{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Newton Method\n", "=============\n", "\n*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_matlab/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n"], "metadata": {}, "cell_type": "markdown"}, {"source": ["This tour explores the use of the Newton method for the unconstrained\n", "optimization of a smooth function"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('solutions/optim_2_newton')"]}, {"source": ["Newton Method for Unconstrained Problems\n", "----------------------------------------\n", "We test here Newton method for the minimization of a 2-D function.\n", "\n", "\n", "We define a highly anisotropic function,\n", "the Rosenbrock function\n", "\n", "$$ g(x) = (1-x_1)^2 + 100 (x_2-x_1^2)^2 $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f = @(x1,x2)(1-x1).^2 + 100*(x2-x1.^2).^2;"]}, {"source": ["The minimum of the function is reached at $x^\\star=(1,1)$ and\n", "$f(x^\\star)=0$.\n", "\n", "\n", "Evaluate the function on a regular grid."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["x1 = linspace(-2,2,150);\n", "x2 = linspace(-.5,3,150);\n", "[X2,X1] = meshgrid(x2,x1);\n", "F = f(X1,X2);"]}, {"source": ["3-D display."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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Sm1lYqLxEPdHyJfzJQa2ul+Ee3OcPbsPQzPJy5ZbOzPL50OsWp7kCALRv3dKd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\n", "output_type": "display_data"}], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; \n", "surf(x2,x1, F, perform_hist_eq(F, 'linear') ); \n", "% shading interp;\n", "% camlight;\n", "% axis tight;\n", "% colormap jet;"]}, {"source": ["2-D display (histogram equalization helps to better visualize\n", "the iso-contours)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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fA04Xpc8n3Ln7Fv4FSrtiqYF+0GxZdBq3TsvE0/NrM5i5lqgUO0KQpR8h/2+4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\nAAC6hBsYAAB0CcL1UH6W30p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"output_type": "display_data"}], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot( perform_hist_eq(F, 'linear') );\n", "colormap jet(256);"]}, {"source": ["Gradient descent methods, that only use first order (gradient)\n", "information about $f$ are not able to efficiently minimize this\n", "function because of its high anisotropy.\n", "\n", "\n", "Define the gradient of $f$\n", "$$ \\nabla g(x) = \\pa{ \\pd{g(x)}{x_1}, \\pd{g(x)}{x_2} } =\n", " \\pa{ 2 (x_1-1) + 400 x_1 (x_1^2-x_2),\n", " 200 (x_2-x_1^2) } \\in \\RR^2. $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["gradf = @(x1,x2)[2*(x1-1) + 400*x1.*(x1.^2-x2); 200*(x2-x1.^2)];\n", "Gradf = @(x)gradf(x(1),x(2));"]}, {"source": ["Compute its Hessian\n", "$$\n", " Hf(x) =\n", " \\begin{pmatrix}$\n", " \\frac{\\partial^2 g(x)}{\\partial x_1^2} &\n", " \\frac{\\partial^2 g(x)}{\\partial x_1 \\partial x_2} \\\\\n", " \\frac{\\partial^2 g(x)}{\\partial x_1 \\partial x_2} &\n", " \\frac{\\partial^2 g(x)}{\\partial x_2^2}$\n", " \\end{pmatrix}$\n", " =\n", " \\begin{pmatrix}$\n", " 2 + 400 (x_1^2-x_2) + 800 x_1^2 & -400 x_1 \\\\\n", " -400 x_1 & 200\n", " \\end{pmatrix} \\in \\RR^{2 \\times 2}$\n", "$$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["hessf = @(x1,x2)[2 + 400*(x1.^2-x2) + 800*x1.^2, -400*x1; ...\n", " -400*x1, 200];\n", "Hessf = @(x)hessf(x(1),x(2));"]}, {"source": ["The Newton descent method starting from some $x^{(0)} \\in \\RR^2$,\n", "$$ x^{(\\ell+1)} = x^{(\\ell)} - Hf( x^{(\\ell)} )^{-1} \\nabla f(x^{(\\ell)}). $$"], "metadata": {}, "cell_type": "markdown"}, {"source": ["__Exercise 1__\n", "\n", "Implement the Newton algorithm.\n", "Display the evolution of $f(x^{(\\ell)})$ and $\\norm{x^{(\\ell)}-x^{(+\\infty)}}$\n", "during the iterations.\n", "isplay"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 2__\n", "\n", "Display the evolution of $x^{(\\ell)}$, from several starting points."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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5dyWfLngl9SJGXyFZNjUCAObpKoEJgT80+xlnLyLaiFvELxvJ9y+XLrl2YXZ57SU1vi/9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\nvcQZCcdbmp/lVk9zempRaWo99drc9Uo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"output_type": "display_data"}], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Gradient and Divergence of Images\n", "---------------------------------\n", "Local differential operators like gradient, divergence and laplacian are\n", "the building blocks for variational image processing.\n", "\n", "\n", "Load an image $g \\in \\RR^N$ of $N=n \\times n$ pixels."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 256;\n", "g = rescale( load_image('lena',n) );"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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w49amHroaGQ7AH098N7e5Tg4rX9DDEAEOz98DjNKHnrZnISkCzgM734OBE9eQ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biD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\nNYh618Ur1yk3PIt9+/ZBWrNYLHJ4cV4codFo0FH1+cs+ujlLI8S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"output_type": "display_data"}], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(g);"]}, {"source": ["For continuous functions, the gradient reads\n", "$$ \\nabla g(x) = \\pa{ \\pd{g(x)}{x_1}, \\pd{g(x)}{x_2} } \\in \\RR^2. $$\n", "(note that here, the variable $x$ denotes the 2-D spacial position).\n", "\n", "\n", "We discretize this differential operator using first order finite\n", "differences.\n", "$$ (\\nabla g)_i = ( g_{i_1,i_2}-g_{i_1-1,i_2}, g_{i_1,i_2}-g_{i_1,i_2-1} ) \\in \\RR^2. $$\n", "Note that for simplity we use periodic boundary conditions.\n", "\n", "\n", "Compute its gradient, using finite differences."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["s = [n 1:n-1];\n", "grad = @(f)cat(3, f-f(s,:), f-f(:,s));"]}, {"source": ["One thus has $ \\nabla : \\RR^N \\mapsto \\RR^{N \\times 2}. $"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["v = grad(g);"]}, {"source": ["One can display each of its components."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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KOXAzIRLpMXcSJ118xHH6HViyOKSRtSvSeV1brELVL+nyZQNgtRFu4BtY1krT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\nuWLzWigUYHInk0l+PR6Pz8zM7O3tEcnYt6SfrVZrZGQE+GJ6elojEx6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ZqVD5v5FIhAyP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\nAYN/mBn9Y2uPAAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(v(:,:,1), 'd/dx', 1,2,1);\n", "imageplot(v(:,:,2), 'd/dy', 1,2,2);"]}, {"source": ["One can also display it using a color image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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JuXe3x9WHsJAKrlYxDf5T/kEB+MM/Yv6BXL1xlMesRErRh9bID9NanF0dBmoc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wPfqi0pK4ajfCK+Gzs0R/IveeVxPI7JZbOll9ztRsua5wQQUAyeCm1R3ebKSXZ2KPkvWoK/Ux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k0Ce6RRZOqupJDlMsN76e00gbIUraM8k+q4C9RBcN4xspgrYnjl3hTx5kzbRwfpKzuP2FMi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\ntIqblc+VX604X1r32OvXpJlN6Bj3NkIsZ658F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"output_type": "display_data"}], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; \n", "imageplot(v);"]}, {"source": ["One can display its magnitude $\\norm{\\nabla g(x)}$, which is large near edges."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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8MWEBR9IejdKCvQ3wRT09C5zJa+s4QNWTaiFQx2nRSboELFCNRKPyPbX1LEAF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\nEKFEBkwIIUQo+R8V0G/RnzeDswAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; \n", "imageplot( sqrt( sum3(v.^2,3) ) );"]}, {"source": ["The divergence operator maps vector field to images.\n", "For continuous vector fields $v(x) \\in \\RR^2$, it is defined as\n", "$$ \\text{div}(v)(x) = \\pd{v_1(x)}{x_1} + \\pd{v_2(x)}{x_2} \\in \\RR. $$\n", "(note that here, the variable $x$ denotes the 2-D spacial position).\n", "It is minus the adjoint of the gadient, i.e. $\\text{div} = - \\nabla^*$.\n", "\n", "\n", "It is discretized, for $v=(v^1,v^2)$ as\n", "$$ \\text{div}(v)_i = v^1_{i_1+1,i_2} - v^1_{i_1,i_2} + v^2_{i_1,i_2+1} - v^2_{i_1,i_2} . $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["t = [2:n 1];\n", "div = @(v)v(t,:,1)-v(:,:,1) + v(:,t,2)-v(:,:,2);"]}, {"source": ["The Laplacian operatore is defined as $\\Delta=\\text{div} \\circ \\nabla =\n", "-\\nabla^* \\circ \\nabla$. It is thus a negative symmetric operator."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["delta = @(f)div(grad(f));"]}, {"source": ["Display $\\Delta f_0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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ZHCWfFJAplUpUQLsU9eFwWGpPl4BuB+VNBisUCtFa3q0rYgtwVSwRm16v5ypO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M3MzEARyufzud1uCouYTCbElD6fD+dKp9M9PT0glSwtLY2OjiJEGBkZAaLY2tqay+UOHjwoIufO\nndu9e/fjjz8uIqlU6otf/CIm5LXXXrvrrrvwV9Fo9PDhw3yiMDDqF1NqmXR50Xh0pGbUtYZYKl0W\nUJsoKrd4elnAq7ZO5vOm1ixTFtnr9ZK7GAwGwdN56623SGoABxXXyGKAp5566qmnnnrxxRdxaoAZ\nHR0dFNcA2MszsvdeQ0MDiwFMJhMCTSLDqFMmhMg+rkRK1TZjrG6moJq8ndBhsVhIj2LXWcRnFNFW\n+8TyNS8UCt/+9rdFt9sx3YGtqz3xxBOA/qmpYzab2X+hXC4T3mHmAH4ILzDyTGRpkyrG9VrFD9kz\nM5PJQD5D3p5mIxYPWhReS7z/XAIoc0dYCa89KZSsg+E1ImGD8YTDYTgwlBmBIQ0qOdIeMzMzWLxG\nR0ePHj361FNPichHP/rRxx57DD8OhUIYg8/nW1hYAChXLBbh9vbu3RuNRrH0oGcu1gvuDyDdxJaM\nVE5ix0UsN/gSsn6dnZ34DBQuEAhs27btueeeE5FgMMh+ob29vViPYrGY1+uFb3C5XOgSifEA9Gtp\naVldXQXJLRwOgywuCtEUAhNYst96663BwUGWENDVAVoUEafTubKyAnx1cXERD8O+ffuee+45ZPU2\nbty4c+dOzI/VasX8Y5OEm8U9kN1uZ3NnSLOzpYu6s6F/4tOF9oy842p7RnxDoBtfYruztLTkdDrZ\nyhkzhrIBbJhQroBnKRQKYeTwInhrXC7XAw88AF1EbKr47OGwKysroVCICVRVAYStEpLJJEmGda2z\nZbVaVZPEt4CByBoyL0gkkJcMN0/5EmKM2Njxy1sayarcXRFZXV39u7/7O9HtdkzPga2rcXPncDjw\nHEMJSQ2V8EAzxQW9QfY15g+4RiNJxhWHqLrNZmN5GX+ATTRWXkruiojVasViCnE2rJWlUgkr+9ra\nGg+L15vpaDUso8dl0q5cLsMf/OY3vzl69Cgo7BaLxe/3I8DatGkTGA379+9/4YUX/vAP/1BEHnvs\nsT179jASxTzEYjGsCCKyurqK5NDy8rLaHKulpYVuCctNNBq94447sFW3WCwejweTRo5MvV53u93g\nShiNRuTw8WOq65IbEolEXC4XmOtzc3MUkHW5XAi2oOKIKyqXy2B2TE9Pb9u2DR5lbGzM5/Pt2LFD\nRJaWluB+UKf805/+VES6urq6urpQ3N3d3Y0bgYpyLIXIQeKK+vv7sQ/4/e9/f/r0aUR+W7ZsWVpa\nAq2/Xq9jb4S1kuUEzPeI0i7ZarVi9iiVWSgUSJ1H82WWG7J4nJ29sB/Ckclrz+fzKysreB4OHTqE\nntciUq1W4ZOy2SzFwAwGg9vtxrswNTWFUzQ2NsZisZdeeklETp48+fOf/5w+g7X5tVoNpwBmAO4M\nRbDwBmEeUHNJYgULTthyTy1kpvNGgSb9NGlWqBgRrbE4hQWoQarmAkXLJtLNo7Ues4ZqsbNu79D0\nHJhuuummm27vSdMjsHU1u91O1Vd8Y7VaCVmkUikqwFLxAfwlquMQY6HQOGqQubkG1CMaLi+aXD27\nHVqtViBF2ACK1i0CEU8ikQgGgxgkIx7EZwwXRISBDjMZVPt1u92s2cxms2hi2dDQkEgkqGcxOjoK\nZfqRkREENFeuXNm9e/fvfvc7ETl48CCap4jSGAVMaBQXHzhwADRxm80WCASQXgIFkdlE/HlfXx8Y\nbrxMhGtGoxHIJJIxuAqoymLa5+fnjx49KiKTk5PogigiwWDQ7/ejRHp6ehoJqnq9fuXKFcwYCG8Q\n+2D7zQceeOCll17CVRw5cmR5efmNN94QkS1btoAe+eKLL05NTX3jG98QkYWFhQsXLgDznJmZweQA\ntsXdjEQibrcb3587dw6jPX/+/Kc+9Sn81ezsLJU4mIuCfgSiH7ZIRg0yS4+ZE2IMrULWtzRcRmiY\nSqWI8YqSF1xdXUUI2NjYeN999+G8kUgkn88jwE0mk7gRYKUzQCkWi0BNjUYjHsjx8fGTJ0/+x3/8\nByaKV8HgBpk85iOr1Sp77rD8P51OIwLLZDLEvdWKlHw+z2ALoiSioIW4cLUYQDRCI6nzrE5hZpFV\nKKKh9Gq1tWi4LiudiVvo9s5Nd2DrahS8YH4YFVR40JHKwnJst9vJkkevW9F6ceFQ5GjcQuKgaBtR\nMnSAxWKKRhhsBEzokpwREclms+zyRaFxt9tNZRCmmng56GfBsZESApU/0dYpLAGzs7N79uwZGhoS\nkc2bN+PDkSNHRkdHwVMYHx83m81gTnu9Xmp4z83NwWekUimcy2AwLC4uwg3gFPi+UCiwzkw0AjQW\nbqCFVqsVEiGlUimRSGC0fr+/UCgAnTt27Bgk29GBRSVhY2m+44474LRKpVIqlQKkGY1Gm5qa4Fzd\nbjcgxIsXL1oslj179ojIM888s2fPHrifZDIJqPDuu+/+zGc+A0J8b2+v3+8HCNbd3Q2g1efzseFv\nT08P2xZfvnwZd+0rX/mKxWJR6fvsm6XSLnAEPCTy9u48DQ0NlIo3GAwUHmP2lBJ/mFXcFKPRmE6n\niSsmk0m2fPv4xz8uIpFIZHl5GaMFIEmsD0djWwbMXqFQIOsBZI3Dhw8fP34cGpjRaDQQCGDaiW3y\nYRNNC5RdVDjaUChE7RIm8FQVTW7mgGeymRmbTVM2nu+d6n5YNIIzYsawOSA6ypeFlWRQvaEL1CHE\nd2G6A1tXYyaD4RES6WQloV2hKJl25BXwSkC3V61NES1BQiSduTGXywWAHm6P9arooSXKm4/jk1xH\nNUVmUNBIkGw00dB87sSR/2B5JouaKZyKujeMuaenZ3h4eOvWrSIyOTkJgt9rr722a9cuXNHIyMix\nY8dQbrV//35s8CF/jCBjbGwMZV6xWKy1tRU+CcRCrNGtra04L3qE0puyBoglt8ixYUojkYjFYgGX\nb2xsDNcIvUHMg9PpvHDhAkvQcDmDg4MDAwNwt2ghj7wUN+DRaPT973//P/7jP4rI17/+9UcffRQq\ni88888x3vvMdEXnxxRefeOKJH/zgByJy4sQJr9eLNXpsbAyKkalUan5+Hs1Quru7R0ZGnn32WVzm\nH//xH4tIoVD4/e9/j2egvb1dDZVIZoG7EqW7FZgsuBw0rmRkVtWapjIHiVpdUvWYLaPG2Orqajwe\n/9rXviYiS0tLcP+JRMLtdqv8IJyCUEQ4HI5Go1zxmQ8bGRl56KGHROTgwYMnTpwg8SEej+MqyGzC\n/cUz0N7eHovFcEXpdJplXuVyGexf7KJuaceKrBi9oGjMwLW1NZwXrxKefLocUK74UqhZVVUUVNWB\nJBWL75fdbsfAvF6vHoG9C9NzYLrppptuur0nTafRr6v9/Oc/Z3qJrFzKj1KsWpQKHpfLRZKVKHkp\nUSpsyGXK5/MulwvHKRQKZHyJRt4Fw4qnJsHM6XQidkEcQz4hjg/WGTae2J5js8kKKgR5hHTU9BtC\nJRF59dVXP/zhD4vImTNndu3a9dprr4nI9u3bwUbbsWPHjRs3oPB7zz33nD59Gv0Mn3zySVDGjUaj\nzWbD7DkcDuCZqK+C6Hs2m83n81DlWFlZwa6/sbExHo+rI8dFNTc3z83NYT6ptGu1WtkpO5vNAjIC\n+5H1QIVCASkuSsVnMplYLIbLhGgykjdutxsA4K5du375y19+5StfEZFnn332E5/4BEQ3Nm3aBPX9\nmzdvfvazn6USxwc+8AEIbWQymZ07d4pIJBJpbGzE9M7NzR0/fvyDH/ygiBw+fBixy3PPPdfY2Ign\nBykl3HT0GhYt30OQCvFiKBRaW1ujuAmhRbZkRNGFWmLI541BzPz8PH6wefPmzs5ONMEJh8M4hdo/\nAbEvZjKRSODLaDSKYeCwHo8HtQeRSOTv//7vReTEiRPEFZGdwtjcbjceBsQulIlh4Fuv1xlout1u\noLK4ucRXWWeiqm/U63U+3kTjqdCvMuPZkRyRFt8FauWwOAxKURiYmgjgTCIC/vM//3PR7XZMd2Dr\nao899hhbPZFwDDFD0UShWINCeJ0QFgUPRSm9QlqbooUsQ1HbWIjSkYhJ7AatIXqtVuMSjKJRvLdE\nh+DeyPjga2m328koUQUMSTWuVCpINXm93scffxzqQf39/RcvXkS666WXXjp27JiInDhxYseOHVib\nkslkOBxGRmfLli3walu3bl1YWMCSZDAYQM0IhUIOhwNpfyzBmFXK5ANMY1LEYrHgCHNzc5ilpqYm\nTm8sFtu3bx+adLS2tsI/IVuDy3S5XJ2dnSgGGBkZ4Yrc0tLCZCE7S8ViMfinjRs3FgoFHO3AgQPo\nPS0iTz/99B133CEigUBgdHQUSGl/f7/f74cb6O/vp+D6li1bULx85cqVD33oQyiSW11dxT6gr68P\nLVdEq6/A/BP4gr4lgTh2C2PnMFQy4cdQSZe3I9LqGs1M7eLi4rZt28B2GRsbGx4eRuqR8wz2EAaD\nsgHcLJvNRiEo4JAY1ZkzZ/D5L/7iL6CcmU6nuUZBl5KSTgTb0QZMtGI1PIfNzc2Yxp6eHpPJxPpL\nwIaiZNHQRgdfopQFY6BKFnwPn386SM4Y3mKWgfP9Yhsj5NhUxTguAnyDVldX/+Zv/kZ0ux3TIUTd\ndNNNN93ek6aTONbVuI+jkCv2jKo6NXnP3NxRmQk4HguZmaPmpg/76FuEcAANIURAra4qviAiJpMJ\nvAPRGFlsV4g4JplMNjc3gxYBPBOb32Qyif0s1Cgofq9yjhGv9PT0ZLNZ9K68du3a/v37UZp69OjR\nX//61yLy4Q9/eHR0FBHJ6Ohod3c3xjA7OwuNpXK5DK1xEVleXgbBL5lMgqgiIk1NTeVyGXEMawzK\n5TLDEdDAqBSFkWcyGYohQS6EwvMo4gZpDZK4Xq/3ueeegxjVsWPHSGSIx+P48ezs7MDAAIKtS5cu\nIcocHh7u6OjYvXs3fgBEUUTa29vR2ur06dNzc3OATGOxmM1mYyvne++9F2P40Y9+hC8/97nPeb1e\ngJNXrlyBjsna2hrLb8HFwBhIvQExRyW/iQgagLEnltqXjrG72oAYdHMRGRoawp361re+NTw8/PTT\nT2NyWMObz+eBo66urpZKJWB9lUrFarVi2kmcQW0DHqfXX39dRBCF/Pa3v+XAWJWBO0iGBZ6xXC6H\nnm04BYruMdXQa3Y4HMlkkhwlUqLYwQu0C1w7wnFyLKn3xuAJ5cl8rfCYoXyCjfr4sjNmVYMtEkaq\n1WqpVGITURY46/bOTZ+ydTU6MDQpF5FsNgtqO36gdgKE84C+HOuxKBCVzWbptNjWHZA6cR7ypihj\nA2SS3VJ4BOJL+IFaGyQiDocDDD3RpA5VxExEmpqaVHaWKCsgvpyfn//kJz8Jp3XfffedO3fugQce\nEJGnn34a6Zw33niDHZmPHDnyyiuv3HfffSLy+uuv44CpVCocDkPPorGxEQOz2+1U4jCZTDdv3iRA\nhB8Ui0XSFC0WSyAQuHjxooi43W5eArqKYLTpdBozmc1m4RsAzcEv/uIXv7jzzjvf//73i8js7CyW\nvFgshpVIRPx+fzgchqTThg0bwKcfGBgIh8PXrl0Tkf379z/zzDOYk7vuuguqSJlM5siRI5jeiYmJ\ntrY2zN4dd9yBRe1f//VfTSYThCLD4fDIyAjmoaOjg+klKGWIJmDIRqNkh7vdbng1lpRVq1WWTwCI\nZtNtlWhOFZihoSHsG77//e+DZPjaa6+xHWgwGKQGlYjAxYJ5iMEEAgFWcSWTSdJi7Xb76dOnRWRl\nZeXHP/4xGlqy14loGwvcIJfLxZwcDpvL5SqVClNNbIRt0Jq4+v3+dDrNpjCUzBdNIANbPbWkhA1T\ncDl478jMxHYHGwXc95rSfJl1YPBwBB7VDQSlvFhmRwqobrdl+pStqzFUQt5YNFgf7wl6UzE3wAav\nTAvDV+FlNpvNTLkTaodHYfTDNhAGg4GuiH/Iuh9Q82taG3X2RrJarUir4EtGfqxoYSGzutnEaBmN\nUa+2qakJY5idnd23bx9qlh988MHf//73ItLR0eHxeNBPubW1tVarQZDp0KFDYFuA1YI1i710c7lc\na2srnNbExITX66X7Z8+zWCzGbw6KLAAAIABJREFUBXRiYgK7cpZSRaPRa9euccVZW1tD4VooFEK9\nVygUmp2dxXL8xS9+cW5uDqpRTqcTgUU0Gh0YGKB80bVr11Dp/KUvfQnVSx6PJ5lMQozq2WefjUQi\nCLaWlpZOnTolIl/96lcbGhqQ4jp27FgymUTAt3HjxkceeQSHfeihhzDg8+fP5/N5pJrwzIhIsVi0\nWq1GraU9VXc5D5DcJBUCdwdVGQwR6F24g8Gqisjv8uXL//RP/wQ3nEgk4JuTyeTmzZvJTagr3eww\nMNIoRKt/osgyY7W5uTmc4kc/+tEzzzzDB5WF/Ha7nQ1QWCBI+gPkwVjI73A4sF9xu92g4eDW8GXh\nZo76arek+kwmE7O5nFLRQqtsNouLQvkmafTqZ1wa6t74gqg5aTYqI8NFt3dneg5MN910002396Tp\nEdi6GvWtiRmitJm8WxLe+Mt6vZ7P59UWydQwVXNd1FAg7gGJUtF0BFSyGXamhC8KhQITZvV6ncLz\n2WyWEIpoeIuIqLRyZlOoq41Bcgzk1pOy2NjYyOaWL7/8MljyLS0tZ86cQVHzG2+8cdddd4Ff197e\nji055a8wMMI1drsdpPNgMMjO1Ha7nQTohoYGpFhmZ2chIyIiJ0+exA/cbvexY8egHzE1NVWv11Ev\nTB7j+Ph4MBhE6TF+QCEi0CPf9773JZNJhqpTU1MgGVINJB6Pezwe/LhYLH7jG9/4xS9+ISKxWAyh\nmNFoPHXqFO5gKBQiQ/J73/se9DsGBwfr9TqOEI/HN2zYAHCMsQISotTUoCwvrxcsRMT0jY2NKBuA\nPBibevBuMiYwGAzDw8MIcI8fP378+HGEyP39/eD3//znP+/s7IR00/Xr17ds2YLITLSoC6MisZYl\nHKxnuHr16vXr19HI9LHHHuNzSBxPTRJbLBY2RqH6DNJ7jGncbjfF2MCAnZ2dRbZP3s4nFC0sAyzJ\nIpYGrfMkKwfU2WNvUtEKVESDaglLEIBl8gwvBXVh2K+cujnES3S7LdNp9OtqTzzxBPjfdD/MSImm\njKBiPiLicrlIZwd8j88EIlS3BySQSAUV7axWK3AVLOXkaBBKSqfTqlQH3QAGBq+J97ZWqzFXL5on\nRloFiyYWFGocEMsKBAJAxh555JEvfOELUJAaHBzEWuxyuXK5HLjOXV1dDQ0NUI2ampqitha1rxKJ\nBPJeGzZsOH36NKnbyWQSUh2JRII0E6RAMDD2m06n0xBptNvtb7zxBljpGzdunJ6exuna29sxOTMz\nM01NTRRLDAaDoKL89Kc//fSnPy1aDgY3cX5+vqurC5m8/v5+5JycTqfVan3++edF5HOf+9wrr7yC\nI9hsNjjvlZWVf/mXf/n+97+P6X355ZfR4Wzv3r3wppVK5dKlSxgPYNJb1CggxIfbXa1WKcLCkias\n2sT3+OdEp1VJJ/YvjsfjO3fuBNME+oonT57EeB588EERGR8fv3TpEiQzXn755V27duHxZiIqEolQ\nBQaEGpA74vE4OtQcO3bsYx/7GD4DZCOUx5Y9anIOuxlRNMawaVO1vqjeRLEVXjv6hmOiKpUKnRZ3\ne0AIuctUa79YsMUMmSg1LUz+iea80Zec+KpapaDy7NnCJpVK/dVf/ZXodjumR2Draul0uqa1qMeq\nCieBN8rhcKjFxVj6+Ut5e3CD/oGi7RPVUmi+VFjlKeYkWpcWpqPxosJ7sZCzXC5j9c/n8+SwUQsO\nKwvWEZ/PpybnqE/odrtxUkYAyKvhBW5tbR0aGgK3cHFxEYeFxh0SRTdv3rRYLFgBWdBtsVhSqRQu\n1mq1YhG5fv16IBBgMt/v98NnUKkIQpH40u12kxfQ19eHEba1tX3kIx/BTJ45c8ZsNoNfNzw8XNO6\nXDZozQy7urp8Ph9YBgcPHsS1o+QZdxDODOwPeHoRmZubc7lcOGw0Gt2/fz/Sfvfddx/u1C9/+cu9\ne/fCYY+MjDz//PNg4sViMQzs7NmzPp+PXcQo1kfqDcp7Ka2EJVtEXC4XMkBIFNENqEJT1DdiPszh\ncDCYsFgsCKouX77c1NSEkq9Tp06hWu7QoUOLi4vYi+zevXt0dBQh49DQEPwBWH9qrxMkCF9//fW/\n/uu/FpFgMPi73/0Ozy3IMqw6582KRqMIcNE5D+EjWRWIeHBpiPZwam5iMpkMHTk8PY5A5iG2WWwP\ny12OyWTCGBA8kTZMbpTVaiXqAOhClNAQezIKCvPNJbhC3IXvrG63a3oOTDfddNNNt/ek6RHYuprP\n58M+jpq8AMHZBERFS9QGr4QyqEPDIi3EB9js4wcEYbhFVTUF2MeSaIzZbGY2BUQyKlepeA4FPkQL\n+7gLVmu/kOdgx0tcWrVaTafTqKD60pe+9MgjjwCYMhgM2C9PTEyEw2GETZlMprm5mRttoJEq1g1Y\nVbQCHbKlC4UCozHs2avV6uLiIoq0gsFgrVbDZU5PT+Owr7/+us/nQzS2YcMGt9sN0mOlUoFuSDab\n5SDT6TT466IoMiAxg5tVKBQYv87NzWHMXV1d6EKJ2ZuYmMDGnww0g8HwzW9+81e/+pWITE1Nff3r\nX0fY5HQ6X375ZRFpb2/HPRKNgUmdCyK01LZAnIp7wdo76FOwwSNlXFgwl8/n7XY78L3FxUWml86d\nOwfZ5YMHD167dg3JqmPHjgEmnZycPHbsGFJ6nZ2dXq8X8xAKhXAENIrETUmn0xMTE4jnfvaznyFz\nefXq1QalPypbq7DEymazOZ1OUnaNRiNqFqnzBGyAuLrH40Er54GBATQWqNVqaPqKKWWlRL1ex4vg\ndDoJDyBEw4Bx62955plCAz2Ybysxdl4OqKFqgIUHhk1nRMligh4put2m6TmwdbWf/exnwAPJ5UXK\nilllFdJhTl5tU8IqFqLn6XSasAYpHvL2HJhoySpU0pDWrMKGzKag8FO0F1s0b0qmMl9Rvn74km84\ni9hEUc2nit22bdump6dRSLR582Z4mpWVFRaQlkqlz3/+88gJbdy4EUBoMpmkG3a73VwC6DAWFxeZ\nxYGfFq0XFLHWer0Ov9jW1oYPkMkHXFmtVjOZDL6vVqugANBT4nobGhpQb/vQQw8hW1YqlZqbm8Gz\n93q9KPoWEYvFgrxjV1cX9wrBYBAXLiJHjhxBYRxaWOH7lpaWT3/60wDlFhYWsPAhK0NeDFX+1O71\nBADRdJjtvLGqorSLhRBqOockglqtxuo6PBjIkuIGoSkJTvf8889Ds79SqczOzsLtlcvlUChEjgZL\nnbLZLOZhbGxs27ZtaLNy+fJlvghUoAclB5sJMolMJhNaCsj/KtLCuTweTyqVwtPrdrvJm6hq/ZTT\n6bTH42FXOdTtibbzEC0Pzb8ym81EC/Gl2lu5oaFB7ciseiaynFQeCueBybNsNousbSqVYnuKfD5f\nKpW+/e1vi263YzqEqJtuuumm23vSdAhxXc1sNrOIkhxclu4jiEEEIApwwQ11sVhUOXWMIcgrQ5Ey\nIQ61cxiJZypNkdCNKKoEjMZKpRIpy6qGPfkjxBXBB2EBALer3HVidw8YbXJycu/evWDJs5gaMBGg\ns927d7/yyivY1/t8PjIwbTYbroItgFHuinmAEgTCplgsxjaMTU1NgNEuXLjA0uxqtQpWxWuvvbZj\nxw4IB4PpgPvS1dWFD+Bl4K9cLtfQ0BDCNRYOBwIBis3Pzs62tLRgeFarFXgjNIhRFn348OGZmRkw\nHSYmJnArd+3ade3atb1794qI0WicnZ2Fju2dd96JcAThF28QxZDk7UQAdiRAZ1RRaDiof2fTONw1\nFBtg9iBXRvgOdw3hKX7sdDqj0Si+v+eee0Cq/NCHPtTf3w/qzX/+538GAgE8GD6fDyOMx+PUcPnK\nV77icrlQ3K0+5EajEaFzPB5PpVIqZVE0AJDRP6F1dtICfErNp3w+j1L0TCaDG+F0OnmKRCJBjJ2F\nHwiqiEWpWsYsQsAwMDkUClBLnkVTzVaFNpgpwBuKyfF4PIQEOOfsG6DbbZkOIa6r/dd//RfeOvm/\nCOioMWI9Fkl96HsrmuQa3hnC+qKoukFgmy8VteSRm8ER2D+TMhnERuTtpGRSs6AIRTiRjo3IJ9ZH\npruIMZK7CMoyX+wNGzYAc5ucnASFHWALKGqHDh0aGRnp7OwUrSOliOTzeavVStImZqyhoaFSqZCx\nvWHDBuQ/eI2lUimXy+G8g4ODsVgMzVDYO7i/v39hYQGrG1QNKUyFv0KSEpgPYExML7n1mUxmfn4e\nUocrKytgsYtINptFni8Wi9W11qAmk+nSpUvwVfl8Hut4rVZrb2+HNMnDDz/8z//8z5/85CdFZGlp\niRw2ZlNAwsYNQoYJIwdDT7QkDfsbsGKP/HJ2P8jn8wTEsBfh7gr3Gs8V5txsNpPTSPWTJ5544t57\n7+VTNDMzgw2E0+lkG9INGzZgkIFAIJFIsFGLWrlIziSE09RXBk0jmWLEtgZHZjNVg8GA5z8UCnG3\nl8lk6PIJioKeCgAWaDkOy2VQTRiLhg2SXihvr7/kWwO75a/wLjM5x5eiXq+zTAWsYPxJIpH47ne/\nK7rdjukObF3t0UcfxU5cNJWdWq2WyWSwaEIsFesFk9hYo1VYX20UIlp4xBiuUqmoDgnG6jG8zPRV\neNOg4koJH4rlMMBSX2DkgfD2ck1UzwhtVopUcQBqDNHR0YF5WFlZqWsNusjOR0cSUhKY6vB6vfgr\npMdFy1hgHhobGycmJjBUSqPa7faOjo4TJ06IiMVi8Xg8cEUkmrvdbm72jUZjIpFgIg07brvdnslk\nMHvFYtHr9eIPU6kU1uW2tjan04kuIS6Xi3tqehE1P4/8IkrQhoaG4OHQlRjPAMRkMW+RSASHAs2E\n1REotsWNw+XMz8+zqxY2Cmr7LhHJ5XKhUAiXmUgkcFij0UhnZjabWcxEhwE9MxZdgEOBI6CCbWxs\nbG1tDXfq2LFj//7v/44i7kgkwt4uZrMZzsxut7POATMpWl0H7jtqSBhL4Q4iRifbhXsmi8WC+ceb\nwi7MVBaNRqPUfGKVCF4WpqyY9xUtcVWr1YrFIgW6KFTIp5fuFkR/PvnUV1N/yWAO+ASzmKyF52te\nq9WSyeRf/uVfim63Y3oOTDfddNNNt/ek6TmwdTWqrBKJKhaLwWAQqQ4RsdlsAEPYysHj8WSzWW76\nSJfihg4wkSrjRIoaaVHFYhGBBWI1kqRx3mAwSEFh9Alk6oWEYLVDSqlUUgVyRNMyx8h9Ph/rtRnt\n1ZSm0uBMYuuaSCS2bNkiIqhgxZfpdJr9JElLQ6sUKiSRUBcKhSAFOzExwSYpDQ0NaONSq9WuXr0K\nGr3X681kMkTMqM1qMBgQDUSjURZ3u1wuHBbK9yAWDg8PDw4OAvzMZrMEG9kiANL47ANCAVlqXwUC\ngXq9Drl6EkqNRmMkEgFKXKlUyPM2m80YLfJwZELW63VWviMkxUkp9MBSWVY3t7W15XI5Kg5Tq5fU\nRJDsWU5L6Jj5NovFYrfbMSehUIhg79NPP42c01tvvbVz506MhxURIBbiIWlubr558yYABvYNx4vA\ny2HsyAxxNptlSATjnCBERuEHEXKr1YqAz+PxqLRA3BTiFjAmwygPDaSU8CY/iAKY4whMbuEWM71N\nAEO05CX/lqUsDKAhlCVKjxXdbst0B7auRgIFJfXQ5IKf+fTT1aVSqVvyYVzE6WZYUQRPw/wHG08w\nVw++Nan2rAES7R1zu92QyBOFAY/zUuyDi5rT6aTj5ICRtKCcD/0x1yzU3GDtpvJ9pVIpFotY9Y4c\nObK6uopLhhYUhsFmXWiSIiLVanVubg7LkN/vNxgMTDHC5aAbPa7d4XB0dna++OKLItLe3o5sCtjn\npB4sLy9jOV5dXYUvnJub6+7upjJFOp1G6+pSqQRZer/f7/F4QKkHpZsiFFib8vm83+8n3lssFuEG\nPvvZz0J4aXl5ORaL3X333SJy/vx5r9eL9ZrYJtkxnH+s3blcjrWAokFhBoOBSzD0t3AKcnZ4QFRo\n4EvkojDIQqHADuC1Wg0TFY1GK5UK6DCsQbx48eL999//3//935jwcDiMHgKNjY34q0wmQ7k/wGW3\ncNyBsyGLubq6GggEACdarVbc63g87vP5+HhzkE6nEw8hHDbFQpPJJNNOLKVgsxKobHDnR59Bng6c\nOnPA9O6cZIvFgvfOZrNxG4Tj41EnYgywl5fJ87IYEc1f6O0ouKPbOzfdga2r0f2wkSAy53iIE4kE\ny7/UX1arVcpBsX6TeSAkBtTNJumCahoMp4CkG97wUqmEVWZlZSUYDGKVV3NX6FckWjpa3UWyYz1J\nhqJkwljgyRy1KA3MkMLBOtXQ0IBTtLS0DA8PIyeEAI49X3BwhH1YI1paWjDOZDK5trYGTwMlXyyF\nlUoFcdKuXbsY1LpcrtnZWYRN4XCYusDksKHVE5bg7du3s2YZeTJMaSKRgO9cWVlBRe358+ePHTuG\nkWNycEUIPkRz0kgaPfHEE2xuaTAYUO/ldDq7uroQuzgcDqfTWdH64JBeyKjL6/WWy2WMh1VE+F+2\niGSQXSwW4SNRIHyLFh+cBzNAfISYXkKEjQfDbrfj1CKSSqUwCfF4fG5ubteuXSKyuLhIId1arYbL\n8fl8kUgErMvl5eV6vY4nGTV5om2hUCgWDAaTySRTv0grAh6gQCirCcnTQbMVbFx8Ph+PwEuDUiie\nATx7VGujR2e4LAormBMFhhEJn0xr4b6ItoHjto91ZhWlE6ZoAZ9arIk0mCiFobrdlulBq2666aab\nbu9J0yOwdTVVHZwYWrlcBnrgdDr5A8J3KCuhdAKpUwZNrhuQOnl0KIsRjXcuGpmK7TFJoyIlzOl0\nsvYLIvfMkTDeYodcIJOUMsIgUVKjMhLZyZDKp1QlwDYcirdDQ0OoIoI+AtSbotFoJpOh+rBKPsbG\nv1QqIZ1jtVobGxvxg6WlJQgxiEgkEsGfz8/PNzc3AxVMJBJLS0tg5+fzeXbHEE3veG1trb29HSJJ\nN2/eRICVzWYnJia2b98uGgEdp+jt7cXsra6uUlcC0Qb+kChoqVS68847f/zjH4tIMpn84Ac/iCjw\npZdeQkDT3Nzc3t6OWjQUHuDIxLLATQUYiK7HDKEIl/F2OByOTCZD/VzS1onaIdUkWhCvomSslGCb\nZjUyYxMAAr+BQCAWi6FN840bN6xWKzDG+fl5xqnkLqpYN/l7AAARqqZSKaPRiFOnUincNRV8MxgM\nrGZj1qper8diMcw5niJWjzCQArTOS6OkExmYfNTxfvHtM2oNLdWGrmqnHlVfjQJdfMdZaoa3g+RP\nNnzh+05arG63ZboDW1fjy8MXFbloOo+q1jSIsL6qNaXq1lBPCPQHHo3qQcQSnU4nlbnL5XKpVEIW\nJ5/Pq7wAjBAOFZ/Js4dTJJzFkkyCHuAQM2Hj9/uxbla0Xu9QIucrmkwm4UiQchONys/eypT58Xg8\nAKNAj8YpYrEY9fIzmQx8IY4PuUWTyQR0FEL7SK3F43H26FpeXiZtXTQ3hpQPCsVGRkbwpdfrzeVy\nSHHhdrDDL375P//zPx//+MfRCAZQGAbMXMj+/ft/8pOfwEf+wR/8gYhAjCqRSABLnJ+fb2pqwnqd\nSqXi8TjcwMLCAhIzWPIoPM99g0Hr4BWNRkOhEGqwIpEIqRCqShPdHvn9QBopuE4QDJwR0bqT4C6D\nE8Snlxgjag9EpKur69q1a9DUn52dJc2HnAXgxrgvvINIQBo0HX2il4ATcV6VjsGqCRUy5eSAk4Kr\noKcB/4V1BarsIRwn3hp8iQ0KN5H06CRZsIpL1T/EvVY3naIRRui0uB0htgwws6K1NGJxt27v3HQI\nUTfddNNNt/ek6RHYuhozwLVaDaATlEPJH6PgAjd0QF1YI0mus9qOkpoa0P7Btj2Xy3Gv6na7uWUm\nS55iSKJ0yFUltEVhXnHkSHeTkYgtOeBB7HyDwWA0GsUuFSo+8nbwB+PBKZqbm1lCgGbEIgJGPqNS\njmHTpk1gPXi9XkKUxWIR8cSmTZuWl5cBQlK0d21tbWpqqru7W0QWFhagWC8KC7RYLBI2bGpqKpVK\nmL3W1lZwBbu6uiqVCgZpNpvb29sRjakh6erqKunUlPUymUxoR4kGlV/72tcwDxcvXgQ9ZN++fXwG\nUqkUtu0dHR1U7arVagjLFhcXPR4PNvtoQ0UxCMR8GzdutNlsmD1WI4iiDQ1kmDq5vLnk5hiUNmPk\nhoDOwDbNpIEwTqrX6xRGEpF8Pg84kZwI3HSSKlGuiz/EX6VSqaamJpwC58KpV1ZWCFcS08PcMtgi\n9UYtSmEFNAOsaDRKNAJVGYit+d4BR+U7aNR6W/PtAGRa0/osE8MnGxNlKuRM8fZBB060Qn7qp1CF\np1AosD26TuJ4F6Y7sHU1VWgA7PBEIkHR62q1ysa4aht10SpRkEni088WfFQlxw+4DPGXpM6DH0jW\nNd8ZIoeAB/FSZbNZ6r9Vq1V8mU6nKQavJkvoDrPZ7JNPPvlnf/ZnIrK4uEhNQshcidZsGov4wYMH\nf/jDH4rI4OBgZ2cnsD5VXqhcLoPgV6vV3nzzTXy2Wq0o83I6nbt37wbhsFarud1uaLrv27ePaZ7O\nzk4MbGZm5siRI/AZTMbk83muaEaj0WKxgPwWDodxI6CRgXkYHR2dm5vDkrR161acYseOHRcuXNi3\nb59orTgxOQMDA+gYcvLkyS984QuYvfPnz6fTaUhJIZvFGwEgbnV1dfPmzfCdTqcTiCg5eKL1EOB6\nDYddq9VmZ2cxYBW5KpVKeMzi8TjJrqJoT9DDsdmKKO7Hbrcz94lqLbaF5F6E3VLgpZDJa2trw+SA\nUcku5FDux2XisI2Njaq6IJ89n89HaRhWNHo8HgoGEiYtlUrBYJDymGxEAF0b0aonuV9xu93E/dQ8\nHP9cTfsxGUzEnqllJOfok1gcif7O+HM2vsHzfEtHbFQHkh7JXaNu79x0B7auxsoe9ll2uVxkRWPP\nSHFVuhzWXSEJQWEno9ZXVy1YIVdCLXmmeh5YyKRg0HHSX/KVFq1oTLTXj6lvFq+gaEa0fSuu4uzZ\ns9/97nexkJGpj6ANl4akPT5ns9lt27aJpvpKYSRmephdn5qa6u3txV9RpziZTF68eBEL1tjYmMFg\n2Llzpyhqv+3t7dVqFd4OmUJOFLxLd3e3zWZDWID4jI4Tp8CSiuvdsmXL2NjY5OSkiDQ3N2Mt3r9/\n/6OPPkriRqVSAWN+bm7u+PHjIvLpT3/aYrFMTEyIyMLCwqFDh1AFHAgE4HIymQyXQq/Xu7KyQlek\ntq0hHcZut+MGsVELNvt0A6w0Eo2fgsow3lauxeRzI/rBP6kOhcqtBq35DquayESHt8CPIdaMy3z/\n+9+Pejufz6fCA/V6Hb6ZGs2oAOHpfD4fHjkWI2LLxd7iVH82GAy47+h1QhIKf4Ae36I1WaYmZ6lU\nYnyJa8dbg/OizAs/zufzLKDmKUj9QGKYNR583VR2Ppj0oiEZOAXDQUhRs5KMGma6vXPTc2C66aab\nbrq9J02PwNbVuNkkjID9I7Zs2DgTAMGuDaks7oIJ+hHzQSMGCo1Tq5T1mNgGqmK+pDJTrompBf65\nKCAkOJNMDDQ0NPAzxXi4ZT5y5Mi1a9dwBFC6ReusiH10oVAgtFIoFO68804R+bd/+zefzwceHQJN\nhm7oqxsMBovFIiDEa9euIfqBNgQUMbZt22bQWrow6urq6komk319fSJy+fJlqsFWq1Uo6kICGEky\nqNyy/ye2yYFAwOfzAVcUEZfL9fnPf15EXnjhBQRSvb29y8vLZ86cEZHOzk4GHGAnitZD4Ny5cyLy\ngQ98YH5+HrAea4TB88b+HZE3Am5kdHCEXC6HSwNzHQFfKpViDpJCG/hz8voYIlCYihkjlN/iukwm\nE7Evkr/xA2IGiNQxaST6q7RVVluHQiHQMpubm0mVRGhIViRiR7fbzap2RD+8CuZZqc6Fh1AtT8Yv\nM5kMAk1AEcB7mUZFdxicAlXerLhnSo8oosFgYDaLp4Axm8sBkBYL+EGt0xcNMlV59jwC6+LVYhhW\nUuv2zk13YOtqapW+ykrHGw5FQaKF1DKnciD6uhKgoA/A4iKaO6TcIvNtxBtV+W21Mz2Ft5HYp9iH\nqqbIBYVugM04stks+REghfMVxZ9DsI6qemRexGIxwIYbNmyIRCKYB6iNYDyzs7NYrI1GYz6fB0LV\n29sL57Ft27aRkRFqTaX+H3tvGhznVaWPH3Wr970ltXbJki2vsuU1dhI7cew4IRhiMCSBTCCEMGxT\nwFCEYZmwzAwDmQwU2wQmBQQCgaRcIYlJQkhwYhwbL7G875atfemWutX7ru7+f3jqferi+X2Iqfqr\nylXv+ZDqyN3vct/33nPPc57znHgc24IzZ87ccsstuBg04cUpzp8/z/QDskfxeJzqJ1gK4TitVitQ\n0La2tkKhAMb8M888s3XrVkh1NDU1oYLN7/fPzMxAhT2dTns8HpR8LV++HFduNptfeOGFDRs2iEgi\nkVD1TbDUov4JCBJuAYtasVikdBMWVhEJBoPt7e0gktDlAPCk0ANBKlU/hRsaVfOQv8LzxfOikArW\nYlUAia0SyGgQRcgql8thTCYmJlCqkU6n/X4/cmALFy5Uhd4JG1osFoxDMpn0+/2A1ovFoqoaSjdM\nr8PMpcPhGBoaIpRNzFOtmCSlHnIt3A6qqqEEQjkm/NUVs4lzmfsDXC2ZNaz/42ZRpT5RdA0zlzj/\nFX1kdHs7pg/ZrBoJfoC/Rdv9qYJpTEuoOWHmflSpQ8qPqkqgLGoWhW+mFocVi0XSFDGB1SYUcJYM\nsOjw1NQ064FE84VgP6KyJxwOM3+O9U60QjFGgSrhCty59evXP/XUU9zPNjc3w1fV1dUhoeX3+5mf\nHxwchJs5depUT08PRuzUqVMdHR0osSLNxOVyTU1NYTFtbGx8+eWX0WqL68XBgweXLVvGxJjD4cDR\npqen8SuUFiECW7RoUWtbnlIgAAAgAElEQVRr66uvvioi8+fPR71XpVLZvHnz008/LSL/9V//9ZWv\nfAU1vD09PXDYr7322qZNm+BE8/k8CstEUbNE50NEhENDQ2TBeb1e7nKqq6uxsjc1NU1OTpa1nqVq\nATtzomqQzW2QaFkfKlUmEgnG0DgUq27pqKqUro/IdOLv7HlGTgQuEi9MX18fEoHBYHBgYACBNd5t\njAkLeBG741doSYpTOJ1OfFMt7UINFi64pqaGCUJKZ+G+8F8SO9XqfnUbx19hynCPqEo9MTnNiFCN\nyUqlEjNnlB5VE4SMwNBl9IocmKoGwDPqdlWm58B000033XS7Jk2PwGbVSqUS0JJCoYAYolQqpdNp\nin+TwsTMARIDpKtZLBZ8md9E3MakBbNrhCuNRiO7EptMJpKkCTwaDIZsNqvuxHG13KJewUAjMCVK\nQwqUZIlIIBAgj4vIDAl1oilBUIkYfPpisbh48WImLeLxOH6IBiUiEgwGa2trMXrMVNXW1pZKpb/8\n5S8isnbtWoPBgDimvb0dO9++vr6Ojg6ESi0tLe973/v+8Ic/iMhHPvKRPXv2iEhdXR3HIZfL5fN5\n4H79/f1ABd94441bbrkFR+ju7j548GC11jsUp4hEIsuWLQMJ/mc/+1kulwNL3mg0ounzokWLpqam\n2PQ5mUwatX6GBLvi8ThCFuhI4RGTXIrUEcYBOVGMHpWdy0rLbDzfK4ApVYmDXUZVbWhVx4jwNYIJ\n0kFFkbFnOEJFfAgjARA+f/78pk2bROTSpUvlchlSKZlMJhgM4vPk5CRfb1XMmhBFqVRCQJ9KpZi0\nQzSGwamqqkJoDnySealKpcLu5LxTxLiipff42qstUThQapEAiY6sg1R1vIhtGo1GQprEV5FWxJV7\nPB6q4VAdLZvNYj6qs1W3qzLdgc2qUfOGTRmQc1aVmZiPobQgADoRQadjwhqceFwKAa+rE1L+thkK\n6qPpDpkwV6Xr6VxR8iUi8H88QjqdZncxrmgqhinKSofVDTgne6wQ+h8dHcWt3XjjjUuXLkWd8qJF\ni/bv348q4OnpaRyqra1tamoKF+xyuYCntbS0BINBrGjYHIClzSquycnJtWvXopqqXC5nMpkPf/jD\nIvL73/8eF3DjjTeyc0oymWxqasLqMzExsX79ehFZuXLl5cuXsS6fO3du69atKEn2+XxAxmKxmMFg\nQDOUF1544Y477sDo7d+/Hw8CVUp8KNQnZB6oUCgUCgX4yFKpZLfbgV5OTk5iAQUHAW+O3W5nHbFa\nTM3Ui1pyxMVapWOQ/A1OEDsJgIuP6yHpgNgaKqlZH8acE+Frh8ORz+dxPS6Xi7srs9kMQo3P52O3\nFELWuDB+ZrnhzMwM7tHpdGYyGWpycqdVLBZB5Llw4YLb7WZ6STSEkIUHan20KCwM0bZfKAqkvBal\ntpjiotMSJcWltsbGDo/+EscHJMtiNZfLRRfFMn+yq1SIXre3bzqEqJtuuumm2zVpegQ2q8b+QKym\nBAWRfA1o2opIIpEAuY6bQREhu1o0MFA0xVUCgASFCP5As4B9ArnhZfq9rLQTE01/QRQYEzR6JtXJ\noyMXA9twtUkVISyKMFEjFURKfJ6YmPjCF74gIi+++OKpU6cQSy1cuLCpqQmgnM/nA0YkIg0NDdB8\nikQi0AKGPAcgOxQAkGSIgGbLli1nzpwBh/D06dPLly///e9/LyJdXV1A5EKhkNfrBRilhqoiQm73\nwMAA2IAdHR0vvPACaCBdXV0nT57EHwuFwpNPPiki9957b0NDw6FDh/AEIc8RiUTALxVtV86dOIVO\nnE4nRTcMBgM4lnV1dRWtb7XZbMatIT5ggEXunM1mo2oU5Y5EC4hFaV/AnzPsgFEMgo+SEYZoCr+E\nT8lXZHSC2IgSLRg9xCVEKdHbU0QymQwDqZmZGaKFJDgQykaTPBwhmUwydKMMNCSyMJIgdODU5DH+\nX6l4ghy8TRb1FwoFp9OJI6s8RnWUyIznBCkrzUIJsGNaEXFh6EYh70wmQxUeSlXpdlWmO7BZNfaA\nZ59G4EikZjmdToBj5KrBcxCIYOdy6iZgPVI57jgXEUIgTkxaqKUnqqoblyQ25GVNGFiFapqBcCIB\nH6rJIVtAKIlCeehFIiK1tbU2mw2o3VtvvfXoo49iQDo7O//0pz/hC62trXCuiUQCd2GxWMLhMNxh\nT08P1sGBgQGHwwHvMjk5yc/Dw8MAAMPhMCl5ra2tu3btguczGo2oZHK5XJFIBN4FCBWG3efz4WoD\ngQCTlG63++LFi5/97GdF5MUXXwTbsLOz8wc/+AH6rTQ2Np4+fRplcFu2bAF0hgohPGIMglHr78z9\nAXXNh4aGampq0AFyZGSEVXREjEXbzYgGVYnWGpvcd34m+w6rJx83hSG4RoM6r2bURBOOUasJWe9B\nCSVoW4i2cBu13uLcfjFZha49eHtDoRCG1Ov15nI53LvP50NFAW6KmUJCcwaDgTs8VBOKtpMzao0a\nVK4sOZNms5mMf6q1cbujwqcGgyGRSFBzS9XRIErPei/k5ETTuMIXqB6J8gxWC6iiJ+TolrTmL2Th\n63ZVpjuwWbVIJIK5EYvFqL9HdnilUmFKnARcvNkzWpNlu90OD0dWOjet+KwuaqxHoUdR011WqxXr\nY1VVFfu8IFag76SaIsMyLF7seASPgnw4Na5E27Sm02k1FIA0rYg899xzKEkulUpf/vKXReTgwYM2\nm+3mm28WkVOnTsViMdAxLly4gJlvNBrD4TC26jU1NQMDAzhLLBbDH6emporFInv7khkPnUAM7623\n3ooLGB0dBVkDrbao9EoNRjgkXIDH4yF9v6Wl5ZVXXhGRjo6OZcuWicgf/vCHQqGwceNGPNZdu3a9\n613vEi2AEy2DwmyWaGlO0Xo3W63WyclJKFQ9+OCDbrcbsZ2IsGAZQk2iMW4oDEbxJ9GynihyIKEc\njhN5L1JyKFzLzA2We5Lv+Uax7BeJMTYEYQ1WNpvFO2C32xn0M8BCXSOGwul0BgIBvL0NDQ3s3MZ3\nb3x8nMq/lCvDy6leJDnoLKbmdhA+gy6B0lnctCHH9n/1stXiYuYIydMBB4SUKIwMhKbgn0jMEUWI\nCyJkKmGK+wMG0KzaJPlet6syPQemm2666abbNWm6z59VczgcgJXcbjdZT2DTirI1hmFPBySQO1Aw\n6UVrqyEaOkGgny3yGGA5HA5uybPZLFuZsOsxsCPyqUqlEvsUc4NP0XFs6lmSDDQGFGoK81CzmLAh\ntsMIlZ555pnOzs7bbrsNpwAJHvmA+vp6ETl+/Hhrayv0LB544AEkh+LxuM/nQ9AzPj6OoGr+/Pmr\nV6/GF+x2ezabhUTF3LlzcQGxWMzv9+N2bDbb1NQUSXdEw5LJJHb9Vqt1bGwMd8Qe1tXV1S0tLUjI\nBYPB5cuXF7U2ypADPnny5D/+4z/iYT3//PMbN26kVAT21NFotLW1lXRBIlTMRQ0MDLhcrq9//esi\n0tvbe/LkSXzB5XJRV2zRokUIOrHBx74euh6iRd6E0ShnBcqiaOAzY3r2xmRaCx8waEzKApHDobLZ\nrNvtxoXx7VXL1dWK4+rqauiVdHR0HDhwAMF0X19fIBDA4PT390MJBZEWEWmr1coMLs5rs9kSiQRL\nRyhTgrSfaA0qWZBAFB0SvaIk/3jLOJ0aXALFFS0Xxfp9HDYej7PrLIWvQAElKks2Jtu9AvxX88S8\nDDVuZmcAPQL7O0wfslk1JoqIpGNlwXrkcrlUMBDvt8fjIUcDGk7UViBDWrQctdVq5ZKk+idOWrfb\nzZWOSWwcB9iOy+VCsl2USQWniC9ns1m73X4FSgNYkuKNdrudtGbM1Vwu5/F4cNi6ujrmyScnJwn6\nlUqll156SUTmzJkzMTGxcOFC0bSgMA4jIyNYFh0OB1JZjz/++I9//GOQ72tqasbGxkBhJ23aZDK5\nXC6okgeDQaPRuHjxYhGhk3A4HMlkksheV1cXOCN//vOfP/e5z4nIa6+9Nn/+fFwkADfK9u/atUtE\nNm7c2NzcvGPHDhHp6urivsFms+G8AIHZOb6qqop5EZA1enp6WltbIV0fj8edTifcsM/nI1w8MjKC\nAYlEIi6XC9ugcrkMrwbyAtdrbolIiAfv5go6A4qiKBvBFZZSUrFYrFAooIQAmUv+EONcLpdTqRR3\nVHxzzGYzIVO+sfCgOF1jYyP77JBLgp9QQp5vDrYmorkEZNcikQgbkVBnCzNF1UsTTVyGfpriI6zi\nUmcQng7favwRKUZufUD/gdYiz0WOhupZDQYDIUS6XkhfikYnwSRV2TS6vX3THdisWiKRYPaIiqLM\nGKM7CVWC8EesCyxBJcFMlT1lfh4pHEwklKmKiNlsZuYM6yOpa+qeEekWHBZnB/lNNBoC/oh2Ffh7\nKpXCZC6VSgzREB+wmBori9PpjEajuIZNmzadOXPmz3/+s4isWbMG23PwJLFWplKpBQsWdHd3i8gr\nr7yCD3v27Kmqqlq5cqWInDx5EtP+q1/96vHjx0HcOHPmTD6fR/3srl27IODrcDimp6ehStXV1RUI\nBFDIvHnzZuScli1bNjY2Rh5dNptFS8brr78eDUHC4fC2bdu+//3v48pLpRLk/nbt2oUV9qabbtq7\ndy88yooVK0KhEI6WyWSwYNXV1VksFsRwaCsFUkNfX9+73/1uvANHjx7F08TTYbMYUlUrlQr8tMvl\nCoVCyCba7XbUosXj8f7+fizoLpfLYrGQ6YPFGq8QCX6sAzOZTJTBVWmrCDJaWlpwfBGxWq1msxnB\nbjKZxO2kUimDwYB0Joi1zMPhYiCMi3dgeHi4traWMlr4AvTMVHFbVHdRvBjUD9IiqJRGVV90h6FP\nUqmDqgiWyrDgZ/ImGD+BVcEcId9/JgvRElO0+ku1up9cYrWsjbM7k8ngpRUtQ4w6PHyZRdO6XZXp\nOTDddNNNN92uSdMjsFk1bjxVMu7U1BSSQ9gqYssWj8exywYcBAgFfSCxnwXWJ5oCOsFAsv6oRABx\nHRwWmuLk9eGbSKchLEC7ekJYFOAhrCSaLo6I+P1+MMGsVit2yqKhJbhNpN9EZHR0tFKpQGBieHjY\n7Xbj8w033ADYMJfL3Xnnnfv378cdDQwMIB+2aNEiVG6tWrXK7XYjAqhUKtgFQ30DSrsjIyPbtm1D\n4uTkyZPbtm3DIHi9XkRj+NUdd9whIhMTEwgHJycnm5ubeWvsYGI2mxEa7t+/v1AoIBABGxMY46lT\np+666y4RCYVCx44dA79xenr6ilEVrZkkWZGpVAoR4Sc/+Un0kh4ZGaFmscPhCIfDaMu5f/9+vAPJ\nZLK+vh7s/FWrVmUyGVwDC6RcLldbWxtRWXYGYFkbOKuIJ66Q52AGi6MaCAQQ9dpstnA4jMYoqVQq\nHA4jRJ6amkKcCr0YvmZ8vV0uF96QlpYWpht9Ph/COIwPYtZFixYlEgnSZVmLlkgkgFJms1kqhyH0\nV9NOolWzEaEVBRKkGggDLFX0nWUDYFfyuatdGtSKMTZ/QEoVETY5w4xficyrgD+wU7UtLRcBVqew\nC6tub990BzarRuYuAYdkMklcRS21Ie6PLAIhRLX9Er0ac8XAD7FWslBMNL8lIgaDgYWcdDOYcqpo\nHtYOAvTQC8dhzWYzlRVZUgPhHwIv5XIZ/slsNkMP0Ov1ct5WVVV5PB6UfBHGDAaDvb29KAFetmzZ\nuXPnQO7YuHEjcj9IZWEBPXLkyNq1a0UERXVQU1y8eDELe7u6uqApBZwHS/+NN96YTCaxTKARtmgl\nqFhZ7HZ7JBJBioV1wZ/5zGe+973vffKTnxSR8+fPL1u27D/+4z9E5L777sOFPfbYY2vWrMERisWi\nWoeElQ6PCWv02NhYPB7/4he/KCIHDhxAvqepqYk8bCyLqDCbO3cuuogtWbJERHC6aDQaiUTgXKen\np3G1rAoQEbfbDT0q+duey7wwkhTwXuHyUDgM+C4QCCA5l0qlpqen8eZ0dXU1NDSAO9Pa2ortBXwP\njoZGMLjNbDbLGg/WZnk8nmPHjqEBN+83l8sRTkfei5VVzAfT9cJpsZyfAvN0isi58miqEBTeeUwx\ng6ZGr6aW2ULIZrNxO0h2CdFCsK5EQyAxW6mdL0oTInSZwBGsVitnDS9YVTFlaYpuV2U6hKibbrrp\npts1aXoENqtGrjmxPqAulGzP5/OAE0H2ExEQmRj9UMeBzHgm3kWh5IqiNYVvkscFyFE0aoZo+9b/\nKyoK1r5oggskfzO5TZVhcBOwRa2pqUmlUogpBwcHAb6BWE/hiVKpBHmncDhMOOXs2bPveMc7RCQe\nj2/atAnUjPPnzyO2iEajMzMziOfa2toQlOzevbu2ttag9TIm0a67u3vfvn0i8s53vjMajWIkwczG\nl41GI6Kc06dPf+ADH0DhcDqdRksqURp45nK597znPSB0bN++/bXXXkP009PTA2yzpaXF5XJhHLBP\n50abJLdisXj69Gl8/pd/+RegpuVyGZHu4ODg0qVLMTilUikQCABadLlcIK20t7en02k83FAoFAwG\nb7jhBoweeTqxWMykdeVmgbnJZCK2xkCTEmIQsWX3LKCXIhIMBhHarl69uqmpCTBmKpWamZlB62pG\nIel0uq6uDp0/e3p6Jicn8WqVy2U1TGHkjeiQb7VoEDp+BbCxrLXKVNsj4LGCzIKL5Ps/MzMDORXR\nCplVfq9ogjIsImZEaNDU6MHL5RQjn5ABJWAJVfhGNNiwrHXaZJc7tVcD2SWAJfmqE6ugyAvFmnW7\nKtMd2KwaX256FKhA0QmRX44lSUS8Xi/Vx6mlJgoiBPgeSQKsU1wjqC2EI4tIoVAAcVw0IXwRgXgB\nlXIqlQqFwEnuotaUxWIhYjk9PU0pKRHByv7WW2/Nnz8fnqanpwd3gUUcvzKZTOwYMm/ePORCzp49\n29TUhNU2m82iT4qI2O12IIQmk6m+vv75558XkW9+85vgEGYymebmZnwG0xKnmJychIOMRqN+vx9I\nHfwu1o50Og0XePLkyeeeew6OMxaLBYNBuh867FAoBFXDqampPXv2fPrTnxaR0dFR4Gzvec97xsfH\nSSWntgLJdZVK5ejRowA/P/rRj+7cuRMroNlshgODmp+q60+VP3jZUCjEw9bW1t57772QXmxpaYGb\nRx9hik0QpCqXy/ATKIS4QgkCdDucN5fL5XI5lNmVSiUk4ZLJ5MzMDPJt8CIEonEon883NTVFFiLd\nktfrxS24XC6TyQSX4/V6XS7X4OCgKFqU6IPKVBNb26g4JzNJdrvd6XTieqij73Q60cMT48AyR1bL\nwe0x7cfWKkQFMWJkBbPOhOWMAPxV7rtovhl7I3pNURQmcXwKcRHz5K1BqoPK9NRn0e3tm+7AZtVI\n2y1rbY1A2yUBl/pspMuDc8EkNvyH/K32DAVMsYqxXxEnldlsRu4HbWEpWEcpKR7KbreHQiEsi8Fg\nECssVk+KN/IaSBG2Wq1MkMybN+/VV19FMy06bNwXPsfjcdKLL1++fMstt+AUAwMDWOVNJpPdbse+\n/vDhw4g2lixZ8t3vfveRRx4RkSeeeGLDhg2iVTKxMzJ+iFO8853vFJFf//rXd911F2uhSGAxm81g\nGXzgAx946aWXdu7cKSKLFi3q7u7GCptOp/EFp9NptVqxRv/iF79Ys2YNKCHf//73IXyFSnNSANLp\nNMvvcN7Lly8bDIYHHnhARHbv3m00GhFkz8zMwHmbzWYoWmEwZ2ZmMA6itasOBALV1dXYCmBVfd/7\n3iciZ86cAYGlrq6OSUpV0Iu1uljBce+M+KuqqvL5PJ7akiVL5syZg6NVV1cjg9jS0sLbqVQqyWQS\nRyOTCCQOCiizrU8sFkPkjXPhCzabbWRkBG9UKBQik4jyaVVVVVf4DAwCw0SUgbOSEq8QSgWIH5Cv\nJEotCv2TqnNGkAMzhVGRaFVZuDvRnDeRD7W2hEXNrByw2WxGre8z+90gHGRXM/pCttyjlKJuV2V6\nDkw33XTTTbdr0vQIbFaNkQe5xWCoq5tNguaMfkTbOWJDR1kdkqxEC4YA0PMnrCpNp9PY9YOaiI0n\nhYhwKKrmQFpbRMjGBj0MvHOv1xuJRHBtxBJrampGRkbefPNNEbnzzjsNBsOWLVtEZNeuXbha4JmI\nAuvq6tDiVkSampqgZ2Gz2ZYvX45TzJkzZ9++fceOHROR+++/H1jfl770JfLO58yZg2/29PRcvnwZ\nI4lmiYjGnE4nNDuWL19+7NgxDA5CBGyTqZdhsVg2bdqEawgGg319fYDRgH1hSOfMmYOLmZiYeOih\nh5D6cjqdIBlGIhEmBRFMMNUEbDMcDv/nf/7nL3/5SxExmUwOhwPXQHVjUMaJIDEPGgqFgMSazeZV\nq1a1t7fjdEycdHR0IH5CnGTQOvUwecNUK8p72eCRUssspvb5fGfOnKHSNI7vdDr37duHz01NTQ0N\nDRg0aseAvIdfQSKLiBnI9xhqQrhGo5FvDgYBwBr7jxAJYC4Wwi6U1Ugmk6zTxxEAV7KQn+1hRVNs\nAqanKh0jEnK5XIy0qJWMEJAziDr0ZCSKJgHFsF60AuorNArwzqukf2oU4LeAbXHemZkZqj/r9vZN\nd2CzahSI4iJFWoFo7ge+qq6uDktAbW0tJzbqXTBvDUpjWYolwheyqxO+ABFCygcwo8AcANF//Jdg\nvTrtIUUomrogE3g4VLFYHBwcRF+uM2fO3HPPPcCgKDpFIFFE1q5du2vXruHhYRFpbm7G7XR2dk5O\nToKv0dfXd+rUqXvvvVdE2tvbf/jDH4rImjVrqKnv9/vBjG9tba2qqsJ5M5lMJpPBCsvGyul0esGC\nBTjFuXPnlixZAtQOko8iMj4+7vV6N2/ejKsNh8PwVXPnzoV3sdlsgUAA7ufd7353IpHAF+655x48\noJmZGYfDQcYHhDBEZHh4GMyCr3/96z//+c+xmDqdTqLH+XweHq6jo2N6ehq7irq6uqmpKaR5Vq5c\nidusq6u7fPkyUm6bNm0yGAzAPN/1rnfhCGhJzA0NQSq3200yBTX6RFuC+/v7N27cCI9y9uxZNJPD\nLePlfOSRRz71qU+Byp9Op1OpFLOw5JeXSiVsJiC6wb0CToT2XRgQi8WCFwmvHD7MnTs3FArhV9if\n4XM4HMaIwc0wg6uy1flHihai3I1a73zrqGyJKydOyLYyFLxX4XSyLXD8K7BNjLPKSaH6CUn/vAYg\nkDgyoUsU4XFi4nZ0uyrTIUTddNNNN92uSdMjsFk1VcyCXF6ywgBucA+L5Dm2fog8QNUlEZxkqnw+\njz2dqttbVVWFtH8gEIjH42xsiG9ecQSeAl3ESJ9jKEb1DfCpsHVlVWkmk3nHO96BsMDv9z/55JOI\naRoaGhCFgKSAIxw+fHjXrl1ooOXxeHCbsVispaVlz549IhKPxz//+c9jh/78889DezAQCIyPj5M5\njX/dsmXLwMAAYEOgUojhisUiVQ+mpqYg4PvMM88sW7YMt+bz+bDztVgskUgEIQJqDPBlr9cLdC6f\nz4+Pj+N+77jjjocffhhfCIVCRAJFk6CF6iuu7eLFi9/+9rdxXr/fj9tE2p9REb4JKV5o2998881m\nsxmc+0996lPPPvusiNTV1eVyOXD5Dh8+fNNNN+Hl6e/vB1ciFos5HA61CTIpIaRHisZfzWaziJkW\nL15cV1eH2zSbzaOjoyAfTk5OIjR/4IEH2A4UDZcZu7NROPnlVVVVIyMjwDlJf8jlcoVCAbH70NBQ\nU1MTg05cWLFYJLcex8dF1tXVcZRIiwWzCe8/S9FxhXwhqdvL6Ad0UL7/RMuBtYrG1FcV6NlXgYRD\n0VAEcggRAhJsJH+SZCWoNSIaA4+XypbkQFUqFZSEp9NpXYnj7zDdgc2qsUNxIpEA9g21CypiAMET\nRecJ7o1IBXF5lrkANuRsZyfAXC4HEAzOg7U4hUKB3F+134TaVJN8XxYMsQkIJiT+Pjk5iVM0NjZG\nIpHDhw+LyMGDByORyMMPPywiTqfzxhtvFJFCoXDs2DGsF/X19du2bYNUB/Xj/X7/0aNHMYff8573\nTE1NQbu2rq4ODuyNN9646aab4HWsVivWxHK5fPr06UWLFokmuI5FnEAQtKxYujA1NYXTUQqZaiby\ntyVukUiks7NTRAKBwNNPP/2Vr3xFRF5++WWbzYYkmWh9KbPZbDweJ6xUXV198OBBEXnooYfeeOMN\nEYG6Ck6XSCT8fj/AosHBQZzizTfffOCBB3CRBw4csNls3/zmN0Vkx44dquoueyeGw+Hbb79dRPbt\n2wdFEvTLJvbFXQ4xQ4is46mRm+f3+/P5/NGjR0Xkgx/84MmTJ0+dOiUibrcbH7761a9+73vfwwqL\n1A7eIrPZzNRmOp0muQ7eS5TskdVqpbhtKpWCqpZojb/xhZGRETxNCEZTBQP3DmkS0GLRs5R7NTzK\n6elpytPA5agtHUTLK6sKv1TBxq/QPBYXTHUoEUmn0wQDqfDLc9XU1MRiMSanWeJJ/4f3H5h2dXU1\nIFZRdHvxTezqyuUyPuh2VaY7sFk1bt+cTielwdXCyWw2ywoeptwZ8SCTzIpL1ZOxDozTktkyKu7w\nCFjlWYZsNBodDgczGcyFUMkwm83W1NRggqGaGFVWt9xyCxIzsVhs48aNqB1+7rnnXn/9dezly+Xy\n66+/LiLpdLqlpWX79u0icvToUZvNhuouh8MBJwp2xj/8wz+IyPHjxw0GA9ZNu92Oi+zp6QkGg1wr\nMYyxWAwy9iLS1NQEFrtoulMiwkSjiCxYsIB5QSgG4fgUX8f14HOlUsFv//SnPzU3N+N0x44d27x5\nM/QYEeyKVhTFZP7u3bvhvA8fPowhxUkRiRqNxomJCbR7XrZs2fHjx0Vk4cKFL7/88rp160Rk1apV\nRqMRpJL9+/fjm4hCEMPV1NSMjo5icBwOBw5rsViCwSD0CSHjxJwQy+mobc92bm1tbcjnichf/vKX\n7du3Y9OQy+U+9t4ZPvwAACAASURBVLGPicizzz6byWTgPKA7RdYP2xGwXp6FBCIyMTGBMq94PM6C\nRRBYcBco/xIt/4RfxePxSqWCjd309DSOgLvDryYmJlS1T/gGeBf8ESUi9FtsZULvjl4nZLHjOKjo\non9irQWSdqLVLOMzafqQ0YI3BYDBkmSMUnV1dTKZpEYBI0KXy0V4gI3XMeyi21WangPTTTfddNPt\nmjQ9AptVQ1dG+dt2lNTqhZ4CwgV+gdCfiNjtdu7vykqfwP9nkoCwFfi77K7EhBkFVauqquLxOLvw\nMUmWTqepSmUymUCNa2lp6erqQmSwe/dupLKi0ejTTz8NVHBiYmLVqlU4yAsvvADl9W3btn3sYx9D\nGfKmTZuGhoaAPZKpn0wm586dC4Vfj8cD8SQR6e/vx2GRzQLh8OTJk0CrAoGAz+dDaAg9C4BRBq0J\nL0aD8hBVVVWISplrRCYDe3l8wIXlcjnEcCdPnvz2t7+N5Bz6NOKCqR8B6RPErEeOHHn44YcRiWYy\nGXZ9jMfj1G8lxZwFy1A0PnLkCO49lUrhJZk3bx6eWjKZLBQKUOVoa2s7dOgQ3or58+djeAOBQFNT\nE8YBMhwUtMW941LZ1xujlE6nOzo68LYMDg4eOnQIXZJzudwrr7wiIufPn1+4cCH7ehNSI4yGEcOA\n1NTUBINBXCSzp4VCob29HZRUt9tdLpepmIUrzOfzfr8fWUx09sKDI40+k8k0NjZixMAnpEIHQqh0\nOs0sMujsvE12o2Y2C9XEDB8xDugwSQV6NQdMlJ6jx9pwTFVqdlABhHUsyWSSusDASPCZuS7gltQI\nJvCo29s33YHNqlHSicoLapkXkmGYErFYDHyEXC5H6TnwbqlEQOqHQevXhzonTGz264PWFBAbqK1T\nYgpHSKfTPp8P6xQIx1QEB3xXV1f34osvQkKpv7+/vb0da+WKFSuAEBaLRZ/PB/Cnt7f3/e9//2OP\nPSYic+fOffTRR0VkeHh4z549bPo8d+5cTOO9e/cCRrvtttuOHj2KBiVnz551Op34+7Zt27CYtrW1\n1dfXA76zWCwo89q2bduOHTsWLFggIseOHauvr4d/8vv9cB5gZlPRsVwuE2Pk/U5OTrI4iXzrJUuW\ngL7/wAMPhMPhvXv3isi73vWu0dFRVvJR9V9EkP/7t3/7t127dlH3CPfr8Xi44uPhQvAiEAjAzWPp\nxxeGhobcbjfSbIlEgitpQ0MDVvlisdjZ2YklOBQKsZ/vzMwMlmOIRuJxh8NhvGZQQsGtlUol/Ovk\n5KTD4YAAWF1d3cWLF6EJyYbOCxYsIBoJ2QhAl5cvX8YFqL1OgK2Vta4xfEuTySS7m05NTbFSAjom\nAwMD+XweKCWuh64RFKTW1lbmg0FQwhfYygeoOC4SCm0YVabZ4GnYGYBHo8aV2+2mjglOQbl6CjZS\ngIO5LpQHsIELa07Ih3I6nZlMhvuhZDKpoqkcMXL6sQjodlWmO7BZNbLjqIFGfoFoWQRMMI/Hg/np\n8Xi4E4TUKWMyJsPYOQVAPOYtmR3IJTDIIMRfKBQ4/SCiKFofdEyqaDRKcULeAhre4xpOnjyJpQcC\nvvh86623Pv300zfddJOIPPDAA6AmFovFuro6tNLYuXNna2srduV+v/+73/2uiLz22mtr164FI85i\nsSQSCXxmDsxgMESjUTgPj8cDzt6RI0cMBgN2/ZcvX+7u7objvOOOO0h/4NID1hk2ECzKwTac6caZ\nmRmk9w4fPowvdHd3/+Y3v4GPpHsTrXs9rnbPnj3f+ta3RGT37t2sk0X1N0avurqaxUmkIRgMBiQC\nK5XK/Pnz+/v7RWT79u24NRHp6uqC05o7d+7AwABTLxRsRAAqWuyOXQUa8VDiSE1QwaiKNDY2lkql\nKLFoNBqx2jocDmwvotHosmXLcK5kMsnbD4fD8EPY4uBNtlqtVEC2WCyqojR1pzKZDIJOp9NJempT\nUxOCXTT7po9va2vDF/r6+hBwq/2d2YgHHXNwa3jE1EKkpBPrEUEFJBkYXg0ZMobs9JHkLgLMoC4o\nhhRTmE6LYlScwuVymVtAnJdylzgXis+YMCMHR7e3b3oOTDfddNNNt2vSdJ8/q0bUjoGUw+Ggco+q\nKW6xWKhJyn6y2MRxb0vxIWpqoD8hZTuAL6GCh58hzi1KO4mZmRkmxnAoNobg8UulEkqOEonEgQMH\nsI+22+1QuRWRqakpiFycO3du8+bNYCH+z//8D7lzY2NjiGPGx8eDwSDEbU0mE0K0iYmJDRs2gL0N\nbQU0VxwcHASNvq+vb/v27cAVx8bGVq9ejUO1trYiCuns7Lzvvvt+9atfiUh/fz8uHk1AEC4kEgkS\nPo1GI1WRuDUul8sulwtf2Ldv3/333y8iQ0ND/f39oEcODg6qyC0+7Nq169FHH0UvaYhykfCJnT4E\nlElAZw9JNkAxmUyUrpicnEwkEniCwWAQtzY9PR2JRDAO4XDY5XJRhZYZI/ZRRGtEFgnwFMSvSHCF\nXgm5rC6XC4+VlRj19fXlchmhksPh6OvrQzRPWiZgAHwZBWFqyk1Ekskk785kMiWTSbxFjAidTmcq\nlSLp3+/3I45saGhgc2fKteTzea/XS7l6IuHsUYl3W+2rIIqqsmjEQoKB5CtCGF4ULTfRYkrRNKlZ\nDUYhKB4KgTWlOpilTqVSVOIgxkgBX7xLHH+yK3V7+6Y7sFm1SqXCTC8ZFoBWRAND2N6CP/H5fEhi\nA2cgGZo8YFaWgE9MVJ2i4+iVJVolGaEVLn8kHyMHwB4cRq0hfUdHB7jdly5damhoAKRTKpVAu1iw\nYMGCBQuw2s6bN29gYAB9T+bNm8fUAqgiInL77bf/4he/+NnPfiYiN954IwgLmzZt2rFjB9xhsVhc\nsmQJILVUKoVF88KFC2fPngWsdPnyZaCRly9fttlsoPK/8cYbL774IkgNkUgE99vc3ByNRuFZUbjD\nXD03CpQWNBgMbW1tzz33nIi0tLTgdg4cOLB+/Xrk3iqVitfrxV2Uy2X0jP73f//3U6dOkdKtyl1y\nSEWTOUcPa6TcisUifxWJRPA+jIyMuFwu8new9MfjcdJ/7Ha72+3GD2OxGFuZ8BTgR+BodrsdV+vz\n+ZheZT2yyk2AQiZ8VTwehyeLRCKxWIz1Bsy/0iVg3PCFaDTqcrlws263mxT2UqmEJwgEmCfFNbtc\nLuzbRGsXgMShzWbDMAJ9Zfa0Uqmw4QDZHHTPYKuT3MEEoaqaxvoH9GHBr8iwUElVVIcSDVoXRY0e\nAgJE15lZ5AYFk5E4P5Om3EkAdWRHN/5dt7dvus/XTTfddNPtmjQ9AptVIzNQjXLIu4UMB5EEUucn\nJyexqcQmTlXIFk07QGXbYy/JfTp2mkatTS22paI0SYL0BralqOhkbMdTLF++/MUXXxSR7du3Hzly\nBOFRQ0PDrbfeiq+Fw2Fs9i0Wy/T0NOgAxLhAZcbRJiYmvv3tb3/nO98Rkd7e3u7ubhE5efKkxWJB\n0BOJREKhECjdFy5cACWvvb391KlT2KWuW7cOQczY2NicOXMQGm7fvh1oJE63cOFCfIGEAsCkZDfg\nXIVCwe12Y4Pf1NQUj8cR7N5zzz0g0Zw+fXrr1q1kqGcyGdzF7t27v/a1r4nIpUuXWGFtMBjYnVk0\nCSLwSKnpQPVb6rcigKCWOVFKbs/BpSRaFY1GcYqGhgZs9tUKd9HUpPBDxDH5fD6Xy1FDFrdQLBb5\nOpG8KiIMpBA54S4ikQibLlLoBIy7ktYNHOJJuE0yD0maQFiGi/R6vfxCoVDgF0QjNHGmQBGNmIEo\nemyEDTlrEHHiFGrjShYRg7xDjB2nULutomYZPyT1A3Ax2Zh8pTliBoPB4/EAR+E7L0r3CcSsnNpE\noUWRC9Fp9H+H6Q5sVo1K1VTdxoRh5w7qaIi2cBiNRp/Ph2UXSD1hPbLg2AQW1ST4AvsWqhQp/AVH\nZn9CSKTjCJCN4NHI6a+pqbnjjjtE5K9//avD4UAXymg0CtW+66+/3u/3o1Ds4MGDq1evJgSKcw0N\nDS1atAgezmw2P/PMM6tWrRIRl8tFjNHv92PmOxwOm80GrnljYyO4ztdff/3zzz8P9vzKlStRa4XF\nCOvyu9/97o9//OMf+tCHRGRkZAT8PZvNRt+QyWQoG8/KBCwcWKkbGhqeeOIJtOL0+/3It61YsWJi\nYgJ3gR0GtZdIfCd8BO/CTBJrgLjbAJxFKA9rIlIp8EngXnMzQeURp9MJt+fz+SjEju4E+JBKpfAZ\n/bvxRolWp1FdXe3xeHAEkuwhWo+tAAAxuiUKTBDfE03cT5REEfA0elYK3rNaEYbPU1NTEK8STZOQ\nx+R2B2kw0bpF841Vd1dq8wTRUFkMdTQa9Xg8+DLlOeC9iNirz4LNFtj0HKJQrBHkHGRijB+o0yFa\nRRdnEKePQemKzkQdRw8AIyWsmHLW7e2b7sBm1UjHANQuWpIAc1Jl4hJ8TyaTDoeDCyildEDHEC24\nYR0MVxnmipEVY9rDZDIhtkADLRHJ5XJUKkJ/YearKX3LXrptbW0LFy5ERFIsFtH05MKFC6Ojo0g1\ndXd3+3w+kuBJIgCXREQuXbpUX18PZwZhXBHZv3//vHnzUJNULBYHBgaQZotGo3BgY2Njn/70pxG3\n/eY3v4EHXbly5ejo6Gc/+1kRWbdu3Re/+EWuF6wy5vYcyyu1g7FGk9AsIsPDw7lcDuqC2WwWDV+6\nu7tZPFQqlS5dutTR0SEia9asQcCH4JWhCcWomNVAERhpOGR/sM4B9UD0stAUxpcZijHoQdzAhRXn\nxWaF5AK+XVxtUYNMfUL2Dla78zC2YKa2XC6zFxfORWIRU2sQTMLw5vN5Blh0dXj0IuJ0OuPxON4i\n3oLJZKJqFBKT+KHVasUfUaeMX4F2hMFhpgrSUPyMUhN8WS0OY1qL5A7uBfP5PLqOcTaxZpkzl3OT\n5+UDFRGHw0GlachO4lesWMA4XBFjqd6U7C3drsr0HJhuuummm27XpOkR2KwaBaKYtQKZkIy4TCZD\nXIJAPDRp8Ecylam0ixiOXTMqSmsJ0nmJDqHxK+o3uW9FaTNDFiYtIOyLL7S2tuJ0PT09vb29CLCW\nLl365JNPisjAwIDT6UQ2y+fzDQ8PA6SKx+OgTaNVB1o2d3d3s/FxLpf7yU9+IiIrV65Ee2URyefz\ntbW12OMHg8HBwUERaWho2L17NxBCh8Pxv//7vyJSX1+fTCb/9V//VUTe+c53rl27FpIZouVvoDbL\nXoU2mw3hAjMWdrs9k8mA3//oo49u2LABfz9x4gRCQOzoMaTJZDIUCqFJyhNPPIE9ezabBRdctE09\n21izGQ1xXVE6MVJQGF8gt43EdLV8Ar2eRWOcMjfJlCpfLcBZlGMua12AE4kELhhjIlrJBJuSiIbL\nUbgW1bs4Ai6GFb4IZFH/TiWOeDxOmihKF8CAxeAgIcTxZ98Ar9eLgN7r9TLoLGs9OcHPpL4aA6Bi\nsUjxM+rzAnXg3eFqEX5R/4mT8f8pBIWJyRwVwQwiH6yPxnPHiDFLLYoaPaehKARRUVSjMP4qd1R0\nu0rTHdisGuUzpqam4EWgfo03G2kMODPOIjT8pYcjms8kE3AV5quJnDCXViqV1EYbxJeY64JRKjuf\nz2P1ZwevSqUyODiI5e/EiROBQADSCb29vVj6e3p6uHBks1mr1YoMVnNzMzM3IgK59LNnz27fvv3P\nf/6ziITDYfRb6e7uHh0dxU3V1NSwxcZ1110Hpnh/f39VVRXIIy0tLZ///OdF5Mc//vGFCxegx/ih\nD33oO9/5DjBJj8dz/vx5EVm3bt3ExAT1pSAnIYrkY7lcnjt3Lqq4qqurFy9ejNUWdWkiMjY2Vltb\ni4zaH//4x2effRY8e7XHjdqPTTR9BxJnUITHfjc2mw1jomqm2Gw2UNhtNhs7bFEeIpVKgcchSkN6\nUTgCQCOxFOKpYfRYXYQtDkUCKcnPHh/xeNzpdNIl4AsUshINDeNWgPKSmUwGd1FVVVVbWwsYmTyg\nqqoqkh2ASOMujEYjVTAgoSIiQ0NDTFiWtb7Vk5OT9FXAOQGAQ7YDo0RNd8wOPBdyPZAHhb9EhRzb\ncfEJMh8Jh80R5rbDoDU6p7NE8g8TQS0Uo1QH4EG6TMrlcEgx8Znk0x3Y32G6A5tVo4KRxWKhSpPB\nYGD+iVtFCj5hu40lDzqt3B4S61eLVKg7RdlZlNpgCUBhKZuMqCwPtcsflqFLly4hCsnlch0dHdzU\nh0Kh973vfSJSV1eH5f7EiRMOhwN3BAEqiroyWWI0GiGS9OUvf/mxxx5jSSy26qFQiE49k8nU19eT\nsojbaWpqWrNmzVNPPSUiqVQKkdbWrVs/8YlPYBE5duwYU/EzMzPgBcRisZmZGSyFqEMi9YtChW63\n+69//auI3HrrraFQCHfU3NwMp4USOrjbRx999Pjx42xOj2cKX8jyPhbYknWJhYy5EIgViZLFhCoS\nQtVwOMwsGh43HiWbt2GxZsM2rOZq/IR8GK6B3a2wy2F9MZ87L8zv92ezWbbXwR+RvSPDiLpHmUyG\n6SXIYIrI5OQkZYJjsRhOMT093dLSgi4tgUAAUZo6/tXV1W63G+8bvHtZ60IJOiiABLzeVqs1HA4z\nruUgkOCHSUF6FCWd0uk03rdKpZJIJFgfRmooIQokKcm2ILGTko9EOywWSzgcpvvhzOXzxbNWlUsp\nfMocM+khKolUt7dveg5MN9100023a9L0CGy2DVtXJmPsdvvMzAxZYaT2kmsLbIG0ZiZOVMABPRVF\n29OxtTy2h8h1sekzu0Jzp4n9I04XjUaZydi0aRM38oVCgXoWq1evBrR19uxZ/FFE3G43YEO3200G\nfzqdRoiwevXq48ePb926VUT++7//u6GhAemuf/7nfwYRf3JyEu02RASJQFL1WH/zxBNPfO5znxOR\niYkJxEwej+fUqVPsFdLY2MgaA7Rpvnz5MuWAQcMjUoQw1OfzUSGprq4OBEgRWbp0KeSGfT7fgQMH\nQE0Etx4XxgY0ILmpcszMYLEgj3oN2NQT0WUTSAbZKNojQ5Jcc6pgQMyCrUoRXIoSkQNnxoNzOp1q\ng2PS5wi+kb2NR8aKLhyTIb78LYTIZBieMhNjgUAApRRkwJrNZnBccbV2ux2jumLFCgiLIHjCs5ia\nmiJNlG3KAZPiSqCDTLScAQ25fOg6TfIt/ghInPR9NCWQv61SgAiI/C2dndEngD5MWLfbzaCKUCoZ\nnqLwCZnCFC0UZkYNf1TbqZTLZZ2F+HeY7sBm1f5vhh8ICeYqpGs4PwnXcM6ojA91LWayBFxn5mMI\nYXFtQtMszCtWOmOq4ws+n6+jowOLKeGaSCRiNptRWVwsFk+dOsVVBuvCnDlzyBGw2+3M1b/++utw\nOYODg/l8Hqmm1tbWW265BTP/8ccfByGepaY4AsWQKGXk9XpvuOEGNGe5++678fPp6WngjSJy4sSJ\nhoYGcN83bNiAJiy33nrrxYsX6f6NRiPZFlh8XS7X008/fdttt4lIIpEgMT0cDoO6HYvFxsfHf/CD\nH4jIU089xaw7mRTgX+DiUbCMa6OiYCqV4sMCR4BSeCovA39MpVKswKUWH88lWiaJcBbViYhWAeuD\nY0ulUnwZ2KVabRTHyi2UUrERDHNddFpAC7naYvRUhgsqqDBo4+Pj9CJow4a3aMmSJa+99pqI3HDD\nDaQdORwOqPKj7BoPCJAmbpkJqurq6kQiwdI3fqCUFIBW+gnS5cnvR4aMuz1OTEqLsSpLtK2AiKCd\nGLwss1ZApFWBRFU5TLRSGVwDQGZuBdQhVTcBul2t6RCibrrppptu16TpEdismlqayspibtWpboBv\nYiuKOlnsxFH+SekK5opF204SxxCtTJJ/xGEB0WADmMvlGJal02nsnePxeDgcxlaRaX+AMNi/t7W1\n1dXVobj4wIED9913n4js2LFj3rx5FJYdGhqCjMX9998PEjzqgu+++24ROXbs2OTk5KVLl0SkpaUF\n7Luamhp0CBSRqakp4i0EZ8rl8tjY2LZt20QkFApxEOx2O+6itrY2n88jGnvzzTc7OztxC9zLU+ZY\nRKqrq0EzOXv2bGtrKzqZWSyW5557DuTDSCQCSYgnn3zyt7/97QsvvCAanxDBJcccvAMSO8mHdrlc\nbGLJ4lZolmOTzkAHpRFsdkxpZmJQeFtYSsGoiCXnahc3cNwZT+DC0F2TUSAVdSlblc/nwXcVhS+H\nD6oie0Vr9EwCOnkx6q2hoBsPiEAoUEFCBbja6enpuro6XA/gBzTgVq/WYrEw4HM6nWQDkixTXV3N\n4nHOLLIt8HQYHoH3i88gDaFfNisHyJfh5MJfCAhjIiCYpkIVcVfyoQD+47yIeimFxVIBgp/8oNtV\nme7AZtUIFFRVVQHkKZVKrMsBFQrrFMUSURxGmiLJ2SyOURvriaZPIxpBX7Q1kXNGla4n8bempgbT\nEnVgmIHZbBYLh91u9/v9YMw/+eSTVqsVDL377rsPSvBAwDA/jx8/nk6nP/7xj4tIJBKhSOCyZcsg\n37527dpDhw6tXLlSRCYnJ+mGjUYjMmpIhtHv4sqDwaDX62WvQi5zLS0t4NbjjpCsOnXqFIZ3dHR0\n7ty5SLNhZKitjp8cPHhwy5YtSNS5XK76+npmj/bs2SMi27Ztu3TpEiVLTCYT0Tmsj4lEwu12s8si\ny++wduMsbGkPlSYqFVH/kEkji8UCiULRWIKi4clqggorbzKZZC0aefaqXIXKNSdSrWoaUfcPexTW\nZhGFwxZBtJozipCh2c3U1BRrKlwul9VqJfMe561UKhDHEpFYLDZnzhz2SsWr1dTUxBywx+MpaT1o\nSHz3eDxERMfGxhKJxJw5c0TBFfETpntZ+oZ8GF9ptf6Srxyhwmw2izxoIpFAcwb1/cfPMQ6ZTAaD\ngzFXC8uuyCBir1nWOtYSoaUvBOp7BfCo21WZ7sBm1RhYMP0LdV0uHGxxgqSFaGJ9nBWczDMzM9T1\n4YrDfbEoLaBQ/IR/QusQdbeIQ7FyKJVKcYPPlhZer9fj8XzhC18QkcWLF1dVVW3fvl1Estns2bNn\nRcRsNr/3ve9Fha/H47n99tvh4YaHh3GuhQsXdnV1/fa3vxURu91OwcCRkRFGe2QSI6UEvjUrmn0+\nn9frRf3yZz7zGVztwYMHHQ4HaqIvX75cKBQQGj744IPf+MY3RGTZsmVerxfeDn2Kyb1Gtszj8TQ0\nNCCoOn78+Ny5cxH4plIpsAy+/vWvv/7661yGmKQkkQFOgpW2DDhQ6IoP8HyihUQsUeKSp+bDWLBF\n94OoTu0eAo/LfBuyZVxM2UmE4k8o5sUaPT09rcZnDI+SySQuGIqOGJyypvwL7olaUCwiNTU16hqN\nX4nSLQhpRYo0ZjIZVk1QfpcXifccVz49PU0qv2hewePxoKW4KDlgdSTtdjsFDJPJJLJWKNbmXo2e\nj8ElAkpcPGI4tapStBQjriQej+PC+CKJRjViUTnjNmpKYXtHLEGVoWKYrvcD+ztMHzLddNNNN92u\nSdMjsNk24uPYu0HTiO0k2FqCAtvAdgCGAMOh1jWpYqLtBEHhVbltokFGpNFTssHhcLBPYG9vL1TY\noVOAbJbBYEDp8fT0dCwW+/CHPywifr+/trYW4cvevXsRSH34wx/+6le/iqzSe9/73tHRUQhhdHV1\nIdclImfPnkWaDcEZNrwul4uSIgwZy+VyKpVCJTIIkKIx0D7wgQ+ISDgcxu3U1dX5/X4cEPoROG9n\nZyd6KJ8+ffp3v/vdpz/9aRHp6+sjtLV48WLURC9evDgWi2GrHolEmpubsVXfu3fvww8/LCKHDx/m\niCFTSB4jt8xUZwAITE0Txo4IwkQri2bozJ0+8yKIQqgKTyhP5bOxfTDjdQbNVxyturqahHsKvlDp\nA8q2JLuazWYgAZTkQJTJtqikBTJWxq9wtalUyul04giMeFRlJtwXA32qzjMXheHF2xsKhfBH4KsI\nkaHCRYomQ2H2OslmswSHEY2JJjbPe2ejFvIYkUHEDwGNcPSoUGW32xH1UoEF6J8aohE+ZT2DCnUw\naU2wna+9KF1Gdbsq0x3YrFo2m+XahHUBqyGwHSTSqUZBnncqlWIXKyIVlEXI5XJckpA3Jkubi5qI\nqAltrNeJRAKrSSKRsNlscD+RSKSmpgZ+6+LFi2vWrBER+BKoNPX29prNZiCHExMT6LHywx/+cO3a\nteiQcujQoZ6enpMnT4rI9ddfDz2Fpqamxx9/HO5ncHDwzjvvRBOvjRs3ojAIWvXkKXApJFMfKzgW\nEY/Hg5qzNWvWXLx4EcBXR0fHoUOHsEb09fWhDmxqaioWi+F2WltbR0ZGkLwJBoNY2QOBgNlsPnHi\nhIjMmzevWCzCN3d2dsLdHjlyhIrsSCWqWKtovHa15I4uGY8VFWOkULPmgWkVFH7hfmtqalKpFHFm\nyrIYtZ7C6XRa1ThntoxkCkCXVMfHi2G1WhOJxP/tKaz6ZmLLdD9IF1G00+FwgHGDgjlcbTKZxNFi\nsZjX62WrBAqeQWmQXzh37hweK7y40Wicmpqidozdbgdyi9QXrpxVCkDhcO9ECJGU4tGYQSRkB59E\nnhQJHerUoC4oyBRUSMGFwRVdMTjMI4qWzeIjJr+fv4I+Dqk3KrODR1DF73V7m6YP2awaNfGQqxeR\nUqmENhMiYjKZGBXxhY7H4xaLBTS56elpygiJ1kgeCyK5iIwAVHVX5qtRE42JVKlUsNSitBmh0rx5\n85566imUfH3kIx9BufHg4OCqVavA17Db7Tt37kQm46677gKBYs6cOezR1dnZeezYMegTHj9+HIv4\n2bNne3p64DyOHDmyYMEC5Ki2bt2KzTXE8bA+Ms2Ov8ORQOgIy9/KlStRao18Cb5w4sQJ/nBoaAgN\nLRsbG48cOYKVDirG+PKzzz67dOlS0WggJJjl8/ljx46JyEsvvfTrX/8a11BdXY0HBCYFnqDJZGJl\nK9l3iH7ofJVvnQAAIABJREFUHuCTUMjMzh2s0a6qqmIPMCqHgX1HEUXS80CfE01dEE+QS+3MzAyD\nD2xc1Lpa0XJReDGcTidJrbFYDGphmUyGuRkW8MJplbR+H8lkEqNHub94PE7nYTabY7EYnghTvNBK\nxkVCCAqnQLgmWtE6PBw6xVS0JqtkOXEk8UoTusCDgDybWptMeSdGfiQ0IRrjxFFjKW4FSNNVW5qx\nSSl1tgB18LmrAlRkZKiaihw0zlzk2/AXChfodlWm58B000033XS7Jk2PwGbVuD0UDYIAyZhF/lTd\nNRqN2OAzFSQixWLR6/USaqeWdrXSBJ20MeqTAjOhJCt/qIp63HTTTa+//rqIBIPB2267DaHS2NgY\nvtDZ2Tk8PIyoS0QKhQJ24u3t7QDfNmzY8KMf/QjU+fHx8ZGRkXvuuUdEfvSjH0GJ49VXX21qasI2\nNhqN9vf3r169WjTEEncxMTGB/TuIdrhNp9OJ1i3t7e2NjY3Y1weDwRtuuAFX2NraeurUKRHZsmXL\nL3/5S7bSQMw0MzPT1dWF2xkZGUFAgFtAX8psNhuJRFjFtXPnzh07dojIjh07qM9bKBRwkSdOnGhr\na2OBGp4Uco2gkgcCASonkQ4HNhpiCJ/PF4vFCDFhPJnUFK1VNGMI6tIyrYUYgrgTXwZokolShyQK\nER8xCo6m8vvVt4XpJRLuUR3B4IZ/NxqNeBlAFkU2Kx6POxwOcup4jwjj8AWGaKlUikIYmUwGNFGg\no+TQGrUeldSXomi1iFD5BbIvHBBk+/jgOPX4sFh2ie7YosVqBIRZ3kAaoclkYrqR4k/U6RANuleh\nRdHy3PxfSqVQ7VeUak6j0vRZt7dvVaqknm7/f9v+/fuhzJ3L5QCb5PN58gKQVcYa7Xa7WZtJ4BF1\nP/iCyWQibZoQPzJnzPwTqUCRqWjdjJifYPFmWWt6K0oTZBaQjo+PNzU1zZ8/H/966dIluIRcLofF\nq7e396677gL4NjQ0tGHDBmgVdnZ2wg1XV1c3NjaCbXHx4sX169fjGvr6+ubOnSsioVDI6/XiC1Bh\nZx6IdQWsAZqYmID/27lzJ5oCi0hLS8ttt9327LPP4gjIVFVXVweDQYBRyWRy3bp1kDLK5XKASRsb\nG3ft2oX1cWJiYv369ThFb28v1kdAZBjJsbGxpUuXYnBUPSdo9IkGiKlid6JVUDH/RJo1vwbED0dL\np9P8girKxxIrrIPcguDCwOzAZwChOAJTiXiv8MKYzWbcAsYWjnxycrKi9TFgRbkoku1MCImIw+Eg\naYL4qslkoiAWKxddLhezd2fPnm1vb4dTicViqNgbHx+nw4YXwTtA/U+WZInWwYTyg6xHZo0wQFd8\ngYlA1MJz1jBxSKUuFOyznEMdKCaqicqq+eYrslkYnCvwQzotlirz+QK6pF88ffr0448/LrpdjekQ\nom666aabbtek6RDirBopxeomPRaLEXjhno7NouRvlaoJBEGZHn9UVTmQCRctJS4aEZn7QbQxFIVI\nol7P5cuXq6qqQOEbHx8ny2P+/PkgdMRisZaWFkRgvb29wJTWr19/7NixsbExEVmyZEl9fT2If3fc\ncQcisKNHj3Z2dpLolc1mEQD99Kc/XbdunYhMT09fvHhxyZIlIpLP5ycmJsjDRqjqcrn279+P8Mjr\n9YIGGY/Ht27dyqqAb33rW5CSWrJkCYLaRCKRy+VwtQsWLNi/fz8ueM2aNUBlz507NzY2dtddd4mI\nwWDYvHkzVIC9Xu8Vov4iAj4CtdURTIApTlyRoByp7SgVUKtuVUEW0XgBGCigVQg41PiJCixgw2Nw\nisUiwGf03yLwSHQrn89T54nN0hwOB+kGJPJ4PB4wBvma4QOBL4Q++Ht9fT2iLoPBkEqlQKgJhUIU\nfHE4HOQxkryAGnBEZul0GvIora2tgLX5GuMaVEENFgBUKpVMJkOsjzJORq35MuBTNhSlzpbVaiVF\nkBJrZNYgqFJvGR9KpRL1RIgQihZUgU9PhFbFGBl587A4KUM3knTKWmsCYiS6XZXpDmy2jW85sW9k\ntkTjLxHGUXm9KvGX5V8kWZGAjrwX5yf+CIiGUIaKcVEBIRKJgPi+aNEip9MJGIdN/Gw2G0SSRENm\nmM0Czz6VSiWTSfgkm822f/9+kPIpqDE2NtbT04OTtrS0nD9/HvIZ1BkyGAxdXV2AtgYGBjo6OkBf\nLJfLWNkBY4IJ+cYbb3zwgx8UkUQi8dhjj4Fw6PV6Fy1aBN+cTCbJdmtsbGxtbRWRX//61/X19fDN\nZrMZ7LuBgYEHH3wQvnlqaupPf/oTFzI+oFAoRLFEssapHBiNRikPgVYArHPAFgRSe1SKoifjmkhF\nRNH0rnAXLFTCC0DJjHg8ji9QkgMdUpi5yWQyZNCp2u1VWsdLalXwPYSr4ypPD6f6hlwuB7w3kUiQ\nyEfRTtGk5UUkEongClEhh5fh4sWLrGYD2U80ZJLikMPDw5QvYbNpsiK5veObzHvH0VAQQsl8VcOe\nnEbqQ3JIoQlJrr/dbqdaGzYQoghEcXB4EN47Tsc2LvBedOQqhKj2msHrxN2qbldlugObVeM2TaXw\nqrlxZpiNWjdezAES30UT12EbdaT3WSyl8qc5T/hHSBaRLwBHNTg4aDQa4YoymQzWRNF6PYuI1WpF\njkpERkZG5s+fjw7FkJgSkd7e3vb2duj23nfffTt27ICDicVimOEWiwXdNETkqaeeampqwrXdfPPN\n0D80Go0XLlzAra1cubJcLl+8eFFEFixYgCPU1ta6XC6IUa1YsQITfsmSJcuXLz906BD+mEgkmDBj\npsTtdqPUrFKp+Hw+LEmDg4MtLS0iEggEXn31VURjN9xwQ1NTEzpaRaNRpnwaGhpYSE4qeTQaZXhE\nWoTH42GfMD5r0CuYpBGN/Y/SN9F8AzNqfFtI+akoXcSSyWS5XKY8Mf6YzWZJQIevgtf3er1ci9HV\nRRR2ic1mA71eNHYPLpipLIRf+FU6nUasKVo1m2g0E+6o3G4369O5UYvH4yQTZbNZ5CbNZjPcntfr\nZd8fhGiMwFhCEIlE4F2QTcTgkKMEH0wEgqVX7KtiNBrRo0606mZmszjFZmZmQMPxeDzJZBIXyXgU\nwAkPq5JuuN1heR8vAKEY83B8rHyUGD1WbepSUn+H6UOmm2666abbNWl6BDarRiiD1Z3FYpGqr8lk\nkkWUVONmA2XRYEPGFizsr1K6ZhQKBW5+WZdKMV/ssrE9R/glIgsWLEAKRLQcGz6n02kc1ufzQdFK\nRILB4NGjR1esWCEi+XwemF5ra6vJZIJUx65du2pra9lzBPCR0+mMxWLY+S5cuPDEiRPYhDY1Nf34\nxz8WkUceeYTaV0gjITLr7u5mLuTYsWNg6lssFihxtLS0ZDIZ7PrffPPNpUuXsiwacWQgEGhvb8cp\n1q1bZzAYUCfe3NyM409MTCSTSRQ1Nzc3s3JAVd/gQ4GmO/Mi1GtgwiaZTJKQzagLlcWA1MAXxRFo\niF0YQ1OYigJIqpQUtBtwNKJVeDGgIeJ2u+PxOB5WNBpFvGixWHhh6HgpIlardXp6GhF/MpmkCBll\nKfiW4vP8+fPZ/FrNA1FHY2JiAiJkBF2h2Y/njigKb53L5cIDcrvdly9fxpcBwBKUo0IVAVhVA5f3\njhwbxh8MeJYk4/tgw+PVSqVSDoeD5EPyGNmaEtdAkSpV1ZeqKAyVqL7Btg8YHILMVOVghYMoFdZq\njxUGtbpdlelDNqtWU1MD9gGXPBSjMEGlYoBUXiDeonavpyIO0EiVbUx1NU4bohbA3LHKL126FDM5\nk8mEw2EeweFwYNZVKhWcF4eCn8jn80uWLIHkYDabBQl7YGDguuuuw6r6yCOPPPTQQ1gvDh8+DKTO\n6XRWVVXh3puamt58801IeMydO5ezmtpX58+f7+7uxhJM0kShUOju7sZ5E4nE7bffLiI7duw4fPjw\nz3/+cxG5dOnS+Pg4hZGAAkGrAqhgqVSKRCKNjY0iEo1GsZ6Ojo4uX74c2Obw8DAz/1VVVbjf2tpa\nqkJEo1HSyrncAzvCeQEnUuOcJVZ0hwD9kBeEapT8bQarqqqK1U6Ep1AdVa20UebqT7m/eDx+//33\ni1bZBjjXYrHAq1mtVq/XiyOQBxEKhVasWIHbxMhz4cbVon8NO7OYTCZcebFYxIBAngpvLDBtyjgR\ny6VHQY0jrsHlcsGTweXj3kdHR1WlQdw7SqyoXULGB4vkQIUoK73ZmDymwApb30GLEsyXZDLJ95yT\nBZsG3h0hXBJnKloDFKS1iEZWaX2W1Xov3gjyndxtqFBtlaZlqmsh/h2mO7BZNa56zJpgGQX+7na7\nyVBiAhk77rLWEJ0qwJwPWDhUHTbqDHGpVTsNFgoFUPWmp6fVvoiYacg94NQ2mw3ZmoaGhgMHDqD0\nCtREuKK1a9fim2BPgAZy44031tXVIeUwPT2NFbatrW1wcBAUgKGhoUWLFiF0u+6667A2gRKG0TAa\njRMTExAXTqfTrJPNZrOonzUYDNCUcrlcS5cuBZ8N9chcs3DlHR0dL730EtJ7oKhh6Z+ZmRkYGMAR\nbrnlFohggfZC6T8qGTY2NmKgoLd0xTIEMqdah2TQ+hZiyUMyn8tTNptFVIS1G39Ua8K4wWfehVEO\nLJ/PG7VWI9TDrK2t3bt3r4hYrdbx8XGWwSFWHhwcZGgeCAQQfdbU1ESjUQxIbW0tdRFZZ5bNZguF\nArxsT0/P+Pg4S4CZ9/J4PNzlBAIBfFYJezxaIBAIhUK4crfbzT1ZQ0PDxMQEboeNYMhRAn5AXw6W\npih977Dn45dJkeAfOY9EAxhYYclIl/6SURc+UwqZbonHV2Mv2BUCYBXN+LbwyaouX6WBiG5XaXoO\nTDfddNNNt2vS9AhsVo1S5Q6Hg3qprObBppIQCvMcTJmAicvMFreEZa0xfC6XY+kP0Rio1JDOixbP\nohUtiQhpYKKl1nA9U1NT2B6Oj48zIkTAARH6WCyGlFJHR0c0GoUY1datW/P5/IULF0TE6/WSM5lK\npRBoFovFpUuXQhEjn8+DBD86OhoIBECjX7hwYV1d3e7du/H3j3zkIyIyPT1NgYnu7u7Dhw/jAj76\n0Y+CBF+pVGpra3E9YAOKyMmTJ/P5PGj04XDYbrdDFCqXy6FS7e677z5w4AAzOhxtUkNdLhcCL9Fy\nIcCXqAiVTCbZ70YUzJPIsKpUhCdIrSMMu8fjmZ6epuItHxbDdLvdTg4hwgUq0yNmBSwMABnatQAG\nU6kUgpvm5uYqrQl4KBTCKAUCgUKhgEAzk8mQx0iUDK8rIWse1mq1ElPlm1ypVFgHlkwmEStnMhmC\nkH6/PxgMXlGkGIlE2tvb8Uoj98aBYpkjNZ/wKxbJkYpJFi6SYVVav0pqrTFhpn6B8scquRcBN2NK\nhIPIZrH+TA2kWGpJdiKfO4yDw4icgCenJH6lBtm6vU3THdisGlYB0STX8EeolYsIPAeLdfiBy18m\nkyFBuaz18FWzaFjdCMqxLxGTE9A9olw6eQHMk4uIw+FADxS32w1PNj4+3tPTg6UQ/Z0JSKK6y263\n/+QnP9m8ebOIzJkz54033gBa6Pf7kYxpaWk5ceIECB0o6wFy1d/fD+9y5syZO++8E3T2CxcugBUi\nIrlcDv01AoFAOp1mUn3//v0i8v73v//o0aMAG1GAjCvn0rN79+677roLYoltbW1dXV2vvvqqiDz3\n3HN/+ctfRGTnzp0sQ47FYmNjY8iHVWmq/0ajMZPJAMaEXBPVm+jhuHBjneKVA9/DoskcJEkN/EIi\nkQCKK1qXEDwLZvtB/aDsIesiSDovlUo1NTV0YJQB9Hq9WB/D4TAaUouI1WoFwKgy+0WhdxOvS6fT\nqVQKO4x0Os20k8lkYic5NoWZmJiora3FMUFnx8HJQoJ+PJ6LaIBbJpOZmZkBpjo0NMROC2oGkWQW\nFCSoCpOiNVxm3lcUcI8uRxRvQQl/kmUAy+NZeDwe3BqOQ4yRY6KOm1o5x4dFuo06vGolH5PcGE+S\n7/VC5r/DdAhRN9100023a9L0CGy2jQQz7PgsFgvALhGBiAAhBUZaFAECTKGWhYrWbBdHIL9ANHq9\naLAhC6gpYaCy3Vhx6ff7weYXEafTCabDypUrY7EYJMNjsRhJ4SaTCaS+b37zm1u2bAEjcXp6et68\necCaFixYAFzR5XI1NTXhFH19fdddd93NN98sIsPDw2p+HntqFJNS/P5Xv/qViHzta19LJBII1376\n05/+0z/9Ey6muroaIsJNTU3lchmchYGBAfAyVq5cOT4+Dn5/LBa7ePHiiy++KCJf+tKXDhw4ICKp\nVIo8urq6usbGRmzAGZaVy2W/30+CGSA7UYqI1b6FIENzy8+wgKcgoMrHLUrjStEabZNQw47AJGeX\ny2Uqz1YpncOIYeJR4hQMJkqlEkuweeWlUqlQKLCBqqr+zFgBEr0iEg6HofsuIpVKhcoXZD0AogQI\nzJ5b0WiUAIPH40F3VjxrQJcgVSJuxrtNBiDZHBw9tG9ma1beGkXRMCB8vVUxX1YfWywWXA9FhDGD\n2DCM3BlIM4sm2YV7vyIaI1+DXaGJABO3FI2Pwy9QRHtG6+THsEy3qzLdgc2qkU8oGukIXSHwomOR\nIkKFryEZQJ9E4JGIhCjUKcwT+iocCmI8RCrYboNUMRwWCwqkkrCoxeNxyGG0t7e7XC5M4FKpVF9f\nDw50e3v7k08+KSKdnZ2tra2U8IhGo5S2Ao3+woULc+bMAQne6XTW1NTggs+dO4cvFIvFffv2wf2g\nxy6u4eLFi5/97GdFZGJioqamBkS7zZs343bAh4RMfqlUQlERrhzg50033bRnzx6s4+3t7X/4wx/m\nzZsnIuvWrdu5c6dohG8gV4VCgTLqkBcSLQfJ2iO0HRHF/QOJ5baD0G6pVAJkhx2DKjPILQjFEqls\nSbgM40BMjEVL5OCJxikVraSJBQAmkwl+IhwOY3AikYjb7caFkeMOP6SSXakKz5eztbWVXUYpbUX+\nHn4OUuu5c+d8Ph9yn0AdRcO08b6hlIJNPvGhoaGBzVCqq6vZbIFZTHDNyX5EJYlobVZESzKpMk50\nBqRoWiwWPqxkMoknqLaSEaVlOVRjRNkCilISpwqAMe+FD/gyN4sqWRG4oqoihoth7SNTBrpdlekO\nbFaNdGomJ7AGUbmOawQXLFTScH6i45coLPlKpcIZjjIv1m+ycsWgtSDC/MQpWEAdiUQY5BkMBqvV\nigl86dKlLVu2iEgqlfJ6vThvLBbz+/2Y83/9618h4PuJT3zi+PHjKEfNZDJsEJPL5VDZOjw8zBog\nq9V68OBBNPT6/e9/DyHd3/3udx6Ph5pPR48eRXHxypUrQdl3Op1sjNLQ0IAIr7Ozc2BggLSX4eFh\nZHfOnTv30EMPicjzzz+/YsUKVD339vaeOXMGfuvll1/GiGEZZQ4Stb2i9Z0RLcWCoUaJK+vKGYGp\ntUfcU5dKJfbfouQdAg5WtrEJi5qkZBaT3Bx4ULXiVQ0XRBOd4nNXVZRUBhBLjtiyh+9eoVDg52w2\niy8UCoWGhgZUkvGkPIWIBIPBhoYGFoGws1cul8OXa2pqpqamuDdiw/FgMEidM4PBgK0P8l54Oamp\nlk6nvV4vfoUqcvYhomoiZw3GmWUk1PSqKF2S+QVuNRDgkvrE5kQMhcGw4JgzsMtkMlStpG4v9x/Y\nE6gEfa4DakobM4XzWrerMj0Hpptuuumm2zVpegQ2q0aRC8LrIkJ4Xf6WvoUdH1II3D8yH0BYH1Id\n2DKDWIUjk6sG2i42fVSiEhE2D0REhX1lfX19pVJB0HPTTTeBAVhTU0Osr7OzMxwOI8PU0dFx7733\nikh/f/+cOXMA37W2tl66dAmBFzWNoGGPu+jo6Ojr60MtLduaJBKJtrY2Qlh2ux2nJvjW0dGRSCSQ\nk3O73dj5fve73129ejVF32tqahARNjU14YPP5wsGg52dnSLyla985dixY7hyMrMhJI+BQkNhQlIc\nxmKxCP7k5cuX/X4/5YnVtsUMlai9xN6kqpgyWOC8TdJEyVxH5EG8keG42l+YVef8lcrOR2oNX+BF\nOp3ORCLBUJW/qq6uxhfcbjdDBwYZCxcujMViFPsgM7Cs9fSx2WxWqxV5L0YtokR+AJz5SuNxiII0\n1NTUXLp0iTpbFOhKpVLE0tnTGaEw/k7IDu8/7gIjadDa6wCEBHeRQS0LJESD8gAPMs1GqRpVvJiP\nmERiPClKAZB8KEpCS20NqipIMcepcilFt6s33YHNqlElnfoFWHqoZMhyK5PJhBUB/R3UHBgVdKg+\nIBrcr2bR+E8AQHCKeDzu8/kwgWtqajDVk8kkRTdE5LXXXnvHO94hWuZfRObNm0cSQSAQOHr0KGCc\nbdu2waPs3bv37rvvxs/BE4Hf6u/vhyfr7+9vbGxEXuqPf/zjpz71qSNHjohIXV3dnj17RGTBggUG\ngwFe5/3vf/93vvMd5FHa2tqwuo2MjMybNw/X8NZbb+Fct956q9PpLGsNdqPRKJzoN77xjV/+8pci\nsmTJkqampq997Wsi8oMf/OD06dPAHm02G10dVxk0VoZTb25upt5Se3s7UDKr1Wqz2YB32e12Lj0q\ncUM0QBJfFk26ibUNbrcbgBhkjURjdqiJfSpiVDSBedHWOMKGouTAsK0hnEgGuQqdsfyIYCMyo8x3\nUhIin8/juQcCgYsXL6qNp3EEbrlwhaxaY0sR9lhpbm6m4D3K+PDZarXylc5kMngx4JhV3grvF5MC\nOKrqp0XpesMBqdLk83FY+EV2b6EYvyokjyI20XLPdKgE4dkAWjQnjZwWkXnuMKqUtincaoDZQW+H\n4wAuVpUVRberNN2BzaqVSiWs7MyjYNcPn4RqXyymFosFSy1kmchn4+rD9x4TgynoSqWCFYfrIOB7\nTCqo22Ey53I5OkuDwYDsxcGDB9evX4+ZFgqFSNOyWq1Y8aPRqMViwV0MDQ2Bl3HnnXe+9dZbOAJ6\nmuAU+Xwed7FkyZK+vj5wNM6ePTs5OYnlIxgM4sOcOXOCwSCcR6FQ6O3thW7vm2++icZd5XKZ6a7q\n6mqERKVSCbW0+Hz+/PkHH3xQRF555RWk0Hw+3yuvvIILW758+b59+yh5x64oXq+XQz09PY2/RyIR\nlDx7PJ5QKISWmMjqI2Ts7Oy8dOmSKCspvsDMIokzSLrgCULGkL2pqKDIHD72H+SPMEQTbcFFAEFS\nA84LR8L9CkrX8UMMjslkYpU3D2symZxOJw/CPGihUADVZXJykusyenHhfQiHwxglpI7oUeAqRKmm\nCofDFGqy2WyhUAjXA3VKvFqpVAoDwjyfKDmwqqqqRCLBgI/92NQKazWTR0/DKBDJP94atdZIYLHZ\nbCz7g5+mK2KFO7khzJyh7Jpeh3JidNJwTjyCqmxJD8cnxd2Dbldleg5MN9100023a9L+P/beNDiu\n8koDPt2Set/VWlqSJVuyLS94wTa2iQ0EGzCEJQGSCZAhJCEwNZOpkMxkzyQTmCkq22QtAiHLZJJA\nwpJATFiMMbENwXjBMpIXeZO1S92t3vf9+/HUfeq188dO1aevXN89P6hG7r73ve+99z3vec5znqNH\nYLNqZrOZAuTkUFHLoFqtOhwO7P4SiQSwnUwmQ1wRVCWmGZjSIBhFUF6UNA+EBog3EqBnf1vIJYAx\nj3wD5cPxTZPJNDIygk3uihUrjh49ii7yU1NTams+BDqjo6MLFixAFm3t2rVQ4kAEAC2P3t5eCGSI\nSCqVgqTTc889d/vttyMa+O1vf7tlyxZsXSGBISLNzc1vvvkm8nDLly/HNyF2hdkbGBiYN28e5sTv\n9+NDMpn81a9+hbzLT3/6U0ZLk5OTOBSKCrCnTiaTUHUSLT+Bm+JyuTB7iUSis7OTNHr2pVTLm1iT\nJAroR6ETVZWcQQZIhhR4JZOeoF+pVLJaraTyk6jNkAhMcZwin8/n83n8cHJykpVnJ06cAN+dDZTR\nQ4QFUoSzhoeH161bJyInT54slUp4DsfGxjirPp8PB0FqjZ2g3W43HpJQKMScK4MqIJCskWIFlcPh\nYC0UJZKr1SqL5Kg+g/ALGKPD4WDSjoL3iOf4NvGlEI0ciLY1fBcYMzEvBYFjct/5BXLuWaCJ2FTl\nvjOuZfEDc8+gBDMyw/drSp9S1h3qdkGmO7BZNdKpyU1A/plQHtPvpNXCD7FRFgtH1NcAC5xoeupY\nebkmAvRQ28uyPgYfbDZbMplEOfC999574sQJvOEulwtvVyQSqdVq11xzjYg89dRT8+bNw1WEQiFg\na4cOHVq4cCEGHAqFuru7cUWJRIKrqtPpBFJnMpl6e3uRo7rzzjsXL16MU/T19cGpzMzM3H333UAs\nmebZvn37woUL4V127drF2q+ZmRkkpaLR6Fe/+tXvf//7IrJkyRK4mf/4j//Yvn37T3/6U9EKpOBE\n4/E4yq7z+bzD4WBislgsgog/NDSE5d7j8cTjcUyUy+WiU4G0kmigHyEsTrtoMK/JZIrH48jHADak\njL1avUfhRAKw0MkUrYMz7gU2NISRMSFGo5G9P7BXwA87OzuBc5bLZUhk4cFg12mn08k2LlRTXL16\nNVw+oDmku1BmjpEjk4o7xdlD4o35IYDMU1NTzc3NlNxsbm7GeCYnJ+fOnYsj0HHCe8H9FAoFtipm\nSg8VdXg46TiRNVRrTrhXoJoo4XRkf8+pUoAMP7u7sdqSjfGA2zPFiOOrGvmisH7UfgKqMCNvMQvC\nADZyHRDdLtx0CFE33XTTTbeL0vQIbFaNe0km8HO5HORt8K/ggsvZfMVarQbiAPbLql6UnN03z2Kx\ncH+nymZDeFS0UlD8kbGCxWJ5+eWXb7nlFhEZHx83mUwIF4aGhqDnVCwWFy1aBF57LpfbuXPnRz/6\nURFxOBzYnnd3d5OavGTJkrGxMfA1XnnlFZRCDwwMqMBae3s7IqSdO3e+973vFZH169cnEglc5urV\nq38rmDunAAAgAElEQVTwgx9AhH7Tpk2PPfaYiNxzzz2hUGhkZEREotEo4jPQHQ8ePCgi3//+93/4\nwx+uXbsWk/P666+LyJVXXkkmmNlsZl/pUCiEmAnaGbwpZrMZIVpXVxeCiXQ6zSZhCHDJ3uZGHgQ8\n0VQ5qEEF8ArlrkQF+V9SDwBqsRAiGo0iErLb7QxHKK7h9XoZfADzFBECfXwkqFYF8a1KpYIwWpTQ\noaWlhbguGqWikPw973nPu+++K5qoBH7l9/vz+TwJHQT62GAa0resX8YpEGTgCIlEYt68eTgyBYUB\nn+JXwNLxnORyOcwelXlFg82piMEmy2i2yasgaVMtIyFSRxo9xXzRcRsDttvt8Xic4Rq5SMRaRYuW\n+C6f82rzj3gTiY7yMePbCgEXDlKHEP8O0x3YrFpzczOSQ0CuRMRsNlPzqVwue71eohZkmtXX1+Nt\nBxBf1Vp7EMJSJYXoGkXR4eZ7AuE+5iHgqN56660lS5ZgXQCsBIgpl8uxL6LRaATh8MYbbxwYGIC+\nu9frpcg6K1pMJpPf7yfvHIOBEjlW24aGhlAoBMf25z//+a9//auIbNiwYe/evaAO7t2796677nr7\n7bdFZM+ePWh9+corr2zatAmqEPPmzUMZmc1mO378+Oc//3kR+eUvfzlnzhz4iWw2+8c//lFEjh07\n9vOf/xznRUEC5ELGx8cpspBIJOAnDAbDzMwMJfNR3tTb2zszM4N5SKVSVPBSydDcChiNRnTmFK2A\nTDQACjcI2Rpyr+GocIP4DKxevRpjO336NMUMM5kMppeUPBFpbGxU1TFYSeZ2u5nmoSTK2rVrMYaZ\nmRncd+R7qGefzWYBMwaDQdLHmYvCHogcWjZ3hkKKiKDjM253Mpkkh5O0TLDvWDAHHuPg4KDJZMLR\nAKfjFHScuCKqb4AliFsPmBp+AhPl8XhSqZSKHOJQdrudU81CFJJ70VgSdxBuj56ePEaKwPHlgmwV\nRSNJoWSOTZRdJnaT9FXcA/FoRCZ1uyDTHdisGtcjFiyDs4sHGiWx+AJFp1DWij0jnnjuQPHNitLa\nXN1sMrVA/V/Roi6ETStXrnzllVdEJJ/P9/T0MMibmZnBqoclRrS2HUNDQyKycOHC1tZWrJWRSASL\niMPhiEQiWHqwTvHVhdszm81dXV1o2YzKViwut9xyCzp7vf766xaLBauez+eLx+Pve9/7RGTXrl23\n3347/vjmm28y044rmpmZWbx4MXJg6XS6u7sbY/7yl78MkcadO3eyJglThzxcY2Mj/OKcOXOi0Sgr\nTFH0KhrzBb9iBOZ0OtnaJh6P41zhcJj6sA6Hg+sUpHJF6yjGU6g9OPhHED3wDEQiEbj/trY2VUqK\n0n/lchlXYbPZqCLIgZVKpUQiQRUlLP3z588/ffo0y4FxryGLxcFMTk5efvnlIoI0lWjrL/NP1Nlq\namqCOhdK4DGwpqYm9kiz2WzU9PL7/XBg6XS6Wq3iIYnFYtiCFItFFLmLxkmhPiF+hZ5nTK1RFI2K\nxjabDZGxaGwXBm1wVCgPYNjE9LPaDpvcd7wsrMJWHTlLzVRPhsPinlKMqqa1U+G9Bp+erBO1vkJ9\nN0W3CzQ9B6abbrrppttFaXoENqvG5n5QMBIRcLgpNMDYxWKxILDA/pTJElKoCXRgT8rEGFm8RNWB\nUFHCSkSA1B07dgzh0e23307co66uLpPJkJmG/WNra+tLL7108803i8ipU6fmzZsHHY3m5ma2YWxv\nb8fpgsGg3+8H/d3lcgER9fl8wWAQJEObzTY4OIh58Hg8qJl94YUXFi1aRK5zT08PNDXsdjsSMzMz\nM2vWrEFm68SJE4h+crncypUrAUJeddVVqVTq0UcfFZEbbrgB9MgdO3aQviwirJml6jlkMhCSqv15\nDQYD/jeZTLJtMdSwiBYybkB0IhoJnsR0nBdRDrNfDJXq6uoQSIERTlhpZmYGRz569CjGAJyZUB7D\nhWg0SgjLarUSW+Zn1sgfP37caDRSHV9tcMyyjfXr1zMqIuGbACBCUsYxGGFHR0cmk2GTa7vdDvDZ\n4/EgyEPKkAX1lEUua00sjx8/ztYEmCVCu6zFpn48QlVOL2YsHo87nU5er9oUhjR6onbAFdkSE+Fp\nMplUU5vsBKu+ViBAioYYiyY6xXdNjbw5e+ckvVQ9X9HEdFgMw/hMt/M33YHNqlE1h/o6BA9Fk1kj\nSxivejqdJq8XmAMZB2zroL7tREuY64IsOsXiAoEA/Nb27dvvuOMOETEajayemZ6ejkaja9asEZGp\nqSm2UFm6dClUo7xe7/Dw8IIFC0QkkUiA5RGNRtPpNPzT0aNH582bh1MfP378sssuE5Gurq79+/ez\nAICkj1qthsPed9994+PjSFzdcccdAwMDuCLyrQ0GQygUuvHGG0Xk6aefxr8uXbp0ZmYGPIVcLrdn\nzx5QEh555JEXX3xRREBT5jJEzadEIkFuOgvmIIeB+bdarcB7US2ERRPEdxLigUwiGYlFE94Cp2B2\nCiwGlWtDBSlqmRNHwjExNrfbjVlCXRdZ40gF4RTYKAD1ZdlfQ0MDZAB5OaVSqampCacj4AZFDxwq\nn8+3tLSAI6OKTdjtdvI1XC4X3FKpVELNXy6XI/0Bl4kZmJmZQaM4tVoLuDE1XDgJnF48pRTgoCfj\nbg84Hr0CpUnIV1I3cJRVrFQqzIFhq0GODBwn+oGxGY2aQuYbROnROqWPOYu3VIRQ1S5h0QWAXzpR\nHB8Om45TdLtw0x3YrBq7GYmmDyQi+Xwejz6SxnyRWFoEbqEoaS1RVlioAXFXSJ4h3R4Kkw1az8bx\n8fEDBw6IyO23347VLRQKMVyIxWIsE66rq8OC5XK52tratm/fLiKrV69OJpOgQrAhyPDwMPf1mUym\nra0NolAMLPL5/JIlS+BdQqFQoVBA+RcEDEVkZmbG6XRiLz8wMJBOp/G5o6ODuj5NTU08BZQSly5d\nOjAwgDXi4MGDfX193/3ud0Vk9+7djADY8JMcBxHhrj8UCgUCAdyUTCbj8/kwHmoLlUoln89HzSFU\nXOEz0jxYwRlgkcjAUID7DNFSJoxCmGSqaS1U1N46nF7IJrGYneJMaGAmWr0wnJbZbDaZTBhbRWt0\niQaSdMMYGE6KDcSGDRsmJyfJNMEXQH2Ej6zVakwWMrBDmgdf9ng8mUwGVwQJRNFkoKGHiRiF3g6X\ng/BI1UVTeRP4YyaTYRTIv5MPgtovXKbdbk+n0/CR9Oi4O6yo4+mKxSJLko1ak89cLqf6ME4IT8f0\nrco5hP9j7o30VN59jJzlX2qEx+w1NzG6nb/pOTDddNNNN90uStN9/qwaYSWn00mlImgciCaNwf2d\n2qIXn9kLUTTdKRHJZDKMutBxkdtktnVOpVL448zMzNDQEDQ1rFYrow2n0wmC2ejo6KWXXgq2utls\nRoLq5MmTc+fOPXTokIgsXrx42bJlyM85nU5stEdHRzdv3oztam9v7+nTp5HhcDqduDS0lkeCZNGi\nRXV1dWgsuWHDBoCQkBtGcs7pdL7xxhugs6PVPQZTV1f35z//WUQqlcp9990nIo8//rjP54NaldVq\n/dCHPoRd8Pj4OHQ00FeeOA8TFex1YrPZ0uk0YcNoNEo4l7xqdsQOBAJ/W8mXTCYpdg6SNzU1eCOo\nd4VwjRRBKq/jHokWIrCICrcPaTacIpvNFgoFHM1isTCOqa+vV5NViF8BDosW2LFvJA7b0NAQj8cR\nq6kFGAywUAjFhsUmkwkjn56eZg6S6T1oQ1PkhfodbAUpGiYpmnqTaFlStViKysUqLRATpcq3M6Bp\naGggMo+MJim71EcWhS5ItSp2WC0UCgQ5TCZTOp1mZMzumqpAFEMlVS9b5ROqLERVJQv/yiNkMhlo\neYtCidTtgkx3YLNqAChEhESJQqHgcrmwsgCUJyFYFS1kskQ0L8iCZZvNhjfwnC9QpQbZC8B3Lpdr\n2bJlHAO+CTR/z549InL77bcDiRKRWCwGLzJv3ryxsTGowgcCgYmJCXzH7XZjPTIajX6//0c/+pGI\nPPDAAwMDA/BVfr8fR/j973//5S9/GQVDw8PDa9euvemmm0TkmWee+eQnP4kPGzduBF+jt7fXZrPB\niS5ZsgSA53vf+96xsTFQ+e+5555t27aJiNVqLRaLO3fuFJFNmzatXbv2rbfewhVh4cZazMZphIZm\nZmY4clZuwaMDMaOMk2jAlIhMTU1RD5DJIfQ1ZtMsMh14g5C2YeNdIleipEMgRymaSyCMzMPyaBaL\nhXqAXO5RjMEnp76+HtsRpou8Xi8wVQwMP29sbBwdHUWSMhQKZbNZrLasT0dKCT4S+T9cmtPpxAPg\ncDhYTuBwOKLRqCr9hwdgYGAAU420LlvJsG+y0+nEKbCZOwdCxGxQ6pAFCSzIQ0cYHNbpdFYqFQDC\nFEiEF+e+hNKjfAdxUrXSGUfjeaElT0CSPonpNAhNqepucjbgidFyS8TW5Gp1s54G+ztMhxB10003\n3XS7KE2PwGbVWlpajFoLKDKgUqkU07/c9HFrBhIH/ohMMjf4zORTZRV/pMQOhYPL5TJoY6j6ZL4a\nQUZra+uePXvAqkB8gFDJ7/cDjWlubt65cydy4+Dx4whOpxNkdzCkIQrV19fX09MDEuDmzZux2Q8E\nArt37wb148SJE4ODgxjPZz/72YcfflhEHnzwwaeffhogWCgUWrt27Y4dO3A0UAAymYzb7cZnj8cD\nRaJKpbJ3714Ec+vWrTt48CBrh5lCTyaToNQPDg62t7dTUguXBmUmaig0Nzfj2pubm/GFarUaDAZZ\nYU0eHYq7Mc8EggwGA/uCgj4qGjLGDb4quKDSEMgXEI2mqMq0M0QAbEVwWKVxY6oxUfhyXV0dsLV4\nPE6pDoLPx48fv/zyy0GdhyoHUUoM0u/3kwoBOBGhCRFRhJsU1zcajYhfT5w4AUpqLpdDvwWMtq6u\njs0kcb1ut/scVJaaufgJwEYVjcDY+E08e2pQRTQCz3+1WrXb7YyEeCjEsqIBj7xB6XQaRyAPHsx4\nwhUEeIl8QE34HD4hZ1u06L+mdBcTLSwzasr3vGTdzt90BzarNjU1RSYSHlx0ZCd8JFoDkVwuh/XI\n4/EAlxctH8YXmK+B2qaZ5S9cE00mE2XCsR7xaFjIIpHI5OTklVdeKSLT09NM3nR2dgIpwqsOnBMJ\nCbz5fr8f/ZQ3bNgwNjYGvvvevXsvvfRS6DCNjY2BkX/FFVe88MILH/jAB0TEbrcT/zl9+vR//ud/\nisiPfvSjSy+9dNOmTSLyyCOPzJ07F/PQ3d0NCLG5uTmXy8GpnD59GhBZR0fH+Pj4f/3Xf4nIzp07\nKVCUyWTYqNrn8wE9W7x4MZ06VQTT6XRLSws4k0hUsKU9aWbEu9DHuaenB5cGrwbHQOIZGn6KiNvt\nZnkfaaL19fUUgqK4ht1u55Si5wizmzgsCgCYoGLVBMFGFUCeO3cuYa5arYY0JwSomNnCozV//vxw\nOIxnb2pqyul0spIJbs9gMGSzWWQTw+Gw3W7HlymtabFYRkdHV69eLSIzMzP19fXAHv1+PwUS29vb\nWbmVzWarWk9nllWxrQkEt3jJmCW1zgGenokrVkeoUp90lmQ8wjeo6k3UNMFo8YKojESqWeJQGB6r\nu+iHiAbzm+p5VeVGvqr8LGfLZakKcLqdv+kObFbN5/MxMsBbZDAYXC5XRWuXzF4MpHGLohNa1VrC\ni/IigRRALUSVxMFVVd0Cw8lhDHiBLRaL3W7nPnpkZKS7uxtHw3nT6XQymUSIFgqFLBYL/j4xMYEV\nrVarZbNZOK21a9eeOXMG7qGpqenNN98UkY985CPPPPMMFnSXywW5I3xGNuuyyy7LZrPPPfeciFxz\nzTUzMzPc46Nzisvl2rdvH/b1K1euxL9+97vfffrpp/fu3StaAw4yxVmEQBpINBplqzOD1gzeZDKF\nw2EGVclkEms3c5DwKFQ1ZICVz+e5UUilUpSX9Hg8cA/4oWg1QGrRHvfa5AjwHiFcZrjAbl4MHbAE\nU/KRumKkZsTjcW7nGYVYLBZV7Re0l2uvvfaPf/xjb2+viFitVuYC+WCgtg8N27q6uhKJBAeM6WVQ\nKH+jecZpZFc5xHB4qmOxGH7rcDiYNYSiMV0vIx7m/0RJ4KnlIvQfmHO1OAF3je2bwXChdjbmBCKZ\n9B8qUf6cyi1RPA3uqRpL8ed8Ww1a82W8rdx6quEgHwZdC/HvMN3n66abbrrpdlGaHoHNqiWTSTJo\nEUMA/aBWKUOEYDAI6CaTyagF/4wGREMkSqUSN3HgcZ1DUwSgpNb/c5MLwC0SiXAbazAYLrnkEuya\nT5w4AVQQzC5IlZ86dapQKCAXRbkQu90+NjZGitqOHTtAzq6rq0OktWPHjn/5l3+B0EZnZydDmdde\new0NUHp7e7dt2wbK4vT09MaNG5966ikRiUajVP1Ys2bNsWPHROTtt99+4oknRORrX/taf38/sjhm\ns/lvQRgoIZF1SY57tVrFNVYqFY/Ho6r9Iq5inAQFJsQNKgTE+mibzZbNZnHtiUTC4XBQtYvKF6oU\nL/TARKGS2+12oyJXT7UwtaCYQRXOew73OpvNEvMUhX8PhqpodHZWl19yySUigkadQIYbGhrOqfgW\nEbfbHYvFEI6XSiVAnaJIUSMRpfLd+VSzbzI7pDidTrZ94TcBTTMxxoJuNeqiOhdmBveCiTGDwQAM\nUEQguqYqYovWmYUzBu15DJ7lz/wyyISUTeEYyuUy7xrxzHMkgM9hzNdqNbUTt2gBdz6fV6W8cHyi\n0LpdkOkObFaNGD1z0SaTCUlm0V4YLCg+nw8Pvd1uRw5ftJwHsXgm8Ik1IaOgfhYN56F+gSpKhEyS\nw+Hwer1Y3eLxeK1Wg9fp7u6GMPncuXOprZBKpVwuF5Zj1r6gUAnLXzQa3bBhw0svvSQisVgMovLo\n44zTLVu2DB1VRKSnpweaGrt27Zo7dy4WlEwmw9RLU1MTxrB48eI//elPgDEPHz68ZcsWzNKxY8eo\nQ4iCAVH4KVhzOUhKIJIHAXQUjjyVSlUqFS7iquIDQSGyP5qamgCZqt1SAoHAmTNnUNlWX19P/Q42\nGsayq656okmxqHksGEFgkAUoH6XqDxF4JLSl1l1x2TUYDOzDMjAwcOedd4rI8PBwJpPp7OzEGNjX\n2GAwIAnX0NAQjUaBr05MTPAOms1mDAwyHMzmJpNJHIHNvqemprxeLwDJxsbG6elp3FY+5ygdwR9j\nsRhZ+8w7qrVcavMwkjiwKWE/NvZmA60fDwkrBOAgVeFQ0WQt8QWPxzM1NYW/k4iPV4yzqqbZKB/F\nm6JChdxc4qRq6ec5KwMzArpdkOkObFaNqzzfTzZuEO3twjeRtxetiJLlt9x48j3B0kbdUorxqIwv\nNUlAckG5XKZqkdvtZiVNQ0MDFpRyuQyv1tLSQlmp5uZmrvKFQgHnyuVypEI0NTVZLBYcuaOjA7qL\nra2t+/fv//CHPywiW7duveaaa3CErq4u+Kd58+Z5PB5QQubMmbNv3z440Xnz5sEnuVyuD3zgA2+8\n8YaI+Hy+u+66S0S2b99e0XoyYU+AQXK59/l8mGdMCCNg0VwFlnuuMuwYUtXaUaLGi7S0Wq2GcA0c\nE/zKarXCmdlstra2NoycBctYYek4SaJh1gp7dlVq75zYWh0kwkT4jFgshpUdv2IFlVHruUPSBGrR\ncIPmz5+POYGkIYsFSXzlIxSNRtva2tDBbtGiRVWtGQpDQI/Hw5HjMUCA1dDQwBQX228iY0ciCWio\nwAPIvWxsbCT5k4Nh7Zda6UwSh+qTQJpgwK2mM3E0CGeTP8JNQ0NDAzaRqGJWOSOisUvINOGU8psV\npaUR32LkMvkOipK95kZBJTfqYr5/h+k5MN1000033S5K0yOwWTWWfVCtJ5VKEZWy2WxMP6gcNjak\nh1QPt2/UFOcPgelho0d5CDCwsae22+3U3aHQA3a7pIdZrVakuI4dOwZu/cmTJ00mE3C2YDBoMBig\nNR6NRpnrqlQq+HzixInly5dj4zkyMgLeIMJByAFffvnlQ0ND+DI7I3u9Xih9iIjZbO7u7saXLRYL\n5KyOHz/udrtfffVVEdm6deu+fftEJJlMtrS0IOIBhobAKB6PY4M/PDyME+F6vV4vAixKJECvlugN\n6fWsXsImmokxl8uF+BWpF9xBr9eLL6dSqdbWVhyNuRb0DVB1zdXmOKJVU7HUz2Aw4BQmk4mxC4BK\nOZtoR613VD6wOQgVIkjwAyEe8igf+chH0MxzYmIiEAgwUWTUOnTHYjE8DG63O5/PIzFpMpn27du3\nZMkS0XqOiEgikWDrcGCJeJIh7IsZ83g8ePbi8Xh7ezsl/MmGZ5UInm32VcDDiUwSSxvr6+sRPlaV\nbkHZbJYtmxmuiQJssFASsC3DJpwCpjLaKVLFwI7dWxgfq6Af88f4L4PpitIlRzRpYOqZicKkV2vd\ndDt/0x3YrBpRgmq1ypeWMkLoe4S/t7a2Yo2wWq2ZTIbdOshToLA96sDYlJ2MD1Ha3rPSE2+sqnvE\nb6pCRHAJKKISkcHBwRtvvBFJi1wuRzdgsViQyhIRijChFhhuAB17cSi73Q6+xsmTJ5lmu/zyyw8f\nPiwikUjk9OnTIBccOXKkvb0daZjt27dfddVVOMKcOXM+8YlPiEg0Gn366adF5KMf/ejw8DBmLxKJ\nUGOepAlgXJg0MB0I72Blj8fjLS0tKF7G+InvqU1PMGN1dXXxeJy9wQh82e12dslJJpO4y2wCAhoI\n7gXuJrX4eIpzOvOyBI1bELWLlWirLZuEIQfD1AuZ66yaAp0djHmgnaLhmSSMkMrP6qVUKkXSRKFQ\nCAQCmD2y0lF9AWTS5XJls1nUjON5EK1FNTvXBIPB9evXYzxwdS6Xi7s6FPWrz6FoiBzrEem8ycuo\nKN2CkOZk5yDy7NXMIovGarUabmU0GmVRcyKRYGaLCGGtVuMgVb0o9ZuqgD0LqFWZKAon0sNRFF8U\n2Fa3CzIdQtRNN9100+2iND0Cm1WLRqMUXMDOC8lhiquOj48z84wNWi6Xc7lcJE1QSoobOpPJxL0b\nKGr4zM01dtDc7DNnzrw0uGqoOL711lunp6exhw0EAuQjDA0NgS5YLBYTiQQ22gaDAXtYYJs4mtfr\n7e/vx+fh4eF58+aJiNFoPHPmDLgh3d3dpVIJtbRTU1Ok53Fgc+bMOXToED7fc8893/ve90Rk/fr1\nv//97z/72c+KyHPPPQc+yPj4uNfrZbxIvjthIkQzZMFVtC6UEAIXbZ+OCczn8+j8JFpMg2tPJpMQ\n3ZiZmWluboYsstfrrdMaLnN7Dg4CvswOAFCfArvE7XZzt86mmiA6MlwguYB9sEBDQGgCUQmCkKpm\nBPf1KqUb54LeFRnqpPmIFgfgDpLvjgdALSJGQQInCiOHTj9uK9qB4tkjZMr+apgQEoioqAtFrjqt\nzRtvnNrZslAo4HRgshBKJauCdE38kKESYYlcLsfiZaK15OOAFMNSFqPW2U6UfmCqKgejLvWPZP9y\nJKqAb6lUYnUE/4hrx50Kh8Mgr+p2QaY7sFm14eFhYh0q6IdXLhQKtbS04CmnuIPJZEqlUlg4IFug\ntkkU7ZXjy8w3vKK1NudaIFr9GUWqSDIcGxuDfwqFQg0NDXjbp6ensYBCQpAeN5fL4S09c+YMUk1Y\nwSkj1NraCl15n8+HfomrV68+efIkVvahoSGXy3XFFVeIyMGDBzGwdDrd2tp64sQJEbnsssuOHj2K\nlNsPf/jDu+++G1O3bt261157DQOG0wIyRkVBJi3QYkM0yjLTS6LhhCzSSiaTuVwOPZ0xfuYkCJ2p\nW4FwOAznHQ6HMTmirV8iks/nCeditnHGaDSKU4TDYa6VTBQBPqKqBankVJ0XEfZsREUXNZBwp+Dq\nqKVisViwRNI3oxEPnQcF9VkchnQXkUk4jFKpFI/HgdCGw+FAIADE2Gg0YnKgYQEXVS6XgQfi7/wC\naaK1Ws1ms5GVR6FI6HPivERuqV6o3rtsNsvmooTQQTs0aH1TMT/qLYZAIn02s02EFkHy5GWeI2Yo\nmsuhaCHfOwpwQN2GiDFV8Ik3wg2fs6sg01VE5s6dy8dJt/M33YHNqoXDYSzi3L4hDMI7Y7fb4/E4\n1g50ZxaNC6CqyfHNZ2rHarUyGkAgIpprFG0dxBdsNhtfm0gkgpfWbrdPT08jQdXY2Hjw4EGs0clk\nEmn/hQsXDg8PUzWnq6sLvU78fj8Wr+bmZpvNhuRKPp93uVzIKi1duhQfUKFFYd9cLocjpNPpa6+9\nVkReeumlsbExuKVIJBIIBJByGx0dRbThcrnC4TAW0KuvvhoiwmpaAhVFrBtVS23wR/hdJg6ZKCoW\ni/AHSERx6WeSplQq4Quot8MRvF4vdxWpVArb5+np6cbGRsYxGBjqzFClgJo/Mj4Qv2az2VwuB4cN\n2TD2/mA2BdEhplclFPCmMPeJsIlFESQR0BcyNMlms5OTk5Q6RL5QlNBwaGhozpw5OGw6nQbRAw8J\nyzYMBgPJI6xbb21txcalsbHRYrGwlUypVMJnFk0jrcXP0NUVhWuuxkMoPqGf5ixRHBIBHNOuRB2M\nRiNpIGzFB2krHAq15KK1U+Fjoz5Fqr6waLEyE3X8Mrc++D6Tstw3FItFPHuo8saTU61WsZPQ7YJM\nz4Hppptuuul2UZoegc2qBQIBbIRJVTJoJiI1rROKaJiDiLjdbiJC+XxerUrGjg//yqJmhmjENxDh\nkTpMAt6cOXOw6+/v7w8Gg9iNPvnkk7fddhtiKZfLhSLWtWvXNjU1IRqrr6+PRCII0cbGxgAhIjmB\njWc6ne7q6mKyhP1w29rakPfq6uoyGo347PF4xsbGRGTlypWvvvrqAw88ICIvvPBCR0cHYoibbroJ\nPSpHR0dXrFiBXWosFsN5oZ2hZhMxM2p/GQ6subkZ3xctm4gvUyqiXjNcEa4xkUiof+QpIpEIhejQ\nT1AAACAASURBVMadTif17DmeXC6HrToSMLgXbW1t+XweVQpMXiKYwxdAQyXnniUTYCriFqOyQpS+\nkYCRGZpDUUkUtSRAiCh+SCaTOBRIm/gCUFkcAV038QBAYBdfYJg4MzPDViai8TbBX2dshwEg6kWg\nGQ6HWTddKBQQt+HBY70Be4eqnEyKa9jtdvI5icQijYTTGQwG8jl5i6E0jaMhx8mSEsZtaoTKuIq1\nFtTeFS2bJVpikrxiAh4sAMDPORi2SK1Wq6tWrRIthkPMqrL/dTt/0x3YrFoqlaI6OMXxDAYDMRb1\nleASgJ+ISLFYZIKdOWHo6FBWhzINOL6cDcIg94a+XIFAAMIWX/va11577TV4lJMnT7pcLuB7DocD\nOkNDQ0NLly4dGRkRkfr6ema2ent7Cb5VlWbw9Fv19fXAGEdGRiYmJlQVcAwSRG0RWbdu3dKlS1Gf\nVF9fPzw8jL97vV6c1+12P/PMM2gfvGfPng996EMYLXXNcaXUHMKHqakp+AwRiUQidXV18NNMdQB1\npCo565DAmBdtAWViDKJZIsIeApCMQrVZoVAol8s4XaVSATrHTAzGQMl8tq7Hws28CDvXNDU1Udje\n4XBgVwGYDi4ZRWyicXNYIGUwGJDqM5vNgKzj8Xh3dzezqshQplIpCq5PTk62traiOsJqteL4SOnh\nRkCU65xGZUgjIXkD1Q9WlVGdS7S8EegwePZE8wpI3zLdmM/n4e1IgQFCyLyU2+1mK2dMI5J/qu4X\n/RZvkNlspvtBWZho5HhMCNOKEDHBtFPPBb+lZAa5GHytRNEAY+6ZWjmi4YoQQqPG2PT0tM1mY0pP\nV6P/O0x3YLNqLpcLGy7mOVCDSTYaX1RwJURD8ClpQ0U7td8H3zSTycTNL5kdyJbhnTSbzW63G8XF\nzz333De/+U0RSafTf/nLXzAGdKnAmstNrsvlYjJ/ZmaGOo3ZbJaMLMo8ou6HHa0A8Y+MjNx6662g\nYCD3A4nYXbt2IfeGOXnhhRdE5DOf+cy2bduwyoyOjiLYet/73rdixQrULxeLRbjehQsXtre3Dw0N\niaY2i0iotbWVaxPdDyhwcP9ut5ujZVmuxWKp1WokbRo0yddiscgJUQNcsgy4x4dSEaY3nU4j/4fz\ncrdhNBrxd/pdtZwONem43RMTE6Ck0iOKFoWzkkmlI6otVCYmJuTsVXVkZASl4l6vF7Xh5XL5zJkz\nuMVNTU2pVIpeB6u5z+djqlXVq6WjqtVqdrudkoPDw8Pw2dTWgmgvZtLr9ZbLZUxUoVDApYF2i2cv\nGAzOmTOHJYaMYywWCyYkFouxuk60nQEiLbofo9EI909aLNKKfxtLMZ6G6BcABtxu7rTUqAi/YvZa\nrblELHUORwOsWtwpv9/vdrtx7YlEQm3Ew16AugP7O0zPgemmm2666XZRmh6Bzaqhs4OIlMtlasIS\nVwTZl+kWYCnYs1P5V4U1yN1i6AauGtUZiLlTDcFut/f09Dz77LMi8vjjj2Mveeedd954443YFW7Y\nsGFqagp5qYULF1J0PJFIYMPb3Nz87rvvLl++XERKpRKI7ytWrGALaZPJdPz4cTZERjOUJ598cteu\nXcuWLRORPXv2kDF88803A0I5cuTI1NQUvnzkyJFVq1bt2bNHRKLRKKKTYDD4nve854Mf/KCI/PrX\nvwbYePjw4dtuuw2BxdDQUDqdBnQWjUaxwYcuA8NBu92OKq5isQhsDQENLg1JIBZvMdJirxnslymX\njtIuv9/PxBhyHowhcApUJgFjhBQIxoO8lGh9bVjeR7EiVm7V19ez9AokUqZbKEJGjXN01GQRFXHF\ncrmMSWOl1PLly+fPn4+JGhgYcDgcuIOksCM7S3H3arWK4Gbu3Lm4dp/PFwwGVRkz4mw4LEJPPFpO\np5NRCOXT0L6EaiBs0EOuLPJVmHOn00n+PYJdTLvRaMTLIkqTT9FAP9DZWebFfCS6v+J6mYNERM5X\nDK8VbgrjKv6RqWU1B8w6ivr6ehbD4OHBPDCLVqlUPB4PQlVmAXS7INMd2KwaWzzU19dTPoo4OMTo\nWDzEUieCIUBL+M7wA7V/UFFEiRriGyyQCgQCP/vZz/r6+kRkYGDgySefFJGbbrqppaUFhcyBQMBq\ntQK1i8fjOCxSF8wDNTc3Y2xqzY26mni9XkBJExMTwHauvvrqN954A0e74oorstksFqbDhw/jre7t\n7Y1EIu9973tF5ODBgzgLjvae97xHRPbu3fvrX//6n//5n0Vk48aNgA0LhcITTzxx7733YsYmJycx\nJ6QemEwmalyh4TIGSfFvwDgVrcUXknki4nQ6scMAqEgCRVlrTg9JLcwSmx2n02mixKzYMypd3FCo\nxwWOxUksZCYXQzRAWDQYmdNLSJNwsSjk+GQyyYpj/hE4MzKaLDY4dOjQ3r17Uf+3bNmyWq2GjUu5\nXGYXsVQqhdlDlRjcUjabZbaMbs9ms7HK2+VywUkjKYWZBL1FJanz4YRf9Hq9wWAQp0DBFl6ZeDzO\nNDDJ6KykFEV2EuUT+DtBYDgkAsL5fJ7Qer3WnM/n87HlGPFGmkHrBSFa7TZvK3NvrGAzaE2W4YyB\nyhoMBvazNpvNRAuDwSDeIFbC6HZBpkOIuummm266XZSmR2CzaqVSifWqCE2sVisVZoHUASmKRCLY\nqwIqxCYXOAk3gCqPi+ERm8Cyi1hdXV2pVEJv5UcffTQQCPzud78TkXfeeWf//v0isnLlSp/P97//\n+78i8swzz7z11lvYDDocDqAiJ06cIFAGygP218ViEaBff3//pZdeim17sVgsFougCfT392MMbW1t\nGzZs2LlzJ64dshQisnTpUiTP+/v7qRXb0tISCoVA2aqrq4Nu7/XXX9/T0/Pyyy+LyJYtWwAwXn/9\n9dVq9eGHHxaRxx9/nP3AWLBMXS4RAU8Sp5ienmZFLffRYBgifmIMge0/9tROp5NkfcpH4YAIQN1u\nN5SlcJk4AiTbKVjO+8JYGbLoFL8gE9KoycOn02kqGEFoiiwAxjGEtgBEq73iRBNWpwwuQoFFixbl\ncjnQXp566qmFCxeuXLkSRwOuFQqFHA4HeKQmk4lXkU6noRAWDoeJraXT6UKhANSU3wS2hoKEkydP\nLl++HMEWg1owHvFliJvg7wQbIZqMCAx9MnFpLD5BwIQjAJnEZ8yniNRqNdaMg4VPfFtl9CAag24L\nrojfxAdSaajExgJqwJJsdYZHy2AweDwethmjjj7rWCCRQxk5wgO6nb/pDmxWbWJigkoc8GTI0JAu\nRZ20arXKAh02QEkkEsQ3mOtCX0pqWrNNZSqVwhuF9/+pp54SkQ0bNixZsgQQYi6Xu/TSS0VkzZo1\nDz300C233CIi8Xjc4XBgfeSa2NHREY1GsbqBDY8X2+VyIUFFwEc0sQO85Ndee+0vfvEL/P2aa64B\nvhQOh/fv348Xu7m5Gc5yamrq4YcfBqQ5Z86ccrkMWn9nZyf4iocOHdq8eTMwrq1bt2KEu3fv/vSn\nP/3uu++KyDe+8Y1Pf/rTmJNMJgMUFBkRFkvBuYoIE1EoVGKLQqZP2M4G2A7Lmyg+Uq1WOedsjgMG\nYEXrlE1ZECZs0DHkHO8CMSS4f1W4DyuvKP5ANIn0qtbDU5WlwAMD98YdhiqApALR+F+r1YoMYlNT\nUywW++1vfysiCxYswL1ev379kSNHmKDi2s2qqWQy2dvbizulVrNRjcJgMFB20uFw2O12FGAQEoRu\nFhFaCp1EIhHClejjKhp1nlVclLqgOGR9fT2x1nQ6DaAV6WT2dlCbP+ALENGgQhuRSe5s1GJNNrzG\npoF0UKPRiFPk83k4bK/Xm8vl8EcAvyzcZBqVZQMsDNXtgkx3YLNqDLy4sYUyIV4Jm81mtVrhEmw2\nG/t9MNuP9410auZ7KAlKYVYRocrt6dOnfT7fddddJyK1Wu306dM4jtvt3rt3r4jMzMyUSqVbb71V\nRIaGhtiyVpUOmp6eRnHY6Ojo+vXrJycnRdN8wiDZVau1tbWvrw8FW4VCAZqH77777ksvvQR/uWjR\nohMnTlCB95VXXhGRBx544Nlnn0VkNjg4ePnll6OG+sCBA0uXLhWR4eHhY8eOYRGZM2cOQoSrr776\nZz/72Xe/+10Rueeee06fPg3Wfi6Xw/QiM4HVLZPJIIQSkWQyiYQQU2WiafXih16vl+kNilXi7lBJ\njxW11GOEJ6O3YIgWjUaxX0HxA05HRwWBSsr9kWWA3BjGQHEsOA8GARgkdjAkf5PvTn6EGqaQLIA0\nKgWxGhoasPKOj48///zzItLR0XHDDTcgnhgeHuZjRsJIW1tbPB6ndFYkEuF8MohsbGzE0xIIBNhj\nmo93LpdTixRZwkHJKGQK1RwY6yPxQ5fLlU6nMQb8ikXNTGtxX2gymTKZDJWccAoQc+AvRYntWNrI\n/l6ilBhic8A6ZaPWcq+1tRUPIfhBdL1cBIrFIuvB1VI/8lB0O3/Tc2C66aabbrpdlKZHYLNqFAEi\nl6lcLtvtdrac4MbT4XBgnwgAkJ+ZYuFOH7kN7AohvA3EJhQKYf/Y3d1ts9lAG8NGHlvUZDJ59dVX\ni8j999+/a9cusBDL5bLNZsM2GRQ+EWlra5s/fz6AR7Rs5n6W21LRUnQgW2M/OzExgarehoaGPXv2\nIPo8deqU1+vFERobG3k5oVAI+ZgVK1YcPnwYPzSZTNi/z507l8nCnp6ebdu2iUZs27Vrl4h85zvf\nuffee3/605+KyJkzZ0ARhKADe/sSgG1qagLghiJxEt5ItMvlcrhTcnav3lqtRlI+y407OzvZbBf1\n1KIAgDgs1Si4wSfRUeX6o1CaeCwMeVAmzFjtzmyNirOB10f0kl/mYSmkC74ceaRWqxUT1dnZiRhi\namrqRz/60Q033CAil156aV9fH8l+yFw6nU5SZNHJE88AqLOi9eQklsCOIcScwTXHjEF7CZ9jsRiV\ndpnWheAIQTk8e4lEAhLJojUXVdnzokU/RAuZrAL5EINxOp14QfBIn6OVzLsvmu6UaAEZZgxiV5gH\nv99PLbFwOEzFOPVBoh50KpXCl4m663ZBpjuwWbV8Pk/xQCYnQqEQoJtSqQRVIRFJJBJqiyP6J2a/\nVbkmVZuARHC73c6SMngdHMrj8eC9/clPfvLQQw+JhilBuwF6QpRZghtANxD00n311Vep4uN0Oplq\nikaj6D3f39/f1NQEMkU+n6dvW7t2LfJ/v/nNbzZv3tzT04MxIN1y4MCBG264AU70xIkTnZ2dyGzd\nf//9GCQyhTjsqVOnwKf/yle+8pOf/ASu6Mc//vG///u///CHPxSRBx54gHk+pprq6+stFgugS7PZ\nzBV2enoaQCjaAcOp+P1+rtEEA0ulksvlYoMS3IjW1lbKo6AWihgvliSATsxcMrtGkbBMJsNFE1Jh\nRK5YYkV9IwyGDcDg9gAVsrqIJRYsFgSRR1VJF03kgpfDjlZgmohIV1eX3+//y1/+IiKDg4Mf/OAH\nASNDEEtEoG9JuZZMJgOfTUlDJIe4JzMajcB+29racAlut5vd7DAAcBnoBjBCVVODiUO6/0KhQKSu\nWq3CPfj9fnI0WPyQSqUoAYXOdhhtc3MzDosX8xwxKhizaywpY+/sXC7X3NyMdyGTyeBeo9sDtoCN\njY1UlmL3CRwHL2M8HsfPdbsgM5xT8aDb/6v20EMPobyJ1Y7A/fEZ9Af2X8AHr9fL2liqrIqy+wbo\nz97zom0V2U0KtaIE6CORCF6VQ4cOQVW2Wq1CqlVEIpFIY2Mj0+NUKtq2bRvqsdxud1dXF1Y6q9WK\nSKivr+/zn//8oUOHRCQYDG7YsAEZrEAggEXzxRdfvOyyy0Bda2hoOH78OGSl7rnnHmyNjx49Go/H\nkah74YUXUPQqiprf1q1bb7zxRoj4lctlOMtcLvf1r3/99ddfF5GxsbEjR47s3r1bRO6//37EbSxl\nE41Mweo63IhkMsm+G1hW2CcMAzhz5syCBQvAnUPwxKIxZgrZTgVLHkWNmS1jAh9sN7x0ZKPlcrnG\nxkasdPBPXGHVdAuOkM/nIfjLOyuaf+I2n0cmuQ78PTpyPBhqjTYV/ORvVP7wMJw6dSqbzX7sYx/D\n5Bw5ckREWlpaZmZmsKtYsmRJOBzGGt3Y2AjMIJPJBAIBOC2fz9fW1obs2sKFCxHpQk0YpyMvifcC\nRhYoHbOcXelMpWM12GJ9HqaRHJlkMsmiSRwBQsZglyA79bfnVdOKLATkF1wu15w5c6gHhg9Wq5Xa\nj0gfMpdGv8hatPr6epPJhOnV7fxNz4Hppptuuul2UZoOIc6qcUdMFQaoj3PnSCye+kZAnLAxTCaT\nJDs5HA4gJGjkSMiIwBSr/YHhsK0JK6sefvhhZIyWLFliMplwXjDjoaPBzss2m+3OO++kfsdrr70G\n7jV1BL74xS++/fbbwBsXLlz48ssvYy85Pj7+61//WkTWrVvndDohYhsMBo8dOwYM8J133qFkeyKR\ngETv5s2b33jjDUBJjY2Nf/3rX0Vky5YtfX19S5YsEZG+vr7Vq1eLSLlc/v73v/+pT31KRB5//PFo\nNLpx40YR+eY3v/mDH/xARLZu3cpIFEw/RAbsrokbQeFzijNRBaOnp2d6ehrhQq1WY9/OarUKuKy9\nvZ10TRHJZDIIW9EmUbTMB9OK9fX1ZGBSdSUej/NXkPOXs7s+knQHSv05urHnJIrIjqPCLDBMfplR\nKRNFYIez1A//iowdDtXb2zsxMfHYY4+JyKc+9ane3l7RWl+ykzWfZCq+g0fOgIMAuM1mUy9BTdQx\nCKMRogDQymwi7yA7laCJKJ4cUueRFCTURC0bTk6hUIjFYgx22SWZilwcqijkRoS8AP/dbvfg4CCC\nrWg0ykYTra2tbKBKQTgmZS0WiyorpUtJ/R2mO7BZNafTifdTLYdUSzLhRUR5w/P5vNfrpXxOOp1G\n2oPLDaAqKsih0kgUZ4niJ/iJ+vr6t99+G+7QZDJdeeWVIjIwMBCLxYDUoUqGZUZYYbFIrVixQkRu\nvvnmWCyGhshLly4FGjk4OJhOp0niWL58OSqKQqEQcl3Lli2LxWJ4w7du3fqlL32pv79fRFwuFwta\n29raINY3PT3d3t6OZTEYDGKtHB8fX7x4MXIwIoImYddee225XIZHeeaZZ66//npc2uOPPw7Qr6Oj\nIxgM4o+VSgVbBNHKY0XDFalfTt6z2+2Gm6lUKpTOQpUS7gtLbqEYhDEEAgGbzUYIEemNUCjkdruZ\nLCF7njBmJpNBLbOIoLcIe/viA3YSXHbZTCufz/PBgFq8aMs9/87s0TmEDnwTSSPRfDP2RoRJVXdi\nNBo7OjownkceeQQbFIfDcezYMZL+yXDhKu/1etPpNCYEyCeceiqVwvOG7BT2ath78TJJFGKnLtw1\njEGFDc1mM7lRxWKRlVVsoUItLuhIYWyUycdzzjIvDp4lX5gQZjG5xWEeFMx4gMDJZBLbHaiUsc0b\nay3YsQwpNOpPUoxNt/M3HULUTTfddNPtojQ9AptVI4RFEjz2yGxTC2FsOVuKF1GaiFSrVbfbTbED\nbuTJJYOgAzZ6pIGAiK+yxsGe/+Mf/wgSx4oVK6anp0G68/l8jAZYXBmJRFjpeerUqUqlgvDI6XQi\nFDObzb29vdiuTk5OFotFKFehclk0WRBISWWzWZKhzWYz2zR7PB4UF/f19a1atQphUyQSAR3D5/OZ\nTCYocVx33XWPPvqoiFx11VUdHR2f/OQnReR//ud/7rjjDmh5fPWrX4Xi/pYtW8j6g0QTduJGoxF7\nduyRcWnoqoUQgTwI1N6yaRO5G5lMhq0XjVrjY0BnOJ3H41H7a6s9BHA3fT4fHoZ8Pq/qO5COwfgJ\nRtJdpVKhVAr28tBo5xH4E7U1s0HrL0zVD5UOrmqpiMK4E42kinAQIaPBYPjVr34lIl/4whdaW1sh\nsIJwEGdnRzEociE8LZfLFN1wOp2qhgW1vnhqzj9UoIgEkI5EBqZKLIRMCY7G9maYfNYVoGu5aOi9\naMi82u6LdE2qkHCqiSuiqIOxIwm3FNZByIsnB8dkhzO1oyYJXCp/RLfzNN2Bzaql02kwtgmIg5JE\nSIGACchmojW3ZWtEwv0GpXczVXNEEUFgcQzeQ4oAjY2NAdYLhULIHu3ZsycYDIIiGAqFSJdimgfo\nEMbQ2dk5OjpKaAuLeLlcTiaTYKM1NTWR8JbP57H0mEwmm82GK9q4ceP27duvuuoqETl48CC7IRcK\nBfYRTqVSWA78fj8OFYlEarXaunXrRGRycvL973+/iPzhD39YuHAhervcdtttn//859FvZcGCBV//\n+tdF5O677x4eHmbuJ5fLcTyU2iPgJkpxAglv2EmgQA2SRcAbjVqXURFh9RgOzt0GZg/qR0So6uvr\ngbuGw2H4JJfLxdYeGAzzlwS7APGJpoLBdBdrnkiCB2URzsDr9eIy0RWFfZwJyp3Dzuc8qLR14snU\nWWf13re//e3//u//xuSoOGe1WsW9bmxsPH36NJ5DnIvNUMj8JCHe4XCwXbXJZKK0YzqdpvoGTwH9\nLRGx2+1U7bJarRQw9Pl8PCzVWKBjQq+DD9ASo9AJL5OZPKixcMeJf7VardCHFK0TN55Yq9VK8J+7\nGajtEJjFByijkt+vEi91O0/THdisGkVsKdoL2Tqmo5PJJD7TB6DwCG5venqa6yZVgtRuKUDq8a5S\nTVH1kVarlWpJmzdvBsMiFApVq1VEYGpvpObmZqwy8Xh83rx5yD8Fg0HQjkXpPR+JREZHR6H5hK67\npKVge+5wOPx+P76QTqf37dsHHeGenp7jx4+LSEdHx8TEBNLv69ev/8Mf/gANKqvVivMit4Ritba2\nNso8tra2gpF//fXX/+53v8PkuFwuBJdjY2N2u53lPm63G5fJtKIorXvVdl90GKjmgZfF4oibqIrG\nhsNhevTOzk76DPZx5gMADUZcEXqR4AupVAojRxkTC3sx//gj1kp4FO7x+YFdxDBONjBj5oYVuExE\nYVGmwxalVTEPpRZxUz3LYDAgpZpMJh999NH77rtPRF5++WWoOonGOsFzDpILLjMajdINq2R0NVlF\nN8x4kVV0IHGwYKuidAPH0VBdzqI9fmDCDDlOdTMhIjMzM4yK4ObZUY/1BmpdAbO2VG7Ea0s5ZpJ3\nuC9h6YVo5Xe4BPZ8ge6U6HaBpufAdNNNN910uyhNj8Bm1QjpiLaPg04EgSBKZRuNRkBVNpvNaDRi\nY4uCZfLvEWlBxoa6EmiZKAoLkYiTiMRisY0bN77zzjsikkwmv/e974nI4OCgWrtqt9tx6ng8Dpbw\nW2+91dnZCXwvk8kQCKIQ0cTEhMvlwhhOnToFhSERKZVK4NZPTEwsXLgQ8RP27wh00uk08l5nzpxp\namrCYU+dOrVly5aDBw+KyLp16xCmnDx50uFwoF54cHAQlEjMCSCsarV65ZVXfuYznxGRoaEh8Oz/\n9Kc/3XvvvYcPHxaRbDbrdDopskApZNLVEMfwsAAARcTlciGLg2piMEVZWRwKhTjDQGsZOuObbrc7\nFotdcsklIjI1NTUzM4Ngi1q9EFjBThxiH5icuro6TKNahpzL5RgmqqJHpIyy4YhoMhai8ewZMlK3\nnoAYjsCsGNl3pK0DYyQpERPV3d39zjvv7Nu3T0Q6OzuBP+OHOIXf7z9z5gzQ6fr6+nQ6zccMEQ80\noFkvz0edOBvAPYbLrD+h4Bn07HE0TDUeGAp8QCuAAvzMbFFQGGr0xDMMWp9lFp+IwtoXrVELxFw4\nvSxpYI4NARzzoKKIAhPHZnRutVqpJ6fb+ZvuwGbVKLHDLsxqWQ/4GgQDCWFRag+pFFVNHB/4JiAt\nTIwe+Aby4Tis3+//9re//eUvf1lE4vE4tDOgZY7XPplMNjY24l31+Xzgta9atSqXy2ER7+7uHh4e\nBoLEjIXT6SwUCkDt9u/fbzAYSGWGZMYrr7yyatUqImbhcBiL2u7du6+55hoRaW1tnZiYgAPr7Oxk\njVStVoP6xoYNG2KxGA+LpTabzfb398NHGo3G1atXY7V9/vnnIXz16KOPulwu1kKpaknkAvh8PnYG\nAMEEswqcp7m5eXJykqkO5ClFhKxopNOw7UBnaqxZsViM1Pnu7m5cRaVScTgcTJKpJHXmHSGHKEqi\nDnrqnGqqhLBjDjBDamqIlocjtx7tocmep0QFZavA8qCEPHXOuC5Xq1VVP4JP7CWXXPLnP/9ZRP71\nX/81m82Sp0BpEvKSDAYDVWAaGhqw7fD7/eSaQ3EGX0ADLdH01VhFx6tQwU8OGN6L8DUGiTbZfBfg\ntnEH8eSoGDuQeWrcUP0EBXyiwLZsKCHaRoEicEwENjQ04A4Cz8SDYbPZKKTCRKkqsqPb+ZsOIeqm\nm2666XZRmh6BzapRhF6UxsrpdJoJfOI8DQ0NxFKYVEduXBWyE418jM0mwBDq9rIfFYtYIepBFVGQ\nOL7whS+Mjo5iJ+j1ejOZDIpM/X7/n/70JxG5++67w+Ewoq6pqanGxkaODSNH+0H8ESId2LqCYi4i\n69ev37NnD4KtTCYDgUER2bhxI4Q2rrnmmnA4zKR6d3f3pk2bROTUqVMIMrD7BuNj3bp12FB3dXVN\nT08D5xSR/v5+0LtfeOGF22+/HYdStfNVwUAgomNjY4iKRNuSI/KrVCoIERoaGjo7O0GwjEQi8+fP\nx77b4/FQUVdVU2SdMnf9FotleHgYpwMox5aMuJWABHmzVG1MagQ3NDRQ28Lj8QDjZWdRtRscwiaC\nYCQ3sqscS3FFU+gQjdTKXzEkYsABIivxRnYhsFqtYLU8++yz9957Lzpll0qlU6dOicjatWvj8TjI\n9yaTKZVKoT0pZUpisRhHazAYXC4XnkNeGvBMhIzJZJLdVnkEDBt/tNlspEIUi0XqFBNOBBEfIZrH\n4yF0T6lDPieiiBYiwCINBEgDYEkcgc0ERBFpxMgJ56Lvsyj6nCiKJ3yq1j/odp6mT9msWfkSQwAA\nIABJREFUmsFgwNLjcrnw+qEvJUu72EOPxGsuMSLS0NBA2hJfObCemA8gY5g/xBuO1+/06dOPP/74\n5s2bReSxxx6DRwGfm0IAXCMOHjyILpdTU1MU44HyLHEq5nvQRUU0xww9U+rHL1q0aHBwEMq/d999\nd0tLC/EozMPBgwcXL14MCWCLxfL666+jhmzhwoVvv/02riIajWKla29v3759u4iYzWYK/7z11ltL\nly6FE52cnASvHYV3XMjQXllE0uk0/QH3CiCVYaIoDT41NcVlqKmpiUuh2WzGNRYKBYvFgskpFovg\nxIsIqZj5fJ68cwBx5NyzDoneBZsYdlzkSqpqDv1tqxdVKkntzmwymfAwAIU7R4kDfpEpVZWdz1IN\noKai4V3cLRE+rVQqWNDffPNNVZUfG5RkMun1egmp0XkDcxaRcrnscrlwOuSc6MxYf0ayH4pMWLjG\nRCA7UKOE8RyWPPwxG4pStSsWi+FygMCzUI8AtaplQ7+IPsv4VwLO8IuYc1JA8/k8q8eg04HzsgYU\n04g3l7r1ul2Q6Q5sVq1Wq7FhEhbuyclJ9vtAkSxXIjz6sVjM7/cz20xcnqsJNvJkBnMPq3o+Nuao\nVCr9/f3ISzU3N3MlLZfLTE6MjIygDDmdTrMZRDgcxtE6Ojooq0N6MY6PtEcwGJyYmECpGWXyg8Hg\nmjVrQB752c9+dt1114FYcfnll8N55HK5sbExbM+j0WhHRwec2RVXXIHGYMlksqWlBV9+8cUX4d76\n+/vnzp27du1aEXn22WcbGhow4M7OzgMHDoiI3+9HVIp5oFjX3LlzsXAgI8WFm3l79pRBIRp5ARSb\n51Lb1NSECjMR8Xq9TFDV1dWBvt/a2jo5OYkwJZlMsjyZqvCIEUnlt9vtWHkp047EG50Kk6blcpnF\ngiz7KxaLLPsjYUE0DyQKOxxujy5QNGKFmjnj/gCi7xiP0Whk9RjX60WLFv3f//0fSDS7d+/mk8N0\nps1ma2xsxIbG5XKxIIzSShyhaPGNaEQVbsX4giCbxQlRXQ6ZEThCoVDw+/24F6iOYNUKvyBK/Fqn\nNY0jkQRKoZheyMaLCGon2FoF2vO8ItEiP3wZWTTcFJJBcB95OWrrFt3O0/QcmG666aabbhel6RHY\nrJrBYCAhnm0AmepAUMWkBTZ0nZ2dZKOh6hP7WY/Hg/0jIHUSzFDXKUopKPJqlFBKJBLf/OY3ReSO\nO+748Y9/LCLHjh1jFkFE5s6dC757e3s7NqfBYBB9HUUEXETkJOx2OwYZiUS6u7uxtfR6vaOjo8ii\nhUIh7Nmz2ezY2BgCu6ampv379+No8Xj82LFjInLrrbe+9tprCA2DwWBnZyfp9bh2n89ntVrB5Wtu\nbgZ853K5du/eDQjrqquu+ta3vvWd73xHRIaGhqAbYrFYII6FeSCkRqmIAwcOLF68GNtzRCQIWTwe\nD04BCVpW+FKYKp1O45vBYNBiscyfP19ERkdHy+UyuW3c4IPfKBrih1vMglbkPyg8z804kUlI8eIW\nI8eGaMzhcBCRFk1rCmgk5WgZWDDLwioIdEMmoRFcR1EaOYIbqT5FxNkYq6nY2rFjxygATwmlTCaD\nyclkMuB84vkZGRnBN0nAy2QyTqcTR3C5XGRgZjIZdmZgSbIqWs0sFwIaXDsL2J1OJxNReBTxgYR+\nhL9M+/GK+CGbzTISdTqdeDCQIWMwHY/HMUhKMKOjKdOTEAERRQUfOUVgm+FwWC141+08TXdgs21c\nvJDZhk8CAAKyBl6DTCZDZgGTZPgChdSYuaHbA6SuasqJhu+xjUUkEgG8s2zZMrq9TCYDALBarcZi\nMYyhUChgCXA4HMzJ2Ww2AFaiCBFVq1U2grHb7Xa7HQjhsmXL4HJExO12I7EfCASuuOIKEPRFBLDh\n0NCQz+eDLuIll1wSiUQw/qamJvhI8KrZvhaIXHt7+/T0NOqQLrvssrvvvvvEiROiFAA0NjbG43Gs\nPolEor6+HusXgT6fzzc1NcXWlGxbnEqlKPBvt9tZk8TCoFwux2aGgUAALh/TyFQTVlWv10ufBHUi\nKuypbUjZ8bKurg5jYDsb3E2M3OPxQLOR0y5aPYPa7BHj5K9QUsakKXkZnBA4DD5aOI5BM9HQOTo2\nPmOkfphMpp6eHnTq+dCHPoR2ARD7x6+SyaTT6TRozYip7cQMk6qYxQyiaD2X5WypQ/KS6urqyFdC\nPwE6M04IsF/RqCi8Ipa7qWA7fRj/iOuFp2GZBI5JCJdbENUvUosSu0nCifgC0EgSedgPU7fzN92B\nzaoZjUY88Q0NDYODgyLS2tqKdUTO1sEjUo9iYfKmpqamcARms7FGMEEiZzfLEK2eqaI1Yj969Oia\nNWtEZPHixdDGLRaLgUCAmed0Og1nRukmv9/P2BGkMnI33nzzTRFpa2traGhAkiASiXR0dCBQgxIu\nB4bPCBkxeGa2jx49evXVVyNxlc1mg8Eg2IyDg4NIzrW2th49ehQLusvlQhnZ888/39bWxuQEtVNz\nuRzkmu677z6uj263mzPZ3t7OFip+vx9uz+/3YystIl6vFyLC2F5gtBBCRMDHrmlGozEYDHJ/kM1m\n4WVB7hBtdWM8we0I1YMMBoO68acrIjUDElZY2aE/xHWTddkqDUS0xZcPCQgazFzyptC7xGIxiJbx\n+REt56TeO+pDUjmQ/lhEWlpaoNfc1NSEaQwEAmTo9ff3W61WBhz4Ca6d/BSm9+gG4FF4FYlEAm7A\n6XRSlJIeDgwXbE1IwbDZbLFYDPOPKm9yermrYDE73kEGmtxhsMVaPp8n45RJQZRaMoYmR9fr9TLq\ncrlc2IpRDY4BnIgkk0mdhfh3mB606qabbrrpdlGa7vNn1SD7hM8LFy4UkWg0ek5FC/Zx3Ipiz44/\nqv1WSJ03GAzQIhJt807EnzqhlGGt1Wperxewnt/v54a6vr4e+8rp6ene3l4kkAwGA8IgdNFEUNXT\n05PL5ZB0gf6TaHgaIEQIAnEA+GN3d3cwGEQsValUYrEYyW8ILCC8hGgM4vrYBXd1dQFaKRaLixYt\nev7550XkpptuAtjo8/mWLFny+uuvi8iePXvWrFkDRuLzzz8Pranrr79+2bJlv/nNb0TkwIED6Gco\nIslkEvt3v99PsfNKpcJ+obFYDIFUXV1dJBIhd7RWq2FPHQgEMCE2m43hEYoccC/i8TgDLFU/hcR0\nm80GviiiHDwYoHSTdFevNVYmpzSRSHg8Hsq4GLQ2wRWtAyTIjWqEJBoiTSCOxXDsWgJZEEoSU69E\ntNgd4Qj+jvaMolWtsTWryWRCTd727duhhHL8+HGyLovFos/n45wwb0d1KFw4oVROaaFQwE1JJBLs\ntppIJFSwnaoczAvW1dUhGVksFhOJBHn2amzH4khyFwGHnCMHjDhVrTATrSU6bgqUwBiZ4QGALAtj\nR0bk6LopGjKJ6VVF5nQ7f9Md2GwbyRRYAoCfMIPFTHtDQwPWR7XReGNjIzA9EWEPWXATCLzQFVG6\nBmsTS23QfkJEli5dOjAwICLot4TToRUy9RgBeqBSCryMarXq9XqxuD/xxBOoFz58+DDJCwC4cHXk\ndgMEw6/C4TATZqVSCe+t0+lkB5murq5t27YBh9m0aROXvFgsBpZHJBKh8FKhUPi3f/s3EfnCF75w\n3XXXoTS7VCoB3/vKV74yPj4OwArZO0BYdXV1WHYbGhoikQjXR0449X5A/sYR2tvbOXJSIbAwMTlE\n58HLUbk5ZrPZbDbjRKIBZSCCM/8E7T7RutiI1n2YJUdqS194U2BodHtUDiM6jVoLJm8oNsaB4bc8\nHWWc6NXUlFIikaDLp4IiMkm4QX19fdCiPHPmDJd+0E/gXRobGzGNAF0J/Bq0Vibc5wHTw+OENtlU\nxGdFP9tko0sL7ixxdcKkcnbXGIoGQICNfpoJS7VIjkwQ1Rdi2PijxWLBo8WGRz6fj1pfyHWRjsS2\nO3a7HfszVeJAt/M3HULUTTfddNPtojQ9AptVo9pFqVTirpMJfFCkuPckEZl0KUjRA84COVvO5qqB\naoEfcsfHHatozZOAv7E2c3p6GptBEfH5fAjFMFqiNAaDAQEWhKYee+wxEVmxYgVafB07dqy7uxus\nB7PZHIlEsBOfmZnBHtbtdp85cwZRkdPpzGazuCLoeojI6OhoS0sLG2XNnz8fNOtEIoG4ra+vr729\nHdTNhoYGgG/o/ozIYMmSJaC8i0hPTw8i3UAg8Mgjj/BcFASyWCysbM3n85hSp9MJuElEstksyBqo\naEYBwKlTp0BXwTxgx83tP37l9/vJviFsC4UO0epV2S+KMQ3wN9GkaQkAUv2EIDB4krgKFixDYwkb\nf8DIZNkghnY6nTWlTynrkUHQF03YhdAivglsk52R2bhOVWwi+ImT4tk7fPgw5wTxjWiAJ66dqDiu\nRVWOJ65AORJWlwM2PKfjJUg65Muwo1g6ncYTizIVlhMQpVQjLRaSU1wKt5h6LtDBEq3qXDSZLpwL\ng6HGFYNporWAK/nC4vh1dXUzMzOYEFXBQLfzN92BzaqxXJ8Qoio0gLIbdVETzeVgXQbJniU+JLZR\nJQjEXDKnmXvAKyoaAILEVaFQAJ5TqVRaW1sxHuTkKEaFP7a0tASDQSxevb29X/ziFz/+8Y+LyPr1\n63ft2iUira2t+/btwyqPYh0ILmSzWSwBqVRKVXckvJlKpbBkLFiw4PDhw729vSIyODh44MABNF/e\nv38/MmddXV2k7ZVKJRz/Bz/4wYMPPgjNjnK5/Oijj8L9tLe3ozXzwMCA0WgEpRucMfhLJurQYRKf\nkSGj5hAcOZKO+Az6JRdQqvZx+XO5XNSozGazbFdNRqic3S6S+vEWi0XV3+Nqy0bD8GEiUqvVWLEn\nGgiJvh5sW8wStEQiQbEV9jJmTQX+iMPi2eOjxbIBo9GI00F1gkkjAm6kaOLLWLtRC4gnJxQKcWU3\naM1ZKCgD5TOCgRRkslgs8EkYJBFCugdKpmHGKFdPuqzdbmcN4jnoHKcX7p9+Xc4Wq2RnS4vFwo7J\nPBcgSuabSeVvbGzEgwGtEF6v2juCw7Db7cQ51duq23ma7sBm1bj8kUcOFSJK24n2dlWUXkTxeBxv\nezKZhNqhnF1Myt1oJpOx2+10Zvim2+3mZhMrFzZ90WgU58KGmswLyttUKhUs9+i/hQBr69atX/rS\nl3AVo6OjaKz8/ve/n79CT1usPkNDQ8uWLRORfD7f0tKCX2GppTYgw8dEIoEFxWQy3XDDDRgki2PG\nx8c7Ozux0k1PT8NZPvHEE+973/ueffZZEVm8eDGbcRSLxQcffFBENm3a5HK5MPL7779/x44dJKNj\nlQG3nk1AjEYjNfrIT+HiojamqVN6cbEMPBaL9fb28hZTsUndbfAWY6JwBNZgiZL6qlQqzFqRpW00\nGumfWCFAaUrRarPwZbvdTvdT1Tpasewd7oSyvDwvAziEBX+rscRf4aazBJgJM4/HA43m2267jaJc\nqMtmARl5+Spxo1arweNCNU1EoOuIh0FNNzLvi8eJusl8m4rF4jndn0ULtviu0f3wO3wARCPo87Wl\nMyMzXiW+s9I5EongrmFyeGt4aobj2NWxVl1dBHQ7T9NzYLrppptuul2Upkdgs2qqyip1BIgzgBbF\nLSp2vqFQqL29HaiI