{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Wavelet Denoising" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour uses wavelets to perform non-linear\n", "image denoising.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING: pylab import has clobbered these variables: ['pylab']\n", "%matplotlib prevents importing * from pylab and numpy\n" ] } ], "source": [ "from __future__ import division\n", "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "%load_ext autoreload\n", "%autoreload 2\n", "%pylab inline\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Image Denoising" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We consider a simple generative model of noisy images $F = f_0+W$\n", "where $f_0 \\in \\RR^N$ is a deterministic image of $N$ pixels, and\n", "$W$ is a Gaussian white noise distributed according to $\\Nn(0,\\si^2\n", "\\text{Id}_N)$, where $\\si^2$ is the variance of noise.\n", "\n", "The goal of denoising is to define an estimator $\\tilde F$ of\n", "$f_0$ that depends only on $F$, i.e. $\\tilde F = \\phi(F)$\n", "where $\\phi : \\RR^N \\rightarrow \\RR^N$ is a potentially non-linear\n", "mapping.\n", "\n", "Note that while $f_0$ is a deterministic image, both $F$ and $\\tilde F$\n", "are random variables (hence the capital letters). \n", "\n", "The goal of denoising is to reduce as much as possible the denoising\n", "error given some prior knowledge on the (unknown) image $f_0$.\n", "A mathematical way to measure this error is to bound the \n", "quadratic risk $\\EE_w(\\norm{\\tilde F - f_0}^2)$, where the expectation is computed\n", "with respect to the distribution of the noise $W$.\n", "\n", "Image loading and adding Gaussian Noise\n", "For real life applications, one does not have access to the underlying\n", "image $f_0$. In this tour, we however assume that $f_0$ is known, and\n", "$f = f_0 + w\\in \\RR^N$ is generated using a single realization of the noise $w$\n", "that is drawn from $W$. We define the estimated deterministic image as \n", "$\\tilde f = \\phi(f)$ which is a realization of the random vector\n", "$\\tilde F$.\n", "\n", "\n", "First we load an image $f_0 \\in \\RR^N$ where $N=n \\times n$ is the number of pixels, and then display it." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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rSZxK7w9A0m/VahW5XE7IKcbCFL70+30UCgWBVcFgUCoRAciCU7XzLpdLavrJ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DyumZkZ02j33XefhoaGdP78edMCni+Pa+BDUGi8vb29ujRtLJT5+fk69wLQE1fEJ/DwvAgMr2l5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\niqIoiqIoiqIoiqIoiqL8z/kLQEY6p6DIqucAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 256\n", "name = 'nt_toolbox/data/flowers.png'\n", "f0 = load_image(name, n)\n", "imageplot(f0, 'Original image')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Standard deviation $\\si$ of the noise." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "sigma = .08" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Then we add Gaussian noise $w$ to obtain $f=f_0+w$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "f = f0 + sigma*random.standard_normal(f0.shape)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the noisy image. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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UKhWZTAabzUY8HsdutwvFs7+/TywWo1gsEo/HmZmZwWazsbu7i0wmo1gs0tfXx40bN7h8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\njRs3ALzxLvT19UkY7ODgoKQdEbrKO+GTJ0/Q29uLo6MjmWgz4sz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h2bNnEqzM\niPm6ujrBCfJ7cblcMBgMYtwiT9PhcMjshFfH58+f/z81h3KVq1zlKle5ylWucpWrXOUqV7nKVa5y\nlatc5SpXucpVrnKVq1zlKle5ylWucpWrXOUqV7nKVa5ylatc5SpXucpVrnKVq1zlKle5ylWucpWr\nXOUqV7nKVa5ylatc5SpXucpVrnKVq1zlKle5ylWucpWrXOUq1/+n9X8APPa6MlclKd0AAAAASUVO\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(f), 'Noisy, SNR=' + str(snr(f0,f)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Hard Thresholding in Wavelet Bases" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "A simple but efficient non-linear denoising estimator is obtained by\n", "thresholding the coefficients of $f$ in a well chosen orthogonal basis\n", "$\\Bb = \\{\\psi_m\\}_m$ of $\\RR^N$.\n", "\n", "In the following, we will focuss on a wavelet basis, which is efficient\n", "to denoise piecewise regular images.\n", "\n", "The hard thresholding operator with threshold $T \\geq 0$ applied to\n", "some image $f$ is defined as\n", "$$S_T^0(f) = \\sum_{\\abs{\\dotp{f}{\\psi_m}}>T} \\dotp{f}{\\psi_m} \\psi_m\n", " = \\sum_m s_T^0(\\dotp{f}{\\psi_m}) \\psi_m$$\n", "where the hard thresholding operator is\n", "$$\n", " s_T^0(\\alpha) = \\choice{\n", " \\alpha \\qifq \\abs{\\al}>T, \\\\\n", " 0 \\quad\\text{otherwise}.\n", " }\n", "$$\n", "\n", "\n", "The denoising estimator is then defined as\n", "$$\\tilde f = S_T^0(f).$$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the function $s_T^0(\\al)$ for $T=1$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def thresh_hard(u,t):return u*(abs(u)>t)\n", "alpha = linspace(-3,3,1000)\n", "plot(alpha, thresh_hard(alpha,1))\n", "axis('equal');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Parameters for the orthogonal wavelet transform." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "h = [0, .482962913145, .836516303738, .224143868042, -.129409522551]\n", "h = h/norm(h)\n", "Jmin = 2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "First we compute the wavelet coefficients $a$ \n", "of the noisy image $f$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "a = perform_wavortho_transf(f,Jmin,+1,h)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the noisy coefficients." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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YLGK1WsnlcqRSKYxGI+vr61SrVSKRiLw/Op2OwcFBMpkMBoOBra0tzGYz4XBY2tl+vx+L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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_wavelet(a,Jmin);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select the threshold value, that should be proportional to the noise\n", "level $\\si$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "T = 3*sigma" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Hard threshold the coefficients below the noise level to obtain $a_T(m)=s_T^0(a_m)$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "aT = thresh_hard(a,T)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the thresholded coefficients." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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3//73v61uQthj0PChVatWVjchos2dOzdk1zJr68ply5aZch4tPvnkk5Bdy0wM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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_wavelet(aT,Jmin);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Reconstruct the image $\\tilde f$ from these noisy coefficients." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fHard = perform_wavortho_transf(aT,Jmin,-1,h)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the denoising result." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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fYOYGtGLl2GllzLmrf8wGiXOn1WpheHgYo6Oj7/88h09+8pM4e/Ys0uk0nE4n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\nBwfHg1AIGLk+HqstOZuxUCgYzhEKhUwzuZqylR/v+rI0J5XZV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(fHard), 'Hard, SNR=' + str(snr(f0,fHard)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Wavelet Denoising with Soft Thesholding" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The estimated image $\\tilde f$ using hard thresholding.\n", "suffers from many artifacts. It is\n", "possible to improve the result by using soft thresholding, \n", "defined as\n", "$$\\tilde f = S_T^1(f) = \\sum_m s_T^1(\\dotp{f}{\\psi_m}) \\psi_m$$\n", "$$\n", " \\qwhereq\n", " s_T^1(\\alpha) = \\max\\pa{0, 1 - \\frac{T}{\\abs{\\alpha}}}\\alpha.\n", "$$\n", "\n", "Display the soft thresholding function $s_T^1(\\al)$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def thresh_soft(u,t):return maximum(1-t/abs(u), 0)*u\n", "alpha = linspace(-3,3,1000)\n", "plot(alpha, thresh_soft(alpha,1))\n", "axis('equal');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select the threshold." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "T = 3/2*sigma" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform the soft thresholding." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "aT = thresh_soft(a,T)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "To slightly improve the soft thresholding performance, we do not\n", "threshold the coefficients corresponding to coarse scale wavelets. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "aT[:2^Jmin:,:2^Jmin:] = a[:2^Jmin:,:2^Jmin:]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Re-construct the soft thresholding estimator $\\tilde f$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fSoft = perform_wavortho_transf(aT,Jmin,-1,h)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the soft thresholding denoising result." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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LsD4e6vI5uH1wSlyPuZ9UED4l3SMECujYMyAIfvbKx+8ZQn/JZNKsLgonnU6b\ngvd7BSGVpHK5rMPDQzWbTZsz/u8zPfkfLk8sFrNK23A4bFyWJ6WZV1zeSCRiRCbvIdkLxAfCS6VS\nH+xQ5tzcnHK5nHK5nC5duqTPfe5z+tVf/VWdP39ekoysIoOMbEOIQWCyFCiIzc1Ni1WzSJMhQbQp\nmyWRSFhyiA8ZTn4xEEyILyIAPm8fqI3fyab17sNgMDDeALLJCxGb04c3WVjYcxDA3t6eFTB5dhoY\njXLwpCtzcuHCBX3iE59QPp83co/nI/wHdCU8San68vKyZYeiGKUgw9TD68kvQphULXpk58veSR4i\n/6FQKJhi4P4ZCLr/H3Pm3Sfm1K8riMmjCT6vVqvZ/IHIPDfhSXKucXR0pHq9bkldk6SnD5l7d8Dv\nD6JNXlmBYkDHhPV99q+vBiYkzd8o4iNp70nHU1EOjUbDYHSpVNLBwYGazaZKpZKeffZZK6slE5CJ\nwXejAhFoGI1Gtbe3N8bY8jWZk9BsNjU3N2efVa1WTbjhBphkrIyPOABhK5WK5VUw8aTtwlFwPUjM\nwSBI9QY6S7LwG4Nrk/BEvBxUwMbb2NiwzTQcDi1cxebAYlQqFXsm7y5RQVgoFAzGFwoFnTt3Tt/7\n3ve0uLiocDisXC6n1dVVyzHp9XrGEzCn+OsIeCqVGnNhECTmAGTB8JYf7mAwGKher+tzn/vcGH/j\nLacPC0uPxvCB1f1+3wyLdMJxra+vK5fLWREVc4PCazabZgwIjVJuDynNZ9HjATTZaDTUbDbtPie5\nJr6of/ERsMehGIZ3r8g6BWX5PAhK81Fe4XDYcn6edDyVaMXP/dzP6Uc/+pE2NjYsvDgcDrW2tqbz\n58+r2WwqlUppa2vL4uAkqQBXIYkIJcG+E/bxsWj4hV6vZ4VZLK63qFQ0ItRHR0dKJpNKpVLGVs/M\nzOjBgwean59Xv9+3LEiEEiYcSwExJwVCAglFjP5xUQq/8LgpJMwMBgOtr6+b5QiHw5ZQhIVtNpua\nn5/XwcGBKT82fD6f1+c+9zk9++yzarfbVuG5tbVlG7hSqRgxubGxoWeffVY7OztjvQR8Ax3pJMyL\nMvW5KDyP9Gg+A1YPNEeVpiTl83l95zvf0WgUNOGhCnNSOYCSQFH8TzqpkCXsiVsZjUY1MzNjuSs+\n90aSZU4itAhho9Ew5OMLrXB3eG2pVBoLL/taEI/uUBi5XM5yGJg/EBmvx/jhDnmeyid+0bfD1/lc\nunTJeKzG8TCSAAAgAElEQVQnHU8FObz99tvmnw+HQxWLRUUiEc3Nzaler1v+PoU6kHFAcZTApHWa\nzEwMh8Pa2dnRvXv3jPSampoaqzSkm5QnInu9njKZjBYXg1PRqtWqkZq7u7vGtntrzGbErUBB4OZw\nvcm8Bl+R6EuUyehDkXglUqlUbNNJgTWZn5+3ZLGVlRV7jnK5bGQUSGNpacmU6PT0tAko18ca7u7u\nKpvN6nd+53esGYwPNfqsTshP4LTPHfC5FR5KUyiGEqnX65ZajALi+VHUZM9OogY4HB/dAo1wPa4D\nF8T87uzsjBkelCmv8Qo6kUioXq+PNVTB7atWq/a+o6MjE2BPbvsydtAKAwVAYhdEKgrOD1w+fgax\nzs/PP1KXAkdCxORJx1MhJD/5yU++xqRws4QVHz58aEQQbD3ZfvV63fxAn3/OJvHwmQ0+Go0MNnqy\nEgiHovGJQXAdR0dHyuVykmT+ciKR0MHBgVkP6dF+D8lk0j7fp9j6vAZvAfibd4HgMtjgXgmGQiHt\n7Ozozp07yuVyWl5e1tbWlhqNhh48eKB8Pq+1tTU1m037/MPDQ1WrVZ0/f17PP/+8ZmZmtLKyokQi\nobW1Nb3zzjtjBB35E8Ph0PIYUFLcl3fdJuEqAoU1Qzg8GejD2QhGOBxWo9HQpUuXdPfu3TFCmnvy\nUSWUHZEF5pGYP70j4FDy+bwZJeaTe0eY2+22Xn31VUt8Yn14PS3p4vG48vm87b+ZmRkzDDdv3jRD\nQeKTz5PY3Ny0lH/yPzBezC0RHK9g2Q/se6J2nqT2rplPEEOB/OhHP/rgEpKerYWJBSmQ2LSwsGBZ\naNVq1eAXD4pge5+XReBzsRqQXFhLlAo5Ej7sQzhKkhGOWDI+DzbZK4dUKqVisaher6dSqWSKanZ2\ndix12o9Jl8ITeWtra5bqi3Jkc/R6PV2+fFmf/exn7fPD4aAQa3t7W1KQxEQkIplMGr9Di7Xbt2/r\nzp07+sEPfqBvfvOb5pJMMu/dbldbW1tjlnWSNPVrwBwxl56sAwGClPwcQIZCet68edNCjD7vY3Lu\n4JtmZmbGOAZfso3ikfRIBicKzydrpVIp/f7v/75FO/w1mWsUVjweNzTrXVSfEMW6+xyLtbU1nTt3\nTtlsduy5POdE9MKjBpQZPBXojfBrv98fK/TCrSU7MpVK/STxtPFUkMOnPvWp10hThZHGTVheXtbC\nwoIWFhY0NzenlZUVXbx4UYPBQKurqyaU/X7fEpQo3ppcOAq0dnd3DdpHo1HT2CSFeF8Pi0TuAqiA\n775ng48te1cBSAgCkMarCr0l8D9LJ6gCCIqfyL3DoZTLZeNhUJShUEi5XE4HBwe6ffu2zU29XjfF\nubu7q/X1dS0uLupb3/qWCezu7q6q1arq9bo1OqVnw+PCiNw7Au0FjLnwESM+B/eKyBGJYwgW4dJQ\nKPQIeYeSnSTsCAezpswJKBHrK50oL5Am1/WkZq/X09LSkmKx2FhyFol5MzMzlmviUVQymVSlUrHi\nKYSatWQ+uFdIy2g0atCfbleTrpN3TaWTvBb2eigUGnNnR6OR8vm8Wq2WLl68aC5VNPrknaCeCiEZ\njUbNyvb7fWO/l5eX1Wq1NDc3p6Wl4PjI1dVVs8pvvvmmYrGYdS2iDwLsOALsQ0X379+3egDphJsY\nDAbmMrAxJpNHstmsRVbYxGw2Ps+7CqAVruFJLsglNgjXY4NPDiAyioLaEHpHZDIZ6ynI64iJYyVx\nv7z1e/DggVW7PvPMMyqXy9aY1n/B74A02HgItk+uQbiZA+aDDcmcSDJF4v1vGP7J/gTSSWdwhNq7\nIQzeQ0QnEomYsiQ5zVfGco+PS8Jj9HpBqzb6Z0Jq+vAkwuajWdRRsAdIDsPSs8c83+RL6j2awe3y\nmZzsQXp9kOuAssGdikQilrx1eHho6PmnGU9FOaTTaUuj/exnP6u7d+/qK1/5imlmctXz+bzK5bLi\n8bi+9KUv6datW/r617+ub3/727aB8O8TiYRtPCafDcNGgQFGWGguSkUb8XbIp8PDQ0ky6IwQSicd\nqdlc+OksMguMZkfpUN0nnSgWP1AYPkU7l8tZOTI+KpY3FoupWq2O3QtFPFhBysyBnj5Zi2Y10klx\nGNl35Bt4BQDs9UjJR3n8HK2vr5uAEWWYnZ1VqVSysDFp87hPRB4oPWdT+znz4UwGzydpjHTj3niv\nf5/nTQgx4455hU3z3Y2NDT3zzDOGdJk7krpwlal/AFUgrBCN0WjU+n2Qog9fBcLwLgzhc5r4Um7O\nmvnOWaDVYrGog4MDcys9sfuk46m4FZ/73OdeI4wE3J2dndXP/uzP6vz581pdXVWhULAzHi5fvmxd\nicrlsiKRiJXS5vN5swqtVstaqkMOwfiyKGjXw8ND+x+ow1f1AdNQKryHzezDlh4GeugN/wAj7yE1\nwoZVmAyFsdElGczmPbDhXI8wJ1EXn7Q0NzcnKbCM5XLZEmlKpZJu376tUCikCxcuWANfLBmh3kgk\nMkamAYNRgEdHR5qfn9fGxoYpaObCd4+eREGtVkvXr1/XnTt3VK/XNTc3Z+4TSpV55loIBnOB4DFf\nKC0fJRoOg2pO5s5bZUmWihwOhy2vhvUGqfX7QX3M/Py8IpGIFhcXdeXKFct5kGRzUalUzDUDwaIY\nPAfj3TAUPsrRGyAUmydO+Zk5oqoT1EcSVDwe19mzZy0Pglyeb3/72x9cQpJ6CBh3NtjDhw+VTqd1\n584dfetb37IKTBI6sIL1et2EjA0Ec83moRNwKpVSPp9XNBo1eEjvAQQdK8GG8J2VGf1+XzMzM3Zt\nzyuwyJLGNje5G5JMEWBBve+MT+zRAt/R+Gw0IDndpUOhkD0HaEA6OZxlfn7eyte9+9HtBofvbG1t\n2XpIMqhaKBRMcUknqepElXzC0+3bt1UoFOw5vbL0c+KVRDwe1xtvvKFUKqXV1VUdHByY8KKMvMX3\nCtMjLuYQa889+3v3vRa4F+bSuwoIKHNJ0xb208LCgi5fvqxr167ZYUZ8VqfTMVLSu1BwLdyLz+2g\nQ5l3LUEXvgmSD6kSdZBO+pviJpO5S64IiGFjY2PMyD3peGqcw3vvvafhcGi9+4BMfmMtLCyo2+3q\n1q1bxsaHQiEVCgULaWLthsOhZdK98847yuVympmZMeJmenpai4uLWl9ftziwh+8Iqe/o42PmkixT\nDiXkfVjYfa9QQqGQGo2G/Q9rSnzak0jAaSyvVzY0MAG2TpJn7XZb09PT2tzcVDqd1sHBgTY3N3Xx\n4kWDmDwnBW0Qpel0Wt/5znd06dIl5XI5xWIxQ3TMB/43bh5JZFjyM2fO6OjoSFtbW1pcXDTlmEql\nrFkM9wvCIS0ZFOGtPoMoBTU2uFUo8Rs3bujFF1/U4eHhIxwAewh2HiXg3SHWh8OV6IzFtflMMkev\nXLmiy5cv6/79+9rd3R2D8ihslLbvabq7u6tyuaxCoWDhYVwpnyjmeStQqQ91Mtgbg8FAS0tLRrCj\nUEulks6fP2/hVn8K1qQ79mPl9Ilf+Q9xzMzM6M0331QkEtHOzo41S8ECoPUXFxd1eHiovb09FYtF\n67rs25sB1WhJlk6n9Zf+0l8yC1QsFpVKpfTWW29pY2PDwj3emqG9EQxpvOyVjUIcmmpGNqIXZC8I\n/O4JJYSfgULx0HPSTSGiQOuwyX6U8DTcezgc1sWLFxWPxy0U6xOTeB3XBwInEglrHAOPw9ySeAVk\n53nD4bCdFbK8vGxdwwkT49Nzvyi6wWCgUqlk1hqiFVcBfxvh9lEFvhcKBSv9hk/y3ANrxp5BaXnl\nSy8QlGytVtOZM2fMGsND4Opms1nrv4lC864NhsMrC/gzskuz2exYHguJUzwHXBCkrkcQDMLOKGQQ\nLRwb7f7YoyCYnyaU+VSUQ7lctgYXZ86cGQvjSTKOoF6vKxKJWA07DU7I6kun05qfn9fZs2e1srKi\nfD5vLcKB6kzi5cuXFY/HVS6X9aMf/Ujvvvuums2mpW5T1Ynmp5bAa2mEBujn2eNJV4BBDHvSLUH4\nfbjLx8F9tiIu0s7OjlkKlCObk8YnZBJSa+It39tvv61SqTQW2SCM+bGPfcz6BJBIs729rUKhoK2t\nLSM/cSmkk8hLLpcb6yBF6TSKp9FoaHV11aA187awsKDt7W1j2yFX6W4tySpYKWqbm5sz3qRQKGhh\nYWGs4/RgMDDrjDInssPvoEYQCGuIMiK83Wq1lM1m9fbbb6vdbuvixYuq1WoqlUp2PygaX91LV+3Z\n2VlbE9ChJEOT1G+w1+C8WFMME0Q31bO4GPAI9N7g8xcWFtRqtYxQBw3DuT3peCrKAdLEk2mepKPy\nzfcXBDoyAbSAW1lZ0YsvvqgPfehD2traUq/X0/PPP2+QDeFrNBo6PDzU4uKiXnrpJV24cEH37t1T\nNBq1oi80tXRycCuw1kcfyK+YTMrxVs0nEkmBkB8cHFhY0MM7LIqP6fvoChbl3LlzKpVKRqT6dvrc\nH3PL791uVy+//LLm5+ftqDTgNsjAd2geDoOmvdlsVsViUdVq1c4NQQB5Nqww72Wk02nrYUE2YbFY\n1Pb2tpHHU1NT2tzcHKul6Pf7lgYOrKbRLGnB6+vr9loatWIhsfIw/+FwcCJYtVq1s05QbFhSH2bl\nb6AlIjZHR0dWwu65K48uqZyMRqNaWlpSJpPR7u6u3b9HM3x+KBTS3NycDg4ODPXAB3nC2oejfdKT\n5098TQbVsZD4vV5vrB3dk46nohyAYUBALCjsLJt8amrKknOKxaIx2viCuBXAMCmwSru7u0b2MCmS\nLPbLZ0vSF7/4RWt19tZbb411MapUKlZpR7NaUomxGjDGjyMlJVlxFNaJ0KCkR75LJ/F7IPjBwYEp\nLCyOr2BEoMvlshKJxFhLfCkgf+v1utbW1jQ/P28l3/RoYLPt7OxoMBjo8uXLlrJMYRufxwb2SMmj\nJP4nybpK09iXjeoVAYLsn5ckM+Aw5f1Y+hs3bmh2dtbQBoaEuZZk/vlwOLTUedCCz2mhGItn470k\nzUF6Hx4e6uzZs5ZpCNHo8xu8MiaPhOt4ktr/jOIgrEujW5QD7hc/gyCIzIAqeFZfdt/v9y2c6VOy\nfxrO4amEMp955pnXaKPucwvw1SiOopFqJpPRhQsXxvooArlCoZMUZTo2SdJ7772nmzdvWo5DuVxW\ntVrVt771LdOsa2trmpmZsbLkV199VR/5yEf06U9/2moRICchddDQnnn3r2PAYFMxSYu7x20a/yVp\nzPd8XBalj7BIsnwBQpUgJjYtVrRYLOrOnTsmxDQPkTSmMKlLYWP6TY3v73Md+J3/ZTIZJZNJy6/g\nfoDDCCiK4nGJYZlMxlKiIfeq1aq5jUQR+LzJnhBERJgPiMvDw8OxMOBgMNDa2poajYYuXLig6elp\nazXHuSfz8/MWHsQwsH4ku+GaQrhyBgiIBmOCC0hOjxQI9vXr1/XKK6/o/v37loTmU/7Jz4HUnYy6\nMKdEr1C0rJ9v2PuBrq1AaGijTT0EjHGpVNLDhw8NjoXDYX31q18ds1IghsFgoK985Sv6zd/8Td25\nc8cmkHqNXq+nSqWiarVqnZMoeSZCQIUdvMDq6qquXLlim4INPxlaY4Fg3Ykz43/SA4BTrSqVill7\nnwUonQiKD/8hNGx4/39vpRCmSbZfkrHXDx8+tMjI8vKywWc22N7ensXnJY0Vq01GALwiQxmzSYHC\n8XjcPgvL5V0PNjSIygtBKBSy1G+QXL1e1+7urmq1mgaDgVZWVsZcAJ95KMl4Bxr0ttvBGRlLS0um\nSAqFgi5evKhOp6NPf/rTBss/9rGPGZpFoFl7eBrflQmlCImJYvJryrNCDINkIM6vXbumz3zmMxZ5\nQHGAMODRID19XgvrTEIUSAMUh0L7acq1pafkVnioioVjc/Fgk/kGHM+GBp2fn9elS5c0HA71la98\nRbdv31az2dRXv/pVff7zn7cKtFwup93dXdvsZLZxBuX09LRBxdFoZPFq0oeLxaJmZ2et6nFtbc2y\nzCZrH6iso+FGvV7X9PT0WLERiVnwBlibbDararVq0Nj3LPS1HrFY7JGO3ZLMp4d592nLw+FQtVpN\n58+f1+LiokUJEomEvd4Xw8HGY4GB8N5d8YN7YT19AR1+vE8WQkBQPHA1uBm4cfj80WhwrsP8/Lzu\n3LljbfKlExciEokY71Sv102ZJhIJFQoF7e3t2Wd6UrlWq6lQKBiihAjP5/OmiCZRD0LmYbwXPKw7\nSkg66T3BZ3geYWpqSt/5znd0584d6xsinWTdsha0MIhGo1aNSRk27tmVK1fU7QaHPPm6GJT7xsbG\nE8vpU0EONF5hE/Mdt8L3BqjX69aL7+HDhxbiLBaLun37th4+fKiDgwNJ0g9/+EP9jb/xN/SlL31J\n3//+91UsFrW7uzumZeEfksmkpZYSTpNk1hUoPDMzo4WFBR0eHmppacnCfqQgM7wfCWmZzWYfCZtS\nM0HeBlaJCAGvoy0elgTi1LfI89aSPAUsZyQSHAVfLpdtgzYaDbPGKFnut16vWzIUMB0rxUbzyE0a\nd29QDCh7LDojl8uN9Z70yT0+OQulRlgRhJXL5Qz+T1pM7uP11183xeDrElKplEql0iOWkxTzUCik\nj3zkI7py5YodwJPJZMbW2KfL+6Qs0AH36TmVSTcKlAHC89wRKKLfDxoT0ziYe2BeUWrJZHLsuDxQ\nQ6FQGEMmoDL2bD6ff2I5fSqcw/Xr11/DctDejC+y8IBQLCB57KT+vvPOOxqNgtbm586d04MHD5TL\n5ZRKpbS0tKQHDx7o3r17ZvEHg4FBU58wQ1wYYghhOzw81JtvvqlQKGSnJUknfQj4DqNOshFcSCqV\nUjqdVqlUGnsePsP74iQMIahETRAeICOkkjTeHYiwY71et2IpSXYUGtZoaWlJlUpFrVZLOzs75koQ\n+kqn07YpQQo0PkUgUdxcH2Xi3YpsNjvWm3MyD0E6UaY8i0/QYa4IV0ejUa2srOjevXt68OCBhsOT\nMze4NtedRFS+PoGBckZA4bBAi9JJD8mjoyMVi8WxU7F4H0gQDqHRaNjhxPV63cq5Gaw7aIy8FuYS\nVIJSJvSKWxGJRKweg33qCdyFhQX1+33dvXtXKysrtmdpSwCCu3Xr1ge3KtNbIB93ph2bj/NCAjGp\nRB/w34n/P/vss7p7965Go5F2d3d18eJFPXjwwITwox/9qCVAkZFJlp6HfixCLpdTJBKxSAaam4Wl\nhyWavtvtWsZmPB639/ku01gS6aR0GyXplY9n1SWNhUR95h5+aDQa1d27d63tmS8U4+DWRCKhmzdv\nmkCvra1pbm5Ob731llkm36VYOilgokEprpAnKCeFTpLlioDGQAIoZLI9PXKQTtKNscgokEgkounp\naTtNnb1BRixrDKE6OSbvE8EmC5Q18K8hvZmUZO7H8wbcO9Wg9M1Ip9OGCmnE4sPc7FsUgnSS2OZJ\n2ng8bqTsYDCwSAZdychVoYaF1ooXL17U3t6etUMg9MpefNLxVJDDhQsXXkPjUtBy5swZNRoN61+I\n/w5hSUlvp9OxxBFv3djUwPZqtapSqWSncU8SfRR70WRmZmZmrL/ge++9p/39fW1vb+sTn/iEXn75\nZTs8B9iGteJ+CCVCXlFL4XkJTxL5XAGffy+Nn1/A716heBQhndQPYK0I/YFaJNk9Qvz6MCmuA5xL\nJpMxBUsdAQKNy4GQ+G5eKBZQFS4jwsGzT96/d1FAEeyDtbU1tdttO32K+w+HT86BRJg8lGa+iOb4\nqt1er6dnnnnGkq7432g0UjabNcKx3W5bnQN7kogKxXikooNo2Is+uc+HhicrUFGctI5nL/A8rL9v\nTcf+mJ+ft94euG5UbfKcoVBQus7a3Llz54mQw1NRDmtra6/5jUJLb/xUrBIuBjkLhN+Gw6GhBEJC\n4XDYTn0m4Ykmoe+8846Vw0rBRtzf35cUlG3PzMxoenraelhWq1V94xvf0Obmpq5fv65MJqPLly/r\nU5/6lD760Y/q/Pnz+sQnPqFisajp6WlLIvI8Cm3msJ48q9fcuDS+ToHXs+H9BvMMuoeizMMbb7xh\n5b8k/XAOSCgUUqlUUq1Ws7R0StohtNiM9M4kU5RNR8s1Eql4TT6ft5JyLBzPwPA+uIf8HjnwvCiK\ncDhsB8w+ePBAzWZTjUbD5hg/HWXD3gmFQmq1WpqenjZlsLOzYygApISS9eHmF154QXfv3rXcGqJN\n1PJIJxmHngsgrIl7QsatT04i4ezMmTPqdDpjqfogqpmZGc3MzBh3QDEXjWNRqCgXumqTLTsaBQcj\nw3eBLjFSg8FAd+/e/eCGMr014VAPSpDxr4BxlUpFDx48sOIiz9jz8JAxi4uLWlpasi7GEJIkT1Wr\nVTsPktOx7969q1qtZlqZvpUkshweHqpSqejrX/+6tre3tb6+bqnfa2trunDhgs6fP29pt8Ph0FqE\nES7zBTo8Fz+T/gqJx/BK5MclTeHnr6ysGISF+Z+dnbUj7DKZjDY3N62BTSqVstZwWEIE5r333tPc\n3JzBYixZLBYzX5zXdrtd3bx5U4uLi2O9E3x3Lenk8GGYdu+7e3gOR4DlpOALQaQ7FHNar9fHckZY\nW9xFEMqFCxfM7ePeUXJY2unpaX3ta19TLpczaE7Fq6/y9IqO6ArQ3+ce4O7wXMzh/fv3TTGAJlgj\nQriEx3G1/OnbfvDcdOdGEUjjHbj8fT3peCrIYXl5+TV8qenp6bFNBNHnOzeR+ATp0+l0dOvWLa2s\nrGhvb89en81mrZ16LpfTjRs3FAoFbemBquQrUONP6TInP+/t7endd9/V7du31Wg0lM/nx4Q8Fotp\nf3/fuutkMhlduXJFFy5c0Ic+9KGx+DIox2e5eTTB62imi9IDKvP80riyIAUWa4V1oWkNFhW/k4gP\nKdNA3F6vp729PXsWYDibioOCKHAitDgcDi1RCNfFuw4Ivc9r8KgJpOfDnLyXsGomk7FCM7JVqdNg\nTnyKNZwDAhiJnByDCKT2RW0oGAhJ1n9hYWGM2GWNM5mM1tfXdfbs2bEuYAgnbhfp7BRchcNh/cIv\n/IJ+8IMfWMiTcDXG0J/jkc1mdeXKFUMAGC6MiC/IkmThVknWFdujTOaY/Vav17W+vv7BRQ5MHnn3\nksY2FbniPLSHXZ7VvX37tmXL4UZkMhktLy9bF2aIHpKg2u22dnZ2VCqVtL+/r1KppBs3bugHP/iB\n3nrrLe3v7+v+/ft2MC/FQxCZWJzDw0OVy2U7dQqr+Pzzz+sXf/EXtbi4ONZFCctH4hEL6EORsVhM\ns7Oz1vZeGk+4YuBXSsFmwmoXi8UxhpoOUbRNB3r6FG5yPbB8cEGcaD0cDseUN99JKJI0luvvXYTJ\n+5YebWDirSGWv9lsKh6P29mmuAZwTqAMnzvhiUIf6i0UCmo0GvYcnovwBCPnoJBLI8ksOgjh6tWr\n2t7etiiDt8Q+TOk/t9/v66Mf/ajVpfDcuEFkUfL+xcVFLS8v29pLQQh6f3/fCq/8oAU+XByckG9U\nhOtIo6MnHU8FOVy7du01abxPIiwvbH8qlbKYvvdNE4ngoFQSYbzfiO+YSqXMHWBi6BgFySWd+G1Y\nqFAopI2NDev4RO9JDtsdjUbWubpUKpm1Hg6H2t3d1f7+voWiIpGIZmdnLcwFr4BPHgoFzWCvX79u\nqILkH76A5twb3yHNIAgZ6XRat2/f1qVLl/TMM89oa2vLGvVStk1FLL0xIVa5T9rjFQoFzc/Pm1Uj\n0uCRChwL9wUPwgAh+Bi+39wQi8BvmuHOzs6aINRqNdVqNTt/A4XgFRzzS/UlyUGDwcAQpU8Ko8/B\naBQ0Ya1Wq+ab+wiCFCiz6elpS7kHefG8pP3jnngl22g0VCqVVK1Wtb29/UhuBPMChxEKBd2yt7e3\n7XBickOIFGFY2Jf+gOXZ2VkzPrgS3DOl9KFQ6Ik5h6cSykylUpaFCOlIOMgf6+Zj9kC2QqGgXC6n\ns2fP6u2337acd0lmKV966SVTKHT0ZTEJS3oLR+4E+Q0QfDDEPi2WblThcNiUk4e8Z8+eVbFY1MrK\nihYWFrS1tWUMt+8BIclq/CENk8mk9SfwMf/JVGsSogidEeqENLt7967eeustLS8vW5s6GpIWi0Uj\nY+E8otGoEZSSdPbsWW1vb+v8+fMKh8NmTROJhA4PD8d6Fkon4VUExZ/W5e9vMleDtHlQYTab1cbG\nhp00hRBQp0DPDp8ExRrymaurqxoOh5bMVKlUHtl/uCD9flD2XalUjCPwIWMUGwlHuFGRSMTuAYU1\nadEjkYgV7a2vr2tubs4iG8w7EQd4C+Z6d3fX3F7uk30DUqDvxszMjPr9vlZXV9Xr9ax9IjKDovCl\n4U86nlq0AuiFZSfsQiGLFEC1fD5vvvTOzo7OnDmjM2fOqFgs6u7du7p9+7bVFRD1oIMU5b0QZbgj\nPmQonVSJ+oiDdOLT++w3fHUPK9lsWC5IpunpaeNFNjY2rAqQRhyXLl1Sq9XSzMyMhsOhhUpROlhU\n7sP7jpP5ELOzs5qdndVbb72lqakp5XI5S5Xm/mDLCXNJJ+eQgl58BePCwoL1JMDd8HUGXonxM66S\nJwNDoZMTsVAk+M1YM5BFJBLRwsKCOp3g9PSdnR07t4Rr+QYtGAeShUCYEMKSzEigoLDsIKZ0Oq3Z\n2VktLCyo2WyqVquZcZmamtLi4qIWFxdN+YIOmLdQKKTd3V1LFkPg2VOdTkelUsnWjmdAweAKcE2f\nOOYVD/1TEXZOXvOp5xDQjUbDSEqURCaTUTqd1ltvvfXBDWWurKy8BlSlToDQT61W08zMjMrlsmKx\nmDY3N007oonRmHfu3LEDPDhfAP+frEXv1/sN0+8HTU3ooMTm9O3RPT+AksCX8x2cfYi0XC6PEYrz\n8/N6/vnntbS0pOeee07PPPOMVRh+9KMfNWsyGAxMMVSrVSO0QB0+fdknVXk4D0RFAa6srJj7Icla\nlg0UO24AACAASURBVAFHfYEPysLn/1OkFYvFLJUb1pz78PPG/XqIzv/ZoCg9iDZ8fT+HuVxOpVJJ\nw+FQm5ubKpfLmp2d1f7+/pjQIES0Z+ecEa+wfLjXN2fB+hIlW1xc1JtvvmkWlhRlSO6VlRVJJzkY\n1M7gXoHmfIiXeST8iqCzZ5gT3FAf1mUuWBOI0Vwup+eee067u7va2trSxz72MdVqNdvDGIFisaj1\n9XVdvHhR29vbunLlikWpbty48cEmJLGK8XhclUrFrBmbgAKY2dlZK2PFeh0zriYcq6urVs4dDof1\n4MEDSYH7QijKbw6E3B+1Rw0B+QlUWLJw+JVAOzYJaMeTZfRKIFuRnn74rmtra2q1Wrpz547C4eAw\nlIWFBZ07d84Kt/yJScwVVtdHMrDM5Glw0nc0GvRSuHr16hgRiVLgCyvKungSlSxQ3AKf6stmljT2\nP8g8FBWfKWlMqcCBEG0CChMKTiQSWl9fVyKR0NzcnJ2I7XuGTs4FyAdFx7p7Jch3EoNCoZAdjksI\nG2tPDgouJladPcHncC3v5vGsIAheR1SDAXGJ28o6w7VxPcLGvV5PN27csN4SW1tb2tnZsWZIuONw\nOMzHwsKCIZ4nHU8tz4GFBQZBcgGX9vf3LTJACigLBplG6iihyP39fWNk6/W6JZJQk8F7gY6km2Jt\naM/umWbabRFzRmEAHyWZhURp7O3tGXkKMjo4ODAr8Tf/5t/U0tKSFhYWLG+DODvhtWazaRmixLm5\nT+aNvAqIUq6xsLCgL3zhC0qlUmZtgMOzs7M6ODgwZedZfOlE0BFCkBJuE2XiIDjcDDJNa7Wa5Z+A\nbvwZC/4MR0mWM+EFOh6P23FuEHscTtPtdi2DkQH896FU5smnL/O7FAglZ2FOTU3p937v9/Txj3/c\nqnR9hilrQ3iVzwDRsR6S7KDfyagU1j+dTo8lRjEXPpnPu2egYIQaBcE5p4Shfa9N2imGw2Ht7e1p\nbm5OX/va13Tt2rVHXOofN56KcgA6Edoj7k466fr6um1mn3FGmAsWF0EvlUomnOFwWHfu3FGlUlGh\nUBjb+FzXT3q5XLYFJCQHCgCpkB6LsJDE5bM8PeuMxfXEVb8fnCK9s7Oj69ev69133x3zl2nLxiYf\njUYql8tjaeNe6xNNQfERyqrVanrmmWd04cIFraysaH5+Xvl83uA+cNZbYKyi38h+3uFsfCYn14VF\nJz0Zt47R6XSsY7UPqyHc3lVisC+YR54boUHZPO49XiDx+b0r4TNQPRf14Q9/WN/85jdNscBnkLAF\nIgIFEEqFLwEt8plkYvrkqGazacLMPPpwJZwUf2MefZYtiqjVapmiD4fDRhL3ej1TJiTrNZtNPf/8\n82Ok85OMp8I5vPLKK6953xBoDPT1UMrDOR+nxtKjkRHuZDJp/fx6vZ6Wl5f1zjvvWJhOOilu6vV6\nZikQHphzvnyaMveKIHmY3O12TXg8n4Li4Lrf/e53rU1boVCwKj4pQFT37t2z1m50g2ZT4xb5+9zd\n3R1rBz8cBtWXnU5Hd+/e1a1bt7Szs2PRoVQqpf39fa2urlq2I2iIMm6eE9fiueeeMy6GAqNoNGh8\nWy6Xbf2azaYWFhZMefpeBNwbCUnkViA0hLERMJCZVw6SjDgl3I3SkgJ+h/fgYpAh2+/37T4mk4NI\nYyddutfrWRozqfVYdnx75hMSkC+Icr83+A5p6sOqzJ0vaMNAeNeN/Yhhw6jwHl/hSwMj0PS5c+fM\nvRmNRnrzzTc/uKFMBJ9TpL1l8M1Q2PBeQLFACAlwCsFhQvf29pTNZo1cIlzKNVAMLDAludJJGMtb\nUywCKGQy5g7s5f8+ykHMPhqN6ubNm7p06ZKi0ajW19dtkxKaxNphCbHkWEWfHRgKBe3gyZzr9/tW\nzjsYDHTx4kX1ej19//vftzZ5knTx4kU7R4GTv4gAeFjb6XTGQmP9ft+qI0FT1KP4Rjg+dMmcYXH5\nGUQE618sFiWd1FvwrN66Elr2nAX7pd/vW10J9zocDrW6ujrWDRtBYp09gYhrBLHnmwj7MDh7knwK\nlH80GtX9+/cf6RtK5SzXZ2/5UC+KGb7AV4vy7GRz0kDIoyLcXlAE/FK9XtfMzIyR3L4p8k8aT8Wt\n8D0DpBOiCsuBEqCyjQQn4CR1EkyK9+lwBTioZGtry3oaIghSoMn39vasCchkNGLSBeG+uJYnxSaz\nIdn8JGMh2G+88YbVb8TjceNIfDoximEwGFhSF/wHn43lQDD838nPJ2363r176vV6SqVSRsCSTs77\nIVEPDw/HCDkIzq2tLQuXgWIge4G1VDZOZlL6n8m3aLfblgYNAmCe4E9Q4H6u+SwOaiHvpVgs2tkN\nGAiEDoWNQPtyaemklycuGmteq9UsHwRB5pl3dnZUKBTs8zzK9fUtnoiczAbl//Alnlj2bjDZmygt\nakfYLyT3ZTIZmwuUTLfb1XPPPadKpTK21k86nhpy8LX3EDtsdL8ZKMlmwhEWH/cmbdhn4YVCIfPv\n0NTT09NWB48AQmpCKM3Pz5ubgeXCCqI4UDYIpK9IhEgjHx6LPBqNdOPGDS0tLVmWITAzmUxqd3dX\nFy5ceCRJpdMJTtT2LfwhKsmoRNC73a6d4zEzM6O7d++qXq9rf39/LKcEZefZfjaPP2gV1wZCFstP\nkVkikdDi4qJGo5E1AwbNEVLzxBpQvFgsWj4FEJtsRrIw4X6Ye46oj8Viunbtmrrdrs6fP2/Wu1gs\n6vvf/75ZaeaGyA3ZrISaffo15CThc3gUTkqTTtq89ft9raysjPW6qFQq5sZOCj9ohzAibgK5JBim\n2dlZI1w5t0UK0Ajnt+CmeWNCRIXQuj8QuFAomEHjOXmeJxlPBTlIJzn2HlKRBot/CofAsWI+ioBg\nA3WBo2SQwbqTovtLv/RL+gt/4S9YeIfrYJm8j8whJFwHC3Z0dGSt6YF9DLT97OysnTaFMNDJGj+x\n2+0a8qnVatrZ2dHa2toYTJTGc+upJp3U/rzehwxnZ2eVz+eNw6nVaqaM2NTAVD4DAfYDCAyHgKIE\n1nPcPAInnSQcEV3xuRA+aYmenv7YAOYZBcbaIAyxWEyFQkHdbleXLl3SxYsX9dxzz+n69esKh8Mm\n9LgzzIsnUFFMzAHKOJ1O25mqnmhmnny5NCSlz+plX6GY2OM8I0qK5/Yhz3A4bFm3V69eNfdokpjk\nnkEr7AcUw9LSkl544YVH9rBHS5PG58fK6BO/8h/i8CWsviRWCiYim80amTcZE+Zv3heMx+M6f/68\nWXrppGsvefSvv/66fvd3f9eKZtDSTCCbFyFhUwL7UqmUlQ/3+/0xYY3FgjZtpLTCsmPF2u22JThh\neefm5uxZyXRrNBq6fv26nVaFi3RwcGC9MCeLoGg66qM98/PzZvXppg1aoccFCtj785MD2Mvp0QhF\nKpWys0FisZjVYPh2eLQzQ0EQAeh2u3YSE6XSoAQ2NRWIPuzWbDaVz+d18eJFzc7OmpJiDUmvB91A\nnMZiMc3Nzdl9+96KDB/mlk5yIcg58c1ygO3wUbhaPhnO3zcKFmTG39i7KDBf7fq4dGwfuUAhkCjG\nPe3t7dmRkaPRSMvLy3YMIOT2TzOeinJAGxNjRoj8z2xcNoH/ziZDMNfX1w0lSCeT77VlqVTS/fv3\nH0Ef0klHZA+5PSxEidGxmUUklNdut3XmzBnb9JPPKo2TrQcHB1pfX7fux1tbW6bp6YiF60VfBuLa\nvrxXkikFlGI8Htfc3Jyx6Ddv3hyL7SOokxvwcb4oiujw8NCISJTmwsKCuRI0F0FRM4eQwMxnv9+3\nXgUIlK9IxFD0esEBL2xsKRCkc+fOaXl5eeyQZNbEIx+4qFAopO3tbUtsm6xHYSDMcGB+/5w9e9YO\nT6ZhL8IG1PfHEmLovNLl+VZWVvTCCy+YYfOKc3L+H7cefj9+6EMf0i/+4i9adCiVSllVKYgcF1SS\nNez1YdGfNJ5KKPOll156DRg/Se5JGrPYFL4A0fDhgaH+/EBqGvznoNHhGXzxDIvjDx31cXwyHiUZ\nU0wdBGEvX7WJa8Pn8FzchySzbggCz0FmY7/f1/37940HAW6+9NJLVocBBwCE73SCU6ubzaZeeeUV\nxeNxPXjwQDdu3LBnBjVwUMtkbr8nyxh0hsJtQ8mw4Um2SafTtnGJBhDNoJ09Ag+68dWcfGcuUApe\nWC9fvmxFbUdHR8rlcuZi1et1bW5uGndFdCUUCrpakYcgnfTj9JmIkux9uAW5XM5IcJQbyXdTU1N6\n8OCBuYZkyIIAMF7knsAr3bx5U5cvXzYF40ls3KLRaKRz584ZKkHh4taQjNVut1WpVGwtidKlUimd\nOXPGIlW+pyjP/YEOZSKYk8kt0nhJMuEj3+aKiYlEIsZYI4xYd/pQeuGkpj8Wi2lnZ0cvvfSS3nvv\nPbsfNgoViJVKZaw/Ya/XM9eAhqtsAulEoU1CVukkLZmIAZsQNEGiEYJRKBRULpetjfhoNNLKyopi\nseC0a1rQQzDB9IfDYc3Pz1u/if39ffNfsRgw3Qgez+/dFdbBE8TMJUqAxCB6ZvpcBNwwehigtD0L\nz3r51GmiCmRfQlpC0jUaDRWLRfPzITDL5bIlyaHQcCk2NjZ09uxZ4zYQXu6FecFA4M7ioqIYiHZB\nAOP+ePeWNfU8hS/4IkktnU6bkfA1FTQDwk2j3wP8FqeSEWKlrwfohTmuVCrWFo/Qts+PeNLx1A61\n2draMh/dRyd8uGk0Oum9AFTDQrNo/Ew47ubNm8pms8pms9rb27MMNpAKm4sqOg8pUVgU39AbAt8b\nIQGe0dePcyqpRPQFNIQu4TP8tdhoWBGsIKG9arVqceqDgwMlk0lduHBB6+vrJmAQsCikK1euqFKp\naGNjw9hs6QSm+lwASXY+g0/l9XwEdQU+VOpPayKSAtyNRIJu4HwuA4vNiekekRFdwgBwEjnzFQqF\n9M477+i9996zQ22mp6d17do1i5wcHh7amZpcTwryMHAXc7mcDg4OxsrNGSC+yZoJLDu9Gqn54bW8\nnufzGZi+hqXX62l+fl7f+973VCgUDDVIsuQp7oFq4qmpKV29elWbm5tqNBrmQuzs7Fi1MpwGpCQE\nJP0+PTryvMeTjKfiVnz84x9/LZ1Oa39/37QbfQL7/b51+fXxXx4KKI5VYnNFIkE7+Uwmo0qlMtaJ\nmNdJMgheKpXMH8Y6+sXEh0RT+6IjICmw/tatW6a58fVJPMEaUcjlIeBoNNLBwYEKhYL1LCCeTY0C\nbeM6nY7OnTtnMX0SvMrlsoVnR6ORvvjFL6rX6+kb3/iG+v2TwiZqFNiQuARwG0B0LJgvr4ZYJPsO\nSx8Oh+2QnGQyqbm5Oc3Ozo65TZVKxdwgQqWj0cjWj7qMYrGoVqtlxCAKaVJh4aIB5w8PD02Z0ALQ\n81d+fyA4k3sJwjISiWhlZcW4kUgkonw+byiIilla/ZGy71PqiTjx5VExe9q3rGMOOJ8DZEM1KPuo\n0WgYL8UYjUZWc0SfCNovwn9IQbgVxRuLxfT2229/cN0KJgF/lxgzvpV0Aj09ueNZXiYWDd/v93X+\n/HlJwSG6ZEACN9ls1WpVvV5PuVxuLC+Cz+dnhBlOg9ASFiIcDltfS3r++egH0M+f/o0bgSWbm5sz\n4SfMVqvVjFjFfUgmk3rw4IF+5md+RpFIRMvLy+Zr7u7uGpKYm5szxToajeweJsOfZGRK4+dn+PWR\nZIoAiAsCAtKTu4AgZbNZpdNpzc/PKxwO62//7b9tuSmT8wA3gWLJ5/N2jAAb2983So1WesVi0YSG\ncmbqG9gjPIsXKL+PMB67u7uan5/XzMyMHj58aAQjgs5+AB0Vi0W99957j0QfsPxwD57P8a9lL5Fc\nBafm9znoemdnx3JUSFDjGp5YZg/R5yKVShkK9jkqk3Px48ZTiVZ0u12VSiXbMBS44HPSgXdhYWEs\nuw0ty+ZFeXgI9/zzz0s6qfZDgfgmHSQ6kSTDJPucAUlGONZqNfMduV82KxqbgiM2fblcthZyhCV5\nTTwet96G6XRaOzs7ajQaOjg4MB+ekCD1E51OR3t7e5Jk0RkO3pFkvuXc3Jzu3btnbfb29vYs3Cid\nCI00TgYS+qWJb6FQsLXCSiPovlUalrBcLltNwerqqj7+8Y/r+vXrFq7MZrOmNJhX0MydO3f0ne98\nR7u7u5YUJclQS7FYVLFYtBwHSVbbAYLCqJAdmk6nxw4/9gLqXQFJVqMRCoUsLDgajdRqtRSPx63f\nRigUshCiTzXHLWy329rf37dsS68cpJMDbX0WLvuZ13AdiGieNZFIWJt+EINHJnBXnsvy/EQ0GhzS\n87jOWO83nlqGJCEXWGufcIKAEllA8CcZdZQDHaxp9kphEERmJBKUDR8cHNjr8Md8N2PvM/p8ilgs\nZgvOxKdSKd2+fdvyCHBTgJPE2dkgEEf8DzSTz+eNEGUTYlV8bQL5Dr1ez1q4eUXJhs7n89rc3LTr\ncPQdwoxSw/pIJ8rB8zj1et3OacBKtdttU7LMkaSxaMiNGzf0pS99SZlMRi+++KJ++7d/23I9vHD4\nLsw+V8HXzvDZ/m9nz541JcZ9+5Rzn0TGfvHrghXGbfJp1USLPJFNpqWPQmHBvXKAx6AdnFdK3INH\nj1yT10wOBJ29NjU1ZdeVZBmXuFwk3flQJZxdrVYzJUp9zZOMp3bilc+GKxaLmpubs0QW6SSfHavN\noiHIQF3eA6tdq9W0t7dnISg0KxsCuOi1OVAM/zSZTFoxULvdHisKAqbjX0I4IjDco8++xNp5awK5\n55t/kEEoyRrYIhhkIB4dHWl5ednCnF/96leVz+dNqD/2sY/p9ddf14MHD7SxsaGZmRmzTL5wyMNv\nwsbMFXPUbDY1Oztr0ZKlpSWtrKyM9eSEP6Et3sLCgoXqfu/3fs9a2Euytu6hUMg6QF2/fv2RRqqT\ndSqSLAltYWHBBJE8B4YnFVEEHLGIWwAnNTc3Z5wRbg3cDHkT8XjcKj1ZT4+WqJHByMEJkPvilZXf\nuz465PkJ1om55Xuj0dC9e/d0/vx59Xonh+zQOLff7+vMmTOmwL2SR3Fw5kulUtHDhw8/uJ2g8HfJ\nFuSsCLLRvPZnYUEWHs5KJydN0zdga2vLJh60AcPMBmPSgGAIBtckZEaIDMUiyfxutD+WBALTuyZe\nAZI9yPP5Ck5yMfyJysTNYcrr9bqSyaSVY5fLZT18+NCSsXK5nC5cuKB3331Xm5ub2tvb0+rqqiSN\n1RF43oa5ZC0kmRvU7/c1//9T92Y9kqVX9feKIeeMOSIzcqrKmstNu5s2bbAxgxACAfINNyC+Ad+B\nm/4MSNwjrrmzkRAgLhiEMcZ2Q9vtdlVXZeU8xpDzEMP/IvjtWCeqwGXplbLfI6UqKzMy4pzn2ePa\na+9nbi64+5VKRaVSSbVaLUJ3QEefd8Aa/PM//7P+6Z/+KTza5eVlzM4gsrtz506sizNbXaGc3ESD\nEedv4FE9p0bxGBvHWoFnXV1dRfco+wE/AM5Gt9uNKhUXCsyIvVQqFUAg6ZAfX+dY1ujlZV3W3DE0\nr950Oh0tLCzom9/8ZvQZAQTD9+n1etFUSBrohhXnit697XUraYULpaTgJ2Cdx8YGZxCCG6DMbAhe\n7+tf/7qeP38ePIZsNhtDaH/605/GvASUk/BudnZWp6enUSYkLwb0SaVSkZvRNJPL5WJSFGg4iiAp\nBJxQn98BLjEFaGdnJzyCT8BiM7e3t+N3GCKMGDRmBHlnZyfO+ISpCHdDGkQfAIce5kpDYc9kMnFv\nTCk6OjqK0h39Bufn53rnnXfU7/cTiDgEM8JemHg3NzdaWFiIaVW0TLPvExMTqlarcZCQ9wpwfxgF\n9gGDzKnhR0dHQTdnHygp8z40a2Fs+L0D3wDOpVIpMSqfKBKsyNMdgGVpgPfgCIgKfa25SH8PDw8T\nPBI3BkQ7GAvwjEajESlos9nUwsJCTEljfbicN+F0a1Ldt71uJa34xV/8xY/g01cqlYRyIEAoABuF\nMPNawkMwCV43PT2tR48eqdFoKJVKBeWXaKLX6yXYbDR0AeqMUlnZIFpjKQv56cfScPQd4SWhHQLT\nbDb13nvv6Xvf+15Qb8nBe72ednZ2QigmJyd1fHycECCAumq1Gs1UdAJymAnh/d7eXiglf0tLutfv\npeHBLcViMcqwCDq4RaFQ0JMnT/To0aOYWsWFYCPMGNhut6tWqxWG/OTkRHt7e2Hsv/nNb0aaweFA\nfkSBGwY+I5vNRloxPj6u+/fvB6aEwYY5ikF2UJr7I3wnAiF69MN2+QznhbghIXpk/x1TQMaQWT77\n4OAgPmO0CoeD9IiFf+fn5zU/P69yuRxp9/3797W3t5cohxLF8byQ/mZnZ7W7uxs4z09/+tMvblrB\nASRMlXaBRQl8MKyXg3yjaeLxqUGFQiHq5vzMUfnRUNGvN4WB5KFENYBmzBJ0fAEAEyTejcfZ2ZkO\nDg5UKBQiz8XTwoqE9yEp3otUg/IjwkspkwgFo7S2tqbt7W2tr68nKgs+NEVKphUYMCYsse5UEyQF\nbZeJWhhiPDFzHXK5nCYmJmLoCyF7tVrVysqKMpnBGL3f+q3f0t27d4PnIg0JUaMXz0fqRqRHCgD4\nDJfCUzhSjTcZCUqxnqL6BRiJoeQ1OBCPEMCgnIQ1Khu1Wi3wF+da+KQsL+PyXhjwhYWFoNkfHx/H\neET6KqRkesiaHRwcRJTxJvDzf7tuxTjgLRj64REClFPCQSk5FIayJ+Sd0Qe+uLjQ5uZm4BTgCV6R\nIBTnwsKP8gH4bK8apFKp4EhgKNgkPDjlQMAylHRrayvILpKi1Nnv9yOMxytRIgXZv7q6UrVa1d7e\nnubn5wMwJLydmZmJ0608F72+HgxkXVpaemMO7eU0jDZ4DRECQ1YhQ5E+oYB0lgImUo6m0kDpjcN/\n+v1+jF5Lp9Pa3NyUNDxb9E0XyoJHhwhHqE2kQD7veALelNcQnXHkPVRoiGyUQJExsAucDQAk6+f3\nN1oeJpXlflnnVqsVILM0BCmR+UwmEwrf6XT0+eefa3NzU9vb22o2m1pfX0+UQD1q4G9IkzDkPy9D\n8laMA+Qh2GZYbMpSksI7evlNUmIBCSklJSw73mSURAWQeXBwEN7KQ7j/beEQDFIBH/s2MTGhUqkU\nh62i+PAV+v1+NBKRewPIwV7E0Pi8BO4dRU+lBmc99Pt9/eQnPwljwn1PTEwkuATkyb3eYBjNixcv\nXhuS6n/v3AJC9MPDwwi3p6amYlgJa4EC8ns6MhuNhtbW1kKB+BuioZubwfRkmqfAdxzDedPFmhNG\nd7vdaObySIFogZ8BTqLApApzc3PBbeDvADlLpZKWl5eVyWTiiD3u4ezsLErN/Awn5cZBUuJnrO/p\n6WmAvay9Gxf22+d3bG9vB+bF0JpRwpekiOrGx8eDKu7ncf48161gDqurqx+lUsNzA6QhN10aViDw\nXoSpnofzNywsuaQPCmEj+TkbgFf30iblKWlIksFYef7KZF8nojglGuVixLznr95W6xOi+EyehZyV\nuYDSQInhZiAg29vb0WDEOH9G6QOsAmTmcrnAQkCv/Vlp8gKHIQ/u9wddgo8ePYq1nJmZidmJjo7T\n+MRa+xg7FHZubk6/8Ru/oa9//ev67ne/q88++ywamiBy+QwPLmQCY0z0BvWegTMomBOcoFc7WOxr\ngNLwr5eX3elwEf67IfMyMNUoSVEi98gA5wYeMErrZg9Q9IuLC9Xr9cR4fpdRviYnJ+PgH/SBPTk7\nO9PS0pKOj4/1+eeff3ExB7om6b5jkZ2ZyM/b7bbW19eVSqVUq9VC0X2h8RjO3MMLSIreCMLsfD4f\n3Xfk1jRbEXbiEXnv09PTmKVAKO9gkKREk9js7GwAoXgvSYkDa/AQvAefjUDhNXgNJVsOwRkF4Fqt\nltbW1iLslwZCjdHzsqVHTCgCoSn3y/vT+Ul/AYe/uMcCRGbtCe95RiKQarWqDz/8UJLCG7JPeGOU\nwj0uRrjZbEpSKBgVICofDszRyYlS8exTU1M6ODhIyBuGjv8zgczJU+50nOOBt/d0BlZouVyOqhvp\nMusKXgP9HDmAk0EJnZTAgUxPYRwbOjk5SUxNow2g1xs0niGHb3Pd2iQoSiugvDwQYaf3Q4AxYDCc\nLMJGQf5Ip9NxMrOkCDsxKngnFzzGxM/MzMRG0THKZ0BqQaCYaMz/qeM7d8Ept5eXlzFclfTEZwpy\nUdcnbPb7vLq6ipmQz549CxIY1Q4Ym3hsBJ7KDx7K8RY+z6Mv7+ZjfRn2glI6loNxcq4Bf8f9QwB7\n9OiR5ubmAjTEUEpKRHfcCxdl1mazGcQ4QF03xBhjZITReH4OCn0sDnJzjY2NxUTtqampROncDYWk\n157d2YqA1VQMoGjzeayTl9j5HVgJhoz3hUGLAeGwXUBYDCHr1mw2o8eiUqlElPfWevrWr/z/8Hr0\n6NFH5K0snneRSUMv5g/j2IQ07H0g9GfzaBiCycdryR/xmngDQl/CLjYMI0IDy9zcXHToMcLt6upK\nxWJR4+PjMVUbD8omI8hsth+1BruSzeXZXWERFLAI+vilIZLdbre1srISB+NSkgTUAovBGMDOZO2q\n1WoolvesdLtdfe1rXwsBJELAezl5B8PN3zcajQTpSJJ+4zd+Q++++646nY4+/vhjfec739HZ2VkY\nLE+tXBEBB/n5O++8E9UpSRHp4b09XXVv6+9bq9XCoLviE5bzHNIwqkUevGTJ8zsf5/j4OCI/ZMRL\n6g6sYmDgipC6jpZee71eTLPifkqlkg4PD8MZABh7ase+4HSfP3/+xU0rwBuYVOMRgFNg3cIS/jsl\ntd1u6/DwMMA/DM7ExESQevBQXkMeBR9JY7DE4BEAbITd5PoIBtUWP9eBzyC/9XSBcBNFKhQKATyR\nZ7I+DhTyHggSA24AVWnxPTk5CcPlXXtvemZIY3x5akGKhiAXi0Wdn58HgcZnG3g+LQ2bhHzYa8Un\nVAAAIABJREFUa61W08rKir761a/GtGpmcPqhPnhIIiaeHaVm2AknN42uE/cO3sPz8BykGrAld3Z2\nVCwWJb0+ZNcNxehoPi6qMxhySqnSgJtAOtvpdCJldTl3kpJX4dAH5MwxDqJZIoTt7W0VCoWEccPY\nIBuSEm3db3vd2vRpEN8nT56Et5KSR8vt7+8n5kKyGSgz47dHCTeAcK1WSzMzM1pZWUkQjLDMXL6Y\n9Xo9PJQfaydJu7u7cQ4ENf/Z2Vltbm4qnU6HxyZ0dQ/T7XbjdC2azpjgIw2PQ8P6E2l4GZFI6s/+\n7M/itG6eFdKTE5gYSsO9eJVCGh5263yNdDodITyKAW2XNWP9YGYi4ITX9DNIUrlcDgIOkReRD3k/\nUdAo8QnPi2GlPPr+++9ra2tL+Xxe09PTUSnBCMOVcQM3evX7/UgxWQunxvPFob54YAyYpwAOoKKo\nRJ6dzuAQW3pyuBfO33TaOSMHpaGR5j0XFxd1eHgYBoe9AOR2OfOjFnCaEPj4vLe5bi1yKJVKOj8/\n149+9KMY284FaQRhY1O8w5GwiQ0GPWfxWWz6AmBitlqteJ9RBtvjx4+1sLCgfr8fLct8vjQAE7e3\nt9XpdMI7AjjBbUcgiGCY+IuQgE5LAwGgKsFmemkOYI8+AvJ9jAYVHp9hSCoBKIngYBxGc2wEx8u9\ntM8DVmIg/W+95u+eWVIwC6+vr2MiVCaT0erqqh4+fKg7d+4EsOlNa84bcAWUhtGdJO3t7YVhdpDP\nK0asP+tINOFYlYN69MC4YXfD5B7Xy41UP/ieaM6HDUkKQ8U9EN1iXFlrn3/JBcbkaZu/hnRTGs7q\nIBoEp2OosU/n+lnXrWAO77zzzkeEkmwqG+pIOp4EPIJFlIYDXwBZWHiPHjKZTIxMA/Xt9XpqNptx\npJikyOnOz8+1vLwcAs/ngFeAZbBBhKGE+Y4ik+M7SEVaxOQm8kNSGMqPCAqpAv8HiOMznj17FkNK\nWA/eF6F0QJHSrTQs0RFm05BGSc0V4sMPPwxPNroPrLUbUZSKaCaXy2llZUWrq6th8J49e6bPPvtM\nGxsbce8oNPLAGrOumcxgoMzi4qJ+/dd/Xc1mU6VSKfpHuA/HHNgD0pBUKhX7RaRG6kL66dEGEYCn\nG7BgSTudeJTNZiPNZf0wmqwPg2S969YN/2hZFDyi1xvOgPR0ENwOOeFYgN3dXeXz+Uid2LuXL19+\nsSdB4QW8NARNWRrW37HiKL8DYB5eIZxEDGx+rVaLw2NPTk6USqW0tLSk3d3dBICUSqW0tbWlX/3V\nX40a/83NjV69eqXr6+s4JIbKBamFzxIANPLIgNAwnU6HUVhaWtL6+npsONUbhBN8RFJwDrrdbqDz\nz54909OnT3VxcaHDw8Po9XDF8vIbnaUO8HJf9Ba4lyZFIDpCCVjnUY/LfnnILSmmdXPALqAca4GD\nYP0wsOyz05ZdUbrdrur1urLZbAxFYf/hpGBURqsuDlQSsWEMPEIaBcK978I7PllH1np/fz9mVbKG\n0vAsV+QDxSbiwCh45cLln3vm3jztIkLI5XIx6IaRdsydZC1+nmrFraQVe3t7Yc1diLk8/8WD8HP3\nBHQTTk9Pa35+XoeHh3r48KGmpqYS2MHOzk5gAUQXKB9ChDE6PDzU8vJy5M0+rYqNmJmZUb1el6Tg\nrGcyw7mWAIwoHlED06zpzQDo4jkIgxEMxwMkRQWi0+no008/TYCfrGM2m42zMBBeogkMKsQp8mVv\nQEIJisViCL5PIALYcmOIckOJhtwDsYrJV3ARzs/PtbGx8cazLaVk/4KnGfz76NGjhCHjdzy/z490\nRaNz1mc3sDYzMzMql8uJag3UaUmBObh39opCqVTS4uKipqamtLm5GdEL90IpfXp6OkrF/X4/SH5b\nW1vRAYwzdH3g8/1gI9ePy8tLbW1tqdVqaWdnR61WS7VaTdIgLcHQ3r1796319NbSCrw+jS8I3yhK\nO9r0AnjolQX+jkiADSGN8HDfh9aiqHg9Jvyi+DSGdTodHRwcRC5PCkI4mMvltL6+rsXFxUgd2Hz+\nJWycnJzUq1evtLGxoXw+nyjVoRRgLkQNgLBchLWU2/BmRDydTiemUAHcNpvNiMy8EiANlOr999+P\n8Jl29Gw2G5RsQn7ITJ4Tc38868zMTEzPJsS+d++eSqVSAJx///d/r3a7HfmxNEzvMFD+zNPT0yoU\nCrp3757efffdRLRGFcPLq0SkPJNHICiuYxCnp6dx0LCPDnTGLf96pUEaGCgM5tHRker1elDPcSo8\nlwO3KDhRqEcJHs3t7u5qYWEhmhU5L4OUttvtqlQqhaPc29sLSj/niII9nZycaG1t7YtbynRE3y2y\npEQk4cYAHIBN8WlEkiKsolsNcAdh5osQju8dDJKkra0t/fjHP1a1Wo35hfPz8/rwww+jUYYUCG7D\n8fGxnjx5kuC7S0kmoqSgTv/mb/6mvva1r0U7uSPkKD6/w+u4JwSMZN0IexEUr9FPTk6q0WioUCgE\nAIbRQUE4ao76OYNnpqentbCw8NpYMwdxCYeJaFjz/f19vXz5MkhfNJM1m01tbm4GSQ3D4BHC+fn5\nayU3mJq/+Zu/qXK5HHM1Aa45BwKZ8uhDGqY9YAEQ0PD8NI85OOvyOIohjYK6Y2NjOj8/1+rqqlqt\nVhC92AdkF+fk/AtkirXA8F5dXen09FQPHjxQq9XS4uJiEJuYOs1eIEf7+/vRu5HP52MAbyaTif6f\nt71ujSEpJQkqXp/13Mijhm63G8eaNRqNWBAvT8JwKxQKceQ7g104sAaDQXjmOTTKub6+Hu+fTqdV\nqVSCBITxAUxKpwfNQ5QAMW7e6g34dHFxodXVVe3u7oZXYz28pg1QSZ7LWqTT6ehk9ajIW49HBYZc\nHyMINtPtDjpUFxYWoqsU2i9rWCwWIwx2T+sRDTMe4J54/wn0XZQdA8bPPKVgD7yjksuxGIbJsEbu\nbDBuyJAruvfJ4JmJoIjUHGBkLXEmVKOQXb4wxhMTEzFxjP1xViTyjtGemZlRs9nU06dPE2uGEeLi\n3NO9vT1lMplowCN6rFQq2tnZCSf64YcfamNjIwYm3dzcRCn056lW3IpxcC/hKDesQ6erSsPJNigO\nMxC4MBDUjrH+HEpzdHSkfD4fo+u9H2O0Bg7Id3Z2Fp52fHxc//mf/xmoPy3ZCA5hPMbCPY33OFA3\nf/r0aYSThL9uGKi5e0nNc2wng/na8Rp+jkC22+1I4dzY9nqDqUMcBgOOQ0twp9OJyIioxdeL0J4U\nDuFcW1vTe++9F15raWlJ4+PjMZ+CL68UuEI6UchTDWYaMGm53W7r4OAgcbK6N245bkGUhNHxUqmX\nQN1RsFaQ3bzZatSpuJy6seP+iR74P/vx8OFDffLJJ1Fy9HZ7J/wBhINJEIlR5oYANzc3p4ODg5h/\nCh3+5cuXKpfLPxcJ6laqFV6Pp3LhSKw0FDxIMz5BhzyOWQeExmzI5ORk/B8Go4/0IqfkM/HoDlCd\nnJxofX09QCOsNOg7Qg2f/erqKg6ZoWOQZ+UipPvBD34Qo+e8g5J8FDCM/BMPmcvlgirr4J1jG9Lw\nzA0ihFKppJOTk+gzwHuC6jNRCaCOlKvf72t9fV2PHz8ONqs0SAXgkCB8eHRwmevra/3CL/yCFhcX\nValUEuxUms4wruw5Sjp6ZJykGN/GcYIwBKn0tFqtGIZLJMXaYXCRKRROUpRcUVzHu1B+Ikb6LVhX\n31s3LlKS5crnwApmQvrY2GC0H3gDX6RvYGTuYDAERHiUoovFYgDMENCQKaZh04D1ttetGAcWkRvm\n4akkoHj9/vDsAKZN4wEctCO8BXUn95QUoSvX+Ph4nPeAQXBFgjhEzj87O6t8Pq+FhYXo6we0g6Ph\nBqlarYYhARDitUQrOzs7Qdem8kFTFoNbOTjGOywbjUZMxnaEnr4DSSEAKEIqlQplwwgxz+D6+lrf\n/OY3o/mJEhgCTarkU6tQSLpDKUtylgNrIklf+tKXXjvVutlsamtrK7HXlPRQSliPpCgYFA6yxbj4\nwNl0Oh3H1AFSZjKZBJV81EBwMfznTV7Vo4NCoRCELscvvEw4GgVhBPv9fmJtcUJEj0QXDqw7WC4p\nUjgiUuQdY+mVGWkAfp+cnESZ/P8Xw15QPh6czeMIe/J5rCEPRSjMomHtR0O3VCoVoB45LiWzQqGg\n3d3dmHFw7949FYtFTU1NRWpAYxS5vTSIZCjv4T1GOQ2cuAR2gtEAR6GasLW1pVwuF0etHR0dBZDY\n6XTCW+BREE7nJBB1eXWDPJzSl5cbW61W3Bc5OevFcfbkze5Zye9JBTAylGdRZgSUUBfqOyzIi4uL\nCIn39vYiTAdxx0izhs45QFkmJia0uLgY+42zODs7iyGzGBJPzXq94aE8KCMpGzjW/+VR+SycAsrm\n3I/Rf0kRSNWorGE8R9vkPcXBUdXr9XAOpETdbjeIesxQ9fYDB68xNGNjY2G8f5604ta6MtlE7/Dz\nRcRyYpXdiroQeD5JWlEsFtVqtRLTmLLZwbHwL1++1OPHj2NKM8pEV6QDQqQx/B4jwsJDaeZzU6nB\nSUVzc3Ov3RdXOp0Opd/b20uQibyM9fTp0+BCpFKpSJ9YC9YIGjH3QeTT7w9OJAeEdUCMNOvq6koP\nHjyIe5qamtL+/r7K5XIcANTr9fTw4cPgWLD+jtuA1hPB4MHZXzggzMT43ve+p1arFXyIlZWVeA/3\n8uwdijY5OamvfOUriZPVS6VSHEVfLBZ1eHiofD4fITlnmnDvjgd5pIg39nIi+8XeOkmJ//OcjscA\n1larVTUajYh+uB+iPIwBew4Tl6gG5iyGcX19PaJmSpy/9Vu/pWfPnum9997T8fFxjOIDm0OGwW1S\nqdRbn1txa6dsj1pPR9Cpszvyz+t9A9wKAvBdXl5Gw1U+nw8vCzvywYMH+vrXvx7Hz21sbCiXyymd\nHgxHpXMNA0FzEW3Z5IU0+ziCLSmATDw3KYHf5/X1dVh9Qn+8DXwLGnhyudxroKTXyFFqhs+CB4CE\nU07jb09PTwM7kBRpz+PHj/X9739f5XJZjUYjqg+uDJLCSGEcUCw+DwOKcrKGRAhEN7w3vRfLy8va\n399Xo9GI6MjXBGAYQe90OqpWq3H4ULVa1eHhYWKIq+/LqLFBfvCmOCIn3Hnq5pEFbffsJ+/tKcDk\n5KTW19dVLpdDhrxRjQvFR174nkiXa2xsTHfv3o11OT4+1srKiv7qr/5Kq6ur+va3vx3HCJCOSQPn\nNzk5qXw+H+Dx21631nhF0xILy8wDFMtbmyntYQ3JPx28dNSYwaYTExNqtVpBCJmZmdHe3p6+/e1v\nR6mHcxbJ9Rnacnp6mshDiSwajYbS6XR0TWLYSHFqtVp4XfgIXLwGYhKhLkLhYFm5XFahUAjQTxqe\nKXp5ealisah3331XkqIawcYDHpKmEDU4DZ1rb28vBpF4GkNZj4jO1xnPSBs368bwGzykGzMmazPG\n7PT0ND6PCUX+/i4rKKCDlBgs5lI0m82oAPC5zqHgZ4DhOB+vGGEYRolTPDv0dj98CTmTlDDC3C+R\nKRExDVfu+DCklECJOvlcZAAnx2d2Op0YjVetVmOgEMczHh0dxV5ks9ngXrztdSvGgQXe3d0NoM4B\nO86EQFAcHcY4jB5H7q9dWFgIwHF5eTkYdHzt7+8rn88niFgYJFhm/X4/gLpud9DXsLKyoq985Ssq\nl8sRomMcEFgHtwDFpOQgV4A9L1XiZQmpK5VKYAEIOWPapEHV5d69e5qeno5xZs4QpbuTdfRKEOs2\nNjYWYW8ul0uwRzHOXnPHUIB9+AnmeHfW3SseKAhVBa7nz59reXk5huO6Z+fz3Hvj5blH7zrE8Lpi\ns57sj7c2YwSd++F4xKhx8Aul577cCI2WM3kOIlhAVd8DSVGh8rXGkDthj6gCp5JKpfTJJ5/E+2Uy\nGX3/+98PZ8goAEbsfeGrFQz54JCOUeKHb5ZXH7rdrqrVqjY2NiJH63a74XU6nU6kBoBjTDYmn5MG\n/ROS9N577+n8/FwHBwdRgpycHJ5m3Ov1gjcBt6LZbAbHAoALYZKGIagbPQSG7+nXwNpTdeEZsPYA\nbkQ2GDJpEC3893//t37pl35J29vbqlQqWl9f14MHD6Ls5hED0YmPiGPNs9lskKjAS5g5kUqltLa2\nljhGECUYGxuL6MvnPfAc8EI4uxTcAQP3ta99LdbCuQn8v9frRclydnZWtVpNs7OzCaCRZ3AjIA37\ncOBXYJi9GsYa+JAW8BS+9xTHcSHew1mWvd5g0ne9Xo9zSf2ZqHS58XNlpRzM55HqeNndWbr9/mA+\nyZ07d6IHJJvNanFxMZwTZ5LiHNyh/qzrVozDxcVFzNQHrPGNxUr6fD28yN7eXgw8Jczjgr4LD4GI\nwVH4bDYbVNTLy0t98MEH+uEPfxj3BfKO8DFJiijD80/HSVxw2FAUiI2kskJ5zwE+EHMXIF4Hyo1X\nkxRG7d1339Xf/u3fqtlsKpvN6ujoKIFsEwVQA2eNEWYH9/ic4+PjGGueyWS0u7sblRrP2angYNx5\nToRwYmJCu7u7KhQKOjw8DAYhHJS7d+/GvnB4D+vHehKpAAjjTfGyPv2a5+WipAm/QxpSnTEUo6Ql\nUi+uUePA/72k6/wGSt5OrEIxiWzeVDFwUhhRjcuUVzPYRzdk8IB4zk6nE87XDY2vz8+6biWtwOuz\n6V7j7nQ6iTn7hIssNuUhPKKHgGNjY2q32+p0OgHKeCh9fX2tdrsdjVXT09N6//33tbq6muhvIMrg\n7yFJEdGAkVxdXUXnJtz8YrGoYrEYZCuEz3sk8IjT09NxMtforIa5uTnt7+/HbEf3bNKQ5Xl8fBwe\ntdvtxong7XY7ITwoL9EMQkLdnnWnmxPDkMkM5m4yq9FD/W63G9Oy/CKMJlQGB3Cy13vvvafFxcUA\neonAPGJkPF06PRjqAxkLGfLKA8/P+vB75MhL4c4lcKLZ6FGAGBvnmvDeyC0Gn5/Dy4Hg5D1AdNl6\nlEP06RUuBh5TDfPXjRqvi4sLNZtNffnLX1Yul4v9pKfGCVaOvbzNdSulzOXl5Y9QOsAdaShU5M0A\nf4BeIO/9fj8mLfM6NqjVaml8fDwGreLlUExpaGV7vZ52d3e1u7sbs/kAjaRhDikl+0G8bOheHkyD\nw20QahTKFQtjcXNzo42NjQCjODzma1/7WkRYlMrOz89jgEq329XDhw/jDE/KWE6RdTyEKMeP0Eun\nB4zM3/7t3w6QjGEqP/7xj5XL5WLtKpWKMplM0MfJ+Sm3YcDwkhim09PTwG7Ozs50cXGhi4sLrays\naHl5OSKiTCYTJUl4LURNkvT48WPdv3//NeKRl/0wJDgNJyBxEdk4l0MaVJnGxsZUKBQSw3gkRZUK\nGT0/P1c+n09EUXyG35OzXNnzfr+vUqkUTofnpNLE3r4pVe10Ojo9PVWr1QpZctyBdeACrxgbG9P8\n/Lz29vY0Pj6ujY2NL25XpisKJRf3NkQMWGbSB2bjHR4eqlQqhWfGk0uKqTfFYjE8Kvm/VxkIe09O\nTuIsBAyMlzIdrUcBUGwMgDQsz3Iv3D/K6QqK1ymVSnG4qnuhsbGxxBTpqakpzc3NhTGRpOXl5RAW\nzvPo9/sJPgRfeEEiH2nYnMUsCchmZ2dn0YjF325ubsZBv6lUKroXia78Gf0L0pMLPAzVSqUS6+Hz\nLFBI93Z8JtGP8wO4+v1+tPH73jkwyf54GRwDgnK2Wq3EidXgR15Zmpubi2rQaKXMS9NvkvdUajBU\nCBq7Xy73oxUb3o95kuwXxiefzwcDk4rM+Pi4Tk9PdXFxESXVnwdzuLUBs1wOIEnDmYaSImze3d1V\nq9VKDBmhtOnDUXxoCWdFIOCAfn/6p3+q2dnZCFk5YMejFsJpV2jyvPHxcbXb7ThOnZy+3W6H8iCY\nAEg0hUHFZkIQaRIgoQsQgC2kJQyk06RnZmZ09+7d6CS9urrSwsJCNFMB1BKdOegrDRRwYWEhEH9O\nj3r58mVUfCQFkAlj9Pr6OjF6ndya1I2feUnx4uIiSEH9fj8U0Ks4u7u70RfgKSEVqFFwThqmSxh0\ngLhyuRzlbt6n1WpFJEpFiQgyl8uFLPnJ66y1A48OFo/KLnRzZOBNX1RmMAaOqfFeLpP+1e12o6Gt\nWCzq/v374fTcOJIi4wDW19fj+MG3vW7VOPgm+88I4yhfEcL5KdPSEAXGm0OAciahpyzScDgpLMFm\ns5kgY/lrpWGOjyDd3NyoXq9HGiIN8j7OPiSXxdD4AFSiH5TdqyyOfKfT6cAgEEQqAl42m5qaiunb\ny8vLWlxcVC6XC2xFUiJsf5PXePLkidrtdhi+6elpNZvNwC4kRRQDzZn0x8+a8AjOy7esnx8dn0ql\ngqjkxrder8fPHVzs9/taXl6Og2lcbpAB1pAIbGdnJ4hcvd6AiMXItNPT08RAFwwUz+YAOeXD0Ys9\ndnlJp9MJwHX0tdyfp33+O9bQn+tNxqXXG55HyvELlLwxoI6dQGOnovG2161UK/L5fOL0HcA1L4FJ\nQ+4C+RYGA2KINOy6w0p6A0q5XNYv/MIv6Fvf+lY0LP3whz/Uzs5OpAREGnyGpBAmFPPm5kZ37tyJ\naEQaDnIhJIYy7CBYJpMJi+0bA7jX6w3ITnfv3k3wATCEh4eHQbclD+c58HwQvTCEZ2dn0YgE3Zap\nUKQ+YCHT09P66le/qn6/H9OzqUCcnp7q+PhY7XY7qjekc+AGhNzb29u6c+dOpDSkMPS2ADC2Wi19\n/vnnOjk50crKSihit9sNLIRKwvX1tRYXF3V+fq5f+ZVf0fb2dtw/Rhi5wWF4rR8A0LEAPmd0n4h0\nSCl84Av34tRn5AQZ9s8gogCAdQyCtIT1RIFvbm7ipLJsNhtVmXa7Hee6YDgoX2KId3Z2lEqlovJX\nLpfDALK2EO5gsL7tdSvGAWCGTXVqrKcCXmZiY30jXKHJZykVcibCq1evgkU3Pj6YenxxcZFA3904\n8LmEZTRovXjxIkI3XodAOyvPMZRUajDMFsF1klK/39fBwYHy+bzm5+cDrMPQNRqNiBRAuN0zZ7NZ\n5fN5ffzxx5qbm9Pm5mai8Qsg6vT0NMbl+c/r9boqlYreffddPX/+PJEWkfJsb2+HgEOiQekcPZ+f\nn48SKvvZ7/djRiTP3m631Ww2dXFxoYWFBe3t7YWS+MllkmLkXiqV0jvvvKOjoyNVKpXY51E2I9+7\nd3WwkPXzfhn2LJ1OJ2jbzgchQsOoIEeObXA5CcsNFfdA2gNeQHs1kSSMRlJEnNfo6EEqXmAk3B+R\nwszMTNDScXCkmaOVpf/rupW0gjCefLpUKqler4dlI7dzIM9BKK8iYI0RDMJ1SmRzc3PR/SgNc/Xx\n8XE9ePBAv/d7v6eFhQVNTEwEeIOyu9ARkaAQhL1OauL15JEeQZDK4MU7ncGchdXV1XgW8l68D17j\n6uoqwsbx8fF4L1iNMCmZ+kNoncvlos6NgWH0XTqd1je+8Q3t7OyoVqslgDWiIYwkfAIOz6H0yRow\nn5Koj5IlQn51daVqtar9/f0wfNVqNVI+WsphV3LmRb/f15e+9KUwCBDGmNXQbDbjPp0wRBqFAsEX\noUROORzlvrm5iQNyOp1OHO6L0WINR3kslLL9hHBpGPGioMhLNpsNQz0+PpyDen5+HnMdWH+6eZEn\n3pd7xABi8PgcyuLHx8fhcNj7g4ODBAnuZ123NiauUCioXq/HpOder6e7d+8qk8lEHkUZkBIcNGGq\nBQ40+jRgSp94wlFkenZ2VrlcTg8ePIjDZDij0KsQzkNHMFhk/gZWGwrJa/FMCIZPb0KQGdRx9+5d\nPXjwIHL+dDqtZ8+exfAVvBFzLfP5fBxsm06ntb+/H+VGN2isJWU5jBT8jidPnkQEQKXA/94rQpeX\nlzo5OdHu7q7Ozs4ianICEWtH+7QbSw70wSBKQ087MTERzFPWpVgsxgE4KObFxYWeP38ejWlTU1PR\na8Ca46VhbMJRoQuV0iryw98wMAWF5DVwbADJMSZ8wYSkmY0oFGPk1RwcDvLqpDIIXzhMGtnq9Xqi\nXDz6flwMGPaKFHyH09NT3blzJ5zL21631lsBoo5XJ6QkxGKRHEjzMtZomcpZZxBQRptMiCyur691\ncnKiH/3oR/rxj38ch9r6QFoXCIwKnhWBcEYmxgQFcyINswog+vA7PGWpVNK9e/cSzUqTk5N6+fKl\nlpeXA4/htRx20+12VSwWI+QlnHdAitHnRGEo8ocffqinT59qcnIy2JWsKT0LVFrcw3r6Q0QnJcHh\nTCYTxx0SdVSr1eCCzM3Nxe+9moQRxMPSd8Ga3dzc6P79+5qentZnn332mifHAGaz2ZjlyO9RjFqt\nljBcrMvJyUkMCHbimCszn8Hv+v1+HE2AEedvUFAHK3FUb6qIeBpNavnw4UMdHh7GyDfk3qtho3wN\nx+jGxsYiUv38888TlZu3uW7FOBA2UVKsVCp68uSJvvKVr+iXf/mXdf/+fS0sLKhWqyVCdlBjZ6vh\niTEOAFoLCwuSpEqlEpOMqtVqAE5OHCKvBsByAZifn49mGQbUzM3NqdvtxuCTP/7jP070gLg3HTUW\nvG8ul4t0AC+0+j8nQmUyGe3v7+vevXuRonS73ZiNAFnp8PBQ29vbWl5eDhCTFAEsZHd3V5ubm5qd\nnQ1g9Xd/93eVTqeDRelpG+uJsXMSmFPVf/rTn0ZbOXtCt2wul4vx6ZDC+v3BwcFjY2N6/vx5dBlK\nCvD36uoqRqlBePLyLSAnhsvTCDe4byojSoOKiU/zQq7Agfx5IZ5dX18HGQxD6AqYSqUSKYqnub62\n7Dt7470obqhchq+uBqdzHx0dxRkUx8fHiaMj+Xs3zk7iIhrmzNifh+dwK4Ck58yFQkG9Xk937twJ\nxiMLy/xHB3N4WGk4Ig2LLSmsa71e18bGhgqFQqQezH9Ecf34uVRqMCSGHBvgjqYmSCVHhjXHAAAg\nAElEQVT8/d7eXozh+pu/+Rv1eoMBLVtbW6+dd4jAsImAXFCPiZrm5uYCfb6+vtb6+noYIieDjY2N\n6enTp8GGpFvx4uIipgxfX19reXk5BLvRaOjm5kYrKyv64IMPAvdBuPGyCDBTmQh94TiAWczOzgbY\niWHhGZ1swzj073znO/rggw9Ur9f1la98JYFReNrC3sC/ILUE/3DMhnTDwUeMFLiDGwfwHJzBqAd2\n3oIPqgEPwJj5ProjcCUlAuL9PGUbBUf9s5FhjzxpwSZd8Uia1xHZMQv09PQ0MYOEdu+fZ/r0rZUy\ny+Wy5ubmYuQa3oMNJpfc2dmJyoLz5BFqB6KgLWezgwnIBwcHkWMvLS1Fcw9/R72ezQGwa7fbsbGU\nlarVavRtYNiYdXh+fq6bmxs1Go3wiJ7b4e0lxdgwaN7OtsxkMrp3716cMYHyszbSoF34V3/1V7Wy\nsqJqtRp9JrOzs/qv//qv4PNXKhVls9m4p3w+r0ePHqlWq+knP/mJVldXtbW1Fbk1n8P6gK3k8/mY\nick6HR0dBWJOKoOy9fvD8zrJ8Tudjubm5oI4BfAGU5U1npiY0NnZmb7+9a8nuBPNZjOiTAbsEkli\n5AEx2VfOMCElo0vXFVoaKrrPeEilUnGC2sTEhNrttra2tjQ3Nxc9HOzraHQCduAVN7+cz0Jkwr2R\nxpGCjqaxrAlylMlkYo4GXbR8VatVSUo0nnW73deijv/ruhXjwOlF0HAJ2QECd3Z24mQoOOE+8AJF\nQhhJK5yAU6/X9eDBg+hFKJfLMcEYRcATYXBAsskjJUW/BCE4RKaJiYmYUwlByQ9QRXB4X6dmj42N\nRd8HkUA6PZhEhfGZn5+P1/Ee0kAgl5eXY8gHvSVLS0va2dnRp59+GiVXUpNms6nT01N9+ctfDgxk\nY2MjyoUIHSAZxoGBLCgJBpSj1lh3nm+UQIRQo4hUe87OziJFQ3HHxsa0uroavAUGydAliuIza8Oj\nBaY5O/A7Pj4ecxOl4XF20tBze6mTtAJPfHh4GHMb6vV6YEuQ39zbj6ai7Oeb8nvkwnWBCAEj41gM\nl6dKXMjM0tKSvvvd72p2djaivuvr6/i//72n5D/ruhXjkMlktLOzExOMLi8vE6ALDwciTynKeyS8\nfp3JZBIbsra2psXFxVgQvPPu7m7CciKUDEwB9KJ6grGi9u/5GkpOnkqd3uvcLiCAXjAPMRydTic8\nWq83YITS24AB8ty21+tF7bvf78dYeFIwKh6ZTEaLi4v66le/qkajEeVM0jKfmYnnnJ+f1/Pnz4Pe\nOzMzE9EWOTLrAY6D8hPiggtRFXABZc0nJycTUSJ7CyjMUXKU+QqFglKpVKQyjjH1er3Ak1h7Tnpy\nBSNiuLy8VK1Wi4lUEJIwCtwTkYikKGcyuwJsw8FBjCRdus6S9HTFFZ7PAohm3H+z2Yw5DO4UeA8i\nUYDLFy9e6NGjR2o2mxEpwBh20hPr/LbXrRiHx48f6/DwMEAX0O3p6ekAsthMV2bC/uPj4wh30+l0\n4ATw2mmdJkUgv19eXlYmkwnBobuQo/QgpiD8DI2RkgsL2w9vmk6nI10AqCLspcGo1xtMaWamH2w6\n7wZ1XIHOUWlwEKqz4vAKhNVeJgPvIBff3t6OkiYCBy4AI48DYvh8WIipVEp37tzRs2fPJCl+fnV1\npTt37rxGRKKmfnFxkSg512q1SBsoGWcyg/MpaHFmDXkG97qMh+PeKUtioFAwDAYUZud5EJYD2PmY\nNwBiojQcFLk/BtJLpaOA5miFygFCKWkg/ItSOnhTu92OvcUQU9b0yI3fganl8/kEJZ0oAZC9VqtF\nafptr1sxDlQAoNUSiuP9/PANvDZKx0JQbuNvAe3wjMxXQPEJPVF2vCxKPYpf7O7uqlwuSxr2V+DN\nOCiW8h9endkFAJDSsIRFGCsNKd+Qm0gN8Ai+ueVyWa9evZI0HIJzdnYWbEFCeUpuPhvBeQ+cfenl\nM9YUMJJ+BEa51ev1RFMVmM9oVIQRA/Ql/8Ww4/24NwySn+0JcHZ9fR3Gggul8PNFbm5uIv/3ZyKq\n4PAXfy/SR48mpGHpG14MaQZyiBPo9/vhzUln2K9RI+Gg+eiz+MWeHxwcqFwuhyH0SVxUiZy9icxx\nD5999lki0gW0ZX/ow/GS/8+6bqWU+erVqygROclGGk7EASgCYcarETKPjY3F3+dyuTjjQlLUkY+P\nj6PaUSwWNT8/r2w2GwNnyX/Hx8dVqVSiI/D6+lpf/vKX1W63w5M7FtHtdlWv1yNqIUIAmPRS19TU\nVMyVJPR2LEIahrxeCnWFB/RECWiswhji0WlH99yVHgoOf+FCwXjedrsd0crc3Jzu3r2bKKtCX8fw\nfec739Hi4mIIItUNQnHem34PlIeSL+dhSMNSHsaE9XHuCPuKoHO62OLiYkycRpnZIycu8YUjwRH4\n5eAvUdnNzU209AMK++X9Evx+NH3AYMBg5XKDRnrjThPDAfiIXKfT6Ti2wKt3rBHPt7CwEB2cZ2dn\narfbb3yG/+26FeOws7OjVqulra0tzczMJJiEhJaEbxiC0S9yayjJzBpEAOv1uh4+fBhzAHK5nMrl\nckz/TafT+p3f+Z1oU+Z9qaSsra3p7t27AUimUqk4Vm5nZ0fb29uRIjAglYiAzcET4mkcK3kTEYd1\ncE8jKaIpXusMO3JfpgxBvSaf9q5QQmlCX+/cI2SXBjM2X758GekLqR7cCcBjQnY8GGkVzwZgBs4g\nKQ7P4fxMH/FOW7mT3XwiFYaI9Z2cnNQnn3yig4ODkIXRUh/34hyE0bKyv250f9hXjxD8NeyJn5Ey\n+ntJCXzDL/baUwiPIjGI/vzgQVSqMplMYowfoPmrV6+Uz+cDL2PY7NtetzIJ6ld+5Vc+AlW+uLjQ\nwcFBGAVwCLwACuaK55uKQHW7XZXLZdXr9WBezszMaH5+Xo8ePYrw2I8gh69AHd9xCwaqIiCEdOAR\n9DigdFtbW3r//ff13nvvaXt7O1HyIgRnTD4KgDFzhfKog/QCsJRZkJwLiTJ2u10dHh6q0WgEdZnP\nBAegvu2piJSc1+j5MYYHWjP5K6w7ysYcwsukYwwNBoNDgHjf8/PzGCpDlOGsQK/X08+BPBBROmrv\nhseVlT4QKin+WZDOkEEiIjAnJzV5HwPvDVjtGAScjFHj4KxX1holJp0BAKYCNRrpgMt5eRN9uby8\njH4XIi3me8BTmZycVLVaDe7GD37wgy/uoTYAJ5IiXPbRYBgBp8fyhYUlpCdnZXGkAaaRy+ViIAup\nB8ouDacO+3yFo6OjsLJgARgHqh4ONnIvrVZLf/Inf6KPP/5Y+/v78X7cEwBSpVJJMNzcMEjDEhse\nGU+IEeQsjV5vcNT98fGxKpVKELjy+bz+67/+S+VyOSooINYMa3HyDWstJb0s19HRkdLptObn59Vu\nt6MmT6rF6eVESeTpGDb38tT03dBLw/NRUUgMCYaRv3WQzzEZj4a8pEgEOEpbdwwAbMIrDqOevNfr\nBVbi+BH36sNiPHrioisynU5H5yt/CwPS+yyKxWIi3UJOAd8d74BlnE6nQ+4g5lGmH50K/qby6v92\n3Urk8O67737EZoEMEzpJCs/j4d2occAgOPFjdnY20FvKYHiCRqMRQ03w/oVCQbVaTbVaTXNzc0HK\nIrSjnEioTn7PhvBzBPjRo0f65JNPohIDvkDEALff2Z7SEKTyMBQPw5rAHuRZqD6wBhcXFzGKn4oM\nWA1DUlDEUUAOj+TKh3JfX1+Hh+MkMZQllRq0pAOSIczSEDxzXAQPjjJ6bZ+oAs+XyQzmK6ysrGh9\nff1/HUc3yjFgPTFMlFSJHLlHIgLWgLSACMOjEORN0mvK5SVNSQnGKoOHqYI4IIsjIGIjxaI6gpGd\nnp4OINbLrXxxchspC7we1h8H5WnlJ5988sWNHFAYQszZ2VlVKpUEEwwPN4r643GcaMTv+/3BjIS5\nuTm9evVKy8vLUSrz8xLZkP39faVSKT1+/FhLS0u6urrSixcvdHBwEPMPS6VSWOyNjQ3Nz88HwYaw\nsd1u6969e/re976nDz74QP/2b/+m999/P07c7na7cVKW55x4COcKuNKAA5A6ATr2+3395Cc/icoL\n8w3S6XRi4jHrx8AWPCef4Z7EvRkTqFA8Kjue0xMlAC4SVUxNTQXY6A1MCD6hsCsZxh+QGCHO5/Na\nW1uLdez3+8FDIZWhrAzXgfM4AQiJ4kaVnn1wNiKsXD6bCUuE9eyV8128wsT+8XxEtnB2eO/r6+uo\n6pASca9gVOwBRgT8jf2jG5g14LPY53Q6HQxeIixG1b/tdWskqGKxGKGYz/OThnnkmxBlDy/xrISC\n7XZbhUIheOXQp4lCUArYibwXgre0tKSjo6Oog2MU6B94+PChdnZ24qCcTGbQEruwsKBvfetbevDg\ngf7u7/5OT58+1enpaWAECIwbN0mJMJYLA4I38jLU9PS0tre3NTk5qe3t7TCMpDoYGO4ZLgNgpTTM\ne0dDTO4RAac0y+sgfCHseDVne+K1WGt/f/6e9mnwJf982IWsrTTgeDDeDYfA+7fb7Rgyk0qlglkL\nF4SJTqMRh6cVXg70dYd/wHv7e/CMHvkgi+wF8gn9msgHcJMozOUbJ4bBgfZM5MK9E237VCrwsmw2\nG0QxH0WYTqeDwPW2162kFUtLSx8xVIVJNjwoXxcXF3rx4kWQlY6Pj2PirxsFD8lRRDwgNXEPN1+8\neKFSqRRpDArKvRwdHQVYBdiGtyPv80Ec9ANkMoPJSdlsNsLjVGrQh4Dibm9vB0pP6oLgkRptbm5q\nYWEhhJPnYVL29