{"metadata": {"signature": "sha256:3ee61ee020d397daa37b15ceaffc3d6b85bf35b5f6f65566c373109c5782dc64", "name": ""}, "worksheets": [{"metadata": {}, "cells": [{"metadata": {}, "cell_type": "code", "outputs": [], "input": [], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "code", "outputs": [], "input": [], "collapsed": false, "language": "python"}, {"level": 1, "metadata": {}, "cell_type": "heading", "source": ["Gradient Descent Methods"]}, {"metadata": {}, "cell_type": "markdown", "source": ["This tour explores the use of gradient descent method for unconstrained and constrained optimization of a smooth function"]}, {"metadata": {}, "cell_type": "markdown", "source": ["*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\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", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n"]}, {"prompt_number": 22, "metadata": {}, "cell_type": "code", "outputs": [{"output_type": "stream", "stream": "stdout", "text": ["Populating the interactive namespace from numpy and matplotlib\n", "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n"]}, {"output_type": "stream", "stream": "stderr", "text": ["WARNING: pylab import has clobbered these variables: ['pylab', 'f']\n", "`%matplotlib` prevents importing * from pylab and numpy\n"]}], "input": ["from __future__ import division\n", "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "%pylab inline\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2"], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Gradient Descent for Unconstrained Problems"]}, {"metadata": {}, "cell_type": "markdown", "source": ["We consider the problem of finding a minimum of a function $f$, hence solving\n", "$$\\umin{x \\in \\RR^d} f(x)$$\n", "where $f : \\RR^d \\rightarrow \\RR$ is a smooth function.\n", "\n", "Note that the minimum is not necessarily unique.\n", "In the general case, $f$ might exhibit local minima, in which case the proposed algorithms is not expected to find a global minimizer of the problem.\n", "In this tour, we restrict our attention to convex function, so that the methods will converge to a global minimizer.\n", "\n", "The simplest method is the gradient descent, that computes\n", "$$ x^{(k+1)} = x^{(k)} - \\tau_k \\nabla f(x^{(k)}), $$\n", "where $\\tau_k>0$ is a step size, and $\\nabla f(x) \\in \\RR^d$ is the gradient of $f$ at the point $x$, and $x^{(0)} \\in \\RR^d$ is any initial point.\n", "\n", "In the convex case, if $f$ is of class $C^2$, in order to ensure convergence, the step size should satisfy\n", "$$ 0 < \\tau_k < \\frac{2}{ \\sup_x \\norm{Hf(x)} } $$\n", "where $Hf(x) \\in \\RR^{d \\times d}$ is the Hessian of $f$ at $x$ and $\\norm{\\cdot}$ is the spectral operator norm (largest eigenvalue). "]}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Gradient Descent in 2-D"]}, {"metadata": {}, "cell_type": "markdown", "source": ["We consider a simple problem, corresponding to the minimization of a 2-D quadratic form\n", "$$ f(x) = \\frac{1}{2} \\pa{ x_1^2 + \\eta x_2^2 } ,$$\n", "where $\\eta>0$ controls the anisotropy, and hence the difficulty, of the problem."]}, {"metadata": {}, "cell_type": "markdown", "source": ["Anisotropy parameter $\\eta$."]}, {"prompt_number": 23, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["eta = 10"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Function $f$."]}, {"prompt_number": 24, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["f = lambda x : ( x[0,0]**2 + eta*x[1,0]**2 ) / 2"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Background image of the function."]}, {"prompt_number": 25, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["t = linspace(-.7,.7,101)\n", "[u,v] = meshgrid(t,t)\n", "F = ( u ** 2 + eta * v ** 2 ) / 2"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the function as a 2-D image."]}, {"prompt_number": 26, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "pyout", "text": [""], "prompt_number": 26}, {"metadata": {}, "output_type": "display_data", "png": 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"text": [""]}], "input": ["contourf(t,t,F,35)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Gradient."]}, {"prompt_number": 27, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["GradF = lambda x : array([[x[0,0]],[eta*x[1,0]]])"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["The step size should satisfy $\\tau_k < 2/\\eta$.\n", "We use here a constant step size."]}, {"prompt_number": 28, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["tau = 1.8/eta"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["_Exercice 1:_\n", "Perform the gradient descent using a fixed step size $\\tau_k=\\tau$.\n", "Display the decay of the energy $f(x^{(k)})$ through the iteration.\n", "Save the iterates so that |X(:,k)| corresponds to $x^{(k)}$."]}, {"prompt_number": 29, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["## Insert your code here."], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the iterations."]}, {"prompt_number": 30, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["#contourf(t,t,Jmesh,35)\n", "#plot(X[0,:], X[1,:], 'k.-')"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the iteration for several different step sizes."]}, {"prompt_number": 31, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["## Insert your code here."], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Gradient and Divergence of Images"]}, {"metadata": {}, "cell_type": "markdown", "source": ["Local differential operators like gradient, divergence and laplacian are the building blocks for variational image processing."]}, {"metadata": {}, "cell_type": "markdown", "source": ["Load an image $x_0 \\in \\RR^N$ of $N=n \\times n$ pixels."]}, {"prompt_number": 32, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["n = 256\n", "name = 'nt_toolbox/data/lena.png'\n", "x0 = load_image(name, n)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display it."]}, {"prompt_number": 33, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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BCNyX8mkWBdISj4RxgNjhOXGB8f7yHBeyeNjD/X0HoHveuLI7F+JjjgssCvGkyk3p1BPz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\nLRQGoQ5hFxmW7e1tLS0t6bXXXtN//ud/6r333lMoFNLx48d15MgRy2bgN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"text": [""]}], "input": ["imageplot(x0)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["For a continuous function $g$, the gradient reads\n", "$$\\nabla g(s) = \\pa{ \\pd{g(s)}{s_1}, \\pd{g(s)}{s_2} } \\in \\RR^2.$$\n", "(note that here, the variable $d$ denotes the 2-D spacial position).\n", "\n", "We discretize this differential operator on a discrete image $x \\in \\RR^N$ using first order finite differences. \n", "$$(\\nabla x)_i = ( x_{i_1,i_2}-x_{i_1-1,i_2}, x_{i_1,i_2}-x_{i_1,i_2-1} ) \\in \\RR^2.$$\n", "Note that for simplity we use periodic boundary conditions."]}, {"metadata": {}, "cell_type": "markdown", "source": ["Compute its gradient, using finite differences."]}, {"prompt_number": 34, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["def grad(x):\n", " hdiff = x - x[r_[len(x)-1,:len(x)-1],:]\n", " vdiff = x - x[:,r_[len(x)-1,:len(x)-1]]\n", " return concatenate((hdiff[...,newaxis],vdiff[...,newaxis]),axis=2)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["One thus has $\\nabla : \\RR^N \\mapsto \\RR^{N \\times 2}.$"]}, {"prompt_number": 35, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["v = grad(x0)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["One can display each of its components."]}, {"prompt_number": 36, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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IQys1jstcq6elMGoiSlGFhrUej8cy18AIPdERUDm1FJH3A4Dvfe97SCQSphR+\nv/++049omIksARjCjEQiqNfrCIVCiMViNqG8B405IxLuyEh0HgwGjeO/du0avF4vPvKRjzgEUkM5\nKgMNuVIyNBw6bormlONnVMRISDdR0t81F+BODOp8eDwezM/Po1KpoN1uY3d3F7lcDs8//7w9l2Po\n3pwsHo8bMqRycS1DsVgcGwefyWQcaJ1RGvtHo0snq/QMx4ljo1EU55TXuakGNjfS1fyUOm7dwlnH\n7/z58/ZdLV7gPv5cPq9JSt0K4OjoyBaeNRoNJBIJSxwSaExNTVm+hO+o9CoX88zNzSESieDatWuo\nVqumR+7Eqf6uFCPfV5G7Xk/gwX4xMcx+qP4o1eKmZPhdRqr8G/l07pmUy+XwwgsvOECXnl9BpxOJ\nRBzrbvx+P8LhMHw+H4rFomNdwLtpY9suGHBucO/xeIyXZlim6NPNASunTqqFhksHQZ/FQWRo7w6H\nqXj0uvp8Iu1UKmUhJykKVnSoYPH+wWDQkq3BYND2kWZlC6mZZrNppz2xjJLfjUajpliDwbBahgau\nWq3i4OAA09PTqNfrhgo1gUZDoZw6kSUdl7sCRpPNRJaKwjQZ6A5f+T2dM17j5mdDoRAajQauXLmC\nD3/4w4hGo4ZsiBKJjLvdLqLRqN2fNfDqUAEglUo9FDl90MZyQfaPRoLIVikkNTp6rVKHbEqn8f+8\njvOlRldzRW6OX6kFtng8jmvXriEajTqcqy6C4vO1NFVpuHq9jkQi4SjVpFHm5ls0XOwzt99gYwSi\nC30ymQxu377t4Kc1kQvcv72vRk8qF24QxPHmPTmelHWO3XH8vTa3XPM+rBDa2NjAE0884VhZD8AR\n7QJD58foXt9P9f5BZXtsWxUwpGRIl0gkbDUpjbGGMmrkgRE/qUkVTd7YCwrdwMl0G3BF9zrh2s6e\nPYu7d+/elxwZDAZWbklDyokj4oxGo8hkMhgMBkgkEqhWq7aoqVqtot/v2wkxDBFp4JgM1bCczo/U\nzJtvvolYLIbnnnsOFy9edHC3ylfS8GtNMpVAt1zg+LI/FF5FXcrH896qhBpCa0TA+QdgIfzGxgZ+\n+Zd/2f7PaEcjK900rlwu27zTSGSzWezs7GBubg5nz559CFL64O2zn/2sgQwa6enpaUfFlRs46Jhz\nPtyGSOvBFU0quuf40lFTr3Qe2PT5kUgEX/va12xPoEaj4aDhvF6vjT0rYGiAKNta/scjM5lfop5T\nZlgXz/4xhfm9AAAgAElEQVTQmOo6Fj632+1iaWkJTz75JG7fvo2DgwOUSiVHpKPGViNKUlOAc4sA\nlVdG6xx7HVuOqa4TUepY38FNQfH37e1tXLlyBU8//bSD9ycooV4zomH1ECNkUlnZbBYHBwdYWVnB\nmTNnHkgmx2LgabAp0ExsajJPJ1uTjJwIbnlLJM/B5rXKn2vGXTPtaviJOty8Owf+5ZdfRiaTsQQK\neUmiDSoS6RXl+judDkqlkk1aOBxGrVYz6oUJlXa77Sj50zJHt4Gt1WpIpVJYXFzEzMwMstksvv71\nr2N7exvPP/+8IXpNFivC0/BfEbqW5anQk0LTA1Q0ouI9OI86l2rkNcnNxV6PP/64OUgtn2w0GlZn\nzRWqNCbcnZJINhwOY2FhAWtra3j99dffJ0l2NuZk+v2+g5rh2LrRM42UGiCOJ50Xx1wXQNFRU4/4\nTKV5VK6P28qAz5qamsKlS5ccEZYeScnkarVaRTQaRa1WczglUhFer9dkOBKJIBqNmtPRRV26IpvP\no8xQVzWhzvc/f/48ZmZmUK1WbU0JgR3gLMZg4YF7XDQq4t8YJXJcWCyh0ZZefxynT73huHJ+7t69\ni8XFRTuAiOcddLtdo7t4v3A4jEqlYjrV6XQMBDabTczOzuLMmTPY2Nh4IJkcG4InKqRysqKCIRUN\nLiedRoeelyiv2x3uQUJhajQaNmGqHG5qgeVfpFGoFOqxqZB+vx/pdNqqB4BR2MQJrdVqRtnQQHs8\nHlPEUCiEarVqCRXl28gdDwYDq8JhhQI5zmQyaU6h1+vh5MmTaLVa2N/fN0NOw3/jxg2cOnXKEr4M\nfTVcVcqGhljpFBoaKjqVUh0mv6MOTo29cvgcL024FgoFxONxG1OWm3Lc/H6/bZfK51B5VB7q9brV\nzR8dHd0XQr9fTRPRwIjScFcyqWNUVOh2gjy4hmV0zFHRsB23X5POBedIj6UEnGWSe3t71g9gtIhI\nt6tliac6VDog9o3ve3R0BGCYcyqXy/B4PGaoCFKYW+LzyN0zv0IDqIlG9nFubg5vvfWWg05Uaobv\nrcBIr3Hz9u4N0Y7j67UpyNTx1Ln1er04PDxENBrFwsICvN7hQSBE7Hxf6jfvoUUSjEyr1SpCoRDS\n6bSdYPYgbWz7wdNQaChO48LzBzkp7gU5yjn6fD4zZES8rNllIlQHnyGwVgccV/Wg4RqTGypw3W7X\nkXxSKiSRSFhihBRRNBp1nBkai8UcKIsGmsrPpHGn00G1WkWtVsOJEyeQyWTg9/uxt7dnysSxogJt\nb28jl8shk8lYCEgnoIZFaSg6VzXYSitQYTh+akzoIPm+WipJR64K5vEMVwWXSiWsrKw4tkJgREOH\nwj04uCqSq4FZSsq5W19fx2AwwNbW1thWsnI8+XzypVpJpMZGja7yvJRDJk05txoV0XDTQSsdw7l0\n8+Qce0ZLWruu5cHdbhfJZNKiJGCUEKTukeajkWTERRRPA0UQxD4xouFzWq0WYrGY9UETstQPOhuC\nrcXFRTuMmlExiyVU149D3CrX7D+58mg0auhdV8+rXijNo0UYCnjq9Tp2dnawvr7uoIvZh3g8bu/J\nQg0ml/mOzE0BwJkzZ+Dz+bCzs/PjUUVDrmlqagqJRMKMHg0QDQZw/zai7qQHhYQTRuHj9awa4cTS\ncFJpeH8+j4aKAqP7aRA5sUyPQk20TYU5OjpCpVIxhNVsNm3vCa1brlQqAEYGgci33x+uZD04OMDq\n6ipOnDiBUCiE3d1dVCoVE0AAjn6xFK/VaqFQKBiKp3OiAhOpUOFVuTn+6nyBYQJoZmbGqoDU0PA+\nRNYawmtylj8rlQpu3ryJM2fOWNWFVulwTqkAdAhUJK43YJXKuXPnsLu7i/39fQev+n43LcmNxWKO\n8VAKkHKsTeWac6LlfHRmdAo0OozCeNYu4Ny8y51Q5TXVatUMMueFxoxIPJFIWDRMUKKonYZXo2DO\noyaSFfGyrhsYlpXG43HLu2hkyDHq9/uWnKWeLi4u4ubNm/ja175mMkhdY6N+qx1RGscdQZXLZXt/\nXZNAueZ3dA7UcXOsS6USNjY2cP78eUd0RieszpiGnaW+bjah0WhgeXkZtVoN+XzegO+DtLFx8Azd\nNJwEYIqtSTk29bxEBAxVlW/X5A4VnoaIg6z35ITxGiaRSqWSoUdOOJEVt6alweeE8TOWPcbjcYtQ\nABiKLxQKlpAifcI+7+zsYH5+HhcuXMDe3h6y2awluIggiAxI4ZC31tWSb7zxBj7+8Y/bTo10IMrd\nqvGlItMJUOnpNBmpkFIhbUDF1FJJNVYcUyrszs4OTp8+ja2tLRSLRXQ6HVsEo3vos1/FYtEMD9+d\nO0kmk0kUi0VUKhWbt3FV0dy7dw+dTsfKA7UclSDGTQOokVGwwXlR1K4UGuCs2iJw0OozXgM49zHv\ndrsWAbE/3LOfEZ/f73fsn9Tv9w3p8nl8FueXc8d3J+dM5N9utzE3N4cTJ04AGAKbWq3mqFzj9zXK\n1Jwb8zyPPfYY1tbWjNp0R6YKAgFnlQw/1yQ150cTp7QtlGneh9/h/GgxyLVr17C8vGwRjzoqnRfa\nv1KpZAyErs/p9YYH0zebTcdOnG5H9sPa2LYqoDGmgNKb0dhxwDVxBIxCfK0YYMkiFYMZdP5OT+xG\nkvypfDvpkX6/j1Qq5UgmsX6dQqirzNg/bodLb14qlRCJRIwbbrVaODo6ModA1JdOp82IPvroowiH\nw9jf37ekbCQScSBTGno6IDeHR2W7efMmzp8/f5/RVb5YUS8VimPC1ZJMpikyU5TO+QRGqyjVkdLB\nlUolpNNpAMDp06cxPT1tlEu/PzyRif0ncleHQmXirpxKKzDMftAw9mE1Unacf8o1ja9GRjQOasDd\n46nfpczRoCqP7062AiP5IFBSdMwcETCqBiF1wj4wsiII0aiBYIP0JGmNbrfrqIYjXXN4eOhYkV0u\nl416YQRBWgcYVXBppRjnWB3k0tISNjc37XM6huOcIceF48zraHy1IEKBpUanmqDWv/F5HBeu01A0\n3u/3HQUUU1NT9iylyFjEwbU2XCMEANPT0z8eFE2/P1ySTzRBw0BDqSscaVCIsGn4NZxi8pEOg8aB\nwk8BodJo2OxOCFKBuE+Lcuu6RJweNh6PW96AxpD3oPCyz7VazSoEaJhYFXLr1i14PB5cuHAB9+7d\nw97eniFm8vAUfGB0Kj2pCgrw1NSUKeZgMMDt27fx1ltv4Vd+5Vccp1K5FYD/18Z3ZyKYf+/1esjl\nco6tBtSokTpw37Pb7WJvbw+JRMKWbLMPXOHLyIgoWPc56Xa7qFar5pi5pTCpAtabjyvJms1mMT09\nbX0FRiibBlfHXRN7mt9R+tHNvwP3b4alHDEw2qRM0SWvJ4CiLDDipdzSYFNvWM2hzyPwIpVGWdQE\nODDU30ajgWg0anQc5ZX94JoUTdwCo11CNWGtaJjRxxNPPIGrV6/iq1/9quUkAKc8u2Wc31dajGN2\neHiIZDJpC9MYFdEZE0hoRMC5unXrFi5cuOCoZeffaaw59n6/32gw3peNkSppKd2N003t/bA2FgNP\nOoEvT8+rYYhSN5wARfsaMqnAaj2tTg6bJjbJe2mYymXBWrnQ7/cNRdIYhUIhW+BEJF6pVGyTIU2U\n0VCr8tIRtVotFItFfOQjH8H09DQKhYI5OvLVACwRValUzID7/X47C5LjqUkqOspSqYS//Mu/xOXL\nl/HYY4/ZO7EfHHv2TZOBup1rvz8sY4zFYlhaWgIAK2PUBK4aWY2U9vf3cf78eZt/Gm6iFM6BG+lQ\nYYBhsi+ZTCKRSNi+2jQipG/GxcGzEc1q0k9zL8cZHiJLrQ5h0lkLCtxGG4A5OOX2+X8iT9778PDQ\nYbAIPvhdrjRl1Mxkn261AIwKH3TxEz8naGo2m1hZWUEoFMLW1pbVx/NvwOiEM1YNUed4DCPHQ9du\nsG8EfU899RQuXbqEK1euwOv1GhjhNTouOj4apQ4GA1uTsr+/fx8to7LNRhvSbDaxu7uLM2fOGMjh\nP5aVUt8Z3dTrdSuf1H3ek8kkvF4visWiHfgzPT1tY/Cgsj0WA6+lQUS4wIgL0+w3jZEiY2C0WImD\nxsFnWKteWqkYKg49o6KowWCATCaDRqOBWq3mEFb+A4Yr81qtlnGW9LYzMzOGgPh35hlisZitwmSN\n8GAwLH98/PHHsbm5iVqtZvfSrQ0oqJ1Ox7ZU5VYPeuA0DTrfk8aRkc63vvUtpNPp+8adY8Dva/KI\nzoZOluPS7w93edQ9RUgtAKNyO96z1WqhVCpZRECnQA6WSUkqdrPZRLFYtH6RV4/FYojH4w7nqn3n\nZ+No30/5KG9axsef6gj5051E5TVaLqyFBEoZcA40uQcMUeHt27cdURhBB+9J3QGcW/GylJGo0+/3\nm/wR6NDB0yhx8V+1WnXkdCiP6rS4XJ8Gb2pqyuSC76B9oWzynpTTUqnkAFFKZ/FelA0dd86PRtyM\nCNl0jHkf3r9eryOXy1nlHPVKaSllHOjoSE2yZJT0DkGaRnsKBh6kjQ3BK03C7DAnjsICjBA6S4fc\niIgGhqidwsKSK/WmwGhCeT/NgodCIdy8edP4R3dZl1IQuhiEToBGuVQqIR6P27v4fD7z5Oqsnnzy\nSUSjUezs7NjfGGYSpR8dHRntQkWjU+N7aoki34/hNXMCFPxXXnkFP/3TP+1A7hwbN/3Dxr5RoRnW\nT09P237emnClsee8cZfIM2fOOJAM5xdwHnbMKG5+ft6U8/DwEH6/H3Nzc+YsyKPSKbwXhPMwG8eP\nxpMyTv6d8q6ABsB9xhhwrr7UxB+b0heK+LXeXCuYHnvsMUOKvJ7jTNROKoAomNUdpOjYP0ZUdODU\nYfYpk8k4KBtSocp3U5Y0t0BQxkS1AhD+5DtR9xSdP/fcc7h16xa2t7fNieg4KS3G/igY4lh2u6O1\nNcw1qDPhHLOvN27cwNmzZ21MeVIV54+/c7MwUmXU90qlYgUDtVrNKuVYD8+5AX5MDLzW7FKAiAqB\nEWWjVAEnR5WCBp1/YwUJUQTvT86Q99WkCZMg5L9J8XCyOLCcECJs9oVKEolEUKlUUKlUEIlEHLXx\n+hxuy3Dy5Elsbm5atMDFOtxZj4uApqenjetWQeUCKioL+0YlIYWjKIgrQzc3N43ScDe+Ew2TRkF8\nJpEFk5y1Wg3JZBJPP/00Hn/8cZw5cwbnzp3DxYsXkUqlcOPGDZtzGjPun0+ahoaGPDvHm7tsxmIx\nrK2t2bLtfr9vjpjGRt9hHE2T/Yq4mNAm7efun84D5ZPf4Wek3/h/GnI2pSIYIfHvH/rQh/Daa68h\nHo8jkUg48lWKDrkuROkT9oEgTJOfWlrbbg+PXVxfXzcDdXR0ZIaYfSE1QeqH33XTU1xBSx0if61G\nncCLRpMVal/84hcdoE7zH8BoW2eN8jWSYd8PDg4wNTWF+fl5JBIJ06dCoYBwOIydnR1cu3YNly5d\nQiwWu2/VOe/HqiXm9RiV8x09Hg+WlpZweHiIQqGAwWC4+JN7++g8K938btrYdpOkUDEcIa9Nr6h0\nCq/Vag2fz2eoVhOnFD7ei/XTFAYOPsMm/t7tdpHNZq28kU0TP0wqMczS0j3yxcvLyxgMBrYbHJfj\nExWsr69jaWkJ2WzW7tdqtTA9PY1+v4/Dw0O0Wi3baZFnwLKaRBPTNJhERbonjlZfsHGs8vk8Zmdn\nHWGrRjg04HRIfCYFU5UgEolgZWUFzz//PO7cuYNr167hu9/9LrrdLorFIubn5w15k67iM7RqgvSU\nz+cz56P5Eu7USL6eNcOKlkkjjaup4SbCA+AwuG4F1f/z/XVeiHB5Le9JIKL8MIEMn8Pvc/tdXYCm\nHDQLEOhYeMIYP+daEDppRo107H6/345avHXrFnw+nyVPWS7IcsnZ2VkAo33tWTVCI6uJScqxO2Km\nrusOk/xsdnbWkXtzV3PpWPM5jL4178dxvXDhAhYWFmyP/H6/j6WlJdTrdczPz+P111+3DRKJzDUi\nVgdEmdfKnkgkgkwmg3a7bbQXx0IpV7YfCwTP7VyVH6cnJRJXvl0FUBWAKFCpHhorCi+NiCZ0FYXQ\ngMTjcdy7d894a01C6rmf8XjcBE43C6Jybm1tIRKJ2KZMNPzNZhOXLl3C3bt3cffuXdRqNRwcHMDj\n8Vgt997eHpaWluyUIioTw1lN3innzqocd4KTzyaaUaPJfWx4H42ENOpQPrNWq9n79nrDksTf/d3f\nxUc/+lF87nOfw+7uLhKJBFZWVpDNZlEqlbC1tYVf+7Vfs8iEY8mohPPNOSGqZ+gaCoWQSqXMMREh\nE7krRw3cv9Pf+9lo+DiGlFsaX40WgdGyd8DpWDkX/Ix8OOVewY/SbGrc+fxYLIavfe1rdkwieWE6\nbQAmZwp2mHikXlYqFetDo9GwvWnq9ToWFhYc2zdzNTnnl84oGAza9tCkNn2+4V41lCmiVVaraYks\nI1fKs+4Zo8Du+eefx97enl2nkSPHju/NKiC+J/XjxIkT+IVf+AW88soreOmllzAYDA/64XuyTwQt\ntBODwcD0hLpC0MU55Zj0esOFfIuLizg4OLCCBQU47hzNj0WSVWvW3UkiCrSicnK5gDNxwrBXUTkF\nhwZKJ5kCpxUO/JlMJhGNRlGtVh0JsUajgUgkYtUZjUbDkotM7LTbwwO0Y7EYVldXrXSPjuqpp57C\n+fPnsbm5Ca/Xi4ODA+P3Z2ZmUCqVMDc3h9XVVdvPnO+sNBXHoNlsWr0x34fCT6UnWtPFJxqCb2xs\n4NSpUw5EwIgIGHG/GmpyBavHMzx27zd+4zfwJ3/yJ/izP/sznD59GslkEuVyGYeHhzg6OrIVvZub\nm0in0xaquuv5meDiRlVMQEUiEcRiMUQiEZRKJYvGyAGTxtDQe5xNeWHAud+PVoIQfCio4fzSAWhk\nqCsq+b7KuyvFwPGkTJw5cwaHh4cWvfF65eMpZ/1+307TcusZD4hWZxMIBJBIJJDP59HpdEwXWAl1\ndHRkuSLu6a8VZnxnpbQ4bnQ07jwFx4XjSWDAn6FQCLOzs/jyl79s484CBcB5eAz1X/l4v9+Pj370\noygWi/jCF75guSPqlybzQ6EQfuqnfgr7+/uO/BTfRxOyumqY4zs9PY1EIoFcLmeLJWkztPrpn9PG\nuh88BROACQ8FisLlTlxRkLV8ikkghjUsmdREkw4W0TCfyyQYjTIrYBiu6n4SvV4Pi4uLhjYzmQyS\nySQWFxdRr9cdx5JRqLngqdPp2AZSPPBjY2MDS0tLxsVT+Hu94aZETNxyEdRgMMDMzIxFLmqElaPk\nGOtJOLpwrNVqYWNjA5FIxBSWNIlGO0RyRBYejwcnTpzAL/7iL+Lzn/88bt++jbm5OaOT1MgxvD48\nPDT6iCErMNq+mGOkpXdq2LhITCMSzTvwWgUL42ia7yCAcaN2XqP0mRp9NlIk+h06beD+k4o4bmq8\nOp0O5ufnHSCBSJ3Ghs/kxndEkVowwI2yiP7Zl/X1davV5nOZrNzb27P9lojUdV8ov9/v2B2UhlFz\nbxwbvi8AR9ShdJyuGfD7/bh48aLt7Eq5cAMAGn7OVSAQwOzsLPL5PA4ODrC/v4/Tp0+jXC47oirV\ntUAggHw+fx/Pz2iKawxYtEEbxSiUwFErjXQNBe9FvfyxoGi0XIwDz3BnMBg4lirTSFAYOYFuY83Q\n7rhkIA0bHYQqXLlcRjAYxMHBAQBY2RK5QaLzdDptk1IqlXB0dOQo/eLulDycIxQKYX5+3ugX7jbp\n9/uRTCZRKBQQDAaNz+MeJkQ7wFDpuB9Ip9NBKpUy7pvUTTAYtLJLHS86v0ql4tiPR3nJYrGID3/4\nwwBGSToKMDP8RBPkVF944QWkUil85jOfwfXr1/Gxj30MmUzG9ukGRodup1IpE/B79+6ZYnCVHysV\n6DwoC9wR1OPx2Kny3EpVy9CAEb+tzm5cSN6dFNUE/XErJfk+wP3b0hIha+6I8szraVC0AIDGgGCF\nxounmJGO0L1fSC/0+307NIbONBgM2q6r0WjU1nqsr69jY2PD4Yi4BoRUJgDbqykcDuPw8NBkpN1u\n24puOn++GykQAJabU4BH4KalnGyUjTNnzuDrX/86stmsw/lT3lTee70eVldX8fTTT6PX6+Gb3/wm\nFhYWcOHCBWSzWVSrVZtPjp/Si6RTdUElwSvpMPaXDjQUCmFhYQH5fN523WS+gjKgzonPe9A2tq0K\njkMgnDClUxhCUWlYqaATRWF335cGWA+sdSMpbgxFBEo+mo4CAFZWVpDP523PZvLRfBcqSr1eR6lU\nQrPZxLlz5+Dz+ZDP521jp2Qyaah8dnbWFhGRciDiIKom+l1cXEQmk7HdI5mUZqRCJWL5YT6fx+bm\nJhKJhK0IpUDTaANDIbpy5QouXbqEkydPGgJiBEEnAQC/9Eu/hN/8zd/Eiy++iJdffhk+nw/nzp3D\n3bt3Ua1W7X50eMAod8JkMpE5q5BSqZRxmDRGND7pdBoLCws4ODiweSDiUQNP48e50LzB+90ITGhw\nleLQihDNkSiKd5dP8nNFs5R3Ah3qAo0yHTSfc+PGDRweHpoRpiH3eDwOQFWr1RzonhU/WtG2v7+P\nc+fO2ZbULE+NRCJWu6513uTyia6V4+ZJXdFo1OSBjbw7jT+dVbPZxP7+vh04T4NNQ61JU7/fjyef\nfBLAcI8g4P7j9qgvTz31FAKBAF566SVsb29jdXXVom42VrbQQXOOBoMBpqenLaLgP13Ep/XxlUoF\nsVgMp06dQjabtUica2tUltWo890elLIZi4EHRqVE3A5AF8wQ6WpYqWE5w0QONL0lOWI6CiIBJj8o\nZB6Px7bi1HIpbsBEQ0QUyg2Btra2kEql0G63cfbsWXsGl8xzdeWlS5dw8+ZN1Go1tFotxONxRKNR\nFItFLC4uIpVKWaIqEAjYCU8+3/BgBdJV2WwWMzMztpuc23AREehhIdVqFel0GhcvXrR8gnKfSk9R\niN58802HgSVyoFE4d+4cOp0OvvjFL1pSbX5+3hYuab/oVNWJ9PvDEs1KpeJIPBIVMYLh5lOaWGU/\n3YLNeeTc0TlxjsfR3DkgYFQmqZyq0oPH/XQrM0sUNfFKvp5jrXkqUl1+//0HkNPIMTrtdrs4ODhA\nPB5HqVTC4uKiLWZidUk4HEa5XDZendQdE6PBYBDlchnhcNgiPZYNEn0zIuB7ke5jhY7P57MEPEGa\nRj7UMy5yo0y4K5c4jpTdYDBom9Xx/bWY45FHHkG1WsX29rYVR/AwcdUTlXHaHDpaLo7kvam/WvXH\nefL5hpvhUWd1Xtz3p44ooHnQNraVrBQgNew09JwM5eWAkaLrghqdYGafidaV6iH6p7Gn8BCNcwUd\nGwc2n88bdbKysmJ94jmr+Xwe3e5oafUjjzyCu3fvIhQKoVwuY2ZmBn6/H9evX8fKygrq9Try+byj\nZn8wGJjwer1eS1KePXsWuVwOfr8fsVjMFj1pYoiogsnbxcVFBAIB262SHCiVmWOui0s6nQ6uX7/u\nSKx2Oh2cO3cOly9fxubmJv7+7/8epVIJJ06cQLfbxe7urhkcnbfjwshCoWAbt2mOQMsd1ejNzc1h\namoK5XLZlI3cJaM2dSw08m7e9v1umvxUlK4ARp0S/0YF1siUSWQaOn0nzpFy8oxs+v1RaWEsFsPe\n3p6dJawOhkk91q/TqBBEkZYhXXnq1CmTwUKhYPqkVBqpin5/ePAM3yGRSNzXb9VJ6kAymbQ9ifge\ndFbNZhOZTMbO7NX8C8dSeXrqbyAQwMmTJx0lloFAAMvLy4jH43jttddQLBZt50v3PGjujj91Hu/c\nuYNYLGbFA7riXp0xK4ymp6cRi8WQy+UsIqftUFDAZ7sN/4PSNGPRBEUfaoBVwAaDgYWJGnarUQGc\nSkWPyGoR9dYcGE6iTiDRPK+hgkQiEdvtEBg6pmQyaTs7ttttLC0t2YrSeDyO7e1tNJtNO1W+UCgg\nEonggx/8IHZ3d23JvXKkqVTKnEyz2cSJEycs2cPj/UjfMFLhFsD7+/s4ODhAt9vF6uqqIyNPFMfy\nMQqmLienoPZ6PczMzFj547lz5/Dmm2/iypUr8Pl8mJ+ftxPiOV5chq3JOo6TjnGz2UQsFrO5V0RE\nNEllZyLu4OAA5XLZnqMCrwBAF6X9c5DOw2ga9bBRpiinlGcaL9IqABxOisab7wY4F+wwUtC9lpSu\n8Hg8OHv2rFUecc8TggNSHow6uJ9PtVpFq9VCMpm0YoHFxUXs7u4CGI45N4urVCpYWFgww64lvJrP\nITrnIkBdo8H3j8ViKJVKSKVSduoZgZPP50M8HjeHoeCNTkYBAiN02pNIJIKtrS14vV4sLi7C6/Xi\n7t276HaHh7jzcBLNJ6h8cg5pszRv+K1vfcvkXNc7sKqGNoz5DC6IzOfzZuMAZwEEn+emgt6TTL6n\nb/0zG1/AXSKlaIYCozw7f6qBV0TP+1GQ9b5E9YCzFpZIlomgXq9ny6Sr1aoJfLFYRK/Xw/7+vtVo\nx2IxU4L5+XkcHh4awg6FQrbSk5UGXq/XkA3Dboa/S0tL2NnZsUQLDzAmv8lNtvr9PjKZjJW5xeNx\nnDt3zkJLj8eD2dlZ41fpODVqIsepqIfh8vz8PJaXl7G5uYlgMIh4PG7VFaRkSOUobaAIUJElE85M\nKhNBkVLgylUKOJe8s3KJCsbQlw5JkRVlhlU346JojnuuVnooL8/r+X6UaS0PVN34fhy95j20wiwQ\nCBjNRSND48LvM9/D+SBtk0gkTK4B2AZ3BDVTU1PY3d3F3NycIW0WGvDvpDlDoZDRH0tLS0ZLkrZj\nHoEUEJ/J6IZ6woWFeoQj35/jo46TCU4tE/Z6h5v3HRwcIJVK2ed6BoVSMcfx4O454dF8nAfqli5I\n4z3oyJjHU7nR99G8Ddt7zSuNxcBzgpl8A5zIXLly/s0dtrgpGhoZcoKkUgA4Boxen39nApZhIJEk\nEYSrXwMAACAASURBVDKNBn8Gg0FMT08jmUyiXq+j0Wjg1KlTyOfz6PeHlSmh0PCMVW4fy5APGK0B\nSKVSODo6QqlUQjQaRS6Xw9mzZxGLxcxRMCvP9+YBDKVSCdVq1RxJpVLB0dGROQUmdQeDgSVy6RC4\nRw/Rvbus8ebNm3j11Vfh9/stSVuv1x0rTdk0ZOX3NVweDEa7Q+rimmq1amWjRDpUJp7ew0hOHYkq\nBVGqzs17qTJ4mI0IjOha+WTKGPusnwHOYxdVxqkTuraD12uUqnQPDUkmkzE6hnuUA6MItd/vWzRH\nZM/xrlQqOHXqlBUGMDpmMnVxcdHq3n0+H/b3941b5vtNTU0hl8thdnbWKtX0XAMFF1zsBox0mX0k\nCgeGVW+UK46ZOhQWGzCi45F4c3NzBlC41zoAqyb6Qcl5yjbBoM6X0pIEb7ouhcxCNBpFPB5Hq9Wy\nhVDMT6jD5nsrhafy9aBtLAZekyQaipIT15ciMqfgqkFXYWKjkNPT0qgTxXDRAe+p4RA9OX/SIFGY\nmEE/OjoyZL+wsICdnR1DSHNzc7h69SoWFxftEA+/32/nulLRmAegYE5PT6NWq+Ho6Mi2DAVGoTqd\nER1iIpGw0ster2dIW8eGB5TwrEkae1JDh4eHyGQySKVSaLVaqFarWF1dxdzcnL0njzLjd+gYgJGQ\ne71e5HI5o7s4bowcuAKQoXkikcDMzIxxvFR4Lmpiwop0jj6Hiqi0hCakKEvjaIwQgRGIUeSt1JSO\no5tuZKTD63iN0lCatFMHSxlwV3wQwZLiYDKbQILP4jVLS0vY3t42hK77RYXDYdsvqNVqoV6vW1lk\np9OxbZx55CQXByrfTmqIY8JSXs6h0jdKk+j223paFJF/qVSyQ3JYEFEsFpFIJBz0EA27VrxwDtg3\nPvPg4MDoSO4TDwwd5ac+9SkbP5677Pf77cQx6kQmk0E6nUa5XLYEL99RjbxbdhW06Di82zY2Dp6I\nQWvS+Tdg5MU1OUVUxDBGV6fx5VVIFLnrKkLN5tPQtlotO/uUSJyOgdUA3JeZiGZ9fR17e3tmlGho\nzp8/D2DkyGho/X4/CoUCOp0Odnd3jRdlkoVLy3WnRKKpQqFgSWKWtdERcRx5In2327XyrMFgWDcf\ni8UsamANMjdRunPnDvx+P9LptFVBkGcHYM5Ry/74Ow0ISzv9fr9Vy/T7fWxtbdkcUDnK5bJRXVyh\nylWryhWTnmPIDYwSXHRsx0V746JoFN2xKcXopmjYfzd44TurIdHcA6kwvRcNJZ9DtNnr9TA3N4fD\nw0MAsG0EaNhZxcIIjRFVq9Wy0j1utHXz5k0DFlopwkU8BCuZTMbyNtxjnePCsljy1LVazeTfnWdi\nGbDf77eyZDohRonMG/CdaLwzmQz29vasqowUjy7/Z3MDBP2/Hs3JtRt0CFtbW5ifn3ckyUnJtNtt\noxl55jApLDoQjcg4hxwndx+1JPRB2lgP3VbDrJtaabjt9mDK+XJwSK8Ao/1ASEPovRTVa0aaJVzZ\nbNYQvNfrtSOyWOJIXj4SieDRRx/F1tYWwuEwGo0GUqkUdnZ2rD80WoeHh+j3+5iensbBwYEladPp\nNObm5qz0jOit1+shlUo5KmwSiYSF2+wDd5vj4Rms4+fKUwohq32q1Sry+TxisRimp6exsrKC3d1d\nFItFzM7O2j7UegYkMNrwSo2TOmWvd1hJFAgEMDc3Z6icQsywle9IVMlIJpVKIZPJGO/OCIBzS0NA\nI0nEqvvvqBF1R3TvZ6P8Mmpj//VQDEaC/Jv2Vas11AloXTj5da0YYe5C9Ypyz6oTRn/ksLnqmgAn\nHo+j1+vhxIkT6PV6DtRNZ/rYY49ZWS53QqQxJxU0NTWFw8NDx15BpByItFlg4PV6zYlQbzXK49YA\nlGfdoZXOi86MxwJSBlmgkEgkjMPX8lVgBDQ1Ea52geCBEfC3v/1to3zq9Tr+5m/+xrG+g7QMnRKB\nIUEbD4XXHJhGJsr1q8MH3lsFDTAmA0/B5iBQAChsHFhglIjS0Alw7r1N7lZ5eHfCjULIcFCRDjBa\nALK/v2/bjtLYNBoNzM7OmgGdmprC3bt3Lezl1qHc24UootPpYG5uzhZoLCwsWLJSE4Rc5MTTpMip\n0ykEg0Hk83mrRiHiYnTA1bHcmZI8J7lNovqLFy9idXUVN2/eNGWgUVLjyv2sWRVAg0PURIH2eDzY\n2trC7OwsMpkM/umf/gnhcBjJZNLG5tKlSxYyMwqJxWKWAOOc0FFSQQA4UCqdn9Juyr/r9eNE8Fra\np4aCYwbAIcN6jUamWhHjjkJp3FQf3DtrsgpLnSOTmET30WjUynmbzSYWFhawu7tryD4ejztWeHP7\nX1axtNttKzYgGqfzZh4oFAohkUgYgvb7h1sUUJZ1GwNSQZRJ9pP0EMdDc2wcm+XlZYtMWYLMMaNM\nKc+uuQzOiY7pYDDAzs4OZmdnkUgksLGxgQ9+8IOmC5/97Gfx3HPPOc41oN3h5oKMamZnZ1Eulw39\nMwJ1U9Hq7LUAQotPHrSNjaLRJBww4hq19E2V2Z1Y5ZJfLRPTlaoa3gPOfbZ1xSEpGR50u7a2hmq1\nagrKBA7R7enTp628jDxzoVDAyZMnjWemYfR4PJaxP3HiBEqlEiqVCmZmZpBKpSxs5l7o+/v7Dv6u\n0+lgZmYG29vbSKfTVmJJrm8wGJiAVatVEyz2gdU6fv9w6Xi5XMbVq1dx+vRpeDwecyjkZTnuLKHk\nOHJM3ZUz/X7fdtcslUq2L3Y+n0cikbD9tOlEE4kEUqmUOTRWjRDlk0flXHLeSElQPthIb9D5UxHG\nlWzlmCqY0CiTeR9eq0BG76FrQfhdlWvAuZiHdCeb1+tFMpk0cBAKhWxlJtcdUG6Y8OO6A/aLB8VT\nB7nHEo0UDWgikbBk68LCAgBYoQHXNzDqpaOmjnOFbTQatcWEvV7PVrnSeJOO5DNZRsmdKdPptC0Q\n1ChKFxLp2HBM3ahYDSxLL4PBIGq1GtbX19Fut5HP5xGJRFAoFHDhwgXHnCaTSQBwgA9GISwlBUYA\nl7ZMaUX2QfNdx1VPvds2tr1oKFQa6tOoKCdJLkxX6QFwbILFZJ4mRfk3fs4BpWHSa1kiRsEFRlUK\n5OEA4OzZs9jb2zPFZBjKhTmsbSVSzefzSKfT8Hq92N3dRa/Xw9LSkiV+mJBhCM0FIbdu3cL169dx\n9epV+P1+21OdR5LRKBPB02kFAgEkk0lDT91uF+fPn8fq6ip2d3fh8XhMCZvNpoW14XDY+qLC5hYo\nRRXAcAHT0tISut0uMpkMvvOd7+DrX/861tbWkM/n8dZbbxmqZUKde98zemMCimPMUN0dourn7IeW\n0WrFyrgMvCYECTaICtlf/u52APy+Vo4ovUhjrohf805sBEMzMzMoFosAYDs6Uo/4HCb81tfX4fV6\nUSgU7L7c6z+dThuFEggEHIlCVnyFQiHMzc2hWq1avofOl+CB1SOkcrjFMCkd9os5gEqlYs/UMeUx\njoFAwHJmBDfUR8o+x5fARdG6/p9NnejR0REeeeQR7OzsIBaLYWdnx9aH5PN5/Oqv/qo5IfLuxWIR\nwWDQHKnX68Xc3JyNF3VAHQsBlLs/lHG9DnhwIz+W0xG4XJ57V2jYqYiRCqvoUpMs3W7XUAL3c1EO\nnhPJhR3ACIVS8Y6OjhwekoiGISM5S9Iyvd7oSC4uYgqFQiboNLwsDST90Wq1rLSs0Wjg9u3b+MAH\nPoB2u41CoYBWq2XVJufOnUM8HkcymcRrr71myH1qagrb29umsIPBcI/qO3fu4LXXXsPHP/5xK8fi\nStTvfOc7SCaTOHfunO0ZQy5TdxQk6lB6QfMd/F15+KWlJeTzeWSzWezs7ODxxx+3ipxvfOMbeOaZ\nZ4yHJe3AseI8LC4u2pmeSgVp0kvpC82haOiq16rRfD+bLqKjLGieSWkuyjWb6gAwCsu5HTYTnyw6\ncFfp8HNgBE64gIdOgHLMclsi9e3tbZP5cDiMfD6PxcVFAKONv1gmWCwWkUqljE9vt9tIJpMGbkjt\ntNtt49oXFxdtUdT+/r7ljOjkCYq4WRnftVAoABhWxqytraFcLiOTySAej2N/fx/37t3D3NycY6sL\nd5mhyhEwqq//fpRHv9+3LUK4SWC5XMbKyopRUS+++CI+9alP2ZxyDliiyegqlUo5qCtNfBOIaHSm\njbKuoOq4635YGwuCZ4kSQ3cOlHvnSL6gcm383OfzOU5e14U8NPSqHPyMxkaNWzQaxe7uLvb29lAs\nFq3GneEgFyfwucFgELlcDgsLC4aYachJ+bAqgXXDJ0+etGqIcrmMT3ziE1hcXMTJkyfx1FNPWUUO\nFzSxWqZQKODq1at444030Gw2cfHiRaysrODevXs4ODhANptFNBrFJz/5Sbz44ouGKC5cuIDr168j\nlUphenraKm7o+LR2XAVI0YUKobsy6eDgAJVKBd/+9rfteVRQLmaJx+MIBAK2UyQriSKRiIOGciui\nOhH2QxOQvAaAGQmiqHE2UkluxXU7IR1jpbsAJ5VIClBpJ3Vsmpjjc2lc+HmxWLQV1IlEAuVy2Sqe\nADi2DaBxA2CUpFaC7O/vW96m3x+ePra8vGy7nxaLRTNsOh7Xr1+3XBWPrNvc3LQ5CwQCVkRQKpUM\nQM3Ozhoo+smf/EkAzjJMLvyjztPYarSu1UWavHY3vYbFETs7O1hbW7MVqETpPNdBwQRzU3wmV7fr\nzpgq0/zu9+uP3lfbg8r4WBA8+VJNCBJ5u8vciIBoHAFnmKr7PLBpgoYToWGz0juaaCUy7vV6hjAu\nXLiAO3fuwOsdLh7p9Xq4ffs2VldX4fUOV7IxSUjOkxsptdtt7O/vY3FxEdls1najfPbZZ3H79m3b\nk4YOgUJ+9+5dhMNhXLt2DXNzc+j1esZrXrlyBdVqFclk0ji6wWCAN954A7/+679uY/fSSy/hAx/4\ngC1sYp0xx14PJFc+UukZdaYcr729PeRyOXQ6HSwvL+PZZ581rpK86ssvv4yf+ImfsLkmRePxeMy5\nA7DDUViS6Y6uOKc0/oqYtKpHjZ2b2nm/G/untIBW0mg04q7mcvPBSl9qTgIYHV+plCOdAas8GOUl\nEgnjwgl4EokEtra2bA8mAhruH9/v962ajLqzvLxs0ajP58PS0hJyuRxSqRTK5TIef/xx5HI53Lp1\nC/F4HH6/H0dHR7b9AFFstVrF7OysLdZrNptYWlrCm2++icXFRezs7JiuAMDjjz+ON954A4888ghe\nf/11zMzMYHl52dZuEAAqQnYbSDdF4zaU3e7wiEnKMg9893qHC7ai0Sjy+Ty+853v4Hd+53dsfjke\nPCiF/VlcXLTDbwaDgWOBF6koziepPXXkitx/GNr/QW0sBp6IholApWuAEc/EEi2tqnDXyZOm4fe0\nMoGZbCJ2TchxgFk6yC0GaJgpePfu3UMmkzF+sVwuY3V1FQBs+b3H48HOzo4jrOWkJZNJOzU9l8vh\nxIkT2NraQr1exxNPPIFsNov19XXkcjmUSiUUCgXk83mcO3cOd+7cwSOPPAIAeOaZZ/AXf/EX+Jmf\n+RkUi0UzlkzK/t7v/R7i8Tj+8A//EOfOnbN7sjxRhV4pLw1VaSB0j30muf7hH/4B3W4XTz/9NC5f\nvuyokGCJXS6XQ6FQsEVMgPPsS36H1RTNZtPqm+noFPUqXcd5VsHXhDwwWiynCcr3sylfyoqkwWBg\nkQr7zyorjTwYXRJ9cssARYpansqE5PczAteuXcOjjz6KGzduWARLkNTtDs8HTqfT1m8u3ad+sIhh\nMBjY+gRdds/CAyZjT5w4gZ2dHdRqNczNzWF3dxfRaBSJRAK3bt3C0tISrl+/juXlZVy/ft0cPcen\nUChgcXHRHDuTp/V6Hc888wzu3LmDq1evYm1tDZVKBaVSyQFGONb6U+VbKTDdMuPevXuo1WpYW1uz\nBX6Uexr2breLfD6Pv/7rv7YIho6ZAIuRKO8diURw7949A1Vu4+2ORI8DJe7v/dhQNLp5FCeBqFcF\nlgOmSURFczSiyhEDo9WfXPjAaIHPYkkkv0dETITF5NLZs2dteTH3qllZWTH6hzRPt9vFwsKCCSyF\n3p3YvXjxolUzzM7O4vr16/D7/fj2t7+N7373u7ba9fLly2i32/joRz8Kj8eDxx9/HFeuXMHP//zP\nI5fLmVGlU6rX68jlcvjKV75i3P+9e/dsbxotuWMEA9y/ORXHDIChrXa7jb/927/FpUuX8HM/93NW\njsYx4H7zpVIJX/nKV/DHf/zHWFtbs2ew9JH74QPOo+3cyVEabc4b+8JIgP1m8kyNInMx40LwSiUR\nMbL+nMqq7+suAABGobuWVWpOgb+rsSaC1fHkwerxeBz9ft+qWrgbpK7i7Pf7xqF7vV5zur1ez/aC\noYPRrScIvrhnv26JzPrzvb09xONx46+5ffHR0RGWlpYQi8XQaDTsEB3mwLgf06OPPopoNIpXX33V\nKlm0eoiywTFXSpdjo7y8zsP169eRTqdNXtWZklrkdiQvv/wynnnmGVy+fNmcK/WdC7IAWMEE+0mZ\n1OiY88/f3dU8lIN/TvUM29goGr4wkRnrud31oLrzHADHJKj3c/O1rP3m89h4byLGubk5ALAE5GAw\nsITnrVu3sLq6ing8jtu3b9uWopzEfr9v56mSMyf64klNg8EAxWIR6+vrdhZrOBzG22+/bXXrp06d\nQiKRQDgctn1szp8/j7t376LVauHu3btIp9OIxWKWGO73h4s3Ll++jJMnT+KP/uiPcPnyZSwvL1si\niyicjYiPAkMEogaGyK1QKGBzcxNPPPEEPv3pTzsO3ZiZmQEwjASy2Sza7TZu376Nj33sY/jkJz9p\nKE8jIW5XSxosmUzaIjB19jSMbuqI86gIi4lEpZE0cfl+N+Z8+D6MJpkb0kIBdWruRCAwklMm7fjO\nSptp3kopGyYxt7e3HdQID4aZm5uzDb5arZYtfiNnzGfQKNO58v4ES91uF9PT01hfX0e327UIbXNz\nE4uLizbfPGKSBjqXy9n6DADIZrNYW1vDjRs37OyBQCCAS5cu4Utf+hKazSY+8YlPYGNjw/7G/dQp\ny3Q8bNRFBZHAUIa2trYsWcuafMqSGmdWv9y+fRuPPPKI4yAeRtCsvCNTEA6H7RBtYMRWaKWTGuzj\naBd3kQDn311p827a2BY60cBrvSsFQkvJ3BlvDggHiQ5Bjy1j+EU0p3WnRC1EQKwdZ4jc7/eRTqfR\naDTsRKGDgwPbx5noxeMZnrZEjlxX/MViMezv7wOALcKoVqvY29vDzs4Odnd38clPftIcm+6kl0gk\nEAwG8corrwAAnn32Wezt7SGTyeDv/u7v4Pf7sbS0hGg0it/6rd9Cr9fDiy++iE9/+tO2oo8LLHRv\nGmAU4mkEROHnNRsbG/irv/orrKys4EMf+hCSySTm5+fx2GOP4cknn8TMzAzy+Tx2d3eRz+fh9/vx\n9ttvm3KxcoJ17qRk6My46pWoXucGgMO4s6/Ktes/zrXmbUj/jKNpFRIRulIwbvqJfdf+8vs07IrO\n+QwaV6VoNIcFDJ3vK6+8YiWLwKhOO5vNIp/PG6fOqpjDw0MzmtwjqNVqWdkhK8jY32AwaNsAFAoF\neDzDowFZl85rSqUSLl68iLfffhvf/OY34ff7sb6+jv39fWxvb2NtbQ31eh3r6+s4PDzEiRMn8Oyz\nz+ILX/gCLl68iGeeeQYbGxuOFcwEHJQL6j8jDfcujv1+H5ubm2i321heXsbq6qodw8lKOL4HCyT8\nfj/+/M//HKlUCrFYzOyMrsbVYhGWTPNoQ9b4q0xTnt20C+eNsq1OQEGQGwj8sDYWA6/8FZN/NNyc\nHCZEmZ12Ix9gxGVpPTsXidBgaC0tANskTI1bNpuFz+czj57L5RCNRrG/v4+lpSWrFVfUUy6XMT09\nbZOhCUL2maE5KSKWkD399NO4cuUKEokE0um0VSSEQiFcvXoVN2/exGAwQCaTwdWrV7GwsIC9vT0s\nLy8jFArh4OAAjz32GF566SV8+ctfxmOPPYbr169bOZZGR8Bo0ZA6PQ1JqbA3btxANpvFCy+84KBW\nuFXD3bt3sbOzY/cNhUK4efMmvvrVr2J2dtZ4SyI5zuP09LTVNnOlK+kJd3Jda561bJD9pzK7E8Pu\nCpZxNDoqrW4BnIvF2I7jibV6TCtuNLTXSJU/Kf/AaD90AGY0g8EgqtUqarWaydvy8jLu3LljK4jp\niFnWx42yvN7R1s0ej8dq2TlP1WrVVseeOnUK6XQauVzOqqgYsTJC8Pv9OHnypJ13evr0ady5cwez\ns7PodDo4PDzEyZMn8a1vfcvWS3BFribd2XQlvLsaSxc+/eM//iNOnTrloD64HQIX2ZFNICq/efMm\nfvZnfxaJRMJBE9KWsLqm3R6eRBaLxZBOp207YOYzNJ/kLmRwy4RSSm6k/17keuwnOgEjTp4vr0qv\nVQd8ad2KlYMIOPdN8fl8VmpG2sTj8dj+1xoh+P3DTcBo9CqVCvr9Pk6dOoVr164hEolYKSS5Ry7H\nZ3/IS8/Pz8Pn82F1dRWBQADf/e53cXR0ZCe0x+NxvP7665ifn8fFixextLQEr9eLlZUVE5azZ8/i\nwoULKBaLmJ6exssvv4xAIGBH5a2treEb3/iGRQK5XM6xCpRCTR6byTw3EgaGTvLVV1/FH/zBH+Dp\np5/GM888Y6sxOW5vvfUW8vm8JcK5C+Hdu3fR6XTw27/921YlQGPD5Hmv9/9T92bBbZ7XGfADgAv2\nhdgIgJu4SdRmSZYtm7JlWVGsOhnbieu0Ter2Il0yzbTT5qIznfai+W+bizaTTjLpjDuTxmnS2JnE\ndsZ2vMmrRFuydooiJYo7AS4gsREEQQL4L5jn4OCznFptfvPvO6OhCAIfvu9dznnOc7ZqxyzOfTqd\nliJUGr3y3nhg9fpScJnNtY3FtfDUn9mKoc1x7UPgHgSqh1gjMaPg0jSkMVpIIz594I30FoVRb29v\nzT2wxMX4+DgcDgc6OjrEL8X3NDc3I5/P13Q/8/v94p9ZXl5GJpNBU1MTLl68iMbGzQbz8Xhc6A+H\nwyGWXUtLCwYGBmCz2RCNRtHR0YGXX34Z3d3deO+99/DII4/gtddew8GDB3HnnXfihRdeQKFQQEdH\nB5LJpNCGuhwJ54sBFNr/oWna4eFhoXsYJePxeDA2NiYWLuUP18VkMuFf//VfsbGxgaamppozoy1f\nWja6MXgul5OQavoVqVS0Uuea8Vk0a/Gb9u/tCvktEfAOh0MeVKe/Gzev5lz15gaqyS88FDoKgdfS\naNBmswGoHiatidva2jA7OyufDYVCUvulo6NDNDidp5FIROJbiUIBwG63Y3FxETdv3sSNGzekLEG5\nXIbb7RbqgnG+165dw+zsbE1DYZ/PJ5ZBKpXCwsIC9u3bh/7+fqFEXnjhBcRiMYRCIUxMTIhFwnsh\n1aUFOakwjX5oVfT39+N73/sehoeH0d3djXQ6jVAohEAgIG0CdY3tTCaDp556CsBmqCP5SFIRPDic\nFwrjuro6qS9PKoAKksqAa8b75HuMNIzRjOWe2EoBz/2kzW39OlBbSMrIp2o6kU5Co9PYGP5HSkJf\nl6DFZDLh5MmT4jMhbcTyAqyPsrGxUZO0ROuN4KCxsVHOgxZoAKQ5+tzcHEymzbDBe+65B2fPnhUa\n5MKFC0gmk3LvY2Nj6OnpwaVLl9DX14c33ngDTz75pFCiBw8elLh7XW5A03KcL4YBa9qDZ54RRADQ\n3t6O5uZmRCIRTE5OIhQKwePx1Dj0me/y1ltv4atf/aoUwdMKBYBQujxnVAAej0fKkXBtjHHwH0c3\na8rmVvvCCGY/6dgSAU/nBR9GIxQt7Gmm62QMADWUi1YMmr+itmShK5qZ/A7yeOvr67BarRLTy7BC\nmqtsjk3PPp2wOq6ZB4q9VH0+H8LhMA4cOIA9e/Ygn8+jo6MDExMTcni2bduG+vp6aWTA8qgejwfX\nr1/H4uKimJCNjY344IMP8Pjjj+OFF15Aa2srYrGYcKZUkuvr6+Iwol+AQp+bhiY+Y3dbW1sFbR06\ndAgjIyOSyJVOpyUagmnlTqcT3//+99Hc3IxYLCbX5nexljvXTkd28EBRePBwaFpBc6tcQ64Z14Vc\nqDEagXtCH6JPc+jy1ZpmMdJGGs0BtQ0u6KzTYMf4PEZ6R3+PDq2jT2b37t1Cd3AN1tfX0dzcXOPE\nJV+vrSM6EhnsYLfbEQgEUCwWMTY2Jl2a+ByRSERKB+gzSuctG7r4/X6sr6/D7/djYmICmUwGzzzz\nDJqamhCPxyVAgdQM54iggfWWNF3E9/N7WFahvr4ew8PDACDZ57lcToQvqd3p6Wm89NJLuPvuu2tC\ncGkNkIrlaxqAut1uoSfpw9AKm0ODj1vRzpxHPf43gGXLio0BtUhHm+Ic5IzpMOEEa2Sqkxt4+Omo\n4kHiYmn0w83Ce/F4PBgaGqo5HHNzc+jq6hJTjLHDpH6y2WxNok4mk0FDQwOWl5cxPDyMy5cvY2Vl\nBdFoFMvLywgEAmhra0MoFJJO742NjdixYwfm5uawsLAAi8WCI0eO4K677kJXV5dQVQsLC/jpT3+K\nJ554Av39/bh06ZJsJh05QmHPHABt2jMiwmazSe9T8oWBQACzs7MSEcHa3wyzW19fx40bN/C9730P\nf/EXf4EHH3xQ1oQHjCY0FR7NWVI9RIlaWBszPzXq1wCA+4SDvhoOotNbIeNPa9DEpyXC17SfBqha\nNnxuzpk+8JqP574Gahs+awrOqEQ0nTk4OIjjx4+L0F1fX8f27dtht9s/4u8ql8tSLpqhwAwmWF9f\nx8LCAvx+PwAI3zwxMSFZ5WazGWNjY2hra4PNZsPrr7+OUCiEtrY2CTkmQNu5cyc8Hg+OHj2Kmzdv\noqmpSUp58DxrmgqozaFhqCLPLIuocV+xq1UikUBTU5M0H7nzzjthNm/Wh3I6nahUKnjvvffQ1meK\nGQAAIABJREFU0NCAxx57TKwiJjYa2QVNLa6vr4tirKurEwet3W4XBWL0mxj3zMdZc0bGQv/8xHvy\ntt79WxrHjx//pt7YmloBqqa2FtzAR+Nc+Zp20GqOU19Pe7Ep/I3cZiQSQalUEs93R0cHRkZGJJSK\n4VBM+nA4HJKWHY/H0dzcDLfbLan5pVJJ6sgD1cQup9OJsbEx7N27F263G6+99hrC4bB0YRobG8P4\n+DiWl5fhdDqlmt7a2hqmp6cl0UnXjdG0BRUX0T0bgOtnB1BD7ZhMJqmWNzg4iIMHDyKRSMjfCoUC\nXC4X9u3bJyF3FMjaKqByYXIPrSeHwyH/10JKO5w0p34rvlIPo/CnEufnXn/99f/n/5vd+/Hjjjvu\n+CabwnBP6gPJ0FrSUzpChu+jsGWWNwEOQ3M1VaUVKOeKP/kes3mzIF1LS4uETZrNZkxPT8NkMgmV\nx94HTJ5ramoSlMuCXtlsFn6/Xzoksc4597XOzSgWi5iYmEB3d7fsUZbLoLVAa5Ut/ejbIS3IfWUy\nmSThiHPFZyWo0MpSA0az2SxVMuPxOPr6+nD69GkcPnxYyiQvLi6iXN4s0EZKh0EVRsVK/x8VCSlX\nZt7SEmfkmFbY2hIBqnteD7139NBK/eTJk594b28JgueCEBlqBxr/bkSCWsvRFNUTTu6X8bGaOuGi\nAVU+WGt6LVSsVqtQMgzNKhaLUtOFaL6ubrPPYyaTQaFQQDgcxvz8PIaHh+U5dIcZmqOMSDGZTMhm\ns1heXkY4HJauL0ywaGpqgsfjQU9PDxoaGtDR0YF9+/Zh165dkk3HmHIKCtb3rlQq4vRl6CUPl/ZN\nEOGvrq7KwWZMNFO3aRGxjSDT2nULPyoNl8slQokohqnbXCea1roeihbsuqYM75eKyxgayT1ARaOV\n3lYM46HUHCsRvaYab4UMNT/P99KJyLnRQkG/l4qB19TfA0DoSM4rQ/+4XgQErFmjrTLGy5MyXV1d\nFcDDuc9mswJ6yNXzjPEs6meanZ3FxsaGBCzQJ0Qfjo4d19Qj9xytAT0n2lGtKUK9ZywWC27evCkW\noNlslvaXFOpasPN+9d4kwOF7qYA4H9zvmn7UznbuFx0erIeR2tGA4HbGlpUL5sNrJ6XmrDQCutVD\n0TPNTZPP5z9C45Ce0YvLA2H0iPN+uIEpOHR0CNvdBYNB2Gw2JBIJoUnm5+exsrIi4ZUUOkxQikQi\nmJ6