2+0Oh8Pc+PMIVOBGm1psBnkKcHlZCl1XVwdI7eabb0ZYEAwGDZqufENDAwlX\n5XIZgGdPT8/IyMju3btF5FOf+tT4+Di7Qa5cuVJECoXC9PQ0BMgnJyfb2tqCwaCIrFmzhv2LuXV1\nu935fB5M/eXLlw8NDYlIW1tbe3v71NSUiKAFJX542WWXvfvuuxjY1NQUMMYjR44w8ujr64OmfrVa\nPXXqFOTzn3rqqdOnT+OPQ0NDoNRv3749Ho8jOdfY2Ih0mtFoPHLkCOoKVq9eXSwWMdUOh4OYj9Vq\nBWLZ2trKfTdJhqJoDjkcjnOEZUXjKzKGYLaDHEIU8+II+Ff8nTLtCObU7sCksbFKnZLtotDnqFqE\nSJepFzY1LhQKjEKojE4xX/DI+UDy4aQkh2h5MtE6PeIILS0tEG6GMDHutdvt5uQwB4y6BU4IG7qS\nK1gqlUhqxZuCv1MKGek0prWI+zGWgugUCYcsSealIYbG5KAqgJRRTk4qlUJEjvaYeK0IePr9/mQy\niRukogus0catYc9Yqr10dnbin8hd1O2CTHdgs2pq+yW8cuFw2GKxwE+gsxRTLIT1SWuGKB/Rm4rW\nu1nFl9BRQhRBB+T/+XoMDw8HAgERaWxshI7G+vXro9Eo3jQkySibzaS92Wz+h3/4BxEZGRlhIUtT\nUxOSQ3V1dQsWLIAr6u7unp6exorPxisYGMYQDAabmpqgBcV+80ePHo1EIjfeeKOI9PX1dXV14W0f\nGRnBejE+Pj5//nwoVKFRvYhs3rx569atN9xwg4j09/dv2LABXvYTn/gEFpHh4eH169fjCC+++KLJ\nZILu1OHDh8EoEZH3v//9q1atEpH9+/fbbDZk/kOhEJJhWKSweEUiEfb5FaXrsQrEkVPDxJgoLgfL\nPQX0+FSQRU2cShS+O7AszDn6GJwj6YTEJ84LkFlVaucHllKwQJBrdLlczufz3PpwZSeJA2QZjJkO\nQ62OUgWZqCsPHI+gnCoziGdM7aEMf0zXy35DhDEJU8MoOkV2Cb8mImazmQL/RE1FUTskdIkzUoM0\nm80SA6T7QcMUnAIup1AogF6EU1DCCj8RrRqB00sg2u12Y2DozIcvML+o2wWZ7sBm1ehFyMJCowcs\nHKhsReY/HA7jTQBnj8XLhULhnNcPSREcDVEXd6MMBVKpFN5JeDXkpSYmJuBFZmZmDFpLEfyKyRI2\nJ2P2IpvNxmIxuECwP0TrHEGxuHQ6jWisVCrhciC8BN+AlxkejmtEqVTyeDxYs0ZGRtavX48aNVY0\nG43G66+//ktf+pKI3HHHHWjX8vOf//zjH//4L37xCxG56qqr8vn8kSNHRGTVqlU4/htvvPHhD38Y\nzI61a9d6PB6MobOzEwMzm82/+tWv4JtbW1uLxSJcsrpPj8fjWMTRk5C7aYryqZ1TSKKxWq2kw1WV\nXif0aqwkY4830ZI0THMybiPrBDkhtt0iXZASf6A54DNLkuEDGMNxLc5ms5Qxo5ofIy1QS/hlej4q\n6oLBwY0UHWpDQwMC3LfffnvTpk2IoUnYE6Wbl8/nUwM+Bpr0rIgsqb0kCqsWo62vr8fGQrTMGT4n\nk0lkcNEPk4Mkn5O9ZnAoChWyd6jBYCCjBOlnUaJbv98fCoVIqjSZTMye4l0TRS0MdwRp1+bmZrpb\nlkL7/X5wg3W7INNzYLrppptuul2Upkdgs2rsP0JhhcbGRpbdQNOIYrLYphWLRTZlj8fj1FNgvsFo\nNFJcFYfC0VSKFHVa/X4/lSkQLoiI0+kcGhqCahTiiYrWSpiAp91uh4Z9qVQKBAJqaxXRECFsz6PR\naGtrK6MQ6AUjAUOURjR64bJlyyh20NraimTJXXfd9eCDD37uc58TkWPHjjHV9Mtf/hLk+P379yN+\n2rJly6uvvgr4zu/3j4yMMM2D469bt+748eOYnMnJSYJyiUQC0OX4+Pg//dM/fetb3xKR++67j9z3\nQqFAshlkLHBYtlYhGoawAxMVjUaXLVvGgINBLeQz5GytWIp9QIioTmkVjQGbzWZW8oHmLlodmCrA\nIRqXj7w+ZjSZSWJ0xfvFfyUtk89kTetzjxiREZhR62NJFBSBO8WoCAzmcjkgtH19fXfddReenEWL\nFqGfJ8ZQp3VYZQoQNY74Mts/8tkWLbghlIovIE4lp5fkT0pnQXmLnHtU2p0zBibMbDZbMpk0aO1h\ncShUg1Avm6P1eDz4gslkmpmZAQOWN4IqU6KFYsR12e0T3SFEget1uyDTHdisGrNH7L2EFxgvEhBC\n5iFYlAMUET9Hsa0o6Q0uMaLl6okcEl8ipTgSiVC1iOm0eDze1NREeBOrgGikfNHSBnC9Nputrq6O\nHHS89jgg3A/+DjoGS4APHjw4b948uoRoNIq8lNVqRTbLYrF0dnY+8cQTIvKP//iPd911F2QPb7nl\nloMHD+KP27ZtAzVj7ty58GqhUIgdqJ988snPfe5zO3bskLOZ06I52s7OzkgkwmZd8KyVSiWbzX7s\nYx8TTUqK9ViYhHQ6TfX3ZDLJLgHE01CwzK0Ay1TVYilScqACRb4A29YQtkUSCPcFOSrRmAWENMkU\nZ94LbAtmgMjdoI47CPf1Wp9lllK5XC6cF+klgtIk/Ze0ftYoX8NnpnaAV7OQmVsxklaSyaTZbEau\nCDg2vkxUEM1QKA9PGTOqCMrZ8vyETyuVCo6AHtYYMNwPbhY9K14QNUHFKgVSUXjtGDBzhORJZTIZ\nXEUkEsEIUavAXzU3N7NQD+goboTaqhsY+8zMDBD4VCqVSCTAKpqenqZb1e38TZ8y3XTTTTfdLkqr\n+8Y3vvH/9Rj+f2RHjhyp1WrISzscDta3IscOCQBm4FFcXKvV3G43QBty+bC5czqdSKeT1gHYCtww\nlNxijwyQiqKxw8PD0Wh05cqVQ0NDhUKhra1tbGzM5XKBPkCxnLq6utbWVpvNNjAwcPDgwRUrVrhc\nLuAt9fX10GsAzAjmm91uN5vNXq93eHjY5/MhrY0975w5cwYGBubNmwfNCOgLGwyGBQsW7NixIxwO\nL1myBEBlW1vbmTNnrrjiilgs5vF43nnnnSuvvDIQCGzbtq2joyMWi1UqlcnJSfAbm5qaOjs76+vr\nGxsbR0dHjUajy+Vqafl/2nu72Div69x/ccghh/M9wyGHpEiJomU5qSJLrpP6S2lsw4hb123dFEGC\nIIYToC2CAg2aFmgQoDdFL4oWiKumQQP3JnVRuCiCoHEdN2kS2anjxo3sOLFjS7IpmxJFUhxyON/D\n4QzJmXPxw/tgW/3/z7GCAwJzsJ8LYUDNvB/73e9ee631rGfl8/k8wTEy9tVqlYtUDUMoFCqVSq1W\nK5FIIIhuZo1GQxQyapNxRkWIxz/GycAP4AGhwjAwMAAlARcKJ5snK5qiNvWQYiQ2z66f4K1EZiGX\nilIBYIrzlPGMe72e204M3iDUHpUnK/BF0I+ZwBNkYugzETAcPjRZtre3rxHtlYenecKVcxCIOXha\ntVrt8OHD1PYqDEtNBXJie3t7xLf5oQjo8Ca4ALmwXKGil7Aw8NtSqdTIyEitVstms8TrcHa5mHg8\nDn2mFzTMVAADcHyO6VIQmeq4vJQccGvUmO/s7DSbTTxpqCJ8WdUInHp0dLRcLudyOfdV5eLT6XSt\nVsNLGx4ePnXq1P/1Nef/bfgQ4r6iVqsR71J4nfAgNU/w15XZYolsNBqlUklC74rejI+PEz2HZy/V\nHBYvc8jQLGQcdnx8/MqVK6j8dTodGjkePHgwFouJZKXOKfF4/N/+7d/M7MiRIx/96EfV+0Mveblc\nVlxLfS6Q7haVX8vEysrKhz70ITN78803x8fHCe+cPXuWIq3d3d1CoUC88cknnywUCg8++KCZPfXU\nU5/97GfN7K/+6q8ef/xxJKy2trbeeOMNM5uenk4mkzR6fuihh5566ikKxVKp1Mc//nEze+aZZ557\n7jl1mIxGowx1KpXiFuiRKAUQhU+73S5fKBaL6XRatDRXbJ77otaHwclkMouLizygVCrFA2Ltc0uv\nOBpNJi1Ia6k6QjFhxbgQmFD4zrV8rkCi5PPpR8Mp+AIROaXWpP4w6DTf0c5JrHegqgAR/6Qf4Spx\nYMM0DxnGmZmZs2fPEiU7f/68BXUCKrPr9XrSQqRDELfcbrcJMsNL1Lqv3iuKqyNsIcERNSWhx7QF\n+xUJhMbjcfKjAwMDitCKP4nCoTY6hM2R/9BUF8MTo8WFRSIRHrdiuRxTlXzVapWwqtLJRF8VcBZH\n1OPdwxuwfYWURveCZuTFYjGVSvGGo+3E+xmPx6WOo5IvtrEcYWNjQ41XtF6wN5cD51bwSAdPhSzd\nbhduCFclk1OtVhHSjUQi999/v5k1Go2VlRXlqy0ommk2m9Dlf/azn83OznLeWq22u7vLYkqXLzM7\ncODArbfe+tOf/tTMEonEyMgI5uHMmTMPP/wwt0OGz8xOnjz5+uuvLywsmNkdd9yBTRocHLzzzjvJ\nhxWLRYjvS0tLnU6H1lPf+c538PDM7Ktf/eojjzxiZmtra8pDpFIpldwpo76zs5PJZFh6UqmU9sh6\nEGNjY9ojayk3pwCg2+2qTXO73W42myTzy+WysjgSoGJ1U78bWRQpJ8HSVmGv0ipKmrr6T0qU4uxK\nDlhiu660IF6vORpXCOnyKwSZ1IBY6VVx/d0kmSo08NhkwChktHdWdp8/f/69732vBfZYWzGVOfZ6\nPVZ2fs7giArh8kQwHmK78ARrtdro6KgsvawvhcYWSDvyukUiEf19ZGSEZBW7Rt2y6h8oILOgJFnl\nE/xRpZOMXiKR0IWJB6QCzZGRkXA4DD8rEom4XiB/xHH8/1ozPP538DkwDw8PD4++hPfA9hVipg0M\nDBCmm5mZWV9fJwBFYkk9F6TGrdJ95TPMTAI8hC9EcnObW+oLrhRCPp+nZDKXy7HrLJVK4tyTLaNJ\nSq/XwzUhEqK+JwcPHlSTFBj509PTKqBmj8xOfHl5mdspFAqdTgdHE31xKH/j4+O4aOFwOJ1OX7hw\nwczK5XIymcTxevHFF1WOeuLECTy/733ve1/72tfM7Fd+5VfW19dRAPnsZz/75JNPwkIMh8Of+9zn\nzOzZZ58lP8Hd7e3tSapcOk/k0jgFQSq+zLlGR0fphMkfxUd3S1+l34HwuYh/2olL6bXRaKifsuSL\nyGu6AmAKAouZJhGyTqfjCr/K43F/5cb6dDuiqoqALsKkBT7cYNBgU8Iics1d517nIk3r/lG9lfkC\nJQHqECS/itQjD6LZbIoc2A1EpePxuPo2uD0cNLXkKxONlLCvJLV043h+uKqbm5uUrGZAAAAgAElE\nQVRTU1M4PeoL6ubDSHlyF4p8EOzVA1KX124gRc18ZtAymQzHJ7CpcGKtVlNDIk5HOo1IqTkq9R7v\nHt6A7SsUJSDcb2b1er3nNExSfEnLDfmtbtBGRCZQUSneefdNUwiRI6iPhgUsYS6D2IsFgkA6rERx\nrkmqK1ERiUQodbr77ruJ6c3Nza2vr0MO/u///u9jx46pyk2BIOUeMB6EE++//37MTywWi8Viko3Y\nC5rwasQ6nc7a2hpfuOOOO7785S+b2W/91m8lk0nyYV/5ylc+8YlPYDNKpRKE+1arJS0JwlOYQ+0D\nSG+wJNEiQHxrJUj2nM4AFoQQFT6iUIn1EW4OR9NOwpxuGvF4XIEp3R0sfO1sVOGnZBjxPVdWikmS\nSCTYByjSpX8V6WWFpZJJlYUybwqdYbT41dbWljI36tLSbrd1m25EVM13iFSrhEMlBNFolIh0NBrN\n5/OS/sOATU5OanfF4HAEl1svZnw36OzsPggCjxKebzabmKVOp0Nkkk5m7BEnJycrlYrC6Rox2PwW\nyFNpDGWPNcg6OwFeSWoNDAzwLEZHR9WNSOk0thRcw97enroQWNAaQpopHtcFb8D2FSS0zKzdbvPC\n5PP5Xq9HgQitVVRd5K5He0GHeBkS7ZdZi3mR3J24OdI7nU5Hpa9DQ0PoMK2urqpYSmpypDpIMqtj\nOm+4SnwKhQIaVCsrK+r4l06neYFvu+22UqnE9SidsLGxEY/HRaZwX1fcshdeeOHee+/FBNZqtamp\nKQSiHnvssa9//etmVq/Xjx49Cl9jd3f3j//4j83spZdeOnHiBJm87e3tM2fOMJKFQuHo0aMWlJ2y\noMBqw8I1Gg0WUAga0nySYJ1KuzCBUipynTkpGh84cIBTXL58md5p5qSaEokElV4W1NiJNyGFJLkm\n7r5eHE4sqzw/l+DDys5k0LIrlqB2NijMqtpdiViZHPJMsk+9oDOOVKPY2TC1dP3IU2mPItNrwaIP\nzQGu0Ac/+MGNjQ2m/dzcnIx3p9PhLhqNBqu5OYLC+ElcebFYjEaj2nmoiFtFY71eD8KhmSWTST7k\ncjmNJPXC17wgGGbXfkg0UknKWq3mqnZZsHFUZ1ElCFV7VywWk8kk0yyTyYhg4vroYlelUilCER7X\nBZ8D8/Dw8PDoS3gPbF/R6/WIL42Pj0tR6YYbbkAVAsGbUNApWHvncrk8Pz9vQcxBxTehQNR8d3dX\nPWQlLqCeF41GIxwOi+glst/29jaO1CuvvHLXXXcpcP/2228fOXLEHCkpCxj8nH19ff3mm282s8XF\nRSnlhIIe0+l0utFo4GxJp3hqaioSieA/HT58uNFo0IelUCjQuvcjH/nIn//5n8OzP3bs2NmzZ2+5\n5RYze+aZZ+DZF4vFv/mbv/mTP/kTMzt79iz79/n5+a2tLfpVfvjDH3755ZeffvppM/vc5z4HidGN\npxGZVDUSCQkV1ZkZlQAiGbK5ZhuOW4YMPFvmaDRK/i8Wi2WzWdKKSEZxBFEBm82mdvfow7qNUSzg\ndiujJv9J/U1wMiREJOVlXZhLnXcbr0iuwtXJVQCQGjU5FnrWyrehW6ZIwIDTOlzZOwmPXSPRJDLn\n8PAwrnkikajVasz/hYUFplO1Ws1ms/ohSmbm9K3G4+EioepJ/0m5XgXJd3d3S6WS2Im45sxeHne9\nXu90OpLSkJsowicUUAmdiEMofa9KpSIXMJFIkCSGDS9tEQ6VSqXq9TohAUT3Q0H/WG5na2srl8sp\nZOqVOH4OeAO234Av0Gw2VS1UrVaV5RaNWJEZc6R0yFQp1iTBG5gXFojXKVrligDxtpMhU58k/kih\ntMqbYrGYemFInUhNlt98801E7cxMSnr1ej2bzbJONZvNsbExpam5Wvjl2MulpSXKnM1scHCQ/ib3\n33//7/3e7z377LNmdvPNN2ez2dtuu83Mfv/3f59a+6GhoT/8wz+kz+/Bgwfp4IVCz5NPPmlmn/rU\np1ZXV3/7t3/bzF577TXlvSyQvCOBz/VsbW0pi6PwUbFY1GKqEUMuSHE2DW+z2WQQjh07pvhSOBxG\nboovsFCSyRfXXDEuJSYZJS2LKooQ9QCiuXpiuQJI3CBG8ZrkqDmlXaFQSGlXTSdzCPFE/5TeI9hF\n/LDndGHWKXQL7q90XqVUKRVQnbibC1SSrFariY5Rq9UISutofNhztOS1V9N+TnfEo+Roc3NzJEd5\nOxg9c/obKKbK/k/dW5T6GhwcZM6vra2NjIwQGc5kMkqJlctl7SYtCEhKiAu+Ca9zOp0ul8tMMwU8\n2Q8xi6anp6XE5vHu4W2+h4eHh0dfwntg+wqkY80sEomI/mBOjEtCDwrjQMJ207/s6xWqgizArp/Q\njXwIkdkUkGk2mydPnoRDaEFMUt6Sma2urs7PzxOUkzxEOBwOh8Pnzp0zM3rIKvalAlKpndJblrR8\noVDgwqamphQ+yuVyLpP4k5/8pJldvHgxl8vhni4tLY2NjX372982s3/5l3/5whe+YGY33nij2oC9\n8sor0D3+4z/+4wtf+ML73/9+M/vBD35gwV5YHkC1Wp2YmID9xTDKM5OfqshYMpmUQopk0Xkcg0Fr\n0EqlwoNbXV2liJsCYTwShDZ0a65mvB6rCNmicbuRYQJxIpKI4Cc+G8QKxbv4IwFA101kDjSbTR4E\n4TIxHVS0q/MybeTHiDKuWcQHkVmkAOJWa4hA5JY8d7tdmJ+vvvrq3XffzajCDDSzSqUyMjLCkOI/\nMZIUWfOBn1hQyM+1DQ0N8aurV69ms1nEo7PZbLfbJVp46dIlyX0hgcaASC5EFRG9Xi+bzUp0Q8yX\ndDrNQKEaRTBQQYWtrS20g3kQ8swopeBJpdNpHiVhfAZKOjW45nh+m5ub0hDxePfwBmxfIV5Tt9tl\nVR0dHaVK34K32o2WWBCRUHHM6uqqEiSih4klDNmaH14jVa6wyZEjRwjETU9PQ5EaGBiQnA/xE5ki\nxZp+9KMf/fIv/7KZraysKFEnY4keHTmhgwcPYo3MjKXEzBYXF9WyOZfLVSoVZVywx5cvX15bW7vn\nnnvM7MyZM4lE4uDBg2b21a9+9fOf/7yZPfXUU9/85je5yGPHjhER+vjHP/73f//3KHFw74Qxh4eH\nubWZmZl2u82A0HRD/DqlHGj1wohZYMilxM8qozU6m82SsBwfHyfF0mg00GY0s1qtprVbgS+OLxK8\nIlSuuIZb76XThYL2JdFodGtry1VskuVjfeQIMip7gVK+9FykjWROgopNkqKFLvFPOu6aA/xKllVX\nrgaPilHraBZoZ2Cr3nrrLSXnYrEYTyqTyezs7PCwELzgdOvr60yeQqGQSCTU3qXb7UoVnkMlk8lQ\nKMR8M7P5+XlKO/Ssh4eHmZ963HqamsZ63N1uVx2Zw+EwhR8YbzE/9VohnWNBqFaVbYonb2xssCej\nJ6qmGV+IRqMqukBI0zyuE96A7Svc/DCrG6uGKoeUWNYaIelVC6yaXj+tLG7WRGn5wcFBleIqHR2L\nxRYWFrRNpmkTaxPXkM/n1ZpofHycamtKmyWABD/YzFKplNpqSGqvWq0eOHAATnAoFKJlc6fTeeWV\nV2ZmZsysXq+Pj49jgXZ3d1dWVswsEomk02mKt2699dalpSVSDseOHfu7v/s7M/vMZz7z2muvsQw1\nGg2Vf95yyy1ubxcR4nHRGo1Gr9fDskYikWw2y5fj8bg8HiWN2JtredKYa/x7vR7pEDObm5vDM+h2\nu7TS5guQ5rk2eSEuSUF+jLxte2d/YbFs5KdSYsU32YuoKY9UE10ChT6rjzPVEbtBw2URwUX9IGMq\njSURN1xVKiVKOZoFgluyproL2Qa+ySn29vbK5bLMDw4NpQtyDWW81QQOuVsRatLpNM4WrczNDCUw\nplm320UvmyHVu1YqlVQ+oZ2fPsAH4QuYf2bR5cuX3VJ07FM+n+elSCaTKu0aGhqq1+vMSTUGo0hZ\n8w31XnOI+Ah9XUPY8bgu+ByYh4eHh0dfwntg+4pEIoHDoa23mW1vb6vjn7JH0o/Y29tLJBL4K2Nj\nY8oHyAODKi26mohnCqFsb28nk0k4TrOzs+Vymb2e21xYUSkzk1zF+fPnqTKGGaymmnNzc2xCJycn\nSYwdPXpUgkBIpyurgQpDKpVS29ytra2hoSECRG+88QYyuNPT08899xzs/MuXL+dyOf5+7ty548eP\nm9nTTz999OhRdsEnTpwg49VqtS5cuAD5nkgs2TuX5z0wMEBRc6PRkHKP4nsE9NQhRckz8cco8SZ8\nVK1WW63WBz7wATMrl8ts8C9duiRtdShzvaCZpB6x2PlURygQp7CbuHNuUI7UowVxOXlCStTJNcQN\nUnpVvErKou2d6iFEjBkECXzQ5UAhRNVyqLLenKyqZi8/ESnfVabQ1BIDc3JycmFhAVep0WgoxqiA\nJ1FQprq6LtDyRtlTxK8taF9ugfI9AcCFhQX5dgjAM7UymQzzkHtXjkpcyunpad6sXC6nzK6SVbhH\nBANVjVAoFAYHB7kYPGDVrasiRfH8ZrO5tbXFnBePf3BwcGVlhXnuOzL/fPAGbF+xsLDAm4bEjpm1\nWq3NzU3pVki3UFkTwkQKZ0nORyoAvPO8EoQpFBzjm5lMplwuSyZALPmeI3K/986WV2p8zBc6nY6I\nJOl0enFxkbsgTc3FVCoV1qZ2u01hk5nV63UOS2RM4hflcplruPnmmynYSqVSw8PDrFOZTKZer7NM\nnDx58j//8z/N7MSJEwsLC1zP5cuXufe5ubn77rsPWalHHnnkjTfeYOVVxwrCg0qkS4dQ6g+wBjjv\nxMSEhIiUinfli65evXrq1Cmio4yqBX09WK9JVmkDIeMhlg3t1hRjlBGlusuCGKPbt8yCYKPoJKok\nE8edPt0KI1tgsfRHHus1BVtu4ZG7DRKFnYnH1KJAyi3MsKDYQ42elTyT0cJyczGjo6NvvvkmMptX\nrlxRqFDSGEhuuhOGU6gyYWNjI5vNMv65XI7xp5Ua82FsbGxjY0Oxd7YdqVTKrXOwQOVycHCQU2Sz\nWdUYrK2tjY2NqQ+ONgr63Gg0uFrsk6KRsViMXd3o6Chvx+joqIrGsH+Kt/OBjnfK2mIgPa4L3oDt\nK+LxOJNbEjKNRmN+fh73iP/ShlermLZmOzs7rIDmtJNw3y5zqouU0kAHj3cSE8K2MR6Psy0lv6W3\na3h4mF2hOBq7u7vlcpnTDQ8Pj42N8eVms8mmkoIYQv8rKyu9Xo9VJhaLablfXFzky+ge8d7GYjF6\ngD3//PP33nsvyaqrV6+Oj4+zjd3c3Lz33nvN7OLFi1gCM3vhhRc+9rGPmdnGxsbp06cPHTqkIeXW\nLKgAIwlEHiIWi6nVRavV0hotD1g6UhZ4YwxCu93GsbvtttuUoDp37py0WSXBTOm322XKgmotNWTZ\nc5p4ud1J5E+Pjo6qLpBxdhtlYRKu8YQgNGoxlQKvq7Sr/cpA0NySqkFuk42RGC5KkomSgJPhuowW\neH6yB0qeyanCkeLWmG8MVCwWYz/UarVcMoU5bqJsJLk6MxsbGysWi+w8MGYWlNjzZeqFmaiavY1G\nQxaXQeD2Nzc3CTCMjY3hW3P2zc1N3sTl5WWIppSBi5HLgOAC8s1qtSqWx+DgIIcqFovyI0kxsnlS\nITMSZdoLqlLN493D58A8PDw8PPoSA2Ize+wDHn30Ue3jtCVUNQ+JGbaH4ix1u13t32+66abFxcVr\nSp0oZ1HuwW1fq/SGtINJI6F7ND8/T9CDKKWU6UUIVtAplUptb2+rFm1vb09+JBttGjrzhVKptLOz\nw9a1Wq2yCy4Wi7Ozs3hjlDex36zVauS9CoXCxsaGaPe9Xg8W4m233fb6669zkXfffTeyHc1mk8Dj\nxMTERz/6UbRil5aWJIKQy+XINU5OTrZaLXUJkY7D1tYWERu6YOCvEBVkg1+tVlWDtba2dscdd+jC\n8GXVKQN/RWFD5cAs8JB6vZ5b+9UN2lG6noecPwJuak05EDT/TSaTbNsVjTSnUQviyKIsKhflzgEL\nxO9HRkaUIHT5hKokQ4TeAqF3VdG5rVUk6qFMHk6eOw4WaLXgou3s7Fy6dOmuu+7i4nFqzUmYuVVx\n8nQZMTKXGxsbqFeYIzKyu7srlSaIjgqEKqWn7B2SHPwwmUxSqrG5uakmotFotFgsKtjAlaPZwa/q\n9bpeYTffXKlU3KbPFjiXjFg6nd7c3MRlVDEojrsKYIaHh2k47vHu4UOI+wqtWYr1E+hgNSeuojiP\ntOBkJ65ZcbRGuMrcu05vWU5KkRAv0qFDh86cOcMLtrW1xYfJycmXXnqJGmEan4tIgmUtFArZbFY5\nmEajoWgPH+r1uvjWBw4cqFQqipZQSVMqld73vvexZoXD4Xw+j41cX1/nC4lEYnh4GGrGr/7qr+7s\n7LB2/PM///NnPvMZM/vJT37yX//1X3z57rvvZnCeeOKJkZERQoiMJFcuRaJWqyXBQOgGHHZ8fJwP\n7XY7n89jEorFYiaT4cJ6vR7n2t3d/bVf+zV9LpVKqu7SUxNznSFV+E5/lH2iGEhpNrXVcFkPkmFU\npe3w8LCSc+xmeBaaA5onmkXaBnFYVA1FZ1caVVRy8lvcu8trV7KQPJNCyiJ/m1OIrei3At2ktWRE\nc7kcbXROnTqlUgGXzKKRFNefnQSjl0wm6X1sTsPr0dHRtbU1IsMTExOqD7Og7s1VCyMQCkdpaGiI\nDRxRWT0UhNMYNHXn2dvbE2vfbU3OhVE6yXxQkzxKnrkdKp21geOw9Xpde0TVvXlcF3wI0cPDw8Oj\nL+E9sH2FNCxarZY4VAjVWBAVUbxL31SlLeEj9pVqRzk8PMxWzgKOwP8Um9DGtlQqNRoNdqA7OzuE\n0S5evJhIJMTzlncYiUTUL1F7SZjonE7uyMTExNLSklwT1RFvbm7yzYmJiXK5TCHzpUuXpGd6++23\nIxl13333tVotCB0DAwMLCwvvec97zGxlZYUQYiQS+dnPfsaGN5fL4Ux88Ytf/Id/+Ad8R0JYCh9J\ndV5+JGRoDY4E5judDjvxaDRaKpXEQIOd32q1isUi937p0iU1utzZ2ZGouRw7FY+b0zQLz0/+tJxL\nPXfklVXcKr1gl3rgir6LBSCBCagWetxDQ0Py7yWG5PauZPSQh+ABQZ7kjsQdJW6mULb4/Rb4H/RP\nUHhA0VFp2LszmVElfJ1KpRYXF+2dElZEF8Txwx0cHx8vFAq4LJVKRaXoajUHz55roOUpT1Yzlkis\nBHZnZ2chnYrvPjIyIrF/BJ0lDKbJgHCUOa4hjwwflAfB38Wu6gVK2RYwTfBle0FLilwud/XqVS5y\nZmZGE8bj3WMQqW+P/cG5c+fK5TJNbHmvWCASicTIyAjdmUlRuMLnpMEwTiyF0JQJ9WC9aNwMIxlS\nFvkPFggIZkNDQ9FoFBMYCoWuXr166NAhvkwUhTUoEomsrKxghNBGsoCsHAqFSHER3ULGHgs6OztL\neoBTY/NarVapVKKZxZUrV2ZnZ1UINT4+Ho1Gz5w588lPfvLkyZNnz57NZDLve9/7Dhw48JWvfOV3\nfud3zpw5c/Xq1QcffPD73//++vr6sWPHZmZmLl682Ov1qtXqxsZGtVo9fPjw9vb2wsLC6urqkSNH\nyAVig6nmSSaTlBlAEut2u+l0OhaLtdttqNXRaHR5ebkX9IBOp9O/+Iu/ODc3NzExUSwWIbCtra29\n/fbba2trmUwG2h5RplarxWG5KcJQRKuIH/J8ievygLCgQCYnFLSFJK+JrUJikTmg/A2PoNvtbm9v\nK7oID1D9dxBkqtfrRNvI7nAxoQBkWBkQDD/pKyYYz46gIuR46IhwDl0tKzJnXDkVbCpetECbgxnI\nxfd6vXq9Hg6Hb7zxRgwARlQTVU2ia7UaR+OwKhQzM+TtBwYGqtUqE35gYADdTnjt2qZwO5hVHtP0\n9DTp55GRkfX19Ww2i/Xihzs7O8lkMhaLoVnFs6BugQ+cq1gsbm1t5fN5V3KlG4CAJ5NEbyJ/qVQq\n29vb6XSaOyUzytMhvXfrrbfu/6LU1/Ae2L6i1+uJNctfWNdEoNje3ta7qhqUgUBtliy6yNl8gaSL\nW3vUDVoxKVOCmpSZtVqtaDQKP2JsbEx6TvLbarXa5OQkhHhefjOLxWJDQ0NsbA8dOrS6ugrvX91J\nYrGY6m9isdiVK1dwtqRZvLm5OTc3B7FiZmbm9ddfh8E8PT394osvmtk999xz4cIFHL5UKrW0tEQL\ntMuXL5PiOn/+/M0334yLVqlU7rzzTjO7ePHi9vY2DmWpVBoeHiZZlU6nuQVVZVmwNcbZkvFYX1+/\n8cYbWY4HBweTyaRKxfkmbgdOHkZRB8QD6Ha76+vrXAOrrXIkquJyy7xUga4q43A4rLo3VnOt1CoK\nHAw6YvNHdS5W7pPl0gIyusQD+UBSSkk7fsXz1TVIykj+Ijx7eZzuPMQ9QqdYUtRizCu1hqywEnXq\nS/fTn/6U6vJOp6MiRXFALBBWtnd2waZVtNgu6katFtJqOmNOT3MsMSGBvb29CxcuMDcikQgeWLvd\nllOL3qPqE+TgFotFwhXhcJgJubm5mUqlRGbR8GpqcVW8d6Ojo41Gg/PKsYb3wbNIp9NezPfngM+B\neXh4eHj0JbwHtq9QBw3ChhZsqFXDL26bOmKYmWiK6Nxc03x5e3tbLR4IWCnVIWVVbfZxsMQnZCdI\n3J8vE9tkkzs5OcnGlgyBqGvVahV5J4nKU2qKFwLhSvXUkuTodDp4YCj38PmDH/zgY489Zma33377\n6OgoLPk//dM/ve+++5555hkz++Y3v8neudVqnT17FuH5xx57jCv8jd/4DRjMZjYyMlKr1XDs3n77\nbXSKic+oCYiKi+PxOF+oVqvpdJohLZVKy8vLOAFiRfd6vXQ6zU6csK24bRxqYGAgn8+Lb014yoJG\no3wzEonglvH05ZHgHsHdd+uU9eiVmJTIBaorehYu9VxjzpQwRwWY8Jo6IejgUqMnHK2QtasdLM9P\nNdrNZhPHul6vJxIJVX+rLFpaYiQ7lT0Nh8PqmEO4bHFxESEYCyQqxEhknJnnKgOIxWIqzVbeUb5L\nKpXKZDKo/cobm5+fRxieI0xMTLh+rZllMhlR56l2Z6jVz6FarU5NTal+Wf665Jg7nY64nVLiJyGq\ntGI0GlX1tyaDKp3z+bwvZP454A3YvkIVQtFolCgc6SvJuyn+4K5ie0ETls3NzaGhIb1dEoJqt9ss\nhTs7O6JgaBUjQsiLVCwWT548SeHU5OSkgpB7QW9ljKXEPjgXLHBFijqdDl/e3NzsBo05iKuY2csv\nv3zo0CFW/MHBQVqojI+PS66bcA2nWFtb44cvvvjigQMHKBJ64oknvvzlL//t3/6tmR09epRv0rf3\nRz/6kZn90R/90enTp83s+eefn5+fZz1KJBJqIjU/P89Q1+v1UqmECaRAR92k6IqSzWZfffVVaSjI\n/CAUZEFcV4aHfBXjr1VeLG0WMlVT6UFIsp14lxpxKUKlaK2ZDQ8PY5LHxsbctJY4MkTzLODc2zvr\nz9DyYEz0K3PknaS2ztWyw2Bddo+m6arDSm7R7Qgj6+UGIUX/4dnJ5Gv+q2UJJ5XJJ4dkQbctRkwX\nTDNrtZhRw7Bw0PSZh8LWhAwo5yXDZEF/bdWfQKbAeLP9qtfrA0H7ZrFsOBejl81mRf8hx8Y3y+Wy\nCgcZUs7lmn8edzKZZBiz2Wyj0aApD5Uq5nGd8AZsXxEOh1mbstksrxnvpypp1CBDyxn+kxZQks8W\n0BfNrNFokHa2oD6alyoWi6kBil7aZrMpC4dqjplRB/rjH//YzG699dahoSFWn+3tbdGxRJFi033x\n4kUzm5mZIZ02ODi4urrKekEaXIXVGI9er9doNHhFNzY2ZmdnMc/f/e53H374YTP7y7/8y89//vNL\nS0sMzvLyMhZ3dnb22WefNbNPf/rTf/3Xf/3ggw+a2YsvvvjFL37RzE6fPl0oFGhUtrS0BHnBHBmn\nsbGxfD6vRF0oFOKCLehDtrGxkUqlVFqUyWRcWS8LEiR8HgjEc7llVlXUXd08jSqO1Yes3W4zkjwp\nFVGJTCiLvrOzs7W1RbJEesEQOrgjBDNZeSkwt6BAUKw8uWv6FdKCUmlSBy+JkEHtEVWSFFcikZD3\nwymUl5LnJ7UqcmBqosaQ0i1FJYm6yHg8DguRWcrp4vG4utjE43FWefgySivKLMnCYfZ0ayqoVxaZ\nQWDEcJuYJNlsVgY7lUrxWnFMLlJeOEKgfK5UKrxK1H5x2Gq1ms1mVSfOH5lvynarXl5X3mw2pSyM\nF2ge1wmfA/Pw8PDw6Et4D2xfUSqV2CoqAAWBW2F9MYDFoTdHv2Nvb6/dbhNvVCUTMg1sD4nMqGBI\np9gNWhVHIhFJFVSrVS6mXq/ncjlkwsvl8vT0tESq2EuOjo4uLS1BG+t2u4cPH4Y6ODMzo8TM2NgY\nG1uilLhouVyOU5w7d+5jH/vYP/3TP5lZOp3OZrN84ROf+MQ//uM/mtmpU6e+973vEUIMh8NvvPEG\nPMMnnnjiz/7sz8zs8ccf//CHP4x7tLa29p3vfMfMjh492m63l5eXzWx8fHx7exufJpFISG1EOiZk\nUIgWQprnYhqNBrvvZDKpXp0K05GDEfNT6hiSSycZxojhK0iZXkKuCka5/UfUmINYkzjZ6q8dj8f5\nI64514A0u7TtcYmQOVZVmTlZMQnaqr29pKrcTiu4PpqcHF/tLi1I2EhKStFIBbpFtefLYiHKZzVH\n/z4SiRDCfc973rO8vMyI0T+BmSylLuq65J660iEMYzQaJWpqQWEiXqCilHAjOQXiW/JKGRBaYjJh\nuFo5oPyKShUcu93dXWInhUKh2+3yR8ir0ldjeAcHB/VMOSOtGxR03drakva0WI4e1wVvwPYVahxV\nKpWkZ6P4nsjT5nTKMDN1rKCKllCDa+Gi0ajamVerVbWRVahKAnH33Xffyjo5WQcAAA0NSURBVMqK\nskp8SKfTpVJJVOZyucwpDh48qG5GR44cYeFYXV295ZZbtF5zzVwYX5ienq7VatLF0cKhVmftdltN\nmxYWFjBaGxsboVCImuWDBw8eP378hRdeMLP5+fl///d/N7OHHnrohRdeIBUvFkM6ne50Okraq4Y0\nFArBhifvwtVmMhntGyjLNbO9vb3d3V3VNoiQPRh0UzMn+IMGoHL1ioy5+SdxChSEJFSo4XUXfRHf\nlU4j2Ch7KQtHDJZbVoMCmQdo+q5BUkiTI1O0q8iV+CkyUcwxHVahYx3HHKOuvdGe0yKckKnijaoG\nETkeg8Ed5XI5kqN33nlnoVAQBUkyWio8UN0IhxUNKpVKocyE3WULAstJtlOSnorjkajTVkBJsmw2\ni7HhvePZSRQqnU6LXRIOh9WRWZYePUbVzrtqpSoJ1/uoSCxNBvgCrXzM4zrhQ4geHh4eHn0J74Ht\nK7Svz+Vy+AorKyvJZBLXhP+VxJQkulEzMrPZ2Vkz44eq0wyFQq1WS2Lnotdrp99sNuPxOBHCq1ev\nasss6nYoFBKdOpPJ7OzswLwolUp8k8gY22T8mJMnT5rZv/7rvz7wwANmBgWLuOLIyMj8/Dy7YxVQ\nx2KxQqFw6tQpM/v2t7997ty5w4cPm1k2mz1//ryZhcNh9S1kL8/u+J577nnkkUfM7IYbbjh69Ch+\nW7fbffnllxnGBx54gBHb29vTllmMuFgs1uv1II9UKhWae5lT5V2tViORiEh9amzokhe63a5ibuIv\nSCMYRWMpVA0PD4tQwPDim7pcPsX6/id9nAgwp9vZ2VEsV7G1SqWiueFeg+ou8DAkd8Rt1uv1VCqF\nIwKXj5/TCdMcCr69s9m3W1wsNqycWooK+AJUvV6gNC1NXrEf0bnAz3AVqtT0ORQK4UbzBaY0T0fl\nwCL+UUdsQfCTz9VqNRqNqi2qGIAiU/D4FG8XHbRQKIgwKeGPUqlEj9ZqtapxkBpcrVZTC1A3bKv3\na3d3V63d8MLlmanZN9za/7/lwuP/CG/A9hWxWIwUlCIhuVxOS0ClUtHikkgkFMKSpsPGxsb09LQq\nyRRaEZ8NOQDlYFgjoOy/9tprZjYyMpLJZFjdJLH40ksv3XHHHXqRQqEQWaW5uTkWDqhxyrtsb28T\nIYxEIuQDsIsQ/B544AGF1FKplOJaWt1arVY2m8U+VatVbOH6+vra2hrm8Etf+tJv/uZvwsT7wQ9+\n8Oijj5rZ6dOn/+Iv/uKHP/yhmb3//e/nAj7wgQ987WtfIzmXTCYvX76MrVLNEzFD4kvmKEGooaja\nlFhQUcSoRqNRllrWXxktMeb1KwJr3CbJoaF39qsk98bRENSQngUHIa+mw7p8esW+pO6IyRkI2qwo\nzdPpdBQIVWhRSRp1SLGgHotR0qHcWJ9MDvelW1OJoSThaeapCoFe0JSn3W5LBUO0WGJ6yj/xKwTG\nSIiSZ2JiWND8Rapp3K+M92DQIcVNMTL+zJxGoyHOJFKEFoQTVQygqJ2rJV8ul6G2b21tkYzEcpN/\nnZub44/pdHptbY0dFcxSNWHhHc/n87VajYuktQrXUKvVQkFLinw+z1ZPBSce1wVvwPYVKqBJJpPs\nwljveNsHBwfV+Fi8gF6vp2T+5ubme9/7XpwMhdpDoZA22nhgnAtRODNrtVoTExMsBysrK1rEkZUy\nM2SfeC0TicTi4iLu2ttvv80OlGoVSo/z+fylS5do4nX48OHnn3/ezKamprQcU9QsBSNe+2azOTs7\n+93vftfMPvWpTz366KOkrA8ePHjhwgUzO3LkSCaTefrpp83soYce+sY3vkHP5W9961vIOD3wwAPf\n+MY3fuEXfsHM3nrrLZa55557bmpq6syZM2b2kY985NixY2jFWqCx5OY8SOCLQS6Wh1jaMOPF3pbc\nn5S6sElajvkjxcKuDK7cIz132QYqzaV+q/27VARR2tXc4OcYEtVXyF6OjIzgr9AqhV8xMa7ha1Bf\nKIdDnjdHMzOkEcU719IPf0S3II6MitIs8Dz4rPowvoATqVO4iVu2GsvLy/Pz8xiMjY0NTTOXqBKP\nx3GyqW+TndA+wO03pL0CN26BEWVAotEoapl69fhALb8FolBYIDHy8/l8tVqlTbnq0xuNhvxXqja1\n21ApW7PZZJ5r/vDuc+XFYlF7FJXbe1wXfA7Mw8PDw6Mv4T2wfYXYd66PovQDip+ibGnH3Q2aL5N7\nYAOoWl1XXhZ3gSNLy2N0dHR5eZlIHfrfbHgpajazbDZL00WuZ2pqCl6fxA7okMLRVldXVTc9NjbG\n1hhpdhw78hy4CM1mk6a3hUIhEokQLalUKsePH6d35ac//WnapqytrVWrVajVN91006lTpyAf3nXX\nXRQy33PPPUovybkZHR09fvw4A/X1r3/99ttvpxP06uqq8i4wxCxgf1FOMD4+zpYc10SMxHa7LWWK\ngaDZtBhxBKDwaxVTNccTQrJLnlkvEPIvl8si/uloYqCRGHOPcE0ZMq6Pskq7u7uMgwWFtyTqpGdh\ngf8hZ0thZ3OUOJg5ckdQbOEJUm4fjUYVNsTRlKOjnsKa28p+MTicQmXOFkRKlShiQBYXFz/0oQ+9\n+uqrFtBlYeeqKoAAg1J6CjAo/4frw1Mzh3+vbCVCaAzUwMCAhhrlNq42FospCqKA5NbWFm4ZfF3V\nKROR5iecAgKnyuHxugqFAk4b03tkZESPlTdlfHy8XC4r4OwbWv4c8AZsX5HP50kv6a1GOZDlIJVK\nVatVgjBuY2Ul1cXUMCcNThcxWTj1fddy0263FUIZGhqan5/HPtE9xAIZIQIvExMTq6urvIFbW1ss\nZFNTU5VKhRes0+k0m00ustvt8s3Nzc0LFy4Q6yPlhlmqVCqsBchyoyW/sLDwS7/0S6w43/rWt6DR\n33DDDT/+8Y+RWGy32/V6HdnDK1euEMZ88803s9nsW2+9xTCysly5cqVer7Mc3HLLLaurqyxJyq7X\n6/V0Oi1loHq9rn2DgmASX0cqnltThKpWq6XTaYaUkeTBqQM1USDtKrTzUFSw1+u5eR2lfxSdQ61K\nlATXNLqPVZ9hJZizWOtGLNCzV2UVH6DmK+Knrmm9oKcBtAsFx1QtJ36Qclc8d6klqZqKmjOxflz+\nva5BqlEqYxgaGlpZWeEa2BjxsJLJpErN6vU6c48oKA9IW8Butys1S4KfMkW8KaTN3Jbl6pDAh16v\nh+3haHRpMScxBsWJaabuB9BJJGel7EA2m9UmaWdnh8/ZbPZ/KlRZ0ErCnLJOj+uCN2D7iuPHj6tr\nButCtVrNZDLKeBeLRZJGYnCINWBBdxJWOim5iSxgQdJCFDK9tJ1Ohzdtd3e33W5jdSYnJzny2NhY\ntVplW3rjjTdS9WVmP/zhDxEqjEQiqnkaHR1V/8B8Po8g0MTExPe///3f/d3f5cvRaPSmm24ys0uX\nLkkjOJVKkcFaWVnZ29u79957zez06dNcJIQRbNXRo0dFQjtx4gR+W6lUmpiYYGU/dOgQb/vc3Nza\n2tqv//qvm9njjz/+8MMPf+lLXzKzP/iDP4ASmcvlUB82s3g8jn6dOc4NDhODA1lG66aoLrVaTd6Y\n8hwCPoqGWuRPt4UK1Wb2TspiKBRS/ZMuEqUolQOLfVetVllkEeXTIxYTtdlsai8vsSj5T259rmiQ\n7E5khjXmythxLzJFIh+qR2ij0ZCkFo2+RKZQxxYdgbF1DSrzf3BwkMcaj8dzuZycfi33mm+HDx8u\nFApMEo0zKWR5XfRvs3dyaC0QlSbVxN8nJyf51YEDB2j8ZgFlkY2dOWLKExMTvG5UvptZs9nMZDIu\nj5QXMxwOs1FrNpvb29swShKJRKlU4vPOzg5H6Ha72rzGYrGf/OQn5nGd8DkwDw8PD4++xIB2+h4e\nHh4eHn0E74F5eHh4ePQlvAHz8PDw8OhLeAPm4eHh4dGX8AbMw8PDw6Mv4Q2Yh4eHh0dfwhswDw8P\nD4++hDdgHh4eHh59CW/APDw8PDz6Et6AeXh4eHj0JbwB8/Dw8PDoS3gD5uHh4eHRl/AGzMPDw8Oj\nL+ENmIeHh4dHX8IbMA8PDw+PvoQ3YB4eHh4efQlvwDw8PDw8+hLegHl4eHh49CW8AfPw8PDw6Et4\nA+bh4eHh0ZfwBszDw8PDoy/hDZiHh4eHR1/CGzAPDw8Pj76EN2AeHh4eHn0Jb8A8PDw8PPoS3oB5\neHh4ePQlvAHz8PDw8OhLeAPm4eHh4dGX8AbMw8PDw6Mv4Q2Yh4eHh0dfwhswDw8PD4++hDdgHh4e\nHh59CW/APDw8PDz6Et6AeXh4eHj0JbwB8/Dw8PDoS3gD5uHh4eHRl/AGzMPDw8OjL+ENmIeHh4dH\nX8IbMA8PDw+PvoQ3YB4eHh4efQlvwDw8PDw8+hLegHl4eHh49CW8AfPw8PDw6Et4A+bh4eHh0Zfw\nBszDw8PDoy/hDZiHh4eHR1/CGzAPDw8Pj77E/wL8pe4z+IE+3gAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; \n", "imageplot(delta(g));"]}, {"source": ["Check that the relation $ \\norm{\\nabla f} = - \\dotp{\\Delta f}{f}. $"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "text": ["Should be 0: 000\n"], "output_type": "display_data"}], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["dotp = @(a,b)sum(a(:).*b(:));\n", "fprintf('Should be 0: %.3i\\n', dotp(grad(g), grad(g)) + dotp(delta(g),g) );"]}, {"source": ["Newton Method in Image Processing\n", "---------------------------------\n", "We consider now the problem of denoising an image $y \\in \\RR^N$ where\n", "$N = n \\times n$ is the number of pixels ($n$ being the number of rows/columns in the image).\n", "\n", "\n", "Add noise to the clean image, to simulate a noisy image $y$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["sigma = .1;\n", "y = g + randn(n)*sigma;"]}, {"source": ["Display the noisy image $y$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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bOxgMYmpQ9RxLXyaT3bp1C6XYAoEACtaFw2G73Q46ESfGwN6MjIzgJM1HH33k\ncDhwQKqyspIpeO9wOKCf+vr6kChPRLu7u+FwGOSYy+Viku8FAgGYovfff99msyG5Q6/Xg2ebmZlp\nb2/Hl5eXl+12O8Qih8NBpsn8/HwgEIDwyuVybrcb21WpVDJZ0X9YJvzzn/88uC+mljzyAtALUHlo\nzJ/8yZ8gONTd3e3z+fCrTCYD6Ybie3jX7u5uT08PRD/0HxGJRCK3241JEQqFiUQCDK1YLAZ997nP\nfW50dBSnrVFfCrH6S5cuQasdOHBgamoKCmN3dzeVSkHA1dbWQpJOTk7KZDK0QafT6XQ6TH0mk8Hp\npcbGRoFAgIgaj8dbX1/H+F+5cgU2SnV1tdvtxom69fV1DocDTTMxMQGddO/ePZ1Oh2nV6XQqlQrj\nIJFIoAJh2cDacLvdENwul+uxxx4DZbe3t4fy6kRks9mYamRyuRy/unv37tmzZ6H1Ozo6Ll++TERy\nudxqteIVfX19sVgM3URSCRE1NDQUCgWsnA8//DCbzTIp7LBgOBxOOBzGmm9sbLxx4wZzuotZ/0Kh\nEOutUCjYbDYmOAqF8dWvfvXSpUuIh2m12nv37mF4y8rK8IpisZhKpf7+7/+eiA4ePAjbC+sfX+jq\n6qqtrcXCwPBiyWWzWaheoVC4urqKxalSqdAAlM2ElXPjxg2NRoNfyWQypoCAyWSC2rt48SLDWkul\nUnCJINUxIIFAIJ/PQx2y+PRgKUQWLFiwYPFAgvXA7iv29/f/+Z//GX+g2gVqFsCW7+npCQQC8Egm\nJyfhEoVCoVwuB9NsZWXlySefhMHb0NCAAjyw+2D1g+uD8VtbW4uLkQwGw8rKCqizUqnEHPj/4IMP\nwBRZrValUsmUNUIhDCJqamqC9X3jxo3Kykq4a42NjalUConIv/3tb2E/Go1GJjP+ypUrFRUVcD76\n+/tRhhguBQgiqVQqFAoRYB8eHgYzZrVar1y58thjjxFRMpnc2NiAP7e+vg7Krry83OPxIG5fKpVg\n5C4sLOzt7aHWkUaj0el0oPLEYjESLDkcztzcHGOSCwQC0Dtra2v4wujoaDqdRjJIc3PznTt34MdI\nJBJMREdHB87zEpFer7darQjRe71esJRbW1tMhSRkvqGzSI0hokwms7W1BccinU7L5XJY4h0dHcyF\nYR9//DGOE6TT6cXFRfB+29vbGJxCobC6uooPLRZLIpGAJ4S8CXTN5XLhFSdOnNjc3EQjxWIxHKxT\np045HA50eXNz8+mnnyaiy5cvo84IEVVXV4fD4SeffJKIXo3qT0gAACAASURBVH/9dUyrUChsampi\nKIFUKoU1oNfrsergfmFpGQwGVMUlonv37qFrDz30EFMJfn5+XqlUwsk7e/YsRuz27dtHjhzBMrt1\n69bQ0NDHH3+MFYVL2i5fvlxbWwuGMBAIMLXemaIe6+vr58+fh3u6urpqNBqxDtfW1uBgtbW1Xbly\n5aWXXiIim822t7eHRq6vryPR9MKFC8vLy8jRmJycPHXqFHyscDiMbiYSiVAohG5Go1GsvUQisb6+\nji+o1eq2tjb06OOPP0ZJjkAgMDExgUSeeDyu1WqZXCHmMrzLly+DJnE4HGq1GofoWXx6sArsvuKt\nt96C8MpmsyDoUa8BcaBisdjT04MAye7uLnIIBQLBlStXsCXkcvn169dBxGWzWSbeg1rjRJRMJpGX\nTH9QNttoNG5vb2O3Y2ci+TCRSOC9X/ziF1dWVpi4y507d6AneDwegmSFQkGlUoEMOX/+fDqdxrbs\n6OjAh0hkhxqmT8p7E5FIJMJuR6F3EF8oLAIRXCgUwI76/X6bzQaJ43a7S6USMvQkEgm0qUwmwxkd\nImKCYS6XS6FQQGDhNAJTZITJ2ywUChgonU43OjoKMVQoFCB6qqqq5ubm8OWNjY3+/n4IFx6PB5bS\nZDLxeDz0N5VKVVRUQPUSEZKhv/WtbxERaqngvhVE8g4ePIhUwLm5udbWVnRzY2NDrVZDbra1teEL\nOp0uk8kwd3zMzMyguqNAIMBhqe7u7vfffx+perlcjsPhMPES7F8w0tC4qIHJFBzB1yorK6PRKOQj\nUzYsEolsb2+jlkcymRwbG0MWXHt7OzQKsg3Rcp1Oh8tKMNHQT/39/Tdv3sQhxWw2G41Gmbs6MUGB\nQKC6uhqSvVQq7e/vQy0tLy8jYsfhcOLxOChcItre3oYpduDAASYlT6VSMcVZxsfHsYo8Hg8etbOz\no1Qqweui8D9+KBQKcY3LwsKCSCQC+fzWW2+l02lsEHCteJfL5UIkFfYfzqVB3xORVCplqokWCgWY\nODKZbHZ2Fibg6dOnL1++DNaaOQAwNjY2NTWFPWgymVZXV7Gi/H4/duvGxkZraysMR61Wy+fzGWab\nxacEm8RxX+Hz+SA3c7kcYtQWiyWZTCJitLCwEA6H4bv09fXhNHEikeDxeJCwNTU1586dQ3ZDPp/H\nPkGmMnOfcqlUwvaoqanBRbcSiWR6ehoHdD788EOz2YxNVVdXh8jN9evXm5qaIPJqampKpRIShYPB\nILY9j8dDHjZ6gUu2iKi/vx/6ye12owFEpNPpKioqEPpaWlpCBvOJEyfsdjsCM4899tji4iLE4uzs\nLDRKXV1dMBiEZKmtrW1ra0OiQTgcRiNzuZxCoYAnuri4CKWFhkEr49IsSN5QKAQZffPmzeeeew6j\n53a7Dx8+jFHt7+9nyvkolUqonP7+/uvXrz/xxBNE9Nprr0FObWxsMGqgWCyq1WoM1MLCAnI0stns\n/Pw8fLjd3d3+/n58IZlMQv0PDg76/X58Abr5oYceIiK73c6U2uPxeDgIodPpLBYLBkooFMJ3vHTp\nEnOUIp/PV1RUIPzzu9/9Dp5HIBDIZDJQHlVVVXfv3kVaeTAYhIG/s7PDHFYbHx9HiKtYLMrlcmi1\nxsbGUCiE2cRRMyIym80OhwOWlkQiefPNNzGtwWAQH169etVkMmGg8FI08vjx4//0T/+ExzIXp+Xz\nebFYjEKFZ8+eRVjr0Ucfff3112E8bW9vV1dXI6Jpt9thG3V2djY3N+MQCA4bINwVj8exEXQ6XSwW\nw8Kora3l8XjwjKurqzEROOMFjVtdXT0+Pg7jSa1Wwx3f2NgYHh7+3Oc+R0Sjo6Nf+tKXYETKZDLY\nQ6i+hrnw+XzgCSKRiEqlgrlz8eJFrVbL3A+HozLz8/MikQiDs7S01NHRgYWkUqnwKJ1Ot7+/jzEX\ni8WwJln8UWBjYCxYsGDB4oEE7+/+7u/+p9vwfxE8Hk86nS4Wi0ePHp2fny8Wi6dPn8bR/WQy6XQ6\n5XJ5PB5H0QSlUqnVakul0qOPPhqNRjkczu7ubjab3dnZyWazIpGoVCrhegic59/b20O4BeXP9Xq9\nUqk0m835fL6+vh6nJgcHB1GPSq1WSyQSVOj48pe/PDU1VVFRwbDzwWAwHA5HIpH6+nqLxcLn83d2\ndvr7+ysqKubm5ra2tmw2m9ls9vl8FotFLBY7nU6tVru9vR2NRlGPFR7S6OioSCSC6yaTyVwuF8ox\nINFLIBDk83k+n49zuG63u6mpSafT2e32cDjM4/E4HE4ul/N6vYFAQKfTwSMMh8NdXV1LS0vRaBSs\nIwxb1JrKZrPFYtFqta6srMAvyefzWq1WKBS2tbUpFIpwOKxUKpGQzeFwpFLp/v4+LhZZWVmpq6ub\nnp7e3NwsLy/ncrk8Hm97e/u5557zer1isdjj8UQiEdzTAWMf0+r3+6PRaDKZDAaDKysrGo0mnU5r\nNJq9vT1kDObz+e3tbbfbffv27aeffhpHDvBMDoeTTqcVCoVcLlepVNlsNp1OK5VKgUAgFosReTKZ\nTH6/v6WlRa/Xo5AEokocDicYDOJ+lrGxMb1en8vlwO+VSqVMJqNSqbxer9/vT6VSbrebx+NFo1E+\nn5/JZNLpNOpoKBQKgUAwOTlZVlbG4/EEAkE2m8Wdpbu7uzs7O3C2ZDKZyWSy2+3MdTDZbNZgMESj\n0ZaWFplM5vP5jh07plAoysvLr1271tnZabPZBAKBQCCoqqoymUwSiQQRzVKpFIvFMCnZbFYgECB4\nWSwWb968ibXq8Xja29urqqq4XO7Ozo5Go0FhYr1eH4/Ho9Ho4cOHcX2rVCq9evUqUnNFIhFqwGez\nWXC/fD4/n887nc4jR47U1NQolcpgMJjL5dC7cDjsdrtFIlFZWdnq6urOzo7ZbC4UCn19fQcOHFAq\nle3t7dXV1alUKhKJFIvFQqHQ2dk5MzODs89tbW3pdBpHmLu7u0ulkkQicbvdU1NTyJ6NxWKoc7+9\nvY0MTJlMtra2Fg6HQ6EQWojHcrlck8n0ta997X9GMD2wYCnE+wq32w1qa3h4GBkNSqVyeXkZ8Q/w\nePh8e3sb5EM+n8d1XERks9k2NjYQ6lAqlVAMkPVgim7cuKFWqxHiKhQKTNp0U1MTmBlIRvA8HA4H\nJZR+8IMfQHDjFdjPRATpg2/u7Owg/7iioiIQCIAca2trA5eoUqkqKipACuVyOYlEggTxEydOICBh\nNptR75yI0uk0l8tl7knCK5qamqAIiUihUFgsFoS+mMNSKysrBoMBZfeWl5fBZQUCgYWFBYQ6YrEY\nozjfe+89xBqfeeaZTCYDItTr9ZpMJhyzk0gkuLIknU4zoZ2qqiqRSASuqVQqIW1aJpO99NJLzHUe\nbW1tiGCpVCpQWCaTqbq6Gn9zOByj0YhYCHOn88zMTEtLC0bsmWeeSSaTSOQpLy8Hl+hwOPh8PmZT\nLBan02lkXgwNDWF45XJ5LpdjomiFQgEzaDKZEGq6e/euQqHA8KJUBMJ+bW1tiN6ZTKb19XVwrTab\nDf9aKpV6enpQ8EWn0zU3N+O0QCaTwZi3tbUxFarsdrtOp0P8VSgUYmnl8/nx8XHwmQcOHPjP//xP\nxEGZUodqtToejyMgWltbu7m5ifWP6k1EtLS0JJPJQL4lk8nHHnsMJhSTchIKhXw+H/rb2Nhot9tB\nb66uruKbs7Oz7e3tYAXr6uqYNKhIJIL+Go1G7A4i4vF4x48fR54Il8tF13w+3+DgICjc6elptVqN\ne6XPnz+PICXUDEJu8/Pz4DBHRkZCoRBWb0NDw7179/DlYrGIqSwWi+l0Gkw4fXJTAX3CEqOPTMnH\niooKdIfFHwU2ieO+4mc/+xkkLJO7lc1mJRIJYhIikWh4eBiBimQyiVsbVlZWxsfHkY22vb2dz+dx\n/MvpdCJylsvlnE4nRBI8M2xLq9WKijg4BovNrNFogsEg5FRPTw9iTjhiDGWGCDPsWdj+RHTz5k1Y\nvkRUV1eHCwCJ6Pr16wh9GQyG+fl5RHQCgcDBgwfRBi6XC20ql8u1Wi0CFc3NzalUCrlkHR0duOei\nt7d3d3cXUZz+/n5GR+7u7j788MNEdPv2bb1ej0D68vIyBsThcDClg/BAfD4+Pg7lEYvFYrEYujM5\nOcnlcpHbef36deSDSKVS1POlTy5/gQhuamqCVuPz+Wq1GgK0srLy5s2bGBPm4tCxsbF79+49//zz\n+HB8fByfw9XDpKytrSElB0mPCKKsrKzALvH7/VwuF/rJZDKlUinoyObmZiwMhUKRzWYRI7FarZWV\nlehsW1sbQowmk8lsNuNX1dXVXq8XFW9XVlbwzc7Ozvfffx8qgbk0taurCzecYYJmZ2cR1cvn80ik\nfOWVV3Q6HcZcJpMNDAxgTBQKBY574+gShjqRSBgMBphixWIRdgAcF2gXBGjRBpfLhWHc39/XaDTM\nDDI1lM1mM1PHEomXWL17e3tMoUjkqXq9XoPBgLCuSqX68pe/jOt1DAYDVB0Rzc3NIckwFAolEgnE\nxn7zm99geOfn52tqaqBQYSvg80gkgu4YjUaz2QyTCIFDDMKlS5ewSRcXF5ubm3/0ox/RH9xTiouH\nsJwKhYJAIMBI7u3tQaFGIpHa2lokjMjlcqyT/7MAYfH/ABsDY8GCBQsWDyRYD+y+YnR0FMyVTqcD\nI/HP//zPx44dYyxx5kLFWCwG8u3xxx9nDmwZDIbq6moc3BEIBPBRjh07xhyWSqfThUIBjFlfXx88\nsHPnzr322mtgSLq7uz0eDxyvUCiEQroLCwv5fB4MIa7qwOvEYjFs1VQqxeFwYKrz+Xy5XM7cPIn4\nE25Mhw8nlUqZ2vYVFRWoqT8wMMDcPX/s2LGFhQU8bWtrC5lgra2tqVQKJCQRyWQy8DACgQA2rFgs\nlkgkyL0uFosYHFzfjjUsEAgikQi8kL6+PkSJ7t27V19fj4aJxeK2tjYMtUKhQMN0Oh0MaiLCJ/jf\n7u5uMEJer5cxz+/evWs2m/E6o9EIB8toNM7OzsK4bm9vf/nll1H1uFQqIQv07Nmze3t7oI8uXLgw\nPj4OR7O9vR1jbrPZMpkM+pvJZEKhEDykbDYLdq5QKDgcDmRjLi8v+/1+5H+bzWb4MZcvX66srATP\nubCwcObMGbhKxWIRbGRDQwNzHWUkEmFuZpmYmIB7tLGx8fWvf/2DDz4goo6ODvwcvgKGtLW1NRKJ\nYLI0Gg1TcrdUKmFpzc3NfeMb38A6xNQQkclkeumll+CeplKp69evI3W2q6sLryiVSouLi8x9NxqN\nBn7VysoK1l5DQ4PX62Xqx2OJ0h8cI3nkkUfm5+exrVKp1Le//W20YX19HVwfOo41PzMz09vbC3Z6\neXkZVMTi4uI3v/lN5mjdyMgIfGiHwwFWFq/GkhsaGoKHp9fr29racJTCarX+6Ec/wtJi6mKHw2Hm\nhlVE0dCeYDDIbB8+n4+ura+vt7a2gudn8enBKrD7ipGREUQ1isUiGBKn0xkIBLCB6+vrlUolmIqd\nnR2QLQqFIp/Pg1fp7u4eHx8HOZPJZPCozs7Ozc1NiN27d++2t7dD2vp8PiiMv/iLv7h9+zaOFv3k\nJz9h6iKur69jf2YymcbGRoihSCRy+vRp/C0SifCKVCqlUqmw6wKBwNDQELiOnZ0dpqzi8vIyU8KK\nOdbDFN4GmQOJc+XKlYaGBojmRCIBqRoKhebm5pDrr9frcdEXEUmlUmSK+3y+jo4OBMmy2Sy2/f7+\nvlwuZ64R2draYg6ZQh6Vl5drtVp0x2634yoyIjIYDOCUdnZ2Njc30ZhSqWQ2m3Hy+nOf+xzGWSqV\njo+Pgx1dWFiIx+Noj9/vB/kzODj4zjvv4KAesidAZ+3u7oLjdbvdoVAIwhc3lUA0Y2SIyGw2r62t\ngbWLx+MTExPQ7hwOByJPp9PNzc1hkVgslpWVFZy1sNls0JFyuZypFOVyuZioEo/HwwYXCoUymQwl\nLg8ePIilxeVy19bWmJirSqVCgNDpdGIi4vF4W1sbRH86nWZUIFOlSafTXb16FeI+EonYbDb0fWtr\nCzMei8UQZSQiPp9vtVrB1jJXyeC2AajD5uZmJHcQUWtrK4Y3lUp1d3dDad29e3doaAhrAOeIiait\nrW1ychJGw4cfflhZWfnlL38Z6wHrzWazIU2GiMbHx3t6evDq7e3t//iP/8B7PR4PuG6ZTCaTyRC0\nc7lcCAYXCgXmjGM2m8Uas1gst2/fxqR8+OGHqVQKsxYOh6GbkSX/+c9/Hu9dWVlBgdCf//znzIkU\nq9WKVzgcDpVKhXFg8enBUogsWLBgweKBBOuB3Vfcvn0bjkVFRQXcAlwgiaCxXq8fHx9Hot3Fixdh\nSF68ePHw4cPwwORy+cLCAtiq8vJy5DIFg8FMJoOntbe3/+IXvwBjs7a2hgC+XC7v7e1FqYjx8fFC\noQAizmazgfQYHR09ceIECLHW1ta33noLT0YqP31S5wYGr1qtlslk+GE4HEZ+RC6XS6fTYOqQWIhM\nk93dXXyIqqbwJ+RyOUMVVlVVgWPZ399nLgyrq6vzer0w/G02G/xIgUDg9XqRHdfY2Aij/tatW6iD\nhccGAgE4Xnq9Hn2srq5GpQYiCgQCBw4c+NWvfoXxhxsqFArX19dhnpeVlV27dg2JDD6fD6eb19fX\nTSYTvAGJRMLkcPb29iKrQiKRLCwswHeRSqWnTp36X//rfxHRc889B18hmUx2d3fDbH/11Vf7+/vx\nNJFIhMSNvb09uHFElMlkkskkrPJDhw4hh/DQoUNutxuONapGYT04HA60Fu4I3OXBwcF4PI5TwF1d\nXVgYPT09r7zyCqYVBY6x9nQ6HcZ8d3dXp9PBZUylUsx1YoVCAe6aVqv1er3whDQaDehrrVbL4XDg\nqup0Op/Px5QpQWsrKiomJiYw/kqlMhaLgfNkKqFEo9G1tTV8aDQaKysrcdJcIpHgUXt7e2fPnoXv\nePToUYZ8tlqtWN7FYlGv16PBHo9HLpeDax0aGgIb7/F4hoaGmLryCoWCubvyt7/9LYYxl8thJV+9\nelUsFqM9BoMBjr7b7a6trYVPyeFwkKP41FNPTU5OYtbACTNAriaHw7Hb7cjysNvtVqsVi3Nvbw8e\nmNFoxDRhJJkqWSw+PVgFdl9x6dIlZKurVCpw/RsbG8w1jDU1NdlslkmIBxGBqBW+gH2CEJfVasXu\nikQiRqMRBP3AwIBQKERkBcdu6JN6Tgh7DA8Pc7lcJmCGnL1r166dPn0aT9vZ2TGZTBDuDF2ZTqcD\ngQB0RqlUQq4jEVVXV4Ns+fjjj5mcxvLy8lAoBNmNmzDRSJPJBMZSq9Xu7e1BFK6srOC9EOXQVQqF\n4vbt23jywMAAaKuLFy8yN7hLpVJwaMlkks/nQ5hyuVyLxQISxmw2o4WdnZ3M9Y+lUumtt95CFiJz\nq6dOpxOJRBiosrKyqqoq8EuVlZXglCorK202G6pK9vb23r59G2miPp+PuZFZo9FgsqDaQQIzYa3a\n2tp8Po8Am1AobG5uhjBdWVnBIBSLxaqqKgivmpqa2dlZaB2lUonihJOTk6urq7g6GReRQOPevHkT\n8pHH47W0tKAXVVVV2Wz24sWLRPTFL37xxz/+MRqj1+tR8ymVSkE3xOPxUCiEQwjr6+tTU1MM38tU\nAvP5fJjWxx9/fGFhAUnwIpEIHOObb75psVhA4fr9/lOnTmGZZbNZRM5w6TD4N6VSub+/DyGOOvdE\npNfrxWIx3ruwsBCJRDAOg4ODIAANBsPExAQ2BaJHYO2QLohp9fv9OFaxu7s7PT2NJ//1X/81Np3B\nYHA4HCDAtVotlhMRFQqFf/mXf8EeNBgMTOanSCTCKrJYLChJc/fuXa1WC4PGYrHgiMjs7KxIJAKX\njlXEJNnCJvN4PC+++CI0KypVwvza3NzEymltbZ2amkIifjKZbGxsxCJh8enBKrD7iu9973vYaVNT\nU5BiOBqJYLLBYGhra4OuisfjWNmFQqG6uhph51wup9frsfpxEBW/WlhYgHm4tLRUV1cH4S4SiSA4\ntra2pFIppKrP5/N4PJCPoVAIcaBMJqPT6ZhivkyesVAohCCbnJxMJBJQZridBF+ura2F55FMJicm\nJiAjent75XI5vrCwsABj/4knnlheXoY48Hg8yWQSequ2thbRms3NzY2NDcgpHo/n8/kQE2KK4+HU\nKsbBbDYjcoNblKDRDx8+PDIyAiejpaUFTt7Vq1erq6sh0XDpLbyBnZ0dJqT30EMPobVOp7NYLELD\nhcNhDILL5dJqtRD97733HiM3tVotyjWtrKxkMhmm/K5UKsWTc7kcxL3JZNrY2EDfXS4XE8Dz+Xww\nFHD2C9ONMUFs5vjx42htMBjESWEi2t/fN5lMeLLP58Nq0ev1+XweovnSpUuHDx9GI2UyGQymRCIx\nMDAADWcwGDCkKFYLuRwOh1dXV+EiMyc0rFbr1tYW7AMej2exWPDY5uZm2EAej6e6uhrOPa6BZo5P\noIVCodDlckHK9/f3+/1+CHHGgkkkEkKhEAsyl8sdOnQI0TWRSMTcp9PU1IS/E4mETqeDT9/e3o71\nT0Qvv/wySmMHg8GWlhYmNowtplarhUIh9FMgEHj44YfhvzIej9PpfO211zDd+/v7zLwwF22n0+nB\nwUH4zYuLi3Dgrl+/zmTGw0pDDLK5uRlHVnA2GZqeiDY2NpirfDC8y8vLjY2NGF7E4VCPkcWnBxsD\nY8GCBQsWDyTYShz3Fd3d3SCmGhoaQNDX1dWtrq6C1m9ra4vFYqAWg8EgggS4dhLeD4IEoI9u3boF\n63tra+vQoUNIgP785z+/s7ODRC+LxcK4AlwuFxxXfX29x+NB6W632w1LHNVsUUuitraWKf5UKpUQ\n5lGr1airRETZbFYoFKKRTKAom802NzfDwAwEAsViERb6sWPHQHt+8MEHf2hH9/X1wfVn7NlcLjc0\nNAQzGWncDCmHofP7/XA9iWh3dxcHdZPJpFqtBqe0vb3d0dEBxgYjQEQvvvjipUuX0B3UcYCjk8vl\n4OFpNBqXywV/LhwOP/roo3haLBZjKFOVSoVsaYlEEo/HcSRZpVKBJsWtu/AhLBaL2WzG6YULFy4g\n3om7IlEf9siRIw6HA6/jcrn4Znt7e0VFBXo3MTFRX1//2c9+logYtwwnytELXEmKv5PJJKI19+7d\nO3ToEIgv1ArBqC4uLsID8Hq9TqcTc6FSqZB1uba2VigUQN9tbm4yfqRMJmP8FZ1Ox9zVmc/nsVDf\nffddxDjPnDlz8eJF0JjIm4VHglxKIqqqqlpfX4erVCqVlpaWkMNpNpvhDqZSKbFYDEeTy+XeunUL\nq+jo0aNwa0wmk1wux+CgUhdWztDQEI7AY+3Bn3O73VtbW1hmzHn83d3dmpoanFqZmppi7gsNh8MI\nlDocDlQUI6Lm5ubNzU14RXNzc2AgfD5fOBzGHlQoFKAQI5GIXq+Hxw8mHAsmHo+jC01NTalUCoV9\nH3744bm5OQzazs4O1jYWD3OKA1uJxR8FlkK8r5iengalw5QGr66u3tvb+8N4DBiSRCKB1O1XX311\nYGAAe1Kv1w8MDGD/HDx4ECW6BQIByhUSUaFQUKvVmFOxWIxos9lsbm1tRb71yspKIpEAc3LhwgWw\nUkTU2dmJnYbjPtjYUqkUeiIajUajUSjOcDis0WiYgBkER3t7+0cffQQ5JRKJWlpaQMgsLy9DFrjd\nbovFAo7FYDCoVCroGEYFtrS0FAoF3HDW29s7PT0NPbG4uIhHxWKxlZUVJOhXVlZCRmQyGbVaDcIn\nn8+rVCqQME1NTWBlKysrJRIJtOCNGzc6OjpA5W1ubkIH7O3tzczM4DoYlFvE8Pb29oJ0BQPJVKCw\nWCwQZJubm9Do586dYyTd0tJSZWUlZrC+vp5JGPF4PAjyRaNRn8+HgYJiI6Kamprd3V2ow8bGRr/f\nzxT7gIbr6OhQqVRYJFKpVKVSQU/bbDboCavViipWRLS/v59OpyGjfT4feiGRSJLJJChli8UCkg15\nJdATdru9vLwcOSPt7e0wnioqKpB9QEQqlQoV/4hIJpOBdAUlCH7V5XJlMhmMSTgchuJcXFx0OBxQ\nJKiBiXMX09PTkOYYOmj0d999t7W1FdxjMpmEhYfiZxiQkZERgUCAtXf69GmGY2TqjaFaJsbBaDTC\nWDx06BCOmmDXmM1m2Cirq6v41dramtPpxBdyudzm5iZWdTqdRhUYlK3Cry5fvozByefzTDGqUCi0\nubkJ8nlvbw+LE8wwNBwuXmduUMJJsoqKipqaGrx3a2urVCqx0viPBavA7iveffddyM3Z2VlsdS6X\ne+bMGSgMj8fDmG+43Yo+uW0SQtPj8SBkTURCoRBxr69//evf+c53ICOmp6d3d3efeeYZIpqcnMRj\n0+l0Y2Mj0qWeffbZ1dVV3Aff2NjI6CTGv0kkEidPngRHPzc3B4Oaz+cbjUZIWKvVKhQKIeXFYjHU\nsN1ub2lpAfVvMpnS6TQkDpfLZU40o9wtEblcrqNHjyIuks1mIVVLpdKBAweYuODq6iraRkQI6aXT\naSY4J5FI4AImEgmUXiSiSCSys7MDoTw2Nvbd736XiF555RUEEYnI7XaLxWK8Ih6PI1VseXmZy+VC\niQoEgpWVFVyrcf36dTgWS0tLfr8f0haVahHyOXXqFNyyQqHQ1NTEFK7UaDRIkejt7YUkvXXr1vT0\nNHyXTCbDXLDJ4XCYIU2lUhCFgUBAJpNByi8vLyPtRSKRMDdLHT9+fHZ2FtuWEX8OhwM1Z4mop6eH\nqWYUDAYxrShABV21tLTE3FDD4/FQGLCmpubGjRtI6GhpaUE+wvr6ulgsxpBGo1Gz2QwThDlZXFdX\nt7m5ieAQInbwYxobG5nrvmKxGGyjr3zlK8FgEIrt2rVrmN+6urp4PI7MDofDIZfLoZaef/55xkdv\nbm6GAbG9vX3s2DEoNr/fDzsAPATjqgaDQXw+Pj4OZ4F8QQAAIABJREFULV5WVlZZWQnVS0TFYhF2\nG5/Pxw5SKBQLCwuYTbPZ/I1vfANrQCgU4l0nTpx49dVX4eD29fXhQ6FQGAgEENJ2Op35fB4mVzKZ\nZM5or6+vw+O8c+dOc3Mz1nypVMKuyWazCwsLSPKEy8tK4z8WbAyMBQsWLFg8kGA9sPuKa9euwYdg\n7laPRqNCoRBuWU1Nzc2bN5kEcRi5AoGgtbUVTBEiWCDfHn30UZjkHo9nbm4OpjquNYHb5HQ6YYqu\nrKww/hMuZIH7wpw3crvduHmEiJ599tmxsTF8zpCNPB7P4/HAqdLpdH/2Z3/2/e9/H087d+4cEYlE\nolQqBWqlVCrhQhC0AUYuSmYwGfNWqxVBu5MnT8K59Hq9zP3OQ0ND77zzDtIXtVotgiV8Pj8ej8NN\n0Wq1GIRsNtvd3Q3b+dy5c1evXmUyA9FHHo83MjKCmN/29jaXy4X1XVFRgfe2trY6HA5QiEtLS16v\nFy6LUCiEU/v2228bjUb4DQ6HQywWw69ieMVMJtPc3Iy09aamJqaQ8dzcHNrQ0tIyOTkJt8xoNIrF\n4ldffZWIurq6wOviimqsEJvNVigUwNp5vV4keY6OjhqNRgQsUfUf21ahUDD1gjUaDaKY1dXVxWIR\n7BmHw4Efr9FoEokEnuDz+bDG7HZ7d3c3sv78fr/ZbIa7HAqFGEausbERXtfo6OiZM2cwm7jnhYgQ\nGYW75na7jUYjHE2LxQIn3uFwFItFTNb+/v6pU6dwSsFisWBA9Hp9IpHAMS+ksKPLY2NjmKBisYh7\nromop6cnkUjAj5HJZHgCbnzFvM/Pzx8+fBhMgEQiYXxonU4Hb4wJUxFRoVDABC0vLwsEgpdeegnb\nzel0og2BQACDgzg0ujYxMQG6OBgMikQi0CG4SAVd3tzcBPH46quv2mw2xB3VanU4HAad6PV6sVt3\nd3dXVlbABMzPz0ulUqYQF4tPCVaB3Ve8//774Hl8Ph92VywWC4fDkBehUGhpaQlcB3MgBpQUggQy\nmUytVkOIhMNh/JHL5QwGA2I/LS0tWq0WbOHnP/95CGu73R4MBiGbpFLpyMgIxIFOpwON09HRsbe3\nB5EkFos3Nzch0AUCwaVLl4jIZrPJ5XLwbE6ns7KyErLb5/MhBeDMmTNvvvkm1J7NZguHw3iFRCJB\nDGxhYeG5554Dr+Vyuaqrq6EGXC4XyLcDBw4Eg0HkjAiFwkKhgHF44403nn76aQxIPp/H0zQaDQjY\nUqmkVquRQCEUCiORCGL1q6ur4LLMZrPf7wdLk0gkpqenwd4oFAoEyfr6+kKhEERSLBZTKpUQfydP\nnkRhulwud/z4cUjYrq6u/f196OkDBw5AYUgkkrq6OgjTSCRy8+ZNhDp6enrQNZx0RhwunU6fPHkS\n42AymXC8zGg0IvxDRCsrKy0tLQh3mUwm6Ib+/v79/X1M99raWmtrKxr8rW99C2RXJBLRaDTYy6ur\nqyqVCgP12GOPIYqG4lKwbHAxFREtLS2ZTCYMVF9fn9/vv3LlChE1NDRgKnGTGXSkXq/f29vDD5GO\nQURarTaZTEK7j42NNTY2IuSWz+ehg2/evPnkk09icO7cucPhcBj2krlHWywWw3DBwXkss1Qqhfir\ny+V65513sFkCgUB1dTX0xJUrV6DhBAKBRqNhND3OYBDRkSNHQPoplcqenh48oVAorK2tYbt1d3dj\ncFQqVXV1NQ5jvPfee7h/jogOHz4MdlQoFP7oRz8aGhoiovHxcYzYoUOHQqEQNmkymezt7YWtMDo6\nikFQKBQajQamydbWVmVlJXhOqVSKLty5cycYDGIjJBIJ3JT2/ylDWPwhWAqRBQsWLFg8kGA9sPuK\nf/u3f4O5ur6+DkO+rKwsHA6D30N1aphv+/v7oCxWV1e1Wi1MtsrKyg8++ACmukKhgAUqFotzuRx8\nqZmZmRMnTsDwZwqYfvTRR3K5HHlrpVLp+vXreLJIJEJSXy6X8/v98KVwxTMozVQqBcqlWCz6/X6k\nhwkEgvfffx/02szMDDyhmpoam80GhiQej0skEtjURqORSY/kcrkwNj0ez0cffQSapbW1FbnmiUTC\n5XKhCBY4TGRezMzMwHdUKpUHDx5ExH5mZgZ5dHq93mw2g4g7f/78u+++i+EVi8VomFgs1uv1SENY\nXV1FySsiqq2tRUZDTU1NdXU1OC6z2Xzx4kV4ADU1NbCXtVrtxMQE6nvxeLzNzU2E5aPRKBw7h8Oh\n1WqRF3Po0KGysjIkfyKkT0QgTpnjE8ViER5ARUUFUlJRJgreT21tbTgchgPE3NXp8/l2d3fRi6Wl\nJSbrhMPhwNMtFov37t1j/OZoNIr8RqawutPpVKlU2Ozl5eXw13k8HlPfCJcXY4K2trbQtfX19a6u\nLiTX/fSnP+3p6QH3ODAw8MYbb2Ba29vbkQZiMplaWlowvJlMBjSdUCgcGRmBW1xZWcnc7+xyuTBB\naAAzOPPz8xgup9MJhyaRSFitViyGjo6O1157Df4cn89n6mx5PB4MaV1dnUgkQmV6ZrUEg0GmvpTB\nYDAYDKAxMfWYI6YNsVjsxz/+McZ/c3MTblkqlWLusXQ6nSD9UAcZvLparV5bW8O+M5lM8JX1ej3I\neSJCLWx8nkqlsLTAHKDlPp/vwoUL4NVZfHqwCuy+4ne/+x30Vi6XwyLO5/MGgwFBkf7+fqfTCYr/\n4MGDYIE2NjZaW1uhfpCRCOJeJBJBRuTz+TNnzvzrv/4rEZnNZh6PB6Gm1+tB47jd7pmZGWQG/+IX\nv6BPRKpKpWLOe5WVleFs0NTUlFKpxKYKh8MIs62trVVVVUGJulwuLpcLKsnv90OJSiQSg8EANaBQ\nKBCKIyKlUolstNOnT8/OzkJHymQyg8GAje1wOJjcrZGREUSPDAYDbk/GQGGf19fXd3Z2IlkrnU5D\n5SN/GiPp8/nq6urwt1qtRte4XG5ZWRmy84moq6sLP8Rl9hg98GD0iWwCv4fhIqKqqiqEvogIl31A\nbjY2NuJXkUhEp9PhabFY7Ny5c4hk7OzsIHqEI0QYqHw+39LSAvUTDAYxg6lUymq1MmePRkZG0Ejm\nXkqPx9PU1ASBPj8/X1VVhQnKZDIYxlKppFQq8TSxWLyysoIaVIlEAjmTUql0b2/vhRdeIKLh4WFM\nSk9Pz+zsLKyc7e3t2tpaphcQC7W1tdeuXYP6QVEuZMy/+eabyL7jcDivvvrqZz7zGfrkKh+opcOH\nD2NJNzQ0LC4uIqmSy+Xmcjm8YmpqCurWZrOtrq5C5Zw8eXJtbQ0TJxQKobDX1tbkcjm45aeeeuqX\nv/wl1h5TeEkkEjHJpahnBptJIBBAm3744Yf9/f0gQqF7oKevXr2K7hw4cIDD4WCLpdPp27dvYwe9\n9tprYAv7+/tfeeUVvOLChQswUGBqwNy0Wq3b29tM7RgMqVwuX1tbQ/x1fHwcV5ViSWN48/m8z+eD\nZuXxeDs7O5h3Fp8e7EHm+4qdnR2s3Xg8DuPuoYceikQiKKHE4XBMJhNk0/7+PlZzPB6fnZ2FqVgq\nlRKJBJyPmpoayMG33357Y2MDMYBUKmUwGLBvLRYLKP6lpSWpVIpd/c1vfjMajcLpoU9u9IhGozU1\nNQhroaQeNB+T497Y2KjRaLCBDQYDc+U8kguIaGBgYH5+HgavyWQSCoWQ1xqNhjEwGZ0kFosZv0qn\n00Fwr62tnTx5Evka+/v7XC4X0n9rawuNRHk96JX5+XmkeIRCIUbDHTx40GazwUz+x3/8R4TQ0un0\n1tYWNMra2hpCYkRkNpvxXolEMjExgTDb2tpaKpXC58yxa6fTKZPJEP/w+Xy3bt2CEPT7/RBenZ2d\nSqUSwZLe3t6dnR3meDiGkc/nh8NhyGWVSoVQHBEdOnQIelEikaDSIxGdOHGitbUVp543NjbwzdOn\nT8vlcsjNU6dO4ZwZgFUkEonKy8tR2XJ4eLi7uxtrwG63I1j1/PPPF4tFSHy/3w8Fls/n/zd77x0b\n933fD39u78Hbg7zjHddx7yFSFLVoWcO028TNqheaoC3StAkQIB0IGjRN0R+aFEhSJ0hSJ44dO0gs\neUqWbMmiFimJ4hD3Ph6PvOMN3t6Tzx8v+IPg97QPnOcPAQbu/ddZ/vL7/cz3eL0XjH5CSCaTuXLl\nCuQl+o/gOPX29uLseTwekUgELp/P5zHyhYWFkZERiHzExWC7X3nlFaz//v7+8PAwttLlcvH5fAw4\nl8vhhORyuUwmg4fv3Lmj0+lwirBu+EShUMAGZbPZvr4+mhJOTeHt7W1s8f3798vLy2GiVVdXY+4d\nHR2hUAhKGyYFYdbV1QWdLJFIRKNRSNnFxcXOzk7cR0IIoi1u3LihUCiw3ZcuXcKTBwcHKpUKD0Sj\n0YaGBkzt4OAANuv9+/ebm5uR8pVKpeLxOE4UbTqTy+VEIhFUrvLychybEv1RVPKBlahEJSpRiT6V\nVIIQHyldvnwZ6mpnZycAKD6fH4lEEPAmFos3NjagHqZSKSizZWVl77zzzvPPP08+btcL501HRwdc\nWbu7uyqVCs4Jl8sllUqB4MvlcgTa7e/vp9NpKLZzc3P5fB5v3t7ehg3X1dU1NzcH0E8oFEokEtqH\nBXbSkSNHzp8/T1uZOBwOfDoej8Mk4vF4sVgM+qxEInG5XNCIy8rKoKL6fD6oooQQr9f71a9+FUro\n7u4upsNkMlHrgRDS0NAwPj6Ozz3++ONIIZBIJNRsotDN4OCgWCyGqQpFHpbBu+++ix/l5eV37tzB\nknZ2di4sLGCa6XQabq3NzU2RSASzbGBg4MMPP4T2ncvlMHeLxTIzMwO8q1gsslgs6NHd3d2YEYvF\n0mg0iJb2+Xznzp1DhZSamhogY1/72tdisRisYQ6Hw2Kx4AdSKBSIY+zs7IxGowADEf2It927dw+r\nxGQyJRIJ7IlQKPSZz3wGpmplZSUwVRaLhZxuQkhTU9Ply5dhGXM4HNhMKpVKrVZjW0UiEXA8hLDD\n2EJhF2yrXC7H3AuFgsVigZPsy1/+stfrRXjk4uIi+qN2d3eHQiGMQSQSud1ubPfe3h48pvF43Gw2\nI+Awm80KBAKgxDMzMxjD3t5eVVUVTsvAwMDNmzexcQ0NDVhepVI5ODiILfb5fPF4HP7XiYkJ+Fwn\nJiZ6enrwj5cvX+ZyuZiRQqGgd+369etwjqZSqb6+PtqYBmcAAfG0IdHGxgYctCgdghNLCIHRv7Oz\nA9OQyWTK5XKcHAaDoVAoYENns1lMze12p1IpmIkLCwsymQxvWFpagg3d398/Pj6OWSArgJaYKtEn\npJIAe6T0ve99DxxfJpOBJ46OjiaTSdx2wIbYkdHRURx3h8NRXV1NOwwRQgDl2Ww2XAP0vqL5TxqN\nBhyfx+NRgD4ej4OBZrNZ1AcifxDpEAwGvV4vXm61WoVCIfCuaDQKFmC1WmnTJqlUenBwAL/I9evX\nEZnd1tZGPWorKyvpdBriRyqVwh9w7969nZ0dTFMulysUCggVFouF177//vscDgeM44033hgYGADu\ntL29DR6h1WpRdosQsrm5CX9bdXX17u4unCK1tbVarRbT1Gg0kOIej2dpaQnfstvt9fX14DIymQzl\nIUwmE82HczqdNTU1cDUVCgV8K5/P9/b2Qsq2trbGYjGwv+3tbWBrU1NT3d3dGI/b7T569CjcTgMD\nA3gth8MJBoMIvXn55ZdVKhXcjVQMczicnZ0dsH6bzXbjxg0U/mCz2dhij8fzox/96IUXXsDybm9v\n421+vx8iXyaTpdNpwKevvfaaUChEFIZOpwNChaYz+JxQKMQUAoEAl8sFtrawsICCVYSQ5eVlLP7J\nkyfX19cBiKXTaRrvbrPZIAsTiYTRaASk9s477/T09EC6h8NhDEwul/f09CCFYGZmRqlU0gQ1hJno\n9frp6WkcjFgsViwW4Ze6ceMGLUdiNBohhmUymVKpxBaPjIzAtfnFL37x6tWruBShUEipVEIkcDgc\nyMLx8XF6F0QiUUtLC9o3x+NxZCl0d3fb7XZsyvb29qVLl77zne8QQqqqqmip/mw2CyGaz+dpq+6K\nigpMs7Gx0e12Q06zWCycHNp1Gg/4fD4MEn9CCGloaDCZTPhPj8dD2/qU6JNTSYA9Uvr+978PjYzF\nYuFG5XI5l8sF+fTqq6+mUikw0KWlJailQqGwuroaV1Emk01MTKAx+eLiIgSGwWBYWlqCV8NisQwP\nD+M3oi0IIfF4nBp29+/fD4VC8KycOXMGzQMHBgZisRhNVLpz5w5Ys8lkwiD1en00GoWBhYJMmE4+\nn4c2iggCCJKPPvqoubkZSih1dSQSiZGRERy2Dz/8sFAogGfpdDqkAB86dOjq1atf//rXCSETExMz\nMzN4AO5xQgiPx8tms7BdGhoaYI6srq4KhULwaIFA4PP5aBQc5KJAIHjw4AEG1tjYeHBwQDuJgFkj\ngxvrf+fOndbWVvBuJpMJXyOyeSCn0foSwvvBgwcQOaj7h9VjMpk8Hg/MPZfLgeU9/vjj9+/fx9yD\nwaBcLgfvpiX+vF4vj8fDd9lsdiaTAaejlYqmp6fHx8chzDY2NqxWKwwONpsN4yCdTjscDphNnZ2d\nnZ2dv/rVrwghhw8fxkZwuVzaCpKW4kWiNJKlGhsb8/k8zJTbt2/D0u3o6GAymfiuzWYzGo0YJO3g\ntbKyks/naeXGVCoFdry1tUVj9ng8HnyBDoejrq4O54H2gSsvL3///feh7lgsFoFAgL24evUqMvZQ\nPg1HOhgMHjt2DKEQt2/fxnSMRqPP58PnXnrppc997nMwfAcGBvDjT/7kTyYmJnD+Nzc3jUYjYmuP\nHDmCkUO647V8Pn94eBjGX2trK5Snvb29jo4Oqsxhf0Oh0MHBAQx6NpvNYrGwxbTGWzqd1mg02KCO\njo5r165hg7q7u+ExzWQylZWV1KP24MEDGLsl+uRU8oGVqEQlKlGJPpVUssAeKb344ovQwo4ePXrz\n5k1CSHl5eVlZGZQ7l8s1ODgI2MFutwNsQQlw6Owej8dkMiHYTCqV4oF79+4dP34cJsLm5mYkEoEO\nG4vFoOSurKzQ2OL9/X0Wi4VSHVVVVXigWCyaTCbo1LOzsyqVCp+bm5sDntPQ0PDyyy/DduTz+aFQ\nCNZYOp3Gj2w2G4/H8YZQKBSJRPCHUqmUNqcPBoNAbPAGqM/FYhFGVX9//49//GO8TaVScblc/CGP\nx8PiPP7447OzszDLGhsb//M//xP/uLCwAFNVp9M5HI4vfOELhJCFhQXozkePHp2ZmYFZMDIyEolE\nAO+Ul5fj/ehyCbPMaDTSMFGaGNfS0uJ2uwHnhsPhaDQ6MjJCCLl9+zbW3Gw2azQaQIhms3lzcxOW\nGerYEkKEQqFSqcQ0b968WV5eDgTvD3G2VCqFt1VXV4dCIYBgu7u7sCHkcrnVaoX/6cMPP0wmk9ji\nVCqF49TU1DQxMYGsvqtXrz722GMwm3Q6HQyLzc3NgYGBl19+mRBy/Phx5IG53e5Tp07BJEJ5FBg6\nfr8fBwM+MAwsn89TZ1Vrayss4GQyKRAI8IBEIvnNb36DTL58Pg8rZ3R09MSJE7BEkWL4zDPPEEJ+\n+MMf4kZkMhkOhwMPLiEkHo8jq++5557DkgoEAhoiKBaLo9EoHIc2mw2AW21tbSaTAVKdTCaTySQ2\njlbMikQiFOtDRS5AuwMDA/AUovwN1uSb3/zm6OgofGNcLhffYjAY1dXVeO3q6irWeXp6GqgjvUFY\n80KhANsdvZP+35Hx1dXVMGRTqdTm5iaWGm5seBNL9MmpJMAeKT333HNnz54lhBSLRWA7fr//0KFD\nuF3/9m//NjQ0BIZy8eJFWol8f38fsOG1a9cOHz4MfC+dTqPOU11dXVNTE2X37e3tEIH5fB7ZMyiu\nQ3v4zs7OwpEeDAYB3aTTaZvNRnsKl5WVAZSz2WxgAb///e8lEgluXTKZ9Pl8uOFOpxOB15ubm93d\n3ZANq6urbDYbDCUejwNjqaurY7PZr7/+Ovm4VS4YnFarBTdPJBJg0ISQXC6n1+vBIjs7O+F/qqmp\nSSaTEHuBQACh0js7O//yL//y05/+lBBy6NCh69evQ/SazWYwDgwbMTIMBqO7uxuh5CqVChUUX3jh\nhfn5eQxSpVKlUilAizdv3sTicLlc+BfJx0Er8LR3dHQA8HE6nadOnQIQJxaLlUol9uL555+HEC0U\nCsvLy5Do4FlArmhkTTKZbG9vh5wuKyuz2WxgZEKhEP+YSCSQ7UQI0ev1a2traNlss9mglzidTtqq\nWC6XP/bYY7/4xS+waFjVkZGRyclJ7OAftnPL5XLgwleuXEEbNkwT/zg+Pj4yMoKHGQzGu+++i1Sn\nVCqFgyEQCAQCAc07XFlZgXu1p6cHP3w+n9lsBox25swZp9OJNEfkTWPuLS0tCKCIx+OnTp0CfLe6\nugohzWQyaXzQ1tYWj8fD4lRWVtJSh4VCAQEs6XTaarXiBkUiEfzj3NycUqnEgJHJh8zrv/qrvwKu\nyGaz3W432hdcuXJFrVbjJFOSSqUymQwHY3t7GwEsm5ubHo8HePLo6KjRaMQ6ZDIZyEWlUkmTH5qb\nm9fX16FMnDhxAt4yi8UyMTGB61yqRv//j0oQYolKVKISlehTSSUL7JHS/Pw8KhSYTCboiVqtNh6P\nw/pxu90HBwc///nPCSFGoxHWBpoOQwM1m83ZbBZwyv7+PjTuiooK1DsghMzOzg4MDCDygs/nAxG6\ndOmSVqsFCOb3+2mhh1OnTtE+gVarldaVsNls0EArKyuhkqvV6snJSRRcCIVCW1tbgFOYTCYMi9de\ne+3EiRNQUe12O62vsba2hqk1NDRsb28jNiGRSCiVSprQDcOCwWDo9XpoxFtbW1qtFjbW6OgoYlXM\nZnNnZye837FYDMq12WymTYcPDg4qKyth/Rw6dAhVeWQyWVNTE4JWWltbaQ9Jn8+H4LqdnZ1gMIgV\nMxqNaPxICFEoFDCRZ2dnESRNCMlkMgMDA/DhBwIBhAJOTU3BCCaEbGxsUOPD6/XChtvb2xOJRFhq\noVCo0WiggNfU1CC6YWFhgc1mAzZ0u907OzvQ5Ts7O2m92ng8jvMwPz+fy+Vgvvz+97+