fV1RBAQhjAENzc3+sEPfhAHCDO0hcgCivGbsBxyaz8yjrWFWwEWgnLg7Wi0wkOR\n4nAfDrxSnnUj4orPl0dNqVQq0ajloT4dloTxGFRvwOILnIV7Ioqk25OSH2vP+zIWD2fC/QL28X/W\nZ9SAUCLF2fl8Df4lKkJ+6ENBL4i+eG/+9ZK4T/9Cb3xwTCo1GMzzhU4rOHgDXACKJ4vIYj169Ci6\n9bydFmVyIcbzgHpLSQIS/IjHjx8H0EZ9/ujoSGdnZzF/D6GtVCo6ODgIwWAjEXZp0HXYbDbV7w97\n+9l0Sp14jXq9rrW1tRhQW6lUEkas0+moUChEeEsUAYFJUkQfuVwuRqdhGKempjQ/Px8hLnTapaWl\n8FIoiufqCJrX4T2i8VTPOQJEYawZrwNjcGyD773RS1JCwNk76vyExnyeh+4eAfj7e9pIwxivGU0B\nCLH5PA5gBmz2CgpXrzegZzuNmv3AuJKGeBSBDPNcLrc4CEhkY2NjWlhY0MnJSQKLIyJCd1hvng8Q\nPJfLxWHOYA88zxc+reCsSSwzU3T29/cTk5Xy+XxMnAaUYQGc18+FwCDogGleo8dC42lgNc7OzsaJ\nR73eoOnos88+ew3skobCmM/nA13e3d3VO++8kxjX1e12Q9EhZRHukXMCGrLRtHFjDPi5I9cOMOLJ\njo6OdO/ePaXTaRUKBTUajTgQh9ZqzsOUhrkyuARl5VGWHV6cFMo/F+FnTzqdjk5OTmJvEXqUB3Cu\n3W5HqY29Iv8GZec9fMI1aQD7PDs7m6AMO0blKUiv14s5i04SkgZ4TbFYjKMA8PAuWz630w0MeA59\nLsgK9859k95hGDhBbG9vL2Y7uqHB+4P3EEURDTpGxXvD8uV7IrJMZkBT97L42163dlamg2MoRDab\njRFs5MoYBGnIfBxtc8ZrwBaD4sqiIsySouqAoKdSg+7BUqmUmFaMEHtYLiUrCoxs297e1vvvv6+1\ntbVorPJQudVqRZQC3+H+/fs6ODgIZeRi7mAul4v7Q/DJST2UJ+I4OTmJLkJALf6dm5uTpDizgeG1\nbhxQFsBAPJqXOr35Co8FJuKDUQlzHRM5Pj6OfSfl4j0g51Dm87DZjTNcCwdUHU9xvobjBxh77tUH\nFZMK0YPj3p73RCExgp6KkYKwZm5USD3S6XSkkRjVra2tRFSE8mMk2Asv7XsZny/K7XQNO5cHhwJd\ngEj9ba9bwRyePn36EYuKcJPruYUkT8byUWtm4zmxeRSwceYflt7nReDNpKGyE86en59HWYtFRjBH\nL/pCDg8Po6MOTADK8uHhYVh0atCQg0Z7633DQeUpg/X7/QjhQcK9NwOG4ObmZnhH72CFAUoUgREB\nQ6HkOTq7gRwYGjHri2FmkjSkJkBNSYleBUf+wQK42LuTk5PELAgH3xB8oh83XOxpJjM4Uo/eG/7G\n8/9Rpunl5WViejiK6BOU+B68wHEEnJRjW8gX3bIYKcBc5oH4ae5cfvoZsktk0u8P2ur9mAMvHxNV\nYTBhxlKx4N5fvHjxVpjDrRiHXC4XPAfKXiwAueLZ2dlr49pvbm6i38FDLcL22dnZsNBwJZiAIw1J\nIP7+nMCEZabrcJQp53wLyn0YLMhF0Kix8NwzDDb4/5w1QZSRy+UibMVweB0ez/D48WN9/vnniZTo\n+PhYBwcHWlpaUi6X08cffxzvhUBBtPG2dtILjC9RCtwEQvp3331Xd+/e1czMjBYWFrS7u5u4L+YR\nwOJ0kLNWq8WaUX1i/QmfMQJOlNrc3Iy6POkj5Ug+dzSnlxQVCnACFKff7yf6LCQlnAcy0+/3NTc3\np+Xl5dhDjMPExETgO9PT0xGlUYGQlIh2UFIM89nZWcgMw5JHow4iE5wc7wOF3Tt3iagoW4NnwMFJ\npQYna/F/ypqLi4v693//9y8uIEnrLl4BD0pzCELsVjNu+H9KNd5XwL+NRkOXl5d69OhReGw8DNYf\ni08UQQXEw0WE3zkWgKCQmwhpMXKkPlQ4oP7m83ltbW0l8nSfWJTJZCJCICTE+15fX0cUcXZ2pqWl\npfjd1NSUSqWSPv/8cx0fH+v73/9+nAyG8pM7NxoNFYvF19YRpZ6dnQ3jRS8K67S8vBzELiYyERL3\n+33Nz89rZ2cnqgbkvuwze+DRAOE/a8kasz4ceAPWwfuenZ1FOZRnGWVVOtbhQCXsV38dSuQGCFYp\nqYBjDWA9REhEil6R4dk99cBZ8ZpGoxFKjRHGMPj9ZzKDvqLDw8MYKgw+gX7QsTxa6uR5aRik8Y60\n/W2uW4kc8vn8R1g+H8qBwUDhyNtRqKurK5VKpRh95l7AFQ+84Pz8PKY/IUDValXj4+NqNps6OTmJ\nIakYIbfwhNCAfhgQ8kiii36/H+PoTk9PNT8/H0ARzwj12Q9vyWazKhQKr4XBXvNH8DKZjDY2NrSz\nsxNDWECkZ2dntbCwoJWVFR0fH6tUKkkaGAAUinAVgYM/wHPT3jw5Oan19XXlcjktLCxoZ2dHGxsb\nkhT0cfaHTkxJEa6DHZ2dncWJVc4E9fIiNGyUBjDNIwDHLVgf3svvBSX0dMWp1/Pz88FfIZoBKKWi\nxPOTKriRoR+EwTweyt/c3KjVakXjHqMHkBvSBMq4eHgMhhtGDix2QJpnYW2RZa92+GsuLi5UqVT0\n4MED3b17Vy9evIhBy9lsVv/yL//yxT1lmxq4M8kINf0gFDy814jX1taCPeYNNFQD9vf3dXR0FCdU\ngyifnZ3FkJhMZkAvptcBQWGghn8eBgo8BC+G5/ef9/uDA1+9fET+SoripTFGpaGwlAAd9XYl6PV6\n+sY3vhFei6lDkMrK5XKMl2PQiZd9qZWfnZ1pdXU1CESSol2doTgMTDk/P9fGxkZgO2AXVH+4Lyfr\nQN0mXSBiYz3dMfB1dnYWw2gIxT2H5++8PCoplBj8wUly0pCFurm5GWAkF5gWhp32dtYLzEQaKF67\n3Q6uCe9LlEV5fn9/P9IU6NNeOqUac3R0FFR/N5i/9Eu/FDMdXPlZWyIcN2A4GvahVqtFFW5tbS3a\nAjCEb3vdSuTwzjvvfMRiAcA5b8HrwWwai4FFpcR2dnYWiuVgkg+CSaVScYrRxcVFHJ6Lt/H+eQ9X\nb25uotsQD5fJDDoV8Qrks2wYcwb39vYip5YGHhWv7qPl2u120IOpsHiFAOEEOCRnBSPAKFF5gJcP\nqQcsBMLO9PS0crmc9vf3lc/n4+9J7VgPwFGMC12YfA5diPl8PpQYo016Mzs7m8AHRvkK/hnj4+MB\nluLtUXKvWvhrAYkdrwELgCjmxgtZ48vZg8hdo9GIoShgO9wLz8+/R0dHiTF+0hCk9tZoZJf9hNLv\nFQ5GIRKV+POOArgYetYH48Tzjn6uV56y2az+8R//8YsLSEr6iJxLUmKBEA5+hmUmBGWBGfySz+cl\nKZELIkA+TZnJQN1uNxiNkgKEdGqpbwQlQrfgbogoj11cXES5DDSfFmbyvZ2dnZi03O/346Dc+fl5\ndTqdqGnjJYkqWJvj4+NgXEqKHBVl6/V6icNrfWYkxuXq6irmMvpBr6wJRCcvAwKCZTKZGEu/tbUV\nBgMvClMzlUqFB+Y5WBfW0HtncAzn5+dhsDBQPB+yks1mI+LyHJuRe+Tvjk30er1IFzHkGAjSG/6O\n/gxkD0o4JV5JajQaMSreQcdOpxOg+CifBIyHsirUdJd9SZGOuHHAEPh+szekoDgVyG7+94wP6HQ6\narVa+s53vvPFBSR9FDcPlM1mAydAcZ3HwLkLzIaE78CId2l4olWxWIymLpR4YmIiUhkEn43D40nJ\nRhosrSP9mUwmkHny1PPz8/DSksIw8fu9vT2trq6q0Whoe3s7UcvP5/NqNBpxXLw05BQ4MIUgUnnh\n9yitKzcRCYAVr/eKEHwDhM3zftaBi9ff3Nxof38/+i4uLy/Dy/b7/URpj//z+V45kBRRlzTMlf0g\nYAyKKwIRCNEjRoT35Rkc8ET5aMDy/B8jwrpR/YGgxjoQKXm6Jyl6eA4PD5XP5yNSZEQAssdas/5E\nrdLwXFKPkvjeAWQHK4l4AZt9GhjEt0wmEyVfZ9iCDb3NdSuRw6NHjz4qFotRb6fcyMP7gFVH39lI\nXgerzll+CAzCRN2bz8GjtlqtAIH4F5LRKDZAdYIKAp/nYSq9Dfl8Xvv7++HxmXuQzWZDkPDU29vb\nKpVKmpqaCjo1DEvvEwGoI4WhwoICeu2eRp979+4lynl0TZKzEo3Bd6BHhNIXgo1ygP1gJDG8RFxO\nycYjEuoDCvN5l5eXevLkSeTgGGKeic5M0k7Pt4kGvLSMEfUaP3tH1EPU2ev14ns+l/zePS6e2Mun\nVExwEvw9lSoiCBwO+0G0hIEmkuV7WIseYfB/5/UwEdtTBaJCjCZzS4hEKCODlUjSv/7rv36xI4fx\n8XEdHByEkHkoRTpAiIuQu0UlaiiVSonZfXgFwn0sKakAVhfKNgoOYg9IJSXJT3y+A2psope0dnZ2\nIjRGmO/evavd3d1AzXd2dtTpdGLuZa/X09HRkYrFYqQXTgPG+BCd4EElhdJSqry6ugqgFQ/MeqNM\n3W5XtVot6OqUljkxmjIlEQNkK+4PT4iijlKVfa9o/iG6QBlpiR9t9pKGvQ7u/bmYCO7kIQwIlQDf\nI08HWTOwBNIhL3FS/nW5IyTn3E6iEM/5/f65F7qLwQ1QXP6eKBln4BU4jKyzQjHi3KOUPMfVT6gn\nmmCIEZH2zzN9+laqFYxgo2mJkhgewUMir1Uj3Cz2+Pi4dnd3w7qzoXNzc0Fbnp6eVqvViqiB6gU5\nMVbfATOPDgD/wAj29vYSp0EfHx9Hgwx5MnVySludTke1Wk3r6+taWFjQ9fXgqDtq7Kenp7p7926M\neHPFh53Ipvb7fa2urgbT0pF9sAKUVRpWO6gmEAFRM0dRwQDwXJ7Pu5dFOfi9pIQnY59csegv4Xep\nVEp7e3uvpQCeapCWYeCkgbEuFApxj0QErVYrhuE4qCwpoSwYem+cI1Ih2nSjM3oRNfje8p70sDhx\nzo0X7dekHBgmojI3xnwhl17FImLl8koGkeX9+/f16NGjiCKpMHmV5W2uWzEOfmzd4uJiTHCiuiAN\nH9rJLC50Nzc3iROkPY/75JNPgly1trYWwzjxeqMHjrhHI7f2L4wSs/hAog8PD8OyY5zwMpJCKKUB\niPVrv/Zr2tnZUb1e1/z8fJB8MpmMXr16FQAZwk3kQ0qBYNbr9cBUMAjO5ESZXWH9Yr0c2B1VCP88\nLx8SshMC85yjn+VG3ZWee2Q+hU+GYq3ZXz4DY0BUx55h2MrlcgDT4B7+rCg8ntkrJX55Gsl9+j2j\nWGA5hOngFRhNZIhhxqQaRAiOLxH58YWcs6/sg68tBtvJX5KCKr27u6udnZ3ocPaU+H8zfG+6bgVz\nqNVqH+GV6VsnYuDwT5Sew3VnZmYSXwiDU29BgMvlcpBWCoVCYoIRMwYQEq+l4xFYdDYbyywNS5ze\nOovweyjrVFi6TPHQhKj0cJC+dDqdQOLhKRCFkEr0er3I1RFuIgsPS6VhNISAUGIDUSfkHeUGYOQo\nrY4qDY1k5NFOFGMdUCDmU1CNoJMS7IIKB0fv8X8nxrnhcCMPf4TXo3wYFd8DlBbg0g3oaKThJWLk\nki+vojk/gb0h8pQU6aq3/JNq+mc5WOqM4PPz86h4gacgX74nfo98Ds9Lqi0NjNiDBw/07W9/+4uL\nOUDn5OYxCM1mU5VKJRaPEWBv8mxsMKQpwKJaraaJiYnoYwDwA/D0EidAJHk8HszJO86+JAWBeAQJ\ninuVhqgym8aZDc5BmJyc1L1797SzsxOgInnk9PS0Dg8PI/2gLCsNvfHFxYWKxaKazWZ4Vs/5uTAO\nCCkGkPv1dASvSBrC3uDBMaLZbFaVSkXNZjPR/8HneTpydXWle/fuaX9/X3Nzczo/P4/KDHwTlJwR\ncVR+PIL0HgTP7+nXAANh/R2o86jHIzme2426R5P+HBg70h/WaxRrkJQYUgPfwnkgGBYMNk6Kv728\nvIyBxmBgrDv7O7ruPA/RIN+POoV0Oq3FxcW31tNbMQ7VajUovvTQUwKi8y+dTuvw8FCzs7OJujRC\ns7OzE8NSOKxmZmZG//Zv/6ZqtRoKfP/+fa2srOg//uM/QnGloRL4AtO1WCqVwgwtF5UAACAASURB\nVDBAyJIUrdTuIeFlcHF/INPeT4A3dQEDeHMqMJ8tDcu5fAbvPzs7G2dguoA50u0htoex3W43BsUw\nUswpywiUj1XnOjk5iVwb79/tdqOC4rgDr5+cnIzj9SifsrajYKSj79KQc+JpChcdj4CDGEEiSI+2\nUFhfK+SAvXSMwMN7FBMyWavV0vX1dZDqPI/3fQTIdYdD6R4MzJmgvV4vTgz/0Y9+pFqtlojumJN5\ndnYWTo8oDufgDgLH4UOS19fX36SSb7xurWWbyMG9GgtarVZ1dXUVI9YRREJvwnL6EsrlcizW3Nyc\n+v1+oPB7e3t69uyZVldXtbe3F3MPAXYIxTudTpzXCZLuMxNQWJTHCSxefoKfj9DhnfASCKnX8ol+\nvM+k2+2GN4U95wYD+vbl5WWE6URPPn8ABYdX7xwH8miMJNECPSBSkvdB3s7rPTQnxHcknQoLHp+/\nAbjlajabUW0ZGxtTo9GIQ3O5Xxd8PDulX2Z8AqgCZnskgKH0CJE983wegJB9xch4mRXeiw/hfdMF\n98H7bPg8Twdcrr2NgDInpUk/EZ70Eo6O4w88O+uFMQcr+0KnFVi6sbHByHMWyUs3KJ+j2QBh5LrS\ncL4hyjI2NhapCYo/OTmpTz/9VAsLC5FzEqlIwzkKvB4Fk4ZgEyEpoCGKJCXJKgBTTs8eraEj6EwD\n9rM7UK79/X2NjY1pbm4ujKPzN3z2gefDc3NzEZXw7ITfHrW4QLvh6fV6MZ7fvSBC7IAp3pap0+vr\n68HJoH3dUwLWnvdASefn5+NsDxwGkYiH7G6A8eC1Wi2ANl9rB1RTqVSAgDy7v68bEYbgUCVC0Twi\n6nQ6cRydPxvySLR2dTU4mZsemFEA2WWP98lmsxEx07tCaZxDpJkzkk6ng4rtkRbVmKmpqcDbuMfR\nGSL/13Ur1QqOS4ea7D0APAhWmzZZlILNwatsbGzEKDkWnVydTSoUClpZWYlJQ/1+P4RfSqLRIOL8\nLV6P6gCIsufhkgKZJl3hXhAg5hP48W7MHWSTMQwoGxfTrhFoTvimvZvUxmnIRFaObI+Pj6vVakVo\nz/ONYhV4T9ac55IGLelLS0vhjff29hKpiDQs6+FZeZ/x8XG9evVKpVIpDIOk8MQ4jEqlEsbPQUGe\niYtmMaIxemG89Lu/vx+cFuQIY+mYApEkKZY0jJqQOUqRjlGMAtawLqenp3V0dBR0ZnAlIiiexzEN\n9q5Wq2l3dzcAyePjY+3t7YW8cU4FnyfpNdlzw4rcTU5Oam9v76319FYiB3CEQqEQbbTSMAzFe0Bn\nxVtTi7+8vIxTrmHfEUZjNaktZ7PZYEgSmjkC7xssKXLXUe4EoCcL756XcNvJSx6+E856fZ11wDgg\nPM6uY/DMwsJCtKlLg9OvqZjc3NyoUCiE5+z3+zHyv1gsJhh1nc7g5G3auEdzbQfv+J7n4ZkbjUYQ\nugi1UWr+jyFEEXq94VkVDx8+1N7e3mvcCP/8jY2NwEPc4EgDnIHOWtaUkihRJIaf/V9ZWdHBwUE8\nF9iVc2l8/bhG5YohQdVqVe12+zVehZdeLy4uVK/XdXh4GNEckQt7Tirmac74+LhevnwZHBp4MNls\nVp9++qlmZmZCbpzZSTqCzJIKk24it37a3M+6bgVz+OCDDz66vr6Oo96xqFg4Bsv2+4OJzfV6PUaM\nocyOAYByY92r1Wq0HDMBhzZwwjuEzcPRUeoqgjcxMaFSqRTCxWtgFDpJCIUDoUfJwQGcEwGPglTE\nJ/kAgFHeonIAwDY6h5PQ1E88ouTJ+xPWkrM62YaLcBxcxydSS8MDb2dnZ8Mwc4/cZ6fTCRKTlzbJ\nvzGWXvr1z2dvPZznXijDkv7gfZEbjDIl71Qq9dpcS6LHq6urxHg/59l4iZLUj5TAlRAcKZ1OR9qG\n0YDoh8GA3gwYeXR0FDJ/dHSkfr8fvUKkY6w50fLs7GxwZDAsGPuxsbFIJaamplSpVILwh8xeXl7q\nH/7hH764mIOkWPR6vR4TnAizDw4OYp7h7Oys7t27p88//zwR0kmK1mkIJPV6PTgOAEenp6d69eqV\narVaCDQK4WGYlzUxFFjl6+trbW9vR7+/W+FisZgIW0kj7ty5E+2/VDcA53gG6L54OKoPCKg0PEuU\n3DGTyWh+fj4aoIgSpIGhA4tBQTEa0HUlvUbT5fdOJBvFhTBAKCzDdzGKVA6YI0AZ2cf5OUcAAyUl\nMRvpzWc6ci+E7d1uN7pOUVInu/Eviu9hNk6Ghj8vbWMU+J6UCPDY8RqPNn3UHAaOKgH3jzwyeQts\njLmQOzs7kYo5NsRcUwBXHAlTx1gvfk6ETJSD4/Wy+Ntct2Ic+v1+wpNJA+EslUoqFovq9Qa9BtIg\n32Zz6chstVpaX19XqVRSPp8PBULwKBfB6yeEI1Lh4rWEjTSoMJkJZUin0wECUX7EkJAv81x40v39\n/eC6M1ey3+9HZyjPzhHvjGr30tv19eCowIODA9VqtRhbxoh9kGhH0PGAjgGQ/zuO4QLO9+AC29vb\nWlxcjGiAyAMD4PV+vpcU2IM3uY1WGDBMo8rvBgIMwVvKMch4RgzBzMyM7ty5o3w+r/n5eX366af6\n7//+b93c3MQI+MnJyehS5aJ0C/iH8mcymQA4+dxGoxHzMFOpwcEwdDlKQ1DRCWFOviIiJYIg8vDq\nytbWVhho1kBSVCT4DOQaI+PDa9hPohrSFtIuH17zNtetpBVf/epXP/IR64SylBnBE/CCnt+1Wq3g\nsP/xH/9xdDliPPL5vJaWljQ7O6tcLqdKpaLl5WUtLCxIGvAqHIDDuwDwOEglKTgWeA88see8nqv7\nAJupqSkdHBwkgCePHhAWaVD2qlQqCUITxg7vMj4+rv39fVWrVUkKDzo7O6uTk5PgEnCPgG58jldl\nvMKBwk9PT6vRaMToPM/Fiay43pQSYAz8+XiO8fHxOKuB+j0G0tfRUw72AqWAPck+lUol1et1VatV\nVavViMKYhrW8vBxRmfMyiEKclk3axrpxQeQC+C4UCrGOGH9SivHx8SitO97EZCxp2NfhjVsYIkhQ\ngMCSgldDdAOYTrrrUcrs7Kzy+bxmZmaCSNXvD+ak8n6pVErf+ta3vrhpBd6a5iPGV62trenk5CQO\nq2Xz8JRQonO5nAqFgv7iL/4iGpZWV1ejYrC0tKTDw0OdnZ2Fwo2NjWl/fz82DQ/tyoMV9zCd35M/\nS8NZB85W48IjgRfwOv514Sckz2YH49+//OUv69mzZ/E+Xj05OzvTy5cvY7oSRgvBGxsbU7PZjLFk\no3V8Qn7Ce6+vk7/DA+GZiQSIYsh9vZrkaD5/w/PhGVOpVLQMz8/PxynkXCgYYDRRCYaUz2P2AUqE\nbPhQH8bO5XI5PXnyRJubm7q+vtYPf/jDhGIiT+Pj44lTuMGicDi5XE4vXrxQvV6PA2xYQ6pGUPlT\nqVSckHbv