{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Image Deconvolution using Variational Method" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour explores the use of\n", "Sobolev and TV regularization to perform image deconvolution." ] }, { "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.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n", "library(pracma)\n", "library(imager)\n", "\n", "# Importing the libraries\n", "for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n", "}\n", "for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This tour is concerned with the deconvolution problem. The measurement\n", "are assumed to be blurry and noisy:\n", " $$y=\\Phi f_0 + w = h \\star f_0 + w$$\n", "\n", "\n", "\n", "Where here |h| is the filter (low pass) and |w| some noise (here assumed\n", "to be white Gaussian).\n", "\n", "\n", "We consider variational deconvolution methods, that finds a regularizer\n", "through a convex optimization:\n", " $$f^\\star \\in \\text{argmin}_f \\frac{1}{2}\\|y-\\Phi f\\|^2 + \\lambda J(f)$$\n", "\n", "\n", "\n", "Where $J(f)$ is a prior energy. In this tour we consider a simple L2\n", "prior (the image is assumed to have a bounded energy), a Sobolev prior\n", "(the image is uniformly smooth) and an approximate total variation (the\n", "image has edges of bounded perimeter).\n", "\n", "\n", "Note that the parameter $\\lambda$ should be carefully chosen to fit the\n", "noise level." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Image Blurring" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Deconvolution corresponds to removing a blur from an image.\n", "We use here a Gaussian blur.\n", "\n", "\n", "First we load the image to be inpainted." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 256\n", "name = 'nt_toolbox/data/hibiscus.png'\n", "f0 = load_image(name, n)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initial image $f_0$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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\ncxwAAAAASUVORK5CYII=", "text/plain": [ "Plot with title “Image f0”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "imageplot(f0, 'Image f0')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We build a convolution kernel.\n", "Since we are going to use Fourier to compute the convolution,\n", "we set the center of the kernel in the (1,1) pixel location." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Width $s$ of the kernel, in pixel." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "s = 3" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define the convolution kernel $h$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "x = c(c(0:((n/2) - 1)), c(-(n/2):-1))\n", "mesh = meshgrid(x)\n", "X = mesh$X\n", "Y = mesh$Y\n", "h = exp( -(X**2 + Y**2)/(2.0 * s**2) )\n", "h = h/sum(h)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Useful for later : the Fourier transform (should be real because of symmetry)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "hF = Re(fft(h))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the kernel and its transform.\n", "We use |fftshift| to center the filter for display." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAX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", "text/plain": [ "Plot with title “Fourier transform”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(fftshift(h), 'Filter', c(1,2,1))\n", "imageplot(fftshift(hF), 'Fourier transform', c(1,2,2))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We use this short hand for the filtering.\n", "Note that this is a symmetric operator." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Phi = function(x,h){Re(fft(fft(x) * fft(h), inverse=TRUE) / length(h))}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Apply the filter." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "y0 = Phi(f0[,], h)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the filtered observation." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title “Observation without noise”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(y0, 'Observation without noise')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Variance $\\sigma^2$ of the noise $w$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "sigma = .02" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Add some noise to obtain the measurements $y = \\Phi f_0 + w$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "set.seed(123)\n", "y = y0 + randn(n,n) * sigma" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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\ngAYY6r+g86+PqZyU4AAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title “Observation with noise”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(y, 'Observation with noise')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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", "text/plain": [ "Plot with title “Observation, SNR = 16.89 dB”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Normalize to 0-1\n", "imageplot(y, paste('Observation, SNR = ',round(snr(f0, y),2),'dB'))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Deconvolution with L2 Regularization" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Deconvolution is obtained by dividing the Fourier transform of $y$\n", "by $\\hat h$.\n", " $$f^\\star(\\omega) = \\frac{\\hat y(\\omega)}{\\hat h(\\omega)} = \\hat f_0(\\omega) + \\hat w(\\omega)/{\\hat h(\\omega)}$$\n", "\n", "\n", "Unfortunately this creates an explosion of the Noise.\n", "\n", "\n", "To avoid this explosion, we consider a simple regularization.\n", " $$f^{\\star} = \\text{argmin}_f \\: \\|y-\\Phi f\\|^2 + \\lambda \\|f\\|^2$$\n", "\n", "\n", "\n", "Since the filtering is diagonalized over Fourier, the solution is simply\n", "computed over the Fourier domain as:\n", " $$\\hat f^\\star(\\omega) = \\frac{\\hat y(\\omega) \\hat h(\\omega)}{ \\|\\hat h(\\omega)\\|^2 + \\lambda }$$\n", "\n", "\n", "\n", "Useful for later: Fourier transform of the observations." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "yF = fft(y)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select a value for the regularization parameter." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Lambda = 0.02" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform the inversion." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fL2 = Re(fft(yF * hF / (abs(hF)**2 + Lambda), inverse=TRUE)) / length(yF * hF / (abs(hF)**2 + Lambda))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nAAAASUVORK5CYII=", "text/plain": [ "Plot with title “L2 deconvolution, SNR = 19.13 dB”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(fL2, paste('L2 deconvolution, SNR = ', round(snr(f0, fL2),2), 'dB'))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 1:** Find the optimal solution fL2 by testing several value of $\\lambda$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nBMWCJiISFAuaiEhQ/w8qPhUqK7ExNgAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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", "text/plain": [ "Plot with title “L2 deconvolution, SNR = 19.25 dB”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/inverse_2_deconvolution_variation/exo1.R\")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display optimal result." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Deconvolution by Sobolev Regularization." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "L2 regularization did not perform any denoising. To remove some noise, we\n", "can penalize high frequencies using Sobolev regularization (quadratic\n", "grow).\n", "\n", "\n", "The Sobolev prior reads (note the conversion from spacial domain to\n", "Fourier domain)\n", " $$J(f) = \\sum_x \\|\\nabla f(x)\\|^2 = \\sum_{\\omega} S(\\omega) \\|\\hat f(\\omega)\\|^2 $$\n", "where $S(\\omega)=\\|\\omega\\|^2$.\n", "\n", "\n", "\n", "\n", "\n", "Since this prior can be written over the Fourier domain, one can compute\n", "the solution to the deblurring with Sobolev prior simply with the Fourier\n", "coefficients:\n", " $$\\hat f^\\star(\\omega) = \\frac{\\hat y(\\omega) \\hat h(\\omega)}{ \\|\\hat h(\\omega)\\|^2 + \\lambda S(\\omega) }$$\n", "\n", "\n", "\n", "\n", "Compute the Sobolev prior penalty |S|(rescale to [0,1])." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "S = (X**2 + Y**2) * (2/n)**2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Regularization parameter:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Lambda = 0.2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform the inversion." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fSob = Re(fft(yF * hF / (abs(hF)**2 + Lambda*S), inverse=TRUE)) / length(yF * hF / (abs(hF)**2 + Lambda*S))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nWwAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title “Sobolev deconvolution, SNR = 19.32 dB”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(fSob, paste('Sobolev deconvolution, SNR = ', round(snr(f0, fSob),2), 'dB'))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 2:** Find the optimal solution fSob by testing several value of\n", "$\\lambda$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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\npdmAAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg\nAElEQVR4nOy9e5BtRXU/vrr3mffcCyLIQ1FAIlShEo0WKETLi2KkIihIRNRAyAN8gAmaGNQo\nJlExPlKIxhiNWooYH6hohWCCYqEoMUZAUEABUxLk+ogEuHdmzpnZ3b8/VvXn9+nVe4aZ4d4v\nO0x//pg6c87evfux+7M+vXp1t4sxSkVFRUVF/+Af6AxUVFRUVHSjEnRFRUVFT1EJuqKioqKn\nqARdUVFR0VNUgq6oqKjoKSpBV1RUVPQUlaArKioqeopK0BUVFRU9RSXoioqKip6iEnRFRUVF\nT1EJuqKioqKnqARdUVFR0VNUgq6oqKjoKSpBV1RUVPQUlaArKioqeopK0BUVFRU9RSXoioqK\nip6iEnRFRUVFT1EJuqKioqKnqARdUVFR0VNUgq6oqKjoKSpBV1RUVPQUlaArKioqeopK0BUV\nFRU9RSXoioqKip6iEnRFRUVFT1EJuqKioqKnqARdUVFR0VNUgq6oqKjoKSpBV1RUVPQUlaAr\nKioqeopK0BUVFRU9RSXoioqKip6iEnRFRUVFT1EJuqKioqKnqARdUVFR0VNUgq6oqKjoKSpB\nV1RUVPQUlaArKioqeooHnqC/8Y1vvPSlL330ox89PT09NTV1wAEHvPjFL7788svXneAZZ5zh\nnDv33HN3XB7lwgsvdM496UlP2oFprg/btm1zzjnnlpaWHui8PDDYsW3x3ve+1zl35JFH7pDU\ndhRW2SluueUWfRn22muve+65pzOpd77znc65X//1X+cvDz74YNeF8fHxvffee8uWLRdccMFo\nNNpZxasQka6+fO2115oWeYAJ+tWvfvVv/uZvXnjhhbfddtv8/PzCwsKPf/zjiy666FnPetZx\nxx23bdu2BzZ7FRX/77GOTvGzn/3szW9+8/1/9OLi4tatW6+44oqzzjrr8MMPX470/1/immuu\ncc694AUvWO6Cr371q8cdd9yee+45MTHxqEc96sQTT7zqqqtWmXiM8SMf+cgznvGMPfbYY2xs\n7KEPfejTn/70973vfYuLiyvfuH379oMOOsg5d9lll62hMOtAfOBw/vnni0jTNK9//etvuumm\n4XC4bdu27373u2eddVbTNCJyzDHHrCPZ008/XUTe9KY37cCsfvzjHxeR3/iN39iBaa4P9957\nrzbc4uLiA52XBwb3py30vbrmmmt2eK52FNbUKX70ox/pyzA+Pj42NvaDH/ygTPAd73iHiBx6\n6KH85UEHHSQir33ta83Fi4uLt9122znnnKPJvvzlL98ZZVwTTj75ZBE54YQTOn/9m7/5m5LT\nvPfvec977jPlEMJyvH/44Yffe++9K9x7yimn6JX/8i//ss6CdfXla665Rr/50Y9+pN88YATd\ntu0ee+whIn/1V39V/nrBBRdoRr/+9a+vNeVK0A9uPIgJeq2dAgT92te+VkSe+cxnlnetiaCB\nk046SUQe+tCH3r8CrROj0ejWW2+9+OKLjz/+eC1gJ0FfeeWVzjkRecELXnDttddu27btxhtv\nfPnLX64c/e///u8rP+XDH/6wiAwGg7e85S0//vGPh8Phbbfd9md/9mf6xDe84Q3L3XjRRReB\nync2QT9gLo6bb775F7/4hYiceuqp5a8ve9nLHv7wh4vITh9BVFT0BuvuFKeddtqTnvSkyy+/\n/POf//wOyckzn/lMEfmf//mf7du375AE1wT1v59wwgmf+9znVrjsr//6r2OMz372sz/zmc8c\neuihMzMzBx988Pve977f//3fDyG88Y1vXPkpH/rQh0Tkz//8z1/3utftt99+4+Pj+++//9vf\n/vY/+qM/EpEvfelLnXfddtttZ5xxxi677DIzM7Pe8q0BDxhBz83N6YfON6BpmiOOOEJEbr/9\ndv7+1ltvPf300w844IDJycmHPOQhW7Zs+djHPhZC6HzE1q1bzzjjjIc//OGTk5MHHnjgn/zJ\nn/z85z8vL1tTmoy77rrrDW94w+Me97iZmZldd931qU996nve857hcIgLjj32WOfc4YcfXt77\nmte8xjn35Cc/eeVHXHbZZUcfffRuu+02Ozv7xCc+UW3++jID3HTTTaeccsojHvGIiYmJRz7y\nkUcfffRnP/tZU97V1IlOr5166qkhhPe9731PfOITp6end9ttt2c/+9nf+MY31lcJ62iL8847\nzzmnhML4whe+4Jw7+OCD9d/f+q3fcs61bSsiT3jCE5xzmsnOScIdWPw1YX2dQkS89xdccIFz\n7uyzz15YWFjf0xla2LGxsampqfuf2s7AaDT62te+JiKvetWrzE+/93u/JyJXXHHFypNYN998\ns4j89m//tvleK7nT/764uHjyySffc889H/jAB2ZnZ9eU4dX35Qzr1uf3E3fffffExISIHHbY\nYTfccMNqbvn85z8/OTlZFuGZz3zmtm3bcJm6OF70ohc97GEPM1fus88+N9544zrSLIfV3/ve\n9/bZZ5/yxsc85jE/+clP9JrPfOYzIuKcu/322/mhIYRHPepRInLBBResUN5O/9pZZ52lH9jF\nsZrMIEvj4+PllSeddNJa60RH3C960YuOOeYYc+VgMLj66qvXWgnra4u3ve1tInLUUUeZ2lMt\nedBBB+m/z372s02y6ijQUhxxxBE7qfhrwlo7BVwcOiJWx+i5557L16zPxaG+hac97WnrKMWO\nhRaqdHHccccdWvabb77Z/PTf//3f+tPll1++jif+8R//sYg85znPKX9SB8hpp50WY9xzzz1l\n1S6OVfblHvmgY4yvf/3rkdeDDz74Fa94xSc/+cn/+q//6rz4+uuv125z/PHHX3fddQsLC1u3\nbn3/+9+/efNmEXnhC1+IK5WgRWSvvfb6+Mc/ftddd23btu0zn/mMevce97jHhRDWmqYhhV/9\n6lf77ruviGzZsuXrX//6vffe+6tf/eqzn/2sMs7hhx+uj1hYWNh1111F5Pzzz+eyfPOb3xSR\nsbGxX/7yl8tVzje/+U31rx1//PHXX3/9cDj84Q9/+OIXvxg1hkZdZWZijN/73ve0/z/vec+7\n/vrrFxYWfvKTn/zFX/yFJnjZZZetqU6UoZqmGQwGb33rW7du3TocDq+44gp9cY8//ni9bJWV\nsO62WCVBK0oftCHoHV78tWJNncIQ9J133rl58+apqSm+fk0Efc8993znO99RB8vY2NiVV165\nvlLsQCxH0HfffbeWvZymAs194hOfWP2DdIL0L//yL5umaZqmTPbf/u3fdEymdnr1BL36vtwv\ngo4xnn/++XvvvbcxLHvvvfcpp5xiSv785z9fRJ7ylKe0bcvff/GLX9S7rr/+ev1GCXpyctKY\n1i9/+ct65Ze//OW1pmlIQUntiCOOMDN1N954o1IAJij+8A//UAoloib6+c9//go1c/TRR4vI\nMcccA3rlPHOjrj4zeu+Tn/xkU97f/d3fFZEzzzxzTXWCOasPfehDfOV73/teEdlzzz3xzWoq\nYd1tsWMJemcUf61YfacwBB1jfOc732nobAWCXgF77LEHuskKUJJaGa94xSvWXRVxeYKOMar/\n6mUve5n5/uyzz9ZHryaWQ3HUUUchwzMzMyXt/vznP99rr70mJiauvfZa/Wb1BL36vgyC/v+x\nygLsPLRte/XVV7/rXe960Yte9JjHPEZNjeLoo4++5557Yoxzc3NjY2Mi8vnPf75M4dGPfrSI\nvOMd79B/laBf/OIXl1ceeuihInLOOeesNU1DCgceeKCIXHjhheWN6s1897vfrf9eeeWVIuK9\n37p1q34TQtCpni984QvL1cn//u//eu9F5Bvf+Ib5CTGeaNRVZmZ+fl6dGx/72MeWe+6a6kQZ\nas899zRc9q1vfUtEBoMBXsf7rIT70xY7kKB3UvHXgdV0ithF0KPRSGkLo/v1EbT3/swzzzRF\nK/HAEvTf/d3fiUjTNK997Wtvvvnmubm573//+9r9tcaM7VwBTNAisvfee3/rW9/CryEEdWQx\n46+SoNfUl0uCfuBXEnrvDzvssLPPPvuiiy66+eab77rrrksuueR3fud3RORf//VfdQbghhtu\n0NDxpz/96WUKj3vc40Tktttu4y+f+MQnllc+4QlPkDTHso40Fffee+8tt9wiIi95yUvKtVg6\nQYTZyCOPPHL//fcPIXzhC1/Qb6666qo77rhj9913L32XwHXXXRdC8N6Xs4imXKvPzPe//31d\nG9ZZXsU66uTAAw/U9w/QyZOlpSWdkVtNJay7LXYsdlLx14HVdIpOjI2Nvec97xGRs8466z7X\nmpYuju3bt19//fUnnnhiCOGCCy7geLJOwOKuAB1S7AycccYZJ598ctu2b3/72w866KDp6elD\nDjnkAx/4wFFHHaVWSr2aq8Hll18+Pz9/2223vf/9799vv/3uvPPOY445Bl6Uv/3bv7300kuf\n+9znnnnmmWvN5Or7MuOBD7NbDrvsssuxxx77qU996jWveY2IXHTRRdu3b//Vr34lIjMzMw95\nyEPKW6anp0XERCzolwYPfehDceU60lTojSsDNzrnXvKSl4gIAoY+9alPicjJJ5+sYq0Td911\nl4hMTk6WE3qTk5MqA9eaGVy5gupZR510zqcZ3GclrLstVsA6VirvpOLff3R2iuUuftaznvW8\n5z3vBz/4wTqYcXp6+rGPfewnPvEJHd985StfuT/Z3tlwzl144YUf/ehHjzzyyM2bN09OTh5y\nyCFvfetbL7nkErWjpadoBUxOTu6///5nnHHGFVdcMRgM7rrrLp3fvv76688555x99tnnIx/5\nyDoyufq+3IkHjKCf8pSnrLxjxgtf+EIRGQ6Ht99+u3aDubm5zhAinbTdfffd+ctO5tKZX6Xp\ndaSpAPVfccUVy6mGd7/73bj+pS99qYh89atfveuuu0IIn/3sZ0UEK5E6oY+Ym5srY33uuece\nlmarzwzswQrrd9ddJ/eJlSthZzx3NabLYOcVf5VYU6dYIZ13v/vdk5OT5557bmdc6X1ibGzs\nqU99qqT+0mc450455ZSvf/3rd9999/z8/A033HDOOed873vfGw6HmzZt0hFzJz760Y865zpj\nn/bbb79DDjlERG699VYR+c///M/RaPTTn/5099135+Hpz372MxF5znOeU251wlh9X+7EA0bQ\nBxxwgIiod7ITyPqmTZt+7dd+TURijN/97nfNZffee+93vvMdSe4L4Nvf/ra5MsaoV2ptriNN\nxe67777bbruJyHXXXXcfhRTRBx122GFLS0tf/OIXr7zyyq1btz72sY9dYXQjIojeLUtx9dVX\nry8z6qoWkeuvv9789LKXvcw596pXvWrddXKfWLkS7s9z1cNQbp6gd601k+vOxg7BmjrFCuns\nv//+f/qnf3r33Xdj0fZaoS8V4rKXw1577dW56RLjla985frycJ/Yd999nXPl2pxPf/rTInLU\nUUcNBoPl7t1vv/1E5M477/zlL39Z/qrDr5UreZVYfV/uxANG0M973vNE5IorroBfkhFCeNe7\n3iUi++677z777LPPPvsoq5533nnmyg9/+MNzc3MzMzPGpXvZZZdhCkXxxS9+8ZZbbhkMBscd\nd5yIrCNNhXNOg9svuOACwwtbt27dbbfdnHMaQwZomMTFF1+sQ/uV5bOW+vGPf7yI6AwPEIuA\nytVn5hGPeISmifADXKa52rJly7rrZDVYoRLuz3N1PHTTTTexGPnFL35x8cUXrzWHO7X4q8Ga\nOsXKSZ1zzjmPfOQjP/KRj5S8sBroMrkdsuZl50F17iWXXMJf3nrrrbpE8LTTTlvh3sMOO0xD\nJ//xH//R/HTllVfeeOONkqYiTj311M6BqU4a6yThtddeu9yDVt+Xu3GfPv6dhBDC0572NBEZ\nGxs788wzr7766rvvvns0Gt1xxx2f/vSnsbLrAx/4gF4P9+Vpp5124403jkajrVu3nn/++Tos\nffOb34yUMY37qEc96pJLLrn77rvvvffeT37ykyoKXvnKV+LK1adpIgduuukmHbk85znPueaa\na4bD4R133HHRRRftv//+IvKMZzzDFPaXv/zl2NjYxMTE7rvv3jTNT3/60/usH3TRU0899aab\nbhqNRj/84Q9PPPHEsbExdVZg5nf1mQFnnX322T/5yU/m5uauuuoqlbEHHnjgaDRaU50o0Zfh\nE1DoJuxv5UpYd1tg6HD66affeeed27dv/9rXvvb4xz9e68REcSjvfPCDH0SIhQmz23nFXw3W\n2inKKA6GCknFWheqvOlNbxKRRz/60Wstwg7HClEcn/zkJ7Wnn3vuuT/72c+2b9/+uc99TtcE\nPP3pT7/PlF/3uteJyPj4+HnnnXf77bcvLCzccsstb3vb25S4t2zZsvLtTNArY/V9uV9x0Hfd\ndVe5vguYmpp617vexdfrS1PihBNO4M6gBP3qV7+6nOo54ogjeDHY6tMsVxJ+6Utf6pyHPPTQ\nQ++8886ysCrbZZkVSp3ozNsFF1ygmpGzt/rMYC8Yxq677vof//Efa62TdTDUypWw7rY49thj\nzS1TU1M6pWMIWl2riuVWEu6M4uv6oNNPP70stcGaOsXKBB1j3LJli16wVoLWeGrn3FVXXXWf\ned6pWIGgY9rrzuCQQw75+c9/bq7UuXFugvn5+Wc84xmd9fykJz3pF7/4xcoZWz1Bx1X35d7F\nQYcQ/vmf//mkk0464IADpqenx8bG9txzzy1btrz97W/vjOD5yle+cuyxx+rmrXvsscfRRx99\n0UUXmYBTJegPfvCDN91004knnrjHHntMTk4+9rGPPe+884bD4frS7NxB7ZZbbvmDP/iDfffd\nd2xs7GEPe9iRRx55/vnndz4ixqjTYiLyT//0T6uvny996UtPe9rTZmZmNm/e/IxnPOPSSy+N\nMZYEvabMXHLJJUcdddSuu+46NjZ2wAEHvOIVrzDLwVdZJ+sg6PushPW1xfz8/Bvf+MbHPOYx\nExMTu+yyy3HHHXfttdfqqNMQ9He+850nPOEJOp++HEHvjOKvnqDjWjrFfRL0DTfcoH7YtRI0\nBlurkaI7FSsTdAjhH/7hHw4//PDZ2dmZmZnHP/7xb3nLWxAnzigJOsY4Go3e+973HnHEEbvu\nuutgMNh99923bNny93//98v1YsaaCDquri+XBO1ijJ02pKKiYgfipJNO2nPPPXW754qKVaJ3\ncdAVFQ9K/OhHP9JZgYqK1aMSdEXFTsell176gx/84IQTTnigM1LxfwyVoCsqdjre+MY3Xnzx\nxRpgUFGxelQfdEVFRUVPURV0RUVFRU9RCbqioqKip6gEXVFRUdFTVIKuqKio6CkqQVdUVFT0\nFJWgKyoqKnqKStAVFRUVPUUl6IqKioqeohJ0RUVFRU9RCbqioqKip6gEXVFRUdFTVIKuqKio\n6CkqQVdUVFT0FJWgKyoqKnqKStAVFRUVPUUl6IqKioqeohJ0RUVFRU9RCbqioqKip6gEXVFR\nUdFTVIKuqKio6CkqQVdUVFT0FJWgKyoqKnqKStAVFRUVPUUl6IqKioqeohJ0RUVFRU9RCbqi\noqKip6gEXVFRUdFTVIKuqKio6CkqQVdUVFT0FJWgKyoqKnqKStAVFRUVPUUl6IqKioqeohJ0\nRUVFRU9RCbqioqKip6gEXVFRUdFTDB7oDFRYXHrppdddd51zLsYYQogxioj3Xv8OBgPvvf4r\nIm3C4uJi27ZLS0tt24YQ9FfnnHNOP8cYkaBzznvfNM3Y2NhgMBgbG2uaxnuvFywtLS0tLWmC\ner0+cTAY6MXj4+Pj4+MTExPj4+ODwaBpGjyFEULQLIUQnHP6uLGxMe9927aj0WhhYWF+fn40\nGuEavp2LPD4+PkbQbyYmJiYmJiYnJ/VX772moDXGZQ8haLlaQoxR/+IWLT4u0LtiDhRqcXFR\nK0oTQZVqNrT5UO3ID6egpdbGQuKaWySoaWpB9GLOnqbMiXM6WntoOG0prVV+rkvgAuICzYb+\nRWVyG6Ge9V5UWue7bb7XJmjbVkT0fdOXTdv3qU996nOf+9xleslGQSXo3uHb3/72JZdconSJ\nvj0YDEQE9KS9BUwxIoAyJPVb5gt0HmVMJVykqX1scXER7MO9VMlCeXYiQTkaXRR5BtfrEweD\nwcTExNTU1NTUVNM0IYT5+fnt27dv3759YWFBuygzLIogIvpEMPLExMT09PTMzMymTZs2b968\nefPmmZmZqakpzglzvVIAyJS5iYuGi2GfQOhgxqWlpeFwuLCwMJcwPz+/uLioCcKAaWWiLHiE\n1rAmMj8/v7CwoO1liFUfx3cJGQ/Om16Py8pWYLsIM4bU9DJmWLX0SBxWB4ZHiGQNs3NdmQv4\n9dYn6q/6hoxGIxFBbXjvx8bGpqamvPeVoCtB9w7aA5umkfSKo5eW3ZVhlAt3PygdMJH+FELQ\nXmF6qSaOfi6JufSzGgwAWeJuzzSBLjc9PT05OTk2NhZjXFxcXFhYGA6HYGfNJBLRx2lvH41G\nyozj4+OTk5OqtlA/mlvW0WyQlG6Y0UAcKk5ZpTYJg8EAQhsEPRqNtF2UVvQWTVwzrHdhRII6\nRzXCbi0uLmqJ9F5+AVjbclMaBV0SNDhUSLlzi7Rtq/mXXNpzxtiSGYLGI0rFzTXMbx3fIgW5\nG7OkieiVWpPr70UPFlSC7h30lcWbDb4QEeUR9FXt5yp5zIA30vgavcUMwDEgNVxsiL4cwIrI\naDTikS9+5XQUOmKdmJgA74+PjyOHGHdr9iRR6uLiokvjeqGBthRshTGEXsz+Fr4GVWRsHgrI\nZgaPYzpT5lWR3klnqMYYo7Yaqh2NohIV7h0laFBhZ/NpttEoXHatnLZtmaORYfAvN7TmitU9\nF9AoaNS8voENATWst/B7KDQuKd86vBWoEJRCofeWdmtjohJ07wBS1jebu4QZTrIbNJDjUnLG\nBNeokgWFGV8qa17khOWPkU7gIzBIeSMrLzCsCnDv/eTkpFBn1pSZ9SQRNOpBuX5ycnJ6elod\nLKVftSRopk5mJSFziH/ZzhnBqL4CM95XjEYj1INqf635SNrZOafSeyFhfn5eax51VeYf7Sgk\nPIVGD9qUWgomX1wW83EVC20udSDvMz5oJYR8LsS8ZniReBinOeHXmHOCfGJkxsXkStjgqATd\nOzRNo6N1sBveZkkCkwECEpq0McpLv/FpYlDpXpWXXuOca2nGDEwquZuFNTILaihT0Ch/UM+s\nEquis4BK+tzVJe/n8ICro0M92uozYfeI6dsuORlKXjYfUDQMDox1YccOC0O9WDkazeRoCA/S\nVIJWDIdD+KC99/A/gECZKEHi0PX6q3I0TGZJ0JoaXgZ+l7jUbNGFpABTMz4o2PZwIqYm0XD8\nXH5LlaDbfK5Va/h+d6b/86gE3Tsol7HUleS8g3DWjt2pWXzyVrvcIQDxqG8/aAuOP+VfKXjZ\nkUPA9EnNT9M0MU2+a+Y1zEMdAuzVBbFOTk5qGdHVebCMkbKI6I0gRCSFB4HohRwUzJuoWPCU\nkIJD5UBlwyRghB5j1IeCOwxH40qdMETiyIaQ2CzBahd/Y+HK0LJAk6Lt2B8NE8tvlMuB7zsp\nFS+G8mPMNS+awCXxDvg0rc2qn70r/AohJ/qT5EMlfVXUrbfBUaugd1AFPT4+jhea/XSI2eic\nym9oanEFraTfGJEYSWO65JYFVXFqkFdN00DcIU5jenpaKVj7GO71yRmN2UKUUYlGCzUajdoU\nbiUi6KsmqSbFCGLsHJMWdrlrAmItppGEqXCmQoi4mFwByiyDwSAmFwcTtHFGLSwsLC4uRvJi\no3qFmNcwcieMfUWLICxSyF+PGLVI+tdQKsYB/D7wMEiSe43rLaQQSWMpufYkFweo7UiOr0gj\nFSkMJL+QCDipClrqQpWKioqK3qIq6N5BVVJDK0ckDQB5xhwKmp19QtM4UE8Y9gaKZFKHRulh\ndOQWQCKlHoeg03+bplFpPJugk3jqS4FG08HB9PS0qmxV0CEEjTmD2FRfqhaHvSUshFkYshiE\n9MZf6MpIHlUhEVcK25BPe+r4QINP4GBhHw5Le0TOOXJ9YDDE4hS/Yn6P3VORZvPwV69HQGFI\nccSDwcD4u4RGSBD7pqTsi+BcIUv6CEfB1Cgv/ELGyQY/DOrcaHajoPmNwhwDJmPvZ1d6EKAS\ndO9gXlwQq4iYkN5QhE9I6hIxTQlilCqJ3yWfHkQ8EyagePhZUhjnU6GdSp3L09PTs7OzWDzS\npKhhBJPpehO9eGxszKXJSV2hwJ4BdUHCo+0pVIOzAa6BPxc05yk2A8aJ/Q+mICWV6OO0jPpB\nfR1KUszOJj+I4QVLgnCZneF2wDdC8wfaKCBQn/yz6n9H3Q4GAw3QXsrXkfocLk3KmQKiMj2F\nxMW0fJQJmh1KoZisNoYBV+IVioVzid8un/xppRdlI6MSdO/AbsFAYbySJglLqcv+PhCB6ZOa\nms5ieZpCBAc5CorC9TGfFWR/JQSgoRvWQUpnuN0VMGU0/CLEGtD4hqBdCv9AwFak+Dbmbjhq\nXYrzi7nb3adp0phP6ImIsmGTYkhg/3wRbQZrFPKocFe4m5m72WaULevS2g2eI9UhhSpNzQkW\nzbN+9xQTwpJZyOK6fM0OsuTSTCCno3fB980ecDZyjlzSeJ3wExskvgUEXVbXxkQl6N5B3359\niSPFBQuFImFWCjwSKBRBRFjZQWhHmm80HYC5FVpV8qnFSG4ECCKfx2BokC8ilLkzt2nFIEqk\niWCVoM6wwX5wBmCuWIzrTz6PZ0Adgn0MdQpF0RlCcWl6EA9FmqqaNYXFxUXQovp2MMk5TNCR\nCggRDzKUzRmQPPrC0TDCp/lSnu6Dz0fysHfoVlyJN2cpX+zOD4JJwGvj880G0Mp6u/Kyzuti\nsTubFhQNBYce5xe45HR2xay99zzYUAm6dwgpMtSlzQrU3Sypm/FLHCg6jeUn5LBQJFObFi7j\nWWAlo2pNbxSK3+IPSBm3mFKo3xbs6VM0sRKcpj8ajXRfC/XeCslVSYMGJmxayPoAACAASURB\nVAgE4QXyOLe0sIItihBBIylHEdPMBfw5kosWbQGi14WLCCxRD8/09DTWB2osSkjhZWwpmaOB\nmA90TLuE5MFnuxvJe2CaD58xipJ8xyjzAgj5jgIt2+G8OedQ8y3Fei7Rlk/MyLLMoEEolo6L\nYyxlLHx3GxOVoHsHffu1+7W0cEOSquWXW2WR8rWyBnomCJq1GxMEd2Z9dKlVOfLM5a5bBYQ5\n5i0x7B0Oh+oqxUMxKtfNRpQxdecg5TUtJta1S2Ill2YawQiSmNQv45vGBWZob2SdFErNrSh1\nVTxqfnhVITYbmZ6e1rJgFhdP5JkDTtm0C//Evh3o3JCWqOAFaHM4GgqUrS9kkNiG6eAGNW8u\nbtPuHDGNV5jrPU1Nm/o3ph1jNQ6dxPW4uKXdsjYyKkH3DlDQksjaDLR92o9RiWxxcdFTvEdM\n0zs8bjWizBCEfo60ZsFQIZSv8bpGGllrTpimFxYWeJmfMvVgMGAhvLS0NCTADmF0PzY2BhEa\naMtQsB4LXi4UC0NmZ7hTwYySq1HDC8g8qk4bRUuhLKMXjI+PT01NzczMsIiOacLQJQ0ei72E\nQu6tBnsai4g8IwNIE6HxatolTfkaN4XLV+7gcWhxIb0sOWMie4G8aqgfQ7LG3pSVDAHR0G4n\neKNcmtNeZZd5EKMSdO/AXQUEjSGkdrxB2iJZUkiTatJQTOsJdXhQTCw0I7oHPgearNMFJry+\nEdNuPC0mpEZDCp7DbKFG3eGhMd8IjRWZjqZB1iiUfsbEndC4GCX1xcQps7OjeTDkM+aymkvh\naHkI2ydo4ZA2U3XOdRK0MmlMewdyO+oMqsmkJCLDyMOobPipwKHwuvBknRR61iWndqDV8Hh0\nS9uVhHxbD1d4ujHnYZxj3KbM0aY+2TihIVAuzFWE6uKoBN1DMAFh0BqSc0NoOZkStJB3UnLv\ncCxGl/xN2X8URmjrPJj6WCcnJ5VkeU6M5/GR7dFopNyhQXKTk5PKONyf9WJ+eqnXJOdN9H+X\n1vgxfxmeDRSJwVaKncKgRZAFKhBp8qicp7DgTEBwhdbS7Oys7qSq1cLOAZCv7rnK5Qp5cEVp\na/G9GjA2pWwmIwVghLTbUWmZUAQ8tKXpBEwworEgb7k+fT6xjDrhFmR2NtRsxnMxRePEtDnJ\nfXSVDYBK0L1DoNhkqBX8ymNDpjwpmCVQOJ0CV/I1SFaSsuPO473HDJiGNsOvggmx4XC4RDvq\nSdKA7IhQW8I00TnahcBEVn3hTBfq88zLKCOq0SUPALMtrmQz5siNYHQisxsc4mzb8FkVMYto\nrRkmX0hjKcY0xiaZwvI4wBSTeQ3FLBMsnRuBQjlRIcaCckOYnBi7xQnyxIPJA8+gmPfTvMAx\n1w0bE5WgewfWMoZZWIMYXWnGqj7tjgYWQEhTSf0+RRybY6WatG2NTn8pQav0G41G8/PzGnqB\niAVkgJ0e6O1wFLB08rT4Aj4N9k7yZzD+yrXHtofZmatLv8FgxdFYntk5kF8bHO3IWcFwyfWk\n9kzPWzGxyagKE5Kh4JkGnkDrzI8pMr43L0lJtZ13rXCBqfOYwxC68V2YUnvaRAW0HmkEwxar\nujikEnQPEYrYtZjPrqDfxtx9CUmIga1ydJP2+/fFqopInllVyurNwHFW2CZU4xMQlTEajXTj\nUBCQJNOCuGbdftN7j9OqcIahkGdceyyKiTyXBA1G66QSFo/o24ZNQnK/OnK7xxRMDU5nx4ij\njYeYa1AE83SzaR+Cu1mcxtyHgJZdojNreFpSyF2DC8xfvtgMs/DQmI88pGBhmHMhPWsouKxV\nXBZyXz/zMtjZ5yEcUoyHRGSp7tafUAm6jwBZMPkKaRym45aCtyJ5M32+O0fZ8ZSAmhQWgrXa\n2I5ON5zD2awIyQghYN5viRZPg6D5vD4RwewZ72AHgvBpr7iYwrk4t+jkpudLziDMPuAjR3sl\nS85Kjlw9THNch6WC62QNVCZYDJt1qE3S6BST+ZA7oGBQJTlnQLjsf2BXSWkwkBp7Ethpzt4D\nTpDrlokew4tm+V0SQz7bEcinzzlhtwaLZaRjShRoJnMjoxJ07+BIAxqa4N7VpnUQ7PxVMCt5\nClB1NNXDHUllsm51NDMzwxytLGN2gIRjBIueEW3Wtu1wOJybm9u2bdv27dt1qhDsrx4SUDnK\nqwJf84wY8JhHMeNiIarlmUlwhP67nLNYwfpOcutlXCJScDfzPpO7JEctOBqA+DUjADYqIOiy\nKZkT2cYYAc4ky1Oa5o3qZGdJZMr14HIb6Wj7LfyKZJE3dm3BS4azdI0t4UrmymnT/tEbHJWg\newdXSDn+Et4JvMdLtL09sJzW457pkmcD52SDoLGnvsZgdG67DApg+o4xKkGrGB8OhyGEpmmU\n6LEDRhlWoSIaVieSwwErcdi6cCCHzyMT8MFTVAaYlxmtky4jeUiYBKWYT9MvG4rkxWefIm14\n+zeTSS67pEBpoc1GUCHgXGOEYEiYlz1FlSwnwwFmZ9QkFABnFYTLjMwcXb51uAXTDE2++6Cx\ngigjHlq+wxsNlaD7CCP3JL36KsR0GUikpYaliEY65jNr5ybtQqeRYdgmFMedlFFlRpuDebE9\nv4ioJ0Q7JNzQkNghbdjUpk2IQJQhhMFggOKoQxYbX/i0P2ogB7qnmBAjMyGTmaCh+5q0dR8b\nnjZf6ceaTnJSZrrnZpJcOWJoz0TGBhhmEhZISOTCB6U1I4nEmVuRPUc7DbFzA9mGdedBiaMx\nBK43TjOteUw4ox1R5HLMIfmSH7YfJkt8TSz81+vrPg8mVILuI4zoE/LM6rpBEVERHdJeHIiy\n6kyKJSccFOp5mJmZ2ZQwOzsLqjWjXVavQsQ6ICCWDpdpyIdLU17KzkgTfdKnFczG1SCkoJWn\nkA3MhYYU9VHSMSqBNaP2/EgBJI7W+JUEDbLgZEPuHJC0ktvRtnCoFpgfnvuKuXjEXZxb8CPm\nEgJFdjNFgql9saYGJo2P4GHbILl8RtstV1jcJWQIA7k48JOjqJjQNcgztc1v/uo7y4MblaB7\nB8POLLuUlCXFokHvQEdzj+UEkQiUF+Ln1LOhBD09PY1zso3SEdoVz+c7ZOJKHhR7mvoDzSH/\n6PCgFSkCrUDQcOCa/h/IEQFnqxHRQkQATneFlwMVzpQBryvnmTNgWg2Zcel4WYxCJIW3w0Ci\n4PwUUBVbKa1JDP/R1hzIiGyYZNEunfuC8tM9ubMDRW4I2XhTsfxornb+y7UKAxYJbA80BTZO\nK/eUjYBK0L2DYWd+U/FTS3ukRVKUepmnfR2ZOhVgEJ24M65nVZRCpOxo7ClJO7NMizGqNsSW\ne+XawpI3fYrORiKlp0KIXn2aXGJVy/UGmvPLeJYjTfGFwkWAZ3GFcyULhX/AqCA//FCXYgfh\nwUctYd8rl5/e6ymyxbBzJKmrXzZNoxs2weSY1wZFCMkdhKMsQwoRgSo3dlGSu4Prh1NmQc0E\njczz6xrSOpqldCADQ8jQwi7GXFlvcFSC7iOMxOD+BjEC7sAtQvGznVoMukl9x4is4KA6zNGj\nE0o+VwZmwZ7xmiXdSy/SVmeIwMPsFutHOCVNv9XvQ+7tDbnboUmR3YYmhLaW5++N+guEkhRY\nmJctwrVqss2fOdKOj/7SahE6opvzbKiNn4L8BNoow5EvGJYYwxR+IvZujnReQfniwbqweTZi\nXCuKSy2kf1FLMVfEXOGwzTFX0GxdKjsrKkH/HwCzBl70Uo+4dCCTLBPFAXbD8hOEavDOmfxc\n5n0TIQBLEGjrO17lEWgX44a2WEL3NjOEbA9crri5yE3aZkjyUwU6VTYK7nKZjEw2tDKQycUV\nslqlq5C5MjD1bCoZOjqQX8Llqj+k6YFOdsY1juQq+5RDciNICmIJeaS88W8EijVmU+dpNg9V\nEcm7AqFt6tm8bMu9S8arwxVSCdqgEnQfoS93+Y4aVsLQmLsKixqjhcHOUHZY3WccJug2TNBY\noWucGyEECLSl/LxER6EFkoeCgNdiDvARuFIpBorPk3cbqcFvwP3fp4gu5hHmMujNUDiUcBm4\nrLQBhpqRAjIJgmaOZsLt5LjSxJbGAD4Kl8d1sC8LNcY3slxtaV0MWzVXSGOWwG2+e4kQF5d5\n5jSFJAIPqnweqr+WjvLgRyXo3gG0q2Bp40hVcV/l995M8RnJY4be0M643tEGQ0JECccIT3xB\nnenmdrrsmwMMQJEmDtelxYGB1gGywuKRe8wVtEvRuCBNBrLaWV1apczOXFdGvqEGlETMBZGk\nJTdTm0KzwdEIKtdFKxhYcJxyKBxZIDuXDya4osxEsakQ8CO2Oom0AggPdXkcNKZbPcVEd1Iw\no/MtxTvpc4CgdVACkcHjhkg7x25kVILuHbhv4DO6hxEmLMHQJXg9iKMIXN/l34BzQ0ibgyB4\n7M+9nXMIOaa+zkD+YtAr82wsZr1MedlEuTzEAvTRpPMY8ZOko1iMRjNAueDl8HQOIZ4lOdFw\nHpjrmT35emRSSRlLfrDrCJhLyG6FrvX9JtvGfOpgQmuMJ4pdcoVLOppLgQZCDQdyE/Hrxy8k\nFw2ZMdJYchXMdDzIT1PUa4wFwgtcWqaNjErQvQNeU08bUOBl9eTHMD919jFWJYagdXpQOZo7\nXihG+qwZ0etCHj8Qc98I+hssBDgR6QTauA4yChOALa0FN3kwZY+k0J1zenYBqNxUTme5Otkw\n5oOASMJTcmmJHAodH4Vqh9ceCjpQxLexXvwNWhPPZS+wy2NgOB7R047hOpiAecAOqFwP/Gpx\nJThSzRiXBPJQCdGrEGXze8JNzK8lwBnA55h7UTYsKkH3DvzG8zdSBEVJF4EqdfL4lNMBQXP8\nhgZvcG9kxHwA3plDvhjXeNohngkacr6lzfbg19aAB9gYSEJTnNI+hWIvOq0oUwkrVLihJ/7A\nLMwEypKQM8leEdQGDw7AzlIoaPNQlA4EreEx8GU1aREQ+/c1zl1JWat6NBrpzk06VWAKgkzy\ne8VVhGwvV5m4nUuKiWUUPCZryhmWXH2zZdrgqATdO8RlpKv+6si/wT5HoZ16uFdzp/XpMENs\nHzo1NaWThMwXcl8LEPgbKeLATD7hbZQims0517Yt+yU8Bd5pOBqfXcAyLebeHkgzVqOB5jkl\ntyuGlFn3GV5w+XiF68Hci3+Rh3aZ9X6mApklzZUoLCYSAq1IHKTjELUO2YOkDa2ulSYdijYx\nMTEcDnn/7vLRQv6fQE5qocFE5/tgqJl52ZNbgwvS5pHy3IhsmDcyKkH3DrGY+Irk35RCWMFv\n4Cmig39lgl7Ov8EcKjlz+cLVyL20vD4W3lhzI1udmIbPsDE8PhAK/AjJdStkCXzhbjYPwpeG\nRrm2me5Bi3DUsCo0tzuaB8NzTQbMKF5ycWoqyrAVOC6mRUC8UJ4NM+KaOwkaLiP9hjcGKAlX\nDQCWGjGHcv7N7ai3ToLmdwO1wfk3Ddcus2/BBkQl6N4hkj8R9MoDzEjKC8NeSYF3cEQ6CsDS\n/gNPqAnhYCoJxfxYJzdJlzJlVjUUKYXSRApsh4S6etmrUXwQIigSD/L5BJfhaJ8HY7CWN9dw\nNlADnqYufR4SbtiH/3K9MSGW6pJzy3NrMUZdOqjRMp6cJ0KOe1C8o/lJjJBijPpv5/aHyJuy\nswptDZ3kVwKXLddqneCGMMU0F8RiT64NjkrQvUMolnuwTuF/mWUM2WmHAa+BUDB3hH18IJqM\n1jZdrqElf5I7K2LuV5FCZOF78JH51fR2UxsYB7DGhMVCDk1O7tM8sG1jakPBTfpcfGZnVq8o\nvuSchdqD4fF0+JMnzy9yC4Zt0hE2IsILAn0+I9fk64yQOE8k+jS7G/MwDFMnehawHqvIa9O5\n6fF+GrZ1uVFne2kaFwnymxPSREJ5/cZEJejeAXSJoT3/dJ/KwtCiIRQTNQF2BkGjUzUUD8vO\nROnSUCBHfijyI8RWDS0jxu3gSvaGBzrSFKvGJffhuFzUAy4X6fiyZBmf/EKoXtzuigGEIUQO\nTkAltOmob1yGzVd5F1DvPTbraGjZnmbVp9kC1b8xxuFwGGMEQXP22AyUOefie3KksOnlalFP\niBqGpmnUYS3E5pH25zJi3NFAxLDzcm1haBrOuuVadqOhEnQfoaRphpCSK1PTGaCpcRm/+uiK\nLIS5p8Ev6dNMoxQU4PJBbkt7bsBpiJRdLgmF5jBxJZhaRHRPUVAPHDXM45o41wnKC0Jny4S6\n4ls8bfQR0oSbp0nXUv+iJvl7/hX5BGEh9Bg+JcRU6DVN2kpbiRul0A9N2qpb1x/qN2067xG7\nbRjGL1kPxRcyWsvZGLwSnvxLg8GgTTt3N7Qupmx6VJ0RB5JvhMTMyzzObxcEREUl6D4C43pm\nZ4URyEKyxVzAHF0O0kFbpRTqFIymz+MuXt6N/DCj4UtWqWANDJb5Gl+sJFyhrpBaSDNOZRn5\nVyFmDxTK7XInsnR5AAwHcVVD6cO/pBwNIYy19VpXStAKT5O0ktzTmOXDntqLi4tTU1N6wqFW\n0SAdU9LQdtJcM3iLymEHsg2bKsm1EmPUlYchRdp4WgAF84lZRPigSqdc5wchpvb5xl76dN6O\nfIOjEnTv4HKxbMiO+xUzFxgHI/eVlaBe6fLddhwNjVleOZLDTOuLhJZWoLBQil0BEpxbzHA6\n8q5wbcCHIF1DY/Cv+hZMnUTylQtxLiR57ILkShlPcbQEGXnQ69u0I36gheyODuXDrOz4+Lg2\nEFzMPh0WwxQGwlIFHUJQfp+amlJ+D+nEdOZoISqEHi/Ns0sTyN578C9InHMe8xWkcGeHfKZE\n34fO/VhMxXIDhXSal6TRgBq2EAIWT21wVILuHdDtDVPor5E2BpJi1RnYGX5DIYlt2DnQPhiS\nVDbmptDtS5KSdNCJ9kZlZ3Yj8IOEIiscOSW4kyPl0qPSpLg6LnUJlMJ8E3P/hqOIuk6Rjg+d\nZkAStXFzhHyBjP7KJmGQHyCrB+mCLk31CpkcbhqlSw2RBEG7dDKA2cUb5tbwIxM0F5NNsqdg\nZ0fOHP0VO7dIbhrVOd7kJ1qt0DQ8XGvoyHAtCE+9bnBUgu4dzMia+U7o5fY0X6c/sdMAd3la\nPosU0LVAWNpJTGyW8U7GfHMPdE58jrmHEeRoMsDZZg5VrjfTmCz9DH8Z3yWTaSQXSiykdyi2\n2Yzkdu/MKt/iyFutOUG1m9G9FAF53GrMm6ZOULcKn2IwVIwzQXua5TMa3DQHV0IonMKwAVD0\nyL9pPp+H9OhboewsyXLD7rLBM1XKzcQvKqprOWO8oVAJuo9YjqDNmNF0HkNP7MKOpBBNzxeS\nUXCYmj1ImZRLTwI/HY9jXgu0wRA6LcgFvIZc6QUQVuirGDu3tPsokjJPAW/qNVCCcXl3c9kQ\nKIh0iWvW/sw1XGlM0MibFtOlzTQ4WcmdSLrfntZSTCtQxsbGuFZB+kJG0TSKKZTkLCnFPhim\nIDEX9ZoNGFE0B5i6s7n5G5dP8MoyprTM/EZDJejewbydsZBvTCvmg7kxpr3ijGZp006bGBpD\nQDF4IC/U2STnHZ9PKuplbb7K2TAg7AHSNDEbKBQc0CFFXMDVwLt2NHREk+QhyciYcSa0FFvt\nyPUhBYUF2tsIiPlAnp/FjhqIXwxE1FerKcOnxG0HQtQrJbEnJnKhYXFXpMEKe1ck5zu2ap6i\nWVZ4CV1h3dm+Ypm+Zo+3C8cwzhi2SKa9zEBJ6BsclaB7B+7hrHEAT6EIRm7wvXoxC0BmZyho\nBkbivIwFFgJp6vcNgU2IiLAnxNAfAIWu0MUXMd/aWCiO25H8ZI4Q8mMKaUbOkvGT8BjC5Qe7\noAhMzdw0ZSUbQsGvQKSNjTT/mFOF38PnM3iSZh1dOrYclG0EsiNZGvKQGCE76nO/maTJQyZE\ndi5FmjE2dWLeSVC/eXnQjrjXvKt4h33u0HfkgamoBN07oKuYqXD8KvmxsExhhjuW68DsSUDv\nQlAtAJJ1pLIxKmeONl5dqEt0ZkfuBV9Ab4RA5r5djh4iuWjxvafwA1d4fkpuYneNyw/cAmDY\nynQ6Cd1QFdcVe9UDnUyI0AgdTLB1wb8wEtx8GEYwu6Fcko8/mnyRoXTpU0PlMc05exqc+XwI\nokCjSDqFALHeDDzIpx34DBG7/BT5sjk2JipB9w7ee5x/AV0ZaZjpUiAB3mNmvSbfB1nIN12K\nU0/nc/P4lJWUp9mbQdqtXx9tjmqWvJtJLvMhpZmyfb5ChN2vumhF8lBZT+4a1vX4CbWEujIV\nCJQ+ATyL84/qZTuBL6WI8JWc7Jigmf6MseTnmg9tWjnCd0VyyBiDJCTqPbmhhIjPFIr/deQd\nFrIBuICNPd4uWAW8upLv5KU03eSH5BoJjyJ3ttfGRCXo3qFpmomJCUndBmpL8hhSZjrWbmZv\nBxZixsM7SMdfgZcRCobILXRIR9v3+BS3W5oBfGbGNEqTpTGMRNu2DZ1bqNQvtHQCVwrxb0tn\npPKDmKAluVyY0YwNM18a2vKFy6h8nMLn8doYH8D+oYZhYnk0gJoJ+RmJyEDItzBlzzt7VGIu\n51kUx3xAwPbVFeqYy8I1hgzz2xXT5KG+vSiIvr3c3K4Q42UvcDQ42MioBN07jI2NTU1NwaOH\n4H+hbuDJZangXtrkW21ojzWj46ZpdGNoXUyMx5UEjfRB0CKC1caRoFd2MpSCeUeSG1RI6yEp\nJmgwlGbJp7Od2EThicgDsgRvgCMx6EgPmvpnmm7yQEMIW0PuXM+ucKHCtOhylcnJyeFwiPQ5\n5UDxDMi8S/4lIcMTybPPyhcpsGbnlwHm2eWHdiPZQKGTsZhslJxScTtbcbB5LPbhwrsB5w9K\nzU0G87NiR9kQqATdO4yNjc3MzOgKMd17AfvjYKd2WWZBtvE5BlorGJLrM6QFDjjPFLrYODp4\nCMyDZeN8ZGHONAFqcOSmZI4OaSFZTPEMTDHYZw4MhfCANl9njBz63H+Kn7TGXK6LQSIoBZoA\nTyy1nmaVtS04JaQJLgNkT7fXmJqaWlxc9OnEL0P9na8EVwJqXkjbciYldz0bv0QovDdMi3GZ\nSVoMbqQ444YJGo82Vo3HTJACg/yYCDZympSOljY4ahX0DmNjY9PT00tLS3pAkZ4jpwTNR7JK\nwTggWZ880Sw227QWuU173+DsK3Uro1c3eWiB4X1Jq+a4Z4ausGs2ISW7qUbGU4SCMcAUknMQ\nM2ZMkXxtsWZSuuIC9bnliF5y5w8K5ZZX5SyWy2uQlJpDl3wskkYtStAuHRnD0hjw+YQqTzDC\nnkmXsYGd8/ncoLGj/FwWsKhSFNCT8zrmGw84WvKzAkGDbbW8GKiVqx+RvUrQQK2C3mEwGExO\nTrZtC1eDSmmhlRrmFuboAe1wFinEWP+Co7UP846XfkXwtKHkcc2B9gnizKCXMmUzZbRp2yDN\nbUNxI+irbdq9EyYHRoL1l9CEpP5rKM/oRHyJQQasjuFoTocfAaMSKdgc34e0AFq/xK7KsIuQ\n28gScu6LYwG01GBMZBu1wYkoeE5ScoI29ol/xWBL8kGJ5J4iropIQP756ZoZ3VqaRXRDK3eE\nbEBV0IxaBb2DTycYsdtB1zLw7o7mLuZo0Jl2IeUd1X3wmWCHZfWNmqhk6DKw8yA/NwQXC03r\nQcwaPVtmsqQnn/scJPVbpMl9nolDKISAa4apxFwvBR1AOUIzckmZ+HzhWRJa9Cjk3m0p3tls\n6KplwbyC0GCozDn/W7YOilN6VIyMhf1gi+tI/4Kd8QhjUNkGmDeQB3YwukhB3zGchSj5sAPt\nJUTWUhyOszFRCbqncMlr6Sh6QftPSdCmA6NfQR7qmLpNGwovLCyo2wSKRr0c3Ge4C5XE4Ui+\nRZoLEjIwRrQyQZTzPy5pw6Zp2GESaLdo1pJSdHJ+Cl9gyN08N+bj60AbTwuRPpJCVvl2l0+O\nNSnIFxS8uLi4sLAAhkJWDaWadjSZFJL/zN0xDx5nbgVBc5vCBQyHUshnXHENaru8wBdBjRjK\ngKx58lkJunOvO/MOIEtFn9iIqATdO2jHRi9FAJzk8/ux2LNfbwezCLksoeCUoxcWFkqOhkA2\nNAdpiUg4FnGORvRYfBEodERzxV3RcHenmDL0FGh5OpMUl51zzun4fLpMiFVZ7IMumYBMtrna\nuXSOtLNxC4S0YhuTvea4HMh/8xrEfP4NbWHKzvWD+Gi2FqhJlJSj3YWcRSiLp+h4lwY6gc5v\ndHSifGcm9VVxNCWozrRRgr54KD43luQ+rg2OStC9gwpeKKAm39bLsIbrGr8DIa0S5i35maPZ\n18HDYTBsoGgNCKhIQ35kCewWc9VcZlho7ckKF6/A0ZKTrLnM5UEOhjcjaUBISKZUR04YU894\nihSE5UhfI+cxOX+UkpaTkGXboZ7RjlzPkhsnVJrxlrAk9+TCHuQHFboC7APhDHAlh3yhSiQ1\nbeS2JjKg7aSFzrJhk4O3ItCa9Q2OStC9Q0s7GaGr+DxejUfiDcW6SrGYRbsHnAaqzeHrUBHN\nnkG90VG4GLpZSNuox3zILLmD0nzP/goW3eioemNLa7sjyWqmoZaO+4Pw5PxILtXNv4Ztm7Sq\nje0BCMKI0NKAIZ9C2pnvEqLUNj8jKuShOMzpQuzsCsPMlVOaBGSm02B72raJLyjLiAvKRExm\nlrsG9SM0J8GTwGVVsHHlAMoNjkrQvQNcCiAOaBm83zw0LufrOTWQu148Go20U7Vtq85o9XXo\nchVfzKShn4BkNToqkug2Xd14P1ncCYV/MPPiV1bQnoIZcBmC8/hxhpSRDh4EdY8LPM3EGscR\nrBrTFpeIDQmrP5MTn8dX8EIh1J7QUMC0nakll29jLTkve3Lrd74MfKUQG+IaVAVbF4wSynQM\nR3faZm5KR+4LE2rdpkWJkXw1VUErKkH3DuZd55cbr36pXJjv+Bs4l5WSFhYWVAjHGEej0fz8\n/Nzc3NTUFM6WZu5j/cvaij/zZH0sTlcCUDSFkX6xGBfjJ+Yaw4kgtNBgsAAAIABJREFUJqZ4\nfgquZHvGVOWSN4N9Do7Mj4lGADGBMZnW+YkmM1w6IUp1RTiEaVN+rn5ZjnW05gdpe1hPbjFk\nj2+JuRJna8H8i0rj2uNXy2RVci+8qRaf1oLqgQORxDUWYSGWpk3nuC9XMxsHlaB7B5Api9/Y\npRAl73UlO6NX8EQNNiFaXFycm5u75557dNWiXowPhj2lGLc2tL+EfpCc+Ph2XxzsAmYxlkAo\nKMLUjNFrSIGlqKku1mV4ruT2jPMQi9XnzM5cty4X745EJcdTo9K49pgQmeLL+kEeYhpALPca\nsF00nF4+KOauZ244XIbmwFOM3S0rE4mgbkPa7AllwRm4nqCZBEHzEcYbHJWgewfvvVIeFBb7\ncGUZN2ukQaukiS9JIoW36cG6xNFotH37djwLPVxj+7i/mZ7pUzzcgE5gAXeYPh/JD25K6pKA\nlfyYRGMeTJFBSQYmZcPRkVT2cukDQpTnc3cB/8q1zU+PhTuVYzZKmkb2Ss3oSJBKcuNy4i43\nG2ipzrqKRSgICugpaoU9G3wlvySOXHCdjxZy1vFdg7THP77UdtFFPQg3kgoRqQTdQ/gU5KTv\nOoJbpetckpJoTFKSnJIg4iYt61paWpqbm4O04V049C/3WJ9vcxxjBDvradN83AlLZpaZxo/B\npdDP+pNPQRRcltg1c+gKlc2V08mbpt4kX+odyb+EdIQsBFjJaPzSUatmFQN2TIshHo6zyk+M\nBXAZRgwoiyFQ8z6UdRXy6BRzDUxLSNsDRHKAYGDHWe1k59Klo8CryOysq