HcTk8PBwI\nBGDwoX8xtritrQ1xOkePHo3FYjQxACfHZDJRhDYcDnM4HJhoDQ0NWDGZTGa1WrFTW1tbTU1NiFXR\n6XRAR/P5fDabxWth1gOMLRaLGHk8HqeNDoaHh2/evEm7geNATk1N8fl8LJRSqaRdGurq6oBMplKp\n/f19LOnZs2evXLmCh1ksFnCLYrHY1NSEf0wkEoFAgJZ3whEKhUI0DZ/L5e7s7ODTNpsNKKXdbr9w\n4QKmjF3GbtrtdhzO3t7et99+G7UCfD4fBma1WmdnZ3H+Z2dn0b7yDy97e3s7g8GA9RmJRDQaDbCE\nzs5OXJ/Gxsbbt2/DCt/c3ORwODhyJfrkVBJgj5QuX74MVnjv3j3cokQiMTc3h6uIDC1E5X32s59F\n9B2Xy83n84BuVCpVLBZDZFosFsOlTSaTQqEQd8Nut+t0OkRk+Xw+vCGZTGo0GiBytbW1V65cwVWc\nm5sDI4vH40qlEjyxqqpKp9PBD2E0GnE/19bWVlZW4DlQKBT7+/vgX1arFaiI1WqlZQ+np6f39vYQ\nS5lKpQBAqdXqBw8egB3AIUTT3cBhn3/+edot/tatWzU1NWCIlZWVWJBnn3327t274I9KpRIAYGNj\no1QqBUPxer1VVVUYTz6fx9S6u7t9Pt+JEycIIRsbG7Ozs+BNXC4XIr+rq2t1dRUMhc/n5/N5eBar\nq6shFzc2Nvh8PqaztbVVWVmJvZiengaP1uv1NH3HYDCkUinApzqdDlDS+fPnU6kUsCZCSHl5Oabc\n3NyMTamqqrLZbO+88w4hJBgMPv3001AgaKiqRqOBFCeEFAqFRCIBhi4QCBDwPTY21tvbSwudJBIJ\niMNcLofTcuPGjXQ6DfnU19eHUizoTQxP0rlz5+bn5wHldXV1IVxeq9VKpVLI6XA4XFVVBY7P4/Gw\nfXfv3u3q6gKP9nq9HA4H40QPFEJIKBQKhUK0RQCNSu3p6UH1yNra2mw2SzsH+f1+DFKr1WLuABhx\ntFwuVzqdhtRH2hleW19fj4QQpVJ5/vx5VMxyOBy0ZUE4HMZe4BlM2el0opb/V7/61bq6OuhGQqHQ\n4XDgE7lcjrYIyOVyOJCRSISW06SNPQ8dOuT1eqEKdHd3o3fB/v6+QqEAzjk1NaXVarE4y8vLuKHT\n09OVlZWQsqlUqrW1FdhmiT45lQTYI6Vf/epXyENC/iz5OCkEXl/cB3BDuL4IIW1tbRqNBjzabre3\ntbWBHQQCAehrY2Njs7OzuLSbm5t8Ph/xAvQNyWRyc3OTpjfduXMHm07jvE+fPr2ysgJOt7KyIpFI\n8Dm/348fBoPB7/fTo2I0GqHP7u7u0g68uVyOuqYbGhrAAkZHRxEMffPmzUKhAM4uFArT6TQkDTXF\nCCEDAwO02a7NZgOb4PF4GINCofD7/bSfMpw08/PzgUCAhmAkk0lwupGRESjy29vb6JVFCKmpqUml\nUlje9957DwZlIpFAChQhZH19/dixY7Dt7t27Bxmg1+tpKi7a28PIq6qqglm8trZWXV0NJq7RaEQi\nEfSDtbU12EyJRMLtdmO7U6lUT08P6vbW1NRA+25ra3M4HMjcGh0d7ezsxJRpleeRkRFa/ctms126\ndAnaj06ng/Vz+fJlv98PMex2u5uammD0zM3NYQytra3xeBxvEwqFmEJNTc36+jqco7CPcbSmp6ex\nfcVikc/nQ+1QKBT37t2jJbWQ7r21tWUwGGi+8MWLF7GtIpEIR7q9vV2v1yNzq7Ozk3J/iUQC7cpi\nsaTTaUgaHo/n8XjgWSwrK8NO5fP5Z599FtJld3fXYDCgFuXQ0BBelUwmLRbLhQsXMMhisQiIQiQS\n4Qx4vd6Kiop3332XEHL27FmFQoFF43A4+EcJt0vAAAAgAElEQVSPx2O322nF52w2S0tB4oqFQiG9\nXo81iUQiyMpwOBwymQxWr9vtRr86bAqkmlqtvnPnDkKuPB4PrfGm0+kwBUwQSEBVVdW5c+cQglSi\nT04lH1iJSlSiEpXoU0mlYr6PlDo6OmBk0KBzDofj9XqhcUul0vfffx/6I5fLhUIXj8dTqRSAL5vN\n5vF44KRxOBzQ/tra2tRqNTRfk8l0cHCAt7388ssIWd7b2zMYDHg4mUyKxWJgj0tLS/gWwuEQu8hm\ns6PRKLCOQqGA7yK9GrAhm82+fPky9Mq//du/Bda0t7cnFAoBhlRWVl64cAG6fEdHB5w0KpUqGAzS\nggtdXV2wafCfmHsoFIIWTJ0i5ONUZUKIXC7f3t5GeGSxWEQSgkqlEggEUHiFQiGqthNCLl68iCLf\nBwcHFosF4fvb29uRSAQQbk9PDxAhr9drNpthAVRWVs7OzuJtJpMJpkAqlXr33XcxcoVCgfaVhBCz\n2YxvffTRR8ePH6fF5hkMBoI/JRIJIu6USmVVVRXWf3V1FcX4MWUAcRMTExqNBhHqhUJBLBYDQrRa\nrTgk7733nlarxSDHxsb6+vpgFcXjcQRzHj161O/3wyp98cUXb9++jU/k83nEtb/++utyufz06dP4\njb9isVgmk4kW2pdIJLAJ5ufnsf5Go9HpdKKQ7tzcHK1CW15eDhROKBTeuHEDbsWKigpa3HZ8fByW\nXzQaHR8fp4Gdg4ODOFFwHOIN8/PzOAM9PT1GoxFWaXV1Nc6/2Wy+desWgjyffvrppaUlPFAsFmFl\nikSil156CZGBAOFhP9GWCDMzM/l8Ht9VKpWLi4vYzcuXL6NmTSwWY7PZmFEmk2Gz2TiHfxjUzmaz\nAfwajUbstcvlYrFY+O33+8vLy4G3u91uzH12dhb9YzG1hYUFPODz+Wjv8tbWVmxxd3c3rQ9Qok9O\nLGDoJXo09OMf/1gulxcKhXQ6nUgkksmkRCKx2+25XK5QKCwtLbW0tKytrcVisaNHj+7v7wuFQplM\nptfrs9lsOp1WKBQHBwf5fD4YDCoUCqPRiDYoKDBRLBaBUw0NDZlMpkKhIJPJmEzmvXv36urqdnZ2\n8vm80+n0+XwffPDB4uKiRCLZ3d0FY71//z4i3cvLy9va2hKJBJ/Ph4RjMpmBQCAWi8G5derUqbKy\nso2NDbj9o9FoKpXicrkI706lUoAQwUTQBozH45lMplu3bg0ODopEItx5nU6nVCqvXLnS3d1dVlaG\nptIASyUSic/n8/v9sVisvr6+srJSr9ej3pXP54vFYn6/Hx4FBCyYTCaVSrW3t9fZ2Ymsr+PHj6Mp\nM0okhMPhfD4vk8nkcvni4uL+/n5/f//a2lo4HF5bWysvL5fJZFwu9+DgQCgURiKRQqGwvb09ODio\n1+sXFhbQjZrP5/f09IyOjqrV6mw2GwgEUqnU3t5efX090Dl0CINGks1m0V5LIpEYDAan0ykWi7lc\nLsoFGQwGhG77fD6PxyOTyRgMRiqVSiaTBwcH6XTa6/VGo1FUYwmHw83NzX6/n81mI1Alk8mIxWL0\nzUHhf6FQaDAYurq6TCaTTqd74403dDodi8Wqra1dWVnZ2Niw2+0bGxtcLtftdguFQgCDWDSVSsXh\ncJLJZCQSOTg4yGQyFoslHo/n83lUgcrlcvF4vLm5eXZ21mazITjIaDSKxeL19fXGxkb0Brpy5crw\n8PAPf/jDycnJuro6rMDBwQGbzRaJRHw+H97E99577/79+2w2Wy6X5/N5q9WayWSi0SiLxfJ4POl0\n2mg0ogIZZLlcLs/lclar1Ww28/n8+/fvczgcNCtYXV31+/0CgaC9vV2j0cjl8kgk0tLSAiTZ6XQi\nuzGRSMRiseeff765uRlt7V5//XVU5AqHwwcHB8PDw7FYrLy8XKlUFgoFVLaMx+N9fX3oe97d3Z3P\n54vFolAorKysTKVSEJ8SiYTJZLLZbLVaXSgUhEIhnH9TU1O7u7vZbPZLX/oS0EK1Wl1bW4tbIxAI\naKtuFot1+vTpyspK9HdG5kCJPjmVBNgjJafTOTY25nQ6u7q6tre30+l0Lpdzu93ZbDaXyzmdTrPZ\nrNfrjUZjJBLBAzMzMy0tLSKRiM1mb21tIWYhnU6rVKqDg4ODg4MrV67k83kmk3lwcBCLxeRyudvt\ndrlc8Xg8l8slk8nKykok6ESj0dra2lwuZzAYLBbL/v4+g8FgMplms7lYLNbW1gqFwp2dnYcPHxqN\nRhaLxePxuFwu2l2eOHFCKBRardaPPvoInca0Wi2TyYxGo5lMZmxsrLa2NhaLcblc3M9YLJZOp30+\nn0aj4XA4KpWqsrJSLBbDyRcIBOrq6gQCgUwmi0aj6XT62rVr9fX1wWAwHA5LJBIMGwbWw4cPPR4P\nqhAJhUKFQjE4OLiwsJBKpdhsNtzgqL2LKbNYrPv373/mM5+pqKgIhUKFQiGfz7NYLFRCKi8vr6io\n8Hq9arVaJpPB8pienna73ZWVldgCuVze3Nzscrkgk4RC4bFjx2B/MBiM1tZWtVodDofLy8t5PN7a\n2lpXV1d/f39LSwt6r0il0rKysmw2u7CwAO/XxsZGVVUVl8vd3d09efKkzWYrLy/f3d2NRCKZTEYm\nk4lEIvTT2tnZ8fv9sA4fe+wxgUCg0Wj0er3BYKipqTGZTLlcrqamZmFhIRqN1tTUFItFNpuNgoEI\nY/N6vbu7uxwOBy0f+/r6ZDLZ3t7eY4895nK5UqmUSCRaW1sLhUKBQKC5ufmDDz7Y2to6d+4c7GyR\nSIT6T0wm0+l0wjqBSKirqysWixDzS0tLHo8H+b81NTVYSfhBKyoqpFKpx+OBPTo2NlYoFMLhcDKZ\nRCqeyWTyeDyQhePj4z6fDzKptrZ2cnKSyWRGIpFXX321srIyl8tNTk6m02m/37+/v49mQzh7OCFa\nrba3t/fBgwf7+/vwAuI8l5WVORyO9vZ2mUyWyWTMZrNYLM5ms/Pz8y6Xa21tLZvNQl/UaDQIZA0E\nArlcTqPR+Hy+YDCYTqedTucLL7zQ3NwcDoe3trYw90gkwuVyi8Xi/v4+bhPUuLa2tuvXr7tcrmw2\nazQa4WmjkZ+9vb1QGhQKxcTEBIvFSqVS1dXVPT09aJOWz+fT6TTaypTok1PJB1aiEpWoRCX6VFIp\nCvGR0i9/+Uu4PXZ2duBvYLFYU1NTgP7sdrvdbod7SSQSwQcDrROBbX6/32w2ww+EykmEkOrqaoAt\n+CsaiTc7OwtnmFwuR19HfHdrawtOi2KxCF9XZWVlPB6n2WOzs7PwkQwNDSHADDgnfD/xeLxQKCDe\n98iRI4gl02q13d3dGHAwGBQKhQhxtlgsiFa32Wx2ux0PwCKEjyqdTmPuLpersrKSVgbJ5/PwCcVi\nMThLpqentVotsJdMJgNnTDabPXz4MKKWkU4Aj0KxWIQH5fTp0/CUEELW19crKirgDzOZTHjV2tpa\nTU0NnBOXLl2CWUMIsVqtcApyOBybzYa/4vF4CoUCy6tWq+GM8Xg8Ozs7WDGFQlEoFFCd5Ne//jWK\nLDz11FOrq6sYhlAoDAaDAFHtdjscM7dv35bJZJimQCCIxWJwGtXU1OC7qVQqHA5jkIlEAslVhJDG\nxka4W7xeL/pxEEIMBsPY2BhqNS0tLSH5wWg0KpVKeNFWV1cRUy6TyXK5HPxtbrcbgDOmhvodLS0t\ntDw8MGp4j5LJJHYtl8sFAgEUufD5fFKpFL63V199FXGSfD5/bm4OozWbzYlEAkF377//PrCf3d1d\nNCbGFuP9hJCKigpMJxgMPvXUUzhFmUxma2sL4bLLy8vwt83Pz9MI9d3dXVRsIYQwmUy8VqfTWSwW\nHMj9/f0LFy6g2Aftyn3kyJGJiQksFAqhYQwGgwF3jcFgpNNppDbSHJJQKOTxeBDgCnsLmRsCgQCb\nwuFwYKsRQmpra5VKJd789ttvI8D1O9/5Ti6Xg/cayCRiiUv0yakkwB4pvfzyy+C2Z86cwe1yOBwr\nKyu4fpFIhM1m4860trZCwkkkkvv37//rv/4rIWR/f59281pcXKS91dfX1yHAysrK9vf3kb9cKBQg\nMDKZzMmTJ2mT32w2C8E2OTmJNwSDwWKxiKuYyWSQmkMIWVpaAttFLg6SV3g83uLiIvj1nTt3EE7N\n4/EmJydRLPHhw4dSqRRu6kQigTE0NjZyOBxk1UxOTtLydywWC9OBRw1xxn6/n/YGq6qqQgGqb3zj\nGx9++CEaYdBkUrvdHovFIA/4fL5arcY63Lx5E//4xBNPeL1eRFXk83mVSoU67jTMoampaXd3Fw+H\nQqGGhgZEXhBCwKMPDg5QoAtvmJubQ1hKZ2cnVqm7uzscDkMvcblcXC4X8daFQgFv2N7e/uxnP4vg\nHSBU2CAmkwlBMjo6WlNTA5Hc1tZmMpkQ4UI7L+v1ehaLBbXj7t27LS0tqNGnUCiQZhcIBFpbW/GG\nzc3Nzs5OROr/4Ac/gNASCoUoyUgIUavVNE/5zp07EMMNDQ0ymQy/aR46WqjgDYABwWHHx8cRWWO1\nWhGRTwhRqVQajQbh7A0NDdhKhDDgu2NjY8hnJ4R89rOfhaoBzxBS6xYWFkwmE5aXxWLhjKVSqbW1\nNSyvTCYzGo2ItigUClhnvB+3KZlMSqVSSP1EIgEharFYJBIJFucXv/jFzZs3cThpT22LxeL3+/Fw\nMBjU6/UY5KFDh9CxRSqV8ng8ZKdcu3YNPyoqKu7cuYNUCq/XW19fj983b96EyL9+/fqhQ4egSNls\ntmKxiPTKoaEhnNJkMvmVr3wFe1FVVZXP5//sz/7sf2IbJfpfqQQhlqhEJSpRiT6VVLLAHin993//\nNywhi8UC5c5kMs3PzwNz0Ol0Ozs70Mo3NzdPnTpFCNne3jYajbR3Yl9fHwrpbmxsAI3Z2tra399H\nSPfm5qbX6x0eHiaErKysIP0T+imcyTweD6F3hBCZTAadcW5urrKyErr8zZs3Dx06BLNpcnIS3xII\nBLSuPCozwds8Pz8P28XhcDz55JOIdT5y5IjP5wP+s7S0hNDtZDKZy+XoA7lcDtBKRUUFAvHNZvP8\n/Dxei8LqGDBc+oSQ6urqhYUFwEcbGxvAVJlM5traGqyBSCTCZDJhQywtLT3xxBN4IBAIwJgDXIlp\nhsNh/IhGowcHB4hgjkajR44cAQC1vLwMPR1xMZj7sWPHNjc3YbbiJeTjqud4g0ajeffdd/GAUqlE\n4rZCoaD9ySYnJzUaDezaYDAIs2BwcDCTyUBtf++990wmEz5NkWGVSoX4C2xWTU0NzHStVgt7RaFQ\nCIVCQFstLS0ulwtp0d/+9rdxzHZ3dzOZDLDNsbExzJ3JZBYKBQysoaFhc3MTSJ1YLAbod+LECdrc\noKenZ319Hewik8nADDp8+HA6nUa4eUNDQ7FYBKScSCSARmq12rfffhuoQ21tLYPBAEIrFAoR9F9W\nVpZKpXB6XS4XNROXl5dRFuSxxx7b2NjASgJjxJrcuHEDN0Wv17e0tMAC43A4dXV1ODlmsxmzQOQU\nRv7KK6/QutVzc3O07er+/j6MvIqKCoSGYosBMExNTR05cgSmEg21yOfzdrsdR4vFYiGWFQ/DNATa\nD0N/cnIymUziwiIaFg9EIhGMtrGxsba2Fk1uS/TJqZQH9khpc3MTh5gQAiaytbWFEuaEkAcPHrS2\ntuJwczgc4BgA4sGn+vr6crkcmOny8jJkAK40LtKf//mf//znP4eciMVicKehkyEQm9u3bysUCmBT\ngUAA6BCbzZ6enkaH4sceeyybzWI8TU1NkKxMJpPBYIDbjo2N1dTUgGfRDvFoHQL+iKbSYEkImMS3\n4vE4Cg34/X5AjoQQFotFfVFCoRDupWPHji0vL+NiHxwcgIn4fD5a58lqtYIvnzt3LhwOA/zk8XjU\nD3Tu3DkgQg8fPkRMGiHE6/WaTCYUpurs7IR7TygUslgsMNP9/f27d+/+X3lIAoHA4XCAyy8sLJSV\nlUEFqaiooHM3GAzgsLu7uy+88ALEv8ViAVdlsVibm5vYIKVSiWBxQsjw8DCWVCQS2Ww2WpXfarUC\nBJNIJJimQqFobW3FZtXW1sbjcSg0crkcfDmfz+/t7UFwIn4db/67v/s74Jw7OzuHDh2CH1Sj0QDL\nXVhYyGazkCgzMzPFYhEMvbu7G4vvcDhOnTqF03Ljxo2mpiYEhUulUrgwQ6FQR0cHpjYzM4O0AUwT\nW2kymbLZLPQkvB+Sr6GhAVuJ1jxQGjY3NxGcST5usEkIWVlZ4XK5WGq0G8UD9fX1ODnBYDAajWIM\nwWDw1q1b2G5auZEQUlNTgw6fLS0tuVyO5iBixebn55uamnCk0+l0f38/+g11dHTg/Odyuenpaaxk\na2srfgDMxzrncjlarqWrqwuahFgsRggufp85cwZHTi6XYwpHjx51uVyY+0cffbSxsVESYH8slSyw\nR0rf/e534UyOxWJQwxGDSzsjB4NBiAEej4etKSsru3fvHpjX2bNn7XY7Tvnq6ir0RITdwxWfy+US\niQRuvlQqhQhUKBQulwsmwm9/+1upVIpb5/f7UU4JxeLAcUQiUSaTgU9ufn4e8uD48eMrKyvgelqt\nlspOWquUw+EgeJoQgsBujKGmpga4f0VFhUKhgA7b3Ny8tbUFJo4kIUIIn88PBoOwQkKh0OXLl+EX\nCYfDtNZReXk5+CPtnysQCLxeL0zVqampjY0NFIVCThUhxOl05nI5KA1KpTIWi2FVHz58iPXv6OgQ\ni8VIhkNmEvR6DoeDVeLxeA8fPoQ1cOjQoe3tbXC99fV1jBbzBVMzmUwSiQQmI5LYyMdyEVw1HA4/\n88wzOAN8Ph8PYAuoViGXyxGew2az8S0ej+f3+2EeNTc3ezweMNbq6moURdzZ2WlsbETYi0gkqqio\ngPSVSqXg7N/61rc++ugjMNbq6mrYZ3Nzcz09PeCqTU1Nt2/fhiCnEqWmpiaTyWBbEcyCbY1Gowh5\nuHz5cn19PY6Z1Wqdn59HeILZbIaiYDAYwuHw7373O0IIi8UKBoOQfGazGbZ7RUVFWVkZfqdSKbVa\njQFHIhFEtayvr9P+3fPz87ByCCG9vb1wK+7t7WUyGTywubnZ0NCApTabzZjvzMxMMBj8yU9+ggvy\n1FNPQah89NFHON4SiaSlpYV2Qm9uboacZjKZKEaFpmi4QRKJBGJepVJduXIFYvgPqb+/H5silUoF\nAgHidEKhUCaTQbY1BRWGhoZQ5JcQ8utf//pzn/vcU0899X+zjBL9f1LJB1aiEpWoRCX6VFIJQnyk\nFI/HAUalUimggkNDQ8lkEjCOTqeTyWQIMDMajQj2feKJJ1QqFXT2a9eu/emf/ikiu/h8PmC6ZDIp\nk8mgM/b29q6vrwOEnJ2dhYIJjBGejIcPH66srMDoOX36NDTBaDSq1WoxMLvdXlZWBueZQqGAWmq3\n20UiERTejY2NSCSCQCyPxwNllsPhlJWV0QLke3t7GEMul4MXzePxZLNZ6PLJZDKVSiHGrLKyEh3/\nGhoapFIpTLREInHixAkMvqenB1qwTCYbHR2FFQhIkxBSXl6u0WheffVVQsjhw4cPHz783nvvEULa\n29sxNYPBMDc3B7iyoaEhEAhAC25sbIRCLRQKZ2ZmUHF4fHy8ubkZ381ms7BC5HK5RqOhdY9isRis\nYblcjjXv6urKZrMw8lDpA4vjdrt/+9vfEkJaWlrEYjEamUKRx0IxmUyMIRAIbGxsIFTy2WefvX37\nNi1lBJeSQCCIRCII8nz77bcbGxsxBrvdjl1jMBgVFRVo31xdXX39+nU4C3HSCCFPPvnk5cuXoeCv\nrq4ChbbZbLR2vsfjOXz4MLIjUJOCEDIzM4NMW0LI5uZmR0cH7Gmv14sC/yaTaXt7G4OJx+NDQ0OI\nDt3e3h4aGiKETE1NORwOnAEWi4UVI4QsLi7iEzqdbmtrC/ZTPp+vr6+Hg7arqwuHobq6GtnZuCzh\ncBh9XBH0SAhBnjKsz66uLqPRiE4FDAYDRjaDwfjNb34Dc9nr9YrFYrw5k8nA15hKpTgcDmBDQkhz\nczPsaeS2E0LW19eLxSKWlMViAe1A9QCc81QqZTabcUkTiQScshKJJJvNwkSz2Ww4FYSQyclJjPbD\nDz98/PHHYVh/+ctfhtFcoj+KShDiI6Xvfve74I/7+/vwlAQCAbFYTPOQOjs74fGurq6GbIDDA23s\n19fXFQoFGKtUKgWeg4IUcDNks1k+nw8ugwJFhBCUDwBK5vf7w+EwAEAUUCCEOByO2tpaAEFSqZRW\n8zMajQBA7t+/n8/nAV2iBiPtXgGgz+v17u/vgxWi6Mb58+cJIR6PB/2fmEzm/Pz83/zN3xBC3n77\nbdoxGUUUCSEWi6WzsxNly1EznlZWhPeupaXlxo0biJtANQpCSCQS6evro96jxcVFAKFKpRIC0uPx\nKBQKIHJnz55988034U2RSCSILnnnnXc6OjrgvYC3BmIApdMJIVtbWyMjI5CR3d3dFRUV4NEUtkIE\nB+qaf/7zn79y5QpgNI/HA+7W1dVVWVkJpI7P5/v9fvgmHQ4HYMODg4OmpiYoDSKRCMVBsPXYa1TW\nwMjRWwcqyNTUFDQMhLMD+PX5fJ2dnUCxhEIhjWq5fv06pHt1dTUWRKlUajQaQHYSicThcGA3ab+P\nvb291tZWyEi3211dXY3z4HQ6sQgPHz7U6/X4q9nZ2VQqRXuDgbE4HI5bt24BFX/zzTfD4TDevL29\nDYmeTqd1Oh0eZjKZDQ0N+JzL5cLIUcMJf7W4uBiLxYB/7u3tYY7V1dU8Ho92hU4kEoCR0+k0ZOH5\n8+dDoRDNjmhqasKbM5kMBFUmk1EqlfAct7e3OxwOnEnaVk0gEKRSKRwYj8dDUejGxkasOcLocYoi\nkQguYzKZbGxsxGBQswqDPHfuHL4bj8fHx8fxhi996Uu7u7ulMPo/lkoW2CMlmoG7vLwMJnXs2LHp\n6enx8XFCSG9vbzQaPXnyJCEkGo3ilCcSiZ6enuvXrxNCWCyWwWCgLi5A/PBagduur6+3t7cjWWp6\nehoullQqdf/+fbA/o9E4Pz8PVXF7exsmkclkWlpaAk9cW1s7efIkGCvtUl9bWwv3OCFEJpOJxWL8\noUQigQ0xNjbW2dkJfr2wsMDlciF+nnzySXiPCoUClQ21tbX5fB7TR10iQojBYFhfX8drc7mcQqGA\n+2djY+Ob3/wmIeTu3bs7Ozvnzp3DJ8BEysvLt7a2EPKg1WrVajXecOvWLYRiYtZwWly+fJkauzs7\nO/Pz84QQRBhCwT969Cifz8fANBoN/ra/v39zcxPOITabHYvFYPg6HA6Yhqgg/NxzzxFCvF5vPp+n\nGwRFO5FIiEQi6NepVCoQCEC6P/7442D3hJA33ngDXA/F/bBBDocDNZHr6+t3d3dhvlRWVi4tLWH6\ngUAAwvLNN9+srq7G59CdBLPr7u5GFNzw8DCfz4c1QE2BtbU1BFng99DQEIRoZWUlVJxoNMrhcGAF\nptNpm80GZUKpVMKIqa+vR1Yf+bgNKUKTWCwWZKRUKm1paQHjbmhoEIlEqMLc2NiIiBJILxqTks/n\nMbW9vT3YytevXx8cHMQ5RDtQvDkUCkGqWa3Wq1evIvBPKpWyWKxr165hmtTSwrxw1Kn0VSqVSAqE\nYxg64sOHD/P5PJYIbldCiEKhQH1OHDkIqr6+PlT4JITU1NSEQiFYpS6XCyO0WCzFYhG+XovFsrS0\n9JWvfIUQ4na7cd+LxeLZs2ehQOzs7Ny9e7ckwP5YKvnASlSiEpWoRJ9KKkGIj5S+8Y1vACVD/W9C\nCMqcw0Tg8Xg+nw8amUgkAviAzvRw0sRisbKyMtqpFsod4suhiTc0NIyNjSE6Ua1Ww3sxOTlZW1sL\nt0c4HJ6ZmYGarFKpgPvX1tbS2CpCSF9fH+wn9M8khGSz2dXVVVpcg5pKFRUV0PrFYjHFdqanp3t7\ne2H88fl8uFVUKlWhUMAsXnzxxY6ODiBFYrEYvsDy8vLl5WUaFUYbxGg0GprBplaroQVns1l8t7e3\nd35+nsYuulwueFa0Wi3sFYlEwmAwaPwYbWk/OTmJv9JoNLR00ObmJlKysNQwxW7dutXd3Q2LpLy8\nPBKJwEn5wgsvfPDBB+RjTxJt5unz+WA7/mE/34qKCiwOelRiDPl8Hub4yspKS0sLALGHDx8eOnSI\nGli0KwqtYeFwODQaDaBUdIPE1ILBIIxL1FDG4NPpNCw/vV4vFoth2LFYLPRYQd1nfGt2dvbo0aMw\nTUQiEW0+4nQ6MXcul0vLmGm1Wlg5dXV16XSaWiQikQgDm5mZgd8LkX74rlKpjMfj2G6dTgc79Zln\nnhEIBDBwd3d3UbGaEHLkyBHsu0ajmZ6exsCqq6tTqRTOIQoNY+65XA55gSKRiMViwUxcWlpCtSqp\nVIoBEELMZnMoFILBJxaLYQWiIBYchHt7e+FwGKdLKpVSKMLlcuE+hkIhIPOoxA0Y+e7du/X19bi5\niUQCq1dTU3Py5EkY9w0NDTMzM7Dd7XY7XmswGFZXV7/xjW8QQm7evGmxWJC8WKJPTiUB9kipu7sb\njLuxsRE4QzAY1Gq1cEePjY2l02m4mh4+fAheDMZEe5zX1tYihHpnZ4c2hWpoaMANn56e5vF44JXr\n6+twCOGmge0ePnx4fn4eD0xNTYFHMBiMrq4u3Lrl5eVwOAx2nM/nwSNSqdTZs2dRJSiXy4XDYQB0\n09PT4CYmkymdTkOqud1u/CCEoPUG/koikcBhEwgELBYLDt7q6ioerq6uXl5eBpyFprfwzzEYDPzj\n3t7e2toa0NFIJIJFWFtb29raOnPmDCHk9ddfP3PmDCJcFAoFZENVVRWbzYZ749SpU+Pj4+A4tN88\n4hHAZfr6+lZXV2kVR/yQy+Xr6+v4xNWrVw0GA/Ylk8kAdEUUOEAqv9//k5/8BGxxcXERAjuZTHK5\nXPjqNRoNWtETQkKhEPwf0WiUz+dD7Hog5IYAACAASURBVCUSCbFYDB/k6dOnwc2z2eze3h4OCZfL\nzefzCEvp6OjA+m9tbbW1tcHNUywWGQwGRIJEInnjjTcIISKR6PTp0/CBHTt2DPE4ly9f3tjYANtl\nMBi7u7uQl1tbW1j84eHhRCIBdWd3d1cul9PAFigogUAgGAxikB0dHclkEvsSDoehaojF4tHRUYhe\n8nFWAyFEJpPRFCuNRoPYei6XS12/LpcL2RFvvfVWNpulCgSTycQYzGYzBd6z2SwW5OzZsw8fPsRu\nMpnMH/3oR+Tj8l0YgNls3t3dxW3S6XSYeywWO3bsGPDtWCz25S9/GeJ5dXUVqkYgELh79y5uUz6f\nh+oTjUYpIp3JZAqFAkYOGUkIKRQKdXV1mGZVVVU6ncbIDx8+/P3vfx8j1+v1AKIdDsfg4ODTTz/9\nv3COEv3PVIIQS1SiEpWoRJ9KKllgj5SefPJJwHoSiYSWH21vb0fEfDwer6urQ3RisViEQicSifL5\nPFARqVT6hS98AfosYjcIIe3t7eihhwdSqRSSTO/evQtNc3NzkxY439jYqKmpQRCB0WikABSPx0Oc\n/fb2tlKpRMicWq2GzRQMBtHUihDC5/PX1tYQTOF0OvEthPJDn00mk8lkEoUwCCFQMIeHh+12OxTt\n8fHxbDaL4I6BgQHAhjB3ABtms9m+vj7o1zqdDso+uo51d3cTQmKxGOIRYB8AJRMKhaFQCNNks9kU\nS6Qe/q6uLrjrMWWYYgwGA1nAeK3BYEAoytWrV4FKra2tofEjIYTFYuVyOYTUAzUlH3fmxe+vf/3r\n6GdGCNnZ2aH50YFAACup0WiSySQWqrq6msaR7u7uwupFKAoF6PAqlKjAJ2AP4WxEIhGMPBKJIFqP\nEJLP5/V6PYy8zc1NXPCenh6n04liE0888QTWOZ1OP/PMMwBCR0ZGNjc3sWu0oq7NZhsaGgLeZbFY\n6PImEgkYGXK5vKGhAXtnt9tbWlqwqnfu3AEi/f777+NbhJBwOHzt2jUcM5fLhbMnEAja2tpgxyDC\nCMbu1NQUAlhWVlYOHTqEcIxCoZDNZrEO/f391EQeHR1FSj6QBtygDz74gEYe0sLzUqlULBYjPKei\nogIB92iujWnyeLxkMontLisro0fLaDTSciGPP/44IeTBgwcqlQrW56FDhxgMBlby2LFjOG8I4MRt\n3d/fNxqNACFpNWH0wISJFolEXC7Xt7/97f+Fc5Tof6ZSFOIjpdXVVWTzbG9vg90gLR9wVldXl8Ph\noFwekJHRaNza2vriF79ICPH7/ZOTk7jh+E0IWV5eNpvNgBBbWlo2NjbAMtCalhDC4XA2NzcRsqXX\n62dmZvA5LpeLHxKJJJPJgLutr68fP34cf5jL5eAfqqysvHz5MlhwMpns7u5G4J9AIKAoZTabhUD1\n+/3t7e14W3t7O6Kl33nnnaamJqA0kAd4Wy6Xw4+pqSk04cUnfvGLXyDWnMlkAnyTyWRo+4kHELP3\n4MGD1dVVsACpVFpTUwOOw+fzwY+sVqvNZsM033rrrVOnTuEBt9sNCLetrQ19fvEJrVYLXkkrcRgM\nBp/PB3GoUCiy2SzY04ULF1ATr1gs9vb2gpmiFAWEazqdxiCZTGZFRQV0gmAwqFKpIMAcDgfkkFwu\nP3bsGFQQtIQGeub1eiFRxGLx6uoq3JxwzOBzQqEQMpLBYIyPjyN+FcAm1IJUKgUxXCgUUEySEHLr\n1i2IvWg0+k//9E9Yh/X1dThTCSHV1dWYO5vNjkQiGK3JZKKJGRwOB4tgs9lu3LgBeaDVavl8/u9/\n/3tCSCwWozmIHo8H/3jixAmLxYLDScG3+fl5p9MJLn/27FmhUAjhIRQKAT63tra6XC5oFWgqDcnn\ncDgwhvn5+crKSizI2tqaQqGAm5nWM2xpaQkEApgaj8ejJWPQMhvnH/uI14rFYhz7XC4HwH9ra8vp\ndKJCfzweBwBbLBbX19dxnO7cuROJRKDVxWIxaHU2m+38+fP4q2KxuLu7SzsHIcejqqoKmD/2GiGR\nJfqjqCTAHimxWCzcDRoNXCgUEDlNPs5XRZxxJpOBbFhdXU2lUnCr8Pl8g8FAEzxxH9DGCf4wt9uN\nzCdCSDweB+Pe29vT6XTIvuTxeNlsFvG+q6urNGuHJmYh5AFqu0AgAMNC7Sjoj0tLS4VCAXyTppT1\n9fWhzzIh5OTJk5FIBD78lZWVK1euEELOnj27vb0N3Rl3Hsy9vb0d0SV6vd5isSBiu6mpyWQyYWzU\nFxWNRjs7O2EFCoVCSNCTJ0++9tpr8Mnv7u46nU6o7U6nE6oxFGesg8FgQL8oQsj6+joc9R6PZ29v\nD+UWkYINcWgymRAGgjgIWF3Xrl2rrq5GzEIymYRPXiaT7e/vYy9gy+LfL168iE2RyWS0B9ve3l4k\nEoFQobluuVwunU6Dqe3t7RUKBVjnvb290FHi8XhFRQXe4Pf7Dw4O4DBjMpk4RU1NTUqlErloX/jC\nFwKBAISoWq2G+C8vL7dardCNDg4OIDgtFguXy/2v//ovQsjXvva1dDoNH9gHH3wAYYnSz5jF5uam\nQqGgpgMOwPb2tsFgwCFRKpVLS0vgwuPj49i+VColk8mwQefPnxcIBBjDxsYGAv0xNnzi9u3b//AP\n/wDxw+Vy8QBMIsgYVMvE6eVwOLhKtbW1RqMRQoXL5U5OTuJEJRIJiB+pVLq1tYUzEA6HkXmGY48H\nzGYzspLxBjabjb0wGo04q+iKgtPb3t6O+S4tLQ0ODuKQWK1Wuiatra1wQAoEgoaGBjxgsVjKy8sh\neoVCIY3Pqqurw5Fubm6+ePEiFJcSfXIq+cBKVKISlahEn0oqWWCPlOrq6mhHZmh/IpGIw+FA0UNe\nKiAUvV6Pf2Sz2X19fYCSZmdnGxsboeCvra0Bsjs4OHC73bQtZHNzM0qY9/f3o6fwiRMnJiYmYCqh\nVTEt9EAr4tNC4yhGBTPF7/fD8uvo6JBKpfgcvDhQFUOhEP4KsAysonQ6TUtbVVVVAee5ePHi008/\njazP1tbW/f39v/zLvySE3L59GxroSy+99P3vfx9z53A4wWAQCyUWi6G38vl8n8+HdWCxWFic7e3t\nkZERKNRut5uic5lMBoV/FhYWTp48Cd15bW1Nr9fDQUKtTK1WSx1yDAaD9heemJiApm+324vFIt4w\nMDCwvr4OeO306dOw1Ww228TEBMwFo9HodDqxFwaDAbba8PAwrZxktVo5HA4iA5uamgC+8fn8dDoN\nyKusrKy9vR3hguvr6zBJRSIRg8GAJSqTyaRSKexpmkiOwsEAYGEuY7O0Wi2svVwuRzud6vV62GdS\nqZQ2b0TNCNhzIpEIy7iysoIMdOzagwcPaHUY2IiDg4MHBwewPufm5hYXF/HdVCqFUL1sNptKpWDc\ndHd3r66uIlzTYDBgOjqdbnt7G/uuUqkAchJCBAIBNmVxcTESiSCeE7n5mOb8/DzsRVTZwBgQLojZ\nlZeXw8jGdcBCnTt3bnl5GXDigwcP4FK9evUqMjcIIR6Px2QyYTyZTAY3hcvlhsNhjKe7uxugH44c\nDobf7x8aGsJ5aG1thYH14MGDfD5PG02gbDSmBoC9vr5+bGwMn1heXka9khL9UVQK4nik9Pd///e4\nwFqtFiWjnnvuubt37wKUAI6HGPeFhQUwr+7ubpvNBue5Wq2mEcOf//zn0Zkik8nw+fzHHnuMEHLn\nzp1wOIyrKJVKAWVcv35dLBbjzszPzwOOJ4QolUrcqFQqFY1GERm/sbFBHRXvvPMOnAR1dXUCgQBH\npVAoPPHEE9/97ncJIS0tLXiVzWarrq5G8HdVVRUNc0f9J0KIXq+nVYtcLpff7//e975HCLlw4QJ4\nFsQqpF0kEpmbm4PTjrZ4t1qttP9LOp3Gk2VlZYlEAiKQzWaXl5cD/EHlHnyrra0Ncx8ZGfnZz34G\ndszj8cCPEK8PkTM7O3vmzJl33nmHENLU1AR8j8PhmEwmtFBhsViFQgGCTSaT0Up6tHUAajdQjBSB\nAywWa21tDQJ1ZmamqqoKKFlHRwe+K5fLRSIRdrO2tjadTiNj4ciRI3gth8MRCATglbFYTK1WA6DT\n6XSoJGkwGA4fPoyFqqmpWV1dxR9KJBJsylNPPTU1NYXdFIvFOG+BQKCqqgrOuTt37rz66qt4wOv1\nYpVCoZBEIoEompqaGhgYwANzc3OIxfB6vbFYDAydz+dbrVaMYX9/n6ZYjY+PAwxfXl62WCy0ahdu\nhEgkSiQSOLF+v99isaDp86VLl772ta+Rj6OKAJlyOJzR0VFoNrREPQJ5oKu99NJLa2trUEFoNkgu\nl2tubqa4n0KhQFGo9fV1LGmhUFCpVAjoaG9vF4lEkHknT57E6T137pzb7QYYa7FY6CotLi4CEb13\n7953vvMd3KbKykocSLVazePxIAtFIpHT6URW5d27d+EY4/P5FJkfGxtbWVnBtSrRJ6cShFiiEpWo\nRCX6VFLJAnukdOjQIRhYRqMRZoFer7937x71jdMI5mPHjgGqgnMYAW9+v5+G0ft8PuB4r7322uDg\nICKGgbBBnx0bG4OavLCwQAteFIvF2dlZPKxWqz/zmc8QQh48eJDL5QBh1dfXm81m2BBoRkwIWVtb\nO3PmDKC8YDCYTqehhD58+BAgZE1NzdraGt7g8XiGhoZQMhwNpQghUqm0p6cHCFVFRQXtADk6Ogrd\nGR51nMb29vbbt29j+iaTCejQ0tISn8/Hd2UyGRTb9vb2zc1NPID6ijCb0EIag7FarfgEg8FobW2F\nNTAzM0Mxvfn5eSj4KJOPT1y7dg0j7OzsDAaDMFP6+/srKioQoimTyYDK7u7uoq0w+bh+B+L+/X4/\nFmRoaGhpaQnrgDINWIfOzk4Y2ajlTyNctFot3kxNgfLy8s7Ozg8//JAQkslkampqEBbhdDqBjK2t\nrSmVStqWMxKJYB0UCgXCT3K5XDQapdGnWD0EVeIfKysr/+M//uMf//EfCSF1dXU4pVKpNJ1Oo0hg\nJBIRCoU0zwFr7na71Wo1ljQcDhuNRgRx2O12wHfXr1/3er2YRSQSoSGaAwMDWIRYLBaJRBCJ6vP5\njhw5goU6duwYzjyDwWhsbERQCYfD2dnZ+fWvf00IefbZZ4FMLi8vb2xsALJ+++23Ua0GswNKyeFw\nuFwuLOBYLDY2NkavG5DJTCYDoJIQIhQKUWCTEEKN2r29vaqqKsSJAIIGqVQqnJzm5uYjR44AoY3F\nYoBtUagXll93d3c4HEYUbmNjI8JMqqure3t76SnK5/OokFKiT04lAfZI6XOf+xwwrkuXLgEEq6ur\n+93vfgeE8PDhwzweDzwiGo2iJeBf//VfHz9+HPKAw+EoFAo4qGhtobW1tZGREVqiPhgMgl+vrKwA\naOrv72ez2YCSisWiSCSCs0oul4Oz1NbWCgQCgIHIPaKl64GKEELy+Tx8DzqdjsPhQLA5nU4Eu7PZ\n7IsXL4JxbGxsmM1mCLZUKoW/QmkMOE5yudwPfvADDNLn86HQO1raI8dgcXGRz+cD4otEInBUJBKJ\nqqoqcJZIJAIGigY0tG7s3t4eZEZVVRU8CpFIZH5+HlxVo9FQdxePxwMnSqfTFRUVQLRyuVwsFoOs\nslqtgIy8Xu+TTz6JPDy5XM7lctE55cGDB9gIeLAg7ZADB+/mjRs3gHFls9mysjIoDWVlZWazGQlD\nfX19WEb8X4CumUyGy+WCw+7s7OBbXq/X7XZDgSgvL19aWoJ0l8vlYKA+ny8cDtPQwUQigXXo6OgA\nVxWJRGNjY3AWZjIZhNHzeLypqSnMQq1Wr6+v/5//838IIa+99hpg0vb2dp1Oh4EFAoFIJAKpLxAI\ngBD29/dfunQJClNdXV2hUMCq0v7dExMTc3Nz+N3Z2Tk6Ooqj1dXVhfIoHR0dtFoVh8MJhUKAEH/6\n058iGe7kyZMejwenaGdnR6/X42GpVIo1d7vdr7zyyj//8z8TQoxGo8vlouoIji5qekGB4/F4LpcL\nx+zBgwfgfr29vZlMBpIV6w8nmc/no01NW1tbcbzHxsZoLbdQKAQpq1Kptre3sVm02FssFhseHkaK\nZyqVGhkZAXSsVquxpG63u7W1FQcD+RVoWV6iT06lII5HSsFgEFD7008/DVeWRCLRarWQaltbWxUV\nFdArVSoVCqNtbW1NTk6C08HdBST99u3b4KqNjY3b29vgC4VCgXYrHhwcBAv2+XxmsxnXHh4L/LtQ\nKITFls/nRSIR3ub3+2UyGcRPWVkZmIhKpTIYDDAZ7927d/bsWbBCnU6HdONsNmswGOBy6Onpeeut\nt+BEofUVnU5nc3MzplkoFBwOB/xhr7zyCuICCCEdHR3gMmw2e2ho6K233iKEGAwG3HCZTHbz5k3w\nC4fDgaI7b7/9ttFohLFlt9v7+/tpcgJEnVwup2nIc3NzQ0NDWF6HwwEmsr+/LxaL8Qk+ny+Xy8H6\n+Xw+qqHv7u6ePn0ao93a2jp69ChEoEwmgx6AaeJthULB4/HArvL7/bQrB62cxGKx8H/xMPijw+Gw\nWq3Yi/Pnzx89ehR5aQwGAz/S6bTFYgFHnpiY6OzshNFD2xOXlZXt7+/j4aampp2dHRQkW1xchDWw\nsLAwNDSE5U2n09Aeurq6dDodNmVqaqqqqgrip6urC6dlaWkpFothSZubmxsaGjDlbDYL/eDixYsK\nhQKSlcFgTE5OQlegFarUanVjYyPeNjk5KZPJMHKoU4QQsViMNESsw7e+9S00EvP5fLACM5mM3W4H\nJFBfX2+326nOBJVLJBIdPXoU9eO5XK5QKMQOikQiKEwjIyMPHjzAA8FgsLGxEReEZhnb7XaFQkE7\np+h0OlpuEQFTqVQql8vhLmSzWWyly+U6cuQIzuHS0tLIyAj0kp2dHRqOce3aNWxrLpfb3d1FtTYO\nh4NMGOSbY1MUCgV0ghL9UVTygZWoRCUqUYk+lVSywB4ptbS0AJ2gBb9//vOfd3R0wCxgs9k6nQ6G\nTqFQgEpoMBhoUJ9YLFYoFIhjzOVyUMD9fr/VagVahWxT2oYKOmwgEHA6nVCTEX0Hk4XP50MVlUgk\nEomEVn93u91AbPb29qC/83g82Df4x5WVFeBOwWAQsNXOzk4+n8fAMpmMWCzGjPL5PAbJYrEuXLiA\neiKDg4Mmkwk6eG9vLyy/QqEwNTUF8M3pdP72t7+FdSIWi+FS4nK5brcbCn4ikYD9ajabNzY24LU6\nfPhwVVUVYJy33noLr0qn0+vr68CUzGbz+fPnAR+JxWLEzkml0o2NDax5f3//rVu3ACVRK1Ov16+t\nrcGUNJlMiCwnhLS1taFwsMFg4HA4+N3e3v7w4UP4JlksFi3kevv2bSj14XD4yJEjWNVisQgTIRAI\nIN6PEKJQKO7fv4+56/V62u0zkUjQKsNcLhfgcDAYhIslmUz29/fDCocfDsjh6uoq7Daj0chkMmG7\nvPnmm6iJ/Mtf/nJwcBAwclNTU7FYfP755wkhL730EnBUi8Wi0+mw1OXl5RwOB8ZNsVjEt/r7+3O5\nHILukslkR0cH6olwOByc87KyspWVFZxkNpuNcl9/eCP29vZ8Ph8269q1azqdDvDm6uoq4MpoNMrj\n8WAmCoXCqqoq2HM4loSQSCTC4XAQy4cIUhBAC0LI0tISh8PBgJVKpVAopMg5DieaWNKYUrVaDfOx\noqICl3Rraysej+OYuVwufNdoNJrNZhj3uVxuZ2cHY9jZ2cHhz2azFRUVuHcDAwNutxu5FjabDa/S\naDR+vx9TOzg4AOxRoj+KSj6wR0otLS1gf1arFSwGfnIwLK/Xq9Vq4d1BG2X8SVtbG+pZoOgAeDRK\nNhBC5HL5rVu3UPkiGo3u7++Dy9OWmLlcbm9vDwxlZmaGdtBwOp0otj07O1tfXw/HclNTk0AggAjU\narWAj7q6uuLxOO0bKRKJfvaznxFCjh49ivtZWVl54cIF1LgSiUTl5eW0NSLYbjwep3XEX3/99StX\nroA9/fjHP0Y8wtLSUnl5OXiTQCBoamoCzjkzM4MKPaurqxUVFYDvAoEAghdQdQneFNQ6QvCCy+XC\n3IvFolAoBNbEYDDq6urAs+bm5sDg6uvradfB9957TyAQgLlrNBpsRGVl5fj4OLz9S0tLXV1dYMdy\nuZzWtZJKpRB7SqXSbrdjea1WK37s7u42NjZCTqN2CXgWIQTTMZvNtHOKSqU6f/48Ig4MBgMCFhob\nG2n7gv7+/ldeeQXKRLFYREJYNptVq9U4A16vd3R0FIHadrud1n7MZDLg0bQ6VD6fFwqFGMPw8HAy\nmcQhefHFF//93/+dEPLMM890dHRANptMpjNnzkBWNTQ04PROTk62tbVhW3k83vr6OiqhvPvuu4iq\nqKuru3nzJpYXIfs0tQDHSaVStbW1oaXI0NBQoVAApBaNRiGbUQiKQohAIAkhFCoXi8UCgQAphn/x\nF3+hVquxQdFoFG7mVCqFrSSE+Hy+vr4+eJRVKhWkmsFgQFF8Qsji4iJ1M3u9XmCber3e5/PhcywW\nCyJWrVZzOBx4rf4f9t4suM3rPB8/WIl9JUCAWEgQXASCOymSEilSuyxZjuW4sWt5SZ24TrO4bnKR\ntJ122otmMmkybZq1iZ3UibfEURzLlCyJkkmLkiVx31eQBEkQC7ERBAiA2P8Xz/hMpv+2Y/8uNOMZ\nnAsNhgK+73znnO993+d5NzTXhr3IZrOxSslkEs0H8MeVlRXaLhy0+erqKm3B6vP5ioqK8j6wTzry\nCOy+DpPJBLVEnbcsFiscDuMFO3PmzNjYGHwAbrcb4WHhcPhf//Vf0aq1s7PTZrPBvtvd3aXlo7q6\nuvDScjicgoICfDYYDPRFikaj0EmZTKa9vR0UvE6ng/grLy93OByQ0SMjI93d3UjW8Xg8MDZtNptU\nKoW+hLhH+CJNIF1dXT1y5AiM63A4zGQy4WVhsVi0KUxRURFgIvJS0SdMIpFADSBRGijE4/FEIhG8\n7TU1NbD6RSLRjRs3IFlKS0shand2dt58803IZQQO0KYkqMH4wx/+UCqVwifBZrPFYjGC/WpqaqCw\n0+n02toa7tXZ2SmRSGiTFAgsJpMpFAqh7cLh8Pj4OHawoaEBKmd0dNRoNEIUqlSqlpYWRN8kEgno\n49bW1rt378IXEgwGjx07Bv+cx+MBHHz33XcBochH2bVY/9LSUiTnbW9v07qxyWTygQcewA5SFyMQ\nzxtvvEEIOXDgQEVFBbCdXq/HzJlMpsfjwYQjkQiOll6vZ7FYMHcGBwfRmJsQ8p3vfAeoa2VlZX19\nHXGMOp1uaWkJ5kgymYRGKSsr29zcpKW8jhw5givL5XLgCQaDUV5eDu8R4mmh+Wgnue9+97sI4SOE\nBAKBlZUVnMkzZ85A/cfjcZPJBBuFzWajFhdujcO5u7vL4XAoTM9ms3SzMEmE+SCtUKFQ2Gw22G3T\n09PY97KyMrfbTRGbRCKB9k0kElCieH3wBYVCgcim48ePq9VqgCqDwWC1Wm/dukUIKSgowIFsbm72\ner1YsaGhodbWVno4EQ/C5XKFQiEeRyaTwQbKj0808j6w/MiP/MiP/PhUjjwCu68D9c4JIYuLi/gQ\nj8dpNJTH41EqlQhTrK2tRVBZaWnpsWPHYI2OjY2xWCxgl+3tbZSgXV1dZbPZICUYDEYkEoFF7HA4\nYD9KJJJsNgugE4/HX375Zeo0gvXHYDBqa2sRHVddXb26ukqDswGq2tvbd3Z2gIRaW1tnZmYAgPR6\nPQzty5cvl5aWImI4mUwGg0Eaygy/y8TEBC0FizqttDswKlAwmcxcLgeYsrKyQvm3tbU1eIwGBwcr\nKipwNb/fD/ChUCiYTCZYmvn5eep7SyQSoIkOHjw4NTUFjisajXq9XjA2LS0tABlDQ0Obm5tAvR0d\nHWazGYbwyMgIsOPdu3fn5+exDi0tLbgLdhB29NzcnFAoBHW5vLwsFArBmDGZTCCenZ0dvV6PL/j9\nfqfTCWSs0+l++ctfEkJefPHFK1eu4Dzs7u4ODg7Cs3jlyhV0Cbl9+/ba2hqWOhgMhkIhoLEnnngC\nk7l+/XokEgHfhUBwhLT9aSHj7e1trLlOp0O0YSaTgYeJENLW1kYbH9+9exeI/8aNG7ShZV1d3aVL\nl+CT8/l8wE+PPvroxYsX4TAzm81erxfJalqtFpNBj1Da3MBisYDOZTKZYEePHTu2t7cHzIoy8GhW\n8sc//hHIj81m+3w+sKNer1er1eLQOhwOHGlkQQA7JpPJ+fl5gGwGgwG8jlLLmIPH4+HxeH19fZgk\nSL/x8fGWlhZaXLiwsBBfFgqFIDkYDIbT6QSeNplMAPcikQj+UZyW7e1tkLFHjx7FqzQ+Pm61WgHm\nmpubDQYDgHV9fT2+iTeUEo/4kB+faOQV2H0daH9OCLHb7WCovF6vUCgEq47UFlBbm5ubIDpqamqu\nX78OqWo0GgsLC+FeeuCBByiDVFBQAPItEokEAgHwLRaLBVJGJBIFg0Gag0W5vps3b0Jo8ng8Pp8P\n4ZVOp4PBIK5Gc4Bu3rxZX1+PkkK9vb0rKyvgnXBNQkhjYyObzYZYPHbsWDqdRiDD+++/D62WSCR2\nd3cfeeQRQsjg4CBt3ZtKpUDjgM+EJ6O5uXllZQWSNx6Pw/cTi8UYDAbU0u7uLnSDVqvt6upCFXaR\nSOTz+bC8aFJDCJFKpceOHYM0v3Xr1tmzZ/GFkZERTKC2tvby5cvQrB6PJxaLIXajuroaNgF8Nvh3\nfX2dNhKbmZmBsjxw4IBMJoPKQdto6naC8GppaVGr1fhVSUmJ0+mEhFWr1TBBXn31VYPB8MorrxBC\n6uvrOzs7cQaEQiEcgc3NzT09PVDky8vLZrMZAp12rpJKpZWVldBqLpfryJEjEMdyuRyKU6lUer1e\nGh0Obi0YDPL5fPjDbt++/dnPfhZngBaVHxkZSSaTOE47Ozvnz5+Hg2p5eRn5DKlUiha8N5vNd+7c\nQY4HPaVjY2OJRAJL6vF47HY7AN5xKQAAIABJREFUHvncuXOI6EG/bBzvbDYrlUqRLHXu3DlMsr+/\nX6fTYSVramrm5uaw3ceOHUOC4N7eXiKRwIRpZSycBxqGMz09DT3tdrsRaoHPKMCmVCrRAgIrCe1C\nCLFarZcuXSKEKBQKBoMBu7CkpITSxb/+9a/hUlWr1QKBAM9OW6XLZLKRkREUEwiFQmVlZdCLy8vL\nNCZLpVJhU6ampnBi8+MTjTyFmB/5kR/5kR+fypGPQryv42//9m8BMtxuNxzXS0tLcrkcFvf58+eT\nySRcwY888gjt5apQKGhnI9oLihAC23nfvn1sNhts4draGpfLBWQhhMBUrKurSyQSP/3pTwkhKpVK\nKBSC9ygpKYGpuLGxIRaLgSdQWBb2+1NPPYWoaI/Hs7y8jAAzpVIZDocxN51OB/zEZrP7+vqQee1w\nOJRKJezKS5cuIeJOo9F8+OGHsGe9Xm8ymQQK/I//+A+gPT6fTzm3qakpNpuNxxSJRIhN+Mu//Eud\nTgdjf3JyEnZ0W1vbK6+8gkgHl8vl9/tp0BeoKkAfZJhqtVqj0Qg8UVxcDKPeaDQ+9NBDeIqJiYny\n8nIsWjabBcCVSCTJZBKTlMlkCE7BF8DEVldXy2QyFNV9/PHHaedPNpuNDaL8FSGkubk5FovRkkIA\neehnjdshJBUW+vb2NjZi//79NIgGJwSP73a7EXrz+9//3mg0njt3jhBy4cKF8vJyhEKoVCpMcnFx\n0Wg0Yj67u7vALjabTafTgQ2+dOnS2bNnAVlmZ2dp7+Cf/OQnCCUHmqePhr2emZnZ2dlBdINKpXrn\nnXcQijI/P08LW1y5cgUosKamRqPRfOMb3yCEmM1mYMdIJDI0NIR84erqapVKhfWnISdOp7O2thbg\nUiwWT05OglYlhLzzzjuEkKNHj0YiEfBvZWVlRUVFON4KhYIW0qWlxdDWC3OjPfAOHjw4NDSEp/D7\n/QBShBC73Q7kDXD/xS9+kRDC5XKxINhfgPuioqLa2lrsMrYJv6qrq0M+Porro+Mon8/Hi1BbW0ur\n8iN0CMxtfnz8kacQ7+tYXV0F5yCVSsFp7N+/f29vD/rp/fff12g0iLdeWFiAuBGJROvr6/A/HTly\nxOVy4T05deoUXhX4NsApofgTyLfa2lpokT/+8Y9LS0uIq97Y2KB0osPhQMh4cXExGkYQQthsdjqd\nBkH029/+FlK1s7OzpqYGmrWmpobBYEBHPv/885DFgUAAzjNCyLlz5y5fvowgaRSIIoRYLJaTJ0/i\n2be2tnw+H/oo6vV6KG+5XH769Onf/e535KMmKWCrioqKUFQC3hpcrbm5Ga+9zWZramqCVquqqjKZ\nTFjJ6elpSJk7d+7o9XqkN/X09NCKDO+99x7caXt7ew6HA+X+IpGIw+GAjM5kMlCBRUVFbDYbm+Vw\nOPh8PtxOtMjWvXv3PB4P+J/BwUGv14srwPWI5z1w4AA8mrOzs0KhEL/FI5CPlDe4TTTgBotVVFSE\ngiZyubyvrw8S1mg01tbW4soKhQKq9/HHH5dIJDTdamJiAltcVFQEyo7D4YhEItTUP336NHjdoqIi\nt9t94cIFQojVauXxeOD9aJUytVr9mc98Bklya2tr58+fRwaVWq3G4wiFwng8jjNQV1fX2tqK+WQy\nGRB9KpWKxWIhK+CLX/xid3c39NPW1haUdzQaPXjwINhCrVZ7+/ZtcG6BQACuRLVaTRlLJpNJ1cPA\nwADUnkQiiUajtI/24OAgjHKj0QgvplwuZzAY2JSFhYXy8nL459bX17E409PTTCYTBLjJZGKz2bAb\nFAoFthXdD8D5t7a2QqupVCq/3w/7rLy8fGhoCGkk4XAY1kxdXZ3NZgPxeODAgR//+Mf48ubmJjJh\nWCzW9vY2dorFYlGPQH58/JFHYPd11NXVIZxXJBJBJ7HZ7OLiYryr2Wx2Y2MDO6LVahHdoFarjUYj\npJtGo2lvb0cIAHVv8Pl8q9WKFxi1lPD6IbuIfJQ8C8c1oA/Ah1wuh5xisVgVFRWYz+7ubnNzM+Qj\njaTo6ekpLS0FXNPr9Xq9Hk3itVotXj+RSFRTUwPhMjExcfbsWVy5vr4eMtHj8QiFwr/5m78hhCgU\nij/84Q94Oto5XqFQsFgsmMYGg8Fut8MmLSwsxC10Oh2tiRePxzHbqqqqmZkZoBBoDioFAEEqKyv7\n+vqgAkOhEIPBQEh3Z2cnDOqpqam1tTXEJqjV6mw2C6gRCoUA7G7cuEFbXvF4vMbGRohgLpcLzBoO\nh9vb26Fux8bG1Go1YgfC4TAEJTAKjInq6urf//73UGCRSATb2tHRkc1mgRtkMlkmk8FS53I5iDyE\na0PqIc8M/rA33ngDX2CxWA6HA+EPU1NTtC5iLBbDFyYmJpqamqAn3G43YNnMzMyzzz6Lhcpms3Nz\nc5DX586dw67V1dW53W6asZdIJP40LRerVFpaCg0Xj8cLCwsx86GhIZzStra25eXl73//+4QQDoeD\n3tOYA3SzWCy+fv060HZRURFqZhJC8C8hJBAIRCIRQFKhUJjJZBDp43K5QA+cOHFifX0dKv/06dMF\nBQUIqWexWACUFy9eVCqV0Kw8Hs/pdOIzk8nEKikUilAohPXXarV0DuhehNXTarVIHTl+/DiiWl55\n5ZXm5ma8a7W1tRS2lpWV4cSOjIxUVlbCuiotLY3FYrisy+XCxM6dOzcwMIAF8fl8Fovl8ccf/7/E\nR378/0beB5Yf+ZEf+ZEfn8qRR2D3dZw4cQIQobCwEKxUNpttamp6++23yUd1d1AelMvlIlxep9Pd\nunXr4YcfJoTU1dXxeDwwdRaLBe40q9UaCoVgKhYUFDQ1NYGEHBsbA/IYGBjweDzwAfT19bndbiCz\nEydOoMjCQw89lM1mYUdjevCR0MRVt9tdXFwMbsfv9+/u7tKYLlCXLpcrGo2i8EEoFOLz+bQoFAjP\nRCLx4IMPotD4+vr697//fYQp/td//Re8d3a7/bnnngP30tHRwWazwdgkEgngxVOnTqHlBNYBE/P7\n/V1dXbTAPIvFAuhxuVyAArFYzGKxwCKen5/ncDhYB0AQQsjx48edTifgIIvFgjFOCNne3obPj8Fg\nBINBZBzfu3dvfX0dj1ZXV4c6+ufPn0foJiHk5s2bLS0tuDUhBKFxN2/epLgwnU5LJBKEWXd0dAC3\nsVgsmUwGNxvwAc1SAPIzmUz37t1DHGM6nb5x4wZcPnw+H8sbCoUOHToE2vaDDz5oa2vDLRD0iA8e\njwdxpGKxGPg1k8mAECaEzM7OLiws0J4j2OtwOEx3UKPRXLlyhdJ6tJZ/JBKBOzObzVZWVgKeMhgM\n2oW5oqICePG9996LRCJw1M3NzYE/KC4uLisrA+l969atqqoqIOCNjQ2sM4PBuH79Oghwo9EYDoeB\nnwoKCnBfr9fb0tKCA8lkMnU6HbzLdrsd4JLJZJaVlQFHrq+vz8zM4GWpq6sDp51OpxcWFjAfJpOp\nVqtx9mhb1MbGRlojg9a1yuVyDAYDzjncgtaywR8LCwtnZ2eBHXO53Ojo6HPPPYc5ACP29fWl02mc\njZmZmerq6q997Wv/o9zIj/9t5BXYfR20bDaTyYTwEolEBoMBL0xxcXEymQT5tn//fkhVVMQBdcbh\ncM6cOQPfjM/nAyvV2Ni4vr6OVxGh0nCWzM/PQ1HF43Gfz4ernT59ur+/H2RUX18fLXYgFArxVmcy\nGYlEAlm5sLAAPfH8889/8MEH4NkkEsnm5iakrVQqhaBsbW2NRCL4cjQaVSqVoHeOHDmCSV6+fPnC\nhQvQrO+9997AwABYlJGREcjoSCTS3t6ON99gMFCaRaVS9fT0EELKy8v39vaQbxCLxXApBoOxs7MD\nGd3V1bWxsQFxTLtjaDSaQCAA/0cymcxkMlAqhYWF4NNMJtPa2hq8/bu7u+FwGJ1ERkZGIChRNgnk\nD+oQYi9CoRBYsvb29uHhYcy2vLx8aWkJ2gVpZ4SQ5ubmkZER6IZbt25JJBKknS0uLkKzgjNEb9+B\ngQGr1QqzgH6hoqJCKpUifsTlcimVSmx3KpWCjZLJZF566SVEPQiFwoqKCkx43759OGYej8doNMJG\nUSgUcMx88MEHtPZgPB632WzwKiE/jBCC9EEwokql8r333sOqVldXI+9KKBTa7XZkBfD5fIVCgcWx\nWq3wWsG2QHJYV1fX/Pw8JqnT6aDm/X7//v37Ybg4HI6WlhbK78Eestvtbrcb242CT1jJra0tHMh0\nOi2Xy+GH+9KXvoSsL2w3zj+TySwqKsL5P3ToEDWD6EB1UGjZ+fl59EbBf0G7nDlzpqioCOrfbDbj\nXlC00E9Go1EkEuGyEomE+v/kcjmWOhaLLS0tgfx0u9202dD6+joW6tq1a52dnTQ+JT8+5sgrsPs6\nfvKTnyAKzuv1QkhdvXq1qqoKDm24haEG4CwhhJw/fz6bzUIENzQ02O12qITy8nK81eheiJcZVWqQ\n1HL+/HnkRBsMhkuXLsECvXPnTk1NDYTa2toanDE6na6iogIvpNPp1Gq1sIj5fD6cIij7hvsuLCw4\nHA68lna7Hf4nl8vl8XiA24qLiwcHB+FFk8vlECJOp/M73/kOJPv8/Pzi4iLCMaRSKezWaDQqlUoR\nAPbWW28dO3YMkm5zcxOaRiKRnD17FspMLBbj+uFwWKfTQapGo9FsNgtTwG63Q0nrdLqenh44J1Kp\nVF1dHZyFMpkMzwhNAPsd8AgyF5m/uILf74ezBF+AxAdQI4TEYjGxWIwEtcOHD9NwwaWlJfzKaDT6\n/X7oZqVSWVBQAAA0Njb2wgsvEEI+/PBDi8WCxGqhUAhIQT5KHiIflWNGXuDU1BQNKAgGg9A0bDa7\ntLQUlg1SzmHENDY2Yt8jkcju7i4kbDKZhLL84Q9/+JnPfAZH6+2334b2wkJBaYlEIpvNhsdBjh18\nY4cOHYI+WFtb02q1UGDwM0E0s1gsioCRO0wIqa+vTyaTWOrJyUms/P79+6enp/Er9AMD4DaZTLis\nwWDY2NjASjIYjHg8DgAkl8tBRaBf5b/9278RQq5du7aysoJb1NfX056xNLBzcHBQrVYjVDIQCEDV\nzc/Pr6+v4wvV1dUzMzN4F0pLS2HuQN3iKeij8Xg8JHLhpdDr9Ygt7OjowJpLpdKZmRngSL/fL5VK\ngWWz2SyWdHd3t729HXYJ2rECouXHxx95H1h+5Ed+5Ed+fCpHPoz+vo6enh4YX0qlEh4s2ludEFJY\nWEgj4lBnnRCi0+lQgYYQ4nQ6W1pawJgplUrENGez2draWvhjtFptZ2cnSImVlRVY+k6n02g0wqg8\nd+7cb3/7W8DuU6dOAdwsLS3lcjl8QSwWS6VS/DCRSMCWRIgUAq4ikYhIJAL4o10z4vE47YK4vr4O\nPooQ0tXVBa/JZz/72QMHDoDXun79OgICCSGhUAiG//T0tEwmw69Qhhih3mazmTqHfv3rXwPD3blz\nB6YxAusBExE2Deqyo6MDyzg2NqZUKgFoRkdHl5aWUNuezWaDBPN6vbS+USgU6uvrA40TjUYRL7q6\nuhqNRoF4KioqtFotDP/Z2Vm40/R6PTraEEJEIhGPxwMCoDb7D3/4w3379gH0oI4+HHWdnZ202Acq\npBBClpeXU6kUIuIikQitfF9RUUHrfi0uLoJeGx0dBQL7whe+IBQKaYGogoICOPk2Nzdxi6mpqWAw\niKjxra0toD2FQhEMBrHFjY2NtH/jhx9+iF/ZbDaLxQKYUlxcfOPGDRyYiYkJgAm1Wt3e3o7jhJpe\ngE3oYEII0Wg0xcXFcPlcv3593759IBgsFgsWAal7+OPe3t6BAwdAZXM4HMCyaDTK4XCQFIH1wZcj\nkQjo6+bmZrVajcVBfCZ4BVqfN5VKraysoDBVfX395OQkvnzv3j2g8Pb2doqKxsfHOzo6gA6Hh4cp\nlqINoKmXdGpqisfjgXzW6/VbW1s4WhsbG2AdWCxWJBLB6q2vrz/99NMotsLn83E4VSrV4OAgvlxT\nU5Mnw/4fRp5CvK/jhRdegF9kZWUFIuDMmTN2ux1Uu9vtlsvloDI2NzchH7lcrlQqxdvOYDCOHj0K\nTZNMJsHa37t3z2Aw4Aoul+uxxx77wx/+QAgxm82gCuEYB3Xp8XgEAgFYGnRvIYSwWCwmk4mXubKy\nMpFI0C6xUK7Nzc1arRYkGNJOoZZoCw+89mAFV1dXi4uLwTFubGxAN7S0tDzzzDMQf7u7u1NTU5Ay\nfD7/pZdewqUUCgVcPg8//HAgEEDDMLPZDNIPLWshuLVaLSYQj8fRwIwQIpPJGAwGzUOCip2bm3vg\ngQew5m1tbX6/H8Jrc3MTUnV6etpqtSLi4ObNmzRJvLu7G8ojFouVlJRAVjIYjGg0SiO8IebkcnlB\nQQGUdzwer6+vBykUCAQQCmEyme7cuYOJicVip9MJocbhcLBrqVRKq9WCsSwuLh4YGMDfS0pKoJ9a\nWlrEYjHydo8fP37nzh0IUywCvhAKhWDZzM3NPfTQQ7A2mEwmzRM/ePAgtnVzcxP3slgsdrsdC4WM\nbzB1fX19sGBgZOAKJpPJbrdjg7a3tyE3zpw5IxaL8Whg3qACaYZGPB4vKCiA4gwEAjdv3kSmeTAY\nxPFOJpNGoxECfXFxsaamBodTqVTiRUB7FMzE7/fzeDwstVQqRYxGJpMpLCzEfU+ePPnee+/hajSz\nyuPxPPXUU0j8UCqVqGqGW2MyOBIwOwwGg1QqxaHNZrNgxR9++OFbt27BoBwdHYUVtb29zePxcBii\n0WhlZSXW4c6dOzhOcrn86NGjuG9NTc3CwgLUYXFxMYwntD7H87a2tmazWeRl5sfHH3kKMT/yIz/y\nIz8+lSNPId7X4fF44AY3Go0w6CQSCW27pVAoFhcXYf2hPSMhJBQKeTwehCSo1ere3l7EMUqlUtpP\nORgMIvj+zTffXFhYgIWYyWRo/YL3338flM7t27dTqRRwjFAohEFdVVVVWlpKE5nR4pYQwmazn376\naUJIIBBQKpWoxGEwGCwWCzBNLpeD1S8QCCgZRQgZHh6GLb+5uQnbmcPhWK1WVN9IJBKlpaUAWDS2\nWyqVptNpAJ2FhQVqoY+OjgJnJJNJvV6PSdbW1uLZkSBMaUyVSgXQQ2migwcPKpVKQMOXXnrp8OHD\n8LpvbW2hLMXZs2exI4SQrq6ugoICJNjevn0bINJgMGxublJeq7y8HEFon/vc54BZ+/v7y8vLQUAl\nEom1tTXQaHt7e3j2P8UxKysrer0e/N7ExASiS/BoWNLNzU2ZTAZcq9VqAeZu3LhRWlqKz9vb22Vl\nZVgHqVSKb965c6erqwvI+/Of/zyDwQB0YLFYgErDw8MFBQW0tBKyMu7evUvTkFtaWrxeL2jbc+fO\nYSN6e3vLy8txDre3txcWFhDO/vrrr+O+2Ww2m80CbJlMplAoBDTc29v74osvEkJ+97vfnT17FmU7\nRCIRjXBpbW1FPI5Kpbp58yYK++ZyOZFIhH1HBAQhJJ1Oa7VarH86na6urkbux759+2ihk+3tbSCh\nhYWFhoYG4EuRSAQohphJXKG6unpwcJCW8wDpqtVq0SWAEKJUKpPJJOiBhoYGfNjb26MFhWUyGWoC\nNDY2qlQqHBKXyxUKhXBQDx8+jPsODQ299957eBmTySRtJLZ//348WktLy/Ly8pe//GVCyFtvvQU6\nJD8+0cgrsPs6tFotTvz09DRcKZB3eGkrKytbW1vBP5SXl+MDSubgXQUjhM+VlZW4QllZmV6vx1tt\nt9szmQyoRSaTCSk/MDBQUVGBYDPyUVkBQsjm5iYCC9VqdSQSgeLE9MCk3bp1C5pVrVbfunULQcA2\nmw0d7gkhyWQS7yoKL+EpVlZWTp48ib/TkoNVVVW5XA61dgYGBq5evYrwRSaTCZYM0fDQzSsrK3w+\nH5KXxWLBObS3t4fK/YSQdDpNK6Dv7e2BjNVqtQUFBYgEU6vV+OPzzz9/5coVaNO6ujqxWAw32/79\n++EYi8fjKP9ICGEwGLu7u4j57u7uxvpPTEwYDAZEqw8ODs7NzWEl9/b28GjhcFipVILnLC4u9vv9\ncN54PB4sr8PhMBgMtJJhR0cHCOHFxUVoFIPBMDIyAocNXD7Y4tXVVUQ8lpeXj42NofZVJpMxGo2I\nEpycnKTEVyKRwLZyOByZTAY/zdraGgI7Y7HY7OwslPfKygrKR6nVakpEr62tDQ8PI91tZGQEgZ3r\n6+symQxMXUlJyYkTJ6Ab/vmf/xlKOhAIrK2tYaF6e3tlMhmuhs0lhLS1tcXjcaz/zMxMc3Mz2LOX\nX36Znr1QKIST3NTUdOfOHdB6o6Oj2JSJiYm9vT3YJUKh8I033sAkPR4PntdgMPT398M+WFtbk8vl\nmA8Yb0LIgQMHgsEgHFTXr18XCoXgG9fX13HeWCzW3NzcX/3VX2H9ZTIZXhyLxQK92N7efunSJazJ\n7u4uJuD1erPZLM5AOp02Go2oo3/58uVvfetb+GM2m4WL69ixY9euXcPE1tbWcN9QKOT1evGr6upq\n+obmx8cfeR/YfR2nTp2i/ZnwYW5uTiQSwR/T0dHx+9//HnBhZ2cH5nkmk1EoFNAoFoslFArBaeFy\nudCd5L333rNYLLB8T506NTExAem2vLwMYWGxWPr6+mjcc2dnJwqMWq1W/EoikXR1dQFY+P3+0tJS\n+Mzn5+dhVFZUVAwMDCBuwuFwbG9vQz/RkqwqlSoej0Nwr66uslgsxCwMDw9DDD333HOxWAzWqNPp\n9Hq90JeJRAJoT6/X0/Dl1dXV9fV16C25XA6Atbe3Nzw8jGpJdrsdPh6LxdLV1YVsAb1eT2vT+f1+\nANytrS2a+nr37t3Ozk7ER3R2dkIW+/1+WrBRo9GIxWIKyJByOzY2ls1mgXi6u7tpzDePx6P1gh0O\nB2AKk8mcnJwETGEwGIAp//mf//n444/jvk6nU6fTQaDfuXMHEBk9ty5evEgIgb7BOhQUFEAPtba2\nut1ufOZwOC6XC+dBLpdTQM9gMCAWf/WrXxUVFeEW6FCMSWYyGUhbgUCANR8aGnr44Ycxh5GREZvN\nBiHe09MDfcBkMp1OJ4JZvF7vzs4O0t3Q45sQMj4+XlFRAXFvtVpLS0uBY/b29nByRCJRLBbDUh84\ncGB4eBhCXCAQIJb91VdfPXXqFJYX+V5wXJWXl+PE2u32xsZGvCC7u7u07RZ+jiX91a9+BVfTzMwM\nl8uFabKysgIdaTQar127RvPPpqamYApMTU3hcAoEgs7OThQTkMlkjz/+OF4xvV4P3JbL5fx+P6Bq\nbW0tMLpIJGKz2bBF9vb2oK6waDhvKysriUQCujwYDMpkMhxamjYTi8VaWlqgwPAS5fPAPunI+8Dy\nIz/yIz/y41M58gjsvo7Ozk54RIqKimCiulyugwcPwiJDWBps6lgshi9Eo1GhUHj69GlCSDgcVqlU\nINBpUVG73b66ugoCncPhlJWVwRIMhULUMZNOp1E2IhwO+3w+eFNUKhVolvr6eqfTCQYDIVIAW+l0\nGsejqKhobm4OduuPfvSjtrY2BCU7HA4AC6lUyuVyAZW++MUvLi4u4so7OzswUX/yk5/QXp25XG5h\nYQFWeTQahcW9srKSSqVATME8p6H8YAtlMplKpQJjtr6+jtlubW3p9XqsGI/HYzAYQEIKhQLox+Fw\nlJWVwb20sbHBZDJRBeMPf/gD7PRYLCYUCgHXvv3tb2u1WvjkwuEw7ltdXa3RaLBrDQ0Ns7OzuFpJ\nSQk8KEtLS/X19aBPdTodyjoQQnw+H1KP+/r6ent7QcCePHlydnYWzkKNRgNItLGx0dbWRquQNDQ0\nXL16lRBSWloK1KVSqdBnGVtMPYterxe+LrThBqZXq9VwImL14OZks9lSqRTwdHl5GY9QX18fiUQA\nU2Qy2Y9+9CNc7dChQ7/5zW8IIUajUa1W44/pdDqVSsGz6HQ6kSEgEAiUSiW2EkXlQQbq9Xrgp1Ao\nlEgkAKZXVlbUajVm7vP5aAWW0tJS7LvP5+NyufgCm80GmJNKpTwej9K2fD4fLreCggIwgcFg8Etf\n+hJ6OuPWAEDA1oSQ0dFRgUAAyJjNZkUiEf4uEomAoQEoqdPUaDQCy5pMJtwXTQxw2bW1NcBQoVCY\nSqXwIoRCIQ6HgzBRpVKJF+HBBx90u93UWVtYWAieuaqqCrOtqalZWVnBa/7www///Oc/f+211/5v\nAZIf/23kFdh9HQ0NDdTrC3mk0WiSySTek5aWlldeeQXOm6qqKtBEaOEBTq+iomJlZQVCzWw2g8pA\nX11k9hw+fJjL5SJvrL29Halm6XTa5XKB9NPr9bQa+tbWFj7EYrFEIoHIjuLiYrfbDb4lFAqB97da\nrXfu3IHyQE93pD1NTEzgColEQiaT4Y/wCdFgaNz3Zz/7GSEElObdu3dRnJ4Qsr29DWFx7969AwcO\nQB16vV6BQADhEolE4BTZ3d01mUxQyXV1dZALd+/eFYvFWJADBw4MDAxgeaVSKX41NTWVy+UQNl1S\nUuLz+UBANTQ0IE5Bo9GYTCYwRcg/gyLx+XywKlpbWzOZDDhGo9Eol8shWEOhEFZpb29vZ2cH63Do\n0KFoNIpJut1uaBGBQCCRSKA8UKUJCXy1tbWIzXn77be7urpwX5FIRIPyjUYjVD7cmbhaRUVFNpvF\nlzUaDZZXLpdvbGxAqaTT6a2tLegMu90OYapSqZaWlrAm8/PzWNuGhgaj0QiVU1paCv6NEMJms7GV\n/f393d3dWDGbzba7uwudYbFY4NoRCASUOs7lcnq9HmpgZGQEShrZEdBwiURCIBBgPj09PfgVg8E4\nd+4cdMOlS5fMZjM0/c9//nNYGCKRqL+/H0u9f/9+Pp+PzQoGg3BQMRiM48eP4/Q6nc5UKoU1OXjw\nIG1RDW8ftrW5uRmTZ7PZkH5SqTQcDkNxms1mDocDhxmOHyGEy+V6vV7YJU6nE5ZcMBjkcDhQP9gg\nnMNkMonVi8ViCoUC6rZLzZTjAAAgAElEQVSysjKbzWJigUAA5/z48eM2mw23EIvFRqMRDcPy4+OP\nfBDHfR0w4QkhVVVVqBQFiw+vweDg4JEjR2h7BWgyn8+n1Wrxdq2urup0OridiouLAcXQeB7vDEIB\n4UgfGRmBhltYWEilUnAUmUwmHo8HKcPj8WCet7W1ORwOQKXXX3/9iSeegLxmsVgQWG63O5VKwa2i\nUqmGh4dh7AuFQoibeDwulUoR11dYWDg3Nwe1FAgEMMmdnZ3XX38d8jqVSrW0tMBCRx4xIUShUExM\nTGAOMHIR1MDn83EvIA/IiFwuB7EbjUZLS0sxB5/PJ5FI8OVkMol15vF4EokEgqypqcnpdOKRbTYb\n3GnDw8Nra2u4wtWrVy0WC2Qlg8HAs0ciEeSx4hYCgQCPFovFsIw1NTVWqxW343K577//PqzyjY0N\nhGCk02mDwQDQI5fLJRLJV7/6VULI9773PUjVSCTC5XJx2ZGREdqF0ufzYc3n5uZkMhm8KUAhwBDR\naBTIGzAdh8RqtS4vL1N3C9bf5XI1NTXBHBGLxXCvwp0GS2JyctLj8cBO4nA48IE9+OCDLpcLtwiF\nQoWFhdgsLpeLZ/T7/WKxGJ7U5uZmgUCAIJr9+/fjMCgUirq6Opg+KCOJx2xtbcWa37x588qVKzA7\n0LIHyrWxsRF4hRCyubkJt+76+noymcQ63LlzB5G33/nOdzgcDs4DIYTJZOIW4+PjcCgGg0Gfzwd1\n6HQ65+bmEBIyMjKCdbDZbIFAAL7AhYWFRx99lBp2eNeYTKbBYMBuBoNBqJxsNqtSqaCnBwcH/X4/\n1N7ExAStj0wrOwcCgWQyie0uLi6GA29ra0sqleJq1JLIj0808j6w/MiP/MiP/PhUjjyFeF/Ho48+\niiisUCgEO7GwsDAWi925c4cQUlFRgbIChJBr167BPKytrR0eHoZjxuPxPPPMMzD27XY7TEJCSGVl\nJSj+lZUVgUAA7nFubg4YjsPhVFdXI9jJ7XYPDAyAysjlckAboB/hizp8+DCt9V5cXAxu5/3335fL\n5XAv2Wy2qqoqEEGJRALnB8H9QCQajaagoACs3djYGOzlF154IRKJwGy/cOFCKpXC7TKZDKK09+/f\nf/HiRaCuqqqq+fl58J9arRb3ampq6uvrA3sTDodBH3E4HAaDQaHJ3t4ekGgymcTEkskkjZ378MMP\nT58+jYfV6/W0JHkikcAXsIYYPB4Pz44KJsCyu7u7fD4ft6bpCqiGDkIyl8ux2WxgGr1eD1/j+vq6\n2WwGhlMoFENDQ5ikxWLBJJ1O597eHmAisqkwN6lUCpwqk8n27dsHWFxRUZFIJHAFt9sN6mxtbU0o\nFAK7zM3NWSwW4BulUgkkpFKpgsEg6Kz29nYAWXTZxjmMRqPpdBoIbHFxEeDm1Vdf9Xq9SH6w2WxW\nqxX0KZvNBjxdWlr64IMPEFYuEAiYTCb8kTKZDKx4MBjM5XLAT9FolDaeVigU1L3K4XAAdPAg+EC7\ntKjVarfbTQnw0dFRPPKhQ4fAyj777LMDAwOALw0NDQUFBTiHOzs72FCZTEb7J2QymUwmgyvYbDYs\nI4fD0Wg0WPNTp07t7OwgjvTdd99FZ5bt7W2tVou3iclkIl63ra1NoVAAfQqFQtrTXCgUYhEkEgnt\n8srj8XK5HJ4umUw+9NBDhJCLFy86nU7slMlkWlhY+Pu//3uSH59k5BXYfR3nzp0DSxaPx+E8X1lZ\nOXbsGI4+8pDANRmNRrzACoUC7x4hhMPhNDY2gpRgMpkQ91tbW9XV1VCBRUVFDAYD6sfr9UIFbm5u\nOp1OCNCJiYmenh5kNa2trYGhSiaT09PToE1sNltrays4H2RfEkIMBkNPTw+N+aaZPTTVCSEGmOfi\n4mIqlQK14vV6camf/vSnk5OTmINMJtve3oY4CAaDEPdbW1t+vx9aTSQSzczMIPu1sbERDqHJycmS\nkhJcjc/nI0z/9u3bcrkcHFd5eTntKVxZWQlmZnNz02QygYySy+V6vR60ks/ng8IQi8UikQi6QSwW\nFxYWQohPTk5Cs7a0tEQiEdosTafT4XbBYBDyMRqN0sQ4QohKpUI9xgMHDsBRNz4+3tTUhFvs27fP\nbrdD8jocDkSUZLNZl8tFO5UsLy/jy+AeCSHr6+unTp2C8ohEIlqtFhp3Y2MDqwfHJL3C6OgoLZ0O\nzSoWi4VCIZQKzWcYHx93uVwQ3EeOHBEKhTCJ3nzzTRyt0tLSQCCA9TebzWNjY7SFNOwwl8slkUhA\neq+urvp8Pnzet28fAlgQ80I5vWPHjuHRAoEA7AOtVltUVETrXvb29mJuYrEYbtSOjo6NjQ3s4Orq\n6j/90z+BJeZyudDHL774ot/vx1MwmUyXy4XjTZ1S8/PzJpMJe6FSqdbW1vBEND9apVKpVCrobIPB\nMDo6CntxfHwcPsj6+vo/XT0cQqQ8U0tufn4e29ra2oqN4HK5yMskhKjV6lwuh5THSCRCnaNVVVWw\nkOrq6mZmZpBAlh8ff+QpxPzIj/zIj/z4VI58EMd9HVarFUTc+vo6yIdYLBaNRmGzFxcXGwwGBL/x\n+XzYbnDa41fV1dXxeBylUScmJgBoNjc35+fnwYpwudxcLgf70eFwIDdWKBRWVlaCkfN4PKFQCEZf\nJpOhHEssFgOd2NnZqVQqEcJuMBhgKvb391POJxKJZDIZUFttbW20qITZbAZDkslkaFInmjkRQqLR\nqE6nw2W3trZotHRzczNCxrlcbiqVAnb0+XyBQADEIIvFgmGbSqVorR0E/hFCBAKBSCSCaXzhwgWL\nxQL2RqVSgUfV6/XXr1/HD5uamtLpNHonPvvsswiJNBgM6+vrND+Xx+PRklqUQjSbzVj/aDQ6ODh4\n8uRJQsjOzg4CJdBBFLfw+XxXrlxBjIDP5wNdKRKJ3G438JNcLu/u7kYiuUQiQTQah8Mxm80oUDQz\nM2OxWBD4193dDSYWTBc2SKVS0UhUj8eD9pvBYJBG1ty6devJJ5/E1j/77LPA8WKxeGFhAczVnTt3\ncAAOHDiAaxJCNBoNl8tFMSqFQkEBHPmo89nY2JjZbMZfEokEYgh3d3fdbje2uLCwsL6+Hofk2rVr\nOACtra3Xr18HqBIKhf39/ahitbCwAJhit9uTySQ4RqlUqtPpPvjgA0LIZz7zGUQ6cLlcYHpCyL59\n+0ZHR3FIHnrooWeeeQZXSKVSAPRKpbK8vBxv1uLiIgjngoICinqnp6eLiooAWxUKBc1MkEgkANmE\nEK1WS0Ny8FpVVFSw2WzaIhWBKogJwhvU2Ngol8txihgMBi4Vi8WsVisgqdfrTSaT/y26Z2lp6erV\nq4jHoa3d8uMTjTyFeF/HE088AWGEakmEkEQiMTAwgEZ2kFaQdA6HAy/tAw884HK5kJhVUlKiVCoh\nN+fn5yHiHQ4HJX9GR0erqqrAliiVSrxya2trRqMRjByHw/F4PKDXKJcSjUa7u7sRnoe4Z1xhbGwM\nL1UoFGpubga3NjU1VVlZiUSWr371q5Bu7777bnNzM2ilmZkZuVwONVBXVwdF9Ytf/GJjYwPzcTqd\nly9fxsucyWTAcw4ODobDYdCYZrP5jTfegDiYmJjAY0qlUr/fjy+IRCL83GQyDQ0NQYm2tLQMDAxg\nDh6PB1pkbGxMr9fDJlCr1a2trQj+bG1thQ7mcDgCgQCqF8lY0Ft6vR7CemZmJhwO4/Pe3p5Go6HF\nPvBHNpvNZDIh8fl8vlgspg0PcS+lUrm1tQXq0uv1Hj58GMtLy2gtLy9vb28jhFqr1fb19UEcd3R0\nIDzv4sWLcrkcQfBjY2Of//znUXgim82Ctk2n0zKZDERcS0sLk8nEvrjdbnyhsLBwbGwMfC+0PlZP\nJpPheVF1Bfqsuroagf5HjhzZ2dnBFWw2m8vlwiF56qmnsKSXL182mUyImVxYWDh69Chyobq7uxH1\nWlpaurOzA8JZrVZ7PB4oVLlcjnshyQEq0Gaz6fV6aLu1tTXYYd/+9rf//M//HE4ytAjAG5TL5Wip\nFEIITktLS8ulS5egXDc2NjAxLDL1IkejUZhlfD4fpg/6iZ84cQLnn9K5tCu0UCjc29vDi9nU1IQX\nU6PRXL9+HX7QUChUUlJCu4RDqJpMps3NTbxr6XS6qKgIzjMQs5gArd/vdDrj8TjCU/Pj44+8Aruv\n4/z589euXSOEPPLII4iqOHHixMLCAmRiIBDwer0AWBsbG5ARk5OTiAAmhEilUqvVitNvNBqh1fx+\nv0AgAPKwWq1qtRpgy2KxoLX5l7/85QsXLuDlyWQy9+7dgwjY2dnB+5lOp+PxOMSxx+NpbW2lDY0g\nB4uLi5PJJEAGspvxDnu9XkCTZDIJ2U0IAcKDtPX5fE8++STm0N/fD00zPj4ulUqhrWlfKDabffny\nZfjMe3t7/X4/pI/RaISWjUQi/f39kLYPPvggBMfVq1dpuk9/f/+5c+fg1VCr1QA3VVVVSqUSE1te\nXg4Gg1TKwJMBpYgVnpiYWF5ehgcll8vh2eFzgqTb3NwsKCjALfR6PTpfm83mwsJCyMTi4mJa2XJx\ncRG34HA4Xq/3C1/4AiHk0qVLMpkMSeVVVVWQbuvr62jlTAiZmZmx2+2Q+N3d3ZCk29vbcrkct+Dx\neLOzs0jzcjqdePZgMLi1tYWMY6vVurm5iceXyWTQB2+//faxY8egwDY2Nh5//HFCyO3bt+PxOOZQ\nX19P89ZpRH51dbXH40HhxMbGRrVajc0KhUL4Jp/P39vbQ3bE9va2Wq2G5otGoxD3Op0ulUohDX9p\naYnNZkN519XVQcNptdpgMAi4fOXKFR6Ph2fv7+/HmgsEAgaDAeMpEokkEglEq6+srCD9HN1PYNAs\nLi7SolDV1dW4VDgcXl1dhVcPnYmQWtDW1gb89OSTTzKZTFTMYrPZt27dAmwym83QrPF4vKOjA7iN\nNj8qKChgMBi03RqLxcIxo0kITqczEonQpAu5XI4EzZqaGmDE7e1tPp+PoK1oNJpIJPI+sE868j6w\n/MiP/MiP/PhUjrwP7L6OiooKmGxyuRxxekNDQw0NDYAjbrf76NGjMPrQd4MQcvjw4bq6OjhsNBpN\nOByGHU2rXaBGAL7MYDBef/11IDObzYZvon48iJRoNJrL5WCZ0oLfkUjkySefRLcUNKsEQ/j0009j\ntgwGw+/3w1xlsVg7OztAYwKBANxOdXU1g8GgoIfH44Ggi0ajAFLJZFKlUgEFPvbYY729vQCdW1tb\ntDzEwYMH4TxAk1/MJxAI0Dq5bW1tsKPZbDauX1ZWFovFMJmOjg6tVota8rOzs2CENjc3WSwWUG9V\nVRXqUZGPum4SQhCCiKslk8na2loaV4aJXbhwgcfjofnL0aNHA4EAKNxAIABD22w20y7MhYWFiUQC\nX/D7/cAQBw8ezGQyWFIejxcMBhFCub6+DkAjEoloNKDD4SgpKcEk7969CyJ0bm4uGAwCS6HcLa5W\nWFiI+PJUKlVTU4NQciBsQBa6EcFgMBAI0ApJ+KZcLj9z5gz8XrlcrqCgAIckHA4DJxUXFzscDsCj\n1tbW2dlZPNHu7i5I1/LycovFAq+Vx+M5cOAACOH+/n74n1ZWVs6ePfv6668TQk6cOMFgMHDlS5cu\nIVQ9EAjEYjF47FCYCthOqVTC12iz2ba2tkCZajQa/IoQ8pWvfAWrhEOFg7G7u/v222/jzeJyuTdu\n3MCR9vv9eAqUasPO0jawt2/f/od/+Adcx2g0isVizOHgwYO0qu/MzAyANYPBwHljMBgejwfL29zc\nzGazgatCoRDOdjqdfuKJJ0C0lJeXh8NhbDcNnddqtSKRCO/g2tran2Zx5MfHHHkK8b6Orq4uythA\nsqNbCgRHcXEx7ZohlUohF7LZ7OnTpyErNzY2EHpLCFleXoaXWygUTkxM4P0MBAJFRUWIHSgtLUUQ\ncF1d3eLiIhwzvb29CwsLqKcwOjoK/h2BEpBNTqczm81CBS4uLkIfVFZWslgsUDc9PT1VVVVwt1it\nVoQyd3d3z8/PgwxxuVy5XA6839zcHPxA2Ww2lUrBOfHaa68dPXoUT/fggw8iiANBxphwY2OjQCCA\nQOFwOIhoEIvF7e3tYA5zuRyeEWEmSDzQaDRXrlzBqsrlcjCiVqt1fHwc9xWLxUwmEyr5rbfeAuEm\nFAp3d3dhH0gkku7ubsgRqjiVSqXb7YboLyoqgsDCE0ENqFSq9vZ2RIer1WqdTgc3z8TEBC7b1dU1\nMjIClnJsbMxkMuGlCwaDkObxePxzn/scnJTt7e1jY2O4td/vh5ZlsVhOpxNuzlQqlU6nYSuUlZUh\noIDBYJSWluIWyWTS4XAgAkin00GTob4UEsWKiorgKWxoaFCpVNig2traWCwGwbq8vAwOTaPRjI6O\ngqnz+Xx1dXX4cnt7OxQYaoXgcDocjra2NjxFSUkJzhhYVghus9nM5XJxC4/HA6/Vzs7O2NgYdlOh\nUCwtLWEH0+k0dDNcVlDkFoslk8ngJJ8+fRp8Mo4HzeSzWq2gVQ8fPoxYlUgk0tTUhMva7fZYLEar\ndiEzpL6+3mAwwO84NjZ28uRJnN4PP/wQ97Xb7ZWVlaBzUQwMl62rq8P5R6NnJAtms1kcSJVK5Xa7\ncRg0Go3b7YYJYjabwSHH4/FwOIzz9q1vfet3v/vd1772tf9deOTH/zDyCOy+DovFgugGDoeD18Bg\nMKRSKbzAYrGY9mKXy+Ww0+fn5zc2NqCfurq6hoaGoGmKiorgqXK5XLu7u0haUqvVfD4fwGtkZAT9\nVtxut0wmA6CRSqWNjY20Zi7tpMVkMuHaKSoqmp2dhXYRiUSwJeVyeTweh6aJxWKrq6twVnG5XBiz\nNpsNHg5CCF5O/L2xsRGq7vHHH7937x4M3gceeODatWtIj+3t7YXag/8PyhsObYjjmZkZXCoSiXz4\n4YewZx988EEKBysrKxGScPXqVYFAgGff29uDDtbpdDs7O/DYoRYfxNDTTz9Nc4RRrpcQwmQyVSoV\nJjk/P48H0Wg0HR0d+FVhYaFSqYRaWllZgSUhl8u9Xi+2VafTDQ0NUeVK4xHkcjl+xWaz5XI5HpnW\nxg2FQnS70+k0g8HAHBobG+E12bdv38LCAk1WowGZPB4PQrOiosLr9eI8aLXaDz74AG0S6cQSiYTX\n64UyczqdmMDi4mI0GgVUtdvtoVAIbj/AdFyfz+dTh00qlcLZow7aM2fO0DiFuro6p9MJPEH1EI/H\nq6yspBj63XffxWbRpnS7u7tbW1vwP83PzyuVSnAJt27dwhei0ahGo8EO1tTU0CQqt9sNTSYSidrb\n26EnOBxOKBQCVIKPjRDi9/tpU9NAIIDEPpx/2CWpVGpubg6RkJ2dnU6nE+dBr9fjjwjuxW4uLS3h\nV+FwuKqqChAtl8sFAgFa6hCnJR6PW61WzJYGARFCCgoKYFHF4/FLly794z/+IyHk7/7u72hEaH58\n/JH3geVHfuRHfuTHp3LkEdh9HQKBAGYjh8MB2RKLxTo7O2GRoccErHIKiWAMgq1CUSLwbCqVCiah\nzWZLpVIgxN555x1a0PaBBx6A/R6LxYaGhuBmY7PZyWTyT3ugEEJCoVA4HIbJzOfzac8LJpOJMG60\nLIFpLBKJgsEg7MpIJIIg5u7u7rKyMlrb2+VygaTKZDIAeYFAYHt7G6bx8vJyWVkZHEUCgQBk14kT\nJ/bv34+At4MHDy4tLVE0QCtUmc1moIGxsTHwaX19fY899hiQXzqdbmpqAp3ldrtB48TjcS6Xi5XM\nZrPV1dW//e1vCSHXr18HsGtoaFhbW8O9/H4/h8NB0QeEVuO+SMUjhPT29jqdTtqQHla/3W4fGxt7\n9NFHCSG/+MUv6uvrYUq7XC54cXK53FtvvQUUcuHChS9/+csAfwKBAJ6b1tbWmZkZgIzZ2VmXy4UK\nHRsbG1h/m81Gc+DQygRXe+eddxDgFwqFrFYr1jwQCJSUlOAWZrMZR+v69etHjx4FlWcwGLAgtbW1\ndrsdu7Z///7XXnsN3iPaP3ppaWnfvn34VSaT8Xq9iPUfHBzECclms/F4HF9Op9NOpxN/p+1LEPWH\nvV5bW6uoqMCRO3HiBLa1r6+Py+W+8sorhJCzZ8+Oj4//+7//OyGkuLgYFMWRI0fKy8vB6U1PT3O5\n3O9+97tYCoBssVg8PDyM9VEqlffu3cMrU1xcjF8BmOIxy8rKent7Afi0Wi1Oi16vv337NvCT3W43\nGAxgTcPhMOIV0aEG220ymUBm/MVf/EU4HIbncnh4uKSkBM1Q9Ho9AoltNlsymQTq2traMhgM2Fa/\n34/+6Z/73Oeqq6t/+ctfYs2xMvnxiUbeB3ZfxyOPPAKBwuFwEOzb1NRkMpnwjqXTaYlEgs+0m9Tu\n7i5NB25ubp6enobkTaVSCBxAbwukXtbX14MHI4TMz8/jnbxx4wbNTQE/icgLDoeDWOdDhw65XC6w\nJQ6Ho6qqClerq6vr7+/HLQoKCsA7+Xw+iHs6YUJIQUFBeXk5bVASjUZxi2g0Ctm0tram1+vBc6bT\n6XA4DOW6ubkJEsxkMt29exdzmJ2dbWpqQnABvDuEEKFQmEwmITtkMhlNADCbzRAHjY2NEokEesvp\ndOKyNputvr4e921sbJyenkbNrYaGBjhCjh8/Pj09DbpycnIyFArBL9jQ0ICIEnQDQdDE2NjYX//1\nX8MP97Of/Qw1AGUy2dLSElbSZDJNT09j/dVqNYyV48ePu1wuqtU++OADiCqBQACHUC6Xk8vlkI9w\nueHpQqEQNPrp06cVCgWWuq+vDz5CQsjFixexjE8//TQaUhNCVCpVNBpFsEMoFMKKCQSCEydOQCWz\n2WyI+KKiol/96ldQnC0tLbTcIv6LELK0tJRIJKC82Wy2TCaDleNwOKB+LBZLJBLBStbV1XG5XCwa\nbXe3tLSk1+uhFwUCQSAQAMfrcDio/29rawv+zq2trVgsBmI2EongC/v27dPpdLAP1tfXd3d3v/KV\nr+BE4UijmQMmNjo6euDAARhViUQCGm5oaEgikVDK2mQyYdkrKytpHwMavl9aWiqRSOA8297exlMg\n/RwHksvl4pQuLi7u7u5Cu1utVtqTj8vl4udnzpx56623sNcGg0Emk4EA/7M/+zMcBrvdXlpaitNb\nXl6eTCaRc5IfH3/kKcT8yI/8yI/8+FSOPAK7r+OZZ56BFSyTyeBdr6ioCAaDQADvvvsug8GAG1wi\nkQDQKJXKs2fPwsjN5XJer/eJJ54ghMjlckSCcbncSCQCIxesCz4HAgGYw0qlUigUgoT0eDzLy8vg\necLhMFzxLS0tgUAABj5CqDEHtVoNPk0ikYRCISBCtHxEXYl4PE5bTMViMVp5iNYaKCgoAF1z5MiR\n7e1tGNeAd4hZePXVVzEHh8Nx5MgRxLs/+uijP/jBDxAANj09jcABs9kcDoeROXD27FkESjzwwAM9\nPT2gEMVicX19PS0bAXv5m9/85vDwMC61ubm5uLiImIVIJAJ4tLy8XFNTg/C8yclJi8WCx/zZz36G\nokeLi4uRSATG9dbWVm1tLejTnZ0drDafz/d4PAB5NTU1fr+f5vA+//zzhJCenp5YLAbc5vF4XC4X\nGLx9+/ahsEVVVZXNZgNbVVdXx2QycYXDhw/DZkctedSVl0qlcrkccQTZbBYxMhaL5eTJk0AhIpHI\nZDIhglwoFNLoEtpq6/nnn8evdnd3W1tbwS3bbLZcLgfQU1JSQrF7XV0dHi2VSp09exa8d2VlJRLn\nRSKRVCoFdvT7/VVVVZAn0WgU562rq2txcRGXTaVSuVyO0mt4tNXVVa/Xi5Vks9mFhYXA0CwWCzTp\nE0880dbWBiJaIBDQoMd0Oo2Qn7W1tdnZWbC1Xq/X7/eDIWhpacFkFhcXPR4PkvcZDEZDQwN4v5Mn\nTwKmj42Ntba24jF9Pt/du3eBUI8cOYIj7ff7U6kUjU5CgGUwGHS73aA0Hnroodu3bwONlZSU4G21\nWq0+nw9QFfw5fshkMvHH8fFxgUAAMrygoCAajT777LP/p/zIj/8+8grsvo6DBw/CaUGDsDOZTCAQ\nAJVhs9ksFgtkh0qlwhdAl0HSmUwmm82G4mmIuccf1Wo1tMKJEydu3LgBEkwgENDUromJCYjgV199\ntb6+HhFx8A/hUhKJBG91MBgsLCwEAZhKpWgdAQ6HA3VotVpdLheUytLSEmYOtYe3nc/nm0wmiMXN\nzU1wWY899lhNTQ0ImXfeeQfF0fH4EAHRaPTevXvQzevr6+Pj4yDoIIjxmMFgEHNAZ15CiMPhQG1A\nQkhrayuTyYSMFgqFtG+13W6H6BkcHHz++edp3w2QbyiHAVnJ4XCi0SjUPw3yTKfTq6urIL6Kioru\n3r2LW4hEIpBOMzMzW1tbWPPt7e3+/n6kN+j1etpg99ChQ6+++io++/1+yEoUaiKEsFismzdvgilN\nJpObm5u0yiIke2FhYUlJyZUrVwgh0LtwO1VXVyNB7fjx49/4xjcgdhOJRH9/Pw7Ml770JWwKi8Uy\nm82oA1lXV4fT0tTUtLCwAGUpFos1Gg10w8LCAg6DQqGgfX8YDAaDwYBXKZfL/WkzAYTIopEC3Dyv\nvvoqog2rqqr29vZQDIwQ8vbbb2P9V1dXEWTY29sbDAbhC1QoFEikwzogpayrq2v//v04La+99trT\nTz+NH/J4PCwCtgk2AeqVYC/AveOcZzIZmGJKpTIajb744ouEEIvFglMEJygsLZfLJZVKoYHkcjnt\nqrq8vIyY3qtXr2ICarW6v78f+hiuRFpPBDrJ7XbjdlixiooKbIpMJkPof319/dtvvw3NyuPxVCrV\nU0899T9Ijfz430c+iOO+DjabDYkjFArh57hy5Up1dTUku0wmS6VSNPoAAKu7u3t6ehoyOhgMdnZ2\nQrisrKwAWDgcDg6HA7l248YNg8GAzzabDVZ/Mplks9lAfrlcLhKJQIGJRCK8aT6fT6FQ4EX68Y9/\nTPM3qQCdmZn57IDP83cAACAASURBVGc/S3tApNNpTNJiscCWLy0tLSkpodjR7/fTsGYqQL1eL2Sl\nSCSqra0FdAsGg1DYoVCopqbmBz/4ASHkzJkzcrkckSaJRAIKWyqVAnwQQlKpFK7vcDjW1tZQV4nD\n4SwvL0OIowwdIaSgoICWIf76178ulUppRyvY7zs7OxKJBEIzlUoVFhbCJ+R2uwER6uvr3W43vPoz\nMzOhUAiBJJ2dnZBHOp3OaDTClkeSEMRiUVEREg9qa2uvXr0K/YTKs4CMly9fxpKi0i6kLYvFosVt\no9EoxF93d7fdbsc6eDyecDhMSz5CWMPvhege1Gg+f/48Ngg4PhgM3r17F4okHo9jGe12u1Qqpd3j\nioqKsN3Nzc14tGw2q1ar4fvc3t6mBaKsViutriuVSqHM5ufnKyoqYGGcP38eMnpzc7OsrAy/eued\nd+jBSKVSKGANsY6nWFlZ2draghJ96qmnYANNTEy0traixOI3v/lNuVyO809LOlVWVh46dOjll1/G\nmnu9Xky+vLwcBhwhBIQBzl59fT1tMwRVBP4AGyQSiahnq6KiAm7mpaUloVAIBCyTybCks7OzYrEY\nipPD4ayvr8NGrKmpoROgpk9FRQUa9xBC7t27h8KMiUTi5MmTiCr6yle+Qh2Q+fHxR94Hlh/5kR/5\nkR+fypFHYPd16HQ6Wl8AIMZkMtGuxDweLxaLwWlRVVUFgIXMZZiQ3d3dKGBDCNFqtXAtCAQCWuQC\nUWEwclUqFdiV0tLSUCgE6obP5w8NDcEXhUaLhBCn08lisRBweOzYsVwuR4uZAqtls1mkiGLCBQUF\n4P0EAgFQVzQa5XK58MH09fWVlJTAfC4qKkJO9LPPPjs7OwumLpFI+Hw+2m8XYGJsbKy4uBiPrFAo\nbDYbsN25c+dwKY/Hs7a2BjN5cnLyscceI4TkcjmFQoEl5XA4LS0teIrt7W3MVq/XLy4uAqJNT08f\nOnQI4JJa3wMDA7Stxt7eXjqdxiRNJhOqSKCNCJ4iEAjE43GgokwmA8/lm2++efjwYdBZ+CMWZ3h4\nGPTpSy+99NRTT1HnnEAgwIR3d3eBeHK53HPPPQdEMjg4KBaLgecKCwvhrXz99ddDoRDNmdXr9YiS\n//rXvw5bXqVSTU1NwS/4L//yL5lMBgCIEIL7yuXyra0tkJD79u0DfsrlcuDKCCEtLS3Xr1+HPzIU\nCmEyL7zwwubmJpDf5ORkaWkpBfeYmEaj+c1vfoNdQ217ELN8Ph9kYywW+973voe7OJ3OdDpNizjj\ntDidTqlUCvBx5swZylhubGwAaR09enRqauqNN97ABkmlUizOzZs3cYwXFhZyuRzKxLzzzjtcLhew\nyePxYMUOHz7c29sLskEulx89ehRvUElJCZ4ikUhIpVK8g8PDwyKRCBAZ+4iFSiaTgK3YQUJIfX19\nJpPBMdPpdN3d3QgZ5XK5IB65XK7JZMKr1NPTAy8dIaS6uhr0QCgUoiW5t7e3sfj58YlGXoHd10FL\nvVVUVIBf0ul0Go0Gymx3d1cgEEAVLS0todpFOp2urKzEr1555ZUvfOELEA1qtRqygM/nDw8P4wVG\nbxFQK4FAAE6aeDxOqXaBQKDRaEBlFBcXg/w5cuRIIpEA18FkMh0OB23zgYgGh8Nx8+ZNMCRzc3Po\n20QIWV1dRXzz4uKiTCaDY7+5uVmhUICE8Xq9cPNsbW2VlpZC4z766KNDQ0MgpsLhMEiYdDp97949\nyAg2m93d3U1bMUGRJJPJZDIJbedwOBDuwWKxysvLMXO32y2RSGj5BpoUpdFo0GrryJEjiObHfHDZ\n/fv3+/1+BLD4/f6CggJIuosXL4I2dLlcVqsVdf2TyWRJSQmIWZq6oNVqfT4fvFbb29vFxcWQ8ktL\nS5iDxWLR6/W0WtX4+DhEc1lZGdZ5b2/v6tWroNGqq6sHBgZoSDcORiKRoBkLwWAwm81Cd548eRKU\n3eTkpNVqRU/hxcXF5uZmbLHb7caCLC0tYetxBrCV77///v79+6GwJycneTwejpbRaASfube3l0wm\nUWC+oaEB1dMJIfQIbW9vnz17Fo9ZUlIyNTWFAPGXX34Z5Q0R0QCdZLFYtre3aR19zBw3xZKGw2Fa\npYLNZsOV+Itf/KKnpwemmFQqDQQCoNaNRiP0k1qtTqVSYKTNZnMgEIAXEyeQfFQRCjEyjz76qFar\nhbWh1+t//etf40WoqKighVfQYQefkXRRUVFRVlaGL9TV1eHKKMkGA47H4zGZTDza5cuXsZVIroAr\nF68V9p1SlHK53OFwwJKrqKjA2ubHJxp5BXZfR319PeSmx+OBnwMRaHjtmUzm1NQUXoNsNotTrtPp\nZmZmEM8mEonoe+vxeCAoZTKZRqOBYwaNz+Fmk8vlEHlOp7OjowOWoEgkstvtsMRRqpUQ4vf7i4qK\noA7R3oJ2ToFRn8vltFotrqBQKFpaWhANyGQyYRq3tbXx+Xw4tJFViuqrzz33HCBRMBg0m80QZJub\nmyqVCjY+IYSWrSopKYHDrLi4+N1338XVrly5Ao9FIBDQ6/UwXTs6Ov4/9t4zttHrSh+/pNhJsYmk\nKLGIVKF679OLxtNsz4y7Pe6O19k4dZMg2WCDBdZI1lgk2SBItWPHG7ckdsZliqbZmpFGXaNeSYmi\nJFIUe28iKf4/PPCLfEj+iH8fBjDA84nQcF7e95ZTnvPcczAJqVQqEAjgYtzk5GRZWRlSfehgQgiJ\nRCKtra0IEWg0WjKZhL7mcrl437W1te3tbTyBzWZHo1H0ZDp48CAc8NXVVbQBI4SEQqFoNAqGC8ZJ\nCBkZGaGcbrjquNUEjU8IUSgUly5dQjPJvr6+pqYmRMOPPvooSH3f/e53L168+Mc//pEQcuLECb1e\njwjAZDIh3SKRSKgSSoSQo0ePglCAvBQhBP4H9oNUKl1bW8N4cnJy8FsGgyEcDsOBcLvdiBUKCwvT\n6TSs+969e6VS6W9+8xvyNxeklpeXrVYraEeot3Ts2DFCyMTEBAhEOTk5VMWsjY2NlpaWb37zm4SQ\nt956CwQWkUikUCiQPWpoaDh06BAMicPhQCCl1WrD4TCcBrVaXV9fj4TZmTNnXn75ZULIK6+8YrVa\nsUAWi6WyshKWr6ioCB+CwaBWq6V6zWxvb8O40ul0eDZbW1t2ux0rCNOCabdarSBuiMVih8MBfxHF\ni1F92Ov1ouWYxWKhXM/x8XEYyHA4nEql8FtWq3ViYgJ2UaPRwOyhiDOO2OOPP+73++FEGo1GbP6K\nioobN25gzwsEgu7u7kceeeQfaI6s/H3J5sCykpWsZCUrX0jJ0ujvqJw+fRo+4NbWFpzrlpaWYDAI\nUN7pdHZ0dCC9YTAYwCDv6upaW1uDc713716LxYLwyGAwwFdF5Se4zFwu9/Lly4hC9uzZA+ownU7f\n3NxEuDA/P2+xWADC7N69G8Xmjx8/vrW1BfdcJBL19vbC6dbpdPBVjx49ev78eXyhtraWy+XChczP\nz0cOxufz2Ww2OJsCgYDL5VJFN5CDUalUP//5z+G25+bmstlseMR2ux0h6SeffPLUU08hZEEtA+zM\n3bt3Y7QOh8PpdOKPbW1tAD9ZLJbP56OqgLtcLqoiCdI80Wi0qKgI+F5dXd3CwgJVph2JmZMnT25t\nbcF/9/l8g4OD8Mqrq6sx2o6OjnQ6ff78eTxhY2MDsxqLxRA3u91uOp0O0GlhYWH37t34OaVSiYiT\nyWTu27cPhVcEAsGtW7cwacFgEB/UavUnn3yCmNJgMKDWBiEkEomgAohKpYpEIognzpw5841vfAMb\n5t1338XIH374YZfLhVq9aBoJbuHk5CQc/PLy8vX1dcSvBoMBU2o0GpubmzFym80mEAiocmLANsG4\nQ5ARCoVSqRQC/dOnTyPCQ+V7jPy1117b2tpC0D81NQU0eHBw8Pjx40AmBwYGFAoFVRMLB6GsrMxk\nMuF9m5ubTSYT1Vv8xz/+MSHEarW63W4sN5/P1+l02MljY2MonwaEE9ms0tJSgUCAMUxOTmLGgsFg\nbW0tmIH33XcfnU5HCFVWVgbu4v79+ysqKgBKAyMBKHrPPffggJw+fXplZQVHbHJyEmT33t7eUCiE\nxJVcLrdYLIAKFhYWcABLS0v7+/tfeOEFjHZxcRFfkEqlGO3777/f1NSE2VtaWiooKMjeA/u8kjVg\nd1Sef/55KBSxWAx0DnocHI0PP/ywuLgYqt/j8YACEAgEeDwelkkgEBw8eBB24m+xxGQyiTPT3Nw8\nMTGBZ8bjcagbLpfL4XDwc4ANkXby+XxQf1qt1mazQUeoVKr8/Hz8R41GQ91HzsnJwcij0WggEEBm\nSyaTwR7s7OzodDoo7oaGBq1WixSIWCyGuj958uSLL74IvaBUKs1mM+gYc3NzwLgikcj8/DzstFwu\nx3kmhIhEIuiI3/3ud6dPnwa25vP5oLw+/vjjRx55BJV7gsEgjUaDClYqlfAPNjc3S0tLwVUZGBiI\nxWLQ1/F4HL9VW1trs9kwhlAotLGxgRYbHA4Hplcmk/X29mKiwuEwGmvhNbFSAoHgypUrMB7BYHBn\nZwca/9ixYzD54XA4Ho/DL5menm5tbaWq6mES8HBo2xs3bmxsbGDpZ2dnYahwIQl6s6urKycnB4Yt\nEAjcd999+EI4HEY+Zm1tze/3Yz9Q195xXQH5v6GhISxfYWGhVqsFgYLH47HZbOjolZUVNFl+/fXX\nW1paMA8rKyu7du0C+Nzc3AxbuL6+Ho1GsbUIIWq1GqaxuLgYf6TT6R6PBzZJp9NNTEx86UtfIp8R\nOvC/EonEAw88QAgZHR09evQorlL84Ac/gKkLhUJ0Oh3TOzQ0dObMGeQjd+/ejc7jKISGtygoKLDb\n7cAbc3NzYTgDgcCBAwewMQCVY0cxGAzAyMeOHTMajQBCXS6Xy+WievVhmyUSCa/Xi2MlEolwfKxW\n64MPPoirCzabzev1Ur4ajk8oFDp58iRGy2Qy8XxCSG9vL0ZYX18/MDCADQmSPbKYWfnnJQshZiUr\nWclKVr6QkiVx3FFJpVLwqSk/HVR1OLZer7e1tRWRByEENIRgMGgwGPA5k8mYzWYQrrRaLdzSSCSS\nn5+Px05OTkajUYAz586dwxei0ajH4wG5K5FI9PX1wQNVqVSInxKJRE5ODoK8S5cu3X///WBOj4yM\nANvJZDLnzp0Dn4rBYJSXlyOWmp+fR0iUTCY3Njbwux6Pp6enB65rJBIBStbd3f3SSy/B8ZdIJHa7\nHR46Gpjh3d1uN3xbBoORn5+P6CQQCCDA6urqWl9fhxdMVUiqrq5mMBhU8WK9Xo+4anZ2FmSN5ubm\nW7du4dVWVlb0ej28cpTXwoyhfDshpLi4GIWj8LtAyVZXV0HoJ4TMzMycOXMGYYrNZsPr4F4qAqz6\n+vrBwUHQF3d2duCSb21tGY1Gqrjw1tYWuJ1sNhuk89bWVqlU+t///d94d0IIKJplZWWI1TQazTPP\nPAO3/ebNm2tra6DtPfrooxhDOBw2GAz4stVqbWpqwkziojcWyGAwgEfn9XqxMQwGQ29vLwbpcrnE\nYjFCh52dHTy2rKwsk8lgStvb22k0GsKIVCoFALa7uzscDiMkra+vb21tRUwTjUbBIdRoNDdu3MBo\ni4qKmpubQeg4ePAg4vWysjJEZoQQOp3+/e9//xe/+AU2J0JSj8eTSqXwBUKI0WgEA5O6OOzz+YDI\nYfZOnTqFHXXhwgXslrW1tWg0iuPmdrtXV1cxtlAoRJWHFwgECNk1Go3T6cSOeuihh1BgvqioSKlU\n4jXvvffeDz74ANPY3d2NbbawsMDlcrGjbDYbor1kMvnmm29i9nw+XzqdBmTS1tYGSqrdbhcIBHiL\nlZUVzFJWPpdkIcQ7Ks3NzThsx44dQ+5HIBDIZDIQ/FKplM/ng444cOAA9CaTyWSz2VAoHR0dfr8f\nqtBsNgPoQNaEKkTk8/kAQK2urlKV3CiEZHp6msFggCXV0dEBhSUWi2k0GnUXJxgMokrFhx9+CChp\nYGBgZWUFaRWXy9XQ0IAME51Oh34Ui8VerxfHsqura2JiAj+dyWSgCzKZzP/+7//CiKLCBez08PAw\nMhYqler1119HsTgajVZWVob0m0KhQL8JgUDw2GOPwW6l02nqNoLD4YDJuX79+u7duzEnfr8fl4F8\nPp/dbsfI+Xw+muQSQnZ2doCnjY2NSSQSWHStVjs6OoqndXZ2IikSiUTQkJcQIhKJ3G432KEulwvG\nprOzc3Z2Fp8XFhb279+PBFJDQwMmYWJiYm1tDZxGlUr11FNPodfi8PAw8L1YLHbx4kUsazweLygo\nwA2nnJwcjPbJJ5/EQhNCrl27VldXB60XCAQwpX6/3+Fw4C2kUimfzwcTMi8vD8iwUCiMx+PAG5eX\nl0EFlMvldDodVq24uJjBYGBzqlQqPCoQCGxvb4Psp1artVotnIlXX30V8Glubu7U1BTsAciEWFat\nVov8n9lsVigU2N7j4+N+vx9zolKpYDCeeeaZqakp+Ao0Gu0rX/kKdlR5eTmwtVQqtba2hvEolcq5\nuTncGLFaraDCdnZ2xmIxmPyZmZnCwkIY146ODjzW5/PJZDKq5ODm5iYQe7PZjME0NTVR1TGWl5ep\n+pCRSAQ4p9VqFYlE8M+6u7sx58lksry8nLpaNz8/j+Tco48+CgquUqmkmsLk5eWZzWbQg+VyOZbS\n7/cXFhZSVyotFgucmKz885I1YHdUHnvsMZgEp9MJxUEIoW5NMRiMaDSKw7O5uQlPXy6XU62T0fQB\nmtfn8yG1s7y8zGazEZZlMplMJoPop6GhAYkou92eTCahWf7whz+oVCoA9zQaDUZiz549FK0fAR8O\nVTAYRARmNpspOoZarebz+VSXL2hYJCqgxKurq7e2tvDl2dlZfEgmky0tLbgMEI1GKysroTs+/vhj\n1Mzt6+tzOp0wHiKRaGBgAP6sz+fDEzgcTjweRxTCYDDAI//Rj35UW1tL3bY+fPgwlFckEkFIdPjw\nYbvdDq45l8tNJBJQwYFAAC45k8ncv38/voCkIIJdv9+PWlYcDker1UJnXbhwoaurC3dXwV8ghOj1\n+lu3bkH1t7S0pFIp2Inf//73VIlLOAqEkO985ztWqxXsG+hcQojRaHQ4HDiJuAsF7V9SUoKMUU5O\njs1mA3Hm1KlTPB4P/koqlYJ1SafTlZWV4ImAFoSFe/fdd1E0eWtri0ajwbqPj4/jioLT6aTG4Pf7\nqXvT8XgcEXZpaalarYZnMz09/V//9V8nT54khCBwxMjLysqw7gaDYWxsDF1Ldu/ejfW9evWqXC7H\n7F2+fPnQoUNYl8HBwXvvvZcQUlhY2NHRgftYP/3pT71eL56WSCQwWnwfIpPJ8vPzsdWpIsIymQyt\nnAkhFRUVWq0WCcLS0lJM+969e5ubmynnqbCwEMmzf/mXf4FfmE6nGQwGHqtQKCoqKuA7mkwmeHIc\nDufNN9/87ne/iyfg1aqrq61WK8YgkUiUSiWOlVqtxmNVKlU8HseqoR4jnLny8nLEcAcPHkQDbuzD\nTCaTrYX4eSWbA8tKVrKSlax8ISWbA7ujYjQaEbuo1WpEG+3t7devX4cfp1KpysvLAc54vV7AF3Q6\nHSAhIWTPnj3FxcVIXDGZTFDGOzs7l5eXEYU8+eSTt2/fhjfa29sLqlhbW9vw8DDcxoqKCqfTiThm\namoK/rJcLmcymVTL5p6eHoAhGo0GAU1paen169eB762trQmFQnCXZTIZ4CPknIDzoO4U0Jv6+nrQ\nl10uVzgcRqAzOTmpVCoBEHE4HESi169f/9rXvgZv1G63z8/PI5Nht9uB7WxsbBQVFSHlMDs7+/Wv\nf50Q8vTTT/f09OBRjY2NQ0NDSJyEQiHQuGdnZ0OhEIDHBx98cH19HZk8q9UKqConJ+f1118HZKfR\naKLRKOKqaDSKWLm7u1sqlSLQYbFYY2NjyMGEw2GkNJxOZzqdRkjEYrEYDAbVKATQGZPJ7OrqQsA3\nNjYmFovxhOLiYtC46XQ6l8sF3/o//uM/mEzml7/8ZUJIJBKh7lfMzc0hApiZmTl48CDiEhaLhRQL\nijsgVHW73Xv37kVVlM7OTqpchcFgQJBx4MABJIe4XC6VZkun0xKJBIHXzs4O3tdisSSTScQxg4OD\nq6urAMFKS0sRbTz33HMWiwWDJITs3r0bs2c0GrFSSCmhCr5er5dIJNhaeEFCSG5u7sjIyL//+79j\nzvV6PXby2bNncZuYECIWi4EfWK3WlZUVRI2ZTIYqwCaRSJB24vF4f/3rXwFKj4+PY0JwAwF4Yzgc\nvueeexCeIiolhJw5c6anp4fCohgMBp5WVVWFa/j79+//+te/jrjZ5XLhdvPVq1dPnjyJ3RsOh5FI\nI4QEAgGqyH1VVRWmd319vaurC4BHTk4OMEzsK+wcs9mMU5mVzyVZCPGOyne+8x1saNQ9IoTU19cv\nLy9DDSWTyby8PFz/Ki4uBo40NDRUV1eHIzEyMvLcc8/BgFksFpzkvLy8YDAI67K5uZlIJHAs8/Ly\nYH5YLFYmk8FR5HK5oVAIIBggNfJZuXqc6mAwSAGD9fX14ALgmQBe2traVlZWAIZQ9RSWl5fvvvtu\n2Mjx8XHcOiKfVRckhBiNxgceeAAW9/XXXx8dHQW0NTc3B7wFvwIVgKQRxhAIBFAsbnFxUSAQQJHN\nzs6CeG0ymahWWy6XKx6PY3JCoRCALw6H09DQAEMiFAr37NkDCDGZTFK1JAoKCoDzuN3uAwcO4O+x\nWOzQoUP4iYKCAjgQtbW1FosF2ofJZGJKeTwel8uFlpfL5Ts7OxQYBXuQTCYFAgEyN7/+9a9ra2uR\nQXQ6nYBq9Xr9c889h2tPer3+mWeeefjhhwkhFy9ehG2Ix+MvvPACbLPf79/a2oIrwOPxkE7D3S9g\ny3a7PR6Po+hDTk4OvomKZXBoqBtsDAaDTqdTbQrQLIYQotFoYP7tdjvV9Nlqta6vr8PSxONxsMMr\nKiqKiopgSOh0uk6no5gIcNQaGxs3NzexMZRKJQUpt7e3w4E4f/781NQUBgarDNSuv78fvhEqrcBw\nIp2JASsUCtBA9u3bFw6H4SdxuVyLxYItV1RUhLfYvXt3QUEBRaZAux9CSCQSQYmWhYUFPp8PS+9w\nOLxeL+DNn/3sZyjP4XQ6hUIhdhSVAC4sLJyfn8d+k0ql6XQav9vY2IgtPTAwcPz4caS6XS5Xe3s7\n3v3DDz+Ey8Xn8xOJBK5t2O32nJwcVIHJyj8vWQN2R+X06dPws5LJJG7/qFQqGo0GlYemJzA/MpkM\n5icvL8/j8eDIbWxsyGQyhAuRSARRTlNTk9PpRJgyMDCwvr4OLc9ms3FOhoaGuFwuLI3X63399dfh\n5Or1enABxGIxnU7HabfZbF1dXehekclk8Ni/rbh66tQpig3ocrmgp1KpFIPBgNLs6empr69HNLa1\ntYWUhtvtDgQCYAD+8Ic/PHbsGLSVzWZDvHj58mW9Xg8d7XQ6GQwGMhnJZJJivgWDQcRPfX19eJTZ\nbO7s7IR+3NjYSCQS4NdRJXzQYgrTy+PxlpeXMXtutxuT4PF4xsfHv/rVrxJCbt68WVlZSfUOhU/g\n9/tHRkawKHQ63ev1YgwsFgthKJXwIITcf//9Y2Nj+OmNjQ2Q3CYnJ4uKimBdaDTa9vY2VPDm5ibU\n3yOPPEKn03/5y18SQkpLS59++mncS1tbW0Oy6qGHHvJ6vVT1rJycHJjkvzWchYWFCJsEAoFarUZk\nEIvFcBdNLBYvLy/jIq3NZsOi5OXlFRQUQO0mk8loNApDsrOzg4UYHR3lcrngDdJotNzcXLxsfn4+\nIrDKykqBQADOajQaFQqFCJvOnj2Ld+RyuTU1NdjqFouFzWYjq2cymV566SXyGT+IOiAajQazJ5FI\ncFL8fn8mk4GluXHjRl1dHQwqjUaj+KsdHR2w02jLCd5EY2Mj0roGg6GqqgohqdPpzM3NRRQoEong\nwO3bt8/hcCAsvnXrVjgchqXh8/mwkRQZhBDC4XDg/7W2tnq9Xjy2sLCQxWLhBA0PD4NFdeXKlb17\n9+LkLi4uTk9P49QEAgHsvcbGxoKCAsxkTU3N2tra9773vX+sPLLydySbA8tKVrKSlax8ISWbA7uj\nIhaL4ZlSvYyBOMHBF4lEPT09cPwBUxBCYrFYY2Mj1SOxvLwcnmBJSQn+SKfTa2tr4XGLRCKNRgOP\n+MKFC4CtLl68KBAI4DujNyOgLdQ4J4SkUqloNIokAfjNiCf0ej0c29XV1ZMnTwLTm5yczM3NheNP\nxW2BQGBzcxMwTk1NzerqKpxfp9OJUMxgMNy+fRsDXlhY6OzsxE9Eo1FASTKZbGlpCS0nlErl1tYW\nYK6Kigp46FKpNBKJoKRTU1MTkJl77rnH4/HAjxaLxUKhEBFhJpNBGgNxJ8awubnJYrGoQlAIT6uq\nqpqamvBlv99PMaf37t0L13hqasrhcFA3Ex544AG88tLSEqaUwWCkUikgomazmYKzGhoagKNGo9F4\nPA6nOxwOV1ZWIgCiKsxKpdLXXnvt6aefJoSwWKwrV66A95+fnw9c1+fzJZNJzH9paSlopYSQ3Nxc\nxNBerxcBKCFkdHT0zJkziBISiQTWOhwONzY24gvFxcWASSUSCZfLBaUeHEXMA41GQ2h49OjRpaUl\nsDGj0WhhYeFTTz1FCPnkk0/wzZ2dnaWlJezk6elpJpOJKBx5UEKIw+FQKBSIQmpqaigo+z//8z/B\n9lxZWcnLy8PryOXy5uZmxNb5+fkIKHNyctLpNOYhFAolk0mMTS6XA7pUKBROpxNhmV6v39raospc\nITRHaWlgm5lM5vjx47hjoNVqqR4CmUzmJz/5CSEkLy+vsLAQ6S69Xo+9J5PJJBIJ0AiXy4UIb2Bg\nYGNj4+zZs3jN4eFhRP9g6mNrORwObBIajYb+14SQsrIyBJejo6PBYBCzhxX8/9MdWfl7kjVgd1Ti\n8TjglKqqVnic9wAAIABJREFUKugjk8nU3t5OkeCVSiXQG5fLRbXaCgQC0MtInyBxolAoKD73xMQE\ncK1EIuFwOGCKmpqaoAL279/vdDqhp/bu3fvRRx/hqLS0tMCiOJ1OHo+H1HQkEllbW4N1MZlMGMOX\nvvSl6elp/JHD4ZjNZjxBo9FQ2Cafz4fqt9lsdXV1SE07HA7YCYVCgbYjhJA//vGPLpfriSeeIH8D\n45w6dWp5eRl5QbPZ/Pbbb8OY+f1+WHc2my0SiWBUOBwOLFNfX191dTUY0sFgcGJiAv8rGAyiih2T\nyaRqXFVUVKyurgIp6u3tBbbG4XAmJiaAktlstgMHDmBOLl68iDl3uVwajQZoYWFhYXd39xtvvEEI\nwfMJITKZbGtrCxSYmzdvtrW1AYCamZnBUnZ2dtrtdhgzdKMGUpfJZIBnbmxs1NbW4jNyMFjZ5uZm\nJEhGR0fr6urw7kVFRTqdrr+/nxBSUFCA27Uulys/Px+Ku6GhwePx4GmhUAhjYLPZTqcTCt1oNOIS\nQnd39/LyMnWRNpVKfeMb3yCErK+v4xYdk8kMhUK4leFyuXg83v/8z/8QQp555hmq59mDDz4IyBqd\ncfCaqVSKSkQplUqsoMVi6e/v/9nPfkYIodPp2Aytra2jo6OYMaFQ+OmnnwItrK2theldW1srLy/H\n/Gu1WpfLhXYNFy5cAI4Kc4JrXmjlheVuaWnBa/b29jY3NyO1XFNTs7GxQVVvAq47NTV11113IeWW\nyWTm5ubgAhqNRuRfUX8AjiMhBC7m8vKyRCLB/Hs8HgaDAWu3d+9e2OBMJnPhwgVcWo/FYsFgEKcp\nHA5jQiorK2k0Gg4pl8vFi2flc0kWQsxKVrKSlax8ISUbgd1RycvLAwCCPkmEkEAgYLfb4RJOTU2p\n1WpQ9XQ6HYKqv/71r4FAAOjEtWvXKisrEQmJRCLQHzY3N6VSKSBEtHzE1eBvf/vbICuPjY1JpVIE\nN7hUC8fTarUCwvJ6vahCSwjh8/nJZBKQDiiIhJBkMslms8H36e7u/upXvwr3eWpqioLvkskkwBDU\nI0Z3q9raWsRqPB5vfHwczvLJkyc/+ugjDL64uJjiNGcyGYBvW1tblZWVgHGi0ShCpfHxcY1GAxoC\nxZns7+8vLy8H3aOmpubIkSN4gsfjwTc3NjaGhobg4JeWlnK5XDyNy+Ui0pqZmfF4PJjepqYmilYe\nCoXAfMMtb8zD5ubmvffei9iLw+HgFeRy+ZEjR8BJAbgKGG10dBQrKBQKW1tb8ZDh4eHt7W183rNn\nD+IVFouVm5uLJ2xubvJ4PDj+EokE+Cq8ewQZRqOxoKAAd9jdbjdWMJ1OezwexFIffPDBiRMnwNgu\nKCgAsdNoNFZUVAC+Li8vBwDLZrObmpqoVpDxeBwlJEpKSrAZUF0eWO7w8DBgUkLI4OAgAguHw9HX\n1wfu4v79+9fW1nAZwGg0Yo+Fw2E6nY7oZ3V19datW5g0NB8nhKRSqdraWsRM29vbLBYLGKNMJsM3\nXS6XxWIBEKfT6cLhMK7nUxh7TU2NVqtFe1iJRJKfn4/gnioNIxKJqMjbaDTW19eD6Oh0OrFSuNEP\njkwgEJBIJMAAg8EgwF46nV5dXU31IcPvjo+Pl5WVgfKzsLBQV1eHaEyj0SDC9ng8LS0tAJyDwaDF\nYsEJKiwsBDKPjmUIkfV6PTZ8Vj6XZA3YHRWqRAVqzBNCFhcXuVwuMHEajSaXy6mO6UBIcnJygsEg\nDnNra+vm5uZDDz1ECJmcnMQZ1mq1/f39eFpJSUkmkwGUsWvXLuholOcAfLG9vc3lcnGwMRJCSF5e\nXiAQwKlDcTbgjbm5uTh+Fy5cSKfTYO0/8MADIKcRQsRiMUbr8/lEIhEwn5mZGYqm2N/fDzL65ORk\neXk5/tfNmzcbGxuBPZ4+fRpwGW4OoVrP5cuX6XQ6dYkNVRPRNgU3ih588EE8/8yZM9PT01AcqAYE\ny1pTUwNrarFYjh8/DgsXi8VMJhNebWtrC4gNCJzQTU888cTS0hLqbIEQTwiZmJhoamqCxuFwOJFI\n5M9//jMGBkSupqZmcXERZkAgEGQyGaDEhYWF6NVZVFS0vb0N1GhnZyeVSgEMbGlpQXrJarXec889\n0LA9PT2PPvooLFwsFkPmpq+vT6PRgOtfXl7u9Xqh7CYnJw8fPkwIWVhYUCqVVHsdk8lE2Qk4EHw+\nf2pqCmPQarXYWgcPHnQ6nfgjl8s9ePAgVZUfqKzX61Wr1bBbg4OD29vbWCC32w32XXl5+fT0NOzi\ne++997Wvfa2vr48QEo1GkWs8ePDgK6+8Ai9ncHDQ4/FQQBwqRs7NzVVWVsJGjo2NUT7TysoKntDa\n2jo1NQWDbbVat7e3gVhSlTMnJiYoMHBlZQVkfULI7t27KZQyGAyiahc2J+6oLS4u4ndbWlocDge8\nq/vuu++NN97A7D344IN/+tOf8IWlpSX80WKxgBra1tZGp9Ox7i0tLSqVCvt/dnYWB5BGo3V2dmL+\nm5ubc3NzUXeqoaEBXhQqgcEfRcfXf6Q3svKPJEujv6Py9a9/HYrV7/dDQQuFwlAohFPN4/GEQiGO\n5djYGDQLn89XKpXY3KhSc+TIEULIyMgIDFgkEjl8+DBs0tLS0pNPPgl/dmtrC57m3Nwcm81GaDI9\nPT0+Pg7Hc3p6Gse+vLy8p6cHOYDCwkK73Y4M1ttvv41USm1tbSQSwc8pFAqPxwNTZLPZqBZT6XQa\nTXihZ2H5aDQanNlkMul0OuFH8/l8Ho8HtfjNb34TV6x0Op3VaoVu8ng8f/7znymSC0640+m02+2o\nwfPEE0+g2M8999xz/vx5XMyKRCLoKkII0ev10CY/+clP1Gr1V77yFULIpUuXFAoF5mFzc5O6Z5ZO\np9EueXV1taioCGvh9XoR1OJrCNESiQRVXqiwsBAs+ddff526Gz49PV1WVgZD0t7ejif4fL6NjQ2w\nWkBqgK3y+XxIFAUCAa/Xizpbfr+/srISGr+iogJm/s0333zssceoL0ciEVgalUqF0cLcwpBvb29b\nrVbMyfDwMBYCl9UQhUulUvARFhcXhUIh7LTNZisvL4cpYjAYYJFcu3aNzWZD23Z3d0ciEcyew+EA\nDQRbEc6E2Wy+9957Me3r6+tY65qampWVFSgZn8/37rvvYufgmYQQsVhcWFiIrQ6aPhV0YrRarXZ9\nfZ26STYzM4O/J5NJzPns7KxAIMCWDofDmUwGi1VfX48ZC4VCAoEAFreyslKv1yPYYrFY1Gjz8/Nh\n7bhcbmlpKQZsNBqx59vb2+PxOCwcdU9ZKpVGo1FY+r6+vlQqhd1Lp9MxpVKptKenB37SrVu3SkpK\nEK5VV1fDxWlqauru7saqabXaiooKFL3Myj8v2RxYVrKSlaxk5QspWQjxjgqbzQbEf/LkSXxoaGiI\nRCLANNxut8/nA734vvvuA/MKdEQKlEin0/CCZTIZ/Eculzs2NoZUR3V19cbGBtxVnU4H2JDFYi0v\nLyP3Fo1GeTwe8EYWiwVPMDc3t66uDnDK7Owsn89HHNPW1oaBWSwWFMUnhKB3MP5jTU0NnNlYLMbh\ncJB30ev1sVgMgdfIyAic2dOnT2u1WqBz5G8IeC6XC4CMWCwuLi4GzzgcDnO5XLixwWAQvjOKKdx/\n//2EEJPJhPSSSCQ6ffo0fPYXXnjhlVdewatZLBZMyEsvvXTlyhWKqU+12BCLxYjwuru7/X4/XofB\nYJhMJgQHUqkUKSUej0en0wEE1dXVHT58GMBgW1sbMlg7OzterxdTLZFIbDYb4on+/n5MaSwWq6+v\nx+yZTKZTp04BGDQajUiz8Xi87373u8AVUaocEKLRaEShjfr6+uvXr1N9T7q6ujCedDqN0cZisUQi\nATAWFY2xgk1NTRgMupbgJ0wmE4CvysrKtbU1cBe9Xi+NRkPkl0gkAN8dOHDAZrNhMDk5Oe3t7bin\nPDk5iXl2Op0UK726uvrSpUvI3pWWlmLO9+zZw2AwgCsiWKQiMEwIj8dzuVx4C7lczmAwEDLy+XzE\ncOPj421tbXiCQCCIxWKYh4KCAhwEcHex93bt2rWzswOsL5PJAB5QqVQikQiRkEgk8nq9iOEaGhqw\nlBUVFQwGA9xCj8czODiIGE6tVgPMmJiYaG5upoqi4ZtOpxMpZ0KIVqvFsSWETE1NAV1gMBhFRUV4\niz179thsNuy9jo4OjHZxcVGtViNuKygoAPKZlc8lWQN2R4Xqykq1RYb6gJbXaDToVkwIMZlMQEXq\n6uqMRiMoCRwORyAQUO08qEtOPB6P4lvz+Xzobuq2ltVqpdPpUEP5+flCoRCHimoyOzs7K5VKqSrs\nsVgMZzWdTsOKRKPRVCoFk1NYWFheXk5VgqASdYQQKLWZmRmfzwfdTVUlR20nqp385cuX8eKNjY0A\nA7VaLapUEEKQ9MJ5VqlUyD95vV6DwYDPVVVVMB6ZTIbNZkMFvPfee62trfhfTqcTGjwQCGxtbUHD\nom0NbnS98847UD0ikai6uhoKBZQTqL+xsbHjx48TQuRyeW9vL0br8XjOnTuH8kKbm5uPPPIIfoKq\nSl5WVkan06FtOzo6wMtQqVTT09NY4hMnTjCZTMzqwMAA0pkrKysWiwXppdLSUjDpMe1AAsvLyzOZ\nDAAotVp99epVMCDAGieEuN3uzc1NQJq//vWvRSIRBpybm4splUgkEokEToxer8fz4/F4eXk51rqx\nsTEnJwdba3V1FTzy/v7+lZUVgJ86nW5+fh5LfN999+Edx8fHb9++jRL1PT09fr8fTJMLFy6A7L62\ntsZisWAw3nvvvfz8fABx5LNi/C6Xi0ajgcggFAptNhtY+2tra2A5uVwuFCrDjNXU1FBLjKtmxcXF\n2Az4Y2lpKZyb1dVVQIiRSMRmswEhfPbZZ6emprDluFwuXtNqtVLN2+LxeENDA9XVDJtBq9W++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FxNi1a9eKioqw3xKJxKVLl2CGE4kEbIZCocjPz4fZm52dpdPpsJ0rKysAFcRicSAQwB+NRiMe\n5Xa7qRKj8XgccwuBJ9Hb23vkyBHsWIPBkEwm8YRLly7hsXw+f2NjA/PPZrNxuSIrn0uyObCsZCUr\nWcnKF1KyLMQ7Ks899xw+7OzswHcLhUJbW1tw3zKZTGdnJ3CGZDKJ4Ka7u7ujowNeZ1lZWSwWo9r4\nwtHb3Nw8dOgQALG+vj5ATISQ9fV1OJVlZWXT09NwukdGRqgruiKRCJw9dIbFY+vq6iKRCNCqnZ0d\nyjVmsVgAoJBCwE9wuVxAlxqNRiAQIOC7evWqTqcDexiUOUIIjUbj8XjwfN1u982bN5GToK6j/vzn\nP3e5XN/+9rcJIS6X69ChQxi8QCCAL5/JZCoqKnp7ezFIRHi1tbVLS0vwuAOBgMvlQgQQCoUQeQwO\nDhYWFuLdT506ZTabAScqlUqEQVtbW01NTfD6l5aWdu3ahZmkKq8PDg5qtVqkG3NyctDemhBCZQ2l\nUumDDz4IdOtXv/oVIQQ3JZ588knEKy6XS61W4/IswEAgSA6HAykWr9ebTCZBXXv22WetVisCLBaL\nhXDQbrdfvXoVwdbY2Njdd98N9FgmkyGG2N7eTiaTWCy/36/VarGjDh8+jDEsLCwAhSaE8Hg80FBR\n1QLBNIfDkcvl6JN56NAhvA5I5wjvhELh5cuX8e7/93//h1TWhx9+KJfLUeuLx+Ol02nQ+ldXV3/6\n058SQths9scff0xVqDp//jwu+ZrNZmyGzc1NGo1GxYs2m+2+++4jhMzPz2OB1tbWNjc3EdQqFIry\n8nKwQHft2gUqv8FgqK+vR2CXSqXm5uYASO7atYsaOXWxXaFQhMNhBLt+vx+vA7IlNkY0Gm1tbUVe\n8Nq1a5jGRCKhUCjwBFznwB8FAgHSbKdOnRIKhQiXDx8+jG41BoMBNT7IZ2AsOKVisRhn3+12c7lc\nnPd9+/axWCwkzLLyz0vWgN1R+fGPfwwdUVxcjEM7MjISiUSws1FogKrMTXXw6ujoAJ7W3Nzs8XiA\n3hQUFOCEd3V17ezs4KzSaLRPP/0USEV+fj6g/IKCgvHxcZwTqogRIUQul+MLzz///PDwMM5qU1OT\nz+d4iMNSAAAgAElEQVQD1JbJZKD1bt26JZVKAallMpm77roL+GcwGASSJpFIAoEADBjyMfhye3v7\n36JbwPpqamqKioqg9QKBANjJd999N5fLRT+qZDIZCoWgu7lcLsxPJpMxGAzIw928eROTk0qlzp07\nh0tp8/PzNTU1uDjV3NwMfYQKFEBsQIKHdmOxWFD9er0+k8nAYOfl5S0sLCAXwmaz8ROJRIJqFX3/\n/ff/5S9/wfyvrq7CNuTl5b399ts/+MEPMLH3338/SodMTk4iEXjs2LFjx44BaispKQmFQljidDqN\nR50/f16pVEI/yuVyPp+Pn+NyucgemUymwsJC4LrRaHRxcRH5mFu3bsHU1dfX0+l0TDX8D5R3mpqa\ngq5cXl7mcDiwLtvb27AHarVaJBJhxiQSiVKpRNLIZDKhLIvZbEZ/ZzzBYrGA9+92uwHZra+v9/X1\n4Wk7Ozvl5eXAG9VqNfpWCwQCq9UKS/9v//ZvhBC8ZktLC0guTU1NyWQSGwMQJWUC8VgUlccY5ubm\n6uvrKcYT9j+TySwuLsbNBNTLpxKH8A9UKlUikYARFQgEq6urmDS73Q5rarPZamtrqUIn4XAY00s+\na/dst9uBZOJYYWDz8/MikQjzoFarb9++TWXyqCpZZWVleKzb7aaKcuXk5MDlKisrM5lMmP8nn3zy\nzTff/M1vfvOPVEdW/q5kc2B3VN566y3cy1lYWICyqK+vFwgE2NnRaHRoaAi9NkpLS2FmwBHAibJY\nLGfOnAGhYGVlBYWgzp8/z2KxED/J5XJcKMFPwIqsrq42NDTAgHE4HLfbjeiHwWA8/PDD+KbdbsdP\nzM3N0el0nLpMJgNPvKOjY25uDppdp9N99NFHiE5cLhdS0CAI4AsKhWJ6eho+LKWsXS6XVquF6yqX\ny0dHRzEGJpOJwzwyMtLc3IzQEFX7YERPnz6N3EB+fr7b7cbTcnJyEILYbDaqzCMyhfDE6XQ6dXmo\noqICWtVsNh89ehTqz2QyQVH29vbW1NTgJ1paWtRqNbzynZ0dWDUWi1VRUYH83+uvv87n8/F5e3sb\nGX6BQPC9730P1e0mJiaOHTt27tw5zANyfvv379/Y2MDN64mJCSaTicUqKiqCCayqqurv74etKi4u\nFolEsNN9fX2wslVVVZubmxh5KpXKycmBrhSLxS+++CIh5PLly1TQyWazlUol7BZV4Tcej/N4PMyJ\n1+vFzmEwGB6PB//r008/LSoqorqIgdXS1NR07tw5LCUqJWJzLi0twfUBeIAZw07Altu3bx+iEJFI\nJJfLARUUFBQIhUIYkp2dHWRM1Wp1LBbD66RSqY6ODsyq0+nEHvP7/RRdUK1WLywsoGuP1WrFZhCL\nxTk5OcjeBYPBY8eO4QlMJhO5z7q6upmZGazFb37zm46ODhgY8BsJIUKhcHh4GOO/7777rFYr9qHB\nYIAt5HK5JpMJizI3Nwf7l0gkbDYb5lkoFNLpdDhwoOziOEulUhwlmUyWTCaRKC0rK8MIPR7P9vY2\njOjMzAyVVc3KPy/ZHFhWspKVrGTlCylZCPGOysMPPwx3dXt7G+4hcktIkExMTCgUCriuBQUFcHJR\ndQlBRklJyfr6+uOPP04ISaVSyCL09fXp9XqK2IZy8oQQv9+PdMKHH37Y2NiINM8vf/lLqVSK9BKX\nywV1e2FhQa/XA7JbXV3d3t4GvAncjxCSTCYLCwsB/tDpdKqlBerukM86xAPCqqqqGhgYAIP8/fff\nB4dwbGwsLy8PyBhq28O3pdFocPCnp6e1Wi2etri4KBAI8OVwOIyIs7Ozc21tDU4unF9CyNWrV6li\nVOhT/PzzzxNCrl27Bid33759qI5PCNna2jpy5AjCU6rnPYvFGh4exhPy8vKYTCYSJM3NzYCPdnZ2\nqIL3n3zyyf79+xENUF2PsTRf+9rXCCFKpTIUCiEa4HA4WCDAU4hpHnjgAWRNCCHl5eWIIxEWo7Ds\n448/TnFKVSoVVmptbY1GowEUzcnJyc/PR3RiNBoxjdFoVK1WA9rKycnhcDgIOjs6OhAiMJnMZDKJ\nhGUoFELea3BwUCwWA2dLJpMSiQRRIBUiWCyW/Px8qj10W1sbLmD87ne/Q/YUvTqpyi9Uz8zi4mIQ\na3//+9+nUqkXXniBEDI1NbVr1y4kiqguBGKxWKfTYasfOHDg+vXrVBdWTK/BYIhGo2grw+Fw8vPz\nEeSZTCYEtQaD4ejRo8C0X3zxRYrjd/HiRRwrNKukWnVvbW3hCW63G1z/7u7ukydPAtP2+/3BYBBw\nOp1Ox0G4ceNGYWEhlbTGoqCrAw5CLBaj0WgIrG02G55fWFjIYDCQMlAqlVVVVSjA0dTUBDy5tLR0\nZ2cH8CkuhL300kv/WHlk5e9IFkK8o2Kz2aBxqEJ5QqGQQopkMtnKygqVYgFcMzU11dDQgOsmQqHw\n0KFDsBNcLhdqV6fTqdVqfM7NzV1YWMB/XF5ehrLQ6/W3b98GdBONRk+dOgXdYbFYoNGampqWl5dB\nK08mk16vF+bQ5/MB4udwOC6XC0pzYWGBulDM4XBgLJlMZm5uLpTmxsbG2bNngVZRlrW0tHRpaQng\nG41G43A4sFVf+tKXoMTff//91tZWjNxmszU1NQGxGRgYABl6fn5+YWEBCbP+/n5o852dHcqQQxEA\n86TT6YCJQqFQOByGCm5tbb1+/Treoq6uDjjPT37yEw6HA339xBNPfPDBB3haU1PTq6++ipFTZfeO\nHj06NDSE/BCbzYbKg1CgK8W5P378OJRXOp1eWlqCxl9ZWdHpdECNfD4flZiRSqWgRbDZbCaTib/3\n9/fjQ15eHqVhe3p6RCIRgMGioiKAYCaT6cqVKyDOqNVqs9mMHJjT6QSNu7KycmNjA7fL0UCOEMLn\n83NycjBvHR0dqVQKToxUKoWVFQqFZWVlyIMmk8mNjQ1Y/RdeeAGlNYeHhxOJBAxJMBisqqrC0yKR\nCPwAo9F45MgROFLhcJjP50PjgytECJmbm9Pr9fAPxsbG2tvbsYJUExa3272zs4N9qFAoWCwW7CVl\nh7a3t6n00rlz53Jzc0HuqKiowKGYnJw8efIkHIjKysrR0VF4ZpWVlbibLBaLw+Ew5v+VV14RCATg\nTD300EM4QWKxuKSkBAA4laWWSqVyuRyn5tVXX/V6vWDZPPzwwxcvXsRxnpiYgBsEkB92a35+HnXF\nent71Wo1Mribm5vYmVn5XJKFELOSlaxkJStfSMlGYHdUXnzxRWT4p6engWvV1tayWCx8Xl5eptFo\nSKpzOByAMGq12mQywbljMpmBQAAZbz6fT6XNo9Eo3ENUrIGbLBKJAHrQ6fTz58+DlC+Xy+fm5qh6\n6hhVMpmsqKgAttnX19fe3o4kdiwWA4QSDAYjkQh43nfffffk5CTiGzqdTvWd2trawhiYTObCwgJ1\nRRdfcLlcbW1tCPgEAoHBYIDjubW19ac//YkQ0tHR0dzcjC+jMhACzfLycozW6/WqVCr8bklJCWIF\nFotVWlqKahTNzc2Li4sIbpRK5ccff0w+64qJP7rd7q6uLrjtqOmO+Z+ZmYEf/ctf/jIvLw+Ttra2\nhsG43e6zZ88inrhx44ZYLEZ0YrVaAdlxOJyCggIUhbpx48bs7Cyin1AohEctLS3xeDyqTMPa2hpg\nzHg8TvVCk8lk4NGx2ezJyUnAenw+HzHEzs7O7du3qZaYV65cARGf4nAWFRVVV1cD2kqlUhqNBtus\no6MDMZzX60WrTEIISKqEkP7+folEgqsdwWDwvffeQ6iE7laEkEgkMjs7i5Gz2Wyn04n5Hx0dBRrG\n5/Orq6tRfpdOp4+OjoKacdddd2EA7e3tn3zyCVAHmUw2NjZGNZnEnheJRJubm6BFaDSa1dVVIIfL\ny8uIWS9cuHDkyBHsVcwGdpFer8dSVlRURCIRPAEF5vEfg8EgNuSJEydA1SGEDA0NJRIJ3HNwuVyI\nHefn5202GwK706dPU1VgzGYzMNXy8nKpVIqa0QqFArslGo3ixgX5rK86lvv3v/89YtZEIlFaWorP\nAwMDN2/eRJD3/vvvYymbm5t9Ph+O9qeffoqIMyufS7I5sDsqL774IqxOKpWCwUBbZGBNJSUlDocD\nX+Dz+aDO8/n806dPY3Pn5eUFg0GopKNHj4KAW1paarfbgQqiHh1sA4fDwTmsqamZnJykGrpPT0/j\nCUajEUgmbmshe7SxsREIBADf3bhxA8oukUg0NjaCFalSqVKpFGzkhQsXoCPi8XhXVxcUusVi0Wq1\n0DjoVkwI0Wg0yWSSIl5C7RJCqqurwcRzu90lJSUY+VtvvVVSUoIcYWlpKYxQXV3dp59+ip+Ym5uD\nipfL5QqFAsgkutGDX2cymQC4oREMEEI+n19XVwclThWd4vF4HA4HOhGkMlRqdzgc6Dev0+kOHz6M\nz8FgUKfTAZDc3t7GoxgMxssvvwxY6dKlS52dnV/96lcJIX19fRSdOicnBybQ6XR2dHQgH6PRaPC7\nlZWVyWQS1+xMJhNVICoWiyGVGI1G8/PzkRzl8/klJSVQ5VCvGC2l0NlstsPhoFrtIDGTTCbpdDoW\ny2g0Ijl09erV1tZWOEwOh0OpVAIxKygowOSj2Td+RSaTWa1WbNTc3FykVC9durSysoKMkcfjoQp0\nPfDAA9gtr732GiEENUQuXryo0+lg/mOxGLaQyWTicrlwVjKZTF1dHZ5MbcJAIECn0zFIl8vFZrPh\nwNXV1WF6a2trFQoF1iIUCgkEAjxBIBAAJQZVEhgjbDymvbq6Gjbp8OHDRUVFv/71rwkh+/fvZ7FY\nmCiqhn1fX188HsfnnJwcQOWzs7M6nQ528datW1TVNC6XC4t+7733zs3NwdNiMBhisZiaf0wpk8lM\np9PY8+jm+qMf/ejv6o2s/CPJRmB3VJRKJa46UawKhUIxMTEBSvf4+DiHw6GqnYILkMlk+vv7wdLe\ntWuX2WzGkbhw4QIYDfCXcZhbW1upViP19fU41Q6Hg8/ngyPw2GOPhUIheC1+vx/WpaqqSigU4guI\nafDTdXV1UDccDudXv/oVytEODAzEYjEqOoTy2tjYWFpagpWtrKyMRqPQ17FYDMZSr9cvLS0hnmto\naNBoNMgNjI6OItWEIsVQBzQajc/n47Svrq5CL3s8npaWll/84hfkb66gCoVCoVAIpYmruHD2XS4X\nVHAmkykoKKDa5ppMJuiOmpoavALSeJhJ5H6gbakk5cMPP0zxFJRKJe4AEEIEAgFUzw9/+EOhUIiq\nknq9Hm2iCCFyuRyqNjc3NxwOQ4EiawXdvWfPHkzv1tYW1U6lt7d3cnIS5lClUmGB+vv7hUIhrI7D\n4RgdHQXTQSgUItqYmZlxOBxw9mdmZqRSKSKk6upqWPpQKDQ9PY3fLS0thR3Ky8ubmpqCnVhYWNje\n3kaqicfj4dJFXl5ee3s7kpQajWZubo7yumCD6XR6bm4u5spms8XjcUQnPp8Pm2FycvLZZ59FQrSg\noMDpdOI/7tu3D1Maj8cDgQAioYMHD46MjOA6h9/vxyYUCAQ7OztwGphMpt1uh7WLxWJ4QigUoq7h\nI2bFG5WUlODdRSKRUqnE78rlcrPZDF9Bp9OBYYS6wIhE3W53TU0NSCWEEEARW1tbra2tyGzt378f\nGbKioqJoNApPgsViORwOhMUCgQApxpmZGard18bGBp1Op6odIgw9ceLEBx98gBMkkUiQFMzK55Js\nDiwrWclKVrLyhZRsBHZH5cqVK0iQjI6OgsLr9/tra2tBFSsvL6fAkLW1NTS3vXXrFpvNhqP32muv\nNTY2AqnQ6/UglaGoKDxQnU4XDocR6DgcDnh/fX19drsdgd3Y2JjVasUTysvL8cFut9++fRvl0tls\ndjqdfuuttwghp0+fpsoBNzQ0ULTyoqIiOPharRa1ne666675+XlkLxYWFphMJrzjjo4ORD8bGxuJ\nRALo6N133+10OlF1KRqNIiFkMBiCwSAc3u9///vT09OoZ/Hyyy/jCZubm5WVlXgjs9kMxh2LxUJt\ne8yky+UCRqTRaBA3yOXy+fl55MDQNxKhqt/vR9YEl0mBtTY0NMhkMnjldrsdANTMzEw8Hkf8tLq6\nOj09TeWEKEf+5s2bQCnPnj1LxRMulwshWnt7+zvvvINFmZ+fr6ioQJhiNpvxuzQajcFgoK2MTCaj\nGkuaTCaERFardWVlBTElGociR5VKpbDuwWAQlaAx516vF9FYVVUV4obW1lYqdgwGgxjh4OBgXl4e\nKjOVlZXhBjohxOv1IgxqaWkJBoMYw8LCQllZGdCzmZkZsA1TqRQAUkKIVCq12+34HA6HEcTMz8+/\n9dZbSA7t37+/v7//0UcfJYSIRCJgjEKhUCKRUGVZVCoVAq/q6mrUu2IymSwWC48VCoVerxdbS6fT\nUYU2GAwGeq/QaDSxWIzr+UNDQ9i9eXl5PT09+KNQKKQ6NWu1WsSvS0tLCoUCKLHD4bDZbMhovvHG\nG4gjsV5YYrPZjP+FGlcILlErABt1fHz8kUcewY41mUyA7s1m87Fjx3AhhKpkPTIyolAo8L7j4+O4\nHpOVzyVZA3ZHRSKRQAWvr6/j5kphYeE777xz9uxZQsja2prH44EZMJlMUD1zc3MKhQIYY2dnZzKZ\nxI4XiUTI97z11ls+nw86+ty5c9XV1TAJXC4X8B2Hw3nssceg0Pv6+rq6ulDmJy8vD2iMw+GgivH8\n7ne/MxgMQKjy8/NB/EXDCxitaDQaDAZxLKVSKWgIXC63trYW8B2LxaLT6SAo02g0qo67SqWiSvgM\nDg7CDIBJQQgZHh6urq4GxhWNRhsbGzFgiUSCjEI8Ho/FYlDitbW1eEeZTHbt2jVY96qqqvLycuis\nkZERCgPEJBNCfD7f5OQkXs3v9+MVcnNza2trMQ8LCwtNTU0AYBUKBWZPKpXevHkTb8FkMnU6HRau\ntrb2gQcewLvfunUL5jYnJ6etrQ2Xlqjq+7jeh5l0OBxnz54FMDg0NAQ78ec//1kqlX7lK1/BhMjl\ncrxde3s7cObi4uJMJoOU59LSUiKRgO4uKirCBx6PRzE+7HZ7R0cHvvzb3/4WKnh2dlalUsF58vl8\nuAUBRBrOU1FR0ebmJnbRysoKBnbjxg0mk4kxDA4OyuVy2Oz19XW4WWw2W6fTIYuJlj34ueHh4dOn\nTxNC0un0vn37gMpubW1lMhmgpmazGUq8qKiop6cHrAqn00l1J0+n0/DPIpFIUVER/mg2m8PhMA5I\nKpUC+f5vU1xMJvPQoUNwgzQaDTKm6KmN5UaZNFyDm5mZwYZ0u92Li4vYOUwmk8/nw6ByuVzsUofD\nsbi4iNWk0+ngB6GRN2wSh8ORSCTwV27evImDsLa2tm/fPqx7Op02m81ADg8ePAgLWltbazQaQfpv\nbGykLghm5Z+XrAG7o5Kbm4trLtPT0/DytFrtgQMH4I12dv5/7H1ncJvXme5BBwgCIHohwd5JsIgi\nRVGiSFGNVrcUx7HjEq89WTtZx4ljTzabHSe7m6w3ySTjTbLZ2M46cdaxFRdZxZZkKSqURIpi7wQL\nwIbCgkL0Dtwfz/hMZu7MHfv+0Ixn8P6SMB+/79S3PG/bbrfbceL1ej0YZXV19ebmJnxgU1NTgUAA\n7DiZTIIPajQa2hhFJBKFw2GwP5/PB51RLpdHo1HwaJ1O19XVBTMllUqB3eCduFTZ2dkcDgc+88zM\nTPjbSkpKFAoF2NC2bdvGxsbQ1HFychJsaHV1NRwO4wLPzMy0tbWBJdFKrydOnJifnwfKPzs7G4lE\n0Abs/PnzGCQhxOl0gusJhcLr16/DCgkGgzARHnjggcXFRayewWAAZ5mYmECLE3zio48+AkMXi8Xw\nmvD5fD6fD5V5dXWVFm+kzS8cDkcikYB5OjIyAt8PIaSpqYkKLYvF8txzzxFCfvzjH7PZbCxOc3Mz\nEnf+4z/+48iRI2CmLpdreXkZ5sKXvvQlrN7g4ODY2BjY8ZEjRywWC8Rwc3MzFic3N3d9fR2flkql\n9fX1cJ7x+XwYOo8//vhbb70FYwtltBDQsW/fPiRQFxcXJxIJlNE6dOjQmTNn4E0MhUI4LQKBgMfj\nwaapq6uD5Xft2jW9Xo84nbW1tbq6OmR3lZaWoiifSqX62c9+Bh2Fy+V+9NFHKOOUk5ODN0ilUpvN\nBtavVqvtdjvtywWn4PHjx202GwYTi8WcTif+kMPhQMykUqn6+no4qKqqqkKhEETC2NgYLYJls9lg\n3BQWFjqdTvzu9/upO3N6ehqzUCqVIyMj0F3C4TAGlpWVNTY2Bu8dFoR2coH9lJOTQ725d+/eHRgY\ngMmFKEFM0+/341rJZDLMEaXRMDWTyRSNRvG2+vp6WuF6eXkZx7uhoYHqTDRxfmFhQafTobZcPB7/\n24YsafqMlPaBpSlNaUpTmr6QlLbA7inp9Xr4BmKxGECemzdvtrS0ALGJRqPJZBI2RDweB1QiFosT\niQRgNA6HQ9V2kUgEI8Pj8SAWnxBiMBgWFhZgndC6PqFQaGlpCW6PQCCQm5sLC4y2js3PzxeJRFAP\n8/PzA4EA7Ik7d+7gSYVCMTMzA3tibW2NVtoNh8NQMGdnZ0UiESwwtVr94YcfoqZGaWkpHDNGo1Gh\nUGA8TqeTgmB8Ph9dH51O58DAAAws+EVgfMjlckA3ly5dikQiiHHPy8uDveLz+crLy4Gv2u12WkT4\n0KFDCLSbnJwMh8NABfv7+9G8hhBSX18Pp1RBQcH09DSK+SYSCdqzsa+vD6gUShu//PLLGMzKygqQ\n28LCQqQ6HThwYO/evQh8VygUpaWleMBms8FEQL0lRO0fPHjQ6XRiHf70pz/BJDIYDMlkErr8xMTE\n4OAgjM68vDzsGprg0AJgXC735MmThJCZmRmAgaurqy6X69ixY4SQ8fHxEydOAH/evn07tnhwcPCB\nBx7AlDMyMrC/Tz/9tNPpxLeamppmZ2exvP/2b/8GqLC3t7epqQn/TiaTjz32GIxOiUSCYywWixkM\nBs4Aj8ej7QsmJydhv4pEotzc3Pfeew+rNzU1hQBLWthCqVTOz8/jMESjUaAOmBFsZQ6HE4/HYfWi\nqTeM/uzsbDzg8XgqKysxnkQiodPpYAmh1BMhRKVSFRcX48TyeDyFQkH7msI519fXl5mZiTURCAQ7\nd+7E2Gw2G2yptbU1vV4PM31ychIplbOzs7TOFlr54BYrlUpAhVlZWVlZWXjD5OTkfffdh+Pd1dUF\nSMBut5vNZpoQ2d/f/73vfe//xT7S9H9RWoDdU0KWDyFErVYD09BoNMvLy7QbstVqRRAwFT85OTmz\ns7NALUKhUDQaxemnEGJDQ8Pq6ip45fLyslQqxcWORqO4PGjHDL7MZDLj8TjujEAgAC8wmUxisRig\nXyqV8nq9wOUzMzPhsTMajXv37oUQRdg6rqjX6wVXRRAwHjh+/LhIJAJyFQ6HARWi5hCNOnG5XHB0\nV1dXg91MTk4GAgGkPd2+fbu1tZXG2dMK9Gq1Gt6FxsZGQKabm5tsNhus589//rNQKERQSVNTE/wf\nqVSKJuigdj7GgJcQQn7wgx8QQvDaSCRCc3gFAgFAMJ/Pp9FowKe4XK5Op4PEdTgcYFi7du1yOp2o\nd4WMOqy/TCaj/ayLiorA0J1Op81mQ4yMRCJB4vCNGze8Xi+tSRgIBC5evEgIefHFFzFUVJLEOoyP\njx84cAC+Q6VSidCbjY2Nw4cPQww3Nja+/PLLwNwCgQDET2Vl5d27d/FjKBTCYcjNzUVwDSEkHo8P\nDg5Caejq6gJkGgwG5XI5AE+Xy9Xb2wvo+JNPPkHC8l//+teHHnoIukIoFFKr1fAPsVgsnBwOhzM7\nOwtwbHR09Gtf+xpaZnu9Xhzv/v7+r3zlK0DnZmZmdDodfJ8VFRVQ4FKplN1uh8sNFd9pDxQAfcvL\ny263m1a2REIhIYTH49GSUYuLi5D0VqvV4/Eg76KgoAA/JhKJ6upquHhXV1fLy8uRs79//358a2Ji\nQiwWA/xcWVnByFH0Cxdz+/bt165dw/LGYjFcq5mZGTabDbQQjadxijo6OnD3FxYWhEIhGILNZkMU\nfpo+F6UhxDSlKU1pStMXktKVOO4p/cM//ANgBPJpVC5ANiibExMTlZWVtEo9/hGNRhkMBuKmLBZL\nWVkZ0LnLly9DJS8sLNyzZw8glFu3bj355JOoL8Dn86F9d3V1bdmyBZjSyZMnb926RVsC4hOhUGhl\nZQXA4759+7xeL9Czd955B3aDTqdzOp0wU4CKQPl1uVzQ37Oysvr6+jALtIqm8YTQnbdu3Xr58mXY\nLj6fjyY1b9u2Da9dX1+/ceMGbIixsTGUVCCEGI1GZPhmZWU1NjYimffChQtYRgQswHaUSCSo+4DX\n0hA1NpsN3fbVV1/Nzs4GfKRWqxGIPzs7Oz4+jm8lEglkpBJC5HI5MFX0aQRC29XV9cgjj8Bsevvt\nt2nccyAQQKw5g8GorKxEOBktk7G+vr537158t7e3t6urC//WarWwPJBJTYNLk8kkrBC1Wo1DMjU1\nJRAIsOZ6vX7Lli1YKK1WC2wtHA5PTU0h0kckEnE4HGyxTqdDoN2dO3daWloAJzIYDNgoYrF4aGgI\nBr3ZbHY6nahpotfrgSsqFIpf/epX2OLt27evra3BIrHb7VgcFG6HQd/X10crcdTW1sKg7OjoOHny\nJKCCvr6+jY0NFNXNz8/HBhmNRiaTCYxXJBIxGAz8IRLhCSEGg2FxcRGnZWVlRSaTwdjNy8vDTmVk\nZLjdbuwgIYQWFC4pKcGBxGLCIhwaGqJPRiIRhH4EAgGFQoFgS6PRqFarYTLu3r0bVpfP59vc3MSG\n7ty5E2ubSCSSySQABpfLxeVyEXrT29uLTWEymbm5uWhqqtFoPB4PQHjk6RNC2Gx2MpmEDWe325PJ\n5I9//GOSps9DaQjxntLFixfRgZDGiZlMplQqhRvOYrFoVhP5tBtsVlYWdTkUFBTEYjFEiG3fvukC\nGgoAACAASURBVB1XfXR0lMPhoDrA3r17fT4fJNyZM2dwYTo7O+12OypFXbp0yWg0gsuIxWJcYLvd\n3tLSgvt56dIlhUKBN5eVldFqIDwejzKRQCCAELJwOAwIESHFgM62b9/OYrHgvJmcnARnHxwcfPTR\nR1Gior6+XqfTQbi+++67EGAymSwejyO4DmUVIQJ37doFIA5FocDXJicnAQCeP38+EAiABb/22mt4\njBCSl5cHkcNkMj/55BOMHCtJgaC//OUvhJBHH31Uq9WiapfH4/H5fOB6VVVV8DXGYrGZmRnIpD17\n9jQ2NgK+Ky8vx04xGAy9Xg+JIpPJKH8MBAL4bjQazcvLw5p/9NFHMpkMU/P7/Qi4J4Tk5+dj/eG5\noUUZMIuCgoKBgQHMvb6+fmpqCsGHDAYDi4MC/wCir1+/brVaUe+cBvvt27fPYrHgx7NnzwI6k0gk\nNTU1tF+oxWKBlhOJRMBhJycnDQYDdAWUE0SYYiqVAkS8urpaVFSEaY6Ojur1eizv6Ogo7bTZ0NAA\nNWhkZIQWQhMIBODsa2trW7ZsgSoWjUZZLBb+XVFRASfx3Nwc6lXigmi1WgCDGxsbkBMmkwlVrAgh\nx48f/+///u/29nasP7RzgUCQlZUFhLCmpob652i9zf7+fplMBt1oc3NTKBTi2J85cwYIrUql6u/v\nh8YTCAQg/qempgoLCyHyNRrNBx98QLuT4wwsLy/7/X5cEA6HU1dXh2N28OBBXASomHASW61WHN00\nfS5KC7B7ShUVFbjhVGd0uVwtLS3gTf39/TQnSSAQgMuYTCba7Fin04nFYih9GxsbiGt/9tln8/Pz\nocPOz8+z2Wzoj6WlpbjAo6OjiUQC/56YmPB6vZAZXq+XZnTS9rUajaahoQE+sAMHDoB5Id0V1sDQ\n0BBNyfT5fJBPq6urGo0GHqz19fWdO3ciMUCpVCLDtLKy0u12t7a2kk9DD+CGWVxcRIHE3Nzc8vJy\nOKsIIQ888ADEw9raGhanubm5uroaxeIOHjyIv/rKV75y+vRpsBs4vRBEMDIyApF/6NAhLpeL0SoU\nCrAbQkhBQQE46fj4eHNzM1jSzMyM0WjESppMJjwQCoWam5uxDlqtViqVwjf24x//GJ9AazfYrGh4\nj5EHg0FwVYlEcuPGjeeff558Khto3SmoGlwu12Qyoahrb29vRkYGTc3GG2Qy2f79+7FBCPKGq6+6\nuhouFqFQaDKZ4PK8//77c3NzEeTCZDKxLKFQKJlMQj+orKykFlgkEsHIX3rppVQqBW7L5XKR8iyV\nSjc2NvAGrVY7NjYGXcFgMCDZo6Ki4uTJk2gS9uijj9KaW0qlEium0+lkMhkszmQy2djYCE1rcnKS\nBk0MDQ1BkdLpdDSIIyMjA8E7RqMxGo3iSG9ubtJioVqtFgIbiwD5dOnSpWeeeQaZbbR0k06nm5ub\nwyzu3r3b1taGxUH0PCHkvvvuGx0dhSfv8OHDV65cgSzhcrnwWiGzG85a5M7juxsbG1Ag2Gx2dXU1\nTMOrV69SQ3ZkZASfSCaTFy5cQDL1tWvXsP4XL148ePAg5LFSqcRVStPnorQPLE1pSlOa0vSFpLQF\ndk+JpkPW1dVBT6yrq1tbWwNkVFpaSn0AIpEIyh2C2uF7uHPnztGjR6mTDFXPFxcX5+fn4ShyuVzN\nzc1wMyBinhBSXFw8NjaGiO2vfvWrr776KqrmHD58GDpsf3+/Wq2GBwVR8vhDoVCIHGFYMNBnDx8+\n/MYbb0A7zsnJAeBz48aN/fv3Aza02+1sNhv45+DgIM0qdTqdGDmbzV5fX8cDi4uL+EdfX9/i4iKM\nPC6XGwgEEC7Y29sL3VkkEv3+97+HLq9SqRCq3t3d3dbWRlXXzs5OAGLFxcW0oEZjYyMMGpSrh4Gb\nSCTwAIxLeNEKCwvD4TBQo9HRUWyERqPp7e1FT2GNRnP69GlUfRUIBFil0dHReDyON6BFITR0tVpN\nE1cvXryI3SSE2Gw2WKLxeBy7NjMzk5OTQ5OXvV4vnHYHDhz49a9/TQj585//3NXVhaXW6XSrq6vA\n33p6epD6zeVyW1paYL/29PRwOBzEfI+NjcHa4HK5VVVVsGOo98jlcjGZzH/8x3/EGWAymTCPCCGw\n8tls9okTJ2Do+/3+VCqFRXM4HIiVdblcFy9ehBU4Pz9/48YNoHPBYBDfWlpa2tjYwMACgcDIyAg+\nLZPJkMAL1ylWcmVlpaqqCtM0Go0YTF1dXTgcxhZvbm5u2bIFi1NdXQ3jHu5SGDoMBqO3txdBgPDs\nEkIyMzNp8oNGoxkZGcHg6SEUi8WdnZ3ADIaGhnw+H+6C2WwGVpFKpbhcLow8LpeLtcU4sZV2u91u\ntwOUXlxcRImWnp6e8vJy2IsAPAG6lJSU0I7MAoGANqbBYUjT56K0ALun5HA4cF43NzcBdjGZzImJ\nCaD2aF+Cc4xK4YQQiUQSDocBuO3ZsycQCIAdnDx5EhgXeslDHPJ4vL6+PriX1Go1HPhGo1EsFoMv\nv/fee3K5/JlnniGEjI6O4lsNDQ0qlQqQjsPh8Pl8uHUmkwkMa2Fhob29HdJlYWHhhRdegMd7bGwM\nMmnr1q0nT54ErnX8+PHf/va3uPm1tbUY5NatW/l8Pv7qpz/96bFjxwDIRKNRsB6bzcZms+Fm8Hg8\nqVQKMGYkEkFxwvHxccpe+Xw+8FWfz9ff3w+nVDQavXXrFgpinT59GlN44403Wltb4cYvKyu7dOkS\nLaCHNU8mkwsLC0gAUKvVTCYTvJvJZNKWY1lZWcD3rl+/npubi2oUd+/epc2ipFIptlWlUiWTSeB+\nXC4X3v7Lly9bLBa8tq+vD+KKECIQCOBqysvL8/v94MvT09MCgQA+UQaDgXgcg8Fw6NCh3//+91gH\ntVqNcPbbt29jDAKBoLGxEWteU1MTj8fh+jKZTI8//jghhMPhmEwmTFmtVkM5OH/+/McffwydoLCw\nUK/Xw9Wk0WiA0F66dOn3v/890ss+/PBDGljh9XpRbYTP54+OjsIfBs0AwqyxsRFSPBqNstlsSBSz\n2VxfXw/PYmZmJuDK+fn5zMxMCG+TycRms3F6pVIpXFyRSMRsNuNwFhcXZ2ZmAvMcHx9H/t/bb7/d\n3t6Or9fU1CwuLmIvysrKoHLJZDIWiwVloqys7O7duwDk6+rqkDJhNpsXFxdp6cvNzU0cEpVKhWWU\nSqUulwuHc2pqCpA1GnnDUafVai0WC2rrNDc305qHNGfD4/HY7XYokRKJBBClVCpNJpO4VqFQKF2N\n/v+D0hBimtKUpjSl6QtJaQvsntKOHTug3MnlcqioWq3W6XRCp2traxsZGQFA8cEHH8DyADoHrC8Q\nCEilUjxw48YNaPoMBmNqagoxjV6vNzc3F79fuXIFEMrKysqhQ4cQ8Mbn810uF8y1jo4O+Kj9fj+U\nX0IIm812Op3QJYeGhlB5gcFguFwujMdsNl+5coU2HQaQ8tFHH5WWln7nO98hhDgcjqNHj8Ilnpub\ni4BsJBHDGsvLyysoKIBVRFtbIYkY6bFnz54dGhoCvJOdnQ3rs7GxMRgMwuATCoU0hjMUCtGSrDqd\nDv7zaDSKiLsrV674/X6o6pmZmYlEAnr90tISomkIIQKBANNcX18PBoO0FC/Mo4yMjNraWppIfv/9\n98Pgc7vdNHbUaDQ+/fTThBCXyxWNRqk9gYTlnJwcnU4HhMpisezZswdZ2EKhEEGGTqdzZGQE9R2a\nmpo4HA4gtf7+fsQFKJXK5eVlpH5Ho9E7d+5QQwdLurS0NDY2BuBrYmJCo9EAsbRYLIhxv3nz5tat\nW2GFFBQU0LL0fD4f5qDRaHS5XLCxZmdnsSmvvPKKwWDAJx5//HEU5seA8Q+Y1FicnJycQCCAI8dm\nswGXRaPR3bt3Y77Dw8NXrlxBwUYK37FYrIKCAthMeXl5m5ubiAa02Wwwi3fu3OlyufC2w4cP83g8\nWhEGA0ODUNg6Xq93fn4e1vn8/Dzmy2KxRCIRbtDMzExrays+R9c8Go3SqdXU1IRCIdhzPT09GMz6\n+npFRQV2cNu2bcC0XS5XUVERbtAHH3ywb98+QCYMBgNQRHFxcSwWQ5wUi8XC+hBCkskkIqrW19eX\nlpYorgtrL02fi9IC7J5SJBKBDwDuIkIIn89vamrCta+qqqqoqMADSqUS6ERDQ8PMzAyER0lJSX9/\nPx7YuXMnRKBMJissLMRlLisrc7vd8IHt2bMHwd8ZGRnvvPMO5FNlZeWpU6fgAzh37hxSizQaDQ3f\nd7lcDAYDnLe9vR139b777svKygLj5nK5TU1N4N30Kmo0GpvNhhv4T//0TyqVCrXVCwsL8QbUVcKM\nTCbTa6+9Bg6r0+nApxgMhlKpxIxsNpvH40Ec9qlTpyC0lErl2toa2B+bzYYbb2Fh4cSJE/AouN1u\n2j6YxWJBSG/fvv3OnTuIuZdIJLt37wZiRvslbt++XalUIr55Y2NDLpfDSelyufBXVqvVYDBg7q2t\nrTabDfDa0aNHMfKcnBypVAqslfxNfB0tzYBwOHgxeTxeMBhEhN6uXbsAim7dutXv97/yyiuEkI6O\njmAwCK5XV1eHMg0ul2tychLYWltbW09PD+IYd+/eTQNK9+3bB8adTCYLCgpo5SQM8sSJE2azGaj1\n5uYmegXE4/HZ2VkMzOVypVIpYIwcDgeLgKMCN1tXV1dHRwdW1efz4f05OTnBYBAicGpqyu12Y1tp\nmRi0qgHeqFar0dcUc8cbPB6PXC6HTIpGo0KhEKfI7/dj/c1m80MPPYQDmUwmUT2EEDI6Ogov2sLC\nwr59+yCnJyYmPB4PBLlGo8HycrncsbExiPzCwkKfz4fPhcNhbNDOnTsvXLiAsycWi6EJEUIaGxtp\nLqbH44HSFg6HobTdvHnT4/FAy3nqqafee+89KFUejwdycWZmpqenB/Apg8HgcDi4g2q1Ghgjj8cL\nBAIQ5M3NzbjCafpclBZg95SSySQtswYpMjg4uGXLFjhL0BgeN9xkMuEWBQIBkUiEWNtz584ZDAZY\nJDabDfxobGwsOzsbnMXhcNTV1YGZbm5uwt9gMBiOHTuG7DEWi9XR0YHadNFolJZNUqlU0AQ9Hs/6\n+joskqWlJailkUiExnkPDg7KZDLwykgkQqO0L1++DCnb0tJSXFyMGTU3N1Pb8ezZs+AXJpMJMpgQ\nkpeXRzvSstlslFBiMBhSqZTW2scNZzAYHR0dmJpGo4Eb48knn7x69SriRK5cuZKTkwMHYSKRoI0/\nCCEIzi4qKvJ4PDAX+Hw+LQy4srJCk7d4PB64TFFREaTIU0895fV6YUN861vfunz5MpxVfr//qaee\nwiKo1WpMzel06nS6N954gxBitVoxhtLS0snJSYgBo9FoNpshlsbGxiAwrl271tnZCV3+woULWq32\n0UcfJYQ8//zz4PI+n6+hoQHs2OfzHT9+HAuoVqsxwZ07d9IyWgUFBS6XC4dEpVJhK99///3Dhw/D\nNGSz2S+88AIh5Jvf/GZhYSEM+oyMjOXlZbytpaUFCWG//OUvDx48iM5tIpFofX0d+kEoFEKwRjwe\nz8nJgdWbSCTi8Th+d7lc2CCbzYb+LzgD6+vr+FwkEsEJUavVExMTWF6oU7AC8/Pz8d/+/n6kghFC\ngsHg0tISMIy2tjaMNhQKffzxxzQQPycnB3at1WqF+NHpdJFIBFIHkhWyCroCIeR//ud/WltbcVBz\nc3PlcjnO5MLCAmy1eDzO4/EQOJOZmQmZ1NbWlpOTgzHcuHGjvr4ezjla0tNmsx09ehR2W01NTVdX\nF3SFxcVFaoLLZDLUKFhaWoLVm6bPRWkfWJrSlKY0pekLSWkL7J6S0WgEvsTj8WjDKhpGD6AccNbe\nvXuhJ/J4vMbGRoQy19bWZmVl0XBbaL4FBQUcDgfqWzwe7+/vR2jv9PQ00k7n5+enp6fhKIrFYmaz\nGf+mVU1XV1d37doFpT4zMxNVtPEwLC2Hw7Fv3z4EZDc3N6ODMyGEyWQicbWtrU0oFMIaq66uFggE\ngLY4HA6sDafTeebMGVQDWVtbq6qqQhSiRqMBmppIJND3mRDi9/uHh4cxBh6PBz/Q7OxsRUUFxtPR\n0QHF9tKlS2iFRQipr69PJpNYXoVCAXUYzjksFG3YSAjJycnBABwOB21LKBQKUVUIAz569CghZM+e\nPf/yL/+CfpUbGxsCgeDhhx8mhHR1dcEsZrFYwWAQ01xaWnrzzTdhjdHarCsrK7t37wYIqdfrNzY2\nYHhVVlbCTjIYDGw2G5r4448/LhKJMAaaaV5VVUXx1enpabfbDYNjbm6OpmCbzWakRdvt9pWVFSyU\nVCrF4jQ3N2u1WuBsAwMDMKTC4XB/fz++tbi4KJfL8bBQKHzppZfw59PT0+gM/oc//IHBYCB0cP/+\n/Vh/uVzucDhwnCwWy5YtW2DL6vV6/Giz2eA4xHF95513sN3xeBym2HvvvZefn4+Rr66uosEYHkCx\nf7jQ8Da1Wh0IBGBPi8ViIIH79u1bXV1FXJ9SqfT5fPBuZmZmwma1WCw7duygXcScTiewx2QyCQTC\nYDAEAgGYiRcvXlxbW8PveXl5tMp2UVER0FE+n4/Tkp+fn0gk/vznPxNCtm7dWlxcjMR2l8uFnWpr\na7Pb7bitVquVz+djkGKxGIGdMzMzX/nKV958801CiEgkmpmZgbM2TZ+d0gLsnlJHRwfEAJvNpkX5\nkskkcB6HwzE8PAyPgtfrhVRDLC8cNg6HY25uDmJpaGgIcI3f7wd6QwgpKChobGwEUtTR0QEog8lk\n6vV6XEW323348GGMwW63A6VMJBI+nw+8KRaLlZeXQyxZLBa4wcH78Npz584tLy9D0uTk5CD4WKlU\nFhcX464uLCysra3hiv7iF7+AqIPPBoNsb2+3Wq2PPfYYIWRxcREpPjqdDjAjIUQulyNXjBAyPT2N\nB5hMJp/PB/ZCo0vefPPNH/zgB8B2Kisrp6amwB9Pnz4NJBb1Hmn98oWFBQBTS0tLgHCNRmNNTQ2Y\nOLxlYO4ymQwS6A9/+AOLxXriiScIIe+///76+jrSjyQSCXgii8VKJpNwsZw5c6alpYVW6KANB7xe\nLxDLWCx2/PhxCNdz586hQJ/X63U6nVjzlpaWYDCIDaqsrATL8/l8o6OjVB0RCAQQyXK5HJhqJBIp\nKCjA+geDwfLycojnZDKJbTWZTAMDA8A8ac5ZXV3dgQMHEJ1/5MgRh8NBlQmM0OVybWxs4A3JZNJs\nNmPAXV1dCLcpKiq6efMmNkWv11dWVmJx8vPz8QnUrcCPtKUkDi1C9rVabTQahZzOz88Ph8PYC7vd\njovQ29tLfbFra2tisRgPNDQ04ILEYjGZTAYor6yszOl0YsADAwMAHjc3N5VKJVasqqrqiSeeQDl5\ni8WC1QsEAhwOBxdEr9c3NTXhYRTgwLm1Wq04kLTgEzqLIsqDwWD09/cDMYabkxAyPj6+trYGKZtK\npU6ePInIpqKiIpREkUql165dwzmUSCQYdpo+F6UF2D0lj8dDEzxxD8PhcHZ2Nm57aWnprVu3wArJ\np8FdRqMxGAyCs1RXV9NKiYcOHYKeuLm5ubq6Cu4wMTGhVqvBXFZWVmgBJJVKBX4xOzu7vLwMoZKT\nkwMLTCKRCIVC8Ky5uTmhUIgQCdpjJRKJhMNhuNny8/Ofe+45xBAePnwYknVxcZHBYMCewCBRlvTN\nN9/EBY7FYoWFhQji2Lt3L5oj43Pwde3fv9/r9WLuTqezpaUFLvGLFy9C5LBYrFOnTkHsDQ0NYfV2\n7do1NTUFuej3++12O5iaTCZDWJrZbHY4HJBJaAoF3hQIBPDkc88999Zbb9EUHPS8JoT88Ic/hDNM\nIBB8+9vfpvlAx48fpwEs4G4zMzN79+797ne/SwipqqqamZmBu8XlcsHIjkajTU1NWKj6+nqv1wv5\nRGv1dnV1yeXyzs5OQshLL730rW99C1M+d+4c2L3L5aqsrMR4xGKxXC7HdrNYrHfffZcQ0tjYyGAw\n8F2YCJh+PB6HqYSSj5QFw4YQi8UdHR3YIIfDQYsI63Q6uNNUKtVPf/pTWD9FRUXT09MoxyyTybB9\nf/nLX2gjEg6HMzw8jB1MJpP4kaauE0JsNtuePXsQYYTqZXgyHA5DLiIeBM6zkZERPMBkMrds2YKk\nwMLCQpFIBDHA5XLxZGlpaTgcxkG1Wq1ZWVlYtJKSEtpmrLe3F7CEzWbb2NjAXXC73VgloVA4OjoK\ndcRgMFy8eBH6WWdnJ7zIfr8/FovBxTs3NwcZNj8/L5FIaCMeJJiTT2skYuTFxcW0cCJt2ieXy3FD\ne3t7UeUSZwB2apo+F6V9YGlKU5rSlKYvJKUtsHtKDocDCi/tT8jlcgcHB6G7HT58WKlUwoPS3d0N\nE8RqtTY2NuLfYrE4HA7jDaurqzDmYrFYPB6HFZKfn89kMlHrOj8/H5jS8vJydXU1YA0WixWNRgGO\nra2twSmSl5cXjUahgZaXl1ut1oMHD5JPm0ziDTweD2oyj8fj8/kAYTweD3RVmD6IcQ8EAn19fSg6\ncOLECeiwKysrtDViPB4/cuTIn/70JwweKmpmZibi4Akhfr9/bW0NJWK3bdsG+4nL5ebm5iJBR6/X\nY8WqqqpCoRCsgYqKiieffPKf//mfCSEcDgfgp1Ao3Lp1K6ZmNpurq6thJkokEthwr776qlAohF2r\nVCrHx8cBJeXl5UHrFwgEhYWFtNiEWCzG3OVyOda8qqrqkUcewQMmk4lGYO7bt4/aH+FwGLHdV69e\nrauroz1osBGBQECpVMJu2LJlC60jLBAIYIUXFhbKZDKEaJaVlTEYDJhK1ApcW1s7ePAgzMT19XUe\nj4fI9YaGBnxiampKrVZjmlqtlrqR/vjHP9Luiw0NDTBZjEYj/vzChQs1NTWwm7u7ux944AE8MDk5\nicOQlZW1tLSEXVteXpZIJDicHo8HdlswGER9d0KI2+2ur68/deoUDie2sqqqanh4GAtVUlIyPz+P\n1fP5fDDmFAoFraPPZrMrKytpO0qa4vbEE08ACN22bdvCwgL2pb6+HgiESqVSKBSwArOzs1OpFO5C\nNBqF35fNZhcXF8PolMvlKG9PCEG+BMawsrICu21tbQ1VqdbX12OxGOBTdDrFwI4ePQpLl8FgKBQK\nrKTBYAiFQtjW/Px8WkT7o48+QizxkSNH8NE0fS5KC7B7Snw+H5eKBgE3NTXl5ub+7//+LyFkeHjY\n4XDAq9TU1ATWw2Kxenp6ABnx+fy2tjaw5nA4DBZQVlYWj8chBnp6emQyGXxjly5dAiq1sbGBXk2E\nEJPJJJPJAGHV1dWBR5jN5lgshvvD4XA0Gg2SeQ0GA4SHXC6PxWLwtO/YsSOZTOLTNLM4kUjMzMzA\nHe3z+SoqKlB359q1a0DJyKe9YAgh586dO378OPxSDocDjpnf/e53R48ehdibmpqyWCwQCbFYDMDL\n7t27GQwGsM1HH30UMRGNjY1qtRqDOXbs2He/+13ISz6fD+kuFovRqwljQCl38jfuvYqKCnj+CSHw\niKDUYTweh0sjGAxKJBLwppmZmfb2drBCrVYL3vT6668LBAKkWz355JOjo6MIgh8fHwdnVyqVXC4X\njUhyc3P7+/vBjq1WK20ls7CwgF0rLCwUCoVgcHK5HD/6fL6CggLgXcvLy8PDw+B68XgccmJxcfHy\n5cvYrIMHD46Pj2P1hEIhPsFisRYXFzEjq9WKkJONjY3a2lqIPSaTefv2bUh32s2rsrKSy+XCm/il\nL33JbDZDJdq7dy+Uhps3b7a0tACQJITY7XYwdyTXE0JcLpdWq0UYzscffzw3NwfJV1FRASwxKyvL\n7/cDnVtZWREIBDSAAodzcXExGAxiOgwGo7u7G+InNzcXAkwoFF6+fBlBTHw+v7KyEjfrk08+Qcm0\n/v5+qg7W1tZevHgRq6pQKBAw4vP5eDweAigsFguTycQ0FQoFbqvJZCovL8eaQNPC6hUUFGDFampq\nBgcH4c3a3NyEVqFQKEZGRrAgyFKAV6+vrw94skql0mg0kGpTU1O4HWn6XJSGENOUpjSlKU1fSEpb\nYPeUgsEgoCSpVIqYiAsXLgQCARpyTTMuPR4PNSby8/OhsnE4HOh9hJDNzU0odOfPny8pKUFM486d\nO1HGghCSmZkJPKeurm54eBjfZTKZY2NjiGBeXl6mpklpaSkCvTIyMpqamgBC0mogsADQ7/g3v/mN\nWCyGPstmsxFGDNsRCNWuXbuGhoag19N4+qysrOvXr2NqRUVFL7/88le/+lX8DsAHSCAsIb/fr1ar\nYS5kZ2cDABweHoarnHwa1o/1fP75519++WVCyE9/+tP19XWUb4hEIlg9sVg8PT0NXV4kEkUiEYCi\nEokEerTVauXxeLDhKioqOBwO3vzOO+/AoDlx4kR/fz9i3LVa7a1bt1CMSiKR/OxnPyOETExMfP3r\nXwfe6PV6t2/fjkJNWVlZNOWcz+cDa+3v76+pqQEYVVVVhe/Ozc1VV1fDZGSz2ZubmzC4y8rKEArB\nZrMDgQAe5nK5+fn5MIDi8TgCCvx+PyqkEEJOnTq1ZcsWTHl2dhbx9EeOHNFqtdhNoVCIfWcymR99\n9BG2UqvVplIpBBeMjo7SPIpwOIzCwajbixPldrthhu7fv9/hcMA0DIfDZWVlMNdqa2sBG7a3tyeT\nSQTE79q1i3apnpiYAGZw8+bNyspK7HUkEuFwONjujIwMBMtkZGTI5XKYZS6XSyAQAKKYmppC2FEk\nEqF22/DwcCwWw9gaGxuBCgqFwmPHjgEPTCQSOTk5QE2Hh4dhQ2u12s3NTcRtdnR0JBIJxLUaDAYc\nEp/P53K5sNQmkwnfCgaDHA4HBhYgWVoFHyckmUxu27YN9uLq6qparQZimUqlcIVxl7Gkm5ubuB1p\n+lzEgMclTfeGamtrcevC4TBueGZmpsPhAJcfHR3NyMgAENHb24t7otVqk8kkYLTCwsKGW8hVRgAA\nIABJREFUhgbUAdq1axdOvEql8ng8gPIEAkEoFKIRWeCDq6urNpsN1290dJSmoDEYDNrl77777gPu\n0dXVdezYMRRnUigUSKlJJBJutxsuLo1GQ+O8g8EgRnv37t2srCwwr8rKytu3b4OpmUwmIDNSqXRl\nZYVWMlSr1bjtk5OTeO3i4qJCoQDHZzKZfX19gHH4fD7wLovF8swzzyDw7ObNm2DQ6I0JeXz+/Pkd\nO3aAR5SUlGCENputsbEREgXF6AC+dXd3g8swGAy4MQghjY2Nzz33HDjO0tIS1tzr9e7YsQOf43K5\n5eXlYGrPPvssFofP5wuFQoBgaNWBASsUCmBcDodDo9FAcLrdbr1ejyhqmpyk0+muXbuGmG+fz+f1\nehHGZjKZ4Ix8++23m5qa4PcKh8M7duyAtJufn0fIPpoJAHgE6AcRtbq6isVBwUDEEA4MDGCv+/r6\ncnNzcYoQLg9h9sorr0BAFhcXy+VyLKlGo5mamgI619HRAYSQyWRarVZIWZwH4MxCoRDoXCKR2Lt3\nL+RiRkaGzWaDxpOdnQ0pnkwmeTweJCuLxaKNVUtLS6HZ7N69W6PR0NpOH374IcDneDyOI4SiHlic\nF1544cyZM7hNLS0tCN9vaGiIRCLYVq/XG41G8e/S0lL4HYPB4OTkJA4qmr8cOHCAEDI4OEh7Osfj\ncWR3UclaVVW1tLREK5qKxWIcmImJCfQ5AuQIbfLu3bsPPvgg3Htutxv3rqKiIhgMAkKUSqUOhwMJ\ngmn67JS2wO4pFRcXQ7e9ffs2+mvcvn1bIpHgEBcVFS0tLSHtifZZyMjIQCd1QgiTyfT7/WBJtKho\nIpFYXV2F32VmZmZhYQGMrKCgAFc9kUhMTk7CB7axsXH//fe///775G+SeXNzcwcGBvDvHTt2SKVS\nPIysW0JIMBh86KGH4HbKysoaHx8H19Pr9b/5zW8IIQaDQSAQoASw1WqNx+O45OTTawx2g0wmFF6i\nzX9R16qjo+ODDz4Az8ILweBaW1sxd7vdPjk5Ca/eCy+8AD6YSCQuX74M6fL666+fO3cO0p3FYmEK\ntHgSIYTH43m9Xhi+5eXlcG8cPXq0trb2b/sXY3Hy8vKQalZYWCgWi+lC3bx5E8x9dnYWUmTbtm08\nHg9sF/sLAVZaWgoJF4lEVlZW8GNxcTGTyQR/nJ+fp5EdbrcbC1JVVbWxsQHd5ciRI1iQBx544ObN\nm9AVhEIhTTBPJpM4ToODgxqNBkoDg8Hg8XjQ8RsbG6EwXb58+cCBA5iFXq/Hpuj1erlcDq66tLRU\nW1uLystyuRx/pVAoOBwOBJhIJGptbYWpgTZshJAf/ehHdXV1OCQMBkMul8MX+J3vfAcOxenp6ebm\nZiwO0kVgbE1NTWHXxsbG2traaFwSm81GPhztCBONRh9//HHsIw4e5o5auuTTepgQgQ6HY21tDbkW\nIyMjOG9Go1Eul9NCxuvr61jJO3fuYB06Ozt5PB7ts8NkMqEncTgcmGg+n29zcxObRVtUm83mwsJC\nbFB5eXlLSwtkFS2niVpimK