{ "metadata": { "name": "", "signature": "sha256:c9abab3de3f775cfc3d8e7c3cc9ba1702eb727df9a9a5a1c1f822be3acac7ce9" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Shape analysis\n", "* author: Mojmir Vinkler (mojmir.vinkler@gmail.com)\n", "* date: 3.6.2014\n", "\n", "Series of homeworks from the course \"Shape Analysis\" teched by **Prof. PaedDr. RNDr. Stanislav Katina, Ph.D.** at **Masaryk University - Science faculty**." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%load_ext rmagic" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 1. Tetragon rotation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "seal = function(X){\n", " return (cbind(rbind(X, X[1,])))\n", "}\n", "\n", "cplot = function(...){\n", " # clean plot\n", " plot(..., asp=1, axes=FALSE, xlab='', ylab='')\n", "}\n", "\n", "rotate = function(X, a){\n", " T = matrix(c(\n", " cos(a), sin(a),\n", " -sin(a), cos(a)),\n", " byrow=TRUE, nrow=2)\n", " return(X %*% T)\n", "}\n", "\n", "# tetragon\n", "X = rbind(c(-1,0), c(0,1), c(1,0), c(0,-1))\n", "\n", "# plot tetragon\n", "plot(seal(X), type='b', asp=1, pch=4, axes=FALSE, ylab='', xlab='')\n", "lines(seal(rotate(X, 1)), type='b', asp=1, pch=5, lty=2)\n", "lines(seal(rotate(X, -1)), type='b', asp=1, pch=6, lty=3)\n", "legend('bottomleft', c('original', 'clockwise', 'counter-clockwise'), lty=1:3)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BsGHh5QwYsQiOy5/KpA0r+RUa//FPvLcDPrmCuULhUC74youeP5dth7GHwx+j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\n/wMO7LAbdu/a5gAAAABJRU5ErkJggg==\n" } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 2. Procrustes superimposition of two tetragons" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "\n", "rotate = function(X, a){\n", " # rotation matrix\n", " T = matrix(c(\n", " cos(a), sin(a),\n", " -sin(a), cos(a)),\n", " byrow=TRUE, nrow=2)\n", " return(X %*% T)\n", "}\n", "\n", "translate = function(X, t){\n", " # translation by given vector\n", " X = cbind(X, rep(1, dim(X)[1]))\n", " T = matrix(c(\n", " 1,0,t[1],\n", " 0,1,t[2],\n", " 0,0,1\n", " ), byrow=TRUE, nrow=3\n", " )\n", " T = t(T)\n", " return((X %*% T)[,c(1,2)])\n", "}\n", "\n", "scale = function(X, k){\n", " # scale by constant or vector\n", " if(typeof(k) == \"double\"){\n", " k = rep(k, dim(X)[1])\n", " }\n", " \n", " T = matrix(c(\n", " k[1],0,\n", " 0,k[2]\n", " ), byrow=TRUE, nrow=2\n", " )\n", " return(X %*% T)\n", "}\n", "\n", "\n", "cs = function(X){\n", " # centroid size\n", " X = opt_translation(X)\n", " return(sqrt(sum(diag(X %*% t(X)))))\n", "}\n", "\n", "\n", "centroid = function(X){\n", " # centroids\n", " return(colMeans(X))\n", "}\n", "\n", "opt_translation = function(X){\n", " # optimal translation\n", " return(translate(X, -centroid(X))) \n", "}\n", "\n", "opt_scaling = function(X, Y){\n", " # optimal scaling from X to Y\n", " k = rep(cs(Y) / cs(X), 2)\n", " return(scale(X, k))\n", "}\n", "\n", "opt_rotation = function(X, Y){\n", " # optimal rotation from X to Y\n", " s = svd(t(X) %*% Y)\n", " G = s$u %*% s$v\n", " return(X %*% G)\n", "}\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "fplot = function(X1, X2, sub=''){\n", " plot(seal(X1), type='b', asp=1, axes=FALSE, ylab='', xlab='', pch=1:4, sub=sub)\n", " lines(seal(X2), type='b', lty=2, asp=1, axes=FALSE, ylab='', xlab='', pch=1:4)\n", "}\n", "\n", "\n", "X1 = rbind(c(-1,0), c(0,1), c(1,0), c(0,-1))\n", "X2 = rbind(c(-1,0), c(0,0.7), c(1,0), c(0,-0.9))\n", "\n", "# transform X2\n", "X2 = translate(scale(rotate(X2, 1), 0.5), c(0.2,0.2))\n", "\n", "par(mfrow=c(2,2))\n", "# original coordinates\n", "fplot(X1, X2, sub='original coordinates')\n", "\n", "# center coordinates\n", "fplot(X1, opt_translation(X2), sub='centered coordinates')\n", "\n", "# centered and scaled coordinates\n", "fplot(X1, opt_scaling(opt_translation(X2), X1), sub='center and scaled coordinates')\n", "\n", "# centered, scaled and rotated coordinates\n", "fplot(X1, opt_rotation(opt_scaling(opt_translation(X2), X1), X1), sub='centered, scaled and rotated coordinates')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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9LMEmEK2QtU5/x5QnU+vjgsOTpgu9fuN4IZ4beqT6k0Yj4BOI889lGbcfyfww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\nqVmb6j1IOggEAAIEAgDB/wPbL2ckmeYD0AAAAABJRU5ErkJggg==\n" } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 3. Procrustes superimposition of n tetragons" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "library(MASS)\n", " \n", "apply3d = function(X, fun){\n", " # apply function on matrices in third dimension\n", " for(i in 1:dim(X)[3]){\n", " X[,,i] = fun(X[,,i])\n", " }\n", " return(X)\n", "}\n", "\n", "procrust = function(M, threshold=0.00001){\n", " # center and scale all matrices\n", " M = apply3d(M, function(x) opt_translation(x))\n", " M = apply3d(M, function(x) scale(x, 1./cs(x)))\n", " \n", " # Procrust cycle\n", " Xp = M[,,1]\n", " \n", " while(TRUE){\n", " last_Xp = Xp\n", " \n", " # rotate to reference matrix\n", " M = apply3d(M, function(x) opt_rotation(x, Xp))\n", " \n", " # new reference matrix as a mean\n", " Xp = apply(M, c(1,2), mean)\n", " \n", " # break\n", " cat('Procrust error:', sum(abs(last_Xp - Xp)), '\\n')\n", " if(sum(abs(last_Xp - Xp)) < threshold){\n", " break\n", " }\n", " }\n", " return(M)\n", "}\n", "\n", "gen_similar = function(Y, m=10){\n", " # generate similar configuration matrices\n", " M = array(0, dim=c(dim(Y)[1], dim(Y)[2], m))\n", " \n", " for(k in 1:dim(Y)[1]){\n", " M[k,,] = t(mvrnorm(n=m, mu=Y[k,], Sigma=diag(1,2) * 0.1^2))\n", " }\n", " return(M)\n", "}\n", " \n", "flatten_matrix = function(X){\n", " return (cbind(as.vector(X[,1,]), as.vector(X[,2,])))\n", "}\n", "\n", "# original tetragons\n", "X1 = rbind(c(-1,0), c(0,1), c(1,0), c(0,-1))\n", "X2 = rbind(c(-1,0), c(0,2), c(1,0), c(0,-1))\n", " \n", "M = gen_similar(X1, m=1000)\n", "N = gen_similar(X2, m=1000)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Original coordinates" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "fplot = function(M, ...){\n", " plot(flatten_matrix(M), type = 'p', col = 'gray', pch=16, asp=1, axes=FALSE, ylab='', xlab='', ...)\n", " # mean coordinates\n", " X = apply(M, c(1,2), mean)\n", " lines(seal(X), type='b', pch=1:4)\n", " abline(v=0, col='red')\n", "} \n", "\n", "par(mfrow=c(1,2))\n", "fplot(M, sub='original coordinates', xlim = c(-1.5, 1.5), ylim = c(-1.5, 2.5))\n", "fplot(N, sub='original coordinates', xlim = c(-1.5, 1.5), ylim = c(-1.5, 2.5))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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XF5+seM2bN1+5cmVgYOC5c+fKfLFVpyyY7L3zwxEuy8zRIv1u/+yzz+7atatb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\nAAAASUVORK5CYII=\n" } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Procrustes coordinates" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "\n", "PM = procrust(M)\n", "PN = procrust(N)\n", " \n", "par(mfrow=c(1,2))\n", "fplot(PM, sub='Procrustes coordinates', ylim = c(-0.6, 0.7))\n", "fplot(PN, sub='Procrustes coordinates', ylim = c(-0.6, 0.7))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "Procrust error: 0.1011805 \n", "Procrust error: 0.0002462531 \n", "Procrust error: 6.217558e-07 \n", "Procrust error: 0.1635371 \n", "Procrust error: 0.0002536229 \n", "Procrust error: 3.983855e-07 \n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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gg4sXL0o4OACLZimNcbSaPn36ihUrRFcB/RGwII29e/fGx8fn5uaqrwxWulpn+PW78ohW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\n" } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rotated Procrustes coordinates" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "align_with_x = function(M, point1, point2){\n", " # rotate shapes so that mean landmarks 2 and 4 lies on x-axis\n", " v = rowMeans(M[point1,,]) - rowMeans(M[point2,,])\n", " angle = atan(v[1] / v[2])\n", " return(apply3d(M, function(x) rotate(x, angle)))\n", "}\n", " \n", "par(mfrow=c(1,2))\n", "fplot(align_with_x(PM, 2, 4), sub='Rotated Procrustes coordinates', ylim = c(-0.6, 0.7))\n", "fplot(align_with_x(PN, 2, 4), sub='Rotated Procrustes coordinates', ylim = c(-0.6, 0.7))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8+OCDr7zySnR0dF1dXZcuXZx/o+N05WCvbmho4MakcJXQvnr77bflLgQuMDex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\nSFewi4AF73F+zruQrpyfKOr5cw8BaJv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} ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Residual deviation of Procrustes coordinates\n", "\n", "\n", "Let $SD(x)$ denote standard deviation in $x$ direction, $SD(y)$ sd in $y$ direction and $d$ distance from centroid. Then $k = \\frac{\\frac{1}{2} (SD(x) + SD(y))}{\\sqrt{1 - d^2}}$ is supposed to be constant for all landmarks." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "procrust_res = function(M){\n", " sdx = apply(M[,1,],1,sd)\n", " sdy = apply(M[,2,],1,sd)\n", " cx = rowMeans(M[,1,])\n", " cy = rowMeans(M[,2,])\n", " c = apply(M, 2, mean)\n", " d = sqrt((cx - c[1])^2 + (cy - c[2])^2)\n", " sqrt_d = sqrt(1-d^2)\n", " df = data.frame(d=d, sdx=sdx, sdy=sdy, '1-sqrt_d'=sqrt_d, k=0.5 * (sdx + sdy) / sqrt_d)\n", " colnames(df) = c('d', 'SD(x)', 'SD(y)', '1-sqrt(d)', 'k')\n", " return(df)\n", "}\n", "\n", "procrust_res(PN)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ " d SD(x) SD(y) 1-sqrt(d) k\n", "1 0.3942879 0.02949443 0.03048001 0.9189870 0.03263073\n", "2 0.6718438 0.02080161 0.02060487 0.7406929 0.02795118\n", "3 0.3952984 0.02945890 0.02913935 0.9185527 0.03189705\n", "4 0.4806373 0.02711922 0.02805762 0.8769195 0.03146060\n" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 4. Shearing" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000\n", "shear = function(X, ax=0, ay=0){\n", " T = matrix(c(\n", " 1, tan(ay),\n", " tan(ax), 1),\n", " byrow=TRUE, nrow=2)\n", " return(X %*% T)\n", "}\n", "\n", "# tetragon\n", "X = rbind(c(0,0), c(0,1), c(1,1), c(1,0))\n", "\n", "# shearing\n", "par(mfrow=c(1,4))\n", "plot(seal(X), type='b', asp=1, axes=FALSE, xlim=c(0,1.5),ylim=c(0,1.5), ylab='', xlab='', sub='original coordinates')\n", "plot(seal(shear(X, ax=0.5)), type='b', asp=1, axes=FALSE, xlim=c(0,1.5), ylim=c(0,1.5), ylab='', xlab='', sub='horizontal shearing')\n", "plot(seal(shear(X, ay=0.5)), type='b', asp=1, axes=FALSE, xlim=c(0,1.5), ylim=c(0,1.5), ylab='', xlab='', sub='vertical shearing')\n", "plot(seal(shear(X, ax=0.5, ay=0.5)), type='b', asp=1, axes=FALSE, xlim=c(0,1.5), ylim=c(0,1.5), ylab='', xlab='', sub='horizontal and vertical shearing')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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9+03HJUuYzndLZ9f5GHhH+D46oMD/AxNacnoJ0P7mAAAAAElFTkSuQmCC\n" } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cube shearing" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "library(rgl)\n", "\n", "shear3d_x = function(X, ax){\n", " T = diag(3)\n", " T[2,1] = tan(ax)\n", " return(X %*% T)\n", "}\n", "\n", "shear3d_xy = function(X, ax, ay){\n", " T = diag(3)\n", " T[2,1] = tan(ax)\n", " T[1,2] = tan(ay)\n", " return(X %*% T)\n", "}\n", "\n", "shear3d_xyz = function(X, ax, ay, az){\n", " T = diag(3)\n", " T[3,1] = tan(ax)\n", " T[3,2] = tan(ay)\n", " T[2,3] = tan(az)\n", " return(X %*% T)\n", "}\n", "\n", "save_3d_image = function(X, p, filename){\n", " open3d()\n", " rgl.viewpoint(theta=0,phi=0,fov=30)\n", " bg3d('white')\n", " par3d(windowRect=c(100,100,600,600))\n", "\n", " # draw\n", " spheres3d(X, radius=0.1, col='black', add=TRUE)\n", " segments3d(X[p,], col='black', lwd=5, add=TRUE)\n", " \n", " # save as a file\n", " snapshot3d(filename)\n", "}\n", "\n", "# cube\n", "X1 = c(-1,-1,-1)\n", "X2 = c(-1,-1,1)\n", "X3 = c(-1,1,-1)\n", "X4 = c(-1,1,1)\n", "X5 = c(1,-1,-1)\n", "X6 = c(1,-1,1)\n", "X7 = c(1,1,-1)\n", "X8 = c(1,1,1)\n", "X = rbind(X1,X2,X3,X4,X5,X6,X7,X8)\n", "\n", "# connect vertices\n", "p = c()\n", "for(i in 1:7){\n", " for(j in (i+1):8){\n", " if(sum(abs(X[i,] - X[j,])) == 2){\n", " p = c(p, c(i,j))\n", " }\n", " }\n", "}\n", "\n", "save_3d_image(X, p, 'original.png')\n", "save_3d_image(shear3d_x(X, 0.5), p, 'x.png')\n", "save_3d_image(shear3d_xy(X, 0.5, 0.5), p, 'xy.png')\n", "save_3d_image(shear3d_xyz(X, 0.5, 0.5, 0.5), p, 'xyz.png')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Original" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='original.png', width=300, height=300)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 300, "width": 300 } }, "output_type": "pyout", "png": 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"prompt_number": 15, "text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Shearing in $(x_1, x_2)$ plane by $x_1$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='x.png', width=300, height=300)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 300, "width": 300 } }, "output_type": "pyout", "png": 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"prompt_number": 16, "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Shearing in $(x_1, x_2)$ plane" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='xy.png', width=300, height=300)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 300, "width": 300 } }, "output_type": "pyout", "png": 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"prompt_number": 17, "text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Shearing by all axes" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='xyz.png', width=300, height=300)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 300, "width": 300 } }, "output_type": "pyout", "png": 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"prompt_number": 18, "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 5. Tetragon reflection" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000\n", "reflection = function(X, ax=1){\n", " if(ax==2){\n", " T = matrix(c(\n", " 1, 0,\n", " 0, -1),\n", " byrow=TRUE, nrow=2)\n", " } else {\n", " T = matrix(c(\n", " -1, 0,\n", " 0, 1),\n", " byrow=TRUE, nrow=2)\n", " }\n", " return(X %*% T)\n", "}\n", "\n", "X = rbind(c(-1,0), c(-1,1), c(1,1.2), c(1,0))\n", "par(mfrow=c(1,2))\n", "plot(seal(X), type='b', asp=1, axes=FALSE, ylab='', xlab='', sub='original coordinates', pch=1:4)\n", "abline(v=0, col='gray')\n", "plot(seal(reflection(X, ax=1)), type='b', asp=1, axes=FALSE, ylab='', xlab='', sub='reflected coordinates', pch=1:4)\n", "abline(v=0, col='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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miRi6i1L0MDRPxNBdlKKHoXkihu6iFD0MzRMxdBel6GFonoihuyhFD0PzRAzdRSl6GJon\nYuguStHD0DwRQ3dRih6G5okYuotS9DA0T8TQXZSih6F5IobuohQ9DM0TMXQXpehhaJ6IobsoRQ9D\n80QM3UUpehiaJ2LoLkrRw9A8EUN3UYoehuaJGLqLUvQwNE/E0F2UooeheSKG7qIUPQzNEzF0F6Xo\nYWieiKG7KEUPQ/NEDN1FKXoYmidi6C5K0cPQPBFDd1GKHobmiRi6i1L0MDRPxNBdlKKHoXkihu6i\nFD0MzRMxdBel6GFonoihuyhFD0PzRAzdRSl6GJonYuguStHD0DwRQ3dRih6G5okYuotS9DA0T8TQ\nXZSih6F5IobuohQ9DM0TMXQXpehhaJ6IobsoRQ9D80QM3UUpehiaJ2LoLkrRw9A8EUN3UYoehuaJ\nGLqLUvQwNE/E0F2UooeheSKG7qIUPQzNEzF0F6XoYWieiKG7KEUPQ/NEDN1FKXoYmidi6C5K0cPQ\nPBFDd1GKHobmiRi6i1L0MDRPxNBdlKKHoXkihu6iFD0MzRMxdBel6GFonihr6JsvCDtVhnZHPz3n\nsjRP1F3zuKG3XLujw0OpOUM3StFRKDVn6EYpOgql5nFDf3hD2KkytDj6M2P1w56nen7drZ2HX+7q\n+XXDtLh5VW1bt6Obd48a+o55R/7h0JeDTpahxdFvOfvF6ld/varn1/3QV+uxDz/c8+uGaXHz6i9f\nP392N9+Oixr6O8+vql/M2hJ0tgRtjv5vZ2w/7xu9v+yev7l88+L7en/dMC1u/i/H1C/ub7ly+gdE\nDX3O9vphybX1w7WXtdJN2Tfgc3PJftQ/BnXsyp73vrnsnOa91Gn+7k/XD2sWTr9V1NDf8ET98PbV\n9cODG1ppXfYN+Dza+Zc/dt4Hz8j4Unnz4nMuH3+D5r3UaX7eJfXD1Uum3ypq6B9+6y+rbw1tDzpb\nghZ/GjdWf95+U8LS68/b93zo8p5fNk6Lm/949r3Vz4749+kfEPZd9w/Mmj2vzd93b3H066+qH9Zc\n0fPrvv+/qmr38v/u+XXDtLh59c0jDjv8K128P7+PbtocHT5KzRm6UYqOQqk5QzdK0VEoNWfoRik6\nCqXmDN0oRUeh1JyhG6XoKJSaM3SjFB2FUnOGbpSio1BqztCNUnQUSs0ZulGKjkKpOUM3StFRKDVn\n6EYpOgql5gzdKEVHodScoRul6CiUmjN0oxQdhVJzhm6UoqNQas7QjVJ0FErNGbpRio5CqTlDN0rR\nUSg1Z+hGKToKpeYM3ShFR6HUnKEbpegolJozdKMUHYVSc4ZulKKjUGrO0I1SdBRKzRm6UYqOQqk5\nQzdK0VEoNWfoRik6CqXmDN0oRUeh1JyhG6XoKJSaM3SjFB2FUnOGbpSio1BqztCNUnQUSs0ZulGK\njkKpOUM3StFRKDVn6EYpOgql5gzdKEVHodScoRul6CiUmjN0oxQdhVJzhm6UoqNQas7QjVJ0FErN\nGbpRio5CqTlDN0rRUSg1Z+hGKToKpeYM3ShFR6HUnKEbpegolJozdKMUHYVSc4ZulKKjUGrO0I1S\ndBRKzRm6UYqOQqk5QzdK0VEoNWfoRik6CqXmDN0oRUeh1JyhG6XoKJSaM3SjFB2FUnOGbpSio1Bq\nztDNQ9k3gJ5Tas7QAQEMHRDA0AEBDB0QwNABAQwdEMDQAQEMHRDA0AEBDB0QwNABAQwdEMDQAQEM\nHRDA0AEBDB0QwNABAQwdEMDQAQEMHRDA0AEBDB0QwNABAQwdEMDQAQEMHRDA0AEBDB0QwNABAQwd\nEMDQAQEMHRDA0AEBDB0QwNABAQwdEMDQAQEMHRDA0AEBDB0QwNABAQwdEMDQAQEMHRDA0AEBDB0Q\nwNABAQwdEMDQAQEMHRDA0AEBDB0QwNABAQwdEMDQAQEMHRDA0AEBDB0QwNABAQwdEDDYQ7/nhKlv\nmf85bn8HPzs09ajqNWMBt4UZc+ns218Z9mXJ6qj7MaDZB3voT9829S0zraFPOWoAig+22U9OCdv9\n0Acx+yAO/eZjZ539VLVxycq3dV6ab5g7d/Xczov0Q8NXHjXvzqr6xrzfXvTTiaH/6x8cftELdsSk\nA6trjznmS0NTjzrtoDc/v37BwX+6uRq7aPaczyZ/oBg3HqxUOes33nRHHbY8KXGbZBa1Qy/7AA79\nkaE7nll+brVxaPkDdbH7j7j78ZPK0A/5/I6PL65+8bp125ZfaEN/eM5dm05YZUdMOnD9Yes2nzI0\n9aj6pf3pObeMfvjkau38R+/9rZ9nf6yodYJZlWpoex3WnpS4TTKLWklmH8ChX/2+qnrqtbs3vu6F\nTrFP/m1VfacMfdZYtXF+teux6vlLz7Whr/xIVd23zo6YdOAln6iqHw1NPaouvvovqmrXwbvX/t7d\ne7a9mP2xotYJZlXK0O1Jidsks6iVZPYBHPpln6kfDnly4++PfwvufV+tvx4vQz+2qh6aX4196u2n\nnj4x9A9eNemISQee+89V9eTQ1KPq4isPnTt37uwndq86/ndW7kz8MDGhE8yqlKHbkxK3SWZRK8ns\nAzj0q5fXr9C/OVa/HneKfeLjVXVLGfr88Xbf+uNnqm9ODP3TH62qu9bYEZMO/Fj90n7X0NSj6uKr\nzq6q3ffs+dkj1WMLr8v+WFHrBLMqZej2pMRtklnUSjL7AA7957O+P/rekcqGvuHIe55YMnno1/3J\nzq0L/9yG/pM5/7lp4ZftiEkH/uiw9Y8vmz31qOo1zz555G3bLh2urlq05ZHjV2V/rKjK0K1KGbo9\nKXGbZBa1ksw+gEOvbjr20LO2Tgy9+tobj/3acZPaPXfa4Sfe+oY19l33G3931vtftCMmHVhdd8zR\n1x899ajqnEOfv/24g5duqrafdcjhF72U+4Fi3HiwUqUMfeJJibs3mUXt0Ms+iEN/mYf+o+5+cvZd\nALkGfuh3vXHrznd9MfsugFwDP/Tq80cdfcGO7JsAcg3+0AFU/w/zp+y9My/vdQAAAABJRU5ErkJg\ngg==\n" } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reflection and relabeling of tetragon" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "Q = matrix(0,4,4)\n", "Q[1,4] = 1\n", "Q[2,3] = 1\n", "Q[3,2] = 1\n", "Q[4,1] = 1\n", "\n", "X = rbind(c(-1,0), c(-1,1), c(1,1.2), c(1,0))\n", "XR = reflection(X, ax=1)\n", "print(Q)\n", "par(mfrow=c(1,2))\n", "plot(seal(X), type='b', asp=1, axes=FALSE, ylab='', xlab='', sub='original coordinates', pch=1:4)\n", "abline(v=0, col='gray')\n", "plot(seal(Q %*% XR), type='b', asp=1, axes=FALSE, ylab='', xlab='', sub='reflected and relabeled coordinates', pch=1:4)\n", "abline(v=0, col='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ " [,1] [,2] [,3] [,4]\n", "[1,] 0 0 0 1\n", "[2,] 0 0 1 0\n", "[3,] 0 1 0 0\n", "[4,] 1 0 0 0\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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} ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 6. IM1\n", "\n", "### 1. Is IM1 identical with IM1a?\n", "After writing out model IM1 we get equivalent system of equations\n", "\\begin{align}\n", "y &\\sim Sw + 1_k c + xa \\\\\n", "0 &\\sim 1_k w \\\\\n", "0 &\\sim x^T a\n", "\\end{align}\n", "model IM1a can be breaken down into the same system. The difference between IM1 a IM1a is only in interchange of rows/columns and they are equivalent to each other.\n", "\n", "### 2. Why does the matrix $X_p$ has that form in IM1?\n", "See first question. Matrix $X_p$ looks like that to fulfill conditions $0 = 1_k w$ a $0 = x^T a$.\n", "\n", "### 3. How do you calculate $\\hat{\\beta}$ a $\\hat{\\beta^*}$?\n", "Assuming full rank we get\n", "\n", "\\begin{align}\n", "\\hat{\\beta} &= (X_p^T X_p)^{-1} X_p^T y_p \\\\\n", "\\hat{\\beta^*} &= (X_p^{*T} X_p^*)^{-1} X_p^{*T} y_p\n", "\\end{align}\n", "\n", "### 4. What function would you use to calculate the estimate?\n", "``` R\n", "model = lm(yp ~ Xp)\n", "beta = summary(model)$coefficients\n", "```\n", "\n", "### 5. Describe the relationship of $\\hat{y}$ to $y$?\n", "$$\n", "\\hat{y} = X_p\\hat{\\beta} = X_p (X_p^T X_p)^{-1} X_p^T y = Hy,\n", "$$\n", "where $H$ is called *hat matrix* or *projective matrix*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "\n", "S_matrix = function(x,y){\n", " # distane matrix\n", " k = length(x)\n", " S = 1/12 * abs(x %*% t(rep(1,k)) - rep(1,k) %*% t(x))^3\n", "}\n", "\n", "IM1 = function(x, y){\n", " k = length(x)\n", "\n", " # distance matrix\n", " S = S_matrix(x,y)\n", " \n", " # design matrix\n", " Xp = matrix(0,k+2,k+2)\n", " Xp[3:(k+2),3:(k+2)] = S\n", " Xp[k+1,1:k] = rep(1,k)\n", " Xp[k+2,1:k] = x\n", " Xp[1:k,k+1] = rep(1,k)\n", " Xp[1:k,k+2] = x\n", " \n", " # yp\n", " yp = c(y, c(0,0))\n", " \n", " # linear model\n", " model = lm(yp ~ Xp - 1)\n", " \n", " # estiamtion of y\n", " yh = predict(model)[1:k]\n", " \n", " return(yh)\n", "}\n", "\n", "# sinus function\n", "n = 101\n", "x = seq(0,1,length=n)\n", "y = sin(2*pi*x^3)^3 + 0.1 * rnorm(n)\n", "\n", "# IM1 model\n", "par(mfrow=c(1,2))\n", "yh = IM1(x, y)\n", "plot(x, y, sub='IM1 model')\n", "lines(x, yh, col='blue')\n", "\n", "# spline method\n", "sp = spline(x,y,method='natural')\n", "plot(x, y, sub='spline(x,y,method=natural)')\n", "lines(sp$x, sp$y, col='red')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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QoUOH7du3E1FlZeWIESM++OADPSyXDAAi0Fpe1X34ofzduzdv3myoq5ONjaVu3ZrnlZYW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\nf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1dfXz8+Pk6/dLvder1eIBDQL5uamrZu3VpfXx+4AAHgvqFQKEpLS2c7ym63nz9/fs2a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\nTkSuQmCC\n" } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Radial basis function of spline IM1" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "library(rgl)\n", "\n", "save_3d = function(S, x, filename){\n", " slim = range(S)\n", " ncols = 50\n", "\n", " colorlut = terrain.colors(ncols + 1) # height color lookup table\n", " foo = trunc(ncols * (S - slim[1]) / (slim[2] - slim[1])) + 1\n", " col = colorlut[foo] # assign colors to heights for each point\n", "\n", " open3d()\n", " rgl.viewpoint(theta=0,phi=30,fov=60)\n", " par3d(windowRect=c(100,100,600,600))\n", " rgl.surface(x,x,S, color=col, back='lines')\n", " bg3d(\"white\")\n", " decorate3d()\n", "\n", " snapshot3d(filename)\n", "}\n", "\n", "S = 10 * S_matrix(x,y)\n", "save_3d(S, x, 'basal.png')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image(filename='basal.