2T1s8a6hDRJu1zj\nbhxUgu4dXHIcR9paDARdwnRsIS82Ipcb2psYrKGrJyRp9omE8fFxob3EXHIpNLTdqKaDuyYn\nJ1X4qA5qiyWFnlwc4AhjbPAsWAUui7mSi2yIzNSGudGwhkmkTDbQBCbSKSuf9SYubvOzzxFp\nx/OEJQ3BmHEmOw0GvMMunVAjZJl4OGKC6kIeDcLcyq9TWWqOz8P3TNAxd4g5Etr80iIRnDYb\nk3zW88CkQkQqQfcT3O2xQk/I8+tISPo8WoBpWpIAB8PqfupgDY3lmJub012TpqendX+78fFx\nVtaBIkbAKfCcKEdjIUabtv5AZxaiRQg0ISrpZApDdvwTF5bH4yAvMBfqE/TBKZfpc7IKE+/F\nFc5Z8vnqm0jRdUo6Jq4RhFXONJgWFIrUjrnAj+Q3Nx4STgHcKnTybywCH5d7FQ1KFwfbKq69\nlvaMbpqGXwmXBMSAjr5UBa1DMV9MWmxMVILuI0wPNz5on3aqlOXHxZJWiJWhXZgthGNU163M\nzc3Nzc3Nzs6qCobGMbe7XPbC0YH9ydAzm2IHD/Am+jZy7sghazRjWTlIhF0TbAPwIE9hzhCP\nknO0Iw8sp9ymtZGcH5/7ak3eTHPokALaWetZFTTqR6u60/YwjGb3dOQrCu4KlY2ce4r7Bm+a\nPHMpTHOUI4ayUUyLsLo3cXV4kZSgkTFJwzvJXUYbGZWgeweMDUE97LLEnHgIAX/1J8MOuFg3\nskAHUx2tBI0ehbWFhkGgfUIeUiZ5/CzWiSkXqwjSbjnID5/lXudTYCzy7/NlI5IzKb4BIzNB\nC9EiK2jDX4ZioB9xmSSawIFevoheQOlwC1OYS95eKGjmaPWxujRdZtiQ82w4FH+1kjFJIIXv\nKxb7grJ9cmluNtKYw9S2ywcKHG5YVlfIF3yHwtsTSVMHct1g7lpEeLK6XWZHsA2IStC9Q0yz\n89xbSoVSzuCj6zK5Y2WHS25K770euaRpakRHm9Z/m73ufOFmNeo1pgEs62VJe0YrzBDeUGQn\ngZrOyaUr82CqCN/jejwIiXCakm+FgWIGChFDVcCogG5i2qAO0S/IG+YGdeQOhOQd5mUyneIU\nxeEhPz7rr5pDXsDNFMnU2QluGsDnu07z9APbTjaupjVxJeqclTUmRdRFJiKTk5N6vo/OGcau\nAcoGRCXo3kFlF+hDux9fEPJIWyGpy9pNEo/oVnb6k3L0IJ3sF5PQVirnPX1MpIECvdoIIvac\nKL9jVNsW5wHCnQqe7ZRL4CCXzyiuII2Z6Vyul3Fx+SA2bFyrnCt2FqNWUUtN06jXvskPHED8\nBo/xkcnlsuTyOVW2WDFXuDyRyyLXVA7yI4VfyBRTcmOPN5ADeFZou06DJzRU0gpBOk06d01E\npqenp6en5+fnMUlYttQGRCXo3kHfY96IQ2i7HEPBkq9oaPKNLmOXV8HTGjaFMnikaXTlaOyY\nXpKF6ecunaGFnT1ACjykNezs8sEy84VRZ24Z0W0uwL1NOk3VzFKWxgA3MiWZFvEUAozKX1xc\nHA6H2grq3uHssXNDJTMeAVlq6sToYm5uNDouMzxocugKhz5eAzYSqGfYDJf7c+AT8xS/4fJx\nCQ9iXO6tZtPiUuA2n6Sjdh0EPTMzMz8/r7VaVxIqKkH3DuA+9AefJnZY9aBXeIpRVVoPyYUN\nL3NMo05cgw4caNJMyRp7dPA4V7oimkHQ3vvx8XH0c0mcop0N3/siXEEKto0UXKjfMM+aimIe\nKZNy+TaqZnIMbGt4xOXSm1NzyXfU0vlh7PNl88mhMuBWnRVsadcnhSlgaUtg0jCjwKXgGjCG\n0JguU0VCVtzlcwBMo2B/T45pl3uc2NKwM8QYA60ZDQ1SzwlcHBpEtH37drw2Ze/YaKgE3TuE\nPApK8tn5QPNjkqLZcLHyUUhTi+YscBXFOASAlWwIQfWyBt7Nz8/rklzMs3MkNVwiYF4WWWwA\nRER3qY/5tFUnNXPxebEvsir5eL8TzNeefMdMEyAXKZzXJjU2QpEGDS3t3SHFujilb2wuCv7S\n+mELwaoT0ZPIDI9RQnKpawpgQDYMKEL5faD5A0f6us03g5ZivtG0WiDPPtI0Dy0JmutQTZpx\njokIYvB1GcvKrbxxUAm6d+AXWvJZfnb84V8TSMc9BJ0k0CZh0LxQxNph9OKlpaWFhYVt27bF\n5PHAAhasb/TpEAB0YCVlxNt5mkrSNFmjSZdClMSVnFX9Hv7Kkl5RY5ymdAXnmiqF7I3LuIMN\nHcOTHmhuEKIYNaN3ma2fYcMi+RMCzeMJhSTy09m+BpoL1WcZFhYiUKbXSDZYaDjiac9rJu5O\nei1tW0uL11EKrnYeEJRvL9u2Jm0YXc5DVlSC7h2YGkIeisA/Cc2DaSQch0xwLxXq8IgiUF5G\npBfYUHdQCiHohKF6BkMIPq3QRZwA2wAIQFXi6PbapXXaMNCkfEnQ4FxWW0LBfKgNyWk05qN4\nyX3WLPeYFJAT5gKTJVgL7z1O4EY6jvaiwk6tIU0e8rkhTNCDwQAhOkhfUkQ59qkItJ+95Ore\nVJoh6Fgc+G2uh1r3tAsKbjShOFylgQ6ijGRHca/R3TF3drFRlMKall0AZd/gqATdO3DXdSlk\n1YhldHv9q1IXXQs9ARyKNBH1BXYGt4LiR6MR1hbOzMxgbwQN0oBChztFkgDEc9lFCy5bohNv\nDRVy2aUrDg9ECT4qU+AOz+IxklWLuV5eQakxrePRhla0epmdYdgQCRNoBz61oz73/jdpF+Ym\nHWzG1Gm2r0PRjAEWMlp8cVk5Qk4MyXm8SfuxQPAaq2ZUOZjdSO+yOcxfIakBXwe/26zKNzgq\nQfcRzA74IPlLjIu992Bnn3ZH0p/Qc9q0cY/G0mHejLsT1J+SQtM0k5OTmzZt0oWFGMsLTUyx\n+xv/Yv03lu3GQv6zpuOCgy+a/LAlY7G4lri6Yr6hkpDbBNxqaMuRD3q5VsDTYy7qY35WVkjH\nDyrYPoGjjevA0bYYnhb7uXQWu+QKlEWuCapDccqKZbtSWkeuc/hqUGpExJcmDTc68qrpl+b9\nhA1AVkPy1Mc0eYt3DyO8sl9sQFSC7h3KQSvUliE47urQxZKCnfktB9HgtEOhg50iBUFrnJP6\nl8fHxzUuNSTPpqT9EzRNn8ISWMqJCBYgsCaCR9W4CLiwQgeC4HFc9pbOwTNFY4J2hYuj5Beu\nWMNZDNgV3BvyoTcTGbzPbb6DB7eszyf3DCRRP2cVdpcBPcvFlHyFiOSMHGkRk+Qi15H7GDnh\nxmI7IbkWdjRWc+S9QcpsovCTxjvD92UC8CtBKypB9w6ORq/oY/iJ2Ye7hOoRlwQj2A2iG9Nc\nSuUuDbpB0MrO27dvn5ub084zPj6uK7+hfdQBMjk5iRBpHikzR4yNjU1OTkJ7KnM5mpLiEuEz\n1wB6OCblQlpQh8chHTZFrksUm6cYdjb1X4rN5cxkJOka0+G8Rjjz07XJsAWHT9vAepoZM2N/\nR9qZqdmQKVe+L+bZOKtM0GX9mOuZl00oNEZmyCFXbKRxBmgdA0FMh8BLpttImZhx2fCoBN07\nuMKj53JBbS7zND0FKa3M29JKNrCbYRyXFrboUm/laD0ZazAYYC2GJJfocDicnZ3ViCiedmeq\natLKOjYew+GQ7U3JmJKHaoHHTZ65okqdZQhRCupBmoakDCPENBJ3+YlZkZynMTncQYgcPdbQ\niVaac5dmU0VE3UE+hb40+ZkGPNhHanyuApeus8imOGzSTE3ylSE/swZ+CU/BKp7c0J7iptGO\n5SDPPEJfSJdiuvVK7IPoCGXDbTRUgu4djFxy5I7ESx+L7c3atEDcU4xdJOcp2EHn+pRePS0p\nBpMqU6uXw8hnJejhcDgzMzM9Pa0bk+rUlsKlaF/d1xT51zS5extZyilw59SC8DWGlA1ls90C\nkbGFwwdmK8kPNkXekBn2CQQ69pSfiPQ5LjAQkBlV0DH5iFRESzo+Fa2AnWZ9DhSB5S2ebuoH\n2eMSmeriOoEzx9HyGZbPMDywo6ZWUVhmZ24CLaCkkRbebTNKqAQtlaD7CXA0wuD0+5DPm6P/\nhHxxhyOfIBLUfUF1vZYSK1zV6h2G7kYXimkCB09vaf9MnsxpaMNMzph2P5XP8/PzeiIiXMlM\nB2x7pIiEc7nXwihBFmtMZEg55kveQW0sJCO5fWPu0TYjD3YcCS2w9OQploLNy7kvJndHOp1r\nWPKTWLmu8AE/sbXj9wSlM6YItoerN6RwOhREirhyfNM5LDOWAwTNj0BVxHQiGksHte6VoKUS\ndA/BuoN7kRRHXgGgVOyUpr0L0/26oFaDmnVBrS480T6GbTf0jJX5+fnBYIAVgJIPUUE6gSJM\ndDMKMCPGwioVVT5PTU1hnzzsaBrJ1RCTe0SIOpmCQXnIiSHoUqxJHlgdV3Rumu/LDEguEmOu\nwYW4khlTnRWedvgs8wkTKyJY5MJMh1x1eg9A8Y4iKNjA6NJqvEXMtp6Cu7kqGjpAi+sk0Hyp\nMRj8pcs9dZwOkm3SRrX4SWc4MIDrbKYNhUrQfQT3YZ/P6TNb4Ur0Gax5k8TmLJxnZ2dnZ2dn\nZmaYoGOMS0tLmPdraRMJSOb5+Xke5CInuGBiYgKH0jbpkC3t4Xpo4eTkJBO0c26JDiLgkYGk\n0a4+helVKOpOcmbs5BEhvcYeBjCa5GxSkrtpDslpkRmQwSENgVb0YHyD1DRjWhVa7SLCWttk\nzKhUT4uSXNeadX6LHHkzkD0ka8I3URDOpxlVdNo5znDJzszaeDf0iDW9RWPwdU/EzvQ3GipB\n9w48KuTOLEXIl8tdGdozlaD5tEDFDAG+Y/iIp6am1Onh8oW8OkmIHZRwl08Obp1d1ASxdaSn\nnSU8bfurRxeyioQnt5So+q8h6EjOipKdXdc+eSwP2ebhFiZZtnZGGAKG05maObUmLRrCN0zQ\nQmu44QNpaTsn9jMwzTFBcxFQfNSeYefSrrO59d5jZaCpEJjGlraIiRTTvcpqwa/YMMAQdIyR\nT+epCloqQfcQ5hXXL1lp6jdgPd5rRv0S+uqraMU+6PoZRw6q2sXiQ9XUfCoKqBBeY9A0LzbT\nvTt4t3XEsWrH09tdWimH4GhJNIH4P+YOIZks5ABhHkd1oepKbgWd8cUgcUdy2NBceXvJiUx/\nnNVA4YBoUI7JcflxORywIbm8xbycL1zJDP6eGRzWCFTbSaNC3rOQz9kifR6IIAOepmHxlE5q\nZtWv74+G+mCCVETgkauThEAl6N7BFWND5ghJYQDj4+N6zOvExIQGk8Ivoa/+1NQU0zGiBUCv\nkc7qxl5ivJOGMun8/DxrPaxFlBRvsLCwALW+sLCAA1InJiaUiTTENeQRYzxkZo0MGF+qdEWP\nMdiGlRLbsDBTmHSRMsioTYeq4FfjrpWc8cHOgdYBgShhilwaqUA7w7r4HG6ZxZOoh7Lq+HtT\nCWwF2dvAzIvmdrTTQKTRWyQYo8XZ5npGrmAw8GjzknNqnQ29oVAJundwxbosybkGM36bN2+e\nnZ2dnp7WYAnt7SICglZVaxzHoJhIIa46gc4Hv0LWOedGoxEyo6Ts03myStA6MlWdrntJ624e\nGmqGZYrmoBYmPpROP/BMVMkyUmhbXAkqkULnQtChEoQG5khZaQgyv2RV4zNhopdcIAc6MVJy\n0oG1MxtGCwlJth9IJFD0cSkzjSUof+V/UQQ0LmtkNlSo6s4UysQjaXmuZLQ7V2ab9jpHVUgl\n6ITq5amoqKjoKaqC7h1Y7kkxplb/wNTU1KZNm3bZZZdddtlldnZ2cnISw2pJClr9wrpHaEgr\nDLGPT0jHcwhFSXNkNM7cc87pBqSI+sBCgzadjjEcDlWDa5Te3NwcQq2FFrmoEwauGDN3Z3So\nfjCDelaguMDRRJbxlpQKGrfDwcIC3KXll5gxQ9gfnD8s3jnbrPh0kQ67U9GaktQigBV0De2M\n7IspuHLo4MgDjmuMX8VkzyTSWRYeZOAzp8APjYW3h+WzAk1gVDZPPLKPzrT1RkYl6N6BO5UQ\nlUjqG+rf2LRp06677vqQhzxk06ZNk5OT4BGh+UNMIWKrDV6rFmNETIVPsRbj4+Ozs7M6H6gz\nfs65sbExPWuZwzxi2j9TCUXZX2cRNVKK5+LR4bExCNZ6MJlK7nOQnDXwDYg15i4OhqFmdhnx\n+F1oPO5p5tPEVPAFy5EaPx0ujpgWyHGDYr0P+5F8vnU9E7oQLbrc62VYGKEjyBt+NZSK5uik\nWpdPRSIp87m8kSsHDhOTDfzK7R5T7BBXbNmsGw2VoHsH1hqBIOSAnpmZmZ2d3ZSAKOaYXJPw\nKWufBx2zBG7TeXpSrB2YmpraZZdd1Gus4lHJPdLsViii30KKumvSxpWdM/KRQgJYYSEbzJ6d\nM3LMAmXtSc5N7H022eB0mKDZeHD2AkU4oCqYufATLnYkbyUfTCx3nmxD25sgA9LF0UiZv/QU\nWcFFNszOFah+bbxmnOHOikWynQ3B5lPBzK4fQopgYbOHqjDDnY2MStC9A6bO9OXG1J/QLnG8\nJlCdCaygXdc0o3ndkbKRP7ol/9jY2NTU1ObNm7EZtIpohNwFisUOFLcQ6URUX2zABg4CBYMs\nQHZCDC5dO14KdWb9tyRB6dK2TE/4xtgY1AzzTszD8jofaliSy8hWB2EbZkIM1VW+AOA4Q8qS\nU7DJWyeNunzwwYnDAnW+LfzETiHPd3GWzF0+bbIouYXAv3qLz/f+38ioBN07cP/kPR+EnMsa\nQqeRyy5JWiEFzesJY4xwKKMjedoDT8gYTE1N6XGxytGbNm3StX9N08zPz2sUHVNYJA8J00FL\nO0Erg2N5i6E2AIymMN3YUO1yLAwYXu5kWEdq3ZiH8qFsk7gILhfpQqF+AIyNcXA7Us0N7UzE\n+TT2w4wGXO7bRaOzeV5uvCIUUccmoWwdU15TA3wL8sPk6/NlqMazFHMBDltVCVoqQfcQ6ACG\nKURE/RsIcFZ2VpJlzvJp7wXd3w6eB6wZ0ZPxlLjhjwaVqEfbOaexerirdI67XCmD4CSJ4uVm\nk1wencZEGfKNn0qiROJMlyVB40qmj5I7UBa+ha+HvTQ/SS4nOXE1kLgFBcHgg+uTHdCsoE0m\n2ZDg0Xq9aRqXK9BAwYKRvCWOJDCI2zzU1KrLIYVwLq+EyQFBw1K63NoZy71Cm24oVILuI/jt\nF5rfV3bm3Y4kbd0Adaw9IaQ9ySKdt4KoDN3DCE9BVAY6hlI/PCpt165J7MpgycalMCgFGndF\ndjrjypI4DNHjy5JfwPiRxs4oNdOTeajQadP8CK60kk0MbQlxH4QqZ6ZJ55RLCqRhXy0uY/pj\nMhXal471pisGNKbemDrZU2Qu4AKWJe28rGz9SAMsNmaOuLsznya1DYtK0L0DWE+7on7WHb/U\n+6wEjSA2RGtBHauPwtN2GS1td+loozLmDsThaQiB0gcCQkK+rMN7D9eHMgsP812u6WIO/Iq/\n3Fdj7l+OhfdZ8s4caEkLI+ZDe2Sbc4Wym5ASlyyiK5y2KKCRn+bRsTg4hsvFxUeyoFSmP/AX\n+Nck69PKTEeWw+VGhS0Q37jCG8jky4xpvjcEzQ/tvIWfbn5ij1ZZpRsWlaB7B9YX6LcTExMi\ngt2OVEE3aUt45VZ4Eh1FgPBWDyBHcCIoTEijYVpS+4lyNHOcMgKfVcjk4ootnMzQ3uXDc8nl\nEotKyQfRkgcdyvLLwSUPgAkU0VVytJYXMRWS9KzRdCXphGV2Qw7FPGrZxHAKcXk7WUzy81ng\nnXf5prLGBqAFy6XkKD4sRJlPl1vEEszCpoHQHKjqSPuTcOOy+wjJBlrGWVEJuneAnsK7OxgM\ndJe4TZs26dpudUBrGLKk2ScWyOp/AHebxcSgUXVGt/kOpZKfpS0psFpoJw3dELLchL6TKNt8\nPyBNhA1GpFG/puPT3m8mceZcow1B/SBfXGCuYeEW89ED4rvVJoFZuFCdLmnUVaAly6ZWgTKr\nQqoWeWto41Y4QCD2Xdp/in+Kaf4WNQDTaAQvcsJynqvaANcLsTNzNL5safcr/musKRzTkWZx\n2ZYvZxs2FCpB9w4gWcQRa0CFJILm+A2wGKjKOYc9l5UsDEOZ/sZilh2XvKJEUoSfSh71oiCS\nl1edcGaEFBw84JJCrWPuYxXSYtCDQt1ecoJGxph9mnTQHxJkIkaumGc5hzqPGtMCHH0Kn7vo\nCu1vHhRpd7pIe8gt19a4S0hOssb3tFNKk58zKTT55iiyWMdSqDdueiEy5QxwHKR+j0oWstNs\npUrWRhuBtfESckOwcYIrzzyUYxA3OCpB9w7oTrojKDYhEhF1bkA+o9dJHi0QaV1yyc7obOgY\n0LAgFGgxhNM5GrEqw4Kgldeg0yWf7gM78ykqkg/hNZPGhc0aDd3eCGQTileSvhRiEMVHUnBx\ngKB9WrXBBI2YbskjfCP5wUNaJagEisjC8hbNW8lWUmw3indA27T0xoAuMRRQ82Ae6gqZbPLA\nMxMojhQ20vx1uX011tS0hZB/H4mEtGtgWyywXHWnedCiEnTvwHoQW2pMT0+LCLMzd0voDmiW\ntm3LkbjkQlJv1O+5I5mhumFGnzZcB02DUAxHx3z+DY9zabM3FmiaYTPXzxXCdODzGVTWxczv\nnmJ7mcQhLX1aV4l5VOUFpK+VACcDjogE9YCaYxrd8zJxSad3o/6Z/iSP5DNhdoagsRMsHAgt\nLexEHWLGOJKjDGDbFnNdzzwuycXEVWpIOS4zLDB8XT4R38OboXWl+wSMEqqCVlSC7h2YyHR4\ni1MnsJ+R0HhQgXlC7boIOzX6hbsKSFO/caSvmbaYoLkDGxrlPh9yGDWH60Hl4CmoVLYusdiC\nGRSsvmz9K8tMbeFiLhoKFckpYWI59CdkCYrV5xOD7NtBW6BQqAR2XBhbwnN9UhA05gCl4FbO\nAxtClA5Oaq7SznbptGGOXDqxS5KbZuW84XtuPrYosGEa4rmQoDTN6mEjoxJ0T4G+MUiQtBVO\npFGhMgv7EJSg1cmLQSvrGiO70FdDmqUp+7xLEQsmNeSQOzw6JICy+HzTeowVhGhUCvHFiUuu\n0VTOC2m6mNaaC6l4TjaS60bTCbSPGlusmGRpk45XB5mygtZEuD7bFGXBVoqzbVrE+E+41VAQ\nzMdyVKXJpzGlfE42Kh8XI2N45WK+HhWpoXrRmga4XXIe5wrnusL3ahSHw6GIzM/Pz8/PKzvr\nCKAStFSC7icwF8dbDgn1E+1ISwUCLRR0hVhTlAN/I52Ya7hblp0TuWWa5p7vyHPNMtaRHtRE\nwESGzjoJ2uWhwZI8mNyrUQr+N9KUYEuL/YwCRfZ8WuwXk8eAxyWBXLSmGtkIqfcG2XY0jOAS\n8QVcfM2VOrUDLbNk/sK/Da0XBztjgpFNCNwLMGPc3MgY/OPcCi4/OYXpmwkab5r3niczmLj1\nwAcRwUYC8D6XFbUBUQm6d2DhUx6gyTIHA2p0MzCp5FoS/Z8jEDqZJeRbAEuuZ6XwaOsHw9Ft\n2iePLzb6tDO1mI+jOQNCMXz4kolPRLgeDKFE8tJiU2wkGPPdRVCTqA3JN7iQ5JnBsyJZL7Yc\neC7bKiH7sUKdRNKkzK1hmfEEIjqcc2ra4bz2FJMeyPkLiAhepEBOJ7h0NNmQNlD1tHqbq5cN\nM35iv5DL5bO2hYjoDC0apfTObUxUgu4dmqbBUdx8TqD+GkkVQjd16hqmXb1edRBEVknQgTbN\nkZwoTW9hYnXkQTaHDSIdIaoylGSSKp8IBWcqCqqcK4eJz3BZCAG+IOykqjlH9pZjW+fc0tIS\nLtZq5IcKUSQKYjIjyesttBkpczTK2OmCx5VcV0Z3M3ViBMYcakwI0jeGCtlw5HqK5I9y5Lby\nyZWPejYNym2Ep0jy0SlBYzMvRwtwZMOjVkHvoNtf4ERBxGwIKVzJp931hWahx/2Nu726p9Fj\neVqs1Lzc/zvBPI6pJHyJHgvJqQaAnQnmWeUjSjYps1feCFJjTd1SRLZCkvZnDorkhwE7Q32j\n3ozEc/naIgDy2dgelyL81PaYokluEfUafSJPJHIe+E1o6CxwrvyQXNWge34W/sI+sYIW0vJc\n86yOQ+6bKluWMxNpelbSKhsUkE/73sioVdA7YGSq2pnn0NG7MGhl3cqULUWfFJKiZb+VZTwM\nrmsHovJf9FV0KrgdcSWoCik7mpN0ud50uaNgBfrG45p8azfzqIBqAAAgAElEQVSIQQ7PWKID\ntwzXC8k9hc+jNfR2sDP4EbwZc5jBDRAoOtjnUdL40ueuG8OMntanOAryc12uYbwDS7TNKdqa\nbQOzP3O9oe9QRDdzto2AMHXraGAXyJ+OnKA+8eZvcFSC7h1cciCyL4LVqEZoqN/DpUisSC4F\nyf2YLAlBPY7iKEIKIJM8moJ7shBNSEHcTBBNWvAW8jADQzdMWKbTSppZEiJNUy7pEtS4RZKX\nU0R0EL2U9vxjP6mjcfoKJYUxQ1uAB8FiuIV5GS4RmEaTSc4A3COdm0+ZDEMma4ZD4ZXmxl2i\n0yDNwMXUHrLnycWMC1xyyPCDJNfUuN4TuBSh8IBzgqiczuHIBkQl6N7BSCf2YIYURad9D3qn\nSVG6xpUp1KvxL5MIBptS+IJl+UgPk0nJGa2Ub8ZaNGlpMorGY95IkQ+S76fD2YCx4