/BYKD5FSdOnMCZ93q9YrEYB8PtdmMAafpclPaBpSlNaUpTmr6QlIYQ\n7ym1trYCDIlGo1TjpqHDjY2NSPglhJw7dw66W0lJCYKgCCHbt2+XSqW0vy0QKqlUWlFRAQ1UrVYv\nLi7C+DAajVS5KygogP3E5/PfeecdWACrq6vQ9IeGhuRyOeLZlpaWBAIB4Kz5+XlgTclkcn19HeHj\nPp+vvLyc/o555efn/+UvfwEgc/ny5Y6ODoCB/f39cO8dO3bs4sWLsJ+CwaBUKoWhw2AwUKno0qVL\nd+7cwWsnJiYyMzNheB0/fhzg540bN5LJJB0DYCKr1fqNb3wDq9fQ0PDSSy8BSsrJyUFMl1wu39jY\nAJQaj8eDwSB0aq/XC9vF4XDk5eVBpz506JBCoQC+mp+fj8E0NDT09vbCuJFKpVNTUxiwSqVC5FtG\nRkZubi60bxaLtbq6CofZ4uIiphCJRJqamuCT8/l8J06cgD9GIBCgAUdeXl5OTg6scJjIZ86cIYQI\nhULAm2VlZR6PB4Nsb29/8803EcuXkZGBUwSPKQzNlZWVkydPwn5NpVJI4DWZTLW1tbAdH374YSzO\nxx9/nJmZCQAQjWZgpgQCAcTpmUwmFosFU0kqlZrNZgysoqICq3fhwoWFhQX4YldXV2UyGfUD4QGT\nydTW1oammuFweH19HcVWBgcHMZhAIFBTU4PFyc/PFwqFtLEqzj+bzf7Od75DK1etra1hbF6vFzBp\nQ0PD+++/D2MrEoloNBq6xQhq/eEPf9jT04OV3NzcrKurgzcxMzMTAKxSqaRx9n19fTqdDkdubGwM\n4CcKagARcbvdWJBoNFpTU4M3iESijIwMXDepVIoHcLlw38+fP19aWooDc/PmTdisqVRKKpXSYmDN\nzc3ppsyfl9IQ4j2laDRKw7vBsG7evGmz2cCOMzMze3p6ECleWFgIwIfD4aBSOyFkeXnZ7/cD3+Dz\n+bghSqXSarUCeISYAb9ubGwEf0SSFgLBRSKRTCZ75513CCEajQaMrLi4WKlUgpHZ7XalUkkxHwjO\nnJycW7duAaAfHh5WKBTw6ITDYaRzNTc3Ly4uwkHC4/EyMzMhaerr6ymHhWAgn5aKAAuurKxEyH53\nd7ff76fFF4qKisC/3n77bXit0HEYAzOZTGAcu3btcrvdYGRnz541GAzo5n7t2jWwe4VCkZ+fD0gn\nHA739vaC0zU0NKCgQ1VV1dTU1MmTJ8mn4exY6pKSEvDlsbExCsTdvHnz3//937GDGxsbkM1yubyn\npwcCLC8vLzs7mzbNwuqx2eyf/OQn8GaVlpaOjIzA/Um7uLHZ7KGhIXwuNzf3xo0bgNT6+voQUZJI\nJDY3N6HZIPYdHqa6ujokh7nd7l27dmFx8vLyBgcHUbqlr68Pyw75hA0aGRnB2sZisVAoBAkXCoWM\nRiNmMTU1hZNjMBiCwSCE94cffkiFisfjwelFQzKIovLycvyDEFJUVARUdnV1FU1bsNcDAwOQcM3N\nzTjnEolELpfjSAeDwczMTJSJKSsrg3tp165dHA4HrjWj0UjbHE9PTwNLt1gsFRUVcHPCvQoNz+fz\nQRZeuXKFfiIcDrtcLgpf45Ru2bLlrbfewjHLzMy02+1ATbdv3079Xnfv3sV3MzMz8f5YLDYyMgJR\nV1BQQOODysrKAH5WVVVRyLq5udlqteJtTCYTey2VSqVSKVQujUZz7tw5SPo0fXZKC7B7SqFQCBe7\nvLwc/2htbd2xYwcyH69fv15bW4tTbjKZvvzlLxNCbDabXq+H72H//v08Hg/XMhqN0ixjAPeEELvd\nXlVVBYeBx+OBShiJRLhcLljP+vp6ZmYmQqcqKiqgCXZ3d+fk5EATjMViBoOBMlbIQp/PJxaLcRWl\nUumdO3egz964cQOvGh0dtdlsUGybmpp6e3thESYSCTDx27dvt7e3g3GfOnXq4MGDMBO7urow94KC\nAplMBr6cm5s7OztLS/SCNwkEAtoPrLOzEy73U6dOvfvuu5h7RUXFww8/jPRnJDARQqampq5du4ZW\nJhsbGxqNBjzL6XTCfITLCsaW3W4XCoVgZBUVFTBwbTZbMBiEBXDhwoX5+fkjR44QQlQqFfiyXq+n\nsWRut9vj8YA9ra2t0XSuo0ePYu5ra2tMJhOST6FQ0O5ZCDQgnzJxcHmfz4e4GKVSqVKpwHbX1tZo\no/rnn38eEq66uhqhOthBsViMOLrW1lYILZFINDExgUUrLCykzjmPx4NPxGIxFouFE5WTk4NFMBqN\n9fX1MOaqq6uXl5cxsJGREXiqBgYGQqEQTtHTTz/9q1/9iuoKEPMikUitVsMXu7q6WllZCeforVu3\nYO253e5YLIa9djqd6+vrWL3+/n7s9czMTCKRwPlHFWOsZGlpKYImQqHQ3Nwc1gGNynA429racLS8\nXq/VasWRxiLj7AUCAewgbCn8GIlEampqIL/NZjMcpaWlpW1tbVjS9vZ2rDOXy62srARusba2RiOt\nFhcXoRe63e6ZmRlI2aGhoby8PFjeLpcLltb4+DibzcY0r1y5gnudps9FaR9YmtKUpjSl6QtJaR/Y\nPaWdO3cCpUkmk9Qxo9froY2KRCJURCV/g6SjSzpqGWzbti0cDsOWOnr0KJTZVCpFG7Tv378/EAjQ\nKHnYTHK5vLm5GdbAysrK4uIitS0A2fX19alUKpgsaI0IzVQgEEDrj8fjGo0GwEgymaTNWZaWlvBA\nVlYWdU5MTEzEYjG4QI4ePYrIqzNnzvzgBz84d+4cIaS1tbWxsRHI4cjICIwbPp8fDocxMKvVmkgk\nAM5otVoo+HV1dXa7ndbtRZSdTqd7//33oZI3NTWVlpZC4T137hy0b7PZTKvcGgwGv98P9TwrKwuA\nm1qtzsnJeeSRRwghr7/+el5e3ve+9z1CCC1evH379vX1dfzVk08+SaHFkpISWJwoNgELTCgU2u12\nrIPZbMaPKpUqGo3C2Gpubna73UiHUigU0MRNJhN8hISQ7Oxsv99P6/rTPiOpVAqbsrm5ScFhxJ3j\nH4lEAkdLJBItLy9jTYRCIUwlmUxmsVhefPFF8mk8J1aPdip57bXXDhw4QJ03ME+7u7sTiQQi5nft\n2sXj8bAXYrEYJtHS0hKNxgTAiwostHGo3W5//vnn8Qmn0zk5OQmT/Xe/+x3OPJvN9vl8tO5XQUEB\nEhKmpqZglu3cubOqqgpWIAILYeg0NjZiMCKRyOfz4VLMzc3pdDqYj9euXcN3e3p6UqkUbMfdu3dP\nTU0BsZ+dnUXgX0FBQVZWFhYKK4OHi4uLcRlZLBY1E+fn5/FXZWVlGo0GW8zj8crLy7HFTCYT708m\nk3w+HwVHWlpaLl26hPwWoVAI/Ly3t1er1QLb37p167vvvov4yTR9dkoLsHtKCoUCt6ulpQWOKIPB\nUFBQgFMeDAYrKyvh5d65cycikrdu3To2NgZHBZvNbm9vB2fPzMykha7VajV8xVar1Wq1Aovw+/2Q\nLhKJxOv1ArhHwiYNRMZgbDYbvCyEkEceeWRqaorie0Aj1Wp1JBLBj+Pj4xUVFYBidDodLvzAwACq\nLBJCNBoNn8+HeL7vvvsAAHI4nG3bttEaV3/6058wYDabTSPybTYbHpbJZC6Xi7Ywhv/p/PnzHR0d\nePjq1avwWl2+fNnn88H/J5VKW1pa8Fqfz4dQ6V/+8pe0CQuPx4tEInCkd3d3g8UbDIbDhw+DgUaj\nUYVCAUgnLy8PkQVbtmwZHh5+9tlnCSGhUEgoFOIPaSkjDB6D9Hq9tFqS2WwGVzWbzU8//TRYoVAo\ntFgscLGcOHECIqepqemDDz7AG2Qy2YULFxCxHYlEAAKjnCDmPjU1lZeXh7gVjUZDx6BUKiFQb926\nVVhYCHFYU1ODC75169bFxUXE5rDZbGxEV1eX1+uFCERCMfQDLpeLE2IymYRCIbYSQhGDDIVC8H2m\nUqnS0lKkNBw/ftxms2GQFEK0WCwMBuMb3/gGIaSsrGxubg4axte//nWoX1qtNpFIANeVSCQTExM4\nWvX19cjLhu8KI3/rrbcOHDiA8+/1eqEHoDoids1iseTn5wOpo1guWgXh30hcw744nU74O41GY2Vl\nJbaVxWK5XC6AtB6PBwsil8upBysWiwEBrqqqkkgkkJELCwujo6O4LDSNsri4uLCwEIMsKipyOp2I\nLpmdncWJDQaDYrEYl9RisezevRvbnabPTmkIMU1pSlOa0vSFpLQFdk/pkUceAbR17do1oEMCgaC4\nuBiu7+npaVgJhJBQKETLcxw8eBDKXWdn5/Hjx//zP/8Tr4LGnZ2d7XA4oNwVFxcvLCygENS2bdvw\nV8FgMJFI4LWRSGR5eRmKf29vLywwg8Hg8/nwcDQaZTAYgLASiQRQEZFIRNtGr6+v63Q6qJCBQADV\nep599tnJyUlgTfBLo9iEQCAAtllSUnLo0CG4xDc2NoaGhqC6BgIBoGF8Pl+n00Hxj8fjyWQSQXez\ns7MwDROJhFKphCv+7NmziGU3mUw0HfVHP/rR8vIydFiRSITRnj171uFwYGpNTU0InCGEcDgcYFwv\nvvhiQ0MD4q09Hs9LL70E++n69evAkXg83oMPPoh6tffdd9/4+DhMlsceewyZCUeOHMGeEkLcbrdK\npQI4uWvXLnwilUrNzc0B+FpeXm5qaoI1EAgEEEtZUFDAZrMRbSEWixkMBuxalUqFM+D1eisrK7GS\nCCpBxaze3l7sFIPBMBqNmGZZWVksFgO01dXVhTccOXJEr9cjPBJHDlO7ffs21txut+fl5QGYPX36\nNE4LipzBRFhZWRkdHYX1k5eXhxjCVCoVjUZhvyqVyr6+PhhYDocD+F4sFmtpaTl06BAhJCcnh6KF\nV65cQZiPVqt1Op04Tn6/3+12Yzz79+/HAfD5fEVFRRh5aWmpTqejRcJg7XV3d9NYSoTR0+pNWP+B\ngYEtW7bgqHs8Ho/Hg6WmrUe1Wu3Q0BBwi1AoVFlZie0uKChAhbCKiorMzEyEC+r1etr5we12Yyu3\nb98+MDAA6z+ZTGL7BAJBfn4+/mppaammpgarymazUQ3L6XSurq7SXIvNzU3whDR9dkoLsHtK999/\nPwCZ0dFRgD+BQIBiXDU1NaFQCJi4x+PBVW9vb19aWkLdo+Li4tzcXDCypqYmcBMUeoA8iMfjubm5\nEGZMJhO8YG1tbXNzE6Lo7t27Q0NDQE6qqqqw+wMDA5FIBOOpq6uz2Wy0oh34Y35+/pUrVyCfXnzx\nxeHhYeAtZrMZb2hvbz916hScBI2Nja2trWhhXFdXB+aekZGhUqlQfOTXv/51SUkJGPqZM2fATJ1O\nZzAYBEoZCoV4PB5KOUilUkA37e3t8/Pz4NH5+fkQWugIg5i6EydOWK1WTE2lUiEZ69VXX6UR6jKZ\nbGxsDK6+aDSKFfv7v//7vLw8rLnJZHrttddoLQ+AkO+9915fXx/YkNPptFgsEKJFRUVAt+rq6m7f\nvo3paLXagoICIIQrKyvYwRMnTni93t/+9reEkG9/+9tTU1N4c3NzMzyFZrN5ZWUF64BXYbM2NzeB\nZUkkEr/fjx+zsrK6u7vxhxKJBF4ri8Uik8mg0KCuGPA3FGHBaAFWE0LsdjvmbjQaDxw4AAViY2Mj\nHA4D56QFJgghbrcbcOWOHTump6dp3gVqSUxMTHC5XLwtFArZ7XacSaqL+Hy++vr6b37zm4SQZDJJ\n00i+8Y1vwK2VlZWVkZGBk/PAAw+cOnUKoigrKwvrLJFIlpeX8YBara6trUXTg+bmZpp7p9fr8d2l\npSVEKhJCrl+/jvqT6JcNKG9mZqayshKb5XQ6cYwhFCH2NBqNxWKB+C8uLsZfjY6O1tXVwbVssVgQ\nzFlbW7uwsAChxeVyQ6EQpKxOp8OlGBkZkcvluLlcLtfhcNASlFBx9u3bd/36dWwl2l3Smqhp+oyU\nFmD3lFpbW8F5l5eXkRhUXl7+6quvgnEzGIz8/HyYKfF4HJd2aGiotrYWqP23v/3tlZUVeiUgcvh8\nfk9PD3wAp0+fPnjwIFTmnp4eOMyvX79eUVEBpvnRRx+xWCxooEtLS3Bc2+32Y8eO4SQgXB6XOSsr\ni6b48Pn8vXv3EkKGh4czMjLQHIQGbgiFwnPnzqExCorn0tbyiFA/d+7c3r17jx07Rgjp7+9nMBhv\nv/02ISQcDp84cQIjz8jIoJJmZGQEs5NIJOBTy8vL5eXlCMiemJjAgjAYjOXlZTyZk5NTWloKg4PJ\nZEKAGY3Gf/3XfwWX39zclEqltGoXWDxiMcCbvvrVr2ZnZ0P8SCQSrP99991HqwcZDIZUKgVemZ+f\nDzbn8/n27NmD6aDsLJaaw+Fg7kNDQ9u3b4dkhQDAIC0WC4SWxWJJJpMYWF1dXTgcxr6Mjo5imjt2\n7PB6vdiU0dFR+nAikcCPQqFwbGwMAjWVSjGZTEj6oqIiuFRrampQbAyE7+bn57/xxhtI77t9+7bd\nboeE++tf/4pwj+7u7kAgAKmm0Wg0Gg0CSWKxGM0aXFlZgWNsenq6tLQUi7O5uYlMdpVKtbq6inpj\n7e3tP//5z1FvzGQy/eIXvyCfVhqDVJPJZEqlEqZzTU0NjnQ8Ho9Go5DNPp/v4MGDOKirq6tQ+xoa\nGoaGhmgF0XA4jH8fP3785z//OcaQl5cHY+vv/u7vbt++DetQoVDAuA+HwzKZDOEnCwsLCwsLGE8g\nEMCC3Lp1a2NjA548Ho+H2+pyuZxOJzaioqKCdgMnn9Y/3L17t8/ng+qzuLioVCqxQTKZDEpDZ2cn\nIlBwMauqqmC/pumzU9oHlqY0pSlNafpCUjqR+V4TSiQAOSSEvPHGGy6XC9m+VqvV7/dD+xaLxcDx\nKioqZDIZNMFLly61t7cjofLLX/4yNFCBQOByuWBUPfjgg2fPngXEodFo6Lf6+/vxOQRbI4Q9NzcX\nZsHm5mZxcTEqIDAYjLm5Oer+gR2DUQEEu3r1qkAggNHT2toKC+Dy5csPPfTQJ598QghhsVgzMzOo\nVvXuu+8CAKysrNy1axctSpRIJGBbtLa2ws0gkUiEQiFMFlhvmFF5eTn02ezsbD6fD1NpfX0dNX54\nPJ7FYsHU9Hp9IpFAkqnVasWTDQ0Nzz777E9+8hMsPovFovXF4YcwGo0cDge4bnFxMY/Hgw2xsrLy\nwx/+kBCyurqam5uLkY+PjyPsnhCSSqUQR/roo4++9dZbtE/jjRs3sDhFRUVIXXjiiScmJibw3YWF\nBQ6HA2hrYGAAr21rawsGg/AJrayscLlc7EttbS1yDC5fvqzX66lNk0gkgEFNTk5indfX1w8ePIh1\n4PF4p0+fRoSqzWZDaRIulzs+Pg5AuKamBm48VL4HZMpgMPLy8nDktm7diq1MpVJutxtTKykpGR0d\nxYBpksPk5CSbzQYQV1dXNzg4CLOJyWTir/r7++vq6oCzTU5OVlRUYB3++te/wvbKzc11Op2AzoxG\nYyQSAcBQXl4ORxSKvsNRJBKJ+vr6YMNxOBxsxNzcXHt7O2IaVSqVTqfD+p85c+ZrX/savmu1WhHH\neOvWrdbWVpyN2dlZTEer1RqNRgyMhkQSQkKhENycXC5XrVa/9tprhJB9+/bRPtpbtmxBqLDZbJ6c\nnESAayQSQbg8l8u9ePEi3Fq1tbXZ2dk4ZisrK/iH0WjU6XT4xI4dO9IhiP8flBZg95Ro7K9GowF3\nQ1dWXCSVSrWxsQGOz+Fw8CPKT4B5NTU1Xbt27aGHHiKE6PV6XDmPx7N//35wHK/XCxcCIUQikQA2\nWV1dra+vB29CdAMgLB6PBydNeXl5JBKBONyyZUtRURGYSH19PSSZ0+kcGBiA20Ov19MwBFo35P77\n7z9//jyYmlwud7lc+MPa2lqKxlRXVwN3UigUly5dQumE69evY8AXL15UKBRgak1NTej0QQgxGo3A\nuG7cuGG1WlEFg+ZavfHGGwKBgDrqtm7diuW9e/cu5GJ2dnZpaWlHRwch5ObNm2haQQiRyWSYr1ar\nDYfDAIU8Ho9CoYDgvHbtGiLR0S0FOXAKhcJgMKAGVX19PbQKt9ttMBgwd4/Hg6QFDBhM89y5c0wm\nE/4PBDJAyj7zzDMQ/0ajsaKiAi6f2dlZnU6HzymVSuyUSqW6desWZFIqlRodHYWOsrq6ipDxgoIC\nFosFtIoQkpmZSd2c+O7y8jL+hBBC8bTi4uKTJ0+CBRNCHA4HRBEhBCL21KlTtFW3UCgUiUTwjVks\nFkRSuFwuvV6PB9bW1nbu3An/k8vlAnRJ/gaMNZlM4+Pje/bsIYRUVFRAwr3zzjuFhYVg6CqVan5+\nHjubmZkJJDCVStXU1MCTKpfLQ6EQ4oNkMhlWSavVol8XppCbmwsQPisr6287iuHErqysnD59Gp7F\n119/HaB3Z2fn+vo6nHZerzcnJwcQH4fDwTFmsVhcLheVcdbW1vAtuVxuMpkwWpvNBsCQEGI2m7Fr\n4XC4qakJ2YRPPfWU1+vFwZBIJCgKeu3atVAohJ1CbA4U2TR9dkoLsHtKVVVVMLAWFhZwYTo7Oy9f\nvgxls6WlRa1W434SQvCkx+P54x//iCJpkUhk3759yDJxOByQcFlZWSMjI+CVGo3GarXCN6NUKsEf\ny8vL5+bmEOjl8/lo1Vc+n0973lN/jNFovP/++8Gnuru7YejcvXv3/fffRwgGGqPghi8tLYF5yWQy\nlUqFKA+Px9PU1AR7TqvVwobIyMgYHx8H45ZKpWKxGGGEw8PDiGMsKCiAC5AQYjaby8rKIGngKieE\nNDY2NjY2QuKGw2Ew0Ly8vC1bttBWkDKZDBJufHwcfzU8PCyRSDDIeDyOcA9CyP79+6HwIrMbeeJq\ntbq7uxvf/f73v48Vi8ViHA4Hbh6Xy8VisfDwjRs34NJDgT6aipuZmQkGWlRUBLYrk8lEIhFqXB0+\nfFij0UDqOxwOCGy5XN7V1QX3HtKQETKHosY4CRkZGdhWr9eLQBtCCIPBQODA6OhocXExRNHa2lpT\nUxMe8Pv94Il1dXXz8/PQeAwGA9huPB6PRCLw4vT09FRXV+MTIyMjEHtFRUW5ublQffx+v9/vx2uX\nl5dp7w+HwwEuv3//frPZDHiARtPx+fxIJIIzwGKxaLVflUr1+uuv4xmLxYLVw0dx7AkhsIQuXbpU\nW1sLuQhYAtoGNari8TjtvFpaWsrhcDBlj8cDXxda2MBBlZmZWV5ejviRN99885VXXiGEuN3uqqoq\n2t7F6XTiXthsNuAEwWDwkUcegf9SrVYjiZvBYNTU1GDNkemPKJv9+/djMAwGIzc3F0sajUbHx8dx\nisbGxhBFwmQyBQIB/F5zc3Mok03S9Hko7QNLU5rSlKY0fSEpbYHdU7JYLFAwnU4nEKHf/va3LS0t\nUI1v3bo1OzsLt9P169dRUyc7O3tjYwNgiFgsDoVCCJ8LhULwf6DRBu2xi/6KeBuWWLdCAAAgAElE\nQVR02GQySRuRiMViCqPV1tZCX0YgPmDDY8eO9fT0IHK6s7OTNt6tqakBEOT3+w8cOABleWZmBnD/\nxMSE2WyGVo7YYqirhw8fBmzS0tIyOzsLi7Czs/Pu3btvvPEGZgHVOCMjIxgMAlZF/XKMZ3FxEabh\n8vIyn8+H2VpTUwOgr6qqqrGx8d133yWfto0G7ieRSKBEu91uo9GIwQC+A+5XVVUFT5tYLH7iiSdg\nkvr9/o6ODlg/hBAgRWj2AQDqsccee++995Cl0NzcjGWMx+O04AVKGWHAtLlwLBZzu93I3AoGg8lk\nEthXaWkpIh5nZ2dzcnKATBYVFaVSKVQkYTAYOAynT5/evXs3PQMWiwV+wUQigcA2jUazuLj48MMP\nE0L6+/uLi4th02s0GuCKIpGImgg2mw3fevLJJzUaDTqkNDQ0WCwWHJKDBw8Css7IyDh79iysQJlM\nxuFwaPF1IGNoaIDBhEKhsbEx2BNOpxMG5czMjE6noyUqpFIpDO5wOEwz2DweD4xdHo9Hi33Y7XZY\nP01NTeFwGODznj17amtrsZvRaBQGFofDmZycxJpHIpGRkRFgzrOzs5gOLHsYfIcPHzaZTMD6rl27\nhsPAZDJZLBYGCZgUVin1faKwCMym2dlZ2K96vd7n88HiN5lMJSUlqKdz9epVBDfu2bNnamoK+z44\nOKjX62GNabXa//qv/yKEGAwG2nUzkUiMjIwAV0/TZ6d0GP09pdraWvjPKyoqcGFYLNbw8PDXv/51\nQsjvfvc7sViMHVlaWgKjVCqVkUgEXhyDwcDn88H1DAYDBFVXV1dnZyf85IFAgMfjQQyIxWLIhsbG\nRtrrZHJyMhQK4d4uLi7CF8Lj8UpLS8GGUGcINzwajcIvffv27YWFBXg1Kisrd+/ejTD6yspKgD9H\njhx57bXXIHETiYRQKKRpyHiAZkYTQrZv33716lUaygzATaFQ2O12+KXYbLZOp8OMXC4XXO5Hjx5d\nXV0F+CaXyyFmSkpK5ubmwGFdLtfk5CR+X1hYQKYt/hCyKhgMFhcXw7HP4/HATc6fP//222+fPn0a\nC3Xo0CHIZrfbjZGr1WqLxYJde/LJJ7u7uyGzV1dXAV3u3bvXbrfj31qtdmpqCmOgPW74fP7o6CiE\nWXt7O20jUFRUBCyrvLx8fX0d+/7ggw/+/Oc/x+rp9XrAxbFYrLW1FW8YHR0tLCzESrpcLkC1x44d\no3XlMzMzkVSHT2Cd+Xz+t771LYjAmzdvfv/73yeEoFMaCkHRhjuEkFQqBd3o448/NhgMEBibm5sZ\nGRmQi+fPn4cmEYlEqMfU7/fLZDJMbWJigqa6T09Po9Tk/fffz2QyccwGBgYgxa9evZqVlQVUkMVi\nLSws4BRVVFRgzbEygG3RfBwBHYuLi1Tszc7OAjEWi8U0RiMSiUDcisXizf/D3nsGt3meaaMPeica\nARAgSIIEe28SqUpRXVaJZFu2s3Fix8kmm2TLZNNmdpPNFie7k+xsdpNJJk7sOFFiRZGrJEuWTBVS\npEhKpEixggUECJAgQJDovRHnxzV+5jvfj3Oc/aEZz+D+oeFAwPs+9S7X3fx+IMYLCwuQQ7gLGIzH\n4+nq6gJ89+DBg/z8fNysd999l7YmqKiooN3vgIL29/c3NzfjBh06dMjv9yOj69GjR4jy8Pv9NTU1\ntPam1WqFhsflciFuFxcXLRYLsrxnZmYAb/7fLCNH/5+UgxBzlKMc5ShHn0jKQYiPlTo6OuDMLy4u\nhs6O6FvgGxwO5/Dhw8DWGhoaYEjpdDq73Q6V7d133z1z5gx817Q0AxRSWpnbZrMB76J9KcfHxxkM\nBpT6mZkZn88HewiuZkKIXq+PRqMwtnp6erLZLFT1goICKLbZbPbSpUsIF1xcXPR4PIB3aLXZ9957\nT6FQADVaWlrq7+/HgFEGAq+4c+cOSjagLyLsy6qqqqtXr+KxNAQunU7zeDzo8qlUCtO5efPm6dOn\nYa5RRTUYDAqFQpgpo6Ojp0+fhjXw+uuvQ6kPh8OXL19GtMWlS5fq6+uhtl++fJmWw+jt7YXFee7c\nORrlwefzoX3D5gCU53K5dDodbdiGPPGpqSkWiwWLR6FQvPjii4AxORwOcDY2m/3kk0/iw76+vq6u\nLmCPfD4fwTJer7eyshIRH//xH//R2toKK3BychLZtQ8fPrTZbNDfdTrd9PQ0oC02m42QcbfbHQgE\nYCI4HI6trS0s9d27dxFo5/P5zp8/D7Rq+/btNKJhfn4eBlZjYyObzcaapFIphF10dXXFYjGAflKp\ntLq6Gj9ks9lAaOfm5hwOBw5qY2Pj6uoqPi8pKUE9s+bmZjabDUAynU4zmUxE31RWVmIKvb29PB4P\noIJIJFKr1bCMuVwuwOfa2lqr1YqzWlNTEwgEkP/A5XKBjk5NTVVVVSFsBAuFLZ6dnT116hQhhMlk\nOp1OzEIoFE5MTOBEKZVKwJV5eXmvvfYaXoHxY5p79+4FMj8/P9/W1oaBXbp0CUCfRqOhJbtGRkYw\nNlwWWkYLdYSxUDweD8YfrYXd2tqal5cHEw3VlkmO/kzKQYiPlWhTR6FQSBOSnE4n/p6bmxMIBBBs\niUQC1QcYDAaPx4M8SCaT3d3d4FmTk5MojVFRUUGD7lA1EV948OABIJRMJuN2u8Gb7t27x2AwAKk1\nNTUBdNq3b186nQZkNzs7y2KxwFDC4TByboaGhrxeL6691WqNx+OISMxms4iCg6sDLCCbzVZVVYGZ\n3rx5E06a1tbW0dFRCNGmpqb6+nqkHxkMBhR6+PDDDwsKCiBxKysrZTIZYr1oPtC+ffuo47CsrAzh\n442NjV/72tf+8Ic/EEKGh4djsRjE+ejoKNiBUCjc2trCgpw9e5bFYmF55+fnAQSx2WyJRAKvxtDQ\n0OjoKAIso9EocKREIqHX6xHjXlxcHAgEgH1ls1latY+W50AgOPaC9iqUSqUWiwUCO5vNrq2t0YJM\nCOrLz89Xq9Vgmqg6jyh22hJTpVI1NTUBGZuYmGAwGOCb169fx4JUVFSIxWJIuHA4TPsMvPrqq2fP\nniWELCwsHD16FAGuJ06cwF6Xl5f39fVhOplMxm63w4NFQ2Sz2WwkEsEOymSyvr4+uHnEYjFtvjw/\nP4/V0+l08XgcTwNSSgj54IMPCgoKMLUf/vCHgUAAwru5uRn7/pOf/ESr1cJpFIlEjh07hmX/1Kc+\nBem+a9euGzdu0AZAEokEuGtFRQU+vHHjRlNTE4SH0Wh0OByIDNRqtdg1LpcLxJUQIpfLlUolPGoO\nhwN7zWAw9uzZA5mtVCp1Oh3AwKGhIUThCoVCo9GIRQsEAojC5/F4S0tLkEk8Ho+CwGazma55Xl4e\nBvmrX/3q4MGDSO04duwYmIBCoRgeHsYVQ5GzHIT451LOAnusFI/HYSKYzWboj2gPDy+OWCyGuCKE\nyGQy8AKDwRAOh2HcrK6u+v1+KP4ikQiKXmdnp0AggJMgFArxeDyYEZ2dnUgOq6urm5ubA8szGo3X\nrl2jKVYQGCaTaefOnZBqJSUlAoEAsorH44HVxmKxWCwGQ6etrS0YDMIPdOXKFTAypNFA8x0fH9+z\nZw8k7jvvvIMvfPe73x0fH4ft8q1vfcvtdiNOYXZ2Fu+qra1lsVjQTO12+9LSEiTN3Nwc3tXb29vR\n0QHTRKfTYTDxeDydTmP1HA7HwsICuN7hw4chRWQyGZ/PB5fftm3b+vo65fiQpr/73e++8Y1vQBxa\nLJb5+Xl4/mldq42NDaFQCGWioaHh8uXL0Kmrq6thhs7OziqVSrCe4eHh0tJS7Cy8eoQQLpcrkUjg\nd4zFYi6XC/IpFArBwy+VSmlSBIfDKSoqws4uLy9DHkul0vfeew/2RDQajUajMB2efvpplLAym82V\nlZXwHjkcjqmpKViE5eXlqHhbX18fDAaxQbT328jISGtrK2SSXC7ncDjw6MTjcZyW0dFRr9cLASYS\niTY3NzH3jY0NyCEul6vX68HE4/H41tYWNJsrV67AyudwOCwWC0+bnJzs7OzE+hNCsKRarRY7BeLx\neOD+brcbUuf+/fs001wmkykUCkAFQ0ND2OtPf/rTtDQ2dgrWZ1NTE1ZvaWmpr68PKwaPJmKXPvvZ\nz+KxJSUljx49OnbsGCEkmUwuLCxg0dra2mjAzsjICKQarTk5PT3NZrNxW+12u1gshvWGfuKYOy1W\n+elPfzoYDCJ1ZGZmBmqfWq3evXs31D6NRoMPc/RnUc4HlqMc5ShHOfpEUg5CfKx0+PBhOK7Ky8sR\nhcjlclksFpCi6urqoaEhQFtarRZRcMiyBKb3xS9+MRaLAZwpKSkBSlZZWYner4SQdDo9ODgIHZYq\ndDwez263wxpDnixAObVaDUdRKBQSiURQeBsbG1EdmBBSWloKU2ByctLpdGJgkUjkK1/5CsaQzWap\n/0kgEMBkPHny5K5du+DZWl9fhw577Nixubk54GxSqVSr1f7Xf/0XIaSwsBARcX//939PPqqCCr8a\nzJQPPvgAZlleXt6BAwfgyfD5fNB8BQLBrl27EDY9PDzscrngdctms1CTxWKxz+dDMVlUo4ByPTEx\nAesHX8bi9Pb2er1ewHqEECBjJpNJo9Fg7sXFxW1tbW+99RYhhM1mA/xBB0WAbyKRyGazQdmnWO7k\n5OTOnTthsqA8BDxqExMTWF4El2L1KioqhoeHaYo6tP7e3t6mpiYsC5vNHh8fB4oFzwohRKlU2mw2\n2JQqlSoYDMLQsdvtQMlqa2vtdjvW/8SJE9g+lUqlVqvhoLJYLDKZjBZch2lCCFlYWIAxPTEx8cYb\nb2AdMBdCSGdn5/z8PL7AZDJ37NiBUMZYLIZdu3XrVnNzM3yB3/zmNxsbG2Fvzc3NwWb9/ve/L5PJ\nsFkajea5554D7vrLX/4SKKhSqTx48CBgQ2QCoPaS0WgEzmk2mzs7OzFynU4XjUZhU1ZVVWEMer3e\nZrPhC2VlZUtLS7BEy8rKcAeVSqXb7ca+IyGBut8wmFAoJBaLYZoXFhbSfhEGgwHWZyqVSiaTWNWF\nhQUsfl5enkwmo/G6DAYDq5pIJGCe4spgrzc2NoqKimA75ujjUw5CfKy0trYGlhQMBqnLVyQS4RDf\nvHmzu7ubona4tN3d3bQjcCKR0Ol0ED/BYBDRHEVFRWw2G5eKy+W2tLTQ6mrgj4uLi2VlZZBwFRUV\nLBYLPgmn0wk/hNFopHXEvV7v8vIyUJqRkREwrIMHD1KHQUVFxc2bN/Hluro63Or29va33noLs2Ay\nmW+99RYcBolEAtxEIpGIxWLcdp/Pd/bsWcjseDwOBup2u3k8HmSGwWBgMBjgdOl0GujQ6urqhx9+\niNXLz8/HKj311FN/8Rd/gW4dCwsLTU1NQKvYbDYgO8hXLJTBYFAoFFAg9u7dCz/E8vLypUuXKHQZ\nDAbxOpvNRluKrK+vQ4HYs2fP8vIylrq1tRUPj8ViiIMnHxXNgyoQi8WwxS0tLaFQCDy6rKzM5/Ph\n77W1Ndr5l8vlYkYLCwulpaUAJ0tKSuA1efLJJ9fW1gDfoaczgOh0Oo3ezX19fS6XC31GSkpKOjo6\n4O7q7OzERiSTyZWVFcjsd955B3CZz+fr7+9HXExVVRWV+kwmE5rNxYsXOzs7oc1UVVV1dXXRvtI4\nQgwGw2g0gi/fuXNHKpViwPX19VC/2traEOhPCIlEIkajEah1S0sLlregoCCTyUD0EkLKy8shPFpa\nWsDNg8EgLc6USCR4PB5KqfX398PFtbq6arFYMAYcJ+wmlogQMjExoVQq8YSKigoOh4Mnr62tAWyX\nSCRoWIOFkslkiOAvLy+H2BOJRKFQCLvJ4XBwhFKpVGFhIdSOYDBI62zRtnMsFmvXrl2QVWVlZT/7\n2c++8IUvEEIsFgstKLN9+3YIUZPJBKg2R38W5QTYY6VEIgGLpKWlBYq8QqGgxUwLCwtv3LgBliQS\nieBO2Nraqq6uhoOqoKDg6NGjtN0XGKVWq3377bcRIuhyuZhMJpxkwWAQ6vni4qJGowG/NplMq6ur\ntBkHcqI9Ho9SqQSfqq+vP378+G9/+1tCSFNTE5TKn/70p2fPnsWvUqkUmk8SQjY2NiCHzGbznj17\nUG2Px+Ntbm7CgdTY2AjFFnEfiBlpaGjweDwoNPzBBx9gOtu2bRsbG8PTiouLQ6EQHEjHjh17//33\nsXpcLhccp7y8HCz+6NGjP/rRj3Dz4QxD/GRhYSHmC0lMdQU2mw3IobCwECN8+PAhavLivcFgkMbU\n4ZuNjY0ymQxcXqlU0liyoqIi8ESXy5XNZsG8qqurvV4vBmk0Gmlv0mAwiPGoVKrJyckLFy5gyuCk\nmUxmenoa5ppAIFAoFLAtFhcXwSsHBwfRCgtL/dJLL73++usYD1KSGxoapFIphIpSqYzH47AIR0dH\nsTgCgWD//v1w9ZWVleG96OWBlYzFYjBECCFutxu/qqqqWlpagkT5+c9/LpVK4Wo9f/48rC6bzUYD\nOrq6ukKhEI12gUSBrYbXBQKBUCgE7Wrv3r2YI5PJpKlde/bsMZlMcHmGw2G4EouLi6urq5GoV1xc\nzOFwYIkeOHAArqaGhgZkWWHAy8vLZ86cIf+HCiiXy2kLoY2NDYlEgi2uq6vDNPPz84eHh+FB7O/v\nl0gkOPapVAp73dTUZLPZMOCxsTHcuxMnTty9excaVUVFBbrNEUKcTicWwe/30waqs7OzZ86cwcHA\nISGEGAwGs9kMtc9oNEJq5ujPopwPLEc5ylGOcvSJpJwF9ljp+eeff/vttwkh8/Pz0OPKy8vFYjGi\nwt58882ysjKo7ZWVlQgJi8VijY2N+IJKpdJoNFCuo9EovFyjo6MajQbKndvtjkaj+ML9+/ehXO/d\nuzedTsMsu337dm1tLQKfYrEYALe7d++2tLQAX5JIJMFgEBYhGrQTQj73uc/Nzc0h1lmpVKLhJPlI\ns8ZgfD4fnBbvvffe7OwswiYfPnwIlCwUClGzbHBwcHl5GflJPT09MCyuX7/OZrMxd4vFUlRUBPTy\n29/+NqDLWCy2ubkJxd/r9aJUxMzMzMLCAkDIAwcO0PpDyWQSiFwgEPjc5z6H3DuFQqFUKoFWzc/P\nwxx89913JRIJTNV0Oq3X6/EFm80GC8xut/N4POCKjx49SiQSGDCLxYK9Eo/HJRIJloLL5d67d492\nQ4Zx6Xa7ZTIZrMCHDx96PB70loxEIpjvgwcPhEIhdTvR2ld8Ph+7trq6yuVyoc7X1dVdu3YNvhn0\nGiaEDA8PazQavJfP5z969Aj+UYpG+v3+kZERHIyGhgasmNVqra+vx7Zqtdr5+XlAW2w2G+avVqst\nKirCFzA7GD3UKdvY2Hj79m0ckv3797/22mswU5qbm9Gy5+mnnzabzTBobty4sXfvXpSldrlc+GZV\nVRXKQxNCNBqNQqHA3Nvb22GrdXd302IriUQiFovBq7Rt2za4M3U63cDAAGw4h8OB9qFYHPRKtdls\nGo0GGMZnPvOZeDyOqxcKhbCDFovlxIkTsGV5PN7OnTuB1gYCAZrGEAgEcB50Oh2s7fv379OFQlwo\ncHW73Y7dQVlh7DsKSeNSxGIxfJPD4dCszcrKSpqDmKOPTzkB9ljJ7XYDSmKxWIAKz507t3//frCb\njo4Oh8MBeMHhcAAVqampicfjgBeSyeTVq1cBvqlUKlw/ZJj+27/9GyHk61//+q1btxBaTUWd0+l0\nu9147JEjR37yk5/QHhBwp5WUlGxsbEBoPXr0SCQSgYlkMhkUbSsvL7fZbIhZgFcAl3l6ehpjaGtr\nO3nyJKo3zc3NdXd3g9O5XC74ovh8fmFhIZxGQqHQarUiykMikSDsYseOHfhfQkg8Hn/w4AGqzK2t\nrYEfXbx4USgUgh0IBAKEAIyOjra2toLD+v1+Ho8HSKe7uxs+P+T/QpB4vV6r1Qrvjlar/cxnPkMI\nsdvtDAYDDOvUqVNerxcbZLPZwG6Ki4uNRiO+IBQKXS4XZJXdbofIX1lZEYlEwBhPnjxZWlpKqzti\naqurq0ajEZJGIpG0t7fDUVRUVAQVRKVSbd++HQ7Le/fuAZ4lhOTl5QEu29jYQJ1GrOSNGzcwyBs3\nbsAHCfgRT1CpVM3NzWCy6XQa1Sz5fP5nP/tZBC/cunUL3cC3trbQXxv73tXVBYcllc3BYJD2dlEq\nlU6nE9x2dHQUg1lfXz9y5AgOKoIpaFMYyGa44rCSarWaljczm8005Rkvwl57PB4sL33X2tqa3++H\njJyZmZFKpadPn8YrcEpv377NYDAgI6empr7whS/gIOXl5UFxaWhouH37NhZqbGysqKgIUTajo6M4\nY9euXXO73fgwFou9//77UOyee+45aDbj4+PPPPMMFIipqSmsXl9fH+2H5/f7s9ks1qGlpQVnWyAQ\nFBYWAroUCAQ7d+7EarS1tWEjRkdH9Xo9Fqevr4+W8M/Rx6cchJijHOUoRzn6RFIujP6x0rFjx6CB\ncjgcIAZOp7O5uRka2czMjEQiAbyQzWah9e/fv390dBSa+I4dO7hcLvCf9vZ2fIHNZhcWFkJ3zs/P\nb29vx5Pz8vKgkjc2Nt67dw+K3vT09M2bNwFIplIpVGEHgANdcnp6OpPJ0JRY6K1Wq3VwcBB2W2dn\np8ViQciW0+mEcfOVr3ylr68PPnMWi0V7Cer1eoB+CoXi/v37MBQaGhpWVlagxlosFoxWo9FcunQJ\nBhaPx+PxeKj/1NHRAV3+y1/+Ml5KCHnqqaeAYXo8HqlUCiMPTbPw96FDh4BQvfHGG/Pz8/iwoKBA\nr9cjZPFrX/saoktmZ2dpXy5CCJfLxd9yuRymQCQSCQaDMBSeeOIJv98PX71UKsWCoAwukFKZTLZz\n506gxCqVClYgQh9pQvGHH35IMUbYSalUKpFIAATjcDgajQZ1mIRCISwtRJxiHSQSidPphPkyMjKC\nDQoEAlqtFmYKgk5xNkKhEN4rl8sPHDiAsIhsNot1ZjKZm5ubNAB9a2uLrj8MSo/Hk0wmsUFDQ0Ot\nra0YA60QVl5erlQqEQqxsbHBYrEAQiIkhBBiNpvlcjmO2ebm5re//W2YaH19fQi1+OMf/3j16lUY\nH/v37/f5fEALq6qqMIXt27ebzWaKiKpUKmy9WCxGdE9ZWVljYyMA4erq6qWlJVj/FRUV2HeUgMGH\nm5ubSNXHmuDkv//++01NTTA00+m0SCTCmjz77LMw7isqKurr6zEe9HYghIhEovfffx8ZEV6vV61W\n47FDQ0Ow8plMps/nw16bTCZU6yAfJbZjndfX17Egc3NzCoWCRk7m6GNSDkJ8rDQ/P48cEdrO/MCB\nA/F4HJHZWq2Wz+cDVWexWLgGY2Njer0eWFNTU9OHH36IUmxLS0u46iwWC5WcCCGrq6sLCwtg9IWF\nhRBUKJ0HtpvNZp944ol3332XEEIzhwKBQE1NDaIQ8/PzUT2dEPL8889jtL/97W8HBwch4W7fvg3X\nCCHk4cOH//qv/0oIiUQiYrGYZlC1trbirqLkByEkLy9Pr9dD2vl8PpfLBX6xsLAAh4RcLq+qqkIR\nIA6HI5fLgbdsbGwAKdLpdDabDVxvfn4eUry7u1sulwPwaWxsdLlcyAlbXV0F0BqLxVpaWuALMZlM\nR44c+c///E9CyOzsLHgx0ncgq5555plz585hwB6PB7y4paVFoVCABXM4nGQyiXWoqakBG1IoFLW1\ntWCg6XR6YmICoY+Dg4MAoEpLSxOJBGaxsrIikUhoTCNiR3t6ehYXF/EFLpdrt9uBGCuVSqz/jRs3\nXC4XEEur1RoMBrFxsVgMOkFhYWEqlYI4XFxcZDKZyKJLp9Oopog+jZBPQqEQ35RIJCqVCoLT6XQC\nZCaE3L9/HwGlg4ODU1NTmDugUUyzra0N25eXlzc9PQ2n4LZt2+bn5/E0uK/wK6lUil8Fg0E+nw8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aipqTGZTLQzAJyjxcXFPT09EFqPHj2SSqUQZplMBgMLhUI4FYQQHo+3tbUF9Yu2TamoqCgo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\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1bm5uIkGCzmJubk4sFkMV0Ol0Pp8Pgy8vL4eidvz48bm5OYjh0tLSvr4+6ArvvPMO9t1s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\n9XCQ8Hg8Wi5WqVTC0Dx+/DisNEIIco8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"output_type": "display_data"}], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(clamp(y));"]}, {"source": ["Denoising is obtained by minimizing the following functional\n", "$$ \\umin{x \\in \\RR^d} g(x) = \\frac{1}{2} \\norm{ y-x}^2 + \\la J(x) $$\n", "where $J(x)$ is a smoothed total variation of the image.\n", "$$ J(x) = \\sum_i \\norm{ (G x)_i }_{\\epsilon} $$\n", "where $ (Gx)_i \\in \\RR^2 $ is an approximation of the gradient of $x$ at pixel\n", "$i$ and for $u \\in \\RR^2$, we use the following smoothing of the\n", "$L^2$ norm in $\\RR^2$\n", "$$ \\norm{u}_\\epsilon = \\sqrt{ \\epsilon^2 + \\norm{u}^2 }, $$\n", "for a small value of $\\epsilon>0$.\n", "\n", "\n", "Value for $\\lambda$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["lambda = .3/5;"]}, {"source": ["Value for $\\epsilon$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 27, "cell_type": "code", "language": "python", "metadata": {}, "input": ["epsilon = 1e-3;"]}, {"source": ["TV norm."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Amplitude = @(u)sqrt(epsilon^2 + sum(u.^2,3));\n", "J = @(x)sum(sum(Amplitude(grad(x))));"]}, {"source": ["Function to minimize."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 29, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f = @(x)1/2*norm(x-y,'fro')^2 + lambda*J(x);"]}, {"source": ["The gradient of the functional read\n", "$$ \\nabla g(x) = x-y + \\lambda \\nabla J(x) $$\n", "where the gradient of the smoothed TV norm is\n", "$$ \\nabla J(x)_i = G^*( u ) \\qwhereq\n", " u_i = \\frac{ (G x)_i }{\\norm{ (G x)_i }_\\epsilon} $$\n", "where $G^*$ is the adjoint operator of $G$ which corresponds to minus\n", "a discretized divergence.\n", "\n", "\n", "Define the gradient of TV norm. Note that |div| implement $-G^*$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 30, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Normalize = @(u)u./repmat(Amplitude(u), [1 1 2]);\n", "GradJ = @(x)-div( Normalize(grad(x)) );"]}, {"source": ["Gradient of the functional."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 31, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Gradf = @(x)x-y+lambda*GradJ(x);"]}, {"source": ["The gradient of the functional can be written as\n", "$$ \\nabla g(x) = x - y + G^* \\circ \\delta_{A(x)} \\circ G (x) $$\n", "where $A(x) \\in \\RR^N$ is the norm of the gradient\n", "$$ A(x)_i = \\norm{(G u)_i} $$\n", "and where, for $x \\in \\RR^N$ and $ a \\in \\RR^{N} $,\n", "$$ \\de_{a}(u)_i = \\frac{u_i}{ \\sqrt{\\epsilon^2+a_i^2} }. $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 32, "cell_type": "code", "language": "python", "metadata": {}, "input": ["A = @(x)sqrt(sum(grad(x).^2, 3));\n", "delta = @(a,u)u./sqrt( epsilon^2 + repmat(a.^2,[1 1 2]) );"]}, {"source": ["This shows that the Hessian of $f$ is\n", "$$ Hf(x) = \\text{Id} + G^* \\circ \\delta_{d(x)} \\circ G + G^* \\circ \\Delta_{x} (G(x)) $$\n", "where $\\Delta_{x}(u) $ is the derivative of the mapping $ x \\mapsto\n", "\\delta_{d(x)}(u) $.\n", "\n", "\n", "Note that since $f$ is strictly convex, $Hf(x)$ is a positive\n", "definite matrix.\n", "\n", "\n", "We use a quasi-Newton scheme\n", "$$ x^{(\\ell+1)} = x^{(\\ell)} - H_\\ell^{-1} \\nabla f(x^{(\\ell)}), $$\n", "where $ H_\\ell $ is an approximation of the Hessian $H f(x^{(\\ell)})$.\n", "\n", "\n", "We define this approximation as\n", "$$ H_\\ell = \\tilde H f(x^{(\\ell)})\n", " \\qwhereq\n", " \\tilde Hf(x) = \\text{Id} + G^* \\circ \\delta_{x} \\circ G\n", "$$\n", "\n", "\n", "$H_\\ell$ is a symmetric positive\n", "definite matrix, that is bounded by bellow by the identity,\n", "which ensures the convergence of the method.\n", "\n", "\n", "\n", "Implement $\\tilde H f(x)$. Note that is parameterized by $a=A(x)$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 33, "cell_type": "code", "language": "python", "metadata": {}, "input": ["H = @(z,a)z - lambda*div( delta(a, grad(z)) );"]}, {"source": ["Implement $\\tilde H f(x)^{-1}$ using a conjugate gradient.\n", "Note that it takes as argument a previous solution |u_prev|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 34, "cell_type": "code", "language": "python", "metadata": {}, "input": ["flat = @(x)x(:); flatI = @(x)reshape(x,[n,n]);\n", "tol = eps; maxit = 40;\n", "Hinv = @(u,a,u_prev)cgs(@(z)flat(H(flatI(z),a)), flat(u),tol,maxit,[],[],flat(u_prev));"]}, {"source": ["Initialize the algorithm $x^{(0)} = y$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 35, "cell_type": "code", "language": "python", "metadata": {}, "input": ["x = y;"]}, {"source": ["Compute the vector $d = H_\\ell^{-1} \\nabla f(x^{(\\ell)})$.\n", "\n", "\n", "_Important:_ to get read of the warning message, you should use the code\n", "as this:"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 36, "cell_type": "code", "language": "python", "metadata": {}, "input": ["d = zeros(n); % replace thie line by the previous iterate d value\n", "[d,~] = Hinv(Gradf(x), A(x), d);\n", "d = flatI(d);"]}, {"source": ["Compute $x^{(\\ell+1)} = x^{(\\ell)} - d$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 37, "cell_type": "code", "language": "python", "metadata": {}, "input": ["x = x - d;"]}, {"source": ["__Exercise 3__\n", "\n", "Implement the Newton descent algorithm.\n", " d = Hinv(Gradf(x), A(x), d);"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 38, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 39, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the result."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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UWhtQj9MXkslk+HXhT7qyYBkl71bte/zCSQOD08iSuvI4uVwuM+zMhBDI1Qdp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\n8Mjlcr1ejzIGDhIspnCk7+7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AHjlyZD6fw+M9mUxoutScQ5Q9jA/FaVjHgyDI5/MwxLHl\nWFMonzT/E0FvFi5EfsK1tTWuR2RIx3HM0l9hGOIRe3t7msiRsln7TrdTvV4/cuQIBY/TDEuKHVN2\nkv9dLBaDJJrtscce+/3f/30zA03cktWWA0WR32w2GavLho1GI26YLIm+gv0Wb5BmuvRbRmhwsVjE\nra5cucITrl+/Xq/XQVN69NFHEVaIicQcV4EUp6YHUc13QapiOK7a1zoKaCawn/zkJ3fu3MHjEDlg\nKSN8vV7HEX1rQZJtstfrYRByuRz3glEUFYtFWOZHoxHDE0m30Tf46KOPYhrv7OycPXtWifseHxXe\nhOjh4eHhcSjhNbADxXg8pvbz9ttv46BmqSH6/T5pEYVCgVnJG40Gd5S6tSToHlcNbHt7m8V/TTLt\nktOsv7XosKpK6dQJoeTMZeFE2NZIoaROaVJLWhustHJtD/ek2K7ihk5JwEKhwNxCjlpDCgAHyonz\nVXMiTUbkTTi7crQcDAIQ01UnY9KNMAy1upXmmgqSlGBpM+aZM2cymczp06fN7J133lH1C+fU6/V+\nv6/sbRbj5ptikQHoB5/85CfN7LXXXvvRj35kZjs7O2FSsXpvb09ZmhgcPIiWYSh2q6urpOGsr6/T\nesbB1FoKmDa4M6f0uXPnXn755TfffNPMarXabDbD29ze3sZz6/U60yIrzVLrCbCpyrbodDpM+0R7\nRhAE5KrUajWowvP5/L333oMx8PXXX1cbBpMaq2mamiiLdUEFp2KtB52s1trg9fX1YrHILCRxErNc\nqVRwh7W1NUYFMIO2x0eCF2AHilar5cTzw+6PIwi14aqnVGaQcWFwwHpBM46WCT59+vSbb77JlZqP\nYGKk27dvz+dzOlEodSaTCWw7J0+eZHuU8UWkieyWOIc0yT266bhMVHSRX5emI2cyGSWnacYsXoUf\nWEDTfEWHEslIpjDJkYhHWKpoZ7oQiQIJRMDn1HQhKquwSNkihxMeJg4gnri5uYk7VCqVer3u5NEH\nIFHU+aTelGCxuGKaUflHf/RHuMP3vvc9SzJqOu+U5FJufRqNBq2RDCXsdDqcLdq7IAmfQAgdepTP\n5zXKUKtCwyA5GAww30Bc5ON4W3XaEWqxpAyGdZTTY29vD/KM3EUEokCQq3xCBi9Ldk7c69RqNRhC\nOZ9VcsNOaIn3FDk4CoUCA8U4o7LZrLq4SJTnaICmj3l49epVrSvr8SHhBdiBgib+7e1thnbhq7OE\noIFVntVvsblmbKwJyxxrsVYJeeutt/h9xnGsfHpIFHrXAY0+QdSqQpWVWCJP902ax320QonvoaS/\nu4fHAgBZ3FISzhGfEPlYaEajkRZOQ9/n8/l8PseSESZZg03i8JzA7WixIDIPYqjVF8igKGWR6BJP\ndSGKIqplYRiCmQ1wzRqNRlC8UBTG2c6DbqCUekcbhg7BQAhKu7W1tT/5kz8xs2az+eqrr5Kzo2lw\nych3PFuWxD9RX+GFPLPX6zkSl9cySmRjY+PatWs4yIGaz+dkslB3dJDmBCmq1So+pSiK9A61Wk11\nSvR9Z2cHkmY0Gt13331oBqIhLeGJqB6v+az5RLxc3TBFUcQze70ehp2DD9IQ9lKQqWfPntUeQRfE\n914oFLhX8Pjw8D4wDw8PD49DCa+BHSjoGyCFFxs6DRxGBOhkMsHu78iRI9xcb21tnTp1ykm1DmVC\nXV/4oeWPc7kcTB+rq6t0sSjFnDmo4iTFsN4NO266tdL9Yq4Kgr4xR0vgCfzNFFaWOPAYIWCLHMvt\n7W0MVD6fJwNQWWo0DOomN0rq6oKnx4BiqlNOKK5j28Sf9nU34lkIe8D2nFHV6Dv0XUQpQPHS3Bw6\nYltbW3gvy8vLDnveFhNcDYdDEg4d5w2fyxyy9A999rOffeONN6DiK9GcD1Iu3Gw2o/GZdET4GpkA\njAql6sSqmuBN3bp1q9/vQ7nv9Xr9fh932NraonuPLyUIgpWVFb5NzW1PlxsC/y2xWtti+igwQjlo\nTAb2n//5n3RMxnEM7VCtlCi8aUllZLVXsyVOjuYgCGAkRH/Vg6XjgN8nTpwg0ZS3VavsuXPn9v2y\nPO4NL8AOFJlMBq5g/TiDIEizDJTovLKycubMGUuWV/V1WxKgo9a8dMmxwWCAxDmFQoEfEnMa8T7O\nj0DSk9+tO1ibptOpZk4qFotYu5G4zxJBAiNJt9ulnOCdkQ0EgxNLni0axJDhnlYyPEup4Zb4qNg2\nS9Ix0DmBtHh4HNYOJvcisLHQemC5XA4OG5ineGcYAAuFQj6fhyGuXC7v7u6ShoAfx48fbzQaaowi\nlR+LJkPETBLq3w2IGHParFbB2WyWz+cxsCzYsbGx8fzzz7/66qt3u60SeXq9HqgW2BhxhKMoYtgZ\nNwqB1PrR4AdyYXq9HgYKASS4cDqdgguDN0KODKUXZTN+YA5gjlEMk/7AXjieVzzrpZdeymQyMCln\nMhlu7JADzCTrjSXkePwOggDCcl/zOBJ5oGug0fOjTHLoCAAAIABJREFU5uRpNBowG6qwfOihhyBB\np9PpYDDgNvRur8bjHvAC7EDBsiPdbpfbcH6KjmTinvrIkSMsXsUPSasz2KLUgVAZDAb403Q6Zdac\nRqMxHA7xpXGfrv4PW8xbypZEi8W08KdcLsfgJK7sELE4AesgL8FyoM3WLEFONSk+HUvAnTt34jh2\ndAjnN/0xjmwGGByGRzDXEZHL5XiVU1CUvIA4SYJlySYDyRI1v1R6sctkMnT58NHMb0SdwJLCUWwk\no/fo7afv00T50IKiACkq+O/58+d/+7d/m49755132H7uJEix0farN46ppLLZLIvDMUZbr1WdCdVk\nLGEhou/5fB5bnHK5THUN/mAyUbUZOr05YTTsWlVbTiQI7E6nc+3aNSp8/X4fwxKGIYYXEwPZwkaj\nEbtDYQmCEk0F+IRRJU59ZtgS8e2sra2xrhC6du7cOTOLoggyMggCVHdDm8GT9PhI8D4wDw8PD49D\nCa+BHSgGgwEZWfQS6Qmq5XAnvrOzg6gmheNz4lad2XrIVYPpRmnNNFKhGEq1Wq1Wq+RuUclQZjaM\nhLaY02E2m5HoSO4ceGWsfKjFMnBVs9mkEUy1jU6nQ/8TVYdMJvPBBx/gN0PKuA3H7pv1A+0uLqu0\nHy5Oclyhp3SMafFlAIkVmBzIEn4drYLT6bTdbnPEeFoYhnxrqu3RYsyGTadT0jVVFVZXCvIS2eIM\nodaFHySF234laZ5++mkkgI+i6B/+4R/MbDweUyuFvo5HsIVQ5amJ3rp1C8fV1UfVGUEXOJlmum63\nO51OwUo3odGPRiNMDCglzGfBuCiNVNPEzaqK8Z3a4ueAP+3s7HzrW98yMUUA88VynbwW/6LQTzqo\nq9/vO4+OJaMKIsYYRQfDQ7VaffbZZ+MkwQoDFdQgPxgMYEodjUZqrvD4kPAC7EDBCg5KPuZHwkgg\n/JcLB8OfYeNKr00s9wDRhVWGpnwksOfaurKyAvtSt9sljbtQKMC94ZRO5u9SqQQ/EGyJGoVji6Fa\n6IjjJw8kZ0+pVEob2SxFSdCYAUvkomNCVMMmFya9lUZG12o1LVSGxWs2m9GR7kRYx0k+wCiKsLJD\nmGF4yXPBc0HBiOP4D//wD1nBhAslCQXgCJD/rdsX9FSllGaId9Lu0VHKNtPVp90PgoDlPBgM0Gg0\n/uzP/szMvve9773xxhuIWS4Wi9PplC5GpO+q1Wrky8RxjMRdeN0U2JS4asQrFAp41vr6OklDcRyz\n3B03ED/4wQ8Yeliv16vVKsZhNpthQqphzdne4b+wY3OadTodyMu9vT10TW3swV3iDuv1OsXkqVOn\nsMtkjHwcx5DE+O0Yxm0xA/3Ro0e5sRgMBpixKrpYKQm7Rog9z+D4ePAmRA8PDw+PQwmvgR0o1PZC\nqC0i7bgOgmA4HGLrWq/X91W/eDJ2o9jFUwObz+f9fp/UuGKxyJq82Cpms9n5fO7UsnIao/qNmrn2\nTU/OHbGmC2FmEFoaTRLes1CkPpGDZknUp5PKSHnJqrFlMhk8q1gs9no9J7LVxEpJHzvuxuHlaFAp\nYatob8QRtVD96q/+KqyyHFVLjGzUnMiJd7htOuboHRNQkXxhojSYsDwcGkU+n4eS1263caZGWJ88\neRL9PXXq1N/93d+hwYi3xSOYxHY4HG5sbKAXCMNwVOdsNsscIrPZjDmjb9++TT5FtVqFytLr9WLJ\nFoar+v3+cDiEqpTL5brdLkxqk8mEEb65XA5qiircqp6SBoI24+QXX3wxbYxFODbzOOMtg53PTn3w\nwQf6ui2xCnKyMVevLVogCOiOjzzyiDLyyVfq9XoMulBjuFfCPga8ADtQDIfDfSOKaPBRKxCN8mb2\n2GOPmdlsNhsMBlhKsBTaIm8N1glazJh0ikthEAS7u7vOhw1rDAReHMdaT5lnqvFNV8O0qLNFFxSo\n87hcSdL4QbKfriBxHLdaLZLUVbClM3FoL7LZLAUYTshkMmrtZNVHmstg5KRM5VoW7JcuRM13t2/f\nZtaotbU1nAPKOF9HWj7NpUIxLVTwsWk3P2RavDipzIJMfXgvuFa54PyBx125coWj9MUvfhEJ4zWU\nULHv1or/rVQqXOvRBXALO50O2Ya1Wu29997D4zJSCBt3QAoS+iOLxSI9SUqkhMzQoir0fc5mM741\nPB1ZRnd2dnitjm2tViPXFCdo3AKqjDqzGkxLyEi6dTFiGvSCUL8gCE6dOmVmq6uru7u7vDmTwNES\nXqvV9DXdO3zCY194AXaguNscVXe9s1Jg78ZUUgwm3Zdk7HDK+dk7yge+Hzrw48WiTfq16/5Rrfls\nGxqmLncSytGey5cvmxnqSuidIZ/W19ehXCIqgMslnXNOyymxgoTHPxwOuf9FOI6JUqtLnuP/0BHj\ne9F4cKaC5WYCIoeUd3AinNeRFnsO0sMLT5LSx5npkeFWTs5GAo3EQgxv09ra2nw+d2qkTSaTXC6n\nKbXMrF6vnzt37q//+q/N7B//8R/5p+FwSF7MdDrlLNJwdUcGszFpOVcqlXAOVD2c0G630cJyuUwC\ny3vvvfc7v/M7GN4gCCCN1tfX+brZbG0DZg4Gaj6fv/vuuxBg+8YzmAQLUqJTWbTFLREvZwCiyeZM\n+x6G4fLyMq49f/48BJhJnImJ0w4nW/Ja8dw4jpnayuPDw/vAPDw8PDwOJbwGdqCo1+skv/FgmhYF\n0LVz4sSJNEvYZP/uZKTlRg9XnT59+vr169jYIm+3elZskQGl1j+SnqHW0KQJM6OZjcdjdKRare5r\ng6KrqdvtNhoNBvCGYfjEE0+Y2c2bN6GBvfjii5/97GfTIxbHsdpz0ntq8tbipMwmoCUz0n5Hx4iq\nrjWGZishMEoy//IODz/8MJOM9Pt9qHrT6XQ4HLJIB1+EQ44Hs25paUkHlicXCgUEJ6jt626TRC2T\nrJ95Nz+rM3ooFQ2f0yOPPNJsNun5i5JCoMViEcEASjTVrvFug8GAaUTCpObIZDLhrCiXyzjHFot9\n37lzB+fU6/Vms8mIBRJr6dFE6H06FdZsNsNtW63WD37wA61YbUneFjR1dXWVjVfFml3r9Xo0Y5bL\nZZ0Djl2x1+uRT4sg5RMnTpjZuXPncJUmeXFeH1rLoAVLkRs9PiS8ADtQNBoNLF7MAl4ul53SU0Cc\nlJCHQ56CZDKZ4EJWDIFthxVDdPHiotNoNPCVYrGAINHSLf1+P/39dDodZglCzjocP3r06NWrV00s\nb2p4iYUNv7y8jLxWpVKJxVm07sZoNMKi+eyzz6ozj785OEqdcEj2FMDKNCE4IKVSiT3Sv9JChRVN\nFxdLzJVqkXv00UfNjO403JlGVKbMUM4LLYRYTNH3QqFAAabijXdgshU9wVkKYTYslUqVSmXfc3T0\nCJzQbDYzmQwYBy+88MK///u/o2HM3x/Hca/XQ9/b7XatVnPSZCA6is9lDpdSqYQuDIfDH//4x3ES\nasaXRapREAQ0cd++ffull1566qmnzGw0Gv3Kr/yKJfsS5O2M4xhBjQClCxNEvfjiizs7O87uBF5b\nOswsMVBrCs04jhFuiNFgfg1amGNJb8aXzp1cFEUPPPAANjTxYpIXvkG9lreqVCqYA7u7u+kMcB6/\nFN6E6OHh4eFxKOE1sAPFnTt3uD0kr73dbrPArubiY9rZfr8Pm9Le3t4jjzxCBjn2y8iLkbar7O7u\n4gSoOMxRu7e3x7Bo6m1mBipztVolJ4J0xDiOafMxs1arRfY2dqDZbHYymbAEV6VSwXabDnOkxMXl\n+Xz+kUceQat6vR5zedDOBnqxQ1eDTuYoGQ4vQ+2Nab7MZDJpNBrMUK42SbWm4sJWq6UEdOygT5w4\nsb6+zpelLdE2sDvcv2u6WL44ZbsoIqkAqRQAtfRyHLDrR6A0Z5TSJjU6m+ZQDik5Gp/73OdardaX\nv/xl3BMHkb1Q80Dua9LkmCtVDy2/ceNGsVhk9hlLdMHl5WVGc/NPw+FwPp+Dy/CJT3wCJM9SqXTu\n3Dn24vTp06+//jpOwLXXr1+/cuXKhQsXzGxra6vT6WBMlAuqJlyGYweSEmU0GqFh0JXRZc49vXx7\ne1vzlUBje+KJJ1iWk3ZULaqg0yyTyZCowoiFIAjuNh887gEvwA4UTBPe7/c5p5lUl3wtHP/Zz35m\nZs8999yZM2eYBvf27dsgptMZALahrpswK3W7XQgJCBtWb1laWmLWIlhR0gFJGmUFbG1t4bOEuYyr\nP9dxrd4ymUxAFVN5o6niNzc30charRZLQBh+Y2kjnZpRXFzEWe8DafhJfKdPrlwu0whGa5VSJcnn\nnksVYJzMmp8wnW1vb586dQrdwcrIBOQqAmmt5YpMLl+8mJeWdwb/2xbtS87JsOsOh0OHnspXwyA5\nWzTkAlpQdDQa8U+UB5HUAXnhhRd+8pOfmNlbb71FU9upU6eUqgcEUmuGlRAQ8ICJSqdUFEWDwQDj\nlslkWMeVAwU/HH6vrq7u7e2dOXPGzP7yL/8SYm99fZ0Fl9GkT3/60yb5XIrF4sWLF5E1yqQgMkcS\nJU91xHB8PB5jjsGNqiZ0JZ1aYmzHVdxiouTs2bNncfD69ev4MJV5qPuwlZUVzQLMmYCPlNRWj48E\nL8AOFKPRCOsj4yLNrFQqMTRS9Qb4WkajkZrUoyjCTo3OoTAM+YVPp1Na9umk0X+x3DB4KM2J0G0j\nc6jjCL6xZrN59OhRqgigYHBLa2blclllFUDXCBrGtYMFPuhsw3/L5TIZ8FhMEetDejcGYTgcqsjH\no/FfbRIOsti8LW78HfcGoryXl5exHs3n88cee4wca744lc2qCM5mM3Lf0xLFhDvAqyBEmTkpDEMM\nDouAODxyx8dDcKCo5FFGxnHMwGpuXOiKw+BQ8WJp4G6322q1sMJubm5y+2WyxGsDOIy9Xg8To1Ao\nNBoNnNxutylQ2+02brWyssJ9Sbfb/dM//dPPfe5zaA9LujhuP+6NKGUfffRRuIR7vZ7KbLyIjY0N\nTkiMA78IOKSdanYc7SjJGoo3xXfBzcoTTzzx7LPPmtlkMimXy4y2prFBtyNUdp3AA1og0p5Lj18K\n7wPz8PDw8DiU8BrYgWJjY4MhydgntlqtfD6vtnJnI4YAfi3qqKWccY66cHRXTrK7VlhmklmF2jpm\nsxmdJcr9wyYXaekdGyPPt8UIASKO493dXShATz31VC6Xg6tjfX2d8cJKJqRBMkhSpKPN2JXTOmpi\nyqvX66urq2gwc2Vh48yMDGyDNozqYC6XY+b7s2fPIqF+qVRij6DE0HKob4p5zWk55Aty9KRGo8HR\n45hHUUQrMXVoThLlWytUccxkMkrHp6sPChYMa9Cbd3d3MTHAkicbNgiC3/3d3zWzr33ta1ALoK+j\nYaCz67hZYpWlxhOGIah0k8mE1csmkwncq5Yq/M1xg1X2n//5n48fP47fOrVoKsjn8xrQTQtho9F4\n8sknzewb3/hGnCSpIusVvVC/IIcaSW30tarOFEhB1zgp0cBUUidPnjxx4gTD2OMkisPRF/EDvi40\nTC32VJHTGQw8Pgy8ADtQ0JutPFpdhqJUNY2lpSXUMzSzMAxZVkOvYqpyvZCfH4wtED9XrlxRLoDa\nOniQvzV6ho4K0LWRVWF5eZnP6vV6LHeiJTFpJQvDEAvZ0aNHm80m1g7KIW0VsoOzdDWFaJAUm46T\nRBvqwkHKR7r3NBMHLXLMkk6JjsvRC0ivZ555xszW1tZYowREbQ5OnAqB0tWWPhK9RN9O2r4KoGEw\nANLdgv5Wq1Umm69Wqzs7O1olmXegZXI8HqetVXGSdyqbzcIarMQc4IEHHjCzJ5544mtf+5qZPf74\n43wvg8GAdmNNqsIJicYgCcXbb7/NlV29O/Q40iGUyWQef/zxv/qrv8Ljer1een/Gx1UqlVBqltL7\nePr06S9+8YtmduHCBVS3QWMwx9Jwxh+fD8aq2+2WSiW+O5rQGUeRyWTgpTt58qQlblH10jk3T0s1\nW9zw6bbD46PCC7ADBXPHFQoFUg/4bZTL5fl8jq/OyS6Kbwa8rHSYKqM+910Zg8WyuYzT1BNsMf+e\n4+bRbEn4Fw4b3jNOaiWj5dRp6N7DDaE/TSaTQqHAkr77froUbMpPoTBT1ZMRxwiYIy0Cw4iyINC6\nAqEmZjIZ+m+4+97c3FxZWcGF+4r20WjEoavVaoxC0yLaq6urVDh0eNP/pYI7GAxIHdSERmEYUmbo\nnr1QKFCP522n0ymJpoHk3Eq/VgKXw6Wk3MUvfOELIPWZWafTwQmodxVL9iZLNDC2jUmeNAS40Wjc\nvn3bEtnvJFf8i7/4i2eeeQZir9/vM1CP00lPLhQKYCqmRxXiBLKfIV+OGsc2oNmj0ehu/JR98+pS\n0cde8FOf+hTNIdhZOum7isUibRWIolMakS1O/rt9CB73hveBeXh4eHgcSngN7EBRrVaxhdeMolpn\nNpfL0bRCNWh9fR37uH6/n8/nwWNEnm/eWR0z5FDhT8zqa2aTyWRrawv/pTeIxkYgkkLMPEG3itRd\n6JyAEsMEH9oGJgHKZDLwKiGxCDQwZiS5B9QISQo7986MZoMZh+3E/ZWXaGKhLRaL4PEHQTAcDpFO\n6cEHH1xaWnISo4xGo8FgoFVXgF6vB/1pPB5TG4uSjOP3wGg0YjolPGttbU3zP7ELvV4PhECqPpb4\nIHEHBiGAZ6+X0yBJZU5Nl6phk7s4Ho/ZC1ABX3nlFeorxWIxnfHkyJEjrLYMFQQqr4l2qNq/Jf68\nMAxRFfrZZ5+dTqcwrYNfjlnd7/c1RzNeca/XQ0cscbk5vYjjuN1uY1Q10YzJLIqiCAzJYrHIpF+c\nvXYX4zBx+vRp8PiREY1VLsmWJGUft0Xfy+VyugzF3YzJHh8eXoAdKMgI6Ha7Tm4kM0N8FWc/PO1L\nS0tMG5/L5SjY1tbW1EmAH9PpVAuiE/xo4ziu1+v4wsnrVaidUCNm6HkejUYIndbz0So0rNFoQOia\nWavVggsEX/gnP/lJM0NtdYjParXKTHQqfpSNorITPiFaxpBCiV4W9SByjSYjf3d3lwmxer0e1kcs\nu0j3B0JHek1JW370v5VKRd1d6bJqWMh0QWeyeRzc2dkJk4IDjLEDIN3RSBzHu9PKapZQXdgMrvKW\nSLJsNksWhmOChqQfj8enT59myCA4Ee+++26v18OWq9lsnjlzBkMdRRFTLpFpEsexRrjjKgyp2vQw\n1F/4whdeeOEFMyuXy1evXqVVkCKBlk90nI6xyWSC+i/nz5/XDRz2RkePHr116xbtnDRjssuQGYzZ\n4Al0K+oWkBHH+BCQzurs2bOsf9btdnUbyvHXN6gvZV8TLv1h3oT4MeBNiB4eHh4ehxJeAztQ5PN5\naEIEdnxq0sEOFOwmM0NNPNo6oiiCcmOSmUbvVi6XqfRwT1coFGgxy2azSqnirbiXpK5Qq9W4j2Yp\nTnD5aJgi+Xg6naJh2I2Se83dqOa8yGQy0MDg3rdUdGc2m6UFCZyIs2fPMrCatpdyudxut/etCq1k\nTrQWVGb2nSe88MILaNhkMiGXgSw4Ut14Z+cE6Kbo78bGBnOsENAL9WWhPaplBos5n/ho5lJRbZuZ\njslq6ff7hUIBGglS9LKpUZJc3/aj/xB7e3u0nWazWcTnDgaDb37zm1RAd3Z2yGsFyQKddRImmQSY\no5g4rtrY2Dh58uSf//mf412Aqb+zs9Pr9Zi5ipq9Gn6VwDKbzZDtFwqQScIzM7tz587y8jIGTXlS\neityZ6j15nI5fb9KdNSRRFHZXC5HgonDxlQzPo7UajUGhPR6PX7UmklgX06Kx4eEF2AHiq2tLdpG\nSODmjFfvy3A4pHXRiRLD7NdCw0pso3mN+QVu3rzZarVgANnZ2WHtjzAMySLT74fCg4y7fD7viDqs\nEY8//jjCuSaTCYv+rays9Pt9hrwwsXe5XGZc2nA4/Pa3v60jE8dxrVZDrvHxeMxc+2ZG+x7XX47h\nYDDgEgAPCgUqToCQwN22t7e5LHa7XdbMnEwmeMTOzk7aEZVeWcKkjDLtq51OB3fWnFXOuskXxI0F\ngx8gAh3mp/6GYW1fpyl+IIkGl1262UqlEpfmIMlMoUfMDIUFQDLEkUqlgtd67Nixp556Cia7wWCg\nCZmwD4M0hVNWDa3T6fSdd97BgJRKJXjyvvjFLz788MP6xvGDFyqtX+1pURSB34idHKYic7djYjAj\nDE24DDxQMDulSVJKuFQdD5bzLji9EWkAMAcpnsW8lGgbMqpgtOv1+vb2Nicn5TQZj3DOmcdHhBdg\nBwrUELLFb4NeBP4w0Z/wdbEYB8vYc7mBY4wfkvKh8W3kcrkzZ86wHm6QhMoGSTIekID5XD6OWXng\nMcokdeiz2SxE4MWLF9EGlbKtVotxYKwBphI6CIJbt26BN8GNPxYv8OwLhUK6eBX2zg67hNKRI8a+\ncyQ7nY7uFdD31dXV3/iN3zAzJBMCE8ERfthoUwe1lJ5EnD9/HgouVMN77KZLpZJWzaC3hg12Lsfi\nDonF06Ik2++NGzeUyECaQJiU4wqlfjcDtnR6nD9/Ht4j+LoowCgXn3nmmaefftrMvvOd71Dxpezn\nNsUWFcrBYICJit3Ml770JVuUSUQul5tOp6yjzePBIq2cqpKJFxBdw4RnzRdLrBecKpx1JtnRTMhN\neNa+1ezwxCiKCoUCmPq1Wg0Hd3Z2qOSpNyuXy2F8NOQf4QEUrji/Vqsx4sJLr48H7wPz8PDw8DiU\n8BrYgSLt5zCzcrnMhJ6WbPwDYasPh0NsKhkoalKtA9aPQOjsTiLXMAy3traChEO4u7vrGOvBxuYO\nlKzlKIo0jYJy8R0zlC3mm5hMJthjdjodUtQefPBB8t0vX75MAh4NX0eOHGEejX2ZeDyiHgsaoPQS\nOrqgUJI2ZomaUiwWYTorl8tRFMFRMZ/P9c5K0YTGAycZlR6YreD3Qsun06lG4OJuGlGr6hfNVhjP\ndEYGp6gmN+np4ofoJkvYaFEeauHq5mQD+H5hiEODB4MB64nwob/+67/+2muv6cDi316vl7a5LS0t\noeL2o48+evToUWjbFy9eNMnlz8afOXMGg3b16lVNzcwTms0mVPNarUZDKMcH/aLWRb0qiiKeWSgU\ncHA8HtNYh+xZOoC2CM7DU6dO/d7v/R7mwHQ6pbExSgodmGilNAPoh2lJmSH8wCRst9vspibR9vjw\n8ALsQKGLLAWGSq8wyUSuCRTI2mi1WrBjmHxdpFSkAfsYSjBjjc7n88z/xLohvV5Pg1TIgWYEz9ra\nmoY3KU2f36o+F24Yk3x0s9ns+eefx19/8YtfpF1NyhSPpEqyJYsd3AkOo90kRkrNpyrd6bQH4A+j\njw1OCL6LyWRCvgyEBBYdvKNCoaC3wqBNp1NezlWM42D7JVlwZFUk1cJQKYb5AFk+xhJjJtx+vNXm\n5ib+xCxlsBbiEffddx/ngD6RaZNoFFUD7HQ6RX/VLVetVpeWljhXOR9yuRy7TwfVk08+Ccsk2vzW\nW29xuDgmSs24dOkSBp9FUog4jpGhxpLgsH3rZsF7urq6St6/St/RaERrZyaTcdKsYEj1uc77uu++\n+waDARNTaeRikMpIwr2gbhfiOGbYX7yY6YO2zXRMi8cvhR+yA8V9992HhHu6k40Xc+UxJS42+GfP\nnqUtHtKLlK19E97wDtx1YkXDQnznzp0wDOGwIWKpVxlLvQmyH6Ga4OB4PN5XS7BE4YCfiXQ7njwa\njbCElUqllZUV5kXEDyTzZWolXaS43Jw6dQrL8b5Aw6jDcXuuXLLl5WV69TDmg8EgLX1NCAWM80Vn\nGe6DhRWXaPQSL3Tojprri5l2IX7A5aOMYZO41E4mk0iqfer4Y+kvFovVahULK4gM6D6HS4VonOSl\nnc1mZDogLpuJrDQMCwdbrVYcx6xoRckaJKmbCoVCPp9HUij19zC0TpNWU1gWi8Vut4v2YOh0wAGy\nihhPZosOYzP7+te/bkkwe3o/Rw/irVu3arUadoTUjOFCdswSJnrkyZMnq9UquqxMqyAIlEuFHY8T\nyadbNB5kC6lYp/NSenwYeKXVw8PDw+NQwmtgB4pLly5hH0feFA04lmzHuGGHmUv373t7e2traw7J\nEOdAqSoWi0tLSzyBm/pqtcrcPxcuXEjb/dSNoZRuPj0MQ+w976b2cc+OLbCTXPjhhx/e2NjAHZhx\nyoSyhQ077X7wNploeOPx+P3336dGmLYlsv16FQYZHhQYGJm+gfnsuQseDoej0QhakS3ywqkWBAlr\nv9VqsVLJvrts4vbt25VKRd2fvBv1RRr9YLaF8h0k2Yer1SptvMq0hFZkSYgbqap8cSjwyCeybirT\n0jNLlrackVv9fp95RvBS8AZpM8xkMo8++ignEq3ZqmFUq1VYDq5fv54eHMffqZZzJZ3DfAenHR/B\naRwEAXRNDAJtCbwV0n1ZworEZOt2uyz2rW04ceIE3wUSjtTr9XK57IQbqoIOPr2SD9kFOqfr9ToT\nWDvOSFu0ZHh8ePhRO1DUajWsTXQhZLNZZU/wTH5+w+GQrgVUclIXvSVmHHrdK5UKs7rhiwqleG67\n3a5UKkwrxZAm5nGHHUnTz1uSex53QF1jnqzLBNqvjGdKsuFw2Gw20dNyuVyv19H40WhEeyYf12g0\nJpMJDGJxEvcWBMFgMMACWq1W9yWd2+KiADDwAEZUWsnSfAGsQThB+TKWSDs01Yl50Ix2rVarUqmw\n5gsWzbW1teFwiEUzWMwqCfNpIMHsJuJBX3Qcxwj6rtVqmjiRQsuSTcB0OkX5GzSVd2s0GvBgKalk\nMBgwVpomvnw+T3IHrZFhGObzeUwzMtEff/xx5UGQvOO8BcyWUqnkOPAsoZzQKps2oyGmQoMZHGBf\n8uMf/1jfFEcYP1ZXV5lAIJfLMbiYLefvI0eOcGJwh4H9Ad2rPEHryPBb0K8YGbxwK807lW7hvlsf\nj18Kb0L08PDw8DiU8BrYgWIwGFD3Yl4ZhfIpywP5AAAgAElEQVTESIebz+esDry7uwubDyjFvBA2\nFiTm4UFoYLPZbGdnByd/8MEHaT1P88Aq7SKOYzyXjTezIAiYrUD1CcaxhmFIOobmrDp37tyLL75o\nZu12O5PJQJfqdrtQU7B/h7pATctEVY0lt7empOJBnOAw19fX19EePHdpaUm5/hhSDsjy8nIYhlAy\n0kHTDur1OskabA+yMDhkPwUYJTSO6d6fec0DqUSKE6A9gGe4urqqtk1oisjLjNPOnz8fJKEUSizM\nZrPUnDD3qCmybfi9vLyMHrVaLSXscT5cu3YtHdCttu7JZAKz4e7ubqFQQIp6h6yE1sKIB7OtUwcA\n8w0ZQDie5I8wC8ZsNuv3+5j2jpWPNF2tSJ7W0XUaM8WzmT322GOwPUDb5mRm2uV8Pk/KPoeazFtq\ntwRuvrKywoISUVJ1c3d315M4Pga8ADtQ1Ot1ksLxfbKyhkkmBZMglel0qnxCmvjpegFXDXcD/U/r\npJjZ1tYWq4qcPn262Wzie9Z4Gn5+auWIoogxWKTGwSdBwxS/Og1k4TdMO9t9993X6XTOnj1rZu+9\n997ly5e5uERJYkC6Q3QhI38SefCYR5yWIq07w/HkOvXUU09dvnxZk2+R/KamPNwW/6LL1WqVYoZk\nM4pYk6TyzjiY2IXUQESX2/LyMmnxLLTtrN3OWgYZjIRMJmn3HPvt/2Hvy2LkuK6zT/W+77PPcEgO\nd5EUJcqSKOsXnAixDcNBbMOAH4LAeQsQIC95cp5iIImfkofAgAM4SBAECBA7sS0DSRw5sgXbkmzR\n2iyK4jockrP2dPf03tVr1f/woT6crh4plB4mIFDngWj2VFfde6vqnu0734EpsC8EzjTNnZ0d/Lde\nr2OOmiGs2+3WajVcotlsItgIOCjvFPOvjz/+ONUtUX/QzXiGGePVulanG109Pzl9fuh2uzhyb28v\nnU5DcRqGgY5C4tB+ishgMLh79y6fHNKJiaNN8XJhJECfYqFY94YpX7hwAUs9PT2NMx86dAi/mp2d\n3draIjhelx5qcxCLVq1WQdum/5RKpWg9dLtdpvoMw8CvvCKwjyeeAjtQ2d3dnSyBEgdlMDc3t7m5\nWS6XxWltLk7TDXoe3HFM08RbzR61IrKyssIiFeJ6QZwK+H69Xg8Gg9g+9OYVjUZ1SwtXtSlSWXjH\nLMsif67uRKxtW2bXSDG1vLzMXFc2m+10OsxDYLOAAweLFboB32seSDh/evVGo1EoFNKdcHn8ysqK\niKytrbG8DNnEya1/XwRzq9XSrbGx+6AzCxM2eqPUaoMNoLGMa2trTK2JAu7r5TKcxtzap3RNahK3\n4ne6AGMKeB5WV1ej0SjHwKn1ej02Q4Ge2N3dnZ2dxSB7vZ7lNElBiTcnoq9LPWE7FVQ0VlKplGZ/\nZiSAD4Nf9SxOJpO4bq1WY02e7mUTDAbZ1DsUChG8w62fT8JoNHr99ddxtp2dnWAwSGAUSymYf4Jo\n7i7I8vIyChIymcyRI0fgoXLiYIZkL3VqRJczh++z2azueM4oCI0Y/biSWXvSL/TkQcRT+5544okn\nnjyU4nlgByrM6GiDi8B30M7SbCTgnuEUYAWZuNKBF5yw2WzqWAR8BXSPhHnu9/t1uw2Ibdvsdkj0\noGvkzJN1u91IJOIapI5tHjp0qNFouPosT09P+/1+en705zgdXVsdDAZZpo3cmIyHbmSc14pj4KqG\nQiGNW6P/SlYO7eDatg3P4969ezT2xWn1kkwm6be5IKP0Asl0nE6ntX1tOAW87PSIlBUhlCSYIAGV\nbduk8Ke4ahL0jeM6MBp27Nixer2uQ7vixPqIDsefCoWCpVpIb25u4hKxWAz+cTAYpIMlym3lh0Qi\nwXjm4uKiaZpEP5J1wnAqnW3bZtx7MBjgAEAfdRCYgpEj/ADXHOPHD2u1Gpwwy7IuX74MJg4XgB4f\nXKk+eqU+1QyFGMVYLGaaJpCrrg4MBPruixg0VNdN3C9WzYsTouC7ya7rmpL7ypUrk6f15MPFU2D/\nN6JfJ+ohy7JIncB0Al4YwtZFvefc4vmN5ijii4QsNzaRTCZTLBaxdzO2pkXnRbQw7cSWuzKh53D1\ncrnMpA6VysmTJ+v1OhTYzs6OZhQkdJuvt2mazDZxdjrKNzU1pUvK8MN8Ps+EP3DPMq7AGEgURbQP\niwHabmZmptfrYd/kTYEGJU6ENCV62Ymk19rLNE2G0VKplE5wQj0wGGWPVy9RwRjj9BlMT2qQCD+T\nUss0TVdIk2dwfYPDuJnOzc3ZTm0TFC06cWPFENlGWJUAFp07BJ8I7QP+ad+KPeRlcQBaeIsy70Tk\n7t27PGB1dRUx9qWlJS5jt9vFXavX66+88gpXjA8qjzTGqby0raCHxKj4cDgka9TkohFi41pbEr7Y\nto0pa3SP61Q0Fm3FHXPy5MnJhfLkw8VTYAcqqVSKbHJAIuXzeQbHa7Uau/NpNCDpaKHVuHfoVnhE\n3+nMFvWZz+cDEkzb4C6sAXPmLJxy/YliK7Yenc6B10U7VJwaHRFZXV1dX1/nG85ZsP4sHA4zOQQ4\nnMuOhqbHaWu1Gnd57IDiuGgsTdX7hdboXEns0bbiQsR6YjwghZJxo77b7U4S8YXD4ampKeLNWq0W\nk4X6GP0TDHhzc1OTUdHasBRFLERjFw1FdagBC1r0l5yahm7SVtBsgeI8RT6fDzAH1GBxCrZtsy/X\nJPqOiCGcAQ+Dz+ejeypKDRcKBb/TirNWq+n6ZbIP4wVBQhQPVbFYDAaDWL3RaIQP3//+9+nL7rva\nekEQz8ABmru5XC6fOnVKRAaDwdGjRyeXNBAIUC0ReuNKgiJzRjUMakfXxCFaBdI++yCKAE8+RLwc\nmCeeeOKJJw+leB7YgcpoNKLpih4TjBPKeJCBQTYcAL/NNM1Tp04husU2gDLepUWTUcG+DgQCMzMz\nBJ5p8nsIOmIwxshLu0L2lA9iDZgMmPBUzK/wT3S8YHiiEzws08XFxVKpBFueoUXEduCy6CCbDukY\nTv2TFk6t3+9ns1ksmjbSXcava+46/GjbNqsFGC6zLKvVamGJYGi7QritVsty6HHhbeMMS0tL7PEh\nqgBgNBoxgEniWjKD4Pz0DvWqMlHKbtGGwxEsiuJIz11zZ/j9fkLm4Exsb2/bto2Ymw4GGoaBLzud\nTrlchrtWqVRImaGdPNM0Jxt/08VEbJBPfq1WQ9xVNwPiSvZ6PbYLmJmZwQH37t1LJBL4VSQS0c4N\nIw3aG6YXriMQZ86cwdl++7d/m39iP2UNfyVuEC6p9j7pmekmorKf4GzVapXJYMMwdOsiTx5QPAV2\noKJx8JB2u71vewhdQBqJRBhXYTMhdpD6IEH0RpwKKuxNu7u7VKLcNSKRCJM3wNnjAG61qDObjMzI\neP0Kc+z8oYxrZewj+XzeNE1ckVAUHW8RlT/geZCxY8KAzZk0BMC2bewChDhrditEYjV9OEfIbZdY\nFap/Q7XrhXbRZcsyHp3T32sVyJ1d16J1Oh3MAjW5Oh7F8fDMrns9mZuhILMyCbhwoWBk3GyampoK\nh8NAtG9vbwP4oDse6N+yBj8YDOZyOSpOInds20ZEbnNzk2HkfeEPLtOtUqlwpnz2hsMhMBrdbve5\n557DUz0YDIBuf/vttwmvR8JSZ79kvFW0fip4WCaTicfjv/M7v4Op6b7Juoccz8CiTNdE8A2I0ESZ\nWZwgx0PMiL6tk8gpT/5X8UKInnjiiSeePJTieWAHKjMzMzCum80mDD1Y97aDjP+gekYYfUePHiWc\nl3YlYke64BcGo8/ng92KwwAK73a7bOilr0XmqlgsphEEMMB1YaYWTSzi+snkJRjOQldcfBmJRBh8\n02cG/g2fiZYmkIH10YFAgIsG0AoCpOl0mv4c45+pVIqgOzYkm4R7uACW8I2IrDFNk1Y8m2PRZ0U0\nklgVrLmouK5t2wiW4tL0tAynv7PP5yOoR1MouVYeZ+j1egjBiUixWKTJn8vl4Azxr+JQuogCWAIE\nr1lgELbVfpIGOhIyyuAY4Je8bjQaxWcWzqMembfSsiwGgbXDwcWxbRt3ENUL+CuJ0CKRSL1eR/Qy\nHo9/4xvfEJFyuazbMnA8+qWo1WpcCu3h8VSgSBaHRMZVXOyKkRA8RfSpqwTlw+EYjE8AAqPn/iG/\n8mRf8RTYgQo3ej7E4KsmIo5HukI3iO0Eg8FgMIhwPzuUu7ZgjcvXGxaDkICby/g7wyYjGluFlAOO\njEajukSMgD1XcIbCtpCoPzt//vzm5ia7hJTLZcwrEAggtsn20BD9Yus9wnbo5rAfoR0ip8B47HA4\n1HqRI49Go8TfT6LhZb8wDiNgFFZWcSskxxXjS/pshmGYpkked63s8blWq/l8PszIMIxms2k43BY4\nW7vd1jRahUIB0TNxCph0zAqVTPgrsO+ilCXWnKUL1FW6poJKK5vNsjUBYPqu6CjOSa6vdDoNnT01\nNYVfWapTTCQS4eZOXYiHEDcLDCB8FDGetbW1ZDKJgw8dOmRZFvk5MXc9pHA4PBgMaG1wOul0mg8G\n7yYB93i5CJ3X6oeUnhrDyVvMrB6UpY5Xi4Ms1Q8Pb4G2CfjXSXS+J/+reArsQGU0Gt26dUtEpqen\nWaepyZAMVe0IqVQqmUymVCqJSK/Xy+fzbICrS7Ig2Cxcuev5+fnNzU2yNKFeB8cTNs193NV2Ftdy\n5czEebG51ep/w+EwmXtGo9G5c+fEwVVjmq1Wizkq7gvoAoMvdSKEqRfbtiuVCkYyOzuLqVF7icjq\n6io67XKpRSQUCoXDYV6FhVkalkJ/AgxJkylJjT7QHglOkkgkNLUdf1UsFvV/5+bmRKRUKrXbbap/\nrLPl9H4TxZgsMtZORdTGurq6ykFiE8e+jGFghDoBIyJra2uLi4s8Icj6aJ3IRHM4DAANUFBjHgwG\neS80YbE4dhL+StJInkrUTeRVNLMw7wWUNH5SqVQwnXg8bts2EeqBQAB3eXd3F2uFDC5zYLRp4vE4\nHR2GK0AKiucwnU7jvh86dGh2dpYEiXxBePuGw2EwGJyMjuhEr+Ww/RLmg4tqw+uDCtI9+dji5cA8\n8cQTTzx5KMXzwA5UEokEy4RpvumUw6R1FolE5ufnSYYEkLQo+91QhcyiGFFJOwsAIa5bqVRSqRTM\nc0KoReT48eMI4iHogQjVwsLCJEpqEnzFuegD6BfiuihBxcFzc3M6b8HzgCpXRKampvL5vKuBr2EY\n+XwecTb21GCYUUQQWSJbFdeZdco6uKcjh1xSUQXF9LoYuxMHOa07SosIul1rjwREGyy7BogU6SVD\nldyCP5djmCx/RntMfOj1eqzRlnHmLQi9wG63q2NctkPdhDgwjmQ1dz6fdwVvRcWWm81mp9PBo8US\ne5nwxeHcAx/roiJDxI+ukh4P3DKEBJCs1ZdmUhag1s3NTRFJp9NHjhyBB/bVr34VtwBAR/iUiJ9j\nmkyG4VYySt/r9diQCA8JqOjpNQaDQYx/enpaQ9v3jftZTndTvYCcPkKak8ury//55Qdh7j35EPEU\n2IHKxsYGszJ4i8gAJCLIHiMnRP0EIbk4EjkykbzRSGWNAxZnj8DlsBUaDqc46XO4i2GLOX36tIj0\nej1EY7CVIMai+43pwBqjNKjgYcwErZ6wEUD9bG5uxuNxRJBCoRBp6XXUy+fzsd80v+SOIw6KAQtC\nCEyxWCTbFs4PTqlJEMTOzg6iUlgBTD8cDqfTaVJXuOKi4qg3BlSxT9XrdQYAIVjqer3OKBkTM81m\nM5vNMqzEW08VGA6Hdd8Nfv4gUiIQrASDwXQ6zVox8puQt+LixYt6bTHyXC7neopc5282m8PhEErU\ntu1EIoGbNfng8bRUjXhaOp0OsfX4Fc6mE0W9Xg/THI1GtVqNRgmeNKSX8FIcOXJERN566y0RuXnz\nJh4qbcqI0xtIFB+mqD7LQLIwWYVbubS0xLAhooV4KtC4joO3HZ4tzU6CD9p0M1TZWbvdJpqJSx0K\nhQh0Mk0TAztx4sTbb78tnnxE8RTYgUoqlXKx3DLrIyJgkiXJKVNcLAVFFyu+q/rd0Kg/IsR07grd\nInw+H7dIvmmuOiRR+wt7L8m46mKb+UkMFVQLzfa1tTURuXDhgu6mCNIsEanX6wQWUtPgbNAKlUqF\n24FpmsjzM9dlGEYsFoORi36P9ESxUdJXo2CcrGRC0lGXCXMFaGoQVoDFB1yt0WjgJIFAoNls4iqx\nWKzT6WCQ0WjUcAgSbdvm1q/xovzgMuonlQr3TZedjp1dOzeGYaytrcEEMRREUBQNIE4CqCe+7Pf7\nbJKiLyqKGywej7swO9iL6TNp6A27wwSDQXqHrVaLsAgcWS6X6/U6HidqLxEplUqE+cRiMSxaJpPh\nU8SnsVAoZDIZDc0wHFQqrahOp0OjQTOLouumz+ejhScO8ASf+UByTfTjxKdLH6ATkBoSxQ/xeJy4\nqr29vRMnTojI5cuXvdzYxxAvB+aJJ5544slDKZ4HdqDC9INt2wAWwiWiicoACJlGY7EYccaGYQSD\nQZhvNPAhNGxFZcVIZXTr1i12BGZ4jTa7bdsMJ7rE1dueQjA9rqgJnNC1hHkIXEv7AYPBAPQK+C+M\n3Lm5uWQyCRA2IGqanIlzx0/YDAWn4tomk0lEdUA+IuPOjW3b4XAYjpppmvA8pqamdIcUEs+zE7Fu\nd7m+vs7wLGNcjUZje3sbOZharYbOLCLS7XaBPDQMA4E+Ebl8+fLFixcx+FgsBqs/m832ej0MY3d3\nt9/vE1KPhdWlaRrvvru7y5gq3UQRSafTeEjoWXa7Xd3QmSQXnFo0GtW9fvTtZnyM4UTTNPnkTD4V\nMh5GG41GiDrANyLqHb8tFou2bb/77rtYh1Kp9MYbb2A6GOSxY8cKhQI+Y8H/9m//VlS7BsQPOIZS\nqQTPWLuqLNjCLOC2zs3N0X8V5xHF84YzNJtNTpBlf4ZTJYZ7hEsjAolpxuNxvg6MTCC6wFAzA62J\nRAKwZEbdPflI4imwAxWdD8DzioazpMfWuy0Z5Bj5gXpjip6hG0OVXhrjRaYiUiwWw+Ewsmjg5XMF\nISd7y04KY1/IOXHL0K2e8CWKh/g2fuITn8AB3C4TiUSv10NITQceyUpuWVY4HIYyI2MW3nCqXjIW\nmqYJREMul2O7KZ5Zazifz1er1bCBckldOXZyTZG+C3vQ1atXRWRjY+OJJ57A8u7s7PBGJBIJjMEw\nDH5Pgr5CoTA7O4sBP/fcc9VqFRcdDoek0WLXEoyT6U/kew4dOpRMJnHa9fV1llLcunXrtddeE5FP\nfvKT0WiUa5LL5ai6kCjS99dQra1Yao2aM+62hqqp4JISIE7RmsPerymMLj+HYGqdTgdhc8Bb8Bm1\nz+AIFceyQbX1k08+KSLdbrdSqbz66qsyjtHgv51Oh+HEfr+Pu9ztdhmE7/V67I139OhRVrsbTvts\nsCnqaDmEcT9xbIXhcMhGfZg46zJJk1atVpmM9Pv9COPPzs4S6MTHbNJG9ORBxAsheuKJJ5548lCK\n54H9nwlsZJjS+/ZBhhmoW+ICmc1Gfx9usvl8PrgFmUyGPZQbjQbJkPjzD6Gw2lcmgSQy3mxan+0X\nv/iFiDz11FO8CmaBUBsrkcvlMm3qUCh0+/Ztnk1HqwgwI9kS8ZPwXzk1RO2Wl5c5WvTJRBjHNUi9\nkrgvIDUWh9QDEcK5ubl9K6w1W4fP6dM2GAwOHz4sIogVW05LTF7X7/djvoPBoFaroXQBGEWUJ6dS\nKdzrZrO5u7v75ptv4mal02kSI+EMGxsbhw8fhmeA2BpbfWLAJHkSkUwmw3DZ9PQ0Q7UaDas/c2VY\nI7/vuunjCeJgfbE4uE3b6ax27do1EVlfX9/d3XXRw0Ow/ufOnTt//jy+CYfDf/iHf8iLkpKfFPVw\n0zXcUZxYIvuTpVIp/HB+fp4tvng3u93uvXv3sOxE+ogTJNRLaivgezQaZViVYllWPB4n6MO2bcZ7\n8TAgRDkJ6vHkwcVTYAcqrEER9frZiuwcVHiiWgYDeYifUAHIeNpJ74k6D4HIJHpFIlqCndH1pmkC\nbwjDGvqlmiy90pVkfLFdAgUTCARSqRQ2NQQPieSGlrUsq1wuA/ONzpaGA2uePCevi6ovCODRnBoU\nVa/X6/V60A1bW1uPPfYYNjKaBbrJNf5FzE3H07gH+Xy+3d1dKKRwOAybwDTN4XCI2zEajX71q18d\nP35cRKanp1n7VSgUgMYcOCIqzdbpdO7cuYPnoVgs1mo1klhilRA/xCxIk49LYAUymUwqleJ+urW1\nhTE/9thjzGKipYCM0ylNIg9FVQgwCyhOO5vJI13bru7+Qzl06BAW9o033sA6bGxs4LTb29u60k4/\nQo888og4BSdY6hdffFGPVjOJ6JoThrU1wBWmUjgcLhaLTz31lCgQPCwJvo/5fH6STVEcfdbpdPQr\nxiAkI9Ws/8MAiH6kOuTyxmKxer1OSjnx5KOLt2oHLVpXiVNuTAC0jGfs8WFvb4/ppVOnTvGwyUa3\nrvwWlKUG/uJI8hWxczwhIfV6nZs7T9XtdpPJJNNFmq5Ud6fdV4HR8u31eoRW08YPh8PYR0qlks/n\nw+6WyWTox8h4Np4WPVmGDcOAYbuv/Q77AJe4cOGCXjFXXTM+EBGAbBZGyP5Y/X5/b28PLkswGGTe\nkVlM27ahvURkMBgAmzA9PU2WrH6/32638cNisajLquCSGoZBJi3eVowKA9ZUir1eD3q6UCg0Gg16\nIT6fDyVTiUSCzI0sbHc9EhopzueQi0kzaF/UhmvN6UPH43GdXIQ+/ulPf7q7uwsTajAYsHczuRn1\nW/DpT38avzVNs9FoAOnw53/+5zwnq0SCweDCwgKwOdrJo9IC2zLGk0gklpaWlpeXJ2fhgnKI0qZ4\nJJjA1u3oJnH2+nXmSxqPx2lcajsgGo1iQQqFgteR+WOIlwPzxBNPPPHkoRTPAztQASG3KJPtg1r8\n0eIGRA3m4ZEjRzQrtv4Vm2KQOYneGJIijErRwGfTW2Qs6BLxnLpOU4eVCIbW3p4mNtWGOaBlovB+\n+q+BQABTg3mL3ANcNATH0um07TAgNJtNXKXRaMDr8vv9rHKF0LlkL+PRaERIHhOHbHqC+BWpfSZ7\nfAC2jsHAFdbAaBHp9XognMWvSAbP+txf//rX58+fx+dSqcQbhNphjGp6ehq/2t7e1r4sTnvz5k1W\nfBuq6/TnP//5kydPihOAAvf8xYsXybXfbrcZ2iKJrXZDxfEz4JfTRYD3eezYMdu2Ac8jQbNLarUa\n23KKaiGNv+7s7Lz00kt4BtBCxR4vJNcHP/roo1gKff5EIrG1tfWP//iPMu672E5baowBtxil0Bwn\nDkA9CQY5MzPz7LPPTtZ+yHjTBs3G65qvjh+GQiHDYT2Ox+P37t3jn2S8aL1erzNtSZgiroXlnWyD\n4MmDiKfADlSy2SwJctgm2IVTIIJZVzhBr9y7d+/MmTP4UoM4uJkipYEXQ7/tq6urTOaz/zL5sxGG\n4tn4Q/Y64VYr47ue7XC369Cl3kFsp4LNNM1kMomtc2Fh4f79+wiFUS+S+UKcAilmF7BiTC2ISLPZ\nxIKAu0SvsItRUAPBNZegOBuWq7suM/PlcpmYfr/fj7wXOv9y7oQ/tNttJKjQ+4qoASoM2ykAsG27\nWq1S/fOARqPB3Gez2SQAgavX6/WoadLpNCrMHnvsMag9dOSBMkO1FldPI+Mnu4GzekzbVT6fD0E2\n/BeBOGOiaw8+IN4r491DfvCDH7z++uvisL/rHC1YVEajEZ8owzCQJAP7DNgxSGn46quvvvDCCyyk\ns5x21clkkqdluxOg0vk9k2Gc+OLiInWn3+9nvpOZZqbN9Oq5IpxcUrSj45dQUcQl6d8C/8K0LqOF\nk0yJnnwk8RTYgUoqlSKEQb/23D7s/Yj7TNPE3gS0hSsboVEVEKTQSZkzGAwKhQJe+0Kh0Ov1sB0g\nLyUi1WpVd+5gg3ZxMi4uumFNuoMzaC2CvRLYDfYe297enpubw2H1eh3btIgMh0OUOuHM5Clm0oht\nGFGhhTef1HbYOMgqKcr45YLQTN5XMFqtwF555RURWVpaog7QPSppH9DR3N7eZkMcIOIw91wuh8WZ\nmZmp1Wr0Y0hFeObMGezyp0+f3traeuedd0Tk8OHD2glGokhEqMBCodBnPvOZ//f//h8vhwNyuRx+\niKFSR2q/mYlS5F38fv9gMMABwWAwGo3i4eS+bDuCS2ikA7/UbEnRaPTv/u7vROStt95iQTeuIo72\nom0B02d2djYQCCwuLorIwsICD0gkEj/84Q9F5J/+6Z/QL00cY8J2qC/5Iuj2mD6fj5henU7GjFZW\nVsihTKsLzw+MBlwCyw4WK57WmujdyrdmNBqRn5qWpW6TNDc3ZznNPDudDhx628FqQlwkc548iHg5\nME888cQTTx5K8TywAxVgpWQi3QKBpU+TGfEN8KnfuHFDRObm5jY2NmDL6yyC9jCILLcdriMYhnRu\nwHMhTidAGaexQdkTgiH0BcFRy0vQbBfle9Hg1VNjR+CXXnrp9OnT8LowWlyiXq/DVN/c3Mxms7ZT\nJKSR60zM8LSzs7M6F0g0IOOQOlGk62xcIDoRSaVSaNghIu12e3NzEzEuDY9GkBBnGI1GBLxptBtz\nTuFwGL/1+/0glQBbGACWlmXt7OzgDr733ns4oNvt+v1+kLratk1KDnHs/WAwSHKNL33pS88//zy+\nv3nzJtYElVL75lPpFoxGIy4gHUody/L5fIgouqLTGh2H+BipQNjUWEReeOEF1uTR/ULMgD605syF\n15XJZEajER6GTCbDEd68efPf/u3fxKlq4PeRSISuEmMPfPYYv3U9A3Nzc/ge9XDkoCI7VDQapc/K\n3i6kbcOYfU7TZwQ5EVWm0PPjg4ocGLsx6NuKKSAUwS/5yHny4OIpsAOVyT1UB8pHo5EOvmObE8VZ\n1+l0NBG7Pg/hADIRVDQMI5FIYHOJRJJXyDEAACAASURBVCIExI9GI2xDunyK264WHbqR8YzXJPbX\n5/MxQsgUFxJCTBgw8EUg+HA4RFxLxnur86K7u7u5XI5rwkBZJBJB0k5vEK4Vxr6sezvp9An/BEAH\nz8xQ3tbWFmJr7Xab+AgtxWJRc1Ph5CdOnCAeZ2dnB1Gp1dXVxcVFEhUyKsVo1c2bNweDARQAe234\nfL54PP4Hf/AHInLy5EnTNFdXVzELMHXpFTNNczQaYTUGgwE2UPIfiuqj7Uof6vA1NtNGo0F9Iypi\n1mq1YNBsbGxUq1WUJDM7KCJLS0usgROnNjyfz7fbbVR38bFBRBr1f+12O5PJvPjiiyLyzW9+U98g\njjASiVDrsM2YbdsAUCC2rGkhIdPT08jqoQJEY+U5WT4ShOTwOdfgF9bOo7gClgRMLldUX0SmpqYA\nh0GgFQcz36mrNmWiqZgnDyLeknniiSeeePJQiueBHagQ+KdT3+R0FxFCxfa1fC3LarfbxCsj8II4\nIaw/+D2wQPf29jR6iqw5pVJJJ/ZlPFffbDZzuRwsenqEtm0TLY0REoivQW4cpI6u4PutrS0y7fp8\nvmaziWAUXCgRiUaj29vbmLuLlQC2fDwe18gX/Am+qeEwaEQikckw2nA43LcJJwRlxaw3sCyL6EQC\nB65cuYKR7+zsgFNKHOp6nIHul4gUi0V0j6Q93u/3CaJLJpPD4RBkssT6BwKBUChEMIs40GpyZ6TT\n6a9+9avwYxqNxtbWFqap21RS4NzAu/L5fJh7MBik8+pzmoVqDwDLyAAsWWC4YnQacAnEtF9++eVu\nt4uFymazKysrfBrRkCyVSm1ubsKhhGfD5x/XzWQyuVwO07Qs6z/+4z/+9V//1TUjHS1kO1bbtjVP\nFfvPkcxX9w0IBAJsAzscDhmsA5jTJcFgEM43OATEcS5x2pmZGfQKH41G7MUKp5YgGj5jDKHjTXGh\nPFxJhA+BGnnyQeIpsAOVWq2GvSOZTLKnsKj3maEVzdxDZHAikSBEsF6v4wUAGljHH/A925kj94A/\nIQGDPNm+IYujR48ahgHVuLe3h+u2Wi2fz8etR7f74yDJzK1BdDra1mg0oAKh3rAdl0olLMjMzEy5\nXNbJBmodQuMY2+QeoVUOiMZdl9Y7hTYaKKZpauoEtusdjUaABe7t7XEWCMfZDs89vozH45peCCEy\nLaVSqVqtYo8OhULHjh3Db0ulEmqeBoPB+++/z7H5fD7ssOl0Glv/7/7u74p6VI4dO4aYmxZGxhiO\nFqWiRqNRs9kkhJ2Vgvw5rBkqAx3ZZsDN5/MhzPvd734X9gdgkLit/X6fZGBLS0uIDMMewtlqtZrW\nl/iQz+d1NvF73/uea146IRcMBrvdLtUP4YW2bYN2EgoSA45Go3ge0GRn36cdMT0Xj5r+L6tExLEJ\n1tbWdKCeNQZc81wux0eX/WmB18X3oVCI/F76upMU+J78r+IpsAOVbDbL7LdGZuusFV6/9fV1vDxo\nL2Q7FTmFQoEH0z1ytUSCQzA7O4v2DWzjJM5Lwh/i9YMuwWmr1WokEsEPxXlp4frwNdaID12SyR1W\nd23nqL773e9+4QtfwOd0Om05fKaY5t7e3sLCAotJNzc3cYBpmtgK0UqNtVwXLlwQkStXrvDq6XSa\nOpu5N1cBgDhskI1GgweQYrXT6QyHQ6xJpVLRvW/wwTRN7p6EAOCHuFAmk+n3+4An3LhxA/tUtVpF\nRxsReeKJJ7j+rNjd3t7mNo1qIXjS8/Pzzz//PMcPK2RlZSUWi2keWz45ZH/2+XwwBUzT1M13MDVS\n38r4HkoFRqpJYCKwUOvr69/61rdQzsG+KigSxyWy2SyLF9n4ipYBVgzKHvcdoBW/359KpdCt5hvf\n+MZkXZTm+cUz7zoGGVwqLcMwYBrS20MCTL9iSGKdOXNm0qAJBAIkWSbttd/vp3XFJwqz5pdcPUBy\neEI8b64vMULtuMuEHvXkQcTLgXniiSeeePJQiueBHai0Wi2abMz3ENgG3C3zAaTqYFMGy7K01YYA\nSCKRsCwLNjs6ZeBs7FKhzcNCoVCpVGCA93o97XtBLMtCVE1UAAo/xxmQhIA3wG6TCEDhtKhHZkEx\nXYRKpcIelYlEAgfQVyuXy0tLS3Q0kWYQ1WFSVDRpMBigkWMmk2Hghe6XKFyltt9RA44pI6snIv1+\n//bt27hEKBQyTZNYcHzZbDa1g9vr9cj9gzulIWqIRiLjpaGJJ06cQPgOQEe4cclkElFKEYlGo4g9\nYl6/93u/JypJhooINHUk8z1E4+VI9IAu3jJu1Os2CIynsTGNDvbato2p1Wq1er1+//59EXn11VeL\nxSKKN1gbDqcZv/X7/clkEmdjqBxPDp5kIGARbzxy5Aifunq9/hd/8RfiIGmxnlNTUyziZtRaJ2v5\naIF7mkG8arVKPxLrr8luROTChQsajyoic3NztVpNM9cQMY+R+/1+nS2j++v3+3W+1oX+xTdwtkA9\nrJ9JGXdP9+264Mn/Kp4CO1DJ5XLc0DVCGn9FpQ6+B301vmfEplqtLi0tMQBISj1xgjbYyFgKhnej\n2+3ato2oIPLzOrInTgIfO4tGA+ugRyAQYLmVZVkatw1hXRr2aOZgSDnY7/f//d//XUS+9rWviYo3\nUrMSDoCoC2ZhOLyL2FXJD4lFIyIcq8SR27YNjQ54OsHQiUQCiwbSSE4NO1qpVGJfY9spYwgGg6PR\niIOxHeIPy7KYoqdGQbaSqBMujmVZWJ+tra1gMIjLra6ukpTv0qVLaPc1Pz//5S9/+fHHHxeR69ev\n8z5+9rOfxR66s7NjmiYVKk5lq2otLBRVFy0Jl4ri2urvsdvqdNGNGzfefvttcVgceVosY7PZ1HPn\nUrC0Ds2+obD1ackY+eMf//i1117DdBC6xC0uFotIp+FNga3W6/X0g8fIJJ+Bfr9vWRZsmqmpKaRy\nFxYW9Bzv37+P7w2HUwY8k8Sn8B1sNBpEc2jFSatOP3KT0UjUwMFgQuqO9pnhtNGhCrRVl3NPHlw8\nBXagovnfNH6POXPa1/p9YL8ubI6w5XkAXgy8fqjk5Z/wbuzt7Q2HQ2i4Tqdz/fp1uAipVAo7CzYF\n6qd4PE7iPhqVhsNMmkqlyAKsC8h4sKG6mumTU9ncv3//woULsPHJF4xzEs8WCASQ3yICTf+r/VRX\nIoHLi9QaAH7cGorFIhcKW3Cv11tfX0cPlFarRZAbvR8RWV9fp6OpkXvQasVikeSBqVSq1Wrhhyyz\nQzKGQESCTukvXrhwQRs0u7u7//mf/ymqJealS5fQaFHGN1Nxapjwc9olrI3TG/dgMODuT1SLS6u5\nkA7NZrNQKODZy2QydLBQ6sfDUNiLP0F505rp9/ukY4acPXsWS/f3f//3InL58uWNjQ1mFjkkbvcY\nGFQO2Jx5X4iV5byQD4Ypls1mkWbT3Xls2+52u1h51imn0+nRaIRfFYtF3t9cLscXQT7AFNCrR7XE\nzDERp51OhynVYDCoAwP8rEmqPHlA8XJgnnjiiSeePJTieWD/N+JCHtK4a7fbkwixRCJBRCLxXZlM\nRreU5Qfaj2x0S5S5iAwGg4WFBeaNNCECPkejUfK+cwCIm/FshiKL4iws1b1Ff4/DotEoU33Xr1+H\naSzKCsavYAUjsMOZItYEuDwJRyynp+0HrTC8HywR4eCDwQCGMBNdsViMLShbrRY5zglFu3PnjgZ8\nLi4uIrTYbDZxKowcyEPbthnf07EmkL3iAM6LjqxhGMViETmwQCBQKpVYckeCeU4Zt1gnTXEf6X6B\nV2kyojUZ9YUnpxGk+t6JyNGjR4PBICPS/X4f3r9pmrqzKLGjLndZnJgq+60YhoHWKn/5l3+JhOju\n7i7CjLhZqVTKFd8WFV7bl2jGFXyjH89eCj6fT7cymJqaYtKON8IwDKT6kDDmCXkHRSFyNbkMfE3c\ndw345J1i8Uk4HMZCuVoN8EKeB/YxxFNg/zeidYOO5OxLnU5chg6X6dwDu9O6UNH4MD093W63SVFf\nLpddEHME/blp6rpRfMjn8/r9HA6H2NxDoZDOk3EW8XicjOB6q8Ur+vLLL7darc997nOiCrdXVlZY\nTdXpdK5du6arsDkdallWMrkql5ntx2YBJcGg0yRKG2gOLM5oNCJeZnd3lypHRLC7pdPpra2tr3zl\nKyLy/e9/3+802zVNE7kohEkNh/TdcMjOtZ5IJpNYB6Y/0QUbn5EsxDjPnDmDPBAyVcRriLI89Lw0\nVgXfk6DPdYOo9lhiiFJCBELJdWlZFkmYyuUyM6nz8/O2Uyy8sLDgUlpafD4fESX9fv/NN9/8h3/4\nB1G1iYlEgnF1v9/f6XQQTlxcXES9IIwtzRMG+wYlxuJYKnw4GS2cmZlZWVnhTWF9OheBAKJutxsO\nh6mfeABfK1HUlzpbxpVn0FgUD+RwONRkYPZ4nzwRQXCb0/8Qa8yTDxIvhOiJJ5544slDKZ4HdqAS\nDod1/lbGLb52u61tNFjf1Wq12+0idNNsNgeDAWJQ2oeznZpNIvpE5MqVK+A9Qlkrje5KpUIXQXeN\ngkUMNiaXW0MXEGPI5/OTGAFxAAUw+Rl3osDLwSK8/fbbYLVYWVlhPS8BHbu7uxoxT4iaOA5WMBgk\nNiQUCjGUpzHNdAFJU6L/ypHXarXRaATjN5VKkZ6VfgyS9nCPwJsOdEk0GsVNiUQisViM4FLGG4fD\nIQ5IJBLhcBjTbzabXPZkMmk7BcjxeFzDU4F0iMfjLsi1KLJgGQ+jcWr1ej0Wi7nY2V22Px04+rLo\nFQ7SEwLu4bsQ/RgMBnGeWq2Gh9Dn821ubmJhAeVgcJiPUKfTARP/2traz372M84IHg8Kh+kZ2055\nQyqVogvuesxI+gwBTRTPEI1G4XiBsYyn1fEDRnH1IGVC9HVd9GbidNHke0f8i+bQYUCFsURR98JQ\nrGwy8TZ58iDiKbADlckm5Tr4o4Nmg8GAWDUE0HG8ZVnYUHQAvdvt4gzYtfE2zs7O8oSEjbXbbb/f\nj72SsX72vRRnQ6Fiw5+gAwynDQrfT0M1TQ+Hw6yP4Xag+bxjsRj3Tb/fj/zEysoKq39IZ14sFm3V\n608XKt2+fVtEzp07h2ulUqlOp8NiHYbv2Kl5MBhEIhHW/ZTLZbBREGiuAzvAyxEuqDcUKLBwOGya\nJrI40WgUwaJAINDtdie58AOBAPZiEDpouD/XH4NBYhJdiRuNxsmTJ5nswSAxQa4erQ3oKg6Vl2D3\nS6R/XIvDWwYNSu0OfKmeODQWknMgy2DHENxiPEK4xOrq6tNPP43IHuDsIlIoFN5//30okrfffhus\nWhgh5isqEI1IKc4G6KxMqF5OTed6dRFVMBhE1PHs2bPkmrIs69y5c+LQkumgpYwrp1wux/xoIpFg\n4F0mBJhMprsYqtVFDhw8DiCdmD4Pw/UeG/3HEE+BHaiAzFBUDgBbwGRTkm63i50UNhobHItTv8wd\nExsTcxJgMxJF/YfqWtIahUIhbIs8A/IQQCrjYGLNP8R3geh2U3AZTdNkQwpkdGTcPcI5kWFyERnj\nVydPnkRRFETXHuG3pmli8CjhIuesdk2wqV2+fDmTyRw5ckQcvABWj/ZBtVq1LAtpnmKxSJel3+/T\nlTRNkzSMzWYTn7PZLIAbb7311r4sdky3oAkL85fBYBDkVbqqqdPp4OBUKkWmx1QqhdGWy+V8Pq/B\nC2ROcuHgJxeKjEehUIgcvoSt00YB0oTZLDa5tiwLT93x48drtRruWq1WQz+Xo0eP0rnHTF0NehBU\nwGkLhcJbb71FzQpVhyo9w6nosm0bKhnAislV1bAjXpcVAqDRguPLpiqYF/zmTCaTSCRw6+lo6mtV\nq1U+h3TgXLARiMYHUSOK0qzAZGF5UQDgmhFMHJx20sPz5EHE0/meeOKJJ548lOKp/QMVhJtE1S26\n4gniWHOJRIKBONuhYQWxr/a9eAA+BINBRu20x1Or1RiGotnO88RiMdJ124rEPRAITMbZdLiGoRVA\nmRlWYnCSsTuA/hHAwZ/grg2HQ9jOoVBoMBiw/S5n1O/3idkTkaNHj+J7mM/hcDifz+OES0tLt2/f\nxmdSkp87d45hQ9u2V1dXNTGVOBY9Ru7z+VqtFi1omPAaxBiPx1mWm8/nyTai81JcPcaXLMsiEk9E\nVlZWcOZyucwzP/fcc/iAhiD4fjAYkHxL50dxl/W19NWZStTPQD6fTyaTmCZbM+uYlcs5wJojtwff\nMZvNxuNxdCvGqESkWq0uLi5yalevXkUOjE/1zMyMYRiIJZimqTOLOAAFABpJuC+eljFt1h7owZNK\nLZ1ORyIRNn113REuDl4xdnYlelMc1i56okxx6ZZGk/faUNXNfKRFvSDINZIKgPXRSD3iDB4b/ccQ\nT4EdqITD4UnuH1Hcawwf6dfAtm1s98FgcLLvuH79AIh3KRu8GNi8UGrjqjgxTROESTzD5P5oK6IN\nDtIYr5jR2wEknU7r3A/2NQBJECS8ePGi4fBdcWd57733RqORK6+uAzi8rm4gsrGxQZYmsGfhV6VS\nicyKlmUhgQ9WC44W+zJYf1xUUtPT09vb27prDGJcjUYD1PKDwYBN6CFcap2nwYXOnz/PvlzD4RDp\nJZwckTpgW1yCZBVzgQCeyPgmrtchFAqRiIRUXiQZcTGE2apzCleJQTOG0fL5/J07d6DM2HB5c3Oz\nWCwiAIsHA2k/9r5pNpvMD12+fJkLrtO6pCzBGFzlVpqhCn0VYIrxgdSNykQkm80iQuvKjUGgMBhG\nxpe2YsMRhcLQB7BtQqfTwXTAeqWzhjoQKhM6mLikXq/Ht5W0VbrJgycPLp4CO1Bhp0fdK5IGpt/v\n1xRHTPkGAgHUS2rtpVM+2o5jdyvbtrFx40siLGhORiIRjTfD9u0SUkZpb4//1ZyHhF1on5L5eeR4\nOOX5+XkXTA6NJTHl119/ncXF4gAotD6zHUJCLdhliG3hdrC3t6ddQ6ouHsb8U6fTKRQKhEVQR3If\njEajhMBcvXqVlHp6+7Msi1szMpehUIgJMDQDowcAPE6hUEDiUMZ9aGZW8A0dOzqFKGDCMXQXiO7D\n99CLuDuTMAEXmxSEKB4RyWazuNbc3Nzrr7+O03a7XYwWthGUFovDxGlrIg78BOs/Pz/fbDZd3MHJ\nZJKUgzLuytDTMpwqLqgB3Ho6NFAkWEnDME6cODHZMzYWi7GDWiwWwy02DIOt5oLBICnc+A5C64tj\nHTJ2widH20l+v99FQeCioYpGoxqGo+eI2zqJA/LkfxUvB+aJJ5544slDKZ4HdqCyvr4OXyoSiSDG\n0mq1GKnQIThWkPR6PRIRxWKxdDrNgiG6QZP9NUQxhQMyDvuu0+n4VGtK2M40aWWcCmQyYyEOPQGh\nzDoNxiBkNps1FHGGOCku/BfsqxgDU0qg6H7//fdFZG5urtfruWp0XCOZ7P6HRBcFR7755puAEYqI\naZqFQoEoPuL09K80Ozs+VCoVzhfZI0bV4E8vLCw8+eST+Fyv13d2dmhf8774/f4vf/nL+My84DPP\nPMMDiNtkM0lRaTaQ89K55ABImkx3VkQymYymVto3eTNZe2QYhqb65e3DjcPA8vk8mOl9Ph/SYIgb\nI5yYSqVM0wT78PT0NB+GjY0NXa3hqu4aDAaFQkFjC/ctbuMyMnzNA+D9MKbN2IY4LxTClTwbU628\nFvJqjMqy6rFSqZBWQ5xHhdV7ojij+TiJSCgUgu+F4hbyaxA2Sap+/b6zwbonH0k8BXagkkql+M4w\nZ6tzTpOkRyjaxaOPl4H9yLGjYRNhOIWngq4SJ46H6k7E2VjqRD7vaDSKnQ476Ye8S9hE2JSEdTAM\nXeZyOQamNIMfo4X4jO93d3cRiJuenm40Gig2QiN2HbibHAaKsRKJRCQSuXHjBhYnlUoxu4C8VDwe\n52RPnz6dzWaRe7Nte3NzU0QWFxe5/fV6PSrOSCSCXUZ3YcZaEQqBjTuZTN67dw9WBWm6IERaf+EL\nXwCyYGdnJxaLIXnm9/vZO1jG6fYhOpbI7sDiBGzxmXtxPB4n/5NeKPaE409c4Wseyc/UeXg8sCCz\ns7NPP/00Ym7dbhfXJZpDRGq1WigUunXrliisDborQLsPh8N0Os0yZIY6OQyAd7CShBrZtg0WK3FS\nqhi8tpw6nQ6MsEgkks1mWVVGHn2/3493R9f7i1LkhCBpQDzrnUURV+pYMW1Hn8/HrJ5hGDA3OSlx\n4plU4ThJMBgk2kiHbT15cPFCiJ544oknnjyU4nlgByr5fB5RO03jRIMX5Kr0PDS8CuYhuNI1nFqc\nelgahqFQCAYg/SScH2cYDoeNRoO2HjBv9Xpdc95wtLyWjj7hbMx48/t6vQ58HbuXiQirjMG7w9My\ngvTGG298+tOfxvd3794F6gEocwZnGNuhDQv2IFGAdRExTROsuCIC70rGMREicvPmTXxoNpvaveDB\nrVYLZysWixgGh4oxDAYDLFq1WoUzUSwWDadFNUB3hPDhV5///Ocfe+yx3/zmN5j7Y489hjUcDAaY\nhWEYjUaDBdSMKzIwBQ9boxt4X3CqZrOZzWaJMiAQLpvN0tiXCZicOO2bZTx25xKMASBG9rPGqeLx\neLPZ1FFZrEM8HmfgMRgMIrqLJ4FQT/o6hGjiX6xJJBLRZST4YJpmv9/HeTgL/Mti9kwmw/YF+IAw\noCbdd50Ws9NxTk1CD9HFCTqEiCgICUrwGYCRdrtNKgBxSLdd16XjNdkrwJMHEU+BHahohkA+uLbD\nfDEcDsPhMGJfbPpgGEahUAAyWER6vR72TfYMzGQyGtMVCATwMvO0QOtin0IxEPQEuY70G0UGChkn\nbRPVayMajSJ6ptMt7XYbyiOZTJI6RJy9QF8CygznvHLlyjPPPCMioVDoF7/4BS7darUI2aIa7nQ6\n6XSaGzFPePXqVSDisJXg30ajQZyevvpoNEICyZU4ZPBNV1BhnZeXl1utFkJnJ06cSCaTmGYkEgEb\nBa6Iu+YC9T377LMicvjw4ffeew+rh2oqXO7w4cMIwdm2HQ6HmfukeqBlAzIkRmUZDzQMg/kwlkYY\nhkG9RYGScNE9EHrH/06y9YujwOLxeKvVwta8s7ODDC4MBeiJ9fX1XC4H+OjNmzfPnDkjIuFwGAUS\notqQipMTFcc+wGh1cwPiyzXqtdFoMO3nSuPhy3w+r7mgoCNTqRRB+Ybi7+CvNCsbsmhMnmn7hhms\nyRvB3gj6SHT31vFhZA3YIlw3edG2oCcPLp4CO1DJZDLYFj+oWEREQG7LDQglwGSYFdXdSmcReBKm\n1uLxOFM7pmnyPTdN00WlI+PvKu16GVc8PAPsXHzJpsNTU1PgDh6NRvRjDIfND689fJp6vU5Ifbfb\nfeONN0Tk+PHjzz///Le//W1RuXEIce3JZHKyWVQymdQYa/hYtkMlpd2vXq+nW52B8pjT57XwudVq\nkQSIfXV19RJXrNFoPPvss8jDaU/it37rt1Dmpclnjx8/rstsyTism9NreI6mnYS14WpVjCXVkHGo\nAW1zuO4jBUpRp3ZYM04Qh89p9AwOaDJq4r7n8/nt7W0+yeDlknFOqW63e+nSJRF5+eWXbdW2eBKs\nYVmWfiahF2u1mk7+iWP5UcPBmoGbZRgGnW/DMPBANptNZjGRMOOyTJIc6srCD1o0ur+66Tb/pRrT\n+kn7wa1Wi0+RrTpxezmwjyFeDswTTzzxxJOHUjwP7EDFVpw0hkPTvi+5O3BlItJqtdD4TkQAR7Qd\nnifmgZaWlpB7gLmqrUIRCYVCzWYT3KmIesHORUksjiGxLHkiXEJb0lIt+ERlC9jSAkw8QHARkYzK\nVsyOHR0xyHfeeUdEVlZW0LEX3zOrxy/T6bT2Mzi7YDCI+F673S6Xy8T3YxG2traSySTTS+wbqa8V\nCoVg/LbbbXp+mUyGqxQIBOAW+/1+beAze5TJZMAF9bOf/cwwDPCsLy8vM2Ls9/vhhSQSCboOuIqI\nNJvNeDy+vb0tTiscEk9wsuVyGQNuNpuTJQQ6LAaeaDwb7JZCulsI/WOy8uu4HPM92o0rFApXr16l\n08+6gng8jkcLdwfo0K2tLYRPwVWBMxw6dGhtbc3lpmixLKvRaMCXYi5Qc6rhmWeyih/OnDmDQubh\ncMiYaiaToSPrymbti9TXxQ94SJje48LqX+FFwLOHCD+eajQ4dU0NIRAMQ3uZtm3jYLQxmlwTTz5c\nPAV2oKKzF/gGWzz/qx995qKJKff7/WxMTkY7VN7gbU+lUiyHYqIIkR9AmZF7cBXKoDGE61f8r0zE\nUmKxmK7NglCxIYuASKaLmwBaFhSLZGTgn3w+37Fjx3jYJBF+IBDA7kZCE9u2b926hWFg56K2g/JI\nJpOWZbEeTiay5YRBi6NOIAw6Yb8DLgZkE0xg4Iog3wNPkog8/fTTjz/+OA7AgszOzp4+fZoLDsi1\nqI2VqREcoDmWcIN0o2eoBIb4MB30PeFThLoIUa09MBiSreASqVRKYxO4eqxFwzk52lgshggtqyBy\nuVypVOLOm0qlsFCFQgHXCgQC58+fx87+P//zP+Ls8uTZQs4P4Pvl5WXbtrEaVCeJRCIajeJLNofT\nBxiG0e12NWsUA7mGYlnjA7Pv482bwhXQ0yTEQ/9Kr+RoNKrX62wC7mq8gFNps08Lbyt0vycfSTwF\ndqBy9+5dV1UTHnEgMgaDge5BPlkc1u12EdYXFWHf3NwMBoOsQdk3cB+LxYjfI+BNnG1ab2HYYbkF\nTCbqAoEAekO4LmErskQSOWr0BL4XZTvzYBG5du3a9PQ0i3z522w2C0VOijxRWIy1tbVOp6PZieDB\njEYjuEp+v581ws1mk3kv+ig4Ic4Gm33SEDYcKqPV1VVOnKlEn8/3ve99D5p1enr6zJkzGLDP58Nt\npfbCXQsEApr6D3NcW1sjno0DYMUrkCwaDsPdFiofYBC9cXOhNKAOl3DxEOJDo9GY3HZFPXvgcMLj\n12g0kNizLEvXn/GHhw4dQknfCdn/ZgAAIABJREFUoUOH2EknlUoRJOLz+fCEIKUHIwyWFv0bfSMI\nbhTnoaWTPT09TU5Cv98/MzOjQRbikPZibHj4XbdYKycEEuiAUsNpUIn+rfbG8M3a2hosoVAolEgk\nuCaAsOrlxcmxDngwxJOPKF4OzBNPPPHEk4dSPJ1/oDJJKgHLjoVBiURCszPIOFAqHA5XKhVY9OFw\nWGMFJ4m3ZbzbHozcl19+WbtT2hNiaJ6+1L7GJkJAbI2ocXeTDWfZUBGoM2ZxDIe4KBgMwqy+f/9+\nqVTSDYhxcKVSIetHt9tlwQ3yLltbW5xOp9PZ2toCvLvRaOBDNBptNBqwfC3LYj5Gd3Tc2dnBl91u\nlzOKRCKTviyRn6Jg67u7u6VS6Stf+YqIfO5zn9O4R7hlaLYCo561ZaKc7FAoNDU1defOHXEilq5m\nxOR3FoeamWlOxp0QReRQ4VMSsQ0gvuvBqNVqk962qGIAxNaYajp+/Dhm/dprr+FI0Edhaohd42y7\nu7s/+clPROTP/uzPLMv667/+axG5c+fO3NwcL4fju90uWWB0doreD1xSsiHzKa3X68g8JRKJ8+fP\n48uFhQWCDFutFg7g3cf6ayArMr69Xm9mZoatuid7aWrn0hWWsB3SKR7MQDTChoipRqNRTkGLvtC+\njDOefLh4Cuz/XliY5VedpbjdIAqEjTudTrNZlNYTOvjg9/uJs2f46P79+2RQRPGpiDC1hjeHkO4H\nGfNkaJFfjkajdDqta6jxodPpcI8D/7eInDlzBtGhd955Z2lpCdCPXq8H3ndRsJdut9vpdLDjlEol\nRAj1AEAZBcUmzk5n2zYTJ9FoFGcWkUwmA13yzjvv0EQ4fPgwMRqpVOr+/fv4FTELoM7C50gkgr0J\ngu0JRFPYws6ePYvtntEtcYqXEVpku2rAQNDfWSuSvb09li4UCgXusDofxpWv1WrQl5p1TFTLbFEx\nRs3Zj/1d755MjNm2TRqz4XA4GAwAZrl06dKrr74qIpr4UZdg7+3tIQdZr9fBQSUiu7u7XL1CoYAf\nQoFhibAarmoqrAAj5LzjyWQSlwsGgzQs9vb2tILBwcPhkOZIJBIhKVcgEOA6WJaFFdCVmvl8HpHS\ncDjMrK0ueGDAuVQqWZaFtN/c3ByQHaII4VDlzQIATEebKbZtewrsY4gXQvTEE0888eShFM8DO1A5\nefIkAFe04xDDcXEBuH4Fxm5xMt4E6dGQBERCRCzLarVarmCFYRjs50u2J30AEuYw54EN0TYmD4M/\nATvRlQbX4RTbttk7keL3+xOJBFFhS0tLGORwOHz99ddFJJPJzMzMMN6ocQR07HjRYDCIiWDi8L0W\nFhb6/T4ih6ZpYp3hv9K2BRYfn2EmT01N1et1fHn37l2Gc03ThFFv2/bRo0dhmMPAhx0NrnEMZmZm\nBjeoUqmUSqWLFy+KwkogdkpvoN/vu+4g10QclmeA7jTam+BSth4VFew1DEPzpotTPU26Fro+ovw2\nUKKgHWW32y2VSvBK9X0nDASAb2JzQMWCc8Lrxcrgvly8eBGxzenp6VKpREw/Z8En0D/ez1oHHjBO\ndAubBFCkUincoCNHjojyOPUxeGCAeMQl4H5NNn3mGGZnZ9m6gYsGnhS6U/qHuBwoaRj0JmeNz+eD\nO97v93mJ7e1tfAliewY8xZOPLp4CO1Ah35Ix3gFWaxR+D2hZNBpdWlrCxqGReAQio3oGLwC0AsFO\nOC3wYzhgYWFhY2ODKTdcCDQZYAlC/oMKSReTaZAbvkcPFHypdYNuaTGJWmbeC7NAAgOk75hmrVab\nrL/x+/29Xg/b4q1btxjHMxRDEjdxTdPgGgnDODxtJpPRdWkcG2vvLKeFCjdBHMAz//7v/z4n/sgj\nj2BLJdkEY7m8+mTnTwpu05UrV/BfIhhZMIQfTi7vvjA5kJPJ+K0kWxhQ+DqMOUn3J8ouGQwG7733\nHiaOgf36179mHBUPBvKgm5ubOC1i41D/pmmS+o9BNkyZl2D932g0IiRVU1pwPIlEArVfbFA5KbhW\np9NhyFpUiSGeKHGQq6jDy+fzuqwFLwUeSKIfcftgPPkcanzN94/Z6Q6xpAoTRRRZrVYJjyTZlScf\nSTwFdqDi8/lcfV0h2MvglrE8GcYsrG+8DCxMEZFKpYL3lpkAEcFe7KrT7Ha7Pp8PJnMoFOLGypcH\ng2GhGDP/hoNxt2272WwCBoKXE2+gfmlZKguUvEZ7i0g0GiUN64kTJ4hVKRaLL7zwgjgWN9pwZDKZ\nfD4/qUSDwSCZovANVBe2oUAg4HcaT/d6vX2zdEgguUZOFYhNBPsmefmOHz/OSjJx/Et8hqr7oz/6\nI3E8nmAwePbsWRbe8lp6GBxkOp3GkZqB8Oc//zlVQjAYhHNZLBYTiQRcNHEam+Ezsoa6ck6LtpPa\n7Tauq3M/hGC4nGYyKumiZnioItJqtUgySeSFNn3oT9y6deupp56CpsnlcuSaSiaTpLhk/CCfz7Mt\nlu20l3M9AyyN9/v9BHTQYNKQotnZ2clghr4v+XyeuBjbtrmkuoKF1Qg+n4+ljXy09MBEcZ5hcfCr\nyZtCjAy8z0myUE8eXLwcmCeeeOKJJw+leB7YgcrW1hZCOoPBAPY7guAw2XRiybbtEydOiMju7i7z\nLhsbG7lcjgB0JiQYPkokEqRvZ3Phzc3Nvb09ItR7vR45WxnjItgPTR8Q80H8BJeIRCKTVAK8Fuai\n41o4M4jAxUknYIJnz55tNpvf/e53RWR9fZ3+k23biDg9+eSTg8EAgbhXXnkFB2giqH6/DzicYRhs\njAKbnRBNghjpP8HrcoE8IRsbG+LY7LDECSoDCwNhY7qxJCzuXC537949fPnMM88w3YVFw01h40fb\ntmOxGMH0OnT5L//yL+LEPOkiwwNrNpvvv//+vXv3RCSdTpumCbYqsFRwFrgcUmtYE1DI42mJRCK6\nakKcCBtcasS4XKzqeCTw5e7uLgMAOzs7t2/f5vLKhDDnevPmTcbuTp8+zXY2tm3D49ftS3RckXF1\njTwU5anMzMwwpSqqsWcwGESoQPs09P5FZfVY44Ej4UP3er1EIoFbz/oKBBVcTw58cYJ79flxfxGH\nYESUjGWa/YTenmmammLKkwcUT4EdqACPKyLtdpsJqkqlMlkjMhgMsKui+Am/QryIbya2WmyOUB67\nu7u6wsnnNMKYmprC+3n79u3Z2dlr167JOO0hUQDNZjMUCuEzs9mu3I/+FTdNF+McwmKs3MIwcMW9\nvb3t7W2M8/bt2+y/vry8TG71RCKBLWk0Gq2trYmzjWLuuVyO19rd3cUuE4vFgODAwVR1pmniugCC\n70u0gYUFxp1YFcNh0tPMI9Quy8vLX/rSl/BlrVb7xCc+IQ5BIrcn9kLz+XzAL4CeA3sWUfI///nP\nRQQw+na7zfAmWzZHIhGqIjw5WJz5+XkEXTlUXJdpnvX1dcw3kUjozBknTh2ZSCRIGskHrFgsjkYj\nPIfvvvsuY8uNRoMJKrZKMAzDNE3cwV6vh+kMBoOFhYX19XWeFuaIZuiX8ToQ4v6ZGNN9EgjuAAmI\nOOgeNmpgoFU/jaTqEKWB6vU6QC6dTscFKsHw9HVF5Sxh3mnlp1Otrno7xof5VCCcLk7mDIpcg0Q8\neXDxFNiBCo2vSqVC0AT5SX1O50AcrOuCdQ8O9u5jayv+SZNCMS0MVUGyxBs3bpCgiHtENBrFXgk4\nIjcU4rh8qrWHqKIxmqUa+hEKhbChUHvNzs7y52jAcerUKRH5wQ9+gPcW5j++RJ0y9s1KpQINnc1m\nR6MRs+4YOcaMbejEiROlUolGruYbhL9Sr9dZJaaF5nOj0SDr8cLCAhpXisjOzg6alr3yyitcz0uX\nLmFx7ty5c/z4cYxBeyTUsqZpVqtVjOfIkSNch3A4DN0MV4w/zGQy7JWF+R45cgS9HMVxkaF1+v0+\n2rigKAr8ucePH2dCizkwLItLN9y5cyeRSOBOdbvdWCzG3BVmGgqFXnzxRT57tVoNa4JEKQfDSmdR\nagOZvOXlZdM0cXAmkwmFQiy0mtz64eiw3xB9dxoTGrAzHA51rSFmgfIyrcjFgZ9o6A3PRjXsU43c\nBoOBC6boyqVpaOLk8++il+QZNIgGHzBUdrPz0mAfQ7wcmCeeeOKJJw+leB7YQQt5tRHxR9CJvouO\nP+ie93ALotEouUplPKYHm9EVFeSfiJyOx+O5XM5V0RIKhRh00thfmopMG1BcQEeGQ8WhvsVIZmZm\naEezmkcUVeuhQ4eQ66pWq/V6nVg+cUx44trr9bphGAhMZTIZdEC2LCuXy+EMIrK5uYkKm1OnTiFj\ntLW1ZZomUmvFYhGIahEpFAqkESqXy2RAp4G/ubmJgCQ83V/84hdcrpMnT+IMWP+FhYWTJ0/Clsc0\nmU3EqRqNBiuoCGoXkRdffBFVAZFIJBAIEIlaKpWwDsxBYvyMEwaDQUSPbadQCWVGjM5NT08zRmc7\nBQ+6iSI+HDlyhFTIPp+Pj9OLL76ID/fv39eu//z8PIrGDMMA8RUeJD4nzL1xJaPRaCKRwM0KhUKV\nSsV2WjtOllXZDuu/jJOc6aeOHls6neaMdGUby0u0U6WBhfrRhQ+nuaOM/dicEcZk4pBoQ9fZXIFc\n/WogLIGlJp8ZMmS4791ud9/wgCcfLp4CO1DRmQN8QJRcP9CuAAjiKsRlkK2c2o6cSTJO2iZO3ghl\nXniRQqEQupnIeLDetm2oLkO1k6BgP9IhDr69+iTIhSC7zhbGCLgxTogjDcNAtPDrX/86EiS3bt0i\nkyFw1cim3LlzRwPisacvLy8jpYTWFVioO3fu9Ho96K3FxUWsEnqdYB0ajQbx/ZZlIa74P//zP7Va\nDddyRYrefvttrhJuXCQSiUajiNSJs1VBn+EMOodEEA2UB3j52u22aZo/+MEPcAbcu+3t7cFggDPg\n7rz00ksi8vnPfx5TgwLgymezWepLLAimAzVcqVRIEZlMJrH+6CHAakKtM/BhNBrdu3cPQemNjQ2M\nVhTmvtVq3bhxA9ddX18nnj6fzyOLg4VCUDSbzbLNWKVSgYKp1+vnz59/8803RemJ4XCYSCSws6NV\nMRFG7HTjQquvrKyIk7CUieITvgIkhwyFQlDwvClMMeqnF59RDYIxpFIpn9P2jGulu/fxX6Zs9Z9c\nNh8LAFys84xzelRSH0O8EKInnnjiiScPpXge2IFKMBhEEpsmsHaYNJG5KBCU3+/X3KwExDOmsbKy\ngiiTbdtTU1OoWaYzp/EOfr8/nU4zJKWjkTBRp6amDMOA8ctL6GiMSyZt+eFwqMM7usslncXRaIRB\n5nI5dLTKZDLXrl0Df+6VK1dM08QZ7t27B2/A7/efPn0aIcQbN26QgrbdbsMbSyaTDIKVy2Wi7yKR\nCE7V6XTYvKrRaMCtmZubcxn4FFwCZBYc+Sc/+UlMudfrkQSdAjyIdnxFJBaLZbNZfPnGG2+8/PLL\nbP1F2LrhsLMDL4dA6PXr122H7JxObS6XCwQCCKvm83n4zaiHxTQ1bwXxCPhAWl7ygZHSjFh5ESE1\nu4j87Gc/wwEApgJZ0+v16AGjvEEc6Dw+h8NhEvyjtAPPAPj+ZRyO0e126VDy+36/TzdIr3AwGETE\neHp6WgNVSHGiC43xE90NeTKKwCMJkmTsV1e7j0YjFnTrk9ADjsfjxNPqt5iE2q63m5emO+j1A/sY\n4i3ZgcrOzg62ISKz9faBuMq+Tzn2i9nZWSbPGAjq9XrsUIzeytB2bPEQj8f7/T6ue/fu3Z2dnUmU\nFF+ecrkcjUbJd4UvEZbRuoqBOHyDYWNGZ8+eDYVCUIHNZhObtW3biURCJzagbN59911mzizL+uUv\nfykijUYjEolg5zp9+jSuBaWInY5lRvgvtnsA56hxDYe2iuU+wK8jOVQulzGwRx55JJ1Og4S+3W5z\nZYiCw1BxtvPnzx8+fBg/JHRbxltskHyB21w0Go1EIrjuf//3f+uNFYSNlmWBTE9Eut0uqZVKpRJT\nUL1eD8jDVqtVLpc//elPy7gZZDu88s1mczgcAi44Go2wq+I87F+KkWNJGZ9sNBpomszmllCcfDBC\noRA0HHtCttvtbDbLXtKM+7XbbWj3tbU1MEjJBDwPlk21WqXKkXH6QTwhCJvzyUmn04S2shuyONbe\n8vIyHmBRgrujQequZBVG6JvoAN5oNHgqFoRo7WU4LKY+n69arbqMOUT+OWWi8MPhsOY+1avhyUcV\nT4EdqJBujgBcnQqG28ENnRnyUCjElsHpdJrvGLJHjz32mDivcbPZJJUU7Uc29hWRnZ0dGKT4r47j\n8xtWvOq8F1tFo3UFc3LYOICb566az+ex07EclfkMcQDQ0Bn3799///33xekUQ8P/kUcewTRZMDc/\nPz8zMwPmX+hpEZmZmWm1WnSVxIHUA7shTm0y/pRKpXZ3dzESUlUBGo7c297e3r179wgl5w1ih6fD\nhw9bTu/d5557Dl8irQIXDd2fmXrheSqVyl/91V+J489BmUWjUbg1yI4wq6TvCDytSCQyGo0wo52d\nnWQyiYrgI0eOEPDdarUwsEKhoHE6kzojkUig7g0kmVA/3/zmN/f29oAjsCyLcQL9qLTbbfZWxqlS\nqdSRI0dgP01PT3c6HdR+hMNhskcykGAYBrNKzFQRcwHRJhE8b+249Ho99CWRcZ5iHlCtVguFAmmu\naFVo9cBJEUnEfi54tMgEJk5NCy4xyfDLJQ0EApFIBEbD+vq6ZhnlqUzTZLcg1lfQBgJPt3jyEcXL\ngXniiSeeePJQiueBHaiQP5fhC23kAsvO/8L60ywAtVqNMHqfzwffS5SVjeJlDWsWkUAg0G634fEs\nLCxsb2/DZCZ3u05ywOClF8goJacQCASKxSKdEly6XC6fOHECBiZyMBgD4ftaLMuq1+uw8dfW1nDk\n/fv3ESLjMQyjYTCrq6s//elPYR1fuHABBrhlWbTEARHUSy2KU0pEUqkUGk7qWXc6nb29Pcw9Eonk\ncjlMDd0XxWli+dnPflZEEolEq9X65Cc/KQqZjcPIHsRlJ/P6zZs3f/SjH9HGZ1NN7Z24yMjhFZ06\nderrX/+6iLz22mtvvvkmnFpwMV+/fh2DBJgTeT4slGmaxIU3m00EnOPxeCaTwWnJV4KV/5u/+RsR\nuXfv3mAwICET4rfz8/NPPvkkGOh3dnY2NjYIF2QYYGdnh8jV27dvk+KL9BytVotY/3K5zKcXN465\nLhkn3eDC6iaivV7vxIkTgPLHYjFmzkQ9zDybKH9O1ybrcCU/M3Opi7JdyVGeTTM7cx36/T4yuMQT\ngj1Z9x+AkBdY3wUXJNKTBxRPgR2o9Ho9buiMe3S7XZ1N0ZknfLAdRoaVlRWCcUH4Jg50WL+rrsAg\nQPCkbopEImAHp9ozDCMWi02Wv1AXkkwBsri4iN9Wq1WGUJ599lnsHQsLC+wGwlcduW4ojzfeeGNq\nagoKrN/vYwvAsgCjgZ5YCCcyQNRoNBAyFdVPpN1udzodxHa0pmdJzZ07d+bn5xnzqdfrVGzc8nZ3\ndwG+9/v9oVCIqAGtenFwv9/3+/3Yo5vNJuuNYrGYTu8xcgVD4de//vVoNIJ239vb0zEx4tqHwyE+\nb2xs8GFotVpIkp07d+7ZZ5/94Q9/iNFaloVoFROio9GI0yFeHzcIfU9QrYG7EI1GcfuuX7/+ox/9\nCJspet67iqW++MUvrq+vP/HEEyLy1ltvvfPOO/grA49+v79arbKEgNSXTN3pLm4ojXCVSWl940rN\n6hgsHpLp6el8Ps9WcDig1WrNzc1hSRGI052OeS3eLA4pEAgwSkwdSctpUvZtWc7WReTUZ0pP91vB\nVdg4TU+Zus1TYB9DvBCiJ5544oknD6V4HtiBSi6XY68gfjkcDgEBAGgCJptm5iaMG2SmsNAB1ZOJ\n8lvGNHq9Hhl1fU5zS13UqV0uxlggtEw18ooYNl0rCqeqVqu99957X/ziF3HwzMwMoZLwHYF0YOU1\n6RZJ2RAKhSzLgmu4vr5OTBfQiThgZmYGxnU4HEYACnBE3RmSWXeev9PpoPQ1EAjcvn2btQdgEUTY\nEF8CFE6fAHMMhUKnTp1iVPaJJ54gRQg8P1j9IEtcX1+nR7i3t/fjH/8Y1y0UCqQ9JAQGjq84EG24\nUMePHzccPgsRuXTpEubbarU+85nPYILXrl3DvUulUrbDpN5sNuHkNRqNZDJpOc1O6QHwy9FohHgy\nWjjCLcOsNZGjiPzyl79cWVnB8j7zzDPvvfceUR6YAkDnxCURuknk4Wg0On/+PFbs7t27W1tbuHGa\nV5MPGDsqiGpZroN+ly5dymQy7HrK2zQajdjbYV9KXA3cIKhnMBiQuYb+k4az01ezVU9t+scQIq14\nywaDwSQMRCY8Qr2Mnnxs8RTYQYtOk4iDL8dnHXCg+P1+vh5g1EV0CIEsl2glxEhRMBi8f/8+tuBY\nLMZiqb29Pbz2+JeNLfhe6U7HSGbw5K430O/3r6+vY1t86aWXcrnc448/LiILCwvY8qrV6s7Ozm9+\n8xsR2drasiwLEUJDkXCj2aaINBqN4XAIhoutrS1eIhwOo2iMgwEXKj5jD6L64TpvbGygMY2ILC4u\nYuNrtVpQ/wsLC+LsMmzWjB9SL05PT2PNjx8/3m63ga9Lp9NYUgTQVldXRZUHiMhPfvIT4unD4TDu\nV6lUsiwLA47FYjggk8nU63VkUHTT7aNHj+K/tm03m03coEcffXR1dVWzP+O62WyWOz71kM/ngyVx\n/PhxcZB7lmUhrbW9vW2aJkKmnU5nMBggvSTOvvzjH//4j//4j8Hvvrm5efbs2atXr4riktcpRhIQ\nyzj3GMs5UqkUm/LEYjGsebfbJQAPL8UkxVQqlcL6IxKO9d/b2+MNYlYPao/M9GTQQOxXxinkeQnU\nw4kj1FWuoDpVFMG9BN/HYjGG7nlku93+oKigzp5ClpaWXAz9njyIeArsQGWyAEvG6yXZQUNnSgzV\nqX16ehonabfbmvkQoi1uW/UOnp6eRgsVEZmfn+dn2s66/oy5dOafAF/GX/Fakl6Il75//z6Y/ZaW\nlmZnZ3HA/Pw8HIu33nrr8uXL2CZu3brVaDQwIwLB8S9xHKTmY7VvLBZj0xkQYokIMNNQIYPBIJVK\n4RKdTocN4EejEeabTqeJbiC3E1fYtXrieAnPP/+8ODsOXEAmrqhNmfvBrMEURac2lUp1u13kLKvV\n6t27d7ldsjHYsWPHsC+DTgkX/epXv8ojY7EYViwWiz3++ONszsKewnouTOQEAgFcolQqwSCAPP30\n0yLyrW99KxAIMDFWr9dxCdQbiMjXvva1hYUF6OZ2u02fnm4K80Y8s6vu2LbtnZ0dkqKxGQofHheM\nXhwFRsq0wWCgm+M0Gg08tNrt3tnZgcsYiURoBWoIhlZFfAeTySTzcDwgGo0iGCAinU5He0i0jXAw\nC/7EAWfh+16vx/eCLqmMv9FadaEhjmVZsKU8+Uji5cA88cQTTzx5KMXzwA5UaMS5ElcUdt4jPbyI\nRKNRWMQ6xtjtdmGE6hphpm1EZDgcIsWyt7d3584dbZbCnmWaodvtssMWEjA0SDmGeDyOMYgT0dLD\nPnr0aD6fR1Aum80yi4PWlCKys7Pz2muvPfLIIyJy9+7dubk5GMKpVAqINcuy2OAR6EfmxuBDiLKj\nZ2dn4YJ0Oh2u5Pz8PO1lMnGATAE5mEajQR+O8SVUs5LvSt8aVCnMzc1du3YNBL74CTgmWHON77G8\nnU7nv/7rv/AlmwyISKFQwG9jsVgsFgP2PZ/Pw8sEgcXFixdxZKFQQBAMmS18yebX29vbpBZjbJlR\nVlyOxj56VuFP6IopDo5RnAQhzgA/Em7rwsLCpz71KXGyngghvv766yBqEkWToUN/IpLJZHDXGFvr\ndrv9fh8hXPACs+8w2bn2fRcIz0NtOGobgPZkC2mMHChTHfRjXIEhxHg8rnNRrtCFZk6p1+uaQY3H\n6EFi7vCuwK2VyWTIpVKv13FdV7bMcPqmBoNBTGc0Gp0+fRq9rb1ulh9PPAV2oLKwsIBEkQuqy9eD\nrEU6AEKKo16v1+12gXRgmAi7J14e6B6cgaVafr8/k8kgi9DtdvP5PCJF7C2iy6eM8XYS3AeDwSBA\n4a1Wq9PpIP6WzWYfffRRcbohMzpk2zbe1e985zu/+tWvRAT/YhaXLl0yTRN5i16vh/ccfFeIVgUC\nASqVdrvt2ghEpFarYfO6fPnyn/7pnwIE3+/319fXcfCdO3c07p+RLu7XGi8O9DwWRDMjYOMG8zrA\nFKurq91u19WuF7htLNSLL744yRuJqzPudO7cObbIIeekjBcSYDujjmw2m1xbbOjUfMzY+f1+Rk31\nGKACw+Hw+++/r9vZiMj58+cHgwHSWjMzMySrNAyDj0Sz2cSNaLVau7u77BSDlB4aCrOZDnsN8+n1\n+XzlchnpPVHVTqRiIaZGHEIyPUJc99ixY+w1w0QU2mO6fgXRzbt5XYw8FosRyt/pdEghr9Hz7Hsi\n43qLEBi+d71ej29ZrVbTFWaiEPb4kiRkTE6LyPb2Nh45fVFPHlw8BXagoqteIK53r91u2w47IjO9\nhEstLi4iRi8iunKLHgAyyewOjFh8MBjM5/N4V8vlcr/fhwIzxmlJdcpNF3jig23b2IYymcwzzzyD\nl+2RRx7hkfV6HWMAyPCFF14QkZdfflnztGLrP3fuHLqKiEilUsF2MzU1xa1hOBwmk0lkU1ZXV4Es\nQKN39EBpNpuY46OPPrq9vc3rDgYDOnYYlStbTsgc57uysnL37l0cBnwmDPw/+ZM/wWHRaPRTn/oU\nblw2m9ULwqWzbfs73/mOjJeO6b9So2iHiYiGYrEYDodR2nX16lVCTlhOZ9t2oVDAXgn7nblJeADR\naJQaTvsihtO2e2FhARk7CPCHmUyGfnOj0SAJmTjJyEgk8r3vfY+FeqZpQr8yxwObBjt1OBzudDqM\nBNAbRhoSn48ePYrKNo4fg9S9AAAgAElEQVQTOljXimmVBpmdndXdyfGZLdaQEN03vaSFzjdRuPpl\n7Ha7+C941HChQqGA1cNjo+8dZ01zU9TDpjsisbofZhlGAvuANZ2imoR58pHEy4F54oknnnjyUIrn\ngR2oEAyt7cTRaIRgUSwW0xYZjUqfzwerPBKJIJkhEzw32smA2cgmv61Wi6cib43+ic4B4E8uxLCI\nWJaFkJqojI44ODowoLOq6fr16++++66IpFIphE2KxWKhUGB9zFNPPXX58mUMkjkYDdMyTRNewtLS\nEqumGHsJBAKwf3O5HC3ixcXFc+fO/fM//7MoJxLYMHu8ea6e2traGq3+aDTa6XTg6KRSKRQA+P3+\nQ4cO0cnjCLW9/O1vfxuziMViXDpiu21HRPGk4GyAaLK2TxzIomuoIHdg4YEoB4WRUpaXaVDf3Nwc\nbpA29g8dOgQ3yO/33717l3lQrkmtViNnfzKZBF19q9WC+zUpLBbsdrusx9K3kg/Y8vIy7ns6nSYN\ntG4FqUN5OpyIFiqxWCwUCsFFTqVSwE/ath2JRPBoufoAUJg8hsPHyU5Wy/EbEWk2m0zyjUYjV2TS\nUG1cIPhTJpPREFAsDgIGpOrgQ6u7H3yQ7+jJh4inwA5UiB0gSRpyPyhO0o2LgsEgudtHoxE2U2wB\nWqmIChaJCGNoIsJ8TyAQaLVahELIeAcKUWWn4gAK8IJppLJt21Cix44dY4LKdupGq9VqpfL/2Xuz\nGDnO63r8VvW+r9Ozz3C4UyJpShatjXZsy3AWIAhgIHYQ+M0IguQ5zw6QBIERJA8JkAVOoiA2kMSA\nEciLtli2ZFGJLEuURJMS91k5a3dP7/tSv4fzr4M71SOZ0h8Yg0DdB6JZU8tXX1V9dzv33CKqi1Cb\nhaOI+xgMBsycv//++08++SSCgcPhEKGtq1evZrNZZFYQV2TXEtzv3NxcPp/HRiYexK6AFpHDhw9/\n+9vfZqsz/NXYy303+kSQPaKG8/l8X/7yl2VvCEvXOVCIsvnBD35gWRZWVaxTSFLyiqQo5EZEkEzT\nhN4KBoOWzWev51wUEIBwc2gyotixiNfrdaoo3LKjL5dpmjzq2rVrRPFw6Ud5r0amiEgqlYpGo7CH\n0DcZE5tKpciBqYFFWhNzjU4kEufPnxeRpaWlarUKnc14Gg4nYn5Ue4lqPI2qQdxFKpViTXSn09GA\nC2I38J60Wi326GKtIURHmB0zL3aWS+wQPTE++igOmPgUwzCAS0KDOs0aymoN3qN+P10qqY8hbgjR\nFVdcccWV+1JcD+ygRVM9iUi73dYOEMVBTw77PRKJMHdNAZZaG/s0fnHaWCxGGMjCwsL29jaCNhrH\nqAeQSqVwOb/fj3Q98tJ/8Ad/ICIXL14UFWME0ODatWs0ME3T3N3dpcMBmZ6e1hn+l1566YEHHhAR\nIgsQMiWYgs0P/X4/nDzgBTh7DFu99NJLn/70p0XkBz/4QbPZhA/X7XbJxfXhhi2GjZFnMpmxsTFE\nq1CULSLHjx8vFotIxYsiqTIMAwXL+Xz++PHjGB7Y8R2gdggM/G63SxgIo39wQbADTHK6Czxc3wVd\nZGsvfbths8KTCH9nZwdXOXv2rGZpwcZ2u81WqGg3CkdndXWVr5Pf70fxA8i3HBHUiYmJSqVCGiqf\nz4eHxVgrRgJwKfiCGb7GPDCoLnu9XlM1UE2n04wNejwe+HC9Xo/cMTrwzvcQqBNsB6W9Yxo1nIcn\ngbcNL01XMWs/Xrvj2r0mdAguuM/nQwMEnEozDPDWotEoIbJuT8uPIa4CO1AplUqIsTg+A4jeQgKe\nRCJBTBf6Q25tbYnI+Pi4Xub2TfMQbdVqtUjAoxkESOpBckJR4U3Zm1T46U9/KnbzX6DUmL1AHI9H\nkaeu0WggFQTEHTHfpVIJmm9zc5OZjG63a9mki7o1Ik7VbrfPnj2LQGi5XMaELC4uighaYrJZsCj2\nSOhCTVcxSrrBDsjj4+NomyIiqVSKlOrMamBsuIu//du/xTMKh8NE7aNdC5RrIBDglOoCAy6sTHtM\nTk5WKhXdpAMhPjZWxq1xDNSm1WoVsWUEIRl0JWVGuVxGJ+6lpaVoNAquB+YaLcuamZnBYJrN5r4x\nLm1JjI+PI8aI4BhGCN4vsVNKmAcdFms0GjCDut0u1ZKlSAsNmxhMv72cjYceeigWi+GxplKpSqVC\nxa/7RuJVRINTbNwX1If84qhNY1kWv6PhcIhs3+7u7miKi1kAmBok6qQqEts+gK2Dyen3+9FoFCpK\ns6vwtMZ+NHKu/FJxFdiBChYaURZZp9PZNzfD1YT4ArHtWWyJx+NcC/r9PkLtqBjjJ4FTaUyzHoOo\nZBhrwpLJJL0BftWwzaGWgsEgi9WCweDrr78uItFo1O/3G3afWSozYhb8fn8wGIR7lMlksK5hbFid\nw+HwlStXcBQLkkQkkUjgO282m6VSCQv6wsLCW2+9hb/u7OxA1f3mb/7mpUuXAB4B2kXslhmjSwO3\nZDIZ0zThQwAIjtsMBAIwqNHTmQeWy2UMeHl5Gcp1YWGBBj5seUya9ngIrfb7/T6fj0TDGCReBhyl\ns/1cqcG7aI70vPf5fFCWuq4c90tiXPgrhUIhmUxC67C6GZYKoR98T/hqsa+V2O3W4EuJjUp/9913\ndSMrwzBI1AkzC7XY0KzQXhjw5uYmjqpWqxq7pAUb19fXz5w5gxfDkaLjbqlUCs8CcQtdAsjz8BOg\nA8SsIZ8IxDTN0c4pfILaNWQJWiaTOXbsGAu/9O3gEWNIOO3c3BzsP0sB7mVv3bQr9yjulLniiiuu\nuHJfiuuBHaigWzF+wyRERIKNOfTO2pHCDto839raQlorFAr5fD5G85jRIeVup9OJRCIsTb1z5452\nzsQ2Ki27MUe320XcSexIDnMquIVwOExs1e/+7u+KSCQSef311+EHFAqF2dlZXQEqIpOTkwxn4YqI\nv3k8HhClr6ys0CCt1+s+nw9G6+zsLCttLctCU5L333+fs/eFL3wBUaN+vw/kvYygk3EXoEh3GPv1\nep3RqlOnTjH4mUqlEK508IDs7Oz86Z/+qYj4fD5wSo0+YmY3cQu06MVuncPCAHLjZjIZer3JZBJ3\nhN7KopiZ8LtcLjuCk6FQqF6v46673S7vqNfrsVx3MBjg9/z8PHxW9Ed2tEcQkUQigdPCRyGH/Whn\nkFQqVSgUGGcmOT3cLxHx+/2tVouFH6TSaLVaDJL3+33MA2oqMGmGYWDmQ6FQOp0mGlB7Rbgdv99f\nKBQIy6T7ZVkW3odjx46Vy2WE7xw0JY6QqdhfKA7UsVbupjmfwIqCh4L+yzLyFWNy8Gjw1XByZG8+\nTHuBrtyjuFN2oKJXT7zT7XZbcxZ0Oh1H21ZgNPABl8tl9L0Vhe0eBXkz9oiPDVFKLM1YApgsIexC\nr1/8RL1eL0J2Ho+nVqshaqQLhkTkpZdeEpFcLre7u0tEgNjRErYJbjabjkEiwwTEh4jcuXMnn88j\n9xCLxbgEX7t2DVm08fFxLuJcg7BwY+PS0tLMzAw411dXV3WtD/MQ4HrXt4lxnjt3TmwWBlzl8OHD\nTDV5vV4sweVy+Rvf+AZhCLgFduAVG47BnBDx3Ldv38athUIhqgFCMHSs2Ov1kuCx1WqNtupGiJJa\nh5xS8Xh8lGCFeASfz6fZofADJyHRe7lcxthAAC9700g7Ozs7OzsOwotcLlcul0nzyOXYsizMf7FY\nZOucUCjUaDSwiOdyOSowUYWJSIWK3WUNrxAnwVHsxUgg+6Hobl40XHZ2dvjmGHvZZ/jU0DNPRlSa\nRsmPHtjv93E5vKKO71HnjzXWwwGj59lofrly7+IqsAOVSqXCsDutznA4jPUC1h/XJqAbRBECAQeB\nxZRAL0cTEL3EMGtCIhyYw0zS4LqNRoM2vmVZ09PT8O0ikQg3MlEkIsvLyyhufffdd6GiyJgnIqZp\n0uC17G5nKIOlg5XJZLBu3r17FymlUCg0Pz9PRkfNOAe2JIwB+C50URGR27dvv/nmm7juwsLCgw8+\nCD2dy+WwWOTz+UKhAJVPo15PFACcbK1iWRaAkVNTU1wfxc4DvfDCC5ubm6B/nJmZoR2gMYSisKCk\n8srlcnxYmjSID4uVc1qZaRQi96T+w/xj5EhEjaLm0L8UQ8rn8xh5LpdjT076i6VSiQs0u9XgWGbO\nstksHlCxWITS2t7eZrHU2bNnr169qul0xS43xrQPBgO/3487vXPnDt7/3d1d+uWi2A4ZBuh0Ot1u\nF1ZOp9MJh8NsrKqr/TiBorQOyZ+Gdt9Uh4yWeTmET1BUozj9herBYwy6Hl/2uraOrqF4E3A7Gxsb\n+w7AlQ8XNwfmiiuuuOLKfSmuB/arETJFIdDEOIMGJsHrArAKhLbgUkIgZXJyUgOr8AOc1rR/YTsb\nhhEKhRAMNE2z1WrB+B2oNuoc2NGjRw3DYBYH1xoOh4FAAPRCvV6P+TZGCLXtj8QJznn69Gn8qVqt\nTk9P48DJycl0Og2/Kp/Pw7gWVdCjYzW0Z8Hrgyhlt9vlpQnPQ44Hbitx1Yh6wY5mJszxLA4dOoTE\nCWqSEE7knsDmIff2z//8z2BtFwWC73Q6oVBIe06OPvE6g8LSJRHx+XxwpgeDQTgcdsRmxQ5Iih1b\nY/d60zT5DnBnwzBwNs3GQqM+Fou12214Evl8HjG9SCRC931lZSWRSGgPUuwCA1TUIb+FP2UyGbCu\n6MTY5cuXcSP63tFHm+QXlUoF0bZoNIpZggfDyfF6vaBo4RweP36cXGhIWLKxJ6+iKyPhEONa+MHs\nF/bka0aIrAMNqOdf1zbgByMN4LXiPJPpxhEY5AjBe4Idjhw5gjkX+zWbn58nZ78r9y6uAjtQId9M\nOBzGqgrEM5MlooLmehnC73w+j+5HOJUmIOdvHsWwCWokcRQaHLMxBPbEV81TcbSlUoklL1RawAhg\nt6NHj0KjUAmJnYpHYITZmmQyGY1GsVptbW195zvfIZsRAdAEs2ASyKmPLZubm1RatVoNqRRoQQha\nRWPA6XQaCarr168zH4PqKCx81WoVq97k5CSxGKFQiJfgMgT999d//dcigjIANqMhRiMcDuOxjoJE\nRKTf77N6DMs9fpNaMBaLcYk3DIMPS98+AehEr4hqOQZWKsze1tYWi7d4BiyvSDsxjqfL43T3Mh6F\nLXxS3OLxeBhbm5qaAiohHA6PGgeGYfzv//4v5i0ej0ejUbYt1rSc5MMUkZs3b4rI3Nzc6dOnxa7a\nJs/W5OSkYTPx4xLIOeFZwNyh1cUxiA2RsGwR9aqDwmpU6ziKwJgbxoQcPnw4FAohQt7v99kGDFUi\nsjch59CFWlcZdvk5TExXPpK4IURXXHHFFVfuS3E9sAOVhYUFoAy2t7dhuwEmRzoZy2Yq0tBecqeO\nj49ns1kYvI7+T/TbfD4f0WhMxTOmB4p6mM8k40E0DGcAPasDZ4/zO9ihIBjn+fPnNzY2EJiyLGtm\nZgaQqpWVFXpgjD3m83mm3C3L0gUAuksvUcu0fNncslAogFQiEokQUweEApFg2BiLxQBY4Bl4Nrgy\njz76aCQSYYXsZz/7WXgDbMsrIl//+tcxSLa6FhXCQtCSDgpDi+FwmBz2fJoIxsIjoSCZr6H/oyg4\nDVgAWZSoONtgMFhfX6dHRX9Cx1cPHTpEXAw2plIpPtaxsTGfz4cbvHv3LvbEbBN+wlAeUaCWZTGo\n0O/3y+Uy6ZS0f6+R4pZNesKezg7vB2ObnZ2FCy4KzHLixIlwOOx4DxFbprtMnCHdcfQp1chMxhU4\nQv25aaSi3pMUYhgP4D+k5NY9yThjPG273fZ6vRpGy3vXSCtx5SOKq8AOVLj0kBRObGSa2J+fLhwR\nkUAggBiUiLRaLRaRUO05lgDDMHSLDbFja1iMKpUKCqpErfK7u7uBQACXADQR4R2/349LxOPxQqEw\ntNv4FgoFLOjNZhNxD8Mw+v0+LpHL5WZnZ69duyYKKlksFq9du4ZM3srKCkerkfdMd2EFgWbiWgkC\nEQQDZ2dnkZgBNzkGViqVECDFpEFJpFKpGzduEM+pkyXYiFWSDQaTySRSfRzhT37yk1gshsFoSHSj\n0WDrEK53Xq9X07EzOici6Bx/6tQpsYOQY2NjeATtdpv5GF2VNaq9xC450hMle5k4kINkhR82gsQE\nt2mpJiDZbBaPAGz3DMkSoqkryfRCj9U8n89zkKDA4BQxexcKhQDshLZjDslBRSgiR44c2draQtce\nRuf0IwMKkfBdbEQDVY6BHDf6CxKFAKRCHQ328iQcGM7sYCtF+FrT8xNz63hY/DAdvFbYf2xsrFQq\nYQdXe308cRXYgUqz2eQKBVs1Eomsra3pl14XvYpIpVLJZDL4NvhtywjSgUshSZjIDsVeySLi9XrT\n6TRSVkxxWZZ1+PBh7qMTUVR1s7OzSL9XKpVEIkHFo/HW0BmWZd28eZPDgPR6veFwiCXp2LFj9Xqd\n8HesL+VyWTP6sOKbt9lqtUKhEFNNvDrzH51OB7yR+BNWmccff/zOnTuYyXq9zr9OTU09+eSTYhNx\n4VpPPfUUuBNFmc/f+ta3qDCAL+cYMHu1Wi0Wi8Gx9vv97XYbl+ae3W43FApBdeknu7GxwRphUcuf\n9iG0yoSUy2XmRFmwJbZS5PuAJ2IYBgrYe73ezMwMXUOoXtM0l5aW8L5VKhU+906ng2zl7u6udk1Y\nL687eNEmc1hFPHB5eRlOcDqdXlpawtv7wAMPXL9+XexSKsw5oOTwhln4oaXb7ZJmzAF9wg7FYpEG\nHGjGxE4zYwc0paMXru8OA+t2u6SYolJBERgq7sfGxvCeDwYDXdRM4WCi0SgBNVq38fmCYpu1Ci6M\n/mOImwNzxRVXXHHlvhTXAztQsVS/SphmCNrQ+NJNSQjTCofDMNVXV1enpqZIg6ujN6QMZwiFRBtg\nQND23fr6uuxNToDnm4PED5/Ph1QTbFL00r18+XIikYD7mMvlWNkajUaR9wLQn7TxMK49Hs+ZM2dw\n2lgsNhwOGX9DbAe7wRtD40r4Ful0WiPUOTacH8BFREqz2SwN7WazCaL6eDz+pS996emnn5a9+OZ4\nPI5b0wK3AyPpdDp/+Zd/iVsjhwXmFidpNBpwLA4fPtztdjFysHLAC+FRuF89tywtwFGIvDnA93jE\nyFYahuHxePiAeJ5Go8H8UCwWYxCSJBeWZR06dAg3tbOzA48hmUxyHqrVKukhWKtuGAZ5W3S4kkxO\nTK0xukjBcxkOh7hWq9Wig1WtVkkkzU7Q+JPGEDIHhvcfh5AmQ7cT4l2QUDgQCPh8PkYj4ArDb8NE\nwekhAT+HzcCmDmz0ej29DzrsxONxpkLZ6ABRWXqf7N1K99Tn85HYpd1u43LNZtPj8SBk7fJIfTxx\nZ+1XI6ZpksdBxzHEjs/o6EQ6nWa0pFwuoz+TTqQzA2wo5nVNn+Pz+ZAmQUbNEZxBqoOfbigUQn4o\nk8kgXNNutzc3N0EA7/P5MpkMPtF0Oo0lrN/vs4mU2IVN2M51ORaLsR6rXq+j3Of27dsMQDGEmMlk\ndnZ2cAkyj4AxD+D4TqeDhRIqExvHxsYefPBBXOL9999/7733ROTs2bPBYBCAbMSsMEi2SsEiiNgs\nzAsM+JVXXgHRvkNSqRR2YMCt2Wym02mGTA27is6wiT92d3cJgieLhIhgBsRWHg4OC/0QLctC5BAb\ndf0froX+3dQuGoPDVRU1gqKWVxE5fvw4mtF0Oh2tjXAGQMNxCU01UqlUAARvt9ua1yqTyeA2B4MB\nKudM08xkMnilW61Wq9UixSXu4q233qLqhRrATDJcLCosyZdK9qaaxA4G6vsV+1mj+zM1BNlwLl++\njKZ0oIfXqgsDZmwZj/Lhhx/GXx0VBbhf4lNEqUPSSjELgJnEi4HO49ioiUVcuXdxFdiBSiKRgE3H\nKpZMJlMsFvlyk9WN0u/3L1++jJ6Ng8Egm83CEjdNkz1WxLbgHJxS+KqDwSCLWEOh0PLyMp08pnZ0\nVgOruag1Op/P/+xnP0PoH9fFh7e+vo7R4kJ6YFxY+YlubGzQjg4Ggw899JCILC0tsXkmc+bD4TAW\ni2kLXUTC4fChQ4dYR4U1Ih6PswzZMIxsNosy5KWlJahbv98/Pz/Po7hGPProo0R+DofDkydPYnun\n04HmQ+EXhZiIQCDASYYWhPur65TpOuilFpoVqBamWLhw048U5abrh+LA6WmmR7GBhXC80Mae0ACM\ndmpqijgR4gZFgd8qlQovQYsKpV2jK3uhUGCHFCYLQWrFW9ZtKum78IHG4/EbN26InXNiIxJR8E7e\ngmEYULowvzhLMiJay1K0asFV8A1euHAB8Y/V1VVCb9iUznGJhx9+mB8aJgH8YdrgYHCFW8jqqZE+\nhF/pL73f72tvz5V7FDcH5oorrrjiyn0prgd2oFKr1Rw0P7CaGZmpVCrE9Wl6bECz/H5/uVyGqdtu\ntxFVhwnsqEERFccQEdM0cdpgMJhIJBBOjMfjsCUty9rd3YWROzExwQ6EAArjEvF4nMbvyZMnESDS\n6G02IhmqjoKnT59eW1sTkXQ6XS6XcUdHjx5dXV2Fh8TAF4bHxiiWYvdhGI0xLtrLMzMz2WwWd1Gv\n1wuFAibKNE1EQQuFgsfjwVQgF0UMNGnsL1y4gB9IY/zZn/2Z46nV63Vk7M6fP0/4JXiYcC2mN4bD\nYSgUYvZLp77o/ZimCdObjiyui7vQtBeiIJo09sHexNSLThDCI9QPRVRX7lQqhd02NjbggT311FPF\nYvGVV17RD0L28qnrxJsoJ4k8WzpcyfyrZVmYZ+TAgHo9efIks2umaWIHTXuPrC34sVC8JTZmD7sl\nEgk6na1Wiz7NaPpQC3KfeHAgzsbg2YSFFSAO4Rvo8XhIga0rtwxFIswwBnnr8VZoiCbEsvu8IEbC\nq+g2K67co7gK7ECFX5r+7IfDITAaOzs7ujxZQ2/xgcViMcQDxU7Li0i73Z6cnNTBw9HUutfrxUK2\nsrISj8cRzGk0GjyK3yE4llgni+taluX3+xFvicViN27cICkRcSKJRAJLEvJwiDeWSiXqYzLpIZ2D\nqZicnGR8bzAYYKXzer2hUIhjcxAvYdIQ50QpLvMuzzzzDPTW0tISlgO0cWGdciwW+9KXviS2psRc\nJRIJ7ByNRv/wD/+QGR1dhoUlr9PpBAIB3bBDRFDkhHlIJpP7hraIsmFWX+zyL1GIHoxwfX2dAWGa\nBdRVLI/DdsweVCZVlx45frfb7fHxcezcaDQQv93e3rYsC48YSAeOlqVUsViMPVZ45jt37nBd9nq9\nqK8QFawb2m2ph8Nhs9nEys54tYgEg8GFhQW8DExcYQf2TGGU0uPx4LFSe8neOGGv18POqNPn7esy\nfCRNeU5RHZnRlppcU2JrHVb6j4+Pa9pDw2a89Hg8OCFOzuIEGnCxWIy9dWhQGoYBZE2pVGo2m7BH\n6/U649iu3Lu4IURXXHHFFVfuS3E9sAOV6elpQNgpsKyB+QZkC84NEbpwLxDzWV1dTafTMLdJBI5A\nhA4lEQoBmxrsvQ7yIVEYgVgsZpomuxkxb9/v94GwGAwG77//PpF7uhUhZHd31+/30xMiIz579KVS\nqVKphEtEo1H2qcrlcgBNlEolIgtwOw5eg1KplM1mcdqxsTGNqgcQeW1tLZfL4QbffPNNGMWWZa2v\nrwMfXygUzp8/j3kol8vwPEzTvHHjBm5zaWmpWq0yfEdUumVZgKthGh1VxsCyMwg2Pj6Ou2beHqW1\nuESn06HbSogmA7wiAveLl9bs9RBgEHBmB/jbwUAhIpVKBcTnlmWtra3B0UcgDqfd3t7GU2PRhX61\nEB7QWAM4ecRoIByH5nCZTIYRRcMwGAYwTRPvPKt38T7Ah758+bKoQCJiDGK/8GJ7daNISAYVgLrk\nR8FvoVqt8o2liyZ7S4bpR969excvJ0D/lt20j43ieGv01fRDYRsz2cvxxn2q1Spp8olInJqaotOc\nTCYdbB2u3Iu4CuxAZXt720E0DhI8fK6tVqter/Pz0PUu0BnAuxPohe85l8sxSYBDGCHhWka9BSYe\nkmFbNlU5C3RkL7YNP9bW1nTnjm63i9WHGGtUCyHN4PF4MpkM1uuNjQ1NHEcSoBMnTgC9LXYI7tKl\nS9QN6MZL/c0Fq9PpgC0+GAxy8XrqqacuXrwoIpVKpdlsYt3MZrNcasVe07/yla8gyCkKKob8HwZZ\nq9VyuRzUT6fT4YISiUQY/iLPFmcV9QyIGg0Ggzt37rCAD5fDyTUaTS/lsncp1Ozsg8FgFJANkkYu\npjr3yfwZt2sAnmEYKFxjXxtAPR0FdqL04nA41BWE6+vrV65cEWVVGIquXufD2Dcc4WK8vWBCwcvp\n9/tpYfCKhmGcPn0aJ2FbgEOHDhWLRR0hx5Pl08EtUIVbloWAMI0kCJVfMBhElBLkjfhrNBplUYqe\nClIdtlotDJiaHgPAl6u7ohuGAUMBsE8SWZFyE8SJYtsBOI/LxPHxxFVgByp6qWKuhdoFnx9eaKb6\ndQ4MNh2+GdaBhUKhdrs9ugx5vV5+wEwsh8PhO3fucPnDX1FRi6WfLYtEmZDMGIldxYK0x/b2NhPX\n3KHX6yUSCRaTYgyf+MQnLl++jDHMz8/3ej1Aq7kMTU5Oot80J4eoByw9hUKBaTC/3//qq6+KyOzs\nLJMTtVptY2MDijMcDmNtymazhmEcPnxYRI4cOeLxeGCV93o92OxLS0tYIkVkcXER/cMw4TTPDbtD\nx/Hjxzc3N+n4QmnV6/VQKMRlSGwDgk8WOpjZRHaQ4e3rzstiK3vZC8Ppdrsan03NAe8Hjbaxwmpo\nANdlppSwEWfGzWqnXPMeiUg+nychWbfb3dnZIQUlzhYIBKLRqAa+Q5lpjkSedmNjY35+XiMjcIZ8\nPs85D4VCjzzyiJ4NPBqtwFiSzOka7m1KjumlsTIcDguFAqk+LZu/OJFIsI0L/cWhaohDx1rnX6lm\n8GLo5tqE0VMf0/nfM0YAACAASURBVBuDlUmmY5KHMdCiz+zKvYubA3PFFVdcceW+FNcDO1BxYNvw\nw+/3E1rGoJ9pmjAPgUhG8OEzn/mM3++H7UkrHsEHBkBKpZIjUAYqerChi803r3fo9XqMYCAYwkE6\nGk9gy5kzZxh7hDGLclTcxZkzZ3w+H6JV4+PjuNbOzk48HocVvLGxQdCjiHz2s58VkX//939nOAv3\nTvYspLgAh3vnnXdEQfLK5XKlUoHnEY1G2VNYVAzKsqwvfvGL+M2kCNNO8/Pz7Xb7jTfewLVGQW7t\ndjsQCGD+t7e3Q6EQfDvUsYqNANTNIR2YbLRspsNNxvoPAn+PgkjBn8R+ifRvOp2ObkxDl51cD91u\nF6MNBoPVahVDLRQKcAXQbQBzgkl2XDocDtMj6Xa7P//5z027mSp2wMzjuggbMiqAfVCGjHcP6VXc\nBT3dQqHA2GMsFpudncUZtra2MEjDMDKZjE7sjVb6O9g3mEHkRl3YYFkW6Zh1zJOn1V8oQuXw8Fir\nzh0ikYiudXF8Nchl4s3ZlykKs+EIh7jykcRVYAcqfF8d4QIyODDCzrQWFmLQR+kSK8uygC1GCIWf\naygU0r1uxSbIoMRiMWxByk1EEH0iKY5h81Hxk56cnCwWi2whvbS0hMWFgPtYLMa8msfjYQuuaDSK\n31tbW9FolEmamZkZhPWazSbUHmuqRGRubo5U34StI7fhmLfz58+fO3fuP/7jP0SkWCwGAgGmmjA5\nuFO0cUGRFnUkztDpdJ577jnEqba3t4d2G2vKcDikboZWgM5mG2WfzxePxzWlkz5WbIsB29G1xFEL\nCL4MIj50hol9bUQxmuvyL/yp2+2WSqXnn38eD2t6ehpLNltqITyLQV6+fBl8JYFAYGNjA6ULRL3r\ne282m6Zpst322NgYq7iYwaXV1Ww2DcMgWxhD1rdu3TJsLpJUKoWpBlO7iKRSKbbJDgaDExMTGEM8\nHidVioNeC5AcJuc0X4nYFZM4G0sX2AgGIx8N1jE5pwFE4+PjrHMQ9Tlw8nU+m+dk3lH3zhaR7e1t\n0m/q/gOjZ3Dl3sVVYAct9F34pRmGAZ+pVquBXE5sDl/s4PV6UYPV6/VYM8tWWx6Pp91u64QNi0mx\nJ3iksPhWq1Xmwwy7gSQE31uv1yMSkt/elStX2FILqyo+5sFgsLKyIiKFQiGZTIJycDgc1ut13AXX\no8FgQO8nEAg0Gg1k0ZiQm56eJsErnRURmZ2d/cUvfiEirVYrkUiwHBt6/ciRIy+++CL217qHufFY\nLJZIJKByNHkxmzfeuXPnW9/6FpmKePVAIEDghqM4D25HKpViGSzpB7FwY91kKguoTsIU2+02HB2A\nP3Fmcj7phYwLt+Ox5nI5ZBApfr8/Ho8fP35cbCom5uRYUkbSQsuymHWjr8ahimp/FQgEoBpF5OrV\nq4Zh4PUjwTGcdaocUTAi+u7s7FUsFjudjqYnFlu7Y4cnnniiXq/jN7UIbALMGNUMbhPaHfXgvBx9\nd1EqhxllPgjZa0RadiNZnXimJBIJUky1221Wc9dqNcxkOBwOBAKj2SztLE5MTDiAtTrU4Wiq6co9\nipsDc8UVV1xx5b4U1wM7UHn44YeRxaEdBwp2gv3YBFmH9XO5HItjIpEIPAAKQigs+aJNxxA/WKDg\n8TSbzUgkglAew+5kMcB/yWJFmZiY0IGaXq+HwKDX64VpXK1W0+k0/MiVlRXm4dgfUgu6pXziE5/A\nzgDoZzIZFMOJCJhtMYavfe1rf/M3fyM2bQTDiYhArq+vF4tF9GwcGxvTGE7auSdPnrx06ZKIJBKJ\nbDaLeUDSTkS++93vEhuGtBazRxzwcDgkSxPB8Tp85PF4mPfq9XoMx7GegT0HGo0G0WgcISD7PKEO\nVWln2rLZjYvFIsbTarUwzl6vFwwGwe8gKpXFkjJEpHHv8/PzcIPIR8XbZGsVhr8YJRaVZmNKSQ8v\nHA6zQJChY1YHisitW7c+/elPw3VuNpsY+ZEjR7a3t9k+mz2dOTlswSx2mRcGz9OChYu5qEajQQ8M\nP+A8AVtP0hAIvxomhuFl8qXFTGqQLR8TAv44Su8gdmoQx46y/WrhR6rr8Fy5d3EV2IEKVkBRjGpr\na2tIA8hepcXwAouQxC7LJZsfdvD7/X6//9133xWR48ePU2cAlCwioVCoXq/j5LOzsy+//DLOxiiN\nTtK0Wi1mOPr9/s2bN8VuEUK8AOvDCoUC9jx06NDJkydBbZXP571eLwOk7AemS2LL5fKtW7dEJBwO\nY6WbnZ29dOkSloN2uz0YDNC9otFoIGHzP//zP4bi18etLS8vh0IhrIlYArD9U5/6FAELYqvqRqPR\n7/ehLy3L+ou/+AuxmzxBksmkbsLLigL2JKN2xBmoh5isQviL4Tisa+12G7XbYocxmTzjpXXiRC9k\nGh1A6stSqYSzoVGL2KqO7w87kOksC+eEMWSdrdQ5SM4YdmMZMsOb3W6XPVkYjex2u7FYDI+bFWy9\nXo+0h/F4nLdManytUdrtdigUctQYOBJgotJ1GHO1WtUgplwuR0ANARSVSgVnazQaLMNiRrler1uq\nHq5YLGLnxx57jAbT1NQU8n/NZhP3jiZw+6IzkDWEFaUfkM6o8dYwOUw0uvKRxA0huuKKK664cl+K\n64EdqKyursIyBceBqPSy7DU2aTvT7haRTCZDGD1TvggbwrHodrupVAp/oqGHKBAsQRi5GEM4HDZs\nKl6xI1eABTJKCSqdQqGAZtBid9fUOCsROXPmzO7uLjo8AeyH7eFwGH5MIBDY3t6Gcc38v4hEo1GY\nyYZhTE9PE+jIyt9+vw9swiuvvML5yeVyoIQQkWAwCIBJMBhEezARefjhh7Hzyy+/TN8xHA6nUikg\nwf7hH/6Bg2HADYwPxEDzWbTbbUxIOp3u9XqMLpJPgXsiQgsHi4jTdDqtI4RsKKrxGuSNZdRR9lbv\nRqNRPnE2ONXkW+FwGGfAGAjOxsZsNptOp0khzzCdz+fT4S8COjCAfD6fz+dxv7VajcUA5LBIJBLD\n4VB3yHQ0m+73+8lkkt3jKpUKwnqsJUB/NWxET23DpkXmzTLeiOIHvgbwWvTcOmYPvhooidnczlKM\nwJBRIDvjvTgDOJpxm8FgkHh6sgpoT1dXVRMvo+uj4ZVyB0f3AFc+krgK7EClVCqRogJbCDWUvVVi\nlmVBdTlalff7fYb4KYPBgIEXfpyMSuEM0A2WZS0sLFy7dk3UAop+svzCObwTJ05g4X799dfZQaPZ\nbBIA2e12n3jiCRzS6/WwoDCOJ6poRqPDsQV6SwOxAEQUuwEuOrawy9/4+HilUoESbbfbUP+JRGJi\nYgIJoSNHjgwGg2PHjmF/XbGEIgTLsk6dOvXiiy+KyJUrV8iagY69InLq1Knl5WVmhrCiRaPRYDBI\nbiex1ztWkmk4db/fR8MUUeaIDhUS2I3JgWZFkx22J9UoeYYrmVqzVKOZfTOm0E9Q6pFIhN1JeFqw\nl4kNQ6VlwzRnv9/Hutzr9RYXF0nRYtmU6hyAYRgseIhEIkzBUhkgv4v/4l9MGiGR5XIZBXyYnNnZ\nWbxFjGkvLS1RHw8GA0Yse70ejQyG9RyPg1vEBknq2i8OCeYd3jRgGoHU10UvBPpqVcTmA6NKkZfe\ndzvuAm8ac29aC7pyj+IqsAMVLjSOnC0+RQ3HEKXbLMuCJ1QulycnJx1ZbpQWYSMqeZnPIB49GAzC\nZK7Vardu3eKqx+XG0Xj3xIkT+AEI9c7ODq+LYlUM+MKFC9BDpVLp/fff55DIe8TVHAsW1muMEF/v\n/Pz81atXReTxxx8nWZxll5qK6sU1MzPDRarZbLJy7vjx41j+ZmdnQ6EQtcV3vvMdsRUnFPbv/d7v\n9Xq9p59+mmfG7bBDzd27dz0eDxdTrSfwLFCQoGvIxEaE03chjF5UkxqKAyWPMThWVT4L3ZerXq9j\npdM1Yaym0qtkLBbjddkBHNel6sUsVatVTUkstmYi3TDwEXTRtHVF5IsofUzeL5ZdW5ZVqVTocy8v\nLzNhCeZMoGZw3VAoVCqVyL/FQIK+Ox2l4J601fDOO8pIcBSua1nW5uYmbxNnaLVa1LhwqvBflqCB\nQJlmGaex2WzCytTNlB2qCEcFAgE2Xmd9BWpmdBsXVz6quDkwV1xxxRVX7ktxPbBfjbCQk0Be/Sf8\nAE+r3+9PJpNglHjwwQd15SN4bkql0ubmpmaLZ1xe+2qwOmH0sRHzKJVALBYjIRAjQqAkYGwtEAgA\nxb66ukpSecuyEMpD4AV2JYM8jAiJHW+BWb25uQlbPhAI+Hw++FiaO7hYLCKmtLS0FAwGSWoM4PVX\nv/rVbrfLMzCk5qBpRzxtMBh84xvf4ITDC/F6vfF4HN4AQnnIojEzoRmSIpGIJlti0Sv9GDZZFpFu\ntzsa7BWVgtK5KLH9OWQNHWEly7Jo/tfrddLF8rHCV8OUwv1CUTmocsVOjPFsRNy1222d0XE49xcv\nXmQBr75cIBDANCKQwIAk43s+nw+Qev16wwVE5Pbu3bvEyooInma32z137tydO3dEpFKpkD+eMU8M\nUj9ZsX3lUc4zHZ0mOl9U/JO5Z/314aJ4o8LhMF5py2776TiD2G+4rhPf3d3VsRMMrFgscuRMCjBF\nh5HfvXsXvW9cuXdxFdiBSiwWo/IgZFx3+NWLBaNhZMFYX19PpVKsQ4JWC4fD1F66IEnsLxPVQtBq\n2WwWUUERqdVqlk2pRxA2yA4cvHBAxnNU6XQa6/jVq1exkgJorsM7VKL4qmu1WjAYRKXX0aNHb968\niTH7/X7A5UWk2Wxi4dD8Bb1eD/osEAgwkW5ZFnoKoxZHM+gje/FP//RPLFcQEWj6p59++p133tG0\nGiJSr9cZIsNQWRXHZ3Hr1i3cGmDiLDmi8vB4PJptz7AZEXV1BONsjUaDz4ixLH2//O3Iohl2h5RR\nnD1+IJDl9/unp6cxvVtbWwidMZcj6jWr1WoMOOsYcq1Wg9o7evQoArwUR7wLioGUm/wTGA7FTowx\nBpjP5x999FERmZqawtvr9Xqnp6ctm4EF2ksUwkh3BaKulRHOLZpchs0voysXB4MBJiccDussGnvu\n8I7wRkHLxuNxlm048moUGlu8R0dWW/fc4fw76sZEZGdn54Mu4cqHiKvADlTy+TxXOn602jvRSAd8\ncqlUqlwuo+xXFLudph9lKTRZSkWx47C5A3YOhUI4sN1uayADdgDIisltHFIsFoFlEJGjR4/6fD4k\nq+jodDqdmZkZpNkGgwETRVRghmFkMpnr16+LyMrKSqVSwZf/+c9//s033xS79nNubg5XfPDBB3/4\nwx/iN0ZrmubU1BTGMDMzw8yNoxMgUlzULoPB4Mtf/vJLL70kIqAKxIHT09MogdLuaaFQgOMie215\nLqCFQmF6epoAFjo02uzgsxBV35pMJnWCk3Oi12guwayRIkRtYmKCy2KlUjl58iQcX12HZBgG3IXp\n6WmoSTxNFPCKbQFgVJqsi+RPzWYTwwsEAjj/2toa5x+dHvW08HZw3UqlwvvV7eW05+3z+VD/Nz4+\njhEWi8VIJIIUL9u86fkHLlGn3wio0f46vyadgySIiXXrWnOg5JG7acsPs1ooFGAP0bPXY+PJZW+A\nQQM3DMMgqbF+S3l3/IKSyaSDpNiVexFX57viiiuuuHJfiuuBHahsbGwgtqPjKlqIodLtmDudDszV\nTCZD/tBkMqnPQNiedgh0qgMW6OrqajQaBbUS+/WJzTUgttcF7ySdTiOUFI1GaX2DJgO+FFon4wyk\nEmCRk+PWgHkTkWazSSbW27dv60QRoqPNZjOfz8M7pMkcCAQikQhaCzK+Nz09zfCOZVk3b97E/iwn\nikQiOzs7//Vf/yV7DWfQN/C6GAPcL23si80UBY8TNWTczggha4N0pIghRFxuXyebpxoMBshddbtd\nVDWIysOBgpmpmtu3b+M3yrCwMRwOk47WUG0qmdaanZ3FXWxsbAA7t7i4aJomXDTUEsALuXjxombi\nIOuunjF4Pzroqn2UcDjMCJ7H48GNWJZVLBYff/xx7iN2MhLPfZR0Q/YGP0XF3zSxi55J7a7pu8AZ\n0J+TW3hytmbu9/uzs7P4mo4cOcKPkTF/y2ZztuyiAlEJZlFxi0ajQbocUZQ67Cmju7TI3loIV+5R\nXAV2oDI2NkaUAds3EEZs2SIq0441kdW1/Px0NhsqSuxeKkwOgyQQ4Sl8bGjT7GgBjFpgKJ6NjQ2G\nO/hpDYdDBmGOHj26vLyslQGEKyxh6CLi9/sRMqU6wc6maaI2i0eB5wkLKNYLrCmhUAhneOKJJwaD\nAYqaH3nkEVSJiVKinU6H1c0sbj1+/Pi3v/1tremxVuZyORD8O/JeyWSS9HdcKEUEiToHQprJsOFw\niKPa7TazLHpB1yaFDvrxseq2XoPBAKs/ny97lMjeBb3VahHdQIwGuoUhw5RKpZio29rawpSWSiVS\nwi8uLmI8rVYrHA5vbm7iLjA5GJvOwFFwv0AYYQe0lCN6XisJ3N1wOORpRQTZNYDvgfiAYuCscpZk\nr+gO5tyHX00kEsEYyFKG9wrPsdVq8VmEQiHWGCQSCWSaG41Gq9WCei6VSniZw+Gwg//J8TIYihCA\nWg0noQXGqjJ+uTA1PuROXfml4oYQXXHFFVdcuS/F9cAOVOLxOEJtlirdJ5waov0qEWk0GsFgEEEY\nNBiEm1Iul4lO5OHMGOO/rLJEs0ER8fl829vbNMCRox4bGwuFQpprB7btsWPHAHwQ274WkZ///Odz\nc3OaXUJGjEc6GXNzc3AFNDZBt1wiInx7e3tqakoHkQBn73a7hCl6PJ5PfvKTGCFiiRMTE6VSCSTC\nzz77LFHagUAAodpSqfTee+/hcAQbWdBKSn5axIjW8rf22zDIVqvFrmPwSh3PFy4yD2FrLks1CZMR\nsVRdMDxg/Sf8IK07nBty5uKvpmnevXsX+IjZ2VnTNOGmBINBINRBKAyHYzgcwpkrFAqMBGCo+H3l\nyhU+0EajoWF1RHzgv4PBYGdnByAOAFlZ0ksUKH13HSk9dOgQ6KdRSM4SdX1m3COizYw67Bt4155Q\nq9XCV8A3VpdCRyIRzW0PnwnvANzTdrut/Tk2FNWBZb4hgUAATp5uEBEIBFj2znJ4QK70nGBncOvw\nuqO35sqHi6vADlTI0S7qq6vX6+zTOJo60lTxILPH6kPtNSqM3uC0WFPwO5VKadYA6MXx8fFmswl4\nfTgcRhpAVBuR9fV1ctBtb29vbm5CiWrYWCAQ0EF8UDr5/X58236//86dO0iz5fP5er2ODs7ZbBZr\nN75wNj5ut9tYeQOBAHaACuQNsj9ns9n83ve+x+ticubn5zFa4Ok1wAzVdZFIBPerO8toTj+Uf4nd\nAAWTdujQIbI2MMaYyWRI2YCzoZoHzIp4vqAEFBGoFgbliOJjqROgoVhMs9msZVM2oJ2xiFy9enVh\nYYHBKAxmMBjcvHkTSr1er3P1tywLsdZ4PL64uAhjgh0msRZT4w4GA4APTdME/hBPX0PnHVBvXJ19\nvZm0C4fDbG6gk7JHjhyBlmVr1mAwCCsKz45oTNM0dTUVN452J9GfjDYpLEV6wh+a0VFUgRrZSXCz\nGFK320W9oyiySm1fkgAM6Eecod/vs1iQfGNA5zuQmehfw6Crq8A+hrgK7EBFY9+12ejIOTl2ELuy\nEssfluNarYYfpJoVhc+WvT2xRHlFoVAI3kmxWDx//jxG9eMf/xgrbCKRIPtqqVTCUehyi1VVJ434\n32w2qyt8h8Mh9MTp06d5U7lcDneUSqVYCdtqtTAhiUSi3+9TgbVaLeRjDh06xBmbmJhg9TdBzMvL\ny/quAcQwDANAFZY5Q3TpD4tJCWXWBa2i4PtkXi4Wizdu3CDdIgSt3ciLaFkWVCMnf35+ngsrPTwI\n64I7nQ7bR9FGWVtbY7VvqVRCWxMRyefzupOL2HXBmPNQKKRzUTgExWfoXaKbxiUSCZ1zBaDDsizA\nVTweD18bkjFikFi40YgLC3c4HI5Go1BmfGRTU1OFQgGK07KsW7dunTx5Ukb6cnFOvF4vHhAnuVqt\njhZuy4g3Rg3HjZaq05f9CrYcx2otS1cJijyVSu1rXBLZoaky+QMuKY4arUCQvf1WXATHxxM3B+aK\nK6644sp9Ka4HdqBCN8WBX9rX/kI8yjRNtJkQO+hk2E062AA3Eolo3gFeAleJxWJEjdNOF5FDhw5h\nh5s3b7bbbTbIyGazDg9MN0ARRXLKLbgv+HCdTsfn8+EMTz311Pe//33ZSzDh9/sffPBBIAZ1coKV\ntojXISA2NzeH08JPcrQEFJE33niD92soJvKVlRUZodP1eDwITNGi53yKnYzkTTHnxKezubk5GsIa\nDAa1Wg1OLdJpuHQikXBcS0aQ4rhHUS9GPB5nMhIPDqclA0gymczlcsxmYbTHjx+vVCqkoKUPF4vF\nyK7b7XbZYBPTjuExEPfGG28wWcUQJbpFO567iGCQnAGx0Y+4o52dHRx1+vTpd999F4NEOBHEyr/x\nG7+xb0xS7HxSrVbT+Tb9jHgIE4H9fp+4TY3rY/8E7f2QYJp7OpqIkj86nU4jzikj5epis2xgejVv\nC2cP4ye2ni/tvl64Kx9PXAX2KxZ8Y1ynYrEYNQ2+z7GxMaZ8BoPB+Pg4liFqLxGp1+tYklBZwqUB\nP/x+P7tJ3b59my1dkJfCGWKxGKI6Y2NjhDubpkmqDrHDPkBM8KtjDobLNHIMhl00hnTC22+/rbvL\nM+5Hee211+bn51nNZhgGllfw64udSGdyCBv/5V/+hatPIpFYWFjAgP/t3/4N6yD42pnF0YwJo/Vq\no3x6YkcFmVacnJxk4gSjRaIeDyUQCBg2JWCr1cIlSqVSu93GUoiz8RIYrdZwwG2znTHuAk3IsEaP\nj487QOoiMjMzc+7cOVy3UqmwI3YsFsMZkFdjNwCsqtroWVxc/NnPfqbTTpwK/Lu6uhqPx3E2xhXL\n5XIgECCVF+laDh8+jFwXyMb4StdqNdwyX7wPkuXlZYQxDZuiE/NA9UNBDFOnphyqUdNyks9TP2gY\nMdw/nU7jKfBUmiiS8Cs8R2p3nW9jVYwmA2PpJzeyt5+MvHWu3KO4CuxABe0iRXUSwrrMrNXGxgbS\nGxMTE9rLQVolGAyura2h18lgMEBWHy4CPyrtJ/G62tGZmZlh70ogKTKZTDwex7ociUQAFcHZSGm4\nu7sLBVYqlXq9HhRJLBaDHp2bm+MqjJobIk2A+tNNQKBIsEYgOyI2ARVTbpyfRCKBRafX621sbLCp\nIIAb0Oi4BIaKLipsb6a7omjbXGwlAeAALfF6vQ53U/PSsrFhMBjUS/zt27dFpNVqzczM4KlVKhW6\ny4PBACMHiI5Ps1wu4949Hg/rZzXSj91biImANYOzra6u0i2ghEIh5gWhNeERUmF8iOBluHnzpu6Z\nqQXPKJPJpFIpR6oJbIEs7BURJkr5jom9ZFcqFdM0Me0LCwvwUzUEt9lsEpbigObqJqIO9cP3RETq\n9TrBFKI41Qgj1MVb9MwM1e5L8zryodAfFRsJLHuppwB05BfNZKrOqrJ3KM0LS/W4kZEUrCv3Iq73\n6oorrrjiyn0prgd2oJLL5XQQQ2xKDh3NAFyKdvr6+vqJEydgHuJfspfCQgQ+6kNCEMiIwIeDN4Cd\nkY0Qu9cGoPNi96eXvZg98sbevHnTNE3yHhGudvXq1U996lNiQwRhpe7u7sIk73a7zz33HCjkA4FA\nNpvFJbxeL36cPHkyl8uxde/U1BRbRDLMkslkMEh2WUyn05OTk4hS1uv11157DWV2ZEyWvTkGPUs0\nq/Xk684A/MGyKhI6iMjOzg4OHBsbW1hY4LUqlQpGTsw38HLAEGpPi0hOlCgYqkgO0+v3++E/IdYH\nhxsgQ8uuiwI1Cc7GhwX4uyhXaXd3t16vY2C6XXK/30esr1qt7vsWOaJk3IEPhfzLmvGWR1l2GQAf\nBMO5o61zwPPEsZF7/oOeIJ8aB8aeJnrnfr8fiUTojWlMI9GDOs/X6XTw/tCT074gR6jPICLBYFCX\n5YlIoVBIJBIMJ+pKL8ZU6aoabkfmjyWuAjtQASpXVN4YP/itEnebz+cRstOtg7An1zgN3cZpdfTf\nURPK3LiIAKFOEqZsNhsIBKAvd3Z2uKabpolcBbimcIajR482Gg3cSDAYxAJ07tw5dCsWO2qHiuNb\nt24BMzI2NnbmzBncC/QNI5YYA6q+EAZEpA4LHINsInLs2DEswZ1O59SpUyIyMzOTzWahCd54443r\n169r1QXRvecpjP8MVYd46Co8C9b9lMtl6mNsxByyaDcYDG5ubiKMCRIsnDAajZKqXC/9TJhx0cSS\nSjCFqJAvxokCaq388Hs4HOJRoq8xC5WWlpZYWcgkpe6Sg2sBpIPVHARjozVJlmUhYqnB9zpjRHgC\n7hG6Suca+ayTyWSpVDp69KiIFAoF3BoL4GSvbuBgZG+uiIN33AsTk9R8lmUhvm2aZqPR4CC73S52\nILS92+3ybH6/f2JigvM/+uYw0A1DDdniI0eO6B4CGDm1F0fLCcTnrMs/eLgrH0ncEKIrrrjiiiv3\npbge2IEKIQmOGkwy3oKEQkRSqZTG1muAHJye+fl5Hq53MO3WlJZiq2IwMBqNFotFhBNpD5ZKpXPn\nzukzMAZCWCCQIyLSaDQGgwHqTCuVCjo5VatV3b9xYmIChvZbb71FEEEmkyEov9/vX758WUTGx8fR\n6qzf72te+Xw+Dw8skUhgtL1e786dOyRnAqlHIpFIp9M/+clPROSNN94gl/8HxXxo5OpyV72z9jxw\nLRKU4LfuRYl5poMiNvQAI9esr41GAy5ap9Nh1fm+Ve16bAQyhEIh+HayF88myjW3bIIieELwDuv1\nOt4W+usQtg5YXl5GwwG43fQMCGql94PDcbNgkHK8LRDGJ/n2er1evN6tVgtBS1EeMA5nMPbEiROo\nr9ANNgnlJD7XKQAAIABJREFUx5Z9+2Zp/5XQDERiHb24NEU1u8vyr/pDo9erWWCIIsFd4z3U7GjW\n3gLqfXGGZCPjYFz36+OJq8AOVHT50QdF9oEf0/Gizc1NfGlzc3ME+G1vb+P7JCkDdqY6ZDptMBgM\nh0M2Yvb5fFi/+v0+VtWJiYlPfvKTL7zwAnZgcxB0rxeRSCSicxVra2u4dCqVIjq5VquxDsnn8yEt\n9PLLL7OfMjk1kslks9lEgJT4e0DyCPbb2tpCymdtbQ36AH1ksICCH1Lswjg0sQSGULPSfYg40Imc\numazidkjDBJ9OJFV0suoKBuCT5bdBiC430qlMjMzAwMikUgEg0Gch2FkHMunpl8GBpB1KQX5GGUv\n2Tl++P3+SqVC2CdfJKpD4vR2d3evXr2KmdSAeOpmNunGUaVSCTuQZhCDH9rNVDnIbrfLKgUiD8Hl\nAX15/fp15lw5Y5ZlrayssOiQnGcORKJDHFg+LZgEHfwUGxMvdg0DhI3RDcNYXl5Gspa5T9lbqamV\npT4z1ZjWgtSpZIwjwBXDcMGH/3/EVWAHKtre55vd7/fxheObx5KUy+UYys/lcnjpyROK3TR3nxZ8\n+VyG4Jew5wWWKlEY63Q6vbi4iB0CgUC324W2I3PjxMSEZVnYuVqt0i0DoEBsgkGsRJVK5fDhw7DQ\nE4kEVB2o/HBHkUgkEolwDeX6GAwGoX6QumC+EEu/aZrRaBTuqfaf/uRP/oSLeDqd1i2PZYQuD922\nRCQYDNJfQeWv2FqNypsLzcmTJ+nmIokiIsy9id0SDNPb6XQwvTx8bm6OVkW/319ZWSHwgZx4XPWK\nxSJzMDTedeG2ZTP5OmQ4HPK58HGHQiFW+I46ec888wxL4P1+v24pN4p2gfDVwsZ4PJ7JZDgPVCQa\nrUBQSbvdbrfbYKviDOByLIHXH4jDkeVd8Jl+kFbD/FQqlVGtFggEqBcDgQCUBzrgYLYzmcyJEycs\nm/9p39JAPS26hYrOanMaMRgkBambLVVepnkR970dVz5E3ByYK6644oor96W4HtiBSiaTYQ2jLj2m\nBRcMBhESBAGHiITDYRqhiMzAuO71erAlgeOCDSvKWnT05GVQKBaLEdCMM9+4cWM4HOJsqNOEmUx3\npNFoRCKR119/HScMh8PYnslktIvDcVqWhRDim2++CcMW1jcZ9Ikt1O2YDZspCoEmRzDQsizQTYlI\nNBp95JFHROTcuXOEWVuK+KDb7bLalFMN05jAbu0raDN/374ncAfHx8cZ76rVahyhZVnwYwqFQjKZ\nxBm63S52WF9f50SVSiX61tqu9/v9MNUnJia8Xu+HpHkcghwkDHm8RUjCEQiO597pdBi+NgwD/FtI\nOmK0o+jN0etOTk7CrWQ4ut1uVyoVhnO9Xq8jq1Qul8PhMKNt4XAYLypjjJxMsd89x8zrFtX4EwO5\njjdc7FeIuViN+rMUSxm/CEejBhFZXFycnZ194IEHxM7LYvZI5aU9P875Bz0mvadmNeOE6Pihmwb7\nGOIqsAMV5u0dIA680P1+nwGoZrPJNAbJzpHmwRJg2QVSDno9S1Gx4SpIijCf0Wq1kGbr9/vUKOxU\nC8QB6bRxqkqlohvBiGKoY+aA4PtgMLi0tIQ+Sb1ej1wbelEmJGE4HCIpEgqFwuEwg1GOvAWu+NnP\nfhaX6/V6X//61zFLTE6YpkmWBD0botYRnWHaN3WvG+9SwxmGwRnjyBHvEjurj9tEjNew+S0xaYZh\nkL4LU00SEDxiVCnpxsccBo/iaD0eTzqddlBmYJAIL1uKvJHhrGAwyPqnGzduAHwPgW6GBmVnE42G\nwJRiSI5W0TpuKUqxUXQ/bpwWE1WtVlE4gddGozNYUoJDdJWk4675MuybA2s0GiBmbDab/FhM1ZDF\nVB1bGI2fnZ3l78FgQO3Oj5RcIb1ej1z+jAQ6xNrLO+W4C/1FmKapZ9KVexRXgR2orK6uOoq0ROUn\nQLeKD1sUEY5eWDVzD1YHsgVCyuUyliHCpXSCKhaL9ft9JKji8TgPJG8vPk5Hv0TZm3biUe12W1Mr\nEbt19+7dixcvim3wUhDlz2Qy1GqtVou2P6F6IjI9PY0lbHFxEUclk8lXXnnlj/7oj0Tkr/7qr158\n8UWxoS60glmvSv0H9T/KwMs70ms0ljk6vvrpYEKwfGNgxNEBLAOrAuqfjMPsmsbJNE3T7/cbdh0r\nl79901pcuzEA7KwxO5Zqrigq6wagh4xgVaC3bty4geeCdZ9sYdRwvF84LvCSq9WqzqryukSf+ny+\nsbEx5C97vd4oNgEjYdqJlVs+nw9V3roUWovuSKlFa1m9EYOPx+PUiIZhoGAL4F7Wy/MoanrDMHR+\njlOqgSRsH8Ora8tGi4MmmNO77wvpemAfQ9wcmCuuuOKKK/eluB7Ygcrs7Cxia7T+wCiqDXA4HH6/\nX/dc1tYZ8Wz7WqChUAgeWKfTwbVgp1s216plFypxDLAu2UqD/VYomUymUCjA8yNHLc4ARL62PXEq\n+JFbW1ssMxobG8Mlms2mLgOCzc4gKs9DrDPctUQisbu7+/bbb4vIM888o01yYs1ZWKNpEZi9cHRt\npyus+1x8UF0OXUb2eGQoyev1MmEpIo1GA5FDn88HIx0OBG45kUgMBgPCFMmdQUtfX5ruCDyhUe/k\ng7CCokKRGpYJx2t7e1szROheOQ4i3VQqVSgUGD2mP6ebW3o8HkJDDcNAXdTi4uKoP6GdmEgkogvC\n9O3j/e/1eniNHchD3gUdd/16G4ZBB8uwaUFEBeRBvOLIQVqWhSyXiKTTaX53+q32+Xz7JibxLfh8\nPp0Po+fHLBo+K3xBhs28IyqT6vF4RtNprvxScRXYgQo62IpIMBjUCQOdhQZLdyqVwoeayWSCwSAZ\n5Ajj7nQ6+Car1WoymdQrLyKEjrWYuOd6vY6Pam1tzbK7Sek4hv5uca16vQ6AOLYQ8019g2AUNg4G\ng/n5eWhBjASyubkJVXHkyBFezuPxAIaAjjCYHNAIIel9+PBhBH9ardbS0tIPf/hDEQkEAoiklUol\nRilxvxrQzLHppjAULJ2aSkorxVKphNtJJpMk4tLKwOPx4LSOYgZSyINhUkTI6ygiPp9vY2MDCBem\neUCxiAP9fj+LEyhae2mrhQFAtJjSFdC6XBezR7QL4dqrq6uMV2s+9eFwiJHTABJb/bANmI7EMgAb\niUTw9jpqh/HcUSgGU6DdbnP+9XM5cuQI4pwcjFZdYrNqiarckr2qyJESFttw0U/QcU49sejVgKip\nxrXrqClKG71eL9u44BZY0ahHZdnl52z4QIQRPihMiCb6cuXexQ0huuKKK664cl+K64EdqPR6Pdqb\nCLasrq4yP+/3+wkD6/V67HbY7/d16h6BERr11Wo1EongtLVajfSsmuOHNvXGxgYS5qKAds1mc2Fh\nAR7h3bt3CbjiDn6/PxKJIBgYDofJZUAwNP4L8D2aV8ExmpiYgIGJf9l6Cm2FRdnOCMJgt2QyScxx\nMBg8efKkiOTz+X6//9prr+HW4K/o8BECXGS/1X4VrG/4joyU0kchUxFggRhkp9PRbbewM4rH8fvY\nsWPwMhuNBjmHwLaA+Sd8HN2uEfLCv3AywuEw/Kdut0tnotFoeL1eR4fuaDRaq9XItMtH3263GQjl\nPCCGjPln11NQ3OomqCIyOzvL6lr04qL7gullQwCxqeKJPuVJvF4vI3W9Xg8PjvB9jlCULyJ7XTTL\nsvAtVCoVwiNH4Zdivz+YK+4AuDyvEggE0KcN9fLYqEMFYrs+2o+sVqusN2B7WL/fj+8OmBQHQBSv\nEPxvAIXwNBlbxiUIuWLpCIfaarWI0+n3+9evX//c5z4nrnwUcRXYgYqjYEX2sgSJSLFYBPaXSSms\nblw42CRey2AwYMcKJgzICG6ojhgiEo1GSWGOz8/j8XQ6HYLyd3Z2sKhFo1F8fljidcTGgcRDo06G\nkgqFwvnz50WkXC4Djqhv37KsZrOJxZRKYn5+njqyUCjUajVouFQq9c4774jIxsbG2NgY9MTq6irX\nJsIFkQDDkHZ3d7GaoGRNL4LYrpNtOubDMA47pxiqAwAnVkSuXr2KaxmGsb29TcvD0f5D7EgUdANQ\njrQbMM+lUmlycpLDaLfbuDtaEiCVIDJwMBjgQFK569qpfr9fq9X0Ss2ZRzEABZYTM3lUvaNROBGJ\nx+M6pMYJCQaD/E1NTAUGcCYeK547Q+h8KLVaDY1VI5FIt9tlVgwvJ5pcQ6HGYrFR/B6tBLGNGGgd\n6mM8Qf0OOCK0SPJh51KpFAqFcEd8po4Hyni+2K+TI0Zt2h1NY7GYIz0sKkq/vb1tGMZ7770nIr/4\nxS+2t7f/+I//eHTmXfkQcRXYgQoXr263SwY88hsRTC8iHo+HRKLkOhK1qJFSbzAYcNnF6un4Tnig\n2BVdGxsbIsLTHjlyhD6NFjZG4tImI2slvlVkBajA2NO5VCrBuL5+/TrLfjudTqPRwCpDukU4mjrp\ngrUvnU7Dsdvd3e31ekiwb21t0Yimwdtut5nRYUmNTtdr1UJsvWGL496He/uEcbvuu8HpNU0T9nU0\nGqXOqNVqmNKJiYl+v4+ZTKVShmGwxzQLwsrlMrEheCXE9krF9nqZoNJDwjzjVCx+8Hq9ANfwFlDb\n99Of/lTfYyQSYSYJJ3TkbzT3IzgPRzHfGxsbZAjTM4lbYOoUYlkWazx4HuoqzXPd6XRYU1GtVnFa\nrUG1UuHLCT8JFh61Ox4ZkTWjWJhwONzr9fB+5nK5VqvF+gd+mER5sAkLkr548+nW44S6WbNhc61t\nbGzwtaSj+cILL6Bjka6YdOXexc2BueKKK664cl+K64EdqOzLPO1wlUZJfeDTiAiMRFiUJPaFG2Qp\nvihNTCUimUym3+8jjNPr9YbDIUo1V1ZWMJ4HHnig1Wrh99zc3LPPPktQNUxjUO7S9woEAijpNU0T\nzhwwVLS+19bWMAbm3jqdzuzsLMKGjqgXLFD8d3l5WUQOHz6Mbiwisrq6ips6duwYKUJmZmZwFFj2\nYarH4/F4PM7t8PAck8/mlnNzc5hS8GLoPA17D9INajab2BgOh7vdrq5xxg/NWhSNRhmMZZyTQVc4\nEwQu4igwzJJHg3kjgrD15QzFfdXv9+nKOBgxHD4lRkinn5PfarXIQC97Gy3qEYr91pFXHrFfnUpE\ns28ys7BfJa+L7fCEKpUKH1Cr1SLpTLvdZkASG5eWliKRCLH+zGISGQ9n2uFqOwYve3NXGrUoe5vK\nRqNRhuhJtrKyshIIBOAgatCptR+dlT5/qVSCxzkYDOhkW5aFBkDXrl3b3d1lJGC0DtqVXyquAjtQ\nGX1NQXyHNz6TyZRKJaiEcDjMVdXr9SLmkEqlNAEEvigsQPt2vWKBDoMwHo8nkUhcunQJu/3+7/++\niHzuc5/7+7//exzy8MMPP//880xWUVHx8wN8nx85FxFRca1ut4uQGkcFhUQQdrvdhjILBoPHjx8X\neylEj5XJyUnmzFk1ZZrm9PQ0lsJjx45hkSoWi5OTkyxIgP4TEXL8ALzA6iWxFzLGS8EugZ2xthJv\nzbiQ1+vFeg1kBMbAXtIgHMJpNQNWIpHAmhiPxy3LgtGAKChmNRQK6dCrxkeQTwSD0RUCGljBEK6D\nyGP0NcMTRACW01WtVmOxGJtcEwpBJSFqOS6Xy4lEwtHoeXJycnZ2Fu9hvV7X9hmH5PP5yGASCoXw\nklB7DYfDjY0NzDx5HTEGPCNEyPXAWDyna9d0l2TqVD0erWCoL1kxxuuCqgY7NBoNjoHGXK1W0yYm\nCVa4pVwuY0KQvXvuuedEZH19PRKJPPvssyLy3nvvIdZN2hfZq2tduXdxFdivWLT5X6lU2BC93+/j\nsxfF0VcqlUi1hx4QPM++XDuQTqdjmiZ7gIkIWjF99atfxaf453/+58ViEcVJm5ubaP0ue2ukuB45\nOHYxMBQe4Wy1Wi2ZTFJDYLTT09Pr6+vYAboNazebk8ViMa/Xiz6ZSGsRJwKw3+7ubq1Wg4abmZl5\n8sknReTy5ctXr17lYDiTBLmRjkvslAZWHCIP9SKC67KQHOpfoyGCwSBTXzwKj4k1cPS6sH6JSCqV\nYj/JaDRqGAZWatLf+f1+tvbARu1syd7ujvrqDngOZHp6end3F+9GIpGg8jhx4gR+12o1uOONRoOv\nkLW3S4uGP2BWNe2yaZqs9gV8UUTm5+fb7TZUEQCf+OtgMKDC0G8UQYljY2OYap0tGw6HIGlED0yY\nDmBsYqcY3AUEHVsAt3EwRZmmiTo5sQmFmcjU2U18FASAiEi1WqWLDDpEsRuK8swET43Wy7fb7Z2d\nHby9V65cuXXrFlNfWrMy+ziaiHXll4qbA3PFFVdcceW+FNcDO1DJZrO3bt0SkUAgAHsNbYiBuNMm\ncCgUoivm8XhgO3u93larhZQPWQB+qWi8HLotf/WrXxURwzC++c1vYrtlWUtLSyLSaDTK5bIjCKkv\n1Ol0dLoFxjWB3WI36UDx1tWrV3lsJpOBTY0t8MCCwSCic8FgkBhC4LVgU4sIXMNarbazswO89enT\np7Exk8lMTk6+/PLLuAWSjOgkx2//9m//+Mc/Fpu1i9OrQV/YHovFkCMUm9vCMZPwIUaZ4PeddhJq\neDyeQCCASN3hw4eBtBQb2yY22Qdmct+zdbtdXdU0WowBkD0RoXT+WIc0HA6z2ezXvvY1Edna2sKD\nePXVV4vFIohORJFiMDpnKZJ4w2a1x84YzHA4hH8vIv1+H9FvUV2P0bKHNWEaOk8SJlaPiUg0GmW/\nIe7pQCEilNdoNBj6a7Va8MYymQwjhBSdndU+pR4PqXh1WJKgSgSZR6sLeFpAhfEJZLNZENAMBoNf\n/OIX2GFlZcWyu2Oz6AWfMDaiZ+zoo3flw8VVYAcqoVCIfWbx9j/44IP5fH6UjLzb7Z44cULsGhqs\n5ojUQds5MtUfAp3v9/uVSgWBl7GxsVOnTuEL/8d//Edm1zc2Nqanp0WkUqlozjqsMrrwBT1fuANy\n1L1ej+EjESkUCojscblHifHhw4dFZHFxESUyuAtEBVOp1Pj4+Lvvvisit2/fnpycRLxlYWEBSktE\nCKZ47rnnLly4gIHNzs4ii3bp0qVYLKZZ8/HjtddeI6oCjD5iNyXBDmNjY4jz6CYjDtEVDgyOjRIn\n6vImrYrYJIzaC5MDnY16rH1VF54y+qeQwkpfF3Pu8XjIVAQFhufC00ajUa6/09PTUBjHjx/P5/Mw\nXNbW1t5++208bstudIACDw5MKwYNHMe/fEyiQBzD4RBWl9gc+QifouJe7BAuSwhKpZLjCep/oe0Q\nTmy32yR3p8Iul8vBYBBzEolEcMsgudcake8kFAmKBR9//PHR+eeeum7BsmkHNPnTzs4OB4ktrVYr\nmUw+//zzItJoNPBlOU47Pj6uk5qufFRxQ4iuuOKKK67cl+J6YAcqgNKJSKlUQlbcUu0HRZntkUgE\n6AbkvRcXF8XmmkLMx+fzgVih1+tlMhly2hIpzrOhkTFMyGAwWCgU/vu//1tE2u02berZ2dmvfOUr\nIvJ3f/d3mmxUN/QbRQyLbYkfOnSoUCjAvcCxGCTjiqBmQLRkfn6e4bvJyUlY/aDSgd/m8XhqtRrM\n29u3b8NnKhaLgUDg4YcfFpFGo4F7x/6PPfaY2Mz3RIURFU2oHsoJsJ2uUrlc1uEsgOb1I9OO0WAw\nQDRPRjpeftAhGAMT+5hbR4QW80zacroOfDFYkyC2B2DZ9BPEJtRqNVb+JhIJPBe6a4ai+hWbZPnM\nmTPRaBQe8BNPPHH06FHEt9977z1MfjQaZVQQUAi4F8lkEk4VKtyxMZFI6KisrhPH9OLGWZCgG0vC\nCwH6n3ekp5GhPB6lvR89IdyZe1YqFfLoI2pnKVZ7nBZdWEVkZmZGu9GQoWrYph93LBbDvaOnOeL8\n9XodMKVyufyf//mf5LOu1+uPPvqoiDQaDeyp+ye4CI6PJ64CO1CJRqMkTOOHCmyb2K1jyeaHT1Rj\ndsHfwY7pQPr5fD6qQyQksPCFw2GsMgjR4HLLy8v/93//h9WNMZBIJDI+Pv7KK69gB6/Xy4sSus1l\nV6vb4XB46NAhXMswDCwBWK2uXbsmNszacVQwGOQ8DAYDNqV85513MA9ISJAEAV94OBxmiDIQCODW\ndnd3u90uopGPPfYYwjUQ3cGdoRvGf8hA0Wq1dNdHIj8pXBwhwMTj975s6F6vl6qIJOWTk5Os3LL2\ndqEUETAlUvU6qNwxSJZP6PGQRZOwN8xerVbToEGxcYy87pkzZzhydoJ+4oknfuu3fktEfvSjH4Gz\nAxRW1PR8jsjqiUg2m/V4PJj/RqOhoXTslsJBishwOATHmEN7EQp/74zs2g6w7Oo9UShBDd0UW10B\nLsjtsBHz+fxjjz2GeYjH43xJWIuGqCPxqHi+mIGbN29iz0qlwobXiKZevHiRKj8YDHa7XSh4sHbp\naXTlY4urwA5UFhYWAF6YmZnB97C5ubm8vExj0DAM3atJRCqVCtrIisj6+vqxY8eYSNc9mQhB5trH\nkkzoPGi7n/3sZxrC+/nPf17sIiF0KsGnBVVBLsThcMg+wiJy9+5dZPJ8Ph9SdLlczjCM06dPi8it\nW7dYaExwB8x88Ahfv3791KlTSP8Qn/L++++LqgEaDofwsbjWAOnACpsrV65gJPV6HYvIZz7zmU9+\n8pOAJ9Trdb1oYkqxBtFuwOKl+2toGDfFYYyzDwgdC7AT0b/hs0gkEsSaa15KUdlEy6bflb2Q7tFL\nc91k8ZnsbZsitrVhmibA+tjIsmsZ6fxiWZaj2TGe/he/+MUvfOELIvL9738/nU4jQXj9+nXdgBsC\n9aZrnLVCFdtiYEmyaZrwSDweD9K68Ik1xZcDZ+/wwzweDy43ygjlmLRKpcK5ogOqz48XACNfWlpC\nThT5VAgcbtnr9WoEE6d0c3MTICMRuXjxInrKiIqvRCIRhF5EhFpt9O72vSNXPkTcHJgrrrjiiiv3\npbge2IGKaZpE37GFR7fbJY0pC3gtu/UfLFzYmw42bh2NHKX/YUNFEdna2oIt+dhjj73++us4SSwW\ng6n4qU996plnniFlOKD2IlKpVOAaGoaRy+VgQhYKBSYJaKL2ej3G98CmDxtza2uLZyB/x9mzZ7Vl\nqucHp52amgIvETYCUDccDtnngn+dmJh47rnn8PvKlSsXLlwAktD4AGKeWq0G/4nOHISDJOSakUD4\nKOyvQZclkUjQ2dW9SZvNJuNs8MBCoVC5XNbUVqOMYnNzczgJI8AQJktIka4DwmKb7fDhML2ZTIax\nTfoNzMCJItpAxI+wWHpXp06dgq/8O7/zO6dOnULGdGdnp9Vq4bEWCgUQi1SrVQbByuUyB69fY82I\n7/V6EdtkZbfugg0gJZ4FQ4KaSwX3gjOYdgfkwWDAYQQCAcuykIslhwvcblZHEKoaCARYbk+iGThb\nLIWmn6dTXwgnrK6u8jmCVgYPq1wu460GuzRmTIcKU6mUjivAEez1eqC9duUjiavADlQs1TkFgoIn\nEg1wKdRBmHq9Dq0gCq1LtiTEVUbjLWhxIvZqwvz23NwcEkhzc3P4aMvlMtJXYi8BSHgwj2JZFqNP\njzzyyE9/+lN+uhgY+rjrBBJbT2EhW1paOnr0KAZ59uzZcrlMLDL7JIlNJqQTIUzvGYaRSqUYRmO4\nbGpqCgvWQw89ZJomFtbvfe97gOyjTQxBHIZhYPW5fPmyfgpY+sPhMLpe4bnguu12u9PpcK3Ubaj2\ne8L/X0mWiIRCIcw5qIm0AtOBRE6XIzEG0X3gRlUy4eMQrMtY7qkViAcZDofo3HHixAmNTSczE+EY\nBG5Eo9Hz588jtvboo48+/fTTyO4YdpPrYDDIMSA6x6IxXJeUHGIz8bNls47p0WgQO+ZJKH+z2axU\nKnj98BSYPWXmOJFI0LDr9/v8rZNkeGOTySTecFEc9nhYuK5uYIa3WlRvHUwvv1bLstDrp1qtLi8v\n/+hHPxJFj4Ix6wdE3JY2O8g44wjPunIv4iqwAxUCzFj74vP5otEotFo+n2dBJaGA+HKQh0in0+Vy\nmXVg/NRFLfqaXJWLbLPZhKHn8/lOnjzpaNxw8eLFqakpKBIQ7TjgCblc7vz580xyTE9P4xs+evQo\nLwEDnJfGIEGOJSInTpxotVrQahpsdvHiRSxD4KUF2PLUqVMcG0AiYn/2uNlsNvvqq6+KyIULF554\n4gnkw65evZrJZD7xiU+IyJkzZ+BDIGMPJ2BlZYUuYyQSYXGYZVeYdrtdphVRHot55koHhwYjX19f\nx8ru9XpTqRTuvdVqhUIhXI7LHw4haWS/39fktmLrRc1+y9vfN0fCl0dD9fjm+P1+9v7gxgsXLty4\ncUP7MTycRbvEy+jhDYdDeAZjY2O1Wg1Tff36ddphmr5Lj1AreH3Fz3zmM2IXDsperi9MpoPdUWMC\nU6kUurrgv7iErpVGvo2JW+hjmCA8G2dyOBzC9IlGo5FIBK90rVYjWxuHARecG3X6DZ/S22+//frr\nr9PzxusEh5JWBVniOOeBQKBarVLT75uCdeXDxc2BueKKK664cl+K64EdqHg8HkaraH1HIhFgzYfD\n4auvvkrSdBieiMvh30gk0u/3EWeT/WJKsBMJoydkPBgMItYHTnH8/ta3vgU/qdVqVatVEgJZloUg\nPgHH/X5/cXERIZGFhQVGUZLJJGzJ27dva6O11Wrhvw899BDM4VqtRrevXq/3ej0ELRG5EtuaxhgK\nhUIsFoMfRm8AwHd2iMb27373u3Nzc2fPnhWRV155pVAowMk7f/48DNt6vU40mr4c2e75RETE7/ez\nQQkPQQCWUSnmY3w+HwxtTDgjdWxOL3auC14vLtfv93XeiKdtt9u03/k0CcR3kFfR8dLBLl6uXC7z\n7ep2u/A57ty5M0pBS/4qCv0enLnRaGi/4dd//deZ+mKIuFQqaYAlLjcaDxDbn8MOIPkVG8c/ioSk\ngMP+1jlgAAAgAElEQVSeD4VTvb29jbdX+0YQ1MOxU0w4HO50Oo7yPlya0el2uw3iGzYZ0OPXCTCx\nwbQi8tZbb7399tsicunSJT64QCCgu35rNCw/bd1oYt/+167co7gK7EBFV79iSzAYhPbCxtOnT7/5\n5psikkql0InY5/OxYVKn05mYmMDqAwpzEen3+9giIy10R6s+0+n0wsICIifk1BE7VS52lIypJp5h\nfX0di8jdu3cDgQAUidfrxce8urqKVvdis16Bq5Cc7uiejjPUarWtra3RgMxwbxNk3H42m8XtJJNJ\nrrZer/eRRx4RkW9+85vD4RDVS7/2a7/2r//6r7j6l770pYsXL2IAHo8H0VFMF9T/5uYm80Aaxq1X\nT63D9F//X3tf8iPHeZ7/Vu/7Nj0bZ8iZ4cxwp0htlmQnCiwr0CFRAuQQAzFyzDGnXBIgh/wbCYLk\nEAUwIgNZhARwZMhWYsimVloiJa7D0ezsZXrv6r1+hwf14J3qkUz5B0zQwPcciGJPLV99VfW9+/OS\n0U53EaNXqtvtQtLPz8/zubTbbTqvxtv1ikpq8PgPWQKsBRtLGnQtlGVZWNAd1X8rEAjAjbaxscH4\nq34rGEllQzJxqwnFFTla/MNDm81m//Ef/1FEfvWrX83MzGDkcO6RBpDp5lyv8YLhsepJZsROywmu\n7PCE63gVthcXFxFDQgE1gsekwhKV744SbDiE5+bmGDxD9QXw+uuv42yWZaHrmyjpC3pPHHV4eIjf\nf/azn1UqFbAdtlot0uTPzMywexkr25DihLsLBoOopcGpcDYMTAy+IYwL0cDAwMBgImEssBOF4zjs\np0USz1wuB/caaLnBltRsNqGvPXz4kIRA3W63Xq8z3RbFv/Dq0DphIjjNAiincKHkcjnHcaAPrq+v\n40+tVovGBFKHmX9MxZ9eO5iD2H748CEzs7XXCD4ZUbWiIlKv15FWvry8vLu7y35dmpWY/A6VSgWl\n0Jgf3iDtV7iJTp8+7TgOWD/Onj37zDPPQPt+4403mEVCLnMYlNDEU6kUzDJdiivKCPD41jRwayTP\nDQQCpOdA2ifsgGKxCJvG5/NVKhXcGitYRdE7LSws0OjxgGkXnChtpvR6PSZ/e/pE08+pueR1o0X8\neHBwwBeSqR/ar8U0QrwMOO3s7OwPfvADEXn8+DFTP5CXwXoDHs50JFS148yaDkOOq0qmcYnnpScf\nfr9AIABru1wuc2A+n0+bxUzNDYVCzAbiI0ClvIhMTU3lcjlObzwep+msh4cMzEwmQ9fI1tYWprTd\nbi8uLuKVy+fzdGbwYYHgg+8hPRzMNPmqumyDr4cRYCeKarWK4MHKyopeIuk+YqN027ZBTKc/4NXV\nVa4s8XiciW10fLFUSF8UnUEQRVtYWIhGoyB9j0Qif/qnfyoif/VXf2WpJrzytZ+T4zitVgvfrV73\nuUOz2QwEApCXZFPEVwpnab1eT6VSmtkd4IQ8fvw4HA5jOTg8PMTXjgbHkLjxeBzTcvXq1cPDQ/xY\nrVaffvrpDz/8ECd5+umnReTf//3fPX42htyY/cj51z4cneCns6hJ5cCURU0uNT09TUp7zatEtyGi\ngx42B1AaevgPNXTbaO2BpH8PQogtMUWlz2Hm4arCnzTtCxQacQX5eMhNy0veezAYhBT5y7/8y7/9\n27+F+oWsSwoSPX5eYnp6GkpMqVTi7XgifJ6aAQyMefYs5+ArjZkhmwkFKkeO2cPkRKNRv9/PIBYQ\njUbZC+b69euO4+Du+HoPBgO2EXj48CEqJlGmAlG3sLCwsLCA98HTvUUrdvCrdzod+lE5UaS1NPhG\nMALsRLG1tYUvcHd3F4ZUNpulsRUMBnO5HLT4s2fPQtTdvXuXH3O3202n02wZjB8RvvKE1gD8F5Wb\n0NDRXQkrfqPRuHv3rhzNFJejWdr8hekAIsKmt1RyV1dXbdtm5fVwOITt1el0QLvX7XYbjQbqkJaW\nlnw+H3M6aDowx53NVgDUQqFIznJJ/7Bx+vRpmggbGxsk6dnc3Py93/s9EVlfX//www8Z7iIFInuD\nwbrVVXQQnMy91uupXkx1wv3a2hrED+KXAPJlMDmeJ8LHxFbFouqxxnNz9LOAOsJiNfyuCWExQkxv\nPB7HaYfDIY0eykIm0PNGWF3HOCubyelXy3JpwxDS+4u/+As52m7Ntm0OTCtYuVwOkoBzTiVMxhQv\nANJl/Pdut0tZTltW0zFTHuN91mISplssFsOH8PTTT3PAhUJBF9dzYq9cufLOO+/gbLD4S6WSz+eD\nJwDFhbp+XJSIBYLBIN8ovKXoD870JSPAfgMYu9XAwMDAYCJhLLATxcHBAZS+733ve9ATg8FgOByG\nRobMbPoMEdy6c+eOuJrg/v5+LBaDI4JIJBKNRuNr1PZ4PF6v17nD1tYW1MbRaIRWxbBsoAmi7wmN\nDGz0+30Q9sjRKE44HIZ5ND8/T2UzHo/XajVGEWBHxmIxdgXc3t7+1re+hTuybRs+t2Qyuba2huws\ndP8DlUav1yOfCIl09c2Gw2GMfGtrKxKJIPn+wYMHDx48EJH19fXbt29jSuv1+mg0wtkcxyELu842\nBKW6KDfaV5UV0xRLp9NUn9lnBJMGTR95dLAG2KZZXA+euE6nr1HAPXabo5oOY8aQaz4+SFEplKR3\nEpXh3Wq1cKBOv6SPEY5HZgOGw2H4D9ge0+/3X79+/fd///dF5O/+7u9YAs9XmrUZ4pa3a/ZkcSuX\ndTcGz72Pm1803ejyBVsHrkuXnWaBYhTZcZxsNksGKRj67XY7GAzis/LQYXA8P/3pT7mNffr9vm3b\n4Dkju4e+NQT/MLBgMBiPx/GN8A0ZDAbBYBDzz3REg28EI8BOFKyeKRaLZONmBB6fH5tT4As8ffr0\n5uYmPg8wuWFnFC3hR90l1nFZc/g9WIopsd/vs13v7u4uxQ9FDtkNRK3ySBagvysajfKEGC1C32y8\na1kWeT3gS3zmmWfu3r3LbvHlchkLDXkTLMvCWiwiIGOkgwsbjUYDraVFZGpqCpIsl8tls1mI4W63\n22w2wSb+/PPPY+Rra2vdbhdj8PDBc23FBOJPuqezhqW4BHHpqakpeAiTySTXrGw2W6lUcGtcSXFy\npgwwqUHvQ6JI3r64KSHHAkuhzlkIhUL4kYJZRJrNJh4xRCwpQjjgcX56vaHfnGAwGIlEGFqjP9my\nrOvXr4vIhQsX7t69S/1GJ1Nwz0gkwrYyjNV52LmOVcU0tCDHfwuFgh6PZ5YikQj4bsT9xEgiig8B\nsT3c2mAw2N/fh4anOzBwHt5//31+KXTdg6kS28yRgR6Amku8w56EFI+qZNLofwMYF6KBgYGBwUTC\nWGAnChJAFAqFl156SUQODw9nZmagmkWj0WAwSF8cfgSPAKyT06dPP3r06Kc//amIvPrqq9DgYKvB\nLBupllcaLIVuNpuJRMKTz1apVOAgEhG/309mBJ/PB4MGdAOATmTo9XowbmBe6LwG1nLCZrp//77l\n8gHC2GJHK5gImgXD5/M9ePAACSbnz5/HDtCaobZXKhXwJiDLC1H3n//855FIBLnOv/VbvwVr6dq1\na0x4w7CZlUdNfzgcjtsN4w+O26QLYQYj/U7RaDQSiZBCHvduWVY2m2VahHZtYQNp68w4QGxfVNaf\nfqZ8fOK2L8BpU6kU5pxtAXAgzLhwOJzL5ZjOzh1IC4L2CEzbw1EkcxE3YYRPEFeBq/Db3/62iDx8\n+PDhw4ccMBMa+bakUqlyucyXBB4IPhpRTc7wC3x6jx496vf72izjIazrIIOiKNeuHO3dRcvP7/ej\nFx293GfOnEkmkzytTqNn8cPKygout7Ky8t5774nL30HbXX81rE0mZT46543c1qw4ubbwTAbHbwYj\nwE4U6XQaS8PGxsZbb70lIktLS/S/e3LJkNpUrVYPDw+xTqVSqeFwuLa2JmoZgvuO247Lo6qT66am\npuA+2t7evnv37uuvvy4if//3f0+/f6vVYuKfPjO4wwOBQDgcxsesKUer1SoW63PnztHXh6XkwoUL\nIvLZZ5/hc338+HEkEqGnlAsclxtQBMGlE41GV1ZWIMAeP36M5UbUsijuyoJ0O4i9U6dOFYtFrFlY\nHEWkXC6fPn2aHSuY6Ciuq83n82nKBnHXx3w+zyI2JP5xtCRAIacXmTI2NjYsN1M/GAxCgEUiEdu2\n4W/U/kkdTdQpc8eG3zhRnpgcZVKlUsHsFYtF/q5z2/r9Pq9Ieczsu2AwqNdT+NC0MBDFDMJ+Lqj6\nwES99tprlUrlRz/6kecuOOZ4PH7mzBnMQ7PZ1JVbEBh6/h3HYYeEcemlZ9JDiOUZMA+B9352dnZp\naYnfBUsMtQikMNPv22g0AunG7du3Gb5NJpPMeOTler0e45F8rCKSz+fxsfDHY0OqBt8IRoCdKPb3\n9/mxIXnh3LlzrVZLZ8Yjvb7RaGCxODg4oP3k9/vn5+fx9u/v78Pu6ff7LHNBcALuflpyaG3FFOpa\nrYYK6OXlZeQ0Q+scz5bGsoht27a5Vvr9fjaveuGFF2TM8guHwyRvtFwOQAbnmAIgImzhoc0jCAMk\nan/wwQe4FgjxLl26hDtiR6twOHzjxg1xWSURVbp+/TomAVF0tlvTg9T92MbXjlarhXUZTUDwI6I4\nOFsoFMLilUwmWRKAfASMgaVmrVYL4py36amS/qqoDxMoMGz21w4Gg5ZLpIk9K5VKtVodz/unDTcc\nDjVBlB4M0zGGwyEWdHZeRmsShqZ0SxHeL9tuBQKBa9euvfnmm567YEoI66vErVUQ14g81sDiLbAc\nW46zVDwkhySC0pz6tKhWV1ctVYRAOe05py5vwCVQ3Sgi29vbDNolEgm8hwgnQ26Fw2FM6XA41Okw\nqFGTMbJHg/8fmBiYgYGBgcFEwugCJw3qkggv9fv9VCpFNxr9fix7BGkv+zgPh0M4IYPBILMQta+f\neWXhcBhKKHkxROTs2bN+vx/dxb773e9CX0Z+Mwam3ZgeMOTjOA7bM4KV4A/+4A/gOxI3isO2W9iA\ncoozIFsaSrFt2y+++KKI7O/vh8Nh+HnA2wvDC24xETk4OJibm/PUiuK+4Gu9c+cO9fq7d+/+zu/8\nDrZ1cjZHTq0fBtN4MWmn0wFnhAdwHInIwsIC7EWcAfO2srJy//59mkowrPP5PNPoMQMM9uh5hhmn\ns8NFkfQzzRrdqHkgLW9dD6AjeRjk6upqq9XCnPPwTqdDvzHZokXxlaAGWQ9ynORCVJOtpaUlJN3t\n7u7qBwTkcjmygQwGA1ZEaOZfMlN3Oh0drbRcWql+v493iWaohs/nYzYgdxgMBvF4/PLly9xnaWlJ\nlB81lUp5Yp+erwCOiu3tbRmjSuGXy3IOGrWYTDLOjOfZe6BdygZPCCPAThSacB1fxenTp+v1OjiW\n/H4/fX3RaBQuLMtt+i4i8KHhYyMlB3ZmALnT6YyXwoRCIVAL9vv9qakpkm0zc51xCETy6YYadx/p\nMycSCZKdZ7NZuA37/X61WiVjkxYDEDC6d1+n04Erlbnp4i5qbHjIbPJms4mY3Llz5zA58HqBIn1z\nc5OiqFqtYuP+/fseog2PpxSJCePuUw3d4dPv92M7Ho/j3jXZIAQke0xDsiaTSd0ymxnknmiN41JX\ncGHlwo10dtIbivKzUdpRXwFJo8cJViqVuLDq+or5+XnSjzF5JJ1OkzWR/az1osxUFJ/qp+z3+0+f\nPv3nf/7nIvLXf/3XeLXwCjEGhsonOZqfwn+RGEIhqtUO7sx2KnyLbNuOx+PMSOLOHDNODu8oAlSY\nHDqi8URYjzUejoKyiHcP3PZ47uwIAe+3p8toJBJpNBpaJUKsmsUPHsfpr60fMBiHEWAnCrz02MZn\ngGg2LA98Y/jymcg3NzeXSCR0uyy9qPHM46VFotpEoe26uCRMJHaD5ouEOmqd6HuLHfCFN5tNCFc5\nqoGeOnUKcbhoNBqPx/UX7kkHgDmFW/P5fNvb20w8geUxOzvruCzDzWYzHo9rTj8AvY9FtbSArQBR\nt7Kysre3R9sCrE6lUml2dhZmooicPXsW89/pdGi7+Hw+3bpJL6lANBolx5Xf78fltA00NzeHaUcu\nDFu4gUB2NBolk0muj3JcFISPEnmqeu0WdyHGJTzdWHA7yWSS1EqlUqnX62GimJeBEA5NBJ7h0aNH\niLnqd4k26/nz51FHTzguDyTNBRqXAFSxSCRCKU6lbWFhQV8d7z+mBTpKs9n0JLbwNqkfMC7IdywW\ni7F53kg1Pt7e3kYuTzab/da3voVTzc3NsXMN2Sx1QBFmMSU93pxAIPDGG29wN76ZVDWQu+sZtgZu\nYeR2Z9aPABPFWzD4RjAxMAMDAwODiYSxwE4UNL8sy4J/qdPp/PZv/zZMk0ajEYlEmAQPi+fw8JBN\nQB48eJBOp8GxVK/XEcAAjQ1VVO0AoTHR6XS0eYGz/eQnP4FhEYvFdNxF95IYb5eszzw7O0uLhwom\nVGOd24aNfr8PRdvn86XTaRx4eHjIFiqWZSE4l8lkSLm0u7uL0i6QHXiIiETkiy++QDo72HqgFH/n\nO9/BqQaDwWuvvfbGG29gZwTS9C1A/6WnlHxLehppogEsXOMvTPCbnp4mp+3Vq1cxIZlMxkMUxDx7\n/dTIPEIbl6q6Vs9t22aWNoEcUYwhFArpsgpssImJPgqnhfUPY451DtgfrLXa5chjOUgSWwAws555\n5pm3335bRIrFYiaToedAO/r4cjKt3GN+weIEeQczEhk4jEQimEZtuGj3A0spwI6GYgyfz5fNZmm+\n83VKp9MMT/JZ93o9TM7W1tZ4j2nLsvDBiutm4O8Mr0ajUXrL+dR07NNxW6t4UjENnhBGgP3foN/v\ng6wPHID4sEF+SP8G3G6gRWf+sW3bTKBAbAwf6njZjV5uQqGQDjvhcigYEhGUWzKiw8CYTg/xRAWw\nTuVyOXbV6nQ6uvyWMTn40/BfnNmyrGg0ikFmMhlsYDDYrVqtgp1IRDY3NxkwWF9f17Eo/Dg1NQXH\nYz6fPzg4QDe1hYUFeCZRdYCz7ezscOp4R+BtIvmTbk6mY2a4brfbvXjxIk7iOA7ScAKBQKlU4v36\n/X6qJhh5LpejK4+xK1HOKEovOVonrgcjKmmenQHIHz8ajaAiiCsXPf6uY1macCEKTqbAMA8Cp+Wr\nhfbWcpSMitfS+P73v/8P//AP2PPg4AB8/Ds7O+l02kM2iBZiZFDUNct0nGoxbCnSTq1d8WyFQgGJ\nP5ZlQcNDC2amQbHQmFErLbQ86TCMBUajUSh28XicdJpUXLQ7kUNCBwAtU48NsvJAfncGTw7jQjQw\nMDAwmEgYC+xEkU6nye+ADGPU547Hq8V15cViMbZMREYiHERMgEYOFbnteS1aADp0j3OSXkhn0OnC\nT2x4Uqi588rKCsbABl2DwQDEGTwDlFwajvAC8Wy2bUPfz2QyHuojcUmYQBb1zDPPMBldzySV3JmZ\nGUTaR6MR23198MEHv/rVr0Sk2WweHBxAyY1EItp1gw2dxEF7VMYsWvz4yiuv0L8K8wt/DYfDmggK\ndw3yexGp1WqhUAiPBmPwkG4EAoF8Pk/Sfc3EwQGj3IIjJ5kvxzyeOyeqn7IuIuZJMAxcdzQaPfXU\nU8x24W6j0QhutGQymU6nNUuLHEcVD2QyGVj5sJmwGyrT6VImTzTTMkV1aqbFo0m/ALwPSCwS15eL\nt+jatWsfffQRB49be/nll+lvDAaDzWaTTchohXuc8HjVB4MBnByFQoHPXdtn9FJifzgJaUQ6jqPZ\ne/WnzTCBfs2+ajINvgZGgJ0omP5n2za+ZOTFIWdML0DJZBIvdCwW07+PRiN8FXT4zM7O1ut1+Do8\neXTaVUVXGBO12d8WqwxOq78oj+OLy24ymcRy8LOf/QzeoVwut7i4iIR4TSjFkZP8kCDHvM76479L\nS0tkEtKii81ZcPinn37KugIReemllzh+rDilUqlYLCK905O/N35dvVB6GAsxUdVqNR6PQ3gfHh7q\nIirs1u/3Dw8PUbGAfDxx3Y+eDFLPVch4AnAF5AOlr1U/CzkaVdWH80BsQHrx0dDBOBwOMWO5XG5j\nY0PzYfJUeHDz8/PjYTwZc0sCU1NT3/3ud0UEDbJ1JI+Jfziw0Wjoy+ln4UmM9FyCZ0B7Vdzgo0eP\ntIsSjm7HcXq93s7OjrhRW7r1PBxsnund2dlBJLXVakUiEfzYarVwCegQ2CbriiifJ5IqIdUwft6a\nJlghSaZxIf4GMALsRMFkCnG1tsFg8OjRIyx2rVaLX9RoNIJSiRg4TZO5uTnPkoGccs/6JSpQYdu2\nbdv8hFqtFtaL8+fPb2xsYH8qmKCmZToGTyWqS/1HH32Ecfb7fSRhI1qGOHmlUqHxRwtASy8sFnr1\nwY/5fJ5z8uMf/xiHPPvss8jUR6SKJXGcHGSNiwhy1oHV1VXS60WjUchmqMYM1OnYCU6L3HptDXM+\nKQbGg4J68h3HgfTS+PLLL/P5vLafPM2XPRyYvJx+oNos0ys7DRrHcUi1h7QFPc5Wq8U2Hx7Fn9SO\nDH/Ozs6SI1hcMYBJhk2TTCbxpMa5qbARDAZhQEOA0QKWMV0hFAppjYqj0v2dS6US3jdHkVAzpovp\n4h1pNQWjRRcYXY+InVkA4CELFpHd3V0cDp1sNBqRq9fv91Pt4ySP5zeJm9+vWYYZMMPgfT7fwcEB\n1SCPj8HgSWBiYAYGBgYGEwljgZ0olpeXC4WCiNTrdejOp0+fnpqagu4MShv87rhs9F988QV1PVRW\nQmWrVqu6NlZHbmgq8U+agYn9M9nbRav86KDByArO0O/36Z27desWWawCgQCS/QaDQSQSgZGHGmSm\nOLOgVccAuE2/P7pKsvMkLbZyuYx5wAywyht/hbqNo+7cuTM7OwtDh1Wuq6urPBvswk8++URUa0Ft\nuTJdG5fDyKkgi0ixWJyamoJDkm5M/Itnoan6CWjWWsenI5FPzbZtNqLUDLx6bHyCfNxk6tKIRqMg\n4cV/Sd00Ul0oNRico93M2Cc8frpgwHELmfFG6VYylpuVjov+4Ac/EBEUMDCnVI7aXiKytLREvzqp\nQPSejuOMlw1g2Do9ctxuFhGWva+vr5NwhP/yyY7PNjyHhUIBb93e3h7teIb0dOi61+uNPwi4QOjL\nHY1GeD1mZmbg+QgEAnoMx+YoGnw9jAA7UWj2JgCvOJOhdSAXfgx0bKLDfWZmBtEvftXdbpd9m3Q8\nnEICfjwmQC8sLNy/f19U/jHyffWQuAEJ4fP5bty4gX0080Kj0cAqDw8PKSpYxcUO1BqOIkuknxMU\nCdih2Wwy5mG5xWErKyuNRsNTycRgg4jUarVYLIYr/vCHP0SAPZlMNhoNEDFks1ly4k1PT1Oydjqd\nd999V46ufT6fj+MRVwiB4AqLjodbC7dTLBaz2SzWKaYABAKBmZkZyIl0Ot1utzGrYDUU1+nH63Ik\nnuTs8aDdsRs675y+tU6nQ5r8aDSKR2/b9mAw0FUZlFsYTyKR0J46nRHOHA3+ord9boO68+fPVyoV\nPM1Go4H+YaI4RBB/1YSBHlpClBiOR9r4Smv1S8eAxX0t0QxoXMBQYHvQarUgU3kezeTJH1kyOA4K\ny1AoBDcmWaZEZGtri+xc+pUzXIi/AYwAO1HApa7xxRdfpFIpfGmDwUAHchAY63a7t2/fttyqW6YO\nisoepC5vWVYsFmMkyXF5gR2XxBbLGWiWEBcRkXa7rT31HAClhaag1R9tpVLBp14ulxli0ceySwvz\nJDlyT5ET8hLRq/PMmTN+vx9yOp1OO26hmIh85zvfEZH79+/jbJAWmKhKpcKeL/l8njkCjuNABD5+\n/BhrqIgsLCxgzkGUjGvVajWWPbHL5fT0tOX2eQGrIbl6MX5t+yLCz3wZXOvUqVOWZVFOoIGL5zUI\nBoOYXt06RNylE2LeE0eUr8CxGYnD4TCZTGphJi6DHzUJLqCJRALLbq1Ws9zmI1px0ca9h5CJIhAP\n5fLlyz/60Y8QD0MVOd4ltlJzHKfdbo9XsJHMGnkQuBxkBubBk9ahk1awPT8/j42FhYVSqQTtKhwO\ns/WXR37ghex0Or/85S8xHlrkdEiISKPRwES1Wi1a/AcHB1qB4JDYa0ZnjshRQ9AzAINvBBMDMzAw\nMDCYSBgL7ERBr4VlWVBCEXtAk2U0fYdq2e/34YSZnZ0lI3s8Hmf2vG3bzIZilEL7ecgCrlPdAPS8\n+Oyzz/AnHbkB+7jHtQKNHsom+Jxw4IULFxj7oecKqi60VN16kbmUUPmR21ar1Ry37mdvbw9zUqvV\nXnzxRQRsqFBXq9VIJLK5uYnZw2DARAUlF/lsIPXp9Xrs1iFuxMtRxBObm5tUqweDAQ0d3vK4BSMu\nVyxCbrFYDKaJ1voHg0Gj0cBdcP7xKOEExoXGM8WtsS6XAH2znuAQ7qLVajFHn8mQ8MJ5PJwiUigU\n8FAQsBSRRCIBA0hEcrmc4zYfYO4ojDlcGmYQXwz8yIalAP9q2zbe2Oeff/7tt9/G+zYYDM6cOcMo\nGg4slUqapYmGJo1IcBDrR+Nze7jQZR0Oh+Fvx1uBnYvFIl8nbe7zYdFdCcIR/NhsNtm+nJzRDCqL\n2xJWXBqUg4MDnHlvb4+PDE9N222ezFK9jWcxMzMzbpcb/FoYAXaiSKVSZKXjt9FqtfAZzMzMMEJG\n3vrRaJTL5ZA1Ho1GP/nkE7AlkX0cHICkS+e/2WyWZDzsSIIvBxx3Pp8Pn6In1qJXVSY7kL0QfWaR\nyEB5qUUXxy9KDPh8Pkba4cPBpZkZb9u2ZVkrKysisrm5Wa/XsbCGQiH8WC6Xe70eA1co6wkEAmfP\nnsWy9eqrr/7bv/0b6otrtRqLTBOJBKu8Ge3TEno0GrExvKX48fDXwWCwtLREx5fOUNdTyooFplnD\nnSuuL5chH0oXnXTOy3lWMdSHwZ9JCiU+LFZxQdJgh3g87kmU560xaITHpzs460evieTpV/RwLJVD\nfSMAACAASURBVNGnl0gkxkvgeUdPPfXU2toaLhQIBBqNBt9qzhtjcqxcFhXBpWjBGTTtE9Hv9xGY\ndFRfb94gyNjwY7vdLpfLUJ7W1tZwqv39/cFggBcDRfSoyte3c+fOHaarsOYSmUeewXS7XS3APDFL\nOVqwzOZHbPBt8I1gXIgGBgYGBhMJY4GdKEKhEPUvlP0ibxAqW7FY1KkQcJeJSCwWY5Fju91mejeU\nyuFwSFodrejt7+9rh4+2OZCV9/bbb9Oo8qjhHCS9cwsLC2gNBYURlhnzEXTiuxyl28GevV4vlUrR\n5+Pz+XRMm4PEHf3u7/7uZ599hjEg/i8iuVyOFMC9Xo+Zh3t7e/BQzc/PX7t2DUetr6+z95K+L5IL\nJxIJKNSO4xQKBV39CsBkxGlZxqC9fJpni362drs9GAxgNmFUuK9oNKrz4D3Re1gV9C3rv+qkRPwe\niURarZYn7472kIiUSiUmZ+scRdrZzHrVaDabmUxmvFGZ5t/ii0Gfns6f1KDLNJ/PLy8vY5AXL17k\nBFYqFW27sE8mX0VaYKJya/WPoujEHMfBFxSNRpn9QU/4zs7OzZs3kX0KBhyY7BsbG2ygitcA9xiL\nxS5duiQin3/+ORlYNMEHWD+0+aWTs7rdLk7baDT4HWlOKdqUuhS60WjQCWnw5DAC7ETBJVjTopdK\nJSzHYEYniyAyEpvNZqvVgsMtn88vLi7iDJpiyuPi1wsrNoLBoA5N4btKJpNkx+FgcHX45ZkN32w2\nb968qVcc3XIevxyb83327Nn//d//xWgpQVOpFKWXXv44J8FgMBaLgdLi2WefvXr1qog8evSI0uj+\n/ft6aYZ/dW1t7aWXXmKDGFD7/83f/M36+vq4INcNSjKZDJY8Le2YdNdqtRKJhM9tQKxngFG6wWAA\nryy8QHTlHRvW0sTznPNjM9A8URPmVXom2YOvSjrXP5KiotPpMCynpRf9eOyWUqlUdMSLgrPdbrO8\njDeiFZSLFy/qmB/rK3DUmTNntre3+ei1186jfIhIOBwmQ4eOYIkrVEByhmnnPA8Gg1wuxxLDXq+H\nFyYWi1HtYyzWcZxarXb79m0ci+8Ol+ZLQtcrXJpylEOEbQGuXLny0UcfMROYVRMUw6FQiKEE+Yoi\nQoOvhxFgJwq+rIyo5/P5Xq+HHPFkMhmJRKBLDodDyJVarfbUU08hSDYaje7du/fss8+KSL1eZ0KH\nRqlUomWGbxhrAXRAtBRBgScZ5PL5fLPZZDp1NpvFF9jr9bjR6/UQOEEeBK0BXpexB6jnWCN05MCy\nLJwBIyGJHP6K9QiCvNPp5PN59He+desWqj6RWI+w/OLiItt9iRs7sW0bNUO4IxyeSCRY8W3b9mg0\ngrHVarXQVm0wGFA7RqSKKd34EdW1uryBILVgsVjE5SzLop2RTqdpGFH8YPGCPd1ut7ViThxbtCRu\nuVskEtFykRqJR9qxGAAzjCfF2gNShXERF2WI61PxPQwEArp0lzarpziahe047eLi4ve///0f/vCH\nnDF0ERqNRtgzHA6Xy2W886hhoFjS6hf7nsBKE0WViynFGeLxOHW1Xq+n3RJ4WAgt8zOkDUfJ2mq1\nOp0O5p8iEOEubnPj1q1buhMYnks4HMbADg8P/X4/Zg+FEJ7SEXGDlyLSaDTGfRIGvxYmBmZgYGBg\nMJEwFtiJYuT2ThQ3V7DZbK6srCAtCronPfjw81iW9dFHH8F2yWQyg8EAO2SzWd0amDGJRCLB/EY6\nZKLRKJRKpEHyd+jRuVxOs6HTGmOfEb/fT3tCxnILcV+M8TAVW9wGuOISAlHxHw6H5LmArQa6ephK\nGBVbJyPm1263b9y4AX3/j/7oj6D5Hh4e+nw+zMPW1hbGKSK2bb/11lvipq1jYjudDhLHRaTf7yPm\nAc8STgvbkbExbEA3h+2CftnOUT740WjUarXGG4Lw6og5YZAwlUisjBALHG6aHnfcByhHaWo5/+Mp\nefjR4/N0VGsPPsdUKqXddI7qkkxOKRpzlqLJ4J4LCwvdbhcWT7/f73Q6uEo8Hsf0+v1+FIfgEq1W\nC5GecrkMYxqF8HgH4vH47Owsdo7FYjhDLpfTdMlsOhoOh3FdTiz+DQaDuss2bw0GXzKZnJqaAgM1\nj4JvAKZSqVTa29vDWzHe/tQDVtljxnQSv4jcu3ePpSOYsWMfK+6CvkqDbwQjwE4UdIy0Wi2u7Oyc\ngtWNxNtwNN2/f5/BKhFJJpOklYILETEYfic6sYIXFVfOJRKJw8NDbCOLRESq1Sp+lzE6JQ99Ds5A\nCvlwOOxx64tIPB4fDAYYQyaToWDjUgvSB0ggJqogfRlHwROI22dwAs1fcJIPP/zw6aefFpFKpeI4\nDtMlHjx4AF8THIziLhxYVf1+f6VSwb07jgOZjX+xoumABJm6cI8+t7Oa9iBx59FohP1RY4DwG4Ul\n2tXzoXgmU0TQ2HecaEOvdx5BRWk3HjzzNF8m+4a4bltSUYzcxsTiUqVARkJOewaA3RgogsoFYOFG\nJRaT0emmrtfrFy9eFJE333yz3+8zuQZSfDQakbAKfkVMVDabxZR2Op1gMEiaTXZIYNK54zh0Yx7L\nDqXDulDvdOsTcRvjQbL6fL75+Xl8g2zoo4PE9CUGAgEdSaWKoPlrWI8oIisrK7hEMpnEmdmlDE/N\ntFP5DWAE2ImiWq3SL4+vYjQa3blzB6v5+vo6I0YMnkej0XPnziHEwm9bRJLJJM0CHVpn8hXD8hBv\nLNLKZDLvv/++qLh0NBotFovjeYysZGo2m/V6HXIC3y1DLMxj5FFYYjBINqqwLItxewwPKifLsTFa\nXTSD8q+PP/6YaRdcxDudDgJj8/PzlUoFV9cJnEhZxOQMBgMtbh23oQk7i4q7vg+HQxBH4Ufm8nGx\n7vf7mhaZi1e1WkVoZ3V1dTQaof8LAeJm5jHqRic6bo/VbXp6OhqN0mR03AYiOolR6yv6QuOFU/qB\nOm7RHgrF+Pi44vd6PdYI6zNwCdYmuOZo1pk4bJtJO7VcLmMm8RTwDmtdgfZcv98neWav18M0lstl\nFHKJyPLyMluvyZioFpfVc3xyaMPZtp1KpTy2LHQRfI8IZ/LuIFTwrDE5bMwGeircBSjTWDtPY1df\nqFQqsRmQpn52XKa0Y4kZDb4eZsoMDAwMDCYSxgI7UZB8XVQGFPMJEfVht3ioZvF4PBwOwwJLpVKh\nUAgZiel0mmdYXV1lM0OemaooUvO1L97jcE8mk9SIh8Ph/Pw8XHDUYROJBB1iuniFWemeFLjxG282\nm1T2qXLK0YjR6uoqlO5Op3P16lXERebn56GVO45z9uxZmE26q2c4HEaAcG9vLxAIwDv04MEDpmKK\na/MFg8FMJgOfIf1OkUiEjVGgZcMhZts2jAkyeojr46URBkX7yy+/bLVaDFKeOXMGZ240GjoExW4A\nPBvnHImdrGQaj0V5eJCHwyHiQ3QjY0gk/tCmkjapMRvdbhf7w3WpB4Z5qFQqcC+DHozJljqJjm+L\nLjsT18DS1MAzMzNkhKGLz+fzMRndURRWpJjqdruoo5ibm2u32xjw+++/f/78eTziZrNJ231mZgZj\ngAWGebAsi6nz4rbW/Pa3v42CMM/L+eDBAzLiowGmiNRqNbyEeL4sKRn3yqKeBL+wAMOyrEwmg/ec\nsT2Ao0ULb1Hfu8E3ghFgJwqPlwwIh8OsuIzFYlhA6RDPZrO7u7ukbrJc0rxGo0G6bu091wU9WHz7\n/f729ja+9sFgUCgU4MEol8v4ZnSJlWVZWBzHQWegxzkjbv8trk2sD3McBytso9HgUjgYDHQi+PPP\nPy8i9+7du337NuOCGxsbmKI/+7M/e/PNN0WkUCjs7+8jvCSuqyqbzbZaLXjGbt++jSIBETm2wAC7\nefiTer3ecDjEMoQMFybRsMSHEgWxLkiavb093DvWOPp1SQMoSpbTlaSnjk5drPVMyK7X65rfXURC\noVC322V5k23bdDVDFwFhJsWwHE3fwAZzRkSVeXFaer0eIzp0l3388cfLy8s4Sjs/Y7EYXZq6wpeZ\n4gztOG6JNx4ZunV7ngtPS8pKUTG//f39druNx91qtba2tvC2s3pvYWHBU0XAecOUDgaDTqfz8ssv\ni8i1a9e0Bsaudc1mE5KmWq1Wq1VoDPV6nS5cTlqv1yPJGV9jOF2p4fHeQS0mR7/3TqdDdZNu20aj\nwdQSgyeHcSEaGBgYGEwkjAV2oqBerCPtsVhsa2tLRM6dO5dIJJ577jkRuXPnDpsSffnll8g5Rj4C\nFFWkF4vL1UvlWpS6B05SnWfv8/k+/PBDD59CKBTy+XxUjZkjoPMGfT7fsf18PVcUkU6noy1CKLae\nE3LD5/PBU/T48eNut4sBz8/P0xx55513kI6Yz+cZM89msyDttW17Z2cHs9fr9ZLJJO5It7xyjlKT\n0LWoawxgVOEQpmXT8UhPKZyxSLcTkffee09ckhGYhkiepBuN2je5YvVgdANoXfMAOgnPDOusBz14\njByK/Pb2NiYql8vx5dEnYU4pW7vRAvD7/Xy+vV4PbtsrV67wWEwd7wJvSyQSoe9LJy+wRsKyLLqv\np6ambt26xfxJzLbuGgrHGpu78ndSP6O2hIYj3pZ79+71er1XXnkFL0aj0aAVjg3LstBSWUSazWY4\nHMZFtU+vWCyyvmJra4veS/xV04IgU19cVwdta3om+IjBvgFzrdvtai5/fQimNBqNjjcLNPi1MALs\nRKFdZ5oOgN7zVqsFGhvtiEin0/hObNteXV1dWloSlVglKtyCeAAdFPjStBOsVqvt7OwgwsEBpNNp\nLsr6zORN91Cb87/BYFBXF+EDrtfr4/lUmUyGjjXEBrheICiF3EWcTdNeaNG4srKC1a1SqYCNHt5O\nHBUMBlutFtcOHshMP3R0hMuLNA2DwYBkE91u9+zZszhweXmZQpTrV6/XYxTn7t27uKNer5fP5+Gt\nhaz1FDBAYIx7Eeml9HTE1lxTHq8UfmTzAb5OELHwsyEG5hFdo9EonU6TwVLn6ZHNZGZmBlUNuVxO\ndxDWNVgessROp0PZLCKsohsOh3CIdTqdcrmMM7z22mvvvPMOzjk9Pc2eznQzxmIxlIWJkrL4Kynb\nWVYxGAxYTodUXhFBDcMf//Efi2r1gj/hcXe73UgkgsdUKBQwjbVabWpqCuL/008/tW2bWYI6oReP\nm81oRGRpaYkhVVJM8dXSPJZ8TLw77PD48WNW0ZmOzL8BjAA7UTDAy0RzKIlYevx+P/rYapTLZeT+\niki1WmVgeXV1ledkFD0UCoEwCf/VnwS+mXv37uXzeZ/bkZYlz2QZ9ix8WhTR9c+cAlLiNhoNLVDZ\nlViz4+gwda1W03YhTtXr9bBGvPXWW5cvX2ZHZlif0FUhadCTTESi0Win08Hs7ezsnD59GgsKm5Mx\n10BEisUiJ4TXhemDHZLJJMUM+YKRIY39tSBnEQJWajwgD2kygAJtjDwYDLLOQRtVrVaLMlKzXPIM\nOvne73aFJlAgb7kNtCizGYMJBALFYhErL4kBp6enbdtmXnulUvG8OTqoNhwOwYSLv3KN1mFdtksW\nEaQaaYszm81euXIFFrko6a4ZNWdmZnDpRqOB18xTrE2SqmKxiAcEYw7iJ5vN6tQYHIJSCsgk1GZA\nkEN3EZG9vb1f/OIXn3zyibhtynlHutMeeytT/FM2A7Sb+VkxvO3hy2ZPZ0asPTqiwRPCxMAMDAwM\nDCYSxgI7UVSrVQRvGHsAoJ2dOnUKZFH4kTWSuVwOMQAU82KHQqEAVz4SFKkejlPCa0cQjDm4UJiR\nn8lkoMA+CUiqLa73ZnybLN3hcBgKZr1eDwQC0HyhU7Pqljr71NQU6Vk3Nzdh2126dIk5YKPRCBQG\nVGbn5+cvXrz46aefisiDBw8YINFUsHpUzK/T9cicc53j3m63WYvNFgHQvv/lX/5FT0gwGHzppZew\nzY4wohyPlmWxJBnVCOMJ03oamULJclo5aoTJ0ScrrqGMmwoGg9pbSy9lMBiEQby7u4vDK5UKX0K4\nK1mCDSsfnB30dw2HQ6btkS+G/45GI86qdRxtUiAQuHLlyo0bN0R1ZIZhPb4z6xngQsRdIFUSlhnP\nICKksHrxxRdff/31a9euicj+/r7jcrho3rJQKIRXi+6BYrHYbrexD7LkceZGo0GLnE2xHbcZjS6p\nRmtmhjwx8l6vp7laWDvPlhTw25Mi51hmZ4OvhxFgJ4pnn30WtA6WZUF4XL58udVqwbfjET+AZVlc\nCpPJJPeJRqP4TpD9rHPcPVVElmX1+32E1iqVSq1WI3sQMxoikYhucYKViGz0oogn9FrTbDZ1uB4f\nMAjiSMWEz75Wq2mCPmRGiNujS0TQr5ncCr1eD36we/fu4cdUKhWPx5Fzf/PmTV73iy++wA7JZJJp\nEdoRqsXtsQtlOBwmpVO73QbvkagQkXb+aOl1/fp1npbySZffYbdEIhEKhRDq0MqEZVlM97BcPgtE\n75yjPXfa7bZOTPc8BRlrMM1tvgNfFV/xZLjwtOMbiHXx6rgdnYKhZ4nxNsdxyMYiIhcuXICqtLW1\nNX4JuOxwZn1HmohLXOHKO9Wsj91ut16vs90BRB2EEMvdSIRvuRSX/X7/0aNHSNyApIeGZymqFApy\nv9+PIHS73aai4OH0GmetxDPlRwGkUimeQas+Bk8OI8BOFKlUCo776elphP0RGsGCe/fu3fX1dQS0\nGG9A6AgZSqVSaXFxEV8X9XTLsnR+oA4UM942HA5x1KNHj/r9Pms2sScSInTk2XFJ/NjfhLq8huM4\nZBzW/HK6hQpkIXbAOBmQF5HRaMTBFwoF3hQXtXa7jahJsVicnZ1FkF+vm6LkgRyNunE8Og5B4a0f\nCv4bDofT6TTz6/RtYuPWrVv8/fz585ixlZWVQCAAYePJeSEvsCc2xuI5/V8OEm04xGVAlqOcQ/V6\nXZdz8SFyA4FAsjPj5DB0aCKMZ5TgQtCNAoEASSlDoRC75FDa0dLCbqxH5GlpTHiUBooELbT0X5kK\nyzwUy7JisZjuGoM3h49Vn8S2bTKWcZzhcDgYDDKPl9bw5ubmv/7rv4rIzZs3WQuIkjsMAxFlceuy\ncXeZTAaXQ3MyvG+tVotaJhu+4Mslh6QnrilHVY1+v08WLoMnh4mBGRgYGBhMJIwFdqKoVqvsese4\nRTKZhOUB/ZS+CF3DT0KjXq/HFDLs0Ol0yOc7HlcT1/ohxxKSsnAg0tCZjkhgB5ZzaRNHVPNl7QXi\nyOHu5wkxpLW1NWbq4xcYmtpgWllZQdgJpW9Qn3VOXaFQwA7051iW9V//9V+oCtDeV8a6RJkpeorI\nyE4eKXGjibCJI5EIrlsqlSzLQio2JgQzOT09DU1/fn7eUcz0ovgdNGc8a7A0TQlHK0of1+maDLeQ\nIGp2dpZJmDp/j9Cdcaj445zIwUPJnbi1X/QK8hKMZmGe8aRgHmGHcrmMHbLZLLPyQAWi6xHHoUvf\njv0rt30+HyOm+k32+Xzs+AoHIOxFTDWCc7T/+KYNBgNUtiFw9fHHH4vI9vY2Oa60C0FHMemRJpc0\nqZDBjgbL1e/3M+ee7oeR2z0V0CEusnPxF/qTDb4RjAA7UfCT6Ha7EFqovcU3w/AywCWv0+mwyazm\nmsJR7GaLo3w+Hz4qxh7wlcIJGY1GIQNwCIIBiI3jRw5GjrpxHNXB3eMUwo+MaaNmk40quKdt23Sn\nsPRtbW0NKwtOC+EBJkYG+UHTnslkEokEL4dTLS8vr62tYcmGoGITal5XZ6trRyjGpv02uVyu3W5D\njInqNnLr1i2eiqUOc3Nz3NOTS83/skaYf8W9e7QNJtCLmyeCHdhnR3smMQbKSIofXhR5ClQmsC5r\nRzQXSnjhKE01HybrClikhUem3w1xvbJ43zD/ODnr8Dxu51deeQWv3D/90z+xEEIThHJDlwpogToa\njfDCHx4eUniz5Gs4HBaLRT0e3EW328W9o48BfOYbGxt4cxC5JCdhPp9nMhFHnk6noa/0ej16v7Wu\nyTHIUXotDUjcarWqb3Okur0YfFMYF6KBgYGBwUTCWGAnim63S9pyy+XXaTabdOmMHwLlWhdgwrhh\nSli327VtG/YEuj7yQGygeBYZ0jMzM7olNBVkZgPCRvEEnGHZYAfov2S8pfXA/O+RCxGJRqP0nJw6\ndQpeRPTlYoo5SJg2NjaoO+ssvtFoxPyI69evw24j3fBPfvITv9/PO2J6Ak0umIN6Mj0JIIuLiz6f\nD5p4q9WiVVosFmH9kBsCOy8vL+PeSWhrqYZY2iNKri8QBPPhanMQGw8ePLh06RL+G4/HtaHDrEWa\nKTAsdBmAiFQqFe27i8fj2nTmbjoTUtz0VJzKk7eJAXQ6HdIpgS6ET4189sy70f5MPQ+NRgNvLxiq\nkEyRy+XooKYdiUswXZDZTCxe7nQ6rD/hnjgVmtVduXJlNBrBZI/H47iLcrnMjpTD4fCdd96hTcnE\nQpbk4+XHjfT7ffYpJTsXJ9C2bebxarAOGm5qOsC73a4necpxnFgspnvCGXxTGAF2oqCzvlqt4ssv\nl8tIfBIR3ehBLyjhcBiLaSwWC4VCSPxbX1/HZ0mnvLgdfj3OdEgLfJ+RSIQ+QKZLyVg/FPy3Wq2y\nRx9dHIuLi+w6SKkGfjndtBfo9/sgZELDWVyu0WjUajUceHh4iHICnA139Cd/8if/8z//A38Ls84G\ng8Ht27eRue73+999913caSAQwJoIXx+O4mru9/vL5TL8hHDNYf5XVlYYNXFckoVer1er1bC+VKtV\nunAXFhYoF3O5HP29lA3MQEOtG9ImoTfIUep3j2aAhdLv91M2gNefko9aha6yosOQG/l8vlwuI1CK\nsBb8nK1Wiw/L82hE1VEQHuenuPSbnsPj8TgbuNDhOd5eEgOgloMZw4s0Ozs73oDYw8EPaB5CBIwx\nnpmZGegijUaDD+XOnTt/+Id/SNXw888/F5FOp1MqlUCY+fOf/1x/WXyUvK7mfwLPvbgMYRRg+LFe\nr1uWBb0QxZH0GHt4UoBYLEbHr+UWZVIMj6f4GjwJjAA7UYxGI1SxhMNhlKliKcdnv76+nkqlYHCQ\npQYJvr/85S/FjYFDFIHVTdxFcOQS++r6SmYHWJYFv3+73dYKuF50eBStFl0YVK/X8bUfHh5SiOpT\nsREJ6bJEZDAY4LOH7g99tlQqMfLESB6MKlwXjFmM4uAMlmVtb29jKdHqMK+FQjcs3N1ulxU2nuxk\nXI7dSQqFwvb2NpbCWCxGOZFOp3GJM2fOxONx0r9qY4sLFldYWHie7Aw9yfjXIzYuXLigax4YSdIM\nv7SKtHFD4SEuF5e48Ses145qBENrjIcwIjsOjtaT4ONJo8df8R56SgUoYj3beAeeffZZ1F1p6Fpp\nPAv8zhnGl6KLNEQkk8nEYjFOy8HBAX6nIXtwcGDb9meffSYitVotHA5TZujJGZ8Ev98P3Qg74MOs\n1+tgjBRV1KwPRwMzcV0RVL/ARKynV1SKim66bfDkMDEwAwMDA4OJhLHAThT084RCIbgQHdXx78sv\nv4xEIqjzp99fRDqdDqIIsKKgvu3t7Z0/fx5/9fv9rHglqasmAWJ/4dXV1XfffRfRhf39fejO8N1p\nmgzmEFJ3TiQS0EDRugWJgshfB5ghPT8/3+/3YY0Nh0N483BO5qmTDrjdbp89e1ZEisVip9PBzv/9\n3//93HPPvfPOOyJCnqfTp0+zdnh9fR2H/8d//Ie4lDwiYlkWuWIJ3QSEyrtt24iULC4uOooBhO67\n2dlZOD9XV1cPDg7GGVISiQT7c2puex0S062rtZLuHO05OY7xaOhXWUv0T8I5LCI7Ozs0OukA1Nn2\njuOQ40OOpjjSgcaxHR4eMo2eNhw8t+JaHnD8otIZbw4DY6FQaHZ2lnaY43YPuXz5MqN0vBbmnwXF\nTKOnTQ9vBK1DvE5w3+H99/l8u7u7TNmF+3RzcxMNzcUlN6Hh5TFJxfVYwuBmCQf6DcFlYrm8Aag6\ngCP0/PnzbFMwGo3w5tTr9eFwSBdutVqlY4NWF687Xspi8CQwAuykgTe+Uqk8/fTT4pYZ4U+2bff7\nfa6V+IDRS4KcQ47j4PPQ1IJMQAdfgIexxnGce/fu4cdoNFoqlfCF63axrCTjNybqw15cXGSoGSsI\nxLDO3m42m1ibKpUKk5IzmQxcpvPz86xFW1lZuX//Pj9XcGsFAoEPPvgAy9/S0lKpVEIzqsePHzsu\nox2F/X/+53/iVAsLC7q9ma4Z4orMWH0oFGL+Pa6CjTNnzkCgnjp1KhgMYvUHMZWI3L9/nxwiqCvA\n2egdhczT0oUrMsWGbjiiKST0MyLVHnPQtdOP/P2WZSWTSWoAPD9z6xGb4TswXihGKQ4hMZ6KIiJw\ndkH241p+v1+nJ+C07Xabc+6ZBGBmZsY5SkJBF+64145xRDkaS2NnNU+DEsZ62f4NORHIu+GboxGP\nxzl14XAYVwTBB45COI3uXMpCRuwKhQJFfqvVQgoS9T9sO24rhkajgQMh/jHI8RA1ZnI8KGjwa2EE\n2ImC+uNgMGB6Gz+zZrOZyWSQEUdTrNfrffrppzp1DVkPq6urpBNkhgV43lj6w099YWEBn+JoNIpG\nozjbnTt3kGOmw2asx8S1YB5B2WRmQTwexyqPsmhRvFDYmWx1+/v7JP7huplOp4PBIBayVCqFrL94\nPM67aDQaHFImk6E6//jxY5omUGwty3rhhRdu3rwpbhgcl/OEE7hGJ5NJ3J02QVKpFOQxrqgTQEQk\nEAhQGOhEDA9n1Xj6w7GRfCj4noUVhcnj63IymWTRNEW+o/pG8nKatQiPBgqHh5QPY+bk27bNkegO\nqxRmkCV4LqSslKNLsCfgB9uF3a1GqosjhDRs97m5OY6B/WVgv0J2gkCST4EjZwU65DRmCVkwuAoT\nixggtG17ZmaGkzY/Pw9KaP1NdbtdvJ/asgyHw4z1guJLjpJjTU1NaWay8SeYSCTwLSBa2HiJ7wAA\nDOhJREFURkWK+UGNRoNn8+idBk8CEwMzMDAwMJhIGAvsREF3SiqVYjmXuLobSEthLiwvL0PzRZdb\neAgRjYAtdXBwwD6WnU4HNkS3202n0/SeMYKVTCah+VYqFeqJvMRgMLBtG79Ho1Gd+QZ/i7YP0AAF\ndB60maDtIiQGpxMVXkQOSqXS/v7+q6++KiL1ep3FWDSV/H7/1atXoRrDY8N8azahYHsLhrVGoxF7\ngugsOI8FxsH3+30SEZH9PZfLYSbRmRq2Szwe100v6S2kvswKKp1+zXnTF9Wp5JomitC2skan04H+\njjAPPXXkfGJgDCmIGOT09PTh4SGtYXqJQ6EQdPx0Os08PT0GvU0/HrPYOcm8fRGZmZmhR86zg+MW\nKbI/J2xHOMCHw+HLL78sIv/8z//c6/XgiNMGbjQaHadWgreWbkzYyvBAMPbGN5kgmT3Q7XaRy1ou\nl3XpAr0I2WwW98KkQd0YRY66N1lFRzvSUn2F9Mg5M4wR7O7u0hqjq9bgG8EIsBMF8wXEDX2nUilm\nq+PfS5cuiSq9CgaDly5dgsfs9u3bzWYTy5CmrhFFbc7FXedYd7tdXO7HP/6xqDWCTEWeb570Npq0\njVnyxWKRKdH8Vin5Wq2W9nFhOxqNJhKJu3fvisjp06fz+TyW5mAwyPBeMBiEt/DOnTvVahVNtkaj\nEdbZzc3NpaUlrDKLi4voyjEcDqvVKmTS5uYmpQ7dNWjZzCUvFArBa8ooUSgUSqfTVAXIOcl8BCxt\nXNAtle/OKgXHcTBRDJWJUla0hPNkc/BPntIuxy3s5ZTyR4YSMWnwJ2MpZ+svxsP4sun4VqfTgZs6\nFouFw2Ht6qSPi4PxVEfoZgUiUq/XyfiHOfc4Tvv9frvdhhITjUabzSbOEIlEkIkzPT3darXYAcBx\nHLhAPdJLXxc3q8sVeKc4inXK+NO4IMTTzOfzKDYQkYWFBVwC7d88cloU/SOf1HA4JPcbnvh4JZxt\n23glUCVC1zrrKyjMhsMhX0KDJ4dxIRoYGBgYTCSMBfZ/A8flUoKKijbNrVaLfLWWam45NTVFclX6\nGcixZNu2Dv9qc4qKXq/XYwtdplZbx7X4gv4+ztQuroKJrsfQarPZLPuBsWaz1WqR55R2ZL/fLxaL\n0MTX19enp6eR786i5mw26/f7Ya6BcAE+T2Y81mq1u3fvgjFod3cXBcs7Ozvs6YwNJoAxlXxpaQl6\ndCQSoZJLWwFJ3uNKOjLTOGM6R8PjA9T/xeRrw0u+okUAZhKTMDc31+v1NF0ID9H59BhwKBTq9/vM\nzoBBCVtNW58wU8Da5XmCmo722EwTTe4srstLE4DxRvA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"output_type": "display_data"}], "prompt_number": 40, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(clamp(x));"]}, {"source": ["__Exercise 4__\n", "\n", "Compare the Newton descent with the gradient descent with a fixed step\n", "size, in term of decay of the energy."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 41, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo4()"]}, {"collapsed": false, "outputs": [], "prompt_number": 42, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 5__\n", "\n", "The direct comparison between gradient method and Newton is not fair in\n", "term of iteration count. Indeed, and iteration of Newton requires\n", "several steps of conjugate gradient, which takes some time.\n", "Try to set-up a fair comparison benchmark that takes into account the\n", "runing time of the methods. Pay a particular attention to the number of\n", "steps (or the tolerance criterion) that parameterize |cgs|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 43, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo5()"]}, {"collapsed": false, "outputs": [], "prompt_number": 44, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}], "metadata": {}}], "nbformat": 3, "metadata": {"kernelspec": {"name": "matlab_kernel", "language": "matlab", "display_name": "Matlab"}, "language_info": {"mimetype": "text/x-matlab", "name": "matlab", "file_extension": ".m", "help_links": [{"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md", "text": "MetaKernel Magics"}]}}}