO5d6lF4ZWM75\naP58rLjhBmSSBLf+4hcYevBgsYdkGIZhGLmRJPjTDz/E7GPHsK+2Fn99/vnIZvrEZbxkKUpMFF32\nijVknaL5QHi+J9oHbXv5TTdh2L59mL5uHW67/378/LvfxemBA8V5n7irjuf78tJLhLmLj1qaQnA3\noK/HLVYebpnyeZRcrDO9JbA6dpvtZcKG0TuQLBV8XexymutOWpdrTBS97vEyWhC6z7tn2zYs2b8f\npysq8JcLFuBYTU2ngHfJwsP7o+VoX6F6aVab2P0f2schC5bUv9amVo72oe0HrZ5GUZ7Ok56E4B/p\niYWYevTi2GFdRQWevftu7B83DvUNDbjtpz9F9dmznerQvmj/9Kk9Og76BAZfL5Wjy6G2QmVjP/7p\nvbRPbyPtSTzDMHoP/LqhnVd5Pq+T9mSzdl3gIkJqX3v6mtZLE1BL9u7FN7duRRbA386fj611dZ36\n1a6PfD9J25hLvbT+YtqT2qa/Kf99+ToucKQ2pbakYyfUTxpFneIA0B+zjPlRpINVOih8uqW2Fo99\n+9s4Wl+PsTt34tYHHkBlm9WHCgrpzycJNGm9Nk5JIEltSGJK++Pz9bl+ejMmngyj9xMjmvjFkd9k\natcS6XpC62tCTLsO0f6lerx92udlhw/jP7dNqPmjWbPw1qhRUddRqc9YkeTr+TIeTQxRQsIrNIZ8\nx5lrnTShJY1Lo3dfSQVO1tXhN/fei1MDBuC8jRtxyy9/CWcXWMMwDKMEWdDYiP/2/vuoSBI8NHky\nfjdxYrGHZBCKOk9UJiO/J4/m+zzeBi9D01Q18mkBMpkMjowahd/cey++/KMfYdbatWiprMSTX/oS\nkrY7Aj/XE3+RsJ/CAOg85YAvL8VJhaYvoE/mSfNAafM68WkUpP1Ey3H6imWGx7wZhtE7kM53Hv5/\nl64hUh3J4sLXhyw13OLC83yaWl14GVpu/pEj+Ou1a1GdzeKJceNw//Tp4vWSXve4hYznhcYZqidZ\ntrR60j6hZaUxafU0y1No/0t9SWPX+uN1QhRdRAFQxRDPo+V9W7wNX5a3z9s5OGECfnvvvfjij3+M\neatWwSUJnrr9drQ61+F9dryeJKz8WHi/XhiFpi/Qgs+5+PJl+bIkrCiSWOotQeSGYfRNpIu1hLYu\n7WJPy4TWa+Ii3zx6gb+gsRF/8/776JfN4rmxY/HPbS8W5tdGzVWlCR2f5mPQBA2vG6oXEj4h8ZIm\n2mLEUawYktqS+tP65xRVRPk0/aZlJIHkkUQMt07RfF4nk8lg39Sp+O299+ILP/kJ5q5ejcqWFjxx\n551oyXScWZYKKP50nu+LWq8kq5P05B0to80DpYkkaaJNSRxR4efH2ZcwC5Rh9B7y+T9rVinpwhgr\nnPg6LgK0PNoGzaMB6gBwUUMD/mrdOtRms3h+zBj8YN48gFzsQ6JDEzcx4kvaRk1gxNYLWcM0gRMa\nO9+/2n7Qtpv3w39LqXyIooiokPWIluHTHkjr6cZK0x5wyxTP2zttGn7zne/giz/5CWa+/z6qz5zB\nY/fcg+bq6k71/DLQ+ZUu1Hrlx6S99sWPzW+LZp2iYovW8fV8WYokpMrpNS6FwsSTYfQucvlPh6wP\nWrvSRT1tfa6WJzoWSXQAwHUHDuB/2bABVUmCp8eNwz/NnYskk4FDRwsSrcetPFyUSVYgSZyErEwh\nMZTmCqV5obFrQihUP5SnjSOmfS2PY1caAHsnT8avvvtdnBowAFM2bcJd//qvGHD8eLGHZRiGYfQV\nkgS37dyJv1i/HlVJgl9PmoQfzJmDbOACbhSfkpls05M2aSZvIy0mSntVC887OH48Hv7+9/HFn/wE\no3fvxlf/5V/wyNe/jkOjR3dyxfll2j91yXmXGVXw3H3HA9Sp1YmXlfadFFjOy0ht9AXMCmUYvYtC\n/KdDcVSShcnn57ouF8uUz6tIEvzRli34/O7dAICfTJ+OR6ZMEd1RaVagNFcdHXua+yvWWsT3Ry71\n+P7XxiBd92MtWNpvFtoPsXF3JfHuPL/My9AfXkr7J+l8/ZBoovW0vGOjRuHhP/5jfO6++zB2xw7c\n86Mf4cm77sLmWbPaDwbfnxT/RF17NI8LJD4TuV/PRWKugeW8DNB3YqDaT0a9cPJQw+iL8DCPmPIS\naYKJ1g25pCQxRPNpHSleR2rHOYe6s2fxXzdswKLDh9HsHP6fefPwypgxHcporjTaty8jiShpnFwo\nhMSXJGryrScJQK28tg/TRJNURysj9SUtaxQ1sJwKH3oRbG1t7fADh2KdeIxRvpYoLz6a6urwyPe+\nhyUPP4xZa9bgCz/9Kd68/nq8cf31yDonCiTeTujJO5+WylDxRLfbkxZYztf1lTgo7e7GMIzypCs3\nRTHnAsnKIImjtPWaESBGwADA9JMn8d/efx9jT5/Gkaoq/PeFC/FBfX17/BMVGmB5tF/N4sPXxwTA\nh8QVr6v1F6oXEkNSW1K7PF8bgyas0sYgta9R9CkO0oLBfR3Jncd/7NB78Gh/Up4nk8kgW1ODp7/6\nVRwcOxZXPP00Ln/hBYzdsQO/v+MOnBowAEBnoUIFVOjJOyn4nJaleV5c8e2j+4CW5+30BUxAGUbv\npCv/a8kqlWZhiBVWUju5uPicc0CS4Ob9+/H9jRtRk81i86BB+O8LF6Khf39kUoSI5r4LiSFNmKS5\n2/J1DWr1YtpOq5cmlqRxSvW18lodDQse0XAO71x/PR69916c7t8fUzZtwjd+8ANM2rKl2CMzDMMw\nypQBLS348w0b8GcffICabBZPjx2L/3TxxThYW1vsoRl5UHJTHPD1gB4TxS1KtA4v59elxU35et5i\ntGPWLPz8T/8UNz/wAMZv3Yo7/+3f8M6VV+LVJUvQUlkpWpgkS5TkvqPj5fVofbrvPJqFyqxQhmGU\nI/6/HHLhaefDtDYlcnHp+XW5WKYka8f5jY34Xz/8EKObmnC6ogI/nD0bL4wde+66F2GpCVmh0qxM\nkvtRsx6lBaCnWbC0epr1KCYvNKZcrFNpZbRxaJTE03k0n//oQHxMVEhI0WWexwWJc65De6eGDsUj\n3/seLnn+eVz6wgu4+PXXcd7GjXjqttuwp+09RmnxT6HAcklQ0bKetIk1+1IMFP02DKP86aoo0uCu\nPd6G1KYW70TbS3MD0e/alhbcu3Urbt21CxkAG+vq8H/On489Awd2iH/i7YuuwIgyMfFIfC4p7Xqs\nCTlNiIXakspo49Tqh/JCYk+qp9XRtkGi6E/nxViZeD2pjCa+fHmf5uLLix664/i785IkQbayEm/d\ndBO2zZqFGx9+GMMOHMA9P/oRVi1ejGU33ogzNTVif/xH0EQVL8Pr03ya7ivCycMPeMMwyhvnXCfr\nU1cs6tL5IXTOiLFI+XIhC4nP4+eoSw8fxh9v3IjRTU1ocQ4PTpmCh6dORWsm06FuSPjwi3yu8Uia\nBUsTaCGRoQmftOD22DJpYihUj/92ofb57xj6DUtKRJU7+yZNwoN/8if41HPP4eJXXsGiN97AzLVr\n8fItt2D9/PnFHp5hGIZRAoxqasJ3t2zBVQcPAgA2DxqEv58zBx8PHmw3gr2Iorrz0p7O82X9tAch\nC0/0k3dsSgMpzV9A7Ou2v8alpgZv3nILNl5wAW74zW8wdscOfPahh7Bg+XK8dMst2DtuXPvYeDs+\nL/RUnjQHlGR16kvxT4BZoQyjtyCdyynd8T8PufU0yxNdx8tobp/alhbcuWMH7ti5EzXZLE5XVOBn\n552HxyZNQlawAPm2YqwmmguOXkO1PDpmKf7J50uxVNL28v0SY1FKK5NmWYupx/cp/+3S9p/0m5eU\nJcq5T0y3dD6oNLdcLhNrUledX+ehQeNpaf5Hp4Inm82iYcIEPPz972Pe22/jiqeewoRt2/D1H/4Q\nH5x/PpbdeCMODxvWKZCctufHqIkoHgNF91Nfc+MBhZm12DCM4sJFgSftplA658WcEyR3jURsoLl2\nQa7MZnHznj342rZtGNrcDAB4edQo3DdzJg7163fuusXaj4kPCrnX0spwUaEJIbptkkDSAtelujHt\nh8aZJqo1YeS/Y/ZpWrvSuDSKGhMliaeQRUmKdZLKcCuTRwoa54KJpnnwt2iZcg4bFi/G5gULcMkL\nL2Dh669j9tq1mLluHdYtWoTl116LI0OHdhBG3tJFx+TXSd90XH0VE1CGUf5ID/94pAsWPQfGTLwZ\nc9Gj46B1pLpSvBOvV5nNYsmBA7h761aMaWoCAHwweDB+PGMGNtTXd0lQpIkTKqCkvJh20kRHKJCc\ntx3bPm8nn3qhMWm/a0iESvVCx4an6JNtAp2frOPuPF+PCyKpjdAUB6FykntPmlBTm3m8ZcAAvPG5\nz+G9K67Apc8+izkrV+L8d97BvHffxYcXXIC3rr4aB8eMCU6oKT2dx7e3r2HiyTDKH3ox8jeSntCT\nxrGiiKKdM7SLrFZXusBTaltasHTfPty+YwdGnjkDANg+YAB+Nm0a3hg1Ci6TQUaoF+u6yzdAnJah\nQkSzJoUEk+T2ixVfIYHUXfViAtCl3zLttygpEdXbOV5fj+fuuANvX389LnnhBcx+913MWb0ac1av\nxrZp07By8WJ8PGsWkjxODoZhGEZxGXX6NG7dvRtL9+7FoJYWAMC2AQPwiylT8Nro0UiY0DF6NyU3\n2WZasLkv4/M9IXcereec6xCk3h4sLry+RcqjViIptsl/jo0ciefvugvLlyzBoldfxby338bkLVsw\necsWHB0yBGsvvhjrLroIxwYPDk5x0NeCxz3OdX7s2TCM8kLyIGgWoVxdd7H9a8QEmvvvimwWnzp0\nCLfs3YuLGxrgR7d+8GD8esoUrBgxAom3hgiupVgLSS7laBkpiJpbpHg7MXFMMdacfLanu+rFWqz4\nfpB+f6l9iZKZJypGWGnuP9o2Fz9SvBOPSfJlaRmeJ83vROvTnU3LnBw+HK9+8YtYfuONmPf227jg\nzTcxpKEBVz7/PK544QVsnzYNGxYswOa5c9HUNu1/X3v/HSXmoDUMo/SRzon0Be4U7Sm9QhASS3yc\nHUgSzD1+HNft24dr9u9H/dmzAIBm5/DKqFF4fNIkbGybrsA51z5pJu83Rpj48mkigJbjdXiZkBDJ\nxQ2YNgZJkKVtj9Z2jLjTxI0mhvh36PcIta9R9Jgo6c+jiSZNHPkyzjmxnhTvJFm+eBlplnEu2nw9\nKfDbnzySJMHZgQOx+rrrsOrqqzFx0ybMe+stTF23DpM3b8bkzZvR8uijeOvaa/HmkiV91gJl8U+G\nUf7MOX4ca+rrkSWWe3qOpxZ9n5YsT/mcA7WLniacOFUA5h05gsWHDuGKgwcxqi1QHDjnsntu3Di8\nOG4cjlZXA0Cq1cn3pV2kJaElXfBjgqxp/5oQkdrh4sPXl+rx9nlbIZEWI6K0cvw3y0UMSeXotkj7\nXxuDhMVE9TSZDLbPnIntM2ei9tQpTHvvPcxavRoTP/oIl7/wAvaNH48ts2YVe5SGYRg58dGgQZh7\n9Cj+bvVqNFRX452hQ7G6vh6rhwzBoVJ9uW6SYMLp01jY2IgL2z4D2+KcAOBgTQ1eGzUKL40ejc11\ndXAW72QwSi4mik6smebOS3vyTrI6SVMaOOfa56CiVqgOr30JuPhoO7lMrtk8cCDWL16MdZddhkue\nfx5XPPMM5q5a1SdFFL9bMAyjvPjfL7gAd338MS47eBAjzpzBTfv24aZ9+wAAe2trsWHwYGyoq8Om\ngQPx8cCBOF157vLD//fSZMO5otWta27G9BMnMOP4ccw5dgxzjh5td9N5tg8YgBUjRuDNESOwcciQ\n9oeAuNUp5EpKsxb5OjHWj5j4IOATV6nWVtrTeb4vqRzfxrTtk9qPtaLlYsGKrSdtT2js9Jsvc0oy\nJkqaoVwTVWlB42lzQNE4KZp2zqkzlvtyWtrvcG0uKGn+p4ZRo8710wenMjA3nmGUN845NPbreN+s\nCAAAGyZJREFUh3+ZOxf/nM1i8okTuLChAQsOH8a8I0cwpqkJY5qacP3+/e119tbWYseAAdjZvz/2\n9OuHvTU1OFhbi0PV1TheVZXXE8yZbBaDz57F8OZmjGxqwtgzZzD21ClMOHUKk06exLC2STAph6ur\nsba+HmuGDcOqYcOwv21iTL9dfhSSCGovE3lh9vVi3FG8LC3D3Wtp4iEUWB4aVy5iSNonsWKou+tx\nYZRvPYmSiImSBBKdoTzGEqUFjafFRPn2pYDxtMByLc3zpMk1pQk1+xoxB6hhGKWPP68nSQJXUYEd\ngwdje10dfjtlCjJJgknHjmH20aOYcewYph07hoknTrQLq081NHRqr9U5HKuqwonKSpyqrERTJoOz\nmQxanUMCwAGoTBJUt7aiJpvFgJYWDGppwcCzZxG6JTtdUYGPBw7ER3V12Dh4MDYMGYI9/frBkYsq\nn1WcIsU78W/pvNaVOKn/v70z6JEkt47wq50ZW707gleGYAOyjdE/0N2A/41+oE8+6KAfsqfFQoKk\nizGAvYPZkXrGhzV3X0dHPD6yqrqqeuO7dCaTZDKzujKjgo9k5aQo4TPqUO6RCiLvjOJj++Pvjhhi\n9697rzrCp/q8qvqxHYqLd+dVAikvD6OcKDWdQc6X95k7hRNrjn8SJnx2RNTYHtc/xOFPGbtPxtwu\nh8OBTpiJoQzj2Ndffhlff/ll/NcYpffxY/zLu3fxb99+G7/69tv41bt38U/v38cv37+Pf/zuu/j5\n3/4Wv/jwIX5BnKOKjxHx9tWr+O//d7X+cncXf7q7iz9+8UV88/p1/OXu7geH6wcRECFflvk5xV7u\nVboqW72kV7r4ch4sp+piQeRMHFVprO0dN6y6llOWw3uu2so+F/wMr1JEGWOM+Wlz/9ln8c3r1/HN\n69fUjX/58WP8/MOH+OKvf43P7+/j7+/v4+8+fowXnz7FIb4XS/effRYfDod4/+JFvHv5Mv731av4\nn5cv45OYY6rzQjRmlatYO2+WpmKk1JxQyp06HA6P8qiuvewiDRdKTa6J+1Wc1E91+RbETpQxtwf+\nWsdnZA5diHg8/xMKGZzuYKTdv3gRb+/u4u3d3XobyXnUNWTQOcK8VVcQq6fjkuQyp3J8WD7cz2ms\nC66b1ml7pw2rThQrh/e104bO+fJnyrjq7jwWbB7Bu+WUsMpf0iHEWPd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/segmentation_3_snakes_levelset/exo2" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mean Curvature Motion.\n", "----------------------\n", "The mean curvature motion corresponds to the minimizing flow of the\n", "length of the curve\n", "$$ \\int_0^1 \\norm{\\ga'(s)} d s. $$\n", "\n", "\n", "\n", "It is implemeted in a level set formalism by a familly $\\phi_t$ of\n", "level set function parameterized by an artificial time $t \\geq 0$, that\n", "satisfies the following PDE\n", "$$ \\pd{\\phi_t}{t} = -G(\\phi_t)\n", " \\qwhereq G(\\phi) = -\\norm{\\nabla \\phi} \\text{div}\n", " \\pa{ \\frac{\\nabla \\phi}{\\norm{\\nabla \\phi}} } $$\n", "and where $\\nabla \\phi_t(x) \\in \\RR^2$ is the spacial gradient.\n", "\n", "\n", "This flow is computed using a gradient descent\n", "$\\phi^{(0)} = \\phi_0$ and\n", "$$ \\phi^{(\\ell+1)} = \\phi^{(\\ell)} - \\tau G(\\phi^{(\\ell)}), $$\n", "where $\\tau>0$ is small enough time step.\n", "\n", "\n", "Maximum time of the evolution $0 \\leq t \\leq t_{\\max}$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Tmax = 200" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Time step $\\tau>0$ (should be small)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tau = .5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Number of iterations." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "niter = int(Tmax/tau)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initial shape $\\phi^{(0)}$ at $t=0$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi = np.copy(phi0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now compute the right hand side of the evolution equation.\n", "\n", "\n", "Compute the gradient $\\nabla \\phi$. We use centered differences for the discretization of the gradient." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from nt_toolbox.grad import *\n", "g0 = grad(phi, order=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Norm $\\norm{\\nabla \\phi}$ of the gradient." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "eps = np.finfo(float).eps\n", "d = np.maximum(eps*np.ones([n,n]), np.sqrt(np.sum(g0**2, 2)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Normalized gradient." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "g = g0/np.repeat(d[:,:,np.newaxis], 2, 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The curvature term." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from nt_toolbox.div import *\n", "K = - d*div(g[:,:,0], g[:,:,1], order=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perform one step of the gradient descent." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi = phi - tau*K" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 3__\n", "\n", "Implement the mean curvature motion." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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4+K23EGtrw4WRI7Hu2WdRW1KiqmPce+TjkGRvrQxvj+bxz1KeNL8uc7F8H8XD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q8U7a23hA+8ByTrT4Eh/HMuMM0p+GoXFR5l40B41/ufvGRLnIlzknLftRkkGJFl2il/DVRXx8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/segmentation_3_snakes_levelset/exo3" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Levelset Re-distancing\n", "----------------------\n", "During PDE resolution, a level set function $\\phi$ might become\n", "ill-conditionned, so that the zero crossing is not sharp enough.