{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Multiplicative Cascade Synthesis of Signals and Textures\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 numerical tour explores multifractal signal and texture synthesis.\n", "\n", "\n", "This tour is written by Pierre Chainais and Gabriel Peyr .\n", "\n", "\n", "The processes we deal with belong to the family of _Infinitely Divisible Cascades_ (IDC).\n", "Only the simulation of the subfamily of _Compound Poisson Cascades_ (CPC) is really simple\n", "to implement in 1D, 2D or even ND. Indeed, the synthesis of CPC can be understood as the\n", "product of a random number of indicator function of balls (of a 1D segment or a 2D ball)\n", "with randomized radius and randomized amplitude.\n", "\n", "\n", "If the distribution of the amplitudes and radii is well chosen, this\n", "leads to the synthesis of a function that is the density of a\n", "positive *scale invariant* measure. More precisely, this measure is *multifractal*.\n", "\n", "\n", "To obtain the final measure signal/image, the simulated measure density is integrated\n", "or pseudo-integrated thanks to some scale invariant low-pass filtering in the Fourier domain.\n", "\n", "\n", "The application of cascade for texture synthesis is detailed in\n", "\n", "\n", "_Infinitely divisible cascades to model the statistics of natural images_,\n", "P. Chainais, IEEE Trans. on Pattern Analysis and Machine Intelligence,\n", "Vol. 29 no 12, Dec. 2007.\n", "\n", "\n", "Visit the homepage of for additional information and softwares."], "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('toolbox_graph')\n", "addpath('solutions/graphics_4_multiplicative_cascade')"]}, {"source": ["1D Multiplicative Cascades\n", "--------------------------\n", "We consider here the synthesis of 1D signals using multiplicative\n", "compound Poisson cascades (CPC).\n", "\n", "\n", "Duration of the simulation : [0, T]"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["T = 10;"]}, {"source": ["Resolution of the cascade (the smallest scale at which details will be added)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["rmin = 0.02;"]}, {"source": ["Sampling period of the simulation. Number of points."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Delta_t = rmin/2;\n", "n = T/Delta_t+1;"]}, {"source": ["Number of multipliers Wi."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["lambda = (1/rmin-1)*(T+1); % to ensure scale invariance, scales are distributed as 1/r^2.\n", "N = round(lambda);"]}, {"source": ["N = poissrnd(N,1,1); % rigorously, N is a Poisson r.v. of expectation lambda\n", "\n", "\n", "Time positions of the Poisson point process in the time/scale plane\n", "are uniformly distributed to ensure stationarity. Side effects are avoided by extending\n", "the cascade to [-1/2, 0] and [T T+1/2]."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["ti = -1/2+rand(1,N) * (T+1);\n", "ti_1 = -1/2+rand(1,round(T+1))*(T+1);\n", "ti = [ti_1 ti]; % for exact scale invariance"]}, {"source": ["Scales ri of the points.\n", "Should be distributed according to dr/r^2, to have scale invariance."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["umax = 1/rmin-1;\n", "ui = [zeros(1,length(ti_1)) rand(1,N) * umax ]; % ui = 1/ri-1\n", "ri = (1+ui).^(-1);"]}, {"source": ["Display the Poisson point process in the scale-space plane."], "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": ["figure(1)\n", "clf\n", "plot(ti, ri, '.')\n", "axis([-1/2,T+1/2,0,1]);"]}, {"source": ["Parameters for the law of multipliers Wi (Wi>0).\n", "Here we choose a log-normal law. Another simple possible choice\n", "is to set Wi=2/3 for all the Wi."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["sigma2 = 0.2;\n", "mu = -sigma2/2;"]}, {"source": ["Condition of non-degeneracy:"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["if -(exp(2*(sigma2+mu))-1)<-1\n", " disp('Be careful ! This cascade will degenerate as rmin -> 0 !')\n", "end"]}, {"source": ["Random log-normal multipliers."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["N = length(ti); % the number of multipliers = number of time-scale points.\n", "Wi = exp( randn(N,1)*sqrt(sigma2)+mu );"]}, {"source": ["Positions along time axis."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["t = linspace(0,T,n);"]}, {"source": ["Initialize the signal and normalize the measure."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["H1 = 1 - exp(mu+sigma2/2);\n", "f = ones(n,1) * exp(H1) / rmin^H1;"]}, {"source": ["We show here the first step of the multiplicative cascade:\n", "iterations are on the multipliers (ti,ri,Wi).\n", "\n", "\n", "Select the points in the cone of influence of |(ti(1),ri(1))|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["i = 1;\n", "I = find(abs(t-ti(i))<=ri(i)/2); % t belongs to a disk centered on ti(i)"]}, {"source": ["Perform the multiplication with the random multiplier."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f(I) = f(I) * Wi(i);"]}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nEjAAkgQMgCQBAyBJwABI+j9xoMm+waTvEAAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf\n", "plot(t,f)\n", "axis([0 T 0 1.1*max(f)])"]}, {"source": ["__Exercise 1__\n", "\n", "Perform the cascade. Display intermediate steps."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the random measure."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["figure(1)\n", "clf\n", "plot(t,f)\n", "axis([0 T 0 1.1*max(f)])"]}, {"source": ["__Exercise 2__\n", "\n", "Compute several realization for the same log-normal parameters."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 3__\n", "\n", "Compute realizations for different log-normal parameters |mu| and |sigma2|.\n", "Use the same distribution of points."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["2D Multiplicative Cascades\n", "--------------------------\n", "To generate 2D cascade, one needs to throw points on a 3D scale space\n", "domain.\n", "\n", "\n", "Size of the image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 128;"]}, {"source": ["Minimum scale, should be roughly |1/n|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["rmin = 1/n;"]}, {"source": ["Maximum scale."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 27, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Xmax = 1;\n", "Ymax = 1;"]}, {"source": ["Number of points in the cascade."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["lambda = 2/pi*(1/rmin^2-1)*(Xmax+1)*(Ymax+1); % density g(r)dr=4/pi/r^3 dr\n", "N = round(lambda); % should be a Poisson r.v. with expectation lambda."]}, {"source": ["Scale of the points.\n", "Should be distributed according to 1/height^3, to have scaling\n", "invariance."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 29, "cell_type": "code", "language": "python", "metadata": {}, "input": ["umax = (1/rmin^2-1); % u will be a uniform variable in [0 1/rmin^2-1]\n", "ui = rand(1,N) * umax;\n", "ri = (1/rmin^2-ui).^(-1/2);"]}, {"source": ["Position of the points."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 30, "cell_type": "code", "language": "python", "metadata": {}, "input": ["xi = -1/2 + rand(1,N) * (Xmax+1);\n", "yi = -1/2 + rand(1,N) * (Ymax+1);"]}, {"source": ["Display the points in the scale-space plane."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 31, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf\n", "h = plot3(xi, yi, ri, '.');\n", "axis([-1/2,Xmax+1/2,-1/2,Ymax+1/2,0,1]);"]}, {"source": ["Parameters for the log-normal law."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 32, "cell_type": "code", "language": "python", "metadata": {}, "input": ["sigma2 = 0.08;\n", "mu = -sigma2/2;"]}, {"source": ["Random log-normal multipliers."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 33, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Wi = exp( randn(N,1)*sqrt(sigma2)+mu );"]}, {"source": ["Position in the X/Y plane.\n", "We enlarge the square in order to be able to use periodic boundary\n", "conditons."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 34, "cell_type": "code", "language": "python", "metadata": {}, "input": ["x = linspace(0,Xmax,n);\n", "y = linspace(0,Ymax,n);\n", "[X,Y]= meshgrid(x,y);"]}, {"source": ["Initialization and normalization of the image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 35, "cell_type": "code", "language": "python", "metadata": {}, "input": ["H1 = 1 - exp(mu+sigma2/2);\n", "f = ones(n)/rmin^H1;"]}, {"source": ["We give here the example of the first mutiplication.\n", "\n", "\n", "Localization of the signal locations that are influenced by the\n", "scale/space point indexed by |(xi(1),yi(1),ri(1))|.\n", "This corresponds to the intersection of the image plane and a cone of influence."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 36, "cell_type": "code", "language": "python", "metadata": {}, "input": ["i = 1;\n", "I = find( (X-xi(i)).^2+(Y-yi(i)).^2 <=ri(i)^2/4 );"]}, {"source": ["Multiplication of the image with the random multiplier."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 37, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f(I) = f(I) * Wi(i);"]}, {"source": ["__Exercise 4__\n", "\n", "Perform the full cascade, display intermediate steps."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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mtqjAw4eqM18LKjK8UCikFQ7Fm/+xWEwz6PVzEdYRj8eJohSR4XCI7sWvxuMx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baDWKXLcrk8HA7T6bSZaQGDBGmlMy1zc3OdTqfX64VCoX6/z0JCZIvBgF6vx4OtVgvi0Hq9rlUE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\n", "output_type": "display_data"}], "prompt_number": 38, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo4()"]}, {"collapsed": false, "outputs": [], "prompt_number": 39, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the image. It corresponds to a 2D multi-fractal measure."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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C5qQ3o97SNEqauWuiIFGSC7V10TROCKRITJS87LLLxiTWMUyTyDAg2hQlZbFMeJ+uoSrD\nrJk35gjfv6xBA2f4S+prhnmZCpexdxaVxSQuCeD8XWAoZk0K56233qqPLAxzXORPjIxZNCEtfUPM\nliyZei9/lRovBqST5tn49NNPLzVRdqU7sFJKKaukX2CllFJWSb0QtwryBfKU1AZEGBShL3/5y7qQ\nLIPk8vjjj1udJh5SlWmMSwdgQipIVGXhqIiTHHU4j2WMce211+rikUce0YVypaMgLZEBrRa5zCjy\n5ENd5JmBpACXbJv6ngl9eIqmKqvOIEJiMUtwZad0jvBXRBBbSt+VYbloTTZ9VCVfu7EjQqa3HsO0\nEGAsbGJsgkJo+nauHIM+kzKfRzTATJBGZzQdDAfxDc1Qkin3Dx48aOM6derU3Af+six/P6amAH+M\nsphFRid5fCu/FKj//EFlEvoNvq9lA92BlVJKWSXdgW0VXs14i9ebNa+H7FF4RV1yoLD9Ae/svD/a\n7+TpJ2LJfPlI03RGP2tnXqh9+/ZZoyL9RPQzPp4FBIpZHqPM1QuWeTb9I/RPNM3Lr/UhoU7bDQO7\nAfNVwQXDtiwb0n2pcnYJ/GhvmzbtosZusUcqyezTebxdNExLoLUrsiEbEfY0Z8+enYsxulyE6tXS\nEVyQO07QHi4jq0DbI6aASWSjfODAgTHGmTNn5vIz2jBhh7SMHfeVebwsei/Rs+ayMWItERWXW7Sl\ngLmyme7ASimlrJJ+gZVSSlkllRC3Cj/Fg0QGhBG0ODtbHTWPH6tNKllKzjR2lKJ0KDD3BwpkrnR1\nG60pQ8rUBHrIo48+qotDhw7NnfzCF76gCxRUxqVnGfXSuV8UwGLmDgB5OP1SVJaJq6le0hlLU5Rx\nPyYEMQV2Utr58+fnFucm7PCqPNVMjaZIxR2T6fhoEXVcMAWUpDOqk8laOscgtWVzWkmTWiopCqRK\nKdmZAiz7yy+/fC6G3Hfy5EldEM6lzuSJemALI4+akx3QdSnP2ssD8OYHx86s4brFMDfIs+VS6A6s\nlFLKKukXWCmllFVSCXGr4IZnOgYCSPrvSYXgPhKKHQkIyBp2BqaJVCN0qkzvZJ1MjzhLhIMGhb5n\nZwOakjYmWcYOFbzoMBmFeQAyakvnT6OZScjqzCgui++hZuyAodRExlEh/F555ZVjCo/LxFePPfbY\n/CB9MBdKOklnuJBUiGCIodA/r7jiivmOnes4JiFU4+JBGmVSJGBmPnvTDFMf4xENkAI0QaMqYPn+\nR0jo6NspY2oU2XkGrqWVIjym0+xg0hyFnRnLwZ6I6vony0k/LsGBs2ymO7BSSimrpF9gpZRSVkkl\nxK1ixzOO0BCWAnhRkNID0KSw9NdaEt/swfQxs87YEYIbuk1JJFNzrkPnwS/LFKENqfGXuOi5CpYQ\nK10EzRsT6Jt6lSKV6ZmmTY1pmJJMURSfeOIJXZjrYKYW47hF/VOuE5ASiOuguS+OKQGYUoKl3ovv\nqLxGaSvTHUnQy/hcc56kM3leqwrY4QwzqtPSX811Sn6k5jzxQCHPLEXk+rSM1YBl9EeKHZgUO5g0\nFy2NCmqQkjwmn8ny1dEdWCmllFXSHdhWyddDvcTxppY5W/VOupRfdey81vFyx6uopcHlflalJpZS\nlI6IwcoTpFQg08Kyv1RJdiq8q+71OLrMRWQ/jBNIlztRayt/k9cs5E4U06kqKmQjRSiVSmbeZOZX\nWy7Mksl8tZuhRbYmluhog6+KvfUDTZgd2MrkSWkaV25VrTMW7TRiP70hkfTSVjIj4QxyVZMBS2Bb\nC7HKMDhq1h3uU6FZkqWVblBaCSwD/rppQtNKhffdd58NZylIsWymO7BSSimrpF9gpZRSVkklxK3C\nj/NIQ5aEKTUWKSGZ5odfzu1n8ERNpBSTKXOWUIH8Id1UmszCviRbLSmHefa8CZ70gTPJLD89Opgl\nyB87xs+c4qbCZcidhTeh9qBKYUCrnL5RwKaJ2TRdK2fELIaFMRQD11Kh84wu45zkGEJad5qgKnWP\n8ri3sIzVeuaSt4WRfjF0W73CpHlmwhKmuWVAlbnekFmKC0LK9CwLhr5hEPngMIp0WtG8M+pU6TXv\nr3vd6/TxtttusyZw0il7ojuwUkopq6RfYKWUUlbJs/bqBlb+JzznOc/RBeKD+XExHWhKElXSr8+y\nEGU+bAosJTgH8yEESqoJlJPMX246J9qaJbbPYB0TAJF9lgRPKsyMUHJHpGkEoiVvTLC5YJjmYzl2\nLJmHSZpXHs5mKVfadJvMNSIZlXnKcSedDyGdCQ0CoSxuKXPqa+A0jXKIkbUSWJNYBv9MiW95yKTF\n0uXJn0tY0N7Ysfb+/fv1MS2j8S4lSBtj3HDDDWOM48eP6+MLXvACXeDoaOI5dqMt9QEREvs897nP\n1YUWZwbSsUIUhJe6d9lMd2CllFJWSb/ASimlrJJ6IW4VhC/LjZ3K4RIp+VqMsGmPsCRGQTqAmQDI\ng+mOZeSRmFJdkJJwxjMHthQhwVIoZTCp5CwKoONRQOpcCqEWuZy+ZKmAGSYxUXPmrddFWtI8/SwP\n+lyDniV8G1XK5EoSoic2a7SFex5CltrCkunHqG7QN2RbxLclB1eq0rRiscx/ZsJvaozPfvazs8Ix\neVdaqnjy1vPIU089Nd9nODmP4vDhw7ogE5h6iwEzaPrJJ58ck7pL3zIovuyJ7sBKKaWsku7AtsoX\nv/hFXfAuZj9ig+2T8hAj3rj1Br3hUHarfOll1k69GtPrvx6hxczSpGfzrCZ2GHqWj7k10Ws+r65s\nIOyordx48Yu6qmIUebyZZQxidPRKj9Bixj+pcgyYSZuUCSx3ydaZ3ONyoSZyNjO0zsgMWPYgw2Gj\nYD4FL3vZy3Tx9NNP6+LBBx8c02RdfvnluuA8M3Uvd0W2601VwHKqbVAgNK22IRtj7Nu3bx4FmYiV\ngHhMkYJajbhmMBd5hJgg8zIrRLs6ZAPshm31CNtifDfyz3bX0Y2NcZxlA92BlVJKWSX9AiullLJK\nKiFulfyhWBcbJBSJJykQLWVpgszfIxBMuNCv+heVcWAp2XbWjHIiGSp1EjppqXT4KR6k52SUD53R\nxYbjvnRBFFTaR8PJRO92ihX301ASlzZ4f+jZDJwyMp2VhdAxClhyqMEOFDD/jmuuuUYX1PnWt75V\nF5IQkbtxzTAlMHPnm0ydMqYpvWlqq4H1wElaeJron1ii2NZSZGFSxnvmzBldoPjN5ce0lmz9Myk8\nKNNxP91hls57ww4ZIlYuhe7ASimlrJJ+gZVSSlklTSW1VYj2QENAlhE4tjEvdqBlptKR2IIYldKi\ntKM8hdLCuThLMw9fNwGEmpFrTKWhvPkxbkiAZDUD45Xp8DnM7N3qv2WWGpOwk9m2DAlclh9rhNdl\n5p7HYvJG23D6qCWbtzPpk3TwUx/SZRTNTdOKDx4CID6iHNioRhUFNSbh67HHHtOFxMaUczG+KkdK\nffjhh+dhjkhGZfnPRmiMXODxqOHkyQA4rKpO+3uZ72h2MvaOcUnYx9QnT560JrRuqYGaFYI2dpYW\nMiC/FJjpUnPGIPpTOnXq1Ch7oTuwUkopq6RfYKWUUlZJvRC3SmYKN30PltI4pUIilQZ1LjOgSwgi\n7U2mjJJ2lOIMdUprSh9CazQ1NyNFGCQUOXSh8nHfIp3PnTunj/jUmX8moo35eTJey8k0It1Rpqtn\nXGoL+yBGob4KyxM24rRJ+owBOaYA3zkbHVVJGkWCI90RptO4GCYK4WWXXaYLFEI9m+olvZK+jX3o\npHk80gReeYhpUsaQmqnZUkbl2arMgjqJvIl9eMTOa81FqH86dOiQDZ95lDGvvvpqfXz00Ud1wfza\nek6fSYFqzSK0BX/ttdeO/w5N4BJZ9kR3YKWUUlZJv8BKKaWsknohbhViSC2VH+pc5oy3gxyBR6RC\npAhj0ZewpO+hvSCMoEpJwDGhbO6kBbRmJO/SmZmIUeoVLeIpR14+DQdxhuFbFkHIcwvVmfRns7z1\n9MF8L3kWMer8+fO6YNYsaSRYQHd6o9kdRpe+c1pCFEgx1gaO3pWHZMoCBPZiGZOv0+ETi0kqZGHY\nMZW0nrkxqUE5DJExWSF0W5UjIWbywKuuumrspHsf0/SxtOQTyH0eNBWaUaN/Wg5MciQyHFajJGLm\n/frrr9cFbopy6EVrJTEjFtMofvu3f3uUvdAdWCmllFXSHdhW4Wdwe03O3OoUsK0J8MKoN8rMJGQz\ny+skb6B4FlhneMm1tFXsSHIjpRfJpaPIqCEfZFwaOF0iBM22C3ykMxYAxKu9+W6MnRdn3nl5fbas\nRXRy6YgAOkmiIDY38gvIrQyWUUlmeWk3TA04GjC/lq6eYfKIBYoxCnYDoC0F46UAF+onfiK5NdH+\niT7QSUvoxQKjMxaMlbte+q/wNSaLJtj2aQHkZIGq4sF00tm/f/+Y4uSIA0MGUG9zD2f7xaNHj1rN\n1KBHWDC0dezYMV1om/vhD394aRRlV7oDK6WUskr6BVZKKWWVNA5sqxCLw+//JlsBP2JbHBgCiB1b\nnloTKo3lRDePgxEiTOqZ+icqTPcQ07WoyqQhRoEIY4ntEQDzOEoF2aC9pIeFdKoMJMIg6jY5ijJR\nlgyFzmPJmRgmoUgZnGdhXulgYkFaGRAm8vxGUkPJWyHdQExTTSE0D1eUPwj6HjIda0nnrzJZGTGm\nGnJNgi0VLEmyJYGh6AwDVK8YXTrIaGHQ9JJ+S82Z6EtnYLJOSHgPprFjEEra0aaUJ/hSA7djDWb4\nn6Hsie7ASimlrJJ+gZVSSlkllRC3Csoh2pG0BeLDMpJGCglZajLPk6SwDBgyCRFpBTVmKTs7TZsI\ng8aSpymqKsQZJBSELDu3MNPV61lCjuz8xrGjHaVyaKPIMyRRHVUVOXvQEjkiQFJSSqwW7pahV5g6\nPdysBlmALlm009hZCQhlzLvUvBGCWFpS3aMnqU4zfXKnpPMXLlywXkkAzNz5dkgmU6BgpoTRUcPS\nWZFgucTw/LQYNf4Jz8nMySSDEMWVnpACZ0vUWv7W1O2Mj2RcqiodXwn8kjsis8YU3HDDDbp485vf\nvKsdyma6AyullLJK+gVWSilllVRC3Cr4cVlmd8QKvLMoIOkj482JiZYeld53IHUu89/YSY+IM1yg\nSkkbQQBJfzZJKJneic5IGdsQbaoBouqQOghUeQpitCXbmro1Jp1H4tsVV1xhBchCpD4goGEoC+g2\n6WlMQp8kUGY5RVpZMt0X6baGmXNhbplpyTzIVJAhnvvMmh2/aQngx85E26EEc1Vat6wT4nY5pvXw\n4cNjku/gxIkTukhjWhNqnQoxHcnjtf4PHDigj6j0CHrEX1sNSz6Bjz/+uC5YhHYsJzXT+aUm+JPR\nBXZAtebiox/96Bjjlltu2cUWZZnuwEoppayS7sC2Cr/eWwIkXqh5+aXkwYMHx/TuxtufpVhlP5Gx\nOAoxISSFAuww9IKZuwHQeyK/PGckjeCH9KVf5oGNBcPUT/G586AzusA+/KpvAXMJBTRAXqtxi7BG\nM62Rxejk2VSEjolMagyqE8szHDqpNK9Md9pBo1jamVlDuxbAk0JlLJPWiHRcLIx0LVHlbPLYJ0Hu\nvQTTp8pZBmABYRkYd/bsWV1oS23b6DGtB1VOiyxOi0E0h6Mx/aWYXsJ6MH8QbJ5pr3WH/RagB6Tz\nUbkUugMrpZSySvoFVkopZZVUQtwqmUPdyFQ6kv4QndJBQPIFYhSKEG1J6UJjRKwg+ExSSUooSEaW\nvycDpAzUG7QmSSgZQYWwIyiQisqSEwduLyZDYUnzpHjwwQd1gUEstoyPdBKxUf+UUip9kJaYQqjJ\nd0hSDBNL4kEgmCPL9J8nrplcaWn+RzizjAjzygxYkshoAgXMTMrywDKcd6U76QZiMBeMF3VOBsmj\nA+DcuXNjtzT2IMk38/djB1kg7cPflDqDQv62t71NF3/8x388WyDTXHFH/acJhoMKvaS1ls10B1ZK\nKWWV9AuslFLKKqmEuFXQNywfeWpNdt455Tdk/hYIPqZSolqgkCD4SNhBtKGTFgdGH1DnLF09mDgD\nG46jVEkkFyKK0FjkGodOyDAtUxT2wZXO0rGb7+WMBo5hsQMKmGUlp/NYUnWaujv3QTVkFJctDDpP\nixjfEv8v+V7mLKdErDIbEr1rfm3UYzKIsi6dOnVKH1GMmUMGIysAACAASURBVD75Cj799NPWW9pS\nBBWOnQzTnEvzvFadpTliHpFnmWg1wWRhW+7YAHP9qyqW3J/+6Z/qglhM9QFPSNwUEV1x1BTYR9nL\nxm450sql0B1YKaWUVdIvsFJKKaukEuJWQeAyR74MJjWtDA+ojJGUTIHHVKqUVmE6NFrN6YUlX8Hs\nJEiEQZNBSrK89Zlix3wmuY8ag/ZigduWB2tEWC5BtYgzS3qmeTymYIiHmPqPLkRbyFZ28mcGEesi\nkxIZGVRODZo+ZtmSGFF5JkwCxqvKmTU8QhFR5RNIeXQ/Bigd7+jRo/qYyfXVBKodK4pG1UQmZ7Jk\n85a8aoR2uuTWO3ZmgQIsexrVBRVakgHuMBd2IujYWWMse/7WWP+6Y36/Y5q+POKyXArdgZVSSlkl\nz9rw5lL+r8MZVPnjvMj3Zb0Y8tLHy77lWOIN3d6vx84baGa5paTeSfOsJt5A9WM1NdBnHrEkTLz+\n8066lACJd3O9ojJ8fh5nferlnT5bgih6Rc1UZeFN+aprOzPejnO/qJKWwnhGBuFBOpOxVuKi4Vxs\nF6yTnFnFyz7BauqVnQY3j8JcSKiZtrjQI7k1N5eKPECOfbNmIfcZ7LDVOn3I3a2ldcZ3gwKqnL6l\nN4TZ3BbM2LEVfcB05mpE3xjF7/zO7+jij/7oj8YYH/nIR/QRJw5KahOfx/6BSlJDuUS6AyullLJK\n+gVWSilllVRC3Cr4YqDnyP55VhOYj0YG5Qh0j8yUI5CS8hgkyxiUAVISrJCSyJwEynfFKGg6029b\nJ2lLraNBWb7zEVFKmcVKNaRqB2ZqhDI7OSwVVNqS4IkBsRi9lY6XwUzmlEGLVGVKMp1MQUwrhIWE\nFocYKwkUsZpM+RjQNFWaSEVU3aZvuP+wCOVhwcLApEeOHNHF6dOn52FSAO8G2RBL0hlzFKJpfHms\nt6nBotepLe5TFbNmziz2t4kFsDmjo4n7779/TKnluTh+/Lg9YpA5TKFyhIWVS6Q7sFJKKaukX2Cl\nlFJWSePAvjaYwJXyBVqK3MzSj8uil9B50F7Mdw4dzPKajx1hJzMngdpCD0Q5eeqpp+YmMiEW3Uau\nsSZworOgNEaH12UGnxmW7ydzq1sN6WRoQVoYhMmSCocGhdiIwCtxNTVGU+Eynb/ld09MzkJ6opPU\nsG/fvnlQOa00qjrR4jKU0IbPXFCDxMMcL76CIhOA0YT6kLnHzKsQr9Q8bdIqzHWiOpkCtFZToXEd\n5E8PQc+UcM7SRM+88cYbxxgXLlywpnGhVEmaILKwcWD/Q7oDK6WUskr6BVZKKWWVVELcKunzKVEl\ndR6kEmlBG8IzpZmgnGSMpOU3QkKxDPfoG3iI0YSSZ+PG9thjj82dHyG+LcGgLAk9nTThdESOfAvf\nnlH3KI8diPmVw96GNE5Lfpvmjpguc6C25JM5N2Fpq5aCrEfId7lgZEOTZMdkW8l6tIiLIMKvNUEE\ndKbA1wBN7huhAFtGpbkGrSUeZAktnWyJbc0nlk7SFn2wdGW0heApsNiSFo3siVxJE2TTF6woUOA2\n855VSULM9GZXXXWVjbfsie7ASimlrJLGgW0VftS1qCzLaTsiGmkpRic/Zl4fS0XKy6/9ck4uV/pg\nDhS5ZSHGSO+qvF/nO7vCkviVO0Os1IdMpMudpXOwLLkUD+KSYNsgC+qa0bO0SOfNMSTdYcCyduUp\nbrbz4L7titiAgmVvYruMLwOzpnk8c+bMrjWPWIRZgNbNtYRAKAaonceVV16pjxj/gQce0IX2Ihsc\napYyLFtvcZxh1lhLtgOzPFiQGdTM/4WalzZDGUDGLKgqdocE59l0I11k8mK5dVjG6nJRugMrpZSy\nSvoFVkopZZVUQtwqGe0h+6NmZHCSPYISgr4nASTjn5AvVICPFOAXZgWjIOYglbzlLW/RxaOPPjrG\n+NznPqeP+TO4mkj/EVMIU0pCMlIN5ODJY89UVTaNfSTL5Hq2Y8xSpKKAZUZnCkwqzD5gfJVMgQhU\nOX1ArLNz7tHuqDmzT9l9GpWESKRRHi22lN+LmCQ7z2z//v36+KUvfUkXeDHIuyEXLUtI+h4FuI/a\nrO4tnc02diyTncdE0rFzRfEHIhEylUMu7KCDPEBOJVMQZtYUe5eiNOgRppvhHz58WBdKRnXu3Lml\nGsqudAdWSilllfQLrJRSyiqphLhV8lRysZSEG1J8Q42R8rNhHuU0lefBZ6+sZjvPPk+vt0AonBIB\nwUfOcsg+jALXR/0TflyIUagudpgkKhbjkmSUfm5LToOmYo0dESnTO3FHcmWqtSY2ZhJ6DCUT8fHA\ngQO6IGuRklGlJXnEJOV0DcWk1vk86jPj2ATHUUp8u++++/QRuZLxyoZLrrNjx0R52iqCtsX/UbMp\nfpYXbUxLZemIAAYu1z6WfaYxU1VIjim6auC4O+ZpA8eOHRuTR+jVV1+tC9wR1T26REkODVCB22+/\nfZS90B1YKaWUVdIvsFJKKaukqaS2SubM1p0M7AWVTIUQPz1pIxsc/KR4bIjPtXTdeJ1ZgVe/+tX6\n+JGPfEQX1Kl41ZQ3Ga8UkkwEZUnTU93KoGBBHCsFzA70DeVTtlVarLlpc1NE3UpnM+sDBYhs1bmF\nDz30kJXnQuOiQnIU2REBKRha4HaeeLmUz55OEoZskb+AZRAwpQC/4AUv0Ed0TstnjxaXq1R6Jupc\nRhlrXJZafh6vSvIRtz1srjMzM9E7nZEFLBJ8TPq2SqZ7KjXon/jI8raqMHUGLIt01yz/Q7oDK6WU\nskrqxLFVeHezX7kh90l6JbektyNOo8/Xw0x3azXza79qoGaCsUAv77y558HnlmmX3YAlo6JpLtii\n6QU5+8w7uzZ5vNLa3m7svN7KCWK+b6YmkRLDsV/1ednPH/NFbt3IpaTxsiPJpL3C/CzmR7SxIETv\nooFBjJdEsaqBUZAuluRS9Er/xNFigG3N34e9LBsmm1ZqtknJ475s42hZoUd40LDBoi3uKIorj8Ez\nMksTezJdMDqaYKMstYPyS5mIgeHjoyGYIza7hNapUU4aK5dId2CllFJWSb/ASimlrJI6cWwVc4sY\nO9IBogQCF4KGQm0Qc1JDkxqTEWbUIOnDktOPiOvKYB2qknyXv9Wb2pZHbdnxZiklLeXUz07qTtph\nKbTOgtgg0/mYvsfwacu8PJC/aBHHAUGIUoZzCc6LQgdDrdIjGbSHJaVSZsIkXBIs71G6bFi6plwY\nFq1Fb7GDTWvOBRqp9ZZ1ThOyla32EV5O6aJCiJVEVHw6ODkMdAdXFHQ8O6WMPjNeplX/ZDLvCC2R\n+8w7nZFlcLzKUMKlmLyyme7ASimlrJJ+gZVSSlkllRC3SvrOSTvKSCPTtRArkKeQI6TLpXcikoju\nZJIqy7pEi0goRA6p27S4lI7dXArn4WiAKEVoUBlSMw9qHo4kMmowWW/EcZTIWSg/KpkyJkdfqk5U\nOyYFIUjOgQwKXYuBq05EKiLqaMICnuzY+xGRVcCDyqGVk4U74jzYMUmIDIfOKIIqPQMpoMW2lN6M\nbvBguueZD23OmsCSjItpkqhOgZTptCTsWIMZ+wPBDvwpqQYsmTq2pgN5fwl8R6nZ/HVT+DUn27JX\nugMrpZSySvoFVkopZZVUQtwqGW4sDQF1IjUW6TN4ZyGRIVtJOkNy4b4lwoH0NrT8VehXlnwIPzfk\nDgtHTUEMNK48StG0FPpMQnQ0Q8lQea7jUi4lRkdJWSZFy/S+s6axubS1lDdN70VBSm9Mmyy0NeZX\n5ByZ4GmJxMYUwCuxkQeZRNJWUbmqwqSZvksrhxWVwqamKVVKhqNnNxwm+dRTT82jwDJUpcqR2s6f\nP68LbC5r04dMeC/jY5/MfK9xZSopc/RluhkdhwkIVE06wyO6Q984S8H07bJXugMrpZSySroD+9rA\nC6bevHh3s2CmsfOmSbKiPJRLL63s4dhhkO7WEgLlK6reKC1D65je2QUv5iTIYSumf9pwFpfeNPM1\nk9/krTxvx4yXbY1YcgPBgOx+8G5QSfYuS7BluWgiKHYDWFhNsK3MDElWFbsBXuq1H6JC/EcsToio\nJjIkWQGcPtiYstPin5TQiI80iu+JBaVhUqrS7DA6JoUL2TDTetnOgxqo2dYS9y1/NN2jQP4FWRJn\n1hg5tGxpZUIszRp24D6JvvTnSbIu/kAYplYCa5W/rAwALXuiO7BSSimrpF9gpZRSVkmz0W8VEr2j\nxlgElaXxHjvCTp4cjzQk+Q59A5UGEUY1pHyXJefyY/otWmnL6dt1112ni7vvvlsXioB54okn9DFz\n6stfwBIIjZCGGGae6iSx8ejRo/pISc5eMnJhy6Tcp4nMziXSJUH9534eYy+NCF0IdS51LYOS6l5G\nmCHrqWQGEtFJdQ9JKg+KW0pwxbyj68pEiHV5mICtHCQyCmhxLuUeGzumw4Bc4O9j7j9YBoupkyiE\nLFo7QY0aUMLN5vknZsGa+SdmPwRwn6aZHfT8pSY00ZaTrFyU7sBKKaWskn6BlVJKWSX1QtwqaAvm\np7dBvjAfQu4TSiJPMLSXTEZlMg4sJfzOZFSqnPKf+cxndIFkJFUK2QofQjvHHRnHzvGj20iLmSpe\nBb7/+79fH2+//XYbr9zw8FqkLdQ2yZh0MuN+ZAHc+Uzm4oIWEYiwg0yXwVsmteEJuSTgo8ECydet\nqgyMEwcPHtQFpqaTqNPSBi0cai4gRSuVQztLATA1bclWaVJQWwyK9Py2ntMzEKlQI0UPRP+00DqE\nU/6gLGKSUedRABpXekKC7uBbSB/s7z3/SPNvreyJ7sBKKaWskn6BlVJKWSX1QtwqZEhCfZKGgIyT\n6Z10xwSiMaltUicy2pSZ1bPoHqmQqC36YI5/Y0dbQziiaeQ4iVHcf/3rX6+LO+64QxdyUERZog80\nIaWLj5S0LN3YDTFq3759ulDmb6QYLtCOVCeeY/hMmm3NpXBMcyEpiaBy1DlTn1KMoirJmBv+6PSs\npZ6aWco5xCOaFIaJMIgfo7I30RmkY2pArtSd9Dlk5SzFZaORWg0sIVA2JvRAEuGj12k6sAMmZSVo\nzWQBeit1kb8LizqnV5nGHlTSgu7HFGYuazM6FoD9FbMU889czy45iJYlugMrpZSySroD2yqveMUr\ndEFciF7q7XTzES/aeU6SHXifL+b24sz7NW+7GZ0j8oR4FbCjucb0k7teRUnaxOswcS0KFKMPuFpQ\nQJXzCm8HiY34TR4fFhKqKrETu0C2bngW6E2cCn/8x39cFx/4wAdmg/BqT04peqvdTP6Gz3hlKF7t\naZoalkKOaFQ1YPk8KEtbT5YBFmMSX/va144xPvGJT+jjkSNHdLHhOLe55jGdZ6aNQq69pRpyB6Zp\nZVLSVcESBDObDFzbXCyM8S1LWTrO2NFradL0wbEuYVJtB3mQ+5YXOHdgFovGXxALw9rKRHFlM92B\nlVJKWSX9AiullLJKKiFulWPHjumC3/+lLaS2ZkEqeSg76oQdd5QnxOsRlMM8912qGgpJpkhXJxFG\nEII4Q119oDy50jlSXaqjyYBj8qSwf2I4KH7SeTKQyLKwv/GNb9TF8ePHdWHnYFEDupYd9I5XSOo8\nsmSmzAdpg5SnZutkSoi4w5hqRxOWzx4VN00qrrnmGl1kdiI7/g2NEe6888650eytuR7kOWEWa8WC\nYZ3bkWk0gfCLrKd0+xTAgwa0bmmC9Px4WCxlSmMU+otIJw56K2ubP9GM/YHkyWr6p/TdoLdqa0MT\nZVe6AyullLJK+gVWSilllTSV1FZBzrLTIzMJfUbnGJZDPY9MpIBUJtMkR2iJqRwitlj4DgXorTQW\n9JA8TFLDwWsRO1hkGH2jJBqa6qRFHrSYpPvuu08fEeXMx/Lqq6/WBY6gJDK/9957xxQmxYPoXQqQ\nyjMzmSPZkFEgQlogVHrxmcscZOiVGl06lZTOILXRN2pAp1Llp06d0ke8Lpm1izrFaXZMIJ3RP1Eh\nmjMLQMNJz0ACwkQesmruqSnnLi0t/tbMMhmshqerlkTOmvklsjDSj1FtUTOTxSpNGbZcCt2BlVJK\nWSX9AiullLJKKiFuFUQGE3wgnQwRiwQ6hmmGFMs0P5Jl0pfMTllM0TKlQoE4gwCibpNrB0HMhCAy\n5aRIZUIfnaEtswOdJOeQXP5w/KMPXEilwUOSvlnN2C3PSJRslecWol/pwFI0OmzOZJm7Wuq6eoQm\nEJ1oQmotfea+zdGZM2d08aY3vUkXpDG77bbbdKHpQLWjAOKqusGazCT0putmuibJknw8d+6cLqjT\n0rRfe+21ujhx4sTcqB0AOw9cNrTDJ0cofjyI4MkdLYwUQrHDkg+heRsyaylXarFh4TwBgG6XPdEd\nWCmllFXSHdhW4a3QNl75xm3xPfkDMi/OtoHgnY7IGD3LToWXWfL9aJezIdeOZcrhvZLNjd5JqZD7\nDFNbLnZsBCfRhLpHJqHHH39cF6Q1MkcS+nDVVVfpQm/31Mwv8OwLtds7e/as3ScWTRsFtgtYkvdl\nvXEzNRiKN2s9y2xic7w55A/CxgtD5V7N4K1fj2AN20YDu8Zbb71VF9h2KXQM2B9rabGhtHPRRuw8\nciumC7YX2NYcZHCTwSAWvpZmYeBqnQIZzqVe5eq1hE8ZYki3Nd48zcvmkY+ZcnrJFYtHWCFlT3QH\nVkopZZX0C6yUUsoqqYS4VVAh7IdxXBUQH5BQJInkCUPoGNK1zAliRtIZKg1aCp2RvpHaI5KgGkXl\n4Lh6pDM9myFoPCLXA5w4UhGSTEf00tIh9KTgoq0HHnhgHhcKEgFDjNeSjuPEgVKkYVJz/q4ugzBH\ntGWhYxh2yRcDoSxzyZuXB52xlG/pT8GFKucjTiuKchvT9EkbfMlLXqKPTBazIBPxkXPCLgrKmGpg\ntafgKZOy0nIRLuW6o6TFQZq/DK1bdqsRovSSGEudmULMDnxI/yk6o7WXWepZhOaDUy6R7sBKKaWs\nkn6BlVJKWSWVEL82WBonNBa0FDttErkjU0aJ9ARDnZA2gu8ZGYMsFg3fMzwA6ZUu6AOKGf57ap0U\n6YAsQ0mrmT4oyRDZ67l/880360Leg6h2eTi9QJy59MAaU2+QnlDMsIwucOe76667rFF1G+fDPJ5U\nlfMRrXVJQUqt1ZJR5YO0LlKUM4UTXZc1efnll+vinnvumStcUsYARZTwPs0CTWfCJHUm5TvGpaqo\nGZ3TJPSUHFljGibl+UsxZ1EmK09Vlc0pkMfPSqdFGebQCZqQkfOHgEwVVvZEd2CllFJWSb/ASiml\nrJJKiFsFoYAoWsuijfZi0lD6YlmmKLQ1O2wwQRihael7CGVISXRGooryJI3JFdBcBMlGn3qI4moz\nB48luELdOn/+vC6IAFWjlCddPZ2UGoNPHW09+uijcxMYiszoKD9qIrN5oevKRIRCMwqLusXhE4nJ\nZnmDT6kapZPpXLch9fvc6Atf+ELrg0V8j50VwkdM95nPfEYXMhH+nGiJTMpSNnrWnh6hCQuuHzuO\nrJZybMTJrhmGzB3VySRiOtaz5e9HrrQ8T3kSLOgvguEjuppDLzUTfW8H1eLPyZ8SRwFcNPF/2ZXu\nwEoppayS7sC+NtgruWWDHVMiUb395clSxGDpfXBDely9aebBUfZzNxmDeG3kfVkX+TO4QYv0lpJ6\n4+Y3/0xBq90Pfbvmmmt0wcu7+p9uAqBn8RZhvFhGHiIZckTSKR0Vln0jLZMNnAftnZ1hct/yG6Xv\nBp41ennnPi1aziGaWAqTYjapmYGzUTYPEaaPRSg3FtYDdVJS/cxEuszj6dOndx04kyKHIGYTk4IG\nyKaHtiz7FBbG5oxXO6dMDAbaP2UKMexju8D0EzFIA21/1/v379dHNrvIA0tVlc10B1ZKKWWV9Aus\nlFLKKqmE+LUBxUOiCgIR/hEoJBJAkHHQN3AckLKxJHONHWHHzqTf9Y7VwH3pG/yYTy4iIqWWEpwj\ntli+HxQwfntXE0hn5D0itkzSGRXmMOW2wK/iSIj4XMglgfsZi6Ne0TcUM5CUija1NGpcElIx0ygy\nYzrTqpJIapnO3DRDpCe7j5LGHKFroQx/8YtfHFPUF4sQvY6APxsFypilzkL3ttxRmSoeGVPrHD0c\ni2HbJb2aWdBI6TydwefCXIoyklIXG9LVWz0cqsCkaFrTf4olpGWMhPixj33MSmLbsie6AyullLJK\n+gVWSilllTxryYup/L8ANy0UD2kmeTi9RXFlUBcakVS4DBiywzMvmowq0/wQtiLBh9Ary1I/wicQ\nEQY9RwNk+Mh0llMKvYjR0Vt501HAjvFkOHlgvEUIIaAh2uCnJxc4lFJUWeyg6DQqpAke0TDpA3Il\nVV00t7o5NDJepFStEFRK5CyLb7MzJ2fSRIJJoXJNdJ4MwCrVIxm8SAGtc2YZJ0ObHcySLoJaANm0\nGQrBkOz76JmaFCycK8dUSnM+pHusf5rmjtrC1BnvePjw4TF55545c8aGo/VvAYXlonQHVkopZZX0\nC6yUUsoqqRfiVskDLe0jmoMlGULNQHNAMpJCkuqNCRqZgwdRRcqeuVSNMR577DFdyFUMpQgNjaok\nwmQCJIvDpTzDMc0Qr62UEE1dwZIIXzJU5gGynOIYaukAQzQo7EN6flWOfTK6VnViHyREBC7ZkEGh\nZ5pfYrre2TEF1Mz9ffv2zeXTQ5I+YCJpp9ic4Syl/CcZFZKpLWNzZ6W3hw4dsvLYkAsrwOxoeaOx\nMwoetIMdGAWpwqSIpnIIGuaS8+HYma9cWnZ4AtOKrssf4yOPPDJ3nibyjIiyJ7oDK6WUskq6A9sq\n5rsxYnsEFoOVBTZERFkBPZvF7Nz3peS/I3LtkIl4KT1PugmoraUcvvwTb9O8R/M7ufqfwTo0rf0B\nOxJGx4Uqxw6KghqTa4mS2GY2o2uvvVYXn/70p+dRUxWW0UWeOMUbN+F9ws7uGjsbzdyqgkzKvpM9\nHPtj28zlJo99g/bcdJ4tOKgbbNEeeuih+f7Yid9imCw5xqttEFsTZs3WP31LKUJ3csGY+08eGMY8\naqLpUkoR9qdhJ40xTDbWDJMabL9LIjTC3QQ1ABuvJvP96ugOrJRSyirpF1gppZRVUglxq+SZQxJP\nuL8UEJbxQxboY3lxRug2KYyAUmWTNyhlHMkytMhv1JSUFIZCQucRG1UVSgsKGHKcquLBpcCg1NYY\nppQiO+V9TAqhoEAee6ZeEQWFpMa4VBVBXUwWCphMRCcZppEZ8emMuo1qh6nBxLRUpaTaZTIqxmWp\nldDWmF8i5NQNO/1rRoInyajojPUKtRbsSIRM60Wj9geCQmjLmL7hu0FWNstGn4LnkgjP8taMYx9L\n80ZV9AHlkFFoXOlZc9E+lM10B1ZKKWWV9AuslFLKKqmEuFWQSsxfC+UEkQGdR+IJ8kU6dAlUrAyx\nshxL2RmF9dBEakqSSpCzEIhoQq3TNzpPAQk4pqjMbUmdS33PTtFElMuk4wIZhwI0KovhlQeWPB5D\n0RlC0KRfkYz/jW98oy5+7/d+TxcydcqbdrBnHi6KqCh5Cv2TAhbGxHRn/J86SX537tPEElRlx2yi\nLWd6KtkKuRLTIULKdDyYy1sXS4dMjh1bMWvE5Fm3sfnRo0d1QRp+DZwaqNkCBIG/TZaWSjJrVEVJ\nJRszyTHrpGl0TiUnG7sty3IpdAdWSilllfQLrJRSyiqphLhVLLB37GgLGRoJupNBl+g85lSWTlYq\nkAGelp0IwWRJ5wEcusz1MfPc0xlJf4zC8mBhkHxwKRmVqZcMh87jhMYwldAdrebqq6/WxenTp3Uh\nKQylaClzfAb2Ip3Jhkhq9BYZ0+JVsRg1mJiGzMUwzbORGnhQYuwTTzyhj6hVqetKCs4YeTtMMifL\nxksfMPX111+vi/vuu29s9LUzTZUCmM7yPNG0zc6RI0d0wdEBmE6dNKfEEep0/ulR0nJuMV7cEblj\nw2cW3vnOd44xfvd3f1cfMRRx+uWrozuwUkopq6TngW0V3jTtN2qwFDsjXg8zJ6n+KXMO2VYszwmj\nLT2bL78WlJMJdkn4pAK8Ji+lrWL3Yxl4x85rPm+mGbUmFxJ2A7kTtUxI6R/x4he/eEx7ILLfklpJ\nHgfmPjMiao0HeamnV3pVz5xMNKq5oEIcDRiOnqUGLGwRYwS3YVI8TVQSA3KQGH/pOK1YdmNMbce2\nZfJii07LJM4YX51J9xCLg2Qrw/KmgExnGsBskP3794/JaQVwNZKRMwlZpqcS+V+itmLpN8SsaSOF\noX70R39UF+9///vnetJXxf7MM2CubKY7sFJKKaukX2CllFJWSZ04tkqqE5Idls6mGvEjdjpKCDvk\naYzxzDPPzI/w4FLWefshekyaiSVZz5xD0kYQguibpRTKyBtLwpT53W2Y6buBHKc+UJ78RpaUCAHt\n+PHj1hbDEYhUIGUM5RChDO1IQtbznvc8fSQeyKJ8cvimueWpV/YIU0ATZihapOY870oXqc5hInM5\nybxWS6nizSdlKaXW2JEr6QO9xTLKRkYN9M1WAsNHMaaA3DqYNTuBbOwYM6P3WDn6Jx6kD2YQOvmR\nj3xkfnBELGYq4elKUy6F7sBKKaWskn6BlVJKWSWVELdKplAy6QAVwnIFZXonxAfpEhRAKjGHxkxf\nZAohckemKRL4UOWZ6xpF5jvHn02nTWbn0TnlLIcgRict+RYGpCokIwk+OUzumDpHDaTM18DReZSk\nf0wOfjrZ8sSJE9YE41WiI+Y0E4CZs1mKsbYeTIMa4TJqx1eOkIIpQBM0mh6tglmz7FMoilhMs5On\nE1iC/wTTWfquHK9UaMabjnz6JyKuGK8F4bG0MpJMjyAYUsCSkDFqtERMrRVC08TemT8qijrDfM1r\nXqMLXGHLnugOrJRSyirpF1gppZRVUglxq2Q0sdSnzBhEAQkXxJDiXWaJ3iH1PasZacX81lB7LKh2\n7CgefFwKic38T/jjqfLM0k1eK/nvnTp1yprADqqB9D6+cwAAIABJREFU+3SG8aqTqcGiVt14441j\ntxMgEQAlfCFSURIR8uzZs2MyePrvSZRDcsTUzK/6z4MZhZ3d25V0RqUGXdBixs6jgGmakBapk2nV\ns3nIgDmyUmFKx6oqHVzNHy9Hnf6ou34cO9NhCQHGZBAJoekAjIm09lgwGYdugfzMGgdXahmjOZN0\nilMFlHWelYPN77777lH+B3QHVkopZZU0ldRWYf+UQTnCXDPGzsYiX9XNi4H3x3wVVQ2kDeV9mf2Q\nXpAzios6dSdP8wK9aLOdyuHolZzNDfmNLChHvh5j+k2bTi4l/rFf2oGtmGU9TncJtn1L8UDkh9WG\n8o477tBHNiKMS53h134m0ZJsWQquEaeasSNh+0hnZEmmBgMy77Y9Yvjct30wuwQmC1NrS8p2iuEw\nQO01M/0x41X/6ST3L3oEF1gMItjBeJkIjXnURaYDNjef/JO0OvFVsaPX6EweuQeacWIT8bSiCf0F\npURRNtMdWCmllFXSL7BSSimrpE4cWwWFhAgbiQ/IF8g1XEivoAByDTVI+LKESXNbUifQPbhvMg4/\n3adkJAGEJtA9kJKkxqTKR4GDBw+OSYt77LHHrKTaQsa8//77dcEdqY78PJ4JgdQ9fuTPaCddUANa\n4qFDh3Sh8Ky0A4qfTEcTTIr5v6TEChcuXBiTGGUBVQn3Ga8ZmVPNnnrqKV1oAdAEQhmzSf+1ljLp\nlJ1ShicO4WusBNVgK21E7B2TSHwYjWpSWLTpo2SnMSAMsp7VyTyuwXyR6FJ2kvkVmI7OqIYzZ86M\n/w6zc/To0TFNQdYgdw9S5mdWNjLAlT3RHVgppZRV0i+wUkopq6QS4lZBpUHxsFicDELSHcQHauDC\noGZqsHz2aI8W1pPRXXn+pED3QI6zBwGvKmllL3/5y/UxJcTPf/7zY1KrMAihNqbzACVlEIafmb+X\nHgQpQlbhmOQ71Yk18uRPgcyFZIpTpUrSpdR1rWlqpoCeZWoQ5XAmlM051f7RRx/VBZP1vd/7vbpQ\ncJIF842wIcqhTgSdkWurZZwa07xLTMuTECzPGV6p5vg6xnjFK14xxjh37pw+Ir5hAa1z9ECC8Cxl\nGsNkdljGmWVfsBqtacqbuyblWXsnT56c22IN5+JccrItm+kOrJRSyirpF1gppZRVUglxq6BaLCXj\noQASijSWlBYpKUULhyikEtO1lo6IHOE7RwGEINNS6AN1qntZAwUkniBnZVUyiLK5j0kZI7RZVaUn\nGFgKJaQktFM5eiEAUsDUG0aBbEumc/WKhECZtlzy1P79+/UR0YmqRB4IYGok+hgSk8mztIj3GnVK\nraVmHkSme+ihh3RhIiq9zRhw495779XFS1/60jEZEBmT6UtnUUH3cPW0Fon5PX369JhkzwcffFAX\nFuvNLPOXwiLUuLAka5LeopEKFgCPSMcmx3z2VtNHPfv27dMFvVJVKOeMOvXqsie6AyullLJKugPb\nKvzUbD9r22/aY3pP1Es9L4P8gEwB/b5tO7YRiXAyTbC9X+dv+OaswWaILQhvuyqZKYXog97En376\naes8r6JKhMqbOy+kyp87dkJtNqBGSdKTKVk1CrZHuB7Ybviaa67RBcORswMDz3xIttklHogwLwpo\nmE8++aQNk5LqlaXgGpOpLVUY93lEXg/4C+gMs7ETgjYiwzKwJcXdQwXYPjJe0pKZFw8fWQAqmbl6\n7Sg11n+aVJ4jpPvKTMoySCbfAo2C8nn2mPa7GJDOs1w1O+yW2Gnl4WQCS1JAa4a+Ma2IHEtVlc10\nB1ZKKWWV9AuslFLKKqmEuFUQQJDvJGigZlhKdR5BzcvfoiWhZMLvVCMN0y0RMXjQTi9DlWIUluAn\n3UNo+siRI2OMw4cP6yOiHMORqIJAigpH/NPDDz88JqmN3toxTmQtQs5C7zJ/gbSDenv8+HErj+gk\nfS/taemaUAixJE4Z0vFSMUatMj2Tmi1QLAPIcNb4xCc+McZ47Wtfq484zmAoFtszzzwzJq3VXHLG\njviGYsbSYjhLIE6q/1gSoY95VP9R0lLHO3DgwJjcH1IyFazJ9ECRLv3Wt75VH6kKTVV/XJTPvFZC\n5hqTzTl+Qb2iSyml2i8FRDdih0y3Xy6F7sBKKaWskn6BlVJKWSWVELcKWoo5DebJh0iCEh+Qfcw7\ncezoEkshOxRYEhJH6JbpZac7yJg0jdhiR/kRcoQIefPNN49Je0GVsjxPhChhH5zupOegQSF8IZ3p\nn8ytcUSYV54ZaHoXhsIlEnnHstEDo5DGmHmekIxUA/6cSKkgMQpTM61MilrHhZK2GK/UV0wty48p\nGxMefQJTZzCiXDqpmfuUlGsoibLyREfpt4T35TrXeE3uG9M0KeYMUS71Pc1aytd2wsOnP/1pq5k4\nMI0rE0oRzqVlmUeG6oyFsbMIWRisSZMl6bMFVo7Je7bsie7ASimlrJJ+gZVSSlkllRC3CsIXznLS\ngpA1EN8QH6TXoWIhiKHOqYC50s1tyXswvRNRXexQTbBDBVMgsjspvsGtt946pqBaBC40NFPnCFu2\n6Npjx47pI6Icj0jXyqze3JEERFguog16plkyY0slptFiyj6yZGqM1CkHRSyPzc0NFXdNZtn89LA8\nfUC2kmObMjDN4H2X82h9WLrPg/hMSnzLIPolE6XmbPOVbUkZztM4UUS1ctKkJqrjpohUyCpVjih0\nUUyN0qtZuOmmm+YWx+SXaNAEValXDN+i0cdGhb9soDuwUkopq6Q7sK3Cz+DEVNl5YHlgkgosvR2P\nnY0CAUPEptCWXvcoYHs7/on76ayh11s7J37upHZ7uYcjLZP2B5/61KdsmPyard/5eQv+hV/4BV3w\nDvv7v//7Y3oTpwZ+GNfhWwyTDLxsdjUuNiK8X9tJUeayMdtBJcmfy1u/udhgH2rAUOo/H7lg560t\nJvtL7ENsmd7u2dnk4WRy4mD/zWwuwVLEkocOHdKFpoN9A42yVB555JExWZjhKOxv7OxyMClZgEED\nZ1qvvvpqXViiYRxP0llDk0LnedDSH2eKKWZHKkgmVtYZdWNn145+wBIis7Ce5Qw23EOYNXWbNGaZ\nW4sFUPZEd2CllFJWSb/ASimlrJJKiFsFRYhUSdLliF7K2CNhDhdjigRSDdxHfULQsCgudB47vt2y\n18+NSo/id2ZTDiEDyJAELdwnEwLZmWQf+tCHdPHLv/zLurjtttvGdB4YgUFoR5JrqEFJ2ccYDzzw\nwNwrnDgQguitesWxTzSB4CPRiQdTIdSkoGIxm5jODq/K9aDhkOUIfU8ZlcYYP/dzPzfGuOuuu/Tx\nz//8z60tzRoPYvN085GDDFIbc0F+oyUsRz41M3DmXWIafcBiiMmaLzRYhonzzsmTJ8e0FJFnKSmb\nM3y0uKWD8YCqNB12qNuYNHM1gVL6ute9zprQ2mNVU9WNN96oC61bOplZyuhM2RPdgZVSSlkl/QIr\npZSySiohbpX009Mdc0ockZUcMuZGskxmJScNucRDKqQJi8XJfNh26iYOgRnNI5Etz9JECJJvJPFD\n1IDWpEdQ0u644w4bjlQaDJVpjVQDLoIoh4yCzEACDdbGRZ8t0m7sSEAoS9w3L0RUXEpiEFLjG6h2\nCozLxGCvfvWrdSGd6oYbbtBHJemfL2QZGiLKDVD8tJaQs/DTw9tQVeHXipRqC4AKmSyyTwk5K84F\nbC6YRIyPiKrx2sEII85GYDYRV+mD+dCiIbNU1Do1AJaRqsxfkFTNMS1Xnbp5yy236OPLX/5yXRCN\n99M//dNj+vPHoRFJPFsvl0J3YKWUUlZJv8BKKaWskmdlYGD5fwcuc3Zwn4l1I9KQp6bEI/qnTE6D\nXJO6pUD5UYFUaVAIpU/iZMWaYRTqA/eJrsUTUh59JI6iCZyvVBWiDcl4UIr0CFIbvoJoiXIOxA50\nhm5LtqLPCH0UMFPjU4e2ZknHqYrxGqklSr9i+NRMbxVEbEn6xxg///M/P39UWPdsEKQzCWJIytSM\nSdHrNJA8K5U7GheKIuNlRZGOXWBJgsR/+Id/eIzx8Y9/3IaDdDb3ZOx2GoMWIYbKRaglhEnz1E3Z\nnAexGOHGUoDRA/kbfNnLXqYLSaDU8K53vUsXyNSKu8989lIOx44lSX+FqfF0FXk6QdlMd2CllFJW\nSXdgW4UAEd7y7Kj4fPXWG2U6Dtg2KHdgvIpq32BBLTOqM8+J5y14aZHwSq73X96Cacve0NkU5oVe\nb/N4e7MPBS6//HJd8OJsCYEwFImR9Hqbziw4cWjvZcFtI3bD+DJkhllLTcu+AYNoV5dpgm1z86IX\nvcgKvO9979PFe97znvk+R20xCjWaO1FizjLfsWGRgpmamU2MBp5pkOiMusEUsLypUz4mzBrGZ/Wq\n/xm8aNm5LNnxmFaI6mTZUwOJndS9zJRGDfKIoQA5fFlj8j35gR/4AX38kR/5EV38wR/8wfzI7bff\nro+4qIBmrTuwvdIdWCmllFXSL7BSSimrpHFgWwX9yqSSTMJkWiIaS/5OLhWOAin3SRvcEGFmB0Rl\nZyTX8DGPXNId6sEXg0bVPYQjy94EmfUHdU4/d9MiYU+ggWd2dhqVfIeUhBJIo+oMXSJOyCLkGF0i\nbS19N0B2SAPSbfWKwCk6gzxlDiMp86pOHkTFJSDMTu3KNO0YRPOe3h+YTgNBzSPEipUgkY3OoPfi\nm6PpYJZRIxG0Ld8V+h6JndQEHjeZlt7mi6a5eOELXzh2gygu5Y5iPXzyk5/UxU/91E/pQs5KP/Mz\nP6OP6Jl2YNiG88DKV0d3YKWUUlZJv8BKKaWskkqIWwXlEBnHsnFnNibL84T6xBF/0kyswrFbaihr\nAqRK2RGaIwLF0lWMtlQDCgn3KSlNieTcpLlCO9IFNWAQJCMVSO0RcclqoGnyV0lTokW88jj6UsIO\nQlnGzy3l3ELWk95lgxqTTGcnGRIGRA3pC2qoe0ht2IeaZTq8Ny3KbUzampQuphVRDgHQCgBVSTLN\nFcXK0QDR4ix709iZUAyF5mbHiqYwzkpQ91hylsVq7JxL8MEPflAfmfclWDmk7/q+7/u+McZv/dZv\n6SOJoHRCwhjjl37pl8ZkakbHkZiSMbHw4cOHdfGFL3xBFynklkuhO7BSSimrpF9gpZRSVkklxK2S\n6ZokwuC2lIfp6cKkpxmLrkWDQscQSC4IRAhBkqGQcZCzzB0xj8REEtFwyM1z7Ngx66SczV71qlfp\nI0nHEQAl/aVahVYmZ0JLgzTCqZL7aIkIXOoDPmlUhWQkGQfxDTswO4I5wpLm14ffI2qVpe3P0S0p\nSKkoqoY0IJOlgds5n3O3aUuzlqcsYjpd8CCW4Y59pFc4+KlOHkTwRG3TErIK53HpWZYWc8FfkEbK\n8BEhMf5HP/rRsdvpowYq5TXXXKMLltZ73/veMcWMY8Af+qEf0sWf/dmfjWkZfPazn9WF5S1D3mR2\nOJaTi7InugMrpZSySppKaquQgtbgjYxXUX7e15smb+7MF6+HupPpUG3/lCFH5mpBDbwdW8xNngdm\n7+a8b958883zg2OM+++/fx4FOw/6YNldGSbbI13Qed7QQW0xClLQUlJ1WobiEd4rdlzWiARg9IEC\nPKItCE1QwO7kkWx0WyZlJ8p9CwTkQcLaKGDHv+GywR0295rQDE5igKqcURw5cmT8dzQQasaxCLSw\n0y+GOuXWQahZBquxhAQbLDqpTV563Nj8ZpI2VqNM9JKXvMSauOmmm3Sh8LWf/dmf1cdf+7Vf0wU7\nTlmAPwdq5kKVkymKA8MYphol9VS5RLoDK6WUskr6BVZKKWWV1Iljq6DOWZwTPwsj+KB4SJ0wwXCE\nZpKJz3lEbSFGZWcssAnlkD5ICUG24kHTeejDO97xDl184AMf2M0M/0d7QSm1HPCpCElspInMjCXN\n0JKUj/DaoDxVcUdNZKiZCX0UwKTYXIbKIDaTJfPUN0uiT82WY36M8fznP38s+9EwTNZJuv/YSsA+\nlvh/jHHllVeOKU4OCIR66KGH5iYyy74kxAwQZLwaYOazt4xZ1JBOOup2Zuciodcb3/jGMcanPvUp\na4LEV9ItSXNFkrZ77rlHF3LfIKiLP1IsIwmU6C7C3eC6664b0wFjH/7wh3Xxkz/5k7p4+9vfPsre\n6Q6slFLKKukXWCmllFVSL8StglyDKiUlxAKJkkwIBJnBXSDKSW5C18omdHAfzlcIYogwFqaTQpD5\nMb7pTW/ShSSmsSOhfOhDH9JHRCfa4oxEqxlxSRmhcNeUujWXVH56Rk0TiGwqifSEJS0hFoNNsVFq\n1Ytf/GJ9JIIKj0frElmsLFV85vu39OQZgkadkqcybswOOM3RscZQwEw6Zk0ihWlcaGv0gVnQI5ng\nH7TguZ9ZytQ9eku8F7OgtYQAiJsiDr3mCUkTxKLpDgssL+QciKJI3+iDuodguG/fPl3YnxJOhkSS\nUacsgCWlao4x3vrWt869veWWW0bZC92BlVJKWSX9AiullLJKKiFuFRy9EHZ0B9UCnYc7kiny3EJU\nJrm6IXekf5q5pVEyI5oFShEai2XfQWuiVyqA/iNNckyhr7fffvuY0hrRBHLWZZddNsa4cOGCdRKp\nUPoMWhMFXvnKV+pC+XtQ81JrlZSEhTN/v2QoHkTvRa/TwLEbyfWPHz+uC1kMlRL9kyxE+ieayLz+\ngibSr89kq1w56qSdOTl2Uwix9hJ6NpPNp21FSoiapjwCFP9MTQrB5iwhi19OXvrSl+pCQu599903\nV5gXmZSLUcjImIXO4Ctr+QeQjrVox46ui2hJQLcOuhw7SaRQFNGWX//61881v/vd79486mJ0B1ZK\nKWWVdAe2VXIHptfAPMTLXnsz7Ml+amZHwuYGvwDLkEtb9i5P8ApvoPhi3H333XPnce6gDxYolimJ\nFSjDr/28gBvUAOxF9Ot9JmfiQu+/dMncBOhV5lO2lFq8qmeWJhVg17hEngdGVbLt0kljI3YezDub\nADulPkPKzL8j835ZrCHlbdNPZ5YOltt1ILuS00qd2sRbHqwRXi15iBcRhNre5VbVHKMYFLKBhVrS\nSUzKPkmKAr4b6TCi7jFHSBePPfaYLuS+gTKBzenMu971rjHG2972tlH2QndgpZRSVkm/wEoppayS\nppLaKhlBJU0shVwTFU1ynB+x7ONc4CAgZQMVC6WI36IlmlEA9ebWW2/VhdQnYpIQW+xkqTw4ChlH\ncg1Jek6cOKELlB8JmPmzOY9wIe69997ZPlgm0zvZb/UZckdvpe+ZZ8qYjG86FQahCY2CB/mRH9cS\nm01KIpHJAvSNGkzoWzq7iwKZ554LGtVIGS8aMm1pSTCtlu4rySMCVGcm5TL9lj+H1CTl/pCOJMyv\nGYThcKFeYWGUQJRwjRcPlP379+vC1NfU+d/whjfsZob/A30wnfOTn/ykLgj8+vSnPz0qIe6d7sBK\nKaWskn6BlVJKWSX1Qtwq6B6WVD6dDJFrJF9QILPRS35Jn7oMNrL7OPhZAXMAg/SQRGuSuxoCETUg\noaiTiDMkBMKXTJUfO3ZMH9Ez8cqzECs6/7nPfW6uAbEOOyAu6ZGlE+XHjvHT6U4J4MdOOBfRPNiB\nYUojwp44W1pWqvQMZFpVIB0dTb+iCVQpBGFJhRYFOHZbOWoFIRQpNc9EtRrs+M0NWBozbEtbhw4d\nGmPcddddViF6pmLpGAXD5AxMWYCQOyYFD0AVYE3iZYo/p561cMC5Cc0jk8I6J2WUFO+zZ8/qo53O\nOnYE8NOnT+sjy/ud73ynLpTq/g//8A9H2QvdgZVSSlkl/QIrpZSySuqFuFUy07lEFbS4zN6kf0Iy\n4kE0E8kRCCCZbd00MYSgJaeyPBtTIM7gK0gBuYrhOkhabuQauXgpYfzYzTVOvSKTEBfWFn1gFD/2\nYz+mi/e9731jkvssVJY+YJ8UPPVI5j1CSpI/G0mMGI4JXLgOAp2xVFJojCwMFcAjLo8vkBBK1iLs\nwIIx3Y8a8PSztFUoY6iRCFwWAkwf6LYWYboOohCqexllbKniE/og2ZkaWBiWff/cuXP6qHMPxjQL\n6RspmFZZhklEnaZOrbpcGAayrXnMjkiERt/IgEXStbInugMrpZSySroD2yrsn+wO77Z5jJPezTPF\nDjsJy1GbaXvszZGX36W0Pdzn1VV9yG0iqXHUB36jTvSIxY3Nbcl9I4+5sgxAmQ6VRLraDfBGzy4h\nQ4gMHrGkrjTBhlIoa/CYdodMqwUMAX3QBoIHmW6Gqclic4CTi8F+CwPmvFtJdsNMqyzG6KjKdkWZ\n5ortkaaVBxkXTjoaTmaatvRm6QyCSWUZVhoWU3ozRsGazGS+Uhos+XWSKarpgzapnObF38udd96p\nC20Tb7rpJn0k5uyRRx6Zm0A1Afw+MF3ZE92BlVJKWSX9AiullLJKGge2VfJ3YMkU/EadycV1xzLH\nj0jwg0JCghyCriT4cB/fDZQQuQxk7iUihKSJpW8CUonkFx5M1Y6q7COqlB45evSoPfie97xHF7/5\nm785pjCvgwcP6gJBT4pfBswh6ElDM/FqTNqRXFFwAzl58qQV0AFaWD6T7psQlBF1NlmolHYIGQak\nBkQ5/RM6GAa0DGGZjIresgg1HNZe+lOodXRdqqJXGg6iNI3SPVk7AweZBS2hFF1xA7G+Wf4zGqUP\n+SdmAiBgc7MYIWggUTHT1fOI7LDBy0MWI4sVnWGV6heBO+64Y6mGsivdgZVSSlkl/QIrpZSySioh\nbhVibiwYC8kFWQPBR/JL5lA3zy5EGGqWIDZ2vM6QXBBbEILM9w95B7lGUANKCN5oElXwncNDEocu\ng+HYkZg0wVHrdEbHtEv1GpNb2j333KMLqUwpBOF0p17R9NLBnkSz0Xm0I9lWCaXm3qIdEb9lozNB\njPvpEWdnCzCJDFzdRoQEhqPZxG6454F15oknnhgLyOczXQexmGyevrUsAPWKubDpBtPiRvglWvm5\nKpkizw5FdVS3qRlD4eFpKcQyCZkUb2ye+cwOHDgwptm88sorrTMqgAF5kHRWWlQPPPDAKHuhO7BS\nSimrpF9gpZRSVkklxK2SDk6SpywqOckM2ehX8nzLpETIFBKR8N+zkwBHxMAidOArJdEJEQYNygIz\nqYe2QJ2kS/jOmd8aBW6++WZdsD5VADt8+MMf1gWmk48cuh9CEL2VZRCOTElLcM9bSud/0RDpi4LE\nhIqrTiI10zR2kDcpfUBjxDJS2/ClBDwksZjIHFSskEwBJZgmkxBf97rX6eJjH/vYXD5Dg7mQOod/\nI7OG8qmSqUXTW6061h5J6JlfGYTJQiLGFVaVZzA1EqL+1qgB0dVkSZxys5Mi0/lTp9oiMrpcIt2B\nlVJKWSVNJbVV8pgrvbvxkbdjXn4tlRQ1EAil34Ezkob0oHrT5B2fl1/2cAabPPI2WRRXRvPo7Z6P\nNMG7vEbBiyc1M3Dt9miIU75wXtBLur13j+mFWi+zmaEYk6qJpRTGQBM8yCPmDkPOVn6Kz1RYu5LF\n2C7IIJbbd0w7bG3OsHAuGNWQ4W55R7DPSDFGiw1TYwdLlMy03nbbbbqwQ9cyebG1xe6QRcuWS/9E\nE6woqpIxGT41023bRxIQiRyiR2iRXRFOTJkCymqWZdLTZGmx0fSjjz6qCySHsie6AyullLJK+gVW\nSilllVRC3CqZMlxiC/IOAgh3pCalUqQzyBPEKDwpJHwhtSFCLkHgFDqVGsWzALmSklJd6DMKEsqP\nZDcUFSQjCwy64YYb9PHBBx+08UqmowbiwNBtJAHRyfzZX9IonTQLA6PLWCuNghbxF9irWwcKEtOK\nJSVbIbHSlnn3cJ+YvNR1jTzoQGxw47IYspTItEJYcumbIJiL9FFS6ymZWnb5jEXLqCxBVRYQlmn7\nra20A1VJ2c6jAxi4mkDVvKh/EInBDh06pItXvepVmx8pu9IdWCmllFXSL7BSSimrpHFgWyUzvku+\nSB9CO5cvT203gYuaM42NBBz0n8xKLsUDD0CkFYQsHcPIgzp8ckzBWNJnLJhpxo51R0PDv0udVMad\nMSmEHJJ55syZMWlTqDRLrmKYlLYefvjhsVtKoTwKQKQiZMFq2dZFUVtMLsqYNc3HpbbyRFCmmwM5\nBRrjXXfdZXVao0sxiNmrJUkw03RpLbEwLMXUCN9R1jmRYWaxRM/iW5heiCLPc2B5KzQwpxtDqU68\nT4kDw7aCJG2JXEPpA5ZkvFoJHIBQLpHuwEoppaySfoGVUkpZJfVC3Cpoa0go0kaQO5BKLOG3fRwh\nKpov1pi0FKkTKCT4dyEhmpREAaKMpU8iUhFlTO4cuQgyCvRMlEO1lXGduCO+9rWvne/TW0S2t7zl\nLWOM48eP79rnEW6H6DnUoNZRGmnaEv9zECipwbG5xKVU3Slgx5PSNNqabItZMIhF0eIyivhmBmFq\n0jOQXFn2MdVI8xVkFFhGq451gsscdSo2PPU9FoZmgU6yMOyR9GNkeZubImtsSa/OvyD1H5vjp2qm\now8WhT12Zg2z8MeL6m46fzqj6m+HSSTR19KRCOUS6Q6slFLKKukXWCmllFVSL8StgoyDTCHXJhyc\nEB9QSCQyZKQzJaWJUQMyBcGSlvMQeWop3BJ17rrrrtPFu9/97jHGr//6r+vjQw89pAuyJkopQt6h\nb4gqUtW4T0kcGlXgkUce0ccXvehFunj1q1+tC6mUluZ8bkJyHE6Jdhrn2PGlRErKyG4pQnlso5F/\nMghBahQJkelGtpL0h5JGvn+DAijD6FeaHZz0GL5JZG94wxv0EedDhkOEuzz36HwqYPonOk+j1KBl\nzIJJb0zdQazL5PoaIOthKdIfYRB92/xagVWNvic31Dx7AdlW85UivGnL6cfLhWyby/6i8NeqP1LO\nSi2XSHdgpZRSVkmdOLYKb6D2ds9+i1dvfA30kp6/PL/85S/XhRJa80J60YTo1Mz+wJLNk8+J98Ff\n/MVfHGM8/fTT+shv+FzoR2l2HlzYW23+uM3MNgrhAAAVY0lEQVQ7u5r4lV/5FX18yUteootbbrlF\nF3pX/fM//3N9ZIOVCa4Er+oWH4ZLAi/g7MC0LciNl23maCjT+evZpaYTHEbOnz8/38ew+SO/IuQy\nmxEbbr3+s/Fio4lPCkvF9k9LGwjipYh/YpOq+c3IQjZY2jlRM4FThG2pBoaZDhSCTtI0xteCZw2b\nzw6WYS5Yk7aTpg+sBwYug2QUF/snO+cvj/fj79qo78b/kO7ASimlrJJ+gZVSSlkldeLYKugYSyEj\nqDFIJUoNhb7BT9BySRhj3HfffWOSkpjQFJcEckcmdBeIM2hNSrvOb/hIauatgGiDnkO39U/IfdTM\nxQc/+MExxgc+8AF9xD0ENIqPfvSj+shhkng3aOCcLUlnUG/UGcyCigUaTh6EyFxYwntgFJrfVEoR\nFa+55poxndL55JNPWknLaw6ocxK4Lj3/PZIyC8Oi8ezo1Bm1gsVYOZa3CdXOXJOAqLU8r0AmZXSJ\npgNRDt3bTk9lFJmVXya1zPozKpnDX8oQhvhsGfGRHJlfZkdSIV1i+hi4THTixImlTpZd6Q6slFLK\nKukXWCmllFVSCXGroMIhJkimQADJZEtSY5BxkMgsKxUay8GDB3XBHSl+qDroHri6SRpCUUQA/MIX\nvjBXhQiTApdknDxKkdWl1jPUBvHtB3/wB+eP9AGl9NSpU2O3DFLmn4YlE/0TU8Dw6ZWEnYtm90H+\nIlsVSpHkSvRPlCImRZ3EUPj1GeiiuLEhW6kJWqQAyqcMkrIenaGk/imHSeXqJwZJdVp1YkDasoMO\n0HtxZOURydcse9RsExXRge0Ph/GSvIo+8Jei4aR/o2WromaGz59M5uuyGjRM5siS8Y+dJbEkrdOW\nFnm5dLoDK6WUskr6BVZKKWWVVELcKpkBSOCmhWqB2iBVDaEMHc+EnUzSY01QHjXG8jnhEUf8MgXk\ndZZaEzqP1DnESR4kcFWukplKHMVP47riiiv0EQ3t+uuv14XitXGEQzojrZE0VSrEDuZLlqNAIJJ7\nITIXJem2SaBEvDI7mgUUNmRe3PakvuLHSAGLAafP9M1OgGQhgelXyLwYKuOU7W+f8Vq6MmrgPt3W\nwNNbj5IqwMc8NNJyR1EVK0Q1UIwVgius/kDynAeGY4p35nmS6SjPHyN16o8xhUETABGlcUekpEnf\nKXSrdUT7col0B1ZKKWWVNJXUVrG4kLGz87DTzcf02qh3N971eHXNzDciw3rs52teh8nVq1dsBXvN\nBXCpsE6ynyDlrn4AP3funHX+nnvu0YV+xicijeFwgbPG3OKYfv8XeD3wIKmSzp49Oyb7mGtGjoId\np6XBZcNBzWwHDV7VaUJ2wH1gKeyPKcNxgJxS2g1g4SVHktyZLU037/5MqwVIpV8M41Jn8gg67mgW\nuI9tl7CD0+h27ooYuOaRVZ0RhLaH4y8I4yuSMjc3lrWZRZtOK5q19LTiz1mjYK1aDuuxY1JmjT7z\nSNP4fnV0B1ZKKWWV9AuslFLKKqmEuFXQEBBbJFycOXNGH5eS8QDKCQKIhC9qzlw7du4XHgSEMUny\nQjGjD5YpCo0FDwIOnVKSeFrE1YILuXvgaHDkyBFd3HvvvXPfkJgQ2T71qU/NfUCd48d8lE/pNpYo\nfUzuAJKS6BJnj9khbZRHx7PjrCyJ0Zj0LklJVGh538eOPJWeU+iZJuhhEC7sI340yFbqLfWkarcU\n6Ma4kEw13kxXT6Mabx5Wx8qRVsZs5hF06l5mxmKxoWeKPObNorjoAzZXiBgSYkYr6m+NTrJyECHl\nxIEdMqRMdbJyDh06pAviuiSeszD4Q6DOJZm6bKY7sFJKKaukX2CllFJWSSXErYJyiBJioTaZXHxJ\nU0LfkCSIKJEKiRSPzGdP9h15QGU0DxFjUqX4SCcffvjhuTyxa9nETTfdNMa49dZb9fH++++34WiY\nCCl05tprr9XFX/zFX4xJWUURsoAhk79G6Fp/+Zd/acPEYhKRMtk8ipn+CQWV4dscYSguCFZTH9Du\nGA41SNfNIDYT2egDy4C2Pv/5z4/dJLV0R1SdFtQ1IiuVKclj0lTl2Lkhl7zkOPO5HdP6VxOsKPrA\nLGiFpOhq+ewziotu33333WM5tTzglMufEhdzT+ZOUkArH6dcRocaadop48VxN/9sy6XQHVgppZRV\n0i+wUkopq6QS4lbJA/0EksKNN96oC/wSpWtlQCuiilQI81Ibk6YkpQgnQwSiO+64Yy6QSbhNQkEP\nJNnS7bffrgvLbJQJ7zWcn/iJn9DH3/iN39AF/loCQQxwz5NbWiYjNze8lGKQyOQShrSISIXqKCEI\ntYdRYBBVztw9//nPt2GaWktbjEujyAzxth7MrTH/iS7xICqlEp/bOZ/zBZVLZMvMUpZ1LAOZQXcY\nJjUjsklDS4XcknLlvLP2TDxMD0C7vyQVZhAxvbVk8/zhQM6CMI9fusofiIEH7Pnz562tix5MWnal\nO7BSSimrpMl8twrnQuHvoNdAO6JpxJFLvPzaMUhj5xfjfOvn5U6/nPMWyR6FIBW1xQtpvidql3Pg\nwAEbDq/5etZOIBvTj/aqgVRSjJdhahPDMHPvIu8GmmAUVKWVnHljuaM62Q1wahclVTld4qWYziy9\n3VNAVTE1hBbhvKNRMMtMChFj2hVl+JfFnLHvzK25qspcU4msvZT1eOzYFrcI/GVYIdqCcJ8j5eit\nukH0HpOVd6xmdmCyAHOExdj9WN8yFs3ApFSlO9aTMU3rhkPm5kYPHz6sj/zhsJ61jBkUfxesEM0a\n/y2US6Q7sFJKKaukX2CllFJWSZ04vjZYXAjyBTKOpcyxzNljUmnsjHl45StfqYsHHnhgTD/yI3SA\n5TdCpkNskVxD6qnU95Sl6cSJE/qIQoJmIrGR0eFRgoSiJlLeoQYZhOFnynDpPPQNkQ1XC/3ThQsX\n9BHRCUxOx8IYXxZAUELvQq9TAfrAcIhak2VyFKC2MjbLOpneH6Y6sqJS/jLT8WCq0ybT0SgDV+tM\nIisEHxMtDAzLbDI7qoEKWcbmlJRrEpvLmAjmmI4CSy4YePGoZDq5MF4da8dJCGDBdmQ1YzgWMYYY\nS9+QjjfE0pUNdAdWSilllfQLrJRSyiqpF+JWQbWwQ+gTZBlTSBBh7EF86hBAaEvPokmiKT311FPz\nHdOLRqTGz5gVNBYdR0mFQJ0S7jKtkbkCch9pBTEKD0aBGoOhdAcVi5oZuHRLBCUc2yy/UYYBmUMj\no6aqpdxLXDApVjn37ZxGFOYMa1s6hdIKMEf0wUKvRkiI+V+BKqHPmfhKBQiDQ4TE+PYxA6RUueUD\nG6GlI8rh+Jp+udZJO0MAU+Ppx7hkAeqhBmyoCMiTJ09aJ7GYVgI1MGu4ZdpfK0nI+CPVjJ8+fXqU\nvdAdWCmllFXSL7BSSimrpBLiVkFSsPjTlFBQIXSBhAJoaFJCUNIAdcKUPTwAUdsktqBy0BnLV4QY\nxZqx5Pp5yiLocMj0B+MRNUGBPHRRyg99Q5WyBYyyZJm04KI5e7KTaIySMakQUY5pFXSSKeARpEJr\ni+mTkVM5TPVVpMucFUgt8dITn6t7DJ8auCPXVosIHrEALJZ8RKYryjPvFsgMrEksZjn1Ae9Tgc6Z\nubWsofQRVeUoyZjUzgpYcnccOxZjwaRTpQpUQtwr3YGVUkpZJY0D2yrsG3gF086DLE28mVpqnDyc\nnnAuvdVSXjErY9pgacvFGygP8ou6tmj5mswbpY5KuvPOO2042leNnbd+NoW5rde7KjsSvB7I1av+\ns6VjvFSlyhk+2wjeYS0hViKbZ0QdezVVnvFA7AYs25ClMKYJ3tB5Z8cyqtPOshpxXD0fM0ez+Whk\n7rF01hA41Fg+3MwxRg3a7jBqS2o8dnZO1MBGyvZPuTVh76KBsLczx4q0QG6kZKsNCbEEwgN/YthB\n42WYucO2Fq3z3MEs6d2jqvgjZVCskIseV1Z2pTuwUkopq6RfYKWUUlZJnTi2yhVXXKELBB/9DI4W\ngYTCQVnK243CwLHluGaohvyFGalEQVqc5oU6Rw3SDJE7LIhn7KiR5sswJrFF4lJ6oKQ8JdBSuC83\nEJqmk+Zzkfmu6LZMl2dWIXxpvAhHSGo0IX2PPi+pkZYGbEatZ6yenawGmfdIJRkm6wGRTU2ki8r+\n/ft3bYKSTLc5kqRKCVp1GAoVzpKm5/8hprXmGQIsAP0T2jIwTZbxi/uMSwX4A6FplqtJpqxSW65M\nwdJwmE0qtDiwXFr4XikOkrFQ0s6OIEl/uUS6AyullLJK+gVWSilllVRC3CpHjx7VRSp+BpKRNENy\nqOPohY4nCQjVAjct7qgAsUrIOGhKEjpQzPAtpK3XvOY1YxIhP/7xj+vCtDIqpGlkTBssbZm4xIPm\nlTfitEk7Bn7siGnpzYWEKJNahqH5Eck4GYL2ile8YrYMef3R4lACpREhytEEjaqTG1LFm9jIZCEV\nykQZBkdVV1111VwDFiMjPmcIWNQRTdAHldxwnqeprNRgEqKdnDDGePzxx+c7dJ4lZxojJk11WtDJ\nFPqsSxiERvVPdrbkPDqt21SnzSDMBeucC1OGgSYsr3+5RLoDK6WUskr6BVZKKWWVNJD5a4OFNBLo\nitsS2tqjjz46JhEG7RFBwxJdZ7yqFBIcnNBS5J04dpSQzLGNVnbHHXeMMa6//np9RBhEz1Fb6FrE\nUBv0ORMjqSr6nMqqJKNUirCkeQCipFFAF5gaTMZE1SFOGf1KA0ekRfAha5F5QmIQqlJbmZSd8cp3\nziLEEyx844036oJeyTLoYxgErzzWmMaLtMgw6bZsxTphCZnNAaWU1uVeiJMhK4fpk7VZSOnAKSMj\nGKb7pdYSLWIxcxZN6dgOBbXUASOC5TPSGYtp+niQ+wxH3WalZaTz0qkUZTPdgZVSSlkl3YFtFd68\neCfV2x+BNbyR8fa3lCmHtzx7Sef1kJd6vdzlGygvs7zvC97QLcxLe8Exvcvz1q9Xy4zNspRCBBKR\nMorX3jNnzozdjpzHYvaKynAYpqrKN1n2rLogFA94ebd3dkZx4sQJXWhSLPJsxBFT7OHwksBi5qOR\nO06NiznNFL1aAMeOHdNH2W1EqmXswG6PXSAn36sM9mFN8qxmjRqYlHSpsAKcwSa/HorRB+rUwDN1\nFsNRAZZBelLI5lgSFxXLnJu7Inolm/OXxSjyT0nkH6OqyizYlNTSsnPU5t42AuyrozuwUkopq6Rf\nYKWUUlZJJcStgnSAQ8S5c+fGJHdkvJdCx9BkUkJRneghyBdUpZ/iieJKJHllnhukMAk4SIsvfOEL\ndYGEeM8994zpx38NaoQolzl4rrzySl3IYYTRITaia0nnIdQM+2BSZfQnvT3KGEKf6Xup50i2QmLi\ngnFJhsJ3gxosJgn5C4cakJaI3fCPwDLXXnvtmI6cz1MIVHl6eVCVbMugMmU+spUGyLRiKKqSWJo5\nlswFA4MsHYjFtCKUHTx4cB4OGqyF/Y2dhU3NXJishzJMAQIlzU8EqEF/IHQyLzTwFOGpU6NgabH2\n0C3ldMOoUVDxoGk2+q+O7sBKKaWskn6BlVJKWSWVELcKQgHOY9IlECuQ1LhjEhCSESLSkh/jm9/8\n5rlRkvcgvlk0ElLSE088oQu0pgceeGBMCfJTAFSBVAgtpAbRhggzLiQZIQQhISLHqQbuI9fQSTlJ\nmgfdjOQ7CiBvYkn9E8ohvUW/1XB4ECUQ8U2aYR4yiTwr41PAMiphEEtzPo9XncygPTtcEe2R0CtM\nh5G1xpD1cJVEtpUea3nfs9Gl5EzAXLD+TVylaWQ6SuqfzMdyTJK4LMYokPXog6aJTqZYp7+dTCGG\nkbU4M0kVj+gOU5AewkviKjSl31dHd2CllFJWSb/ASimlrJJKiFsl5Rp5QKE53HDDDbpAM5GLF0IQ\nQp9BhqSrr75aF4iQegTPqH379ukClUkuUqg6R44c0cXZs2d1IbkGqY2zEwltFohvyJ6IbxoOo06X\nMGksiFQve9nLdPH+979fF5IKUVowCBKihmkZlcYk+MhE1IC/IlHVmh3cOBkvifx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"output_type": "display_data"}], "prompt_number": 40, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf\n", "imageplot(f)"]}, {"source": ["To compute the final texture, we perform a *spectral integration*, which\n", "corresponds to a low pass filtering.\n", "\n", "\n", "Fourier frequency localizations."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 41, "cell_type": "code", "language": "python", "metadata": {}, "input": ["x = [0:n/2 -n/2+1:-1];\n", "[U,V] = meshgrid(x,x); \n", "S = sqrt(U.^2+V.^2); \n", "S(1,1) = 1;"]}, {"source": ["Exponent of integration."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 42, "cell_type": "code", "language": "python", "metadata": {}, "input": ["alpha = .5;"]}, {"source": ["Fourier domain integration."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 43, "cell_type": "code", "language": "python", "metadata": {}, "input": ["F = real( ifft2( fft2(f)./S.^alpha ) );"]}, {"source": ["__Exercise 5__\n", "\n", "Compute the fractional integration for several values of alpha."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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P+qdqJT/l1Nay5BUVxnwHAFzGOe6/aK5n8fz8nGOdG1Dzpcp1qcdj1LPEccxy5SkuLi4U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\np3qhPugJCV4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"output_type": "display_data"}], "prompt_number": 44, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo5()"]}, {"collapsed": false, "outputs": [], "prompt_number": 45, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 6__\n", "\n", "Perform the cascade for several log-normal parameters |mu| and |sigma2|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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7ffo0TKDT6TSZTHq9Hp2X8/Pz8FwR7TEM02q1EKfimuVyeTAYIOliNBqldxwM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\n5uY4i0VkfX3dYDD883/+z9fX1wcHBxXDNWl6JpNhg7ARdnZ2zGYzxGn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7LPvP//k/K7pP\npRXEQL4ClLdaLYoeBwcHVNsIxKrVKs0edMKYI+l0OryZq01PT5Og1Ov1ZDIJdoP+7fDwcK1WW11d\nhS0tkUigMg5ocHBwkHwrHA5fvHjx5s2b6LO0Wi0AS3BnHBwcoA1mMplisdjExIRerx8aGkqn00aj\nkcgUPsZms6nRaOBspEBKrlkul8+ePctMG8+E+9fpdIVCgRqjiJjNZgqDKB7F43HYfq1WK0BnVJvh\nj4dtIZPJoIrUOTaz2cyfsBtTsEqlUkr/muEweEnIgOv1utPp9Hq9fAuGB0ql0u///u///FfLp8bm\n5+enpqZGR0cZF2EUaX19PZ1OF4tF+l4DAwNHR0darXZtbY06gcViMZlMQ0NDPp8vk8kMDAw4nU69\nXu90OoFCMHfFCOPBwcGzzz77+uuvM0Bit9vJ8inoNRoNxcB7cHAwNTVlMpk2NjaMRuP9+/crlcrG\nxgYFjxdffPHmzZtarTaRSNDWYlfCm9Nut5vN5u7ubqlUyufzrVarWq2ikyIi7XYb5TMWodfrBXwL\nMVWlUoF4V/GU0pqizE7axAxZqVTa2toCsWwymUAg12q1qampaDQKGqvRaKytrSH6zGiK1+utVqsK\nycU/gVjO7/ejRsRYQl9fX7Vadbvddru91+shYFStVqEgsVqtHCyNRsPhcPy7f/fvfmHr5udoJyXE\nxzIFzoaRzG63s3CNRiMIPafTSb9HHgE48AZVUqAlTh2vWq2CGKZOeO/evXa73Wg0FP93oVBgbnp5\neRk6HDlu/IJXrNVqR0dHqsHWarWuXLlSrVavX79OcTKVSh0eHnKHvV4PBKCIDA0N2e32//gf/+N/\n/a//FXTygwcPuAgfXa1WW62W+gomk6ndbg8NDQ0PD2cyGcqhVqsVuIci2leWyWRwcvg2PhHAPR6X\ne97Z2WF4q9PpBINBPJl6gAsLC/39/cViEbiKiPT19cViMYfDAeyKd9IPcLvdTBQ8ePCAitCpU6c+\ng8Sm/+QWi8XAL7Rarb6+PtRJFBlSX19fX1/fyMgIjajnn38eHi8FPurr6xseHqYHBr/a+++/v7a2\n9sQTT2QyGYpgo6OjN2/enJ+f7/V6rFIRyeVyR0dHhEHhcPj06dMKdHdwcBAMBtfX1xFsZKW12+0f\n/ehHfr8/lUpxrItIqVSijI8e3sbGBoHaw4cPQ6EQUZFC7YNVoVGnQkzeMDs7i2hqJpN5/vnnRQS0\n+qO1dKzX6ykE/4cffqg4duWY/BelPT50dXV1YmJienp6eXmZaipPdWVlxefzIRBqMBh+8pOf8DW7\n3e4zzzwTjUZv3bqlYGLAjGOxWKvV8vv9lHYV+/ZnwU4c2GOZRqNRsl50ZXAShUIB2Decb5yeVqt1\nf38fJTqOWg59XBfql263m9UGvwZiVzgqtf6YmCanUZiFTqeDBCXwRW6p0Wg8++yz/+t//S+73T42\nNgaOMRKJ0IRj82SzWZpP58+fV2KVkBR/4QtfEBGI49Lp9PPPP//RRx8pGntuJhgM3rp1S6fT8S3o\neXS7Xbfb7XA4ODKSyaRWq4WaIRKJQALCEwsGg/g8hHq55t7eHnS9EMyz4TlBmAxjQpYjQKfTTU5O\nIk2rYmedTocm58DAAO1GjsW5uTkULz/5pfFptnQ6/SiVyebmJu0WBSmampqam5tDgkC9LZPJ0CUS\nEavVCvChv79/bW0tGAzC9QcYREQg9UC/bWRkBMwIyj7IxhK6gVO3Wq1wW2xvbwOjV2uDpaLX62dn\nZwmbyGaMRmOpVALlRExD325wcLDdbsfjcTZFu912OBzf+c53Xn755ampqYcPH6qVz+j9xx9/TKNO\nRAKBADUYp9Op0WgY5RaRU6dOMfuo1+vHxsbw3E6nkyINAyFKsSgUCtEDC4VC2WxWabLg9ZGEbTQa\nCiFMxSKdTl+5ckWv1yPJVqlUoPPo9Xrj4+PQh5KEfWKL4pfLThzYYxkMGiICo4xyBlDmqDobm1ar\n1Y6OjlJJcDgcFOK4Duey3+/f29sjqHQ4HACR+W+fz8depawBeMThcKgZFKW2zMQxZ3Q4HI7H4/hR\nBU0Mh8NQWogI9QfyyIcPHwaDwf/23/4bYyVyrE55/vx59Fbm5ubUx1GRE5FkMtnr9ZCQfvTJUBFS\ncIxMJsN25XxhT1LGqVarABr5h3Bo0V2nYMiuA6IZDofh5B4eHibA5zaMRiOvqOs0Gg2wHiaT6eDg\nQLl/NN3/CdfAZ9C+/vWvKw7ofD7f6/WGh4ctFotaHktLS9ls1mAwbG5uTkxMkNaUSiXYK4hIGHuq\n1+srKyugvZeXl6lvi8jBwQETI5ubm1DTish7771XqVQGBgZUVePZZ58VkZ/+9Kder7dWq42MjDSb\nzVKpRLXQ7/c/fPgQrhyFrcWQTfH5fEoPD1yS3W4vFArFYvFRgVa0I7rdbjAYVA5sZWXl8PAwm81C\nH6ysr6/v3r17o6OjSrg1l8v1ej2+L6wl6us/ePDA6XSOj4/fuHGDV6g9eDweVj6EHXJMHxwMBqnM\nq2gvk8mwnvf39wcGBjhSNBrNV7/61fn5+UcFwHDb/xS//6+AnTiwxzJVKKMN5nA4iPIsFovL5UJ2\nC9EEEQkEApBloPWl1+tJC0D9nTlzZm1tTYVIfr/fZDLR0FI6dRjdnTNnzqiAF51yEeHUEBESQazb\n7d69e9fhcMDJVCwW3W43jQoabIpiAKtUKtlslpo7V7hw4QLcB/STRITi+/LyMnSLRqMR7+hwONjn\nZFQ0Kk6dOjU0NKSo97e2tjjClDIFTw8PPTw8zOtAE9W3MJvNlA3J8BSbBkUeeHqefPJJQnWCA71e\n73K5FJOIHNMXParcdmI/g927d4//6O/vp22ZSCTu378Pgzu0Mnq9Pp1O4xvQGUBlOJfL5fP527dv\n88M9++yzUI5dvnx5cnLyxz/+MTvI6/XCsclSwWDX1Ov1iF7mcjlir2AwGAgENjc3jUZjJpNRA/jU\nA0CTFwoFRfd+eHhI721zc9PpdKqgp91u37x589KlSzRKebPKLK9fvz47O8s6X1lZ0el0DHv4fD5c\n4507d9CVrdfr165dU45tcHAwFovt7++73e6ZmRlFYiIijEU3m80XXnhBxVjQdYpIq9XK5XJUJuv1\nukajGR4e5rKK0vDGjRsMzDGvyYter3dyctLpdL711lsqHq3X64pt4FNvmpNN/jiGApCIGAyGer1+\ndHTEUjYajUgVIynJmwGIOxyO/f39c+fObW9v828h1bXb7Zz7bL9KpULhUY49FlcGsq/RaJ566qlk\nMgltQbfb5exgehHYrjJqMrAAiMj6+vrZs2cZPQ6Hw3t7e6xvKACmp6epNMqxX1Fucm1tjZKLHNOq\nKmpUJWMWjUZh4oDeEA+0t7f3/PPPk4b29/cbjUYOoHq9jmMGK6xoC9B/0Wg07XYbmUERYSQcITQ6\n4USs5XKZAo7T6QTEzKNGSMJgMMBRxG3zhM1m8w9+8IN/6rXwGbI//uM/VotzYmJidXW1WCyCxxGR\n3d3dra2ts2fPkmokk0kWnsFgcDqdqPCk02nF23TmzBmPx9NsNp1OZ6PReJQLsV6vP//888vLy2pw\nMJlM1mq1bDZLsEWXSI4XnsoLMVwCNYlcLocvLBaL2WwWrZNUKpVIJLhPs9msoqJQKIQfxQjaxsfH\nlcaQ2Wze2dkxGo25XM7lcpEkBYNBjUYzODj43//7f4cii52I48xkMkajEXyKuiZD1s1m02g04rSg\nG9XpdOgxPXjwgJSUj6aTFwgEEMlja9vt9oWFBZvNtr29Tfc6n8/7fD64bw4ODihabm5uarVaaoyf\nejuB0Z/YiZ3YiZ3Yr6SdwOgfy77xjW+k02lYlxAfQSKk1+vBRwCenjdrNBqQxEiuoFNst9uRU2m1\nWkDpXC4XzIHFYtFkMgGpQGqEgcRmswnsEIZ4o9G4u7ur8IderxcsMh9K46FQKEAkqtFocrlcX1+f\nVqtlzvqrX/0queD+/r7D4SiXy+CV0VwGzQ+fiMfjUZVM0jKTyUTe6Xa7Sc4ajcb58+dheoQ4Q6vV\nDgwMILBCzhSLxQjP0+m0x+Oh39DpdKgpNRoNHiN9PkX+C+iZtvz29vbh4WEul0un07AqkJ7yQ0Br\nBBPj1tYWoA9uoNFoaLXaw8PDP/iDP/i5L5ZPj+VyORh4RQRu+L6+PjJgESmXy4VCgRKuiCgZBJ1O\nt7m5CYcTibjT6RwdHe31eltbW6Ojo4xq5HI5rVbLPP7o6CgiRHa7nSVBZQzUQ6vVQscZyO7c3Jxa\nCeVyudlsnjt3rlQqHRwcMDtMn7jb7UKeubGxQReZxcywM8XnRqOBYmoul+t2u51OhzxJ5Z3QGCLm\nsru7+/Dhw7W1tbGxsXg8DhgEGc++vj5Y5CkS5PN5VRVfWFjodDqUuLvdbjabhZWDikgoFEL9xGQy\nAbXvdrs6nW56ejoej9+5c6dcLm9sbFBThR6B5h/YJdJcmnmhUOjVV1+9cOHCmTNn6vX67/zO7/yc\nV8svxE56YI9rlJUtFgvgAnpR+Xze7/dPTk7CMI07KZVKtIhsNhtUZhTrOp1OIBCA/EL1ZkUETSyK\n+0yfyDHHrsViWVtb6/V6lBdGR0cpJsDKSGFdRLLZbKvVYjfa7XZOnKtXr66srNDlHh4e/pu/+Rve\nDHE+NxAOh7PZLDixeDyu1Wq3trYuXrzIYBbfhRoIfftcLgdrzuTkZCqVunDhQiwWM5lMilAul8t5\nvd5isUiZ6J133hER6OkmJyfv3bsXCASo8MDWn8/nTSbTuXPn8vk85cpWq1UqlTQaDVIycnwywokl\nIk6n02q1qrkCPhc+OiBnImIymUql0menE/DJmeozmc3mUCh09+5dmCpFxOVyBQKBVCpVq9XGxsb6\n+vr4gdxuN/4DhTmcAQwyRBhckM0CyBBzNgoAACAASURBVJbS+tbWFlW4Z555hrGw4eFhg8Fw6tQp\nMLGIlTAuIiI/+clPuJNEIpHNZoeGhtbW1k6fPo1vw5n5fD58CcTQ6nsR7SnVvWKx6PP5PB4PYspL\nS0sEYSKSyWQY0kLMjEvt7e1BXuX3+7VaLR6dFmA+nx8dHYUUmxvA/+3t7X3lK1/5/ve/z0VAWhJp\naTSagYEBnl4oFLJYLPg5r9fLGgajwewmwaL6IoyRVatVNRuwtbUFO/5nwU4c2ONaMBgkRQDwysIy\nmUyBQGBvb89isVy6dAkS6Gq12m632+12KBRCFk9xlOFg4EPCJ3GaLy8vX716NRKJbG5uUpR3Op17\ne3uhUMhkMin1BPoBIhIOh9mlnAKf//znr127NjAwAN8MH7e/v/+7v/u7f/7nf/6osxQRIFg0xtmu\nQNKdTufGxsav//qvr66ujo6OgssgHBaRYrH4KHEiGMvFxUXkAdlgSj+lXq+HQiGbzUa532AwTExM\nMHoJextPw2QyKe55lbel0+l2u93tduv1Oh0yYgWoivHu6XQankMGEjgIarUaM0Misre3B7b4E14U\nn37Do/z93//9008//b3vfe/q1auLi4usxomJCY1G0+v1SqUSiTVRxec+97l33nmHNEvlPYy3090E\nYUh3Z35+XqvV9nq97e3tarUK2hBFLpqaJpPJarWqSGVhYWF9ff3SpUvXr1/f3d0FxJTL5YLBYLvd\nHhkZsdvtoMltNtvs7CyqBXJM+Mt/w9Pm8/kQLpFj+iuAfwAdVZ+sWq2mUqlgMMhApIi8/fbbwJID\ngQC4IdVw4oKpVArdPhFxu90ulwt5h/v371O54Z7BKEWj0WAwuLu7Sysa9LyIDA0NaTQaAFnz8/M0\nv0EaK2kkh8Phcrk2NjagyyL/MxqNdPs+C3biwB7LdDoddAN2u71cLitxyFAoxCoMh8MEpCKys7PT\n6/W8Xm+73WY0inXPrAkkGor/IpvN+v3+3/qt37p//36pVKrX67B0J5NJSEu9Xu+ZM2fee+89EUmn\n00TEjUbDbrevr6/jezY2Ni5cuDA0NLS5uTk1NYXbODg4ePjwIYUOipkEbo1GA75dOe4wX79+XY5n\nQtfW1ubn53/t135N9cmZ3bbZbIqPUURAWOn1eoZsQEzxrW02G/OV7Xabazocjmw2C++ARqPh39Jy\n1+v1TH3p9Xpuu9lscmBRmDo6OgIdg6wtxx9HIfdGZtbpdGq1WjqdZuuiyMyJcGI/sympHQgjXC7X\njRs3FDu7iLjdbrPZ/Pbbb1sslpGREX4UhD80Gs3U1FQsFgOscerUqUqlEolEbt++HQwGE4kEwMVe\nr+d0Os1mc6vVGh8f/+lPfyoi/+yf/bNkMgm/bbVajcViigL/xo0br7766gcffLCxsaGGOjQaTSQS\nGRkZqVQqhUKBxH10dHR7e7vb7aZSKafT2dfXx0UqlQqiYiLicrlUyt5qtajI3bx584knnmCDOJ3O\naDRKwjczMwPZo8vlgjYaNZPbt2/zlKhsO51O2OiJcX0+387ODkgNwMMEZJQlECXPZDI2m41IEQzh\n4eHh3t6e3++/ceMGt0HphVkUjUaDrwqHw+l0enx83OPxvPfee7h/l8ul5hw+9XbiwB7LILptNBo2\nmw3mXDWhjNxJr9d788038WoWiwVWbAanVAZ25swZyN1NJhMySCJy8eLFWq328OHDjY0N4Hn4JJvN\nFolEeKVSqZBwBINBgjuTyWS328+ePavGjcnMyIS4gkaj2d7ehrNqdXUVvmoRAXQ+OjoKwmpxcRHV\n3Var5fP5EokEFVHiRzV2ZrFYkFRmw+ODNRqN3W5XgS1qLwcHB1arFfwhAfL4+Hiz2Tx9+vTf/M3f\nHB4e4lcoMZXLZQiH2L3c3j8QDqUjeHR0FA6Hd3d3wRzyV51Ox+/3457Z9jTYSJH/AVbtxP5/TWX8\n0Wi01+sdHh6OjIxYrdY7d+6IyIULF6jZnjlz5syZM4lEghwafikyiVgsBrAQfvpMJnP+/Plmswn1\njIiEw+GNjY18Pv/lL3+5VCrBtPvWW28hxRCNRi0Wy4ULF+AUzuVyFCSbzWYymUQMSES8Xq/SX61W\nq1zkwYMH5XIZgCuJEe/R6XRkh8lkEicqx73evr4+eIQfLfKbzWaCpOvXr9MRIDciOEun0wyDigiC\nk0pxiSUNtBiqJ4PBYLVaqbcvLS0xQ4krUtEeImF8tNfrVaqYvV5vZ2dHuVWent/vh/Oeui6LPxwO\nqyt86u3EgT2W9Xo9yg4iwupnyVJVz+VykK0R4gHioNgYCAQQR1eXQsLnmWeeYTM899xzf/Znf1Ys\nFhnVmp6eVsh1MA61Wu1//+//zWlOQR8uDxGpVCpchAiRGE0VJ3k/3gIQBKv/woUL6XQ6k8nwb41G\nI9VCuhTQuB0eHsKa88YbbwSDQWLGRCJhsViIeVUOB4yeEgoY66effhpSklarxV5l0nl/f590UBEO\nwbbAdDNMbjw9mA4Ih51OJ343mUxCSUcuyF7VaDSMxKKI9qhWZ61WU3WnE/vZTKPRILJMFjI5OTk0\nNLS6uopylYjs7e2Vy2V+UBVvHR4ebm1tvfbaa9ASqvgGFMPc3BxHLX2jq1evVqvV/v5+hOUYpUfg\nNJlMvvvuu3fu3Hnqqaf4iHQ6DZ7eYDBcvnwZzk8RYfRqbm6OAjIugXTHZrNBWLO5uamgGUDVM5kM\ns5Ii0mg01N/KcXwmx1xTW1tb+Xz+pZde4spoA7Xb7cXFRRizuCBUcHq9ntMAF4gMELXWfD7faDTw\ncHhZZPzYgGzqvb09Nr7dboe+REQmJyehBo3H44lEAmUWEdnd3T116lSpVIJxkZtXUzefBTtxYI9l\nmUwGdF+v1+MkVQwXDofj4OAA8SqKBpy8SqR4f3+fQjYiLP39/WazOZFIwDN769atU6dOPXz48Otf\n//rdu3fhlRARmrpwoV68eJEVWS6XHQ4HBDZQnxF/VavVSCQC1dPQ0BChX6PRODw8VJSmiqtpfn5e\ndZKYKsVDgApjJxcKBZSZCFpLpZLJZFIwMBFhaliOm/Dko5OTk3t7e/v7++FwOJlM6nQ6pUkxMzND\nZQmGOjmmcZPj4ECOYTI2m01RR+bz+Xq9TlzPPYOZvHTpkirmxGIxWB+tVuujuoKKL/HEfmZDJEhE\nGo0G+sXLy8tGoxG+jHw+r9PpoIxJpVLDw8MsJOXhOOXJgwcGBpaWltAvRV6S5hP0HA6HIxAI3Llz\nhzUAzVIul/va174WCoVSqRQ/t9frhWk3mUweHh52u10Ffbx79+7h4eHOzo7dbmdaS+nzRSIRv9//\n4x//WC2PYrE4Ojp69uxZhRymFwuIF7EhHBg0p5OTk7u7uyqtUZrpp0+fvn//vuLscLlcFAyh91TC\ngWNjY36/v1arMfvIm0dHRz/44AOkjojwcJZ2u313d9fv9587d25jY0O5VY1GMzo6ura2xhyeGlmD\nlKRYLCryz3/ADPDptpM5sBM7sRM7sRP7lbSTDOyxDG5Nm80Gu66qA0CPzawVQ0tyzFvhcrn6+/u3\ntrbcbjdtgEKh0Ov1VlZW6vX6V7/61bfffltENBrNT37yk4GBgd3dXTgCyD8ggDebzVRaFKkg8yJQ\ngXS7XeLERqMBozw9NgUPGRwczOfzw8PDv/d7v5dMJkFPeL3e1dXVcDjc6/V2d3cjkQgB9eLiosvl\nAoyuOuEiAquTHBP8qGYVU2gwDFFaSafTzWbz8PBwaWmJyTaELmlcZbNZgkdqj/v7+/TAQWQYDAZS\nOljzmYfL5XKVSoXX4TZsNBqBQODmzZs8kPv376veBl+fxDcej7tcrhMQxz/SoIkSEa/Xu7+/7/P5\nxsbGlpaW0EukPOjxeNLptNlsvnbtGj8Koj+pVOrcuXPLy8sMaZRKpdnZWZPJdOPGjU6no6RHC4XC\n4eHhzMwM+CYQH41Go1KpfOUrX0mlUqyWyclJEWm324ODg9/61rcQCVIiPnIMoEgmk3S8uA3o2Xw+\n3+bm5vj4OOkasCAI74HLcmUQkvl8Hl1mtiGSrXANq8fSarVGR0ePjo4o2odCISgwrFZrMBh0uVz5\nfN5ms1FXgBH04OCgWCwaDAaPx0N7OJlM+v1+5slgmSHZikQik5OTV69ebbVaQ0NDCGxaLJbZ2dm9\nvb2pqam7d+/q9XqmWVSR3O127+3t0aqYn5//7Ei5njiwxzLQ8AaD4ejoiEyffUURTA1z8OZgMNjr\n9e7fvw+pjMFgoAVN54YWcS6X4zqQJc7Pzw8ODrpcLrXyFhYWotHo2tqa0+lUIykMAlut1rW1NY/H\nEw6HAbX7/X4KF5cvX97e3qZXB2GjVqulwjA8PDw3NyciR0dH0Wi00WhQhQf0KCJDQ0PxeLzb7e7t\n7T1KiYs/ZquoGogimkqlUmazmWY4g246nc5ut1ssFjyNiDAhtLS0dP78eYWnajQarVZLq9W++OKL\nFPrpc3i93q2tLSa+QWyysXO5HFj5xcVFiq4iYjQacWDBYNBoNObzeQ4pKoqPjsuc2M9gFouFchwN\nKuIYWL5EBLU5ConUr1iNhUIhFovRHN3Z2WFJz87OQv1O4OVwOPh1CHry+fzdu3cRHBCRl156SaPR\npNNpl8s1Pj6OsI6IzM3NUS4OBoObm5v9/f34KkBMfr8/n8+rJqiIBAKBcrlM3MnEixyjajudjslk\nUvyHbrcbET6+CCNoIoIGSr1er1arvV6PCifzl9euXQM3hBi0iBweHqZSqVwuZ7PZVOcYWt6hoaFI\nJAKGkBDQ7/c/9dRTaIMRB+OMZ2Zm2E1IK7zyyit8l1wul81mmQ0vlUpsmdOnT8/NzRWLxfn5+b6+\nPuJI6Ag+4aXxy2InDuyxjEXPVgSPxxJBxU5EwFawJ2G18Hg87XY7Go2qbAaBH9h7h4aG4O783Oc+\npxBW7H/q17DiRqNRm822v7+veNU4RBBAyefztM0ZRlZxHzuBSr3BYCBevnXrFp5DoXgrlcqVK1cm\nJiYuXbokIn/6p3+6u7vrcDhKpVImk3n55ZflmEK3UCjgeiEpFhG+HT2zRqMBsoOOCCgvEVlaWlLz\np4VCYXBwsNVqQbQhIqFQCA7WtbU1eDSYdIHLzmw2427lEdEmJrvpYJ86dUpE4vE4QvJarTYcDitR\nMYPBkM1m/wFx/on9/xokMnKsBFSpVIxGo9FopKKwtLT05JNPNhoNztbf+I3fePPNN+W4eEDefObM\nGaay+PUZt3/uuee+9a1vXb16lU8xGo3FYpFtxdL98MMPo9FoJpMZHByEWloxFsZiMSR44KFmx5FU\nHR4eDg4OJhIJNXdBC3l+fj6fz+OJRaS/v7/Val2/ft1isYAwFJGJiYmjo6PV1dVAIAA5CJMhf/u3\nf+t0OqempgDBchvJZDIcDofDYSoichzPybFaQiAQ8Hq97NnZ2VnQmJOTk8VicW9vj39itVpXVlYy\nmQywJr/fT8MY1n+KB6rXDkhqdnaWOLVer+NfoQWv1+tcjXuwWCxPPPHEJ7YofrnshErqsey//Jf/\nAnNEvV5njgq5ECSIGPDyeDzAjkEltNttgk1EFwuFQr1ez+fz4HRrtVosFstmswMDAzs7O+Pj4/CK\nglliQIrFTZaj5PXa7TYgC0JXg8GAZOULL7xw+vTp5eVlFFsMBkOxWNRqtYFAwO/3VyqV3/u937tx\n4wY+hiPAZDK98sorEIoXi0XmHyG5YI+1Wq29vb3t7e1ms4lCtLo4M8UM8YTDYbI0tjEMWxD14qIU\nvcjR0VEgEEC0kztHmUlBUfL5/MDAwNjY2OrqKtXaw8PDo6OjZrMJzTHExCaTyWw2402ZliuXyyil\n8XuBcu52u3/0R3/0i1oznwJbX19n4cG8bjabL126dOXKFbikcQmZTAbgaCqVgiidwuMTTzwBRRms\naalUqq+vz+/3ZzKZRCIBP6/NZoOyttVqffnLX85kMru7u1ShW60WUxkUBoHztFott9uNsNyZM2eI\nn9DmFhGWpVarpUiADyC9g0oKYXSz2RyLxZg+NBgMMzMzfr/fYDBsbGxwPwy95fP5crkcCoUuXrxI\not/f3//0008PDw+73W6tVnvq1KmdnZ1HNcpBz+r1+pdffnl3d5eb4QHq9frV1VUWKiBDn8/H7AET\n/W632+v1QiYXjUbB1u7v73Nxn89XLBbz+XwoFGKPLy0twZ5sMBgSiQT8PgQNV65cyeVyr7/++i9m\n0fx87YSN/rGsr69Pp9OxPkqlksJ2ozACnRoDTHLMdXRwcODz+aanp/f392kkIPSHqEqz2SS2BXmP\nXle5XN7a2lL7odVqgYbKZDKEfkaj0WazjYyMMECtcrtwOMxGQiid/YzQSbFYHBsby+fzKkFsNBrZ\nbLZSqSAIWyqVKJ2DHAsEAn//939Pb0NEvve970FPQI0lEAjgJMxmM7BdfLbyHAp8TKrEi4lEAo0i\ng8Gg5Jry+Ty6Gzab7eDggK0rIt1ulyzK4/GkUqlyuczTA2rv9XqREKNFAa9duVzu9XoEsFwchcx6\nvf7DH/7wE14an2b73ve+R4EBtsnp6Wmj0bi4uEjePz4+DknS5ORko9FYWFjgMNnc3GRZTkxM4JNE\nZHp62u/3z83Nra+vu1wuRhVFhJ/e4XCYTKapqSmaSVTtoAR8//33zWYzP+vIyMj6+noul2MDms1m\n9gWY9XK5zPi80k8nxlJleRLHdrudSCTcbrfJZHryySfV0kVa3ePxfPzxx263m6RTr9efO3cuFosh\np/K1r31NjsWVVlZWrFarkormIplMpt1usxTpL0DbCAQxGo3evHmTUjlKrWtra4eHhxMTExaLhfHw\nXC5H9QWqNhZ/NBrd2dm5c+fO+Pi4VqtdWVlhj9N95IMsFotKlJ1Op9Ka+HTbSQnxsSwcDsPkhkgH\njLEiEggE+vr6QqEQ2kjk+/wVuNidnR01ew/eAXQ7FBtc/OjoCIXlQqGgvFexWKxWq3D6UawXEZKt\nSqWi1+uDweCFCxe48ocffkh/G1wGjgqdhaeffhol+E6nw+lA86zRaJw9e1ar1VYqFUqIal4HWbKP\nPvqI/yXrosstx0M2DocDrUvyLXR73333XTItGl1ms5k7wdkEg8GlpSVV1puYmFAksNls9vTp00x2\nUy2hg51KpY6Ojhju6Xa7xAcoXipHBauCXq8vFApq8BPp509qNXxmbHBwEFcER5pOp9va2nr//fdh\ngYKENx6Pr62tXb58OZlMsjampqbi8Th7IZVKcbiXSqVqtWq1Wk+fPr2wsMD4v4iYzeZerzc9Pc1i\noAeWTCb39vYGBgbq9bper/d6vTRTR0ZGqH8EAoF6vQ6Fh4js7+/jyehpseoYelHkzpcvXyZkTKfT\ng4ODII/29/fV0KQccy1GIpHt7W0A7qj9VSqVL33pSw8ePHjjjTe4jXw+D3Mj7DNKSikUCkF5A2Eb\nL9LuBTbl8Xio/u3s7KDPwpyAiMCgHQ6Hb968efHixWq1+td//ddqQJvHAhMQgzFcXKfTMXLq8XjU\nfN5nx0663Cd2Yid2Yif2K2knGdhjWa/XQ4/VarWCnSPKM5vNRqMRlK0CfCP8qFrWCjHsdDpTqRRy\nwy6XS83Yw0LdarUokdEQcrvdVO1IMlSIp9PpyKtEZH9/n6iNjpTZbN7Y2KhWq4SlMFrt7u6CeLx3\n7x5Fv/Hx8aWlJeo2i4uLKk6EUKNer9fr9dOnTwP2JUBWXXGfz0dI3mg0FBtIt9tlJAABF3i4ARAC\n4hgaGsrlcmBV2u02wBCoDcAWw6gNxgS+j1artbCwoNfre70ewWYymezv76cKVK1WSfX0ej09PB6g\nRqNRXDuTk5MQ653Yz2x3794FpJrJZLrd7p/92Z+Fw2GFqdnf3wdY2O12/+///b9yXHswGAxjY2MQ\nbAKjEJFer7ewsPDaa68tLy/Pzs4uLCyw7EVkeHhYr9dvbm4qOCsiI+12e3l5mWIjbGeVSoWS4Nra\nms1mo1EkIqVSKRwOs5JVpQHlI0rrTqcznU6rSkCz2czlcqxqaqS9Xo/eajwef+6559RYMZ/ucrmo\nz1PQo28Xj8d3dnZee+219fV1XqcvkEgkSARV6ZI1mc1mjUYjBN8iQuUcQRaPxzM9PU2FY3t7u1ar\n0adIJBIK21ypVF577bWVlZXd3d2zZ89yevARbrd7bGys3W7D6MGe+uRWxS+VnTiwxzIKdFCipVIp\nvV7PXj06OsJvwbLBDjEajejGtlotl8ulSNXQA4PJ0GAwUNB4+PAhPWdEwh6d9ofWlv9QPGkszXff\nfXdiYsJoNLLhI5GI0+nkDnu9Hr4HrHA0GqUxDhuIiKytrQ0MDKRSKZ1O99JLLzGPor7pD37wA7vd\nrrhTgYFsbW39yZ/8yQ9/+MPz58+zcyqVyt7entForFQqWq2WqZSZmRlIFGlyQCIsIlBlWywWg8EA\nyFhE6vX6wsICimgi0mg0QEtaLJZ0Ok2rzOl0cvqIiNPpLJVKDx8+xEsphgIQKOAb0byQY834z842\n/oSsWq3+6Z/+qYhA1JtOpx0OB4T0IjIwMGCxWKjfRqPRg4MDfFJfX18ymex0OqiFcSlgutevX7da\nregGKF6MnZ2dw8PDUCgEZkdEgDtpNJrd3d1kMjk4OMhmqVQqzz333ObmpppCAaoKS5PVas3n84hv\niUi73S4UClBIiwh09Xzi/fv3x8fH4fnllVAoBOyCiPDVV1/99re/zb2NjY2FQqHR0dFutwtbbqPR\n6PV6v//7v2+z2f7yL/8STJaIoAHE1Nf4+DhVTWLfYDBYLpfRQ1EM2vF4fHJyMpPJDA0NGQwGIlet\nVsvkXCgUoiSL2e32lZWVVCrl8XgODg7wvngstrPdbufpQYL8yayIXzo7cWCPZUdHRzSuu/+Pvfd4\nkjO7zrxPeu99VWZ5h6qCB8FGW4lsNtUkoyVRClIbhkahxSwn5h/Qcvaa0EYRM5tZjHyQQVIim+SQ\n6kYbEGiYKqBQhfIuMyu99+5b/CJv1NfxxQS+pnqGauRZdKCrst58881773HPeZ5er1argYITkWAw\neHp6SptKhqJZHo+HIjjN516vx4vHx8fBX4kIEj4igqwJ/SSExNSeV/rr6idg1pkFYb5S3eHjx4/Z\njY1GQ9XNs9ns+vq61WrFmVFJR6IplUrduXPnd37nd873ALa3t7mNf/7nf+azkAX6fL6/+7u/Gx8f\nLxQK7BnmRvV6/dTUFFMsMqTb73Q6MLNtbm4SbPKRkZg5P+CJrEwmk8FDE2ziznHYZFqKLkiGMwYi\nwkXgHSbgRdRDDS8D4/w3WwEvpL3//vvgEXK5XLfbBXdeLpf5FsiJ+daMRuPR0ZFiqQdVBNqCF9ts\ntvn5+Xg8Tqfzo48+IkgCVdtut1WuJkOUxPj4uIKY4Ve63S4UmioLJEJiopkdiq6eDGUNYrEYDoM2\nM3+l1+sZK1SB2tnZGX7O4/EgjAA6AzSW0+l8+PDh22+/jds4Pj72+Xzb29u00M7LFcGUBmSJR6cQ\nJbdu3dLpdLVajW27uLgYi8WgM2XIhLiT4sre3p7H44FhAAMl7/f74/E4fS/utl6vd7tdiFj5pJFI\n5MWZgBw5sOcyo9HIXkL3QRX0UJKE6N1isZCIYJQT9Xq9ijT1er3f70cQOZFIcNQ6HA6z2QzRLTTB\n/NxkMoF7ZOtyoHNYcOXNzc2bN29y8Xw+Pzk5qajh2DNWqzWRSIBHD4VCZCoisrKygsBEuVz+6U9/\nWq1Wqcsxdl2v13FRODDyRRE5PT11OBzJZBJvqljAy+Wy2Ww+X+hA7vnhw4c4FfVAVITIJ4pEIvV6\nHdEvtKFJBBGq2N7ezufzlFUVJwjC0D6fz2Kx4Iy3trYKhcKXvvSlnZ0dmDsIC7rd7tTUFCfCyD6z\ngeTm36+//nqhUABHw7kfDAap3UFvqLxXNptlPfh8vk6nQxgBkcrs7Ozt27dXV1cZcBSRjz76aHl5\nOZvNssyA8JCOuN3uUqnU7/c/pW41OTn561//ut1ux2IxuH1TqRReAcguh7vJZIpEIlNTUyhCKBTS\n3t7ejRs3GE2Znp5mX2ez2VqtxoRyt9vd3d3l4zx58sRkMmWz2Z2dnevXr7/88svcw5MnT+Lx+MWL\nF4FNEagZjcY//dM/vX37Nqzz6oYvXbrEPoUmmw++u7tLrAZx4tbWlpoiBcH/3nvvvfHGG1zB7XYz\nGx6JRAC/sP5x57/3e783GAzee+89JrU3NjZeHATTyIE9l+Ez8CKLi4tK2o4JSmT0LBaLitpAwXm9\nXlY2Ly6XyxziYKvYcvl83mw2E3uCkucdU6kUwucul8vr9SqCbaPRaLVau92u3W5XrtHr9Z53FWzg\nk5OTl156Sa/XJxKJWq1WqVQ4dyi/MC8MyB45achww+FwqVRSaRkEWsS8Ozs7sKxyq3q9vlwuqyFl\nGQ4DcOSVSiXwliJCDRBqV0UZxRy0RqMhGlAfnNwUtnuz2Wy1WhXVbyKRcDqdTP8Qg+t0Oo/Hgx4H\nStBKFHh/f3/E5/sb2vXr16nrKg3ScDgMQFREDg8PHz169M477xwdHUEgS+qfzWaXl5fVEAUvzufz\n2Wx2d3d3fHy8WCzWajU8xxtvvFGv1/1+PwuAEHBvb4+aBGP1JC4i0mw2jUZjIpFgW52cnLBQVfzE\nquMcp1BvNBqJ1bgOn6JUKoVCoXQ6vbOzQ73O5XKhDHnz5k1IOpT+Qzgcrlar5wlxQqFQKBS6c+eO\nTqfTarUQasgw5nvttddu3LhxcHCgNlGr1apWqy6Xq9frEWbxWZaWlvb29vR6fbPZdDgcqnCytra2\nurpKw49g9L/9t//mcrlI6fg6OFLcbner1frOd77zD//wD7/3e7+HJPT8/PwLgqGX0SDzc9r//J//\nE4dUr9dJSmq1WrfbhdgGaC8cSFTGzs7OEKlyu90MNjEI0mq1EFRFGAWRhWazSbDJKG6322U8k7lL\n8io6bRQbHQ5Hq9UqFArVahVG/ftRxwAAIABJREFUDBpRDPwOBoNcLler1QqFAr/iahCBi0ilUpme\nns7lchDeExKinKvX66FkVCcChiKl0WgECS0i3HO73WYSKx6Pp9Np6ooKjg99CbOcTKEhzU5SNT09\nfe3aNdIszgtGylqtVqVSGQwG09PT169f50Sz2+1MVXu9XupIHo9Hp9OBracngT4ZwjQMmf3H//gf\nzxdhRvb/1/76r//aZrMxaYs4jorkNBoNOQHjuolEAkn7Vqu1srKCjHKxWGy1WpSOmfBlVncwGLD4\nO50OQ5ONRuPx48c+n+/g4ACq+MnJyXg8nkgktre3g8EgYlrcRiAQYIWMj4+TEdL3qtfr4+PjHo9n\nfHzc6/USIDJNqNPpaAsReo6Pj2u1WoQdkEphMZPAMZEJPosa/tTUFNj9q1evut3utbW1a9eu6XS6\nmZmZ9fV1MP0Gg+HGjRs8t1ardXJy0ul0oDSjbMB0//b2NkfBwsJCv9+/ePHi1NTU0dHR5OQkThr/\nCu7p9PSU9Y/cRK/Xwxn3+312KH7R6/VubGy02+1Hjx4xtWm1Wr/97W//X1o1/0dt5MCey/7iL/4i\nl8sBRqhWq+hVKvcAQ4SI2Gw2AkkwSyLicDh0Oh06W3a7HYWwzc1N9IhFxGAwOJ1OyAaZx+Q057fw\n69RqNZIVulk2m21sbGxnZyeZTGYymf39fWgMS6XS3Nzc/fv3mbmhwlOpVBTFKscHbE9IIaO6SSxc\nLpfv3buHq0Oiidn+ZDKZSqXIk/hD7k0J96HahQRaPB6HAoMyfSAQIFPEwej1+vO0iv1+P5PJ0Cy0\nWq0cRmiH2my2dDpdrVbr9frZ2RlIFofDAb2I3W7HYTMZ7XK5CoVCoVAoFouK5g6dzG9961v/d1bM\nF8IePnwYj8fr9TpN00Qi0el0tra2HA5HtVo9PT09PT199dVXIU6TofYjcRJdGb56g8FAEp9KpZSc\nqcfjMZlMMzMzxWIRrs5gMEgfy+PxgG7d2tqiKQWDTLvdZg/6/f5YLMbYvl6vZ1VrtVq32x0KhaBl\nMZvNk5OTsMAgBwOri1ardblctJQsFgtDmYPBIJPJeDye3/3d3z05OSmXy7BRm0ymCxcu9Hq9QCCg\naAlFpF6vZzKZcrkcDAbdbjdNu5///Oe9Xm9sbKzdbq+uruI4YeiG7Skej6+url6+fHl2dha4b7Va\nRXvaYDBsbm6WSqWpqanr16+nUinqB7lcjj2C8y4Wi8fHx9lsttfrVavVQqEAZIZXIsuyt7eXyWT+\n/M///P/Civk/bi9Kr29kIxvZyEb2BbNRD+y5DPgcHJqHh4d+v5+ek0ajgZQvl8splfF4PE6dbXJy\nslwuO51O1XGFF46AUV0cMot+v6/T6TQajboy02bAQ0iAOp0OFDgEdFqtltBvc3Pz+vXrT5486fV6\nsViMK4Cwv3//PjUTh8NBDR3mC4PBcPv2bX7O7e3t7bndbmBOdrudCkyv10OmkvQINLMyVWlUmI5k\nMqnT6SA5RZxCRADQdzodUCTE4JFI5PDwUKvV9vv9brcLVY+IVCoVwFS0+lTr7vDwkCTVYrEoaKIa\ntdHr9YwccNtcXDHAjuyzWbvdpn/Zbrfr9frBwcGrr77q9/uBG1y7do1KdalUWl9fPzo6gmM6m82y\nisbHx/v9PpuCbvHKygrMUiJCS4luLnXjRqPB2iBxSSaTMNFUq1VwHC+//DJEMzqdbnd3d3V1FUC/\niGQymfHxcTpe3PPh4WEul/P5fGTwanbz7OxsZmZmfn4+m80qEedoNEqfr9lsTk5OBoNBSMicTmcs\nFtPpdPPz88DcMbaDDPlC6fvu7+/fvHmzXC5Ho1GyIhEplUoLCwuqHfvJJ5/QKYf79Ktf/arf7z85\nOXG73RDiiEgymbTZbLCVgmrRaDShUKhSqYBqiUajCo67t7en0JucEgsLC6oB+YW3kQN7LlOjSP1+\n/7XXXqvX65yqR0dH1MqQuudU5Xh1uVwHBweUGdl+Go2GznC/33e5XMpD4D/sdjtyzBT02GyhUAgf\noBq8TqdTp9NBV4OMrIgcHh7C/FapVOgVc+V4PB6NRtF1rdVqgN2Z/KU5XygUUqkU7ge5smQyiaA7\npz+ExdFotFQqfaoxBt0q5N/sZ3izgFrQS+ez6HQ60Pbb29tQCYtIqVTyeDyJRIIy4NjYGA85lUrx\nkYFlUnUUkU6nA+oEN889mM1mt9udyWRcLtf09PTh4SFNGipIIz2w39BoT4pIPp9/9uzZ7OzskydP\neLYiYjAYZmZmEonE3bt3nU7n6uoqCBq/3//kyZPDw0MY3Pm6j4+P2+02pWkmPdQEPZNeGxsbJpOJ\ngeWTk5ONjQ1mASlxcyLD3tTpdGCc6na7V65cEZF+v//48WNGBvv9PiPzBDq1Wg3BOWrjIjI2NnZ8\nfAzRYqfTOTo6EhF4uqH6HBsbgz6KF7fbbTBKyu7evRuJRAD3iojq+3JXY2NjGxsblUoFFWmDweBw\nOGKxGAKBarg+mUwajcbHjx//+Z//OYOP6voHBwfT09Nzc3PpdBqAFf1CEclkMogxnUdmMqMdDofx\naoo7+0WwkQN7LqPvks1mXS4X4GyyBOB/Doej3W57PB6CuH6/H4/HyTkYTwZ3ZDAYAoEAaIhIJII7\nQZcLeFU6nVa9MeAYmUwG3lJFE8zaJTqjhc7tkeqB+sW53r17l0N/bm6uUqlYrVbSNbroer3+4ODA\nZrN1Oh2QDtFo9PDwsNvtkqtxvhwfHwOsQDxzMBjgPNxuN528Tw0LezweaNkODw/h9ubnx8fHExMT\nGo3G4XCQaRWLxWazabfb0T3qdDo8kGQyeR5FQkNLhuoYqoOiSE/0ej3ZHmzlxPW06M/PyY3sM1gq\nlaKn2+l0/H5/t9stFotut5vT1mAwbGxsUBWAHx0VD5/PZ7fbGfA6OTkhxnrllVcKhQK89e+///7Y\n2BhdKPQcDg4OIpEITTIROTo6evnll3/wgx8A/7NYLJzX4EGcTufGxgawDnaWz+e7fPlyu91OJpPH\nx8fsUKfTyWjU5uYmIgb4AL/fz6Tm8fHxyy+/DGMIHo6PiQILTouRZIfDsb+/PzMzo9zM2dnZea8G\nxw2Z0K9//Wu0NPnfg4MDEUEv5oc//KEMU0+bzXZwcFAoFP7qr/7qe9/73g9+8AMle8s1s9ksU6Qi\nQlVDr9d7PJ6TkxOn04nfNZlMU1NTpVJpaWmJNqGIgEn5XBfGb4+NHNhzGZEdYxyKRANzuVxnZ2cu\nl2tvb4+fA2owGo1sTsh/RcRgMDQaDXwJRL0iYrVaO50OCkNzc3ODwYAVDFwCQdjl5WXKDvwElnqX\nywXKi9vgXRAbU5pY5CsiAg0H0RxTxo1GQ+kPQWcAYFdE0DDj3w6HI51Og2XHsxLG5vP5Wq22urqa\nTCbx0yJis9larVYmk6lWq4p0SkSWlpbW19ePj4+dTicaSCICnhDMWKPRKJfL+NHBYAAWo9Pp9Hq9\nyclJ4nqgjJVKpdVq2Ww2RQQ8MTGBs6ezjWMLBoNer1dVq0b22UwNLRF5oCGnfguTE2VGEIBEM2tr\na8w2UexinW9tbYHZCYfDiOPge0DrQOpxdHSEAzOZTI8fPzaZTMFgUKPRTE9PK1ESkPFWq3V3dxcY\nCDdjNBofPHhw69atZ8+eMa1FgTqVSo2Pj8disbOzM451t9sNtC+Xy/3zP/+zAseLyJ/92Z/95Cc/\nefToUTQaZcu43e54PE65Yn9/n6W7trYWiUQCgQCbV42CZLPZsbGxhYUF5NEpJDCpViwWITGIxWLg\nIa1Wazqdnpubq1ard+7cUXJlHo/H4/Gg8KnRaNRoablc3t3dpZcBvFlEUqnUw4cPnU5nJpNRpV1q\nnp/Lgvjts5EDey7DRSFHhFbQ+d9aLJZYLHZycsL2C4VCLCCDwXB2dhYMBtnYU1NTd+7c8Xq9KksQ\nEWojoHshQFMsA0jbiYgS9BsMBtQej4+PQQaqCcpqtRoIBHq9HioqIgINAR2sR48eqWSIgapUKoVu\npOLSJgUUEa7JkcFUP3gq+DLoY7FpHz16xOGibgO4ICow8IWLCBoxdAWsVivebn9/PxKJ4PCQIiRW\nBXWm0WhoitB9ERHmDdrtttlsVrLxgDO51UajAVs/39eLM8v5+dnm5qYCo3e7Xb/ff3R0pIbwZNgB\nikajBCtq4I8ZwenpaQZFRGQwGPh8Pr1eT1ERPJ4M1UbK5XK5XFbt23a7ff36dbfbvb29PT093el0\niEVSqRRSzl6vN5VKVatVePFFpFarvfLKK0DMCcWIIBUvmhIsDoVCyWRSo9FcvHhxZmaGe8ZP/OQn\nPxGRXC537949mN3n5uaMRuP3v//9N998E/U+ESFSHB8fr9fr+/v73W6XCehkMhmPx71er91uZ2aA\ne0smkxaL5e7duwzJ0NZyuVzf/OY3T09PmUZwu90Eal6vV6vVZjIZqjJ011jMjASgiM3PiSYzmQxi\nm+SpL473kpEDe05jZTBFSzJExxUZZZ1Ot7GxoYRCdnd3JyYmqPVNTk6CUxCRdDr9B3/wB6RBygKB\nQDKZJPEqFAp0g2QIiwB9fnx8zP/CuFOr1YjRZLhYmbWy2WxmsxnoPBeH8IYBKRk6SxFxuVxE1mwG\nfq4SKfDEvJIGFQM3q6urT58+VRPTXIGOGh+QYLzf75fLZdwVrtHn8+FWGYND65abzOVyBwcHg8EA\nwioRuXLlypMnT/R6/dLSUjQaffToEacGs6jFYtHr9So8SDgcdjgcLpcrHo/TieSBUHKBSnhkn9nU\nBHE2m1XiW/v7+zR7KCe+9NJLlOwMBsMvf/lLGYIISNkVKd/BwYHX6+VMNxqN8Xgc17i0tLS8vOzz\n+XK53LvvvsvXx7Qy8U2/3//www9ZYJFIRE2YMJ3GBLHH44lEIuVymWG1jY0NEVlZWaFVLMOVz2rk\nz8Ph8NTU1L/+67+ynpl91ul0xHDdbpcB508++cRqtV68eBGmAj4LC5i5NBmqBYkIGrbJZDISifzo\nRz8ibH3rrbfg2fL7/UyGsBmdTue9e/eA9cOmyD0MBoN8Po/aEdqBIoKKCvuLGI43pSDEVMnMzAy4\nLRGBTOtFsBGMfmQjG9nIRvbv0kYZ2POaVquFfN3j8eRyOcrcCFoCpUNTkReDuaKPBZJCRJaWlhwO\nB9hfRQaDIm2tVoM7QGGlLl68eHBwcHZ2ptFoIPAVEUpzIhKLxWZmZiD+UHdYLBaRHud/FSqy3W6T\nLRG1qbCUAUkZEmWd53tUuQt4fQhB