{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Fenchel-Rockafellar Duality\n", "===========================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_matlab/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "library(pracma)\n", "library(imager)\n", "\n", "options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n", "\n", "# Importing the libraries\n", "for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n", "}\n", "for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour is an introduction to convex duality with an\n", "application to total variation denoising.\n", "\n", "Convex Duality\n", "--------------\n", "Given some convex, proper, and lower semi-continuous function $f(x)$ defined for $x \\in \\RR^N$, its\n", "Legendre-Fenchel dual function is defined as\n", "$$ \\forall u \\in \\RR^N, \\quad f^*(u) = \\umax{x \\in \\RR^N} \\dotp{x}{u} - f(x). $$\n", "\n", "\n", "One can show that $f^*$ is a convex function, and that it satisfies\n", "$(f^*)^* = f$.\n", "\n", "\n", "One can show if $f(x) = \\frac{1}{2} \\norm{A x - b}^2$ where $A \\in \\RR^{N \\times N}$\n", "is an invertible matrix, then\n", "$$f^*(u) = \\frac{1}{2} \\norm{\\tilde A u + b}^2\n", "\\qwhereq \\tilde A = (A^*)^{-1}. $$\n", "\n", "\n", "One can show that in the case of $\\ell^p$ norms\n", "$$ f(x) = \\norm{x}_p = \\pa{ \\sum_{i=1}^N \\abs{x_i}^p }^{1/p} $$\n", "with the usual extension to $p=+\\infty$\n", "$$ \\norm{x}_\\infty = \\umax{1 \\leq i \\leq N} \\abs{x_i}$$\n", "then one has\n", "$$ f^*(u) = \\iota_{\\norm{\\cdot}_q \\leq 1}\n", " \\qwhereq \\frac{1}{p}+\\frac{1}{q}=1, $$\n", "where $\\iota_{\\Cc}$ is the indicator function of the convex set\n", "$\\Cc$.\n", "\n", "FB on the Fenchel-Rockafellar Dual Problem\n", "------------------------------------------\n", "We are concerned with the minimization of composite problems of the form\n", "$$ \\umin{x \\in \\RR^N} f(x) + g(A(x)) $$\n", "where $ A \\in \\RR^{P \\times N} $ is a linear map (a matrix),\n", " $f : \\RR^N \\rightarrow \\RR $\n", "and $g : \\RR^P \\rightarrow \\RR $\n", "are convex functional.\n", "\n", "\n", "We now assume that $f$ is a $L$-strongly convex function.\n", "In this case, one can show that $f^*$ is a $C^1$ smooth function, and\n", "that its gradient is $L$-Lipschitz.\n", "\n", "\n", "In this case, the Fenchel-Rockafellar theorem shows that one can solve\n", "the following dual problem\n", "$$ \\umin{x \\in \\RR^N} f(x) + g(A(x)) =\n", " - \\umin{u \\in \\RR^P} f^*( -A^* u ) + g^*(u) $$\n", "and recover the unique solution $x^\\star$\n", "of the primal problem from a (non-necessarily unique) solution $u^\\star$\n", "to the dual problem as\n", "$$ x^\\star = \\nabla f^*( -A^* u^\\star ). $$\n", "\n", "\n", "Denoting $F(u) = f^*( -A^* u )$ and $G(u) = g^*(u)$, one thus needs\n", "to solve the problem\n", "$$ \\umin{u \\in \\RR^P} F(u) + G(u). $$\n", "\n", "\n", "We assume that the function $g$ is simple, in the sense that\n", "one can compute in closed form\n", "the so-called proximal mapping, which is defined as\n", "$$ \\text{prox}_{\\ga g}(x) = \\uargmin{z \\in \\RR^N} \\frac{1}{2}\\norm{x-z}^2 + \\ga g(z). $$\n", "for any $\\ga > 0$.\n", "\n", "\n", "Note that $g$ being simple is equivalent to $g^*$ also being simple\n", "because of\n", "Moreau's identity:\n", "$$ x = \\text{prox}_{\\tau g^*}(x) + \\tau \\text{prox}_{g/\\tau}(x/\\tau). $$\n", "\n", "\n", "Since $F$ is smooth and $G$ is simple, one can apply the\n", "Foward-Backward algorithm, which reads,\n", "after initializing $u^{(0)} \\in \\RR^P$,\n", "$$ u^{(\\ell+1)} = \\text{prox}_{\\ga G}\\pa{ u^{(\\ell)} - \\ga \\nabla F( u^{(\\ell)} ) }. $$\n", "with $\\ga < 2/L$.\n", "\n", "\n", "The primal iterates are defined as\n", "$$ x^{(\\ell)} = \\nabla F( -A^* u^{(\\ell)} ). $$\n", "\n", "\n", "Total Variation\n", "---------------\n", "The total variation of a smooth function $ \\phi : \\RR^2 \\rightarrow \\RR $ is defined as\n", "$$ J(\\phi) = \\int \\norm{\\nabla \\phi(s)} d s$$\n", "The total variation of an image is also equal to the total length of its level sets.\n", "$$ J(\\phi) = \\int_{-\\infty}^{+\\infty} L( S_t(\\phi) ) dt. $$\n", "Where $S_t(\\phi)$ is the level set at $t$ of the function $\\phi$\n", "$$S_t(\\phi)= \\enscond{ s }{ \\phi(s)=t } . $$\n", "This shows that the total variation can be extended to functions having\n", "step discontinuities.\n", "\n", "\n", "We consider images $x = (x_{i,j})_{i,j} \\in \\RR^N$ of $N=n\\times n$ pixels.\n", "\n", "\n", "We consider here a discretized gradient operator\n", "$ A : \\RR^N \\rightarrow \\RR^P $ where $P=2N$ defined as\n", "$$ A x = u = (u^1,u^2)\n", "\\qwhereq u^1 = ( x_{i+1,j}-x_{i,j} )_{ i,j } \\in \\RR^N\n", "\\qandq u^2 = ( x_{i,j+1}-x_{i,j} )_{ i,j } \\in \\RR^N. $$\n", "where we assume periodic boundary conditions for simplicity." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The adjoint $A^*$ of the discrete gradient is minus the discrete divergence." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Renaming the imported div_2 and grad_2 function\n", "div = div_2\n", "grad = grad_3\n", "\n", "As = function(u){-div(u)}\n", "A = function(u){grad(u)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "In the following, while images $x \\in \\RR^{N}$ are stored as arrays of\n", "size |(n,n)|, gradient vector fields $u \\in \\RR^P$ are stored as arrays\n", "size |(n,n,2)|.\n", "\n", "\n", "The discrete total variation is defined as the $\\ell^1-\\ell^2$ norm of\n", "the discretized gradient\n", "$$ J(x) = \\norm{A x}_{1,2}\n", " \\qwhereq\n", " \\norm{u}_{1,2} = \\sum_{i,j} \\norm{u_{i,j}} $$\n", "where $u = (u_{i,j} \\in \\RR^2)_{i,j}$ is a vector field." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "norm12 = function(u){sum(sum(sqrt((u^2)[,,1] + (u^2)[,,2])))}\n", "J = function(x){norm12(A(x))}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Total Variation Regularization\n", "------------------------------\n", "We consider here denoising using total variation regularization. This was\n", "first introduced in:\n", "\n", "\n", "L.I. Rudin, S. Osher, E. Fatemi,\n", "_Nonlinear total variation based noise removal algorithms,_\n", "Physica D, vol. 60, pp. 259-268, 1992.\n", "\n", "\n", "Given a noisy image $y \\in \\RR^N$, it computes\n", "$$ x^\\star = \\uargmin{x \\in \\RR^N} \\frac{1}{2}\\norm{x-y}^2 + \\la J(x), $$\n", "where the regularization parameter $\\la \\geq 0$ should be adapted to\n", "the noise level.\n", "\n", "\n", "Number of pixels." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 256" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "First we load an image $x_0 \\in \\RR^N$ of $N=n \\times n$ pixels." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "name = \"nt_toolbox/data/hibiscus.png\"\n", "x0 = load_image(name, n)\n", "x0 = resize(x0, size_x=n, size_y=n)\n", "# Two dimensional\n", "x0 = x0[,,1,1]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the original image $x_0$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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/U/ZGH3tCiar0/LUA/cYMPtHc974ZeMwWCzfGQcbl34nNctLPWqH8ytCfRf//42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CCllzKTzCMycymXu9Hi06ZdkpbG5mu7u78nym2NgAACAASURBVMNeffVVWXlE+/v9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\ncHp6Cl/3F7/4RQjh7t27AjYfP36seT44OMDzl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Sos1mU+qqXC5LpcGbxT4gdmXr\ntYKhaS9rNpv/7//9vxBCt9v98ssvQwilUkkz+fz5c+736tWrdFKkhSSPjER4SLzCVNfW1jTa\nFy9eOOXBr6hxapFGjb9ardJZcDQaQeN0TEUbcoY+ysrUQ+n3+0QBoFNqoerzYIKFg8GA26TW\n9nQ6dcTXQqabvA3RoaRdgBzlwcHSkbxBaDsNpt/v87Z+F5/ZMo0hGOsYW1abY84FdQmvulKr\nYKpYlkR8bWliwhAuxBAlKsILJ1JmhUKBSsQusYEXCa8CBTMajfAICShivZKxx6uF49jpdKR+\nTk5O9ENb7JvAD2+Xo6RnS7XVajWX0VgqlZK0uhUvZ6vVUqyr0WjgXEo3s71SNQr1adMnNAPH\nx8cff/xxCGFra0tpfOqVwQ8XacEqitJRqYQ8Cs1ASDeRYrFI4JMdE1aFjjw9Pf3kk09CCNeu\nXVOk7auvvjo5OdHwjo+PpaVee+01FWCD5kAkcpH2okM3M+xCoSCdsbm5qbENBgPCaZRqYzBf\nfPGFyEHFYpE6MvqKvQ8/m2fx4MEDMAAdTJgWdwHGE8R9ip8pFXWZVkGSPsAF55Ghdfr9PqFQ\nVi9q2xKUglFsNtOAIWEqkciIlxlSzYfVaDMf0HYMgLWEqiM0iMtFuRxOzmz0+/3sEsVWc7Qd\nXsAswpGY3r/LtEadZR5lHUFSDHGFMf4UnwZb4ufBpH8sY0vCEEKMEUaJEiVKlEsu0SO8cCKP\nkBKdWJ04eRb9gE4mBAlOncVhXBgPYz+YqEO/3xcK1+l0qAmpSKTNtXfAkXUdsm1rCOpoAEqx\nAO2UW7C2tqYa0M1mU4cNh0MdQ6f48XhMTQAQTmfLv3jxQkzL3d1dwYN/+qd/WqlU5A3gKOMI\n2vICxCYtYV2faAZoIVSpVGjFjnOg6VIufAih3W5bT12HvXz5UrdpA65y8rgXMACwaByFvb09\nOZT7+/sa0nA41P3WajX8uUKh8O233waDsC3TWp2MFiceJJarQIW1QSzcL01Xq9WCV8kgWSGj\n0UgYJminXZB4SFqrzWYTxxeabjahngAqk0NmvcLAwZCWuQoxM4AQgtA2VudyLXhrQEFslyIL\nSDJCIr6EAFxk3fpqTAVuKy+pKxHMkGyYlhefAeDE2+nVHH711VfiCbMYLI5iXdIsN/sSSlSE\nF060ykEmgUEAl8rlsi37FEwF58VioV+xqeXT1g3lcpmUiWVa/4XXr9frAUhKVVBOjGPAWIrF\not7AYrFIvpf+IMViMpm4OhqlUqnRaJDLQTsFkfhXV1e1dVqIUgOoVqvU2XJJF5Z0gIr9/e9/\nH0J49913F2lHCMKrp6enRIN0zpWVFfSQTkVdGJIB+ISbgpRksyYUR8zlcsT/GGGv1xNGurq6\nKjXAjFlYTFpkMpnoEYCBf/bZZ2qI8f3vf1/pE+vr63peL1++FBS8vb1NMbwkbcrKPFusEmvG\n1QAKJvQLQMdtYvE4s0xkH0wlCqqxnjUVBFxR8/V6nXweMkfRIjoG+owFA+GecInpdKo1w3VZ\nIez+VmdoJImpvubQS5uGSFxgaVpMgKByPFMHa8ZWZQtGhaP4bRieyXS6VoQgu0iCKZ/EU8jl\ncph6qib43//93xQuZyp44vAAQlSEIYQIjUaJEiVKlEsu0SO8cKLwPkiOhYkgcQCNujA4zAsY\nnsViUSQOdRIPITx9+vTg4ADbUGem5Iptw4QBi28K/qOTU5sRE56c6F6v52x5ncpxJhl5vV7P\np70DHf+tWq060xVDmPnBreHzUqk0HA5F8QgpRxHfZTqdyv3C5C+VSlwllxYIxZ0CyyIbXYMc\nDAY65vT0VDNw/fr1w8ND4EeHKlvqBOAhIJhGazFwyu4ox+PBgwe6kb/927+Vc/z2228LLH3w\n4IGriqJTySfu9Xq6HOxNHBScPB7K3JQIzzIpdL+j0UgOh8VRcRy5qZC6brboNtC3Rm7rFcDV\npLwD0+XKii5M1j+XoyGinXBGjh9GIRt9bmkseGZkygMF22Ix+FhMFCn2fALpjK9YFY6SGkzS\nvQOl5SPi9jlGKLEGIIqHDx8KM6DpknWd3ZxEmgwSFeEFlVxaohdIZ2n6KsAiA+sX2jMajcAh\nwUiVZ/baa6/pjxs3bnz++eeCSaGkQkfkzV8sFtpqC6b5LfgPGpHh8UKS9YhOAo2cz+eMk/cc\nfZmNl7ghoX7OJcJR+kvRuK2trW63K/2hFozBBAvB0Ig72hxBfUU+FhiajavN0qayAFAKE/7g\nBz/odDq7u7s6lU6yuroqBNgy5jVy8hny+bwGQPk0p2PsrP7yl79UZ+But6t8zeFwWDBdIbFm\nWE5Abdy4/mY75u6Avum9QPtD1kC9XqezMTNmlR/BVEeFJUuS6WXxLE0zSww7p5vhmmrBsLOz\nxjinDRyE85Jug1m0jsaZVZ8K1WNqZPUW65B74V9XFwbc1UKsfMUTRN8vTZYw5iOzAbysxNYv\nv/ySKAmKn/eIG7cpUlEdhgiNRokSJUqUSy7RI7xwolKiGLkhU2ATy85ywPBmHPIG+7Rer6so\nydbWVpIkYpSBHIbUHC6VSiS2g3Y6Jp7NRdNvYWcQxifHGZ9PVU9tFnYwNM7BYEDStCxoktaX\nmVQnCxbB+tFtlsvlDz74IKQuNe6L7vTw8BBGKNCx6qpQQBJPZWE6tvOJ4x0MBgMcHcGYx8fH\nf/EXf6F+VS9evNBhrVZLlzs8PHRoGOesVqsa23A4dI6dnWrYN46vpIfinhTYbLlcBg/UUun3\n+3oE9XrdYQ/g6rggVDkIIXz66achhPfeew82MpAdfidiXRaeFGPTALL5eXPTx9E9cXBFvQUQ\nnfBK3QzkTT9OCxLaWV2mWYNu8PaEWoTci/Mp7XVdiRkIqKxVBEzYOoL6yrJ1cNpgFQVD+9QP\np9Mp4AdwkR1YMAiwHbN1ai+zREV44URFkthTKHW2NK3+HMmbNN5szYilaaGn+Fy1Wt3Z2aEi\nhg5jwyqXy3RFEPalEh7hLHqZpBn9vPZQsSFY8vbqWspY0O5J4KTf7+sqrVYLpI5SL8ro4FTB\nxGZyZ7sP8getB5MkIbjY6XSo+Ezis05Yq9W4BdAtAoGztA8i+zKsUWHLNHNoNBq61rfffkv9\ns+vXrwunev78OfWumEMXQ6UaNVXxLJ9Tgj4gn4Fkf0Jo4SzGSBtCctVRHmhibCaLw9tPyuWy\nklJOT091I1988cX7778f0jAecDoPnZEzY6Cy+iRJEuBTFAw1H5xiQAhCK4SMAmPVYc2gy3lr\n3MlDavyxsG0dOLveQgpREiqWMPKQQURtiRn3lb06ie2cEAvPPnTaJbIwNIcEth8/fqzShkwy\nV2RzyIaQMVKjRGg0SpQoUaJcaoke4YUToXwQFqgjFUwCLHYrvZZ0AKClNYTpwIdzgMcwHA7B\nlCSlUkkook2u0hmyCcVgUxSZBFckqZzhqbMMQyW9TCeHPlMul+W5zudzfdXr9XACHN5luRiy\nhV955RXl8w0GA3gKrVZLl6Mg2draGs2PNB7rFkD1hCiBj6hfgbNVq1VGSyU5GjeSgJ8dMI8V\nCka9XqdgLA4WzwXLnSY75FbiC8JtgTVDSiIV73j0uJs2jS+fdjknB9R5Wi9evNDkvHz5Uhn9\nKysrLCFgDDxCeJhZWJLptaX7EJfYl+WVCLiGPIJTBQeY6eUrCoJD7GQ5OcfO5k0Cn8Jfy5KY\nuEFb4A2Qhk84lWPEMEuWHGSdQseRARMqFArqz3X//n09BTxCyz7l5HzCeeBmX3KJU3DhROkT\nFtuxXwUDDM7ncxHwtCcGQ4YsFovipvMmDwYDFVnu9/v7+/uqAd1utyEWgphB2COvXH9A0ZSO\nCaZTxGAwyKcFox3Ywgsp4IssY0BOIpH6ZHV11cGPlqk4T7sTEChCR+pX29vb0PqBjpdphwfp\nyGD6G/R6PXQV+p50ApreLdLqLTqm0WgQm5Gmmc/nCsF2u13mnJo4loC6SIsSkBqhU9VqNcf3\ns4w+YD24ppp5m2bD7skAVH4lGHiZAjp5059Bx9A0GL6ljTPpYM2txqPl1Gq1LJLpgm2L7271\nh9a0WsctGxvBwnSTccP4g3kjUB6qzRTOqhasGTu8YOwGshGsqWeBTRSns02XJmndqVLMR8s4\ndSF2BsBKszFO1DxKC1Luw4cP//d//zeEIOA6nDXs3L1YzcrgmZ9LLhEajRIlSpQol1qiLXDh\nRKzRRVoF1FLLsAfxCOWO0My90Wjg+sj7aTabcmvW1tZkdXY6HbLdbVobuA1IF04eZArMZB0A\n3wG7khaA/BwXU4LlDvpHBpgs/fX1deAdeUgvXrzIpeUlxfAkd816lrBeLYEIB5Spc7NNMyBq\nnDJITgUTbz6fa1aBMUMIYutduXLF5k3C1QSOwz/IMiRFl83n83RAZBjOmZib5gZAjjjQ+Xye\nhlm5tMsVnitlChy/Nwse8lAYQLVaFYQA9oCrJ/8VJJbHoTNQIzQxFQ+sC6uzOUA1ZDLWmYRi\nsahHVq1WcXGsr+PYLsE4c0D0LLAkLQeBi+ZI1wxJgLnz//KZjHhoLC6JVvJdbh/r0+bsMhJ8\nyrzpvyZc+osvvtDys2itW2DWu2WKLCU16yleQomK8CLKcrkEVbNkM94HfTKfz7V10jBve3tb\n6eStVkuxq3xaa5Q6KUKNNjY2QgjFYlE1MBem1QubaXK2sCHpDVSBKRaLpEawc6E8dF0GLCgM\ndBe9BcoKcqW6mqPRSEnoZAhUKhWdk1gdVgJzQhKCVHIWaHIo3GQyofQzE462FuKUpFVAKSDJ\nPtXr9TSkRqNh6w84MMp2cGXTB5fTc0mSxLYCDmdtCLe/KyIYDNKo40lK0ajQTOemYTA5MFG1\n+6uwUTAoIu0PUf/unODqy6ZwhAAAIABJREFUjncKtEjMG3ZutgsgtEz0gaVl8gdxcRQD64px\n2ofowNXFYkGZIbsyw9nYG2E51rBN4SDqBjLPtGBVoDWJcbgwBD+3lYH1CHKZSjp2nkejkSo2\ntNttZpUhOY1oHzTrxJ4zRInQaJQoUaJEueQSPcILJ4rqkzOUM41tHXkMJ29ra0sFt9bX1+F8\nAozk0pKh2Kr1eh2z0fZmCsYCzZlWR7QIdhBNPs28XprUb+ghuDVgvLgvMB34djgc0ntWpeBU\nIy2EsLq6KmocVFja2dtinhpSuVwG5gKntfQTXFj4BfL2oL3AGi0UCvqK0m44lOPxWD+fzWbi\nyIxGoyyWZTO+HYeC51ssFvUQadwDBB3O9hkPZ7sCLdM0U5zskJIGmRZLJsJ1hgzFegPYpA29\nw1EXi4VoWZZ5KCzh6Oio2Wy6/M6Q+h+2fwVOrWM2WjolThuYIeA2PwfstVxc5lm3QC7m0tQF\nZEg8xFyaO6vxwEUCEWUCVeDXPQXrGmbL/+qc9l6cB4wAjSZp+ypbTcLSguQNP378mLp6xCZc\nkTluIRs+WKYV7HRmN5jLKVERXjjRLsZexg6CIrR66Pbt2yGEra0toYilUkkb9NHREZnFoIJg\nSnA7c2lzcBqmW3DGceqCIbXznluCezBcUwuvQeMM6ZvM1oPC7vf7Agbb7bb4rtVqVXgvVM9+\nv09hGs7Aa0waPtE4NiwgL7IO0EPlcpl8f7BZitQAlHG/shuOjo60AW1ubrKbO1ZkMG2buGWy\nJqgtUK/XBWPSzM8Wd4av6xqmY3mQYK4dk9vk+ZLWouNhmVrUlOfrOK481nw+r1iUZUVqJh89\nenT9+nWZX5bN61DHwWCgqWDtWdXIukLNoxqB9ZhnoG80GccnadUIotfVapWRZK8Ljgo67Zil\nLmzpItwhNVBsIJCXFMDZ/RzdYzHMJK0uxDG2Kr2OnEwmz549CyHs7u5CBqaDI+fM4re82rpc\nzmS5hEzhqsspERqNEiVKlCiXWqJHeOFE0Khlsjn6pdLtQwjT6VTGO2Zvp9ORzXh0dJRLM8fV\niCeXy9nse/2NfY2dTtU0bG38AzsklyMVjHlLmpdsc8gC9D8KxtDGgJ1MJkpCPzk5kUcI8ZUu\n9u12W8O2FU1xnuROVSoVgXgCtQC4SOzDTMYV1jlHo5HcAoqlFYtFx12czWbCb+dpGw1S5i3E\nRP4i/jEYIy6d7frEDIvB1Ol0qAsK8Itbg8+HUW/zxN39zk11SgQQFZCWOYGUhCMr6XQ6VGjD\nV1um5et2d3d3dnaCqfcGHcMCBsyPIzEC/yamm5jDPLlu3rQ3AmxcZqoP2rvjh8Ce+gpqD8Uc\ngE94L/Aj5aZngRCLMbpxskTBUXkRHNcU/69arVp3PKR4jFbdo0eP9vb2gmk7lcuU/7Xn/C6P\nEBxV/r1L/L2cEhXhhRNtoxaTIfygl4RXq9vt6pN2u63d//T0VOpkOp26JoLz+Vyv03K5nKf1\njnkn2bnQsrxjEEHZ+2y4hUInrrIwJ2w2mxqbrugiZOxK4/FYKpzGdWtraySP6zabzSZNo+C4\nui2bzJBwlrLP9k0FADsenZzNhbCQC+pA5c3lcjIvUPPAknZLYr8jmxt8jPnJm/ommqhgkkwA\nQlGEdp0EYwzpPGCbpMaTIQDm5lSUBcr0q3q9LpuAqVB9USdM6WAwEImREN36+roCvSCxOVNX\nGoqmA+Ww+YB2oZhaHQ80yvNl07eT6WrHE4u1lgGPAGsGTUycmGEHAxS7dWULtyZpKQNdgqUe\nTKUCzMEkrdkrq5F8m5CuTBUuUO7KixcvKP5ARBzUlJdUP88CsPbGLSobodEQodEoUaJEiXLJ\nJXqEF05ms5msSAw6l883n89loc9mM3glshlPTk6wGTGlRZ/J5XIyjZUK7SxoGHHYpDa9DAYB\nRiWJvZjnDu+am2qTeLQ21dfx7mazmXzZXC4nz7Ver+urly9fiqlRLpdv3rwZjGNn3Qs4n5BB\nYFSSZQW5YDgcwt3gGP0BDYdKciFlkXS7XU0FdeBIm2O65Kk4R4F5A4ccDAaaFpuA6DAA3Ecc\nd0v8w9XDh8iZMmYOWlym2evz+Vw3aBm8MD508HA4lDtFybHBYMAAWKgW3wNjFOPp+PhYMO/O\nzo5oXJCwbModi8GxRi371KXT2SmywC/ePKdlWhzVE2SFVcF1eS+AOmitzMRyy/YPzsBSISmT\nX+EawmitVqt6f+mERWbw8fGx1vNwOBwMBu4WrN/Jg+a6DMwVzbDMI2Y1S2G9nBIV4YUTKUJi\nITCqQera7bZ4mGRN5HK558+fB8MApLYI6cMWI0VDqN9TMG2YABtdfYpgwlFsE7x+8PdQt+xc\nlshuYz8OkFksFtIHBwcH4uVzv6PRSAdDFr19+zaKjSRl7cXtdlvVZ3Qt3ftisZByLRaL4tnO\nZjOFW+g0ZPdQhymFtJbjaDRS2LJWq+m6TFf+bEsdblM/t3xOngLhJY2t0Wjo5MfHxzwL1A8b\ntIOglWnDVYhl5s52AQxmi6TAApspI6ecioNksYFyphem3WGZMZA6Lcher6fw4dbWlu4ubypc\nO6Vu41WM3yWD2zlhABgxc1OrGghah41GI9BO1qruF2uGWWLeiAsoqOy4rDYth/XMAuCH/IFm\nQv9prSZJIkP28ePHWgzZChXhbDUfXlvAVS1IEips1oR7OtPp1MVio0RoNEqUKFGiXGqJHuGF\nE3UDh4BHqc/FYiG/5Pj4mLJeokpaEsd3eVoLU7zU+nbggY5DaLEpZ4Pzx2w2o/eCDk7SCm24\nLNAyxYtxnMOsVzEajVwlKg5bLBZPnz4NIfR6PQi0WPcaye7urhrzCtiEXsTI8RHBx8DcXCp0\nsVhUqhx9fZvNJj09oEdSWxKaxng8ztbucjlklu2p+200GjwCiJQ8TeeHWR4Qmde4p7g41jXE\npYO2I1cDgqWttgqOqlm6evXqF198EYxr67BBRoUvq2+Hw6GKIRwdHW1uboYQrl27RgfmbM6c\nCwdYl8uuBMQBDHYA+NA6khunph0AMhXOyLacm1YVICuksVYqFYbHSHhfIKkx84xcbysVClm0\nT548+eabb4JJPM2bKqY2fOA8ZrWpCQY3sq+to4NasJTtYhl784YQoiK8gDKdTsXnpp6LXonT\n01NV2gX/JFe91+uRGqyT0FtuPp/T5c4qIUdeZysZj8cKyOVyOe0XbFg5U7FT2wTFUPg5ABRB\nyul0Csedtw6W6TLTko27yHIvCeocHByQ806rbt3vkydP1B1e98iAwXvp+sT8EC/RgGmQ1O/3\nBdJSN1Vp48GwGYGU2c1tm0Ob7UCASo9MpdWDCcFOp1OxRofDoS5XLBbZ6OkLiM5g/7LTi+JH\nT5PowsGaeXZ/VhpAmXtkIYRXX32VkBsqJ4uq2Zio09PtdpvGk9evX9cjc1URLBuTk7vQIIth\nNBqVSiVsRAbsgt8YB4QGZrMZ1XSx+ViEGhLLmCvqQfOOOHXFAGyxC0Yi/LNarWqewbf39vYe\nPHgQQnj69KlLXlqaPoiEYHnd8qb6NluBRp4toMpkZtmhALzh0kuERqNEiRIlyqWW6BFeOBGf\nwta3lA9xcnICgIN5DpxosY5gaqeNRiPLbAypjSzDs1wuu0JolNykCW2z2XRtayxWo8+hisBe\nAXTFvZBQLJ8Ps8a++8R+Ttk5KJoOI1oul/fv3w8h3Lx5EyfPeqJ4GKB/jkowHA7lE0OVhKRD\nJcl8Pq9P1DArGF9TDwicinuhBxA0Jdib+KY6kgbxuLnW0XGAm51G6+XzaED28DD0VbVaxYvi\ncvBu5mlFVt3I9vb29vZ2CEHMXvuM7AOy1RUc2Qq35uDgQJ9cu3aNAUCypVAfnC8QXUA/+Cw2\nzxKnxzFxEtOvylGBLAWXh8hy4iQ8OB5HYgpK4Prj1LqeZVSsDaat2JMnT0IIT58+Ff2b5RQy\nDrdm0uEoPFyKbLDUcyb9lwfk6gkz4VGQqAgvnGjpVyoVsewWiwU58oQo6HBEXjwago0DzIQ3\nClStWq0K5aPnOycvl8vSiPRAZ3PhopPJBDhROjJnugJRutMV1GDXCybr3MZCJGwBlhZoJyec\nl4uNsu/1egpKhRBUjyaY3kwF09+HeMnybLI8+0W9XqdbITAvKQe6cbq69/t9ErfZYRFSFAaD\ngX5IMSDQTluUQOcsl8uuMA0P0cWKJMxquVx2NRCsPtA4K5WKpWKG84C+pely/qMf/SiE8K//\n+q/Zh8Jig8QI/LgwLZZ49AcHB5oKYYbNZtMWPbG3iT3XaDRY2BbMx6xx7M3sJ8Q7UfYWfcVg\nyiKr3KY9pzOnbB0ZXlL9MZlMFNF4+vQpVZ8U7KdADEFH1rydLhBRNCLxXawoQqGFQkGvtn0o\ngvqHw6HtomUffZQIjUaJEiVKlEst0SO8cCL7lKqDx8fH8DD1CU2IBoMBtEaOEa0RC7pQKCi1\nudvtksHdarVEhCmkHW673S7cTsA0nBgdDIqI+2UbUwBq8St8TdBaoKQsvZA/shyZcNZ4D2cd\nX35FlSylJD979qzT6bzxxhvBGPiw8sgshDq4MOWydC+9Xg9KLYwJx07E1SMfUZh2ziT1B9OU\nFZQVrib81eRsxpimjq4OzCF+BlNhq4JBydEjw0e0HoaO6ff7guw4xsLpmsxms0n10Vu3boUQ\nNjY2RCCy0Gs2Wd7SPh2nBi/q9PRUjlGpVCJ/32