\n", "The quality of the level set function is restored by computing the\n", "signed distance function to the zero level set.\n", "\n", "\n", "\n", "This corresponds to first extracting the zero level set\n", "$$ \\Cc = \\enscond{x \\in \\RR^2 }{\\phi(x)=0}, $$\n", "and then solving the following eikonal equation PDE on $\\tilde \\phi$\n", "(in viscosity sense)\n", "$$ \\norm{\\nabla \\tilde \\phi(x)} = 1\n", " \\qandq \\forall y \\in \\Cc, \\tilde\\phi(y)=0. $$\n", "The one can replace $\\phi$ by $\\text{sign}(\\phi(x))\\tilde \\phi(x)$\n", "which is the signed distance function to $\\Cc$.\n", "\n", "\n", "We set $\\phi=\\phi_0^3$ so that they are both valid level set function\n", "of the same curve, but $\\phi$ is not the signed distance function." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi = phi0**3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the eikonal PDE using the Fast Marching algorithm. You have to install a C++ compiler (https://wiki.python.org/moin/WindowsCompilers#Microsoft_Visual_C.2B-.2B-_14.0_standalone:_Visual_C.2B-.2B-_Build_Tools_2015_.28x86.2C_x64.2C_ARM.29) and the package scikit-fmm (skfmm) to run this function (pip install scikit_fmm in the console)." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "ename": "ImportError", "evalue": "No module named 'skfmm'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m/Users/gabrielpeyre/Dropbox/github/numerical-tours/python/nt_solutions/segmentation_3_snakes_levelset/exo3.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mnt_toolbox\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mperform_redistancing\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mphi1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mperform_redistancing\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mphi0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Users/gabrielpeyre/Dropbox/github/numerical-tours/python/nt_toolbox/perform_redistancing.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mnt_toolbox\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mperform_fast_marching\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mperform_redistancing\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mD\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Users/gabrielpeyre/Dropbox/github/numerical-tours/python/nt_toolbox/perform_fast_marching.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mskfmm\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mfmm\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mperform_fast_marching\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mD\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mstart_points\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \"\"\"\n", "\u001b[0;31mImportError\u001b[0m: No module named 'skfmm'" ] } ], "source": [ "from nt_toolbox.perform_redistancing import *\n", "phi1 = perform_redistancing(phi0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the level sets." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9BiUxnUdvflcHJLfpf5cRkstNXUrEqVgkzdbvcJMsOjLUybhM83HOKS5ZMsFEpOS2BL2Z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\nPForl4qdksZXro/SjapFFMb2bti1C6POnMHekSPRcvnlqGHqlSuGLNO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WFty9cWO1u+RU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\n0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,5))\n", "\n", "plt.subplot(1,2,1)\n", "plot_levelset(phi)\n", "plt.title(\"Before redistancing\")\n", "\n", "plt.subplot(1,2,2)\n", "plot_levelset(phi1)\n", "plt.title(\"After redistancing\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Edge-based Segmentation with Geodesic Active Contour\n", "----------------------------------------------------\n", "Geodesic active contours compute loval minimum of a weighted geodesic\n", "distance that attract the curve toward the features of the background\n", "image.\n", "\n", "\n", "_Note:_ these active contours should not be confounded with the geodesic shortest paths,\n", "that are globally minimizing geodesics between two points.\n", "Here the active contour is a close curve progressively decreasing a\n", "weighted geodesic length that is only a local minimum\n", "(the global minimum would be a single point).\n", "\n", "\n", "Size of the image." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = 200" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we load an image $f_0 \\in \\RR^{n \\times n}$ to segment." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [], "source": [ "f0 = rescale(load_image(\"nt_toolbox/data/cortex.bmp\", n))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given a background image $f_0$ to segment, one needs to compute\n", "an edge-stopping function $W$.\n", "It should be small in area of high gradient, and high in area of large gradient.\n", "\n", "\n", "We use here\n", "$$ W(x) = \\al + \\frac{\\be}{\\epsilon + d(x) }\n", " \\qwhereq d = \\norm{\\nabla f_0} \\star h_a, $$\n", "and where $h_a$ is a blurring kernel of size $a>0$.\n", "\n", "\n", "Compute the magnitude of the gradient $d_0(x) = \\norm{\\nabla f_0(x)}$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "g = grad(f0, order=2)\n", "d0 = np.sqrt(np.sum(g**2, 2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Blur size $a$." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "a = 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the blurring $d = d_0 \\star h_a$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [], "source": [ "from nt_toolbox.perform_blurring import *\n", "d = perform_blurring(d0, np.asarray([a]),bound=\"per\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Parameter $\\epsilon>0$." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [], "source": [ "epsilon = 1e-1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We set the $\\al$ and $\\be$ parameters to adjust the overall values of $W$\n", "(equivalently we use the function rescale)." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [], "source": [ "W = 1./(epsilon + d)\n", "W = rescale(-d, 0.1, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GBq5fv45isSjrzO9E8TXNO2KqLhKJyGZSpwF1Oks/5PnQfzMP+XHOiv93f2ua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\nq1B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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,5))\n", "imageplot(f0, \"Image to segment\", [1,2,1])\n", "imageplot(W, \"Weight\", [1,2,2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 4__\n", "\n", "Compute an initial shape $\\phi_0$ at time $t=0$,\n", "for instance a centered square." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [], "source": [ "run -i nt_solutions/segmentation_3_snakes_levelset/exo4" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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S0G5ubkp19ujRozh69CheffVVY833O6zBe5/Am/XAgQNoNBqSX6nX65Lvcl0X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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plot_levelset(phi0, 0, f0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The geodesic active contour minimizes a weighted length of curve\n", "$$ \\umin{\\ga} \\int_0^1 \\norm{\\ga'(s)} W(\\ga(s)) d s $$\n", "\n", "\n", "The level set implementation of the gradient descent of this energy reads\n", "$$ \\pd{\\phi_t}{t} = G(\\phi_t)\n", " \\qwhereq G(\\phi) = -\\norm{\\nabla \\phi} \\text{div}\\pa{\n", " W \\frac{\\nabla \\phi}{\\norm{\\nabla \\phi}}\n", " } $$\n", "\n", "\n", "This is implemented using a gradient descent scheme.\n", "$$ \\phi^{(\\ell+1)} = \\phi^{(\\ell)} - \\tau G(\\phi^{(\\ell)}), $$\n", "where $\\tau>0$ is small enough.\n", "\n", "\n", "Gradient step size $\\tau>0$." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tau = .4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Final time and number of iteration of the algorithm." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Tmax = 1500\n", "niter = int(Tmax/tau)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initial distance function $\\phi^{(0)}=\\phi_0$." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi = np.copy(phi0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we can re-write the gradient of the energy as\n", "$$ G(\\phi) = -W \\norm{\\nabla \\phi} \\text{div} \\pa{ \\frac{\\nabla \\phi}{\\norm{\\nabla \\phi}} } - \\dotp{\\nabla W}{\\nabla \\phi} $$\n", "\n", "\n", "Pre-compute once for all $\\nabla W$." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gW = grad(W, order=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 5__\n", "\n", "Compute and store in G the gradient $G(\\phi)$ (right hand side of the PDE)\n", "using the current value of the distance function $\\phi$." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [], "source": [ "run -i nt_solutions/segmentation_3_snakes_levelset/exo5" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do the descent step." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi = phi - tau*G" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once in a while (e.g. every 30 iterations), perform re-distancing of $\\phi$." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi = perform_redistancing(phi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 6__\n", "\n", "Implement the geodesic active contours gradient descent.\n", "Do not forget to do the re-distancing." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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gDLjVeP0fcYy1HSvGEwgEtMSB9JuTMHFXNsuHgPcD3UvHNyIRpm+6iYeHh3mo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\nq5w4ccIiQ0qW9g1QJUTnGyvn83le97rX2fZkvV7n3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ltvBTCGfe1rXwMIMEzPshgmfgHG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q9kKQc5ZjJRIJ8vm8zgKUFWIkEtGtxsePH6darWrfFTlfaWxnbIxlpq59otGoXhuuw2QzhjhM\nbp27DpPr7GIdJs4Qh7lzBd3b725rllAopK8hDnNdIg4Tf8l5QbBNjTjMzf6vnXm33vlfCn/JscRf\n4LeWcP0F/u8G8Zc8P5FIqL/Wvi/jxdhtvlcp8Xg8MC1c/i9yGB4eZvPmzSSTSZVCo9FgaWlJizTr\n9Tq1Wi1wG2wj1spG/vxycJvydTodyuXyZS1ivBCBSZo9mUySTCYDtV3SPFCo1WpUq1WWl5f19mSx\nWCQej2vjVfDT5VaceWFYMHV94TrM7U0UjUYZHh4GCDhMghZxmPgLuCiHuf6C3hwm/gJeEYe91PHl\nM5UgThy2kb/k3MVfsNo82vx14Vgw9SomGo3q/XoIDkmWjsHZbFYfIxeYu6orl8vUajW9D34hDd0u\nJZL1eiULGSORiAadsVgsMIwZ/JWc/LtbcFqr1QLFs91uN7DlO5lMsnnzZkqlkn6O6231Nl6MBVPX\nH+s5zJ3aIA5zM9XiC1nIiMOulL/cc7rcyOtJgfpG/gJ0048EnrKBSfwljxF/AfpZmr8uHAumrhFy\nuZxulQU/SyKpaJHV0NBQILUrtwsTiYSmdwuFApFIhE6no4XkEnDJai4WiwVGyoC/SqvVaoFVjBSb\ny2NkO7N7oXueR6fToVQqBW6tuQWa8vdGo7Har2VlV467Io1Go4Fjp9NpFY0EPLVajUwmo8X8cr5u\noCTSqVarumIOhUK0Wq3zrmLl8xwYGNBp9cbFY8HU9Yv0vhOHiXtch8nkBnGYO8JEHCZ94VyHuQGX\nzJBz58bJLT657sUJbrF5OBwOzD4Vz4i/AHWYPEYcJv4C1GHiL3mP7jHl/+IveX8yokfclclkAv4C\nP1BySybEYeIvOH8mLhKJqL/kOMbFYQXohmEYhmEYlwHLTL0K6evrC/SLkq3HQjQaZWBgQFc2bt2A\nSzabDTSVjEajdDodzQrJyq5UKumxAL1V6BaYdjodXQVKIeT5+qd0u11dCboF7IJ0KJdzaLfbOpAY\n/FtsMoldVnYDAwNEIhFarVagxsu9HTo3N8f09PTLVLfBfQAAIABJREFUTtG7/WE8z2N6Zf6WcfFY\nZsoQh0nWxnWYe127g4HPh+sw95Z9pVIJZKZch7lb/t2slzhM/CXnsraHnTjMPS85d7dDeaVSUX/J\n8cVfsDqFQvwFqMPEX/K1S+Ev+bzMX71ht/muMVzhSANOEVOlUqHb7QY6oEtXXRFAMpkkGo0SiUR0\nh83Q0FCgG3gmk9GGdHJhS+rdvc3WbDYDzT9jsVhgzAH4Qmg2m1rwLV9bW1C6NjUt/VzcWoFQKKT/\nwaoo3PEOoVCImZkZHZ9zoYWr4AtH0u7Sw8btOPxyC1kNHwumDFhd9AEBh4l/xGFrJxuEQiFdTLoO\nk9uD4jDxF6AOc8sfxGESoIjDXH/B6sJMHicOc4Md97Eubj8qOaZ4SxzmvpY4TPwF/kLwYv0FfsDq\n+gv824Hmr96wYOoaRsYRiByk9kkuwAv9HqdSKfr7+/U4yWSSRCKhO0LAD5RktSgrPM/zAis3qVdw\nC0zT6TTZbJZWq6WPk+eLGOv1OgsLC0SjUf3a4uJiYARNtVolHA6TzWYDUpTdQm5Gq1AovKSEpPbB\nbToaCoU0mPI8T5v7WRfgS4MFU8ZaXIe5tU+tVuui/AWow8Rfcqxqtar+AtRhsgNYHCb+AtRh4i/5\nmruZB1D/yHw7eX3xF6zWe0lmShzm+k4cJv6S11sPt/5UHCZf6+vrC/gLrJP5pcCCqesA9yISGYAf\nkLiddWH97IrbNRxWiyvd3iNr0+Vrtw7L491t0NlsloGBAarVqp6LdBJ2C96bzWagS3FxzQDS9XA7\noq+HSNL9bCA4riYUClGv1/VY4XDYBHSJsWDKWA93ISPXqesvecxG2RXXYe5YFHHY2pKFte1b3MeK\nw8RfgDpMFoXiMLdkQhx2Mf6CjYMdN8hbz2HiLzmW+evSYwXohmEYhmEYlwHLTF2DeJ4X6DtVr9ep\nVqt6Ow5W+yIlk0ld5Z1v0vkriaxKu93uuiu6C2lo5x5PUt+yanQzbNJy4WKOafSOZaaMjZCskjhM\n/CX/5s7qhFWHXS3+AtZ12MX6C/z2MBv562KPa/SG3ea7DpEUt/w5Go0GLkbZteIWhLu34TzP02BD\nBNfpdDT4cu/Xy0Bk+brUBrhjFmSnijtFXV4bfGmk0+nAxPVwOEy32w2MvJGeLm7jUiksdW8HuLuF\nKpWKpbuvEiyYMi4Ut5cTsKHD5NoX14i/YHXor+svWK2ZBNRh4i85fjKZDHhRHLa2T5X4C1CHib/c\nc3D76klNlhzDfR/ujm3z19WDBVNGoBZKcAOaWCxGJBIJBGHtdpt4PK5fkx0v7lRzaRQnWaBwOKyz\n6+RrjUaDer1OMpkM1Ey5RaISzLkT4OUcRICdTkebdsrqVKbBS2sH8LNxa1ssGFcHFkwZL5eNHCbO\ncB0m1704zN11LA6TRaE4TPwlj4nH4+ovQB0mNVPiMPEXEHCYnIMEcm7Tzkajof6Sr3U6HfUXoAXp\nxtWB1UwZhmEYhmFcBiwzZQRw095yHz4cDuuKsNls6m03d6iw7CSRY8jPlXss6REj/ya7TdymeXJ8\nOZabThfWDjN2+06525zb7bbVEVyFWGbKuJyIw9w6Ivm7+AVWb7u5ZQfiEdcb7nPl+N1uN7DjVxoX\ny9fkWBv5a+1ryrHlVqBko8xhVxd2m88wjKsCC6YMw3i1Yrf5DMMwDMMwLgMWTBmGYRiGYfSABVOG\nYRiGYRg9YMGUYRiGYRhGD1gwZRiGYRiG0QMWTBmGYRiGYfSABVOGYRiGYRg9YMGUYRiGYRhGD1gw\nZRiGYRiG0QNXrAO6YRiGYRjGtYBlpgzDMAzDMHrAginDMAzDMIwesGDKMAzDMAyjByyYMgzDMAzD\n6AELpgzDMAzDMHrAginDMAzDMIwesGDKMAzDMAyjByyYMgzDMAzD6AELpgzDMAzDMHrAginDMAzD\nMIwesGDKMAzDMAyjByyYMgzDMAzD6AELpgzDMAzDMHrAginDMAzDMIwesGDKMAzDMAyjByyYMgzD\nMAzD6AELpgzDMAzDMHrAginDMAzDMIwesGDKMAzDMAyjByyYMgzDMAzD6AELpgzDMAzDMHrAginD\nMAzDMIwesGDKMAzDMAyjByyYMgzDMAzD6AELpgzDMAzDMHrAginDMAzDMIwesGDKMAzDMAyjByyY\nMgzDMAzD6AELpgzDMAzDMHrAginDMAzDMIwesGDKMAzDMAyjByyYMgzDMAzD6AELpgzDMAzDMHrA\nginDMAzDMIwesGDKMAzDMAyjByyYMgzDMAzD6AELpgzDMAzDMHrAginDMAzDMIwesGDKMAzDMAyj\nByyYMgzDMAzD6AELpgzDMAzDMHrAginDMAzDMIwesGDKMAzDMAyjByyYMgzDMAzD6AELpgzDMAzD\nMHrAginDMAzDMIwesGDKMAzDMAyjByyYMgzDMAzD6AELpgzDMAzDMHrAginDMAzDMIweiFypF/Y8\nr3ulXtswjCtHt9v1rvQ5XArMYYZx/bGevywzZRiGYRiG0QMWTBmGYRiGYfSABVOGYRiGYRg9YMGU\nYRiGYRhGD1gwZRiGYRiG0QMWTBmGYRiGYfSABVOGYRiGYRg9YMGUYRiGYRhGD1gwZRiGYRiG0QMW\nTBmGYRiGYfSABVOGYRiGYRg9YMGUYRiGYRhGD1gwZRiGYRiG0QORK30CxtVPKLQac3ve6sDsbrcL\nQKfTuWSv5XkekUiEcDisX4vFYsRiMf1zt9ulXC5Tq9UAaDabei6GYRhrEYe5/gLfYZfaX0DAYa67\nxF+AOsz8dW1gmSnDMAzDMIwesMyUESAUCukqLh6Pk0wmiUQiunqLx+OEw2EikQjNZhOA5eVlOp0O\njUYDQDNGnU6HRCIBQDqdftHqMBQKEYms/gjWajUSiQTDw8Nks1l9bDQa1efE43Ha7TaVSoVqtQrA\n1NQUhUKBRqOh5yTnYhjG9YU4TPwFqMPEX/K1ZrPJ8vIygDpM/CVfSyQSAX+B7yX5uzhM/AWow8Rf\n8hzxF6AOE38B6jDz16sP70qlFz3Ps7zmVUA0GlUZ9PX1kUqlVDYDAwOk02mq1aqKI5lM0mw2yWQy\nxONxAOr1Ou12W6VUKpWo1Wp0u13y+TwA+XyeRCJBOBzW44dCIbrdrgZFjUaDaDRKPB7X4EnS4EI4\nHKbdbpNIJOjr6wP823zFYpHl5WUWFhYAmJmZoVwuq5TcYxhXlm636730o65+zGFXB+Iw8YE4TPwF\nqMPEX4A6rF6vA6jDxF+AOkz8BajDxIniMPEXoA5bz1+AOkz8BajDxF9AYJFoXHnW85cFU9cp6XSa\nTZs2MTw8rFmnVCrF8PCwCkFqk0qlkt7T9zyP+fl5Go0GuVwO8IMuWK1LSKfTxONxut0urVZLnxcK\nhajVaioT8IMlCZwymQz1ep2FhQXm5ub03wENwKSmKpPJqDzT6TR9fX309fXpeRYKBc6ePcvi4iLg\nC2l6eloDPuPKYcGU0SsSJLkOS6VSAOow8RegDhN/Aeow8Rf4DhN/AeowNxO1nsPEX4A6zM1yhcNh\n9RegDhN/Aeow8RfA4uKi+esqwoKp65xQKMSWLVsYHR0F/NR0Npsll8sFxOB5nmZzZmZmmJub04AI\noNVqEYlEqNfrGgQNDAwEhFSr1chkMiSTSSqVCuCv+orFItPT0yqqbDYbWKl1Oh1Nx4uEEokEiURC\n/16pVPT85HnxeJyhoSESiQSDg4MAjI2NkUgkdEVXLBY5ceIEU1NTeqxisagrQuOVw4Ip42KRQEYc\nJgHJRg4TfwHqMPEXoA4Td8n/xV+AOkz8BajDpBRBHCb+AtRh4i85rusv8B0m/gLUYeIvWM28i7/k\nWOavK8N6/rICdMMwDMMwjB6wzNQ1jBRfjoyMMDo6yvDwsK52XGSltLCwwKlTpwKp5HA4TCwWe1EW\nCPzUOfjZolAopCnuubk5rVno7+8HIJfL0Wq1qFarukpst9vEYjF9/XK5TCwWC6zmkskkoVBItxfX\najUWFxcpl8tMT0/rOUpmSm4H9vX1sWXLFnbs2AH4q86ZmRlmZ2d1NTc3N8fMzAzz8/Nat2Vcfiwz\nZVwoyWRS/QVs6DCpl3Qd5rYnWJsFAt9hkj0Xh4m/AHWY+AtQh4kTxWHiL1jNqIu/5HHiL0AdJv6S\n54XDYfUXwI4dOwL+Aj+rLv4CzGGvIHab7zoiHA4zODioF+P27dtVQHKxt9ttFhcXWVpa0ou9Xq+z\nvLwc6N8kxxNxhMNh4vE40WhUH7ewsEC1Wg2IpNlsUiqVtAB9ZGSEbrdLt9vVIKxWq5FKpTQ13mq1\n9Bag1DpUq1UikYjKtNVqMT8/Tzgc1vOToEzOD6C/vz/QU2bXrl3s3buXZDKp72VhYYGpqSleeOEF\njh07BqwGiMblw4IpYyPkGhaHuf4CAos712GymBOHna/wW/wFqMMkCBOHueUB4jDxF6AOE/+Jw1x/\nge8w8RfA6Oio+kvOqdlsBvwlX9/IX+A7T/wFqMPMX5cfC6auA6RwfGxsjNHRUUZGRgB/ddXtdllc\nXNSsTLFYpFwuU6/XVV5StClSarVaNBoN2u22XsTxeJxms0kkEtHXq9fr1Ot1Fcng4CC1Wo3p6WmV\noARgfX19WvAeCoXodDoqs0qlQl9fH5lMRmVZLBYDtQjtdptSqaTbjOW8O50OpVJJ38vo6ChDQ0Mq\nrkKhQF9fH4ODg2zduhWA8fFxstksc3NzPProowAcPXqUxcXFS9rIzwhiwZSxHtFolLGxMQB1mPgL\nUIeJx1yHuRtn6vW6+gtQh4m/AHWY+E4cJv4C1GHiL0AdJotQcZj4C1CHib/k9cRfsNoqQfwFqMPE\nX+BnnVx/AWzdulX9BajDxF9yXsalx2qmDMMwDMMwLgOWmbpGyOfzbN++HfC3C2/atElXSVNTU5w4\ncYJaraarsE6nQzKZxPM8vdcuaWfJ+AwNDdFqtVheXtZVWSQS0WZz8rh4PE6hUNDVotz3d9PXsViM\nbDZLt9vVbJGk3d3bfrlcjpGRET33Wq3G8vKyprzT6TThcJj5+Xl9L+Cv6Nb2YhkdHQ3sMmw2mxQK\nBV2xJZNJtm/fzmte8xp9zNGjRzl48CAnTpzQz8m4tFhmyjgf4rBNmzYBqMPEX4A6zL2GxWGSlRaH\nib8AdZj4C1CHicfEYW7tpThM/AWow9zSB7ntJ+1ixGHiL/AzUeIvIOAwcaDrMCltEIeJv2DV3+J8\ncZj4C+DEiRPmr8uA3ea7xnAbbW7atIkdO3ZojVS322VqakqDlmKxSLvdpq+vT583OzuropELWFoc\nuDVMy8vLgQtcLs5msxl4vhRCrkVu8w0ODjIwMMD8/Lze59/ovUnPGEmly3H6+/sDgaK8l2KxSDab\nVTGeOHGCQqGgx0mn06TTaWKxmJ53sVikVCoxNDTETTfdBMDOnTspFAocOnQIgMnJSRYXF1leXrb5\nWZcIC6YMINBo03WYXGfiMPEXoA6TQmzXQW6LA6lhkkBGHOYGF+Iw+beNHCb+Ai7KYW7X9EQiof6S\n9wIENsWIw8Rf4Ndkuf6S9y3+AtRh4i+AQ4cOBfwFmMMuARZMXUPEYjH27NkD+PVRUoskwjlx4gRn\nzpxRSfT39+tOErfbeCKRYGBgQC/QUChEpVLRi7FcLqus5OdE+qm02+1As01p0inHduuiwJdLtVoN\nZLQ6nQ7dbjcw1Fhey+3FIlkxec7AwAA33HCDPm9mZoZKpaKfA6xmy0QiUj8RiUR0h2EmkyGRSNDp\ndFRmg4OD7N69Wwvnl5aWOH78OC+88ILWdrmN+IyLx4IpQxwm9VGuwyQLJQ4TfwHqMPGD6zBxjTjM\n9Rf4XhF/Aeow6SklDnP9Batjr8Sd4jB5zEs57Hz+AtRh4i/3cxB/gZ9Vc/0FvtPFX3LcYrGo/gI/\n0+f6C/xNN+av3rBg6hohnU5z4403ajAF/sqm0WjoBSmtCiRAcFPIbhGlSEhSzYVCgdnZWf17LBYj\nEonQaDRUSul0Wldde/fuBWDz5s1MTU0xOTkJrAZT5XI5kAqvVCrE43HNFs3Ozr5IRJ7n4XmeBoKx\nWExH2sBqt2EZRQN+oCSiFCSokmNnMhk6nQ6tVkulKy0XhoaGNMBbXl6m0Wiwc+dOAPbt20csFuPc\nuXMcP34cgOPHjzM3Nxd4PePCsWDq+kU6l2/kMLdVgZt9gVWHyfXtOkyCD3GY+AtQh4m/AHXY5s2b\nAdRhbjAlDhN/AeowyY65DpMFpjhM/AV+EOZOfBCHib+AQAZOCIfDAX/Jc92WMeIw8Rf4WXbXX+C7\nS/zlvp5x4VgBumEYhmEYxmXAMlOvEiQ1vH//fm666SZdCZ0+fZrjx49Tq9V022wkEmFhYUEzRZ1O\nh5GRESKRiKZ4Zb7d/Px8oCC83W5r5kiKNdvttq6c5Hmjo6Na9DgzM8PTTz8daBrneR7tdlvrA+Lx\nuA7slIyZW0DuItkpeb1YLKbHjkaj5HI5Go1GYMUqNRJrp62vPU4+n9f3V6vVdHUp5ynbkWV7cS6X\nY9++fYyNjWn26syZMzzxxBMcO3ZMV6vGhWOZqeuTgYEB9u/fD6AOO336NEDAYZI5EoeJvwB1mDvf\nThwmWRZxmFtsLg4TfwHqMKmVch0m3hCHib9gdbzLev6S58scPskeVatV9RcQcJhbp3o+h7n+Aj+r\n5voLfIe5DUkXFxcD/gLfw+IvwBz2MrDbfK9iBgYGuOOOOwC/G26n09EhmEtLS5r6lYvw9OnTLC0t\naQC2b98+Nm/ezNmzZ/UiWm8KeTqdDkjjfIRCITKZjP77Rp13JQAZHR2lXq8zMzPT8w6TZDIZqBeI\nxWKEw2EajYYGapVKZd3aAJHZ+Pg4jUaDc+fO6XvI5XJs375db4dKzdXIyIje1ty2bRv1ep0nnniC\nL3/5ywA2I+sisGDq+kMcJhMJxGFLS0sAAYdJgCUOE38B6rD13ASrDtvIX4A67KU6h8fjcfUX0LPD\npGefOEz8BajDNvIX+J4SfwHqMPEX+AtP118Ae/fuVX8B6jDz14VjwdSrlIGBAV7/+tdzww036Nfm\n5uY0mOp0OlpTJIWbstNEtvLu2LGDSCTCiRMnVF6CZHQuFrdm6UJ+huLxOMlkkkKhcEl2lLgT2s8n\nTSlIlcec7zWj0ahm7ESo8/PzRCIRlX4ul6NarVIulzUI27t3L7t376ZWq/H0008D8Oijj2o2y9gY\nC6auLzZymAQlrsPcnXLZbFb9BVwWh12Mv4BL7rCN/AV+Bn8jf8HqBh/xF/jed/0Fvs/EX4A6zPx1\n4aznr8grfSLGhZNIJNi5cyfbt2/XC+vcuXOUy2X9e7FYZGpqiuXlZb1dJ2lhCRBOnjypoxPcnSVu\ne4OL5WJXZp7nEY1G8TzvkoioXC5veJy1qXIg0LEY/Pd/7tw5+vv79dZfMpmkVCpx6tQpfU40GiUc\nDusq7+TJk9RqNYaGhrSI1vM8HnvsMf0eGMb1jmSOXYdJIbQ4TDIirsPcW/PValX9BVwxh4m/5M+X\n22Eb+Qv8cxd/Aeow8Rf4Mwpdf4GfaRd/Aeow8RdgDnuZWAG6YRiGYRhGD1hm6ipEVnS7du1iz549\nxONxva0nW3clbSsN7dy+T91uN5A6lq250lNJnvdK0mw2L2k33pezMux0OlqjAH7LCGnhIKu+eDyu\nM7TAzwQmk0mi0aim+ev1OgsLC7TbbZ3zt2/fPrrdLo8//jhgqzvj+iaRSLBr1y6AgMPc9inlclk9\n5DpMrm1xmPhLjuv2hXuluNT+got3mPgL/NuA4i9YzfSJv8D/TF1/gZ95F3/JY7Zu3ar+Anj88cfN\nXy8DC6auMqLRqBYQHjhwgO3bt+tkdPDTtIVCIVA0GYvFAsOB5XaUUCqVyGQyJJNJ7S/ySiMN8a50\nB95araYpbilUdTslg1/LIAIvl8uUy+XAJHkZ9ByPxzXNvmnTpsAuy0ceeeRFtR2GcT0gDjtw4ABA\nwGFynW3ksPX8BVwxh7lNia+kw8RdtVotsFnIdZh8Vul0OuAv8N0l/gLUYeIv8Ptamb8uHgumrjKG\nh4e5+eab9c8zMzNMTk7qhTIzM8P8/Lxuge3r69OGdevtSmm1WoG5VVeCdDrN4OAghUJh3UZx56tF\nuFT1Ceej1WqRSqWoVCqBGoVKpRIInGKxmE6AB3+XUSwWI5FI6Gc+MTHBjh07tNlnvV7nK1/5yobb\npw3jWkQcNjw8DBBwmLQhEIdJc8qNHOb6C66Mw8RfwLoOu1L+AgIOk1YHEjiJv8C/IyH+AtRh4i/w\na9zMXxeP1UwZhmEYhmH0gGWmrhLC4TBbtmzhrrvu0sZsp0+fZmJigvn5eV2xFYtFotGorizK5TLz\n8/MvuVqTJnJuXVUvyHFe6liyokyn07qrRFZJ0WiUVqulvaii0ajeCpR7/NFolHK5rKuuTqdzyWoX\n6vU64XCYdDodSGm7u4OkF4y7Qmu1WrzwwgsUi0UdLg3+Lj85z5GREW677TaeeeaZl+xjYxivduQ6\ndx0m/aJch0l2VxwmtZ8v5TB3TMulyvZcqAvFEeIkcZj8XRwm/pJjRqNR9Resjtm61P4CAg67UH8B\nAYedPHlSz9P1F2zcS9DwsWDqKmH79u3cfvvtjIyMaB3O4cOHWVhYYGlpSUWTSqXIZrOB2gMgEKSc\nj6WlJb3g4fxbby+GaDQa6Di8XnAljymXy2SzWfr7+1WorVYLz/P0XGq1GuFwmEgkosKRHisSPF7q\nQtC1t/gikQjhcPhFndPX3mrodDrMzs5qmn337t0sLi4yMTEB+JsHpGbkG9/4hr5fw7gWkTpP12GH\nDx8GCDhMrhdxmPgLNnaYBArisF79BasOk9dcL7hqt9vqL0AdJtezOEz8BajD3B5RsVjssvgLVn0u\n/pLzcv0Fq0GvnIM4TPwFfvDr+gt8h5m/NsaCqSuMrApe//rX09/fz7lz5zh69CjgZ6aazSaJREIL\norvdLsViUVc7cGH35VutViAg6HV112q1AlJYe6xoNEoikVB5ptNpFhcXA8OPJVPlHicWiwUGejYa\njcs+jNOVRLvdDpx3o9Gg2+2STqf1cXNzc8RiMTzP48yZMwA6pkakf/r0abLZLLfeeqsGjwcPHrys\n78MwrgRbtmzh9a9/PUDAYZKZch0mnrhYh8m1Jw67FBn2jRwmi05xgfgLVocfu5kqOY4s+sRhr4S/\n5L3Aqr/AX3i7/pLHib8AdZg7ZmtpaSngL/C/X+avjbEO6FeQwcFBvv3bvx3wR5RMTExw7NgxzW7U\najVyuRzxeFwzU5VKhVKpdMV3xcHqqJjBwUGazaaujpLJJMlkklarFRjvIpPUXVyJep5HMpkkEolo\n5k3+TW59ep4XGKFzOfA8T4tNpWVCf3+//vvc3ByNRkNlJee5efNmlRT43YZ37dql7/nhhx/WrOP1\njHVAv3YQh23btg0g4DDZeeY6TDIpV5PD5FoXh4m/AHWY+Ese5yIOE38B6jD3PebzefWXHPtyIOc5\nODi4ob8gGHDJyB5xmPgL/Pds/vJZz19WgG4YhmEYhtEDdpvvChEOh9m1a5fWGhQKBaamppicnNSV\nTzab1TEmssJptVraIwR62yYcCoVe1lgYKcaU7JE04hMupqGeu3LrdrvUajWSySSbNm0C/FWSe4tt\ncXExMFbhctDtdrVpXTqdZtOmTYE+U7lcTler8r3odDqBLce5XI7BwUHC4bDeDti1axcLCwsbDjA1\njFcDUi4gDpPaJ9dhUmPkOkyuY7luem1zcLEOE3/B6iDgXvwFBIrO5doWh4m/wHf3K+Uv8Iv6XX+B\n/3mLvwB1mPgLfOe6/gL/szJ/bYwFU1eIVCpFPp/XgOTo0aMcPXqUYrGoEkomk1QqlUAA5XneJbsH\nH4vF1h2iuRYJCJrNps5+chkfH2fv3r2Af99+cXGR06dPa6fdCyGfzzM/P6+N5s5Hf38/O3bsoNVq\nMT09DbDuYy8F5XKZ8fFxMpmM1kx0Oh3toSNBl9SFiGiee+45jh07xq5du7T31ODgIENDQ9rN/mq4\nzWEYLweprxGHSZ2n6zC55eU6TG5BXSmHrecvWHWY+Au4KIeJv4B1HSb+AtRhr5S/wF+Muv6C1Z2U\nEnDVarWAv8DvPWX+2hgLpl5hZFUyPDxMKpXSH8xDhw7pSkIoFoskEgkdAQC+mC7lbhBppAnnv4e/\ndgsz+MMxX/Oa17D7xhsZLha5rdFgVzRKqlYj3GhQDoUojI9zavt2vrS0xFQqxezcHBMTE8zNzWk2\n7q1vfStvuPNOtpXLpGZnKZXLfP30aT7/wgscXxk0LO99dnYW8DN47g4g8LNHAwMDAQk2m008z7ug\nugS31qHdbge2EScSCdrtNq1WS2VTr9eJxWKMjIzo144cOcL8/Lz+HXwpHT16VCe7b926lfHxcQ0C\nr1QDVcPohVAopL+MxWGHDh0CCDhMsh+uw6Rm6nI4bD1/AQGHScPj17zmNRzYvp07Gw1yhQI7IhES\nrRbVWo3S6CjFgQEO33orX5yeZnrFX4A67K1vfSsAb7zlFsYrFWozMzx68iSz/f08+vTTTExMBNw9\nOzu7ob9gdSEq/oILq60Sh23kL/m7+AtQh4m/5DGw6i95nPlrYyyYeoWRDNP4+DjhcJhjx44BqxmO\ngYEB7elRrVZ1tImkW6XwWS60Xlr+u6NVXFxRLiwsBNLe73nPe/jR229n3zPPsP3znyd99ixdz8Nb\nZ5XyY0Apl2Phttv43Pg4T4yO8m9+7ufInjjBjqNHif/H/0jcWfm9Dfg/IhHmxsaYHx2FvXtp797N\nE60WywMD/NMDD/DVr341sFqU1ZdsYZb35hKJRNaVUrfbVcl7nkcmk9GAb9OmTZRKpcC253A4TKPR\nIBKJaNap0Whw7tw5XXFns1lKpRLtdpsjR44AfrGr3LoFk5Hx6iQSiTA+Pg6gDnNnuYnDxGOuw9zC\nZ7cY++WykcPEX7Aa2L3nPe/h+978ZrY+9RQJfInQAAAgAElEQVQ3PvssI5/+NOEN2iy8DfhAKsXC\ngQP846ZNnMhmmRgd5ee///vZefYsqa9/nfjHP463Ehy+A2iHQixu2sTCtm1www20du6kvHMnj1Wr\n3P/QQ3z1q18F0HMTf8FqG4aL8ResOkz8BX67Ctdf4H+/3O+DOEz8Jefg+gv8xaL5a2MsmDIuiBDw\n3cBv/PM/c9PnPqdfb2SzTO/cyYlEgtlOh0YkglevMxYKsblUYvzMGTJLS2QeeohflCd94AOBY5cH\nByls2UKlWmVgcZH8wgKjExOMTkzAo48C8FqglM2yr7+fRKPB3wLW9cQwjAvlBuCnnnqKt/7P/0lk\nJTDpeh4zN9xAYcsWTgILjQatZpPRWIzBQoGdU1PkFhfZ/NhjvM892De/qX/shMMsbt1KMRSib3mZ\nwcVFhqanGZqehqee0sfdGotxx8AAn67V+MdYjAsvgDBeDVgw9QojKfBUKsWRI0c0dez+m6Rgh4aG\n8DyP5eVlTYs3Go2XVTi+HtFoVFscyLw5SROfPHmSLPDvEwl+KRxmqFyG+Xma6TSHb7qJr+3YwbFt\n25hZWKDb7QYKTnO5HIVCgZDnsXluju+Ox+ErX2FkcZGBbBZ27+Zfh4b47PIy9T17YKUWrFQqkWm3\nGZ2cZHRx0Q/IlpYYm5khUyxyb7HIvUA1keBr+TxfGh/njw8e1AaBchtViizlc7rQbcjdbpdSqaQr\n5rGxMSKRCMViMTDPSm495nI5YLUdhGTGQqEQmUyGYrHI1NQU4K/Yb7nlFkZHR/XzNYxXG+l0Wmum\nNnKY3E5zHSYZkcvhsLXX58mTJ/GANwK/Eg5zT7sNJ07Q9Tzmb72Vp3bu5GsjI5xYydqIw8Rf4JcV\n5Esl3pXN0nj4YTbNzpJutxnatYuj+TxzBw7wZ6dO0bd5s/or2myytVgkPzvLaKnEllKJzTMzDM/P\nc9f0NHcB3WqVie3b+dv+fn7nhRfUX/LZuEXibt+9l0L8Bf5dC9df8GLHi8PcdhDlcjngL/A3Fpi/\nNuaq7TMljdCupSK3SCTCd3zHdwD+gOKvfvWrev85Fouxbds2Wq2Wpsfj8bh26JYf4Gq1ypkzZ3r+\nXKRYWuoZwJdeOBxmzPO4u17nnfU639loEF2RXnHTJh593ev48t69LLXbGri02+2AGGu1GtlsNnCv\nfv/+/TQajf+fvTcPk7u67rw/tXYt3dX7KqlbKxJICG1IIDAGQyDeN/ACMZmxHcdZvOaNPe84mSST\nOPGbiWecxJ48GWfiNyHBy5t4IQYCOMYgs1sE0IYEWrvV6m71WtVVXXu9f1R/b51fg9qDWS3VeR4/\nqNvVv7q/W7/7qXPPPed7WLVqldN1+eY3v8n4+DirV68GqtozxWLRnf1DFQ65XI58LseSqSkuGR5m\n65EjdM3nUAGkOjvZtXYtf55M8sS846K2O5pLqa37fD7PWBsbGykUCg4ugUAAv9/vjmNV0eL3+51W\ni8LkLS0t7lrDw8MepzeXyzE3N0cwGHTOakdHBxs3bnRFB7t27XpNqwq/VK2HFtq5ojN1NjNMDYrF\nMDkylmF67i3DtB5fLMNsXo8Ypuc14vezvVzmTbkc7yyV6Jh3lorhMPvWr+eeTZsY6+hgbm4Ov9/v\nWKO1K34BjmHiF+AY9s1vfhPAMUz8AhzDxC+A6NQU28fG2HziBCuPHiU4/76FcJgnV6/moYsu4u8O\nHmRwaMjxC6rMt/yyY9WRnhgmVumzsvyCagK8PeYTw8QvXdvyC6rfRXV+oes9L79es87U2WjLly9n\nx44dABw+fJh9+/a5DzqRSNDR0UEoFHKLT0Jwfr/fwSubzbJ///4XfV4diUTo6enhqquu4uKODpYc\nP0734CArjh2jy5QKV3w+jg8McO+FF7J31SpyhQJ+v9+jpp7L5SgWiw5K+XyeSCTiYAo1ADU0NLgk\n8aeeegrAOXOzs7M0NDQQiUTcvPj9frLZrLtfvceqYpEdR4+y7amnaNEOzu/n2Qsu4Knt2/n65CSP\n7d7tdmnlcplMJoPf7/ckaKrCSFBoaGjwSDGkUilisRgtLS0OLHNzc4TDYZYtW+bJXSuVSi43YXZ2\nllwu52m1EwqFWLVqlRM4fOqppzh8+PDP/iH+nNq54kydjSaG6bkVw+R8WIZZMV4xTOvjxTJMzlRP\nTw/XXX45bwgE6D1+nCWDgyw7cYKQufZMSwtPXXQRd51/PtPGsRDDxAMxTPyCmjCx3QSKYeIXVBkm\nfml8lUrF8QuqDo/4Fc3nuXxkhEsOHWLFvFI8wOTSpfz7li18rVzm/vm+eLOzsx5+AW7MtspbPQKt\nFIPll14vfgGOYeIXVL9jLL90/Tq/qnYmftWP+c5RC1Yq/GI6zW/cdRcbFqja5sNhhlau5OiaNRy8\n6CImwmHnAL1WbKy1lR8uXcq9l13GlokJtj7+OP1PPMF5e/dy3t69vC4W4x+DQf4eOGF66tWtbnU7\nO2xjucxHJyZ477e+RWxBEvl4d7fj16n+frK5HJmpKXgJevq9FDYXDvPw+vXs2b6dVZUKFz/5JOft\n2kXb0BBXDw2xMxjk++Ew343HubtS4aWrfazby2V1Z+oVsoaGBpYsWeI8+aeffppgMOgiTolEglgs\nRqVScbuBZcuWsXXrVg4ePMgDDzwAvLju3ZFIhNUDA7xrepqPTU/TMX9UVgyFGLrgAkaWLuXU8uUc\naGujNK/JUigUKJnu5D6fz+06bfTINilVNCYYDLqdk0QvbZWPzDY6VvNRGz62lS2BQMC1fdDv721o\n4MdXXEH7JZdw7fAw5+/aRffEBJ8GPg2cjER4PJHgu5kMe30+prq6SPl8+OdzI7q6utz7DQ0NMTw8\n7O4tEAgwOzvL7Oysu5dwOExXVxeZTMbtRJW3oR1tpVIhGAy6OZTNzs663eXy5cs5duzYK9K7q251\ne7FmGfb0008DOIYpMmUZtmzZMgAPw14Mv6DKkbd2d/OfUyk2TU465+j0wACDq1czOjDA8MqVDJfL\ntbU3NUWpVHI9/WzkX9EjqDVattFkMcyK9p6JYeIX4GHY8/HL/k0yFGLv2rUEVq1i0+AgbzhwgL5D\nh7ihWOSGTIbZQIDHm5v5fqXCk8Bhn49sdzcVk9slholfuj/LL92P+AU4htncWUXVxC+oVe7V+XVm\nqztTr5D19vbS2trKvffeC1Qf6uXLlzv9JPVHyuVybvHp2Gh8fNzlVtmF/kKspaWFT1xwAb+2fz/d\n88nVo21tPL5tGw+vXctcJEK5XMbv91OZmwNzXq4zdKjmIqm8Vuf2pVLJo38llWEr0lepVBgaGqKt\nrc1B9vDhwxQKBZeLNDY2RiaTobm52XPuXygUnHOjXATlO+j9fD4fo34/37/wQm5fv56Vx45x3kMP\nsXlwkCXZLEuyWd4KUChANkvJ7ycViZApFkkXi5xYtYoDF17IdFMTt99+Ow8//LC7tsqSbTNRdVvX\n2JVkq/ttampyoXk5og0NDSSTSfdZ9vT00N3dXe93VbefC7MMExvEMNujUgyzx0ZimD02eiHW0tJC\nb7nM38bjXDKf8J4Jh/n3Cy7gqW3bONra6vjjn5lxzoBMDBO/oJbTpjGJYVYlXQwTvwDHMG2MxTDx\nC3AMsw5JpVLx5IOKYeJXEXhk2TIObdxI++Qkyx94gIuPHqVvZoYrJie5AkCbzGyWTDhMOpsl1djI\nSFsbhzZuZOjaa7n9jjsAePjhhz38qv550fELcAwTv/TZWH5prur8WtzqztQrZB0dHR4p/oGBAZqb\nm53WyNzcnKvUUw7R8PAwhw4dYnBw8EV5/+uXLePv29vZMq9vMt7Swr9ccgmHt2yhoGbEhQKBQIBw\nOOwWUKlUco2HBaZoNEo+n3ed06HqYBUKBdeMuL29nY6ODo/wXCKR4Omnn2ZsbMw5U21tbRw8eNCd\n3ycSCaexIuAtdDDz+byDnW0qrPcZGxsDYLSxkUeuu447W1roGR3lwtOn6T52jI7RUZqmpwnl87Rk\nMrRkMjA2xppDh7jqzjt5Zv16Bt7xDgeWffv2ORDZyj3lQgioDQ0NRKNRN061cchkMk6kz8IJqjDa\nsGEDMzMzL6sKct3q9lKYZZh02MQwRWosw/Ql+2IZNtDfzxe3bOFNd95JNJkkFwpx/4UX8oOtWwl1\ndVEoFEgZJ0kME7+gFmESvwDHMFWsiWHil37n8/kcvwDHMOVQiWHiF+AYZhPQs9ms4xfgYZh1LsfG\nxhgDDl56KXddeikrAwE2jo/Te+QIHSMjNE9OEk2nieXzxCYn6ZycZOWJE+z88Y853d3Nxddey6Gt\nW0mlUh5+Aa5yTxtRMUz80u8sv6Ba1bgYvzSf57LVnalXwFpaWgiHw4yNjbmS4kKhwPHjxx2EKpUK\n8XicRCLh6aNkhdNklUrFvebKK6+ku7ubPXv2OAFQhd63bNzI9pERPnbkCPHBQQqBALdt2cI9GzYQ\nbW6GeZG351vQMoFG4WvtWgQKqKkL292cjuKsim8ymWR2dtYJ1HV3dxMOh90caG5sKwZFwVS1Eo/H\nqVQqHqcvmUwSj8c96vEKXReBoe5uJlesIH7VVYRCoWq0qFBg9uhRyqOjdExMsP3kSbYMDbF23z5W\nPf00y9/2Np686ir+9a67eOCBB0in0w42zc3NLklTznB7ezudnZ1uvpLJJF1dXcTjcbcz1RxKKmFk\nZITOzk56e3vdZ1e3ur3WTJsIyzA902KYWGAZZo+GzsQwVTdbhmnj1tTUxJtXreJz09P0ffe7ADy9\nahX/e/t2ivNdBfLptGPYYvyC6voTvwDHMPFPDLPRJDFM/NL9LF261HU2EMPEL10rnU47fkFNvNRy\nM5PJOH5p/qDGL4DJcJhHu7uJb99eq/CbnWXm2DHKIyO0p9OsP3GCS0+coHN0lOtuuYV1jz5K/AMf\n4NsPPeT4BdWNoPile5mcnHT80pxZfkH1u2gxfgHnPMPqztRZYMFSiSW5HMuKRfrKZVbn82zOZNhy\n1100z+/Cplev5m+vvJIDr/JYXytWCoWYbmpiqljkmaYmHl21iuZMhvfv3ctlhw7xuu98h2UHD/Jw\nX9+rPdS61e2sNn+lQtvsLJtmZ9lUKLCsUGBNqcTG2VkunD/SK8Tj7Pvwh/lmJML0xASNr/KYX22r\n+P2ko1GmWloYbmlhd2cn39i2jauGhrhh924GDh7kvX/6pzx7/vk88GoP9hyxujP1ClhjYyPZbJZi\nseh2M8FgkHw+76Id6pdkd3SnTp1ifHzccy21COhubOS64WFueuYZWu+664ztXNJLlhD59Ke5s7OT\nh267ze0y9Z79/f1ul3L8+HEmJiZcImJ7e7vL21JoPBQKkUgkCIVCnsTKSCTiomXFYpH0/I5RuzId\n361Zs4ZLL73U/d3c3BxHjx4FqsnfilJpJxsIBAiFQi4fIp1OUy6XXSIlVI8H/X6/Rx8qGo0SCoXc\njiyTybjQu91hqow7m82S9fv5y82bObFpEzfceSfL9+/naydO8PXLL+ePjbDe6Ojoc3K5RkdHPXMr\nOYdEIuH6bkUiEQ4fPuw+0xMnTtDY2EhHR8c5v6ur22vXFBW2DNM6E8N0lGUZdmpeYsUyzLVp6ujg\n8kqFTyWT9O3eTdDIlVgrNTTg+6Vf4vubNzPX2sqz3/nOGRkm8VAxTPzS2PP5vOMXcEaGiV9Q096z\nLV7OxDDLL8AlvSuiUy6XHb+glgwufgGOYeIXVJln+QW4KL9ek8vlSBcK3Nnby9hHPsL13/42K44f\n548feYRf3LSJj6fTZP1+Dh486PgFOIYtxi+oCg4vxi+oR6bqztTLaFogiUSCyclJisWiS1jWWb0V\niywWixQKBSdDoPwfwDlhv/krv8JNw8O0/8M/EDb6SqnmZiabm5lpbibZ2srRRAI2bybZ0cG2iy8m\n9/TTtLe3OwekVCq56jqruxSLxdwClS2s1FuoDyPIuATQ+aRKm4AuICivCuD+++/nwQcfdPNkK0sE\npXA4TCgUcg6QYGMdNajqQaXTabf45XDJCbTqy1azSnliGnskEmFo/Xp233ADa/70T2l77DFu/td/\n5fWXXMKnrrmGuWCQH/zgBxSLRWKxmEejZmpqyjlOuqdyuezmJ5fLEY1G3bjHxsZYuXIlS5cudZ3k\n66rCdXstmd/vd2vKMszmS+ZMta9lmOUXVBn2a7/2a6w4dIi3PPQQsQO1OHmutZXJpiYmmppIJxJM\ndHRwJBYjtG0bF11+OTNPPw35vGOY3v+FMmwxfgGuCMdW8/l8PscvwDHs/vvvB3AMW1jdKz0njSWZ\nTHo2fJZhytEUw8QvqDqsll+6b/ELcAyLRCLQ28s/f/SjXH/oEAO33MIVTzzBru5uHvz1X+dLDz3k\n+KW5kk6gvndaW1s9/NIcLcYvqFX3natWd6ZeRpMDtHr1ap599lmGhoacM+P3+52yLdRayGSz2ec0\n//T5fOzcuZOe2Vk+9o//SMM8hMaWL+dHW7fyw1iMKdMJvLGxsQqD06fh9GmKpZIrXxbgtFimp6fd\nYm9sbKRSqbhdmQWW/t3U1EShUGB6etottFAo9BwldZ3L2/yAnp4eOjs7eeKJJwC48847GR0ddQnp\nmUyGYrFIMBj0NHaem5tzAEwkEq46xe46BS7rKAmMgCciZR1K5TVo7OFwmGKxyOF8nsOf+AT9d93F\nJd/6FgMPP8wtK1aw/wtfYPPmzdxyyy2cPn3aJaGmUik3Dl3HVu1A1VFbsmSJm7eTJ09y6tQpurq6\n6i0a6vaatO7ubtehwDJM60oMs8UgZ2LYFZdcwq/u20fLLbdU/7apiUc2beLxzZvZO78ZCofDLhLm\n8/ngyBHmFkjIjI2NufeHGsP0d2KYzdMSw8Qv/V25XHb8s0rq2vSKYeIX4Bh25513AjiGiV+AY5j4\npTGIX1CrrFvIDY3Vbk4tv/Q629hdDBO/AB685hqeXLKEK//u72geHOQX/uiPWP6Zz/B38/wCHMPE\nL32mll/63WL8gmpC+rnMr7oz9TJZIBBg5cqVQLVqraWlhbGxMbeDisfjtLW1uQc4GAwSi8WYmppy\nr4nFYszNzdHb28v1O3bw9i98gYbpaUabmvjLCy9kT3s7TZEIQb+feDzuKfG1O7ORkRGX8Kmdk3Z0\ngAvTRiIRpqamPO1sQqGQZ6emNjRWb6S5udnT70mOkHVmfD4fkUiEdDrN3r17AZiamqKxsdGNNRaL\nOSDZ3aNto2C7nVtNF+lTCS7SStF1fD4f+Xzeo8quqkSoqbBDdXeoMui9S5fyo/e+l498//t0HT3K\n+l/9Vfx/8RdMv/Wt/MM//IOnei+VSrkdZmtrK6VSiVQq5RxKHSto3IFAgKmpKaanpz2Vgi9Wi6du\ndXspTAzThsEyTInJYpgcBMswJWTPzc3R19PDH586Rcv3vkc5GOSfN27km729RFpaYGKCYDDoGKYI\nkE141hoSw6zmE1QZpjQDMcwmcYth4hfUNJPkOIlhNuJtI1W6vhimSI4YJn4BHoaJXWKQTAwTv6C2\nwbNdIFRRuBi/oMYw/W5oaIjpUon73vY2rn/wQXb++7+z9vOf58Mf/zjTb30rgGOY+AXVjaHlF1Qd\n1MX4pefjXOaX/6e/pG6vtkUqFa778peJT08ztWEDv/eWt7CnowN+Br2pur1wO93Swlc+8AFOnX8+\nselpLvzEJ+h+jSnC161ur2X7xOwsqx99lGI0yk+++EVuv/BCCvXOBK+IlQIBvvcLv8D3rr4agJV/\n8RdcaVrh1O2lsXpk6mWyZcuWuWjDgQMHGB4eJhQKeaI2dkfSMd94c2pqyiOw5vf7+atYjPbDh0n1\n9vKXV19NcmzMhVYVDp6bm/P0gLN9nCRG19zc7KJHExMT+Hw+1+kcqjszK3SXzWbJZrOeXVkmk3Hi\nlHaXpJ2Lxq37sH8Xj8fd2KC2W7RRKDUetTkQfr/fs0vTjtPqt6h3lOZA86JdWrlcJhaLUSwW3ftn\ns1l3rKDPRflZSrJUkudkscj/tW4dn5mY4KKxMT5zzz1U3vY2/ufddwPVfAj7fgrNZzIZT8m08k6g\nupOcmJjg2WefZe3atQCsXbuWJ5988qxqjlu3n08Tww7MpxVYhlnB3lAo5KLblmF6zi/1+fj07CwV\nn49b3vpWDp06RT6fp6ury9NkWAwTR8QwKwgshk1MTAB4GCbWiGHil14XiUQcv/S752OYzR8Sw8Qv\neC5fLcNs83fxSb9TpNzmVan4xbJb97Sw6Eb80tyIX4BjmM0vHR8fr/FrcpJ/6u1lZMsWfvXxx3nP\nAw9w3saN+G++mW9961uOX3o/yy+oydaciV9QZde5zK+6M/UymN/vZ8mSJe5BPHbsGOl0mqamJvfw\nq0JECyufz5NMJl2SpOz316/n2n37KAYC3Pb+9zOUStHe3u5goq7pFnBSU9d1UqkUyWTSkzyoxOtK\npeIJPdukSAHC5iJlMhkHBMGrra2NeDzuSVZUM2TBrKmpyWm4aKEphC7YqP2DPR7UdfSzKvsWasrY\nHArA5ULZJM5cLkcoFPLoauXzeQ8og8Egs7Oz7rNTlWVTUxOT6TR/smMHf/DII6wdG+Nzd93F3M6d\nnGpu5o477vB0jS8UCi6Mr3nJ5XKeI8tgMEipVGJoaMg5x0uWLOHZZ591Dm7d6vZqmGWY8mAsw2yV\nbkNDg2PIQoa1AN9paCCQy/H461/PQ83NMDHhGCY+WIZZNXUdNclBEMNs4vWZGGY3aWKY+AU4hukY\nUwwTvwDHMPELcAyzOU1+v9/TOsqyTUzw+/0eHliGnYlfej/LL92PPTYUw8Qv/c7yC+CugQHigQC/\n9NhjbPqrv+I//fZvk/zFX3T80j1bful+FuMXVFvanMv8qjtTL4N1d3fT0tLC4Hw3cEHIOjNQXUDW\nmSqXyx612l847zz+73mQ/X+XXsqu+QWWz+c9C1TRHLsL01k84FS4A6ZjunKmYrGYR1gTap3S1TXc\n5/M5ABSLRUKhEE1NTS7BvqOjg8bGRvcatVAZGRlxcFm5ciXZbJa2tjbnOBw7doxjx46599fOqlQq\nuZ1QsVh0cwNVZ0olztbhsvcOtcTRhdC14nN6nRxLqO6srVOkaxQKhepuG/jqO97Bf9m9m8Tu3fzR\nffex94tfJB6P87Wvfc3N+ezsLPF43FPxNzMz