0um0Up5F0FJEAO7zATc3N3u9Hlq6cGRwt81mE5Q8hRFKhcvL\nyx9//PHZ2VmlUjEajRcuXCAk//jjj202G/2S999/32w2K+J5EfH5fOAh+QgI18IQoWDQMmyqj7gQ\nf0Pzer0saWiZmCs3GAz8cGJiolgsptPpV155BXDd0tKSiJTLZVg50ul0MBgkG6jX67u7u3Nzc8B5\nvva1r1Gvm5iYePLkyfLyMjRIWCKRMJvNr7/+ej6fj8fjjE+ISKlUslgsJpNpY2MjHA4rMF4ul4tG\no3zd0H5yHVU2RzFVcTtpNBpSt2g0qrD1ZE7U8b7+9a+DMalUKrVa7Z133jk9PYUoR4ZSyy6X68mT\nJ2azORQKgbA/OTnR6/VADQ0GA0/j/v37RqMxlUpFo1Gz2YwarYjs7e2VSiWtVnvhwoXLly/Pzc09\nfPhQhgkiuJj19XX1TDQajdJzURroinFbhsUSXkyO+CLYyIE9lxmNxlqtxqJZW1tT1Om5XA7iCWp9\nnKFqRINaX7PZpJ62tLTU6XQePny4v78PwZqI6PV6NCAqlQrVAJzB48ePY7GY3W4/PT1VnepqtWow\nGGq12p07d1ZWVgAEiwg/VOIRXJmdoGD6zH6JiMvlghoKr5bJZJCIVbctQ+yviECdxZA/vG1USlut\n1vj4+Pb2NuX+854b7Dt+l3dkSE6j0ajhARHZ3t52u92FQmEwGMzPz6uzhlMG/Bs3pmbmwK30+32b\nzUYFFcj+6empVqudnZ09OjriAEK8QxVCR/bZrF6v093M5/PJZBLKab/frwrX0NBsbW1BtslfFYvF\ncrn82muvNZtNrVarVt3Tp0/X1tamp6cTicTs7CxsuQRA9Xq93+9PTU1RBGMyUkRYSH6/X01WVKvV\ns7Mz6F08Hg9tLafTmc/nq9Xqo0ePAE2IyOHhIbi+H/3oR1/72tcUfpiumMfjWV9f//a3v/2pkv6X\nvvQlOs1EQleuXHn69KleryfswzFkMpnBYHB0dKRgSh9++KGIdDodcJgwefKUer3eycmJyWSigprN\nZnGNDodDo9F8/etfr9fruVxOVeb9fn8ikeDjqLtCIazVavl8vqOjI7fbDcbEZDIVi8X5+fkHDx7c\nu3eP5rrD4UBO+kUwjRIsGNn/xubm5vR6PdNRnKH8PBgMGo3GUqk0GAzcbjeLnvTFbreDgmWMV0Sq\n1erLL798fHxMZArcADgW1IKQpYIE8Xq90WjUbrc/fvyYzpaIZLNZFPPQySR1ExFQgqAKoXETEXpO\nIgIr7tnZGc7D5/Nxn2y/er1OuZ/bVjEmeQ8QCaPRiPJeq9Xi4sCCodvxer1cMJ1Ot9ttYJatVguH\nLSLhcBhgIc1q9VTD4XA6nYbnnsY4d4UWlELSc2OQQ+Lms9ksV4YuWXEXVSoV/Csz4zLUixrZZ7PF\nxUWldKUCOBFhDUxNTVmtVpCiu7u76iRh8DEUCrVarXfeeQffs7e3Nz4+vru7Ozs7a7Vaj46O6PXC\nf0bX5/DwkDWM7h2T6R9//DHjK7wYR4I/UPoGwCImJyf9fj9j1NxJq9WamJgIBAI0mdTPlcQJSi78\nkE/KVIbH46HVDUgynU6Hw+Hr16+j2/mXf/mXv/rVr27fvh2NRv1+/9OnT1mrvDXaFE6nk/7f8fEx\nUBR8bT6fJyzr9XpQd+p0OuCdPBDUW7il3d1dbk+r1eZyOZPJhNCaDJNLRhpQA1BToYSeH3/88eew\nIn7rbJSBPZeRVVDQY4FSqUulUhMTE4x9HB8fs7bgyABfiyqxkg/e399Pp9M+n29qaorkSUSuXLly\n7969er0OpTfrGy3afD5PnMsrGRD2+XwulwsqYdY3Ms1UUSwWC0cGSVKz2UTKD4pSLgJTgKJwVD/n\nH263+/wEFVNo6XQaZAR+12Qy2Ww2n8/XaDQQUJah9gq61S6XK5/Ps5eq1eru7q7Var1y5UogEGAn\n09PmsdRqtZs3b6oH4nK5VA1Tp9ORkiLSQSpst9uBpaEjOjs7G4/HfT6fyjJV9PB5LYgXw1SElM1m\nmR1Eeop1vrOzMz8/j7QxRT9SXpvNxgx7IpH4H//jf0BHOTExEYlEDAbDkydPSMSpmM3Ozm5tbSE7\npyTrlFglc8oQxIgIl2V2nvo8AHeAkSaTaX193W63E9BoNJrXX3+dNXN8fPzs2TPlOUADRSKRdrut\nBq1ERNG+yBC39fDhQ6PRuL+/j943+tQbGxt89mfPnlWrVUUHQ11duXk2xXvvvdftdtfX18Ph8MzM\nzMrKilrbd+/eTSQSL730ElHd+RIIj/Hy5cv37t0TEQgbi8Wiy+WqVCo4MxFBUQz9d04bESE+/rdf\nDb+VNnJgz2Wc1NBkkHComeVSqUSlRRHeADeHCReCKFXXhvR6MBjs7+8rJ9Fut9Gx5FygCLaysvL0\n6VO/3w8tExvMYrHUajUu2G63DQYDS9bhcASDwVQqhSogxYdWq0WRXc35s7W2t7cXFxfNZnMkEgGp\nz3kBnDKVSkEEwL3BEA/Zz/HxMTzCIpLP53U63eHhIeShSgyl1+uBzjqf2Xc6ndnZWWJbm82GA0Mv\nRgnpnp9MoH5IwdBmsyl+gVgsZjAYfvrTnyIJJiI2m435MCi+kAsQEUqdIxTib2jQssiQ20mn0+Xz\neZXZDwYDFvPBwcHCwoLf7yctgO6IVmU0GiUVcLlcbJByuZzJZAwGA9U2+p07Ozter5c1LCKnp6fh\ncBiSJ7wOsQ46D1yHf7MvnE6nz+cj/4aVTURu3boVDofB/bNJFUhSzRqrJt/Fixez2SyS0yaTqVAo\nvP/++yIyOTlpMpkqlUq323327Bmx1M7OzsHBwfz8fDQavXr1qtL+DoVC9+7dw7XQKReRcDgMdpf6\nXjqdZrvF4/FAIIBE7c9+9rNbt27hCH/5y1++9dZbKFEon7S/vw9NwcTEhNPpvHjxIhehN6FyR1Vx\nUeOhX3gbObDnsmQy6Xa74UxSyAgR0Wg0qVTK5XLRcSGFR4iZE7zb7aoWTjwex7fh7VjoSAqZzWa2\nKGqTMuxCIZsSDAaVrK3H44HMEFYC1rfL5UJ/3ev1VioVrmw0GilNJBIJk8lkt9upGbpcrkwmMzs7\n22w2Q6EQA8UyZBUB/TwYDFS9hTOLMTg1lQWFR7vdjsfjJpNJyUjicW0223kHBlt5tVp99uzZ/v4+\nEza5XI6SkcFgmJycZE5IRCDLRyeCrh7JLjeJzEqxWATJzc1A+b+8vIzWmoggJXOecHJkn8H4KkVE\nYZRgFOT0JJXhTCcDYP3DAeZ0OqvVarFYZKdQIlP64A6Hg5CFsZDl5WUEQdhcCwsL7XY7m80qFSGQ\n8deuXdNoNOPj42dnZ71eD/057vPixYvHx8fz8/OqLFGpVO7fv89rJicnKQPwjoVCgS2jJskoiZvN\nZjV8qQawYrHYK6+8MhgMuIgMYVBsN6a2YY0KBoOzs7Obm5s8Pa4TDAafPn168+ZNFMXK5TKIjzfe\neOODDz64dOkSJPpbW1vqSBGRs7OzUCiUyWQU1U4+n//Wt751eno6Pz+vBJeLxWK326WNfXZ2RqkG\nkaP/A8vjt8FGDuy5DPEC5JhFRE3CU4KA5QVKXxGZn59nGEuB5bBut8sr1f+KiE6nGxsbg19KRLa3\nt1n3lOwzmQyzX0RnZrMZHXRqJjSEuJ9sNhsIBPR6vVarxVEp4GK73e73+6FQSAkOhUKhiYkJFMvK\n5TINBlwOuePq6irnS7vdnp6eRp19fn5+a2uLNjv9cOotCgA2NjaWyWRUNka7nttuNBperxcuEgBg\nfr9fIQ/n5+e73S44NPAXIlIsFj0ez87ODp3zXC4HyktE1NQnY60MeMI1RUjucrk6nY4Chozss5ni\ndIAARYZ8nqzqZrPZ6/UKhQLsfKRoIoLYsQLRKIJEvnfwqOgpi0ij0djZ2Xn8+DF6Kziq/f39t99+\nGy+o1WofPHhApPL48eNXX30VTJDFYrHb7YqVUavVfve739XpdJubm7iZo6OjVqsFQ6DNZiuXyzMz\nMyKCfAmaebAPi8hgMDg+Pp6enr59+zY8v1/5yldE5O7duwrrtLu7+8orr/B6dsHPfvazt956C50j\nOYf9e/jwIW5JRLRa7R/8wR/gyCkJvP7669xeLBbzer17e3sulwvCARFZXV3t9XrhcPjx48eBQIAa\n6ezsLI8xGo0eHR2trKzgjCEZoC9eqVTIVj9Fs/DFttEc2MhGNrKRjezfpY0ysOcyhXOjU+VyuchX\nLBYLbdXBYKAoo/L5PFVEhFO73S6FETioQPRRSBGRUCgEJWCpVKrVanCV8qalUgnyKjmX67RarVQq\n5fV6IVuiknZ0dASAXhXN5RwKkeK7ahFD2AjDYSaT0Wg0VC8JZiEMVbmdiEC9WCqV/tN/+k8//vGP\nofrW6/WwdwMpVg9K/RWKvfxbRb6QfUDaC6sbH3Z9fb1er6vuNyBGUADxePydd94RkbW1tc3NzcnJ\nyXq9rkA0iu0ecliVBPT7/Ugk8uLwEXxOpuDspFw2m43HS4oDUsnr9er1eovFkk6nKWExrYiIJch7\nEYGZOhwOLy0tbWxswHwoIiRS7XabTPoP//APeWsuFQ6Ht7e3B4MB65zdRMGg1WqFQiHSozfeeIPG\n6oMHD/b29qgrmkwmGJ4wAKsisri4uLCw0Ol0Dg8Pf/KTn8B/LyJms/nHP/6xXq8HPMKenZubgxpt\nZWXFarUymDU+Pv748eOLFy8qPl9uD7tw4QLdOzJOjNLLw4cPFxYWzhcG1BykDDMnMBp2uz0cDpdK\nJQDxSDe02+1oNHq+Wnt8fFyr1ZjGM5lMbGGdTke69iLYyIE9l8HkqwYqaQnIsIQIlIAhLRGBWgkd\nkGq1CipPhmpe9XodGAhXaDQaoVAoGAwiAqSmjHu9Xq1Wg6OTAWoZQhOBKff7/Rs3bihaGi4LIQ3l\ne7PZDAj4vHixiECGy7ix1+stl8sQ/AwGg3Q6PRgM5ubmtra20Ec/OjqCFNhqtSaTSa/Xy5FBxZIu\n+uHhIU7xfO1C0eXJsM8Ri8XomamfWywWSHiNRqPFYuGzVCqVer1eLpf9fv+lS5f8fj9DshDPb2xs\ncCn8Om6M5j8ISTzizMwMZI+f24p4IQwGIxFBXgSfpCjHWE4EZCICzEdEJiYmrFZrsViEnY9NwQne\n6/UODw/Rw6O8rNfroVPa2dmJxWI0b95+++3vf//7FMzR9yIsOzg42N7eZuy3XC7bbLY//uM/5q2N\nRuP9+/cNBsNrr71G4DI5OSkitVrt+Pj4woULi4uLIFevXr2qxLquXbumbmNnZwfuTZvN9ujRo69/\n/esiAnoWLrfV1VVuQ02qTExM/PKXv6TYqAwff3BwgO+H+LHRaNBgE5H/+l//qwzD2QsXLvj9fo1G\n8/DhQ1wmFKY0+b73ve89e/ZMRD7++OPDw0OISaPRKN1rEYnH46COrVar2WwmBDSbzdQSXwQbObDn\nMiVVgHKHUsCKRCKFQsFoNPb7fZIGEbHb7fSxtVotAijsYa1WS8snmUx6PB5erNFoPv74Y4/Hw97w\ner2gJ87OzgC+Iz2uWjtHR0dOpzORSCwsLFQqFfZkOp0GcOxwOB48eMDizuVy4XCYyJc4VzHCQU4o\nIj6fz2azkRLhUDUaDcqWBMiFQiEajY6NjdXr9X/8x38kpuaNSOD6/f7Y2Jgiy7fb7XwuImiVkMEf\nb7fbd3Z2CB4h7W02m6Cd87CqAAAgAElEQVROqtUq8XKlUjk7O7NYLDTkw+EwxyLwaPLIVqvFk4Qh\nAr8L/QdvF4lENjY2zmsmjewzWLVaZc1YLBbiA5PJpNBuTB/m83kaQkyYiAh43cXFRYTl1EiyDEcP\n7Xa7ApeiwwBtTalUAppoMpnm5+dPT08ZQVGZ+uLi4uHhIcCKdrt969YtBbcLBoMXL158/PhxJpPh\nvQqFAondhQsX7t69a7fbaT6Vy+VarXZyctLpdN59910aV36/f35+fnd3d2pqivkT9jvQ/7Gxsf/1\nv/4XIFgeSzgcPjk5icViV69ezWaztK9u3bolIixCq9XKFqvVatlsFrgmlPnEi81mM5fL3blzJxaL\nXbp0iZFKXv/06VNQuDJsNttsNpIqVAbb7TYbnzkZlB+63S4vVjjMF8FGDuy5DDgGRzN8mmQAZFe1\nWg3Mq0qeBoOByWQiA2NgheuwsBj1ZTMXi0WTyaSWaavVokyBKBf7p1gscl4DhZidnSUQdrvd9Hgj\nkQid7V6vFwqF2EJw1ft8PvQz4dSQYTnIarWicvmf//N//u///b+LSDqdzuVyBHSvvfbar371KxnS\nufZ6vWKxWCwW1TymiFAOLZVKSkg3n88vLCyYTCbuCv8kIgaDIZPJgKum4iEiFoul0+lAh89sHH3p\nw8PDxcXFWCzGAVcsFjm8dnd37XZ7JBJZXFz86KOPqItyfsHXxQPk1Lhz5w54yM99ZXyhDY1TGcZe\nRGkML4vIYDBoNpsmkymVSnk8Ho1Go6rfNptN+TOM8l2pVOp0OhMTE8lkkkXy6quviki1Wp2fn2fX\niAjIuna7HQgEuA4Zz9HR0Y0bN/7Df/gP/+W//JeXXnpJgT5QuUyn00qphzfNZrPUnP1+v2LocDqd\nn3zySbPZrNfrq6urCo6k0+muX78OTX4ulyP1ZO7N6XReu3ZNgVoZBohEIjs7O9Q/ORnQ5BORer2e\nyWRYfhCzXblyJZfLQUXPxoc9LpVKOZ1OjUZTKBSIA1T1r9vtPnz4kHpjpVK5cOEC23x6epq0jC8I\n7C7lECV+fR479sW2kQN7LlOZhF6vh/pBLSx6XVBEq5YMC4gWwqeOUbPZ7HA4yuUyiYjJZOL0bzab\n8XgcDgIRIZ5S006KPF5E4vH4m2++aTKZDg4OFK4XCGIgENje3sZfer1efnvr1q3j42OLxcLGpvLT\n7/fdbvfKysrHH3+s6A8QGGMOhotQ4WFT2Wy2o6MjbgmlZsjs1fCmw+HY3d3t9XqRSIQZAGCZYCNL\npZLb7VanwJMnT27evClDlU6ie3UbUGmok0hEJiYmjo+PFxYWGo1Gp9NRtI06nS6ZTCriczWI2u/3\nXyg41udhClBaqVRo6JpMJialZBjVtdtti8VSKBRqtZoavItGo0r7lG+KP0cQK5/PJxIJvqmNjQ3G\nk1kALM7T01M0vYhpDAYDBb2pqSkoqb72ta91Op16vQ4fVTKZDIVC7777rhoQxBwOB6MdU1NTsF6J\niN/vDwQCa2trZrPZYrF87WtfE5G7d+8uLCwEg0H6tXC+yJDAXqfTzczMdDod4PKvv/76wcHB8vKy\n0+kEu4jjPD4+BpPs8XguXLjAPMzjx4/P6xNNT09Tw6AgsbS0dP369XQ6XSgU1NI9P/7B6RGJRMLh\nMFqv+/v7zWaTPdvv9+v1uqLU4Xvp9XqK4+oLbyMH9lyGeyiXy1qtFq/A+lbsmWxLfA/9G5QgZFh+\nkWEdstFo8DIOfQg1iONoLdAZTqVSah1XKhV+hahgMBgEQ6/T6b785S+LyAcffADAhING1VUqlYrF\nYtnd3dXpdEo3S+VhhUIhn8+j+ycidrudGzaZTD//+c8p6Kk/icVie3t7ZrOZQea9vT16aSKSTqf5\nIX0sNj/9QuWA5+bmGo0Gyizc22AwKJVK4DU8Ho/T6QT0Qdg+MzNzeHjIHAx35ff7g8FgsVgkhKdZ\nghCi6rcx3yMitBg5fUb2mQ0lbjknHaLVauHzVa8JhUKAmCiti4jZbO73+3Djlstl1jmDj6wTj8dT\nLpcV9gdyABGxWCwQPefzebAV7B2DwUDOcXZ2try8vLOzc+PGjUajUSgU4NSG1eXatWtAilgwT58+\nDQQC0WhUo9GcDyKz2Ww4HO71ekzWc88Mq1gslv39/U6nU6vVLl++LCLEiKiFuVwufuhyua5du1ar\n1VCRRc2Ez3j58mWoRur1OuUHVDcVW0ehUKBoOTY2ZjAYEonE+vr63t6ew+HAC8LxKCIajaZcLrNb\n2eZWq/X27dunp6dwiMvQv4pIt9uFaJHbe3HE8EYO7LmM6VrIsC0Wy/n1wSan0nVenZK+DqzznOOt\nVgvWXa1W63K51M45771kSDogw+Ebr9c7MTFBEIcUer/fz+VygJfg+sORIKk1Pj5+XjZXUcKzY/kh\nJz57TFUb0um0Xq+HF6Ner1PJRGCTfpiIqNfPz8+vra3RmXM4HFQFA4GAy+XK5XJ4Edp1MuTBUz4Y\np8ifIE4NITL0H+vr671e76tf/SrdDoPBoISVeXTNZrPRaJBvMXZtsVjgJp6cnFRQLqi8/q0WwItp\ng8FABQd0s86zczFc1e/3A4EAZTrWA52nwWBAqsGfwG9bq9WsVmsulyOfFpHJycnzeB+sXq//+te/\nfumll37nd37n/fffHxsb47wOBoOnp6cnJydGoxGydhZVoVCAxol6Phd58803eQuGgmWoUcBo48HB\nAZIR5EkOh8Pv99frdZfLRZWFK6fTaXCAqVQK/K2IBAIBdvTGxgbkMmwxCpJut7vf7xeLRdLHXq+H\nODglVpUgUtsol8tWq/Xll1/+4Q9/yEUIW5vN5szMDOUQEcnlcj6fb2FhAUWxarXKdZLJJHgWPgVH\nx+np6YsD4nhRSqUjG9nIRjayL5iN2Oify1599dV4PA4jHAU6RVShGJtsNht5EvyHSlJB5QHUMSCX\nUjAnEdHpdNSse71er9cjIFWiq7VazWKxkFRpNBqfz1etVhuNxh/+4R/qdDpizGq1WigUPsVdq5oQ\n/X7/f9PU1Wq1tC78fj9lyXa7DZJehi1liFztdvubb76pdJsikcjh4SGwTHU1+swul8tqtdKl5yIe\nj+f09NTr9Q4GA8LhUqmkiE2pNRGBlkqlbrf7+uuvP3z4kKECngNQSWqnnU6H+gypGKxCJHYKLFoo\nFOx2O03+kX02u3XrFuU4dIRJbtLptGLghH4QaKLD4aAyQarR6XQo86rVFQqFYPxi74Aap+eE3LZC\nt1O9ANOxuLhoMpneeustEVlbW6vX65988snFixc3NjYKhcKf/dmfybAajz158mR1dZV/q6rm/6eh\nAsFn0ev1H3/88dzcXDqd1mg0er0eCGupVIJs+o/+6I9UJeDOnTuTk5ORSESVNEg9W63W6ekpouHq\nrs7OznZ3d1FWikQiTqeTEiLHCFIMTqfz5OSEd8zn871eDx0li8Xyxhtv8BaAtjY3N1ut1tHRESAm\nEQkGgx999JGIhMNhHnixWDQajbdv3/6sX/u/JxuVEJ/LVFeJWRZVnmJ2mLlC5T+YAzsvhnTeAMh2\nu11qaD6fj0I8zXDVVKtUKi6XiwkzhWMEuOF0Omu12rvvvisijEza7faFhQXWsQzVIhA473Q6BoMB\nuOD5/jZWr9ftdjukPtSCTk5OXC4XIH4Z8nxTjm82mx988IG6yOHhIW4DaUERMRqNwDHi8Xg8HjcY\nDPjder3O7JqITE9Pg3+hK05jnxcQS0UikWaz+d577/EuBwcH/HxpaQlOdGi5VX8xnU6XSiWHw4Hj\n57gcHx9XhZ2RfWaD7khEjEYjywniSoUjLRQKALhFJJ1OE6KNj4/T4lJtMxmO8UUikdPT00ql4vP5\naHc1m83l5WUqYzLUZqzX6263G262k5MTn89HOFUqlbxebzgcViSBP/vZz2QIZRSRVCqlvvRMJhMI\nBH74wx/OzMwol6aMuzo5OaFUmM1mv/71r0Nd7fF40D8TEYPBQO39X/7lX9RYdK1WczgcxJGRSEQF\nT61W6/Llyx999FE2m83n84paF8dfKpUmJiZsNhv71GazLS0twZT/pS99aXx8nNaXAi595StfyeVy\nVO/r9TpfgV6vf/r0KdJ3IkKtkq3KbICIvFDjjyMH9lymMG+ZTMbj8bRaLSUUYrVaKfqLCI2ZbDYL\n4emnUiKtVgssmB2CJwBucHBwwHwiSn0ikkgkUCQxmUxKUaXb7SKDi6SFXq9nWrPVat2/f1/pIHMz\n0Wj0+PgY+kEZIvg/ZS6Xa3FxkVTJYDDkcjmdTjcYDJT4LDxv6MjIEBXC3ypf2+/32Xv8CtLuk5MT\nhcA0GAzQ+5pMJhTURMThcKyvr3MR/BxpKAcHCh1+v//09BTPp9Vq0ZdhMkGRnIqIz+eDi09E6Lop\nddB/m6//RTXVl9VoNPV6PRAI0DdSQPBwOMw36PP50NwREYb6FYIRnDcYKAhtAS5xzjqdzqdPn1Yq\nlcnJycPDQ/pGDIoQtMXjcY1Go8aN3333XbPZzOj6xMQEDu/v//7vv/Od7xweHubz+VKpBC9GIBA4\nODh45513zg8IKiO2azQauBmv1/v973//G9/4xtzcHK1rBUjhBexKDEiFDOe7FQXi2NgYrTJGudkO\nvV5vdXX12bNnYCx3d3dpxbFQg8Egq1TVbxBodTqd6+vrc3NztJNdLpdOp3v48KHZbJ6YmPB6vdxP\nt9s9PDzkNTabjS7y6ekpm+hFsJEDey5DkQQtVxkqI4sImimKV57wHxwUYrKDwUDNbIL1AErX7/cp\nnlDHAMdBhMW6V7BjGVYRZcjMW6vVWOtWqxWWCpvNxjRVo9FQ49IPHz70+XzqgkpJUpUuOVD29vaI\nsjc3N8H9s9up85TLZeBkIjI2NgbYTERATHEGqbZ5NpvlgZycnDidToUf0ev1iKjl8/lcLofXYSzG\n6XQSzisy02w2GwwG2+02yeX4+DiPmgHnQCCgMG8iQo7b6XTIVs8rKkE7+zmshRfI1Gys3W5XlGb1\nep1lqerSrVYL+B9oPVYpVXQKuSICW0Sz2Xz27BmjjVyE2Eij0ZydnZ0vyjGnVavVAC5Syo7H4yQc\nlUolHA4Hg0ElPv7o0SO32+31ehUY/dKlSyw//lbNqPGmg8Hg6dOnyk3mcrm5ublnz55dunRJDWLz\ntzabTavVLi4unucTYI/w0RwOh8LWBoPBTCZzdHSk1Wpx7RBPz8/P6/X669evb2xsqEF+nkA8Ht/a\n2pqZmVGCtJ1OJ5fLORwOVYQXEUD/FBiVf5qensbJ7e7unpycEHROTEyM5FRG9v8yWlmNRgOJL4PB\noGqD5BmK21BE7HZ7rVY7TyKHmc1mrVZLbZCanohYLBatVos6EVSHvHhsbAz+KhFpNBpslXq9XigU\nAoEAxBZUHWVYdlACmGoKpFgsKr8FhZqIwDEYDocV/QcJ0MTEBMcQ70I2SXU+HA4rGi1MFWo4tnBC\ntVqNShHyS8xc8xB0Ol0kEuHY4oNT6AeWFolE+v0+MTvPgSYWzOWEBWdnZ0wI1Go1jUajpuXQwuYG\nlPYK9OQvjqjE52ROp5PzXXGkqdhf/ZB5LAqJxEZ7e3uBQKBYLCpqPhEJhUJoq4qI0WicnZ2FKrDT\n6SB8iuMhJKK1RloGSBVHNT4+fv369VQq1Wq1kslktVolzGLMC8C9TqdDBFKGq/TGjRvb29terxcs\n/tTUlEaj2dra0ul0U1NTbNtYLKbRaCBh2tzcNJvNuJNSqYRzIihE+llEZmZmSApZtHjZZDK5tLQE\nNQFy0iISDocR8ET/YXp6mkeaTqeLxeLi4iI7q91us78qlcr09PTy8vIPf/hDVU5U4MbFxcXBYNBo\nNAg6id5EZG5uLpFI4HSZCv+clsRvm40c2HOZ1WplBTPnZDQacRIajQYNLfiQ1JCviDDjCUCDF5Px\nuFwuv9/PJhGReDw+NjZGraZcLitGGbYBGigQPvECfjs2NpbP5zUaDaVFJrGQl0wkEmQnSpoWNAdT\nqCLCuFUgEED4rlKpcDrwcSj9ORwO2loajYaxa+QlVVJFEGoymZxOZyAQ4MokSfhFPK6SqAZ70u/3\nrVarKkxVKpVCoXDt2jWlxSxD6uHj42OEpNXPiXnPzs5ghjzfXKxWqyruVg5bEUaM7DObmk2+cOEC\no+VWq5U6gQxpNdxut9lsTiQS6smj/UEPWDHMMqqMrl673U4mk3gOxtX5ohXxB+OJKysrjx8/RuhS\n3dLp6SmUjIFAQI1eoIBKsaHT6XzpS19S92+z2ba3t6enp5lBFhGNRhMOh6vVqir9cXv/+q//imTS\nvXv3AoEAGZtOp/u7v/u7a9eunZ2dXb58mWXGYKXBYFhbW/vWt751cnKytLQkIk+fPk2n03iRQqGA\nfPODBw9cLtfS0tLY2BjpLHEVNIb9fv/KlStXrlxRBBwMveE+1Yv5dEBd5ufnVW2c2gP/hihLROx2\n+3nG0S+2jWD0IxvZyEY2sn+XNsrAnsvguVDIt36/TyJSr9d9Pl+pVIIXjnxIZRgkT+oiZFGdTgf8\nFbHV0tISo9AEsKoHgDxjOp1mUJeYy+VyoSJIT0613+A8jEQiwEzUm3K1fD6vyAJEJBKJnGe5BQHB\nv6HFkqE0pQx5HUWkWCxy/4qtjj8pl8swRYnI+Ph4Op2G6r7ZbAJCOf9GrVbr/FsDTWQgenZ2lqFs\nQlf1HNRt9/v9RCIxNTUFYyRpLvKeIhIMBpVY9sj+rWx8fFwF+LOzs41GAy0b1kAkEpmcnFRd2PN/\nCH+gWiQiwvhEr9crl8sOh6PRaMAZPz09zcvg7aUYYLVa5+bm0HyAcpPCw+np6eTkJIh8lhbJWTAY\ndDqdquSOyLKI3L59u9PpWK3WbDYL5aCca9kqIVYRyeVyXPDHP/4xmCmSQp1Od+3atWKxaLfbK5UK\nzSfatJ1OZ3l5uVAoAEUWkatXr0K3TweXJXrjxg1K9KlU6nzZgKIfDcV8Pl8sFlnzDJkgvJLNZhWn\n9ptvvnn58uU7d+7AGKKuw0eg+4gpOu8XwUYO7HkNphbFRs/5jq9SzQAOUyqBImKxWPR6/XmZK9B9\neCNFz0Ed0uVyud1usFgiYrfbrVYrpBuDwYApqH6/3+l0EHABrKEgUs+ePYPnZnV1VSmLJ5PJ6elp\nGD0ymQyVehlS3YMDVuhERtBoJwDulyHwhBckk8lAIKB4E2DXttvtqvJTq9VcLletVqO02Ov1qNSX\ny+VisWgwGFSVCQMZHAwGJycnE4kEzQb4pUAh8hz4OP1+n6uJSCwW41BQvB44zm63y4OCvO48pmNk\nn80IOJrNZiaTicViyAPxjQwGA4fD4fP5nE4nusyq8NVqtUD0yBDpADCVji+NTzYLnO4ejweVczX7\nCAn15ORkp9NhoYpIuVzudrsHBwe9Xm9ubm5qagqYA27MYDCUSqWdnZ0f/OAHIjI9PU1H7YMPPrh1\n65ZqUbtcrr29PQCBMkTnplKppaWldDq9s7PDbIDaLCKSTCahpMFPU2lkBZ6dnUWjUfDrSKgbDIZo\nNFqv17nnQCBwnh9Ehiiq+/fvLy4u1mq1Wq02NTX161//Guf95S9/GfgSOmRXr149/3W89NJLdCLo\nIH7rW9/66U9/arPZNjY26vU69+x2u18c+NLIgT2XabVapPlUDIXrstvt9J/OAx8QvWQ4DB0g0rVu\nt8uRDQGSglpAA1MqlRBEZ/Ehd2Q0GsHUsuhZoBsbG4Bu1TJFeKlUKsVisVwuh8skCia7slqtMzMz\nbIbNzc2joyOz2Wy32xUDmwz5pQaDARM/n8JuNZtNeg8cBMipyLBJxommsiXFx6+a/1TwO53O8fEx\njooyPXcO/JqWtc1me/r0qQKJKCBGr9drNpuQJsuQ0REAJ3eVy+UymQyvh9Zr5MB+Qzs7O1PzIfV6\nnWPaZDIR02g0mu9///tGo5GZP4/Hw5FttVrBneKu8CLMlni93tPT01arRQ9JRLxeLxgNRjjYC1NT\nU5VKJRgMQr6uYia+dPpeIhKPx8m54dH2er1Xr151uVxI2YlIIpHY3Ny8ePFiMpkMBoMEN6hzbW9v\n06xiHZ6dnbGDpqamVMFDRGq1GhyeuVwul8ux5mOxGAT8DLTt7++ziVZWVgBbIubHTvnbv/3b7373\nu4jtobHCB5+YmLDb7URp5XL5rbfeUhhm3loN2/HMT09PCeBcLheDjyLys5/9rNFopFKpxcXFZ8+e\nseA7nc75hOyLbSMH9lym6ofFYhGaCZUWzMzMMOBpNBqJoXQ6HYT0StaEbAY/hDqJ0WhUZIBUVCiY\nAP0QEYjbHQ4HKkTULh48eCDnnApLmZ8YjUY2/3ncYyQSSSaTFovl2rVrpVKJwsLm5qbX643FYp98\n8gnKznhHvV4PVW6326XzLCKZTIaBNrPZjMw0hwiYTIBbCA/yjqVSiaHsbrfbaDTYUbFYjOEwl8ul\nNC3z+Xy73Q6Hwzqd7unTp9FolJm2g4MDVck8T+XAVwAcdDAYsLGhUmRiodVqhcNhkoB2u91sNkd6\nYL+hORyO84T04AyBZsgwpun3+6FQiHBNqRZAP31exRFYfLvdDgaD9+7dU/hGKupXr16FFJjvOp/P\nLy8vR6NRcK0UzGVI9CwiQBO5GRnOLJ+vWGJjY2Pf+MY37t+/H4vFstksqI1IJLK2tsZewKWJyGAw\n2NjYYCoDB8nShV4EmImShD07O2MQ++rVqwSLRGC9Xg9lL0SIiC+/8pWv1Go1OH+r1Wqn01EV/qOj\no0KhgPqz4jPE+3I4wOYjIn/zN3+zsrJCuXV7ezufzxMrvP7665ubmyaTCZSjOhmUGPoX3kYO7LlM\niRpzbjJELENOd5IDxeYuw7gJeL1Op2O3UFiAkodER4ajwUBpdTqdy+WitNLpdKanp6mMp1IpsHlo\n9FFDYOSLtyuVSiDmUVRR6kSNRoM7uX//PholIkKpDWqo3//933/vvfc4YmADKhaLdNSIExOJBELP\nPp8PuD/B3YMHD0wmU6vVQjkFsaVUKlUqlex2+9TU1AcffCDDkJkkMpPJoAHNPTMhpJSamcsREXRY\nTCYTvrlSqSgWEm671WqptMxoNJKkdrtdImKeyae6HSP7bKbcTKPRQLiSZEhxTMhw/Jx/E3shaiwi\naNyQnSAktr+/T6zW7/f5EklK1tbWLl++XKlUWF0kQLu7u91uNxaLtVotxTKF4DiaO9SrRYQSiMPh\n+Kd/+ic1Osac5aNHj/x+/9HR0enpKZ4DCVav13v9+vW/+Iu/YLOMj49TL8ErZ7NZ1j9OhWphrVZj\nI5tMpkQiwUh+oVA4H9XRDj//DCHIYDhERE5OThTod2xsbHJyEmhxp9Ph4g8ePODO8dYcKd/85jct\nFgtTmwsLC++99x7FnlAolEgkUPJzuVxcuVAoEGG8CDZyYM9lvV6PosfExIQiiZFhB0uhjYm5NBoN\nzR5mQVQ3G+7qdrtNKMeLTSbTYDDgaCBv4ywgp6F1FAwGVaZFn0kVIriIGizV6/XMl8iQft5isYyP\nj+OiaBjEYjGOj3A4/OTJE6PRyM2D4A+HwxxDhHj4m0AgwJyWVqsF8k4ZkEBYRDY3N0Wk3+9PT083\nGo1yucycJufLxMQEnbxarTY7O8vJ5Xa7OVAoTAHN4OnRhCuVShwcfJz5+Xm6606nUw0yw4+l1Wrd\nbjcTDjhsHvKLo4r0+RnPM5vN0s3FMyk4D2uGxIJwhL9qtVorKyunp6dra2u8GPwRiCRK6BTE4vE4\nYpL0aME30fhkvMzv96PQLSJWq/XmzZvpdJrqYrFYpF3k9XqbzebBwYHFYun1erhMqNHYJnNzc0+f\nPqWM8bu/+7sajWZ1dfXs7EyVyvFqSo1MpXqMw8fjcZvNBkmNiDSbzfHxcTZIKBQikuMzdrvdx48f\nEyyqaRZuXqvVjo2Nra6ufkrr5MMPP2y1WpcuXQL9D3snN7CxscFEF+Hj2toas/9vvPEGB8LDhw9F\npNfrpVIp+NhERLWKXwQbObDnMoIv+snERGrGSKfT2e12xVTGD9kqdrsdhJLa2EwTw7KhhCUDgQDQ\nwVdfffXRo0ec7x6Pp1gsEg8yqysizWZzbGzs5OREp9NZLBaFzkIPV4YqyWwYblWn092/f396elrF\nfdyMwWCIx+O9Xi+XyynOHjIwSJg4d1DYKpVKHo/HbDa3220+PhSF7Xa7Wq0uLy9zcXSeYrHYkydP\neC8ucnx8jAj1YDBQGiuKYUhEyB05Ss7Ozigznh8CE5FisahokV0uF4eU2WxOJpN+v5+oWfHycXYo\nwtORfTZDsEpEmOsiIFDtSYvFwnT51NQUMRDFA5ISUh9VgYT3stlswjeoILvUHhBiBZ0kIhMTExzQ\n5XI5nU4jgCIiOzs79+/ft9ls+Xy+XC6//fbbCkBrNptVRZFcJ5lMtlotBCSZP2MT7e7uMjT5y1/+\n0mq18o6lUgknFIvF8GokMfv7+263G7+l5qtqtRpV7vn5eXY9LzaZTOiTiYjT6SR7g0anXC4fHR2p\nmW4ZVi+BzjJkCbvp5OSkx+NRtRw2hV6vZ9ewX1Qlo16vAw9GRFDxTr04QkKjObCRjWxkIxvZv0sb\nZWDPZS6X6/j4WKfTRaNRki3FJV8qlWw2m1L3EBF4PIlPx8fHrVar4nCCnqDb7YIyEJF+vw89Dy0o\noHoy5AmlGlAsFlUOV6/XlYByu90mLqP9A0U39LsiguwseIper1ev16n7MQaQy+VMJlO5XCav4vba\n7bbJZCKOg1yg3+8/efIEpB+MUNwekzGwPk5PT9O+Uh34WCzWaDTIt7htNDzpF6oUk3AyEAhwTTAX\nPGf+l2KOEoVRohUyRLI0Gg0wkErDkwdFP0MNAIzss1mtVoM8yWw2O53Odrtdr9cpp4tIp9OJRCKp\nVIq63/npQ9joWZ8KLyoiJDcAf/imIpGIx+NJp9N8+yTN0K2JSCKRePz4sSLPpdmzt7d36dKlDz/8\n8OnTpxQbrl69urOaObsAACAASURBVLq6+o1vfIMqPVl4KBRyOBxbW1sOh2NycnJnZ4f1oNVq2S+L\ni4s/+clP+CFKSYPBIBAIfPjhh5CLisjFixdBr6AUQcJXrVZJFnu93snJiUJF7u3t7e/vK4EYfsgM\nSb1e1+l0jx49unLlikKOJBIJHhqdYwXBAGTY7/eXl5eZlsNI3RBdUrrq6redTgfA54MHD+bm5v6t\n1sBvuY0c2HNZqVQyGAxmszkej4dCIYvFwvoGdpHNZuv1OkrqMqwKarXaiYkJxq2oh4yNjUUikUaj\nQTGBsgMlFHzJz3/+cyXi3mq1yuVyLpfDE1AiYCAGoj/awsCNUMuV4SmvChqwSXW73UqlUq/XqWkE\ng8H9/f2FhQWFJVOzySiH0dmitLK1tRWNRo+OjlZXV9Wwi4icnp6azWYaDL/4xS/UgBc6SYrCldMh\nmUzOz88HAoHzkze8Y6lUcrvduDR+ziHCC6ampg4PD9mlVDsVXxfW6XQGgwF1mGg0qtCJWq12fHx8\nVEL8Dc1ms4HqRDFEsUOxRMHNptNprVaryNRFpNFosPaontHysVqtBoMBGQdCKHaQ1WqFXb5UKgUC\nAWrR8XicofhGo7G0tNTv91n/+Xz+6tWr2Wz2F7/4Bb0l9aY6nc7hcJhMpjt37gBwuHHjBkPWqVRq\nc3PT4XCwWZA4p03V6XQInux2e6PR4MPiqwiJmPHAtVD8554Zx/zpT3/6zW9+s1Kp0GOuVqtQpoGT\nwtupvalIsXmXv/mbv/F4PKlUyuVypdPpfD7PHCcGOdbR0RHwqM3NTVjt+e3m5iafsdvtbm1tBQIB\nuglUONVA94tgIwf2vIYyEFCfsbExpShht9uBxaPZIyJWq7VSqfT7/X6/ryaxRCSfz5+dnblcLnwh\nOwR0Vr1eB7+O3pWIQH5vtVoJRcntms0mrIZkIXt7e2w/SLUBFkP6KSKQ4a6vrzudTp1OFwwGKeXn\n8/mJiYmXX34ZUL7dbsczcawwPqnT6bg9j8ezs7ODNzoPGyFiBQTl9/uJeWnOJ5NJAm1FKAcDJBAS\niBZ5IN1uFwj+0tJSIpHAzYPCh663UCioUwPJUDkHARURrVZLuAodqhqM42BSPAsj+8ymOKk1Gs3Y\n2Jga7BORZrN5dnYGRgn8kUIhMsxeLpcJQUSEIRO3243YihK7cTgcdrud4kEikWA9a7VaOppWqxWE\nPTdz9erVRCIxNjb2J3/yJ3/5l3/ZarWuXLkiIqVSSc1sLC8v419/8IMfMCNMF7lUKpEbmc1mFjzt\nJbYSvd7Dw8NEImG1Wvf29qhAdDod5YNdLhe3x+fVaDTKB9P6arfboVAoGAxySrBcB4OBy+W6c+dO\nJBKJRqOhUIiEFZQHImGAh9mPJpNpZWUFuIpiMSak29nZAdPRbDZ5qmDEZmdnS6US4Z2IfPnLX/4U\nMcoX2EYO7Lksm81Go1Gbzca+UnDtQqHAGW02mxVvumIphaieCWURIYBlDwDKFxG32832YNcxQCPD\nmLder1OEYUZKRHZ2dlim5EnkLopltdPpUKLhxel0WqfT5XI5fCE99l6vFwqFfv7zn1O+UDMlHo9n\nYWFhZ2eHiatPPvlEhk5LRBKJhMqERGR6enpiYoJMy+fzqWLd/v5+tVqtVCqhUGhpaYm3OD09pZbo\ndruhnhIRRuLYrslkUs1Ti4hWq52fny+VSihYUn26dOlSPp+Px+PT09O5XI6DFZFfi8UCzQcKziKi\nSI8+h7XwAtna2hqlKp1ONzExARoQUQUZZi34IcIvVjKSpCo9mpqaEpFSqYR0DqxpbrdbxTFqGLnZ\nbBIJIdry1a9+tVQqka+wpw4PD6empu7evXvz5s23335bgWAXFhZqtdrx8THTV4prmPkWs9l8dnZW\nKBRY55OTk1wzl8sp2ZRyuRwKhcBeAfNTD8FoNOr1ejYymx3Rhm63e3JycvPmTbfbzYTZwcEB/tjv\n9/v9fpIn9tGXv/xljUaztLS0traGT/L5fCcnJ+iNgRbG6ySTyV/84hdzc3MOh0OpBqZSKWSvLRYL\nKuS0A7a2tq5cudLr9TY2NtbX1/H0zWZTUaJ84W3kwJ7LcDytVsvr9bINMGRQmF+B+YIXU6cmj+n3\n+1QYAoEAYoB2u11xHKCrAkWT0snk54xV4pn4IZhGAsCxsbFyuawIb9j5+BsFHyfa5d8UYbiy4kEQ\nkU6no4i3nz17lsvlKpWKcoHj4+OU47vdbqvVunjxIu7E6/VCq0+rg89CqWdtbS0Wi0WjUeWTvF6v\nGuR0OBwqyuZo29rayuVyFouF40Oj0fh8vnw+7/V6GVLmZrLZLP2wTCaDAoAMMcp8I8ViEboHGfLf\njxzYb25qqun09BT0LArd/ApyGVXHY+G1Wi2z2cxs7+npKZhAXqbT6YC2M84oIpQHlK4CzZsHDx7E\nYrHbt2/TA1ZFPPwEF3Q6nU6nU53U5/H9H374obr/VCo1Pj4eCAQYwRSR7e1t/grsKwGZquQjY6YC\nTRHBE3NlVhR7bXp6mgb22dkZyZzX6/X5fBqNhvoelIyhUOjOnTuwe6ytrdESExGTyTQ9PY12GoVK\nli76FcRnXq+Xqvvq6urR0ZHJZPrVr34ViUSCwSC3vbS0pDgEHA4Hm1p5/RfBRg7suczpdKKMvLm5\nScrPocnIvcFgQGGWEiKDUDgJvV6vyoBYt9u1Wq0TExN0pAaDgSqI0cvlOGAyGk65WCxGNUyv14Pa\nV1PJXESj0SwvLzebzWKxSLWHK5vNZrpT7Hlug7pctVp1uVw0nNBJyufzcIgYjcZ+v09sC2UOt2Qy\nmQ4ODqjjOxyOk5OTl1566cMPP6SOLyITExMulysQCFBQYtRURJLJZKPR6PV60WhU6cj4fD6l+Ndo\nNBqNBreqkjmo9iqVCu+IFL3X661UKgrJDT2PVqulMglchQelqClH9pnN7/erAUcIDF0ul1arxTkR\n1lSrVYvF4nA4mDsUkU6nw7heuVweHx/HBcJyS7oDZEOdvCJiNps5xFkSKMw1Go1AIPDJJ58o+mm9\nXl8oFAja4vF4Npv90Y9+JCIXLlx49dVX19fX2+326uoqqAoOcZLCVCpVLpfxr9FodGNjY2VlhT4c\nO0iv16NvIiJjY2N0oGWIFVLtA5YujYNOp/Pqq6+enJxYrdbl5WVeBgYKYgF20LNnz+gaEEoWi0UF\nOILaBoLj83qboVCI4W5UyNWj5pba7fb6+jrAlp2dnaWlJfRjl5aWcIHb29ufGjX7AtsIRj+ykY1s\nZCP7d2mjDOy5jJzGZDL5/X5qEQq2QI41Pj6uqNDpdYkIrOqKKpDkAM0IRXRLl4hKIyEbcSL/q4pg\nxLaQLp6vjJGdKI1HWmjEvPwJYDDuh6oIkHoSSqB9fBa73a7T6ajjKwLier3OSAA3NjExQQuaZvLJ\nyUkwGFxZWaGEotVqQSfC9KiGVVFDp4OoipOTk5NAhNPpdLPZVBT+IrKzs8OzokxE6Ir8JsQlMgQX\n0PPgW4AXnBdbLJYXZ5bz8zOVK1QqlU6nw5IoFAosJOgH4fHLZrM+n08xz9KtUbuG/wKrm5ubQ1tV\nFSfV964EtT0ej1LGKZVKly9fppM0Ozu7sbEBWg/hRwU0rVQqly5dajabinTKYrHkcjmKB5T7WFTQ\nBopINBptt9tkk5CZUSdvNptqXAQEFkrK+XyenaI4FZkY+eijj6j8v/LKK+12u9frsbDBBEaj0XK5\n7PP5fvzjH8u5MXARabVa6EuA9mJr5PN5JkkKhYLD4YD4BvxhIpEwGAz5fF4xzszMzJycnKARSnX3\n/PN8EWzkwJ7LECz3+XzgjlRqj6AJy7pWq3GqKh0jVTmk3ghHO4Q0vV4PP/T/sPclsZJkV9knIjIz\nch7ePNY89OvBZVcPtmVA+sFItoSFZEuYDQskb9izYccWlmxYghBiwQYEQiBsjNSWLXe7u3F3u6qr\nq14Nr169OfPlPGdG/ItP9+O8yNfl11Xd2K/qfotSVr7IiBsR994zfeecw8NDeLpwDBa/mN4rvu+j\nHTMYVqC5i0gqlcJSh+cBFcHZt4JVQtDIFQGAUqnE+vFoPOE4zsOHD7UnhzRL3/dxxStXrmxsbODM\nSH+BkEZ8a2FhAawNPA02iAFbkqddX18HRe3SpUu6TRTudHNzU9dx2NraQjl/1Eg8c+YM/gr6zNbW\nFiqj4/xgZ83MzCCen8/nGUQ8d+6czqGxeAKwYqeYomLNZhOcWxFBiRmUpUAdI0yDXC4HbzDcv5hI\n2P1d193d3d3f3z979ixESzqdhqwCHwpTIpfLnT9/Hl3f0un0xsYGuyf3ej04/Q4PD1955RWsmi9+\n8YthGL777rvgTbCIxvXr10ul0s7ODkhYWBd7e3t3794tFotQwoBUKlWv1+Gif++997BqxOhJ4/F4\nNBp9/PHH/Mnh4eFPfvKTb37zm0zWFJHhcAiaCf4LUYr0FbgEr1y5IqaRxd7eHtotZbPZ0WgEDy2u\nCEHebrfr9To6SDSbzffee+/MmTPgbly+fBk3jgL5juN0Oh2d+4VH9DzACrATIZPJzM/PJ5NJqEWu\n62JPB8cJIR8xOVIPHjxArgkqsiOqJCKPHj3KZrOIgdfrddoirFcrIv1+H2rvuXPnIO2q1er+/j7W\nJGYtErCwjyPGu7KyAq5HEAT37t0DZRHs4U6ngx6AH3/8MTzjKCWMhltXrlz54IMPYAu2Wi3kUaFU\nIzasbrdLqw7cP9wj4nw3b95EZUIMPh6PIxjuGICvHI/H9/f3E4nErVu3XNeF0QkqSrVaRRVjJjjH\nYjFsbZubm4PBoFwuY2UuLi4+evTopZdeajQau7u72CvRXA2SD+QUSMfZ2dnd3d1XXnnlc58ZzzSm\npqaw6YOFhPxfpEmJIa8jRRcRX2z3vV4PytnMzMzW1haDmsvLy51OB7pUGIZYQUzFRf0kqEcLCwvD\n4XBmZgZhVNd1MZH6/f65c+eQ75VOp999991vfOMbIpLNZv/7v/8bUpOk32w2i2HX63UE80A9X1lZ\nuXz5MsQqWT+7u7uXL19GqK9Wq2EOY3hBEAwGg42NjampKaygmZmZUqk0MzNz//793d3dl19+GfcS\nhuG5c+fG4zGEELmOnU7n4cOHMzMzU1NT5PcGQQChBbHNGtxgMIFOEoYhhrG7u1ssFlEv9OWXX15a\nWsJiqVQq6HArIujAJyLj8fiNN974vOfGrwmsADsRMJnIj0eeihj2MGpSiHG5nD9/PpfLvfPOO/F4\nPJ/PoyC9mBKlyDVmxtLMzEyz2URX1lKplM1msV+jPMHVq1dv3769ublJqwXCwHEcRIbhQmHt9tde\new25vSLS6/UuXbpULpfv3r0LTwiYIGfOnBmPx/V6HWUVZ2dnscXAhQLCFbtgiAjKc4zH4263WyqV\nsDfhMBBYdPL1/fv3q9XqlStXwjB89OgR5C6KZfT7ffaRwiNFQB4jh10oIrOzs41G4+HDh1NTU9gr\nse90u93l5WWQpC9evMhuUl/60pdAbMlms2+//TbkK6on0Jtk8WSA8BCTMI7Z7jgOTG3HcVDnBV5c\nfBaR5eVlNHXEcgB/DwRaVH7BEsCZR6PR/v4+uoKhmZaI9Hq92dlZ3/fPnDmDw7DcUA4GnZ3/3//7\nf7Sw79+/v7GxgcKGtVoNqqHruhcvXgyCoFAooP0jJMr8/Hy/319dXcWXnOf7+/uXL18+PDxEiQ3Y\n/QsLC/v7+/fu3bt27RpLku7t7aHnmYiUSqVKpXLr1i0RicVi58+fB9Oy3W5jzNvb2xcuXOh0Ohcv\nXuz1ejs7OyC7Hx4e4gyDwQAOcNx7s9k8c+aM53kg9+KY119/HQlweBcbGxs//OEPxfg8UCsHdH+c\nAfL+eYAVYCcCuvPl83nU0ma3Wd/3W60Wgj1MHvz4448vXLiA2dbv9/v9Phuliwho98ViEZv+w4cP\nsSmgpnUYhsigRB5YpVL5jd/4jX/913+Fow91K8B06nQ6upny9PT06upqo9GoVqvsn3n79m3Xdbnd\n4GCkf25tbcFff+XKlbfffltMHG52drbb7bZaLTon19bWELtaWloinxhAcKvX62EXODw8LJfLiUSC\nucYwGdE5DG0PUX5XDElyd3dXVzEXEdRHwCIHRR63UygUUHRgYWGBNh8olzBn5+fnr1+/jmLeuVxu\nZWWFXVcsngyID4np6Ab+J/PogyBIJBKLi4u7u7tI/ML+HovF8ILAUcS0x3TFckDGCHx0g8HgjTfe\ngKEPt7aI+L4PTmCtVoPdg6jVO++802q1arUafpvNZpnPi7L0e3t7+XyeMunmzZsvvPAC/oviNfj+\n2rVrqH/PqtDNZvPll18uFAoff/wxehXhV8gyvHbtWj6f53L71re+defOnXK5DCcqWoXhJHDJ4Ids\n+Le1tYXVtLm5ORwO8UBAbMYCGY1GZ8+exb1fvXq1Xq+32234MJB8/eGHH16+fDkWi0Hbq1Qq0Fx3\ndna2t7ehcbLSx8zMzPPTSMgKsBNheXkZKfqpVOrBgwfFYhFTFpFtRFDhXRSRK1eugP9dqVTOnTuH\nyhQicunSpbfffns4HELSQIChdBMqFOBa0CvB13j55Zdv3brFziDoPwmRyXgYDp6amkI5eZSEF1Ut\ncDgc7u7uLiwsYIVsbW1tbm4mEgm0P3/77bfhGHEcZ3Z2dnV19eHDh8gLFpFarba3t4d6BPBkYn0i\nOQYBiUKhAHHVarXOnTvX6/USicTOzg6qDIjI+vo6cpaRDYYbh/4+GAzQ2IwV9pDi/eDBA9TggQ9H\nROB6AlOGPV+uXbt248aNq1evjkajR48escoc7sjS6J8SKysr2PRjsRi8cKlUqtVqMQaGOl65XA5m\nB94gGtwgvMqEfc/z+v1+qVTK5XKFQmFzc5NNTxDIicViNMd93+90Ou12e3Z2FloI/g3DEKkUGB7M\nHRHJZDL0OrDwDTwZf//3f//aa6+Vy2Von/gTWqu8/vrr+/v7X/va10Sk0WigceW3vvWtH/3oRxAb\nItJut1dWVuBXWFtbY6fmfr/fbrd3dnZKpdLBwQEeSD6fX19fP3PmzM7Ozp07d8C8wANsNBr1er3T\n6fR6PYTGkRCJrGR49cH+v3379vr6OvyNqIAlIktLS0xjmJubC4Lgn//5n0UE3ssrV65g09B0mM9n\nRvzawQqwE2E0Gk1PT6PyG3IPsYq2trYYykJdRBFxXbfb7aIvVywWW1xchAWGejPIvWUfh/39/Ww2\ni4rA6Gake68gcBWLxSgv0TAFbj3SC0ulEj4jXIzlVy6XkaqJUBzohSIyMzNz9uzZDz/8EMaZ7/ts\nbAFnPZqzYGv42te+dv369R/84AdQ8aamplioEHHmWCyGvDHcC9qmcLuBggwCGPq8wMrEz/EE0JSS\nqjqiaFeuXAGvkh1SEokEhRxkmIgsLCzAVrtx40apVLp58yZOvrKysr29rdPvLJ4A+/v7DFgmk8lS\nqVQoFJi3S5seeVG9Xg+BSRQ2BI9pcXERK2V9fX1xcRFvcGNjA/U4RATFUxAGRuNvEen3++CsolAA\nLo1r+b6fSCR2d3c9z2NEttFovPLKK9vb281mc29v7ytf+YqYHn5f//rXRSQIgkajAcVuaWlpZWUF\ncxK0QxGZmpqamZn5yU9+0mg0Xn75ZXgLxKRplkqlhYUF9HDB2RDDu3TpUqVScV33+vXrODOL8yaT\nScSn5+bmwEDZ2NhAsIC8GHT1wxNgKGt1dRVN1Dqdzle/+lXWOKUvd39//9GjR9/97ndF5L333gMx\nhIYmXgcL9zzzsHlgFhYWFhanEtYCOxHK5TKCzMj6KpfLMAu63S5UsEwmw77JyWSyUCjs7e3Nzc21\nWq3BYAB27w9+8AP0pIAVBdVvPB6jsuLly5fv37+PAqZi2oKAhgD2I0YCz1un0wnD0HVdGBwgAaNh\nLkqzi+nLjq4uGDaciouLi8hQgbWHBhkiUigUzpw5AyWxVCoxYeWjjz5qNpu7u7vgpGHYsCnh6mFJ\nuhdffHFnZ0enu7Fg1czMDHRJ1MsQkU6ngwYrKFrIxtDj8Rg2biwWKxQKV65cwQP5j//4j3a7DbWd\nJbL+53/+B+Vc5+bmvv/97y8vL6NHLUpJfa5T4nkAS/HCM5xMJsvl8mAwgC9uYWGhVqvNzc1Vq1W6\nCkUEVgXqELI/MpIjPc/r9Xog9WBu5/N58GZh62B2zc/PowIT0sVofr3++uvwe4/HY1ROglPhpZde\n2tra6vf7c3Nz3/72t3FmRMjg28AcZt+T9fX1ra2tIAh45nQ6/Ytf/KLf7y8tLcEyw2LpdDogMaIO\nFnwGcFCDxDQ9PX3+/HmcZ2pqCrzBS5cubW5uMgyMJ3DlyhXQrzB14ZDALcNbDuYFyh7u7e3NzMyg\nrBruZWFhYXd3t9/vd7tdriYO/tGjRyhKJyKvvPIKi3s987AC7ESIxWKgVPm+D4IvdmHXddEPotVq\nOY7DTb/VaoG4CH8F9nTUQmw2m+DyYZLF4/FSqQSvwnA4fPnll1GUmnURgyCAm1FMUH1qagr7eLVa\nJUcrk8kg8ZnubwYq0MedNaveeecdtK/FQp2ZmcGFkNCWz+ch0rBCKpUK6OmIYKGAqYjAI1+pVJCm\nhh1tfX09FosxMlcsFiGGSbnEkOCpZ0c0hADZ7ms8HoO9iUTR+/fv40EhGIYzMBqPGsGQYd1u9969\ne3Ab6rqIFk+MarXKrCa4jn3fdxwH1INEIoFC8uBNrKysYAMtlUoPHjxAxAuNv0VkYWHhwYMH169f\np/LHPEhUr0dyGJyQwPnz56vVarFYrNfrOPOFCxcwjFqttr6+jjReESmXy+fPn//t3/5tkDIge27d\nulWv1+Fhnp+fB81EjExCWki73YbsKRQKly5dunDhQrPZXF9fJwvXcZzFxcVmswkyIS734osv3r59\ne21trdVqPXz48Itf/GKkezimPZYb1n4ul/vpT3/aarWWl5chwFZXV+/evYvsTGTo4/ter4cG6K+8\n8srBwQGCW1xBKIi8ubmJ5LPr168/fPgwnU7DkQhws3oe4JDQZWFhYWFhcYpgVVQLCwsLi1MJK8As\nLCwsLE4lrACzsLCwsDiVsALMwsLCwuJUwgowCwsLC4tTCSvALCwsLCxOJawAs7CwsLA4lbACzMLC\nwsLiVMIKMAsLCwuLUwkrwCwsLCwsTiWsALOwsLCwOJWwAszCwsLC4lTCCjALCwsLi1MJK8AsLCws\nLE4lrACzsLCwsDiVsALMwsLCwuJUwgowCwsLC4tTCSvALCwsLCxOJawAs7CwsLA4lbACzMLCwsLi\nVMIKMAsLCwuLUwkrwCwsLCwsTiWsALOwsLCwOJWwAszCwsLC4lTCCjALCwsLi1MJK8AsLCwsLE4l\nrACzsLCwsDiVsALMwsLCwuJUwgowCwsLC4tTCSvALCwsLCxOJawAs7CwsLA4lbACzMLCwsLiVMIK\nMAsLCwuLUwkrwCwsLCwsTiWsALOwsLCwOJWwAszCwsLC4lTCCjALCwsLi1OJ2K96ABbPDhzHwYcw\nDH+1I7Gw+L+Enfm/KlgLzOKzgeM4YRjaBWzxvMHO/F8hrACz+GxgF7DF8wk783+FsC5Ei88McKTY\n9WzxvMHO/F8VrAA79fil/ne4OE54qqdchI//+ScN1YYQLJ4Aj582/5fT/pPGwPN/0jF25j8lrAD7\n1UBP3KeZxHrtTa5DnvmE+KSN4CRDxZ8eo4o+fqj472eylVj82uKzmvby2On0mUx7+Yxm/uOnvdiZ\n/3SwAuxXhsjE5TL4DCe0PvMk9Pf6opPfHzvUY8/wNOO0eB7wmLn0Wc38J5v2x/7Jzvxfc1gB9muN\nyCL8zKf7L1UYT/jzySOfYORWCbUA/u+nvXxGM//JRm5n/hPDCrBfazzeJfj0iurTu3Eec/JPex67\nhi2Ax8SKPumAT3Xyp488fdLM/7QntDP/KWEF2K81PldV9Jd65z/Vzyf/qv/7S09u17AFMTl5PsPp\n8ZTTfvIMkT/p/57k5HbmPw2sAPu1w6dyrx+rTn7Ssox8Hwl3PebLkwx18jy/dKg65GbpWBafag48\n8cz/pBn+mcz8k0x7sTP/s4P1vT5H+LT6pnXNWzwbsDP/WYV9TxZRWJXQ4vmEnfmnDlaAWVhYWFic\nSthaiBYWFhYWpxJWgFlYWFhYnEpYAWZhYWFhcSphBZiFhYWFxamEFWAWFhYWFqcSNpH5REin0y+9\n9NLBwYHneZ1Op9lsrq6uikir1cIBOzs7xWIRn4MgcF23Vqs5jpNMJkejked5+F5EXNcNgiCRSIxG\nIxwfhuFgMHAcJ5vNvv766/V6XUT29vYWFhbu37/f6XTW1tZA8K1UKqurq2fPnt3c3HzrrbeKxeLc\n3JyIfPzxxzhzMpnsdDrj8VhEPM9zHGc0Go3HY513mc1mRSSZTFar1VgstrCwgO+3trYymQwPazQa\nGJvruoPBAF/GYjHeI24Tn3l+3GM8Hh+Px5Opo57n+b6P70ejEZ5MGIYYcDKZFJF+v5/JZMbjMQ7A\n2Xi8TNRBcBwHF43AcRzP84bD4ad60RYaeDtinjlet+u6x5Z6CoIA3+N14NXoA1ge95dWimKBpTAM\nE4mE7/u9Xk9EME+wdjCMRCIhIsPhcDweJ5PJ8XjM2RiZ/FiD+DAYDB5TpE1PqjAMC4VCr9fD3HtM\nLXn86/t+v9+fmpoql8v4kpMTR+IZAtgKOCp9iU+q6IGx8Rn6vo8jh8Mh1ybmPJ7VMw9Loz8RVldX\nZ2dnRWRnZ0dEgiDo9/sikkqlzp49u7W1JSL5fL5arYpIo9FIJpONRmM8HmPzBVzX1VMWU3kwGEDS\niEgymUyn07VaTUS+8pWv3Lp1S0QymcxoNIIIGQwGf/Znf7a7u3vnzp3bt29vbGxgssbj8U6n47qu\n7/uDwQBT2ff9ZrOZTCbb7TauiMF4nodLz8/PHxwclEqlbreLA7rdbiqV6na7rusWCgURqVar+CtG\nnkqlcORgsCcmZQAAIABJREFUMKAAFrNKPc+j7NTFvDW4r+lHgf2C21YsFhuNRtgLPM/D1jMYDLSg\n+qU1e1zXjcVieE0WTwYoIviMORNRTQC8Mn4PSRYRYBpa43l8tU9cNJ1OYxJymomZP/g5JgmUqjAM\nfd8XI9Uo6mKxmJYlETmBAXPYruvixiG2qatBXo7HY/yVKqkePE+Cv1Kc466hw4nIaDRyHAeDpOSL\nPBA+Q71StALhui6+ibwOSO5jH/4zButCtLCwsLA4lbAW2Inwm7/5mw8ePMDnbDZ7eHgIlXB6ejqZ\nTLZarVqtRh3Kdd1MJgOfABQoeAXDMIQWFoZhOp2m7Z9MJmFgOY6Ty+VwlU6n43leOp0ejUaLi4vw\nVeZyuX6/f3BwUK1Wh8NhNpvFD8fjMayf8XgMO09EYCFBLaXRIyKe50GRhI3lOA5svgsXLuzs7DQa\nDeibS0tLIlKtVkulEkxM+GSgPyaTyV6vB8dOpL4iTJ/hcDhZNVWrivjG87xYLNbr9SJaJG8nFovh\nT8PhkIrzpMo5qcjjHjFCiyeD4zh0TInxykLBF+NLxJQT5SjGPI+8I5poOAOmpT6zNolwKkwkbTwN\nBgOYgLFYzPM8bV7jjeNP+KbdbtM6oT+QB+sBA9rjzcHjQywWGwwGiUQCyw03TuOPPnA8H9iCYlx5\nYoxF/kuvDBwnkZFEhqpvED8ZDocR7wVPqK2u58R5bgXYibC6utpoNHzf930fH6anp/GnM2fO7O/v\n3717V4xzg342EWk0Gvl8Hk68s2fP7uzstFqtMAyLxSJk0mg0yuVy8Xi8Xq/jnFgk09PTzWYzDEMI\nku3tbZwwnU4/evRIRLrdbiwWQ9RqNBr1+30sKm46cMRxkWN14TPckvF4PJVKlUolhLuw10OYcUUh\nACAiQRBAHvMkolypANYVZZXe0RAO1AKPAZVEItHv97VbiUCQA0uR/iJ6e+RoSEC7VnBMPB63LsSn\nQTwep+oD8TOpgnDvjvwWmzV9cXrT5wGiRJeGduLB462dh0EQYIYPh0PGXOl+h3QUEbjmHMdhGGxS\ny3GOFvnlv3qeU3y6rku3OT/jJFjyEC14JpTruDrFEk8LSQxFbVJoYWBaxmMY09PTlUrlWEmsF0VE\nP3iGYUkcJ0K/30+n05lMhhtipVIRkS996UsbGxv5fL5UKnHGVKvVIAiKxSJUQhGBmCmXy8lkErvA\n4eEhgwrtdjuTyaysrGxvb587d+7w8BA/qdfrc3NzW1tbruteuHBBRNrt9uLiIowwGjqiTBD8iy9h\nskAA6NmM1TU7O/vaa69tbGysr69rLRsR8tFoNDU1JSL1eh0rjQ59LX4gNXUgAfsOdg1udslkEkFB\nbExY+TgAIjASLeAJESTgrVExj+jO1G31mo/IWosnAIO42s4Qs29GIkBy1IhhPIybLE0Tvb0eq0Dr\na2HK0dwRFf0Kw1AbH77vx+NxEo4QH6L0isSTwuNqz+vYFTAajbRuxJvVJwnDkNuC53lQm6CZichw\nOBwMBpTH9NNA2mFlUQOLDIbRcS5AbDt6gUSid6ICZs8DrAA7EQaDASyhZrMJ8ZDP50Vkf38/lUpB\nQoxGI7gKgXq9XigU0uk0v4HXkbsqfVxXr16NxWLlcjmXy1Uqlfn5eZx5PB7v7+9j8fzsZz8TkXg8\n3u12e73e7Ozs/v4+BQ9XHehVWkGDAMBioOdHRKrV6o9//GM4IfWQwLT0fR8npNkU4WVgzYAzQtUP\nApuyhGwRuEr097hcYIAtCd9H4up8enCeaN0c4LJn1F2s9PqMQJGjGbP8KyWTton5J/ru9L6cSqV6\nvR7+qlWNx/iB9M6O2QWhBU8D/5RKpWKxWCKRcF0XfjnXdTF+jJATTEQymUyn09HXjcViEDzaO6qf\ngB4JzgO/N1yCWCOxWAwkWyxMzl4SjyNPkmZWPB7nSEiBESV0j3VOiJrtjqJBPf55PmN4jm71aTA7\nO5tMJl944YXxePz+++/Tv4wwUrvd7na7f/u3f/unf/qnIlKpVKanpxuNRrfbvXr16sOHD7lyoHzB\nKsKXYRim02nf99vtdiKRyOfzzWZTRDqdDpyEQRBMTU05hqaYSqX6/X6tVoPUpNUC0RUEgSaJRZYQ\nb8f3fayxIAgQ08KoWq1Wr9fDLgM5Wi6XGeGge0RE4gaVSoXKZrfbxdkiXhTsAvF4HPpsREOEms94\nYUQPZeBB1OLX69lR/Gz9p0Qi4TgOCZYWT4CIEoA4E+aYGFceVRYexq0f1g9mmib10UaXiZmpfX18\ns2S3OiZuSgGJf4vFIuh8yHLR+s0kN11bhHI0bkRFMMIWpgMT50kmk3AkxGIxLD0eDCHa7/cRvRPj\nmcdCplWKg/EAIXg4b2nbackd8cxHHjVEtV4d0FxP9I5POawFdiIkk8lut4uVk0wmdb7U4eEhkjAg\nvUQEoSzw2uPx+NWrV99//31RZgECwkxy6nQ62WzW87xcLvfCCy9cvXpVRP7u7/4umUxCcaNR5bpu\no9HIZDKrq6tbW1vw+OOilFuTGgnkB7eDZDLJjcl13XQ6DfY/XHnz8/MgpFy8eFFEer1ep9PRTjz8\ncDgcDodDrhnIGITWxGwK8Xhc7wJQvSd1SfqFeI96R+v3+/Si8MtJCS0TWiq07GPfpsXJQa1CT0JN\nHIdlM2mZ0dk7KSG0PzDC9p7cneVoKhVNjSAIkPglIvv7+yKC9cLzU3861ojRI5GjpoweA8UkHRIi\nMhgMoKjBFux2u1ptwq31ej3Sncbj8XA4zGQyTBslIGYQDog8qIifNpfLTU9P379/X5RdyIUZyfWc\nXGXPKiyN3sLCwsLiVMJaYCfCeDzOZDIbGxtf/epXb9y4oa0EaFiaB1EqlUSkVqshpFQul+mC0A4x\naKAo1eE4TqlUevXVVweDAeyGixcvfvDBB0EQnD17ttlsnj17VkTu3LmzuLgIDvG1a9d+9KMf0TMz\n6W8R4/TQmqYYzj1+NTMzMzU1BQtMRAqFwtraWqlUun37NrRFpGPDXtT36Ps+TExcDtU9kAGNA0Aw\n0Z4leEto/NG3Q28SFefQZI9GwgaTzv2IBk2k0+ljaY0WnwoM54h5L6C24htSdeAZjgQvcbxzNJUC\nHzj9RBELHx8Gm/zsOA6tcwDhWJmYFXQ/aDcd3CERs552THA01ZoeS4S0wV0i9Tcej8PfLiLVahVh\ngsiG0G63x+MxqgRw/NoliGcoisobsaiazSYrEmifLcmWQRDAM0Tj73mAFWAnAtI7wjDc29tbW1t7\n8803MVfy+XwQBNlsFrMNzkPwJkqlUhiGjUYjnU6DZVur1Xq9HuLMnG2grQ+Hw5WVlcFgcPv2bfA1\nvve977300kv/+I//WK1Wp6amUJVDRIIgeOWVV27evLm+vp5KpcCAx/fwb+i6G5SXWC2I2IGv1e12\nM5kM5BMIh/v7+6VSKZFIPHz4UETOnz8vIru7uyBV4va5qJCm5pgiPYjbQURhU9DcEI4HDhMdFAG4\nmEVRqMk2jLinIrGuCEhL43Zm8TSgbhGLxZLJZL/fp2dYpzAC3FW1z5muQr0pk5sO7e1TReJ1rFS7\nByl7GBiORNc0ZUNUQE4mFCA9VD2LoOoh7iVmkhcKBSidSOKcvB2UrUFcim5PcEC4KLi4yHWKXB3y\nVR+Gf8GcwjAgHbXr/pmHFWAnQrvdnp2dXVpa6na79+7dS6VSnGHZbDaTyezv71erVcik73znO3/x\nF3+BDKpUKvXSSy9BSvm+X6vVSHPiygc14/79+6+++upwOARj/vbt21//+tffeeedc+fO7e3t4XIL\nCwvr6+uPHj3qdDq5XE7HvThlyWiC+QIF2XXdS5cuQcLBjY7MM0gLbPrnz5/vdDq///u//+///u+t\nVuvNN9/EjSMZKAgCvVVp4UQ9vVQqMSynwwlUbPXK9H1/NBpR4BGR3YeCLTQQk+KG46lc60gMrUyL\npwEYQ/hMQjklRBAEvV4PqeigFKEcaKvV0gyCyZpGOlIFCXds3SMtCTgHaGMlEglEVXk8pkeEoE9n\niRYJINlCxcEyCYKAHFfNA4xoS5OBNNd1Dw4OVlZWRGRnZwdPA/QrkhWTySSYirpKIThQYNhHRihK\nSEesSUS/IgUep6enMWbqBLip5wGWhXginDlzhooPNmvYHPl8HqTzZrOJ6r0iksvltre3p6enE4kE\nbTIRqdfrYJMPBoMXXnhhY2NDRAaDAbJGfN//zne+c3BwcOXKFRE5ODj45je/+Qd/8Ad/8id/8g//\n8A94TajEAUEyMzMTj8f39vZEBAQTOZoCAtUMkqBUKi0tLb344osi8uqrr/7VX/1VpVJBpUHHcVDm\nEVWDR6PRcDjc2tqCbUddFUZbGIZUGKm9Ul2FOsmNiZpgPp9vNBrcKXAALaTIjgPgT6iAwG8inlIx\nljEkNHgiuArKoyQSCdqjFk8AMDnxmR7d4XDIDBA8ds/z4D2eZO6JMo8wZ1xTmdA19WIoPPSldVbf\npPyAk82dSHCWo3UOMQO53Wt2O+YV3CGiPHgkd+hhO0dJj+RPsrwIfgsHYxAEoONC9vu+D89Hs9nU\nEhdXwRlc140sHBpb2u+qjUsonaBBisjCwkK73cZsx37ynMx8a4GdCHNzc8jxguIP6SUi7XYbiwcM\neJg4IrK4uCjKnQWgtCgiQx9++CH81PDjB0EwPT29ubmZyWT+8i//UkT+5V/+5ac//enU1NTPfvYz\nJizX6/VSqQQ9t9FotFotrBnf97VJB2CzGI1GqDe/vb1dLpdF5Pvf/z6IhdlsFpxjhLt839/d3cUy\nI4OLMqndbmu7BwdgeWuvXWgSbnBTOB4GKGuV6q1BD5jnYTSCS1oU+Q2bF/ZQqNLYBAOTIQRks1lb\nR+opwVAQCH5iNAb8NZFI4DNoeOFEKi5AhQNWcjabhelPgTEZyHRUArIctcJFFb/QMVc9VfhD1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iJBxuUC8kyMLt7W08jYODg+vXr7/77rvpdHpra4uOFDF7IgPyeKrUzbWHE54T13XhgdQGX2i4\nkRZPA+ybvV7v2AwtiBy6vDiRaJSTRq8xNt1KRXntUqkUqkiL8qvDzGK9aZ1lGLH2qN/Q+6cTruWo\nOhXh6ItykFIf0v52VtqkWMLw0C/NdV2YPvl8HmaQzujAgsVTckzVYzHKged558+fPzg4iMfjIAnr\nJyxK3EIHBaOYfUTxJLV7E3h+nOdWgJ0IiURiZmam0+mgw3K/379z546IoLMl+EUPHjxA4xI40Fhp\nqVarUXKgxSUkmU4BcSbofODRhWH49ttve54HfyN25EQi8Vu/9Vvvv//+Rx99hAx/0t9FJJPJsC0Q\n1szkSoZ06Xa7qVQKRaHwQ5RoQuQMgTReWkxhkYsXL4pIoVD43ve+90d/9EcgMULGwFVCXVsm3Dhh\nGMLRh6f04MGDdruNW9Z7Cm48ogJDdEUUapbvgjJLJZQUuM92GjxvcEzrYdLE5agk8ExLgciei5cC\nX1xEUcMMuXjx4v7+vhivQzwex6TFVGTau5iuIlTgRK0XKigUZkjYp6wNVAmPSTqrvhG4NKEYBSaX\nX98m7UhROVsQTuT3Qm6x8DErbqCIFPyNnNjwjk5PTz948CCfzyMvU5TEisgkRAFExPf9VqvFEl+O\nKeLFZfhc6W2WRn8i+L6PihvI8x2rhr/YrBFxwdYMXcl1XQRyV1dXWUUCDHvtLQEVApuvtkIAulkc\nQ9+Hl3Jpacn3/Rs3bmBO059ZKBQcx2H/Le4+4N3CakRNLGw9k1s81i1KFIpIsVhEianZ2dmpqanN\nzU0Uv/jOd77z13/91whOaFtzPB6DJA3BRtciKdSe59Gzp1PKyNqAWoqlrrNcQ0NchrXKWwtMQwAd\nyRPjirR