{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook we show the usage of the package `ApApproximation.jl`, based on the results exposed in the paper _Generalized Fourier-Bessel operator and almost-periodic interpolation and approximation_ by J.-P. Gauthier and D. Prandi." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", "
Plotly javascript loaded.
\n", "To load again call
init_notebook(true)\n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "push!(LOAD_PATH, \"./../src/\")\n", "\n", "using Images, TestImages\n", "using ApApproximation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the following image for the tests." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "img = testimage(\"lena_gray_256\") |> x->convert(Array{Float64,2}, data(x))\n", "convert(Image, img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we will deal with polar representations, we will actually only consider the central circle." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circle(i,j) = (i-size(img,1)/2)^2 + (j-size(img,1)/2)^2 <= (min(size(img)...)/2)^2*.95\n", "global C = eltype(img)[circle(i,j) for i in 1:size(img,1), j in 1:size(img,2)]\n", "img = C.*img + (1-C)\n", "\n", "convert(Image, img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Almost-periodic interpolation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sets of spatial and frequency samples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fix $Q,N\\in\\mathbb N$. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(20,15)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q, N = 20, 15" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By Corollary 4, the first step is to define the sets of spatial samples $E$ and frequencies $F$, which will be invariant under rotations of $2\\pi/N$ and have the same number of elements. Namely, in the notation of the paper,\n", "\n", "$$\n", "E = \\{ R_{\\frac{2\\pi m}M}\\varrho_k \\mid \\{\\varrho_k\\}_{k=0}^{Q-1}\\subset\\mathcal S_N,\\,m=0,\\ldots,N-1\\}, \\quad\n", "F = \\{ R_{\\frac{2\\pi m}M}\\Lambda_k \\mid \\{\\Lambda_k\\}_{k=0}^{Q-1}\\subset\\mathcal S_N,\\,m=0,\\ldots,N-1\\}\n", "$$\n", "\n", "The frequencies $\\Lambda$ are dealt internally via the `Frequency` type. This type essentially stores a triple $(\\lambda,n,\\omega)$ such that \n", "$$\n", " \\Lambda = \\lambda e^{i\\left(\\omega + \\frac{2\\pi}N n \\right)}, \\qquad \\lambda>0, \\, n\\in\\{0,\\ldots,N-1\\},\\, \\omega\\in [0,2\\pi/N).\n", "$$\n", "The same is true for the spatial samples $\\varrho$. Obviously, $n=0$ for the elements of $\\{\\Lambda_k\\}_{k=0}^{Q-1}$ and $\\{\\varrho_k\\}_{k=0}^{Q-1}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A convenient way to define the subsets $\\{\\varrho_k\\}_{k=0}^{Q-1}$ and $\\{\\Lambda_k\\}_{k=0}^{Q-1}$ of $\\mathcal S_N$ is through a vector of tuples $\\{(n_i,R_i)\\}_i$, where:\n", "\n", "- $R_i\\subset \\mathbb R_+$ are discrete sets;\n", "- $n_i\\in \\mathbb N$.\n", "\n", "Then,\n", "\n", "$$\n", " \\{\\Lambda_k\\}_{k=0}^{Q-1} = \\bigcup_i \\left\\{ \\lambda\\exp\\left( \\frac{2\\pi}N \\frac{m}{n_i} \\right) \\mid \\lambda\\in R_i, m=0,\\ldots, n_i-1 \\right\\},\n", "$$\n", "and similarly for $\\{\\varrho_k\\}_{k=0}^{Q-1}$. In particular $\\sum_i n_i\\#(R_i) = Q$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Does v agree with Q? true\n" ] } ], "source": [ "def = Q/2\n", "\n", "v = [ (1, 1:1.:def/2),\n", " (3, def/2+1:1.:def)\n", " ];\n", "\n", "Qv = sum([v[i][1]*length(v[i][2]) for i in 1:length(v)])\n", "\n", "println(\"Does v agree with Q? $(Qv == Q)\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Size of the set E: (Q,N) = (20,15)\n" ] } ], "source": [ "E = BispectralSet(N, v);\n", "\n", "println(\"Size of the set E: (Q,N) = $(size(E))\")\n", "\n", "# plot(E)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following function will plot the corresponding frequencies." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly, with a so little number of points ($20\\times 15 = 300$ w.r.t. the resolution of the image, $256\\times256 = 65\\,536$) the approximation is quite bad." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Since the image is fixed we conveniently define the interpolation functions \n", "# to take into account the size of `img`.\n", "ApApproximation.bispectral2cart(f; clamped = true) = bispectral2cart(f, size(img)...; clamped = clamped)\n", "\n", "# approximation of the set E\n", "f1 = cartesian2bispectral(img, E); \n", "\n", "# interpolation on a cartesian grid\n", "img2 = pol2cart(bispectral2pol(f1), 256, 256)\n", "\n", "convert(Image, bispectral2cart(f1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defining a bigger frequency set ($Q = 340$, $N=64$, so that $Q\\times N = 21\\,760$) however, allows for a good interpolation." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Does v agree with Q? true\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q, N = 340, 64\n", "\n", "max_ϱ = Q/4\n", "step_ϱ = 1.\n", "\n", "v = [ (4, 1:step_ϱ:max_ϱ) ];\n", "\n", "Qv = sum([v[i][1]*length(v[i][2]) for i in 1:length(v)])\n", "\n", "println(\"Does v agree with Q? $(Qv == Q)\")\n", "\n", "E = BispectralSet(N, v);\n", "\n", "# approximation of the set E\n", "f = cartesian2bispectral(img, E); \n", "\n", "convert(Image, bispectral2cart(f))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Almost periodic interpolation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start by considering the AP interpolation problem. For simplicity, we choose the set of frequencies $F = E$.\n", "\n", "We then compute the the matrix operator $\\mathcal J:\\mathbb C^{Q}\\otimes \\mathbb C^N \\to \\mathbb C^{Q}\\otimes \\mathbb C^N$:\n", "$$\n", "\t\\mathcal J = \\bigoplus_{n=0}^{N-1} \\mathcal J_n ,\n", "\t\\qquad\n", "\t(\\mathcal J_{\\hat n})_{j,k} = J_{\\hat n}(\\lambda_k e^{i\\omega_k}, \\rho_j e^{i\\alpha_j}) \\quad \\text{for } 0\\le j\\le Q-1,\\, 0\\le k\\le Q-1.\n", "$$\n", "\n", "Being block-diagonal, we only store the matrices $\\mathcal J_n$ that compose $\\mathcal J$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 3.067850 seconds (15.72 M allocations: 772.104 MB, 9.39% gc time)\n", "Dimension of J is (N,Q,Q): true\n" ] } ], "source": [ "BesselMatrix(E) ## Dry run for compilation\n", "@time J = BesselMatrix(E)\n", "\n", "println(\"Dimension of J is (N,Q,Q): $(size(J.matrix)==(N,Q,Q))\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the AP interpolation of the test image is obtained as follows. This is a vector $a_f$ in $\\mathbb C^Q\\otimes\\mathbb C^N$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0.486073 seconds (57.13 k allocations: 232.091 MB, 4.51% gc time)\n", "The size of af is (Q,N): true\n", "\n", "Norm: 1.539326506653e10\n", "\n", "The norm of the AP interpolation is 1.9160285718e8 time bigger than that of the image\n" ] } ], "source": [ "ap(f, J) ## Dry run for compilation\n", "@time af = ap(f, J);\n", "\n", "println(\"The size of af is (Q,N): $(size(af)==(Q,N))\")\n", "\n", "println()\n", "println(\"Norm: $(norm(vec(af.f),2) |> x->round(x,2))\")\n", "println()\n", "\n", "diff = norm(vec(af.f))/norm(vec(f.f)) |> x->round(x,2) #|> log10 |> x->round(x,1)\n", "# println(\"L^2 norm of the resulting AP approximation $(round(Int,norm(vec(af.f),2)/norm(f.f,2)*100))% of the norm of the image\")\n", "println(\"The norm of the AP interpolation is $diff time bigger than that of the image\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now visualize the magnitude of `af` by plotting (in logarithmic scale) the mean magnitude on the slices of the bispectral set." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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iCpMd8wIGoS6D5fmAVl2hzXXbvse+y9kVA5ESz6vKThcf/vCHh3EI+XldYTf9IQqhu/H4nYKn8ZwDON4YeBU4fdafyGKKANrx0IsHoZCdiAqJIFFRwkJPJPSAGEUH7k+kAD63hT7pjeuQg/7MR71EH9ZGmuJnycaHANQtpE2xA3Ot9uI4cnv729++HbiNIW1zrfd6LMfrMdftjbLXpgB1MaP49li+O18XLe1zzPcsJjBGgIiBydmJkJZnUdUWpvM69ruFsDyXdgxb+ClNCBh5fKGw2oEQ3lN63hm/ajpPyLh5fj/eEcaO7QRkXGPvgGpsHtUFVhGJe8Sz+oygPH8vJydyZ165/0Xe8F0ODlTmDYje6cU8FRTNC7kgNPm/tGReAVqkiZDoVISDaADV7oadEN46kYL7Iir6QLIIAbAjdkWQM0Klc20RqF0OdZnURszPDoOxu0bqRtq1T785Pst20sY1aVePpa+94X2vJIBW6flO4VmIeY+pHKsge3zXj3SAR57uL+m0wlN6Zt1TbgDmz2J5Io7hAbvzwnjGJ1wGeuMAPuDyAnLPDKh+87I8G4KQuzuvMHbDG95wNNw1NuBxP0VIj9Iap98QtIJU/I4fYHn2Wbl7e2397sEgoL3ABS4wgDHnAM+OA6KQyij6GTuCGRPjtoOCYOgIYEUbPDp90pOaizmaG90hQc8ZpMCHuLIuzqtPKJx6kAkZIQspUysiF3WRPKsxr20st11sr73/nvx9r0sBsihRdvudspd7THWa1+BlhOIxsnbhtGPIPKmn0TZs2DA0kccn/+TV9JP9bXkxz8YzMeh21wBZEKQjRAYkRGAcXjyisJYB+yFNUhMP4rSPzw4dHfqPVMV4kYzwWGQATMgoIhwHQKQUASq5tp/9uvYd73hHpwYC5Lw0kBOg8yI8sF/uEVGISEfkgYQQhDmKUJAJwqNfYFdUJCKeKtISuTzASwfo0poiHTqKPs2ffkQqPDwi1V7EUAVhAj89Il62IxrxJ8z063u1p5Ucc02uq/fe0z/vVREABZO6WPW7z1Ntajs/KnnWs57V3ete9+pUj+eR173udUO4Diw8FzADOmACrRBXmMxbMeCPfOQjwx69bTLebpYgFT8iAjaFQh7SfUQXQm3gYsRTAuD+ypD0RSoBrMYmJVGMlI7YhlO7QCrSFcDUXjrjemL8AMULAy8ASnWAihd1jWjCtiIQziNPeMIThlTDDgei1L+IxXxnzSkkAsxqMMCLPGxB6oNO9aeGYs7mRVJANG/p2VISezEvERzJMZ9XYmu5xvV7uuw1BJBFiXKnvlN422bsGE/ikVoAYDRTwnCBmfA4MbxN/Y9UbAnydDyh4pqtO+ACPlXs9gczY/cAwite8YqDl+VhGe1tb3vbbR517Jr73//+A6BFFXkiz7joRDgNDMaqP2E6oBhnCAHQEQwAApDoQMoiLzdugPMHQIidCBGPlEeaY96KdiIB/SAX8/drxrHwO+P3p8Ve9rKXDdHNQX0uT1fm7Z5LCdDf6la3GghAW2tmbuaPKIjvXuaFwLRRu0DAUyJisG4iEH/pmMxjO2Pt2uvyfeh0D/5njyeAAH0epc9q41z64rEZoMq0Lb0p8RNVoSVwMTaekHeVx8pTRQEKekDGa9t/losCfg212/6B3taU8SALr/yNPUZcQ2LRinBe3/JeqYJ8XFQgYpDje/AFAImiGsIyJmMwloTt7TiW+i5FUG33UFB+fwBYjhmn6juieNKTnjTk4nYLAFDq4Jz0R+htHAgGYYqkRDzGFO99l7vcZeYzFcZprRAIUCtCIj7EbTy+uwcdqnWI0EQsiovWz8+Pp0RNRzr3nOc8Z3iSULsK3thMjuV7bZdjs9pM3X93H9+jCSCKXa6yc10WxPU5JkeV4zLSqYKV9vJwxhZhcAzQO8MVHiMGoTIQCkMZoJ+wMv4pkXbYPvSMAcOLMGQeFsB5bEBWfHMf4TYPzlPLW/u/95fLJt8RgrEy7LbuMHlRc4KOFEZ5eM/pLyXGDqiIU90ACdG7kJ1O1Efk6yIFBLgSkcrw+h7KskbW2DtvLl0Qyvd/w3BYG/3Tq3vO2lK1HuoS0p2Fvp5Bxmwnx2JLtV2OzWozdLyH/bNXFAFbpU59p9tZC2FPmpEKQT2kMiWMqYJfO+BndDwLAuEB5dTyfbkpA49XbPv1mwFFMOHmgx70oB0ALL/1RzCE3moA7qFfwN3Y/1GMFP7afqe+G6s9ceNTGWf8ni+QFvgsbBexuJd0QWpgbNIXukUc6gLmxaurQ8wjCNALaSBJ9RURgn6AVBSADJwzBlt0rdCBsYgkxsS4RUyId0u/jYpkkC8xH1GLJzcf8pCHDMdmpXdDg/4felagREzmb7ei2pFjvnv57EXaY2Pfh4Z78D97bARAmaQqe9Z356auAWZ5NWNhXLzwLJH3A0OMR6j93Oc+d/A8CmGMk/cHHkYoNeB5WqAqKjFE4Xr96Wq9t5ya0SsmCvWlGnJrqYS8109ulxJekQcDDsVA+/vGJNVAPDy58Up7eDl64BWNXxuf5c30R9+uJeYp/3edKEBUYryIDsikJUuJKMY17iOaEd3YnUAyHsRZXFzsFg71umN9uc44I3L1j33sY8NXgKczZKUdYkae0gGPbis2tkQiDUGMUhNzIojdY8zWXFSGxMiUPcUm52nT9jF0vAf9s0cSQKu0eb/TaxYn1/gzVcAJqMJBn4XpEQUtOWmtGPOejEKOTwDZFhQDYVCeMFO8YsxCXd7sJje5ybbHgaUExsGzjoWeDFgKgFjk1hs2bBgMmIcUxjJsoFApb0WRj8ezpSdyUJEHJg8jAQGvqpCHqBCCcSAV4KATc3LeroVxyJE9eagd4rDlpo2X++jPu/5EOQhEUc53Ox4pELqeB23nqy0CBH5gR8Z0KxUzT9dLDaQ5UymZtkjIHEQ3SECV3x9ANW+ANm7ERhdqIEhDPQDIefjUSOiTXtUNbEMiWnqwjWtOoh36sMYkdmR+9bvP7bF5vw8d7SH/7BiD7eaBTSl8KeUadtvGFhTvwCC883T5gY/2CnpCxuzFO0a0BXh5tz6FrSrWPAPvHDFWIARWITviYEza+1sBjL6KgpP9beGwd2kIT9rKIx7xiKGu8JKXvGQYG6AYq8dWFeAU0IT07g90jN29gU3Ij+REBSrvvPlBfcqjLaIDNKmA/gAeqfGGIiPkQh+iBmREX8STgggSQJCJ4wgEwRFzV59QDDQ2YEUyAGscxoU488Qh0PvVXsT/KqRQZ1cCOcvhqyiKSqOshXQC0PWpOEmH2UkQxYgArLenBJGVMXtYyCt/vETR1JylKNbTnIi2CIFICURN1kAkQX/u7+UzaY/N+324eA/5Z48igCiWksm837Wt1zAwlXpP+TFqBqkvXgNAIsABpEAQYbC2CHk+IS4jZmiq/a0wHN6R4fJAQMUrpooPsPoTpjJIHlpRblYRj6dKOArUxgjgPCcDRSzA5DMAApwxCqd9Nk7ezY5BIhAeDfClE3lIxueNfX2hCk9LHvCABwzkYG7mDqy8KLKTBpi3nQie29wRAP2KsITfxoxIfDd2hIhQbF/mV3n1vh5w8tsHEQJw+7sHrpO2WTvXIk33NT9RE4Dy/FUAXtomkhDZiDSsLVJQ6JO6OG8dhPqelJSiSJFEEkgL6NU9iHUzHwVQtRtz3NdIYI8hgHnBXoFukXgeRkr0IaxmTAwVAIR2DMejvozVYguNGRpDQABycITBuwCdIhNDc96WEsMZE0YIjAzH1iKDZIQ+61NFnLc0LoB7xSteMbQd60sNgBdU4eaNgU8UAujGIhpR+AJ0wHV+ShhtPKTxJawFinnEWBGISAIhxdMDRsBR+0GsxolszTftEYY0iR6RY36V51FnnrUKYOavKTsuSnF/+tc/EkDeIjE/N/aXlew2+COhtkpbsQVpHaUE9CbaAWj6Qy7GCNjWyn9oau0RBXvKHEUHyMv4bSn6LUElgTxGXo/5PO/3dsy74/seUQOgMNKCe97vrtWHcHrsuXig95twRsZDW3weXrVfaMhQGYl2wkjejqHN+i+w5ZFAxqNJGaQbAMAb84z6A+SHPvSh2/JJ42zF//eHGBgnkAOsyANwPHyjos5oAQiAeailREit2GUM5onkkIIXoCIpc5VauKcxm7d7AhogBMjCa7oABvOd5/7ABHy8Li8rpXDMGtGJcXnASKThfUoQIs9v3KIMY7eO+dmxSI3+pSdLbSsiDM4BmdArEpA+iBaNx98YVJx0L89O1JqQ8UnZpF36UFuIbdpVYlMkx5Zrz8PFu+mf3U4Ay1VW2gPEQp97E8eEaELIMQFOHlk46RrtgRb4LaCQVWjM0wsvAS5eoO0PQHhgRqhKT0QTPGWeB2CowOp/4xkrbG3pC5LGKkoBePf22XHXISoAZawITUohvJ8S6QXjNSeAAXpRj4jHWPSlXwUx4EZUDFwOjATcw9bcLW95y6GtfBvgEIXzipz0plaiD55ZStHWTur4kKtCpz+YSt/mhGwO6usRIiZRmOM8s7bSnrGHsoyXl+ftPXxlXnZU6o4LXdq50S6F2zqWfJbiSNUQnshAFGUt2QXxa0+6AWjPW0wJW6o/NZbWxRb2NhI4cGqSu+I4AyDLVZprFgr4GRZGT8HG+Yg8lIHxXIp4DER+KjzndXk6gPES7gkvp8Bvr160oBJdC3y8vLkoMHoHQjlyC345KZAhEfcz5g39DgBjii4AHch4Wy8AEY4jAeMHAgaoCCfXpzvHgYrhKmLZ2QBcBILUAFjUA3yuMW/XEIACZN5fkU6lH+iExir6PJ9xAw2ioHdEpeCXvFx0wLN7SVfMSyGOrvRHL8YivZLiAD/wISVbslIdUZAx88iV7JCYNADBmau1U5Pwp8T9nkOEsngo8XvOQ5v73ve+Wf7t3kVmvD9SNDcpmwjF3DNuczeOWSJquc997jOsmftZ0xCAdXTMy+d5v8+63848t1sJYGxiFEcCiKXapL12Y+E/g+dlhW/AwdNieR6OoQr54uXSrr2nKIEnE7IKhyOAJEwV3vIkjFddwLYhUMkdEUzqAbyY/XoFPRV6IDZ+W4heEd5JvqkvBgnQXsAA5MjH2IWiPHH+HgFgqXnoF7ARHwJk+NqLUHhKkYJcN1tj2nkK0baabVN6TCWebuw88OCptRgf/QFO1knftuecMz7zFqUhMySkb/89Wtq7HmjUPtzTvMxRH1IYEYo/zGKXA0iNG9jpz9iNSU1A5JdnLICSIKf2v19HHNYRkRgbQrJGwn87N4jV2O2UpFCa9Wjf6U8UZIwtwNu2vs/TZuy6XXFst6UAMYQAeCXfc+0sRVl0gOMB5aJyQYBkBCS5MC/MkzDYKoyWIQNvFcYppARyD98EHDymvy8AgDwcAkIQvA3PDwiq8jwsYNRnEtK/fFQ/8nIRC0DLqVXHXS/iEcomvK8RC0ICLp7XHPXByKUpvvPASIHEgIEj4jpFOvcBNmDI2mhjDgpi9CZiAkqpAjIAIsSGZIk2aSciQpIJt4cG/T8KaY6ZJx15N16EZKzEugGslCI1A6SgeCdKUjC0HlVECHnaUxuEqn99Gitd8PoKntYKgdGx+otdidyn9lk/IylRnOhI37HF6Gql3+s9dsXn3RIBrFZJrhfuzSMJdbXd1D+RZluOkfFo+sH4DBgoW/CrEosQKvgZkJBPCCu0feADH7jdMADCLgQvJdLgQYEAKAFXKuIpNa8qziliApfxGAsDtXdtzFIWZKaNUJ7344kYvhCcR3KORwV65ONewmmRgSiAxxP6MnKRg34IsOkLUfoMxIpd2hmX/pwzLmQhYgBa4CHGKbwHIuB1nWMiE6kDr0sfrgUupBqplX8eHHnSoYhARGZcdO3+AZVrbYd6qR0oBFpL0Y+oiAA/onedSE2aIZoSRQG89IU+bRO6hp0YK1Kmp4hobkuf8rT/76F5iBjchx7d3/i8fF7p99x3V73v8giAYkgWcyXf/cSToWzun8Lb0OfQSwmD3dSD3y/ReGPbYhZcqMqjOYYUAIZx8GDyZvUArwgPxOsIL3njVgDNH5qwpahCrV8Gp2/ewmPBjLYKUBgXrwRoMUaRA/LhkQHLmEQFQl8AyxNw5saT29cWugM6UTsQJSCAeX6WXMfkMw+qiCmvd72+kRJSUwMRNqtNAJYxAo21lGr4TsdIwDUJs5GL8QI2/SOhtvAnxRJJ0AUiEN34bJ2A2ZOPibbqmO3YqNF4dsCz/NYx4lq6Q0T6QIKO0bF1VhewdorCHAObQqjE2JFqnu1In+07QlTzWI1d6zPXt/3vrO+7hQAyyZWA3+Obwi/sazEZXBWeRv/5+arckfcEHIUpoBLeCkmlBfJOHp4xMDQGDfSAHPEEH6NnREggf8km570LZRGS0FLIyWtlbObJkIWLEQRmrIp3Ktq8Fe9v3MbF8IT4wn9ABgqkIiTnddyvRjfpt76blxSlklg9P+uzv/MPUK5NPWCqPeCIRJCCuQMYUrI+CAlZ0YVIRioCwDwtkjJHPwcGwoj+kDx9WCcvkQDCEbEZUxvyu1b/oiBgZgMeQQZM+qQHYzOuVozJDgB9IQTEIyWctQ1c+2BDSDq/7lyNfefa2v/O/LxLCWAM8Jnw2DkTr+eFazzILGE8eeRTO0Yst7PVB8DCNR4tbRSdGI38kMf2p7B4kIhFFfYzaqF/W9kX2itUASyPl7CbJ2FY7g3ottmkBqIO4bK0YKGvqKt+E8Sjug3wRAjPGLXz7ri+gWYeMWZRA4LRF3IzZwRiLOZrLElPhMe8IpLiqYEU0BRP69OTS93bY7YiGnN3T5GP6/WHFNUVkl/TjXTA/JCF9RVqK6baWqMbqYBjCB8RI3TjtB7CcwTSCiKyxanOYm1EVUgEMSCCMRIwf7s59GLtEJJ2tnt9D5m39/Ld+rItBGRnglS7Xer7VNuho538zy4jgHkAHkW1bS0GcDIYHoDCkr/O0o8czwMxCkjC5ilvaPsQkIWNqR4DNMNlbLaVNvYFrFYYpf1i1/J0ttGEqELcCKO1ry50BgChsjBX//pWCWdg/n6+whZPZ6y2vuT25ioHVUsQeTg+JXJ3ILfbwdhFO60ApT8mSjc8M3LQv8hFe2CU95uPCEMbaYz8eF6xH68PD1SZN88q1XFvz2TUGoBICPD1j3wQobTDOnupsyhKmg+iBm5FTAQjilBDcJ9W6FY6IB1DPh6/RqAAbo7Iekw8vIRkrCl9SFP0r70aCE+fAq7iI3Eva2wOHIp19JlOSbXn+rk9N/bdsZ0pu6QIuJpJC8WBX9jPu2Nbz5QvJbysfJ2h87xCwalF500YlQWXi7uXwhLCEJ634GeMin+q064FeGGmB4gq+FP8St+IiDfjBRmya7wrZAl3eSv3zY9mMkeeTpgJQAwfIRqbHw0hC1FKQm9GTsbAj0QYMOICLoQkGkCS+uNt9Q388njjC/iBhjdvxXXVO0qz3EOUBSDmku05ZGeHQ18+G4MnHSOiEb+fsHbOqZ2IfBCzyEWEJFXiaaUDdmcUakUyiACZRVzrqUFzoD/RhG1cYEa+9C4qaEV6qH8pAaATOmfD2W2xPYuo2KN6AVKhU8RrXvqn0zFB6Pry8nmp72N9rOWxHVd0LXsf6Wu5ZMDDAg0D4C2ALMJQsCwjJAyBccnnhWRCYAABuCnwe45crshD8VaKXwyYV1Lldu8qdh+QkpBVoYvBAG4rPIk/hsET8mi8vC0642e8DMR9eBVpB4ObEsDniRGJ8BpwRQoM1PzNk37cxxwAFZiAwPEYGXADNqN1HnCB3Y6EGoNrteFZXUOQhqhFPyEA4TI90y2g2gYTndG/6jqPr+5iP77WH/zF4YiimvTMo9DyfXrKeBArHQGelMf6Li4uDpdKH5JCIBuEIYJBNJ4JsGbGhhAUIEVMdGQtHA9hAD+wInLzrcJehP6AbY3owD0QDF3olyPi+ZG8aEGdRrSiyCuV4CTmBXnWJ+3rWHb2552eAswC/KxzJp7zgA+YDM9DH0JjjC7MUrBhPBZXPuid12BEmJgBVNKoCrV/rwBFGK3cH7iAFQFYaAW3PJnGA/HUPBJC8SDNGPgVCrUTdYg+gI13YDwEMHhFFfD8Am840fyDJEQ/DNQcGZvwVB2EUdre4gX1b8wHH3zwMGaAFPYCnNoHb8dYGX1r7PWWrvcfZwCAMQKYiEJIT3g8IjUAUH0CvpSCZ0YIyNQ6KLoiB3WTqV0IXlOx0by0pW8eWp9Cd3N0DJiMybxqtGEs7ECUpw0yM0f1DyG5aMxujagOISF5ehEZRNR0hO1jotDIySBSfbA70Raduq/x0yc75XCsAZswB2uEEEjINPY89n3WubGxrdWxnUoAS02qnq+fTS7fKZyxMQqgk/vzfrxiHlaxIEJgHooh8BzIAejacHpKccDmr/4wbrk/AuERhdJAwEgBybgc89yASnwVBuHnpQxGIY3H4AF5T8U43tGDSDF8cxkTcxEZ6Ie4N/BJA3glgoSkH9mPZtx5qAjoFLDkwES4ChQIiZeeEuMyP0AGfiTGqLML4JicOOLpSBGD/unP2JAl/Qm9ib7Mw1yNd0qMzTqLDOjKnJExT+w6ugdC823rIMBOt9IZ40FA5quAqX4QkdohEYRWI0LEPrargFxt3dI1m0I+dmnsELA5Xp++RGccBrtEQnQmKqATNQ+yEtAHA7k281jL911GAO1kZn3345aNfdGNsgGdpxG2CgUp1mJYQJ6dwSEH3jDgt1ALfYW95pdVaVidwUV85wl4UoYmVwdCALLIvJAwUvjMCwj/2z83LeSUGyaU15cQ13j1z6CNz7jbn8IaB48CnAivir1l4aZohpEp8slFEUJ2Mmr7+hkwkQaD5GEBw9ilCoRhGRdvlUhGSG5tWnKr/eazsSUvNv7k7+7DY/PA3hExYNIJYgOSMbHtZrza6ANpOKaKL7LzcJJIEADbX/8hp039sx4iJk8oipisW/u7ABEC3dGpmkfErzs966DvKoq4yFUKgGDMl12aE4KyphwE0qpCr8bk3VgRj+LnLLt3fT1fP9e+1/LzTqsBzBp8e679DvxyKZ4k4OR5PJDBwwInI2YkyEDRxqIyZCASaidPbJXVsj2vALwAZrGwPeGNMLrjQlFGpV4ghEwb7RgSw1do0iYiAgF+20IMX2RhDv6fuohaBcMyn/bZAp7DvYGBFwVQHi0S8Ks46z9PFtIdIBBEg5ToN8U85KiN+oV8GAl4V4gUAZmrtu4rfHYtj8kTJxUaOu//Cfh9R46iHUAXUifl4Sn1EdLJtYCD3BMpOC59QPZSPXP33INoS0iNeBEC0hfyW0cEn6Ir3dqCROAACvwIin7qw1fOu6fwXB9JARGfaEEIn9DdmOjVnESD0gjrJaLhjJCbMdF/K0gBGYlS86QiAqBv+vDyuf1e+5l1rrZbzeedRgAGZQLEZEm+D18O/ac957vqsdwQuOWkQmgCRFhYuIdxGRDgIwnhZ9iYl8X0VbQFhhrqKfAwEMDOD2Ncw3swfl7f4vOeFpxRArVxEFV44FUo5Ll5KCACVB7RtpZfu9Uf+iAw1wEcQ3QdTyS35/0ARnEP0TAeEQgDAz4hutRC0Q85qi/wUObGUF2vnZAdgSEhJGkeJKmSgpg6iTbCV4LsEOlCHznRr2Ing6d7nox+1V8AiD7k9YqSQCYCc1wbUYp9fNcDofXRHxBXAWyEbQ3oVQ6tH+uGoKwhb0935qxQyuMiQsCXngjP6TqpD+AiB2tCkInnCYyzbj0Cpt0dqQN95Sk/0Rs7QK7GTqw7kYZwLNaADejbC2nRr8eQEadt4AgnRCcIg25XAvqQQPpc6/edQgABtcHmc8Dfftcmi5NzQmeeiBepgm0xcKrRPCgj1jdDZyC8MO/WCgPNs+s5574MqILfOf0bC0MWRltgi2iRkUMKct4V83I/xqLAxEAV1LKNlPt5N1aAdl99Aq0oRPShKKio5J7AT5AD0vMCRNV6BgyYPCRPIycWZiq88cQM3vjVAbyE3AxXoQ5JIkKGCYRICMCAWvhrTsZobNIqERVQ0zNyM3bEgjjd37gUYoFZNORv7SEHpETcWwQzJqICLx7f+PRtPsBPFGC9eHde1PjMx9x4XzUBjsL4tXEc6LyzE+N3fxGeJzkVeiOiBeR8z3ves1voSc9akxRoEZhxWwuAR550wy7pynxFfUAvZaRbZGddQij6Q3wILimC6MR1dGycJJ9997n9rk3O+byWsuYEUCfVDrQ9l+/yowiPYEExcFuxphjhN6O0KLwYFhbWyhEtUhg7/XnnReqjvbyHhWd0QFVFWwbP2BAMYuHheX1tgYxxM1bPiys2be4fAWa4Qm6eDMAYaBVjRyCq/sbLUIDQHMxZnpttMp43Yj7Ap18kwQvxdECYR4u9Mz5jUbhilDwWAJgDQmPI+gFYREq3iARJKXjm4Rf9Ou6+9GCeiJXR0zkAAoEIxj2dA1ielLHrz1ylReYTT5r5AErSM/d0PyBFIgiJbq0pAorQu7mIDuywGIMCK7LXhwhQtEinnAZSNm8AZxfmYVdBtKN9xMNBQnvRlGcERDhAby6Li4sDIdOZe1t/49zcrzWdWF+OwX0WegLZ2Ect1tY4WmGvoi5EgSSrBNhjoE+7WefSZqXva04AdSABuAm00p7zXfFPrsd46v5xruXZAE2o6EX5vAdjEGYiAACwyBabISnWJcLQDwBbbIuGiavwxIxKMQjYGKHoQDGQsXuIhYEyakDivXkansG9GDFAtyKMZ2g8EPJhCIySUdmLdr4SRuYOdIxbRIQAEAdPZc7EOMwX8M2dYTI2+jAmXsox1xm36ICndB2QC/u1B3aGixCRBSDRj0KpY+boWjpRhwFEpIEQkI3xq20Ih+X/wFZTMLqKBwz4jV+ILwIwPvc35hCjYmUtiLIL8xEReZKS01AnSQ3GXACStzUHZGSXAumKmtQrkBOws4EIIkMo9u6tnWc1tJVGeAYhBIlYpKOiDpGPsbIPY+ckOIM8GZi+67t0zQNsqcnAxCxgzzpX+13t5zXdBRgDdcA/ds7gnVeIwZDypDFhoM5ZKCL3y2OjKRIhBAZi8QCIIWgDLBaMAJTQmjGnUDac6P8xvg39ToNF5DV4SN/lg4xdCArwFhp4EYIXsnEP3m7sz0i5Rjt9qBHoW3QB8GP747YJGZXogNGZCyOVwvC8PJQoiJGbs2jJeAA2+ajw3DylBsjAvZGnebs3QRoKfXYIAAfJuI9IQZRBj8aoX15b3YH+rQPiRbiApY1xIibgBcQIQgQkEQ0wVkEmCm/GiKTcH5kp6rm/yACI2/RMH7Zg3as+Q4GYeGek7pp6HeAiDHMXsSAhj15XUVvg4bXJGBAfkrJ+6gzZUfCEKf2LDtgUUp3nh0NIXOqnT/P1aPMsXBif81MYquNf6ec1J4Cpwc6aSD03NhG5p5yaMVO4vWAGZDF5BnmV49hZ+AYoPBGDAmRA46k8RcfAeeMqFpynk78yRr8HAH6CfNybB/VMAePUP6MQqQC4nH+xDxnHxBYSw9SeqDyLYhg4QQjGmpw/KYacVagv/eBRRUdAazzGwkMCfqIPxNAa9XCD/h9z5ulrxT3nxt55dnNj5DxiK0JskRL9i1CQIP3pH6GIcOhIP4jCMZ7YO9ADGaKV+lh7wEMwinL6cl96pifzt8ZVrJ9nHZAzMEZEWO6DLNUOUuF3Xp3G+FxjrPSlQBhhK54kRIZsSUSA3NiMHxaxDT+PjlgDDsa9ECvbqAXVNn11HcLOsxDV5n0mFTv189S54aJV/rNmKUAmUcfTTmLqHIaeEqGqcBL4iXCTd2f8vL+QUIU4+8xY2bYVr8cQLajQ3qJidKxbxXdeiDfkPRhewK+dIpN5IAEeEKB5PqEhYPF+7S8EeUwCrJjeHJAUo21Ffum+vIMQVH8q+tIOc/CUnZ0DRg/sjEy/ogBt1Q54yjHh9REa4lgOATBSZAqIY6JAFvE0JRC4h/uZgyhAXQBBIF5rox1CoBvtzMVa0q1UQ1oitBet0YnIATn6jABERJmndbe1h1RV3RE8z8oGESNyQprmIFokCIZtIAnXcyB0h+iIuoitWNchFUTlHfD10+b27CUpgM/qFKIxxCAiNOa6nege9CpS4XDoJyRABy1+5jmnz9XKmkUAGbABZTKVAOpnbXwHCN7dZ55PfraU2KoRzjEYAPDACs8S4U1twckteVmLAkgWRZgKkBFGBExycW0YPPIQghPABEChtX1w4hl/lX59SwcwPTBaUPfMAzU8h3sBgdBRZBJRLFRnYCzmwiO5p9CaLvSB5NyfJxVi8paMFhExYCBzX2mH9zFhlEiKAZs/cDJW9QrbZYgOqPTN8FWv1UyMHXDpKx5rrH/HEKLKud0FwBNeG7PxA7z8HwEAvWgAISNm7c1XqmEM2iA3oT0vLSoQ9fCu9VFuhGbrEaFZf6DOA1sAbR04C2sjomCL9efdxiq6EhEgFeujHTBzBq4VoltnejMuMmWftpVFKvQkxbOWCCn2Mlzc/OPZEDaAOG03s7l5MaOrirWm62V/XRMCmHfws9rJE1P8mpoFTwjccn1hen2oJtcI+yw+w7KQ+hUtACxDSkFQG14cSyMQUYaCXES1mbEaE4JI+CzaAFY5vzBSbcDCIxPgURDi8Rf7lAAh1OfO9S1Md62ckocDBMbOw/COioTuxbh5SIbJUIi2wE/oQUGJ8QEqD6i9MSMR4JNWMG6hKkOmN/MWriJQ9zEXROQ6ZLx58+YhWmGY7sVYAUUbBBmSA2beFpnw/uaOXCLICjkYM7Aq1olijM14gd53ZOFFB8it3aoFRNujiCEi7VD0FFVFkLSxG4fnIHh0woMjpeTvCNE5JIRozQPZ0QNiQYJIxw4B/SBHQp9ILHWo4eCh/5gnG8kcx/5Px9qe3YkwsjNFJ6Tio37OubF2w4Wr+Gc8xltBh+3gMmjvOVe7NUG5PMG0Y+BndDEqFV9eD1iBdgz8cjT9xGMI/4T0DECuLvxisIpHPEeqtjxoBT8PaMz1Z8fA5gEeUUr9m/QMZEPvSeX2QMSLiEJ8lr+2wqjMG5AQgAgEgKQAxsjD8YTCUV6lGnnAr0+glorwltlakg4lT1VMREbmri1vyxszfF4OeTFq+gQuIGTgPJjwm354R+O1j06M1dYaotBevg6IyBZwapSDmLyIyAMRuP+WPg0zXyRAb0hLpGNM1hsRxutK24AL0VQ9GLv1sLMQoHMOtnDp30NUjpuDPjkC47R+iM8ukEjAeXm+dWBbiGChL3oq6IkkRGdIFGHTm3EDrftUSbHTeFxfRSRk3vW4uSMSOmOLipqK4FXYH4x4BT/5nHO1/Uo/r5oADCqSzxlwjnsfOycUGxMgtQWTp6rkgdiZoTGOLHq9lnHylgE/z8XAeXzhHiPkSXlZIMPY+jKumqsBFRAAdBWFPsZQwc87GVNAZx/ZWIEyaQlQAR9DBBp5K1ABGWOX85obgIgc5IcMoz6+mnHQiyIXj4pgAENBTVSCKHn4CCPmKemFN/egkHsai0o+EHln6AgHcBAhnYua1D58ln4Ysznxkh4bRkS8mOJY/gowspWOiRKAqgqPurHfJwdoOkB0QGH89G89eGK6V4yTP4sEEBjv716chFpB1ozerafozroT4ERWAInEjRe4rRuClSrwvEJ0Ib1oix7YAn0iXOSMCIxNSiEqQS6KihwG0hsTKaSoxzpKG7OF6bjx00EIHBkhPCkT20PQJMCmkxZDY+fG2o2NbdaxVRNABt7exODac6lSOxegYlVeuoriC8OLABWlMR6hPKNvhSEmzHMOKEUJKbzJ1YWywEaZDIoIRXlj/fOaQNM+lw9AnhyrY5LDISlGwVMoNKryAo7QkjEjAQbDwzEqJGDugO84wDJ8xpxQXGowlj/yeMiEwQMZkDBeRsvIgFRdIYJIGL97AQovo3pvvK4nim4R4FUQ4+14UMCzLl7mFWHcqdXwivSK0PRJt4xdOpLoLtd5p0djch5QbDuKoOgGUSV/V59IKuBeyCc/jbb+iIwekJ51MDcpE9EXkJsbEEvBAJ7+eH1ELvIwBmtgHMZubRCRWok+Is6JGBAAQWRjstB7foVG/SAxUSDHk10pkU7sFvEiC46G/UlLRFsKoyICDoCMgT73zrl8X+n7qgggIK83N7BW0g4DRxTIGBbjzA9ZnPOdUF5EMQt4Aav2kfNAhMUjFhnb1hDeohobErFIQOMdMzN80YgoQT+AZt/awggfecca3rqPxRbiMnoMznsrNslF9eUZfYShT+GlBeZlGDovbPEBn6dGhtoAU+bNk/HI+kCSNUWSygiN3RvJMCxjERlUYbzIjacDIp7esSmhH4ZJx2oiQmSCZCKATT+Kq8Jb4AcchIM0kJC5IVikqS9AjKR4i8CsRSIB0QESlI6Yr5QP6HhJXj/plDEJlxEBsa7WT7vUCehTe/UPUZM1MGaECfTuq71aCH0Dr4ghwEVUETs8IgvboYg+Ys4Zg2OilaQJdEIH5qEmIQ0zbjan1oH0jIMdWGNRhuiRZEcJZlos+R4sDY37f8ba5dw879PWMM/VfZsMsg4sn3NOV/nsnDCSCEtb768wpFAVUQm2gMJK3pGRtOJYwk7eg3cQRfBkEeG6BWEkUgjXYFwgRyAA4kdBvIrFEgYzICTSgl/RjwFIMbwLlRkXr8JTKSAmlwV44Z57uJe+tDMGXk6oD7g8J0ABKYPn5YS2gFHBrz/RhfsxXuNGJF5TwqPI2xkeYDD8MQEMhMhbiUJ4wzFBOvTHe6o7mJ/2SNpnEZutVQVS9zReuuTNkZZrEaViHRI2J/PVzpogSlETTylERpLaWVeOg3dlI4gN6fgVn+NC9qQDiqTuIRoQ3dGXF/tDTgEsp2LOPC+yEEkiwfxoTChPD0ih5v8+17oRPVlPT4saP6BzcIjHmtIt4jZ3+rXmIW26QgDGBideFUM+55z75HNt5/hKZMUEkAHWmwbk9dhYO3+GydaHlECVFugVReTnPCnvLVQEYovF0DF9CoK1f5XfDX1IF/EUnL5aI5c760NawFgtkD1hISTh8RgbY2F4DIrhCf8ivLQ0gcHEOwqZgTmCZICRsWF+gumxv8UHfoU0QKmypS+OMTwFPdcynhCldoxeWKuPHAc4fdNb7lX79BnpACFyQUoA6DovhIpceWp1BPe3hsYg1HetgtWYAC1Qmos1NmbkyriROsNHFACFxOiUx+QZraOIaKH3vOwgYksT2JAAXSNY4wUq6+ZBHamKF7HW1t84rYE0jD1ZWyL9E8G5h2dNpBj6Q8bGKzIBTiIUR1zuTR++cwjEvGw/s6kUAIG/jQq01S/9sWM27H5smIMStan5WGs2IsIxX/autsRxVAnQ67Ex0I+1q9fM+rxiAtBpAF9Bns8517bLJPNO6ZjRIsq/GaoCjbBbeCgExpaOt+IeFfzCZkZRawGu4Rl4K8UhRsFrEfdjxML+hLmAapEAqn18VdjLqzBiBSngCPjl/ry7ENfxnEMyjIDRC9UZVQt+UQNDELHow568MFchUvUbOBMaDgM/9B/9AIeoh0Fu7PNTnlaRjW7MM1tvQm4eh7dkpBmDY8iPGKfoBlHQg+gGeJCasFYxTb/ICenwmLwycGd7LH2pSSAUIK5pEPKUPgFZLai6P2/MHnhx4BGSI2RkgETozvUR60m/vLzxIRRhOr3FWdCHtXJP0YJ+3cM7gopIVURe5mb+IrJWRIXGbOyEI0OkyCJi/elFRIOszcFaArv18BlJWoPsQqkFcU4itYCZniuWfM4598rn2i5jWM77igggA6s3MpBWxtpZnOzNY0WhEWXzZJRgK4UBUxJlRpE1x899GH7A7Bi255Gq8CrCSddrW9uLCuRtikgWhKHK53kvQIgAkZf8GQlYWDlqFUbFGPXFsJLryU8ZNCLjgeKdcq2tKWCx78wjiTwAjnHL34F/TAADwIDUeOWwiEkOLqeMpDBIx4BEp1PCK+nXGgF7K84pqtlhMUdkSC88XCtSE2MDBlV0ekfWSM5nxAI8HrlFIoSXBhjOADGLEvTtnQPgFBANDy6VYTvSDKSv7iKfpjNRGm+tMOi7H+IgdfaCKOgWQdOzx4FTKFbfQGzIwj1bQZacDOegLdux5sgy25RsA7kYt3khLv1JD6Qt1pc+EkG6hzFaH+QpFakSoNdjY6Afa1evmfq8IgKonY2BfIoMwngWULjGCzEoC+6zRaEMRgWQFK4vxoa9qzCUCmaAVXBpAYNMAE+/tT32BiAeEfAYhwKkBWI4MQBpijDTtQDG2wmdW1FhRmyiFQUeIaMIgxGoI6RKnev0437yYoYfYhAN0SkAxovlmvoOQIqGUgpA4B1rVb+29VnIrlBH97Uol3bAKOzX39iaaicU5m0ByPwQuHVALGMi5OeBRWTmwlPqw3zVTRR35dob+8jFGhH6k0JYe3aBQNiAeyEPYBNiS9dS93C9vumUHZmnNeA8kIIojUMBRJGe8wrPwIk4RVzZdQBuJAOIdg/YZ6IbNoIAEKD1yhh4bg4BCXAEiDLEhfxFQaJatok01To4E/MLIXN85kj/bMbY3V8KRdYS9EOHh/6zYgKoIM/najj5nHPuJ6RmrBg5oRzGBHBVWYtjwRVokIXjQMLQA0j9YFjXRSjU4uSPV+b4pk2bBoDx/sLAbMM4b1vIwlE6YNuSEim4FwNURGIEUgdsz9CN3ZOGvhPhnAId9ha6M0ghpFDatSkQ8jSMndGYu0iF11KYjCSPrx5RqKkIml+2aUM3iCVVY9fzjubXiroBohBhIBpPqFkDxg4MjJQeES6vJAIDJnUNRAGotdKd/rURJuc/UaE/JOkeoijrSJ9qLUklhNdIAFlYY2kZ0NIXby60lo8jCPq3VuZp3b1cD8yOAbM5JW0zLiA1Dn3rRzoARHRvjdkTghZp2SVw70R0or4QgL5EkcBpfZFdtWH1BwSE8LNCcu0AAEAASURBVBEA4BofRyLyEs5rT28iM47MZzbiHiIj43HvgN89fUaC1itFcHYCR14ZQz77XjGWz/pajiybAOqN6ufcNAPNd+9pZ5IMJODHwBYWS/LQFo9hMQALiNEZvbDN4gE6omDsdcGE0ciiioILI7eAG3uDraIiDsgMFHhEI0JE92QgjNZDLgDCA/AYQj1eOfvB+hPuA4kxMlx5vEgE2wOQeVh8Xh3hIARhrPDUDkgVbUnCYZ+lKMYHJLyIcJ6HiufThoiORDO8OF2LOBShFLSQDm9Kl0jNHBm2uSM0hp5QGRHQA6MGMtGQPlW1GS4S29CH8dbNsYg18SIq84yb8dOrP+kOkO7n2jaqAWLhO+Ag26R6Ii7PY+gXuStk2lq19tbOeITRUkekba4Iwtism3nSpVc8OLJGcqISNkWMTQ0GoENodMibs1Xt2SQ7jdCt1M51CB1BG5O1N371Fv0bNzwgbbbBfnl4fRtnKyIVLySDsLSvUkGf48YazNXPOb/U+7IJQIe5Ye3czVup7QCrDT9dE88ldItnZ1w8P4+MxS2oxca0gGKxKcfCApTz1fszWnks9kUqVYBTiMYgiZBTX0DAaxFgwsKMkGeX97tnthVDSoBlpwD5ABIDECnwbnJ+9Qd92DIyRkZOeEpsj6QQFAkpDl/6fwAIEQE7j5GnDXPeu3GJJKROiIbBEYRn7gjHXHg7Xp1eEQkjVGD1QjDurQ/pkmutm+iEkdK3fhAcgiDAKMQ2fkXIPOHmXJ7pEGmIwMyZp7RWLfgREIJQ/LP27APBRejGix3wsIgQoQEYLwyE1o++5ePWyjoCm3k61gpCR1L0ZgsW4NiC+dKzLTlC79bTmBGxlCWC4IhdCbqSXi30hKNuIXIBcHYrqjIOJGc9EAmSQ4RseUr0G0eg/xZbY0AfazfVfz2+LAJoB6IjN26ltmMghPdkoDX/BHrGSRkMQHhnkbWjVIq2oJRKaQyW0dgeBHKGBXy2Y3jjCPDaNmIs2LeKoo/cKoLFN/fhay3KAAUg8D68NzACiPyOh1R4Mi6hK2Hk8kj5GlKQH1dhcOakX55EWIoossi1rc+Ig9ExKPqpc3MesJCVVAPBuL8oSntgphuejV6kOQDCYwIxonKNz8YKQNIAgHYcAISrjJUHRzzmY63owz3pjIcCNH9azb3aH8DId0UQ9ApcgJYtNHMgPLY1ttXqHeHRE9AbT3ZzAAogjdM9eXDRHcKwRWy+dIlUeWyCrACvJR3n6A5p8fiLi4tD/YTHljKJJvRDX/TmXshCRGT71TjdSzt2YfeHXhClyEC0mFQzRT02zZ69YKNiwHhaSTSrrhDHNi/ox9q1/dfvB9Qvy/lcQZ7PlQzy2bP4FE3h8aD1Plib8iysRQUMIiXQXtiL/SkZe0oFLBQPwEgYBaVH5MxAw8uKLupDNPJyRZgUFBGKSMHxKoyWwQfUAOY+vgOmzxieB/SSq4kKAJwRtGJ+UgfjYkDIjsdmvK3oB7mEeDyIYk6Ih7HxaggIuTFQXoxugYm3oT9ARpQE4cXLMUQEwcsycqSW7UFpCdLkkRGU4pz7iGSQqHYiJ6kE4nCMoZqXdUHKziFxoi2SEd5bL7pWQGuF/oFbH+wIuDb0ZG8+VayRuZi3td/S76XTo3mK6hQwEVeE/WkX0b6K5z+M2Tp4qeuYk2MR0YwdAt4bASiASg1FJAhXe/0iLoRBHwgygoxEDhwcW/USTc0j5ptt0mDJdfkczDlWP/u+HFlWBKDjDKD9nJuODcYfg3Dd2DkLjfUpWLiOWSlXSMX4a6EHAIRpPL9wlQewGBTL+8nHEIU2iS4YLrFQSIZ3jXgWgXe1eBGGCqjSAmRjfMaiP4zvZR5IggFidX17AEWoj9AiPCNPaLzubVF5JPNVxGJA2Td3Taq+NQwWZTA8xSEgAXrj8zImeqUzY4qOgZJnJ/J5IhIQlgP0lCQtaXc55MfmimAU8ZCYtTJn4wBMRI2ojEG6hAgQWVIckQQ92W+3jhH6MyZzsYZABOQiEf0i8tQFHEf2PKhIypjoD9lIddQ2kBrg0bV1ozOkCcRVjJ1nl2rqw7pwGP7YCQ9Oh4qK7uNaY/MugnJ/RCUVYg9SKzsw1pmOq1gXc/JjJLZkfLE34+ZQrGkil1w79txH1jhtvGfN28+1zazPcxOAm88SA2nFNamYT13PKynkUBKwM1wLjTkRQQSJyEn9oIWH4jl4X0rEsBYQ2BGJPkUPjIc4JgdOyO4YA5Wj8bhVAMaLJ9TfYh8iGp978p6A63uiBN4XuBFPBb8+hW95mkyl2cIjNf2LdnhGtQHjY3zZ8sl47GcrRAGbqANARTRyU0RlJ0BfPDxDF6qrcAf86Sfv5sOop0SkIwoYE6AXwm/u0yVkAjT0y8MDifkbl+IsL4rkEDTSyB/kAEjgF10gA+utuMo2rCsyznogT/OyztrJiwlgWDuk7x7m6jpARk4BknUjHAUipze6qkJfyAEBuYc5GovxAjIiQ9KiKrZoLtbBb02MQzGZXbH9kIg5sx1tItLJ1IdEKQgNEbBn0YNXxp1rvEuNjKfFVgV9bZ/PY9fkXPs+NwHUC90gUj/nWB0wA5klDEcYxzABCaszsAp+12P3VM4ZKqW5tzwXO1M8JSuMCcUtHHASxxMSDwf6f/x8NUaSY8DNCOSIwv08VJTFU6wS1vJWckb3MU5zSN6nL1VcBhfwM3akBtARnlNtwH2AVghehd7sNwuHASyFJSTiXkgv8xNCE7WPsepy+hUZMW6kI8qgIyBLzu84EEmRxgzS/QAletEvovbiDQEEKK2Nd6QOZO4RXbgGqHlL5M2DAg8QE+NyTIFP6kcHwMRT0hOx5nJ8EQf9LfTEghxFbbZOpUUhY2NA2Np5FynUCEeKyg7i1Xl4+qYTdoUE2A7QslF2BrzEDhCdmKPQX6ET2M2tEoC2Igu7GAgdKVl/aa4UQwrSirWw9raFyRjoK9Dr57avWd8PmHWyPVeBXT+nXSUDW0YRBtGKHJpYIN6bUgAbmOoWnzYUR7lRPKOgcIUnCrSgjM89vfPOPKxCFkIAQNczEmIhKV8Fv4qIAHixushFoYuYq7ExDnPhkXkeAAIIYI8BZ1ciIZx5MiT3J8YGpDychbc1qpAWUTijRyGs2onIALBFL4wQOQFnwJ/rvEtvPAoLCJHUVBCefoTkcnURgwKXz8iVwSM3hU7gBSQEV4UXzu5JPe4z3QKssSNKoBaF2R7j5aVnVYDcfGz10V8VNoHwIs6n9uOYSAxJIUlphod5rA/7APD8vkNb0RUdIwzra07mGknF3bj1iySNy/oiehEC0kX41tH1dBZBfoTNRDyWLb2ogpCE+moA7JFtkjHwO+4+cEHUmCIVYzlWsVg/5/ys97kIYOymtdN6U8AiwsMsbMBerwGeiCIO74uFsWcrQn0FKaKirEDGuOSThEIxPBLxWQrAEISb8kiAtZAMiyjk1AdpHLNPD9zA45wnBVM/4L0YMAORx/G+AaZ3YMbYSMm9Urwxb17O+QhDMBdjBRKGLqwGOg+S8EgMCJgA3XxUuY1LmEwXY5IaA0PVVo5LUnkXNitQKjwqhIo4GK9cG9EBMO8EUPJsxg8EnrEAKPowN6SBVMeEx7KOrhPJWROpE/Kjw4T3CpoiJySLAKRHQvoqCo2iCvc3f57YU5mIzBjoi0hZkD6SsS6p0KcvY7IeIgv3Rb7sowoy0b95iz7ZICJQvGXHxqlf4wBM/VRBGOo/EXUfkVQrxscxITNjniWwgBysS7ZWgyfXVcyN9bMUZnPNgfkw73vtuH7O9dXbW1hKY1StABIRUgED5VD6WJEq3lN7jM445c8RBso4LaIFAnb9YWpeW1jvHBHOyxdrOM6wMLOqMePd2IdxhBEjC0BhDJSuDeOzGADqvu5ju9N3xqQdPQgdF/rwtBXhX4BpvO7PgwA3QNIDAQL30Y85CZ1FP60wNtczLPdHIqIhIa/rN23aNPSpJqFPoKMTkZa+kZu8XD92EITE8WyKdNqYk1DedzqwRdj+HsKchd/IyzuPC1QAo2bhhRAcE7XRKUHUSL0SpeP0aa0QAW+IwICN9+SNSSINkQ6Csc4iPDbDttxD1KNQpx/zYBNIjK7oWuSgmByyFl1Ze2ClL5GVSA8JqgGYh10H9RxCDyI3xdpsh06lYoCvDyQtCmNv7u+eyD6pi37pPdGv7/DUYs53cyL183Bgjn/mJoDcRJ/1c+5RB5ZQ3TnGPiYmZ7EsGqOy2LX6nWtsHQnLIzwF8NT7MR4GYsEVelRw9WnBEZBog/cHttQDEIgwXcjrxWgYBpBZIAIkcnehsXfkoy+sHIC4p3zVYiIy14poAN9vE6oAAu8T8DvH8HhvpCZUZRCMWV4fffA+xC6BcwjDMdEWILgfTwnw+pGTAqB0ge6Ajuc3fnM0zhgeItYngHiFQBGxfj2/IdRGTshBDUGkIHJR7AMSwNUnHdSaT4gbOTonggIcxm6uIpHMDRitDcCFCHhBUZ40gr1YQ+tAhwiRqMyrDbETjoBtsjlpgbXJ033uL1ozDzrzMBQQIi32StciOCSANOysIAk2RFT5pW/mqV8kGQJwXuqnThERdbi3HZSI+4tYrDeytV7shQMxH8eQN+dFnOcQ2BziS9QzBnTzDibq59x76v0QS5862x9Pp1NNKhmEvUwov1mfus4iUCY2xbYWts39XZtJ++waSqpFqIS2MSTgEmJbQH1TNnIRTmFTIarPKu7CfgSBlSmb5xdmV9nQh5CMTM6q6AQswv0IkkBKyMRLO2MW/jN0441YSICKCBsVktyfx2DkCIwxjOnCdbyEfJcupApCeVEIcX/fhciArD4i1EYmXu5FF8aY/NJ1wOG8MQNZdCD8BXokYc6Kj/QnZQAYobKIRL2CbgF2TDzQA5S8rbV2b3blnpv66CRi7Ehyc58SARmhC2SrGIbMzBnJWbsIvaqjAInPdIPQfc42pLROhCTEN07jZ3PAJgJiD+YOyCIXOhGpSCUj7o+crCu70S6CEBETUiHmV2sNaWc7lI3CinUU1SABTsb4a3riemtiRwJWWqnYa8/5vhR2tVmSADSK1A7r55ynlIhwCbvyFmOi0sqYAYRRjkUKQKFwEhGmMuwqFl6RhvHLD/OfVlgIzM5L8cSUiZUZBTan2Cw05WP9PCOANNxXIYfHBDAVe0YnH6vph6fihMQKbADBqCyMkFC9AkHxYAqOMUbj522AR77oOAMyDuQhwhgTxujFi0mr3I8B5Yk5Bov0GGg1pPTF0Bg2UAF2BBCFuEDnvRV6FNE4b4wR/RA5sucUePWxFMV4eGfgRiKq+O5jDMBAxxF1EAU7z2hYUzUctmKMSBrR05W5tCKNYx8iHmvG9vwuwtoIz4n0R1+cgAhU1BNBYsgnVX1RkvsZd4T+rS3bNI8q1jRP7jmO4CvBOWZtORQ2j5zZHbJX01IAt26IwVyRLWdWI+ox0Fcs1s/ut5TsqMWRK8ZuWpvVm8rJIvZDsXFEUYi3IAyXwiyYiWPfVqQHtVIPTAFp2gqhXS+8qn+9h8dyf8UwhuqHMEJQYSaSkCKE5RXOLARDI4wckIWDjNc4jB0IshWV+wsTRSRCbDsBPIywlZfx3LlrhYr14RfEYLzCXn9qCilJQ4AhtYv0n3ehMzAwPoaDPEUMxh4jBi5pAYMx9vpQinCerrJ95sEUxgzU9KDWwSshl1rks0ZSLAZPf8YcEQ3plzBcbRFivGDauReSowfrZ47aAxCA5g9spD0gGycQACrPy2MDvmOiJLWNWnl3rZRC33QpaskDRpyMSjqitobsgf5EQtVBISXRTXaQ6FmqkDm6B9JKVCklqCJSqZGJeyHlKu4nEmEXSMz8jAfZiGzMWzqHSBEZWzFOksKuzxVzvreyFGbTfi4CSGPvteP6OW2wpVCG8LphanmgMIxXBXqGxoBMhBIwYiuVFITZB/VFKDlSRK6PTSmzsjQjcV9em3fhsRWOajqBZYHbGBkDLxExpg0bNgxEIFIwdvmda6q4P4MRujIuQEQAPKK6AG8jKkJ2CIaIOszBPjFAMBKhOt0Ah9yVJwoIzVtf2iIvL0BkMDyYh1EQYIQn4eHoxPyFzObuST3gEH4DEIJkwEJfwFU0lJ+6DnEAjHBV/4xQSqW4V8UY3cOcvOuTh6MTRVbeUHSCZOiQc5Dj060xWCM7LfSdx4QRszHQC8DTZUTk5rj5EYCvogBH58agT+SIzPUDzAqKiNk42BZ7QsRqIxFRJrGWtjwRNKKN7SheInb3oWseOiLSNGfng402YkW2CIZdWENrkzTR2rBdaxF7pjs2KuKzDq3kPo7Xz227qe8zCYASI/VzjtX3enNegHExOIwGgDw/0AMd70QJUgQKIAysCk8XInGcsSmIVOFpeC3KqkzO81MYNhb6AY296QgPI5djDPbA3SdFPaCS6zNqY0UgDNJnhhth0HSSLRoGZUEj8nrfgVMxjmF4MSDphX19Xg3gCaMNWfI4fj1p/IpIyAJxIggEo7iGmHgI92CgEYbq5TxjYuAq9q7jvQDVswKiFd5cGmF+7uEzXYkGRBFSK8SnziGSq0BxPyARldGf6EVhDIlYf2vMs7GBOr6Mk+cHYHrSBiEQ9wE8BIIs9DUlxiqyQlLWCdFaB16X15QOGWPqHezNmtED4hElGLv3iDm7P92mroToa3ET6NkTG2qjHdudxpFxiyTpP2JczquFqInAjeo+QVbGwi6lU0m9ELT6TaRiLcfqe8Vq/Vzb5POB+bCc99pp/Zw+LLxCFMMBXKwHWCkcAb3wk2EAYzxarvfOK1cRgrfFP8atT0aTEFu/wtVs81kIhFAVKM9jsLwCz827El4oBi8qEaYKfxmUIlSKnNoyvprvpnLtHLFojC/FUA+cGJt7IjvRD09Uw7pDruwGgGJ+RoD0zJ23SkTEEwOj7Sf/N4HxCR/pUtWadxJRMCjAMCd9CV0Vk7RliAChvXXQzjrwWEgFIZmvHQf9M0z9I4fs6SN36yqHjTdGlMg410iNRDi8pZ2JKoAvPUAW7uu7cSbNMwfgYD/6rWKNeXxRmfmyNekZ/UrlRE6cDJ3pG8EgzvQjhRDp6NtYq7AZEZvIC3EiSDZr/uyCKBaqM+gPibF5ArxSkIU+UhEZmj8HiJARPIfjnsiFHVgDzzBoa+wiYcTMnqSGnId7s988XzLcqP8H9kIG9XPOz/M+MwLQQW4wT2eVDADfYjJCYTpj4vnkVBRm4TBzJi0kSpjFGE0+InIQUQBBhPEzUostpI4HoeD8BR1teTreHVFEGI9cWZGF0VlgRAAowlj5KjAIGRkSL2EuCpu2dhR3RAMWEciRQSsIgEeM6AtgUrH33npUbUUePAMDBXxtGIP7150Bhs1jAw/AAB2vhVDMlT6QDMDbJlNQY2yKa9qokiu8mpPaARJguIzPPVXGRTnm5/4iBACSFpiLNEWURmr6pi1C1j/CsdY8qPEk1B0u6v+xBkABLPSuzmEdeMiIObZ1F+esHS9Kz4BpPK7l3dkaEqMPHpotuk/SsPRt/lIOIsyuwpbNn51ZN2MC+ghicj/6ifNxzliMy1wi7Fbez25ETMiUDYpQEAoS1DfSR2RqEeZtF0a0wc5SJK8YS/9T7/Ngd0kCqJ3XDuvn2iZgsNgKeFgfC2JZ4Ge4wMxI5Ggmx/gskkKdqr1F5S2BjGK05+2rAC3vo52wLcLwEko7Jsdti0VIQ7swvCITD6V4p0+hN9LhQSyoF0+JlITnFlAoTyw29q4ib815xxEUA6AzngKhYH8AaEWeB2wiB0CmL/ppQ80YIP0CCKAJ+RGrdAHZ0j+jcm95sxyV1xNVqLYDPvF8gfMpeAERoghB6w9BM1pivkBtbIjMWlRBENaf50Wmoh8RFCKi3yrx/OyBkXMWqaGkHQ9aH4d13BgRHHvjMHhR34XNIgLzYV/0oW+gAi6AjdBr5uS6KuoY1trcEbL6A/uMxKG4npNAnoRdae++9IocECSiAXRjQO4I3XY5EnCOvqQ8UlfjrSIKQfAIaUwqFuvnsbbtsckUoDJN/dx24Hu9Kc/BGHkLLEaESRSEmXlc4acw1HGTt4CuAXxK4YUYFiVaJEDBhhGAjdfRF0CSzX1ob4Eplwi7pCK1kISF9Q/QiCN1BXOU1+nXGEQAXhaM55AXAq5wLNEGg3Bv3rWKhQSOCJISOfBK5snb8Y7mnvSDN9nYP4cgCkI+RPphjAgQiHkhc9MGOBGW67UzV2MFXISHBBlcTX0yHukVUGXc1oberE3Efb3UKLzkzEJ5aQuw0IH8FikyegDVhzXQj/PAzMMZtwes1AekL2zDO4NGJtZXukXvxiZqBDj6IVkTc0Z4iI6+2I2dDXbifq4jQCQqEhUAjvVGWMZpLVJEZIM8v/Uiqe77bG3ZDptkgwiHI5CWsEWOS7hvTNYaWSBl66t/9xHNmYN7IyNkxxFKP+NkEIA1Rb7sg9NLZGUcxDk2IHJLegRzs3DpXHBZPx/S4//+nSSA/zXZ/lO9af1cW1FkHol03MJoS2kMFYiE/gZIASYuTOIdhKkMCRh4NotkAeLVKU6Yz3sxPsqPJxUtuG8KitoBcZWQjjwsYVXOa2vRhX2Mire2YCEQ343TQqrU2pbLHrw+PIcAvLxGhCdmkCIYIDZHYbK+5JoMyjnzViiVY+dxaKRhvgiIpzNmBi1a4cGNH8h5K56GcQAp4TX0aSyMkPHQjxAUufLKQMnzyC3dQ4SgrcIloxUhAXB+E2G+2hinMfN+7mM80pUQkTEgiepVpWLub/7AhYg9GyA6JHTqOi8EYlxSOQVZgqxENIAfUhaV0Lf5qPSLAugaSQENr++8ObEh0RXSomOSyNRYgLL1vMiVDu0QcRhs0T0QEL0gcsBmgwgIGUm51EOQhIIr22aPIkXjAnCpq5dzm/oHobwj20hrl45znmOiv8096ZJZQB8ajPyzbAIY6WM4VMmA4msOz0szFvkqxgV6ivPd4gAzpQG+6jCQMSqCxS2CxZZX+Uxh+tePBWU8wnULVI2OZxMtRBiK64TBGNo9hasW1Bjl2PozHvmjheCJGBwRhhsvj2isPFPA4TyWZggRnk8/PLUwEVEhqHgcY/V3DiwgD+J+PE0IQD/0gDB4O8BBHOavLY8DdIyNDow9whN53oFRA5VQnNEhVpEZ72X3RN3DmHky42NodI5YzFVqhrSRN1FctbPCu9N5nsFACMjSQ08+13XQD/3qGxEIjYGnjtecEALxcJc+EDjdMHJ6ADSkZO50Yh6IQj8eRDIuRARohB0ifPdGAHZsOB+RhjCdsEE5PtG/nJsNEvfUP3ugXw6LrQj/kcOWPlqhG5GFMdAtvSEjNsPG6c16In/9JXXQP0KzfmyDw4nEoeV7+65ftkXMdzUykwASQrhB/Tx1Q8ZMKLKKCYYxDZjSAAcYLWQqyADsWMJiSlfldi2C0Y8wTP+A5SWc5CV5BsRRxfVZaMd5Q4AAHAvmKTzCYADB2AAMWwvtASPg53kZHyMCVoUyKYFrgATzG099Okwu6sUDiGCMNeAfbtz/IxLSt1CYMSI4lXchsoUmiIZ3YTBCZe0VNkUfQn5Cb64Dcs/rMxChryjKfHh+RADovKpinnCagWa3AwEaoy1Ka0nv5mcvHHiRnpdIh/5EIfRmG06qgSzNh54QQ6IvfdC7KAYojclWpFRmoS8AVhFdIBfXAh9gWxPhNPAgLqBGaMnNeVoCqMBdRT/Ik924L+LRLwFccwY4Ybf+ANW7iIMNqKEQNmIdRQBIRORjHKIKuuXY6DfriwzpNsTJNpFDFfYe++Ss2NBYDaBeY71FjbMEVuOQ6+exaw4YO7jUsUoG9bOQdUwAA8gtIEOV8zAQuVJymlxXK7X2XincZDygwTCRhzBSmEiB0g2LJkSrntMiuVeEx0/uzeBTn8h5xuE5fcagnWgB8CJAA8QWDHnx1J6Z56l4OHNkbMYiH2agDJzBAgCDCNGlT++ApG7C8Lf0HkWko6iWfJYX5JEVR4Xs7mFudJFcVj8MlRdFhoxNH3TLaBXgGKd6h/UC0NQRFKSAmweSYiAOFXbe3XjNG6nQtb6tR0Jo96U3Hta9EKO1AkSkaC4ITd8iLf0jNdutUqO2eKo/wKJj6ZFirTQAAQjpPaKLtJFygOMatQVrJhUCoCrSFsf0R7++0yVBNNZQiG+eSJZdqqFI8RAt8nAde6N3ggSRA0eFqOkdEbKxCMdGZ8GHqIWNtgILbEg7Do6wmSlhA5H07Xv9nPPzvI8SQNhDB/XzPB0CZBVejYIYkb4svMWjQEqpom19Is+iAZt81WJZYAvNM+uHNwZY4HOPhH76ZMCVAOynxtvxBkBHhLRSAsI78ZbCZ+OzMBHkoppPhHip8jNMnlCOrS/eF0jkl65RWATWscXH+J7UAwrenPcU3QjNefPFxcXBIHlWugIghmYeogFCZ7y1eyMEALaLIMpBYKIgqYn7y4eBBVkAN4PVhi6E2p6zEDUIcxm9dsJ1YTFd8orIAsFlTxpRWleRA0+I7Bgjj6/QCGBIDKF5GlEx1Tq5RnrG81VBpkDq/tZCEY4uYivCaPdsBUkS88t6po30k9dHIO5njMYF5NIz4zJmEQFiZ19IEiCRG13Sc2w79Sj9s+WFPopBFnU70Dm6YksRZN8K+xVJ0A/yibhfK62u2vPt93mwOzMFmNXhVOdCzCq+84YRC8iLAyFQVwE6BkDkZRZFPsYDEP0wtIBTtABsQkDHKCg5OXBRIk9kcYzX/RxHFtiZ2DoyFmMCRAumbSUi7RgHMLuH62t0YGGBJMKwiCjDohpbm56oIwChaIRhCrN5WP2aOy8lrOZVpRXmom0MCtEAKsOmJ/dUIwF4YbMnCREFD8yjMeRqYNIhBi1CkM7Qm8/0L4yWIiC1CHLSJw9tPRCK7/r1HnGdsSIOQFP407fQOBEagAEp4gRw5CNCIcAOfKJFkZ7cne7cP6LO4B6JkhynP2KtEaWoA7h859mRBs9tLNbLOqotIBr2g+DMCeloY47shV3QK3uQziEIqVGEB3eMY9JXFQ4qKZrjIqOMK+2QhPSBDSblc06UYx7IIcKOxoS9sgFSP9e2U8dHI4B64TyfdR6pXtcxQEte5Luw0KQosU7YOQbDcxBGog0PW4UnoDCh2ULPvEJPhk2B6gC8Gg/qPhaQF9NWfzwBwDNEQGMc+hee++7e+iYVLBYyZKX/5HUZV/2TXozWPdzPIhoTDxJScI2xCb09Ucc7ZvGQI+NjaOap/oFsEAMDVkCLAD9yk1dKvXhfBg0wDFyBlMTYjVnuLuwWySAW62C+QnpV8OTxCED/VURZojhkZF38gMf8jN2zFhF92e+XRsivRTgiq+o1zYmd2G3RFpCRoMeerYEnLKVjwCF850TyK0/30Z+ophXgdc4cE45LmURswGRO1iY6Eo2wIeNBMMhI1KkfOz9ybSmdNZQiKLZKp9hLogFjoDsk1dozh1H1yGGJ1KogGhixvjVKRNz1Wtcg6EjFXI6t5H0yAohRLqdTimMUrVAWgGF3yrdAQGmxqggZGQXB3gyf501RkWdknPqrLCzsxcIAILdl3MYiTGc8vC1PaYEZgkUkCjg8Kk+tP0ajKssojJMAtHBe+kEYSmVlxyoAeG5tso8NiJib0TB2ImoRzSAW4W7CV+fMjTcBWDoCPMauz2ytMmJteD11Eo86255zLx5YqM8gRTtAhbyMH+ExSrlr5qBWwFsjQkAwF8ZI5/JvqQa98sjI1PoCp3sjVECxZWhPHxCItVPws7WlnWJjaxeICfCzRgjAGCuZIhHzN25z5o1DvuxCnm3MEQ9P8bIAW+stbBnhsDd6E+UgJMcBSfWel+fBjYutVuEwABcARUX0Y8dC+kDk7NZXnYP9KQ4T/bM7DoCNIaPsOAwNDv2HrkV3eaAK0YpaquOs7Zf7OfMcu26uCEAHkfo5x7xTSLvIOS/0MjkeXuimuJMQPG2818KO/oCzHuMBgZ1n4SkjwirsjGEZKRaX1yYd4Y3VBHhUSs0CIySEkAXDwAo9DA74CMNmJIwGEBl3lTbv81NOBqMdw+LN5c5efiXGoHl3HptxIBuGFzE/92do+mDMxitMl5MqFgq5/fSZHqUCQmZGCdT6lWMDJeJCjLwnMCEJuwcIyZy8AIbnZ8xABQDWyHdeDyHJ9+XMPKm6CNAxZs9M0L05i8SkB+oD0Zk+EOji4uJAcgBqHqIh40TwCNc1IhljrIJA6AZwkUN2mbRRA0LgEYSvvWN+fANQ0hNREp2KJJC8CMPYkY+1IPTIKQGeKKx6Wuc5JREm+xExWQ8kW4WtuZ81j0gP6NMcI0ln8927AiPsIHDESa8igKTDaWsunJTIMSKqi1Rs1s85P/a+o7seazVxrN5ENRRL8zxVLCAjZ8yAa6GENjV/S3vFmEiMKt+9U5K+GHZA6zgyARTGrEZAkTxwxIIBG0OohALkDNpCMQx5IW8JANkLV3QzN+AS3vKejAnRWIwapok8fBfCZjurjsN4LCIwAbMxCXN5aeGoY0CINHgKY0NsjFPakFTEGMzfC0lKeUQUfm2YtkgI6SA1QK9S1y3HjcVzDvFq6gaMC9FYN4VMYyWIAMgYLlDzjvJya6C2gHyEz8a1uc/vgd4aAZYtQ0CxlqILczFX79q1Yr0TBYhOeFLjIciJLulGf0gCwEQd7sXhuJ/oiW0BsL6spfUGsgCSk7BLIlpkP4kS3Me8zdUa2fWgK04tQp/6omdjqWJN4CJS7S/HjInj0SciMXZOAnlUkY7AkYhKnYdYH7/nWKnMFQHM23kFQ66puRrl8VQMw0RasaARRlLDQccVBLF49f6UK1yPx0YACd/TF1AJ0UQItZAi5dCWAQrLjdViC5NV1HkphiJ8RAQ8VHYajD+Gm/sAPiAyCGFyu50j/DR2IGEIMRYGJXT37hhvI5wGeIAmDBS5qk0gIOkM4R3dk+dAZIu9t0UaCFZhTa4OCMaU13Bh8w+jA9zahmElSuCthbKIgC4Agie3TkBqXjwokETo0byExfQvPaJzurNOdM1BqEkwavOXtlTh6Xl2XlqBU5QBnNIPKQHgIUJekV44GLoFbISKWHhUuxtICMAATQoA6LEb90RIaSOCqMK5GKd56xupxF7pSKRj3erOketFchxPhH4RUcR30bGxikbZN12xv0oACMKY6MtarZXsQADVW0x9nrp5ba+NSQFQRGjLY1FIwvCcE7oJ3SOMWqhWxcJRtHw0AoRyKB6IAvO3AHLeu7zRQgj/ASSif+GZ3M29PQzCY2ujeMWwLTQwiQrkwpkPz8Kbx4CEwsZnCw7QeZm2gMmDGad8l2Hrg0FJDVSZAdyWp89SmLqdJXznIYX7ahgepKFLJOGYUB9AAI4Bac+LMDBbY4Q3skazXjwsqURgPq6RryNRRACIAGtMIhbkqKovcqvi6Tx1GwUyhCI3dw96siZedEoXwMpBVDFH+TmCs86IxjwUURERYFgXpCdFRJQIApDoL7sL7s8BeWcP2gFw8u7cE6GKMJFpFWuTWg/iMV/3jyAfa9kWwUWVHF6iAMRl/OyJcJr06GUuSIkjcg9RjTWVdkiTEAy70scsqTisn8eu2YEAxhq1x2qnCXF5AkZTBdBr20wCm1NWFQCsHtMCYPcIpTAEC0QJEbkjg2IccjVRQ4plaWPRjSXhnuNCZB4b0BRceEnCCN2D90cOckJteBlgQwabNm0aah68ovAN8Hk2C4QI1Bs8ttsKolHbSIRCD6rqvKH81nxFKJv7sJk+8huEGDpwGytSEtUIf20zIU/fhbnCfv1Yi1TCrYFXzaED8LxnrMLMtHesnkegQO7+6gDmSo+8ErIxHxGSMRgn0Z/zdCiaQXz0S/RDANaaCe3VNKqBA4C1BV73RGbupfZi9wOQasHPvVOUMx7XRawtAgMuxAWU5mf9IiIE9tXapzVC1God0gR95AlE1xqXCAipsKsIG0Ji7IPw7GzZcykcIiciGqFz5GfNrL3rYMoYOabUHJBlIg/pV8T1S8lYmxURQL1RWBCDxRvmPEbjlYnCEKMwWSzpvQrAx1PxOM7XeoLJOq4dg4mICACcAKnF5B2qiERst8V7OydHTSohdxdaC1lTkRfKAX/+UpBcmhEwQsD0biFUyoWNjFkOigR4F+Oqv+pS7Vdt9yRXTUMyTlGByMY4GQwjE3LylIzcZwBnSDypHFwdQv0gT+EBBmHUZAzIFdBDo0P/yfG8j13vmPBa5KRWYn0JjyrioDv1EmsHiAAnXBWeM2oiNaqAAySEyOCtMTIX0bAntQUph3sqVIoK1Slc75iUpT56rX9pRSIvkRKQVeFVrRvHIY1K5JY2CMC9SU1p2QO7E82wF5+NW+oIqEiDDSEOYGUv0jm2wWkgdeI3Emoo1oZnRyJsR7iP+OgU6I1NyM8WQvrsG3kkPRGprlYOXG0HuV7oIiyywMIvArC8keKQSZgc5QOHXK1K3XeXIzOyylgAh70piRKyRcJDJFUQTloIHiNiMRFJbeecEFaRC4EhEF6KkSkgRRAJplYcitdyzvy0Y1whH+Gh+zB+9xIZqFmYt/GIfhgn4mFEDK3my8DNcOjFvYSh5qMSb068mkdoGZNrvQALcEQ+CINU8A8HyjHfq05zvr7neu9p6z3E4DNSYoQKhogL6IXSCMmOA1AiCKkI4iLCXvm9UBmInQMWBi6SolN5NsNnJ9aZLVlbxC2qcl4UF53rVz3Bbk6ezHQsApj5uXeOGb976UO/PK65JBqxfmyZ0HHEmiIg1yMNRGKtELEQX38cjTlZI0VU89jQpyeISsShPfvXD/2ISpGE9XYvDtT9rTeCgR0k5FqORoqjuMy21kq2d8Mr7JVxUopiTyICXTEIk0IAwGJS2lEEcoiYEE8QoeR4sxxDEOoGvGE8CCDpJ788c7+2CGNMQjNSw0HhOMAC2kKf6xOGHUkohhSMRY5ZRe2htpcyGJ+QWH88macDecDNPfu7XgRgriIFhOMpOTpRTFMYYoTAwAgioghtpT9IREhtvtoxLHOYAn9Aqy869YrkXN5zvLar53KtY8RWJBJGovJsgGWwwnx61l7UF0FSbADAgQVg5fVCfp5ehMC4RUBARVfsyhylmQAoYjP3hNP6BjCO4f+puxfrOJIkS8O7c0YQjiYQBaJAFIpCUSjKxoepv/u2dyQeLLCq184BMzIeHu72uHbNIgCuyND8zjEAs6JXgoGxKTbJHuyTP0pOsQbbekoAS0a3dllfsLKVTG2/wJcA+DnGCwT4ODu6Bx8T8MYyd/cHEoGOc9iRL2AMfAbQuY/vQBCrMQYdLADu2n5l+5YBZGQD7vajG+jgCkoIr+OKEsp6gsjiOIPAJzX/GAbSocuCMaU7xwse0HuFciiXMmURwnDqvIQhUM8VdZVgdR+IS9SPHBEdh+SOcyyGFpyEcc3vkXCOlTKz+Zw9CKWN8zm0rK0xZg10olH17QIMpYaMwXlqcgIvbIeuUE3jWI/gMe+yhnlkpzNQ+77n7Lzb7nrfXdN19vtp337nmGh+DAfgcXq2E/xKqARTUa5Yt2wO0AUEv8HGAIc+BsBlA2tbAeLsIwjU0SuVme3rqYHv5qix6nctBBMgFqjuL5DMC2BYgzlscpKdAR2gZz/2AnTYi6ytfhfEkg67AB1+KmvrZzw/P7/6HF9yjYZg4AAE+DL7GpvO6M62Y9ZgzeZPF9gjwbYAL8DSE3pLsptzdnuv+a/98t62QZLdlu0snALQIbSXciiCctQusjPjqd1QL0rhCBgDxTBOokcgoKrZOQbqRIxFiQTApBjfKSuA8Z04l5LRPhkXbeWET1d20M02b8HEgEutrEngcYI72UcxDKHU4FQy877261oOiuJ7oUbwalR6yqDn8PPK7u6j88/41Y6uoxvrAXScAgX05p+GJd3Ylj05Etmg3e+2114F8/npPHKeu/t6TwD1BtoBgEwtS+mTyOL8QA0uwAidyF7WyrYCyNMDdbA3JDEnduAX9QteL/zjH3qyny/wF2ViouEqqAmfkwiMY39AqZTjn2whEZgDNsDuxqN3ejY/vkqcw658QZ+FD/EXtuBrgt86lCoSD2ByjL8BewnEcUAuwJVG7KVPxNbEPk1M5bOx2QQI0SMWIDHxnQQ4SmaVVvavvXa7a976vGUAb11wd4wDMjSlyGaUzjkowEIsWCAKGkHiGARDp6q3KE6XGlICCmjIaM5RHlAOZsFQxjCejOmeCSrIgOiY7GPbeEoF7ETNLfhzCn0FbIOBlBaYTELBDK45w6Gcl5gTx0nQf84Amevcd8wn/XB065NtvLzBEa3Ltk9Oo2dgroysOQR8ZEn7rF3AW4+5YQmciwCdU04wcLx9nZuztL9P+/eY/X33AgoGhe7bz05swxYJHQsIrEbQY1t0yx8EqsDX6OMXKwINOxKIGARfSqxfKcCmygGlUfaSBACOMfmM/QCKT2IYWKh7u44flMkFOF9AvzEDCUEpxr+IZCOB1VTkv84XmHxH0qID4yspzBEwA5Cl6cDPfWsw8yV9B1me0JEEJwaMy7eX2b6edPxzMqTj8Ie/fgkAQDsTR+UYHcJCNOjFYTkHRQpsRrBAyhc0UUaGgpKomKxnDIgN0e13LoWrDynT2MZy38SYHNVjGI5QPS6zmwMAoHwvpHAuj6awDQHOuMbn2DKHssQze/cVYMClZ7xAS4MuiaLpYjumXs+JnCPwZSRIbt6EQ0J+lJdjc2KOAv05meDgEMDAG4h05nxlwLlu423w+n7KW8cLbtc4z8/uayz79jjgFCSe4dNpAYkBYljAH7BhOhpfhD3pi52VP/TIBwjGAyhRcTpno8R1GBw7sjnwUxIIJADKJ/ihX2lG0wWz+fIlScIjXH7EL/gh/fIvdpBR/cjg5uoJAaDhT/uI0TgC26NOiYitAHn3sQ4+wo8WAFy37xtYX4mv9SkZrIGdgRdAcP87sQZr+Qr5EgAwEQb1jJgSGQBVg4xEEOngMiJ0hLiyBFCgNN1tjoUeU4DSAL3XTGIoAcDIaBOHYjSK9p3hEpko5+BkruEwgs/5HJPiZXaOUUBjJM2ZkwEZRvBjvlBdVgISxlePC8xEhvZ8m9GNs8HvnICGw8sUdJUIHmuV8VF7jIB4Ky2ax9HMW/ADRmszH7KB2jZd7rFH319Pmn9c72eD/NF3l7EhAXAcUhZ9ugLfGj0dEERsuc4uw3orz7kYDbDm/IIRO+L0fMJ9BTGmZWwMDSAAZoBOx66RPemT7pVYzgGQ9Akk+IokxHZ++BwfAjQyubkCXuMqW7ET9vLYlo3NLeE3/IEP8B0+ZB6AGtg5Tnfu456JEtGcEucCrhUlIeZKV1hnJcKe07ayxBy+Qr4MACxaTUUKTuhIBHEoT0kUr+a1TRidkxfMKLZrokhAwSMy41J2VMuYnWMcCApsBDEloYkUCgiM4Xz7ZXmOkkBz56B6DMqxORcAQxdldKgNKIwJUMwP2Hkjz3dOZUwA4FGYl3SIbCJAzF2tyJE5LMaDeaiXrV2wxA5cx7FdS4cckc48/0dz/RFLNelbIoDIW8F/nuNc+/zcgcDeDzuyLiKoNPg4uaD7edXr9IEdsI+1JtaFCnu0BfAkCnZjV7ombKUupxc6EwzYAd0KdPuVEt490FMStJ6OaOZiT3StcQfwgQXATPQsAIvyCrDwWQHHfxMMwfzYH4tM3F/2xRIwSSVfzMY5gtJa+aD1JIDbNSuVb+0DJnQO4CXIM4l0nk+9IABzV27ueR/Z/jIAMOkVNX5NNUamUBkV4nKCgt81up0chsjYgqt37u0T8IzuGGqEalK+OnEVLRMzqEBH2SlV0HJMtMwLGAUd50wEJKfldBxHdkJpBZ/9UJ9T+RHs5oHNAAZA4c9UGZ8TMaCs7u08hjc/wMLgzsVSjCHjAD5r92iIE25Q61wDB7W+9QI1GYJDWo8xkoLc993u+Bnofb877voFgc7x2THbAj4A8HhS7a4xJ+BlOA1AwUpndIjl0Cdb8gPH6It9fFqjHgAdETZUFgWKdMgnALWyQQYvYUgmsrgSr8wI6J+vLjzApUslAMHmALd7Yhf8tteFHQci1glI+PDqShB7L8P9MFrH+WViLca0H9PxKJPwOSVxwr/50PavgBxA5IPb2JYM18eNseyiMX/183+Lr1+9eq5L8e0SYFFdhvfjHOhYadC5DNk+oCHIt/aChhnbMYYVCBolDJpA9b2OUhlTBuCIMgvDodeMIAMYj+EEeTSNU3AQQckBGEqm8WN8YwAK2QRFVHvKgpUuXvZBbTUiGZSzcmzncDCPCYHEj4vGayBySEZFm2UZ8xEA3y5GATz9PUQAIAisvTWvc6aD/bT2pO2u8X1/nLfHzuv6fn7KwkT2Fpz0QV81ATEnDkyfaC6dW6fGIIB+eXl5fWmGntgemAKDAHXvBzRdF5jmE84R6OuDzqND/ibpJHzEj/EJm2NaUXLgBSzYns+yT2L+XgdWIgAx50psCSbDn9i739ZzTEmJOSZYwgKC/ZiqJAi4ljEBot8pXwYA5yS9RUdhRIBAco6L6uZoXQMhBSWRQRhk60ZsgXFl922+cawyocBhdDVfwvgUCKU5pYBiOE03zmM+HFKGcr3jiTmZs6ziWmvgsIIX/UPJifE0eIAdgMAePOuXuTkSkHIcM5DxgYAxBIGMZl16H5xV48talShoqL4ChiBb0Jl7KgcAwSmr090+z/M9MNhjd/v2+I65255SEE7L5gWWebMh3Vqb9/bpx2Mw+lEXWzdWRviKt92sX29ARj+dXxkosGRImXGlV7bbJ/tiaQLKfRIMTPnAD+nY3NT77BuwyvSSBXDYDG+Mzb6uXzEvc7aGpfD8asGJH0lAK/xI4lF+7hOA9LnnfuX2lwGAADolBVmcugVKo+mn8fzJ512oOgu9TozNwbzWqWGYUKpARbs05gAHFE44IUDYRy6OAQqOBwQYVFBqTO1LRGUXc98/R+V680swHRncWgGG7LUCEGQNrMB8BL2nAT45Wm+xCW6vy3JIY/642IEaz2/XcXr7ZAidbwDxUdlg3W3X+363r7HPY+2/+6RHehZgxHqUadXsXaP+ZiMgijXImKd4p4BuUOkV9bYEwKb0sUJfKxiXOWEedJ8Af+AAsNkdUGNr1lqvAPhgI0BbGZfws1iafeZvjQm78gMlgn5NAtj2LVT7zx4A0MAusYvzWOP0icF8lXwZAKDYb4kFyjLOCxg6f7O2fYBix7PNGTgYIyQQmyPI9MDAd/2FxHWQmDMuArt/IKRMgLgcYLOg+T4SRlrBRACF+1XKdJyjATjPqQU3allmAwJ1mTGR5uQ85UWCFXFE1FJzUXPrP02sU8AF8D7pHJDaTmTlAk2WxRASQcfGmrIy9NLrzpGp+cLayjHl14pyJBGo6RabkmzMgc3p+hTMxX7ML0BzjrkDFsnGOcoza0jK/vxhE5rjfHTlLmG6RixIdtb/SPjKZ8D50Tj2//vq3zr7k8cEcoJ2yQZq9zPgobpFEfUvqrhvP0FECvdLH0v1IHQNE+iJaq1B0T9OicavQ8gKsrLmEGM678eVQQRqov4jHOf8s1/bNHIOB+dY5l5JYj8BPrKZenGd3TH3NA964uzrFL57LOaYzA+0NMnU1B5XfVQ2UHbb9b7f7Wvs81j77z5lJZkdO/J+vwahoAQCAFaDUy0MxPptTbrFaGRcf7iELTi+jr5gE7grxlRK6NcAgQVCdb7GbWJsekPj9SkEJfHr097z4E/qcHP0+wwYasJmxsM4epPRMUDMlpgoPzPG2tS4/AYrpYPE6/EnQJ3gxm+cw7b0WDly6sCYXiz7jG2ax93nb+swWIwGSn8okkGhpQx4itqHI+gDcBAAUZZwLmR1rWwtOyT2QUvISfEAYQWoCEwOs3WzZ8SMCJAcMw5KKrskqKH5A5hef+0YSqcbnHAuL8XI/stcHOckjGveMj6H8ShPRn96enr98exf7eeesR9/M5/uZEXnyqQ+UUm0mSN7SpDjcoiywm43x/082Y5jXbvn7fY63G53jkeTngJoWCqJfHp0Rx/AC6ADaExIMuDgfolJEOqYAwnsju2xKbZmP3qlG9cAUWMJHkkiJqX0Mx79EDoTgGyMAQIWjVtiXPpjEyDh6QTbACoAbL7uax7WuYmDL7m/cwCAc+xTzwt6XXx9HmMDscT7H1u2KW/PDK+/QRfsTxd8kogj6xcjv0N+GwBw2FWeQArhTgqt+YVCEllOhlWX9au5aJesrXaT0RP3kE3U0ZxDs+379+//5/n5+fUUxtY5Fsg1mxyQWb1kg95BXCAC7XuPwTmMpiZnZJlmrwcAiawPtJQeAvYsAYzPIWVIjstpZRfB4h7qUGDH8JiE/RxArer5tiCnR/PwCM2nH2LtbwXuBnrbgcPddQX2Htvt1ryfXaNh6ZersuPLy8trA82jS3bp6YzshToLaOfqvbAd8JVtrRf1FuAA2uNUIEAn2CNApUdgYmz25hMCynv13qxkV0GugScxCD7Z2ZiE38QUZVj3ca3AFtCeSFiXa1uP63TyjQVwJBRBaW2Yhr4S4DCe+2v0JRgm/5cEzRVLOksC4/IBYOJaejeWhCGx/X8HAGiUnwQa+/VPwYhGlbkclxV6Zuq7OtCz5QCgZ8cCdJsuAty5DF1XlUECAErmKAzjV0170oB2o/XuQdkUr5dQRnGu4JSFXSvbBwAoJQcWrBzKL6gwksd05oAmQn8ILluYIwd3H0gu02iE6XRbM1bgPQDnGy8nlUEBZn9AhPM5T0YDNjKqvy5EOGClEMcpKF8PXv/4bn/HOu476bvtu332k47ZXgrr3mdQyeIC1/sC1pjQMx2i8AJOMqhxKigxRLpgc38MpECRXc0TSxAsvmuQAnK2lM0FF3A0DqBhC+AqeICLa6zBHOw3D+e6VlACZvcGuMDG9bI1xobVAHPz4y+u8cPmEoTHu77zIf0joJIAEtfzc8kO4wD8iQThWnMHdNZhbtYJyMzHGAG/7/TzFfJlDMACqrMeTQyaWpQFr6BNFppwJj+JrjDnR+UoWx1MIKrXj3Vc+wOii7ycRdAxCvDxckqv2src5mLOob5PBvA7De4HCNxDiYEhoHkcg/LRPI4ADBxzL4An08kGRAbHDjAO6+OI5gIQPA5zjSymtgUMKHGPOT1C1PvgcOblCYJyRcBYgzfkAgDjnnIX9JzfTwHfZ9cW4O0/v3eeT0GUAD8Uli7st2ZOKksKhBzX+Si3DCkAJYWC3zFPYegDQPq114LfMc1S7wgADUnAON7FIE9XKUWvej2uwRIENjBFq9mD7viCOTnX/IAQ/QpYScScrF0pAGSVhXwV+FoHn5S43EPfonWas6AG9uwEFNibr/IZScSYWKBsLrjNUaLgf2p+67E2SUM5wzeM4TpzNxZ92bYeTPkr5EsAwKLQFQh6iuwEHS2eczCKIFspSO2jGA7tUUrCMGi+bOt4TsyI0JLIFqhbzRP7GIbjOOfbxQQACZF9Gfr5KhV8av4xEjbR3CjfmhiFwwpuDsExGNj5nAKrkOkYjAMwDgCpuy8Tmbv61Nw4j/US6wA0GIT6X5ZIjIm2anrSoW3Z1CNJ66ZTIpNgVcRajJl+3vr+esHNP64hxiCPvu8x7yZo0GJfgpOTshkAxPYEIRFMej0vV3mgZyAjAk86JcA2UJNQTqFTuhIwJQHnKA8Bs3sLTEFFn/QGmDAUbJJfGVdJKfiVfgLOdWwEcNnPmoG7+QJ/ZZ0MzM+BhwDGAAW9MaxVUuArxnAun8EegKLx+BL/+Hb5oWDmx8pTwM9+xjMPYFmJ4958RrICiliVxrH1uv4r5EueAqCpZ1PD5DiprI16+ZSdGYZyVqI89lEOZcp6KxbPUaCwPzxhTEZkBI4D2TmWwE04m3t5Ps8Ppj1zAABAAElEQVQpGIERKVagM75g7WWf0BdAeMefsTXd1KQC2Nt77i07M4yARRM5lQziRyDI+CtAD00tEDrGMQCJcTkrMABaRG0s4wkqwKYEAaIcRhmgR+C3DzksOQP2def8s8fd10/S9/Z1bsf7fOs4gCoI6UhXn+PSBTsAAuvUJ2FbthAcAa57oN/6K0BT4J7CzspAgSTQEi8jafIJRAysXwUXKEAdQ6Av9uJHbEfv9Ir66zOo62VbwUvHGARfYV+28/QB8Js7cOB7ansMQqlozdiMY/ycLtwP27N2Psd3ATYmjPXSp8RBD3RVwGMDvpuPtbovHfp1cX4vidwBZPr4zOeXAICGjoWs+K6hAxgYlnEoVHaQ3Sg/ke0zOGUxnDFX0DSOr1mECfgLLxCachiNUDbDOF4H2j60jFN7X92jKFQKlWMEDsEwxmFM8wQazpfhZRrnMqjvxLkcK+kNOOPITua/wllRNsY3vxXZxJplEkY1P/pBqwEhwKQrWcy4QCDp6USB2X6fBbFjHbev/c7ZY13T8T3WPuckO6a6VhDQJxDloOwv63Juv80p0NgemMp0zuHk3gDU65AB1dqav77T9wrHF7hAlgjMxJinAF2JpSDtuD8+AnyAOzsLdNvGZhtzkiwkG3OUIOhdImBfwfvtyuKxOLaVQNiXnykrAQD2o0/jrU/H2NKc2BOb1BexRj7N76yBX/EHgS8RShhYhfuLIcAgwZmfhPEV8qkSgNFzht1G7dEkhoPeRCa0CIgtOzsOABiSkinKr2+iXkTgQHgBrpRAi2QR5wh0igcKHErAUww0No+tRxlTA8+47mu+DE25ajlAwziC0bUUDmUht6zAGDKvbjyn1V/wNl+OZ64CVlZJBCLjcAqvle6fwuocgAEQjS8bcTysCJ1XS1ZPcgjgpSstO8ryyhtORTeedQsuayECr7cjrdWask3fndc+29nQ9p04N+nc9vXdcRmds5qn8sq8y6r0DKzoiggm5Qy7sKf6l53pgZ3tNza9AhIAv41ifsNGfgSA3k8ioE9xTsL+Cf0LHvcDIsC70lCjUGMYiPFX/iXoEyBhHUpBLMG5AjthS2vgK0obIqHoF5ljunAOALBWCYjf8U/X+8639Z+Ahacr9AQ06dZ5dEYfSbbxfbc7/tbnLQPYQXb70UAyqizepGQzdTV6LlgpEYpZOKU6zuGhfeI81FuQOJeS0R4BSIH2AQ0gAgygKSOucY3tOoH/fNX3XgAR4JQpAIEDZGeMHFdQMQyDxzoYVwZ2nnrRvKuzm6/rVswVOKnNBO0pniT47UX38HjRutyDztyfoTEANNDxqDGH0yR0TBf651UDe0xqH3AFZCQ7mev5ffc5r3NfT/zjn/Z3zDV7ndPO7xqRqK+AUs9jXsCQ/oG8gOk1XCDLgTk5HWBjnnRYO+e2n67ZB5BiBMR1ygvBgObTw76w5RxBtqJeTvhMSck+Tw74CRAW+IDVmERQmoMgI8BmxfsKbACAnYOVAhAC1OhBphbQK95JkOASYwQQQEiAWwNfJeYEBDBOx8QXNiFxYYL8GNi+J9nSebu9190CwJ7wkW00i6hHKVCwUAShXMFGKYJcoP3P1YyhPFlAcDtu0epdjmSBFmofysORNEfQJArzmqxa0adgTYCDAOKA6B+KRYFQnzEFC8VxOL+T7nwi2KAqoEhkIXU4NKc8wLJiXfuWmO684I+mYT8r1gzcdLcZmp4Et64/B1UqCXy/KGMuCUfR2FKn+lSryozOd63n3tHBjLyBuvvab2z796f7OafzOu7Y7vP95eq36Fl4ctFfTqIDQMfObLA6Y1e2AapqY/aVPTEdtTNwlESA+reLYvMBvRYAgZqj4LKjpAIsE4wIKCqbEsFD7HdtTyH4AB3TOzDhT/TZH9dkcw1N/kj4zorrMRtrcZ35By78my8Dh3TetXxomYQ1VE46x335uZjhG0BQggBS/FiZIW4AAT/yU8ncPX7181MlwKObQHOvU1K2TjUaC7EFOccRLEBCFuYUDAJBKUZQQHwLZBhGEfACm/Nzck6hmSTrWjxHQ7M5TI/1zI2iBIbgSpyPDmIQMlBCydVdrqF4zmmu0UcOlKHa1/UQGfUGEkQtq7MNtDiqgAUC2IptaxUwnIazAx9OI4sTQeG78wVQTmvtdMaBOJbvHpdxGvq0ZmsEPIDNOQVxjtg+9ymQbb8lXeucrpHN9VQ0SDmrNbCzYDAXjVJ6pFd/BpyOrN0jWAFtnliC9WzZZgxJQ7BjTwIfUHrMB2Dci/8IMD7WtQJSjf39+/d/7DNfJRvxRCGG5LtXvyUdT24EnB+/cGVeiSQGgIhSIFHeEswzWr/H2Yvv+OFbK3oEvYlo/9nf4C/8ht2Bv/M1fY0lFlbYeMuOPfYr2/9MNb9y9XUN9IZ6xGQ92kD/ICPDCmrBjMqhyJyGc8kAruXQEJeDM5zajlMTweE4oSTj+yko7aP46BXAASSeva5AXHNgOA5IOJvrzR0D4AQMv4HuHA0swtlWOCVnTKxLGaAulKndUxDo6vsNsqenp1fKr6loLuZZ8BtDANhPZHS0sZeVvDCEEjO8skm2U0LRk0aR/4QCAPT0oeANCIxp3/7Yt7LHHl3v3QX9EQKorM25bPDjejyF2gt+QSvYnCtr0TM7Ch5zyqZ7f4GqSaiEEPyJBCBggTe/oicAb60SD7+pdHONfoLyiGjKbamGqeQz9M9f8iUAjY0oybCNU/RrBLFjfKVHnZ0H1NjD+vs1+I5JVLEWfnH+/4nG5XvmIC566Yxe+dnKgg7w+4wE5HvNLwHADgThSR15i4BSgrkup+xL4eo82VawMAQHgXacxGJlNUjoOoZxTQL11XNARLMwURIYM1EayEIrMnsg5T4rUBbqUiwKL4ATjShjAxhBub+iLHtYs/rUtgCVmQEFHXBaj6fUjdblUalAPuvX7iUANB5lKNsCC2D57T9ZSq3pCYFMC3j88Uu/DwBwBQeQoTfHrMf1OX9AoJmYOL4/7ae/zrevc2yzl0zs0xoBggB0H+wGuAIF9sVoCFaEEdIl0BKs2KJGLbZIH+xqXbKvz1MEgTIO+NOl3g7/UrPzETajB/6l/s/GdCHxeLqAzam9jYXaAzD2xjIxGwyFH/I/158+hPZbE38DAPpYtleMaTzlT8JvXGuuhE2XldjHXsoWui747ed7fGvFGhP6SzYm2/eRz38DgB3o0fbdwJCZsmUpgUAZFuO7YIZsFgrFLYqSC3D7KbeXW4wvS3CkFV1lAVbGd0yW3kbgtwtJTwaAjVAwg7tXAkxkfPvRS8Di6UU9DedZk6YRgChDG59DMwY6rBnmWiDDQaPC+8jOWLLZWbtZI/DQ/1A/M6r/jAJoLljIIJ5FAxL34rAynMdUWEAv0GAzjtsvmDaAgVXB/egTnSZ7nUaf82Uu2QrjEGh0I3gEv9LA/QDT/mkzWdUf5ACWbACs+ISXXYCajCnYzNk999egzcMx4wMPzMr92ZwAIaAHtAQYfbuH5CJjY2R8jD2Va0CSX7o/GwIUNf/T09PreLYFNgYT5X89cP2DdblXDBGzXUAFQPwo8Ok6tbwSKTGuta64pyTFduaXmB+AXaGH832SPW77M3H7z2g4R/nkd5NS+0BHCyGUAXFR/JoZtgXxSW0YdYMD4jPgisXrHQhIxieCALonDMv4KzIQ5BWgxkg8SpN10GfAwNnQy5p77sFgXjP2hEITixNiAugsB5CJUFHnmIfzjWOeGk4rMqX7cLCE48iGxnC9Z8QCy35gsvRW30PTz9jKK0DLwZuvMYGJ8TiO8VBiUkD7vBMAfp4jUAQ6gJPJrJ8OMQ8AxYY5qCAExB7bVi7p73iU6lp6MxcgKOAEql6IJyHWjuVgkxsA5gl03dPcgMc+YaEjYIlREIEuuwN8dFwPAUABGc1f9N54EhKbo+1YVZSfjTFCTCGwfx34+odP96vo9O8n4Y/WJomcwcnegCUBZmJhxaNjICBe2CzBpM84UbboqXyV/KkmoOZd2ZjS/GIG51+BRige9GQYQc3BNxN3vv0JIy0g2M/poaJrZcBEJk84C2VyjmiXY+bB6faXWFA+IGDuSoxvF3vgRJzArwxzXk7vu+wJLMq60T/0rlpeze48OhAIhHMEiL67HtoDF2vgsDK/NfWbbLIMKgoAGDwxD8FEh71rINtaJzbi6YASwpzogQAhPwDKfoH4CAScz04ydtmNLgWJe2rOAThsrT/VLvCJABCM7IYdAQZrMA/bEgP92ZfQF5voi7jP+WgrBiMZGJ8ejZMAoRUAZI5AFEtpDXTIrgCNviUDY/ue8Bfzcy5fiZ06DqjoJVAQgHw6MTZbYnMnA7A2rDcR1Ke43nWawPzlLcEEe2rhPD7yZ+RDDGAdZrc1NBJZVz3vZ4Xx0SWK9Roo0LDYDeDORyMTRtzAsV9QMnoZpnMFr8AjQEL3We25ogRRm3GSGIJ5CEbZgpNxDvRRN1b9KPhRUrTTOQFIXV5sg9OgloltRuRQatXNFM7REFI2eKbrCQbnErjORe9lLU4sS8hcAC8BDALeI0wliScQrg9AODa2Y14cthJEcCm7rJtz+xHQaHnffVqLt9bqsruvR6PsYM7qew06Tg0s2Z/z6gV4IQkoshtgRYfNC2AAN/rY4DcfQKnMAcquMX+6xjrcTyMUwMiqnqgAyBXlxQpQ9ENnGoH1c8xftqdPepMw2B0glrD4pwQkQNmXDxD2k4iqza2Z7nYtbMUvrRMrW+EL+QuAYOdTzFlcmVv3Oc/pu/tgL4mkkGxs7nbH7z4fAsBHB2jQmhOhZPsptAwp+3FMoHAHABxrZdHefg7CmNB3+wMUyJmjT+j5+RzePDgBg4eyAoSjQVGBb14MjxEoVcyVQZQNwOLpoq4cVU3HKYzHCXct6KRg4rQaeDIiR0uUAcCk/gGH8rQgtkJ/5sKROESZaKmlDCwjCkbB8/Ly8hqMrqUX6/A+gbn6rhmpLEC3Ew4PgHZu7CRbyeBldGN5WoPRyJpsYF6CjD2tA2h4NJsIbroyT/0QfxGHLTdrclwAS3/m5TiKrxTwBMHzfXMH3FgL4N6A3yzovpiG+RFABpACDGAFvLFV3Xu+wfbGxagIUHAPLFWQ6UcpSbAaulKiYm3mSEdL6+2zZnZ7vl5AS5RKP66nI/m1e0s0p/BpPskH+Nx7Yv6fyfxvxfJ/v3ezjxzn8N1EDSoAE1l1haEZ6wQK5+igcowaLcYUIBwtgb4CSH2pNiWyDgWmXAErC644R53L4BzEtX67DOoztgDnJBwe6jMWY3AGQatJZ3wsgvObQ7LOYJ9akR7cp9reIxsOb93qUgEp2xuf452iHu0ewAgwCfhlG5xVhlU3W5+My8npkD7MGwBpYAHJ1SMn/n41/KxJ5oqaos3AjZ45Mx0517YGJdsCDXqwPjrSgARCBFAoOazVL2EJZGzAejR2gQB2pTNPj5zfvBPXCiSAZ96yNv1gSdaTZPu+C0I2NL559XsSjmMU9EOPAIuOsBVvVAIpAvSVBHTER9Te5gYYJAHMirgHQDAecV9Pb7BS3f1NWgLVWhIM1rVnTGBBGEk2cL7HnMbqvvbRSaUnwPmMiNE7ecgA7k7eQXZ7zy277r6t7RlIYFPu3SK2wYFmLeobU1ZQK1Fu2YuzQXSORczB/GTBBHq750mhOJxMzin8OAcA/fz58x/z4+wML+AYlCOtcOzopv2cEyhoCnEkGVPjUNB7/dQxf5vAMQ0gDgZgEkENlDQAZTLBI0jNkxOZJ0HVvTdhzig23ZkbHcW6/EVhWchbZUqxxDWcHX2lO4BKjwLafOmXzoggxHoEs0/rohMUnTPTV48rPamgY3rSnFRCKVV0vo2JgcnUbI9ZlDial0/zwl4EvXnSp7KIaNK6r4AB0ol7CkBrPMsu8xU47KcENUd/FAZLIfTcS1kYDlv3DgMfBJ6JQKdjvwCloeeXiwQrXW0AO98aFhDYFKNZ8V6HR8V0UtnhuLWduukdlr3e9sbibp/n3X2/BYAdZLfvBjj3Qf1TtpPJcIzIETjeKb1XYL96kNK2cadBJUuj/JA9YTjOzulscyINMbW2jKv+peCewcpmgk7d7Z10gUDhjA9AGMA4iYZVL5jIuOrqFY4nEySYizHMFQXUvKmL7BwUDs1XghC9C/PjiH7JRrD4jo6bF3DrkdbpGILW0wgBRWd6BD1OAx6yiIB0vUDHCtjEPbAK95GF9U3oFNAAJXPBOLCXrgUAjqH9iXup1YEOMJRNgQWwEzxYhPUDVbRcDUt/3y8GsjppPBlfoDkH2LET+2BMfsMQQKLLMQKN3MoLvSAAmPATWRqj4XP0AAz3aQPGyM8BH/B4HhrveyzBfdzb3AQjENcjATDm7Ie+MSbb367SA+PQTKZjNtqGNdAAHvRsbj6TSpG++7Rv33nZY3fbH4ndWwC4G2z3rQPutuYb53pLZD/Ox7Bb13aNbBN9Z3SAso0OFBP9srhtxMhCkBwAmAOqim6j4rIP+o/ayigMLWOjoeYPZNTxApWRZDf3WKrGgTi0QDT+Pk40d8HOOco+gAb4+G6tdedbZ5/AMGQHPhxTEMseHEwAcVhBqUSRZWTqdXJjyWgcxO+MCwbsxxqwL/sBIIZgbIAhA9OFbKYkwzAAmIylUal2dw/OW22qmWWdACDhxN6doDtzxwQAp/vUZQcKeiN6Dmp3egKMsZTG6tOalSYShPXqYfAbIMlngGv6V8frGbChjEzfMnyCztOd8axVXQ7Q9vFqGZy/Oc9nQpfmwd+UFjFYQd/jY3pkG8Gpd6K0AMJ0AwyAOPtjH/ohGqfEGuiInfhqAWsNJ1NwPsaCLSQbe7vd8Y98vgkAO+huPxp469NH5wgMDiQbUCBFrkD5mlUUxalq1HQeFOe0aJ8soRPOMUJXDstZ1NCulzUYRTaA3v2BENlHTcZwnERW46j2u4dHScs+3K9HVZx6GQyjWYvsIWA5hWypvpMFHD8povXIrDKZcxNz3efdQNG99EjUzeZm3r2ZyOkAiSAWfNbhR1Z3T0ELVH0HXup1gMjxBQTH81KOeTjfuRxVUMl+6DeAtWZ+4JEiQDFH2R5oestRrU9/wHXLPsEhqJUvfmQ65dtpe+s3V9mSPrCjOuiOma9x2aHGq3sBLecBFnpJZFW+A2zc3zsIkhTfkISsGyP1iY05D3NM0Hw6ANDWjcmwI4AE0OYBxCQK4ALAXc8Wko1r7DM+wJU8+D0glpicJ9DpHBA41/gb5M2lz7P52f793Fjd7T2n7T/VBOQQgopY5Hs366YyksBgaMGxdRJlQk7ZB2LK/hpp3y46RfGEoSCmJpH7ek6NztpGNXWkOYO6WMAwFhHMAkltaTwGZoDz0Y0gMT7Kx1FRVcLB0WSPOjmi+g0qc3pIz7nNXTb0SNOPR2dAR4BY0/7Pwa+DXv/IBF5SUXduN73jnMZaOQZn4cAcyDwBJoaDtUSJXQcMOCUnBUquQ//di92Ikgll1ukGWkoIIgsKeiyKrlewLuMYG5AAWCAA8JRO7CDb0bns7F5lVK9Hu78AsI1VAR6A4npBKcvSE1DXed/HZnRLF4kA4hP8iS+5d41T59C9HzpgJzZwj4Q9zdFa2Yr9tiRRHqrN6VoyMjfrNV/39rYlPzEmkPOmpG16BGTKAPfmx3SjFAOobAl4ADsbVnoAASAnyUiUgZEYACCSBV/i518lnwaADXSZ8y7oGQOarUB9yiOciDEFUY27PRdqy+yUg6560wul5ai9UyAIKEUHWmADEQalePeG1hysLGl81E8dzyicyyuunHG70AzDuTmt8+q6up4hXafxwwH0KxjMetTBmlXut+8goNWCAXV0PaZBAAYHIABFxuCAAoZDyOQC0SNCTug+ApJjaCY6j/PSIQfBiGRF27I18fqr9SW9oyHDR5OBJ7EPFSWCsf9PDzABD4AimKxDh90+zg5klTgYh4zLnoJC9ubAQIKwKT3Qv8YnECbKJGUd4LZmGVzACbZ1dLbSr1hRCrAHkAfSGIVAs1/fgP31WmRpwWitEgyGSIAbgFfaybx8bsU8gIuxJAn2Uo4QNufT5qgkM7fAhU34Nz+0LuIYn3QunZmnfebgk1/wOT5l7foWAYAeFoBurNcB//hndbTbj87Z/bYflgA72G6fA/i+IAChLVwgrsi2nJMwGJAQRBxMnbmC/skApF/3VS5o3KGsxqY4qGubw6mz/Bgz0UFnwAUBvxEGiGRpGZNjJ0oPxmAIlDFqblxBSDgip+Jk2APH4twFZ4+rBHiiPueg9jG8F2dkFGtncOMJdIEgy8vKQM1alAMCFzPwo3yRpdToaLjsD6SAhWwo+JVD1i7b7NqbD/r/ngAEDUGvLSsHgD3d0IsShN5kQHP1HSCh4Z7ayIQAwhrpzrzpyjHBV/CbgyzrOjowL2AsA7Jz4t6VNu3zCTSNyw+AooB0rqAGjsZTbgoc4/NBv6nXH6Kha+fzBz6+v8NgfPM1F3YBTPzCugibA0wJSVDTRWIsYwpgzAww93IVAGcjYAMwxQG9SmgYgsC3DiwBW2I/bJltMZxkY659+/lezHbuP72/PW987k13ey+JzlPsKTIIMTkoqXyQITkMYyaoTlmU8hiZg3M6yOs4CYEFoewKKSkeUyCMjmquM9lP6agi+rwNLY/UZF9ijgyFEQgCbzEmxnVPj7cACQMSICUjydZKkITDo42yJxAQvOp516HPsSUUEE3VoFJXW6d7RZMxDOtLvDQjWwNDQZ/RAYL5yYj6IhqDhHOZG9BQCxNAhkmZF+aDUQErtsJIBKgMytkFgWAGYoLL+daQPV4HvP5xf+xNYAoOQW8d6Ly5nsKXBKc5O4+zu2/isZ9fMjolFqMPIOOyEV3JtMoIWV3mFoh0rAeAkfAl66YzzUrrAHgrrjO+NWMpQBfIJ3TLRtbIBiv8dEsf382JWJ/y05rpEWs1N2NLkOLGvLEAfic+gAff4G93srG423fnnvveBYDPDJgDQn5ZfkWNZWEcTeCGgkCAo6GFsuzSeecSAYN+yTSyKWRG5dBNAcuAsqEsoY6GnN2fco2JpiYFOdrK8NHgjvsUrJxXGSDoCgbHIDXWwcioX8FUdnCOuQj6xOMv60Arf/z48Qosgp8zrFgXh5PBnZcEEn33yTkFuPVjCj1S9J6++SsLZBZZmNCXzMjx/ajVgQ2KK8BRU0BMJ64TUIDaOPSLhrJRwQCM6TkAfL3J9Q/7ynDONSfAA5zPQHE+p/cuBmYB7AF5/4uQ454wKN0eiRKHv2FLmqHYkuA3lvmzSRmVnmRk3zXT+AVwYIel/wIPOwCUCZ8CwITOsUX3obul5nQIyCq3nA8MV/gN/yCSEX9kXz5K164HDo6p+QE9AdTF2OuOd/75SOy+CwB399hJ7HbneizDcc6sjupxLqgHhWVhTgFFOaRA9BiPAmQVtBgFci7DcZaC7Onp6ZX+UyYj9gSAsgSRMYigE0yMuqJUKUg8suEUBAJr/jEE1AUAspZ5opbomDm4h6CI6fQor3tAa9RxSxLsABsAfp4wKF8E7imaSDKax1orgZp95svxrVOfhLGr263N3N0bjedYMh5AE6z06MmINWA9UXhgzFllcBnOuw/AQy8BJSUClcjSMqAgByQEwHNc5wo280J5NXoF9ikCTxDSNXqLbrO1eXoXwnowg/om5/W+o+JKw0Rj09uM1hIwSyTGxm7oSeD6zqYyL/303oRxPM0yhnnZxj5Q/ZgOuypbgScdYxaJHocEwV8J/3DtCh0DXGwZiJqHOZkH4BIP9MtX3FNSu5ONvd3ecx/t75w3AWAv3u0u3s9FGy+ByNi6xQyRWCgUk4kEVY9QGJhSBIQfji6oOQ5DOQY8OBuASDgqp0ORBGqiloPgicdVAmBF5nUvAaEWQ/UJ6oUmMwb05Yzurx/AaO5XVoXi6CdBjU+xRs/yK2cEppLD9XShP6H82WzRGHoV1kWHdEA4snXJXp4mCGTnALIV7EQJgg67p3KDTTgm1kA/QJgd1MM+lUnmY53oL3vSOd24bxmr+8hOHBUr0LNB2QUxMAWQAMjTEZlSltbv8EgtYcuAAQgIZNlef8T6UPPKBTZJAD1GYZ9sC5RXrNNY/IcASfcGUvyN3a3H+oAf267vuoZPAGjlHb+ny2UhKL2yFEOgqxVrXXvqn2B0K5IjQATANbXZAwjwYwwI8GKo+XUga5xzvju27fdidc//9FMAN+8Gu92gam5OSokCjPNzesjGUQW3bddaPEeh0G+XYQQYR2N4TqzOpAC0n5NS5v4dPmiLPlLcZkfI6r6LnMbjrLJ7gva5TlBrZqF4xpK9BI7sGpMwZ+sGCOaowSZD62xzEMFDXCswCGeQzTUOMQRAZ1uAqGtlXo7KaQUzMOH4nMH4/TKLsWRCzkyHMo/A52joI0BZESAykLfzlF5E/W0MwSGwMRTn0AEWZX6C1z661iwT/JqOnnoINHPyQg5BWYGm47InsJQVy/zV568nX//QDzDEgrAINpIMUGjMD9ABHwJcPK71w+boN5ptDHM3D7qiJxl6RVDRqeABLAJHlve2p8xNPB2wDrpmO4wsoVP3KmubJ5vzzYTu6Q2Q7B+SlWjY0b2Tfb+jfdgbhsfvjc3H7GNL8VO/gM9lP2Ni1qcsGOz2ed6j7x8CgLtA3wEFRjcXFLYZVMODAWRfDiP7CG77BV6oRwGMQMkZ2PjqRzUroRzG8arlikc4SgX38LjQX2AhxlG3KwEIQJJJ3bdsxhHNk9EEF7qs3heg5gvhYwKc9ecFCj+uulyQ5CC6v2p9pQGR8WReziuDEJ1ta4w+W78sJ3iAo3tySoyGw2A5Muo+03YtoJKJgCLgNI9tCrqXpyfmBuxyHvvp1puPgsJ2TTYBSczFExfBVdYBmqiogEJ16XBFlmJDga8ckNno1xinsJ8+gDH1KIChMkMAAPoVbxM+XSWezKnzDrRjfkoEgaeX0t8i6FolhaRjzhgW/TlfUCVYA1oODNgdE/EjsbAZO2+zjc/QdWLuAJItNtAdp19gHKBgcfzzFIBGb/xECUBvrmF/gJMAhXzIvpeXlw79Iwn/Y8exUTweu//t65slwHl2md/+3e68van6jfHUURYrM8gYlC8LUbr99qGClG/BEDzR7Kv2tA8TOLOdAOIgnEIWDzA05/ZajkCen59fP/0jU8sOwIKRZTEMgFGgMEfiuJwUYpsfkEC/EwFpbJ/WYz6CRZATPQ+OLpsCm8R9OZOAl9XpCjDRofs23873CUDVm8amR2OeQo8c+ywLnMe5rTN21rWyoHkq2zbTOc5usiWgs7YVZQNwkMWtH/PwZOUUtkHDZU3nYjDshJGsPVynjGB3zElZBdTdl7+Zo8emmB12Rc+JcsMc2M+5wB9I6AlkL/cGWp5KAE++B5DoRa/Jp3tjowSguGcUHmhia0DGWvclJecLXvdLJIUah+0zJpubO9/ia8oQc9rgd7518AeAmADRUzYWH22f1/T9XQDYAbtoPzfod79tDSEKRu083tIUQms4hEyBelI2x9cwpLDTcff5qvM4A7ReEQgCggMzesKZe8cAVYe4MjgHTNSFnJghOI9g5fTmrRegh2H+5ilrOU92WUFHgZhyxJqxEdseRwIN1JDjQvAFAc0lx6E/gHEvwWue6vU73TtmbjKQckJGX+GY7i9LAdkVwMJeegICMgGAghxo0yFAINbFJnTqnsAPqMrGzgHugo7zCpJ9Tt3YPpVqdI4uY0h0bP6YG59IsEf2lQlXUGW0HEthGz7Enss02CYm6RyBy7bWWQDRsR9gwfc02LBKbKlSSONNYgAO1sk2wIKelbb8Fluk3xiduQIGAVwpaN+WoL4TepDx+ROmRfdYGP2eYk5EoighKGWSt2Kvc977/FAJYBA3yyF3uxs41oTa9mjPxNHUmiWaPJBfNmN8SkTLGN9zdD+Mk2jUcJjQ0WubOrQ6+wkDo9kAwrkJ+qQWpWAZXebTCYaiXhzh7IxhLgCE00BltTfjMKY1CUYgo3zxCSiqI7uXWlR2sVZO4hzrF2xRSmPX2ONohIOpoTk5MECHNboAgX0n4wEwQIATE04iUI2LWnqaIkDMG5hWRhhPOSRIv13Ot+AgAz1dlJvdlDnmxPnNSxDJwtgVJxX01iHgANuWIABEnaq8AfJ0XFBgdpqAAEqAu5d5Jno2WNApdOFJCcYEvF0P2LEy62NTmV1WtkZzFNRYkkbdiiajdQNaAZxPoenfr3cfNN+ag/tgU+wNuDAWWRuD4iub2YEKMMdQE8DT+xft82me/I4+2JbPPhJAxJcIfSZ0d0qxZ/9un+ed3/9pgfPIg+8Ft8O73elu3gQpUfBx5EQ9Bl0tnHNxNk4scO2D3iuCz+Oo/sADh/ZoibMxKNFJBxxqdkEAZKJnnEzW8fcKAQ6lakYZD0LLIpwJECgBZHLGtp8