eli45sVgM165dw+LiIrZt2ybV8MxmsxyMe++9F++++y72798vJXXZhoyp4kQJQLXyH/0NZrNZ\nKvsZnVNaCNDcZTRQR0cHBgcHEY1GpfRpqbRZigDYRDecS4bI8dBz6M3NBBLd7JsOKCMS1yGxvFde\nR1NsOmJF752tHrwHbX1wv2nErp9BBxDwUPNZCSj4mkbvWlFrpyyHfg+59kqlgmvXrkl1RJ4hKm32\nWwWqhcji8Tjq6+vR8euoFirx5eVl2O12pNNpKUNtsVhw9epVdHV1YceOHVI6W9eSb25uxtDQEDY2\nNnD48GEMDQ19pNk6zwPPES19hiyzPLDe/9zjFOjGM726uoqxsTH09fUhkUggFAoJXx8MBmsSFXkt\nMgOUL9zPFotFmvQEAgGRDwRqPMMcWmnoYbRQjbQn8L/LZN2yOHjtVNWOFI22OXSdEh527WhdX1+X\nyBTSNDxUnFQt9Cn4ufDk8iwWizh3EokE/H6/oCcuOsuTlstlqXzHQmG9vb3Ys2fPR+47l8thcHBQ\nqB+fz4dyeTMWOZVK4Z133pH6HGtrawiFQnj00Ufx4x//GCdOnMC7776LRCKB+fl51Ndv9mNl3C4R\nNqMdMpkMGhsbxXlrpDr04AakYGDrNovFgu3bt8Pr9YrgLxQKCAaDNXNGRymRl8VikWYp/G5+D814\nriORfKlUkufmoTY61oxRBrym8dk0atuKwXkk2ubQgobPQipNUy58Zj7DxsaG7Gugem6M1IxWkEbu\nn9e8fPmyWF0EAOl0uqY0BWups4E6AQRro9OPxKQinpldu3ZJaDGRbSqVwqFDhwBAehbU1dVJpnNd\nXR0ikQgGBgakSB8Aad69sbHxEVlQKBTgdrvljAO1tY64HzSKByCKgMBtY2MDoVAInZ2dsFqt0puB\nvDvPO9G+tmSoTAHINRnxBqDG0UoZo0HkrSgZ47jVWdVU9O2MLTkJnBQANeaY5if1g3AiuelJK2gE\no1Err6stAB2HXCqV0N7eLhwarQBGzXAhaXKRj2NLsGw2i6WlJczPz2N8fFyyVtfX16WFGekZ1mdn\n56O1tTXpe8okor6+PmnobTabcd999+H8+fNoa2tDPB6XRgakPLSZrU1fInBuQu2o47NrZEKlpS0m\nIuxisShlfyuVitA//B4qK1JsusSy3W6vKZ2qkSRQ9bFwnhlNQ6GhTXGgKvi0A17zzUbBuZWD80u0\nrO9Rc7HactFCg8JEO8aNAgz4aMs5Pr/JZJI0ec49k5f8fj/K5bJw3pri9Pv9AnQAiMBjXwK73Y65\nuTmYzZtlf/P5vPxjohC7dbF9pNlslk5NpP/Gx8fxwQcfoKurS5yzdXV1UrtJW9raYksmkwgGg7K+\nt8o1MCo5/X8CEmah0qLkWugzxHmjzKDvhAKffqdSqSQhzpRb2m/AdeH369f1+hn3NtdO73+91rcz\ntoyDJ6LWGXj8qQUzJx+orUtDhMLrEJ3QwUh0AdTW3zabzQgEAjh58mQNmqegXF9fx/T0NFpaWmA2\nm8VcjUajoo2j0Sja29tx9OhR2O129PT0SJ2ZVCqFUqmEcDiMhYUFCdNiN3qawH6/H62trfB6vcK3\nW61WHD16FE8//TRGRkbQ3NwsXXm4EdnkmGYyuUhm+wUCgZo0bZq5AGqiMTT1wRh3Xoube2NjA8Fg\nUGijxsZG4SpZsI0+D7YxpKIkIqdPgfQMIw70QbBYLDVONk0r8OBoismIZoyUnuZuP81BPljfp3b+\naXpGO5KNXHG5XBZkzaG5XOCjaN5kMiEQCEgjc53Wz7PS1dUl68lzR8CRSqXgdDqRz+fh9/uxuLgo\ntAjjwScmJmC1WjE2Nibd2BoaGjA5OSkhlyxqNjU1hcHBQVy7dg0Wy2aG865du3DmzBn09/cLLcMz\nzjlYW1tDJpOp2afZbFZKImiqi/tWO9j5rBx0JNM6pIVYKBRw6tQpqWGTSCQkDl4rD84xv4trx2f1\n+/3ih/P7/eKz0wyCBiBcZ03l6T1j9CXooa2TTzq2RMAbnWRac+pQt1shS63xtHCmBmcGHjexRoq8\nVjKZRE9Pj0QIaEqnra2tRnjU19dLWzGv14tsNovh4WHMzs5iZGQE+/btQ2trK6LRKNbX15FKpdDa\n2oqJiQnJaqXAY3hZPp/H9evXMTAwgDNnzmB4eBg2mw3bt2/H66+/jvb2dvT29iKRSNRsEqIlk2mz\n3Ro3LP0CjLLgJtcRSLRc9AHRaBOAKEpy91arFVNTU5iYmBALSiN87bwi8qSQ509dW4WhjaTmgGr2\nKd/L3ymYaK0wwoNhfQBqrsXn0KGvn/bQ+4bzbESier6M5rZ+jZaRXjcKFz20tcbOWAAkCoV7oFKp\n4OzZs9ixY4dUf+Q1dd0Z9u51OBwIBAK4dOmSnKsDBw4gm80iEomgrq4OPp9P8j6mpqZgt9sRDofF\nmqZPqq2tDUeOHMHLL7+MvXv3YmZmRsoY8FnpsOU98W90yHN++azab8dBmgmo9WXwWpQJxWJROqyx\nxHepVMLq6iq8Xm+NEtYUDa0eCmebzYaNjQ2hpwDUyBy9psa11BQTz5SmazSC53Pcav3/u7FlTlbN\nz1IDa7Sj04eBqkbjIpKaIWIkT8yNAlTrVGjNx+82mT4aekVEz2pwRKF0jLLKpNvtxo0bN6Sd3+jo\nKIBqQsf4+DjsdjtcLpegX5PJJFX0aMo6HA50d3djdnYW4XAYXV1dyGQyiMViuHz5sjyrVmbk9bnB\nGeFiNOe0j0Obh9rs10iSc8JoGn43r80CSpr7Zr0dIiTt5C0UCshms+IAJ3WkN6p2aBmVDnl7/p+I\nUSMqvU+odLaSptHzzDXj/GoKAfh4pEaFoHl7Y6SF3s+aoqGgpGVn/A4mJ1Ggh8NhUaAWiwWpVEpK\nDdTXb9ZKp9JeXFxEZ2enJCklEgkBWz6fT+oLzczMoLW1VZymx48fR29vLwYGBtDa2oqhoSEJzdSC\nzefzwWKxSD0l7kUj9aYtIc61tpA4d8Z51TQuhbzL5UJzczMcDkfNOeOZYUgvQRX/xvIInEd9jrgW\nvDfeJxXXrahTnkn+XTvjgao/he+9nbElAl4/AB+MC0NErZUAUFsRUSc38SCQy+d7OInaPNIcmjaT\nqByKxaKESSYSCUHdGxsbEkvL7NFjx46J+UiTuLGxER0dHRLHe/HiRfkOh8OBUqmEYDAIu90Op9OJ\ntrY22O12aXv23e9+F/feey+uXLkiPWHpuDKbzejq6sLS0pJEtjAskQpPP6tWbORa+R5uKCI8ClrO\nz+rqqoTBNTY2wufzIZvNIhAIiJlcLm92oSLipzAmYjSZTJLdR9pHW1VAbWd7Wm4cfBbeEwBpg0aH\nMH0OHxdq9mkPKic+F61SHe2l75OCSSM3zddT8Op0ei009LU4stmszIu2hNkU/vz587jzzjvR0dGB\neDwuwosRLIcPHxbHdyqVQiQSwdTUFBKJBEZHR7F//3689dZbsNvtktsQDoelyFgymUTHr/unAkBf\nXx+effZZrKyswGQyCeqlhVYubzYbyWQyAhaopLiPjEOXLqYSpSVvpEIASNVHggWGEJfLZdhsNqmE\nyixs7jvj2dJsg8vlQiwWw8LCgvglbhXFZVw3DWKNe0dHVfGzfMb/UwKeZqQW0BQ2WhhzUYDaQ1Eq\nlQRZ6JomTF2mQAOqXX4016z/z83Ahbbb7dizZw/8fj/a2tok0oAae3p6Gtu2bcPy8jLq6zfbj9nt\ndjHxaM7Nz89LzR2v1yuRLYuLi1hYWEA0GhW/wec//3kkk0k88sgjuHTpklTeI8qm0kulUtITkpUt\ndWkF46bRPgj9d8356g1DXj2bzQqaIA3COfP7/RLDri2EUqkkKJso32631/Cm3OBcG258rrlGMVxz\nI1IDah3pXHMCAu0o/LSHPrw80Nrq0JaXVmZ6b3OQlgJq50lHiVUq1WYS2mqg9cO1YKmBxcVFxGIx\n+P1+jI+Pi3Ob1jMV5/vvvw+Hw4FYLIahoSFs27YN3d3dCAQCuHz5Mnw+n0SzOBwO3LhxQyzX9fV1\nfPe73xXK8NSpU7j77rvR0dFRw4Nr2sps3gzFjMfjUo4bQE0pAq3ENeI10rhGBQhU60VxX/B56V/z\n+/2SC8KIGypYJpnpWvC0OHK5nAR7EMgYlbbR+tDgxmg9c2j6Rgt7yoTbGVtWbExnoBk3KAAp7G90\npGmnjHaukOohctINBfg3ZtlxM2sKqFgs4sCBAzh58iT++Z//GS+++CLGxsZqOj0tLS0hEolIWdP6\n+no4nU7cuHEDDocD4XAYKysrmJ+fl4JE3IykN3K5HBobGxGPx3Hz5k0Ui0VcuHABPT09ACBNFoyJ\nSWbzZkbe0NAQAoEAFhcXpTsPHZ/GDFFSJvpQcC75unZAp9NpQVJEVxaLRZp1VCoVqSrJ7FSupTa7\nmYVJxyvw0forXCegtk69jo7ie7QPhoBAO3Sp7HmItwrJO51OUcZ8Lo3G+dy3og71+/XvpMq04tM0\nI60Dzpfm8IHNNfb5fJidnZXewrlcTpzx3GfpdBpdXV2Yn5+HxbJZeGt2dlb477m5OYyPj8Pj8cDp\ndIrSKBaLSCaT4oj1+/2IRqOw2+3o7+/H5OQkHA4HBgcHYbFYpFWfLitiNptx/vx5ANWQWq4zhZoO\ncwaqOQFG0KLnnvOl9xApTv4tlUpJOLDL5ZJQTCo+WmHaqU2wR4BjZA+0Y1ULdVoZes35uxbwRiXA\n/+vQ2086tsQbpc10oBo/rE18jUwYQ6sfVgtmzVUT9WkTH4BEe+gDQE1LM/i9997D9u3bcejQIZnQ\nVCqFcnmzpZnb7UYkEhFeubOzE/F4XBrsNjQ0oL29HRaLBT6fD5lMRg5AIBCA2WzG0tIS2tvbUSgU\ncODAAXi9Xpw6dUrKEdjtdonFd7vdWF1dxcrKCsbGxnDs2DHccccdqFQ2Y5Tn5uZw/fp1jI+Po66u\nDoFAAKFQSEI0WdqYG1CbsHr+EomExM9HIhGhpXjQUqmU0CMOh0OigMrlMhYXF2E2V1u0kd9nWCej\nZ7Tg43cb0blW3voeqZj4muZdNW+pLZOtGDqyi4pGgxbuU52cpZUtKQTSVbwe51Un/OgMzlKpVOOT\n4VkANv1QV69exfj4OO6//34sLy9jz549GB0dxcbGBuLxODo6OiTm/Je//CWO/jo6LJfLCS/OAAO3\n243l5WWJCovFYlKuY9++ffLeY8eO4bnnnsMTTzyBM2fOwOfziSNYV7fk+Th69KiU1Sb/3dTUJNYv\nAMkw15SJ/qk5ayovth8kEKGVSXAwOTmJ+++/H6FQSCwSJu/l83mpVUPWgPWmGHpKy5V8vaZFNSev\nlblRYRgtbU3VaOVNxXg7Y0sEPNE5D752tGmKhROh+1MCVYHAja01nebJOBmcWPK2QFXjM7FBdxdq\naWnBpUuXUCpt1sxgIgbvaW5uDh2/7kLDiJxSabNxCAAsLi5KnP3i4iLa2tpQKBSQyWTQ2tqKmZkZ\neL1eFAoFvPjii7j77rsxPT0taInxx2bzZphmoVDA7t27MTo6ilKphHg8Loj/rrvuko2UyWRw9epV\ntLe318yF5iS5WVZWVrCwsICFhQUcPnxYwjSXlpZEADGuXZeQtdvtovx4n+TwiaSJcmg1kFNlpquR\nc9YHQEc8aBNWIzVtiRDd0XqhWb8VQ0dsaMSpD7COZOJr+uBrZywPt46RJgrkeeD38EzRcmQ46vz8\nPGKxGFZWVtDZ2YmbN2/CbrcjlUphenoaPT09WF1dRVtbG0ZGRnDs2DG0tbXhl7/8Jb7yla/gW9/6\nFnbv3o14PA6TaTPihhZqNBqVvcys7fPnz+NLX/oSnn32WYRCIZw+fRpNTU2oVCpIp9MitPP5PM6d\nO4ddu3YhGAwil8sBALZv345r164BAGZnZ0XZ0ULe2NiQvBOjdQ9AOPOZmRm0tbVJY3GTySTN7vn8\ndOSSmkqn02hsbJSeyVSmVDB0YlOgM09EZ91yTTU1px3ARpqR/+dZoQLTVCfvXyuNTzq2BOrwRi0W\ni2Rkag6bB5VRF9rhqrk2HiaiRO0I4dD0DwUMr8+DlclkxCn42GOPIRQK4cSJE2J+kdKJxWKoq6tD\na2srfD4fRkZGUCqVJJSsvb0dZrMZzc3NWFhYkMgRCqJEIoFYLCY9Wk+dOgWHw4GhoSERDnTgECW8\n88478Hg8mJ6elvaB6XQay8vLGB8fx4cffgiLxSLO0O7u7ppwOT6vRssmk0mQyOc//3nU1dVhdHQU\nV69exdDQECYnJ4XS4udo6bBqIDc7I2QYW1wqlSTeXyfw6BK42qGqf2plrQU/DwgjZxhOCVSbT2tr\n7HYdUb+toU1/HcKpqQVNC3IetRDQQoJKk3ud88K/cxD56ftgRiUpjp07d0qhsWvXrgnttra2JrHx\nbPfIfc9y0pXKZmY3rQYqa67J8vIylpeXcerUKbS1taG5uRk+nw+7d++uKT2hS/zOzs5iz5494uCk\ncrNYLBIHT2BEZUWUzGfUe4NjbW0N2WwW4XBY6KiVlRWkUilJqtON0HV/WSaI6UqVOryRoMbpdNY0\nrNHWJ1CtKqrXA6g6T41CnhYaP0fFoEOa+f5bOXJ/09iyapKcVH1g9SEAqtpYCyhOAOOhSUXQLNVh\nS9oxBVTRkt1ul3rs6XRaQqHK5TKeffZZiU3P5XJIJBLo6elBc3Oz1JX2eDxSk4PZdQ6HoyZp6/r1\n64hEImLqmUyb/SoTiQSsViu6u7sRDAbh9XprTLBisShd2n/0ox/hyJEjmJubw+rqKjweDxobG9HV\n1YW5uTnpB/v222+jpaVFELfmBLUzlRsok8lgcnJSsnHpRAYgoZ9Gc5BCg6GPnC8KZfo3OM8UAkTw\n2plEIUwri/eozWzjweVrRmcb9wm/l3toK6pJHjhw4Jukqugn4D6vVCrizzHGQevBv9GPxEFAROpH\n+6R4dhwOB0KhkLSV1M5bZor6fD688847sFqt6OzsBACxtlgaOBKJSAYqz9bk5CTC4TDK5TIefPBB\nxONxrK2tCTW3trYGn8+HXbt24ZlnnkF/f7+0paSFTIrvwoUL4nQlDQRALFYCC5vNhrvvvlsyZrUy\np0zQdMfa2hqSyaTUyNElThh95XQ6EY/HEQqFYDJtRsUdOnQIr776KgKBADKZjFBOXAPNCqyvr2Pv\n3r3iUHY6nTX1cDjfRl6dz6fXWYNVba3yvZQLRlry//fVJI0Pw7As7Vzj5mQYnjF6QAsTToLZbJa0\nYjpz+F06u7OjowOXL1/GlStXapIsstksotEoHnjgARQKBfT29uJP/uRPpGXe888/D5fLJcKVCgbY\ndEKRsnA4HOjt7cXVq1eRTqdx1113SYVGh8OBz33uc3jxxRexsLCAiYkJeTYKw+HhYfzoRz/CE088\nAbvdjvb2dnR3d8Pn86G5uRkulwt/+qd/iuPHj2PPnj3o7+/HhQsXsLi4KNYM8NEsuUqlgkwmg1On\nTqG7uxv9/f146KGH8NBDD2Hv3r2C3HQPSj3XRGyVSkUSVfh3ItZ8Pg+PxyOCTYe06g1N5aDXlUMf\nEP4zRiDwuTRvT6poq6Jo9D7kM/I5icB1HoA+3Jxf7YTWeQNAbfIUB8Ndy+XNZvFTU1M4c+ZMjYAh\njbC2tobJyUn09PTgM5/5DMrlzXpK77//Pqanp2G1WrFz507pHFYoFBCPxyXaa2Njs6DW2bNnsXv3\nbgDAxMSERKMcOXIEVqsVv/M7v4P33nsPfr9fFDmp1l/84hfo7e1FJpOB1WqVSDPSoS0tLZJbMjU1\nhUuXLkk4sJHT5nzy9dOnTyMWi2Hbtm3w+/1iSYyMjEjJkdXVVcRiMQEXRMqcQ33PxnViaDJrvnON\nCVS1TNN0iu5xQICio4j0edXX0ZaAFvi3M7asFg0Rg9G0JpqnB12bJPo9nHC9iallTSaTIFFqbjoJ\nV1ZWcPHiRWzbtg379++XBKZisSjlCG7cuIEDBw6grq4O3/zmN/GlL30Jly9fxrFjx6QC3/z8vJRV\nZU3oiYkJeDweiann9V5//XVcuHAB7e3tuOeee3Dq1Ck88cQT4lTVmaGpVAq7du3C448/LjXYW1pa\nEAqF0NXVJc/5yiuvYHBwUFqmPfjggwAgMdAAhAvnPI+OjmJychKPPvqoRD08//zzOHPmjDQYp2NW\nO1WJEtkBi/NPlK/nUPPtmpbRm5b3xnWjwKYiB2oRDqkMCjj+1HQHrwPgI2n+n9bQB5hInP+0wtJC\nW/sXjL4JvtcYJqiVCK+TTqdFsXZ2dsr3s0bMyMiInJ2+vj58//vfx8rKilihPp8P0WgUxWIRk5OT\nsNlsEs5bKBTw+OOP15TYXVhYQENDg/QU9nq9mJ2dxS9+8QsMDw9LSWsqcYvFgldeeQX333+/+LR8\nPh86ft0TNh6PAwAGBgbgcDiwc+dOLC4uIhqN4saNG3KOtTNa57PcvHkTO3fuhNfrxfLyMqxWKzKZ\nDHp7e7G6uoqFhQUAkCqszEthpJfb7UZ7ezuSyaTUh+d+3NjYrCZptVrR1NQkVA79H7ei17iG3Aua\ngtLngGuq949eV36WP29VjPE3jS1tuq2RvHaOUZBolEYuD4BwvVrYa4cWDztDufg6TddisYif/vSn\nqKvbrH1NZ+h//dd/wW63w2q1oqWlBRcvXsR9992HoaEh9PX1CRqz2+1SC97pdCIQCKBUKkmtd9JF\nWhF5PB6pzXHx4kV8+OGHwl0SCayvr+PSpUtoaGiA1+tFb28vCoUCEokEfD4frly5gvr6epw7dw5e\nrxe5XE6yDcl7U+lRuBNhUIFs374dDQ0N6OnpQUtLC4LBILLZLJLJJPL5vCSoUIml0+kaC0s7UqkM\nNjY24PV65ftpjVAQ6SQNohCiGmOsNwUaD7O2bLRw59ChmSaTCV6vFx6P51Pby3qQ5+V9ct/RuuDQ\ngt9onlPBaVSvE2W0taOVB9tIvvbaa3j00UelWfXi4iLm5+fR3NwMi8UiMfAtLS1ob2+X4nn0UQUC\nARHe/M66ujoEg0EAqKluSVTPYnpnz57FsWPHMDc3J34hWmhra2u45557ZN8wv6RYLGJkZATd3d3I\nZDL43Oc+Jw3kvV4vhoeH0dbWJv4Mfq8Whuvr61haWkJXVxesVit8Ph/W1tawd+9ezM7OipKhDwKA\nlPrl2pCf16GcBJ+MJltfX5fItnJ5M0nKqKC1cOZret35Hp3zo5MENZXK91Oe8P5uZ2wJB//AAw98\nk4edE6J5RSO3xo2mD432nJNC4HsZXcNQKW7yzs5O3HnnnVhfXxcOcHV1FadPn8aDDz6I5uZmeDwe\niTZgXHswGMTGxmZjAjpsWFyINWGIXG/evIloNPqRDVIul3Hffffh0qVLeOyxxxCPx6VKH8O53n//\nfXz+85/H0tKSCNGOjg7Mz89jaWkJ/f396OzsRF9fH4aGhlCpVJBMJqVBMZWOdoTqjEGn0ylNw5mp\ne+zYMWncbTKZBAU6nU6haljfx2q1iqnMUrLcgETz/EmHtjHOl5uYg4fEaNpy7YEqOudrjGygcrBa\nrfD7/XA6nQA2AcCvfvWrT52DD4VC36RTUkfE8L7pLNQRF3puND1ZqVRqarAY52hjY7PyaaFQQGdn\nJ5qammoQcz6fxzvvvIOjR4+Kw7yjowNmsxnJZBJra2sIBAKoVCoIBAKYn59HPp9He3u7JOlReDMC\njPkOvD8+h8/nk7Z82WxWrFzukcuXL0v/XpYk4D3W19cjEokgk8lIs3s6NFk/nm38SL8ww4UXAAAg\nAElEQVQSvJBiicfjWFxcxM6dOyXpKhaLYXh4WJ6L5Rd02KfVasXKygpaWlowPDwMq9UqDlYdfdPY\n2IjV1VWEQiF4vV7MzMyIRUFlxHXSg+UaCGa4xhxGCkhfh9diMp/2Sb322mufeG9viYB/+OGHv8n4\nUW2C82DQHKE5o/9p4U7hoUvkau+63W6XImEPPvggCoUCbty4gampKbjdbjzzzDNSDyabzeLIkSO4\ndOkSXnnlFaytrcHj8cDv9yOZTKJU2my/l8vlcMcdd0jhr3A4XJOSzrRr8q50fNbX1yOZTGLfvn04\ne/asRA+USiVkMhnY7Xbs3LlT6BEeXnaLstls+PDDD3H69GkMDw9jZmZGMuzC4TBMJpMIe50AphPC\nurq6sH37dnGuzs3N4dKlSxgeHpZGHxaLRSwoOrW08KaSYPs9m81WUwWSDjo6qLhRjSapjiDQ3KI2\nX7VpqyMK+HeWYubrdMStr69viZN127Zt36TzXifX8P7oh+Gc8vn1s+soHDquNW9rMm3WUEqn03A6\nneju7obH48Ho6CgWFhYQDAbx7rvvIhqNIhKJoK+vD3Nzc6ivr8fo6Cj8fr/Evnd0dMDr9WJsbAzh\ncFha1l24cAEWiwXxeBxut1ssYW25sb5SXV0dDh06hJ/85CdwuVxS64ZW38DAAI4fP16DugFISKfZ\nvBl2XCwWRcAXi0Wpk0OaieW2aRHQsmD0TyQSwcrKCnw+n8iDmzdvSphvd3e3lDsm2KFV393djfn5\neUxNTaGtrU0sdaAq4EulkmS5sg8EUJvTQxnA3zk/2qnOoX1HWtBT5lGZ8gzzJ3B7AQRbQtEw9pSJ\nCwA+EjGgUT3NGi20zObaovzGWhSrq6tYXl5GLBZDb28vstksJiYmhC9/6aWX4PP50N7eDrvdjhs3\nbuDixYtIJBL46le/KkWIstksQqGQcG9utxupVArJZBIejwcDAwMfqUpJ/poxyQDQ3d2NsbExzM3N\nIZfLyXMUi0W8/fbbcLlcNQqOQowbKpVKIRAIYNu2bVIFLxQKYXV1FUNDQ1heXhalSFStrRwAGBkZ\nwenTp5FMJkU5WCwW9PX1obOzU2gfmvw8xEzTZnSODuesVCpYXV2VDNjp6emabESgmtDC59N0C60o\nTeVoWo3ORgpNnYnMaCNSUJz/rXSyUvjpYnl6PXUGtdFa1WGVnDegtpIgn5HgY2lpSThjXpcAAQCu\nX7+OUqmEq1ev4siRI5iYmIDP55OQw6WlJVy/fh0ejwdLS0uCTjs6OhCNRmuyOUk5MoPVZDIJKNi1\naxfGx8fFKmA29qFDh2roFb0fWetF06yM1tL+FfpUtJDj75wb+p1I37Lmu9lsRiQSQTwel7m+1Rlj\nEhOpKu4h3XaS1oymWfTQwAWotujT50BbYVq28TWyD9pJrymd2w2T3JqUP1SFvK4Jw9epqYFak0Y7\nI3jIyaGZzdWqjfozTU1NmJ+fR7lcxuTkJOLxOFwuF44ePYoDBw5I/ZV9+/bhxRdfFBTv8/mQSqVk\ncWZnZ3Hs2DHMzs5KiYEPP/wQJ06ckEp6AMShyxKiVqsVu3fvRi6Xw/79+4UPpdPypZdewh/8wR9I\nCVMKNC58fX29ZMRSgDQ0NGDbtm1wOp1obm4WRxeRE1D1uusyrC6XC8FgEG63G83NzfB6vQiHw4hG\nowiFQlIDnMkcTqcTJpOpJjInn89LzWxgU9g7HA7ZsLpEAc14o0VGIUanEZWjsZ6OXls61ujQY8ah\nbkhOdKxN4k9zUNHo/cvDS+TJeTQKA661nieiO33Iy+WyUAwsG3Ht2jUkk0kRCKQfWltbsbGxgUgk\ngj/6oz/CBx98ALvdjpGREaRSKSwsLGB4eBgHDx7E8PCwZG7fe++9mJycBABxfmoFqsFWLBbD008/\njR07dkjooclkwksvvYTV1VU0NTXVONvptARQo6zcbjeWlpZkL6VSKWlgrS1kTV1QsGvfj86g9nq9\nNb433gcb+DDkl5Qfs2o1M2A2m4WeqlQqEqNPEMS54PNQaPN3vda01vh3Y5w7gxpoLfOfLumh98wn\nGVvW8EOb7pqDcrvdMgnaKWGMxtCbDahmmRFpkCO7cuUKLl68iOHhYbjdbjzwwAPSSINCzO12IxAI\n4Itf/CJOnjyJcrksqfvM1GxsbMRTTz2F48ePI5fLoampCd/4xjdw/vx5pNNpEb5M2HK5XMITTk5O\n4ty5czCZTIJG1tbW8MEHH+DLX/6yCFBuUGbVUri63W54vV4RHBaLRTJcmTJN4cdNY0QH3JDZbFbo\nH97z6uqqFC7jXGphzI3J+9eZxRqlMOKGv+tQNo1MifB01AwPgBF90+lFwc39kcvlxGGu0eHtHoDf\n9qADWUe9UDlReRrNeO2f0M9izNjls5lMJolrZ/jf9u3b4XA4cO3aNTQ3N8PpdEo53GQyiRdeeAEd\nHR2IRCJwuVzSJN7r9WJ1dRVf+MIXkEgk4PV6kUgkcP78eTidToRCoZoyITabTe7hwIED+OEPf4je\n3l5cuXJF9sl7772Hr3zlK+js7JQSvdyX5ME5Hyw1rYUq0X+lsplxTbqTe4bzQ2Wos5+59ykbjDSh\nVlT8LtJ+KysrEtxBsMgSJE1NTVheXgapZV7n45S53g9G4a7/TuHNddQRY8br/k/GlkXR8BBwk3IR\nuNjasUqnC4cW/Pw8UK3zrEsfmM1mNDU1obe3F3/4h3+I3t5eTE9Po6OjQ3guCrypqSkcP34c/f39\nSCaTMJvNkhbd3d2NL37xi/j3f/933Hvvveju7sa3v/1tqbJHTzzpCZYgJhfY1tYm3Zkqlc3Gx8eO\nHRNkQUEAVB2TFJ6MdODv3IiMNNH1eGiechOvrKwIOtYIksiAvg9SMaVSSWgGmqsaEWv6RCMQXdlR\nxxdToBkVuX4v6RcANWiI16Yw8Hg8cih1FIJ2zGpO+9MeGmny3jUvSxpB73cdDgrU1unhNYx+CqC2\nkTfXhL4UnUCma517vV6cOXNGQh8dDgd8Ph/y+TzeeOMN3Hnnnairq5NcC9Jn/D76ZZjf0NbWhkAg\ngLa2thqrgyU1NEXF8849rsEHr6+Hpri4n4zv5/UIBo1+OM4l9wYdvwAkBl9bBRaLRSxv7Qdi5Bxl\nkTFwgPdDQa4VMa+h974GrfweFhm8FZ1lXPfbGVtSi4acuaZTiHxYiF+X9tUCSvOV/LyeAJprkUgE\nc3Nz0iD729/+NlpbW9HR0SEmGk1AhgTu2LEDZ86cwerqKvbu3Stc+fz8PIaHh7GxsYHHH38cTz/9\nNK5cuYJvfOMbYhqyFZ/D4ahpmsGkikAggKWlJUEHOsmHz8Fn1AlUWnjxfnX4Y6VSkc1HtML51bX1\nNdJZWVmB2+0WxckoIAr7lZUVmWedOEZhzTmmc5gChWUngFrnoabTKBwYlaMzM3kAdIElDi1wtBWn\n52mr0TvXlTQNqTE66dignc+rE2R0tJieE6AKaOrq6iRNPpVKweVy4cMPP0RzczNsNhui0ajkYbDK\nKcMhbTYbTp48KWfLYtls8MF2ka2trRgbG8Ps7Cyi0Si+9rWv4aWXXpL1ohLmmrjdbvznf/4ndu/e\nLQX5KpUK/uM//gN//dd/LXtTW3qaY6aA1j44Cl8qCz476Uz+ToRvs9nED8P7Y8Sa3j9aWdpsNkHg\nZvNm5zL6MILBIKanp7Fjxw6USiV4PB6k02lpj0mrifehz61WNjrKSysLPpf2j5nNZim9rKu/Gq1R\no/L4pGPLToT2yusNRMrAiNIpuHh4NG9FpFhfX4+FhQWMjo5ieHgY+XweiUQC6+vr+Mu//EscOnRI\noi4aGhrQ29uLoaEhiUR5+umn0dfXh66uLqRSKdncrNvhdDqlINNf/dVfoa6uTkK0WAGSHWlYDW9g\nYACBQEBQ+ODgIH7yk5+gr6/vI0pOl16g6afDSI2FvoxKTnOd3Ag625QIl4lJPGwUQHTOUhHkcjm5\nB67P8vKyIHsqEP6dh1XTDtr5rREN36+dTVo5aWqD5Rx4z5oyokKh1beVgzXFjWa7Vt50oGkBoX8S\nbWunMgVEPp9HNpsVC2tlZQW9vb0Ih8MYHx8X6y0cDuOVV14Rv8pLL70kVpbf75c6RwAwPz8v5acj\nkQh8Ph9sNhumpqZQLBbh8/lqqLVisYj29nb09/fLPp2ZmYHFYsH3vvc9/P7v/74IY1rS/DzRr/bJ\nAFXAp5G23ksAagQrUNvdyih0eW1N6egyxSaTSZrVEOCYzWbs3btX2lNGo1GhZwiutPXL+yMY0c5b\nHeRgDHTQFqfJZJKEQwJavvdWVp1+7k86toyDZ/wzK7MBVfOck6LTsGniUjDwQLPzEB/c6XQiGo2K\nMmAHJdao6OrqQl1dHcLhMDKZDFpaWlAul3H27FkcOXIEyWRSJpb1zguFAlpbW6VmC7U0Cxl1dnaK\nUCuVSpJQQacTQyTr6+tx+vRpfOELXxA0QCHHqBBWbeRmJArQXLcW7nTsMSKHtAt5ayYJcRObTKYa\nDl2bhPrQkGqiMqAS9vl8EgXDdaKS0I22+d1cJ50XYExU0d/Pg6Gjo3ThLiN3TYGpX98qikYjLB5K\n7QPRFJkWRhrJ8zOcB+3U5LxR4JhMJskY7e7ulqzVbDaLnp4eQfFEoOSZjVYwq6LS+qAy6u3txezs\nrESm8HM9PT0YGRmB1+vFxMSE7KcTJ07U1MTXClzTdFxv0pqaltLryHmk4uc6U05QPmiaVlsNt/Jv\n3Mpq5uAc2Ww2oTx1LgB9UDoyRt8vn4f3wXXXvxv3JudDU463uvbtCnaOLePggWoXeoZI6sUHajXX\nrZCg5jEB1MSW87XPfvazCAaDOHfuHLq6ujA4OIjt27fjpZdewtLSEmw2G86dO4c9e/ZInWoKtnQ6\nLYlMpDVIdbhcLrmHn//85zh8+LAIvoaGBuzevRtXr15FMBjE2NgYHA4HZmdn8cUvfhEOh6Mm3pyO\nRPKiFoulJlRMb1L6KADUHHwtFMvlslArVBJ689DBqp09WsDk83nU1dVJbDsdXORj3W63JO1QaHEt\nAchh4D0a14mDn9EJUjpprVKpSBSGRk3GzU5BqP9txTBm5WqhpoUchRLvVe9zvk+/TiXAOSkUCggG\ngyiVShgaGkJ9fT1u3LiB++67D5OTk2JdDQ4O4sSJE9i3bx8GBgbg8XgEXJHWIMW4b98+TE1NAdhc\nfwKExx57DJcvXxYaz+12Y25uDu+++y56e3sF8HznO9/Bnj17BL1qHwr3Fq1vIlZ+t7a8jD4JoCq0\nNe1C4a0Lgumic7QuKAsqlYo45dlUnN9FarVQKGDnzp1IJpMAIEESgUAAy8vLACD0ro6E4eD9ce2o\nCDT4470Dm52kmOtifG4Nhozn5nbGlgh4ht9pU4VIXaNzvcga+enPUusWi0WkUikAm4J+165dSKfT\n+Kd/+ifMzMzgkUcewY0bN3Dw4EE899xz2L9/v6TpP/zww0gkEhgcHJQMOgpNTq7X6xXkn06nEQ6H\n4Xa70dvbi/7+fvzwhz+UJItCoYDp6WmpmU0UPDMzIwkSOtJEIxkiN93+Sx8YjWw0d61pGhaX0r/z\ns1arVRCKpm30waHjVjvUHA6HXC+VSknsP1EUhTqfSStuKirOKVA9DFxHHUXD/2veXisjrdCMprtR\nYHyaQzujuV5GPxJpF+5zoApkNOLVMdqk0Jj5XCgUMD4+jnA4jOPHj8PpdCISieDVV1+F0+nEvn37\nkM/n4Xa7cebMGWmYbbPZ4PV6PxJS2tjYKNnTO3bsgNVqRTgcxmuvvYbXXnsNjzzyCCYnJ2EymbBj\nxw68/fbbiEajmJubw9raGt5//3187WtfEytU7yet0LSy0454Cl+eAQ0cSPfwWhrc8G8m02a0DPvR\nEjAAVeCSy+XEh+FyuaTVJc8PE59YX4olO1paWsQ6pb9OUzFGGaWtUSO9xO8ipQygpjieVgZ8Lr2f\n/ifAZUsEPJEgD6OOpqEzgxPHiTCZql3WtYONvCy52kgkgtbWVjzzzDNwuVx46KGH0NXVhYmJCTQ3\nN+PkyZM4cOAAwuGwhE6ePXu2pouS1WoVCoUIhenwNGEXFxfFYeXxeLC2toaxsTEpojQ7OwubzYbl\n5WVsbGxgfHwce/fuBQAxA4leNQcLVP0TFPgMraQVoy0UHR9PnpUcNwDJbCU3TATIOeWhq1Q2E5ZM\nJpM4faxWq1yH8+xyucRRzPdrQctNz+tpk1hTMtoM1f+0kNdtF3lN/V6g1lrjHG6Vs1VnWZJu0kqZ\nPibNRdOS0u8zolHSMG63Gzdv3pQUe6vVitHRUZw5c0bqywDA1atXMT8/D7/fj1KphPHxcdx1112y\nD7QgMpvNkvC2sLAgjWaIsIeGhiSuvlgsorOzU5pt53I5zM7O4tSpU0LpURAZfSx8RgporhWfm2BD\nC0UtgIHaMhfc6wR5lBv6+tqa4zmjnKGDn5YRFScVD++XSJ/PpEuC6/vR925kGDSyJ7rnudS0nVGA\n672tkf3tjC05CbogExEiUSN5VR1axgNNU0wfYnKwDEdkQa/+/n54vV7Mzc1hYmICCwsLWFpawvbt\n2xEMBnH27FncfffdspljsZikkjNWnBrf4XBI3YlEIoEHHnhA0NHPf/5znDx5En6/X/pVbtu2rabW\nxc9+9jMUCgW5f6IaHhrev/GZgM2NRL6VpioFqqZeWAAJqJp3pHS0qUdBz38aGeuNSaWlmzSwxkyp\ntFmSgd/v9/vFwatRDYW0jjDg9fk+bn5NRwCoaeyt+Wr9Ho2OjdbMVg1+PwUC56tcLosVRGpCv19b\nrprasVgskl06OzuLcDiMSqUiXHc8Hkdvby+am5sRDodht9vR0dEBl8uF+vp69PX1IZFIYGJiAtPT\n0zVUHoXL0tISJicnYbVaceHCBSSTSUnbZw+D1tZWmEwm6dC0c+dOZDIZXLt2DX/zN38jApG+NYbX\nUoByvTS6p4CjDACqe0OvO4UcG3UAkGtvbFQbYuszxP3KM6PDrznfq6urEtDBjFXdE5kWKPNDeM96\n8Fn43Vwz4/8p2DWIJDWjBylKHUmj//2fcLIC1YlhRAYA4Y01HcODr2Of+XlONtHOgQMHpL3c/Pw8\nbt68iaamJjidTrS2tqJQKGB9fR3nz59Hf38/BgYGUCqVEAwGkclkEI1G4Xa70dTUJDHCmUwGyWRS\nuij19PTg1Vdfhdvtxv3334/W1laEQiGEQiG4XC4cP34c165dQyqVwtLSEtLpNP78z/8cd9xxB4Bq\nOBgz54Aq2tARKxrFkQvkIutmGzwYGxsb0kWJRcFofTC0Uc87zV/NF7IhOFCtsVEulyUyiFYNX2cN\nGm2BaAFH34KmHGi1cKPeCu3wfmi+6ns2OuAp5CnojU6sT3NQuFBg6RBDChXOn6an+FmNOKl8bTYb\nHA4HFhcXpcbR0tKS1Dzq6+sTanBmZgZLS0sYHh7Gzp07EQgEYLVa0d7ejoGBAVy7dk2sLl3mur6+\nXpp5RKNRZDIZsaJ37dqFubk5PPzww/B4PBgeHkY4HMbVq1exurqKnTt31kQO1dXVCV1HalCjUO3g\nBKoctqYhObQVaLfb5ScjXyqVilh5PAdaeem9xAgi+sg08CiXy5L1WldXh4WFBdmzq6urMhf0BRn9\nAFxbfp8ODCmVSmLJ0YJjhJRWYrx3KiQ9T1qo/59A8EaOlOnqnBSmbGtUxteA6kYhl8lqdgsLC1hb\nW5PoF5/Ph8XFRdHQpBei0agUxMrlctKjMZ/P4+bNm3A6nYjFYtLp3ev1SsLQ6Ogo3nnnHTz11FN4\n4403JEqFDprr168jGo1iz549sNvtaG5uxoULFyTFmWYklRfrZWgnMtE4NwUXmpufc6ERv91ul422\ntrYmlBOjWhjdo0PFtBOWSINRK8AmlcbvbGhokGqNjPThBtYZgFwrOpy1tcG1I0Wk15L3TuuOQlwL\nPKNfRmdYaoS/VUKeylQLcGP0Dw+sfo+OluGg8LLb7dJ1i5nC6+vrcDgccDqdqK+vx9TUlGT5sjYR\naTuWy81kMuj4dQVVxr9Ho1GJQvP7/RgbG5Os2Fwuh0AgIOg4k8kgnU7D5XJhdnYWXq8Xg4OD8Pv9\nkkxFC5W1WzRg4bNybYGqparPu15PYwkA/Tkdgsn/a6FILh+A9GGlvNDZrNpPRNCjc27K5bJQw6QO\njWBCC10CL422jX4I3rcRvev1Nyp/vb9ua0/e1rt/S4NmK1A1ebhArHls5GRvddAtls1U50uXLuH0\n6dPIZrMSs84NR5OWoYs0HRnhwu/q6emRJBGz2YzJyUn09/eL4FxbW8PCwgIikQj+5V/+BV//+teR\ny+Wwfft2+Hw+NDY2YmJiAhMTE1KZLpfL4Wc/+5k4asjls8QAF56bhUJQxynbbLaag6GjTLQjmJUH\ns9ksXnjhBbz77rtIJBJSs4WU0/z8vMwhnb9m82ZFPpacJSonyqHVoQ8WoxTC4bAIZTq3tCmuwzA1\nh64FO5+H79FZj9qZeisBrs1XIp+t5OA5jKY7gJpoIKO1oS0jokxagQ0NDUJ9cN2JAkljLi0tob29\nHY8//jg8Hg+uXLki9MuhQ4eQTqfx5JNP4tVXXxXqkPRkNptFPB5HV1cXcrkcfvCDH0i9pFwuh7a2\nNpw+fVoSi9LpNJ5//nns3LlT9oiOVmloaPhI0g7PmU6WIuet6T3KBVp53P/5fB7nz5+XssJsq0fn\nLC1xbS1QmLIkg/FvdLiyVo3D4ZBm3KwrTzBDzv43gQe9P7mO2lqpVCriqOX8cN/rs8Oh6Rr+NILj\n/25sGQcPVA8ztR4RmUY2xlAhvk50m8/n0dXVhe7ubikvSkTrdDrFzH///feRy+WEP25qakIkEhGB\nns1mcenSJel3WigU8NZbb2F+fh4PP/wwgsEgQqEQzp49ix/84Af41re+hfvvv18okf7+fly8eBHz\n8/NIJpMYGRnBuXPncOLECbjdbik12tDQIJmnmpcj4tXImkKfqINOZaIBokV+Lp/PIxgM4h/+4R/w\ne7/3e9i3b5+Y+eQWI5GIIHVgE12wL612/PDeqAQaGxuFi3e73WKW0wTV5reOFtDCn+/RFRU10tKO\nR22WamqOQytHjYq3cuh75l7mT+5zOquNVAVQVdqaA6Zly7msVCoCYrLZLNLpNMrlsqDmH//4xzh4\n8CDS6TQymQwKhQKy2Sw+97nPiRVmMm32B96xYwfefPNNQeef/exn8eabb+Lw4cNCjbBdHq0Hk8mE\nkydPIhKJoLm5GQCkXgxQRddAbbln/awUhKRXtHNWlyXQyN1sNuPgwYNwOByYm5uTSC6eHdaOol+P\n+3B5eRm9vb2SG0IunlYynczj4+M1Ybv0qbG5Nu9DWxj8P5+H79PPydf4fyojLci1g/2/G/8nKBod\nCUIEmc1ma8wiDr5PJ/0QGeoaEXQIUuDk83nMzMxIq62WlhZpCvDuu++ipaUF09PTiMViyOVy0rnI\n5/NhZWUFTqcTe/fulezVlZUVKWFQKBRw9OhRuN1u7Ny5E729vYLIl5eXEQqF8M4776C9vR0NDQ0I\nh8OCSuncYfIR50NHFejIE6AaMaBNXiMyNpvN8Pv9oqimp6cxNzeH1tZW9PT0IBKJSASHDtFraGgQ\n5xJbuGmukWiSYWUAxAIhGuH7uXb6s5pTBPCR95Ay4nPw2agMNPrTkRFcf83PA7UH79MevF99gGkB\n6eQyTVPo0Dh+VtNURsXJCpq5XE6Q+MbGBu699168+eabKJfLmJmZQWtrK5LJpDSo6enpwdjYGHp6\nemTN/X4/7Ha79CAolUoIBAIwm82ihM1mM95//30p+bG2toZ7770XsVhMKkByb7BEL4W2Ts7jnBjP\nt35mbYHpCBz6q7SDmFFzdDTrLG5et1AoiAVEdsBsrtbn0VQkM4RpDTPMlPLGmMCklc/HgRE+F4f2\nJ3IYaWd97dulY241tiyTlTGndKySBtBCXCM7muk8CLqwEJ05/Le2toZQKIRYLCY1VgKBAP7sz/5M\nqJnJyUnhJkulErZt2wa73S71VXbv3i09Ud966y00NTUhFArh4sWL2L59Ow4ePCip+/F4HD/96U/R\n29uLu+++GwMDA/j617+OXbt2wWQyYXR0FNlsVjYYlZWu/8LNSYGntTprcdDK4WtAdcOtrq4K19jY\n2AiHwyGxymxyQoHIg0e0E41Gpba7djzpbFsqUjrpqGhY05/X5ebUiEejHuOaamHHYeQeeT8aAGjk\nbxTuW8XBU0mzrR3vmU513i8VNQWefl7ON9GezgBeX19HJBLBxYsXRZhaLBbY7XaMjo6irq4OPT09\nMJlMaG9vR6lUQk9PD8bHx1EulzE7O4uOjg5cuXIFjY2NGBkZQXNzM9bW1uD3+/HKK6/g+PHjcLvd\naGhoQCgUwuzsLFpbW6Vpxo9+9CM0NzfDZNpsMONyueDxeASEGH0QWmgR5Wsgw32sQYeeDyp4ACLE\nqVgAiFXO9/P6ZrMZs7OzohxMps0MbofDgcbGRomqY0j04uKiFA0sl8vSfpPPo0v2Ah/tVKYH9zXX\nWN8bzwrXXgcNaOr5N+2x2xlbIuDZ5mp5eVkoEm6QbDYrh4PCkBOluVsKKB2dwLT9UCiES5cuSUZm\nNptFR0cH/vEf/xEA4PP5pK5LJpPBysoK5ubm4PP5EI/HUSwWMTExIRmrbrdbhGRPTw+OHDkitTpm\nZ2fx9ttvo7W1FYuLi+LAymazSCQSwu8Bmwc7nU7LxiHq5+ah4KWj02jR6KgShljx/aRxdPQJ6/Bo\nSkuHI9bV1UmqOVEFOU273S61uC2WzfLEzLzl+3X2qrYwgNrYX25irhNQzcoFag+N5uK1suD1qNyN\n6FYj/K0S8FxHPhdRqb5f7agDqlFD/L+RrgKqETWBQABDQ0MShsuEO/YtiEQicrYSiQQ2NjYQDocR\ni8WkmU13dzcqlYr0HG5ubkYwGEQ6ncauXbtw48YNAJvzf/bsWczOzmJjYwNtbS5TnBoAACAASURB\nVG34u7/7O/zxH/+x7FsWBuQ9Z7NZSaLTlhsFoebZNR/OZwSqdYr4N21JaNqrrq5OEhuB2nwQ7Q/o\n7u4GUM0GzmQySKVS0pSHyL1cLqO5uVmEfKFQwPLysuShGC2EjxO0t3Kicg4IsLSy4N/0PPDzxvE/\n8S1tiYBnSQGGkNHZAlTLZnKz61BCIzevkQ0FUzAYhM1mQygUwtLSEiqVCiKRCE6fPo0dO3agtbVV\nEDSzPJm9NjY2hkpls4lBsViU6IWlpSV4PB5UKhXs2bMHP/vZz5BIJJDP55HL5STMs6+vDz/5yU8E\n8bDsAE1eLprf75dn1NEldXV1svG0FmcCmDbdiPK1dcODoc1d7ajmYaGDlBuMpQsYXqn5T6Isj8cD\nq9UKl8slTnJ2f+L68DmMZrguoqb5VV2HxHgojOhPO1m1RaBNXP36VgxtcQDVuvpE43po810rPv08\nGu0RVfv9fmQyGbhcLjQ0NGBwcBDXr19HZ2enrDOrblIIjoyMoLW1FbFYDPPz82hsbER3dzemp6cl\nz4IZrmz20tjYiLGxMaEp/+3f/g3d3d1CExFp2u12oUEZp85s7VtZoVxT7VzX1JW2