40mU1Tjy+TyHDh0CYPPmzXR0dJyTMKrba8cswxRt\nXYxhtmpWa2fD+vV86cQJulIpxtes4W/WrPEUlthNkmWYjdIoh0oq22KYzZkSwyw7GxoaHL8AxzDx\nS/fT3d3tompimG0BJYaJX4BjmJxMMczKIIhh4pfmRvzS/YnftqLQ5/N5infsxnehALD+Tq8Rv6DK\nTssv/e6RHTt43etfz8Cf/RlL/9t/4w8/+EHiN9zA1772NTd2yy+ofhcsxi+oKt2fy/yq50y9Rs0P\nfGFoiHA6zcmtW7nvggte7SHVbd5y4TDP/Pf/Tv6aawjNzLDht36Lnnkl9LrVrW5Ve9/kJFenUuRj\nMR752Mco13OkXjM29p73cPRzn6Pi9zPwt3/LNfMV1nX72a0emXoZTCFsVa0B9Pf3k8/nXeVDNBp1\nuyeohkynp6fdbuS3gC2ZDIWODr7+C79Adl4ATztD7aZktixX/aC0K9O1bcd0ncPbhqQqh9URlwTl\nrLhdIpGgqamJxsZGT1uGcrnsqYgLBoMMDAx4olePPPIIAwMD7Ny50405Fou5ayeTSYLBoNv5QDWC\nlkqlXGQqHA4TDAY9u0fb1V27pHw+75pzQu14UJ3aoboDU6hfO9+pqSmCweDz6kXpXjZs2ECss5Ox\nv/5ruj/6UUL33MNnd+1iz+WX88//9m9uTvL5vKfUu6GhgdnZWZezIQHBZDLp2tJMTU3R3d3NyZMn\nn6OHU7e6vVL20ximtS6G6ThdDBsAfnv+mT75+7/P49PTZLNZ93eLMUwMFMPEL8AxzOZCimFW8iST\nyTh+Qa2SVvwCHMNsHqvt5Qc4holf+t3OnTs9+UTZbNbxS9eGGr90ffFL96tUBNtCLJ/PO35pji2/\nAHfP4psYJn7B8+tFdXd3s2HDhqqQ9E03MdXRQdunPsW7H36YA5s28UBPD//6r//q4ZfuZzF+QTWf\nyvJL93OuWN2ZeomtoaGBYDDI8ePH3QPc0tLiwrtyeEqlkjsHh+p5vQDxsXe+kz+87TYolXjggx/k\ndLnsoKAkSS1ke7ZuEzcFIagupGQy6VmgUAut23Dy7OysczZsqa3NbZCulIChcliNSYvQ5gTYPl37\n9+8Hqknw6usE1VLedDrtGYOOGfVzpVKhq6uLjo4OB5bpeVAvzDfT30MNPtbh09gLhYIncTwSiTgI\nhcNhWltbaW9vd85UX18fqVSqOndf/jJd119PZM8ePt/fz8ENGwDYu3cvExMTTgJDZvWx4vE4HR0d\n+P1+92UxNl9cYMu/61a3V8r05WwZpkIayzA9w2KY8om0jv556VLCQ0NMXHUVDy9dyuwTT5BIJDwy\nIZlMxqOTZH8POIaJX3q/MzFMvxc/FsqdKL/U6ko1Nja614lh1okQw+xaFMOUtyqGiV92DOIX1FIP\nlOYgholfuufnY9hi/NL4lDgux8zv93v4BVVnSvwCKF1zDb7f+R1a/+iP+K1nnmHZ+9/P0NCQh1+A\nY9iZ+AVVDlt+LZy3s93qztRLbJ2dnYTDYddKAapevXJuZPl8nkKh4B5WOV5r167ltzIZGkolhi+9\nlP93dJRIJOLOrvU6mc2VkoVCIc+Xsd212Y7pitzYippoNPqccZbLZQcqLdaOjg63QH0+H3Nzcx5x\nOlWjnDhxAqiq4/b09DA2Nubax4yOjtLd3e3g0t3d7RLlZWp3IMdQ79/U1OQcUamf53I5t4iVJGtz\nMrTbsrDS/NnmqjbBtbe31yn86v6OHj3K1NQUF110EfGODua++lXCV13F2kce4eqrr+ZEIuF29PF4\n3M25xA31hdLQ0ODuQ18WU1NTtLS00K/maoQAACAASURBVNjYeE7mHdTt1TU1u7UMs1EWscF2E7DF\nJwA3L13K1qEhCtEoj33gA9x1112OYc/HL/CqkMvZEcMsv/Te1gkTw3RtyzCbryQeyNkQw+TsiGFW\npFgME78Ax7DR0VEAxzDxS2PQ/Gi9B4NBz/tr7YtfgGOYTfJXXpX4ZefNzp8a3NsiI8sv3aP4BXDR\nRRdR+eQnKT3wANF77+W6vXv53po1Hn5pHhfjF1RPFiy/gHOKYXVn6iUyu0C1s9LvoOaUyFTZISdJ\n4Lq4q4tlP/gBFb+fb2/dyszQkBPvlNmIjyJa6XTak9gYi8U8cgLWsbCmNjZQXWihUMgtICUu5vN5\ndy+NjY20tbXR0dHhSba2MNSxn9/vd8dnR48eJRKJkM/nPQmSU1NTnqM5JaVqJ5RMJt34oVZVMjY2\n5tnNasx2fu09q6Tb9sZKJBLuSEDOVCAQIBKJuB5iAwMDlEolTp065XZzwWCQZDLJ+vXrqxHDrVsp\n/NIvEf7qV7lpeJhbL7zQMxabBJtIJDxzpX5ndu7a2toIBAKcPn3a8/d1q9vLadokAT+VYXZdxWIx\nz+bxs/PrZNell/LIiRPMzMyckWE2oiWGWRFfJV1bx2KhiWG6vnhgE6/FMPELcAwTj2wyt73PmZkZ\nxy9dyxapiGELC4Pa2tocv+x15XyIYYvxS/+2/IIqB8UvfV5SXdc4BwYGPPyC6sZT/AKqDGtuJve7\nv0vs3nvp/N73WHvTTc+ZY0XYXgi/oKqwfq7wq56A/hqzG44dw18qMXjZZUwsyCmo22vXCh//OJVQ\niK0HDtCzoDl13ep2rtglwAUzM+QbG3n4kkte7eHU7f/QyhdfTGb7dgLJJFft3v1qD+fn0uqRqZfI\nlNQYDAY5cuQIoVDIJTFD1WNvbGz0iLqpDx1Uo0LdwBuHhqj4fNx76aVMT0+7HneKisTjcRfhgVr4\n2u4gdW3tdnQMZ0t3FTYPhUIuJK02MbZ1jBK2F77e5/O5Hd3Y2JhH10r/DQQCnjYwGruiVerObl+v\nf2sHpl2f1dBStMyGs6VTYxM0wXtEoU7odletI1F7zLdixQp33DE7O8vY2Bijo6OevIb29naXcAlQ\n6eqi8r730XjLLbzz6FH+Zr4f49jYmNsJBwIB4vG4O4pUaw49G5rzQCBAU1OTe52iBHWr28tpTU1N\nbh38NIZpnYphigp9Zv61T+zYwelMBjIZD8PEJLFF69oyzF47Ho87ful1VisOakyybWIk0ml5oKbD\ntoeo1jfUdK1sJEUME7809pmZGReREcMsv/R7G3lXArmNlimlQPcuhtnoj9JExC+oRavskaiO+Vas\nWAFUj2wtvzQP4hfUksYrlQqVz36W2Lvfzev37uWilSt58sgRNzeKNp2JXxqn5ZfGda7wq+5MvQSm\nhwyqeUCzs7MevRVV11ntkObmZlpaWjxVHO/y+QhVKhy+4AImuruZO3TIAy6oHnuNjo56HB45B3rI\npfItUGmh2cWuBa6O4VAT27TNgbXQdRwZi8XI5/OcPn3aAa5SqXjGKa0We1ynvAdb/aEqPSVfK5G0\nVCq5McRiMWKx2HMSUK3mClSdTKt4HA6HPef7uVzOqSRr8du+iHJmenp66OjocGM6efKkC9Xrfmdm\nZhxc5FD6fD4aPv5xKrfeypqHHuL/+Z3f4Q+++1327Nnj3i8Wi+H3+11C79TUlKvIsSKBmUyG1tZW\n1zPsXIFR3V49E8P0pWsZZteQGKZnUwwrFAq0Am8FSj4fj19+OXMjIwAeNmgdi2E2WRqqrLIq3+Vy\n2bPZEcOsSKcYpvVsc4y09sQw8QtwDNP9aZzil37X1tbmydsSw2yV3vT0tKeYRwzTe+re7SbQMkzf\nH2KY+KXXWX5pHqzDJYaJX1BNCLf8guqmXfzSdeR8Nl91FYVLLqHh4Yf5u/PO4+bGRvbs2eNetxi/\nNFeWX1D9njtX+FV3pl4Ca2xsdA/YsWPHKJfLnu7k5XLZ7d704Kmh5bg5EvpAUxMkkxzbtMnJFIRC\nIdcEFKqAsTk+ardgz63lONnKQT3otppGALL5SMFg0JMArp2PTWbP5XIeEFg5BaipDUvkD6o5YQMD\nA4TDYScDsGTJEkKhkCujDQQCpFIpJiYmHFylNiznUXkUCxNWw+GwB7ALxw1VYEWjUU/LHIl4apz5\nfJ4TJ044UE5OTrqcDc1dU1MT69evp7Oz091LsVgk19JC5EMfouF//S/evG8fx//Df+BLX/qSu5a+\nKPT+3d3dLkqn52JmZoZjx44Ri8Xo6+sDqm0hzqWqmLq98iaGSYjSMkybMsswG0EWw95K9QtleN06\nih0dlObXtWWYOCGG2ZZX4pV1nFQ9ZjcbC1tXiWF2nFrPVqBXieXKWRLDbN4ReDs+iGHil/7/yclJ\nlixZ4t7j5MmTjl+AY5jt+ODz+Ty5rGKYjbTZvFc7bqjxy86RFfGMRqOOX1DdrFp+6Z7FL8AxrFgs\nVgthPv1pBt7zHjbedx8f+Z3f4U/nN5WpVGpRfkGVYZZfUK18Plf4Vc+Zeo1YN7A9maQUCHBk48ZX\nezh1+xkt9xu/AUD49ttpOEe7p9ft3LTr5/97fOvWV3UcdfvZLbtxI8XXvQ7f3Bzn1YU8X5DVI1Mv\nga1Zs8adER8+fBio9VOCWiuThf3yJiYm3E7mY34/gXKZU1u3MpzNgjmuyuVynnYqvb29nhYw4XCY\nbDbrjqbS6bTLT5Jph6cdj8LlpVLJvU7NlxfmDNizecBFhuyuJJfLuR2fROY6Ozvd7mtqaopyucyD\nDz7Irl27ALj55ps9bRn8fj+dnZ00Nja6MczNzXl6eMViMTfG58vRUgRPkgcat3pKnamnn3K0dC3N\n5dzcHNFolEgk4qJHPT09dHV1cfToUUbmjzK0Y1u5ciVbNm2i7Ykn2Dk4SF9fn2sU6/f7PZo5trWP\nLaUeHx/n1KlTbucbi8U8c123ur3UJoaJX1BjmD1usv3yAMewrmCQ64pFyj4fM9dcw8T8mgYvw7Qe\nxTBFoyzDtBYtw2yU3TaMtwyzzZctEwAPw2xk6PkYJn4BjmHiF+AYdvPNNwM4holfgGOY+KX3E7/s\nOBfyNh6PeyRv1Px4MX4BnvxTqDLM8guqbBa/AMcwG3Eq7tjB+l272LJnj4uOHzhwYFF+QU2zT/yC\n6unDucKvujP1Iq2jo4P169c7CEkNuKmpyS1aOR+CEVS/3P1+v/v5jdEopNOc2LLFUxKvfAA9uGrM\nafN3KpUK4XDYhValB2MdMDXhtEd6hUKBSCTiFlqlUnE6K1BdeHK6tIiVH5DL5dyY4vG4J4zr9/tp\nbm72lOC2tLQwMDDg1NMBVq1ahd/vp7+/381JOBxmdnbWAVX5RJoT3U9TU5NnDkqlknNoNQdQg6ly\nDHTPGrdKo22D4kql4n5WXodNvIxGoxw9evQ52lqpVIrDhw8zvmQJ73viCZb94AdEli51r0mn08Ri\nMY/2ikLzGmdXVxfpdJqRkRGX+9De3n5OwKhur45ZhtmODGKYdT70s3gght3Q2Ul4ZISRdeuYiUQ8\nJfGWYbY5uvJ3AA/DbB85OWD6nRgmtlmGaZximPgFtdJ+m6MphmkDZpO7lRMmholfgGPYqlWr3Ov7\n+/sdvwDHMJsPKYbZ3oCaA82VGGZ5qtwvm4AuJll5GjUo1jwUi0UPv6DKU/FLc6X5koM8GI/ze9Eo\n7U8/zdqLL+Z4PM7c3Nyi/NI4Lb/0bJ0r/Ko7Uy/SVq9ezdTUFM8++yxQPfNetWoV69atc4tnZGSE\nYDDoqUrRQq9UKlCpsH1+URxobiY5PAzUdoZSHIfaGb6+2BsbG5menmZ6eto5U8ofsjkEGpve36r/\n2vN0u3NSIubCaj7rtEHVmUkmkw4S8XjcCfnpvdesWUN/fz+RSMQluT799NMe7a22tjZaW1vJZrNu\nN5dOpz0wFVCy2ay7F+UmKBFW92pzEdRZvlKpuPy2np4epxZvAW6brTY3N9PV1UUikfAkxgqU+rtk\nMukasp4Mh3lXOEz7s8/SbrRg5DTJwQwGg85hUt6J3jeZTLrX9fX1ceTIkec+fHWr20tglmH6YrQM\n0xejZZj4I4a9qbUVRkbIbt/O8PCwp7WKZZicBTFMGyvLMJs/ZBmi383NzXl078QwORFimE0kt9V8\n4hdUGaYvejFM/IJaHqn4BTiGPf300+41UOOX3m9iYsLxS+9lHSIxTPzStVWtbCuvLb+gujkVvwDH\nMJuI7/P5PPyCWoGL3awWCgXHL4CDMzPsOf98Nj/+OFecOsX/7u93Sf9n4hdUGWb5pf+eK/yqO1M/\no6mFQG9vL88884xzEBQ1KRQKDkLT09O0tbVRLBbdQ6YoUCgUYmWlQks2S7m1lbGWFoLz5agtLS2u\nx5SqL5RcbhPZBQo5RSoT1k5DCzqRSHgUdNWnSgurWCx6nCuFjdXdHHDXtI6ZBPE0Jwr3hsNht8Pr\n7e1lZmaGJ5980jNXNiytMt5EIuHC5W1tbRw/ftzBUyJxViwukUi4EmpdT6rptipnYfKm7WFoleGz\n2ayDokrBo9GoA+zs7Cy5XI5YLOauPzs763bpuUCA/atXs2n/ft43O8u352Gr6ijBTm1xstmsK0FW\nS4hyuewcyu7ubpYuXcrQ0NCZHse61e0F2/MxzEZNxDBFcizDbBQoFAqxY/4Zb77uOgqDgwSDQbdp\nsQyzyeU2kd0yzEq1SB1c4xLD9HeWYeKBGGaPvcQw8QtqDNPaF8PEL8AxTPwCHMM0Jhsd0joWw8Qv\nXd9yS/8WvwDHMNv1QZXRC3ufil8ag5ThxZfW1lYPv6C60RW/AMcw8QuqXHx8zRo2P/44b5qc5PZt\n2yiXy4vyC6pSCZZfUD0GPlf4VU9Afw3YFdJQ2rkTnkfht24/f/bwli0AXHvsGMH5L5661e1stHCl\nQsvhw1R8Pgr15POzwg4PDJDq6KAnk+GieQexbotbPTL1M5qE0eLxuBOthOqOYWhoiNHRUReFisfj\n7qxZYW3tBrq7u9mRTMLcHKkNG1ixYoWn7UIsFnNJg4BH7wjwHHVph6Wmn4oKzczMkM/naW1tdVEn\niXhWKhVP6wTbVLhcLjtdJqvXol2boje5XI6WlhbXA0rha1ve39fXx9TUFENDQ54d3ejoqBtnIpFg\namqKqakpdy6vZFO9RjsvG4qPx+NuN6R7kX6Mdo06YrDzp8aktq+Xz+fzRKHU5yubzbqQdigUcmPU\nrr1SqRCJRNwRxcGWFqa7u2kZHeWNLS08HA6TSqU8TVp1zLGwX5kaR+uYeG5ujv7+/pd0Z6dwfKXu\n6J2z9nwMUzTEMkxrwTLMRmSvbmsjMDnJdHc3Mz7fogyzekf2v1BjmG283tzc7PgFOIZZEU8xTJEV\nMUz80uukmWfzkVpbW12URgyzKQRimPilubFRdTFM/AIcH2yyfHNzsydyJIaJX4BjmNW/UoK9lduZ\nm5vzNFYWw8QvXd/yC6o5TOKXPr/p6WnHL6hG4+byeQ5ddhlbv/c93pRK8ZXOzhfML6hpeb3U/ILq\n5/xa4lfdmXqRNjQ0xNjYmPsSlRaH3+93KrOtra3uvHyh/tH4+DjL5xflTzIZVq5c6RbI8ePH6ejo\nIBaLeRyQUCjkFoftJyVTjyj7O1u9B9WFFgqFSKVSDiaNjY2eBFB1KbcVf01NTaRSKU8fLyWJCghy\nsiYmJrj44osB2LFjB4888ohnzOFwmIaGBk+Tz3A47FEzlobMwuM7a0qgtL34otGoE/zTvWke9H7q\nBWbnyVbtaS7D846QwvUa6+zsrPtSUeWRfh6fmGD/mjXsHB3lVxoamFyzhh//+MdEo1E3lrm5OZLJ\npKe3oe7XqrlPTk6ydOlSTx+zF2uvJQjV7dU1yzAr/CuGaT1bhlmHpH/+i/mxfJ5jP/oRW7ZsIZ1O\nu/ViGWaP3azILtQYZhuD2wISqFXAaS1YhmldiWHil/5ODomO+sQwW6jj9/s9qu9imOUX1I4lAccw\n8QtqqRZWx2/h8Z3MFv2IYeKXrm/5Bd5ehvb3i/ELcJ+JmC+G2crJTCbD+Pg4jw4MsBXY+MwzbNi8\nmR8+9NAZ+aU5sfzS+78c/ILXHsPqztTPYIlEwiNGCbVzc1tFosUwMzNDLpcjn8+7BEx96V+wahXb\nn30WymX8Gzd6dmrhcNgpnOv3ErCzbRJ8Pp+nkk1n+xZcavppcw0kPmcFP+3fpdNpT1mt3k9A0ILp\n7++nr6/PgaRUKrFnzx5uu+02LrjgAgA2b95MOBzmTW96k5NCOHLkCEuXLnWLURUmvb29bsFqh6d7\n0msX5hBobBpre3s7qVTKRWAEMImlQnWhS8TTiglq3jUHKovWZ6YvHbVmsO9v/333smXsBK6dmODe\nN7+ZRx991OPgZbNZJicnXZsJjSkSiRCNRt29HjlyhLa2NpfjomKHutXtZ7UzMWxhJW+5XHZrzzLM\nluS/JZGAmRmKF11EV1eXY5V4YBmm9SKG2WRpMcxWfi2UQhDDlFC9GMPEL40BavyCWv6pEsvFMPEL\ncAwTvwDHMCVVi2HiF9QYZqPsMzMznkq4xRgmfmluLL+gthG0eaASdLbzbvml97ROs2XYQn7tKRQY\nX7WKjsOHuTka5cfh8Bn5Bbhmz+IXVHl9rvCr7kz9DLZixQq3OAcHB4HazkAQstEOfVFHo1FPVUUq\nleJTa9fSeOgQubVrqSxdymOPPeY5RovH4+RyOU8p8sISWQsaqCa82yoY60xZU/sY6+AtlP5XgqnV\nRpF0gN63paWFcDjs2XHE43F6e3vdDujOO+/kiSee4B3veIfTODl+/LgnxB0Khdzi199Jd8YqIFt5\nA43J9urStUKhkLvO3Nycm0ONWw5lsVj0wNbq4RQKBRea12en3bCOcaEWctbuq6mpicOFAsfXrGHg\nmWf4xclJvt3Xx8jIiEcLa3p62uN4a2dqQ+cqEdf7161uL9bOxDBbpad1Ypkghsl5ySWTXDe/xjZ8\n5jPs8/kcwxThsQzTOl4oU2IZpqNzMWyhM2XNMsyqqcvk2IlhtuWLGKZEecswrVExTPwCHMMU5RHD\nxC/AMczqZqkLhWU3LM4vqDqxll+aL/FL96IE94WSOPZoMZFIOH5BrerOHpnF43EXwdu9ZQvXHT7M\n1UeO0LcIv/R5ncv8qmc7v8p22fwCTd1ww6s8krq9HLZv2zYA1j355Ks8krrV7aW36ysV4tksuQsu\noHDeea/2cOr2EtvBTZsohEIsPXaMJQuif3XzWj0y9QJNCX4q75+bmyMYDLodXSQSceJwtoGmz+fz\n5P6kUine3NPDeYOD5BsauLe/n8fvu8+jht3c3ExrayuZTMb1gLNHd3q/bDbL6dOn3Y5OOwHtDuLx\nuOtDJY0Vn8/nzvhtFE1aU7r2QhkC5VIsTMA8fvy423G1tbWxZs0aenp63LyMjIzQ29vL2NiYUwTP\nZrNkMhlPon6pVGJ8fNyNXUndNqdAOQTagU5PT9PU1OQRsZPisg2Pq6eXVUXX6zXnilRJ96lcLrtS\na82BRPbU4BmqIe7Z2Vm3E+7p6aFUKnFvIsG1oRDLjh7lite9jn8cHPSouReLRU9PQZsvpYjhqlWr\naG5udnNi8z7qVrcXaosxTNESyzCb2C2GpVIpfJUKvxsMQqHAEzt3cviRR9izZ49jmIpGLMPssbjV\nz7MM0zoTw8QvwDFMUZrFGCZ+6frFYtEjgCyGaR7EMPELcAwTvwDHMK1jMczyRwyzRSnK67R5nJlM\nxvELagy0XS+CwaCHXxq75RdUGSZ+2TFYuZtisegRCdXnK37peRC/nh0Z4anly9n6zDN8MBrl4fm8\nOfjp/IIqq84VftWdqRdoCgmr0krn7tZxikQi5PN5Tzg3GAwSDAbd79LpNL85v8gev/hi7nvySVcV\nZ3VLpqenaWxsdDpTqgK0OTY2jAs1kTdb1ZHJZDzwKpfLhMNhT0sHqLWCgZo6rpR0db8KV2sO1LRU\n0BAQA4GAc0qkDH/y5Enn4LS0tLgwPVQX5+TkJPl83oWSW1paPAmaoVDIoyiv+xMwNC8627fK5oFA\nwNMQWWrB0WjU3Z89BoBatZA9itNxno5c9XcWnArND1UqHNu2jdUPPcRv5vPct3Sp0x8LBAJObNQm\nfwKeBNSTJ08yOzvrqiUHBgbYu3cvdavbz2KLMcx2WhDD9GxahqXTad5YqbAGmG5p4dZgkNKDD3oY\npi9nyzBbBagcG8DDMCu0q8pa/Z0YprWxGMNshwIxzDZXFsN0bTHMOnRimPgFOIZpHsUw8QtwDBO/\noNZUfaGivG1gLIbZ3CQdDYpfur5VOxfDFuMX4Bxk8VUMs0VGav+jiuIf9Pay9ZlnuOHUKb6wZAkn\n5p1Pyy89M5Zfer9zhV91Z+oF2sDAAOVy2e1mlASohOnGxkZPKxeola1CLblyVTTKG6amKPv9PLR9\nO7lk0knzCyp24cumpqaYnJx0C1TJy36/37P4bDJpJpNxirq2LUwul/NEahbmUOl16XTakxgPXvjN\nzMx4krbVz6+pqckt/vb2drLZLIcOHXKOYU9Pj1M+1vtLoE7jnJqaIpvNOpCpcmZ2dtadwTc3N7uz\nept7YKNJpVLJOUT2NeqWbtWGoVYgoDYOyiOQ+f1+SqVSrZ/VvPNondx4PE5rayvPbtnC6oceYtOe\nPWy54gr+5eRJoPolk0gk8Pv97vnRZ26VhqenpxkfH3dj6uvro62tzYG7bnV7IbYYw/QcWobZjghQ\nXe/xeJxPzM1BqcRPLr6YTLEI86K/YpjWhmWYSvLFMJu8LIbZNVsoFBy/oBaR0d9ZholHlmF63WIM\nE5PFMPELcAwTvwDHMMnViGHil8bg8/kcvwAX/VMOlRgmfunvxCAbTbL80lj1/9l5sGwTR8Qv3Y/9\nTMQwmwMrJ1f8GmpvZ/roUVoGB/kP553H78136LD8gup3n+UXVHOyzhV+1XOmXiX7QLFIoFLh4Nq1\npObD4XU7O22mv5/JlSsJZTJcfZarANft3LAV5TLXlkrkAwH+fV6gtm5nqfl8HL3ySgDeeuwYvMYk\nCV4rVo9MvQBraGigtbWVU6dOud1aa2urp1mmvHx77KXwq/o1+SoVfnnec39o40Z3nr+wmSXgWo1Y\nIc2CObeGWpREOx6FX20ZssqTtWNQV/PZ2VnPDlTX0r309fWRyWRc2W+hUMDv97t2MVDrZ6fwshqB\ntre3u2hZKBQiGo0yODjoyo6H53c4isAUCgUXaVuoR6MxRqNRYrEY3d3ddHd3u3FPTk56mihPTk4y\nNTXl6Uqvnl06figWizQ0NHhKj3UkqyrAcrlMLBajs7PT7UTb29tdrpp2tep5pVyA1tZWJ1Lo9/s5\n+Pa3c+n/+B/cfOIE/yUSoeDzuVYZtn2NWlks3GUWCgVXwr5ixQpWrlx51u3s6vbymtbiYgyzkVYx\nzB6Bi2Gfm19ne9atY2r+2B/4qQyzDYrPxDAxSgyzDZLFMK1zyzDLO0VcJBoshmk9agw2x0gMsxwR\nw8QvwDFM/IIqw8QvwDHMRsyUv6ScVDFM/IIaO8UvfRaWX1BrbKzPVAwTv6CWNyp+QfU0QPzSPc/M\nzDh+QTWf1/IL4Fg4zIX/8i9cODnJW6JR/i0Y9PBLz5HlF+DJFzvb+VV3pl6AtbW1USgUGBwc9CRE\n2y/jhoYGJ5opU+hWD+vVwECpxExLCz9pbqYyX0ar7uq6VjqdZmJiwlNqqrwFmXRX7JFTQ0ODR/1b\nYXzBEGoh7Ww265yLSCRCT0+PRyW9q6vLlcBCNbSrRFSr0Kv/T+NOpVJMTU159Eby+TyZTMaVYp88\nefI55bLK27BhaKvxFI1GWb58OUuXLnU5C3LGEomEc0r0fvocrG6OvhzUVFUlzJoXaUhBNR/r/PPP\np7293fMFkUgk6OnpcWHzvr4+UqmUU/kVRE+dOkU0GmXiqqvI3347TYcO8dsbNvDD3l7uueceJz1h\nu6wLkFZ8zzpqMzMzdHd3k0gkPPIMdavbYqbj9cUYpmfOrh2rr5bJZPBVKtwwv9l4ZudOj5SJZZg2\nd5ZhYpT+awWCxTCNQQyzekq2FyngYZgcBDFM/NLf6TjOSqRYTkJNikVrTQyzeapi2Mn543rLMJs7\nK6fOajyJX4BjmF3DYph9PzlN9pjP5/N5mkKLYQs1pCy/7HxrzGKY+AU1hXfxCyDU2krywx+m7c/+\njP8ci5HessXDL6gWGVl+QY1hZ+IXcNYwrO5MvQDr6uryPChQfRAWima2trYSDAY9kv2BQICJiQnC\n4TDvLRahXObAjh3kSyWYF6FrbGz0tDuxOzzrXITDYbeItCOLRqPuoa5UKm6xQU1h10adpFxr8wME\nGUXZ2tvbWbp0qSdCcuDAAU6fPu1pQ2ObnkJtwdqE94aGBhfRWqhmbJMqLdgAV6kj+C5ZsoSVK1fS\n0dHhqoXUFd0m/WtHa3fayWTSoysTjUbdjtJ2co/FYh4tqvb2dvr6+jyfSzqd9ujmnDp1inQ67RLu\n0+m0g4RL+L3xRpb8/u/zkelpuj75SR5//HEmJibcbl7X6enpobGx0ZO/VS6X3fWOHDlCe3s7vb29\nZw2I6vbymxyLF8owbbbEsCuDQZbk85yORhlZt47C/v3ui9EyTM+0ZZjWtxhmo+JimHgihtkCFF1D\nz71lmNVhisfjjl96P6jxC3AMswnb9r2gxjDxS/djK7PFsMX4BVUHUvwCHMPEL6gllotf+jvLL6gy\nRfzSmBTtE/elRSV+6f7EL82x3+93/IJqFaDll95v9O1vp/UrX+HiiQl+/bLLPPwCnPMlfun+F+MX\n1J2pc8q0SJuamtxDZ5Mq5XxALUQaiUQ8C0sLNB4O89b5f+9fvZqyEZgTtLQj0YKyX9qq3pOTEIvF\nSCQSntJghattaFxRMSt2CVWwavHJMZNz1d3dTUdHB4lEwi12LQq7I0mn0x4AKRk8EAi49y0Wi64U\nWX+3sMWNdp2BQMDNqRKxtbPaC0w8GAAAIABJREFUtm0bO3bsoLW11X0uY2NjtLa2kk6nOXjwIFDd\nCanLueZA11X0SgnqtpIll8tRqVQ8R5inTp0iEAi49jmai2w269R8x8fHPVDWPUUiESYmJgA4ctll\n1U7yQ0M0Pfwwa9eu5ejRo54vHt1PIBBwsLF9HqG6W06n0/T29rr7rVvdFjPrLC3GMHtMfSaGvX9+\n3e1fv545U8IPXobZYzcxzFbvBYNBxx7LMK0FMWyhmPCZGGYds1Ao5Pil6ycSCc+XuhgmJ2JhSxf9\nO5PJOH7Z6y/cFNrIv1hjC0na29sdvzTHPp/P8UvzcvDgQccvqMnRWC6qR6FN1o9EIo5fUJN5Eb8A\nx3OZGLYYv6AaXWxubqbt7W+n+xvf4Lzvfc/DL/u5iV9QFT1djF/AWcOwegL6K2zXFYt0VSqMtLcz\nOr9bqNu5YZVwmNPvfjcA2+6//1UeTd3q9sItBLxr/gv8iflWUXU7d2z0/e+n4vOx9qmn6Jo/2q1b\n1eqRqf8Ds+FxHd3pDL+zs5Pm5mZP48i5uTkmJyc9rQn0709EIpDNsm/7dk6Pj7udhRL57LGbdEX8\nfr/nLN7qjVhhOptrkEwmPRpI0hKxJbJKWNT9NTY2Pm8Tyng87jrML126lIaGBu677z7PLmxhaFxH\nV/Yo0Ib4NS5r2hHaFjnKx9g2ryR+1VVXucRzmZJWE4mE65elObG7rXA47Dk+U6Qsn8+7z08tGGyk\naHJy0iMc2tjY6Eq47dGoolwa09zcnKf31sjICCfXr+cd4TArDh3i9dEoB/N5pqenn9M1vlgsunue\nnZ3ln/7pnzz5bslkko6ODhdOtz2/6la3hWZTFBZjmBVuFMNsg9p3Ax2VCqe7usisXcvp06cpFouO\nG5ZhWsOWYTbiY+VULMO0ZsUwG/ERwxRlswzTWliMYeIX4Bi2sFWNHbsYtjC3Sj38rNmIlhhm88m2\nbdu2KL8AxzCbc2sjTfb4zAoni2G2CbXmTPzSPYpfmnefz+f4pTk+E7+OZDIUVq9m6zPP8NHhYXbN\n8wtq6Qj2RGDbtm2L8guqPD0b+FV3pv4PzC5SgciegyshG6qLYWZmxrOg9e8t8TiXTE9TCIU4eMkl\n5MfGXN5PKpVyZ+UWQjb3CfCE1MFbdSMnDKrHVVpoDQ0NLrFSYfZUKkUoFKKxsdElRHZ0dHD48GF3\nLAU4UGmczc3NvP/978fv93PHHXcA1QXa3t7uAarMJssvFL/U38pUCZJMJt21VqxYwRvf+EauvfZa\n91lo4elzUXK9DYNLiFDvbyuSrLOqRW/1t2ySv5zC8fFxN5+6biKRcPlQR44ccc8GVL+MlM+hMHg6\nneb8bdsY/7VfY9mf/zmfPXGCBwcGuG9i4jmfayqVcsmfy5cvp6ury/0MVUC2tra6pOKzAUZ1e/nM\nbpQWY5iOgCzDLMt+OxCAUok9O3cSni+2aW5udseDlmG2mtmmEljT+luMYeKXxpLP5937WYbpy9ky\nTM6aGCZ+AY5hYpAYZvmlsUHNqTkTw8QvwDFM/AK49tprn+M4NDY2On7p2qqqXPj5wHOb11unS/pb\nNsnf8kt/b7kohi3GL/2cTqc5//zzCf/xH1O+6SauO3WK961Zw1fm59rOiT6fU6dOLcovqBZGnA38\nqjtTP8VCoZA72x0fH3fCllr0qnrRwy51bsCTWB1paODvu7vhyBGm3/xmJueVZ21eU1tbm8cx8/l8\nrvWDvX4oFHJfoh0dHQSDQbLZrFsM2WyWxsZGTyJiIBDwLPa5uTkqlcpz2kUoEVTX7uvr8zhzlUqF\n9vZ2brzxRrcY7rjjDk81Tblcdo05BaB8Pu/JpdL72c7pPp+PbDaLz+fj0ksvBeCmm25i3bp1btyp\nVMopHssxbGxsJJ/Pe7qjFwoFT55DJBJxooRywpQjZnPS1IpCOzcB3X4hKCFU/9PfNTc3e3arTU1N\nnmak7e3tBAIBBt/1LlrvvJPmQ4f4u1Wr+NAb3sCuH//YzRNUc752794NVMFcLBY9ysnJZJJcLuee\ngxMnTlC3uj2fiWH6Ql2MYfYZAzwdA64PhdhRKFBsbuaxCy+kMJ/rp7wmwMMwMcsyTNcXw+QAWYbp\nvcUw8QtqDos2KJZh1uGIRqOOX4Bbu+IX4BimTaEYJn5p7JVKxfELaqcDtvm87k9jF8PEL6gySfwC\nHMPEL8AxTPzSXFl+aW6sHIQYZtuBNTQ0ePileRC/NAaxRRtmXVP80nMgfqX6+hj65V+m/6tf5YvD\nw0zt3MloNMquXbs8/ALYvXv3ovzSM3M28KvuTP0Ua2pqck6CdkfRaNSFaiXHL89aydlQ+2Ls7Ozk\nT/v7Wb97N5V4nODnP0/Pgw8yPj7uXtPQ0OCiHHrIWltb2bhxI8uWLXPj0SJQmLu5uZmZmRl2797t\nOXbTggQ8cNIus1gsuiMv6aUMDw8zOjrq7q2jo8PjrOnvGhoaaG5u5t3z+T+9vb3cdtttTotKZbwL\nk1dtSFmvs05RQ0MDl112GZs2beLyyy93c6ddEtScHZtwr+vb12lXJRjYI0abSKpyb30ZxONxT+8v\n3bfaWkB18cfjcSYnJ90XVHt7O5VKxZVLNzU10dzc7Klo1Odb9vt5+r/+VzZ/+MMM/OQn/NGb38wf\nvOENAOzatctVCmp3rVYcgtHExATZbJZQKOS+jFQiXre6LTQxTPyCMzPMJmdDlWGdnZ0sLZX43/Ps\nyH32s7TP6xaJYdp8WIZps2UZZiMpWiOAh2G29cnCI3cxTNexDBPHxDDxC2rOmtVmEsO0WRbDxC+o\nccM6N2KYPSrTHFx22WUAjmHiF1SZZJ0dyzC7yZ2dnfVEhRKJxHNSJHTEp5/FMPFL47T8girfxC/A\nMUz8gqpkjeUXVPni+FUuc+Kmm2g9cICmH/+YPz92jH/+1KcIhUIefkGVVYvxC6rfM2cDv+oJ6K+A\nvSWX4wOPPw5A+ktfojIv/li3c9eyS5Yw9Cd/QsXn45Lbb+fyeZ2putXttWYd5TK3zsyQyOVIXnop\nuQ996NUeUt1ebQsEGPzCF5jr76djeJhrbrnlnFdGr0emfopFIhG3s5DadSgUct5/NptldHTUhTVt\nNKavr483ZLN8dXqaQKVC8pOfJPf2t0OpxJYtW2hvb3fX9Pv9DAwM0NbW5qJHyWTSee9KEm9ra/Mc\nxdnGo1K5Xb16NXv37nXJ2NqJ2H5b6p0VjUadYKS6umu3qCNFn8/nomVQS1rUrujKK6+kv7+f++cr\n1B588EEGBwc9R5bWbGi6UCg4ZfFrrrmGHTt2uPvQHKhvl/17e1yoBNiRkRF31KncKIXFrVyEdljp\ndNrdn+3GboX2uru7XT6G1bHJZrPMzc15BPLGxsZcLsKKFSsIBAJMT0+7a01MTHhC5zNXXMHIpz9N\n7xe/yGf372frBz9ILpfj3nvv9cz59PQ0PT09HnmMfD5POBx2O/59+/Z5chLqVjeZGCbWwJkZtjCp\nel1PD3cXiywtlUgvX07qr/+asM/HlvkWMmKYnk3LMEW5LMN0LC2GWfFOMWz16tUAjmE2kiKG2X53\nYpgUtcUw8QvwrCcbYQqHw1w53ypFDBO/9JozMUw8EMPEL8AxTPwCr1agflbek5gvhtnczsbGxufI\n3bS0tDh+aZzqUWh7KVp+6XX6zAHHMPFLc2r5pWst5FcxEuHE//yfrH7f+1j11FP88bZt/Nb27Y5f\nUBMTPRO/AJYtW3ZW8KvuTP0UCwaD7ujIHpdpQZ44ccIl21nr6+vjE5dcwidvu41AuUzqox9l+CMf\nIXXsGFB9qFeuXOlC4RJhs6J1Bw8edAtbDsDGjRvp7Oz0NCR9+OGHOXLkCK973esAuOKKKzwVhhfM\nlzA/8cQTbmErL8A2Gp6cnPRUB6qSxVYYWnV1QaZSqbBy5UrnFO3YsYPvf//73H///c4RFQxLpZLn\nd9u2beMd73gHAGvWrHE5Ggp7S/1c0JUjJfhqLqempjhw4ADHjx8HasnlArqSMe3RXzweJ5VKkclk\nPI2jOzs7Wb9+PVAVCVXncwF2YmKCVCrlyXnT3+rzTKVSrqrF5goUCgX3JbZ8+XKWX3MN8QMHSNxx\nB6+7915OvO997Nu3j7GxMQeb6elpGhoaPN3Zs9kse/bs8TR7/nmHUd1eHhPDFh6X/TSGLe/t5TZg\n6fg46aVLmfn2t0mFQqSOHXNflmKYFcIVw6QfZBm2ceNGAMcwjcEy7IorrgBwDLvASDCIYdqgWIbJ\nmRLDbDWxGGarBcUw/SyGiV+AY5jVEhTD9DsxTPyCmvim7d5g2+NAzYEUvwDHMJtcnkwmPfyC6tGf\n+AU4holfAOvXr/fwC6qtcMQvwMMwzVVra6uHX1DLBX4Ov5Yvp/Hzn2fJJz7Bxu9+l5t/93cdv6B6\nLLkYv3QvZwO/6s7UIub3+z15Rlp08Xjc5cokk0ni8biL5qhU+MNveQuf/Pa3CReLJG+4geGPfxx8\nPvr7+wE858+yYrFILpdj//79ANx9993OOVD0SD/r/bq7u+nq6uLDH/4wa9ascdc677zz3HiLxSIz\nMzOeKrV4PI7f7/cIRmrxaAc7ODjIkiVLWLZsmScJHWrJ8fr33Nycu/b555/P8uXL6e3t5Yc//CGA\nUy1/9NFH3UK+9tpruf76650DMjc3x/j4uCt3hupitJUtKv+1+QCqspyZmXGLWD2p9HOxWKStrc0j\n7rdq1So6OzsZGxvzLPRSqeTySaampvjRj37EkSNHPOKi8Xjc09dLvRVt1Uw4HPYUD6RSKSYmJtx1\n9uzZQ29vL6nXv55333MP8e98hw9cfz173/tevvzlL3uS6QcHB10ybUdHB0NDQwwPDzsgNTQ0eJKF\n61Y38DLMyoSciWFSBy8WCnyztZU1+/dT7O5m4tZbycxHw/v7+x2/4MwMu/vuuwE8DNO/ocowrbPF\nGGaZJIbJkbEMsyKXMzMzjl/AogzT+hTDxC/AMUz8AhzDVGEsholfGmckEnH8gqpDJ37p/aVGLmdK\nDBO/oCqCafmlORe/9JpIJOIRWu3u7vbwC2oCo5o/MUz8AlzlsvilsZ6JX6d27uSNa9bQ/cwz/NI9\n9/D4e97Dl7/yFTfOxfil65wN/KrnTL0cVqnwnnvuITw+TnLzZsb/8A/BHBHVrW7WZru6SH7ucwA0\nfPazhIxcRN3q9mrYjcD2/fspRSKM/M3fUJx3SupWt+eYz8euX/kVyokEwTvuYMN8IdK5ZvXI1CIW\nDAYJhUKeVgaJRMKTP7Rt2zbe+c53uga3t956K/+xtZX1R49STiQo/v3fE4hECMyX1mqHNTIy4qlk\nk3Db1NSUq4qbnJykqanJ00srl8u583OoHgGdOnWKbDbrxjUwMEA6nXah3X379rm/t8dS0muxZ/q2\ncu/EiROuE7itirPHbjKrlSKxtxtvvNFF0ILBIBdccAGBQMCN4cYbb/ToMEkWYeHupFwue7ShJBKq\niOHw8LDLM9DuNJlMevKs1HYHcJ9VIBCgvb2ddevWMTAwAFQjPN/4xjf4+te/DlTzzdQwVLu0yclJ\nJy1hK49sA1a9t22inM1maWhocNeZmJhgYmKCgwcP8uS117J5zRqannmG/zgywjd6e92xhYTwNO5E\nIuFC5YqMdXV1EYvFfq53dnV76e2FMuzWW2+lqVLhr0olKJfJ/MmfULrwQgLU1t7MzIyLlIthWouW\nYXp+LcP0vmKY1oZlmNaiGGb5BWdmmD1Oy2azjl+AY9jCnnfWxDArVimGiV+6x0gkwo033uh+VnRM\nUS67DsUkaUNZkdB0Ou34BbXG7ovxC6oME78AxzDxC+DrX/+6h1+6R/ELvNp/Vg7D8guq3zOL8Qtg\n0y//Mqv/8i95/09+whd6esj5fExOTi7KL6g+Q2cDv34unCmrDv1KWkNDw3NAZDuTQ/VcuquryxPe\n/fD8QzLzyU+Sbm5meGiIofn/CTAKKVtdEuknWdG1bDb7HFDYXINKpcLU1BSPPfaYK6XfsGEDp0+f\nZu/evdVxzMy48mgt5EAg4DRHbE6PFpnGODY2xsjIiKdhsfSi7BGXVQ2W5lNfX5+TOBgcHCSbzdLb\n28tFF13kxjA3N+dAolC5BZ5MjlqlUnEOipxOO7f6O7/fTy6XcxCPRqNOrkGL+ujRo0QiEbq7u13S\n68aNG4lGo+5zyWQyhMNhZmdnPcd8+q/VtrH5YIVCgVAoRDQadc+PQKF50lFhIBBgKpnk3z/0Ia74\nT/+J8++8k/Xr1vFv819YTU1NTtUeqiXWctpsrosVPKzba8t+XhgWDAZ5WzZLU7lMbtMmpt/1Lobn\nN2V2nek5F6Pskb8YJo5Zhul3YpjYYxm2YcMGAMcw8Utjtw6JZZhNqtZ/dcwvhlnZAzHM6jkFAgHH\nL8AxTPwCHMOsoOXU1JTjF3BGholfgGOY5hVwDBO/9BlafumzEL8AxzDxS/Nu+aUx2CIDMcz+Xs2e\nxS+ocnAxfgHsf/3rWX733TQdPMhvLlvG17u7GRkZWZRfgEeA9efZfi6cqVcaQLLm5mYikYhHGTYW\nixGLxVzEJRaLeZKTz2ts5IITJ6g0NDD5trdRzmbZv38/Bw8eZHx8/HkrQ2R6gJ+vEa+tXIPanEj/\nyJ43K+ql3UgulyOfz5PJZBxU/X6/0xGxDT6tGF2hUHhOMmR/f7+ryJFZR0rzpuoQLfampiZOnjxJ\nd3e3OzuHKkTtwrICo1ATDdSCUyXh7OysA+Wzzz7L8PAwhULBXcsmvEM1D2BmZob29nYHZp/Px8zM\njEvchGokatWqVU4v5ujRoxSLRY/mit/vd0mh+nKwjUmh6jjpugujVXqdKgsHBgaqu+bt25m96ioa\n772XD83Ncc/869atW8c111zjdoD333+/u/f/n703+7Eru848vzvPU9yYOZPJTDJH5SAppbRkA4JL\ncpULttGFRjUKaKAfjAbqpR76T6hXAw0YqKfqp0Kj3t0Nq8r9Ine7SnY6lVKOpMjkzAjGHHeep364\n51v32ycibmYqactBngUkmLy89wz77P07e6+91rf4zP0Zj4H907LTwrBisYj/wQsEjv3pn6IrMZxf\nl2HKLDJMdabG47Gjf8Sxrl6vTCZj/AJgDGNfV4bpQpGZwv6ElJP4xe/wmFq0N5lMGr8AzGWYXkMq\nlXK43Gg0HIFnMoz8YvvF4/EjAe/KL2DKU/ILgLGG/AKA9957z+EX75X8AmYxaPP4BbjequP4BQC5\nhQXs/rt/h/V/+2/xP+/t4b+/8QZ+MR7P5RfP9Szw61RMpn4bxg6/vb1tL+R8Pm+uSLq1me3Gv/94\nPEZoMgF+/GPc2d8H9vfx+eefo9FoOCuqyWTiZHpwQjMajWwVoZ4rDi5OijhJocKtBhVOJhNnBcYS\nAyz1QGu1WqbKy3tW9e/RaITd3V0nzZmDPZvNOitPFZADpl6mAymTQrf7O++846zotD4XMJtMKbB1\n+47lZh48eGCrub29PRP78/+O96KudbYpAzZ1u44q94R+oVBwtjC0f1AtmW0MzCZMXLElk0knM5EZ\nPTz/6uoqzp8/by78rX/zb3D1Zz/Djzc2kI7HMQqFsLq6itdee83qIwLAX/zFXzileABYlXp/entg\nz5+pjAcZxj42j2FLmQy+73lXwn/yJ7j3ySe2zaYMo0eJDNO+SIYpH4Bp/9RJUTKZNO+LMozHJsO0\nRMo8hqnKdyKRMH7xe/V63VlwkWFa94//xgUtGUZ+ATCG0QulDNPJlF/4k8HYZCkZRn6d9DtluQox\nk1/AbLuO/AJgkygtB6TVJwAYw3QiFQ6HHX7xvPP4BUzfj7vf/S7Kly9j8d49/Kjfx18mEl+bX3rv\np8lO91Twn