j9YgHpeRcMh8Acw/ZXOYUzLKC4EA3AYr7+LRvBZvwYz4AgyO4L8cTWMakA5lQdtDz0NfQuQeMmITrEnOvzgSKustAV3bjmAKIDpUnAgK4yUIaYGg0UJCNzQG4ACDZvGYrWwomgeM4m2FzAVjz8Cmw9REEjXVV68qwfEGNbC7sgaW4B12bp5JtM7rxfl5gBKxcQzQqPdpznrFQab4D1IAn+wgwDUvr5g8lCsHpfDoGFLJ6gjnwKzonvksG1suumqPWX5lmfWsDZYNrJKeEn9TMa58184eav28Fv8DfxGmMfd+gMYs13x9td+7d54cAwMBvocoGfTfhsBpSsgjjJJQoqKCwZpVAIYyMWod4ne9TsHr5pAagjHDWmvb54RCommzNyQUIw0NdAUXp9kN1oIFNcFxNP5mFkTiXDC+ANSI1Al0HeASS9cgGwAJ7EQyygkbYjytLcR73B0wacRyGcybWKJgBiXcJOGRdc2vgPJxOuQEM6BejUA65Pye/E7qV1bZb7FzllXlav2ABwDKqzGktzumTrQVYGU4WJALEs3lsoOfhOwfXWSemB8wBiozKxh6p1elH3QmgMh7Ao/uT0lun+QEAYk3mHUiYv94PG2AwgImNlCsAUA+hABTE7Io5uW7f6jS2MgYg5ItsCzyMa0xrNw92MBYfo2vCLgAdC/VJ9AG2Afu68/qH7vUZsLVludbKX1bcl/BlxwnATt6Kx875yOeHAKCBNtB3u+MLFGoiACDjn91jAeeHcH6KxxJsC8ozYJy3IKIWdL3fEmQ8wrgCSzaR9dX+MgEH5jiMRvGMSqEyhBo/EcRYAHSG9q6V5cm+xMJQGQ8tcz9SLScLCGp1L/pPODIAiM7LgOihwPx+UU8gtaL0sDb1t7rddTIHPQpw678TwbQ9EOfEOACgzF33GvPCkthMQGM4HBSbcA+BsmJO1o3Wx672uKBxf3oQJMALiAI5YOI+KzIy0Aeagpg9EvOQjWNf3lUAfmVtzMI5xrc+c2Vz49E5Gy1DYUfgDRCUnBs8yjRghVEmXhrDFNiST6H9SlT3ZW+2YJ/nq6FM3/SKLfSqO4a1f43KuEoquiDG42PKNX58Bv/rSfMP2yWnHu3f9ex217z1+SkAaKAN9N3u+IIDmh4N6/h+ckQKlOkEjuxL+SdKy5CUnWNyHPV8AGBMWYTyAQqHkpUZlzNG6WwzlqCTaVcwA+ep/xnHq6UcZIUjyTCaYWpaIKLhJ7BkPE5rHnoCspZMpPQAbIAIGKD/hJ6ADmfgMNtBdj2AAQCYCDrouEwnEGUDujBXWQXgcExrpr9TnKccE3hbtztPVhUw1r+PzM4xgIS37gQZW5gz9kBHLy8vr/d1f9nLHIGC2hh7W9EJlznZFLgCd8GFEdCnoI6OKxOss+A3jnOMIRiVNbKxtbufZh3bs5M6HCgBfXZwPn9b0Yh070SQ6i1gOkQywh5+XuUIMNAwZi+lknOBsvOBOf8VrLGnxqQj4MCeyilj8ks+85awe3IX2AsGj7a7/tHnhwHgLtB30A369ncNANjg7Xifsr9nuhozlIr2CKSetTtPPS6gAgDU3UsiAAAaE1lCoDGKIGc09E0QYQCovE+lhizKWWQ8TTQiMAQAhiAgNKYwAYZicHUeY6pvAQjHEsDWJrCBRlmr32bUwUUHvVvASTTTzEuJ5P6cXYbjvB6r2S9DEM6ETmu2mbNxzM2zaY5PPx5fcTxzUh/T3SOGYJ5n8L/e6I9/2EGZdQasw7K6UkoAyIaYAIdmE/QYxXc9PwA2AhjjcmwFkwC8wCahR4AmYGXxGpzKPFn76empU1/1D2ToA+DSg8BkW30GQR4g0J05eV5Pp8siDai0FJDOA0QYBTv22M85gEDAGtc5Hk26n16MJOClJbo3F+Difta9os9Bf/ybD1mjBnUlx55rGziYl/tsYHfeHRh07LOfHwaABt5A3+2OF/R99yljyJIF7x6TcXWUCeVq9Agy9V2/BNH5FLe0n5PJlDKRRqHMw8HQbUGLVQh+9yYaNwACpZZROISXeGQUjILoA/jhBKgZ4wGDajLGJliAeQIYZQZHtD77BHXCQfRB3NO2YFWPmx9d9eISGu7phDlCfhk1MTfOZS0ymnkJLM6KrquhsQtghE7LNhwRGMmGyhpZGgD5ffazf9J9BLYxBBBH1SAETHQGpOjAPnoFnNgIQAN8Mqk5YggYD6CiO/MEogJcIJ6sS/ABJllVUFs7FgiIBMI+SsOs6JoN/C4Df/HdGPTqpTNNWYFGN4KW3gEM/dBfAsD8ph2WF2PCHtm+AAYoxmZrAcmO2R8zAQDYqx8CXD0qtVaAJMDpyDr4ucQExDVF86fm06d3ZNjrLsjfA4O7axr30eenAaCBNtDbXkBom1IpXjbjFGe9w4ABAISlMJQMvWbwbTjpYAt6z50FukBzDbCgOM4rCO1jfIbjsLIWUecJeEFbx9Y1sj7GsGK+aKPj3jvnDILBeETNyaDAhlNwdOwCrYXcnIv0CO3H1RwUOGpkY9KDeZ6iceg+HJxe3QPF71ecq201qVBTTETWF6Qc1PiO0Q8RSNiVABMMQNRrvhpzaPP3qwcBaM0JmAAh57ofBwdUwEQGtQ0YBFRlEPC0jz4xssTaBIbSBCgqPQLZzvEpWAWXTjobADi289IN1pTQqYCiZwDGNoR/xGrMQ/CyFVruHAHX68+N5RNbMndMxLkSj/WWLJxj3fQJ4Oim4HfMfa2xJzD2Gc/8CSDjZ3SJOVmnpONH8ANqrOBMivpgkgnR1yIb2G0vGDzafr34nX8+BQAF+o5ZoO++Pa+XJVD4O4HiK4wuADgbeisQVlBCxjMepyCckfMISo4qg9X46xznARQUG4VMOCWHVrehdYl5mwMg8C48x2BMz/R95zTuAbzMGR2WhSA9nQjIHBibgOoeEZYZZAVzxgYA2grnAlRYACCxnpNZ2OeJAfajlKAXzmpeSiHAJPvrygMKa+TEwAETAGqAFu0FqoJL9sOKzJETAjT647COocKOc2LAY/6YVwC+a2A7mZWj0+1d4xDouK/eBN1yfr0BgJDurEEfCXgKQGDdexXuBxzpwjrpzbowLfYDiILXGukmsd+aCiaMyXn7aM+59mEnnhgZY4X/bY0u+PmP8kcScz8BTl8Aje6BF7DSEMSK+O0JAJqCAJ1gE8kGefuaf99/5fNTANAN3gv6u/Mo52yOdN5+YgsckIE4/fcrQz1f3dZE7a8G1qnl1DKk+VC656SVDZzVOIyoeVXmVveptQUrQJARfbqPXgVqlzAwR5RJ0FlGAB71DDicTCvYMR0OrPklaDS0cm4gh/6ah+zEMQCPwJF17kQAmo/7CWq0khPVH+gajUFB7Tm67McR6UMgAESOiHkJWNcKTOMAHj0E+hCodOW7pydouoADUgLTj2tkO3PmuK65syfmpuvO0TEPQbvB17x9sh276ftgPgLf42HsiD7Nga6tne6BcMFv3XQNMAAAwWgwHkFlvoKWXQUgPQJszEZGdm0BZH3m4ZrEUwaBTwDxgrTyArABSEBjHcoW4MTWxgay1qU8o3fNZ/7KDvYbo1Kje/bZS3O+N8eO+XwEBnf797q77U8DgJs0qd1ucMfOiXTeub9r9hNNRaOUBpCc0VA7QSoLUaZsBwQYVpAyPEfY8kKTRZD/vBpualtA0KMeNBeL4MgQVxYzrnpQTS5bJ4xrToIJI5D13JOR7COaV8oQYCI7YgG61NYrsAQgR8FmrIMjc3jNLmPlCNYp2DkNPcqQ5sh5lBYC3ePDfVpg7c4J+Hr0aM4JPbmWE+sFCHDzAkoYjmC2rYbWzKIzNgBSzj8758ZVQ3cv3zEVgCibe3eCfdTjfggK7D4Cw3gLCvoSgALtV0bQG12g5TKoAHdtpZzxzE2nf8Vc0X3MiO5kWk84+ItaXhJiQ2wkVgMMzEnDN2E/vQ1z8DibbyRAmW9icwLd9XSorPp2ZfiEHYEO/2F/NpAsrEXwu//qFQupl2CMu1gp7rrHo/P2+Hvb//e60b8+oH3viut4E3HpbrvU94bcY7YhpGCTHTj5I5GdZBH0znXO/XYpVzaG7jKuzMDIggf9htiCzDP2RLDKjJpLNahQYwKFvWwj6BNvCP64anXOvE8gHEcFsQ5zU1diEQlWwgnMjWGBjUymhgRi9pk/5wFinFSZgxHQBYclghItF9SyH6cRSEApBtM9NUOxCYEBbJ4vlmQej4R+OKS5WFu9hPN88+bYb4ngAHjWhPLKhH7z7ZFgI4IZGCg3iMC2Vs1Fr3vX+d8xMAi2pg82FDxA171c67rEq+B0QMfKIhRbjQ6QiDcUZXpjsgEwMLYAxvCUXERwAyHzpX/jrGBAwLhkwvcAcL7euZ4CaVArYYA8wPJIFAB5vwMg82slKbYjSQGhxvlsbLlvcdccPvL5aQZwDroT7ZhFnJPpPI+oKCMq1zWCRpCivjIVx+fYApZTOs6gMr0MDQwYSCaXxTXbPJJyH+8HEE6jLEBrBUrKdQxYKDFkvZotnADjUIY4rgOt1hPI6DDAsQ0kOG79Cdm8xg10R/2jmByK4/lU03kHwLmt0/ysDf2UtYELh+BASgpBcwa/+Xv86e0zziSYNEgBF2CQiU/hiOax702c5/guKB4BAGf3C0hsA1wBgLVrdt2JeWErGoH0iclo3ArA7xc1p3eAjRYnQM1c6UsGdg/f2dx5bMqH9lGnNQMZAUZX6DngB3ZEOciuAL65CmQJwFoLfucKWuvDkgT2KZhLwe8Y9mLcFYAIqPgBYVt2VgJYS74LZPgfxsWf+CM5Y8e+9V3fyZ632/979GP//hIAuNk5obeCfqeiNtaE4YwZw3EGlPELJI9KKIbBOY7A4nSoJESVecqYAECWhOaQVLCqJ4kal1PJujLXvmBkHi8vL68G4WgcTCZCF9F6oIG1EHRX1gEC6B1G4BwZpjmbPyMai/PECpzLAdHBU9SOWAIKL4CVJz3d8O6BfoIOusbjikYRnbif321XknB8OuHEMlcliWxNOB5Q3WfwjUmvWAmH5NSCh46Na16cGu0VyEARSAkUj/yWyjae4KcrgSAoZX42p3/70d2zAeZazM666R5lpjf2kzkB0HkvYwpWGd76bMcymgtG4L7rb2yIWawuJAr+45gkgDWtAIp9xOuY3sEpxlWumIeEgW0BduNiX/yVvvmT5EYXegdnTBn3LrDvzjvn8NHvvwQADV7QLyC03THntt0xi9862zkUwXllBw4msFBkHewCiQEhP8cQZI5pTEF7osFVmbGo7tk0psC5ZTgO6R5E1vUrlqgjdHdMoKpj0f0eXWIisreM9XS9mMKJlQQyov3oN8QHWJxKMFqjLC4DcV4NqvoFnCFBBc0dM5IxOT/HVptqtMkgRMBzcplEfauZqASyBnrzQ8xvRQPTHPRINMbU9wIr2g1MzJUN/HByPRRzNNaOl65dS/cCUqbGxgAzG6O31qC8AcScHmsSDEDW2ILyFDoX6Jge8HGdJGActbwSpiC2DYR674BeNFTvgh+I6gMknppgIGxDD5qM5ku/gM8aMZsVevajdEjMbV8asl/pZn/6AJhKFSAv4GucWiN/Y/uayq6nP7JB3nbHHG+72LLvV+SXAcAEmlg3vpvM3Xkooewh0+bcjK35wqgQU+bQkJLVISpFOYejCn4CZdE+VF1TilB2L3n0rNh+tb4gxzSir64HGIINBRPIvRbLEVBsBtZMJBzc82ogIHuZiyzhXADgkyMCEKBFsBf3AQDuA0iAjG65rLCiQQhUBCEaL7tiBnW5XSuA0UlB58c9Aepbgr0IDmWCgAUeW4IV4JpoAI9OMDAA+5bQpcwLkAAzO6DUgNA+QtfmrZHG1vQi4wEDrIIuBZ4gBapeXgJk0XZBok5mF4GVv/AfCUOmVjICq7MpCBywGn2nxHeNPTrjUwAZa5DJMTg+xg4r/Aar3EDNh/Y828DVvAAKu9EJG/Evc6zRZz3AChsgZyzZV5DbTu7O69ivfP7Xr1y01zShnWzbHXN+246hvSg5J5CVOTIH8cnpeg4KcSnSuWpCCMp5VwQIdP9+ITqJTqnPAUfC8QQVZwM0sjuUJppwnBR1ZmgiiwsCNXZlwOuB6x/P2a1BtofwqKMuMDagdpcFrFPAE/eWuaC+Y4DPvL1yyxHUsDkUKshxGxP1FwAe73FSwa/hZV7mT2fqSr2RRwIQZd7oMwC6E7ozRzonwPdOBKf6WZasWSYw6x3IdtiOTG9dwFdfRp+GzfVC/CgpNHsFhkBnB8GnfAKiglWGNnf6cC+fXq8WuPTvBxs4+x7mqAxSvsQarMUbiwRoCEyMECPAtoxDFkjYC3uhM0mJ8DVd+1PM1w8Wg21JHu5BjKEkS8QDv+iFNPvfi5uu3fPa7thnP3+ZAbiRmxfY3dj3c1Kdp1at644+qke9kcaZ0E60D2WUrWQHmQvdlxFlUIEreGTG6Kv7ejNMJkrUe5wFcjNWIrAEm/qUUy3aczpgZH4CQXAxpGymhuYgPfaS3Tg3Omh+mABHQX2hfs2fHM+asBpO7tmyoAVEKLxMpOtcA9CxyhAO5Md9ZH4OzbHNBbgBhEoA1wlYjyET8yHqeNkNuJpD8+u8PgGta7AQ2RFDaV1YDJHJZC76onNMBmgIDrrV7xCMgOv8nQLsTiAAWYHBnuwAaAFf+nIfgEY3WMHPK/PzE8FlffRPn3zN/cuqriPmgL1hCYk+gnV53AisrdXjQGOxj/tgIdiHtRG61vHne3oziaafhHSK+Sld2Wf7G/xNouiPkrrOvGtkbgy1fcaQazpm+6vklx4D7s2bVEHuWJN/75iA45T+Qi4qRGmcjvOhlzq1nAlFo1Q/HIMxNPdWAIb9+yKPOhNYrCOqM9FOxoXA7svJOaVMZO6yGXDgNBxbkAkumRelT8wFveTE5syhGVun/aT3mnUcSwYTCDI4x1KHEmt3T9lTJvX2W/rrfj45tftiSbIjpqIMkgllVc/ziWPu5Z6AlV7o2nH6MOecHpgA3ZqHwFigcXQBIdtuDc1udEZPaLH5OE8g0Q/QOgU1xo6AGCby7SrjZFq9GEBmPkosTCyRnd0DuClfAALgpVtJQY8IGK192UMfRTnTI0DjSQTsjUERdb93KoxlPgLavQF4+9jJWmXpekp0jZEFiK+DXf+wPV3r/WA/ShnsjtAv264ANEDETq77aMwYo1jrmh33s9t/igHsZHab456Ta9J7zGMggaBu5vjQWW0KlZUEqC3n5QSAQJCqx+0/hQNxQE5jPMLYjMGIveihhlc3Cg5OwLkFPmoqmzsmM2ucyZZ+E8+9ZQxGxDzqqpsnKo/BuDfnMZZgk6E83kM1ZWC0WtaT7Ti6bOMeNcqUC2pH46DN6DXHay2tN+ZDB8oYgWudAEjgBgCor6ARcCiz84GMewtY2Udg/byyq20gJysZzz00q4yJcVkD4ch+6w/QGMt8ARug9mz+DrBcJ7h+XJlf0Lq/wNSfcU86BUzmIngwrxpl1s4/sB+ALdMrxwCzsoaePLFIrBkL0fCtjHHMGL4X/Pa5DsMDgj25oTtlALvwB3Ohi4KfL5nvGfx0pIzAYGxbi3UmZ/Dbzw+I4E/S3xk7jr91rOt/5fNPA0A3LbALdPvb7ljn7jEdeEHPOWQ+QUUgu6AzhgBUMkR/dcw1CHP21wuufwSNBg8kBxychZH9jTqPCdWghNHdSxZicI7E+QSQsoGoFdXd7k1kCYaXgQWWx5lE0LsPJHc9IBJIehXuXUNpMxua7Z5AAB2XAYEP5wE+HA8Dsk4MxLHeqHu96fWP4HEdZ3M/zSYZUebm7BiRMYwJiDYgNPoIJzc+8JEdrSXglbGxDMyHHVxPZzI/6kz3ShPBg97moK8D//EPZke/wJ1+6YBdZX4BYh8A8ikZGCtGZAjgxT9iFYJREsAEsSe+Ys36BSi/69mCbygvHbM+x70AlMjsMS7jsFF/Jp3d6NNa2VxSIpgOfZRIGgvtBxh0yvbuXV2PFQDHU9iefwJw8tGA77y7eDrv8dHvf7oE6EY7qZzhbsJ7DA3SrJM9KIpRTkfXZec0CQome8vOnF1wn2I8TxoSz9HRRw7EUJxa4GELMiOnN1eoHAC4lqMLEiyAoWUN9+Y0MjwQCMEFBmARLDKWjCAIiacLqLqxiHVzfNfI+BwHExAUwME4nB6FNJ6sLLsADFlY0AsmdNg8HokaHWBZm2xufIFgHmp5dTp76KEISkyLcyq53Ide6F6zzhzvhP6tMyZDv96LsDaZnZ7N2xz0IdwbIDlf2QCkgOw+XnMf7IzezMk9+AUbmJc5/7gYBYB2HyBHP6g5dgEcAY8yin72iYdzMBrA4Jm/3gv/SJQKms380bjuCRjZQEnZS2POB9QSjsREB5rD+iEJG0syj8Q6MBnlwsaF833f+LFvv7dt/5+RLwUAE2liH11AC/fyByUK6hXNPA4ffYOaOsocAaXWC5CBVgQNVGcAIpOobzmJoA8MfOpCC2JOIaMyMHBJXl5eXsdBS2VJ2cGP7CIbARVBtSDF4WVQ85NRBBRHBi7oNue0TwYTCCi5sQQOcMEcBKTrzZ1unOe+0WHBQyfbnGrO+2n+1iwwzPUth+w6AarUMr/n5+d2/9unQBFE5tiLP4CL/gQ1ndCZYwEbwBXsgpQNgQJ2pglI6AVll22BkToZ0GERPTJzHhAXkIBNn4e9sSfXYItKAWvF1hJZ3f01iZ0HBPbRnvMAI5+U/d2D7ugaA5KsZG4+br+mInuxExal9wNQCFYD7JZ5vR744x9PBMz3V+Kla3a8X93+MgAwgc8GfQtxnUDXEGIYDa0Vj1xkZ1kP6srEgkHQqK+X3nWdX+0EHOpfDq3xh17KOO7BwWU443ESc2AU9aU6XgAnnh5wcl3cwEbdr6llbMChz3CKDMiJNKXQU08Lnp6eXh3KuYKaQ7kvUOBolRGNxdEEirHowSfHda4fLAHbkOllLNJYtvUrHMeuCjL73xOOLXjvBLsCSrIvHdOdOdGlwGbH9OR6lF2J9O0KSGWYNQhQ1y1w0hNAdl+Z1NpQehn4FPbFxmRPtNvaPYYFKJ7WuF4JkvAVfkKf/EAywCBW9IMAioDGlpQRMj8glOWBkCTlWvdxPbB3DdDGlLzMRfjDsoW9j7Fcs/7v+H7f7UfHdsxf3f5yAHg0WcY+j/V9j0F/Bn1LBLEuLzbAWTyqOfsBrteMYywBL7AhsoaUR3FqxnoCzlVayOqe36rpBAvWkKDJnGhrQCCg6+y6u1dHXcvYHi32OrBgJjKl5pCgUb9z2vPJgfMEi96DX15SilgDIBGggIpDyzrmLcsbEy31mjP6C3g4MYd1jGPLpM6VmenFnDx6FNCys3OULALQOViMx5bqYeOpbWVSfRvnGMsnIANoQCxRzmie9Ys7dIVWy9JYgeA2nozvhwBJYwGTGpCN5xMDZH/Bjx0oT75f1N2PNWKRdBVwABbzcx+6MiF+lwAAK1RJREFUEbSYxopE4mlC9bvsrAyhb+UAcEDXAZ71yvCSCP9yPzrTpHRPttmnJnsf2+vvu30e6/uCQduOfYV8KQCY0C5otz9yjLFRMMiLpr0lAgri6xFwOF1lLIGhE91qTuZcRkdNfcqkDMyZV8xXVmY828suODy6rVzYR43V0o5/uzJcWXjHFViaipyH4wgm5QljchzZTIDIlJs5dwwZVwlhDMFh/uaoxg5MdOUFKScEVsbmwEodrIBj5tAypPsBEaUHR3YNKmteAgm4qukFLL00jvsBDTSZzdTn9B6jwtQEpeNEMArqMygAKGAzN+fTk3mh8xqf7nMKXWETann3dI51AXQvZ1kHZkSPMn2v9GJ5rnMugF8pefCXhM8ozcroP66eQ+WBco692RFQYoB0R2fYq7lpPK4EdgBG2VEgb4zstmv3+27vuH92+7cCwHuLOBfl+8tVs3IUDnMnMioHI7q5GlnKASgNibEH2YxjcyjnywzQXxZXN3vxRlbmvKjoStmUYwkWxgUsnArNVkqobzWm1OlEU888BAsHkBkWiBqfwwsiPQoOg05iMwKFE6Lqxj8FyCmR1P+cuoC1NoCEsgogczY+PdKRT47mGjri1ADE9d8usHIuKmobS5DtrRdwuM7YGIrrjd14xlL6ABs6d41HdpUBGBfA0kRdYQ9ZHjvxhEMWNm/lCYABnux4AoUxzI/9jOn6BHhgA2wqAM2JHQCU9WApbMJmjvUIt+sxKKxzewWO0ZV5JcAD+wOGSgJzZZcAwH7r41+agSt8kS5JOmzb50fBoPNc81Xy3181UOOYpEXuQh8d61xNnFAZALy1UDV1TwrQbvSZcRhZdteUqrPMOf3IkppZsg0DeW9fQNsHGGSOBKp79AQ0rEGQCFTBXsBxDi+ReKcAOGhUoaNQn7F1nQEAwFiB/kALLRZ4nIJjyi4yugahWlIAmqsMBBjUyZwU9UT1XesHmxC89CcjGVdwo/WOoeOCkn7ogINar2DGhgQVXcvcnN386dY9sqE1m4dSBDuQoQGWudOLkkr5oiwR0O4DfJx3CuCga80zoKW0sQ52A0xKEzY9BYPAVjC+7Rm4vwbiz4tNsam5s5+SQ8mDKZkXQOIH9q9gE5LFGfwytBJlhZ7MkS4Ai7UAcWvQXAQ01nIH/CUsOk0AH8nXO9b3zvPZsd33VdtfDgAmZhFNum3fbZ/fnS+zkY6p69Rfd8Kx1KQ92mF4dTijCAS0Hph4vCZ4GUSGQttReABDZH9Zm6FlHYGReCaswaSRI6DNixMRrIBTuZ+XYszd3yGwj+j6+os/OsLW7FEhoEg4uGtkHiAkSDku53EPgIbFCGbzTqzHNYCOw7mWE/28nP88V0DKUP9zUVXiHGObO1ov+P3IWpwT5dbgcg4AkUkFkB9gJOMJeD+yq4DFnMqcMrJgQ68BGKCpY69haL3ATamG2ruP9RgHaNgGbnSBcQAt4s1L5ZrHmXR8irFRfjoGKIRd2AKI+QRa7HsGvzVZWyVCY6vzz+B3jC7Mi66tk46UnV4Ek5TM21yMmQBidmDfjQfH6Sk5j53fnccHf4f8FgBoohZi4gV23zvu8zzWd40bdbHMBmUT2UqwyJDqPAr3iQZqGkF6gc9RBTW6zallDpkEdfdkgGjaAA/d4vN37tWDPTbSkzAeCgk4ODsHAFTAyNMBQFS9aD5eo+UwLxfgcFBPDIAR6oueGgOrkDE5jwCUgQWKIEWJZSJAyJFlNnVkDu5ewIaj76MmIIGOC35zRsWxAYEHAIxnHpgQ56TvsjXHNg9OLhiNTdKte9Ip+k8AFbDFYqwhgMByNFDRcyCjJyEIAA02IqjZ6NvFXgR291ceCEhzdg9gJ8iXFZgb4MWY2HvpNvA3LoZjTnyDr+jOryj/BGuJp2MafQD4TmR7NqMzesHmNA1lfv6hTBLU9M92EoiyDTPkK4SuyV2Avx64OXYXM537FZ+/DQAK5LsFnMfO71EwdAt6G0PGSmR63WQ0TOdcdufsajLBwnkZg+LRxIQDCmq/712H37NkDujRokzGOcsmjMvoHEvw+NEYrFNsXExEYHBUDgRozFm9Ksug1hxQRz6ntE8JIQCI62VNwSJArBf1FgCCyad9Al0AcH6ZzXfOtrKvDtOfMa0Z1bUW/QrZlgDLfRQGeNyP7ugwebr6Menf2vwQYGRNxDsBQApgC15gIkCxKddaKxvJxPbT+yketf64yiHzNjfBvZTf+coA9wTkKzK3e6cvQG3twDYdAXWsBTD746CSScLu5y8V7TG+BFwAJPthCbb5KobFZ9jEEyZ/eMZaPAbUm+DfXk4j7