{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Active Contours using Level Sets\n", "================================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This tour explores image segementation using level set methods." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n", "\n", "\n", "library(imager)\n", "library(png)\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n", "}\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n", "}\n", "\n", "source(\"nt_toolbox/toolbox_wavelet_meshes/meshgrid.R\")\n", "options(repr.plot.width=3.5, repr.plot.height=3.5)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Managing level set functions\n", "----------------------------\n", "In the level set formalism, the evolution of some curve $ (\\ga(t))_{t=0}^1 $\n", "is computed by evolving the\n", "zero level of a function $\\phi : \\RR^2 \\rightarrow \\RR $\n", "$$ \\enscond{\\ga(s)}{ s \\in [0,1] } = \\enscond{x \\in \\RR^2}{\\phi(x)=0}. $$\n", "This corresponds to replacing the parameteric representation $\\ga$ of\n", "the curve by an implicit representation. This requires an additional\n", "dimension (and hence more storage) but ease the handling of topological\n", "change of the curve during the evolution.\n", "\n", "\n", "Discretazion size $n \\times n$ of the domain $[0,1]^2$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "n <- 200\n", "grid <- meshgrid_2d(1:n, 1:n)\n", "Y <- grid$X ; X <- grid$Y" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One can create a circular shape by using the signed distance function to\n", "a circle\n", "$$ \\phi_1(x) = \\sqrt{ (x_1-c_1)^2 + (x_2-c_2)^2 } - r $$\n", "where $r>0$ is the radius and $c \\in \\RR^2$ the center.\n", "\n", "\n", "Radius $r$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "r <- n/3." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Center $c$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "c <- c(r,r) + 10" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Distance function $\\phi_1$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "phi1 <- sqrt((X-c[1])**2 + (Y-c[2])**2) - r" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 1__\n", "\n", "Load a square shape $\\phi_2$ at a different position for the center." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "source(\"nt_solutions/segmentation_3_snakes_levelset/exo1.R\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the curves associated to $\\phi_1$ and $\\phi_2$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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mEuFbb2d3bGwW5VT0/qNjt98CGNmYvqta51EYAqkO3GH6muIgS7XEtFopVnz8aF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\nw5xe6JkzZ+eqVXcdOiQiDx848PzNN59ubZVKUl3m515LpZKZ55J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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "par(mfrow=c(1,2))\n", "\n", "plot_levelset(phi1, lw=2)\n", "\n", "plot_levelset(phi2, lw=2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 2__\n", "\n", "Compute the intersection and the union of the two shapes.\n", "Store the union in $\\phi_0$ (phi0)\n", "that we will use in the remaining part of the tour." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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0mA4cJWMHjiEc0nvaVOSlqGM9bzJw4R7HLHHaFsGjs7r/vXfw3n0N3cfN+HP9xX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Wt8ntJVcA2Uyg65q/hvURgEO2TzH1tOqXR6ypThXhz8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\nCoJgBwAAUBAEOwAAgIIg2AEAABTE/w8ZiedhNq94jAAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"Intersection\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/segmentation_3_snakes_levelset/exo2.R\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Mean Curvature Motion.\n", "----------------------\n", "The mean curvature motion corresponds to the minimizing flow of the\n", "length of the curve\n", "$$ \\int_0^1 \\norm{\\ga'(s)} d s. $$\n", "\n", "\n", "\n", "It is implemeted in a level set formalism by a familly $\\phi_t$ of\n", "level set function parameterized by an artificial time $t \\geq 0$, that\n", "satisfies the following PDE\n", "$$ \\pd{\\phi_t}{t} = -G(\\phi_t)\n", " \\qwhereq G(\\phi) = -\\norm{\\nabla \\phi} \\text{div}\n", " \\pa{ \\frac{\\nabla \\phi}{\\norm{\\nabla \\phi}} } $$\n", "and where $\\nabla \\phi_t(x) \\in \\RR^2$ is the spacial gradient.\n", "\n", "\n", "This flow is computed using a gradient descent\n", "$\\phi^{(0)} = \\phi_0$ and\n", "$$ \\phi^{(\\ell+1)} = \\phi^{(\\ell)} - \\tau G(\\phi^{(\\ell)}), $$\n", "where $\\tau>0$ is small enough time step.\n", "\n", "\n", "Maximum time of the evolution $0 \\leq t \\leq t_{\\max}$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Tmax <- 200" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Time step $\\tau>0$ (should be small)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "tau <- .5" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of iterations." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "niter <- as.integer(Tmax/tau)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initial shape $\\phi^{(0)}$ at $t=0$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "phi <- phi0" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We now compute the right hand side of the evolution equation.\n", "\n", "\n", "Compute the gradient $\\nabla \\phi$. We use centered differences for the discretization of the gradient." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "g0 <- grad(phi, order=2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Norm $\\norm{\\nabla \\phi}$ of the gradient." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "eps <- .Machine$double.eps\n", "d <- pmax( eps*array(1,c(n,n)), sqrt(apply(g0**2, c(1,2), sum)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Normalized gradient." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "g <- g0/array(rep(d,2), c(dim(d),2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The curvature term." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "K <- - d*div(g[,,1], g[,,2], order=2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform one step of the gradient descent." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "phi <- phi - tau*K" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 3__\n", "\n", "Implement the mean curvature motion." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": false }, "outputs": [ { "data": { "image/png": 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8TjrefPA4AnxJru7rQQ5zPvMVInGvd8aB/hDLa/9FBkW56gbXd018JRqD+zw+SX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N2zj+v1mT1f9rh6dXZo23M+Nh67rk0jqf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\n339fFQqZQuH2L7748P77ZYvyvW68nWwyciMv8E2tWxXJn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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "source(\"nt_solutions/segmentation_3_snakes_levelset/exo3.R\")" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Edge-based Segmentation with Geodesic Active Contour\n", "----------------------------------------------------\n", "Geodesic active contours compute loval minimum of a weighted geodesic\n", "distance that attract the curve toward the features of the background\n", "image.\n", "\n", "\n", "_Note:_ these active contours should not be confounded with the geodesic shortest paths,\n", "that are globally minimizing geodesics between two points.\n", "Here the active contour is a close curve progressively decreasing a\n", "weighted geodesic length that is only a local minimum\n", "(the global minimum would be a single point).\n", "\n", "\n", "Size of the image." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "n <- 200" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "First we load an image $f_0 \\in \\RR^{n \\times n}$ to segment." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "f0 <- rescale(as.matrix(load_image(\"nt_toolbox/data/cortex.png\", n)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Given a background image $f_0$ to segment, one needs to compute\n", "an edge-stopping function $W$.\n", "It should be small in area of high gradient, and high in area of large gradient.\n", "\n", "\n", "We use here\n", "$$ W(x) = \\al + \\frac{\\be}{\\epsilon + d(x) }\n", " \\qwhereq d = \\norm{\\nabla f_0} \\star h_a, $$\n", "and where $h_a$ is a blurring kernel of size $a>0$.\n", "\n", "\n", "Compute the magnitude of the gradient $d_0(x) = \\norm{\\nabla f_0(x)}$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "g <- grad(f0, order=2)\n", "d0 <- sqrt(apply(g**2, c(1,2), sum))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Blur size $a$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "a <- 5" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the blurring $d = d_0 \\star h_a$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] 21 21\n" ] } ], "source": [ "d <- perform_blurring(d0, c(a), bound=\"per\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Parameter $\\epsilon>0$." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "epsilon <- 1e-1" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We set the $\\al$ and $\\be$ parameters to adjust the overall values of $W$\n", "(equivalently we use the function rescale)." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "W <- 1./(epsilon + d)\n", "W <- rescale(-W, 0.1, 1)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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2fPnp/8yZ/cptv39NNPHz161G63b7nP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gcHl5SaIgIwlb17tQh6QBWMHmCQoKGUxp\njiDNKo5PJwwQw4pFzqfRaCCn2NraYlCAyoFMBe2PT6QkJunRPOP0uNh8Pl+tVhGF0PM7Pj5+\n9uwZZpm8Eow7mUyUznjYnVC4cqXQENPpNDAUkgwJlpsGEkX7xSCbFI1yFlnudDrl9orRDI0A\nZi+ASExPyJy+m93rCB/Y3aCgBx4MBkkZAb00LBgMsgd2Pp/D2MXvN5lMsj1QJO4B7T/O/AKo\nJw052Huutik2TVPpll4kEsEkj6ed7pdSimwornWBQGAymbRarUKhYJom3DWl90bQiuPtmJVQ\n4Eqak+2HFLuWZZ2enl5dXSF2I4lILY62V2kmL2NlTng+n5fL5a2treFweHl5SVLmLwQpT/5C\n4COKZg3JCKPtUCjU7XYHgwHD7kaj8eDBg1//+tcnJyeO40QikXa7bRiGZVlIz3K5XDKZHI/H\nfo7zw4+XC+8cFtAAxRbrdb7gBWQ54dry4EupyTNOlhD3OzSkfC2udUgoyIegJeYVYpApVSKN\nMaXUZDKxbRsDKYrVeDxeLpe3t7dxNuG/MDRENrFer1FReMfKshGnVCoxtFVKDYfDq6ur4+Pj\ni4sLJrAgM1cHJGkoK+l0mpQF7OPa4dIkEgkBuEqpVCpVKpUqlUqlUikUCrwF5CdGx8K6Jr0j\nKaPzJ+paJuCr1Yo/EEgxfJrdKw8f2N2gIAsIMY4kBb5ZLBbD4ZC9XrAxisXi7u6ubds0nMSl\niS+UUowyKd14kuG1iK/6xsZGvV4PhUKtVkspRd2JxkLpAQedtqBefYMNyuXlJXZTspwRexEq\nYEph13URXoA7pV4U9DmbzUajUbvd7vf79NiAgKQh76fTg2RkwGk0Go2trS3btj/55JOrqysK\nVoQOmMWAawUR4uqyu7t7enr65MmTVquF15RhGExgc7ncwcHB3t7exx9/bNt2oVCwLGs2myWT\nydFohLLY10/44ccfGEgEkCbgrwaMQEF1fX3NNkVyFy00kkMgEMhkMrVajaJX/NtkBCkyUqrZ\nfD6fy+Ugb4BgqJkh56H04lAyuuVl1M9kDyzlKAir1SryVYxRBFF5hbFSDEsEg0HTNGmhiWtx\np9PpdDqDwYAUB7QSzxdwWzab3dra2tjYyGaz7Aci93phLugNzlylUtnc3KxUKmJ9zEB5Mplw\nVwmlFDcNEs56vR4Oh4PBoNvtWpYV1Ot3XddFWSzUF7+gfbXhA7sbFIwyBdPQcpN0Mx6PK5XK\n/v4+ylPXdXd3dy3LajabdLaEFae0nzhsM6UU3kjFYhE2Ll03x3EajUa1Wm02m1dXV17fdpKm\nCNPIOGu9Lno8Hp+cnMAdaTQaMtAMenxBOR/yOB21tcdFkwnIbDYbj8e2bWPRKelDyCJ86Hg8\nDoVCaEFc193Z2dnd3T07O/v4449brZacW6fTWa/X9Xp9tVrhNkwiK5VK9Xp9f3/fNE2MiKmk\nYQcahjEcDofD4de//vXNzc1wOPzixQtmQ9T0nEkmk2HNmtwlP/zw4/eKgGcpAlZz0uhipEix\nB9EWRQIdOwYXqVSqVquB+aLRKAWh1MA0vRgmogYj6VFYrvTaLs4Epgc0EgzYlVJiF0cV3Wq1\ncrkcgxFGk+Vy+fLyst1ui+6eClaSnugwQHVU5t49E7PZzHEcy7JwaOLkaaFRjcOHLhQKOKjn\n83mxFx4Ohyh5SbZKKYYkmUwml8ttbm6i0vV6PiM3wV5AeI2gUrL6fD7v9XoXFxetVuv6+jqb\nzWJTKv1CPsKnoLzy8IHdDQoYZqwyRAcQDAZlFaBSKpVK7e3tNRoNqr1qtfrOO+88evTo9PQU\n8MQgFVkZxDLYZkxRp9PpYDCIRqPb29vf+MY3bNs+PDzMZrONRqPb7V5cXNAqQ3XBdEPMhDk4\nqyBc12WtqmVZGxsbSKhIFiAhmZKQ4FChkgGVrq3xT8JTVEYDrmc1EFmYVh9dw8Visbu7+/77\n7yulPvroI0RkkIJxZiF7YvLO0e7fv3///v1ms/no0aPFYsGNYtgNMEV4i8wtnU5XKhVewxw8\nFovN53MUvqwS5+b44YcfLxHSVAMDSZagdgVU4XtCSymgw9UGv8xq2VKPpoGJJDlK3H15F9sX\nxMROKk8KV2YjaBckxzK3RQN7eXlZKBSgYeCBglM61Oe1J9zfjbU2Q06lUpB6GZtMp1PLsizL\nQs8hrBWlZXN8CqNbdqYxxOj3+1dXV2dnZxTA5PNQKMSminq9Xq/XuTl48jGT6XQ6V1dX7LwW\nxjZkRM6ZI19cXDD3CAaDqGVdbTcDsPM7dq88fGB3g0JmBCG9ylppZit5MJvNViqV6XSKLUgk\nEqnVanBKms1mv9/n0SWzMGKQkS6i2rOzs+Vymc1m79+/n0gknj59WqvVvvWtb0FwEctizme9\nXkO8A7oJgY+WG4ot4SMzkkgkEkw9RFQl5+AlalBDs4dxOp1CLoSqAleXdzGDQPlLO3NnZ6dQ\nKDx79gy74Ol0ivhDKUWtSTUcCoXy+fxXvvKV73//+0qpw8PD8/Nzxj3C+SPB0a7Dn+XOnTs7\nOzuffvppv9+vVCpcLFkS1BiLxRjf/NF/Nfzw40sSUr/RMufhoo1EouC5k9EktGAeOhKLzAHQ\nxff7fTYN0mfCpw0UxTyXzn1QByQ/Pnc4HJIHlHZO5i3IKSzLarfbjUYDjxKYbcBB+lg09Tlz\n/lckHUAo+mSc0ng8HgwGrPDBaYUsLbIw5GhcAtkMHcZ0OnUch321kP+4M0optB3lchmnOq56\nNBr1+/1ut3t5edntdpVS3mmM/HWIxWKcvGh+p9PpbDaD+0j7UyC4H682fGB3s4KnHZSz1GtV\neZIRdS4Wi1/+8pe//e1vF4tFOp3+zne+U6/XI5FIsVjERq7dblNjKaXICDTk2T9NCut2uz/7\n2c9QUe3u7mJ6Z5omenteQ0NeKcVwhIwGPoP2Z1lWr9dzHAcjX85fRh6kJ+n5UR3yX/xHQqEQ\nUwlSjLT3AKwgQpFi8KGr1er8/JzuYC6XI7PncjnSGZgSgXA2m93Z2Tk4OOj1er/97W9PT08R\nrF1fX89mM06A/GXbNq5Xg8FgNBplMhnUr6ZpYjHP6dHv5BLe3G+HH378aYe03yCW0V6iihNw\nQ7oDLYFslC4dgX1su6L5h/lIq9XCBkV6cgwZWRSBWJ4RLdWjnInSA+KAXoQjFnogP8dxKLZJ\nZXIEqHhCthOuHt0+8hVXRKphdMtitMFgIJRiuS2ifpP7A9jiRq1Wq0Qikc/nqXtBxnzBu2h2\n4o2F73G32+33+6RTThiNCEeDsyhVt0xmvA3IN/dr8uUPH9jdoECBNRwOR6ORGHhOp1OgBmip\n1Wp98sknZ2dnwmn99re/fXBwMJ/Pr66uHjx4kM/nT05Oms0mEgGIbtfX1y9evEA8j9EReCgS\niTSbzV/+8peUkgCXoN4kHdBKVXJcOp1miClCsJX2RveWvMFgkIEFrugBrQVZLpfI7OfzOVDJ\n1QpcFsUqzasTWjSJD/Nh9syCBbGVF80XJTilp1KKD+10Oj//+c/ZeMvchCwf0PabWNPB16HN\niZM7SU28tVBOYHbqq8P88OMPCUEwgoQoWWXPgXin8SQOBgNYYjDzmFeC/ABqgUAAw3OlVKfT\nEVEFKSUQCFiWxRLVZDKJYsPVO6Mnk4mQg5nkirtvQFssYbZCSpEhsqt9UmQvhdJjZZksM/AF\nfskle02GZQ4jX6y1RTPzE68jAaU79OhrHWTmfr+fSqW4jRg/tVqtXq8HmVhmLHT+RqMRUlxu\nOE1TVwvvInqlkPwV8OHdawof2N2UEFSErB3wMZlMOp1OtVoVxgkVpJgnnZ2dxWIxaLaRSCST\nydy/f7/RaFxcXHz88ceWZbmuK/a8JCOwDlJQbDDJNShbyYDCt5XylPkmMwVOmLRFhS0dO6G2\n8In080kTpMuAXpIBamQcgFCDhEIRTO3O62ez2XA4DIfDpVIpGAw6jrNerw3D2N3dpa8m1uqg\nN4Bsp9MRHRzZkAqYyQsLdjqdDpIxTkkmy6ydRf/Pj3iLP5Xww4+XDhEZ0Phfa+NMocExY6UU\npL/ebrebzeZkMsnlcrVaLZvNYuGLl4dSin5YKpViukrypHHF6meIYqQaaLJKKSAOuRSYJX0v\nLzlPRAPejpoAOHKmSBnAYaLY5TS+MJyVRiOZZKV3WshtUdpejsunyIzFYlwgBGj6cLydk5/P\n55Zl4VGHFg3mMZ8l8pSZDtbtiNGx9OdkWv2Fr/145eEDu5sSPM/z+ZzaESCFgECaZGzKomZF\nIeG67vn5+dOnT99+++3vf//7kUjEtu3Ly8unT5+enZ0tFotkMkkRDJOMtpnYBIDbWJiINoJU\nxQM/nU5JCul0ejqdsmuVp11adFJrSo3L7Ng0TfAZqZZ0jJpM3gvGAvZRRiOzINErbRwACa9c\nLqfT6dlsZts2uyI2NjYwhT87O7u4uMBBlKkuN0dIdULao1EHX3A0GslfAop+uS0MUOLxOIMP\nSnPZ3uOHH3784UERFdR2ITIhBRuhkO31es1mczAYUL+JEye6dRYkMEBkUMCWheFwaNs2DTnQ\nlTfnUIhCsOPI3smpmEaR5ZiieoekgkexfxuNRjQOKY+leydUNm9XLJFIQLnjZeJ+IJw5pZeb\nCdKKxWJkJ2kWMhqGKILMdjAYpNNp/jqQ1iAoy2mDlWny8bVQXJQG3KBMGRALlhXE6ccrDB/Y\n3aygxSVtKlYcUpvSogM2xeNxdAPJZPL6+vr09HRrawsHXZzNT05Out1uNBrF+m61Wp2cnPBT\n6ZyB22R7BJ4j5CyhuQjfgmxIIw0ACjtYyjuyIW08pRQLx2TDD68XqyelFOdmGIbjOAxfoN8x\nikWxIVqKRCKBTk1p7Lher8vlcj6fXy6XuAAAeUGKgXW5RJAAACAASURBVEAglUohlyN7Sh+R\nzD4ajSzLUkpJec09IUczgVVKMeIBIPoCMT/8+ANDulYBLY0XtCScWsk5PJvMGfr9fq/XExjH\nZjCZGMDKwJuJDxoMBr1ej6NRT/LYwpNzXZfWl+M4DD2lUQd8FLIdx/f26shvwCMQJDnNcRz6\nZDIsZlxAWQjSYk7iOI6QXjgU94Famq2MkN5kNuqFaMvlcjKZsBVNBChUnjJ4kSmE3GfZBonU\nTP454CzKYHc6nYIIRcvio7rXET6wuykRDAapR2mtB/UiQghkK71WQZCHUooibLlcnp+fn5+f\nb2xsMEIFC9LDz+fztVptPB6DfhhHGoZB4Ys4i4wArgp49ncpLeYgVZE7WPnFY6+055yUmyQg\nDiWWSAxwhVZMkg2FQiz4YnUEzcVYLCZdNKmVcaVyHMdxnGQyCQxFJ9Fut4+OjizLEu0Ft0W6\nj1wCPEUahIBIWb+rtH+VsE+4Iu789fU1WZsW4B//t8IPP74c4R1xgpaAaN7OFl+4ek2Ct382\nmUwsy8rn8xSiPMhKN/UpWQUG0ZjHCwloSBeKOpZPGQwGtm0PBgNyID9F1CXdMkpB0aJJSUlT\nXyl1fX09GAxAk4IRqX4phiGH8H10/XjFceFKL2djXAt+JV8h+GB8Ie5R/Gg8HotTsXAEcXES\n72LuDzeQhMxpKKUSiYTyNOToeq7Xa8dxxIJAqDtv5nflBoQP7G5KMCagQy4YAqSCq6RSih1Z\neHAopeCBJZNJ27aPjo4SiUQulwtosQKW694ylP3TQvIgSQlXF+CotEzMK4xCt09l7DiOYRhw\nb6WD5ep12lL7Ar+EPkLDT65upT3ZoQZyVgBBSNOIyKg1yd1BbXwlAG4ymXS73VarBRkOmh2z\nBnjBjCq4FalUCjirlGKKQT/Ay63hDwYflMvloFfz7+Jqmd4f/xfDDz++HCH9IUhv0psX3xBv\nzgl4ZBZMVBGws+GegQDJjT4T4wsh5srkVHkAGfUqzzIGeHSqwGo082TyCNoTkORFn4JNRaWh\nlJJDiVkVqXgwGAyHw/l8DtxkFRDsF+nMLfS6C9qTLMVJpVKLxSIajUodvlwu+/0+q2wFsMos\n29XKYpCZfJ9GIFYmZFTRSSDIY8M4XGQBi152oB+vPHxgd1OCLAZpg8eS+gywJca/UCiUUviJ\n0EmKRCKnp6eRSORrX/saq6apPpVS7XabQ/V6PWzWeYBRoiml6AWCpagjgx52M2dFt596V2nT\nYMMwKpUKoBMKC+UpgwwZiQorhQvhaPThTNMsFAqxWGw0GnFklKfJZFLkYOv1moEI9aiMVpGA\nnZycIIAgLZJ2wZRcETg46DFBgCwI5iNBC4oVUmM4HGaHmKuXpPFv5Kc5P/x46QhqazfIcEp3\nqsBtMpZ1Pa7FyEjhByulDMNA2Up3n1fSm2cyC2ShrcXkkbJWeoFeuohXH+DFggJo2O7Ftlnp\nlgUCAbIKmEzptCATDBErcGkw+WazGe507H5F4y9NtaDWzDIMoRvHDYFjx62bzWadTqff7zOE\nZa5Kma20VkM6oKRf8RwQexRmKdT5wFnxz1ssFgFNdlz/rimMH682fGB3UyKkt2axIoxHDpwh\nzTylFOMDVxvC0e4ip8CcvXv3biwWKxQKyC+m0+nh4eFisej3+65WyCrP3IEMgrgBQxDoIATn\nRqM+HA4bhiGT1nK5XC6XYewK95ZUtVwux+OxfBBQEppaNBpd672xsVisWCwahtHr9QQFgvn4\n6PF4LFsUhfMhSBHWMIiT+jWg93zDquFiSeWLxcK2bV7AurBgMGgYBuU1w2iZvAgNmcunJUA2\n/+P/Yvjhx5cjgnppBHtIlVKBQIBdzCvPyi/yg0A6elTgGFrvlHmwMgBDuH4IkmP5KakMFOgt\nC0F1MhQW2pzMdsE3VI9YHUX0bmvSGsZPpA6BhiEdADIyVSAQQKUh3Bjajf1+3zuR4AuxeRJy\nISIJy7IYNHOZslmHPbalUimZTLKFlp9S1sq8mBEHZxWPx7PZbKFQYFUaZTOXIH0+wbje77zB\nX5svZfjA7qYET51pmp1Op9VqKT25COt9DGQi/EqCejNPPB4fDAZsGFuv10+fPr28vKzX6/Bn\n4UngMCx0XdhmsHqF7SGyBmAQOYu3cxpIB1Y6YrEYm3aESgLXBAYMVTJwU5K15A7xiiNFZjIZ\n5imhUKhQKIiQlsEEHBFOA1IgnwKxBrYyg2YQJ3vAtra28vm8ZVkXFxdMXSVJ8TV/RZhNy9DH\nNE0aAyDpfD5Pe0843b54wg8/Xi7ACpgoiTKd9jzVl6tXDlK5QSAe62DKSXuJhMCuBWGPjcdj\naLKu68Kfw8mIdEHL7fr6Gs6JjCYEtQhBhY4d/5tMJmXNKxpY1nPJSQr1Tf1ui0s4gogYhGbH\nGsNsNotpKOnIq1EAToW0UbPS1i3L5ZKkLQk5Go2yTKxcLqPfp/hnpCPzZS9VMRqNlsvlnZ2d\nRqNBRc2oV3qWgk35CMjNIrbz894rDB/Y3aAQTxNp5rPSNJVKjcdj6CmkPLggfA3gww3YMAzE\nTfSilFJUgVIL8swDmNiQI502DshpBLVHJa0syBmID0g9mUymWCxyGkBA0ij1XygUymQyICEp\niGWgSTGKYR6WJaenp/TzqLbBiF7ZPyiWxeEYuCil8DsIhUIMGoJ60WEikdje3q5UKo8fPz46\nOnJdF0Yg+Bg6neQvsN14PK5Wq/fu3cP5+fr62rZtEjHJkWkFw4s39vvhhx9/yhHQ2x