axKMjNN\nvhuJepxbWnaITPIoPtDSDCYdFA3zaS4NF9gyoVYdoUkLPkuq8hRGqatGEUzJPgrDdGwY2NCG\n3E/d0lpQjsU09gmV4JzD6IdrBjXvKA6Ha55fADQZGx5jNWGw2b3Gz2Wsrec8GFEJuo9gTkQf\nk7RFGUboujlGJ5UwcSBNkz73ZEeCLtBUIavgUrGaJ5YUb5QpWwvTCbm8rDTZkWoImn015ulI\nUwO5hsPhcDjU60EcKC8KK1205XJBCm7yyXcsxD6ORvdsOJlkwWXKzjg9EtHurJERZNnkwdG+\ny8VsQvGwPJKpsPTtMB3zv9wuXMYmbXRlapsTMSYEFQgDjOwhHa6fSs1AJejeIeZ6U8jFYRYi\nxxi1S4M7oKSYoA1HgwcltwRCk1HM8iU786+yDEELKXTOEpgxdm2uxiTI6eiVKKN+78njaW6B\nQFPlCIJumkaDgtmB67o2x+Dscd22dDACj1RCOr8G6TS0vKVtW70eRsWnXZAAnldg0uRIDNR2\noHA3RyLabI3Ck7FcNH43SpGOUpjmYONqiBstgoLz5HagyUmE1vGOIpyfMtmNjErQvYPpn0Kn\n4cU8KkMSeZW+AiRlEgfXMNOBYcHOZffoVLuGuw2J86CbGdBTSKx5EPd8flb5XCE/tXTtE41t\nd/SDHqWIyjR2q+QgrhMwC4cJh3wDT57/lLQFh6PJQ7ZSkvs3eMM8LripGSEHbqCAOWQAId5m\nJ1hciS20pBC8pi1QZFRsqbJjbqFRLp3lxony+pph0eDCwoIuGlxYWOBzMiUfVFWCVlSC7h2g\nQTDmleTcQC9VsebIjYCJF3Cf6fBInNmtk3MhuHAL+owrhquGnQ0vs7+SgSvBHcibITLJHTWm\nCCGtFjEOzUAhz1hmKRQ1AbFWsjNohTMTCFyB8D5xDn1yzpjKx7PYAHeSY0hL+X1awifJPPN2\nSJJv77dEm6Zy1JphYWZtbtNYbI5oBPhyGebbfe470u/VcszPz28nIBQ9klkVMielvNiAqATd\nO3ha5I2zAdFj2ZHXpgV7QhLSdD/JeUEf4fLhLTNsKMKkkCtW9FJ0aUeRbZigR35M3zYPAn3E\nPLgNKeMpUHPcq1Eb7Gkt9z8yvC/Jkc3szM/iJZrlYL+kVEcrMrSwcCKXxrJTIaIhhObl2Hpx\nHDcomKt0ic5nkHxPK2TM5CEW4JeBTSwrbnyWYvjiKTAmhDAajRYWFpSUt23bpn/n5+d1yzpk\nDJlB7XVW0UZDJejeAR2Ap1natPIKvuPO3iXFVDh6WsksLHMCxXVw+pIraCN1Xb6WD327zZcL\neprHN7wWc8lcqlqTB4AZM+SHtsDhw8N8pGZIkNN3eYiLFEfVCIUoqB1FoAJXEZywAF+2nGou\ncxhS5Hik4xegkZfoGDPOPEyjeUP4WZKMk3SdDcYczbUEPkXxfdqrBA9FriD/h8OhsvO99967\nbdu2bdu2zc3NqX8jkujGrAAblVV2mQcxKkH3Gnh91deh3V7SmuyyB7J8Y3Zuaasz7gCdCjrm\nXg6XjjjxhXuaOcslVRsoWE1ygdzJzuAF6dKVnTTNBWd25t0kjIpHbXSaNKGlLiHfvY/ZDYYT\n5hMzeFCmPjlhJyYmsFLfU2AG7O7KIpFLp98EOkzLELEjL5Cj2L7S6nB9CpkBM4FRWlN+MXwK\nMdSihXRMQZt2dh6NRjr4a9t2YWFhbm4O7Lx9+3aVz+oaYoKGbXO09d0GRyXo3iHmOxSDPkRE\nt6mLpF5xiyERT7ttgATRXR3Bk5NESEQLhU+EPHK2dKfoE0PamrlJG3LyBY5UtlFtLa11ZPIV\nknvmJ5QL0Ro8umfKCLlTGze6fIgwoKNXXb62mxmcvRb6ATeiPnEGCubKcC8CNvR7dhD7PNiG\nW7alw70CTdlJ4bd15KCPhU+Z64HtN7eCaTJP09QwCT5Fm6At2nQkjb6xiJPRicG5uTn1bMzN\nzemeomBzPAJVFNJ+AMaWbExUgu4d2nTwz+LiotnsGOKIFS4TVqcCZWUEzo2FE8PTphCRvCJG\nODualMP3LJZdChgI+WSjSRm5YhGNdMAUgYLqWA+yRgY7s5ejTUdD8eRhaa4k9ymxDwe6Eqzk\niwhljsHweZAZopuVqnhNiv4Eju4MGUZ9GoMU09SfyxfK40uX+7VMnTNB83ti3gqfryQEXUYS\n45IbzrZt9VSUlvYe0S81bEM9G2BnlBEf2rZV+Qx1cv960oMBlaB7hxCCipHhcOjT0U3MVqVz\no6XQKyFCZ6mLbtz5UEc63fTnmGtbIS9zpEA3T9FpyDbuCjS3yQYDMOJOCkXPXBBpHtKwMxi5\npQPuUDkhuUfbtLecI/h8+38UHych4HqWvaypWSnz9CB+MoHPvN83N6vLBzpM0ELDqUhwuQxn\n+4dxGF9sGp1r3uUrTfAusRlmW4UFMouLi+q+QPuGtJJTgXPTJbfcyHPpbNngqATdO0Tad00F\nBfc6frnBOCHt42P417CecQSjuwoJKMlVUkzCPJAjAh1J8uMBJT9j2+VOGPza5qGvPq034dya\nIhgjESmskKM1QNn6AQTdUkQgZz7mB28jz+wdjnRQOueK868cbdzTxhzylYzSJR1orRCnwPXQ\nFOu8JR9/+DR9Z24P5O5HDlFwpAOLgnbBNTFGngJ1afskJWiNdF6kk8Vb2kSQ50LKd7Usr2x4\nVILuI9Dr1AdqfM2OXLq4uE0rpJk78NJj5N7JzgB6oO/aliySbwFrwJq0EMMQNDLg8tk5Vka+\nmDk0Q3t8z+5Rzgnrcf7XEDcUNBdBiPI8rZ2BRwLGAHnAo3E911tDW2fgXpSI26KcKjT1wC3S\n+SU7ZFBG2FdTtPLtEiJobiYeD7FPiTPv0nnzOghgm61ErAejhMKtFAtXDNcwBgflW7GRUQm6\nj+Du3ebrL8C25VteDkKFllZLrkDR61gf4eksl5AUCyIQNLMtsoGU0cOZSXG9p2kuLjhnBmTK\nHF1yvfm+HCyDgzDkj3TSh6dZKZ/COXw+sakCkItjLJzhWaby5QbsnfaSFXEsDpEpKxDpG45G\nliC3FW0eQM3mkG9E/aOwcLLrFCjCLTBYwSLGpeLYKuZlWWbeOJL4qBytqATda0Ta4E3Sqwy/\nh+ljkjMUSNbl3gPmsk7WEJLSSIQFstGkJbmEtKwGnR8FkcKTwOzPT9fPPFZgTwUTygpEw//i\nxkBbRKGYTdO0tL4DA3zJaYtTLjmaG678HJcHJ8UTaE3XIpeyEmJhy4XUKEy1z2cv+M3hRyDZ\nQFsMIgU+iDYkFzOOfC0DtNmKtBRUXr6ZgWa5l3szNxoqQfcOZsyON1voDQZ98Hi5VJSmexi2\n4oeaG/leV3hU0KmWMw/t/9feu63JkeNW2yCjVFupu9WzH9+Eff+35JlWq1RbZZD/AX6u5yWY\n1R7780G4C+tATykzMoLBCC4sggCI6GNDVEZHkICEah9KtsKdHeTVW7y2mqjfll3qVXWmONe9\nwyLH7Vw5fIYf6GZ/W02XRRLyV/u+u3jXozekI8lKhe7VjatUFk8YHqU4OrB5eILhKoJubWVn\nM3Ons0fRPTw8yPvMR7yNlHfdbFs85nxA7J/feJTvBEnQh0NDmnIdaYQiaH/v9e76f8Us4Z3W\n2LNR+63NfgmHhm5ZlsuCCCqYn9pIWJAz1BbvsC0UEGhrbQyPNLCGNHu4uzpHjLwFNY8cZyCI\nOuee+H15WpBuWSl89EcTvFaBp/hsIJ0olV1n5whapqvNu9IYFoptMb2rKe3w6thiX0nQwUe/\njbhvOje8K56enkIGSh8COaS5l1mkB0Oifxv2f7F3jyTow8HnjB4qawuxrjLNtbMv1+xLjq8O\nDv8Nn/c5AqRAPutvb4bEe4F+L4sXpcHzKzZfSd8WyWaL79Vmlg8fniXoOmPlaIPvO8hJ8qn7\nW/XhxcWFSmWSo51SeV96NIJIX08nUK0tCrrPJU9p9tTVsp2hl/qC0D/hE3VO6GE9tQvsxObu\nIO8KJ+j7+3uvfyQNwZ7XA63Y1kAPIly0zXmJ7xxJ0IeDE7R0yoaiaBWhAvyJGGQl5TZ7inV8\nOKbDLVgRohDYTZeuY72oLh5SXYL8Qt4MJNKWQqn6XC1kywvk2IatZHjyOorlix9t4TubaSI0\nng12SvLYspeXF79rMYgUH39l4GjlpzBvxbD+qTsi+ZKRV861YS/LLNjV8+EkYslwg28Rus3L\nesqvkW7wW/YqSJLPp7HxeYEBpiHkI15newYVLyv1zpEEfTh4bcaXlxcfz2UIMUOhO3kVwpCr\nCBezedRRJ+onHZ5u0gqPCQpowy6iIsTAocHvWSBpAyOsiQkaumoDv9Ul1n8DPxroqc+pH6t4\n35cCF2q2F9MQPWknX1XLtHk/3DKyPXWGNbFQz44EHYyu2nzWhATw3vm4Zf/4uPmYKlZow0ui\nR7bNtZ9KKWLnx8dHZ+fHx8eXl5feux+wzSmIPP9vP02anyRoS4I+IFpr2hTj6upK+sXGQpYm\n4HzpSb4kWQ1UEneZBax+HrSPoywCeaVCm5clC6Ip9Hmgfl06xB6o2ToskFQ4T5trM9GEsMEV\nWRg0EvQFy/XZ5iAEVUSShPRPXl5ePGKhjGizMjxO7A0S3MXYNkWdzx4OzdYxvN/QmWU2pXwW\nBhvAjg0UbIt81l0Hj/w28stfX1+dmr0EkpYHFUKu97ONAk9s0vquhneSnfPOkQR9ODRU9e29\n11o/fPhwdXVlZqq8Y7P3kxy38qBoyOYINimmtqwclnmabOAy/bbAU6zfVqwIhWHPe1SrQsv5\nLSme3LGyFf8umOmvHo+Vo9tYkm1Ym3JOpO9Y3CqC/vDhg6+JMUEuGBIqUJ3Kr6sbp0482wMy\nPMGMBUvTZ9VM94h/KD9PeNAF1TBszACk+mWc/Hif3nnt0F9//fXr16/39/ePj4+emaK1RIVI\nq2PZ82/90REQvWexJDNLgj4g9lHlR54HKWiFN/U515kDIKzMrARtS9nlVd30c1gnp+R6w2AT\nTUucrlc5y7y2xBe3OUTBUWaFvtKWOxk0IXCWZHlotrBgq4HW2vfv30spz8/PF3NNZ9+iV4rS\nP2H1HyfBwOks00HPD/Ws7uWs7ezY+0bSXkbIYKp1g+z2ikVdPqzQaXVsR1lK4XqgNib2nnG3\nxtevX3/55ZcvX778+uuvks9anJDWDi3UJ/WNuA7OqGykbr5zJEEfDmGibXNYm1x7/jYrII+8\no8OEvsym7e2oLAlqukfIFzxelsA/LPBd2lwjyRb5xp/8dqsMQ91miifH6Wwdzhxyk0pq0JLZ\n8B1xfuBm8vn5WY5jwecxTtCXl5fPz88qP+8S++rq6vr62v+V4l4dRyQvb5hoV7awlBLyfdRy\nLpCy2AXls41c/HW1oIya16FDZIRUb89QCOnh4eHr169fvnz55ZdffvnlF5fPHvscjFBBTe2g\nl8s8jfMGyMUkr1EStCVBHxBh3YwisS0FJfRa9yVIWQgyM7AkGbbD8dchmX+DoKWGOgLjOCDZ\njHCnIlMeuZL4etrQHs4ews3qJ34vwVGgA5zsLi8vnQ3rSKLZR7VMUU8pRZTNmkc+x3eCvrm5\nubm5ETtvcy0kGzMP/1DdWxCEzp4PHegKlwamjfKHYSdvP6cns2yoRKrgEz//hirYsq/qNBuL\nIs/Pz9++fXN2dnz9+vXh4cFv3GZbGG6nLpHXNvs0zIy7eXlPepG8d44k6MOBCmhHWTv/VqOL\ndTWltgqKw5U3YgBWORPIMSjowNE6of4mbwanh47hbKDAzRJGbzAkbHP4oy8uF1mmYEVsROOF\n42n8yijYr/O4WO69u44u0O82l0uuo45oa83jpm9ubm5vb6+vr6VAbRaP7PMyR9fxKQQLLYtI\nI2qoTyuC5ivRUL+ljKQncXeI/NM75v91w+9xn/I7O5ydvfqz97AWBvXzhsxGGmzeaUOtFd2F\nTOkbQ+QdIQn6uOhj8uteUTPb9116Z2Uc/URcELSkLfut+N86SYevMDByYHlqnzKLZfIvJ60d\n0/Myi/0wFEnofY480QGhSTIMunEdWVHzQc1ebYwyUzhVLyNoITyaUsrV1ZWLaP3czLZtu7q6\nur29dQXtUpe3o0v4md0zviN93GbLRKbWMaUUD7tuw1eritg7III2hHPIgVZG2SNydLAiNuYQ\nLp/v7++/fv369etXRW6cxo7mjPFghDhfUfU/ZQEfiiaFvN93jiTowyEMD9cvffjptrkQcOBN\nQ3wxWalgX0E6JQJfGwbMev6VIu0NjjaII3oV6xymTU7nRQW1SrccJL8tjBy+tZHDov/WUQ6C\n3FGQUcJIuDYiCsjR6r3Ly0vvvYuxferFxcX19bUTtKcaGXaelTbX7VxcXHCTAbkUaGXDDRos\nt5p3mvcvbwjo9q80CeNmJVoMlJecXefNYLUNpnR7iKFeLUVu9N6/f/9u8zyG70zHVI+vAY13\nObeO8j6RBH04aAx3BBWIoC9Q32Cd4K/C2ebJdTiGI4HyrUM+6yQGbpKF4OdhWursoDXMQJ0d\n4O2To3lp3kiZV5nUpPCVWivPsns2KTN1pGLLRNCkuTbKtrH39n33IAen5jpWCLldrP9WqSty\nBZThDvb/qlW6qTpXE+Qj0G+9bXRo6EgRdx+xJd4G3XhB4VBl3xRMnvzn7oJXOSRtyL0jRESG\nTW+F7A3b753WsO3shkzUDx8+6I1qo6LAf3fs/P6QBH04hEwz1yN9nvwGkUhJoq+CWuHMXbQY\nCFpoc2ycuE9X7Jhx64A2lz/mjNXOCfBgA3gvutxqIdTggjmyxnbwdRi8HA55FdxLYMM9wjgN\n9qFhycsJizR0dXXFzasU+aCu5r9lOFLU4eE5dkxi+Ow6nPvhxjUPKMPNIrW+77t0bsW6n46/\nuLhwx4jra8Vo6+48o9WDNwI7G9L9L8YeuGUsb0rgq1WyGXphOkIA9drXEbFe5iIH7xZJ0IcD\n5ZUXNxDXUFZQT5GFy+L9KPPM2ma6L9iBtCEpbl17lHYLLgiqJP2EcslmE2Jz0Gu4iz5XXCO9\n6ki5a2gM9InNFqXD+Rvonvy7LXVFSK/6iXtdacwK/NfBARUezSqf6wKDR553YbPJaVgesNkL\nTIJ297G3OZyqwtWz7/vl5eXpdNrmOiE+AfoOcD4U5LPzu0R9mY2crqsXhjGLfphiY7zBSdCW\nBH1MNMRvBPoz+EA4SgNBiyXtXGxyw/K6gYkM0VdiYW9AGzGtq3Dzk+hs4Y/yhvu7ISWBzTNo\nf0MmN5tqI/ihj3WwPvu1yzytDu1Rl8oy2QhEs5lQAmX34WhyHe3zdE/H30a6oI0Ymw7fgihs\nDXVYQV6mWVL/yFVNdpb33Fm1jPU634CqLwuhNgo0s8IRH5aZOVdybqFoIj9SSZXuJCkjaETH\n8OF2bKW2zenvfrzizT2o/K3+eVdIgj4c+vBsSG1V7DbNoUgy1Rgu8GC0ucabuKy9kWMdBJrO\n778l07Vz64e67kr9VMF9dlMaRnLgYkM6WbA3dKeQjg3sbIPFZE7UQlIeKbvMcpWWo6Omkiyc\neEp1OEspquWtr/x5yc+r9hisEUmZ/zWY2HJugUEX8kJFZhbc6PRyVJQhXGcM29j9towgE13R\nL+qU3eFPVx0o5RzqvaWzgg/Ifyty3xDdqMb8hgF7V0iCPhx67y5bPH221urrJ4Yh5EWKw1KM\nOIVjeCXuhgwXP6YuPmhbgr3Cf20OgBODi7sDF5DB5T9R43XmOjthDEqZDbARxtcQoVGWMA/e\nSwPI4+T9s2xFwuJGCtKAV1dXHlSnSm+aGThD1Vo93iMo0NB7FVvMbKNybFtyQNYnUpY4Cnk8\nJHudbVlUT3ytY/StrIivYQpebVU7dpelVp+33//Ytu319XUfUdKcIRlUvz4vMN7bSJJMJEEf\nDn3EDHB0+VcUZa7U2pwLoLmkH18wTdbJGcPQUfOI7GwzYYWveACnzOuR/LaNmDDq2fCrDucm\nBebaNnGxbryP+X6FF7jPLuzQ/gpPd5mdCYHObOSDaOtYz+S+Hbi+vt62zXvV1xLFs4yV9r/Z\nqvpGuIKeKXvJ5uDi/ob0lhW/vr5uYzOHbdtYXoNdp2IjfoC+9aghrX9eXV29vLw47WrxgBwt\nJ7h8KRLvcpGXZY6yvlFB2r9nJEEfEX0OgWhYNdrmomjO4xyoq37kfzU9DwTt56e6LLMYX4nM\nBxLFUWiq/ANi/3BHOpUa5tcN5Hv2ds7+G4a3fLVOnaJjXT0YCXay85HStctYc/OFslrr9fX1\nx4Hb29urqytZESfofcREMiJtQ60r6cQy+1LIWYY1w7UPSdkdUY/OuTc3N87OcoivcYR9hHOI\noxkQXeHddgp2gubejAUOZXneRNDyJvu9018UvGR8vnyN3zmSoA8HUlKbI9U6FgPl75PY1KTV\nz9PhRG5LeAZdHB0rcmpDRV2LNuLMNG7Jzhvi0ir8wmVeewxWQVws6heR2RJdRyNh82Z9bV6V\n0kV1fp+CtHlBVcfT8HTod5efytgWQTvzOkHf3d3d3d0padCVdZurxfosxwaRiYLVgWX4cFxv\nGizHijZDPemy3RCK7ikz3s5gIba5IKKNWlGiZj5NNlVEzHAOW1Yp+UPvFkOcSZ1Xqml+bJ7B\nJEFbEvQBobezI1Xahx9HBQXjNiqWBfGlge3/DSxpICb+qsw+6/CtwXGhIaeD61i+o5INloYS\niaRDZrdhLdarU171Wd3zGLWzjY2v9lEWjiO/zv53G2zlJTWcf33W77r49fVVCvru7s4l9oYI\nkBWh/bQ9orMO/aseawihCR3VIfzb2MSvYeG01uox2tTaNnv59SasD4tdTYPHV470Gqy1Xgwu\nKoZZQhuxgG12N5fFb/aekQR9OGzzbhT+ur+8vJiZYlHbCHqrcNdyeAv7yDdpwwW8zwHOBX4G\njcaGGIOGdSo/PyWVxrb4hf+KVphh7KeSEVKD2Sr1Rrg10kSBqCcHtTkvJlBMOA+JtY2QAy39\n3d7e3t3deSDdvu8+wfeHov2tbehBVtWoI6qsYkbvP+yzI16GSr1RZ2j2EyxQhQNKV2fnh8ST\nBv+V/7CgtFZFUHl40DqnlDJ/q3NSa9uI8bhALjsbzxdvR+GOYAb+RwPod4Uk6INC3Oqj7vLy\n0sw8plVu0I4pufRmXxzN67y4z8l1di6HTZ/Usa24RiMFcpmVI9svcj9rFfTbOu/0vNoDg5Qz\nMIWouQwhRl3JP1ZqK7NM0w2WUa7eHdBeOPTq6soV9IY0CkU9O3HbKJjZhzMhnN9LtclMyvWh\nVnX49202IaG7yKe6u8CA24jLlkkIz4h2yz8J7Fxmz7h+q66zYYf8eBK0/8S90qy0J3VfIAXK\nWJDs8woHX4B3iyToI8LHs5Ry792V2u3trUSc6yOKIAolOZpF1m2J99gQANfgoiVs5mgOb5t5\neZ2AN3jA93NlJ4WK5btAqRyopHhOlv0TcjQJOkzwbQmh66g9ZGYunwMKtrjeUAKfzqKGuvsX\nowqzn98TRvQc2W918bGwk/V86+yap0FdDXCF00lt4wJAnb0WNI2BwTeEMAcZvs27yHNepRun\niaI3Y0PxPN1RMvKKJOjDoY0SYlqP6r37llfaYMnnjBsy9DqEcyBKhwahfhIUlv/KznkV+jyl\nJY9IuImFSdAyGzZLwg5H50oZbIAo1dFmF3aZnSQ2r3Py9g1UzuQ37zqV63QOVbUjleL0M2h2\nrzPv2GiK967EIjPzKkv+x8VS2FOnYv+T9frYTjD0DMlXtoGf7KjL7HenRcg16I1cz0t3OGFk\nA2wxtDJdXJywQcR9lM3iTKXMOfRqBo3Nfz1afu9Igj4cfDw7F++jaqhvGusuDlfQDfsJyUug\nkamRrMEcWFJKp8yZIEGj6SeBAfmvzcM70KJhNYzt0Qk5VjlzL5jp91HOWB+Sl9fz8Cpqg885\nPnz4cH197VtSqXyE96o7KLZt88AMX2RjOEEZFXzavPXfPqdlsuVOjs5QDGVjSAM70DCNqAik\nYW8Tvfdaq3eODhaf7qgBHYocnTVyfII8m74NXco7rQvKcMXs++671awn5wn13yC33zOSoA8H\n92k6QatY0vPzs5m9vLwwEHVDzaDAfTYHCQSarsuiGcdGh7wt52adYWitXMnfioN0uTbHDtY5\nAItUpR82xCeoDbRJYpYCMa75vnzWzs53d3ceP3cxSiRrX8HW2rZt7n12BqdvoSIdhmRKo0hi\nErE6P7rzpKMsBh9N6E/aG/VD6HB9LqHNOZCeJpciQn+u5MhmhA7nq8V/dcvBZ+234D59PvHQ\nvJWy21jz/M2B8i6QBH04uIJmRJeiOETcLy8vvqOHSFBhZDYHmVUUq+yzDuV4CEqQBE3qt4XK\n1WwOXVtkmv7bRwl5jk8Zkjov2RnsjUFN6176Mu8uWMIqcIn4h1dXV3d3d58+ffL4OXdZvL6+\nuj/aF/H8MCdoT7rj06ljacuGeqWRs1H/JPCajY0CbGSRGKjtrTsN9E12a3CqhKsYuLvPXosy\nOxOCSSDCTa3svB5/1t7UEVSuS9RaT9h9vMPQsm2poEne4bcAACAASURBVB1J0IdDG0FpCtvy\ndXAze3p68uK8nj1RRyFjEZD7rP08cmJ0ZHIbVmPavIi3jnmDDipInuaw7/PaDi2EPqGG9R/y\