XvwWG2tdNeeeWVEMLNmzchAzM/WbqNXXLL\ntKCoy8ZjpeUypU0TU2Z2sVho8WSXHxgAaE0+n9/f3w8hPH78WIhOu90m6IBjB7LqBsman6Vi\nbzOcV6oQ+gxeJkPSY6XtMz5xkkq49BIV4YUTUcLy+bxeG1s8E06g3mRt5SGETqfjdnO27Eql\nItXIG9JqtTY3N/XagAcu0oZz1FZm65ynJShtYA8NwY4PmDZLi2vzvrl8jGAgyizJG7GvqNtM\nLTbFJyhpNFy73dZtvvXWWxDkbOXxYBIwQhpKGY/H8GyJ7sD4J1rDLqP7HY1GbOKE6CCCsmUz\nqzxEIKx8Pi+jZJ5WguUYkluYLruJszuTqRLSplSLtJwCx5PIj5JGeTCrVBIfj8daPMRWf/az\nn/3iF7+wT0c6wKGsS5Nynn2ygKVYJxBZia06MJAHXalUhKzmcrlbt26B9rPsdRgEYxsYc+oH\nyaX9F4lNWv1nSZg6Awobi4cVUqlUtHiePn36hz/8IYTQ6XR4ZDoSQjXzZgMEzCq/sg+dY8Dz\nWWkEetGImBfsG2Q0kUITDKx6mSVCo1GiRIkS5VJLtAUunNy8efOjjz56/PgxLdRdpcEkSYRy\nDIdDuSx0l12YTtlYspRDw9zGfsxSywaDAYc5uMYmS7nuM1RBA/GzgX08AEtr5G+MU+Am/nBJ\naVl+KWINanDF+XyuylVvv/22ay/QaDTAcjVOsuZJMaQhcDBtB3giSVrqkz8AIcGHwV0hi9r8\nMOfr5Ex/Blwl4ZDNZtMmStuDmS7RNPQQ6TUPMIAHDFINjZPptefUVQaDAUCurvLqq6+qXoHy\n6yXcCz+EKpXF+rICNssx1mODjQWfU0u32+0+e/ZMXFZLuQRs5EnlzjamD6kPxLDBUXKmCCez\nRKTAoqw4oHyrxXNwcPDtt9+GEJ49e0ZpQ/crXh+b58qjd9yiZSp2xqDLwlUGIa/VamT0Q3WG\nXpRLO8yAAy3T3NNLLlERXjhRAgPsPl7O+XxOXWmtYzKvgyk6DGjp2gG2Wi1CBc+fP3dt6EO6\ny7Nj2uqj+gT+J7sMhQ0JP9RqNekPzsw2NzNt2GxVERuhCWZTsLshIK0jlLKVICgG/UpgI2xP\nCoXQjz5JEqBU/YrEFVtVBEWoXwHBcR7Lg51MJjwgF2rKm654lh8fzhZQ5l6I59HlkY2eGWBK\ni8UihX6YKIf15UwRFtaVi8OhtufzuSjE0IOTJPnwww9DCF9++aVN4WAYIHUO8ba7OaaAe762\n5rXWJ50RsysnhNBut4UA28XjzClL7MyOFvUD6ZpRudhqOEvphCpM+zO9AphTRO+STD9Ri4hy\nZssRdQPg9u2byLyB1ScpX5c9QVehVVNIYyusZ1mBERoNURFeQDk9Pd3b24O4PxwOKdqrT0hT\na7fbdJZgd5CP2Gq1yJpytA4F9ihSA2OC11JxJuxEq5lwLwhRaJwUyB+Px+xNZAVY2gLK1SW6\ncTyXsz4iG2WWeWHVhvtqPp9LEX7zzTfXrl0LhiZgSRy6CuW1gokIYrnzh5uKYBIECcIt0+YY\n0Cusz8GmhkaE4cKN6+eEYAnTEp2yxcC4kWq1qn0Zk4Wybbk0JQMnnoSZeVpOjPASPycmOhqN\nqKSjnIfV1VVlW8oJQ4Pi5jonPny3/st6PFYRuvLQlo8zHo+Vh0cx9JCuWwsncF0egVOEOdO1\ngxtBM+E+LlMe1snJiewDEhIIcwLbWEffEcSsiYmx6EzMpSn4d+6M2X8lPCmnwudpdT2sEyhX\nWjzuxbmcEqcgSpQoUaJcaoke4YUTmXIE205OTqAXwmQTUAYHEiesWq3Kw2s2m9AjBZXgQ1ha\n43A4dA4ZzY/ocY9NnS3LYgNjIITyEZMkcSCPLOIk5bvrK4zTYOJwlo4YDEJoiwM4oC9rGgfj\ndz548ECTsLKyQmtv3ctwOKT6tn5FtR2Mccpy2hAUfpWcznCW76ebAholsoVbsFgs5HcOh0PH\nxS0Wi0ymnux0OgXIJQZs8TGuDhnYNg8KIYxGI0qbcqfZwB4PhceEW09yiD7Z3t6W95nL5SgO\n0O125SrZkK1zX5JMVyAL5IJe0HqM8+AB4+HhovV6Pf2xuroq17BarTp8m7XKjduiB7jCvGs4\nbRzW7XblgB4eHuo24aYuTD1Pl/9Dcoit6sCEkAXhsBa7GCzU77i49mCmBUo5S5Qll6XyZsPt\nl1OiIrxwIsVDOApYjPynXq8nRHQwGFAMWguaDp/UCev1esojLBQKOk+v1yMlw15FL16tVnOq\npVQquULPQGch5SkQV6Na8cJUJ2F3Y8+1aJgjfYTzaq05/HNpKp7ocwBGkNhgtCyZCaurqy4w\nlpxXBUbGBCXWsBvI+cvlcrIzbHVmEiooa8cunM/nlYcAggoCTEBxNBqB3VHunLwC4qw8C3Ze\n5gQtReRyNBrpAWEG1Wo1Ot65uueTyQRtSgwJFeVIN6+88ooaJpTLZTLVSqWSzkmjBovcZvdc\nSy+yN8W82edLGA8AmTMA/NLPdmVlRRAuATkqmNsZy+LzWsbMM8UFpU709NfW1vRHp9ORAraq\nhZPrmGq1qqdZq9VYPKxVZoDYKufBFrFBdB6ZPrFza0HjYEzSuWk8wgFR/zmJ0GiUKFGiRLnU\nEj3CCyfypYA9LZgGnsmRmKIqQbK+vg44BgIj97FQKAjLarfbpF3Tnbzf7+MNgLvCdgMqBI5z\nxX9rtRqcAg7Ai7Ipyc6YzZlkCfs5N6g/nI9ouRigPVjZ9ic6DE45hT+63S6emVznEIKctkVa\ndGY6nco1xKGEpjQYDOSCAFrm0rIsmjFdBb+Tp4lvh7cKNabdbgMOOzJFSPE0XDTyT1gDmkl5\nMP1+H8yNhwjMC72e5AHgU4jKkGxBLx2qtrOzY1kkjEHeD60Nc6YKPE+WU4HGgyq76/I0cZWc\n+86z5nHrFk5OTrTaCRa0Wi2Ir0wOFBVcf00FAIkdQy6X01tWqVRoqAQwYAcTTLZSoVAg114n\nx3/FF7cTrpPwlZ1eC8BaPPzcqQgpAkz4I0vbiX4hEhXhhRPt6Vnw0CKHeiHB2Sy/n/Po/ScX\nLZ/P649ut5tPa0bb3RDqoH5IRJDKFOxcyDKlR+ZMtmL2ZcvSvm38j7vOajv+zQaTnP5DH5yr\nRxlVqVRaX18PIWxubu7t7QVDfC8Wi9rEx+MxvHPUnoPggNeoUQfBslgsgkwC2JLYwESRysmc\nDIdDDYBqNTaNwelIu2PyB5sv80Nsj3kmwJwkCRRTJsfl1SWmgg+TqWFvbm5evXo1hLC3t0cs\nlqdQMO0veJqcilugUYNDxVnGPF9ugUcpfM/RPoNBFIkpYiFpYdvGiqwrzAX+0M+pvyNoFKQU\nBJVAr1MtOVP1ntAg74i7Owsg8xXYL9FNC6W6px++QymGs++IC8MrxB7VYYjQaJQoUaJEueQS\nPcILJ/LSrB3nWJS1Wk1uTb1el7lKhW7SmKCoYfiHEPSHdewwiqE50IKOst2W5ueS2JI0G30w\nGODo4KthuducbiAs7GWNBOyLy1k+C9xFOaBZ/kWWPuM+tNyfEAJlxw8PD3Xybrcr344Kn7b9\nDca1qwCCD0SLx36/3+12oc5aKmkIYTwey4cYj8fQT3C4mTqQOq67SHPecXQsMpm9RzImJaB/\nEEpxH+Gh8Cw4OW4N5FgYrcViUR7h7u6uBRJxnR2MwRMHCF2mfRBtIVaeuGsrBreIC8mtyTKt\n3Nrgc8gjwJg4lyT2cRXoo5Z/axNqLbYRzuOhZOmyOZNCyuVwT8k3ZV3hyOZMjzMHlpzrzFka\nkRX7K8tfY/CXWaIivHBiowLBMMrK5bK2p3q9Th3tRVrYzL3JSZJo52q326J6h1TZKFqDhqD9\nLxnxOpiWC9PplGglhX318+FwiNJCbTssi7dOis1uTOHsnuI0mS3Szx9oRMAi9xovzzaNYwzs\na/TJ01fNZvO1114LIQwGAyl1yoMtUyZ63lT5oWI1GxaX1q9EymUGBGIzCaPRiJrIiiPWajUF\ncZcZcjzszbnprmCLY4WzyDNzns90FpzP50SqBAWDiOZMrRnUDKsCGFM3NRwOGf+NGzdCCJ98\n8gkArB2JIzEmSSLLwwKhEmv62J/Y85BQYXVeMHhpViWA9zolnZyXpME64S1wxdmFaYO7Yiq5\nUKhdftwLFg/XRTVicIAkS5hSy4K2t5a9HMYEE/5/aGLMUN6pSy7RFogSJUqUKJdaoi1wQQVf\nzYbfZbtR/AxD0vaXl603Go1k+B8fH7vE9nAetYSMb+uHJWkePaNy7DWQWAseOr5D3rSIszAv\nZIRsbSrHhwypg8KvMGNxZK2PyyUKhcLa2loIoVqtUgpOlj6+7CLl4lpA0lXJKpVKIpiMx2NR\nbPL5PNxLaEdinyr7ULZ/o9Gg+HUuzdWTIwjmJnKNLsTzBf90PgQA4zKtHh6My2XhaJg4PCDA\nUh1DOTHrXOKA0mQRh5tH4GopCEnmuehg6w/pb5tr6Ag4c1P8E/IXE+JoLIzHOl7WI3TYLOwk\nwBJ7ThwyViNkYAdCyLNkwLCZXGIfIESWEWPrUbiJYpDW+aPcgQW9nVg8wCEEWfaZ/RWOPtNy\nySUqwosry5Tvzr4wT3sC8EYB9EEN10Y/Ho8FuMGkR4+Kmy7FwAa9TPN/6b3ARZOUlM/rNBqN\nlmmtURfW4j1kRwDNs7eAAHKORiMXd7FXTNIiHY4+GgzsY8FkXbdWqymrulQqoQiFf1YqFU5F\n2w3H0QcKRu1hgvR6PcKHmhzUtjpFsNVCFBRlcT6fQ1LV5bgRWxyEG8lGvFCEzCE7/iItbcqW\nnTMV21GNBMYAfglAuj1xPB5Tut31KJhMJg8fPgwmuhzOyysHz6csA/rblT4IRt/bk7g4IrI0\nRTItMMgPgT2zipBPmBwKxjpgn2wTNzNYUVkd4wKBVkO7Cgb24bpYsg39Zk8ezHpwIUmMxZwp\ny+6sh5zJWSqY3tqXWSI0GiVKlChRLrVEj/DCiYxBXBy6kydJIt+l3W5D/JOzheEMR+b4+Fh/\n4LRZN4XsKBwykgVXVlbwVKgTRqo4XexlflIj0Q7e8ejC2dKIkFycS2draLmMsWKxKJbszs6O\nfv7w4UMYsNwdlyukjdkajUYubbpEXyQ5ZJZHg7OIC+76YFi8i7KuOg893K9evQopEZpfMIlx\n+uHR0ZFGXiqV9DSHwyHNLvQIloZb6xAzUFMmcDqd0rGPeeawZaZNTy7TacEyNYAxXT9FZhWa\nRrfbVa9HZR9qekFigymViUvHYnBOT9bRCcZ34VlkPUI7Uc4j5JxUa7NnZvWCcLrnRY4juaTh\nvGy/JNMpE2GeLXGJN8sNib/t84J95q7o5sdeMZx1QO3n4Tvy6POmrdVllqgIL5xIW2QBK0C8\nbrfL7g9bj1iUoNGTk5NsMWgbgAH/RMtS9oJh8CazUdJ0hhihg2hs+FA/YZcRNHRu/ZdwFi9y\nu1u5XL5y5UoI4Z133tGmXy6XP/vss2DooNQWyKVZz1evXiVDnBbH/X4fziTpJZTlRINCUMzS\n5YkScSNqaFUul8U+7XQ6dsubn63vfHx8zERhxEhHMiRsAuwP6mTamCiX4IEuTV89p+0sygqs\nx5JDH6