EjsI+f3151//NOx3ffV21/eBNwJtoBHi93ju22Mvgs+joM+ctAV2QcV9kNkeE7IWBBZMPgV0xx2rwUGmnUJBxYYAk/A5mAyksdOnNIx2YijyCCy6IpMwLEcQw9lWtnXO+r6BmikwPApMyhB7kSAYy4c2DaWQIeahMaR1ZQHgEHWNSe0P8E+sAtzIHQoGwkETU6A8EgEEeCjP4CmBNL9JrK1ngc2QfxdxP+5mIYgA76uBZIyL/CjY00yepOV7+xgHGtUj+szmCOmJfDNlS6tV5AJbmMsI3C9xim9Ai5z9+4AABB8EgUGApTYG7DQPdA1NwL8vSNQpn7d+cc/Sh1Mhu8BZ4GOJfjukakk5Dq2cJz/YTB8SULpz4fdxUA+fnfM7R3v2M7pK7d/KwC0CJ8tZBe924/O5ciMh1oZY50IMAiKfW/ASztqdwErU6DmDH4nAmV/jVhTTKY0L0EOwZUaHJsTQ3UOgDH4FISQvSzYPWQpzTF1sGzHgaKOGApHVjpY2/kKbGP4BAAypcyjNMBmOLFSQDZX2mhMCWgBJwgEkLkKHL0H4KHphqF4tIp5PBKBDMQ4taabhqp9AFHWU8roOxhbQApMegBW6l32EXjmqrfguDWufc57Y1NeuqIn+gzQrcm9lBzABdNDuXu02DhsLbOj6D1q8wowAerAW2Ci+/So/KMXQGpsYGx+QOIUPQo+UrPVOUDJHJRyAh0AAhIsR3klAfAHzAdbJHe+b//6/253rOt8/13y2wHAxHdxu30ee/RdpldD6iAziqznk9E5PYfct9yUBIJVwDCQrHXnhLKbLAw0EkZEJzWqBJO6HBBAfZRPUAhMc+KgWAA6KBBWPPJTZnA62UJACIwABhV1jicW9ntPQFY6RZPMa8gcVc9B4AMXmRZFRmMFATCUtWUjgSSABTIAQHllR04qK3Ms+zxusz6ZHn21Ptc0vvMAjCadDG6eAEwwKVlkOdezAbt+u2g+diAArLey4VyT74L0+/fvr3ORsQEAcLc+gQnwAYuxMZme1e9YwNnazRkg0a0nOInr0XGgxh8wh/7WvwB2jZfIHglgArjWws7YAwGK/CSWU+OPDTUEgazEwo8K4s/4/Xnuo/l9xf6/HABM+lzgW98ZTlZhaLWoph0H8UPxgivn7JVgTqOm4wAc23n6BtuNT3mVChxHhmFADRx0VEYBNAy/L/+4VvABAz0A2YmTnvWq8zwirO7UHOy31YAHBzNurx0LMM+pBcEKsFFrYjL7jBx1No41WjMaChQBFOfmqAJWsKLGAFEPAZjQmWxmG7DKkgIXuzEPc6A3x40DCACvT/eqfmY7wSFICLYEjIwBZFYwOQGpYQiUgRQAUSoRAOBaa8UoAJKsqwmZuEZAm5fj1g+o/eLQKfodzse+2JIPaPb+uPoMbOy5fvPea9F+41q3RACYge97gimh/PSvcQ1IsbS3/NuYd8cDjvfu+WeP/yUA8GiR9rfQVcJu77XoMgfVURc0zpNlGEvTCgtgLA6W4X2qy2QxmVpJcCdqaLUnx+UoMqzXRjmjwOGE5/NizEMjznXOBwayIqMLxoTTAQvOjokABesgMrPXkAWgNeiEK2sEG2eSUQUFee/tSOcANIDgRykgCAUTICXmaz32y9jOQYc5u/trVgJc9wccgqfHdr4DACzikQgugAVM9G2UYgJfGYQ6s1G9icbAgjQHzVO/gk7Y1P2Ag8AyN+BIj5gbQANuMnH+0ng+9W6UdBigeUgGqDzgA4Ko/dqoaz0hABYSC5Bjy/6AbOfcfXrngy8CsebzGd/ec9u+u89X7/vLAMDE7xTTYu+OueY8LjNzDI0b4q/PcGoOg/qeIlugYiil46jkHdXmoJqIMij6pnYlQEBDECho5t2JWhCVdC2HUfsKIoxE0Ls/us/BUXTnyOReGT2Fo/oDFJgHJ5TpOLxxBI93DD4qMjvwowOgoq5Gg4GPAAdagAA4erQlk8ruAsD96B5YqHGd/xGRKT0dAIrGtV46ByxsbNxT1Mv6IgKa3s3FvIE3AMTcZFUlFV0IZDq3vjMz26dXwQaO9VeM9Vz0EgCA2tz8VtiO7vUNgKdehHt3HrbBhncgHOPCFIGcBHT67VvfHx3b+f2u7b8UACyCEzxa8EdBwPWMKVuqt+5o3CpMVuIAjMhA7oOuo6EJx5IllQ4ynrETNbIsBECgfP8hSMd9ai55H53DyxwyAcYhiLEVDgu4BJ97y6wCBbAoPVZkTNlJwOohqFs5v1rX/PUkvNQUi9hrdxt4qZOfrtLp7s907bl32/oPAv/bxRTeEuCp/lWmARUBL8jQYEzgTgSca2Rygeav+GRHdbf+gEeUMr8gBODAEINSCqn3TwFe2Bbw3UAVkO4lwOnUcT5At/YBPGsU9BgINgaggVainMBMPN49xRhA3dz42p/x76497/G7vv8tAGAxLfQzQe+6PR/9kynrtjqecCzGJhBaFlafMjZnkvlkCBQTqzAfBhe8jI1u6p5Xn8pQXkABEAJXMJ/itxM9zpKhNN8ED0D4edXjqDknc8/9e4acXYZ2f4DBCWUh1BkICArzwz50uzmo5pPAUGPK0MoXdTinL2NpsgEu6/Qk4Y71nPM/v9Ov0gDw9Wafc+jAIzYgbD6yKnYiAFBuj1/3fYQdF6iov+lIIJ7P3mVwJQQbycSCl+7cR4YF5HfifDoC6hqKievU+vzGORgIpkPHvksK+h2azJgH/8BcAJInH++Jkgjo8RWN4j/j11373j2/8vhfDgAmv0H8q98ZSUbwuihjMcIKCsn5OS6EFmScTuaV6TmVwJGpAYOgBgDV+epur/P6UdcnssbTlVHV/56t34lMyIndV1YSRObSUwV9iNPxjeMPlioT3ENg0xMg4aTmY1u5owHpyQAn9iqqczETNa/s5Tp1rqzEuV0rSL1ZqQTg+Pb3HBxLwDoAljkDMvcCJoJQw9X8NQWNXTlA/+aD0dCRa7AUuvV4zzXE+J7HA0LB2bPx14PzjwYvgHAPP+yFjWELvnti0yvgXfb8/Py6PgDEViveDwCkZW1rsT7z4TcSA4DnB9ZkfbK8wKdPyeCuT7D3aNv8CmDb5DPfO7fx/qrPvwUALO5XlOS6FNX1HufYt78h5rwVWUDHHFpzZhmoINBlFnACVdZSY8ccjAEsOOFZa7qfMWQ8NaqgXFFzy6B+Rdd5goIzcUgBi5LeNdOcJ2MLQsDBKYGdQFMuyDL7Ioy5c1rZC3h4hZpjq4HpSJMP6AkiYOd7jTMgJIh9TwSzEsMTC+WG8Z0juLGOmASda4wCmR7RYQSapkoCujQHercOYOL9iFM8p48BAXHnAmNrCGDoX39ASRPDMQ7bKI+UZN+OMsXLS9gXgFyhBz0CT2Y0B4EglhFgWg92B9ytsRfCdoxzm57YjeSXp59+9Ps59u/+/q/PaX733WZ8CqEsP7b7Pqe8bp7Hz+8CUUC9JQwtkDyrV5MKCA0mQepatJCzYQKy99aPZX/BKjDL3IBH1tTAUsOj4P01G3MROB4pcmo0XqcbAMgsHMa1sjDn5/D96qxj+gatiRMDKU6qBJDBgICgExSAITG2F34I4LFeASXzCkbAYV4CF8hVighMgYTqy6io/HvCDjKq8axDmaJv4l7WgHUAG+sHHGfmxmr0TQCG9Xn6wg5sA0BkZbU+e3nj0L106IEpnSgfrE8vRKZewYTu+jTOwcyAi1LLvCUH98MUzYOePBVhu57779jndv5ov21yBvvrzvnnPN73OeUv2/zbAODRClPoI0Bw3XmObPoeUnNETsQZlQwc1KMn+9BSTxGAgMC8M75aXYBzwOpbToNNeBtQUHE8AGE8ga1Gdy+U17YMZr+sCGyAkCARrALJa8u2ZXJzkdX9HT+dbFTVvb2EAzA0BY0JXASPjC3DJ5iJNRHBhOEAINlN4CxwADw18HuBL7iN4QeFxhwwAw1UJZE5KqOwCIEk2DTy6Fimx04EnHOBjbVrZAIpa/ZeAprfE5jWonQBMAWm9y6MQdeVGc5VQmnebQ+gMXyai1KE7gGqwFcyAUMgwickBXqVNE7QMgYGpwdDMLOCNzB9PXD80zkBxB7u2O77K7f/thKgRaaUFPHR75xAABHXoHYyzyPRFNRAwgQ0ijiul3AEJWeA/gwr+3IIgfvtoJWN7Vm0LPR09QISY3mZSOAKOHORaTzqwxxWAIy/7uPJgKDhfLKRbCcQUFuZ3nyAy92vwu54AhE4BBwC3/1lOYHOsTkusKAnIGONAMd6BSpgEHj0Y94ytNJCHS5gZGaBLvjNGfgpSfQ1HglGAJwBB31p2CrDgDAQZTfNVYGEUZ2Z3LjGoC+gh7ZjORq6K4DBOyIvLy+7+1+2zZ+tjWWtbK60MB9PIeifj0gUBBidvQrrr/+BhTUPegpsP+PHnfsvE/2Lv/ztAGC9Hw36FNb5jN5LJfZpBHlcB8HP9/8hvewiG6GP/flvPQHdfQGEgqoJOagAkH05/J1oOOmEf78eV9UfECz6Aep3gcRpjSOAHzmnBhX2wIlkNWJbZtO4U+JoqKl9N2vfzalr/ZEMTzFkTQEqWJuPgOfcWAA90am6FyDSjTUACXPHSoCGAFECefT23hxkUNlfkGEpdCvY6FSwsYMgAx7KHnO5E0yHbY2FipsX/dB5Yp6YGUDa3kDH+5Tp9QQwADYGtNZfgxbw0DmAsi37KzsKavsBiPur9T16xjaS/PH0z7e+d6wx/q7P/wgAsPhfUaLrehqwY3jdlFPIchvAak41PrTHAqB4or72cpGs+3zVwRyf6AE0t87dTzRUUAk6lF1W98dG0Xx1PJbC2N4884z6kaDIalyAwQn9uE6wYCfuIat7tg6kOPEjEdgeR3qkJniATzVzGe7RtfbrByiPOD2qrs4+afl5PRZBh+Ys4DUEPaUAZGwg2wo4GRTgvdW0ddzbksSjUYFnLhp6wFDDTo3vkZ2eB1s/Evr/8cd7INbOnsolc+ILAIsu6VjAKwHNnz3t9wiRv7hGuedJhcerSb5RQH/2e+P8XZ//MQBAAZ9VXue79pEBPJZSLhB0E1UX3JyGUdW+iWMcStBgE8bkGOhrzcDO3U/MQm3vPjIuyizgPBnwiqhnxLIVUEDt3adm4o5jm5MpMYisLfPJQBxWBuWcmn/ABsU3L0HFyWV897QfzRf4Ak8ta73O+0hjy6vWAtp8AZHMr/tfoOmQe7nJvTEDj+5kZtmdrlBl91XfAy4lAFACXN6xuBOBqBkpQ8vGsnANTd89nqUDOnF/QIl99VTiHJMNlD4yNt2g90B/n9Z485ON9RiwIIClllcC6SVgH14D9vsbygwvU2nmEqVJ75888r3889Hxc85/x/f/KACggPeU9ui4a+8UzWDeCVDPc0TsgFNzBtkN9VVXJqgrhyaoo6ARUMYBGFjFKZzr/7V3r1du40gYQP9sIHYmG5Mj2BAc0oQymWh5ZX+eUg1AkWrZrQfrHDVJoFAEC6gnQDY3X4KLALD8EncRcpNffO6X10tZMG1Gllz+QczOQ9E3STICQpmwrNxdE59gsIIUg4QaoZCAY1258EIkIY56CojllKRjXQmp/fJo2MbMysGnJFlCk5+ywW8KE8/c1/OxxoSEcPsRfGVCBmEEJUiQWG+CSKHx1EYvY+Erd5sClYTk9vflUc9l74R7ex5W2qqLROQo74OWMfEc+GPdH7/q1muhCSWHbnYV2kjE2+Ep6ANvQ5/wyth7RpA56Hw05yrOrB7OI8DDKQBMCYNnzJvVa9vbSHSxxqwBARVbmkj22+clD5OWlSXoFbjzJq94Vb3JJ+PO0idEgE9ArRCgj4ajeNOGEi/69C276NikwhswEYEJZ2mP4LIu3N4Izhnh5x9JLBPSkp74l1ARPIqJsiKMrB4eiXPjLbgm7ARZHwmV5wMUIUFi8fFCH9CgHOUhCARXnhA7ooPPLLJnZNl5A7OEYL6mKzuPBkVIKVNKaFBy9V9n/3zU88H79T7Z5r0KfBeesMasL8tNgXp+SpeiMxYULuUlnMMPfBDW8R4A5WV8hDV1xcBbgLwKCcooBgrRUi+PCmTuOe9zbeu1to8CD6kAMCeM3sPUWRv0xLTcadadJZThpRgCLKgYlctfwWumrLFJmiw7gSZEcJVTDhQLqyP5yAoDWWeKh5UcWT841sEllVgXwmDSslzcbS5qnaDwR8DFNam53Z6PK+tZCSuhJMQEmsARGMuFBMbzKHdPSpGgE36KwVE7z0pByD0QXvB1WWIUVkSgRn2qZWJ6ygqf9AldisOGI7RHwHOQZU+cHxwWmgKkDCgtz6CveMyNpwCMI6XNda8ATxv8HQHPy/3068viMRpTtPISWJ9faPSya9ej+35m2cMqgFuZOxsA9Gh9QipLb5BrPJhBILDi6wCLyOqiyxpYciNoLCvh4iqzMJSE8AHNbD0NDe47K2JSSSKNQJ6AkjLxWWeTlPDJRUh+iY23AreaJfOslJT7Ej4/ngPhoAxYZs8ny0+o3ZcAECptCQxlKVPPpffMW4HllvmnXKJoKBBKxqqEUGQE+qY/ErYjQRU2MQo8MJ6U1Rv894wUEkvtWeQxKsDL/o1annOehfGVe5BLEV5YKcruxT6vtOtl165zr0c6PoUCwLBrnsAaDoFIFptG56KbKGK8vcAqc9FjTSkBwo8mYRFrsugm4QhshjFRWCIWpwIvQVzKfeVms+Kem0LiHRAgOPnwSW3bz1ktOQxLbXuUR6djNYGS80xbgEdDAeKzfvMc8ILXQWgpBTmKKty8L2v8BLrv56/3pJzwB59l91loFl/+An39VCfHscVzCm0KngeEx4RenkimP7mBmWBrf21epj73erTjQysAzArznYeZKevXazjq0k5sbbMO68Qd3QMsoyUiS0hiZMkhFo2wik3R+++yQYhwoz+DZOxNOhZe/MoKiV/F03IXlIQEFroUDGttwvMMuLvqKCICJ6nIe+FFsLiUCGsmc71HGGp/5ScItHyEmJi7Lm+Bvn4TOLy0qgFYbolCbr68gJ9+UERWY/Rfn+QrCLv+Uw6edeYRpD928LHq+MszwRNhD6XoPl6OQkMoAIRU7hsPKHT6kaLMXhJ8Yhgyr+BmzqQs1+p62ewa7qPCwyuAMC6MnzE59fA7zqzMOrllQBaSsM1ATG3CJz/AdTbpeRY8ABuGKAHCy0qZ4JKFJuTaBpXcTzaeYJnQdhKKjy0tskojsMlHrM+tdU+WlgV0TYkAk1kegcDxUIQ/lIXlNNacwiHgLDXB9Ry2MtuFyLoSIDja8570ifJBn/DKc/B2hEMsuww7az8C+O5FCQgz4OOLfQ9bQI5Dnwk0gdcvioXLj9dWdGrYRVFQEMInvxl4VsqWJyH0AFvnTsebXc/u/SjlT6MAMCxCvsbsGY72acc626VWyyyvJXl3rmh/vEEmPpdFN/kkylg0wkWBiC8pCdaJVeMZOIefnYKN5MUlD4LrKV8gc22ii9dZ3jVPAhFC6Gs1nl1GnMApExujQ3DlPfTftb0A2aQk1OBNUCLcZzzKSgFrm8SdPmhLGYz2yF88zM8L3oElO56CZ6KgeAcUx+xlnUqHwqJkKS/CSjlS1PpBiVj14JXIUfCKAO/EaoZ1fPmGNZCz4X3xAiQM9RdkDjnPnElZriteykY48B4ZnkoBYGRncr8e4ewpgzsDH8JgcVkxk8dKAPdTPEvYlVveInwUgAksk826it0lHmcgtiUsrJuJTRhZZ3RZZlaZ4PTk1oyeclaQlyN5Z01+5lFUGpSbmNz9kyuh6PSLMtK3NXA/ytTefmPDOnPLCTLlxKOwtr62E9A7G2JwCkvfKQ33p2DxkhLQDwqKItPnKDsegZBlBBRheMCDMkYgAuz81vk0aofeo8N/Hr2DvX8GC7P9nNdruLeWyd5bi+Y6z7Ld2dhDsAgs4TQBq+dgsv9v2YHH4nKJLVnBl6iiKFgu1pTLDlgdcTYBMaEpCUKTcOOMVP7Y5MJbIGC23rJ82lBG4uAK+pKNTpn4tX50nmU6dRQPy83L4W7zLKIACKm+oP/3ssFK7Cz3IWlok47t0AECaqszgQb4Jv7XZ7wg3JQM5crNl5QTLugzzwRfCLjnoQS04blw3fENX5XxZGbCT7kK04AXlIy1Z6FkQQTYuTkE9pal3bnxk/x5Og8gfM3gVKb3slxrE7xRmfqUc49NbEIrJs9mITgVWHqrASYiy9zdfG6lyUtBWDrkDcgLmPzcWWGDCUiYTXhC5EUbOwi9Afh1sopQ+5Bz3oElLNtsCQ4FZrITBm4wi84Nl9Wu+xHsLGQVPSPLqm+y8awvHrjWpy/LEpv+UF4ElFLQZosbnz4ScAJLEN0TLcoD3ykIHpUy40Th6I99GpQET0SCk3LCU8qAApGPkEylnODbkyHpSYECdZ5dLkQbkHHOfKhlzlMevFFZcGrbWqb8WeBpFQAGZ5Aq8/eWEVxua6VHWGyQAdxZLmesB4sj/s86OcEmJCaZ+Hi0scUEtgWYN0A4xcLOuasmLkXDguo7ay4eJWAEYi9wswm2XILJzzL6ETLKitIhRPAkN4UtluaUs8QEkdLQL4LPqhIw3gCa+qbfe0BM7vl4EIQSz/RFqOQHWHu8Ed/zloQINamorX5QCNpbhbF1GW3CjR5lq8/aGzOhRpbykiR1r8yXe4QBoYXuM8JTKwAMj8A7z2CkLNfX8GrbiutlFPvkua4SdBJMElEUgGy/zLgJRgGwTgSNcMySZCZxYnsWTKad+8rFNamtBBBaExgtgmnL69oGFv0dAY+AokGDa/5R4FkQYnmArQDfa7M8Cf1g8SkXPOARUCq8AUlHAop3XHyKtL6kxfpTyvhUQVueFKVia7UXqfCTkqJwgS8121QEPjof0n40v843eMI/T5cD6Dw2KBkQR9cpS3kt077i5brjiuO54n5e45VEM3m5sLbTmnyE1IpCrD53nuWcQeJ+cTuLK0ygCLjUJr6MO4vGKtrqykpb8qNktOGV8ApYyTWw7VZYwboTuluBVZVrEA44Fx4RXkI3Ani8CMk1ytLees/HuusL4WStPadnzKqCZUjuvpBFHb4GrACw7KMEavIa6ikUdGzxtnoihBNyAaFHtn1nnJWbF4FR+VpZbRsaz3h8eg+gMj0DVgdnrUzb4Aavljmv5bbz+roPl97GFC6xmPqahaU0KIkqOARKolDMLaFIICS59Mc5BcHyu+a+c4dNaJOd8oELh0AKIXgkjuJn7QkiRaUdgRQf7wHeiVd+9Y1nImzwnNbvKSbJM+GBUIUC896DvAih5iWx/sIJyUz9FPLoH9ecIiGQoZd+oePZ0A14dt7VDCQOWX5eE29JWEN5BjK+rutYpnxUVnGDNytT/szwUgrAQGRARwOnPuXBq2XOt5Sb6Caxo2w4l5PbuhUIqMQgq8iim+TJOThSGASIS2w9m9UkGNxoQi3/EAHjOVACyggtPLEyPEqHVRVesJCEkScjjgaUBn6Im3PN4kv08WTcl9ASdoLr/oSa6+5elJGQRZ8JIAvM41DPkltRYY1ZakoTrh2Y3ZprT4i1k1BN3H7u1Mqf6o3wPtw/kHF2vWVMg7+GG5zc4xWOL6cAZgO+NrAZyDrA1/CtZ3PXgRh3zfUP/Rx90MIrrnILrB3lwVITIpaWEBEa1wErB3ISrGF2rfFACCtB0HeCTgEQUjRYXkcCTGApC8LnfvpMaLShaNyXh8IzQY9Qhk6WRQkxpcEDAHBZe/exGUeiVL/F6pKiNYmX53DkpVBgaOGzvus372FLjgH/3ItCAtfGCs6esa34oV3bq38VmPtWT/yEGSyDlwnWyzyeMr8McnBTV8tTNqJjXdnEZW0JhImcttp1kPQigJKChEkbAsAzIHS8iyr82tuy6geHIAPtfYiUx8BC8yYINHqsrZibMCerTzB5HZSG+/uhR9jlL3gNFJnwQZkfOuip524TXuGHDVCSoJSJ0ERbnoznrqHOuaM//wgnhD0EHz39oyi0l7GnSK6B3IKkoP0TXqwKZFxcd97P6lJe8VNW6dSy3O9Vji/pAdTBGQ3uqKwOuPM66DP83kaOwNdttoC9/t6TJ2yEyQdBWEzWltVm6b8srjl3/hpw/yW9WHnLlFn/JqispFUKNP1YaMoCsOCeTTlFwVMgnIReG4qKMFMABJ/Q6q9+8UJ4E2vxOQ9H7A8oODQIPd5SWjwotLyfkD6dkcsfIQjlEsi/4Mp1HSdls7HaUx7cTjv3fKXjS3oAdYAMYgbU0XUG1nXqbil3n0qLNfazL1+svQasPIEnJGJyS4fdZWbp/JQTnBlw4f0IFKvMM5C4I3y8EWUSYwSdQPEUlO0F3oWlRYqDta7Cz5uoYZC+WC7ldVjBoEwC+ibmtw6P/7yergB4H/IknisKIGOFTvgemrO6W8s7/dzn1Y4vrwAMWAbTZMiEUOaXa8fg5TjCR6+Wh37aCAd8ZyDfGmDpkiAkFCwYay2elphjUVl5E72DuNxvBLLdLD9B0Z5Q6wNhAvrI6nLLlVlaI0gUQl9PH9FPmfbCBoqD+/33smMR7SichDJfl52CdSsyzyMxemjlmG8b8iwouO/fv5+fwapH/osxhWD5Tl0APQozoB8VMgbKal0tn9UFv+NW+q94/vIhQB+0DLTyOthbytfa9DrXlaYvAdV/ECKGlcySiJMx956BffR7gQBRIoBCkVwTqwsHKAiZfDG2JTcZ+eQP1u7D0lue/Gt5DZeiIozaseJWEtATu98CBFjog66ciR+lZMUgWXxvataPpdRxcs/KV9e1fmvdqE0tQ/cd4O0UQAa1TpQ68FvK0Zi16XWu+9q0/yVokwyB4ibbw8/CiqnzPXztbgGuNcuJnj6y/Nbu7awbuf28A6FBBxt4bLelRHgYrG9yFR1367WEp63VEo9yHbwGystqBs8or2ij52Oq2cEX+nVslG0dg9pu1KaW5V7vcnxbBZABvjY54NUJUvF7neu99doQTO+ly4QTMln7JORiFeFdA8LvBRkbalhUm3S8qYjeLSDWt+HJz8rBlyVh5yOpo3BlRt97Fjwc3kdiebjie+ESJROQtOTRVNjLz9lYbSmv932b84Uxbw/LYNsTev51ZqTcsUIt73Xwev0IZ0nMDfEWr6De6l/nS2x/Uba4/qflU2CnxW0+LfsKTssGoNOyF/4C59aLRQmclv30pyU+P9NdtkiflrzGv8gtXsdpEfbTYt1/1S05j9Oyuee0rB6cy5b3CU5LnuDimZfXsH/h52T5RNgFzoh3nb9p61jranmt6+Xvev0WScBlQqzCMvjnetYmFidljinLUVnqNaztXI/qg+cI4HiNt0LoJ2moLklAS2V5wUUSz7KdffISdNxoCT8vzFi+k/2XY1AmGTn7/3v13rNza/eW/7JJSM5CYtBqgKVArrx43tKh8yQYlQltrNVnKTD3qLxL2bdv3379J6CUdbzw55b6tO00Q+tdj28fAowGPpNFXZ8wW+tGbZXV9q5Bv8eP0jGuOh+xFEeL322b9cnubO+1BGjXoLwD11tI4R9oBMT2hFVOoC7jqSeoVhUIO2G2shAQkljHd18KgDv/9ec3CyQz7WugLDpYwpSYHMFWXnS8zq9aP6vr5aP+vGPZoQBWRn3LxNK8T67aLuQ7jvIRnvIRrnIwa/Oj9vKv2N8/0qjJNEtwlu5qlj2tJOMoEAJOofBE9MWbhd699618bddgre/2MsgrdBi1GT1nx6s4s7pe3u/97teHAtgwA7ZMtJDpE662neEoH+Gt4acuR9uEZdj/BFip8O+2r8HeZxrhX+PnrL6XX+vru9YfCmDHyNcJ2idYrUOy1yvrODO8Ga7ygKU5b+M9AvieopzDDHyiy+fTRrCVJx2v8zf1vXx0z6PsHw4cCuAfXmw+y2RLgz7prtVr13FmtFK+1qbi1PPer1q353zW1xmNtfvOaI3adNyOU+t73axvR/klBw4FcMmPXVd1Amo4moRbcLTteMoCI7qpy3GtfXDuefxon2bt+3OM8CrOqP6ez/nqtA4FcKcRrpMSydHE7DgzPOUjXOWBEf3Ufcbx1v6O2o2ereKN6j/jmV/hnocCuPMo1oka0qMJO8KDP8INnVmb1PfjGq2Ou3Z9z/vOaI362nFHOGv9Puquc+BQANd5dDNGn8AIjSbxCC83HeGnLse19sH5HceP9m3Uvj/LCOd3PMu70jwUwB8a+T6x3XY2uUe4vZuzth3vT11/pM+97aM925/i4Wfc51AAn8D1PuHThbWJP2uTtv24Rqvjbrm+5/1HtO7d3y3PdOAsuaaF8T82wh/c+DQOjAQindkyPGvtQ+d3HD/Sty1tf0efD5qXHDgUwCU/HuLqmkA/qvCs9ftR+/wQA/6JnTgUwCcyf++t1wSs07q3wG29973v25/ruL4vBw4FcF9+fhq1rQJ6jw4eQn4PLj4GjeN7AI8xDh/uxSGUH2bhWxK47VtRb8mq46EPDrweBw4F8HpjejzRwYHNHDgUwGZWHYgHB16PA/8HY87LklfpxMEAAAAASUVORK5CYII=", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Function to visualize the magnitude on the bispectral set\n", "function ApApproximation.bispectral2cart{N,T<:Complex}(af::BispInterpolation{N,T}) \n", " normalize(x) = C.