nbIbAODVeX9GvTYJgM6Sdy7KuZbAc28je1qYnipJWj/XelSStCm0rN3HyUeZ1Wpv5Ubfp3zpb\n0ZzYOcqjBg/s3GFQg8+hz0GKobXq2zCjKvCD0x6/RcS8hIGLw10bhAKtda3Vp4a0rzavD+sG\n1wa8NyRBHw772MFIL/o+tlzyreFCcoSkdEW8nc1lHm1OCDaoaY2HlYNWQrR5QJ4d2IQoQJ9Q\nVoeDZQb6mOTaCNHTAfYGnen2Q8U4Tu0N7hR6GPZ9d1Kuo7qTalaoPYEryY8G0xJEH29nbRJt\nVejMsz9Xl3ZscxXmOmv/kJ3pbrI3XCWBr8MjNizbnn0l9JOG5Wg9FzG1x7SEpWlSfCpoRxL0\n4dCW5SYX0Wb29PR0f39PWedHeqCus7MGyTr7FjP2RZH5Yas4euvf/5KgddryhuosQySuU+M2\nnLY2kif9eEljnYdjviJw0Ie9is1rYkGSpX2y4XkopWgpL/jEhTXAPHBrgXciEGs4gx4H7XGf\n7aK6NDCv7qIvu/ESYmeybXjEYt7wWPsyPeKDDspXD1THN6x28inbvEWsCJ39nATtSII+Ivq8\nTYmNjTyenp6Cl1ZjwwWgc7d8oOLiMBd2NPg0ygJycRtrTWoeR/LKSg2+iz621+sjXKxjfyab\ndwMRO5Og21xTmP+SuHn1HRtdKzZZTfVLuFOYYq2OwmyU4eJBx2lslxUYhL1BPpL47fNKgDeA\n31JLvvVi8AH5JYIVfAv13JLgeto+oyB9xs6Z4QZXuyYEZQ4LEUfzThmhz0jNtkTFvHMkQR8R\n4h29607Qvr33Pgp0SD1p2q4Cu20GpcoKilAOQrGzIah5HcMGRRx4UENUEL0qvrggLLfP1VBt\n+KDpw2EjlW8ih49KffIkgXltcHRB7XydX42xOSx333fu/LROdAy2inek3hB5+al0X2VxXhsU\nNK9Shs1WnHUdwelllurh0XSEM/dZIPPR22wqbCblwM46Q8NsTK3VeRSJJF+HgjrWB93mhZBE\nEvQRUTD9b3Ace+qKlhD7XCvS/3CW3Mc+Gn2u/MCRrAlpmcGW9EVHr0OI1EZ5S3LXkQV+SVtE\nGee5akPwY4rUnHbFvPq5iEa/9dwTFW7W3h8iX0NReYrfcPvS5qxRR4Yt2CN1G9uS+V0ofsZP\npdpGgQHVUTo4UFWBHXWnlh4un/JZjv6N903UT/peHxBfDL4zqw32Y5QaY8OoVNSPDgTNq6xX\nfJ9Igj4c5E2W8NEoJUH4C+0rWsp8o5ZsS2qfzSNfn3Aw9Bmc43P861QktRDLzJ8bWEBUaBiH\nfS5SqgPcaeOyy4lYpFDn1SdDAbw+b8HnYXMqDarVP9kwnnPlqZWkZot2JjyZJ+xwbtSxGaAN\nSlpvmXxN20AT632ib0VzNKJsc5mj386+EjyYH+q/6w+D5ySgzescbQTMOEevBO1LBXxJ/qUB\n87tGEvThIP7a5/Qwg/9uH1UiPfPCecdDO7ys0joUz+qgstSP3uciHqTafcmXK7N25iVE2WIl\nOWGY7mzLlLy15hWc9d+CWQLHrchR7WS+nFqlunQeWufOej/4rKGSRSEb6jadFuscDtHmRa2V\nsALF6+rqK9kSg0buCL9h/9MoGnhwtcc2FzPh09QBHbMENp6P2MCzfAHUD22pZRiMh98CY0PF\n0Sqle8IuQvu+b7mrdxL0ARHe+4bVEnLu6+vr09PTt2/fVHFNdeWdFul31jnFQQX6V9fS2hc9\nJBzVPBuZS4QSqM21Uh+uGO67IQcLL8EYOIXZ2RjP/i9pfR9x4jYYyh3ENnbG86J0njqo7MFS\nilzVDetyHUVB+SFtmM0BiAWFJuR0ssVA0gJ1RN3xtIZJSYPDWp5c5mr7XQQ7R4+NLbETvBwZ\n/Dfaw+NlJGghROI7EqCINpaX1Qn+lhasH3jaju+SHFZT/rUR83tGEvThoFe/w6uob6lNvn//\n7oF3qhrRWru7u/MdC/scn8CxqhNqjPV5qT0MdV5a7BxGaYeSNXDZhgruzs7Mn9bxPIkXFfLQ\nb0VxiInUA5RmffbA1uF3lnZ2dlYF5zpqROwjkMOwcqj75c3qpioKvRbsfm3zZlpqTJh5+MnV\nSwUO3LaEZPQhQmkDtnkb7H5uflPhSipYJLQ3CNrO0asOYG/L2ASr3+aAd8FPLmc07YrmJTZH\nTBb4mt45kqAPB5KRLcPJwFCeFP7w8KCcN2dtT2LW++3vOmvXUdPpWvRRBEI0iGKbx385N5k1\nrJLRsyF2rgi51aDVqpqXrXh6ejIzbSNtkHI2vAoq7CeNprHtM2jHBfbZI4UFgUmDpHu0pZxI\nnXd1akjGU0k5G4RF78dbfRusZsNW5VSvImjeZq11R0Q2G6YHZIsoFvqcTEjjZLPV1I2Qhdc7\nWl9Xm81MYPY6e2BoZc82+L0hCfqI0ABj7BEP0LBxRwfDwnwYq46EZBT9A2QNDYa2xFqEgadm\nVMAQvurFQ/pcDIjxbYz00LCs2FXaJwGvr6/bSImkTNbxNntmVQze5pBB2Q9vWx9btUo+U1fu\nc+wtw0XU22pMAbaRIC4hT6Ml0jHwHfs5UKF/1UYxI3s7RSicv0PUcxnWwPK8dDinzdZitc26\nhF5C/VDtCa+xbpA29S1p3JZAxuRoS4I+JtwbIFFGMqW+8DCA5+dn8oWfwQ/TmkyB5u0oR9mw\nDCjO0vG25BeIaCo2Tuzz3ol9uJKdeRVbUuG3KUOzb/P+2W6Tnp+f97FNCZ0htkzDxcU6gLrY\nG6aigNvY81RGYp/L7SuiQJ3mRLmP7V8VYFfgNJAx2JBnb7P4JUHXOX+S+lH3WGZlWsYMoyE8\nI9C0noseDe+Lz7pAJpNb9WKwSfqjLLK3o17VjoRGEmtZ1LEjCGfDpjOaM7XZw/Y+kQR9RGgJ\nSDsoc6WbI8pFBzWywiTWwAD/sCOEoMF3yWlsh+dBR3a4OAJr07kh94KC/8J4NjhAFKHs8RWl\nlBP2IvDe6AvUNl2OLg65NX3MawlR9sAj9ra5FrbuhUpWV/d+1hShjlCEPsdUbEiV1M9tZjqq\nY/bkStC6wW3sXSI1WhG/QeeGOrag9AfTanh+tYctDCbQIWqm8dBrw+mLwbrrjgws3GYvtnrb\n2/n6+vr8/MyX/J0j3fCJRCJxUKSCPhxKKa4l6ZXz+f7r6+vZ6afHYHm1aC8YfX19fTqd3E8S\n5r/+qzY2SWpjOz6uNXU4NKVxgiCSJqLodhXv4RMe/CfNTt/itm1S1l7b0/NHpLIZHtvmEAgJ\nNL+WLfmHulPdjk6yLXk97Embcx3pkwmVPTQXUau2kdQXemmdyJdRoIM6WhJezbClUKf/RM6E\ncOPUpDyhXGQdoReS7bp6mBsRFUE7Z2dOO5IkDRqcr1OQw2oGz7lja5uCsL/3jCTow6HWqt2Y\nfIC9vLxoT0J/oVfa0mSWyywer8blLw14jS5nnB3ocDg6+jlfqubXmrG6a0UuCw867r37kHt8\nfHx6evLFug8fPtze3mpnVa0QeptfXl6enp58Exl6FWgzyKEFrnDO5Q0TZ52EXddRyMlm1ggh\nEDvyd8o5yNehs+nkbKF8AgYW1ufyNsg2GIpDecNOY2e/vviXK1ZfOwLj6FlS7+nZqa/4VXgh\n6xLt3kaAM7Pe9RP6Xvja6HLy28gfVbF7746y5u8cSdCHg3Oca08z+/79u7Se+MiLcogZRSUN\nMbPfv39XTNuHDx92VFbSYBApc+B5Mzje+rw4+ZbIcn3qocc3NzduVMTOX79+vb+/93pPV1dX\nLvDv7u5IYR7Z/fDw8PDw8Pj4aGbamDFoyTKyYDTC+xuR0boF0atyIspwZPO+VnYWVgbXYYH4\nwg/JzqJv/3dDGb8dJeqDn7qjFqDNhd/k/W+tyS0ebKrNkwO12c5NIMLzpZOdrwTfB90OSX/9\nL0/ot6M6KlzYpGV650iCPhy2bfMpv3bM20bOK5mCSjBwiqbkGwr3kKO5hkPuEAtrCHEdrM21\nMjiM/b8XFxfarMQ9GK7lHx8ff/3113/+859fv3716Oabm5vW2vX19Q8//ECV9/z8/Pj4eH9/\n/+3bNydoT1dR+lkYwzbvS+B/hBXLOsdXlHmSHkgq0FOgId04a54E+jYQlvqzLbUA6xx5snJ3\nw+rl2fekw8Tq7hoKMJEcZUEVwaJrqfF6uGcJ2mbboK/UGLaKN8KOVffqQr6mbWYK9VFTk6At\nCfqA2LCjh4+cfd9djborQDzL1XPWDOrD5yumYPSCakZ76G5b/Jgu1pjyJw0r1mN0h0jcC4PI\nP3M6nZ6fn+/v7798+fLPf/7zP//zP3/99VcPCry9va213t3dudPDxf7pdHp6enp8fHRniLvd\nZZ80pFfSFKEEOtNt+t8KoauzL3X9YYc7eCXfMjYIN2z4wg40OHbFemdtoZ442xAOE7nTgq6s\n3RCIabM6lmnRjMpGDn1AoFF9qEuEV8X7Vh0VZjBvndBmOb+NTMINMftJ0I4k6MOB5LjSB99s\ncgeLEPW5pkQZxYZ8ZczJ2oaydie1ItXKWPJS0YyCdLjVASJGCM12V/L9/f0///nPf/zjH//4\nxz9cQb+8vLjIvb6+fnx89CVNz0xxZzG3LbexzkYi1hWpT9VOiXHqU3am7pozfVkmm2tWyB7Y\nsg2uDXYOBsMRCPQsTdvMX3zK5OgdO7/wKRTkOuonDQtr1KqaY+kN0e2ERto8jQgPmm6TisVD\nG/M2g0kLN8jTtjdWDmnSkqAtCfqAoMSTs8Jn+r7Y1eblQb3NqzbcR0lSdzU4/TlV1ZFN1+bI\nBx8eImgJmTajz4mFBfLWswxeX18fHh5cO//jH//45Zdfvn79+vDw4I6XDx8++N7kWrV3CxFC\nDuzcClWHd8L/8DwUA4kE+pOvRoOfE2obUb02Z811OMdt4ZqOlUP1g85JOqMd1d9BI1fkd+gA\nWsRAjjYsDZu0XjFQ7dlPKlYy36Jsg3zekYG5DZRStJJhywRCZ+Mz8t4LMf58Icssut8nkqAP\nit674vZ9ym9mT09Pqj6xChCbs9d0gP/hMUzy98kA7NijVpyogSci85No+ZGReTaG0z42CnG/\n87dv3758+fLly5dff/318fFRC5sctw0rXXQca+nPxvJRWaSc/qY9o8DUXcj2yIyFJb4gD0VG\nb3GczeuxbWzKxQehW6Ne1jGU3m0pM8SvOsIZeaqKkiDbtu0zeJ7wbtAYkJeDs4h3zf8G6Ofb\nSHkP8tmWLJg+En/MzEWDmbnBViDm+m6/TyRBHw4c2x5w5m5ZM3sryUo/UTqyIhY4q3Wn8Gls\nQWQYtPscKrvKqIqqQO6+WOW8/8q/dYK+v7+/v79/enryi3qtao/08MBn+mSoQ11Q2xxz1uZ5\nsT5pKPWg82hhUNRMvg7yWQTtXWdLCNpbT0pxZrJt5CBaPn1VsSRIxmSfk7jZvAb/sp6LMyNf\ngDrCpXl36syKFT+1h9QcbICebHg3OqYyZfEFGZYQw0vSEU73/Pz88PBgZg8PDx5b6cH+Z13k\n7xBJ0IdDG25HJ2jPPXEF/fr62hBKwZ/4PNHGGJCjWSpYJ3TBQvYJA16j3b8VRbrqeXp6cpvh\nY4ki2iD8/Rgfcr13RlNdXV3d3d398MMPd3d3qv+5cvQ20rU1pCnHSBaaIpAQO9zKIjLWbArC\nvA2PkEHArr3E7tJXfU7kodkLU5PwrNer8JkGQm+LtyRMAmR+TmO7RXL0Pgdx81rsBH7o5+xw\nDenW1Od8NG1xLtlc4kMzGH8b9Z6Ymd4Wn+fRmfOekQR9OLSR+eZMxxUziVzqIHn0pJ07YioK\nNjCVX2Kfc/+2ebu/NnIQpPvKWBPTiHJ4HSKJNbXH/d1KD/HcQu2a6KF4P/zww48//nh7e+sV\nnULDDDwoASiCq1jfM5g08Z0I4qxz42Le21AtD2ez2YzZUoxC51wZlhytM/fZudwXxzR/bnD7\n2mzADHaLrepY+isjyEcI/B44lDcbFLRhgVQ3e9ZFQ3tzVj5XbBbsj9udeGYmdj6NjRrO2q33\nhiTow6GNepvyb2r0biO3QrwQHLi1Vle1tVZPBhFb9aFtyfh1FJxrrXl+uc3REfq7j9A9l/OO\n5+fnsMW1Qc/KACjz2+O7tUPgp0+fPJ9QJ/e2hWQ/m5lXtKj7kvUS2YmIg8b0FgYpJ9Ksc2CD\nmJFERq6piLAWOeoS6g0dIPsnH1QdMb/rr2Qj+Qnb3+EDoVehokKWeHkfCfRiT/ZAX2YA+rkt\nQR1UBro7HayfNATDdCwqeqhPh09JC+B0mqWCdiRBHw7uSZBHtZTizgobZEF21vCT9PC333NG\n7u7udsSlOr16ZJuTmmtbM3OvJeUzU8Ylb0Wj7oOWJzrk+4o1XDLf3Nx8+vTp06dPvvWUc7ST\nteez+MnVNrcf5Ed1Tp1dyTaY0ZYECu4PYHDT17FRuh8ZdOsKHUM2pzzfUGqOqp/CluSl6Y44\nnTZYraKJYmuDViVNG/ixjFU73W+FYzr4i8L9dkj+0A/U0aGRfIf7bK31Wz2UNjYl2FF0Re+z\n7uu/P3p+b0iCPhzcRaBB60l02gqWslFjQ9TZR016BrG5Qum9+3TSc0DcTemqmX5qM1M8soKU\nNXiobk6jpHrHXN7g8C3DFe7VOT5+/PjDDz98/PjReZkFP+k8kWs7nE3/sphqQUmQDemC27zb\nN7uL3GpL7Fe4RzGvzVyjhxUIyxZK0vNS22Tq+vAai+aCnmV7DLKddEwzJl5rCJ1kwxpC9HgX\nBi7Wf3k7DZu8lDGZszdMGk/CjqL3n+/tCVWx2J4kaEuCPiDaWK0qw5vh7GyYtHqkhCF0gdIj\nSN3Ly0v/lXOuE7RrSeeIDx8+aOnfHSzyY0jSSoVJwzrJXl5eym0ij0qdA/WUJuMbkHuZDgko\nb6fWQt14SOKRasnUJF9SoZwG25z7bmPPFJvzjFeCJtG02e27zZF/HcJWxxfM7tUqm2mX8wMy\nmgS4jqSpqKiaJHrlvIFnY4eQ90XZdY7kCXzNS6glFa5/zicMPE6boU8K/HJyzjAvyUDQBb7v\nRBL0EaGxJDLSwHAC7WOhhquCG1Jmy8gZeXl58SzqNvbHkkT147UlVUGQHGMwWArOK/E722px\nz4eZj7R9ztrYkOdmCKHTMpG8Lm4JZAzK8Mxyn1kyTllm6LbkYgSyCB1b4Ljos2TmaQWxsKPO\naYEdWYhyuQTmDXS8PnEH7Uq4qM4mYU4e5AGaxMgM6+QG/vW7FheHP9iMMm8ZzD94a2oJydpf\nM3/H/EOJAH/0ZqadJ6myE0nQh4Poo47N+oL/offum0LJQWyDZ8Wh19fX7oL0wDiPz5Pjwv9L\ngq4jE5rLgE6aQc+qXp0qOPMnDLxz9Dm9hX5GaSjx+wlbGnr4nSqRUuJx5K/cFBSoLW5cRYL3\nIUtt5mgd+RvnOcue/DecjZBIpKUJboQ6ViDDSVYLxC41pMPoMNG0Smfo54pX0SMOKp69TeGs\n/1Jo026FJslguKpQzcKHhwcStEw43/n3jCTow2Gbw3WdcPmylhGS4Yt4/lqrFpL/4WXp3Wvh\nzhAndFW6kKqS4nbxq8L/okubNw90dv748ePt7a0vMLoNcEPiHH1CzeLT2ExAbhB5V04AM2vK\nKB5iQ3ltIyaaM/ogkw0lOg0hiSRcpwwtw25zpJ3NMWFhmm9zuX2JysCh+1y7NZgrnVmumCDh\nDcRHguZFy+x8aEvFZ/6hxuu0wfPjfcJf6Ye8OjtTjK//6rcyV2UOApGnxbOlHh4evn375jUL\nVRXLEFakcrvvHEnQh4NTIZeDCrxyZawQKsTCzDxS4u7uzjcx0b6oPnI8KCLEsdmgEg/pK6My\nmXbeU5ycz0wvsM2gaNptgOqarl6Ctmwj4EtkWibS8SSOMup5em9I7XbUSwtCUmQXrq5OC5Sq\njMEyw+ZAiDoHKRdM521xWdA2vMXOoT3kyh25cx0bFGxj65bQAAlVdft6Wh2sA+THl+nVkeG3\numue35A4s1qCwNT+IT0hcmo5QXv2oOd8+wndMLvCYKm8d4vsgsNBs/sChcgZfUP9ij62cfLU\nj0+fPqlSfhsJI/vYSciJ0n/oZzuhrr9fgtkuNtcRlpiVwNfy3b7vDMwwkG8ZRXwouIK8cqlY\nxvJagbTk2fa59oUWnWjDxOMUnjZvHyXJqV7dUOlNxoCnLeeq//TZ86AHpDiN0I0FUt1muSox\nayNiWo3RwhqtQhvRkKtbJhgbHb9el+03MHJop71hk9S9fRHghO5dmSnKdfI4elnKOuIy5df6\nr0fL7x1J0IdDQb5WQ9VQRxiTZWSCePL0Tz/9pNQPHwnOEfIkBKlVIN8K5JKaYRBWBnagIuu9\nh5g2cjGXOum6EQ1t2FpQPHWWYihLAy9oBm0jY0XubN7CtgR46S60FLm6We0cQYukeLCemqYL\nHemaZfYA6Jn2seTb5jKq5GUdqafTF+8KDyN76ph6LjoicK6Bqc++nKHZbXYKbXOBPbFzR/SR\nVjhcPZQ5xaYCZ9vwrpAEfVAUCE9D+EGYq5qZh6+5X9iTQbZtcz/vaa7D2VG9oSCtS9zqkGRj\ne0SOK9eLZ4NO9PMowE7uEdfafjZvQ4fQDk4SEs3aRbqRDcWPGvbDDXaijti+jtodZeR09JHs\nFwxYYAo+kdCSfRRRcbc7/aqG6I71cZOIdfsVaSw2E6Ks6aqCg5GjsQwdG66oP8Kv1A+hW3Q5\nWnR5ZvimqbcZICR2lgmkdyVYpneLJOjDYVVMO4r42EiT81CN1pqngTg8nXrbNnc0M/iBvFzn\ngGL5rCmdnG4a1oj6cEkz089Pq2mpRKjqmrJ5SiO8GFvZ0tlNFX+WR2zMGNYb0R82nKTbSADp\ncFbIXAUiKPB7BAEYrM7aKlK/f+4K2kMGvRP8yIt5E/GVgPqQ0nrQBdMa3gvfB5sdLH0uwSrU\nZT+a8HfoEDuXOhi6YiXogrwnNVKu58fHR99t0p0bfRh4PpQ2aqCftWTvDUnQhwPV0zoO66iC\n5K6P3rv7N8R9nnm4j+JB/kMysuL2CvwPGs+U3mUERfkYExdz5i6/8/fv310gv7y8+KD1gz3j\n/O7uzgM/3IT4Jfaxk0ubw/JWEyXm3cYO0AXrXYFG+xyuSyUoGtW3QRXSF6zOYf/YzGsyFXSY\n7qMGkFfO9CeiNutRhkv3c1p4tVgB/DkbJtLUYbaI6HAeMrV+UhGGuLaN/F6xXOGr3G723Nvj\n7KzIDRXOJUH7a+Mvts8C1/t9b0iCPhw08uW1lDa8GNsJ+jE+cb68vPz48aPHbzAXIHiKnZe1\nPr76Cm0sTzkXB690OKcNIe8X9V95OPNp1LqstbrMd4K+Gbi6uvKLusaXS1qKjMTaUazSwBdl\nnkcbZvfBVcK+1Zkr8mjKPLnmPcoDE4JJGgL7NhQA6mMq4Apa2Z5spyiVnd+Hx1nt1MsQ7IE+\nX8lXt28zn/KKsp3BdK1tM7C2wZ3SxnKuGqy78K7QRKrDs+F7AX/9+tWDN0J8PV9+lpT5742c\n3yOSoI8IScUy0kPExU61fsD19XXv/fLy0unPw6XLmK3vc03RUori5C6wI58t8spdw1qc5DTW\nZoW1IUzbCVqOxTais68BOaANsQri2TaH+upCK8naG+EKaq1uvyHUVz8vmDqowzVj6HMVKhH9\ntoTxBVYykJfCyXmnDMxgY3S/K2MGag5f8RNSfLBM7JmzBM2JBacjZd5LRV3RsMmAwMnZNiLr\nfTIhdvb92t0BLTPPOw0m9n84fn5HSII+Iso8I3YSNDOnQg14nyR6EHSQzytBb2Njb1fQZdZi\nFDJebEwubA6bMJZ4fi0GemkFp2ldkUN3G3neq4fXZl+ELb5R8U6dlzEl7jRNDjX2ArEGflcz\nKjbqJUfoyLNNFUG7a6gjSVJdqshuuWvCE9eZ6ZxpWAYMbF7mhVNyLv+1maB37FPjHVJmg7ES\nNDs5GAAdXJHEX7FU66FE2ltHmSn7qE+gLl3vpczi+n0iCfpwKAt8eNsY5zbG8GmUwyfnNkRJ\ni5585ASBo/EpoiFryw2i0Sinh8siV4jur5Ce8qs4+dpIU+SAP3vL5CBOnG1Wbfq3lNKQBxjM\nRshODDPxtxog/q2oINoXxw5/IpLaRqSgnoK8HH6wYvj62LXP5tVF/Zd/0FQYPO+2aGRDIGBd\nYk6IfRTar0vcjp3T6esVdZUKBz3vRU+KG7ZpbVCJpjpnWbQCPULvHEnQh4PopkDchaFLv61G\nRRvhZdxYtoxFGFbp5LU4JDQwfIBtS4J1H7WnXRZ5G3yPInc1nubi/QT5riPJoi2xFmW4Sm0E\nk4TfquVtrB8WyFtJxbZEPgSO7vAmG7IWCyb1vAW1rcAZ3RdVTjvRxmIpN47ZUBnVr6XVBT1c\nMwsrvXpM7EzeC0+of9/qdr1XZ3tGJ9RDseHC7sM7H/w2Yv/TKB/qC4PafIf1+PusxG22DUnQ\nQhL04dBGXXmbV2kCSEaKd3aNtmZJlCGiyzyd9PGwzfFqYvwytv/wdHAFxsm16l957mIfdTw8\nvEwGxuM09Fs6AVg7ySDWDEkrYmfK5D4nKBrUcZgHGEQx5+M6Xic0SFoRFrNdVgEbLIEeTfjK\n8zmdgp2d3T21v1HkSLdQ4Ze3Rdj2ucCezYKUtNvmaJD1uYclUFF/gautYq9bftXhXGIzVHPD\n2Vlhc6