AGWHLg6kQNNUiMIVVOoZ4RfWIhl1oV6JYca8ApOdahpUfyuVWfNvzsVlRWJWBDMA/g\n29yL099cTlNhg5fh7MvCH4TfnArnGIvAu9HaIfGHvTUHlS/Pa0PGe+TsjLwpZ89J7NRdZom2\nQJQoUaJEudQSPcILJ7LxbfRbVmqv1wM6m6c9zSmN+OzZM/1c5h5dEbDNLY0NFC7J9MSxxbHk\nWs3nc4F+s9kMbo4drTs5J8RlscROIDv3QyQxzdxBciggKRboysrKzs6O5oS2A5Z1EkJoNBqb\nm5uPHj0KIYzHY304GAzkHVLhjCHN53NN5mQy0R+0akpMDyA4k7ouPtD+/r4cuytXrtCvdTab\nUYJAc9jv95VZCE0J+BEShy2olmUOuzlhJgWHwn/B49c47RmYajhBQIW2G3MwRC3bDoI/8mm3\njXK5jFfK+fGH9C9e19y0U3AOSvYTCxiwwPhqYeqQZQnGHM/y+z9gTHwmCoQCn1iWrHOms3iG\nRUSd1+jIXMEQl6xr6/JxrSuPsAPYl8VxZHKm08t3Aciat+z5L6FERXhBxeI5ercJyNkwjFiR\nxWLx6OgohHB6euqQmcQUbkYJUYnGCjEnRzicTCZCWbMAFMCRVSfsgPBXszovMTnybrOzJDfJ\ncDhUldQnT57oNofmjP+kAAAgAElEQVTDodTJcrkEAWab08Y3GAzq9TpJDtwd+iNJk6P1c/a+\nyWQipbU4Wy48mErinGc4HBbS1oOyRdbX11dWVgTA0o2I2ciqimWGTE/JaWoaFEwjRld9e276\n85XLZRSh0weocAwdwm8gdXNTWRvjiRMyXTZgGdIEA91UpVIhiuyCXvzQgpyoyaz+4+csWgfC\n585W8WaNWTUTDGaeVa48C5SWjQpnMXAufS6WiyqFHItqdKzvLGhp1ba7rtVSWWg0mJcaze20\nnbUAeMVsAQRH5L6cEqHRKFGiRIlyqSV6hBdOgEZxHYBrsOWp98ivHLkAeM1yZCCI2pPb64YQ\ngPWKxaLrNIR1HzKx+tls5kp/VSoVOW25XA4njHHibCFJpiKUdePkCJLWRgbYcDjEW2VI3Phg\nMBBcmTPNMeBDYnoD8TlXw6aUcbDLpAbYzOfzKmW3u7v7wQcfaJyLtKPTaDSSl1kul8UyxVGG\nTpLL5XQvyzRpD6/CNubNTpdksVjA9ViebYYcjH9PyYWFqZvKOV1mIZ5okuaVM73dbhenk7VE\n1h2ZeZbrYVcOY7ZnyGJ39lfZg5dnKxG6ZeAc0CTDRk5MWQb3Fa4/418ul1S8C8aFdYioJaky\nJP6gdEN2bO5ge2tML1BqFs9kfix2DejC1LmrhLMv9WWWqAgvnCg8QCMYlm+j0VDtEooWzudz\nbb4oGwscwfdz5ULslpqYqoO6OjEGCmaGVCXYLjAOHyMWFQzeAkjL9kEFRQf42E8s25sZAO1k\nAOCujvjearVeffXVEMK1a9cgW6IIKRdpC9kwYOpMLtI6I/bM9lfUXwWZZObH4/H+/v73vvc9\nDZgWklQwoFppLk05d3tuzhRDQf1oABhDVMYB4tayyac1siGgurgyYctgjKds+Iobd/htqVTS\nhL948cJyEeHuMuEuArrMsIJDxuKx6yqLGfITdDPj5JxWDwHzOrVH1MAuNq6C/iYhhCPPBWwZ\nLXeHzQScjl3lSKoLU9PHzYDFb/OZ/pT27ji5U8BZq4I5xNBRAQHeoMssERqNEiVKlCiXWqJH\neOFEEIpNPwLUchhLu92mOU4W5gL2cRFy/RyLGxROP8Rpw7pPUoJiML0pMPyhC2Ij45TgEwDR\n5EznWGfsY3ovvzvdeLFY6H4hbSK5XK7VaoUQbt++fffu3RDClStXnj59KmSSmgC2pJz9bTA0\nV8u9xI90ACNkmdlshu+lXw0Gg/39feGf2PKc3NYR5fbzaXlY5+SF1HEHLAUV51eVSkUnlK+m\nD8fjMQ4ciDcOges2YPPPcJcZg+3NFEKo1WoHBwchhHa7Taa8rXrqaCCWu+j8Ti63TPlNfGV/\nniW5aMDT6dSuIgdRhrPvQjhbFYGrOFSQxlvUGsWvsuXfaAcGf83ikDzWrOPLs4Ma6tw1/rW8\n32Cq6HEv2b7H7n6zYh8BDmUwyMdllqgIL5xoTQNzZbH+UqmkxIZer5ekKecKhkEHrVQq/JxQ\nH1iNDRxqQ6f2ysLUCNZ42FmgU9p9imMcasTPHf+N1xvglKiSTh7Mu41G1P3SZg9gMKSvfblc\n3tzcDCFsbm4qNlmv19mwUGm1Wg1wyZkOjBnNTXOrSqVCGE+DJPe8XC7rcpxZe6gUMOVjRqOR\nRlKv1wHxNAAwUmDMarWqkWBehLSLHtAfG2WpVKJHY5JWybH5AGB97P50V2c3ZCpcgM0qDx1z\ncnLyP//zP8Hk56gKqAW07fGWZkyE26F5XHdhioZjqDnwMGSUpb1fOxKu4rBrhKg5mnjx3S3j\ndWY9zXla2iKYei7Mc9aMQ9B/2cI9jhwLp9fyAHjoViXzsjilbgm07n7to7dWyGWWCI1GiRIl\nSpRLLdEjvHACWQarXJ/buL0zt7FDW62WHBRYFfTjtiF3LH06j9OAZpnJmLaJfaQfuQHgM1na\nm/tDZBCHoHJflokA7ZNbBr1xyVXLtBonKYPz+ZwypJBr6AGER8X82M4JjA2vUS5avV6nxChU\nF6iw8lYbjQYNQG7evMn0auTtdttZ7tZ3wVXS5XhSkH0oCMCzoAZYsVjEibF353wd3M2QOiu4\nkjgoEEqzsPxkMjk+Pg4h/O53vxM0yiIsl8u2OqsjueDiQNLJ+p08cQv9gVhkoWz7XuAdOg4w\nkvWZLHqJi8aZHVfF+q9gKsHgEMLAF4uFaGv2GPu62ZHDmsEzs7fGBFpn2g2P+YFO7NzlcBab\ndUisRX2iRyiJivAiil5ay8oLJuzHls1+R7MbSmNY2re2hmq1al9jurGD9bktwG4uyzSNQV9Z\nYjfHUDna1cAMZ7cePmH7diCYPXlyls9pIzduSwJFbLfbYLwq+xkM0ESxGLtdslEySHZq3dTa\n2prMC6ZCu78dbbFYVJCyXq+vr6+TV655DinGxeOYzWaaedXqDGbTRxFC/qTNOgrYJl3YejRZ\n7j5KHc7kIs2i0cCgtjIDfIVVsbe39+WXX4a0kqo9YS6XK5fLsjMsgDk/W2Q1pIoBzWQPduek\neGkuTSmxKKLTo3axLTKFTNno2e5RS5a06ZSWxVptDRcH2mc7OlGPYmkyWChtwUNxNuLCdDFz\nE2gpnehyazG4P3ji9g+nCG2VgCymejklQqNRokSJEuVSS/QIL6LIDnUEBGgOlPUKqfEOgAN9\nBgsRiNUCI3gYmI3BuFbWZA7GucRrtE4bRzoOiO3Zq2Os45Ul7GW9RjsDDv9BLIZG2ykdNplM\nbIK5vK56vY5XLV/HJuS5ZPlCoaC8+Hq9Lm8PU1o4YTDoFnwcAMMQwunpKRwKnYHHgStMPwe4\nmjTN4O6CwdmoAupwApFO9SFuBH6JRS8dRyaftogKZ3uGhBCeP3++v78fQjg8PNT0grQDw9pR\nFQoFXRrg1AID/JBH75iZ2TWQz+fV0Jiarqy0ualZaj8MGWFOHMRix4+HBzsXBwt3Kme6azG9\nABuOZZO9qWBeZHuG7IDtV7pN6+Da6S2VSo4KlAUDbPLuuc5i9AhDVIQXUPRazjO1GZMk0YbV\n7/e1T5VKJQiHWtnj8Rhwia0z+67astouw92+UYRhHHTmYh4SXifHG+Qr4aic06FS9hNuHB3j\nNoJlhlyHZUCqu2pnC9JcXV3d2toKIWxsbOTSgqIoBtf8aDwe03IIGielTbUdQyC08RUU23A4\nlCLs9Xrke2hDXxqConQzneKFMQaj5LJTTajPxq5s5EkLA64/54FwyPMlmpXP591I2u328+fP\ng2n4BfC7SGvlEPPTZuoYoVwFzDAx/E9HDbXKEsjOrYpFJhvB/pEN9FrlAdrJrxwELeKrXQx2\nAm1sHjzc1aNgHfKW5UwPL97EbLAgy5JlnByJuuV+rYXnlt/CVAlnMr+roo0++T+U8eWRCI1G\niRIlSpRLLdEjvHAiExKDDkJKkqbTWaqYq3BIQ20gOFsFFDzEEhZsA+5wNnvPGfVZJzUYF82O\nP5zNks76N+fe9XcRBwDxFiYBmXRyeVrValXu1GKxEAlFbop86PX1ddU829jYALnVZCLcJjQW\nXDQ8hmBaLnCMPl+c7T8lR7BSqVy9elWPTOMkXdJORXI2GRT3otfrMYdkFsKswQnDfwXkXKQ1\nAUBubV8hnZAFZmFt/erg4ADHVzdlAQZNYL/fZ1WMRiNQVoghDHth0ivdMnAeYdY7sQ63cwQ1\n4Y7bkhUcMuuiMVoiCyx152eDK1pw3rJmYKLpgG63S66tK17IJ8EwiRzK4maGR8DVKWLg5gRP\nlMrAKp9mv7IYNee3rvNllqgIL5wox5wiF4lJ/daSBc/kJYd5WKvV0AdshbD1iPmFNIzEJsju\nYKFUxpOltDl2YlYRnvuVRbfcO29H4vBPxIJait41Gg0pGFsQWa2pBH7qsLW1NaXbowhJY+92\nu0Ca+jkM2JB2ZASCJsnEDozin2q9tFwu6/U6+ymUTqmWlZUVNkFAaVKnpcZsRr+OIX3Caho9\naCr4BAOswfbsdruOJTufz0mYEePfNqbHVLKYqn2s8CSr1aowUhtnWpqSpJzBlekBxrdgKRrR\n0RoTUyCJRehwwnB2WyeKxreMnKnIxghZhPpkYXLesyE0GzjMp80vyWbRtDCr2Uo3C9Peyw3S\nqm0+J6Bg9b0LfDBgeMXufQ/nvVDZmOWllQiNRokSJUqUSy3RI7xwIs+AmmeWRaIDaAhurWPQ\nEv0K8BMHK5dWfRRGSp41lEXMZNrrzNNk6ixp0xFbskS4rJkvcURQfrgwafuOCGfhUI22Wq0q\nkbnRaIjEkaQFUZMkEbFlMBhYJicl1kgo1AxsbGzIecoSH6AsNptNypJhXzt6ITCmAFWcvHna\nLkqdQ0ajkZxUQOxFWuWu0+nk0opu8vboa8+N265PPC/8uWKxiFvg6qbOZrN2u62vyKPH886Z\n6p32EVh6MKCchk0m5XA4BEgEubWPFZoup2LtZR80HqG7u2BgSdaSzZvMkk0cjLE8r1G7A0IB\nIS1unOVIB1MFwnlyrLThcAjFzJ3c1ivgzDxE54LrK3fvduS4fTx6FwqxTqSbTDncrgTB5ZSo\nCC+c6F0ql8ssaF4JVBrE6CRlAMJrz7LOnO7Ry+NOhWoMpkMTmJIrp5IN/mVjFSGNZNjSHvbN\ndyicJRxyWHZ3kIYAEW21WtKIwYC92olarRYqnJETE83lcvrhlStX1tfX9RUJGLrBSqUipVWp\nVPSr4XDISFB1bGp2ulydHW4T1iVfzWYzaeLJZLK3t6dzSp1w3Xq9jtaUPjs9PdUfoK8rKyvb\n29syC1CclUpFqpTKCVbbMcksBp4FG72L3tm4Wi5NzLDxQj5kyS3SmgZA9PxhUbtw1ubTSJje\nLGhpIUQb6HJRxoUpj0C4FC1i80zsaC0v1GKthO2zyT+uc1a5XNYrCWkzWxMgl6mkw1LnEzvy\n7B8oQqgAhAbttdwGsjhbuiFCoyFCo1GiRIkS5ZJL9AgvnIgsU