{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Logistic Classification\n", "=======================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n", "$\\newcommand{\\eqdef}{\\equiv}$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This tour details the logistic classification method (for 2 classes and\n", "multi-classes).\n", "\n", "\n", "_Warning:_ Logisitic classification is actually called [\"logistic\n", "regression\"](https://en.wikipedia.org/wiki/Logistic_regression) in the literature, but it is in fact a classification method.\n", "\n", "\n", "We recommend that after doing this Numerical Tours, you apply it to your\n", "own data, for instance using a dataset from [LibSVM](https://www.csie.ntu.edu.tw/~cjlin/libsvmtools/datasets/).\n", "\n", "_Disclaimer:_ these machine learning tours are intended to be\n", "overly-simplistic implementations and applications of baseline machine learning methods.\n", "For more advanced uses and implementations, we recommend\n", "to use a state-of-the-art library, the most well known being\n", "[Scikit-Learn](http://scikit-learn.org/)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n", "library(plot3D)\n", "library(pracma)\n", "library(grid)\n", "\n", "# Importing the libraries\n", "for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n", "}\n", "for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We define a few helpers." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Xm = function(X){as.matrix(X - rep(colMeans(X), rep.int(nrow(X), ncol(X))))}\n", "Cov = function(X){data.matrix(1. / (n - 1) * t(Xm(X)) %*% Xm(X))}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Two Classes Logistic Classification\n", "-----------------------------------\n", "Logistic classification is, with [support vector machine (SVM)](https://en.wikipedia.org/wiki/Support_vector_machine), the baseline\n", "method to perform classification. Its main advantage over SVM is that is\n", "is a smooth minimization problem, and that it also output class\n", "probabity, offering a probabilistic interpretation of the classification.\n", "\n", "\n", "To understand the behavior of the method, we generate synthetic data\n", "distributed according to a mixture of Gaussian with an overlap governed by an offset $\\omega$.\n", " Here classes indexes are set to $y_i \\in\n", "\\{-1,1\\}$ to simplify the equations." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 1000 # number of sample\n", "p = 2 # dimensionality\n", "omega = 1.5 * 2.5 #offset\n", "n1 = n/2\n", "X = rbind(randn(n1,2), randn(n1,2) + rep(1, n1) * omega)\n", "y = c(rep(1, n1), rep(-1, n1))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Plot the classes." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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pwOn3nr0YP30JAhvA0+fZrZ2qqWF8hwK5yIMbNHj+S5GFW2ChVYXJw2P1uxtm5V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\nS5dqnSlWjFOmtTXf9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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=5)\n", "\n", "for (i in c(-1, 1))\n", "{\n", " I = (y==i)\n", " plot(X[I,1], X[I,2], col=(i + 3), xlim=c(min(X[,1]), max(X[,1])), \n", " ylim=c(min(X[,2]), max(X[,2])), xlab=\"\", ylab=\"\", pch=16)\n", " par(new=TRUE)\n", "}\n", "\n", "cols = c(2,4)\n", "legend(\"topright\", legend=c(-1, 1), col=cols, pch=16)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Logistic classification minimize a logistic loss in place of the usual\n", "$\\ell^2$ loss for regression\n", " $$ \\umin{w} E(w) \\eqdef \\frac{1}{n} \\sum_{i=1}^n L(\\dotp{x_i}{w},y_i) $$\n", "where the logistic loss reads\n", " $$ L( s,y ) \\eqdef \\log( 1+\\exp(-sy) ) $$\n", "This corresponds to a smooth convex minimization. If $X$ is injective,\n", "this is also strictly convex, hence it has a single global minimum.\n", "\n", "\n", "Compare the binary (ideal) 0-1 loss, the logistic loss and the\n", "\n", "(the one used for SVM)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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C1P3wRMTU0F0KFDBw1nE8SSJUuCgoIq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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=6)\n", "t = seq(-3, 3, length=255)\n", "plot(t, log(1 + exp(t)), type=\"l\", col=2)\n", "#plot(t, t > 0)\n", "lines(t, t > 0, col=3)\n", "lines(t, pmax(t, 0), col=4)\n", "legend(\"topleft\", legend=c('Binary', 'Logistic', 'Hinge'), col=c(3,2,4), pch=\"-\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This can be interpreted as a when one\n", "models the probability of belonging to the two classes for sample $x_i$ as\n", " $$ h(x_i) \\eqdef (\\th(x_i),1-\\th(x_i)) \\qwhereq\n", " \\th(s) \\eqdef \\frac{e^{s}}{1+e^s} = (1+e^{-s})^{-1} $$\n", "\n", "\n", "Re-writting the energy to minimize\n", " $$ E(w) = \\Ll(X w,y) \\qwhereq \\Ll(s,y)= \\frac{1}{n} \\sum_i L(s_i,y_i), $$\n", "its gradient reads\n", " $$ \\nabla E(w) = X^\\top \\nabla \\Ll(X w,y)\n", " \\qwhereq\n", " \\nabla \\Ll(s,y) = \\frac{y}{n} \\odot \\th(-y \\odot s), $$\n", "where $\\odot$ is the pointwise multiplication operator, i.e. * in\n", "Python.\n", "\n", "\n", "Define the energies." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "L = function(s,y){1/n * sum( log(1 + exp(-s * y)))}\n", "E = function(w,X,y){L(X %*% w, y)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define their gradients." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "theta = function(v){1 / (1 + exp(-v))}\n", "nablaL = function(s, r){ - 1/n * y * theta(-s * y)}\n", "nablaE = function(w,X,y){t(X) %*% nablaL(X %*% w,y)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "_Important:_ in order to improve performance, it is important (especially\n", "in low dimension $p$) to add a constant bias term $w_{p+1} \\in \\RR$, and replace $\\dotp{x_i}{w}$\n", "by $ \\dotp{x_i}{w} + w_{p+1} $. This is equivalently achieved by\n", "adding an extra $(p+1)^{\\text{th}}$ dimension equal to 1 to each\n", "$x_i$, which we do using a convenient macro." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "AddBias = function(X){cbind(X, rep(1, dim(X)[1]))}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "With this added bias term, once $w_{\\ell=0} \\in \\RR^{p+1}$ initialized\n", "(for instance at $0_{p+1}$)," ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "w = rep(0, p + 1)\n", "dim(w) = c(p+1, 1)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform one step of gradient descent reads\n", "$$ w_{\\ell+1} = w_\\ell - \\tau_\\ell \\nabla E(w_\\ell). $$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "tau = .8 # here we are using a fixed tau\n", "w = w - tau * nablaE(w, AddBias(X), y)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "$$\\tau < \\frac{2}{L}$$\n", "$$ L \\leq \\frac{1}{4}\\norm{X}^2 $$\n", "If one chooses \n", "$$\\tau < \\tau_{\\max} \\eqdef \\frac{2}{\\frac{1}{4}\\norm{X}^2},$$\n", "then one is sure that the gradient descent converges." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] 0.0005154158\n" ] } ], "source": [ "tau_max = 2/(1/4 * base::norm(AddBias(X), \"2\")**2)\n", "print(tau_max)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 1__\n", "\n", "Implement a gradient descent\n", "$$ w_{\\ell+1} = w_\\ell - \\tau_\\ell \\nabla E(w_\\ell). $$\n", "Monitor the energy decay.\n", "Test different step size, and compare with the theory (in particular\n", "plot in log domain to illustrate the linear rate).\n", "etAR(1);\n", "etAR(1);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Plot with title \"E(w_i)\"" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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YEWFS0SglvhCE3IkXQOkq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", "text/plain": [ "Plot with title \"log(E(w_l) - min E)\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/ml_3_classification/exo1.R\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Generate a 2D grid of points." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "q = 201\n", "tx = seq(min(X[,1]), max(X[,1]), length=q)\n", "ty = seq(min(X[,2]),max(X[,2]), length=q)\n", "B = as.vector(meshgrid(ty, tx)$X)\n", "A = as.vector(meshgrid(ty, tx)$Y)\n", "G = matrix(c(A, B), nrow=length(A), ncol=2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Evaluate class probability associated to weight vectors on this grid." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Theta = theta(AddBias(G) %*% w)\n", "dim(Theta) = c(q, q)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the data overlaid on top of the\n", "classification probability, this highlight the\n", "separating hyperplane $ \\enscond{x}{\\dotp{w}{x}=0} $." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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zJmJVWV9torys0g44Lexh5JAqEQpU/Tu7TOWidoBvp/p1BVNbgid/5j8+TJBRnJ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\n7M6/jUti8L9cTQRL634jh7bw69MejQ9ja3LZByQ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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "color = function(x){rev(cm.colors(x))}\n", "image(tx,ty, Theta, xlab=\"\", ylab=\"\", col=color(10), xaxt=\"n\", yaxt=\"n\")\n", " par(new=TRUE)\n", "for (i in c(-1, 1))\n", "{\n", " I = (y==i)\n", " plot(X[I,1], X[I,2], col=(i + 3), xlim=c(min(X[,1]), max(X[,1])), \n", " ylim=c(min(X[,2]), max(X[,2])), xlab=\"\", ylab=\"\", pch=16, xaxt=\"n\", yaxt=\"n\")\n", " par(new=TRUE)\n", "}\n", "\n", "cols = c(2,4)\n", "legend(\"topright\", legend=c(-1, 1), col=cols, pch=16)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 2__\n", "\n", "Test the influence of the separation offset $\\omega$ on the result." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Dw1/LjVtERawQZZz55tnxiijU10HcuUc9RUvG45sqW20KWhdaJaLyKD0OtJiDCk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\nCiuIVaUSPhQBCZHCv2snGvTViprtvpDoqxrJKdauDPsXM2ty0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ZHkGDiIiIhIcgwcREREJDkGDiIiIpIcAwcRERFJjoGDiIiIJMfAQURE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\nI/Hpu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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/ml_3_classification/exo2.R\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 3__\n", "\n", "Test logistic classification on a real life dataset. You can look at the Numerical Tour on stochastic gradient descent\n", "for an example. Split the data in training and testing to evaluate the\n", "classification performance, and check the impact of regularization." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "source(\"nt_solutions/ml_3_classification/exo3.R\")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Kernelized Logistic Classification\n", "----------------------------------\n", "Logistic classification tries to separate the classes using\n", "a linear separating hyperplane $ \\enscond{x}{\\dotp{w}{x}=0}. $\n", "\n", "\n", "In order to generate a non-linear descision boundary, one can replace the\n", "parametric linear model by a non-linear [non-parametric](https://en.wikipedia.org/wiki/Nonparametric_statistics) model, thanks to\n", "kernelization. It is non-parametric in the sense that the number of\n", "parameter grows with the number $n$ of sample (while for the basic\n", "method, the number of parameter is $p$. This allows in particular to\n", "generate decision boundary of arbitrary complexity.\n", "\n", "\n", "The downside is that the numerical complexity of the method grows\n", "(at least) quadratically with $n$.\n", "\n", "\n", "The good news however is that thanks to the theory of\n", " [reproducing kernel Hilbert spaces](https://en.wikipedia.org/wiki/Reproducing_kernel_Hilbert_space)\n", "(RKHS), one can still compute this non-linear decision\n", "function using (almost) the same numerical algorithm.\n", "\n", "\n", "Given a kernel $ \\kappa(x,z) \\in \\RR $ defined for $(x,z) \\in \\RR^p$,\n", "the kernelized method replace the linear decision functional $f(x) =\n", "\\dotp{x}{w}$ by a sum of kernel centered on the samples\n", "$$ f_h(x) = \\sum_{i=1}^p h_i k(x_i,x) $$\n", "where $h \\in \\RR^n$ is the unknown vector of weight to find.\n", "\n", "\n", "When using the linear kernel $\\kappa(x,y)=\\dotp{x}{y}$, one retrieves\n", "the previously studied linear method.\n", "\n", "\n", "Macro to compute pairwise squared Euclidean distance matrix." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "distmat = function(X,Z)\n", "{\n", " dist1 = diag(X %*% t(X))\n", " dist2 = diag(Z %*% t(Z))\n", " n1 = dim(X)[1]\n", " n2 = dim(Z)[1]\n", " out = matrix(0, n1, n2)\n", " for (i in 1:n1)\n", " {\n", " for (j in 1:n2)\n", " {\n", " out[i,j] = dist1[i] + dist2[j]\n", " }\n", " }\n", " out = out - 2 * X %*% t(Z)\n", "\n", " return(out)\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The gaussian kernel is the most well known and used kernel\n", "$$ \\kappa(x,y) \\eqdef e^{-\\frac{\\norm{x-y}^2}{2\\sigma^2}} . $$\n", "The bandwidth parameter $\\si>0$ is crucial and controls the locality of\n", "the model. It is typically tuned through cross validation." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "kappa = function(X,Z,sigma){exp( -distmat(X,Z)/(2*sigma^2))}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We generate synthetic data in 2-D which are not separable by an\n", "hyperplane." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 1000\n", "p = 2\n", "t = 2 * pi * rand(n/2,1)\n", "R = 2.5\n", "r = R * (1 + .2 * rand(n/2,1)) # radius\n", "X1 = cbind(cos(t) * r, sin(t) * r)\n", "X = rbind(randn(n/2, 2), X1)\n", "y = c(rep(1, n/2), rep(-1, n/2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the classes." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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jmSYmM17T95Iu+SLfk1f76wtNKPyKQ6+OBBypFDJ9fBgX7/PVXvZYbi1Cny8BC4\nyQ4ONGECqdVERGfOUO7cOrk2NjRpknzjEn9oevemb74x7NtSqhT5+GiUa6ZM9PXXdPUqubkJ\nF16xIrXvXDonPStCa1qrYdIP16+jaVP9XZaDB9G4MXbvxrRpohW/fMHZs2jWDKNH6x8Sj4vD\nwoVQqzF/PrZvx/79KFgQLi6Ij8fnz5qDELKcOKGz55eItGF9SIjW/0uzZnj8GJs2afalypZF\nt268MmYA9evj0SNcuIDAQISEIDwcdnbIlw9NmyJ/fk2ZunXx6BH8/XHxIiIjUaoUunZFuXI4\nfx7r1uHBA9jZ4auv4OurH0xYwv3bn38avEEbEICAAM3riAgcPYrz50Vd4g0Zgho1UL68YV0w\naYO5NbEFwDNC09O4sei/bOmVMYDWraNnz0SN121tBZZVs2dX+h9f7LSvxFxBpaL379P29jFC\njBmj/9E4OtK6dTplpBfMjVhCMOjKnl1/C8CaSM8zQvY1yqQ5ERE4eVI0V/bMr5sbjh0TNQKM\njxc4d6/woDSAfPmE01u1Eq1SsyZy5lTaPpNKrFuHefP0ExNMrm7e1KZIeyd4/tz0giUlJAQV\nKwo772bMCitCJs15/17eD6cYNjaoUwfv3plUoCT4+Aind+uG2rUF0p2csGBBagljVk6cwOjR\n6NgRw4Zh925TBnlMFcSiMcfH6xwlTLAOFSN5MOFEVCqjxEpGdDS6dZPxxs6kOawImTQnRw7j\nHys+PsiePaU+l8UoVEjU4t/WFvv3o0cPnYPwJUvi8GFUr54qwpiPiAi0bo1GjbBgAf78E0uX\nol071KqFt2/NLZkYkZG4d0809+pV7ethw+DgYEwX0hFCDCIiAqtWmaw1xhSwImTSnGzZ9E0Y\nFFKgALZvB4DGjVMlVvjLl9i5UzTXxQUbNmjKbNyIy5fx4IE2YHoGYsgQJHfRfPkyvvkmvYbb\nk15OT2qTlRDm3lD3rY6OOh5lU07KveYyJoUVIZOGBAfjyROEhODrrw2u26gRHjzQ/J0vVgxD\nhxrcghKnZVOnyhTInx/t2qF7d3h5pYoyNjcvXmDDBuGsc+cM8LuSpmTPDldX0VwPD523nTvj\n7l0ULqy08Vy5sHMnBg1SWr5uXU08Zwkk1mAZc5ABf8lMeuToUVSvjly54OkJNzccPmxYdScn\n/PADsmXTpixYgBEjYGurtIVMmbBmDd6+xYkTKF1atNiDB/oR5qyMc+ekpg92l+MAACAASURB\nVH3nzqWhKMpRqdCli2hu8qzYWEW7dI0bw98fT5+iRQv06yflKDWRBIelBw7IBHx+8gStW+PH\nH0Vd5DBpCytCJvXx90fTprhyRfOIVavx99+GtRAVhWbNdKZrdnZYtAhPnkhptaT8+ivy5kWW\nLGjYEPb2UiVTGP3cwtHzImdQrjmZMkXjXU+Ppk3Rq5d+YlI7UgmGDkW3bhrXpnZ22LsXU6Yg\nMYpQ9uzo3Rt9+sDDAzlyoFIlTJ6MGzdQsCDq1cO1a9pTj8l5+hT79mHOHFSogF9/VSQMk5rw\ngXomlfn4EUOHmmZzafJklCihE7G9SBF4euLhQ6lanp6YMQMdO2pTChbEnTvChe3t9Z1VWhmJ\njgGMyDUnbm64cAHjxmHLFs2moKsrhg3DhAkCywZKAlIm+ApPioMDJk3CxIkICoJajQIFpBYk\nypTBhQuoXRtBQVK9xMdj3Dg4OWH4cJMZpjKGwzNCJpXZt8+UcyxfX/2wEtWqSZUvUQJHjuho\nQQDt2omWb9pUZlEro9Oggeh2m709WrZMW2kMImdOrF6Njx9x/z4CA/HuHaZMEbYRVWKr1aKF\nzlJ8IioVChZE4cLyy/JFiuDaNfTpI79l+N138PDQGIIx5oAVIWMMMTHYuhXDhqFXL0yZovUz\nBQBE2LgRjRujQAG4u8us/LRpg/r1UaCA0o7DwnDokE7KgAHCD6wEAgPh46Nvm9C7N2rVEijs\n4oK5c5VKkkHJlAkLFwpPTsaPR7FiaS6QoTg5oUwZFC8upai8vARX1KPh+D8M88YJDzypvH/6\nqFEpPmGfNy8mTFAUnvDZM3z7LdauTVl/jLGY27WNYTx9+rRixYq2trYAnJ2dBw8enLyMycfF\nLtb0ePBA3xeVSkU//URqNVFMDLVrZ4DTqVWrNI1++63SKjNm6At05IhoOIKEa8MG/SqhodS3\nr47P7urV6fbtVL93FsK2bVS4sPbe5MhBixZp/F1nEK5cocyZk35JguFaFdf0vjhZs9Kx7Z8o\nNNTIXtRq8vIy4Ofg4mJ8X+me9OxizZIUYWBgoH0yM4cGDRroFWNFmKp8/qzziEx6LVpENGuW\nYd4XE6MdhYdTly6Kqvz6q4BY27ZJVenSRXgw79/ToUO0Z481e4AUY8kScnXV3kIPD9qzx9wy\nmZbr15N+STphq+B3xxXBwXClUqXIz8/g/wJXrxr2cwBox47UGa35Sc+K0JKWRrt06RIbG2tn\nZzdv3rzXr1//9NNPKpXq1KlT88W8KzGpwLp1opbn06cjftkKA9pq2BAVK2peZ8oEf3+MGydf\nK7FKUqRDqj56JJyeMyeaNkXr1ihZUr5fa2LqVAwfjo8ftSlPnqBtW/zxh/lkMjlVqiR6XHuL\nPH/iW8FSH+G6GV0REABfXwwYYFgXt24ZLFVq+ztlhLAkq9E7d+4AGD9+/OjRowHMnDkzV65c\n33///fjx4319fbMkWDkbSExMzLRp08L17C90+fDhAwB1ene2mEacPSua9f49ApCprMKGypXD\npk3at3fuoEsX+WNVZcro2/KFhaFjR5mDiVYVGj7FPHuG6dMF0okwfDjatDHYMUv6ZepUtGwJ\ntfo2KqrFDSZuoZLm1erVaNdO1CFtcox4aBj1HGNSiCU9IGJjYwEMHDgwMWXUqFErVqwICAjo\n3r37bqN8ui9cuHC64I8+GS9fvjSi/YxHaKhkLlxE8/LkQcWKCA5G3rzw8UGfPtoHalAQGjXC\nhw8yfefLh23b9LVajx6CWvA18h9E83+RLztCGhfJYVIHWRmcvXsRGyuc9f49zpxBkyZpK1Dq\n0bw5Vq/GsGFx4VJPwlgk2ZHZuNEARWjESoOgGReTyliSIhRk7969JUuW3Lt3b0BAQCnD/QGO\nHDny8+fP0jPCtWvXhoSEFEq/R6jSlIIFJXPdIiHmmKV2bezYIZz1668yWrBgQfTpg+++g5sb\nvnyBo6PmUPzNm9i7V68sQTUZU+ZgXAw0pvOq7ejaHX5+8nbsDADpv3xjx+L+ffTtCxfx/zyW\nRO/eaNmyxPJjmChapAQCtW8CA3H6NDZsQEAAHB1RrRp8feHuLlyzdm0UKWLAamebNiirdEmF\nMSXm3qQ0ACcnJwCjRo3SS+/UqROA3LlzR0ZGEhvLpDL79olu81euLBQcNfHau1e00ZIlZSwI\nMmemly9p5EjKm5cAsrWl6tVp+3ZauDB54Wn4WbCN9u3T8DZZMpMny5t0FCigtXPKGNSuLTxS\nB0Q/gbv2fZ48+iWcnWnrVuFGL1wQDjRtY0MODvqJ9evTp09pO+g0JT0by1iSIvT29gZgY2Mz\nevTof/75JzE9NjbWxcUFQPbs2Tf9t+1kwn5ZESZFraZWrQR+2o6OdO4cUVgYVasmkD1woFSj\nSc0Txa78+QUS69fXSwmBizMixNq4eFGn27g42rqVOnemevWodWtatIjCwlL15lkGR47IfxoA\nFSpEX76YW1bT8fAh5cypP0YV1EswTP5eODjQgwf6LarVVLq0olsJkEpF/v7mGHfawYrQNAQH\nB2dKEj0gadb9+/eddHfwTdgvK0I9IiLou+/I0VH7Ky5Thk6fTpI9eTIVKaL551u5Mq1fL9Oi\n7IxQ4vGhm7IPLSWKT52q7TM0NLkapaJF6eHDVLptJiM4mFatou+/p/Hjadcuiokxcfvx8VS9\nuqLbv3q1ibs2L8+fU48elDUrAWSLuFo4fxDNlH4VmzWjly91mjP07ESOHBn7jxgrQpPx/v37\n5s2bOzs7q1QqvaxPnz516tQpV65cCcftTdgpK0JBPn2iw4dp5066fVvkeFV4OEVHK2qreXMj\nFSFAtrZJ365BH4myw4dr+xQ7tViihFKpzYK/v+ZJnXh5etLNmybuJSiIqlSRv/e+vgY0uH8/\n7d9Pr16ZWFSTExdH717HRrTvpj/apO4XxP6WFS5MP/9ML14QEW3davCXeedOc48+FUnPitCS\nzhECyJkz54EDByIiIpIfZsiePfvWrVvfvXsXFxdH6TR+aIYie3Y0aYJ27VChgoi74EyZFEUD\nHzsWBw8aL0eRIknf5cY7ibK5c2teBAVh61bhMoGB2LPHeHFSlaNH0bOnfgiIx4/RpAnevzdl\nR/nz4/Jl/PEHGjeWKhYRId9UUBBat0bBgvDxgY8PChVCy5Z49cpUkpoeW1vkymfnvH0jtm1D\ny5YoXhzlyqFfPxw4IFOTCC9eYPp0lCiBtWuNCWr/zz9GicykFAtThEx65/Vr7NmD7dtx966i\n8idPptS9p6cnFi1KdBRdF2czqSLFyiZGlEsMCSXIlSspkij1mDxZ+GTa+/dYtMjEfdnZoWNH\n/PabVBlZ16MfP6JePezbp73bRNi/H3Xryh+WMTMqFb79Fvv2ITAQd+9i1So0aKD0kF9UFPr3\nR1ycwQEl2KzZTLAiZEzEx4/o0gWFCqFtW3z7LSpUQOXKuHFDW+DtW6xahfHjMWuWNsDrmjUy\nzTo64uefkTWraIEKFTBiBF69wqlT2LYt25m/Jk8XDjfYubM2UoX0VCZSVJOak/BwXLokmnvi\nRKp0Wq4cypUTzrKxwbfCzli0zJ6Np08F0v/5B7NmpVS2tMbeXn7AiajVWLkSHToY1kWNGoYK\nxZgGc6/NWgC8RyhPVJTwnlK2bHTvHhHRggX6duT16tHr11S1qtSWydy59Po1Xb5MDRsKF3Bw\nEHQTOmOGTm82NtS3L0VEaAucPy/V7bx5aXXfDOHVKymZS5ZMrX4vXCBnZ4Eex4+Xr6vnnD3p\nVaxYagmcivz7LxUtqnTDL3Nm+vhRwO4o+cGJhKt5c3MPL3VJz3uErAjlYUUoz//+J/o48PGh\n1auFsypVoq++knqUXLggZb9ob0/r1olJ9O4d+fvT7Nm0YgU9eaKfGxdHxYqJ6tanT1P3bhlH\nVBTZ20s9dcuWpc6dBcz4U87161SvntZEt1AhWrFCUUVBDZr46Vkkb95Qjx7CpwP1LpWKYmMp\nJoZWr6aWLalSJWrQgKZPp/v3qVIl/cI1atCHD+YeW+rCitCyYUUoT5MmUg+8hFPwglfyEwyJ\nV86cVKiQ8POlcGHq2TOFtpLHjwv/NZ8zx1Q3xfQosa5Vqah//1Tp/d07unaNAgMNiMGQO7eo\nnG5uqSJkGhERIX9GsEAB0erR0bRxI3XvTo0bU8+etHUrxcamofTmIT0rQt4jZExBUJBoVmws\n3rwRzc2aVdSgoHRpYWdfRKhYEevXo1IlgVzFeHvj9Gkdz44eHvD3x9ixKWk1dZk9W96cggir\nVuHnn03fe65cqFoVxYsbYAJSr55oVt26JhHKTDg7Y84cmRsRGooBA3DnjkCWgwO6d8fGjTh6\nFOvXo1Mn9gtvXlgRMqbAaL+TKhXmzhV4oDRpImXQcuSIMX79k1GjBs6fx7t3uHYNz57h8WN0\n65byVlORChVw5IgiT86zZqFrV2zahJiY1BdLnB9/RLIQogBgb4/x49NcGtPSqhWWLZOKxPHl\nC1atQsWK6NQJkt6MGbPDipAxBfXrG1kxTx6MHo3Tp9G+PQoUQM6cqF0bfn44cEDqZFx0NEJC\njOwxGQkTnaJFTdVe6lKrFh48wPnzWLJEqphajS1b0L07qlUz56G9qlWxZYu+zW+WLPD311rw\n6nHyJEaPRseOGDYMu3cjPj4NxDQWX188fYrp0+HpKVVs2zb06JFWMjHGwPNxxhR89x38/HQC\nuSqkQgUAqFtXYKXMzU00BLC9fUaJfWAMNjaoVQvu7hg+XL7wnTto3x6XLsHGTH96O3RAvXrY\nvBk3b4IIlSqhWzetZ4OkREaic2edaCJLl8LLC3v3Ik+eNJPXQPLlw4QJGDIEuXMjLk602K5d\nuHpVVPmnkKAgvHmD/PmRL1+qtG8F8IyQMQV58uDgQRgRqer2bdEsiah33t6wtTW4r4zClSto\n1Uo08k9yrl7F8eOpKZAcuXLhu++wbh3Wr8eoUcJaEMCQIcljauHKFXToIOX9IF3w+LGUFkyg\nfXucOmXifv/6C+XLo2BBfPUV8udHpUoyEaoZEVgRMibCywuPHmHjRgwbhoEDMXmyoloSR8S/\n/154IuDggGnTjBTS8tm+HbVr46+/DDv1f+FCqglkIl68wPr1wlnnz+PkybSVxlCUTLdfvULj\nxjAqfrgw69ejdWvcu6dNuX0bLVrgjz9M1oXVwIqQMR3OzujeHUuWwM8PEyfC2Vm+ytu3olm5\nc+PoUZQpo5OYJw92706tJaZ0z4cPGtddhvLli5E9fvqEuXPh44MaNdCpE7ZsSa1Nu/PnpaZ9\niZ6I0iklS0pZzSQSHw9f3+R/Yd6/x5Yt+PVXrF8vuhugz6dPGDFC4Jap1RgyRN8dLSMH7xEy\nkty4gTVrcPcubGxQuTL699fXTGK8favIYPHDB4wciYULhXPLl8fduzh2DFevIi4OZcuiRQsk\nCcVlbezcidBQYyrqeiZXyu3b8PHRHo25fBnbtsHPD/v2Sfm8Mw7pR3d6f7BnyYIePbBypXzJ\nd+9w4gR8fBLeEWH6dMyciagoTb6tLQYOxMKF4v7qt2/H0qW4fFl0TeDjRxw9ivbtDR2ENcOK\nkBFn5kxMnKg9qHDqFJYswaJFGDJEvu7+/UrnDosWoVUrNGoknGtjgyZNpPYLrYmAAKlce3vE\nxgqkOzigdWuD+4qMRJs2AgdET5/GkCHYuNHgBvWIjcWNGwgKQr58qFJFZn/ZiN3ntGbePNy9\nK7XUn0gS76szZmDSJJ3M+HgsW4bISKxdK1R3+HD873/yXTx7Jl+GSQIvjTIi7N2LCRP0j+vF\nxWHYMJw9K19d6RIPAGDIEDx/bph4Vom0hdDQocJ7VVOmoHBhg/vavl30M9m8Gf/+a3CDSVm7\nFoULo0YNdOiAWrVQsCACAhIjiOhjZ4eWLVPUXVqQLRtOn1YUPiImBlu2YMWKj1uPzJghXGT9\neqGD+Lt3K9KCgKJdCSYJrAgZEebNE04nwoIFmtcfPmDsWJQsCRcXFC6M/v0RGKjJMmjtLDAQ\nJUrAzy8F4loeL1/i/n3DFv0SDpuI0b8/9u1DqVLalAIFsHo1fvzRGPGuXhXNUqt1wooYytKl\n6NtXx93Qhw/4/ns0bizsqmXCBANMZM1JfLyig/PjxqFrV/j6nuril7giqgeRkPnnihVKJYmJ\nwc2bJnE6YSWwImREkHgQJsTre/wYlStj7lwEBiIsDC9fYvVqVKmCY8cAoHZtw7qLicGgQRg6\nNN1byqcUIvj5oVgxFC6McuXg6orWrfH334rqtmsnelSsXj3NFurDhwgMxLFjuHcPL16gb18j\n5RR7RidgdKSqT59EFfOePVi+XGc7080NixYpNUA2P05OiiJR/7dl8A4i50gScpNHmE5qICrN\nqFGoUgWenqY0Us3QsCJkhIiPlzJ1SXgK9uwp4LMkPBzduiEsDLVro2FDg/v9/XcsW2ZwLYti\n9GgMGqQNRR4Xh337UL067t+Xr5slC2bOFIh8XqyYzqZd8eJo1Ahly6boEL30JMzoKdrRo6Im\nrNHRsLXFkye4fh179+LCBbx+jREjDI5uazZUKoP+/+WEVGzinDmF2jeIZ8/Qvj3+/NOwWlYJ\nK8IMS1gYtm7F1KmYPx/nzxtY2dZWytDQ3R137uDixYR30XDchG6DsLwbNk3EtNvv8mHXLgBY\nvRr58xssdwoD1qdvrlwRtpD99EneAikmBr16oU8fREdrE7Nnx/jxuHnTmF1Aab75RthNKIBS\npVC5spHNSvt7e/kStraoUgWtWqFmTUXzq/TFzz8L//uwtU3uhrABTjlA9O/m118nS5Iw2HZ0\nFFaTRBg+3MwOZy0BVoQZky1bUKQIunTB5MkYMwZ16qBWLcPsV9C5s1TW3bsJLwNQqjzudoe/\nH3w3o+t0/FwZN0cudqfgj2jdGq9fGyz6P//gg9Q/ZYtmyxbRpd+zZ6VieAAYPhwbNugnhoTg\n0aNU8Tfn6YmpUwXSnZ2xerXxs7Rs2aRyxQby/j327cOff+Lq1fS98+XtjZUr9c8UZs+OvXuT\nT6Jz4sNY/CrYTOdC56scmK5/uHLgQKl+xb5Yb99agD8Fs2PuOFAWgMXFI9y/n2xsBOKjlSih\nE6Vdh7//Jn9/Wr2azp6luDgiorAwKl9eoJWaNSkqijZuJCAcmYrimWAsttleO+RD54ldz5+n\n4d1KU1q3lhr3mTOiFf/5R/gzTbhu3EgtgTdtohIlNL3Y2FDDhintKyBA6g5cvapf/ssX8vXV\niUjs6UnHjqVIhlTn5UuaPZu6d6eePWnxYgoOJiIaPTr5gONhMw6z7RCrDScJdU+sj8B/EY0r\nVKC7d7UtDxkicNd8fGjQIKnbumGDue5EUtJzPEJWhPJYnCKsUEH0F7F4cbLSb9/qP549POjU\nKSKikBAaNIgyZdKkZ8tG339PX75QSEhCQN3l8BXrKDs+xUA8nrrElSkTRUen+T1LIzp2NEwN\nJLJ+vVTF+fNTRdp//6WVK2n8eBo/njZsoI8fTdNsp07Co2jRQr+kWk1NmwqUdHDQfEMtif37\nxT6/F84l/Fx/nIipSzAsACX1C+TKRa9eadvZto3q16fMmcnJib76ipYto7g4mS/W7t3mG7YW\nVoSWjWUpwn//lfpFtGqlWzoqiipWFCjn5ERXrmjL3L9PDx5ogmiHhZGbW0KxbvCX6Os6qhij\nCLt3T+M7lpbMnSv1ByA8XLTiwoVS9+znn1Mk1YkTNHw4ffMN9elD/v4UHU1qNfXtS7a2Or00\nbEhv3qSoowQ+f6YWLfSH0LAhffqkX3LXLtEhV6pkAknSFLWa6tUTHkzLljI/iqFDpVp+/Jgc\nHETr2trS27dpNUgp0rMiZM8yGQ3p/TX9GH+rVwvHf4iKwtixOH4cR4/i3Dl8+QJ3d2TLhgIF\n0KwZgoMTSoVBasNHOleYggUxZ47BtcxKbCyCguDsrChUUJ8+mDVLOFzV4MFSzuOkA+wYHX4n\nOhrdu2P7dm3K2rVIOOX98KF+4ZMn0bIlLl1KaeSPLFmwfz9OnMCBA3j1Cvnzo2lTNGkisO+4\nZ49oI7du4cUL05sIpSIqFXbuRJcuOHpUm2hnh7Fj5S2GDx2Syv3tNylzmEGDRON9MP/BijCj\nkSuXVK7+L+Kvv0SLnjmDKlV01OSYMfjhh0RjUQAFIWUCWAgvJSXVxd4eHTpg/nxjDE3NxL//\nYtw47NiBiAgA8PDAmDHw9ZUyJHFzw65daNdOXxe2aYOZM6X6atQIzs7Cp/dsbdG8uRHiA8Do\n0TpaMIHkKjCRa9ewfTu+/hofPyJHDri5GdkvAG9veHvLlJG2tQoKsihFCMDNDUeO4MIFnDiB\n0FAUKoTWrVG0qHxcawnf9ICMUbiY9xomCawIMxp58qBKFVHHH02bJnlz/DhOnxZtSK3WnyzG\nxOj9qNph1zIMFqxdHnc98ESRuLNmoWpVeHgock+ly5s3CAqCi4tMhPDU4OVL1KqlcxjgyRMM\nHozbt2VOQtarhwcP4OeHs2fx+TM8PPDtt2jTRsYO080NU6Zg7FiBrDFjUKyYMUP48MEYZz7f\nfYd370AElQrVq2PWLDRoYEzvSpC2hs2ePbX6TV1q1UKtWjopsjM2gUOFSZCOLZL0tA0jhrnX\nZi0Ay9ojJKKjR/V3dxKusmUpMvK/Qlu2SJkhKr464o/kyQ6IPoO6UhWzZaORI2nTJvryxbgx\nXrhANWpo2ytShNauNaD6iRPUti3lz0+5clHdurRqFcXHGyZAhw6igzt+3LCmlPPbb5Qtm7aj\nzJlpyhSDJU9E3HrDgMvGhrZtM+kgk7B0qWi/efNSYCBt2EB+fnT8uIXbV3l7y9zl/v2NrJ45\ns8YIPB2QnvcIWRHKY3GKkIh27qTcuXV+EY0aUVDQf9khIZQjhwmegkAUHMdiTiaEa9Ut7p2G\niFFAwpUvH928mZLRHTsmbBwwbZqi6tOnk0qlX9fHx4CHaViYjkG/3tW3r9Ejk+fzZzp4kFas\noH37BKxLDGLrVpN8BcjVlUJDTTQ8XcLDqVgx4U4rV9b5EAsUoL/+ShUZUp23b4X/tyZeKhU9\neybVwv/+J1q3cGH6++80GogcrAgtG0tUhEQUEUF79tC8ebR0abKzX1u2mOYR+N/1GVlOosFu\ntLmLcmokUzLVq1ObNlS1Knl708yZmmNVxhIfT+7uwoLY2cn/6s+cER2HQj1KRHfvSt2PevVS\nMr6048IFk30FUm9SGBBApUvr9GVrSwULCn/6qTcXT0X27ZO5uWXKSFWPiKAxY8jOTrS6i0sq\nnjM1hPSsCHmPMMPi7CwehS5JRDSTkAVfGuCUcJ5KhblzUbeuqfq6elVU/Lg47NwpvJGWyPLl\noll+fpgwQZHPlOTePpOiJFa5CYmJwZcvyJLFYIdkXl4oXNhAf0MiPH5sgkYEKVkSt29j716c\nPYuICHh4wMZG+COOi8Po0bh5M7UkSS2UBKz4+mvkzYtWrdChg47NbmQkvL1lgiCGhqJPH9y8\naTk+W80Au1izSqQf5CZEpcLs2SbUgpCLOSobkVQgzNt/vHqFT58UyeDuLmW+8NVXihpJObdv\no3VruLjAzQ1Zs6J5c1y7ZkB1W1ssWyZ8FkLMy6gYqRr/LsGgeOFCrFiBIkXwq7BXMgC4dcsY\np35mRtby9cEDHDsGf3906oQGDRASos2aP19RKODbt6W+9wwrQivFyyu1Ws6RA/XqoVAheHig\nc2ecPSszQTMcicN2srmATJSn/yLkyGBrK+oj29kZAwYoaiSFHD+OGjWwb58mXlJMDA4dQq1a\nmhMx0dG4fBnHj2vDXAjSogUOHkTp0toUNzcsWIBr1+DtrXUf7eoqM6i00f1DhqBLF5mTsimM\nGGwGvLyQJYvSwufOoV8/7Vt/f6UVEwOFMoKYe23WArDQPUIp4uPJy0vR5k9yqxK97Ye+falw\nYcqShYoXpzFj6N271Jb99Wspc9c//pCpLmHtmTs3qdVKxYiJoW++0W8hUybatSuF41NEVJTw\nPlnCKH76Sce49Kuv6PJl0aZev6ZVq+i772jYMNq2jWJitFnBwXT9Ov39N6nVpFZTrVrCPVav\nLmy5+scfVKcOOTqSnR2VL0/z52ucFJ04YYwBx86dir6w0mYl6RSxOyt2Jdw+tVpqa1Dv2rPH\n3INM13uErAjlyYCKMDKSGjZU9PtZtIg2b6YyZYRzly41i/g9ewqLU6KEvOXngQOiYx071jAx\n1GrauZO++YbKl6caNWj0aHr61OgxGYahJx+cneniRQH5J0/Wsb9VqahLF9EjLS9fUqlSAvdc\n0Ef68OECYjg6al+XKkX79xsw5ORe2ZJfHh4GNJiOEPLHLXX5+2sqJvoBlr5UKvrnH7OOkIgV\noaWTARXh998r/cndukVEFBJC7dvrP1nnzTOX+J8/U+PG+pIWK0YPHyqqLviMrlHD6DONxhAR\nQdev06VLRh48+O03w56cAFWtqtNCfDwNGCBcsm1b0X7Dw2nJEmrRgqpWpebNafFiYf+osoaQ\nCVfSM4hfvtCGDTRyJH33Ha1aRSEh+m0WLizf4NatxtxM83PunGGfpZ+fpmKdOorKt2lj1uFp\nYEVo2WQ0RRgRQZkzK/r91KypU/HuXVq0iKZOpXXr0mAJVJr4eNq5k3r0oIYNqV07WrrUMDW2\nZQvVqKE5vlW8OM2YQVFRqSarLp8/09Ch5PxfmB07O+rUif7917BGliwxWBEiybLhnTuik/yE\n6/z5FI2xTRulIuXKRRERdPw45cmjk549u37IhKJFpdpxdjbX8oSJyJ/fgA/yyBFNre3b5QtX\nrEjv35t1bBpYEVo2GU0R3rih6MdWqBA9eWJuWVMXtVpmKTU+nq5coY0baf16OnSIXr7UyTVC\nd0ZF6TjESbyKFTPsr4WhU4iE6/RpIqKgIMqVS6bkL78YPLSkeHoaINWqVcIrfA4OOnGpJCI0\n5M6dTuIrGIt0kEa9K29enW/ehAn6G/kqFRUsSO7u5O1NixYl8SZlZPbdUgAAIABJREFUZtKz\nImSrUetDwlE9ADs75MuHGjXQt6/SwwQWi0oldfbuwgWUKwcvL/TogV690KwZChWCuzv+9z8M\nG4a8eeHkBCcnNG0q5bFVj+XLhc3dnz3DL79oXgcGondvFCwIOzsULYqhQwUi19esiapVlXaa\nSIJx4uzZyYKQJEO2gDQ2hjxX1qzReC3XIyYG06Zp3/r6irbwww8WHl/h7FmlJW1t4eenc/xp\n+nScOYNevVCxIipVQt++uHQJL1/iyRMcP44RI9L6WKuFYm5NbAFktBnhu3dSZpd6Wa1apdSR\nl2Vy/bpSQ4SEe5a4ayONhHlgrlxERCdOCKxb58xJd+7oN/X4scC2mYuLaPsuLprpb/Hi8iOa\nMiVFd0/CNFdw4GJZWbPqNDtqlECZ1q01gTItmHnzFN2pypUFfOc8fkxLl9KMGbRihf6SRTqD\nZ4RMeiJXLt0gFLqo1Tpv9+1Dx446KaGh2LMHK1Zgxw6ZI12WzNixwtMUQdRqjBghf5YfkDrV\n9/493r1Dt24CnkY+fEC3bvqfjIcHbt/GL7+gSBE4OEClgr09SpcWDY00Zoxm+qtktifxBVGC\nxOwtORLRET5/Rlyc5nVkJJo0wZAhKFcO2bIhc2bUrImVK7FrF+z+c5AVHY358+HlBVdX5M+P\nb75JGjQsHVOggEyBiRPx8iVu3NCJXBUdjQEDUKIEhg7FhAkYOBDFimHsWP0vCqMEc2tiCyCj\nzQiJ6OFDmQOCele9eprzcXPmUJYs2nQnJxo/Pv24tzcVYWEybpAFr+nT5VuWmI3Z2tLmzVLt\nJzdgiYykRo0ESiY9RJhw+fpqj/rJbuB17Kj0Rt27RwMGUNmy5O5OTZvS2rXa78L48YpuWqdO\n+q5Ek165c2ta27xZZ+JoY0O9etHnz/qfWvL9Vxsb+v13pcMxGx8+kJOT1G0aMYKI6OJFmjCB\nBg6kcePoxAnq1Uu48I8/mns8wqTnGSErQnkyoCI0LgBPhQrC6SNHmns8puHjR5o1ixo0kHo0\nS1zdugm0efEi9etHXl5UvTr5+pKPj2j1GjVo4kSp9les0DYbE0MXL1LHjqKFa9Wizp2pTRsa\nNYouXdIRacgQ0VoqFfXoQX5+NHIkjRxJa9dSWJjo7fL3F4gB0qSJ1jhj/35q1ozc3ChrVqpa\nVcADgLc3hYXR2LGi8vTrR0T055/Cf9uaNdNxgCA2Ljs7unfP2O9EmtG7t9RnP2CAgPsGscve\nXtgKOTqafvuNatSgnDmpSBHq2pWuXUvLIbIitGwyoCKcMcOYJ73YZWubfkK9GM39+6K+WhRe\nPXtqW7txg/r10z8SAJCNjehcc9cumjRJqv2VKzWNr1tHefPKy1OqFL1+LTDSFy/I1VWgvKMj\nzZhBbm46iTlz0sGDAo38/bdwJCyAxowRvsPR0bRxI/XqRU2aUP/+tGePZpL64QMVKSLQTq5c\n9OIFxcdLnSBMPJIvfSZo1ChjvxZpxq1bUp+lQj9Qidfmzfrth4YKzJft7GjNmjQbIitCyyYD\nKsIFC1L0yE9+LVli7iGliOhoKlEipfdg7lxNa0uXyri+SupgBSBbW5ozh4jojz+kap09S0S0\nbJkBIjVtKjze69f1x1u4MK1bJ7w+5+QkYKrzww+inWbLZnCY3GfP9D0deXnRgwdEcgpi6FBN\nC/fuSRVr3NgwecxD5crC0js7G7aRAdC4cfqN+/oKl3RwoEeP0mZ86VkRchgmq8Sk4SAA4M0b\nEzeYthw4kFKnxFmzont3ALhyBcOHy9gr1K6NevVw7Rri41G2LHr3RtmyAODjA2dnREYK13r0\nCOXLG+bD/PBhPHkCDw/99CpVNCENbtyAWo3ixREcjOnTNf679YiKwsyZ2LJFJ1Ei2lFYGJ4+\nRalSBshZtChOnEBAAK5fh1qNihVRoYImS/qblZgr7Us9+cdBhL17sW0bnj5FliyoXRuDBiFv\nXgNkNj1r1+oHlwBgY4OuXbF6tWFNHT6M2bO1byMisGGDcMmYGKxZo1PYKmFFaJVUrQoPDzx5\nYrIGXV1N1pQ5uHHDgMJ2dlpTxgScnLBhg+YxunSpvNXevXs4flwg3d5eKvzF8uXIkQOfPxsg\nKoDbtwUUIYCgINy/jxcv8PYt5syRafbkSf0UvTugR2ysYUImUKqUgPqU/mYl5hYrBicnYUUO\noEwZnbcxMejSBTt3alOOHcPixdixAw0bGiazKalYEdev4+efsW8fvnyBnR3q1MGkSbh71+Cm\n7t9HbKw2mFZgoOjfK0hGJrMaWBFaE2/fYtYs7N2L58/h6goHB4HD9SqVzL9rQW7eBJHlRv6U\nsOAHUKYM4uMRHw93d3h7o3t3bNiAnTvx9ClcXNCgAcaM0T5qr183vru3b6W8HVy7hp9+km9c\nD0GNNW8exo83QF0FB+PAAdSvj8yZNSklS+LUKeHCDg4oVsxgOcWoVAlubggOFs5t1EjzInNm\ndOmCtWsFytjYoE8fnZRJk3S0YAKfPqF9ezx6ZNaz+e7u2LwZ8fEICUHmzJqz8LduGdxObCyC\ng7UzXEPny1aIuddmLYAMskf46BHly6e/Q2BrSzlykJMTZc0qY8Ate9WpY3YHpEazYoXUyE6e\nVNqOWi3vvQygKlWEq3/8mKJPQPC6fVu/lw0bjGwqRw6t5er586L7Vl26GPMRSLB0qXBHVavq\nHKUPDqZy5fTLqFQ0a5ZOa1FRlDWr6BhnzjSx8Cni4UNhj3yyl62tjhu20FBR0yakndV3et4j\n5AP1VkOvXgJBS+PjoVIhKAhNm4quKyWlYEHRrHPn4OWVrgKEh4TgxQsZj3IJtGkjGhu1SBHU\nrq20x6lTFR1X79ZNIPHjR5w+jXz5lPalhCpVtJttiST6cjOUT58wcCDWrAGAWrWEdyvd3bFg\ngZHtizFkCGbM0HeGV68e/vpLe5QegKsrLl3CxIkoXhwAnJ3RqBEOHsSPP+pUfPBAah342jUT\nCp4yXrxAvXqKAtAnp04dHTds2bLhm2+ES9rYoHdvY7rIYJhbE1sAGWFGeOeO1P/HhQuVRvgs\nW1amQOfO5h4qEdHmzVS+vEaiTJmoSxfhmHlJWbtWYIrj6EgnTijtNChI6m934lW3rr637vh4\nmjxZG4/CuCu58DlyaKw9Q0Jo/Xr66SeaOJFWr05RLwC5umrl37KFqlTRdO3mRkOHUnCwQR+U\nAbx6RUuX0tixNHWqxnu4BHoBltVq2riRvL0pb16ZKXvz5qklv8H07WvMpw6QnZ3Gwjgpb99S\nyZIChWfPTrMBpecZobXvEcbExEybNi08uVerJHz48AGA2qJX0u/dk8q9dEnG+CEBJyf5XcBd\nuxAert1KSmWI8OgRXr9GgQIoUUIj3eTJmDpVWyYiAlu24NgxnDuHEiVEm+rWDRER+N//EBAA\nItjZoWFDzJ6NKlWUCnPokMzs09UVgwZh4kSdP+sAxo/HnDlKewFQoYK+fUODBvjhByxciNOn\nERMDFxe0aYOpU1GkCP78EwMGIDTUgPal+fgRly6hfn0A6NwZnTsjIgKRkXB1Td094gIFMGSI\n0sJJJYmPR9eu2LZNUUVBwyLzsHevfBkieHri8WNtiqsrVq1CnTr6JXPnxpUrmDEDW7bg5UvY\n26N2bYwdi+bNTSmz5WJuTWwAqTGuOYqfQJ6enqk6utRlyxap/5VduyqaC1SpoijQXML5rzQZ\nU9IYde7u9OefdOuWqEdxsSl9fDzNmaNzxrxMGTp61GB5pk+XuiujRmmdnCXl+XOls/HEa+9e\nOnuWxo6l7t3p++/p8GHtBCg2lj5+1DZ+8qQxvuJkL8uKf2tQEOMUBmI0GdHRSiW+e5cOHKAp\nU+jnn2nTJn2/c4KYKTATzwhNQ8mSJf/++2/TzsxGjhz5+fNn6Rnh2rVrQ0JCChUqZMJ+05py\n5aRyM2VS1EjWrOjUCXv2yBTTm+8YQng41q/HkSMIDka+fGjVCp07a43Ak7Jsmf784OlTfPst\nmjUTNYI7cQKvXyN/fv30ESOwdKlOyoMH8PHB4cNo0MAA4bNnl8otVUo4ONHhw4pm44m4uqJh\nQ2TJIvCnH4CdHXLk0L6dNEnqPIbRWNZhmWXLlJYcPhy1aqWmKMpxcECmTPJ+31UqFCuGcuWk\nJnYXL8LPDzdvQq1G+fLo31/HczeTgLk1sWG8f//excUljcXOCHuEJB4ByM1NqVeVbNno7Vsp\nd5kAuboaHRTnyRMBn9ReXvThg37J9+9F/WlJz66S7y1dvSpq/ViqlP5WkzQSzk1UKgoIEK41\ndaoB8xWVivz9KTSUTp2iw4e1EecFuXzZYIckSi4bG0WzDkHi4+n+fTpxQsoln1pNQUEUFGTY\nzRcjMlLpuOzstE7s0gUtWsgLXby4TCMzZgh8CUaPTpMB6JOeZ4QWZjWaM2fOkSNHmlsKy2T9\neoHZkJMTFi1S6lUlLAyjRmHnTqm9miFDdCz5FBMfj3bt8Pff+ulXrggYtR08KBCrKAHp2VXy\nyeqOHaKHrAICcP++VGt6lC2Lzp2Fs7p1Q8mSwllJJ3DSuLhgyxZcuIDcudGgAZo2RbFiqFtX\nR8h79zB0KKpXR5EiqFnTmBOhsqjVRgZsXrsWRYqgbFl4e6N4cZQujQMHdApERWHSJOTLhwIF\nUKAA8ubFzz8rsmWWllYhcXHw9cWVKynqzpRMnAhbW5kyKhXy50fJkujdW+AE6+HDmDBB4Esw\nfz6qVsXs2Xj3zmTSWjrm1sQGExgYmMZiW/CMMDiYhg6lMmWocGGqW5eWLqVRo8jDg+zsKH9+\n6t6d7t+n+/cNmA7Y2Wn2oPz99T1mAtSmDcXEGCfpgQNS3T58qFNYejdO7HJ0FIilIL09+tdf\nho3iyxdq106/kW++oYgI0Sr37yuatxUqREFBwvE/smfX3B8/P7K3T9FsT+F17pxht4WI5swR\naMfm/+xdZXwU19c+uzFCgBAIhAbXBC3uxd2Ku1PciwT3trhbijul2B+3EDS4NUBwQggWARJI\niD/vh93uZid37syskGzfPL/zIZk5c2Vm9p65957zHDX27NEqxMSgVi2GTs2apm5pcTi7U0rX\nribVZWasXKmg6TY2WLNGf21cnDQ1u4sLzpz5br1JyzNC6zOE3x/WaggPH2aMi2XLChe2wsOV\nraDp3AkePcKwYShfHp6eaNUKf/1lymLWjBm8OrdsMVDmuz+IxSEMHsyot39/XlHnzhnTlytX\nMGMGBgzAjBm4dk1av3t3Xhvs7dG9O4KCUKGCqE6LFrhxQ9RLSL5UqABnZ14aB43cvavshrx+\nzfhq0kiOHNqvBE6SdhM9/PmvlkBSusRFR+PkSXh7Y9cuBAeb1BJj0Lq1gtar1bh9W3shP6eX\nTjJn/m69SjeE1g2rNITv3olulzVvLlSuUUPBj82I6YAMeHnx6ly71kD52jWe8urVDOqQunUR\nFcWo9/ffRcvJkIExg0xIwObNaNoURYqgUCFUq4axY3H8uNEbowAQHY0uXQyqVqnQsyfu3MG9\ne9pmc5IIEsHODp07K3iGYvK//wHATz/xdLJmVTzt509sNGmefvxRVKFUKSNvbEQEjhzBypXS\n4a86yZ3boIStW+Hqqj9rY4MBA9gvkqUQEYF69RQ8wgEDACAujp1qiymTJ3+frqRlQ2hNXqPp\nUIChQ0W3y44dow8fyM1Nf2ThQqpTR4JwUwMbG9HNLtNQqJCCs5UrU/36bN7qpk1p8GBq3pxW\nrqSLF+nzZypcmDp2pG7dGBsusbG0fr1opcOGUebMBke+faOff6bTp/VHXrygK1do4UIqXJh2\n7qTKlbXHHz2i1avp6lX69o08PKh7d2rdWrQiR0fauZO8vOjYMQoNJTc3at7cwM/340dat070\nciKKjzcPJYqjIxFRcDBPZ+hQth8vB0FBvLOvXhGRQSycAM+e0Zo15ONDERGUJw+1aUMtW0rH\nLHbrRn/9pXeatbGhLFmkdzeTxxHu2kW9ehlssSUm0p9/UkgIHTggUY7ZkCULnT5Nhw/TkSMU\nFEROThJ1a4hJX76kjx/lVmEcec1/DKltia0AVjkjTEkrmvLLPznOnkXhwtIfj23bWqi9794h\nY0Z2ne7uQioWACEhqFJFqFmjhjJmk507eX1N6ZM5ejRP39kZL14AwI4djJXAzp2NnzWePCn9\nZAoWlPX1zw8rzJ8fS5eibFmeDme/UwzTp/MK3LABAFxcRBVSLvk2bsybliUliS4jd+2KQoV4\njVm9WltIQgLvN+TjY9SDNB1Hj0o84HLlAODWLVlvg0aqVfs+bU/LM0Ir8xpNh1zwI5BSEmLW\nrUuPH9PFi7RxI+3cSbNnM6LeihShlSvN2chkyJWLFi1iHLe1pT//ZHh75shBly/T339Tnz7U\ntCn160f79tH588pC3G7c4J0VsLfExEhMyyIi6Lff6NEj6t2bMbvevZv69lUWMqgDN8yViKho\nUbkT9fbtGb7DOrx6RaNG8arz9NTOGpn48oX8/OjiRXr+nIKD9dktxHhcNdAkCOIw+KT0/Dx5\nkoYPF9VfvVo0B8ju3XTsGG3ZQtmzM87Wq0f9+2v/vnWLQc2rg8Df9Tth8WLq2FFCR/MecNJF\npkSBAka36L+D1LbEVgCrnBHmz8/7Brx+XbqEc+fQtKnWcaJgQYwfj8+fLd3q/ftRooS+mVWq\n4MIFC1YnlrVbI7t2GSjfuyf9bZ03L4YP5ykULYo7dxS3U/L7fssWbNsm3byiRfHhA65fR86c\nEppivi22tnpvjOT4/Bn9+gmpVp2c0LMn3r7F8uW8umbOBIBDhxTMYYhgY4MPH9i3i8mpqZMl\nSwAgPBz9++sXIVxcMGmSgXvq//7HKyQVnEs5u9nJ5ddfsWyZRLCvQA4c+D49SMszwnRDKA2r\nNIQjRoi+905O8PZGhQqwtYWtLcqVw5o1bPovDcwS2KwEwcG4efN75HRi+vTrRODwKWe1KUMG\nUd4CneTIgffvlbUzMRFFiogWOHSoVofjYOjmhlGj8OmTtsAVKySYBziJilL6WkVH8zxa3d0x\nezavrjlztOWMHavMf1ksuEXMiutuhe4+xMTgwQM8foyEBGEhFy/yChk2TNkTNBUhIaZmSROT\ndu2+WyfSDaF1wyoN4adPcHZmv/rMQatNG+FgcOgQWrZE/vwoWBBt2uDkyVTqiQXx7Jlo4F2R\nIsJvg927pUeVfPlQqZK02vjxipvq48NObdGvn14nPh5z5yJ3bu2pLFkwdCjev0dEhEFR586Z\nFGjh4CBsGyfyQSN8r+SDB5GYiMmTDTqoUqF4cbRowbvwr7/Y90rSZGg+Hfj49g1ZsoiWsH+/\ndAmJifjnH5w+jRs3THIqBoAdOyS6ZMQTVanQoYPRgb9GIN0QWjes0hACePzYgJSaCPb2Qj/9\n5LJqlfbCpCQMGmSe8TvNg7ng5ODAiCDkBxVopH9/3g3WSYUKePkSR47g+HEFs8OLFw2+Ydzc\nsGIFe7oeHIxXrxARgdevERsrPNu4seIxUyCCMiVzx9rYiAYwFCiAb98weTL7bN68vGLFFvjL\nlZNoj7OzLMskZuCrVuUtoGiwb5+B+5Kbm0Gwu2LwvzUqVzbyQdrZ4cYNI5pz/TqGDkXdumjc\nGFOmIDBQ1lXphtC6YU2G8NMn/Pknhg/HiBHYtAmRkfD1xaRJGDIEmzcjKoo3aFWooC1k82ZR\nne+1nfA9sW2b3mFWpULNmowo+MREadKWbNkQGCjt1kdkMGVRq9Ghg4J14MBAnDsHf3/Gap4O\nJ0+iWjXtJCFDBrRpY0DNIxkvLzl4CsD3UNbInj1wcxMezJoV167h/XtZeRwFolJhxgz2d8C6\nddKXS+an1GDaNOEacp06uHRJYul+2zb2Gq9uEVgpjo860YhOOtNnB4opTf/Mp3GxlOyWVatm\n/ONs1Qpbt2L8eEyahL178e4dVq1Cv37o3RsLF+Lt25SNmThR2DtHR9HZeXKkG0LrhtUYwoMH\nkTWrwRuaI4cwnxBn8ydDBq0O5wOzYcPv363vg5cvcesWQkPZZyW5mz09ceuWVrlPH8XDUcmS\n+PrVPB3580/GKJw5s3b+lJAgvQ/HX2ZLyb2Skio9pfzzD96/x5gx8PBA1qwoXBhDhyIoCJCx\n7MeRqVMZdyAxER07Slz45o3c+/nqFZYtw5gxmDEDI0fqrb5Khbx5UbEiatTAL7/oU+FGRYnG\nstvbyzXAyTFzJqOo6nT5K/37RVOnjvF3UPA2CJ69oyM2b07emC1b2MXY2eH+fYmOpBtC64Z1\nGMIbN9hzlowZDaYDAksp0ASQlMRzNsiRI7X6l+pIOaHRiacnvn7Fpk3o3RsdOuDXXzFmjGhY\npJj89pu2ouBgLF2KYcMwfjwOHFC2vRQcLMowV7Kkdv6k20Rkio0Nli/nhRJqwv6So1cvia5l\nyqR1yHzzBv/7H/buhb8/Pn/Gnj0YNcqkYdzenjlpQVISbyk7Z07ptU0NYmPx8aP2vnH8zzTy\n668AcOQIT0e3/yATly+Lfrj8Sou0fzEpaM0lajV8fXXtKVVKVLF/f4m+pBtC64Z1GEJOytxe\nvfRqFSuKqrm6IjxcYhHQxcVCzQ8Lw/r1GDcOU6bgyBHeul9qYdgw0bsydiyDjaBNG2W2UEMk\ntmSJcJ2wWDHMm4cZM7BwIa5ckWjk0qW8KjRzVk6AR9myuHkTAPz82J9DZcrA2xu7dxuYH39/\nibXNMWMQFobOnQ3mG+ZKEbVtG/tW3LwpOrVlziMFOH0atWtr10WzZEHz5rIavH49Vq/mKXh5\nyXjVkoGzuuBCH+PJFmSUp4wi+Xfo+/qVp1WmjERf0g2hdcM6DCHHxS1/fq3Oq1e8GSERypXD\nt288ZkbLkFBs2iTcuCpRwjyJ7j9/xtatmDwZs2bhxAm58wAmQkLY7C3lywt9knTSu7fcVI8a\n4ZOeaKRWLR5J8tChvGs1kZEhIewo03z50Lw53N2RMydq1cLEiShdWn/W1tZga9PWFkOG6APv\n9u5FpkzsSps2xefPKF/ebMOyQBYsEL0by5YxbESTJgyiIgHWrjXSTpcoIRHQqXSbkO+EHERc\nbyJziYODZlIcGsrTSrlmLkC6IbRuWIEh5O/8ZMmiVePnHNLIkiVYsED0rLe32dt++DC77blz\n6+O9jMOuXcIQklKl9OvEV65g6FDUr4+mTTF9Ol6/li7w7Vu0b68fW+3t0b8/VqwQvVtOTvj6\nFRcuYNUq5MljtnGpVCmGL6gGfBI4ndN/UJAsB4uWLXH3Lg4exPjxbIVOnQxuzu+/o0kTFC4M\nd3cUKoQWLbBjBxITebfIdNm4kffIrlxB584oUAC5cqFOHWzYIP0xFBhoUsyevz/vt3j2rPRr\nlhx8h9DXZL63ii/R0QASE0VjskiG/0C6IbRuWIEhBHi5x3LmRM2aKFhQ1hJK7dqIjUWDBoxT\nP/9siSVLTtoB3baZETh9ms2rqbGvKWO3M2WS6xIbHo6LF+Hnp81nxXeN0SWtMqMhJBLNpb51\nK+8qDRUqgIAAub6jv/2G2FiDDAwCkZOMhPk2mUXUagYlLICXL7FtG7y9cfy4YnLUuXNNalJI\niOgHZ82aitkpOG9XNgrXLo1aWrJn17Xnl19Etdavl+hLuiG0bliHIeQn1pMvhQsDQFwc5s7V\nb3x5eGDpUktYwbAwXltMueUpKbl1Irad6uCAx48VV9S+Pa8LJ05o1RStkUpKx47sxnz9Kmpx\nW7bUq/XoIbeifPkkciZPmiR6Z27cwNq1WLFCgu9PIMyvNbHd1pQ5JiMj0b27QSE5cgjZ8vjo\n29f455I1KxIT8fUrmjQRnqpUCe/eKWiGBn5+ovPLMSRFZGAuScba8P49eyOgQQPp4SHdEFo3\nrMMQvn7N82uULxr2eh2+frVo+rUnTxS0RT4iInjLU2J+lWQUddavv/K6oNvpVMT+KCn16om2\n59o1xgTuxx8N4t7c3RXUxWF3I0KfPow2PH0qHWUvJiNHCuPoK1bEP/+gZ0+DZ6pWo39/IS9K\nUhJ79qlSyeKC0WDAAOOfy8CB+pacOIGhQ9G2LX75BXv3Gv8ZySSoq0GX9OETFpVcuQSb0u/e\noUsXvUddlizw8jKgaRVDuiG0bliHIQTw6JE006WkjBjxPZv8+TNvvbZZMyOLffnSyN5XqqS4\nrsuXRUsrUUKvtmyZOUenzp15TXr/HpMno1o1FCmCBg2wYoVwnDIjb+WYMcLaw8MlGGH48uAB\nYmNx7BgWLsSSJbh8Wb+ceP8+Fi2ClxeWLsWjR4yOc5i7CxSQuyy5apWRLS9c2FIEuSdOoHFj\nODvDQR1Xhu4toLEGAfWWk7p18fQps0lfvuDOHfj7K+BoS8uGMD0x738IHh50+TI9fEh375Ja\nTc+f05QpykrIlIl+/dUyjWPD2Zlq1qQLF9hnmzUzstgcOcjGRp+UVT742auYqF6d+vWjDRuE\nx+3tac0a/b8//aS4ZA6aNOGddXOjOXN4CrlyUWCgrIocHCQSNpcvT0ePUkwMFS1KpUuTSkWL\nF9Pr17IKT4nOnalECSKipk2paVPh2ZIlqWRJ3uVHj4qeCgykhw8lLtegSxeaNo3Cw6U1dXBw\noC5daP58ypFDwVXy0bgxNW6s+dOOLkXSYTU9a0GPH9PTpxQXZ86abGxo5UrKk4eSkqhUKU6+\n7EyZqGxZc9acykhtS2wFsJoZoQBr1ij7+nNwwLx537+ZV6+yJyhlyki7uXNQt65oRzlBby1a\nGFPXw4fw9DQoJ18+RgKpevXM85leqJCpJM78KAvBS8E56+pqwEBWqhSuXDE+UqJlS1PpdTj5\nN4hw5ozccs6c4VEwpRQjFhJMQliYmfecdcJc6TYT0vKMMD0x738XxYrxzpYtSyVLkkqlPxIb\nS15eNGgQAZZuWnJUqULHjgk/PVu2pFOnGPl45WPuXPblnp7Urp3oVZ06Ka7o7l2qWpUePTI4\nGBREly4JNXfsoB9/VFx+SsTEMLImK8KkSeTmJq2mVktMB8MjSYNwAAAgAElEQVTCDFIN379P\n9etTcDDvkn79qG9fWrSIzp+nYcOoalWqXJl++YUuX6ZDh8jJSV4H/kVAAO3cSTt2kL8/EUmk\nZeafff+eli+nIUNo5Eh6/55u3KCRI6l0acqXj5ydJZpx4wbdu6es5SZhxgx68oSnUL8+LVpE\n7dsrK9benjw96cwZba7k/1dIbUtsBbC+GWFSEvbtQ/v27AACIri4wMdHdHdu9erv3+T4eJw/\nj3XrsHUrnjwxT5k+PkJ/xQYNEByM4GC2a2XTpsZE3Itx9djaMvaxYmIwb54Ztuju3jX15gQE\nCIO1CxZEmTLaV6ZYMV48Dl/4gRl16piHVfX5c9SqZVBy1aq8CNicOQ2m0dHR+P13lCkDJyfk\nzIny5YVz3zx59Dw+Hz/yiJs0sn27GTolF5xwFg8PPHgAAI8eKaNXT+6JlC2backy2EjLM8J0\nQygNKzOEMTFo1Yr3xqvV2LuX50FftGhq98FsiIvDmTNYsQLr1sHfH2/eYPp0NGiAChWQL5/+\nO8HZGZMmGbMS++gR7063bs24pHt3Iw1Mcjl+3PR7AwA3b2LDBmzYoM/Gk5SEuDg8fGh82yQ5\nWSRJKTX48gVr1qBrVzRrhmHDDBJjhYSwP2Xc3ETJMJNTQXz6JJ2qiQguLgbc3D178pS/nyH8\n/JnXDh2NFD8JpEZsbVG3rnBZXyfLl5u34emG0LphZYZw7FiJt1+tRlAQSpTg6WhixVMDISFY\nsAAdOqBVK4wbh3v3zFby6dMMXoxGjXDnDp4+xYgRKFMGhQqhVi0sWybLHRxSDMuUIswuIUHu\nZzrfnNSubdmMqpLJpDgMIxoTwjlrZ4ePHyUacO8e8uUTXti9u3ZWxwlZ6dFDSLdtb6/f+374\nEMuX8zgcBDJunL5JGzbwNG/ftsyTSImYGN7LUbw4IPWBpnvDfHzw5InoulGmTPj82YwNTzeE\n1g1rMoTR0bIG2k2bJHLnhIWlSvNPnRKOoWo1pk0zQ8lv34qysVarxuDJLF8e4eHSxZ4+LXGn\n1WqDZcwPH3jKuXNj6VIsXYqzZ6WT6o0Ygf37ceKErHYqha+vRO38SMTjxyWcTVJ6EiUHhxZg\n4kSAm/jJ3R0Azp/H7Nnw8sLatdpZXXQ0evRQzCBaubK+VZ8+IXt2tlqFCoopY0wCx5JrGPYP\nHpTuW9OmOH9ewoPr4EEztjrdEFo3rMkQ3rgh6/e9YAGaNhU9mz379/1ZaxEYKGrEDXOiGQNm\nUje+dOyIt28RFMRz0QwLEyZuTSkTJuj1o6J4mmXL6jUTEuQmHre3x5AhPNqDf/7BlCno3Bl9\n+2LDBrx6hcmTUbEiChVC1aqYM4fx3f/5s0S/OFSlGm6iDh14l586xXtYa9eKXpgxI6KiRAm+\niaBWs1/eLl0UvwCUYpfgyBHG/m7OnOYhiFcAMSY9GxtthhFOQKVG7Oxkpb8yq7tAuiG0bliT\nIbx0Sdbve/NmXjrU4cNTpe2c9S4PD1MLN4XYJUsWDB4suprXu7fE5e3bG+hzdqeGDjXQ/PBB\ngbtD48YMA5CUBC8v4TQo5UpYgQJ6GlINwsLQsCGvuo0bRb1ptm4FgEmTeJcLqhOAvxvn58cL\n2GcmCrtzx8hHX6eOsCh/f3TurJ0a5s2LoUPZCREtjpTP1cEBmzZpzwYGSnSsZk1Z/VfETSeF\ndENo3bAmQ/j2rfTqj60tgoORlIS2bRlnS5TQDvkHDqBuXWTOjAwZUK4cli0zNXhNCnxSLhMX\na03nffbwYLchMlJiz6lHDwP9v/9mqzk64tkzYeHFiyto4b59wsuXL5d7beXKWjuakIBJkyT8\nWkuVQlwcbt3Sp2vXvVm63Th/f9G9pxo1JB5Wu3a82nPk4CUnatuWUSDHm5QvixdLNDU14eeH\n/v1RvTpq1cKYMUKeXE6gYc6cstaIbWx4Gb+UI90QWjesyRBCRtj2+PFazYQEzJ+v341xdsaw\nYdplsjFjGBc2aGBSiLsUkme/SymvXplUuCkEkjoZNIhd+MePvGTGy5YJ9efNExqJrFlx7Bij\nZOa3ipgILG5iotBQ8eXqVUBGHvbSpfHyJW7fFrpb5cyJQ4f0tb96xXZednHB/ftanXfvMGUK\natZE6dJo1gzr12s9gPj0rRphrtw6OOD0aUyYgB9/RL58qFgRM2bg40dMmGDM4/b0VJy5IpXx\n7RuuXYOvL4KCcP++6JeITFpxwQKFyUg3hNYNKzOEAQGie/p2dhg/nhEr9+YNXr3SswIfPy76\n25g503INb9FCtNoMGUw1wZLeH3Ika1Y2dfKpU6LJjF1d2Wuqjx5hyhS0bo02bdChAwYOxPjx\n2LNHmGhQ0is1udStq7/w82dMmaKsd2vX4vFj0eBSGxv07Ys9exAXh8BAZMvG0HFxwcuXiI/H\n8OGMQdjBAW3b6me9ly8z3tNq1fD5M/z85D6O5P9my4Zly5Ajh1AtXz5MnmzM43Z3R2ioSW/d\n90NsLCZPNvBQql4d69YJfZZUKkycKItzqk4ds3/1phtC64aVGUIAz5+jTRv9JMXVFW3bYtMm\ng6goDjjTkLx5Ldfq4cNFq+3QwQzlDxxozGgokOSZdOLjcfYsz6Ule3ZcvMhr0o4dQr+PAgX0\nIX0aDBkit226sMXLl43JRLJiBZYs4SnoEjhwUn4VKybqyZJ86zkiQrSF3brJfVhdumDLFowc\niREjsGEDQkNFE2WUKmVkxvmxY01+7b4PmMnAMmfGpUtYuxY9e6JjR0yeDH9/ADh8WFbnW7YU\nTQBtFNINoXXD+gyhBl++4MEDWZnXBeDTGEZEWKCtiI5GzpzsClUqoW0wDklJWL6cl4NJjnz6\npC3t5El2YjaNODhg4kR8+AAAz59j5EiUL4+iRdGkCdav1262njnDXrvKlk2YuG7bNlSsKD2U\naza0QkIkwvjE5NQpeHnxFFat0rbHuOQSNjb69W2OX6hajXfvkJCAuXMlohWrVze4S3xPSQ73\nLEc8Pc3w4lkcnKjPWrUY+l+/CmfTnLu2YgWuXTNLM9MNoXUjrRvC+Hhs24YOHVC5Mpo3x8KF\nxofBRkYiIQEeHrzfRmSkWVuvBT+CWzL5tXwEBLBD3DJlEt1S0UmBAtpCzp3jbQpqpG1bHDiA\nvXsZnp+1a+PrV57jnm4bNzm2bOFV5+KifTKzZhkz4js7o25dFCrE09G5EPKZuDmycaO2BH4a\naV0246dPeWqCpIySETJ58xo8tQwZ4Okp8Xnh7Gy2F8+C4KSxV6m0n2MCbNqk7MlVr46XL01s\nZlo2hOmk21aOiAiqU4d69KC//6br1+noURo7lkqXpvv3RS+JjaWtW6lXL2renAYOpKNH6cMH\nGjyYcuakLFnI3p5evhS9Nm9eypzZEv3g1Cl5VhE8PenCBapQQX9EpaJy5WjfPho+XOLa0aO1\nf4wZQ/HxEsr791ObNtShA0VFCU+dP0+jR5Ofn+i1vr6Mg82akaMjW1+lov37tU+GUywHERHk\n60svXogqqNVUo4b2b1dXY6og0ufb4ucO0jF9FypEuXKJqglurGTWrdevqXBh2rSJFiyg3bvp\n9WsKCKCnT0XvKknxdKcVBAWJngLYZ3v3pp07KU8euVX4+VH9+vTlizHNswqktiW2AqTpGWGn\nTuwvuMKF2XvdgYEMvw75JNCzZ1uoHxs38qqdM8f4kpOS4OeHNWuwdi2uXtUH240bJz2rSy6e\nnlo3ozdvlH1MM4WTCor+jUlPCbFt1DlzkJCA58/x+LEsjsnkEwb5m2etWml9hZgbUnKkYEFt\nR+bM4aklj0//7Tde469f12vu3CmrDclJRzXgJG/q29f4F+/7gc8IHhAgemF8PK5fR5kycp/f\nH3+Y0sy0PCNMN4TSSLuGMDiYN4zt3i3UT0hA2bJGjmFEaNTIvJvnyfHgAa/m06eNLPbePWFU\nRrlyuH+ft0clOYDevGn8LUwuHFtYsyajL1evsjc4PT0xcaLejVOS6cYU+fNPafo0jqhUWhLX\np09Fv0IqVDDo9evXvAJHjdJrRkQwXEZTSrt2wht7+zZ7sTdTJrH07GkM8+aJ9jZHDrajc3IM\nHiz3+dWubUoz07IhTF8atWZcu8bLHXjjhvDIiRN0967iWuztqWJFWrmSjh0je3vFl8tAQgId\nOCBadsWKVK+eMcW+ekX16mkz1elw5w7Vq0eTJikrys2NOnfW/u3iYkxjUqJyZdFTLVowDo4a\nxc4T9+gR/fEHffyo/Td5gkCzw9ub2rUzfoUM0F5bpAj9/jtDIUsWWr+eiOjjRzpyhLZsof37\neQU+f25w7caN0m9oSAhdu0bjx1PHjtSvH23dSsWL0759lD27gdoPP9CRI1SkiIxepTq6dxd9\nKbt1Ixsbicu7dZNbUUiIglZZF1LbElsB0u6MkBNwQIQhQ4T6fNorMRk2zKKdSEriLbUVL258\nKP0vv5g6AdJI9uy4fNmgwRx/UZmiUuH8efbUytOTkbHv3Tvz9MVEMdHnlgh+fvpO7dunX6Gw\nt0fr1nj8GPHx8PKSu1qfMq7m5k3Ur8+7JOWzK1oUAQGIjMTmzRg9GmPGYMcOKwmlj47G6NHI\nmFG0t+7usrzbRo6Udbt/+smUxqblGWG6IZRG2jWE/HXORYsMlJOSULu2MUNX794W7cSBA6I1\nV6ggNx0SE/wMCTKlVCm8fy8seds2U4tt3BgArl8X7tg2a4Y3bxAWJvT8Ndd6rImiaFeVKeXL\nC29meDieP9fvaPMdSgUydy770fOTjKWUQoWsxPIlR0KCNI0UEVaulFXa+vUSGWnIVD6NtGwI\n05dGrRnPnvHOtm1r8O/EiXT+vDG15MtnzFWysXu36Cl/f0pKMr7kDx+Mv1aHNm3IzU14sHt3\nWrxYuAqXM6fcMnPmpNWriYgqVSJ/f7p2jTZvph076J9/qEIFqlSJXF0pa1YqUoQWL9Y6Q2bJ\nYmI/zIMMGUwt4fZtoW9qtmxUqBA5OBAR3bunXRqVg6xZqU8f9ql580jNGtuYB4noxQvatUtu\nvcYhJMQ8L6Qe27bR2bPSauvXy9oQ6deP7t+nCRNE7xEReXgoaJ51IbUtsRUg7c4IOQtV9vYG\nmgEB0lFyTFGpDPLpWQD8ZEMCJmFFEIvQJ1YGBjE1HTFmSrx5g2XLMGwYJkzA4cP49k00s4Rg\nIuXoyIiMjIpi5zZq3RoJCUhMNM8E10ThsF3Ll7NnRW/p7NlyC3F2lnCh2r5dGDXOX0CxkINo\nbCxmzULu3NpafvgBU6eatM6hR7NmCm56r14Snm4xMdKkA6btkqTPCNNhGRQrJnqqVCnavJnq\n1CE3N3J3p7ZtpcOsmBg1in780egGygEniouIMmY0vuT69UVP6ULi+Jg2jUqWFD3r7k4jRlDX\nrhQYSCNHUpEilCkTFS9uoOPkRFmyCIMOv32j/v3p8GGDg/Pn05UrjFoOHqQtW0itpmnTZLXZ\ncmjalIYONUM5Tk6ip969411YqRKVLUs1a9KkSfTgATVowFPu1o1evaLdu2nWLFq0iK5epblz\nefqWiJGLj6fmzWnaNHrzRnvk3TuaPZsaNaKYGJNLf/VKgfKWLfowWCaWLGGHryZHaKiCGq0L\nqW2JrQBpd0bIoYbkp3IQSJEiWLQIJUoYuN5nzIgmTfDXXwzPDbNi3DjRdrm6SiSu4+PhQ3Y+\nv8yZ8fQp1q83YPBSqeDurr8BHh7Yvl26iiVLGCzVJUtixgxMm4atW3l5D5Kn4QVQsKCops5r\nffp0YXW5cxvJoqlUPDwQG4uEBAlXFLUaAwbA01NUIVMm/XwoOhpnzmDnTpw4gS9fACl3rsOH\njX8ZIBWiM2aMSYUzsXSpaHWmheQBkFpLSSkqFWrXxrBhBg5LOnCemU7+uzPCdEMojbRrCOPi\n0KiReca5jRsREIBNmzB6tHANztUV//uf5Trx8iXP640I5crh0iUjC/f1FfYmb149EXZEBPbt\nw4IFWLcOjx8jLAz+/vjnH7mpVq9fFzVCdnaYOhUJCRJpwHWJKcLDefYse3Z9pY8fY9Ys9OiB\nwYOxfTtiYrBypWVjBzVDqM5vNjpagqgyJASRkfrFQIFMnaotZ/58g+fu6Ijff0ebNqLF2tsj\nPNzI10AHTn5Ho98xDipUEK2uRAmTS5fp6smUkSMN8jg/fCjre8q0L5F0Q2jdSLuGEEBcHObO\n5c0mZIpY5iaN2NnhwgXLdeLIEYkYbXt7nDtnZOHfvmHPHkyZgqlTsXcvm29nzx79FFrnxy8J\nDsWjRkaMkMjZe/Mmhg3j7WXqpEMH3saSvz+GD0eNGihXTjSPkomSnFOIT0WycSOaNhUSe2qk\nVy9tePeoUYob0KCB0ifPgK8vm8fAQhuEWbLwXunklsgYvHgh8QnJly5dtA/j9m1eQ3VSt66J\nLU43hNaNNG0INeAT75tFmDT25kNwMKZP5yWp9/Q0eeAQwR9/MKpzdpZ2EipfXuKeqdX46SfR\nszY2yJdPwRNo3x4LFmDkSMyYwfssYWYKNF002ZFOnULjxjxOnJQfNCoVSpfGsGH6Nj99asxy\nroODqcmZNThzxiBMIHNmzJihzQdidri6inbHyckcFRw7JsuGiUmTJoiJkX6PidC2rT7xirFI\nN4TWDSswhJwVJXOJWo2oKEv3g59JXJNMzbx49Eh0XbFSJb3a27eYPRvVq8PVVTvRyZuXN8zp\nhPNk5PCBcaRBA4SFCbvz5o3x/Gd8yZABQ4YYuR9pY4N79wAgKAjduhm/kLtkiUnP+tMnDByo\nn0Q5OaFLFzMst3LQsKFoX5gsesbgwweT5oVDh0rryIxElEJaNoTW5zV69erVevXqubi42Nra\nqlQqlUqlVqsdHBzy5s3br1+/kP8wCRAHjx5ZvIqkJD2Ll8XAodEnhV5yMrF7tygn2Y0b9OQJ\nEdGxY+TpSVOnkp8fhYVpXUBfv6awMOny8+WjsmUZxx0dKTzc6FYTEZ05Q+3aGVDsxcdTs2aW\nyhAQE0OrV/MY/UjcxTcxkdaupSdPqEIF2rHDeBI4ftwsHxER9NNP5O1N0dHaI1FRtGsX/fyz\nRCoMUzBihDGnlCFnTnJ3N/7ynTslFEaPNo+vcNqGlRnCLl26VKtWzdfX9/Pnz4n/xgMAiIuL\nCw4O3rhxo7u7++zZs1O3kakAW1uLV2FjI2RjtAA4jvVElCmT+Wvkj63+/hQYSB06UGSkkeVv\n3kxhYcJsPh4etHSpSVwBGpw/T2fO6P/9+2+6d09ZCXZ29NNPdPYsLxJHEjY21Lcv7d+vtzEp\ncfcuDR5sqvs9P9KGjz/+YKcmu3RJS25gCbRoQdOnk0olPD5+PHXoYL5qTIkx+vRJQmHFCurV\n6zt8BKcurMkQzpgxY/fu3USUL1++oUOHnjlzJjAwMDY2NjQ09Ny5cxMmTHB3d09MTJw2bdq6\ndetSu7HfF2XKWLyK2rVNGofkoXp10VMODlS+vPlr5FOl+PjQypW88V0SEREUHKwfRurXp8uX\n6eFDKlfO+DKTQ0MtEhZGvr60fbusS0qVoocP6cIFunuXoqPpwgWqW5euXaPhw41Mv5eYSCNH\nSvQoKko6Sk0SFSsafy2HOIbDbWQ6ZsygCxeoe3cqUYJKlKDOncnXl+bNM2sdBQqInpJk3JZE\nQgJt3Up16jDyav6XkNprswqQNWtWImrbti1Hp0qVKkTk6upqxnqtYI/w0iXe7o2NDSpXVpB1\nLKU4OODate/Qj+ho0STpY8dapMa5c3n9btBAWXo/OVK7Nr58QWSk8Xnek0uhQqhcWYGnqK0t\n7OyQLx8aNcKcOTh0yMAZNTER69YZ0ww7O3TsyI7a1N1J03sqn5AlJAQLF6JzZ7Rti6lT8eAB\n7/dhxGgRH4+XL/H6teILleLbNxw7hpUrsXGjuCfz9u2ifevUSSJboXwxORdpWt4jtPySmvkQ\nERFBRMuXL+fobN68uXjx4uGyt1/i4uJmz54dxf3YCQsLI6Ik01eyLIcaNWjePPLyEu7hVKhA\nFy+SgwOp1RQWRk2b0s2bigvPk4c2buQlDTIfHB3pyBFq0UJIR9moEcXGUrNmlCEDValCffow\niD1fvKDwcMqenQoVUlBjnTq8s5GR0pnoleL8eapRg65dox49FPBqiuHFC15a+eRQqQjQ7s8F\nBVFQEJ06RUTk6krz51Pv3qRSkVpt5HOOj6c9e3gr282aGaziKkXu3HTggFym06NHqVs3iojQ\n/rt/P/3xB6nVotxKilYWP32iSZNoxw7tXqy7Ow0fTmPHWmR34sABGjzYgKG0TRtaty7FHkWX\nLrRjBx0/Lrw+Vy6aP59y5aJ+/eQuF3Cwbx9NmWJqIWkWqW2JFUClUhHRY26E17Nnz4hIpVLJ\nLHOe7EWKIkWKmKMTFsP//seeF1SqhCpVULUqBg3C9evYuhUdOkin582YET16YPFiHDtmuWS8\nYoiKwrp16N4dzZph6FB06iT8nM+aFSdPGnQ9OS2GpycOHpRbV2gob67QsiXatjXP97RAevVC\nRAQvXMS8Iunt6eKCmTO1j5of+8iX5GQ9OhkyBJ8/84IuiBvIWreunnlAEo8fy03hpJP27eUW\nHhYGDw9GCa1bIzFRbiEycfw4mxG3ShVWsEdMDCZM0HsMq9WoVAn79ukn0aZE3+teEdOQlmeE\n1mQIXVxciKhy5cocnRo1ahBR1qxZZZYZGxs7ZcqU0VxolmTr1q1rjk5YBrGxsiiZbWy0uZmm\nTOGpTZ6sYOCxMMRSyTs5aaPKNm9mjPIqFTZtklsFh0h61Srs3m3qAMIUtRpv3yI2FsuXo0YN\n5MqFH36wSEUkwwrqpHFjXLuGOXMYtkSlQtu20kU5OqJrV4NQemdnTJuGceNEeQPs7bF7N54/\nZ0dAFiig7GUcNEjxg5DPKTNkiGg5cgj5FEGQnyu5bNsmck1sLH77zSCsJ1s2LF6sjcD96y9U\nq2Yk+T4R8uUzsUfphtA8WLJkiWZyli1btqFDh548efLDhw/x8fFv3749f/78qFGj3P7Nl/P7\n77+bsV4r2CP08VEwKJ45g759eTp79qR2f/TIn1+0mePG4dMn9hSECFmyyB1Az51jp9krXRox\nMUhKQsuWRg4dfJk3T9+GqCgzsAMxxc2NF9QvR9RqVK2K48cBwMcHzZtLjKWcnUKOdOiA69eF\nSxV16uDlS2UvDIdkV6USLprY2WHNGrklJybCxUW08GbNlLWTj8BA3r3q2lXksvXr2RfoeO0A\nJCVJbIyLSefOJnYq3RCaDRMmTFBz0mURqVSqwYMHm7fSNG0Iv33DjBkSBGkCadkSo0fzFE6d\nSu1eacFPy161qsR0bdcuuRUdOSKcUTdurGccjY3FlCnmD1TXcLUAePMG1aubufAMGeDtjZMn\nce2aqY4qjRoJOX2qVDFzazUycCCSknDjBjZtwpYtvARYHKRMQJ9cfHwweDBq1kStWhg9Gg8f\nKig5NJRXcrFixrRWDNeu8eqqV89AOTAQvr64fSkqPqsIxYOtrQF7vRFZnu3scOuWiZ1KN4Tm\nRGhoaK9evfLnz29vb6/6N0LH1tbW1dW1VatWT548MXuNadcQRkUZM4LmyoX//Y83gkZEpHbH\ntLh1i9ePPHkkPm116wIREZg8GR4esLdHjhxo147hAxsTg2PHsHQpvL3ZFDbx8Th4UBYdlUzp\n1AmJifDysghldpMmWLfObMutgjWC4cPN32D6d7lYEvfuYd48eHlh/nyhsbx8mbdBqFKZlN4y\nMpLX+DJljC85JZ4949XVoYNW7coVVKyoP56NwueSVwKxJuwrVhhUoMiV1MkJu3eb3ql0Q2jd\nSLuGcNo0Y8YbFxckJIjujE2enNq90uP4cV4/8uXD8uU8hWXLAODtWxQrJjxla4stW5Q15utX\n3LiBa9cQEIATJ+DrK53HlC8zZkhQyhktajUGDjRngZ066e9DeDiOHpXwfDFa+OPtt2/o1s1A\nX6VC795aH58nT6Rn7ZUrm8RYy/SU0Yh5abuTknhL5WvXAsDFi2yrP4jWMI6OH29QQWSk3BX/\nYsXw5o1ZOpVuCK0badcQKuJs1knFigDw9q3QZ1GlwuDBWkL6tIGTJ3n9KFsW16/zFDTTvtat\n2WczZEBgoKxmfPqEfv30YX92dujZE2FhiIxE9+5G0m/a28PPj703yZdcuSRmkBkyYPFi8wQp\n6qRaNQC4ehW1aum32VI6KXfsaGpFTk5YuFDUVnXvzr6qf38A6NlTVhV37hj/Qq5hmRgi2Njg\n9m3ji2Vi1y52XcWLa11BObuhVynF4vVvvzHq8PPDjBkYOBADBrB9zlUqrev48+em9yjdEFo3\n0qghjI42crBZvBgADh8W7iyWLIlHj1K7VwZ48UKiKzVqiEYgaJx837/nBZvLCRH++pUdTlC8\nOD5/xqZNxjwBlQorV/LCoCUlUyb939mzo1UrdO2KLl3w++94/Vp0vNbVrrS6Ro1w+jR7Fpgv\nH8qVQ9++uHAB0dFGesoIZNw4xoPgpMxTq/H8udx14K1bjX8hk5IweLCwQHt7bNhgfJkcrF4t\n5NMuUgRbtiAyEgEBvD6OpQXCQ5Jp1DZuFH49qdUG31zVq+Off0zpTrohtG6kUUMYG8sb0pyc\n2A6XtWohNpYdc0AENze8f5/aHTOApMejqyvj07hCBXz4AABnz/KuleMHN2uW6OUTJsidk1eq\npA0esLNDvXo4cwYAFi9WYBtSSv78OHYMt28zosomTuRduHIlLl5ErVoK6po2jee+S//GSMTF\nGZNoMKWo1Qw3lpUreZesXy83LsAUQ6jBmTPo3h3lyqFqVQwfrszjRilCQrBhA5o1M7CImTJJ\nTH870B6D/2WmEnzxAlOnokULNG/OfrOzZjWlt2nZEFoT12g6DGBvT8WLi55t1Iju36fRoylr\nVu2R7Nlp0iQ6eZIiI2nAAHYegQ8faO5ci7TWWHh7S3B9h4VR+fK0fTt160YNGlDXrrRtG125\noqWeScl3nBz8sxrs2SN6audOiXQZOtSoQR8+0JcvFAIpbkAAACAASURBVBNDPj5Uvz4RUY4c\n0hd27Uq5c7NPvXpFZ89SuXIMThM+O3nmzFSzJp0/T+fOUa9eVL48ValC+fOL6mfLRqVLS6T+\niIigWbOoWzeys+OpyURSEh08KDzIZ4sKCJBLYl6ihJGt0qF+fdq2jW7fpitXaPly3q/QdOTI\nQbGxdOyYAeHt16+0dSvvqkz0Vf9PzZq0Z4+sd71gQZo1iw4fpg4d2G/25880bpzMllsZUtsS\nWwHS6IwQwKpVot+Ep08jIgKrV6NbNzRtiiFD9Hsjy5bxPiYLFUrVLjEQGIjOnXkrnNmzi15r\n+tJo8kVIgcgPTdbQGAjw5g1vt8/FBStWIDycN+13dGRnlPX15TXm8WOcOIFJkzBsGBYt0vrV\nf/yI2rUZym5u8PNDtWpye+rmJkutQgWJJHopY6C8vXn6Mie45ctbKr2zhRAZaUzm3XX0i/Yd\nOnrUmA63aiVatJ0dvn41ri9peUaYbgilkXYNYWIiY4lEpcKsWfDzQ65cwuMTJgBAnz6835C9\nPQ4fVhzGbHnw09iK0TEnJYmyZst0luGM7DIjC21sIBbUM24c+5JWrbSekI8fSxQ+YICyXrds\naeBwr2ne9OkAkJiII0fQuTM8PVGoEOrWxcqViIjA3bsKhmA5G5BVqiAyEn//zdMRODkCCAwU\n/W6wtxflak8uOXLgwQPpJ56mcOiQgpuvkfwUGEUZtR328zOGJYofJPT0qXF9STeE1o20awg1\n2LsXzZohTx4ULIgOHXDuHEJC2HRVRFizBr16yfo9NWhgFlcxc6FIEdGWZsjA/uoNDUWdOuxL\n5IdPcAKuGjWSFVY4aRIAvHmDNWvg5YVZs3DunLbBa9cyLIebmz71fFiYdPlMIqB374QGjwg1\na4p+T8yZI3oH5s9XMApL5sHo2RMxMQAQEsKbUh86xGiJlxdbefp0aU+ZBg3MFQXwXSFGMaiR\nEvRAcKQAvfSnUgaHbGzQrp2yzjMXB3Si2X5XjnRDaN1I64YwJWbOFH2J8+bFb7/JHdXc3dPO\n4NGvn2gzGzVi6CcliTraFCumIKnUpUuijuVnzuD8eV5EnbMzFi3ScloJ1GrUwPnzouETQ4bo\nGyBJIlu2LLvl8fH4+2/07Yuff8agQZg5E46OooWo1WwaAYhPW42Q5s0NPlnEqDvLl2dH8SQm\nYto0g144OWHOHCQlSX+R7Nsn94mnKfC5k+bQ5HNUexitaEZHu9F2bxrwlUTcdvPnV+AHx3HF\ncXc3ui/phtC6YX2GsFEj3q/n0iUFUWaaEK00gCdP2LtKNja4eJGhz4lBtLdXtly0YYPwhtnZ\nYdUq7dnTpxkedmo1XF3RvTvu3xf9qOcs9jo64vNnbfnTp0s/pYMHMWsWpk7F9u2IjGR0ITBQ\nYk+OCB4e7BQKC1K44hsnXboIV7BjYtChg1CtbFkEBfEeR3g49u2DtzcOHNA+x+ho6Rlhcoox\nK8KbN7x58yVSki2TuYzORNOmooUULWp0X9INoXXDmgzht29YsQJZs/J+D/7+WL1a7o8nR47U\n7pIep08LjUemTNi5k63MDyE4ckRZ1c+fY/JkNG+OZs0wYYJwzy8hAZcuYdIkxoK0g4O0BWJK\npkyYPRvx8fj2TWJ/VCAuLhg3Dt27o359tG6N5csRGSl3Vnf1KqPv//xjJGmAQJYv1xb44AFm\nz8aAAfj1Vxw6BF9fjB6NDh3Qvz/27GG7//CxaJFE1VmyKC4z7UBs3ty4CJeHLaVkyyaXLiNP\nHtFC7O2NdjdKN4TWDasxhD4+0vHMajU+fZKIyRKIZksnbSAyEuvXY8gQDByIlSsRGgoAgYH4\n+29s24YbN/Q/0pSBz8lFNJGNCWjf3gzWQiB9+gDAlSsm8ZHmz8/YL2TKunXsrvXubYa+FCuG\nxESMHCk0qxUqSEwBJSHpMurmZlL5qYvYWMZSZcOG+FRcti9vcilZEkuXSnxuuIqQdxNBpUJc\nnHEdSTeE1g3rMIQPHsgi7NL0Qr47vJgjStpAaCjatTMYWEuU0E5rOIHwRPDxUVzXu3fYsQML\nF2LHDrx7JzzLj9MwRTSUIHPmmFSIzLVwb2+8e4dXr4TjZEwMBg0yWKNzcGCsakqKWB7MMmUU\nj66fP+PFC+1aa+HCEvWKbaNaEW7dwsyZGDAAkybB1xe4fdukF6JpU94dr1xZ9ML8+Y3uQroh\ntG5YhyFs107WDyBfPgQE8PKqCSQN9zomRpi+TiNOTrh7F3fuiC7oOTujSxcULYo8eVC/PjZt\nEu6NffyILVswfToWLsSVK0hIgJeXgbeLvT28vAzWmc6cMWlc4sjIkQAQF4fixS1VhU50ETeZ\nM2PAAL3zqgYvX2L9esydi23b8P49vn5VzJXKWbCQn97gyBFUrKh9uHZ2aNECJUpI1KuJG/pP\n4a+/TH3Yf/whWviSJaJXeXkZ3eR0Q2jdsA5DKJag1kTRhJilSXDWdxs3BoABA9hnU07dmjXT\nxu0B8PYWjtdiOyZjx+obc/q0RW4/EVq31lZx8KClqhCTwoUlXOWZHyJiwv/6kplFdPVqxvcN\n3x7nzq1dQv9P4cABMzzgPHkweTKiooSFx8ayXa5LlzYlR1taNoTpFGv/CQAUGWmRkt+9s0ix\n5sDhw6KnfHwoOppWraIJEyhDBv3xbNlIrWZwcR07RnPmEBHt3k0DB1JUlMHZ4GB2LUuX6omo\nPn1S2HrZ0PGlVaokiydLDAUKKL7k+XOaOFH07M6ddO+egtLq1OGd/fxZuoTgYPr1VwY5YHw8\niaXrLlqUzp4lV1dZLbQm8N8GBwdZhQQH02+/0U8/0ZcvBsft7enkSRo3Tk/Q6OREgwfTxYuU\nJYuxLU7TSDeE/wn89RebO9R0fPxokWLNgbdvRU8lJFBICNna0h9/0Nu3dPgwbdpEPj7Urp0o\nI+XatZSQwBv3mbWcOaP9W5FJICIPD7ma1atr/3B3p1atlNWSHP360cyZlC2b9l+VSssLmjMn\nFSwoetWePRQfzzgeH8+2SWIoV45+/ZWnIEapmhx791JMDPtUUpKQk9bOjiZMoMePqVgxuY20\nJuTOTW3asE/lyUP+/jRrFrVqRfb20kXdvk0zZggPOjrS/PkUGkqPHtHDh/TxI61eTc7OJrY6\nzSIFX286rBGrV1uq5Fy5LFWyydB9rfLPurhQixbavydPFtUPDSU/PwoMVNaGDx+0f/ApoVPi\n8WNZannzUo8e+n/XrqXHj+nRI2V1EZGtLXXsSMWK0eTJ9PgxxcZS4cKUJQslJZFaTeXKiV74\n9Su9e0f58gmPX7+u73tKNGpEgYH05AkRUa5c1Ls3TZhAN29StmyiX1Y6Gx8URNu2kb8/qVRU\ntiz17Ek//KA99ewZr48LFxJA169TbCyVKkWdO5O7u6hybCz5+dGbN+TiQtWrk4sLr+Q0inXr\nKCiIbt40OJgjB+3fT0WL0tSpREQNGpCPj3RRW7fSwoWMKaatrYJPNmtGuiH8T0DpfEQAGxtK\nTGSfat7cpJItibp16eJF9qmyZdlmUqyXGoSGKm6DszOtXk3HjtHt24qvlUSBAnToEL16RXfv\nEkBlylCZMnT9Oi1ZQvv2UVAQZc5MlSvTq1cGg6FKxZioTZ2qnRjZ2BikX9CsKPIX0hwdGQff\nv+dd4u5OJ09SRATFxVGOHHTuHJUty/vI6NqVfvqJiGjjRho6VD/t272bZs+mDRuoUycikpje\nODtTmzbUpw9PR4Nt22jsWAoJ0f6bIQONGkWzZzPyeKRpZMtGly/Tpk104AAFBVH27FSvHg0d\nqk28osGgQbIMYVgYhYf/F1eQZSO1NymtAFbgLGNKOlSVCrt2sT0smzdP7Y7xEBrKjjRXqdhM\nlRBPcU6EzJnx8KGyO6dWy0oGqzSsomhRdO+OP/+Evz9q1jQ4VaUKAgIY/bpzB97eWLYMp09j\n1y4ULKi/JH9+dtrYxEQEB+PNG3ayWZ1ky6bnuEkOvpds167aFAUhIejWjReP7+CAsWO1nkrn\nzrHvla0tbt4EIJHKWCZ3zObN7MvTDIeSuTFypKzXjvmYzYq07CyTbgilYQWGsEIFZWNtcvnx\nRwDYudPAqqjV6NvX6Hwr3w23bxsM+kRwdIS3t6i+j4/obWjYEJ8+oWhRBXeOk6EpuSxfDn9/\nnD7NznSfXEqWxPbt2qZ++IDcuRk6bm4IDmb3LjYW/fsb2BKVCv366R1iNYiOxoQJ+pjpnDkx\naBDP8TJLFqxZI6zryxcJxhx7e7RrJ0GU2qePAdddkyaimh07AkBUFPLmZSvofGv5iIlB9uzs\nElQqfaay/xoOHULTpjyqWROiA+Uj3RBaN6zAEK5YIfqKS85HdFkYoqNx4gS8vbFjh6lUH98R\nMTHYvRujR2PoUCxfrg11f/UKa9di2jSsWCGcQnFSqGfKhN692TfMzs7guFotyugtKHDJEn3V\n/OmjwLyNHi2qOXAg+1aIhYskn+tER7PZFIoXlwi6X79eWB2fskCO1KljUCDnwyJ3bq3OzZvI\nmVN4tnx5YcijGDhfQkSYNUtWIdYKPz/Rufm8ed+h/nRDaN2wAkMYH4/mzRnvd7NmeP8ehw5h\nyxZMmsQY6po0Ec4XrByJiRgzxoCQTKVCz56IjtbrbN+O8uVFxwSxLIONG2PlSkyciJUr8fSp\nRAhdgwb4+28htTcnk5StrZAGkqOcOzcSE7FjB1q0QPHiqFgRI0bAx0f0m0el0qeQ46Qe8fLi\nJWTNnl34piQlYcwYk/h0PD0NHhynqORkoSEhmDEDP/2EEiXQpAnWrlXwCvMXVwcNkluOtWLR\nIsZd7tDBGIJX5Ug3hNYNKzCEABISsGQJPD21L7eHBxYvFr7fhw8zvrorVpT7OW0NEEtZ17Wr\ngdq9e8YQSet2odavl7i8YUNG2zjJbapXFypztn3VajRrJjzIDypfu1ZbLIeeJnt2XqIDInaW\njydPsGCBaPpLvtSoYVCU2LInEUqVUv4qGOLrV0yfzmOTJsLEiabWYlH4+mLwYDRsiNatsWAB\nwsONKsXPD127okgR5MmDxo2xa9d341BMN4TWDeswhDpERxtMf3T49k00jffPP3/3VpoZX75g\n506MGcMbyu/e1evPnWvMwP333wDw11/SRrR2bUYj790TNVeHD2t1YmKwciXq1eOxbMtPoqWT\nQoVQpAiqVJEwdXK6z4TM7VKBCGiLOKvW06bxnv7Tp9ixA5s2wc+PnUkqPBylS0u35/hx7N+P\noUPRsSPGjsX587xKvycSEtCnj7C1OTNFXRq5BxcusPuc9pBuCK0bVmYIxcBP8ZkyGb2vL5o2\nRZYssLGBhwemTsWXL6nRbmkcPCjqAZFcFizQX8LZgePItm1IShK65zCld292U/fsEU71bG2x\neLH27KdPqFRJunCzJEUyQnx9RR+Bm5vi0tzdhXOasDD2p5qnJzvJIoD379GypYGyhwcuXxaq\nycmeUbUq4+a3bSvMoZgqENuOzU5hYZQdpUuLZlWWRGIi/PyweTN27WIMAmZFuiG0bvxHDCE/\nJd2ePQbKy5YxhtuSJdMgaePFi3Kpn5PTBc+ebYwl8PPD48eyNJcuFW1wcDBmz0br1mjRAhMn\n4tEj/amuXc1mtMwumTOzFxo0+PlnZaV5euLBA0Y5b96gZUvhq+fsjM2bGcrR0ShVilF4xowG\n/p9fvkjPg2vXFvW8TvWwirg4Hk3rXPICEXLkwJs3iou+dAnFiunLUqnQujVCQizQCSDdEFo7\nrM8QBgVhzhy0b4927TBrFgIDAWDECN5IsHWr/vL790UX5nr0SK0+iaFOHbmD76JF+quuXFFs\nCQoXRkICLl+W1nRwwPXrijsSEmLSuqWlZdEi3LqF1auxZAmOHhUmqbx0Sa7XjI0NPD2RJw9+\n+AH16mkn2TokJgpDJ3VD9F9/Ce/Y0qWitTRqpFfjZ6EuVAg+Pti0SVRBrTbGxJgR/v689rem\nf9m3R4xQVu6tW+wImNKlLZSCNN0QWjeszBBu2yYMGHJwePbHnpF17lagmx70qCkd20S9E8hw\n0PXz05cwdqzoz06lwp9/pl7fhIiJkWs8VCrcv29wrS7lkBxxcMC5cwDw9KksfbUaPXsqW0s2\nSyKnwoVNSuHLFHt7/PqrMPmtuzuOHzdo/7p1BpmqUoqjI3sC16GD3mN2717Ry/PlE3p1NGgg\nqmxrq5+/Nm3Ka1XjxoiMRNasPB3O5uh3wLVrvLY1pFPav4oVU1ZuvXqihS5caImOpBtC64Y1\nGcKrV1NahkPUMiNFCV71+nQmiv79HixSxMB5nz9yEGHSpNTroQHev5c7mru54eFDg2tThqPp\nxMYGJUtq/1arUbeultlEA05gg0CaNFHgkXfihNxi5YhKJUEO4OmJH39E2bLo04dnUTw88OQJ\nuyh7e+Fu3PDhvPYsWyZ6VrdL+ssvvDYLPmV0z4gpr14BQFgYm5dAJ/37Y/58iZvJpObhIDwc\nz5+bkrDIAO/f83aFB5C39q+sWRUU+uULr9CCBc3TdEOkG0LrhjUZwjZtBO90MOV2oq/Mt30Y\nrQARMmQQ+sWn9M0XiFqN27dTqYcGiItTkBvW1VUb/3DrFmrU4GmqVIiNxbt38PcXxgICOHBA\ngbvKoUMICpJF0fPihdwyzSIlS2LLFm18zc2b7HmkSoWTJ7FwoWghP/2kbXxsLB484E1G589H\n27aiZ4sW1ZbDCWQkwtmzBneMuYiqa3lEBC5f5n3uaOTcOTRsKKFz6pTcF/LkSVSurH09bGxQ\npw6uXZN7LQec9f8zVF94EwX48gWnTmHPHly6pM1Kf/kybzqoaboFYirSDaF1w5oMYQrvvVk0\nVextd6ToqHotDKIKNBg/XnocHTcuNbrHgOT0Nbl07QpfX2TIIKEm+UG8bZtEmtnkQwoR1GpU\nqYJjxySKFSw/fgepVUu7frtjh3BB3c4OK1cC3BVItRpz5sDDAyTly+rtLeFZqskOmzJIILn8\n84/B7Zo2TVSzYkWEh+tp5MQkSxYkJqJcOZ6Oi4tcx9EtWxg3wd4eJ0/KupwDf3924u1etFn/\nz5AhwssSEjBzpkFoyw8/oGdPWdu5RkYp8pBuCK0b1mQIU4Rht6YDnLf91i1WIQEB0vOsunXx\n/v1361Z0NGbNgocHVCo4OKB2bfzvf9pTd+7wOBQF4ugoiyabH7WmQWQk9u3DvHkYMkRu7SoV\ng7QzOR49YtOImyKSg16fPtrag4IwaxZat0arVpgyRU9GU6aMmZvEFI093rVLVMHdXRgvFxrK\nNq5qNY4fx4IF0pXOnAkAjRvzdFJyyzERGirKSZQnjxnomx48QIMGekPrSqF/0AT9Tn+2bAxa\nRM5StcznYVakG0LrhjUZwhTEIc3pCOdtv3JFpJy1a2V9NlaqpPUhsSQiIlCxIqPyKVO0CufO\nyYrtkykZMmhnJzLB92VIWTifxjUoCD17GsxZHR3RsSOOHZMVEm6E2NggNBSJiTh9GrNmYeJE\nbNhgECaT3MHeQpI3L2Jjcfw4Fi1C/vxsHR0nbnLcvSvcsnVy0sZatGsnUWmrVtqVwiVLRHU8\nPOS+Bhs38uqSv7jKR0gIrsw65W9XzsDZTa1m0KTev288/Z2zs3maa4h0Q2jdsCZDOHWq4J0e\nRUvE3na1mhsy5OMjyyPTxkZPi2IZcL5rdZub8fE4cwbLl2PtWhQubNKgXLq0subFxSkjGNM5\nhohhzBjGVXnyYPlydoGmx9fv2IHy5Q2OZMyo9Q7eu/d7xO93784jP8uYUbtIK3b/9++HlxdG\njsTatXoTzl8znzZNvwsWFaVd3RWInR2bVY6JSZN41a1eLbccCXz5wv7oU6tx9KiB5h9/GP88\natWyBFtNuiG0bliTIYyIEEwKb1F5NSUy33bpbIPDhsn62fzwg4UCjwDExbF3RzTCJHCRv1bJ\nlJRbLckREoLFi9GtGzp3xqxZWu8bTvKPlMJndubEKbZuDS8voVmyscHixdIuIZIPMOVBlQp7\n96JECZNKliM//sgmjcueHV5e2LzZSCpczmugUglDA1+/FjqkODpi6FAFnp8zZ/L6uGmTMV0A\ncOYMBg5Egwb4+WcsWIDwWSt59zE5ZP54xaRTJ7P7y6QbQuuGNRlC/JsLNdlkbirNSvmeu/+Q\n9PKlVFHR0WjUSNbPxlxLPynA96WsXJl9iXHUl5rhT7c3lhKHDwutsr09Vq0CgN9+k4ii08nI\nkQZlPnmCbduwfj0uXEBCAi9Hrq0tPn3CxYvo3RtlyyJ/fhQsiCpV0KePSZtBHOHPrc0yU1Sp\neLW4u6NlS3h7G/Ohde6caLE6Z1cBBg8WdsrNDZcuyaru6FFeNwVuPnIQH48ePYTl5LT/5Ees\nNFoaSb7CM3myqc9m1y7FjeYi3RBaN6zMEGrw8SO2btWZw13UuSzd0bzemSmyd6Hzb/dcxIoV\nWLeO4TWaHImJ2LkTrVtLTDo4yXBNw6tXvGqrVWNfdfasMZOkrFl5jp0BAWx3U5VKe9WbN1i7\nFl5eGDeOZyR0bGEfPgh5MgsVkkixrAlauXuXsZBYsqS0NyxTZLq/phR+Yl7zSrlyxjB/MaMS\ns2Rhm6UtW0TfCk2SSz7i40XjGo0bOcR8Yl0pNJxE1uKT7/mfOsXWkS/NmhnTbnGkG0LrhlUa\nQg2WL08+JEdQlmDKHU+2QqfQunWlM/HOmMH7zSRnaDMr4uN5O3AcHsjISKxfj4EDJZKka8TR\nEWPGSAy1/fqJXl6zplC5dWu2Zu7cWne8mBi2Nybfv+HBA3z9KpquqG9frFuHiRMVuJ46O0sE\nD3Dkxx9FTxk9I+eIEcNyYiLmz9ffDZUK9euzOU4BHv/A5Mmyqnv8mOHpU7q0LDsqQGwsb0dg\nAYlwP9nbY9gwLadOUhIv0FKOiAUmGot0Q2jdsGJDCMDXFzVqSC9jFS0qEfV9/Djv8sePLdcD\nMbZwtVoWpScn2szeHvXrY948fPokXY4u1WNKsbERptUNC2MYmOzZcfWqVmGl+F6PmGTJgpgY\nrF/P687nz4B4UkZNGzR/ODigTRs8eSLtXSkmYlHeY8eaIXk9U5ITlMtHQgLu38e1a7wPHT5F\nETOpFhMREViwAA0aoHx5NGuG1auNTF5x9y6vPe1InImOCC1bakv58IFhC5k0d0wpWdKYposj\n3RBaN6zbEALs4IOUMn8+r5CEBNGk7BZOZxgdjdq1hXWqVAZplTh4/1509Y/ji5gSfKaulHmC\nvn3DypVo0ABFi6JqVUyaZDAzUMQDoBENhwGfhEyTKSk8nJ3PKE8evH+P0FA8f67fdduwQXFL\niETn2U5OeP+enT/PdNm+XcHzUgQ+hWz58paqNyXevsVvv0lQyTelYxJ36sgRbXFJSThxAr/+\nir59MWUKDhxQwOzevbt5u5ZuCK0b1m0IHz2S+97XrStR1IsXjJiyatUYLGTmRnw8VqxA1apw\ndoabG37+WVnS1K1b2VPihg0VeIlXrSp651xcFPeIvyCZcrevWTOt6eKnatINgK9fo3lzg143\nbKj1cRUgLk7ul5Kgy2KnZszQlnzuHAYPRqNGqF8fjRopIMMTE5mx7UbgyxceP9x3S1x98KBo\nVH5yGZz3sITGgAHsCjgJOwSiVotHGRuJtGwIbSkd/208eyZX8/17CYWCBenOHdq6lU6epPBw\ncnenVq2oY0eytfhbZGtLw4bRsGFGXr5tGwGM46dP05491LmzwcHwcPr7b3rwgNRqqlCB2rUj\nJycionbt6OpVdvlt2ypukosL7+zFi7R9O126RFFRVKQIdelCnTuTWk1EVLAg70Ld2Tx56MgR\nCgqiu3cJoNKlqVAh9iV2dnT8OPXrR4cOKWj/p0+ip3R3qXZtql1bf3zkSFq+XEEVKVGkiEmX\nc5ApEzVuTEePss+2aWOpepPj0SPq1IliY6U1O65vRO82U+/eohrBwezjb97IaoqNDS1ZQlWr\nylL+byC1LbEVwLpnhKdPy/0GTOnyYQ348oWXMBbAp0+81aAOHQyUd+8WfpLnyqUlz4mOZk/j\ncufWBqXJYdbWYc4c0SYJ4sEEuHtX1KGmZEkEBCAgQEuYIoZ79/Drr2jSBM2bY9o0bZYGAN7e\nok0SCH9uJ/YeRUaiShXFs0CdFCigpQi3EAIC2MmY6tQRbgBbCAMGyLoPfWkD7O0lFk+7dmXX\nwXntkssPPzDW+k1GWp4RphtCaVi3IQwLk5uhTrekZQ2IicHMmXonvRIlsHIle53zwQNep6tW\n1WtevMg2mZky4flzAPj4Eb166W+nSoWmTXHqFDp21JrPzJnRsaOoX2JyfPrE3nRUqaSJepje\nQ7a2+ngGJyd2MPjXr4ysA46O2oCxCxfkhgb26MH7tuBsLcXEYO5clCoFOztlYYgODsLUE5aA\nv79BWhJ7ewwZIkG6GR9vtnRLkl4srhQ6j8YLM4kyZe1adh0XL8q94xZISZhuCK0b1m0IAfTq\nJf3eOzvrt/oCAjBqFGrUQNWq6NNH2Xbcd0F0NDuPUseODFsYFMTrd8OGek1OOp7kdDAfP+Ls\nWZw8ibdv4evLCKfLmFHrtMLHgwdCalgnJ2zcKKr/9SueP8fnz0hKwqpVBu4qzI2lcuUMBvFn\nz0TzP9jZ4dIlWXTkRKhRA5GRPKJqHR86B1FRvCrUan2PbGxQrx5u3JAu01x48QJHj8LXV8LC\nHTuGn37SfhW5umLQIHz4YFK9fL7cS1RDlgnUSMmSWLiQsTIQHy+Xot7cQYRIN4TWDqs3hJGR\n0qTUurWUjRsZFCmjRqVqB4TgxDSmDGhMShLlcaZ/8w9o1JhEXxrx9GQ049s3fTSCQPLmleU3\nHx+PQ4cwaRJGjYK3twHVdXJcv4769fUZnapVg48PEhMREIBr13gUIpo0GuHh6NFDIkKRH8iv\ns0krV2rXJwMC2P4y7dvLeoKxsbwZYZEiABAaisePtQEhaQ2LFjHanycPAgONL5Oz2JmFIpJI\nOZFP7drCbQMx1oCUYu7YCaQbQmuH1RtCAJ8/p2uwawAAIABJREFUSzBDd+qEsDDcuiW65lWw\nINzcULw4Bg3isZB9FxQoINoP5lNat46tnD27Prbs61fe7XFzYxTbvj3vEnNRkZ88yfgyUav1\nsQScwPZixRAdLRr2klxS5O9iS/I0swEBBomBnJ0xbZrE9mRycFYCZVpTiyI8HHv2YNkybN8u\nJCYNCBDdbTBlHrVqlegN6UPc3BYc0aRoiY/H9evYuxf168u9sEwZk24fC+mG0LrxXzCEAK5f\nl3j1bWzkZjNycsKJE6nVj5gYXtNy52ZfNW2acErk7i70D+dweaSMJPPxkbhJw4Zh715cvmwS\nIXlMjGhaBmdnLRs1x+Hezg5z58p6pDKJUn18hC18/x4XL+L2bQUmUIPVq9lVqFSpvxj/xx8G\nK952dhgxQt9BTqIJtdoYHhkN4uLYC/55Mn16QzLokZjyww/YuZOX2kNMBF5k5kC6ITQPUssb\n9j9iCAG0aWPkzymluLgYmRTAZMTH81b5ChQQvfDBA0ydis6d0bs3vL0ZThApOY51Mn26ULlL\nF7m3ytVVWeR+cvCpnDW0pRxW1cyZTXLUTCnPnhnZEQGeP2czc6rVcnkSLAex/EW//KJV4HPx\nmGLFv3zBsGH6KFK1Gq1bI2jBbpOemXHk6Hv3muVmJke6ITQPPDw81JpYqnRDaBzCw1GpktkG\nxRUrUqUTz5/zXBZNiX1++RKurowyixRh+E0ozdv+++8KWvLhA3r3hrOzxCCmWfdq3lxUoX59\nWVSrMqVsWePvbXLExqZMIK2VXr3MU4UYAgMxcyZat8bPP2PqVIZd//hR1JtEpYK/PwB06sS7\nS35+pjYyKgpXr+LixX8/Nb98MedTlCOursqCgeQh3RCaDaGhoc7Ozt85/PG/YwgBxMZi9Wo2\nAZdS4TBeWxK9e/MaZWI+qPv3UbmyQYFNm+L1a4YmZ2eOKQ4OePtWVhvu3OEt0iaXOXMAwMdH\n1F4eOWK2/PLmYhoJD0ezZqK1ZMhgTADbx484cQJ79+LOHR5V0NatQsoee3usWWOgs38/7yZo\nZqu//SaqYGdnGZ6lq1fZ32iWEBsbHDxogT6kaUNoZcwyrq6uo0aNmjlzprkKjIuLmz17dlRU\nFEcnLCyMiJKSksxVaWoCoB076MULMxSVkGCGQpTjxAnRUy4u1LChSYWXLEnXrtH9+/TPP2Rr\nSxUqUOHCbM1SpejePQUlx8bS8ePUt6+0Wtu2FBEhq8yAABo2jPLnp0mTaN48gweiVtPvv1Pz\n5rR/Pz15oqCdYihVygxMI69fU61aFBgoqhATQzdvUt26cgv89o28vMjbm+LitEc8PWnNGqpT\nR6h57Rr16UOJiQYH4+JoyBBSqyl3bnJxofLl6cMHXnWas716/R975x0W1dHF4d/usjQpokIE\n7BVEYwdLBAt2scZujFETNZZPE2PvmNjRxKhRoyaxxYbEjhq7oliw995BwUKv5/tjNyx7uWV3\nWVgW5n3m8cE7Z2bOvbt7z525Z87BTz+B957Rp49EzCAD8fHBjRtYtgxHj+LdO5Qpg3LlsHy5\nkUeRydCoEebMQZMmRu45/2NqS6w3d+/eNaLa8+bN0/FCVVL5dJs7Cxca7cmxRQtq147atqWx\nY+n69bxRPyNDbF3U1jZvtCASzfsqVHSJWLBzp4HTtf79adQoatKEPvuMRoygiAh1hzdvCm4L\nqVmT1q/XdQijOE+IrOJmFt1nIxkZ1KEDTw+WlnTiBFdYlyQbRYtS375iAnPmqHsLDuaJB1uv\nXm5u9ggJofbtyd2dSpWiDh3EXmhn/YD1+hqJbGI1BmxGaEwqV65MejrOiDB69OjY2FjxGeG6\ndevev39funRpYw1qSjZtkpYpWhTp6YiNlRD791/1H/v3Y/FizJ2LsWNzqp4UMhmKF0dUFH9t\niRK5Pb4GPz9Mm4ZZs/Ro4ugoLRMRYYgyGRn46y9Mn44TJ7hVnp7Ytg1ffKE1y7S0xOLF+PZb\nxMZCoeDOk3jp3NkQxbLy6hX27ZMWCwpCiRJo3Fhacu9e7NnDczwlBaNGca/kmTPSHb5/j40b\nIZdDaPXn1i2cOAFfX3TpgogILF6MEyfw/j0qVkSPHhgyBFZW0qPoDRGGD8eKFZojQqFEMylb\nFhMmoH17lCvHezIE2SOUT4RNOTwugv/ufl5exlLZ/DC1JTYDCtQ7Qh3fPhnmabZrVy5pfeAA\n9e5NNWuSt7fYS69Bg3JpfEH279fjfeuFC9IdirjmSxYbG8EXbFFRFBREfftSr14UGEiPHmmq\nRGLEZJZmzfRI0yHE4cO6nohCQatXS3cokioZ4O5t1yWrg47f/Y4dKT4+p1dDD3SftmeWdevU\nbYcM4VSlQTEfP5TEK9UBJVI+x7anKE1lyhjhMxYlP88ImSGUpkAZQqEoW7oXka3XuRC2OyND\n12DEjo78aYZym+hosQ3+maV9e5160z30B28xwFfo+nVycBDr08LCOBGYjx7V40SsrNTxXUVo\n00ash1OntITLlNFjdG9vibR9ffsa4YLoSqNGen8PfH3VbZOSqHv3rFV9sSG7eEm8erQm2xZR\nY5OfDaGuuxHyMzKZTCaTmVoLM6F+/VzsPDycP91RDli+HKtWSYtVqIDQUIkURYZx7x4GDkSp\nUlAqUa4cRozgprIpVgzHjqF5c7FOWrTAhg06DRcQgKJFDddWJDuSEF5eOH4cCoWggFwOOzvD\nVcqkWjWxUTgkJ2P9egkZ8aVmTm2dOroODSA8HN7eGDRIUGDTJj3ym+UUvZyyVJw7p/7Dygpl\nymQe3od2G9E3u/hrlPxuj+g3uKBjfu8IGTlizBjs3au7uXqG0gfQ5g2cnfCuNUIr4KHg+xMA\nKSlISTHuexKRDHbNm6NWLdjbw9sbrVoZISvix484fBiPHsHREb6+qFIFx4+jQwfExakFnjzB\nsmXYsgVHjqBGDU1DmQy2tpDJ1NfVwgL+/qhUCdHRcHVF69Zo2RI6Pqo5OeH339Gzp07v7bLj\n6mpIq1q1ULs2Llzgr61cWVflxXFxQZcu2L5dV/mbNyUEfH2xZQt/lVKJtWvx9dfw9FQf+eor\nhIToOjSAsDAxA0SEkydzMT+iFgZ8FVJTQQSZDK9f4+efMw9vRm+hFnv2IC7OOE88Zompp6RG\nILdPpEAtjRJRUJDEug9AQBoU32OhBVIzj8mR/g1WJlcU2AsNkJubcTV9/15MR9W7HIWCfH0l\nwnlERVFEhETsq99/13p/KpNRt25UsiT/0NWra96nvHzJH8GqTh2JRIkinDlDfn56v6iVy+nk\nSQNH/OUXwW7nzjWwz+xERVG1arqeTs+eEr3FxUksSiuVtHKlWjghQSLarr5l8WKjXRYJeNNg\nipeiRdVtN2/OerwRTos0unkzd88jPy+NMkMoTUEzhER05QoNH041aoj4zvyA+bw1A+tfFfwl\nGTtJRVSUrj98hYK2bOHp4cgRrVg6n35Ke/bwiG3YoPetJvMV1NdfC8rkMFpYQgJ9950uDy2a\n4uSk67Z9Dikp1KoVT4e+vjmKlZqduDiaPZtq1ZLOkhkYKN3brVtUtapYJ3K5JtTL+vUGOoHx\nlm3bjHlZxBB5SBEqrVur2y5dmvV4CxwWaZST1Bm6wAxh7sIMYY4YPTr7b+IF3LLOBbMWmYxu\n1OCLMVW5MkVHG1e19HT+XD+8pWhRblCP4GAeKyKTaVzqVDx7JpaASahkTjVE5hkNGxrhIuiY\nVDyzjBtn4EApKfTjj1S6tLofNzeaMcPIVjArmQPxFhsb/vvyuXP0yy+0YAHt2kWJifTqFa1c\nSZ9/LuYU2qOHpvmWLVrj6hhqPHuxs6N373LrynBJTSV/fz2Uk8vp9m11261bs1ZNwByhRp98\nkttOo8wQmjkF0xCmp9OlS7RnD4WGZn+o3oC+Ij+0JT/G0fDhmpiMSiX165fTtKQCDB+uxx0g\nazLC+HjBaNT29pqA4QkJBsabW7WKiCg2VkzGKEvFkZESXp2c4uNDsbE0fz75+lKFCuTjQ5Mn\naz6cpCTp+11UVC59mFp4eIidxZ9/qsWePqXZs6lXLwoI4OaVtLMjpVL6gnDisKem0vnztH07\nnTxJCQl06pR+DqWqsnx5rl8fLaZP10O5LIu2d8/FLLIY9wPmz8bkc/B+gjK2iOdtZMQFcCGY\nITRvCqAh3LlTK+NS0aJUr57m8djGZnGTHSI/tCml/6D4eEpIoIsX6dw5njwOxiM6WjBAc/Yy\ndaqm4a5dOt1nlyzR+yaoKqql0bQ0saXLqlWNcxGCg/WYs1aowJOI2NqaWrVSm3y5nOrVo/Xr\njaObjiQm0u7dtHgxrVxJV68SEX35peApVKumbrVuHU8AF30Lby7JrIhkNubtLZcDsPAREKCT\ncvXq0d69qhZpaTRqFDdPSwfs3oIe9vjIaTdgQK5PB4kZQnOnoBnCLVv4X5WMGUMXL9Lly5SY\nuHGj2M/tZ4yi8ePzTN937+jbb3WaFamCUKsQt3CZaZVatjTk3prVWYY3h5yqfPWV0S7C1avU\nu7f0ezXoEwth2DCjqSfOzp3c2XmbNnTkiOB8TvX67cQJsXxbupdGjSTUe/lSOs6Ery9t3Uph\nYZScnAcXLBu87285pXPnrC0mTuSXaoP9zyzKTfEObdE8o2FD+vJLOnQoj06CGULzpkAZwuRk\nwT31CgXduqWSevVK8CYlQ8YteJCLC/cZMiGBfvmFWrSgypWpUSOaPJlevzai4qmp9OQJHTgg\ndiv472mYiGjlSjHJefPUYpLZlLJPxUqUUM9pVOzdy297rKzoxg0DT5bXzdWwMKTihdd1yLgc\nPMg/aVZFOuXkPJLLNT4ybdsa5xx/+UVayePHJXxKv/8+d65OZCRt3UorV9KuXTy5vjIZNkz6\nPLMYmOhosdefx3e8yZ2TkYAZQvOmQBnCI0d0sg/Csb5kyOiG7S/gpvUeKSqKx6Q4O1N4uHHV\nz8igzz7jV8zTUytJekSE2IkeOaIWa9pUTMzbm27fpgEDyM2NZDIqU4a+/ZaeP+dq9csv3OcG\nBwcDU9kcP66VSrdGDU3cupxEXxMqXbsaoqRe1KolOPqqVfT4MU2bRu3aUevWNGYMXb6sbnX0\nqHGmg76+us7hYmK0XhdofedldP68sa9LSgqNHatlrxwcaMkSfuGTJ6VPVamk4GCVeEiImGD2\nLNN5AzOE5k2BMoTiIbxGjMgUTE+nSS6rLZHMK1geD6NuZ/ER5c0CAFDp0kYPy/jsGU+4UXd3\nnl1QQq529eppZrOBgYIXw9GR3uj86Hz/Ps2YQV27Us+etGCBgc4mu3bxu7mqAm9+950RDAOn\nZL6NyyVevhQbXcgMnz9vhFeDjo40frx+WzmvXOFfgc+V6aBQ5ECh/YkjRuh02iNHUmrqunUS\nIiaBGULzpkAZQvHEoxMnagn37TsFgUKyGqP54IFYnxs2GP0k4uJo0SJq1owqVaImTSgwkD8b\namQkz15kDw8tv/x378jdnUdruZwOHDC64mIkJgru37ezo6gozpYwHhkDrEWNGrl7Upcvi43e\nuDF/K702C2Qvf/xBt29TaqohCt+6RW3bah5HypSh336jjIycXAM+rl0TfJdbpIjWGunr1zR5\nMvn4UIUKVKWKTtuJmjfft0+s/scfjX06upGfDSELsVbIaNRILO/OZ59p/dfLKxT+Qj1tX/Fm\nqcMSjB+PixfFRrx0CX15whvmhCJF8N13+O47CTEXF5w9iw0bsHcvXrxAyZJo3RoBAfjrLxw/\njg8fUL48unbFgQPo1Qs3bmgaOjhg2TK0bm1crSU4ehSvX/NXxcVh92506YIffkBSEo9AmTJI\nS9OEgtOdTz/Vu4leiCfG4q1NSMDRo4aP2KkTvvzS8OYeHti3Dx8+4PFjODjkSvRaANi/XzDM\nYXw8jh9HQADS0rBzJ4YM0TuA7JEjvp3XOjgM/PiRp1ImQ7t2eutb8DG1JTYDCtSMkIiGDuV/\nUKxfX8v/JSODKlVyQaTIo2UirKlqVfrtN7HnzyzLrSYnLIycnbkKtm5NsbG0bx9Nm0YTJ9K6\ndfzzy9xm2TKxqzh5MhE3Toi6KJV08CB17ar3zEkmMzwkm+6I7H5ZupRH/skTXfUvUkRrBVWV\nnTguLtfPyAiIL3MvW0Zjx+q3e5RTypf/9Vf+mrxPVZYJmxEy8hNLluDtW27w47p1sXMn5Fmy\nkdy9i/v3NUk7s2GJFCsk484d7NghNlyVKjnU11h8+IDOnfHmDfd4aCjGjcPy5WjbNi/UeP0a\nCxZg/368fg0XF7Rpgx9+gLs7rK3FWtnaAsCIEXB1xdSpuHULAGQyNGqEBQvQsCGKFEFIiFhE\ndA4yGX76ibsEkBvMnYvOnXnmP1Wr8qd3kEw6a2uL8eNRrRratkVKCg4fxuPHKFYMTZuiYkXj\n6JzrODmJ1S5bJh1xXJxnz4YX24xBHpO31vwQq/5RW1pixAjMnZujjgssprbEZkBBmxGqOHGC\nvv+eunenYcNo+3ZKS+MKHDtGAtnLVMUXxzWP4kLZcm1t6cULU5weD0LPyKpJVd7MAq9d44l3\nU6wYXbhA166JPeJzEg2+eEGXLmni46hYvVrQad7CgmrVonLlSKkkmYyUSqpfn3bvNtp5RUdT\nVBR/1datPFq5uPAnjzx4UDp0gFxuNLVNxpkzgqenV2xZqRILuz3eM1fOf791a15ECxInP88I\nmSGUpmAaQkmuXSMgArWUSMn+E5MhYx+y7PMqWZLn5X+mv2P+QCSUCUDHjuW6Amlp5OXFP3ql\nSpScLJgsvnZtngcVFa9f05UrGu/We/do/Hhq2ZJatKAxY+jaNXr2jK5fp7dv+TufMEFX5VWh\nzgYMoAkTaN8+9SJ6airNm6dJAeHqSlOnUmKiptWdO4K2OSiIO0RCArm5Sd/eZTJuw/R0Cguj\ntWvpzz8N37uZ1wgFi+FNZZLD4uGRq+GfdIQZQvOmkBrC9HRydSVgC3oUQVzWn5USKT9jlE6/\nwL//NvVpaOjVS0zTPPARFU/RvncvRUVRnTrc45Ur80+edu/W2rrZoIFYLqpZswTH/fprCQfL\njAzq2pX7nOPlRffuUfv2PB02aqTZtDBypOC47u5cb0zx3W+ZpUgRrVbnz3MfL5o1oydPdPpE\nTMnHj9Spk5becjkNH87vxJzzYipX0SzkZ0PI3hEyBJDLMXs2Bg3qga2NcfoPDLiIuulQfIqr\n/fFXZdzTqZPp09GzZ+7qqTMVKojV6v56KT4ea9ciNBSvX8PVFW3b4quvYGMj3VA80/i1a2jX\nDmFh2LQJe/bg+XOULIlWrTBggPoFYVbWrMHXX2u9eDt7Fs2bY+dOBATwdL5qleC4q1fj2TPs\n2gWlkl+gRQseN84bN9CwId6+5ZE/cwYLFmDaNAA4f15w3BcvEBmJkiU1R+7cERTOSqtWmr9v\n30aLFuC4Rx49imbNcOmSRAp7E2Nvj5AQXLiA0FC8ewdnZ9jZISaG3y045+zejUmTcqXngoGp\nLbEZUEhnhCqCgnQKcClSxPPh5iFXrwoGK6lfX9dOHj/meR/q6UnPnkm3XbxY7Dr99JOuOkRF\nCe4aLFlSa2VSRUyM9Ke0ZAldukT799PZs1oBesQjEQmVSpXUzcVzyj56pKXnwoXSPdvbayVc\n/PxzQckZM3S9nqbn4EHV6oshRcfQA6VLm/ok8/WMUC5lKBmFmzFjsGVLjnp4/95IquSUGjX4\nn4nt7cUmTFnJyED37rh7l3v81i306iW4MSyTatXEaj09ddIBwJ49glsGX7/mmb3JZNJ9jhuH\nOnXQti0aNIC7O5YtU5/O8uW6apWVhw+RlgaIzrNtbeHqqnWkVi2Jbj08EBamaUWEffsEhefP\nR1AQUlN1UtiUXLqEjh3x6pUhbcuXx9WruH0bmzbhzz+1vL45iPupFnqYIWRI0bkzfHwMbCuX\nay1+mZrAQKxbp7k7KxRo2xbnzknfglWcPCm41nf6NM6dk2jetKng8mypUnrs33/4UL/aokW5\nJic7KSmav9+8wYgRCAyUHksIhUJ9T+7TR1CmWzdYWWkd8fODlxe/sJsbTp3CzZtaAh8+ICFB\nsP+EBHz/PVq1QmKiHprnIq9fY9o0NG2KevXQrRs2b1Zvdpk2TXo5VOhZJjUVn3yCqlXRuzf6\n90eTJoI9+PkZqnfhwNRTUjOgUC+Nqnj2TNDfUbw0bWpq1fl5/pyuXhUL98/LggVi58q7PZzD\nmTM8udRtbfXzWRXPWZ81W15iIk2ZYuCqm1JJjx6Rn58hbevV0+jQsyePQJkyWiucmdy4waOt\nmxtPIFkiSkvTKTHvlCl6XFvdSUnRJ0k9b3oLf3+KjRVb27SzI19fGjGCKlYUlMmaUffIEf7d\nFw4O+cF9iC2NMsycUqVw8SJWr0axYnq0srXFokW5plOOcHdHjRpwcNCvVdZpU3Z08XJo2BCX\nLuGLL9QrVUWLondvXLyo3/O6t7dYbf366j8SE9GkCWbPNnDVLTUVe/agcWND2o4cqfl740bM\nnw83N/V/bWzQvz/Cw/knqdWq4epVTJ6M2rXh7o46dTBlCq5e5V83Vih0um5r1kivWuvFoUNo\n2hS2tnByQrFiGDQIL16INoiJQdeuiInhHj98GP/7n9j3xsEBx49j6lQ8eCAoExSkWShv1gx/\n/gk7Oy0BNzfs3YsyZURVLPSY2hKbAWxGqEavhHjVqtHp06bW2Mj8/bfYGe/cqV9vWX1S9CIt\nTTC3UatWGjHxfZO6lHHj6PFjwR3u5cvTrFk820d5kxtkZNDVqxQURLNn0/LlRtvtd/q0TpNC\nTuSBnLBsGc8pf/IJ3b0r3EbES0qpFJsRenkREd26JXF6nDnWmze0bBkNH06jRtH69UZP/2Iw\n+XlGyAyhNMwQqtExEQxA06Zx0/YWCN6/F0zf6uys95blnFyhhw+pcmWuDrVra8K7vHhhhHx+\nqhy5ISE8trBMGYqOJiI6dYr69SNPT/LwoM8/p9BQfoWXLeN6unbtqs/SojDBwVS0qMSJGCts\n0IMHgvEB/PyEm/XrJ6Zcw4aCVRUqEBHFxAimqsgsxs+XaHzysyFkS6MMncm+tiNErVpiDmwA\n3r7F1KmoXx8VK8LHB7Nm6R1i3xQ4OmLFCp4zUyiwahV3RUqI0FC0aAFraygUKFcOEyZwt8Hp\nQvnyiIjA0qUICEC9eujSBWvW4OxZODurBVasEIs7ammJ8uVRvjxatxbzKVVFIu3UCbduYcwY\neHnB3R0+Pli1Sh3eE0Djxli/Hjdv4tYtbNumtckvk3XrMHw419M1OBhduxph0bJLFzx5IubO\n5eaGokVzOoqKzZsFl8ePH8ejRwLNkpPFOq1cWbDq4UM8egQnJzRqJKHZkSMSAgxxTG2JzQA2\nI1QzZoxO8wgLC4mwhtev83hElC4turqUj/j3X/LxUT+jy2TUsKFYSBcO8+fzPNxXrWr8OJBt\n2oh9RC4uGsn+/fllmjQxTh6+1FT65BNBTXbtMsIQRHT4sOAQRkzI/sUXYld1/36BZhMnijUT\n71S14H7mjMR23vHjjXaSuQabETIKBO3b6yTm7w8XF8HatDR0787jv/HsGXr10iN7gulo3hxn\nzyIqCjdv4s0bnDkDX1+dGl69iokTeeZAd+5gzBiJtmlpCApCjRqwsIClJRo1wsaNYvLieway\nZgRZsQIdOnAFfHywfbtOGxAluXwZkZGCtQcPGmEIAC1a8G8S9ffHxInGGQKAhWgkLqHQPOjV\nS3CBpHFjFCki1unUqXj8GA0bYsoUMbH8tEnJHGGGkKEzLVqgY0dpMfENcUeOqHMIZefSJZw5\nY4hipqBECXh6onhxPZr88YdgRuTt28UWSJOT0aYNvv8e168jPR2pqQgLQ79+GDJEsIl4RtnR\nozV/29pi924cPozRo9G9O4YNw86dOHNG7GFGL6KiDK/Vix9/xJ49aNkSRYvCxgb16mHpUuzf\nz92tmBNq1hSskstRvbpA3aef8psxW1usXAkPD7Ehr1+Hpydu38aoUTyh9jLHzpsUYgUXZggZ\n+rB5MwYPlnj/l+kpz0tEhFjt5cuGaGUmCD0AAEhJEfOQX7AA//7Lc3zVKgQH8zdp2lSwtypV\n0K0b92CLFli8GFu3YvlydO4s8QnrReZrSwNq9aV9exw8iHfvkJCA8+cxYoTEHE5f+vYVfN34\n+ef45BPhltOm8ex6SUjA2LHSk8KkJLRpAycnzJzJLzBiBKpWFeuBIQUzhAx9sLXF6tX491/B\nVTMrKzRrJtaDKvSWEGYQEctwxK2LQiFYtWaNHlVv3qBLF3z1Fb980aJiYclyg9q1xawdr3NN\nvqVECfz9N4/ZqlULK1aItly5EuHhPMcPHED9+ihZUuLL8eQJrl7F2LEICtLa/WptjYkTERSk\nm/oMQVj2CYb+NG2KoUP5f/qTJsHZGXFx2LoV588jORmenujVC6VLqwXEH10L9INtjRqCRsjG\nRjAsZ0ICHj8W7JOTyTw5GS1bCqa5sLHB/v15ncbdwgJz5mDwYJ4qX1+e15P5nNatceUKFi/G\nsWN4/x5ly6J7dwwdCmvrbKKRkfj3X7x+jZIlJezkgwfq9iKb60NC8OmnGDMGgwbhxAm8fIkS\nJeDnp9/qPEMIU3vrmAHMa5SHlBQaPVprM7O1Nc2aRRkZdOoU1ynU0pJ+/VXdMDZW0ImwdGme\n1AkFCJEstd98I9gqMVHMW7BiRS3hX3+VcOkdODC3z5Kfn38mW1stTTp2VO9ELICkpdGECYIf\ntlARilygKrrnUM6v5GevUTYjZBiEUonFi/HDDzh6FK9eoVQp+PujRAm8eIH27fHhg5ZwSgpG\njkSpUujUCXZ2WLsWXbpwN2RZW+OPP/ieqwsOVapgxQoMGcJdHvb2xoIFgq2srVGpEu7f56/l\nOGjs2SOhw44d+P1347iD6sWoUejbF3v34skTODrCz0/M8cTsmTABCxfq3Up8u6G4Tw0jZzBD\nyMgBbm6oUgUfPyIqCleuwM8PP//MtYK6DqQVAAAgAElEQVQqiDBzJjp1AoB27XDmDKZNw7//\nIjkZ1tZo1QqBgfj0U8GB7t/H6dNITESFCvDzM6YjYN4ycCA+/RSLFuHUKSQkoEwZ+PigRw+J\nN0RDh2LsWP4qjuOoZFjRDx/w/r1pcvIUL47+/U0wbl7z9CmWLDFynwqFmb1NNTeYIWQYyoMH\n6NcPZ89qjpQvL5apPSICsbGwtweAunWxdy9SUhAbCwcH4R1YQEwMvv4aO3dq9t+5umLFCrVN\nNUPq1cPmzbh+HUOH4vRpXL6MlSthbY0hQzBnjtb127sXv/2GiAgQ4ZNPeHbjjR/PdZuXtHAy\nmYSLIiOnHDok4REmQsuWOHSI5/jkydKZtBg5gBlChkG8e4fmzfH0qdbBR48kpjYfP6oNoQpL\nS4lX/enpaN9eZWvPo/4SjD6LBgmvbCt3ud935M1Bi6qpnOPPnUNICB49QtGiaNYMXbuKGdb8\nwM2b+OwzrZlzUhJ+/hm3bmH/fvUlHDOGZ15RsiSSkqBUom5djByJdu24As2a4dgxsaHr1YOl\npeGaE+HZM6SkoEyZHPVTkDF4a6RSiZgYuLoiMlITWcLaGlOm8AcLYBgRU7+kNAOYswwP06bp\n5wig8gVITtZvlPXrVW1X4hsF0jj9NW9OHz/SwIHccby86MGD3DlrIyES/2zTJiKi7dsFBbKm\nG8xOdDSVLCn2IeibIiOT1FT66SdN57a2NGgQvXljYG8FmZUr9f5pZC8KBfXtSyEh9O4dxcXp\n/cPJl+RnZxm2j5BhEPv3692kbVu9JxH79gG4jurDsSwd3H12R46gZUusXcttdOMGOnSQyB2o\nIx8+4OJFXL9u+FpXdj5+5F/9UqHaIC/ibC/uh1+sGA4e1IqglomFBRYsQOfOOqqpBRF69MCk\nSXj9Wn0kIQFr1qBBA7x5Y0iHBZkWLYzgjJSejs2bERKCGjVgZwdra9Spg7/+MoZ+DB6YIWQY\nhL7rP0WLYt48vUeJjASwGl+nCazh8+5RBnDrFnbs0Hu0rDx+jI4dUbw46tVDjRpwdsaMGcbZ\n7v/ypWCgNUC92CwSYOfqVYmMDTVq4Pp1BAdjxAg0bozatdGmDSZNwvXrgh43kmzZgp07eY4/\neIDJkw3sU5z4+FzpNi/gbO00mIwM/PEHnj8HACJERODLL/Htt8bpnKENM4QMgxB5t6dUom9f\nrUApPj44cYJ/niJOsWIALqOWUL2ISTh1Su/RMnn0CD4+2L1bY7Hev8fMmejRwwhpg7K+JBWq\nFYk9nrXqzRs8fIiEBK6MUokuXbB0KU6dwqVL2L8fP/6Yo1gFIgG+t2wRs+v68vw5Bg9GiRKw\ns4ONjdq/2JzIyMDIkUb4lgixYkVeRwYqHDBDyDCIli0Fq5o1w4YNePECe/Zg507cuoWzZ1Gj\nhiGj+PsDyDDoW2pAkr9Mxo7ln/GGhAjG9hTh1SvMnYvevdGjBwIDkZqKcuUEhRs3BgBPT0GB\nqlUhk2HbNnz6KVxcULEiihZFx45igUxzjkgc1I8fjbY6eusW6tTBmjWIjgaApCTs3w9fX4k8\nG/mLiAg8eZK7Q/zxR+72Xzgx9UtKM4A5y/AQGckfIMbSks6dM9ooiYnk4TEYqw3wNpg40cAx\n4+LEQoL06KFfb1u2UJEiXJ8hoRSATk70+jUR0erVggosWkTz5vEct7enCxcMPGVJatcWu9Tv\n3xtnFG9v/v6LFKGXL40zRK7zzz9G8JQRLzVqmPokDYQ5yzAKHC4uOHSIO3NxcUFwME+UfXGi\no7FoEbp2RZs2GDlSa03T2hoHDnxV7ZwM/GtN9ogV6tUwrxAAL1+KOdoIZiHn49Il9OvHfd2V\nnIwNG9CvH3enScmS2L1bncHgq6/QtStPh23aoG1b/pQ+sbH88TyNQr16glWVKsHR0QhD3Lgh\n+MY3Ph7bthlhiLzg7dtcHyKf7w0yT9g+QiPz/j02bcKFC0hNhacn+vQRWwczb2rUwLVrOHwY\n588jLQ1eXmjfXjBlmhAnT6JbN83iWmgofv0VQ4Zg+XK1oShbttH1VRO/ePrTxrKcptVwczpm\n9sXG7K4033yjtznORPwM9Dq/BQv4/WsyMvDgAa5cwd9/484dWFujYUP066fJK6BQYNs2rFiB\n337D9esAULUqvvkGo0Zh3jxBn53Ll1GnDp4/h6UlfHwwejSaNNFDWxFGjsS6dfyus5IphXXk\n9m3Da/MFV69i4EBcvCgmU7Gi2CqzjogEYGIYjKmnpPrx8OHDmjVrKhQKADY2NsOGDcsuY/Tz\n0n1p9PBhKlFCaxlDqaSlS42oS8EiMpKcnPjXf3x8aPduSk/PlN3uMqwBwlS7Cd3xfBzmfYQ9\nAaFoVcX6SdYVwpkzKTXVcKUyMqh0acF1qXHj9OhKpB/VEtfZs9KdJCVphSIfMEDXJTSZjBYu\n1Pv0hfjrL56g0MOGUUaGcfoPDhY7lxEjJJpHRtKePbRjB127ZjSV9ODePcFvMqfI5TlaF5XJ\njPnqIW/Jz0uj5mQI7969q8y2LNC0aVOOmKkM4cOH3LdBmV/dXbuMqE4BIjBQ4mfv708fPxIR\npaWp7iApUMaBe5UznIpduUIhIXTyJMXHG0GvX37hV6dIEXryRI9+JO+NRYpQRISuvaWl0fnz\n1KqVyW6bd+7QmDHUuDF5e1P//vTvv0brmYgePBA7kVWrBBt++EADBpCFhUa4Zk0KDzembtL0\n7KnfpyIp8+WX1KkTjxFdvDhvT8yYMENoHOrWrQvAwsJi4cKFL1++nDhxokwmA7BQ+7nXVIZw\n5EjBb3X9+kZUpwDRvr30HaFXL7WwtbWgjJtbznV584Z++41Gj6bx42nbNvr2W+4gjo60f79+\nfdasKX1+zZvr1FVICJUtq8fNNrMMGmTAxTANrVvzn0KJEvTuHX+T1FRq3JinSZEidPlyXumd\nkcH/CCxSvLyoWzcKCKAJE2jyZHJ01FQplfS//1FyMmVk0F9/kb8/ubtThQrUuzeFheXVKeUK\nzBAaB9V0cNq0aZlHgoKCAFhaWsbGxmYeNJUhrFVL7BGwQCfaM5SmTXV6fH74kIjI11dQpmvX\nHCryxx/cW1mFCvTHHzR8OLVoQe3b0+zZan9OvZg1S/r85HL68EGinx07DF9RM6OHsBcvqEoV\nrv52dnTokGCTdesETzzvvLxjYvT+VCwtKSFB08PHj7RrF61YQZs3G/I9MxOYITQOKgv3/Pnz\nrAc9PDwAdOrUiSNmxHF1NIQVK4p986OijKhRQUHH910bNxIR7dolaElOnsyJFvv385sZZ2ee\nTy09nU6epOXLafVqunhRouedO8XmsZnl9m2xTlJTyd3dQCsIUN26hl+Zt29pyhSqU4fKlKHa\ntWny5FwPLvrxI82aRXXrUvHiVKUKDR1K9++LyWdfPswsCoX0E4ZxSE0lhULvDyafx8PNBZgh\nNA68hvDu3bsymUwmk926dSurmBHH1dEQ+vkJfudtbSktzYgaFRT27tXplrFypVp+zhyuyVIq\nacWKHGohtH0NoMmTtSTPnaOqVbUEGjYUvFNv3qzrNO7VKzH1zpwRa1uyJAUEcJO/Zy39+hl4\nWW7dIjc3bm+urnTjhoEd5gb16hn+hGFMRH78QqXwPRrnZ0NoTvsIra2tASxatCjrwcqVK/fo\n0YOI/Pz8kpKSTKQaAHTpIljVsaNWxLFCAREuXcKmTQgOxrNn/DLt2qFXL+muypZV/zFhAi5e\nxMiR8PVF06b47jtcuYKhQ3OiZmwszp8XrM2a0uj2bbRsiTt3tATCwtCsGWJieLodPlwsUlom\nVauiZEkxgRcvxGrbtsWuXWI7CAcOlNYhO+np6NEDL19yj796he7djRmCPIeIb2E0ygZHnZg+\nXb9feOXKcHbONW0YemNO+wgbNWp05MiRn3/+WS6Xjxw5sux/98cNGzYcOHAgKirK1dV12bJl\nevWZkpISGBgYLxri9+3btwAypO5qQ4di/XqefUTOzpgzRy+lzJ/wcAwapN4BB0AmQ7duWLEC\nJUpwJdevh6cnfvxRcBO7szP8/DT/rVULv/xiRE3fvxcLDJnVwk2bxh+27dkzLFyIn37SOnjw\nII915GXmTAmBzM2FvKju9YGBOHMGFy5wa0ePhkyGAwdQuTIqVtRJHxUnT+LaNf6qmzdx7Jgq\n+J3p8fXFv//yV1WpIvGEoeb5c6xdi4sXkZ6OatXQvz+qV9dPidRUpKSgVy9s26b1NXZ2xvv3\n/Ls+WX7B/Iapp6R6EB0dbZtlP3PWqhs3bqjmi/qe1zydUyJUqlRJsreYGPriC633BX5+ebg+\nk0+4coXs7HjWgmrXpqQkHvlr18Qcyv/6K1eVTUwkpVJw8KzL4bznpCq1anG7nT9fem1MqaSg\nIGkN37/n2cCXWYKD1WIJCTRjhvpFtYUFNWxI7dppNfTx0WOrRlCQmOZG3J6YQ96+JWdnfiVV\nmR0l2LqV6yWlUNCcOXpocOIElSun1UOJEtSvH02fzq+ZXE5Z3P0KFfl5adScZoTFihV78uRJ\n//79jx07xlkFrVat2qtXr4YOHXrkyJGYmJh0nePhjx49OjY2VnxGuG7duvfv35cuXVqyNycn\n/PUXFi1CRARSUuDlhfLldVSkADF+POLieI5HROD33zF8OPf4ypVikzInJ+NolZqKuDg4OnIi\nm1lbw99fMLtihw7qP+Li+M9JRWaWvkxsbMR08fHB55+jRw+UKSOlNuDoiNGj+XNY1a6Njh01\nI06fjunTkZIChQJt23KzFJw7B19fnD6tU/xz8R9Q/lkaLV4c+/ejWzetSNdKJX76Cb17SzW+\ndg19+3JnbOnpmDgRFSogIwOHDiE2Fq6u6NQJzZvz99CmDTf9x9u3OHwYoaH8wch79FAvAjx5\ngqAgHDmC9+/h7o4uXTBiBIoUkT5nRm5gaktsBrCg23oQH6+1t5lTWrdWi6Wn06VLtGMH7d4t\nsQfL25vmzKEXLwRHvHOHZs2i/v3p229pwwaeSefJk9SypXreZ2dHPXvSvXtZ669c4VehenWN\ni3tGhpj/p5cXd8zwcLFzOn1av4uamkqDB3M7qVuXnj3jl9+8WXBof3+dRty9W0x/g9Pc5xKJ\nibR+PX37LQ0YQHPn0qNHujX76ivBM8w+B+/ShWcLVOfOYpeJtyiV9O4dHT1KDg7cKk9PCb8p\nMyc/zwiZIZSGGUI9ePRI7C5QvToR0YEDVKmSfrcPmYwaNeKJkjJ9Otc1s0IFunpVI7BpE49r\nu4MDnT+ftZuwMPL01BIJCOBu6GrXTlC7Nm1o7lxaupSuXNHICzkSNm5sYAywixdpyhT64gv6\n3/8oJCRr+DkuPXoIqqpQCG5Oz0piIpUqxd+Dm5txwvfkNjduUHAw7d4tbFw8PPT7Eg4ZotU8\nI0PMW1ek7N9PLi78VW3b5v6FMRnMEOYuuT21ZYZQD969E7sFNGlCBw6ITRnFi1xOy5Zpxvrt\nN8FbtSozUFQU2dvzy1SrxrEk6el09iytW0ebNvHviDh/nv9dHef9ZkAARUcTEb16xRNZpnp1\n0t7+kys0bCh2Fa9f16mTf//lmQRbWYltb88nXL6sta1CLqc+vTOir73griuIh4LNXhQKiozU\nNP/40cCv8ZgxYrWq8BEFkfxsCM1p+wTDDChaFLUEE8rDzw8jRhj+iikjA6NG4fJlACBCYCC/\n2MuX+P13AAgORqxAnqabNzlOlnI5fHwwYAB69+Z3sKxXD8HBPE7vnPebu3ejY0dkZKBkSYSH\nY+1adOuGxo3RtSt+/x0XLsDdXfpEc4idnVituBtqJs2bIzwcXbqoE27Y2KBTJ4SH5xd/USFu\n3YKfn9Znm5GBTZtlrWq8SnEvDzc3zJ6Ne/cwcaLgd0OI9HScPav5r50dtB30dEU8VdOVK4b0\nycgZzBAyjM3MmZDJeI47O6NlS9y/n6PO09MxeDASE/HggdgOuxMnAHA3/XEQr+WjXTs8eoRN\nmzB5MqZORbFi/GKnTyMkBAAsLfHVV9i+HadOYccODBoEKyt9xzSEzz4TrCpbFqVK6dpPjRrq\nZ4mYGMTGIiTEDFIATZiADx94jl9E3dX4Gq9eYepUeHpi7ly8f69371k30MhkaNlSUJL3JwCg\nXj2J55T844lUmGCGkGFsOnbEihXch+Vy5bB/P9e/zjAuXkSzZoJZXFWo7oXiKUwNSnBapAh6\n98bs2ejaVWynYGiorh2mpSEmBsYNBTFsGIoX56+aMkXwFi2EXA4nJ/OICJGcjAMHBGv/QSf1\nXzp7lXPhuPnOmsU/KXRxwYgRPMft7bFqFapWFRtCvJaROzBDyMgFhgzBo0f4+Wd8+y1Gj8bm\nzbh9G3Xr6roqJ8m5c+jbV0xAtddFZJEWQM2aOVGB1zdex1oVd++iRw84OqJ4cdjbo0UL9Tw2\n5zg7Y+9euLlpHZTLMXVqLmaxzw+8eSMYmAHAC+RsVdrNDQ0bah2pVQu7d3MvdLVqOHwYv/yC\n1as1WbkVCrRqhbAw1K6N7t0Ft0nUravT7haGsTGnfYRCkMguNIapKFkSo0ZxD9auDTs7sR15\nxqJTJ/W/pUrh+XMegebN4emZkxHEI2RJxs86fx4tWmjeUqWl4cgRHDuGP/9Ev3450UuNjw/u\n3MGmTQgLQ1ISKldGr16oVs0IPednJKLwgG/NVEfkcixfzrOK4O+Phw+xfz+uXYNSibp10aKF\neq/q4MEYPBhPnuD9e5Qti6JF1U3c3LBsGQYO5IbgK1YMf/xhuIaMnGBqbx0zgHmNGhPJZLw5\nL35+lJKiHu7sWSpWjCtQpUrOfTfT0sjVVVCF7dvF2qanU7Vq/A3t7bU8Exn6IpINbTzm6voV\nksm09pZWqUL79hlZ0ePHyd9fvb3VwYH696fHj408RD6DeY0yGP8xcWIuvm5Svf46fhwlSmDY\nMMTEwMcH167hhx9QsybKlEGDBpgzBxcv5tx3U6Hgj/YCoHFjsQjsAM6fx82b/FWxsQgOzqFq\n+YXISJw/jxs3DH8lR4S9ezFgAPz90akTgoKkHVxmzOB/CeqEd//Dz7oOLJdj+nScO4fQUFy/\njtu30batfqpL4uuLQ4cQH4+YGHz4gD//1ASXZ+Q9prbEZgCbERqTlBSxyKLGLZUq5XaymxUr\nuDFIAwLo7VuJVn/9Jab1mDG5qnJecOUKNW2q+ZydnWnBArEIALwkJfGkG3RzowsXJBr+uijJ\nSpmetZU7np+B6OZK3vLPPwZfAUZ28vOMsCC8I2SYE0ol3NwkcgsZi/v3MXGiek9h7jB0KHr2\nxP79ePwY9vbw89Npg4GF6M/OIG/WfMSlS/Dz03oR/OYNfvgB9+/jt9/06Gf8ePzzD/fgy5fo\n2Dzu9ri19g280KwZJ3IsAKxePTxwXKdUu7/R6yaqWSPJB+e6Y5st9PdYnjtXE8tVgOPHsW0b\nHj2CgwOaNMEXX8DeXu9xGKbH1JbYDGAzQiMjHlmDU6pXz9Gk0M6OPnzQezKSy9y6JaayTmkT\n8jENGgie2qlTunby8aNYzo0VGEoAVaumFdSOiNau5W8g0pdIkcmobl2qUIG8vWnGDHXEoP9I\nTaX+/bktSpWiS5eMdB0LHPl5RsjeETLynClTULmyrsKZSQ0NQ5VxwtISjRph+/YcdWU8PDwE\n47OULq32eDVTnj7Vir7CYetWXfu5fBnJyYK14fAGgJs34e+PV6/UR1NSMG4cfwORvkQgwsWL\nePgQ4eGYMQM1a+Lu3czKmTPx11/cFs+fo0MHvUPWMEwOM4SMPKdYMZw6hb59824RMD0dYWHo\n3l3wRmkASUl48sTgEAF//gkPD+7B4sWxfTuy5Nw0Px4/Nrw2K+LXNQH/XaM3bzB/vvrv8HCx\n6GX6xhHIzvPn6NlT5fmTlIQlS/ilXr7kMZCMfA4zhAxT4OKCDRsQHY2wMISHY9GiPBp3wQIs\nX57TTi5fRrt2cHBAuXJwcICvL44f58rs2oU+fVCvHj77DOPG4dEjTr2bGy5cwIIF+OwzVKiA\nOnUwYQKuXYO3d061My3iVlx3Gy+eyLM8slzPgwfVf2RPC5kVIiPYwsuXcfo0gGvXxHbDhoXl\ndBxGHsOcZRimw94eDRoAQP36UCgwdWpeLCqNHo3mzXmmY1mJisKBA3j1Sh3xJWvUq6NH0a6d\nJiRaejpOnkTz5tiwQZ0KNi0N/fphyxZNk9OnsWwZNm5E585ZBylSBGPHYuxYI51X/qB6dbGQ\nCapPWxeqVEHt2oiI4KmSgXogyxprZhQfobBymWRG3pDJxHJB8/EAFdfhqyuoiW9Lf9pJIjRB\nHkSMYBgZU7+kNAOYs0we8f497dhBS5bQggU5cpCRLL16ianx449avhUyGfXpQ3FxREQpKVS2\nLH+fjo7qbRMzZ/IL2NjonDHWvJk0if8CfPIJvXtHlJxM69fTgAHUtSuNGEGHDwv1Ex5ORSyS\nsvczFtpfj8y0yPHx3L0sRiqrMdgSyVmPqfbBC5X/fZMgdFKFmfzsLMMMoTTMEOY1UVG5awit\nrWnsWNq8mSfnuJAN9vKikBDas0es23XrKC2NSpQQFBg/3hRXM69JTaU+fbinXrIknTtH9OgR\nT0ydrl15PggiIro8M6QpjsqQoRJ0x/PlGJYB7X2o332naTBX59gxOpcTaCJHul6NTvZexns6\nhRxmCM0bZghNQA53TehYypShs2c1g8bFSUwpsobdyl4mTaJ798QECsNXKC6Obtygx48PHaIh\nQ8jfn7p0oaAgeveOKDVV8GMdOpS/t4QEKlfuDUpcQN07qMI1gQB98gm9fq2Rz8ggPz89vgAW\nFtSnD5UvLyITgF1ClQqkZT/4NVbRp5/mzcU2L/KzIWTOMox8SWAgv2tDiRI4dgw9emjtpLa0\nNHCUp0/Rtq1md//p0xKvd+LjxWqtrMRyHwBITkZiokSKBPPlyRN8/jmcnODlhXLl/AeU+s3z\n50OhGcHBGDMGRYsCu3YJboZZvRqjR8PDA3Z2cHdHv364dg0AbGzQvXsJvK2Li1VwVwbSalWj\nBv79F598ojkik2HuXD10TktDYCB/Iub/CENDoaoiiG8IjWNMMcTMwcQVGIbISD10YOQDmCFk\n5Es6d+ZJalilCo4ehZ8ftmzB06fYuRObN+PqVcTF4fhxnmQXuvDuHYKC1H/rkjxJhNq1UaaM\nmFW+dw/29nBxgZMTunfHvXs5Gi7PIML9+4iIwLt3gjIPHsDbGzt2IDVVfeTFC4wejW++0cic\nOSPYPD0dP/+MO3cQH4+XL7FxI+rXR0gIUlLEotFMmgQvL+7BBg3QrJn0SWViYQEnJ5H6eAik\nTAKSYH0GjZ6h9DE0jUDtSHwyAXMVSEeJEnoowMgPmHpKagawpVGT8eoVLV1KI0fSDz/Qjh2a\nnBK8PHxo4AJp7drqHkJDDV9lrVqVkpOJiD7/XNcmDg7ScTP14sMH+vVX6tmT2ral4cPp6NGc\ndpiRQb/8Qm5uaoXlcmrZkm7c4JHs0EHwND/7jA4cICIaMkS/S+rgQDt3igm4utKZMzzKxMdT\n1ao6DWFlRamptGKFiIwnbgpVVsEd/orRo3N65Qsi+XlplBlCaZghzO+cOUPjx1Pv3lSmjCE2\nrFw5dT+S7wiFipsbXb+u7uTpU3J317Vh9eqUkWGci3DxIpUqxe2/f39KTRVscv06LVtGc+fS\n339TTAyPwMiRPDrb29Ply1piMTGkUEic6Xff0ezZel/YJk0kBJRK+vVXevpUS5/ERJowgayt\npfvv1ImIKCGBKlcWkpmOGUKtJ8t+5DlaogS9fJnzz7PgwQyhecMMYf4lOZl695a+V375JVlY\nCAo4O9OcOfTkCRHRokU63aAnTKDmzalKFfL1pcBAThRKevGC+vbV3IidnMS62rLFCNfhwwfB\n7IhTpvDIx8RQ585aYnZ2tEzb1/HsWcE8IQ0baklevqzTRQsKIrlcP0NYrpyOkm/K1w8Zc2z1\nagrdlxbv20anVk5O6l0xRHT8OHl4aNVaWJCbG8lksbCrgavZW3vh+oeAvprpsqp4eFBEhBE+\n0IIIM4TmDTOE+ZcRI/jvcdbWpFRSyZLUqRP17UtVq0rs/ALI0pJWrCAimjOHbGzEJEuX1mka\nl5REd+7Qs2eCSmaWJk3owYMcXYelSwU7t7Pjbk7IyCBfX37hdes0YuKx0VXPDSrEg4hnFj8/\nGjdOP0NYsaKkTAqUP2C+FTQ7DosheiW+kWjYoIH68WXPHq0dHVZWVK4cDRqkPsHoaLK0jEax\nr7A2cyuhEikDsO4titOWLZSURDt30qxZ9OOPFBpKaWk5+hwLNMwQmjfMEOZToqLE5nl791JE\nhNiuvuxFJlMnIo+Koo4dBcW++UY/Pb/7TnroMmWk0xhmJTWVnjyhV6/U/82+cS9rCQ/XavvP\nP4KSn3yiuZVzpoyckvUFZGqqTtfZ0ZEyMmjJEj0+FH9/SZnBWM1bw2MLHR1p7VraupWePVNr\nvnGj4Ky3WjW6f59I80AQC7uz8DkLn1jYEUBeXhIvrRna5GdDyLxGGWZLWBjS0gRrjx9Hr15i\nUZizQ4TZswHA2RlXrgiKZUlBoBO1aknLPH2KBQt06i06GkOHolgxlC0LV1eULYslS/Tb9REa\nKigZGYnLl9V/29iI9Zk1bKiFBUaMkFAbQFoaZDL873/4+2+JlIwq7O0xfrx4gNArqLkGg3ir\nxmG+Jja3ig8f0LUruneHkxMWLECHDvjqK8FYazdvol07JCdj3jz07QvADnE+OOeDc3aIg5cX\ndu82+9SRjP9ghpBhtnz8KFZ78ybu3NG7z7NnkZqK5GQ8fSooo68h7NoV7u7SYnv3Ssu8eYMG\nDbBypSYo69OnGDNG4kzLluV2IkJUlPoPHx9BGYUCixdj6VLExKiPTJ6sDrUqgiq+6+3baN9e\n7AlGhVKJNWtw7px4UNA96EDgt5Qf4HgKn2kdkslgY4OVK1G0KMaNw969Ehs6797F339DqcSG\nDTh1Ct9/j+7dMXgwNm9GRIREXJljmDAAABj9SURBVHCGWcEMIcNsKVVKrDY93ZA+MzIQFwcL\nC57U55nou3+/SBHs2CHWoYrMvHoiTJqE+/d5josYwnr1uLds8V1uLi7qP778UvM3h/R0/P03\nRo1C5crq5A8WFti0CXv2oG5dwZ6//BIAhg+XyA5YrBg+/xxnz6J5c/UEXZjXKClS+wquWv93\ndsYXX2DoUGkznMmJE+o/GjfGwoXYuhWrV6NXLzYXLGAwQ8gwWxo10ooqkhW5XCJBgBD29iha\nFAoFqlcXlNFlqZODjw+srCRkihWTEEhN1UpqwaFcOZ6DtrY8aadatxbsxMUFNWuq/374EEUE\n95KriYlBly54+FD93/btERbG33/bthg2DJs348gRsQ7t7BAdjW3bUKcOVqzQZPkQwAnCe/yz\n10ZF6ZEaWMWHD/rJM8wTZggZZoulJZYu5X+HNHq0fuFFMunUSd2hSJyakSMN6Vn8lRuA5s0l\nBCIjxdJU2dtjzhwta9qoEU6eRP36XMmAAPj68ncyb5767d3Dh/D3z55GkYeEBCxerPmvUok9\nezB/viZuWcWKWLAAu3bh2DF88YVEb/b2uHwZmzfj888xbZrk4M1wVKjKEimf4ZS0/uKULp3T\nHhhmgam9dcwA5jWarwkO1tpt5uhIc+dSejolJQmmTBIqLi6aXQEZGTRsGFdAJqM5cwzUs21b\nsaHt7OjhQ4kexJNyeHsTEaWmUkQEHTumcYzkJSaGOnXiKvDrrxqBL7/U47rVqsU/SmwsxcZq\n/uvlJd2VeFhzvuKPQ7w1EzBH3654Ss6j8zD+Iz97jbLEvAwzp0sXdOyIK1fw+DFcXFC3rnru\nZWWFDRvQpo1EpOxMmjXDypUoU0b9X5kMy5cjIABr1uDGDcjlqFsXw4ahoWAIZgnmzUNoKDIy\neKqsrLB/P8qXx4kT+OcfPHsGJye0aIEuXbTeRTk7o3x5wVma6uWchYVOK7dOTggJwbVrOHYM\nsbEoWxbt2mmF3Ny/X49TU81Tb9/Gzz/j1CkkJKBiRfTogQEDNN6hDx7gxg3prnT8sLKwFT16\nY3MoNOuxcmR8i+WzMUXfrrj06YOmTXPaCcMsMLUlNgPYjNCMuXOH+vWjYsXEnvo7dsyjlLnr\n1/OEVlHtIExKou7duVU1a2rtWyfhwDcWFnTtmtH0TE8X3F3HW5o2pW3beEKaNW1K8fHqPk+e\nNML8TLicQuOZXS+PHEnzZ8TfGvYzNW9Ofn7Uq5cenWT9aGxsaPx4dfBYhpFgM0IGw0RUqYL1\n6wEgJgaNGvF4V5YrhzVr8iJdQGIiQkO5mwEsLDBjBooXx/Dh2LaN2+TKFXTqhAsXoFCoj4we\njWvX8McfWmKWlli9Wsy7B0BkJM6eRXw8ypeHt7e6w7Q03LqFpCSUL691BeRyODlptkZI0rQp\n+vfncWw5dgzjx2PpUqSl6dGbQTTG6caKH+HkifkLkZCgPurgoGt7uRwXLwLAw4dwcIC3tx5t\nGQUAU1tiM4DNCAsIr19T9+6aB3+ZjDp2lHiXpgsnT9K0afTNNxQYSBcv8sts3EgODvwTEYWC\nQkPFQuT88w+3tz17zrWc3M3xkIsyxkqR6lEhecoU+rhyE/n7U6lSVLEi9e5NYWFq4dhYGjRI\nq/8KFejAAZo1SxMEVS6n1q3pzh3NED166DqRsrenSZMEa21taeRIsrfP1emguuge65xTLC1p\n69acfg0YUuTnGSEzhNIwQ1igiIykgwfpwAFNfDKD+fCBxwWmXz+KiaFDh2jTJgoNpbg42rpV\nYqVRKPKnqvzwA2fYP//ksZtVcfs1PtH8Xy6nJUsoI4M/Shlv8GsbG5o9m168INInI1XXrtSs\nWY4MmKUlffutfouxvEWvHtzcqGFD8vOj6dM1obcZuUl+NoRsaZRRyHBxQcuWxumqb18ep5IN\nG7Btm2bPuIMD5HLx8CgScWG0t0w8vhg9ZKBDWjp3Q/cdVP0Wy3egm/r/GRkYMwbJyTh8mKdP\nXp+dxERMmYJZszBunPQOwkyCg8WjoEnw6afYuRMVKiA8HBcuSAi3aIGHDwXdhUQucrFimrVZ\nuRy9emH5cjg6GqQxowDCDCGDYRDh4dizh78qa+QU8ThwKsQDnWTdyvbo0frmO5LSx/IK/oNO\nb+DsjP8iqBFh9Wrp0TmkpGD2bNSpo0cTcTPPi709hg5FkyZo1079wnLGDAQECHZVvDiGDcOU\nKdi+Hf368Qg4OIhd6unTUaMG7t9HkSJo3Jgbc45R6GEb6hkMgzh2zGhdVa0KNzf+KrkcnTtr\n/jtkyPWPZfglgXQobsFT61Bm4FB9EYk5bhTi4vDTTwgI0PgBtW+PlSu5YQfKlMG2bXjwAFFR\nCAyElRX69kVQEDfKnacnvv5abLgSJdCsGb7+Gn36MCvIyA6bETIYBvH+vdG66tULpUujWzee\nFcvvvtPEinv6FIcPywSSLaiQQXtGZfCipWGRWnXH0lJjAjP5+msEBGDrVty+DUtLeHuja1dY\nW3PFxoxB9+7Yvh337sHWFo0bo0MHXLqERYv4x5LLBSPpMBgAmCFkMAzE1VVaRhd8fTF0KJRK\n7NqF0aM1MbWtreHujtOnMWAA+vWDvz9u3waRFwS3pcuRURXarxsrVsSlS8bR07j4+PAb6ZIl\nxYLbZVKqFEaP1jri7Y2OHbFrF4/w0KES8dkZhR62NMpgGETmyy2DUSjw/fc4cEAdPqZ9exw+\njFGjUL06FAokJeHBA4SF4c8/0bIlGjRQuXt8gfXW4A9F3RkhLtBeC506FRUq5EjJXOL7743f\n5/r1CAjQOiKTYcAArVCoDAYfbEbIYBhExYr4/nvMn6+rvIWFllNMvXoIDtZyhFm1CqNGCaYo\nOncOX3wBmawcPf4NQwfj9zTtH28V3F2G4VpNhg1D587w8kKXLjqFN8sNrKyQkYHUVM0RuRyB\ngejY0fhjOThg1y6cPYuDBxEZiVKl0KEDatQw/kCMAgczhAyGocyZgyJFMGOGtNtkt25YsgT/\n/IPHj2Fvj6ZNuW+tDh7E0KES/agyvANf4k8P3J6Pccfh9wGOFfCwO7aNw3wHZHGbbN9enYCp\ncmVcvozdu9VRQK9exZkzBp3tf8hkurqJyuVYvRr162P1aly6hPR01KyJgQNRu3aOFBCnQQM0\naJCL/TMKIswQMhiGIpdj2jQkJ+Onn8TEAgLwxx+ws8Pw4YIyP/6ok3Uhgq0tEhJ8cE6zZVCI\nEycQFoaEBFSujA4d0KULAPzyi4QhFLdzMhnGjcOWLXj8WH3ExgZ9+iAhAaGhiIlRN7ewgJ8f\npk1T23shNxYGI3/ADCGDkTNmzsTdu9i+XeugQgE/PzRujNat0bixRA8ZGXrM0lT7/EJCcPeu\n2M6506fh56f5r4MDli5F//7o3h2TJgkmeZDJoFCI7WskwsKFaNMGrVohLAxv38LZGQ4OmDoV\nmzYBQHo6PnxAkSLSiYgZjHyD2RvCjx8/tm7d+vz58+np6VZWVi1atNi2bZutra2p9WIUGiws\nsHUrduzAhg24exc2NmjQACNGwNNTuq2KxESJPfVZSUvDyJGYPBkfP8LFRfCdImd3x8ePGDAA\nTk4ICMBvv6F/f/5pn2oyJ65Mejr27tX899UrXL2K339HcDD8/aFQaCUHzmUSE7FhA/bvR3Q0\nXFzQoQN69+ZuMmQwpDF1jDf9mDFjhsrIKRQKPz+/1NTUKlWqcM6oePHiiYmJRhyUxRpl5Dri\niaKyFgcHTSu90ucC5OxMqalERFZWgjK2tgaG+nRyordv8/KaPX1Knp5cLerUocjIvNSCoSv5\nOdaoOW2f2Lx584wZMxISEgCkp6cfP368du3ad+/eVSqVa9euffny5YwZM+RyeXR0dN++fU2t\nLIOhD6oXeLrQqZPm76Ag1KzJFRDZRP/mDfr0QXq6lhsnBwsLGLag8u4dNm40pKFBZGTg889x\n6xb3+KVL/CHYGAwRzMkQjhs3DkDx4sUjIiLCwsJcXV2vX78OYOLEiV999ZWrq+v06dOHDRsG\nIDQ01MS6Mhh6MXOmYJS1rLi4YPZszX+LFcOZMwgMhJcXrKxQogQ6d5ZITLhtG86c0dq2waFS\nJezebWC4gMuXDWllEMePIzycv+rQobxUhFEQMCdD+Pr1awAbNmyoVatWgwYN/vnnH9Xxflme\nAEeNGgUgITMzJ4NhFri749QptGqlOSKXw80N8iy/UD8/nDiBMtqxRm1tMWUKrl9HUhLevMHO\nnahYUWKsnTvRs6dgbY8eaN4cDx7g778xYQLKl9fjLEQmmsbm/HmxWiEbyWDwYk7OMmlpaQA+\n++wz1X/r16+v+qNy5cqZMsWKFQNABoTDZzBMS/nyCA3Fs2e4dg0WFqhdG87OePUKly4hLQ1e\nXqhUSad+2rZFSIiYwNOnWLMGu3fzLCzWr6+OcGZjg5490bMnlEoEBup6Ctle2Oce4s+6iYl5\npQejQGBOhlChUKSnp2/YsGHo0KGqI9kN3rJlywAoldxsbUKkpKQEBgbGC3mTAwDevn0LIIM3\nhRuDkWM+fsTbtyhZEra2QOnSWuuWrq5o316/7gYMwMKFuHdPUMDeHo6OOHkSP/yATZvUfqe2\nthg4ED/9xM3/MGQIlizh5ETkx9ISvXvrp2oOEI8clz/jyjHyL6b21tEDDw8PAEqlMjAw8Pnz\n55zaO3fufP/99wqFAkD9+vV17HPevHk6XigPDw9jnxCjsHPoEDVooE4Xb2FBLVvSxYvG6PfR\nI1IoBN07V6/WSMbHU0QEXblCIo7WBw+So6N0dvglS4yhuq68fUv29oK+sSznfD4kP3uNysh8\nVhFv3rxZq1at1P/eQ3A0l/3nLGdjY3Pr1q2yumUd02VGuHv37vv37y9ZsuR///ufQYozGDys\nX48BA7iZl6yssG8fmjfPce8zZmDmTJ7jFSrg+nXutE+SV6+wejVOn0Z8PKpUQatW2LcPISGI\njYVcDh8fTJmCdu1yrLR+rFuHQYO4+yHlcmzbhq5d81gXhjS//fbbsGHDunTpEhwcbGpdsmFq\nS6wfL1++bNasmbW1tUwm41QBsLGxad26dXR0tHEH7dKlC4AVK1YYt1tGYebNG8EJTdmylJKS\n4wHS0ujrr7ldV6pEN28aQXsVqakUGUnx8UbrUH927aLq1bU2ER4+bEJ1GGLk5xmhOb0jBODq\n6nrkyBHeKjKfqS2D8c8/gu/dnjzByZM5nhQqFFi1CoMHY/t2PH4MOzv4+aFnT548twZjYQEX\nF6P1ZhABAQgIwIsXeP0a7u4oWdK06jDMFTMzhLyoFkWZIWSYEZn5d3kJCkLTplpbJwzE2xve\n3jnuJb/j7g53d1MrwTBnzGkfIYNRYBAPSb13LyZNyitVGIxCDzOEDIYJqFtXQmDRIjx7lieq\nMBiFHmYIGQwT0KYNPDzEBNLScOhQXmnDYBRumCFkMEyAUongYDg6islERuaVNgxG4aYgGEKV\n/6uptWAw9MPTE9OniwkUL55XqjAYhZuCYAgZDDMlIEAwaZJMZoxt9QwGQweYIWQwTEalShg8\nmL9q8GBdg2wzGIwcwgwhg2FKfv0VAwdqzQtlMgwahF9/NZ1ODEYhoyBsqGcwzBdLS6xZgx9+\nQGgoXr2Cqytat5ZwKGUwGMaFGUIGw/R4eDDjx2CYDLY0ymAwGIxCDTOEDAaDwSjUMEPIYDAY\njEINM4QMBoPBKNQwQ8hgMBiMQg0zhAwGg8Eo1LDtE7oSHh5uZ2dnai14SE5ODgoKKlWqlEKh\nMLUu+pGenv748eNy5cqZneYwZ+WZ5nmP+WoOID09/fnz5999952VeBZNKcLDw42lkvEhhhQ9\ne/Y09afEYDAYBYGePXua+o7OA5sRSrNgwYLU1NTExERTK8LPzZs3nzx54uDgUNzcshVER0d/\n/PjRHDWHOSvPNM97zFdz/Kd82bJlq1WrlsOubGxsFixYYBStjIypLTEjp4wZMwbAmDFjTK2I\n3piv5mTOyjPN8x7z1ZzMXHkdYc4yDAaDwSjUMEPIYDAYjEINM4QMBoPBKNQwQ8hgMBiMQg0z\nhAwGg8Eo1DBDyGAwGIxCDTOEDAaDwSjUMEPIYDAYjEINM4Q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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=5)\n", "\n", "for (i in c(-1, 1))\n", "{\n", " I = (y==i)\n", " plot(X[I,1], X[I,2], col=(i + 3), xlim=c(min(X[,1]), max(X[,1])), \n", " ylim=c(min(X[,2]), max(X[,2])), xlab=\"\", ylab=\"\", pch=16)\n", " par(new=TRUE)\n", "}\n", "\n", "cols = c(2,4)\n", "legend(\"topright\", legend=c(-1, 1), col=cols, pch=16)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Once avaluated on grid points, the kernel define a matrix\n", "$$ K = (\\kappa(x_i,x_j))_{i,j=1}^n \\in \\RR^{n \\times n}. $$" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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DKn9ZVv+HJCUcMVzC5TQ34FlhRLsDCl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\nbVh1V3UZ84rKSkWxZS/qad6jGy/LlpG5LKw8wsC37ppPl/KTLHz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dFbhUgWAojnM/VPT+i20tmDEbLTusxlZlMUC5HMo2b7cSY7JTR7kM\npnHDSxmDxP7ZZlYExmx/yu+twWKcdJx0cvBl6d9GzO/7sdIZzP3hw/t+/uGso9MgwDiIX4EV\n4hITVM98g9wGqk5QbhMfo9tFsPOHuT4w7HLQXSgcx0dYCv2eM/Vwz2jsAJ5241DUIBMD6b3i\nQh6P4z/EqEjk2ZX+HBKQ+jkPPeaHZFXUCbt+O78dkhm0XY+ZIkczTIZQ0iX2xzRBbFANBJ0M\nY7/AJoySDXTitquuWXv0QcePlcgIL3T6D65n8Q4qNnRFFY0SQPIR3r7Y2dl55c+8JTu3VUqq\ngEWc82WbTVErND79y41fiE2sfV3FqeD3lHEbRjd+gHCDr9/wTAJQ3Z4yRmGCtW3qzS9+i9GS\nylBrpnhntRtSwzmIpvIqrApdvGk1kHOPBV1o8EErU2Rwn4tGFGVQK6w7ik+sr7YimBjdwJ2D\nqv1OZs7pqMWx54WT+2VWKekf3vMqGQvO366JNtmRxDsXZFtXXuAuMcP55N2w4J6IUTQwi7IM\n61JCIazPT2g9fA3zMsoDcfE77iXf9wYAt9qLfHn+a+Wcx42497oBFH73cGHJGdVcZqRLQ6zF\n4OyJaL96zhHhBF0YXGIVrDA6erKHL5WO6Z1KOCY+n/L8x6jr5vWHW1MRJtPosTD9z1tlDfv+\nIFb3GSCkB9Qy0E/BndZrwaAbOUYAPxl3ERYl3uipEYMq3vWo5ig3x63AMoW5Qjc+/YCw5rDk\n0JQ+3L9yla6858mnAzag0ZaZVFSXXjc7eyn4GJYcf9S7U5ZV402pqsHMmBmUpXZmuprKMrPe\nZIfFVChDBcqdcxtCSGw7Aa1kmG6U5LDX1CVlDSvJrDDeoFcCitJQ1j5VA3GpKkPpnFXu3N0a\nrL+9LplZ6qguXTOzImTHhvUORf805mCYl16RzIzfStRZRyvHpPKOMauYWSpnoYWyYWaYNUwB\nlwux8mSlqS0bboowV+i5P4neTbQdA5Wsw5T4gKvGb5vAisr6RBScg9N1vH0wGCRZJTbrKfH9\nuFq1TNWRr6FY/PVJIZhnh3aw4RXd9UUNaxzlpDz06yGoNlvnDjGNjlZRyV2Hm22Dp3y0rl7r\nlPe1j1NmTD5WJl8MvKq9pznKTzkgGxuHNj2OwzGU1a3tAjwSSREeC4/lN5wJyyjKpt1xO+zO\nhcK6SI2aJtgze3MuA9YvF5w9rJbbfca0G+5nWFDWryOVYdYwLyP3mEBJgPKsxrgtmEUlzLXY\nJRrYp9ZoAyVV482wZVjRTEH01sz6Dm1K2ZN6hZ5jNexTzcVOuMIqdC17LM3ByC7hGj1HN8zL\nlnmg1n5CUNZiyVSSbmj9lmNN/AJb5jravczIHxOZWMXn77x3VUOtojS+fUzltbX3VZWwQuFv\nr4yP95nVngEj2sip0toxGSxCtWwntPJvvdE+sAVaZdNuiCVDQy0hSLMGKuYabSMrnxJ/c9xP\nnNsyhM+4PfmMJKHiRTR1ntpStotzyMUeHqJFmijKpuf2660jtbQF+RDG8TBqB+P5sIfTvRLc\nWqNBNIhK6HHifm2iEVx3bXc99FROFJzcIuyrsAnlQBRBgHbMvBwLPPZ+hVlIHlkX6c5UGmlO\n8OPGTA5X9lVkf6DrVQ0X4+CXwI+OvvbEGyZJ4XrJESowlnwTXRmyPUonLnzrIR3DdDQuXbp0\n9/lXL56P1azh8oTCUhfoBazINNkCs8s2TAxMmDSY89gCW3BxwmJCsQBFvYteYnbJ1ywmXNZU\nNZkm2wbAclCQL8ksk4y5olhCwVxTZBQLtiZkSznScxsUNifPqDU6ZytjPfHHAucFpcGcJwcy\n5ucp4GJO0cCBPyWYFfPzFGusJttmrskKtjL2MvQSq31b5lOKBXsFRqMzzJT8gLn2AZaNRm+D\nYj5lkbHU5BOybWrNbgNT5hO2J2QL8oK9CXqB2eWipmiwFdllzJStgsKC4iAnz6DhSsFkTXFA\nvkVTtOeXTtbMz7POmQAT5pr1hMmSzJ36tALN1oQLOcWCepep4UrOQcE2ZAuyBfPzTGBLsy5Y\n5uQWlpCjM9BcydibsNToK/6iKbDaH2HfVBhoMhY55y1zzQGYjCanWEPmz01tz2LN/Rk3es1c\nUyxhAgcUV6i1P/5pYmGLRjO5iJnRaPSa+jwmx+Q0E7YLLkwotv2RWEz8sV/1LhRMLHlGYZlc\niPqrG3mX3U58ZIzJ6L3LzunT4Yzl42K9oYpwfTlGLf6VgR46pPx6w/XRu3pYDm7fdMvoBCKu\nNLC97l4fZfLwpjGoy0ZE1oPrPQp2UAx5jmZQfjlGlm6B0SuHPJGxwrfmMUzJR3g0dnZ2fu4b\nHz79fvl+aBaUj3bR4u9xM8Gp9+s4F6MO1+U1aHf1DFBRjMZqMNGWOXIncy6cmiQhPG1WYsRw\nmwodKFcSA7I/CNgJsdFugwzVbinp82fBKL9fqGuR3z60kRAGFa1+veKzmAAAIABJREFUwGox\njQaMBWX0o2YGhTcm9uoojiYOZIiiVLwQgl+tNy8ONyINj8MEwjR/EHwUb9PaPikp48/aDX5F\nN1uPGx4Kh6AVWtejb3JIPFDddRIb8t8jym1uaCxMBsLvBkccgUh0Pg1U+syINMb2MXBE2mCK\nMuo5ZmNSfxyqFqNzMvMwlV63O/BhW29uW8twCwg6eeL98082INQ7fuqFC3aL+sPI+RLDKoY9\nk0P3dB0+ml5h3fb/foZx/GsU+hSLt39+heoMOx06qjNYJR/hbYxTWze8iUZ5H1ibuRXbjgI0\n+66MjmJblIxdWoL98RYnHysYG3nEJWBDul5E3BnlWrdB3lYa3p82MkaDEoZVZGIRyo3CaAnN\n15I4oaR25cM3rJLdyKa+rkb58MVGS0udidjZV12lYvzxF2nPI3T/TOxwks+tLLttb2I59ySj\nWradtFsBhlumvqJmQDkw06gOJ0bu3UdkPpUC4WsogCSl9JifilTDdSum4HB96jVTLcRtKb1I\ngnRaxqZtpqknaSJSY6iGY3dscOthfyOdDqLby2CRWwFiMT4OnVWUThruWgFjaab4XNJRhAAx\nz1KvyavOXoYhH0mHYmNk4wPRVDBpHorS9D+Msyr20g6fQ9ty4G1I7ZArkTHWszHMDxGM9I2o\ncNhEUId52LBpQqH/aMbo3IJIivBYePTZW0GX6OCvcrAy2loIkRr7/o/VWJniufCHSo54jdP4\nnP/JL84Qc1BDUw7WT8rHCro8bn/ajgRQ9D0OLnAGsPLa2yiWxFJrrxq1FQ9cGL0ttTOBWn8x\nOM9Y+Xy40mJA1yjAhc/klI0fWRo31ux7itpidfT+aO8jcY1rSrCSZLlq30wb9L1zOuK9L5VI\nI4il9ajlWC2tWEngkm4594o2jNGRrzR3o1LgxLk2VfhdBnoryQCEvEIsEBrolHFg3vlQw3O0\nYKIhIgcXixsmIkTjtTDvtqdxetoFxHYGTTPmbgzV0ca+jvwUYjeE8ycXUhi8egiF4L6K6Fgd\nucTiIT7oYx3cufJhbOj0u4nGYSOBWs8ftt/9Na6obK0U7ZOw4uSLBWWiHtLTJZs8XoGBnuUj\n1GKjNtK+I52pUtxA2hlGv6JNDrnYUer4ybuFhXhnd9ZQII+KreT6KmJpk44PE/AwE9XR23er\nIplGj8bOzs4//5cPn1I+f6t0p/O4UUk2M3MDs9uz0W8nhg+Ih+hMV7HR+QOAQm9zmRIzqrnP\nrGiNkFMf99GEnVaQlL6p2Cii3ANnBNP4kyu0pA24HAwdW2C0JHKE9MHc75bprXArX6aeSYC+\nnO1uXFRI3o4s1p3/53ZAdV2/bpOcYgreuUi7l5vLf/BZEGKz8lkHtpWP1y4lGr8xmwJtmGu/\nYVubCjIHzdylnNdimlZtlJOSAiXtIVm1lhMtVp7nKaga8vZ8Dz9eGX/mFG596HioZSTVxNsz\nttmEctiT3y9NhLlPZE43uOihShruTHO+PyA2K3lePiHkyPQJPRjseqoutsXFhYP9XEvfy7t1\nxTceYjMcFttUuHd9lNuA8Fr12A5fQ12HEBnlPL59tHwu+jgWrB2wcXgtxyk2JOiakx/10Eer\n29Su2Ng+MPs/OYYPvT2ZRm9jPOfqjVJm8aaU0RnKWqzuhrliZvyaoKn8ikFZCacMczc3muMH\n3LmK5oOA22JNiSHO0sgRsiXRNleAO9S3RIOtqJCjcX2IBrgz7RS2JHeGWbfFWgVgKm+TnFmx\nT+bUpeexlA1oXAp/7pipYErV4I0609Zw6q2yzvRUYVyihWqZz/FRr7aCXPIiKj/c54D1f9Ft\nsF6FO8fWS6YpQVNZ3y7ljFqNl4xLhW7jJzUz64fuuUjeOIVYg6IumbkEjIocP6bY6KzdHFTj\nDzSuGpiyko1+fOQnaLfqaNpoVbe1EFH4aGX9ysRUzAyNNNBlgKg5UyfxVXs44hRvi0axAvb9\nZjTtfnXW500iS/8WavCBaDIels499BaXoXDw6plozb3pxkMGzaGytNG6YRNBpNLRRtE1GJrB\nT0R1HT6g2zHKh6uB3uozEBm1UW/SxKMPrlesp93V2INQY5XasYtmgzDtQAv2OBlllTEpHXn7\nrYekCI+FrzBbbgj0o3AwV+Zi8DDtB2ce9ANHHTmom/avy2+r3e5f0qcreWl1lCJd1pQNhoEf\nxemJBlWjapShlLBsP3eXvEM1p7Q+QVAZv1DLkaOl90EaVRl/URsxDtWwomykITUYSmcjrVFz\nYb6maiQuvEbX3nDnmHcsOcpqHkWlr6R2QDwl8TxDNR3j0srxs+/bpUW2TicpwxTKRtpVe/st\n1j+auaZ0KX0WbLuPgd+JzVIZ1Bw1b5UcIhBHsGqoGsrGp4FWRvI7aQOa2t3Og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wR7Uf0pIXxS4fLy8if++k++vjzzdqQ0eSKYGNzLTtMG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AG81/Gi8Ojk61A7bPYqLGuKZhnAccoVV1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31yFH/c5bMkEQJ/+Id/+PM///M/+7M/+wd/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\n3/7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p2OdxoNTmQOLNjnbL6hvWY/jitu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\nKTil+Gyc6jdpc2PEglwK4X/6eh1OkDUOI4pvnkuGehW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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma = 1\n", "K = kappa(X, X, sigma)\n", "image(K, col=color(10), ylim=c(1, 0))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Valid kernels are those that gives rise to positive symmetric matrices\n", "$K$. The linear and Gaussian kernel are valid kernel functions. Other\n", "popular kernels include the polynomial kernel $ \\dotp{x}{y}^a $ for $a\n", "\\geq 1$ and the Laplacian kernel $ \\exp( -\\norm{x-y}^2/\\si ) $.\n", "\n", "\n", "The kernelized Logistic minimization reads\n", " $$ \\umin{h} F(h) \\eqdef \\Ll(K h,y). $$" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "F = function(h,K,y){L(K %*% h, y)}\n", "nablaF = function(h,K,y){t(K) %*% nablaL(K %*% h,y)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This minimization can be related to an infinite dimensional optimization\n", "problem where one minimizes directly over the function $f$. This\n", "is shown to be equivalent to the above finite-dimenisonal optimization problem\n", "thanks to the theory of RKHS." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 4__\n", "\n", "Implement a gradient descent to minimize $F(h)$.\n", "Monitor the energy decay.\n", "Test different step size, and compare with the theory." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/ml_3_classification/exo4.R\")" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Once this optimal $h$ has been found, class probability at a point\n", "$x$ are obtained as\n", " $$ (\\th(f_h(x)), 1-\\th(f_h(x)) $$\n", "where $f_h$ has been defined above.\n", "\n", "\n", "We evaluate this classification probability on a grid." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "q = 201\n", "tmax = 3.5\n", "t = seq(-tmax, tmax, length=q)\n", "B = as.vector(meshgrid(t)$X)\n", "A = as.vector(meshgrid(t)$Y)\n", "G = matrix(c(A, B), nrow=length(A), ncol=2)\n", "Theta = theta(kappa(G,X,sigma) %*% h)\n", "dim(Theta) = c(q, q)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the classification probability." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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6XLs/R9j+TTrH1CNz0jnFzwCbHbbOW4g28lYTIV9zSEyx1VeEeVo5H9PuTSZtJi\njdsb9qfdw8aNMr5Lmxj8LN+eR1ugyte58KU2N9/u7+Hi5o6bD1O3sGyyQSY2dz9KCnTRMr6h\nDPmSlpNoM5Vt77D7U6VUc0akXmLpBEbPpW3lbMOWg7tRDoUQ2ony/NrtshCsxEfymZv4Yq/u\nZX4xS06x/TJ7HqWR+gJzexsYqey7BaJWE7tFeyMLas7Epez9gk0zzZzV7SW6PAvg5ELtNrR9\nWFYIIwaWNxunKeW/ZVSi63nfAPznkSFV29hJxfBW1o9YORrpHcSje9k0k9NLtTWH3f3o9BR9\n35ewXdeWCOjcyNCRrCnWuyVmlbh9cCTs+pFfZjOd4JZ0fYGnThC3nRuHKS2mdhsiB1Ocz7W9\n5KfjG0Z4F63blMqJAf+m0zMsHk7iMUvfglrNxheIGou7nw0fQGVzd8mhcJYRWEd0PF9KZaFK\nzmHGetj6huxWjSSW5CQzwqjcXftH8ZJx9Swjw9DHo93DhHWS6Obuy+DPrZ7P3YWPB188Kn1I\nDWcTK3c2VuETwrjfeC2Vp47z9CleS2HgJ9IJeoKiiBio36BG9QzfF0stDH7hsWi6aO0c654m\nYiA9X6P3WzQZgbMb7n40GkrLSdTvZew87FeHYV9b9xby04ndYt0pAnsgVoQC61h0UnaNt/kS\nN52jg6wa7pGd5KWTncjuj0ky8dmXxMvwClf3kC+RQOsgnVYxOpHa/mQMSrgwRK0XD+7sxgN/\ns34Gp/7QOU3Ubsuo2bpINWux7dG4PEu9CnoYT2BIO1xdKDKxN6vVPLaIU92pJbdisda2of8W\n7LU6dPOWTQiuz9j5zOtfVuTyOG1ika0xspIxXYgGOPwzzcbQeBilxWRex9nVTLVIG8pQpN+Z\njrky3C1+NEIIy02VG0Url0vyyctK1VwqDg/CYmfOpiO1RqpTSyxVQZWKS5tIOkHdbjSfiLqE\nVY9QauCkV4jbY/zyGw+WtXyZRo+5/HUfwWXpmj1rMn4Rg2dx/QAlBdSKIrilpalTrP3NW6h2\nlS+lRtzQTmPVLgkV1JCUTvADtGvKO48xpi9g+P1XmIzZr3ol++D41uGJw8zpTtIJ4BpKtU0M\njh6ZzdmVnFysTUPjF07XF+j6gnTuIeWERJLYYCO5E6jmllIhhOXgDo9erxjcFb8ynqp8s8Uh\ntNTtrivacGS2pZdXqzm7EuDQT2x/l84zyEk26vIyX+iroIY9Vxm/hJ0PG573qicAACAASURB\nVIhdiXfoXyWjV54lIRs/dwZFMK0tPvr2LbtrnsKAVkpagr1vOmXjXVbMUK1Wc+QsY2cy6wVe\nfsDiLUDJd2etOtr3F+fmzaSV/NKVnGRflAo2+aH3iZxfT4leLtnMeDbN5PoBJvwh8SBlw/Ku\nWgTay1Ft5VAIocA62oeyQi71vxtNA71k71aNhuJZk5yb+NahyXCixuuel5MtWw4akX6FHR8Y\ntSUT/BNPSnbffZWtlxl42wCWVcDoP9h+Wddh1Vm+2MeGKTStZct0KoeSEn79gwV/ciYWV1fa\nduax5+nRz56X8JKvtKHPG98xqjeN61k6bGYugF8lJGmznJoNeXQv65/peHGPJ3l5SL/znujV\nQtFXwTJOLyXxKEEtaTSUyIHaWs3FBZZWWCyj6UjbjfOCciCE0Hrs8lhqR6No5S5MH23HZ3vI\nkrobPNERj/qv88doiV1Edz9GzcYvXOK0pJO2lw80yZK8hx6SLg8adl7RCeGTaw1UUMPlNEb/\nyYl3cTP7y1BYwNm07LNkhVdUyMNj2LZB1/L3Kjat5qkPeeQt86eb4fYEGg+AryyYTDFL9vN2\nV6ljt62smm5fLuJ/y7l8A6BBMI8PZeZYXF0MPw1LfhEVsacYEMkDG32yk17cdPPjExKqHkXM\nBExqJpuScoGUC5xdARAxgJE/k36FPHNBq0Z0N+f/XC2ohutCIYTWcKdJYFUQ6svSidz7p7EW\nDm/CvzsncuI4QS24ecYgc4dPbSYuxS+cgkzSr+Dup8tSnZfKb4OVyu5YSQb+CkfTb1cwjPfg\nd5lV6LkkVp9gQnvDVjkBk/y1W6l2Fn4jEuCPTwxUUINazY/vUL8PzXtaNpD8+EAoNB1C49Zc\nOGH+lBOJ0u+orK2oiJHT+HuH7lBcMm8uYNtZ1n2Nm6veha21ndrXauoT8q8xJLkYp5drwenV\njHKj0LrRYrfyay96v231NG7GUL+31WfdmVQrPxohhBZzB6dOr2SGNuL00/xwkF1XyS4ksib3\ntWSi61rVj/cbV4mr3YbOM2g5iczrLBrOpb+1mudfj15v0OEJDnynrcluM65e+skkw1CqaxEe\npv1ZHjyqFN8YncwEyfuy6U9aqpu1amfhPVytZoNM7hS1mr/+Rw1bhVD/TSQALry6gveHcf28\nmROL3WXe1+1PYM43BipYxpYDfLeRl0YadNabgdTMsEAXyyGHzk78MorHO7Aihstpav8bW/ql\n/Tqe5a7cdsVycrEodYOGrBucX2v1JPTTot41VIcFohDCysLuC8EqddWp689/9AOxUi/xw0SJ\nkvGJx0FF2mXm9iJf71Ei4yprnyLlvGySa8tp2I+EI2RpP46e7A4kJQWJyEInFSNv+9XnKj7i\n5xVautQz0jzb1M7Cr0bWLVLlu0Yv4tAS/ILp/igj37Mus7TEqBG8fpTohRxfxckNyDlA1W5n\n8L7KPoyyARfNl73ogj956QmpSSjYP+vITdeCcy2jcxidwwAV6oGcTuVEFrfO4exGeBe6PMeS\n8RLJa+RIOIKLh8SPQoGasiEc1Z4EMCkxeecgAuoF9uDAt7I/+J0fsugeAxUsY/9/y1WYUEOb\naTx1kj7vEtaJmg09w1t/GbVbMg7i+QFE3b5RNlR0h2lY8UnWbEHZHVdNSRFp11n3L96KJF/J\nC9Ii3Lzo9Tgz1tHlfukO/sH0mWxmkKvya8pzFVZKyz6oVLS8j/vX8twFnjnN6F+p3Zauz1sx\nQnaidXZOr1pEDLB2mgK7IFaEFU813xS0iPj9socUPMjVaqMQQKuJHEzzCahU3P8BaD1Ip4Lr\nQWYu48btJ1BfD14bwutDAe2qokttGoZwOUliSDdXxo0xb/OU/KuWf9mnMJS6Ft5B5tM+Aylx\nvBxMUBSRQ+j6PD61rby24cpq8vfcvESs4V/YqybTl5FRw8yOgUr+BuPiZvB56l8xNZ2EU9Sq\nQYik1dRCF5uyc+1oO+k8g6STHPnF0v6XNoHmoUzvKSYoiltnjU3zKieG/1BdgwirP0IIK5IK\nksA7MH6xUCo3pSW4y/u2uPtRIB/R5uJGz8cY9xnuEqu/yZ2Y0J5DV4hPI6AeXZvibZhpyzmM\n2e9xz/MUmgjxv16lYUfz+3ySfwTL3V5sQOVE24fYY1kOuOJ8Eo6ScJQjv/DARup0sO5aBjP0\nZ8pOjs0j5i/SL+MZQIO+dJ5BY5NnBdO3H96Oc9ulL9G4rWH/UIDD+/jwVQ7u0cpE6yg+fI1R\nLQ36GEzRkk1EO/qaqpwYNZvmEzi+gIsbyZPPLqFDDRDajrrd8QqiYT/q9+bcara8ocvfXbst\ngz4jcpCNs8q5SU4yPiF43cFxP3c2QggrBseRQA01GtgYC+hVi9ptSDxu3O7qhauXkhB+EEMt\nkw0VvduiK3TTzxYSatxzwBh21OXl99l3WNtWP4KZHzD+ARJM/oCmH7zZv3BF/K36vMeVXUrL\nb1Nyb7F0AjNipJNuWoizKx2m02G6QaPCGyz7sPvNkBXCwTMMvChuwL6/eXEkxXqPJidiGP0Q\nP33KE/oJEvRiM2zcRCzn36bREBoNITuJX7qSHmfRKQlHAYZ9S70eAE1H0XQUGdfIScY31Eye\nNgUubWLrW9w4pH0Z3oWBn9Cgr42jOTBij1BgD1reZ+OJOck8uIlmow2ycgQ24cG/8ZX3M3N2\nJcAO9WG7dWDvGpJOcGgjl/ax7xLjHyj/qBWImzednra6xHp6nC0OjGUkHGXfl2x9i8Ozrd7S\nbTeOIVLFKMe+TM97DVqKi/houoEKlvHS+yQapw+6A/AJYXo0baYa59qWI+Eo8/pyfp2uxb8u\ndTrgW6eklCMJbLjA/ngKLY8kOrmYhcN0KgjER7NgIDF/WTyEQItYEdqVu2878MpOjswh6Tgq\nZ0Lb0eEJ6boNre7nxCIubrR6/JsxJJ1k0kpSL3E9muICajUlvCt1nLg+SPscbUrTfrqsNBYG\ntht2M7B8hlKnFZTP8lk5a/Wcm6yfYV1xdQ2Jx2g+weqz8tNZMY1zq3Utzm70eoM+75lJy6r/\naXT7lJDBnPqJ+OMA4a3p/QRRg4w/zBO7SLomPVpuHgv28+BtF1MlP3wL7aX22j70DmbsfEb+\njxOLWP2Y+f6lxayZznOXcNWlsPnzNK9s5srt/exaXrzbhxmd5T/hmBUc+I6Ew+RnSjhQlZaw\n5gkiB4vtRqsQQmgnKloCq8QouuV1dn+qN4cjHJ3LgI/p+ZpxT5UTk1ay430Ofq8NJXRyotSC\nG7a6hEX3cO9Smo6mRaTBoYEvsXceWSZrARc3Hv1QWv9M7J+6uVsQ55BgroNpt0om5i8la7EC\nlse/laFWs3SicVGgkkJ2fICrNz1esWKoiAHG7pAFOez6mZPryErGO5CWw3BTzOt2+hI3bv89\nNX/KUCPNs81eahdLqYsHTUeicrLoCSUrgcvbCGxMQRZ+Yb9dqj1tpYHfzK1cnttASh7v95U6\nfcPzRH9j5hK5t4jdQrMxlr8DgRDCclOhEliFN91TSwxUUIO6lC2vE9peu7FfkEn0N5xbTeZ1\nPAOIGMiTxyjIojiPy9vYalnWr5JCfh9DQH0e/Jnmg3XtfiG8sJnZ95F4VtfoH8Tzc2nSWddi\n2bLP7J6faR+z/ctDdhLx+ynMokZDwrtI1I6V5HbVIKsJbGr1KbFbZEvj/fMvOj9jewHjjGt8\nO5AUvciK8zvwUfTzKDJNYRuq8MoQfcmsIDn0DiZiAJc2W9R5xYOamp25eL3glKBWSxS1+ngX\n09rQsKZh69lV5lVQw5E5FBcQMdB8qU4BIIRQIMv+/8oeiv6GyEFkXGN+f1IvahuzbpB8imPz\nmLKOut0N9kIsIfUKXw+h3wzu+0ZnFQpvzXuniNlMykFKiqnfgk4jcL+j0jZbTVEuG1/k6K+6\nVVqN+gz/gcb3mD/XQr00wqMGzUZbfZZCgdjCbK7tszHmTa1m2X0GKqghWzHdbOOOtlyrUrnn\nO+b0sChr7u3K1Tvom1oqXdqxqIS153m2i2Hr4Z8tncz5tZxfi6sXfd+3bvHuqAghtJ7K2Qgs\n9xokJZfV57iQiocL3cIZEIGTZeX2ANRqEmX254CEwwArpmpUsBC3vxi3i16Z+EXkx074451W\nz6/Gx6ag9O3fUbsZfZ/RW9s5Ez4Uhur62GT/tHwJWKGLcLWapRO4YJgvNP0Kv49myjoiB8uc\ndhvlLCW932LfV8ZZupxcGDUbzwCrp6qcL9rabNJlXD/AtX3WnRLanNpDzP3sTO2lRqlqKnpd\nGNiER3bzXTPLzzBTBNHUBp580ropFeWy+VWcXOj2onUnOh5CCK2hmkgg8OtRnttAjl4isXah\nLJ1II4UbYn46xfl4BeHkjLpUaVupuICbZ4jbAZyj6ShWn6dJ2cEPc9QvLDnzxdB+KlTmsqFI\nsXUW9z9j3Ggu4ZnlEmj6N6xM8/OFdcYqqKG0mA3PM0OxnvnRuUR/K3u0YT/6f0TrB9n+DufX\nUZSLsxsN+tL3fRsr3HkH235UgYTDSkf9wsk0rOsc2IBpv7LlSy7upjCPwAYMvY+2g4wTWGr/\nrJIR+qbbh0Y7i/qUx4+mVlNqNLA0oAKUiyD6Hv6SvDN0fJI6Zcthy59k9dj+Lh0ex83bfE8H\nRgihxVRc0m1734lXnuWx1caZK44mMPg3TjxlWHgWTaHV2ez7iltnATxr0nIy/T+iRkOd2dOI\nwMb88yGQi9cwNlymocF4qL661KL28t9ftUEFgeQ4Mm9JlwS0aQuw8pd9CpxbI3vo1llSLhDY\nWPpoQSZ/yz/W12jA2AUAtZoycSmlJRRk4OZjqWO/JI2Gses/0oc8axIuWX3JAkoUs7y2fxT/\nepxfS8ZVvEOIGEhwC74ZYWBx3DOHLlN4aJ6soVjfp4YyaZP0plFIUmPbArHtNNMamXL0YI8K\ntVpG3nrmr+XIdo7OZeB/6PEqQFBzMq5aOSEozObqbhoNsfpER0IIYZVSMffjt7ZKl1a4nMbs\nw7xotD5Y+wSH9QrE56Vx8AdiNxM1VjaLSfoV4qOBhTxgpIJlfJI49EVcdZn7rcJfz7pnp2Wf\nXM9KJkvRqJB1Q1YIY7dKp2vV0P1lg1KPTs5W2ELzM9j/FWdXkXEFzwAa9qf7K3gHs/ND2VMG\n/Mf28PyARkpHA5vSajLtHtG+zL3Ft00l8rdELyIokpEf6P7QWvGTHDS07H8mmFa6KKcc9niV\nS5skjL8+odRqqjGilFGfK1NZMJ9ppsP0ZHdfdgCoS9n8GrXbEjmY9o/JRigp+6zm3IFhmHcW\nIqD+biMhizPy6Si3GpWivbjRQAXLSLlAViI1Gkgc8qpVVjhpJ7I5hdOoeQqbam17eBFofXLM\nqkBdyrH5LBzGN434oRVrniD5tJlTPGrYeFR5JWDzjS4znp87sOMDEo+Rl0bqJQ7P5qc2/LeB\ntAukkzPDvqbJCG4cNrZhWkjDAbKZEjwDjD2GjsyRzWK29WuKrawSWBm4ejFtG33exS9M2xLQ\niKH/5aVrtH/UtPsPPD0SYytBF6KXMUGlb1DZ/zVA8/F0fFLiokHNzURuiNRr5hArwkqngpck\nKXmKR/U9Kc6t5q+psl1P/SGREdvJWd9KlYm0z5sG5Rq5svQfj6ubJVbQ+Ev8s4q4BLz8aDOA\nqO7WWUHT47hxiOICgppTu62ZCHFTivP5Y6zBA7rGZ3b0r7SeIntWg76cWCh9yDuI4BayJ7r7\nKk3GTfGoAqseIdWkCkRRHkUy36LSEvZ+wYbbNRiCWzLwE5oMt+KKrp6MmsMfoykx/HI5OTPy\nf3gYfmWuR8uOk5fBqbO0vV1XS/On118XSm4fGkcfoneCAlatC1086PcB/T4gNwVnV9xv/0aa\nT2D7e0ZVnLzIXc2o7V4T1+R2iyc8iJuD2DyK1U4YCltZ+pgRP9KgDwe+58Yh1KUEt6Ddo5z5\nE4VU7K5e2rxuAnmEEFYWlWWSC/FGpZKtOlu7LN3EsXmsekSpOq1kXQjDUvLhKC0KlI9KE1KX\nf3+CnsOpRgKNrKDqUua+ysqvdM/Bi96l+WAe+x3vAG0fBXKSWfM45/S2UUNaM/pX6zJTb39P\nwkxVUsiqRwjrLGvhbD2FvZ9zSyocsM+7StERdbsrTUb5qBypFy2NfNNHf22afIrfRzJmHm3k\nH6hMaTyMR3az9U3idlBagsqJej3o/2/q9zLuqVyndvVj/HKKojwCG9PlPoa+xg2pbCpluUzL\nXoRK7hHa3Y/GKIbPxYPJq1k83LgeS6Oh/W4d6Jf7p9JQJQW6f7ecRMtJBkcVIp2ALs/pxFgg\ngxDCiqQq9qOCvOlUhwMyOSHv0dyg89LY8LySClrGGFb+yFOSh1pyqhEyvjaSuLoxYgLvzkpo\na2A4k9wI/P1frPjCeIAzm/hmPNO2mVnbFeUxf4BxhvCkE8zvz2P7CGpu0WRLCmVjujSHBsvs\nrrp4MGUDS8aReEzX6ORM77fpPEPpirWa0Xw8Z5ZLHGrYz8Yn/qQTtpxlhFrNhudoOsqM1deI\nsM5M3UJRLtmJeAfLpgOrIb0BreX6Qe0/Ui6w/iMOreD1f/C+rT6Sm31GzqUSC0QjjbRvoEVw\nC54+xbH5XN5KQSZ+4USNo35vPjNnuvStQ+4taQtnUa6ZbENx/5CfYbzWFhgihPAuZNZgBiyg\nyCR7b/tQprUF4OIGG1N1GTKYTRNYtgzjLJZuFH6H4n1dQ0AIY6cz+D6CoH4EnhZFyudmstwk\n442GuB3EbjFTzebQj9J1Mgoy2fIGk1dZMgXSLpMvX25bX+RMqdmQJw5zYT1XdlKYTc1IosZa\nVJl89K/kpxO71aAxoBGegSwYhHcwjYbQcpIVnqLlfhDSkp/BxY3GqxRLcPUy88Zb3sehnywd\nLfk0y2Yyba7V06hU3Hzo/Ayd9QKELm40MrRIcDOGz4II78rgz6nXU9delMv8/ma2iOP3sfZJ\nJvxejknf/QghrBiq1DexV31WT2b6auL1xG5kU+aMwk2TqjrtssypVrOQBxoQ9z3P5KFNFhlF\nzA883Yd/ZM9p2o63fiaoDq1D9ZdvFoZD7NlLoXxc+eVtZoRQIYDh4kZKCi0SEuXUnWaLDauc\naDKCJiPMX0gfdz8e3MyF9ZxfS04Srt7ER5N6QRfkcnIx+75iynp8Q7lxmKu7KMymRgMaD8ez\npsSAQVHWTUABuS9UTjIJRygpIqg5AZHSfRRo0Jf2j3JkjqX9D/xB3++obxgyp+Soa3bj0Gxd\np/Kj8EhlRPx+5vVj8iqdT9HeLzT+22Y4vYTBnxs4FgsMEUJoJ+6wSoFDG3HpeXZe4dwtvN3o\nFm4YmGdzmkgT3Cn4nFfe5V8H6JyFbySXWnLKwOHNxZWnfyL+LNlX8Q+kU3/6jKauwRfPVAIV\nwiFyFIuhmi2VqhDAUFJIbopS9acyatTHxZ3iAumjgU2k28uPSkWT4VrnlN+GkHrBuEPiMZaM\nxd3PYPPPzYfBs+j4hHHnoObU6WhQxsdmXE1SZuemsOFZTi3R7ePW7U793iQdJycZv7o0GW5R\nCaORP1Mrir2fk51kfhrF+aTF4tbKoFHfKCodZWGbHNolYTfgY8EXrozSYtY8zvOx2g/u5CKL\nzlKrSTgihFABIYTl5g6TwDLcnBkYwUBJ05Nt+c/k8SVrAFslDrh58O4cht6vazEXF2g2IrBY\nMbbCrIwpbGWpVJbupLj5EDWOkzLWJks8RxKPkXCE0hKCmlO3m9UlBhOPcWmT9CHTFUJhNmuf\nxM3HwJ21KJeDP+lqpOujcsYniKxEK+YTZpgVsyiPBQONTcTX9nJtr/bfNw5zdiUHf+SBjXgH\nAeTc5OQiEo6iLiWkFa2maAMQVE50f5luL/LnvdJbpMaTN/kkjcr/ovcdNPiyGfnR6DUq+dGU\nXw7rdsPZ3cAdRpnM61zZRcQA1GoJl185lLPzOTxCCK3nTlU+Kzjyi33GcfWkKF+XR83Zlb5T\ncPPk6ilc3GjXibHTCbstxdZIoEIgRN3ueAbIrvzMpq5u2I/rB6QPhXWWWCqXFJEZj7Or8fP0\nkC+JjzZyhgfoPtNgE8eUtFhWTOXqHl1LUBRj5kvXeZTDqiL1Gra8TqvJWp2I28GyyWXhoMa4\n+/LYAQ7/j9NLSYvFxZPApvR6gwPfGUWEa6nfyzjRzKEfzWyUakg4woqpPLCBsytZMc1g23rH\n+wz/kba3Y81VTuZjNFHcdDSVQyQTy1iej8ZUDrHp5uDsRv2exnu/yqTFwgBUKpzdLK2wVdN6\nw7QjIYTQ8chOlL6fSdLxSVLOkxpDhslP3MWd5//GL4SYzWTfokYYLYfRPEzXwRqTj+W4eDDo\nM+kyqG0eJKyzRLs+XV/g8GwJHVU50dcwN1ZOMptf4/QSXVCdszuNBtFtJtejObOcgkw8alCc\nR3EBKhUhbejxCq3uNx5Zn7xU5vUzjo6/GcOCgUw/QK2mANlJRH/Nxb/JT8c7mCYj6DzDeKmq\nHFcgSWY8N2MIbkHKBRaPoDBHtmd+OrGb6f8R/T8yaK/Xk4VDjRWudhsmLDH21I1ZYemsLm7k\n7Er+vM849VpRHqseoWZD6t/O2VColJhTS5upEkbaakD76dYJYdmbDG3P1d3m+9dqRmh7Wybm\nMAghtIa7YC0IpMdZ4S+Ycp6JS4gIZOdPrPtQJ4d123HvlzTuBRDSRKlMvCGSHjHWpgZt/yjq\nUra8VlbQBmdXOj7FoM/MT8CnNg9sZOkEAzVy9WL49wbpGLMSmNPdOH9ySQHn1nJunXEucRd3\nxi6gxb3mr77vS+kcMQWZbH+HiUtJPMZvQ3RugGmxxO/n6K9M22qQ50cy549Zcm8C7P5ESQU1\nSDrW+oQwPZqTizm/jpxkvINpfA+tp0js81mVdGb3Z9IJSNWl7PpYJ4R+dcmUCQrSENaZQZ9S\nkMmFDaRdwsWDuj0IN7TZSsfa6zXeMHwdatqvIrC2bnLZ4167R80Loasno+dYnTDCwRBCaDEW\n+3bd6bhY88x8eRvfNqXbA3SZwqfxHFnOpllcPcK1o3w5gMjuPPoRLfsYnyVVLNcqj5gy5J49\nOkyn1f1c+YfMeDxqUL+PFfueYZ149hwxK7h+gNIiakXRYqJBOYWiPLa8Jl9FwOQporiA1Y9R\nvzc+MvuXpSWoVKiclKo0XthAcT5LJ0g4w6fFsvx+Htmju5tFDMKzpu45wEI07zFuuwVdZW6b\nzm60fYi2D2lfZiey5zOu7aUol4BGtLqfhv0B6wK4FaoNl93k0y4rLYK9atHzdTrP4Mwy1s8w\ncMOs35vxi3X5zjSUfamMxc/EipEgmafU7h40ckZqSWo04NQfRA7GzYdtbyr1dHKmQT8Gz6J2\nG11jaTHZSbj5iMhCfYQQOh61muHuS4EFliYNeals+4Zt39B+HCfW6jI8qku5uJs3+/PKYnrd\np22UrxevQVLtbCuN5OZtUTFbSVw8aDWZVpMNL3qEfz4kdjOFOVZXvCnI4sQiur+sa0mL5foB\nzq8jfh+pl1CpCGlNWpzsCIXZnF0p6/1wbR8JR7S5b9SlxO2gdjsub7NihjXqUysKsEg+Ty7i\n/FpCWtPxCSIGSveJ3cLSiTrVifuHI3No9zAjZ1O/txXR+grRJkW5lBaTcp5fe8nuCvuFMf0A\nvnU4t4YVU42Tbl7ZyW+DeeIILu4S50puHOpTR/aFXeMrrEpGkB7H9vfY/h5uPhRmS3QIac0D\nG8lPwzfMQO2yE9nyBmeWac8KbkGPV63LCXT3IoTQ8XBxJ2IwMRZ44Blx5C+JRnUp3z9Ju8H4\nSIWqVR/OrWHpBD0bnfXB5mW3/uxEVk/n/FqDo2o1iceVTnfx4OZZpQ6Jx6jTgYJM/hhrnQQC\nKhWDZ2kXlL6h5kPXspPITiLlPGeW0X2mRKKcrBssGSfxNHV0LgGN6fYSx+aaN8AC/nVx95e2\nxAI+oTi5sOYJWRWs35Oxv+FbB2DL69Kpp2+e4dhc6WzVdwoN+irlRQRcPCk2Sf8qqYJA0gmy\nbhgnDEy/wq89DIzLyadZMY3kUxbtKNztiOoTDklIK/N9LCcnnYOyJr+EUO1/Nww3BeXWfAqH\nKo78dFY9bKZUnlk0Gz2FOczvb6yCltCwH2rFrSJNtvNVj1itgh41GD2X5rfz/zQZad3pe2dx\nZplx46H/ydoU9n2Bf10mr9bGRSjg7MqoX2g+XrZD1FjS45R2wer30W6XZlyTDgXRYJpStSiX\nnR/xQ0v+7cXMEH4aT6xh6STN91DzpdV8gY0JlXcHUzgkSUAkkYr1Aq0NfjhgUsF54/PSW6x7\nZ0kUjXI8xIrQkVCXcm4N51br4rnsxbV9hD6ge1kHTGIkNCj4xVShK9LZVeSmlHcQTaKWg99z\nU7HQvCTObvT9QFsaWY7dn+BVy6JYOn2GzKL9dINNux6vcmIRWYqOJ0Zsfw+/cOp01KUFlwtB\nAXJTSLtMw/48d5GTi7lxiJIiglvgHUL01yQcBVA5Ua8ngz4jvAvhXTm9VOJD869Hn3fNmFhT\nbqcU0K/cKzElw+IMuSnM768buSiPo39xfBX3/0iv6dpGidB7ycgK/d6UI8Rw/CI+ry1vJrbS\nQHHRMMg0L012d1qt5uQi6naTPuowCCF0GAqzWTLOlnIDlvDnD9xK4PUfaGXsLmLJpmCVe+Mq\nK5AluLhrAyckyzsaYVRF1asWY+YS1snAYceU/HTWTFfqIIlvuLHrSmG21V6KN8/wSzf8whn6\nlXZlqRy/oTnq7mdskGw7jZxkcm/hE6rL+ubux0M7WD+DM8u1H4tKRaNhjPgR72AzqWfKdv6U\nPzqjo3+/KKGvpSX8PoMmfQhpAiah98g5lGqwJFW3Mp4BDJmlK3BVTrITKMzW5TJPi1X6k6ec\nt89FqzNCCB2GdU9XlApq2L6CM4dYv5fQcLNrwYom5yZHfuHqbvLTqRlBi3tpMkLJgdzJ2ZrR\nVcYP6CoVQ7+mZgR7Z+kyfyrgGcCoX7QV5YKa02w0ubdY+yTnzBlU31aB3wAAIABJREFUbUiT\n7eyGWs2NQ9yKwdmNOh3Z/Bo5FqQrMyUznj/vZcIftLiXmhFc2SndzcmZGvVlB/EOlhAt72Am\nLiU7icRjqEsJaa3z8wxpg7ObrNU69PZGmF8YwS1l9xojh5B5nVO/k3wadalsSqCSQjbPY8DH\nYIFDqeE8bv/D9Ftueax9l+coKWT7e7ZEiZpSlKsTQuWnCWcpPyIHQwihY5B5XbYgrB1JusYH\nL/PTkgq/0G3SYrn4N7k38Q6m0VDtdtG1vfw+Wmcru7aXEwtpNoaJS2RvCCGtpds1eAVRlIO6\nBM9AIgfT/lFOLubMcnKScXajfm96vUnDfmQnsf1di6Yd0opmo2k2WvsyPpqFQ8jPsOhca1E5\n8WMrg7Qs5YkoU6vZ8DzNxtJyEsfmSfeJHGKdF2QZPiEGoZwaPPxpM1U6FZJnAK317PGDP2fR\ncAl/mZDWqEv5ppFFG21yUlpJdJ9J24eJ3UJ6HBc2cEU+c70yHv4GNZsCGys5ioe2s/EqdxFC\nCB2D69FKqwk5P2xTnF0oUTSrbVhJTjb4YEGwoOQjcuolYjeTn6GtK+QrE6pfUsSG5zj8s+7G\n5+RMp6fp/Y6BCpZxdiVb32TwLImh8lI5Jl+7J7wrj+41Fo96PRn+A4XZuHrrDl3cKFvY3YiO\nejUciwtYPrmiVLBBH1Y8aHwDLGf1pexErkfTaAhtHuT4b8ZHvWox7OtyjW/K0K9IvWicDcnD\nn3uXGdS+bTSUCb+z7mmD7d6IgbR/jOWTLX7Xt/+aRqH3mH5dFSLuyxNT4RVIy/sA9n9l0/kA\nNJ+oS7paUsjFjQS3lHaKcfWivVSWJgdDCKFjoGxsCWhkUWpIlRN12xKnWK2gqPBm4VWQqG9r\nVgKL81k/g6Nzddrm7Eb3mfT/UCKT8voZxqVxS0uI/paEY7J+Ewd/oO8HuBnW6FGr+WMMV3ZJ\nn+Jfj/GLZJdQRuVkLUyn0uVZWkzUvYzdbH1RLBPbLEjYDwMiSb1oRbyo5WjcD0fPJbgle7/Q\nZgBwcqbxPQz9r1KJwczrxG0nJxnfMCIGGpdw15BynsTjoCakjTbnnJsPU7dwchGn/yQtFo8a\nNOhDp2eMw+SBFvfSeDixm0m5gKsndXsQ2o65va3QfsnSVKb7hWWNEvuFyHy/rfKdKSm0qNyG\nJDUbMuDf2n9f28eySdLZjABXT8Yvwr+ejRe6ixBCeLdz6zynl5J8UqmPaepoSdSl+MqUEtfv\n5ekpuRY0y+rpxubbkkJ2fYyTM/3+ZdCeelE2bfg1eVf7ojxunjZORnp+rawKunjy+EEzXhj6\nKKdTcfWkQV86PkVTw+iFJMW/jDSGt3WvQAbPInIw+77i5CJykrV1Xi2vTGAtHn4ATs70eJXu\nM0m5QHEeNRoq5SopKeTvlzn0k85pw9WT3m/T8w3dc0baZVY/ymW9xDcN+jBqDgGRODnTZqpF\nwd9u3jQbo3tZWmKdi7RRbIlCxL35+IjypJ5xdsPV01ILg+4sd1rey6DPtd/aa/uY20fWE9Ur\nkB6vGnxYDowQwruX3BTm9TGftN/JxYpq9bHH8fAmXzZSujQwsKRuXYunqCPxuOwm5u5P6fKc\nwZZH7Bbp0GnM2f1Mbyyx8v5DxXmkxUoLYUkR2Qm4ehnMqn4vpUtPP0BwS4n28ueAzM+gRkN8\nanPrLFmV4pLkqfeuVU7adZsy6542rq9blMfWtwB6vQmQk8zc3sar6rh/mNeHxw/J5q4zS1GO\n+fLv+pxdQb0eBi05yexdR+pVPGvQpA9129o4E6up19Nq77bIQYyZr/1KpcexYKBS2p7cFDa/\nRmY8w74p1zzvCoQQ3qWUlvB9FDk3zffs9AzRFu/q5KTx9I/Me51c6U2tnGefxcXgS2VhpIRc\ndT2gpJC4Hbp4cLDobUlSs6Fxi/Ji2PRCWTfY/Boxf2mNzc5ueAZQvxcdn6Rhf5qO5NwaiXGa\njZFWQSCohUUzV6C0mC2v0+kpW6L4bcPy2nkakk9x9FfpQ/98SMcn8Qxg13+kbcuZ19n1MX0/\n4NpeCjLwDaNuN/PlfIGCDDa/zuWtZnK2GGEkPXs+Z/u7Bl42rUfwxgJ8aiqGGGpQqGJoCb3e\nInaLdTu659dyeql2i/HvlyzyPo3+lmZjadjPysndbYjMMncp294yLxf+9Rj9K/3/pQuTtoTw\nZsy+SP+ppjEH+RMnXnjrLdtcBHIVJ2v0VpTNlXJrrHo9jHdDSgoN6gKaYpTIOz2OnztyYqHu\nDlNSSHYip/9k/gC2vM7Y34gYIDHOjYOyD/eRg5SCDcpQrtx7PZpjC8wPYi8sNxdruLhR9n5e\nnE/cPwDnVsuefmw+X9Rh8QiWT2FeX76qLxv/UMa5NXwWxKGfSLlgnZTofw8P/sDmV419TU+s\n5b2xXLdkzHKmnmnQh1G/WG0xOL0EoCBT6QM14oSJy5PjIVaEdymnlyodHf49DfsT2FT7M2s0\nRKksghGBYTStxWfzuf4eS7/n7F5yc/JbNM2bMiV/zBjN/UFy2adstDMTEG2YrCtyEE7O0iYv\nJxfaTjO2wgHufgz/0bjx7EqlrJtetYyLuG14Tsn2uPtTwjozeQ3fNzeuXJF5nYVDaHwPfd+n\nTkeDQy4ejFvEomHGXi0qZ9QlAP71iBjAUXm/VkCtJvWCUgerMIr3N6JGAwIaS7Tn3uLEQm4c\nIvM6qKjZkNptiRqHX5gZNyLNzLPkH6CMLPfZifw1BdSypR9TL7JkrHUW0TLKvoclhWx7R7rP\n+X84uQ7VCKlj9nUlbfcIngH8eS8l8hZOI1IvknWD5NNWvH8RUC+E8K5FLkuxhqwE9n1F0nGA\n4Fa0fYhr+8ycoqFuFHVu3wXDInjxC83PO03q8daqn3zkYFSvSj+8u7jToK9BS80IOj1DtNTW\nRrcXGfgpoR3Y/R8yrgE4ORMxiKFfUauZcWflOu+tpxgslfNSOb/ezLs48B1ZN6TrN6nVnF/H\nxY0M+ZIuzxkcqteDJ46y699c/JusG/iF0fgeer2FTwilxbj5cGa5GSFUqXD1MjM3y1FQQaDT\nMxKrlPNr+esBgyAQTbGnTTMZ8LGZeheaihweNawoRqRWs/FFmk/E2VXi6MaXbFRB0KX8vHFI\n6QdxaDOtJYXQlHLG2jcbwxNH2PoWF9ZZ9K6STvJFmEW24zKs6nyXIoTwLsXFA+Rj03Z9rLvb\nxUdzdA6dn+VWjM5+5+QikZPJ2YXHK2pfPaQ1baZybL7EoZ6vG/ikaBjyBU7OHPhO96zs7EbX\nFxjwMSoVnZ6i01OkxVKQRY0Gst6Mynso4V0NXl4/qF2iKZB4DBcPpQ6lJWx8gTqdjJM7BkQy\nWmYXDfAMMHPdOp0IirIoUVx4V26dI9/KQob6XPqbHjMNWm7GsHSidLh6SSGbZtJoqNKArp6o\n1XgFWVeVLyeZ+P3SDkpXZdyAdUjFnwC+oXS//dbMJC9VPKph3wlW7yQplZq+DO3OwLq2OkYF\nt2TET/y3AVgs71blj69ti/9PQhZnb+HiRJva+FX/1DRCCO8uSouJ3UryKTxrKcUhGT3zq9VE\nf8Pk1Yz9jZTzOLuw5S2J+q2NO9Nab1NdL7O2XSp4j/gfzu4c+cUgjrDHq/R5T6KzkwtDvqTb\nS8RuJTsR31AiBhpH3ysEtGmoYeI7o3D0qIm51ZSSIvPRX5rVjEpF8imcXAhtT+dniBqndEpY\nZ9y8ZasaqZwZ+Ake/pxYaGbNEBDJpJWse5oYqYJaFmKaWW3vLDNJWxQydAPewfzzgZkAH0lu\nHJIWQrPln0JaETWOA98Z6FnttoxfrDPCm90HzUzCL0T6m19Qk+emsuZPXcuXi+jbiuVvEGBT\nrH3imT1zSl7ZT9dC3JpwfgqLuqJozbAcJ1dCWhP9DSpn6nSgTkdit5BwhNISglvSeJjpk11s\nGk+v4+/bqQTdnPk/e2cd38T9xvF3pO5GBUopLS7F3QYMlyEDhrtsDGaM39zHxpQxYWMDNtx9\nMNzd3aVQA1oo1Nskvz8Smia9u1ySltGu7xd/NHff3B1pc899v8/zfD5Da/FVu6IdDhU6O3Um\n/gNERUWdOnXql86/jK3/NHuawa39rBgotykwP+HPMGQbwbD5G5a9ITxm/G+0H2VY0hEKhPo1\nHou98xLcv861LaQn4R5ERDs8rLKzsZLEy/xUVViO2Kc8Ey6blKh8FUCqpXlAqRo4unPbelub\nhi+bFLFrNaTewdHN2Ju4+3NDs4EZSjW9FxmcjI7PYt044cmAUk3tYbT9Ehcfvg2V2/svxnuZ\nJstp0yvZlWZ6YRVL+5JjZSUqoHZm0CaBWPhVKQuFYgoFk5NwcOP6Vu6cRakipB6hTU1mbJps\nvi1t4Tiu/qhVAGFVaDOE1kMMR5g5gjVC8/u2DdiszzsKBkKRr8qGy/RbnPUwx2QB81W++4bX\nFTbYZpqhdjL56M10GTyCzQrAopNpOJP4fDpUjcqwcxiOkpq9Mw7PGLd+XM2aNU+elHTm/Dco\nqRotLty7yLz2lqOgRIHo7YOGH/aJ56O2zrH6wuSh1XBzN8f+4NZeyrWi2WRqDSncKAj4VaCl\nkDqoypFuM02iYE6G5SgI3DltSxQEDk43lH2m3mXtGKb68U0IU7z4uTrHZ3FrP56hVOlpXqhb\nqjoTrhj9/GoPZ+QBHD0Ejq/NIfUuLj5oNdYZMOVHqSbmsElHZpYM8ZqwZqK7FvWwJQoCORms\nHCwQ+Ct1FxqdB52OtERUDkR2oMnrNHqFss3M1y1z0inf1sJx0u7xMIGHCZzewffDeK8HOdnc\njWbdHOHxWw6xR2+aGJJPqEaEGw/ovQSzKAh8x6szyH0ut6MX1eyjN/s0H8WxsGteR+l3tgpE\nQeDAbWYetf0q/nVKlkaLCzs/FlXTcvHF2RufcBq/zsJuokfITmPXZ/R5mwTxx/vbdvsVCXFj\nB6tHmATxSt3oNtPqMv38JJzm1DzuXcDBhdINiBpskm7MyaDa86idOfQTyTcNG8s0pP135jk8\nlZOUB0KBsGoIJ2aTdNncRXz1CONLhYrSDQiph1spwlsLTIbunhUNSxdWcf86PuGoXeyyN9Dm\nMKsZzl40fZOmk1Gq8CxjuZE/uA43RUR/7FmTenCD69vNpbpbvs/ZJVIqEQqlhT+thNMs6Gwo\ntpLPydWs+oaAsmjFq412naGZgP6gKD8eIk2kYnQqb45DXwldmKt62ens+IB+qwCNllXiN4Dl\n53mpgejep5ySQFhcuPqP6C5Hd+qOJiWeA9MsONFte5fazVCqRMu1HdTWWW/LIOYQ8zqaJ5ku\nrmHuTUYeNBrO2cCOD9n5iTHjeGYxuz7j+cWUb0vqHTZN4txSw8zGPZDGr1KtD15hwtNQhYKy\nTU3UvwoDM13p/Og0xBzC0Y1O04U7C2Mln8rjj+MTTmgTrm2x+RoNZCSz9R0exdFpOlV6EnNY\narBPBAfzWaYXFPfOmwdCr1CGbOOvNqJS5mWb4iQ0b9aTnc7CrlZHQT0bZtBrstSAZAUEW5Ew\nOCC+iH2DcvEEBWFNiZFtPP5zSUonRfxZMLpwhOOfDCVLo8UCrUaq1js5mi3/48D3UsEyl10z\nKF1DdG9kTTAs7MQFExdMLMRC3ON/ecm/RZD8Pct64k/Kqk8R48Sf7PjIvCooPYlFzxF7lN8b\ncfIv4/peSgL7v2PPl1JSXs3fEY491nkZFgTXt3NumfAu6Tmrfhms+Vt2raXl5fBPxJ+g4QQp\nHyuFErWjvZYXEpgt9ms17P6cv9qKRkGVI22/lDrg2SU8uCk1QII7N8n2kRpQJlB8n1CXvdh0\n0LCXgmuakSArVb+G4O4oVfjqUZS7MEoCYbFAqbJcYi+T26do+aLo3ufFdwEY4qJ8Mh+Kal6D\nFV3++dkzRXh7ViqrhgobPlxYZdDlEKR8G7r+aj5DdfaiTGORNwBQtbdA74f9iKmp+Qm1upvt\nDW9NoPijjhnSijY6HRdW4eDKkG3UHIBC6JlAp+XuebmnswGzGLxuDFvfEdVJ8CxD/7Xm695m\nxByU2muRiCa4ibTrqNV0zpsrDbGcLAwXd3Z0IjOkYOq1LeHkoW9TdXGgtviTYhNbNIafFkoC\nYXEhol3BHEerofEQmo8W2DXoDZ7pUTBneUxKglT7doqtEtJpidy7KLpX4r4srd1VZyQvX6LN\nZ9ToT82BdPiOCVcsNGk0msikO7wRZ7mXwyoeihS8VOkl2sgYUMXo5y7/g5VurgfijnPoR07M\npurzvHKdQZto/42FZsoCJLAmoXk0sqP3CIgK6fEszcCNTLxq+YtiTwLVMxCfUHp8Jbz3pcmU\nrw8hVqiv9RGXou3GGmdkeA3bT54+0LdFlOVdHHhN8vHiKackR1hcaPkBl9YVgPtcqUgUCgb+\nSo1O7J5J3ElQEFGHTuPonM8+3G6k57E2z3KlbYYl+uLvW7Iu8iprcEvIpXR9TorofKqdCKyJ\nQoF7EKFNbG9syY+LyPqbVyjtv+Xvl8yXIh3d6D7buK4l04ZZDhfXGFUtXf3p+iv3r8vyghfD\nu5y5NI9CSePXOPmneTODRzC9F5KagE6HRzAKpeiKMfAwBt9ICyIqD2O4d8Gu2UGTYSgUNB+F\ngxOrJnP/cf7Ow5tX3mHs61ib0etTjfmnWZvvqS6I+K+YZPuFysfJI68LWq+qfNWOt7aQk+cJ\nyduZBb2IKKA1qX+FkkBYXPCvxMCNrBhovc2rKTGnSXuAqzdR3YnqLrPI2wz5EzlXP4Ki8pZn\nmxDe2pazA+6B5v1RMrFBqMw1QHRXnZHGRsCGL4v6TNlAWEvRXfXH4VWWHR8SdxSdDpUDEe1p\n+wWl8swtvMJkydBYS9o9lvbB044lMq8wxl/gykZOzObueZQqQurT4CVKN6DJ6+z/lisbeRSH\nZ2ki2qPT8mdrg4KBqz91Rlr420++iW+E4WedljOLOLOIpCs4uhNQjcTL3JJUYLdIaGPqvEsc\nBEOjwXTrx5WjaG7jE0C1BpSX+NMS77JXKFjWh092Mv0QyRkAKjRdWDeNiWHYmsmUj28kPf4y\nEyd8owndKjH3JGfu4KSmQWkGR+H/RJKVhUdJICxGhDZh/EWubmL7+8Qds/EgSdGs/YC+lo2Z\nbHPfzU/rT1nYTaCYwtWPCp1sPKbamYpdpeYHYji4cmkd4a3lRkSdli3iVYIZD9FkG/QwQ+pT\ntqkFswv5mKmBm1GxMxU7k/GA9CQ8QgQWKqs9z85PCuZKzLCnT1Hvl652onJ3Knfn9gH2TuXS\nOk4vwKc8VXvR/B2enQqgyWJeB5Mi3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P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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "image(t,t, Theta, xlab=\"\", ylab=\"\", col=color(10), xaxt=\"n\", yaxt=\"n\")\n", "par(new=TRUE)\n", "for (i in c(-1, 1))\n", "{\n", " I = (y==i)\n", " plot(X[I,1], X[I,2], col=(i + 3), xlim=c(min(X[,1]), max(X[,1])), \n", " ylim=c(min(X[,2]), max(X[,2])), xlab=\"\", ylab=\"\", pch=16, xaxt=\"n\", yaxt=\"n\")\n", " par(new=TRUE)\n", "}\n", "\n", "cols = c(2,4)\n", "legend(\"topright\", legend=c(-1, 1), col=cols, pch=16)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 5__\n", "\n", "Display evolution of the classification probability with $\\sigma$" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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NCMtvflI59t/PmVvH5rF5ICWhQKL5XBbaGV+fs/fHzx8eXxZ7M3Wrzaf5rMn9Pt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OnIjRQ2TdcmztQkXRr8CS6eAMlbrJ6lNCUF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\n8qzfvYw/HN4uvPWfP8x4KvGN5NXlvH/LpAWyW6e5to/717m9hhtLyD+ld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ysYn22defEbQtqS/UD5FBHQkMr/Oj4vvxflaT33pyIln/1d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\ntBMk9w4yGUpz3YQvpNl1HxtNbDT7/2LHSeo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eRJ99W5CfRq6QPiss3ph0+FP26uhzcT4H5qFUql9aJVG04zmNPgcY6bPq5d4zoc83QbWQ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\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p7dxbb/EX+ohA/AtnL9NEu6E9weBxdj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TQ3b+0vpsCBvavmj+Rr/N6fBO2uF5kNrcfT4+uSzMfo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v6RZGYRzcLO3p6o9fC0Bg677CnlqR1Ios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\nxXFoVOcM8fB9cCu+W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"text/plain": [ "Plot with title \"sigma = 4\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/ml_3_classification/exo5.R\")" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 6__\n", "\n", "Separate the dataset into a training set and a testing set. Evaluate the classification performance\n", "for varying $\\si$. Try to introduce regularization and minmize\n", "$$ \\umin{h} F(h) \\eqdef \\Ll(K h,y) + \\la R(h) $$\n", "where for instance $R=\\norm{\\cdot}_2^2$ or $R=\\norm{\\cdot}_1$." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "source(\"nt_solutions/ml_3_classification/exo6.R\")" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Multi-Classes Logistic Classification\n", "-------------------------------------\n", "The logistic classification method is extended to an arbitrary number\n", "$k$ of classes by considering a familly of weight vectors $ w_\\ell\n", "$_{\\ell=1}^k, which are conveniently stored as columns of matrix $W \\in \\RR^{p \\times k}$.\n", "\n", "\n", "This allows to model probabilitically the belonging of a point $x \\in \\RR^p $ to a\n", "the classes using an exponential model\n", " $$ h(x) = \\pa{ \\frac{ e^{-\\dotp{x}{w_\\ell}} }{ \\sum_m e^{-\\dotp{x}{w_m}} } }_\\ell $$\n", "This vector $h(x) \\in [0,1]^k $ describes the probability of $x$\n", "belonging to the different classes, and $ \\sum_\\ell h(x)_\\ell = 1 $.\n", "\n", "\n", "The computation of $w$ is obtained by solving a maximum likelihood\n", "estimator\n", " $$ \\umax{w \\in \\RR^k} \\frac{1}{n} \\sum_{i=1}^n \\log( h(x_i)_{y_i} ) $$\n", "where we recall that $y_i \\in \\{1,\\ldots,k\\}$ is the class index of\n", "point $x_i$.\n", "\n", "\n", "This is conveniently rewritten as\n", " $$ \\umin{w} \\sum_i \\text{LSE}( XW )_i - \\dotp{XW}{D} $$\n", "where $D \\in \\{0,1\\}^{n \\times k}$ is the binary class index matrices\n", " $$ D_{i,\\ell} = \\choice{\n", " 1 \\qifq y_i=\\ell, \\\\\n", " 0 \\quad \\text{otherwise}.\n", " }\n", " $$\n", "and LSE is the log-sum-exp operator\n", " $$ \\text{LSE}(S) = \\log\\pa{ \\sum_\\ell \\exp(S_{i,\\ell}) } \\in \\RR^n. $$" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "LSE0 = function(S){log(apply(exp(S), 1, sum))}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The computation of LSE is\n", "unstable for large value of $S_{i,\\ell}$ (numerical overflow, producing NaN), but this can be\n", "fixed by substracting the largest element in each row,\n", "since $ \\text{LSE}(S+a)=\\text{LSE}(S)+a $ if $a$ is constant along rows. This is\n", "the [celebrated LSE trick](https://en.wikipedia.org/wiki/LogSumExp)." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "max2 = function(S){apply(S, 1, max)}\n", "LSE = function(S){LSE0(S - max2(S)) + max2(S)}" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "3.14018491736755e-16" ], "text/latex": [ "3.14018491736755e-16" ], "text/markdown": [ "3.14018491736755e-16" ], "text/plain": [ "[1] 3.140185e-16" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# check equality of LSE and LSE0\n", "S = randn(4,5)\n", "norm( LSE(S)-LSE0(S))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The gradient of the LSE operator is the\n", "\n", "$$ \\nabla \\text{LSE}(S) = \\text{SM}(S) \\eqdef\n", " \\pa{\n", " \\frac{\n", " e^{S_{i,\\ell}}\n", " }{\n", " \\sum_m e^{S_{i,m}}\n", " } } $$" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "SM0 = function(S){exp(S) / apply(exp(S), 1, sum)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Similarely to the LSE, it needs to be stabilized." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "SM = function(S){SM0(S-max2(S))}" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "1.73950904861202e-16" ], "text/latex": [ "1.73950904861202e-16" ], "text/markdown": [ "1.73950904861202e-16" ], "text/plain": [ "[1] 1.739509e-16" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Check equality of SM and SM0\n", "norm( SM(S)-SM0(S) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We load a dataset of $n$ images of size $p = 8 \\times 8$, representing digits from 0\n", "to 9 (so there are $k=10$ classes).\n", "\n", "\n", "Load the dataset and randomly permute it.\n", "Separate the features $X$ from the data $y$ to predict information." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "file_name = 'nt_toolbox/data/digits.csv'\n", "A = read.table(file_name, sep=\",\", head=FALSE)\n", "#A = A[sample(dim(A)[1]),]\n", "X = as.matrix(A[,1:(dim(A)[2] - 1)])\n", "y = A[,dim(A)[2]]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "$n$ is the number of samples, $p$ is the dimensionality of the features, $k$\n", "the number of classes." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = dim(X)[1]\n", "p = dim(X)[2]\n", "CL = sort(unique(y)) # list of classes.\n", "k = length(CL)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display a few samples digits" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=6, repr.plot.height=6)\n", "par(mar = rep(2, 4))\n", "par(mfrow=c(k, 5))\n", "\n", "q = 5\n", "for (i in 1:k)\n", "{\n", " I = which(y==CL[i])\n", " for (j in 1:q)\n", " {\n", " \n", " f = as.numeric(X[I[j],])\n", " f = f / max(f)\n", " dim(f) = c(sqrt(p), sqrt(p))\n", " image(-f[,ncol(f):1], col=gray(c(0,1)), xaxt=\"n\", yaxt=\"n\", bty=\"n\")\n", " }\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform dimensionality reduction using PCA. " ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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qDT6STKRJXw8MCiRfdtuXYNP/+M2bMRH1/Xgyck4Icf8PzzdT0OkeCUdAbds2dP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\nIhIUC5qISFAsaCIiQbGgiYgE9f9+i/ePECo+JAAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "svd_decomp = svd(Xm(X))\n", "U = svd_decomp$u\n", "s = svd_decomp$d\n", "V = svd_decomp$v\n", "X0r = Xm(X) %*% V\n", "\n", "options(repr.plot.width=4, repr.plot.height=4)\n", "plot(s, type=\"o\", col=4, ylab=\"\", xlab=\"\", pch=16)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display in 2D." ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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HUDraqbN/HOO9i7V79u9O+P7dvh6anl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\nVxwRDDcTExOBQODu7v7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5+PJ/F4vFde\neeXTTz9VnYtpGt5UeFqY0yYnZTDXaISSYlFqvtqOYhbCwv7AUo2HGB4vuVkzbyAvL48t2vj9\n99+3bauUCbKwsHDz5s0lJSXBwcHcL52Wlnbq1KnHjx/z+fxu3br16NHj2rVr6enptra2PXv2\nnDFjRrVL4xLSEFHAQV5cJiaYNw9z52o45OMDbZ8WtSEgAP/+q98lPB5Xz1euxH//oWoC0ClT\n0K9fpZbSUqhsIbEPDzdPSSkxwhRSly5drl+/fu/evVOnTjEM4+/vr5Z720Zs47nYE4WQWeo6\n2OPu7v7s2TONhx4+fHjt2rW8vDxbW9vAwMAASYBlXNu0V191Pneu6skpgwdnWFl5s+dUzcnJ\n2blzp8ZDu3fvHjRoEFtCFB6Pd+TIkbVr1yoHfk6dOmVpafnNN9/MnDmTLX1qXZFIcOMG0tLg\n4YH27bly55L6owEt3VCivyxiMPeAX4E7AIAAYDzQrI57BMyZg5QUrFlTacqgaVMcPsyVsEvN\n2bP4+Wfcvg0eDx06YPJkdNNhHxu3qCgsXsy1MxaVKsdWWLAAnTqxXuLujmvX8OWX2L+/fBeM\nmxsmTsSiRepnCoUwMVEu++CXlrZasiRy+XKZEXIKmZmZvfbaa927d4+MjFT7aOfxeAUFBRf3\nXLRItbCOZi+iq8I5zDm5V3LVWqkSiWTZsmWqVTR//vnnsaZj11mvu//55zy53OnCBdXzUwcO\nfPjJJxYyGdjfu8PDw9kSlcpksuvXrysWZ5ibm6su7DAxMUlJSVm1apXabQsLC7/88ss33niD\nY2mLXp49e5aUlKQYm7G0tHR3d3fTM2RkGKxdi2+/RWZmeYuHB5Yvx3vvGaSDhFRCAQcxjHXA\np4DyEfU4sApYW+cbvng8rF6NceMQGorYWFhbo2dPDB+uJf2GqjlzKu0mvXMHu3bh22/x1VfV\n6I5cLufz+ThzBkOGQGsaza+/RlYW9u9Hejr4fHTqhLlzMWyYlqucnbFqFcrKsHs3ZDKkpOCb\nb/D339i6tVKkogierlxRNljfu9fmyy8j1q417HMTj8dT5OQwMzPr1KlTampqampqQXo6w+PJ\nTUwYhilDGayRb52f3yyfBx4DDa/PL+Gbp5iL48Vux9yeDH+isTL7ihUr1Gp2MwyzS7LLTGj2\nnvl7UYsWiWNiHK5dM8nOljo4ZAYGFvj64nnRXbY88ZnKz2FNMjIyADRq1Khx48bZ2dl5eXkM\nw4j+z955BzRxv3/8fUkgJGGGHUEBB0sRRcW6R90DW4v2W3eV/tx7VOusqyrWra277lnFhaN1\nVXHgQkBEZcmeAcIKJLnfHwch4+4AxVZbXv8I97nxCSa55z7P87zfQqGVlVX37t1pgxi5XL50\n6dIjR45wq61VykRUVFRaWpr61/z8fErV1MPDo/rFJcuWQUdaPTkZw4ejpARjx77nBOuoQ5e6\ngKOOWuAPYBp0bxRlwETAA6jK/ezD4+UFL693OfDYMRrtCpLEwoXw8UHv3tU8TUlJSVxcXHZ2\ndllZGZfLFT9+7FSvnjGLzayZGZYswYwZALBlC3JzYWRUqULGjkKBfv1w547WxqdP0bUr7t6F\nl1daWtrKlSvPnz//9u1bK6A7sABoBgAorl+/1ldpSZIMDQ2VSCQNGjTglJWJt2+32LtXkJoK\ngih0dk7y80vp319tOkMbbQiSBd5zvI3SjACAwPMVNK3OsbGxN27coJ3AntQ9g0sHGxoaypo0\nkTXRXXSTyWT5+flmZmYikUg/scKuIW1jY9OsWTMqqyIWi9WNviqVKiQkhOmokJCQ0NBQb29v\no2r+h9JBxW362zMyMszNzVl8ajRJSMCqVfRDs2ZhyJAqqq7rqKOmfFypxDo+UdbpRRsUJEAv\nNfXRQpI4eBCff4569eDkhMmTGffcvLmap5TJZKGhoWlpaVQ6X6lUZrZq9XjbtmzavMy0aQgO\nRlJSebRBYW4OIyM8f44lSzBqFKZOxalTujrrag4f1o02KAoKMGvWy5cvvb29t27dmpCQQJJk\nJnAMaA1Q3i1lJibFxcXXr1/ft2/fgQMHHj58qL+WwPL0zFSaUFpaGh8fHxEais8/N1q5UpCa\nCgAkKYqNdd2wwWP1apYeGct7lq2/a10ebQBKQ6WKT7O8waJbqoIqIS6BaW4kSb5584YgCA8P\nD3373ObNm7O83mHDhtHWcJSUlND27FAUFRUVFxdHaqrf1pzUVMbqWpYhHS5cYHwT5eWBIX6r\n4x/j888/J+j4p+dVA+pWOOqoBR4wD91nHvroUCgwdCh+r57DBq2Olh4kSUZFRen3haoMDKLm\nzm07fDhP56na0ZFm4USlwvTp2Lq18sa8ZQs8PXHuHI3k6NmzjLO5cWPksGH65ZZyYBSP96ZF\ni+tGRlO//lqz+6N+/fqLFy/WbKZgKnewsbFxcXFJTEzMyMigvd2a7NhBGwnZ/vFHdtu26d3o\nxY9KJCXcYir7oAKuc+UhjXa8Kmxgn9WuXZmGVxlTj0n5aFGBmZkZUytNXl5edHSZq6tx69at\n4+Pjs7Oz5XI5l8s1NjZu1qzZsGHDDh06pH+Uv79/s2bNaE8oFAotLS2Z0jHW1taoyICYmlar\nbIXmFTG/XqYCWH3YdWpqQ+i1jtrkX6CCXxdw1FELsEhYs6lbf2ysX1/daANVqWxVkJ+fz3QD\nKDMzy2rXzk7Hq5a2Q2DVKugbUkdGom9fhIXp1qMw30aeKZWhDHFSjkKxtnv39evX68QKb9++\nnTNnzp49ezSdSM3NzQsKCtRRFEEQNjY2dnZ2paWlDRs2lEqltAGH/eXLTBOzu3yZKeAoqlcE\nAiDjAH/gMQDHkwCg4vPfTJyYPGAAtRu7bqmdnZ2SQWyUonfv0qZNDXbv5rvqtRzv3LmzpKTk\nlLZDzcCBA/fu3au55d49XLmC1FQ4OKBPH3zxxRe7d++mvVanTuU5RplMxhJwZGRk/PHHH0lJ\nSfb29l27dtVp7amV51r2aIeSw62jtjkBbAHCAAXgCQQAAUDV/5vFxcVJSUmUY4D+UtynQl3A\nUUct4AS8Zhhy/jvn8Z7s2FGDnfWqAWhh9xMp0nd41681KSlh9KSNjsbx47pdssw3CvZF/MOH\nD9MGClKp9NSpU+PGjVNvMTEx8fLykkqlVGtGVlZWeno6tXBCEATtEghHLjdiaGQFIGT2eOMo\nOSCLgZ6AVskLRy5vsmFDmYlJRpcuAFq3bs3lcmmjCr4h//PPP6eteFAze/bLM2ccBgywvHSp\niM8nRCKROgUjEAhOnjz54MGDS5cupaWl2dra9u7du127dupjCwowbBg0LXUXL8bAgcskkuCU\nlGSdC7m4uHxZUfZLW/oKgCTJJUuWrF27Vl6h4cbj8SZOnBgYGKi+04hEotzcXNrDmQpg9enY\nkXGIINC+fTVPU0f1+R5Yo/HrI+ARcBU4UWV5w+vXr0mSdHJy+nSjDdQFHHXUCkOYlJUAXU/0\nj5bcXBr5ChZGjHj/axI6txxPT3TSK7F9+hQsCle3b+sGHB07Mml7EHZ2YL7vJjEvjTzRXhcR\niURcLtfKykoulz9+/FiuoW3KqA3A5dJ3+VJHMbdsGL8xBvbqRBtqXHbvpgIOOzs7f3//Y8eO\n6e+zaPEiGxubkpISlpYTD498D48XJInwcADgcDgSicTFxUXdS+Lr68ukxT56tFa0QXHunGTw\n4DtS6djr169TWzgcTrdu3SZPnqzWgBcyNGYvXrx4xYoVmlsUCsXmzZvlcvkvv/xCbZFIJEwB\nR/U7Yzt0QPfu9G+WkSPh/Ck9K3wSXAfWAEbAz8AgwAQIBsYDp4FdAIOjUwVUPqVJ9Z5zPlrq\nikbrqAXmAU3ptnsDM2v1Qm+A/cBGIAhgzFQXFzPWwrHAuuSuS8+ejJZv2rC3OWjpe9rZ4fhx\nGi97Vgs0Gh3VSZPAoEbVdOpUljOx6AhpOrsaGBhQVQgA4uLi5ExK6tqoeLwiZrO6woYNmYbq\nnatXbHOBaVSQkmJUEUIFBARMGD9ByK+8i/P5/JYtW75+/Xrz5s2GhoZV+rKq0xQqlSopKSks\nLIxpEUJNWBhOn6Yf+v13px07rpw5c+ann35at27d6dOnFyxYoM6h8FV8CwsazfX09PS1DAta\nO3fufPnyJfWzra2tnZ2d/j42NjY10ko/fpxmncPPr2aLfXVUD8rJeSEwAbAHjAF/4GcAQNU2\n1FTAYW9vP3HiRDs7OyMjo6ZNmwYGBurXh33M1AUcddQCJsBtYCyg/kY3Ar4DbgLVXd6tijxg\nKNAEGAPMAAYBjjof0+JiLFkCJycIhTAygo9PzdzkxWLY2DCOqu9V9ephxQpcuFBNOUYTExOm\nPD2/pMRSJoOVFby88P33eP4cnp40+7G3OAYHY8sWrZUDKysEB+ta0fJ4WLPGa/78zxgky6yt\nrVkcTdUVElwu19PTU61KnsliTqtHsp8f01BMr160jmiSEMnVtlfD8tj6JQzy8wHw+XxnZ+dF\nixeFPAjZvXv3sGHDDA0N5XL5kydPfvvtt2nTprm5uSUnJzMtKtCSl5eXkpLCvg+dfmk5JIk7\nd3jt27f3bePr4+NjppHq4ig4bvPdOHtpvn6vX7/OJDVGkuTVq1fVv7q7u3t4eJiZmXG5XA6H\nY2pq6ubmpmnnWx0sLXHzJi5exPTpGDoUs2fj5k2cPQuBoPrneF9IElevYsoUDBmCgACcPPku\n/kKfAvcAADr+CZRtZESVB1MBx969e3fs2JGeni6XyyMjI+fMmdOvXz+WlqiPjbqUSh21gwWw\nG9gMRAEE4AbU4Ku9KkjgC0DntiMFRgNGVNZGJkO3bnj0qHxMpcKTJxg1CiEhqFiFrgKCwOjR\njNUSx4+jTRtwOLC1renkPTw8nj59qrMSwOPxPNu146onzIKnJxo3xmuGIpniYkydiuxsLS3R\nVq3w8iVOnsS9eyguhqsrvv6aWiI/cOBAly5dkpO1aguEQuGhQ4c2b9588eJF2ov4+vqqizNS\nUlIMDAyMjY0VCkWNnq6S/fxMo6JstYtkSWC9SDRn0SIA9evXHzRokJ+fn0gkMjY2lkgkIfkh\nk0ZM2i2Xt2U+bamlJQDKT45akMjPzz9y5IjOgk1eXt6IESNCQ0NtbFxiYiK53GoJjmRkZOhU\na+rAkNYoRyqFdZl1i1kt4kbE5XrlkhySUBIWTy1c9riYRJsgGvAHzEApowQFBSUmJrKHRBkZ\nGZq/2tra2tb8DakDh4O+fWn8kv8eiorg749Llyq37N6Nli1x/jz+da52VHSu83aipE6q0gAE\nXr9+DaBly5aBgYG+vr55eXknT56cP3/+1atX161bt2DBgtqe7QehLuCoozYRAj4f4LTn9KIN\nChKYDXwFcJYtA+3N+9df0b8/+vev1mUWLcKtW3ig1+QbEADmp/MqEQgErVu3TkxMzM7OLikp\nMTQ0FIvFjo6O1dV9Ighs3Yp+/XSe+0gOJ9vXN69ZM6VAIIiOtn792kjTD1YgwMiRuuUdxcWN\nHj58NnDgmgcPgpKSkvLzLa2sPv/88++//97V1dXW1vbGjRv6Va4SieTLL7+k7t9KpTIjIyMr\nK6tp06ZisZipRBSAUZqRebi5rKGMIAl+Fj/bN5skiBfz52e1a2cfHCyKjVVxOHdKSlbn59+o\n6OJ5+/bt5s2bX758GRwczOFwcnNzd+7dKZPJLjJXAhU0bCi3tESF6CfF4cOHmVQ+1w1ad6D9\ngdhhBKoXcFTpRM9eLyGRABdh9tTM+6m3iq8qFZca5hhy5BULG/nAn4j2jO7SpYu6ppW9ypjJ\nuuXTZfx4rWiD4skTDB6Mu3fxkXnOvCdCIB/IBDRtqOMAAFVHjXe1bRAEAsGUKVMEAkFAQMCB\nAwfqAo466qg1gpmHEoEIlcqLwWELAPbvr27AYWyMmzexdi3270dcHDgceHtj2rT3t3kzMDBw\ncXF5d2vQnj1x8SLGjEHFCn+xRBL+44+FGieMSUx0NjRsoN/2oiYkBEOGIDnZClgHrANgYoJ1\n6/D119S4u7v7yZMnJ02aFB8frz7I29t73rx5Oo/dKpUqKiqqbdu2JiYm+QwlJhaPLdzWu1E/\nJw1OyvYtL9jM6Nw5o3NnAPv27Tt48KD+gVevXj1y5Mjw4cPz8vJCQ0MBHAEmAW309iS53DcT\nJ+qfISKCcYH6TuwdxMKsvUjWpFpOs1W6rPXpAwMD+pIhgQCffw5UtDNz5ByjVL0QMxGj141m\n76BRQxBEjx49qrPnp8Lbt6CTOAGA+/fx55/4d71cL+AOcFK7sO04AOAdvZkGDRoUEBAQFxf3\n/pP7e6gLOOr4BMhgH83PZzN5r6izqxZGRli8GIsXo7i43N7sI6FnTyxejPHjAaj4/LA1a4q1\naztIgoiNjS0uLnZ1daXJ4r99iz59dOtPZTIMHw6JpLRt21evXmVlZQkEgl27doWHh2dlZdWr\nV8/Ly4spPVxWVpaVldWgQYNwqq9DG04Zp/6pyiISFY+m9PLKlStMr/W3334bPnx4QUEBVayq\nAPoCO4EvNPQKkoGsZcukLVpovBpZaWmpiYkJSx1rPvIBSC5KoptEM+2jiVlVYhSOjvj+eyxf\nTjO0dCmsrSuWzBmIyI+4f7+62ngjR470pK3y+WQJCWHRmEVIyL8s4BgF3AEWA2bAAEAIBFGR\n/ztbTlEfT5NPR4K+LuCo4xPAkn2UvUquyurOoiK8fQuhUKvQ8u+smqsmFcWnaT17FjNUkqam\nppaWljZr1kw35ggMpO92USrL1q59snBhcYWTHJfL9fb2BiAUCuvVq/eaqXYEkEqlHA5HxygV\nAI/Hc3/lLlQIVYaq9G7puW1yi5rrpgnkcrlOOYIm0dHRUqk0MzPT3NycSjFkA4OBRkB7QAi8\nBsLMzI63aweAJMkLFy6cPHmSaus1MTHh8/lMMYcjHAHYX7SXtpBmdGGPY0EQhKOjI/s+AJYt\ng0iElSsrm5fNzbFsGcpbgjqwHRtpXC2Bcw6HM3r06O3btytIRVhxmFQptTew9zDyIKohGPUx\nw9LuXeXoJ8i3QBBwARinvX0SQK96p4m1tXVWVlZUVJSbm5t64+HDhwG0bctS4/RxURdw1PEJ\n0AOgV20EbAEvU1NYW4OpY4LFti0pCXPm4MwZUPcnBwfMmoWpUz9s6piyazl4EFFR4PPRujWm\nToWGkBQj7dtTUhZSb2+WvbKzs9++faubW9E2xpBbWaX265fn7k4aGpaamhbT+dYWFRXl5OSw\nXCg9LU3n6VQkEtnZ2dnZ2ZU0L3n+2fOcnBymCg8ul8tS/2FgYBAbG0uSZOvWrYOCgtTb32jI\ncXzeujX1w/r16y9pVAHIWG9TX+ALAISK8FzuKQ4Vp/ilFLgVkCTJ4XB0RMO4XK6bmxt7VzMF\nQWDePEyahDt3kJEBOzt06IDKHNRnwOfAH3RHDgFRjy1i6NatW/v27W1tbXv27Nm4cePtmduX\npS7LUJTHSQ35DX92+Hmg2cAqZ/jRwtwoXfXoJwgH+B3YBOwH3gCGQDMgABhVnYN79+596NCh\noUOHbt682dfXNycn59SpU4sWLQIwZcqUDzvx2qMu4KjjE2Aw0BoIpRtaCXAfPgTTrZEgMGEC\n/VBCAj77DJpOV5RlWlgY9u173xkzUVYGf39o3EQRG4uTJ7FuHWZWJVlSvz5GjcL+/Yqq7oLJ\nyckNGjSQk/LXJa8BNOI3MtLopshu2zZy4UJlNRpEmUTZ09PTDx8+/PDhw8zMTEtLy1atWg0f\nPlwikRQWFgoEgqysrFevXrGoegDg8XgNGjTQLBbRxMvLiyoN+eabb27evKmpAkIhFApHjhwJ\ngBIArfKFUHjAYwYqLPFI2AfbW9+xfn7zeV5enma0QRCEnZ2ds7NzlbodFGHARSDRGHa98TnQ\nNA9pabC21rBaPQYMAnRsZHoBe9Askd6NheJ///ufWuD1x9Qfl6Qu0RyNkccMihl01PnoUIuh\ndEd/AnTqBCsr+nSogQEqZOv/TRgAs4HZ73DkqlWrbt68+fz58y5dumhunzx5cq9evWpndh+e\nf1URcB3/VrjABaC79kZKsW8sgAULGGW7evYEg/IEZs4Era/m/v1gLi94X9au1Yo2KFQqzJ6N\n6uTyt2/HwIGGzIqZFHK5fEbCDHGYuFlUs2ZRzcTPxRNmleYZA0CJvX3EkiXViTYAlJWV6YuI\nvHr1KiAg4MKFCxkZGSRJZmVlXb58+bvvvqNKNRMSEqqMNigGDRrENBQQEED9YG1tHRgYqLNa\nI5FI1q5dS3WrXtNxotFAs96TA44//G/ghol2ScWrea/0oxmSJLOzs7nM4qdqSoExgDfwA/AL\nsBToAFiEoGFLWFigSxfco5QXLIFbwDlgEuAPTAOuAMGAMdzd3Tvpa8tSB1laDh48mPo5rjRu\nRdoK/X1IkFMSp5Soqmil+WgRCLBlC2gzogsX1kmdauHo6Pj8+fNFixZ5enoKBAIzM7OOHTse\nOHBgi77L0kcM46pmHWo4HA5JkgRBVCk7WMeH5gFwC8gHXID+gA2AkhIYGzMGHB064K+/aLbL\nZLC0ZBQkHTUK+/fX0pQ1IEk4OiJZ11+jphfNvH49oipxpy/LStFuAAAgAElEQVRMv8gjtG6l\n3tH4axzSRo5PHFJduXlDQ8OWLVtqiogolcoxY8bQiqDb2NgcOHCAz+dX8yuFJMl169Zd1nZ0\nIwhi+fLl8+bNu3Pnjvo8JEmGhYVRXhIuLi7dye4Olx2y2mXJLeXDA4e/SHnBdImtW7fKZLJ6\nyfV6bu1pq9d5WGpeGnI6hCToZ+vq6lqlZOckYDvtwEWgPwDweDh7Fv36sZ0kPj6+c+fOb7Xd\nZAQCwZkzZ9RPrpsyNk1Pms50hiuNrvQ07ck+1Y+ZoCDMmoWYmPJfbWywZAkmTKAPRD5aTp48\nOWTIkBMnTvj7+/+zMzExMSkoKPg4b1h1KZU6PiV8AV1Di5wcNlVypsrExEQ2+fM39M4d70tW\nFmO0ASAsrJqnse7WTRwWxlJgkcvJzSfyATikO/zf7//X/ll7YYnwjeObc52Oubm7V3++ZmZm\nAoHAx8fn7evXOU+elIrFEffuMVmuZGRkPHr0qF11ilEAAARBzJ07t127dsHBwUlJSUZGRj4+\nPpMmTerQoQMAU1NT9doDQRDe3t7eFZUrVtutbG7Y2NywAWAGti4SW1vb5s2bt/dsT1wh9N0F\nCzoUMEUboK0FycvDrl24ehU5ObC3z+3ff//o0bpWvRT9gLbAfSgUGDcOsbFsJchOTk5Pnz5d\nt27dmTNnkpOTzc3Ne/ToMW/ePE3f2sQyNqv4t6WM1ncx8pjtmdtDCkNKVCWNjRp/Y/HNIHPG\nhaV/Cj8/DByIiAikpsLCAi1aVFPFt45Pj7r/2Do+ccRicLmMMUeF64cu7On5D9Siwm7XUhPV\nzqZNm0ZERDDFHJcNLpMge4f0Pv79cdPC8pyIb4QvMOzRIMYchA4EQYjF4mfPnuXm5pIkybWx\nEd+/X7Cd/pGe4s2bNx07dmQ3ggfAKSsTP3okfPuW5HL7ubp2WLHCpWFDnbxJw4YNnz17RvuI\nlto3VfBQcOTtkYu4+JrRpRiWlpZisbisrEzGlZneMsUk4CxABRgE0A+qdSrQpdQodC/98iV6\n99a09zO/cCFkx46eV69m0CridwHuA0BaGv78swohGLFYvHr16tWrVzPtYMxhq9ox5tKPns49\nPSJ+RLGqvCL4WfGzk9KTQyyGHHY6zCM+rm9+gkCzZmjGVtBSx7+Bj+ttV0cdNcbICJ066XRh\nVNKTYanZyQk2NozrH230VaZqAxsbiMWM9a0a3W5VwuVymzdv/vLly1S9MpTX3NdR3Ci/LL+d\nO3aaFulWYBil2cuaVG2AwuVy7e3tNasxlHx+ZufOIQ8eQDsJoklaWpqxsXFubu7jx4+joqLK\nysocHBzat2+vaZguDg11X7tWswxF1qSJbOdOVAQcKpUqIiKCapo1NDTUD1/ihfFDFEPegvGx\nnmLQoEFUb3BxcbGpvSl+B9KApwAJeAMSCIuELAGHQDPoLCvDl1/qmwk3Dws7MHJk78uXATjF\nx0tSUqQWFi/d3EiCgIYv2/uvl7UXMVrFEyDaiWhWlWLkMcPihslJ3fbgE9ITnkaei+0Xv++c\nNLgpu7kja8ezomcqqJoKmo61HNvfrHpSe3X8x6gLOOp4L24Da4DbQAHgBHwFLABoTDBrlXvA\nQ0ABuAGfA/xVq9C5M/Qtr+rXB5M/KpeLqVOxcCHNkFCI776r5RlTcDgYORIbN9KPjh5Nuzkz\nMzM5ObmgoACASCSSSCRq+ww3NzcLC4vExMSCggKSJAUCAY/Hc5G5LCtaBgNEbo2Mj4t3W+9m\n+qIy7LC9YZvZiT7gEIlEIpGIIAhjY2NLS8vHjx/rV2Ow+MgDMDQ0JEkyICAgVsMFVyQSzZgx\no1u3bgBMo6Ka/fADR3stx+TVK9GwYQgPh4XFmTNnZs2apVZOFFuIh48Y7ufnp5YVIUly+fLl\nb1OqiDa6dOnydYWCamX5px3Qp3IfoVBoYmJC20ZLEISWR8nly4iKor1QrytXxuzbN23TpuYV\nGbEkB4cly5btTflWvU81JexZ6G7a3Vfk+6BQT3QfGCEeUd+Qpn/0l6xf9KMNis2ZmxfYLait\nRY4lqUuWpy4ny9eO8Eb+5mzu2fFW47fX3/6py4R8hKSmpq5atSo4ODgxMdHMzKx9+/ZLly5t\n3rz5Pz2v6lIXcNRRjgq4BtwBSgAX4AuAxv1am1+BiYB66TkeCAR+B24DrA6n704M8A3wUGNL\nPWBf27Y9zpzB2LHQlIj28cHRozA3ZzzX99/j5UtdaWVjYxw5AhaBcB1yc7FxI86fR2IibGzQ\nvTtmzwaLWtSyZbh9G0+e6G4fP562tvDVq1eaRmu5ubm5ubnZ2dnu7u7UPZiy7yJJUqVSPX/+\nPDc3l4vKmKDQufDZ+mctprcwiS7vzrC+bW11xyqrg24noqGhoZeXl9reJSUlhTYzwl5H2apV\nq0GDBukUeRQWFq5cudLU1LRVq1Yue/dy6DJHnORkbN580MVl1KhRmlFOjjRn8+bN+fn5IyvU\n5V++fBkZySiWZWNj07hx4549e3bo0EEdo+joMCqVymfPnqWkpFhZWTVp0uTFixf6FnQuLi5a\nKxysHnu7AgK4Gn8rh6SkPWPH2lumrsQP1BYfZnshBan4U/ZneHE4AaK5sHlX465cgiak44Dz\nu8vvA2IGPCnSeuf0Neu7oz69kfzjosdMF81WZCeWJTob1kITyKW8Sz+m/qi//ZesX9qI2oyx\nHPP+l6hDTXx8fMeOHdWfr8zMzLNnz/7555/Pnj17d9uEv5e6gKMOAIgBvgKeaWyZCawDJrMe\nMlUj2lATi/J0ea2TC3SD7kp6MjAA+Ktv39axsbhyBZGRMDJCmzbo0KGKMncuFwcP4ptvcOQI\nXr2CQIB27TB+fA30huLj0bUr1GISmZmIjMSBA7h4kVHIy9QUf/2FVatw4AASE0EQaN4cM2bQ\n2rVkZGQk0xWZpqenm5mZ1dMQGyUIIisrK5fOulTJV76Z+KbFtAoJcBKeKz1jrsekKlKpkIIg\nCCsrq0aNGmmayTFZiDVq1Ij+dQEAEhISaEtKSZLcs2dPm+bNzZ890x+lKPj998nx8bQdLocO\nHerZs6ednR0qTLqZGDRokHphg0KYbaMpp3HgwIGFCxcmJpbXYFpaWs6dO7d3795SqZQq2jA2\nNnZycrLWKf1h1koHwKWLzJZkLzuK/8XCpUMHODqmP3uWSv1JTUxMHBwcLCwsANwvvD8sflis\nvHI1yNXI9YjTkZbClvonlBhIHrg++D339yv5VyilUT8zvx6mPZhWEeQqtjnXVifttqxtjEOZ\n2+oCDn0yMjKSkpKoJUlqwbLKZig1o0ePTkpK6tChw9atW5s0aRIeHv7dd9+FhYUtWrSIkhz9\n+KkLOOpAEdATiNXeWAJMASyB/zEcdRDQy2GUcx7IoHpW9cgDDgN/VbS2+gP0KgR0bNGLNijk\nwALgmkCAQYPArO5AT58+6NOn6t1oGT4c+tJVubkYOhTR0dDXusjJQXIyrKywYgVWrEBBAQwM\nWMpXUyqs2miH6mmrm2cxu8nkNs0tMy0zyDdQCpWx38am9U5TyBUAuFyutbW1i4uLvsIVjRsL\nAKBFixYODg60UYWzszPL2sOrV6/kaWkEcz1pWXIykw+cQqEICQn58ssvqZ+ZzgCgVDutZh5u\nvmeZq4kHSDJy6dKlFy5c0FFhz87OnjdvXkFBwdKlS+VyOY/HM6B1z2nYkOWitBigbBDOBrvP\n2LAhKioqXb1dLpdnZWU5OTkpJIpeb3rlK7VecnRJdI83PZ66PaXNkvAI3hCLIUMsqtXV3Ijf\nKKQwhHaIT/Bpz/8OPC16yjQUVhymgorzd0k9PXyIHTvw+DGUSnh4YOxY9O7991y5BsTExGj2\nP8tksujo6JycHE9PT6ZPnJq7d+/eunXL0dHx0qVL1KJdmzZtjhw54unp+eeff37YedcedcJf\ndWCvXrShhq7GoRwWEwgVoGOYlg98D0gAc2AScAy4BGwFOgOjgSq6GipgLFYEbgJsD3QfgrAw\naBtGV5KUhHPntLY8eoQuXWBtDS8vSCTw8MDJkzA2Zm+Woeo2aCksLNRZDGBxLAOBUqtSpZHy\n6c9Pk75MUgjL79lKpTItLS0yMlKnI4PF6ITH4y1evNiSq2tuY25u/sMPP2QyqctTaloqFUsJ\nSJ6hIeP8AfV82B8HfaJ8rO5ZmUaZ2ty08Vjp4T3DOzKH9913N1q3bn3q1Ckmr/nVq1fHx8cL\nBAL6aAOAnx+qoXGuw8hO8RcuJMtk6fpD8fHxe2P36kQbFDmKnFVpq2p6LX2Gi4czDfmZ+4k4\nIqbRGqEkGT+7KlKlIv8mHYjAQHz2GfbvR3g4XrzAqVPo0wcTJ7I5w/39SKXSt2/fcjicJk2a\ntG/fvlOnTp6engYGBpmZmfql3/pcuHABwJQpUzRThB4eHiRJVtNt+GOgLuD4T0MCd4GdzDvE\nAvEMQ+xCjJqjGUAbYA3oewJ+A5axz7ICluYKBcBm+8EESeLWLSxbhrlzsWULEtnUDnRhl814\n/rzy55s30aEDbt2C+r4eFYUhQ/DzzzWfMSM8Vu0CbgE3cWgirSd7Xl6e5ooFSZLh4eHUvVmh\nUOjfpFsVtDq28Ji/v3+DBg1MTEycnJyGDBmyZ88eFxcXKlNAC0EQTq6uJb66Kipq4ho3Zpm/\nsGK5qGXLlmKxmHYfU6HpiAcjmv3QzGeSj+ePnrZ/2qapiBAUh4SMpDWLUaNQKC5cuPC29O1f\nBX9FFEfQ3ERtbLBpE02GjvVv3rydKDOTUXZFnEP/KgBcya8Fodsepj0CrAL0tzsaOv7sUGtv\nvCZGTZiGGvIb/j3Nt7duYe5c6DdQ79iBPXv+hutXFyo96uTkVK9ePUNDQy6Xa2NjQ+UoqxMx\n/PXXXwC6d+++ZcsWV1dXPp/v7Ow8d+5cdvOgj426gOO/y0vAB+gA0PiLa8Ako92U+RAuoNni\nOQNg9wLfqL0+UQTQVhBYsV6R8fubidRUdOqELl2wdCnWrcPUqWjYkN5onBZ2FT/1yr9KhXHj\n6IsA5s/X77TURLObVAehUKizBmvOXB5rlGpklGGU3o3xSy09vfIpXCqVymSyW7duTZo0qXfv\n3n379vX39//ll1+oEgRBioCXz+N25k6YMGHfvn1BQUF79+4dP348FWr4MscT7Ru2/+yzz7Jm\nzlTR3aTlNja5o0axrCo3bVr+duPz+XPmzNGPrgiCWN55uaYOmBIYD5TiGknSK5VpsurZqgYR\nDTq96tQsqpkkXLIxY6O67aKcb7/FpUto1ar8Vw4HXbsWHz3K8ghNtm3LVAoDoJ6Csa46U1F1\n33J1+LX+r9sct7nwy8sJRRzRaMvRoa6h9QxoLl2kKtJ9yQAJ8mXJy+uy6y9LXuqPAhhtOZrp\n6qMsq+VJ9v5s2cK4kvFRqX5TQnY22qotlpaWYDYt0oTKxezcuXPq1KmvXr0qLS2Nj49ft25d\n27ZtpVLph5ly7VMXcPxHyQC6AYwJWA3sGbaPBJjksfw1DOXzgVNVXUIGhAMKIBBoDIgAEdAY\nCAQ0M/Ys6s2dgGoZbalRKNC/P+5oG2qVlWHx4up+S7HLZqgFPR8+rBRt1qG0FL//znIOe+Z+\nSomhBNrFDBKJxJAhK+H821YQzYoljAkazQWAvLy8Xbt2LVu2LCoqikq1ZGdnnzhxYtKkSXl5\neeLH4qyOjMUi/fv313WpBQDwwV/XeB0ApY9P+IoVpZZaGRlZkybPAgPNnZ179OhBe9r2RPsx\nR8c03trYdaOr0yEnX1/fjRs3ent7U24pBEF4enpuXLvRL7zS9TsS6AOcA/SSe/Sk8ytDrgxF\nxoykGTOT9Lz0evdGaCgyMxEdjZwcXL9+ND//kO5O5TwHEll1rLjMS4Q2PJryJxVUUSVRN2Q3\nXssZtc50IEBMtJ4Y4xmT2iw1rmmctLl0X4N9tgZaEu9ZiqypiVPtw+1Fz0T8p/xur7tdyy+X\nhjsuPd4woqH7C/fur7u7v3BvGNHwhPSEziVGi0fTSpd2Mu40y2ZWNef5nui3fKkJD2fTE/6b\nKSsrA6BTL0X1bFeplQeAiiqOHTu2c+fOzMzMgoKCoKAgKyurFy9erFy58sNMufapKxr9j7Ke\nIcGhQwuAKWdeH9gDjAJ0PtFNAc079hvm2lJN8oAB2lUab4A5wHUgCKBS69OAPYD+46ohUOOk\n9+nTjF9US5di/HgwpfPVtGkDT0/QlklaWMDPr/znWKbyGABgjEWKijBtmt3+/Tlz5qTr3Yat\n7lnVW1wPxsC3wI+AMUiSPH369N69e58/f87j8VxdXb/44gsPDw9CqXTeu9fu6tFSCwuSw/h0\noelz9vDhw6NHj+rvk5CQ8Ouvv86dO5fl1fD5/MDAwDVr1jzS6COtj/p7sKetZVsAYrE4rk2b\ne4cPix89EsXHqwwMZG5uuU2bUtmKGTNmyGSye+WOZ+W0RutT5CnxY7FYKcZbIAdKvhL++Pnn\nn4uKivLy8kxNTU25ps4/uzslCT0AGyAB0PizVu+ZqoXuhk0Zm0aKR7YQ6g1YWcGqfK3t8ePH\nvwF2gM7/0EtgELD5xQuxpVheQl9b85bDKCWib4zyW/Zvi1IXJZaWp/xcjVzX11vfz4zVo0UD\nOwP6DvfE0sQOrzqoldHLyLIbshs3ZTc3OGww4hiNfztec+e40rihcUPzlfnjrCoDOy7BPeV8\nakvmlu2Z26lIqL5h/XGW4+bazeUTNXsEeGdYQgqSRFlZ1R/lvwcul6tQKMrKyjRjDiplyfSo\noAm155YtW0aMGEFtGThw4Lp168aMGRMUFBQYGPhhZl3L1AUc/1GCq7GPAcCe7P0f4A6sA25V\nCH/5AzMAzfaMaq6h/cVQExoM7AAo9S4L4A/ga+32XVtgD9BW78AQ4CwQD1gAXYEvAa3P9PXr\njFPJycGzZ2jduooZczg4cADdukHHbtTAAHv2QF1nwK76xOTaOnQoLlwA4PHTTxZPn6b4+cka\nNQLBFcUaSy5KJOclhIpAHrABuAPln8phAcOOHz+uPjopKenG9evzvb1/SEsTpKYCSB40iKVJ\nWNMSNkjfzLaCGzduTJs2jd203dLScu3atYkRiaVTS4tR7AGPTuhkAAN4lF/I1tY2PT09q127\nLL3OYT6fv3LlysePH9+7dy87O9uMbzbs9rDBJYO54MINOANMB4LQaEcj69vWaT3TipyKHEod\nTP80tb9gj9ZGFpaI0Mv/cTjNq3awagHoSWWQIE/nnqYJODQoKysrBHoD/YGBQH0gC/gTOAyU\nAHkleSEGIT1K6Jdtgg3pP4JinniB3QLNLYHpgXOS52huiS6JHhAz4P2N6ScmTtT3YSFBzk6e\nbQj6W+DM5JmDLQZbcCuLdbgEd7rN9Ok20wtUBUpSacZlc7f5EDRuDAZ7Hzg4MH7C/n5EIlFe\nXl5GRoajhk4Plc00M6v6j2ZiYiKVSvv27au5ceDAgajItnwS1AUc/1GqzBI7AjuBLlXt5g2w\nN4A3BowA9q7/1uWr3/T8VhFwAHAFngC3gIeAHPAE+uhldsqAbwHNte6dgCdwHqiUOmJ2Pqt6\nVE1cHHQeTRwdcegQNA3HfX1BEIxJZtqw5upVKtoAAJK0v3zZ/vJlYC6INTRp9FBs8N9w/Mpx\nnc0qklz19GlfgLqr5zVlKbkBJXFBkcBcViKXy0+cOOHq6tq0aVMh6xd5Q7uG7aGhxi0AhpX/\n6ObmxuVyX7x4cejQoZCQkPT0dHMz81aurYYGDKXEi3x8fHx8fAyVhs2uNDNVmUIM9ASGAUbA\nfOAioIBZpJlZpMZ3tAGwDJdJ+Ptr9SmbmmL79q4rV7pHMeiEAkAzYC1oxSziS+NptmpAVfyp\ngHN0b+Agk6AgTpANz6a5QlcI8qrh1ZsGN/VP6GbkdtjpsGbPanJZ8sIUml4xEuTkxMkDzAYI\nOe94R00vS7+Ud4l2SEEqFKBvP5YpZVfyr3xt8bX+ELvhCwC5HCdO4M8/kZsLiQSDBqFHj1qw\nhB05ktHYoGIt4KPA3t4+Ly8vLi6Ox+NZWlpyudysrCxKEqY6UhzOzs5SqbRMez2H+pX9w/hR\nURdw/IdIBTIBB0AMWAFMNYSGwBWgfUUi4z0RASOAXcw7CIHtQGfmHXSS8ATQhTUSmq8dbVBE\nAgOAp+oXZccqo8o+ShEUhCFDdEtHExOxejU6dqz8Hq1XD/7+OKGb/AaARo0wcCDN9osX6a73\nDV3RHgBsu05vqEYC2ysCDiWrHV1UVFRqamqDBg3Mzc3ZV3f37dsHQCgUjh49+quvvmLazeSN\nlrgnmgMVD3UcDocgiIkTJ6or86W50msPrt16eGtYm2Gm9qY2hjbd5N18vvYxWKf3BvQFDgLj\nAM0aO2NgL+CDVkB0NM6dQ2goSkvh6YnBg2Fhwavnsb3b593IHO0/nyHQFYOGDDrrdZZpFa7K\n3tEhQ4YsWrSoVF9TH2jq1fSi7cXSMtWciMv+pGGf+o4OImMSZAw35qzh2WDDYJ0aTA44wY2C\nu5t011EaPZ93nkmhPEuR9W3CtzKVjCTJpoKmoy1Hexh5sE9Yk1fyVyoa3b6qSShlq3RmIj4e\n/frhxYvKLTt2YOBAHDv2vlaJI0fi7FnoL8z5+GDBAroD/iHs7OwyMzOzs7NfvtT6SqtXrx5L\ne5eajh07Pnny5MSJE1M17BrOnDkDoM0H8n76ANQFHP8JTgGLAeopjwA6AM2ACIade1djYaNG\nBALPgFC6oXbAFqAl6xuxRnFPnnYFiSaRwBmgXDWpXz9s3Uq/n6Nj1baVJIkZM+gbVS5fxqVL\nWjrlO3ciOVlXtMPREWfP0utw0PfI0WtP5SI3viyOaZpXLXDoMwy4DX5GBkuVq0qlysnJkUql\nVJsr025qioqKtm/frlAodGQ91TicddD6/T7wMzA6GwkJMDUdPWqUfh9gKVm678E+6mceeBNk\nE9YPXk8jjPE10BU4BOULZYZTRoFrAdwgshLZKGx4PJ6hIb76ClQglJKSkp1dxOdLbtjdII+T\nOAzcBTIBa6A9MAwQ46nhU8Myw1KSvsroM9Fn6p9T01OnbJty6/4tWYnMyNnI1993adelnzl9\ntm7dumnTpukcaGJisviXxUPCfsbCQ4qkhkeBo4ChoUrlFKX4cQYaP4ceXgIv/dINVHV3Py4t\nX9kKzg/ekLFhbb21M2xmsOyvyTtLclW5kqGPQgE/P61og+LcOUydil0sjyPVgMPBqVPYuBFb\nt5Z3fVlbY8wYLF4M5javfwCCIJo1a5aYmJiWllZcXEyZFkkkErvqPN4AAQEB27Ztmz9/PofD\nGTx4MJ/Pv3jxIlVTNWXKlA8891qDoNUSrkMTDodDkiRBELRm2R8/m4DpehsNACGQp7ddANwD\nat0LSA5sBY4DbwAR4AEMBvoC6vtSJ+AvhmM7Abeqc42yMmzadC06uifzF9gUYLP6l379cElv\nSZkgcOoUvvyyimtFRoIlSTFhAnRs3BUKHDuGoCAkJMDaGt26ISAAprpWruWMH49ff9Xbmknb\nF5yNbCuWfuEGwO8wLcSeoG6W/VhU3CqJj48PCAioTtk8n88/fvy4qc6rIOF8wNnpNyftfcNg\nMB2KW1RqKQlYCfwKpiWbcgICAnbupNeIycnJefHihebyMo/Hc3d3t7KyArBr1641a9bExMQA\nMDQ0NOtiljk5k8ndZ6zV2D1ZNHINzobOkR6RAo4AwLlL5wZ/PVgh08gyECC+JTas2jDNZtq5\nc+d+/PHHx48fU5fr06fPTz/99FrOGdjOHkUmuuc1z8JRb9jo6nOskqyabzdffxor0lYsSllE\nP3U9CBAXG13sY1ot5VypUmr73LaMrHEXx2O3x7Ti6ywEBTEqABMcMj6prL591VWT1SEzEwoF\n7OxqIVNTU06ePDlkyJATJ074+/t/oEts3bp16tSpOrfs8ePH79ih5adjYmJSUFDwcd6w6tpi\n/+UkAvPotpcBIm21DAAS4PwHiDYA8IFZwEMgB0gErgDfaUQbACYxHzuxOhcoLkaPHpgzR8Za\nfqElkXPiBMaMgWbvho0NjhypOtoAwK4MqD/K42H4cJw8iYcPcfEiZs2ijTZu3LixcOHC/4uJ\nWQnoyYrR+4eJITY3sKYdAgAnAMgXYej/bipNqyXo6uTkNH36dC6rKyyFXC5/8uSJ7fU067+M\nhUlCYaLQ9rpti+kt9KKNh0A7lN1UF7I4ADuANVWdf/fu3S/0H4qBoqKi8PBwnWS2QqGIjIyU\nyWQzZ8787rvvYiraf0pLSzOvZmIEwLBSMM162mDzwTobnQydzjc6T0UbcXFxgwdrRxsASJB7\nyBnbZzwuejxw4MBHjx5JpdLY2Nj8/PyzZ8+6ubkdWuNCE20AyLXC/u/1Ny9MWTguYZy+xYnm\nKkuVkCDXpq+t5s4WXAvaUgwAQo6wo0lH2qHepr1rGm0AjJK8AEgV0e33+dkKJrmfmmFtDXv7\nfyDa+HuYPHnytWvXunfvbmxsLBQKW7VqtWvXru3b6TOqHyd1KZV/OWeYNb9TgKOAHHgEKAAv\noHdN1Sxqj6HAfUDfuH06UK1C/NWrcesWAEdWtVAtF1eRCHv3Ytky/PUXCgrg5ISOHWnzyW+A\np4AS8ALKk+QMYpeozigdOTk5/v7+1zV6ZxYC3wK/4BsDTGVJOhEgLPuNzD27nv68A8r/VRGq\nOfw5J+6MTnFzU1XVg9evX7/GjRuf++3cy8SXGbkZLArreTHpzqeCBfJQSFpg+hOsoN3r/2iF\n3GYDR7QbjnQgSfLKlSseHrp1CQkJCbSPbiqV6vz585c2bpwAmAIpwGV1cXQe8BOg56vKJbhO\nhk6nXE5dzb96JvdMXGmcOde8i0mXEeIR6gKOTZs3KUroKyjJ/eQv3/6yq/4uAObm5praa39c\nYf5qvdersVHj1yVachoqqPZk7ylSFR1xPqK5vatJ17aitvcL7zOeTRtaC3smNjluiiyJ1HGg\n5RP8/Q32dzXpOiBmgM5124naHXJiUh5hg13XKiY3fds+GlAAACAASURBVGzC2LMNP4Th47+N\n7t27d+/e/Z+exbtTF3D8y2FVgUA8MFJPReCfYgPQC/gVeAoQgDfwf0B1DZgqRIx9Hj9ukJCQ\nQCc/RQBf6G91dMQ33zCd9S0wDrimseUzYC/g5uUFCwswCfx17VrNWVOQJKkTbVDsBUxhswGM\n8p0qDhb/iJipS9D1Jh7r2ZEPgFkXs17yXp5KT0PSMKk4iXNsR4ewt8n9+8dMmMA+pSZNmsxe\nMbv9pPYz+8/c9gujI+jmwzs3gWwEszEGObO85HyaeDWaKagggCGsAQeAjIwMlUollUoLCwsJ\ngjAxMTEzM2PSVeSWlNSfPz+KJNXPtyXAMuAn6pdQILtckI4PvqPSkSAINzM3E64JgJ6mPbVK\nKJTAdSACIPDXFaZcH5CA0NTQS2aXksqS7A3sOxh3oPpFlUq2Piej3PpJpfR9nEelR2fZzvIR\nVjbpcsA55XKq/5v+z4rZ/1QVL1lVoiAV0fLo/dn7I4sjCYJoKWj5rdW3tGb0FlyLu03ubsvc\ndjL3ZIw8xpRrSgl2NRU0BXCnyZ2zeWcv5V1KLUu1N7Dva9Z3kNkgnZpWFh4UPjibdzZBnmDF\ns8q3/o5Nmtg+ISjvTlxpHO0k6/g3URdw/MthLwD/2Lqpelcnwigpwe7dCArC27ewtkbXrhg+\nHBXGqhyVaseECQPOn1fqJQUm0cg7sZEDdAF0CjLvAZ2BRxERjkz2HF5eGFozdYRbt27pRxsU\nW7F1PubbVDrvhgFPpRbK5HrNQtq13hVAPGoFwAS3b2PlSuzfX/53aAj8Dy36t1gqW2pCli/s\n+8L37arB5KlT9U+ciB0/nqxy3ZnAzVE3jwUeY9mFarV4g7wfEvIu/dj9qvVVYabOe4qxoBWa\nXcoMiESi+/fva/rSiUSiMgalJ48VK6y0BQmMgNVAKSUnQwJJEIqF/yf/v17yXpTOBFFIRCmi\nGjVqpFWd+hAYDlQsQJSyCtdFSCP6xZQXCAs5wrm2cxfZL+JyOSzhqIWVIlXF6O1yJf+KOuAo\nUhWdyzsXURzR16yvCdfkTuGdKkvurHhWgemBC1MXqh1hLuVdCswI3Fl/5wgxTZOoEcdolu2s\nWbaVqqByUv6g8IFMJatvWH+w+WAq30SCvCm7uTxteY4ip4FhAz9zv0b8RkxzKCPLxiaMPZhz\nsHJT8ysEN4pU0mXwbZLR7D6AJ0VP6gKOfz11Ace/HHb5Kj25o4+ezEz07IlnFU97r17h7l38\n8ovmLn2Cgy/17Tt18+ZoV1dqixkwD2DTyKQjkOFumQEse/16N631qKEhTp+uqbThzZs3mYYU\nUNzBnS/xJRADjALuArCQwkIKFcdrx4TfAG8AEAqxciVWrrRPu5Ya2xNGsFRZLpctF+qFlIlf\nfWWUkmJ1925mhw7ss+KUcjbc2pCdXd3k+t2Qu6uHr15+dLm2+S9bTMtoNFKBRCLRccGlljr0\n9zQPD7cKoXdjXwb8ChQCxkbG6wvXN1ZWusSRKjItLU0mk7Vs2bLcn+UV0APQsHFtgAYRTB1d\nfCgtKl9tkapoaerSPGXezw4/9+yJ47raKOW4dn7LUgGUoSj3xb2Wf21Ewoj0MhqzWRYyFZnz\nU3SLT0tUJWMSxrgbubcSttIZKiPLTuWeupp/NUORYW9gL1fJL+RdyFXmUqNNBU3XSNaEFoVu\nytwkVVQGUHOT586ynbWm3hqCTsBkXvI8rWgDQINX5JhV2K1XtsxRYsF4cBUA5Kpa9ntWKNjN\n9er4B6grGv2X0x9wZRgaXI1HzOpzG5gODKkQ3fpQZvFjx1ZGG2qysqC9ntHz6tUod/fnXl4X\n+/W7u2hRGjC/KntbfVi0yM53ZtANKS1FBFO7MSO5ublso8gFsoAuVLShxuv58+vdurloSKdz\nVaqRXCmMAMCv1E8/2qB4M3EiRy4XVKwJMcFJ57BEQrTsu7EP9wEHzVDMm6Uu6CHr2fr16+fs\nTPMOpX3KF4fStl0DgDHQDhCJRCEtQjSjDTWFhYWVWo3LtKINAEMqOqlp6EzTtL0hY8Og2EET\nf8ikNbQXizFiNpuZnBXPCsDz4ucDYwfWNNpgQUkq16frFvqklqX6Rvt+E/fN/uz9l/Iu7cna\ncyjnkDraABBRHNE/pv/S1KWa0QYAFVTr0tetSqNxFJAqpVsz6RrOxy/GvMkQZ1RucXmBrX3Q\nsVzjrrERm12w+rpV7nPuHDp3hoEBDAzg4oKFC8Fcg1TH382nF3D07duX0g7Sh8vlHj7Mrnv5\nn8MQOAPoVzR8BuyupUuUAt8AnYFNwElgHzACaKHlZ1FLxMXh/Hn6Ib02ToIkm4WH9710qV2X\nLqzq4oyw3JAzbGzKmJYx6Bor2GHXGZRAAqyj85CBhVS6dOlS6me+XL5r3Lgfuy7y4rkD8FR6\nMp2Q5PHSu3cvsbO3vGdp8sqEUNI8pBpKDQtjCvW96dlJTk5+IXwx26GrD7iNIPoc4m2Yr8Q4\n2p3TwGX6rBIgRnJHTp0ylWFcy/yFwiBPv8W7Emtggs+EJ388Wb169ciRI//3v//Nmzfv2rVr\n6tglI6PiRqgnOD4Mw3rQljlZaijgahOUGzSc8DlwLkunlKhJE1y7hi9cWxlxGN+SPU16Avgh\n+Qf9jpX3RKcClAT5VexXT4uqMHCkNYmlWJ22ulClWw56v/A+fastQWLINt7V+jjSAtt74Gxj\nnPSEb3l9lJuRm2blig6v5K+Gxw8Xh4m5T7gWYRbD4odFl9D7Ty9dCj8/3L5d7tYcF4eVK9Gu\nXXWlgz9maG95av7p2VWXTyzg4HA4wcHBTIlMlUo1fPjwT0jn9e/BHQgHNgD9gTaAP3AQuA0w\n2pnXkHmAvtlXFDCgerZtNeDx45dubsuWLBlx8OCEHTsOjhhRoulUQvc0jEWL8K5F3Sx/H+OC\nAgMmzyhmjzQm+vfvr38HrZiDeSd0Ami1RwFg0NmzfYKDF6xa9cLDY8y+fYaRr64sMOtl2suI\nrCLKIjlEdtvsxpsbd/iig/1le82wQ/xY3HJqS1XmuzTxt/X1XX///hOoYlD0J6STsb0T7pdB\nXxlCko9DpnrOgBJI1mDNC7zYw99jYMiYmeLxeDrijBwbGodVNQ3R1vG247fTvr127VpSUlJ6\nenpoaOjq1asXL16sUCgAlJSUkCSJMkCv8IILbhCCZmGWiKiQkSIg6CTAPmYnZSCxNPF35xmv\nXuH8eaxYgVWrcPkyXrxAy5aw4FossKWXwPS38G8japNalnopn150/H0oUmmlsG4X3A4ppE9C\nVZNCVeHDQt1VqnxlPu3OFG1NWhOuYfD9A45v1BuFHOG+BvuYhMjuFNzxifI5nHNYqpQCyFXm\nHsk54vPS53bBbZ0979/Hjz/SnCE8HPNotQH+LRixGzZ9THxKAYdAIFCHGlwut23btitXrkxI\nSDhx4kTHjh3VZV/FxcXW1szKBP9JTIDpwHngAXACGP7exTuvgb+AaEAKMLWBRwFnqjpPMnAL\nCK3KbIVikbu7Z2Tk0qVLDw0f/sv48SMPHPB48eK5l1f5cJ8+2LkT7drB1BTW1ujbF5cv038D\nVY8uzEOdbzFLkbG6ltDi4eExaRK9EEkgAoUQMsvQw0Qmu9S378offlDnVuwu3r9c8JO3uXfV\nFyaQ/GUyr4Dnttatw5cdvGd6N/++ebsh7ZrPaS5IFkTepjPCZYXL5cr01q9D8HgUzIDzwEig\nEzAAWA9ENsHX4QhfjdXd0M0HPgMxcC/2xiN+Lua6wY1XzGNw8wCA16rX3YhuG203ZjTIcPdw\nb9Omjd2oUUw7K2D0BdbNwAz9Ztq7d+9S1rjUoikMADoXLQEEgQjMapgVGhp67da11PTU7b9v\nZ1ISU/N77u8wKO3fHz/8gPnz0atXZd5vof3ChXYLDYnK/mQCxAjxiP0N9itIRadXnd5NdJwd\nJ76T5q8hBe8VbVBQQYAmDgYOtHtS9DDpcb7h+VbCVlTxhwFh0M+s3wPXB21F+vaLACAn5SPi\nRxSodN9UharC4fHDdRaB9u5l9Cw6ehQ1XK37UFB3K1NTU6FQ2Lp16507d1ZTe5PUQ6FQtGvX\nDsChQ+/Sq/yP8CkV1VALvPoCavXr11eLu1GLS1lZWX//9P4jBAFzKkv4Yce6jHGXWUUjApio\noS5qDEwBloLBpBLYAazw1E0TxDk79wkOfuHhYZaXhyZNEBCAgIDqvY6q+R44TlfYaAAsPniQ\n5gAALi7QdJMvLQVBVKeGdMOGDRYWFoGBgUVF5Re0hvUarBmDMQAAMVATZaQnTxoPGBCRXXU1\niaxxuRYaT8azeKa1ZpAYxaZoQguTPulxnNiAjbbor7NdDPH3+P570AhhgQQRTZCe9N/F97j3\npErpOeW5cyXnBpIDT9mcQseO8POjcdQAeFi1AweYbuHnzp0bPny4qaBCh60HcIr+1Rn1NGrV\nqrzosktpFw447GFBkaoorSyt0olNASQDPKAeCBDLJcsnWE8Izg9OKk2y5Fn2MOnhauQKYGby\nzDfyNyynfWeGmGsVo+hnQ94BewPdRR5fka/EQJJSRpOQJED4mfs1FzTvZ9YvV5mbo8iRGEhY\nsksArsuuM1noJZYmXpNdG2A2QL3l5UvaHQGgsBAJCXBlKmf7u/j+++/XrKlUvHv06NGjR4+u\nXr164sQJpjVOFn766aeQkJCJEycOHqyrXPfR8imtcFBs3KivDlUJ05NiHbXCAeALjWgDLI/e\nAHSUPTWIANpra5kXAKsBeuFDQAUGTSkgRSLZPW4cBAIwe4m9G02Ac4DOSr0ZcAxos2ABrPQE\nxc3NcfQo+HwoFFi/Hu7u4PPB58PLC9u30xuvVMDlcpctW5aSknKxw8UDOHAd19/ibUW0AaAb\n86EEoOcYUVpqbW1tFcsuwgIAJbYlZeb0uSGOqmZfDiyWECqonoPGQIQd+8P2HDnNHIh84rTB\nafWv5/LObcjYACBv+/ZHrq6aEYoSBiRWATOegrFSITs7W5ojrX+lIixYwtBYI4ZmXORk6DTO\nir42RZNyK9ccYAIgBpwAB8ABWAsoITGQjLUcu8R+yWTryVS0IVVKt2YwWPy8H74i38k2kzW3\naHrSvhu2BrathbptcDyCt9VxK21+ZJL1pOaCch1jc665C9+FPdoAEFXCbPOrN8p+y/7HO1au\nX7++Zs0aIyOj7du3p6SkyGSyEydOiMXi06dP76q5nUxsbOyPP/7o4OCwdm11tWU/Bj69gCNe\n039aD02xvzpql3xgWlX+FzowfaVN120FKOcMQ29IDGsJ518dO2LjRtSrao275nQHYoB9wBRg\nMvALEAd8CcDLC2FhmDoVDRvC2BhOTpg4Ec+fo00blJaif3/Mnl3+wEWSCA/HpEkYOpQ95gBg\nZmbWt2ffERjRFV2NoPldPA+gNV4xAB4ABUAasLnSbKVxYwCeUmmDw4e5RWzNpypDVcTSCFpz\ndk8wlp3q0LBhw/nz53upc1t0ZDbN1N6QAK6un4gmJEG63ndtPr85P0OrycU4xrj1tNY+oVoF\nhjuzdmZlZfl269Y6OtoNmAjMB0YC9ij7P8QBUIJN1t1xn6N4c4U4bFPgAnTTJY2Aqzo6tdji\nuGWUJWMeB4CToZMVzwrZQDvgF43oOxmYBwwt/ywVqYoiSyJfy1+roLpXcO8dzE304RE8HlF+\ngxVwBJOtJ19rdI1PaP0lB5gNqPJ+zwIBYoPDBvVVNPnC/IszDc9oimqYck2XS5ZvdGB7VmS6\nCssoV7vzjMVy0cwMjo6Mo38P27ZtA7Bw4cIJEybY29sbGxv7+/v//PPPAA4cOFDTs82dO7e0\ntDQwMFD0UTnUVcWnZN6mrsVlmXN19qkpn7p5W21xGqjRGgIBPCmXidAiG7AB42L0CED/w/cY\n0BUQ0KBrTs71mquJfyjWr8fs2fRDu3dj7NgqDk8CXGkVKu5C9D8UaqY5rID9gIYtLRKK+R1C\nu5VlHtjkKHBuKXfmuXmqcnNfzp6d3oNNTtZ7prdOPgXADdzoxrayUomlpeXcuXOjo6P37t3L\ntM+ZRWcGLVf7d10FAgAxcImp8DKoc5DfLT8AKp5K6iMtbFBIqAiTVybm4eYgsXjC4uXjlmvu\nP3r76P179tOe6hIuHcCBY6BXMDPhmKxVrU1EoniluEuvLj4+PgAgBy4BzwEu0BLoyZh8vpB3\n4YuYLxR09SZbHLdMtp6MiTSS6hS5h3IntZ90SnqKsqu14ll1Me5yKpcho1NtnA2df3P6rYWw\nxYviFzyC527kTpnC6LMhY8PMpJnvcAlzrvlWx63DxMNY9lGSyrDisPjSeCueVSthq/LFnhry\nh+yPHq8Z37qXG13uZdpL/Wt4OFq00O9XA4CZM7GeQf2/tqjSvE0ikaSmpr5+/bpRo0rNtMzM\nTBsbG1NT0zzWNisdHjx40LZt25YtWz7W1xf+uM3b/ullpppgamqan58PgOqA9fb2njFjRq9e\nvU6dOnX8+PE7d+5QBecAPq2g71OBzSebjil00QaAROZog+kq9QCCeXHFoXrRRgRwBkgCTICu\nQJ8PtL63bx/bEEPAkZGRkZKSQn1NGJ8xlvwksb6hXfjcpj0uvMbNc/jtN1y8D6wHBgM6Ug8N\nbrba1neFH95+DaCeQb3AS9O+HrityaZNeV5eJba2TPPKa55n8cwCRkAzQArEASaIEt0B2xpE\nJdnZ2fPmzfvss894PJ76M6iJvb29RQcRiKEglUAx0BvEEZAEcAUoBJoC7oAZwCcJ5UPPR2tH\nrbXJsaECDo6CY/nA0vKBpeYJhcXad68ynDx+kml6B3FwFEYxBRyFqsIJmAAAPwA/wLizsdXq\n/2fvPOOjqN42fO1usukJkEAKLYSW0HsvgoBIFwFBEKlKr9KkiBUBBenSEaSFJij8KUrovYMk\ndAhppJCQns3uzvthk82WmdkEUeGV67cfsjNnzpwt2XnmnOe5b68KRSv0atar7zt9bXq4d/Do\nsCVgS9+HfS1qQIYVHTa86HD0YhVcuVxceXFTUJ5zSrw2/rmjjWWllmXqM/XoKztWbunW8n7W\n/R/jfozOjlYqlJUcKzV0aVjRsaJxtkCP3vC6xhYb62XnNS1qWrgmR4akvEN5Q4JFsi65lLpU\nt0LdUvWp06KmXUi/AChQVHCoMKLYiEGeg2zOjqgUqlrOtZ7D6c2UN1zfCHIMEl1YqeBQoaWb\nWUBctSoLFzJqlGXM0awZX5pFp/8OcXFxQIkSZkm1bm5uQIaUbLEEs2bNAqZOnfriRvcP8SrN\ncABqtVpK2NiISqUS/dV7bl7PcBhYDkOk93qDUaXIHVpBQygLrcDCNPMuyEj8tJOoAW0EpyUO\n2WFY5rAiG7bAr/AEIuCBechSF3ZZzZ3/VfT6nBwOUTw9sUpnFgQhLCwsJsYyGab4MVWFtfXI\ncqQs9IAhJvm07a+xT3z9Qq/U+xz0iSucs36hQPGT948f/JIdmZh4u3FjqVGX1JQsZ1+OOrnr\nNomg57u1302YMEH+5VpQo0aNK9aybKBQKD6fOXPa558r9MNhnvl9jgAzwVBM5C4oMiuN1ITd\nxv2me7Xwao1oNJSh/gbTWxM+nvrxiq55zvXF44tHviUZHNWm9gUuDGPYMqmpBgvqwjJQ0Mi1\n0Ry/OVWcqnioxGpXTHioebgifsWZtDNZ+qxAx8C+nn2buzYHiAXJMI8w/7CgHUH5GpItIqtG\n+tn7ATpBN/zx8BXxKyz0M3ztfccVG3ct49r+5P1x2jgnpVNz1+aTfSY3d22uR38r81Z0dnRJ\ndcnyDuL/mvHa+ARtQjH7YgazmH+SaxnX3rzzZrzW7B/H087z9/K/13ASuaM5c4b58zl1isxM\nypfn/fcZMuSfSOCwOcPh4eGRnJwcHh5e0mR1JzQ0tFKlSiVKlHgs6zppyu3btwMDA/39/e/e\nvSuaavp6huOFodFotm3b1rNnT9G3UqFQTJgwwTQN+DUvEHmf7J1QGG7CIjgKO2EnAIXgBzBd\n6w4AH+ls00YS2xdAc7C+EXhb1JINEqCdrJbleegI5wuuQCqHQoFKJRlwiHm+x8TEWEcbQGQz\nXaFj7Ys1b86MGZb71JLZEkq9skJ4BWPAISCMTfi029DHjonpXJNM23So5EBJ0MIcWAYPAcoU\nKbAO7Z9/ilfSCoKwfvXq6fqmsADLVXkFfA7XYZeW5A8EwhYCJJN8ghMnOLGEJRvZ2JnOxgMy\nHDJ+bfYr4Jzp3PVw1zo365TXl29vtrRkhsE2ZSlL61FvPvOvc11A8MY7kURxn5TzcAYacir1\nVJPbTVQKVWePzj+U+KGkWjILwF/t/42fiOymvPlypsOLqdRs5NLIEG0AHzz6YPNTkUmV6Ozo\nCZF54WOGPmN/8v6DyQeXllr6sdfHQY5BQY5yoY+XnZdBAvWfp5pTtWtB1+Y+mbsveV9sdmxR\nu6Jve7w90Xui8SVb0KCBpKj8v0u1atVOnDixbdu2cePylrG2bt0KNGwo/+Nqxpo1awRBGDx4\n8HMUtvzrvGIBB9C9e3epEPI5CA8Pr1ChwksYCb6EVIN2ICpI1BwaggCDLfS3IQn6gzMYPzMl\nTIKxYv14wkcmT7NhNxyDdCgNa2AWedUODvARfGt1BTPwoS3lbOAy7JaYHSkYgsCFC9y8iZ0d\n5cohcd1FLK0yNDT02rVrgiD4+/tbpDxHdehQbNw4KlfGouxNNkTSqszCnQRtwvHU428WelNq\nvUOhUHh5eaGFLmaTS22etilCkacUQKNRZvbxbnh4ouuiwqlSOYDjYNcsRJY90kjrRa+b3DTO\nc0wYMyHaK7rx1cbBk4L94vwAPXoffGIkgtgaqhoMg+L0C+jXL6lf+qj07Mzsi1x8E2lFuLN5\n8bVO0O1M2nk27ezZwLPF7Qs4I+YBFeC2+M4LQRcK1psYrkrXxSVzCluupF/ZnCi9hGOFHv2o\nx6NaubUq61D2r4/k5k0WLODUKTIyKF+e997jgw9EY+wC42vvO6/EvHnMewF9/Xt8+OGHJ06c\nmDFjhoeHR8eOHZ2dnXfv3j137lxgyBCZuWMzBEEwqG68L+1x/TLz6gUcL5ZKlSpZuEO9RoYN\n0BEsBINqw1ZQwA6raMOAABOgm0lkMBoewgLzZt6wE4yZC3egM5gu3iphAmyEu+AKdaTFQG/K\naHOac/SvBxyXLtGvH9ev225pbgofHx8/evToLVu2GOJdhULRuHHjUaNGeeUW3KYGBAB8/71l\nwFEddiCKxl4T5m8pRxCRHaFSqcqXLx8aKrIWLgjC48ePKxyuYPGWueG2hCXv876MuHWBSHKu\nejX1yA/8cJrTGjQVqNCb3kMZao891NWhWCRxogwylrN8FrMoz8lPT15ueLns/bL7Ru5zT8up\n3FGiHMGIaVh5g4EddkN1Q9kBd3LqXZ1bObOKhL0JXJUeq1UCX2R25JTIKev9C1xNwCgYIbJZ\np9Qt6bGkoJ118OhwLPWYUc2zkUujJaWWGFcWhkcML+hnpRE0Pz/9+TPfzwo6Egs2b6Z/f4w/\npffusX8/mzezezd/kwzmgwds2kRYGA4O1K1Lr164ixZyvTQMGDBg9+7dv/3226BBZgXVw4cP\nb9kyX9nZwIULFyIjI2vVqlXaQjb/FeG/HnDcvHnT5gyHVqt9VTJdMmERbId74ApNYbxE5ubz\nUQSOwS7YBxFQHNpAt1wHq/3SBz6CUKiU+1QBP0Af2Ay3c+21+prIPGZAW7DQkdDDbPCWmB0x\nxebchhE527T8cPs2LVuSnwzzsWPp2pW7d58k3rvkEfXMxWl6m+l3b+ZJPAmCcOLEiXv37i1d\nutTDwwMwOMifPnfu7Pz52VptxYoV27Rp4+joSD/4VtxrdVPbTc9cLQdjSEHw8fGJj483ZK5Z\nEBkZWeR8ES8s58x70rMQhSY5TLqWlTuv5A6pskm/EtjZ2W1O2TyNacbw5RznznFuJzv3sc8Z\nxwco46SLV8/XO89mCKAxjU9ykqVgLls1iUmXubzDPBCzx34Zy6pSlSjYnxtaloGv8X7LGwkD\nPgCxLOSdSTvXCGtEC0HlGAbXYIXZNo29ZsinQ65UFMl3kaeZa7PtAduvZVxL06WVdShrusqj\nETTnUvP/xc9DXusiP9y7ZxZtGDl4kC7jb9ScutFR4djQpWEr91Y2k3DzyQ8/MGFC3tLl6tXM\nmMG2bTRr9kK6/1tQKpU7d+5csGDBunXr7t69q1arq1atOnjw4A+lRXKtOXDgANCqVau/bZh/\nL//1gKNUqVI2HapelaWyRGgFl3KfJsAj2AprQa58rYCooJtEfWys2EbTvZXMt9SRLnb92Sra\nMPI1jLT1xc1/zrdxilwHa2A93AY11IfR0NTm8dOmSUYbZcuSno5CQa1aDB1KenpirXIj3723\n5S10qTAPxFzeoqOjf/75Z4N+XdKlSw3grE5H7qKvj4/P6tWr27Vrxzr4wNKT93zl82M+GWPR\noUqhauySky5qKPISJbpitHXAAbSlbVtt2wiVenq37HV9wQcOISoNKk+dOnWmnZlmPVlylKMz\nmTnHefyzidPJNaKzJkudRYDJ8yOWDeyw28a2bWzbwIZb3HLAoQENRjKyGrnLWOZX1fr16xcp\nUuSplKmXWH5tmj4tThtnra1pAwWPFz3e0WxH0Y1Fq9yrkqnOPFfl3LJuy0LLiF/m7RR2WkEy\n572kuqSDwsFabgsISQkRrc61iUqR32WPS+mXViesvpZxTYGipnPNQZ6DygpVN2xg3jyRaMPA\ngZ9KHeg7D3sNUMOpxraAbeUcyok3zTc7djDW6p4jNpaOHfnzT0rISav/y9jb23/yySefSJXN\n54NTp04BBkXzV5H/esDx/4mxJtGGkWwYBI2xSvT/G/CU3VuglDNpqxIS4IataZsA2b2mdAIg\nCzrDAZPtEbAT5oDcb4MgsFd66aZIEe7mTmAsX541akjrNVw0ZuYdljzu2LFjw4cPT09PHz5n\njkXmekxMTJcuXY4cOdKoeyMqwTw4KnA/HuHuU5rv4QAAIABJREFUop7BE0Yvy1Jb/vB/5PWR\nj70PoNVqZVYP00pKC10rhRLZ2ndiWGeQEq0v2VAKe3t7Pz8/qaWZ1az+Rlf0q7NnZXooa3EZ\nEZuYUqDoQQ9JN3nz2RMHB4evZn017ONhIi1bgEQtp4uywPX2v6f8/u79d5ODkiW1ck1wVjov\nKLlg5OORolaxLkoXg5esKHkTFcc7sPMjblcHqHiFritoIrfAWMXRtvtPbCzDNu7beeOq4FSI\nGkpqHTueenzJ5f2eY8/G3pPVWkxzJ6IsZUKBKxlX2txpc73S9ed4G2NjefwYJycCAyVrXJOT\nWbCAuXML2verxOXLl4G6dUUizleC1wHH/xOeSRf8Z8I6mPn3j6ENrJPYVdxqekMe+SUKmwsY\nzWULYYz0A4Nn1Nfm0YYBASZCU5kr7LNnyOh4Rkfn/BEXx/jxK98xiTaQG1x8fLxerz80b95j\nser87OzsKVOmHD16lMqwGlCweg+DBr13kC1tOFXdrHHPwj3nl5hv+Fvew1phL723mp5LtDuB\nZxIJhcAdSkG4TGeW6PX6+9I66095WiZrcsT/5NZpelvUNfoVbAAAy6G/mVpo6fdK8xAWmqzO\nKKEjTBTvIMgxyF2VlyaQJWSdTD35UPOwkKpQY5fG3vbeQKw2NlWXWlxd3CDrGauN7Xa/m7yB\nKlDFqUoxu2L1Xep/5PWRv9o/SZtkWlFiZHbx2UXsJCVnclYr5i5ky8i8rTGlONqJnouYMEr0\nKBelyweeH8gPb/Fixk/QaTLbQbucTdVP8XVv3dgdNqINA9o8L6EHmgcr41eOKWY5DyfDkSN8\n8gmXLuUYsxUrRqz0VOrx45K7/n8QbfxVeTV5lQIO+V9MC16VrIsXRaisiVqBfSyei+4wD0Qz\n72cVUGVLvhjAZqmAI6yAdyxva/NwgtG54g96yxX2PARYLhNwuLlhZydZBGuUI9u7l7S0X94w\n3+ss6TTjqFZXmj//y8OScyAnTpxIT093dnZGB1eh9EBmFi225OPjg2L2N+RQA+K97Er41+vc\nfm4Dt7ypV5VK5ejoKLWA6FJI+qZztIrFde3OnXvjUr1iT2vbae0ONj54K/yWZHsrdDqdvJBi\nhGxWSHNofdfcz6wjnJFsH0/8JjZd5rKAUI1qventjTdR0AuO56Uu38q6RTd4G85BFHhAbTnH\n+UneeR7nWxO3jo4Y/SQ7R3rGXqfocb5QldDsdF3q1fKENHZ4y6vj3BJztzzd8kxnIzweUXTE\nopKLTLd84v2Ju8p9etT0WG3OpdXH3meW36x+nv1k+skWstnfyyzaMLJlJNVO8ZZlDZAK1drS\na+X9XTdsYORILCujrjZi8BGi85G3aK+h+APTDTtPP7qyizNn0GioWJE+fXj/fUR/2k+fZsgQ\ny2pumWgDkF4zfM1LwasUcLxGBvnw6p+p+rWD36AP/G6y0QXmgI17KCs6w3KJXZUhP4vAHeEP\nmADnc7cEQl8IAA9oYFLhEmMiWWaNXKymUtG8OX/8Ib63RYucPx4+BCIsBKCqw0Hx45pmZfnu\n3RunUEiZbev1+vj4+FIhpfjU6DHTieIdlZNC2wVeaOflRaNGiJkK+fn5Sc00FK9dnJnwudU3\naRR8APp5nLPbPiEn9BIQ+rn0W59mVrJhh51MDkHhwoUfPHggtVeezlhdZ0bBBhBzB93Frn70\nSzbx6pnBjJWs7EUvTsIlyLVhyXHicIEWIv2YokAxxWeK0Tlle9L2Xg96GVeI6v7J5k+FshF5\nRu0R3lm9v9pep16IaLKFkdLq0p/5ftbfs7/1ro+8Purv2f9i+sWL6Rf3Pdt3JePKoPBBM6Nn\ndvToOMVnip+9X5o+7WTqyVhtbFG7oo1dGz/IejA9ejrbJL5SoNo+UmcecASoA3YE7KjhLLc4\nKQhIqlnmJ9oAWuzC2SSy3j70xJzvj+feBzx4wP79bNvGtm2Wnsq//0779mhk7qLEeJkTOF7D\nqxVwCIJgUHPjvzeBYZMKoJK+oX8xcob5wBsOwXk4Ds+gLHQQT/m3wdvQGay9xu1hkUhzcZrD\nuVyZUW+Q+i36S7HazJkcPSoyyVG4cJ6jirMz4JFq3uBDOIz1BVqpVE5Zs4Y6dbyGDOHECdFz\nKpVKz2BPLCbdIxXMqsSSSvSVHGypUqWSk5PjrdROlUplRESEaqzKvb6Kb59xxxU7e2o78LGS\nt+ApTDfLolSg+Cntp27e3b6q/lVKRIraXh0YGFhEV2TZdkkpzxYtWly6ZJ1ilC/8gKLmQu+u\ncBg+gt/ytt0ufTsqIapnak8LOa800j7gA3/8G9LQNOCo7my+/mRO3yJ9n+qeZgvZgY6BfYv0\nNUp06wTdmMdjjNFG6WgODqeQ+WRViSfsG0W99QkXKsgpbURlR0VmR55JO5Ohz6jgWMFC5MNe\nYZ+mT5sYOdEomv5I82hx3OKfEn76uOjHK+NXGudO3FXupdWlM/QZOXkbYjjfbTizxPfHU4+n\n6dPKqst2L9zdQhdclFu3yLcAphjFHzDeJL3zVk1mLxasXIh37+bbb5k+PW+LTseAAQWONoB3\nREUAX/PyILxqODo6/sPDNizlKBSKf/Kkz0FXQUDsYScIN//tsT0HGYIwWhAcTF5IBUH4/W84\nkVYQCku8dQjC+zaP37ZN8PAQIO9RqpRw5kxeg6NHBRg/Fi6aP74Fc1MtBweHVatWGQ76+uuv\npf5nmzZo+qTtkztD7tweeTuiU4SmkCZvuK6CkCA3WL1eHxUVdf78+ZCQkMPmhPzxR0y7dnmv\nwtdX2LxZEARhmsj7klYi7fjO46aHb9y4UWrRU6FQ3L59e9o0EZ0MmzhCHAjTp4u/nnuCsFUQ\nfhbW/bGOi6jelCy46EAHAUFYbPK567XVblaz/FAuwkWC/gzS6DWiJzyfdt605Y/vYvbRmzy2\ntBHpWebR7FazGxk3jCdK0aV4X/MuUA84pkmMRXB2tvk9FuHECakXZ+vhnEy3pfzhZTa8rsul\n2vv4CDrdXz1v/fpCVtbzvMwXQnBwMBAcHPy3nuXEiRMtWrRwcXFxdnZu2rRpSEiIdRtXV9eX\n9oL1Ks1wGBg1atScOXP+7VG8jCyCK1bVpAr47h+c4XiBOMIP8Fmu/3pZqC6RCJIOxyAcikBT\nOfMKcVTQ10qFzMgA2WPT09MTGzbUnj2rvnrV8/JltU5HnTp07oyDiah106Y0ajRm06lVXXhm\n6rbWGmqh+FXRJKqJj9KnWrVqffv2LVWqlGHniBEjVqxY8eiRpZmdvb197+69/6yZJ2Z6b+i9\nCj9U8DngA5AKB6CX5IAVCoWvr29MTIxgNUcoKBS3RowodPasQ0ICQHQ077+PIPA/ke7ujL6T\nXchMV9TX17dDhw6//vqrdeMBAwaUL1/+yy+/DA8NXb/DTCojAAZCTVDCn7AOLATUZoJXiRIM\nH8sTcMsR7zI7PgAgMiaSKHTXJJU8jhhKaU2sQlQK1dYyW9+882ZUdpRpS2977+AywfYK8yn+\nXKKzzbL2WkunksjsEuVY6rEGYQ1OVzxdxanKA82DTU83GXNE8ot/GGHiBTZBz/UTIO33B4BS\nh14swvOK5tcyWBVMcaumVE8xMTx5gm9uAs0B6xRuK4oWxagpY2dHnz788AN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0u9Ip8WxQQCHwhqX9QC2nWk+rPQ2rFPak2pOrQVf7lm1n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\n8r95Bf+EN6OAIz58X3QOO+ywr776qmXLlr63mn8x///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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=6, repr.plot.height=6)\n", "\n", "plot_multiclasses(X, y, 2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display in 3D." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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a5XrlyhCa4tEUeFA8DPP/9cdyPbGbbu9rVr1+7du7cRMYSHh48fP/69995T5/Qt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LJnpQzGj6VIXFEs6TR+ow3h19aOZ7A8i50+t88s8AACAASURBVACwPY4ERedTC778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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_multiclasses(X,y, 3)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the $D$ matrix." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "D = matrix(0, nrow=n, ncol=k)\n", "for (i in 1:n)\n", "{\n", " for (j in 1:k)\n", " {\n", " if (y[i] == (j - 1)){D[i, j] = 1}\n", " }\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define the energy $E(W)$." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "E = function(W){(1./n) * (sum(LSE(X %*% W)) - (c(X %*% W) %*% c(D)))}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define its gradients\n", " $$ \\nabla E(W) = \\frac{1}{n} X^\\top ( \\text{SM}(X W) - D ). $$" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "nablaE = function(W){1./n * t(X) %*% ( SM(X %*% W) - D)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 7__\n", "\n", "Implement a gradient descent\n", "$$ W_{\\ell+1} = W_\\ell - \\tau_\\ell \\nabla E(W_\\ell). $$\n", "Monitor the energy decay." ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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mTJ2rVrt2zZkp+fX1RU1LFjxy5dugwZ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\nNP5wO/eZv1IAAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/ml_3_classification/exo7.R\")" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Generate a 2D grid of points over PCA space and map it to feature space." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "svd_decomp = svd(Xm(X))\n", "U = svd_decomp$u\n", "D = svd_decomp$d\n", "V = t(svd_decomp$v)\n", "Z = Xm(X) %*% t(V)\n", "M = max(abs(c(Z)))\n", " \n", "q = 201\n", "t = seq(-M, M, length=q)\n", "B = as.vector(meshgrid(t, t)$X)\n", "A = as.vector(meshgrid(t, t)$Y)\n", "\n", "G0 = matrix(0, nrow=q*q, ncol=2)\n", "G0[,1:2] = c(B, A)\n", "G = G0 %*% V[1:2,] + matrix(rep(apply(X, 2, mean), q*q), nrow=q*q, ncol=dim(X)[2], byrow=TRUE)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Evaluate class probability associated to weight vectors on this grid." ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Theta = SM(G %*% W)\n", "dim(Theta) = c(q, q, k)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display each probablity map." ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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bu7O65/9tlnH3300Te+8Y0nTpy4cuXKaDS6/fbbi1ejXbx4cfp7bWlaaDdYPWOD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\nAQBkJ3AAANn9/8xzMNexBfi5AAAAAElFTkSuQmCC", "text/plain": [ "Plot with title \"Class 10\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "par(mfrow=c(3, 4))\n", "\n", "for (i in 1:k)\n", "{\n", " image(t(Theta[,,i]), main=paste(\"Class\", i), ylim=c(1, 0), xlim=c(0, 1), axes=FALSE)\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Build a single color image of this map." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "plot_multiclasses_bis = function(X, Y, dim)\n", "{\n", " \n", " svd_decomp = svd(Xm(X))\n", " U = svd_decomp$u\n", " D = svd_decomp$d\n", " V = svd_decomp$v\n", " Z = Xm(X) %*% V\n", " classes = sort(unique(y))\n", " nb_classes = length(classes)\n", "\n", " for (i in classes)\n", " {\n", " I = (y==i)\n", " color = col[,i + 1]\n", " plot(Z[I,1], Z[I,2], col=rgb(color[1], color[2], color[3]), xlim=c(min(Z[,1]), max(Z[,1])), \n", " ylim=c(min(Z[,2]), max(Z[,2])), xlab=\"\", ylab=\"\", pch=16, axes=FALSE)\n", " par(new=TRUE)\n", " }\n", "}" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "col = c(1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, .5, .5, .5, 1, .5, .5, .5, 1)\n", "col = matrix(col, nrow=3, ncol=k)\n", "\n", "R = array(0, dim=c(q,q,3))\n", "\n", "for (i in 1:k)\n", "{\n", " for (a in 1:3)\n", " {\n", " R[,,a] = R[,,a] + adjust(Theta[,,i]) * col[a,i]\n", " }\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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LSBHkzsWTU5jChJ0PF+zByOlCADrRyO\nWJRiWU9RexKyT4pqtJwg6VOTbEWwnYQ/Ug63aZOlQLQizgLl4wpxxkXIZBI1Pk9vSIJyDUDg\nNyt3hBISEhISDQ25EEpISEhINDT4BvUcsnSVqJcbUqb+U8zpKKmHJHLc2kumapRrUO8pMD3T\nHynGZGWmiT0mDpOi/7T5Mo5hPkdky4Hbsp5381hMJKHvcoBGqVYHcv2fY2sv1A/PsyiTCBXg\ntERcqpKia3dt+wSStCfZNeGP1JuvUYpck0iw/ZFyoi/xmFV7CM7oJO0J7gTnuICsBC5goiPe\nJeZwpHWiT6tWlqwqgONhQFxYuSOUkJCQkGhoyIVQQkJCQqKhwTeoFxHsidBKIq1W6Yb0qnsf\nXZaJUqSYFB+hbot40tbekz9SEGrO4WwrDqGyH/epwGUqGJECOVssatFBlotLSyxqeRYluT7C\nH6aQArM2RpQN5OYDHSNddYN6x+muoFjJO9JBezIZUc7vinJGCdaUp3gEdw6FnDSJVhT+08rB\nrlZkc4o9PoUItehTqw5BhLKbUyqT8lHyJIC7yP69AAciTx7i7zqRpTcy6m6tQPRDcKRyRygh\nISEh0dCQC6GEhISEREODalDvSTUqsnvlBJQps228aQgkKPGAyH44ZCmpNSWZT0xtS6E9bct6\njkV8mT5lB6bnhbynjIWJHKuOmyrCxIGTglKur1Em1UC7HdwMrWOG7kaIctVIeCJMOP2IFFUn\nSz3SN7Vb1osMafPPRKwlyiViE6GcBIXS5FnNu4soPkIJi3gyHr2DdCWaU6ZK8KgCx8UhQsnz\nzclxRHEiijiE9VpAvSjJGwjlQ5Y7QgkJCQmJhoZcCCUkJCQkGhpUg3oSIntmT4o7DgO2Svmo\nmwilUXw1iU6X5ZSUkEYcuSaZU93WnmdiTxKhQsb7pNNRMkIT58BJZpUkVNlORy2yjnD7KUKD\nXgWQJvZs+3dKHRHW1FNlRlsKb0xMzwpMTwadt1sRRURCiDmkEI/lHApvCUQdkuQkEhTS1d0z\nJurQ/Igy62DiLHDlmu5rQMZaIi3rReCRemwcpvK6Qe4IJSQkJCQaGnIhlJCQkJBoaAga1NdL\nPsppziniMJlkXYvFEOE/OQk6Z+hgBUmOlBPdvrodvVhgetLW3oOJPcftqsNY3t2Kxi2XgSzG\nCYg65DUiqVrSHykH1nzczCpNsOfJfSiZU4s701rt8RF1RMqP0CJChRyTWq2sFOFJwBMjyrN2\nJ+oQ1u40kpPUf5JqT2ZzbvR5d3OOowCaZT1RB9wgLeuBneEJa5MGpa0EN5XGVO4IJSQkJCQa\nGnIhlJCQkJBoaAiqRi14Iks9QURH6ok1rUJyVuaIUqM0jShJIbrDJ1mcEYX/5MS1LxdhwrKe\nJih1jwVEFHsRXpfmUqCGs+SghYlo744rzeFI3feDHfKerENReRIlnPuzNu+j7J8Clyqi38wk\nZecoJg6KUsddRF4rnkE9O0HRfwqIPCnuQ8kEQajyxKKrJELB3YrGkVpF2FXH/o2zLy1nLA7I\nISSuAqqzuHJHKCEhISHR0JALoYSEhIREQ0PQ12iNgV+IOhZEmFVydE+29m7WjmYGzmT/aJVV\nACffWF01yjVyJ5WlXnSkPH+k7NFtkac1KNMtABmPyWZN7X7cPKp9zQj5ruOUVg9eTyoc0eru\nL1prEWcOZJGHBCYS5Hywe2CyE+bkSCKU99O1KxOyW8IenxSL8izr7ZuRI+l03zMkR+rwLMqu\nwyZCTfZYFDt6EZbTyqDcTiR9Kt6fNx6UU1fSqfWC3BFKSEhISDQ05EIoISEhIdHQ4KtGa2NE\nayNCOaOL5BAJXmAmTqimqtb3HEaUzZESAk4uk0kmOKQrmcACOWVilgg6z/WhykmUQaGOLVij\nE9cREVpTHunDIQuJabBddzpru/sjvDFgzv1OdMOpQ5s6qhyAqEnMHAmQsRTvo0SCF4pIhAgl\ni4jb3GSTnDZvSQnVRAxhh2pi98OxiOccKUFyOk6C+0LWSEXy7r01ifrbytfW47Wz2Zc7QgkJ\nCQmJhoZcCCUkJCQkGhp8X6MkOKo0IIrIVkw4uuP07Ek1WputfdVEmcSzRZUcCpG0ZGeLRcsW\n8Q5JZ3Wje8zjSN08Ks3lqcVJlmdoG+ZjoogUi7pZKUS8WnGKHB4DgKjDZl8pELjlKLQnCU+q\n0dpQpR8mdwoUtSfZjAiZxRzIWUckwTOWZ1em+Ahlh2HiSEzFisoJYCd4/DDzTrML2GOslry7\nYWjTGxrMNU7uCCUkJCQkGhpyIZSQkJCQaGhQVaP1MrEHdh0ORCzrycoi8tFaOFIiCBFHVEnQ\njLzg9SRLSdbhRF+yPHmSLkYJHpUkXQn+k3a8XuSjpLSRcm6t+ViCRo6J/VWH46b04N6W1spT\ngjePipoU16xEE+KHRfk12tQfIaClWNavJDi0Jy9CEyEW5ahPuWGY3KOTRd7s6EllKfuh5JCh\nWllEHbLEC0dK1uG1Wkus6bXTcV5byB2hhISEhERDQy6EEhISEhINDa9hmDjwRJbW1rMFki7i\naETdrWyjY55lPVlkMvK9mNiTTKZAOHuOP1Ixw3xSxWrxnxZdWZ4h6UPVFou6/a/S7PGtk2xV\nLoNyg7BN7K8eeOQOaVlPNlvdVO3zVNGh4550V6TNl3nbI4Kz4+okvSTYak8OfcqJvkSzmrcS\nAtJQT3b0wDlAggi1QPCeXD6Q+ZXhBsbNyoQSkDtCCQkJCYmGhlwIJSQkJCQaGtQwTBbqJR9d\n5b66Nst6ssgTEcqqQxAgtmW9iMxSJFiSxRARdXjRl0Q4UpJ0tSI9ceSjVlF1+aijVRmUeEwW\nDUie/3rJRzm3nJv/5Nqes63Ra1SN0mWotGFItXN103gRCpcjFl1lgqbtdJOcnOhLHNWoNzt6\nUuTpRcrpTdIpoNy9kTnSOvnYvRbTWFWHckcoISEhIdHQkAuhhISEhERDw6uvURFcPfkoSVeS\nPbOLeIGZRByTYtqfIGJi77C1dwedp5GTpFi0evQlitPRskIVUWztiXj09liWWLQ8Z4pY1B28\nnnJaiHhMnItHCTiFRDhSossa71wv3Dtyj1XbmI6pI2f/HPkom5B2VCZPP8WO3t3ck69RSmQl\nO7I8u5UnkpOoTLGjB3cdmo6UnUMSqsQV5RndE4m6Y7X3srv96h7vROtau1ujOlS5I5SQkJCQ\naGjIhVBCQkJCoqEhaFB/DeSjIh5KPVnWk61E+E9mzjJPQhKY3CYWqcixrBcRlFaPvoQoglI3\n7emIx2QRHG6ylCYW5bDBhFiUiAPkuELsi4WIq0YqG9kJG+zA9DzYtycxDYIIpTSzXacy7zRM\nYT4Znwl4E2b3j5GrgCJ9ZGspPUVfokVEclcm6VNaHSJHiDWtXofCWrOJUMppcWdQbzl3ravI\n9F11NnGN0pXXEnJHKCEhISHR0JALoYSEhIREQ0MwDFNt8CQfFanDGUIkhxT+eeJIK9R9lAqE\nTpIrKCWZVcLpKOGYlFPEEZTS7OjZelS201GHWJQ4HEpkdA6hWgZxg2B7hiIRmiy+kX2jermX\nHVU8EezMfkgumN3ETZlWJ1EdJ9uhGiXubfvcMuWjtom9kJLTnRChT0mOlENyUjq0SXiyiJ0g\nOVI2eBypEC/vYawbGNeZRr1alvVyRyghISEh0dDwGn2iNtVMvfZ/ZPOadoS8l+6qW0Pmy6FY\nSFuRPSLb+xplt0d2SBoUEuaD5Rw7VC8xH47+xVHHbWJIOxvEtsXekpAXgvS1xgoDQoGQ0IRT\niaOa4d2fnjyrCe8sObsZykaQPTu2HaFjI7iSY5ZzbN2Kl6ATnPC5ZDxeTz7bRGwNgdhi2ncj\nuzl5gkmDworCVYAjw7lxcXMobeSOUEJCQkKioSEXQgkJCQmJhgafGvW0662tsvW3p421iEEh\nWdlTgsWR8r7Nl/uw9CYkI0qYGNqezNze10Ri9tKIUBEdDSGfsUPskpykSJxhDiPqJppI4YPj\nmomE6iUvjRu0ApJPtIpEaE8yp7pqRgTLs0Cc0Byk/oXD7VM0MuDOIRjR1QadIExYRQjV1Xpf\nI46QG4aCfauskq/kqGZuaK6wKojfkUPnVff14qpD7gglJCQkJBoaciGUkJCQkGho8APzcuBN\nhFdTKxGICFPZXBaFw6zKkXK4U6bQkedrjZIgbftItpOp/+Twn0iAI3X0bNFT7sAU2I5rwdLW\nUiwLaapaEdQrVK8I2EQoT1BKNq+DalTkN0PR89rtSbEoqszwaCNI0p5s92kOjajIWBytKdEh\nQYCSnygAg64X84WMrpeQogb8YVXVyiVuWh7I5uwiylhrFsvW0uXTtWoikt3B9eE46zyqV/MJ\nCQkJibUMnExNpTNJ6+8lgGAg2tTUbn2Pl5BwQd4ZEhISNw8WktPOVXAZ+UI6tTh9XeYjcUNA\nMDDvKuWjIj0Du47IWCJFHDKKfCEgJ68AVRXJI0uZqlGaQb2bYuXE7KXVqa4RxUSEClo0YOsA\nSfqUeVz2NIR8rYE7B3EIQ9LEng3s5Ubl3ZVuXpFyz1Ac9XnQkboEnzTfDtWlobQiYuJsLSWX\nI7WUpW7ekktguus4TOxJRShbGmpPjKjDmzMYhr60tAA0FAqZUqmgKpqrI96JonZUiWtCB64t\ngSUT1mcE8tyueUhqVEKi/pgLL11onZiJpHTV8Otab6pl+1RvqOQX78FQzIVIxkBmYika0OXv\nVAiFQpbz+C0Wc6GgxiqVaGTIH5iERJ1xsnP4WPcV63mc1YrJUOZU5+htI5u2T/ZUba4rxusb\nLpzuHtNVAwAQRhtmOu46sy2aDV3NWd8MME2DU4oxr1SikbH6hbDuotNVmSdzdaQc5krEoB5V\nq0AkKPEo2N5HbQlrdTekmCIEJbWmZKhe0o6+3A/FDambmHVU5jCi7Ji9FL2ZCIdCanHZHClx\nYWs1ahbxNbqSYyi4oJYChqaYaCaSutQydTkxRfZoIvxq//lQ0T8w38EZ2AT8xO7DE3Gb38MI\nX+qYmm5KPfrLO8KFADjvSMr5IzlSjvm8m/+s0aDeS3MRitXusHxUPF4XLGBVVYENpPi4NL2I\nbnQVNeqJ2gT5VWvWiYMtfzVAxHX0OB+hwVbXfAVyRygh4RkmwslgeiqaHIvNpgJZjDDCyGeq\nJVXnN3yz9/LyQogB57WSglGoWMGXnu0ec66CFtLB/Ktbzr/9+C5nZkk1phPJvL8US4fbkk0K\nz7SjIRAIhBFCmPH6E/CHr/F8JG4UyIVQQsIbRppnjndcyfuKzkyMcNVVEAAWg9lUMHuuY/xi\n22TeVwKAWD60c6Jv51jfspe1i+2U3eQyLnVNWgshRvjNTRcPb7xc8q0MGs2G7j62Y3Cou+bj\nugmgKGpTU1sqNUMWhULNqqqZ5rU0S5W4YeA1MK+nouo5jjfYeimjPFnWWxkcBaCL66sewpcm\nvGS2ErO1d/OWDvqUHWvJS6hebpGI0pUML0wwoohohUXFuoz5CAhT2bfVkj9zpXlsPpjSFT2k\nBzsyLRsXejTTV1nXfasMxacPdZ8npu0BT285vhjM2tMI5l7ZcG4qlrr/9J7lP1kNiz49p+nB\nkoYA/WLnqRMDQ87SdDj35O2H3mnu3zi8zjlzh3q3zhwpLQwTs4hjWU/zNUqvXCoVFuZnC4Uc\nxljT/NFoIhAIuVrFoq0Yw9LSnO0IAqFQqDkaaYEK3IDSxhpQf8FpLcLsta8jlTtCiUbEVHj2\nZNt5y9V4Rstdjo9NReYOju8K6jZXmdUKRbUUKgVCugYAhmIe67i8yqGdq6CFy21TF9snN850\naSbvK5fPVABgLrbkWgUtvLj/5IbRbsW8CTnSxcWFyYlha3nL5WBxcT4eb29qanfVjEYS4VBz\nsZjVDV1Bit8fXrXyQOImh1wIJRoOBbV4uu0iRu7X06yWP9F+4cDEDgAYj86eax3OaPnlokQ+\numt6g64YIvwnBwpGJjHuMi50Tmyc6epYjM9H0tQKbYtNPkMFgCtdTPo0FyxMti6sm2lhVbhB\nUSjkJieGyI9/yeSMqvojkWZXvqIowWDULG82JSMqwcf1WQjFGNF6vcR5UAByE64wTCxZKdkE\naNwdkwjFZfkowkQRxXzeE8nJ5FEdMlS3VJWM0ETGkHL0YzGilhqW4Lk4lkY2B2IAACAASURB\nVPUUzwZeVKMcOG60qcisgehK+plwMu8rTkXmTrVV7PwWgulf9J3YkFzVFzjOKggAqVAGAHaP\nrD/fOW4olGO85dLgciIdzHNGyYTygBGFEbUySOKRKBKxmq+NPuX6EWXWmZ+fZklgFhfnlhdC\nmsSU2TMQla8z7K8z7BnVg+dcw55Br6d8VLpYk2g4pDUKOWlhLpQ600ohHjHCw83MrZgIOtNx\nTqliKgAQz0buO7VHMyoIUoTRbRc2b5xYWYb9XPt6f+kmpHnyeeYlK5XyrDVSQkIQN+FvRkJi\nNUgG0yaibzp1ZVUW2T5Dbc6HU7RvhACQDua/d+svu5OJSCGIHIYQCGDDdOeeKwNWTvdcy5GN\nl6idKKbSOZdYzSTXJjCX28TYRIj3bVUcJjYKhSVdL2BsIKT6fEG/FqlLzxJrGTVHqK+zfFSs\nZ7IOCRGKlZ1T3YFkddUoJWGHNCKYQyFNppuu5ARmwhQi1IqaVD2uvSPoUvUITTS2kxm8njwc\nx99kTjlhXyuCI8U1cqRRnfdoY62Cq0eoFOhJtr4ycJZaqitGMpxJhjOufAxwqXMSAN755v7l\nnP7pjo5kfDrudi0NALvODwQKfgw8RhSIHE8uRjliUQ4VSeNIicqUia2kNC1QKlXYq1hQFBUh\nteLoBPaH1CqGUcxkZ62fAMZmsVgqlbLBYIuiqGIdU3EdnYVeX+EmYSYgQABfF0hqVKLxwP4R\nhvRAwPDgEdQTelNtW6d7N8+sq6Htpc7JicT8chph9ODrt3Yk3UTrlqHe249sX+0s1ySiTUxW\nORxuqtMgOJubw8TbFcZGoUB555C4mSCpUYmGw1yIHqAAAAxkxvMxkU6Qx3frnlRrT6oVAO68\nvL1/of1i28RCOM2iSakY7pjpXliRg0bywQ/+4s6htumx9rm8vxjNhDaMdXXMx+FmNJwAgKam\nlvRiMptdcuX7fP7mZp7LOnGUSnmWq1LTLJlmSVGkw+6bFtd0IeT+Rj3JR1fJmnKo2qqJqs5I\nqUUEt0mhRpmCUofRPZOutGWfFNbUHbOJFrOeZF9JC33mUTh0pCQj6haUOpSlZVC0lBaTY1F8\nhGoUEaeOF/vJvuhZH9toXS0lCs2xYmTJ76YoGfMTwubZngMjmwHQ8jR6k+398x3TseRPdr4u\n3knWX1imLlduRIwGJroGJroAAHQyQlM5g0J7kkXVdZur1YiCVaf6WBYcGai7Z8P83FQqObu8\nXCGEwpHmRKLL+srAcUNK8SNKZBhmyZ3lgGnoClpzC+FqKFcrdBfNyepV53KvJkday+TljlCi\n4aBQPNrYUE2lP9V1sv1ivYbbObV+/+gmZ85iMHuia2gkQfEExkHASxSnmw8IKa1t3fF4R6lU\nAABF8S1b75jGtbERXGMftSTqCrkQSjQcmoqxrEbfFMaKEQUrE9HZqp3wjQIttGRjuycHkqH0\nXHgJABKZqK4aT28+shxiyRN6ZltdOSbCox0zc82LYKK2ZFPPVLtys7tQQQj5/UEAMOq9/ikK\n72GIuKUSNzoEr+6q5KO0YO7XQD5qgRyL01ycGhUxnyfq2BboHNEpGZiJKTF1GMKzRZ4CMesR\nW31KC8NEmM9TdKSKuw5pYm+Boz61IWBZL0ai9y31TEWmqXfVQKoHAC0G6L5dLDQVIvF8lG9W\nqGJl41z3ltneZzYenY7aagvBFdSF7oWW/pmVj2HLJOdUYuGZ/YcXI/ZXxqZ05P6X9nfMJaw6\nwKc0wcqpj69RGtdKJjjTcDenMJrs5hRUJ0TtHJ8viJBCimUAQFF8quKntrqaYD8AeY/Gao/N\nurGe9emIxpFeB5GtfM2RaDg0FWNb5zefTVxweVkbSPX0LnUBAOl9zYnWXPNbxrb7DHUhtLTk\nd6tdts+sH1joAEBNhTDG5k+2vZbxVziCEVkFEUbOOfTOtt93bK+zQiqSefyOV4u+Cn9vi9HM\nT+575dEn7mlKy3hDnoGQEgq1ZLNzrucvQijgd7twk7jJIBdCiUZET7o7kW8ejY0v+tMYsA+r\nkWIopAeTwcV4vilSCi0yxDLRYuieoX0AoJjovkv7T7cPjTRP53wFhFFrrmnbTF/vYrvl8/pY\n1xXXKsgHwqhjMb5veDCRiY0kptPBvF/39cy2kZYSb24571oFl1HUSod3nrvn1X3igy6jCbQd\nZrQZtBSUTsHSHNCN9m5u+HzBSKSjUEgZegEDRkhR1YBfi9muBCVuUlzFhbDWjxX1ko+KtKrB\nsl6EERWJEyRAjYok2Jb1NEP46jHrueGcOBGaOG5Ry8dlTxUIkKeFCezJ+yhbnRYtRfqWeoZj\noxPRaQMZ88EV9jJeaOrMtLIWwsGFHutO0Extz9SmfZObdMVQsaIa1nxWBr2SmKx6OE7ceXHH\n9tH+5fSO0YGVvsqK0OVY873Z0AOTXZ+7Mhgt+S8m5r+168TfHjhUcri8GemewbQIvTQGcmWu\njxrrHjLafeXzqQN+Up3+ljFuYkxjO+n9OBMi8lHKfDh+FdhEKI9itSsRzUhgAABV0ULBVnDS\nsxVpL2SdkDLSEw3o6dOSaGfXxNS++jyvgo7Uw8mRO0KJRoSJzNMt58ejlIUqGVgsKsXWXHwu\n5Daj7si2DKQo5vA+WuykjD+f9rIdBIBEpooJ48G51o9fHvCV17mudPSukf6Pndj9rl//xpK/\nsJyZDxY8DforxXXvNjqdOT5A71U7VUD/oI966upmAifSvcTNB7nll2hEnGk5R10Fl5HV8u25\nxLb5DeFScDknXAq2Z+NpLfujLS/8YOvzTw+8fqFllGaAZeN865inKSUysY5F3reotkLg45fX\n+4jd3p0jfV986h3Wn6F8wMOg2P+uEt0g/UGlvR156EpC4saFr27in+vjfdQT/8phRNk6TwoF\nympSG0fKacX0PuqQYnJIThHW1G1rj8giiqtSEaejFiNKCmVFEiLwErMeAQAU1MJEeHwhuJAM\npPhdj0Wn98xs3TTfbyCjpOivrTs+E17ZIGKEU8HMka7zJzou7ZwZ3DrbV25Ucc/MhxbFjyRQ\n0t5+Zi/Cik3FE95u75pp8zEsID9+dO9XbznyoZM7dsy0h3LBpZz2Unh+Xi0C7aw7KcQdRoxl\ncaEgtBvFJnC+XLkWZWndEta0ODwe+94xMS4WM7peAABV9fv94etLA167Xlbbnyfpfn1miuz+\nOCb/dYakRiUaBbOh2VMtp1iRCF1Y8mde6nkzYPh3zA7OB1OLAconQ10xjnaez/ny+yY3k6Um\nLaaghc6lxGIwm9MK0UKwb75j3/DGcCHIn1JflqkFDenaL7/8KcWxWXxwoeNrrcNvRKo4yWwy\neU+A5rXnS6UGlEq5xcVJp/u0bFYJh9s0LXQdZyWxpiAXQomGQM6XO9ly0mtkiYJaPNx5hu+J\n5lzryECyO56PuvKjhfA0Yx1CGD1wZr9m+ABAMRAAIKM6t8GvoVRSpn6sfGp2/YS/MApMf3IA\nsIQo0lO7FHilVPQFQu9JdG0LRVVAw/nsk9NTb6SYnl2vAQyjmEqNu772YWxmMjOxWJeqNrSz\nHgkLXhdCIqxGHedSbSyxIpEOyb9F5KOump58jZKW9Va3TMNzh7l6dct6mrYTE0XVxaIYMzlS\nhxl+eWLYTU5ygtcLMaIcp6M8stp01yUwGh2tOb5S1YYjTdPxfMx1Fw0kuy61jFPrY4S/d8sL\n3Yute8YG21a+CzI5eeuYJoP5XSkPBm0qoAdSbV9tHlnph0Y8nlLSmPErxhgf1xdFFKFWzgPx\njj9Yt1FTVq7Ltkjsna2d/zI1/qeXL3A9i7K5VncVXg6VXs9mFxiaF5zPpyKRdloRB9UfSqvl\n8WqSka5K+Vl+FiGL9K6hE+HBygmBQeyjW+W5rT6oFMtI3BgwkTETHLrU9MbZ+CuXmg7PBcc8\n/SoW/R6+2HlFlqYO7Vpq2TjPjLhU8JWutEz+eNfLV1pFTSxebpv3+hgYLFYJKjuLik/76P7k\nnjXnJ3AVAWpM8W0MRLq0IAAMBMKf69lkrYIW3t+57pHObuEp1xnFInNDrOveNL0SNzEkNSpx\nA6CoZi7FXi2o9oe6hcDkTHBoa+qAz7S/Y+mKPhMaX9JSJtKDRrg919lcWAlWd/XC7QKASjOf\nSAbTU5EqrKCJ8Iubj3cttoSM6vrM0VD2h32jHxzpFZ9YgEvqLuMftTEw4H7c5nxtftaY+0px\nmNNq0B/5VGvfrkAMIQQAU6VCUi+piM4Q/VpP/7dHro8lBtVlWtUiiUaDcyEUsHkU6vMGko+K\nTAwxanohQq+BiT1FI8qmT3lW8xzRKcm1ijgdZR8XIurQWmHAl2NvOFfBZWS01KXY8S2pW5d7\nTmvJs/HDJcXexIxHhtdl+jYntwCgoB5Ka1U8iNaMtmwzAHLeKiVVf27wcFarbtJXUvVLbRM7\nRze48h0300q3mWDh07/yna9Mdv3bl+6+Y7RXNasvcrNqiRuYCQOADvhryugTMLMHx+K6bwH0\n43hxtJAnKtuJbYHoH7dt8zv8rXRqgU6NuZa3+wNf3LXnj06fXtRLVPEqExTGz6LvKBwr2VpR\nVJZ77uWg87WCqTwX4v541uP1EmEiz53wiNbr4P+THNyeRI2zYB6FpEYl1jqW/NN5lU5sJgPT\neTUDALpSOhM/5FwFlzEeGRmJDgNAZ67rKk0vUgz1Lbo7v9gyLrIKLiMZFlqhf3br63NNiz/e\ncu6P7nneFHseHQqLhlafgsLP0Oy38cRTeGYCqsz8t+Mb/B69jt3d0vqnu3crjC3j1YPfzySH\nfT6pGpVYgaRGJdY6sj4ewZjWkmE9PB0a0RV6YNWR2FBvur8j23kmIWo7QUVQ95sIF9WKUSKl\n4N3D+8jN2Uw1UtQrJlrmpuMLAKBi5e8ee1ijkbEuXAhkXojOWcLPVlPbX4y3GFrONM6qmTO+\njPVe3Ay+O8xEH4R0ZF6G7CuQ5OhF12uh9TUZHuxuav4CPPKtxdPHmk7U0Lw2hMKJQiFtmu7D\nQUgNBt0eXCUaFtwQXLyG13KnfNXlo9wi1xAiFvciJCfJAXLMw0UCM5ERmiwG0k2EchShYjGb\nSK5VYGKIkI8KmdhXkYqZCAOgJY259Skpxdc7XzaRuUo5X9AI3Dt0cCY8Nx6dyWo5v6G1ZxP9\nqW6/bh1XBTUq3nM8GyM5KNtDxXLQpeaVlfW2sXUDhA9uF4rIfCEy94P4VKls/v5wuvN96U6n\n7fwFNfOXvqEFVLrLSHzS6PUvXyYFAOAjsO4v1CvHjEUoX6KAHoil4gvh+aKv2KlWsXfk4B1N\nfe945ndeix/6d1u/MAPzK8fHFpRSNKJOkhRj0zQAI8TeaCqK2hzvSS9NlUq2NMbnC4RCrSvU\nqD3WtTPftiD2/BKo5UH5KfA4tWXhItMT6XmVld2trE8w9fKCJ3eEEmsdfpMXVChohAGAv9XL\n+dzBkmpAPN8EAJ2Z1s5MKwBYISaoCBdFVwvN8G2YrS6qtAL58lfBw+HUjxNTE/58UbefEPdn\n2z6QdpO3m4zI/2lu+Cdt/F+V+l1HEgPf53wb3vHUd6+kF+/x3/OHs/921+RuBSsmMk+uO/Hy\nvf8IbWLHRqJ3FB74+VuWmv6/8X//sXWfMzne0rkoFrLJhalCIYMxRggFApFYU7uq0j9SqqrW\n1LTOMIq6XsQYq6pfVf1SKSPhhFwIJdY6movd4+HjJm2p85vBWKkFAALG1f3egwBtSHqQa/Yu\ndrCMCCu7hXvO7QuWqpt1R/MrB5jV6AzwMma14nCgwmCg2dQeJT5hLqMfh35d76Gu50FV/UTP\nlh//CH0N/t5XfkooWNk9tmfHDwfNz/2pUtvHvrY5uPslANiK0Z+fu/f3Lj9ren+lz2UXZ2aG\nrb0AxjifTxcKmUSi1x9gfhFcXv9M89rt9iRuICioLHcj/60annoiK3OaixQx/6HyP+6gxL/l\nRgL9Ayjlf5ycym6Rs47IP5X4t1KEy/9olck67iJA6vI/DCv/OP1YlTnzcdTxdID2P58ZXpfd\nQ7vSaMPiXoR9AEproW6Waq25FgBoz0Y+emLX77x28CMnd3VmYvumtjcXm4RvANSb6uxZrGKs\njTB62/l9ffOd/K4wIAyob7rLZ6gA8FrPGCe078VgFgNggOVWb0+3/8nM9oDNe7uxzmTuXO/p\nH/gSfMlHvCurmah+dDf/0KoD4bdtVT+7ZdMyEcn6Z6WsHNM05+bGSEYMY5xKTZgmxhisf2Rz\nErUV1XzYHh6J1hOC0qZ+D2mxOaxZ2I9Pj+1cByZ3hBI3AFrzg34jMB45mVeXlnMipUR/esfy\ndhAA4oWO1nz3XHBilQM1FWMHJ/d/6ETHrx7d6DdW1o+iav5w+9i3dg/bDrEB531FBCigMzdz\ndw/tPdp1/nzbiFH+tqqaqqEYAKBgpSfZfuvw1njO7ZiNhXAheNuZHS/vPD4ZTX9975FPHrmF\nrHO2bfZwdKGnEFIATUFxf6751xaYFv3L4DxA2oNNcaCv5f7HHx7fdHyd6NyZ+LWB/r+/PDyl\neyCu87kl06B/fzUMvVjMBtibQgkJFuRCKHFjoLnY3VzsLil5A+X8ZtBnBtTKzzybUreE9eh4\n5LLB9Z/JQVMxdmBq36cObXjkZI8z328oHz7RhzD+k7tfW/IvzYWSi4FMSdEBIFwKbprv2zo3\ngIjoSKqpHhjdvndi82w4ZSAjVojEc1EDjIKvFCoGfHYUX1HsujwYLPpf2Hv4t9/9+Lql2IMX\nNzlLLyYWnl8/9OdH9oUMFeyNUO3ILCr0r5GJBfjQ95yroIlxEZtBh1mebpqqUp099SnK/pb4\nExkPC2GpxDPtMIwigFwIJTyDuhDWpufxhFVJhuonHyWbW6jBst5TQsTEnu3JkyJDJUMjETJU\nwkaeJwQViGtPiwZFjmXJ2NzB6zF5yKSJvQ0MABoOBczA8pD2ycTK8h996S29mU0Z3xIGPe1P\nXo6dITrhIa8WNL3w/lP0XdQHTvf8/oPDY7EKi8aslj/Wef5iy2hXui2ej/Wnuir3iEgztO6l\nNlRW1miGphmukA7I8V/nQbnvSQxo41jfmf6hidbZh379m+89t+UDZ7b1p5oXgrlnBi9/6OSO\nf3XoVmenaHWU1slzpR4y11+Cj/8DJCqMQxSEAkj9ztyEYmIfUoYLufOLS3+5ncJmk2jWNJpS\nmJUBfBaMfcju58Pa+1RYp6duuZvlXxKuU7cOBwAiHXoatD5rASK68aR0lTtCiZsKCCvRUrOC\ncViPjkQv6F52h0W12L9gqMQKtAzNVN9xcfBr+46QRRktdzExAgBHO8/eNr5rw1w3ALTk/PcM\ndWxIRRQTRmO5l3vmA4YSLqgLwdJ4lBcRgo+WxeaJ1lkM+LEtZx/bcnY58zeP7Lvv8mDNfVLx\n7NjZd1p/+AxYNwaxNAxcca2Cy0AAt0WbP3n68PKfuwMxwVHypjf1pt/Pk+P62N5tJCQ4kAuh\nxBoBLikZBLpmRhB4pg0tmMhIaykMesAIbUruPps44okh7EzziLXOTJXPYrpivNJzLJIPvu/c\nps+8udFf5j9vmUo8fMHeaE5Gct/cPnKitUpwYCq2Da8/NXAJV+plPnpiVw1d8TEauvgmvLkf\n9sMth+GBpyFCicjoxIZAuMXnn9eLANCiiYY3+uzWTW9Ozw0Ls6PBYFTTAlSCVNOCMsSgRG1Y\n/UJYdx6V7LA2RtT9Xi/GE5GDVnTg8KVZG//JdkyKSE6MY1lvTaO6ZT3NVL+6+Tw3ZhPJvjKJ\nWQedSxjUo+WvWcZM8NiC/4yBCgCgYF+8ONiV261i18OUYyJsAgAGPBI9Px6+ZH0jDOvRDYvb\nhmLnxB3KzIV5e7W5UPXnNUYYq8l//cZGle3wuisT+v03Nv+P/ReOtqdY1KhFajluRAQAiaXm\nO4/t++WeI861sKqJfQ2Yz2X/r7b/7bEPfirQQw9PQaLJ55srFQHgna2i4Y3aA4E/uXXvx158\nBTuiJZEmFXYGUlo7BmYmLxlGhRmJqmrNcTeVW6uVOlG02g8vNrHoYRYullN0dDc3Wr2ml+cq\nz0nq9QHzYtkFAlOVvkYlricwmGPhn80Gji6vggBgIn0+cO5i7OcGKnrq6lLTkZHIOadSJutL\nX46d8eRW7ekNl1g7SBPhZzZcFunkN4/s5KyCy1AAffzUekXw9WxlAualdaO/2HN4vG16cKx3\n3Ux7JBvSdB8A+LmB5mtAwTD8qvovn3m3+CoIAL/R2bcpFEEIHWhOiLfanWje0dwkXl/TAl09\nW5qaO/yBsM/n9/vDsaaO9o6NqqpVbywhQYOkRiWuJxb957K+MTK/oKamgye6c/sF+1nS5meC\nI2Q+ZpvcUXGude4rtxz+1GHKuF/af+gS7fMYiTvEIiW15P2DqcjFaBXKcRnpUPap/a/MV0p1\nBkd6U7Gl//rCvRsW6rwjNE7v/N4jQZVrvE/i/kTbPfGWvxi7EiCiEvKxuSl6MumBKFYUNdbU\nEWvqAACzHFxCOouRqBnXZiGsu9rTQ4celXNV5aN0yrRawpPTUU6C2Y+DgfTEkZabl0WedtD5\nco71fEEirCkhDbUFrog4CowXtUvAQNI/3J074Mjg3SHzAdHwtlXxb97zOAL0ycP7LAmiifCX\nb3nzdx96QrCHlhzPJ5wTd4y33mG2KhhNhvKvdSZT/hLlBsPIRPip/a/Oxxbj+eAHzmzbOtem\nK+ZrPWNPbDr/6Tdv/a3DFJvC2oERpJrDu7wJbi34kPLZnoG8aQS9BDlCLJN24hdAuiHl6Iwp\nHYrPSRC8LzkeBJbWz4Rb1aLNRT4bCRSvApZ/V8xjHq+BfFSgXwE6V+4IJa4nSogZOF5XcibS\nFYHQsgBQVGvXYbpQUPVPve9fvnjnSw9e3NS9FB2PLT0/MHaiY0KQYr3/8mA8L6pdvG/Y/pb2\n6KV139o09nzXHFltuGNiPpb6yMldf/fYw00Fu/NzrXMq1+WpN5gIXr0dtp+CuGjwJip8SBnP\nZ/tDom8DAHApLbQtlpC4SpALocT1BGJ7/wJASGwVBADSnn2VONM2e6bN/jw2mOqfCs9mNFss\n4zNVE2Ey8P2f/vTB2gz4NFP5jXN9H7nQMxbJqybqyPlNhIeiuWc75l7ddvy+yxu++c+PuD49\nbplrrfr6rCP8hj/VZwR79Gp+wBUM7dMQr0XL6sKSoad1PeoTerxcWFw6tlCHQSUkasaNtRCu\nkmL19HhiyUc5VMjVM7EXiNBECXtEhkYibeRF2E53K4xVANDRdFZ7tqhcNFFBxbGQsS2q36XY\nqg1OhCZbPho0OkoKfVMYMhIINABrH0bnuqeDlybDZ/NE/Pr6YtGffseVe+ZC80v+tIKVlnw8\nkYvlfPlDXScmotNWtd3TfXunOlczkN9UNizZe6ntqdj2VCym5QaXIgwBDvOuntcKfx0f68r7\nf2NpXUBQFte9Wh91y9BN/LtnTvzxpm3dweAF2HQIbp2ELgDogslb4dAmuGDVXCyW/vDQsWVf\n2BiDitBDfd1v62xvCwYWCsUXxqd/dGWsaBi1kWUY42JhqVTKYWwqik/zR1gRKhjgfCgRaUVI\nLr304qXj6k2sN0WaFmxVz1UxHel1MLGn1GBP9cZaCCXWCgrK2ZT/GxhWxBQ6Kiz5fpFVj3fk\nf8OHm8X7SRR3L2kXqfduW35H1ebD0aOTofPWn28Z63n/2W2d6UgqWPjpxgs/27giAVWwSg1e\nIY6cL48AteVaO7KtBjLnQguX4yOa4TswuRtjcyGUwoDjuaZVroIs/Map7TXseCeUEgb8yaUe\nVfwV0O9NHcPC5kj00c7uOdT5LLznPGy28pMQPwPbDsKr74Ins7r+1MTU/zx/eWQxvVwaD/j/\n9q4D+1ps4c97+9d9atvgJ599dWzJ84uOYRRTyTGnlUU+n9L8kUik3bNyQOJmh1wIJTzDRNlF\n7dvWKmjBQKl5/2MdhV8X7ypodHTm3zod/AWuDE3Xnt8ZL1JcpeR8ySVtrKhkfGbAbwatVdBv\nqF/74Qc+dsKOivAHL9/xwvqhRz/87dlwFgPektqV8aUxYAR4LDIsPsNy/yvS/JHY+NGO0wV1\nxdgDYTSY7LtlartqqshEGX+Nbk6roqr6taTBSB/kgxBNQ88YqAZc0XKfSHpZBQHArI89VUbt\nGm//398AurO6V+FgL4z+u5e+dGkp7cz/r7ftda6Cy9gab/qrtx744BMvcEUZBDBOJcddtoYA\nUCpmckgNhVs9dCXRAOAvhHXfz171DhGlCFx1xEDa4+OKfHubTTZZnXxUyLLeS2h4IR2ph5yC\ncsJEdNPygjpUQgs+3IoIX6MsEWxzcWe41JkMnM6rMwA4aMTjxS1Rvc2WyK38zxiJvD4XuEgd\n9y+efMi5Ci7jbUPrv/vdD9/3ia9jZDYVW3ozgwBQVLI1LIRtuTZAaCw68VpXhYs1jPDFxHDe\nV7x75AACmAkXpyOFjsw1dfSVU42X71F/eSeUo2VAJAP3/hy/54ioVbuNAM+ltSCSEP8qfDIH\nPCcvr8NtBeNvli/tsuuAzU3Re7roE76lLXGws/WVyUqLRvavGQMUCmnDoNuhFgpLwVCC9kMW\nsXYXeavgeH6wqnBs9qt7FBF7jCJq/x6DzougLHytd9T4WuGBI7UgDeolPENXeLYKJWWaU0pF\nwEx05u5cn37/YPrhdbm3hg0KwTgWPsxaBbvTsU8folsc3ntl4J4r6wHsB0DACGqmqAMwCxPR\nycnI9PG2U9TSsdjkVGTlMf3tXRSzyKuK//kJ/cW32qsgAGQi8JP3ozdFjTDrjGfh7fxVEAAm\noGsil3fm7E3wTCFvaWupOm6zX2sLBZdl/XqJoyLGhl6H9V7iZoKkRiVuAOgoPxs8xyq9e7if\n48nlbUPrnx8YCusrbkIRoN7M+sux86z6TrTmwg+d39Sz1JTRis9uuJLz5Vk1x2NT3UttAPBy\n73ws7/vV471+B804Hs2vS1cTbdaEZ9+iL/XR1/WfPgi7ToDfm3+eqoN9+wAAIABJREFUOuAs\nbK1aR8fIqNw4hFTeS3nYx1QXKwj91s5Nv7Vr84amKADM5vLfOnPpC88+nWMvhS4eXkJi7SyE\nq1JU0RjRVcpHOQIq1kCWbezVk49Wt6wXk4+yOVIiVBOZo5pdHKsHH+4oB5evOjHC+yiDR834\nZji+s5u5dnvxfLAt1+Nz7AI3LG2dDk5mtCVOKwD4vVdu/+Nn7g+XbMdd399++lPv+5dkkLIc\n5n0F6wr+bHD21Z7kgfF4dzpQUM1zrZnLsex/e3HPXDtgBO0zVf1Xi+JkJP3cPUGWn7aiH64M\nwBbm+8NVQRH8BajODKfSQ66csSzzJQMARtJ0Kh4h9Fdvf8v7N/ZbOW2h4G/fsuNtPR1v/fKX\nFgv0nZ+i0JyxrfJbihCq6zNFLOtpdK7w85On8qyP5xNuRKQ1YWJPYu0shBI3DILm3jQ8joHy\n5PKbfZrp/dNUNRgKb18z1sRb0qajhc2LFbHxEEa6UkUe+ZlDB/77T9/lynzk9PZ4PvjAx/+e\nXJX9RsW2bDGgP7NhVjEBAFSfr31d35+9xX4P2XoW3v04NJXNRkb6YLQXTAVa52DTBfBVE9w8\nO3B5UYHYYvNEsKSEeeEylkSjIdUNGpRUMAyeeSgAwLtCZ3o3DXzt4pC1L3x5dj5ZKMYDlN1t\nVtefHqWz8e/b0OtcBS3s6Wj7j/fc87mnniKLFEVT1YD0xybhhFwIJTxDwdHm0keT2j84jPwA\nAFQcbSl84GqMqJk8NyXPr7+SDObjeQr3aCBzqK1dM/WikhuOnp8NThWVgg/7Cipv/6GZ6h8/\nfR+16L7LGx46v+nxzW5mtSNDFyIqirpu0+ZAMORcOc9uhcku+PSXoOiHf34UxhxREyIZuOWZ\n/M4zqCvL3FfdPdyvmSoALDbBf+ccBgBt73p1gQCvh6FLwAuOuBEu3u87/I5tm29NxH/7jaPL\n91BO1z9/+OSfHdynEEqG//fNU3N5+t7uVzavZ43y8X37aAshCofbqh6FRKNBRZ//T9d7DlWB\nyv/cOWRBteYC1SsbIgAECNnNsavCSi2EnE1oI1YkHHUwMRAu94yXe0Z2HVw5GWo/ZAKWuUpK\nkT0ElPlMTqtyDsI+3BUwd2BIG8oigK7i5rCxv6X0UR80A1IAKY7mRAJBuc5Kz0r5uBBxXMsJ\nDUfmAmcwwxawpJrT0cz7z24ji76zd/a5TYs5LX2o7YX5wExJKZrI1JUqe66DY72/89pBVuls\nOPvkpgvOnEQ+fsvkLgWv3GkKRiuHg1GiozOWoIRiKAShEITn7oWZjspj8cPQFvWJ0HDbgtKb\npX9WtD6I+nR48W7eHf2uJyEg/I0wiUtBVN1BaCEAFzbDxY0w3wrBPASJFSoByaOwjzqtZki9\nDV58CJ5QwASA9dHIZL5wYn7Frcy55NKx+eS2eFNrcOUl4Mpi+v957dj3L4+Y5Y0jrkx87tYd\n1E0kAEQ07UvHLqQLGYsDVFV/JNrhW4lZSGXbrJ+S/Qf17CLH/cqCo467J96DS+yhJjwNZnci\nh+ARxFjlDC/HJNZzvVvJHaFEjdBwb6L08WVjQgVbTGOdDekMVJoPnF3yjatY4wRm+uq+wyXF\n+OLP3tmVXhHFZPzmN2+Z+dbeKQz4VPPrRcXD5qg9w9uAtmcr2Mi2bMudowdYbtUicaZ7geO7\noEh7hiOEutev2/Ek5TuWCdj5RVA1YPMFOLeF3n/fCMSqfAatQBxpGTAiXFbz9dvg6fvBcneK\nMOw7Ag89Ac4wFf0w/Ah8/zF4uAj24UUh8wH4wUZw637f19P17Ysr1iwIoRcmZ1+Y/EV30N8e\nDM4XipdTVQ6gxA1wr/hjLS1BXS+apq4oPkXVsHmdpf0SaxNyIZRYuyioySuRJ4tKunpVgG/s\nOfadnSdvG+/ZN7Nbg/aTndm8z1QxLGkLac2bF+mZCC8Ab0Rv2TuzM+vLaYbWnm3tSvOoNh87\nVjt1FVyG2RIMEAurrmCfiQBA98Hp7TC+DkwFuibh8gCUiK6Cefi1b3LmRUcEVBPgkpmLgNqt\nuDs9dCs8/u6KHIzg8C2QD8KHv1ORvwtObISLJ2HnNHQoYHbDxA44pREeGABgfTQS6Q7t+szG\ndfe0BxP+Yro08dLcsb8+N3pOKOLVibnU5jg9luHF5FJO1wGQzxcwsQxVKMHDjbQQ8nmIcqK2\nNz5334jZDzmQW+7lqONOeBKUIiH5aDlGEk8aalWuHo+pRlt7Umtao3jVPkAM5lD454Kr4DKK\nqvFS3/BoIt6/sqVDAEpVdagLTcXmiSY0H8q15OjGcCc785sXNimOq11S9IVgEoMZLUZjRed+\nEWH2lgVhYDlOwwiyYbflw/IqONoL3/lwhQrGp0NzClKOnefAZfjQ9yBQgCKYk2qx3/BguaEA\nbFJCRUJLYqjw9P30Jqe3w3A/9Fd6KQhB7gC8UXW40nr/h/7DWwuhlRPhj2rrH+zqvbfj2d95\nY/zFGYqIuBJfOXXhA4O9iEbw/a/jZx1/MX+2q1RI2m3KjRxiTHY/dgmzjljQJffDB3uYfLkt\nxRB+lSeHqIOIAqEYVfVC9bFupIVQ4mbFknYxqZ0qKHMIUNBobynuipU6l7SRglpLPKCgWUFd\ncuwuqFj0pzqznf+wf+KzL1EUH8e6lo502yuroRjHOk5ejA9ZYShac4mDo/sSuZV1KZfJxPz0\nrV+gADR9DwAAwhCmbUoXm+Abvw6FShmN7oPFJnjvj8FfBJ8O68ahuRzLwQ9KyecD725W/UgB\ngFloewnuugSDeQgGlaXcS2fgrpcgRDHQO7/ZvRCKACP4wSNgrYIW1IBy93/Z94N3PWskq0z9\n0NTcf3zl6OcP7lErQwH/0+lLXzlxgdVKQsKFG0Iss4J6ftatPlbVpyf5Bkc2cb/QIvbejiwS\nyzGJIpNVhChF1z2BJ4M/mwn8sqgkTVQ0UKGgLiT9ZxFASclkfMxgCAirVP+bPqwNLt1qyUkU\nABOZk6ErrH6oSAYWfr7h5Gw487ah9X7T/mb2cn/yL+8YKqkmrGgq8Is9rww3jWHHTHJa/kpi\ntGexK6gHEEalYqGptZW6ZdlzDCa66RPoH4EDhyj5z90LQwO0BgjyQXjwp9A+61avBNSg36jF\n4fgF2PR1+MQ4rCtAwAC1YIZhpB+O74ZtZyHk/uDa+ubA1h/sgN4RT7/S0T546W56kS+sJs8v\nzZ9ZMTHBDLEMAByamn16ZMKvqhpCyULxlYmZP3r5yF8eOY3B3uPYl4diPMf5pcsPio2Cq7Ej\nrGnvTBQJLEU1T4P8sbqd+LGXXZKm4DQRIUJFgtfX1pz0YmqRkwIcKclkUvhPDmtqDWqFfKIw\noint6KJG8Vs2FTzUXNpI5ltoK26cCVBsxQeXDvgggOz54KZiW0Rvzvg8RLwzkWki838cfPUb\ne449eHFTf6p5yV94Yf1IT25PrBheOfkYRmJjU5EZsnlJ0Q+tO3H/pbsAUDFXmLwy3Lm+T3Fs\nWVQDHnoCdh+HS4OQJDyLKSa+/2n67XdlgDnnkT4wFVAIIjZSrMW1TB6C34dHdPL5sNgEP/wA\nfPKrruxQeAaCCfjxe6F/FLaeEbTbmO7glTZvjHHffu3fwtGZ5Gefe91ioU2ugsYLiNF5njqZ\nTxVuz+ynkyevoNUfugI1KOzuqobkNbbH8tRPvT6BuZtLalTieiLpP8IqKig8XrSluKGl0DcS\nPpz1zS/nRPTE+szeRNG9yUKAtqcOHk08V6q0ykeAqrKm86HcP+06bv2ZSQVvnd5n/TkWY25Y\np6IzRbUUMP0AMJkff7zw1Ibg4L85/XYESucU7Dm2EgT+E1+Hf34URnvthkZR3/lMrn+YbgnP\nolIBACMoBKi0ZS04BTuY/kKH+2GmHdor3gAGpzOw/zDcchguD2Za8yUNYkugVtuIkst2BaTC\nU+JaQS6EEtcNGMyCMscqNVBBwT4TUewx/GYkWupUMW5OrSspOQNl/GZIM0MKw11ItBS/bfaB\nK9HTs8GJopLXTH9roVPBaDzs7bvWbKgiAELWx1x2MOCclguU/CW19PONL2b82bZJ88PfdatN\n4kn41JdhtNf2LOOfKvWlmM5iYkuUHeQyfHo9zeengbtZm+5wLoQbLsPGiwAAhw7AL3/30nwL\nAIBWgu2n4YGf80w4Orju2ZPnvamcJCRqxlpZCAXtR8uJ6jIqT3onL9812PpSngPA1SVslrK6\nfJQmzhTQiJYJTESJIy9Cn5I6UrKI+MCJSvwvNN35u8dCz7lyESgDmbci8CEwAMBvRhRM7F3s\nS70yn5AR3Z66DVKglM/hom/W60JYVEvOq6OZPFG+ZgYQoHNtlzP+LADECkxrid5R6B21/uLF\nbdhyDkb6mEVVYxZeDWw5Bx/8AQDAEw/Ba2+x80saHNsDlzfAp75si3csYATHd8OJXeDTQac9\nhLKT+ZFnnesk+euojUmrnsMdgPOoEKEcibEE2EiafJRd2T1WLWepVt6yes+UGmuDI10rC6HE\n2gDSUauBmhAYPjyj4qv7So7Ap5nNJYX+9S5gJlqKOwJmaCL4ek5d3oqhmN7Vmz0Q0dsNVExp\nowV1ScFac7E9bPCC+FDRXEogrGDk4XtSsNIOoS3XOhmZotaMlMLhUggAJmIrFUaaF6k1PeHg\nq3B0L8wShovBPNz/9Kp6HloPv7gbhtZDSYN4ElqfmoHTzMp3n5yGBQjlYMNl6J5Yae5cBS0s\nxeDJd8FHvl2Rqfvg2x+BC5uY/ZfS+vN/cFjPi2p8NEV5cGDd3ta4X1XOLSw9dmFooSDyZRQX\ni+lSMYOxAUjxqQHNH7PNkCQaCXIhlFiBjlqzyq0msr9O+c2xiPGKSrODrhea9V2z/peoRYni\nVgBoKvU3lfp1lDdRVjNDKvYr2JwNnBsJv2qg8sQi0FLs27h0h1/AbtqHUaiozIUW32h70dMq\nCADdmS7nnxuTg+cTFwoq5Zm7dXblMV9QiwEI6KBfji8c6ZrcN9lFVhaHVoJPfB0ee7jCm0zX\niPbAj4PN81mowU4CAADeOACPv9s2aUvGIfnwKXTpAVygfJPsgbH7T7uXyePuoMg2zm2BQqAi\n4u8z9zFXwcJkYej5qeN/dyE9Jvq1c3db4ssP3NHfZPPJf3Tnvs89//r3zl3htMLYzKQnDcOe\nlqHni8V0ONxOj00hcVPj+iyE19IQQowR9Twjmvk8h2ypzcT+qslHiSIDtWTUt+JK91pFpcdA\nD8RLP0ErT1iOWHSlH+TRsr6leHtGHcqpNjO4jObSpnhp24qRAoAPhxUzYKBCxjeTVsfGwm5L\n7Xn/SKmpsDf5TteldESEwf3JwG+93nbbcCRgKCXFeH6g7T/d++wv+0ZADJFSZHNyizOWdcAI\n3D161wt9L5YI56Vn2s4PZgb6EwOfCf4fQQiaYI7C6OcfOfa9v2n3mdX9eXIQTcPH/gmScbjQ\nZyaXtlwYu2eq1PMNQD7Qt8C5++HpFpj31OF8CzzxEGHaH8rhD/4QfedDuHK2UUh/EH6AiR/M\nPDturqnAQgK6ytEjDBUO3cqsfNcp34W/Hk9Pia6C7aHgd9791kSwwrIyovn+6v7bp7P554dX\n1Eyk/XouO+tcBVdKsZHLzUYiXe7j4wg5SdtxT5b15Bg863tOFp3epDGuHkhFMR3pKs0E3GMB\neZJ5qI9h/vWxI7y2CyETq5kG12rQnYModepsWcg1MaxuUJhVb3HuBe3poqACeQ3PMjpcVUIB\nE4HSpO9UMCopKRMVACBgtnQUbu/O37F82hTAAFBSMsPhZ4cjz88Gzixp4+Q8AaCoZsJGImw0\nO49UKSd2TYb+/Ef9g/NBH0YAoGJlcCHxm0f2nWmbPdlBMYEg746SWpqMTJrIbCm0oLI7jpJa\nOp9w+88EgIgavT/xzli42Yd8AIAANUNzd2TjxebZGI488RA89U546S44vwUUEzrp9CoPwTyM\nTb/lmeQjGbN5eaomKDPQfhT2bYILUWC648lCeBbaTFCDsLIMvHI7wyqjbQ5tPbv1SDiDYzr4\nmmBxLxx9BL4fhxTC2OWt+cQu3lp4xyswMZPJ6EZY9V2I68fuYr4KRHTlD+Y6vnNpNG8YwDUf\nXE783i3b7untJPtBCA02x755yro0FQaFpqnnstSLDhibiqKpqtwUNhYkNSoBGFQdMYMIFlFv\nCM5cvdERqG3F29uKt5uopGBTwcv3pL3HKinZ89Hvi/haS/rH2wqU6HQKRn/4bHdQd3/+UbHy\ntz9++OeDl+YrzQ6ipdjeuf0+Uz3eemQ+YG+wFv2LR9uPTUam7hq/UwEFAIaahqkShvfAeyKI\nIv4c39vxT7b9BQyth6H1cG4LPPrP3qQuKWj+KTxIrtYFCPwLvP8z8Ldkk5H0tqeyHxjtWNk8\ntcD8vfDcbjg+ww4fibum7uz57kdJRRFCGGOnl4DuCSbbqeXx37x28bsXRxcX5vK5bNvOlkc/\n+x7WiIYK8YD/Yxv7//qU2y9MqD3Qub/FF1YXhzPTh+dNAwDgrnVMdeutna1Bny+vU1THhk4P\n6rQM0ywC8LyuS9x8uIoL4RrZ9pGgMaI1bKs57IT1N6dObWSpVYdkO639FkmWEvLRSmUphiDn\ncpkovFIfuyWmHMN8RNCnlgwBMXyNKlhVsF6ubGtNJ4OvC3ocLaG8k7q0sGsy1LNIF23G88H3\nn9321X2HrZy9cwfWpwcQoJHIkHMVtDAVnroQv7B9bisApP2UiUUhugkYywLtNJ/cCf3D8JbX\n6C2oOAk7WcFvJ6FrGjo6oMI04RIMfjP8YTNqDz8PLd+HR5YghvAvOQOxlud0qRRQFL9v5QFy\n6yF45XYo0fZRJ/959NWjJ4bPnCoViwCwkBwz9YcUH12T0joHAHBrW0XgKi3se8u/37npkT5F\nXZn/0lj2F//34eFnJ+N+5tZNQag5qOUzOgC4XHry5ZcYk9RvbWbqHjhDEYef1psHFrN4996E\n/RXJ+9C1A1lPOfKc8JqVE55muNJKSqQkAHHlMArwXp/5wKCaiLfKiiCpUbhHKjRMNzjvS/KY\nri1zFTF12/Kdyy8Tw9HLrCZXmoaWE4jmNrsVWllRmVh444Cn6jAH9DjA1FIM6EfwPlOhTOkZ\nuK9pmCm4VUxom6UXxfx+axXEABMTmTN/dpnUeU78Yu7wX564dOJYqezgJp/Mn33sLDCw5xgA\nQFiz13iE0Nv/+sCWD/VbqyAAxHrCD37lzt63dk7lmLaTRdOcZ4TzVblyGCmWaUBIalQCEOgq\nThqI/kDUsPdPWAB5pT+l3ZlXegAUBYoh43xr8RkNLwDgjHp2yXe6pMyr2B8y+ppL+/yMBQwA\nDFQwkOhKHC+uo3fCfd8rOjygNBcTIWOFFltih61Y9C8WlaLf9McLzSMxt9LHBG9iVACYbbMd\npF2J5fvSAZUVmQIAAFSuQNRXGRXyor8vVaSHRTRADRzb5nvgFaoxn4nw4+9G73oSIhne5BHA\ntnDk01Pxz//r433v7UjsaFKDSmY0N/7szOizs6PnzrtCcDz52Sf73tIb7XF/k77zlyv2lPOO\nbXbfA509d1HYW8WH7vzCnp//3tDtXfQwWM+NTJYM+oVQfQFF1UyD+v6HfD6eKWcNwNg0zSLG\nJgAoioaQfOquOfAviYc95o1AhJJ5nrf53N6sDEv2xLQCptGzAmQpxbKeqRpFPCefbiYzZJ5L\nq7eRx6JAPmicL1ezaE9SCFohFs2oO+a1B6zeTPBn1J254MZ1ha8vaH+RUW3pfUa9vKC93pv/\nYNjor+iwfIAKrgy1wEZM72gtDqxEBMcVp+V8G2/Le7RzsjyWsmthPwJl+Rzyb+mfDTxz38jb\nNywOnm456wp5PwMzBhgqN8ItB6ebswNLVQIndQPTuxsA/PAzUztG4d7nIJKBXAh+dFccfs6s\nnMsl3vcj+OEHwCRfFxA6sQvG18Gnv1Tdbc1bmxNbxscPf3kYAIxi2e2nbqST7siCqZHU3xz4\n2y9+5zMLB2PLQRnbZ+Cul2Dv0ZUKOw6/P9JxbNdnBvve3hFexzwVic1N38tMfTQ5sCnuXlMz\nJf0/v3yU87sLhzsy6XGS6AsGE4pSfiqSYlNvwACg61ldzzgfNYri9/liZbLRg98PuwbPCJ3e\nnJbLGag2jrQ+8lGyMo03rjPqphq9oRbCq92bJ7Eo2ao+8lGn42lXDqkj9cGSCnkdtTvZchWn\nY8ZLPlhiN6ckDBSZ8X8QiGUAI19GbS4o7vsNIz3tOx/X9yqgOQSlluwTFrXLJYW7JQFIlHq3\nLN3nK3+ztNzHLF+ChbCxfyzUmaZQXpcSC7//rid1xYzosQNzd7YW2q1WM8GpjFbxCbB3sekL\nz739v/3snV947t5HT21FOJ0ORcN6bCw27gxAoYPeYXZ0IK6Xskq0zsPBV1fSPZmAVu3J2wIL\nR2CfMwS8je2nSwffHF8Hx3fD9tPw4tvgclMrnNrJ6moArtwxfWnLeRjtgwzNuVsuBKa64kSN\nj3ldf30xBQDYWDkbxUJxemSIrFlMF+En+l+ld9961LjnBbjjZeiyeIdT20tTty8+Od1xe8If\n0/gk87kfjXz7F+e3xJs2NEftzIXUJ5986disYwEmXDIhRfVpEdPUTXPlJUZV/aFQq6Yx/dvV\nAMPI6br7KzLGBsa6qnoIEilxtSE36RIr8JsjmjlVUjoMiAGYGp7xmxPgneXLKpsx474y0GaA\nvQBHifx8UjvWWjxIbdVROHAl/DiZj0DpKGwLGs3xUmdEX/4qxiQM/8v9k198rKcnVbFyJEP6\nf3jw4o7UwYgejZXiauWxDqQ3TocmrT8PjvU+8Y1fS+RXeLP2bOSWye50wPjje/1NhaazLedm\nQjMlRY/o4aya+7H/xwlI9EBPxYRNx+a8ErfYYh0I85lcAAAIQOHD8J1/hF/NQ+XztHsCHn5s\nObkUgx89DBPrAIpu8taJHhiDZbef7NftUzvgnU9VnRS0+NzX3efzIYSoCovW6e3Kl36r6T0/\ngfVlWWrRD68chBfu+f5r/0ttE5IvFBdLs9n/n73vDJOjuNZ+q6q7J2/Oylqt4koooIACSAiJ\nHEUw2GAwBoONEw7XOdzra/te54QNDmDAJmNyEgJFJBRRRiut0mpz3omdqr