vQ5iu9Pr53jiTow6Eh0oh61kBb0p7iPp9T17F0rgzabQ4TJuNTrWiUShDJP6Ax00ak\nsHOr0/Hj46MX4Bebq8xFHeuZHz580C6FLy8v3gBu19LhBy9jvSt4S+WsaItbOVBGhUPZZq0n\nE0UWDm6TIN/YCav14lOosy8lWNDv37+XEetda724uNBmNDKlajCNR3g9AgWLT9kbZV7cM1gU\nBlm31hgXpIvSDVIwu9LtqGH72GyMq7KazKm88qM/rwAAIABJREFU7WmUq3VPfRnrh8onMnhO\nbNTRbblImAR9QPjbWeGa9LfZxngQe1KjkVb6mNIWpHVoet7hQ+TwE6fYvDTHC4lPnWqfnp4U\nmLHN9ZLKqK9kIwrFj6wjgI+DsM45Mn2pxVMgrmVjgpgt8xx5Qz7L6gqXTWIyjjQgyciWhcHQ\nXeofGyyzIdpMAtONrmJ7ZbeU9UMu3ubQYH3VUPCPNsDGVIMNZn/yVPpXszS/o2D72c/yunTU\nq9oBrsqqQ7RlhFaMvXNk4GlfaSb12v+/jKPfB5KgDwd/3beRSMLx7969gtl9wxSbIlQ0RNbW\n4CxjNc/ORQEbsr+kc/eRGC15ZWa+TngxQL5wkcjq+1ol87vroxhxnb2NUnDkCxmVgrRsG2RN\nNulwVngnMOjb4PcQcfslDPLQQFsixyDV9YACfcsaOXRFcbQarBKsNBL+lDcUnNNFbTY/YUrE\nZ6cGl9kHYrBnBmdaXbw3frCMN2MzDPvg8A0JBN1GYQBNxdxiaT7BmZlhfqb5hL/t7xxJ0IeD\n3m+NJTHIPrbC4tAVR/vP6bKQ8OFo6cNpsKGOpYYl2UQ7EtEXQS3mUnqb46vUjG3b5Arn3Z1O\nJ5fSUrhqAwe250lz1bHA70loSPNG6sj+CERgM0dfjD3FdeMN4dh1FD8h74giSV66F8/N8bx2\nj/bdUSHawETOQfQMOCV5MCVlMhWxbECByyUczF8RKwvz1tQ5updQqoVvhe+Ewt3OdCOhu9Sf\nsjqtNa+huKEUQYc2N7MtMwnNLAn6gKCOI0fbvH7YEfbQ5nJCFeltdYS7ShG31pyaNQFfx6pT\n5ErQhkg4jWr/Y/Vx11r1w0DurTWnIcYANBTq9IsaClNsYxfaMrtxyAJ+XbVTCNJYXU0xLh+F\nKNhmP68yd3yuoAU9xneXUrTjzN3dne9c47nvfIgdswTq2dOo7q3OrHMivh5umxfxyphYlOHB\n1+cNnlxNyHhd9SR7rI7yfmLVHbtHaqsqX/0Lj9jg9pGx9FdRofo8+fpAdZ5EEvThUGbXoWDz\nvkR69beRPei/qiNvQgrFx4+2NWmt+WhhFAHV6z7vOcvAVRGBWtvmzU9Dg+UVOTvqfNcM0Xob\nO7D4dZ2tAl1SEdM1T/7lVTT4/Ww6psBhoiN5LzY7Z2kyDfHddDX4v07Qd3d3YUdHXlq8L5FY\nxhKrmangFGdCJGgPjLHF2eIOBJvLT6v9MtUNa3rhTVPPcFbUhnDmXmiBncM7rHeJ7dG8rS5b\nsxs8My5BeMvvGUnQhwNFX51zi20J3SVhGUasRnVgPZ90995V86ghOiKwsyawlEK6EFtbZm+s\nGI3URnoNYAOYZmIjT/osWwXxRQJVw2yehdDM6LT8Fcm9jpgK0g3PT5eO7lGFBr0sVNinscxO\nhoaNVNyIGgJvRJRqp43VRQleujjk0WLPdERH8KIsSdixKruhxoCeiIfrOHzndW67E94EdYie\nyzqnqSPCh8fbWAC3UdXgvxorv38kQR8OVJT7iMqSgtZhfcxktUa3ei01ZyTnFqw9inoMo1GQ\nb3HHLlNiBINcJUGrkRqc0l9iWI09H8bbyMsQRIUiKc0JyKqBoHXpYABofjpCBSgYg4rkHal/\nbNbgDu80stsFtgfzJE+td1HbksI6MoO2Of4k+GprrZeXl1S7NrKQQrMNBK1u6fCJ06SxJXWs\n5fq9Ozv7Bq8Kaqb2VycXaF4+mvVm/XV1Zzo7to7gDSXNvnNkFxwOgeY4Dg2pzwUVNjwSmdne\nHVujnuYdtQsW2SQqbUSPiJrDJtxqDB3NdcRm8fM6fOI8uVT809NTUHOtNRdT+wi8093ZIDu/\nuyDAbWYBjfOVYW3hC1tIXN4M/lYiuiK/UYzM3vav/BGUUrTB7vX1teLMDNOjPmK9O3yvlMOy\nvvu+i6ALrDUnT2I9/VfdHiyK3iLdL2+BL6F/4pZV2tnrODeslPLMq/Uqs3UUlFpZxmaYmhbs\nI35/yy2vkqAPiIrU7Ta7bklt0rBO0Dc3N8pVY5JekKU2z/0pV/XDlZ3LcCmQFMqckM3T+vgP\n3zpHv7y8lFn2SjxS5Eomuw51+cxeCk1StwRbQg9GuCInKOxeg1Eso9yrBxXwPG0k1lc4qcWS\neigey+FMp5+TDfV3WwKTN8S3cMriB7An932/vLxsY3WhzHE+uh2djd3IDlG3tDmQ2T3OWo0o\nUPec8PXZ3aG3pS81UvwSLNq1jdCUNtzWSdCWBH1AlDGt7iO6QEzHsefDo4ygK88W6aMesYTz\nGoBRZ9ftaZRvpluDXmAyMld1wrAnQVekBYsjbFRZ4p3Kp6xwN5kECSu/tYrQkQ7nhs2u1Y4Y\nBkm8PgfhiRDbvJe2LeqvjA1ttf4WxGm4xzqCLpygb29vlfhea1W0Q7ion6HAX9SGu8PZv46Q\nQT/ez+A9Scsa9u0VvEN0CfWhwarpJFx7UKTzad4A11851X3WHelGZE70VtAAdMycxMLifT67\n//7o+b0hCfpw0Au9ozax5n166fkecw6+o1o8l/jKiFGryDvoI5BAa4PUzobKCfZGqYQgmvSV\npKX4qyOH2O/l6upqR4CHhm5H0o1usMDDIHvjnK4pgktarpWd5SbDpJ4kEvpWn7st1A9XEmeH\niGXcxaEa2Wbmj4PMGPpN5ynnEtnZNul3KtPT6UTXgS1KVqfd5+Qmfeg+KG7qukpmh9jZsMej\nCJodwnukyvb/BnMifueb9p6RBH04FMxb23DmalRzdUVrgzZiAE6nkzblXOekF2N7Vo0KqcKw\nPBgUd8V6ep/nzmy2xqEIt2CuTZ24jUjeioguXoLDWP+VY4HBA26Q1HIbCjTwWkc1+rYUtg7z\ngEANBYKOdqsiSLnOqSt+xe/fv9/c3IjpTsgklBqldl47M/Q2LXQfEw7OeNzmMVCvooAJH4So\nsCAkpmHjbRVuLqX4GoCvfGpHHv3EUIpWT8pmnxLfFsmCNlzh+rbMIiCRBH04cAiJKPXHtm2+\naObV8TX396UbhUM9PT0xh7iOXVwbijm8dVH/RJxOua1Zqs2uTFs4hcfvc5mIMnwOikjjLoUF\nEwgbkdR1bHcipUzTwjk4SSH05EoWpIyVFPo5qVtR95VOWBJ0HWtf2kuXFpHqlcYv2KRgKvRf\nSs62BP8Jstyr1dQxFeu6NnYbsLGiy7QmG/v/+sY9a1o/RTpfp7Y4pg3BJA2b26p7Nc9bb+od\nIgn6cFjfyzJCGriDlKK4nNp8OKk++vPzMz3I9PTZXKpClwgOgTIvBBnc4h3zWZGXOE5M1OZq\nDH12nTNe+ObmptbqrgBn2z77XtQwDXudkx5Vmz0G9Hhy7bTP4nqVzHYuPky3aTObML5tVeI6\neWiDLGV4EAZ2s1nR8xmpwxsWeLdtO51OqotSEO6t3tAtcG4kFcxYxvBuuL1xcbChMJYupJbI\nEJ5dnQ7WYkd8C9X0+kTeJ5KgDwqN+YLCRi5htAOhqNMJWtvau3zuo8Aj444lqEkNklEb0oVt\nLmBPambsh5+WOsgwzxUltTmApA4vjZuZ6+tr/8oXqfwnfayROvRDDnJRcIG0DJI/qGwy43Yu\nk82gnQ3e6lV9C3X28JJh1Qx5+f12DO4dPQsdT+1ZZp944Fx2TmB22df10dC66EMnaF9pdGj6\nElAwT9KpNCc4IclI8yeb4wI5y9F5DO4pfvWekQR9UHBYXowt7zyN2IO3PCap984KCQpW9RGi\nuI4yRHSBN5bsTM4q8KgYxtIaJkXCqnPVHi2p6WDeUcXapjwDWn3SShp7oyAqWZSkjjLIWzKv\nmFGZb6JyTg4olnmqPjtM2KS3SERyuwHyzPgffZRa5hyFpmI1CdtAHXnSurt9qRUVDKfMVVnC\nqNVLOr+egj8IgydEDQsX4mNVM3aEePc5RoU9HLrOZkOSSII+KDSWqHQuxtaC0lDSzlp5l+uZ\ns0VOvTtWhzjqOgKkbNlZuWMhUZwrh0lg+TIq0xtCrwLL2CyxJcG0mOnXDStvNut6qWkqwQJX\npjdSEYR9uOPFQWX4Q+n6UEetKi/oXB6w9ucKnocUqb9/49LbnAK+jZKtkuQrvzdsyRjerrfe\nOj0CB6lf7qYO77z6JAhkBZmoGeEq7EybFUn46j0jCfqg0Du6koIGZGvN2Vm1H0NQlIa0TlVn\nHx9VnkYdL0SioRgko/XhSxFxtFF1j+NtQ7y2k8tpbFtnZs4FbZSaVD/wLmxhlkBtZKIyz+t1\ng3U4FrwlZaSu9Vl1hqdgc5aQfxJu096gHpsZeUMIYDg4PKa+TCMCobOFHaGEEuya1tg8GzDw\neMHWMLI0MnK00HoBbJbAwfw3LP2tD0UnD19VIAlaSII+Isos4nywmZm7MqSs28jEVWmxhs1A\nN1QcLXOpBLGz5t0cmR3RtXRldPhkKdMM0nUbIcOneVOYWquCT3xhs7X28vLy8PDg9+UfijLE\n0ax42eFmcVNUEaVX5yKo0nc2U5sWu1xBs5+lBNU/fCKrSSvDyRD6fEO9If18GxVFQpMMYpwz\nkrdYXkfysDqStkmjp5GCRBLX2XQ53UWbI0zUQopoUvzZN/atxttivcqYI67PKNlZSII+NDqc\nD/rQhbOrG+7TKvkpJStvAGnUIJBPI3Wwz1FfkmB+2o6orzDIOWjXIW1j4Dknes0Q7W/tm8+6\njpayrnBo2uwHP42iSypGqj0PFW5Io9IQsiLdqhQ4OaD72LuADMLJQaAVfbWjlFUZU4SLUYM7\n9IB/21GGWyc00CUvwQPCg5MtEV2uZ/PD2m9m1ugJip3Xp2lv2IyOmYSu29+YxKzuiyCik5TP\nIgn6oCjIfNOy+D5yuH0fE3FWYGcGS9k5GpUa9QXG06gpIWc3uZs0Z+ciiM+CU+ZaKwu8baPK\nsBep+P79u+K3xJ6uN20W9fK2ewl8sbkrU7dYgSnKCBFT5zg1b3MCG6VfeAqyFuo3Q4SZjar/\n3gxpZIYx6FtNHc72mM1ZHoHl9UrsCPcODaaLwD8JxlWGigcY4hHZGHWLwdHE7g1Gxb9aWV6X\nXnv47N+hDe8cSdCHQ58lqrLFDDFnvqpmg0n3czUotpHPJrpsWE9vKNYhNtHw4zJgQ/As5U89\nl5JHt8mO7YsUwS1Xhq7iux+9vr7K80D/g5+z1rrvuzLcvPAQy48450po28zR6oo6AjzEdOrw\nVVrqKYSvdJv+ufhUPiWbS9z1oa89MpJn0HICW0L+7cvcRd/u83aCmihwGVY/KfPWBLzHYE0D\naJ8KfG66BfZeQfJ9WzzatBzhPRfaHD70r42Y3zOSoI+IDl9EGwviNqeKeHyrZqa2rP5LjnFZ\nTyff59BgG75Iw4jlaLHFqyt55WgoA6+wtj7WDxXv7Pt8N2Rsy/vpBuPDhw/ukvYdV0nQXlnN\nU9i9Dac5K91mxd0RBCblqMHfEYGw9j/5PdzjWbtVETgoFpP9Uz+EvjLkPdu52YkhPI7N0POq\nqPlJwxxOQq7nDQptWT9kJ+itkH4PSxSyEHq4p3Mlusq5AJXwdvkf27xxz7tFEvTh0OZ1GNGl\nYaxWrM7b4qaU81H/XZf7An1Qa/OKK3+pYXSAypD4IFRGhpSjsh9d8+7YRkR/iNzpWuFw5QTC\nRkD0Oj3njRh2BQtiX10n2MxNNgvDDuXIB0H2IUNpCxsVS9oQna1sybMWwqBw1dVBFHeI7jKv\nDfAwmy237ArZVk+QP6QdcrWuh6KXR58w2IavXB9OfL20Onlf7J8Nd3bDEsI7RxL04aBRoU84\neFxL7vuu0S6tIW3IohYaimT5hgDkBo+nRu9bg8fm+X6Zd3uRt2Qf5TJKKV7DwYM3FGDnPw8O\nWYr9Bg8vy0qIDVce0an4iX5IbRvm5uGEjkDcPKdBlV/Mm7x4G3zlVmXhfElTt6NOC1P+ANoJ\ng7guyLUzMJpjH7ul6OQyMIYZWJtrTvG07FXNuvQClJEbpdWLhlJcjHCXGbO5rCAR7ApJuS1F\nWd8nkqAPh8AsHMbiF5JLxdqdH3Aau5R2TF2DVgpFIZToofOIRyhn9DkHvw1JrgEst4niJbgu\nR04sWLGUwfDP5XYX3Xjyse+mqC4iKQd2JplWpK7sI4q8n/NylBkGxaefXIw9TxlA4rqy966S\nVb5H1PPzcxtLmh1lnflM+7we6J/sKNpX5xXasqxY7qgzRd80jWgfpbqpcPUW8T2hCbdBl1r2\n0PZpehBap62IuS7z3o+6BN/nYGtpQpKgLQn6gBBBc4CRf22OO2YsnVQPya5DDmvkM+24wPEX\nyLfNq/yaxa8ssyO6oCHfhOqS/m46TF19a0NbnrkiuHgbKTDiC5F+sEYk6A5HRx0bS+veDROF\nDg87pbpkqb6i1akjpbP37nEpz8/P9/f39/f32sTPzJy/wsptuFk1w6DZKYHVvPUnbnTFzsI2\ntls0SGC9JzJ+7PnA0d4DXFz9PuBn2OYqAobJVpj6tGVbel2Xkyfd/r88aH63SII+HDpmtRxp\nNu9baiALDXuR8j5v21ywykRxpCEq6RQYX6KMVK6rU/t0LPd1KHGZBO5l5+ym0mittdfXVw3m\n3rvKj3hQhwfnaVFxH3Esv8HR5L7VHjR4YANTsNvL2J6Gp1KaOLudK37Pz8/fvn379u2by+fv\n3787yYYlxGA7+QLQxkj//vY70+C/kuU2yO19hJ3o/DZPF9ari8TZEn0eDEwHGvxm6jddJcwV\n6BaTz4Tv+XtGEvRx4S80CdrgVQjHlFEIX/N3yR+bN+FuswOapGaz6vFLBLIwjHmbKViwOV1b\nc3+xs9OlF+fz3UKdoMsoXOlheWam8qoXFxd+O742Rcqrb4Qw93NivMJJ2mYPOHuAvE++kCy9\nwG5PWi7zjvUMSbGzr7CJ8tilfKBlcXF0+HDZhvC8dAb9RMzIr2ymPP2QcwV2FwmX/2Vn6gy0\n62c7P9A3/95H4W/lTJ1tz/tEEvTRwRFYF390GMnC+lUYxlQ6Nq+e22wGOKg4Ry7LLJWsUedY\nbOXabMjhvrm5+fjx49XVVe/95eXFj/cklA8fPtze3prZ3d2dl1fdtk2bElxcXEgPBmlGi8Vb\n0L86gDfVZ4eDOEv9s1JbH54iRWv4PYZ0x5UoOQ1iY9ZHL28SOVTk3ueVTN1sWcBHY7NRD8eI\nOvUE6doqYzrlIZ51pNLUObyvYUE7nJkeKtlIfzGCz2TLDQnNLAn6mAh6h0OI462NbAUbg3lf\nws5sSZMrswBflU7478odIujwOQnFY5/Dfq9+Ns+189Kpnz59urm5MbOXlxdfUXSCvri4cIL+\n+PHj3d2dF4yutXpWy1nSqch520aVHxKEuIBCzzAT5wlpw8jdHd7ePgI2VKlK7hf6cygwHX2O\n0lsvTfrTb3kj7P+zBC1OD7cTvmX/yGtRxkTn8vKyLOUP/erk7jLvJlxHcI7NkzZDiLSu1UYS\nVkhbPWux3iGSoA8KStqzpCnGKVic2ZeQZ5slVRBuPGBVnUE2GtYGQ5M05vuo56nYZ+U3U056\n/MPt7e2nT5/u7u5KKZ6c8uHDh6enJx//TtwfP368vb319JY+1qOkQ+kokOzStyKXDif4hm39\n1CcrEYu5Vq3XsaWer216LRS5a/twhsiWKN5DbuhgY9q8IMYnFfzsbOdZ3876qgRpLONU57jD\nfQmOLKV43LqBaknl6/tjc2xGQVqQwdFMgt5RxqAhf/Ktm3pXSII+Ilb5JonXsFaj0UKCpohe\nz9lm92WdY0W2c/UWDPqUYi3QtzzIPraVmeKpz6oZosN89c+9HBcXF9+/f3eCvr6+9pgBzyS8\nvb11B/S+755AqFHde78Ym237CQuyukUN/hNRj0AVyXN2uA76HPFCjdlHeRBl5fTZFeCN2UdB\nJQai9XMpKuztDu9zeCKkWv3QFpMph5J6QOeXGOeN63VyK+hm1btXZxCJ87pkfHWaqN+P5BnW\nDSRla8Nr+T8aOr83JEEfFBp1FGWkab3cpEsOs6DOJBVDaAddnJxx2zxmKDw74K0tmBT7NoO3\nt7eufJ2kXl5eNEeuCL1yRr66umqtOUHf3Nz4GqB2+XLmpeBifK6hGJPzEYe3qvFpyVTsRoPU\nAPaMDXKX44L2jwbSll3+3KjIqbLNte72UaRUT5xP+Sx3800oi++CbFixJrlOevzgithHGh6X\nz7IoDV5jiQA1rMx+Ff+bV+R7u8+g5eBJuPD7Lw6W3zGSoA8HqtSgktq8lPevnIGM3GdJLiHJ\nFZ6zCprfGpIINKptOH+vrq7u7u4+ffrkrgmfJvtuthKkBcuGzhTOrU7Qz8/PzqTur/Dhuo8y\nfsowpvN9G9nkrvjUSG8/9S9zc2iZGkLKDI5snUp5NORog4rcsH2XdwiZqKAY6TbSPYL3WVcP\nnEsb3BYnjEGfNuSvqzHbXJqDpq4PF7DkvwJs2Cda4G1YMiWh88WzmazVYIoG3p1uR2Z7m5MS\n3zmSoA+HimgwM9uRJWHnFEcgdPJOgYO1L25WKtlVs4RBuIZkSFuZmcorX15eumf5xx9/vLu7\nu7y87L2/vr6WUvYR4dCxtuZ07HrZT3J1dSVGUDOUWyxvr2EwaysAV3y6loR2H5NrZScbpgU2\nFwUsiHR2J3JHiHdId2TvBVp3Ba2D9a1CIPR09BQ42Q//vvXobZ5m8eG21rZt68g/Wu09Xwk9\naEUQVqxMhmupB0ijapXurozZiYG+68hY6Zgr6IdKAiqpoJOgD4gN1ScM6tXmWaqdI+g6lukc\nQfIE+WxDTzVsGRc4vcMb4GNmH5WYtOzmP1Tt/Ovr67u7u48fP378+NGXmHwTW9Fra+319fXx\n8VHZHK61nRMvLy/JrXLyqhK0No5hjWlFjDiThorYbVQvYu3sOoojUyDbKOpP/lUfUuH6h6Jm\nGsWVCldiZVXSPjwkYaKj1TNKTlvYmf/qGPpq9AcbprdFVqqOpCd90mb/9Vnx2xeHjPpNB6sZ\n2xwdH15FGTllaf4Lw+V3jiTow6GMmab/d3VW9nP+jbNiRAREvtC44oxYQ7QsUQ0F82UbavSE\njQLqCFeQq8F90J6E4oypSklO7l6t4uvXr87jNzc37uUQQej2XS+73GbhIXensEiehvQGlCH5\nGa3c51UsiWstPNpYdRRN9yGB6dUVO4vO/JzsK3b7Pio4b2Nbcb+EXyW4ZcOKXKAzNb7MewOS\nxGkzwrxKT7kOb7XNU7c+167a344LWt9eGoNg+/WVN2afi41IB6SLQ0iCPhz8TXWaMLMTNvez\nRc4YZqD8XJqlngulCqv2OmAN57KZZShFVUVTrgmtDd7c3HiAHf3IYl5vyePj4/39/ZcvXzxO\nww8uw5ci49HGtl6+Z7kXuyilaAcA/63y3SnESNBO8R5kXcZEviBOQwraxg626kbaLXG6zfEG\nnMjzJ1wQ0wEFPmtfC63Dzx662tPEPQ8zPPQ+a3Mp5QJHMLt9QyB2gY9YsEH3wePPuAsafl7o\nLF/LhFQsbDhl+1tdETEd5iI1FwnNLAn6mPBBZSPyly9rIOiGjD6biTW86B1lblz8ShY5tMJW\n5oL3Zd5UVOwsory5ufnhhx9++umnz58///TTTz/88MPd3Z1XzyiLm7WOAheeD/3rr786m7uH\nxMw8OUJX31E7janAihhZ2bmOCARpajcq3CvLw8jIreq34Jat85KAf7ij0JKMH33TPDnXCUn6\n2xyRvc0l6v15KQNej5vUHMgx+JqDmA0MKIXbEMih1mpFVD533Zruop1bsTQoBps5Wt96A9z2\nsCfr4oRJJEEfDiKFMqIj/IXWAX12KJ91FNpgec4W5Qj2kaDqcVyR2+baQwY1Z2YuRV3Q1Vov\nLy/v7u5+/PHHz58///zzz3/4wx8+f/6s5cFSigLU1kn0PooKffnyxcOlfczf3t66qdjnoiJi\nChtu4rCHoXjH/QbeZm2Cru3P+3BiqEtppUL3Ut9djD0SpXb5CBTgsWN7FLJqKcWFuewH+ajP\nHqc6Qt1l5HQ5dYt+qxuvo84JzXn4myZHelmdsGPDBLIzFYDfiO6dXadbsCUCT+9wX0pt9Nlz\nwk8SSdBHBImMDEvqpOgzBF2IUHz67KtnPs6doJUuUWuVm6Isnk0ObF3LR6xz3OXl5cePH3/+\n+ec//vGPf/zjH52dPXXbmcgJi9seusFwx7R/5Z5otdA54vr62knQ3hirQSZfjE1mXS8rpKT3\n/vLyolRGd5W01jywuo6MPnKNwSR4Wnkdq1tOTCJo+YvE0TuqJgWracOouP0QZRf4ZHV3Yk9N\nj3Yk4NEkN/ig2hKaEr4twyMcZG85N8ESQdNNHAR7RbQ1zZtjPViTQr2f6n/dO9+6/9nY+Z0h\nCfqIKEhc5op2HesqlHgF83SNDRvLXO4HcL3WWnt9fdVCnBMcY9roFSmz11UXLaV4WNvHjx//\n8Ic//OUvf/nrX