6vV5MRQZtOCh5J8Pk+GkA6z\nREeOcciMjFysY+xlSDQOUcG/qVQqYnPgM+H/Qa4LqSlKsbckSSCY5EzVNO7CGaSW28YtABXK\nRVtdXZUbRy2uVqulAQiBDGlaui4Nlw9kknZIGxsbkFbkTg0GA4ang8EDLc2PxHbIgXLjRP7U\n39QapW8GRQlo5TEajYDjdObRaPTy5Uv97QDJnKmc8OLFi5CWRwghHB4eHh4eys2lx8UyUzAW\nRoyd/+8CDxemKJcOxlOhWJ28MQfQ2XKpTBe15VirjrGFj4hfxXpgkHPTRiMYiE8HLzO5ibaA\nAPAJBFqXIGvdR07IS2frALg5tCQXqs25jEZLQeLkMNScI+je9CwszE2xSziOaDBOM2uAz8GN\nbQGNyyxREV5EWS6X9FqC/QWcCLYT0pdTyePhvAQDyyvT544qxnZmv7XXBcuiOklII2QgOXbH\nZADUomQki0xadJJJn08yJShBO69fv65shLW1NU1Ot9vVwbVa7caNGyGEe/fuYRyEtBJKp9NR\nLZjV1VVqZKNaqAKqi1arVcrBgIgyHobkiHzoKgGqYq4u0no3g8FA+CczTI9DpR8Eg6GxMWGU\nWDwW0FWHDQYDjVxRT418Op2S+q2TE/RKMhUMFiZfhUfzXQAj0TtGUq1WMcgs4s38oAstHBfO\nttxDjzpYzw0jnIXQMePmaa3tJNPqfWFyb1A2boFZbedCjG4kDpm0x3O/TAWPgIXNu8Z53BO3\nYrWmC2ouTbMzF8u0hkL2TXdREtkNERoNURFeQBFZpt/vyx0h6m5fUe1Bg8GAcAu7vwu54b3Z\nM2T3F1tgxW2UmPk2jsgmjkbk5zamEozbat92a+/zJrsABscXCgVFBDc3N3d2dkII3/ve97Sp\nPXnyREkLk8lkdXU1hLC1taWqYNLfcj46nY5KpTSbTboVSiOOx2OXTIYbhwUwGo0ODw9DCL1e\nj5QD5gHXULZIpVKp1+soQud84PYlKaknpNr69PRUWtPWN3F7aC7tUBFSb7XX6zGB2CV2a3MB\nKvSQpVMxJH6FPvsue4VbU6YEBCuXLQB/h03f0nx0sN27cY7l6GRrxTFgrU/GTEKRs7TQECw5\ni0Y4nwlVgXpwYTk+xBzh6TOqrLJkerlx5sShL3bYduaxD3gl+SHqlufLY+XuWE7gN9nrXnKJ\nTnGUKFGiRLnUEj3CCyeDweDk5ITM5VqtJi+EVAfsbgxDyHVYptYFceCJQDyHdGGuWoPdRSaw\ncPmEk+PEOFzUnsdFVhxBMRsaTEznIEJlwJhQJU9OTkJK4tcnAiFPT0/xGEaj0dHRUQih2Wwq\nENhqtQjpkauuceJXDYdD+SUkPxwdHeEaZkdLsJBmgTas6yr44IVUKhUNqd/v67TT6ZREfu4X\ntBac3OVvLE3rLh6EheOcq2F9F7DK/yOC685sA1G2OCqPVf8u0vQJoEIqReRMPRfnmoB5LtL0\nj2WmUV9iSncG40g5uBUvihmwufkOpLU34nBjDQBny7nXfAU2A65goxXZWCyT5iIU87NVnJx3\ny2IDMwD8sN4eC9LFL2z0xBZPv8wSFeGFE7EJUC21Wg3iO8ewxHkztcvYMtxU63dAaHK2sC/f\ngu3oX1vYl12PF5VdBpAQUA7ig1Oo4bza/OA2C0NY18GoAau2hSIOBgN9UqvVNGwKkS8WC+kV\nwWvsp5rDly9fCmWlBM/KygqJENw4VCDpv06nIz364sULxRrJo8hS0jVdTtsVCgXBniCEPDtb\nS08Hc3eYAoSCIJjwfG0I1moj1BUZkI6ZYuNMbOugxI7okQ04wXnRIEkudOpqkemsi4WEnEtR\ncWheMIFSfpUlrSSGdcIA+MqFLbOxhqzdkJh+hHzLOW2QUtM7Go00LePx2NZms3MIaLk05Qy5\nce4uW899acg1zDMvFMZx9m3l5M7y0DseFWGI0GiUKFGiRLnkEj3CCyfyBW2tQrj4cAj5CkeB\nQo54MwTk82nrMvC6JNPtxfIFsFtxJjBILZjjhm0N52Cs3Zxp7ZaFSS1lETOZT2gQr5LZq6ur\n8jxGo5G+KhQK+mp3d1eJ6pjbtVrNehgyz09OTsjEgN+hMqTY0dTm6Ha78giPj4/lCB4fHwu9\nnM/npKngu/D4LAqdpcUv0oZZekB0sceHsM9OoxqPxy73fD6f61fwlSxNxqZ5MCr3vADThsOh\nqzVDu0qLmvKU9SuKO8sJ0+PI5XJKsLGeHAuDlcNUOKQuZ0pGOMKU5Z5Yp5P7dcf/H7wwSx5x\ny/jc98J+Cw6pT5gx2D2DwcBxgJeZHAnwW/t0HJ/T0mEshJt9WbhNHlk2f9/xaECbBOPHyjIh\nKsILKAoa9ft9bTTlclm7jKWPuu0VZibvj93Csq+9hZvYerSz50xVER1TLpf1ktsA1XcN3sai\nQI0ougG6mw0NWv3HW6pkwevXr0vbbW1tiY15eHio7aZUKgkIXVtbe/r0qZ0cwVaYDrpcv9+n\neotIm5RLZgcBgB2NRrDs2N04IckS2UySYKBj3QvJMI1GQ+fs9XrSZGRWdLtdKKlux2SfBYKj\n73FiyuzZW6BJBc/FRm3D2cQGUGVgW7c5ArhRowcMUFFAUVgxlWy3CrdarEa3mHk4q7RyadZj\nklJ5z9XxDrkNxhTIrnand7lKkknjS84rGb8wha1RV2gdPU07LbxZ+jmRyJBSeW38kpeFT2wC\nKMNj2BbXDcaGsICqHXkwbyJaU0OK0GiI0GiUKFGiRLnkEj3CCycyACuVikzLarWKlS2rE+ep\nXC5jP8plscQ27H1MRZwVXA0BWcGY3qVSiaxBKj7DosS4hiP6XYy4xLD79KtSqUSpa5s1yM8Z\nuXysK1eu3L59O4Rw69atjY2NYBCkVqsl5wmPcGdnRwmFtu5lSH0dgFAKe56cnKh6S7PZhH7J\n2ChMiiVOlysYPfjZ9N+xfEUdRnLhysoKZwCSdY5gp9Oh/LfmJDHlXkEv8ZB0a8ViEaxyNpsx\nck7iXIe8acvOc6FuAGgtU4GvtkirtuKS2rrtbhkAHTtoMRjfxTJNXBKq9aRZIbAinfMXjM8X\nMj4iq5cFht/Mzy33Eo/QXUVwCIuKnn9UMKBwgYNksuC/TbV0+ZoW0WX8FmDnW9x6zsZ1GTZT\nx8+BYbKhjUsuURFeONFLyHsLUFar1eDp8QfqRC+kLZnGCcH3eNnAS+v1OkCiDrbopWtkcXJy\nQtqAi/8RxMplavjaPdTuSo7mjtZZW1t7/fXXQwh37ty5fv16CGFnZ0c79XQ6lc5AwYxGI/YL\nKcv5fE62CaFBpFwuS1+enJw8e/YshFCpVKSiVlZWAL6Waa0WUUwnk4krKbdcLjWAvKmTAseV\nqtnVahWLQSqqVquRRyE749mzZxpSu93WMTpzOI9bS45/o9FQ2HI6nWKmlEol2I/LNJ/dgW+k\nduRMFwgNSbzWYFoTT6dTFhjmhTWnOF5qwAa6KFxOpT2WN8RmVDILFRXllAfryrKUs1aXvRDP\nJRvYdkXILLWVKBrgob0j3SZ5NbaUj1XG4axOdcp1mSb/LFPSdTZ3yBFE3Rks8OuCoDa04Y7J\nmaI89kLZMOollAiNRokSJUqUSy3RI7yIIhsQS41sX/kZtL6zpq47OKSJcfl8XlYnofIkSTgV\nXfHyaWHrRVrYk3PiD5VKJXFVcBbhjPT7ffkTgK74VZicFpK1qJQcgmaz+eabb4YQ3n333Zs3\nb4YQ1tbW5JBVKhWdgZqfJGVPp1N9iMuVJIm+0r8SvOp82mJwNpspE//o6OjKlSshhHq9jrdH\nZqFD1WznIGor6+BGo6Eab2tra81mU+QRCrmFlMUwGAxwgDTCjY2NP/7xj+EshsYfPE1HHimX\ny5BuuF+yGxdpEXbKw5LqV6vVNLYkbTu1MDXtgM40NhIxIRDNTaMlOkPhLzLn+OKz2UzwO0xU\nvEZbZg9AlWQ4hs2DwzmmT2eWd5otnxbO+qn2D+ui8YxYq86Lms1mg8GAOum8U6wZB1GGDG0n\nC5bgNeLmZlFfuwbyppFhlovr7uVcAg4esEWSnC97OSUqwgsqbMdLU5AQpaUFPR6P2cJY4vo5\nu8wyU5RE+7uDiZIkAetL0ox4l8S9XC7FtLTxS3QzQSydh10D/EchKGI/bJo65507d959990Q\nwvvvv3/r1i2Nk3AU9WuWKVtdIO1sNhMQyl48HA75FdsouhxgkFnt9XoqFlOr1aQjiZkRLl0u\nl7oKM0yDwCRJpFc2Nze3trZCCKurq1Q0rVQq6FRXTmU+nwvLvX79ugbw9ddfuy0py2/kw+Vy\nqZkn4jWZTPr9fpJmqpBnQns8vsqnFW0c3Lo8r9MCgKr+6PV6DmtV/QFXSdXyIRdp+VBX88FW\nbHAhOsixjt8YTGhzYSpFJOcVaoc/mU2Wd0gjf1iVuUiLtrOuRqORFjmsUWwX5seOxD07O7e8\n0YwE5Bn1acOu2XgHT9M9Dht0d8RsfpUzxU7PHfAllAiNRokSJUqUSy3RI7xwIu4fmWfAUzAm\narUatfZdvS7LiXBGa870taedfUgRVLCvVqv1/9s7l942jiWMNqkHRYl6WbYF27ABG0EWQRAE\nWebf5w9kG+QNJ3YcJ5ZESSYpUqZ0FwUelHucuxbQ5ywChqaGw+Zwvq6vq6rx3MI6u76+jmwO\nemASLkQwVFK0urGxEU8eHR1Fjuva2loc599//53P52Sr0uosnMmnT5/Gg6Ojo/AYNzc3Iw6j\nm1cuW46IcDabxbuQEzufz5m28+kmkwmGHqFwHOry8jKyTkajURi/u7u7pKvEQQivp9MpU+k4\n4GAwoB4Ra3R/f5/YvfI2y2pev1gsopA/x0O//vprnFg3FzfP9OMBKVTxv5PJBIcgv4yy9xgK\nCgHXUm9VLgZSbMLPnE6nVebhcDiMP+f4VeLicrWrZWXizefzGFVcAeK/bFpUSUm5dA+vNadH\n8i4EZJxJf7XJBnYCkWjOGisp0YkxIU7icppOp5wD5DiVJ6vMl26WUFn55LkdWnXaJSX7dCPX\nnAGLyclf5a+mpIvnNm3WkU+1m6rTIArhnSPu+zc3NzRPYY0wfpPD4TAeZPeDbDe8uLiJY46V\n1XY/kepGfjwdUkgujbc7Pz9HCFl+YxdQlnBIn6OKYH21iy8GI38+Ho9Z4IktZF+8ePHFF1/E\nM1EIsb29HSeQ9YBGjqF/LEleXl7GASeTCXcEJgf4gbFJb5xD3OIXi0UcgR1uR6NRlO3fu3eP\n+w4JlgxmHJzVODYrxlmNBULsOAwrbsdxzOFwGMe8d+8e60xxqFevXlEMw9yl8h7zKhoHHI/H\nDNTtquQGKxj5wetDY7o337gqchon7xsP+ERxfVbLb3ibvU4VTd6IqmopTk8f9s7lgLlsg3lD\nSXteVkKY35dmtpUe3KTGNPwVSsPghMMfcyDGB2Mcf5iDI1HVwfksNLPNtRbdfM686lEtr6KX\nvdWKOJ5qLo2o0sW7gqovClqjIiLSNEaEd46YTd/c3ER8wNL63t5e7IGwubnJnq7MKAmDSI6I\nuR6u4G3qv4Wzd3V1Fe8S8VMp5f3797klaf6nnOYXr9nd3c0l+SVlJzLrLCsjKFw1ZrLh6R0f\nH8em8xcXF1i4Mfcn3