2kjBQ6\nmkhNA9rRjf8KKCF39ft9pRQstFKplE6nA4EAqoXZbIaLm5gAS3VK8faFOa/kN/k4+YJPjMfj\nmUwGSpzS8xDJCQu95hUGiNILsuUq5Epd10XrihmTYRjoJ1ba+5P2JKlJ6VaibMul0iaXwhth\nDqOUYqJNVoSjzMdxyaREDsUrs9ns1tbW3t5etVrNZrPxePz6+hrOjIxxvfQ7Mq2/Vex1hA/s\nblAwU4BbxjMpxnI8chRPZCs0quAMSBiLxcJxnGAwOBwO0+l0KpVa6uXWkkn5DikMAh/HpMdG\n+auUAsABLmXWQI0ID5fmYkh7lyA7ZQu1qw35yEckO+iAkvtgxiCM3d7e/u///m/OHIrhWluV\n0hEUFg5FJDiVFlqhUMjn8+PxuNfrgWgDgYBpmvF4nLkJ1GClFJmO8p3ER7nMDSkUCm+//fb2\n9na32w2FQsPhEK2u1/YJtg3vejO/H3748accXh7b2uPlS28+qI2TeMwTiUQmkymXyyheu90u\nmbDX6+FU0m63QScIFABPFK4kTFAOowloJ+JtJIkUBMacVP4XZMMJmKZJq4yOIPmQw4rmg4Tg\n7dgF9cJuktVkMuEMDcNA4oYzqOBCSHXC1fuCgoSBCRiLGyXGwlDoyJBoQcQvBn4e68XL5XKh\nUMjlcsVikQ0WzG0g4UCzppEZ8CzMhYonVEI/XmH4wO6mBHkNzi9PJk87E0ZZw4VFCIZz9OqF\nkCdUFeneKy0jRW+RSqUYYtLqo13van9gabx/gerBBIR22kp71O3u7lYqFU4APMoQljeSj6TQ\nnM/nEJBBV6QnV6+jKBQK1WqVWpwiFVaKTEWpRymUR6MRIFIpxX/5INjEXFS/3z87O2MwYRgG\nGlgQngx0pFWZTqc3Njbu3r17cHCQzWar1WqtVru4uGC2C8pkZsSZ+8WrH368XAS0nzmPnlJK\nMA30D5ELIH0lpyELbTabbKaWkatlWbSUYMSiYQfWiFqLzBDUG8MoX6UZJroB6meh1oFjqGOp\n5Vi6jQU6XBSxfHO1OYuQPZR2iaJABdjBjc5ms9FoFJYbuzGWehUst0jeqLSTFKs4ZJijdJtT\n+MTIXfkI0mZAG+Dl8/nd3V1adLQeZXHtF/5FBCnK5Sg9JwlrDyw/XmH4wO6mBF13yjhpqkUi\nEaHWMlK8d++eUurJkyds2UokEpRrpCoRtIvZL0wyabZzNB5j8iY8XBgtWGgqpeAsk3zXeies\nlNSmaVarVcMwOHM+nVlnQG+zEI2tKHz5EVRC0CoMj1KpdHBwcHFxMR6PlVLeD/XqVWk6isKf\n651Op51Op9frgQtBsSDg6+trURADLr2moMlkslAo3Lt3b29vD6DZbDY7nY5Samtr69NPP2Xm\nstTbHhn0rP1dsX748VIh6Eegj7e1L0NMii54eGiVmAnmcrlut9vtdtvttmVZ4/EYpAU4A2mR\nOkJ6j4UgFSKolfgy4iSxgJxkHKyU4sWGYeRyORIsCga2L1IVj0YjnAHkosBMooeQ+hZRmmVZ\nvV6vWCwiHCmVSpZlkVLEZs/1eDmJiFUpRSISYwQukyUW5Do0FmxIo/5k8Lq9vX1wcLC9vZ3P\n53nlSu+fRXInBbby7Lpda4No5WmyvoHfmC91+MDuRgSgBwfwtTbAlBKWujYej1er1Vu3bmUy\nmd3d3X6/f3V1Je7qvEUcOgLar0Sa+bTioIME9F5apWtExgqBQAAnFFp0Sikh3sHe5YClUmlj\nY0PkEUop6mCvMwgZDWqg1LUkCEaipCp8+Pb29j799FNUqK52B+WwAc9uWbKn7L0Qjyjkb4Aw\n0zS3t7dN0zw7OxO9MHk/oBcK5XK5e/fuvfvuuxsbG+12++HDhy9evADV7e/vFwqFTCYzGo3Q\nvsn5+OowP/z4Q0KaZEG9yMHV3iL00pLJJMNKEY3BnTBNMxgMJpPJfD5fLBabzSapDwUoKlFG\nmeQuabELRhGhg3ShZP4LEBSrI553BPu5XI605jhOp9OBzAcqmk6noqAXLh0mLOgk1nppGENS\n27bb7XalUmFfbT6fz2QylmUFdSgtXAPYkR6pz7FZ4QYyHgmHw9lsNpfLgSwZJdP7DIfDqVQq\nn883Go2dnZ3Nzc1isUjfkQN6XWCUtnMXzsxa+4Z+AeH58WrDB3Y3JcBGSq+ip4EfDAbxQAkE\nAoiYfvGLX/T7/WKxWC6XDcMwDKPdbsMwIyMIu8I7mSVtiSDUdV1Q2lorPeVlgLyQXh0mhL+g\nNjROpVKVSgU6nTS0ZEZJpuYg4/HYtm3yuBCTqREZ7KJacF03l8uVSqXj42PXddPptBgTkIgB\npvwlCOmFQsJQwQWA5h9T3XK5LN5X8BF5GX9UisXiW2+99dZbbyUSid/85jcPHz5k2Rq3pdfr\ngbA7nY5pmiyfkCvy2XV++PFyIZICr15BKiUadeItQiUGyVXyAEYhYLtCoXB2dnZ1dcVOWLKB\ntwiUgaZ8ivD5SJVAnPV6LRQUllKA0qD3ZbPZcDhMHkNmu9B27qQUGewyi8BSjrYZZ7LWDvDD\n4bDValWrVcwEcAPgcwGFSikhBSqlED1QqCOVYAMkL6PtJ47r4mzsum4qlSqXy/V6fXNzc2Nj\ng/up9NDWtm06hQyaYSh6579eYOdFxn/U35UbED6wuykB74QcgV0nwq5oNNrv91kO1u12j4+P\nZ7NZpVLZ2NjIZDIbGxu1Wq3T6ZDmlFKkJ+m0Kc86VFEPuNqjRFw8mE0wf/QmF2kWgqjm83ml\nUqHuVEoFg0GyJN07mWhASSH9BbSdEjWoNBF5MUVkKpXa3t5+9OiR4zicPzmdHzHzhQUYiUSw\nP1Ce2QFzZLpx0KtHo9FwOBSOIFVyKBTKZrP379/f2dnpdDq/+MUvDg8PR6NRUNvEK6WYR2Nt\nkM1m+USR7Pk5zg8/Xi6kPydwwUtsCGrvYsMw6FGJybBosEiGhmFkMplsNgsB7uTkpNVqUXR5\nJ6ryFkFOvED25SCqoM5ELkDOxOUEfzgyD3NY5gli3kQ1C2uNpE2iyGQyFKvSA1NK8Vm2bbda\nrUqlghIim82Kj2ZYb04T3guWBZTf8Pnod7JhUkplV2+MGAwGmCen0+lSqVQqlUTPS5F8fX1t\nWdb5+TmyMFp6hULB1dvJ5Z9J0qZkbD/pvfLwgd2NCGgctm2LGJaHDben4XCYyWS2trbW6zVb\nIvr9PrRfpqI7OztbW1uPHz8+PDyELCzrvIBuSimZbpA+GCW42rUOj3XYZkp7hK71vhrOEORU\nqVQ2NzcF2FEsplIp17OkQXgnwqhjWEBah97HhwLLIpHI7u7u9vb2J598gvaNDCtAUEAn7TRx\nLXG1jowqebFYtFotJr/s0uanTHPy+Xy9XjcM4/PPP3/69KllWYA/2o1IQyKRCCOYs7OzkGev\nGv8cPs3ODz9eOlZ6CwJJY+2xYeIFuNyJGIKlMihkZdkX4Cai18IqTYmD9OaFIMFgMB6Ps+lB\nafIuHun4k4sGVijCrjbXREYK8aPf73c6HeYnVH1CC8FGhPkDw01SHIajgpC49vF43Ol0LMtC\nQpHP5wuFQrPZxCmT8lKQqOzLYcYKk4RPDIVCrOrhfGazWbvdbjabg8EAMwT25Ab0MjE6mrZt\nX1xcnJyctNttEcnByeHyRcnLabva190fU7yO8IHdTQnXs/oaFyXGEFAi0un0zs5OKBQSXw+l\n5aiO4yCVfeeddyqVyqNHj7rdLmw5+BOu3i0jrlELvZmRh5Z8gT87JD/XdXEHhVwsqoV8Pr+/\nv1+pVJT2HJb2W0BvmCUvk7Uty2o2m5lMhsnCSjuqAys58nA4xEykVCqRc2VeQ9mKSEJ4gVJ2\nS+lPkR0MBieTCawU2borClx0duPx+Pj4+Pz8nDQtlbdIT2gJoD4LesxLhXHyRn9H/PDjTzVc\nbTuMjImCk0QkuYicAAGu3+9fXl6ORiPDMNAcSJ3GIw+TDO9ishCZJKCXekUiEew2KTupyniW\n6dUF9e5aYJCUcMxhIfaNx+NWq9VsNkejkeRS5h7FYrFSqRQKBRpj9Pzi8Xg8HoeQhx4fdb9S\niovq9XrVahUvlUqlAiATljB1dUi7itJsg3mitKMKFSyZPxwOX19fd7vdTqczm804Z1e7n3DP\nR6NRr9fjKjqdznQ6zefzay28pcAmAfIPsf7d8McUryN8YHdTwuszJwgPeEeuIXORsGTPzHw+\n7/f7qMYQfJXL5aVeKUvrS9KEKORzuVw+n3ddt91uLxaLUqmEWeV6vfb6ocC6Y+JAsigWi/V6\nnbKV5mLYs3MGkESiubq6YsXNbDZrNBpi9ckLhsMhiC2oTc9TqdTe3t7h4eGLFy9ArqvVKpVK\nQZcRfrGwpPnbIGQacJ6Me8SyWOm/BLPZjOLYsixOnuYBfUoZ0wT0WjOllNgfKC1SA/D54Ycf\nLx3SFlprQ0qxcAMVYXiEWV2/36cVR2KUh93VEjFshBndUsrSfWewWygUCoVCMpnk+zQLWScD\nVBKF7Fqv9gKxFYvFRCKxXC5pdLXbbSYAJLpUKlUqlW7fvr27u0sixRmAjWepVCqXy/V6vV6v\nZ1mW4zjMKxiq4nuSyWQSiUS5XK7Vao7jUKKT05QuKbk/kGFoE4rCg9q42+0qpeD8sTScRDcc\nDiHJUN73er1utwvQZFXPUofgVDKbq0P9rlm0Lxp75eH/IbkpwTMmKQyQxBw2EonUajXDMBzH\nUUrRNocqGwgEWB3LiAENfCqVwugOkpzSNAvhT9DAF2odTsVCkqPtD6eNZAQujMfju7u7pVJJ\nKcXIQCYIVNvw8EajEakQbzkOXiwWHcfBG5Nhigxt1+v1eDzO5XK3b98+Pz+/urqaz+fpdJqL\nAoFJOxPE6eodaCFtSQ/KBLySxGGoAE+ZzMIv5vZK+c5VrLWFCvk9l8vxuSBLwdAy/fHDDz9+\nrxCg4NVMeLlogCo4vqx5GA6HdLNoWY1GI9M0k8kke7pEDyscNTm4NKLEtg1TFchqo9GIHYw0\n6mjgMQYVcguyicFg0G63Ly8vKVBRXyWTyVKpdOvWrdu3b1cqlUgkwqCA4pBVEOzDhQUYjUYZ\nsyilFouFbdte35NKpdLpdIbDIQdxtT+U0sILUB3UFLyrcPSEByxDbS6ZOn+tFzwuFovhcAik\nEyQtA3HkKTJ1kX8Lod8A+LwMPD9eVfjA7kYEpad0y8hQ8oxB+5AKVSmVSqWYZSC/V3r3A5Ur\nJDOlt9x4HSlBeL1eD8djfspzi3hK8B9nwtEYaObz+bt37+ZyOVhxJFCoaWSE+XxuWdbz58+f\nP39uWZaMPMgs2Wz2+vo6k8mk02lc1KVEHo/HaPir1WqlUhH/T5n2So4LetZFcEVrbWpKIhP3\nOxHWSR0sfOq13tKNShcjK8D0eDyG8iIMa4BpUDt2+jnODz9eLgL/rwCWKaWE6cWTy+YYOBg0\nrmjzA/54C+03LyQi9bnaRQWwQtNrqkNGGZyVIEvYIFtbWxsbG8lkcr1eI2XtdrvkIiiA9Xr9\n4OBgf39/Y2MDvi8QUya5UO5wbxHGW7fbBVw6jtNsNhmSRKNRDAE6nY5t2wHP1gdp15G7OCBa\nWv5MYNXOOh+KUqUU0xLHcYC5S21fTOEtSRtrPbJuyLMBfO2xzVJKRaNRbrWf9F55+MDuRoTr\nurTTRYC51mu1lMYutNYBHMA7Wus8sTgY0Zan3yYPJMlu7VkXQ89MlmsxhSQPkl5Fh0X2MU0T\n8CRM56BnsazS4o/z8/Pnz58fHh7CeiY9kUGGw2GhUEBqWigUKpVKJpMhywhzGWXGzs7OYrFo\nt9vwCMloXD5VL7eFLAkMRSLHnwGuV9yP6dvJjBWgxmVyLQEt2pUBhAj0QqGQmCOIaMPPcX74\n8dLxf6M6yB4C7yjbeH4ZXwD1eN7Z4EzSgNMGRqF3RT1M1bfS22DlmNL19w4611qkj2S+0Wg0\nGo1cLsc4uN/vY4ZMpWcYRqPRuHPnzq1bt3AGwKnYtu1ut0tuWa1WLDpD4cFwNplMJhKJdrvN\nqTabTRIgflW4t1iWJZvNpI5d6uU9FMD4pJC3Yc7QKRQHmeVyKVIM8r/w9mTPrGA76l6mN9IX\nDAQCyPKUUlyFvMVn2r3C8IHdjQjpOdGBC+m1sOAtJgW06CXLQAFBahDROyR42qneQG+Sy+QJ\nTyaTpmkCGRFM0ejCwJ0umrDfUFqk0+kHDx4gyJLtYfIupdR4PG6328+fP//ss88uLi4Y5god\nBLo0cxP84qfTaa1Wg2gCsCM9FQqFzc3NwWAgRs1Kr4+k1yj1Je8SJ6rlcslOSZI49xNqoDBv\nyFlKKZntMnhFSAG5hxk3mBKkS/9P6czoj2L98OPlQiBU8HdtgWWQKnUjdZRhGMiwKEeVUuPx\neDAYQCORpQsCgER0L2VtSJt0erkW8OFAfnwfKFMoFDY2NorFIu5urKPt9/vL5ZKZSaPRuH37\ntqA6slm73e50OvBhRAVCgkWJFdcRjUYvLi4Gg0Gv15OmHWbFpVIJGh/Xq7Q5FHW+KOoEECst\nMQbYCSbm6siTpFbuvNwcugAC19Z6CwXsQ/5SMIEN6L1k/ij2dYQP7G5KgM9YpAPKoYQK6q3z\n8CqWyyXtcQrWRCIB4iGLkRxpNQlHTYj/kkyZEUAai8fjIC2ec05DKRXW5uyGYeALurW1lc1m\nXc/uHZILDbZHjx4dHx+TnoTmImiV9Y6z2Qz2Cdm5VquVy2VIM2S0RCJxcHDA3kMsrEBp3naa\nbM7FroWJCXoRSehcNfUolyPZ0NUyfsAuSI6MFtH7dunMyaxZIKCv/PfDj5cOAXZAB0pQUV/x\nhDIlQJfKg4kUgOQmLnQwVWTU6K3Tlnr1lig6xXZElAFyQD43Go2mUqlMJiMVL5Xq1dUVuwpB\ndfTqmMAul0sgmuM4ruvieEe5yzJGuM7sosjn89I/Y69rq9XCiJR8WCqVCoWC4zjSawxokwHv\nQHkymTCOgIMojGFXL41Ye2yqlCbJSa0b0C4tjHQNwwAu071jxBHw0B/9Ft3rCx/Y3ZSgVcb6\nv36/j459MBiwrp5JwWq1ghBGVw8vX1k4QwlLO2qxWGBWIgNZcVSazWZs4yFRSiIQ/AcSEqNg\nDN+XyyV8kdFoJNNYhraXl5eff/75kydPut2ubdu8MhaLgQiVUvhnokjt9/upVGoymUgbTMpH\nKul8Pl+pVAzDoLpdr9ckR/5Lrkd7AczlimTyIpUoiUm6fUu9OHL5uxskw3ovENMH/t5g9QkB\nUYpmsZ55U78hfvjxZYqAFl0K3Y3HkGkj1Rdte547V+97hZ4B80RpT12+oLMFPBJTFQ4uLiEi\ndBDFgFJK3IZFAdZut1ut1nQ6RSd7cHAAqqNXNxqNkLvS7ROmByiKwhW0ZJpmPB6nJAacgRfb\n7TZlbSKRyOVyhUIBHp5s0ZCbI9iOj2B4yvSZSxMEFtTbI7mTQLeAXkEU1NtyK5VKo9FAI0L7\nQPzq+KCl9rET1OjHqw0f2N2UCAQCbEFYatNO8Bk6icVisb+/32g0Tk5OvEXqbDbjMUYEkEql\nWAXNDJfmlojkSWQ4oZRKpVQqBbuCrrvMXoXKRtXIyWSzWZh2SpP2SJ22beNR0mw2J5NJMpmk\nFsRaDww6Go3wbeL4w+Gw3W7TJCMtUu8yVWElbqPROD09RdslQJYbBe4kDYHJSNnSz1P6bwZo\nVXKuNDXFmXmxWDCBBROHQqFcLoeJKCQe/pa4eukF/0Bv5NfDDz/+1EOaZ0ILEdwQ0PRflk+g\nn8BuFwQjEA3shVkSbX7y5Fo7mcuIg/aYVzfAd4AygmDk4JI0ENr3+/3hcBgKhTDvPDg4qFar\nhmHAG2ZjIecT1M4ASg89xaMEhMRoJZvN1mo1qC+TyaTf7w8GA2zwvEtyeZcoWJXWbDFJoP7n\ntAPa2hMYJ8szlFJYsqO08OJXjJEbjcbW1lapVIrFYo7jBLWjpzQ4RW2mPHaefrzC8IHdTQlw\nmGjdpW1OAbpcLk3ThD6M+hXuGgQyppyJRCKfzyeTSTEWDgaDrGTgmRf6cDgcxjiAnEgmAt5R\n2wmmgaaG/zvTYSAOowE0sE+fPj09Pe31eqZp3rp1K51Or9drum5kItps0E3AXv1+v9lscpKs\nnXU9bi/yEZTR6BjQvnFn+KtAyS5JELjJF3TaZrOZ3ECly1l4OcypqeBl2PrOO++8++67//zP\n/zwcDsnXDDvkpsXj8UQiAcf5zf62+OHHn1yITvaHqwAAIABJREFUJkCAFNCEh5QNEwAUaG00\n4Gnqy1NPR0qkoxG9UEda7PSohJFCQiCEsyvedUKxEE0ox0GdoJTK5/Pb29sHBweNRsM0TaUU\nhimyP0PkDt7JL5hvrYPsEYvFisUib2m1WsFgkPYhl/8F8anMlMmBlO5oYAXtCYRlzW4qlRJg\nh5eeADul7bSg9FWrVdp1Aa3J+79vhdIrPWRm/cf+dflShw/sbkQAnngs6S3RSQqFQrZt00kK\nBoO2baMVAMogpCC1YVnEQ8i+L34KMpPJBdgoFAo5joPPnLf1FQqFwDEAo8lkQrJLJpOyQwzw\nB8xqt9vPnj07PDzs9XqRSKRer2ez2fF4DGcFK+BSqUSmY7i8Wq2YU1A3QzGBe0c1PBwO6TKK\nmpVz4L0gTnJ9MBhkGhLQEn2SneBXvOmhwohVPa4rk8lE6T0/mD9PJpNCobBYLM7Pz7lM+nP8\nK1Drr/3lE3748VIhiEesSQArhmEgVOd5l/bSWnuqoW0HBgmfhJ8uPa7FvJjqi7IQ+CjsYQGR\nAe06LlNaL58soFdCh8PhUqlULpd3d3c3NzeZP4xGIzyTmbSKUwEHZKogIwJeIGZ7+Xw+Ho+X\ny+VAIADFGegJQKRPJrQ56ZYx0yAhM5V2tZBOuMIQBLEI5Y1s1E2n06BGVxsRs6M2m82yCY0X\nywnIR7t6VaPPtHtN4QO7mxIYNd2+fRupQSQSYSTRbrfR1T969Oj09HQ+nycSCQam3W6XapWn\nnbxDCwqjONF4BoNBafgB7+jkrdfrcDgMsc9r+Us7kLa/6A+AgLT3BoPBxcXFJ598wgaz9Xpd\nLpdzuRxNxGg0Op1OT05OMAK9uLhotVp05rhYksV4PH7x4sV4PN7c3Nzd3c3lciQm2nvZbJak\nTAEtii1h+C612abSVuzshZStGCwLoj8n1ifhcHhzczORSLCQVynFtrFQKFSr1R4/fvyrX/1q\nNBrlcjnHcWj+KU09YcLiZzo//Ph9AxwmC2NisRi1mXjL8aRTQUlXbKVF+jzygjkAc+JSKS18\n7EVw6OSwMjOlkiSVudro7gttKv5XKRWNRsvlcqVSqVQqGxsbpmm6rus4DrvCwJdSanJuAb19\nh4MsPMvTBoMBb2FLbLFYjMVi5B+ughDT4KVnT7e0yqSodvUKHKGXSOoWB9OQtmvmp/x1kM6l\nNOGE9ifjaV4p1+LVnbyBX5ovb/jA7gYFnblSqXR+fs4gQKYD8/kcf7hQKCRmmGttUBwMBhGu\nuq6LH9JoNBLpGdAtkUigsYCUhmJU+v8B7WxEQmFcQmqgXT8YDGjdL5fLyWRydHT06aefPnv2\nbDqdohGjpJ5MJo7jDIfDld7odXFxQRPOsiylFOODoLboGwwGkv7K5XImkyGb2LYtZ8Xr6TiO\nx2MGE5PJBB5xLBaTPwDCCwzoBdhKqUgkImcuCxzxveOSV6tVPp8vFotsb6zX60dHR9PpNKi3\nWcBfNE3TS1j2ww8/fq+gNBK/NJAKvAu6cUgHQqEQKx/a7Tb5Ad0S/BNR0QrskAKVMkzIuPDS\nGDsQoB9vRxAc6cWX4E7DMDY3N2OxWDabTSQS6/XacZyLi4vLy0t4KWRRIeyutB/ydDr1rkHD\nELTT6eAnvLm5mc/n0aUycWZoMBgMBoMBVqbQV5RSQb1EEVoeKFCIOsJTJM8rPb1da2EsOE+G\nGNKGXGqfP2642DULxZDgHvIp0tr041WFD+xuSriuiwzecRzKuID2XQvodTFSKZLXEIvxDNO3\nW2tbJmEHc/C53idIrUxGEHkBjTEhpoT0Cm00s6BAx3Gurq7W2o39xYsXp6enNOdoH9JB5PQg\njmxsbMzn82azCXeQ3E3apWTk5NniOp1OLcuqVCr0HQeDQb/fJxPRlgOk4sPsagMqIc2A9sQg\nhvkFDGvmHdwrPh1xLi1JbtR4PD45OWm324VCQSkle8FBkNxATt7nmvjhx8sFQOpaR8CzQVEC\npCW7vLDbpbEEFwJQBWgTsSfjV5gb4u4mPTChoKB7XWnBrCgtEJmymhbHExqKMPYWi4VlWScn\nJ8+fP4cbl8lkkslkUC8kJAfCV7ZtG8unlcdZCZ3saDQajUbb29tY5UkOn06nKHDx7xTRrpCD\nlVLAVi/e4hLEah4W9Urv7CFJ8vpYLKa0yx2pnrdAdxZBBgDRO1SRdqbfsXvl4QO7mxLkBSzl\nKAEpQ+mNU9eG9LIsIM5kMiFPrVYrxLBeVoRpmsxGGWqIKy9sXDphIDnZZiYWUEFtXM4J9Pv9\n09NTZhBsxe52u7KGgROYTCYsveCNwLhAIEBPEeDI+S8WC7zrhENNyrNtu9VqFQqFcDjMfVit\nVmLFJHNh0GrA4x0PwhMdq1IKeV0kEmEHNq07pZS3KOdi4aCQf23bRm5CtzIajfJipRQW8367\nzg8/XjqEecYeWFAdq2CBWdJkEsEEU0KhxEneA/QwYQB+MYWUAaggKjAQbbmIXgYtdVpYeyOz\njOvq6gp5AZyN1WoF4Ds5OXny5Mnx8fFwOER5hpMISyBwbldKXV9fO46DuR1lpEgcmAgz06jX\n67lcjo4d8tiLi4uLiwvHceTkla5+SWh02kKeJRCi2xBfQIAauTSsFwLNZjOGxRwHWJxOpw3D\nkLqdO+N61tTKnxgR9r7BX5svZfjA7qZEQPsq8eiC5ALa5ndjY6NSqWB9CZgTdgXJy/VYGTFZ\n4PEOBoMcSvrzSmvygUReniyfyCYGkI1kt7OzM8uyKF5ZnkgFKRlZphtKKai+jFFoOnLCAb0q\njby81itZA3qnNd/EqIlTFYOltbakJ+MI58abr4GJ9CBpCZDEuRzSKHAQFg5JjaOtVqtUKrWx\nsSGdP6wH+FzsA9ml/UZ+Pfzw4086hD0C/4EnUR5VeeLE/EgaVyxRDek1NigMAHwUWsJyY9QL\n18JrgLLyKF69TDhKQSHRWpZ1fHyslJpOp6ZpUiUOh8Orq6vDw8OTkxNYLkqp4XCI+TAOUFB4\ng3oZDy3ApXaSF0Ib44vr62vLsorFomEYiCF6vd7V1RWlsrQtldaxKv2ngezqnRhQ6sttAfI6\njsMghdyOWwJueZFIhK9l45nSk1yAIE3KoHZvARD7wO51hA/sblCstI5duu4UmqymuXXrFkw7\nSRkCSrzdNaWV8PT/V6sVjiEy1QXZyIsZjoivr3BQ0JkKd4R0eX19DTVN6UYdbUXJO9TcUj2H\nQiGoaVgNS9NRKUVqliulUmdLGAtwpeiUFh3HRwIsjUlK9lAoBD0lFoulUimGDjQpBSwqDQSp\nsAGdeARAQ/zKV76SzWblla7rxuNx3N6h2vg5zg8//pAg+QgxjhwiHig84CQrFKyGYfR6PaFw\noP3v9XqdToe3CDtCpgHC2Q3qTRUiVvXqCZRSZCrZvjCZTC4vL5fLJSutGWvYtt1sNlutlpSd\nQCgacq424ePqqKKFyIGtOv4GHH8ymbB/rNvtmqaJtKvf71Mqe9GnkAK98oiA9itWSklfk78C\nnBKjZ0mYqOhyuVwul0ulUrweGxROjFskujQG0JKThcLoJ71XHj6wuykhvDHEmzycq9WK/tzz\n58+/9a1vffDBB4lE4tGjR8ijGEDQLZfRJyw3Gnu07njgJfsI+5iCWNi1VJaUv0u9nkFezFyD\nvBkIBFKpFN8kSA2u9l4HbCElo2G21lZzID/MRTmxkPYHVkrBpZNO4Uobja61bwu0EhAn32Td\nLbUmYFTY0+QjupUQFsnFpPVMJrOzs1Mul5fLZTwe39nZqVQqn3/+OctwlW4WwuqjkPU5dn74\n8dLhak9gEQeI4IlUIFIwrCtDoVAikdjY2ADz0ZAbDAaGYZBSIJ8obXTMawBwtOJAMxBFSJjU\nwDBPJPXxaKNFg++byWRAXcPhEGcoEojUkxw8m83mcjnDMMg5YEq23DIBwC6UFCRTWlneYxiG\nCC+UUkA6yaXctKB2XJIdEtwNpZRgVoCsNCkpbtHhsayMwTHojdadKCQEage0WydZzvVoU3xg\n98rDB3Y3JVy9KEIW1SMIoK799a9/XS6X/+Ef/uG73/0ujzfoBBcoBA29Xo/5xUpbKAF3GCPy\n2JOYUKRSB9O+ok3FCIAMApJj4kBJzZmAEUU5D0tGafy01PbCsiSHLbFgVgpE0isb0trttoh8\nmQVT7wp5TpqIkEXEaS+oXTeVFpcIJ1ppX0BXu5zIpIYkZRhGvV6HzHd9fW3bdjgczufzs9ns\n888/Z8rMzIUBcSQSoeCWlOqHH378viEDPtKU6/FLh00xHo9hstK/J00lk8m1XgILoU2kEp1O\nR5yelPYQkL4XuAoMNx6P5ZUCaLzyTyGWzGYz27ap7kTcIPpTpRQnzObDSqWSz+fJMEwJGIMC\npFg+KzKFoN5zTSrDVZjz8fqneO+Yl0InbnlSPFNR09sDgZEJWTtRKBQqlUqxWMTNLqBXt7m/\nu/9jrpdkAG2FpY2KRbY1/lF/UW5A+MDuBgUJiGebdhFjx3w+v7u7GwgEWq3WnTt3wHbxeBxP\ntV6vd3l5STobDoej0UgpRSuLPAiQSiaTIELTNE3T7Pf7ZAd6ZiBILHlRUUlCEZIyHsXSu1Ie\nWynhgpBM8V7JZDK2bYO0qMsBbalUipp7Mpmk02leAOktHo+XSiVOz7IsyacygyAJCmMvGAzC\nyHH1Sh/5EeIMYRaSjtPpdDabLZfLpmlOp9PDw8Nut8tAx7btarVKWa806iXZ8cVkMhEM6ocf\nfrxECHNLuLMkHNbSLBYLEBgjC6HVKv1cKw/WoQjs9Xqyj4HxKO06MgOYRjIA1alSSqi9cjTh\nsc31tlZgkwx2A1qexeeWSiUMkkiwMq8AWmG3TjMPGjSUFRmewnVLpVJ0DbHuYxjiajkqMI4r\nZcohY1mlCYWSppRu+NHbY70kQ20K46VnC5kU+cpjqgJS5GVKKayVpZr1896rDR/Y3axYr9ey\n4cB13VwuB+vLsqx2uz0cDiORSK1Wg8kBidgwDCYXkt0AeSI7ZRtgMpkU17q13ie49CxP9Dbq\nIpEI+C+gN3AjHFssFul02vXsE4SdxhglFosBy9gMS1qkFCbpwOHd2toyTfP4+JgTM01zrddp\nwCwO6lU5nDB5VqhvMKyFcyPCLlfvE5NXMoIhp4d0BAIBx3GazaZt24PBYDweB7UAtlQqbW9v\nP3v27OjoSMbKrvbEl03kb/DXww8//nRDpqWC2EhTeH/IjgRRgwkZw8t/oKbNZrNKt+pt22an\nogwiQTNkibXe5QOgoVklBBJeHNbLoyWzCUxcaqt2DgU4Y18OGVVpNpvSLBcGIHQWuUamMdjR\nKV3leqcNfEcG03KjlFIcTRgmgke/cBURvTDNy9KTNicTD2YR1O0BLcsD/8Ht4dr5V8BdD0a1\nn/ReefjA7gYFHSnDMPr9vtLmc+v1Wp69brf7/PlzOB/02JgIZLPZvb29dDp9dXV1eXlpWRbd\nflr0DCDQN4VCIYwGIpFIJpNh8ksBjVBDelTw8zgxQY1BvfCH7AOugnJLr4ueHLlSOnNKz1OC\nWlff7/fxRqEAJemQiKGhhD1e6kop4QjKtCWiF6mBt5g1SBtAKSVJSsTFSqnhcDgYDEQhywCC\noU+xWNze3mY5D+IS5rAcbTqdOo7j25344cdLB4AjHA4jfWXdi5huYlFEohORu1cK6gU90O9M\n0/x/ji8F3IhXpfT7lbb8Jd0prbqQftVaB5/Cu4KelanCEqZnRhMOSIdvFAvQRJNB7kUTxtkC\nH6HQUFKKKbEX3gU8mgzJhFKjKj3VWenlHMKcA8aNx+PhcBjQyxiBlfCepVXJbWRXB/ZVlPrL\n5XI4HA6HQ7+afU3hA7sbFJFIpFQqZTKZVqsFbKISDYfD77333ne/+91ms/lf//VfTCtIK+Vy\neXNzs1QqVSqVUqnUbreh0AHg0LEahpFKpYBc0r6CxyZNqf/T3pv1xn2f5/ufmSE5nI2zL9yp\nXbK8xXYQJ3HcJkWLtkFQFOgrKFAgRc76XooCBXoSIEdpgKZJECeKszixHdu1oEiWrIUixZ2c\nfeOQQ85w/gdXv89/qqT9tbFlOaP7OjBsiRzOjDyP7me7HyvmWfwib7axDLROIBAgQFivZPgr\nGVLhC8rlcjQanZubw52O1Jxo7vP56vW6ec2bWxKyyZoRPs//xXl9YetQEFipR/LXAE1klh5O\nPNd1n7cgQsgzaysiFy7KoVAoFArl8/lcLkfiTgnBtOxwfqwAJ8RHweetak5NTcXjcQpgRACq\nXJFIhOoR82pmJGnl9oF3mow1i0gkwgeTj7nJJuKnxTd0ElklAx78FoN3Nqlm32sFLUplw6VE\n5CCBznlbFAQoVlB5cIZYGAh+aAUBEclCBvO7fD0xx3ljfPZPnkzgvy7h+jwPUUuYx71bYQg7\nMli26Hjy/iEfE0v4rWRo4vXEs6ThzVfQexRI2D1BoCrS6XQsFiuVSiwTDC8olMvllZUV8wE5\nPj7e2tpqt9vVarVWq6F7FhcXO53OxsaG85zW4/E4Us+2O4+Ojur1OqLN6m0W8pyn5GjOIoNo\nj6LDiLA0KJ1z3KWxaEV8pNZYKBQKhQI3JOLxeCqVikQiNrFheTnJMVXDcDjMNWvinXVYbEA4\n4J1EHM6taTfwem3YhbyZJ0nSzAu0VjWjzeFwOBqNnpyclMvlwWDAOV3nuc+wCBKLxZrNpjmt\nPI7/O4QYEZB35osUDodJzAKeowfbr9VqtVqt0mEIBoMM76LemOt3ztElODw8JMFD09iHdLjt\nS3ZHfmhFMir3zlvD8nsHuywLpaPKbha+yshQxm3Z4mcHAhFGj5huAGEEvcWqhEU8+gnHnh8n\ndcqJiQmcjXmXKGeaBQkCkdjFAxISbV3MDTV2GenpdDrWI0YTc2PDnO1siBB1O2wyxctUue4R\nIWH3BHF8fLy9vW22c3YG5+TkpF6vc22MS4X0Uuk1NJtNFBVea4PBwFb0mc+1jVEqT1Z/It9F\nadEmcJ4HAdHQZlb4RbYomJ+zE15EIgL0wNtFRaWVy+W5ubnFxUWeYTKZpGRIEwTDFPJainw+\nzzuUUEL5DWsAi9oDz5bFypnEQfScGwpwY97dIdsac97QNFU6n8+HTwFrHIwPcurReSHeOcdU\nSrPZ5ADuY/jfQoiRgGTMpvLtpAQJp/MWAqgVMQi7tra2u7vL/G4ul5uenk6lUkQD2wCwhQzk\nGitlAe/qA19jOS2RwSr6PKXhgTabojMrE6IWUa7f7xOEiXWEQfbrmRKmm0FTxcybUGb8XOec\nDXVYpY3kEx3m99xJ7cnwBOwM2uTkJEshBH+Er2czPGblN793cXHgbWPQr6AVHovFUMa4FvSH\nbm2T1ds6sITdo0DC7gkCTVar1WKxGGnowcEBKSOztzbZZnMnZI3okna7TVjkM8lQLTmZ8/yK\nrLVK4xIFia4aePbCfAsxiKohv0LMYoefsT+6vcy3WYMDr3NiRDKZTKVSOzs7h4eHsVjMebkj\njRhO0CKYSBCdcyjIwWCQTCbD4fDOzk6pVCKSEuYs9NApsPBt8zqk75hOEaF4OXZUEWFHa4Nj\nlAjWfD5fLBZrtRomWAydIBmr1Wqn01GME+KjQBZXr9drtVo8HjddRaGITys5LSNo5XJ5e3ub\nriLTt4VCgR4utb1Op1Or1er1OmP+tgWPkCK14/HHvBvTNm9njU5+tO1Y0CkmyjE/h1ri36l7\n2VwHsyUMdZAtkwAfeXeriTzWZ7BKHrqNoIRAZJuNWRH/0PFWn2dfRz4fi8VmZmYymczY2BhG\nV9wEoq9qpUcrfx57p9V42GAwSOTkn7VajUlie7uoYnLcllehuPexI2H3BMGsWKPR4BZho9Hg\no0hQa7VaiAwyXWSWc44klXYtH28qW2ZKjsjjg+28mlw4HD46OqpWqybmxrzzFbZsG4lELE1E\nG2FZ7pwj2Flm3PdMiW0U2jkXDAbT6TS7Y+bGzswKqSplwlqtxiRK3zsd5vf7Q6EQz4RXRHyh\nyGdvC2koeo5V2Xw+j4kJ4y8M7qRSKfyxzA0B4UvFkRmUbrc7OTl5cHCwtrZWKpVOvDuJY2Nj\nBG7eOiHER4G8lLl+Rvv54CNfqNiZ0a6tAiCVUCf7+/uchWAijXMOVO593motqs550xSEKX6W\njazx4DaqcexZr9tiBz4mgf/qSW5Dafw6ccwyRtu0YF5wuJdKtGSr7KHqGo/mH1qM5XcxwGOg\n0OQgqfXMzMzCwkI0Gu12u9Q1WZizeWXr0lpPg7omnWgbE2SMp91uE5l50/gDajab+EVL1T0K\nJOyeIBA0Pp+PDxtyqtfrhUKhTqfTarWy2WwsFuNz2O12x70LXSgqgiCjaVTagsEghxlIJW35\nP+D5lXe73VgslkwmqeqTbhJniVb8Jx9vBkGOj48xWKGf8lCMQ9hh8EsxjHjHRUhSZ7xRjo+P\nKfgRPnilZK68G9VqtV6vs+LgnCPcMypHEuw8+yXnHNE5nU5z7PX27dsI2WazaTGL+RKfz4dY\nZB+NsTyfz5dIJAaDwc7ODpVRAiI/iMhIO0ZhToiPgs9bb7eBEOs/ID7sc8e4bSQSscOymBMR\n+ihi2eqAZXcsijHygeYjb6T65R8yNqfeT+hw3soC/nOpVAprvYBnMkKpLxqNUttDe0UiEeaG\nx73bZTQEsHAajo28XvOWGl7IQLE559rt9v7+vplPkWn3PE48sxVWNHK5HIsaPNWNjY1KpdJs\nNnlM3hyfd5vbeXM1kUgkFovRX7Y6wuHhoWlcigLoSKm6R4eE3ROE3++Px+PJZLLZbCKDmH4L\nhULNZrNYLC4tLWWzWdYXLBXj48eBhBPPjpw262AwYJ6DeMdYBgU/kmA+861Wi+0HO9JAOOt2\nu4QqnszU1BQJXyKRSKVSg8EALcjPtTqcmY/wCOSFxWLx5OSE5fn9/X3CNEO7Zh8VCASQWc45\n1B7FQtvn73lm6H7PdcVGoSORCEM5n//85/P5fK/X29raInS2221m/qxpS1weeCcXkafZbJYb\njsRi/s4IDF2ZVEtCiI8OGmvMO11ltf9j74If6R+HuWKxGF7ifACHq2vU8FgjQJREo9FUKoWV\nJoV5nNgQi/x0ohyyiVPaZnHCIySTSRwGYrGYjXOgCBOJRDwep0HpnKMrymkHn3fXgUqbqaK+\nx9HREWM2+/v7w6u1NlVCW5l/sQE7ypkk7YQ7IiROUrgfkwyTh/MthC+CJDGWUBaLxdLpdDab\nTSQS/F1Acu6cwwrALq2ZkFXEe0RI2D1B8AnHHHh2dnZjY6Pb7VYqFT6E9Xo9EAik0+larWZD\nb9aP6Ha7zL3xeeZCIuNr4XA4m83Oz8+HQqHt7e1isRiJRFjIcM5xVJtkNB6PEwH5hJMZIxaZ\n8GXujUR2dnZ2YmJia2urWq0SjBKJRDQa3d/f56BNuVze2NhAnqLnms2mBQumjwltFpWYEabt\ny5ZGq9WiDUqo4lIFr8vvueIdHx+HQiHW1o6Ojp555pnDw8M333xzZ2eHp0qI5wcFg0G225ir\nCwQC+/v7vDnXrl2r1Wrm20yRMh6Pcw6EwC2E+CiQWTlvdQCNNTExQVmOVDAcDhMTKNpRRCcC\n2ByYTcVR9KJUxoIF47w4PbGlgbriR3Nr0TlHhET6kMFy/jWXy83MzKAOaRHYvHJv6AYX21d4\nDjjnTMxRBbS5YTg8PGRNwbwwUV220MCv8FZYikshzW7R0msmzNKopTOTSCRscJDDGGaYxxsV\nCAQikUihUJibm8vn87w0mirMoiATJyYm+NuERzYe1/8qI4yE3RMESVur1YrH4+fOnfP5fCsr\nK85z97179+65c+cKhQKfSdK7SCTS7/cp/jtvAJa445zz+Xxcs85msxcuXGBJFo+PsbExivC9\nXq9er5dKJTQNJxbI3pCPrVaLquFgMFhaWrp06RIqLRgMzs7OLi0tccIB5TQ1NVUoFC5evDg5\nOfmDH/ygXC4/++yz8/PzjHdQBsP4l5gV8O7kEJe73W6r1TIFxrQHTn7Yr4yPj3O71lbJzALU\n5/PNzs7G4/FAIPDUU0+FQqHf/OY3a2trDCOOj4+32+1ms0kngpc5Nja2v78fj8efeuqpZrN5\n69YtJvk4FskbGAqF8JoRQnwUKB1RKKJw5fPudFHjp4C0v78fiUSIDywl8JG37U4zMbGREroE\noVAomUzG43EEChLHOUfhzXkb98QTho/tFiptXApXU1NTqVQKdxIr1TPZwjQLGbj9ULPHQ9sx\n5oEWpO3ALgjP1jlH0mjlSeccb4JN4Pm8+xm8A4y+0Gbx+Xy5XI5zRKTcNlGNXfNgMJicnGR7\nAw16cnIyOTmZy+UWFhZmZmZSqRQLc7i1U8JkqpuAb94oknSPDgm7J4tOp1MsFicmJgqFwvT0\n9NraGvPCPp/v4OBgdXUVnyQ7VD8YDLDotLyT1Xq/dxgRJTQ9PV0oFJxzc3Nz6XSa5Jj6nM/n\nq9frk5OTu7u7RB+Cl3OO2TiamHzOKYCxHUZoJl4EAoHDw8OtrS3KdXNzc+gw9ssmJiYymUyh\nUJiammKHF2c7nJz4F54tkZQ2LpZ46DYroZGsB4PBTCYTjUZNKXY6nenp6RdffHFxcXF/f79U\nKkUikUuXLgWDQQYWaV43Go1Op5NOp/Fbd85NTk5evnw5lUpdvXq10WhQz0PVBQKB6elpap/+\noStAQojfD8pUjUaDTyWLsc47nOWcYx8zFouxsE8u2mw2bYmBgTybxHXehgS2lGStfc/f2FYx\n6KUGPBgUjkajNg1CzBz2RbJuAEUvn3f9wrQXEcn21Qhitm1mFifOu4LDOnCpVOK1s+uGiwor\nEfQKSGXRtczwZbNZVBc/ERMWk5i2JGG9WnShjSOPjY1ls9mFhYXp6Wn2TpjDqdfrTHLjsYeX\np21aqA/7SJGwe7KwaQyGvcbHx4+OjsrlMncRKpXKwcEBmZmFOWsEkKGaz7itu4+NjWUymWw2\n2/duVJu/OSMdDMz1+/29vb1ut5tOp+n8MQH0AAAgAElEQVQCmFOAc67b7e7t7d28ebNWq+Fm\nwm4psQClRaZLs+Po6IjNVmyWkskkJiPOOZ/Px9pEpVJhPYKQx5VYAjfZud+70kNBzjnXbDbZ\nYA0GgwsLC2NjY3yvz+d77rnnnn766W63e/v27QcPHpBhM8VM14ZSAX1Y3qtcLnfmzJlwOHz7\n9u27d+8y+EKaSzt7fn6ezi9tDvnYCfFRQAC1Wq1SqVSpVKiu+YcOP1Czp0UQCoVSqRTudKwU\nMJ02vJTg95zwZmZmEC4TExO4u2Gf6fcO1fDT+//1sEQoFMJjhSd2eHjIxEi73aatYRZLzjmL\nnzZYTEZNGsy/MwRMkcw86gKeaXAmk0kkEhsbGxjL870+ny8Wi83OziaTSWIj12+ppbEnEY1G\nSbP7/T77tvxQkl5CMWsivDqeMy8We5TZ2dlMJkMEbjabjUaDvgQqkAEb+rDIxJ5nVi8eBRJ2\nTxYnnoFntVpNJBKJRIIBLz7Ja2tr58+fP3v2LJ9MZM3h4SH7WaS8NndiDgLJZHJ+fj6ZTOIv\nwK9MTU2xbVCr1Zy3J4HUo9FJLmtGSgTc1dVVOraoPaQSSxiDwSCVSl24cGF6evro6Gh7e7vR\naKTT6Wq12mw2EXlcYsUbk/DR7XY3NjauXbuGvygR02ZZotHo/Pw8bnaTk5ODwWBvb48n1m63\nM5nMqVOn7ty5s7u7y1G1QCBw+/btN998s1arkbtjqtJsNsPhcKFQ4O8G61BMTU194QtfuH//\n/q1bt0qlkvlgEdTQlOTWCnNCfHRI2A4ODqrVarFYxLTcOcc2PVqERi0HeGhHUl+v1+uEtTHv\nkDRLA/wznU5PT0+ztUp5jOMQbGAg4LAIYLaMpQrb5CDxc861Wi2mkBmxdZ5i63u3XM1fyb6R\nzgMqyqKuRVQ3NE1IlD48PCwWi0Q81kQKhcKpU6fS6TTCrlwul8vl/f39Me+ubjQatZk5q9Ux\nd4h3jBUL+affO8bIMEkymWQyD49ATKaazSbdD7ZJAt4RRbrhREgV7R4REnZPHGSNrA5ks9md\nnZ2TkxPuWTWbzeXl5eeff352drZcLjMXQnxxzhEWY7EYq1uNRmMwGMzNzb300kvT09PtdrtS\nqdDVzefzsVhsd3d3Y2Oj0WhgFEen1TlHvLMZF1JDIgI+vcz2Ir/Qkfzu5uZmvV7P5/Ovvvoq\n3dvj4+NSqbSyssK2r50DOjo6mpycTKfT8XjcOXf9+nUeh3eg551WTCaTn/3sZ1Op1Pvvv7+z\ns9Pr9crlMs8NZ2Nzh8/n85OTk5VKZX19nSpgpVKhS2LtWnOowmmdE9dIN27sOuesDOnz+VKp\n1MHBgd1qU7lOiI8OH8Z6vV4sFlOpVDgcfqj8RiaGzRNnxFjGworS7xkL+70zEgzGMYpnE8Yo\nLfqztCB42LoHtf8Tzx7ZugSHh4fVahX5RQOU8Q/UG3IqFAoReVB+KCHnnWfktdiLNbMVRCrZ\nJs1ivJzi8TinF2lMM+7i9/vL5bKNAPIWkbojHIlIJOeMyvHkTbA651g7ozvBBCHqrdVq1et1\n6pS2uEYBkncJpaiI9+iQsHvisAEI88lst9vtdpuu4q1bt4rF4le+8pVCoXDnzp1er8egMeu0\ndF3pUXL59OzZs0tLS+12e3t7m8/q5OQkjirLy8vFYtE8U4iVNGGZ3iMeUaxi06per5NGW13Q\neSPMpInHx8cPHjzI5/Nzc3OU/ev1+vr6ejqdJtxgiYxnCgO8m5ubrVbLOYc8Je7ThE2n04uL\ni1y/Jc8mI+fM2traWqVSIbNvNpv379/f39+/e/duvV4nkzZTU8zz0KkWyxDBm5ub7733XqlU\nwibAJprj8fj8/DzZ88Dz2RJCfEQoO+3v75fL5WKxaLtclOp93plEEkgbtmOzivEMhJ19VFFL\ntHRN1WEFx3AIgolhj42NjXK5bJYlBD1zs0MedTqdcrnMDQwTfDbNxkBeNptdXFzM5/P8UNym\n2K5Alg2GzmHzoiwoWUkMP2Q6M5FIhGCLlx46slKpmAdKwDuD5vdOwRLV19fXzerZXGCcczwT\nhufY8OBNI8On/ImRMmN5VDR5l1gWlm3no0PC7kmEbkW5XMaL0tw94vF4rVa7fv361772tZdf\nftn23pm0Y/qV7dR0Ov2Zz3yGqFSpVLa2tqjMUbVqt9vXrl1bXl4+8q6N0V9wzhFx+Dxbfkyu\nySEKwitL+z3vKHUymSSDxM6XXJD6X6PRqNfrfu+69vj4OE2KUqm0tbWFAwu/QvbMIxMlkYZj\nY2NUKDc3N6PRKBNvzrlKpVKpVBKJRLlc3tvbi8ViVPLsvDeba8fHxxhNkfiyYdfr9QjNt2/f\n/vWvf91ut1GrTOE453K5XDweX15eZoBPyasQHxckb41Go1wu46+LZHHO8S80HLA9Gh8fZ3xi\neH0BIWKBCH028HzjUHuhUIiZNqbuCINbW1uUA9E9bAkQ/dBVLJNSzje/TPOWw3LPOTe8ljEY\nulTGmhfDcDx5vouxE5/PV6vVSqUSFno458ViMWuV4N/pnGOhgd4CAdkc8hiA4S+ItbW1ra0t\nRuVMgBLosG6Zn5/HK4BS4uHhYaVS2d3dxT3eej4stZDH0tix2UHxKJCwexIhvWN5PpPJbG1t\nUWYnK71///7Vq1eff/75paUlBtpYgGCJ3TnX6XT4ykqlwiYBWSDuJ8lk8tatW++88w5JG3mb\nVd1YLKAwRlOSriuxDzMR60oMvBM61iyggTI9PR0IBNBzTDGzYkYoYa+Cfiv5Kw9CKLREloSb\nYls0GqWbXKvVarWa7aDxo9nDqNVqY96Zbf7msEVa0ncy6Ugkglvy008/nUgkXnvttZWVFZ93\nL9LGmZPJZKPR4Cu1NiHExwv1IUb46WmODYF/Z7PZZN4fJcc3Uprye5fBBt4dWIKP2cJRA0sk\nEuFwuNvtlsvl9fX1nZ0deqZW4SOIYXHCeWiW4pl+I7wQqbAjpoUSjUbT6bQZwpFGIigpNzIN\nMjwOiITCgqBUKmHSjksfPsM8ee4rojIJwrjukegSRRkdqVQqe3t7SDQbp7MOdTgczufzS0tL\ni4uL7JTgHtVoNLa2tnZ3d4m6vKXEYQxNOchrx8RUsXtESNg9iVgZn5utU1NTtVqN1oBzbmVl\n5erVq1/84hePj4/feust9l7xOnLO0SZwzv3617++efPm7u4u6vDo6CiTyczPzwcCgRs3bmxu\nbnIfjDhoVTqGeZFHtktBukxxfmpqajAYkHHiR4DgG3jumoVC4cyZM5ubm+VyOZ1OD7w73zwU\nXVQG+Mgg6R2YcmLEhFAbiUS63W69XseLrlAoHBwcNBqNdrtNvMtms9bARerhVIxepO/MqyAn\nbrVaU1NTly9ffuaZZy5cuPC9733vF7/4BbKPPJipFEanNzc3WY4zT1EhxEeHmHB8fNzpdJgz\nYcADrYbHZK1Wq1Qq09PTbPozOzFsXIKOsQUvLtzguBsOh+lghMNhBtE2NjY2NzePjo5wFaF8\nxT7++Pg4pgFYHaGZ7PgsgpJWA3ouk8mk0+lUKoUWtC1+djV45tgLMNyGGiNZtUT34OCAwEuv\n2RxDS6USeSy+JNlslmycw7VU7zqdzvb29sbGBn8pOO9uBMrPMvDp6en5+flCoZBMJom6+/v7\nOzs7GxsbRFRaw2zF9Xq9Wq1WLBaZvbNdkMf9f8rIImH3hMLmf71e57ofmRzjZdVq9a233vqr\nv/qrfD5/48aNSqXinOt0OsQO5pFrtRpbF2gvPqiLi4vpdPqNN964ceOGc454RIbHxrsF3MPD\nw1gsVigU+v0+UYAFeKIAm62DwQCTvGg0WigUuNOKsSdnM/AWoeaHsLPAPTExQeeU6RAzNyFY\nE5uSySQhiWlf51wul+v3++VyudlsxuPx559/fm5urlKp8LCRSOTw8JCoZFZSNrnC5ZzZ2dnn\nnnvu4sWLs7Oz77333g9+8IODgwOzp6eBwjvTaDTMPUvCToiPHcrqrK8eHByggWg4IviKxSKf\ndOIMAyp2mcYkF7+CR3q/36e5aWd49vf32RLrdrvZbDaZTMZiMXJaviUcDi8sLBQKhWAwSG/B\ndi+skO+cIyiFw+FEIsHWF11jn8+Hk6jZjtTr9UqlwpwuwY1H4ItZy6UzgB8TpnRW6iMWMfpC\nCxVp6/NMgw8ODiqVClOAzrnJycl4PG4na1GTrIwkk0kUIT+3WCyura2VSqXhITzKeO1221Zx\nsSxQH/aRImH3hILE4ZZOoVAolUo4FbFUde/evZ/97Gd/8zd/k0wmHzx4QGuSGhU3UmkE4MF7\neHgYDAbn5ubOnDmzvr7+q1/96uDgIBwOU4fjjCz78NbLYFZjZmYmm81+8MEHd+/eNdsk9uF9\n3jVDng8OKadOnZqfn+dBGK1rNpvMcCDaSHzxtGMajy6Gc848kBF2DBci/tyQAVU2m0XP5XK5\nZ555xufzra+vE9B5EFthCwQCqVSK6Wbexmw2e/r06XQ6vbe3d+XKlV/84hc7OztTU1OsrZkN\nKYl1o9FAaxLiH+v/C0KMGjYQhuuHjUCg4egMlkqlUqmEiiLBY+uz0WgwJGemS61Wq91u8xmP\nRCKRSIQGLuu3W1tbrVYrmUxOT09ns1kEX7fbrdVqwWAwFotxaItbjr1er1qt1mo1i4Qs1/ME\nnHN29ctmPGizjo+P08GkC8GiLqUy2/mgNWGOyvF4PJ1OM3CCKDS7Y360+bkQfnm7SJiHB+8S\niUQmk2G/mBQdXUu7maHnvb29+/fvr6+vHx4ekl1PTU0lk0msRtGUeFcxAiSvk0eKhN0TCgNk\nXAxLJBKzs7MrKyuM5WLF/uMf//ill1569tlnd3Z2tre3GTThA8kEibVZw+Hw4uLi5cuXJycn\nb926tbm5SWg7OTnhbDZHrzmltbGxgQ4LBAJzc3PPPPNMvV6/f/8+4YlqP94ozjmOgxGaT05O\n5ubmZmZmGHYmf+33+6FQCEmH6vL5fHaXsN1u85UEO9QYjxyPx0+fPp3L5dCIrVar0WgEAoEz\nZ8584QtfIIs9Pj5eXV29c+dOq9XiEgbHiHjT/H5/KpXiKsZgMMjn8865W7duvffeeycnJx98\n8MG9e/d4Cc45BvUI06dOnfL5fKVSib9p5GAnxKOAih3+w6Yk6B5QfW+1Wjs7O/l8HqO1UCjE\nykW73d7d3bWNq06n0+l0QqHQwsIC8xt2l4KhYQZa8vn89PQ0lsg+7/Ks3+9ncxZ1FQgE7PYr\nVSuyREZHsMFDg9rChBs6R2Hpq3MOtcdVMf4TqxFeKb+bz+dzuVwsFrPQHfRAkPG3QN+7fNPt\ndq2qR3Sy5Tbz1Rv+d593SLdard67dw/HAERqLBbL5/OpVMrn801MTOzv71cqFcz8tA/7CSBh\n94RiiqderweDQYrq+Goygnb79u2f//znX//611955ZXXXnsNww6GLSKRCJ3HQCAQCoUuXLjw\nwgsvpNNpQmEoFGJy1k5+5fN5BFCn0xkM3cM2w0znVdSIU/1+38zz+EHOuUajcevWrUwmMzc3\nZ0HHOceyPaO4ZvWJu4rZaSLsjo6OKDH6/f50Or2wsMDGK6fAtra2kJvj4+OpVAqDU2aHeaU8\nCG+OLZFsb29zbJERYxLo69ev37x5Ew93hurYAnPOhcNh5rXZ/Nc+rBCPApv6oDWJvCMXJYiF\nw+F2u723t7e3t4cao7rGoAiZHhWmdrvtnEPVsYiAyQjLUqFQCAWTSqXYkHWeFCNM8V1oKXMq\nMemG1qSKxhguQdgaEfaK+HbzbXGem7HfO5XRG7JGD4fDuVxudnaW84YEVToVJ96BWpZkGWVm\nUA/5Va1Wh4dGqOHh4UfRjufABsbR0VGtVltZWbl169be3h6qLhwOp9PpXC6XTCYZYsFOoVgs\nmrB7TP9fPClI2D25mCkAxfZ8Pk9caLVa2Wx2MBj88pe//NznPvfqq692u90f//jH1Wo1Fotx\nHxrBxFIFc29clb5w4cLdu3dv3ryJJzvzIslkEg9P1tDYlp2dnZ2bm6vX63t7ezgCIOYY+yWl\nY83Czkhsbm5evXqVo2djY2OoNKIMrWEMMGu1GpPFrLjijcKXEQcTicTMzAyyst1uN5tNjlIE\nAoFqtbq8vByNRm25rF6vEzR5kn7PNpkBPp7t+Pj46dOnX3755cuXL//85z9/8803ucBGRn5w\ncMDfDcymZDKZp59++uTk5Fe/+hXB/XH/jyDECGK77YzZtdttG/+nIUuPdXt7O51Ohz34XjTT\n5uYmH3A7RDGszJxzwWCQY4wEHEIQcyNU/VmJYGHLDIpxAyAiUbji+eCC2Wq1cDCmNIgGQv/