4fMzuxe3Z2JeyL\nv32feaTZ7qpT1T3ddapOnfOe8E2vbazO984sKZQZrevu29HSwXNYOzCmeLwVwuRCmB8QoYxh\nWE/gONc51yi1Zd0bxj8Zg1OE/9xl35AW0TmRjubSqM3fFsiwHgzOWXQQDqWDdDGNWzJt4+hJ\nqo2UwHDwuBtIdKZMLQyh2WhImUGz+XEAkzIVIYAIbUltSwAwSCjCmimkMnVOu2NnsrMfFfKE\n4NIibTyAONd2Eu9rvGDsVLuHf3pV4+X788857ioKS34H3zUy+OSM5h6nUhkenV5LCACVoVET\neicdyT8EwGXITz51XVwLxuFV2Q/eGPu/50l5Wh41AWDLiK3tBR0AHsSDczBnGqYVoUgT6ow6\n55VvejYtwnsz02RgwhEs2JL1niUj5IZTBTVHoeHTuG8r5u3xjeuTXSjoweT3MXtnctKHY+MF\nQODsQ+0+7KvNFFZEO46urHu51notGEdfHgQZOMCj1zDT3gZCmbeg0N9t4XzrhhttZXjwNuT5\nUdQJXUZrOQyp6eymllktmeUzEWo3m3ZfwE2/ouyq72070h0jseMJw7at+S7xqFBCICHF1pce\n0W0xlORgkhRCFzYs8AAyFOEg3Eczr8LeZzV+Df1VMnM0DglZ49//tTbSoYz8wyvCYZxhkAGI\nvqxJIHmq56pJwo3Ot3rkQ/Gn2W2Wuc0SnYQI4DHKSrQpLnNwxqWQzJ+Y2f3UWV2cmPXePY3u\nIxpVAThN15hgTbV/SuZ6bXrXrF5HT7uz9dK6mtG91v4mTJAvbRj5HxcdbXdpOtWP5cdmEgaM\n0rruj2025zc6XLonOmW58nmMPY6t89BSAUFQ2o7ZOzF3W0pCoqaq2Nny1mQy7n4kpa73wb8c\na3pXZGE46x8ULnsJfh9OjEk+R3096rWPbx89MDGbpFJiP6bHEbWLpqFq3IS6nu3C7UJREVpb\n0e8+2ig1xXx6+nzoS2zytdVmzUmRhLe+fWV3R5Slhrvc//D6fkTIGUpDdSaQPdLgnxGHMIyc\nMawIh3GGIfOOrG4iFstBAIpIhI5xGMfcT4dZyoAYYm0a9U/2X+8y44uXoVBrmsTYXvxmr5wI\nC4iw8KG8PV1K2/z2pZk7UmWhinZn61mt2ThCFZPM+/s5n3vrAs0AP2sVbn4EF732/bXLvrPu\nvMzCZ+2OeYVkrrE6i/HsNWhKcn0ta8PV/0jwk1ki+0LNG0DACzhUfPyv2D8NhyahNx/uEMYf\nddW8FyzMKW3vqHdGoyWctI9nge3+vnd7LRShseICx0N/jkybCkoRieDVV/G1r7H6o++V1nW2\ndxcbhWnlLSNS0sANuvb7522/P87VRsOhVdwsyS/8dC6X889BdnMrIQNf5jD+abBQhKedGv6f\nN9MZ5KM0CC+pwUgmKf8ly8+g6hsU6WhmaLyV4Tczsj49xD5JYIbbZ8INNUuqpiw56zNTPlG3\nebRXOsckltwcLwHWwXn5Ri0BjRpdu5QdaVowCoOEm5xbJgRX9B/IvOT0oSfxo/SrixPug8la\nMI52Z8tJb/3YQA2S7jwhYnRo7PuF++hAo/N0FR27awBgfw3+ftPiT9/3HWvmtqS+pT6GQQ8e\nuhUBb8rBtjL89eP41P2xRL6WyMLQRgTmbsPby/r/qN2H2n3xU8Ecn3KBRT9agnWjccvDsKFm\n3R8MfOt4vchwtu246oqGz9+TeBGcTlx9NZYvN5cta9i58x7HZ/9mPExTf7WyfdmcjBo3tR94\n7or9T8/rOZ4e7aOq52nqYsWxKSdK0JxGA6SXibtvZ7SQKY5SmRBqZx1lTCHktLMvWfi1DjT8\nWlzCUNxHMwVZ3PUzbyPtr5PxE50mq+pwQP0wzjAI9GL9dSogaNPxAAAgAElEQVQyg//2A7db\nVmHC6TITfiV9km3AdY989DRnWk2uo3anGjwWStpluGd3zDtUbJtAOIo8h/oF4D1ABQLAU00j\nspfPxMbF6VowiogTa5dmqzhjDxSbdd2Ug1iyIRGWEAflmL0zp15RnV5yzyXj3xwPk6HEVrW3\n6prfMABIzD1x1K3Lzn7w0kWvXbjw+fOKPzP2ZMaglZeHBx8EIY+rf7vGfX2dM/GLnFKaftr2\nQOc+68xc4Q711du6Nv10ZaYWjEJVz009wCLhW3q6X+jqPNjVeaCv92lNveaf6eogyxb8vQAo\nlYc9Zf5PYdg0OowzDwdvrtIe7WOzInQUJ4ok/G6zrku+DLDbwkmZkBnENpKdE90gqmQfgJ8d\nAiIs2bK1BSXrdkcFx/bk93U7I4UR23YLgp5f9H9XAE9prhtdcVj5ssRwcDKuAjpK0JcHh4qK\nloRDzEFMeTcw3/yfKoChtB1n7cb8d6Nbjp52c/lbzJBw1XOYegC7z0J7KZiJ8laE3Ng5O1tn\n8ntR3orytZNn/mRF0ZEiAPAE4LKNJRztcAFwyAXzpvyv1zUyelAmzglHUX0Mr16MrXNBOZjZ\nT8M2YwZmzMDu3c+Hntk1sb6aTijTS7pI91HHSQC+r7gufGS+qyQlhNQIm2u/sDPcW52l25wn\nhd4Lua/3t7q2JCHBmG4Y/6Mb8z2erw15OiVEpWGsEHwEIQFKN1OajRmPMacsC133JzfHmEOW\nraY8w/jXQfoQGar/CV0dQhNWVTINrVn8vobiLJoZWW8lJ27AjNssrO2fOinVaIUJL4Fg6HXy\nE5LoIlZmz7QvmYSi8Y4xES403hGQVFqlkwICQsVsTqxTD0rC2y9TAKDIEkRPGBz9rWREVfb/\nz4nBRMokL+ofS0CIIMJmV40KGusGEQCmt7gvOOQb0+3gRBwrUp+v7fv4DqfdhlxeVRO+9HNs\nnYtNi8DpEEKwg/Y8z5oDv/tMIh+vK4zFG3HOZqwWKzfjHKD/9reW442V7ODEyGUPmUIVBcpv\n7gGAihYs2oTrngIA1YE/fdIitW8aztmM+e8Cz07Bkf6kEhbx9gmYgkNg6ti741owDiJw0WuY\nvQNlbaACfT7snYH150KtqcHu3QAiocCpouZTSjPvJ4LpPRZ84cqN0+8YP/L8Mk+FM9KlN25s\n2/OHI73HgpRmM5xS2gsSewzCoZuTtWAcmnqNLG+U5RfiHez/kun+HT8R+6prn9O0LyavHxh7\nR1HuJsSSiU4AkCSXJDlMUxPCBAilchKPbvLmScaDNRhf1SR3yrQy9jZhC5PmGbKRxosObrJx\nWnbUrBmjBpY8vCL8t4VBigwUCqIQYTD0yaKNwIKJP0SnaCThnmHCo7EqFz/k4aebcSLExndJ\ny0wSDznYCKwDPgaku0L6jJrkPz3G6IhivaLymBXE3hWnR25scL/XKzcLcIW7StSx44MzFZ4S\n8+Aziiz3CAHka4lMQrdtK71iX8L+Nq7LKQjentC7pD5P5jZKzufH8rcwqgGP34i2MoxstOun\nJbKrzmTVFXZh9Qqc0qoPbj8ns6TZMFbZtVRcuC5+pKUCz6xCazmWr8GmRQNrQYca20lcPX31\nqBbn6PDIuivrDi2s88wgIzrF1AMpWXajOBIOy8xXXrjQUiDlCT+bPD8WbcLEOjxoKiHAKUlz\ny0oqiotbwuqhHr8QQggW9J/f3nLO8XtKGGtzuTe7PWu5iDkVy8ohSvs4z7NsSFYS67NIZJXd\nBarqdUmKMFfo+ic07StpB01zoar+1em8AlYvVz8IYw4Me4r+H8awIvy3BI2Q8SbpHywIDBRo\npNLN9zORYhjUyIhkLRhHmE5SRKcsUvaEBJhOSjlxMRGSeTu1CYSIIkJHtssXZWxCnwesBmYn\n20hlkV+spwygxfr8bnk3Jxa8aJUR66B7AM2O/Uc9GxKXRsNNroOdjhOzuy91mYmtmjHBKXsK\nNlgJwPjA5OiXpfV5yVowCiKw7HDefQvbltXnTW21p6OceBgz38OuWZi1y87CwAloxpDIOMzB\nkLIdDNkaN8W+s5GkCKPYuBiTDuHA1AHESgaueTZGLvr2nLq+e/5QPMdH5djvuAN4YyWufB6T\nk6ZJHPhHR5vbOSp5rZMdpe1Y6b5y6pKGry5alO+MGZyP+oPf3d7w1NZvq+FELwN9lzuc+0rK\nv0BZDwBCdF/BA71dX7bouXzQ6YqH/UumMSazTKzDpk1ukGyQNe2L1tL4TNO8iLGXBi8zG4Tg\nnOuAAAgh0gcU8j+MKJIp1v5vzVYIBAGSPx9AE6T/k6WJ5JPxf6NVCEk6Ymla6S8jMgQmmxFI\njpKJRRnRfyTxRSOjDZLulQ4wkxTJoo3EbIkEIGE6WRDrTXtBZIdoBghAI3SCn50dYGdF6FiV\njojQsSE2GWAO0RaVQyH672RMcoe8wiSWGyElQCsQm7m7zDEj1Y/KIg+EglACAUIYXF6z0i8d\n4SQxyyZgY8LLi/Up8ZtAE78gIrTvYN4rmT+BSfSQ1FsZmUgAjar13l2n3HUGtVDhk/tmjQ5W\nRyV/dkNZUdjSoZoQ4MfLmtZX+5ccy1NMm0fGHcKU9+G1YBU5VBT5/qKGXpc5vT3dEnpgKoKD\n2jlauwwhG3OqpmD+VsjpaxTJxPGx2Wycs3bh6ucwqgGc4pmLSdcqn2ekk7CUyzQkHJyKCfXI\n8wMAB35zqmFtT49TKRlZsjL37lcWTvhOdZs7KR9ToUO5YkzplpMzj6Qm+TWNMl2b5PG9AkAI\noTj2EgI1Mit5miUruwoKP0+i6boECGgo+Ck7Z0BC/A7nXyzPRN+g9NGAwOQzdf1Wu2shtIux\nNf3C+x9KG/kDDWYEIIYRMowA53r/R0VuaTGytm7Tmfj/g6ibVaBFZ874KG4rcGj3f3hF+G8G\nopMinVhzu3AoBilJyiZBbIIcAMBEHgAOZ6+0wMxIXi/AAqwWYHnmdouGiFOz38tx8TvzjEaA\nusxyJ6+MtZYKrzlmpHpJu7xVI90E1MVLR0aWuExbzpp2x2FhwwbXpTSqNCigby96RaWh5FME\nxGl6itXyMcGJhVppVI8SgbHdth5947qcAHodhle11ydVTcn0LnGczFN/Mr/JadJLjxQAaC1H\nRwmYiaom5PVh7ja8dJmtSAtkjx+0OttZDEWDZaIJAK4wrui3F66+gO6fa8+KQvHGYiz/i7y7\nW3qmq6XOaAUQjJzi3EgwVg8EQR29yC9GijuuRMV9l75c/avP8VRLcSQ8X1OnKI4YXbsv/36n\n+x+R0HLTrAL6FMcOxbFN8OR7bkrSUSPV5B4HY3U5djLRW2GbrAqAEJnzzqHDMAKmmW59Ns0I\nAMbOcGaMYUQxrAj/fSAgR+hYjmyvikm8yYowyxxNEArAz2ZlasE4Amyyix82Sb5OijkkSfjd\nvF4SfSayeXUKFOcb8wDE0/BmFOAnXM/3SAfiRzTaF3K31oSucpvlllXCLD3FQTKCUs9Rz440\nLQhAQJhEn9Y7V+YJzccEofYkKrIJAAbLSjlmpQUBjO5zlITlRQ3ecKH0+JVoSYrRn3IQl76M\n+mocnJLlOlJR1ga77PI+v2W2CGZi5CnUTbSuFAsR5CTcOXrr3My09Ck4Mkr+xE++Ef1eVLl5\nwsxfAcHmrvUjSs7PsfsAqNXcZWxBz6zKlh1NlWnHNXV6XBECYKzF4/sbAM6tfy2n68mA/5uW\npxzOxwEI4dL1laZRCxDK6iTpFUL6OJ+gqddyPhkQlB6Q5ScoPQaAkmxRoYQM2knYDkKYmVow\nCtOMUOoYtpF+EJDOnEV0UHKGELd+uhhkW5men7lWSSqZS2T9wPctm2dpQjIdUAsCEKBRa2f0\nT4oIt1FaTARNkq+T7J4VpFNayUlCQi/m5Bu7fPxgljpMhPudMzN9XymAVuWtZC0YhU4Dhz3/\nqPV/kolE8vr+WoJkjYiNsFCvbD1UaVRtdTaMCtUAMde7sKw25YVG9FmTb0otFYteqnrnsi2H\nqrSOcUpTFTiNhS3Y5bBNxoRux3jD+9CtUFMdYw9OQVcRbv8zxh/F9rPRWg4A5a2YsQdrltsY\nM+fswH6bnBJzdlgeLm/FxDocrrFwzCECi76/HK9PQdDbcMEJLp3IfiGKR5ccpqEyAF3N5xwy\nXFPP+c6BEw/4XOPyPOOy142CKpF8zTpecHR+b6Yi5P1OT5HwuYG+mzRtGoQkSced7hc9nsdA\njDSnR5f7CV2frUYuTpPjdD4oK2/q2oJg8JeCJx5vQr4mSa/p+qokKt3zNO2TTud3JflvlB0k\npFUI63mYxN5K+st2qMhClRknmjGtsyTGYRCi5JJ9KSpQWORry2HAOd1cS5kC++vkFPg/qCYG\n9iONIwt96/CK8N8EJvENqAUBUJGyUFBES4SMtSzp5KcMWLNrJiNZC0Zb6JXmMCOs8A6NWitR\nt3k8+sXPJvrZZJ0WMKG6zZMFxi4mejn0TsU6NksnwU55f6U6w0KmUWyZkggAAcmeKbdPTrC2\nRFhoQ+mrD50175sbzrUs7Nm44LO/nDMqOOLJ/9gZD9A4NAmbFmH5Giza1L9pawOHSXctlFSr\n8JDWcuyYgwVbcPZ2iKhu5wDQl4d3rTyESkX7JLJho0iPECgoqe9ZvDGzvGRgzg4U9OCKF/Dy\npSkGUmbi0sd8ox9fBE4AtOYPnIo51OmKasEoettn9rTN8hVu33zg3rEVV1cWLXE7K0wzItd0\n0IZqS01OZ+6kW61/lz6rGyRJzQD6ej7j703QMuj6JL13khpZWlj86YwoVdOX9yVFWRsJX2sY\nNYSYTDrocDwqK29xc2ww8EchUt4XIfJ0/fqMZuVI5AcuepixrQ7nDyLhX2f+uoytYWxdhsoY\ncpxitmd12O/0A8KwIvw3gQn7MLQEhCxStmQcvMGgRQZJd0ZXRKtDNEZoekxYjuhls0v0ta3K\nxZmjhix6Cow9AqzJcWWQJYKjA2x8pzx/TOQxgnfSCLiTEZSaYKUIS7VJJ9xbLLcJy9Txksjm\nZZDcxX3520NS4MeLN150ZMKc5gx/2iMTsHNWx5SOfV/ZI1JDcAXBmxegoFtMPiiYXbIlICKL\nFvuI8LVL0VaG2Tsx8lTC7rpiNQLe9LVfycGSG6+5zvmR+0aj4U3v/HajSpgSytow8z0xYUdZ\np2hL3aJlKrvq9ssLVleioHdm+B/jjoXfm4nmSgCobMZZm93BXy7bznd0oettvP1y48urYBt7\nEEXdi5PSjvS0z/IVbje5Vt/0RN2Jx6IHL/nePOyZi5cvTV+Ejjsmzn8bVhMe1WDbGtPvPKVB\np3tLJDw3WQvGoaln9/V8V3GsZqxJkg8lkQsKh/MFh/MFzuNLMQ4gEr4jTQtmBdW1O5lrqyS9\n4HQyVf2OEHFfHi5JTzkc34oXNc2Irgc51wAQQhlzSZJ3UO4nwwyl/xKcviLMxbL3L8CZajR3\nOVYlM+2rtjaNrFyjmUeiImSDlJlw9xs8B4BTNDISAUic15iAe/meCB2lkQoOBwAmQk5x0skb\nAMJE+qZajjCJW0KgVF/TKS/hSdHxTt5cob1GCG+Xz0vWgv21XCedHxmhZuP+4jCsmFdFi2Of\npRZkQp4cWBzJmtfXqxdGZRpEa3adABBQtPNue+i7a8/7/PpzFckEAL8P22LB8pvv3Wwq1ruA\nD5+v/s+BbPujN9SX/sI+xEB1YNcs7JqFc9dj2dv9l2Di2qcxdxsOTkEv9Tr3Txi3Zty0J6cF\nPOEHS0ntyJa2Kx5NFhK3NhIBSUeeH+O2lM//8rUl75d0FnQV19Xg93fnL9p03vFD8AShK2gc\ngTdWrOq44S28BYApLP9kfqg95C61nVqFOtxrv7c07aCh5QFEKfB5p8yWior0gKNtJ8JNh71z\ndqCyGVsW4NRI6DKKOzFjD2btcrdzy4f21+/Oz1wRFhT/nFJ/0H+VXZfCoUvDoUsBMHbK6/uh\n4lgfvQexW5FIV0QA6IZtEI4lTHNWVJAkPStJr5jmQpNXERJgbCuJBcUSEOi6X9cS5ERCcMMI\nmqbqcBRmqLfMC4/1kDHZsI9IJEQGSO4Z263CzAc2qyZVH5qNNAdzZf8QlI1J9QzZSDNbz7wb\nwyvCDytMeFRSlSNbLIHuFKcUYWHyIuAufsKNegEJEMkcobLoYSKUxbM0CzhRPPyoS21Q6QiN\nFFAYLrPRyZs5Iu3yum7pbstaBnGH6QXA7+zEOriFtdYgaqPLWn2aRO+TOoq1kfl6aa9s4e8g\nc0dlJBZwFpaCnMS0aVDWvrpi9aq7fz++vQyCwJ+IbGhYaE08DcBV5DSZna8MALhySxO0/lxU\ntGBK0k7rmBMYcwJYMw8blvh9eP5yHJziNdq/+3Y7cLQXC9/BvPTllSDQFfjdVPl79bbyne8u\n295e2P5fv/tOUdAHyUB+L6iAomNinVl95Lzdjp17Ci748QWTrpgku2TYm3gbt1U9f9tVPSfS\nfwhZ6R11+dSpt+cxJQTEplB9pwqAPlQ14Zpn08q/8+j2i9rHTi1N8fd5ZPeMb761PPkIkzqK\nSn/qdK0BoGvZ+NWiMM2RvT2/zS/4nOJYa1dGWD1FWZG8fIww9hZlGWRGXE/Wgom2hKFpxJGF\nKykVhDDGHJb+Moy5hj1lPiAMK8IPJQSYNggtaPj4ngFnVVa8M8LL9/SxucKKzIWJcBJrTObZ\nEAAK3WMeibqdUGGYxN/o+I1GxsF+O1OjE1y8KkybLM8W6pMzD/qlZm6fkqlbbizWRtb2LdtW\n+KJGUxQRFWxmz3kydxCQIrd7gqd4Dr7CwZvRvBVbSzeXFnQXJqfKi/XQY8skQAjaTWcFbDk5\nZR1VTSmJluyw+ZwURQgAqgPvzerNx59vhz/ZmN2bj1cvRktFIvohubcu/vav1554tMnUOIBv\nfPZ7/9kytWxkSmInxvinV87HY3OF7IDJgAgytKAekY68PHHDfy9p2mWdkWrW7fum3+1Ji4TJ\nG9lnRJjkTP912g+2v/T9N18MGqumTj1/3Lh8h+NEb+8/Dh58p+GRtKfa6d7q9qzv9wzNcYeM\n+v3fLHash83eMKVtpjkIXUjIAD60AAzD1nzCea9p3sJYrlw2suwFSDReIg7GnJI0HDvxQeGM\nKcLcTIhneKf3jBtdhyAwlypZLaJDYR814RM5Zw5xiRP9deNV0jM0ZeZaiiZiVURPobkxSCdr\npFSAAoJCdfBWNz/KibObWVB8AVBElyRC/TITDKXt8j800gpkCxHgkEdErjjq/nPmTmGZNtvL\nR4LwNmVuuzIvRCsBeMxGj/k08KLd06VTDaBes3Bh17VHPbvaleNhFlC4q0StmhCY6TMKKcHY\nwqJCV2Lh64NvIiYuXru4KDWyO4qCEwW9Y6zdHc2AdPhkWcXobOPm0rX4+01ZzsfQMBLPrELN\nYdTuA+WAquCp6+D3vn59qhaMY9csTNuP6vrMM45ipbzUXXlSABAePU0LRvH4tOnikYWxkA53\nCLX7sHQtXGHOyeovr2zZXd67uzSfG11+i5j/auDs4rqaO6il4pGcZsM7I0bOb4zSzghT7H1s\n3+v3vqb2qQAe27v3sb17k4o/CpyXXD3Ydwlj3fmFvwQgK0d1zTo0MA3crFQjl5hmoRCFlDbJ\nyjpKW4BYfnZZedsM5yQnCll+OfYt7qydWBBKprmI8wncfBiws8CrmnaX07mfkNivkzUNfbRF\nL2MuzjVAADSa0cmKsiPTwJg21PSPKqeX2/2M20gTdxJZJOfSxFAKZ9pIh1eEH0pk+Gpag0J1\niEZJ2OeyywGS8Oeb2wQoIFGhEpixtaOAg7SoNH19QMALjXej33XSFpDejJCjgmgSLwyxKDGX\nbSIkAA7R7eYjakKfaHS8FmAn+vvgqVQXVGhzBehh90e65IS/jF8a45e+BJQDH7cciB39iXwd\n3D3Fv2iaiNG50f5VRqnHm6wF49j49Y1j1o+Z8NqE5kqcGIOICwU9qKnD1KennjjXOrrg7MPG\nkqxaEEDNYVz+Il692DawPQaCfbXYV4sts5WPfnmmZ/Ui9OZpCurSnVSSsHe6pSIE8AlHWa11\ncBoAvORc0bkuieUu5MbWeThcg0/8hXoD06qbfuHfN3dJEyVCN+kbR8d/8+1zdzeNAjADuB9Y\nALSMyru/xHZrq+NQ6d8uublseqsk9+otDzUcfMb+GixC3f09N/jyHqSsT1EOhXChfd0U9PX+\nOOkvw+X+o9vzm+gfLtefNPVSzjNTZXGLlJakG1CFKCYkPRWXaZ4TifxCiKicLcBx++44DeNm\nWf5ejp1HzNdmiFlWhjFYDCvCf0M4RDOFSoVKbdMeWUNAMomLCJNlVCTgNMN3ptjY2CvNCtLx\niT1n0VdkbHbwVgBBuqND/rPoX9hprLm/3klgE7DIsg/5+gEALl4xIXyrTgIG6WTC4eAlkuAA\n2pW5yVowCR8D1gAPZZ4o0Ww5J2MFPNYhgwDevWPP1uIJh5MWD5KB89adnb9vb29tOnV4Xh/O\nfwu5YPZOTKzDM6twfOzAhZvHaM/c3X7L03kAevOz8pF22/KbZNm2PInROyJWZNndhXhjJa55\n9sLz9s7vD5GUGb+05sgF1XW37/C2HZ74TP3FPlMBEC7K9qS5i8ORXsfJjaMBAJ8Cfm5f1mIz\nTQgpHF4U7LtajczM0kpWSOHQ3YSEnc77ARDS68u71e//EzfTng0LK4sQhar6TU37gtP5H0xK\nmDc5nx4OP4xEGO5ZwBuZ1QEAXmA8511D6zrnuhAmAEJY7sQ9wxgUBndbLULFzzzs17NnuqXT\nM4Tah81myyjdb6kYTKBrZktU6Fl6Lwk/hUZgRqtmydBEEN97cQXpBI0URctQaC5+ws2PIyVW\nPT3BPSFGgbkjz9yvkwIBSRJ+p2gDBAg10ZmsBTNwN7ABGXGKpfq7btECQqO5n2SR5+QpWqpd\nnmt72fhkpiIs1CvzjZQg6PglR6+CEuKUbIIrBDnWOt9MNaEZEtYsp2sCH8/DG7OwU4IJgAhM\nOoSLX4XXNtdhOlzhnHYKozh2/rF1310XyY+owg2/RWqhGCTbNVmFhTU0ht04y/bcgam4/MXe\nAv3Vi0EEqpow5SBkHQ5Kf3xW96ldI6NaEIC3JRtNaiDl7DigELBjApplebSv+w5DH2IwTxzh\n0N0Ox6OEhIRwBQP/k6EFs0EITzj8S5f7FGO7okdU9atIIaP4JPArWDPR3wY4gczHzMn51aa5\nCPACjYy9SOnm+DlCCOe6rgeiWrD/oCTLngS5eSKVkp2NNPeETcnIxe3TtrIVcjFX/ittpMPz\niw8lJPg1FFkqY4Zg9rwQmeBw9rGzeNKLyqEEaY1BfHnmngGrU0RcPL48ij1zfWydwETgeqAa\nCAAbgaeR8CLZC8wHfg5cGCXyYKK1XNtdYlgwlyYjwrKko7OgWXGb2SgiB8DhGrPNOtH8wvXS\nT+despqtKEOr+2Vt5/5HPeHBTQ07SqANJkX52u+tBQBB8NM5tlzbVdYeRjWHUWjPQNcJWwZX\nmAw9BadGtp/q10GrV+DapzHmBEYqjiop4fBZerC04FhBzzhrI/zhV5JnEzJwN/BDq4JO4E5L\nCaevBQEI4TKMWbK8KRz6nGFkTUxsDUnX7mGuaCCjbJqLU89OBO4H7sjIx7QE+BEASlOs1kLU\nqOojQiRYeEzzk4w9LcufA3QAQpia1pc2iAth6LpflvOHAwrPLIadcT+UINAVYREMQGA4ufVo\nmFlWJ0UhOjZEx/vpVG4xXYVKKjSSyWZJVFLex2p72Sw/nWzYMJEG6SpgL/Ad4KPAp4BHgP1A\nchb2Q8ClQBFwFkF1deRnRcZ7OXQ7i76xOGWSLFniAIALoZk2dsN6W2d9VxiVzdAgn2r0he8p\nGawWBNCWLb+sPYjA/HetT0WZYzJQ1oYrn88m0pLwM4FUo2rAi7/fhJ4CAKDJ2lXgoi9eRKwy\nNR59c/yhF9I2Nr8LXJ5WjBAGPAQMHCBxOhC8AGCqOgBdgB1Mc15Mjsi3WkXcCmwFbgbGA+XA\nYuB3wFuAB4AkPZVU0qGqjyZrwX751xpGjMHVMIKWj7QQ3DQHt+UxjAFhmWsmC4ZmER0MK90Q\n5XxQBtUhBdTbGxYGUz17iL2MPioMnRSYcAGEwJTgd4h2Aq2/vG11TjwBWmPHMpoMlVY4zX6z\nGqEczm52tk4Sy6w+TPfyI4XGzv6LjVJ1TzbI2RnCxgOvAlOB5HCrPmBflbZKEWUgICLd+prE\nRcABuMy2ILNepQH7Mg85uKfBta9XboUwPWZBZWSiz4j5XMZtRJ2hUKXPSp3bLbwAAJ5QB/An\nFP2i85xfmpywzASDaTBkSAlDcXuhlDWVqz0Wb0R7KfYlTylAicmvfRoFSQsygeLDxXMP+efs\n0ewtpgBQgZZjSB+RY3BGUmQCADQF7yzEJa8AZsroMen5SatuXPXqb14NlsWcJwUne/8+/eXP\nXJJh61KA54EnFMdPRiN0q/nx+XSeQ/bsM0v+GMGubJ09XRDWyUW5ENZ5fQeEEN5Y7jPSB5iw\nCCuaBTycWVGSHqB0S5wN1TSuEmKsZROGcYck/RwIZCEd5Tx+Kt2NlQxssRyUjdS2+iAT3GdU\nz8FcmdX6eoZtpMOm0Q8xGEKS8ANEgFJ7WrI0CEgBOtlyCZgJMyXgj3SzuTpJ29gjAVrDWCTP\n3B8/0ktrYY2RwG0Ev1V4hU47qVDcfHyxvsxj4b9njTJ9+zFbRfhA5qEmx0GdJtwl6z3bJwbm\nVwdTNqLaAgGvovgyYp5LT7izZBz4w6e631nIf36v2fn3m9b/9p5lnQPlfQfw6MdQ3Aki0Fam\nVu7BslxWwBmgHKuewfS90vazytZNlQyMasDZ21jbttm7P87ap7ZTnY7YOmLe7+aV7y7HDU9m\nRCPGsLG++qm6mnJvsMnwlZxvEmHlhDNnB6wycUR9fFp7WBoF9bQnp016YdLxpcdfmLn5FTTv\nePzOnuN2pmkCfOSjysT7gtOc3AEAGpYAdwH/Sczv9eqkd/IAACAASURBVHeGsYBpDipJYzYQ\n4pek904nZRIhLf2DqcbYu6Zp5WQEULpHiNHRzE2UHpSk+yTp6eQCnGfZ6nZwPoPSTUOb9w9j\naBhWhP8GEMQ+nDwTKinNUQsiybUEQIRUZGjBGPrYFJ/5frQbOskzs0V3LPGaG0ZotyElDVOs\n/wKEEwcTtp7+pdoOPxvTIad7DxI8JPC3jIMsWQsCEBCHvFtcpq8qkshRzoWo7+qqob5R4cqu\nsX7CScWuivm/me95Z/zfPmrdDU8Q566vWbr2Gx+//1PLrnz+6+7wupJ2R3bzgaRj0iG8fEn0\nL7nHOs4hV0ysw/i6O+66F/7YWrbgpYkTX8pIsLRhCSYeAstQZibb9+YFv26uALDwS5tXXvUC\nXrgi3SF1wpEEz1squorw1+tcvWPWX/+rgor3UuJnpIhUvqbitdBrPUoPCS8EFltKAFAL3O+f\nKafuzhDgu4LV0cjfuRPAGdSCANyeXxASIaSNkL6hLQpleXX8u6L8JBx+KnMIJaTN6byJkF7O\ni4EQIYFMvSWEraMyAMADEESXntYY3iA8w5Byu6Nn2CJq1eiZmeOcpl/rkAyhWcpksZHmEmKf\n2RaxO5J5yi4w38AghgBZ9MY3ku3y/QIQkHRS7BDtBETYpYGI9aC4XF+VnIZJI4URWq6SwgAb\nFaGlAhKFnmfUV2nrnbyDJEyjsW7UhJ4pkI+0KnNDrBIQXrOpSt3s5GuOuCr8UixCQ+Fuj1nc\nLVtzodV7doyITIwHHda0Oz6zPm9slwz4OQUxKdk+EqunQkd1vfVG4YrVsZXSiM7ix/7yibnA\nFdX1f7ny+RF5FiRbCdTuxSsXR1kW5VCucxE7uMLAxDrsmGN5VjBxfOnxtto2uM6qKto3qiXJ\nYKA68NxVxc0VACgTC7+yCeVBVLTg3floGBWjA52+FzP22GVcNBmOTw1javj+Wx5Y+u1l5/0w\n4cja4ej+2uwfdSm9ABkz5deG5vN3W3ulfhGQbXwUvsydf8/tJuQMrijrGW0JBb8sRD5jJwxj\n+mBFUNqsKP3ZJwiYtNPp+pQa+V8hipPKHHI47iakBwClUYNCwkM88TCTxiwNEXIKAKVylLzb\nqif2D0+qX3ou5sqs/J85eJbGbaTxoqebaymL5EHJGUTh4RXh/3cQJEskWjoipJLRoIs3AuAk\n29jNiRJ9uhiyUXV7zRKpP9m3SZxN8go/G58uCnKPNLlPqp4QfjzPOJ55BaX6e6X6e6zfrZwK\nE6ic5f+YQXrDtFcWTq9RsCP/Sbs++KUunagOIQOY0CH/4KVChxF7QygHiIm521DUiUc/dt2T\n5KXLsK828QY5VKxYjbOSjJpzgHnAG/XV43/1+R+vWPPFBZvT24vDFYEnhIAHAFMH8StYQnVA\nq+yynHScWnDq2Uef7a5OOLOUH/at+vWI0gYnmiuxrxYhtwCWAovHd0vlQQAoa8PlLw66E1Ss\n/e+33j5QOum5yRFgl6vt7fHPugsORe30TApVz/h6Y/2d7acsyLIXsgBsFnwzAQdgTwAwBFBN\nW6ppS4dcn7GdLtfn02LqJelN5l5kmudzXgPolL3H2CaIgc0zjL1kGPdYTqcJOULI+wAkya1p\nulUAw3Cg/ZnHsCL8/w5U6GbOK1+TOPtIrQmXlx9hIpJlIcxEmEP2s5oIqSQwhM2jlWfG5sIC\n9KRyVZhaZzoFwCEfd1w+3bgvd8Ovg/sU7u2Sj7V49oay5qw3qObgMoBrD/p2ziVBD3x+TDiC\n4vhAV30UUw849k9b8F7Ltpuerdwxc+7ahYU9GH8Ujgwm0bOAdwHNZPe+tvLG6bsrPLZTAWGy\n6C08/RWhpuDAop4xB7u7x3VLEalyZ2VUZuu01odXP6x7U/aMW2v8f/1Ww10z74oH/C0Ergda\nvNr99k1QnXI5q08pAODUV975/nOTASBchv13FXdPHjvlZ/3TeTGi+n6X52jT0dsNPWZXJ0Qv\nKn/O13WunSIkgHuoilBxbNHUBTkWJsQvhJMQlbGDlNUREiYkQOkB05xp6Ms4ryQkwNh+RbmP\nsT3oX5Fwrqtaj2moQpiUSow1KYoPg6HDpnS3JD1kGLdlnNFl+csABwilkqLk6bo/OUMhIUxR\nfMPe/mcclqPVaVop09ezuRQeVJmh2j8z5Zwpd9YBS2aYPTPMEVYW0XTbJofC4RSEUqExhAhM\nkpAcLxvn0UuXE/0io1e3zbhrnXIgSMe7RKtDtAVsvNuZCBMimqWLsqeq8PITHt4QZdDvY5Oy\naMEoNFoQkMbkmccAWGZfSjui0sA+z3N9UjOyggrm4B4R8EyqlFdfl1BIRGDODlz8aszsuevG\nx7577l7fhEph0HnrRi98x1Zg8uLu1bqJt82y8YIxKenPbjHy3TMQGPfmHUeDX/t19Lsckuf9\ndt6y7yzb8O0NaVowimB5cNNXN11474UABBBtPq8hj3AibFxea16p8Y/wN509QEBO1dxGQhJm\nq86mpb7CXcWVawBEH6eiijfzitaG+qZqagWlPS7vPknuPRWsGaFZPwDdwNBYARVlh6Za24ot\nIYQvL/8yxuqQFMcthJDlt+D8ORJH+lURgWGEw6H2+LPHucG53zDCDsdCShVKj9iTSCRACFGU\nbxHSaBj3iH4DCSEPEvJVTeuIFqDUIUkeh6PINDUhDIBQytKMotkS0BOCJLOslY00s0r//xbu\nmoOIvh9kPvosyCJ54MKDkszo974z+P7lhA9uP/dMSR6UnDOyfZhF9VqN73EIAaaSMo0UmsRl\nwmkQj07yCTjrD1HPoh7SvkgIGySPZ+zkESuixfhJCs0tTpnEYxk4WMy3d7GzTWLrAkBgFhr7\ny/WNBCIauNYpzVGpBaV1Gry8ySm62uQ5zcqidmVWHxtLYbp4d/J1UUS3Q8Ru3xN+yZ5DJYpj\n4/D5Xx2+59PTZ+qj5qSyRxI0VSHiQs0RbJuLN28QZTUjin2+4jxPT033jBemO3utTVI/TWKZ\nPNlXcOfZO6yfASrgCuPQJAB5jXknlp7oGXtaNLC6OxEYwWXesKihbVrb0QuPmg7rNXSkIDLv\nd/OSf2Y5JJ8490TPeOturPzKyiXfOLfi1aopb08+eoGtWELFxh8v4Wbi4TEMX0nVmwAEj4+p\nuuJscXmPyI6TlKkAFENe2mtN2v4IMHgrLSjrcHueVNWlg6rFpMOStNfmpKTrF2naTbp+JefT\nCOkxzRPhcIfVUMsNo1zX1+v6HYDC2Da7xBdJEIxtk6T7GXtdkl6g9D9M868iicVQCINzlTEH\npRKlcj/v9jA+EAzf2Q8HIqTMTA/7Iyop0WEdz54VwsfrFJHCfMgQdvNsbNHRjEv55h4PP5bs\nSspEpNjcCsAgtg5+5caGcepjpcaWZCOnYZ/CKRka8e1139XgWNEtTepl49vlWQfdNx9y3ZCZ\nGapLrvezgbTgrlmYvVM88rHy0er0m6yHv21z8dxVeOUSRLwxewkhRJsQuX/H/V0TLOgiDwMb\nk1torjjitp+T1u6Ph6hf+5FrK2xSGg0Z71/9vuqztSkGygObxx/akpei9i7+/MWOXguGz6lP\nT5340kSX7vz2pJ890fkqPW67jeJvzDNStzwjgYHZy54ufnOjZKGAjwPfHrByPwjRAFDW6fY+\nWVJ6g6ZGM+52Al8FJgIuYATwMWC/nQTBrd8gTfP09c0OhZo0bb2uG6p6bTDoD4fb7RccW4E9\nQng07V5V/X0uM2chhGkGON/M+Wu6fsKqANf1rO5XwzhDSH64T9PN8rSslLk1MRQMrfqZdh8d\nxKlMh1ITnswFXBQqKZGFP1kSsf+SVMb0iqNcnDKJC6BMRGTRq5FsbGREcAJKgHx+KJ8f1kgh\nhywJvyK6CXgfs0gTmFyXwUjjLM0SI5GMdnl2psrslKeeECurw6/0X44A0CvZ5suNgVPc8nCU\nFmXcctsMGIJgt5WfY7g4/MrvXvnYhR9LPugHbk4NjPeNapcVA3ZbgIoGnz/aB0+r55MLPrn/\nhv2HLzn8bmmwOSxXX3KYDBiYfxpod3X86lM/+cYD96Iv8VuX7i+9fdHtr/zmlePLjkePyCF5\n5l9nXvjFWJ6HsxtmrB//bsW+ovEzMmmGAGDfExnkdoQDJBwY23byopC/hptuJnfnFzS4XFIw\nKBtGh7dga2/H4pVGwX8BnwKicygDeBr4ItCW2+VQGqgYuYJzEVWHggvOi4FjwHlA/GFoAv4G\nPAM8mUlnA4DStvS3UJjBYJthBIE4v+CfAS8wIJPsfmAGAMNYSMgkQrYTQhlzxFdycYNelD7N\nNNUBR0LOdSE4SXdwi5sK+/087WykGeTGudlIM2vBtrD9qdzy0Q/FxTRr0P1QbKTDzjIfAmRZ\nPAlIHMpgyUWjoNAkkeBqkkXAbo8QgIxEBj4KzSlaAZD+QEDLzL2JTlr5qXp4o5+Ny95DRfRp\nxDrYo0WZOzbyJhOJCzdINs1aqFd17xoZJ2RxZc2WYIf6FfUnZ54atXsEEUQAJ4HPAMmMZ4Tx\nBd96wlSzvoFJhCxMYzMemTHjkRnlwDzg8TUPHzv/2BA6liOO0MNOlPR6+9KOl+4v/fj5H99+\n1/Z1310XqAjobn3b3dvqLqm74OsX1D5W+7mNt+8cse/wP9zy2FGjFqbPNjreL1n/g3PTDrq8\nJ9pPXdJw6E4hGIDRo3HBBSNHjZoe3UpsbMSaNdd1twsAXwa+AUwGZKAulXMoCdaPpezYAxAI\nSdOmCyExdsw0S4GPJmnBOCLALcARpBGrEk2SN6QVDYXaDSMzs2AufOrRTv4K+JauJ8pLksfh\nyItfgmlGVLUn98WAEGaGIhzGGcawafRDgWw/U3YllDsIDKewnoszRFy8NUtdSWQbJvrXrCko\nMA85siZKVESf275RDimYmgrRYWPjioKA4v3EsjXYOqRIbQJJolGmfwKMAZ4Broh3YFTz8t/+\nfsSSfScL7N0ldDlzABRELAYU4JyfW++ZnRFw8LXyOgA7J1oQqe+4c8fLv385UJH4HXvH9D7z\n92e237Xdp3rPO7pAC7ofWXnzll8u0AIx44Shsl0PzvzL4k9EetK3TvMKd588dFdUC06ahFtv\nxejRsVk8IRg5ErfcgtramGLQgD3AjgwtyKQut/ft8hFfLK38HiEWt1QNL2xueKu16e3Otj92\ntf++veU10wwA62xuQA/wVNoht+s3lHYkH+GmlqzDBompwG+BL6RpTcMIqmrsUedcV9XuYWqY\n/2uQcvlJslr/zoxFdJAh9rm4nAwCubeeiyl4UIbQLKeSDJrZNt4pOAGxcB/NEDlgrL2XH+dU\n0UgKBxWDWmjuIRBWJtaYhvaI5m7MsFTJsgi4eAdBwmESghFwAnOM+mKDcmGYJvNPCyY0h+gp\nMI6UGTtPKCuzXDgnSn+XCIBifeJx50a3Lvs0R7czrCWxRTu4R+HOZLawI69XC04s7ZAi5Uoz\nLufGR7DEgZOj8c45aK50AA97gvN+9MPi0cbE6gBhHCBvVYfPO+axtnHKOu58AA/eFs8dKKiI\nc1XXvFyz4L7ZWz69M8tVZ4PJ0FyJiBPeAMpb08Lhe9ATNAMAead2+0XvLp90MuEAHC4Kv/Ez\n61x6q3+yetpT08Z1jXaU79GC8mtfvHD1f1xQMqkTRHQdKdKtLMDlo18NB8bGeANkXH45aMZE\njhBcdhmOHEEkIxYlcTVGUSiwzDSLSyv+s2LUze1NvzKMdC9TIdJ0sJ3bSxTJbLTc5f6t0/0n\npHo2mqZ9hwbAAmACYJ0kyzDCsuyhVB7Cnh+lUnQOYZXOPouNNBXZPEJtxSZspP1HsvQhq5z4\n/1n6OaQwfJJxIqcepmPYNPohABNh3cYhk0Ifml3UEgS8kO8LkZERUsIhMagO0enmp+hA9NBM\nRIrMvZ0sk/mMlxvvRN8iPx3bxWojtESAKqIv3zxSqm+vVp8O0hFhWs4hOURPgXkkaq2Nsq8p\nojezrTicPCVScOmxyvu2fXZOYyETNCzpL088/I3law4XdQKYEjw/wNpw1u544a4jRe/+Zt6C\nz1tkcmgzOssla+JQh4qiUAT5EUzfi2n78cIVeO+s/KDnG121b1+4nvRr3sZ8469zem/ZkceE\nlULN8/OrnqMP3tZd2L397O0rVq9IPnnhusjoEmydh8YR4BSKinC2gJQkbFmA9eci3G9FL+jB\nyjeSiUYnvj5xx5d3cp28N37/L66//9ZXb5i/f3Z0YKq/sF7zWj9Fmlfb8I0N9E/M5W3zFjYE\nukeZGmvdm547g0lhSnW371j5mFcLy7fsXndf9Pj48fDarL2dTtTUYG92zQWo4RmNxx+T5KZM\nLWiFbJN2QsJAiBC/rLzrcv8kbS0YRXLQ3mBQBTwCvAqkm53jMAxVUWTTHNzbmrzFOIwPDsOK\n8EMACSEG1bRK3u0UFi/zkGEQj59UG/1K14SLgLvQnEueBB8/yhDuoVP6nW6Ei7eVmLtcvA1A\nhzSniyVcKjSS1y7N9tPR47TnPLwxz4w5rKZp3CLjUKs8z7I5r9nsSkr5fcl+9uU3KenfAXIZ\n8rUHpq6sr77o5qcieVPLtZoIKTk6/WG+ZAM2xObs6/9zadm0jnHnH42vC7kQ7f5Qb4iWlglK\nLYbUeVuTshJRjstfxMlR6CoacaQyP0LPr3PXtMtOg7R7zG2j1DdrIhfWWW/u0jEnzzo5es+o\nhs/+5rPL315+5OIjp+afMh1mcX3+lDHvTzmY0F+t5XjgTnCrkdDh56qv/8Rb58evK4aeAjx5\nPVY9g9p9AJjKbvjCDSXvlwCYeaj26g0Xf/POHz2y9KkpDTVt25c3ju4dbdlRAMDmezc7p3uK\n9nqmq3/d8uTXBU9f9xeW7Zyy4L8BYeoxLcJ5bGApzEpwXTRw+AwACCHr2sBuqAAsc1LG4fG+\n6nDO7ZfJAQjhMLT5Jh9DSJixnYwdzsZeZg0GfAb4FvAkcG+Wcv0qdhAmK0olWR6CW/gwBo2E\nIjxz8e+2tU67iSxyBmFHtTKfDsXOaS9t4Lok81tGqH1yEZdoj5AiA+6kg9wpOmRk7ur3WzMS\nxpBMP9L0tghgwtVDp6WZN1VS1CXNLjW3EZiwkJMiyc1bvOYpkzhNKIoI9C9VSYiWJ2vBOCK0\npE1aUKVvRL/VNKmrFICHt1Xo21vk9IxOVGgTIi/HDbMlQfG5tSzzvuWpjr//48bP3KgKCI9Z\nVOtfvveRW8Syt3Bs3KiFDTc8+4S3PHH3BERPSO0IRACc6vKPKPKyVIve1ANYuja1AWZi1ntY\nc36hu+eHL5V49Fj58V2Y3+DqdGcjxBkVce0BRLm4b999nZMS4Yyva7jkFYw5geNjEXIjvxcX\nvY7XV6YTYs/aBVeYvhNNftBVhE2LrJt59WJMfl+J0KtvvjqqBaPID+T96A/f/MS9X2wpaj8S\n8TiD47MoQgCRFcFpK0ZNE+a0O3/4zK23dJ+MqSVCzYpxa8ZMfij6V/yBcrhbtEgZALtUj1EY\nQ8pDlRWTgSVAuv8LAEKYw1mQvHGgacuCgf/kPOE+I8ub3e4vENKS87qQAA8CNwMPA/cMUJTQ\nrLnXE/0EBCGMMYckuQCSNO5l+l4OGMyeUZJkSMuhV0mjyunZSOMnstlyh2QjTUjuPzEYG+nw\nivDDAQLuEh0czIRTgDDoDKGhbYjaIUBHWW7yGXAHyCifOJ6jHCYiDJHktV0fnWBXuIdNrNTt\nKVuAkdrL3ewFld4NVAIABLBOEt+kYnbcA/C8w9RhM6SO7WSOvrn7y30+o3mEKnnzi+u3XBN+\n+Jqb7mSuvBT/CwJS5HGqhtkVjAQj2rHW3ovfPkeviugFoSLWNm0/Jh1KF95ZjL2fPtBxdzup\nOWQ20hl74EzaYCoOZXNiMgl3weW72tcppwT1awqeSyXmlHXM2wpDQuMIGBLK2nDWbkw4gm3x\nTD6HJlmvGQGE3Dg5unZNweTn0uNbfCHvqo2XPrXkxdEz3tmzKUtWoCQQjFzGP7H2Dxs+xwJd\nZYSEfEWHZUefqaWrjeKKtf6uGQCaspLSZD87VDwEnAuksVpLvvwqSpngsa7q+gJ/32/S3NB0\n/Ry//1mna244ZEdOJCNBHFMJ/BS4CeDA1wfsVi5GTkplhyO+TB52qPnnYVgRfphAoUfzDmZ3\nnxka0nxkkqGSktwVYRwCRIBRGBq1Y3SDSRSDeJKjINJw1PGMSvcC/w3UAF7gBNChURxwvz/X\n/2kKBmBkNlZROIKT69y1ABy8b6b/8fmoqLg75PJYc8SUeF3dQRUQCNHrb71W0hmqmnDnHzNL\nblyMt86HIJ1AJ4B9M7DuPFz3FMYez9aZKASwv0ydh3kO2cLcnQZdxuZzsPINXPg6tp+N/dPw\n/JVQNFQ2gxqUSxx9WdOJ9Obv+8i+Sz57SSbN96L9855a8qLiCo4e99TRN8aNX5lT5IZvnLN8\naV7fU4rb1yA7rLfEiivf6m5b2NtxdlMTTpzAGCu7ZnMzTlgEkZ8+xgO7gB8BzwPHgWJKp+cX\nNkpSis0zGPiWpTM25yN07VzgCRvhXuARIACMAOYhFt27HxhQpRPGFACMOe38cQhhDsfQcyUO\n43RASbJFIx0i4zMwSOIj+j9DaWKQcjK7kV4rS/WsbaV0LIu0pLqxT+bVWdU6rU9WOaT/k3kk\n/SOILOyDNEyiWFaPC04cJIQQEmIjT8kr65UbjirXHVWuTbboWtx8IghoxocQEJ30dElRTz8O\nHAJ2ALE90Qjt6lTej7ZpWJhFE7ju8dhsT6V52/I+0SeN8sm2+0AyozJjAMnv8Ek6A4CuIpjp\nd2ZfLdYsR5orTMiNx24cQCtF8UpNTUPezePs8sJbYe1SPHgbXrsIDaMQ8KKrCPun9Zu5lKz+\nFw5V82ld1RacOIXB/OjPVzyqrmvNe92Hc+L6AVA0q/j9d+/a+eZPdr/9g0igIvPRI1RMmPnD\nqvGPg+jPPIP2jATHXV148knwMz+di6IU+DlQD5iMHSws8iW0ICEghItS00zPeRKHYWS5n93A\naOAGYDESHBe57NML01QBoij5catgMgihTmcxITTx0lq80PH/4y+ghaTYT5AuJL1AUtMxZClj\nJz95FBgarFrPpRsDl7HqoW3hYX+kYQAAhZllohP14RRgEVIapCNDpNLScyeKLjathZ0TIcXR\nB84griyEAJKISMI2V0OQNQDCpzm+v3bZ/vs+E/jhN5p+9qXHn752dnMlAD+LTcPrrQlPYrjm\nvvI7+3PXcyK977nQyg8mgegrGfb1T9sjThycklZmfXoEeQyagi2pmQ80lr4OqysuvuOKK4Dz\nXchV8UQlN45IP8iZAIAx9gsrIjCqAYBlEglP2H3ZuzGfVUZ6Gh49zI2cVJNvRGwh2Nc5ac/6\n7xmahUMHIWZV9WOVYx/r68MDD+CVV3DkCJqbUV+P11/HH/6A7qzr+DMF0yzu6nzcNFLI4pP3\nBa2QnWwhM8ow3YfWEtHkgpRKTmcJpSmmOEqVqBbMRc4wPggMm0aHEYVQhN+OxsWB7iAZ0ceq\neeKBET5+stDcn2akjZCibpquNrKgyDyYZaeTw6gIeNc+dOukzpijh0dXbthfe83BKR+/+rl1\nE2MbgxsmiNs3oSRopd/qatBd+PUf4YE7YwfalRpDs21RQBicAwjmhU9OaRp9sAoAXrsYlc0o\nji2qIk6026vehlHJ0rDy5ptv27Vr2fHjeap6Mj//2SlTfn7OOX5FAYoCCJQjl5CAgTDuGEae\nwimrdBYz34PPzzRWeNTC5kYEue2NGxinz855FYCpmh1bgmWLB3ZTVJPIx9VQcWP9FWOm/M2q\nIOlqOR+ArmPrVmzdOpBcYrhcB8Oh2hwXGIx1uL0vcu4K+j+SpZgQzt7enxUVJ7ZeKbVjcjgB\n/B6wSR4SQ6Zf0VRgDDCAnTfuFUKp4nKVmabGuQ4gSqg9vCP4r8UQuUatntOhRNZnfd5zifQf\nhP+nVaNDD/DP5U3NLJOlVi6FyWBOCdB+LTVwswTEK051kSmZhSkMJrQeOimtop+O4UQuNXcB\nCW/PAB2EuQ+Al7eSRD+T+0MBOHnpT1++NK4F45A5+9MLV1x4x17ioAAiivj+ZfjlIw6mpLKs\ntZXh+SsBjD2OqiY0VaEQ3VeQF/MdtvO/kGpyTigogGe+8PoXP3UbAAQ8+OOdOHc9avchr0+T\nGOxTJKpJS+W1Y8auGzNmneUWGZoP43C1TVqrwYEI3PAEHrsRTVUpxye/j0teATDl2SmK35qr\nFsD1b636rwNz+pyhoqp6NbTOVRXxjR8g7+uJDQllIDmNURfmzbh+tJzHwm1a29a+ts29BCTU\nV33swGcjoUFkmyqt/ENB8bOhwJym4z8QYuDdU0JD+YV/EJwb2kRVnZ2lpGlUC15KaSxxBKOt\nIBpE2j15EbhpICq1c4CUhTmlDYS0Unqurj+Svbdpq0DGFMaU+KgiMkJOs/lnxj0/E9HxSe99\nUuEkIdYFko8MzFya2sGMzvRXHxKhaJJ1dFCOqTmUIRklMu7GENMwDdkifGblDK360HTYGRGS\nVSMNHOaRmVkJGUdMOIOkMkgqI6Q0Qoo4cUoiEk37YJeYKfqFQHA4DOJK7iaDWsz399CJljuI\nOvG5RLuESFyT9bJEGGIu4EQuMOvj1eNfopmVKoJ5n92R11MIIuBI3biROVOdhfur5GjhDh/O\n/cGNhS15YAZMCS0VeHcBXroMkdiYfv9d0IoDn8SfK2BL22Zycao7ZHIRfbUba1rDeaHaTRMp\npzAk1Fdj8znYuFh6e8mmr2wSkvU7WdWMGXsBoCvsWlV7Q8cEu/3RX7XipTmYo9jQqQ8OiobZ\nu1DeClcYBT2orsfyNVi8CZRHwpF59y4YeTzDrtoPSZCN/sJt3WUdJyef2L2ENxyQaQt1ECVP\nsrTVcZM8c+O1ap8DQOG4nk9seHDGLe97xzjdFUpetavy3ILCWu/xNzz73/mhFslqs86AGp4Q\nDs5WHA1FZfcDRHAXiCAwRbrG6u8Jz3e6N5n6Bvne9QAAIABJREFUiFDoIs7tKOMNoBkQsnJQ\nko7F3xfTmGSaybOQk8AyWAQjJcMDPAkkZhuUnvB6z1OUp2T5JCGSYUj26YQpgGgiX5v9sGH8\nKzFsGv23ggZfkFTENZkAU5GvUW8+PxbPXGhdkeT3kAk89Xlwiq5CftAgHm7/nIRJWZwy1IQy\n2MlJgFR0sUles8kpUraMCDBG1iYXRv5wd+zIyFO46DWMSPKKr2lPWbg0lqrjX1gOLM9sRf9/\n7L13fBzVuT7+nCk727VadUuyJdtyk3s3uIDBBmyaMb0lQEIIgfSElJvK/aaQhMsNBAih92KD\nTXEMBoN7wQX3JluS1bu27047vz92tXVmtLKddn96Pv5Yu6fNmdmZec/7nLfwaB6CBdjk1Ivq\nDAAIinJETlH11t65wd5jW/bnSxJFMsfKGPX+qCPLj6T3BwCMPQIRzEtlBbvHsUurXlhMTQ2k\nbDvmtCA5Mup+4Ol5mGfDABYN/YBQJLviAyE1dLqnMfCJ0nDlc1JInrtDN5BpSd8HKWLdufob\nNtdPAqd7xnyrRLMxw9LC8e2eBifD0htXvZ4/Jt1UJG+ifezXq/auyzIiTgKK7A74ZgZ8M+3O\n9UVlDwLo6bi+u/Nugy7tzc/rV7YAPwZWRpU8vy+fUosgxMh/u+PnkjRDVeOM8V8B3b1qAMBs\n4C9Ait7Jm1YmPvM2Udysqq8DD2oRBqqihBQlJEl+szkvTTvMBKXR9hKgEsKyrHngnv6DGACM\nYo2eJW+ZNM6ZsKZa0xiQ17xBrzNxsSc65VpH7L/q3JUkuE0VbJAUZbaiYP1MmUutIRq9AECB\nqYdUZToRhok7RIqNQ7hJsAOMh6nyMJVZphhMhkKEBn4+eOQo9QXKQVDC0ZBN7RgrBCq4lMV1\nYxme/zJuewlD+9Imxg3nov9vuurIvHfHaR7l75chYMNoHDWejN3MCRwnykriQhHkdGnsmS16\nYFH9gvpgfvqrs3Vb6Z3fuWz6sx+Vzz8d3/1zo3sCDr6HK/YiGoLufeArOTCfDx0v+LOG50Sg\ne0NIEVUWOXaRUoKN8zcaCMLkNYjgUobfWV4yWzdUGIBhC+pO/H3kyEtriiZqq9dVV7e4Knp7\n64wSexnA711o7j4mRsq8PRqJk7JDHXB+sleDonR6PbBaC2z2IkrtAf8PVTV5R3xXfwMuTpOC\nHLfTLDwdp+8IASF+4BfApcAPgM2a7wpKlUik22IpTHtOk4nQaGDuZKd+WQ5xnCUpykw62aef\nZanvST8jjhRGyZsSc49Pou97JsWa0TgLknOAzvsDaJMRdmDQavT/ECTY9VwgZJjl9Ly+CYRI\noV4KCx9TxkA/lwIQYErqucVd7LgzkILJ8LDDakxLa4QlR83LWy1LhnEaFJPM4f3LE1/r81Je\nJZ8tO/T5xScye3Xl4Xt/AgEchuogAAJiM6VfB5XVMKTMPZl759w7Kz6tiJcoIrvryenPXXJ7\nyf0HyuenpzhmoF5FV29/7XfdD/2q8eFtK9+4/Kr2Rew5ShuSBgraVFVvv5OW3GUvuTLHNcFK\nGLJp3ma99mpSvgaGU29Z84qxFARgdoUBlM3RTQBJCMpmNenVZoOejlvOQgoCuF/Tty8Y7JCl\niKf3iXB4GVKuf7/ZMf/IMLGQCgzTZDY/bLN9Ka0Xx30MAJgFbAQO6K2NVVWWZV16hlI1TQpG\nIcshreRQgzg3GKRG/+9AIUa7TQoReKr9IEn6BJ0CgaVhAtXAy/Bc5YGKYzSp0X6FAB0FaC9E\nYTtEDuvGprSiDL3njaM3/m7kvY8TW9+JrluE7zwaYoZsne2pU50q09/2zJLn5zdR76Zrd9K+\n1ejpcdq+0nnH8r608EsPbPtVoNznbXCvWPrtULeVE5Qpd+7VHprAOyySexy5MF1ztNxVXLYp\nK6v7FLTW2MscVC4KMDIzZNcQ3xCfZ2h6XHIKOg7jwAACUAZbmeAYK+zp2fLOsneWvbMsc8yn\ngLjcnnDTwSHT9IKqJOBrcgLgrforJEpGFjlm3IG8PMgyGhuxYwcaGgCA43vdhX9XZIcsm/3e\nGYqkHWxBUbLwx9RFF/B3vbpAIFeS0qPDAyP08zdFEbTZFhEmB2AICUArLJnJ9IIkXaOqVQCA\nEwYaiaqK0HGekeWQXoA3WQ5ynPXcWWgMIgEuu4uajQHnmfQ6S/NRQ9L1TPjPfi1LtcoNWFnd\nEo1ZpRMMGt21Rk6esNEFJxmMaPwDNXRgYgCBesOG+esNYKWdTqXeww4LEe2UDplwwShPYa8L\n+R34n4v4dkds/tGLEGJcX+Rctuch8otfYcIBmMM4PgqtxQAsRWLp2OAnAYnPMfVzvw/bU3bF\nSxOrt47868OvUUIJyI7L91330FJHt8ZaYf8Fhzvye0gAvLt95k9Wbv7pjbkjegWHLpPcmrRL\naAudyetMVtUtxT9YZRe5MMfIjOgQN/504/5b9/tKfUQhUhslJQqbkcTVMsQ0X5p7+4u3v3Tb\nS1enBnB7AfhW0tcRl9T0OwdKcey9UQB0mU+FxWs3TXYPRV+wMJcL1dVYuxY7diC34OOioS8B\nUGW15sDTeoJwIGgETgF2YAIQ3Ug7aWDWqxPg9BbgWePDUFCWhPo+x5BkaQlCQjbbzaHQb2T5\nYhhuyQNUL7MSVXWXF5RSSlWG4TQoR91M9Blvp3TW0xBZJbhPtE6rOlcBRc+aI41D92oMUqP/\nd8DpByoDwOk/mQYRzggoC5FkkX1CD0XyHrd6okL6tEA5EE2x1C8kQ0PK4/nMfTcJa6vTX/ct\n/MSoUU/Igp0zsXF+QvC0m0ZHGHtrUNYy7E6AjbDD1w0HMG/F9DnvTokWBp2hv/zlxYgl/RIp\nnLLxuu3xryOu2L383d+NukYjr1McyQFBK2sNGuqioCKwlqF/8psYmQFg8pnm/n7u5OcnFx4s\nJD6TWihmSsEoisrySzrLlr+zfNaOWT//9c//8o2//GT0sYnAl5GyA2wrMDYYAYDdT01r/aIY\nwNFVYxRR63AbFuBkulsIIbj0UpSWBfNLVsULTebGfg9niL3AXKAcWABMAwqBBwEZhvcPpZre\n9AsBI6scANmYqxDSabF81WabKwgrDIfSpeKMb9FBd8N/EFj2lz87JwP92zpCnNvG/xSviTgS\nm88SLDIsUbPM5CgwyRohCylCcjQ5TBP8FnTpuk8QhIl2RhwL7bbRtgApPuMtQJdazyNAQB1q\nS75yxKk2drNVxl1sCI5BRohrAIAKrCgS2u0k+SyivhYNwvQAq2evT4rEY7zcE5ap08ToEaSW\nXkvLtBYQFB4qtHotm5fviraTBfnCV+eYwinvQUZlJn9avfeigz53zPPM7AwWTq51uM169vFV\nJ1DVt4lpC6CzAB0DZEc5luz9xL3mdNF2IAcglb0vb3u65orjgcIANSsso8tRE4ZMdI2fT+fn\nl+XvWLDj6SVPb7h0TfvrNyGYoulWXVZTNKFdbxA5xG1+6Px1P1xEVQIg4jGTCFe56FRKI0qw\n8lpIGjKDEOS4d3f0ro01VClhRG/3goFcgGTsBuYDJ5NKwsCnQB3wZeAR6O5t3wpcoFV+OdAL\naC9lOM4imF1ZyiFCfCzbLMsBHZKTCEKOXhwZtc/RXhOyHKZUZhh+0Afj3ELzx6AZ/2Ig+v8M\neml1H0AYUq3DxYN5ZtNLt7HhfLTHyWZWBkFHtWoNxgEBFJi9ZEiAFIRIbpDk+UiJj5RQcJm9\nGCgO2pwZj5uF6KRNOj8cISAW2pvmvdB3c0gutZYAfD+W5UYwIZgcntRCewTajy3GQVT3Qpsx\na5Z4hepFTDV6STGgBMQj0qNdYrNfDspqZutgfvDE0hNvv/z2a+++VlyfT0gs5OnSJxfaezWc\nAUwh07I/XxafACfxVz6ypPrN8XpzyOlNUQqvWo3i2gFH2+Re+RImf/EhcCXw+5fe9g8zyl2c\nBkKIG+6FWPgD/GDSSBt2zMJVq8HF1H3B7gnXa4QkjcLfav/TkO+v/6+Fqpw4h2vXjizeV5x8\n4V2HyhHUdZzIy82NXit7Tv6I0YumTy+edd4B2xm6kNyv4/b3ErBNX72zAHfpVBHgEc1aQhiO\nMwf8TT5fo9/fHIn0UtD0OL59/+Iwm/M1320872AYPq1xvJbljFecVJbDkUg3oJKUoyfmGgv6\nGyvVelXHGiaOndFY4xL0xRLODIWqeSX7PZZuY4MBM5/57Lr3f6xBY5l/aygw+Un64yRD8JKS\nHNqUKfN4hHJpbYi4RVgpWAaSQH1WdPabrSKX1vhQGiBFccsXM+3JVU9GCVUbbfeRAYQIicNC\nuzMtdErkPXX8BQa9JPCv4uab8aoLKW/5DpmtiQhEZ/vHrnRAh7siUO1KLPCzQmlnSO4MwSKT\n7/x8+Zon1qhc+sU5sfSE8wcxSezjeodvGQIdVG+KBdwhKvn6N++Y+Fl1YGWgbUpr16iuzMYf\nL8K+ybjxdbi7AYCXULpVLDnIuOwmvx0AGsvQou28F4MMeUp5/pi9z7hUtxRhLGdqqGuCaRmW\n0cq396+6Gl4naithDU7eVskdGBpsKrSWplOLlGLNfUtCvSnRXiac3+BZ96JsSaHNe8sMBTNh\nShfkTZp8p/nEvGiKxUljsPhiZft238frXFntWsXQCGzTr30L+B9gH7A+5eCEA16g1PhO/isw\nCvhDPJQ2x1lUVQ6HEytFWQ5FIh6bfYgBWaqqciTSrakPSJKPZXlOR+CxrInjLLJstIlAqRoO\n9zAMBxCG4VjWMqgfniUGRo3++/OfA+p1Nm0M2c4BVGmVJB6eIHGrWm93CpZA5RHWYjsVEwIW\n9FrRaUEvjyBAZVhlWFXCMZCT9eOkD6oAr5222miXjXbk0NN22hLNKRjdJgQhkQHayzCQy+Qd\ncW0yLowttNeEgJ8pMbBEDcC2B1O9cMrgvXB4ZVofIXWSifYRocmTj5ZYaG+jaZqm4U+JeHhY\neE9aLwq1POhsm96qOYHOsR2dYjjA9q4tfP3HD/7IFtRWWziJ++DujyiHmR9MXfLUxQBMAdOk\nlyYpJqWjukMR0mV20IaaKkzbA0aFQrChInzzHnNFPYmyptN2Y9J+7JmCjCTwMUiQhmO4FVaG\nEP0UGtliKIbuwA4qhFHchrzuwhOlztNuz8GwtZQX8hJLZCWs7vlTwZZHlyT3JQy94+MXmaIM\nncwkYftsKNor7EjOiZGzZ3BfzAVN/EwMYYaWmwtLVxw7WqiqWbrhHzC0bckFtgDvIbH+swLX\nAW8Dc/sbmQHOB74HXCeYGbu9WxJ9ipLuXEGpqsghk6Bn2koDgVZjhpPnbXrsKMeZCSGqKht7\nTlOqUCqrqqgoYYbhic728CCygYZDfXaCZ0B+5dkYnQ7A/nNAvUhGyVm3SSsfwKUwLEk/EAUx\ncP6TiZXQ3nhjvZHDcPlJYTw0DCGKnbbbaWtaLwZQYJIhsBBN8CMpxVD0Yc1V6wTi7yXDRGLX\nm1IqaIW8wYzezHT2BCRPOelSGn1MSYQ4CVQvM8TPpIefFmH6HDM+xwwCdbb4lEmN+blrDgjA\novomhN7bZ70qTb46lI5Jwfe1ejEnLkrd30qC5JBMQWaTY1OYDXYUdBTohNn2OXzbyjbO6pg/\nc82UeKHgES5+4OJ9t+/T7NLtxv6JmLoHlKC6w5SWTOfoGEg6ph4UVNBP+nEGsMFW+tKPTncG\nMWcbZm+3eG0AkXzqiSc7zcWcfYTACiTYInkOhg5vnJnWt2xWk7mqj0eVeLSUQOaQ24PcHkza\nn5Q1OAU5lzZjtYYLB4AxI5ZZLazXyGc1GcY34V5gXWpJEHgP+FGWowOs2XzMal0vy7KecqYo\noiKHWTb2hCZbY0pSwEAKRltJUsBkSvD/SU89APC8g+ftoVBXNGeFMShVRdEjCNH8FUke/snL\nPgN7yzMyDTX00M/iWNlMTAPpbTJd45MwgHEGqdF/XxgoTADULLz3Qsj1kRSujYL1kRIKxkET\n7nESrF6mLIJY3AoGsoM259CGtDvJRttstE2G0MFUK8S2EOurcUgFsxvTNmNu9OHJgacMjb1w\ntaDITI28IFhE8pSYsX4pdnWyo2p5bbuJPPkkR/v1dwaAEvGgTek6Jczp5obKxGxVe0rFgyPC\nW/XsabuHeK36Cz+VqI2WUwA+vOTDcYdTY9YQHF96/PB1h2um1kzIHW1TeIfXDkIx8iTKG2AS\nO/L4zLgzcdRVYOoecCrGdqY/gJm5lpKOOQByhFBCMx1xMuB472a8NQ4AOW+LbfoqsLGfLHBa\nDJwWAUSzzzcdPx+oBbYBQaAKOM9d1QUACotPL8TOmQnrmCHNWLTOuntMUE2PyNPInC6TTelZ\nHPvAMOzw4fjCOPFDAmMBF3TdbDQTBPqA7wMf9js0IWGb7f8JwkpKVb0kulHIciQuCFPLjX0n\nAEBR+pdw2VvEUEoVJcRx5y5i3//PMCgI/31hvLGnt1UWBwXjJ9pZfvyk0Eo7WYgAJFg7mdHJ\nQlcF5yFDFUZwqzEbRwUmCpZDkEDlELlafe4h9o/lSZE79mHSz/Hre/H4xfiYhQLgJCqfYZau\nVi/I6lSBfOW4TIQGbnZauUXtHSF+luUgAJxKy+Tg2yyNXRxWxzc5ioiiWnXWE5TCR30KkQE8\n9MOHbn715qK22MVUBOWtN946dlXMrnUURiEfb3/80q2voqQtdrjwMKNJ9kUCR6bPoZz9ExkR\nIPGwBTI9T8095q9P+Drl6GNHHkvbw0tDqCc2Fbr1/O3HRsy/+dcsl67KhAIkErwbWJG0MCpX\nxN8AwIprcXRMSuvmIXj15hH8vjfXTS+ZCJcLqormZmzbhrE/21kWMEoE2K/VDMPAbocsIxg0\nAd8DNLd1BP0wMZ8APkAjZh7DdDNMCyEek2mnILxJSEzEajnAJSNRq6qSLEeioUEp7efZzBIM\nw2eysnpQFIkbfJ2fKYwd6gfEfw6oVzbb4nqcpEb3bLjNpMZnwpH29crm0JmsaTYl6QNGpY6s\nw4aZaIikNE7/EIFNX6ckEZJjox0M4GGGajbzkyI7aZdg8TKlEizR+Vhp13n0o2eZn1hSvRIn\nYd8qXJ18LiNQ+xv2sXLS9oR8beyQfctbJk6TpNKVJfJBu9LVzE/2MiUUjIn6C+SaAqXGzwxh\nEclRWqL+jvFeTAbbmVli9IHAG1ZzLdqCMBCWWTWm5bQWt170yUWv3vzqxP0TAax7aF1cCsYR\ndKqv3YL7Houli3cYRnNz9pnN8kr63Z2bTbravVOwbU4sKaI5jPEHsXA9LH2+3hIz/K4rO6m/\nu6CZ7qeYpTuMFOQbtycsR3xdxacPzquc/CmA+H1EgX0fr0F6yo6G5l3fw/FH0qVgbFz+YHDc\nG+uB9eB5KEosE/0okYXVyPw4pG8gYrXiooswfjwEAQC6u7Ft20937Wqg9KnUhqWAE9COhw4o\nQEuaIGTYVot5hdX6LO3zqEzyeSAsZ8RFR90YKFWDwQ5JSs7f1L8mxzAcIcjMd5SUzAg8b5Ok\nQNa+g5SQTKIycbfHSg1SLGnwlv3TlUnZk+Izz4Ij1aBYDRprHDatjVaggAGMM7iE+JdBhima\nMpCDpKf8WWmvV0urYyBb4KFgZAgUDAsp019eMfxxFfAAFJhE/fhq3czw5FoKJkAKvk5WWLR8\n8zX3Sr/GrPyIzD7Zj51eAi610RVpBABKvWzJKX5BEx+LhsVCLhX3Vojb2P5U4ewRlNTuoOK2\npstCWaFdHklQLU4518v1ADhUfWjK3inzNs2bdnCa4x6HJkvpc2D/REzfBQDubhR06ObvHd0n\nRkOUWHty4U5Iv/EH03Pcp2PNkpQduLAZu6bTmhHkK8+IVDq5bvjGBxe07C0WJu2LfD5DgHAr\nbi1HueZIO343V/SnbEh21I/rE4QxtNSc6m3XiKzdXdPuXVehZyuiWqx2O/x+SEnqZevekklL\ndGNbU4pTOju2djvuugu5SamF3W4sXUpKSv767ru3A28AJwEHMA+4DbhaXxACSEzZYnndZn+C\nkL6dTq23JcdZGYZTVQ2tmhCG520AAoHWjH3E/kUXz/dvFkQIazbnhsM9WZlZDBrLnAXO0KH+\nP9H+M5vGZ1B1BjaiEswBuCOwSbCIsEZVN75vQZqsYjJQWIhSao5ADqKDtoVJjo8UhYkzQhwh\nkhMhdg4RFjIBDcPpI0VhkmswOzO8JgRkmIP6kc8UrQgdz+ArJsMw3KnnS3vh/JxWI8XIM559\nMGGz2lcVK/GyJYeFK6QkL34KxsOWhhhXkXw8rXGa+ah2Cc2sAoCAqCoy5TmGYwgAVaXeoNLe\nHVFUCsCk8g2W2EYmJbS+or55ZvMUJmEXkwZbEGP6hFx+Jw5M0NgRG3UcCzbEPjd5na5XbsXI\nGlhiawunDxGzdrZ5AKitxN+XZBaTsOXg07P+euv8Q2+M97faASjtRYuGNQgK2F38bS/e3Dy9\nWTEnFhBEJXMenmN/bULwji/GXXO0dGaTHOJ9zQ7eHBw2fjMAqsSu0snd+/w92ltx1UNudzq1\nKWBCcOgQfKlqcXeNe+o3N/OSVdNH5PPPceCA9kkvXYqKCo3ykhI0NQ3t7r4MuAW4FpgJCECt\nftTQUcCP419s9ud4/rAxh0QIYTlBjGgo+FZrEccJkhSIRIz2wjVhMjl4vh+jM0WJiKJXloOE\ngBCGYZg+UactFE0mW7/ZnQahB6MM9eeONT3HVqPZUKxnxn8atqEG5ZpH1BSEIswBpPghUJAw\n7BTEhp7McQSEBNogwqqAJ1B5RHiEPaQwTZOTIfSS8lzaECI5IR1v9GSYqZ9JkkkGyEXPXXhm\nATY44W3GEFs/yUvTMZS0RRnLOP2aGfI0k9Ks5edrErbt3Ohedl+u0kDBdHAjurlyBbxV7SmW\njtvUrmwYUaZv2Lj09YZUb0hkCDhQRQEFZWisfVVggp/z7Hduz0OeE04ffMZ5dJMDqlTW4uZX\n8cFS9PSpMqyCqXuw+KPYV48Q/sJTXtGZjyfuxYQDqKiDJYQe1yUvjs27pGvTjzd5yzMiD+yb\npHfocWPJwzxGS4gAO4HnKNlVdfz8k1XfevTr8zbPm/ebefUL6msvrA3mB111rlHvj9r+ne3B\nA48v6vsNFj746dHVozf+eIIYcgoWXziQ5+ssA1FDfl3rkmK/djSiKMSM7c9gp3XFDdfdsOJV\nEyX4YnJijUDo3i/ohx/q+RJgnHZyLQCYOBEn0jOOfAN4DNDw4wQSScg57pQgbABI5mOapu6b\neLvTOSwUapekYF9fi8WSF3UEjBdmCYbhBZOT42MPrwahRygAUfSJYsqvTylY1iwIjnC4KzNg\nDcsKUbOdDGPOjJdSVmnoszENzWRW42dwVhwpEn+zMQTV5UgTfbIgeAdXEP9shKDNJ0VgExDg\ntJL/EVABAfTJSBFWTT6TgnhIiaLnVZ4EM/WZEADAI0ygGKSPmI5d7+GKYmg722WDMEwquA62\nyssMkWBhITrVFqfaGiI5KjgTDbjUBktqrJkQcQWZXL0BO7iRZurdZ7nazyR02RPmBZWR7eNC\n6/V69QuVQivaDOaKFyxRLhLY2JPihz+zTRxpO3wjTuL+RzHte6+WyAXf2TLjvEOu+B7ZCXfX\nrde8ff6b118NQOKwZwr2JBTN6U9Ujlk15k/Nf0o/QJeusQlDmNudCFU11l1Yd1FOeEm96+Gu\nyveXvf77n/8i2mDYhmHDNsQUuLWPrN199+60EcZcdcxB0HLVH8NcZI8s9J3KZ4B2RNDK02yD\n1hYhAB6SQ1U6Mpx/PAdrPr1j/4jrmguWVAqd40MNQ5uOODa8UtbRrmsg7XTCwGPSnSGLGcZC\n6fuUXpc6bQ74b+CW6BeWbeP4I729jxAS5PndZvN7hBj9rBxndjiGUqqqVCKEJYRJJOqjRrZI\nFksBQACFEJ5hWAIm6jtoHFA0qgtqlYcVhTeb80TRk2R0SnjeyvOD9qJnhUFB+E+FDF7Vd4qQ\nYNEUhGkIEl2FLxspKFC/m9ZGPxOoDtruJdrhTBzwvYsrz0YKAthHxx7nF0X6vA8lWMJsTjub\neIOexswh8v5yOfFejhi6KoYY517L8jRJSUFOCXPMamB4xCjsdRyEkqrd5cO/KGVUpqmq7ch5\np5SM+DIA7DYuz53i6mc39GCrPpRecriga6/t+F4cX3vZ1nnVw6a0FBOQA4Vtn1bWKUQ9ddtL\n96y658iXjzTOaZQFOe9E3oRXJ0x8aSJRCcmwowEA1mh/9L3n36m/fH/861SpigQu9zsTr9Tm\n6c2NcxoDBYGd9+3UHKH0ymO/mNVUuqNUAp4Fvg/4cREQC5M9CZPuxb0zMMME0xEcGb2H6zkP\nfq3rIV2y/sb79q2+d+nRVVUM8YMSi60uv+RDV/72YKt64NFGWfId2fMNVel/n0wx3BGO1hIS\nASjDBAgJqqoTmMhx61T6vqocA8LAaEKWsxzLMDsYpkdVSkRxkhJaGh0hEl4cDNyV4/omyx5S\nlOHh0LWyPA5gWbZGEN7huERSLUIYhiSeL1WVg8F2Y42QYUwsa0rScbIye5EkXdJFkoI8bzcL\nbkpVVZVBSDS+TNYGNYPQBpdd+vhzzpr2T4SetbFovM3Z2IimV2mV646W2bhf10CSsnOmPSvZ\nkJ0zgIN2mOEVqJ8k7dK5aLMCU4BoqBq34uUS9J+dzgAd1P0U+Y6xYKNgmrjJLORSeX/06vCG\nqwGZWPX0xRPm8ysjuxioGuajCa9hlJzMu//r1w7/IuGy1z6s+69/XnFienx9AAAMQ9yudId3\nA5y3FcWpawaF0HcmyCZFENmISuiGYXUbhtVFq3iVV4hanl/+6mevxufWW9l7cvHJgzccvHHZ\njdZOq+AVIs5U6/mSFtTrbMtZQvVLUzbZVF6d5Jq09fotMz+f4S3zvv3K2/Xz6/s9i9oLa0t3\nlPLA14AxwEW4U8EjwMmv4WuP4TGub+lcjWqEkf8KXr8J3jSOY/Z2zN5uAq57Y0Vvbc6xx7/o\n3OtX5ahAi8XV9HSfn40UBOD1wueDQ8NAkfgOAAAgAElEQVTlAQCamwGAUgGAopiB2G0sy2OA\nMSZhj8P5JMMcZpkPCJEA+Lxf84cuTRtEVQs9vY9ZbX/z+34AHAe2AyFJGhUOP2uxvGy1PZx4\nEvtINkWVfb4GTSOaOAhhOc4EaJiGZm4dJ5N3Bs74lCqURkN3sizDJmWQTx8pxjQm2aAmHSHa\nIJ2W1fKjz+QtM2lPfY40bnucVRomkvF3QAalulVaTvfpbQbTMP1TYbzs6DciaBTG0tQADtom\n0EwKiObR2iL1iIO2W6jHRrvMiOkQM/B5liMfwdhtmJNW2AXXveqvW5nh2YzQyE2Oh7+xqV0G\nmaEMrqBELF62n6yHjm7rz5fdmSwFARTWu39405dLj6UY6FoEhmF0pWAnOuPvAqcXSz/AonXp\nbV6YIbY4bctrbi73DYu/FCyy9bzGBYtrriiiRVfgikyn6ZrLajb8fEOwIChlZr6dthuM9k1C\nZ+7USGUJdH2tK+QOvfjxi9lIQQAhd8IAcgFwC6zAh9Nw0+N4nMsgkEpacHHTUVzxHibtw7jD\nmLsZX/srLklsK7oqPTN+W+GuTifuIsF+DIkrF9YuffyDW9e+fN1bb7ZwDZptFAW7dK1QAUCM\nTI2E5/D8iagUjETCfv9OYBFwOfCbZJ8QVc33+74MXAlUA3cB9wGLgZGhUGkkckXmyOFwl7EU\nBGA269L7Z4dB5e/cY5Aa/aeCg0hAtTaBAYDXdQROgcEIxogQu4Vqx0Q2w2emPgAMFC9KwsQJ\nwAKjyL+/xC9lcDK4XZj+KS4EcC1WXIO3K1HbC9detWqNMrOOGZvl3FRwPqbQrZyOzqFc3lvH\na3vAicRIk6gXjrmCRi+gyx8/P7dVQ78QgqZr/7Dof59+OV7CsUYX+QAO7MTOB3ZffP/WaW6d\nnA0SQ9mgu+zwpbetf0AlaiDntG/oNqvZTyiBgoqeMsatvabZdc8uV60rMxo48jtx1Wq8e2U0\nYnUczIgT6vyNmkNxDu4Pv/gDHZ3t29PRknJxrgZexIj78Aqjc8t1TGjG1D2YukdvQIYj0786\nfO19XwCglA0Hy1WVo1R3W5rh1Kufe2firQcTRcuOSa9cz58andxMlrF6NTo1Y8gkIRi4ypnz\nJKB4euuDwU4gTl5/APwReAu4CAAQAS4B0uxWG4ErQ8HnBNPqtGFF0chRlBAiCG6TSUeN7Q8M\nw+tJWUKYlDhqgzhH+IdajZ4bY9Gz5EjPmhpNaaNHmWpWaZaY4Q9pxbbgIJpTsx3pDchC1POy\nN5aRMswEnuSRkyw5E9fERru6yVAKphaVekMBeA03Hceo5JI3cf2buJ6AVsjbc2grAJrFnmUc\nChHialOhfEpPEAYZI5vYVm79ZCyPj6MSRYFkoub4e3zyet1siOM2DF+X95pZtQ4Nj6wIjtWK\nXpiACDGEkLtd1pOCANTWye7Pl5O+CNTmtrF5JxYHq9YFqj4mFDm87omE3KF2vbyAE/ejpAU7\nZqGxDDIHd3eOq75E7DqqoykCaJ7bXALDrBZ9ICoZ+feRySVRD8Rp+jcVZfp/zPlqXBG5+K8t\nBe1NSxU5qh3q9lr8y89SpCAARuVvez28fcrpv1yem8NIEhobsXNn/1IQgKq6VcUdDB4MBjNb\n9wDLgKPAEODZDCkYhaQojwGmeHZDVZXD4V6dRIMAQAjrdJYTwsb5wEzTUA0v8iSTS56z6QU4\n5Tlryn5gEuEfGzCNaeyrIPocaXaxRhPzyxgwkyNNP4QWDZs4h4xjpVcN0On+TDjSQY3wnw0r\nfBRMONXsk4OYox0gUQMW6vMRbUFo/E7ykOIAyc2lTRbDKKAcxHxa10GGv4nrH8DvNV0s9mBq\nmhRMmgM5zU3PUVvc9HQLm61GCIBPyl/fwxpQZwby6ajI7Ikwi62KrYU/ety8sYdrpKAmaikT\nx44PXmhW7c7OdJouZMWuaTg1HBHBsuitxw+OX7Fl4stHbLuXem7K01qyRNGIRgCtdl1rw1YU\nt9dfR2iqzkeJ9fhi2d4uFR1gzUYUNxvR948u6MDl7wOACsuKnIU/W9R2o9Evz1uzXY7M+MuM\n/KMp3HKUJTfon9ZeGwR3BJc/WV+sJBdpocosz/3mDk1tyDx7b8Pb/pWPTo2ER/ezSk8H9fs0\nYgIAAHzAk8CvgXf1u+9Q1YkMAwCS5Pf7mw2kIACGYc/St53jLDxvTw1VAwAsa8rUMlVVUhSR\nUoUhLMsK0MloMQhjDF61fwFs8LjQboVXQNACnxOdLrQzWQdMscKrb1zazwtChtBBKqPMpwEc\ntG2IeugoHfEH/CCzNgTzvfRRg+4K+G5m6En2fD3NNRMcjTjUjvhXkZxBqj0ZuB+ACuW4edN2\n+yvdXEN0uSqS0Clhz7qcpwJMrz83Re1uLcHj92L9RairRMsQjDi55KrVz97x7CafGvzEsToU\n0n7l1aK2AQ0A1lSd0DOF38LMBtV+vqwnL3COFhhe98fig/zID0fq1cZx2bcv++EN3564pzpN\njUtGoCPgqe8/eS8X5ub+du4l370EBG2T2g7dcOjosqO+Ut9mAEC6q14SCt8tDHb1H2DB1W29\npr82LPDU+HY5MwBrH4qmCi73SxUjLx9aeTPDGEax6wPDeAL+mYa5IHYAa4GP9RtQSn0AVFXy\n+5uMpSAAzTDcAwXP2TQjbiffatGshKFQpyh6JSkQEb3BUEem+BxENjiHVqNnRZaeJUd61uaj\nZ0CNZrY0YkTTSniIfbaR/fci6adJs3GE1wfpIeWl9JDWyIlQLDbaY6M9T+NKLyHfYJ4bgjYA\nKshOOuX39Gs1RD9LQuI0tF/0LvQuxkeVqPXCuQELDmMcgAr5cxZKXG6YaP/x+1NxCrgX+Jil\nJpmEDls03mshxrfH/sH+C68vPxIzipF5vH6jhgNAWdOsK9576q3rrq9rax/OFApCijxrQtMK\nrIh+/qK49bkpX9y5d0rQiroKhCyw+1FRByGC43yp3p4v5y2Fg4f+j8gd5B5e9rAaUgsthZoN\nCg4VXPjzC8e+HVO4Kz+tHPPOmKPLjma2/OjNj/J68kZcMkL7SBQX//jivON5wzYOs3RZmqc3\nv/vMu20TY/oTUcmJt8ZZv7H0pS6LhsUIAGBl79ur75xy/YrDLK97OnnH85yNTm0CASrL+RXZ\nCWAhUGmVNuiNAoy0ibe3PVBsquvkuleZjz0XnN6vBKZU8PmuBx7Ub9IBXA0YWb4EAq02W3Ek\n4ukvBjcAIgiu6POkxYj2XwJCFUUOhTsyj6Uooih6BCE3yhSGI72ZIbklKUDA8Lytb32WSWn2\nHVHD2jNuax2nIrPgSAdkGqpBw+o3zqgydLo/E4403maQGv1PggRTgLhEWIzjiGYxjtBNynhE\nLNTDG1rEEKgr6aUrlUuHotlOfE20yAsHAyWf1nrZIkk/XaIe7sXjv8cD9iS39Hdw9X9LX7cq\nKV7bblXbiVsHnwKLAAVAmTShiT9AdWRMC39y5X0fzXtjkrPLBuDwOHh09unGHb42x1veyjfa\n210WC2M1swwLVUGX2PNGzhsBNuHpde/lazrHl4jDipQ+4xqTiOGbHOFdvC7fQglkLhafOwM5\nPfTuDSFWzF235vRnV3Q5TCmeLY4a5y1X31x0KD0C7TW3XrPm0TV779gb1yRCCK3DupobWpyr\n9DcICWxttjHvjAHQPqH9hU9fEO2JWVGGjrzh0G1V3c/Muet1kb0xo/chHP45HD3vLn969nkL\nH/y06rIaTcvVhf+1sO7COv/S48uH+Pyt9pMfjTj54ci+NyGTk7ulu+MyADMAR7ORgcmC2txL\nFSdCEwFcBnyFRC6jgmYImcQpUDNQDrDQZVy69LNVxCBJQY+nlmX7cVsihJjN7rOMcyaKvkjE\no7egl6SgyZRDQBQlopeYQpT82QQyHUQyWO6X/3UG3QbE0GfT+CzbnPPueo2zaXnuSlLUtTDs\nPaREgnDG7hPJiBBbiOR4SaEEqwUerfifKR88cHQi1w9XBzOijRnVxVSwVGaJnI0Lfxx34Lmn\n8DVTKq87FkdnkF0fKucBJK6PmmgoQuzJsWMM0Qw8A8Cu5k0P3Ngg7PGxHXpN8/nKU/M7x22t\ndHRb905Bk85eJAGpr9hgtov5Yoks00hQDQXUcEhlwnyVfzxLWYmIDNgcKfca5Tp7QSlNcrRQ\nWHQOF3M+nh0hOgsFSxDzN+nN8KY3SUEHOJUZ1Z67cJv1gyEHTjl6mBAz7u/jFv908RX3XW5v\n1/DLZCV2zLtj3it/b83UNbWo3avs922cMmflHy/c8qvhvluxZxpEE8obkWHbUr6tfOiWoQBW\nPb+qo1rjujlK/LLIPrJxWC8wGYodDIAAG3yW7r8Zub2YD8Df4jjw6gTf6+PPv+hUsCBBPnNh\n7uIHLj56zdH1/71ePa+xaEJ7+ZzGibceqFhQf+zdMXKYA5Dj3uz3TkHUfPNXnzXNbNK7Mou/\nvzjndGLlUgpuMt/8GlEpNV6QmYGd+vyugiyiWABQ1f5pGFkORSK9qipxnCX7bIJxSFIgEukn\n/wjHmRnCynJQ0c/ZyzICYQZjcA8AZ2s1+s/kSA24zWwOMSDz0X80NarlNW9UpYDzkIIz85ow\nRoDkqmBL6eG+g8bAZFwciThqmanxhMAK4QHwCJtoKED6d5nKRc/vdFKET2WOns/s36pOTjo6\nxoibCNDM6UTxSkEXTy1l0uTq0CKeWohhymIWbEN12482Pj7xs0rh8EJAl+PlZLNTtkSZn8TE\nKKyydWb3/AvDC6bWMy6V+XyJTiKnxdux7hLNKqXqgMEU7UmbX5yC37024dfV4eV/umXy1vEG\n5xVF2aGyfdjHKcKtL31YUb8gUeFz4LMLUFeBW19OC09j7bQCkKzSqUU62R+A+T/b6H1l4m21\nruK+a2thzAsnll7tiLxzyuttjG057z6W9+CEexdddqLhvAbJJuUdzxu7cuzaR9aeWJIuhCou\nqFv+6sqXL7uFN3Xm5n/W3nyzqgp1+UHmHl3HwJEfjhy6eWha4WJpyJy8v2zu+kZ/F+Z/gB1a\nCXuvB97qr28c2ewiAaCi6FOUiN1eFg2oRgBZCUfT1hPCcpyF52Jh9BOEIwEAUex/N5fSKEVo\nNBkKNSqGNQKKJqjN/m1EBxRrVCuKKfQan2mq+kxitq+pUUBRXXPWOAap0f8MhOD4R0jB2ODE\nGYTLqmNKehHZfAd5czI5xEKpReXLuPX3eCDQZ/UqwawaGqpxkL+NR76OJ4ZD9z0LYAZ7eKs6\nObmEgTJW/KxS2t3FlkeIrZkbG9HxIBwbZqsiPydgGKoCcCklTfx+zZYM2By5AIDKqvsX1rjc\nRXnbdAWhJ7cubPO3Cg2VwTH5kZS9uqn17G3beLOEHbN0F4zK7J0Fq+Z12NLnrFi7xPGf6NkC\nOXxI88fgVVxQl5ONFATgc/gAzNxxf4oUjKOuAjtnYs62eAGh5NiVxw7dcMjSbdFwW+wDZ1K+\n+acPp15zAwCVU7c8sGXr97eGXeFK4LtAw7ayNfctad1bUjqr8aHqju+rZPob44v2FQHoGtV1\n6IaMuHMAgJGX1pTOaEbHBxzfXVz+bHP91w/MbqzQn0PRfu0s0yO7vrGN7VUUl2ZtH6qA7cC3\ngLV9HGke8B3gAWBDRrbFcwBFESORXrPZDaiBQIuU5A4hil6WMVmtRWkkqqrK/TrpA4hEuiXJ\nZKxuDqZkGigGBeF/BiRyhmHVskQQOVZoCMJvMU9/nbwY/1qJ2p/hwSvx7gX4rLcvh4YCE4Gq\nSdhykFfh6qX4oN8JsIy2falV7bWqvQBcSute89LMBja1Z4R4nCQdfag49ZjwqUw0iKOK8CSe\nJg4UGHnIvWMhUTWegs78o41DdkbX3XudW6p9087rXhTVDkd0MHdt4qMUo2akzRgY1bHw3ZKX\nrtw3jiOyCQBR6fCG0KTjvtrmKXt+u1OTN12wIWWXjRK0FoPkcEeXHS3dUWq8hQZg63lbGTCT\n9t2u22L/xGRBSAnNTDKsicbLj4t20eQ3vfv0u/u+tC+5qnxO412bn/U2O90jugHsAnYBji3l\nC29fVjPvtMGY45b8vePDNYqCvMI1HN+r5p1v0Dji0N4SswD9ScEoRgDvA73AScACjEZMu708\nyqufc0iSn2G4UKgz09BUUUV/oMlmK2aYxHPdrz1qvJmiGJmSEcKw7AA2LAaB/qxGDfjP9DZx\nnLX/u27VWZqPZm8aatg4Gzb13HOk/yhlsA8yTD2kzEfyZAgA5SA51Y6LsPYe8lJm40nY9zv8\n6B48GS+hYBgoagYn+RU8nY0UBNBIKnqZ0nwl9t7MTDpfLJ+aEPn4sGmBkhT4OFdpnRZ6j6dy\n9AeJCkOr6pwVuH677Q2FpBgV5svl0wKXJqKPUirbervnrMvbclnaZCQ+uPqqO6NSUIgIs7fP\nLm4tNnMyM9ohWsNL93HxjTazoXHrqUuPmeb+r1SnXnvvnSU1Je4uYhKtQMWELRUTd4x7ae1L\nqjMpRyDFgg2YlpQToqEc716JznwAAdzwBlFJ5fpKW7utp7KHi3ClO0unPzndVdu3HBGUd3/3\n3oQLJs7BHHTru2/q568whsqr3nKvv8ifJgWj4CxyVArG4Tu/4cXPnt/z1PQL9cfMH7q7g8R+\na1futhxuP6DLhDsbtH1+anXac1yrojgpTdPIXcC05O822/BQiDf0rzhDqKoUDOpERQAoVf3+\nZoulwMTbAVDgXGUTNJkcSdxm/HD6HGkWNqIDijU6QPf5c+M1n01AUYPugxrhfwayyUpxNggS\nlx+JV6QItpMpvwTb9NZJt+CVb+F/I0lugi61jYXYS0qkJGf/H+F3WU7gIyxuZaviglATZdKR\nIvlUJzsswOSykN1yY76sHYVyiDR2ke++E8LWTq5WIhG7mjssXD0iPI0Bm/Z4eCZsV+29ObsW\nmrqKAFCinhy+bt3iH7QVHgBw+4u3P/TDh4raYqRcxCp+/NVNo/I2x7sPN6J7AUC0i5aR7Iha\nmzM1ennFtmH3Vt/7x7V/Rq5CWGLy4r61TF53YsHTPAQv3g456QGlDD11ceJ4dRfU7bh/x7Iv\nLRv31jjJKj294Zn26W32KGXNKik9k8Eqhe0oa8Seqf3MPBN8kD987eHs2+eUe0umNRs0CLan\n3NXdBwKhTtGSr0F+EJWMWa0hI1uBz1JLWLbbav1EMO+3WDYFAxd0df3CYCVvtb4tCM8Fg/24\n8PK8dciQaVZrgcdzurX1iyiBSQhjrMNl4WuBUKiTZU0sYwJACMuygp4tqCYYhktmUwkhPO/k\nuEGT0QFjUBD+Z8BKfX6Sq7lNyCNigc+L/LRCBmoEKVtRBgHYMpU5AKOhS5rZ4S9HQw0SftwS\nMQ1T9pqJr4GdEC25G08NQ73+OSWwAQvewxUMqyjgWRitzXkaKZOPRD8zqu77i0L1Mu0MWLdc\nZlVzysVxbknbIQ9AoOJIoOIIG7KxYfO2khUHXDE5d8dzdzx757PJLYWgaekT8/CThCAsacHY\nIzhiGD9HMSt7vrrngl9ckFae1+iufrP680V7AAQUNDOmvKRf56PFurIsDtkir3hjxdh51adH\nN/mnJ1kbFrfqJalASUvIAmEAL9sYbG02Z4PTMyzJmqO9ELumo6UElKCgA1P2Ymj6Oiavqht+\nE+wayzhFUtu3+VTFTGmYEAWAKqtf/P707N+PzNx0lp5EwaGC9BGAu4E0nVxR3BzXYrWuB2C1\nfciwPZ7ee0Qx9gsRIlPKAeC4Uzb7KwzzYnd3jcFZE8LMnfvA3Lk/EoSYPurxNHz44XcPH16R\nJZPZH6go+izm2BqU46wDEoQAsdmKFSVCVYUQjmVNGnlpB5EFuH8//jPe5kzMR7UYS4Np9G8C\nmlHVL3f6D7Ea5SG6aEcP0XibSxActKcUJ4JwysTEQDHTgBU+AiUER4jYVTAcFW3whGHrIOl2\ndwYwSJ0IQE5dRbFQGNAc2hnV0TjI/42sPHNW46o78BwFUcA1ctWV8hdIiniU+SFO0iTlWkop\nCTK9W20v9rAJXeSQ5dNR4Zkz/EsImLg1bLx7dGRqCapCINiXj9YSsvzpe+l5cSlD6+Y2tU3n\nKC8XtaGiDoyKZe8A6EcWNs3QdgkYeqRs16K9AEDxxii5IMgXBwmAsBmnjX8oTw62zcGp4TRs\nPuz0wnoU4s6EY+KsHbqCcNaOkAXSwLeQzvvjeSqn+ov6HEA/n4G1l0Lt+1maSvHFZJy/BRen\nhDJwFfqX/nDRB49r0OO+343dtfbbkpgLUKutpqBklTNnY/Onvdu+XzPpu+W2shivEPGKm3+7\nefNDmw5i72/wm7GIXejPgR8Ace97kwmTJqGyEoIAn++2js6GpqbtikLN5s/NxZ8rSo6iuFi2\nm5BeVc0lJAwakKRgR8dJvfMlhGUY7uKLfztnzneSy3Nyyq+77s23377lwIHXDC8YydLKVFEi\nICAUlKrZWI2mghLCpqiACTaS9k0DSGIOtZIu9c04G/4zq1ijZ2Yaem685pPONHOGmRh0qP/3\ngwJOgomA8oiwUChINPUgB5FANel7vveQQjvtyUEnKJJzOVngE2jQQ/L9xN2LIgaqQIMisWRp\ngHoAE+Zis2ZVD3IbkeKCZ6M9ACzU61abu5khk/FFAXSd+QA0ouwh/HADFuzHxHhhJzs0KgjP\nGBTqZtvzHjY9mfBx805BtU4KLjTublViC/95m+bl9qT4hLRObl356srOsQkTfHc3rnkbpU24\n/k0cHI+Vy3WHVQRt5ZUXEw+gn6cPT5Pmn2YmdrHEToy2heuH4bWbEOmjoH2OmBz60gtw+ABg\n7BHM24RN89I7zt+I0cfs3Wj2ygbPvhTgeVuKXr5P3nfN5mue2fpMy7QWAGgox5olGj23nI+i\nNkxIRK8u6LJOf2I6F+I++e0n/uKYELV2Wi/45QWhv8x4JNaKBANV9TU/KCiuLC59oWVjb9OG\nbtcom7XY1H7q9KGPtslhGcAqrFqFVWUoK0JRI6a24anEUQpwyy1wJSxmcoE/nG7YvH79f0Uz\nuTNML8P0AqAUDNMT/eD1NhrIKkqVsrL5s2d/K7OKEHLppf975MjbsqyrvfG8LetoZ7E5yHJo\noFomwwwaxZwbDArCfwso4Dxwh2EFYmsUFrIKlsac2KgFflnfdT0axZuHqILhIHJ97KICvpmM\nkPp28lSwMhnAk/MU7r4bT7FaITmexleSNUIWUp4a266rVPaqYPKZfmKI/xi/fRm3phVGSEpE\nbD/jruWmdLJlEjFbqK9Qrq0Sd1moF/po5A9mSsEoDlu2VIfmmqjRPV8RHn3Avg3AkOYhyeXe\ncu+Ln7yYnKsPQLcbL92Gu5+Cuxsja0AopTrEVO5JbT/LzrKUuCgiQ9eVKevKFEYgLr30yxEB\nb12XkIJxdOVh9VW4tS+N1ML1GHESu6ehtRgASlowbXeUuqyrEXuPRYZdaNc0we+tz3lu3p1T\n7txbdvNG06i6TnQewiFweHrj027eHWu0fbb23KJVSYKwan0lgMnPT574ysSWqS3eMq+j2VGy\np4SNsJmZ3Ttar3Xm7LTaj1AVPUcDXYe9xw9uVVMJ8EY0NqIR2A3cBcwCwHG4+eZkKRjD0PK5\ns2Z+c+u2P2pOk1I1EtGIVsqyJpPJFg73UkqrqpYQHdcgm62gvPy82tpP9S6Dceb6ZMSFWTa+\nE2kYjCBzrsBlZ4GZXhXHueuejUmnbtVZk6XZ2IKmfT1nHKkKthPFaVHTkr9SkKB+GoQoOklp\nfJ9PQCifNlvgayNlUtZhrzPxBSZ/B//zCL6dFtr0M1zwC/wq/pWFNFLZJSAMgAFlII1Wtjto\nh4Ff+35MzJSCAHgaiVKXDGgHO2yvsDh+UiHiqOcntnJV5wffcqjd0GRNgU5Oz4oQCpG6uaYS\nsaKvcfqPToBisbwqNPGEZb/PmfIi2/STTWlSMIqIgA0LsOwd1LnokHo0VWgfesKrEzTmwyv7\nFh4kaY7VAAAagRKgrE3rGTo8DoH0BBoxnByBnlzk9m0WDqvHsPQ9Wn+L7dirBXkFJ3s2i+55\n6feGKjPv33O5p+j4Z2OfwKg3AIzG6KtxtQOOlGVY6iohBdEtQ0IBCB7h/IdiHhGMxJTuKC3d\nkfDaNGmxhz1dF1vtR6PXJOTvUfW3gYG1UUFYXY1cnXAOo0dfuWfv3yIRbybJplIl7eCVlQsX\nLPjZ0KFzGYaLRLxHj642C0ZeGU5nuUEtoBJiovr5pePgOAuJEo0D3N4zmRwcGzMCSLB/CTYS\nGLBDfbxtFvynUazRszQNPUuveZpWkDRDpLfpw6BG+K+HD66zjB2KVGuXCCzNZHghPR1AP1km\n+sWjuP8oHf5V8vwcbDcjfByjXsEtT+FuGRwLyUY9dtqdrzYISF//NquuTsadT7ST9f0U/0+z\nPFeNbexJRNhvWphpwhMhlj3mSxYEdbdnJGLk0CCSfiwROL/r6g3P8adHmsLO3/wEw09hwUaU\nNKPmEl2TikNjcPByacEx5trV7DN3pXoWqgwOjmd3j9lQMWzXtRhZgwkHYnFdggXB1T/6oHdk\nL3za/FzohGKfrHVXtGn7lcfQWpwQhBmo2zBs9Z1X9da6Zt/0AnBA7FVzL+YES0zEtaDlQ3FT\n3ar/F7elGY7hN+AGJnOr2MCMhxIoLDg5pz7n2puuzalPRETzlnk7xnWwIlu8r9jcYz6pdd4+\n7+T4C8yAeARgta4JBn8BoEw/YRfDcPn5o5uaPteqSrm1pk79yhVXPBVXkQXBOWnSbcYTiESM\nmAkA2UhBAKFQp6pKPG9nWaM1KyFRyUUBEs3HxHEWZGGYOohsMCgI//UI4dzzGxSkM4sEEf2C\ngdKq2n5MftzIjIn0zZOA5qsNQ9TjXlLgYQpPstN5hB20s0A9HU8mpYJ5TL3tF+yfMzXmj3Hx\nB9BwjecgVsixiDBtbKWkk3Oxly3yMAU5qvYGpIUayX6ralTLdxfnv3cHI8ZW2ZIJx8bgRBWu\newvJ8TPToJgQMGPOKZZX8NW/YeIQbtkAACAASURBVN0iHB0DmQOCVvbFW5S2IQpQVwEAh8Zj\n+2ws3dbz0aPvNM5rAOAAL3iEWX+eNerlMXsu3L9h+VaZxPgxsVUNHpGto7l0MaQaRppNqqWg\nn/1x+uHnZhVPbgXQsqeksy934LY1V3tueXXi59XbrVuaLjpmhdXTZu597FZ89lcErShvwHVv\n4cbXF7OLNaQgAHe3XigBYvHPfWhOyZ6SUe+NYsWYsGkb0/PWT090cTkIWuH0MiPXTtzD7vnu\nYniSf+K3gL9J4v5De0WrjXPnD+U4oyASZkuHxfq3rs67eP3Y5gDiOlP6PAlrMtlEMQAgJ6d8\nyZJHM4lijtOVTKqKhobbgY+QsQQ8A0QinkjEQwhDCEuphhLMsoLNVmSg0AziLHHGDvXniv80\nqDrLxgZk6ZmYj2bPkQ6oKmotmTHVc4CzH5aBMkLZy0Jx0J6xyvYIsUZgJVDsag9Aa9hpARLn\njnJ6SVE7M3ysvNVCfQAY4GN1ngDpfvYFO2K5GijI+/Syr+JvhKg0VdsTaHCS9KmVxloGGDf0\n4WfzctUOTcvScqn6qLBBs5dNzcmXhzDxrAdxq1EKAATE/enyuBSMQ2Wx+ipYmtziaO2tR1Wh\nQzyEVwDA6cXylZA5eHLwnmd5vZxOIbYV49n7/ZiXcH+M5EQ2/mxj55jO666/buKmcU/89vmI\nNaaIROqp1CbxBYSxEahE9qiWkSybb7j5mlS7r7Frww8uB9BxON3xAL2uw91F8qWfWX32DnTE\n6N0+4yDTsQklPZNz6q8o/olGXicAmHBAz6q1kGlb+NMUi6QjUzreutVET86Ml6iHqr8ob+j4\n4A124S2KGPXs/AoQ81RRVfh98Ps6cvOGEoalOuyo1ea2WN6w23eEw98FxuldD3+glZCE5VGc\nJQMlTmdZZ+cxANXVN3DcwPKo7NqFQGAZUA/MB44MqK8e+ixl0gljhuEtlvyoTtjXlKT+1c1Q\nr2UsGq9PRJboqzojjjRhrjkgjjRzYvocaWLKcWZ1IBxponv8mIMO9f9m8CGb6FD/DOTQDg6S\nj7hl8BzEHNpZqJ7mEl591EJ9FvgAECgn2SlJUjCGCCzH2FmT5PVxy9WV9Ipn1HunkEPDSIOP\n2g7Q0YoSGKeuByARoYOUBxgXAXWp7UVKXVSblGHqYks9TMa7OwkGq7c8eWilOK3WtDutnIDM\n8l9O9I3a+fYhXLc26xi2wLJ7PHQEoRygqVGswcmQuorrMVx7io3laChHeUoogMPXHd59z25K\n6HjPyAMjjshdlPPx5TWlFr+5M7+7ZVgbJZTKEBuoY9Ih3nQRRC1tqaQFRbGwmRKkte8bPt01\nI4/f8vL0NQvR7cbylVEpyAnKhb/+dOZ9O3mrYaSVqXtwZCxOZZxgYfuCNQTAkWuO7PvSvs4x\nnYzEday7ViPZVUN5kX3G9K/t3vHoTOCFuBRMRk/X6RxXiae3JbPK7iiwWFwATEJdR9efKH1a\n0/DH4znd06PLaQtCTm7uiN7euvz80Qbn2tvb7HKlLGgOHMCHH0Y/5hNyM6U/M+g+cFCet1JK\nKVViEbp5bbOmfxaoJIUUOaxSBSAMw3Gcpd+MVP9xGBSE/2KE/wG86BnACm8prWGgDKGxFwej\nb8ktEksv0ZYZIWLvYYrcagsAH8k7xM1VwJ1ENQAQgIBl5EnS+hy1naeRMvVYlEmNG6Y2saOO\n8HPk/gKrOhSjJHQzgtfYVMdRYYvcF2LNrubO9C8pF40SWXC9RimfWszUpFKGSX8fUZWGu9RO\nBygoSVrApvmWpKOxLE0QAnj/ifejH6xgGYmZ/+v5C/57QbSkvbRzxT3vHq0+yYU4fi2JjHrf\ndOhqQlMpQXMYV6+Kf2tAQ5joRfYGAFhCIAg6feT5L9O+uGvLX1059pos9BtGxc2vYtM8fD4D\nQSsACBFM2jcq1Djm78veeemd/bf2BT0/OgYenQt7ZOz4y97e8ehMJMXqS4MkRQqKqjrbTyb7\nFTicxUUlCRWwt7f20OHXx1fflNZXUaQtWx8yDu9iteYJgpPjjC7U5s1v+XzfqqyEzQaPB0eP\nojEpVyYhN1D6JKCbOuoMoKqK3T4kwyPwXwBKaSTSm2TOSlVVEkWJ563/x+LXnC01GseZ8p8G\nxzrHpqH9WoT2V0IzvyYPe2ZkqWKYM+icwI3u87A1D10NKN+K88IZ2XTdtK2UniCpJ5iZoTBe\nEoRONlsAQIDk5qOZgBxnZ2TSswq4w9z5c8TVDJSEbzulAFrY4QdMC/o9nTylJVfthL7TPQN2\ncnBxdWhBJ9egIGRXc91yCUvjbeJ+9Km/oFZG2Tgopb5W1V7AsHziPlIkGmxVVZF6LThZSEe2\nJ6ok4zSN/Tm0q7z62YOfmYKmOQ/PAVDYlP//sfedYXIUV9enqrsnh815V2mVc04IgYhG5BxM\nNDjBC8bGic8vTry2wTYY40g2GAQCRM4Sykgo57CSVtpdrTaHmZ3c3VXfj8kz3b2zkjC24Tzz\nPNtbXVXdM9PTt++tc8/95k9vOjaoraKhlDLKKFt/StvHZ6oqKYcqwBzGqH04fTncyXTsZjRj\nmnY5kRimbgbQMH4/f+zOaMOo8w7kZAWjEFSctgLzV8LrgioI1r7pf596xo8vfP+ej5NWEECz\n0UJ1vjl6M9UuFQIgHOobUju7oLDG62mT5ZAgmKy2fLPZAYCpyetz+/YnA4H2ceO+arPGLHpH\nx56Nmx5ta9sdvSgIidvRZDAxtiEIksejK+zHOe/q3HP4CPbriCxJ4lFZeZmxm6EvwzRQMKYQ\nkIywp6pGGFcIoYJgzohYcq7KSoAxlRAiCKYY6SZGrckmi8bfWuJ4yS6ZgUdZ9msmdchygFJT\nXBxVN0ZqGPZMHD076b7/sKdW7n8CupFVg6T7Lz3CzxkURgzxE0RU3uUuPGKJC1F1oPgHePAZ\n3JTaTYYpCEcvKQnDQqHa4S3grVS3ojeMKwNH9Wh6SUmIaLP8Q8TeTcuL0mvQc5D90gzN/qmw\nct+00Af9dgMgcXO5XCskHYJ+UpWVQqNaPHZrWyDCPc1MMkM0EQ6wMJQA5/Ff7cvT2J1LiT0S\n+13laZXySCLPcG8cK36+Ytrfp0l+CQBltOpwrNA8ZXTOqvJZa9jvNj4SHBPJVv5WoW7Hdkzp\n0k6rBzBxO05fDsCf542mJDqAuy/dqxGFNIStyzrm5eGjXh9VuaHS0msBsO8bO9N6GMrEmcys\nfEpLyxaDr4YDECVLXn4sV0GzOi4hwuHDS/fXveFy1ZhMDn9fiz/QTxprKurrl02b9k2rVSMJ\n49ixTaNHTxgzNuDz2err0ZQlbWsyrbDZdvb5XlGUhzUDvCcOWfaHwj0Jg0SIYLG4JSlGVgpH\nvBkV7QXBbLUWEMMfaW7gBmUuVDVEqUHtlf8wfGkIP2dYEJT1UqcBAm5G0IRwBObjCKL+Fd+6\nFU+kthSj42ncTMCfxs2JRj9xHSTJWoAeFLeTmiFsp0OnQmF2skQqLNwfndOgj5+4i5BmCP00\nT89wAiDgduYpV+tHRLZYWI6CHQODXNAWKWs0tWpwQJzo+9amurcpXT2KyQHIAQ6ApN+Q2138\n4TPVC3YIY49BZGQYDpkRzNB6jcEUwXC9aulpiDgiTXOahn6kvdZIGb358uv/tOXPNN3D5+Dv\n4/1OdIIAi67BWR9l6r8NOYxXLk+W5609COAhwFqVng+wfSI2TkdLORiNSYnO/BSU+Q/LC+5b\nMKJ1sLXbWra9jKjJ5+6wO+wdki4Spp/LAcBU1X7bxsc/+M7CzY+/OeqiUeVTyolA2ne1712y\nN+wNAzCZ+7nVVlbOHD3y+uLiWkppOOxtaFyxbfvTwYB20o4eIpG+ZcvuPfvs35lMaVdgOOyt\nqJhWWTk9+u/pp6OuDq++inA8q0IQDpnNbxMSyc+71h9wBk4CgTQKHo54TCYnY6os+0OhtLfD\nuRoMdnPOTCZXRPaFw5k/UlUNBwKddltMjlGWA4oSYEwGiCBIkmjPcYWPc2YQWDZM8fzPA3HE\ndToMVmMHGD49wfjngDofH/8z+xC5jjrpOqIqF5rJYE1VTwpWxhutCEQ7B2BvI9V6odSoyUw1\nlpOwbQumaH533SioRHN2jDQVApSx6joRspcU9pLiAJycEDMPunlnITu2W5gT1lqColCnKx+a\nebCZDjskTNSbvIg1l7EjxepRMw8CoFztohWfmjPLISVQrh6eGF7VJtREiMXCAmVqg415hTjR\nPLGcSePuQrIlwRFl/becqhxuffWXXk+aLTQjfC1eqEEjB//bmXx/WTwiFzeEJH5DiLaIKvL8\nJCIi2D7esvFykv3DuvBNTN6q904zcOl1l2om4yfw1D2L6m7cJ9UQwYUIIo1oXIM1DSla52e9\nff69dz0yo2GQTRUOWoOL53zym+eu7ytvAeDqLPAWdWPneNekbe2Mvvnyy8niEm9eiK2TM44V\ndhw8ise6d/ofeO+7Y9uHZZ9MsDD4YOeDaU1eFx79H22/0O3BnX8EZTwar0v5nII9wTdufmPf\nG/ucrlKr1W22OOyO4mjmXyIiyhgbMfy2aVMvz5jV7+987/3b/f52JHmY4PHvOtHCki2xb99u\nLxk//prKyukmk8PnawNQVqZxAdfV4YUXAECS1ptMX1PVY5xzQTCZJLvH23iSlLhzAXE6K32+\nY3pHtFgKJMkaDHYpSqZXZzI5TSanVo2ktPsVY2owqOtYUypZLHmAFh9Vfw1Ly7Dm0rl/A5T8\n/7hGfekRfs4QoZTxo+2kIkPD2o6+It6aIG1GsywomJ4h5CAu3hNKqeF+Ad7Se4KJrhp+DCPh\nTRViO6nxkTwfSa4IBomjlxQ30RFl7EgLGZIdIx2q7oraNjs3kg/upJWdtJKKbLCye7iyBYAp\ns4pAGnwk7wPbDYmVBgJeG9k2JbTc8BFtYDjL/smlro9C33xr3VOP1XWc4oHbhsBQ1M/FWjc8\nYZjNCJ+xC/vL+plHEdBl5wBI5c4RHw/rCU/uLIqddr5HDZ3xbjBnKwjA3qHrJUdR0lC8dftu\ntgl1Q3ctPfWNjL3ffei7v7vnd4nlptqg9d5lZ1xyxrL5K+fToGX0mmkrrn0N43eOu+kZ81O3\n1KypiRnCPWOyrSAAs6/W6jnVMfyj9aet3e3abPKZBq0aZG+3dw3vIpyUbS0btHqQrdMWKErx\njFxenLkU75+bORdluPBNUIYYzT9tpzXfesXLVzw97+mjnx7t87YBEERTZdVEhzPJJbbbZkyZ\nnGkFAdjtRbNm3r3s4x8bfGgC6I2+y670nz9CGaJC3WHa+4z9lTf5R+vWPQyAc26zFV933dua\nY0eMwPDhr7W2POsPvOP3J7m1AXRIki13ZbUTBo9E+gzsrqqGOVeyrSCASKRPEMxCfzqllAqE\nED2n8GRVT/w3wX/Vm/kPBQEj6StYFMzGfQkrqEBsIYPChg4cgAgsFCzhXJbDaMWnAkaF4qLo\npBWaAqcMwjE6dAjb00XKvCRGT7DxvkFsb3F85S+Pddh4X4AYKcMx0HpxPIBR8gYH67HwQKoh\nT0UfTVu/4SAHTJMp2OTQin7fRS6w0dD5zhUALJae08OfnI7d0fYWlL+L8+oxVIFoQqS2bb/Q\nt0x1GnFWE7jowfNOeWEKAE8e/HbYAvCOa376oS25n5XJZ6r+xFjHCxM2j/701C3dDu+I+nGK\nKH8ybVnEFIvcjd85/sEfPJit3j167+hFl7767Llvq4ri6HX78jzijf/AU7dMenrS2u+v7avs\n07SCUZSWza34weaj8Wq4229IK9JbvLvYsakwcG66MZj5KZx9WH56tMQwAFQ34ewPUZUWG8+A\nIAnz75v//MLno/+qSqSpYfPgYbPNptgVVV72DaqzClZZOdNiyQuFtAP7Epee7HhgfmhmomFm\nePLM8OSZ9kn/z/3b2OTlk6ne7MCwYY2HDr2dzSKR5YDZ5IzI/n+NX2gcnGRMURRdmX5Z9guG\nAnJRiIJVVrRN+0AzL//NkdQaPXmZ9SfY+QTjn7m05BIj1SOFGsQ/Mw9kGBqNR2ZAW0lVBruS\ngXaQcolH7PABaCbV/VrB6CgL/AlV0qDmAlUcPdDRZwTGYvfX8OREbCfg2zDpKdyyC+OyepEu\nUj5BXaPAFCYWMwuaYlqj8Xgj2Fhl/TZpvsEKaBSHxbHDlJ1mHhglb9hmOs24cyrqTFNGRzbb\nWF+iXrxB8SatjWRC/WjTYVOinL0cO+H9GPkyrki44BGY9vDxzndGBM76h1J4NEFbS37LyRZU\n7Cufuyh2q3X3wt0LACtuHYAVBHD6fadHmTIGqKmv/MFPvv3QvY93lHSPrZsyrG5MU1W919Ur\nBqUfPvg9QdWOH8xfN+fl05cGSHDOa19Zdv3LB2sPcsLNXvN151334hsv9nboJnEKwXwoIkRt\neeiOsR18lFbK25g9GLMHfU747XB5YcvJbRp8+uBUj4Rz1tFWV10zDQDnJpdLV++UEOJ2V4fD\nnmyOKOfk633XpFjBJG7yX7HasuEDyyoAZrPRA5wgSHoC2bISLCgYKcsBxmRw5g+0f3ZGMUMl\nLgPGdQ0ZU3JJqJdMDsZlVc1MKpUkR7LwhQEfNYvAmcInzeZ2ZnfOpobq8kizGaEDSro/cWbR\nlzgheJCvJwHTRUoABGDPkSYjIWJOCTBWQ7t6OwAVwiZMzeOdw9iuDEN+J/4Y1dpegI9Px/K7\n8fBWTL4Lj2RP0kfyOaiIiJ17NQObTt4zQ/6gWq2zcp8xB7WdVvXRfDfvGh9ZKyDtFuNkumwL\nDtIqDKC8ogFcNIWA4+4FEIb5DVyUHYgmitm29Ebn63c7l/zI/uHXTXtPIaqGrRr38ehsV6x9\nbHuO5yOGxDN+fMash/WLPKTA6XFc88xF0W1TxDysfvTkbbPH7po69PBg3flVobS7EEDpkepz\nn7iOBcWlZywFULqj9PYxt9u6DBMQDfNMiKC/19mHstYcrSAAySqJ1rSfht/XFb1zKYqbGUrN\nRQ2VooS7ug4cPbqhsXFdc/Pmnp7DjMnX+C7UG3WNP/YxBoNGTr/Xq+vLMqYwpphMDosl32Ip\ncLlqPrvcc0m0nUB8Mqc1BUKIxZJvMjkpFQESTd4wm/P++6pefBka/ZwR1AkGAgjDyiDkThbN\nQ3eQW3tI7HF+Ntbp9WxDaTk7CICAOXmvl8S8wzOw7A/4ToZpFKE8jLv3YMxHOCu1PbpsKcJI\nWdjMgyPVzSPVzfXC+Hoh262MYYfplOhyowi5WqnLY50hYpN4uEhtaRVr9tIZAKwIXoQ3pmKz\nAHUXxr2KyzxwaxJ2ErCR0JmWdRPEAyXBEG8r7ds8b8+uhZ8uaGoan6kRE2ApDvfYPWgt34+R\nei41kc1ENgMQwjahq0o9MiF4+tPclHZ/z2/RiDsRZqQPIgWlMS+PKdpb5Gp21b5fa+uwccKP\nDGt46YoX17y98A87x9fqjx2+b0h+t7unIG1dllEjX4TF7VlBS+mCJ698a8z6MkvFtru2NJza\noC65Avt1xFYKuyD8i+iCIU9IDqT5IpwzpqpUECkNtrZijI6wmqpyr7cpFPK0tuxIuG6MKR5P\nQPX1VavlekccIccIuseObZblgObtnnN28OD7Bqed6gJKoi0/rzYi+1Q1DBBVjWRQQI8bomgV\nBLPFkh8IGFX91MNAChkSSbJJ8fT5zzG7/zOFaBDiSyC3THaDXScnWHpSMuKN5+k3WKpVu+e4\nWKPxyADTKXgWRRD2HIuzUKg2+CwIdKBChsmMcBV0n1sFqAKiPAVWww/sJVOiXun38VvNy4CA\nfw+/zzCEFKoZ4ehbS4mIJkINaS1mQy5MgnSjQDoijilgbacGX4/KzXhYEYC5WPsSrqpM0e/4\nPb53C55qYxbKteOfJULXPc4nC2kvAJgAd6trxPbKo6+fedbS5fM8r/ziA5LS+VBkMAONnfPM\n9dg9prO1nxK+CQi9ZZbN54dmvZz8njgSeqGpKNlVcmy69tKs5JO+M+w7tva0Oy/hZMjBwT5R\nfmf32JXAGkCPhks4KW0p7M33JEiqBDhW3j5ut7Y9C5sih2rrpW5LorN6RvDVP7wSu9ambtY1\nhNM26ZxC/yBBgVsHYETr3q7LaKFUEEQJgCj69+w5Om9elaR1P9+3/0gk4mtv25MdwFQMA4Yg\nMXkgOeLfuPFvc+Z8N7vLrp0v9vY0ZLcnIFApVlorfkGYJAckB4Ce3kNGR88Zomix2UpAiEBN\nlIrHW8gwK9c+Sdc8LtFRjcJM2UdOBDBzSbrPZWbdEGvKjTMxSjdG+mVo9HNGRiQwA72kQOSG\nqo9xFPNWABRsCK+TEJEhKfrufjBlxdGCwGi2xcV7AEyHRsGaKGZgQ0ZLAW9LDbA44SsnbSZo\nn20h0xbq1EQ3LT0kxXIGytTGITj8Ls6rTFexykPvS7hqPlZqzkDAv+VYFLOCqag6ShZfseCp\nqWf+dXZqc6/qWuOfFvtHknHjP2jZAESzhKaxJJJmw45M0RArmfrYVL2nzRl/npFhBRP4f7/9\nvotRH7DL8BwUMc3GSGVk3e9X/2nfnx498OiiNxftTZeMee6GZ1+6488HpsYkXaRCUrzQnLxx\nDD+AuWs1jjF6L2ZkXga5Y/SDU1oMCVypCPYEl9+3PKMxlTVqMv/ztdegZP16jh5lW7f+IuDX\nSBsAEELoEHSt0V6ajIju3vXS2rUPptZaUpTQ5k2Pr1v3UCxtQAuSZNcLV4bDHuN1u34hilaz\nyWW3ldnt5YRQzpnf33pcVtAuCv9VVJcTx5eh0c8Zdu4LEN2s4SBsFWhqR7mGMHw6VCKAQ4Hk\ng9MJTxiWrZisZ9h2YELqvxYERvKtMjfZqV9vflt6Er0AxcE9TbTWwgMX4q1bhOeHk8MAFAg7\n+NjtfDTnxM9tm/n4Vl4CwM69VerBo4JBeA8AqnB0Ftbb4W8TC6nMGKiDee5nP3JRjdpvEuSr\nTW/8Vr41e9dwsaFG0KHFjt+J01ac8+jc5betZ2IyirXEe44J8kz7VgLAEio99WUsvtr4bBMg\nnFJPCSs8kmjZtWBv27D20kMlae9ufdUZ956x7FfLMr7MQSsHzf/lfL3JrSHLXOA9YCtwnU4f\nRllLZXIB0jaR2mcSQO5CF4Du2u66C+omPDfh4psuJoxsnrr5nt/dA0IOzK0vaxnjajG5Jgkk\nYzH0zKUYfAQbZvBj5YTHE+onbsfxwnXU5f7U9Hf8fVLrpGd++EzEFfFWedd+fy2nGo8Grdtb\nX7/p9Z76tOVhSsWS0pha7Az/+FOLqslF//RU0Z6ukYG+ci7nd3dZ9+4NNjf/VDI1hiO6qguP\n4bEH8IDmrqfFtKef3btertv/dlnZJJu9JBjoam3dHmWims1us9kdDmcmCBFCnQ5tCk8g2BkI\n5LpCrAVisxWb4moyUW8sEGhjWjWbDCAIJklySIbaql9MnPzQ6GegCJpLywAiogMMlmaERjMn\nySU0qtU5dgvOR1cHdHPTOIgJ4RJ+rK2/4oIeFPaRvFRy6e9wz0u4KrsnA13CFhIgADtAoso1\nhDMLjBRb6lNqKYiQFUhH6GgAd+GRX+P+lF3qFLJjCtmROP+l6rw/KzdGYBqvrKNgTcJwTaPu\nhufPuP0aLIrFJynabYWPha/drdSepuP2ARgtHhTBkmqo8dDHYMHQn5u81b7sjIq6wmOj2xGP\ninAuvNhz4UrfrMn8SEkw5KWEOrtYX6HRPCkgnKSSSJioPvPo8zff8dWS+jQG5im/OaVyY+X6\n76w/OuuobJWL9xZPeG7C9L9O3z5/1+SlEzLmbC1DWxk4UElbsaXsOeB/EZN57SpCZyFEBRUt\nsAawafaOoD1EQAgglRPHTI1Iz47rd/AWXt9Rv3nazmsXPZvfc7op4gSgIqi2b4KyKpMLWnsQ\ntQcJwDk/weoHYki85PpLXpi+iEaEttbeic/GQrwj3hyx5kdrGuc1hp1hd5O7ZGcJfZ9+b+P3\njm3q4bwWSEYRTGZ7VfVki9UFlf+s+Y7874lrfrwmakQJDtiBYF3ww6s2mH0usyXAmdHpPoyH\nT8G3L8CgjPaHgHeFTjehKWp8RFZCTUfXJyJxJL6Qkece4vO3BAIdiRVBSbI5nZVpxXLjf4Ph\nnuOwgpLkYCwCEFE0m01uQTDxmNqLSiCEw72aLq8BBMFks5Umb1P6ZFEjJc+BFKbPqTBTTlqj\nA6KGGkiM6sZIv/QIP2cQcAJu4PBxIB9d7agwdgplSEjP+VuMK8dh109wf+pTggzpV/yej8i5\nbaQqQYl0oncI23cDXjBDN3SzlJ82lO828cgxOjhBrhmMIw/iB8bv7ixhlUTkB+VvU7Dxyrph\n6q5OUh4hFgsP7JRmRWvQC1DfxvmnYE3q2BLS9SPLX/4veLud6PIMJSgSURSeye2kxJCzLskA\nLL7MsqtFRwouvO+6UStro6yW6hGRF66RFdI/rYCDc1emBkd3Zc8ji/46funYYRuHWHzmwqaC\niv3lAIYsGzJk2ZDUnkFHqLs8zfvpLsRrF+NoPIewCmXfmI7XXsPV7fhzGZZdgGPx5yLKMKze\nv33W0sRY61jd66T+qvo7R9zzzM1oSeGLCMQq1M3Ds4Nx4z80iTByNzcVnpAhHLdoXMGGog1q\n65yF1zGVHXQ01vpqAFR/Un3NhWlVI36NXzdDBN4F5gMbbfbn8/KXW6wuqzU/ehf7Wsfl1V/N\ne+//vZdxCOsI61WvT3lpwVIrLUFsDUwbMuSL0XgrBt0CjAMUYBPwKPAGkCfkaq4IIU5HhcNe\nJssBzpkgmKmgey89Lj4LcTjiz8ecA5CVQDDYHQ+ukhxpn6kwm4208r/gECw/+1F0y1BibQC7\nTrDzv6DlRDpnt2d0CMLWheIuFPeiIAAHADPCWp2TzmgPKTKQsS5EZwjWXpKra5KK5Tj9PXyF\ng4ZhbsCgJbj063j8TXJRb/oRI7B0krJf4qeVRHsJh4H+jH3fxvvCxNJEk+HN2/D4uTBi0EUx\nmBz9lE3pgRuAhEg+6yhkMoeGQQAAIABJREFUrW7e1UkrgsQB4Bq8eDf+kD2QgtcILRGY8kif\n5sxBbnkzfGY2BclF/DPMujUNMGYPHvjh5BEfDDU39qjuXtUNoOhIwXcvvLVib1mCDpDfJUze\nInQO6e6s7uMczOGhEZvmBa6WHVSGbUx6hMnnad46vG3v/P07F+w+PLlh5pJp2TkVAD657NM9\ns/fPeHdK9F+/A0/eis70XD6nE2PH8dUtRPkqAikpoJygu8AEtSrs2BZlLNqnE2rR/hXKeTJZ\nc+ruMVp7vW5YQqjOJFhxhrrHXUWzwhpacTmjdXLr6rM+3beqBQDnvNvsOaN9ZvaE3QjeAO7H\n74ChhCjFpdtqBq2x290mU8yqUU4fav7hG6+9Jts1lqLNeeauhjb/AQGcS5LV6z2mWe0dGMHx\nm82gTwC/An4DPAvsBwhR8vMfotSHrBiPFjii+QRUEgQzpYJeZ1WNBIIDNoSSaDOl5DKGI16/\nv03n7fQPQqjVWmBcbeoLDuPQ6L9b/DO7RTciesLB0gGHRgl4Nwq7kKy+FoQ1CGsA9gocjRU5\nigdSUkdJiKg6TH0KZkIkZJgab4wNmLEB/Vd1UCEWEl1iNwWz8nAEpl6SdnuuhW7V0wyMFBoa\n5KrEbNGNEcqOdaYyABfgLb2BQ2nj+/L8QVQ71LldHk05Tyk6H9vYJw/zMJdba2URAMpbAFgQ\nHMUb88O7Puop2WkuuvRnZ9u7M90IZx+u/XvBM39btOf8fQDEuhmmDedl3MG51aNMfYvylHBc\n9o2Uo2Nwx+s/evvi35xP1bSHnoNT6z+6ebkiKDtO2zVhxTgAa+aiTyuf22Yl137LI/o1nuul\ncI3FNzns2EIAY5rxLk0rGMXO8ZidmXKze/G4V+6+7KZxTw8+U4P+k38o395h54Rb91t3nLnD\nVqHrh0kzWOlpjrYVfgK+umjLwyOe+5+D10gs6W23mbt+MOxPbiZawgcp9Tic+0TRyxiL1VEC\nB1AdKWe1sr9EdyW7cnZpx7u9IBAEWlY27tixbRn57JSKLtc5vb0aqegu5zOi0AaQlF957Jvi\nWaVLNGLFPLNzvMvxJNRbrYWJy0zlqnFeYzZE0WI2u1U1wjmjVBJFawpLM/43iyxqFAjVr3aU\nC/9zQBxRwzL0uURxdamhWucT+/tlaPSkIQhbqhVMwAdnDwoLoCtfaxzzPEJqbVz3l38S4dWv\nMshBokl1cnrJXGPZ7lScssru6azZsLAplRxRrjaMlTfukaYZq8FtUiZMFXYV08x7gZ/bXgud\nozlE5tIzvstudz4nEm1OnaqaV6z42YYNd0QiDgAuYGMlLylGsdaz+8R3xu05cx8AZcQGODvE\n3fNo+yDCRG7xqTW7lFEruTmnJPGNF21uHt5yykuzanZUm0JSZ3XX1nN2bDpnG6MMKl7+wRsh\ne3j6u1PqRuheD5pWMAopOCrs2AJA9UDQqfzhOObsdelfbD2ZYkNtO0rfveM8AP+84PqLn3lj\n3FVpxNXRS0ZfcsMlCe0b12DXRx9+VDhcN3RRca6zbUXsSl5SuXRF/sYzO2YNCVSGEdnlPPhx\n4YYgD0ZPXFW1jYeVmcL5RsRLS17ygrTZCquqpvf0HA4EuhhTKZXs9sI89yBR3GGSftHd801F\niVGZKPW43U877K8YzJyBYLA7EOyMrtKJotVmKzKbtL+agWTsxWC3lYiiNXGTlmXfAOVpiMWS\nL1CTKFj6TfuLKrFxzgihomD5L1MQzR1f0Lf9WaAXuqTqXuTrGUIVQgSZi1UJMNA+uPqIC+CG\nUeeTgLWYOwnbNHcd5EPDMBEwicupZ7EFU3KcfOIH5RMfWHBgWuf/vbLMU5pk5YxUtpWxJtlE\nDd5cF8/7ZfDOa61vz6JJEux2THwkfBuYrgXaK9c+4P3GJealo6R6KsiImCDJ8Sdcsnjxy3V1\nF6T2bxhMnvoavvYkirJsYUFz8ptVSw+rpYcBQJYgyECy+kQuODayZfF9rwFIKO3wuKWWzfKS\n77718dWr5YN3HMcPUwxXinJZBK3hOm6q1v40Jz078VMVsk4YXg3L/o0KSt2ijffU5+95ZcyG\nP82QgyIAJSS+cvVlax+cc8t5q2dV2VzNLmuXtX1c++JXFpu95kGrBk18duL5R85/afVLBobQ\nWpn2pjrMPYuq3gPAlPhdvr9PssXUaT9mpELub0lT1zSZHKWl4xEtdUsoECtDYbd/bLV9HImM\nUJQiSntMpv2RSJfX26OqEUEwWyxuSTI4Cu/tPRxMyYuPRPoikT6btcjprIpEfLLs45wLotls\nchJCwxHvgJb0KBXN6SqgBpKhmrBaCwTBrJnEl/FGQqFeWU4+ZIfhkSSbJQcN0v8+iCRZiDwT\n/zbxz+yWEwyWHk9oNEtrNHOsgT2TIYFzmsJvTB3Vb2pE+gE/KzyE796Cp6zQ+NU9zy4XwAhY\nIW89iiTR4xVcfj9+YpC5n8Q5H2De6uF7R//s3vO//9jBqF8YjZEWsI5muUhPkbSTFfSo+Z9Y\nznqU3jcK+6ZhEwXbhXFbMZlbyGnsndrI7pRK97FR0cXCZrn8L5GvikRxh5SJjfKlc2IVgvbu\nvSTDCkYRsuCDc3DdPzPbZYuc/LoTh6By9LAGEdGU7ywrMJXsQ1L/7S32mJv8NDJgXgNlDlfL\nt0K2DYFD74cHMXNt5gVTsbFi3v/Na7oCDZl8yRgUezNXSNPawd2HCve8Orp1WyaZuWVL+Ygt\nV54nsdefeX3ntckCvLuv3L3mR2uuueAaNzM6ba5wQkiCeJn4CYgQF3TNmNMzqTDs7pY86/N2\nvJ+3RiYKUqiJ0VF9YmB3d33Z1rLWydppqceWe0lKbDMRAaPx7JBoAFtVZU9vYyC4QVUjhAgA\nSc3w83hhsxUV5A9LiX8mP0x/oCOopQ4TCHaGI15VTQotESKIonmg9SjMZnf0uJxDVSM+f8uA\nsg9NJjshYrRUL6UmSbRETz7pGsbfVDjoSbWCUchyACAJW5hbjDTRJ9FXP/45EI7owMKeRnTW\nrM5ZP9EvPcJ/EfSsXQD91Nn5l6EeQ6/Ay8/jWjeSS2sqhCfYDWt4LP28mLfm884eEosA+2G/\nBK+9g4Ul6I9ud/pyAFj4zmD20O111/1p0KmpO5crc86TPi4mGgshSyJf6aKlB6RxAPZh1D6M\nSt273rpgSGQfNVyGUbjYZRYbRyUL0O/Zo1G+J4pDQxG2wJzOS2+YnIOlP3lg7sO0Y5L2PsKh\nRbdJwBKYwajft3ylfIxbxxMhHwCYD5Ofmrzwx1+RAtLsddqGkIObL91gHiK4Z+8GcOpPVn36\nx5nv330OT5eFY8DyXyxPtYJReKu8L7z9QuD3Rjf9vv0aanxu2fG7Xd8b25dkYJ3beco1tvPu\nHPHrTklDZvY35U88+J27lnz4imrO9B9bPmjvWd+/7yXLwdbWbYqSsC4afmgg0EkIzc/TKIls\nQAFNtYIAOFcHagUlyW6zxlxqxlRvX9NACDJEkmyKEo5EkuaNUtFmLRKEzGd0xpSIrJ0uJct+\nk+T4osVIBevPfhjd+qLxPwe6q1/6aAA2PadQhFKEds1RHpIfHHjp+ZTTOJkh0wMY8Ti+3oZS\nldMWlKzE3IfZ7Z/yaSnHQjFvDRBXQgTgGCqew/UW5rfD54G7hxS64DWyTIQPLtrRzMubeGWy\nOjGEbeq4ccJ+F0n+OBUIi8IXrZDnHJDGtYra1YgUIlUqjS7WG587fpAsxz3CTQvsn0Tb16//\nrterU96IYMIO2FMelMP28OLfvh62hzMPkbWh4REmW+InwrI7k7R2Btg6xI7JyMoJSX9DuhDl\nypBjfaRFDe7kwW08sI2rAR6uDnbOa+sY2zF0m8vWbT0yOD2cQhg55yOMT1sCrJrZrIbFxjVp\nsua1Nrn71cVM0vh+I67IgY9nlc7r0ryFcs53/bJL7lM5i7sCjAP49d67pnhGZ3QukvMm+Ea8\nWbwipfREbIMNj9SdcnBE21AUs4gjZniEiDD9r9O/fds33SHXOvtWlqjHm+WAc/D29l2ppkIP\nsuy32Yvj9iBpXD0eDdLQSYHFUmAxuzl49KD+QJuq5popSECcjrJQuDfDcHLOZCUgSXaSLuUo\nywGDiKtApc9OK/zfEyLNeoD6t4mInmSyaC6h0X5jpAY989Htg3b1lnx0xbU9k8PDsLSTEo9+\nOaRcYIU/DEtG/QoBailvKeeNR8jwLqJbUkcTXSh8CN/9A/nOTHWFnfcBEJKqoSoAEcFpyiov\nye8mxTKRbNxXylo+5PM+xDwVwmrpXDsJ/nL1h7e+04KF72Deas2jXCK+t16dmqwjD9bOi+4N\n/Xgy3TlCOGxGuI0VbVImdvM8ChakRk5zkNizWaMpwdLYRohbtoXGTrHsBCBJRvdBKeWxPugO\nPv/o4r5Sb0K/OjtGqmH2EkjYv6xdmaqJqZFSS488apFYdymRjYoB6YFwkxguY6QJgFQM57mg\nVhKEd+fcnQBW3rfyrB+cddvjs7ZMQVN1pG7k/kDVkYpTmlHalj3V3B+u+eT3s9VI0iQvm9B2\nsU1X88801vzGLZde+s8lJF0vhgNH3/AFjykENPkTILTWXz2rO1NGIIqJvpGTfKO32GKFIQmI\nYKFT7quqPNdNCGnFUQBUpcPfHj71salV66us3VYANwUu4YQ/UPRY/KNIxM1iG3I4GAoZlYxO\nRSTSJ9mi7JuEFfkMBcdDoe6oJLdAJZutJBLRThnSBAcPhbXr9HLOwhGP1VKY6BltNJyNRS9P\njUBoVgRSgwiaxUfNJf5pxBE9Tq3RAXT+Yvm/nykc6MtHdw8KMtpt8BfzzMihF+5GMpidsNar\nA75RfHc7ynxwMlATwsW8PQ9dAAjYCL67EUNaU3LncwQDbSC1Y7huLXUX7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gV+BY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\nKGprGW2YDMgJmkyxR2AVAVXkn37MoGvUS5/Hja48+uWZ9WNHnuSfC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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=5)\n", "plot_multiclasses_bis(X, y, 2)\n", "par(new=TRUE)\n", "grid.raster(aperm(R, c(1, 2, 3)), interpolate=FALSE)\n", "plot_multiclasses_bis(X, y, 2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 8__\n", "\n", "Separate the dataset into a training set and a testing set. Evaluate the classification performance\n", "and display the confusion matrix. You can try the impact of kernlization and regularization." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "source(\"nt_solutions/ml_3_classification/exo8.R\")" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 0 }