WY+n0f0NplMwqQdj8dYo8QZxMTxpuHWxrvQAWtraysi0a2trd9//70k\n4/fdu3cRGu7v78dr8JT4CtbW1vi8cQJsf0HN/tbWFo4ZdnRJbhivpy0ZYV882N7ejhrH7GBT\nr0ZUwbDHew0Gg+FwGDYvFYE5duEKIXuFXM14MXY6mVP9fj8OlUMlspz4ftdWHeyIuogX8T9z\nohMOAXEz4RfZqpUVfNvZFJ6rOp/MWurGif9Z2ae5v+CH1V7BMYY5a7Rr0nIEWlXwEXJGaJVn\nlMvhq4wYHB3yevLHYdz6aYMR/pVx5mXVMzkCrnJru8cRhfCOcnt7GzKwvb0d99xIgyylXF9f\nhxDy+5lOp90GE1RB4EZy4+POjvNDQQV3dtpF0iWEf8I6oxqdSoOsf0FeVsFq4/Vk1XPzvVl1\ntImE9VLKxbcaliIAAA9fSURBVMVFdIE5Pz+nCUtVibzW6T8eGhCPDw4Oqlv84eFhSNr3338f\np/TmzZvDw8NSyr1798j4Z12KGg8MqPhSmBOQhLn2cQNlbqxoKumjlB9Ur2GJ7o8//uBjcsfk\nBs1bcOR+vx/dWZepNTZvFydMAQle5dXVFct+eRoRI8A1U6V6LhYL1kG7dlwv1d5g7KMZ8cqr\nqyuu1WqLKIaXggpmeF1/L5/wJ/NsoWs/8iuoGh7lP8F5xnBmNFDQXuoSQAUIQkjrojgmC6j5\nu8NJZjqYP2alYXm5kWf+TxVE5dbmxUJuC42jNSoiIk1jRHhHwYBaLBbhoVEBRgLe7u4ull28\n+GZVSX19fc1eqWH9sdSf55hEGDwgfYYwqKSMQcKCiCrWOtv95Dl1NZdfS9th4yktFgu6c1HI\nGB9qNptFaHh2dhaVdhcXF+fn5yV1VqOp2MbGRpifZWUbjkajnZ0dXhaRK9bZcDh8+PBhKeXV\nq1dv3ryJd3n79m0p5fHjx1Hhl6sAYzAfPnxYbTSPw8lbhIlXGXoUNeekkqqiEe+6JPPt5cuX\n5VOtznKRHM4bw3twcBAeKaEGKccXFxdxcAanl3bxxWCsalj5NtkLJdeAY+ryZLYHq1I5rodc\nW4nPyZUWf57LvbExyWDKsR0JRxyqCoNK2muCYtYq5YRsndu0MzBZUZubm9UW2V2PsVu9xwlw\n5fB2fASu+SpbmNOuvqDSiYBzKBnP4JEu0440/BXfb7fMv00UwjtH/JZ6vR63sJCKwWDASka8\ncmtrK/Ty+vqaLiEkpMXdZHd3N8Tjw4cPeHG9tJ8ZKzfcSuJnMxgM4ph0M5lOp2HJ5kQ49klf\nrvoR56S+knJNp9MpnZpHo1GIzeHhIZX4rGax7Ecj4xA5Eh1RJsoh6MVMN9Twb+MHf3Z2xk2f\nm0J8iq+++ir0b7FYhHj8/fffUQjBLvZbW1vxDImdWX7iGZzkGAq8r6orbD9t/k7NOBUssTbJ\nutR0Oo1Tev/+PctLLAVRBZHvfdy+44QvLy9ZaIyX0f50MBjwhzFo+dyqJGTcPIy+4XCYTVoc\nwsrmzXOCqjS+lxI7sU8psccn50dRVQVEG1VegPzgsnbr7mOcu+UT/bRnPSvrLKnSBwDhxEz+\n5Gof78vXWk2Gcj+arhNbzU5uP66cqfSScWasstPOx6SnOe+bq4C0RovWqIiINI4R4Z0j8imy\ncYRVSJzBdDV8ufl8HlPUbJ2RPFIlB0ZaZnfZ/GbVU6pKv8wV/WS4VD3P8F2XyyWTZUzaiOcm\nk8lkMokjPH369NmzZ6WU+/fvR8BKNMA+wExpCewInkjSoQ0pdYSXl5fxQTY3N3d3d+OsZrNZ\nZNnQJYvodn9///PPPy+l/PDDD/Gaf/75J1JO9vf3o2vacDiMZ9bX19mKnRiCiIFh7KemnYwP\n32818ny/uSIwzm04HJK92c13iNCH/qsRRd2uauTJ7onhnU6nMRQ7OzucMDlBMSYXFxeEFww4\nISYfhKCNB/20GTKl8VxvxLLkFXOpcLakJVepHzj2t6kBLMlQORgiDIqrjvyXHHVR6kokmjMz\nS4qAe6tNsshfDUs2QvaNjQ38j+qHcJO26eD7rfJocF+WnS6gORWo2xuBUWVsswPczRGtkoNu\nUwFl3mTGxNGiEN5BQudY7cg/tvgdjsfjkAoMOrblG4/HJK1VRdm3q56fORWbW3Z+d7LbWfTi\nUKyXdG/0LChW2nN6esrG68vlMqSFveZ3dnbCgF1Le8KRpM5qJXYcbVxiBrC2thZnOx6PqRmI\nFx8eHh4fH9+sKhNiofSvv/6i93Q8GI1Gz58/L6W8fv06bp2np6dRR0HX783NzXiQe0DTLoD7\nOwYU04JuUitGZV7dYeji8+Z+BdX6FqPEHfPDasukcOdwFGmqHhfG2dkZLjrDy7eJ3OZ+1vG+\nrMyxlszNlGsm39ArZw/yGip3c5aHWXCtlvH6aVMhrk+uk09ahUgUzjPjXEkUssf3RWrraDRi\ngsUnZaCYCDKqDCanyv8iSNkj5efDiysDOU99uoUQ3SxTPjgf+Sb1cK/M0uxXZ+u1ZbRGRUSk\naYwI7xz3799//vz5L7/8QvII6/9EAwQ69DOLufzh4SH1bREoMBOnpKx8XErcXZxfrlpwMU+P\nd6FaMfaaL2lOvUxdIvGmYr5POXxUX0Uk10/bwRNjxaFmsxlJfWyZRPe1KPUbjUZsb1QVnPV6\nvXjx4eHh3t4eG9OPx+NSym+//RYJqARhi8UiPsvz589//PHHOIGICPf29uJdHj16hB1XPaAO\ncj1tiUzw0Uv9varsxzxPr1IBs5cVDzY2NiL5Zblchs98cXFReY95a1yq5snvvUnVmVxF2J58\nKSRTxJE5DmE6ASUx7nLV/yG/jNgF67isgsgcXLKZES0XCGTjryhdzWkpeQDJECHG6mZBc8Ik\niBE1VtF8jmL5fmkrSDTfWzWHo5EhP678O6q+x2oNoiTXlHwWzvb24wYCfJYq//OTm51VJ5At\nVgJKTqmbsNMmCuGd49mzZ998883p6WlkDGLi51rseCV3f3YOWi6XYR5SS8CNnj6ZIZ/k7ld3\nrrwgwRZ0LIzFYfPiSqgOaj2bzUKZ8p5t+IT4RePxOMQGF25vby/uBTTm3tnZ4SYY+tfv96NR\nNQtdmFrj8fh21V0zNOPo6Oj4+Bj/MPSv3+9Hdx7MqPl8HiPGCtDV1VWM/OvXrxHXaAieZY/F\nJIar8sRKup1VZlT5OKk9XsyhWEXjtri1tRXjzIzn9evXkeyaDbHr6+uq3gO1Ozo6qgoqcjfq\nbucgzpYql+WqdzaJu3GSlHaUj+/s1QoZ3cmRRpbKaCq7trZGf12Kf+gVfrtqCM5JZk/v9j+S\nn7n8MBuzWrNYgBPLj4v12vxiUmfjULnlAvM5RAub978kijHM80guGB5U/y0fqzuLstVEtiQB\nZgbQveS6JnabaI2KiEjTGBHeOcIy+vLLL7/77ruSIiSqlVnSz1O8cLfOzs5iJnt0dBQ7sBOH\n5VCvpJl1NR/MM0Rm2bxvzENns1kcHD+QpJWTk5NIS6FvJMFEvJLNj6KMfTqdsvlR1TWKyrwc\nrUZgNBqNOBomLfN95uZ0Fi2lRJO20WgUHunJyQmOIvkOkUVJ/eLbt2+pvYtoBpeYwclploQO\nBBY4dXmCXzWWvP3vbVdJndjd3Y1Run//fnzeJ0+exL72L1++jO8iRomWpJXJSWXhbDYLp/rq\n6opMVwx2oijONhdHxoBXbedwF8rH7fS4MEh0iuElHXqxWERGKzElW0phFdIkj35svbTNOq4D\nOUSkrfZSzzNGOw41GAwoQu2vtmqiyRyRNAFoznu6XaWGEUzHOXORE8sS/xE+duNX7BByXviJ\nVdEbXk5l22DR5/1kKsuBQeh6szFKRoRFIbyDxJ7p+/v7UWDw008/xfPcCzBLb1d1x/if6+vr\ncWvY2tp6/PhxKeXk5KTqkhxLjPw28pP5mZIMGdY/0Krg5OQk/ok80nfv3rF3fDc1rtfrhcZc\nXl7GoebzeSxi4UGV1E85bp1o23K5jBezQMitgbKN21WO62w2YxHo8PDwyZMnpZQXL17QzzoE\nGyspl4qHVJCC++DBg3gxa5Ndm4uU2vh2uqt93ftU/rB5wPM/UfMQ9RuPHj0KRXzw4EF0JDg+\nPv75559LKX/++ScOGx1S0DaWtSgwoM6EOQQTrJzNzyXHdKra4DCEMIZufX2dpUoWU5E0qjXi\nJHd2dqr53M2qIcBgMKBfDwJMV5e8eX1el81fIlYho5pTcKv6/bKSFvI5+RXkVXCGN3ubeKrk\nWncb3/BrZVW1SrrOfmZVNRHHobKI+U13abA6ONKYf4l5abBIQiG8c3z22We9Xm84HMb2eF9/\n/TUhTtwEmXczgWV6PplM4qKnPdhkMmGPOn7GJbWb4lfazaKulq/yUgqTa6b58efn5+fUEVYL\n+/GTjtePRiMaskRBxaNHj+LO3u/3uxsxchMPvScE4VZYVne3yWQSUePx8fHx8XE8Ri8/fPgQ\nb1dWVRbkxOeOJ1QRRCD4+PHj+KuDgwOWS5E9YqZqTaikNbabVd8c7mU5FYIBj3+K5nAl7Vpc\nSonQ9uDgIMZtPp/HcumTJ09iwnR6esptkcoT9iMkLmFVdWdnpypSPD8/J9DnY1bzjNlshq6Q\nMFJS4BLTIJb0+qvOedvb23HmRG+TySQWbtkgZXt7Oz4mBZRrac+KqkIxrlh+C9WkjRBtmaoV\nq0pE1mK5wolE8zN8lTedltx5fJgscmHwsv+zPFz9U/l48lQ6vcW5bKrQME8mqrB+2WnvV3kP\n3377bWkepwYiItI0JsuIiEjTKIQiItI0CqGIiDSNQigiIk2jEIqISNMohCIi0jQKoYiINI1C\nKCIiTaMQiohI0yiEIiLSNAqhiIg0jUIoIiJNoxCKiEjTKIQiItI0CqGIiDSNQigiIk2jEIqI\nSNMohCIi0jQKoYiINI1CKCIiTaMQiohI0yiEIiLSNAqhiIg0jUIoIiJNoxCKiEjTKIQiItI0\nCqGIiDSNQigiIk2jEIqISNMohCIi0jQKoYiINI1CKCIiTaMQiohI0yiEIiLSNAqhiIg0jUIo\nIiJNoxCKiEjTKIQiItI0CqGIiDSNQigiIk2jEIqISNMohCIi0jQKoYiINI1CKCIiTaMQiohI\n0yiEIiLSNAqhiIg0jUIoIiJNoxCKiEjTKIQiItI0CqGIiDSNQigiIk2jEIqISNMohCIi0jQK\noYiINI1CKCIiTaMQiohI0yiEIiLSNAqhiIg0jUIoIiJNoxCKiEjTKIQiItI0CqGIiDSNQigi\nIk2jEIqISNMohCIi0jQKoYiINI1CKCIiTaMQiohI0yiEIiLSNAqhiIg0jUIoIiJNoxCKiEjT\nKIQiItI0CqGIiDSNQigiIk2jEIqISNMohCIi0jQKoYiINI1CKCIiTaMQiohI0yiEIiLSNAqh\niIg0jUIoIiJNoxCKiEjTKIQiItI0CqGIiDSNQigiIk2jEIqISNMohCIi0jQKoYiINI1CKCIi\nTaMQiohI0yiEIiLSNAqhiIg0jUIoIiJNoxCKiEjTKIQiItI0CqGIiDSNQigiIk2jEIqISNMo\nhCIi0jQKoYiINI1CKCIiTaMQiohI0yiEIiLSNAqhiIg0jUIoIiJNoxCKiEjTKIQiItI0CqGI\niDSNQigiIk2jEIqISNMohCIi0jQKoYiINI1CKCIiTaMQiohI0yiEIiLSNAqhiIg0jUIoIiJN\noxCKiEjT/A+IpPmpPw/kYAAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=5)\n", "imageplot(clamp(x0))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Add some noise to the original image, to obtain $y=x_{0}+w$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "sigma = 0.1\n", "set.seed(1)\n", "y = x0 + randn(n,n) * sigma" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the noisy image $y$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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EqlUgyQz+fj4el0WpKHWOLS0lL6W1hYmEqlYLyTySSVaK5evYrnEQgEeO+uXbvw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\n5TzcbDajjFwuF/RaUVERMaJdXV3/+q//KknSK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VZWxujKy8u5Li0CWfV6PVe/hcre3t5GXMvLy0iyqKgIk1NSUpJMJkn8uG/fPvTp3Nwc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KCmQ4MDCAUxIIBJj61dVVUtMtLi6CtCoqKniF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\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2/vhQsXWEcylzoEbDabRYrk9mEoFMLz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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(y))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Set the regularization parameter $\\la$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "lambda = 0.2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Chambolle Dual Algorithm \n", "-------------------------\n", "We consider here the application of FB on the dual of the ROF problem, as\n", "initially proposed in:\n", "\n", "\n", "Antonin Chambolle,\n", "_An Algorithm for Total Variation Minimization and Applications_,\n", "Journal of Mathematical Imaging and Vision, 20(1-2), 2004.\n", "\n", "\n", "An earlier version of this algorithm was proposed in:\n", "\n", "\n", "B. Mercier,\n", "_Inequations Variationnelles de la Mecanique_\n", "Publications Mathematiques d'Orsay,\n", "no. 80.01. Orsay, France, Universite de Paris-XI, 1980.\n", "\n", "\n", "For a description of a more general framework, see:\n", "\n", "\n", "P. L. Combettes, Dinh Dung, and B. C. Vu,\n", "_Dualization of signal recovery problems_,\n", "Set-Valued and Variational Analysis, vol. 18, pp. 373-404,\n", "December 2010\n", "\n", "\n", "The primal problem corresponds to minimizing $E(x) = f(x)+g(A(x))$ where\n", "$$ f(x) = \\frac{1}{2}\\norm{x-y}^2\n", " \\qandq\n", " g(u) = \\la \\norm{u}_{1,2}. $$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "f = function(x){0.5 * norm(x-y)^2}\n", "g = function(x){lambda * J(x)}\n", "E = function(x){f(x) + g(x)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The dual problem corresponds to minimzing $F(u)+ G(u)$\n", "where\n", "$$ F(u) = \\frac{1}{2} \\norm{y - A^* u}^2 - \\frac{1}{2}\\norm{y}^2\n", " \\qandq\n", " G(u) = \\iota_{\\Cc}(u)\n", " \\qwhereq \\Cc = \\enscond{u}{\\norm{u}_{\\infty,2} \\leq \\la}. $$\n", "where\n", "$$ \\norm{u}_{\\infty,2} = \\umax{i,j} \\norm{u_{i,j}} $$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "F = function(u){0.5 * norm(y - As(u))^2 - 0.5 * norm(y)^2}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One can thus solves the ROF problem by computing\n", "$$ x^\\star = y - A^* u^\\star $$\n", "where\n", "$$ u^\\star \\in \\uargmin{ \\norm{u}_{1,2} \\leq \\la } \\norm{y - A^* u} $$\n", "\n", "\n", "One can compute explicitely the gradient of $F$:\n", "$$ \\nabla F(u) = A (A^* u - y). $$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "nablaF = function(u){A(As(u) - y)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The proximal operator of $ G $ is the orthogonal projection on\n", "$\\Cc$, which is obtained as\n", "$$ \\text{prox}_{\\ga G}(u)_{i,j} = \\frac{u_{i,j}}{ \\max(1,\\norm{u_{i,j}}/\\lambda) }. $$\n", "Note that it does not depends on $\\ga$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "d = function(u)\n", "{\n", " n = dim(u)[1]\n", " p = dim(u)[2]\n", "\n", " out = array(0, c(n, p, 2))\n", " \n", " for (i in 1:n)\n", " {\n", " for (j in 1:p)\n", " {\n", " out[i, j,] = norm(u[i, j,])\n", " }\n", " }\n", " return (out)\n", "}\n", "\n", "proxG = function(u){u / pmax(d(u) / lambda, 1)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The gradient step size of the FB should satisfy\n", "$$ \\ga < \\frac{2}{\\norm{A^* A}} = \\frac{1}{4}. $$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "gamma = 1./5" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialize the FB with $u=0 \\in \\RR^P$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "u = array(0, c(n, n, 2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One step of FB." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "u = proxG(u - gamma * nablaF(u))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Update the solution using\n", "$$ x^{(\\ell)} = y - A^* u. $$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "x = y - As(u)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 1__\n", "\n", "Perform Chambolle algorithm to solve the ROF problem.\n", "Monitor the primal $E$ and dual $-F$ energies." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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DcEh3oDB0pYGMEBAAhmBId6Npv06SN7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\nAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/optim_7_duality/exo1.R\")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the denoised image $x^\\star$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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H/22WdlqRm0qnSW/IVldSSwmONzYZcCjiCzl/3cuXNlv8j0/PPPl+Xzi2MRWba3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\nTo+fy2zi+PjYVUO5K5UTXcyRHzZ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