5YE8DvqyZmRn0n5OJ0hjUMLRICFVXRk1Ncl0X6VO0zOAcCxVlnGcQY3lMBrEi+KRNbDIe\nxuM/6YTwqI9GI+SH7e3tYfbqe4Fxj0Ad1iPuJZlMFovFjY0NPAr6DESVnqJehW+mp6ehw1Gw0XOu\nTcwgCNLp9JUrV6rV6tbWFn2YVNdkwjK2eWAW/wukdGBThl2FqZzJZFqtFgyv2dnZ+/fvi6mwmUql\n0ObnBtclAAAgAElEQVQjlUph04dfETKMkgOSj2RC7XthfZpUKgVyHbZj1+SEigg6k41Goy9/+ctv\nvfVWPp+v1+vkWbCyQCwWQ81cMU0ZxJhiCKqJajDBuJeYZLJkMvlbv/VbP/3pT5eXl1FtBC6RwWBw\n9uzZnZ0djBmBukwmA3VS70quqqGntyr6NrneINpDhYhjELvDpKLqqHqyIoKWZlaAPQ1ohZRKpXq9\nPkm00QdH3gXYuVonQ6wIL5pbP6Yl3jJpPpiBMGgiSgyv6x4txUs7b3J2RaYK/ZA0Cnl8aMpcUSFD\n/iL86rS0UFIESqEW2yiUEykOgieAgenjoeCOTdEppnZxzPg5+5gnk8mLFy8+evSo3W5HCEqh6YWG\n/0Z8Oc82rI/FwsLCwuJUwsbATgTws6GQOo6Ty+WgZ9HffebMGXqxRQQGk2OKlsJ/MhwOO51OqVQi\nw0pECoVCrVZDeHY0GuGHYjh1UBvhlxORXq83Nzc3Ho+Rc0buU7vdfvDgwQsvvIA4MP3jqB/f6/Wg\nC7M+L3Q06nG6YCCiEWQYw1+HmF8qlXr48CGtqFdffXV7exs2KDVWVBLRzC45GnLQQXgyNUZHGwaO\njxYy578YDIw/qtW02BAPQMSu2WxGzmnxBOB7RBtxWsaT/jcaQPgv5gxsAp1liECXZt66qleq53kw\ny2iQhYYfz5AqZkXkzerrctje0QbNvBdNZ42YXwwHMGAGtzwWI93+7OM8OtpeWZfijPgbAtWohQd0\nOh2UZMSEx6nIWPEMxBhVDx48oFNBLyLnaAYePTrPA56X+3xKBEFQKpWq1er8/Dyaq2Jewh+yv7/P\n4JCYKYsigfF4fGpq6uzZsyJSq9XYQJk7PkQXeB/4BoG0wWCQy+UYrwJZI51OV6vVTCaDmXp4eMii\ni++///53v/tdUEtYsRueTNd1USGba4k8C91/RFTRQl0sHGtvf38fLhR66t966y0E1VAQUowLka5/\nRA7ESEEsNv1USTDRvA85uk/xS7BUQkMV0+4sbEmzs7N7e3uI/x27zVl8WpCJgPKynql8GOFxQN3h\nl/CYoR+b5lPoKC+STPAnfqA8ABGDLjWenFcPjmYl62grU8Eew+KJhFd5I5rrwb+C8YQvsTbRuJwp\nmxwMavUyphuh4MqES5OyWctdCiQ8KyqjqKLAcGNEHCLiSNrI80OjtzGwEyGTyRQKhWazOTc3hy2S\n9T1jsVin0/FUi5BQ5WOGpqwfzhOGYSaT0audOc7pdBpqKakNkD2oFAyZxPQsOOVjsRh6sqCw23g8\nhrYIQYLiobFYjJmSODPK+FKdnJ+fZ+HqqampK1euvPnmmwyYQZtDMJ8BADElSsmHZplHTxVnk6Ph\nLp1kSmgZNrmjab0+NN1Y9DCw+PnAIaf5qOWoUmzxaQE+Dj67Js2Ligi3e1oM/B7WMH0PIgKzhmem\n/kGpRh6pmKQoTUzVKwgfUCxUx7c0z1AfOQkta/kN7X5Hpa+5hkaPceIJeKYjF+vt8oRc7HwadD9E\nGiO4pg8Lb2RS3DKmqykkGKpeWZEfTpY1eYZhLbATYTweVyoVbOJgB5AQkclkmNTFSY/pBW4uZ2E6\nnYZ3TlRtCyyVmOnODMqGGBIHCnbAgSNGwex0OqgQjyYLYkoxTU1NZbPZg4MD+huxC1CTJcPQM/Vy\npqamSFZMJBLlcrlWq/GHouopiEg2m221Wjw5VpFmLY9NASfYbZHYOyUivqTo0io2/4QPzC0FgiBA\nUwkGqLPZbDKZRLMlkDy1F+W54hN/HhirDo143RRjYvhHjkGg8tmpUpDuJMo0F6OOiJkP+K3mHehW\nI5OGO3Qm7ZcW5QN8vFIeMR95FdYEEWW90Yevy3OwPj0up4lXWOOOKWzPp4TnplPi+BNWqefzcVTW\nphZ7gWqw56ocAz5AHmYtMIsjgOnDeYO6iGJiXeg5ks/nkTuF2ZPJZODmJss8CIJ8Pu/7fqVSQU4V\nTo7ksLEp3a33fRoQVPrEpOKLqQOCb9CwOFCZmI1GIwxDqsDuRB4MxMPc3BwKhSBfDftIZH/B1bPZ\nLA1EfQxjadr9woIgfCB0DPKpep6HDBjtYMGoaG8hzwbHw8qEXwW3CckNqYmgS2SXnMyitTg5wCTE\n58CUPI9sjgip0uMnyukHwx3fQza4RzvjiNLk9MvS/rfJkBskQcSHFplsEUTOQBWTBekxNihA+OyY\n+kxihDfkk5iGRIw/aQOIallk4um7oF8BN4JJm0wmuUxC0wyP5m9oap3gzKBE8vvI3WFIz4nvwQqw\nEwEBLfTcgouZ855ySIzS1Ov1kC4GigfXLaII6XSa9WN4cmZ10E4qlUr7+/us7wcRMjU1BWGjgwE4\nCeZ3IpGYnp7GyUejEWNvBwcHvIp2oJOjIUY6Rtzr8G+I4RNzmaHDOuPh2ssnKit50tEREWBitEi6\nXGjz6UqJYtyzgSmLx/IccOCggbW+HMZmBdjTgNEUaBWgAvm+r91T6ImDNq34hnMeHgs4tGmrUcHS\n9jGd7fgvjZVJ2gjmOZv78I1jc0eC4OSeNmnl83veKWJIVMVoeuJG2O5SDDkrNP1dtUNycgkAvLqj\nerVATuO6tDi5TDQJBeud/nnW6wkn8uf4siyN3sLCwsLC4tcXNgZ2Iujed7BU2DnFNazuWCxGljDD\nVIuLi9VqFQeDItw3YHVO/GR5ebnRaBweHoIIjkI7YB+JUVfL5TJ5Vtr8QjS4WCzCYYgwVaVSQSsH\n13XPnDkzOzv70UcfiQgSsVH9GhnEmishIjHTlFaMsokv0f2SkWQEmbRdpUPiOl4SKA6xM1FiAD/R\nKipbbJBLgkcNuzY0RaTEmAizs7My0eSC/l6LJ8ZkZ+0IjwZe7kQi0Wg0aENrC4mOLOex3W1Ck0Gs\nQ6Q0L7T5Jaboe6DY8PRG6OMfQ+jQV4FXUEwEl5YiR4u69YHJZRYR2Hm0tyJJxJFh6O/Bh5r0nYpi\nG4Wq84teONlsNp1Ol8vlULVuoB8oEoN/fmb+83KfTwnIHhZqG4/HzWYT0RfU+U2n03A7JBKJZDIJ\nIZRKpXzfR7EMEXFdF01PcCpdJ2J1dRUzOJfLlcvlcrm8vLxMsjirtJGvDMGgGfAgMcLlCID3n8lk\nSqXSmTNnQNYYDAatVgulnuARnZ+f1zMePjqy3ukJ6Xa7S0tLQRD0FUJTPYtnQJgKApv+n8B0nac7\niAIYm102m41sUjjA87xisYhf0ZNDT6NjKgiXy+V2u02qJPZBx3HQ8sbiicGNUqspqP/JV4n9lJu+\nnkgMoDKuKWYrj7jdRAmnQJW7jAS6CO1sZIIa5wz+FJEfx95gGIbdbrfb7SL6hVvQ1c54OcaGAVJ5\n6dnmyOlFdBRYcYMKAaKGdHhy2DgyVNVwxBTNgf6KhM5IOxggHo9jT3h+8sBsDOxEQFAXtW20pg+V\nKgzD6elpLir2nxwOh6jStLKyIiK9Xq9arVYqFcgSTP1UKrW8vAzRgp+zm1ev11tZWanVant7e+Qm\ngJSI39IAYgcWaKaYxJ7nLS0tgeLfarVWVlb29vZEpFwuowAd/l1dXb1x44aIhGGISj9614BsZpsY\nNOoUka2tLUgv3e1CDFORW49+gGRw8RuykyPKsuu6MzMzYBW6ptg5no+W36L2OBTuipnmnJBhoWLB\nWDwB8H75QfMMRXX64PHUqOAS0KeiSoTX5Krc5IgjQYzlp+2YiH4DuaXtHvZ75BX1Z22gOIpJRLIG\nLR6MM5VKwfMBlwaL8DqKZ4S0SB2C0gWomIEAT4yI9Pt9kGI4VC2qGfbjDB+rDimeKZpMhmfkTiPS\nOpFIYM0+87AC7ESA84SsWVcVOsPahlpE/kW1WkVXsNFoNDc3h5OkUql4PL63t+f7PhsQe553/vz5\n3/md3/n4449v3bpVKBRQbBBOyHq9DhcNy/Vi7jJphm3DsFOzrryI9Pv9xcVFtKwMw3BnZwd5xzs7\nO/h5GIZIvSS5Q0wpfVHuCMeU1sbNwmrEOkdU3zE5Lp5pg5lKpVBtxDWsX2rroQo762h2RBOHV5bd\nO8XwHvnQuPJRehXLG3oxBx+G4XMSyv6cALMen+nTo3sNvAM49BxViNIxLSshA5gdD4cwSeeeaSOA\ns5HRIBPuZVEvlOoOhId29OGDlrKadiFKgDlHeUw4BsooDCOKBM9UMhybGrsceWAI9M5E26BsNsvy\nnhCHaNSHugG0a2l+hUc5ilwpnPw8M59wZJHy1nAkssif6J2fMjwvluZTwlVdUHXDSdbbxWH8UCqV\n+v1+Npvt9XrdbhcyjClZBwcHIB+LyHA4PHfu3MOHD+/du4faGRA/MHdEJJ1Or6ysoJ49Zz8dZRwh\nVLZkMlmr1WDDxePxnZ2dWq2GhtHj8RjufhSYB0MScTtuJXSABCblhX6hQqHQaDTIX3cchyk+QRDM\nzMyISKvVKhaL1WoVVbUia4+eQO4m2LyoE+gHjqvo1c6dAh4eZiZEks/0K7N5YE8JmkEw7ulh48Tj\ni9M+RsyiTqejG8tB8UJyBdQO6DqIIouZIZx1dDtra0+LCihP9EzgywgNVd+LXiyuyr/W7krcjqvK\neWBSoSRbLBbDytJiTxuIjPtq2TkajVqtFh5dqVTyPA8O9nq9jvI6PE8koBUJp8EDhOEx31GOMzrd\nowndzzasADsRsGjpziLdFk4PzDl4sURkZ2cnnU4jBoMCSBsbG2IMo7m5ORTOQNIYTv7mm2+KCJov\nw066f/8+1ozneZBeEVBHE5MZVq/XRZHy0+l0LpcbDofr6+vIr9za2hJTxQdGGwxBXV+AIXoMAznU\n8/Pz7IqJkyPDutPpYKmjlkc+n0cynGvKb2OoWj5xaVHNpKapFWSaudpcw/YXyQYdj8eZTIbSlGs4\nUvjA4glAE2dsWg+n02m4AXCAY5KlIG9YzU9nOGnVBJ/j8TinB47BlEM/VREZDodkKkWGpK0TRomC\niWIuMhE5i4gcOU4OifIiYkjkZwUq0S1QRRr1U6LkgFTG5xdffDGfz7///vv4Va1WQ/tAx8SAuYqZ\nGeKoViy0tNDHkp3Z6ZDXHtFJMf/Mw7oQT4RkMskpjknDKaKpcfwyCAIkCCNYBW94sViEUwUHo7Ux\n0o3xq8Fg8K1vfevf/u3fRKTValUqFewazKBEP+h8Pp9Op2/fvh2GISJSzWYzm81iYYQmeblQKMDJ\nQzcaNL7hcJjNZj3PQzWNSTUW4P1C6QO7RB8DFRhMEFxidnYWhYlF+RhxcGjyWpyjuczaKaS/dEw5\nOL0lBapkIhXnqampbrerDQVRTZWek0jA5wR06hLzRsCjoQAjWUZU/WUxLFY6LVhEBgsHXmtRE0xM\niBRzSQzFiWGziNKjt35t+Wn7T4765fhzfPBMNWG6/SdB4bSwsLC9vZ1KpWjQ60A47C2GtTgq3/ch\nzufn533f/+ijj1jnjOUN2UomMsgwDBkUAAJVSjgwnVzkqDAWZQg+PzLMshAtLCwsLE4lrAV2IsAC\nc1XhPuhHY9N2T0R836eBAoJfqVRqt9usf1gsFlFKEXYYzLLXXnvtgw8+WFpaunTp0u3btw8PDxH6\nGgwGs7Oz5XIZyhfLYJMfValUstksi2gwvwTloDCetbW1jz76KJVK5XI5JJmJcuOAiasNIFb7FeUq\nBGfMcRwEAHByUFRc1aZSFAM4QjDT7kH9VB1TQC/yPZVuuG54Em3/sVBCoVAYjUasTskbAeXk4ODg\niV+6hbbAAlNOXpPx9MHD4RCmfzKZbDQajuHUkBdKvgb8vXzp2hOoQ0pjVf9eX0i7mvENLY/INKNJ\nJKo8FUqHDIdDciwj0CsOxPexaneCO8Xyod+FZGA8nHQ6jXI8InL+/Pnbt2/jh/gGa5YPlk5v3ovj\nOMvLy/1+H+kukbFpD9CxFA9tjz7zsALsRCAxHfZ7KpXCLIT3DJMPpQhxcL/fZ74zfAVi6K2e5730\n0kuPHj1CRKpUKlH+9Xo9cNDFTMfFxUXUm2dHZjjKeS24DUl2AI9DRyZEJBaLLSws7O/vYxjT09ON\nRmNhYWF9fZ0RDjlKDmZVU4hD5Cxz/fOxYLnOz88j7RqF+dn/yZlI/ZmcbHQhHrv83KP1G7H1BKZ8\nlBi2FXNRs9kshDS2WpQn/qzmwHMI5tqjoQF8ztQkdFyTCoeIQKULVQ1cHIYXp+n4GloTwpH4IRuI\nRI7Xok5PEu055Pd6wKCt4jA2WeYAsBby+TxruoPEG4ahTiscDAaj0QgSOiJ3IcZ83ydzGK5sxBrE\n1IkPVHWoiCOdWS6hScQkPUSTD+W4OgBylP3xzMMKsBMBMxUs2EgNN8gwmFb8nvXpxRgxIhIEAVRa\nVOBFPFZEwjBstVq5XG5lZeXRo0cQjegEhs5DQRAgkywWi927dy+ZTIIbwqrYkK+MbHNz90z7pTAM\nC4UCbL5Wq4UYAHZ/OvdHoxFaxuioA1VLMQFtLONILQAYZ6hXwiLlclRZDkztef1D6s6RR+qohFDN\nI9A0ATF2pKcaJGrlPQxDDMziycB2B5j/rHZIvs/YNKDi8WKKtvAk1KIcU6AvMjcw38aqfVeoqgZP\nkksjUgqISDKZMEG0zReaXCsqavwrroXQshhh43neJDEddUa0HMrlcqhug+UGUhXLopIGxTWFB4KU\nAzCQRbGo0B0NX8K/gnWEwLYuN+ocrV+KE1oavcX/golTutynmF0Vc5SCDQw6KGKh6uvBPPxut3v2\n7FlU64AJlUwmU6nU3t4elFwRKRaL6BKidV6ElNHcC1RanHA4HGLZYB1iQ0GFe+zvnucdHh5iA0qn\n08iyxHoYm4qonudVq1Xel+Z34b5g0ml2H86g951Jhw9BaURLDqJu0kEUWZCRAHVo6iCIaWwByoBO\nZY0QUiyeGGDBeJ5Ho58KGScJpmgqlaJtAZXCUenM0DlQS0Wn/WHOMKVdu4tR4EPPB42IvT7JpJ90\nXEeMEv1fLBMeif4S/GukMq+IIF1EJvx1uHERIcc4DMN6va7LlyDnxHGcWq2Gum7wgVPN9TwP0o5p\nl2IWDl2y+oqhSrJ83Lt8FmEtsBNBs13hgmAzVr3AuJ7xK4g911S2piNxOBwWi0UGmQqFAno9i0i5\nXCZ/HaaSmEIAIpLJZL7whS8Mh8M7d+4EQYB0LlFF2XFduua5COPxeLPZ1Poy5j0Wmw5ikTNGqTYY\nDFKp1Pz8/M7ODtdnPp+HOARzjMX1eU5uPfhe70RUMCN707Fuokl3kB6e/lNMNbrEFsnUAosnA/ju\notos4I1gCrFBdmi6nvKHukimtub1Vku3G0mw/JL+NCZK88zaAtMiivT3Yzc0x4Bjiwge6mGhqcoY\nmH4rmvgKcYKnEYYhO/gwDQDzHwqlazLY0EUPmfiFQuHq1asisrGx0e12O50OQnHar5NMJkGs1Yoa\nnQr6aeDJ0684qfY987AC7ETQqwXuaahRtVoNGmUQBGyIgOnLojikFFNORELTxWIRvbhWV1dbrRZj\nvJAKMK1wZlDG8/l8q9XCGUgTR6VRx1Rsw5euaTCm/TMQSPisMyLB3J2dnT04OEDemIgkk0ksTu4a\nWMyXL1++e/cuLsRmuzpJLiKN9DTjzhVx+HySAKOurTe+CJneMRQbLm9XdYqxeDLQvQyrF7EZVn+m\n9kPuuLZ+qOdpzgK86K7rsio0EJi0ZUw2KoL4Fds28u1HPPm8KC8HYGwc56Qrkv8NDd0D0os5y7As\nUWJNjpYyENPWlSFYrKxI+Y9OpwPXCKqyIQwhZrG0221sHXS6zs3N7ezsuKZfM72OvAu9lnGAO9HG\nMzyuzcozCSvAToRMJgNtS0RA4oiZpnwwSkB7owDT2fieKtOJX7mqnMHMzEy324WzGzlhSGfGzBbj\nlNBaKv6LJYGTJ5NJTHG4NTi/qa5Co6RqFppi7QxEi9liKHqhZlK7bLfbELS6Opzv+1NTU8PhEGQ/\nBi3kEwymY8WYlqCiQtxUGiKFQphIJEf9SJEN1D3aYsriCcCJlEgksK33ej1dYF4bLoEpwsndll50\nHI9j8JYZxaS/Uac6MabreR6LX4hRyKjKyFHCYUQl0vXGdO4U/8of8nYCUygrZvpwinGZQnhz1UOi\nNxoN1ArAkbDGpqenM5kMCraJihbncrnRaJRMJpGOmc1mGRLmbYqpfsLZS08PxpbNZpvNJt8Ltppw\noq3lYzz5zxhsqMDCwsLC4lTCkjhOBFCAxGQmgRQrpidCIpGAI1vriWIiMTQLPNX3gVE0MQ2HxNgN\nDGuJSKlUajQadJg4hrZEzzgOY99k2iuiai8B/J7UCWiRrDqqT+j7PtyMrVYL/nf4QuG9FJG1tbVb\nt26JyKNHjxgwiES8QhNap0apH2kkHOKYisA6eOZMNHlCBDFi0uHn+jC4c58TJfTzg7ZOer2e7/uR\n3C/XJAJq4xsWDM1fvBG+XJaJ0uErvEFPFZhH1U3W1dVW+KSrWZT9zTMjR1NU4+9Itpm+wdCEUXkM\ni50iCAczUfsq4LpYWFhAkwcxMcJms7m/vw+blV/CFT8ajVDkWkTQJmI0GuXzeTgVeO90hutMtTAM\nwUlOp9MkMNOcjbysYx/RMwnrQjwRmIRB4x2Ob5CFGCHg7q9Ly4xV03H8EJFbRgVAzcKei16UYvYC\n8HRR1VBEdnd30ccLF+WZIWAg3rRXR89phuiY5qWJlKKIWHDTgeuPaliDwYA8TMpX9rzgVUDu184c\nHb7CM6SMjDzeSe+iHjw+6O1DQwtOfM5kMrFYDN0APs17tjgCPk/4qUgj5KyDbgQhhBxE/pbxGwZv\nHJMaof2EkGf8ldb2RIk9fBnxE4aq1K9WX3g8RSNYvgjrcvxcgGIYtoj5jY/2MeG6oB5ZKpUQ/E4m\nk57nvfzyy++++64Y9ZG9Lsemsj4eFOoJjMdjpCoWi0XE9obD4auvvrqzs4OSp3AzQqllsA0iPJ1O\n12q11dXVu3fv6kgwL02WVvjcNBKyAuxE0AuD+faiLIB0Os1Kbtijj51A6XQaihX56JA9EEtIq6Q+\nBTqiZoTX63VtY0Xa3UbMIO4LuluYmDRJvbNjJFyxUIQhMtvtNuq3hmEIbrEWxghQc5BYQvyGkWQt\n/j/JMOKWgR9OevaZjRCRf3o8ruuyjAg2NVvS92nA8n1ipAXIrpHIIlwLrCtPlqlOZGarOSyfYrGI\nXCvkO6JHXWB6IPC0zPGPvHpngjUesf55BkwhiARaZvxVhPKDc2qiCoSWa/op84eQu4hDz83NPXr0\niGPQLhDcYD6fxwnH4/GFCxfu37+PB/J7v/d7BwcHP/rRj1CNGnMVDgaEu7jAfd/PZDLIq+n1emfP\nnkV1D+aE0YQVU63Dkjgs/heOQWjyumjl4K+I9MJqabVaqPhOvx+D0pipy8vLKDYvxjaCiwbHQ42F\nPjg9PX1wcMDLDYfDbrcLbZHONFEmTjwez+VyoHJQnjmmAhCXlnO0nxDhTqRPkYdGxyOPwXPQAilC\n9HImKPKeKVIeOcA5yrkXs3HQv8TzHztsLfxIY8vn87Va7TlJ5/ycQAFGlQL1mrnvo+lPPB4H7Xuk\nul9C/6BtTSIfdmfw8UQknU5Xq1WIMTmuMUqoWvBEnISR2RUe5dbLUWdaxO0cMfojJX2ZCKxz5EnC\nwhwOVd0AvRtwzPgSy3k8HoN4GYvF0OQWov38+fM3btyAoMKRrO6dz+fBpxeRYrHY6/WazWYQBJcv\nXxaRe/fuibEmKcDo+HGem2K+NgZ2UkR2WL2EXNfFVINvGhlXrNXNbXc8HsOE2tnZ0bVqRqPR/Px8\nrVZrNBqe5507d05ENjc3S6XS2toa+jhr1wqpUBHXCtBqtZgRiX/pPERYq9fr0VKkTSmK5qcFFXYW\naLI62uG6bsTzLkeTDeSoqURBxWjcJFFKB7S031V/700Ux4tckVo2k7Itnhgw1sVQQynMSK9tt9tw\nzekerdQ86JEWEwoKTSWwWCyGVN96vU7HI1cK/Y1i3q9m4WrNbNIIo9DSCzacaH+sXZRydBbhe/ot\naGzpNagPjuwMQRAkk0kUIhCTAzAyPZ1d14XpWalUkNAJ9RdUZBEplUr1er1QKICoefHiRRHZ398v\nFouDwSCdTh8eHrJAWmASQPHEaPs+1Vs/VbAW2IkQ0eO0yu8YcgGPgZ3Bmm+sXICVgDMUCgVsDclk\nslqttlqtfD6/vLxcrVaxqND7rlwuD4dDlufA8XCyQ4Dp1xeYUlUg4uNUztFKGWIWMJ0MYRgytRme\nd62NYuEhTwVbQ8SREqgWvZFVzYWtJVDkqQam9YO+FwY2eIyY0jui9F99UxEbDvovbQKLJ0OhUMDE\nQ3JhoOr5iklz5guiMEADcfSK830f0wnkb8z/mOrFqinjfH38MrI70bF8rLHF6c2Zwx9ykoiJJ0WU\nS5wWbTYHgwGHfXh46JpGMJP6EOdtaGgd+BIBclhaw+Hw8PAQY/Z9n0FuXBqxZKiYLN6RTqchQUej\n0fLysogcHBxkMpnp6emHDx/2+/1cLre9vY17QV5dp9NxVau8yUf3rMKqqBYWFhYWpxLWAjsRaD1M\nmguO45CCCBUMNoquiBFxjkMXKxQKYppAOo6zvLw8GAxu3boFT8Ly8vLm5iZSpHk5+PFwflDnUVoX\n6i1pGnSmu6ZPIK4Oc0RXV9OhBUYFXNfN5XJoshzRcLUFhtOCVT+p7WpoC4wGH5RuT7Xmm3QH4Y5C\nwy7BnyIuxMjgaRCHptz4CV+xxSRQBUbM24lwl1zXRfjW9/1Op5PJZNgJCD+H7wHzLR6Ps5GjiDCw\n5JkOD4PBgFWRSNlwVX0pjciXripFoS0wHhNxSotJc6alEoYhfXG8a6Ber0eSBzgGVlaLXNFxHPSM\nFeOlIGMTDBExbGQRyefz1Wo1NLxBmIDFYhGOR3CpRKRYLG5tbXH1wYtIpzqd/Hxuz4nvwQqwE0F7\nDyJPLBKqEVVphnGjyfMEQQBnAop4ol/4aDRqt9usGlUul7nd6wqe8XgcBb8jXn76RijtyOgTU4KN\nDEcAACAASURBVLRQTOV4Obre9C2gBjkkU3C0xxKvyLCZzvWZBKWLKDHGEB2ELttVTD5VTfgMPiGZ\njA82wh8RkzR27MAsTgKdPgjo1+2qgi+i6tiSXsQwkogwdfKNN974xS9+0Wq1SFZiUxK+LCh/k1Gu\niCYkauI9JjdDe6HlaDJZpB4HvHDw6YUmWwsqlHZpMvuNcoLTlaNdWFj4whe+ICI3b94EqyuVSrmu\nu7KyArnV6XQQ6/J9nwR6MQLszJkzOzs7w+EQJVIdxymXy2xRBuekiGxtbfE2QWMW1ervU7/vUwhL\n4jgRIqvl2L8S0C5d1eyRO7iriuRihoGJi8iWmJpVOE/MtGbXcxERqWQyqZn6lF5otccczLGpJiym\nVRiOR7eXSIyKedZhGFLr1MbfZMhN8wlFJQYxSsEjRe072EdSqdRgMGChoEk9QFSJPDEWW0TiUomG\nRNf72ie9LItPBV2fGjYK+egApoFm64migzqOQ9IdZt2NGzfQCYEJWFTRJlNBaLdx1YgI0n7x3mmp\nB0ebcolKRpajDcZE9TTgysItwELCytKR4NDwL3iDkUWh/4u7mJ+ff/HFF0VkfX0d3dQw2kqlgoeJ\nMJvrumiltLCwAKMK4g2cl2w2S3Vzenq6Xq/jt+12mwEzKna+73MZMtL2zMMKsBNB6/7HaoXaAsBS\n4VYeKY3heZ7v+91uF54EVP+EjCmVSuQXNZtNLN1JIjhdgrraG7jLKIqIn7DBSmjC7yPT1YUkdX0L\nhNZwtYgilWPy+dDSwnaGDUX/Votw6IlTU1PMtpEJpxDGwDwe/bQ1xYO7mL4dHmm9C08JR6V84W1G\nqBacKoFJbBcR7J4j0+wbpnyv17t27dqHH35Yq9UCVb4WzNiR6alNIjjApGP9cuF7kOMIh3oW6VqL\n8EXryUb9TJtulM06I1sMLSsywVyTwa2dloGpzf/BBx9sbGyIUV5BsvA878yZM+iQABYG0r/i8fju\n7i4N1kwms7+/n06nwzBk3W2wPblXkB0KKo1ObtOVFZ95WBfiiaBVfjlux58k/mJ10SgR08eBZZ/o\nxAClMJ1OX716tVKpoLtxEARYvXojZgAM/kA9DEhNLAbXFHAS408YqwrxjooMcQ8Ss+Adx5nkN2pP\nHc01UfXC9RmoiYeqmFBECMlE7R9eAiIKDlU4GHnpySvyUdNK48HYPa0L8WmgrRBq91qTc4zXGgIM\nogsSi566S5cuicjh4WGn0+n3+5gejkmOLJVKQRCwRgakGiQZY7RMwBJl92tbjXaPns+hqmTGcfJ2\nMLsiWYy4IgQevtTdk/UydEzWsP6eYS20RoPpqZ+h53nJZBLRZTGM4m63C0UNwntqaqperyNhVFTE\nOpfLtVqtRCLR6XTQ2F2MXAyPVgIS1XrwmYcVYCeC9qcf+8TILRaV9SzGB+Ka2jnjo8W5eXL9Q5Jx\noUlpOjid7ODORgoiEMzQgiLpmDYTGBI+aKGiIwQAIs9yNDymzVBuDdqTg1XN26GHM8I/1jvgsRWD\nXNdNpVKgI9NtEqpkIDmqQ0RuhLf8/CzjzwkseCYqlUpbLXQziMrH0N65samnDk2Oa8FxHNITRGQ4\nHLIqm6hYr04Z5hXlE6qx0GegZwijwjr8zJvS2V1iJqQ2vzqdDujskXg2fB5LS0u7u7tgsYtR4MIw\nRM14sLSwrJrNZi6X8zxvZmZmbW1NRL797W//+Z//ealU2tzcRBMlzPMvf/nLu7u7juMghUaXIEkm\nk5Bhq6urMO/Gx7UuCgw+zas+rbAuxJNikkGgcawscUxol0VFUbBgMsclNOm3WrMT09wkk8lAq2Wd\nJ2ZHwpMgRoLqgIGWPd1ul8VM2eQiNDE5GogYAOkex94+d6tQtVByTQ0hFlzgr0SVT9X7CI2nyANh\n2hzCgSwGwX72+rlFAvWOYogER2v/WDwBODcwc1hwVmsMnAD6vUDlondXzPykaAnDEFn/ujoM/Yr8\nYSaTQbAnoj6GR8O3ERFFOKYYtGYzMimT6cyikvox+XkqlLrmtXS5kKmpqVqtBneFFmwi0mq1mNcF\nfymF4tra2h//8R/jw82bN69cudJqtVAugN7CN95448c//jH62ZLDiZPDDgsUtSriXJGjC+SZh80D\ns7CwsLA4lbAuxBPhMTR6UYqPNi+g3KFsDH5Sr9cDla0SOTm0RfaThOvDNbVzIhpoJKqcTCZRBh6N\nMRmg0iwPXjFSip5KaDKZBD0MfqGIW48qXqQaIfVW/KvtpHCCl4ERRtqm8IEwno+MokKh0G63k8kk\nDqhUKjr6FXn4vCLLZYWmFcAvebUWnwxSBMWwBCdjYDrspBMkYEuRBIvIqzbU2P2yWCxiabimPplj\nWDmOyd/STj/tq+cHhtzohMc00+RDAOPJZDIoLUg2BFmLbA+L41FAZ9LTGIvF0ul0o9GgT5UDw7pj\nEAG35jjO7OzshQsXcMz29nYQBOfOnfvoo48ODw9ZSfXatWv/+Z//CXcI2F68bi6XQwfdfD6PrpjY\nHCZv0HGc56QavfWxfGo4piuEHPXFO47DxcBaNajgrrlVgSqEI4odHoYh6r7jzJipcBWyihKBSjMU\nS8h3jsfjCCSw0g+K4uA8euNg11eOXET6/T52f52C7UywOSj5KIF4HkqvYxGq4qdy1AkJTybTwF3X\nnZ+fx9IdjUYIMOgnppOa8QF7K+S3KHF70pdq8QkIFH+dhSi1yoXDwqP0v2Ai6UJEkMPr+z5Lg4rI\naDSCDEDqkk7MCk3RQn0hnlkzXSM+anq5SQaZvCk6upk+LKoall7XoUn8EDOjFhcXt7a2xuMxllsQ\nBJMylZwR9j8Tkb29vcXFRRxcqVQ8z7tz5w6/PH/+vBgWItyPqIgoahmeOXNGRMihd1QxNpLFyCV5\nHmAtsBPBNelciKzommOiphelGgpkcJHoADKKXLA5iBYnjCSJCgNg/UQsHlK5uL8kEgm0vgwMcR+/\n6vf7hUIBQXLuDhFVOjJ4R9WIY8yDgoq7Aw+mksvdjcEt/Qy1BNJfIt2NNms+n4f9x/AJgPAhFHBy\nBFzT+g9j4FbimIQzy0J8GmhKjqgk9EgCIlcBt+9SqdRut6GEQS8BK6/RaLCuIGnuiI1BVnFlsbGc\nHC2eS4NPF67VDgYd2dLzAWV58b2+Kb02A5MMkEqlsIRFhBkvyWSSGSygwkMk656THDBXEAaPKYoU\naQihbre7vb3NZM3FxUUMe2Vl5a233gpMZ0FGCvGUVldXW60WBRgsXW4RfCbxePzx2uQzAyvATgTt\n0JMJphNAzTRiImhnghwt6csf4gNaR+K32Jq5s3NrwMLgeiCLD9FmLBW6GePxuO/7WGyi+HskVmGL\n1wrmJPGdeZeimkfjbBgwb0ELD/30aKvxYYrK9RFDZsNfM5kMbEc+HxpVdHjyT7q2An6L70ejEXYW\nO72fBuxj4KheU/yX/m1+1mT3yaxzTF3YZ9jKxQgq2hnU3nSdeFFJXVh6kBDHdr1yVYE0TrCImvX/\n2/uyHsmurOp9bow3poycanYPlsGGBty8uE03QwvxD1r8AB54R/wVfgTPiAcekJAaoUaIFqhptdyU\nXR7K5Zoys3KIyIjMiLz3fA9Le33r3khDuMqWyMqzH0pZkTdv3OGcs/dZe+21TbbsPNgE9242m+jG\nZ74tm06nJEyFEM7Pz/E5gy1eavTiS6KvWvsBoMW8VJkTbXd3F0SPGOPnn3/OP+S34BPodLOtc6jy\neFnoXRTFNWkklCDEtawGqWUrkgFWZcOb1PYT6KDoe1HVU9dxzI0LvAtdDr8O/mM0GqG7HQYuoD8i\n5lwFiMmA36WTGYxBq04GdTP4bafTOT09xbTZ29vjeoGsG7+u5si5h6uxs6zqI6NwyUganM/n8/kc\n/aIWiwXBEKb0sAOjfAMibhYJ0L+Cc/yS7zuZmUlkoMOSaVqrwuk0HNzpdIBF15h+hXf2uXPnjpk9\nevRIs62qzGQrTbxMJpdJHKO7QBNvxDEWVqj/Vt23ZdJlAneNai1cfJ7nOA8cbb/fx/BGhEQNUh3P\n/BaMW4xPcHQJiXOmLBaLR48eYcbh8VJDUkELNAdQWia+XUUmzdu4v8p7v0KWHNhaFpwozHGDzxVC\nyfOcGdfaYdR2CpfxgKOXdmkYRRlfuDEmxswMdSeYNghjARowd0Wyb/QmEdD4CF4WivMsFovRaLS1\ntcWFHhMSfgLxJr4XGWPEsChWXSwWyo9QR07jxrGs1g/p5rWGXpo7+Ol0qguNyb6tLEu2r0WIwLo3\nnbcQLnqZl53Mje6H6Shg4Hj1WIgVZCZDHcMykx5DNWNXzEujN/O+d3jLzCLzMIAQep38QcEDE1ln\nk1EaXXrNZByCxKT8C/MICfA1QXjm8EIVJw+ei0LwyhmE9rZZlgEj4Q1qhNfv93GzUF+8lCoF3VST\n1YOwRO0yCHW+9pZo9MmSJUuW7EpayoGtZZRZwn9rwT4tOJlY92pBxLCHwyFahtdoTsHFqDS7hsAK\nwAIRbeyNhsPheDwmVt5waWCg7Tg5esIGFxeAUqKZTadTwI9IkjHRTcSjRvEwR12wyQOCv1gsuO/B\nSUxkfpiQ1xCylKJXqyrpmYBFgFlIewP3Wg/gxtSqGoz6Ckrp+P6y7zyZdbvdnZ0dM3v27Bn2KCEE\nqrQAM8AWB0qGZCdCKSbLMuZfo7dFzbwympMCW5la00hI1JsMSPPXPRgMUMyrlxqkwkRHHbA4kl3N\nE9hIoTFv1+v1MHqRV2t4l5/SO5VgUmv6Fn8ehWOlgzDLMky3PM+1o7p5ppbsfO4agW2wJY0uHSEE\niKZCSkpvXEkoJHFkXsbw2ltyYGsZ8WVaDSSsHUywzsS7YGKzpoRDM7pwjqagQggg1G5sbMQY0XAB\nyweyC4PBYDab4W+3t7cPDw+5lOAMrLPB9aBJrpk1m83ZbEZ6sTKAyY0sRUKXXoeUDXNFcHOtILpA\nOC2uPqXUx9SeFRe7UjS8TXIDJmJCJhNV3T9WEGp0ZStqKcmBvYpR4BxGJJx0WXgddj/RUGM0GrXb\n7ePjYwY6cFSMz1Qk0KowMgbtcDg8Pz8HfEe8Ed8eXdcKf0s0PlRFMeCoag3nCB6SrGtmZ2dn6IE+\nmUzOz893dnYgSZp5b7zhcMi8NWYBAilGbFbFwBWH1HyBOlo8qFqw2Gg0er3efD5HcotgIJBz1ufw\nw+idzJhQwP1eEweWcmBrmaZwFGevgeCchBhSineb6PPqrzJvPsIJiUBsPp8D8v7hD3/4s5/9jEMW\nIoHYUUGg2syOj4+BsCMYBKfj5s2b0+n0+PgYH04mEzgnhHjD4fDs7Izezhw6DyFsbm4+e/aMkowM\nNtkmxqrBpq5xuDXq+ap3DC7aq8dzlQlSIh1dUwrHIJcAz21VgnXhUnu1zKJ9SWyR7CsZ+XUqykWl\nMVCEglcs7O7u7u3tmYMHeC8KP5gzYDFWOZDo2LrdLmYKBz9UcU1mEDdw+q7BfefGiLERRhTq4pVL\nglGNDSUJVqBX4MzoEGtehohbbjab2FDC+wZpv1ejk6yO8LLac9KqqsS8YP3czHZ3d5VCHFw4Squz\nEelm0url+nDoLe3A1jQWdqwGfVbNY1uVqahZX2JlGidivHIyoB2RiQK3tj6BrCKmNCi2jCXJieIu\n5M033zw6Ojo/P8c5i6LAsNZ5gp8ZouZ5nuf59773vf/8z/8kXqeUs3a7DQgx86YtzWYTFT8mqwwf\nDmNenIGfWNXzNarCIqTLR2eU8On1+33oOvJh0tsVLvCon6cd2KsYWRjYwZv379CCQgB029vbs9kM\nAwkbsjzPR6PRixcvcCSjtNILb/ktGPyYYkqgZaEkXyIjyJo/IMEkStM4EgvhMsfjMYiFuEjMrzzP\n2Vgcsynzbpy7u7v40k6nMxqNPvjgA24Z8QPGYQ2r0HGrS6tes0Kdl1ZA93o9YIC3bt16+vQpPlch\nSq3PC66JitXDzCaTSU065DW25MDWsobLAehOAr/KpJEKrNVq5Xk+mUy4mOJzBHGEE2uYCYJNzsle\nr8dy3Rgjptl8PsdInc1m4/FYSU1Y9Iui4Las1+t1u939/f3hcIhMAKYug9/oesEKg+R5/uabb45G\no5/+9KfmSbXM1fTRdczMqC8M50q8gkubPhDdvNZgUh5Dl1MbkFF42ArG8oQ81aqzDCkH9mrG7E5w\nCjg/N9eWLYri1q1bWZZ9+umnLApsNptwKsjC4q/YH0Dni4Z9+Csz6/V6RVEcHR3hSA6AwWAAJ4R+\nIoofWDWaNN/6IHqj8zCn2mYuY023dHFx0ev1UD7YarXQCtl87j969IhtmjmoSFivgRC1/5qEbnR4\nCuDzCZg7YxRNowGNSddKXDn2f+YzArEFxAr4BJIDS/b/Ddha8MpiDg6QfRWjN7M8z7Ev0ejMPOij\n/1PUq3T2rR7faDTG43FRFOTHt9ttkPUBLJA9wfwZ4laemdHre++9VxTFJ598YmZnZ2cM0PAnzJaZ\nN0pG9sJktuP2M2nRlEldQW2WmjskfSw1B1NWNfQYOPPZZlJCZ1WXz6x+kIIzTm99ccmBvYpxocTe\nCKOr2WxC4ROY4XQ6bTab9+7du3//Pkdj5v3YiI+h7gIvC2EQgzOAh+oJoHBB/g5FNIJzPUpnkeB4\nUB447BmfRafLY5Cr+wluCi2az0e98Rjj1tbWkydP0DndzCA3GkIgFsInFoXgzqEIoJvICndpvAal\nk4BPj2Dx8PCQlQnmLdoRlmGzxcUEEbM6rWsy8pMDW8vYGIl+Ap9r4F9zbJxjuuPBMQ1R1uAqX4Md\neAASA8oiKYoCBWeQuzX3DbhIOE4cCec6Go2+973vffDBB/girDgED0vXM8V5+v1+CKHT6SCaOz4+\nVpcD1AWXh+B6uVwOBgNMMIh6wOvU+rXXHBvvRX+u6dFd6hTLau8V3Urq62BAkIb3qxgBbezAMAgX\ni8V7771nZs+ePQNHA8lX80Z0WGTZBFmTTOQBgYiEb4F3XCwWzLCaSJppSMecHP0Z1W00lgLKjUJA\nzMRMqsGIjQfnsppHooBD4WPgqzCGWZGNwY9Zg2tDS0niAfwi+lGN+XSnxe/FVnIwGICdCCQ2xqiC\npaUXWQPhbLfbtRwz9oKcMnieX+NI+D9rqQ4sWbJkyZJdSUs7sLWs3W6Tj2uXwRSZ6MIpOJCtaB5i\nH1N60QZCLRxQC9Dwt51OhzskEDdardZoNCrLkmk2XCFSvkVRQACUXGdC6tR3x6Uia61yAI1Go9/v\nD4fD2WzG3piQvQB00+v1oAA0n8+fPHnC3ii1jFfD9au4QQQtDSRMqkBZtZaAtw+7dGTyGbIyjwFv\nKfr6pZfXXJNMwDdkVEPHA280GhsbG6X3Bw8hAGpGY5GjoyMmU8m2tapMhm5Q+C2cEXx92GGw2KvV\nalFEOHhBoW7BdcOtwp6AOlB8FqUdJWs/lHOPwUxKJDZb0+l0MBhg4hRFwWwTcT9FCLgOZFJJiU8a\nrlOstHgi82VZ7uzs4AA8RnDoa3hM5rqLmReZAXtHelufs1Wn5GtsyYGtZWgRZA6S2ApZgGuo/vZS\nYkKUpDSMKZwaIIYzd7vdGhoAZTb6Tp6ERA8eCYhvPB5DDgcf0svS9yhLAj/cvHkTdTDmitfmXgHH\ntFqtra2tyWSCuuxa5imEgN5F+C5WAulzq2W8eC+rZeB6ZsVq+IR55kzaOOnxyV7OvvWtbx0eHuJn\n8C8Gg0GMEXJ8KK2FrmZZlpubm8o5BBzHU8UYUd7EuI1Tia+PfApkv1a7CEVpf6XDSedXo9Fgd7rl\ncslvUcoiQUV1mcFpEchsabTKe9T8GWMm7XgQRCtOPzRhReJDcjFK77Ggclmqnc/jzdPefLZwtGz9\nrN94TUZ+cmBrGbYm5vpvNMq6syDGqlqitQnG4Ut6BSJEjtoour047Wg0olYh41BymvGHKuyt1zYa\njfb29nZ3dyG9QbUOzhyU8pDrj/8ihYA7JWEXs5ruod1uUzOe+6HaNqjWzYTeKHrhdk3RrrYB1dSX\nPvNa/M7wthbaZyt6Ism+qg0GA4w0M8OmPMuyfr+PscFCkYuLC0AUOBJDgjLqeMXgxJrZ8fFxFPq4\nbsvYqIhbJaTKMCDNDM1HTNrR1S4YlzEajczs9PQU2h8culpuxe/lPml3dxcUR2S86IcaLiEdvfga\nv1XqEL3ppQ6MabAYI5N/+JDFADwJZhxUTjSLjJMzxCydvdztdk9OTrTHk0nQ+dpbKmReyxqNBsdT\nIV2Myb/AaGYQx6Vc40TOdvxcE962KnEI1TZsF4SD33777YODg8ePH6vbM2dhkQOCiQpEsdFogI4M\nSMR8MqCgB4lruk/EdzFGjn7AJgiH0XiQ965NvDRNTUfFK9TNFq+ZHLNQZcDXhI9r/iyIuI4JL4a/\nre1fX+GdJ7N79+6hHOrf//3fWS7Cjj+kTnCHgVF68+bNZ8+eYbyxP3iMcTqdBm//duPGDdBc6ec0\nTMHE4S6EYRBA71hFm02YPjHGwWCAHQmotr1eDw4pkzYrxO7o1WKMR0dHjUYDI5+EC/hOyEEFV3sy\nZ0Kxn4tiJ0QFeTv6OX0SSxQQE2By8XhWmGlYgECNO0h8Pp/P44o03au99qtkaQe2lnHa1NZTXUw5\npEK1zCUK/elSZIz/xbaGMSYc2Pb2Nsf6yckJwt7bt29nWfbgwQPsyZB1wF6KjqEsy/F4jDxZEEIX\nVGqI0vAymEjgLeP6QTJElL1cLlkNjZJqsA3ZXtLERSmgGrxSe5VzXNtgRe/+F0Sbw6p+Lkgd2CoR\nUf9NDS1fxbrdLjM3GB4ISjhctSOX8k7NO2szGAJCyKGCknkze/HiBcbheDx+/vw5HRK3/sqbh5Vl\nyeSrvn14L/MYCLIaKItEcotIA8mQOg11/lJQH/eIAk31su12G2pq8/k8u6y5kq1EbLWSAJbe87eq\nZGiOdnDPxyQfqhRw/ehqBJ2RUG1UVMPSX1dLO7CvYAoO1DyQMuPtMh9mZuhIu+rD+ANcApF6M/vB\nD37wi1/8gmVbg8Hg/Py83W7fvn37448/3t3dhTvRuhAQgvHzZDIBfG9mN27cQFoLp8LMRAuxzOV5\nzOtJsyxDQ7/9/X1zuGN7e3tvb0+3UKFaZ2pmrVYL9OWaWzKpfuUnZVVKJ5PSTiIzq4iiSSiwCify\n5+zLe3kkW9P4asbj8cHBAfYldFSlK8goaGyCM5eujWuOYZjvrpid6nQ64/F4f3+fOVcY4hj6LXwF\nwxGSRPjV1EjMsgwkprfffvvzzz/H+s4SaVvRLaxFogQzcRcY5AjXNCCDY+YFkNSuI1a/CJskFErz\nJJRMbEgDTD4xprr5QMy7LJHlD2EaKr0xUE7tVJIlS5YsWbL/05YgxLWMHI3SGyswcEMMFYVBEIUj\nx1AOhqxyWS2wxcEoQz4/P0cgtrm5iZQvaGBEKW/evNloNB4/fnznzp2iKMD7ms/nZ2dn0Nehvi3g\nlIODA+SEoUlqAn5iM8ctFMjQwAwPDw/BWgQpqyzL4XBoZqs9jjW/xSDRqgntWsYCXzccDpHPj5cp\ni69+hab9a79aNYKZCUJ8FYPcrXlWBnsvVZLNXCD01q1bBABNmH48EkXuWr+sSECe50dHR0pqV9C+\nlBJdzbNyL6hIAFknKMnH1GBhvvk+idsjilbrXGY+L1T7XqpREdGcRUV2Rg2kUZSV34j0dnRCU1jR\nh4wx6uoBuiOOx5M0s9FoBPl8yojwi2o6W6+rJQhxXSOiFVfo8ubkgloSCKOfw5SprEuX4O9///sx\nRurxQCr0zp07McZ79+4h4/27v/u7f/VXf/XXf/3Xh4eHk8nk8PDwzTffNK/KWiwWYIjhnHt7e6Bp\nDAaD3/qt3/roo48wh09PTzEx4JXH4zFKu9C35de//jXyT0wY4PImk0mt/0Xw3i4qnxqrtT6Kl5JG\njIPRVJqIiq14Iz2DHlDDDBVjrEGXqzBmsq9qHLrL5XKxWIAoSziOwRCql5TcBI0+shPZ4wMzAsMG\nB5dlCbWaXq/HDGsUzmoQ5o4Gi6UXU7LPiJkxULu4uMAiHkKAtr0WXOJGauoY8C7RVTDMM1WcubA8\nz/v9PtB1PS1ujYsDUUp2BYIXx/FbW1vHx8cgaxTV9iucKbWgDbxfE84L6CrggPB7o1fIXAdLDmxd\n476KevBWVTJsXKY/janF2QvfwOWeZwDC/ujRI6LbBwcHIYSTk5N+v89ak7feeutv//Zvnz17NhwO\n9/f30QTdvMAZpcqZCNsw9/vkyZP9/X2kzTEby7Lsdrsxxtls9qtf/crMtre3sY4sl0vutDC7ahkC\nc++lHJCa1cpQotM3NGXyZWRoEy0uPi5+e1ZtX6kpdLwF84ZS14RJ/M0ZsylEIJgiMkk7wRjfYMk+\nOzvL8/z8/BxvAT1NQggoJoMAlX5XlmVnZ2cY/NHrvWqSm1Ga73Dvbr4BYp8UHEyZNOxvZrMZKmEm\nkwmFo1h9RT9dG3VIni0WC+0lhP/WHpR5albHp3kIWErlGa726OgIuyhcMF0py6s1euP1gANSliV7\n+zWbTfQFZK20XbZffF0tQYhrGYdUdpmUn0ZPJiUaJEdwfJujiLrHD86bgNIBhyZUd8fj8V/+5V/+\n4z/+o5m99dZbH3300ePHj5vN5ne/+91PPvkEniaEcHx8zHPye7GssA0uw8xMdENarRZmFP48y7L5\nfM6ZQNG5cBldgg+EBBDKjduKjKF5TSjv2qTnJ520bqqKagtEW6nQjCI0bMLgAlbDWoVkL2d5nje8\nRwFaH+AdkSPAcYIojRsFbFzgwMj4APtguVz2+31q2/MADQGxoEPhFzghqT26q+aij+lDqiFcqVJY\n4bEaLnUP4B07LdWb1iorkJhGo9Hnn3/OYcwbB++XvCTyjxjtxSo/VqFIfgu8EZ5qrZAA50Foy0/0\naesEZKtrveVrIuabdmBrGUdwjRZ1qfvX0g2MS2VtYWhyYSUIg5HNrAMK7O/evXvnzp1HvPsaawAA\nIABJREFUjx5B//uDDz6A0MD+/v6LFy8g8mRmb7zxxu7u7ocffogRz50Hsl+o6ORVIdTVwzixUU+G\noU93ooAGyZaZdzVT9IOCBXQqxHD0ASoABZdGFWCTKDhK+QGOxzkzacyWiZ4CLo+zN0Vmr25UfMBm\nKM/zEMLt27fRH9zMYoxbW1uHh4eFNOY2M+xXsDOgjAtfHOBxdTN4s3xr0eVogXZwY83BWcPwcSqt\nTuNvOSSAmZvT67XHnq1M5G63+6Mf/cjM/u3f/k23ntErt1BoXJblxsYG+5js7u7O5/PpdEqVKZ6Q\nV05ZrCzLUKBWCyhjjJiJZVlubW1hGuJJ8oSrceFoNELr6tV7eb0t7cDWMqJYHMSIjFSvTD1EJppG\noUqp5zm14ip4jST3EO12e2NjA7oYbE00mUxevHjx6NGj73znO9Pp9Pnz5zj4zp07qFZGyQvBnOFw\nOJlMut0upoquL+Px+MWLFySVmFmr1ULUeXJyQgwdDaCxOSNYVHs4GlQiTuSGTKttiD4pg7nX681m\nM8AmdGAmRHnmDGrPkOdseFdcXQV45PVJBnwTxiYg2NbgYd67dw+pl+l0monKO4cuO4BkVflQHTmc\nLEGoT8Qq6DAarluGc6KaXpHnpjd9hWIhhgpGHaoqUSOlDVdBXCqKAh9i3rF+mReDEmY05QL4X3s4\nuGD8OYAQUFHMU4Z6vxy0zWaT7I/MmyyXLjWJg7FPZTWkeQDBzZy5z8Y6A4eKimacAZf90u/9Clna\nga1r9F6YWixq4eCjQoGZAXzHIN7a2jo4ONDzcME1sxjjxsbG0dER/pyKhdhqvP/+++fn51tbW3/3\nd39nZkAtMtcpGA6HmPCQCZjNZnfv3n38+DHOkHm1I5MNZBti1vV6PSQ5uAtEJ/UgchvMYGsiylwR\n2Mw6nQ4XCDLNUHnD5hfm7gcbQQbdWZZp0l6fs3nMXtOjIiFNUcqmd1kzUXe1axaKfhNWSvdFdsL7\n4osvuHmi2IrWPC0Wi+FwyBgOB6Nya3UPQYdh4j8Ai5VlORgMptNpdORZ25kq4MY0lVU9JVuWY5Kq\nkK55V0xk3dCuTCsaMUrRlgxzhBIBypYsyxJyxmZ2enqqi4MOfqwGcFe6dAQvpKvlhpmK4/XUPD37\nyMB7mSihmPvj62CJppUsWbJkya6kJQhxLdPQrBYcRZGYInSGz0ELVGAkE3UcnoHbOMhY4CSdTuf3\nfu/3er3e7u5up9P59NNPzeyjjz4qy7Lf7z99+vTb3/52o9F49OgRzoDGeux/YcIlQSVZdJ7YxsYG\nMRZcM3La5O+V3nndPHgEnHJ2doYNkzljGGo6DGypTYBglohlv9+/uLgAdYV3jfCTMSMPxkVqOwnl\nB68CtoAQkdWoEcBMVCGSvYR1u13U/2HL/uMf//jv//7vY4wYBni2GAPmaJ45LQhYgmatiF7YigAm\nrPZywbzQw7SDiUoxYbvWcKlAnIQ/L5dLEG55hSpqqiOQGCM3WwAVAMsrx0+/iwfj8oJXkvHaolAE\nVcKUC4WZsWUS6JE1TRPlhugLQvYhy7KdnZ0QAqBdYInXZOQnCPGrmQKJ5umuGq4Fy7zwUFdVLfLF\nJxhqFHxS7qKZ/eQnP/nnf/7nX//619vb22a2XC6//e1vb21tPX369P79++PxGOB7WZbb29v7+/sY\nu1tbW/guuJabN2/O53NQOcysKIrbt2+bGYBNTeOZtD7BwcAYkV0IVTHs4HUqxE6D9JggymHOBWiI\nXJtJ6SgfJhepmkwcHxQPW0Wi4L1q4nIv94qT0fI8h+va2Ni4uLg4Ojr68Y9/bGbgxOJpU1GMg7zV\narGtMAFqvr5YZRJGz2Iizqu9dHBxo6TZlNBPCXaSpAhQwzqdTrPZBD5Pn2oeJJHphw+JTKreI9JR\n9HPRaZZsqmcezJmnuFAcqdcAOnEh3cis2gnIzHCF5hNQ5bjMVwydPvwtksr7+/sxRsjwXytLk3wt\nI/aN6YfYEPkebnSiF6/oJMS0VI8FC2ImTbCghYEp+gd/8AcfffRRjPG73/0u/+rBgweQBkfCjAHp\n3t4eL/Xk5OTk5ARcptPT06OjI8x8KJBOp9PlcnlwcPBnf/Zn1BVtSu+l2tJ/cnLS6XSwW0Imny3V\nGdXixvFYghPfdUVDJA76mT6E2r8w3UW13KwasfJRk4iP58Z70U1zsle0wWDw/Pnzw8PDf/3Xf/35\nz3+OgYQVHz9rqS/ocEim6u6ZZ8NM4fKNY0BbQABHOivStzhP6dIeSkHEt0fnyi8WC4RTmHdUvQGb\ncXt7e3t7G/6VjqFGT+dF4nOEd1mW5XmeZVm32wW5n3602+1yZplZs9nEkebBaHSerfrvSznMZ2dn\nWhvHsjMTx1lbRhrejaXVaoHAHEJQ9/naW4IQ1zKM106ng8IRJdMjCMrznLOC5CJEiKVXg2Ldb1T1\nQ80shACIQxO5mBjvvvvuu++++/Dhw5/97Gf4fGdn59NPP+Ve5NatW2b2+eefs/SYQ3wwGGA3A814\nM0Mh8/HxMdLjrVZrZ2dnPp/jc0h7IKyOUpdKvQzU7jAUxeTBPdbS2mTtR2F8MLlN8R6NzenLa1uo\n4GWzbIqhQWhwWXRzjBSXSsrcNQFSviG7ceMG2qm8++675+fnDx8+/OyzzzDUzWw6nWqhceEaZpwF\neMWKfUXR1+AICSvF7AhBQJHVRgcmO7msWpHJ9kMmo05xZuLV3MDBFTGGM/dnxAPxt2BJDIfDg4MD\nYhg4ObZr1PldLpfo3mIOwOAMKO5kqRafAG/EfBEwoUdhPLOmBcBmKTLWJjUAAEgYODZcPOG1t+TA\n1jJE9LrH53MLIWxubsJ/4FckdqvMmkl6SYcgYQFsUyjs9ODBAwgHbG5u3rlzB7Hh/fv3e73e3/zN\n3/zkJz9Bs0HQdouiOD4+DqKlbWZwUegzpJuqVquFIjOIOfX7/R/+8Idmtre39+DBA9SWafSHXirD\n4RAy8xoDErrBf3u9HtQQeFMs30FcjO4PnFqEnujD8DmaUIeVIrAoJV/4kHk7ULAI5igf+lXf/TW2\nPM+hVdbv9x8/foyHT7HBRqPx9OlT4HKF96ky0bCP0oVL+fQmc4GmYDL9BN0JD4Z2YhR9KXM8A25P\nKyxJ8zPfn+FgQIvNZhMtyswxc+zYgpTYB9ckxL0wqkPohpgMsvHmUvG8Iw7F8XgMhwfBJ83Scc5G\nr0Vpt9tgKuLRUSuLUEdWVaJpuAiAgvO1OO81tpQDW9eASNSWRQy+4+NjqJQ2vauCOS7X6XQgY2gu\nEqNBqJmFEDY2NqbTKXoUxRgfPnxozssYj8ez2ewP//APf/rTn5rZX/zFXwD6G4/HT58+pWeixlqo\nKpwOh8PpdIrTgjRvZicnJ5jJQGlOT0//67/+C1eIVmHYx/BecGtcNdgFw6RDNFacs7Ozzc1NZJLN\nydDmpaMhBOQz6IQIrtZAS/Yeq70ChPkAiJiHR/wbvAWGzu2v47VfdwNLCErT0AB88eIF3vtoNEIX\nOnDQ+WYRkYSqnCaXXb5rzgLFkDFggvdrhWSiRiEX3unUVl4xiy5YiGaywyOzPHjpFSYLPizLEkOL\ntR+6QcTMBYTO7yrLEujF6elpDRLUdG+j0YCbzKQcmyexqkKbeUYZey+NkmO1qx/+ZckKQwce/PKv\n/ErZNbrVV7GGaLes/hZDk6SJZrOJzQpW+VUhHDKmzIECTJvvfOc7R0dHWjKJaLcsS/AA79279/Tp\n06IovvjiC0w5BpW69yJEicW9VoNJP4q1gEEuRbIpUmBm7XZ7c3MTNEUlUMEdAlRkxA3EcvUR8U5r\nK06U2upLc2D6J7oaEmvljMU6Eqo9MK2aTkv2VY2FuggXut0uhWjNbDabnZ2doZwZ21+CvcwTs7SR\nBelUpOWbRYRUi2N0I6Xw8uqazj8hmEmRAT0hwTdAgsGVZXQ3r8W/6mwwYQEMmNlwOJzNZr1eD5Er\nhr2tqDcxAsvcwAfBmNRJoWtLU1q58saRCMCwL0QQJ7h8yeo4vyYjP5E4kiVLlizZlbQEIa5lhMgv\n/S2DHRwAyI7bL5MUcZZl2JxpkgZQeFmWDx8+jE6Cb7fbv//7v//f//3f0IL64z/+Y3zFxx9/TOk5\nIHImqSDdbLXb7ZOTE+zhFLRkHEekhcFm4S1l9Y6g7dZ0HX2cBJUx6LHCdLp+O5L/SA1OJhPmDDQw\nBNCvKRMTCgDDbcoFMQGgFTlmhmy8Sbox4Ydfi5GbCvoAn+rTp0/NrNVqnZ6e8n1RJAkjKs/z5XI5\nHA4xAieTSfRyPZyE4x87e7xuJokb3ppExwZzpdzol66CFkLY3d3d39/HpZqjJgAhtEYQyebo3ELU\ntGVZxtmk8LUinLgpE13djY2N1TZDRMj5uDBHQM5Uzr2ePwqrheOc203AJFiCdGtIXBF3xOqx6zP+\nE4S4ltUoT6tWS2uZjK3aZDOfh7o6Y4AinYBxvL293e128zx//PhxjPHu3btm9kd/9Ef/8i//cnh4\neHFxATIhE8JES6hfl2UZ0nKg8DL3jsrT0uWDKdjKKycPylx3CgTLPM9HoxHbIGVePc2sG2BJfhGN\nfTdQpMmHYJIv0ZQJcRXNkAFoqqFGhEC5KGgaIKzUzST7Stbv95V/hOHUaDQgznlwcACRWU0ama/d\nrVZra2vr7OxMcTmELPRD5nMBbqaWReNsUuTQ3K0i8aPxEEaLhoYwzhHyIADvo9VLcO1sM6OwGbG7\n4P16yrIcjUacrWjFMhgMsixDfKZPwAQe7/f7i8ViNBohF87pBg02nKeWnuD4J+Ee6QCkBjPRV8tE\nPio6awwO7Jrwb9MObC1T/3TpJ6vujXNAU0cMsvR47h40DXBycoJwFYmHzz77DOd88uTJcrnc2dnZ\n3t4+ODjAPg9aiFbt7Fd420DGzlh3ptMpZxG2ViQTUiGUiTHMhNFoNJ1OUc7M5QACB6U0DIvOxcI8\n73Q6k8mEt4bkh1YgMCdhUoLDID04C5FutaaLSFNqsrq3FJy9orXbbYQjiFRCCKCkPnv2zDxByyHN\nMYNltyzLvb29WmyEX9UqiM0MYwyNGc3s/PychF7dUnNgg+bAuqjz83N2wmPUghirdON3YStTFAX2\niPjV+fk5qImqpmFS3xmkshBZYQAtw+HwxYsX3PNRdJjfCB9P5pRJ3Rsyf2hCyweil8otafASlFpm\na3U7a5cxPF9jSzuwtYzzUPdY+t+ab7t0GSUEp3sv/a1VFZXI4uOqjdnVaDSGwyE4CyxaRP0Ti8/0\nIrG+c3aNx+P9/f3MS1LI0MX8hG8rpYl7r9dDAjnGSLwxz3OofR8fH6NRoZmhoBXMtEL62IIYEkU6\nwWSacZuFy8Ba2fCGF4ygEWCCEcN1zYSrXQsLopevvsTrTgZDEx/zwoYsy9B5md6IizsOq8k4rU4W\n7rFCle+OHRU4dfhQy7+Uf0Hk4MaNGya6FQAAY1Xmo/SKY9BTWS+ol1e6sO/GxsbJyQmJshxgGGyd\nTufWrVsIyDqdDnCI8XgMXTdcduZaMCEE+EicAbMPl8oKRRNPz8NMyB0ajQWxGg+zBjaac8oIdbze\nlnZga5niHrWFkqZuDCFYIc1VTTYTNYuCszebzd/4jd8ws48//hjVi1ZtKbK5uXlwcDCZTIqi2Nra\nwjTe29uDk8C01CUDiD9GOcAc9FwHh5C9mkwaWuKv8CHaqSAADKL3CFRwMBjcuHGj1Wp9/PHHZgbt\ncH51rHZvUpzQpNggOK2ZGt4azuu9FN7fUmesZssyKX/JpJI02csZlTmRv+Hzr8VnURiwJt25Ctea\n4ocKG6qGC8bAYrHY2NjA16lcYaPa5g0Dg83K8aU6KlBACXY7UOWaM6CABcMjYPKLxWJ3d/fo6Kgm\nb0hBfW7X8EVom655KeDzCkKaQ+uINYnH6AYxik6jSaRrVWZ8Ji0ribcri5IbweuDnCcHtpZhChVf\n0iZR54ZVlW+ikIAZnRHaNq861OGOOjAzizGi1hiqHGaGCQYtKKTQ4ZPef//9f/qnf9rY2ADOzrjV\nqkUnVN0FdM6ORDgG05JpKjL4WQZgnlfDz8iNmdmLFy94AIC+TqfT6XSm0ynZKwwbO51OrVMRPuQ2\nThfHTFp8Zd7nBeUK7FvNYJPfwtNqMJ7sJWw8HkMJmoKH+Jx+CKswXjpZTlS4qLEbcAAW31VFMRN8\njGerreNWrYiaTCbwVdwR6tdFL0BmVb4u6wz1FAJF1WaQ+jDKeUAKEh8qNPL06dNGo4HLQO8VzG7d\nZuEH3jtvtvSGt5nUsVAE2WQMM25gLKtPgydkdu2aJMAs0eiTJUuWLNkVtZQDW8tAEQaewIgMv8Ke\nQLMySiiohUjmWEfmZfnmiStzOQD9c/4tojPkexnncsOB1BQ3WLywdZAE4iFbW1unp6dkmjGlTG5u\nWa2Jptx4LZrGDgw6PfwcKgaQEubTAMfEzAaDAbILtkKgp7gGH1cUUZ+LiwtI8zFDzsxiKeWiyV7O\nah0gibbhQ4zhGGO/359Op0yykoODgdHwrspAFDiElA7e8F5CNfYBc7rciGxvb4NCAmixNjZMNiJ2\nWe28GpVrzLFKzKN+v398fLyK4DHfzLwaR5fuwMgNxtMDWZeAKvd8NbxBUcHSOw2FanE3cXJC8Zmw\n/6EGyWu+JtnfBCGuZQqGaA4sOOWpNvG+LE/GI5VqAZgOaTNN5yARpaTY4+NjUCdAYdLT1uARMxuN\nRiDcA0i5VJyJF4NrhqC1OYXEzIDUDQaD4+NjXSZ4C5pSxlMC+TBUS76YrtjZ2YGvwt+ar3Scq4W0\ndFIAlqBKcOIZvgsK95zSGkb8D4tXsnWs3++DWY7FvfRiPvwW6Fyj0WAplT58Djb8wASnhnE8GGFK\nUZXJZs6V/Av4M6bTtAc6TMkaPDOjMTUOp8IbshCgw5hfBbRpzJDh+EajQW+B1ncm5ZUmrlrPGb3M\nA0MXtH6Thkqa1dNomEli84waCyUBPza8zfR1sLQDW8s6nU7mXdWj68/a/1gwSz+kHyqdgUPTRKrK\nqvA3hyxXZ5Qwq5Ag/4ohWI0ogeiPioVqdELmEjtIQZvHj2VZ/vmf//k//MM/IBeSST0cI3HOFjJ9\nsR/iFrDVauGLUENN1n4IAfU3uFT1r2QhsrCM0naIx8lXxmlPT09rYTjX3C97Qcn+V4MEornjIZOe\nKyyPDMIjbTabs9mstvflq6wJitaoOjRyTTudDt8jKXzcxpHUgKYqSFnVyJAaEun1NJtNukD4G7oH\nDkXmnLDhq52kFhF2Oh10HUMWCmMbcwoN0tQBMwCt+VdUmwRpZ8HDMOu5UcPnSgDhy+Kkfu0tObC1\nTPEKq9ZnrMIUUfqxxssqk9TxaByqYWl06iAWfe5OavUievIgXHl+NWTfzIs0TdwbNmfn5+fQu4Pr\nIjRHwbrxeIzJdnp6iojbXMy3tguEyym9oTNV75reJAwCx/grHHbz5k2AioxhlaVtElcyCKVXNrPx\neGxmrDbjrCaxLTmwVzHgflbFbzl6KZsLtIDFhXAz0Xtd4g85XPFbJdQpqqbLUfRel/oJpxURCx7Z\nkH7ouDy4kOgMRp4Hl9dwzVxzCq65aL1uBPFbaG3TY9UgGXyOSOvGjRtPnjwpyxLfnuf5xcUFK9vM\ni6ZJZWJFtvI7+O0c7UBQWKbGrzZfOvTh4ITrvuarbAlCXMu4necCXRttmNWrG6ysKuERpLCp9ufR\naeJ6ZHAScO3MLLFaLZRR/6TzitykXq83nU5Ho9HR0REmFdwMMXdFMmOM4DRjf8bLxiTktGRITnUo\ndCODBjEFOxAYcuXKsuzo6AjaWuq8+/0+2i+VZclpr4ASg/1Go0FumFVzIZfG3cm+kml4lGXZcDg8\nOjrihxwqCFYI+sFFFa4ZjYOxpdaiDj05l2+Fi3VsMyzDyGdnLM0bmSeGqRqMPyHKHZy/juMBNiL6\nWS6X/X4f9xJFAoPghxacwNBgKMsy5P/MuZpPnjzBpgpx4Ww2Q+NZXgMLwjCtglfmaP0+b43QC0nC\n+BMEfLwp3A7F4a4P/zY5sLWMs6hw3cJasbBVCeu20jKclmVZr9dDGbL5dNJ5qxssnk1RF/OposMU\ncwaoSHQGhCaoicURMMQBPCdCPISfStZAZE0EFb+az+dolB4l103vZb6jYgI/z/MQAqJOfVA1/2dm\nGxsbi8UC3WkV88TPWF94hr29PS4E+pDh55IDe3VjuFaWJYk2NG59EGOxaGyVJa/BH/929bv4lsuy\nRMSjpRTMadHbcahTI0a9XeHC7aiXwskRh2VZhmFGQK/b7bZaLXY2pxPFyI/SbxaXAb8FuI/ELoiD\n4GYPDg7MBW4UO9Ezx2p1o1UXARM3jCo0qk3WHq9VlQGuD652jW71VQwIuwY7hFYUyqvxCDJRKjNH\nsTHE2WK8NnBpHIW6nwtSZ0bnhOPZPDNIsTA2QCcnJ5wtZnXU8fz8nH6C6WguGQ1pEg0XyNUBXaBM\nsDv12SEE0kaCl77pFtNkaUPMi2fVbrd7vV6M8ejoCPinRqZBOk2YpNngw2rVoKX3pE/2ckZSD9dZ\nGLYjUQrerZolulhpzMb/Nr05ZOH9HvG5dnNGnMR0F8+GaI+UXZNZA/8UqnI2vDB4Mh0e4O9xbHP7\nCCYkYVJcLTvk8UsVxCNKD3eIWaBZNKvObr1m860YZxzdNsMCc7SWIYJqivL69fxRGhW93nZddprJ\nkiVLluw1s7QDW8sQ3HFvUQOsSxHdwPG13DUM2AUpVbqdIg7O0M+qZBB+wvMj+OVGhDVhIYTRaGRm\nh4eHQBSJmSAYBGmi0+ns7Owsl0s0q7Qqf5cSNUrJ3djYKIpCc04kHNYUDrmpqsGqene4BkidRm9C\naNJvU3d+fFwMosnGBm5DZiNuttfroXHwNVGE+4YM/RBM5CF08JtviDFyVCSCgvEmbFW+R5yHmSrS\nhWq4WVltkWNO1gWpdbFYEDbkRp+q9ibllRjPyq03p0ryu6hcxWqtWj7VZFJHIZ4otmFCM+FlMO13\nKWSK4zF/cZtows4ntrqk6H8Jnje8GhW/xf7yf32/r4GlHNhaBikzjG+WEOJXmgTijFXSRxTWBiaG\nDmVd8XXOMOl1qV+0Ko4xGAwODg4yb1mCsYsZ2+12Y4w/+tGPfvGLX7BbBJINu7u7h4eHykbBxWxu\nbs5mM7Qlo9J2CGFvb6/dbt+6dcvMZrMZPB/AfRRympDdo5QbY62hrBTjAJCYyVUjDqnsYS5epVR3\n8iGA65V5kzACjKjuvCZM4m/OiqJgUVTpBcJFUUCx8OjoiKMUiSJED/AxUEHjqUAawtRAzIHPtfMW\nV/nSu4cg2uNcg7Nk2ESkjkhyLSvMoavrO0YRIEFzdgYT24wCcRK4T8ap6sNwYSpuoNQqRlpQBohu\nPAOUqxBgIaGAkzA7Tq6TrVCUOYlwj0GkSmsP4bW3tANbyyinhoGuOuvKAFS4XxNOjATLstzY2EB2\nF6vAycmJvgLGoZqPVQdGpwhMvLZNybKs3W6TmkV3G0LI8xyODeSLLMvef//9n//853Rg29vbL168\nGI1GTIPhcywrw+HQzNBJ3ZyjAU1hsg3NpyLjUEL2p6enUOIwCcmhd0cG9oU3/4ySbuSTiV7lo5MZ\nKx1WTE2wUfs46fm+ijG7A+M4J1nDVjJh5qFVr9cLIbB4o9lsjkYjjHxslZRHp5qZJhwcxitaO6Fx\nnu4FWevC3bk5zaSs6rVjuSeHHsZtVqMqOMKU2KVLJT6HP67xG5nD43SAkYiBu2usyPabeK/gJSWQ\ntyfhU1mRml/kVV0T7CE5sLUMFZ0N14PRSslY7Shh1YQtVn+KyhDTI0pQVPs31v5cIUq9Hka+PIzL\nCrPfMUa2KjYzMJt5Va1W686dO1988YVKAOR5fnx8nOe5xs7tdhsuCodh49Vutzc3N9GWRZcMXMnF\nSk9YFtnw0XHesgSH9xKlb4s+DUK15ssTBRRqeiioGchEejjZSxgdGN5R8PY9eNp4tlHYufq37LbF\nLsZ4fYifTNgNNezBJAQsvXpauR70JZwy8Ijc6OsIMbNut/vGG2+UZYmeCSiZZz0GT6Va2BCVtxU+\nCGfopYAeixrVptMpoREzY8dafKg3zpOvutXM5aM4L9TDRRE9MPfZ1yR0Sw5sLRsMBsTHrRorEQDU\nGI0HKBpmHloOBgPOgdPT01u3bu3t7a1i1rWMkfnQVNY4PRwGcbfbZdMH82CZchUY05jkEPzGhglX\nCLAxhICkFylSZjafzzc2NtDBFjE1KoizLNOUGFQQofyG2hd8jjSAOrnVJ8wcQPBaV3o49lRsuFaC\nPurS6+QyEfUHAAWk6H95tcm+3LrdLmKv8/NzgsA0bnPDZf2RsTO2Kn00xghlDUpSwS8iNLzwniPc\nx+OFQjDMvFYkczVRUnlZHaWrPzZYdFQmSjGX7nX4CaFvXt6X7b34A54MBirDMjTn5PUw0qp5a05n\nQDIHBwdaNq5z2URin/vFGrBpHihfk9AtObC1LM9zKJZi8654tDmVoBaX8cHWWtuVZdntdkejET7E\nzJzP57VYj0IDq4iiSd20zqLa95qgPSEEpqlYRzmdToMUk2Hc4xtxv/je2Wx2+/btTz75BDR6XDBS\nZScnJ0BEASFivrGAunYlJvpYvOboOQ+9/VDNFGJdAOm5tvoE0dzTh4B7KaUOOtlL2HA4JNAXpYMX\nfovRsipIGFxujUpU5vt4rOBonfOtb33LzB4/fozXigp3yoYVLhKoBRIaLGL861fT1/Ly2AHVRPDs\n7OyMWDQHXg32oKsGZFe6JKkiIrrPw8/QKeV5gPLRGWei7shjvmyO18AYdaKobMG+9vT0VBO9HP/d\nbpfg7ett1yjdlyxZsmTJXidLO7C1jALYrL3H58z31DZDGlVpAT8jNfa6HY1GaM84mUxqmS2rJqJt\nBfiuXWSj2l0CMS9+lec52U0mVQHAG4EHnp6e3r59e29vT1UzSEwHwjMcDvEVJyeHEk+LAAAR9klE\nQVQnkJLb2dn57LPPqIdtnkAu3Uz0tBT01zyiJjn4nJnD17BXN758pJn3D9QbhCwI26wkewm7ffs2\nIGI8TMj6MYsDKhCzX3zLwAMxirQBsZl1u12oQnM/h+waErelSMBwO6Izq9v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"output_type": "display_data"}], "prompt_number": 46, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo6()"]}, {"collapsed": false, "outputs": [], "prompt_number": 47, "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"}]}}}