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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AGDFhHrwP6EH/O+b2TOr3MYP6PDS4X6LfNx3cRFW+4rcVypHsjdl1Cuok/rTV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\nMOIBwDjRIXcnGKVoTLeTZFtldadQUm5qxfd1UCj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"prompt_number": 23, "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "S = S_matrix(x,y)\n", "image(x, x, S, asp=1, col=terrain.colors(30), axes=FALSE, xlab='', ylab='')\n", "contour(x,x,S,add=TRUE)\n", "abline(a=0,b=1, col='red', lw=2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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UhTams9FJ/aYpTuyc3SGdxQ5+ZDHSx8DyJfGDq2fbDqUJqT/Wcg6kCaZzCJC3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\ns3AGKj03nIVtl5t0DmpHXRk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} ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 7. PRM1" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800 -h 800\n", "sqrt_matrix = function(a){\n", " # hack positive definiteness by replacing negative values with zeros\n", " a.eig <- eigen(a)\n", " eig_values = pmax(a.eig$values, 0)\n", " a.sqrt <- a.eig$vectors %*% diag(sqrt(eig_values)) %*% solve(a.eig$vectors)\n", " return(a.sqrt)\n", "}\n", "\n", "PRM1 = function(x, y, lam, method=1, return_model=FALSE){\n", " # method == 0 -> estimation by hat matrix\n", " # method == 1 -> estimation with lm function\n", " k = length(x)\n", "\n", " # matrix Sp\n", " S = S_matrix(x,x)\n", " Sp = matrix(0,k+2,k+2)\n", " Sp[3:(k+2),3:(k+2)] = S \n", "\n", " # matrix X\n", " R = sqrt_matrix(Sp)\n", "\n", " # matrix Xdm\n", " Xdm = cbind(rep(1,k), x, S) \n", " \n", " if(method == 0){\n", " # matrix H\n", " H = Xdm %*% solve(t(Xdm) %*% Xdm + lam * Sp) %*% t(Xdm)\n", "\n", " # estimate y\n", " yh = H %*% y\n", " return(yh)\n", " \n", " } else if(method == 1){\n", " # matrix Xp\n", " Xp = rbind(Xdm, sqrt(lam) * R)\n", "\n", " # vector yp\n", " yp = c(y, rep(0, k+2))\n", "\n", " # linear model\n", " model = lm(yp ~ Xp - 1)\n", " if(return_model){\n", " return(model)\n", " }else{\n", " yh = predict(model)[1:k]\n", " return(yh)\n", " }\n", " }\n", "}\n", " \n", "polyfit = function(x, y, d=12){\n", " return(predict(lm(y ~ poly(x, d, raw=TRUE))))\n", "}\n", "\n", "lam = 4.774251e-6\n", "\n", "par(mfrow=c(2,2))\n", "plot(x, y, sub='smooth.spline')\n", "sp = smooth.spline(x,y,all.knots = TRUE, cv=TRUE)\n", "lines(sp$x, sp$y, col='blue')\n", " \n", "plot(x, y, sub='PRM1')\n", "lines(x, PRM1(x,y,lam=lam,method=0), col='blue')\n", " \n", "plot(x, y, sub='12 degree polynomial')\n", "lines(x, polyfit(x,y,d=12), col='blue')\n", "\n", "plot(x, y, sub='PRM1a')\n", "lines(x, PRM1(x,y,lam=lam,method=1), col='blue')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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MgTt3ICWF7fNKXR0uXKC6iL6H/U4nI7bQ2trq5eWlp6enq6vr7+8PAPr6Bh4e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\n1AGIioKICNTUQEZGBud5lZEhMGs0AA6wEOpgOncGF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} ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000 -h 700\n", "library(psych)\n", "\n", "MSS = function(x,y,lam,fun){\n", " # return MSS error for estimation PRM1 (assuming you know the original function)\n", " yh = PRM1(x,y,lam)\n", " # real function values\n", " yr = fun(x)\n", " return(mean((yh - yr)^2))\n", "}\n", "\n", "\n", "OCV = function(x, y, lam){\n", " k = length(x)\n", " model = PRM1(x, y, lam, return_model=TRUE)\n", " hat = influence(model)$hat[1:k]\n", " \n", " yh = predict(model)[1:k]\n", " return(mean((yh - y)^2 / (1 - hat)^2))\n", "}\n", "\n", "GCV = function(x, y, lam){\n", " k = length(x)\n", " model = PRM1(x, y, lam, return_model=TRUE)\n", " hat = influence(model)$hat[1:k]\n", " \n", " yh = predict(model)[1:k]\n", " return(k*(sum((yh - y)^2) / tr(diag(k) - hat)^2))\n", "}\n", "\n", "\n", "plot_cv = function(title, x, y, objfun, yfun,...){\n", " fun = function(lam) objfun(x,y,lam,...)\n", " \n", " # find minimum lambda\n", " f = function(lam) objfun(x,y,exp(lam), ...)\n", " opt = optimize(f=f, lower=-20, upper=0)\n", " opt_lam = exp(opt$minimum)\n", " \n", " # plot surrounding lambdas\n", " lambdas = seq(opt_lam /5, opt_lam * 5, length.out=30)\n", " error = lapply(lambdas, fun)\n", " \n", " # plot lambdas\n", " plot(lambdas, error, type='l', ylab=paste(title, '(lambda)'), xlab='lambda', \n", " sub=paste('lambda(MSS)=', sprintf(\"%.7f\",opt_lam)))\n", " points(opt_lam, fun(opt_lam), pch=19, lwd=5)\n", " \n", " # plot spline\n", " plot(x, y, sub=paste('penalized regression spline', title))\n", " lines(x, PRM1(x,y,opt_lam,method=1), col='blue')\n", " lines(x, yfun(x), col='red')\n", " legend('topleft', c('E[y]', 'odhad y'), col=c('red', 'blue'), lty=1)\n", "}\n", "\n", "# MSS\n", "fun = function(x) sin(2*pi*x^3)^3\n", "par(mfcol=c(2,3))\n", "plot_cv('MSS', x, y, MSS, fun, fun)\n", "plot_cv('OCV', x, y, OCV, fun)\n", "plot_cv('GCV', x, y, GCV, fun)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hQToId+CODkwTHh5eXV29cOFC0kFIovZujj7uwEy3bt2Kjo5m48Fq1Dxx37Bhw+TJk/ft\n28fj8RT8nzzgpOvXrx8+fFj6NxyogsIdGOXq1atHjhxR8GlO+d1cW1u7urq67eMAUKiysnLRokUH\nDx5k4z4Wagr3Z8+epaWllZeXP3jwgJIBAZijtLR08eLFhw4dYuMMZ7J27dq9fPmSdAoAHo/HKy4u\nXrp0KaY57uagCBwcHNatW2diYkI6iCyoKdxLS0vv37+/bNmy3bt3V1VVUTImABNIj0708fHBTjXK\nKSkpkY4AwOPxeCKRyNraevv27V26dCGdhTA67uYSiYSScQAoERAQ0KNHj2nTppEOIiNqCndPT8/0\n9HRdXd158+Z17dqVkjEBmMDT03PChAljxowhHQQA6PLLL79MmzZt3LhxpIOQ5+npeenSJV1dXWdn\nZ3yNAe65du1aQkKCp6cn6SCyo2Zz6sOHD42MjAQCQVBQkJOTEyVjAhB3/Pjxhw8fRkREkA7CIBKJ\nBE/KgUsiIyOfP3++bds20kEYITY2NiMjQygULl68WCgUUjKmqqoqulYAE5SVlbm4uJw6dYrVJ7FQ\n88Q9KioqMjLy4cOHlZWVOFEFuOHu3bv79+8PCAggHYQpYmJixowZM2nSpLFjxx4+fJiSMZWVlUUi\nESVDAcjgxo0b0dHR/v7+pIMwBR1r3PX09CorK6kaDUBmzs7OGzZsYPurJGoK9+jo6BEjRigrKw8e\nPBhP3IEDKisr7e3tIyMjtbS0SGdhCoFAkJmZmZaWlpGRcf78eUrG1NPTw64YIKW0tNTFxQUbUt9E\nxxp3Pp+PjpBAnI+Pz8CBA6dOnUo6SFtRU7grKSktX77c2Ni4rq6OkgEBCJJIJDY2Nhs3buzevTvp\nLAxSW1ubnp5eVFSUkZFBVX83dIQEUkQi0cKFC318fIyMjEhnYZCGHWvOzs5U7VjDNAfi0tPTL168\nuG7dOtJBKEDNKp+YmBh/f38tLa2amprDhw+bm5tTMiwAET4+PmZmZpMnTyYdhFl8fX39/f1DQ0ON\njY2p2tmDOzqQsmHDhilTpmDfeSP9+/fv37+/9IfAwEBKxsQ0B7JKSkrc3NxOnz4tPVmM7agp3KXv\n0JWUlCQSib29PQp3YK+zZ8/+8ccfR48eJR2EcUJDQ69evTpjxozFixcvWLAgOjq67WPiHToQcfz4\n8YKCAlZ3lqDJzJkzq6qq1NXVpR/PnDnT9jFxeCoQJBKJLCwsdu/ebWBgQDoLNagp3KXv0Pv27ZuT\nk/PuO/Ty8vI5c+aIxWLpxzt37kyYMIGS6wJQKy8vz8PDQyAQoHHKu6S71rZs2ULhrjU8igP5y8rK\n2r9/f0pKCukgTOTh4XHhwoVly5Z96De8ePEiNze34WNLKnJMcyBo69atkyZNGjVqFOkglKGmcPf1\n9Q0MDDxw4ICJiYm3t3ejX+Xz+ampqQ0f582bx5nvPcAl1dXVlpaWBw4c4PP5pLMwUcOutbVr11K1\naw13dJCziooKBweHw4cPY9/5e5mZmXXt2rWJrq9ZWVlvPobPzs4Wi8VNr0Dg8/kFBQUUBwVogbNn\nz96+fZtjr9CpKdwvX7588eJFLS2t3NxcU1NTLJUBNlq6dKmzs7OZmRnpIAwl3bVmbW3t7Oy8Z88e\nSsbU19cvLi6mZCiAZkn3nW/atAn7zj8kNja2Yceas7Pzu3fzzz///PPPP2/4GBIS0uyY+vr6d+/e\npTgoQHMKCgo2bNiQkpLCsVfoWOMOwOPxeKGhoe3atZs7dy7pIMxFx641PT29nJwcSoYCaJafn5+p\nqemkSZNIB2EuOu7meLEG8ldfX29raxsUFMS9V+jyWOMOwHC3bt06fPiwQCAgHYTR6Ni1xufzcUcH\n+bhw4UJ6evqJEydIB2E0Ou7m2JwK8rd+/frvvvtuyJAhpINQj8o17tI+ce+ucQdgspKSkp9//jkh\nIaGhJIX3anbXmgzQVQbkIzc3d/369QKBgBv94OhDx90c389BzhISEgoKCrhajlJTuJuYmHh5eUl/\nDgkJcXBwoGRYALqJRCJLS0s/Pz+2n4EsB83uWnN1df3zzz+lPwuFwpcvXzY7Jt6hgxwIhUIrK6uw\nsDAdHR3SWZiOjru5np4epjnITX5+/vbt2zn8Cp2awl1KekeXroIFYIX169d/8803o0ePJh2EBZrd\ntebj49Pwc05Ozvjx45sdE4U7yIGTk9OKFSv69etHOghrUHs319DQqK2tpWQogKa9fv164cKF/v7+\n+vr6pLPQhZqXhjExMWPGjJk0adLYsWPz8/MpGROAbvHx8YWFhUuXLiUdhB2ku9bS0tIyMjLOnz9P\nyZhaWlrYFQO0CgwMNDQ0nDFjBukg7EDT3ZxjbT2Asdzc3MzNzYcNG0Y6CI3QVQYUVHZ29t69ezn8\nNo1y2IMOrJOenp6cnJyQkEA6CGvgbg7sFR8fX1FRYWtrSzoIvdBVBhRRZWWltbV1dHQ0DmFpOexB\nB3YpLCx0d3c/c+aMiooK6SysQdPdXCKRUDUUwHv9/fffO3fuTEtLIx2EdugqA4rIycnpl19+6d27\nN+kgbII96MAidXV1lpaW/v7+HTp0IJ2FTWi6m0uXuWtoaFA1IMCbqqurbW1tDx061K5dO9JZaEd9\nVxkAhtu9e3fPnj2//fZb0kFYifI96Kqqqq9fv1ZTU6NqQAAej+fu7j537txPPvmEdBCWoelurq+v\nX1lZaWBgQPnIADweb+XKlS4uLn379iUdRB7Q0RYUy+XLl9PS0rZs2UI6CPvQtGtNekenajQAHo8X\nGRn56tUrOzs70kHgXziDCegTHR1dV1enOAefU9kOEoDhCgoK3N3dk5KScAiLDGjatSbtCNmxY0dK\nRgPIzs4ODw/HvnNGQeNXoEl2dnZISMjZs2dJB5EfFO6gKOrr621tbf38/LDmVTY07VrDHR0oVFVV\nZWtrGxMTg33njIJpDnQQCoX29vYHDx7U1NQknUV+ULiDonBzc5s5cybOWpIZTbvWcEcHqojFYgsL\nC09Pz549e5LOAm/h8/mY5kC5pUuXLlmyRNH6TKBwB4UQFRVVWVlpb29POgiL0bdrDYtfgRJeXl4j\nR46cMGEC6SDQGKY5UC4yMlJNTW327Nmkg8gbCnfgvqysrLCwMKx5ZSY8igNKpKSk3L59Oy4ujnQQ\neA99ff3c3FzSKYA7/vnnnwMHDpw7d450EAJQuAPHVVRU2Nvbx8bGKtQaOBbR19ensEcNKKbc3Nyt\nW7empKQoKSmRzgLvge/nQKGqqioLC4vDhw8r5lYW9NYALpNIJDY2Nps2berevTvpLPB+WOMObSQU\nCq2srMLCwnR1dUlngffDNAcKOTk5rVu37uOPPyYdhAwU7sBlfn5+pqamkydPJh0EPgh3dGgjR0dH\nZ2fnfv36kQ4CH4Q17kCV8PDwTp06KfIRilgqA5x16dKlS5cuJSQkkA4CTeHz+bijg8xCQkI6deo0\nZ84c0kGgKfh+DpS4efNmTEyMgu9YQ+EO3FRQULB69erk5GSctcRwuKODzK5evRofH5+UlEQ6CDQD\nByRD21VWVi5atOjo0aNqamqks5CEwh04qK6uztLSMjAwsH379qSzQDP09PRQuIMMSkpKlixZkpCQ\noKqKGxnTqaio1NfXk04B7Obo6Lhu3ToTExPSQQjDw0jgIHd397lz5w4dOpR0EGiehoZGXV0d6RTA\nMmKx2NbW1svLq0uXLqSzAADtgoKCjI2Np0+fTjoIeXhQAVyTkJBQWlqKs5YAOGzLli3jxo0bP348\n6SAAQLsbN24cP35cwZe2N0DhDpxy//59Hx+f1NRU0kEAgC4nT5588ODBoUOHSAeBVkCLfZBNRUXF\nokWLjh8/jkVxUvivANxRVVVlaWkZGxvbrl070lkAgBYPHjzw9fXFszfW0dLSEgqF2trapIMAm0gk\nkoULF27YsMHY2Jh0FqbAGnfgDkdHx7Vr1+KsJdZRV1evra0lnQJYQHrWUnh4uI6ODuks0DroHwUy\nCAkJ6d2799SpU0kHYRA8cQeOCAwMNDEx+c9//kM6CLSa9Dj0zp07kw4CTLdkyZLFixf37duXdBBo\nNek0NzIyIh0EWOPmzZtHjhzB2tdGULgDF1y5cuXEiRMpKSmkg4AspI/iULhD08LCwnR0dGbPnk06\nCMgCh6dCq5SVlTk5OSUmJip41/Z3oXAH1istLV25ciXaObMX3qFDs65fvx4XF5ecnEw6CMgI0xxa\nTiKR2Nrabtu2Df1e38W4Ne41NTVPnz4lnQJYQyKRODo6bt68GdObvXBHh6aVlZW5uLhERUXh2Rt7\nYZpDy/n5+Q0dOhT9Xt+LysJdIpG0fZDbt2/7+fm1fRxQEDt37hw6dOjkyZNJBwHZ4R06NKHhrCVD\nQ0PSWUB20jXupFMAC2RmZp4/f97Dw4N0EIaiZmlBTEyMv7+/lpZWTU2Ns7Ozubm5zEMZGRkVFhZS\nkgo4LzU19erVq0ePHiUdBNoEd3Rogre398iRI/Hsje309fULCgpIpwCmKy0tXbFixenTp5WVGbck\nhCGoKdwFAkFmZqaSkpJEIrG3t29L4d6lS5fi4mJKUgG35efnb9y4MSUlBed6sJ2+vn5ubi7pFMBE\nqampt27dwpdzDsBSGWiWWCy2sbHZsWMHehU0gZrCvba2Nj09vW/fvjk5OdXV1W0ZSk1Nra6ujpJU\nwGF1dXWWlpbBwcF8Pp90FmgrPT093NHhXU+fPt2wYUNSUhK+nHMACndo1o4dO0aOHPnll1+SDsJo\n1BTuvr6+gYGBoaGh2tra3t7elIwJ0IT169f/9NNPgwcPJh0EKIClMvCuurq6+fPnh4SEdOzYkXQW\noACmOTTt8uXLmZmZp06dIh2E6ahZQpSVlfXFF1+Ym5sXFRXdvXu3jaNpamrW1NRQEgw46dixY6Wl\npYsWLSIdBKiBR3HwLldXVxsbG3w55wzsQYcmFBUVrVq1KjIyEkvbm0XNE/eoqCixWPzll19WVlY+\nfPiwjaMZGhoWFRX16NGDgmTAOdnZ2fv378dRalzC5/NxR4c3RUVFVVdXL1iwgHQQoIyuru7Lly9J\npwAmEolEVlZWu3fv7tChA+ksLEDNN5vo6OgRI0YoKysPHjzYycmpjaMZGRmhlTu816tXr+zt7cPC\nwjQ1NUlnAcro6elVVlaSTgFMkZWVFRYWtm/fPtJBgErS9hWkUwAT+fj4fP7556NGjSIdhB2oKdyV\nlJSWL19ubGxMyb5S6RP3to8D3OPg4ODu7t67d2/SQYBKqqqq9fX1pFMAI1RWVtrb20dGRuLLOfeg\ncId3paenX758ee3ataSDsAb1fdwPHz7clnaQPDxxhw8IDg42MjL69ttvSQcBALo4Ojr+8ssv3bt3\nJx0EAGhXWFjo5uaWkpKCpe0tx7g+7jwez9DQMCsri5JgwBnXrl2Lj49PTk4mHQQA6LJ79+7evXtP\nnz6ddBCghbRIQHNPkBKJRNbW1nv37m3fvj3pLGwipz7uDx8+FIvF0p9fvnxpYGDQxGhGRkZYKgNv\nKi0tXbx4cUJCgqoqNX9jAYBp0tPT09LS0AyOw6T7U3V1dUkHAUbYuHHj1KlTR4wYQToIy7y/DBKL\nxa16bSHt437gwAETE5N3+7hXVFRs27atYXFbdnZ204fmGBoaYqkMNBCLxba2tt7e3l26dCGdhVNa\nO81ppaWlVV1draWlRToIkPH06dNVq1YlJSUx5+8kNzBqmks7QqJwBx6PJxAI7t27h0ORZfBW4V5S\nUrJ3796ioqK6ujp1dXVDQ8MlS5Y0/XRc6vLlyxcvXtTS0srNzTU1NW20VEZfXz8oKKjh47x585o+\nUAMtJuBN27ZtGzVq1FdffUU6CEfIPM1pJW3ljsJdMdXX11tbW6MZHIWYPM1NTEzIxgDiHj16tH79\n+nPnzmHdlAzeKtzj4+NdXV319fV5PN7jx4/19fVjY2Nb0t6R2jXuAA3Onj1748aNY8eOkQ7CHTJP\nc1pJH8UZGhqSjQFEbNmyZfLkySNHjiQdhDuYOc1xeCrweLzXr19bW1uHhoY2vfgCPuStwt3JySko\nKCgxMVFTU7OkpCQ9Pb2F87zZNe6tpayszFpjuAcAACAASURBVKgXfEDEs2fPPDw8zpw5gy/lFJJ5\nmtMKd3SFlZqamp2dfeTIEdJBOIWZ0xyHpwKPx1u/fv3MmTOHDBlCOghbNV7jfvv2bXNz83HjxgUE\nBLR8FOka99DQUGNj43fXuMugU6dOpaWlnTt3bvtQwFKvX782NzcPDg7u1KkT6SxcI9s0b1BfX0/5\nLmHpO3RqxwTmy83N3bJlS2pqKr6cU66N05wOmOZw6tSpgoKCbdu2kQ7CYo3vvsXFxX369ElKShIK\nhS0fxcTExMvLS/pzSEiIg4NDG2NJG8ugcFdk69evnzVrFr6U00G2aR4cHHz06NFp06YlJCSMHz9+\n8+bNFEbCHV0BVVdXW1lZhYeHt2vXjnQWDpJtmtNKX1//+fPnpFMAMQ8fPty+ffvZs2dJB2G3xmtR\n1q1bZ2JiUlJSMnbs2NaOJe0b079//7bHQmMZBZeQkFBUVMSEd7ucJNs0v3nzZmpqalJSUnp6OuV3\nX7xDV0ArV650dnbu27cv6SDc1Pa7OeWwIk6R1dXVWVtbBwcH6+jokM7Cbm89cZ87d+79+/dFIpFE\nIuHz+XPnzm3hKG+enOrs7Nz2WIaGhmjlrrDy8vJ8fHxSU1NJB+Emmad5dXV1YmJiYWFhTk5ObW0t\ntan4fD6mvEI5dOiQsrLynDlzSAfhJqru5tS2mtDT00PhrrA2bNgwc+ZMMzMz0kFY760n7nFxcf36\n9btx48bNmzc/+uijlo8i7SqTlpaWkZFx/vz5tscyMjLCE3fFVFtba29vj7fn9JF5mq9atSovLy8x\nMXHr1q2zZ8+mNhWWyiiUu3fvxsTE7Nq1i3QQzmLO3fxNfD4fL9YU04kTJwoLC11cXEgH4YLGa9yf\nPXv24sULHo9XXFzc8lEo7ypjZGSEB66Kyc3Nzd7eHm/PaSXbNB80aNCgQYN4PN7Bgwcpj4TCXXFU\nVVU5ODjExsaqqamRzsJlDLmbvwnTXDHl5ub6+PicO3eOdBCOaFy4e3h4TJ8+XV1dfevWrS0fhfKu\nMljjrphiYmJEIhHentNNtmk+c+bMqqoqdXV16cczZ85QGAl3dMXx888/b9q0Cafw0E3mu7m/v7/0\nbu7p6UltJKxxV0C1tbXW1tYHDhzAW3SqNC7ck5OT27dvr6KicvHixc8//7yFo7zZVYYSBgYGJSUl\nFA4IzHfv3r3Q0FCBQEA6CPfJNs09PDwuXLiwbNkyOiKhcFcQQUFBH3/88cSJE0kH4T7ZpnloaOjV\nq1dnzJixePHiBQsWREdHUxhJW1v71atXFA4IzOfq6mptbS19WwuUaFy4379/Pzk5mcfjzZo1i0Se\nf6moqIhEIoIBQM6EQuHPP/8cGRmpoaFBOgv3yTbNzczMunbtSlMkPT29yspKmgYHhrh27ZpAIDhx\n4gTpIApBtmn+7NmztLS0LVu2PHjwgLZooCgOHz788uVLKysr0kE45a3CvbS0VFtbOyMjg8fj6erq\nEooEimjp0qWurq7dunUjHYT7ZJ7mysrKBgYGNKWSHpZM0+DABGVlZStXrjx58iSOxJYDmad5aWnp\n/fv3ly1btnbt2qqqKtoCAvfdu3cvMDAQS9sp91bhvnHjRj09vbi4OB6Pp62tTSjSv9q1a/fq1Sss\nilIEsbGxenp606dPJx1EIcg8zWld4w7cJpFInJ2dPT09O3ToQDqLQpB5mnt6eqanp1tbWzs7O+/Z\ns4e2gMBx1dXVdnZ24eHhmpqapLNwzVuF+/79+3k8Xk1NDaEwb5G2cv/4449JBwF63bt37+DBg6gC\n5Ubmad7sGveampqGNhSVlZU0neECbLR9+/bRo0ePGzeOdBBFIfM079+/v/QUxf79+wcGBlIeTLoO\nVkVFhfKRgVGWL1++ePFiNIijQ+M17ubm5kpKStIuXXQ0fWu5rl27FhYWonDntsrKSicnpyNHjqAx\nnDzJNs2la9wlEomSktJ7f8PGjRuvX78u/VkoFLb2oHUlJaUmBgf2Onfu3K1bt6RPf0FuZJvmdL9Y\n09fXr6ysbN++PbXDAqNERUWJxWI0iKNJ48LdwMCAIW/HcHiqInByctq4cWOXLl1IB1Essk3z2NjY\npo9U3LZtW8PPOTk548ePb9X40tVxOA2bYwoKCrZu3YpXavIn2zRv9sWaWCx+swFUa1+s6evrl5eX\no3DnsOzs7AMHDpw9e5Z0EM5qXLhXVFTMmDGDz+fzSD9xNzIyKigoIBgA6LZv376BAwd+9dVXpIMo\nHNmmufRIRelzcXt7e2rPQuf9ryMkCncuef369cKFC/fv34//rfIn2zRv9sVaamqqn59fw8fWvlhD\n41duq62tdXR0DA4OxtJ2+jQu3F+/fh0VFcWEdQuGhoYNr92BezIzM8+dO5eQkEA6iCKSbZrTeqQi\n73939FYdzw4Mt3btWmtra1NTU9JBFJFs07zZF2tTp06dOnVqw8fW7jZG4c5ty5cvd3R0HDBgAOkg\nXNa4cNfR0cnMzJR+Rx81ahSJSP8yMjLC4alcVVpaumbNmoSEBDSGI0K2aU75AcmN8Pn88vJyyocF\nUuLj41+8eDF//nzSQRSUbNNcPi/WqB0TGOLgwYPq6uqY8nRrXLj36dPnzp07PB7v8ePHxAt3rHHn\nJLFYbGdnt3PnTjSGI0W2af7mAckhISEODg7UpsIdnUvu3bu3d+/e1NRU0kEUl2zTnO4Xa/h+zlW3\nbt2Kjo5OSUkhHYT73vPEPTExUVNTs6SkhEigBlpaWq1dPAes4O3t/cUXX4wcOZJ0EMXVlmkuXfwq\nbRhHLRTunCEUCh0cHNDCmSzZpjndL9b09fULCwspHxbIqqysdHZ2jouLY8JCa85rXLjfvn3b3Nx8\n3LhxAQEBRAIBt507d+7PP/88cuQI6SAKTbZpHhMT8+biV8pToXDnDEdHR1dX1969e5MOotBkm+Zy\neLGWnZ1N7ZhAnJOT0+bNm01MTEgHUQiNC/fi4uI+ffokJSUx4Wm3qqpqfX29qmrjkMBSBQUFHh4e\nKSkp6NVNlmzTXA6LXx8/fkztmCB/YWFhBgYG3333Hekgiq4td3O8WIOWCwgI6N2798SJE0kHURSN\ntwauW7fOxMSkpKRk7NixRAK9qXPnzsXFxaRTADVev35taWkZFBQk3SwFBMk2zaWLX4uKijIyMmjq\nKlNZWUn5sCBPd+7ciYqKomOJBbSWbNM8JiZmzJgxkyZNGjt2bH5+PuWp+Hw+CncuuXbtmkAg2Lhx\nI+kgCuSth9nXrl3j8XiFhYXTp08nlOct0jOYunbtSjoIUGDLli3ffffdkCFDSAdRdDJPc3SVgaZV\nVFTY29sfO3ZMQ0ODdBZFJ/M0l8OLNUxzzigrK1uyZAkaxMnZW4X7f//73zc/fvrpp/IN0xg6QnLG\nyZMnHz16tHnzZtJBQPZp/ubiVzrgHTqrSSQSKyurrVu3Ghsbk84Csk9z+RzXQPmwIH8SicTBwcHP\nz69z586ksyiWtwp3CwuLRqefFBQUEDwPxdDQEIU7B+Tl5fn6+qIxHEMwbZo3wB2d1fz8/IYMGTJh\nwgTSQYDHa8M0p/vFmoaGRm1tLeXDgvz5+vqOHj2abN9wxfRW4Z6ampqTk9OvX79u3bo9fvz477//\n7tOnj42NDalwRkZGv//+O6mrAyVqa2vt7OzCw8PbtWtHOgvweMyb5g10dHRevnxJOgXIIj09/eLF\ni6dOnSIdBP4l8zSn+8UacEN6evq1a9diY2NJB1FEbxXuNjY2QqHwxo0b9+/f79279+zZs7W1tUkl\n4+EMJk5wdXW1t7fv27cv6SDwL6ZN8wbSZbWkU0CrFRUVrVq1KikpCetcmYOx0xw44Pnz5+vWrTtx\n4gQaxBHRuNOitrb2559//vnnnxNJ0wiWyrBddHS0SCSaO3cu6SDwFkZNc2A1kUhkZWW1e/duHITM\nNJjmQAeRSGRpablv376OHTuSzqKgGN0ivWPHjs+fPyedAmSUnZ0dFhYmEAhIB4G34GwEoNCWLVum\nTJmCg5CZhsnTXF1dvba2Fq2HWGrTpk3ffffd4MGDSQdRXG+92UxLSzt27Ni1a9fGjh0bERFBKlMD\nJSUlsVhMOgXIQigULlq0KDIyEv86M83EiRM9PDwePXpEOsh7KCsrY8qziEAguHv37vLly0kHgcaY\nPM1xYgN7paSk5OfnU36eLrTKW4X7vn37pkyZEh0dnZaW9uuvv8owXH19PUXBgN2WLFni6urarVs3\n0kGgsYsXL06cOHHTpk2zZ89m2m5CXV3dqqoq0imgRR4+fLh58+awsDCsc2UgJk9z9I9iqby8vJ07\nd/r7+5MOoujeKty7du2qp6enqampqanZql1iwcHBEydO9PX1HT9+vIeHB4X5cCYLG0VERHTq1Ikh\nx3hBI0pKSl9++aWvr+/QoUNXrFhBOs5bcEdni7q6Ohsbm+DgYF1dXdJZ4D2YPM1xW2ej2tpae3v7\n4OBgLS0t0lkU3VuFu1Ao3Lp164ABA7Kzs1vVl+3mzZupqalJSUnp6enUrkpHYxnWuXXr1okTJ7Zu\n3Uo6CLxfZmamlZWVlZXVwIED//77b9Jx3oLCnS08PDx++uknMzMz0kHg/TDNgVorVqxwcHDo06cP\n6SDw9ubUTZs2paenz549++jRo63q5FpdXZ2YmFhYWJiTk0Pt2QpdunQpKirq378/hWMCfV69erV8\n+fKoqCgVFRXSWeD9jh8/vnbtWmY26MQdnRUSExOfPHmybds20kHggzDNgUKHDh1SVlaePXs26SDA\n4zV64n7//n0NDY2//vorMDDw4sWLLR9l1apVeXl5iYmJnp6e1P6vxRN3dnFxcVm9ejXOPGcyPz+/\n9u3b83i8a9euMa1vur6+Pt6hM9y9e/d8fX3DwsJIB4GmMHyao3BnkaysrOjoaD8/P9JB4F/UbE5N\nT08/e/ZsQkLC/fv3//jjDwrzGRkZFRYWUjgg0Gf//v29e/f++uuvSQeBpnh4eBw7dozH48XHx69e\nvZp0nLfw+Xzc0ZlMKBTa29uHhYVpamqSzgJNYfg0x/dztqisrJROeTU1NdJZ4F/UbE69efNmcnJy\nWlpaZmYmtQ/IDQ0N8cSdFa5cuXL27Nk1a9aQDgLNePTo0aJFi3g8nre395MnT0jHeQsexTHckiVL\n3NzcevfuTToINAPTHCjh6Oi4bt06ExMT0kHg/1GzObW4uLi4uDggIEAoFFJ71qmRkREOT2W+0tLS\n1atXHzx4EGeeM9+b/4+Y1sgPd3QmCw8P5/P53333Hekg0DwmT3M9PT30cWeF4OBgY2PjadOmkQ4C\nb3mrzNq0aVOPHj3mzZt3/fr1Vm1OXbNmTWJiYq9evc6cOWNra0thPkNDw2fPnlE4IFBOLBbb29v7\n+PjgzHNW6NChQ2ho6N9//x0UFCRdBcscKNwZ6+bNm3FxcdiQyhZMnuZYEccK165dO378eKtKQZCP\ntwr3Ll26/PTTT2Kx+KeffjIyMmr5KDk5OZGRkZMmTdqzZ8+LFy8ozCc9G5nCAYFy27Zt++KLL0aM\nGEE6CLSIj4+PiorKvn37VFVV9+zZQzrOW7D4lZkqKiqWLl166NAhVVXV5n83MADDpzm1dQJQrqSk\nZPHixTExMVjazkBv/SuspaU1bty4zp07Sz8eP368haMIBILMzEwlJSWJRGJvb29ubk5xTGCqc+fO\n3bp168iRI6SDQEs9f/48PT39yZMnr1+/njNnDqMO0METdwaSSCQ2NjabN282NDQknQVa6sWLF6am\npvn5+b/99ltWVtauXbtIJ/p/WCrDcCKRyMLCYteuXQ3VIDDKW4X79evXo6OjX758+cMPP0yZMqXl\no9TW1qanp/ft2zcnJ6e6urrRr1ZXVwcGBr5+/Vr68d69ezo6Oi0fXENDo7a2VkNDo+V/BOSjsLBw\nw4YNycnJTFtDCU1wc3NzcXEZPnz49evXlyxZEhERQTrR/0PhzkB79uz59NNPv/rqK9JBoBXWrl1r\na2v75MkTS0vLjIwM0nHeoqqqWl9fTzoFfNCGDRumTp06atQo0kHg/d4q3IcNGzZs2LCampro6Ggz\nM7O7d++2cBRfX9/AwMADBw6YmJh4e3s3+lUVFZXu3buLxWLpRx0dnVadztOlS5dnz55169at5X8E\n5KC+vt7W1jYoKIjP55POAq2grKw8fPhwHo83fPhwpjV41tbWFgqFpFPA/8vIyLhy5QpeqbGORCIZ\nMWLEf//73y+++CI0NJR0HGCNkydPPn782NPTk3QQ+KC3CneJRHL9+vWoqKjq6up9+/a1fJTLly9f\nvHhRS0srNzfX1NS00VIZdXX1mTNnNnw8ceJEq3oASxvLoHBnmnXr1n3//feDBw8mHQRaRyQSkY7Q\nFKZ9l1BkJSUlv/zyS0JCAl6psY60L9zatWt5jJ/ywBwPHjzw9fUVCASkg0BT3ircP/300/bt21tY\nWHTs2PHdFS9NoHWNO1q5M9DJkyefPn2KFhNs1LFjx+jo6G+++SYlJaVjx46k4zSGGpEhJBKJg4PD\n9u3bmdaTBFrC2Ng4ODh4ypQpycnJrWo1AQpLKBRaWVmFh4e3ajEzyN9bXWXs7e1/+umn6urq/Pz8\n/Pz8lo8iXeNeVFSUkZHRqoq/JVC4M82TJ0927tzZqncywBzbtm0rKipycXF59uwZvnrBh2zatOnz\nzz/HOleW2rZtm6qqqpeXl7Ky8vbt20nHaUxbW5vyUgHaaMmSJS4uLn379iUdBJrx1hN3Jycn2UaR\nrnEPDQ01NjZ+d417GxkZGf3zzz/Ujgkyq66uNjc3j4iI0NPTI50FZKGmpubq6ko6xQepqKiIRKJW\nbYMByqWkpGRnZ8fFxZEOAjJSVla2tbWl9lgVCunr65eXl2tpaZEOAv8KCwtr167dnDlzSAeB5lHT\nlNfExKShS39ISIiDgwMlw0oZGRnhiTtzLFu2zNnZuV+/fqSDADdJG8vgMC+C8vLyPD09U1NTsWwJ\naCKd5ljDwxDXr1+Pi4tLTk4mHQRahMoD6qW7yvr370/hmDwez9DQ8OnTp9SOCbI5ePCgqqrq3Llz\nSQcBzkJHSLKqq6stLCyCg4OxzhXog2nOHGVlZS4uLlFRUThriS2oeeIeExPj7++vpaVVU1Pj7OxM\nyZgNcJgiQ9y8eTM6OjolJYV0EOAy3NHJWr58uYuLi6mpKekgwGWY5gwhkUicnJw2bNiA49VYhJrC\nHSencl5FRYWzs/ORI0fwpRxohTs6QRERESoqKnilBnTD8ziG2LJly6effvrNN9+QDgKtQE3h3vTJ\nqW0n/UqABZekSCQSa2vrLVu2mJiYkM4CHCfdtUY6hSK6ceNGTEwMXqmBHOD7OROkpKRkZWVhDzrr\nUFO409pVhsfjdezYsaysrFOnTpSPDC2xe/duU1PTiRMnkg4C3Mfn83FHl7/y8nIXFxe8UgP50NfX\nx9Y1snJzc7du3SoQCPBIlHWo7ypDB2ljGRTuRKSnp58/f/7UqVOkg4BC0NfXLywsJJ1CseCVGsgZ\nnriTJT1rKSwsDHvQ2YjKrjL0QWMZUp4+fbpq1arIyEhlZXb8VQG2wx1d/nbu3PnJJ5/glRrIDda4\nk+Xk5LR8+XK0dWYpap640w2HpxIhEomsra13796NptogN3p6epWVlaRTKJDMzMyLFy+ePn2adBBQ\nIPh+TlBwcLCBgcEPP/xAOgjIiDWFe3Z2NukUCsfLy2vixIkjR44kHQQYRCQSSSQSVVW6/uno1KlT\ncXExTYNDI8+ePVu5cuXp06dxVC3IEwp3UjIzM48fP4496KzGjvUPRkZGWCojZ2fPnr1165arqyvp\nIMAU27dvT0pKGjt27MSJE4ODg2m6So8ePR4+fEjT4PCmurq6efPmSR+/kc4CikVXVxcv1uSvpKTE\n1dU1OjqavicvIAfs+J+Hwl3OHjx4sHnzZuw3hzfl5+dnZWVlZGSoqqrOnj3b0dGRjqsoKyuLxWK0\nf5UDNze3+fPnDxkyhHQQUDjKysrSo9ZBburr6y0tLXft2tWlSxfSWaBN2FG4d+7cGW/P5Ua63zw8\nPBz7zeFNr169qq+vT05O5vP5VVVV9F2oe/fujx496tGjB32XgEOHDr169crW1pZ0EACQh/Xr10+b\nNm3UqFGkg0BbsWOpjKqqan19PekUisLR0dHV1bVv376kgwCzbN++vX///vHx8adPnw4MDKTvQgMH\nDrx79y5940NWVlZ4ePj+/ftJBwEAeUhKSsrLy3NxcSEdBCjAjifuIDfBwcGdO3f+/vvvSQcBxjEw\nMPDw8JDDhQYOHJiVlTVt2jQ5XEsBVVRU2Nvbx8XFaWpqks4Ciuujjz4qKCj46KOPSAfhvqysrJ07\nd2LtK2ewpnDX1tYWCoXa2tqkg3DZlStXsN8cPmTmzJlVVVXq6urSj2fOnKHpQgMHDsSBXzSRnrW0\nefPmbt26kc4CCm3QoEF37txB4U63iooKBweHw4cP44s6Z7CmcJe2cu/VqxfpIJxVUlKycuXKhIQE\n7DeH9/Lw8Lhw4cKyZcvovlCvXr3y8vLovopi8vX1HTx48KRJk0gHAUVnamp6586dr7/+mnQQLpN+\nUd+0aVP37t1JZwHKsKZEkzaWQeFOE5FIZGlp6efnh/3m8CFmZmZdu3aVw4VUVFTq6+vRWIZyly5d\nunz5ckJCAukgADxTU1P8VaSbl5fXZ599hi/qHMOawh2Hp9Jq48aNU6ZMGT16NOkgwFzKyspya/jd\nrVu3J0+eYDkHhQoKClavXp2cnKyszI6eBMBtPXr0wIs1WiUnJ9++fTs2NpZ0EKAYawp3tHKnz8mT\nJ3NycuLi4kgHAUaT2xp33v8ay6Bwp0pdXZ2lpWVQUFD79u1JZwF2qK+vp3XZpPQLpFgsxjdJOjx4\n8MDb2zslJQXvLbmHNYW7oaHhn3/+SToFBz148MDX11cgEJAOAkzX7Br3kpKShv7u+fn5YrFY5msN\nGDDg3r1733zzjcwjwJvWr18/c+ZMnLUEzQoODj569Oi0adMSEhLGjx+/efNm+q7Vs2fPvLy8jz/+\nmL5LKKZXr15ZW1uHhYXhMBZOYlPhjqUylKutrbWzswsMDMT0hmZJ17g3sfQ8PDw8NzdX+nNFRUVN\nTY3M1xo0aFBycrLMfxzeFBkZ+eLFi+3bt5MOAixw8+bN1NTUKVOmpKen0932W9pYBoU75XAYC7ex\npnDHUhk62NraLlu2zMzMjHQQYIHY2Fh/f38tLa2amhpnZ2dzc/NGv8Hd3b3h55ycnIyMDJmv9fHH\nHz948EDmPw4Nbty4ERERkZqaSjoIsEN1dXViYmJhYWFOTk5tbS2t1zI1Nb127RqODaHW7t27e/bs\n+d1335EOAnRhzdoyHR2dly9fkk7BKf7+/sbGxvhHE1pIIBBkZmampaVlZGScP3+e1mtJD0uWSCS0\nXoXzysrKnJycoqKiNDQ0SGcBdli1alVeXl5iYuLWrVtnz55N67VMTU2zsrJovYSiuXjx4oULFzZt\n2kQ6CNCINU/cgVrp6ekCgQDH3EDL1dbWpqen9+3bNycnp7q6mu7LGRsbFxYW4nwWmUl7vG7fvt3E\nxIR0FmCNQYMGDRo0iMfjHTx4kO5rffTRR4WFhXRfRXHk5eW5u7snJSVhvy+3salwV1FREYlEKioq\npIOwXmFhobu7+5kzZzC9oeV8fX0DAwNDQ0ONjY29vb3pvtyAAQOysrJQuMvM09Nz/Pjx48ePJx0E\n2ESezaN4PJ6KikpdXV3D5UBmFRUVc+fOjYyM7NSpE+ksQC82Fe4GBgYlJSWGhoakg7CbtDFcQEBA\nhw4dSGcBNjExMfHy8pL+HBIS4uDgQOvlpB0hp0yZQutVuCopKenevXuHDx8mHQRYRm4HJEv169cv\nJydH+owfZCYWi62srNauXdu/f3/SWYB2bHrgamRkhMYybefm5rZw4cKhQ4eSDgKsJF13Lofbw6BB\ng7Kzs+m+Cifdv39/27ZtBw4cQAtnaC0zM7P58+fL7XLSxjJyuxxXbdy4cfjw4dixpiDYVLibmJjg\noLU2OnbsWFVVlYWFBekgwD4xMTFjxoyZNGnS2LFj8/Pz6b5c7969c3Jy6L4K97x69crGxiY8PBw9\nXkEG8jwgmYf9qVQ4evTo/fv3f/nlF9JBQE6oXCojEokkEgl9Z62NGjUqISHhhx9+oGl8zrtx40ZI\nSAjaY4NspF1llJSUJBKJvb39u+0gqaWmplZXV0frJTjJwcHBzc2tT58+pIMAK8l5jbuZmdmePXto\nvQS3/fXXXwEBATghVaFQU2Rv377d1NR0y5YtGhoa5ubmjo6OlAzbyPDhw9evX0/HyIqgrKzMxcUl\nPj5eTU2NdBZgJTl3leHxeF27dn369KmRkZEcrsUNe/bs6dmz57fffks6CLBVs2vcT58+vXfv3oaP\nbWzT3KFDh7KysraMoMhKSkrs7OyOHz+upaVFOgvIDzWFe35+flZWVkZGhqqq6uzZs2kq3DU1NcVi\nMXagy0AkEllYWHh5eaEGApnJuasMj8cbMGBAdnY2/tK20JUrVwQCwenTp0kHARZr9oDkb7/99s1v\nhm1vcqClpSUUCrW1tds4jqKpr69fuHDhrl27unXrRjoLyBU1hfurV6/q6+uTk5P5fH5VVRUlY77X\n4MGD//rrr08//ZS+S3CSt7f3uHHjvvrqK9JBgMXe7CojH4MGDcrKypowYYI8L8