5\nPVN3hmFoyNqcLrad7Nsmk8nFxcWZmRk8kK1cZ2YIVAqtn4AoxKmE+EkhkHawc67X66VSKSyx\nWBxhdK/ZbO7s7CwvL29vbzOiTWRGzjKWRzEyFovZFKP6sI8aCbsnF9yYut3u7u4uEYoUFnkU\ni8V2dnb+9V//dX5+/tVXXz05Obly5QqzJhYp2IS6detWu91+/vnnz58/f+rUqS9/+cvj4+O7\nu7uTk5NLS0unTp3izCsJXyqVIlBevnw5lUrdvHmzUqmYDcH4+Dh2AMQvan7mHdXtdtnYOH36\nNPkxE8RTU1NcvHDOsX7FtRxWK/x+P4kpAyLRaHRxcbFQKNBn6Xa71WqViT3SU9Lrer2+vb1d\nqVTYg2MT1nmVTnNmYhqGFdp+v//GG29897vf3d3dDYfDSDrzjgoGgzMzM5FIhPFhtmsJrEKI\njx0r2jHLgbBD21nRbn9/v1gs7uzssPFAl9ZWrOxjzoNQwGPczXwraXRSFGQ+jwljqoD0N3An\nNi83QijuejxVOhg0H9B2XI/gP+ntWmOUSRj299kw45FpGTMIODc3t7i4mMlkeG7DS2bOO71j\nMypkzs1mc3d3Fx8+4i0RHoc8vAUwq2ehLRgMsn63tbW1s7ODgz0NDTYqGFy2127LH2yePcb/\nMZ4EJOyeXHreYcRarRaLxRYWFjKZDIEJy+JMJnP9+vV/+Zd/+fu///svfelLgUDg7bff3t3d\nJdbQnWw0Go1Go1KpUBi7dOnSc889F4/Ht7a2er1eOp3G4giZ1ev1cKorFApPP/30YDCoVqs0\nLGhZ4iCA8S9hhdNntAnYVqOZUigUIpFItVp1ztk5SKIPgZguZzAYRF1xmBUrgaWlpVQqZdEK\ng/VqtYr86na7U1NTOzs7u7u7fAErt+SjtBJs5AWvE8Zo7t2798Mf/vCDDz5AwiL1Go0GS6/x\neJwm8v3792/fvo3QfLz/Awgx2iDs7MgppxStK8q1CY7ToFRSqRSlMlNRVOnq9fpgMKjVagzv\nEsTMrdc51+/30Ygcm06lUnyjWTvxZGjydrtdlBwFQtQPw7t2fQs/PDoDND0JOAg7pkGoz/FM\nmEseHx9nyGRpaYmRj36/z3IuPlPOObrSw8tqfM3e3t7Ozg4unrFYjKFkLm3YK2V0j5HEXq9X\nr9c3NjY4TcFzY7XC3E+Y9mO1olgsNhoNpqUl7B41EnZPLicnJ/iuBYNBTOCi0Wg8HmcGgiNj\nfr//Bz/4Qbfb/cY3vvGlL32pUCi89tprH374ITsT7BOwFrqyshKJRFKp1Nzc3NmzZ+fm5tir\nBzZSo9HowsLC8fEx+/87OztmJsJmA1U6LKNsFZe5tHw+3+12qdIFAoFMJhOPx7FiIQqHQiGa\nqhh10rxgYoaling8fv78eW7d0icleNXr9VqtRpLaarXu37+P0CSc0YFF0hGsyT6ZJkE7nj17\ntt/v//KXv/zwww+dc5h8mte8cy4SiRQKBSqdPp8PParoJsSjg5hDj5KVf8QQPVNKd6FQqNVq\nFYtF/tPv97PIiQZCrJBAMnZWLpdpy05NTTnn6KuiDovFIuaaDMBR2LNVAz77nU6n2WzSqw2F\nQmaWRDBhy5XZYmKgz+fjmZiLE4VG7kDyumyjPxQKpVKpxcXF8+fP465CcKtWq4eHh6lUisVb\nBFm73Ta7E7oWe3t7CF+8l8lmifCMC8/OzuKZTIhuNpsPHjy4e/fuzs7O8fEx2TsBHM8ULPdQ\njRsbG9QCZXTyySBh90TDtlcoFDo5OanVamR73GwNBAJMnjnn3n777bGxsb/7u7977rnnEDd3\n795ttVq4LtnW6urq6unTp6enp0k6Le6QjLIYEQwGMVX3+/1cv3HO+YduWjO0x/fiq8noLi3X\neDzOsRozEY1EIrlcbnt7m2EUHornEwwGSTfHxsampqY++9nPvvLKKwxN88Izmczq6ipmJeaQ\nzD+takj5jaohD0UBgBbD0dHR2bNnI5HI22+//c4777RaLf6GMMc7dCHmf6za8SZQBnhsf/BC\nPAFQysJYmNZnq9ViTs45hy8xud/m5iazHIPBgDFi03bhcLhQKNhiwd7eHnZu1KXsvsXe3l61\nWmVvjMFlOwsxMTFBT5ORD1ylUI0s9dvIHW1WanvdbtcyQ/MZcc7Z7JrdBzODYq5BzMzMxGKx\nXq/HKka73SY1nZycxBi50Wjs7u7SDkalMXCSSqXm5+dzuRyeo5gVsyiGeTI7toPBoNForK+v\nf/jhh2trazw++TbimGfFSA9pc6lUQl9K1X0ySNg90aBgmCOuVCrj4+PxeLxQKDAyUqvVDg8P\nuTPxk5/8pN1u/8M//MMzzzzj9/ufeeYZ59zh4eH6+vrKygonbra3t69fvz4zM5NKpTY2NuiH\nor2YmSOEZbNZv9/PmkKz2aTexqRIo9EYHx/P5/M+n496nvn6Umlj83RsbKxer1snIpvNUlwM\nhULmq8RAiXmyXL58+Ytf/CJewcTNeDyeSCR8Ph8tA45J8AwZgnbORaNRyo0zMzNY6OEOiuXp\n/v7+7OxsNpt95513eH/ozLKr4Zxj8o/pGSb/eDlspcmXWIhHCsV1tBetCX7d50EPlEbq+vo6\nVfzFxcVEIkH9ic9yNBo9ODjA86hYLPr9/snJSbavbHGBOMNASK1Wc84hpzgkzchHtVq1ih0j\nblgNMHZi7U5mPDAZsKZwMBgkzzRhh3Ak1AQCAdZg8/l8NBp1ztmoCd1bq6XRusWlhW/nfcjn\n82fOnFlYWOAJM4SXTCYxiGFbgjew1WptbGzcuXNnbW2NoR3eB6QnP4hfaTab3GlkxVj3YT8x\nJOyedLhqZQtZTGkcHR1xIYdkjhD2H//xH9/61rcuXLiwtrb2yiuvfPWrX8XmzTmHr8fJyUml\nUrl582Y6ncbkE8tywoTNI5MIku3RjqSdQXbLyFo6naZox2Qek7nT09ODwSCZTJpZlIVdanvI\nODyKY7FYo9GgVTozM3P58uVgMLi6ulosFjFhIVMPh8MEWXou5szknKPgh4q9ePEiV4mI2js7\nO51OBzeBn/70p1euXGHdxOIXM8uEUa5JTkxMnDt3rtVq3bt3j4kftWKFeNRQKmu1Wq1WKxKJ\nYLrk867BUsZD27XbbbTdYDDA3IQqmvOO6LCCyqlTSm6ILfqb+HrgWMlMXjqdRuoxIlwqlWh3\nUvtnrRVdRbuAOWMWaZnAMwNheiBIQFNpzLoxMhgMBqenp/P5PM+BBz/xLnFbO5iTPDRbMYJx\nzmF3tbi4eOrUKUK9rThMTEwwn0PTlsbO3t7e8vLy6uoq+7POOR62UChQ7eNFMdxcLpcp3e3v\n79PBUNz7BJCwe9KhrMUMme1MzMzMHB4eMjyBPS+bp1euXLl27Vo4HH766afb7fbVq1cRZ6xW\nkaLdvHlzaWmJFi33wehp2vxvo9G4c+fOtWvXtre3bYaXB7GZXPbXkEQ0BYrFIgsHqVSKHgod\nZOfZ/3JVYmxsLJ1Oo8BIWDOZDBu4q6urzHk457LZLLu309PT09PTXLwll2X8zjl3cnJSr9ex\nLM5kMjjVMfUyMzNTKBTm5+d/8pOf/PSnPy2VSslkkoE85xx7ZPb2ctDizJkz2Wz29u3b6+vr\nSFUFOCE+ASjaEYvIYHHrpDDGygJGa9TtKFbNz8/TkzXncx6K4TYSy3g8zrUGFtGISEQYTi9M\nTU0xmFEsFh88eLC9vc2GPhMmFAjJKnkcoujY2BhppOk2500SozWp1SH+mP2IxWLT09Mc2ma4\nmchJqOQRiJ/JZPLUqVPOua2tLZQZlgj5fJ4LHJgA8KJYpGANdnx8nN7u5ubm2tpapVJpt9tH\nR0fBYDCRSJw6derUqVPJZJLeC67L/Gi64Z1OR/uwnxgSdk86FOpY3eLz3263x8bGpqenSXPx\nuuOzSsz667/+6y9+8Yv8J71L55zZOOEwvrS0RETjWiI/izTu7t27V69eJTm29TSeANqIgQ8O\nHdZqNYyXWq0WTpsMQcfjcYyUnHNcj8AaNBgMZrNZGrXkkWfPnl1aWjo+Pt7c3Nzb22s2m4ww\nY1M8NjZ29uxZPOjJX60tOzk5OTs7e/78+XK5fP/+/YmJCcI0CW4sFrt58+a3v/3t+/fv8/wJ\n7vwFAOPj4/Pz89wo63a7t2/fvnPnjozXhfjEoDzGTYVGo4HQYb3J7x2PjsVitC85QrO6uoqm\nsV0KJBHTcjRkCV+5XI7lA+ccv8XoBb+Vy+Wi0Sh9jJWVlXv37u3u7lKxI4h1Oh0aprQ46SEQ\nDwHzARrKxEa7PEEPNxQKYb+XSqV4qqzB9bzjjYzx8SDEtHA4PD8/H4lEstns3t4e4ZrIxnwI\nccxKlahJkt79/f29vb2NjY1yuYzAHQwGmUxmaWnp7NmzMzMz+LMgW9HTDDgyNqO494khYSf+\nc1efRgPWl41GI5vNnj17dmVlpdFoUMxj/HZ3d/f1118/f/78n//5n58/f35ra6tYLNLBJAH1\n+Xz1er1cLk9PTzNIixiiDt9sNldXVzc2NjqdzkOxw+pYFPCs0cDuas+7Y1ir1YrFIjcZnXP8\nlq2sYlZcrVaPj4/Z0jh79qzf79/d3cWwqt1u0xeIxWLJZHJqaur06dOzs7Orq6vLy8uNRoNj\nXzR5cUV56623kKf4LRcKhVAotBYNyZYAACAASURBVLy8/P3vf//dd9/lrwSU4vAEid/vX1hY\n+Mu//MvTp0/fuXPn7bffplZH4FOAE+KTgaQU49+JiQkMmBAf9DqRR2zcc/6VqBUOh0OhEO7r\nbIZms9n5+XlcS7a3t4+Pj+PxOA9i7sc0fLPZLL+1v7+/vb29vLw8vBZqyTDnyLi7yrNtNBpm\nfYIGRdX99qkx5xy6DQd4riBSaWN4mmocRT5ucPd6PYQgPdapqalwOFytVlG65XIZSwGEHU+A\nWh3t1O3t7bW1tWKxiFCjnjc3Nzc/P5/JZGzJt9/vt1qt3d3dzc3NnZ2darWqAbtPGAk74cgg\nzU7deqacUiVAkJXSILh///4///M/O+deeeWVz3/+85jbWU7JkPLx8XGtVpucnOQuhc/n63Q6\n9C8ajQalPloSpJVsj/JkqPwxlheNRjk7hg8wRiG9Xo8Lj865ZrOJTrJxllKpVCwWOadx4cKF\n6elp1tmq1SouxMfHx+VyeXNz8+zZsz6fb29vL5vNfuELX5iZmbl9+zbPkxyXdkOn0wkGgyjC\niYmJpaWlZrP51ltvXblypdvtFgoFfIzNXN455/P5UqnU0tJSOBy+c+fOG2+8sby8TLOG7Y3H\n+MctxBPFwDv5UKvVaCzE43FyTiIbxwa5msUmRL1eX1tbi8VirCkw1jY1NTU9Pc3ECEcpDg4O\nOP+KSKIEODU1hdhiZpcqV6lUoiFgUY4bFbhBHR4ecqaCnkm1WqXHarezef7OOZ6hHYSg2RqP\nx2OxmN/v39/fJ7wgrZrNJn1b1vBpmDB4R6eY2T4S3Z2dnXq9jid8IpGgKcHOxGAwqNfrOzs7\nd+/e3dzcpI3jnItGo7Ozs7Ozs7x24v/h4WGlUllbW7t3797Kysru7m69XmcBTtnsJ4aEnXDO\nObJAxNbExITf7y+VSrFYbHZ2tt/vLy8vo/B6vV4ikYjH42tra9/61rei0egLL7zQ7/fffffd\nUqlkg2V0BLrd7vz8fKFQ4EAh6S/qqtvt2pAvcQoHAbOIsxIgY8JYvdMj5qnSVcE1lLEV5xy+\nd8458uZcLjc/P8/D+ry7iszwsnW7urra7/c3NjYajYbf70+lUmfOnNne3i6Xy0z+UoBkBKff\n7+dyudOnT/d6vZ/+9Kc/+9nP6vU6Sxg2HWiluEQiMTc3NxgMrl+/vrW1tb29TdCnUfIY/6CF\neAJhxaHT6aDtbB2B3JKPcCAQiEaj9A2w51hZWaGPkcvlUDwskEaj0UwmUyqV7IZEKpWi62rb\n7slkknob5nmsYdEVZXOfIWDiKhPGVNe4lM0MMaU12+gijllc4sdRWZyYmEAjEj/pcrRaLdJm\ntBojy4zfYYbH7a/JyUm0F3skGOaxM4EbS6PRoOjIaB2DgHhzLiwsJJNJ5xy9VyQgqm5tbW1v\nb4/4bE7O4pNBwk78J4QYO3WFgxFlJ9I1VNf+/j4dh1u3bn3zm988Pj5+8cUX4/H4+++//+DB\nA+cchbR+v59IJC5dujQ9Pc0VioWFhWAwyN4ot3oODw85JsGwCLkpiR35JeGAAEe/mBEZAiXR\nmVBLMGKkj3+n00qxkPDknLPts2AwWKvV3nnnHb/f/8orr+B1PDY2lkgkYrEYSs7O49BHWFhY\nuHz58snJyWuvvfbmm29SveO3rB1MGh2Px0+dOpXL5TqdTrlcrtfrtp7Gksdj/XMW4knEPO0Y\n8KAIh4yjH4qHHC7rNFuxrKOKls1mMVpiqYujz7VardfroYHY9w+FQkzuJhIJIpIdwuHn2rkt\nSoNMqvU9yGkZOMEcwDnHfBty0Pqw9p90WomWjMfZwDT3FXEStZ4yCxDM2yFSY7EYo8zhcDiX\ny83MzOTz+WQyycBcs9nc2tq6e/fu2toad4m4/ZNOp+fm5jKZDJqSWZROp7O7u7uysrK1tVWv\n17GF0lTxJ4+EnfhPrCFLIY3xW6bZFhcXMbpDjR0cHLC4cPXq1Wq1+rWvfe2rX/3q1772tdu3\nb9+/fx+LznQ6ffHixaeeeqparV67di0ajc7MzDjn2u02yTECy7q3iUTCedd1MDemxsYTQ27y\ni5jDsbpPxLRTE2TD/DtJpzlnOuds8Y0m7/j4eL1ef/vttweDwcsvv5zJZJgFnJqaIgwlEgl+\n7mAwuHTp0sWLF7e2tn74wx9eu3bNOZdMJlmv4+3irXPOJRKJ06dPp9PpTqeztbW1t7eHKSgD\nK9r2F+KxYMv7zWaThVOmcokk5F0YYbKLQFdxZ2fHHgEvD/JG5F08Hu92u2zXMlvGt3NVwrq9\ndhlsamqKSh5hyib/KK1RSnRe54HCGCOA1O3o3po3O8GEh6JER9wzCxV2zkjXufTFZVu2Saj2\nxWKxTCaDN0omk5menua098TEBFbGGxsblN94koRc7E4zmQwxjaIjTVhOxzabTexUbLv28f3J\nP4lI2In/H7Sdc474FYlEGJWbmJg4c+aMc47TrhhB0Zi4fv36nTt3bty48Y1vfOPVV1996qmn\nlpeX+/3+zMzM0tJSv9/f3d1Np9Ozs7ODwWB9fX17e5saGx97ZuPwkAuFQtFoFKt0ayscHx9z\nUmxychJnqaOjo2w2m06nGYDjzhgxETHHEgPx1+4IsRPH1zvn2LpNJBKHh4dvvfWWc+6P/uiP\nSOKXlpZu375Nsk7d8XOf+1w0Gn3jjTe+//3vV6tVvNfZuuWABP1f51wgEEin08lkEiNTdsec\nc36/n6009WGFeFyYX3G1WvV7OOfw1yT6MY4WjUaRNd1u15oVvV6vUCjg02uunIQU4ow5jPAg\n/CwbFLHrEWYv7PcuTe/t7WF9R+wyYzw7IEactBVaSnTDt3ao3tH9QPNxEIz5mXK5HI1GuZPL\n9W38DdgInpmZYXUjlUql02lGAxlo3tjYWF5eXl9fJ522b2Hnd3h97eDggLMcxWIR5wFG99C1\nj+/P/AlFwk48zNHRERkt3iWBQICrD/Pz8xbs+DCTm/Z6vddee213d/frX//6V77ylT/+4z/m\nuMLk5CQBdHFxMZlMrq+v37hx4/bt2xTzaVzSDiBznZycXFxc7HQ6Dx48oLBn7nd2xYvNhkuX\nLkWj0Xv37m1vbx8dHXFjkW6FWRgwWeL3+9vtdqVS2d3drVarVASdc4wtM6iHIV+hUMDE+OLF\ni51O580332w0GjMzM1za+Pa3v/2jH/2o0+lwJhyJRgEAVUd9kas7aDi+hl/nzZSqE+LxQg+U\nC9coM5N3NFXNGZjdAs5PE2eYipuZmeHYdCQScc4xVGeOdM5b86ftYAdy+C3+yTYGAyTsZ1Co\nq9frxFXqWwhEQjEPS4nx8PCQpurw6QjnHDbFREsKgcyuMEXXbrf39vY47WiNCLQmebVzjnju\nnCMvXVtbo6mKqiMUsxeSy+Xi8TjilWs61WrVUllyabxjKA2qYvcJI2EnHsZMnija47HEgYfF\nxUVWDcyRmNM6ExMTa2tr//iP/1gul//iL/5ifn6e4Yxerzc7Ozs2NsYdaOr59XqdK7QEUNay\niGJs1GazWfI8IgLhwzlHJjo7O9vr9f7t3/7typUrpVKp0WgUCoV8Pr+xsYG84xSjjfExIFgs\nFrEVpddMzm1HyVZXV2/fvn3u3DnnXDQafeWVV6LRKHdsb9269eabb966dYtxZpJmBmKwX+GJ\nmWuxz+er1WrMlyCRw+GwVJ0QnwZQGAzbmS+d8yaMUSGEpomJCQQclf69vT0UTKfTmZ+fT6fT\nDOCSuREcMOCkkH98fIyFm1mR05Zln5TBOEb9YrEYx29Ys2V6GNlHxLOKF4XAfr+fzWbxB2Al\ngljHC2EftlgsVqtV7EhzuRz+84eHh41GIx6P0x7hAenScnuDJ8lw4dra2oMHDzD+ZDmMvwIS\niQRGB7bHxg3ccrlcrVZ5/tYk0TLs40LCTvwOWOZi0d3CWSqVYi1ga2urXC6z9xAMBhFMoVBo\nZWXln/7pn5aXl//2b/92fHz8vffei8ViX/7yl8PhMAlcs9lksYta3djYGIrn5OSEOBsOh3GK\nohDI3WhzBz0+PiZlvH79+rvvvttut2Ox2P3798fGxp555plisTgYDPA0HhsbSyaTXKTFaQ8X\nAH5iIBCYm5sLBoPLy8utVgtzFkZkrl692mw2X3nllfPnz7darStXrrz++uu1Wi2bzWI0yoge\n5Tob7IvFYvl8fnZ2dnx8nBETdm+dczb+8rj/SIUQzv1XbVetVu1uPckkao9WKb1L/rPZbDab\nzfX1deLh4uIivUj6qtFolEIa9XvijPOudR0dHWE1guEAzQSKdvyTij6poN1mZcqN9q6dLLNz\n2MfHx4lEAqXFt7NRS/GsVqsFAoHFxcXFxcVMJoOdHmMhCDjCL6YqzjmWSLjrure3t729zXxw\nrVbD0iUUCrEvwuQxIpLvajablUqFvVqmjflZdGZk7fRYkLATvxviF9rOfOyCwWAqlTp9+nQw\nGETbtdttDN5YodrZ2fnOd76zs7OTz+dLpdJnP/vZl156KRwOx2KxdDrNgoIJNZoOwWDQdvhD\noVAikZienk4kErVarVar2XUKtlPHx8cpm7Fdj5q8cePGs88+W6lUPvjgAza2MpnM2bNnp6am\nLI9k5Y0XlUwmL126FA6H2eHi0C3atNlsfuc733n77bfD4fD777+/srJyfHwci8XM7cksXexS\nbT6fn5mZmZyc7Ha7tVqNNVhyXCqIaMHH+ocpxGgyfOjlf18ZGj5HgW7j9EKn0+GGDesRlOLM\nebjZbLJAwADZwcFBoVCgaMeDEJpsxQEPTlYxZmZmDg4OnHORSIRr19gwMbKCcxOpcrPZ5PDr\nsGEKTk+M6JmveyqVImoxlsfyLB1hHObm5+fz+Xw4HB4MBtggU1/kdfGc2SnBCGZ3d3dnZ6dU\nKtVqNbw/uTnErdhsNmubH2YfQwfWLIjZJmbGTgfEHiMSduK/hck25xy5LOqk3+/n8/mLFy9u\nbGywA2tfySZ/q9X63ve+x9oUCw0vvvjimTNnnn32WQ62lkql4+PjUqm0vr5O5wJtNzk5WSgU\nTp8+PTU11W63c7ncrVu3bISOQz2RSGRhYYEj1ltbW+l0ut1uX7ly5dKlS3/2Z38Wi8XW1taC\nweDZs2fPnz9vXQymXrBxyWQyly5devbZZ30+X7lcJszF4/Hz58/TIO73+z/60Y+wA2VshbZy\no9GgsOe8gWX85RcXF3FgoW1Bq4UluPHxcYYFH9+foRAji3kYuf+LqgMEzcHBAUrO5syw7aCW\nhu2cOZ4wYVyr1ZrNJuMWS0tLnMCx3VXzs2R6LxgMktOayrGKINZR9CvwGUEL4hJcKBTQdrRE\n0EwILNYjnHPsLuADhfud3bl2zqXT6XQ6zdfYsDJueZQhKSJaoY4qHU2S/f19DEf7/X48Hh++\nJGuBtNPpVCoVjpIdHBzg3sKkjUbrHjsSdqMJ9aSP+CD9fh9bOAyf+v0+lXnn3NzcXDabbTQa\nxWLRXNworTHEdnx8vLOzUy6Xr127dubMmRdffPG5556bn5+/cOHCpUuXjo+P7969m8vl6DXg\njZzL5S5duoQlMke4z507t7q6SveBxa4XXnjh9OnTr7/++vb2dqVSYXvrjTfeuHjx4le/+tWn\nnnpqcXFxaWmJ/kK3283lcjs7Ozs7O1ilnD59+uWXX7506dLMzAxbt/l8Hmur/f39b37zm2++\n+ebe3h5lQgbyuIfIfpnz9ltpJWcymUKhgMVxuVwmTNNqIallvfej/2kKIX4nVrH7PeQdZSds\nNfnATk5OorTISFFgVOyi0SilONxJGo1GvV7f29vL5/OpVCqVSlmbktDBtgGxkX1VrFWct5yL\nGSd7Cdij4L5JxzYej3PvCyFFCGq1WpT6aBPz+Db1YQ4saETyYbO7Y2iPTgK1PdxJuLVYLpcr\nlQoXz+jDNBoNYnKhUMhms1Q06d6YFiyVSmxLYF+A/R7rJrI4ebxI2I0mH9eHip0vnNBx+Ox0\nOhsbG0dHR4lEghbk1tYWPpx2NMLW4FnR/81vfnPjxo35+fnPfOYzL7zwwtLSkt/vn5mZwdkY\nyUh/Fg+5brdLi/NP/uRP8DFfXV2NRCKf+cxnXnrppVu3bn33u9/98MMP2Y2gpfLtb3/76tWr\nS0tLTz/99Msvv+yco8ly4cKFubm5paWl3d3daDR66dKlU6dOBQKBWq2GVjs4OFhbW7t//365\nXN7Z2SF9Z54P0wEmRZB39t5OTU3NzMxEIhFWbjmn65wj1+dgIs3lj+VPQQjxP/P7RTxiGt4f\n/X4/FovZrQXWRX0+H4sCY2NjsVjMbks0m01G9DY3N1OpFPMY+XyeZgL3KuixmtcJlT9UnZ0j\nM3c6s5qjsUurlN0ytlwrlYpzji8YvgBrzp3s85Ja8xNNR1KetOtkmORVKpX19fW1tbVyudzp\ndOi6MKyC7Usul5uenk6lUghEanKdTqc5BEfMhl2ldGfi04CEnfh/QCAgHQwGgxTqHzx4kEgk\nFhYWpqene73e5uam9WqdczQOcOXljuHExMT29vb9+/dff/31ixcvnjt37uzZsxT2EokERnTO\nMyMgW41EIktLSxMTE/fu3fvc5z43NzfX6/Xef//9f//3f//www+pwHG+2jn34MEDstKpqamb\nN28uLi6Oj4+vrq4Wi8WzZ8+++uqrXLC+f//+8vKyc25zc3N9fX1lZWV9fb1YLLbbbTopzjnz\nJuh2u6y5ERl5aRgXLy4uTkxM7O3t7e3tkeI750jrA4EAUVJTw0I8Uh5SD7+HmDDXYjb9USTs\nIrDOhYxjlWFiYiKRSFB7GwwGnJ9uNpv8CxWsVCqVTCYTiQT1NpvPo2CGsKNtSmGPjNHWNVhH\nY7zPXPcqlcrm5ubu7i4zx0dHR8lkkpk55GA8Hrdmq7UUeIFoPnJUSnHMCtfr9d3d3e3tbUaQ\nKbnh58JA3szMzOzsLGN8KFHKeOwIowIZKETStVotRpC1MPFpQMJO/L+hNub3+7lvzee5Wq1O\nTExwBJptULq0zjm7V93pdKiKZTIZzJM2NjZWVla428MpHq54zczMnD17NpfL4Z/JRN3Ozs69\ne/cODg7+9E//dGxs7Fvf+tavfvWrdrtNp9U5x9Ee5xx59m9+85v333//9ddfP3/+/Llz51qt\n1rvvvttoNCgEdjqder3Oy+EaLBZ6R0dHzE1zJazX69FcGNZzMD4+XigU5ubmnHMbGxuoOn5r\neEZHU8NCfDKwZe8+Qo/CtB2fdwpmoVCIaEZ86PV6hD6WScc9SqUSWxQ4m9TrdRYjkslkKpUy\neUcHw85VU8wjYjwkg1B7ExMT2OC1Wq1yucxOw+bmJvfBjo6O8vl8LpdzzkWjURQh7Vo0HLPF\nFBetQIgArVQqtVqt4UGxjaIgUX18fJxVj9nZWSxdmKhrtVq7u7vmfsItH3qyzB+zPCFzk08J\nEnbifwvXY+kvcBNsd3e32+0uLCycOXMmkUjcu3ePXQE+2xZzDw4Otre3JycnU6lULpfD4pgG\nLtGH7m08HmdUBROpZDJJJ2Jpaem73/3uW2+9defOnVgslkgkcrkcyoyZNg773Lt3jzh148aN\nH//4x+bnaX54ZjpKAKLTQaZr22f2lB5KOpmDXlhYWFxcHAwGDx48YAWEF0hSbmewH8ufjhBP\nJh/9E0eJi4KWc455EgTNcOmdMEX0YwciHA6zPWo7oQidWq1WLBYjkQjW7lNTUzR5KeBZac05\nZ6ddkWV2aqzb7dbr9eGdU4Kb3+/H0KRSqXDUKxKJEOUQoOhUO2A9rOoYpGu32zQlrIxHz4G8\nPZ1O87DMC/p8PhZdi8Xi1tYWexJu6JSOCUTeKEW/TwkSduL/AOoHU5Lj42MmiIlNiUTi0qVL\nxWKxWCyS/DlvTNg5R6w5PDycnJzkP7m0Q3AkQ61UKsVikeYCc81s2p47d+7k5OTDDz+0Kw6h\nUCiTyVQqFWxKnHOM+mI7jHMyj8ABHGIlkZR4Z9bw/Eur1XLOYaf5268alZnJZKLRaLlcLpVK\nuJWS3NuamCbqhPgDxbRdq9XCJa7T6SQSiXg8zmkKvmAwGLAeMTk5ycpqIpFIJpOlUqnVahHT\nOp0OY3YklsSraDRqzVPAwc5EHlDSY4aP9i6wYdbtdnd3dxuNxtbWFsu26XSaPVmKjkQhIicw\n/UY7AmlotT3r2DJmgwal4sisni2LbG9v07S1Cp8dnKAn89C8injsSNiJ/zPMt5GPdjqdUqnU\nbrfn5uY4NZNKpRjgeOiQzsTEBIe2bEvfefGU/sJgMGA0mBoe0y0sbRHs8BFFRBKM+HX22tiQ\npU1gN7nJI3Fmt3TWeZPFKEWC5kOvkYO2LFKwGtbr9djzxeGFiRnml7X6KsQfOqbtiDzsEBCL\nCFCcpsD1g4ZALBYLh8OMlLAQSlvj8PDQfI+ph+G+Ho1G6XjYEVhGe00CYq7EeimmISwrcJH2\n8PAQwzlqiqzuskjhnLMgZj2HYSt10lrneT8hInF1iUajzDTj8GLGoqyVUKtj65+5Gl6jKbzf\n7m+Ix46Enfh9wH8S9ya6A1tbW61WKxQK5XK5paWleDxuWSyizdQP98oo/jNsSxBhc8I5hwUA\nnVzml/livp0KWaPRoG1K2HLegpv7LeMD8wsdzimHVz0MQh4Rk4ycdjDysVwuczKSAWd0pPkV\nCyH+0DGrJupeTHFQDOPcarvd5gAPPVkSPxyOOA5GxKOIRXxgAZbbjKFQiENhFPuj0ahdcTCh\nhqX5/v4+cpCwxiQfEc/aEdZFtVETWr0EMUIoD4Ji49lSJmSSj/aIncGwm7mclODgLH7FbF0c\nHByYTzuSToW6TycSduL3hJ6mZXgkc2zUz83NsUd2dHSEpacN5xIFyPCsI0AART/9zuKZGxJq\naLLhK4rsdtjX/85AM/ywv9PkLxgMWgOFfJrGLt0ZDlpzG4MbGyxYfPS3UQjxqWLg3aWweTW6\nq6FQiJ5Du92mS8vuAino+Pg4Z1sjkQiZKsUt1ixIWWmDWrjjlA7zfPyW5ajWMeC7cJIaNsMj\nllrj1YaVbTmDKREeh6hlK7pU7BCCVBCt5kdEpRPdarUYyBsuHJqzlSTdpxkJO/H7w8jdyckJ\nmSipHlsFzN4ygxIOhzF5t/Ux+3bnyTv3X7XXQz9l+D/ZWqW7+lGe/JgH8y7DrRDyXdb7SUyr\n1So2V8lkklxWqk6IUYWgRFuW8hULEEgoG2Ij06PlSoVvMBjgaey8U6oktMP1P5NxCC8ruTkv\n1iG5bH7XamM8t+HdDgxKaHdYHY4mLzHN5pKtkodsJXyZjjTFyesiD+eZo1BJbjFG0errpx8J\nO/GRGAwGTLYxfsvYb6VSabVaU1NTU1NTZJmkhplMZn9/v9FoELBoLpDLsrFvLVer7fGf5J2W\nrVoNj+BIw4LlMvM35tGcc4FAgAk8xvIYNOYJY1DCbiz+TKSkx8fHzA4TMX0+X6/X4yUcHBzU\n63UZmggx8jBsxz+Ht0dtnaLX63ExgoBmA210PEkUrRRnLVTzIuGn2GE0symxpip9YSvX8UPt\nW/r9vglHOrnmhGcdXuec3cKxR0Ow2hwe4ZGeL3qOuh1nOeyKmp1/Vej79CNhJz4qxIt2u31y\ncsIoro3Wtdtt5ovZIWW0jiFiupws6ne7XYTU4eEhN607nY6JOQIoHVL7FaIPqo6lVwQcEyoE\nqcFggDcBkTEej/Pgbqg6iAwlE7WRkeHsGXhd/X6f+4mP5X0WQnzCDDyXOyu2odIs/8RWkwUI\n9BYBisao8xJLJttMKdrSmG3COs86gJ19HnBY2Jm/sT0BWiVswvJTbCEMv3einAVJCo10Tmyz\nzdq7/CwbmCHGVqtVrsG2222puj8gJOzEx0O/32d1i54FHQQ6BagrW2Jg/mN8fJzOJuGPEbf9\n/X3nnN/vz+VyBEoKe9ia0OBA53HmgaXUfr9vvzUYDKampjqdDl0Ji60+nw+nFbM4wavzf7Bf\nikQi0WgUBYmk0/6XEE8ati2LyDOo4lMnoz5n+63ksc67MWjbDICKoiuKIKPnYL/4UDj67V/n\nmQyLPIMf8dC3E3sZm+NEBJeBbGPDdKQt/3J3hyApVfcHh4Sd+NggLpTLZRa+WD4gCxwey7D1\n2N3dXVbJ2Lpnm+zo6IieKYcrEFJY03GD9eTkJBqNxmIxhu2oFAaDQTa26ETU63WGTjiYEYlE\nGGGenJzENQCTFJuTs24IbQs0Jb8YDofZC9FQnRBPJmgaim023MbyhKWpQAPUlu6ZeItGo+Si\nzlNpJtSGoVFLxY5c1GxNeBpW6ntoaZcgiUBEqLmh3i4JNhPDdFQp1yEruUvLCoXz7ijylWxL\nEPqk6v6wkLATHz9HR0fVapW9hKmpKb/fjycTQY1MkdB2cHAwnN2aswmbp7ic4xpFrGSaBAs9\nm/PtdDoIMhoW6LCHng//gjS0X7cElwBnwYs2CsKRyehP7r0TQnwqMV3V6/W63S5zJjgPsyjG\nsJ154A0Gg4mJiVgsxjgKv2u91+GKnY24kdlS57P6H+GRlisyjmE4E3Y2/Efuatdm7TH39/eb\nzSYTMgwCmp2n3Z9gpI8ZYlz0OO2jVYk/RCTsxKOC2dvBYECssWUuTIYnJydPTk7oCNisLt94\n4p2CAGztiH0ExOHVWufZl/j9ftZv0XnOWx8bnpljLG/g2RMwlULuay3Xh8xQ1HsVQoC1ZSmD\n7e/vszQWi8U4C8vMCRa+/X4fX7per9fpdNjucs5Z29R5McoCI7HIOWcd0uHhPOZGyDnRefw6\nc3jOOeZVhmf+aJiQ69qymm1vDLdxnXMnJycYFzBUY93ex/d+i98TCTvxCGGVgU0ItBRJKmko\nAYh1M+ecVfKsuWAbr8yp4OdOg5WGhXOOlqvf7ydJHXg3f2x9DM1HeGX3gmHkiYkJAu5DB14V\nyIQQ/x3DnVP2vTjYdXBwEIvFUHKsICCeqM8h14hCwzHQOqomoXxDNumEO593hsdWxOwbrd7G\n4+Ofh3kedsR8o30xhsnD5dUFLwAABoRJREFU5iyW9PJs7RbZfzd5LP4gkLATj5bhnG94n7TT\n6VjkYq2BUTlG69BeKLZ+v48gs4UvNmoZJWE5Y3JyEn/2k5MTmqrmDsWDDJsI9L3z3pqcE0L8\nHjw0GEcwaTabRDALehTbiGzILOQUcczn81FOIzCabzDCjiVW550IQxGi2MzfbvhIhs8zgeJ3\nT4ZOKSJAacgOd2N/e85v4B2Qlar7g0bCTnxyPBQsbE/WbJaQWSyg2XAbOxnWQrXyHue8zGiK\nNJQZ5+FMlBk+HpDHcd50s9qsQojfm4eqdySrw9upgUCAG1zsWNhKhPmr0yRlRIQGBZHKeTrP\nbFZIU61Xax1YNB99VWbyUI1YRBEP8VRnzM6G8wZDO7bDr+hxvJHiY0bCTjxmTrwbr865//n0\nqq3xP7T8TwXOvuwhnzn7ShvmE0KIj4uBdyWMPsNDmFmxzcyZxclgMOh2u0zO2aybdWltwQLd\nZqU+qoBmmGw/3XmmdPYTGX2hmshIzLBBgTTcCCNhJ/5g+J0pphBCPHaGh+T4FTNR6na75qOE\npBu+XTF8msK2GYaFnV2JGAxZE9NOtZ9rQ8nmUWza0SZPHjpNJkYYCTshhBDi4+G3809ben3I\nqdg6ufa9pgV/+2seapgO/8rvfATThQPvysVDDyJGGAk7IYQQ4lFhrc//va7y/db1iP/uYf+7\nbx8eO5Gee9KQsBNCCCEeOf97gfURpZiU3BOO/3E/ASGEEEII8fEgYSeEEEIIMSKoFfup49VX\nX31owEKIj8irr776uJ+CEA+jWCc+dhTrnHM+NeOFEEIIIUYDtWKFEEIIIUYECTshhBBCiBFB\nwk4IIYQQYkSQsBNCCCGEGBEk7IQQQgghRgQJOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTs\nhBBCCCFGBAk7IYQQQogRQcJOCCGEEGJEkLATQgghhBgRJOyEEEIIIUYECTshhBBCiBFBwk4I\nIYQQYkSQsBNCCCGEGBEk7IQQQgghRgQJOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTshBBC\nCCFGBAk7IYQQQogRQcJOCCGEEGJEkLATQgghhBgRJOyEEEIIIUYECTshhBBCiBFBwk4IIYQQ\nYkSQsBNCCCGEGBEk7IQQQgghRgQJOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTshBBCCCFG\nBAk7IYQQQogRQcJOCCGEEGJEkLATQgghhBgRJOyEEEIIIUYECTshhBBCiBFBwk4IIYQQYkSQ\nsBNCCCGEGBEk7IQQQgghRgQJOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTshBBCCCFGBAk7\nIYQQQogRQcJOCCGEEGJEkLATQgghhBgRJOyEEEIIIUYECTshhBBCiBFBwk4IIYQQYkSQsBNC\nCCGEGBEk7IQQQgghRgQJOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTshBBCCCFGBAk7IYQQ\nQogRQcJOCCGEEGJEkLATQgghhBgRJOyEEEIIIUYECTshhBBCiBFBwk4IIYQQYkSQsBNCCCGE\nGBEk7IQQQgghRgQJOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTshBBCCCFGBAk7IYQQQogR\nQcJOCCGEEGJEkLATQgghhBgRJOyEEEIIIUYECTshhBBCiBFBwk4IIYQQYkSQsBNCCCGEGBEk\n7IQQQgghRgQJOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTshBBCCCFGBAk7IYQQQogRQcJO\nCCGEEGJEkLATQgghhBgRJOyEEEIIIUYECTshhBBCiBFBwk4IIYQQYkSQsBNCCCGEGBEk7IQQ\nQgghRgQJOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTshBBCCCFGBAk7IYQQQogRQcJOCCGE\nEGJEkLATQgghhBgRJOyEEEIIIUYECTshhBBCiBFBwk4IIYQQYkSQsBNCCCGEGBEk7IQQQggh\nRgQJOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTshBBCCCFGBAk7IYQQQogRQcJOCCGEEGJE\nkLATQgghhBgRJOyEEEIIIUYECTshhBBCiBFBwk4IIYQQYkSQsBNCCCGEGBEk7IQQQgghRgQJ\nOyGEEEKIEUHCTgghhBBiRJCwE0IIIYQYESTshBBCCCFGBAk7IYQQQogRQcJOCCGEEGJEkLAT\nQgghhBgRJOyEEEIIIUaE/w/m4F3rs/V6AAAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"Weight\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "\n", "imageplot(f0, \"Image