aPjsmq7SCVEa\n9fJMU4Gurq6itbVVMlsZdAFUQQwAaT+prQXSVVw/o/PeCCCM634rKk4DEeM+5v9vJcCNETq3O7ZE\nwOv4ZV1qQPNOFAQ6vlU7YTVnxb9ZrVbMz89jaGgIjY2NUj98cXERABAMBjE1NSW8pU5u8ng8OHLk\nCAYHB3Hjxg3k83kcPnwYb7zxBoLBIPx+Px566CFcuHABwWBQ6nosLi6Kk/dv//ZvceLECbhcLiwt\nLdUIVaIdUkgcetN/XIQF32P0tBMFc2PTAavTn1k3hqhRZ7UWi0W0tLSgrq4Obrdb6LFisSiVEXmg\naTEQwTc2NtZU2GNkBxHprSIitEmu0b92rmnkSuGv0YymPmjqG6mgrULwFEaMnOHaM9Xd6JjT5jiF\nvFZSRKqMqPnwww8RDAalAQVpl/3792NmZgbpdBputxsOhwN2ux1TU1PIZrPYsWMHzp07h97eXtTX\n12PPnj14/vnnce3aNZTLZRw4cACzs7MCZMxmM86fP4/Dhw8L133HHXfg8OHDNYXluB9cLpfEzutS\nGLphNFE/B0MJdelcygRa5prLZhBCpVKtacNIIqAW7dfV1eHixYsiuBkBZjabpZYMAZPT6RTAQiuJ\nOSMrKysChvQwUig6MEJbZPwbf5Km087YWyF1vbf/t2NLBLxGezrWWhffMjqatGMOqGo8nQlKHplR\nK2zWa7PZJHpEUyMTExPI5/MIhUJwOBw4ffo0vvzlL8NkMiGRSODUqVP4yle+Ao/Hg+vXr+PFF19E\nR0eHJIU899xzsNlsaGpqwnPPPYcnn3wSDQ0N0j6NyoiJSvTg0+TjfRCV6Lhu7WjVKJ0KgM28KQQs\nls0SxQsLC4jH45iensbNmzdx9uxZSV0fGxuTxtzFYhGjo6PC6ycSCUEujEZi3XcA4j+gYiD9xQPA\nNdJICqit/a/RGgcPtbHmCA+9kcs18p6auuF3bBWC1/QKUJtMpjlmbT1pq9So2HnNWCyGfD6PWCwm\nCHN8fBzbtm2TInjaD+VwOJDJZBAIBCQh7MSJE3j55Zcl5M/hcMDj8eDYsWNIJBLYsWMHNjY2EI/H\nMTc3h76+PgSDQfT29uI73/mO7BOG4xqRuF5Ho+Cl9WUMM9QKXs8T97TmpGml08EfCAQEJDBZy+v1\nSqTZ/v37AUDu2Ww2Y2VlRZL2aF3QyVxfXy/XbG1traGXjPy5Xs9bgVMObVUCqLGwjftUR9xw6EAK\nvud2x5Zy8LpYEA816QXNu2uBrzeU9r7b7XZcuXJFQsFoqjkcDgwMDMhiEOGsra1J3DeRSDQaRbFY\nxL59+9DX14e6ujq8+OKLePTRR3HPPfcgGo3i+vXrmJiYQDqdxqOPPiop4jdu3EBDQ4PE1bJkKuvK\nZLNZqflBE5FIT2e+kX/XGl5bMVNTU5iYmJCIBtYIn5+fF6Fvs9lgt9vh8/ng9XqRSqWQzWaxtrYG\nn88nCiwWi8ma0NnE79ENGCgUgKqDnFQOOz8ZQ9t0CKSmp7h2vBbngGsMfFSIUwAahSJQa/oSHW2V\ngM9mswCqlBRRJufESCkBVSSv71s7qF0uFy5dugS3243GxkaJWGlsbMTJkyfR2toqFl6lUsHy8jIc\nDoc4yHnWxsfHJQ9iZmYGKysrOH78OKampjA3NweTabPgVqFQwMWLF5HL5RAMBrG4uIiHH34YNptN\nmrQQBJDDJhW0vr4ucet8Zm2l8Nn5O888sCkT4vG4WBDamtHKXws5WqqUFfQZJRIJoYl4LVoSmUwG\n+Xxeotjq6+slgU+HFPN3XWab6JzPxH2so7m0kNbAR/uS9D7m0JTVx+1fowL4JGNLOjrRdNK8JJEf\nUDV5jJufE8vXuFHuvPNOXL16VTz6pdJmhyan04mLFy/i6NGjNUKU4ZUsz5tKpVAoFNDZ2YmFhQUk\nEgm4XC6JLX722WfhdrsxOzuLvr4+jI6OIplMolAo4DOf+QyeeuopPPnkk1hZWUE6nZaa6dwY5EPJ\n92lUqk1IbY1w6EQwADh27Jhcd2FhQVCzNufL5bIkdhHV5HI5ORCMHuBhIhXDaywuLsLpdMo8c065\nTvxppFQYbqc3K2klCnCjANb8phaCtzoAvEdtAWo0rA/UVgyN4Ek5sFge0+u1ENdOVQA1wAYAenp6\nkEqlUCpt5m7YbDZcvXoVdrtd/ETt7e1Ip9OwWCwS4tvQ0IBAIICJiQlpyL60tCTtJd988014PB6E\nQiFMT08L755MJnHu3Dncf//9iMVi+NWvfoXLly/jd3/3dyV6inH13BMEV9wHLFNAIcp6PEbhxr3D\nxD+LxYJwOCz9GLiXgeoZ0MqRnDoFvM1mQyaTwfj4OFZWVmQdaGmyAQ8AKYVcLpdrMoSZ7EdFTQCp\n97P+qfl5DXJ0QAgtTB31ZrR+9LNpIKRRPa/5fyKKRqM2mv4UMnqD6wQaoHZyyLe1trbiBz/4AcbH\nxyWJY3R0VELI7r//fikkxOQR1ngnap2enhY0sry8LA1C9u7di927d6NcLkuW7OTkJFKpFHbu3InP\nfOYz+Pu//3ts375dkBKFE9F0KpWqyYTj63y2TCaDSqUaYqiflRtbp2LPzs5iZmYG4+PjUnoglUph\ncXFREl/y+TxKpRKy2SzGxsZw9epVLCwsSATByMgIQqGQXJcmcqVSwdzcHOx2uzjadBclrp1GXhyk\noriGGn1pBGQ8LMbwOKPJb6Rp+Lrxu/lT0zmf9jCGffK52KhcAxbtmNNRJny2lpYW/OpXv8L169el\nNtK5c+eEbpiamkI8Hsfw8DAsFgva2tqQTCbR29sLn88nf2cmN/feu+++i2PHjqG9vV0CBRjxNTIy\nIv0T2Ej+iSeeEJqHYMXpdEqJD2ZKs7je0tKSnGetsHjedXy7pjXYTN1sNkvJAxYCa2xshNPprGlK\nTdBCActigACwd+9eiaYpFAqiKObn5+Hz+aT+e6VSEZDH+aE/wbgXgY9SLjogQPsNiOgp+LVf5uOE\ntObmjU5bDYpud29vWS0aml1MUAJq6ykD1WgQHWGgNW9jY6N0gg+FQmhoaJAeiqVSCQ6HA8ViEZlM\nRjrEm83V0r+8RiAQQLFYxNTUFGKxGOrr6xEKhTA1NSUCeXV1FcFgELlcDnv37kVTUxM++OAD9Pb2\nCtol36ejg+rr6+FyucSbTzTBeSB64sYwWiia8yP3qTnNYrEohZiy2SympqYwNjaGiYkJXL9+XcLl\nNJLWZVYZuUO/AJ+F38foCN4POUf+bqQVdKgk71UjMB4SHgY62nRSDFAbgaCHjrLQwlw7nrdqaKch\nn4X7Qkc1USBoqoJ/pwVWLBbh9XoRDAZhtVqRTqexsrKCUqmESCSCuro6zM3NoampqSa7meiUTm9g\nM4SV1kBTU5MgVa5jIBCA1+vFzMyM0HsDAwPo6+uT/c810w7Ocrks6Jvx5kTrTHbivtcORaO/hPNm\nDBcll09lwaAFOqwbGhokq5chkG1tbQA294Hu9sb+qnrOmQfD0hw6XJn3oIW6cU9qBaWpGw00eJaM\nf9PBFMZImd+E0m+XftwSAc86GDqqgpuImo4LqjWa5i2Xl5cxNTWFdDqNnp4eWK1WRCIRZDIZ+Hw+\nWCybZVZJp5TLm8lU8/Pz0mqPWXD79+9HKBRCZ2cn3n//fUQiEXR1dcHhcGB4eFhqgSSTSQSDQQm3\nGhgYwIEDB0SokdMjki0Wi3A4HNJBxmQy1XRq4oFmITMdF66dQEQ/eqNrJyhzCXh91usOh8Nobm6G\n3++Xgz82Noa2tjYR4LlcTkxpJoGweBqVL7vZAFVzmWayFuY6OsCIVkwmkxxMWi+6xhDXmdfRURSa\nj+Wg0500AedTO6o/7UHaQJvVfC6uIYdG61rwMWQ4kUggEAigoaEBHR0duHr1Knp6erC4uIjV1VU8\n9NBDIvA2NjYwMjKC3t5eTE1Nyecee+wxTE9P4+LFi5iensYdd9yBbDaLubk5zM3Nobu7GyaTCcFg\nEBsbG/jSl76ExsZGvPzyy2hvb0c+n5faUOx9wOd0u901VVEtls12gCaTSfr26lLTpBL1XNAyMEZe\naaHHOdIUK88CgRyb09DhzH1AZVUqbRbEczgcAmjMZrM0nqffgN9Na5bIm8+tUb2RJua9aUVGJah9\nUlxvTfcYI284fhtU45aVC2bYUz6fl42gM92M3mROOAWI3W5HKBSSMCcAGBwclKJChUIBsVgM2WwW\nzc3NqFQq0pKsVCohHA4jHo9j7969/297bxYb13mejz8znCFn32e4k+ImUpKthbUtL7ItJXZtJ1Za\nA3YT17koetObAkHviqJ3vWgvmqAXLXoXOHCBJk7dpI5jO3ESeZVtLbYsyVpJiZuGHHL2Gc4MZ/1f\nzP95+Z5j/VCrCEwEmBcQKJKHZ875vvd7l+fdsLy8LBv7wAMPiCU8Pz+PSCSC1dVVNBoNxGIxNBoN\nJJNJ/NM//RPuu+8+Q9tPMkOxWJQce3bg48EsFouCt5PhvV6vMDsAg3tLxib+rKEOpjXabDaEQiH4\n/X74fD4Eg0H09/djfHxcYCAAuHjxIsbHx8VibzQaogyJEdOaYlqZx+MxFDFpy1C73HrPNIauq2/1\n31mtVvkdrRquJWCcWQp8cWgC78MDq7OJfh/pZf8X4rPpRluEZ9hy1gzfAMbB0RrLZTB+dXUVY2Nj\ncn1vb68MySa2vLKygitXriAcDiORSGBzcxMfffSRQI60aCcnJ7G1tYXl5WVYLO1mcdFoVIZN/+u/\n/iu8Xi/C4bChWpwBeHqcNBBKpZLso91uRzabRblcRqVSkfRaXZlNi5qQBr0BrgO9WO4x+ZDYPuMa\nNGwo3E+fPi3ZYbwXr61UKmLg+f1+CRgXCgWBabu6uuRs0jPRntbtFI8ZptTfa1414/D8/e3gHvKI\n9tRvd/8vSzs2so9Ci1FrMgmFnsYpeSjoUuqgAwBJQSRmnEgkMDIyIhFzWkbaJSUTut1uXL9+XQK/\ng4OD2NjYQDabRSQSQalUwtTUFAAgkUhgbGwMr776Ko4ePWqYzkPGbbVaUgXKd9ra2pLBIYRAWq2W\nHBoWmDCuwAwACnOdM05By0PDNeOBi8Vi0hc+nU4brOr+/n5hHDJsPp9HMpmUZze38iXz0xrlwWSj\nJzM2yAIyHl4qDlraZoy82WwKRsq9B4zdFfk9YMQ9qSioHOkO7xRMw0OvLTdOSDLj0to70V4O11nj\nr/yXy+UQCoXQaLSLzEZHRyUPnR5VKpUShZBMJrF7927JTT937hwSiYQYFIFAABsbGxIordVq2L17\nt6QJUlHTQtfwGI0qCuNWq2VoI83mehq2o9elLXneU2PYOrhJPtC9bQjpUWgzxZdes25DzGI8GlQ6\nKE/DBmhX1bP9g5Yv5piBOcDP/5PMClzDqVpAa2iTXzV0pT0D0v/Fot8RAc/iHG2VNhoN5PN5ceMB\nI1RBN0e7QRrHJbZNZi6Xy/D5fBgdHZX+MrT0ms0mrl+/jkqlgsXFRUxOTuL8+fMol8s4efKkRPMH\nBwfx0EMP4fPPP0cymUQ8Hsdrr72GY8eOYXx8HFarVaY9kYHIhLSwmZ9OQUfLQOf5U0CxrQEtQN5T\nW8k6Gk/hzoND5VYoFCS4y2yE9fV19Pb2Slob147ZFOyux0paHio+n7lvDp+dKZAactOl5twbHg4e\n9ts1JNMHX++vtuy1YNDX8DpzrvVXSRQkfE6uUz6fN2DN5owIbchob4g85HA4UC6XpRnc8vIyLl26\nhGazKZOdqtUqIpGIQBcWiwUHDx6UNWf6bHd3NyYmJhAIBDA3N4fR0VFYre1sqx//+Me46667hDe5\nV0wQ0LASP1Mba1wDn8+HaDQqA0WsVqth9Ka+XscmeMa1ICYMxf3XsBx5c25uDo888ogoV20QsuiK\nRKOMxXo9PT2SG89+UUBbgbndbnl3vhu/aute/5zfa77kdTr4yv2+XSBVf5aZl+/Uit8RAU8Lk8KM\n2SB8SUI2evPNLo0WdNwA5r8TN6bQp4XDv9vc3EQ0GpUmTSdPnsTQ0BCcTifC4TCsVivGx8dRKpVw\n5swZzMzMSGBrfHxcgqKM9NPq1m5Yo9EQi4BWAd1KAIY0SovFgkAgINPbGTQjvmjGmqno+K4MRtEr\nuR02XqvVJJ1NWzGlUgmZTMYwYYqfQYHOTAktoJnWysNKYa+79PHzzdCEdj11hg4POPlA45xawQPb\nrQ14mLSA+H1gl/8X0oJEB9H4vFR2VNpaGPD3VJR8T8IJTqcTm5ubsNlsuP/++7G8vGyAJ9mDfWho\nCIVCAVevXkW1WkU4HMb4+LgE0Kkk6vU6QqEQLl26hPPnz6O3txfPP/+8rJ1OQ2TaIZUnz6duidBq\ntcRb4Zn0+/3o7u7G6uqqZN3wfJj3Sn/PdWThHQO39I6pfKxWK3K5HB5++GFpXAhA5Eqz2R5lybNr\nsVjEk6ey5di+WCwm8TNgOw1YkzYu9D5ra9wsqMmzbrfb4Dmb5ZkZ3iGZ40l36p3uWKsCbgbQnr9J\n4USrk9CEjkZr6xHYDlRRMxJbpFXBwgtiyhpK4cSnyclJDA8P4/Lly8hkMtjY2ECtVkNvby+sViuG\nhoZgsVhkEAAhFmA7VbNWqyGbzRoyTGgdmwNtLLCgdcviCgas6NoS1uA6UBnQC6ACqVQqksmgK0t5\nIMhUg4ODEljmPSnEmelAbJX7wPvQhbdYLAIRMECsi1D4M8DY2U9b6AAMSsEskLVwA74oNPk5ZsHJ\ntWKwbSeIVdO6LQG9VQ1laGgCML6jVsxUBLVaDTdv3pSh7y6XC7lcDgAkUE7eI4/QkMlkMmLFhsNh\neL1ezM/Pw+VyIZFISEHbW2+9JUq62WwacsnpoTLgStxaeyL0QnWVKzNeNF6uU6T5/Hxvs0Wsz7nu\nO8N/NpsNqVRKLHxmgnHdHA6HzFfWpCtKde0NW5YD29CYzuzSxgiJSpt7pvdQGyEax/8yVvntLHht\nzH5Z2pFCp66u9pAJbhjxPx1o5UYB2xtsPhhkClr/vb290vBoeHgYn376qQSn9JQZFi319fUhGAxK\n2mSr1c5MWVxcRCwWQzabRTabxSOPPCLFT8ViUSrdaJU0Gg1DKTctBApfTmbnBhMuymazciAobGOx\nGEqlkgzazufzElTm2nHdyFxs9qThCbaAoHDhc7GKl1YxMw14HypQCku+H9BWxKxXoCJj730d4NTC\nDDC6rhp/ZoCY70ThonF2fVj03/I5uf/ZbBbFYhGXL1/eMQv+b/7mb1Aul0WJUniykIaxC0JffBed\nBcT3JE/X63XEYjEJ1oZCIXz88cc4cOCAQDecpetwOLCwsIADBw5gcXERN27cgN1uRygUQqVSwfr6\nOkZGRrC8vIxwOIxms4n33nsPf/Inf4KurvYsA/IUU4xZkc2AL/eRUJ4OPJKPGbwE2ta03++XqWJU\nyDRyuO/0VjUMS6/TDH/SgyR0qDNdaJToinBONms2twejUOiT51qtlpwh7gUhXx0M1tARAAOf83t9\nPim3fD6fZMuZrXJt8PD+WpnRe97c3DQYxl+GdmzgB2ELTmPxer0AIOl5WntrS09jcbQ+JyYmcPz4\ncSwtLUnl3sLCAiYmJgxWEOERVqoxrYvNmVih19/fj9OnT8NutyMYDOJXv/oVQqEQdu/ejWPHjski\nUyg2m01RLDpgZE6LonVLyxvY3txMJiMM63K5MDAwgOHhYczMzODw4cOYmppCX1+fBGt1wIfpXmzu\n5HQ6hVl7enrESqFApADiGjabTfFQKNj5TnTR6/U6isWiQSHxHbVAr1arBtiN76nhKL2PerK8OdBG\nhcj31O5wtdoeNbexsYGTJ0/i4sWLAIDHHnsMf/qnf/p75tgvR/QQ+Zw0UrjO7EfOtbgdHqv5fWho\nCLOzs3jppZewZ88evPHGG3LgWTXNilV2O7XZbNi1a5cMeCFcd+DAAayuruLatWti6DQaDRw9elQE\n1rlz5wx8RSOAfM3vARhm/XJPNUwGtHmbRlBvb69ks1Ax6EaDzeZ2P3n+bb1eN+TVayVJZUOe0bML\nyKPE4H0+n5xzDfdqj5OfyXOkBbiGFfl5OjhK0sKZa6oTR3Tv+tsJee3tVioVKcIsl8twOp0YHh6W\natwvSztiwdPCZQ4vNTAZklan1moADFYO/w8As7OzuHbtmvSujkQiEsykRcXqNb3orOBbW1uTMXRM\n7RoZGcHZs2cxPj6OYDCIl19+GX6/H3/5l38Jv9+PxcVFWK1WydyhYGJwhhAK00F5SADIBuoCJGLy\npVJJJu1QYJB5w+GwVOFqxiRTE5Jixd/o6KgEPev1Oubn5+WzeaC4PhpSAbbxT8IztKJYGbi5uSme\nhX5/7hOfy/x/XdCi95R/y0PE32kXWf+uVqvJoAa73Y4DBw6gq6tLGm/tBNG703CDtnDJt9oSNfM3\n19FisWDPnj2Ym5vD5OQkyuUygsGgAT9mCiB5SOPMXq8XoVAIHo8HGxsb0g6YmT1DQ0NYWlrC6uoq\nRkZG0NfXh1u3biEej6O/v1/2irzBfWPnRR00J39pCEpDEmxXwGpUvjf/hoaSDrByvbSiJI/oZIlW\nqyVTm5iNR4hMp13zXlwfHb9gAgR5nkYhJz9puITGEdfDDDFq5aGNIA25moW7JiqZra0t5PN5aRHN\n+90pBr9jEI2usmMgkQOxdUUnYEw94uGhi/7www/jySefxLPPPovh4WGsra3BarUiFAoZmiG5XC6p\nKK1UKsjn87DZbMjn83jggQdk7FcgEEAgEJBe2PV6HZlMBt/73vdgt9vx05/+FEeOHMFzzz2H119/\nXRiJh1YHdGmp0GrRFgIFbLFYFA+C/WM4IxOACGNNPEBmTI7VrLR62Jiq2WwiEAjgmWeegcvlwokT\nJ7C2tiY4JYVRuVyG1+sVLLNYLMLn88lz6fWnQgIgwoNxBBZe0e3WlrvG4WnZUCjo9DezNcbfkx9o\nDITDYezZs0daMTscDsn7/6qJ62f2OGgxc131PFtzrIKwwgMPPIC/+7u/w6OPPopAIICzZ89iZmYG\n1WoVoVBIer2kUin4/X6srKxIx9R0Oo2VlRVMTk7io48+QiQSQTabxaFDh9BsNnH69GmBWKzWdmvg\nUqmEp556CqdPn8aJEyfw+OOPS9tct9stVjDfhdY795g/I1/roi8KdxoFxOsZi9NKnzyt7w9AoA4q\nAX4O++C3Wi1cvnwZ0WgUwWBQrtWKw2ptd5SkQcKCLSoFVvdSuLN9Ac8r95Qwlj57FL7mnwMQRaxh\nKf03gBFzr9VqSCaTUt+i4TCdwPBlaEcgmrGxMYNlYLPZJEDFcmda4GaXjxaMw+HArl278A//8A/4\nq7/6K3g8HjzxxBMYGhqC2+1GpVJBKpUS5VGpVJDNZsVNttvtWFpagtfrxS9/+Uusr6/j+PHjCAQC\nKBaL+PTTT6VxGDHejz76CM899xyy2Sz++q//Go899phkEjCjhdg3g2sAhGlo9TBfmGlm2lPhJtIN\n11F7nYJIgcl1ASCpX7xOY9aFQgEvv/wyXnzxRdRqNXz3u9/F008/La4sC844xERb+NyDcrksA7op\nZPmuHo9HDguLo/QAEeKmDGbpQhgWhukgFq83B9UajXZV4qeffgq3243e3l5pqFav17GxsSGZEF81\njY6OCvzHQ873InSl98acjcEY0OjoKH7yk5/gm9/8Jvr6+vCNb3wDGxsbiEajqFQqhjYb9PSmp6dl\nv0+dOoVHH30Ui4uLePzxxzEwMCCB2I2NDdx3333wer1YXV3FPffcg1KphKeffhrpdBq3bt3CP/7j\nP+Ltt98Wz1orY64toQQWFuqiKA0B6qwgBoBpnOlUTApNLfBoGGmhSgVABUmyWCyYnp5GMBhEqVTC\nhQsXBNoAIAPlNzY2xAChIUmBHovFpGcV0zsZb9OxL74bAMliA7azaGj86OwysyDXBiz/jsbnxsYG\nIpEIRkZG4PP55BmZAXUntCMCnpi7w+FAKBQSd5Aph8D2waDA09WQZLJf//rXePDBB+FwODA2NobX\nX39dMGyPx4NcLoeZmRkMDg7KwjHXfHh4GAMDA1hdXcWxY8cwNzeHf/mXf8H58+exurqKw4cPY2Rk\nBFeuXMH4+DhyuRwOHTqE9fV1ZDIZPP300zIHkx4Ji5uohDQDkzkYjGUKGa0UMj09AT3XU8NZFIK6\nZYDOXdepdjogTRe+q6sL8Xgcr776KrLZLJ577jlZUx4GfajJvOVyWdogUMDrtDBCTvye1nSz2RTY\niOmfPAA6wKX7qeh0SCo+jb9y0tbQ0BCi0ajATnzXnbLgw+GwrJ8OlDK4xkOuMXidYcVUyOvXr2No\naEiCcydOnMDMzIzwTqFQwMjIiOw93Xi69gsLCwLDvPfee2I89fT04PLl0d3dewAAIABJREFUywCA\n+fl5TE5OYnl5Gf39/VhZWUE+n0coFMLvfvc7SZHls5oDqdxH7dXpALH2TmjoMOZGD0bDd7T6AWOP\nIVrz5BOzoKXA5BrSWBwZGZEWDfqeFPTaAKrVajK6TxtV3D8N+enEDr6j9sp4Jphiqgu7+Ow8l9pA\no/JLJpOSrs1Omxp+u9Msmh0T8BsbG4Kz0woJBoNwOp3wer3wer0G95zuTa1Ww/r6upRd22ztaUQs\nBKFmtFgsGBsbw61bt7C2tgaHw4FAIAC3241yuYyVlRUMDw/D4XDg9OnTmJqawqOPPoq7774byWQS\n58+fR7VaxeDgID799FPpY5NOp/H0008jk8kgk8ngnnvuMaTvER/nO9FK6OraLjTp6elBPp+Xaxlw\nZuEFAOkIqQ8YGdhc+m3OxeVX4v7a6qAQTaVSePfdd/Hzn/8c3/3ud/HCCy9Ifj//jq43g7d8R3Ox\nFQUvBb/GC6nInU4nIpGIVPm6XC6EQiGEQiEpi9e1AeaYAPf9ypUr6O7ulrbJxFG1Racx/q+SfD7f\nFywsXRdAQaVxWwop5nvrKUgDAwNIpVL4j//4D2mqpb3DZDIpRtDIyAg2NzcxOTkJp9OJkydPwufz\nYWJiAhcvXpSJUP39/RgZGYHH48Ha2hoOHz4sQcVqtYoLFy5gfX0d3/nOd/DBBx+g1WpXM5N32PCM\nmUDkSyoEAJKtReyZgWEdRNV8SuVHhQEYx97RGNDeHAADr/FeVDThcBj33nsvAoEATpw4IfBhMBg0\nJEJoeDIQCEhVtw7483s+M59JZ/vo9+C5ZyYOBb5WmCSet3K5LPDy9PS0xLt4H8Y+/iAgGuJglUpF\nHlzjS8T5qPW0O0UNTS3K4cFXrlxBNBqVg7O5uYlz587B5XJhZmYGzz77LGKxGN566y1sbm5icHAQ\n8XgcR48elR4VxWIRZ8+eRTgcxv79+3Hu3DlUKhU8+OCD2NjYQHd3N6LRKP7+7/8e5XIZy8vLeOON\nN/DII4+IsKaFABhhFIvFIrnFFMgU5kyn1AykM40I6+jybSoxMpSGgAj/8LN0Ro85KFSv1/HjH/8Y\n//Vf/4Xnn39eFA0LpiqVCjY3Nw0ehLYiGITSGRasquWeUngwpY3vpXvU02LlvuucYVqmKysruOee\nezA7OysK3VzYpb2Wr5po1RJ2azab4lkQhuKeaxedylpbrvv378ePfvQjeL1efO1rXzNAIHa7Xdz3\nfD6Pnp4evPjii/D5fFhdXUWz2cT09DROnz4Nq9WKXbt2YXFxEV6vFzMzM7hw4QKGhobQ3d2NhYUF\nWCwWJJNJvPvuu/jbv/1bGQpz6NAh/OY3vzFk0PD5qGQ07ARAYEcKNxb7EXalQqCXqJWFzp4yB575\nvYY6uGbawOJzksc9Hg8eeeQR/OIXv8Bnn30mNTG6oRghtEAggLW1NVF4XG995vjZwHaqLj+TfM5r\nmRYaDofFYNPvwPflPOjR0VEcOnRIUn4JU/JvWq3WH0aaJK1IHk4uIAOWPAQUJDwM2m1kgMjr9SIY\nDEoOOQuB3G43du/ejVdffRU/+MEP8NOf/hRvvvmm9He/efMmjhw5grffflssxg8++ABut1uw5127\ndqFUKiGdTsNut0sR1L333otSqYSHH35YerHX6+1WA8xLJuaqUyPtdrv0xmFgh6mMtOrNKVgUlsTW\nyURm11RbvbTwAWPhDK/TEAivqdfrOHnyJO6++27xPngP3euEAprvxM+kIuHz06rjIQYg+fJ01bWC\n0pkOPEj8GYXJyMgIYrGYZC6xMyfvSThMZxh9lcTeQtrjYv8ZnVhAAaazSbTn2Wq1EAgE0N3dLROa\neA15aG1tDdVqe+BHMpnE+Pg4MpkM7HY7Zmdn8eGHHyIej6O3txfvvPMO+vr6JADNIC3hHgAy6axc\nLuOpp57C+++/j6NHjyKVSsl5A2AQxnq/qeT5XswA08kD2puhd95oNMR40LUuJObG6+wifr7GubUC\n0FAIeerAgQP4/PPPv6AMmBXGe2j+o3DlngIwnDX9M50VRZ4nb7L2xEw0xgjv9PX1GdKQNQxLI+ZO\nvdMdEfDs/8DIMt0nllADMFik2gpl2hThgfPnz2NsbAzHjx/H3NycYMldXe0e1c899xy+9a1vwW63\nY2ZmBj6fT/pwvPjii3C5XOjv70cmk8G3vvUtsS45zCAWiyGZTIrgv3LlCp599lk8+uijOHXqFMbH\nx/HKK6/A7/cjEAjA4/HA7/fLcxBWYbYKW/nabDbBvIF2pkIgEJCNJFZZqVQQi8XElWMxmM7Q0RF+\nwFjsAWz31ec1PCBkaNL8/DxKpRL+7M/+THrZWCztYiuuCVPe9Gdoyx3YTvUik+psAcZWeNC5Vyyy\n0gcZ2HZhAWDXrl2oVqtIJBIiHIhN0k1m8HYniApGQ3P06Jg0QAtPp1FqwQC09yubzeL48eMA2t0j\nOSWM99nc3EQqlZKGem63WwQ3+77PzMwgFArJ2EbOEt7c3MTKygpSqRRisZjc89FHH8Vrr72Gq1ev\nwul04q233sL3v/99Q1quVkba0+K5ofLOZrPwer3o7u4Ww8flcglv1Ot1GSup4yf8DGC7u6TOpCFf\nkKfpNXEdtczgPYD2AJUnnngCP/zhD9Hf3y/Ps7m5Cb/fL54kB5boBn+UNWZoRX+lbGJWULPZlAJC\nCnINr2hYrlarYWpqCl1dXUgkEoZspEajIUahhk2/LO2IgF9YWBC8loK7WCwaCoUAY6kyNTWZiIJg\nfn4en3zyCf75n/8Z0WgUtVoNuVxOXOJ4PA4AkvLn9XpRqVRw+PBh7N+/X8quea3FYkGxWBTLPZFI\nIBAIiOV88OBBnD59GteuXcO1a9fw5JNP4q677sLU1JQMZeCUHLql/Nuuri4pUCkUCuImahy20Wh3\nCiQkEwwGxYriBtP91cKTliCFpw6S6kCvtjy01U1aXFzEK6+8gu985zvw+/1iybO/DwWXZnZacdq6\no9VFJaDdb1o32sqnV8L7MmagsyasVqs0pCMvcG95Xz0o/KumDz74AJFIBDabTQLfxFELhYIE98x8\nzf8D27jyzZs38cknnyCVSqFeryOVSkl6n9/vx82bN6V2w+12Y3JyEvPz8yKsRkZG4HK5cOnSJTz+\n+OMIBALSWrhcLmNkZASBQECUcK1Wk54x5XIZzz77LH7xi19gfHwcJ06cED6l16bHPGoDg7zIWILF\nYpGOlTSSSqUSfD4fCoWCeBDaotc571wbCnAaQNrK1tdSLmgvgNTV1YXjx4/jzJkzUkxJgRkKhSSm\nQWMMMAbESfSQb6eUSHyXnp4eKYbkM/D3OusuEokgnU7LOWDwnAYBDaw7pR0R8FxAbgQ1W7PZFPyS\nP9cumS4cANqL/+CDD2J4eBhPPvmkuHsc18fh18wA4VBh5sa2Wi2sra1JYVE6ncbevXulhTFhE5vN\nhhs3bmBzcxPJZBIulwv33HMPotEoPv/8c+zevdtQgs78Xm4SD4JOJ3Q6nQZrmjg34Q9djEFMUAeb\neIB00JPCXruoPDC0wPj3WkADxqZgXEfek4eGngmJn8HP1e66FtaE3rSlrwU3ISIt3MkDvK/H4xHM\nl8UyOqOCf69nwn7VREVMZQfc3qXXa8MzoL/Sred13A9+f+3aNfm9LnQqlUoYHBxEsVhEsVjE9PS0\nzBvu7u7G9evXxdPZ2NhAb2+v5ILTGIjFYrh8+TKuXLkCt9uNCxcuYGlpyWAw8Dm1x6b/z+ekccFs\nEBofrJvQ62H2ZPjefF7Nk7yG/MQ8em356/iXpu7ubty4cQOrq6sGg9Fms0nih7a0ee7M8Aufke9O\neaJjYjyXNMo0tMT7bG1tIRAIiPKkXNDJC8ye4jrcCe2IgI9Go5I6plOjmBWhA2c6mEhhwM1tNBp4\n8803xQPQxTe9vb0Ch3ADaKn7/X6p+uRBmZqakpQ0zmQdGRnB17/+daRSKYyOjsoAkUQigTNnzmDv\n3r145513UCwWkUqlpKMdoRlmPFAYbW1tYXNz09C10e/3C1TFlgAul0uwSwZ79KCE2zEvmUsLDo0p\n8ncaNzdj8jy4zWYTv/nNb3DgwAHY7e2xZnQnzY28NNOR2XWGCO+ng2p8DsIKnBtqxqabzfbw8L6+\nPvh8PumI2Gy22yhsbm4inU7L4acyNyuvr4pKpRLy+byhEplrxL3XGRh6j7SFx7oLdhbloe/q6sLg\n4CAASDsKzhZlWh5nqcbjcYkZhcNhJJNJPPzww9jY2JCCnlOnTqHVaslgmJGRETidTmQyGVy9ehXf\n//73cfbsWaytrUk2CKFFHW/QBgefv7+/X2I2DKrymckHWlmYlSDXQsNZ/HwN+WmYUSsA/r3mRf7s\n+PHjOHXqlOSwN5tN6Y3P2IEW/lqo8uzouKGuqqVh6vF4JGOMtSPcZyqHTCaDYDCIaDQq60MlWq1W\npX0I15xNBe+EdsyCHxoako0jNRoNEZTEZnnoqSG1tmfwZHZ21oDtbW1tyeBtjuqyWq0ymZ7XVSoV\nBAIBpNNp/Pa3v4Xf70dvby+q1Sp6e3tx69YtfPrpp+jr60Oz2UQ8HkcoFJJDcf78eUSjUdy8eRPL\ny8tiLZGZNG7JQCnfg5W1zEJgQIq4Gxmf3+u8Y21FANuCVQfxgG2rXOPlHGhsxrk1fsl7lstlTE9P\nIxQKGSpQqbx4kMjo2qLXmLK25JnmyQq9QqGA9fV1uY+2blkgxjbEGtZjcZnD4RCsl9lDOyXgadUy\nVgFsCx3m5msBoa0+LdwsFosEOz/88EODAGPfGfIBoT8AEiTd3NwUgTAyMoIbN26IgrRa25WuABAM\nBpFOp5HP5zE2NoabN2/C4XDg4sWLOHLkCHw+H4aHhwWmY+W1w+FANps1CF8aTzRMLBaLFOtxvJ/2\nQHUChdly1wYIeZtrZM6x5/91AJd7oddb86PL5cIzzzwjNQG1Wk166fOsaUOSz6vvwWfT9ydvM6XV\nHG8i0fOqVqtSx8GCQsabKBcY29CG053Qjgh43QuFKUqs3iRGqNuLauwW2O7VXKvVsHfvXvzwhz+U\n1qBer1eCG2zgT1eou7s9+MJqtSKZTIricLlcmJ6elnz5dDqNpaUlsWqIl4VCIayvryMQCODixYsy\ncNtiseDixYviaVAYxuNxqQbkIaGA5cZzGAktHw25aDyTDKPdUzIjIQHNfHSRAchaMd9XHyIdA6Cn\nw7+5du0aLBaLeCTsGc815TPqZ9XFWFTG2gtrNpsySIEBdp2vTyqXy4bycd3cSuO+uplXvV6XPjw7\nQfQ6iZtyT5rNpgTUzbEJLdSBbaW8f/9+fPzxx7j77ruxurqKSCQie6hHAlqt7WKo8+fPS4xndHRU\n+hbZ7XYZ71csFhEMBtHX1yfnLJfLSRsBeiDHjh3DhQsXUK1W4fP58NRTTxk8JCoQxgT4/Iw11evt\n9h6cu6CLdYhxm2FCM0bNn9Eq1uvGa3XWDVOoSWbcXGPfPPOvv/668G0sFpP4Bj9Xf6Y2ujSEqD8P\ngLRkJgphfs9WqyXV4ixOq9frMmVLpyPToKN81IkTX5Z2rJskXTztxjLtjQJFR7J1FFunIF29ehVj\nY2NoNBrw+XzSZdDhcIilw7a8LCSgENDVZ+vr64jFYsjlcmKJMKjHod06tczpdOL+++9HOBzGwMAA\nxsfHpZBJ35d5wRTmfK9arYbNzU2xjhlspDAnE/FQ6Ki9TgOkO8ffkckJg+i4BX+vMUTtGut/QPuA\nLS0toVAoGCxrKiIKbd6Xh4xuOatxNcPyHXnozXAF78/PIH+QFzRP0HLTh5ye2U4Q30tPEeJ+8Blp\ntADbQkgrN37ViQZ8Zwps8lM6nZaWHbVaTc4PPcFCoYBkMgkA0kiPwVZizUy/ZQ+mWq2GgYEB3Lhx\nA11dXbh+/TpeeOEFaW7GgLHH4xHjhbAClZnNZoPH4xGFw/dmWjB57HZ4shkO0ZCW+XrKhNutofby\nqRR0GicA7NmzR3iSPYR0AFwHWs24ujnbj9Y343xcCyoLEo1FGiP8LAZWNWStDRW+050aLzsm4ImD\naxyM7jgtXr3APOzU6NwoYuputxs9PT1IJBISqGVGSm9vLw4fPoylpSWk02lxyQCIa8n+18RPu7u7\nsbKygnQ6jUgkgr179wrEY7O1p+q89tpr6O7uxtLSkvR3J8bI3s1kLvbrZgDM6XQiEAhIxg3Q7hfD\n62mZamXBd+b6UFGQyBS6iZdOx9PBK30wtCWpXdtWq4VCoYA9e/YYBI1WDnxOCnE+h8VikfQ7bYlY\nre0pPOx9Yw446n/0djR2SVeVLqzT6USr1TI08NIH6qsk1gvQE9JuPpUR+Zx8DGw37tJrl0qlUC6X\nMTExAY/Hg+XlZUSjUSmxt9vtiEQimJmZwSeffAKHwwGfzyfrs7KyIv2YYrEYXC6XzC7N5/OYmppC\nb28v7Pb2YPi1tTXp9nju3DnU63X86le/wsLCAj7++OMvYNHMq9eQntPphN/vRzAYRCaTEf5jXQph\nHcI1VDLautYWutn6pRfM9dSGhoZ89Dpqz5/3pCA/cuQIlpaWxKsgfMSmaMA2FENBruE0DRNxH6nM\nNIyk34deDgDxZMjXOtWXZ1h7eIR27oR2RMATO+QQA2JV+kBoocYDz4Uj3qbx4HK5jGQyiVAoZMCs\nxsfHEQgE8G//9m+YnZ1FNBoFAPn8RqMhrYQpKDweD2KxGLa2tnD9+nWpQqOVlM1m8fLLL6PRaODa\ntWuSczwzMyN4stvtBrDdq10LMrYhLRaL8m60fpkTTEtXr5kW/lwzs0WhMUttrfBwmCEgM/YOGNur\n0m0lczLNj+6nDkbpg6oPpn4GBgPNz6kVGIuYfD6fPAcFpm42R6FJhacP704RvRLzGhATByCKi++m\nrVq+ayqVgsfjwdbWFpLJJPx+v6wb+cVut+PXv/41nE4nFhYWBDLp6elBMpmUQTYUchxlt7S0hMXF\nRdmPlZUVFItFLC8vY3BwEEePHsWxY8eQSCQAtHn42rVr0juKhUsUYhRs5oIe7kupVJJOrlpw6X3V\nikILTq34zDxNvtNwrxa82moHjHAk3+vnP/+5Yf+4JvqM8Of6K/ea54rrrnsy0QMnEZ5h2xStOHgP\nXdDGNdYeyR9EJSsDNlrr0t2ihtZBBR1c1Zq11WrJpBQOFrBardKTnQfos88+w+HDh3H+/HmpIGVg\nk5Y1Ld1bt25JT4rR0VH09/djfn5eAlO5XA7T09MYGhrC8vIyVlZW0NXVhcOHD6NSqeChhx6Cz+dD\nLpeTdEvij7ovjc48AbZ75NPi5bvqdeEzauyP19D60Aylc4upFDWGZ3ZZAeOAFVrCmUwGFsv2wAQq\nFo1z8pBy32jd83q+m1YkfA/+DWMFOtimA5F8dgZTua7A9kFkrGAniAeT+8B3oELi+gDGUYaAMV0S\naCuE9fV1SRIAIAWBtVp7pOSFCxdklmhfXx+y2azAhLFYTIQv0LYud/3/ldnE5a3Wdr8bwocOh0Mm\nQTmdTuzfvx/T09OwWtuzCPL5PGq1GrxeL3p6erC2tiYN0hqNhmGuLwUS95Wpy1RCZquafKhlghbg\n5Eld3akxeiYhkHfMkBfXXH8m+W1jY0Oy+qgUNOZOPiW8qYPAgLF6Vsed9Gdyr3WvKgDCqzReNaxE\nCExDrX8QEA0AObD8R4FAzM6seZkjzgAqNRzTDtnnhNexl8Ply5cxOTkp+b6lUkmEOuEaANJzpbe3\nF/F4HKVSCUNDQxgdHcXU1BQWFxexsLCAVCoFh8OB3t5e7NmzRyydH/3oR/jJT36Cf//3f8eJEyfE\nCqM1SkHFPjpkZv5cB2WINWsm0V6Mtpq5PhQqtCDJiNoistvt4jHx3lrg6AOgBU88HjekqgHb1pNW\nWNwnDZXw8GocVQtx/TuN4RLTpItPjF+75eb5soR1dsqCp2uvew4BEM+M76jXxoz50sW3WNrzb1kc\nxHYFhDQTiQQOHDggrTEorMvlMhYWFsRKZBAbgGTLcFKQ0+mUytdDhw7JHOLV1VWUy2X8z//8DxqN\nBq5evYrZ2Vlsbm7i3nvvRbFYNLSupfXKDBueKb6b1+sVT6LV2u55r+E48rgWmlrRa2/vdrALn4Pf\nmy19fZ32WB944AG8+eabWF9fNygDfr6Gpni2tHdrhjdZdXo7T4TnjrEMi6VdkazTS3nOyNtdXV2i\n4GmQ3gntiIBnqb12VVnEwlx2s7tPxuCCcgPYjZEdJWkhUEGMjo5KX2gqBY/Hg1QqBZfLJYfDbm/P\nrqzVati1axesVisWFxdlAHalUsHk5CQcDgfOnj2LYrGIe+65R3rGd3V14ZlnnsHBgwdx7733SqHT\nO++8g62tLQkq68kutDjIEAzO0drWhRLEXc1WinbtyRwABPOmJaTvRatOY8X8XgeFKHi5JnqmJJUN\nr9durRnP119ZkEMLnM9utpR0YIw4O9+pXq9LH/JyuSxNnaho7jTT4PdFVIAMxgPbylknCWgY4XZ/\nz7VgxhOhGu0FcvB2MBgE0F5bThLjcG6dM5/L5bBv3z5cuXIFBw8exJEjR1AsFkW4s4vk5OQkZmZm\n8O6776JYLMJut2Pfvn2Ym5tDV1cXVlZW4PF4ZA5suVwWw4XPreNC9DpisZjwksa1qdTNgX4KYA27\ncM00j+s4E/DF9MX/l9fIv5+dnRULnvuj7wdsp7oC24Vc5GkaHhT2PKOUNdx/Db/Qk6EcpPfO88Cs\nJs6N0EpNG2FfhnZEwLOpPheLwz/0Apt7LtxO0OtDrZt60UJku+BsNispk1ZrO0VyYGBAlANTHZkB\nQbxybGwM58+fRyQSwfDwsByamzdv4vPPP0e5XDa4xdlsVjwMRsj7+vrEdWevHVrvGq+kZteDTshE\nDG4yEKOhLACGAKdmeo3Pkylp5fO+mmF4iLS7zN/39fXJ55nT4wBI7IDPrANiOpOHXhoZWAt/fZD5\njOzVQevIarXKmEBzxooO0u8EaYuRnogWBDRizK4/SQsOAMhms9KZkUKzVquhv79fFBk9RG3x0hst\nFAqGqm2v14ulpSXEYjG89957OHjwIHK5HLq6uuDxeJDJZKRj6tbWFqLRqFSBAxDFzLPk8/lkv3Tx\nHr/yuYk3m/ntdu+uLXryj8bONY9pT9YcuNb4NveEe6TljNPpxMTEhKyn2bMEYPg578Vn4N8xvZFT\n6XRsQgeC9fNQ4NtsNqnrILTMe2qPgYrhTmjHIBrN3FqQmDFmwNhEi1COFhwul0sKBXp6etDb24tI\nJILf/e53htYA1WoVLpdLCqDYEGxtbQ3BYFByiC9cuCBu8LPPPouXXnoJN2/eFKhidHQUw8PDuHTp\nEkZHR3Hw4EE5ZNwA3V5YW8KEh6jpybyEcfx+v2wqtbfeYN2FUQdauW5aSGgm1/idLpjiP7Og5+fx\nXqzy4+eyXw8taL1/+iBwv0g2mw3RaNQQYONe0jqnx0FLjIqv2WzKKEYGLFmGT8Fixne/SmJmFt+D\nXg2DY+yrrq1Us6Dn7yKRCPx+P/x+v/QAYgHN9evXkcvl4HK50NPTA7fbLWPqOK2sXC4jlUrBbrdj\nfX0doVAIL730EsLhMOLxOKxWK/77v/8bY2Njwk9bW1tIJBLo7u7GN7/5TczOzmJhYUE8bLvdLp4v\n04XpiXIfqXjp3WWzWUxOTkr6MQCDR6mhGg3H6KC5vlZb/Pr/JKZtcl21IWKOe5Dvjh07JmM8dUEW\nvWam/uoAPnmc7UhoXefzeayvr8ve8DryBGMxhB8Zi2w0GohEIrBYLIYeVfpss93JndCOQTRcLD0S\niwzCww8YW6+SNDadyWTQaDRkQG21WsXq6ioSiQQGBgbk3j6fD93d3Ugmk8KQa2tryGQyqNVqWFtb\nk+KHoaEhSZWsVCr43ve+h6mpKbhcLty8eRORSEQqMU+ePIkf/OAHwpBdXdstSHUut2ZYjsSjNZ7P\n5wUvNWPsZuxbB5rpGWgLHthmXDIorScKG3oCmvSB0BkypJWVFQQCAayvr0twk7n8xMlzuZxgvrRW\nacVRmNEy5+xMKj5tQTWb22MNWRBF61wHs7TLTmVCKGwniHnk3H8qaA0fcN253maLVgtKm80m/Fmr\n1cTjoYHDKt6FhQXpQhgMBrG+vi7dSe12O7xeL2KxGPbt24dms4mRkREMDAwgl8vhzJkzuHbtGmw2\nGw4dOiTre+XKFdy4cUMaA9brdfF0uWeMe2lhq+ExDU3o9ti3E7yauE4UcLq9ho5NaaNGW9Ua8uH5\no4WvLXPKIJ/Ph3Pnzsk+sRJXP5vZque12irnZ9Aq13As944xMMJs1Wp7TCY9UXplPF860JrP5w1n\n8svQjgh4MofV2s6JZkYLXRK9oVwwbe1oKIE/C4VCSKfT6OnpkRmdLpdLsKu1tTUAEJyy2Wyn/9ls\nNkQiERGWLB3u7u5GPp/HysoKTp48iUajPUaPAxZYzRcMBjExMSGwETtPMjBCxmfxFrCNtfIwEYMj\n05hTQHUOrtlNBYxYuYZW+De0PrR1r3F2fq9hFB381BijDoCy7w6tNgBiBenqUlo5rVbLUA5O15/P\nSWvfjDfyudlXaHNzUywbPTmIz/p/6br3+yCdRkr4iIJHdwXUHg7XVhswVqtVqrJpABCvpadKAZlM\nJgX/djqdUlPBe/KZCoUCAoEAwuEwEokEbDYb9u3bh9HRUeERwi9er1eeNRQKAYDk2HO/qXDZApgC\nCdgWfhxCToVH/tKBeu2dm4POfI/beWc6dmWGC/k78pD2kjTUC2wXKjEwTWKsSsMo2uOkRa0hTz4/\nEz3Mz8izyXdivI0ZSDrDj0YZIUeeuz+IICsXmNY6tRYZRGNnZreKh5+bzah9pVIRgZ1Op2WR6B4z\nhYv3YwtPZikQ3xoaGkIoFBLLZWtrC3/xF38hU6gefPBB9Pb2Ynp6GufPn8etW7ekvFmP3tMbBEDw\nY33QgXahVSQSQaPREPxN95/h+2oYSweNtFXBddIWBdeX1/Ir14emLFE8AAAWI0lEQVQWCAUPrRD9\nGWTQbDaL/v5+RCIRxGIxKaDhfFlaetVqFblcDvl8Hul0GplMRhqWsVTe7XaLtU2vgX9La5HBRf4d\nB7GYcVceRio4/exfNVGoZjIZOYxc75WVlS94opqv+bNms4l8Pi+KixZeuVwWt58VrY1GA9FoVIpm\nCoWCCN18Pi8B0bm5ObhcLnzwwQdwOp3o6+tDq9XC22+/LbntzWZTGl8x5jIzM4NCoYBQKIRCoSAe\nBIWYnmlAxU8sen5+HrOzs1JMxX3WEAuwrYwoUM1CWEOI2qomz5qVI2CskNcwJ9dYew0UxEz/5PWM\nOdBD1YYIoUP+A2CAX2ioMEGDSgJoT5lih00WWdps7RkAOhBL2aYz3/R6fyl+vKOrf0/EYCcLnXSU\nmgtH4c+N4DVae3Z1bbc84PVM1WIf7lwuJ8zFuYhAezO44LTGmdp48+ZNGei8tbWFn/3sZ9i9ezeO\nHj2KdDqNq1evwmq1IhaLYXZ2FlarVYIrmUzGAHPwMNIS54bXajXcunUL8XhcGjoxG0QrB7OLD2xn\nmeiADdcT2Bb62uuh1a+tIHpRFPTaLdUHjF9Z6KUFK9sqDwwMoL+/H+FwWKx1QmecZcv9zufzonR0\nkZsO1BG6Y1YIhTsPk8Za+fxct50S8LqlsVkIMQbEFEoKEQ0vae80lUoBgGSW0TOiJzk4OChwIw0K\nenE6vuJ2u+H3+2G322XkYTweRyKRQCwWw3333Yf5+XlRBGtra/jZz36Gzc1N9PX1SdppKpUSPuQe\nkL8sFouhR3+z2cTCwgLuvvtulMtllEolySyil66hHL4/hTsAg9WuY0EaCtXXawiFPM4KYS3Mdfoj\nPxtoj0hkxa1O+uCztlotw4Ai3oftIUZHRwG0A+NsykbDjLAl351efq1WQygUEs+L3pZ+Jxp5/J0Z\nWv3faMcweJ/PJ0O2Nb5M7UWc/HaCiT9rNBoYGBhAsViUcXdkMga4mEOsAyGtVksYr1wuIxaLIZPJ\nIJlMIhaLiRXz/vvvC+Tz/vvvIx6Po9lsygGhgKFAYg8OZg1oxqJ1qYM2pVIJY2NjwjDmrBJzvjTf\njcKYmDYDnzw0tIR1MJruJX/G63SgSv+9/mw+U71eFwiLngLhNDI/YatYLIZQKCRZIA6HA8FgEMVi\n8Qv9dSgg+Kx+v1/2U7dsoILUwpDrpN9lp4jZVAC+MFWKrrsZXiNvmy1aejgcjkHlxnVbXV2VrCwN\ny1DAt1rtIsBEIoFyuSyDQJrNdvB+fHxcYhx/9Ed/JLNZp6en4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"text": [""]}], "input": ["imageplot(v[:,:,0], 'd/dx', (1,2,1))\n", "imageplot(v[:,:,1], 'd/dy', (1,2,2))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["One can display its magnitude $\\norm{(\\nabla x)_i}$, which is large near edges."]