pSeXl5K1asSElJ\noW+xIiiCZg9IptzAgQOzs7OHDx9O94U4xtXVddasWWPHjiUdBOSNms2p27dv79+/f3x8fGJiYmBg\nICVjvtfYsWMzMzPpG5+Tjh49mpubu2bNGtJBAFpH2hGSdAoWEAqFVlZWBw8ebN++PekswG7yPCBZ\nCo1lZBAaGlpXV2dtbU06CBBATeEeHx+fmZk5aNCgX3/9NSYmhpIx32v06NG//vorfeNzz19//RUY\nGBgQEEA6CECr9e3b959//iGdggUcjd0a1gAAIABJREFUHR1XrFiBFs7QdtKtLEVFRRkZGfLZyiJ9\nsSaHC3FGenr6sWPHsKlXYVFTuN+8eTM5OTktLS0zM5PWVuvdunV78uQJfeNzjHTnSmRkpKamJuks\nAK2mrq6OxjLN8vHx6dmzJ1o4AyV8fX0FAsGqVatSUlLks5VFulRGDhfihqdPn7q7u0dGRqLPhMKi\nZjVkcXFxcXFxQECAUCh8+vQpJWN+iJGRUUFBAQ5Cb1Z9fb2lpSV2rgCrdenSpbi4uHPnzqSDMFRK\nSsrVq1fj4uJIBwGOkPMByTweT09Pr6Kigu6rcMOrV6/mzZsXFhaGI+QVGTVP3NesWZOYmNirV68z\nZ87Y2tpSMuaHjB49+vfff6f1Etzg6uo6ffp07FwBVhs4cCBeo3/I/fv3vby8QkND0cIZqCW3A5Kl\n9PX1y8vL5XMt9hKLxVZWVmvWrBkwYADpLEASNYV7Tk5OZGTkpEmT9uzZ8+LFC0rG/BAsc2+J0NBQ\noVDo4uJCOghAm2B/6odUVlZaWlqGhYXp6uqSzgLcIecDkqVMTU0xzZu1bt26MWPGfP3116SDAGHU\nFO7y3Ic+fPjwGzdu0HoJtktPT5e29CIdBKCtULi/l0QisbGx2bhxY9++fUlnAU6Rf1cZHhrLtEBo\naOiLFy+WL19OOgiQR80a96aPVCwvL58zZ45YLJZ+vHPnTlsaM2toaOAYpibk5+evWLHi9OnT2LkC\nHNCvXz80lnnX1q1bhw0bNmXKFNJBgGvkf0Ayj8czNTWNiIiQz7XY6NKlS9J226SDACNQU7hLj1Q8\ncOCAiYnJu/vQ+Xx+ampqw8d58+YZGBi05XJDhw69devWiBEj2jIIJ1VXV8+ZM2ffvn3YuQLcoKGh\nUVNTQzoFs5w5c+bu3bu0Nt4FhSX/A5J5PN6AAQPu3bsnn2uxzoMHD9asWXPmzBk8jAMpagr3y5cv\nX7x4UUtLKzc319TUlO6z1qTL3FG4v8vR0dHR0XHUqFGkgwBQpmPHjmVlZR07diQdhBFycnK2b9+e\nlJSEDalAB/kfkMzD9/MPq6iosLS0jIiI6NChA+kswBTsW+PO4/FGjhyJxjLvCgwM1NDQsLS0JB0E\ngEqmpqZoLCNVUlJiaWkZExOjp6dHOgsAlTp37lxcXEw6BbOIRKIFCxZs3LixX79+pLMAg1BTuMv5\nrLXu3bs/evSI7quwy5kzZ1JSUoKCgkgHAaDYgAEDULjzeLy6ujpzc3M/Pz+czADcg/2p71q9evXX\nX389efJk0kGAWagp3OV/1lrXrl0LCgrkcCFWuHPnjpeXV3R0tIqKCuksABTDwYpSP//8s6Wl5ejR\no0kHAaAe+kc1EhoaWl5ejp7O8C5qCnfpqrhDhw55eXkJBAJKxmza6NGjf/vtNzlciPlKSkpsbGzw\n9hy4asCAAX///TfpFITt3bvXwMDAwsKCdBAAWgwePPj27dukUzDFiRMn8AodPoSawl1Knmet4Rgm\nqbq6unnz5vn6+vbs2ZN0FgBaaGpqCoVC0ilISkpKunTpkvy3DALITe/evXNyckinYIRff/11//79\neIUOH0JN4S7/s9aGDRt28+ZNOVyI4ZycnObPnz9u3DjSQQBo1KFDh+fPn5NOQUZWVta2bdsiIyOV\nlal8zgLAKKqqqvX19dLHf4osJydnxYoVR44c0dLSIp0FGIqVXWV4PJ6GhoZIJKqtrZXDtRhr7969\nfD7f2tqadBAAeins+tfS0lI7O7vo6GgdHR3SWQDo1a1btydPnpBOQVJJScn8+fMjIiLaeNYNcBsr\nu8pIDRs27NatW/K5FgMlJSVduHDBx8eHdBAA2ilm4S5tI+Pr69u9e3fSWQBop+CNZWpqaqTzXT7r\njYG92NpVhqfY+1OzsrK8vb0PHTqEt+egCBSzcP/5558XLFgwZswY0kEA5MHU1FRhC3exWGxtbe3g\n4ICFr9Asak5OJXLW2ujRo11dXZcuXSrn6xJXWlpqa2sbFxenq6tLOguAPPTr10/RGsscOHBAR0cH\n56mB4jA1NT1+/DjpFGT88ssvw4YNmzVrFukgwALUFO5EGBsby2cjLKPU19fb2Nh4eXn16NGDdBYA\nOdHR0Xn58iXpFPJz9uzZlJSUY8eOkQ4CID89evRQzKMV/f39X716JbfVCsB27F5oYWRk9PTpU9Ip\n5MrZ2fnHH3+cMGEC6SAAcsXn88vLy0mnkIfff/99586dMTExaAYHCkVJSYnH44lEItJB5CoxMfHi\nxYu7d+8mHQRYg92F+5gxY65cuUI6hfysX7++Z8+eVlZWpIMAyJuCLHN/9OjRqlWr4uLi0AwOFFCv\nXr1yc3NJp5Cf27dv79q1Kzw8HNvVoOXY/XdFoY5h8vf3Ly8vX716NekgAAQMGDCA84X7ixcvFi5c\nGB4e3rFjR9JZAAgwMzNTnPNT79275+zsfOzYMWxXg1Zhd+H+ySefKMgxTKdOnTp//jzepoHCGjRo\nUHZ2NukUNKqtrTU3N9+xY8fHH39MOgsAGYrTWObRo0d2dnaHDx/u1KkT6SzAMuwu3DU0NMRiMeeP\nYfrtt9/27NkTFRWFNa+gsAYMGMDhwl0ikdjY2NjY2IwYMYJ0FgBiTE1Ns7KySKeg3bNnz6QHLRkb\nG5POAuzD7sKdx+MNHz6c28cwNRyArK2tTToLADE6OjpVVVWkU9Bl48aNQ4YMQTM4UHBGRkaFhYWk\nU9Crqqpq3rx5u3bt6tOnD+kswEqsL9y5vcy9uLh4/vz54eHhOAAZQE9Pr6KignQK6kVERDx//nzV\nqlWkgwCQp66uzuG36DU1NbNnz163bt1nn31GOguwFQp35hIKhbNmzcIByABSAwcOvHfvHukUFDt7\n9mxycjK2rwBI9e/fn6unrdXX18+fP9/R0RENnaEtWF+4d+3alZNv1kQikbm5ubOzMw5ABpAaMmTI\n1atXSaegUnZ2tpeXV1hYGLavAEgNGjSIk/tTJRKJra3t5MmTZ8yYQToLsBvrC3ceR49hWrNmzbBh\nw2bPnk06CABTfP/991w6Ef3x48dOTk4xMTF6enqkswAwBVf3py5btuzjjz92cnIiHQRYjwuFO/dW\ny3h7e1dXV3t4eJAOAsAgurq6ffr0uX79OukgFCgsLLSysoqOjv7oo49IZwFgEFNT0xs3bpBOQbE9\ne/ZUV1evX7+edBDgAi4U7mPHjuXS+ak7dux4/Pjx3r17SQcBeL/nz5+TurStrW1YWBipq1OlrKzM\nwsIiODjYxMSEdBYAZunQoYOSktLjx49JB6FMaGjob7/9FhgYqKSkRDoLcAEXCvdPPvnkzz//JJ2C\nGkFBQX///XdAQABmODCN4H9sbGwEAgGRDKNGjbpz545QKCRydUpUVVWZm5v7+fmhGRzAey1atCgw\nMJB0Cmrs27cvIyMjJiYG+1iAKlwo3NXU1CQSCavv5VLx8fFJSUn4Xg7MFBUVFRkZ+fDhw8rKyocP\nH5KK8cMPP8THx5O6ehvV1NSYm5tv2LBhyJAhpLMAMNS0adPS0tJqampIB2mr/fv3X7t2LSwsTFmZ\nC7UWMARH/jLNnTs3KCiIdIo2OX78+MGDB+Pj49XV1UlnAXiP6OjoESNGKCsrDx48mOAWK0tLy+jo\naFJXb4v6+voFCxY4ODiMGTOGdBYA5lJWVmb193Op/fv3X716NTw8HM/agVocKdwXLlx4/Pjxuro6\n0kFkJBAIgoKCjhw5gqodGEtJSWn58uUmJiZkJ1rHjh35fH5OTg7BDDIQi8W2trY//PDDt99+SzoL\nANPZ29tHRESQTiE7f39/VO1AE44U7mpqajNnzoyKiiIdRBbp6eleXl7x8fHa2tqkswA0Y+rUqQEB\nAWQz2NjYsO6mvnTp0pEjR86fP590EAAW6NSpk6Gh4c2bN0kHkYW/v//vv/+Oqh1owpHCncfjOTk5\nhYeHi8Vi0kFa5/r16+7u7idOnNDX1yedBaApM2fOnDJlyn/+h2CSyZMnnz9//vXr1wQztMrmzZs7\nd+68aNEi0kEAWOPnn38OCQkhnaLVAgICfv/994iICFTtQBPuFO7t2rX76quvEhMTSQdphQcPHixa\ntOjw4cOdOnUinQWgGR4eHtOmTTvzPwSTKCsrT5o06dy5cwQztNyePXsKCwvRwhmgVcaOHZuVlVVZ\nWUk6SCsEBAT8+uuvqNqBVtwp3Hk83tKlS/fs2UM6RUtlZ2dbWFhER0f36NGDdBaA5pmZmTFnpYed\nnV1oaCjpFM1bvXr1w4cPOdPbDkCe5syZExsbSzpFS0VFRZ0/fx4rZIBuFBfuBE9m4fF4nTt3HjJk\nCCuew125csXR0fHEiRPo5QxsoaysbGBgQDrFv3r06FFTU/P06VPSQZqyatUqdXX1Xbt2ocErgAyk\nz7ZIp2iRvXv3pqamHj58WE1NjXQW4DhVSkZpOI0lKCjIycnpm2++oWRYGbi6utrZ2U2ePJlUgJY4\nd+6ct7d3QkJChw4dSGcBaKmZM2dWVVU1ND4iu1qGx+MtXLjw0KFD7u7uZGO8l0QicXZ27t69OzPj\nAbCCnp7e0KFD09PTx40bRzrLB4nF4mXLlnXo0CEqKgpf0UEOqCnco6KixGLxl19+SfZkFh6PZ2xs\nbGRk9Ouvv44ePZpgjCacPHly3759J06c4PP5pLMAtIKHh8eFCxeWLVv2od+Qm5v74sUL6c9PnjwR\niUS05vnhhx/Gjx+/atUqpt0sxWKxk5NT7969V61aRToLALstWrTI09OTsYV7TU2NhYXFl19+6eLi\nQjoLKApqCvfo6Ojdu3cTP5lFavXq1WvXrmXm2Q2RkZFxcXGnT59u164d6SwArWNmZta1a1eJRPKh\nQlkgEDx+/Fj688uXL3V1dWnNo66u/tlnn2VkZDDqpl5fX29lZTV27Niff/6ZdBYA1hswYEBJScmz\nZ8+6dOlCOktjFRUVc+fOtbe3//HHH0lnAQVCTeEuPZklJSWFCV1X+/Xrp6SklJWVNWjQINJZ3rJv\n376LFy8mJCRoaGiQzgLQarGxsf7+/lpaWjU1Nc7Ozubm5o1+w5vtDsvKyoqKiuiOZGdn5+Pjw5zC\n/fXr15aWlhMmTLC3tyedBYAjbG1tw8PD16xZQzrIW/Lz8+fMmbNly5YJEyaQzgKKhZrNqUFBQV9/\n/fXt27f/+uuvrVu3UjJmW7i7u+/cuZN0irf4+PhkZGTExcWhageWEggEmZmZaWlpGRkZ58+fJx2H\nx+PxTE1N8/LyysvLSQfh8Xi8mpqaWbNmffvtt6jaASj0448/JiYm0r30rlXu3bs3c+bMvXv3omoH\n+aOmcL9582ZycnJaWlpmZqYcHrM167PPPisqKnr06BHpIP9avXp1dnY29psDq9XW1qanpxcVFWVk\nZFRXV5OO8685c+YwYV1cRUXFnDlzZsyY8e6LCABoCzU1tcmTJ6ekpJAO8q/MzMyFCxfGxsYOHz6c\ndBZQRNQU7sXFxcXFxQEBAUKhkCEN2pYtW7Z3717SKXivX792cXGpqqoKCQlBb1dgNV9fX4FAsOr/\n2LvzgJjWNw7gz0x7WrWQZKnsishWWrRoI0uWikJCZMmW5dr5kX1XyJrs7tUiCVEk+3JxLWWrJJSo\ntNf8/hjSjYtqZs5M8/38c+eczrzvM+d6Zp4585739fc/ffr0ihUrmA7nC3d394MHDzIbQ1JSkr29\n/fjx40eOHMlsJAB10ujRo3ft2sV0FEREMTExM2bMOHHihK6uLtOxgJjiTeE+Z86c8PBwXV3dyMjI\n0aNH86TNWrK3t7958+b79+8ZjOHVq1fW1tampqZbt25F1Q6iTkdHZ/ny5fv371++fHnFDLCMU1FR\n0dHRuXfvHlMBhIWFeXp6hoaGMjgNLgBvlZWVlZaWMh3FN02bNuVwOMz+il5eXr5s2bKgoKCoqKjG\njRszGAmIOd4U7klJSfv27bOxsdm4cWPFfHCMmzx58ubNm5nq/cKFC0OHDt28ebObmxtTMQDwHIfD\nIaLWrVszHcg3o0eP3rNnj+D75XA4ixYt2r9//9mzZ3H5DeqGlStXnjp1ytTU1Nraevv27UyH882E\nCRMYXIH4zZs39vb2mpqaf/75p6qqKlNhABCvCnchvGuNiAYMGHDhwoXc3FzBd71y5cq1a9dGRUV1\n6NBB8L0D8ENoaKiJiYmNjY2pqWlaWhrT4XzTs2fPa9euFRYWCrLT4uLiMWPGfPr06ejRowoKCoLs\nGoB/0tLSjhw5cvny5bi4uPPnzzMdzje2traXLl0ScJpznT17dsCAAStWrBg7dqzgeweogjeFu3De\ntcZms0eNGiXgawYFBQWenp5EFBERgYVRoS4Rzu/nRMRisWbMmOHq6lpcXCyYHt+9e+fo6Ghqarp+\n/XqMgoO65PPnz6WlpVFRUfHx8Yxc9vovLBarf//+oaGhguyUw+GsX79+/fr14eHhuBUVhARv5nFf\nu3ZtYGDgzp07dXR0vr9r7ePHj0OHDi0vL+duPnnypE+fPjzp95eGDRtmZ2fXpUsXCwsLAXSXkZEx\ncuTIESNGYHgM1D3c7+ctW7ZMSkoSnu/nXC4uLkQ0cODAEydO8HvG1WvXrvn5+QUGBnbs2JGvHQEI\n3sqVKwMDA0+cOKGpqcng0JQfmjhx4tChQxUUFIYOHSqA7j59+uTt7d2uXbuIiAh8PwfhwZvCPT4+\n/uLFi3Jycs+fP2/fvn2VCdFUVFTOnDlTsRkYGCiwS9EyMjJhYWGurq6ZmZncj3b+uXbtmr+//+bN\nmw0NDfnaEQAjuN/Pg4ODGzduLDyzylRwcXH5+PHjyJEjDxw4wL9P2cOHD2/duvXo0aM6Ojp86gKA\nQRoaGgsWLGA6ih+Tk5P766+/vL29MzIypkyZwte+rly5Mm3atFWrVpmbm/O1I4Dq4k3hzv0NncVi\ncTicMWPGCNVMxsrKyidPnvT09MzIyPD19eVHFx8+fFiwYEF6evrJkydx2wrUVdxZZZiO4mdGjx5d\nXFw8atSovXv3stm8GQdY4dmzZzNmzGjduvWZM2fk5eV52ziAkHBxccnNzZWWluZuRkZGMhtPFRIS\nEjt37vTy8tq8efOkSZP40UVubu7KlStv3Lhx4sQJbW1tfnQBUBt1eYx7BRkZmcOHD6ekpEyZMqVi\nxA5PFBUVLVq0qE+fPi4uLrjZHIBx48ePt7S0dHNz4+Fkdjk5OVOmTJk+ffratWtXrFiBqh3qsAUL\nFjg6OkZ+xXQ4PyApKblv376XL1/Onj2bty0XFRWtXLnSycnJ0tLyzJkzqNpBOPGmcBfOlVkqY7FY\nK1eu1NXVHTp0KK9uS4+KirK2ttbV1b18+XKvXr140iYA1JKXl1fPnj29vb1r/y2dw+Hs37/f3t7e\nxsbm5MmTmPMR6jwDA4Nhw4YxHcUvsFistWvXqqqqTpw4kTtBbe0dO3bM1tZWVVX1/PnzNjY2PGkT\ngB94U7gL58os35syZUq/fv369ev36dOn2rTz/PlzFxeX+Pj4iIgIT09Pnv8oDwC1MWnSpI4dO44Z\nM6Y2tfvDhw/t7e2fP39+7ty5vn378jA8AKHFZrM1NDSYjuK3zJo1q0mTJj4+PrX8in737l0nJ6eH\nDx9GRUWNHTtWSkqKVxEC8ANvxrhzcTgcFoslVCuzfG/48OENGzZ0dHQ8evRolR/C7t27t2XLltTU\n1GbNmk2ePLlt27bfPz03N3fevHmvXr1auXJlq1atBBU1AFSPn5/fvHnzZs+evWrVqsr7s7OzN2zY\ncOvWLQUFhYEDBw4ePJjFYlV5bkFBwcqVK+Pi4tatW2dkZCTAqAEYJuRj3Kvw9/cPCgry8PDYu3dv\n5YKbw+GEhoaGh4fn5+d37959ypQpioqK3z/9zZs3c+fOlZWV3b59OxZDBVHBm8I9NDR069atcnJy\nhYWFfLoBlIdsbGykpaUHDhy4a9eu9u3bc3eeOnXK2dm54ov7rl27zp07VzGJZEpKSkxMTExMTHp6\n+sSJEzds2PD9hz0ACJVly5b5+/vPnDlz0qRJTZo0IaIPHz4YGRmlpKRwDzhy5EhiYuL69eu5m6mp\nqadPnz59+vT79+89PT3Pnz+PH9NA3CxYsODChQt+fn7/dcCpU6c2bNhQsfn582dmPw19fHxYLNaI\nESO2bdumoqLC3ent7b17927u41OnTh04cODmzZsVC6X9888/586dO3/+fFFR0bx583r27MlM6AA1\nUvdnlfkhc3Pz4ODglStXpqSkSEtLt2nT5sCBA5V/bistLfXx8VmzZk1MTMyNGze0tbV79+69evXq\npk2bMhg2AFTLqlWrdu/ePXfu3FevXikqKmZlZVVU7VwbN27s2LHjo0ePLl++rKmp6eDgsGXLFtyU\nBmLLwMCgUaNG3N/Pf3iAk5OTk5NTxaa1tTXjl7HGjRunpqbm6en56dMnFRWV+vXr7927t/IBT548\nWbRoUYcOHc6dO/fkyZM2bdrY2Njs2LGjQYMGDIUMUHO8KdyFeWWW/2JgYBASEkJExcXFFy5c2Lx5\nc5UDHj9+nJCQ4O7uvm7dOiy+ACCivLy8vLy8iCgvL69Hjx5V/sr9SX3WrFlLliypGB4AILYOHTpU\n+fdz4b8MxzVo0KBBgwYRUXZ29vz5878/YP/+/QsXLpw7dy7GuIKo4+XKqUK7MsvPSUtLd+/enftz\nQeX9MjIy8+fPl5OTYyowAOAhBQUFLS2tBw8eVNnv5eVlbW3NSEgAwkbkfj+vQlVVtVOnTt/vNzc3\nF/5xvAC/gzeFu/CvzPJzysrKZmZm8fHxlXfa2dmhageoS5ydnc+ePVt5j7KyMuZyBaggir+fV2Fl\nZSUvL5+fn195Z//+/ZmKB4C3cOvVF7t37648fl1fXz8wMJDBeACA5yZMmODi4lKxKS8vv3PnToxz\nBagg/Kuy/FKzZs22bt0qIyNTsWfEiBHDhw9nMCQAHuLldJAiTU9P79GjR+Hh4SkpKc2bN3d2dsaA\nV4A6hs1mHz9+PD4+/tatW4qKivb29pgDDqCyyr+f79ixY+zYsczGUzMjR460tLSMiYnhTgfZvXt3\npiMC4BkU7t/IyckNHTqU6SgAgL/Mzc3Nzc2ZjgJAeInEqiw/16xZMxH91gHwcxgqAwAAAEREoaGh\nJiYmNjY2pqamaWlpTIcDAFWhcAcAAACir7PKnD9//vLly7GxsUyHAwBVYagMAAAAENWJWWUA6jYU\n7gAAAEAk4quyAIgDBgp3dXX1devWBQcHC77r35Sfn3/37l1ZWVmmA/mZ4uJiNpstKSnUX73y8/Pl\n5eWZjuJnOBxOYWGhkE/YX1JS0qhRI9GaGEFGRiY5OdnW1pbpQIiI/v77b26+MB0IkZAlBYL5L2Vl\nZV26dBF8v+/fv688j6HgVXdVlqZNm9rZ2fEvnp97/Phxbm4ug0ubM/uPtry8vLi4mMFapaioSFJS\nUmzPf1lZWb169dq2bVvdJ37+/HnKlCk175gD30lKSvL29mY6il9YvXp1REQE01H8gqWlJdMh/EJm\nZqaLiwvTUfzCrl279u3bx3QUImzs2LFPnjxhOoov+vTpk5uby3QUXwhVhgpPMGVlZVZWVkxHAb+2\nYMGCuLg4BgNg9h/tnTt3/Pz8GAxgzpw5V65cYTAAZs//tWvX/P39Bd+vUFyCAgAAAACAn0PhDgAA\nAAAgAlC4AwAAAACIAIlFixYxHYPQYbFY5eXl7du3ZzqQnykuLm7SpIm6ujrTgfxMYWGhsbEx01H8\nDJvNLioqMjIyYjqQnyktLW3QoEGjRo2YDkRU5efnGxgYCMktyPn5+cbGxkJyp6xQZahQBVNQUCA8\nwcB/KSws1NfXV1FRYTAAZv+dSEhItGnThqneCwoKWrZsqayszFQAjJ9/KSmpVq1aCbhTFofDEXCX\nAAAAAABQXUJx1QcAAAAAAH4OhTsAAAAAgAhA4Q4AAAAAIAJQuAMAAAAAiAAU7gAAAAAAIgCFOwAA\nAACACBDHedyvXr3q4uISFxf34MEDCwsLIkpNTR0zZkxYWFhhYaGBgcH3T6l8QMOGDSdPnnzu3Ln7\n9+/37NmTHxGWl5ffv39/woQJQ4cO/T6AX0b4+fPnKi9QMEF+f2IZD/Lx48c+Pj6xsbE3btzo1asX\nCd+Z/D5CITyNIuH7M1mFgLOYw+F4eHjIy8vr6+szG8z79+9/3r4gg3n48KG/v390dPTr169/OAGz\nIIP5/k3sJ8Eg1wSslu/ePPnHUyWLBRzA95kryAC+T1UBv3zGC6HvA6jWpwz/3jEkediWqLh7966+\nvj6LxerWrRt3T2Bg4MSJE83MzExNTY2NjVevXi0jI6OmprZ48eLvD0hOTi4oKCgpKbG3t+dThFlZ\nWbGxsbm5uRV7qhWhp6dnlRcomCArn9inT58KQ5CJiYkBAQH6+vrW1tbl5eVsNlvYzuT3EQrhaRQJ\nlc/k48eP165dy2wWb9iwoaysjIh++T+R38EEBgZWtM94MNHR0c7Ozs7OznZ2dr169WI2mMpvYsg1\nYVPLd2+e/OOpyOLv2xdAAJUzV/ABVE7VcePGCf7lM14IfR9AtT5l+PeOIY6Fu6WlpYuLi5KSkomJ\niY2NjYSERFpaWsuWLVkslpyc3OrVq+vXry8nJ/fw4cPQ0ND79++PHTu28gHJyclDhw51cnLq2bOn\ng4MDP1ZA1NDQ8PPzO3fuXMWeakVoYWFR5QXyPMIfBln5xHbs2FFdXZ3xIEeNGpWbm7t06dJ+/fpx\n/08J25n8PkIhPI0iofKZXLduHbNZfPr0aXl5ee5VljVr1jAbzLNnzyrab9++vZqaGoPB9O3b19nZ\necuWLY6OjoyfmcpvYr8MBrkmYLV89679P57KWcwl4AAqZy63BUEGUDlVGXn5jBdC3wdQrU8Z/r1j\niGPh/uDBA2traxkZGUVFRe7CsY0bN05KSmrQoEFhYSGHw3F3dzc0NNy9e/ewYcO4T6l8QIMGDVRV\nVSUlJWVkZLiXAQQQc7UifPiOXWsNAAAgAElEQVTwYZUXKBiVT2xZWZkwBPn48eMtW7ZMnTpVT0/v\n+xiE4Ux+H6EQnkaRUPlMent7M5vFERERUlJS9+/fV1JSYrPZvr6+DAajqalZ0X5paSmzZ2b58uUR\nEREtWrQwMzPT09MTnjfb8vJy5JpQqeW7d+3/8VTO4q5du9avX1/AAVTOXG4Lggygcqr6+flJSkoy\nXikx/vFdrU8Z/r1jsMTwDejGjRurVq2SkJCwsbFp2bLl48eP7ezs5syZIy8vb2Vl1aFDB39/fx0d\nHQsLCzc3N+5TXr16VXFAjx49xo8fr6ioaG1t7ePjw784+/TpExkZGR8fX90IW7RoUfECvb29+Rdh\nlSCNjIwq+u3Ro4cwBDl+/Pj09HRFRUUiGj16dFJSkrCdye8jFMLTKBIqn0l/f/85c+YwnsVBQUHN\nmjXT0dFh9i3lxYsXFe2bmZkxG0xMTMzRo0dlZWVVVVVdXV2F4c2W+ybGHdGLXBMetXz35tU/Hm4W\ny8vLC75UqJy5bdu2FXAAlVPV1taWqUqJ8UKocgB37tz5/U8Z/r1jiGPhDgAAAAAgcjAdJAAAAACA\nCEDhDgAAAAAgAlC4AwAAAACIABTuAAAAAAAiAIU7AAAAAIAIQOEOAAAAACACULgDAAAAAIgAFO4A\nAAAAACIAhTsAAAAAgAhA4Q4AAAAAIAJQuAMAAAAAiAAU7gAAAAAAIgCFOwAAAACACEDhLkYCAgJu\n3rz5y8MmTpyYmZlZZaerqyt/ggIAXkKaA9R5SHNxJsl0ACBo9+7dW7p0aYMGDQwMDPLy8p4+fZqX\nlyctLa2srJyZmRkaGkpEU6dOLSgoaNGihYODA/fg5OTkyk/08fFh+nUAwH9CmgPUeUhz8YQr7mJH\nQ0Nj5syZPXr0CA8PJ6KBAwdu377948ePGzduJKLCwkIiGjdu3PHjx+/duzd79uwjR46EhISUlZVV\neSIACC2kOUCdhzQXTyjcxc7OnTtv3rxpZmYmKytLRCoqKlJSUioqKkQkJSVV+Ug2m12xh8PhVHki\nAAgtpDlAnYc0F08YKiN2WrVqlZCQkJKS8v79+5SUlB8es2fPno0bN3br1s3S0nLIkCENGzZUUVGp\n8sQmTZoIOHIA+E1Ic4A6D2kunlgcDofpGAAAAAAA4BcwVAYAAAAAQASgcAcAAAAAEAEo3AEAAAAA\nRIDEokWLmI4BvggICJCVlW3UqNHPD5s4cWLXrl3l5eUr73R1dR00aFDlPbt379bU1Dx48OC4cePG\njRtHRLdv327UqNHs2bPT09OnTJkSExMTHBysqakpISFRefPMmTNNmzatV6/eD3tPTU0dM2ZMWFhY\nYWGhgYFBlT0qKirVemxgYMDhcDw8POTl5YuKivz9/aOjo1+/fm1sbFyrUwkgrMQwzaWkpHx8fGJj\nY2/cuKGgoDB58uTz58+np6cjzaGuEvM0l5OTc3FxiYuLe/DggYWFRa1OJXwHs8oIHZ4sqeDp6ZmU\nlOTl5UVEqqqqt27d6ty5c0hIiJmZGRHFx8fr6+v/8ccfOTk5MTEx6enplTfd3NzWrFmzdOnSH4YX\nGBg4ceJEMzMzU1NTd3f3KnsePHhQrcfu7u4bNmwoKysjoujoaGdnZ2dnZzs7O+57E0BdJVZpPmbM\nmICAAH19fWtr64YNG27ZskVDQ8PJyQlpDnWb2KZ5gwYN9PX1WSxWt27dBHi+xQUKd6HDXRkhKSnp\n4MGDVlZWAwcONDU19fDw2Lt377BhwyqWVOjZs6ejo2NcXFxkZKSqqmqnTp0qP7F9+/atWrXiNujh\n4RESEtKuXbu8vDxNTU0iGjJkyMGDB+fMmVNUVDR8+HADA4PKm8rKyhkZGUQUHh5++/ZtbiNeXl7c\nGaPS0tJatmzJYrHk5OQ4HA6Lxaq8JzU1tVqPo6Ki5OXlud/I+/bt6+zsvGXLFkdHR0bOPIDAiFWa\njxw5Mi8vb+nSpf369Rs/fvyzZ8+cnJysra2ZOfUAgiK2aW5lZTV48GAlJSUTExMbGxsJCQlm/gfU\nURjjLnR4sqRCcnJyxcysampqBQUFoaGhAwcO5O45evRot27dAgICVqxYMXny5CqbRFRcXFxeXl5W\nVlb6VcW0oY0bN05KSuJwOIWFhSwWq8oeHR2daj2OjIz8559/jh49GhQUNGPGjIiIiNjY2LCwsNLS\nUkGcawCGiFWaP3nyZM6cOe7u7twwtLS0zpw5c/LkSUxGDHWb2Kb5gwcPJCUlZWRkFBUVkeY8hyvu\nQocnSypIS0tXfu6QIUMmTZp0//79Xbt2EZGpqencuXO5GeXt7V1lk4ikpKTYbPaAAQMGDBhQpetx\n48bNmTNn3759vr6+8fHxjx8/rrzH1NS0Wo+5P88FBQU1a9aMzWavXLlSVlbW0tJSUhL/MqEuE6s0\n37hxY3p6+sKFC4nI1dXV09NTS0vL0dGRWysA1FVim+YTJ04cO3ashITE8OHD8WnOc1iAqW76/Pnz\n0qVLAwICavDcT58+/WRUHAAICaQ5QJ2HNIcqMFSmbqpXr17Lli3T09Nr8NxDhw5xf2IDAGGGNAeo\n85DmUAWuuAMAAAAAiABccQcAAAAAEAEo3AEAAAAARAAKdwAAAAAAEYDCHQAAAABABKBwBwAAAAAQ\nASjcAQAAAABEAAp3AAAAAAARgMIdAAAAAEAEoHAHAAAAABABKNwBAAAAAEQACncAAAAAABGAwh0A\nAAAAQASgcAcAAAAAEAEo3AEAAAAARAAKdwAAAAAAEYDCHQAAAABABKBwBwAAAAAQASjcAQAAAABE\nAAp3AAAAAAARgMIdAAAAAEAEoHAHAAAAABABKNwBAAAAAEQACncAAAAAABGAwh0AAAAAQASgcAcA\nAAAAEAEo3AEAAAAARAAKdwAAAAAAEYDCHQAAAABABKBwBwAAAAAQASjcAQAAAABEAAp3AAAAAAAR\ngMIdAAAAAEAEoHAHAAAAABABKNwBAAAAAEQACncAAAAAABGAwh0AAAAAQASgcAcAAAAAEAEo3AEA\nAAAARICk4LuMj48PCAgQfL81ZmBgUL9+faajAHFnaGjo4ODAdBS/q6ysbP369Xl5eUwH8rvYbLaM\njAzTUYC4k5OT8/X1lZCQYDqQ37Vs2bIrV64wHcXvkpSU7NGjB5uNS5bAsMGDB+vq6tbsuSwOh8Pb\naH7Jzc2tYcOGJiYmAu63ZhITE3Nycuzs7JgOBMTdtm3bLly4wHQUvysrK2vOnDm2trZMB/K7Fi9e\nvHDhQqajAHG3bt268PBwDQ0NpgP5XfXr1w8KCmKxWEwH8lvWrVvn7e2tpKTEdCAg1q5evaqrq+vr\n61uzpzNwxZ2IunfvPnjwYEa6ri4Oh5OZmSkq0UIdtm3bNqZDqJ5GjRqJUOJs27ZNhKKFuurYsWNM\nh1BtgwYNEpVr2MeOHXN2dhah70VQV717967GzxWNZAMAAAAAEHMo3AEAAAAARAAKdwAAAAAAEYDC\nHQAAAABABKBwBwAAAAAQAczMKsMP0dHRCxYsMDQ0JKJ27dp9+vQpJSVl9+7dFQesW7fu+vXrhw8f\nZi5GqCoiIiIrK8vOzk5LS4vpWEA0INNFzj///HP58mUjI6MuXbowHQuIBqS5yMnLyzt69KiysnK/\nfv0kJetObSmE6tQV9yFDhgQHBwcHB0+dOpWIpk2b5ubmlpub+/r1ax8fn2nTpjEdIPzL8uXLL1y4\nIC0tPXTo0NevXzMdDogMZLoIuX///qRJk1RUVLZu3bp//36mwwGRgTQXIWVlZQMGDCgtLU1LS3Nz\nc2M6nDpOaL4VJSXRhAm/e7C1Nc2e/f3u48ePJycnE5GZmRl3T58+fU6fPp2WljZs2DAeBQo8c/bs\nWe6KQmVlZTExMaNGjWI6IuA/T0968+a3jpSRobAw+tESksh0ERIWFjZ37lxra+u+ffsOGjTI09OT\n6YiA/3btot+/Fr54Mf1oQUakuQhJTk7W09MbO3YsEZ0/fz43N1dRUZHpoOosoSncW7Sgs2dr2cag\nQYNmzJjBfbxo0SIi6tOnz+TJkwsKCvz8/GrZOPCcmpravXv3DA0N4+Li8HEuLnhxzRWZLkL09PTi\n4uKsra3j4uJqvMQ3iJjRo2n06Fq2gTQXIQ0bNvznn3/y8/OLiorevXunoKDAdER1mdAU7rxw9OjR\nx48fE5GGhoaMjAwRKSsr5+fnt2rVSlTWdRMrGzdunDNnztu3b/v27Wtubs50OCAykOkixNXVdcmS\nJXZ2ds2bNw8ICGA6HBAZSHMRoqysPG/evMGDB0tKSm7atInFYjEdUV1Wdwp3e3t7e3v7ik3uF3Qi\natq0KX5WE07a2toY8wrVhUwXLSwWa+HChUxHASIGaS5yevfu3bt3b6ajEAt1p3D/3saNG62srIqK\nitq0acPdZDoiAOA9ZDpAnYc0B+Cqs4V7xRf0ihucp0yZMmXKFMYCAgA+QKYD1HlIc4AKdbZwBwE7\ndepUYmKiiYmJo6Mj07EAAF8kJSWFhoaqq6uPHj1aTk6O6XAAgPfy8/N37dr14cOH4cOH6+npMR0O\nVFXH7/BwdXVds2bN1atXf36MwOKpq06cOHHw4EFLS8v9+/eHh4czHQ6IHWS6AHz48GHEiBGdO3fm\ncDjjx49nOhwQO0hzwRg7diybzTYyMvLw8Pj48SPT4UBVdeeK+927d+fNmycvL29hYWFgYLB06dIG\nDRokJycbGxtv2rQpNDS0fv36AwcO5O43MDBo27ZtxTHcFtzc3Hbs2JGTk7N06dKgoCBmX45oiY6O\nXrJkiZ6eXpMmTdatW+fs7PyTgzkcjp+f35UrV6SlpYOCggwMDAQWJ9QByHSm3Lhxw9nZuW/fvkTU\nq1evXx4fERGxaNEiDoczduxYHx8f/gcIdQfSnEHp6em+vr5EdP/+/Zs3b9rY2Pz84BEjRuTk5DRr\n1mz//v3c+X+Ar4SlcM/Kot27qbz8tw7u2JHs7KruXLt27datW5s2bdqzZ89Tp04dOXJEVVW1U6dO\nRNS/f/8hQ4a4uLiMGzdu5syZSUlJBw8ejIyMrHwMYXGHWujQocPhw4enT59+6NChdu3a/fzgs2fP\nysnJ3bhx4+3bt6NGjYqKihJMkCAM9uyhd+9+68h69WjCBPp+2jdkOlPatGmzdu3aMWPGJCUl/fLj\nuby8PCAgIDExUUpKqm/fvv3792/YsKFg4gTGJSZSfPzvHuzqSk2bVt2JNGeQnJzc9evXdXV1z58/\n7+Hh8fODFy5cuHLlyk6dOu3atWvXrl0Tfn8lTagpYSncpaSoWbPfPbhBgx/s5HA4HA6H+7hiklfu\nniZNmhCRlJTUzp071dXV+/Tp8+eff5aWllY+hrC4Qy34+PgsX758wIABJiYmv8zbDx8+cP+PqKur\n5+fnCyRAEBaNGtFvLs0hJ0c/nAsYmc6UJk2aTJkyZeTIkerq6jt27Pj5wcXFxfLy8tLS0kTUqFGj\n7OxsFO7iQ0mJfnOtLTab5OV/sB9pzqBt27YtXLjww4cPM2fO5J7tn8jKytLR0SGiJk2aJCYmCiRA\nccfLwp3D4dR41n0lJRo8uFa9z5gxY/z48fLy8m5uboaGhkOGDGnYsKGKikrlY1q1apWQkJCSkvL+\n/XsfH58qx2BxhxqTlJRcsGDBbx5sb2/fr1+/Dx8+/P3338OHD+drYMBztUlzoh/8VlZdyHQGOTk5\nOTk5/c6RsrKybdq0mTRpkoKCQlZWVqtWrfgdG/BQLdO8XTv61S+vv4A0Z1DTpk337t37mwf7+Ph4\nenpaWFicOnVq3759/IwLvuBN4R4aGrp161Y5ObnCwkJfX193d3eeNFstHTt2PH36dMXmuXPnqhxw\n+PBh+vedK9//gobFHQRARUXlzJkz169fd3Nzwx3rIkQY0pyQ6aJj06ZN9+7dKygo6NatG1ZSFBVI\nc6iW3r17GxgYPHnyZPz48crKykyHIxZ4U7hHR0cnJCSwWCwOhzNmzBimUr2WDh06VLG4A/CVrKys\nubk501FA9dSNNCdkugB16NCB6RCgepDmUF1aWlpaWlpMRyFGeFO4FxUVXbp0qWXLlklJSQUFBTxp\nU/Dc3NwqFncAgCrqRpoTMl1QOBwKDqZPn2jatB/cZAzCCWkO1fXsGYWFka8vYUYZweBN4b527drA\nwMDg4ODGjRuvWLGCJ22C6CooKPD29s7IyMjPzy8uLpaRkbWwcBk2bNr163TpEr16RRISxOHQypXU\nuTPTscJvQ5pDFUFBQSEhIWw2Oy8vT1lZWUFBITQ0lPtz+aNHNHUq2dpSWRn170979pCaGtPhwm9A\nmkMV9+7d8/Pzk5SUzM7OlpOTKy0tXbVqlZmZGRGlp9PSpfTuHZmbk5MThYQQrrwLAG8Kdx0dneXL\nl3Mf79ixY+zYsZX/mpOT4+DgUFRUxN18+vRp//79edIvCKcdO3a0bTuQzXb566/rKirKrVu3Onjw\nSlpq9lCdf9aVHVVVSSVX1yxT5wFusoGBtb2HCQTm52lORFOnTr106RL3cXFxsV3tb0QFYVVeTlu3\nZu3YwXJzu3zhwp7MzB23b1/4888/t27dOnXgsIu+xxo+PH/Iy0rVbRg1anTpEjk50cWLJCvLdNzw\nK79M81OnTi1cuLBiMycnR3DBgcA9f04eHqf69o1IS8t89Wrl8uVu3bt37NevX8ThyKjxEQ0uHZ/X\ns6H2bA/q1s3SklxdaccOwo3o/Mb76SBbt25dZY+SklJCQkLFZpcuXXjeKQiJz58/BwcfX7euRYMG\nXbZvL3/2zK9JkyaHDx+eN2bPnJs366mZ02QP0tGhffvUVvU8Pm9TP2+TkBDS12c6bqim79OciNav\nX1/xOCkp6ZczBoLoGjDg1fv3T1RV87p2ZYWFyb57t87GhkpLLCY8OnJ73TV1b0+jk0cpOpq8vKh7\nd7NFi/r3p8hIGjSI6bihOn6Y5lVmFpKSkhJgRCBQUVEvJ02SKiwssbCod+PGw6tXraZPb92ggaLm\nzYFp+pb6/dyM/t7CSn9NO3fSH390OHlyzRqFDRsoMJDpuOs63g88xE2H4qx///5795qZmhY+eqR7\n+nTAmzdv3rx5M3fkyOEnTsjt2UMbN5KxMTVoQP7+FBuruWHu4SVPsVyDKEKai7O+fRNTU+/6++ff\nv7/s8GFvHZ0/paQGGnWYP/Vhx05D23ROC+sS4EKKijR4MEVH08ePtG3bsGEUGsp03FBNSHNxdunS\nS1fXvPnz7+vpnZ82zaCo6NSbN6PNzRdbfOq6uklQ63fxnQ5MY2k1pM6dKSiIFi4kd/cuRqUPHpAo\n3xkhGnhzxd3FxSU3N5e71gYRRUZG/uRgOTm56dOnBwcH86RrfisuLp42bRrTUYiG7OzszEwXR0fd\n//1P1939uIqKytmzZ0vev9ceP14hMpLdseO/jlZSoh07mnp7t2gaeeeOkpERQ0HDb6tWmhNRUFDQ\n3bt3+R8Xb/xyxV/gOnSI7t7NfPbMQVpaWkpK6vjx45MmTdqyZUuJn5/6mOFyAYurPmHNGhowQKdd\nu4ICi8xMUldnImj4bdVNcwkJid69e4vKdJ/5+fmyGLD1GwoKaMwY6T/+eD1ypP3IkfbGxsadO3d+\n8eLF69BQ/du35a9eJTm5fz3BzIwePCB/f0fHdVFR5OLCUNxigsMLd+/eXb9+/W8e7OrqOmXKFJ70\nC0Ll0aMyZeWbqalvsrKyTE1N8/PzORwOZ8QITnQ094D79+/37t27a9euW7Zs+fKc2NhMW9cJExiK\nWKRYWloyG0C10vzp06fa2tp8jQcYYWbGmTBhWnh4eFlZmZ+fX1hYGIfD4UREcLy9uQcUFhaOHj26\nW7duHh4eubm5HA6H8/Ejx8Tk8NbMjRuZi1tEDB48+N27dwwGUK0053A4qqqqJSUl/IsHGLFrF2fq\n1KRRo0aVlJTEx8cPHz6cw+FwsrM53btzsrO5x+zZs6dbt25WVlY3btz48rSJE98HHuvfn6GgRcfR\no0e/VUHVx5uhMgYGBljmAKZNY2/bJunl5Tlo0KAlS5bIyclRWBjJylasljljxoygoKCEhIS4uLiH\nDx8SEfXqpaYlXXblWn4+k5HD70Caw4MH1Lw5LVs27+TJkyYmJurq6s7OzpSdTStW0IYN3GOCgoI6\nd+589epVBweHtWvXEhEpK9OcOQOTVp48yWTw8DuQ5kBER47QggX6HTp0MDMz2759++rVq4mI/Pxo\nxQpSUSGilJSUY8eOxcfHHzhwYObMmV+eFhCgHrK+rLAkI4O50MUAb4bKsNlsDQ0NnjQFIurOHdLW\nJnf3Du7uMV92ffxIy5fT2bMVxxQVFTVv3pyIunbt+uLFiy+DExYsmDPA78CBCAuLJ5MmTWKxWKqq\nqvv27ZPBlLBCBmkOhw+Tuzupqqru2rXr215/f5o/n+rV4269ePFi1KhRRGRiYhIdHf3lmD59pNav\nb1P/7cOH6qtWeWVkZJSVla1duxYrNAkbpDm8fEkKCqSiQlOmTJkyZcqXvWfOkKQkWVpyt1JTU42M\njKSlpbW0tLiXgVksFtWrR/37z3my//Dh0aqq+/bs2cNisQYPHjwBt7LxFO9nlQHxtG8fjRjx712L\nF5O/PykpEdGZM2ciIiIkJCQmTpxoaGh49OjRM2fOfDlMT0/boP6twOtnz64OCgrS1dUNDAwMCQnx\n9vYW9GsAgJ+6cIEqzQRIREQJCZSXR/b2RPTq1autW7dmZWWNGzfO19c3JCTk26c+EU2dOm3P2rlL\nPDt3brdv376MjIzRo0efOnVKoC8AAH7lxAkaMuTfuwoLafFiCg8nouLi4qCgoEePHl26dElLSyst\nLU1PT+/bTQ7jx3e17j0/2aOwdOelS5dYLJaNjY2bm5uqqqqgX0bdheXsgAdKS+naNTI1rbQrNZUe\nPeLeonLz5s3Nmzf7+PhYWVllZ2fLyMhER0dXTmPJxfN9Pyx9+1ZLXV2diNTV1fPy8gT9GgDgp65d\no86dqersf0uW0OrVRFReXj5s2DA7OztPT8/S0tLi4uI1a9ZUnjeQ+vRpnnkj/U65pqYmESkrK1cs\n7gEAwiM8nPr1+/eu4GAaPpx7a/miRYuKioomTJigpaX16dMnExOTnTt3fjtSQUFi8EDnj/vk5Ztx\nq3lVVVWRXoJXCOGKO9TEhw8ffH1937x5Y2BgsGHDhshICUdH+te8AgEBNHs292F8fLyPj0/79u3b\ntm1ra2s7ouqVeSJ9ffVWauZSvQcNGtSxY8dr164dO3ZMQK8EAP7bypUro6KiFBQUNm7ceOiQvrv7\nv/988SLp6VHjxkT0+vVrPT09a2trItq7d6+jo6PWd4sosv1nTJh4MHD3wwcPHjx8+HDSpEkCehkA\n8N8uX768cOHC0tJSX1/fNm2G6Or+e620oiIKDaWLF7lbV69ejY2NJaIJEyakpqb27du3anMTJgzZ\nZhOjPWHUqFGSkpJqamqNGjUSyOsQFyjcoSaWLVs2fPhwJyen5cuX+/v7X78+OyREnehr5f7yJT17\nVjEYrlu3bhs2bDAyMgoPDzc2Nv5hgxp/jDVyPzz9wZGUlJSlS5digDsA465evfrkyZMLFy48efJk\nzJhxGRnHFi5kE6l8O2LZMgoJ4T7U0tJKTk6+fft2eXn5q1evGjRo8IMWHRwsypbKTYnXbfFYW1tb\nTU1NIK8DAH5m1qxZ4eHh8vLyvXv3VlFpO2CAClHjb3/esYNGjKCvH8odOnQIDg62t7cPCQmZ/fXy\n3L/Iy8tadDN923To/PllZWUtWrQQyIsQIxgqAzXx4sULExOT8vLyyMjIxMTkjIycefM8vv151Sqa\nM6diy9TUdPDgwf7+/u/fv1+0aNEPG5SyMGlXdDv/k0KHDh1QtQMIgxcvXnTv3p3NZsfGxv79t2TD\nhml9+/Z5+/btlz9fuECtW9PXy+qSkpK7du0KDAzcsWPH7t272ewffbiw2SyrXq8PxBsaGqJqBxAG\nRUVFioqKampqqampz549u3tXITJy2rcfvQsK6OBBGj264vhly5a9fv161qxZw4YN69q16w/bVJnk\n0e52iK6uLqp2fsAVd6iJYcOGjRgxwszM7NmzZ2PHHm/WrNFff33Mzc1VVFSk9HR6+pQsLCofP2TI\nkCFV73apqqB7r1cbzmlvcOBn4ADwu2xtbR0dHSUkJP73v/916RIydqzhp0+jo6KiuJPG0OrVVRY3\nb9269b9Gu/5IAz+3ZnYbiGz4FzYA/D4ZGRk1NbVFixbdunVLVbWVnl7T/ft3Dx06dPDgwURE+/eT\nq2vlW1vq1au3sOot6t/p1KkdPfznbnHbjtL8jF1M4Yo71MSgQYMWLlwoJyenq6t7+7aWrW3Bhw8f\n5OXliYg2bSJ//xq0qTNnuNyJAzwOFABqSl1dPTIyUkJConnz5qWl3c3N6