to segment\", c(1,2,1))\n", "imageplot(W, \"Weight\", c(1,2,2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 4__\n", "\n", "Compute an initial shape $\\phi_0$ at time $t=0$,\n", "for instance a centered square." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "source(\"nt_solutions/segmentation_3_snakes_levelset/exo4.R\")" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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D8+2Ysq/A+oVYruwv960AdQ+FD8bw/6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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=3.5, repr.plot.height=3.5)\n", "\n", "plot_levelset(phi0, f0, lw=2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The geodesic active contour minimizes a weighted length of curve\n", "$$ \\umin{\\ga} \\int_0^1 \\norm{\\ga'(s)} W(\\ga(s)) d s $$\n", "\n", "\n", "The level set implementation of the gradient descent of this energy reads\n", "$$ \\pd{\\phi_t}{t} = G(\\phi_t)\n", " \\qwhereq G(\\phi) = -\\norm{\\nabla \\phi} \\text{div}\\pa{\n", " W \\frac{\\nabla \\phi}{\\norm{\\nabla \\phi}}\n", " } $$\n", "\n", "\n", "This is implemented using a gradient descent scheme.\n", "$$ \\phi^{(\\ell+1)} = \\phi^{(\\ell)} - \\tau G(\\phi^{(\\ell)}), $$\n", "where $\\tau>0$ is small enough.\n", "\n", "\n", "Gradient step size $\\tau>0$." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "tau <- .4" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Final time and number of iteration of the algorithm." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Tmax <- 1500\n", "niter <- as.integer(Tmax/tau)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initial distance function $\\phi^{(0)}=\\phi_0$." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "phi <- phi0" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Note that we can re-write the gradient of the energy as\n", "$$ G(\\phi) = -W \\norm{\\nabla \\phi} \\text{div} \\pa{ \\frac{\\nabla \\phi}{\\norm{\\nabla \\phi}} } - \\dotp{\\nabla W}{\\nabla \\phi} $$\n", "\n", "\n", "Pre-compute once for all $\\nabla W$." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "gW <- grad(W, order=2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 5__\n", "\n", "Compute and store in G the gradient $G(\\phi)$ (right hand side of the PDE)\n", "using the current value of the distance function $\\phi$." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "source(\"nt_solutions/segmentation_3_snakes_levelset/exo5.R\")" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Do the descent step." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "phi <- phi - tau*G" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 6__\n", "\n", "Implement the geodesic active contours gradient descent." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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t20bRfodV0GaaTO1rpzEK27oNYdB+4GngD4auA3gceA5877wwqXihh2nYAP+HRb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002TsCCCdTlNK0ul0RBpC53F2vCGLBcrB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\nHSmDsS8JpdFolMvlcrnMjTkfZiUajUaj0eAeyJI+n69er7u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QrPYn6TMkfwAAIABJREFUo9Xr9fZie2YByAtsd8Od8x5mvRWFvazzglc+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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "source(\"nt_solutions/segmentation_3_snakes_levelset/exo6.R\")" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Region-based Segmentation with Chan-Vese \n", "-----------------------------------------\n", "Chan-Vese active contours corresponds to a region-based energy\n", "that looks for a piecewise constant approximation of the image.\n", "\n", "\n", "The energy to be minimized is\n", "$$ \\umin{\\phi}\n", " L(\\phi) +\n", " \\la \\int_{\\phi(x)>0} \\abs{f_0(x)-c_1}^2 d x +\n", " \\la \\int_{\\phi(x)<0} \\abs{f_0(x)-c_2}^2 d x\n", "$$\n", "where $L$ is the length of the zero level set of $\\phi$.\n", "Note that here $(c_1,c_2) \\in \\RR^2$ are assumed to be known." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 7__\n", "\n", "Compute an initial level set function $\\phi_0$, stored in phi0,\n", "for instance many small circles." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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GMIiHnHxj0eGlY2DHexaNq2YJ6Ay6VKAHy5XN7nOw9V+bxwcVTN2qoA+LLZpO0a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\nRUUF19VFfve7V2g9+ij4/Zqmeb3e22+/PRQKPf3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4dOj2t97C4fSkZTXOzDTOXCdWrTLMi3v2nGruaSkAACAASURBVNixg7q6cmshZeDI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\nQFnRPa8xyNitOpizF+ZKjDQ1obHbODnpUtX4uT0Bx3HltgA3WNQZNKXTN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wO4oeweFWA3wG6AdwBmABQABqASYBPAbQD3GAFRZAzgSwCH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", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "\n", "source(\"nt_solutions/segmentation_3_snakes_levelset/exo7.R\")" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Parameter $\\la$" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "lambd <- 2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Values for $c_1,c_2$" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "c1 <- .7\n", "c2 <- 0" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Step size." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "tau <- .5" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of iterations." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Tmax <- 100\n", "niter <- as.integer(Tmax/ tau)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initial distance function $\\phi_0$ at time $t=0$." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "phi <- phi0" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The minimizing flow for the CV energy reads\n", "$$ \\pd{\\phi_t}{t} = - G(\\phi_t) $$\n", "where\n", "$$ G(\\phi) =\n", "- W \\norm{\\nabla \\phi} \\text{div}\\pa{\n", "\t\\frac{\\nabla \\phi}{\\norm{\\nabla \\phi}}\n", "} + \\la (f_0-c_1)^2 - \\la (f_0-c_2)^2. $$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 8__\n", "\n", "Compute this gradient $G(\\phi)$ using the current value of the distance function" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "source(\"nt_solutions/segmentation_3_snakes_levelset/exo8.R\")" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Do a descent step." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "phi <- phi + tau*G" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 9__\n", "\n", "Implement the full gradient descent." ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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+qp9Z3OgGkWPE92Xf4lpt7lYbjf877JMP8pDOcjT7TT6aAvi9fHB1FV1fO8uI0n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UtrDLmCYMg1KuW4dcpy0u8q91XJanRZFS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\nhiFMPonINE0UbQEia1wD+ui2ALVtGxX7sLbCLYDs8F8igqun7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gGYvYive/sy3sTrdDqdzWYDgcD09DReVLvdrlQqCLv4Ke12u1aroV+A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\nYIcanXa7XSqVENfws5rNZrlcrtVq2GExTTOTyXhlK9I/iRYMBr2QKiKoyME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33X59NHpjtRrFfbsbbvhPVf3eyIiIXHnllddeey1akOM5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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "source(\"nt_solutions/segmentation_3_snakes_levelset/exo9.R\")" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "raw", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 1 }