}, {"prompt_number": 37, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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VC2gWQKsglbBUkoqLoZ672WyiXq87jgMG8aR6NhJ9ek9Ufnohwn8ADguv/RJ4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"text": [""]}], "input": ["imageplot(sqrt(sum(v * v,axis=2)))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["The divergence operator maps vector field to images. \n", "For continuous vector fields \\(v(s) \\in \\RR^2\\), it is defined as\n", "$$\\text{div}(v)(s) = \\pd{v_1(s)}{s_1} + \\pd{v_2(s)}{s_2} \\in \\RR.$$\n", "(note that here, the variable \\(s\\) denotes the 2-D spacial position).\n", "It is minus the adjoint of the gadient, i.e. $\\text{div} = - \\nabla^*$.\n", "\n", "It is discretized, for $v=(v^1,v^2)$ as\n", "$$\\text{div}(v)_i = v^1_{i_1+1,i_2} - v^1_{i_1,i_2} + v^2_{i_1,i_2+1} - v^2_{i_1,i_2} .$$"]}, {"prompt_number": 38, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["div = lambda x : x[r_[1:len(x),0],:,0] - x[:,:,0] + x[:,r_[1:len(x),0],1] - x[:,:,1]"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["The Laplacian operatore is defined as $\\Delta=\\text{div} \\circ \\nabla = -\\nabla^* \\circ \\nabla$.\n", "It is thus a negative symmetric operator."]}, {"prompt_number": 39, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["delta = lambda x : div(grad(x))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display $\\Delta x_0$."]}, {"prompt_number": 40, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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88GB9BzyFl5D7LdOWnc4Tz5IWiGn/vXS7fCfCtzelecCQ9FOJTVoUXy2Xv14E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\nXZqdnVVlZaUaGxs1Pj5uJN/IyIjKy8tNQ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h49au3c/vNAk9gRcm/IW76336CVlZsTp0FZ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"text": [""]}], "input": ["imageplot(delta(x0))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Check that the relation $\\norm{\\nabla x} = - \\dotp{\\Delta x}{x}.$"]}, {"prompt_number": 41, "metadata": {}, "cell_type": "code", "outputs": [{"output_type": "stream", "stream": "stdout", "text": ["Should be 0:\n", " 6.18456397206e-11\n"]}], "input": ["print('Should be 0:\\n', (grad(x0) * grad(x0)).sum() + (delta(x0) * x0).sum() )"], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Gradient Descent in Image Processing"]}, {"metadata": {}, "cell_type": "markdown", "source": ["We consider now the problem of denoising an image $y \\in \\RR^d$ where $d = n \\times n$ is the number of pixels ($n$ being the number of rows/columns in the image)."]}, {"metadata": {}, "cell_type": "markdown", "source": ["Add noise to the original image, to simulate a noisy image."]}, {"prompt_number": 42, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["sigma = 0.1\n", "y = x0 + sigma * randn(n,n)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the noisy image $y$."]}, {"prompt_number": 43, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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0GqWvr4/nz5/j9XoFFZjP53n//ffFDVEqlaysrPDxxx9jt9vF1NBqtXj8+DHX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"text": [""]}], "input": ["imageplot(clamp(y))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Denoising is obtained by minimizing the following functional\n", "$$\\umin{x \\in \\RR^d} f(x) = \\frac{1}{2} \\norm{y-x}^2 + \\la J_\\epsilon(x)$$\n", "where $J_\\epsilon(x)$ is a smoothed total variation of the image.\n", "$$J_\\epsilon(x) = \\sum_i \\norm{ (G x)_i }_{\\epsilon}$$\n", "where $(Gx)_i \\in \\RR^2$ is an approximation of the gradient of $x$ at pixel $i$ and for $u \\in \\RR^2$, we use the following smoothing of the $L^2$ norm in $\\RR^2$\n", "$$\\norm{u}_\\epsilon = \\sqrt{ \\epsilon^2 + \\norm{u}^2 },$$\n", "for a small value of $\\epsilon>0$.\n", "\n", "The gradient of the functional read\n", "$$\\nabla f(x) = x-y + \\lambda \\nabla J_\\epsilon(x)$$\n", "where the gradient of the smoothed TV norm is\n", "$$\\nabla J_\\epsilon(x)_i = G^*( u ) \\qwhereq u_i = \\frac{ (G x)_i }{\\norm{ (G x)_i }_\\epsilon} $$\n", "where $G^*$ is the adjoint operator of $G$ which corresponds to minus a discretized divergence"]}, {"metadata": {}, "cell_type": "markdown", "source": ["Value for $\\lambda$."]}, {"prompt_number": 44, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["la = 0.3 / 5"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Value for $\\epsilon$."]}, {"prompt_number": 45, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["epsilon = 1e-3"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["TV norm."]}, {"prompt_number": 46, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["norm_eps = lambda u : sqrt(eps**2 + sum(u * u, axis=2))\n", "J = lambda x : sum(sum(norm_eps(grad(x))))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Function $f$ to minimize."]}, {"prompt_number": 47, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["f = lambda x : 1/2 * norm(x-y)**2 + la * J(x)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Gradient of $J_\\epsilon$. Note that |div| implement $-G^*$."]}, {"prompt_number": 48, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["normalize_vec = lambda u : u / tile(norm_eps(u)[...,newaxis], (1, 1, 2))\n", "gradTV = lambda x : - divergence(normalize_vec(grad(x)))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Gradient of the functional."]}, {"prompt_number": 49, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["Gradf = lambda x : x - y + la * gradTV(x)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["The step size should satisfy\n", "$$0 < \\tau_k < \\frac{2}{ 1 + 4 \\lambda / \\epsilon }.$$\n", "Here we use a slightly larger step size, which still work in practice."]}, {"prompt_number": 50, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["tau = 1.8/( 1 + la*8/epsilon )\n", "tau = tau*4"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["_Exercice 3:_\n", "Implement the gradient descent. Monitor the decay of $f$ through the iterations."]}, {"prompt_number": 51, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["## Insert your code here."], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the resulting denoised image."]}, {"prompt_number": 52, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["#imageplot(clamp(x))"], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Constrained Optimization Using Projected Gradient Descent"]}, {"metadata": {}, "cell_type": "markdown", "source": ["We consider a linear imaging operator $\\Phi : x \\mapsto \\Phi(x)$ that maps high resolution images to low dimensional observations.\n", "Here we consider a pixel masking operator, that is diagonal over the spacial domain."]}, {"metadata": {}, "cell_type": "markdown", "source": ["To emphasis the effect of the TV functional, we use a simple geometric image."]}, {"prompt_number": 53, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["n = 64\n", "radius = 0.6\n", "t = linspace(-1,1,n)\n", "[Y,X] = meshgrid(t,t)\n", "x0 = (maximum( abs(X),abs(Y) ) < radius) * 1.0"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["We consider here the inpainting problem.\n", "This simply corresponds to a masking operator.\n", "Here we remove the central part of the image."]}, {"prompt_number": 54, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["a = 4\n", "Lambda = ones((n,n))\n", "Lambda[n/2-a:n/2+a,:] = 0"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Masking operator $\\Phi$.\n", "Note that it is symmetric, i.e. $\\Phi^*=\\Phi$."]}, {"prompt_number": 55, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["Phi = lambda x : x * Lambda\n", "PhiS = Phi "], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Noiseless observations $y=\\Phi x_0$."]}, {"prompt_number": 56, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["y = Phi(x0)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display."]}, {"prompt_number": 57, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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"text": [""]}], "input": ["imageplot(x0, 'Original', (1,2,1))\n", "imageplot(y, 'Damaged', (1,2,2))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["We want to solve the noiseless inverse problem $y=\\Phi f$ using a total variation regularization:\n", "$$\\umin{ y=\\Phi x } J_\\epsilon(x).$$\n", "We use the following projected gradient descent\n", "$$x^{(k+1)} = \\text{Proj}_{\\Hh}( x^{(k)} - \\tau_k \\nabla J_{\\epsilon}(x^{(k)}) )$$\n", "where $\\text{Proj}_{\\Hh}$ is the orthogonal projection on the set of linear constraint $\\Phi x = y$, and is easy to compute for inpainting"]}, {"prompt_number": 58, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["ProjH = lambda x : x + PhiS( y - Phi(x) )"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["_Exercice 4:_\n", "Display the evolution of the inpainting process."]}, {"prompt_number": 59, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["## Insert your code here."], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["_Exercice 5:_\n", "Try with several values of $\\epsilon$."]}, {"prompt_number": 60, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["## Insert your code here."], "collapsed": false, "language": "python"}]}], "nbformat_minor": 0, "nbformat": 3}