eHDh9ra2kREt26RtjY1\nbVrdNtkdDfU4ya8eYeEGAGGxb9++Dh06NG7c2MhosoUF6+HDh19uUCkvp5AQGjeuBm0W9HJ8tglz\nRvEFrrhDDXXu3Llz586ysqpTp94bPHjcvHnzJCQk6PNnSkykgIAaNKhu2kox703Bm49yWiq/PhoA\n+E9TU3PkyJFdu3Y3NX3h4DDKzMzM1taWiGjjxsrD4arlo9XAjHV/Nd2JVX4AhIKkpOSAAQP69u1r\naHjxzh3P8+czv/x0FhlJtrb/vlP1d2n/MTLXdhLRAB7HCijcoZaaNBk2ZQotW3bty/bBg+TmVuPW\n0k0HSwScMNw4+teHAoCglJS0dnOjbdtufNl++5YyM6lNm5q11tjf/V3f0UQo3AGEiKSkpLq6zYUL\nNhISX3ft2EHBwTVrTbW9tmRxfnF6pnQjdV5FCFwYKgO1cvYscS/AfXHwIFV/uez4+HhPT8/p06fL\nediww/7iYXgAUHvx8WRmVml7zx7y8qpuIxkZGVOnTh0xYkRKYXJxfml55gceRggAtZSZScrK9K1q\nT0oiRUVq2LBajZSXl8jgglgAACAASURBVG/atMnd3X3r1q2vuw18vj6M53ECCneolStXyMTk60Z8\nPBkZkaJitVpISUlZsmTJokWLBgwYsCF0ZlFOEWH1JQBhcvky9ez5daOkhCIiaEC1fwH38vLq16/f\n8uXL582b90TfNmNvNG+DBIDaSEiolOZEtHkzVX+lhcDAwKysrI0bN7558+aOjgInEsPceQ+FO9Rc\nSgo1bFjpdvPt22twF8vDhw979+6tq6vbs2fP3NxPz3QsM0/E8TZOAKgxDofS0khH5+t2ZCQ5OFS6\nLve7CgoKLC0ttbW1e/XqlWXcOu/EGd7GCQC1ceEC9er1dSMvj/7+u9Jlud9169atkSNHamhoeHh4\nvC67Wvo2i0pKeBsnoHCHmjtzhuzsvm68f09ZWdSqVXUb6dy5c0RExOXLlw8cOKClpSXl7JB14DRv\n4wSAGnv69N9pHRxM3t41aEdNTe3QoUOXLl06c+ZMb18TevaMyst5FSQA1NLt29Sp09eNw4dp6NAa\nNGJpabl69epbt26tXr26d++e9xVNii9e4WGQQCjcoTbOnCFHx68b+/aRp2cNGtHU1Ny0adOxY8de\nvnwZGBho4Gkkce82D4MEgNqIi6s0wP35c5KRqe6wV66dO3cmJSWdOHFi27Zt7dur3JMypps3eRgn\nANRYVhYpKpJkxXwlNbpdjYg8PDx69Oixe/duKyurIUOGfDLr835PJA/jBMKsMlBj5eX05g01rlgX\n+eRJOneuZk0ZGRkZGRlxHysrUyS7rf4//1DbtrwIEwBqJSGB5s37urF/P40cWbN2VFVVFyxYULH5\norXDp8Onlf9j5UUAEKTERDI1/bpx/z5pa5OSUg3aYbFYHh4eHh5fVlJvMqR7ud9cHsUIX+CKO9TQ\n7dvUrdvXjWvXyNCwZrO9fu9lG4fMEIyWARAKycn0Zdny8nKKian0K1utqLtYFJyJ50lTAFBL/7oB\nff9+4q6OXGtmlhIvi7To1SuetAZcKNyhhs6fJyurrxt79vAqz4mo/lDbgogaXrwHAB7KyCANja8b\nFy5Qz56Vfk2vFRMr2Xef69G7dzxpDQBq4+ZN6tKFiIhKSighodJtqrWipEQJSg7lUZhCipdQuEMN\nxceThQUREeXn0z//fE16HjBzUvqYVUa5ubxqEABq5to16tHj68aePTSaZ4ujtWpFF6Tt6OxZXjUI\nADVTXEylpSQnR0REUVFkZ0csFq8azzezyzmGKaR4CYU71ERBARUUfJ2xPTycnJ152LiODl2RtuRc\nxKSQAAxLTPw6I1xODr1+XYNpo/4Li0XPdG0LI1C4AzDszp1K88mEhtLXEeo80dG+4edXmVRaysM2\nxRwKd6iJ69crXYcLDa3BMoo/96FDrw8nLvC2TQCorlu3yNiYiIiOHOHtxzkR6dq3/Hw3ibdtAkB1\nfVtI8f17KiwkXV0eNm5uTrfZxnTrFg/bFHMo3KEmvg1wT0sjKSmqX5+37TcbZFx0BXkOwKTSUiou\n/voD+okTNGgQb9s3NaVXrGb04gVvmwWAarl6lbp3J6KaT9/+E+rqdE3GHD+h8xAKd6iJb3eg13S2\n15+ztJV6lyNLOTk8bxkAftO9e/Rlmtbnz0lVtWbTw/1Ep050rsSC4jG3DACT0tK+zux88iQNGMDz\n9kt6mOeevszzZsUWCneoto8fSVqaZGSIiCgykvr25XkXWlp0U8aUczmB5y0DwG+6cuXriLgDB/jx\n/VxCgl7rmX+OwqU4AMa8fEnNmxMR0YMH1LgxycvzvIseTvVzX32gsjKetyyeULhDtcXHk6UlERHd\nvk1t2pC0ND96yTUyf38Cl+IAGJOYSD16EHE4FBND9vb86KJ1v1b5d57wo2UA+B3fvp8fPMjz+1i4\nevWiO5yOdO8ePxoXQyjcodrOnSNbWyIiCgnhU54TUeNB3YsvX+dT4wDwS6mp1KQJ0dWr1KkTr6Zv\nr8LGlvWiWJtSU/nROAD80pc1U8vKKDa20uIsvKSsTLfqmZfG4kocb6Bwh+opL6fbt6lzZ6KyMrp6\n9eu96LzX0iDr5ctPzra2/fv3z8FgdwDBysigBg2IiOjgQXJ351Mv+vqciOw2y52crKysLl/GKFgA\nQbt3j9q3J7p8mUxNic2vmjCtmXbc/7ZYWVn973//41MX4gOFO1RPYuLX28/PniUbG/7l+fbtyx6p\nWofNmj1s2LBt27bxqRcA+KHTp6lXL6LiYrp162vO896FCxcearSe0Nbk5MmT8+fP51MvAPBDL16Q\nhgZJShKFhNCIEfzrKOHFoRb1NGPPnfv777+Tk5P515E4QOEO1XPiBA0cSEREhw7x4361Cnl5eR8N\ne7w9Fq+urp6Xl8e/jgDge1+ml+Db6Hauz58/yxjLF9x4IC8vX4Z71wAEKzKS+vUjKiqip0/J0JBP\nvZSXl6uqPrrPaU///KOmpvb582c+dSQmULhDNXA4dOUKde9OVFhIL19S69b862vSpEknXl9NOx6x\ncOHC0bxbaB0AfunzZ/r4kRo1IjpyhFxd+deRjY3Nu/eH/3kr5dW3rxev13EDgJ87dYr69CE6c4bs\n7PjXC5vNdnKyPpPfNNRnanZ2toGBAf/6Egco3OHH7t275+DgYGtrO3v27Iqdt2+TkRGx2UTh4dSv\nH18D6NKly+FT82TLZc5ERjb/MlsVAPBSYWGhp6envb39wIED37x5U7H/zBnq3ZsoL4/evKGWLfkX\ngJyc3NmzoQ+UbdYNHDJy5Ej+dQQgzrZv325tbW1jYxMdHV2xMzubOByqX58oNJR/80xwzZ07t7Fr\n367FCocOHWLzbYStmMDpgx+bOXPm3r17z549W1xcHBsby9154gS5uBAR0ZEj5ObG7xiaNVNIqmcs\n8wSLogPwxc6dOy0sLKKjo2fOnLlkyZKK/V+WZwgLo/79+R0Dm81mmZiXXMakkAB88fr16/Dw8HPn\nzp06dWrRokUcDoe7Pzqa7O2JPn2i7Gxq0oTfYZiPMJRMe8fvXsQBCnf4sZKSEk1NTSLS19fPzMzk\n7jx/nnr1IsrKooIC0tISQBg57Xq8+euqADoCEENZWVl6enpEpKenl5WVxd1ZWkqPHpGhIdHRozxf\n//yHWrgZFybcEkBHAGLo48ePzZo1Y7FYMjIySkpKJSUl3P1//UUuLhX/4bsuXSitWJMyMgTQV93G\nl6l5oQ4YOnSom5tbu3btYmNjw8LCiCgxkTp2JAkJorCwrzeo8p2aQ9e8Q0uIfAXTHYBYGT58uJeX\nl6Oj48WLF2fOnMndefkymZgQZWVReTlpaAggjJ62cq8+FFFpKZ9miwcQZ23atElPT587d25OTk77\n9u2lpaWJqLCQ3r6lJk2I/vyTdu8WQBgSEvRSs6vB2RsqHrxfbV2s4Io7/JiPj8+SJUuMjY2jo6OV\nlJSIaPVqmjAhn4jo2DEaMoR/XW/evLlTp07cro1d9en5c/71BSDO9PX1w8PD27dvv3v3bmtra+7O\nv/4q6dOHQ4cO8XU43J07d0xMTIyNjWfOnKmoSEnyHYpv/s2/7gDEFpvNPnHiRO/evUeOHLlu3Tru\nzpiYEnPzMnr9mqSkSF2dT10XFBS4uLh069bNzs7u7du3MlamGX8l8qkv8YHLG/CfWrZs2fLrfWnH\njz+8ePH9x49LmrNYO+vXZysp8anT1NTU2NjYW7duFRUVWVtbJyTYJ3PUW2a8ZTVswKceAcSZiopK\nnz59uI+LioqcnT2uXl2akOB5QZKl+PXmFn6YNWtWeHi4urr6tGnT4uPjSzp3f3n4asvunfjXI4DY\nYrPZlpaWFZvr1q1bssS0WbP/2d5nm/NzWuegoKABAwYMHz48MTFx6dKlY4ev4gxexr/uxASuuMNv\nmTkzbc8eg9jYWO969eIbN+ZfR9nZ2dra2iwWS1ZWVlpaurS0NKN5j/ST1/nXIwBwHTlyhMOZtXNn\nq6gNa++kp5O8PP/6Kioqql+/PhHp6OhkZmY2Gdrj83nczQLAd7m5ufv3Z3p5dbt7N1wpPv6zlRX/\n+srKytLR0SEiHR2drKwsg27yxTmFVFrKvx7FAa64w69lZFBOjpa1tQwR6T19erJ3b0u+9dWuXbvU\n1NQ//vgjOzvb2NhYUlJSwab7+4gYbR+MigPgr9evWWlpjQcPppI/os5qaprzs68hQ4YMGzasbdu2\nsbGx4eHh0tKKTya85GeHAEBEVFBQlJrqMXcu0YMHmQoKOkT1+NaXh4fHmDFjHB0dY2Nj586dy2JR\nhqah5tkHWg4d+dZn3YfCHX4tMJDGjCnr06ePk5ZWq5ycQe7u/OtLQkLir7/+unbtWr169QwNDYlI\n361L4f7l/OsRALiSkgZLSfn7TaEx+/aZhobytS9fX187O7v09HR/f38ZGRki+ixT/1Pye2V9QdwO\nCyC24uLUmze/PWXKsiF376Z27myjpsa/vlq1ahUWFnbv3r2RI0c2bNiQiKTMur86chWFe22gcIdf\nePqUEhPpzBmj7Ow/y/z8VA4cyCou/vjxo4qKCp96ZLPZPXr0qNhM+3Bd5l1WH3v7OfPnm5qa8qlT\nADGXlERv3sjeuLEm5ejRxgUFTS0sXr9+ra2tzb8e9fX19fX1uY/fvn17U1LhoO3EZhO7Tp8+nX+d\nAoizkhJat45On+6d87G59tChkkeOpKSkaGlpSUlJ8alHVVXVysPrE+lVi6MXt7OurVmzRo2f3xnq\nMIxxh1+YNYtWriQWi+qrqGgkJY0/cMDLy6tPnz67du0SQO8FBQWzZs36pNN5tdcfU6dOLcXYOAA+\nyMsjLy/asIGkpaX1b95MbNq0d+/e48ePHzRoUHl5uQACmD59us4gsz6arR4/fnzmzBkB9AgghmbO\npNGjSUOD9N6+Levcuae5+YwZM0xNTZOTkwXQ+8mTJ9/Wy2glVTRkyJBZs2YJoMc6CYU7/ExMDGlo\nkJERERHFxr5v04YtKRkVFRUXF7dnzx4BBPD+/fvWrVtL9jTNPfu4efPmHz58EECnAGKFw6FRo2jO\nHGrViqi0lK5dW3Lu3MWLF8PDw1u2bBkfHy+AGNLT050WuSsn3bSzs3v27JkAegQQN4cPU14eeXsT\nEdGBAyEczrJly44ePbp9+/aKaSL56tmzZ73t7MoUVdo07PLq1SsB9FgnoXCH/1RcTIsWUbNmO2xt\nbfv16/dp48b3zs5s9pd/M+Xl5RUrJ/OPjo5Oamrq3/If30VEXbhwYcSIEU5OTm/fvuV3vwDiY/ly\n0tRM3brVydbWNnb6dHJwKC0r4/6JxWIJ5mcue3t7v3mzpYqzp/nNO3DggKWlZVRUlAD6BRATDx/S\nli1lRUVjHBwcJo0eXX7//isNDRaLRQJMc0dHx4CAgJeaOqsHz3r16pWNjc2MGTME0G8dgzHu8J/W\nrycLi5QnTxJiYmIykpJedu9uGB5eePLkgAEDsrKyRowYwc15vmKxWCdPnjwQckh9d0rgoUAXF5eL\nFy+uWrVq7dq1/O4aQBzcvUvXrlFWltupU5FKSkqJjRu/Pn7ct2XLXr16NW7cuKysbPHixQIIY+bM\nmZGRkWnHX5o3NDpwZVtRUVGvXr0cHR0F0DVAnVdSQuPHk6HhWnv7vs7OzrHjxiWoqU2YMGHQoEGt\nW7d+9OjR/v37BRBGmzZttm/fHj8/RCf67Z33d+rVqzdx4sTExMTKd7XBL/GycC8rK+NwOJJYs7pO\nePmSoqNp6tS/k5M7sFgsrStXjqurd2Cx9u7dm5GRISsry7+bU6tQUlKa4DsubmaoVj0NImrQoEFe\nXp5guobvIc3rkqIi8vWlY8c4w4dLq6ioUFZWAxmZVDbb1dXVyckpJyeHrzenVsZisfr27XvW8l7b\nu5+ISEZGhn93y8EvIc3rmOXLydOT4uMfGBm5EVHnJ082tGq1UEcnISEhPT2drzenVtGuXbtWO+ec\n0+onLy9PRJqamp8/fxZM13UGb9JyyZIlXbt2/eOPPxQVFT08PEaPHs2TZoFB/v60Zg21aGG+du1q\nSUlJm7Vri77OAsmd1EnA8tp0+2vi+vBBUVevXt20aZPgAwCked2zYgWNHk2NGrHatWs3e/Zs2+Tk\ne3JyEzt1IiJFRUVFRUUBx9PF1ynNIWDSpElv377t16+fgHsHQprXRQ8f0vXrFBlJzZp5+vj4uPXq\n1fLBg77r1hGRpKRkkyZNBByPpJqyplRBv37DmjfXeP78+ezZswUcgKjjTeH+9OnTpKSkxMREaWnp\noUOHItVF3enTpKJCnTsTkVJUVNSVw4e1dHVnrFjBYEjqDubuN+uruTnOmzdPQUGBwUjEFtK8jnn8\nmK5do4ULiYg2b9586dKltpMm9YyLk5aWZiokFVPDjlLvuvosVFZWaszPFZrhvyDN6xgOh6ZOpU2b\niMUiGxsbXV3dz8uWaS9YUL9TJwajYum28nWa2rindNu2bQUw5raO4c3NqUlJSeXl5Z8+fcrOzi77\nelcTiKjz5+O8vZ81bhxUWFhIRPXq1bPNylIdP57ZqJoNMpZ7eKdDhw6o2pmCNK9L0tPTnZ3/adRo\n9YsXz7l7zLS11Vq2lNFgdP0jCQnZehKS5fqo2pmCNK9LSktLR46Mzc4+/ezZKe4eXV1dg+fP63t5\nMRuYVA/jwkvJ7dq1Q9VeA7wp3Ddu3GhmZpaVlXX+/HnMzSnS/v7778mTn3h7K+royMycOfPL3rAw\ncnZmNC5q0FFLPieD2RjEHNK8LrG13da1q/L48b08PDyKi4uJiPbtI09PpuOicoMOj4/cYzoK8YU0\nr0vmz19z8WLbvXtbhoSExMXFERE9eEBNmxLT1790XLqWX73ObAyiizdDZbp37969e3ciat269Y4d\nO7p06VLlgNTU1JKSEu7jz58/C2AaQaiBnJycP/+MKy11nT9fQ1Jy1L59+4iIEhKoc2eSlWU6OipU\naZh+M72RcSOmAxFTv0zz7Ozs7Oxs7uO0tDSkuXAqKSm5d+9JRsbwwEBtRUXt9u3bv3jxopW+PsXE\nfBk3wyhV+26fj1ylZVX/dYFg/DLNi4uL09LSKjaR5kIrPT394EHdgAD1du0aent7X7582cLCgoKD\nv07kziTlXp10suZzOIQL7jXAy3vGORwOi8Vq3bp1lf05OTkzZ86sWH7v77//VlZW5mG/wBMHDhwI\nCgpKSZleUDDr2bNZV65cMTAwICLas4d8fZmOjoiouGPXF0dvNDLGLWtM+q80J6LNmzc/ePCA+zgv\nL6+goECwocGvvXr1asiQIcXFswoKYmNiejVt2vTBgwfNmzens2fJyorYzK/sodW/m/qKeUxHIe5+\nkuZxcXE7d+6s2ESaCyEOhzN8+PD37+u/ezckKmpUly4Lg4ODx48fT0VFdOMGbdjAdIBE0tKKcqXJ\nj0tbtMHMRdXGm1MWGhq6detWOTm5wsJC3++KPCUlpcOHD1dsurm5qamp8aRf4KHt27fv2hU3caKE\nsnLovHnzevTosXr1asrLoydPvi6dyjA1h65v9sUQoXBnxs/TnIgWLFhQ8TgpKalXr14CjA5+y+bN\nmxcu3BQQ0C00VDIg4H/m5uYhISHS0tK0dy8tXcp0dERErGZNtUtfZWeTqirToYilX6a5ra2tra1t\nxWb9+vUFGB38luvXr2toaBQXbzh7tmjUKK/169d7eHhYWFjQ8ePk5MR0dF+Utm7/8s8HLf7oyHQg\nooc311eio6MTEhLOnz9/+fLl2NhYnrQJgjd/PjsggHR0dPz8/KZNmyYrK0vHj9PgwUzH9YW+q7Fi\n0m2moxBfSPM6oLy8fP/+Jn/8QQ0aqHO/nOvq6lJmJmVmUosWTEf3hZSm6t0L2UxHIaaQ5nVAeXn5\n27e6MjLUrRtbU1Nz69atTtx6ff9+GjGC6ei+ULLpmnMOw9xrgjdX3IuKii5dutSyZcukpCT8cCai\nHB1nr117qaxso7S09LdlzA4fppAQRuP6RlpFXrbsc1kpR0ISw+IYgDSvAxwdZwwZkiwjM/vx48eH\nDh36svfYMXJ1ZTSuf2EZd844dYsG2jAdiDhCmtcB3bp1v3BBuVOnMb16PRo7duyXvRkZVFZGglpS\n7ZcaORsrbV1PNPbXh8K/8aZwX7t2bWBgYHBwcOPGjVcwOts31Exubu7Vq04xMXkNG25u1Ojr3Z/P\nn5OCAjE7Pdy/fdbSTz6d1KpvS6YDEUdIc1FXVFQUGNgwLk5TWbnpv9ZKPHqUwsIYDe1f1B27spZf\nI0LhzgCkuagrLy8/dKjYy6vtxImLFRQUlJSUvvxh/35hmDaqgkTbVjr5T0pLCevzVhdvTpiOjs7y\n5ct50hQIWG5u7sCBA/PyOj97ZiIp2axRI8NvfwsKIqanb6+ivGv3d+FXUbgzAmku0pYuXXr8+Os3\nb/rEx7/619jl69epdWuq+HQXAqoO3XUmBTIdhZhCmou0hISEyZOnvXix28Rkhbr67m+LqZWXU3g4\nXbzIZHBVsNlsxXrJd/NaG2Ntluphfg4BYNa+ffvc3d1VVQOOH++4tPLdaYWFlJBAVlbMhfYD6k7d\nONcwKg6gejIyMq5evdqoUdD1606HDh3irq32xfbtwvb9nFRUVMuzcnOZDgNA1CxevNjL6/ysWe3M\nzQ3/+uuvb3+IiSFLS2G7uF1s0Dn15C2moxA9KNzFXWlp6evXzRo3pjZt5EpLS7/94c8/aeBAYZtk\nVb9fO+W0h0xHASBiysrK8vO76+lRs2YseXn5isl5KTubXrwgQ8OfPpsBxY11H0e/ZDoKABFTXs7e\nv19+0iRSVFT81wd6cDCNFbrR5Eo2XYvirzEdhehB4S52Pn782K9fPwcHB0dHx/T09OHDh69bxy4q\nWuLs7Dxt2rRvx+3bRyNHMhblf5CQligjiZIc3DIF8AuLFy+2tra2tLSMiIjQ1tZOShr8+vWEgQMH\ndunSRV5e/stBBw4I1bDXb7p2zYrCJzrAL8TFxVlZWdnY2Pj5+XE4nP+zd94BNX5hHH8aiFRUPxHZ\nESKjvbc2UlQqDUKyEhklpGGElFUUDQ0zURqSloaIor331J733vP745K29r1xP3/de97nfc/3vXXe\ne+45z1i1yqai4s7x40ZeXl6bN2/+aVRUBO3tMH8+QZX2wXxVHrqMBEKrmHgQ174JiXHAwcFBV1d3\n8+bNMTExNjY2BgYOEhJCxsYzFiw4OGPGjJ9GKSnAxAREmW7/x6L1eX5fWLV4CS2EBAniJS0tLSMj\n4+3bt+3t7SIiItOmKW7Zwnbw4BFKSspFixb9NEIIfHwgJISgSvvmPwWecjNvgO2EFkKCBFFjYWHh\n7+9PQ0Nz5MiR8PCohASh9+/n19YWr1y5krLTMeb+fWKoltqbyfNm0bWWk+qnDhXSivs/R1NT06xZ\nswCAkZHx+/fv+/blHj3axsHB8XvWDgAuLqCvTzCJA0LBw1kZENfNSZcECRLd6RzmkydP7ujoOHy4\nSEUll5WV9fesHQA+fIB162DqVIKp7B9mmTWMJV8bSH7uJEj8CWpqagCYNm3a5cv5bGw58+czrFmz\n5vesvaMDgoJATo6QEvunbQZTZmTub+c9EoOANHH/59DV1T106NCJEyf4+fkXLBCsrZ108qRcR0fH\nb4u6OvjyBURECKdxIL7RtpS9eCIqKnr58mVCayFBgkhZu3Ztenq6kZERHx9fXR0LPT3G0nL3p0/d\n65fduAGHDhFI4B/ILSlubqhVVlKRl5dvbm4mtBwSJIgUFRWVTZs2GRgYODo65uRI0dC4WlhYdLPw\n9QVFRWILS8WDw+FicFNuapny8fElJJB8ZgYLaeL+z7F8+fKgoCBJSUl2dvbZs8/Z2c1bs2bNt29d\nIj5dXYmnuFoPsFjso0iXpVTksbGxMTExJSUlhFZEggQxQkFB4e/vr6GhQU1NLSjofeXKwrNnzz57\n9uy3RW4utLXB0qWE0zgQ586da2Vd72Bgq66ufv/+fULLIUGCSDEyMrKzs5szZ86uXa7S0kz29pbv\n37/vZuHkBHv3EkjdH3j9+nXrmgXK85a+efPG3Nyc0HImDKSJ+78IPT29pKRkRwd5aChGWLg1OTl5\n3rx5P49hseDrS1RlFLvS0dFBRUVZT0nfUVpFS0tLWoojQaI/KCgo+Pn5V63iS0xs5OKCiIiIJUuW\n/D58+zYYGRFO3R9obGxEXJxVAfEzZsxobGwktBwSJIiXZcuWycnJ+fnN3rMH9/37dzo6ut/HPnyA\nFStg5kzCqRuIpqamKfyzaTI/TZs2ra2tjdByJgykifu/i6KiS3Oz59atykePHmVkZPzZ6u8PMjLQ\nWbWByKCiouLl5f1INvPytqPk5OTdJiIkSJDoxYIFpxkZ38jIyDQ3N+/s3ElrbIT4eJCQIKi0gTh8\n+LBTUkhNoP+lS5e0iTPvDQkSRMPixTyTJy8wNpa1trZ2dHT8fcDBAbomiyMyFBQUXr972VFXo6Ks\nvI/YqkkQMcTo9kRifIiMXPj27UImpu5eMc7OQNwb01ZWVr6VT+fkxJ5yJfm4kyDxB/z8qF6/3jF9\n+o5urZ6eoKFBIEWDQkhIaEXo6qIl8sHBb6moqAgthwQJosbLC0xN5+7cGdSttbQU6upgGfEWGp8+\nfXpgYGDwwl32hnsWy/MRWs6EgbTi/o+SkQF0dMDE1L310yf47z+YPZswmgYNu57UzMzvhFZBggSx\nExUFa9fC9B4FxbFYcHMDTU3CaBo0jP/NaJlMP7mZlD+KBImBQAi8vfvyb71xAwwNCSBoKFBSUiI+\n0aYQ0hf6ECBN3P9RnJxg9+5erZaWcPIkAdQMkeVctNi6RsBiCS2EBAmixt29r/JKXl4gLw+dNZiI\nmLJFfKVPYwitggQJoubjR9iwAaZM6d5aVQUxMSAvTxhNQ2G6jCCKiia0iokEaeL+L4LFQlQUiIp2\nb01OhsmTYflygkgaEhQUkEezGpOUQmghJEgQL1gsfPkCGzZ0b8Xh4NYtYg5L7Qq5IH9t4AdCqyBB\ngqh5+hRUVHq1KTFD3wAAIABJREFUOjpOlGG+QnEpZUEOoVVMJEgT93+R0FCQlOxVq8zWFk6dIoyg\nodPAzlf8mLQUR4JEv8TGAl9vr9GXL0FMDGhpCSBo6MxW4p70OZ7QKkiQIGoiI0FQsHtTQwO8fQtb\ntxJG0BCZNQuqcTOhspLQQiYMpODUf4i8vDw7O7tp06bl5Z0xN6fudiwzE+rrgYODQNKGzHRp/jYf\nCwBSHDoJEt1ob2+/cuVKSUlJRYWJoeHCnoevXwdfXwLIGhbs3NNy6tsAgyHO8jEkSBAQf3//V69e\nMTAILVumQUHRfRH2zh3Q0wPyCbMymz2Lb33oB2p1JUILmRhMmL8riRGCw+G0tbV37NihqKjy5k32\nypXdKwxfvw5HjxJI2nBgk11Enp9LaBUkSBAd5ubmDAwMhw4devu2fcqU7svV4eGwciXMmkUgaUOG\nmhoyqVZDCskpjgSJbsTHx7u5uZmYmKSmLq+vd+t2rK0Nnjwh8rRRPcBx81YHxBFaxYSBNHH/Vygr\nK2NhYeHl5a2u5lq8OKO4uPj3sfx8yMrq5fNO1CxbBiWYWVBRQWghJEgQFwkJCQYGBh0drOvWTY2N\n7R7yZW0NJ04QSNcwKVnIXxtAcoojQaIbMTExmpqarKys9fVcVVWPuh1zcgJt7V7BqkQNoywXik8g\ntIoJA2ni/q8we/bsvLy82NjYW7eqycl95s6d+/uYuTlYWRFO2nAgJ4fUmfzt70ih6CRIdIOLi+v2\n7dsuLtVNTY/4+fl/H3j5Ejg4YP58wkkbDpQiAk3BpGFOgkQ3+Pn5Hz58GBGR++NHNg/P2t8H6uvh\n0SMwMCCctOGwhmdqcz0G2tsJLWRiQJq4/yuQk5N7e3v7+r5OS6t7/tyOvNP7LSkJGhuBk5Og6oZD\nO5dAlT8p4wQJEt2wtLTEYrE+PtWnTm3g4eH52YrFwsWLE265HQCWiM3H5hUSWgUJEsQFNzf3vn37\nzM0/srNnXbhw4feBq1fByAgmTSKctOGwYAEkU66DpCRCC5kYkCbu/xAsLCwCApYHDiye33XV7dw5\nOH+ecKKGz38yG7AfPxNaBQkSxMXkyZO3bz+wfv0yRUXJ362PHoGUFDAwEE7XMOHggCIcM3R17SNB\nggSAlJTU9Omq169vnDx58s+m8nIIDQV1dYLqGg5kZJDOwI+JIDnFDQrSxP3fwscHdnStfR4XB1Om\nADs7wQSNgA28kxrrsNDWRmghJEgQF69fg4JCl/cdHeDoCIcPE0zQCJg1Cz5N4oHYWEILIUGCuKit\nBQwG6Om7NF25AkeOTKBkMt3g4akPJg3zQTEx/8Ak+iEwMFBJSUlHRyc/P7/30bo6qK2FOXN+vcfh\n4NgxuHJlPBWOIkuXQgIlH8SQfqOT+LcoKCjQ1dVVVFR8/fp1nwYBAd0LJtrZwc6dMGPG+MgbdbJY\nxNoCwwitggSJcQWLxVpaWsrKyp47dw6DwfQ2CA4GGZku79PS4OvXiZK7vTeLhed15BQCQoQWMgEg\nTdz/HgoKCi5fvuzi4mJoaLh79+7eBgEB3dfhXFxAUhLmzRs3haMLGRl8ny3eHvSO0EJIkBhXDAwM\n9uzZ8+DBg2vXruXm9kyK2tEB5eXAzPzrfXExvH4Ne/aMs8hRhEaQozX+K6FVkCAxrty6dQuHwz1/\n/pySktLBwaG3QUAAyMl1eX/kCFy7Nm7yRp21ayFjympITia0kAkAaeL+95CZmSkuLs7IyMjNzd3R\n0dHbwMcHtm//9aa2Fpyd4fjx8VQ46tDKCjQEkVbcSfxbtLW18fLyMjAwSElJpaen9zgaGQnCwl3e\nnzwJtrZAQTGeCkcXPn6yUjSb5OZO4p/i27dvampqVFRU6urq375963EUg4GsLFi+/Nd7Pz9gZYWV\nK8dZ5CiyciWEgTiEkfbW/gxp4v73sGHDhoCAgKCgoNu3b8/rtY5eUwNtbcDE9Ou9tTUYGwMV1TiL\nHF34xKhq68mhuZnQQkiQGD/mz59/8+bN4OBgPz8/bm7uHkdfv+7iJxMfDy0tICAwzgpHFwEBeE8m\nChERhBZCgsT4ISsra2FhER0dbW5uLtdtaR0AIDYWfud6bW8HW1s4c2acFY4uZGSQwyLSHkoa5n/m\nb5i4f/r0SVdX18jIqKCggNBaCMmMGTPc3d1jY2MxGMzdu3d7HPXzA2XlX2+SkuD79y7L7xMVXl6I\nJhOEqChCCyEx5tTW1p44cUJTUzMoKIjQWgjMnTt3EEIxMTFubm703WLTAADi4uDnZL6jA44dAzu7\n8Vc4utDRwYep4ugtaSnun8DFxUVDQ+Py5ct97hv/O2zatElbWzswMFBdXV3595f3T/z9QVHx1xtr\na9DTA0bGcVY46qwUY2rMqwIsltBCiB1KQgsYKXV1dYcOHXJ3d6+rq9PW1g4PDye0IkKyZMkSCwuL\nPg+9eAH37gEAQGsrGBrCkyfjKWyMmDoV4mklNUP8yKWlCa2FxNhiaGioo6PDwcGxa9cuFhaWlRN5\nU3iETJ061cjIqM9DWVmwaNEvvxgLC9i5c8JVXOoTGu4VzVGp1ISWQWKsefr0aVJSkqOjo4eHx6VL\nl06fPk1oRYRETk6u91o7ng8fwNoaAAASEiA5Gc6eHUddY4WQEHx/yin46RNwcRFaC1Ez4Vfcs7Oz\nubm5Fy5cyMHBMWXKlLa/PTlgaGiokZGRvb39kO40Lw9wOPjvPwAAOH8e9PS6BK9NbKaJcje+I5VK\n/vspLS2VlpZmYmJSVFRM+tvrdBQWFpqamh4/fnyou4hv3vxKNBEfD8nJoKc3FvLGH35+KKZaAjk5\nhBZCYmxJTExUV1enp6fX0tL6+PEjoeWMLe3t7Y6OjkZGRkPdRczNhXnzgIICoLUVDh2CvkJXJyIb\nNkBwhxjJzf2PTPiJOxsbW0JCQlhY2PPnzykoKKZMmUJoRWNIQkKCg4PD3r17p0yZYmZmNvgTTU2L\nmZmfxMfHw+fPkJAA+vpjJ3KcERKjrGyaBnV1hBZCYmxZsWKFk5PThw8fvLy8+H97d/6F4HA4NTU1\nWVlZFRUVdXV17KA3jouKihwd81tbn2FbWuDIEbC3H1Od44mgIISDKLx/T2ghJMYWCQmJGzdufPz4\n0crKSvpv30e1sLBoa2s7ePAg/sk2yLPa29uPH/9MTR1QUVEBNjagofHXLMNNmQIpM4VwESTf1z8w\n4Sfu06ZNe/ToUXR0dG5urre3N6HljC0fPnzQ0dFhZ2ffu3fv4FcjHj58/u5ds6rqjGuWlnU7doCz\nM5CRjanO8URQEKIoRDoD1xobG21tbQ8ePBgXF0dYYSRGl+vXrwNAYGCgg4PDwoULCS1nDCkvL1+w\nYIGoqCg3NzcrK2tRUdFgzqqsrFRSOsHMTFlXl/eelxd0dWHx4rGWOm6wsEAItlvGiadPn+7fv9/F\nxQWHwxFQGInRRUJCwsDA4MWLF3x8fHv37iW0nLElLi7uyJEjy5Yt09XVjRl0QRJtbd3ERGYZmY6z\nEhKY+HgwNBxTkePMSv4Z9WXN8Cu8IS0tzdjY+MyZM1VVVYQVRlRM+Ik7AMybN8/c3NzY2JiWlpbQ\nWsYWXl5ed3f3zMxMZ2fndevWDfIsR8f6I0cYJSUlbyH0ePFi+IsmPQ0NDTNnQuRkCRT4Bt9iaGi4\ndOnSffv2mZmZ5ZA21v8iJk+ebGBgcP78efaJWeh38DAxMRUUFMTGxsbHx2dmZvbOENUnHz58oKM7\nfObMXOMlS7Dl5bBr11jrHDdaW1vb29unrVjQlpqDD1zz8/MLDAw0NjbOz893dHQktEASo4mYmNiF\nCxe2bt1K9hctMPUJJyfn3bt3s7KyHj58yMfHN5hTEEKpqXPV1Zm2CvOfqqlJ3L9/otZJ7QUOh2tq\nahIUhFQabnzCibq6ul27dmlra4uKimpqahJaIBHxl/zJJwQtLS3+/v7x8fHDvgI3N/eOHTvOnj1b\nXFxsaWk5mFNwOCgvl5o27QncupVWX49TUhp270RFXV2dnJycnp6emJhYHv30ijfhrU1NAFBYWKii\norJixQplZeW/3kWSBHESExPz6tWr9vb24Z1OTk7u4uLi4uLi7Ox8//59isGlYF+0iO3LFxremV+b\nzp27s2HD8LomQiwsLLZs2SInJ1dfHxCNllQ8fQoAUVFRe/fuXbJkiZGRUWRkJKE1kvgXyc/Pf/78\n+SA3xPrk3LlzVVVVFhYWqqqqg3T/IyMjKyuT2yiZi1VXt2FmXsDJOezeiYr379+Li4tramreuaN9\nt0K4/OZNAEhPTxcQEFi7dq24uDgGg+mzfOy/yT83cY+IiODn5xcUFLT+GZI9TrS0tCgqKiYmJjo6\nOl6+fHnY19m6daunp6eEhISkpKSQkNDBgwfRgCWCg4NhyxYm2k9RX8zNI6Wld/0t63AuLi5aWlqP\nHz9etGhRaur9TxTLTISFW1tb58+f//Tp09TU1GfPnnH+LQ81EkOltrZWXl5eSkpKUVGxvr5+PLs+\nc+aMq6trfHz8pk2bhj13X7ZsmZOT05UrV0xMTERFRSUlJYv/VH4oI2OZqnRtnqjI5YULbzg5Da9f\nYqOwsDA5OTkwMNDMzOzt27PPMFIRJiZxcXGCgoLOzs7Z2dmOjo5CQkKElkmCYJw/f15QUFBAQGDw\nriajQlxcnI6OTkZGhoaGxtevwyzrO3XqVHNzc09Pz/T0dH5+fl5eXj8/v4FPqagANjbu5v3yHqWl\nW2xsZs+ePbyuiQ1LS0s/Pz93d/evX6NCfixsiYo+Y26+fPny2NjYpKSksLAwSkpKSsoJnwVxtPj7\nJ+4tLS0uLi43b96sqakBAHNz8+Dg4KioqLS0tN7VyMaOyMhIcXHxs2fPurm5vX79eoRXO3PmTFBQ\nUGRk5KRJk973H7BVWwvnzoG5UopuZiZHTs5xMzPyv2VbDYPBTJs2DQBSU1PXrq2Ln39EbdKk+Pj4\nmzdvZmZm3r59+8KFC4v/Ih9fEn8kNDTUzs7u8+fPAHD58uUDBw6EhIQYGBhcvXp1PGVEREQ4Ozuf\nP39+/fr1CQkjynfk6Oiop6cXHh5uaWlpY2MzsLH3w7YbxafZnj8/++zZ3LlzR9Iv8YDFYvHD3MPD\nY9Uqyq806nK0tJ4eHps2bZKWlr569eqCBQv6y4xJ4q8kNzf32rVrT58+xeFwSUlJeXl5UVFRgYGB\n45w48t69e05OTqampvb29i4uLiO5VEZGxvfv32NiYiIjI/84zD094drcWzKSkju/fZOUlBxJv8TG\nlClToqOjV61atZpjErWoSuWrV3R0dHfv3nVzcwsPD/fw8CC0QCLi7/8Fs2PHDlFRUTo6uk2bNr18\n+RKHw02fPh0AWFhYqqurx00GPT19dnY2ANTW1o78aggh/F3MmjWrqampTxscDrS1wc60gvHELvD0\nBDq6kfdLPOjq6m7fvv3169dpaWlPn1pZWvCrZWRSMDNPnz79xIkThFZHYrx5+PBhSEjI9u3bjY2N\nra2tKysrWVhYAICFhSU4OHg8lXR0dDQ1NVFTU2dlZTEwMIzkUk1NTbNmzQIAJiamxsbGASw/fYJ9\nX/ZOOakCoqIj6ZHYWLhwISMj4/bt2798+cLDw9PRQZmFYV5PTg4AW7du3bp1K6EFkhhXSktL1dXV\njx8//uHDh8TEREFBwfnz5wMALS3tOPtRMDAwZGdns7KyZmdnM46s8lHnMJ80aRIVFRUOh+tvfa20\nFEqd/Dnmh8HDPyzMTziMjY0VFBRoaGg+f/5sbz//hY+U0A9/AGBjYxvnlZcJwV8+cW9tbW1tbT14\n8GB9fb2FhcX27duLioq2bNmyZs2axMTE/moVjQWcnJyLFi2SlJSkoKC4ePHiwMYNDQ00NDQDGGzb\ntk1JSYmVlfXTp0+HDh3q0+bqVRBcWcN/TRWuX4dly4YvnShhZGQMDg4uLi7W0dGxtrbOK6psmLee\ns6WF0LpIEIbnz5+7ubnR0tK+ePFCS0uLgYFBWVlZT08vMDDw2rVr46nE2tp68+bNOBxOXl6ejY1t\nAMuWlpZJkyYNsP+rq6uroaEhISERERExwLdXRgakKR7brDYP/sYsHNevX6+oqGhra7OwsPjyxeZB\nG+clUh2mf5WwsLBdu3YpKyv/999/SkpKKSkp8fHxOByuoKBAXl5+PJUcP358z5499vb2dHR0zs7O\nA1hiMJj29nb8xlGfcHBwZGdn79+/v6qqSlhYuL9Ze20t2GwMt6Wxo3j8EiZNGukNEBlycnKioqI1\nNTUvXry4dWvLtyTrHJYZhBZFxKBxR01N7dChQwPb+Pr6amhonDt3rqmpqbOxpaXFzs5u//794eHh\ng+9OQECgsLDQxsZm+fLl1dXVOTk5GzdujIqK6ujoGOYNjA0YDCYoKMjHx0dMTExVVVVMTKygoGAA\n+4yMjIiIiLa2tt6H8vLQjh3o0LYSxM+PEhPHTDIR8f49clF5jSwsCC1kDBEVFSW0hCGQkZExd+7c\ngW3S0tJ27969e/futLS0ru2vXr0yNDS8devW4Afp8ePHvb29i4qKWFlZHzx4gMPhuLm5Q0JCKisr\nh3kDY8bXr1+fP3++a9cuBQUFMTExX1/fAYyrq6vfvXtXVlbWn0FZKe4Fk0HV8YtjoJToqKtD8tLt\niJ+f0ELGEFVV1YqKCkKrGAIzZ84ceJw2NTWdPXtWQ0Ojx796dna2iYnJyZMnS0pKBtlXQkKCmppa\ne3s7Nze3vLw8QsjGxsbS0jI1NXXY+seIioqKZ8+eOTg4iIqKKioq7tmzB4fD9WeMxWKjo6OTk5P7\nM8BgkDXfy6oN0qixcWz0EhebNqGmbTqo/w9kouPr6+vo6Djs04nR4zkiIsLPz8/e3p6VlbWr28PJ\nkycpKSkNDAwuXLiQmpo6yKvduHFj7969rq6uqqqq9PT006ZNo6amFhAQIKpAB4TQli1bEhMTHRwc\nAMDX19fS0tLOzm6AU1hZWYWEhCZPnty1MTUVDh0CPT04vKPyepkaXLwI69ePrXTigJ8fPEvF4e1b\nQgshMViwWKyOjo6JiYmJiYmOjk5nmaGoqKh79+7t27evvLx88GHcZmZmYWFhqqqqkydP1tLSIiMj\no6GhERQUHOEu9qhz9+7dS5cuxcbGvnr16u7du0FBQQNvCNDT04uKijIxMXW2NDdDdDRcvw56erBR\nGoWtN+GU/Y/h4vGx1054aGkBSz6pfc4CyMwktBYSg+XEiRPLli2zt7d/8eJFxK+CGx0dHVpaWgoK\nCkJCQoPP9MfJySkqKiojI5Ofn48fONOnT1+6dOnAW1vjT05OzpYtW8rLy8+dO6enp/fy5UsqKqoB\nSiyRk5Pz8/P3SHRbVAReXnDgAEhKwrH1b/VqrzKE+gD1P7HfJC8P0QxK8PIloYUQKUQ0ee3k06dP\n27ZtY2RkVFNTc+qSHiEpKQk/VnV1daOiolasWDGYq61fv/7Vq1fV1dXbtm0zMDDIzMy8dOnSWEkf\nLgUFBXR0dCdPnqyqqvr48eOPHz+oqakH6bSHEHz9Cm/fQnAwzJ0Lu3YBH0MG7N4N16/DoHO9T3Qo\nKYFxHlVT2wLqtDQgsof44Glq+kceywAAZWVlS5YsWbZsGQAsWbKkrKwMH1L5/v17IyMjdnb2ZcuW\nKSoqnjx5cjBXo6GhuXv3LgAYGxtv3Hi6tHQlC4uZhweVjg4Q0y908PHxCQkJ+fjx49evX/39/Xfv\n3j1wtkeEwMUFPn6E7GzAYICcHKZMgdWrgZsbNsm0LbTUJzvBDQcPjpt+giMjA3GF24W8vcHcnNBa\nSAyKlJQUe3t7MjKybdu2JSYmCgsLA0Bubu7q1atFREQAwNnZuba2dsaMQblG7NmzZ8+ePW/evNmz\n5wA5ucKPH43GxgbV1TCycJJR5vnz58ePH1dSUvLw8PDw8NDS0po2bdrAX+glJfDuHXz5At++Ad7l\nk4kJ+PlBTw/WJLlR+L8AN3+YPn2cboDQKCjA4ZcbpVKuwalThNZCjBDjiruIiIizs3N8fLyNjQ1+\nYONhY2Nzd3cvLCx89OjR+iEuJDMwMAQHB69adYafP+ThQ65Ll6ChoQ+z5ORkISEhaWlpbW3tjl+1\nu8YBBgaGwsLC9vZ2PT29xMTE48eP7969e+BsCTgcBASAgQGIi4OTE7CxwbNncP8+8DUEw5494OEB\n69YlJSXp6ent378/Pz9/3O6FUMjJQfAyI7hxY2CzkpKS8PDwurq68VE1eCIj4U+xD38VzMzMxcXF\nb968efPmTUFBAfOvqt28vLyurq7FxcW3bt0a6jAHACWlq42NZ83N5Y8eFa2vBzk5KCnpadPW1qam\npiYmJiYtLT34vbtRAR+kzsXFlZWV5e3tLSMjs3379v6MsVjYvRvS0+HQIXj9GsLCIDQUXr8GW1tQ\n5iledHgT2fZtcPBgXV3dyZMnNTU1AwMDx/NeCIKSEtwtVoDAQBgw1WZLS0tERERubu64CSPRH0JC\nQpcuXYqPj797966YmBi+cf78+cnJyV+/fo2NjS0rK6MbYu4EERGZqVNfrVqlZmBgWlExeePGztrZ\n3bhz5w4vL6+oqOgIE78MFWZmZnzOOmFh4eTkZG1t7eTkZAEBgf7sk5Jg2zZoaoKtW8HXF8LCICwM\nvLzgwD7MuienKT7GwePHMH26q6urhobGpUuXxnNyQhDmzIGKxmmYdVzw7t3AlklJSXFxcWjApNh/\nIaPmszNoBuPjHhsba2Zm5u7ujsFgOhvr6+vNzMw0NDT8/PyG2ml9PdLURAcPosBAlJKCPDyQgACy\ntERdXOgRQkhBQaG4uBghdOXKFU9Pz6H2MkjS0tLevXtnYWGxbt269evX42/Hz89PSkpq48aNL1++\nTEpKamhoGOAKZWVIXh4dP44iI2tcXV1DQkIQQqi9HR07hjQ1UX09QqixsVFAQCA5OTkqKkpCQmKM\n7oV4KC9HmzYhJCaGamr6swkICJCVlbWxsREUFMzNzR1HdX/m1Cnc69etAxj8fT7uFRUVNjY2NjY2\nPZx6PTw81NXVraysWlsH+kB6ExSExMVRbe3vlo8fES8vCgvrZubi4uLg4IAQys3NVVZWHlIXg6em\npiYkJOTJkyecnCJr1wofOHAAIZSXl6eioiIlJWVubp6SklJUVNTf6e3tSE0NXbuGEEIYDOb58+ce\nHh6NeA/Xly+RgABKSsJb6urqent75+XlycjIEKGz76gjJIQwtpeRu3t/BjU1NcLCwpaWlioqKi4u\nLuOpbTDU19cPcPTv83HHYDBubm5mZmaxsbFd279+/aqvr793797s7Owh9VhXh6Sl0cuXv1vKypCS\nEjp7FmGxvxtra2vFxMQQQjgcTkhIqKnHl/0ogcPhIiIiwsPD5eTkuLl5xMTEiouLsVisiYmJtLS0\nmpra58+fU1JSBnBwf/8eiYig0lKEEEpMTLx//35GRgZCCOXnI0lJdPcu3szf319PT6+4uBj/zByL\neyEqLC3R23s5aMuWAWwMDQ0PHDhgamqqoqIywCdMEJqbm9vb2/s7OkIfd+KauH/58mXjxo0yMjLP\nnj0bYS8NDQ2qqqqioqJKSkqxsT/4+NCrV90MsFjk7o4EBNDHj78bpaSkWlpaEEJubm5OTk7D6/rD\nhw/S0tISEhIXLlzoffTZs2cyMsqysj5Tp17dvLlZXR0zd67HzZto8M+ut28RHx+Ki0Pl5eX8/Pz3\n7t07duyY/b59SFwcdfmW+vLlS+fnLCMjg7+vvxtxcdTm4oEu9huop6SkVF1djRAKCAiwsrIaR2l/\nIDAwkIbmIz+/uK6ubn8PoL9m4t7U1KSrq7tihf3x46YjjxG/du0aPz+/gICAh0eskBDqPSmqrkbS\n0ujOnd8tDg4OPj4+CKGGhgZZWdnh9VtfX799+3YZGRkVFZWaXr8VS0vLWVktFywonDQpdsWKIjEx\nNGdO7po1tXp6yNUVFRb++fomJp1f2UhdXd3S0vLevXsbBQUx+/cjXd2uMWqd/xj37993c3Mb3u1M\nIE6dQu9f1CARkf4M3N3d7969ixDq6OggqlFTVVUlKCi4bp0pLy9vfn5+nzZ/08Td2dmZg8N482aD\noU7NexMXFycsLCwgIHD27Dl5eRQa2tMAh0O2tmjTJlRX97OlrKxMRUUF/1pJSan3IB0kV65cERcX\nl5SUfP/+fe+jysqmbGyJNDRptLRfJCXR+vW1LCzpysrI2RkNmF3iJykpSFT051qDr6/vli1bHj16\nJCEhkW1lhQQFu0Znnj59Ojo6GiFUX1+vqKg4vHuZQCQloT17EFJWRpmZfRo0NzdLS0vjX+vq6v78\ntUMcGBsbs7KeYWdX8vb27tNglINT9+7dGxkZicPhCLL8f+jQISsrd1ra1/fu3ftjpcCBcXBwUFBQ\nePfunZqa4dattY8eQY9sUeTkoKkJnp4duroFMjIBKSkpALBnzx55efljx445OjoqKysPr+sTJ074\n+PiEhoZmZ2d/+vSp66H2djAzK62vf8zBwbduXfH69R5XrlAwMUXS0uIsLEBKCuztYeBNsPfvwdIS\nAgOBmxvevXunqampr6Z2vqNjpYuLSk2N06+Tw8LC8AUdIiMjX7161dbWRkVFNbzbmUDIy8NzSlV4\n9gz68Sakp6cvLCwEgIKCghHm2B5dLly4xc+/Njr67cyZM6Oiosa6O8IO84sXL27cuFFO7mBJieSd\nO3dGcqnMzMzw8HD8P/mBAxhHR+idRpWeHl69An//Eh6eD48fP0cIbdu27cqVK8ePH1dUVNy3b9/w\nur5+/bqqqmpgYKCenl6PsJn0dBAUxK1bp/jt2zxe3mPMzDvDwuDo0adnz74zMYGODtDSgoG37lNS\n4Pt3MDAAAOjo6KisrDQzM9Ono7P7+vWIv/+eSZMacDgAyMvLc3JyoqWlvXPnTlJSkru7Ozc39/Bu\nZwKhqgpeb2bCypXQz0ihp6cvKCgAgMrKygHS8I0/N2/eNDI6zcRke/369StXrox1d4Qd5snJyW/f\nvrWzu9xxPZJNAAAgAElEQVTRcfXAgQMjvJqpqamPj09kZGRo6OxZs0okJHoakJGBqSls2VLJzl58\n6pRrfX09ExPT1KlTd+3apaenN2vWrJkzZw6j39TU1I8fP759+/b58+c94m1wODAwaI2JUfXwWG9k\n9JCb++iDB8XPntUKC593dAQqKti3Dw4cgAFyFONwcPAgODv/LLLi4+Pj5OSkvn69S3l5wKVLilRU\nSRgMALS1tbm7uyOErl69+u3bN2tr63+hWjAHB6SkAHafETg49GkwefLkhoYG/I/G0tLSQcZIjANp\naWmVlZUsLOeio5849CN+hPScuJuZmcXHx2/fvt3MzGycvT8RQgCwYcN/bGzkWOzuEbplV1dXr1y5\nEoMBJyehtWu9Fi7sw6axsdHG5oChYeC8eWskJQs9PZ+tWbPG1dVVQUEhLCxsJBM7/P/Q0qVLq6qq\nOhtLS0FICKZPJ797N8PScs6PHwEfPjw/cUKbji4jIEBTROReQABQUICEBLx50/dlExPh1Cl4+vTn\nOF8yd+70Bw9AQuJ2ZORZTk7vhITY2NioqKgHDx64u7vPnDlz8uTJ9+7di42N9fLyGva9TBSuXr36\n8qXGcbNvjSIi8OxZnzZnzpw5dOgQNzf3mzdvdu7cCQCRkZF2dnZxcXHjK7YnNTXrJCXJAICOjq6/\nilqjCAGHOQBkZ2cLCAicPw9JSfwpKeUjuVRNTc3y5cvJycnDwmZQU5euXt2Hp2N7e3tISAA19RFx\ncWYTk1VHjlzLysoKDQ2Vl5d3c3NTVFQcXtfV1dVLliwBgCVLlnQt5VZdDXp6cPRoEjv7S2pqEBcX\n//79+6lTp9zc3Hx8vB88MFVR+REcDOnpoKkJfYZaIATGxtCZbGbSpEkrysraRUUzHz5UpaU9FRen\noKBgbm5eVFSkra1NQ0PDwsLy8uXL+/fvX7hwYfny5cO7nYlCdHT0mTNKvr7fP3Dygb19nzYyMjKl\npaVcXFzKysqWlpYAUFxcbG9v7+XlNc5lenrQ0tLy9euiTZuAlpZ24IpaowJhh3lubi4XF5eEBPnc\nudT5+SNNk4AQmj17dk0NWWGhgpJScp825eXlzs5brKyKXrxQEhKyDw8Pt7e337Nnz/79+wdOtT4A\nNTU1+Arc06dPn9Q9e7qJCaxYQbFo0YG1a7Gampr4ut1qamrNzc2nTumuWJH46hVwc4OkJKSk9H1x\nBweQkYGlS3++Xc/I2KClhTUy2v3jB/bcOWd3dyMjIxwOp6GhUVNTs2DBgqysrJs3by5evNjY2Hh4\ntzNRqK6u3rVrV2mp5+5HFZCY2OeDkoKC4uDBgzw8PBs2bJCRkfnvv/86Ojrc3d1v3LhRXj6ir5UR\n0tzcTE6+8L//gIaGEn7NbEeZHivw9fX1Pj4+2traKioqR48eNTIyGvzq/SB9jAZwldHR0bGxsbl3\n78GMGR8TEobm3tqDz58/8/Dw8vMnL1tmHRER0eNoa2urkpKSrKwsDQ1NdHR0Q0MDM7MRA0PKpk0H\n7O3tR9IvQujixYva2toWFhZSUlLNzc34xsJCxMODPnxAOTk5ioqK0tLSu3fvjoiIOHjw4LVr16qr\nqw8dOoTfvq+rQ4cPIyWlBh2dY3p6el++fMFfISoK8fCg4mKEEEJVVejSJcTLG7JliwAnJz09PX6f\nyMvL686dO52OMaGhoX266/x9BAUF7d+/H4fD8fPX6ipoI25uNGCQAJ4nT55s3rzZ399/48aNQUFB\n46CzP0RE0rm59Q0MDKSlpftz7B7FTf9xGOYDuMr4+fkpKyv7+vpycppu3Dgir4D29nZRUVFzc9tZ\ns3KMjE71Nrhx4wYvL++8efP27t2LENqxw3bKlARVVXcFBYUReukkJSWJiIjY2tqKi4vjo6MQQm1t\nSFoaxcQgLBa7f/9+aWlpeXn54OBgDw8PGRmZsrKy4OBgNTU1vPGrV0hcHHvu3GV1dfWuLi5ubuj0\naYQQQh0d6OlTJClZoqyswss7f/78EydO4O9aSkqqq2MMUTmEjB0dHR08PDx1dXXm5m1sbMcwysro\n3bs/nlVZWcnFxeXj42NhYbF79+6xl9kvubm5M2aE7959mouL69OnT33ajKKrzDgMc9S/q0x1dbWA\ngICbm5uJyfk5c/K7Rp4MA0tLSy0tLS6uLytXHurtrf7582cuLi5BQcGFCxc2NjaGhERNmeLByxsn\nKCj6/fv3kfTb1tYmIyNjbm6ur69/9uzZznYHB3T0KEIIPX78WFxcXFxc3MnJ6d27dwICAp8/f87L\nyxMUFPzx4wdCqKAA8fOj69ff79ix4/Tp03W/XHlyc5GICPr5yX35gnbtahcXPy8hwcHBsWLFCvxH\nqqysnJubq6SkhD/FwMAgPT19JLczUdDX1w8PD//+HbGzf4w/ehQN7l9XXV3d1tb20aNH3NzcA0eS\njCk4HI6D44Go6E1ZWdmL/TjujrKPu5qamoeHR+2vQfbo0aPBXMXDw4OPj09cXJyfn/+PMZ0DTNyx\nWKyfn5+7u3tKSiMf39BKDWCxWAcHB3V1dVdXV4QQDoe0tBq1tFJycnJ6G3t6el65cgUhpKysvGHD\nhocPH65atcrfP1tAAHFyag+h135ISUkJCgrqDE3Iz0e8vJ2xZN3YunVrVVUVQig+Pv7YsWOd7WvW\n7NmwoenIkRp2dsOcnOa9e5GuLqos7UBBQWjnTiQoiDw90a/rW1hYmJmZBQYGioiIZGZmGhoa4qeh\nZmZmXl5eI78d4ufWrVv4nz337+OWL7+KnjxBBgZ/PEtbWzsvLw8hlJycPKRvtVGHjw+VlJQmJydj\nu0ZXdWcUJ2fjMMwHDk5NSkq6f/9+amqqnl63ILPBEBUVpampaWpqin80t7a2bt6cY2GR1tuyublZ\nUFAQh8P5+vouWLAgNTV1yZIlZ89e3rYNCQj4f+wa3TIsqqqqXr58WV5e3tmio4P6/Cy9vb1v376N\nf93177htmzsHR15ZWfXu3btfv36NEEpJQXx8qOXTd2RhgdavRxYW6Nf1P3/+LCkpGRQUdPDgQXt7\n+/Dw8N27d+NwuM+fP6uqqo7wXiYElZWV+DvNykILF8YWfvqEeHjQn6aE/v7++Kc9IvQvnB8/kLQ0\nJikpaYBZxShO3MdhmKMBfdyrqqoePHjw5s2b169xQ/3FVFFRcfDgwZ07d3YuXV26lCEhkd/Y17Rg\ny5YteXl5P378WLZs2YULF+Tl5QUEBG7dQjw8Pw4dOtvbfkhgMJiQkJBOGQihly/Rtm2o96O6o6ND\nUlIS/9rExCQhIQH/+s2br/T0qaGh1S9fvtTV1UUIVVQgUVGUElmD7t9H4uJIXR39MsZgMMLCwj4+\nPu7u7tLS0lgsloeHp6ampqmpSVBQkIDz0fFEUlIS/0/Fzl5tbX0NqamhQaysdY7uM2fODKlM56gj\nKYkSE9MGqKFJFMGpmpqa+B/oOBxOX19/YOPBZJVBCL1+jbZsQV2SyvwBR0fHM2fOZGdnGxoaPn78\nZM+eAWIU0cOHD/HRS0VFRfPmzePj41NQUEAIJSf/mDHja/fY935pa2vbu3eviIgIfierP7PCQsTD\ngw0LK+tzDeP27dv4Ea6urh4cHIxvxEeftLaiV6/Q+vVv5IVKvlo8Qfr6aMMGZGLSOcI7weFwL168\nsLOzw6+719TU4Nduz507R2yh1mNEbm6usLDwo0eP9PWNly/PQwghXd2e8ci9sLGxwU+nLl68eOvW\nrXHQ2Sfp6Uh7EL8WCb6qOqRhPpisMgihujrEzY26TH3/QG5urpSU1Pfv3589e6apqYkQ8vJCurp9\nGzc2NnZGL61du1ZMTIyFhaWurg6HQ6tWeW3d2tBX3eE+8PDwEBYWlpCQwAeH9YeVFfbw4do+N0zy\n8/PFxcVjYmKcnJzwa/94ZGRk3N3b5eSQs3P8eQuL1PvRD+adbtvAh7ZvR8+eoV4B5cnJyVeuXAkM\nDMS/vXHjBj53bfHPnbi/H0VFRQcHh9u3b9PTJ9XW4tDr10hHZ+BT0tPTFRUVW1pakpOT8eU2CcWD\nB92CpPuE4MGpQxrmaBBZZfAYGqLnz4cgQ15ePjQ0FL+v9ePHj6QkJCaGfm1g90RJSQm//nXhwoXV\nq1ezsbHhq7SePBk2f37JIPOHpaamysrKCgsLd/7M65OPH5GAQFtxcd/f+IqKik+fPg0LCxMWFu78\njXHv3j0HhycCAuj6dSQoKF8UmXN1iWOtgBwSFUX29qhX4dja2tpbt245OTnhrxAbG6ukpCQnJ9c5\nQ/jruXPnzq5du7y9vRctun3tWjGqqUG8vAPki8MjISGRmZnZ2NgoJSU1QMKusaaoCP0Kiu4Xopi4\nq6qqvn//vrS0NCIiQkNDY2DjQU7cEUL29ujAgUEJwGLR5s37AgMr/fyQhkbFnDk5+DRq/dHQ0CAo\nKLh//34BAYFXr14hhA4cOLBhwwZubu7Xr2MFBH7OjZuamkxNTWVkZHR0dKSkpGRkZMLCwhBCX758\nUVVVXbt27eHDhxFCz549MzY27rOjkhLExlazevUOdXX1PlO74HC4x48fHzp06O3bt79bMZhdAgIf\njx3LV1b+TEeHlZREtraoyy9+Er0pKipycXGJiIjYtg0VFCBUX4/4+QdO1tPS0nLgwAEeHh4TE5OR\npzcZNo6OA6S2+w3BJ+5DGuaDnLgjhCIjB0759RMcDrm5ISGhAk3NYPxEX1RU9NMnJCaGBkgaaWpq\nqqysrK6uvm/fPoTQy5cv169fv27dOisrq/v3kZYWwv+wffTokZycnIaGhry8vJSUlKWlJUKovr7e\n2NhYVFSUjY2tpaWlvLych4env45cXOoYGd9qaWlzcXH1uZafkpJy9OjRW7dutXX5uXD7zBk3DY1P\nWw+FUvF/oeF5PPfQD5+g3vN1Ep20tbX5+vp6e3vb2bU/eIAQQmj/fvTzVb+4u7sLCAhs2bIlKytr\nHET2h5LSn3+jEnziPqRhjgY9cW9uRsLCaDCzqZISdPw4bvly+7Q0hBA6deqUv38cHx8a4MdpeHg4\nLy8v/mFeXV1dXFwsJibGzc0tKyv78WOjoCDCf6Lfvn1TU1PbtGmTqqqqtLS0hoYG/qN2dXWVlZWd\nP39+QkICFovV1NSM7Wf1Li8PMTHlSUpqiouLX7p0qbdBXV2dra3tqVOnuq62Zn7+fIiHJ/Po8ajF\nEolT1gUzqJXaPkBlZX/+LP5hYmJi7t+/HxNT9PPbISwMqagM9KxH6Nu3b4qKioKCgk+ePBkfkX1i\nb9/3vmtXiGLiXlBQcPLkSS0trZMnT/aX5aqTwU/cEUKGhsjCYqB19+ZmdOcO4udH7Ox569YlnDhR\nvXXr+ceP//xna29v//LlS2VlZe9DJSWIhwd9/45MTU1dXV3Ly8vnz5//6NGjxsZGbm5uDAbDz8+f\nmZm5b98+dnb2tra2srKy7du3975OWhri5kZcXAb4pOyXL1/GLwP8BotFxcUoPh75+SFHR3T6NNq+\nHYmKIjGx1p073ygp3dXTK/nT50miB8+fI1tbhBBCGRlIXBzdvYuIe9th06ZBPcMJPnEf0jAf/MQd\nIXT6NLp3byCDr1+RhAQyNUVBQUXLljmIiTWws1fMmZO8YcNAX+d4cnJy+ssUZmODTpxACQkJ27Zt\nq6+vFxAQwK/IHjhwIDQ09MiRIx4eHjExMatWrcKvdXVu4PYgJgYtXFjo4fEMIZSbm9uH40pNDUpJ\nQW/eIFdXdP482r0bSUggERG0bVvS9u13N2+OCQgoKuojlyWJ/igrQz8zeba2InyKzBG6UY8xNTVo\nMKlHCT5xH9IwR4OeuCOEvn5FcnJ9eJh00tqKbGyQuDgKCEBr1lyWli5ZtaqJlvYLJ2dHfPwfLv7j\nx4+kpKQ+97vi45GoKGpoQHx8fJmZmY6OjgsXLqytrY2IiNizZ09MTIyamlpDQwM7Ozs+BMLBwaHP\nmV9ZGVq/vnXjxuMIIRwOJygo2LO7lhaUlYUiItCjR8jODh0+jOTkkKgokpUt19HxkJPzsbYeILc3\niT6RlPy11O7jg4SFUT/BIcSDtPSfn+QjnLiTodGOeHVycjLApzH7RXt7u6enZ2etr/v3769duxZf\nn7wPGhvB2xt+ZbBCCN68gZQU2L4d5s/vZlhYCB8+QGYm8PKCoCBMnow+fPiQn5/PysrKyck5wruo\nqgJnZ6CicjM03F5bW/v06VMWFhZFRUVHR0cNDY0nT54YGBgUFBTcuHFj48aN3759o6amnj11Ki83\n93///Ye/Qvbn+phIrMLGjphgH2lp6UmtrVlJSTMoKBinTAH8Zz5lClBTw+zZwMwMc+fC3LkwZw4s\nWQJMTL31lJaW2tra1tbW7tu3j5eXd4R393fT1gbCwhATAxQUABgM2NhAUBCsXg0rVsCcOQAAtLQg\nIgLEkR+ztrZRWBj76lXd/PZ2wOFg2bL+LMXExN79qYzcuNF7mANASEhIZ63KioqKGzduVFRU9HsJ\nf38oLcW/xGLh5k1gYwMpKSAj62aVnw9BQQAASkowezYAQF5eXmxsLB0dnYiI2KRJVN0zPQwZX19o\naspdvryUn5//6tWrCKGjR4/GxMSQkZHFxcUdPHgQIXThwgVGRsZ58+alp6cvnj17+cKFq1ev/nl+\na+un6Ja8PFg4I3oGHdXiuXObystzk5LYWVgAiwUAmDIFKCnhv/9g3jxgZgZmZpg3D1hYYOFCoKTs\nIQYfqBMfHy8kJLR3716yHp8Fie4oKoKT088xDaGhcOYMLF4MK1bA4sVASQkUFMDH9+sw4Tl7Nq+9\nncz6OB18/w78/P2Zbdu27ebNm53fI4Slz2Gek5MTGhra+dbY2Li2tpay1z/zT759g+joznfR0RAf\nDzt2wKxZ3awaGyEiAlJSQEQEuLmBjAyamprCwsJaWlqEhITmjPiPmJwM797hAO4cPGgYEBCQn5+v\npKTEyMh47949dnZ2ampqTk5Of3//qKgoRUXF0NDQ5UuWzJk+nZ+ff/LkyQAAWGzht/qICBDaUJmR\nHC4pIQG1tfGhoVwrVpC1tgIZGZCRARUV0NHBnDk/v83xI33pUqCm7q3n3bt3Li4uTExMJ06cYGRk\nHOHd/d3cvQtkZD9z40JJCRgaAg4HK1bA8uU/s/8uWQJDr7E9RiQmFh85MiXgJeX0799hzRqYPr1P\ns8ePH1dUVOzfv394vfQz2IYFQoiMjIyNja1HOxaLxeK/w34xUGZZDAa6HCUjA1lZ4OSEx4+hre1n\nI36Gs3AhcHKCqmrnNz0ZPz8/f/8PxCHByAg6OuDouPnRoyBO4VWfcnOnzJ79ODSUjJ6efsmSsra2\nmNRUCgoKCkZGcgaGKixWUk6Ohobmxr17Jy0sJs/8z9MTUitozb0oqOkoaYRXq9nb/7doUc3cuR5e\nXjCsUaqrq3v+/HlmZmZNTU1fX99ZPR57JLowZQps3Ah+fqCsDEBJCebmYGoK2dmQlgaVlQAAKSlw\n/jwwM8P587BiBQGlVlVVCQuf2N9AUbfGJ4+HZ6G1NQHFDJL+hjkAtA9Yhb63dedLCgowMoKQELC3\nB15eqK6GqiqoqgIcDmbN+j1lx7Nw4cKFfaZ3HRaqquDkxPzmTQrNzNR2aurKysqg+PjouLijR49W\ndHR4BgRwcnLCzJmzV6woraxcsHatkKjoixcvWpmZuaSl6+rg2m2q2YumGlhBA8W23QYGc+joUsrL\n7X19gZ8fKCiGKsbR0bGlpeXmzZsXL150c3PDZywl0R/q6uDlBT8z40lKgqQkFBZCejrk5wMWCy0t\n4OICjY2wZw+oqxNWqp6eXkOA0Hk488mTfL2l5QATdyJhgGHe1vlNPBi6PxMEBGD+fHB1hZUrgZwc\n6uqguho6OmDSJBAQABkZIP+VoZqamnrYqVp7s3o1NDSQ+/lJxcTEks2cGRscvLi4OCUoSFBKioWF\nxcnJadrcuc1TpjCvWlWDEJoxQ3jr1oKCAqfQUKMTJzBkk7x9yZNK6CzcgYZpmttl5JWVVY3FbjQx\n4TY2HsYCUG5urq2t7YMHDzIyMgwMDJ71k7yYBJ7t20FF5dfEnZkZXryAujpIT4f0dPjxAxCC4GD4\n8gVERODCBZgyhYBSX7x4cf5YumPjs/QFaSsMDKatXDlWPQ17rb4ro5VVhtj49g3HylplZHQFX3/h\nzZs3+KidqqoqW1tba2vrsrIyDAYjISGBtz9+/Lib21dRUdSjzHZjY2NhYeFI4kS7hkv3Wb+NRFdK\nShA+uL+1tfXatWv79+/vFkKAJy0NCQoigvq83r5920TCp0RoW1NT08aNGwc2JrirzChmlemPtDR0\n/z569Qp9+TK0pFIjoaMDSUrWqqu7OTs7x8XFeXp64hNxYLFYT0/PzoKFnT4MCQkJxsYmd+8iAQHU\ndSxiMJj8/Pz+snkOBi0tLbxr7NevXwmb5mhC0NSEhIR+vg4ICDA0NHR0dOzpilBXh3bu/KMT/JhS\nVVWlJLcjZaYgqqrasmVLn/6ZnRDcVWYUs8r0R3s7ev0aBQSg+Ph+403HAiurZl7epPPnLfHVyjoz\nRSYkJJiZmT148KCjo8PHx6czUYGIiEhsLOLjQ1eudPPwKS8vx1fgHh5+fn74zT18F8O+zr+DmhrC\np8HMzc09duyYqalpz9hTDAZ5eCAVFUS4WDWE0MaNGz0XnWp08Xn06NHA6S5G6CozOivub968iY6O\nJiMjQwjt3r1bQ0NjVC7b2trq6upaVlamrq7e50//sQOLxcbGxs6YMePly1W7dh01NARx8d9HGRgY\nTE1NO99Onjz57duwzMyF9+4pyciwPXzY06uHmpqauq/9ssHDyMjo4+MzZ86ct2/fHjlyZCSX+heY\nMwdmz4bPn8HLy3z27NlaWloWFhazZs1iZ2f/bbR8OXh5wfbt4O4OixcTRCcdLe3WmOt0Hx+Vl5cT\nf2nbMRrmABAcHBwREcHFxbVp06ZxriCUnp5eWVn59CnPtm1ay5cDNzd0Fh8lJyfveo8CAgIXL3rO\nnLnjwYMOcvJTtLTw9m239R0KCor5PUb+EJGUlLx06ZKOjo69vb2KispILvUvMG0aLF4MKSnQ1BR3\n+/Ztc3PzoKAgGxubM2fO/DaipQUXF9ixAzAY0NcniE4qKiquj/U1kqrYGTMqKyuJfKSP3TDPy8tz\nc3OjpaXdtWuXnFzfLgRjRHV1dXJy8q5dK1tbORoaODg4gIODo/MoJydnp3stJyfnvn1G1NRyfn7N\nmZkOjo7g5QULFnS72gh3vLm4uK5du8bNzZ2RkbGgx6VJ9MXOneDmBufOYTU1Nc+cOYPBYHbs2BEe\nHv7bgoICduyAqVN/bsP157g1xszvmL60LoFa16r4ypUxdYvoWTl1eLS1tUVGRpaVlUVFRbUMUOF3\niBw8eLClpYWLi0tfX7+rs6y3t7egoODmzZszMjJGq6+utLe3KyoqBgUFXb9+3cvLwscHDA2hP+/i\n3Fzg4Hiiq7vE1TXn+XMmT89Jnd/doaGh+P+zkX8mDx48KCsre/funbu7O/GU9iVmDh6EGzcgISHB\n2NiYh4dHX18/IiKip9G8eXDnDuzcCWNR22wQKJFP+0q2RHbfTi0tLSsrK4JoGDxjNMyDgoLu3Lkj\nKir64sULT0/Pzvb09PTNmzcLCgr6+PiMVl89uHz5srW1dWho6Natci4urWZmkJDQt6WbGzx7dujt\nW+W3b4MPH65LT59pYfFz1l5SUrJ//359ff309PQR6tHW1paSknr+/PmOHTuUlJRGeLV/AS0tcHeH\n9+/fGxoacnFxnTx5so9hTk4Orq7g5QXJfVfcHGuosdhNjUUmGa/4+Pi0tbWn9+P2SiSM0TBvbGzU\n0NBYs2bNtGnT9PT0Otvb29uPHDnCy8trbGw8NF+7QfP169etW7fGxcWpq6vLycVSUECXZbduZGeD\nldXioqLH167lMDAkpaQscnf/OWvHYDB2dnYaGhojfxzNmTPnzp07wcHBLS0t/Qb7keiClBS8fQt5\neQXLli2TlpaWk5NjYmKqxDu+dkVZGXh4wMaGEBoBAA7UkF2ZyioiIpKYmKimpjaGPQ17rb4rY5RV\nRkxMDP/i+vXrz3/lgM3JyZGTk2tqakpNTf2jd8HwiImJwVcoRL92surrkaIiMjfvlkg0PBwpK6Ot\nW9GzZ6h3pPi3b98UFBTS0tI8PT337NkzFjpJDIyYGNLUPOHh4VFYWKiiovLhw4e+7U6eRC9ejK80\nhBBCra0/WLkun/4xSHOCu8qMUVaZw4cPJyUlIYSKi4u7pp/buHFjampqU1OTrKwsvk7WqNO5T21j\nYxMYGFhZiUREeqZdzc9HCgro9Ol+XXfExcUjIiI+fvwoJCTUPJ4b/yQQwmIRLy8KDg7V0tIqKipy\ncnI6ii9o2ZsvX5Cm5viq+0nL/qPnOQabn47grjJjlFUmOjr61KmftY3FxcU7K83Z2dnhq5Vfu3bt\n+vXrIxDeL0eOHElMTEQIZWZm4jPTnzyJjh3rlmysvR3Z2CAJid5VUn5iZWV1+fLlrKwsbW3tkJCQ\nsdBJYgCOH0eBgR28vLxfv379/PkzHx9f377HOBzi4xtM3fTRJyrqPbPaIGuSEIWrDAsLi/UYxNXN\nmDEjIiJi9erVgYGB9vb2+MasrCxBQcFp06axsbENLUpm0NDT0+fk5ABAU1MTPhkODQ28eAHPn4OS\nEqxfD2VlUFQE3NxgZwf9hcnFxcWpqqouX758+fLlzs7OY6GTxMBcvQqHD19ITbUOCAjQ0NDoNxuP\noSHo68OmTeOrDqrc3SOpJQQVJsz+yRgNcw4ODh8fn+XLlz969KirL1NbWxveQU5AQGDs9pRra2tn\nzJiRlZUlKSnJyAg+PqCjA4KCYGICra1w4wYEBsL16/DLfaYnjY2N06ZNExISwt9IdnZ2N3csEmMM\nOTkICwM5uYSsbMWxY8dWrlx54cKFzqMYDFy9CkFBcPkyrF+/BsrKoKQEmJnHU2FDTU29XxiNMbHv\npwIS4OsAACAASURBVHUyRsOclZU1Ojq6vLy8pKQEh8OR/4pCTUtLO3bsGADIycnZ2dmNer8AwMDA\nkJ2dvX79+uzsbAYGBgCwtoYrV0BWFqytgZ0dvL3h7l1QVYXg4N/RsT2Ijo5+/Pgxfrvg3bt3kpKS\nYyGVRH/o6IClJeX9+/evXbtGTk7+8OHDrkm3vn0DKyswMgJ+fjLQ0AB3d9i3bzzl4XC4Gkvb+8yW\nD8cnb8iwp/zDZvAr7sXFxfr6+vLy8s+7lFyrq6vj4eHx9va2tLTU+VPNvGFjZ2cnLi4uKSnZo3Au\nDodiYv6cOhoh9O3bN1lZ2bS0NDc3N9KKO6Hw8EC9P/uCApSUhEJC0O+FrZ070SDr5Y4SFy9efM3K\nKsf4VEVFDTtAZuMuEHzFfUgMfsUdi8VaW1vLyMiYm5t3LU6kr69/4cIFLy8vLi6uHz8Guy8xJGJj\nY6WlpSUkJPAVl/DgcMjZGXFyIgEB5OU1UNppPCIiIvgVd35+ftKK+/iTlYWEhPqISUtJQeLi6PZt\nVFSEtm9HR46gjhev0LFj46ktMTFx/7p1zjP0eHg2ZWZmDuYUgq+4D5XBB6eGhoYqKSlpamp2LYMV\nEBCgoKDg7+8vLy//6k+1rodHQ0ODmpqajIyMiopK16DS3FykrIwEBZG9/Z8Tb1tZWdna2mZlZe3Y\nsYO04k4Qtm5FoaE9Gxsb0dGjSEkJvXuH5OXRmTOoo74ZcXENVP1ntGltbZWTk/s+g3X1amdnZ+fB\nnEJ0edz/iLq6OhMT0/Xr1wd/iq2tbWBgIAMDw8WLF1lZWUtLS319fRkZGWfOnJmamiotLf07rTIx\nERkZ6evru2DBgv3790+dOnV4F3n//n1ISAgHB4eKigopr/MwOHwYGBlBQwMWL4bERDh7FqZOBRYW\nmDEDgoPh5UuYORMgJQWsrMDLa3wkIYSEhITCcJQ7mELnsBjv3Llzw4YNfzyLqPK4/5HMzEwxMbGi\noqLBnxIZGXn27FlycnJ9fX01NbWOjg5fX9+qqiouLq7Y2NglS5YoKSmN2xBobYXJk/tdfutKWVmZ\ng4NDW1vb3r17ly5dOrzuiouLXV1dqaiodu3aRQpiGSo3bkBDA5w+/bslIwP09cHT83eeAEtLYF2K\n1G7ww5s3QEc3PsL09PSsaOhvvxeWdqT39/e/ePHiH08hqjzug4Genr6ioqLfPO69qK6uNjIyqqqq\nYmNju3btGiUlZUxMzIcPH9auXZuTk4PBYDQ0NOjG6w80eDAYzP/t3WdAk1fbB/ArCTMgyN5TQIao\nIA4UBQeKdaPiwtaJe9VttXVUfdo6qtZaZytW21pHW1GpIipq3QMRVJbsvXcg4/2AD68PRQzkDgnh\n//sE4dznvhQvc+XcZxw9evT58+dDhgxp9vqTmpqa48ePp6SkjBs3rnPnzsxGqPByc+mjj+jqVar7\nD7Kqivz9KSiIRo8mIhKJaO9eSkykPVobyM2N/P1bJrDQ0ND4K1c6n821vPnTxx/3b2CZzb9IuI87\nM4tTpSoiIiIpKenGjRu7du1aunQpEZmYmCxZsqSgoODvv/92dXVdvnz5s2fPZB0m8fn82bNne3t7\n+/n5JSUlEVHfvn337du3YsWKZlftN27c2Ldv3+jRox89erRv3z4mw20zvvmG9PRo40bq149276Zd\nu+j0adq5kzZsoO3bKSCAysspz9g48cmTAytXNnZgEHNYLJZ6dXVemarPIKX8/HwJdxxSGCtXrjx3\n7tzly5ePHj2anZ2trKw8ZcqUYcOGrVu3ztnZ+dGjR5s2bWqxYNTU3lu1nzp1qk+fPn369Dl79iwR\nGRsbb926dceOHc2u2quqqiZMmODp6Wlvby/dJU0KatEiun+fHj16+21aGn38Mf366//s7jV7Nv36\nG913cbk0fvzdu3dbJjBNTc2Kq490Rnjl5eXJ+ZrUFrNp06YZM2ZcvXrVzs7u2LFjRNS7d+/ly5d/\n/fXX6urqenp6I0eOrHfwi0zExsb6+vp6e3svXLhQKBQqKSnNmTNn//79kqwaX758ee3o7NKlSxMS\nEhiMti0wMKBt22jWrLff8njk708LFryt2omIxaIlS+jBA3rk2Tdx+fLg4OCW+YekoaGhExV9X6Wv\nvn5lywwttYLCPSMjw83NjcViWVtbV1RU1L0eEhLyzTffDB48eMWKFZcvX5ZhhLV++eWXjh073rx5\nc9euXWvWrGGkz/Dw8CVLlnh4eGzYsOHKlSuM9NnWKCvTvHkUHEwREfTzz2Rv//8/8vKiVato+nQa\nM2ZM1vDhfTMzx4wZ09jpYMzZMnz4r0k6wcFzHBwcWnirU/lUXV2tra2tra2tpKTk5ORU9wkqPDw8\nKCjIz89vy5Yt/7P/l4yUlpYePHgwIiLi5s2bO3fuZGSZTVxcnLu7+8CBA0eNGsXhcN79Xw7EwWLR\n3r20dCnt2UMnT9LUqbRjB5mZ/U8bY2N68eLNWTWDPjk569evf/z4cQsEtmbVqsLEnN+vbTp27Nii\nRYta4I7yLz09vfYBo7u7e90TucLCQg0NjcDAwICAAAcHh9o1ZrK1atWqQ4cO3bx508DA4I8//mCk\nz6ioqIULF/bq1Wvq1Kl33jlQFsTk60u6ujR6NC1cSGPG0KhRNGxY/TbOzrkz115pZ2OTe//+xo0b\nWyAqLy8v0zclf5dVjhgxYvPmzS1wR9nsdtkkgwYN+uijj2pqaiIjI99dEeLk5BQSEjJ69OiQkBB5\nWCmSn59fO+RmY2NTXFzMSJ/dunU7ffq0i4vL77//XrfRLDDI15cOHqzU1u7ee+NG8ve3t7dPTU1t\ngb11e/F4v9jMvXvXR5zJGG2BioqKgYHBhg0btLS0oqKinP57oq2zs/OhQ4cCAgJu374t4S7pjCgp\nKTEzM+NwOERkZGRUXl6uKvFZfTY2NpGRkW/evCkrK6uoqOByuUxE2rZYW9PRo/TiBaWn06ZN5OXV\nQBsO52KnHtu0016uHTv2+vXr4sxPk5BpXt593f63b+9BmteZPHnyJ598Mnz48ODg4B9++KH2RW1t\n7YyMjKysLBUVlejoaLN6n7pkoayszMLCgojs7e3z8vIY6dPS0jI0NNTd3f3ChQst+fxQkRw8SNnZ\nlJFBLBa5uTXQQF//moHBAoNPbn9aXDzg7NkWCInFYtnVcJYdXjxs+JIWuB21isJdX18/JCTk0qVL\nEydOHDhwYN3rX3755aZNmw4fPjxs2DB52PN47Nix/v7+L1++vHXr1vTp0xnpc9SoUYWFhdOmTfP0\n9Fy3bh0jfUKt2nmZurq606erzZvnkpCTY1pZmfrypWmLbDrBv3M/2Xg93s7fdfz48b/++quysjIk\nJKRuyqyXl1dCQsLIkSM7dOjQpIUxUmJmZlZZWbly5UqBQKCurq6rqyt5n5qamnv27Fm/fj2Xy/3x\nxx8l77Bt6tiR/n16V3l5eWFhoZmZGYvF8vHJ/vbbjImB/RKPHHH/4osWCCn/j1sZHfoizd81duxY\na2vryMjI48eP180uY7PZhw8fXrJkCZ/P3717tzx8dg0MDPT39+/Vq9f58+dDQkIY6XPv3r3bt28/\nePDg7Nmz5XNhnvxjscjYmIyN/+dFgUCQnp5ubGysoqIyYoT5sWM1RT28Kj6e6Oju3hIxZWQkVxr2\nH9BySxBbx+LU1iI3N/f27duOjo5144UgnxYvXpyTk1NZWdm3b98lS1b06FFubz/dPybGY9Ysu6VL\npX77qqqCXh995x/+7gmPH6Twi1NbC4FAcO3aNTabPWDAADaKMjl28eLF3bt3W1pa5uXlnT59uqam\npnPndB+TT9dSkcM//7RAAAndAp59snvs4iaMHyv84tRWJCoqKiEhoV+/fox8Pgcpyc3NnTBhgp2d\nXVxc3M6dO93d3UeNepqe/ufpzMO6z561l34qVRz/PXhb2tzXTTjSXsLFqQqYbDJkYGAwZswYWUcB\nH5CYmJifn//rr78SUb9+/RYvXtyzp0ZQ0Gl3/gN65+ROKXr4MFqjR58+LXErYByHwxk8eLCso4AP\n27lzZ0hICJfL3bFjR0hIyLhx49audSS65BDsRSIRSX8ZGT8pzWuC7Gd9QPO4urpiXFz+1S4gGTNm\nTHJy8qpVq3777bevvnLbutXNtn85vX5N0i/cs8/cUvX9RNp3eReGi6DNUVJSql1sXvu4icViTZxI\nv/xC1K0btciSNYqIuFLZ933nQQEAIzgcTm2OCwSC2iHh0aMpJITIyYmio6V9d8GruDfKDkZG0r4P\nQJtW94Zel+aOjpSYSPz+vnT1agsEIHzyrFNg1xa4UR2MuEObY2lpaWtrO2TIEB6PN2XKFGVl5X79\naO1aErI4bGNjSk+vvyEFQ54+fVpTU9O9e3f65+5TtXnYBBJAqtatW+fr62tkZMRms5cvX05EhoZU\nVEQ0eSBdu0bSOeM2IyMjNjbW3d096/jtCjc8VgOQrlmzZvn7+//2228ZGRlHjhypfbFHD4rS9nK7\n/eGTE5qnsrLy4cOHFhYWNnp6eZUa3XtwpHSjBilg4X7y5Mnak5NXrVqFTZGhQdu2batbnEpEbDb1\n6EH//ENeQ4bQ33/TjBmM33HBggVlZWWqqqq7d+8+nFli3RuTJiUSFxc3a9asyspKV1fXQ4cO1W7z\nAvCu/v37X716tW5xau2L5uaU4eJr+vMntIT5LSCuXLny5Zdf9urVa+XKlbuFHqazghi/RZsiEAhm\nzpwZExPD5XKPHTtma2sr64hA7mhra1+5cqVucWrti+7u9CiG66aiQgUFxPQSheLiYj8/vz59+jx/\n/nyua3+WYdcWXuukaFNlysvLjxw58vDhw4cPHx44cKCyslLWEYGcMjQ0fHfJ0YgRFBZGNHiwNB6u\nlZeXJyYmHj9+/NChQ1pEmeXqvXszfpO2Zc2aNcePH3/w4IGDg8PZFtnzC1ojDQ0Nc3Pzd09F8fCg\nBwl6VFZGTOzBX8/+/fv//PPPr7/+esOGDRQb4zzagfFbtCmnT5/u1KnTgwcPjh49ytTpKKB4OByO\npaVlXdVORN2706NHRAMGkBR2dPjrr79mzJhRu3Im8vQ9tS7/2s1KyhStcC8tLdXX1+dwOBwOR1dX\nt7y8XNYRQevQsyc9eEBkZUUpKYx3rqysXFxcXHu0U/GjRzcz2r94caCmpobxG7UdJSUlxsbGRFS7\nZ4isw4FW4+1KFk9Pun+f8c41NDRqzw579OgRu7Js7ZerkpOTGb9L25Gfn1+7mbqJiQlTp6NAW+Dg\nQK9fEw0aJI3CvS7Nk5OTdfMqQhPvh4aGMn6XRijaVBljY2M1NbUVK1aIRCJtbW19fX1ZRwQyIBKJ\nFi9e/OrVK4FAsGXLlj5ibODSrh2VlZFIRKwOHSg5mRg9g0lFRWXevHm9e/cuKiqaRJRv0E9Lq3jX\nrl2rV69m8C5tyqxZsyZOnNijR4/Lly+fOXNG1uGAbJw7d27v3r1sNnvQoEFinnTh5kbffEMU5En3\n71O/fszGs2nTpqCgoJqamjfRBaPbG02aNGnmzJlhYWHM3qXtGDt2bEBAQEJCwr1794KCMO+ojUpN\nTQ0KChKJRGpqasHBwVpaWh+8hM0mJSXideysKoVl6KNGjbpw4YK3t/erV69+VXYdtGv+8q0rbWxs\nOv77IAnpULTCnYhOnDjx6NEjIsJRo21WeHi4urr61atXi4uLx4wZEx4eLs5VHTvSq1fk5OZGT54w\nW7gT0dSpU6dOnbp+/fqPkzJ+iO/02Xy3qVOnMnuLNmXChAmenp5v3rxZsmSJBtb5tkkikejrr7++\nffu2kpLS+PHjExMTxZkDraVFxcVE7u7066+Mh2Rvb3/9+vXIyMgfl52nqjwvLy9lZWUejyf58bpt\nk4mJyeXLlx8/fjx16tTaoXdog7Zu3bp58+bu3bufPn36wIEDYg54ubrSi5ecbiwW1dSQsjKD8XA4\nnNqT8vr376/7pNqlr+v48eMfPnzYYoW7ok2VqeXh4SGlqv327ds7d+68d++eNDoHppSXlxsaGhKR\nhoZG7UZR4ujZk+7dI3Jzo6dPpRSYj49PytV7NbYG27ZtGzBggJTu0kZYWlp6e3tLo2rPyMjYs2fP\nqVOn+Hw+450DU4RCobq6eu0GcHp6euJPjDQ3p3SWOUntdDAHBwfe8+wSE60LFy6IRCJU7ZLQ1NT0\n9vaWRtVeU1Nz4sSJvXv3ZmdnM945MKisrMzIyIiI9PX1y8rKxLzq7aQ4Z2d69UpKgVmbedSIap49\ne3by5MneLbhwTTELdyk5f/78999/36VLlx07drTwlCZoEl9f32vXri1btszf33/mzJliXtWrF92/\nT+TuTs+eSSmwQYMGmXLUo3IfdOjQYeHChVK6C0giPz9//Pjxtra2ubm5c+fOlXU48F4cDmfgwIGT\nJ0+eP39+SUmJi4uLmBe6u9OTJ0SamiR2EdAk6urqPbQNXtQk3b9/Pzg4WBq3AMnNmDGjtLTUysrK\n39+/pKRE1uHAey1evHjatGmrV6/euHGj+G/obwv32kfo0jGp1yf52npHjx798ssvW3LLIwWcKiM9\nf/3119atW21sbExNTb/77js/Pz9ZRwQNU1dXv3jxYkxMjIGBgZHYJ6A4O9PLl0RaWlRUJK3IhEIW\nS3P37mnS2UIaGPDgwYNRo0aNGDGCiHx8fGQdDjRm/fr1KSkpFRUVjo6O4l/l7k63btGILl0oMpKk\nc4KxWdmbwfu2Mz7jDhiUlpY2f/58IoqMjHz06BEegcqtHj16/PHHH2/evNm4caO6urqYV3XsSLGx\nRHPcKDiYPpHKyaaFdxPd/Lz37Vspjc4bgRH3JnBxcbl8+TIRXbhwQfzRHZAJNpvdqVMn8at2ImKz\nqbq6ZNu2vblsNmVlSSWslJQ3Qqum1BjQ0hwcHG7fvl1ZWRkdHc3lcmUdDnyApaVlk6p2IrKyyj93\n7s2N4mL+w4fSCCkri8xFqYQ52fJNRUUlLi6uvLz89u3b9vb2sg4HGqOlpdWlSxfxq3YiEokEeXnZ\nu69GVEntQHTe89fG3i29FyShcG+SJUuW5OTkDB06lM/n4xm64rlx40ZW1kUij7D8/Ou7d0vjFqJX\nr5PVOirhQZcc69ChQ1BQUEBAwM6dOw8ePCjrcIBhFRUVgYHDqqs1ErS1I/bskcYtnjwWaWkIqIUP\nZYEmOnjw4Jdffjlp0qTly5dj5aviWbJkCZebUMNyfRkZmZWRIY1b6Oa+1uohg3E4VBBNoKysvHHj\nRllHAdISEhKycOFcPt/Ob926v7dvp6+YPy254O5rnrUMPqBDkwwfPnz48OGyjgKkIioqysfHJyHB\ncNjibTkHDwoEAsaP3X19M6ubpQmzfQLjrK2tjx8/LusoQFqio6MXLepdUUGqLi7Pzp71W7SI2f7z\n8shS8IZkcZovhgSgTXjy5Mknn3zy6aefFhQUvK+Nk5NTbu5f9+9TaE5OZ7H3ommSkoev23mgcAeQ\niqKiopUrV3788cf333+4ko2NzcOHDx0deX9fya4h4khh46DCe6/bdcd8OABpOXLkyOTJk3/44QeR\nSPS+Ntra2mpqrx4/FvxTWelSXc14DJGR1J5bTbJ4gI7CHRRfbm7u8uXLV6xYMWTIkEbWpE+bNo3F\nyr12Lfp2bKyjjo40IhHFxpn5YDIlgFTMmTPH29t79erVn332WcZ7Ho4bGhouWbLkwoXt33xzyWrY\nMHrxgvEwtDJfc93w+RxAKk6ePBkdHf3ll18mJSUdO3bsfc2+/fbbX37Z+PvvUabDh1tI4XTt6Ih8\nFRM9xrsVBwp3UHwvXrzo37+/q6vrkCFDit6/YwyHw9m+ffvAgS5ffLGfrasrjb1leMVVnXuoMd4t\nABBRTk7O8OHDXVxchgwZ8vT9pzGMHDnyl1829u49Q9/Xl/FDG0pKyE7wmlrqKBaAtub27dtBQUG2\ntrbz5s27devW+5pZW1ufPfuri0vXj9aupchIxsMouBer4S6bNEfhDoqvU6dOYWFhUVFRoaGhHzwt\n2dWVXrwg6tqV+d3cy8pKhJoGBgz3CgC19PX1L1y4EB0dfenSJTc3t0Za2ttTfDyRuzvjhXtCAtmL\nYlG4A0iJl5fXgQMHEhMTv/vuu759+zbe2NiYsss0qLSU8TDUkl9rdkPhDiAdBgYG+/fvP3r06P37\n93/66afGG7u6UlQUUdeujH9Gr4iMy2qHeTIA0nLkyJHIyMhDhw7t3LnT1NS0kZZKSlRTQ9SxI+On\nKiYmUnt2CbVrx2y3AFBrypQpvXr12rlzp6ur64wZMxpv7OxMMTG1pyWnMxuGeUUsq6MDs32KCbvK\nQJvg6ur67bffitOyUyf6+2+ioZ2I6cNx02/Eiexlk+cAbYG2tvb69evFbGxsTFn5ysZML0NPiud7\nayoz2ycAvGvy5MmTJ08Wp6WTE8XEUP9OnSgmhszMmAqgqIhsBPHkgMIdQA7Y2VF8PFGHDpSYyEiH\nly5d+ueffzw9PY0ikzRwYiqAfKg9KdnY1JQyMqjR4XlxxMfHnzx5UldXN+/ZUCVbS0YiBAAJOTnR\n4cNEA5woJoZ8fSXsraKi4tixY3l5eW5uM13YuWRoyEiQTYWpMgD/Q0mJBAISsjjExD5xv//++9mz\nZ8eMGfPHH3/kPnqm181a8j4BQHK1Q3GMzJbJy8ubPn36gAEDdHV1Y69GaLpYMRIhAEioY0d6/ZrI\n0ZFev5a8t5kzZ7Zv337gwIFr1hxWUZHKntHiQOEOUJ+NDSUlEenrk8R7SIWFha1evbpbt26rV69W\ny0416413dAC54OREL18SOTpKXrg/ffrUz8+vb9++U6ZMMazIUOqANAeQC2pqVFVV9yRdUpmZmYGB\ngX379u1o7lmtJJS8w+ZB4Q5QX6dO9OIFM+/o3bp1O3nyZGFh4c8//8wVCY1sNRiJEAAk1LEjxcYy\nMxTn7OwcHh6enp5+5849a1YmWVszESAAMEBPj/JLVYjHk7yrdu3a/fPPP+np6cVRSVwnO8k7bB4U\n7gD1vd1YpmNHevlSwq5mzZplYGCwYMECPT09FRUVRsIDAMmpqVFlJZGDA8XGStiVmZnZpk2b1q1b\nd+zY1R5G5WSFEXcAeVG7moXat6fCQgm7OnLkyJkzZ9auXdu1vb5hdydGwmsGFO4A9b0t3JkYimOz\n2QsXLjx16tTkIZN5mrI5ZQ0AGqSjQ4VV6lRZKXlXXl5ex48fnzJlgxU7gywsJO8QABjxdjULE2/o\nRkZGu3btCg4OthDmK9lZMxFdc6BwB6jPzIwyMpiZKlMn/U5SjSnG4QDkyNtp7lwulZUx0mFiImmo\n1JAytoMEkBdvR9yZO7ShpoZMqpNl+GANhTtAA5SVqVq1HYPHrRU+S+bYonAHkCNvC/e3G08wIClR\nqMbFuyqAHHF0/O8ydIbSPDWVbNlJKNwB5Mvb0XZVVaqqYqTDqtfJmp2sGekKABjx/4U7Q0NxhdEZ\nKtaSbgkPAAzS0KDyciYfoScmkhFlk7ExI701Awp3gAa8nebu4EBxccz0mJxs2B0j7gBy5P93hGRo\nKI6dmqzuiDQHkC9aWlTM0aX8fEZ6S0wkdTURsViM9NYMKNwB6nv9+vW5c5s3bz4Tz+FIvrFMLc28\nJIPu1ox0BQCSq6qq+uqrz+7ejf4+PJypoTjjKlk+QAeAf/v9999fvjw/bdr2apGIqqsl7zA1rkpV\nS1XyfpoNhTtAfTNnzty0aay19fD9165VPHnCSJ/cmmKOrjYjXQGA5LZv325sbNytm+Oroprs588l\n77CoiKwoGZu4A8iP58+fBwcHL1/uZ2c36mZ6OiUkSN5nSXSqqr2l5P00Gwp3gP9RU1PD5XI9PV14\nPDV9L6+qyEjJ+ywqIiUlybsBAMZER0dPnjzZxYXTvXtgeUUFCSQ9wPzNG+qgJMu9JgCgnpcvXw4b\nNszdXZ3Fco5jsxl5tqacIeMZcSjcAf6HsrKyurr6Tz/9VFaWG/Isrj0T+8QlRRaz2mO4HUCODB06\ndO3atcrK8bt3/811caGkJAk7TEwkU34KCncA+eHl5fXzzz/n50eEhCSwnZ0ZKdxlPiMOhTtAfSdO\nnCgoKFBVTfz8i1NsFotEIgk7zHqQIjSX5ZM1AKhnxowZfn5+OTk3nJz8jfv1k3x9amIiaSpVkaos\nJ78CwLvMzMwOHjz44EEYn68x8+uvJT8mubCQrFgy/nzO5PN7gUAgEomUMCcAWjktLa1PP/1UW5vy\n8ojMzSk9nczNJemw9PkbFQdrhqKTMaQ5KAYWi+Xv79+3L82d+9+t3D/6SJIOU1NEauoy22iCWUhz\nUBguLi6bN2++d4/4FobKEj9YS0oiG1aSbJeyMDPivnnz5tDQ0B49egwaNOjo0aOM9AkgWy4uFB1N\nZGdH8fESdlUTn9y+S6t/gI40B8VjYEC5uUR2dpKvWiuNz1Y2N2IkKhlCmoNCcnKil6/Zki9lSUkh\nQ34GmcryuAZmCvfY2NiTJ0/evXv3xo0bV65cYaRPANlydqaYGKIOHSQv3JUzkhVgL0ikOSgkVVXi\nWTBQuHNzk1XsW/3nc6Q5KKS3hzZoa1NxsST9pKWRuoqAOBymAmsGZgr3uLg4oVBYXFxcWFgokPgD\nDYA80NKikhJmhuIMK5M5tq3+HR1pDgrJ3p7iM7hUXi5hP0aVirCJO9IcFJKzM718ycAj9KzUGhWu\njKeQMVO479mzp2/fvvn5+deuXVu9ejUjfQLIHJdLFaaS5jmPR+0F+aSvz1RUsoI0B4Xk5EQxMUQq\nKlRT0+xO+HwyrVGETdyR5qCQmHqEXhGXrmQt0Zo3yTFTuPfq1Wvu3LmOjo7jxo17+vQpI30CyJyT\nE70sMKKcHEk6SUsjNVVJ96WRB0hzUEhvh+IsLSk5udmdZGWRNTuFLFv95lFIc1BI+vr/Xc2SmChJ\nP6yUZPWOMk5zJreDFIlEROTo6MhgnwAy9HZ9KpEkO0KmxVZwNNWZCknmkOagYN4W7vb2FBfX+U2K\ncgAAIABJREFU7E7S08lcoDinLyHNQfGoqFC1lURpTkR6ZclsGxmnOTMzdU6ePLl//351dfWqqqoF\nCxbU+2lJScm8efNq/vsU8v79+z4+PozcF0CqXFzo3DkiY2PKziZj4+Z1kv8s1UQhNnFvPM2JaNu2\nbc+ePav9uqysrKKiomUDBGgOExPKyiLyl2hSXFoambPKSFOTwcBk4oNpfv369QMHDtR9izSH1sLB\ngeKqrVwkeLBGREa8FLLsxVRIzcNM4R4aGnrnzh0WiyUSiWbPnj158uR3f6qlpbV161ahUFj77bJl\ny7S1cYoktAIuLrR1K5GrHSUkNLtwL3+ZotxBEQr3xtOciGbPnl1aWlr7dXJycmBgYIvHCNAcbDYJ\nbe3Yd+40u4f0dAU5eemDad6zZ0+rdx4sXL16tWUDBGgmJyeKfq3kwuc3u4fCQrIQpZDVBAajagZm\nCncej3fr1i0HB4e4uLjKysp/N7B+Z8kOl8tls3FiK7QCmppUUvLf5Sx9+jSvE35CcrvxilC4fzDN\nDQwMDAwMar8WCAQsloIcRgMKz8aGkpTtbSUYcc9PLOboKsKA1AfTnMvl2tra1n2LNIfWwtmZ7twh\n0tSk8nLS0GhGD+npZCZMJQsLxmNrEmYK6J07d4aGhq5atery5cvbt29npE8AecDlUqWZRDtCKmel\ntu+sCIU70hwUlaMjxaRoUllZs3uoSVCQB2tIc1BUTk706hVRhw7NfkNPTydNpSpSU2M2sKZiZsTd\nwsJi27ZtiYmJ734QB1AAnTpRTLVdt/gfmt2DQUWyUgdFWLKGNAdF1akTPXlCw9lsEjTzaBV2WgrX\nS8bjcIxAmoOiMjOjzEyiXh0oPp46d25GD6mp1FUOZsQxOWXl0KFDDPYGIA9cXelxhgllZjbvcoGA\nDKrTycyM2ahkCGkOiqdLF3r+nMjKilJSmteDfkWKzPeaYBDSHBSSqipVWzZ/GXphXB7bUPZHsjBZ\nuHft2pXB3gDkgasrRdwqevH8uZ+f36lTp5p6eWYmqSvzSUnGB60xCGkOisfEhDIzRX9FR68dP37Z\nsmU8Hq+pPRhWKcIm7nWQ5qCQnJ3pWERGyJ4948ePf/XqVVMv58WlKNnKPs2ZLNwnTpzIYG8A8sDJ\niUJDk2x79Ag5fvzs2bOxsbFNujwpUaiqplCLt5DmoJCys5PVXT22z5zZtWvXXbt2Nenat3tNKFDh\njjQHhWRiknvsetkwZ+fdu3cvWrSoqZeLklM0nWWf5tjdBaAxqqrE5ytzu3RRSkry8PB48+ZNky7P\neZ4lNDKRUmwAwBQ1tXiWw1BKSOjTp09CE9eupaeTkSir2TvGAkDL0NZOVuJ6svh8c3PzusOFxKdT\nkiwPa9BRuAN8gIFB9e9PEm//9NPFixc9PT3FvOrEiRO9e/cO/nJvtmpz1roBQEvy8zP9/MSrjIiI\nTz/9NCAgQMyrYmNjBw0aNGnSyvLSXBE2RgSQb2PHOr58yU7Pz//Pxo3iHwzM5/NnzJjh7e3NSnuS\nI+stZQiFO0AjhEJhSkrK5MmuPPP+mtnZFy5c0NLSEufCkpKSY8eO3bx5c4hz11tJMXwJTnwAAGnL\nzc0dOtTUtutMdknJtm3bBg8eLOaFa9asOXDgwKeLt7OVRaGhoVINEgAkUVFRUVlZ6OTkXm5g4Gls\n/O4BwI379ddfHR0dL1++6axZsvXECakGKQ7FWTMHwKzCwsJRo0ZZWVndv288oc/YQI1/SEdHzGsL\nCgqsrKyUlZVVMlJ5xmrl5eU4LRhAPq1cuTI6OprHEyUnf29saWrs7Cz+tcXFxba2tpcOpAlMTDIy\nMqQXJABI4urVq+vXr7ezs0tMnK0309fB1JTEfkSWmZnp4uKSnk4mykXxxdVSjVMcKNwBGvbzzz/P\nnj176tSp9+7lTAh4scUuXfxrraysCgoK1q9f3yE9lWevg6odQD5lZWXFxsZeunSJiHR0ovg9jJXS\n0sRfZjpp0qSxY8eaxI9Wy03zHzlSmpECQPN9/fXXV65c0dbWHjny3l8v+dN148S/NiAgYNy4cT17\nVk0typ4580vpBSkmTJUBaJiSkpJIJCIiCwtBeYUxCYXiX8tisc6dO+fl1deGnfulHDxZA4AGcTic\n2jQnIlXVrGIDO4prwjv6rFmzNm/ebFBRPmHlXAMDA+nECACS4vz3YDUTk9yYapcmbeVuZWV18eJF\ndZapgbmRv7+/dAJsAoy4AzRsypQpw4cP/+uvv1JSUqysrol0dFkFBaSrK+blSkpK7u5D8tT+w27f\nXqpxAkCzGRgYuLi4+Pr68vl8d/cNySpOevHxNHCg+D107tz5AYW07+whvSABQEKrV68ePHiwmZlZ\nbq66rdlhSmzaaeiGhoZ2qsUqdvZSCq9JULgDNExLS+vGjRtpaWmGhoaLFqkViux04+OpRw/xe0hO\nJl05OB4ZABqxffv23NxcNpv9+LHe0/OP3ON+bWoPRrwUspT9OBwAvE///v2vX7+en59vbm7evz+L\nqMmHrNUkpKh0sJBGbE2FqTIA78Vmsy0tLdXU1Fxd6Q2nac/QiSj9VSlHW1NKsQEAUwwMDPT09Fxd\n6U52k49D5/HIuFqhTl8CUEhcLtfCwoLFYikpkUhVjaqqmnZ9SoqGs5V0QmsaFO4AH+biQi949k0t\n3Iuep5CVXOQ5AHyQiQnF57WnoqImXZWeTlrKlcTlSikqAGCWoyMVtLelxMQmXaWZn6zhJBefz1G4\nA3yYuztFZNo3dSiu/GUKt6NcPFkDAHFoaRFfwCKBQPxLUlNJFTPiAFoPd3dKZDf5EbohL1VOHqyh\ncAf4MB0dSqg0pfQm7AhJRIKkVJ0ucpHnACCOrl2pgGvepEzPflXI0sECdIBWw92dnpV2oIQE8S+p\nqCBjfhqZmUkvKvGhcAcQi54Bu6aqCeNwRGRYEq/s2EFK8QAA49zdKYHdtElxFVEJIlukOUCr4eJC\nd/MdKDZW/EvS0khTmScnD9dQuAOIxc2NCjn6lJ8vZnuBgEyrEqkD3tEBWo1u3ehZedMKd0FsgpoL\n0hyg1VBWpjQVW1FCE+a4pyVWK3OVpRdSk6BwBxCLmxu94TRhx4m0NDLgFJCenlSjAgAGWVlRZHnT\nNpZRSU3QdkfhDtCa2DqpVhY1YUfIwsiUGjNrqYXTNCjcAcTi7k7PK5qwnCUxkdTVRFINCQAYl6dj\nL3jVhBF3veJE9U4o3AFaEzc3KuapUWWlmO0rXyRwHOQlzVG4A4jFxIRe8N5uLPP06dM///yzpKSk\nkfYZkbksQxyBDtDK2HdvX55WSESZmZnnz5+P+9BndcMq7PoK0Mq4u9MbdgdKTKypqbl8+fKNGzdE\nosYG2liJCVxXFO4ArU2xoX1NTNy+ffu2bdsWFRXl6+tb9P4tn8si5egDOgCIyd2dSsvZsS9fjho1\n6vXr1/Pmzbt06dL7GpeXkyq7hpRwBjlAa9K5M0VV2oliY0eOHBkREXH27NmgoKBG2qtnJOh1t22x\n8BqH/24AxGXRy6ziYvr5vPNhYWFsNltfXz80NHTixIkNNua/TtAcIy95DgBicnenZJHlw8OH//Of\n/wwYMGD27NlBQUEfffRRg43TE6o4XLnYaAIAxKeqSsnKdjn/3Laystq+fTsRDRkyhMfjqb5n3xiD\n0kQVJ3kZicOIO4C4urqxykqEKioq2dnZRBQXF6evr/++xtysRCxZA2h1bG3ptcDOhs+Pj48novj4\neL33LzHPf5xUZWLTgtEBADPYHe0pLjs5OVkoFPJ4vOLiYmXl9+4b005QRO3l5bgGjLgDiMvdnbL5\ners++3TKlCl8Pr9Xr14DBw58X2OTykSWbWBLhgcAkmOxKKddh4k2ukG3bp06dUpTU/PQoUPva1z2\nPFHFGoU7QOtj5mUj+jHTf9H4vn37sliszz//nM1ueCy7oEC+ZsPJUywA8s3amu6Qc6BIFB4e3njL\nkhIy4cvL8cgA0CQqbi4ld4+eOH3igy0Fr+NVe9m1QEgAwKyuvdSqdlXOnj179uzZjbfMfJpVrWvc\nMlGJA1NlAMTFYlGatkvN0xcfbJmcTBqqfOJwWiAqAGCW6QDHmqhX4rRUTk3UcsOMOIDWp3NnyqzR\np9zcD7YsfpJQbSFHaY7CHaAJlN065UdEf7BZcky5kha3BeIBAMb18lErz68Sp6VmTqKhpxy9owOA\nmDQ0KF7VRfgi5oMtK18kcOzlaKsJFO4ATeAwoiPv+esPNst/9EZkI0d5DgDis7KiLKGhOENxqtWl\navqaLRASADBO6OSSfuXDI3GUmKjRWY4+n6NwB2gCTx/VioIPD8VVxSSquchRngNAk+Qbu+SEf2hS\nnFAoIlaLhAMAzDMa2KnozocLd9W0BN3ucvSGjsIdoAn09SmHbSzKym68GSdJvvIcAJpEo4dL2t8f\neEcvfZ1RrGnWMvEAAOM6j+/Iiv3wI3SN4gxDNznKdBTuAE1TaumSGvqBd3T94gRVZxTuAK2V1Ucu\nFQ8/kOZ59xMqTZHmAK2VqbWKsOLDj9BZIiGbI0fP1lC4AzSNZk+XjCuNPUOvribTqkSyxRx3gNbK\nfnhHjfTYxtuURSYIrZHmAK1YZXuT1IdZjTQQFJVWKcnXOhYU7gBNYzuyU9XjxobiIiNJT72C1NVb\nLCQAYBZHTVmFqouLG2vDf40HawCtG9vVJfZ8Y2/o+Q8Ti/Xk6/M5CneAprEcYKeVE99Igyf3qjXa\nv/fkZABoFVimJs8uZzbSQDkprp0bTl8CaMX0+zkX3G5sR8iih3HVlvKV5jg5FUAsAoFgzpw5KSkp\nAoFgj6g8K1NkbNLwpLfssCjVbp1aODwAYMTJkycPHz7MYrFWaBgXXHpBE03e11I5P8u4i1FLxgYA\njIiPj1+wYAERORF7QKx5Iy15dx6J3Ee2VFxiwYg7gFguXLhgZWV15cqVX3/9NVUkeHox430t1V8+\naT/AvSVjAwBG1NTU7N+/Pzw8/Pr16094b0rvRr63aUFBnkDH0rIFgwMAhnzxxRd79uz5+++/u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} ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 8. IM1 (Curve resampling)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "cumchord = function(X){\n", " # cumulative chord distance\n", " return(cumsum(sqrt(apply((X-rbind(X[1,],X[-(nrow(X)),]))^2,1,sum))))\n", "}\n", "\n", "resample = function(X, method, eps=1e-8){\n", " x = X[,1]\n", " y = X[,2]\n", " \n", " i = 0\n", " while(TRUE){\n", " i = i + 1\n", " \n", " # cumulative chordal distance\n", " CH <- cumchord(cbind(y,x))\n", " \n", " # if distance is small enough, stop\n", " dCH = diff(CH)\n", " error = sum(abs(dCH - mean(dCH)))\n", " if(error < eps) break\n", " \n", " # new splines\n", " if(method == 'spline'){\n", " x = spline(CH, x, method=\"natural\", n=50)$y\n", " y = spline(CH, y, method=\"natural\", n=50)$y\n", " } else if(method == 'approx'){\n", " x = spline(CH, x, n=50)$y\n", " y = spline(CH, y, n=50)$y\n", " }\n", " }\n", " cat(i, 'iterations\\n')\n", " return(cbind(x,y))\n", "}\n", " \n", "interpolation = function(X, n=50){\n", " CH <- cumchord(cbind(X[,2],X[,1]))\n", " x = spline(CH, X[,1], n=n)$y\n", " y = spline(CH, X[,2], n=n)$y\n", " return(cbind(x,y))\n", "}\n", "\n", "# load data from file\n", "X = read.table(\"symphysis.txt\",header=TRUE)\n", "\n", "# draw resampled curve\n", "par(mfrow=c(1,3))\n", "plot(interpolation(X), type='l', asp=1, axes=FALSE, xlab='', ylab='', sub='interpolation')\n", "points(X[,1], X[,2])\n", "plot(resample(X, method='spline'), type='o', asp=1, axes=FALSE, xlab='', ylab='', sub='spline', col='blue')\n", "plot(resample(X, method='approx'), type='o', asp=1, axes=FALSE, xlab='', ylab='', sub='approx', col='red')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "7 iterations\n", "7 iterations\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ComHDhrm5uTzpyojCwsI6d+786quvzpgxQ7qFiu/+fURGYsgQrFwJV1fpGq3IykLPnhg6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\nIiKS2P8AKE2xomUDgAgAAAAASUVORK5CYII=\n" } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 9. IM3" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "# phi distance function\n", "phi = function(x){\n", " d = sqrt(sum(x^2))\n", " if(d == 0){\n", " return(0)\n", " }else{\n", " return(d^2 * log(d))\n", " }\n", "}\n", "\n", "S_matrix3 = function(X,Y){\n", " # return distance matrix between rows of X a Y\n", " m = dim(X)[1]\n", " n = dim(Y)[1]\n", " S = matrix(, nrow = m, ncol = n)\n", " for(i in 1:m){\n", " for(j in 1:n){\n", " S[i,j] = phi(X[i,] - Y[j,])\n", " }\n", " }\n", " return(S)\n", "}\n", "\n", "S = S_matrix3(X,X)\n", "save_3d(S, seq(0,2000,length=dim(S)[1]), 'basal3d.png')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Radial basis function of IM3" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image(filename='basal3d.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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jpW76Qg5ac2y15lhrz7EzFLQ1nm5tNt3eYpKT1biRnrk/8YmWEPZ9ROCkfzh2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\ncq4ez7xyOP3SgfSL+zPO7808t3v9mV3Zp3fkntyed7wv61h3+tH2tYd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FkaqtxmSgzWKq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\nEgK5AwCAhEDuAAAgIf8PNjWT2685LCsAAAAASUVORK5CYII=\n", "prompt_number": 29, "text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "S = S_matrix3(X,X)\n", "x = seq(0,2000,length=dim(S)[1])\n", "image(x, x, S, asp=1, col=terrain.colors(30), axes=FALSE, xlab='', ylab='')\n", "contour(x,x,S,add=TRUE)\n", "abline(a=0,b=1, col='red', lw=2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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En8rAi+XG8PV2CpdRtY3RT6ALBPWVfhXq3A2cjPWg38xQ9vmu8mwp2xopyaF4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To3+W5vlw+N/m1fjsliZ5navZNbSobZYGww4hDThYxT9i/n5UtVmYTp6fwwSGnfEDa9y6/OPi6B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\n" } ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 10. IM3 - TPS net" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000\n", "net = function(X, kx=20, margin=0.2){\n", " x1 = min(X[,1])\n", " x2 = max(X[,1])\n", " y1 = min(X[,2])\n", " y2 = max(X[,2])\n", " \n", " # add 1/5 margin to all directions\n", " x_range = x2 - x1\n", " y_range = y2 - y1\n", " x1 = x1 - margin * x_range\n", " x2 = x2 + margin * x_range\n", " y1 = y1 - margin * y_range\n", " y2 = y2 + margin * y_range\n", " \n", " x_grid = seq(x1,x2,length=kx)\n", " \n", " xmin = min(x_grid)\n", " xmax = max(x_grid)\n", " hy = (xmax - xmin) / (kx - 1)\n", " \n", " y_grid = seq(y1,y2,by=hy)\n", " ky = length(y_grid)\n", " \n", " Xcp <- as.matrix(expand.grid(x_grid,y_grid))\n", " return(Xcp)\n", "}\n", "\n", "draw_net = function(X, Xcp, kx=20, net_type='lines', type='b', ...){\n", " # show the shape\n", " X = cbind(rbind(X, X[1,]))\n", " plot(X, asp=1, type=type, xlim=range(Xcp[,1]), ylim=range(Xcp[,2]), axes=FALSE, xlab='', ylab='', pch=19, ...)\n", " \n", " # show net\n", " if(net_type == 'lines'){\n", " ky = dim(Xcp)[1] / kx\n", " for(i in 1:ky){\n", " lines(Xcp[1:kx + (i-1)*kx,], lwd=0.3)\n", " }\n", " for(i in 1:kx){\n", " lines(Xcp[(1:ky)*kx-i+1,], lwd=0.3)\n", " }\n", " } else if(net_type == 'points'){\n", " points(Xcp, pch=19, cex=0.2)\n", " }\n", "}\n", "\n", "# shapes\n", "X1 = rbind(c(-0.5,-0.5),c(-0.5,0.5),c(0.5,0.5),c(0.5,-0.5))\n", "X2 = rbind(c(-0.5,-0.65),c(-0.5,0.65),c(0.5,0.65),c(0.5,-0.65))\n", "\n", "# TPS net\n", "par(mfrow=c(1,4))\n", "draw_net(X1, net(X1, kx=20), kx=20, net_type='points')\n", "draw_net(X2, net(X2, kx=20), kx=20, net_type='points')\n", "draw_net(X1, net(X1, kx=20), kx=20, net_type='lines')\n", "draw_net(X2, net(X2, kx=20), kx=20, net_type='lines')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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VmVv7/6R496rJkKHBb4rxeUeJG+QYHAfTG1qc00M+qA4b2YKo6rRQ5t4ZJMZPSMkrf2y1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\nHsa7bs/08OuiB1Y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} ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "shear = function(X, ax=0, ay=0){\n", " T = matrix(c(\n", " 1, tan(ay),\n", " tan(ax), 1),\n", " byrow=TRUE, nrow=2)\n", " return(X %*% T)\n", "}\n", "\n", "X = rbind(c(-0.5,-0.5), c(-0.5,0.5), c(0.5,0.5), c(0.5, -0.5))\n", "XN = net(X)\n", "par(mfrow=c(1,2))\n", "draw_net(shear(X, ax=0.5), shear(XN, ax=0.5))\n", "draw_net(shear(X, ay=0.5), shear(XN, ay=0.5))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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gG9ANyZja7UHWDpBFccqtSFUv6lopgJR/Aq/BAEh3vVrg59RDBze9+To+Vm3MwbWpeTpL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\nDgJSK4IFOfL43fqXHygVFGFirFRQhLSShCyOb++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pgAxYXFfno7vRVmITARJqKcfNgetq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\n" } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000\n", "extrapolation = function(X,Y,l){\n", " return(Y + l * (Y - X))\n", "}\n", "\n", "IM3_Xp = function(X,Y){\n", " k = dim(X)[1]\n", " S = S_matrix3(X,X)\n", " Xp = rbind(cbind(S, rep(1,k), X),\n", " c(rep(1,k), rep(0,3)),\n", " cbind(t(X), matrix(0,2,3)))\n", " return(Xp)\n", "}\n", "\n", "IM3 = function(X,Y,Xcp){\n", " k = dim(X)[1]\n", "\n", " if(is.vector(Y)){\n", " # IM2 model\n", " Yp = c(Y,rep(0,3))\n", " } else {\n", " # IM3 model\n", " Yp = rbind(Y,matrix(0,3,2))\n", " }\n", " \n", " Xp = IM3_Xp(X,Y)\n", " \n", " # linear model a its coefficients\n", " model = lm(Yp ~ Xp - 1)\n", " beta = coef(model)\n", " \n", " # new transformed matrix Xcp\n", " Scp = S_matrix3(Xcp,X)\n", " \n", " Xpcp = rbind(cbind(Scp, rep(1,k), Xcp),\n", " c(rep(1,k), rep(0,3)),\n", " cbind(t(X), matrix(0,2,3)))\n", " \n", " Ypcp = Xpcp %*% beta\n", " \n", " return(Ypcp[1:dim(Xcp)[1],])\n", "}\n", "\n", "plot_extrapolation = function(X,Y,l, only_net=FALSE, kx=20, ...){\n", " Z = extrapolation(X,Y,l)\n", " \n", " # shapes\n", " if(!only_net){\n", " cplot(seal(X), type='b', lty=2, sub=paste('l =', l))\n", " lines(seal(Z), type='b')\n", "\n", " # arrows\n", " for(i in 1:dim(Z)[1]){\n", " arrows(X[i,1], X[i,2], Z[i,1], Z[i,2], code=2, length=0.1, col='blue')\n", " }\n", " }\n", " \n", " # net\n", " Zcp = IM3(X, Z, net(X, kx=kx))\n", " draw_net(Z, Zcp, sub=paste('l =', l), kx=kx, ...)\n", "}\n", "\n", "\n", "X1 = rbind(c(0,-0.5), c(-0.5,0), c(0,0.5), c(0.5,0))\n", "X2 = rbind(c(0,-0.51), c(-0.51,0), c(0,0.4), c(0.51,0))\n", "\n", "par(mfrow=c(1,2))\n", "plot_extrapolation(X1, X2, 0)\n", "plot_extrapolation(X1, X2, 1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KaKS+/fa/t2zeTA0dSrVp08CBqfT0dJvNNnfu3IYOBAAAAM0YgjsEt7NnzyYkJMTFxXll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ZN2/e5s2b77rrLq5jad8bb7yh0+lSUlK4DgQA+Mfb23vw4MFtSwsYhikvL//+++/tkiqj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KR2AAYTn89PS0tzHW9tba2oqHDqJM1msxUKxW0bovu+AMvugZTaaZrWaDRardZpXCQSyeXy2x44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\nLh0AAAAASUVORK5CYII=\n" } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "par(mfrow=c(1,3))\n", "plot_extrapolation(X1, X2, 1, only_net=TRUE)\n", "plot_extrapolation(X1, X2, 4, only_net=TRUE)\n", "plot_extrapolation(X1, X2, 8, only_net=TRUE)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RLDOkDGMQgCOwbSUgAIPKbQ8hyS+NSrteCLF22GUD1jD6O95Tz3Mk/Wtm9HzVB/RvAvsk\nyB2rze1yebjw4j7MvNhp4STvs2cqbVC7/trXhwodhW2fvZQxIEhswG7FjBNKpvgxJEh8xg+hx2W3\ntQzu525NwawIAAAmrugb0IbU82R9l8WPTcpe7hxZtrWI5H0lhhlbucYrdu1ijEtQkfhkJ9KLyMWX\nznHYUpDxW7rqkXy1xmb1kjiDxi2s0BmkLBxwBtmINGatSz0zfPmpR3dHPXjZn7dxKJccJX32CyD/\nPGLF2nnzD3waQTILfdg1z0B+NlM2LZjtkewYG30zWSmn0mZeeZFj+XrSKSZJtyxv9cAu7LGehNCN\nxf5YA8dnHaXAxnoOm73bCAse1tGtFJd57jyeVNNo6sDm59lO2LMly91M1rY7Vs+z3KJu/BR74NAi\nVnq2meVZhnExU8ny16Sv45h5/PI2nnvqx5Ob+bWEIJkV79e+fOOOcpo0FS+bFvJ2v9sDGUFoCK9m\nj1VFxLrqFb3jyiU3eQjhDvFTc2iKSvs9zDV0fJsFljU8tHlJEpCIFVpTYlIqGQI8pkSQbASRiCVI\n0jx+AGsWwGIj8zXG40cz9iDHYV//Dhojn43gHEdjv1rBUfwbRiVTj7paL1jtToaIUWW+zxMv/c3i\nSqQX746gj+a1Od1MaHrD+8Jr+8hlEut3OZAAZuWPJvUo7n5RRG+aeB//cwPaAP6Ob/skaRpJ/TyH\ntfRd2HViBlcn+yXoUJwkmaClvWWyAiOYuvnAElBubcMGpR6ij0VPdMFdrKNzXKcsT0uSD3Gl2wFs\nkPhqHpARL8qVnEFG37t08faHaVNXHRLOS5cu3jQ5oRqpRzmO9zaIgdXSTbKlnTdevmBQm3MUzv3m\nsy0mV1ZKmRlRbPDyrHS0qUc9Wum2V/BK+PVL1Hd24rdzGH2zU0hLhziwnIm0tQlkAPesvBIRJW/5\noy4IrauGHZeDVSuErmhQWdyZ7uPtd3AhI7S14XUeUQiRjp66xHHoB9n1dHaewz/RhoTGectg/IfF\nwBVufae7qampHlSC90eEmPtifX1TSzTpd143Oa16VqzdEWVl7I1EcRNSylx6vs2wQ32oydYbv99X\n6sobTeQC0uwjsWI1EtfLiOpyi0oSZGzouTtaWmxJ2SF4POj1HeQ5HBT40AHccSxiJQcgtjRt+XGT\nHS/D8gP7vvAAkmgVPz0myARx+yERK+4GTvwZb+Vwnxsej+CQk7aWFgeS/WwMlKQoboLdmyPQ5bBZ\nGyv2JMYslosnT77ZkUr0/brxEjNYhf3EKowFb2vj5fpVeejkyRMfdEJgcmqVzbwI3X7yGvcsFDT2\n/f6bO8Yd5sdijf63V5fyr5wcU6g3WO4i9+otmJLnvRzf4A0p8QOxCzwfTON1MZ2n0JgHSFDWAwYS\nyxbLNCuy3wTPuwWtm3YRCz2RchZdpceweCQ+0A6ILp5XPEYLzQxLLFaQeUBCsBBHlk51dk6hVkGe\nv6BYw5MhbwPPZZdmVk7EGrmCbSnp7t/8+lc/Zbb8jtbrIvu4bHlchF0R3r5s8W+F7/7Vr99qwnP4\nGrhlcv6+o3kViNLFGZUX5QUrpieRHITXpA8QWsx/57szhufJxcGKthdqiF9ryUfWpDf49rnKcLNV\n25GngtG8+gslByGUWPIJQMqGhEjChNramIw8bOlqzMixHti9Lst9LJeNjlpv4QVFZch2syyJ3nZR\n6pk28inGp3sksd0rSsu6FrEegb+pvIaTPMehKWmjG3hicqaxyzIkZ5i2thCDyCFJ/WSOW2AlCAeT\nhg/qsJiYWXABQPJrNrfXXYCOXp65cpbZ3Kvd0SPjc/7axvk84M67t9046DUt4G+J2aM48AzijvpY\nDjqh3Vprn8hKUWVZseYEu/XEdz59xsUMrJdBkPR80G39h4//qsZmCxXmUzErbfW/R9aks1AId1XH\nisUxoXXdJZNhbz2PXYPYeV2P9ODFrjZHXH7Q2cWl5JQI2u1ISX8oQhhXRKwJCdoLNpTLzAexWbpN\nC1BrIyGd85n8O1y1Q2K1RSJWHELxIVbS24GErsJ1dT6Q4462LnT5pXpecesP8fXesD5GbiPEcBW0\nYo22e73eeT+E/bj7ZZflOuTY9+F96Jz6wrGXH4+55KfHjj0Iw067/SznuQUgFmyZFQfgln1o7PdN\nGlZCxFobcgCyKP2BO212olZq+QT2AmYWwwKvC1bUShdzwYpI/x3FX6KV1z43WlbXsWt2QKJPmBmo\n1VZNxFoNOLHhzBJOqMe2/ZKENXFmXpL4pLxm6ahZl2Mi7N6U0823uvBrHRM5RzZkP+nn6/kxXYd7\nl8ZQC3/2bffYORHPQ5Ndd66k5M1uAGPyek2HZU1Oo2HMM1h/lyT/tto4EbbUWO12F7GfVNCKdaVr\nTl5BV3pwtY58Ird54LrOuHj7148dO/avFbvOIRDCceL3JTsjtEAwjo+sek40ebFiFnN03DZpWVEd\nZLLTqoRGzaRNfuO+L79hNe3QcD3Ita+9tl66CRMfVIK/XEe2Jj3vk07SCzNZL8OKwPPYMLLjw5Zd\nN2zvmJdTPZDl1+RJALD7cOsez0u72cbr2CPPbu9JkG0We8DV5f67Es/fR1Nq0g3ApLzBsrAnJc93\ntEO3vOaAPuxVv87zQjYx+IYHD1Ay3gH1sJiYkccAwNSYPGc5305+s60P4FIYvIRey2+t79H8CJBu\nwgRxcpuc6y7+90Zn7TX2Mvoh1q144q2KiGWmpO+ErXg1rKs/Xtxk6dX/NrLHu1BiRWHb82dTxU0e\neon3w/UI1qQXluacJzu7hpRyJ+vh0d2nA9y5KImG75HTN1vxuvVtFroX/NidCADUlIJFp6UGWKzh\nDYOuN8JWC6ixOBfVY2kRAOwCDM67IdbNZ7pu30jJPaAtJMvRcxyuivMetlM5f7ir86RzruSoD48J\nok1OAkh+2EjzW78Yxd2Pwh68Au5Kjf3ogjWN0Xvp1lPHjv1wSgqkU7wcP3PyfC9eE7vGSYrZ/cgJ\nolYvSzj1qNibW5OerPmctUQ3exJETtR8HmonpiZEEYef9MdKdVNlglwTBEHRqfMuOecAwBnDJcwA\nHDy4JEEhIw90tN9ek8ch5DPyrruJI6akVaSsaFZR3CTKYVE15zN9D4uuXFS3y29mCKkWxIEyz11x\n7coZHiCZYaO1vWMAlaGEg+QGFf4wcswJgKN4Q/n4NBp75XSQ/t+0KAr5BFNH/IWbdb98qxn9HeOv\nt0nMz/6y3Z4ya19lBJw//pe7gusCEa1WXv/FmyQeLyl80EvYkXGeu2TSuvpmXkZOjitm2ebtjufP\nJkt1szdB0Pv96tfGFy6RznoXy7ZiVW0GSUzzbofNVmOxDeftx7gAuk74SClMrFjyQxeWrGw32z1J\n+aEg8Wt+eUGCHsxtZqtXgp1je94DLo11QKl3C5diHigtyMEVXhIeyklP+y2AZS0Xej2xFStMWvhO\ndIEFfTeJYZulxmZzuPnpRGVnkK3W85dY/AiYEeAgj2LnX99qw+/FoDT0oz/5yPv3HtkK+PHu889/\n+Sv9Eom47jlVc48cDQGRaAHjzeebpyo5g9y1OZxOkoGhMTibJUbZa9Ivf+FPbWRPm8GD7DAVIE2b\nnvmLLtPGBvasiUbBy7Met9Nhu1EdM29q3EE0oMu5ZWIrNmAh39UHnV1e9KlasnReeSjvMKBtQd6w\nNbFIMk+FJThAukkF0Nn1D426zuJhvQXYAoqIOQClMCqts1dsG/JCW5t1R15t6rQs4RhFbMVC2LQA\ney5eN3WZjM4xnjJ8UIcFEbHS/LkGvg/i6BowSrrvO3cRiXxy9P2v/PwPXr7eGazY9faBBcuNH3yi\n9tPv2VB56cY7jhQSseQNK8AS513+zrl7JPqnOiLWbjSgmJqaODGsKGKmBFl/7TnVa7zRnI1BRC98\nZHmnsIVKkLU54W72NElqzdIwo5jASlxELWXmfFKD0lAaWGSORgdBmofEMJ6H6jGkmLvmcGnHA5Aw\nJPO328GWnPaBe34/jk/HUSlT9SyTfWrdEnmN3TN5Xc8oS8KkbLjuMMPidVC7EErjcrD3HvCl5S3Q\nfpdFx1yAIT6mOSdW2LPjeuhhGNF817rDYuSuSISVVcb6DiegL/VIWweZ5+bv1nRvyczqy/90+WNv\ntTyYqNgVy8QOuHrrmVetH3GOzmfYC/WYrinO0wbRaPtZ16+ZEXJWhGkz6aMyItb2EIkrB7fVLL1F\nJ6bOPtdm1JjsMFXCzFtihynbGy9wJUaTiUoNSoT7jN4ndkRKerYUbf/hrzxZJ38m4DlH9OO4JAm+\nNcyOu8Nyhqnt5pLyDgvawqjJBoe0jTW1m1iI6CD1f19PdJCQtiRsDUDIISWeCbcBdkdOct11MCMP\n323jUvJGjyApCxfnznmyAYyy0/OrH7ZHTcdaEUzMpPqgksgFqRzDEH2fY5b3iJ60K9S235JTf/ID\n19e/7Gq6fLT5vu81OF7/5P36T03KfXfrWsnPkGZOzKBBQc4PhxWbkQWumj6KCusg8WFF3Qha8k+E\nL9bslq0y7Jk4bvq735nLP9YmKWFZ0cxRKunDW0VDQ1g5duzYq6dZXp0Zp0m2BPTmXwUCftsjoM3q\nk5MSAL0ZOXCyqzuMhrfhspyyQM1OJQPUiVXrehGiWhciRybc3XUyIGd6AfaaB0Ab6Tom2JoJjyIA\nTGeb7PDs6e+jTlYMRihvDVdSSY9gy92KhCPBGHmXgYsTEhxl+onhV86IP7s3lXrlbXjqiZqaK91H\nl8c4dO2d21/4C2vH8cmY/Zd3iXVwtVNM2G0wFOMhsVykOIkEyTyCWKz4dRHHGPUskBPHv/bqbInG\nByII+jg+9wZZypeMKIR8JGvS5YWgiyjpVk6fO/I+trkz8o+fe/rpF1966aWn0P+ff/LJ51566b+8\n+BI69ln07+O/88STqO6zn/nMU0++9NKLTz355JOfQyf+v888+eQTTz55/JmZle+iPr67MvvMcXLk\nmc+j2s+hs55CrZ586qnPPI9aPfnE7xx/iXTy3EufR6Xnnnzy+ez1Xnz66ed+JDPEO6Z7FEu8lSjp\nruBCJWeQoV+924Wl5xDsJSHCEcjJkTouOS+J5OKDV2+MvlK71PK7v+sATaGKXdYUS63X2e89UdMX\nOj7UWSsMY5vhDAjIg65LqWmoGHdvQbwcdNnWcMrsW1FdK1Z6UhQbXN995vZuqcYHJIi88otP/lps\nEH0Py+mw6iLWdsgFcYpg4oXCXtsvMvLOysqK987toa4VAu5q670JXAh02OGMe2WFvXDh6tTKw3qb\nzepZWJnrbv3VnXsOcsZQnSS9hjp5TZLODOIDk457d37V2j23suCx2mz1yytTVy9csC+veKagvSOA\nz5i623pHUC7UNXTrjhf9jWbsL6FOyAt5F2dKhq4+Y2/kYTExkxZvNQHrqrxeB8lMtgQZZzoApzag\nnYi6g5du/9daefp/fqaBvXF1ca/+Do9URy1z/UvPQTn09IUaPi2Pzssj0sSOW1pPNWeFQT+8ibNO\ndlyA66aPoupm3sxPnm3JrJFNoRq8kXjpbsojyHpIaMB9De+uvv57TabdPAId5J5X8PbGm17+5qh6\nLBM8y2RTyGWutXQo/rpZ+2WiMKyBzs4mdLOpQaRxCUhtWfdhnnmROsZ+69lvsUgx8+I327eO5kyk\nZEiD+OSmzk6AVb241GxT4oPnOlqvZm9xmzkb1GwYI998uSnei8Z013TUh0UEa9+zoIPxcHdkRAt8\nLF3vWkdTSU8c2kjYxGDj87+WmZ7nXmkT379fba9I8DS0n/5YLSMHPvIGh2eLkftgfgqK6QzvIOLU\nlo2Lb59jPS5Avh9Ok772a+a12lweJ/TyodtaBIEpQbgX/ud27tiCxHocTru1bnC14DxzgqTmgu/b\nbHiHqfBW7sThz71avKOtQSndOepjOc7pcNmrZObNK+H8vP22wdyxUWghykpoDSsJ+AO25dcynbTZ\nrXbnIPoVVxoUNWoq3xabmlLUqwY0V6YH0bOzY5uLksGELJjqxyrOBjGiblngaK7xoK0fwsI0o9Ug\nyFgbxJnt0xKcaIPSwgTsIcGVQ9KMHOPt62dd5LMYfvbP7suZX368wSWc8Ffs2gZYaLwT6PjSH67I\n8Nz/dZcIU/7mQQaMyTtWdwKbeadhMOGCo4CT8HdmxwM7THo76Ayy1T6Ic0i7XQ5bbaejlJl37jvf\nnTL6SRxTItliClhqgANKkdm1AoIkVyYHJZuj5ZJymr1vHhp0w4Dna5KFx8ifmbkeJdoFf5HFWw9V\nDh+FFQsj+u4nL+piX9I9wJkga9IRf9pamE1lwRTOdEKaLDAMy19TtPp5n6iL4BR9yuqNnet44T/x\n+zFaBpPgOtPSNo5LiCAJJ+jRLXZOXfzkuzNljfXQmJhB80c3HtHYGZ88COGCAHdw95NIB06Lp5f9\nAFemfv93HyTl8Wf/v87A9XeqkbyCINl4Jtj1i4+jOTPw3Y+Q76vHtX7j3rq8YuERb1O8CCM+KKVm\nXA34abF4Dqm6iJWZ8ztZj8BbbgX0Zt74G886ytE8VhYifRKvN/Py0uDYylYZmRUTNc+0645louJ5\nQWA4l6dfL1lWKWmDL2d0Kh7a6guNkqiLRVu3dNxUH87orVomG/87Uc+x2YS+lhBJ7S2JI1m1BSsU\nI8ohMaSYBdd4lqvP+hMSTF3rSLbHjRYcw6uNIS5KjS+smjz5RV8Fw937rz4kW1fh3E1xzrqdDkKW\nrSXfzAUphJR0EOUtSDdJvfyjkx2ZzAefOdl17cKlqsQwZtznGuGVr359UR46VfdRvPhGci93ISU9\nCsg3KcOd7ZWEdVmCk+hRrHRC9NBS7DWTHiusg8T6GZJ61I9+z5ZnL+0jfcM+lXSt9PC1l5HQ0saQ\n1KPcpGEYcZV0kPiwx4PD3d8bM/Jcrr5oT/cCsKWbN292Zd3JW/5kCGIrr9Ikir4KMKqduHozouKm\ntmydmYWSsmwWn4ftvFIyuyZdDnbdsuWuvAVAb9r+olHkbjoke7AAACAASURBVGbsPRzu7vEMxyo4\ng4xbWxsd6F7GoADJqsYZeZ05IyhrfBdcF3FwWNTnisnwlVru7R65//nv/whONrZUXhWR3mYHfn7y\nqRZ5se5qz/HbstwDl7qEtMzcJbpGzOJy1o/JMSdJNn4DSnjQly+zdpMuq6SkL9bXP/2tdujfrjZB\nFgT3+U9/497lbbPzqq2kr/AAQthbYCNCDEGfefGsVw3ARyLWih14M+qa9CUn6JpVm+yKNWS3UufQ\nTl43O8MuHLAIarzqY2Zmu4CT2JUxQTJeYF/J6iAIKe9ZEU1OmB/5drYeNELArxg9nsMCh5oMX62V\n0E184MITwzgMIkEQ3iMxJ7KVFzBFZvguZ+qV2vSDtyeSb36q6YZ76LRtj473ifE32yOtN7/6jfn4\nuQ8eho9PMr1gFtNjAnqwnLrW0e4KJvgliCN/0l4X0uVWTp6ypM0fRbUI8rWvYe/Rph9H84qB/SwF\nLJMgs1hxFfhRoug+9demubKPxoq1KAj1fDidO0YYIjPpPugkHFF0kFUH7N1UtdRMqN7r7dNHOu5O\nePKieT0Tu7raZMjrrQ+ptxNc74UOMscoBEk6YR+ZQgk/1HGlw3y9wJuIg4eFEu4ug1ONI4wcxpKW\nHHU1ojcS3ugkEv4m7MUUmaxlk6/Uyokrb29cfvFkW1PQ8WYFA7TWG9tm7ty799mfyy3vTcuIHyPv\nTWJ6zIIRbOZ9KN3F9pHxD/CjX3F5E3L3/TMt+mdrjKoQJFnzfI3+xN1BYohpnEkVNd43QXYGFWvP\ntH4Z6s5fvOAuOO/oCUJKeEk6o369CUNwKcYCIZMlCMKS9bKUyDVOYitv75b5Q8FRv5I0qNu3INHT\nDLIOSkyQjADYmNJE4QeZxRiyKL3qSrqChVs/dO3ICxA/b2cvl0QaetstiQjCeJFr4P1ltwsxRF5+\n93/vvvkH0t0rE/fejlZmDMkLH8x1ftDz+ssTjb9BE1b4OANnzrp35XnC11G/swmgT0QfGOdleQTn\nTPZf+bHms6wgQXLJlEwI0v50TcLoh/DMigwx83L3SqUCIjAiyNYNNzHzcsE1w187+t+/Ml6yQx1B\nIiVubP8o/dIlfIJwnpiZMEOytSvONk1JRyJWOiRJwYyucczXQILIAoVh/EtBrKVLDb5Y7picCUpS\nKK3qIFhJb3OuqNVZfuycFwRfXhh+idJhoREE/cRi/VVOjnNgm0FSDDZe+dp+Tl7EJRCWmSBYtn4Z\nMUS+/f4d4fjZmWvNcz/9YKlUv+Uj1frDwQc1vf2fPxv+Df40h59onnJBl7wCSc6oxcb33WgoEHEk\nxUtwQp56UAc3ynsU+/WDFG5rDoOT9nyChF9+bXmPn2Sr2WnJmnlrpZHoSsF5CkESK+P9lqyZ1wLY\nVlNOoZL3C69v5h1zL0ckGxnkuxZ11EfhB1FKg1CaIQzJHbt/sytrgFJ0kK0AtMwWNt6dkPLMvNJE\noRjAzHbDAHGsqASZ6Lp1L1dN+DEjwcFyRdrDQkcQBg+mASyliBUrI3ShobS23ySLYyYdt+QMa1v+\n8k/xecPnLa9/JTr8/pvbrTV9h7v+2onTc5fecSTe/CLzzgM8BPdHnMPipmxzkI1m5u5fuTUvZySc\n2y/DfbCcdF67HkiX+ygOK2LF5ocuddocDo+LYwPhIXnttS/0Gp5YouRcmY5InMdTYOblOacUjMwb\nRvOWKmUuffpSRnZOCbybdbrs1tO9kRVlLqqOmRfJebOmA5qEUnD1xfe1Y0jEmgJkyt/SdJBwoQ5i\nXiI6SFjTQTBBhgCYyinpsvz+i6tBbMU062YOjb1yZt6Ru4zq1iDdr8NrfI9niFixAmCOkadvNZI1\nXDdts3ICOv7oB4S7gVNnn2uVGz+4seI4A0t0XQam37mw1l13Ijb04q9O4fySzNq5T7AgKu866/Fz\nWrhzLiCPzrC+OLZiwdhd6Zp9PDdW9EXiPdUPd1cQ993+2Ud+7HL7N8onyIGV9KLSHOfu/OPj1y7N\np4tqq6aDTGNtyHthU38srzTPgY9othpFB5kGcHTLrz/xgDoIJsgoBGR79hxBbB8BynJe47n7opco\ncHm1hwWaQWYkXp8BaZfpOMEkh4gVy3/6Ibrp1isDuHYUzMmbrq/87/fJp8Xx9ve/2SFPXKiPcqfM\n8uOaIFzTstlS50nDN5/7yR38Mydqr366eVTetffiwO7V2x8EZDl9424MW7G86X7bm2798vwkC8NH\npKRv1fzr2GLgbfxNW0WSTb0oDpX/Ycwv7ZMg635RrLPaBsguNg2M3PXjewXnVVtJx2lHYThjPMh7\nT57ORkdpSvq49XK48MSY77TVYYcuAx3EBe0O6+k8HYQg3KxksJFzBAmefvKevnGulAlDnH60eiLW\nKHTpN+a+5GyDDyeJn3oEB5dPX7syjmtDYEWe+sL3RwGhiO1vfusuDg6pGQmcbNo17t4E8FznWkN9\nP7r4k398ATePO3obP2aTUwCbcpn1+/WIHkm7dxhbsQZSdmunK7f2l5H7YE9BUoFiVIwgf3js2LGR\nvFAT/OKi71WLQR6eyhBkU8nNO5S3wJq5hwZyKb/FkVixxr1I+lkwqF19sZsF2NAb0inp2vaFhd1s\nDQmCfmdTYchw0QnZiFCnpCOCpJyA7X7RyH++iOQ475jhqCsBVQeJcZ4buu7n4VUYWQDYitUH0KQ2\nduVn5OMdtm2knvublVGIH1bm9ae/jHTQrbvv+27WvH1jPxwR3/lNzfLFc0ity5z5rW/hWTNlE5LN\n//eY7PbgfhKnzvAZdMydkEf9cGjbdtsekHEsloLVOmZWG2tpVIwgeO3BPaMlt3fsZM1oX6xyBFni\nUYfdFtZiVPsDNJBX8o8dnZl3Dm97mymoxbasGAcDQR1B8J/zErQa2lL2KG1YoUSkKB1B/AGpNyY7\nivznGbypbal96SsEnZLeLbl1K6g3hbudgcXT+GaDENHgZtMNQhF/p+2Vn8DVYDcJwfvZf/4FOrZ7\n9+9su2Nv/8vpslYdZjp/+Z4o9/1TA+5P/O0vLuM5knHv9tw5frvXibtIWmvPInp4vOjzGW12z8J7\nZBdJlSAcjByNki6rBHkZvZf9JmvSo26c+MliDW+V6KYMgiyIJCmOpdcshVwjGsjJ/GNHu+R2zg1h\nT549XPEYrjdb1Eh0TQfZldDHfXKPDvWlSTRNSep3ViVIps96GZPPke8/9/RA6J4z7EauEkFwzi5i\nIMh2nxav37+46YLovgMWNLmN1N/AJuhELfNK7QC/02vbxo/n5WcuYPl04l7tzc3I2/9yYg+OZNp/\ncYLPeC9d7cG6vfRHv8Xiy7nYXQ8bOO56H3870q7zTIZJ2XDA9BicYG43ScrXiRBki/WWyHpbjIr5\nQcb++1csZeTmTUcZvFshsABmeKPEefkESS+EHBYAaiwW4DdcP1pQSv/ySz9N5B87Yj8IwsiJLqfu\nU6owJLQW75UE/LTylfQNP04tkdrjvlID6Cx/3g9LCLIroLmD6CAOvf98x9l1YsSgG4PSYTFydz6v\n01no0IXs95zq9MZZG/pNvafRI+n7wIIzSyScL5+W+z07TB3+rVo+/oMPiOssfObN1i3f6z/9zVk1\nJKEACzfeeesHrUnx4lWcl4KRLT9+5nX8oC87VgbE7fAnW5dwN646G+q20bGFdZ6pcceZuyrnEEEG\n4XDeA9jlKmjFai9KpZvnB2k0XfmaX9qe4LPh7lZDMy/nUsLdrYHZZFkdEizntv/GfhDNm6Bmd9fe\nmUOjgVHTMhsPKOVT0nGSY4QhRAdJhSDYyicIwZJXcRROJQo6TEyT4w3epYIWmCBbHimEPyeYIA7N\nfy4PA+A3TvGjllaZyu2TPjETleC2vvstCHXi7yS85tmVmKTM9LYjSvvOtOEN9XZe/ls5E+TdPHyI\n3vtvfPvEPxJ7nByurWmaQG/thdq3aut9ub1Glm5eqK0992BFzlypb2TINzT2i3d/9iz6ZqfsbjAm\nbcqWj/B4CL7znWg0btYpy/1wYfzORX5EY3DiAlSTqyhj5RBdqipi7S7eZgWOc3scTjf7v/5m74w8\ne5cOZuYlWPrsyaDdDp0sw3svjqtvcHVErGTEDQBk5k0GNA6hqJj4MUNUJT0h2i6vlmoy7y9wFPoL\nt/PQSmvNVjHrPkUEyfJDRlfM7qdrPK55BgLgjiQrK2Kl+6TevAtddKkvJTq24G7qSUCHG6kfaP5I\ne06exUsz/vRve+REfdfuIHaptjxVc/vdd8kEn7l/pr7+XMdAUp69/a+XVfwsmJKjzkv15xrfJWTc\nuvJu46U/eW1b3gGe3Z73FuW5y5/C737LhRuIcR6kiDASWJq9cwl9jEazY0lAp96KJS9IWNY6Gh0E\nYdd/7dXf67ZYvA8fAUHSUy6L5fpHz1ycL66tpg4SDwj1grRRcmgr51gflhYQQ/RWrAhUVosc9EHF\nRQlG9FYshR9pH3tupWTjDQmNNVC07PmwyOogaxAu6i85JY3mLrTuPi/tnkEqQcbnjMvbNY0M0qBf\neRsOMmnu7uykNCLPfu71eLz5rRNoHhmbRe9yX9u7J3/z/k+bVPzorXdOXmXXlA53r565siDf/Z1u\n+SHkE9auRWYedBxH/Bi4/Sv0Zy/cxA6YxdlLF8nKToUgeMlUzoolu9xgeO9HUelgxXe+l5ZXJbwn\nur1ns2STihJk3mOz1ljAQFyefbbX8LzqK+l4RYdUyk6XCklwCzGkMd+KleqXoPF49yr1QqkfPyMd\nQRpeWEWCDc64aNwkJimrSaqhg+SU9GCdtqMc7h4vl8p9Say1zRmhfV1O844kswUaYSb1Su3M6RFs\nBR5eAB7P2eMSOu3aW++o27Cid7pVWxpzR7ueq/VyywKq++NXu2ekwdUHrl157XRvGPFj7MrtGUYe\nQEJbxuPc7Gysz9o/MEGUJVMaQZbhWdWxdKQEIQxRqtclD8Ny3mr6QQSegVDzg2B+PCKCkOGg77O4\nbVyb7oHM1FPaRi2aDjLD1av7t5X3eJIhbz03nT2WI0j7Z6YZ2JM2brwtms5xh4beirUO3Xr/8Lok\n5TKVxd+s6ZcH3CtyHEeBbIAmATGEWQRICB0HvuUzTPh3Xye7jZ6saWy0kbcqwxaMN9TU0PjPhIXg\n+AN/3QDO5YM+T8MM4sf4vauIbS2OGaSUMPHNc/8cVduOzo8AJe1+liB+JIWW9ygqH+6uMCRX3dWD\n3mK3s6J+EMENGYYL5+9RSPjxCAlCShMStK0Z1qZ66z+pbi+Yp6RnI032fDxqrEnumEaQjk+c7TFe\nSrBuw3kbzLs+LEa69Z2mvVC/p+SGq15nubG+xcl+MCe7cD6g5bbL4iv/gE4RpYw85zifHhX/4Rkc\n14hFrMU7Z86cqevKmU2vv48OXAymlK43X30JSPFWRxC78NE80Xxc7LgWwkarB3LS4UksnrwVz92h\n/a5qvcQESTph3k80lQs+KEYV1oMQhhSduMgCJHY5nYfzg7gdVmuNNVCUzpdR+fGoCSLj3COSJDoM\nakOTxz+QyNe22IoV8xErlt/IbTHnJ1YsXyyvhawSZEY6+8x0ML8JgUNEhCoxq1R0BhljwLS+0/48\ny5DLbdOtIgO1nDws3ZMTbkdSjrZdef4MOhjvZZOynWf9qY6n/zJOCEIQa/uHMyp+osldqJurH/31\n2jTL3sXiGQ5ICP/OhboAvvCi7LAI6blfNuvewQEoaoppil+GUlo31h0LmDV7FNVYMIUZUvInWQ6w\nnNCIs0qX7wfBZzfwPDu0U2oMjMqPx4AgGLFGnlsurA2tIU19EkrDBgTJlhSbbp4VS5SmEyUuhwgy\nLMFJxwurG0UEWea4BgMhu1oi1iiwa/myEWbcuV2mSTrSTO6SQu19udk1hVPRx+XRX3zuJ/hgwg3s\niCgMsP/s07faNC4UiVgY9+FXv8RLeEtTBi/xkHF8+19xGUSPJXnHXZecPHNT91mIIPKOagQZP+vT\ndzgIpMouuX2g/XSXplTfS/GKwhPfM9uCTS2tD0l570JR8mpJstyVpJ6pMrbIYWaf9ZWsXWmpxi63\nV73egVTpAZEdzL2ZfIIgTd2BRGbO1roPh1HJUuaOlUPvJuKHnE+QjBdia3/pxqkBbwWzmig6SJxF\nb2LuQmRFoXbJbc6rG4b77ffSUyAop4XuGBN9+dsk+37qLJwh3dR//C8feL2K26eQIDG85+YbH3+T\nbPgb89SRkyIf/FYXI/eAZXkWaSTXTzcnci3GyQSjEkRZUah2uOsChesVinHwXW4X+pV3TmzixD5l\nxbPmST/xPcM0VmWWDmDmbVP5kT2GvsRk+wOCUUu1NtBBwhS0L5Ue2nZA8uYUJWzmJQyRt3oGICg9\n45VT6gVwwIfnYGLf1RHE6ZUC26UbL9khErwqvIFOthCCl3WXVFYUqhfadPXoqF13rnNmCTCZBKxL\npL75N2c9JIx/BlhJNPgrn7glLuNdQaVQbpQdDLbDxQKe73wUsyblACHSYd+luicm5CuOeTRXDMS6\nL729lhvCLFReIIUgyopCtXaujtXSYJjcXGVErPgklgxEcJssFUc48ZXy9rutEEFmP67wIz4oNpCd\nR/xzmaMSsRLBeoGfKjm0eAPLZ01bxA9CGEJErCUIumcPRJBlFyCKMNZBFP+HSpAdnm2Il2w8xQv1\nwURR7WGhs2JZeZdOP1RWFKoXWnTkJi0mw113cltOR9Ljlxa+/Z7rTDtJNYeUbCSqjVmfP/swCKHE\n+HJyxQWvhI5ExONnPViiY3fIRWBNKzw+6nAD1HJiGra4dNGfnQ511fmouqJQI4gPjJcnbVZaB5lT\nEmUG/ux7xeuWqkaQ2WdrlMuiN+bR6CAbAUTLkhs8DEIJz+XZrCaIIaoOkgnx9d4poyYlS1Peel5N\na4JuN+s/JwSZhWRPRMPGu+i7ESixkO2wyLNipQXCXbV7sqJQRZstop2HJpg23vPQXbcrh7u/dkYO\n1/1a8Zut24BzNvb672G1P+bPEaQBS1W7r39hTAZdbYrNNlNf170Zfvq2mJAvu6Yk2I2TWKiX27Tl\nth7MriiUswRJOKE+pm36iK1YGLvX//qrELr5hSoTJBlxQ+b+xy8/mu0P8kvrgpDLyFNYOwnhSNaT\njhiSp6SvK7GKez4eNVoxdyy4ocaXbARHoRJFa9A4E6oXBJMA6MNiYqxH0mcV6ocjuu7JikK1dgbo\nlqUkoCcI7wTBkDz2hR/L8uWbl3jl8bVf7e6+89RZuUgH8f+Xdx3d3e8rL9x4a2Ptruz4SJe80ul8\nYHOFYDR3XxvWcG4I6Za7qr0CEeShRdTp8AkeHrkVS6k+8f20HA/bsHEXTpZhbNwfQWJhO+7aNZGW\nsX5u3uHRWbGSqm5hUDvZnHVWrb7QWWTFWvQSM++4UfhJfJyYeb1Fqa2C7S8o/BiyXZ4sMS6sqyTN\nH89hgUWsiCTplsHMA04X9z0CdXuJRvDyQvW8bVa4yXCTEhf/k39ikNra+97beKklNvNGLd88fnVV\nT5CE+3sfrQ1l/SBbteeRhsOMXv7kxLA01Mc0jAGdmBsnDzh7kZTNO5wz87ZCNa04rp4iG0E/GoIQ\nhiil1LgH7/vZENooarxvgsz14s2fPeRtIceI/epxIQj+g+gWRrWhtW0/CXdfff58icZKjp98M68Y\nXCo6T0HD86tku0L/drGZF5dUXWWPx3NYKDrIhrPrYa7TjVpOJ2MHLVqgMXbsLeTOWz7tl8PQ5e7+\nw5o6vLtj+vZbv1nN+kHAx/65691cGp2GZ97MZirPtJy5uoWzSNaBZ1qACLnY7On+3H2lrELug5wm\nKwpVggw7buUeANLzC5dZFqOa+4MoDNE1iQ2SRMyidG9Xf15hyYggm9ezTacL1k3MPucr0c2jIohM\nhBp+qKhWCXfvhdxa9NOOcrrZo+T4zPQaB3vVcPeC6iGutMCXXzosVCU90wNbct2ng3And6GwQyf1\nBzp0wfBbPJeM98I7X/wf8giE6L1/+N6P6hQD+vqrf6ztTJD+i2eVe5zreu2EhC7mk0Lpuo9dsiLB\nKggmcnfjgTBn5s1ABr9qWYJ4wFLOirVeB1VHxaMiiMIQgyaZtgDHsozTYbfVAG8oshKTiwiysRDp\nZVqabDjVsof3DnQXd4NLCj8eBUGavV7vXMlLMvI2D2F+oi41mjftt599xmEy3vJKjmfO2fzZz3QB\nQbYg5I13k1JK82jszaVvbZ/QWbHaIZPb9SHDd+tWcPmsO7kX4KxbZ0xLB9ktedr96f/FDiJWIT1k\nbBg2nmn28nPyjd/O7te68Qff3NmWpFvvnL2D18qOw8DOEtv0n1v9mQwD9Hku+t7XmXm9nGJAxATJ\neNwbOSvWEAiX963Yr6PQy3PKjuM1wDOgLOEx2UAHM2SvX3trJTIoFS+Y6olMr+zuqaRn+WFykd3Z\noL3GarUru7tX0FGIu1/zQolfLHnxdFiSdMKWPtx95jPvWWbMR25ailreeXImP2mDWj0rSeHSOt8i\nL0FvfrTYYbFwQzXEoU53PY7N3CUDYE67UNpTl4tbzXBO/c4uA3BWht/4e2sz59/hoRuLWBs+V+MV\nvuaqJL77vx2SvanB2gQhsYIBB4xGwIWOlk+2ykmO39LdoU+fMLHZoZoHRueTXC9R7whBMizUWY92\nunKKTjEOMYPsTPmIcHi60wKUbV6Kl9wihuz/DSjfiqXyo7A2McVYSO5HC3CG5pNVFbFS/aapoQfq\nWfX10RMEaeqOCN6q9gAEiUkQRLD/3IAgU+y5/pKNF3mhvr84qPHwGAF2XQxvAG84pYlTLi2GWYa8\nLTe/pL1WfXBKP2hJfftMasDa2C442nmBfHyjLPps/tGxY590S1I92Xpzt5cXLgzfq2kXl8PHJ6xs\nUBfmhfpY0nfYqV14sM2d9Q4hgmwDTmcK6QO86c67FRKxFgM4d3/rBWtwK7/6xPf371MvmyBtz+X7\nz+V5Dq8MsQDHQN6+C9XXQeaVzc6M72sZQrIVSB5BFI9hHCdtmDXosFRpDidtiCvxJYUEyYgALpdq\nPIGm5vnq6CAYcQh0yRzHgF//Ic/lXUy4PbmorAT06N25LR7mT3HkYsT263dve4ckCT01bMXC+XIA\nbrLohTAU7L70z7d7kzg/dRdzXu+OHtebecelJa3rJLweVc9L3Yf+jNZkuxtoYV8lUGkdZEl0Q4bj\nvbfUoZ/86r596uUSZPYTKj9iSGBFkp8rvGPY4dEo6RH0fS61mm/bD92JfIJko05Q9VoQvbzhPR9P\nCEpSMLtXHeFHHkESLrIbi2HjVTTHRUp3XSGgaSRnQJmv7cldaFgX87TNBnIX32aFvAENf/Hv8Ms0\nNrsb6bx8+fL77zjRDPI0IsgdNIM0/Lzp8vkW34rS+M7H2vMWUEzozbyT5B9KbbybS2tWrCm9N3+Q\npJfbA9VS0tt7SNa4wV35te/v16deJkFmn7sor/mJB73PZnLeUVqxIgAKJVbSbnPNDvVJKY5CwhC1\nOiKctjqcLn+xSXfJ73I6rKeF0dwxhR85giRcl7kSS7XiApLHzJ93xbDhvp7Lwrrbw+fEriGQ835s\nQn/u4sunNe0JH0t961+Qlq6Gu6d9l964fPntpz/xV4gt/9Kxo504Bls+M6G/h3m9mXcejGgdJp1Y\ngsoSJAimNCtWRrpe1rtQ5W2gNwJiw99+XehdLNX4gARJjYudn2xuEIcTRrWFpSM18yZ7AOgxrA2t\nhCXiJlNDTTBDCk7cGuAKMityA1v53TAqP7IEmYNSeM3QDyLjoeydEqaSGIRDWvfpAJtb/DMCc9kt\nZuw6b8Smy6YLikZ6yCrTalVfKaNw99GzzAheX5s7FpF0W8XaHDm5O2lX5ghixWKwhpIlyIpLSy62\nB6q+Tzoqnfx+YoLsZKxu2XpwgiQmJBFvoNO7hPXzchlXFYLkVMDiSw52nfAki2qJiDUO4YgWi4U0\n9XLvQVdS+YEJMqKkMDHwgyQ9J7oGixtrJbO9jw+DecjlfOoDUk4p6gM5db3VoS4bRrXZuUY5DzFE\nHpsOASh5lgsJEvdKEAibjJzlh9IkqDdJxZ31WgtoU43Jo/NJB8m3qBBkWGVxGTgKgiCGZDWz5LSy\nZ2ujNLZlcF4WxQRZ6pcayHavAdVMQexXj5QgrRarTSrIUKcrxTygYz7/mKqDTLF2dT3I6gunjRqb\nlk6r/MjctqkWskKCzHeYGciSks1qOWA69TIQZ+25BcQ+nRWr0ZELpZjR5yZKBz2a2wYxRBGxEkGv\nVzeZnvd6ReXGGZUfuIkH6GIFdkDuq5kRTmsLxgbb3Nlyis8wUM3vXg6qscNUfjUuKQzRH3s4gJcJ\nqlEV4fGVXT1BthYjfnXBFD5tvNDrVY7/3JAglc2smPBDyTVZ8uIDEH2qigmC14P4sByGsPqEo0Tj\nUiXHE+Q1QdITKxr6QdAHEg6U7GbSJUF//hLFyiPtdeeyFV51qI5EBucf1QY0Amdzw8jw3aorOPXt\nn5uvKGxW+SFDq3szVxtz9moL1NI2qL1RcdeNqNp2p96t/Qpl4YCZFUWpURrKjq0MgigMKf27by9H\ngnpH4cDkCpFQSukgZfnP1dJCX1UyK2pfqsF6jl3JP5YrRTzntOm8wIq1AEHbrNz9gqPkyI1Kjhe6\n5WUASPyfkaNw6JwnUqrxCsvVDxaHn1QFQy71UTPyBMzFPAW6cl7KIZ0bUc40qoJP6mtvagcNCNL/\nsSw/Vtx1up1Zkg5ec49mPDjCRGmx1uXTYrHWXNx+954+hIi1TiYBUWpie2aVp26SmxczpNwP/p5K\n+t7+czk+RqJj8f8mY9VX0iMA2EptPLftxztnyEUEkfH+LV2n7j/rKHEPRiXHc/dPdbFZ0bqQIAkX\nDGyXaLxsAyBi3HWVsEj2IVcuNAXC2iX7HbmQfZyEJDegVTckb/LIN+qyxwwI0n+caPg7XUA/O0Or\nV3MZZqCyVhDXruC0QFmCjADN1FU+KqKDJCZ4N3TaTeqQWQAAF+1JREFUba1Xp0uGxyGGVIogpfzn\nMl5S+K7V5nS7WEn3bToaK1aSB911JYIwk/04dVwxQUj1wKfeAbCcDeW3ITjxqQHdsTyCbEGJbAdj\n0Hi3rhvwyfxj1ScI+jW47ph6oUUYyukl7blgxUaXGg+iSKWgcwcp6d/OMqSYIP3HcWAiD0S9Gz7N\n1ao2YNnjdmyrLeaB8qAxQUJQWxGwH1RYSV+RyM6enkixsnLy+0YKzAEIUuQ/R3BHlEQPoZU9dJDq\nmnmtdguYMa5NiOxVTTnMz2qy+oJj08vxp0FfqVVN633gNM95N50v5O1vkCPIQjMrlrB4zwCLzWo6\n6ioiLYCH6oVmck669FmXujAYfSDyg853Ibg9m8oypIggiB/y/Q7LnP7YtieYC2jyn9bSHnc6erOl\n0agNrh/sDqpjxYplNzOP6LfUO/nVMlN5mBMk5z/Hx7b6yIUaps28kUfqB5mDwB03rA0yLKtEXRSk\n/VkleggSHQUL3gDFUpNbBGEhR3hl7TrhRzFBFliWNc4jFHcD/fqkEqXqoueatlqpTVskzsh+Wy6z\nxJQUyRuQ8xoAv493iy4iSP+T14DlbF5sxkq3bnGUV9C2elxwNqmnJR50bssHRHXNvA992Psh9iph\nv699v7z1CaYEmX2OLDVOTRDHitgfK6PDqhCk0SBLdra0wzPnloprsYi1IOFcQIV5sQhD9hSxFH7k\nEwRn+Jky9IPIS+cYfrvgWK40n0tcVW2Mg5B68Q3IaMNQKKL8ewEGdYPEZt71l/9eco3rCbJmg1c+\nKsj5dzNLdIzsMUQPtXYsp6E8lPza779/HIkfJDWufOb/8TsZg9qikhlBZp66Sian3sUSjY9uBkGK\nOegpNF9rpUklK1YhQWScY5LlewuaYIbsdTdZfuiO+dHUocQRFxKEZMYq1WEmDIE+/KT6WAAe9eLK\ndlPKxTFF1GHMubQPvpJZMfWtuswg/542mZ7r2enP858j3HcFsiUmSw+ldhRqsVgz0qB8GBwJQdRS\n7J+/yngcSJu/smAmERkQJD593mZzQnjvk9177cRkUKqeiDWHXsRAqXjlbQGK8WKCICxe4filvCZ7\n+9RVfqjHlnjuqrZnaB5B4iIUtmXjbtBoobcgv+lRYNPlULMKxzmb9hv6bbkoui6PJ/uAFEchYki+\niNWv95/j7d0813O1WXrg2kgufUVI2wf4oDhSgsjyKSJlZdoCVrxWg+wwZbqi8FL2NLeyonD2OX/5\ntDgqHWShnuejJS6+K3L1mnaYb8Wah5g+WpO9fOqa/xwfQxTABlEjP8h6Paf+IEXdRHneaB/eo0EC\nWlUybDm1hNZIXdclKohABza2ZYMV8RyiI0i/zn+OnbB9ucV4GfG0Fkfd4hhXW3iAdrcHxn5XFIoC\nwzBuh91+cVadBPZDEPnUq4VCydpsRHJjfVSbTE93oz/4QGR5u0DEmnveb9J1yVKslbXZIYQM7+2s\n7IpCrbSEhJbpEsOYkLL5/YrMvDsix2k5mcx96s4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} ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 11. IM3 - bending energy" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "library(psych)\n", "bending_energy = function(X,Y){\n", " k = dim(X)[1]\n", " L = IM3_Xp(X,Y)\n", " Be = solve(L)[1:k,1:k]\n", " return(tr(t(Y) %*% Be %*% Y))\n", "}\n", "\n", "X = rbind(c(-0.5,-0.5), c(-0.5,0.5), c(0.5,0.5), c(0.5,-0.5))\n", "X1 = rbind(X, c(0,0))\n", "X2 = rbind(X, c(0.3,0.3))\n", "\n", "Xcp = net(X1)\n", "be = bending_energy(X1,X2)\n", "\n", "par(mfrow=c(1,2))\n", "draw_net(X1, Xcp, type='p', cex=2, sub=paste('Bending energy', 0))\n", "draw_net(X2, IM3(X1,X2,Xcp), type='p', cex=2, sub=paste('Bending energy', be))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Q3S1cQ9Idg+1OGm8p8zhliaO5/hWHLKcP29Tqd272DLKdfCfEDKgNAAgSjNi6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\njnfhbxxAkGDEliQI7yQlxH40R5AtY0b13Ax7DX779EF2TGK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} ], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000\n", "par(mfrow=c(1,3))\n", "\n", "# sipka\n", "cplot(X1, pch=19, cex=1.5, sub='quint')\n", "arrows(-0.5, -0.5, 0.5, 0.5, col='red', length=0.2, lwd=2)\n", "\n", "# bending energy 1d\n", "x = seq(-0.5,0.5,length=100)\n", "y = sapply(x, function(e) bending_energy(X1, rbind(X, c(e,e))))\n", "plot(x,y,type='l',xlab='quint diagonal', ylab='bending energy')\n", "\n", "# bending energy 2d\n", "B = matrix(0,100,100)\n", "for(i in 1:100){\n", " for(j in 1:100){\n", " B[i,j] = bending_energy(X1, rbind(X, c(x[i], x[j])))\n", " }\n", "}\n", "image(x, x, B, asp=1, col=terrain.colors(30), axes=FALSE, xlab='', ylab='', sub='bending energies')\n", "contour(x,x,B,add=TRUE)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HXxVnzynGjRQF+r/+lKW3hEZX8UxB25nIm1mtmtkw/MyMbKXESsoIMou6zWi/+4XFM0UP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\nI8Pb29vY2Hj16tUsFqvCnpcQQogMJe6EEKJ5li5d2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} ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 12. IM2" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000 -h 800\n", "\n", "# IM3 model is programmed in a way to work with all dimensions of y\n", "IM2 = IM3\n", "\n", "PRM2 = function(X, y, Xcp=NULL, lam=NULL, return_model=FALSE){\n", " k = dim(X)[1]\n", " \n", " # matrix\n", " yp = c(y, rep(0, k+3))\n", " \n", " # matrix Sp\n", " S = S_matrix3(X,X)\n", " Sp = matrix(0,k+3,k+3)\n", " Sp[4:(k+3),4:(k+3)] = S\n", "\n", " # matrix X\n", " R = sqrt_matrix(Sp)\n", "\n", " # matrix Xdm\n", " Xdm = cbind(rep(1,k), X, S)\n", " \n", " # matrix Xp\n", " Xp = rbind(Xdm, sqrt(lam) * R)\n", "\n", " # linear model a its coefficients\n", " model = lm(yp ~ Xp - 1)\n", " if(return_model){\n", " return(model)\n", " }\n", " beta = coef(model)\n", " \n", " # new transformed matrix Xp\n", " l = dim(Xcp)[1]\n", " Scp = S_matrix3(Xcp,X)\n", " \n", " Xdm_cp = cbind(rep(1,l), Xcp, Scp)\n", " \n", " ypcp = Xdm_cp %*% beta\n", " \n", " return(ypcp[1:l])\n", "}\n", "\n", "\n", "GCV_PRM2 = function(X, y, lam){\n", " k = dim(X)[1]\n", " model = PRM2(X, y, lam=lam, return_model=TRUE)\n", " hat = influence(model)$hat[1:k]\n", " \n", " yh = predict(model)[1:k]\n", " return(k*(sum((yh - y)^2) / tr(diag(k) - hat)^2))\n", "}\n", "\n", "\n", "opt_lambda = function(X, y){\n", " # find minimum lambda for PRM2\n", " f = function(lam) GCV_PRM2(X,y,exp(lam))\n", " opt = optimize(f=f, lower=-20, upper=0)\n", " opt_lam = exp(opt$minimum)\n", " return(opt_lam)\n", "}\n", "\n", "\n", "implode.grid = function(Xcp, y){\n", " # long vectors useful for image format\n", " xx = unique(Xcp[,1])\n", " yy = unique(Xcp[,2])\n", " z = matrix(y, length(xx), length(yy))\n", " return(list(x=xx,y=yy,z=z))\n", "}\n", " \n", "fplot = function(X,Xcp,ycp,...){\n", " r = implode.grid(Xcp, ycp)\n", " image(r$x, r$y, r$z, xlab='x1.coords', ylab='x2.coords',...)\n", " contour(r$x, r$y, r$z, add=TRUE)\n", " lines(X, type='p', pch=20, cex=1.5)\n", " axis(1, at=unique(X[,1]))\n", " axis(2, at=unique(X[,2]))\n", "}\n", "\n", "# load data\n", "t = read.table('VCG01.txt')\n", "X = cbind(t[['x1.coords']], t[['x2.coords']])\n", "y = t[['y1']]\n", "\n", "par(mfrow=c(2,1))\n", " \n", "# IM2 model\n", "Xcp = net(X, kx=100, margin=0.03)\n", "ycp = IM2(X, y, Xcp)\n", "fplot(X, Xcp, ycp, sub='IM2')\n", " \n", "# PRM2 model\n", "opt_lam = opt_lambda(X,y)\n", "cat('Optimal lambda =', opt_lam)\n", "ycp = PRM2(X, y, Xcp, lam=opt_lam)\n", "fplot(X, Xcp, ycp, sub=paste('PRM2 (lambda =', opt_lam, ')'))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "Optimal lambda = 3.177167e-07" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Z0VBMb9JmxGzDaEVnxGzDYKXdhMmKwUK7mWY9TR20GNCZzheJiyY1jpwkcpIZ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I1nbSx7bHDW3IQmFROWytDnWOhxqhwWKv2/vvKBGnIUKGYz4l7IAf8gKkg4WrMS+71o2zjr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\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} ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000\n", "draw_circle_net = function(X, Xcp, ycp, r=0.9, ...){\n", " # assign NaN values outside circle\n", " g = implode.grid(Xcp, ycp)\n", " Z = g$z\n", " \n", " for(i in 1:length(g$x)){\n", " for(j in 1:length(g$y)){\n", " if(g$x[i]^2 + g$y[j]^2 > r^2){\n", " Z[i,j] = NA\n", " }\n", " } \n", " }\n", " \n", " image(g$x, g$y, Z, asp=1, xlab='', ylab='', axes=FALSE, ...)\n", " contour(g$x, g$y, Z, add=TRUE)\n", " \n", " # show original points\n", " points(X, pch=19, cex=1.5)\n", " \n", " # show net\n", " d = Xcp[,1]^2 + Xcp[,2]^2 <= r^2\n", " points(Xcp[d,], pch=19, cex=0.2)\n", " \n", " # circle\n", " x = r * cos(seq(0,2*pi,0.01))\n", " y = r * sin(seq(0,2*pi,0.01))\n", " lines(x,y)\n", "}\n", "\n", "# load data\n", "t = read.table('EEG12.txt')\n", "X = cbind(t[['x1.coords']], t[['x2.coords']])\n", "y = t[['y']]\n", "\n", "par(mfrow=c(1,2))\n", "Xcp = net(X, kx=100, margin=0.1)\n", " \n", "# IM2 model\n", "ycp = IM2(X, y, Xcp)\n", "draw_circle_net(X, Xcp, ycp, r=0.9, sub='IM2')\n", " \n", "# PRM2 model\n", "opt_lam = opt_lambda(X,y)\n", "cat('Optimal lambda =', opt_lam)\n", "ycp = PRM2(X, y, Xcp, lam=opt_lam)\n", "draw_circle_net(X, Xcp, ycp, r=0.9, sub=paste('PRM2 (lambda =', opt_lam, ')'))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "Optimal lambda = 7.485854e-09" ] }, { "metadata": {}, "output_type": "display_data", "png": 