6C9wY7raZcEFtjXsdZbb6F34QKK7Tb+4LfkzQjs+bXXWy0kJxNUr1wBPGXwwAL7yhYO\no/qv/hUA4Pd8sW7PugWeqROMJVOq1arN4nO5HPr9vhM4+fHHH2Nra8u2+d7xVgXdt99GTdzVyWQS\nsVjMfse9bK4W2+02ut2uE4TH1SNXZ7RoNOq4ROPxONbW1myFQDc1vTKxWAzxeByTycQpE1Gv1xGJ\nRJwAd6bv0lhBnG5oFteNx+NOIVMNHGQ6cDabtS21SqVyROvGvwev23v6nXa7bdc4Ho/x6NEjfPTR\nR+aZ6vV6jn4Uf8d2pzHAVeM24vE4ut2uXVe1WkU0GnX0v3q9HhqNhm2VqAdIY0fa7batOjOZjK2y\n+eyKxSJyuZy1yZUrV7C4uIhMJjPbWh0OUfujP8Lyn/85/qdMBp+vrVmdPsa4nDt3DuVy2bZzgVkf\nCzxTgQFwSqaQYex38xj2r73f9955x4Q+2ceUYQwXIMP4d2WYP7nmqzKMW1JkGPkFwBjGY38ZwzgW\nyDAtDk6G+YPGVc6ADCO/eF36fZ5zHr/4TMgvAMYw8guAMYz8YrvzvLwv8pXtQoaRXwBM/4v8AqYc\n9nuAGL/L66RUhnoJx+PxXH4BMxHm6h//MZb+7M9wbWsL37pyZS6/gFl9QI3pPY0MCyZTJxjdnM1m\n09krrtfrzgCsVCo20M4PhzjbbmOYzWL42msoe27MdDqNnZ0dpFIpByCq+5JIJDAYDNDv923AsNZS\nPB53qoozDgKYdsRUKoVSqWT76dRe4UDTulQqdtfr9ZwOTJ0pQoIqvNFo1K5pe3sbW1tbKBaLdj4q\n6CqMwuGwo3miGla8b9a70oBuakj5NZ0YG3D37l1sbGw42wgAHHjzfKw5RmOsiMKT4CVsXnvtNZw/\nf97Aub29jWaz6cCt3W5jOByi3W6bq5qidGzfbDZrcRqESLlctirtwHSSW6lU0Gq1HD2X3A9/iOU/\n/3P8s3Yb/+fly9j1Xl7csjg4OECxWMTh4aG58BuNBsrlMlKp1KnOiAns6ZjG8JBhmul6EsPe8vpz\n8803kRmNUC6XTdtoHsM4mVGGab1LMkzjklQgWBnG35Fh/tqgWohYGaY6U/1+31ERJ8PILwDGMK1i\nQGVuXgMZpgKWZBjHPhmm59Ogbk42arWa8QuAwzBdQANwQkB47+QXj6/Fl8kw8ovHV37xWskvAMYw\nFdUcj8cOv4BpssI8fvEZhkIhxC5exOGrr2Lxk0/wJ7kc/q9W60R+AdOJrvJL2+E0WTCZOsHoLdB9\n3XA4fCTFdzweo1qtolAo4F1mabz9NjrNppX6uHr1KprNppOpx1IKHAzRaNQE1Ai5eDyOYrHoZO/F\nYjFnMkXBzFqtZhOAl156CbFYzLxJ3APXAcrSA3ovLG/A7/jLpwBTGYJCoWCrFF4nJ1TAFLBsO52I\njsdj88DxGjT+gvEMGnvF69bJTbVadVZ8PL6u8FjpnffAe9Xg1YWFBZNZYEDp5cuX8eTJE3z44YcA\nYN4oXXE2m02LmeKg7/V6SKfTzosmkUjg5ZdftuzFx48f47PPPrMV2Wg0Qr1eRz6fN3HBZDKJzAsv\n4PKFC8g9fIj3CgX82Ycf4vDw0FbsOzs7tlI0kcXhELlc7tRnxAT2dMzvLQBm8XwnMaycz+NF7wW3\n//LLiFcqOHfunAlpKsO0nFUkEjGuKcM4jpVh7J9kmApmkmEvvfQSABjDyC9eazgcdso/8V54f2SY\n8guYMoz84nXlcjk7NhlGfgEwhmlcERmmgeucXPFY+id/x8kNPYLKMH6HDCO/+AyVX3yW5Bevc319\n3fgFAB9++OFcfgEwhpFf/n5COYg33nhjLr+AabWIZDKJTCaDc7/3e8Ann+CdUAj/+927J/ILmAld\nn3Z+BZMpn7GTlUoljEYjRxlWvRyc3Fjg5tISvsMMiR/+0HH5Xr16FZ1OBxsbG04woHpEotEoQqGQ\nTaqA2UCk9wmYejzW1tZMjZdbjxsbG46e0fr6umWfbG5uOlk0NAYVsgNzMqDB1JykaE2n+/fvIxaL\n2WA4e/asE2hNaKq6sNZlUo+Zbrvp99Xdq9k8zWYTBwcHqFQqtjoNh8OYTCaYTCbOZEa3EjjwdQsP\nmMLp/PnzBo3bt2/j5z//uUFL1csJkW63ixdeeAGj0cjaPJvNOhPU1dVVLC8v48KFCwaRL774wirC\n6zOoVqv28otEInjy5AlevXgRaw8f4s3xGKPRCL/+9a8ta4b1vnTbZDKZoFAoIJvNmkxHYM+nhUIh\n6+PKMOUXcJRhP8rnER8OUVtZwZk330Q4HEYqlbLJ1DyG6Rgmw3QCRIaxDBYZpluPZBivkww7iV+A\nyzCdDHDSpZMUKo5TUoUMO3v2LAAYw3TSRyYpV8gw3jMZpvxiu5Jf/B35BcAYRn4BcBjG44fDYYdf\nwCxAnpwiw8gv/pvyC5guRskv9o9qtWr8Yrsov4Dp5Hcev4BZ+MOTJ0+wlMuhDOBqo/G1+QXgVDIs\nCEB/inadrlrPExFYYL+pVb3J3Zk7d37LVxLY82Lf8l76O96LNrDAflM7fOMNTMJhnLlzB9nnJJEm\n8Ez5TNNrqb3BFRYDMFXAjDPpTCaDFQYav/EGNsXtfObMGRQKBfz61782IU2t+A1MVw6NRsNilIDp\nrJ8uZ13l7e3tmVdmcXERly5dwve//31b3fz0pz9FNpvF5cuXAUxXI9vb207sFWOQMpmMbRnyvLoq\nGw6HzkoknU6j2Wxif3/fViRnzpxxAlwpU6BbpAx6HQ6HjjCoet20yDONLnte797enrmp/W72sefF\nYTvpapL/prXyut0uzp8/jz/6oz+y1ePf/d3f2RYeMF0hMYaCx+Yxms2mE4OWSCRMpPTVV1/FrVu3\n8NFHHzlCe6qn0mw2kc/nsbi46MSJPHjwAP81m8V1AOdv38bquXPY39+358CYuGKxaG28ubmJdDqN\nYrH4WxOIDOyfhlHiBIDDMPbpkxh2jiEA169jeXkZm5ubCIfDtgWtDKN3imOQng9lGPumMox9kgyj\nh10Z9tOf/tSu6/Lly8YvAMYw8gCYMUxjKOkZp0eLY4f8AmAM4/2RYeQXMJMiIL8AnMiwefwCpswl\nv3g+f6gDOTWPX/wt+QXuP1CBAAAgAElEQVTAGEZ+AdP3lfILwBEGkmHkFwD8zu/8jsMv/m4ev4AZ\nlx48eIDhcIgra2u4sLmJf5HJ4D8cHh7LL7ax8ovfOW38CiZTPtMyLYArSElhOA2k5AAuFArIew9/\nt9/H7cePbQIUi8WwsrKCN954w75///597O/v20s8nU4jFosd0VTyQyEajaJSqeCLL74AMHM5v/zy\ny6bjcffuXayuruKVV14BMFU4bjQaR/b5/YGVrArOLSdClsrBwGyCpddJ46SBCr75fN6AnclkUCqV\nkM/nrV1YkkV/P5lMjpR5YEwHMA1eZFwBn0EsFjMtGFU3Ho1G9gJhpl08HrfBn8lkcO7cOaRSKRP3\no24XYw0YBzEej53MwMPDQ9RqNbuX8+fP4/vf/76JfdbrdbRaLdRqtSMaPCqSytgO3l+tVkMkEsHt\nSASNhQXkDg/xk4UFfObdO89F1WnVvopGo9aPeC+BPX+mmXrAjGHa745j2JL39/jaGnZ2dnD79m3E\n43HrT8owbpWRYZy8KcN4PmUYz0WGadIKGXb37l0AMIaRXwCMYRoGQIZxe5AMI7+AGcOUpScxjPwC\nYAwjv/hZPB53SrLwt/x/ZRjPUa1WjV98DpFIxPjF+yMXVM9J+QXAsugYl0uGkV9sY+UXjwXAgr/J\nMPILmIp9Kr/YprzH4/jF+yO/qtUqPltdxYXNTfx+LIb/gOP5xeOwzbQfnTZ+BZOpOUbxS01NBeCA\niCuIci6H9HiMSTiMn/393+PGrVuO7P67776Ll156yYIrM5kM9vb2LIB4Y2PDCUgHpi/DSqWCvb09\n5+VeLBadmAimnn7yyScApoGVL4irPpvNmmCeep84GDRGq16vH7si0NIGw+EQBwcHdu0s9+DPwNAM\nO3p7WB2c164psNxHVzXjVCrlrCar1aopJ3NQU8hP47FYKkJXln4bjUZ4+PAhcrmcna9cLqPX6xmI\nc7mcrUTZD9jmvV7Pgi+vXLmC5eVlfPrppwCm6eaM9eC1M4OSE1NWlWcbAtMaZZlMBuFwGPeuXsUb\n77+Pb3nQ5iQ3n88b7PhceG0UJgwsMMBlmMZMHcsw79+a0Sje/9nPcPPmTUQiEet3yjB+RoYxQ00Z\nxr6pDGPfJMM4/pVh9E6QYeQXAGOYLgrJMI6leQwjvwAYwzj25jFMvdVkmL+8lMYBkWHkFzD15JBf\nAIxhKkSq2YS8TmZI+o384rVHIhHjF9tN+QXMshMZa0WGkV8A8Omnnzr84rXP4xcwZZjy67NSCf8C\nwKuyCwK4/OI1KL94z6fNgpipp2TL1G9aXMTklMviB/ZPww6XlgAAy1J/L7DA/qFshQxbWfktX0lg\nz4Ld9XYALlQqCH3Jd58FCzxTPqPrkVlRrVbLEXDjykvrtIVCIbzszfQPz53DL37xC1QqFcfLRNc6\n0+Tb7TYePnyId955BwDwne98B3fu3LFMNV4LZ/Ocqd+9exfLy8vmOaHu1NLSkiOCubu7i/fffx/A\n1BVPj4VmxVAKQbViuJ8NTFce6XTatGoAODFkem8Ajnyuf0+n044+DE1XIFrdnPeiMQLATNOl2+06\nZV74nxZE9qcXl0olJ/6K5SO05hVXTSrzwHRfLQTKa6E9fvwYm5ubtrLqdDq2auZKkbFeWo8snU47\n8SwsaBoKhbDpPeMVb8uG52cGk65Wua1RqVSOxG0E9nxZKBRysqLIMH52HMNiAC54Y/xeKvWlDKNn\ngwz7zne+AwAOwzhmlWHcwiPDVHeKDONnZBj5xWOcxDB6TMgw8ovXzvigk/gFnMww8gvAiQxTfgFT\nhqkkgYZI8PsUNFXhYm4XchzTM0Z+AVMvkJa/IcPILx5f+QXMRDppbEvyC5h6h5RfwNR7NI9fwPR9\nofzqxeNopVLIdDpYAlD/ivwCcCoZFkymfOYXeQNmsUOJRAL1eh1bW1tY80otsIO/5O1BPzl3Ds1m\n04LVgWnn2djYwGg0sm2+YrHoBOG9/vrruHr1KnZ3dy3o75e//KUTZwDMihbzZV+pVNDtdpHL5exY\nhULBkQ5otVr2fd7LYDCwIHgGjrNgKLfvKpUKwuEwstmsDaDxeGxQ0H34k5S3Nc03FAo5++DxeNwJ\nxPcXTFZTLRgCSWPSADjtotcFTCcp3W7X2QKg1k273bZjlEolJwmg3+8jn887k6KDgwObyPFPBvir\n1g1FABnvwVqBqjU2mUyws7Pj1AskSPe8Z1X2XlyccHU6HQMmjdsQjE8BTieQAvvmpv1XGcbJxnEM\nezUcnsoiLC9jfzBwGMbJgjKMrCHDXn/9dQBwGPbLX/4SAByGqUxAt9u1l6cyjFIiZJjyi/fCa1KG\nKW+5rcjxSIaRX7wujYWcxzDyS++B/OE1zOMXv6/bjGSYJiIpw/S6lF/AlMOqN0iGkV/AlLnKL167\n8ovXT37xfpVfwDSxYB6/+AyVXwBQz2aR6XRwBkD/K/KLfz9t/AomUz7TGBvqi9CTsbS0dETwjmJx\nl73Osbm+jrgXC8TVG1eCjx8/tonS97//ffzkJz8xKO3v72NjYwMPHjyw0jSU+deiwu122+msGu+j\nnZzfBaYdM5FIoNVq2eDgXn0sFrNJF5Vw6aVptVqm+6IFMlkWgaaxFyd9FolEkM1mnSBurkJ5vZ1O\nB91u1wazGkEWjUaPZLroipMxTP5g/slkYgDhS6RcLmM0GuHw8NDapVQqYWlpyQI72+02KpUKtre3\nDQAEVzabdYJeB4OB9QtO+DQLKJ1OI5vN2oQ2FAqhXq87OlqTyQTpdBrRaBSHXlstdDoIAY73KpPJ\nOFXduWLX9g3s+TSNsVGGLXnbxscx7Lveb/fW1015nAwjV5RhDFYmw6gLpAzTUktkGJlEhnEhpwxT\nbw61knjNZJjGS5JhWo2gXC4bv4BZYLceS9lEO+kz8guYjUPdCUilUsYvACcyjPzidwA4WcFkGPnF\n8yu/gCnDyC8AxjDyC5iWbVF+AdOJtC4eyTDyi/1B+cXnNY9fbA/lFwDUMxms7e1hHcDWMfzi/T0L\n/AomUyeYBgLyJTqZTGygs2Nz0rXKdNulJaS8cgOUz2+32yaI+eDBAwDAtWvXkM1mbaLW7/exs7OD\nW7duWVBhKBRCuVy2lz8wzQLUlz9d3JPJxEBVrVbNvQ3MViOqfDsYDBCNRjGZTJw6VjpR06BVlWvo\ndrsoFApObT4AjlcGmE4oNHOlXC4bPHnPqgLM9Gm/Cm4oFLIMPLZZIpEwjw+3MbjyBKaA0iBRpojn\ncjlnYjocDpFOp52MnPX1dRMqvHfvHm7cuIHd3V1n6491q3jPhULBUaFnm2m6dCwWs1pjfE7cDtEt\nBAJptLSEXjyOVL+PAmaTY67cI5GIPQN6wNQ1f9pSiwN7euYv7VSv160fHsewK96/HS4vW4IHGcZ+\npwy7du0agNl45PmUYeSCMoxZgGSYViwgwzgBIsPIL2C2Vc4XvzLMv8XvD7qnXAM/I8NUaNM/CSLD\nyC8AjtAo/+Skz+8tB2Z8XFxcdJhPhmkoCRlGfgGzhBfyi/eiZWHIMPILmHoJlV/AbOuP235kGPnF\nNuY5eB+TyWQuvwBYGAf5BQBN73pXcDy/gGkfVX7xOZw2fgWR0k/DJhMUvElDW4rtBhbYN7JQCDUP\nRmd/y5cS2LNtDDlvBfwK7Cla05u0PQ8pDYFnymd0M2azWVSrVafcCYPtdDspGo2isbeH8GSCQSiE\nmBeorEGSvV7PasJxC+/+/ftYX193JAdGo5Hj8qW2yfnz521Wv7u7i0qlYquiWCyGTCbjeGW4+tAy\nOHShqheJmio01p/SfWveI127dP36t9p4TL9pHEMikTii/RKJRKzNGZioNf1YaoGV3ovFIjY3N+2e\n+Ky0x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Pnss8/w/vvv48mTJ5iMx3g5nUapXscfLC/jtte+h4eHKBQKTpAq2479IbDn09in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\nPkcLcV1dnYkyoBLRdXR0UCgU2L59O1CJ6AYHBykUCo4ttPb2dtOOm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qszPT1NczDIO++8\nE28+z8HLLuOz8y3kdm2bNLu03aF7Wl9fb2recrkcjz76qEMUb6E2Tc1q9ovMHkB+NoYpw2QzTBIK\nPxkb4/3LlvEvfX203nEHTatW4b3hBu66+26TDbEZZm95iWG26OSFF17IJZdcAuBgmC0I6vF4DL8A\nwzCtO5thytaIYeKXjhWPxw2/dKy5uTmTlRbDxC/AMMwuCBfDVGohhtkF6GKYLZujbUy7rioejxt+\nAYZhdo2RMljiF1S24uwmHDFM/IKqjpXOpb+JX/qeVV9ml3dMT08Ti8V4w759rOzrI1dXx4fr6+nr\n6Tkjv6BScmLzS9/r+cKvmjP1LC2VSpkfbqh2bSndWl9fb4TK7K2xWCzGgd5e3lAs8teJBK9OpVj/\n0Y8SuuUWZpcv5+abb+bYsWMkk0kDAC1sqO4r9/f3s2/fPpMybWlpoampiYaGBnO+6elpMpmMgVkg\nEMDr9ZJIJIyjVigUaGxspK2tzSzQkZERPB6PSb27XC58Ph+BQMB008zOzhrHQwsnlUrh9XrNdmFr\nayuZTIZkMunY+ovH49TV1TnqjGwLh8NmOKctflkoFBz6XIKRQFFfX8/atWuJRCIOTRcNH4WKEzo2\nNsbU1JR5DVRgMjg4aO6BagpsRV4VxQpu6k7S/dD3oynq+iwf2LeP+KlTHI/F+Jv2dnofecShK5NK\npcxAU7tuwOfz0d7e7ij6j0ajT1NXrlnNfhlbjGH6EbQZJgchFotxy8mTBNrb+UJ/P55//Ecub2kh\n/qY3cfPNNwM4GGYHV1BZI3K6xDAxw2aYtrLEMPELMAzT2rAZJidCDBO/AMMwm1/67HLCxDDxCzAM\nE78Aw7Cz8Uv3T8XxulbpbS2cqiB+AYZh4pfeZ/MLqpMsxHwxTPyCKpvson5pgNm6gNL20jFVEvIq\nv5+Nd95JyeXi7zdt4tF5R+pM/NL3q/NJW09F/+cDv2rO1LO0XC7n+LGHSlG0orfOzk4j628Pr5Rz\nMTI2xgfCYZoDAS4/fZrud72L8qOPcsMNN3DnnXdy7Ngxs7gjkQjJZPJpirV9fX2mm0MwyuVyps5H\n8JMDpD1wey87mUyaa1amJpVKPQ0QUHFEtBgbGhpIpVJks1mHkKZabnXdsViMRCJhFr8dRekc9fX1\nLFmyxKH4rj18e3yMXVw/Oztrzqvaia1bt3LZZZcRiUQMBEdGRnC5XMbpLBaL5PN5R+ZNKuaKfnU+\nu8ZARayxWMz8+Ggcg+08qR1c73t9Ps+6HTsoeDy8LRTi6I4dZvCpPksmkzGDW224JBIJgsGgI1ul\n9mWodvzUrGa/jC3GMGV2bYbpWRPDfjg7S9fmzfzZ9u24P/YxVicS3HDDDQAOhokZNsO0XsQwu7hc\nDLOlS6LRqOEXYBimTI7NMHFzMYaJX4BhmO30qU5Ma10Ms/mlc8jxFMPEL6h2QtuNOeFw2MEvqDBM\n/AIMw8QvqEjb2PyCCk/t+ymGiV9QHeslfgFGGFXHEcNsSZ5iscjmtjZe9dWvAnD35Zfzr8eOLcov\nXZPumZ4tZavOB37VnKlnaVLcFSgKhQITExMmNR2Px2lubub48eMOxddMJkNzc7N53Tumpri9qYnV\ng4PMXnstmx96iMDv/R59fX0OVevh4WF6e3uNV18sFjl+/LgZv6DxBydPnnSk8e2F7/f7HcWMUHHC\nPB4P+Xyeo0ePApWMlp1+VcZkamrKvL+pqYn29nYGBgaM8wY4ABiLxcx8Jy1adZ7YTpjL5SKZTBqn\nT91+brfbMUfMLvJWsXYgEODiiy8G4LLLLiMYDDqK1PP5PLFYzABPk+XdbrdxTG0VZZ1DXU7qslR0\nnEgkTDdKuVxmbGyMkZERRzYwnU7T3d1Ny/g4r/7xjwH4RDzOrvnzeL1ex2xApbvtAnyfz0dDQwMT\nExPm75p0bzvn5yKMavbrscUYpuyLzTA5HzbDvnD6NOl4nE9OTOB6//vZfMst8PrXEwgEDMO0hm2G\n6W9imD2CSgzT+hDDbH5BhWFywmyGKaMlhtkZXzFM/ALOyjDxS+eSY7TQCZOzI4bZMwPFsLPxCzAM\nE7+gWqQufkEl6LT5BRXH0+aGGGZ3aaowXvyCiqK7+AUYholfAKs6O3nzHXcQnJ7mkWCQPz59momJ\niWfNLz0z5wu/agXoz5Nl3G6+cM01zK5Ygb+3F669Fo/VEVOzF6YlpqZ43+2348/neWL1am6dd55r\nVrNzzf4tGuXODRtwzc7Cm94E3//+831JNfufWrnMm+67j7ZDh5iMRPhwYyOlM2T6avZ0q2WmfglL\np9OOlGWpVDJRUTgcZunSpWQyGeP9a9vIVp71eDzcu3s3X3vrW7nhppto2LOH+htvJPbVr7L1Na8B\nKh78zTffTLlcNhmtfD5PqVRidHQUgN7eXiKRCKOjoyYz1dDQYCIRcA7UtNVqPR4PR44cMQXhiqZs\nTSk7XS1rbm4mk8mYbahUKuXYivR4PLS1teHxeBzR1cKiQ01p1/696glsLahIJEJTU5OJGlXb0dHR\nYYrwg8Egx48fN1PndT7dL71G34VdM6WaBkVKEhK00+cXXHCBQwA0EomwdOlSRkZGjILz5OQkW9eu\n5S1f+QrR6Wn6ly7l7XNznB4aMhIV6XSa6elpRy2DnhtZIpEw4n+SRkin00bHTN9LzWr2P7GzMUxb\nODbD7G0jMUzr88/yeZpf8hIuf/BBSjfcwI43vYnO//W/uOaaa8yashlm1zuOjo7S29sL4GCYmmTE\nsIVDze06JJthypiIYfZ2ls0wbf2LYco4iWHil96nDPeZ+AXV2aR2PZQYJn4BRsxS7xPDxC/AMMwW\nQNb2mu6bvjNdn85XKBQcQqgqYRC/oDq4WWwRwyYnJ7nsssv4rTvu4LLeXvI+H+9IJNg7/zvT1NT0\nrPml5+h84VfNmfolTUXU4XCYQqFgaoPK5TJtbW1ccMEFPPnkk0B1q8hWF29sbCSdTvONe+7hzqVL\n+erUFO2nTjH7539O8WUvA4+HnTt3smfPHubm5hw1PT6fzzhqu3fvprOzk1gsZtKtk5OTJJNJ855y\nuYzH43FsZxWLRU6ePMmOHTtMUagKLZUal4ZIfX29+dvY2JipYbCdEqgukuHhYQMWbeFFIhGCwaBD\nAFS28N/2kNS6ujq8Xq9xHnO5HA0NDVx00UXGUTt8+DAnT54knU6b62xvbyefzxtwdXV1EQ6Hjbqv\nzqPCS4FY90n35MILL+QVr3iFURfWffJ4PASDQbPdsLylhbXvex8MDjLd3c27GxrYu2MH8XjcAFCC\ngXI6bZVgWTqdpq6ujosuuog1a9YAlcGtcnihAuWFk9hrVrNna2dimJ4rm2Hiis0wBRbpdJoP5XJ8\nuKODN548ye/dcgs/7OykuHWrURG3Gaa1LoZJG8pmmDrpxDDxC6rbWVrnNsPsZheNfxGTxDDxCzgr\nw8QvwDBM/NK1P1OGiV9QFRyWsyiGiV+6n8Vi0fALKk6bzS9dgz0uRwwTv6DSrGTzS9dgDxkWw7q6\nulh3773wwAOUPB7+94oV3H7ggNn2LZVKz5pfAGvWrDlv+FVzpn5JUzRjFy8DpsagsbHRRAM9PT2m\nq0HdHi6Xi3w+z759+wD48Pr1/PuBA3T29FD48IfJf+YzHDt2zDG/yT6fMjWaCt7d3W0cgmw2y/j4\nuHEk7EnmAuixY8fYtWsXPT09ZtFKGVdRUSAQMCKadgtuqVQiHA4bKExOTpqiVqh20iWTSXM+dTSq\n21E2NzfnUDt3u92EQiGHLMCpU6cc9Qlr1qxh9erVJio6dOiQqUvT/R0fH3cIlzY2NrJp0yaefPJJ\nUxtg1xfomqanpwkEAua727hxI9PT02zfvt1cQzQaNe3lbW1tUCqx4q//Gh5/nOFwmP9v/XoevPtu\nM7/PznLZBa8yt9ttHMN169axYcMGgsGgqWU7ePCgqVewv8+a1ex/YmdimF3nKYb19PQAOBimtZDP\n59m3fz//fOGFNOVyXDM2xo3f/jbZ97zHZG1thtlyLdls1mS3bYaJbWKY/byLYTq2zTAdWwwTvwDD\nMPELMAyT8yaGLayHUr2SnWU/E8PEL8AwTPyCao2ogiQxTPwCDMPEL6hkhWx+wdPH6kCFYeIXwMqV\nKx380jWIX4Bh2LLduyn/yZ/gAr586aV8edcuwy89F4vxCyoZOptfAEePHj1v+FWrmfoNscFgkDt/\n//cp+3z4b7oJ39e+9nxfUs2eobV//vP4f/QjipEIn33Ri5ic32qsWc3OFyu7XPztqlWMtrbiO3yY\n0Dvegfsc3c451yz85JNE3vUuXOUyg+95D49Y81Rr9sytlpn6JU3e9eTkpEPfyO/3k8lkcLlcJhW+\nbt06sy+tTI1qFvS+vXv38hW/n+XvfjeX3XQTgY98hCv/4R84sXw5/f39JtpQhGXrEg0PD+Pz+Uw2\nR+2ueo+dllaXRW9vL729vUxOTjq6Tdxut4k0vF6vSeva0UipVHKkvbPZrKN7Z3Z2lpmZGbLZrDnf\n8PAwLS0tRKNRR8u/XgtVfRh7ltTIyEhFAHO+zqG1tZW1a9eadDxUZnENDQ2Ry+VMlKnuJLVQ19XV\ncemll7JhwwYT1aoDyJ6pVywWTVpdn+2uu+5y1LvV19dXRA5bWlj5H/9B8ze/Scnr5XO/9Vt8e+9e\ncz6Px8PExISjlmOhud1uli5dyrXXXgvAxRdfzPHjx7n//vs5fPiw4ztfuJVQs5r9T+xMDBOPbIat\nW7cOwMEwZXfFsL3zz/0fr13Lv+VyBB94gJcHAvR/6lOcOHHCMEz8W4xhtt5RIBB42rbaxMSEqbVa\njGHiF+BgmP4rhikTJobZTBLDxC/AMEyfRa+3NfrEMPELKrVa4pfeNzw8bPil65ycnHR0iCeTSQe/\n9F3YHYximPgFldIGm1+AqcdSxn799DQrPvc5XLkcP1u9mv/I59m2bZuDX7qni/EL4Nprr3XwCyol\nGOcLv2rO1P/QbGVZqM6zU8E3VBwAr9fL/v37HYXU5XLZpI5DoRB79+7lfVNTfPHlL+eqe+5h+cc+\nxus/9zm+19lpanjkgAiE9fX1BINBisWiqenx+/00NDSYY5dKJaampohGo2b/fnJy0rze1nSy5QyU\nlrd1Wzwej4GpnASlyrWwlYofGxszCzuXy9He3m7afKFSf5XP581n8Xg8hEIhisWigcvAwADlctnM\n61q/fj2tra2OtuaxsTEjHKpjpVIp+vr6zA9BsVjkyJEjrFy5kmuuuQaopNmPHj3K9u3bjWOmz6fU\n/NDQENlslmAw6HBIvW43v/vggyz78Y8pud18ZcsWvrh3r7knS5cuZXx8nMnJSUfhqu2UulwuWlpa\nWLlypSm2PXLkCPfeey+9vb2Oiff28NCa1ey5NJthdkmAGKbpDjbDVC8jhinQuO/IEf6gvZ1/m5kh\ncffdeKNRXvaxj/GTe++lv7/f4YCUy2VTUmAzTM6UGCZ+AYZhCppshtnyMaqr0hoSw7S+AcMwu1xh\nenraUQ4hholfUJUqEH/EMPFL1zA0NGT4BZWZg+IXVKUZxC/d43K5bPgFlWDc5hfANddcY/gFGIbZ\nn+/UqVMOfkGF8RMTE3g8Hpb39/M7t92GN5dje2cnb5+epvjTnxoHSfzSfYOz8wsqxec2v/S+84Vf\nNWfqObBisWgWq90tJgcoFovR0dFBJBLhscceAyoPtS3olkwmSSaTDAwM8K5Mhv/d0MDbxsfp/uhH\nee2nP80P5zMlAwMDDg9fgzILhYIpTly2bBlLly41C6hQKBhVYtUUjYyMmDoALXZ7ZApUMloLh40V\nUwcAACAASURBVFLKWZRTB5UsTCAQMK9xuVxMTU0xNzfnUAqfmppydPSMjo46lNpV5Gg7IH6/n0Ag\nYKJCRUG2s6pRCOl02hTL+v1+Tp06xf79+8090f3R+UKhEGvWrOH06dMmW2Z3q+g4LpfL1E0AtMTj\nvOfBB1n26KPMulz84+bN/P2+fQSDQePAStDOVmteONizo6PDjLDYtWsXUHHeTp486dDV0UT6mtXs\nV2Vi2MJusf7+fvNM2wwTg8QwZYCTySQPpFL8YWsrXx0cJPrd77LK62XuQx/igZ/9zKwz2/EBHAxT\nhl0Ms48vhknt3GbYwsBW/AIMw+zhx2KYMkBimPil1wQCAcMvwDBMjpwYJn4BhmHiF1S0/cQvXZNE\nNXVNYpj4BbB//34Hv6DCMPELMAxbjF+6X8lkklfmclz1ne/gmZvj4fZ23jA1hXfeEVQjgPgFzskT\nMptfUKlfO5/5VXOmngOTOBtUFpoWtRbfzMwMjY2NLFmyxGwfHThwAKim2rPZLF6vF5/Px9DwMB8G\n3PE4b5mYYNXHPsZb/vEfmb72Wu6//34OHTpkFqhgUSwWzYO/adMmlixZYhwJr9dr0sNypjKZDMFg\nEJfL5ejWsQGkFmg7e2SPghG0stkskUjEQElzsVRkDxUnZW5uzoyngQq8wuGw+bfGNNgjX3w+H6FQ\nyDHKQf9VNFcqlcwPgV3sPTU1xcMPPwzA9ddfz3vf+16gUrCu13g8HsLhsAO6gUDAXFMkEjHSD8uX\nLydQKPCB+++n5amnyHi9vD0S4eG+Purq6nC5XI65WOooWpjeVmfN6tWrzaR3RW4qkLVHaCg6rFnN\nflUmhml92QzT82szTPyCajE5YBh25/Q0f9TSwpcHBqj71rdYMzND7G/+hvsfegjAMMxWYRfDNPNO\nDLP5BRWGiVk2w+yW/WAw6JBwEMPEL6gyTNcuholfek0+nzf80vFtRohh9qgsMUz8Asw4LZkYJn5B\nNaAUvwAefvhhB790/2ypGzFM7IAKX21+ASxfvpwbUyk2feELuMpl7ujs5F2ZDKFo1FyDZpOKX+Ds\nVjwTv6CSsbf5pefhfOFXrQD9N9VcLv6muZmfX3klrtlZlnzoQ8Ruu+35vqrz2mJTU7zn1ltpeeop\ncrEYf3HllTy8oLW6ZjWrWcX+OxLhjzo6KPh8RG+7jSUf/nCtKP15NHepxCsffJBLvvY1XOUyT7zu\ndfzf9esp10Q5nxOrZaaeI7OncJfLZfL5vGPW0eDgIG6323j1k5OTnDp1ymR8crmc0WGSxlJqYoI3\n5/N85YorePljj9H2F3/BWz/5SR659lojgiZ5/0QiYeqKNmzYwPDwsCkK1V4/OIeOavCmPVC3XC6b\nwvlEImEiFLvAU1knZU6UFbKjzEwmY2oNdD6NhbDHD9g6L5q0bk8VVypcEZ29FSHTxHhbZ6pQKDi2\n2O6++27y+TxXXnml+Xya02dLOBSLReLxuIkmdf2viUZ5w623EpiYIN3czHu6urhz927TOqzUv10f\npa1c25qamli1apU5/+joKCdPnjQ1W5rvZY+mOBeHgtbsN8808BhwMExrymaYsg1imN5nMyyVSnE3\ncGMyyf8bHyf605/yzpkZJv/939nR1cWRI0dM5tpmmLJQYpjNL6iwRddkM8wubm9sbDT8AhwMs7NO\nXq/XkRUSw8QoMcweBHw2holf+ps0n8QEZa/Pxi+o6kyJXzquzS+oZAntOaNimPgFlZ0FfS9Xd3fz\n2u98h86+PkoeD3+3ciV3j42xc+dOk5GzJXLg2fFL35fNL6hk+84XftWcqefY5Nx4vV6zMMPhsOmM\n0EPW2dlJLpcz2zsaFgyYRaT6gNePjXHT5s28bedOop/4BK/4+Mc5+s53gstltqzsQsByuczQ0BAd\nHR1AZR5TLpdjeHjY7MNDBXxTU1MOVWLbSYpEImbiuLpBtMBmZmYc24OxWMzUNWhCezAYNMdub283\nTqKOVSgUHB2N0piKRCIOZV/dT6hqwdizpFRnYM97Ug2DikuLxSLbtm0jGAwaIBUKBfx+Px0dHaYo\n9NSpU3i9XgOhtvp63nrkCKvvvReAY93dvNnlYs/evSSTSQMKaeIIpnb9lkzFrnouRkdHGR0dNUNl\nF77W7jKqWc1+HWY7N2KYVNFthmkgshhmDwuGCsP0vvvGx/ltj4e7gkHiDz9M3WtfyyseeICjF1xg\n+AVVhinAFMPEL2BRhukaxDDxCzAMsx0EMUxBrxgmfun4+XzewS+orG/xRgwTv3Q+KbXb3dG2Hp8Y\nZrNCxxS/oFKIb/ML4MorrzT8AgzDxC99N42NjbxiZoYr/+Vf8E9NMVVXx/sTCb5/4gScOGEYZusS\n+ny+Z80v3U/7tVDt9D4frOZM/QpsZmbGOFBQifhSqRSpVMoAJplM0t7ebn4wVVtjq/ZGIhHC4TAz\nMzN88MgRtoXDfDmXw/OpT9E9NgZf+hLd3d2mi07ZG+1bazBvQ0MDvb297N+/33RZ6MG3z6d9d/1/\n6XSaZDJJZ2enWeRHjx4llUoxNzfnKFb1eDzmOJpCbhctXnDBBTQ0NDgE6hTt2Vkvl8tlxOEAR1QH\n1WhI7cpQ6dxT545dI5HP500EHQgEyGaz7Nq1q6pavnw5xWKRpUuXctVVVwFw//33k06nWbVqFd2H\nD/OaW28lMjDAnNvNP4XDfDGbZWBoiLa2NgKBgKNQFaqZrIUggkonUjKZNHCZmZkhn88/DTbBYNBk\nBmpWs+fDbIbp2bYZpsBJDLNra8QUZVbD4TAHZma4pljkHreb5j17yF9xBd333kv3y18O4GCY/rcY\nJn4BhmH2D7fOJ7aKYeIXYBgmfgGGYfZoFg0itpt38vm84RdURYJt9XExzO4alCK5rK6uzvALMAyz\njyWGiV9Q2cWw+QUVx1P8AgzDxC+Azc3NvGH7dtruuw+Ans5ObszleOrkSbNDIobZtWQLhyjLni2/\n4OlNN+ey1ZypX4GptXXhfLxQKOSYe9fc3GweYsGiVCoZMCk6bGxsxOv18jPgj8bG+PLYGP6vfIXJ\n3bupv+UW6pYvd5w/EAjQ1tZmFvjo6Cj9/f309/ebhaaixHK5bKCn+VJy8ILBoHGKFHElEgkmJycd\naXU5Rfa2psfjIZvNsmTJEqAS9d11113ce++9pmBxZmaGtrY249ycPHnSRHN2MakteaCRFoODgwZK\ndoRmm53d0Wfdv3+/AUlbWxt+v59EIsHWrVsByM/MENm9myvuuIPmxx8H4EQsxruCQXYWizA7S0dH\nB8VikampKQdIMpmMub+2SdNl+fLl+P1+44BNT0+Ty+Uc2wP6Ls6HVuKa/ebaL2KY1qcYJn5BlWF2\nRqaxsZEZr5frp6b4z9lZVh8+zOzmzfi+8hX4vd9zFGYrQyKGiV+AYZg9T08Ms2d8Sg7AdopCoZDh\nl/6mrTGo6vPZkgpimPgFGIaJ5WKY+KVjq6FHmaJyuWz4BRiGLcYvXYPNL51T/AIMw/L5PPT1seah\nh9jw7W/jzecpuN18Khrl5rk5csWi4RfgYJgcqLMxbDF+AWYXA85PftWcqReY/TQc5jMbN/J/HnuM\n+kcfhfXr4f/8H3j3u2HeKanZszfXyAj+//ovXvbP/0zDvL7LXDDIzle+ki+4XOx/7DE4wyyqmtWs\nZs/chrxeXt/ayi2zs2w4fRre8AZ4zWvgk5+Eiy6CWjH0L2e5HL577uHqL3yBju3bcc0Hn0c3b+Yf\nW1q4fc+e5/kCz32rOVO/IrPba+Wt21mfTCZDc3OzKRZcv349fX19JgqBqiBeoVBwDOf8154edq9b\nx/uOHuV3hofhL/+S8ic+wcTGjQz9zu9w9OKLuea1rzVR2YEDBxgeHmZ8fNxszZXLZTKZDLFYzKE4\nbA+vtNPfSnEvWbLE6K4oglGaXxGYdKhKpZL5fI8//jjbtm1jbm7O/K2np4etW7dy+eWXA5V6JQ1W\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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/segmentation_3_snakes_levelset/exo6" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Region-based Segmentation with Chan-Vese \n", "-----------------------------------------\n", "Chan-Vese active contours corresponds to a region-based energy\n", "that looks for a piecewise constant approximation of the image.\n", "\n", "\n", "The energy to be minimized is\n", "$$ \\umin{\\phi}\n", " L(\\phi) +\n", " \\la \\int_{\\phi(x)>0} \\abs{f_0(x)-c_1}^2 d x +\n", " \\la \\int_{\\phi(x)<0} \\abs{f_0(x)-c_2}^2 d x\n", "$$\n", "where $L$ is the length of the zero level set of $\\phi$.\n", "Note that here $(c_1,c_2) \\in \\RR^2$ are assumed to be known." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 7__\n", "\n", "Compute an initial level set function $\\phi_0$, stored in phi0,\n", "for instance many small circles." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3xcXFhlDq6urC5XIxNjZmnD8vL4+cnJyke6i/v5+xsTHjOenz+XA6neI7sRif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lKpFAMDA3z5y18GYP/+/UxPT6s2Cfjq6OhQlr0+sz9Gw2Ew59GZM2doaWlR0ZHXG0zJvF99la97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m9GduuIGmyUm29fXxs089xTfuv59T7e3YTE+RGFNut3sWtkZwQzJX5V7SPjlPNhbucJgvvfAC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/segmentation_3_snakes_levelset/exo7" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Parameter $\\la$" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [], "source": [ "lambd = 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Values for $c_1,c_2$" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [], "source": [ "c1 = .7\n", "c2 = 0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Step size." ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tau = .5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Number of iterations." ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Tmax = 100\n", "niter = int(Tmax/ tau)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initial distance function $\\phi_0$ at time $t=0$." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi = np.copy(phi0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The minimizing flow for the CV energy reads\n", "$$ \\pd{\\phi_t}{t} = - G(\\phi_t) $$\n", "where\n", "$$ G(\\phi) =\n", "- W \\norm{\\nabla \\phi} \\text{div}\\pa{\n", "\t\\frac{\\nabla \\phi}{\\norm{\\nabla \\phi}}\n", "} + \\la (f_0-c_1)^2 - \\la (f_0-c_2)^2. $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 8__\n", "\n", "Compute this gradient $G(\\phi)$ using the current value of the distance function\n", "(phi$.\n", "radient" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [], "source": [ "run -i nt_solutions/segmentation_3_snakes_levelset/exo8" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do a descent step." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi = phi + tau*G" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 9__\n", "\n", "Implement the full gradient descent." ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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aj2Eyr02Gyby+HgxbOz/rZ87waeC9wAeBNMAzzwCQ7C61nd62jZLncaa/H7fd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PCA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\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B6E9+gjMygrNrF86xYzgLZU4yGYhGmQNCnkd4ZgasmiLBBc4AB+v/5IFzQBUo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\nMKUoiqIoirIENJhSFEVRFEVZAv8feao0Tl10utgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/segmentation_3_snakes_levelset/exo9" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }