{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Wavelet Denoising" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour uses wavelets to perform non-linear\n", "image denoising.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\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", "$\\newcommand{\\al}{\\alpha}$\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": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes." ] }, { "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", "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": [ "## Image Denoising" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We consider a simple generative model of noisy images $F = f_0+W$\n", "where $f_0 \\in \\RR^N$ is a deterministic image of $N$ pixels, and\n", "$W$ is a Gaussian white noise distributed according to $\\Nn(0,\\si^2\n", "\\text{Id}_N)$, where $\\si^2$ is the variance of noise.\n", "\n", "The goal of denoising is to define an estimator $\\tilde F$ of\n", "$f_0$ that depends only on $F$, i.e. $\\tilde F = \\phi(F)$\n", "where $\\phi : \\RR^N \\rightarrow \\RR^N$ is a potentially non-linear\n", "mapping.\n", "\n", "Note that while $f_0$ is a deterministic image, both $F$ and $\\tilde F$\n", "are random variables (hence the capital letters). \n", "\n", "The goal of denoising is to reduce as much as possible the denoising\n", "error given some prior knowledge on the (unknown) image $f_0$.\n", "A mathematical way to measure this error is to bound the \n", "quadratic risk $\\EE_w(\\norm{\\tilde F - f_0}^2)$, where the expectation is computed\n", "with respect to the distribution of the noise $W$.\n", "\n", "Image loading and adding Gaussian Noise\n", "For real life applications, one does not have access to the underlying\n", "image $f_0$. In this tour, we however assume that $f_0$ is known, and\n", "$f = f_0 + w\\in \\RR^N$ is generated using a single realization of the noise $w$\n", "that is drawn from $W$. We define the estimated deterministic image as \n", "$\\tilde f = \\phi(f)$ which is a realization of the random vector\n", "$\\tilde F$.\n", "\n", "\n", "First we load an image $f_0 \\in \\RR^N$ where $N=n \\times n$ is the number of pixels, and then display it." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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htjz2JXwsUQFonU0dFRxB/QBCE/9jwhM6lcg4N4NmCEPvfcc0tLSzabDQ5qtVp+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\nrkJggg==", "text/plain": [ "Plot with title \"Original image\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n <- 256\n", "name <- 'nt_toolbox/data/flowers.png'\n", "f0 <- load_image(name, n)\n", "imageplot(f0, 'Original image')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Standard deviation $\\si$ of the noise." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "sigma <- 0.08" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Then we add Gaussian noise $w$ to obtain $f=f_0+w$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "f <- f0 + sigma*as.cimg(rnorm(n**2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the noisy image. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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0IoEonQ6XS/3x+JRNrb28PhMEEQMpkM+iCRSPx+/6FDh0Qi0ZkzZ0QikdvtjkQi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eb2JiYnR09MmTJ2KxuN1ukySJbW+n00FI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\n9FShULjdbux8sYUAczQSicBLCxahSCSy2Wynp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qfoGpA/bzaboaq7c+cO7OjIZ0AOND7Yd+/eBZtkZWXl/fffr9VqGMCx2WzkcxMEIZVK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\nC79HHDyxsYtgdwR/5vN5BBF++eWXJycnpVI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"text/plain": [ "Plot with title \"Noisy, SNR= 13.7507136803239\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(f), paste('Noisy, SNR=', snr(f0,f)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Hard Thresholding in Wavelet Bases" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "A simple but efficient non-linear denoising estimator is obtained by\n", "thresholding the coefficients of $f$ in a well chosen orthogonal basis\n", "$\\Bb = \\{\\psi_m\\}_m$ of $\\RR^N$.\n", "\n", "In the following, we will focuss on a wavelet basis, which is efficient\n", "to denoise piecewise regular images.\n", "\n", "The hard thresholding operator with threshold $T \\geq 0$ applied to\n", "some image $f$ is defined as\n", "$$S_T^0(f) = \\sum_{\\abs{\\dotp{f}{\\psi_m}}>T} \\dotp{f}{\\psi_m} \\psi_m\n", " = \\sum_m s_T^0(\\dotp{f}{\\psi_m}) \\psi_m$$\n", "where the hard thresholding operator is\n", "$$\n", " s_T^0(\\alpha) = \\choice{\n", " \\alpha \\qifq \\abs{\\al}>T, \\\\\n", " 0 \\quad\\text{otherwise}.\n", " }\n", "$$\n", "\n", "\n", "The denoising estimator is then defined as\n", "$$\\tilde f = S_T^0(f).$$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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U9PNzY2trGxGTp0qCJD/mn69OkGBgb18ERQD1DQADXiu3tkZGQQkaenZ9OmTa2s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\nDQDAKBQ0AACjUNAAAIx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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\n", "thresh_hard <- function(u,t) { return(u*(abs(u)>t)) }\n", "alpha <- seq(-3,3, length=1000)\n", "plot(alpha, sapply(alpha, thresh_hard, t=1), 'l')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Parameters for the orthogonal wavelet transform." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "h <- c(0, .482962913145, .836516303738, .224143868042, -.129409522551)\n", "h <- h/norm(h)\n", "Jmin <- 2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "First we compute the wavelet coefficients $a$ \n", "of the noisy image $f$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "a <- perform_wavortho_transf(f,Jmin,+1,h)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the noisy coefficients." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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fZ4PB6PR6FQxGIxmUy2s7NTq9VQJX/w4EGhUEAPUCaTob+q1+vv3LlzeHjYbDZd\nLtcrr7wCUV2/3y+VSnjz9/f3s9lsOp0eDAaRSASSQaVSmc1mcUPq9XpQjCDLfueddxwOx/Ly\nMmruKPHX63WFQnHv3r29vT2IW5xOZ6FQSKVSKpUKQ5K4hxFChsMhbhKYIVSpVE6nczQavfTS\nS4eHh9BE2mw2nU6HJN1sNpvNZqPRmEqllpaWcEqgMjtAA/Q4EgwGNzc3v/rVr+7v70PbRAjZ\n39+PRqNLS0ssy96+fXtlZQUButfr3blzx2Aw5PN5i8UyMzODsWx0q/r9fqFQwEUCE4x2u40r\nSqPRGI1GlUqVyWQmJycxKq3VaiGDm5ycrFarGo0mk8koFAqHw/Hee+9JJJL5+Xl0zNAcw+Wt\nUChUKpXL5ULzHX9LqVTiYCsSiZ48ebKystLpdBwOR6vV0mq1UCnI5XIMEyP9x7EdygpEXrPZ\nnMlkMLWM+Q6NRsOy7OzsbLVaRVaOjNjhcCwtLanVaoxjQNt7dHRUr9dNJhNCHlRlEGzAQWJ1\ndRV65FKpBL8Is9lMCMlmsxgewdtFCDEYDNFo1O/3b2xsLCwsoIGWzWZ/9KMfIUDH4/GZmRnM\nlA+HQ51OJwjCmTNnTlqpEokkEAgwDIORd5wbvF7vxMTE5OTk3t7e+vr6+vq6TCbT6XTHx8cv\nvPBCpVJRKBShUAgywUAggDagx+Pp9XrLy8ssyxoMBpRKnjx5MhqNVlZW0DSGlO3s2bNOpxPe\nIG63G4KQmZmZyclJQgi05Ha7fWZmBndrzILjnDE7O+t2u1utFrTnwWCQYRiPxwPJXTKZNBgM\np06dGgwGh4eH2WyWZVmIfJxOZ7FYHAwGKysr165dSyaTjUYDjUqtVlutVuv1ervdlkgku7u7\nkJ9rNJqZmRkoIJl/8wOEJ9AAPY5cv379jTfe+Pa3v63VatfW1mZmZgghGA0Ih8Mcxz3//PMY\nbCOEmEymbDYLLwW1Wu1yuQqFgiAIRqNxf38/GAye1HN3dnagkkZtodfrKRSKeDz+wgsvxONx\nhmGgKJDJZEajEcK74XAYj8dNJlMoFPrlX/5l+DaYzWa1Wg0BsvRjIG6FQU+320WOj2SQ5/lC\noSCTyZ566ql4PH6ikM3lcslkUiaTTU5OajQai8Wi1WohwDhp4sMq5Pj4WBAEg8FgNBpP8kGU\nSjH9aDKZIpFINBpdWFiAQiOXyykUim63KwgCkmKUVur1OiEERU+xWKxQKHa/+NUAACAASURB\nVA4ODmw2m0qlOnfuXLvdhhCFYZhgMNjv9yUSCYYDUd+vVqtms3lra8tisVy9ejUYDA4GA6fT\nubOzMxwOeZ6/fft2q9XCRxMMBvf29jqdDlw4otEox3EQMjMMw/M8CvHdbvf4+NhgMMzNzc3N\nzR0dHd27d08ul7fbbYVC0e/3b9++jVGUjY0NvAoUcLa2tprNZqvVmp+fr9VqZ86cSaVS8Xic\nZdlqtQp9oU6n6/V6i4uLnU4nGo2+//77sL/Y3d11u917e3smkymRSEA8jrFSnU7n8XhwUzw6\nOrJaregWVCoV6G20Wi3uRgaDASEVwsfHjx9D5ri/v4+b7jvvvLOxscHzfLPZRBNCqVQGg0Hc\nCWw2G7Q9GFyEPiSfzzscDiTjFBqgxxGe57/2ta/Z7XYMXLz//vuEEIPB8OlPf/rx48czMzPN\nZrNWq01PTxNC7t27t7S0tLe353Q6ofRKJBK7u7snFWcUGePx+OnTpzEygNEvtPtcLtfOzs7R\n0ZFWq202mwzDxGIxk8mECgNaRr1e77333vv85z9PCDk8PETxF0ZrUA3DoAe+GYQQDENDg8zz\n/C/8wi+89NJL8Xi83W7r9XqdTnf27NlIJHLq1Knz58+rVKof/ehHhJDZ2dm9vT1URXU6HWzb\nbt++PTk5ORwOPR5PsViMRCKtVgvjiKlUCoZNBoNhNBo9++yzN2/ehAIaM40KhQLHZwwZHxwc\nKJVKODeh8ttqtVC9Qb8uGo1KJJJut4tXlM/nMf24tbWF8/7NmzetViuKJCKRqFQqZTKZ8+fP\nl8vlmZkZ/EabzYbyKzTaZrMZ9W6xWIxahyAIzWYzlUpxHDc3N5dKpTY3N2dmZjAXSghBsbhQ\nKNy6dQtTM08//bTdbt/Y2MAMS6VSqdfrJ0MrNpvt8PCw3++Xy2W0/prN5sHBAQpZjx8/Rvuu\nWq1OTEzAFW84HC4tLSUSCa/X63A40ICt1+tWqxX6wmazicFOdP9QPU8mk8FgsFQq4eMOhUKN\nRgPHu1KphAqSSqWq1+sWi8XpdEJbifl1QRBcLle323W73Y8ePep0OslkslqtovHA8zy+LVCm\nV6vVSqXyiVx64wYN0OPICxMTszxvSSSMR0e/HAxqKxVCCJNMitfX5zudyP/4H65c7lmW3X/j\nDULIKau18d574VZLubMzUa2Shw9neX6m3WYPD125HHt4ONVstm7dmuY4RybTFwSpSIRL1+/3\n9/t91KlnZmZEIhHLsoeHhzabbWlpiXwsN56dnR2NRrCds9lsx8fH5OPGI/JxQshwOMSsGtLP\narV6Yrl56tQpVGx5nkcQPzg4IIQolUpIL3ieX15ePjg4kMvlly5dwlBMq9VqNpvNZnNychJz\nz2azGfVQr9ebTqdxVet0OoSSer2eTqdPnz6t0+kwtE0IUalUDMMgu8e0G4rjMMCDShrmGMlk\nEt08DLITQtRqdSqVqlQqZ86cweDy2bNnMc2B0Q/UTzHGiYq2VCpdW1vDkGEkEoHzxrvvviuT\nyba3t+/du1coFOC/oVarkTBieBp9M2ioB4NBt9sNBAITExOnTp2q1+voLhJCms3m6dOnEQQx\nwFKv11dXV3/2s5/J5XKn05nJZHw+XzablUgkc3Nzg8EAAgnM6Hc6nf39/Wq1OhgMYrEYTjDH\nx8f4HB8/fozuHHL8RCIBMU+1WsVBB6PhxWLRbDaXy2XMEG1ubvr9fplMZjKZ+v2+1+vVaDRy\nudzlcqFd6XQ6z507FwgENBoNz/OY9kYHFS6jUAEFg8GdnR2Px4PJz52dHb1e/8lce2MG1UGP\nGY8eEUKM3/gGIeTTH//ZEiGEkFPf+x753vcIIYv/+9/w/vjH3h//mBAyQQgh5PT/3W+wViqC\nIHAch1aVwWCAkwYcmcVi8dNPPw1DoitXrhwcHMBj0+l03rlz57Of/azX68WQmEQigdYNcbPR\naNTrdatUSgjBpchxXKfTsVgsW1tbKpUKxpgmkwl2mnq9/mRSTiqVHhwcrK+v+/3+w8NDVDkg\nCLl8+fKtW7c+97nPRaPRwWBQrVanp6e3trZQNEilUiaTSalUYprOYDCgsnx4eAgtl0wmw1AJ\nVIaDwcDhcJRKpcFgkM1mYfQDEQJc2Vqt1jTDEEIYhpmdnU2lUvl8Xq/Xezyex48fBwKBy5cv\nx+Nxl8u1tbUlFoufe+65b33rW88//zykI9PT0+hGTk5Oomrv8/nEYvGlS5cymQzDMOl0GjXu\nUqlULpdNJpPL5VKpVCho4FxvsVgEQfB4PMjiUUfqdrvNZpNl2f39/S9+8Ys3btw4d+7c+++/\nb7PZXnrppbfeemtxcXFpaWljYyMcDmOyRhCEQCAQDAYfPHiAQ8apU6disVg6nUalCPMysEOp\nVqs4FqB4NT093Wq1XC4Xpk8xK+RyuVCWYRjmyZMnrVYLw6hPPfXU+++/Pzs7OxgM7t+/X6lU\nNjY2/H4/lI74+cFgEI1GPR5Ps9nsdrscx1mtVnz0uKnjKAYFZCgUMh4f/z+9lP5/AQ3QY0Y4\nTAh5cvGiZXUVORrGZA8PDwkhqA/W63V0gcpbW4G33sqfOrVuMOBE2e/3e72e2+1+8uQJvIlh\nhySRSCqVytzcHPtf/ktdrS4Wi6FQCAGiWq3C14IQYjAYfD7fnTt3Zmdnl5eXf/zjH3u93rW1\nNZ7nV1ZWGo3GjRs3zGYzRnXhdwzPflizn7R35HJ5rdeDpxIydJPJJBKJ7t+//9xzzymVykaj\n0ev14F6PBpTb7TYYDEgqDQZDLpfD6d7r9cbj8W636/V69/f39Xq9VCpFjxHxBd1FeEEMh0O/\n3w+xINTfMJLv9XrVatVms6EfqFAoEonE/v7+tWvXEPv0ej3UYKurq6WNDUIITKOazSYkByqV\nanNz02KxoFcJm6FMJpNIJCBDhpcQ8kSj0RiLxRiGsVqtcrlco9HEYrGFhYWdnR2DwYAhOhTQ\nP/zww6WlpUql4vf78VcIIYIgZLNZDDqm02m5XC4IQigUevToEZqxd+7cwRSoWCy+e/fu6dOn\nl5aW0ACAsg23HNyDa7Uajg4zMzOxWMzhcAyHw16v53K5UDiORCIn4kJCyO7u7osvvri/v3+y\njWFra2t1dTUSiUxPT4tEolarBfcV2MLE4/EnT55Ak6NSqYrFYjgcVqvV2Ww2k8ksLi4istvt\n9u9973upVIplWblcjt4yPhTUlKamplKp1KVLl65fvy6Xy2dY9pO5AMcMGqDHDLWaEBL+oz/a\n0umy2SzHcQzD7MpkP00kCCGrq6t2u73ZbMIA3jU5Sd56qzo//8xf//XNmzdjsZhWq5XL5e9l\ns9d3d7/02c+2Wi2EeLPZfPfu3cT09C/JZIxONz093Wg0MNMhCEI6nZ6dnYVvA5JiiCtgN7G9\nve3z+XK5HAoUsJxHrRCuHfAMarVaGL8mhKAnCa30cDhEG9Nut3/xi1+MRqNQyyK9QpEEWjoU\nT3Z2dn7zN3/zjTfeuHLlCiEEYa7X6yUSiXa77XA4YFcEfZhMJnO5XPv7+5iTZlm2VCrV6/WX\nXnoplUqhsowTAKZyCCH9fh+2SpDoCYKAZ+52u6EvnrDb8WMwO9ZoNDgl1Ot1aCcUCoXL5drb\n28Pb6/f7MYMuCEIymXS73TjswydvaWkJ5vRbW1sYN6/VapVKpdPp+P3+bDYLcWEul0N0I4RM\nTEzIZLJgMJjNZgkhqH7cu3cPdflWq4V4nc1mzWbzaDSKxWKCIBwfH09MTBBCoGr3er0SieTo\n6Agq4263u7a2Bn99iUQCiR6cj7xebzKZtNlsrVYrm80uLi6+/fbbEDVDzgyXUezxOTg4wH0U\nHrDHx8fLy8uDweDhw4fD4XAwGExPT8diMSgg7XY7ThVHR0eHh4fwwi0Wi/ja9Ho93PxgUXt8\nfKzT6a5fv86ybLvdvnv/vu8TuQDHDFqDHkcePnx45syZP/mTPzl37hzOgK+++uqrr76q1+vR\nroHTDTRtw+HwT//0TxHXfvKTn0xOTmq12q9+9asul8vn89VqtdXV1Wq1KpfLt7a2CCH9ft/h\ncMCRDnoPWGhiWsHpdEJmG4/H0WPU6XQ6nQ4BV61WQwQCV0kY0cGAX61WY4sSIeSki4i+mUQi\ngUfS7u4uFl+hEYTqKtzRgsEgXJ+cTmcqlbJarT/84Q9/+MMfhsNhOBmJxWKz2Qw5x+LiIooA\n9+7dO3/+PJTUVqsVwhL0JzFQ1+v1MAvD83wsFkM6j9AJwz/4U3e7XdwAYJZNCIEXM7LCzc3N\ng4MDh8NxYpbdbDZNJlOhUIB8W6FQCIKAsznsQ+PxeKPRsFqtyBkZhikWi6ixLCwsIG2/efOm\nz+fjOK5er49Go1KphGB6sqIMTTODwYChlUQikc1mlUplKBRaWFhA0YNhmEgksri4CI1EPp+v\nVquCIKBWvrKyQgiBdZ9MJoNIcXp6OpvNQvzeaDSwrkEul/v9/kKhgBTY5/MhzVcqlSqV6s03\n34QOBytXkPVjxmRtbS0ajWKuRK/XHx4eIh8/PDzEeQhjU1B54kCgVqstFku1WkULEZ+X1WqF\nKQq8qqmbHaABehwpl8vr6+t///d//zd/8ze3bt3qdrvJZBJOkjhaXrly5cTKGR0qg8HwjW98\nA8KvUqlUqVSePHmyvr4eDAa//vWvm0ymq1evTk5OYlYCQmCGYcxms8ViwdZBHM91Oh0MbvR6\nPcbe4MKDwVwsx4Oe+mQmRSqVIg3sdDq4rtrtdjgcRo2iXq9HIpHLly9DriuRSGq1miAIPp8P\nl+hoNKrVavF4HLl8oVDY3t42Go0rKysrKys3b95cWlrCEA1kWLVaDU7z7XZ7amoKpmvXr1+X\nSqWopDMME41GIfDA6QGOzzabzW63m0wmqVSKsel6vX6yXk+lUgWDQUII3lWxWDw9Pc2ybDqd\nPnv2rNVqPXfuHPqByWTy5z//udFoPHPmDIrdzWYTZm+FQqHf76+vryN6rq+vw5oOEkaTyWQ0\nGuPx+HA4PHfu3NWrV2GkVyqVCoWCz+dTfAxWHMhkMvgFopiAhNdmsxUKBXxJ5ubmlEplIBDY\n29szm81KpVKr1drt9pNb1PHxMe6+29vbU1NTjUbD5XLFYjHcGHCKMpvNmA6VSCTBYFAqlaKA\nA1EgBpcwSIJqSbVaffDgweLiImYRFxcX5XL5zMxMKpXCNCAsRk+fPg0/LMwrdbvd5557LhwO\nn9gl4lfg64ehfCTpMH7CUYxCA/Q4gpUTBwcHq6urzz777Pb2Nvr7k5OTkUgEiSdmtwghHMed\nPn1aqVRevXqVZdnvfOc7Xq/3/PnzwWDw0qVLd+/e/cpXvoKSH0oKKK3CzL7T6SAXxoZQrVa7\nvr4+PT1dLpfRQCMfb2JVq9WwA0X+CF9j2FzA5hij21Aci0QidBchQkDRGWdbGHjid6EWiWu1\n2+3abDaZTIaM++zZs3Cvh0XnaDRKp9MqlQq2/alUCurmXq9XKpVefPFF5PsajSYYDOKvwEga\nhp+tVksul9dqNTi9YYQHiaogCHhu7Xa7VquhwoN3FQUfjUZz+/btdDodiUScTicO4E6nE21M\nt9uNkjfMrOfm5jDhYrPZnE4n8labzYasEPVr2ATeu3cvkUjg5hQMBkOhULPZ3Nzc3NzchHqv\nVqshjI5Go/39/UqlgroWStWNRmN2dvajjz5Kp9Mul+u5556bm5vDBBA6oui8wdnD7/cvLCxA\n3RGLxaRSqd1uR/8zn8/jltDr9SCvhMxxb28PpwGTyTQxMXES1hFMYV2dyWQgncY+B5Zl19fX\nbTbb/Pz81taWVCrFFgI8W0EQPvjgAxy2GIaB8ezy8nIikcB3G+/SlStXjo6OstksJtQpNECP\nIwzDwPgcQ94XL16EU/DW1hbKrCcFUEIIlnDLZLJ0Oo3qpFQq/eCDD1AN+I3f+I3Hjx83m02O\n45CnSKVS1C5RnsbMoVQqhU4OxuoOh0MikeDke2KLgZqyVCrN5/OEEMRWnPQhmVpdXUVcwE6W\nRqMBpcfMzIxKpdrZ2ZmcnGw0GqhxI5QLggBD4ZOUNhAIYLYYxkPFYhHHcKvVitHh1dVV5MWY\n4+A47lvf+tbnPvc5JGsHBwdwTRKLxZVKBXsDXC4Xx3F2ux1/rtVqEbhdLlen0zEYDCaTCZtn\nIR8khMAMutVqYZst5sWj0SicVJEGvvPOOy6Xy2KxwFuK4ziNRlMulyFQK5fLu7u7JpMJBX3M\n4ut0Ohhs4q7WaDRGo1Gz2XznnXcajQaqSWq12uFwIPX2eDzoBDAMAwmd0WjEdlc8JXxe3//+\n93G7Yln2ww8/hJuoUqk0Go1ra2v37t07mUApFAoikQg7ZWZmZlwuF275arX64cOHGHd6+eWX\nT7TPsVgsFouVy2VYm87OzprN5kqlYjabrVarxWJptVoojpvNZixKl0gkT548KZVKly9fxvIq\nOKUUi0WMHaVSKbVabTabb9++jUidy+Xee++9aDR6fHy8uLgI56xP8AIcH2iAHkfwXUdzyWKx\nmM1mJDuQzU5NTeECRg263++nUimJRHLt2rWpqalqtQqRr9lsjkQir7/+OkRgHMed7KOqVCo3\nbtzweDwQ1eKfEDzAi3liYmJ3d5dhGMy54NCNDn42m52fnxcEAW7OjUZDJBIhob579y50CBin\nJoTAVh8jLXa7HVucEVPg4KHRaBwOBzYBwtcYebff779w4cKFCxeGwyHKu/AbstvtUDrDnadQ\nKITD4d3d3cXFRTjs9Pv91dVVjuNOdmNj0BHua9ixVK/XdTqdQqHY2NhAkxM6aDw3LKtFwxCu\nTz6fD/MvmCw3Go0mk6nZbHo8nlu3bg2Hw7m5Ob1eLwgCFoDt7OwUCgWlUvmlL30pn89Ho9F0\nOg2nITjesSxbLBZxp5TJZIVCYWlpCbPXhBB4gFitVnhqYwy60+nMzs6Gw+Fut/vpT38au73h\nyYdOIMyqILXGoQe/+sKFCwsLCzDR397eNhgM8Xg8kUhgSSDWe0ul0lKpNDMzk8/nNRrN/fv3\nYWmNevHs7OzFixcXFhYqlQqWil2+fHlzc3N/fx+fGjyjG42GWCyWSCTr6+s+n8/tdmcyGZFI\nND8/PzExgZ0MJpMJLQSVSoWdk5qPwbZ1Qsj+/v7U1BRGMSk0QI8j/X5/YWFhfn6+1Wphxx1M\nzTmOw9aoQqEAaQEhRCaTPfvss5ubm3fu3Hnw4EEoFProo4+i0WgoFPL5fBcvXsxkMvBCazQa\nmDD2eDw4QqIcfDK7hdG7fr+/vb29uLiIeRYs3ej3+2imIUyjqnuicuV5HjJe7HZCORiFGolE\nIhaLi8Vip9OBZRrP8w8fPoS1Zj6fl0gkPp+v2+2iyIBoHo1GE4lEIpEghKhUKsz+YTMIIin8\nQBQKhc/ng6NIo9HQarXdbvfWrVsqlSqXy7lcLoig4bKPsRSFQmE0GlHitNvtg8Gg3W5jRAKv\nFxVeDJLAGrTZbM7OzmICpd/v22w2rEHJ5/Nnz55FkxDtAalUigas1WrF08ZGV/gcQUzicrlQ\nPIGOQiaTXbt2DfkyzjTRaFSj0ej1euwuwdsC985UKqXX69fW1pLJ5MHBAaxcxWIxtD2rq6sm\nkymTyTQajTNnzuA1YixTJpNduXLFaDSWSiW73Y6SVL/fd7vdWO0KISDagOvr65OTkyfrcnq9\nHurRXq8X/qv9fn9ubq7ZbDYaDbPZXKvVyuUyym6lUsnn8/l8Pp1OVyqV4KWFD3FpaSmZTPb7\n/TfffBN2SBKJBIOLkFrjS1WpVNbX1+EzQ6EBehzZ2tr6vd/7vd/+7d/udrsWiwXTuoIgTE5O\n9nq9vb09nufRUyKEiESijz76CBHk4sWLsVjMYDAsLi7u7e3VajWsgoXYAM1AkUgEX8pyuezx\neJAIo4Fms9kqlYrBYDiZXDAYDNiSNRqNcrlcrVYzGAxwR8J+EEQfLHjGSlZCCEbv4HOGrH80\nGsGiE8uQPv/5z6OPh3llKLIhsSKEwEUTGRZmGbB5r9PpqNXqjz76CC7DMLpcX19vNBq7u7sI\n308//bROp8ODDIdDWBWjcAHJ3cnWRFRsIFSwWCyBQACTeKi9wP96f38fB45MJgMRIZ4JLJme\neuqphw8fBgIBVKKSySTG2VGEyWaziHHPPfec0+mEycn29jbLsnfv3g0Gg0ioMTh3fHzcarUe\nP378+PHjqakphmHef//9UqnUbDZR3He5XLBA2d/fh7IiEAjUarVoNEoIQXyUy+UwxtrZ2anX\n63AvwruHmzqEPdALQh+ytbW1u7s7PT1ts9kYhqlUKslkEgUcbHRE/QGGIahff/TRRwcHB/V6\nfX5+HiX7YDC4tLRks9ngjcVxXDKZLBaLa2trMpkMZlUosPh8PpFIdO7cufX19Xg8jkaI0+l0\nOp1PnjyBmTW8DB89evSJXX7jBA3Q48grr7zyZ3/2Z3/xF38BAzaWZbvdbrfbPTw8FIvFBoNh\nZmZmY2MDKRKcoPP5PJYEmkwm7CFEw73T6aC2q1KpFhYWsDE2mUyiFwStFRpfxWKxVqth6RQ2\nrsJID7knEthQKIQtTRgDy2azEIThaZfLZdSgpVKpIAhqtRoThthneP78ecxcwJfy4cOHUBGg\nAA2hFcMwMzMzx8fH6PhBY4AqislkwtEbTbZms9nv9y9cuIADPtYsIQvW6XSDwQBabJSGeJ6H\nSwnCLgxX8ZYSQkajUSaTKZfLgiDs7OzgNoYy+tzcnMVigbIQ1tgIr8vLy7jhnUyHMwyDQJPP\n5+H/h4FAjuN++MMfogcI86lut3v27NmjoyMcGuLxuF6v93q9169fv3Tp0qVLl+bn57Hxa2Ji\nIhgMKpVKuGTI5fJ4PO71erHcdjgc/sqv/Mrx8THcmXmer9frb7/9dq/Xu3bt2mAwcLlcbrfb\narUitWdZFvprbOyFdz4mcWAfSgjB902hUBgMBkhWsB/LYDBAOo3U+9y5c9hcfunSpfv37x8f\nH1cqlUKhgOke3HVGo9Fv/dZvwYQ2FotFIpF2uw0lUj6fZ1n2F3/xF7vd7nA4xD0ALWvY8vE8\n/6lPfeqTuvrGChqgx5GHDx++/vrra2trpVIpEonA68fpdLpcruFw+Ku/+qt37twhhOAwPjc3\nl0wmsQkFIem11147OjrCKg1saG42m4IgPHr0CENlqCTgz51OZywWg63aSU5tt9vVajVG0VAz\nxXAKrH7r9Xo+n4eHXLvdNhgMyDpxyCWEoL+HiGkymSqVSrfbzWazuVwOaZogCOfPn9/b25PL\n5f1+v1qt4ofFYrFard7a2ur3+3fv3r179y5sj3q9HmoF6XQaquoTXTbP88888wzP85OTk2hg\nsiyL6gQ2reDHYP4gCALKCCzL4raE0fDj42M40KMcTwgRiUTwqYD9NIyYUVm6cuUK5HHFYvGF\nF17Y3d2FGgT7DEej0ezsrFqthvC51Wp5vd6joyOUX8VicTqdhqqPYRgE1tFolEqlXn755Uaj\n0Wg0otEoBnDEYvHBwQHUdbVaLZVKOZ1Om83W7/fhbgGnUKlUWqvVsETm85//vMPhaDQabrdb\noVA8evRoe3t7f38fzlAwPILwGd08qVR6/vz5ra0thUJRKBQymQzuxzgT1Ot1tFVzuRyU5riD\nPnnyRC6Xx2Kxe/fuobbjcrmMRuP09LTRaMTGQvg6YUYU5rH7+/sYtX/mmWcwmu9yuU4km089\n9ZRer0cpHzLQT/IKHBtogB5HGIb51Kc+pdFoSqUSWlLIBFGm/Pa3v33hwgVstieE1Ov1F154\nIZVKpVKpYDCo0Wh+//d//9KlSxgKP3XqVDKZrNfr4XAYERCD3ah+oqSLrdUoUxSLRchyNRoN\n9G2QSen1eoZhsAca9Q3oOkQiEYrCsCc9KS+cKOQIIYh6ENhevXoVPsgomxgMBq/X2263kSzX\najUkyB6Px+/3+/1+h8MBY2UcHY6OjvL5fLFYRO2iVCopFAq73f6P//iPfr+fZdlIJALdHqbA\ncXRoNBooUEAEjc5huVxGN7XVak1NTWG2zeVyYTEKBgix8QTW/hAeQPf2+PFjFNm9Xm+1Wp2b\nmyOE6PV6yDN2d3fz+bxOp3O5XDqdTqlU2u126KM9Hk+324W/HVaMBwIBlmWDwWCj0fjud7/7\n3e9+1+VyZbPZVCqFtQk4r8CduVKpaDQap9O5t7cXjUbhgoTZSIg6FhcXkavCFAmJs8ViwWjJ\nYDCYmprSarUajabf74dCocnJyRs3bjgcjnw+r1KpQqEQpuFxaPB4PHiSKO7Dd8lmsz1+/Jjj\nuJWVFY1Gg68TvK54nof1EpT4cHRBSc3r9U5OTmJPTaFQgMUgvqKocTUaDfR4V1ZW7Hb79evX\nP8krcGygAXocCYVCmLn48pe/vLKy4vF43nrrrbfeegv9OmRkCoXi7t275ONJwrm5uYWFhUaj\ncfPmzX/+539Ganbt2rW1tbUvfOELPp/vZz/7GS5mHMxPdoscHBwsLCwMh8NEIiGRSNCcOdnk\njcdHuw8XLabDYe7DcRx6lZhUhtiOEAIfCbvdjhDv9XpxNF5cXESLXyKRoIqK7UdqtRrtR5fL\nhRS4Vqshyvf7/Xg8jmm6bDYLw0xMJzMMAydVnMSRdh0cHOAoYLFYIFmTSqXYeRgIBCqVCs/z\nKMtotVrUOlQqFQzqMpkMjguEkEwmo1arUSjI5/O9Xu/w8PD4+BgjziaTCZPQN27ceOaZZ/7u\n7/4un8/jsL++vi6RSBYWFhwORy6Xc7vdiJjxeHxhYWFra4vjOPiH5HI5k8n07rvvjkajjY0N\no9H48ssvv/zyy+jRsSyLoi3uc3q9XiaTYSM4ZtbFYvGTJ0/wNAaDQT6fx1g5jEyR9up0Ojil\nwK8Kao1EIoHKO0rzOEyIxeJ8Pg8Pk0wmY7fb0bvDNu5MJoOEoFQqbWxsvPTSS+l0Gi4uhJB+\nvz87Owuv7U6nc3R0JAiCzWZDlRkKjW63i+Uy2AXe7/dzudy9e/c0D/0n4gAAIABJREFUGs3s\n7Ozs7Cy2zwiC8PDhQ7/fjxlICg3Q48i77747NTWFPOKv/uqvstnsa6+99tprr3Ech9WfzWYz\nmUy+8MILhJBut/vNb34T/+vx48der/fKlSvvvfeeVqt95513bDbb22+/DacbXOQ8z0PyvLCw\nUKvVHA7HkydPoCxGuoeeIc7+jUZDLpdj9A6VVvTikBahdmyz2TQaDcrWJ8oBlmWxN08mk2Uy\nGXQUM5kMHO4xDYzIjlYhLCjv3r0LAx1UrjFUgnGJ6enpRCKBiuq5c+d0Op1YLOY4Lh6Pezwe\nl8vVbreDweDExARM7E4WtWAwEiUUTEI2Gg2sj4FwGEXPZrNpNBrRZCOE4AChVCph2+ZyuZaX\nl5vNJrYN3L9/v1arPXnyBIMhUMIhymAyJRqN3r59WyQSRSIRnP3hpvTUU09BcwZdNm51EOcg\n22VZ1uv17u7uajQa+CZjPvPg4KBSqbAse/36dVhn4LaE8W6xWJzNZrPZLDYYQH0cDodhLIXK\nMswFh8Oh2+3GEq/hcLi+vt7r9TB6gyoNbt73798nHw9VYmMszk9PPfXUzMwMhDH47mFqaW1t\nLZVK2e32eDyuVCqxpw2mUeVyGacTlJtsNptEIjk8PAwEAvDYi0QikUgEwvxwOGw0GlEK+ySv\nwLGBBuhx5Ctf+cqf//mf379/f3Z29td+7dcSicQPfvCDH/zgB06nE/VHn8+HYTBCSKFYPD4+\nPnPmzIMHD+bn510uF9TT2AlSq9XUarXT6dTpdIeHh5h6QHR7+PChw+FAfCSEQLlcLBZxrWKp\nIKIzPCtOdnJjCyqGg5FDYVphcnIS8wXFYhGeltAGQLzV6XQUCgV2UKFygrkMVBJgCYSMG3m6\nWq2GWRohpN1u3759GzqwdDptsVigQsNixnQ6jZvK7du30ZlEBQZqEzhRDIfDo6Mjg8EATQsO\n8larled57M3Dm+ByuRCVsP0LN6Fnnnmm2+0+evSI47jt7e1IJCKRSGZmZgKBgNvtfvfdd81m\ncyAQgD0QFkLCnFoul+Mlo2QPVSJm5bFoBh1dmEej6lIul2OxGLJ4rJKKx+NWq3VlZQWdBoyZ\nyGQyjICieiORSEKhEDy4seehXq8fHR0Vi0W0K0OhEDaEoc4L34/t7e3Z2dlEIhEOh4+Pj8Ph\nMG7Jdrvd7XYbjUaNRoPxaxyVHA4Hng8mTQRBgMhSEITTp097vV5UqE6dOlUqlbxeL7aRYTIQ\nNrPNZjOfz+MEAG14LBYLBAKBQAAT6pVKxel0Hh4eYp6TQt3sxoxolBBCXnjhD+FK/Id/SAiZ\n+3j/E3x1sSoFIXIgFl998ED06qudTue3Pv6Z0WgUEomgP70kEsE04/+wMeJ5yePHX/qd3zkx\nkySEoAOGnycfz3afpDD4F/zkv/x3PAGECQRchmFEvR4hRNNuS02mnZ2dpaUl2LxhZLHT6WAN\nNsYQUCnOZrPBYBDGpOFwGA20c+fO3bt3jxBSKpWuXbt2eHio1+utVis6cqPRaHd3F+IEhUJx\n8+bNc+fObW5uYlIcZQro6iDFhTobK6gLhYLFYoFSrdFoYGkTniEhBC0yQoher881Gn6/P5FI\n5HK5crmMFX8GgwHrSx48eMCy7NraGpadt1qtmZkZFBBgBXd8fOzxeOB1JQgCupRYU+vz+WZm\nZnq9XrPZtNvtHMcdHBwEAgFIKeAel0wmcQtUq9XQgxsMBuwE+MIXvoBhd7/fH4/H4aCv0Wga\njUYoFIIp1eXLlx8/fszzPBbFGo1Gh8OBLeMymSwWi83OzmIGEko47Du32+1Ys6JWq7G1By5X\nbrc7l8splUqe57FZGHFZJpOtrq42Gg2VSmU0GtHeTKfTWBgvl8s9Hs9J7xR5cSaTMRqNlUrl\n8uXL2I+D0c29vT28BFjp5re3/9+90P4/Ag3QY4ZCQQjh3O62TAYnh263C9cIQgjiIBblqVSq\nbr9fbjYJITCqHw6HOG/Clxk6YmzowMl3NBrJHj8eKJVpq9XpdEJwhpkujIegj2cymTLptEql\n4jjO4/FAuiCRSODPiVQa5WZs/1Or1aiEqFQqkk7rMpmRVKrX62FnzHGcwWDo9/tYyXp0dIQJ\nRoZh8vm8x+Mxm80oX8JOCNPh2WwWURXzjZBaQ1L2/vvvT0xMyOVyjClmMplsNguFtVarxSoA\nLJ89sQGBdbVMJmu321C2KJVKsVgMpR1W/MGRamNjwzMakY/XKmJj+qNHjxA0sepwNBph8SNm\nYdRqdbVavXnzZjgc9vv9YrGYZVm/37+1tVWtVo1Go9fr3dnZWVxcxHZUOLtGIpFgMKjVapX/\ni703iY07zc/736pikax936vIIlncd+1SS71oevZ0DMwYnmDi8TgObCCHwIEvAeaUf3zKLac/\nEiBwbEzGxtiDeLo93aPWdKvVPVJLpNhNUuJaC6uKte+snaz1f/hkCB/+9yYQvgfDsFtSFYv1\n/t73+T7P51Eorl69ilZjMpmEEI8ePfrTP/1TarQKhQIVMFKp9Pbt22juFGBPTEy0Wi3sIqOj\nowqFgh4ppGrKZ9vt9uTk5MuXL/mrKpUKzVJLS0uEBpk05PP5TqczPj5+cnLy+uuv1+t1SHu4\nG10uF39tIBC4efOm3++HKgXz6IsvvnA6nScnJxD+IAKm02l+oyKRCM1YhNSlUil9C5OTk/v7\n+8ALcaZz2Ofh4Xa7lZc8aCHE5QZ94ZbLJYTY/PGPS3NzANuEELiUhBBwJMBBzMzMcC8G+/vq\n1atbt24pFIpMJmOz2YhBI0pwXzabzaVS6Vs/+tHJyMizn/wEkFC328UeC7QXmH08Hm+32z6f\nr9lsfnRy4na77Xb7559/rlKpCKFlMpmJiYloNDo3N/fBBx/Mz88TwLNYLLNPnqz8v/+vyuXK\nZLPoA0IIhUKh1+srlQrq5M7OztzcHDS1WCxWLBZVKtXU1BQFIhqNxul0AukXv4tgoERzo19Z\nWTGZTNevXw+Hw7gDMXWp1WqeItQR+P1+pnz4Cugl4bAvhKBoESIgHKVut6vT6bRabeOLL4QQ\nQ0ND4UyG6dybb76JOQS3g8PhwAC+urq6tbVFanx0dNTv99vtdtTeWq1GvwlQC6PRSAr83BtO\nk+HR0RGEpnq9nkqlKJlsNBp+v9/n8/l8vk8//fTOnTt+v1+j0QAwMhqNOp1uenqaYDTXiEAg\nwGm9XC7Pzc1hg5uYmKhWq+FweG5ubm1tjULuu3fvvnz5ErLz17/+9VQqhTUeRiBWDSCxRB8P\nDw9XV1cpCavVahzYsbLIZLJIJALtJJlMMnOG0IK9WqFQuFyux48f+3y+Xq/3/PlzYiz0Q/7e\n7/3e06dPp6enuZa99tprpVLp+PiYU4JhaOir+QJesHWpQV/ElUwmNRoNdURM5P6PgCCVwmvX\naDSvXr3q9XqJRAIQx3e+8x0ow9hjoZThaKbeLRKJUIDS6/VmZ2f/+q//GspEOp1Wq9UYaani\nnpubu3nzJpd6uVw+NTX14MEDt9vNt/f09JQ7NdV2V69elclk2Mv46gohXC4XUzh4Rvl8PpfL\nmUymXC4HVZJzKJR9q9VKdhG6E/GNoaGhlZWVlZUVpVKZTCYpDKQ0hJAbXj2VSkUROEBUnlj4\n9ijZwpRCZjqZTOLZOCeZYJ5jLjowMMDRGx407kO6ZUOhEA2Ke3t7pVIpFAohTfz85z9fWFjA\nO0wR9eDg4NDQEPWJL168GB8fZ8KJ7n94eFgoFPCKRKPRdru9srISj8fHx8etVqtarX758uXL\nly8nJibMZjMReYBH2BCVSqXb7T4+Ps5kMvl8/vzGoFAopqenw+Ew1brZbHZhYeHs7OzLL7+k\nBKBWq9ntdlLjOCVkMtnt27dxYlDBxXTU7Xa73e5KpQJqNZ/PT01NwRXJZrNwWYeGhkCvlEql\nO3fuRCKRTqdTr9d5s1SLgRpvNBrnHTrj4+PLy8uZTGZxcdFkMk1OTtZqtdHRUYQmymfZ3JHC\nL4eErMsN+iKuQCDwN3/zN4ODg3fu3AHL2frdMpvNMpmsUCiQ2rp27Zrdbud0gwCi0WjMZjM4\nOqys2WwWvmi5XEYA8Xq9f/zHf/zpp58eHh7ihUBqPDo6GhgY4EJqMBiePn06Pz9PlTWCCRLt\necLw7bff7vV6e3t7hAvy+TwqajabRSLATcxjgJEjWzbxPDZWHIEbGxvLy8sMJOEaI7kUi0WA\n/TgTEHMikQgxdM5x552tvGWoUvS6os+wF+v1emzguNzQXlAkqF8ik8K0kIEqDarhcBjrnl6v\nJ5dBBwrBvKOjo8PDw3A4bLPZyuUy8cher6dWq9PpdDweD4VCxWJxYGCA4erZ2ZnD4fB6va1W\nK5lMcv/o9/t/8Ad/sLCwsLCwoNPpQFqvr6+fnZ1tb28vLy/j2aD5jFO5z+cTQvDJ5nK5hYUF\nQoDQnFUqFaQ9bC08aAcGBgwGg9FoNBqNz549owUYl8j09HSlUjk6Ojo7O4vH4+jCTqcTQFKp\nVOr1epOTk/SRy2QyMK2QN7haPXnyRCaTJZNJXhJCvF6vxxBC3gpUIW76aDTKAR/WeTabvX37\nNjhyflu+ym/ghVmXG/RFXG+99dYf/dEf/a//9b+uXr3605/+dHJykhM0cgTSqsPhIJ2FaYz8\nNBEDKBC1Wk2lUu3t7XW7XcAdZC46nc5/+2//rdPpZDKZH//4x9y1fT4fIGZEAIVCkUql/uzP\n/qxSqWAoph6l1+vp9fp0Ou3xeCwWy7vvvqtWq8Gw4cw7OjoSQuCyqNVqSBDZbBZlxufzsVFC\nETk5OaGWVKfTLS0tDQ4OImUmk8lgMHh4eHh4eCiEyGazbrcbYkapVEL9ICiIKCyVSs8tva1W\nC82BbirarPV6PaBL9k3wzU6ns9lsMjeTy+XkMJvNJuUgarU6k8lQ4gdUc2FhAdYPQjNRZp5k\ndN1yZux0Op999hkvQKFQfOtb3zIajbR8MfTDP55Op/mBcz2SSqUfffQR0KVer1coFBjTwQ/C\nlbG+vr6zs4MdQgjB22Qo2uv1NjY2aDnpdDrsqsViMRKJ2O125pB/8zd/8/bbb2ezWZPJ1Gw2\naSuvVqtcNdC73G43x3D0qGAwyPM4Fov1+/2DgwMmjTjHnU4np2lwKzabDTv8+Pi4wWBYWVnR\narUgyIPBIL4OStCTyaTL5UIDsdlswJUAEkBZofTyq/wGXph1uUFfxIXj7T/8h/8QDodnZmb+\ny3/5Lxxg5+bmGo0GR0XcEajGqLToBkIIJldsMTirEFu1Wi13+ZWVFYlE8s477/zkJz9JJpNv\nvfXWzMzMu+++S+detVptNBqLi4v/+I//uL+/T30f9/12uw0OIhgMkv8GwdPr9b788kudTkeL\nCiPB09NTiBlEipn1AVvgYMuQDcrd+vq6XC5fXFzs9/sOh4P7u0ajGR8fp7EQgcVqtc7NzUHk\nIIioUqnYvrvdLloKLD2ZTAYiihkpZ20hBJiO4+NjHgb9ft9isUD3Z2twOBxCCJ1OZ7Va7969\nWy6X4/G4XC4HLS+Xy+Emq9Xqw8PDtbW1b3/729vb20KIlZUVvV4/NzcHQ4O0Ua1Wq1Qqfr8/\nFouhUA8ODo6NjXm9XpPJ1O12k8mkXq9XKpVXrlxJJBKJRIIjv16vd7vdKysrQojt7W2DwTAx\nMTE2NjY1NXWuM5RKJf6VbDb7zW9+UyqVfvnll3a7XSqVJhKJkZGRg4ODeDweDodhM+3v709O\nTmKL7nQ6ExMTwAWr1SpZbQYMSPl0teC+MJlMPNIKhYLZbN7c3Hz+/DmdNVyJnE4nDyoihSaT\naWtr69WrV1jxdDodE0LYgSsrK81mc3d3lyadZDKZTCZnZ2cPDw/j8ThOQb4Cl+tyg76I6+zs\n7MWLF9vb2x9++OHdu3f/83/+z5CD/uf//J+AgPnmz8/P80sPAIx0NZ3Tw8PD3W6XeAgbokKh\n4LBGE1IymXznnXf+43/8j8Fg8N133z08PLx3797S0pJOp/P5fK1WC7YvHjKXy8XRFQsa9azR\naHR+fr7X62Wz2eHhYQLEpM+bzaZWq+10OgBI1Wo1MgJ3cKpYqPujANdqtc7OztKKnUqlwGJQ\n0EcJ3sDAAMcxEJc2my2Xy2m1WqzH7FZsW/1+n2QE004093Nwx+npaS6Xu3r1arPZJM8yNDRE\nsk78ruu2WCwKIc5f8/j4+Pz8PCAqGM3NZtPv90P+g/Jz+/ZtrVZ7fHzMUb3ZbEK4J6RDPSNp\nOo/H43Q6yeZlMhm73b6+vn54eMi9fmdnZ2dnx+v1crRHIMbdjP67vr4+Pj6OlIQOQPXfzMzM\no0ePkIN6vd7CwsLS0lK9Xl9eXk4kEshiFDnu7OycnJyYTKbNzU30d9LYEPfpTwCKBLSPvbXb\n7QaDQYvFotVqaSz8V//qX6XTaXbw1dVVIcTAwMD29jalDc+fP2dg6HA4RkdHsXYUi8XZ2Vmo\nIBaL5Xw6whk/GAwS3un3+61W65yO/X/5utygL+IyGo0rKytTU1PMx7e2tjhBv/HGGxyfiXJt\nbGxw0KhUKpSlEmPD0UUHB5E8m83WbrdRrvE2CSF+9rOf/Y//8T+sVuubb765t7enUCg++OCD\nSqWyt7dns9levXrFf4zinM/np6enVSrV2dnZzZs3UQOEEIA30+m0z+eDZyaEIG04MDAAruzk\n5IROUv5IoVA4OzsD6KPX60HzVKvVly9fptPpO3funJ6eIlI3Gg3OdzQZGgwG2JudTiccDms0\nGppe4/E4wqtMJmNYR9aclA21AKjkkKC5sEMR6Xa7NHATtOMRIoQgwOJ2uzOZDOkeg8FwcnLi\ndrstFovH43n8+PHExMSPfvQjg8Hw6tUrk8mk0+lyuVwsFrt69WowGKTwkCpbo9GI/N1sNikp\nJ1XPfWJxcRF9YHl5eXl5OZ/PwzVtNBq8sPHxceai0WgUrXx/fx+vBeLA3t5ev9+HGopcTtmj\nXC5fWlo6OTn54osvoH/Y7XZyg4FAwOfz8UjjQob6MTU1pVKp0um0wWBIp9Mknjwej8Fg2N/f\nn5iYoOuS2w8WlIODA9R2m82WSqXws8Pyj0Qi3L0YGufz+bm5OXLejHwTiYTBYDAYDFeuXHE6\nncwwi8Ui/qXLdblBX8TVaDQGBwczmYzL5eLSx6QbcD72CYfDwcSM/ZcKjFqtVq/X/+Ef/kGp\nVAJhQNaApJHJZCBewp5vtVpWq9VqtT59+pTqI5D2qVTq5OTk6tWrGo0GEaPf7z9//hzgWbPZ\n/NWvfiWEAKcJp+Kc706SEPWDzDGW7Ugkgl2ERIzNZjObzbFYDBs1J8TZ2dmBgYFkMnl6enp8\nfLyxsbGxscHYk+DMOewJoSCRSIyNjaVSqeHhYVBBaLJEFi0WC9kT0u1E5GFQFItFdgd2MYlE\nMjk5CbpPKpXivyYYGQwGz4/8NpsNnxxaOQ4TlUr105/+lGP+b37zGwTZtbU1EuEajSYUCt27\ndw8HC77Jly9fKhQKKnTL5fLVq1dfvXpFxIN7EmdwvIkSiWR+fj6RSExNTd2+ffvOnTuZTAaN\ngpR8OBzW6/UA+/v9fiQScblcv/zlL3FYQ4VWKpVms5kY6t7eXqPRIJUaCoXYnXHI0ETebDZz\nudzc3BxgjWQy2e/3A4EAMRMewGNjY1tbW0KIk5MTpVJJRdnQ0JDRaIT9LZPJ8ALm83m/36/V\naqlEMBgMyWTy+Pi42WyyoX/961//p3/6p3/6p38CroRv3Wq1cle7XJcb9EVccrmcik/s/Rgh\n0D1rtZrNZiNUzX7U7Xap6giFQpjesDDzTYMqyY4GdI0tiSbmmZmZQCCwurpKdwaCCW2h8Xic\nv5/9emlp6b333tPr9bdv34b1Xq1WhRAQ9+v1usPhODo6YoPm5JjJZDA8nO+hiUSCPQjXBGdn\nWmiFENhgZTIZ4YWpqampqSmj0Yj7Av2BySdEOnLGKpUKTUMIAVCN0rx8Ps89o9FoIApZLBZG\nYUCZh4eHC4VCLBarVqvNZrNSqWSz2ZOTEzI4KpVqY2MDky/+XyD02F0MBgOI1HK5jBLidDpv\n3749MDAA54hP8OzszOl0Pn/+HJq21+uNx+MjIyNU5HS7XTjLKysrIDKq1Wq1WsXqIJVKz87O\nXr16pVQqo9ForVY7Ojqi/OXo6AhqCtpxOp0eGhqyWq3ZbNbpdLJF4q6rVquUecPURi25d+/e\nyckJlerpdJpwP3rLycnJ3t5eu93e39/noXh8fMwoj4d6Op0ulUoGg+GNN97gZ6XT6XB9WK1W\nYNBMrY+Ojp4+fbq4uDgzM1OpVFDwgbSMjo4WCgVQrpVK5e2332Z6CZZkeno6nU4nk8mv8ht4\nYdblBn0RF1fC89ImtVqNFQnMGOC30dFR1DoKpdAfP/30UxIZGIFRhIkaA28DEMokMBqNnpyc\n6HQ6ZITR0dFQKISA8PLlSxpVGMoPDw/fvXv3L//yL+v1ejAYhIg0PDyMSQ4Ro16vEyERQvDi\nAYcajUa73W40GjudDpFF/ki73e52u/V6PRwOQ36QSqW3bt2CIu9yuXZ3d3d3d+EFs4HyRyhy\nHRwcnJ6eRjAdHh5OJBIAmDC0lEolsJ9w7Lxer0KhQIXHNMIJGtDa2dlZLpdbXV1VKBQka4QQ\nqARwiHQ63cjICK4Dahs7nQ4Sczgcxs3G8ZOcd6/X29nZmZ+fr9fr8Xjc7XYHAgGXy4VMgSsx\nEomMj4/zpDw+Ph4fH6doEVSQSqXi311ZWVlfX/f5fLgyTCYTMBbauchq8llAmyI7KpFIMOGZ\nTKZIJDI3N2cwGCqVCqLz+U1iZ2cHwDT12+VyWSqVfv/73w8Gg263G+sOLYgDAwPj4+MEaubm\n5ugV4+lYr9cnJyf7v6tdN5vNqVTK7/d7PJ6lpaVqtXreZUzYnfI2bJq9Xm9mZoYZA6hSs9n8\n7NmzqampocugihDicoO+mOt88M2+k0gkYNywO+dyuVAotL+/TwScI2en03ny5An2Z2jLhUKB\nrApOD3ZedEm2aW6ssKG3t7fr9fo3vvENngEzMzM6nY77OAJxIpH4u7/7OwrrrFYr0TulUomt\njZAe5SBCCHq7BwcHX716RXVIJpOBQH0ORSIuwSgSQ0Kj0Tg4OGC/A5Q8NjZ2eHgIM4Qtg/gG\nX+l8Ps+xLpPJvPnmm+vr6+gYp6enHo8nk8n4fD4UZMB1pNjb7XaxWORIjmERsqvBYOB18haU\nSiXkUp1OVyqVSqVSLBaj9pSjpdls3tnZuXXrVrVaHR4eNplMzL7S6XQmk7lz5w6mGs7aV69e\nDYVCUqm02Ww6HI6hoSGQm7lcTggxMzOjUqni8Xg0Go1Go1//+tdRyXO5XL1eh2rP34bmAKSf\nqen09DSuc5PJxKVBo9HMzc3xljOZzO7ubj6fPzo6ymaz6N1Pnz5dWVkB6kLXjF6vt9lsLpdL\nKpUaDIbJyUnQKAsLC/DBcUziX6bowGazIWG12+1PPvnEZrPR9IqkNjk5iVRFszv3GFh3iNFO\npzMWi2m12k8++cTv9/v9fqPRWKvV3G63EALA3lf7Hbwg63KDvoiLU6FWqzWbzRinSG0QGhwc\nHLx27ZpardbpdOl0OpVKZTIZIcT4+LjFYoHVQE0RofB+v18ul0G7kZam79Xj8cCATiaTNGH7\n/X6v10uJFC6027dvW61W6i3IsFy7do22ZpVKRf5QCNHtdunGButTLBZxj3i9XqfTOTw8DAGH\njsRUKuV0OokpymQyj8cD3LlYLLbbbbvdXigUQH3+82JT8Tv0R6/Xw0KHTHF2drawsHBwcHDj\nxo1YLObxeMCZer3ehw8fQkDOZrP4vfx+vxBCp9PR7JXP500mE5JFu93W6/UcS/kUqLum25uo\nJDePoaGhjY0NkjivXr2SSCSPHj3KZDJUh0CParVaz58/NxgMWPROT0/HxsagCMlkMqlUurKy\nQsnW7u7u5ubm06dPTSYT+s/u7u7y8jJkJalUOjk5mUql7ty5A6SQXwy0EZPJVKlUGE7G4/Fk\nMplOpzHJ0WLlcDju3bu3u7s7OTkJMQMfeq1Wu3PnDpg6fg14+PFLEo1Gz87OIAvy8dVqNQDZ\njUYDcNXg4ODU1BSCDHhV2ibRl+nK4eeGxwZbi0QiyeVyEonEZrM5HA6z2azRaGD4JZNJq9W6\nvb09MzOTSCS4il0u2X/6T//pq34Nl+ufrbU18eDB87m5YyFwqgkhaJ0oFovT09NoyhApcYwO\nDQ2RxQBiQJOIEILTDcWpSMNnZ2fT773XMhgSX/sa91mpVPr48eN79+7RaAV/2ev1crLjm5zJ\nZAiJ7OzsjI2NoSGg/8KDJojMOX2qWrU8f5782teqVmuz2cSTQFIOkwn5b+ZF1J1gj4MzyVUd\n6QCtwGazvf/+++SzwcjxB/f399EBcOkFAgGO80QKoaYhpoPt51+Ry+Umk4n+VmwbeO94wBQK\nBSHESLXqePo0dPVqd3qav5BKAfQicpj/XMsWQni93mq1ykMFXwoKst/vh5784sWLgYEBtVo9\nMjJyeHg4OTlps9lKpdLw8PDs7Cza68DAAPsvG7pcLofP6XA4nj9/7nK5aHJRq9WRSITnGcxr\n2gK5dvDpgOtUKBTAndHN5XJ5NpvtdDqbm5vdbvfevXvxeJwqFrlcvr+/X6vVSKtns9m7d+9y\nz0BGm56etlgsoVBILpc7nU5QXOFwGEVIpVLVajWO5EajcWpqipCnzWZDj1KpVNwkuD1QTck5\nQC6Xz8zMeL1euAVSqdRqtfb7fc3JievDD8W3viVu3frqvo1f/bo8QV/Etbi4CNYdHvzIyAi/\n1gjHBHZPTk5arValUkmn06CEtVrt6ekp/y/IBmggIKHxpQohZDIZBHrOUxqNhthIIpGoVCrz\n8/PJZBLLwenpKZMfq9XqdrtnZmZevnyJRUyv15/LoDab7VxGIADW7/fNZvPDhw9h9ABncLvd\npVKJmRjbJcl1vNtGo5GLLfZt6e9WqVR6/fXX8YE5HI7h4WG0CngYAAAgAElEQVTwRp1Op9Pp\ncITc2trCmwGyjrT3eRqtUqnQ/qfX63HpoeRyKeFnghjdaDTMZjOEqWazyc7CgR0veS6XA4Ux\nOTlJ+vFXv/qV1Wo9PDxcWFjIZDK4IAYGBrAowL0LBAKzs7M4mguFwurq6uHhIWBlPj6n00mx\nWS6XY5wwPz+/ublJP8Da2trCwoJWqzWZTLdu3fL5fAsLC4QqeQygXAUCAZ6CL1++XFpaQtFe\nXFxMp9OLi4sGg8Fms4HsWFpaunnzJnbvcDgcCoXq9frS0pLFYiHCY7FYwuFwPp/f2NhACisU\nCuvr64haTHqprcrn89ycQKDQi0gak2QgeEUhBIw6iiYQTCier1arDBso3sQPA1nwK/wCXpx1\nuUFfxPXy5ctcLgcoZ25uTq1Wm0wmtpWJiQkqlDY3NwuFwubmJu18RqORgtHt7e0rV65wyyY3\nTHEcXDchBN/nbDar0+na7fatW7esVqvT6ez3+yMjI48ePXI6negYY2Nj6+vrHo+nXq//7//9\nv9Vq9fe+971CoYCHD5RPu92mOJxmKWxYPp9va2trYmICYwDybiAQ4Kh4eHjIs4SpnRACXv65\nxbvf73s8nk8//fTTTz/lcA1CGgnbYDAQvVtZWRkcHASXbDAYkLmhpzKAwicAMKjVamHpy+fz\nhULBaDQODg5evXoVXZiXHYlEEDGEEPQ0MlH0eDwzMzNutxvJm0wm/JAf/vCH1Wp1cnLS7/fT\nmcKWZLVazWazx+N59eqVwWBwOBztdpsQeTAYFEIg1GKY+/DDDw0Gw9bWFh0FZ2dnn3/+ObUJ\nFAtwwt3e3pbL5cFgENDz2NgYlduMFu/evTs6Onrjxg0MNiqVKhAIfPLJJxycP/zwQ6/XS9JS\nrVY/e/YMV9zq6qpGo6FOt9Vq3b9/n4clx3Ov18semkgkIE1jASqXy0gTExMT6XTaaDTiyAyF\nQjTvyOVyl8vF7zCf0erqKvNhiUQSiUQ40U9OTkLtAJrKePPx48c0Zn2FX8CLsy4ljgu21tbE\ngwe5d95Jy+Xtdvvhw4dffvklyUDar4kmQ56TyWTj4+OcJVE54KZnMpmhoaGFhYX9/X1qqLDi\nmUymsV/8Qthsn3m9fHP6/X48HjcajfDvmUlyAOQeSnU3xOHT09NAIDAxMYFJrlarjY2NcX2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v3szn84FAgMJvHl39fv/cXMEMUC6XM8wYGQKp11sAACAASURBVBmBHarVamkyLJfL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", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_wavelet(a,Jmin)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select the threshold value, that should be proportional to the noise\n", "level $\\si$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "T <- 3*sigma" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Hard threshold the coefficients below the noise level to obtain $a_T(m)=s_T^0(a_m)$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "aT <- thresh_hard(a,T)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the thresholded coefficients." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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GT89u3bsbGxRi9QGxwclHlQFg8uXbpk6cNhgR8IaM64uxNC5iIiVjw8CCFubm66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\ngFMIaAAATv1/QHb9D7YDHYgAAAAASUVORK5CYII=", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_wavelet(aT,Jmin)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Reconstruct the image $\\tilde f$ from these noisy coefficients." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "fHard <- perform_wavortho_transf(aT,Jmin,-1,h)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the denoising result." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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jxY/y+4/iKRCP6Eqj5rntSePXuIaMOG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"text/plain": [ "Plot with title \"Hard, SNR= 17.2443659780483\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(fHard), paste('Hard, SNR=', snr(f0,fHard)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Wavelet Denoising with Soft Thesholding" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The estimated image $\\tilde f$ using hard thresholding.\n", "suffers from many artifacts. It is\n", "possible to improve the result by using soft thresholding, \n", "defined as\n", "$$\\tilde f = S_T^1(f) = \\sum_m s_T^1(\\dotp{f}{\\psi_m}) \\psi_m$$\n", "$$\n", " \\qwhereq\n", " s_T^1(\\alpha) = \\max\\pa{0, 1 - \\frac{T}{\\abs{\\alpha}}}\\alpha.\n", "$$\n", "\n", "Display the soft thresholding function $s_T^1(\\al)$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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gqCgoL69OlDOw6AbBLbCDo9Pd3c3Nza2lpcGwRmlZeXW1paPn/+/PDhw0ZGRrTj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\nbdo0oVAYERHRrl072nEAgHV8T7N7+/btqFGjkpKSqpdkZGRcu3b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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thresh_soft <- function(u,t){ return(max(1-t/abs(u), 0)*u) }\n", "\n", "alpha <- seq(-3,3, length=1000)\n", "plot(alpha, sapply(alpha, thresh_soft, t=1), 'l')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select the threshold." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "T <- 3/2*sigma" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform the soft thresholding." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "aT <- matrix(sapply(a, thresh_soft, t=T), c(n,n))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "To slightly improve the soft thresholding performance, we do not\n", "threshold the coefficients corresponding to coarse scale wavelets. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "aT[seq(1,n,2^Jmin),seq(1,n,2^Jmin)] <- a[seq(1,n,2^Jmin),seq(1,n,2^Jmin)]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Re-construct the soft thresholding estimator $\\tilde f$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "fSoft <- perform_wavortho_transf(aT,Jmin,-1,h)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the soft thresholding denoising result." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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EKyGKSzWCxWq9VExO12Qxm2A8MwQqEQxuMgfD5fq9WCL7B9UqkUFM8w63Q6NBth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Ozs79/f3e3p4QWgBSKBJeXl4KeOL3+9+8\neTOZTE5OTtrtNsUAHjlADMMwfv/735OXYLhxG7Zt41RoL1JKIegcjUafPn3K4yRpilKKbxZE\nW7k0CzudDh2SYHSC9b/laxtBb9z63e9+d3FxAUjq7iUj949Go+T1VF3Q4MegEJhQPiJoXa/X\nyWSy0+lId5z8A1Q6l8vt7e1hkQeDAbPghOoUjUYjkchwOEyn02ghWZYFz5r3KKWk4Zt9iyGQ\nubHE1AAInU7n8vIyHo8ToeNgiGHj8fh8Pm+32wxLJE0m6i8Wi47jZDIZ+tQ9Ho+AOZlMplAo\nrNfr73znO6vV6vz8vNfrnZ+fS388wA6RuKN7HWUsoakHh4syJ8ZXKYXNNU2THByXKUVCcCG+\nn3KWoAcIXIAgmVrP0+PxCMWCq4R5dRxntVq12+1qtcoZcXkty7q/v69UKnTfEXpLWYLLQk3y\n8vIS8X5ba27ImeZyuWq1enBwEIvFoOs5urN8vV4jnCLeAvdm6/Hn4sZw6tI61Ov10KTmT5ws\nz8l4PE4mk8lkEp6G1+sFp8aLyBPFp8BATC0JDeyDP5CCp1LqnXfe2XYSbiPojVs8zZgDujOU\nFuwXLJXtTUv34eFhMBhsNpuIPNDOQBndcZxUKnV9fS3xuNhox3Gm0ynJbCAQmE6nxWKx1+sZ\nrmF6bOlCoSBTokWWwdZ8uHg8Tu8ZU2iVUgSPFOtMLSC3Xq+z2SxtZiJkQaxNzo6Uvt/vZ/SU\nyAmtViuZNoB5pcqHmV5rAT9m4tH8gjXBIBLfKY1pYC/kFOSCA1+0222lFINd8HZEiPyEzD1x\no9Kr1Wo+n6PNxFQXomOlW++4hgDo+FQqnFx/SosCvluanS3jbMLhMN7O1uO9RVt5OBy+//77\ncPhMPS3Q6/UyaOru7q5UKhHD4hWo3+IbhCEODgMusdJD0GFng5hzPNPplJkDzI7hCoRCocFg\nQPUSeMfj8ZCHNZtNy7JAcpRSHt0dLr5TzlQqBLZuuSLtCIVC5Bxv+doa6I1b6XT65OTk8vIS\nE+bRKsZKKXJqdqzjOPSPmKZZr9cJSWzbTqVSArzKto/H481mMxaLwbDG/qJKc3d3RwUP6APw\n1OuaD12v11HPkWiIvWRo5Qe6SAixCffi8Tgf5838W1BdHA80DJpWoAcopdjtsLiATS4vL5PJ\n5Hq9hgpNjH9xcXF3d7darYbD4dHRESE8NkuYYbPZzLIsbKXMHxEXYum2Ool2AUwR5QBWEikf\n2oXo7gsGg5lMRikFY7fb7dJ6x4AYuRrUJ7GVjBnj9nE1IDCg38YYLTB0Dg85b3SmUO+rVqt0\nQnILlFKQTEajERE6MSl/Wq/X4/E4lUo1m01kWJgMALhk2zbQvMfjQfWJB4xbwE9gTBliiYOh\nRQW6CL021AyYaYDei3RUAUPhy21NeRTrzyNBwyosPYKPwWAwGo2SySToB/7g2957m7e2Bnrj\nFsOcXr9+TciDRZN6OngrBlq03KLRKL1zbEhyUgqM5XK53W43m00q7BhNokviJhJMwFMQZOle\nk3qaIKTYFwJAaoMe3Rtt6qYV2p2JuAmIJF7jkJRSCC11Oh1B24GVlVLIpyHKo5RiPJ3H4xGN\nvYcPHzYaDQ6PAByu3mq1Ojw8NAyDHkXCMQ5JlrALLD3Qj9KolKoYyIJ8DwZrPB7jkMLhMDP9\nQB7orUeiRK429QAid9pAotGoUCOUpsFgetrtNjP9TD1+m9aMdrsdCoXK5TKUtXq9LlpIpqtP\nD5tLPCsEbVM3l5qm+c477+Bu5/N5p9NhSjdUP4JWPJC09gGewFAE6LC1rj/BLGxO4l/ANFwd\nJD8eRUdT78mxxGSTz/E2MJDxeIyeLVcGNjoOiYhBouy3eW1pdhu3bm9vO50OtGI2LeUmIcMK\noRUYF9UOgjvLRY4Oh8OpVOrq6uqDDz6Ix+MipIAIHNM8GZ2F6YQaAapL6R9zrLSEvJTpic1x\nFe5ZGGLoPXoAlaVbt4WQSzcjtiyRSEDtIMobjUaUvzA9iJTCMbi7u6OvoVwuU88MBAKJRAKd\njVAoVK/Xq9UqzA1Tj4kBy7Ztm7EdmBvcEhU/CL8wkbEm9GLgomCq4DCGw+H9/X29XsfVhcPh\njz76KJ/PA1BQ8ByPx0ynxmZZltVqtW5ubhjNhQHi0nE3yQm4I5lMxqc1+BOJhK1V92zbPjw8\nLJVK2H1TT/gWIBjTjI/hFBj9JyqD+HJHd3vLMXBTuD627timhwjIiBIl0noQgaBziGOwbZuo\nX3iW6/V6OBzWarV2u432NBxwrL9Xj4RfLpfVapWaranH5TiOg/Z3tVoNh8MwYf6E23BD1tZA\nb9zqdrtgrF6vF8vi1VLuPPFKKdjNStO/MEZSHmQLBQKBSCTyu9/9rt/vE1wrpaCaUohTWpkI\n24FFoJMll8sBI0p83W63MdBr3TlNkCuIh6MpxrZuAhToE7CVf5PsSypNfAe/DRCTnYn5mM/n\nw+FwtVoxjDWZTLZaraOjI6FwCe4ZDoePjo5qtRqRPrGeaGuARbgvsl8PfsVtSNWOg8eolUql\nwWBAP8tkMul2u9fX18+ePTNNs1AofPDBB6VSqdFoWJYFzEIZE14dl3Q8Hnc6HUHMLb0c3ZCt\nlOLgZ7MZhBzKkkqXIhzH6fV6r169Aul2G2h3Bc/RCn/YViJuQB5uEDE75njpmvNgaFEkwnPT\nNJPJpIC/wFY+nw80Bi6mrUfMOI4jDE6pf8ZisVKpZLn446JSS/mUm5vL5ehXsvUKBoPHx8ce\nj2c0Go3H40QisWVxqC2LYwPXV1999Yc//EGEF4ACUR0i4CVSlo671WolWjMID7HZEDM7Oztr\nNpv0UFQqFSGlytYV+RtsFpNkkadgj1F283g8mUzm+vq6WCzKVozFYkyklWKm4zj9fn80GsVi\nMcqVkBzkaBeLBZgyMkmAy41Go9PpIHXd6XQwHFhhGvZo9ACQabfbX3755evXr0ulUiQSocnw\nq6++ur6+XuqB3CgfSWAoyTK6dGDNxJhKFwmxfeAAh4eHYKBoanOVSOq9Xq8MPv/FL34BWBwO\nh//qr/6qVCp99dVXdM1wcSALC/+a+J1bppSihkY1LBqN8r9oEhEI41PpuOENlCK5+6aeG2kY\nxuHh4d3dnW3bdEh7PB4+C4QCC8WNBYNlCSwDRsRMWIHOeE6GwyGcQow1Pyc8RTq5ORiuId+Z\nTqepBzBmHsI7c1IA1vkh4G+uajqdvru748uJHg4PD7/73e9++xtwo9Y2idi45Q6jsLNkf0qT\nTL/66qt0Os1W4Z2icZ5KpRCNo8jOHDzCcLhctGm5u+YASdlXlmVdX18nk0kEdARjWa/X+Xz+\n4uKiWCy2Wi1sBNNbACiheWCjU6kUnOXd3V0kpCltUWlk/DPYKHD2mzdvotEob5vP5wxMYQMr\npSzL6vf76DNgcNGRKBaLw+Hw+PiY2Vf1ep0+CJoJ3VUpzjGZTEKOxu5jjBjbgXchbCQwf/To\nUSKRGAwGaABB5Qau5QY9ffr04uLiN7/5DQDL69evDcO4u7t78OCBADWRSATAGkidXyF8BnHC\nCdErtLu7K6qwsJXXehQLMAXOslAoYPi443JIL1++LBaLNHqA83KPKKsSBXN/sYA0oIPG4H0T\niQQh7XA4xAELdcQwDOBm06WfR67gaIKzUgqIA9rldDqFdccjul6vz87OQqHQy5cvp9MpTYw4\nbPqPlFKwOUGoOPJtJ6HaGugNXISuWFJDj7yjykQZHWH+lZaeIdsVlhv1K4/HQ1MDOyGTyRCH\nirZGMBhMpVJYWABNNjxhmpsMx/4ZDAahUIiGC8heILyGFp9ja8nRsm/BGbE10Wj08vKSxo1m\ns4kwNOLU8NtASPkSInelFJm1QOHtdnsymSCygd6bbdv39/ez2YziJOYM7JhZWcRxYAjSyyeh\nnzANlNY/wglxHeA2YEwZrghwgU+C22dZVrFYDAQChUKB8pqQBYfDIdU/GgU9WpqZyhijzQmZ\noY3jMDB8gsBywbksCMASaPNXUoFUKoVUC4lXMBjs9XrpdBqvs1qtGPlo2/ZwOCwUCsBcUnLk\neQNqkI+w8KMSO3u0xKijZe3kuZWKBd7Oo9VCiPQBrEiJIIGYWsgFH+OekdjtdmEQ/dE328av\nrYHeuOWmPGNBKHwrpZBGowDo8/lkJohhGJCuqC+Jrq5IN6TTacIW4e2Rt4JsYFsNrZ9J7mlp\n1XYhh9HfxSuEqLKFMMFE/QKCY5IEYchms3d3d/Cr4vF4p9OBDaKU6vf7sViMEIw3I7uj9MQv\n1FAty+r1eqh5IIyJicEOihw2cSWGxtR9gMCmXi02D5dL6DEsTHYul1utVsViETaIrQcSYr8W\niwWNf4zThTvITF6+ba119+muXujRVrgurjOFOKbwiRqco2eKe/TCmnPA3OVUKpVKpZhpgtGE\nNynoOefIYFnAKK4/ek+WZQ2HQ2SwQHgQRcL6+/QEYZ+eACmtT5w7D4zQM9yxM/8V6BkATeli\nibyTK0NZVXjihhafkS9n2sAfd5v9maytgd64RdAnohCAFewBbArs3el0mkql2u22dMrt7OzA\nSaDILlORFovFixcvUARm/t5qtaKjjwnThuYFm6YJO5WAHb4BlDi+k2RcKQV4qpSSBgfS1Vgs\nhlFzl+DZ3vBGsHeO46AXQSkPBObx48e9Xs+j+8KJoDl+AFMsoHSKowvxwQcfVCqVyWTS6XQ8\nrnko4NHgyxg+2jQY+31/f08kDkkxmUxSRiOkJdYGt4VMApTBpQM9WOpRs1BBZEphIpF48uRJ\nsVi8u7uDR8FxKqWYE0bVlKAeGZBEItFsNh3H+fjjj5VShULh5uaGyetcdtBw6qiEpTweq9WK\nPhQcGzQJxlCB9hKV4xRXqxVKSfV6PRKJVKtVTgFoBQx4YTsAACAASURBVPgYh8c7DZfuazwe\nRzn6f1Hf5NoCcEu1EGU+4P7r6+t2u31wcEDax/vRQsInYaA7nQ64OSQZpdT/quu+nWtroDdu\nSe4JOKCUkqo6EY0IZbTbbYjPSuudY1IJQ4BTMaCO43z22WdffPEFLA4iHeFW80GlhfSIcWTz\nUJrz+Xyk7RTlpZaFdaAM1W63hfghxC8iMtM0a7UaQDDiD6KIz/GcnJx0Oh3eL8GgUgqXMxqN\n4BG6A17siwjww/LGLmNJla6FKi08DdDR6/VwIah/SAgplgiaF0dLH6A0TZh6RBZHTqQM0MFl\nh4GXy+UYKOP1eguFQjwer1arnLtcZ6L+QqFAcTKTydBOCVZOUQ5rFQwG6fojIwnoAWC2bYPk\nkChgoAmN8dZer7fdbheLRW6rZVkIMaOmD1AOEm3q5dFDcrlE0GAGg0Gv15vP5/l8HqKk+7rh\nBQXLUkpBQAJsyeVyZG/X19cUUWzbhoFjuWZxkR0i/AJihjr2W762KM/GLY/HI5UWnlcsC6An\nsTM4hnSCARnn83nU5njEUXXY3d09PT2dTCa//OUvCVvYVI7jEPdBxpKUNhKJoE3hLvor3ZtH\nCR5KX7vdRqSUd0KqxZRjUKBYIR4ym80I2SjQjcfjbreLhJOjdUrddD1bd0LCM8MK4BLgGKCo\nmc/n0djjIzQcA7xgBOG0TKdTDBOEAfSv8XNYQ/gP0MNt24Y8J3GrKJxI/i4QLfU0iWfb7fZ7\n7713cHBAanJ8fAyW0mq1xuOx0kIZnBoFQEPrJiOiHYvFisViMBgsFAp8LdcW2oxHj0pRSrVa\nLbAIImsSKd6QyWQ4bMJtfCQTDvE3tKTTsGe5phMIjmG62tkNw8hms4Zh8HGuA1E8JVCh8QmX\nQylFxZJu/tFodHl52ev1Dg8PEfQQhye3OxgMAseBCxl65uRbvrYGehMXwYjoPq/Xa5SCeX2l\nJ0ML50nIHqZpwiOmDk68ub+/P5/PK5UKnb5ivyh/gUhIo0E4HHZr/ciC1CFiDsvl8vj4GLaZ\nVNiIjygQAZJ0Op3b21uPx8M4Z0RCoNMiz7bWysgyKlu5xpQQltL0AbKMwVqtVqTtgUCg0WjI\nIFe8F18rUapSio6YpR6tIhp4btIYp4YNYk4V4TDWWcp0hu65B5wZjUZU/PBGfr//3XffPTo6\n4m07OztoRoO9KpdCqdKJEVU4bCi3myHrZBJiInHVpp4Us1qt9vb2ROaQ+pucMrdPGuixm6vV\nCkwJI7vUEtiOnoELZiVnKierlOKpAJuSLIfiofwWH3Rc03hh9Av/MpVKQYkRUSrlUhinSOg4\nDp7P0Rodb/na8qA3blUqFSYeLZdLGjTQ4oGQBKooIhKCG2YyGQFw3XAeWSe2mECMzpRWq3V4\neNhutzF8IADhcLjRaMRiMalf0TkikjfMLqFpAm2mUqn06tUrYnZUk+Cx4VRgMWM60+l0Lpe7\nuroS4c2jo6Obmxuq+fAIMaMEcUR2tm2fnZ3d3NwAaGBZeP3k5ISuM5TwxuOxz+cbjUbAxJBP\n0ESNRCKZTKbdbu/v7wN6YKwRz4OyHQwGi8ViqVSaz+dnZ2cEhl9//bUkKHAPxuNxr9crlUpU\n/KS70rKsQqHwySefvPfeezs7O41G4/PPP2fKIiJBSreY48mgBoP2LBaLcrksEM10Ot3f32fc\nARAKLpBcB0MGBEROAHsd1AXY1zCM+/t7OIKgUh6PB9Sbw4AW6bgU8tDL5t8YbuxmNBpttVqJ\nRIInh5gd8txisYjH45QB6a1XSpHkCVkI0SWunlRHYODB68DJcfCGnpwAMfR73/vehx9++Cfa\nhZuytgZ649bPfvazarVaLpdbrdb9/T1mbq1lj5hNRdlKgAh2NeEJbdNM4wbHxHB7vV72JxWq\ncrncbDaxhsLTGAwGyWQSchXgAGEmdS1SY4ARx3GorX3zzTdYPdgUsVgM1JvWasaOgNKMRqNe\nr9ftdkmNg8Hg5eUlims0E9PtLeJEhmEQiA0GA0AM9K+Hw2Gr1bq9vYU+iCej5TocDhuGEQwG\nB4MBFTnwFspx+/v7L168wKaAm0PnIAQOh8Plcvng4MBxnNvb20Ag0Gw2QTwIyTGsqPfV63VD\nD3ukkEt58G//9m8LhYJSqt1u//KXv3z9+jUfh1UiZhTbJJLK0+n07OxMGmECgQASsqZuRfF6\nvSQfwnKzbRum42g0AqUhSMfRYkNLpRLovF9PxhIeCxZW6BOmaSIbonREz/NmmiaDxCjkLpdL\n+Hx433Q6LbgW0TRXAxAJR0hcj6cBZeaCo6aCai5yUXwJ6RQWPJFIfP/73/8T7sRNWNsi4Sau\ndrtNin1wcKCUYoyT0k0lSqmAnkwoNDuqf1hksF2lxZVE7ocNjIAcLypdJITbxD7xer20aTiu\nLm2wi3q9TpmIythsNkskEnSOmKbJ/BSCSkSTpVhEOcvr9YpaBV+C8JNSyrIswmGGEoi6kNIT\nSIfDYafToUMnmUxyskj/EL97vd7BYEDwTieb0iQTYRdAQ0TNA/YYJmY6nT569Ojx48fBYBCB\nEZgMXHZDj6ehxYYj55gvLy/L5TJltw8//DCTyWB0FotFr9cD0CcuRhAumUw2Gg3OSzh26/W6\nWq1io5WegMNUKuJTQeSllmuaJnR4QAaPVoLm9AFMqObh1wF2gYwx9PittdYHJzxfr9e8jZsO\nqAWPiHqGlJcdrUVFiZIjF1afpeWeyQVt2+52u6iWC5NPaeaPVMLBo4Dj7f9Jsn5r19ZAb9wi\niSZoSiQSyBxTjhM4T1QUlGYum1p+ni1H3OTxeIhY11qwDYgQrTVq/RIBUdAnKSbrF7ugtPB8\nIpHARsuvAwcLro2x8GjlSVmCXRJG0WJH8gtzGUtKxQxrK/gphj4ej8NSMAxjOBzG43G2N1wF\nAB8R90Dzk2xdjkG641ZaPxO0FFyl3+9XKhW4DfCsAXM4bGJPjl+4ZbZtHx0dgT7t7u4+ePDg\n8PCQvL7T6dB1Te2R7vzVatXpdKQHjyPkFLhN2H0SEW4NPyrxLK4UKgixqtJS15yjWE9MP/SJ\n8XgMI5CrhAuX2YMSt5IlAMFLn8hCj2bHCpt60jlZEfwWEfCytZ4JhEim6wIo0yhI5ZDDoKeG\nZ1LpuZdcWMoMWwxabQ30Bi7mmPCk0jCNYpzSgsK2FvMk0GAzrPQ8bFtL8mPsvF5vv9/PZDKG\nlm+Wf8BZliBRZlNRl4vH49A5sCBE03RhYEBJlt0AN7aJIg9gCBm68O1gfYHYwK6DNkC4l0ql\nQDbD4TCicUopgciFikA4L8gs/XJMBMfQgMzQq4blksATrZJIJAKJhW7v4XAI2pBMJhHIF/Iy\n8NF8PgfiZy4JRDFCTgwZRA6ibBggsFbg85IlkPHE43HTNGmB4Upi7MCdOM5cLifmG5TA4/E0\nGg06aAzDgJ7Ix+UqYRxFRYuvgvGilCJd4B94L6AtLoubP843CP5A+kLNNhKJNJtNoDN+0d3p\nA7VG7gIWHO7Ker3OZrMUTihE87q8Uy51OBzGgeGrtmtroDdu0fiLtUXHwNGNv6ZLhIH4CDMH\nbkspn52JpcC6Ycr39vZqtdpsNvP5fDLEBCxSEmRZyHrw5ZhsLLVyxe+2a1HeAQQXfhvos2xg\nwnzIghggMStKKTBZcIler7erZ5nLIVEuI9CDkkXIBmlP6SkwK60TD84gERl5AxYNI4VtlQ5j\nj8cTjUbv7+/ff/99hoThcpLJJPYCVZOllpDGLnMv8vn8w4cPC4UClD6whcPDQ04HxWpbjzAX\no8wrUjIVCh1AlvCLlVIAytKsiL8U/gwX39bTdvirpFM8PNwvzK50hHJfhMrCXeNpkdeBtjls\nEhdDt4YDLsl5Ua019bg14n2I5zTImHq8DoQZR5PoIaLwhXhxCJ3u7OetXVuUZ+MW+T7GS2Io\n4Tb5fL7BYDCfz2FiEAQFAgGUeavVKtZqpQfaUxECd/Z4PD6fL5vNCgIrxldobUzu4Bfz+Typ\nKMIdhMbr9Rq2BugEjRKoXmA1sICo1tFoR3BUKpXa7bZQJihAJRIJomzSaqXb1sV8mHow4N7e\n3t/8zd9ks1m3afB4PK9fvxahCRoxCJMF9rE1txesPJfLEeRKhoERhOVGv5yhxaxB+S3L6vf7\ntOSZuqlHaWyauJ7vwZH4fL77+/t2u73U86053/V6zR0RIMLWPfSj0Wg0GmWz2Ww2i80ChMXv\ncsfj8bhE4l69cJx4LDdozlFVq9V4PM6veDweomPsoxQJsaQUQiORCG4bKgi+H3tNPYOLCTrB\npzgdsgePVvYARIJRw+lQvkY129Ia//F4HPkRpSdDEhAII/vb3XmbuLYGeru2a7u2a0PX1kBv\n3KIoJHmiuwREwILGDVprtAvatg2vlnF5YHwCPhDgKJ20RqNRwGJhevBb5Mj0MRKCIReJqEIs\nFpMjvL6+RqBZqA4kp0rjGHwJB0bNDXkmpDCovBF3A/gSvUqxyNDNI4TkABQA7kKoAKYYDAYH\nBwdXV1fUncCCgTUNVwcNkWAul5tMJvf390dHR+AJ9ExL5Q1moWVZDP4QvB7cQIYuxuPxg4MD\ngA7pxk4kEiKZ4jgONEeuyWKxaDQaQEnCgeMslK4r0NBBjgJ5Q2lEKxgMQg0kWne02qcUYy3L\nInwGlZY77vP5QPwF7lgsFiiWyDvlGeOwd3d3B4MB08UMPX5FCobcJpjXglxJ56F7gdjI5CpO\nx7IsRhPQ6D+dTpvNplIKsJv+WEczF23dpPOWry0PeuPW7373uz/84Q8io6G0EBIctUqlkkwm\nLZduGQJv8ElBeMnB6/V6rVbjPTS8UU8fDAbD4XA0GuXzeZA+dh1FnrWWU4CZkEgk+v1+rVZD\ng5/Nn81maQaJRqODweDw8FBEMFDphJedSCQgk4A/gBsgl4w1URrQ2NnZSSQSt7e3hmF0u11O\nrVwuI1KcyWTA003T7Pf7tJgHg8FWq0XPjihktlotpCdarRZWQ7lGxAKSovDAT8DIBi86PT3N\nZDJ4snw+n81ma7Uaav22nhQTDAaTyeSbN2/i8Xi32+WQLMv6+OOPP/7443Q6zYVqtVpPnz7t\ndDoUEqFI4w+4vFwupdTBwQHIwGefffb//t//w3AbhsGEX5wuRAjgdaqsHq2RYusZZtlstlKp\n0PcIoEEDyMOHD2mHMXRLfTKZhHUubHfwIkPzxxFxFegfn2priVGsrYh2BQIBmTHGheIZxnOY\neoYW0DOdNRD5eSfPYafT6fV6EPBFuck0zXfffffTTz/91vffZq0tyrNxC/SW0JIgTkgF9C9M\nJhOeYDgPqVSKRmrsMnvG6/UeHh5mMplWq9Xtdler1Ww2i8VixFO5XI7yGoGMqTU5CbJ8Ph8T\nvvP5fLFYpOkroMe1KKXYyVgfn893eXmJtZVJJeFwGPME5EoHnbAmsCzUMx3H6fV6FPehmjDo\nb7FYvHr1Sune6Gw222g0bm5uCKj5d7FY5KQoytm2XSqVTNNsNBoBPb0bqyQNOyDsdKlggGiV\nHI/H8XgcKZLVanVzc2NZVjabxWCt9BjG9Xp9fn5+fHzcarUCelQVZBVL69tNp1P6cQRMl1mR\ndOsIUr+3t8flojVDaaXZZDJJVyTTY6HrCYzOcBxOSpzf69evs9ksndxePSBNKTWZTLjjhl6N\nRkMkBAC4A3oCN6U/yrPcMlOPoFVauFUpxfEstQgX7D2JwfE9VBrgxkiDPmVGwcoty2L6O9/P\nsBhDN7jjzv8kG3Cj1tZAb9xCTghBemGn8SfHccAHYP4Sz9Ivy7aU6uJqtTo5Obm4uPB4PI8e\nPTo8PPzFL34B+YweE0nqsbmDwQCVS0gCzKBDPAi7NpvNDN2JK/QDCZH4XUww4ZvjGliHEQEf\nYJIh1D2ADqUUZAmfzwfJmrMj1LX1UK5IJMJnKXjCh0OfJBgMNptNImUCW6W7ObCMtDVilMPh\ncCwWazabNA0Sy3MRgDI8Hg9kcIwXbkbqYEz9CIVC6FnzqUwmc3BwQEdirVa7vb1VStG3SdRJ\nnEvEzRVDH05a6ZgXDm5AGySB7Xw+5+JjKzGp2PdgMNjpdKD0RaNRvBGdnIJZBVxDT4Tc4tNj\nZDkw7g4ZA/xLj9ZlVtpnSCanlBJWXDgclmkP8isCT/FBZL7xYdPplL7EwWAQj8eHwyF8QUur\n2clB4tTdkh1v7dpi0Bu3gAKTySQRzWKxkNmagtJOJhMq+HzE1hrqzL5D9Of169f5fN627fPz\n82w2O5vNQC19Ph9MLDZ5KBSiN/f+/p5WacMw6BL0eDy5XC6ZTKbTaWH+rddrZosgsKeUkoxY\nDhIEEzMtf8KsEOKBbAIrk2vDyIaLIuxpYIrVagWRoN/vM80EyjApP+wU5nLRfomdlW/wer1M\nSSfc40IdHBwQpQrb1+fzkYkLBU34ZEJEw6KZehAJ4AzCEeiLWlpnlXRe6cmwjm7jxI8y/kZA\n80gkkk6nU6kUHSWIbksDod81IlYWz4D8OrgE+YEQPDBzEtsKUCMPkqHVZdGcgkJnuDpi5H/d\nNQxHi2pZLpFS06WshLF2HIcbxIs0YRJio13FIdGsiLyt1ANY1v/Unn471zaC3riF7bP0KCbM\nAbudmVVkzURSZI6gzKSWaFAIC9Xr9SYSid/+9rfMJI3H45PJJJvNiswYCThSc0s9dJnNM51O\nG43GbDYrFosIhJLYUuRRupkNQyCWiwVpD3uKveCvuVzO0otWb7cRj8fjtLmPRiOkIQJ6phdw\nitK6+8RZOCpR51FKwULDGq5dWm7ArBhEGXQApLO7uxuLxfL5PLVTIbFhcRh+iHGhH29nZ6dS\nqVApxbgvFouXL1+SRgwGg4uLi8VigVOkdw6fJJVYoA/EQxzHeffdd1erVb1e54BpY1lrhT/6\nXMTUSuHX0RNzwKl4csTyiiF2tBKIpcWngIMpWuLPIKELg96vJ90Iji8wjnAW5YOQIMmKlFKk\ncfQNchkpFRIgw+LHk8lPcFuj0SgpEYjTcjvySim1NdAbuAg6pO2VR5meNAlJms1msVhEJx4Q\nMx6Pg0hKPIuCM+Waq6srBlrTfkJxj59Ak0GCIP5L2juZTJguur+/v1qtstksprPT6YBmYKzZ\nYz4tfypxK3sV8i9v83q9QMbktsTCjh4eivUkMIzFYhgdjs3R8qecHWgDIjuU+LAdSgtcmK52\nCUO3SgvHFoU2pXN2wzBOTk6Asw3dtAJvBO1AQBWoMqg2TyaTWq3m8Xik5w2FDYx4rVazdRsR\nVtL4P4QEx3EwcIlE4vDw0DAM4GmllK0H+AI14ELcXAtTy+rznAhuixeUNhZO2XKNeVS68Yeb\nAogswI6ttVm8euiahP+4PX4Ij6tcbeKG1u+XwiBFFLrzd3Z2Anool3S9Sp9nMBjEQANhDYfD\nXq9HQuPXcyre5rX1URu3yFVlczqOE4lE2Gm8AQsLuQ3bAQwyGAwoE5mmCVliNBolk0kIecRQ\n4/E4Go3e3d3Bz6OZRdTjbNtm5B17Ff17CoylUgkqRTabxSWACFMyWukhSYZrygbdeijy8IXr\n9fqnP/0pvoHYkF3q8XhAuhFEXS6XTOZe67EsQCLifrBHjDvhsoAtYFOYKuJobtlyuczn871e\nL5VKWZaFRbC0LsdyuczlcqZpYqeUHsLCXBLQZ6UnohJ1oqdKPzruQUTjZMS4oeer2rady+UY\n2YVxVNoHc4kYs8AcL3kGaPjkQvEK3y/d84I2kM1IwzRQO9fB4/EgqGTqadyYWmoMaLd6vV5A\nJ/6NlUcZEWNKEI06nfwvDsyrVeuGw2GlUlkul1wBrjlPBVAG+R8MUUllBG5GfJVMjv4aooqt\nYL/aGugNXI7jIJ1OJMVMCgmFDD2RE0OGrSG+E/b0crlMJpPtdts0TSZ6eL1eRp0yI47cme3B\n/Fm2nEeLHDm6/ZpmZTrHwuFwq9WqVqukqCh/8uVApWI1iMLwHOxYpdRisej3+7lcjrAX42i6\npp/gQkQ72HEtjlbauCUmjUQimG/5CK8H9JxGCoDX19eQAi0tXlEqlTCaq9UKCjOhn9IhpJBh\nbK24TZbg9/sRZvN4PJ1OB+NFqRaEvd/vC6zh0YIqJPhSveR1TGoqlYJNKC3atm1L3gDtjMiU\nDMmrB2wrHU2LKIdH93AK2U7geHk/HpRD4kjkszxU6/UaUiCg/M7ODhXReDwu+JXXNXvXtu1i\nsfj+++9TK4bKbWsCIrcYB+bRY+N5xXINI17qaQDy7CktJ/KWry3EsXFrPB5fXFzAkVBKgSRQ\njmPzQKjwer1E1igFX19f5/N5SXgBASFsUNZzHGcwGCDK3Gq1TNP83ve+5/f74Z8yUdA0TZjF\nSin6j9lXWC5U6pHkx3Khsm8YBvmyoSd6rNfrQqFgmibMhGAw6PV6b29vs9lsv9+/vr4m/edX\nkDN+7733zs/PS6US0+rm87nMDBUVDqlS8kPD4RBmHqVRzMFqtSoWi4xZUVqMYmdnZzgcejye\nn/zkJ4AJq9UK5oNSqtls2rYdjUYZpEKz9Xq9fvjw4cXFRTweB6lQWi8C6suHH364v7+/v79/\ncnISiUQikcg333wjoBNHQvwLksC5CPSvlGo0GkdHR9C3MaO8LRAI5HI5gG/CW/wroxTRwzP1\naBXgHTT14WJaWjV0tVr1+3005CAFMWYBVt/9/b1wDflRcHZMPE/der3Gv+J+OGwuQq/XG41G\nT548gQgojjyXy+3s7FxdXRFGGIYB5cbSYwY5BUiKiLfwtb/+9a+Pj49xDP1+H/3xP+pG+7NY\nWwO9cYvCC1EPKumz2YyQELyYsIUNQCg6nU6LxSJNDYYeR1StVgnKmJ/N22azWTab3d/fHw6H\nkChQJoKdSs9LLpfr9/vSJkeHSzqdhssBSIIA23K5LBQKgKRCzCIMv7u7y+VydJ2xOY+OjgaD\nwRdffCEgJmcBY+H8/DyXy4VCoUwmQ2yVTqeVUpgJW3dAABpgqfP5/N3dHZL/hLdYpWq1CtTO\npVBKgWk+fvw4HA4zC5HAky988eLFj3/8Y5wQCA90AlsP2SLVwCNylRzHefDgAbT0/f39RqPR\narVms1mj0eBqgIdwYFAbsXSOS4WV0qtpmmQhKPRztPAgQW84MO7ReDxGJ9qjZ+WQXTFcRuJ0\nUgfoHxSQoQz6/f54PK6UYv6Z+5AApqTeyFlbWtfp4OAAWiG0FtqUEonExcXFycnJ8+fPp9Op\nKIZPJhMEuwUrhx3E4zqfz5PJ5N3dHVRCyhJKqXA4fHt7Kxg67vbb2nObu7YGeuMWCK/SLcI0\n/hJBK6V4yqXqwnMPaRcryf5ks4lxZLd3Oh1Sznq9TjxFwssMbNLPVCoFhouJGQwGdDDLwNBI\nJAJHAjNkWVYoFKJWBhBB1IwupdIi7h6PR9TgOOxMJgPqQvBLkEXExxmh+gRxQjiF2AuhxMVi\nMYawECTSbEn8yyYPh8PQk/mVq6srWhNJLAg2i8Vis9l89913wWQwarTqwNtVuueF74SvDYT9\n7Nkzv98/GAxAnwiQiUDpxKFPZK21kt032uPxFAqFTCbDXWN+FQ8AaIkA60TKgAag1dxToYVQ\nWJOfcLSYHEC/0nwMPmJZFhxzniJsoq1nF3ABBVXnO3m6+AbuPomCZVkvXrwQuy+kQMCZtR53\ny28Rc4TD4Wq1ur+/D2okEwwItNFlxDVuI2i1NdAbuIigqdf5fL7RaESdR2kQk2Xr7luPS8xX\nqurKJdQpBToJRWFuzWazYDAIConaXDKZPD8/r1QqIuxLOEMErZQC5cSOsBtJwHkznDNM7ePH\nj58+fZpIJDhCMS7X19f0X4CEMPNbKQX1AtU6ipPuayIsCK9WzRfhY1jSqGhSAASZwZoMh0Mg\nWr/f//z58/39/aOjo2Kx+OzZs3q9DgZN20goFGJ8uG3b9Xo9FotxXgs9RUxA9n6/bxgGLnNv\nb+/p06dA4UwaY24kbG6gbTABqfGCHiDqPxgMstns0dGRSJdwkcmBcEWWZRHV8ieqoEjLmnp8\niVxh8QHD4VBAJykqCtHbcOnY4ZBWWthWyqHCShYYRMiR0G92d3cbjUan0ymXy5A74a7Qjcmb\naTgCX5bD40Ug8na7DZ8SBXBbtzXhHf9/31x/dmtroDduBQIBWpYlKqRmqLQ59ng8jUajUChQ\nPRNEkkDM0Mq/LKJXhhB2Oh2sP3rQSqlKpWLb9l/8xV90Op27u7ter0cbGwRnR8v6rFar4XAI\nXlEul6XZjAKjUgq5S1TnfT5fp9MZj8eMOOLjjuPQMp5IJHw+X7PZpHOBLBuE1LbtUqkEsOPR\nw1B4m0dPMiUtALnGpqP48eLFCwSv2fYS9k4mE/Bx3Amhcb/fJxDGJPGnWq0m/YSUPQeDgUSa\ncA+wX4jKS8H28PCQS035lN9FYpRDxavB3Rag2bbtTCaTSCTi8bgUJzH69XqddnkAAalGcJe5\n+EBettYRlRoy/4YMR7mC13l4SJXo//ZoQSvRyrC18CwFScPVsIO38OgBKDx1kD1M3UYIFsf/\nyqBhaq0gY16v98c//vHV1RXj2AGapU0cd8JPcwu2PGi1NdAbuKDHYfjIW5UubWNN1ut1Lpdr\ntVrZbNbS6mVKd4uZWgRZ7DVFvEqlgjYQlDhiOkzn6empz+d78+YNr5DMerXcGmRqpVXHMMRe\nrbzOz3W7XYxvMBi8vr7mRKjgCaMAjT1mgQtXV3J/R0v57OzsIHyM1JnSYaOjibQ06aBArTQb\n99GjR2/evIGnIQaFyHc4HHKQ6KiBGJCqC6FQKdXv9yE2UJpbr9fwnWXgkyQxPi3oLHQxVrfb\nBdZ39FwxZhJ69FzwlZ56Y+g+e9B8pTvCQWNRUu50OjgM4X44uhtQ6QHhtu46EWje0C0qSql6\nvR6NRpn/wuvgS7hDpVQ4HEbcSpBoboThEtvjFSAvqRMahtFsNilKkyKYpolDguQOeY4C4Gg0\nItpQSv3sZz9brVZ7e3vPnz+HH02rkdIK5qaeh354vwAAIABJREFUG0Cc/sfcZ38ea+ujNm4R\nr5FTi4XFQBA6oW0PdunTQ/b8fj8VJ5jLlp4y50aKo9FoNpuVFBvyr9/v/7d/+7ff//73RD1M\nJiTBx9JB9QuFQs1mE4MejUYpSNbrdUREkaNbLBYESkqpRCKBtBu0M9hUOzs7HLZSSrJ+oEZi\nRupLsVisXC7ztUopEmSuwHQ6jUajHCqUZCBvmIUcKmk7VAFwVaJIaNfAIFC/AVXAQLGkmCdb\ntyAnEgkJ5Thawli+AcaYbdvQ0egpp7Q1GAxqtRrXAQ4ZfDVAAAoAnU4nkUjQ1UkgCRjiOE6n\n04nFYkAEqFjACfF4PExQZKQkkoHNZlOssNJjCZVu2xOoPRwO5/N5Gpo47N3d3VarhWWnUdCj\nFfeN/7m4CCRw2G4eJBzYbDbjxEGfYDSenZ1Rh0Stn6SkVCpRRAESGY1GEOpp4pdfp4V9a6DV\n1kBv4OK5lAoetkC6pdl+yCYIAG1ZVkCPvlZacYawzq/HPJum2e12b29v17oZWung9Pnz5/f3\n93wJwN94PEYMxNZzpCj4JJPJk5MT9Pbu7u6CwSDN3BwYxTo2PHEZdgQTxj6npZiY2p0c0KEg\nNUYidLGJLIxFoVDgEtGFgbAROMnaJY0WCARI4bkIAAhSuJNmbuLlRCIhyiHExZTXiPuE70Fi\nARdtZ2eH7wFIabfbs9kMAp9SKp/Pn52dwXvhALxaL4n8HYcaj8ex4Pw0mcF0Oj0+PsYd4nqR\nKgQEAKTCGvp8vsvLSwS7uVYCSgijhofKtu1ms3lxcUGnJbBvv99nEDusD3hBthYYcJtpEA+l\nFNeNK0BDIBKs+/v7OAn8VrvdbrVaBN1ePQmTuAG1cU4NiIP2VJigHDO5BTDOW762etAbt37+\n85+32+1+v+9oeYpqtSopp0wsJYqUnUO8THiCYhnMimAwiBonfGRbzyVqtVrJZHKt5TgCgQCa\nOxcXF3t7e1gQ7DhhHeU7wzDQSSC4ns/n0PukroX1n8/njUbj/fffxzZxPMPhsNPppFIpAByO\nEOtgWVahUKjX6wcHB6jZzedzmBLr9bpcLl9dXYGozmazTCaDjCrRtJDDEH6Lx+PT6ZSwlEBY\n6eB3vV5/9tln2EdENWezGUAznDzCPXgXwEFKcwGlusUJQrqgkZIBetPptNvtYlVt2z4+Pj46\nOppMJvyJhjqBgz0ez8HBQbVa/eEPf7harXC3GFPcA1i5MB8cPXOAHn3hsXBx8vn8zc0NEbc8\nRcFgMBqNJhKJV69epVIpSN9evd68ebO3t2drdT2uEl8IZAGaLIfUarWYZdxqtYRjYxhGIpGg\naR7nAb0EKSiqtVKTHA6HSNQiG+BozVUeUTqh6KSHdjmfz0ul0mefffYt775NW1sMeuOWx+OB\nm4zEVzabrVarwJGO45AtIucPZMkGwOoJiCxbC5UyYmpCSPZGoVCAm2Xoqdt+vz+dTn/00Uev\nX79OpVLE5kTrSqlQKATn2tINjRSIRKXMtm0RvUyn07FYrF6vU4BinZychMPh8/Nz9I7hURFf\nO47z+vXrYrGodNsLfSVKqWg0en5+nkqlMJdKqdVq9ejRo9vb252dnXq9jlYnF4cqaDAYBHAn\nc7e1itvp6WmtVjs+PrYsi0EEdKaYWoSk3++jyyy1zbUeDuvVc0NgXyQSiW63S58etikYDHIL\nPB5PKpVCSpseHI/H0263wRaorQWDwWfPngFAz+fzQqHAQXKpA4FApVIBMlJKUZHDvzYajXQ6\nDVYD77tery8Wi0wmwxQYeYpoSHn58iX60QAvlIsNw3jnnXdgqoiDhGCHBCj0beH/KKXK5fJ4\nPK7X65lMhm5GmqT6/b4omgpLjzGDMmOBe7q3txcIBIRb4miZFOqWSilmzEPEdHTv6Lex3zZ7\nbSGOjVsU1niCd3Z22u22jKDnT+xzSKP0sMCXENlGR1OGvV4vPcRrrVPh6GZoGp15HWzk9PT0\nxz/+MSZmMBigMwcCAPBqmiZaE6TJfA+iDRS4pOy+WCx6vR7kE0ePaJrNZgghcRZgwR6t7cDp\ndDodrK3X602lUviJRCJB/LXSqsSFQiEQCFSrVbIEIcwK+QH2njDGuCCM7Wi320yeRaWkXq8D\nkmDEkbUj4iMxp+YG6MFEKC41vG8gFJIJxpRwbT/66CNDj151tP4G/8afRSIROIjSWwTrfDAY\nMA4GBrGcBXkMFpbDwFWjULjS0nRcfAHHkBmR20dCQz8hIBLHA0zcarWk6KdcLddgOIZhPHjw\noFwuM7qB98jsK1vLnELKlMZIAVva7Tb8DcMwTk5O/vIv/5KUyKvHCzh64jiJoEhHveVrG0Fv\n3JJnmkycoEk6Yr16GB04ACkkG8PSQhZK47bYHT4o4YzSU59J1UE55vP58+fPsYOxWOzi4oLg\nPRQKYXyJa0BdfS5pY2pQoCUYAnasdEYoF3BJcX8wGBCjofHk1RogjuP0+312KSCvUgpJ0rVW\nU3M0aTqdTr969Qorv9bN05y1uCLb1RtCsAYBhosZi8UIPGmR6Pf7MKmTyWStVkPgDeiGkzUM\no91uw/LmeKSXBDON9SHAPDk5ubq6gg8jNAy5s9ws4mXACqUrB+47JYQ8YeZw4yaTSSaTQW/W\n0TJySjM9qADbul8JdwKWLd/P4ppzmgDuwL6E0u54nNVqtSqVCoVZjDuuV/5taKoJjBH8BD8a\niURkjuXvf/97WJikgO4f4oE0TXNroFlbA71xi8TfcZyjoyMMpWhBYAukesPWIgqGktxoNAD+\n4G8wmkj4rQIIEnwZhpFKpdiNyDL0ej24zKlUSna7R6tRE+hJGE6ATzSdTCaj0Wij0aCnhlKY\nqQWDsAJKY8GgwICYHNV6vd7f3+/3+yDmWAdTS5FAlaOIBGTZ6/WY3Aq9Lx6PMwsVF0UPiwAv\nSls6upMNTYlhKpVQu9Z6pmqtVrMsi+Ad009IiI6+crWbC8EO+CgcDg8Gg0wmE4lE0NE2DCMc\nDsODFoNo6Ab0TCZDpE/Wjz/mlMfjsQShjm7xkJuITVSuZiWeHNrwRFOJnmzyAKg7yqWv5NGL\nDANmGw8GJQf5Wuf/TEvh1w3DQOREwGtH8+4JsSnJUj7Bndt6pAsv4uH4FR6V3d3deDxeLBaX\nWz1opdTWQG/gkvz0xYsXhUKB+Um2Fjtmt2B8hbRgWdbd3V2z2cT2SdsCbAfHxZ819JQs8vpu\nt4tQWS6X6/V6DCRlFxE407HNJpcllFXoDV6vl1muAA6OqzMQEyBcNP5LJwIcaj4eCARqtZq0\nC2PshCtG6E0PCPOtmT2aSqVqtRp/5VeoUkotVGkOHwtZS0Hnya+x5o1Gg8uFGpTjOEjpw2mj\n25B+Fih9uDrpl8PWEH7CZcT0cImi0Wi9Xuc2Ga5J6qlUCmRfaDacI2+T4N12LaWJ2DgPCbGV\nlu7DoXKDxLJTBJZRrXy58DQk5+B+QVHnRXf+wQUEe8HsyvMg9Dj5IHK4YD68whzF3d3dUCgk\nYrCkZXL8tm0jGtNqtUDD/8hb7c9gbX3Uxi1CJESRoCQbhtHtdrvdLhPe2HjS4sF/d3d3GbYt\nBDvQYb6Tt0lPGshyt9v96KOP/v7v/z4ajdIVIkpmfBaklb3E9GuhV6ODvFgsaD/xeDwQgSUu\nYy4GTdsQhzlyoaYR8kMlXq/X5Oz8Lm+WbmlGqMj1AZ7mwIA4iA2FFIi4nela2JfT01Ourd/v\n73Q6q9Xq9PTUcZxut4tvoOq1Xq/39vaQggMQx7Lk83nMUyQSATQQKkK1WqXbm9QBufpwOAxd\njM49pUNdoPzFYnF0dIRVVRoAEfIZpEleF4VCuA2g1VJpMLQYi2AgVPzwTKRQvFkMOvVGUh9L\nNzoxb6zb7QLLuB9IDlKA+EAgAOQF95lCKzJecPCVUuD7GH25fbZtMxySpBBrLg8Szx70c6WF\nZP+Y++zPY20N9MYtAAFMra0V6EulEhLG7oRXdqlSihIc9X1iOkIVWgn4WpmlxPdDPoUoZuie\nFNLt3d1dAZr5rDQfWlrNksS50WjQOC4BIwYxnU5DChZ1JI5W7DhiOvJXUYCjCIkZhVQLQZvT\nxHyj707o7biYvxgpvtnUzX4k1B6PZ39/39BUMwATYmrp23QcB0yccVbo1SmlbNseDAbVapUL\nBRQgDtIwjEqlIqn67u4uknh0ysH7pjRq67YjLNHe3p6pOzZ5XU6Zn+ALKcdJqZBb4MadJXpl\n4aiWegCVeC8eG0MTLjH93C/TNFOpFINd/tfisnh1379hGIyGgPPjaOklkp5MJgOskUgkOOtY\nLIb8Ft/DhBrDpUaw1sLfBA2hUIj+WEHk3/K1hTg2btEQSCeVoMwYymw2axgGzDZTN03wKZpH\nBKR2HOfly5cIUyilAB/YYMVicbVaffnll/v7+zc3N7VajfQTc1YqlRgIwmdhrXm93mq1CunY\np5WCsXpk04JvYvXgeEi8TOp6enpaKpX+4z/+Y29vD7JXPp+HpgKMQA/hYDAAtHV0A0uxWPz6\n668J1aGRRCKRf/qnf8pms0opyonQlvkI8vwEktiLVCqFKGAikZjP5+12+wc/+MF//ud/drvd\n/f19LpSgGfRGLpfLRqMB+ID+tVer1AtEi2bQdDqNx+OE/JlMhsa/bDbbbDar1SpHi0SUrXsO\ng8Hgo0ePHMe5vb1FeASqjOQ3zWaTKBW4QBoRx+Px3d0ds8dMPZaQg+RMxQTzqfv7+3w+T8bD\n+9vtNgQ7JsxKWI2832QyOTs7u76+hgetlKIcfXNzg6ITpwmTxO/3n52d/fu//zv6KtQGMKyd\nTgcB28FgAK0b31Ov14HmAJR4ckhT6DlSSlmWxeUVCZq3eW0N9MYtdOOELyH4gNIzVrBE7GfH\ncRBFy+fz5KeotoNUxuNxYlu6QojKx+Px/f39yclJo9Egbl2v1+PxOJVKBYNBDAqcVnJtzNZs\nNgMHgOEnx7C3t9dut8WeEpetVqvLy0v6eiFlE5aen5+fnp6ix2SaJnr/pMZKqWg0ulwum81m\nPB53j6p78+YN3e2YDMJ8mTHKPpfdDnGbvEHi01wuVy6X0Q8iKP7888/Pzs5ubm4sy3rw4MHl\n5WWhUIC2zMAUpHwQlgLKJxsgyobZttKCf/F4/Fe/+hUUYBFRqdfr8Xg8FApRdQRTln7CQqHw\nm9/8plgs0lgEh08MtNfrJRkiIZBqHq3w3W6X8WBKz+SWPkNH128ty6LYS64DTuI4DuMdotEo\nvS08cqZpMtx9b2/v1atXuGd3Xffw8LDdbktStV6voWleXl6+//77rVbLMAyQHAJn2qDoYAK7\noOyZzWY7nY6A7D6fjzurlBqNRgwU9uhBiPl8/lvcdhu6tp2EG7e+/PJLAi5CVPmvRHBSloGq\n4fF4QqEQnAQCIojSWHOGFgqpjg1MzY3Adjgcwi3b29s7PT1FHsHR1ALhkIEIO5qWSxEMAFHK\nbkozHBzHoUWFZNbUCjiJRAI8l28j9GOcHdogsjnr9TrlOKJ44jKi9SdPniil0EWaTqdoy9Hn\nzeIYqKQBF5TL5e9+97uox4H/0ibOXxuNBuZDSpqhUIiqIPkKWtjcHagLhh5BCzqBMNByuWy3\n2w8ePDg5OWHgLIhqs9lEMBo0FjtYKpWUUvBnZLKJqSc08nP4G7SllsvlcDh0tCA1/zD+5zxc\nOULl4tIRnpMTSDaD1RbACpoKfZXwoAHryduUHmEs36x0tZmAACI8X0iWtl6vhajnaLYfVQ2I\nMRzVeDwOBoPVahXRQVOLfYPzZDIZ7vXbvLYR9MYtoSKxVx0X2589gIm0LIum5H6/3+12Z7MZ\ndGmvSwmT6BvkWvYVMKt8G+Y7HA4Xi8WDg4N2u/3y5UvTNKW/A4NLH4qt+545JKhUsnU5Nv5E\nSi7MAenEY/vxKSaD2FqpgxBvNpsdHh7mcrl2u62UwqjRt4ZZ2d/fr1arDx8+RH/OqwewikuT\nw8DUArB+8MEHRKlCUyHMFH4YTsJxnNFolE6n8Qfr9ZqKH+9RutxqaFkisHKY45ZlMV4gl8t1\nOh28hUDAgrfatp3NZqPR6O3t7WKx4MIaetSk0rxgShEQB3GWw+Ewm82iZsXdgbED0uU+PLkX\nAFwydIris2EYqMKSlPBZAbUBMagiClLsfj4x1uKfqHb8L8j4/2PvPJYjy66rfa7JBBLpvUHC\nFFC2u9n0zWIEmxJHCirIJ9BQD6BH0BtorBmfQRpppmiJVNOrog27ywEo2PQemUBm3nv/wRd7\nx63W9O9idlSeQQUKSHPd2WbttdcG46L6Z4uAH8+tdiriSk9OTkhQfN+n60rJ9WuIw6wN9Aou\nTBuDLUxI+cgYQ0AEjun7PhwJNioinCZEqmMDEGM6jqPKpdjTICSGQEjY6XSur6/pImFSLcm1\n1hXJwYlMNzc3m81mrVZjgCxHDsnPGGPbNoo5UDW0KKSEKobCcLJ37tzp9XoEYhg1JoVjF6AG\nw8qIRCKI5EUiEQa2KrBuCbuZ/MCS3jxwHppTbm9vGT9I1FwsFsGdC4XC5eUlLDcNErUSq7xj\njcqJZ0E8sJ5o78Visf39/UwmAzWYCq3GpxQPka8j5Odyzedzhg0aIQUGwjsm5OTEW63WgwcP\n0BXisJkmU61WUQKADIMbIMoG9fZlAvqDBw8+++wzXJ1SHvkhkF5HhumQG+kvyS0s4VQEQQDV\nJ1wC4fo7jsMoNaq4lHNvbm7Q78Yrw+jwpMEKh80X0VNjjLlz587x8TFg1Fu+1gZ65VYkEqFZ\ni/ATm6WlfAJkrC2RFCaA9gTdRWqjYcIRSvuhEVnER5FIBFXPaDTKiG4YFPl8nrlQysQg6mGP\nUQvCOpvX2yU05Mc8gT9AKsB2KwijQGS5XCY8dEWImdReQ29dWFtcDlYGNoIVkmNVhi/NPvTB\nl0olSlsMWzHGVCqVfr+PMWJeNbCvkeFYvih4aIyPIyTupgdS2yCpkoHtgodYMhpKKYmHh4co\nbCBVoRRAVfzQIqGCUdhBbtndu3cVBd7a2kokElyHy8vLbDbLZEJLJpprGqG0Ft/3nz17Vi6X\nUazWREdbNBWPAmLWexpOHaxQuwpXOwjNM2TlcjkoHEsZ9M713NraYsaCI+rVHBsCSSY0Umc2\nmyWTSbz4m915q7jWBnrl1ng8RvKYtDeZTKLvZYQmcXZ2BktajVE8Ho9GoygvEw4bafyzRb9Y\ngyAQhouLC0acLJfLXq83nU7L5XI6ncaggIQQsRI+Z7NZ2B2EnP1+H50jqvmpVAq+WpgThhKF\n9/pIAZTnqKTRm0e/THgyN1sXg06VslQqXVxckJs/f/4cPkYkElE3hmkmXru6uqrVasvlst1u\nZzKZ+/fvQyDTfhBgVnrNjTG2tKjgMLDFtm33+/1isYih4fpjjjlC4mJeb1kWKEe9Xtf6LXdT\nkVywfsgVYAI4Lf1k/K4xhgqBF+oYDIIA1Qs+XNkaqhYNg8KVjn9fuNLFYpEBZph1MHE4GOBj\nRsqARNydTofEgoPHvHJgKOsrUmGJrggWnEO1RXLWdV0eLUgmXC7XdZPJZK/XA1ACAeeuGWN6\nvd69e/dub2/RusIJvbldt6prbaBXbhFBYN3o4KC2ZoxxHGc2m0G06nQ6GFzYzYVCAWtOMEWu\naiSwxbJohMWQaWbHYXxRGmMWlC9CCmSdWId8Pv/q1Su2Oi0z2gCtLQaQvbCzgbRgaPwVSLMM\nKIqRWAz2CI0taqADoWBjoIvFIpNcMplMoVDggGHdaQ6OwYUVkEqlkFKi+Lmzs9Nutz2ZRYKR\nxfoEMgCbhJoCGjDreDyu1WoKCFiiZM8RUlWD0AKt4vvf/z4gxmg0skLLFr1/wnluxMbGRr/f\n39nZGY1GnghGE0viUBkBrAc8HA4ZaKAXM3xttala/4SNDrf5cCIcD9AKQLwSPyKRCEFuGHT2\nZPqMQuTEv7SDkiLwgC1kXgzJB8wcrrCmI7FYDAah1jBxDMaY8Xisc777/f5asJ+1ZnGs3PI8\nDynkeDyeyWSwDrCgGGUSi8UYQgHamM/nM5lMp9MhbKToVCqVgiAgeafrhPILHRCTyWQ4HOZy\nORq65vP5dDrtdruUtnK5HHAw2ehgMGi325PJpFqt8glY7ZubG8ajaJ7L8fCNiAJrgQtzPxwO\nLcvS+dBg6CTyvV5vb28PMmw+n0dwjmOzLIv5Tz/72c/ee++973//+++8887777+fz+efPHli\njPF9H3AW8OHw8HA+n5fL5e9973u1Wk3JA9CKVaHCGFMsFiORCJMYMQ2QCI0xvV7vyZMnf/M3\nf8OAXUp2wPR8oFq6IAiq1eru7q7v+5BPQJaWy2Wz2Tw9PZ1MJnfu3Mnn8z/4wQ8wxCQrl5eX\nEN0wbcYYZoZVKhUaLAGgtRTBWTghSUIuJsNuGL6u9WSIyblc7vj4GFtP8JtKpYrF4ng81sIs\n8T58Ht/3M5kMiQV/VUErbjG/4SmCA87AAc0A4BFub2+fnp5yFnaoL5EZBZbMHrQsazAYNBqN\nfr8PPZ+XUSZ9/Pjx+++//wZ33iou6ysl2vX6q69/+Zd/6XQ67777bhAEiUSCuZ/EI2wJzCvy\nm+ylVqtVrVbH4zEhLfEdYAKxFZgJ3DgsVLFYbLVa2sLr+z5YiuM4n3/+uU77BsZlM0Pai0aj\nfBHROogKW1enzBF087EKg9TrdW2voMTE61U0+fT09Pr6mh4K1bGMRCIvX75Eifgf//EfP//8\nc5RCEY9/9eoVoxTb7fZgMMDAUX/b2tr6yU9+QhdyJpOpVCrNZpMwGYaffjiQ69nZGYiwtoT8\n/Oc/x8oYobLgt1AiJWnA+mgLDNaZLGE2m+XzeUxbt9vlMx0RTuKvr169ymaz/X6faBFMn5gX\n4Ah8gKsB0RtRb8Xo9cAYFGlC8bUxptFo7O7uQuMBECNFIN9yQ635vCWRSDCy1ghdT1EdX1qZ\ncO14YqJ+MAqoRxcXF5wsPHoqCkpoUSIQb9cMjEsEcEdM7bruhx9++M///M9vcuut4FpH0Cu3\nTk5Oer2eMebs7Ozly5fD4RAVUJgVgLNa4nNd9+Li4uHDhyT7ymYDVNWRfdhQOo8BLtif7BzF\nfMfjMXJ0tijJGWNoKnNlWhUqQhSv6KCzpI2bL0KWIQhJQ4AhUFXD0NgihQqKSqcGnXj3799n\n5h7jSPr9vm3bEFG2t7dhjDGai1yYWH48HmM1vvWtb2Wz2VqtRiMyc1GhghCtk0lQ6wMY9X1f\nW7dt204mk59//nm5XL65ualUKpgVwklEmYFWptMp9Lu9vT2d/eqL2h+dMs1mkyKY67qAQvQf\ncbQkQ6ropigKxU+QE6oCPBiBDAXWL1Imhgp36CtBYLhl4YKhds8rx5nbzcuw/vzeCvGpTUgz\nj7usf3VDTa0qEsINBZFTRh0Hj99NJpNKleGqgowphT8IgsePH//gBz/4+jfcSq81Br1yC8NB\niIo2caPRYHvQD02MTFxzc3Pz3e9+t9lsMndZ+2iN6DBkMhmKh+wleiKc0BxotQ6uCEwrfUrp\nZTAogIMZ90kNkLdrWU+Jce12W4uTYd40nY36X2V0QJjjjWdnZybE2OO8ACgsaT9TUtpkMlE+\nGaKj9NpAA2BmippjAFMaFwHih8MhBgWYFfM9HA7v3r37/PnzSqWCX/GF4euJNr+yOCKRCEgR\nOAAxOBlPIpHI5XKBNO+B+3NJd3d3obgQjAeir8K9UOu5sbFBvU7Lm0Zqv74oDupjE0gnpy+j\n0QBJKNuGecpcRk8kAcIPnqLt+kvulL6X+6U0jKiMo7SFVE58gFcGSFHg2xIVPTB6fTtf95Xr\nHIhE7Vu+1hH0yi3w5VQq5YgmMrgeUDLxCxE0zz0BGgwBzCgPOm3cajTj8Xg2m61Wq5hXnWzP\nn4isN2RBxB4MBnDgCJGMkA0U+iDwBLbW7Y2MWa/Xa7fbIOkIZbgyUiSQdkRN2wkzUdIBdudb\nONOliASl02mYxfV6vdVq3d7e0oTW7/ehgRcKhY2NjcFgMBwOW61WqVQCP2HzAx8bMTrqOUhE\nIOER8dFQh7LzbDZT1hrpRTwe73a75BBM+VJomCNkXCGwOy6TIFHpdED/OFSNHCOyEJlTh2SL\nKL7qZ1kh3SWttvHwqMENRPJQ06NYLAbh0pO2Q/0EaC3KhFlK47h5HTAJG24jEX0goxv4lwp2\nEARYZ9u2KQ/4MosWkIeHB5cPWKSpm2VZd+/e3d/fr9Vq3/ve997EllvhtY6gV24RxubzeVp7\neXzJc9l1ykbwhbWqtmA0GlENp5U5mUySs2OJmOc0Go1UDxrShZGivy+dY/xweHjY6/VgAmBb\ntT8b26qTsDFkJLmKR3NURGrKCNSA0YiBgHeBScrlcvBh9ZRVYsIYQ/ew67rPnj2r1+vdbpeA\n9/r6ulqttlotiIPYEdr5Njc3dUgVtU0/1PVjjCF453SIjon6WSoLFcbT2+02HgU+GZC32utm\ns0kbzmKxgParCCzNe4Hw8CjxoZ3CefEAWJbFoYJ0EwsDAmDy9K+KHRuxnl8pKWlsTozPBafV\nfnNzkxEzigsrtqABsgkF5hq/88kcMGi4LSr+nueh2qHJFraYMEJDislkMhgM9vb2eOSI8Xk9\nj9P5+Xmr1crn81/rRvtGrLXc6MotcAnwTVckNQjBbm5uEHUzxmD1gIYJlsFbE4lEtVrFuvm+\nD1EskUhks1niStd14bpWq1UaK0A89/f3ASi3trboBAuCIJVKUXBTUipxFlgqDDnLssbjMeih\n8nbhViNNB+iJFj5pPuA4r9e8mCBLC2IKqY9GIwqY4/EYWBNOHm9nDgt4axAESDAbYzhrXzo+\nMEZWaIbLQsaDobYRj8epEBLeWpZ1eXlZKpW4OIT/wCC4okCaOAjGUVDCYmINFyLcChsP0oIr\njfh87/HxMe6HFruoLCP9MkaQHO41dp+GHbqNoMd1Oh14mUqZ8EUaG7q6osaZTAYAHecKTjKd\nTsHE4/E4f+V8XVk8YCZkr3EedLSqv8FPl7q9AAAgAElEQVSRwIhXwjhXz5YJYfgGtPrg1U0m\nk8lkgo+/ubm5vLzs9/ulUqlYLL7hrbeCa22gV24RNBFZQGo2UslxXZfwxJJ5V7QCAmtQDUNA\nHfTTcZxCoeA4DoW4arX64MGDQqEAxQJhh1QqlUgk4vF4tVrFQGPxaQGnHIfcZRBS88GQYSCw\nSqlUinCePazyQ1T/SP8rlQpB9HA4vLq6omYYCEuPII6WxYjoFGMLsNeDwcAYo82TvJdU2vd9\nwljoZXp9COopOQZCEPZk7AD5daFQuLm52dnZGQwGalaMMUyw5WOpZS0WC7qre72eJgG+KNkD\n5hiZww3jBZuOFFTYgAZBsLOz8+6771oiYwKxgZul8KsePxbWESHvfr9P4Mml06FlGkFzVIxZ\nICLmrgEHcS5GAmFKzfl8XqnfgZCjeUH4sPXzuS/0+zmiH6JutVAoMAiY5u9lSMQKo4yBXi6X\neAuC7mw2WywWc7kc88K/3p32TVhrDHrl1vPnz//nf/7Htm2oY8wNUvCxWq2+ePGCwAf+8mg0\n6vV6RNBw7zCCjOAjPmJA58HBwdbW1oMHD374wx++9957f/nLX2jHAHdG5g1lCV8EjMCI9/b2\niLbS6TRhKTTY4XC4s7ODZjT8tnQ6jQ+whO+s/OKlDASgNBQuA5J0E1xPp1OOhLAangNsQkwM\n3iUqU1FogMaagypQ39P5L8YY/BYYdL/fH41GJCWU+wg/kfcbDAa+7zMWcn9/nxiZyA5pIRVd\nA1CqVqvMWEkmk5eXl8YYqBr4V0zt+fk5kMhC1mQyGY1GKGwQF3N4vV5vMplcXFwUi8XBYAAM\nRU8p076XyyWN3Qouzefz2WxWKpXOz8+5KVxDDPrR0dG9e/eWoh3KDwBojDej2LtcLplOCdeb\nT769veWQ2u32/v4+A9WMQM+JRCKdTit2hB8F6J9MJmpwuVabm5vFYrFWqxljoOXgSoMgKBaL\n9+7d29/f//TTT2u1GupRhALf/va3v/Od7/wVd+IqrDUGvXLr5OQEuwNYrIxgY4xlWU+ePCkW\nixgsMFOS4mw2i9KuJ+M2+v0+XVu1Wg2II5PJgBWgePDw4cPj42Pf9wlajTH0ubXbbapJhMOu\n67548YIBTkAf7D3MX6/X297e7vV68/n8l7/85W9/+9tSqXR0dLS7u8sE216vB12at/BeEFtj\nDCEw/OhKpQKVkAobBAY2ORUzY4yOxcKMapTNX6EJ1mq1q6sr6IBEgurhaHQeDofb29vIenC5\nULQolUpnZ2da3/M8r9PpZLPZo6MjrgwIda/Xs217NpsRX8ODHI/H8Xj85OTEsixlDfd6vVar\ndffuXdBwjh8PGovFTk9Pi8UiAEK/349EIowg2N7eRqwZ2IfcKJ1O37lz5/r6moLbUmao84J+\nv0+vPLce/nsQBGj+aQYAFLNYLAaDAV3sQRDAPedx4sM173EcJ5PJRCKRZ8+eVSoVCJfE151O\nZ7FYpFIpVJvDmtSWZeVyOe6pMQbzfXNzMxqNgI9wMNj358+fU8h99OjRcDgEd8Y9gM6/5Wvd\nqLJy61e/+tV//ud/ApgaEVPnZxDYhcxsJfecTqcYDktGH4Wr7aCrhUKByR2O42Bqu91uv983\nxvBpgBjsZDBlsEtyed35WitzHIdWESa5MKLbtm2IaySw7XabAlcymQR24IA5DIzUUnRCMKbK\nEQTYNcb4vp/NZhnNNZlMdnZ2mDgeiUSYefj73/9+sVhQjzIyGdYYA6oDyky0rtixeZ3tgMsh\n+vvoo4+gHvMV0Wh0f38ff0Z3T7fbNcaoZczn84H08nBerVYLe0SFFoSBu4NBVFSHC8JhkLsA\nO9CqfnFxUSqV6DPyRLwJr+nLfMKozCGzLEtZj+DCeqn1X24oLlzpQCyCbmSe/q9BCKSxyBV1\nU1vozDqNgdREO1P0afFEsYv/QmWhoJJKpQaDgY564GMjMvC7UCj8/Oc//4d/+Ieva5t9Q9Y6\ngl65ZVnWZDJBPygi4znUWGMusWIq40B8uhT9/jDX2BijDAq6w2EB09ycyWTIKDc2NpLJJFEn\nmOZsNjs+Pt7f3x8MBohP+r6v8hfxeBwYASyFAI3s+OLiYrlc7u7uAnoQCMPl8ERxLRDpO+VQ\neyLiDNaB4TbGRCKRo6MjrT2q1aY2BYtA5UlxLdj9MCC+FFV72OWbm5ucIHaTmVulUgl+GAYO\nsl23200mk4eHh5wFQ1JUZQ2AGCDCERHXzc1NjLgaZQ6YgFfZGpYIyGF/9dZzl7vdLjARKATn\ni4HTCQnwIrCJQEY8DAxgNSJCzQ2FcRGerqBeHEwf5IGEyZJR319BtLXlnU8zxuAClcihhxqu\n+uJUlPMHVkYiwqWIyGx4xa89z8vlcvRwvuVrbaBXbgUyLAOcLhqN0i9nRGABPsZoNCJ5xMY5\nohbENJBerwdi6LouhIeFKMcDF7Bpe71eo9GAkUauvbu7a0vbCPwBIy0MvAVQuF6vg3fDKkFg\n6PDwcLFYMHiQOYeEnP1+H452qVRS1hq1LzUiJM6VSuX8/FwHy/LV8Py0kRLKNv0yJOzUJzF2\nBIPI8UA0hnKrutXAINoSQnURngnjvQG1uRdYSYyX67pBENBaomZuKRNnFE6hoMfwp8lkAsKr\nFV1tGMGl6c/8oD5JP58LFY1Gr66u8vk8JhjTmc1mA5GR29nZ+eSTT6BGhJ8lvpd6L94UNYxw\n5RkOTCaT4ZKqF9QXGFFApLmGUxiPx9lstt1uM6QGiwzzJwhNSgyCAG47ve++9EaRGFmhMQUk\nLjxIu7u73LKve6+t/lob6FVcyswlPLRtGzwObkA8Hu90OuPxmBBbrYM2+7GTHdFeiMVikHbZ\nZux5YwxpLyZ4a2trMBggOQ98oWVDLQRhpJLJ5O9//3s8BBRXBp0YYz777LN+v1+pVGhvicfj\nxWJxNBrR70d0qTgmh0Hkq9X/s7OzTCajLsSIfjQ47MbGRqlU6vV6hLrUSNn8INFKqotGoxT9\nHOnr0c+hI8NIgPmVfB8ZPOw1oBA0AyUj8xacH1Gw0pNp17QsCzIMXIVcLmdk9gqcBxV446gs\nkT0ywoUAQFBRU6h1xhiIgMpWtizr9vYW/dKnT58Wi0WtJ3N5fZkwwPWBjjIYDNLpNEU8vmsy\nmVCHVNajH5Lu4y50u93r6+t6vW6E/0eiUCgUmGvjiMBA+MJioKmvkhuF/QdumDzGSNskkA5N\n9kvpcX+b15rFsXLro48+Ojk5ubq6wigsFotmswnKgbzD1dWVMQY4IoxmKHfVEwlmRQwgDpsQ\nR42+DFR+Tk5OAumpg5wAbZlJWo5MYyFnD4KAUmG73d7e3u50OopdDodD8GJCUfM6bdYYA901\nCE39cBwHiEbVRZRtxrfn8/nZbIZilFJ6GUry6tWrra0t6lrYss3NzbOzsw8//PD4+JiiHHG0\nEdunUIklTGQ4Ia50t+PJ0AAh0oTfzYWdy0KSTdXa1DeoTaG6qHg3vftQ/bROwFlrsGwLP1rt\nvi06pQSeWF4gLFtGbvP7yWQCrQV0xRiDVIgjwqpab8SXzGYzqCbhugWfqU1JvB5CHriQEX9p\nizbLl19+ee/ePfAfvCwtr+gl6ZUHEiFToQnTGEO8r5OIOWweBriPKLh+3dttxdeaB71yi22M\neKYxhsiRAJPgRY2CF2r/9aXZl8KUxjJEduxeupApuHkyjm9jY+Phw4eU1EejEaQ9KnJ0FsDk\noxBHITGdTk8mkwcPHhCyoWaJTshwOARmQeSMqaCEfpQNv4JpGGOAL9QeYVLn83m1Wq1Wq5PJ\nRJNi7AVxlmVZo9GI2I2Ovq2trV6vl8/nP/300+3tbY2XNbM24jA4d6I5hEq0qAWNbz6fK+ea\ntZTRhZwIVlvncAcyb1C51eVyud/vw23Q4ieH7ctwSJUlUhfL0leGDSXW3AqJWkREQtZ1Xe54\nNpvd2dmhVDsejxlMDg0ZrjH1AzIPI6ZfAX1jDBmD1vcAkXh+cNJ4Sr2GEZFyxeUbGdiGs9QS\npeM40+m03W4bcSqWZWWzWcTzdnd3d3d3gemYZsBwwq/ANW/nWkfQK7c+/vjjX//616g6YO8s\nyzo9Pe33+0wmTafTmUyGdglEGkejUavV2t/fZ9AJM+tIgQeDAXwyJVGge0Dslk6nLy4uiKQA\neTHZRJGDwQDIlbIY5ni5XDYaDbRGHcfZ2tq6c+eOMWY0GuVyuUqlkkqlUFsnGYdTjFgHKPNo\nNEqlUoROvu9jjCIy34Q43bIs2Cnz+fzq6gqgU+NNOAwMdrm+viaCw355nre7u6vlQUB8wlt6\nHywZmwI/t16vp1IpFOJBYxm/u7OzA/hL55uRbnhjDDAOPGuNhWnnQQZIz2U6nUKVCYuv+tJP\nrwPD/NDARn4Gn9G3BNLx77ouQrIMXycL8X2/VCohmGWMgQuBmkqlUhkMBvhsJGQx8bSQYIjx\nQMjYnp6elstlPApRLSFtq9UCVbdDHSscMH2brsgoDgaDVqt1796909NTGBp8C5YXmrbi9dyv\ns7OzRqPBUAWKh2B3uVzugw8+eKN7b/XWGoNeuQVrONyvQXBkjKnVavP5vNlsnp+f01us0pH1\nev0Pf/hDNpsFxYPJkEqlgDJBgYE+6EeADIttQvOI8iNkWCPoJNQ0pnBpq95gMCgUCoSQ5XKZ\ngs/p6Sl8BipFjUaD7Jg2GV90OF++fLm/v48usyYH8CuMMW5oDilFfH7D/EDQWJrTKH4mEolO\np6O2jHhtMBhsb2+rCDKfAC7MRJJwtnF5edlsNh8/fnx1deV5HnYWuvT5+fnjx4/xbZ4odtq2\n/eDBg8vLSyREoJHQyWJJY7ctmnZMIMSdKBKiN1oRKkVCwu3UunzRjSOodByHq8GMriAIqJ3q\ndC5jDKXjxWJxfn5OYVaRcVAI+ly0RKnfWC6XG40GQ82XMrEBiguaXCZUxOb1CKsq96NcLsdi\nsRcvXhQKBWSz+EbVEuE2gXqh18iz3Wg0crkcV29rawsO5de1x745a22gV245jkNrLDaaunmn\n0zHGKD6LbgObk8T87OyMQaKz2axSqaBwz/S/sGSlZVnNZhN01bZtGse1YSEIAqywkU2OyaCU\nB5zCi58/fw7DGusMHU0pdOxVZZVhVrQ/ezgckp4T0HU6ne3t7TBQoxvYSBquoqOY8uFwCO1X\nLYsnsqhU1cKmBzOtNC+UsonEsR07Ozu9Xg/fc3JycnZ2trOz47ru7u5ut9ulaKlwsLLCw7fM\nlql9s9msXq8/f/5cFevDBEEKuWqUg5DOUdhS+yKdoYY7CPELjaBYW1tbzEDhQ0iecMPGmPl8\nnkgkkAa0LIsR4IAnGrkHIekoI6WCjY0N3Ik+b5SaFZtayrRJoJUw58SSJp1UKqV/ajab29vb\nOI/wWXueh/oVb7+5uaE3xxgDvqTA9Nu81pdg5ZbSXRGR0Zq4kSCL+IUWaks67hzHgXjnuu7L\nly8RKcaUg+Wx4SkM6nxllBmIXrXMZb8uE0zwS0iI5U2lUmTcbCRIV6gpKezIblRc1ci08uVy\nqawszqVcLmM7HFH11LfoAQCeUulSAY2wRoT2gIAIKTRMearb7dbr9cFgAP5A7GmMwcRAL8Mr\n1Ov1g4ODi4sLEhQ4eZgbT0aQDIdDhC98YQr7Ihi0ubn5/PlzLj4QkwaMHI9+9VfOMXhdZo+3\naDEzCGk9K04N+xvDR2ORbdtKvmTgJPIsi8WCwVQ4J9QwlOwBbkMWBXeFJknlyekBBCJKHkbM\nySrM67O9uZuWtDXCiF/K1EQ8MXQRFdzY3t7mBlkiAKtkx7d5rQ30yi3LshYygBWsEOVcIw21\n2AWaR5bL5YMHD548eVKpVCBmWJaVSqUoA87n83Q6TU1PW90I9+B7ZbNZZSXT6QA0SYRO/Yff\nh5sRtJAFjEvAdX19TX4NhA0kAq7NIGdjDJxlKLSJRIJTwF5booWm2h3a6h0uuNFpguJaNBot\nlUocc7VapdPdlg4LS6SFMGH9fh8fo1RuDChWVSkNjBPDsnAXtApqQkNPMG1hATmQXGLtVqul\n6kjKijPGqC3T6p/e9HCZ10ikHIQWL0gmkyQ9Rsw9f43H46lUioQJEJ+Q2bIs6oe9Xg+ghnvk\nyGBD7inAFF89Ho/puec1RMHcU/pX1aT6Ms9lMBigM27E8Vgyb8XzvFqthn+1RA0coFnbrzhZ\n+lZKpRJPoO/7hULha91o34i1NtArt2zbhuoLOYG6uaZ7POJ0UVMj+uMf/1goFJSEqwmjLT2+\nxhjdsahlEguzYx0Zcgp4rUAEybK6Cr59ERq1RdEMBSLtpyD7RjS52+2m0+lCodBoNHzfj8Vi\nrusyfw9A05Wp4fqZxhjlZvEDkSxuSftikskkNDjsIF9KnKuBJwufhCVFCwKyl84PtCwL9Utj\njOu6V1dXiNvp1Z7P5+QcEELwMeiZ4NXskBoyBVXFXjm24PXmcg2EuZUaI4fB6LBdDsMCjUaD\nLIR7pxR4Kg0U4kgm5vP5aDRiMFgkEgEpNmJAHRlpiDOGjwHMHY1GYcTrLK7wa4yMvNKQf7FY\n5PN5CIvW64tjYwot7/JlgqKRarDCaHjHx48fv3z5EliMMvJbvtYsjpVbv/vd7z777DPasqmr\nKMIwnU55oNPpNKQlKFNkhYgQYdOJQwm0jZCiqDpS5WcaAIxmx3EQDmZ0N/Q1lV4iTV6KfD7m\nWzPZwWAAtRlTZVkWhlhzZ/oA+/2+4ziU9WA0o0OtEiLz+TyZTI7HYzSv0e6AQgCEonGrMYYI\nent7O5FIJJPJ3d3dy8tLKqIa7BMVEnhiptvttgrM5/N5pqOq2EWj0Wi326TeEARpB/d9f29v\nD244FxwEg9MnYgX7BvnBxnFBQGMODg5evnzJXERslrIktXioRUgWZBKeB06Bc1cMJ5C+al4P\npw0bjUXOZrOVSgVPpmfNJQXT55KqkcWvExMYmbtGFQEfpsC9Mebi4gJrC/nPiLVV8p+OTTDi\n1LmVw+EQThEOOzz/4YMPPoD8HpGBwrVa7cGDB29y663gWkfQK7fY4Sj8etLay3bVVBEil+52\nTCoNKVrrN8Ysl8tut1sqleAaW1K7I1pRs8vce0r8qN5sbW1pIQ6jSQ+hRspGel5obCEcg11H\nXk86HATB1tYWeCj9bBgFhDoJ2IFKgCwIkzlBXAtYTTweByg3Ur2kjzEIgi+//PLk5OSdd97B\naAZBQJcwvctK93Zl9AkQR7PZhMtFK4dt2xAWc7kcyTW/x9upzfJ9n0x/MploYMv5zmYzFQU0\nUsfTqJ/jMaG5J2AFgej9fyWCJr3g7eFQGn6IEVUWMiFf+qc1OHUcp9vtBkGwvb3NHcHOGmPA\nweDMOSLi7EkDOr/UhkltkuQgLemg2dnZGY/Ho9GI6JiqbCD6KqqtwYHhubXwyyg1Ddivr685\nsO9+97uTyeTFixe1Ws1xHFD+N7TlVnitI+iVW//2b/82nU6fP3++vb0NsIiacyqVAulDkdmy\nrEQikUgkHj58mMlkaAnBfBNzUWaEy6FRmO/7KAtXKhXGnVAdgrWGwjK71xgDPAIROJPJvHz5\nkuzekZGjtm0nEomnT58iZMpXIzFarVY7nY7rulhYImIYckzK8GQUFnt7NpvB7kB66fb2ttVq\nzWazdrv9rW99azKZLBYLkHTbtuPxOGl1pVJBKZ8TpA65u7sL5VlBDMi5dNYATVC5arfbjUbj\n5OTke9/7Hi/mGr569eo3v/kNiXY2mwU30E5CcHD8ShAEi8Wi2+222+1Wq7W7uzuZTJQxgpiy\nTv/SoLLX6+EhiC4xXiRJypPhEgF/q42m+w5MCS+I0221Wu+++64xhtdbMtdqMplAIQfu9zyP\nQ8IEw3YnWseCYxlRzoLigkcHtsIlcCKZTKZcLhtjGGSj/evX19dcfB0UAIDW7/ehxEB/NKI0\n8uMf/3hvbw+9abSokJMF/lrrQa/lRldu/epXv/qnf/qnWq2mwQtwhDEGgjNlQ6BVdDaoJTKy\nyAmpWWJBNIYiKVa2U7FYJEKnXEOnBjaaII74DlDF87xqtYriHTuWDX97e1upVMiCjTG+7zNY\n5PLyEhiBeBzl38vLy52dHSBa+kEymQxC1Z9//vnt7e329nY+n4eazQe6rjscDvf29p4+fYqy\nvm3bYMH3798HG8F8gxEDLr///vsgsETH0+mUQG93d7fRaMxms2QyCcoZj8fBlxcitG9ZVqVS\nmUwmT548OTo6ev/998kAgiCgLyYej3uel8/nVe0TkRP0TGyZb+1Jm3i324UJztFCpImIrjR4\nBTCxK0J3HA9TbMJCIthoTlMHcTmOUy6X2+12Op3G42qbEi3pvV6PhMOI0Ad3mW/h9dy7e/fu\n5fN5nW8wl5kGJDcgy7FYTMVjVRoQpN5xHMiXvV7PSM6hfZhULInB4W+4rkvvlTFme3u7Vqtx\nUlyER48e/fKXv/xrbcMVWWuIY+XWq1evHj165Ps+HXS3MvzYGGPLQGiajOkhNDJNVYWHlBQM\nFXcpw6SBsBOJhG3bsViMaaq08/q+TzOLeZ2GbIksMkENjR5BSAUfI+g4DiYbVwH0gQFKpVLU\nrAqFAr1qQM+cFJQ1QifQj3a7HYjagzEGZYZnz57BWMDMJZNJZp8D7NRqtVarpbhnLpcjUrYs\niySaoS1BELRaLaJ+zo6RCNh0vbZGeoUo9OHSuIxcDS2dkc5HRCtZ1V+pkZKUYI6h8WlhjVci\nUYT9wvzpJ4MMEDsDoCtIzURaEG1jDLeG5INqBNzK6XRaKBQwnZZlAdDjWaEq6sQZvkv570vR\n5yNdcBwnmUzy1Rh0RW/g5FHG2NzcpF/G933IlwrXUMjlHLPZ7Pn5OSUKKPx3796FoMnrGQNE\n3+y61dusDfQKLsAKY0ypVIKwZUkHmi9iN57ooMNHRv6cehovpiTIn+LxOM86xUCKjdgyEFXw\nYmIlzI0tiuxajt/a2oLuxpBWgAKwCwJJ4EWlUSsbBEMMRQzofLFYpNNpsuD5fF6v16nLQeVG\nasO2baqgt7e3Dx8+PDg4ePLkSbfbxc7iiqbT6Xg8Pjg4gHYNxEHGEIjGPHQxDBDmGAKGETaF\nMYY/YS6xg59//jmoPQG7nhHkQq1VarJC2QC9CyqccB58oTZzGZXvwcWhPMul80UOyYhAPnCz\nL4p0vEbbu7e2thYyVRZU2ohtxdQWCgXiblrDVchF4RdLBr9ytbmGRvSkwgQ4gnFtdGJ6C5A0\nVj4ajWYyGcraHI96IyPd9lzGeDz+8uVLfGetVkNmi4MH8b+8vDw9PTXCaHwzO26V1xqDXrn1\n6aef/vnPf8ZuEtxZouOuEZwtUpCAhpFIBHT44uKCqCeXyxEB1et15i0RtsBPSKfTX6FDKUXP\nF/k3I/6ABofJZNLpdLCkZLWWNFwAdNARQzyINVHaNXE9uCdjak1INc2WmVVh9hUpMLwxOs6j\n0SjhNieIVWWYC5JAjmh1ws1QiqHiub604el/URQxIXtExMoUXcwoep4wFDkRvW7KRfNE0cKW\nWYuYXV7Pgamx5jXo8EEG1wNTvJG0hu/SuQE8DCxiVT0SImLGylAGxBxzzQF/IFGgCsK3OKIz\nhz/gnlK2JbUCa1YuhyUDyH0Z70LNgBNUMrs+rhyqJXw73/dpYuSX6iZ5C7PA8S48cqVSCWD9\nbV7rCHrlFvz8zc3NdruNCbBDQpSErpY0wlmhwRzD4dDzPPRxzs7OsKSnp6dQqkkzXdeldzki\nQtJ+qLFY7akXamkjQEYRrVQqpdNpGBHa5AI/D7ehsZIm/pYwdo0xEOkQsiC7N8ZQq3RDGjpc\nByvUcTccDgHlwQ3m8zmRO/gpQG0ymTSi2qMfojbakxkInDIH1mw2UZmwRY1TvRTuAfjek/4O\nrDDXim/Xa8h10ztFZwfHoNfTkjkJnBRi2RppajxOASAi6v4IS6VSKSRMeRnIidJ1qOkRj6NF\npe0eRsw9ppZbz6W2ZWg3/DblcaZSKSh9hAjJZJLxC0YC27lMpAQCwhMoCUdPUKE2vZV0qCtR\nh+CaU8D7KpkE/P3r322rvtZyoyu3lsvlo0ePoGoYY8hV9Ylnd9nSGO2IPiT4BiRTYjRQjpub\nm3a7fXl5icWB6MrWopkQZTvsF41/S1kQdRGx29raKpVKvu83Go1Wq4XlwuhTIPJlUB4kZTqM\ntYWaf3O5HBCtcofRrxgMBoDXo9GIOJ26pcZiQOT1ev3k5ISQzZLqJWUu7bzgAqqNICHgZcYY\nGjcUC+ZLCTnBmqESLpfLyWRy9+5d0AZIJuqKOCrFi/V2qOO0LAtdJ2wfbZC+MI7pFUL3VdGq\nVCoF51r9hFp/rirIksozRWWKwsbGBrFnEARnZ2e4RgXT6fPEizMAkCMfj8dAZyDvQPYcLfqF\n6ixBkLkIXN5AWID0ZxoRJ+j1ehra397ettttZenZMj9TG2ITiQS4UxAEjJHM5XLQn1HF4hF6\n03tv9dbaQK/cAnZkzrQxpt/v0+dmBHMwEldqy68ljSrMS9VSIclpNptlxjZWlUTSiHwo/dxQ\nFChIQorArmHEsWIQrfr9/mg0wrJglVSXA9QbA+267u3tLYAsdjyZTBJUYluvr68p0PF6X/qz\nw10VaqChasRisVqtRtcyVhsUVQXjiX85sDB6g2UkCdC/GmMwKK7Iot7c3HS7XUsYbxQYlcrC\nBYdgpyYMe6SQri19mzhIToTqq8ICFAZAdbHFMD2A1xUVCcfmxhi0h/DQPAzcDrrtuZU609YT\nrW28IIfHTcGNUWkkfPakX5QkAO1vTSYckWY10qFui/KG4zhcHzCuyWTiyPDfWCyWzWbxsuqh\nbWltpUqJ1aY4bNu2lo6JrIGk39yuW9W1xqBXbv33f//3J598Ql45n8+VHUU+OB6Pq9UqlXqi\nGLhcxWJRK2AsWNKMFoS2AdRAlLq/v8/YC0InS3oZiNyVQQHLNQgC2n+Jd7Chk8kEBTWkk20Z\nqpTJZIrF4vHx8fb2NkUkQGT6GBzxUIkAACAASURBVAEijDE4g42NDSjeZ2dnCPoQ4eIb6JMs\nlUoU8YijQdKBehkRG0gHXSaTKRQK+XyewYacL/aCK3N2doaRQmeVz8/lcgS5Gipms9lisYij\ngvTiiZwppgQ2IeAPdnwwGGBY4eRhuQaDAUcVhjuMgL/Q8gjznZC2PdEudQLkjXK5HMdWr9cv\nLi7gtmP4zs/PX7x48aMf/ej09FSBL0h7o9GoXC7DTaS9yPO8er1OLTeQ5heagMbjsWq/wCPE\nk3HAsViMJMyRZkJOFk0lpJ+V3rexsTGbzXggeTB4WogewhwYYwxezff9//qv//rwww/7/T7J\n3MbGRqlUevjw4ZvdfCu31jzolVv/+q//+u///u+u6zLZhLB3Kdqb6XSaYEqpS2zLZrO5u7vL\n/CesCXENYVFE5m4sFgve2+v16vU6BlGLY4SKsAuwwrCtKbuFibqRSAR+1c3NzdXVFcC0fksQ\nBAcHB+j6E0p7sqhWHR0dtVotOBKDweD6+vrw8JBxt6jr+b4PlQVpiEKhAM1uNpsxwpVPI9e+\nvr5WogJmtFqtBiEFDM4rEonk8/lWq3V9fX3//v0vvvgCSbxOp5PJZDRsDIIAQgu6blwHom8i\nX4SzAdzR1Ma9Ye6LxWKj0QBFhdrohUZq4TCWMuVahfO5KTwAXF7ibsuyuMhABAwVy+Vy5+fn\nXB94x0+fPq1UKnq79Y6/evUKmiOuwrKsfr8PmVrpE9QGbdsej8c0slsiHq307WKx+Je//CWV\nSmlEz5PDNdFZNpSst7a26DbS1krLsoC8wsw5wgjNZvb39//85z+Hb9x7773393//929o163q\nWkfQK7f+8Ic/MFiaVi4ecV/aeV3XxRhpqpvJZHK5HGTbe/fuMdMaaioTS+GcqnQRPApqNZT4\nTUhfDRNsixIbWwiQwYi9c1233+/zStUO1fSWGBmEge0HWoIoB3FxmMuF24BLgGIDL9AqEzlE\nKpW6e/fubDY7OzsDPwX4ZrA0sKYtEhxQEXyR8KfTGmQZCFVbqBeLhU6zxropWgomy/FwCpq/\nGykYKsoBq9eSvm0uDu0hKA3xSq4SfoUbCoBuiz6nogGKwPIu2nboEFH9ExwPQkV6eHgRI7Fq\nmLsCccWSZUubDIQfz/P01AiBgVBUvkOrjjCaOeXFYkGBkQ8E1iAY16cFhCfsgYxMCtfHHj3o\n5XKZzWaZuHbnzp3Dw8OvbZ99M9Ya5Vm5Bc5AgX5zcxObooxXcDpL5jZRkEFlIhqN0jJL4knt\niO2ay+XoxkYZY2Njo9FoUNtZhIYBmtcJZ0aIB2p8iakRMFOcVAtKrOvra4aqeCLurGkyBShi\nT0bPGWPm8zkTW4BllMWlpGCO4fT09Pr6mpYWwk9jzGQyefTo0ZdffpnP5/XicBkJ1Qm0M5mM\n9mVwCnSNByKCSq3VEcEgxa/p/EYvwnqdlgtOTWpPXyIhMy9W+gqolC2DWcENjJCLITtD3NaL\njzv0pBGRZURs1vM80PwwLS98bByGXkDHcWDyKcQPa8WIu9WgGxuqHrrdbu/s7PCuRqMRkQm/\nvGs4HKZSqWazqd1SIMue51HWNlIL4W5+5QJa0qGDFzSiiJ3P53mXztV8y9c6gl659ac//enk\n5AQQ08j8PUXuABwg0vIvhW8i0LOzMwazUuVnY7CpkNz0fb/X6y0WC2w3n0B1UQFWcGdP5t0Z\nKdNTlIfnp9WwcICm1twYwycTJSmLzggNjq3e6/Vo7UMwD+4t3dLEa2q2LOkwdl23Wq0icIHt\nIP2fz+fEX5T7QN4Rp8eu2dIGolRCPSROlkG34fokpocLuJBpMlwHdKlAD5RghyXi7chccB00\n6lR3RamQkalg3xQewTS0B9KXMd6YbCBvE8JJ3JDYtBHJfFVSNcZkMplut8vLuMLojnKhcN4g\nV0uZeGDJVJRarbaQkcRMyIT/zvMWEbFQzRi0bkEbFNcK7jP1SVqWuBfh8qNmafV6nXJlOp32\nPG9nZ2d/f/+N7r3VW2sWx8otwh/qLQplaBGcwmAsFkOjHTUJjBe1nb29PaXQggPQw0Khic4x\n5HKgi5CKarBGYdAWdTTlqLGZsURaPlK2gP4cDqiR3dFFSIhficfjbEJEG7QQNxqNGGaoxShL\n5m0HQYBs3vn5ebfbxXkoZRB9D6X6Ad3mcjn1MV9ZGgkG0rENj8KI1wFkUElirn8QEmjG4jgy\nxBYDjUXj86kiejK+L/wJJECEpbyRigKvcUWw0IT4GEb4bThazSEUdjDiILFxwMGtVkspQHwy\nD4myd0CQ5vN5LBajkMDh0T6uenudTgdImqGXgTC1cbf8C17U6/Vubm5Go9FwOIRDyZW0hA6/\nFAkBTVP4fSwW63Q6oOeFQoGH8GvYXt+wtb4EK7coPRF+UvgGdwYq1SZgyvSNRuPy8nI6nVar\nVYiuIJIMaV6Kzj3BlysC+TAfHMcZj8eNRqNer08mE2MMyCY8PKwbm4ew0Qs144WpeGpM4U6x\n5egomUwmg8GAiJtT6Ha7wKaIVd69ezebzbL/R6NRv98PgoC/soGZtK0gpuu6uVyO2pol00zI\nAMbjMSeIShxMPj0AjhCDS3BN4s9FwJNxuYimgyDodDqWSAMCYhBEAygRIRpjAFXAo7UWSpIO\nAAXusRSNOiMcNR3djXOCpsJbCoUCg11cmZZNvk87Jae8s7ODyrYrmqh8GrkFp2OknKDfiwvJ\n5XJEtRwVNcl2u43oKxfT87zhcBgEwXA4BHOjrQZT68pgmuVyyXh1+hW5PipyQm2W52o2m3E3\nwx5FPTplZ2MMkB2Sh+u1NtArt5QvAfWYSE0HX5EPEq3AjsIAlUol6nW+72OpdSdYIqJPXonh\nI7LL5/P7+/uoK1iWRbUHcANxDE8EybR3mU+jTMcvdZtplx2Gj2PGDIFpxGIxWA3E46lUql6v\nE2RB54C7AjOaq4FYUhiYDoIAb+TL2FPf98kkOCriVoxpOp2u1WpgFN1uFwlTDpUWRDABOzQD\n0LZtEAwsPt/C/BosOM0+gXQnujIIhiPkUpAAGWMoQmqkrLDVYrFAv0IBEOVHbmxsIEZqhUjE\n4Fro2ePqXrx4kc/nsfVcIr4azASvrHOquJiKLeBKCduNMY7jlEqlu3fvQuBBL5TMaTqdUrTw\npLfbtm1E7ACvtra2Tk9PoYWoeCmzHCFWdjqdk5MTSikgb8HrzDHuIA92oVDY39+Hb/7mttwK\nrzUGvXLr448/Nsa8evWKTYItqNfrhUKB0SEEsGxaCBuxWOyLL764uroCQ2CrjMfjo6OjR48e\nXV5eYmjgiiEmeXR0VK1WjTFqa5LJZD6f73Q69HQhGVqr1Xzfr1QqGGtyVSx1IpGoVCqxWIz9\nbIu4M3EutAoj5SDVrqxUKs1mk64EjX8Xi0WlUmHPw4yGoQHam0qlqOmR+2sFDDEjIlDiWfrT\n4KuQvLdarfF4nMvl6vU6aQQv5ouAa2kTV8KiVg5R2damG2JVcoter4cuNn/iXYlEAojWlWbF\nbDZbrVYjkcjFxQVRZCCdgdPplA46ZPPAqRKJBJBUNpvt9/ulUqlYLOKGJ5NJr9ejiMoRUont\n9XrMqXFFHhZ7h5WEIEgAjlAcXUWNRgOGz4bMwcHx5PN5hp6oRh2EHz4TH4+lJt2BrW/b9nQ6\nJWyfTqfD4bBYLA4GA1pDY7FYMpnM5XKlUqnRaLium0qlyEjoIwcqeeedd87Pz9EBJ0rY2tq6\nc+fOX20frsZaszhWblmWRdcGJXuwWvYkye+rV6+SySRPNpDubDaDmWsLQXg+n+/t7SUSiT//\n+c/379+HWkASen5+3u/333vvPbZiIKV8gvFarQbRGKI0PcGAvxhcBTp4/XK5rFarynzQmU+A\nBiTURMTAl5eXl6VSiegVjLtUKqG3t7Oz0+l0bFGv90VHQjleSghZLpf9fr9YLI7H40hI+I2p\ng2j5E9ju7e0BYjDFMZ1Oo1hCmUt7LyFyhAtuxpgNGXpLLk9Dx3K5hKaCNVftPbpOkIHF6Pu+\n32w2z87OZrPZ3t4e7d0gyyqpnM/nVRBOpZBt2+73+4VCAaVsYlIUU10ZbR4R1dN6vc5l18ot\nF5bXI2CdTqej0ejp6Skzv40xXDpOE/PN7UNTn752ZulawpIMayX6vk8+xGRIhEYZ0MOQYoqf\nKHik0+lMJtNsNtFENcaMRiPVgKUn3hjzxz/+8b333mPu7Wg0oiHrDW25FV5rA71yKxaL5fN5\nqEue5wEvsvcI2er1+uXlJek8iAHjTnK53Hg8XiwWlOBc16XHD/VkBB/y+fz29rYxBvMBcgr+\nS3rbbDZRwotGoxwDOxlYw0i7uUIlRnhpWjyEiA1RxJOuMLWDUACBwgF/QQlIC1zRgFfhCF+W\nMQYQhqGx9XqdwqASTuDDIVBHR99kMuFncANPZiGC8EL2AGBxXXc0GmWzWYBjdXVYIrwUNVJi\ncLozAEPUsi8WCyaeLEXmDWXkWq2GPpRS2nn9hozKxv3MZjMKerlcbn9/P5FIZDIZdFmfPXt2\ndXXV7XYLhUK1WgX/sYTCzEXWO4K3Jq4nJIcAHo/HVXmZh0RRC72V+Xzesiyl9PDIUW+0RQba\nfV1swJOJxphv5mFSPnVE5Y5/GQeBaK3v++VyGZfDURkZiUslk7rxm9pzq7vWBnrlllJfAWrB\nCjSyI5OtVCqnp6dE2QzX+Pa3v/3kyRMybpqnZ7NZPB7/27/92z/84Q/8F81oOBXtdjuVSnW7\nXVJgbITneeHwM0whsERID3qWMQZA3A4pMxDTQRSB46ygZzwe73Q6FAahJxPlTSYToEyADu23\n1rna/EnpBPxA9wQNh0SUWOFOp0Mjhuu6w+EQ4EIvLJYRyF75hUZKZ1hnI1wIrXZS4lNynqrB\n8UouMla7UCjAMNNYnnO8vLxEg8mSsdYmxDrHeaTT6WQyCY0kHo/v7u4ysxFaIeg8QBO0wkDo\nfb6wjPXIuVzaY02VjwZIV5S+wxNpAX95u1Yp1DjyX9q4FQ9RcFzfYkK9TlrKtkQyhXrAeDwu\nFApE9GR+avT1sbdtm8RF5Qnf8rU20Cu3CIoJVbBlmo1a0lwHMqCRNYJBzusD5VSsrlwuI8oB\nNm2MAQseDAb7+/vhEYXEU+VyGZwUa4hNgbOFOLIjMvw4A1BaIxTjaDQKIqm0Kuh9sNbU8mrt\nXuHgxWJBbgtDgH0LdyJMbisWi7PZzHq9oQYLAv0ZdTooCpTdlCkBlTsqE6Y1pOWaKKOAX/Ib\nx3GUBQh/Q+0Oghhq0VBbpuxGJMiZAlKpiTfG8F9fJLMxu9rDEo/HVdkDNnS5XFaSBs+D9p0H\nQcBV1U+mlghMZAtHG9O/FBVDI97Xlg4aNcrq8/DlgPtE9+rPLOG/A6Z1Oh0uC0+sK+NucbqF\nQkGrqeRMuE8gL+6+kWmziJPwRfSyv+VrbaBXbhEYBjJW2ZeGOiNtdcYYrAyWK5lMLpfLo6Oj\nfD7viVQbwnLaoVAsFovFYq/XY9gzRTmYcKlUCvkILJonCh4qqcPuXS6XtVqNY2NfYRNBAIzI\nGZO5K9+OM6ILI5lMYoDUvBKobm1tMUsU+t2tDLHFjii9L5A+l1wu12q1OCpfGojBajZkonnw\nOqHNCF+YAyZG2wjNog7HtibUHg1Wo9IZgMv4xeVyidmi5w2LpuQNR1SbgV8iIhKrkLoRVqIj\nY7A12A+/1xeinjHmvffeu7i4wJMhrEx3EiwUdWNAPUiauCHtFIw738sB6yWyQo2p+hxCdqRC\nyKfxey1FBkGAiF0+n0e7nHtNhE6BdzabNRoNy7Kq1SqdREa6EE2oTVQve61WA8AhD/v/tqm+\nsWuN8qzcIu5TBUiK+I1Go9FoHB0dYYmMdOgSx6FGpPSJ4+Nj3dWlUmk6nXY6nRcvXjx79iwi\n4yra7TZNIhEZEc235/N5I8X9jY0NYlIwCvJiNrNOhmbrjsfjVqtFbsv+tCwLySEMShAEGF9K\nSZgDW6aGR6PRhw8fKqaspDqlowEsgPYUi8Wf/OQnkUjkwYMHtm3ncjl0M4IggLsShNpJTKjh\n2LbtTCYDm0WBY0yhWuSwZCh4hRYnoZ1xYEgDbm9vo/tB+hLW3NAWFV3E4JwLX6QdffycyWRA\nn6Cjtdvt4XBIa2ir1YL2R9WOegD+Zi5jA9U3KNBkjFmIJrUlVGierul0CnuEuJ68hwzMEil9\nVAHQX6VyyCcEoV4bW2Z+c0OpK8IPAdbXi6aFBLyvJ8NlOGButG3blKMjkQj425vZcau81gZ6\nvdZrvdZrRdfaQK/cgvKlkTKNCfDqcrkcuaGGRaS0FOUiogq/v78PWkrItlgsiMW0MyISidBE\nQNmNuIyQHElJ2mRIfqkOkW/y+16vB04CGev29jabze7s7NCFvFwuM5kMGAWAI7EeqC5hZrhl\nhrDrzp074DNamVS+IOMBOcL79+8XCgXbtnd3d2lqD4IgmUxqz4UOkVLswhJ2M7GnEeqeFdLu\ncWRsIF/EL+m9JMAEVNVDAq949uxZs9kknmUqox4n9LtwsMlbGLdKvA/OEI/H8/k8DG5kK66u\nrjzPow+z0WhQ0oRGHeZWKnxMfqNH7ssMKu6RHdLJ45rAB+f+Kgiujf7kYRzhYrFgLhcdhiaU\njhiJf/Vq0IuUTCapaSvnj4ZvuHQkIl/B6/hM5bNr9YXu1rd8rRtVVm69fPny2bNn2kjG5tne\n3s7lcqgvss/RRmi32+CAwLiWdIUEQUArAeUjyE88+tPptNfrnZ2d3b9/H/17wIdEIsHIO7YQ\n/C3S+c3NzSdPnty9e5fyOhseAKTT6cCcU92cXq93eXmpjAtLxnDEYrFCoXB0dATOYIXIzjc3\nN+jKDwaDm5sbxgiA0szn81ardXh4yHAANjBw8/Hx8XK5pKyUSCSYl1gul3d2dhqNBj0dlmWl\n0+l+vw+zeDgcakcl3JVEItHr9ThUNcdKUeC7OLvlcqkzELQlGisMHI+KUzwep6Hm9va2XC5v\nb2/7ItJmjAE3MMb85Cc/+e53v1suly3LGgwG+XyeATrKaSmVSvCjoaxRqbu6uqpUKhcXFxDR\nuIaj0QiPy/EDmlPOPT8/397e7nQ61O7wxH5ITwqCcywWa7fblkh5mBAgTmNOpVJ5+vRpKpVS\nKOzm5oYCxvX1NUxwbHqn07m6utrd3YViCHRjiwxpoVAYj8cwKWmwKpfL77zzTrVanc/n3B31\nnalU6uDg4M1vwJVaa8H+lVu/+tWvPv74436/DyCIjYCSPJ1ODw8P6WFD4uCjjz4aj8e9Xq9Q\nKCgFzUhdyHXdfr8PrQItdqwwVuD4+Bh+qw6C4mfwTSNoI9juzs7O6ekp3WvYOF4De5qXKcGD\n3hlYClg69CJQgKOqRi2LWpDjOJeXlz/96U9/97vf9Xo9yvcYMuwI40Icx9nb26tUKrQ5oMsz\nnU6bzWaxWIzFYldXV+PxuFarMZzFGAPvEIuAIdbqpRbiIKIQJlvStm4k+nMcBySdM6I6B69D\nlZhA3sfjcalUAsVmCnihUCD74UZMJhO4bvl8vt/v/+IXv4jH47/97W+fPXu2u7tLNyDHbCT2\n5/gJorGArVZrY2MDPe6joyPQcNjcWuOliuh5XqlUuri4wL3hSGA9Q3KHamKJjjOPAYmXHgBO\nutfrHRwcEHdr5oQDgPlOHO0LR55W9U6n48lQhcPDw+3t7eFwWC6XqSVsbW3pw2OM4ZEIZJRi\nNBpNpVJ/93d/91fYgau01hH0yq1PP/307OxMn2wME2EOs47q9TpZrTHm9PR0Pp+fnJzs7e09\nevSIGJbsFQM9GAza7TazoGj/JR5st9vUi0ajEaYZcQ9LprfYIhNsjFGClJI69Ac0mxDPpE/X\nCo3xZqFtn8/nX7x4YYsaJ5oYSrGwLKvb7cJi1n3O24nFFjIakbQ9EonANmNmObYSQojv+1Do\nCG8dkS4hwIRa7sswQFXF09KrEXoJMBHkOT6H/g767hwZrxcIoTCXy1ECpejHXL4f//jHBwcH\ntE0TDu/s7KRSKeaBXV1dMUwAI87to6eDEX+eTNcGteD2MYEwDF/gDCDAKB+DRQOkI6PKOTW8\niPv6+G3+FIjqd5hpk8/nVYGaDhoYnBwSylxaCOX09baqfAc9KcvlEjIo+ouo6MXjcfClQJS2\nHMdJp9NrudE1zW4Vl5L8NUbTGvrh4SEhIbxm3XgnJyda00+lUoRj0Wj00aNHWJnZbAa1DkyQ\nbcxcJSAIkuhEIqFiQ1p5N7JRPRkwqrs3m81ubm5eXV3d3t6WSiVbtHvc0MRPDMHl5eWDBw+G\nw6HSulHkWMookHa7ncvl6MsgvjPG0E8MGQBpupubG8YyAdOjMsG5I+tDpyLWSoFXhUTRKrFF\n482SGSi2tHVoiE2zcjab7fV6mIxEIoGOlSXNLEoBxBLhpZTNsrOzc/fuXUgOnDJmtFgscstG\noxEdKJh1bc1A6tPIRHOFfQmNsc5wReDwbG5uXlxc4IGU1WMkkcLTKPtQmW1qynlsFN1aija0\nwtx0TvKlw+Gw1+sR8PI8oKoRkeGWChARswOsVyoVT4bQ8xqezzDDJAjJAVIp+Zr21zdorQ30\nyi1tqib0IPzhT5ZloS/D1mo2mzSqIW9E4snGVhkg13XhOAfSWo3qI6w11fadz+cPHjxIJpOd\nTgcIW+0m+w0U20ijsLLlaKcmqEQrDrjTkjF9ZM3w/0jMUYYjhvVEWpoAk5Aco6AaoUYMDSab\nchleisguCAJwYYxjPp9vNBqkz1qGUvjCFZF4zLQrkwz90EAZAlh+3+v1IJlRJyTDUAqd6vx5\nMi/KCOyD7zw+PjbG6LhFvCm2L5/Po2tqWRaicbhhLZcZaVYk6qcK57ru5eVlo9FIpVJ0uHCX\nw4qD6jkwhXhcNbgKstOOhMOgossZ4Y1IcfTeYYLDTHCtrCo10AmNlPU8D2omT9p4PEZ8CuDO\nFQlppYHbMmWNvAEO9RvYbiu+1gZ65RaJsBUam8QPRmitmv6DPCCq4DjOcDhExJlwjN1IjOaF\nmrZBUXl7t9sdDod7e3uI0oHqYlXRq6SSpowOElg4A7506LLz2VQkqgoUAKeEMetwWhCIMKkx\nBmyUzyf6xh/QGqOBMHEcZ8F5wQyhUBaIEJ0dmvBiRAs0HNmpzYJKEchIFC4RsTPlVoZpwfY1\nMk6BA8YMEblzrWjB0NbtRCLBbAFwf8TeyAYQTqKhcTQapdNpTTsIM/EBuCJMFS4qGo2+ePGC\noF41rGkdJGnAwSOEYof6dPTgMdBKmMH9aEKgUTYwMYVEygY4Xa4DHogrgKdXm2ukqz6RSDCl\nm5xmOBzatk2hkrebUCcRdwrdvmw2G4vF5qEJs2/tWhvoVVxEHxgmbXo2xliWtbW1Reik/AGI\nGURYGCyFJheLRalUOj09Ddf9Njc3aSTBsBJ7anqL+cN2UA7CpKJbRl8cr8nlcu12W9UzMLvE\nepZlZbPZ999//ze/+Q2mRHGAVCqFAwAB57xc1+10OrPZLJfLEWYizmdC4wsANK6vr404qlKp\nVCgUuEooqapIsVb5tACFowLGOTg4GI1G8/kcdU1IcqorQvaAsgcEGOTqtdGu3+9ns1lPVP2o\nf1JO3NnZyWazxWIR4zIYDFAEhDEG9OG6Lkb86uqK++vIJFkuLKcDsGBZ1snJCdf2O9/5DuP+\nODsiay4sElGUcMl1IpEIYnK0GuojhIMfj8f1en0wGFBUJMFiRWTR2ImTm06nmvdAxSO3wxeO\nx2PGeCu+MZ1OE4nEzc0N0xiCIEDqT5tdNzY2rq+vy+WylrUXiwUKWUxJD+dPb/Na86BXbhGg\n6UA/ckxdQYhaC+0MWqslUjUa2xpjgDXZgUAfCstC1OWV19fX4/F4NBoNBgMKUIGM7FMDDfSB\ngQZgaTQaiPqjq4fNhcxnWdbz588/+eSTXq/HZua7MByEaVpFJFdIJpO1Wg1HQiMZVX7KSnwF\n/gMcFiwYtB0cnMYz3IOmCxgdEnMu5vb2NlaeBAL76IuMtQaGIOlI1oUxd8dxBoMBFlO9znK5\nxFplMplKpXJwcIDCZ71epxOPeJaDgURIeTaTyaDbGQnJ6nNnmQgDgJtMJi8vLyeTSaFQoHeR\nQhxmES0US3SXCHiRggpkvrgCOJwj6qmaZ2hiwYm7Ms2dW0ls7kgrPz7GdV2+iLOmhKixue/7\n0EugqGupGR8JU7tcLvNksqD561PK8/mGttwKrzWLY+VWp9N59uyZJ4OmyHaVwfbixYuDgwPG\njnzxxRcnJyfY1uVyiVQY0GEgjSSYMzs05pm/ZjKZ4XCoLDHXdREp/elPf/rDH/7w8vISRVMS\nfzJcCBJo3UEj4Zf9fp++YWRFiTSr1erx8bFi4jgG3fOKWti2jebD5eVluVwG6AxENwMTYIma\nmjatcBZI2jcaDQRGYOmiTaySRsS2ruuWy2XAHAhw2JF+v39xcVGpVAB2uFDYi3Q6/bOf/Qxd\n49FohD4c2CuYDyuVSpVKpb29PVrVYXnTlg1GUS6XMeUYXCXAIXXUarUmk8lwOOx2uzCaZ7PZ\nYDCA6UyHCEHudDptt9vj8fiTTz7RBnoU+JA6weqBkgM7pFIpSO6u64L8BjKI5+Dg4Pj42BLN\nI/VPsHFwAEAoiUQinU5DeeaJosxA4eH58+fUSyhZq7oI1jyZTCJ9BXeFAuOPfvSjra0tiOGO\nSHUzu4vnAdM/n8/r9fpasH8NcazcOj4+BmDVZkIjxatIJPLBBx989tlnpIEqgr65uYlMKPuW\nFzNYlnIZ9lHr5iS5iv0RSWE+NjY2UHb3ZQY2w1Cq1SpZLdEZ7FfP8xifQcFQuyEAhZH1ILLm\nBZS8wngLgdLm5mahULi4uGDfgoFo7Yh02xKVKOZSczCDwYDJHfl8vlgsEnIa0RsyxpCnB0GQ\nzWY/+OADSnbT6TSVStm2vbe3t7m5eX5+zgQWS9To2+32aDQ6OTn5wQ9+8L//+7/MaiFzn81m\nnBdeTa1ns9m8ublpNBrKVOUfxgAAIABJREFUgeMDGSFoROqP2P/q6moZEmLGdLZaLS7LdDrN\n5/NnZ2d4Jk4Z2OTLL7+sVCobGxv7+/vE8nOZk03tgRTKcRzGpXNn4WiSbxGqv3jxIpfLhaEP\naq3ZbBb/zS2zLAsYpFar0fEE8rBcLhlUWKvVXr58Wa/XlfWIsCpZgu/7u7u7dEvxy29/+9vd\nbvfOnTs6/SCdTuvjp1UEvh165Vu+1hH0yq2jo6NOp4O9WywW4KrEbpZljUYj27aRlLy4uGg2\nm2qtVLvdfX3WMjE4kIJCBPSSYDW0XO667ieffIIlJYDSRnMmgRI/2iLBTGhmxMr70mRMWwek\nMdivCM9vyLAVXuaGGsp5vQI4yjSwhAaHnTXSbg5KywBpRhCUSiVido5NvQLfS+wPfgIawNth\nF4DCQwMnZ8d2TKfT09NTbe7g8Lgs6gW5LFTVtBiIKaQjg1vjuu5wOFTcP5vNMriWljx6dsBJ\naA31RIYfG6ocZ5VFpYxphMWohD+9L/xLQVgbspUAjvsPXu9T40OocCgTTofDciSPHj3CwdBS\nhGNQ4jkP28bGBt5auZKNRqNWqzFvhUNCT5ylDpXrwxXb3t6+d+/eG9p1q7rWGPTKLcuywsNP\nMZTaO0AaS4I/nU4pqSOziUi8NkPPZjOU2rWWRXCqOsJhrXSwTsK9jz/+mI4vQPB4PI5AByaS\nJjo/JHah4KMREp627bJFk8lkNptNJpMEVrx9KVqmthCQsYAcv/W6UAYHj1nBP/m+D4gM+w2m\n187OTrfbJfTTOiTNe5wd1zPy+pwBBglyVDhCbC7nSCF0MplobyTnhWXp9/vGmNFo1Ol0otFo\npVLBk2E6bWmAJq3hIk8mk4uLi6Ojo3a7TesQshv8iR8oHlqhtkZcLEVO9UDgP7boGiorBoQH\nD8EEd+64LbxmrVXw+eQNuDSusPb4KLsDH7O1tfXRRx8B1+BdarUaiZQxJhqNLhYLQDbMLj0p\nsViMxhyKwPF4HJ4GR0LQwAPPVdW784a33gquNcSxcosdGK6x8BAbkWqMRqNnZ2dXV1eO4yDm\nADEZvocSGIxYTzaq4zjdbhfdDCJTzWchP+kOr9VqsVhsOBzyIdQGqeEEoXGlYRuayWRo4mBn\n3tzcUP7SYiDh6mw2I1rEWCtQjs3lByO9zlrCwiAWCgUlOVD8xJR0u912u/348WOaU3K5HMYL\nowOoTZ9FNBrd2to6OTl55513NH3GKFNrrVQqKnfJZdnc3Dw8PPQ8D40qbg2ALAdGUY5gsN/v\nAzh0Op3d3V2mOzabTTwi6QWtgDinra2tRqNB1VRJ1iY0lkFvIvZaVTI8zwNqt0VgWsuYysZh\nKUmRBwDMBMhL6XeaXRHYwgViFEOv1yNW4MW8EoINvzfGdDqdSCTCs3Fzc4M2tBHVaWX7QTrk\nSqov1ESExfNDxSWfzyv88javtYFeuQVDKxqNwvD1ZXSFMYbujI2NjVarhY5aOp0GI47I4CJj\njNbiPBGJJhoqFAro8sBvhcgV3quB6GwAa/oixAHIm8/nlcjBFxHskwXrDBG8hdoO3/cZL8vP\nRqjTyvbVuA8RfRJ2DaJtkbTPZrOElpg5DBak7Pl8/uTJE/SS0B5ZiHAz1haqMpDOw4cPW61W\nmCHAAZAfqN5/IM2BxWKx3W4TRebz+adPn5bLZVBsVyStNQ7lQ7rd7mg0Oj09LRQKuVwO8Jfk\nhqhTO925fdwdvtoIiVjjR0vE8HAGRgwll45r6ErTtiWDVIwY33ClgZuiv+GwozIxVpnv3J1e\nr6dcT5YG2jycOgMXOI5PGwwGcEv0ZTwV2WwWzg8JDY8oRpzj4TqQ4aVSKe36ecvXGoNeufX7\n3//+N7/5zXw+v7y8JP7yPK/X611fXw+Hw3fffffLL78k0Y7H4wDQxpjRaESVDJPkiwwbWGcu\nlyMs8n2fTQjmCzSpUC9/7Xa74BhIjiGboDArXYvZbDaVSmWzWdCGw8PD6XRaKBSAC4wxhPNg\npvP5HKb2hgy1YytOJhOmbHwlp7ZkplQgGqG+7xeLRSwOFTNaM+j5jkQiOp6cUa04nuVyWavV\nOp0OzqPVajFqliM0xmB/YctAiXNFTY3vymazkUiEcSGcC2WATCajTHOwFMuymP8Ns5AL7nke\n5MXT09Obm5tisWiMIZGH2HB2dkb83m63y+Uy8ebNzU0qlVLVKtwANcnJZGKLKJKS7fS2ao8P\ncMHm5ubZ2dnu7i7i/XhETDl20w+1C5EQ4H15HvDr/EzLCX/yZcCgMgW/Us2GFsl8Ga58NBpN\nJBLJZJJ6MiAGOQowmuu6sMvhQfPUbW5urlkca5Rn5dbt7S2jhjqdzsuXLzudDlOlNzc3q9Xq\nL3/5yw8++MBxnC+++MJxnEqlggAmKp1sJzgPbD8sJvEIdocKVSCaSnypxlyRSEQ7HcAEYINQ\nC4IgRbWnVCpVq1XicZi/iGQCOyIGwvcmEgmi71evXhnp1aZAFwlNewqntHZohhMAMcReDZMR\nscxkMqlUKp1ORyIRmGr5fB5VYkL7s7MzvIjnedABA5FPWi6X19fXMBpzudzZ2Rmhn2K1XAS9\nVpHQ6BmY1CakZRwEAd4RCaHj42Pf97vdbrPZNMbwOd1uF5PEtYV4g/prJpM5OTmhv3kpI3U0\noCYQZkClEWKMJ/MelV2n9VUyoc3NzX6/r5P9eCUFTEWTwhdc+eAmRI7mr1x8joQDwOjDq/u/\nr9esSJWtwJ193+fGeaJ/gvnGPVcqFXTPE4kEJM7/vzvrm7jWEMfKrVgsdv/+/aurK4DdZDL5\n6NGjBw8eGGMePXoETa1QKBC0NhqN0Wh0c3Nz584dFEo16gH0uLq6KpVKBJW2bcOuNcZMJhN0\n/RUYUaoWRC4slDYjfOc73/nd735njKEzEBMDm8JxnD/96U+eaG5AwsP0wLKgQfnhw4fX19et\nVms4HIKKsmPxE2dnZwcHB4C8bGD2J04CWUvia/qqPc9jPjcxLMXMxWLBdKher8cRuiJzOp1O\n9/b2ENtTJdJcLre9vf3y5ctsNptOp40xKNLNZrNqtToajVKpFB+Fw9A4mgwDfAD8hGD89vaW\ngmo6nX769Gm9Xi+VSj/60Y/i8fjx8fHl5SX3KB6PgzJp36b2i3MjcMlcjc3NTSQJ6RXElhnh\n+eEPEPJ2QnMezs7OxuPx48ePT05OoKJTJwQuJxVQZNkYMxwOb25ukLviebBCY3n7/T75GTkB\nAgOJROLk5ESPk6/m7lO13tnZwXPoiWxvb3OOjmgBLmSQ8Ycffvj8+fNEIqE6WRz2W77WBnrl\nVqlUWiwW/X6f4LRSqfzsZz/jsc7lcs+fP0ctHl00whAal7UpXOtjnuc9ePCg0Whg5gjfGAz4\ni1/84j/+4z+q1ap2J2oDoZoAYjQ+84svvkilUqjjY3AJKhUGzefzNKrkcrlsNvvrX//atm2I\nyVjt4XD42WefVatVmj6CIMjn8/P5HLN+9+7di4sLgmstcBlj5vN5s9ksl8vIosIbe/Xq1dnZ\n2eHhIWQ7IwEgLAiyBGMMPgaLD3+ZZhMCT2DW2Wy2s7NDNzlRaiqVqlary+WyWCySx7gi5J/L\n5aLRKKUzbhZxLt0lxWKxVCrNZd2/f59U5ssvv5xOp+l0GrPearUYszAYDPb29lAR4ah0kCA1\nPS2KAh/VajWaegiWCahpp5xOpwT1CqBXKpXd3d3hcAhZwpHB4YvFYjgc0l8KSuNLs3gqlapU\nKldXV5C++Wq6HOngxwv2er1Wq7W7u7tcLn/4wx/i3gLpMPQ8j1JBMplE0ckSVh/fdefOHUgy\ntm2TEuESTk5OyuVyv9+HgmJZFoXZt3ytDfTKLTrEjDGVSuXOnTv379+/e/cu1SHQA7YBLFoM\nHzaX/WbLUAziI+yLMWYpEsD89/nz57VazRGhIsdxEMmjlsUyr89dVkVgVwSSlC8Bft3tduEt\nYILPz8/hOQRBMJ1Oy+VypVIJ2x3tx4ECDJytpDHlWnGOgJu5XG5nZ6fZbA4GAyAX0Hnl0rK3\n7dBUVqwzWEpURqHbMq8Wrh6cAfoem81moVCIx+N4l0gksru7S7OiysW9ePEC2Y3BYICxtoQW\nuVwuJ5OJpiDtdjudTtfrdS4szgOeLzSJWCzW7XbJJ5DsCKv98cnb29s0HJqQYnW/369Wq6Qp\nvJJ+d8J5sGzOV9EPCM5GxEx43pDF4LLQfqLFQ9zbcrnkWzKZzF/+8heYGHj0breL1hJyJbQ1\ncQBGqESxWCyRSBhjfN+vVCpI3DHbl/PCEDNURdnisJjezI5b5bU20Cu3LMuCx1Yqld59993D\nw0Oeb/2rkRiZGiDGmjGAgTQjBCIqZkmzA3sSQ4YhBpDFsuif6JgIpGfMFw0HZo7MZjNPhCt9\nGdIcBAG/Hw6H1O4dx4FzFoi4ZRAEnU5HbZAVUgFVJgA6qMqg8EX9DraGLWpnvV5PJTEpV9KN\nhiRbIPqoBGK4EOAdwnYScDXllmWhlARoOxgMwFsWi0WhUCCWJNK/uroCYQBNojqXTqcRaTPC\nejbG0EtCDwvN98Vi0fM8wBOcB3pVwN9BEOAPCPyXIRlrY4y2HdrSr48bKBaL8FI8kSfFUCp5\nmT8ZAcq5v61WC/lD9bswEfkNrd5AQMoF0vrEF198kU6nKSQqZu15XiKRUG2jdDoNCkdCQ/WS\n9kJuDd2YnudpmsLDMBwO6U31Zcy5FWLgvbVrbaBXbo3H41evXo3H4+vr6263W61W9/b26Mq7\nvr4+Pj4+OTmhoLRYLGBD0yFNHKSBnopAuqLOTB5tjIHtxGA6QshSqYSJdGVZ0kSwFK3OQLjP\nwLhqQdir4/HYtm0ND2E6gzhnMhkr1BRniV47hX4QDOBREA8AdD7cktldbF3AdADfQGjUnkho\n2tJ8GG6cc2WorqLYgahKcY6pVApzSXUUIIgjVMO3XC4xrxhcvVmU3WDa0AHoOA4MvGaz6ThO\nJpMZjUZHR0eqe1UqlYDLwSU0dQCJNqJroRQLDsb3fRwJsBJlYdu2h8Mhn6bOiWYTI8qFimtj\nTPlwmIhYXpw9is9KkoH2x11QYnUul6O1lcRLrwM1ABjuDHwA+GLoDzXAdDqNHjQg23w+h+z4\n4sULBjjwFkJ1Kge2bb/77rtf/4Zb6bU20Cu3RqMRaXsgIzh7vV6pVDLGXF1doQ1El6ArQqMo\nG9AZyCZUUSEsUTjk4VuwWcQy/X5/Z2cnEonQYcwmxIITWCm0jTVURnMQmlmlkqeQWJ88eXJ6\neppOpx2Z2wRcoLaewwBdBdUFJ7VFuF0P1QkJRhNBM2IV5N0WoWrzfwSg/197Z/Ij2ZmV/ffe\nmDJjniMycqysrHLhtou2jUS3zI4FIMEC2PQGiR3/C4L/oxewaJAQAtQbaEQ3uAfbRZUra8gh\nMuZ5yswY7v0WP73nC7P5VlTfT3WehVXOzIi4Q9zznvc5z3mOY32Hxc1DNha8s2Mt/JlgAkdE\nPBK9nWgkiBpMQoDWEB0CVABcDasUajwuO313rFi8Z6lUarVa0LUifJTrLCwQYVEuu4jkEKVw\nZ+PxOKsLO6G1tePgVexmuI+s1py4ZM3GGHLbsHUc5X+LxSILjLF1QmP3PdSNQ1tDJLjOmUxG\nlkbf9sQba2Ody+UwIKWqibno7e3tcDiEukGrQ27BwqActNEAHUB4nickHbGj0Whg0MO2sdVq\neXYYNppTqjdYHvu2N4yHRMpl0loNfKs2cxynWCzi/MvfEOsl9kEm4MzJO0+nUzbC6/UaEmAy\nmeRyuZOTk5OTE5yGTk9P2+02POZisRB5ye3tLb5oQhOTtg+Hw4ODA6LhdtcG8YU6lWPnqrD2\nRLbspInvDGYlpc3n8zKAsVarZbNZCNPN1uwCmPc3b96cnp7OZjOqnSHrQ49CEX6cWEasX61W\nqVSKZFAuKW8o/A/OQQR9Wmz29/dxtotEIr1ej9CM0RIZtDGGbJdYzMImxUA+gjgrK4exbU2p\nVAq1CRGc1WW1WmFEx6aEfQDbI+laZLuAkwb7EtfOezR2yol8o9DMsD6t7YBaxkiy6HIu3Fk5\nbL6cdHjmcjk8FFerFdMspaKLAJ9rwlerWCy+q2cuuNAAHTigz51Op7LhDYfDtCYzkqPZbFKl\nETKBJBruzxhDeDU29yF5dOykV2OzHh6ktfWMhiiguLS2HqdSD5QWYVgIcYFAOsKMqIuLi263\nu7e3d3JywnYV/SyTvEmf7+7uisUin8UasLFeSLLLduwoLGMbH9D/SQvc2o5G5YyIOAwDg9Id\nDodEAeZqE8rRLayt4T3hHu02SRzXKmpnrBgr+N1u5yHPpRWeGCoB2rede+TaUkeloYOgAy2A\nNnE4HLqui2gP2poM17eDU8mCHcehdierlPPtjnCCODIeYzccvm1TIl3FNZACoOM4jUbj+PiY\nNQmpJdsm2HxIEufbHd7CfbvWEZSLk81mje1U9K1VE9s4Nhakz0j7o9Eo7q/r9RrjpHq9jp8J\nHUaONcC6u7t7+PDhu33ygggN0IEDPW8ff/wxU+vJRGq1mjEmn8+/fPnyO9/5DtwlgtbZbHZ9\nfb23tyfiByjR6XS6Wq2Ojo6ur69dO8jZ8zxYwq+++oqsnMxls9kwd5nBrMTNfr+P3aXjOKlU\ninwZEVjEjjS8ubl5+PAhjGG9Xl8ul6PRqNPpnJ+f+77PdFGkDslkMhaLHRwcXF9fMxSGEE96\n+/r168FgQN4q1nfGGKI2JA/luM1mE4/H2SmzL0bG59oWRIR9+Xy+VquRa9/c3OCORp7Idaby\nyYJE5ojQOGwnn+7t7V1cXDB5GhPRwWAwGo2Ojo4Q9vZ6Pdda8RFnCZTcGngnmFn89igSbOzc\n6/39fcR5eHMjxTHGRCKRdDrdbDap4sJjXF1dNZvN73//+5lMZjgcksJvbOMfnR3b6vVUKkVW\nPhgMaPvkQg0Gg9lsBmOWyWSkT4SOJGyh6GCE3+ebNhgMTk5OSNJZ1CFPoOaFV2EpYhXZ398n\n1769vW00Gk+ePOELBnHRaDSYGMAlMpbNZzl8/Pjx1dUVof89x/8tFisCgr/+67/+1a9+dXV1\nRaiFZFzaAX0Uaig34e+ey+XIuCnLkA2RyqVSqZ/+9Ke/8zu/0+l0CKniZB8KhXq93t7eXiqV\nokmBshWuGoR4Om4l5UQzR+0obGetFgoFOvQca5dMSOLhHI/HRAF2vrAHaNpEhkG1k51yu91e\nLBZ0keHsDFnByL5sNiuZppg8cCnodeSwEQ/Q6IiYhO61Xq+33Bo9429NXZnP58VicTgcIstl\n6/D69WtmckciEWbNVKvVdDp9dXXFsZFmim7EtwOwRXOCYJwcn/DHq/jLwWDAuOtsNksfCneZ\nU6OF2hgzHo9Xq1WtVsvlcq1Wi7It3efEwWKxeH5+LncNr49YLMac7+PjY2ju2WzGNaS6gH5x\nZ2eHbkxaw4fDoWOn4pJ67+zsPHv2rFAoXF1doXgxWx7f6XQaqsexxi9oRZLJJIaIyWTy8PAQ\neaUxplAoPH78uN1uv3jxwvO8+XwuJU2mNSIPf/LkCdPC/uIv/uLdP4CBgmbQgYP0HxN6iF/8\nKmJ9kOUnJJi+7yOe5bkiWKzX69FoVK1W+/0+DvoQf+yRMVrCxgGmIhaLVSoVtvNkN4zOI2S/\nePHC3zJtMLbzEO4F6x/kAYVCoVgsTqdTtvmj0YjgS2+LMYb80RgjVTVoUOKdpIGOnVHg+z6C\nk+XWFNFQKIS1BQeJRHo8HqOl7fV61WrVsTPCyQpFDiHFMaEIKLeG7Chr39p60NEXDofJjvEs\n5SN83x+NRvhnUtSVRUgkJZwgFVekjSy6RKvHjx/jutlut4naUnoVl21jDLebsSO+nUKwv78P\nCUbdWFw7ona0ayQSOTg4kGWDeMoQdHQ1vu8nk8lkMplOp8ltqT1SAETi4rou1iJoRWSsrWxW\niOC+tXI2xtBFRc2Q94SLS6fTGHFcXFwYY0qlEn65y+USvptbAOPPtAHVQRsN0AEE9G4ymeRx\nJWMiIov+l0eCoMPekLLbcrmkPYFItFwuq9Uq9o+MKZKoVK1WyaRk8h7JI74W/E25XI7H4wiN\n3759SyoNW4Ju1xiz/rZxD5m7FM08z8Nww7XeGpjPyWA9aGjqS3Ik5OZr69wGl7JcLlFBGGNI\noh3HqVQqDLFGLoIfyNu3b8kuUQpjeUHE4WKKvkV0HSwJ4XBY+nQ2mw1GTsYYrqex/dCedYVe\nLpfD4ZDdCcTrZsvqTw6SwxbuhZBNbkv7O4QJGj5jjJRDt6ltx07wWi6XxWJRON+jo6NqtXp5\neQlPjTSQG4GZnDhnTSYT6biBAmaQAmAFFbkOi6Vj2+Id6/od2hrF7Vuw5omcRpj3SCQimjw0\nf/1+fzabJRKJVCrV7/fZt3GR+Syu7Xw+Z7jwu3rmggsN0IEDG3xR+ArMVtsI6jHqLfJbckCS\nU8pxiEBoQlnb0avGtr151lyC6g3FOpgKY8xms2m325FIpF6vE5SNFX4lEonRaARbAgUZsoNC\ndnZ2sEIl9kGnhqzF8Gw26/V6+Xz+yy+//PTTT2Fd11tNku6WyRmRjoec4id7Z5qtUSMQ7Bhm\n6LouQ75J5BGxQZXwbgQms9W/Q9yZz+dMZoJLFeYXNw/Uu6wx6XQ6nU73+33heTlrArqYtBlj\nIKO5jNyIbfEDN7fRaLBoEftkiiuLHw2ZRDpsOjBx5fAgl2Kx2Pe///3vfOc733zzzbNnz6Rm\nELIDZT766CNc6G5vb/HSKhQKjjWJrVQqlUqF9nHsueWLBEkFoSElZVHpSYGaTR6sl5y4sSm2\nUGossavVKmJn0bIsbTYbWZZ4q8FgUCqV+Pai/X/PoQE6cCCakEIK5ceTQygksqA/o7OL/+UB\nWNs+NOKX7LiNMfJaSYWI3bCNkNQks+i94EN4ORICXs4zL0mcNH1dXV3hMyckb8j2FqMWQJVV\nqVTwfmIoqlT/OWtjs2b6J5lCG7ED9xDtkYDzl/R9cGr39/eQs0dHR+12G76bNYxkjchothqm\nIUCgaKlWoQLkkIROlam4sVgMhRy21yJGlBAm2jL2NKK1IAzRu8HB4x8bi8WwVSHe8Tc0nRO8\nYIcR8/h2zjoSOsoPb968yefzJycnaEVgOVhK1+v1p59+isRlMBi0Wi3c/tgBjMfj4XCYz+el\nFVuIC2kNlS0RZ4fKglTXbDVPyreOhZ/vhhjMyldatEMs2HzDUbaQO0OXSwX4XT53wYQG6MAB\nzRx+xySGnp2oQrxGpcTeGUIzHA5fXV0dHR0xDZrfYq1LgBiPx6enp6ggyNrER4LEGTrSdd1O\np4PqbvuQiGLZbBYWFS0wMRp7NkgJckxva/YSL5cxTqiAr66uHj16lEgkXr16hfqKYHFwcAC9\nE7EjYIx1QOW/LANiEcU7w1rO5/PZbDadTn/zN38TnTjCDJhxDh5dM6nuZmvG+c7OTrfbjUQi\n+Xweqz/IZfYKNNGwdEF67O/vf/XVV7RacM0J33T3SSRFJS3iEMe6YHNHHMf55ptvms1mLpdD\nvuK6LjkjnSBsKUjSRVo3m81QsEjEX6/Xb968EV9AzEU96yL9G7/xG8I4+b7PrJydnZ12u12t\nVvnykNVyeNlsttFocKfIixmCzoRZGsG5dIRXZo1ns9lKpQJ9z9djOBxWKhU4aFF5w4pQydxs\nNrlc7vXr167rsi6y7n7++ef//M//jEuMUhxGA3QAwaaevSq7Y77Wxhh6OmTMClkzKcxHH330\n7Nmz7ZwODRkChg8++ID5LORHm80mnU73ej1JtchzU6kUxp6ONTkjziKHQsJB1JM8FIGtSKcl\n8HnWZMN13bu7O1JFKJH7+/uf/OQnR0dHCDYcq0dGgMVmH46CC8JLyPv4ODJQYwwJuDEmHA7v\n7e2dnZ01m02CO+VT6HviC7GYa7gtCQ+FQvir4RrR7XaZckConc1meFehRC6Xy1999VU2m6X8\neHt7y2VZ285mMn0OgH/D5HDZWWlkbcCcZDqdlkolBBVcuuFwSDiTUMvLRY9BNZjGpfPz87Oz\ns729PZbMtR3bGg6HDw8P2fcQasWJZb1el8vlfr9vrFUW3wRxE1yv1/gCshiwf6LaMZ/PZZl/\n9OhRpVLp9Xq+NdGGYJlOp8yTpchsLIvNO/M3z549o+7KSkOU/4d/+IePPvoIQbQWCY1OVAkg\n/uM//uPy8jIWi43H42KxyDc7lUrF4/FSqcQWUh4q9vWLxYLMF3rRt2NACUOoEWQsHmzmzc0N\nJTXfelY0m81Xr16JtQ1xGYbx7u5uf3//8vIyGo12Oh0CMWGan4t8GI2H67r9fl8EXru7u8zJ\nvr29PT4+Xq1WpPnExP39/V6vx9pQqVT29/dRIxBSIUMJxI4dbCgvbLVaSLPZJbRarel0enFx\nkc/n2+027XyLxaLdbnc6neVy2Wg0OHJS/mazeXl5Wa1We72eMWZp57C0Wq1Go7FarVCDoFRZ\nrVY3NzevXr06Ojp6+/YtAZS8HpEfhINve2fInafT6aNHj+r1OuJxCq2lUontArcSD1XE6fV6\n/ezs7Je//GWlUoEkkVg8mUx4k2QyicQNZ/DT01OSVhqpWeBTqVQmk+n3+wcHB+12u9FokJPC\n9tBPxLIkVehMJoO1AHO5WF0++ugj6WUPWXckY0wikUCngSEfawM3LhwO7+/vMxyWIoew8+wA\nWF/57vV6vYcPH1YqlZ///OdPnjxhP8EMinK5/Mknn/x6H8ZfO1QHHTj88Ic//NGPfkRnxHA4\n5PmUCIITpmhvHTspjqcobN3UyLjJ0SKRCHadZC7EJqKzFP1DoRBjXjGOINc2xlDhgZeIxWK9\nXk9yaj53tVodHh6izeL5J8ZVKpXBYIAqQ8pHzGzFLmez2dRqtVKpVCqVxHLk6dOnh4eH5ttF\ntkajYYxB6DYej2kWTyQS/X5/f38f/QlCQ9ih5XL5+vVr2Ax4Z8kKuUpCmEIjYFPX6/XodyfH\nhMFnIcR4PhwOM5jnZJ/TAAAgAElEQVTxiy++SKVSCM9FnkHcLxQKFNy2s79Op1MsFqno4oxK\n1/XBwQF1SFHdkGx+/fXXT58+HY1GVAVFudFsNlk7WbS4L+xpWO3g9CuVCnYoiUTi8PDQdV3W\nLYTeELvlcvny8hKhBXeN6IkvK418XIq3b98S8cN2PDkLM93huGkTvmU35rru3t4epBntM7Qp\nJRIJ1ldyjjdv3qCtfPnypTHmu9/97vPnz2mZ4er9wR/8wR/90R+946cvaNAMOnD47//+7xcv\nXkynU4pjvp20XSgU2GNC6kmaLFboxhioQ2Mr78YYxlXQ9UD4FokYwRRaORQKofcgWaPIsy3z\novTEg8qnEyni8Tge8Pl8nhrm/f09rd7U7iFG4/H4yckJx+95Hs4MsMyDwaDf7xNiDg8Pce0w\nxsBpxOPxVCqFH54o82C60YcgSAhbT/3JZAKPLKGZq0qARgXMYFl2Hozxxn5EGkzQLxvLgIuY\nIRaLYTRqjJHhp3KJZOSYsU32vvVTpb2QLVGv17u/v4dwEAts6AvpMaFGt1qt4KzJsmkO3Gw2\npVIJ/z9alrjIcF/MZoXfILjf3d3FYjEqt1IlJhBztGsLY8zaWvdJrwpbN9c6jsI88H3g+Nk5\nwdtIxwq5s2v9x1kJ+CyqF3x5sOuizkw5NGqn1obD4YODgw8//PCdPnvBg3LQgQNqVpSqKzvS\njUIKrRnEEdI3SZ95znmW5vM5KS3JHZxmPp/n33yKPIS8kHjHBllyZ7M1a44QwG9hS1arFTND\nU6kUYwF4mDGoGw6HImPwbQ96q9XKZDKMleIAyKkJImE7zOXg4IAE3BhDj4MxptVqUTI1drr5\ndi0RE49cLkctixIWzj5yIhwziWcoFCJM+9Zkg+Ph38RWY42rZOgq9UlZOHd3d7kvrJGicxAx\nnxC+1N+i0Wir1SJtJ5PlhbKWsIIi55AdCX+ZyWRevXpFu3y/38fWOR6P/w/JoJhS8RNa9Q4O\nDugml30PkGjLAcBlIcr2PG9nZ4elhdMRfyVCv+hJuBSwHyxdGKsa6xbCxRRlkWOttRzbhLn9\n5ZccXNbv9xwaoAMHmguwrSGFJG81NkGmBGRsPSpsTUcpDMqzx3ddJh5JlwqZpsQvlHCiQ9j+\nUJJKwhl8LrneRx999OLFi/v7+88++wxRxMOHD9l07+7uMiZDwoSorBzHwbWDOEv6icc/HRxo\nOR49ekTpH7+ISCTSbDavr6957B3HOTk5ITQTT5fLpfA5eFKLoNt1XRSEBF8pcxljOFoyPmM7\nL6jy+RZEIvkJrdibzQbKNWINmOhTZ21YW8tAfssFZ1WLxWL39/eHh4e+72NXksvlUEaTp0uH\nIT1KdIdLcn15eRm2w8koLRLE2QZBYW+bxEp4hXSmm4Y7LiYBkqTzveJ6Yi3ATdnY9hPP9kxJ\ncYJfha1l9nq9Zkg5Fd1kMgnjJCoRz4534JJy+q9fv+ZW8rVnnabrUua3vefQAB04EBqYLSLE\nsTAYbISR2UoOwk8c24vlbllDhK1BGoFgY8024QqgERzbHBy1RvWikg7Z8a/UxAij+BmdnZ3R\nVkCUoRGZISOSukqDBqQ2mXXItootFovZbIbfE8/zYrHI5/ODwaDb7VYqFWNMsVhENsfRymyq\naDQ6nU496z3k2O52dGAi84Dx4OApypGqC78cso50dPGs7QxGY2XjwqqvVqvpdIoABtmcsR7Z\n8DC9Xm87zXSsUScBCEsQroPruiy6UgZEmkKLkDEGi07Sea4kjd0ELzEylRBMNCcZJ8E3xvDm\nVB3u7++R4onJEQs2C4xjLUQwD4EWM3bkjWwytvN610rgSdtd1200GtVq1bcDxemPJ8WWdIFL\nvV6vMaTleytKak5/Z2dnOp3S/PmOHrkAQwN04OA4DsU62UgSd/gtYq9Xr16dnZ31+33Xeu+2\n220c70TdJfbtbGzRqBGGyPW2d+XGmPl8Tk8dr5WKnDRen5ycYPsgMY58eTQaYYpk7P4XR6H9\n/X3qcvAecCO4KSGuwB00FosxD9t1XVybi8Xiq1evxK+DhFSEd0Q0XHW4MsQmYWbYN/R6PfxA\nkOhBsOzt7RGajTGiCMSVlOROGnDIE5lgjaEzBD1xCu0ay0+1WuWs6a1gGUBB4VjhNoQ12jXu\nBXZ0qNZE8yd10b29vX6/D2vEHczn857nJZNJ2mqg+8VSytg52Wh4xNnj5OTk9evX3HGxFd3Y\n7nluhNkyPzLGkLp6tg8FQgayPpVKobET4gjii5VMGAwiMjsVId9YYqW4HQqFLi4uqO5y/Mhs\nPvvss1/84hfSff5unrggw/1//4ni3QJOgB09zIPjODgW7ezs4Lr58ccf1+t1szUTZDAYeLZ5\nj/eRzMUYQwJIfXyxWBD3PdvZxTOTyWRqtRq1Pg6AuhYedel0+vDwsFarUYXPZDLkxZVKxXEc\njD05QpwW1us1xmnJZFI83cme6AZkOjVW7oz6dl0XRx7XdbG0XywW0+lU9gHsryGREZbwhlKw\n4pSHw2G32x2PxyRiJOn4DRG8ZM9OAXOxWJDxcc1pD8HjzWw5HZP9IfKjqAg/zlljfyHXHP8N\nWG/RFLrWPikUCiWTyVKpxEdA+wi14jhOq9Xi7uPLwbFhzBSyU7uECudrQKDkxoWsjzP+RDDp\n5MWwLvP5vNlszmYz4Z05HWgW39o2kbm3223PNvjJDkBKf6ydUjil6ZHbxH+dramY2+Rbr9eL\nbQ2HZKlAuyJWWQpVcQQOv/zlL1+9ejUej5lVShzc2Jmez58///DDD7HCMMZQ5hJiNGw9PGPW\nVpSyGKo1wjRtF/R6hWz7MgxJPB6fTqdMTuGJImimUimMJQeDARGZGJRMJl+9ehUOhykJ8v7j\n8fj8/PyDDz4IhUL5fL5cLpOt39zc0BnRbrfT6XQ2m81msyjSeP5LpVIikSgWi3ik9Xo9mRoF\ngwwLzKjGbrebTqdrtRpijNlsBnkCDfKLX/yCNNO3Rqki64ac5RJVq9XDw8NkMknzurESl/F4\njBl3oVAg5URqlkwmc7lctVoVXyd4YYl3LCR4VyFmyGQy8Xhc3EGlAIDVXzabZewv7d2Mxcpm\ns4eHh4jqCHZEZLJg9iIQyovFIplMUhPmCBuNRr/fxz40l8t98cUXTEtgW+baybnpdPrNmzep\nVApiarlc4sjheV4qlVpao210ILPZ7OjoiJ5PUuPd3V26sZEtZzIZ1mDHcUajUbfbpdhArCfj\nrlQqh4eH3W63Xq9DfFPP5Layyrbb7UKhwOzH1Wp1dHT09OnTX+ejGAAoxRE4wK6KZI28RhRy\n3/3ud7FyN8ZQi6MEn8vlZPMuqQ2bU5gKY5Ub4/H4+vr6gw8+YAi0iLSy2Sz0CD2+JDuigUXA\nAEVAVOLRwrN0s9nwEdS7Hj58GA6H0+k0wmGZWfX1118fHBw8ePCAs+OdcaRzHId3dl13OBwm\nEom9vT2OmbY0xLnQnaBSqcTjcVwrORjxPpWjIkBArRBnydk5HRR+9JhILwZxk5zU930+WjiK\nzWbTarVqtRr3aDgcil0G3XqpVGpnZ4fpsRDHjuNUq1VKo6K9Y6/DNuLBgwd09pNFTiaTfr9/\neHgoBdXtlWBtx1Zxgnd3dxwtYxYcx8nn82LXGY/Hm80mUR6nDi4IhBieG6IN9zwPEpnVGl7i\n8PAwGo02m00MQ3w7iDadTmcymZcvX7Io0oK4XC4PDg52dnYYRMDl4sgvLy9fvXpFVz1V0Ewm\n43key7AxptfrJZNJsdybzWb/Q+DxfkIDdOBA6oGPvngYudbtiH4HVLEkOPSV+L5PTx2baMm4\n2fCy9eZREUWtuBqxCfVtS6Gx/GzY+gsbY0gYZRdvrN8QzzbsMPmp/H0kEun3+5Ak8AwkU1Ih\npFplrE0dmwBRUxBtXSvmJWcnneRc1us1dlHhcPji4qLZbNLCQ9ci7XnE7nA4fHt7C4HDthpq\nVSgFhIOyQmzswC34dC7s2k576na7X3311d7eHpaYBwcH6PBqtRpzZDCZItJxAeFtSGN5840d\nIuV5Xr1eZyFkc0PpDyrJWKXjbDZDY0crKXk0V4NZ2nToEENlu4Cqmp0Nn7W7uzuZTNgPhUKh\ncrns2F4nmGg+KBwOc80RyYiwhCu2siiXyxwPuwe+h1i8UtSVEi5s0mw2wyNls9n89Kc/ffjw\nIfpOvjAE5evra/w9Op3Or+HxCxg0QAcO5LPRaHQ0GvGQi61XyM693lhXBzI+/DAp5ZEC86DO\n5/NcLkf2J3Qh74nEiseSNyFGoEvjOYRbJNaLtMP5NqTNYfvPhJegAka6TZJLZKEDkA5pjOuk\ndUVyTFkqGKEr00lc1yXxbzQaNGqLD72ovow1BZQGEGMMs8A9627heR6LDS9hBRIeVhrqMpkM\nCwZLws7OzsOHD+lYmc/nlDfT6XQ4HCazxtFf2kCAsQ6c4S27O86X7Tx/L5ZY3CyyWigsyomU\nZ+kU5d+e9Xrm/aE+qMuxDPhb7X+e53W7XSRALMzYM0mFgNV0MplQVHCtypCvn6xnvnXe4MYx\ncADrEj6XBZLdA19L6pP8fDgcTiaTk5OTL7/8MpPJ8P6w+b1ebzwej0ajRCIh9c/3GRqgA4fR\naITKdcdOrYcYNTZGEG48z2PGnbHKDRE50Ll3c3NTKpUkQFBGRwBH+oMWAl2ascNYfWtgb4wh\nE2dDDUUgtXs5KjjfQqEwnU6pBXGESPHQohhjMMo4Pj4uFouFQgHTUbhU6U8hWSPhMltxQTog\nxAqOwXeYUdzf39P/8vjx4+VyWalU6JKnrEpuLsmjseufhIx0Oo3Mg9Nk6aL7HDacAyN+1ev1\n09NTFk7XdfFjMsawDiE3lAKAsQVG2buQCJN3r62/NheB6brcTRJ/3N1EDkzpmJgOQYxCjn9T\n+gvZFvyVHbjjbTU0cjDEfWMMByPOGMK6pFKp0Led5KReJxVp1zaSRKPRXq9XLpebzSY/d6zK\nUII4ZlIh68BF5zqLd7lcppnQGHNwcPDixQs0P1gPRuzog/cZGqADB4yNUDiQ+RI4jN38kl2u\nrSuYb3veeCwdO1OuWCxC2hr7aG2nP6Qz7I6lki59X8a2L0PLktxJ9zOelrIBR0uA3g5ZG9vb\nm5ubmPXg73Q6CKcKhcLBwUE8Hi+Xy0R/Ake/30eZi5JXhBbGeg1zjiSVLAB4BtErjE7j+PiY\nxDxkLUeoa23nsFxPxLyIF8VogphLLCsWi5wLixksweHhYafT4V5w2NIW5GzNHJG0lwjLpoeb\nwlhFx6rUXStZI+kW/R9zbSQX3t4tiVqDwiwNRJlMRnoIuUrCdMvXY1vRzI2mRCEaFWR8pAUb\nO8NFvpa+1QJyANSWadLp9/ulUkl6oHiV6EAikQid5cbq+YTAkYK2MebZs2f7+/syikHK4O85\nNEAHDtFodDweHx4eDodDgqwxJmat3LvdbjweZwg0W37IjY011uDxowh+c3Mju1TXmivxnKMg\nrlQqhUKBh7/b7T569Kjb7SJ3JdCQlEUiESwuEajyKPKklUolhi1R9jk7O4NwWC6Xk8mk2Wx2\nOp3d3d0PPvggmUwWi0WOOZ/Pp9NpJkwTUIgsjjWl9KydNLEmn8/X63XxNur3+9Fo9Fe/+pXj\nODs7O5PJZH9/v1arSecb3Ct8gsQpUbxtrKUJRC1pMrFyOBwy0YOYRVgJh8P0KKbTaQjWbrfr\nWFtnuZ5CxEtzEC9HoyK3gB9yPAhm5C+5ywgkeCvqw7Kl8H2/3+/LToU1hvWDUptACCLWKteK\nxKlYhMNhxjLI0iJbMQTsBF+J7/TIkByIzBFuSu4+gVsWKhYAlhnuCBVafFekowrW2xizt7cn\nMnAOWxtVjAboAMJxHNKHcrlMuhoKhUhacSZCzszuntzEs0PhyEkJbd988w3fcohXszW7iP1y\noVDI5/PIqhaLxcnJSa/Xu729RQrNQ8tLwuFwJpPJZrMIsMRPB6KA/0Jhn56elstlJK7MdZ5M\nJlgqEzGRSPPEopDzfR9uF/pFtuSEhkgk8uLFC8x38GjGXL/RaMRisdPTUwRq5XKZ6Ller7HV\nl6Rb3g2qF24HRpvYSjSfz+dYXGI5vR0xHceh540lM5VKdToddipSjpPdBgF6Op3e3d3l83ks\njyWtlsYNiml0JEliyx4lZkc7smESxpybKMOowlsuRQQ1UU3wTWAJQT8jriPY6cHOi1mKXKuj\noyMUhNInJbdDWHWW80gkwnpJziu7B/mOsedY2dk0bCOkyEFVlv0KcZl/O1s9h6riMBqgA4j7\n+/vj4+PtjNgYc319baw//XQ6xcIC0panZTAY+NYMnswIh+izs7NWq8XYZoKUsZOiTk5OYE4H\ngwGj9jabzfHxcb1eJzjyzNDxEYvF3rx5Q1Djt3QllMvlbrfLD5HHptPpBw8ePH/+XCRxCE4o\nXWYymfPzc1FlkfpNp1OEa4lEgpnTbPm5IPgss5NggAs2+Z7noVOuVCq5XC6bzVar1XK5/O//\n/u/Hx8eTyYTu4dvb22KxGA6HLy8vIXCN9fFhCOyTJ0/okKSDw7VGVFhDyOIHC88OQ/YWxubC\nXEnSUt+OVST8bQdijDKIccvlcjgcOlZC4/s+eobd3d23b9+SPhs7RJgFIBKJMJELzQOjcmu1\nGr7YpKUUDFKplCT7yGNI1XGq4rXbxUNok3q9TgdpoVDANYm+dm69vzVuHDuRR48e7e3tLRaL\nu7s7mY3rOA7yR+4+KyhD5XHs4hu7v7/PSB3mnyFPkpkSskK/51A/6MDhb/7mb7744gsahYUu\n3NihsTw/xhjCN8kvPdzbFS1jDM3E7CtFPwD353leqVSCCM7n89PptNVqUTobj8eJRIImCFLv\nmJ3mKew2D6G4QDx9+jQSiWSz2XK5jLkdtSNaMFar1WQywT7YGNNsNnFWk807P2+3267rZrPZ\nN2/eHB8fo1gwNuvv9/sI+BjYStDc3d2FdGY6H0k6fX03NzdERlaXcDjM1Cv6pKXqRR7d6/Ww\nYzVWz2Bsw/1isRgMBjj6s82PRCJM9pOKpeS291sTIEUhs9lsUqmUmJmQv/MRsBPkjEL0G2OI\n4Fx5smnfTiohyhMrB4PB/v4+TiNcZzYl2DZhdRQKhRB9y9aBoE8wJTWGZ4fFRg5IPyfnxW/L\n5TI7jHw+z4kjuqjX6xs7vQU2mdO/v7/nTWT6D8vVl19+WSwWO50OrT3cU5KParXKHXddt9vt\nzmazH/zgB3/2Z3/2jp++oEEz6MAhHo/LIAyytrV18MGAAskEz+rK+pGSvCCR5ulCiUUPCLoC\nOhr4d7FYDFnXOoaikuFS1OJzSSHZkxor6hBCk6M6Pj7e2dmpVqtoGPr9Pl15sqgYY8bjMboU\n8srxeEzCSKhdrVZkT8aYwWDA5MNQKNRqtXgt3WWwFtCdRI1sNhuyLcUoN9i8k3OgKiEeJZPJ\nQqGAn0bIjndyrBMexJFcf0lZsAYsFAqUUvkJlhRCDhhjnC29uWgWiaohOy3Mtw33ju17huJw\nLGAkeEPeihC/3d4CHc+vjDG0wzh21KFnG4sIsqwlCHUymQyCH+z0cCJcrVYIq9ELbTYbLKoj\nduAklw7TLoQWDx48YKvBl4Ehahw5mwYhTKCwEReFrPsdVYp6ve5YpTx9/Li4JJNJthrRaDSZ\nTN7f38NNv+fQAB047O7unp6e4vlA/YeAa4yZz+eFQgGjLxIZ0iIUHeSM6/U6Yt04eZV4/GOg\ngd1SOBwWea8QFyR0WCnx+PE+xvrfE9G2a1Y8jfl8Hop2Op2i/cJRiOeNdmHkFmRtHBtnV61W\n6/U6T6mEm0gkgt0oymKYU8lM0YYXCgVoTSyKeJ6lNuX7Pj9Bm5HNZmEwpILnbwkKnS0PaCA/\nhxmXfcw2uSHCcGMMJIbUOSXscmt4E+FtpA5mvq0rlwNgayJVR0m6RfhMHi36P14igo1QKMSs\nP1TwpPAkuVh+M2cH6QsECA7aXBw5HrkyfEOurq4YPUw4FqWg/CUHIyXHaDQKYw75Fg6Hk8kk\nrUMra3wqVEYsFptOp9xN1Cn3355c/H5CA3Tg0Ov1Li4ueKh4BtihG2NKpRIPFc/Vzc1NLpfD\nQsEY41pZ8e7u7nQ6RQ1GgrNcLs/Ozubz+d7eHi22bIdjsRgv52nBlYKnCCZR5mLwFJFUIgPg\nUaxUKqlUKplM0qwxHA4zmczd3R1zPx88eEBnGnk6lEvIGpzi3tnr9dgIE4OkGLW0c3LprzHG\nIFKGSCX+ymAR/iBmp0BxRul0WlyK2HwwDVZKptvKM4l0AtFXOFa7RnYJSbId2fH94EJx12J2\n1Ijk+M1mE2ZcCI3pdMoR8mckm3y0UFuEMImYwjJvRz0ydInLjEkTgSM+G+l0mi0FY4hl5CDv\nz8Ic3XLHlqIf67SxxlJIIfn+QHdQUdxstZhyQUajEYVEjm1jvQPFFsa1TqTdbpd7xwuvrq5u\nb28Hg8F0On0Xz1uwoQE6cKjX67ThktSQbRUKBWMMJUEyHeYnUYoh6okEFQJXHuzFYvHw4cPN\nZnN2dkbBvd1uYxnhui7FNx5mx3GI+CFrD02gEWUVWq5UKsXPeQJRVtTr9b29PUgM8uhoNMqv\nJpPJYDAghkoGSgJIokSA5miFrpESHGEIUbP01AyHw/39fdlfE/LYsBtjIAE4bBrnFosF419F\nnWJst7oEaLkIsjlwrIpOCHdjjT1FAW2MofvDtbMOIpHIfD6XBBDLi5OTExxEPWtdn0gkWLEk\n+Iry190aMSWfAsMTiURIQmPWEpqebELkarVipBbTAEi9Z7MZ4hnP88ig5ezkZF3bOL69Vnme\nB2PGnHXHTv7m3o3HY/rpZfOxLVYRunxlx5lzm2A2Ntbvv1QqbXcMUjxot9u9Xo+S6XsOFbIE\nDjw8NLnVajXf93sWt7e3FxcXjuOQo0GDsI/efuRwZmB0tJhwJpNJftvv9+lg5lW0dRjrMW+M\nYSqH67ocwOPHjz/55JPPP/88m83WajWsy7DKhMRkVund3R1GZRs75Xa9XjcaDdJtwi5VTYLX\nixcv8KzgUcfpWAKE67o0KB4fH3OaTLlmn+44DpVGSVFxR6NvBfaTkC30DmMMWZNYBuBeYXLR\nRzMnzLH9I2zDJZfkMsZisX6/z8aCjT+/jUajdOVxDJ71XTJWBy31SZYBtCg0pJB3hy1k4WQr\n42+BrQDHTxAfjUY7dkYMd+3o6Ojk5IR1gvcnN9+u7hJhIU/kvm82G+q6jJo0xqC92Ww21WqV\n9QNxJ54blCtIGihEh+yERhZItmXsPLiMFLQdx6E8G4vFRqORsPbhcJjJL9Jq+Gt7CAMDzaAD\nBwp0y+Wy2+3e3t6KVZuxrd5UbCJ2nqzkL5IVktjC//q+T4ik/xt2jx5fWAiJMlClEWsKAVtd\nKpV4n9PT00ajQZzih74dIUrEh4uAeEmn0xT3RqNRpVKhVEVomM/n+OjzuWFrpSYdd5LPssOF\nGDk7O+t2uyIhIPKiUePcaZ+RSppwDq5tfd7d3RVlhTRh8lb0W3KEbFCIfRvbPE0EgXUlOPKr\nsDXWkBXuf7DYUtMTbSI/ZMfAKstRsdySXOMyGAqF+v0+RVHhXrbFGJKQwgXJZujg4MB13U6n\nQ08Timxnqw4ZDod7vd7+/j6rglDGrNbtdlsEjrJe0uPDdgSPU76Eo9EIBSeVBrkgMlrXcZxE\nIiHUP/eabyPnK3IdGlhqtVqj0WBrpY0qRgN0AMGOmA0yu1Tf6k8JizTvEUN3dnb6/f50Ov3e\n9773X//1XzAhdJqsVqvRaPTw4cP1el0sFqGeXdfNZDL0ZYxGo3g8LhtJYgfMCdO1SZRSqVS5\nXP6Xf/mX3d1dFH6DwWC7RwO/TZ7z2WxG84vv+wcHB91ut9vtYkXUarV4CA8PD0k5pSGNJJdg\nhGhEymKO4zDkkCQ0bOd38HFcFnJn3/eZm/X69Wus3VZ2KrbruvP5fDAYiIk2ihQS4c8+++zr\nr78uFAqO4/R6vUqlMhqNlstloVC4ubmhuoiIjbXq+Pj45cuXkAbEo5ubm8Fg8OjRI/HpN8bw\noff3948fPz4/P6cxXQhxLiB2JdT6IpEIaxJ6ZwnNXAcsLCKRyHA4xDZ6Y9u1s9ks42P4tlCu\nID+t1+vFYtG1Y3c4NpLTdDpNiB+Px6VSCV0KDDUkFfpLYjQVPMmLO50Orfmnp6fQcTjKGmPK\n5XIqlfryyy9xuZvP52iESAX4GoTsTADPzv3ha49Z0t3dHd4mfNnec6gOOnD4y7/8y7/92789\nODgg8REm2hiDqBZFasTaFZGQ3t3dffLJJySVsVgMn3g2pPF4nFna+Eevranxzs5OsVjcbDao\nLwhDEKPpdNp13Ww2WyqVEI2wHkBH0sZNZkoEp8pEIYiD+f73v8+MPkjPUCjEoNJUKoXVkWtb\nGDCA7/V64rImU6yMMWx+jTEcNoyN2ZohQrRaLBbimJHNZnGRp16Kwhp+AMG4NP6R2s/n81qt\nRtN5Op2mGToUCg2HQ7bzYeuFQnh98eLFhx9+iKM/B8mM1JubGzlOjpmMlf/1fR89MqtaOBym\n9RFE7GBZvgOedYBzbdeMMYaYRUTmOMUnZLvbkFMrl8voHefzeT6fZ3uE+Ge1WlWr1VarBY+x\nu7tLGsvKgWUKshn2JeyHmCAOH8JOi10ObxIKhfhOUsROJBK4HXHwKDjFKJHjRNizsQMkV6tV\no9FAeI52/gc/+MFf/dVfvfsHMFDQDDpwYN/KBlBqOGyiqRzKxFK4XdpPcrlcu90WGenu7m6t\nVjs+PmZwH3bySNl4PNhTUysP2zGjRDE0WBAFFKAoNPV6PQyXxXOOZJZoK9ovmNbz83PeNpFI\n0BC8WCxGoxE8rzFGTI4gYY3VlpF58Z7GWlsQfdZ2EJ+x/CZ+dRINiWjL5ZIFBlKFPXgkEoHj\nRt8t/EY4HKazg2PgVwQ+iGw4JSgFLlG1WsWLI2Q7AGezGZJeYTy4cZwdf4YSfLtHju4bkmVp\niTbGTCYTfumVXfgAACAASURBVC5kDuwtJqv0IjIw1xgDL8wmhgydj0Yu4nleLpeTVZnwTV8f\nNQlJrmVrwpXn37D/oign3IvvqzFGRmVygr7vMyOGk2XH43ke/n+cu/T0Uylh2TbGID6ZTqdc\nUm7uu33ygggN0IEDpAEtG5TIjTFkGVCfUmuS3i2eQPLH29vbw8PD09PTs7OzSqXSbrfnFtTf\njTFELib+dbvdQqEgUios9CC7SWmZVjedTvv9PjoNxHaiAZDEir4Jeo6l3sgkJ7JIHnIiEX9D\niSlkh+kRMUXmxSEZY6JbA3DlHQhYnjW948GmJEV0Q1SAfmtjTSpY+Yiboh0Wkneb0Oe86MgI\nW6dpKmn0mju24cW3WmBj9TCSJ6JpYzsyGAzkVvq+P51O4YtpF1zb0cDSJM0VhgvyPK9YLDLm\nlQ5J/Jf5CErKchh8tGTlMlzG2GZUKRjKp3DTPdteKHfWGCOKEcdxKAMQ5SW753xFF8R1YDvS\n6/Ww2YLtIflgB4NJC71UXBaKxnh/w3397z9tQYcG6CCCIdPkNZ711DeWkL24uECDgWLB2JZl\nMkSeFojdUqnUarWos1F08jwPAQZbzng8TszlKSV1jcfjPNJQolJ2oxFRnIJ5Sa/Xy+fzk8mE\nvXC9Xsc3o1KpsMOdTCa4bZAywy/f3Nx88MEHsMBocl1r1AkhC21tbPsD/shEcLJFYwwfxAuN\nNc42Wx00G2sYxKGSElLlm0wmo9EIMyNjjBTiiGIk2sYm9Yh5/a1+a9EC8r+iXzbGIGyIWoNp\ncTWiEGqsSoeKHG/IWaCfM8YgOGFpgRxA6dzpdFjtGByey+VETxKxw2pZn0QXaOxORa4kBtPb\nC5J0D5I7U58QBpzNHJeIJZabxW6GojFd3fF4HHKfsjYc0WKx4Kzz+fxms6EmwfeB0x+NRm/e\nvOFS01zDjlBKte85NEAHDjxFpC1ki9ICsNlsLi8vqQES7HhO6CBAkMD+kUqg7K9vb2/5G/o1\neC2yMKLAxnp9OI6DmScPm7813ISoxGbftwISSlv8zZs3b3Z3d5kvzqgOhqHIu21sp/jZ2Vmz\n2azVatIrLLF1Y22UeT7JeY0xLBuQyByP0K9IgKUlkp+brSY3IhT0BYddq9Wq1ep8PicXlkqM\nsMbyQpJZqQcaY7Y7SiR/l7+HVTfWmJslgXOR7Yux4dKz3kZkuwRoaCvuHZ9FOizj2Fd2Im2r\n1cKwFBMi33pr+LbL3Nj+cuDaniN3SwDOdeM94YIwTmGLA39ibOnS34IxhgANIQ5jxp6PigWW\nIFSbuYPX19fX19fj8RhPFeycGG0Vso4icGgbdbMzxmiADiD4ZsOuIvKl+YrfUmEnmyMt3dix\nb+z3yWrfvHnDXrjT6bx+/doYMxwO2aeTtfHCVCqFC5KxHK7nebSAO9ZXGvIX/potNnQtMWt/\nf//LL7+ExGA7j4AvkUiMRiMWA9hGGJtms8k2Fl7btzb5ju34QLqLNlmOin53clIuAl2F5JLG\nUtWELSF5JbxCsGDTQ1hk+ipvxYTTpZ3PhLQAcQUGI57tciT8IW7ZvmhSrCO9lfYZbhNJqHDK\n7IfYi/h2nBVvyNl5npfNZkejEScliwGKnUqlkkgk0uk0U8xpXGQBZggLizdIJBIo3rytQV+u\n66bTaSxtWXukIFkoFM7Pz1kC+fqtVqtUKgXhQFlPRluxAqXTafxJWOO5bvxwPB43Gg1mSzJu\nnFRdLrUxptPp0P2EsJ07K4LLd/XMBRcaoAMHfNCPjo7C4XAikWg0GrKpJ1zyPYYXxhiBDg4Y\nTPQS3W6XONVqtQaDAflXuVymZL9arajkIKsgRXK3rP1928Mm48CHwyFtb8YmZWzwnz9/nslk\nCPdENzFFo47/9u1buG9U1dQJOReeQ6qIhEuEEwcHB5J1ElMIZJKBSucL9IJn9XbSLuFZEOA4\nNjS8iUSCkO1uTTlBwytCiJCdFQAX79imcGSOcL6SModCoXQ6TY+ysWmpv9XfjEaYHHlj3ZQk\nAG0nvN6WHhmViERn/n40GkF/wfiHbLup53mEZtYtuZvbbLLk7I7jJBIJfJwda+fium40Gq1U\nKigIWZxIt0mih8MhUnq5L9Rjid3b9ysajabTaUrWrNbD4bDVanU6HfwRAbNgZKVkejrXQSjv\nd/bQBRYaoAMHJo8w6m04HELwQQdPJpPT09Ner0e2mE6nT05OBoPB3d1drVYzloetVqtYMFNp\nbLVaiUQikUjkcrlkMplKpRzH6Xa7ENzkL0igMJZsNpvs+nnYHMehXJPNZiVWEhzX67UYUQpp\nSCmp2WweHByMRqNHjx5ls1kEDN1ud7lcsjYQZF3XRVNF51s+n3cch50+WTBJ8evXr/f391++\nfLm3t7ezszOdTpPJpOu6CK7dLV9mynHn5+ek0nCa7LLZuUuC6dmGcpLiwWBAh3Q8Hj8/P3/y\n5AnEOtGE1ajVasmgQpGOeJ7XarXgT8RbQ1gIicv8nJMaDoe3t7f7+/tMcHesFC9iB7hw3+V6\nUj/c3d0tFouydkbtbJpqtfrjH/+4WCzCrXPM5MW+7x8cHLDK8umsRmxQQrYNh3DPun54eBiN\nRofDIVTDarWCszo7O4PLIslFqkwTCosif3x3d3d3d9fpdMLhcL/fb7Va19fXl5eXXFgGHTBM\nkhkI1A+NMdFolOE+KLhx4Pp1PH/BguqgA4cf/vCHP/7xj13XrdVqqC8QXRljotHo8+fPYQAw\nkHzy5AnlRHJACj5EYao319fXKFgdx6Fdpd1uI5xCPba0s0o31gQH/pH4Ip4b4qhnbD8YGaIx\nhj5px+qgyQchB/h28T7CPEDRkB7SD4K9pGyrobaFQsUE9e3bt9FoNJ/PM2ZbymKU4xAnEClG\noxGepb6dcEq4hAcQR2zfis/Y0UfsQCZmdU8mE+quQlsTjxj1jWu+sQVJ/KGQ37D/QPoCG4DK\nmGvFFUCYwUcImRuyPqKe9a6SXxH17u/vccviI4wx4XCYyTKVSqXRaECwIOLmxKkQQGVIGGW5\n5XLJNkKqmnyv6DJfrVaHh4cQL91ul4IB3UDIELnjbBqMMdBQrutSDGw0GgwqcxynXq8Ph8PR\naNRqtVizSSyQqxtjMOxmnctkMslk8k//9E///M///F0+egGEZtCBA19QYwwa5EePHn3zzTf8\nZLVaZTKZ8XicTqdpRZGk2Ni4uV6vYR7X6zW6N/QPoveCGOH5JLOTrT35Ebt+4QE2FhKUhS8m\nlBMCJChIJigdwxwV/6ZeBFlxf39PQjoajejaEBKW2TG8BJ2WtLajxyLJClt7TD43mUwy2kP8\n5tFREEGi1p9TNIsQPpwRh4EAZm0tXkO2RZt7QdA/OTlhKIyxdUiaXNitc6mlPZLYJ8IJknG0\nGRKCHTv9IGpHA6OXgGRoNpskzvBaItRhgAt3iqkxk8mE3UnIzvFCqCPSFJQhXA25LBJeidSs\nfCwnvA9fPBTl9KCHreWAyMkdx6E5CBVjJpOZzWY3NzfoPvv9vm+nycTj8Xa7LZ1KNCgZY/gC\nOI7D+RYKBTVLMhqggwmYPpIUGEMZNXRwcEDb293dHZ4YxtrXUTEnPwqHw3RkURU01mkMNwwm\nZoWsK7yxs/so6BEXRFgtQg4e4LU1suAnZPdr612JpEReQiIsljqOVbkiy2UUNO1tEMQ86iTy\nkteHw2GaD0nZJJ6KHty1bSyww1xDYZNZlvhf0nbCJYcnpx+yQ3LRh/ErqfWx7+ZoX758SSbL\nr0LWvgNJr3Q8ko1K8whHJQSF3GtOGQWxaGlY6owx9/f3jEvnVVDSrvUshG0Q5rpUKsFm8OVh\nJyG91BJ8XTvGm7MToilkBypKOi8rQaFQgIOSu0xRlNDPzWLIlqzlr169wr3P933a0LGBXq/X\nn3/++enp6c9//vObmxtmdxlj+JTlcvnhhx8WCgUWg3fwrAUcGqADB8hH2Thj/iCyXIR0aE6j\n0SibaFpsCUYoYX3fp5uOZ4zkmpIO1C0bXmwk6YwgjKIKIPaRSPImbNipRpIb3t/fMzyQtDRk\nndtoP5PckIORrjCWHCFe+UcmkxmNRqR+TC0xxiBcIUmMx+NPnjyBP4VqgImW2ESri3TuUZ8M\nhUIXFxeFQkEWlbC1wWT7T00yYi1JE4kETk/UFVl7ZrMZ3sfM/bu9vYVo5ko6Wy71XGSpAaJU\nIR2WbUcmk5GJM+bbMr5tshENOFcbkpf76GwNZOEejcdjJJU064fD4Z2dnXg8TqrbbrebzWa5\nXGbd5VOE2JFL59gmTA6VXpJSqYRsDp4EmoWsXFYLAi6MDVHeGBOJROr1OvsheBLf99mpoEF8\n+vTp7/7u7zYajVevXhnbuePakceyxKphv9EAHUAQF8h3JpMJY1LJi+U5lGeMGjo6AWOlEbxW\nKEKyS55Mkh0RJ8zn89lsJs0L/EqoEjImXsvfEH34m3w+j5jBtZDim8Qa35qgSkLKX/JDCW27\nu7uj0ej+/r7ZbLbbbXoRo9Y/mjeh15mT5Tn3rTcFYQ4mOhqNTiYTnnPP805OTghwbEfC1t7e\nsY3a9HlThSOO0CdijAnb+WHr9ZpCq7wPC1LYTi0guklCzYV1rLngZmuoIKYWUjD0t/pifNu5\n59kR2ttaEbmqIvbgSjKFPRaLDYdDY8x6vc7n851OB3Y7k8kUCgW2DrBGXHOILOFe5A7KDgm2\nnTIdPU2cF1dPTodvFAF6PB7DcUej0V6vNxqN+FASZ75UVCO++OKLer3earVyudxisWAl9q3Q\nkG912Bpnv+fQAB04wI2iYmbjTP+FMYYKOFoxYww9ZmQcpVKp2Wzyctksk4LBQYuJJZGlUql8\n8803ZOKeHepsjKGPmaSGdq9QKESumsvlCBm9Xu/o6IigNhwOycVcO6ArnU4vl8tWq1WtVgnl\ntVrt+vpaZtcSdFg/IHD4OX0oxhh6H4SQxQ6J2pRrp8a4rruzs5PL5RAUkqARO5B2cNFwepKY\n4tt2Z/kJ15CgGQqFarUaTAXbC9/30RfC2yAQpEQWsaNh3C0YS1lwVdnd53K5YrHYbre5EcJH\nLxaLVCo1Ho+RNjNFwRgTDocvLy+fPn1K5OILMJvN8LyWTQOgvbPf7xeLxcFgUCwWl8slhkd8\nncbjMeb9bAVYsHHfxhYjFovd3d3l83lZyahPSEf4ZrNB6CIMjLBPGGiQs4esj0csFnv16pXr\nuiy6JBME9KurKz6oXq9LMxFn7dlJPeTvHMC7euaCCw3QQQT+CWLQw67W2CKhMYZKPRb+pMbl\ncpkhFOSqRAG2n5Cw8NShUAh2bzQaUTSTkL2xppqdTofKOyKqTCbjWy8LSkBHR0eMayKNJa/n\ns2A8k8kk4pO7u7tsNttoNAgcxlYOfTtrAw7UGEN2hrVTLpeDxDDGEJ1F4i3LFcY9FCpJe6XD\n0BhD+kaIlJ27XEZvq/0PheLV1RWniX8b6xZt6MYYIjjhnt0JrcxhO9SKw1iv11xqY6euENpu\nbm7G47HrulE7sovoycWn8SeZTN7c3PjWd+Xs7Ix9AO8gMnPXqsKFQeJOoY8ul8vbE8JIlum3\nht+XRZTbxAXhU6RjcL1eS8lXTkTE4GYrQPNvcYNh91atVtHm44AqezgCNEUUmCi+bHDcxo41\nYNcSj8ch397BsxZwaIAOHDALffny5f7+PoX7fr9Pyryzs1Ov13FLcBwHJ7BGo4G1v+d52HHw\nDA+HQ5TLxWKxXq8/fvyYPj1aE5nEQbCgrWA6nY5Go9vb21KpxBMlE6yJ8p4VDi8Wi1gsdnFx\nIaOjt7sw2u32ZDL5+OOPu91uIpHAR/j6+hrONBqNplKpYrEIpSu8OX0NfBzWIuL1nE6nSWCJ\nFNRCXeuDQewmpLL2YNGXTqdRW8tA8XQ6fXl5SYaL6JuQ8dOf/vS3fuu3INnBwcFBpVJ5/vz5\n5eWl53mY4nPWiHkfP37s+/52W13Izh5E6gsnk8/nT09PI5HIl19+idURV2lnZweiZmOtl6S1\nx9gQKYOspIsEBjyfz+MGLtUIEl62SuxLhFL43ve+98tf/vL09JTVmniaSCS63S69f9xBROJc\nk729PUbVcClYmFOpVLVaRaxCIQTVHdwLHa2hUCifzxcKhbu7u/Pz808//RQxKAO32Hudnp5u\n7OQw2l5E3sPMTIbNG2Ng6n5dz2BwoAE6cGi32z/5yU+Oj4/JoNmh07vBY0DDFSHg9va2Vqsd\nHR0NBgOKNo7j8HDSxo1C6+OPPx4MBg8ePKA+nk6n+/3+YDCg7odNR6FQKBaLjp0wAg1KZ7nj\nONVqFTbDtTNKHj165HkefguwzFQLHzx4gP4aN3qOpFAo+HZunud519fXDH4NhUJswOfz+ddf\nf53JZNgji4QOTgPCBGJUYhMUMzH6/v5+Npt1Op31er27u1upVFhISHV5Q0ymCIJkdovFYrPZ\nPH369Pr6GmOQbDZLKj0cDuWSIlGAZ7i9vT09Pb27u4O8jm6BT+Qi4OXNDJrJZELUE5KXjJhA\n9vjxY9d1EURuK3AgWMg0V3bK9dHREenzZrNhMiQc16NHj1jFQ9aijz3W3/3d3z19+lQ8PFnC\n4amlosjBc+5wMkjj6e7JZDKVSmU2mw0GA2I6lBod5OwJCP20ouDNvbe3R42Uw2NVu7+/L5fL\nuVyOzDpqZ8mzG2i320+ePEFTz3cM87/3HBqgA4dEIlEoFKj1i/WiZBNkHOSziGd7vR6b5XQ6\nTbZFWkfsu7u7S6VS8Xi8Wq12Oh0xr8D0mf04mgfoQkz6Cd+k8KTqpHX+lm8ngZvHCU0FoubF\nYiE9ezz/zMjgf31rT8Fagj4EZTfkNaPHSa+MMYRsnmpyavgENAm9Xo84ZaxDNGqK6XQKVc36\nwZlGo1GGdHA9pU7IwgNZhHEEmR0GQFRoESYT6xnZx7WCYYDrwJEVxoDIxdsWi0UZVou2gZQz\nm80eHx+jh3O2hmobY2Cf+De3ki0UI6ZIb9d2jEMoFJrP55jDURwWIU2pVJL6sBQh0c/wcZvN\nBo9DPpq0nS0LK3SxWMTIm+7B+/v7VqvF9efThRZ3XffFixftdns8HnOzoL8YiYCEDiaHQ2UN\nFrbkyZMnrAGQG7KFes+hATqIkLqZ1G2kLBOxIzmkwYx5gPl8ntYDFBckUPF4PJVKEQEHg8Fs\nNisUCrg5dzqdBw8etFotx/YsiLYhEok8efIknU47jnNzc0N9CeHHNvvJoUJ0YtPT6/VCtnuY\n3zKBkHqatJ9tazzW1ki+XC4TT9ELQkQaY5gUhZ5MdBG8PJvNSmPI2loaichX5NLi1QfpSVwQ\n1ZocCYkhjYJIDxmh7VjIScmr6KenEst9gVunc50Lyx6Cg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"text/plain": [ "Plot with title \"Soft, SNR= 17.6274531400339\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(fSoft), paste('Soft, SNR=', snr(f0,fSoft)) )" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "One can prove that if the non-linear approximation error \n", "$\\norm{f_0-S_T(f_0)}^2$ decays fast toward zero when \n", "$T$ decreases, then the quadratic risk \n", "$\\EE_w( \\norm{f-S_T(f)}^2 )$ also decays fast to zero \n", "when $\\si$ decays. For this result to hold, it is required\n", "to select the threshold value according to the universal threshold rule\n", "$$T = \\si \\sqrt{2\\log(N)}.$$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Determine the best threshold $T$ for both hard and soft thresholding.\n", "Test several \$$T\$$ values in $[.8\\sigma, 4.5\\sigma[$, \n", "and display the empirical SNR $-10\\log_{10}(\\norm{f_0-\\tilde f}/\\norm{f_0})$\n", "What can you conclude from these results ? Test with another image." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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BUOkezQhjbb2d6KVt/ybR3q/MAPhsSIiKB1a/LmZd063n+fwoUNSSG2xMmJV14h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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=6, repr.plot.height=4)\n", "\n", "source(\"nt_solutions/denoisingwav_2_wavelet_2d/exo1.R\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Translation Invariant Denoising with Cycle Spinning" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Orthogonal wavelet transforms are not translation invariant.\n", "It means that the processing of an image and of a translated version of\n", "the image give different results.\n", "\n", "Any denoiser can be turned into a translation invariant denoiser by\n", "performing a cycle spinning. The denoiser is applied to several shifted\n", "copies of the image, then the resulting denoised image are shifted back\n", "to the original position, and the results are averaged.\n", "\n", "This corresponds to defining the estimator as\n", "$$\\tilde f = \\frac{1}{M} \\sum_{i=1}^{M}\n", " T_{-\\de_i} \\circ S_T(f) \\circ T_{\\de_i}$$\n", "where $S_T$ is either the hard or soft thresholding, \n", "and $T_\\de(f)(x) = f(x-\\de)$ is the translation operator, \n", "using periodic boundary conditions. \n", "Here $(\\de_i)_i$ is a set of $M$ discrete translation. Perfect invariance\n", "is obtained by using all possible $N$ translatation, but \n", "usually a small number $M \\ll N$ of translation is used to obtain approximate\n", "invariance.\n", "\n", "Number $m$ of translations along each direction\n", "so that $M = m^2$. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "m <- 4" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Generate a set of shifts $(\\de_i)_i$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "dY <- meshgrid_2d(1:m, 1:m)$X ; dX <- meshgrid_2d(1:m, 1:m)$Y\n", "delta <- cbind( array(dY, c(m*m,1)), array(dX, c(m*m,1)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "To avoid storing all the translates in memory, one can perform a\n", "progressive averaging of the translates by defining $f^{(0)}=0$ and\n", "then\n", "$$\\forall\\, i=1,\\ldots,M, \\quad f^{(i)} = \\pa{1-\\frac{i}{n}} f^{(i-1)} + \n", " \\frac{i}{n} T_{-\\de_i} \\circ S_T(f) \\circ T_{\\de_i}$$\n", "One then has $\\tilde f = f^{(M)}$ after $M$ steps." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialize the denoised image $f^{(0)}=0$." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fTI <- array(0, c(n,n))\n", "T <- 3*sigma\n", "\n", "for (i in 1:(m*m)){\n", " fS <- circshift(f, delta[i,])\n", " a <- perform_wavortho_transf(fS,Jmin,1,h)\n", " aT <- array(sapply(a, thresh_hard, t=T), c(n,n))\n", " fS <- perform_wavortho_transf(aT,Jmin,-1,h)\n", " fS <- circshift(fS,-delta[i,])\n", " fTI <- (i-1)/i*fTI + 1/i*fS\n", "}" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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uzPUM0A21T8S3Ygo0OU0Ep+jo5XzuYI4csREWxkuVyG1Uc8CLaq1Wo5nc6lpaVi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k0WhAGpJMJnGyuVzu4OCg2WzmcjljFZG8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\n7e11Op3ttRWiDCQ4xB0F3SGZM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iqJSZ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\nhBBCiNKR4BBCCCFE6UhwCCGEEKJ0/g+WEbWwH7lvtAAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"TI, SNR= 19.4320955628385\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(fTI), paste('TI, SNR=', snr(f0,fTI)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Exercises" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Exercise 1:* Study the influence of the number $m$ of shift on the denoising\n", "quality." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Exercise 2:* Select the best threshold $T$ for the translation invariant denoising." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Exercise 3:* Implement a block-thresholding method, that threshold coefficient in square blocks according to the energy of each of these blocks." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "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": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 1 }