*x/maximum(C.*x) + (1-C)\n", " bispectral2cart(abs(af)) |> normalize\n", "end\n", "\n", "convert(Image,bispectral2cart(af))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To check the correctedness of the approximation, let us invert it and plot the result." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0.310831 seconds (89.25 k allocations: 120.502 MB, 7.37% gc time)\n", "\n", "Norm: 80.34\n", "\n", "Maximal and minimum values of the resulting image: (0.00114868342988095,1.1690480646497152)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@time f2 = iap(af, J);\n", "\n", "println()\n", "println(\"Norm: $(norm(vec(f2.f),2) |> x->round(x,2))\")\n", "println()\n", "\n", "extr = extrema(bispectral2cart(f2, clamped = false))\n", "println(\"Maximal and minimum values of the resulting image: $extr\")\n", "\n", "convert(Image, bispectral2cart(f2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison with direct computation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us check that this is indeed correct, by comparing the results obtained via the inverse interpolation `iap` and those given by a direct (although arguably naive) implementation of the operator $\\text{ev}$ which `iap` encodes. Namely, we will directly compute\n", "$$\n", " \\text{ev}(v)_{i,j} = \\sum_{k=0}^{Q-1} \\sum_{m=0}^{M-1} v_{k,m} e^{i \\lambda_k \\rho_j \\cos\\left(\\alpha_j-\\omega_k + 2\\pi\\left(\\frac n N- \\frac m M\\right)\\right)}, \\quad j=0,\\ldots,Q-1, \\,n=0,\\ldots,N-1.\n", "$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "ev (generic function with 2 methods)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Base.exp(x::Frequency) = exp(im*x.λ*cos(angle(x)))\n", "\n", "function Base.exp(x::Frequency, y::Frequency)\n", " ApApproximation.composition(x,y) |> exp\n", "end\n", "\n", "ev(af::BispInterpolation) = ev(af, af.E)\n", "function ev{N,T}(af::BispInterpolation, F::BispectralSet{N,T})\n", " f = Array{Complex128, 2}(size(F)...)\n", " for n in 1:size(f,2), j in 1:size(f,1)\n", " f[j,n] = sum([ af.f[k,m]*exp(af.E[k,m],F[j,n]) for k in 1:size(af.E,1), m in 1:size(af.E,2) ])\n", " end\n", " BispInterpolation{N,Float64}(real(f), F)\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since this implementation is very slow, we will check this on a smaller bispectral set, using the `f1` we computed earlier." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "af1 = ap(f1)\n", "convert(Image, bispectral2cart(af1))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AP interpolation timing: 0.023765741\n", "Direct computation timing: 0.585881294\n", "Direct computation is 25 times slower\n", "Relative L^2 error between the two: 8.367031079887469e-15\n" ] } ], "source": [ "ev(f1) # Dry run for compilation\n", "iap(f1) # Dry run for compilation\n", "\n", "tic() \n", "f1_ap = iap(f1)\n", "t_ap = toq()\n", "\n", "tic()\n", "f1_ev = ev(f1)\n", "t_ev = toq()\n", "\n", "println(\"AP interpolation timing: $t_ap\")\n", "println(\"Direct computation timing: $t_ev\")\n", "println(\"Direct computation is $(round(Int,t_ev/t_ap)) times slower\")\n", "println(\"Relative L^2 error between the two: $(norm(vec(f1_ev.f - f1_ap.f) ,2)/norm(vec(f1_ap.f),2))\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Effect of rototranslations\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us first consider the effects of a rotation of a multiple of $2\\pi/N$. Since both $E$ and $F$ are invariant under such operation, this works perfectly." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Rotation of 0.31 π radiants\n", " 0.500582 seconds (552.11 k allocations: 140.418 MB, 4.71% gc time)\n", "Maximal and minimum values of the resulting image: (-0.002656607925107941,1.1732923937002935)\n", "\n", "Norm: 80.34\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Rotation angle\n", "rot = 2pi/N * 10\n", "\n", "println(\"Rotation of $(round(2/N*10,2)) π radiants\")\n", "@time f2 = rotate(af, rot) |> x -> iap(x, J);\n", "\n", "extr = extrema(bispectral2cart(f2, clamped = false))\n", "println(\"Maximal and minimum values of the resulting image: $extr\")\n", "\n", "println()\n", "println(\"Norm: $(norm(vec(f2.f),2) |> x->round(x,2))\")\n", "println()\n", "\n", "convert(Image, bispectral2cart(f2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although the interpolation procedure yields a good approximation on the set $E$, the almost periodic function hereby obtained has very huge values outside of this set. This is evident when applying the effect of a translation on the frequencies `af`." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Translation of (15.0,26.0)\n", " 0.386654 seconds (612.09 k allocations: 132.744 MB, 4.09% gc time)\n", "Maximal and minimum values of the resulting image: (-5.251488268890373e9,5.227383188592967e9)\n", "\n", "Norm: 3.038669619154e10\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Translation (in polar coordinates)\n", "ρ = 30.\n", "θ = pi/3\n", "println(\"Translation of $(map(x->round(x,1),(ρ*cos(θ), ρ*sin(θ))))\")\n", "@time f2 = translate(af, ρ, θ) |> x -> iap(x, J);\n", "\n", "extr = extrema(bispectral2cart(f2, clamped = false))\n", "println(\"Maximal and minimum values of the resulting image: $extr\")\n", "\n", "println()\n", "println(\"Norm: $(norm(vec(f2.f),2) |> x->round(x,2))\")\n", "println()\n", "\n", "convert(Image, bispectral2cart(f2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Almost periodic approximation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To solve the above problem, the solution we propose is to look for an AP approximation of the starting image. That is, one considers a set of frequencies $F$ of size $P\\times N$, where $P\\le Q$, and looks for the AP function having frequencies in $F$ which better approximates the image on the set $E$. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Does v agree with P? true\n" ] } ], "source": [ "P, M = Q, N\n", "\n", "max_λ = 2. \n", "step_λ = max_λ / (Q/4)\n", "\n", "v = [ (4, step_λ:step_λ:max_λ) ];\n", "\n", "Pv = sum([v[i][1]*length(v[i][2]) for i in 1:length(v)])\n", "println(\"Does v agree with P? $(Pv == P)\")\n", "\n", "F = BispectralSet(N, v);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have also the possibility of fixing weights on the frequencies of $F$. In this example, we want the image to be concentrated on low frequencies and so we use the following weight function, in this case for $\\alpha = 100$,\n", "$$\n", " w(\\Lambda) = \n", " \\begin{cases}\n", " \\frac \\alpha{10} &\\qquad \\text{if } |\\Lambda|\\le 1\\\\\n", " \\alpha &\\qquad \\text{if } 1<|\\Lambda|\\le\\frac32\\\\\n", " 100\\alpha &\\qquad \\text{if } |\\Lambda|>\\frac32\\\\\n", " \\end{cases}\n", "$$" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating Bessel matrices: \n", " 4.234691 seconds (20.67 M allocations: 1.159 GB, 11.04% gc time)\n", "AP approximation: \n", " 0.833126 seconds (57.38 k allocations: 514.658 MB, 5.07% gc time)\n", "\n", "Norm: 0.21\n", "\n", "The norm of the AP interpolation is 0.0026 time bigger than that of the image\n", "The norm of the AP approximation is 10^(10.9) time bigger than that of the AP interpolation\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "quarter = round(Int,size(F,1)/4)\n", "α = 100\n", "d = [ ones(2quarter)*α/10; \n", " ones(quarter)*α; \n", " ones(size(F,1) - 3*quarter)*1e2α; ]\n", "\n", "println(\"Generating Bessel matrices: \")\n", "@time J_int = BesselMatrix(E,F, weights = d);\n", "println(\"AP approximation: \")\n", "@time af_int = ap(f, F, J_int)\n", "\n", "println()\n", "println(\"Norm: $(norm(vec(af_int.f),2) |> x->round(x,2))\")\n", "println()\n", "\n", "diff = norm(vec(af_int.f))/norm(vec(f.f)) |> x->round(x,4) \n", "println(\"The norm of the AP interpolation is $diff time bigger than that of the image\")\n", "\n", "diff = norm(vec(af.f))/norm(vec(af_int.f)) |> log10 |> x->round(x,1)\n", "println(\"The norm of the AP approximation is 10^($diff) time bigger than that of the AP interpolation\")\n", "\n", "convert(Image, bispectral2cart(af_int))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Inverse AP approximation: \n", " 0.299711 seconds (56.57 k allocations: 119.100 MB, 40.29% gc time)\n", "\n", "Norm: 80.04\n", "\n", "Maximal and minimum values of the resulting image: (0.04979510184542568,1.1218260495103878)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "println(\"Inverse AP approximation: \")\n", "@time f_int = iap(af_int, E, J_int)\n", "\n", "println()\n", "println(\"Norm: $(norm(vec(f_int.f),2) |> x->round(x,2))\")\n", "println()\n", "\n", "extr = extrema(bispectral2cart(f_int, clamped = false))\n", "println(\"Maximal and minimum values of the resulting image: $extr\")\n", "\n", "convert(Image, bispectral2cart(f_int))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rotations are still ok." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Rotation of 0.31 π radiants\n", " 0.228769 seconds (62.29 k allocations: 119.683 MB, 8.75% gc time)\n", "Maximal and minimum values of the resulting image: (0.04603306009408884,1.115020067738925)\n", "\n", "Norm: 80.04\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Rotation angle\n", "rot = 2pi/N * 10\n", "\n", "println(\"Rotation of $(round(2/N*10,2)) π radiants\")\n", "@time f_rot = rotate(af_int, rot) |> x -> iap(x, E, J_int);\n", "\n", "extr = extrema(bispectral2cart(f_rot, clamped = false))\n", "println(\"Maximal and minimum values of the resulting image: $extr\")\n", "\n", "println()\n", "println(\"Norm: $(norm(vec(f_rot.f),2) |> x->round(x,2))\")\n", "println()\n", "\n", "convert(Image, bispectral2cart(f_rot))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same translation test as before, now yields a correct result." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0.379982 seconds (579.12 k allocations: 131.404 MB, 4.45% gc time)\n", "\n", "Norm: 79.05\n", "\n", "Maximal and minimum values of the resulting image: (-4.034788932307314,1.572113018642201)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Gray Images.Image with:\n", " data: 256×256 Array{Float64,2}\n", " properties:\n", " timedim: 0\n", " colorspace: Gray\n", " colordim: 0\n", " spatialorder: y x\n", " pixelspacing: 1.0 1.0" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@time f_trans = translate(af_int, ρ, θ) |> x -> iap(x, E, J_int)\n", "\n", "println()\n", "println(\"Norm: $(norm(vec(f_trans.f),2) |> x->round(x,2))\")\n", "println()\n", "\n", "extr = extrema(bispectral2cart(f_trans, clamped = false))\n", "println(\"Maximal and minimum values of the resulting image: $extr\")\n", "\n", "convert(Image, bispectral2cart(f_trans))" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 0.5.0", "language": "julia", "name": "julia-0.5" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.5.0" } }, "nbformat": 4, "nbformat_minor": 0 }