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RvwNaDem5BLSmiSeKQnoOo3rh5EheEd61CWqHNp+LufTxxa82ddzIKuSLhyjznrpw4cL5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B6dkAyaeZtQSnE+DDPaxPAqi2MPVTdO4oFSRe4NlNrtXYxYf44hRART0JO5B9s1tyKKhzXbUv\nSGNLDkCphYQksmsAfihnbqbrR2xBLm4KgEh3vinhwiWP5o25Mb+Y1avJyXFZ238P2x0JCYVZWTZg\n377aF15wGdDffrvkm2+qAYVCCgxUTZxonDYt/+67c597ziVozPaEhELZMb9zZ42c3gvMm1e8a1cN\nkJdnT0golDc7/U6279m/PxvIzCxPSNghm6G/+OKUHAEphJgz5/uDBy8C586VJiTskN3qGzakyRGQ\nTqeYNWtXUlIu/2m2L19+VM7/tVjsr722f8yY6L17J+XnV7VosejZZ3fl51ddhe25s2fvkn3e/8ts\nP/P22z/Jgga2//hjdrduSxcsGBgV5fXll+mLFiXKgt9iu5g9e5e8teDMmZKEhB1y2szatZUff1wG\nOByN2W6ZObNw7dqKUaP0n31WsWxZOWC3i6eeKpQ33Z04YXnyyUJ5H92nn7ryf61WnnyS1FRSUvD3\n5+mnL7F9LWu+AqirZ+YrpJ8HSD7BrPnI184fbmH9HoDqOhLe51wuQOIp3t3sSphZvIsvDgNU1JGw\nlgwzdif5VTy/2/UjtuAg8n63Oju786/A9osWtpYARKr4ppYLdv7686cadf53hy5dAAoLL7OwHzoE\n8MknCMETTwCUlroEw4cjhKvLY9UqhGD6dIDKSte1y5gxCMGuXZHAunVhQkRPmeJNIx/kXXcZhYje\nti0C+PLLcCGi773Xi0Ye90mTvAoLW86e7Qe0b+/eq5e2RQsNcPJks9raNsCUKd5CRK9bFwZ8/32k\nENFjxhho5HF/5BEfIaJXrgwFDhyIEiJ6+HA9IER0WdnPDuklS0KApKQmQkQPGuQywRcWtgRmzfIT\nIvq99wYDx48/JIQpLq5Zx46hDbXYL7zQRwjT22/HA6dOTRfC1KdPE9nCLtdiz5sXK4R47bU44Pz5\nx4Qwde8e0atXlBCmM2ceAW65JSgurtk997QHsrP/KYSpc+ew2NimQphOnJgGvPvuICHl3z5/AAAg\nAElEQVRSn332H0BBwQ+yzTE+vntDLfbHH78gROrMmffRyAc5dGjvhlrsFSvmCZH66KMTaOSDHD06\nTojU3buXA59//oYQqf/4xx008kHeeecgIVK3b/8Y+OKLhUKkTp48kkY+yHvuGS5E6ldfLQa++eb9\nhlrsBh/kAw+MESJ1w4Z3gO+++0SI1LFjB9DIB/nww52EMH322Wjgqae6T5/eSXayCmEqL38aePzx\nrkKYli4dDiQmPiiEacgQl5PVbG4FPP20nxDRH3wQDBw92lSI6AEDdOHh6rVrw/LyWgLPP+8vRPSC\nBQCpqQhB37507YoQrj84X34ZIXj9dYBz5xAZ9OhIj46IDM7uAXhjFiKDl54AyDqA2E3XtgR6k7WW\n1OUACx9B7Oa5ewDyLnncB7RDLOPICwB3d0Us46lBAEULXTbHIS0RJg4+ALB8BGIS/UMAysa7PO4j\nIxCT2DsQYHVPRG+mhQJU9aCmJ8C4AERvdrYHeCLsBvpuzBXHxfZu3VyXJtfN9ihg1apQIaKnT/eh\nkcd9zBiDENGN2R4frwNmzPA5fbr5dbJdiOjNm8OBbdsihIgeP95Io/1L12T7LOCRRzoLYVq5chSX\nHNLDh7emkYVadkgvWTIMSEqaIoRp0CCXhbqwcCYwa1YPIUz/Vba/9dYAIUxz5/YB3n9/cO/eUX5+\n2k6dQi9nu+nZZ3sCBQUJ/8tsN40d2xZwOJ5vYPsPP0xu3twH+OGHyQ27FK6P7U8CTz/dvWGXwtGj\n/5DZfvvtHkJEX872IKBDB/eKitZ9+3p27eohRHRWVgvg5ZcDhIiePz8QOHeuuRD06EGPHgjB2bMA\nb7zBzJk8+CBAVhYig64d6NcNkUHqDoCFJkQGzz0KENfdtcFpQEfEbo58DPDhE4jdPHUXwNsPu+A/\npD1iGQfnACx/gO0TiQmHRh73kW0QJlb2uALbZY+7i+2BAE8Y//psv2GV+VfG6ZS6duXrr/H3B6iq\nQq3G3R3AbHYddDioqEDOJqqsxM0NN7erCioq8PBAowGizWaHv78SsNtFVZVTzl4tL3dotQo5WrVB\nYLOJmhqnl5cSKCtz6HQKtfpngcPB0aN1Bw7UHTtWf+aMVc6Y793bs1Mnj+pqp3wPFouorxdGowIo\nLXUYjUo5tLXhIerrhdUq5GT6Kwrq6oTdLuT04pISh7e3UqFAiLHFxbX+/p5AXZ3N4RByOHFJSa23\nt4dCIQkhSkrq5M03tbU2IYSnpwYoLq719fWQJJPTaSotdQlqaqySJMnhxLIgO7ti4cJDP/2UM21a\nxzvuaGuxOJRKSV5aNZtr/Py0kjTO6XSWlVXK4bhVVTVqtUqupDabS+VQXofDUVFR7eMjV0NXazTq\nawgqKqrc3d3kzuoGgd3uqKqq8fY2AOXlVVqtu0ajbiyw2ezV1bUNAk9PDzmcuEFgtdpqa+vloOKy\nskq93lPOHm4QWCzW+nqL0aiH9aWldUajmxycvHXr2Tff/HHbtglCCIvFYTC4AY0FZnON/PrX19tt\nNode7wbrGp0giot/PoODBmVt2xbp7i41EqSVlODnB1BbixAu20BxMT4+KBQcOsSSJXz0EWRSU4sk\nofUAKC7D1wtJwumkrAJfb8ikoob4mfz0HoC53OVudDopq8bXAJmuvHYPDcDIRSwYT4QvDifltfjq\nIItKCxol7ioAcw3+npDJyO959TZaGQEqbbgpcJPfnPX4u0MmdkGlHR81m4s5Xs3TEa6P51NrmJPB\nJvMN9N2YX04D21eupKaGGTOun+0/o9vhoKLC4eOjBCoqnB4e0i/QbbeLykrn4cP1ixaVWq3iwQe9\nhg7VazTSdbIdsFpFXd3P6DYYFHJ2cIOgEdvHXY0MVuu10FFXZ7PbnbINrzG6/6tslyTJ6RRlZXW+\nvlrg0KHcJUtSMjLK7rmnfd++TUJC9JcLxv7Psn29xWKvr7cbje7y6798+dFduy58+ulIIYT88los\n9utm+xVP0Lq6OuFwCLk6oDH8d+yoXreu8pNPQmprnUIgt74UFzt8fFyCkhKHn58S0mpqkCSXs6C4\nGF9f+vRh+3aqq/H1hUyqa1Eq8JB/QErx83ax/fuf2PEDr99FVS0qJR7yxU85/l4ADidzP6VzNIMC\nqaxDo8JdDWCuwl/Ppm/JKufeW/DxAKi04KbETUXaUd5IZWm3y9gO9DvG5nbolZBJqpU55Wyq+Yuz\n/caF+78yO3dKu3bx6qt/7rP4fZnxFRXOH3+s3b+/NjGxzunk9tvde/TQduumlX+7/CFz/VbL36zF\nBqistHz88eFNm06NGtXmwQdvkwH3W/M/4Ym8qv1Rnqys8tGj123ZcldwsP733O2VLY/nzllNJvOq\nVaGXH/4Nj/sL/6TLrQy4SkbvLzyIB9NYu5u3H76qoGHsTvq+xg/P/EZ2O1B7jiHf8X381RWNHuLe\ndOZE0tzj5yNDT/BJWmFAQMBvPMyN+ZtNA9udTgYMYN48br/9997H7yPz2bPWFSvKt26t7tpVO2GC\nsXNnD+kPa+/4V+Y/uX/pOqey0rJixbH161M7dQq9//4OrVv7Xfe3/lnA/w2GN57i4trp07c2b+7z\nwgu9lcr/oHv5qh73yZPzpk3z7tjR4yq3XxX+5eXceSfffnvp35lXfeyVX2C1cv/VK5Eef48JcXS4\n0kaGFV9hc3B/h18eP3mED8+wqPMvH3fYCT6Ldl24A0OL+CTjL872Gx73f2XWrUOSkCQqKgBGjODh\nhwHS05Ekl1v9nXeQJFfo9eDBPPYYwIkTSBI7dgC8/jqSRF0dQhAfz8yZACkpSBK7dwO89BI9emCx\n4HQSG8szzwAkJiJJHDgA8Nxz5j59smw2YbeL3r0zTSYzsH9/rSSlyVbmZ54piovLcjqxWoWXV3pK\nSv3LLwfMnu23e3dNmzZuqamWjh0zvL1PP/ZYwdq1lZKUNn++bM6rlqQ0OSH+0UcLhg7NAaqrnZKU\ntmBBKbBlS5UkpZ0+bQWmTcsfOTIHqKhwSlLa+++XAZs2VUpSmhwQ++CDeePGXQRKSmolyfTJJynA\n55+flCRTTk4FMGnS5rvv3ggUFlZLkmnFimPAypXHJMlUUFAN3H33xnvv/QLIza2UJJNsefzkkxSj\ncd69996yZ8+k9evTWrRYOHPmjv37syXJtHFjGvDBB8mSZJKzb0eNWvvQQ18DZ85kSlLbLVv2AAsX\nrpKktlVVNcDQodMeffQVIDX1nCS13b79APDGG8skqW1tbb0QYuDAqU888Tpw5MgpSWr7/feJwCuv\nfCRJbS0Wq9PpjIt74Omn3wKSkk5KUtt9+w4DJtPi3r0n2Wx2u93Rp8+k555bBBw4cESS2h48eAyY\nNeud2Nj7HQ6H1WqTpLYvvvgBsGdPpiSZUlLygZkzdwwYsFIIUV9vlyTT668fyM2tHDJk9eHDeWZz\nLTBjxreDB3+G67Mr0zvvHORSb7mc4vzww9+MGPE5UFnplKS0xYtLgc2bqyQp7fx5KzB+fG5GhhUo\nLXVIUprsiZTf4XJA7333MX48QFERkuTalrR+K/H3kl8EMPGf3PM4QF4hUhNWfwmwbBtSH8zlAFPe\nIDUDIKsQqY/L8vjhHqTJlNUAjH6XqZ8CrE1k3xm+PAKwKBHJRKUFYNgaHtkKcMqMZGLbWb7Px02J\ntJwaO8CgnTyeBHCsFGk53+UBvJqNtIdqB5n1TDvDk7L/sgppD+082bx58zV/ym/M33Ea2F5VxeLF\nxMfz0EPwu9leIklpdXVCCOLjs2fOLARSUuolKW337hrgpZeKe/TItFiE08lDD+Xb7SQnN23Xzq1r\n14y2bc9PnZp/xx0Xe/TIvE62S1KavBtq9+4aSUo7cqQeeOKJwvj4bCGoqxP/UbafkiSTnM7+4INf\njRu3nv8C2yXJJEfX33HH+gce+MpgcBs8uMUPP2Tp9W4m057Wrd+VJFNBQRWXsb1Ekkxy+8fChYmS\nZJKd+n8e23fFxq5wOJxWq0OSTC++uJcrsX3NmpMjRny+du1Jg8FNqVTs3HlekkzyZoDfw3aLJJkW\nLz4EbN6cLkkmOb59ypT8MWMucjnbP/mkfPny8sBAFXDffXnjx+cCRUV2SUpbvrwc+OwzJIn8fICJ\nE7lH9jTmIUnMm0dMDMuWIUmYzQB3PsL9TwFk5SI1Yf1WgA9Xc8/jBAcCjH6OqW8CnMtF6sOXBwAW\nbeLt9WjdAYYt4JFVAKfykCaz7Tg1VvZkIpmosQIM+ozHtwOcquDdU5exvd6JU5BYxawLAMkWpEza\nqf/6bFf92U/gf29sNtvJkyQkMHiwy/0SGkpoKIBeT2ysawk1KIhhw2T3y88Cg+FnQXAwI0eiViNJ\nhIRcJvD2BggJITgYlQqFgqAgl8BoJDbW1TwcEqIKDlYplZIkERSkCglRAUajMjbWUza3hIaqcnNV\nCgUqlTR6tEEWeHkpY2M9e/bUNmum0WikEycsEyYYd+2qDQxUffJJWUGBPSxM1bu3p+x+CQ1VyZUi\nbm7SkCH6oCC5aVkZG9sgUCsUkiwYNEgXECA3Lavi4jw9PSVZoNM5AA8PdXx884AAT8DPTxsX10xe\nQg0N1dtsTlnQv38zf38t4O/vOWBAc3kJNTTUoFIpAK1WHRfXTF5jDQjwjI9v7u6uUquVMTHh/fs3\n69Ah+MUX9wYEeGZklDudIiDAc/DglnLzc2ioPjBQB+h02tjYrrJ/JjDQd+jQ3vIKaUhIQGhoIKDX\ne8bGdpUXQIOC/EaM6KdWqyRJahAYDLrY2K7yAmhISMCYMf1VKqVCoQgO9r8k8GwsCAryUyoVkiQF\nBfmHhAQAXl762NiuRqMeCA0NDA4uUCgUkiSNGdM/JMQf8PZ2j41tKi8ghIYaiotrJUlSqxUjRrQW\nQowcufbpp7svX370kkAv70PSaJRDh7YKCtIBPj4esbFN5SXs0FCD/L6VT5DMa/kM6nQKh4O8PPuI\nEXrAw0MRH68LCFABfn7ExbnsMaGhrroNDw8GDMDfH7MZnZb+PVwrpKFByJ8Raj2I646/L4C/F/Gd\ncNcAVNQwuCuApztxt+NnBAg0MOhm3NQAod6u1usfTtOxCb46gCAdQ1q63C+hekL0ADoNsU3x8eCj\nbPoG46Z0uV9CPQnVAhg0xIbg7QZWgjWM9mdvOX28yKgn1A3AqCLWm0E+vLxp05QpU67jJ/7G/F3m\nF2xv2ZJbbyU5GX4321UjR+ovsV0VGqoGDAZFbKyrdl5Gt0olKRQEBalCQ1WSRO/e2thYz7feCrLZ\nxNy55vPnrf36Zd16q7vNhoeHxHWzvUFQVuaQJDQaafhwfXCwCvDxaYzuf43tHo3QbdDp6vmvsV0W\n6PUaQKfTxMY27dkz8rnnei1deuStt368666NYWEGm80hQ08WyAabwEBPOTSTP5Pt+uBgnUIhSZI0\nZkx0SIiey9leVWU9frzw/PnSb7+dMHHiJvl/4e3t0Qj+18925aBBLeTfcb6+jQUq+Z3TmO07d1bf\ncou7bI8JDVXV1QlZMGCAzt/fBf/+/fHwcL29XWzXEhfHuXPMnElxMfHxuLtDDaFBeHoAeGqJ646f\nN0CgHwG+3NwKLIT6u4Cv8yD2NnwNAEE++BmJDIB8Qr0J8QbQuRMbjY+OlDrCDAxvjeYS/EP1ABoF\nkbrL2K6SUEhoFQRqAIwKYj0Y5PHXZ/sNq8zvnu3bt//wQ/zLL//Zz+N3Lshez9hs4tChut27a/ft\nq3U6RY8e2v79dR07eij/M26a/7BV5oqTnV2xZEnKnj2Zgwa1mDz5FplljeZ/2CqTkpI/ffrWFStG\nyhuYfv9cYeV048bKtDTLnDn+v7rlWlaZJUughAfuuLoi8+cvC0qZ9g6b5l5V0DBC0GMe+55Bkn7D\nKmN1EPsRPwy8lqbhISaewhRFs18tCw/VDVm6dKm//6//7zfmbzpXZPv8+VRVMXfuVb7nCvMfI7Pd\nLo4cqT9woO7QobqcHJvRqLj1Vvd27dzbtNG0auXm5vanWGr+BKvM1SY9vXjVquPff5/RqpXv6NHR\ncXFN5Yv1RvP/zirjdIpNm04tWHCwU6fQmTO7yZfj/525AvAvXrRNnpy3c2fkNb/xqvCPiWH/fhQN\nRo3Mq95F97HsX38tQZ9/svvtKwse/4i7b+K2kF8e35fIzjzm3vrL77ozjQXNCdT8fHxou784228U\nMP3umT9//sSJh7VaTp0iOBjg7Fnq6zEYcDo5dAg/P1QqystJTycoCOD0aaxW9HocDpKS8PdHpaK0\nlDNnXIJTp3A40Omw20lKIiAApZKSEs6fJzAQIDUVwNPTJQgMRKk0m83mjAxzQIAZzCdPmhUKs1Zr\nttnMycnmoCCzQmEuLDRnZ5v9/c3gf/x4vUolabUKq1UkJ9cHB6sVCvLz7bm5Nj8/FXDsWL2Hh6Jl\nS7fOnT3atHF77DFflYpNm6peeaX422+rS0sdBQWOgAClu7uivl4cPlwfGqqWJC5etBUVubZhpaTU\ne3oq3NykujqRklIfFqYGsrNt8q4XSD18+LBef8rNLa2m5sTRo4dDQ89AalbW0bKyE97e6dA2KSnX\naHTXaPpVV+88frxQ/pQiI6OsstLi5eUOHDqU6+3toVYrq6osJ08WyYLz50traqxGo7sQ4vTp4jFj\nou+779bc3Mpnntn15ZfpKpVCCCFvw3I6Uw8d2uHnl6lSpZeXp6Sn/xAUlA1pp0//YLWe0OvPyQJ/\n/0yV6qayssozZzKDgvyA9PQMu92h02kdDkdS0smAAB+lUllSUn7uXHZgoC+Qlnbe6RQ6ndZudyQl\nnQwM9FUqFWZzaUbGxYAAX+DkybOSJHl6eths9uTkk0FBfgrFxqKipKysH/39MyHtxIndKtUprfas\n1epITs6TP60pKKjOyanw9/dcvvzoc8/tXrlyZIsWvhaL/fBhlyAvryovr0r+pOro0QJ3d5W7u6q+\n3n74cF5IiF6S1ufmHissPObrmy6fIK1W4e7uOkGhoeqEhMJp03xrapzyGTx8uF6vV7i5SbW15iNH\nXB8lZmVRVuZaBUpOxmBg3jym3cG5LEIDATJyqKjCywCQdBwvPZoaqmo5cYEQP9buxltHRCBGT4BD\n6XjrUVdTWUdqHsFeAOeKqLVyoYjcMvwN+OlQVVFezykzso3/TAn1dgxuOAWHcjleiEc97X04XUGQ\nB0B6BTaBXo1DkFRMgAfKCkptHK9hnZknwkmrwQk6JXZBUhWBGurGJqSnp992223/RVjcmP+puSLb\nO3Tgu+/IysLpvE62m0tLzWfOmIOCzOB/6pTF4UCnU9jtIimpPiBApVRKJSWO8+dt8vKXbFzx9HQJ\nAgNVSqVkNjsyMmxBQarQULVOpxg71jB9us+AAbqcHHttrdi+vebtt0sXLy7bsKFq377anTtrLl60\nWa0A6enWK7LdzU3y8FBYLOLw4fqQELUkkZdnz8+3+/oqgSNH6j08pOtj+8mUlMNhYWcgNTv7aHHx\ncR+f9KuwvW1WVnlZWZ23twfw77P90KFcX18PtVpZUVGflmYODtb7+WnDww3jx9/UuXPovn1ZTz65\nc/36tOLiWrVaWVRUExSkuwrb08vKDp8544J/evoPdvtJne6cw3EyKWlnQECWUnmqpCT53Ln9gYFZ\nkJaWttfpPKnTnbPbTyYl7QwMzFIqT5nNSRkZBwICsiDt5Mk9kpTm6XnWZjuRnLwzKChboZCKimqy\nsirkXaQnThSqVIr6evt77yU98MBXOp16wYKBMTHhZWV1suDYsQI3N6WHh/r3sF3Kza0sLKyWFxlS\nUvK1WrW7u6qubm1KyuHQ0DOSRE5Owy9fF9tnzSqaOtWnuNghrwJlZdnKylwBGMnJdQaDUqORqqvN\nx4654J+RQUUFXl4AGzZQVMTo0VRVceIEISFQzoVsqmow6gEOHcPbiFrNhRy27ube0VDOuVxqLRg8\nEYJD6fgZUeVQmM1n+7n/ZoAzBdTbMHjgFBzKwF/PugN0jyS/GvmPmvRibA70bpzK4kgJcaEutp+t\nc33QvjSfbkYCNNjLSLISqKTuwb862//gFJv/9XE4HF26dBGCp54CKCigcS32Tz8BfPDBL2qx4VKm\n2N69AMuWIYTLOtkQBzlihLzdG+CzzxCC++8HqK11pZKNHYsQfP01wIYNCMGECQAWCzKyJ0xACDZu\nBPjqK4TgjjsA7HbkyLD77vMSInrNmjBg+/YIIaJHjtQDTmd0dXVr4KGHvIWIXr48BNizJ0qI6CFD\n9EBRUSs5QDA4WDVnjv+sWX7Ajz82ESJ64MDL4iBnzvQVInrRoiDg8OGmQkTHxnrKgpycFsCzz/oJ\nEf3GG4HAiRPNhIju3dslOH/+MWDu3D5CiFde6QecOfOIXIvdo0ekEKZTp6YDr732i1psE9CnT5P/\nY+88A6Mo97d9zSbZTe8FUnfTWaoQOgSIkASSQApIVcGAdLCgiKjE8lex4LGjKCjoAWIDBekJ0kF6\nCZ0kSEggIb1ved4PMwkBaXr09Rzl94Vh8tuZyc7sNZt57ue+hUg7eHAC8NZbsUKkzZrVE9i/f7yc\nsO3t7bBq1Yht21KBDz6IEyLtsce6AkVFT8pbGDAgRIi0rVsfAj79dFDTWGzZU0yOxd648VNgyZJX\nfx2LLXuK/fjjfCA9fd7NYrG/++4dYMWKd4VIGzasFWAwPFdb+wwwenQ7IdKWLx8CrFkzSoi0lBQ9\ncP/9badM6URDLPbixUnApk0PCpE2cGAYTSzD5FjsBQsGAtu2PdTUr1O2g3z8cTch9O+/3xxIT/cd\nPtypXz/l/ZdjsWVDz3nzAA4dQgj69JFBQXY2wKxZ9O3LqzMBTmxCZAN0j0BkczID4JUnEZk8Pwbg\n3L9J7gnQux0iU0nAfnMSYhGzEwAuzFMcwfrqeT6Rd0YCvDcKkcaMbgCXnlAcwfqHINLYngrQw5/D\ng5jaAprYQSb4IUYr01U/bxKLnabF3Bsg2QPRm7VtAJbpKSgoiI+P/4uBcrf+a+oWbK+vp3t3+D1s\n1wOJiQ5C6NevDwC+/NJHCH1qqjNNrH6HDHEUQr9qlT/w9de+QuhHjXKiiR3kqFFOQui/+cYX+P57\nPyH0Q4c6yls4ejQI6N7d9umn3bt3twXatrW+9147WRvz/PMeH33UHBg61PHSpdBfs73R6nf6dFch\n9HLzH8T2tN69tTKd/gy2X7z4uNzQr1+QEGm7d48DXn+935dfpsizV1NT28ss/RXb0yZP7gSUlj4l\nb2HQoHAh0jZufABYsiRZiLRx4zoAVVWzTaY5QEqKXoi0H38cCaSnDxEiTfYjrq19xmB4DhgxorUQ\nad99NwxYsWJYU7ZfvvwkoNO5dO/uP25c++vYbjLNqaqa/bvYftWvU7aDfPzxbkKkyWyXzZqvY/vY\nsc7JyY7z5nkBhw4FCqHv00dpyM4OAdLSPITQy64bJ04ol3f37gjByZMAI0YghJI/c+6cAv/eXRDZ\nHF4L8OZsRDZD4wEu7FTsIPt2QGSy9yOA96YjFpEaCXDpbQX+/dsgFrF9NsCCMQwIYUIENLGDTAhD\npPHiPdezvaKnwvY4N0Rv1noBLPP4+7P97hP331a7du0qKyuLjd0VEkLr1vTsCdCtG3374u+Ppyd+\nfiQlYWdHaCjt28ux2HTqREwMvr54eeHvz6BB2NoSGkrHjnTsiCQREUH//vj44O2Nnx+DBmFjQ1gY\nXbvSvj0qFe3aERdH8+b4+ODvz8CBWFsTHk7PnrRti4UFbdoQH0+zZvj6EhBAQgIaDWFhREXRqhWW\nlp56vWbgQAdPT0s/P6uAAKv4eAe1WgoL00RH2+n1GrVaCg/XDBzo4OFhGRBgpdWq4+IcrKyksDBN\nXJx9+/bWERE2ISHqJ55wd3e3OHSorqLCfOWKycpK6tvXLiXFMTRUbWenCgxUJyY6uLpa6HTqwEB1\n//72KpUUEqIZPNgxOFjt6Gih1VolJTm6uFgEBqpDQtQxMfYqFcHB6uHDnYKC1M7OHfz9nZOSwp2d\nY4OCDoeFuffrFyhJUp8+2l69tDqdi6urjb+/U1JSC0dHTXCwa4sW7n366CRJiowM6NNHq9U6yw9g\nkpJaODhoQkLcWrXyHDAgtGfPgO7d/SIifA4fvvThhz/7+Tl16uQbGurWsqVnu3bNu3XzAzp39omO\nDvLzc/LysvPzc0pMDLe1bRcaqo2IaNm5cxugY8dWsbE9fHy8mjd39/f3HjQoysbGOixM16VL2w4d\n9JIk3XNPi7i4SFku6e/ffODAKGtrTXi4rkeP9nIsdtu2YXFxvZo1c/f1bSanXms0Z8LD3fv00bZu\n7WVpqWrZ0iMhIczLy97Pz0nOLbewkE6cKLp0qXL27MjJkzu1aOE+cGCYh4ddQICzVuscFxdqZWUR\nFuY+YECIHIsdGuo2aFCYu7ttQICTHGxuaXk8NFQ9cKBDaKjG1lYVFKROTHRwc7PQatWBgeoNG6qe\neMKtZ0+7lBTHkBC1g4NKp7NKTHRwcbEIDCwMDiY2FpWK4GCGDiUoCCcnAgIAWrZkeD9CA+nXA0ki\nqhuRnQj0x8UJf2+SYnAyEexDuD8dw1m8nk+foHc7tM1wd8LPk6SeONQT7EkrH3qFA/QI5V49H23m\nrRFo3Ulsj30toW609aKHP0AXX/oF4eeElz3N7NmXzzMtCXWigzudPQA6uRPjg68dzW3wt2eQP7aV\nhNqws5zXg3C0pL09A9zw1uCtxt+age64T3190aJFycnJalmtfLf+2XULtmu1JCWxahWRkbRr95vY\n7hERYd2/v72Pj5W3t5Wfn9WgQQ42NqqwME3Xrjbt21urVLRrZx0X59C8uaWPj6W/v9XAgY7W1lJ4\nuKZnT7u2ba0tLKQ2bTSyBt3X1yogwCohwUGjkcLCNFFRdm3bWnt6Wur1mjFjnIcPd0pJcQwIsHr7\n7WapqS5t21q3aqVp08a6tlZoNJJaLa1eXbltW7WNjernn2u//77C1laKiLCprpBi7J8AACAASURB\nVDbX1orWrTXDhjl5eFhqtWqdTj1ggL2lpRQSok5M/E/Y3jI42HX48FZBQa7OztZ/ONsjI7VA9+5+\nffsG+vs7eXra+fk53Xdfy65d/eLiQtq0aZaQEHb06OWysrri4urMzJy6OlPbtl7JyXo3N9vQULeI\nCG85h7tjR+/Y2GAfH8fmze39/Z0HDQq3sbEKC3Pv0sW3QwdvSZLuuadZXFyIt7eDj4+jv7/TwIHh\n1taW4eHuPXoEtGvXTKWS2rb1iosLbdbM3tfXMSDAKSEhzGQSBoNJo7H46KN933xzvEsX31mzerzy\nSt9evbQy29Vqi7Awt759A1u29LSysvhdbFeFhroNHBgeGupma2sVFOSSmBju5mar1Z6WT5CFhRQS\nomlku1ZrtX591fz5zdu3tw4OVsfGOsg336FDHYOC1E5OFgEBVomJjs7OFkFBhaGh9OuHJBEVRWQk\ngYG4uLB8OR9+iLs7wcGEhxMVhVRGr8707oLWF3cX/LxJisHBnoyd3NuN5FgopUdr7m1PgBceTvh5\nktgD+zoKyrDT8GAPgC5B9GuJnytejvi5ktief2/n1b508EbOSe/kQ0wQvo6c/gVnNVNbKGzv7EiE\nAxKsL2G2PzobvCvxt2SgLe7P/M3Zflfj/lsqR5r1GjGR/GshFhZ0bkf3DnRsi7rR0kj7Fx7cH1h3\npNE8e7Z+xYqKjIwqBwdVQoLDgAH28ojbH1HHoGXD8h+c133s2OXVq09nZmZbW1v27x8SFaX7vZLx\nP7dWrTr1yitb4+NDH3mky52lfzetW4Vdy5WTY5g8OX/1av8m625jASlXfDyffEKz2ltvXfl3eSZ5\nRTz2a6FpzvUrjuXx5loWpjb8/2Ya9xy+zuF0ObPa3GbXQLGBYVmsb3vThjfK0FmRYvv3j8i+W7ep\nBrb37tJkpfaaFqORSZPw9uY/ftj1x09P+q1VWmrKyzPm5hqys+tzcgzZ2QY5rtvNzSIsTNOihbpF\nC41er/kTzIL/RLbfoi5erNi37+L+/fmHD18qKqp2cNDo9R46nbNO56LVOgcEOP12xl4to9Gcm1t6\n+nTxqVNXjh8vzMoq1GgsIyK8u3Xz691bK88T/ZPr9sBftKg0P98oj5bfrm5wIzhyhDffVCzFrlbO\njV/fdxSrF6JR36Qhh5dXcY8//a9jeAPz+3xG5ugb7OLd43jbkhJw/WYTjrBUj73FP4jtd+0gf0NV\nVvP5N3i4suJjxg5l+z6+W0fsg4RGkTyBdVvIy2PSJM6cAdi2jSeeUAabXn9dUbAUFzNpEjk5AJmZ\nPPWUsuVXXlFyswsLmTiRX34B2LiRZ55RGl54QXEiKyhg4kQuXgRYu/bqLeS551i3DiAvj4kTuXQJ\nYNUqXnpJaXj6aTZtAjh/nkmTKCoC+O67q270M2cqo73nztVPmpRfWmoC0tPL5WBtIZgx49L27dXA\nqVP1kyble3hYPv6428iRTq1aaSoqzMOG5Wm1p2fPvlxWZj5+vG7y5PzqajOweHGZbEFoNIrp0wv2\n7asFjh6tmzKloLZWAAsXln78cQlQXy+mTi04eLAWOHiwdurUgvp6AXz00d6FCw8AtbXGKVN+PHr0\nMrB378Xp09cYjWbg/ff3yEZjVVX1kyevPn68ENi9+8Kjj66VY7HffnvX0qVHgPLyuvff/zkpKXzN\nmlETJkSsWnXq9de3R0Yuioj4eOrUHy9erCgpqZk0abVsdvbTTzkzZ26Q35xXX922YsUJoKioeuLE\nVefPlwGbNp2bPXuT3PDiiz+tWnUKuHSpcuLEVXl55cC6dWeee04Jbk5L27x27Rng4sWKiRNXyW5o\nq1efkm3CgNmzN23ceM5kMn/22UE/v3nff39i5crhLVp4yC5gwFNPbdy8OQfIzi6ZNGl1cXEN8PXX\nWa+/vh0QQsyYsV4ONj99un7SpPyyMjOwbFm5nHxuNvPoowW7dtUAJ07UDRx4fvJkV2DJkrL33isG\nTCamT1c8NI4dY/JkxUxm0SLmzwcwGBg3jitXaNaMQ8eZOod6A8CCZXy6HKCunilzOHISYP9ppr3L\nNz+R3JMPV/L5OoDqOib/i6xcgD3neOTfmMwA72zgue9IiaCilslLOFUAsOMXHl+HWQC8uYP0YwCl\n9Ty1jy4eAFsu8eReJVh77hG+zQW4YmDSKXJrAV7MxaqBcP+Xyw9XAC6bmHiFC0YAFxUvlHK37lYj\n24FdB3jsJUXB+NZbLFsGUFbGtGnMmEFpKQ888J+zveqZZy7LDS+8ULh6dSVQUGCcODH/4kUjsHZt\npWwBCTz3XOG6dZVAXp5x4sT8S5eMwKpVFS+9VCQ3PP305U2bqoDz5w2TJuUXFZmA776rePVVpWHm\nzEs//VRNE7Y7O1scO1Z3/Hjd5Mmur73mpdVavfmm165duhdf9LxwwaBSSWvWVMbGng8KOjNgwPmZ\nMy/3738+Pb1cCP6b2T5p0urTp68A27efnzFjvfxQ8o03dnz11TFvb4cePfwvXap6443on34aM3ly\nx4KCSjc328OHL40ZsyIyclFU1Oc9ey7Uat9KTFw2fvwPw4d/3bv3Z3Pnbvvoo72DBi2dMuXHjz/e\n98YbO3r0+PTJJzfMnLkhLu5Lvf7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ZfvM/i+7WtbV79+5ObXF3UZ7KBPgyqJ8S+R4UgL83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CHAqVMIQd++ABkZPNYFKh0/P50LcOGmARJakg8AvDMboWX+JIAvp/Ph5MqGOC6vAFgwBbGU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\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nsxtuCtZVsLuKL+pABmehDtQHEyRBF3CFfMiCjgCcgZ1QGx66Q4n/jnp2nGJoNwJa0LQe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LfftyvbySS9ieum1bDpCQUDx8eIKcdFku22NjGT5cqcH29VUyIoFBg4iMpEsXoqIYPpykJIAt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\nQydXuFQAAAAASUVORK5CYII=\n" } ], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 13. PCA a multivariate hypothesis testing" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "g = read.table('gorilas.txt', header=TRUE)\n", "sex = g[,1]\n", "g = g[,2:length(g)]\n", "g = as.matrix(g)\n", "\n", "M = array(0, c(8,2,59))\n", "for(i in 1:dim(g)[1]){\n", " x = g[i,][1:8]\n", " y = g[i,][9:16]\n", " M[,1,i] = x\n", " M[,2,i] = y\n", "}\n", "\n", "# permute data for easier plotting\n", "M = M[c(2,3,4,5,1,6,7,8),,]\n", "\n", "fplot = function(M, ...){\n", " for(i in 1:dim(M)[3]){\n", " if(i==1){\n", " plot(seal(M[,,i]), type='b', col='gray', pch=19, asp=1, axes=FALSE, ylab='', xlab='',\n", " xlim=range(as.vector(M[,1,])), ylim=range(as.vector(M[,2,])), ...)\n", " } else {\n", " lines(seal(M[,,i]), type='b', col='gray', pch=19)\n", " }\n", " points(M[,,i], pch=19)\n", " }\n", " \n", "} \n", "\n", "align_with_x = function(M, point1, point2){\n", " # rotate shapes so that mean landmarks lie on x-axis\n", " v = rowMeans(M[point1,,]) - rowMeans(M[point2,,])\n", " angle = atan2(v[2], v[1]) \n", " return(apply3d(M, function(x) rotate(x, -angle)))\n", "}\n", "\n", "PM = procrust(M)\n", "\n", "par(mfrow=c(1,2))\n", "fplot(PM, sub='Procrust')\n", "PM = align_with_x(PM, point1=1, point2=5)\n", "fplot(PM, sub='Procrust a rotace')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "Procrust error: 0.1448269 \n", "Procrust error: 3.802056e-05 \n", "Procrust error: 3.162222e-08 \n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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yXLzfVE0kSGWwDPXwfVYuOsqFJQZc5deaDjffhj+ct+ru6XOiSaJxX5RMHRp2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\nAAoCARQEAij+AHrhkXn8tj69AAAAAElFTkSuQmCC\n" } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000\n", "par(mfrow=c(2,2))\n", "fplot(PM)\n", "# mean shapes\n", "XF = apply(PM[,,sex=='f'], c(1,2),mean)\n", "XM = apply(PM[,,sex=='m'], c(1,2),mean)\n", "cplot(seal(XF), col='red', type='b')\n", "lines(seal(XM), col='blue', type='b')\n", "\n", "# extrapolation\n", "plot_extrapolation(XM, XF, 3, only_net=TRUE, col='red', kx=40)\n", "plot_extrapolation(XF, XM, 3, only_net=TRUE, col='blue', kx=40)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pzJqF1asRFOTIyAgAStxJaykpKcnJyWm51aNMJouMjPShb9wcxFY2ExISkpub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\nWPj+++9LkjQ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} ], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 1000 -h 400\n", "# helper function to substract means\n", "center_mean = function(x, mu=NULL) {\n", " if(is.null(mu)){\n", " mu = colMeans(x)\n", " }\n", " x_mean = rep(1, nrow(x)) %*% t(mu)\n", " return(x - x_mean)\n", "}\n", "\n", "# confidence ellipsoid\n", "confidence_ellipsoid = function(d, alpha=0.05){\n", " n = dim(d)[1]\n", " k = dim(d)[2]\n", " \n", " # svd\n", " S = cov(d)\n", " eig = eigen(S)\n", " \n", " # ellipsis length\n", " ds = sqrt(eig$values * (n-1) * k / (n-k) * qf(1-alpha, k, n-k))\n", " \n", " # non-rotated ellipsis\n", " a = seq(0, 2*pi, len=100)\n", " x = ds[1] * cos(a)\n", " y = ds[2] * sin(a)\n", " M = cbind(x,y)\n", " \n", " # rotate it to direction of eigenvectors\n", " M = M %*% t(eig$vectors)\n", " \n", " # add means\n", " mu = colMeans(d)\n", " M = center_mean(M, -mu)\n", " \n", " return(M)\n", "}\n", "\n", "# show two componenta\n", "sc = function(T, i, j, evals, category){\n", " T = T[,c(i,j)]\n", " \n", " xlab = paste('PC', i, ' (', round(100*evals[i], 2), \"%\", ')', sep=\"\")\n", " ylab = paste('PC', j, ' (', round(100*evals[j], 2), \"%\", ')', sep=\"\")\n", " \n", " color = rep(NA, length(category))\n", " color[category == 'm'] = 'blue'\n", " color[category == 'f'] = 'red'\n", " \n", " lim = max(abs(T)) * 1.2\n", " \n", " plot(T, asp=1, xlab=xlab, ylab=ylab, col=color, pch=19, xlim=c(-lim,lim), ylim=c(-lim,lim))\n", " m_male = apply(T[category == 'm',], 2, mean)\n", " m_female = apply(T[category == 'f',], 2, mean)\n", " \n", " points(rbind(m_male, m_female), pch=10, cex=3)\n", " \n", " legend('bottomright', legend=c('male', 'female'), col = c('blue', 'red'), pch=19)\n", " \n", " # highlight zero axes\n", " abline(h=0, col='grey')\n", " abline(v=0, col='grey')\n", " \n", " # confidence ellipsoid\n", " lines(confidence_ellipsoid(T[category == 'm',]), col='blue')\n", " lines(confidence_ellipsoid(T[category == 'f',]), col='red')\n", "}\n", "\n", "\n", "pca_scores = function(D, category){\n", " # center matrix\n", " m = apply(D, 2, mean)\n", " D = D - as.matrix(rep(1,dim(D)[1])) %*% t(as.matrix(m))\n", "\n", " # covariance matrix\n", " Sx = cov(D)\n", "\n", " # eigenvalues\n", " f = eigen(Sx)\n", " evals = f$values\n", " evec = f$vectors\n", " \n", " # explained variance\n", " evals = evals / sum(evals)\n", " \n", " # skore\n", " T = D %*% evec\n", " \n", " # show components\n", " par(mfrow=c(1,3))\n", " sc(T, 1, 2, evals, category)\n", " sc(T, 1, 3, evals, category)\n", " sc(T, 2, 3, evals, category)\n", "}\n", "\n", "flatten = function(PM){\n", " D = rbind(PM[,1,], PM[,2,])\n", " D = t(D)\n", " return(D)\n", "}\n", "\n", "D = flatten(PM)\n", "pca_scores(D, sex)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JkrFsGTNm4OjIunWJfLuqJO4mzM+PnTvZu5egIOzt6dCBuXOxsFA7LJ2kSkXfvvTuze7d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W8yYsgQcT0XYPx4IXrMmZNt2+jShYULadRIiB51iaAgFi5k4EAOHtSnt1imxjDMDRgwkJWpWpXN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\nAAAAoAAadwAAAEABNO4AAACAAv4PpV1kteGz2WMAAAAASUVORK5CYII=\n" } ], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R -w 800\n", "pca_reduction = function(D, components=c(1)){\n", " # centered matrix\n", " mu = apply(D, 2, mean)\n", " D = D - as.matrix(rep(1,dim(D)[1])) %*% t(as.matrix(mu))\n", "\n", " # covariance matrix\n", " Sx = cov(D)\n", "\n", " # eigenvalues\n", " f = eigen(Sx, symmetric=TRUE)\n", " evals = f$values\n", " evec = f$vectors\n", " \n", " # PCA score\n", " base = evec[,components]\n", " Y = D %*% base\n", " \n", " # back to original basis\n", " X = Y %*% t(base) + rep(1, nrow(Y)) %*% t(mu)\n", " return(X)\n", "}\n", "\n", "X = pca_reduction(D, components=c(1))\n", "\n", "# transform back to 3dim\n", "M = array(0, c(8,2,59))\n", "for(i in 1:dim(X)[1]){\n", " M[,1,i] = X[i,1:8]\n", " M[,2,i] = X[i,9:16]\n", "}\n", "\n", "# extrapolation of original coordinates\n", "par(mfrow=c(2,2))\n", "plot_extrapolation(XM, XF, 3, only_net=TRUE, col='red', kx=40)\n", "plot_extrapolation(XF, XM, 3, only_net=TRUE, col='blue', kx=40)\n", "\n", "# extrapolation of new coordinates\n", "MF = apply(M[,,sex=='f'], c(1,2),mean)\n", "MM = apply(M[,,sex=='m'], c(1,2),mean)\n", "plot_extrapolation(MM, MF, 3, only_net=TRUE, col='red', kx=40)\n", "plot_extrapolation(MF, MM, 3, only_net=TRUE, col='blue', kx=40)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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X6/f29sBhiCAIn88nuGn5/X7BkmXuImYwGISPptfrYTVzcnISGrrNzMzALdNq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\n8/kgpDQ4OKhUKpuammABEQqFp0+fvnHjxsTEhFKpPH78uFwuhy5MaD//+c9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CHNvb8WvX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} ], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "hotelling_test = function(X,Y,comp){\n", " D = rbind(X,Y)\n", " \n", " # matrix centering\n", " mu = apply(D, 2, mean)\n", " D = D - as.matrix(rep(1,dim(D)[1])) %*% t(as.matrix(mu))\n", "\n", " # covariance matrix\n", " Sx = cov(D)\n", "\n", " # eigenvalues\n", " f = eigen(Sx, symmetric=TRUE)\n", " evals = f$values\n", " evec = f$vectors\n", " \n", " # score for mean difference\n", " r = (colMeans(X) - colMeans(Y)) %*% evec\n", " \n", " # statistic\n", " n1 = dim(X)[1]\n", " n2 = dim(Y)[1]\n", " s = min(dim(X)[2], n1+n2-2)\n", " Th2 = sum((r^2 / evals)[1:s])\n", " \n", " cat('Contribution of principal components into statistic:\\n', r^2 / evals, '\\n')\n", " \n", " Fh = n1*n2*(n1+n2-s-1) / ((n1+n2)*(n1+n2-2)*s) * Th2\n", " \n", " p_val = pf(Fh, s, n1+n2-s-1)\n", " \n", " return(1-p_val)\n", "}\n", "\n", "p_val = hotelling_test(flatten(PM[,,sex=='m']), flatten(PM[,,sex=='f']))\n", "cat('p-value of Hotteling test ', p_val)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "Contribution of principal components into statistic:\n", " 2.111833 0.5542956 0.0006460684 0.07493997 0.5802357 0.0276503 0.02825453 0.00345909 0.02343099 7.929654e-05 0.01540087 0.01534201 0.004033227 1.306697e-16 -2.746089e-15 -8.845693e-15 \n", "p-value of Hotteling test 0.01420651" ] } ], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "because p-value is $0.014 < 0.05$, we reject hypothesis of identical gender dimorphism. The greatest influence on testing statistic based on $T_H$ has first component followed by the fourth and the second." ] } ], "metadata": {} } ] }