//65z//+eeff/7hhx/ErV7IzTlRy4llRLApZ8TDOX799VcGD5iZ53YbQgsq\nFrg4YVfsh+p+mNm+7y7hX19fv337Jm+4s2ofs2yDj4K36ZaswEfBvcZ9qfA09hPgr6ij2Xui\n4G3bRHz7vm+jWLP3bZ2XH+uIsuDyqSGWmXADvI1UHYPNtiXsh3ZdloYe57PyWbZE5s3mjEQD\nwwanUHip6ORRawPFJ0dbEvQxQcUhnWhjFz4O6fBa+ycc5yLiDSGx+tC10mnZ35MjvCGJw62F\n2Pmvf/3r3//+97///e9/+tOfPn/+fHNzU2s9nU6+8bbTnDsW/EI2CFcpau6Mfnx85Jbecivr\n9oOjWf3j7OzhHB40IleJe29Pp9PDw4PXw9Mu4DZC68QOYRa/jx1dNWnwSL4ywuMkbDnzEKSv\nqT2dmrdtcy+T4l44LxGNkptWEer/pW3o5zar5OthCKncR2S9ZkWkZpJy0LMS4HTOhLlCnUMv\ngo4On9PX0eCv49TwnSMJ+rgoI9jAachG7oNGJtWTzYpJr7t43JB0Z2PGTTXX5/UrG1nOnO16\nG+7u7j5//vyXv/zl3/7t3/7t3/7tb38oNuyDAAAN5klEQVT7288//+wlNTw84+npScz78PCg\n5EA2Q2tip1Gf0wOiVaXTh/oHwDm6jU1DvGcYPeI87mPeJfD379+/ffv2448/3t/fexkmFWOy\nOXnP5moSOzYHkOhWcIjNNZrJg+GEepR9ZNxoDWDfd/cF6ZlWRKSR60VYZV5J0xMPfqqKdUWe\nrY/lO4UGtVHvSdX49IzUISR6Wgs1lTdOW6LXqcCzzHlefaNkh27tf20s/Z9FEvThIKeegaNd\nuLlzwOZFc1vyuwIPatYvXbyN6DcvgrHPdSblbWhLtbZa6/X19Y8//vinP/3pb3/7m7Pzn/70\np0+fPl1eXkqOPT09OTWrbv0+agZxcGqarB8qVEOuGzox/I8+hPwFauax9EcdSXSttZeXlx9/\n/NHTYbxU08PDgwp09GVpzkBzMnJ9rOzJu712vv7rDMVlA4lEN3i+UOl9615pPjKd0w0Y+yQE\nPPS54PI+CmTb8JjzvvSvYWLUkWAZqn1WrFLSxoc5VngVde9husN75NlstmEGa8dj3jOSoA+H\nhrAneloNBG1z8X6bOdqwfK9BuI6ZEMBncyUEGyFuz8/PFxcXHvIh+fznP//5L3/5yx//+MfP\nnz/f3d25dn55ebm/v/91gJvy9RGhJUVW4JalbtVqGMlCG1/Jz3AFKF1FwXP+29Pp5Hnnnz9/\n9vZfXl66lJZn/DTX1N+WSPD2Rg2QwMvqQFk4Nd4wFxH8hJL8BgvhBztFuuJmio1YWFxJR7O8\nLvJ1SNLqudsSs+GQKQpUHuiSN8XXjLevpCS+nGRe9p4avx72/ziUfgdIgj4cxAjOlTaCHwwE\n3eaabWRnRU2J6H1h8GLUwZEYZAiEZJGO9Inwy8uLRJkTnPPdzz//7BF1vteJH+mJJ7/88ssv\nv/zy9etXd244D/axXk8RrdAIH882V1iWV8f/vbq6ur29defytm13d3ee4SJq5iaBNoyNBwL+\n9NNPTqzuD3HL8e3btw73gg06YzxJQaicLIeop5wDOZGmziPHFdkiz5JztBwOZubOcb0JIS2o\nIgSzwJlAvmvIOjG4HWQIV8Mjq6mD1SdhflARn7cvkTZlrG8rkEZTNGrnPu/nbTAGxP/uyPq/\niCTow0FqS2rIX3obK2Z9pGNx8khG9vO0Efgl/hU7K7pDJOLsJr52OnZ1doH6DM6SHz9+/PTp\n06dPn25vb709zs5OzV++fPn69au7FDTmtfjjbRMP1pFycjEK9KjshlOze8wvLi6cnS8uLvyO\nvJC0F/Egx5ERnP09j6b3rrAWF62nUbnJD6bmpfFTy+WP5sxG4MTfr0XDcxp1RfxvTXSCuyBQ\nFT0/WgNwn4NcKHKkUMx2pIqU2Ykc7A0nK2V2Gas98pDwW7Vf/22oKKCXjdelJy3crI2C/auy\nfudIgj4cRDE7qnDUERN9gRrqdY61CCKFQ1RwNnF2NgQm6ytxsQ8VUZI0r6ptKItPrPr4+Oge\nZ+cjl73egBO2r6XGlFVwOtbS4gVq5bjr+e7uzjdhcbt1dXXlu7Gojoe0IdssPzsv7TL86enJ\n7dBpZNPsiI2r8CDbzPuyOnoW7HnRqBY21QMbIpT9v5KWZRTVs1FajxaXwRWkMHYmnQNtpLHU\neXstGct9DqymxK5LBEhBhWjRrjeswD9mb0fI8RUVQfMdM+yo8r88nP6PI8uRJBKJxEGRCvqI\noBSqCC2Q5GxjPYeOPGqo9YSGdbATtp7zWT91tw03i0oUeRiGyvroV5rCG5aMXDi7dGUcNIPV\n6jmYmQc5MJptG3to3dzcaJpsZl4DRJXwXOJJb0oL11qV82LDx/38/MzqH/vYTIt+Ya4WlmXL\nldU1IdlYkV0ivVmWZTqboymoJb/Pm0J1uIZtUal6PVY/r+YoDZ7fOvaHVPigoZyA5DOnC9so\nYlUQe0ORrg9tnv+FzlHv9eGA5gPdUTCv1hSO/z+SoA+HMK22uViBz8rbuTVuDQONan6u43eU\npffQCE2otTx1GtWF3Gvh/FVG8rEiPeSacMq+vr72ULabmxs/oU7iiYVkLjoi23C5+jGG2hdO\nze5KVoyzmbmz5ebmRi4Ov7uGtJrVbfr6+qpFRS6H9jniuA3PO31EK/Ft2KNWPXzC5ocd3uSG\nUnbBz9tGHvZpFDwJEW8FBUD4ZG1J1w6Oizr2FdRLJXoVldPRVObNbhS9Xs7lLqordAk9zX1s\nMGbndpovy8KJISa9YMEzkQR9OJRzIattXl4LgiVIZo6f9XMRnDLHJDzb8KIqc0Q+ZSl3nl9k\n6gkjvj+3S10/jzuULy8vn56enOVFix1hXuLH3juTws3MY5yd2X1TKxGNK2suMDYs5YWevBj5\nPpcD/turqys5zdVsb1Ibi4GroCPfKWhB9aO5TutQ7cAy1nttrgRrw/Vsg6BtrjfdsZFN4Gi1\nnCuKeso+7+GkRA0zMCyTMPWURawFkd16dnpMsiX64Y5tgCjG+QZ25AEZlhn1yMI9vk8kQR8O\nFSvgQX81VK30g4PO8g8pQIKUk4TZZ7h2LqMQqNjZibX3fnl56Szj9OGRcJ4UZyNuwZ0JshYn\nFJOrtSqE+WLszOKli/pIx3ALUWvVGqOZKY2bVZ/ClF+9JManPatY7vOO0tTBExf3fd+2zcPg\nOtwR7MBwOVEwHQUVqdgNUKfZsCsi9zKXclWwxz5K+7vxqyNgPKwWStTrEuxJGQP/oSiVFKlb\n0yukl4cvnt4Q6V91gjuR/L7YNk0C+kjL5JnfUtAFiTbp6LAk6ANCr6be8gaHBufIeqH3kUUW\nOHrVIBQ1cteKPpwrnZ1DEmAp5TS2nnp4ePj69avHgbjL2FWnRmwZLgVNz+XHdMHbe395ebFB\n4toqRaKME15HGw4KBXSr0hNLQbFWtXfdNlLyFKnmrOcu7NbaxcXF09MTw4F5aXoAJB690AfJ\n9zTXM+nzZJ9uJR5gI6LDRlqQDSdJH85fiu6+hEPoBTjNaIgMobWQbCdNBy6WtyfQaBnhklL9\nhimdHyCL1eGgC/pA9xLER4eLgy/ze0YS9EHBCaAGQ8UKG6eQb73KfZ4L63hDGSDXwpqrKlFb\n8tkF5rZtvmZ4f39/fX3tpPz4+OiuYUOGuobW6XTyU/l5xLNtlIt7enr69u3b/f29iiv1MZv2\n9BYzc0n4/Px8f3/vS4I+GWeNJJG+VKTYUHMRNy0q9OFO7dPpVGt117nmB3RG25K+bGMRryPv\nUQezn/W39LXonucXc+2okNeGrykcSZPQ4OsIlmAlwSBXG0LF9xEt51+d5rTJjnXFDvdxx6SB\nlkymkezPJv32C19Q/fVfGSa/eyRBHw7//u//ThcHx+FK0NLCTE4LP7GlxIEPJ1WLlhu3L0WB\n95GXIbeAc6LDYyHCip9Mwr7vnz59+o5tUFz2utpygvYoESdHtVmj3cy8edraSiWT3KHMZboy\nwnXXLV/7WDD0xMLPnz8rv1mKT5zYsMxI2qWma3Peim68nsseassKQZCoekCa7Nucdq+7CCYk\nnFYU3DHfUtao6oDbXDquIvzZZgXNOQEdDjo/fWvqPf0wGKr1E9oM3VEpxZcK/uM//uNfHTO/\nX+SCaSKRSBwU6YZPJBKJgyIJOpFIJA6KJOhEIpE4KJKgE4lE4qBIgk4kEomDIgk6kUgkDook\n6EQikTgokqATiUTioEiCTiQSiYMiCTqRSCQOiiToRCKROCiSoBOJROKgSIJOJBKJgyIJOpFI\nJA6KJOhEIpE4KJKgE4lE4qBIgk4kEomDIgk6kUgkDook6EQikTgokqATiUTioEiCTiQSiYMi\nCTqRSCQOiiToRCKROCiSoBOJROKgSIJOJBKJgyIJOpFIJA6KJOhEIpE4KJKgE4lE4qBIgk4k\nEomDIgk6kUgkDook6EQikTgokqATiUTioEiCTiQSiYMiCTqRSCQOiiToRCKROCiSoBOJROKg\nSIJOJBKJgyIJOpFIJA6KJOhEIpE4KJKgE4lE4qBIgk4kEomDIgk6kUgkDook6EQikTgokqAT\niUTioEiCTiQSiYMiCTqRSCQOiiToRCKROCiSoBOJROKgSIJOJBKJgyIJOpFIJA6KJOhEIpE4\nKJKgE4lE4qBIgk4kEomDIgk6kUgkDook6EQikTgokqATiUTioEiCTiQSiYMiCTqRSCQOiiTo\nRCKROCiSoBOJROKgSIJOJBKJgyIJOpFIJA6KJOhEIpE4KJKgE4lE4qBIgk4kEomDIgk6kUgk\nDook6EQikTgokqATiUTioEiCTiQSiYMiCTqRSCQOiiToRCKROCiSoBOJROKgSIJOJBKJgyIJ\nOpFIJA6KJOhEIpE4KJKgE4lE4qBIgk4kEomDIgk6kUgkDook6EQikTgokqATiUTioEiCTiQS\niYMiCTqRSCQOiiToRCKROCiSoBOJROKgSIJOJBKJgyIJOpFIJA6KJOhEIpE4KJKgE4lE4qBI\ngk4kEomDIgk6kUgkDook6EQikTgokqATiUTioEiCTiQSiYMiCTqRSCQOiiToRCKROCiSoBOJ\nROKgSIJOJBKJgyIJOpFIJA6KJOhEIpE4KJKgE4lE4qBIgk4kEomDIgk6kUgkDook6EQikTgo\nkqATiUTioEiCTiQSiYMiCTqRSCQOiiToRCKROCiSoBOJROKgSIJOJBKJgyIJOpFIJA6KJOhE\nIpE4KJKgE4lE4qBIgk4kEomDIgk6kUgkDook6EQikTgokqATiUTioEiCTiQSiYMiCTqRSCQO\niiToRCKROCiSoBOJROKgSIJOJBKJg+L/A+ZB2vrgfJLZAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title “Sobolev deconvolution, SNR = 19.34 dB”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/inverse_2_deconvolution_variation/exo2.R\")" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display optimal result." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Deconvolution by Total Variation Regularization" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Sobolev regularization perform a denoising but also tends to blur the\n", "edges, thus producing a poor results on cartoon images.\n", "\n", "\n", "The TV prior is able to better reconstruct sharp edges. It reads:\n", " $$J(f) = \\sum_x \\| \\nabla f(x)\\|$$\n", "\n", "\n", "\n", "With respect to the Sobolev energy, it simply corresponding to measuring\n", "the L1 norm instead of the L2 norm, thus dropping the square in the\n", "functional.\n", "\n", "\n", "Unfortunately, the TV functional $J(f)$ is not a smooth function of the image\n", "$f$. It thus requires the use of advanced convex optimization method to\n", "be minimized for regularization.\n", "\n", "\n", "An alternative is to replace the absolute value by a smooth absolute value.\n", "The smoothed TV norm reads:\n", " $$J(f) = \\sum_x \\sqrt{\\|\\nabla f(x)\\|^2+\\varepsilon^2}$$\n", "\n", "\n", "\n", "Regularization parameter for the TV norm:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "epsilon = 0.4*1e-2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "When $\\epsilon$ gets close to zero, the smoothed energy becomes closer to\n", "the original total variation, but the optimization becomes more\n", "difficult. When |epsilon| becomes large, the smoothed energy becomes\n", "closer to the Sobolev energy, thus blurring the edges.\n", "\n", "\n", "Unfortunately, this prior is non-quadratic, and cannot be expressed over\n", "the Fourier domain. One thus need to use an iterative scheme such as a\n", "gradient descent to approximate the solution.\n", "\n", "\n", "An iteration of the gradient descent reads:\n", " $$f^{(k+1)} = f^{(k)} - \\tau \\left( h \\star (h \\star f^{(k)} - y) + \\lambda \\text{Grad} J(f^{(k)}) \\right)$$\n", "\n", "\n", "\n", "Regularization parameter." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Lambda = 0.06" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The value of $\\tau$, the step size, should be smaller than twice the\n", "Lipschitz constant of the Gradient of the functional to be minimized,\n", "hence:\n", "$$ \\tau< \\frac{2}{1 + \\lambda 8/\\varepsilon }.$$" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "tau = 1.9 / (1 + Lambda * 8 / epsilon)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialization." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fTV = y" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of iteration (quite a large number is required)." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "niter = 300" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We first check that the discretized grad and -div are adjoint one of each other." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] \"Should be 0: 0\"\n" ] } ], "source": [ "#importing grad and div\n", "grad = grad_3\n", "div = div_2\n", "\n", "a = randn(n,n)\n", "b = array(0, dim=c(n,n,2))\n", "b[,,1] = randn(n, n)\n", "b[,,2] = randn(n, n)\n", "dotp = function(x,y){sum(x * y)}\n", "print(paste(\"Should be 0: \", dotp(grad(a),b) + dotp(a,div(b))))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The gradient of the smoothed TV energy is:\n", " $$\\text{Grad} J(f) = -\\text{div}\\left( \\frac{\\nabla f}{ \\sqrt{\\|\\nabla f\\|^2+\\varepsilon^2} } \\right)$$\n", "\n", "\n", "\n", "Compute the gradient of the smoothed TV functional." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Gr = grad(fTV)\n", "d = sqrt(epsilon**2 + (Gr**2)[,,1] + (Gr**2)[,,2])\n", "G = -div(Gr / array(rep(d, 2), dim=c(dim(d),2)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the TV norm, usefull to keep track of its decay through\n", "iterations." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] \"Smoothed TV norm of the image: 2493.94\"\n" ] } ], "source": [ "tv = sum(d)\n", "print(paste('Smoothed TV norm of the image: ', round(tv,2)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform a step of gradient descent for the inversion." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "e = Phi(fTV, h) - y\n", "fTV = fTV - tau * (Phi(e, h) + Lambda * G)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 3:** Perform the deblurring by a gradient descent.\n", "Keep track of the function being minimized." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nBBoAFEWgAUBRBBoAFPX/2M/8OO9mveUAAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAABmJLR0QA/wD/AP+gvaeTAAAg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", "text/plain": [ "Plot with title “”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source(\"nt_solutions/inverse_2_deconvolution_variation/exo3.R\")" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Exercise 4" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Explore the different values of |lambda| to find the optimal solution.\n", "Display the SNR as a function of |lambda|." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "source(\"nt_solutions/inverse_2_deconvolution_variation/exo4.R\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 0 }