3r0wlpyJ4o4EA+54F8/Y6XSCxAeO4+tSLBYTxp73IOWiFI0cuOPDGb3NdSvG4eDgQLlc\nTtPT0zG0E4UkVIL8w2ZAFEqn0zo7O9P4+Lju3bunTqejX//1X9fHH38cDD/CdIBKFp6wkGYjyCWO\nL5CXXV9fJ0puCM9ofjxKDIKUAsbgqRP1aKZN0zVXKBTUbrf14MEDPXv2LIScEWV0NQJ4LS4uanp6\nWpVKRZ999pn++q//Wt/4xjd0cnKiZrOpxcVFtVqt1+7Z2YHko5RoCYspq15eXiqfzydSDp6B9xqN\nKnhW1tO5E8vLy9re3tbFxUXiEBoMpBssjJmnJG5w+Ew6HMGVJMVQ4VqtFhUmUkVK0dJwtiTcBqI7\nppZ7SzecA+4JZYTWz95QsQGvIOrxASvuSHhOIkSiCx8u6/NKAN07ncE8y1qtljjBilIon+/EM3dG\nb3vdinGgtNNoNHRxcaHFxUUVCgXt7Oyo2WyqXq/HEegHBwcJVBgvKQ3n9X388ce6c+eO2u22Dg4O\non0XpJoNAINAaJlxMEr26ff7MQ8BlNyJKr7BKAO/Gw2r2QyqB0yCBixst9uanJzUH/zBH+js7Ez3\n7t3TnTt3JCl6DyTFaLF+v69KpaJyuaxisahCoaA/+qM/0ve+9z39+Z//eSL39dCVa2JiInJWT2t8\nEhaRGcLm5d7Rio3jPEQ7cFcgmk1MTGhjY0PVavU1ngjGmPIivwMkHsUcpOHhLYTTlIG3trbCAKdS\nqUg/S6WSms1m/K0P6EGROKIPyvWb8CQwAdITjwyRZWTXG+ZGZYaLn+FUMCKksVxUNEgdLy8vw7Bz\neenZDR/pI1etVnuzUr7huhXM4Zd/+Zc/YsHm5uYSnPdisahSqaTZ2VlNTExobm5Oa2trmp2dTVQR\nQOsBgPb29hI8d0eWQXw5Cp0S3Ggp0IfGdDqdAKoQNspLfC7RCK/xUNEBO4SAjWPasvPmT09PdX5+\nrpmZGX3yyScRTuIdQebT6XT8/fHxsXZ3d/X8+XO9ePEiEGsU0sN1vpeSx7Q5aFgul4OxyoUBceXE\n0MLYQ8knJibCmLkSoVisBesDsIgCYZQAlDm/9MmTJ/rSl76kp0+fRqQ1OzsbKRb4TrVa1c3NTTTy\nwYO5urrSzs5OhN0cHXd0dBTnd7oxd4V2IyUN+R7sJ69BgZFlyrFeGXPw13EqypFEvA4qYtwBoonm\niGwhAM7NzYWzZCizNExpSY0//fTTtx4we2uYA8LBuHg200sz9ExcXl5qe3tb29vbkW9JChDt/Pw8\nzl3wUhkhHkJKAxB5Oh5wFHWXhpsJ+k8pifdkk8FPvC5P+EtKQ1mR94XpB9WY8ur5+bmePXsWng7A\nid4KGtQ+++yzaLwCrwGZJ6WZmZmJ0XXu4TB0owfOTE5OqtlsxvRmNwQg+a4U5N+UxuAwADKDkkvJ\nQ2TASgjdJycnQzFmZmZi8C0t5Y1GQ3fu3IlSYblcDm+OESdP7/UGg36ocuAomEqNgtNzU6vVwhjy\nRXSAceaZkEuMBc/kaZDzXVhvj7hYC+Sb14+uETLJ5RT+bDar/f39wH+QK2SENSaCwsDwfF/4tILN\nymazMToLYBI6MEMxOBQF0Gh6ejo6OvP5fLRjg96mUiltbm7GMBEUH+/GGDQfG+dGAgWgEoByoyQY\ntkxmMKDl4cOHAZJ6v4NjENKQ4ScNy03kpN1uV3t7e2F8aIeempoK4SFyolZ+cHCgSqUS9wXhhS5L\nhp6yJqOCCEMQoyYpsBY/oxMl8/CaVIDaPcbJDTPRBcKLNyaMp6zW6XT06NEj3b17V4VCQdPT0/rW\nt74VY9bffffdAF6JjOA4cPYDI+toxPJaPpWSbDabADKLxWLCYHO5p6ai4dGCp5f5fD5GAwAmEjGO\npnOjkQMEPhwX701Eh1xC6MKo+pkqzP6gKsbBNX6fHoWQcr7tdSvGwTfM27HPzs5ULpfj9wsLC/rk\nk08CkPThGl6XlhS4QCqV0srKSmw81FEWXBr21YNr8L6AOxitTCaToFpLybFezFSQBnwMFBCPkk6n\ndXBwEPeIAWODe72eisVi4ryBXC6ns7OzGFdPvZq/o5y3ubmpbDaro6MjPXnyJIQe6jBTof3eoZCj\nmBhckHufFJ1KDQbt+DFyKCU1eu9LwJC7YvjR7zRL8f68/upqcMYprNbLy0s9ePAg8CHSpJOTE11c\nXARBLpvNRlk6k8nEuHwUgbT06OhIu7u7CWo+dHgMHZ2PDoKWy2Wdn59reXlZu7u70Sl5eXkZRsxB\nXP6uVCppd3c3cWI4WJG3+hMNONnKU1QmbnkHL9R32L6UndPpdKTAyBTRX7/fj/QMzsTbXrdiHHxq\nEZ4PcMnLOldXV0ErJRxGkEfBKbyQNOQbwNbr9XoqFAoJurMz1jgdi02nKkCIiRV+U7WC1IONaLfb\nmpubC+qyn+tJZQTMAkPjBiCfz0eKhOA4mp3NDo7Q293dVbPZ1MLCgo6OjhI9HUQd4AQIHzgJfAYH\nrPw0qF6vl2gcYk2lYc6NUnpI7kAl5UtwEvaUaAzjXyqVlE6n40yPZrOpQqEQZB+vFLk3JJ0Af6KS\nRerFZ4BrgI2A2bizmJ6eTpCX0ulBV+zk5KR+8pOfBA2bcYakZ5TYMSySgvzmmAtyOTMzE4OIRsFd\nj6pGh+uydxC/MDJE4BgR9g7iHEYUPI2o922vW50h6WguNWxafYvFoqrVqgqFQpQuWUAuz9Pc8qdS\nqQivEBC6QOmJ94YicjcGxYJhNBqNAO/4PDyTpyRPnz6VJO3t7UX59cmTJ/rmN7+ZqF17WznCzIYR\nbYCQNxqNyB2vr6+jqxShrtVqcUhqs9nUxcWFarWa6vW6arVaCDmMTgzU5eVlNLs55ZdIAOHp9/uv\nndc4MzOjra2t6Iwk9ZicnIwOUC9leoMR18zMjMrlsh4/fhznliAHDEcpl8thRKVhazjr7h6bz6Fs\nfHh4GPMorq6u9KUvfUl/+Id/qJOTkwSXxeWIKMLlKp/PR7kY7+3gpBPL/ELWeB/HDuDpuJPhfngf\nJ475fvC5POvNzU2UuEnjcGhe4Wk0GjGcptfr/VznVtyKcYDg4UKH9cNKct4BAoERkZIt1myEh6z+\nf68juwLgKcAZxsbGtLKykvh8Sl1ubXkfTze++93vxpQoBOj58+f67ne/G0NMsPaSEsehed8FRmJ8\nfFwPHjyIlmz6TRAOwki84Pb2dpSoSNMQDgwQaRejywAhvSTn4Bl/i6DxWffv39fR0VEIKeEwA3Ik\nBU+F3heMFB22xWJRd+7cUaVSCWo5xpMoxlmpb2KmOtuRyJJIE0bpzc2Ndnd39eLFi5AH3od7xcG4\ncaAETiUAeXJcwTkPDkTzvKMYA/KNc8LR0PzllRx/T+4bJ+VNdIyR8woQXZ2Li4shO0RapFNve91K\nWjE6aJUQCkXEIFxeXuqnP/2pMpnBAaUMumDB8B7eDYi1dgvMwklD4g20ZEn6/d//fRUKBf3lX/6l\nKpWKpOGMRY6X89HuzBEgtISaTfSxurqaIABRdkNpfXAtyD1CSx8FYf/U1JTm5+e1trams7MzHR4e\nhkd3HsHm5qZW/+dULUkJPoekaDdm/SibHR4exvkZYCE0dnlqQ0pzc3Oj5eXlwGc2NzfVarWiI9Kp\n4gyzQdEBVNfX17W9vR1GiLQHYBMMyEFbKiCZTCZamTOZTJQlIThRLdnb24tqDpECwGE6nY5Uwp0P\nyo3RH+W3YEDAgsBgpCGomcvlotLEM5Ay43gAfn2PuA9khs/03h/6e9xI0TIAiJ9KpeI4BnQJ2Ye9\n+7bXrRgHylbeDuxlHIbBttvtaEiZmJgIxSVnlJTI69hAUgW8K6xFNovvu91uzIZYW1sLHERSEKAA\n1TzqoLEol8slNqzf72t5eTkIS/SEgDYjjE6i4f0I98rlshqNRgwMyefzevXqVZwsVa/XozKAMqTT\nabVarQDXAPM8XwcsQ5GkgUAuLCwEGEsZbPf/tXdmvY1e2bl+OZWoiTMpihqqpBptt112Iw0jyEXi\nBMh/yHUu8hdymX/TQJDORa4SBAmQoBEkTnvqeKhBVmkWxZmUqJHDuWCexfXRhWMZOIB8AG5AUJVI\nfvy+vfea3vWutctlZTIZyxAsLCxYf4tOp6NGo6FsNmtncRDTY9EbjYZOT0/18ccfa39/P0DZxR32\nZcYAk2RJJms0fPoQb4prsKasqzRShGBNrVbLPg+HgI5bk6Q4nyXAsPg0JPvUE75QKngWjUbDwEiw\nq8k0cDQ6PqgGw4DHRIWv/z6ya2SvkAeAWMJwDJgPZzwY75vg3GbciXKYm5szTVev120Te7f2+vra\nSqKbzaaVrfr4lI3oi2sQcD43yUuQxj0JqMX47LPPDPDBbYeYJI3TTp4j70ujZ2dnlUgktLq6ahqb\nEY1GlU6nA/UEWEHv0rMBOW+DjcNp2TMzo2PwUAhgET5lenh4GGjZz/X5N3ODAACYQsbyAB2WHKXB\n2sAYPTw81Js3byzm5cxPCGbQ0+mDiTA8ePBABwcHqlarSiaTWl5etnu7uLjQYDCwZ/ZgKqAx1aHg\nChSk4UHCrxgMxvUgkgzfANuRxpknFClzxZgMEXwWCo+tXq+bh+SzZ3g8gNUeAL26ulKpVNLnn3+u\nUqmkvb29H6QgeW84PGLR3r9/3zwgn/701G+8MA9yIk985mcfVqyurhoH3sdYPDiL9dlnn1mHYibP\nbzTcchYNTY2y2NjYMDo1lp0J7Pf7dnScd+M8ccnH3s+ePbPNSYjA90iyVBf/ZxMR7qRSKYsREXYs\nvQfI/Eb1rub19bWWl5f18OFDvXjxQtKY/g1R6+zsTLVaTWtraxaSnJ+fK5PJKB6Pq1wuB9JuCCIe\nEdZbCp6H4L0yXnv48KFSqZT+5V/+RWtra8Y25HkBwMhQXF1dGbdgZmZGW1tb+uUvf6nd3V3b2Hxu\nYWFBlUrFAORoNGqhBHvAg5XMEcQqX53KcwIK4wERf/tSZh9eoAwYhMAQ4mZnZ9VoNKzlvg+LuRYK\nEiuOcp6ZmVGlUrHwzWMVhBxekVOZiSKA4FQsFlUoFIxODwmuWq3aPmYf4WX8lGzFnSgHaiFodcXw\nNQ/xeFyVSkXr6+tmnaVxzzxiXk9O8fjC4eGhFRelUqlAP0MEkNbe0F4B1XxdPUj/+vq6qtWqKS+K\ntnyYgTvsyVRcZ5JWzAaC2OJZn2+zHrR9Y4GJd32T01AoFEijgXGA30xmJLgucS0dq3wcjKL0sbgk\n43fkcjk1Gg1Ls/m0nj/Ri6wJLvbV1ZVevHihR48eGQdBGgthNptVNptVvV63LNIknZj/Y5lZQ89n\nmASgmVfmb3Z21jJEfr69J+FZiCgZacTj8FRl5oo95BvdsObsDwBP1p73oSA8DuWp2OFw2DJiy8vL\nZvR2d3etEC+TyViTITxQPgtn5TbjTpRDKpUy97vdbpt1wI31rbSJuXA9qSLEXSPO9RgAeAEuNuQf\n+kR4sNBr6HA4rI2NDSP+sAn6/dEBuJHIuEchn+P0LV/XAfiFy93pdAK0XjauTwNSRIMCY8NjiVCk\n5XJZDx8+VLlcVqvVstb0nLXBfTA3y8vLOjs7U7vdtspEX0+BwsGV98VGeBk+5iarsLm5qXK5bN26\nUATE2vyN1vHpdNo2KbFvr9dTpVIx7gXdthBush03NzfKZrPa3d1VsVi0jASv+dqRSSDW8zN8xyeP\ncbHGk6EnewtliqChXPL5vEKhkPEdAB89XgWpjz4NALW+XSBpY9L4tVotYPT870wmo3w+b15dLpez\ntorX19fWK4Nnhp+B0vopqcw76wRFERRoczQaVT6f18rKiqHbxP0LCwtqt9uWI0bAWBBcVSrhlpaW\nrCErm8Z3b5KC4BOD1nSAilCzAQxhVHJ/WJFUKhVIe0kyN/ji4sJcT4a3ZqDzpBuJZf37eAZCqidP\nnljFJlwF4lu8EVzydDptDXIQUBQDRWCdTke5XM7AKi803m2Xxim9RqOhZ8+eBcIiyFtgObVazVxg\nPAtPZb++vlalUjFWZygU0u7urpWwY8Hj8bhWVlZUr9dVqVTsvWAGrIX3DBiePIUw8v0+vfw2XMpz\nDdhzft/5toMoHLzJwWBglZN4A1jvWq1moDB7Eu+NdX/bsxD2lstlbW5uWmMXX0xYKBQsxU+PTa+4\nf/a1Fbg75NxTqZSeP3+upaUlra+vq1KpqNvtWgt0XE3PkvRWdTLdhDfChCQSCVUqFRWLxYCLjDCw\nAbg+FguXPRwe0aC9y8i1Jf2gxX40GtXR0ZEkWb8K4m3iUzYin8Fygar7NmSesBWLxbS1taXZ2Vlt\nbm7q8PDQOv14V1aSeRa0UINeDDcAS+tdel4DfCRtxvdjGb0HBgZAOAa9F1yGTAZzt7i4qKOjI+vA\ntb+/r83NTX344Yd6+vSp/v7v/96ehbBue3v7B2Qlz4Vgj0CF9tRxhNLjTlh/rkfhkscPUKKTJdSk\nKT2BzXt6rJPPDpDCpicD3+3b5INBedq1Z60S5nFcA17Y+++/b8A++8hnWwDU8fpuO+6sKpNsxdnZ\nmfL5vD7++GOzEOfn5+p0Orq+vrYYGpDJVwHyoABm0tiNJMaDePPHf/zH+sd//Ecr1PEpHYBFXxsA\nqQahw1J79J8Bxx/eBbz/3d1dXVxcaDgcWj46lUpZnYi/hvdkfLjjSToIdqvV0tramjKZjJrNpuEn\nPkTq9/uW4clmsyqVSnr9+nUgd+8Hz08ohzdHs1KP0AOaIRQIIik9gD5qATzHhMwGxKRer6dqtao/\n+qM/Ur1e16tXr+y99NoEdEVYPCaAMvPcBObcU5A9v4DnR0H7czN8KtHPJZRswl/YrngmHq9gD2Bs\n2JeEPF5BeDB6kqTkn81nH1Dq8Xhcjx8/1r1791QsFs0bQjnwOe6f7NRtx50wJOntOD8/r1/96lf6\nsz/7M62uriqTyejevXuGrieTSQMM0ZIsBnGqFDzvApcKwg6ndL98+VLFYtHSOSgnrBsgKNaNje6R\nfDSvb23P9U5PT83tRShZIEIerI1vpebTTpJMANkwnr3IRpWkdDqt5eVlS2leXl7aeSCEDGyiN2/e\nWFbAtyvzLuvFxYXW1taMLxEKjcqVCfuYj06no1qtpmq1amXPKATuk/VhXj3AiddB9WQoFNL9+/f1\n3XffGfmJHowYhFarpVarZelgb/WHw1GFqA9bAEV9mBCJRAJeG4otGo0aZnRxcWFnYqCMQqGQeXce\nUPQhKffD3/Ag2D9+XqRxr02fTQE78qlQAF5pTIjynAq8FTge33zzjXWw6vV6Ojo6Urvd1t7engG7\nEPhuM+7srMxIZFSazARwxkQkEtFnn32mTz/9VP/zP/+jRCKh4+NjA1y8e8cks6mwaouLi3rx4oV+\n8YtfBM7PJDe+tramWq2mx48f2wEruMOkuth8WCncdTYBVpDXGo2GqtWqLczOzo4ODw8D51zyW5LF\n7TwPwkpmgZiWzdNoNAwzCIVCFq5g7UGwsYJsIqwr3+03lQ8r6A+Bh+ArEBPGagAAIABJREFU+MAT\n/MnaeG20+uO7fDoQIVtcXNTu7q4xSSX9oBu0d6kLhYKtIx7E1dWVVldX7VxQX9GIcoT16CsuuTb7\nzCvjt3EYeL54PG7CTpjAtfgMAu+9SVLUft7xTMGvms1mIJ0MIEn3cSloFLynk81mlUqlNDc3p0Kh\nEOCzoOj29/d1eXmpWq2mZrOpRqNh5erdble/+c1vfr7NXmhmenl5qXK5rOvra9XrdX3zzTfKZrP6\n5ptvtL+/r06nY/E0KKuvpcDVy2QyFqOFwyO25JMnT1SpVIxVCVciEono4OBAyWRSS0tL+uKLL0wY\n8Ab8eQ+g+2hwLBfChit6dnZmlF6ErlAoqF6vB5qeEEf7DegHn6WilHLmXC5n50f2+321Wi2bC5+e\nAhxFQUjj08PJLDB/bCgsF0qRk7G9W0ooxPf7GJ714fuwbLBU+/2+3nnnHR0cHNhpUfTHBEBlfg4P\nD7W1taW1tTWl02m99957+s1vfqNisWghBpgGFhoGoQ9BCJ98iOS9DWkMQrKe3ivh+aA5ey/EKweu\n57/nbYoZT4CTqbiO98pQppNhK14DIxKJ2PMBSsMb+t3vfmegJRWkrE08Htdvf/vbW8vpnSiHV69e\nBbyFra0tbW1tWRyXTCYVCoWsqQsbyGth3H08B1KeCBtuK6EAGAKH54RCIW1tbdmJ3rzHI8csniQD\nyKCoSjKadz6f10cffWQeCWDcixcvArRiFh5rNLnx2MyAl+HwqI9FpVIJIO08O+GUD6nAPnxWgpCG\nf2PhEMpQKGSgqu9aLI1jf8IEMkiELwgdXoYnWfFvOn4RtsHxx+NDQEn3bWxsqFQqaTAYaHd31+o2\nGAiPr0WAsk56Ge6JNO4k7T/vvSjmlH6jCCvX9vTvSc+B/YYyuLq6stb4sC8ZeIaeds36k5XzJDiv\ncKRxLc3S0pLS6bTS6bQKhYJlP4bDof793/9d7777rpaXl9Vut9Xr9Swkg2B223EnmMPx8bFp0Ha7\nbW7gzMyMNT/5+uuvzcJK4wNXPE3au7eTKSuEh4Umbkyn08ZQxKrTFow4VxpnCIjf6/W6cRewXDMz\nM5az/u///m/93d/9nVUuwilAuXh2HouPUuOeETJYi3y3t+pe2Mnbozi9q+xLmglVQPTpsYhVk2Rd\no3ys7AlUgMFYP0KYt1VP0kMBwUcQAAZRarj7zDPXhPBFrYFXZJNYCXsDUNSXtfuu2j6cQPD8vcGu\n9Z6ExxjeFlb47ATPkMvl1O/3zUv1HAyAQcBIP8hk+DDF7/1wOKxcLqdMJmP9MunlAUciEonor/7q\nr1QsFi0UA8s4Pj7Wmzdvfv48h1KpZBPsC2CgsnKQCBPpiS0sOp8lbpPG/QUYkUjEjtqDHIR1Qcip\nqYBxSS8ET+2WZBZVGqfQsILk4LvdrnZ3d3VychJovEoWBOEls8CCYmVQdJDDUILE0QzCBFx2UGjI\nZYlEIpB757CT9fV1dTodS53xnB5b8PPHEfewKz0g1m63tbq6GnDzQd8BVRE2X26MsKCgSbUBLOIy\n/+d//qeWlpaMO+CFkWsAvoXDYTvVCeGG/4ES8hwS9gmpdMJSH56dnp7agcW812cLKITiGXhuaUxY\nevr0qba2thSNRs1jJUzlmag0Zp/jLSILlGfTEpB5PDs7s5O3O52OcVZ2dna0vb2tw8NDK9brdrt6\n8uSJlRLcdtyJcqBFGBsfzU21ZqPRMCvOgvmGmQipJ3VgUT0VlZgYS0s6iZZjCA/FR1hWSCWenTbp\nHvId9+7d0/b2trn1Z2dnAQAM1N8rMTwbb3UzmYx5M2dnZ4aWe+TdCwd9K0HoofDi0hLOsHFJwXFv\n3qtIpVKB8w64V0/iIaTh/ovFotUYQCHm6EJfUUpfS+7bFy6RfeInEomYwEejUb18+VLpdNoE34dU\nWGvYnaSzPXMVi8/nKJBjH5GZgBnK3weDgZaXl01xTmaM8EQ5WSoSiQRO5OJ7q9WqNjY2rE3dcDg+\nAZ2wjHQv4cRgMLAmup1OR1dXV6a8mAeqcuGX4ClhGKrVqvb29rS+vm4hSyaTUbvd/vl7DriqHE+O\n1RwOh8aAA/zyrrPvvyj9sL03XgVWADzCpw5BinEjJZkbjZIKhUJaWVmx8uXJ5im4/8SYrVZLg8FA\na2trhkNgUTlCzRd/kaOem5uzPgtYDVB8hNXfG+nXXq9nx79hoQeDgarVqt5//33F43EVCgU1Gg2V\ny2Wjo/MbS46S8qg8CmNybqUxJsI8hsNhSzWTTiQleHV1ZZkFaQzs+lgbBQX+grJHERHy3dzcaH19\nXYVCQfl8Xl988YVOTk4MDMZik9WB7PY2xuf19bXxTUDvPUWa+eh2u+bV3tzcBAQYRQtf4fnz55IU\neFZSsqHQ6NDhg4MDzc/PWxNcsAe/P/EUMTRzc3NGyMNLYa452cpjZeVy2T63sbGhwWBcpv7ll1/q\nvffeU6VSubWc3tkp2/DvYW55JBkPwrtwCL6kwKb01sy7xYeHh3b2AVZVGoUN+Xze6NihUMjou9Qm\ncC+zs7NaXFxUu902C0XaiToJSVYb0el0rD8gbjjeD/cryT7Lc1PW3Ol07Pm8AiEMgFGIV4SAS9Kj\nR4/0p3/6pwF+xPr6um5ublStVtVoNKyaFAHHkqEAvUfEOnCfKBBASb7/nXfeUafTsT4SHE6E9QT7\n8GXhfD/9CUh/Elv7Hgd4TgjQycmJms2mnj59qpOTE1PceFDFYtGyDOBCuOLUkTx9+lT379/XxcWF\nPv/8c/3Xf/1XoFmKxxIwCr75bqFQUDqdtjM3eL8HglEuPBsdwehjgQUHlGY+WTvmgUxMPB5XOp1W\nqVTS5uamLi4uLJxA4c/Pz2t7e9sMKQQ0PCZORr/tuDPlQGEUuXM06dXVlZLJpLlexHsMcACQW4+s\nS7JNvbm5GXiNxe52u8bnh4NAZR4ZFDYiyoOmMXgxMDyxhHg2kJ/Q/iiu4+PjwInIqVRKi4uLevz4\nsV69eqVms2n3QMYFNxWGJmdE8v0QdPAsdnZ29PLlS/3FX/yFBoOBOp2Oms2mCRBng/h5Yl68O87c\n+pQfABtxtS92evHihYrFohUYZbNZHRwcGGWcz3ssg2fwKc9JUg8K0DMXT09PFQqFzAIyR/BF+Cx7\ngD3Csy0sLBimdHl5aS3v/vmf/9lwIPbM6uqqHTd3fHwcSOsmEgkrdEN5SUGmLu3f6ENB7QxzjyLw\nmTjmyCt4r6joGbqzs6NEImFyghyAPZGRYD7o+UkvkNuOO1EOdPNhY6AY2u22EXzQylhNvwAsEIMN\nzWYC8QepZoPhklG/z98B2q6urpTL5bSwsKBarWZUU9J//f6oYxJnaGL1PILv7xF0mmfiNX4++eQT\ni0cvLy+Vz+cD4NxgMOqGlclkzIoyfwyEiusPBgPVajVzTSETgdkQhrAZaajjKwGZR4QRi0eRFl2Y\nE4mE7t+/b0LDKJVK1tIOXAXFhhVk+HQza4l34VOIklQul1UqlbS1taWNjQ0tLCzo+++/VywWUyqV\n0u7urlG+19fXzVsDTCTkq9frisVi+uqrr1Sv1/XBBx9Y+XQsFjMvAr4JYQjCyv3T/IdydKw9uAUK\nijXFY/JFYjyjT537MMi3F1hcXFQmk1GpVLLDmQqFgra3t63ytd1u6/z8XK1Wy9rzVyoVMwLeQPzY\nuBPl0Gg0lEqlzIKQOeh0OoF8uvcIpHGFIGcdkGLz2QsASBbLWz9qJYhz2QC4z5eXl+YS034LdJ9U\npj9UxNOCyYh4sg0CyqKzOTh45h/+4R+0uLhobjtnVkijTVEsFgPoPAvru0GhOCHBxGIxtVqtAIjH\nxjk6OgpUfYbDo4Iy7ovNj4cDYj4YDOyMRnAY3+mJbAzpu6WlJZ2fn1sfTAQBz4Q5n8Qe+H6AUU8i\nGg6Huri40OHhodbX13V+fq5cLmfsUNr0g32kUimzylyP5+IgGub5o48+0vb2ts0f1+BMCDAs9gsC\n32w2tbCwYCGTV7rgCdR5sP4Asl4R+9SlJ1ThEUgjTxuj4CtRv//+e+vQPjc3Z60JWq2WnSi2urpq\n95DL5W4tp3eiHJaWlszSet4C1pkmqAihz2uT6iKWw/3kNVxtFomN5eM4774R/4Pqs0nZjMT5tVrN\n3Pter2eUYb6XtvosOtYP1Nx7DICwnU7HLFEul7MzOnBreQ7ScLRHg1btuyGtr6+rXC5rd3fXAC8y\nQLRvm5ubU7VaNQUEdhAOh1UoFKwvI+He6empodwoI/p3wprk8Frat/EaWA5W1HcwwqujYzcpzlgs\nFvDSfM+OhYUFs9SHh4eSRhTsTqejxcVFS13iolONure3p3w+b70goIqn02nLCB0fH9v9Ug5PyDmZ\nLvZnmgBWkh70SpQ5xmKTUaI/KPvUp5W9ksSDkMaeIl4q7QTwJlAWGDBJdm9448jG3t7ereX0TpQD\ndE9iUX5wP33eHS3qAUfPavPDWx/eJ43ja0kBay/JNgifwcp4IIoNxObzaLI0JmhN0mx5BpB63Ezy\n3aT9oAC/evVK9+7dsxiR8mY2I+kw6N5euDudjlZXV034YdIR0lxejk7J8p4abL6FhQWztNfX19aH\n4eHDhzo+PrZnDIVCVmh1fn6uw8NDa3iCIsLKwgPgeybX4fz83Oi9KGXo54B6xObgTq1WS+l02gwL\nhDW8zVKpZNwVvMGnT5+qWq3asQPMKz1CZmZmzMouLCyo1WrpwYMHhrF4QNanl/mhoQ2v40HigSHo\nGDW/v73i8IbO42RS8BxMMifcH3sM75E9AYYSDoctJQumdttxJ8qh3+8rmUxaWo8Jxg1GgBAG72rZ\njUfffuse2PHCwwRB/fWVdlgneBcs5OXlpbWO8+dMIESTh5cS/4OWgz1AeGGBWq2WhQxkU0Cd5+bm\nNBwOjcU4ma6k0Ak0fG1tzVq1AbQ9ePBAL168COAMsC4lmZdEQVSpVNIXX3yhYrFohVsIBGAeG7bV\napn3BNbh41jSpdw7gu1Tv6wPQsMa+WYwrB9r6glCWG08k6urKx0dHVm6mO7PsDExOslk0upS4vG4\nHj16pG+//ValUskyUlQEg9t4xmQ6nTYhxgPyjEeUEnuEZ0Ho4aZAuvMpdh+SSLL5wvMFu5mZmTEW\nqG8uRIguyb7fhyoYhZ99tgKNCTAIADY5wV77slk9MDdppe/du2cAEa956vHFxYUBlOSqfUstNjWL\nXywW1Ww2DRHmHnCHM5mM6vW60ul0AJDD4yGE8PcdjUYNYDw8PDTLSmGUP4Px/v37VtS0vLys4+Nj\nnZyc6OLiwvoHhsOjw2bAK8LhsLa3t61vhDQSaLIpeC8omHB4dPQbczccjvoRPnv2zNx/lOZgMFCp\nVFKlUrH7DIfD2tnZMSIXGx2lghLBm8CVhh/iawrm5+fttHBPTkKI8OxQIgzCGq7tm+9gDCgkw/th\nbzx//twKzSSZJ8e+86EbipvQgCpLuBheuYGnMBBwQgP+zbUxWHheGAS8UtiSKEnmFoVYq9X05MkT\n/fa3vw3UhUhjZfFTFIN0h2dl+tgfYWBQb0HsSYrJp3j8QPuSMwaoRCkQ73nwh8953ECSKQ9cTjaL\nb4FOiuyTTz7Rr3/9awsnvAUB9Sb2w3MAO2BD4vKz0dD4pKDi8bju379vVhyLAvhHKOVTqP50a9x2\n6ONwHuhKtbq6alYVl3Ntbc1O2PJubig0OpcSC4wAZzIZFYtFtdttVSoV6xmQSCQsTINJORyOzw2B\naMYBujc3N3Y/YDhYPRS6j8U9WQoQkZgfxTk/P2+VvXimjLOzM11dXSmRSFgY2ev1dHZ2ZtkOqkdZ\nE56l1WoZJ8Zn3HwdD9kr5gAl6z1nPELvcZIy5m+EEF4xcN2LiwsrJPzqq6/MIADE4u2yJp4W8GPj\nTvo5/OEf/uHfeDyBnK1PV0KHRgtTkEN6kbjcu6i4z2win0Lyefu5uTlDmelqzbV4H+lJrE04HFYy\nmTShJOfsPxcKhcyjIHWWy+Usjka5gCZjGeB8zM7OKp/PK51Oa2VlReFwWEdHR3b/Jycn5mKzqbDC\nnnjl61AkBUAyUopcE2sE14ANuLCwEMBwqJvg9G5P98UrQ2lSGs5rmUxGkgyclGQdvjj9zIdfnhTE\n3PhwA++EZ/C4C0qiXq8bmIhC5Xp+H/DjhRosAQ+XdSJLBg0Z0pqfa5SAJDNwnEDFfftCMA+GR6NR\nO+wJBYGRoUGSDxfwosA6er2eMSLZB9fX19rf37dTzUKhkD799NOfbz8HBIlFBXOg+65PGUrjCcdS\n0krOo7CSLKfttabX2ggTzWCz2awtFJ4D76HQiowJ1G3At4WFBdXrdev8y4agnRxlxrifgG7hcNgq\nIHFPo9GoCoVCAKtot9vGz/cdnvg8IYDn13tGHhsEajKK1RdR+VoCMkfcMwVLrIEnYqXT6QAFGIvI\nPcXjcTUaDTsQl/w7ChLcRRq78Z4pyLPA/SDd22q1zFWfTPtJoywY4U8+n7cTu9kXGB2EC9Dahxw+\njeoFPhKJWKUtQkm4CUDuyWSEEVSY0uMRLw/hR+GhgOD3eEXFOtAhnHvi/iDnUQeDJ8Lzcl4KGN9t\nx50oBzQuqT4sNBNFrbrnn9NPEDcUQMbnjkH/pXFDTw9q8ZsYrlQqGUh5eXlpridCFY1GLcXIwrB4\n0HGp6oQuzHkB5XJZT5480f37942qvfO/511CTsFjgj7N93JtwoNqtWrFNj7W9QLOD1wRMiBYdBh7\ncDLgKBDiPHz40CwWbi+gK0IIp4DPS+NNDdgojVxaWKXE6L7ICi+EZ2bDopgRomg0akVy6XRaq6ur\nevnypa03IRvCAL5AlgRg0nf+Zh9I47NO2S+TfAOUnq9fANxG+PF6/P37cAyvkX3De7l3vyf5jAcR\nh8OhstmsKSKUGOzQfr9vhD3KBT777DNls1mVy2V1Oh39yZ/8ier1us3nbcedKAfIJpICDVexrgBV\n2WxW7XbbFAC5ex9zSbIFwUPw1s57Fl5LYzUIDSKRiG0UFgDwELYZ8RrhCGFPu91WNpu1VFUkEtEv\nfvELnZ+f6+XLl1pZWdHy8rJ+//vfq1wua2Njw1KUpKY8kzGZTBrA+OGHHxphqNvtGhchFAoFlALW\nE3IYypQ4X5J5P6RgqRNYXFwMZAHgRHB8AJgJrv8kQc2n90jV4enwG2vrU9KS7LoeRPOvYRhoVkLL\nP7++pA49KEiYgPVE6Px9e/AQ5YCyY0/QEwHhhEPB6+xBn0njGRB2OqyDtQwGg8AhTYRSfDc/7NFO\np6NkMhlohEsdjwfJl5eXbd+sra2pWCwat+P8/Fz5fN5k4zbjTpRDoVAwV5wGpoA+8XjciDFYGDac\nJ0VhydiQfvFAp5lcFohUH/EeqSXOw/DsNTY8qb5Xr14pk8lY+INVJlWI1cAlX1xcVDweVyKR0NXV\nlT2nH4PBqCy61+sZKPbgwQMThHB4dMYBlgtB87iI97gIjwBFO52OHj16ZKlS2I6e+EWc+sEHH6he\nr0saA4lQ1EOhkPWKAAzFlUWoCG1QHnyfn0t6KXgCG8MT4VhTaZyaTiQSAWBUGp/5AD6Cp4iQ+3/7\njAsue6/XM86JJPu8z4acnJwEQhiyauxBlJsPb3hm9hphFBgGzFb6mLBHvULxP77CGGXiwXFAZ8rj\nP/74Y71588Zkplwu2z3s7u7eWk7vRDlgEQBPksmkkVuw3lhVYtLhcGht4yKRiNGcJalWqymXy9ni\nIwQe2yBVhAD7LrwIGAqCBeCHJrS93vjkbhaX8KDb7ZrbzmYD1aYRDHE9iqlYLGphYcHCDH8wDxWg\nXvD39/dVKBQsLCPDgGKVRpgH30FmgHALd99Tuvn+g4MDwzb4nHd1I5FIoKEpoRjP6gXXx7VwQqAy\nvy3FN5mtYo0n38MPz8aBPbjZ/jsmrbpvAYdSx1ukiI6O4TwHc8tzENJyTSnofYBTcO/E/z4E4e/s\nR5/C5Dvp7MR98FkUKhjW4uJiYB34N8oCecDz4aCn2447UQ4c+IKmpO0V1XxsAEIN0GYElf4JTATN\nVyHjYNVxt3u9nsVnxWLRtC7xN+/zhCuUCvwDUHyfCfG8iOvra3PzSG9dX1+r3W5bjwNpXKq+vLys\ntbU1syzEkMfHx4aE+/sk9jw5OTGrhQfmQTYfnnGGg8dQyAhI467MFJwhCIBs0jgz4Deoj7MnFRjC\ngbLi/7FYzAhm/nNYYy/MPrTwWID/CYVGPSXgBCCgPvVKjC7JwM1kMqmtrS3rJeLDQ77bfz9YUjQa\nDVC72Sv8m1DAE8b8HHgsTBqzOjFG3GepVDLQE08K8JIsDHiaz6jQaEYaE6jOzs7sWTBaP/vCK4A8\n+hnSRBUaLwCLXwRCCjSfR14RPCYSOqs03tyg0nRP8ov/NpcRK4DW5QxONDnNOn2By4MHD7S+vm6K\n6Pr6Wv/0T/+kTCajdDptVGXCEjIzuPbn5+dm6VlUn9eXZC3ok8mk9vb2VKlUzMpHIhFVKhU9fvxY\nqVTK3HEKvfzcAbTl83mdnZ1Z1gGUm/f6DALDCywKB2/Cx8WAlKwb/Q68C+7XCG+GkIB14Ps8YAhv\nJBwOG224UChYOMb7WOMHDx7o+PjYgDka2IJ3+boRvxd81oIw1CtDBt4ZimryGdmfZGK8cvDzAuHL\nF8dJIyITzE5PlMKLrNVqtv/JSJFCJVQic3HbcadVmUwQ7lAqlVI6nVan0wmkqVgcaUybfhuHgbjV\np+W8K0qKEIovf/OKxFNeJVlpLGk5QpP5+Xm1222LqwuFglZXV7W5uWk9Bi4vL5XNZrW5ual4PK71\n9XXrF8hGJ04EeEM5wGr0IBpaH/LU9fW1eRpw6Tk5jFic+SKEY3hyF3G3FzqP6fgwy1PNESAyIrzu\nhRMshhQf7/GCw/ulcQjB6x5M9O/zwg9G5XuA+DAnHA7rm2++0c3NjeX7aeKDIiZ17A/nIazFMM3N\nzRkvA6XljReh5+zsbGBPTeIIfq8STkqyfeGp/ZPGjZPgSMWjTCi991gHRwBg4E5PT/Xs2bNbt6e/\ns8IrFhlNH4lEVKvVrMyXvgxMPEJ8fHxs1XnEmJNurSdIsbDpdFqpVCpw6K0n1gwGA3333Xd6+PCh\nhQXSSBlR/lwulwOoMgBbJpOxA03xKC4uLtRut/XBBx9YByZStG/evFGlUrFUlsc8cMMLhYIkBTZ0\nq9UyCwAY1e/3tba2pn6/r4cPH5oLT+HTwsKCHRLz+vVrSTJLAtAbCoWsmWqz2QyUe3urzX2SHWJg\nAX1WIhqNWvXhYDCwBriUm+P2wh3p90ct73GPfZYJoWU/eOXB83iX3ysT7imRSFi2BHzBh4/cJync\nZrOpQqFg1hovFa/QezQQrbDWnJHi508aFwZCD/chKs+JJ4RyRlEgK77Ar9ls2j7P5XJmVPiudDqt\neDxufA9wiNuOO1EOXsC8m+krNcnBw3WAIZnNZtVsNs399TlyJhx313Pz6QJEjQIaGKUzHA61sbGh\nZDJptQI+pqzVanbvbMxEIqG5uTlrFw7lN5lM6vDwUL3e6HCdVqul8/NznZycWAPZwWCgk5MTO+XL\nE26kcSs5mH/wPci49Pt9NRoNra+va29vz0BdMgyxWEyJRMJQ/lgsFqi89NYuEhkd9LO0tGScf+7J\nx75kjzx/AiGUxkxRvBD6V/pyb9KouMA+difN6tu7SePW874tIILvv3cyxYrCYnAdFATf7fEVWI2r\nq6s6PT21GhI+75UinwHf8XwK5sUrB/7uC9c8PsE8+65dHtT090D6kvtnXaH5h0Ih80STyaQVkv2U\ncSfKAdZaJpNRuVwOxGHhcNiEjH4HxMeSAqcoE5viZi0sLBgdFje7UChYRoFYbTAYGJhDuoeYjtiR\nA0kQSh8Ls+Bzc3PKZrPKZDLqdrva3t5Wo9HQZ599ZhV89BzwJ2FDYyaV6L0GFt7XTbx69UqRSET5\nfF6JREK5XE7/+q//qufPn+v6+lrr6+t2f9wzsT7o9s3NjSkjT7rBWtEG3nsIbERi2EwmE1CoHlz0\nsTmpN1K/eBqEkPARUA48Ox2kqBWQRtkXX2tAGOSFzmcOZmdnAxkIf1/SuAksGQz+TyjS6XSsszbP\n7hUV4QVcE48jYFCYU5/54Pfc3Fwgy+TB7dPTU6Pns6f7/b5lL3xKleYvdLfCs2RfEbLMzs4aE3c4\nHKpcLt9aTkM//pb/9+Mv//Ivh4QSXjDYhEyY7+TsawYkBayGNO6pMDMzo42NDStYkmTufywWs/4E\nNzc32t/fDwgoG4FJRcNLshp6wLdYbHTcXSaT0crKimEMxHmcEfDRRx+pWq3a97NR6EbE/z0fYzAY\nWA3DcDi0uNFbmpWVlUCFJYoHduBgMLD6EbwznsGn1AjZPEgJMk+2BMXjkXg2Pq95fAdgldgXsLJc\nLqtQKFjYMrn+Ht3nhyYyCB6eDOEN3iPPzmsI0uS9Yli8cqGxDdWt1IJwXV/li/LGK/Fz5Y2Hnw/m\nx+8raYxrEKqwbul02g7z8UrGKyjup1qtqt1uq1qtBshv19ejE+qPj49VKpX04sULyxb927/9263k\n/s7o0wA9WHKUA9WDaHVcP7ShFEwHIahsXtI8GxsbxotAKGdmZgyEQugKhYL29/eNEgtQhEvO++Px\nuJaWlqxSEhwhHo8bZZo4OpFIGGNyb2/vB4ptOBxRiin9ZlOh4LzFwdogBAj09va2ZXsoWvOutgcD\n2bB4Bz5UuL6+tt4QzLFvgONd7sn4mWdBiHg/mxNvjtj60aNHdi8+TSsFm6qikIfDoXmQKAdfeo7H\nl0ql7D7BoVCI3qUnZGWfMAdnZ2eq1Wqq1WpaXl42ngzpx8ln98/P2iHYxWJR6XRa33777Q+K1yZ7\nfkD2Yp/NzMwYXoFCRGH6+X6bgvbYENff2tqy/0NhL5VKt5bTOyvZRkAlWdkyVgQwDeAMEIWFx0WV\nZKk0UqOdTketVstcKQ5aeffdd7W/vx+INWkZ72nVi4uLSqVSWl2Z2TZdAAAfLElEQVRd1cbGhrXe\n8jlirA8p0f/4j/+wA1JAiyExhcMjLr7nLZTLZUvhUqdA2XI+n7e2YAB4bFS/+N7N9IrDZ2nIgFDy\n62nFZDQODw81NzdnIZzniHhr7bMaky4zc8GAG4ArC0iGd8CGx0tJJBKan59XpVKxqloEmPnxmQGP\nK3m8AdcejMofSdjvjw+c5blQnIVCQfPz81peXjbPkbAJCjXhB/d8c3Nj+86Xk19dXRn/gg7nGDz2\nx4MHD1Qul3V2dqZQKGQlApIMkJ0syfcZNI+v+GwOe4NuWCsrK3ZfeJCNRuPWcnpnzV4AU5gMiqmk\nsTs3SbaZjOF4Hw1R4CM8e/ZM0igNScx/cXGhX/3qV4pEItbABWXiNS/dgLLZrNbW1swFPj4+VjKZ\nNOUSCoUC3Zho8OqtEyARVo40Jb0cpXGmgpJcPKhwOGyxKWksr8S8pYXsg8UlRqZVPo1DUAzEo+Fw\nWPl83u4FBch7+Q5Klb0C8HwDYmPvlYB/IOAoI/95FBBcDcI2vBiMA96SByN9CMK9eO+MbuRY9H6/\nb0VrPh2O50E6ESXjU+hkI1CMpHBRMBgNPuPZl/5UMDINBwcHdi2Pf3n8wgOSHjeZTKF6j2Eyq4QC\n+fLLL62Az3dt/7FxJ8qBVtqAgZMuNwvkc+xMOqWypA4Z+XzerInvBpzL5ayijzbwkF5AprFcUIkj\nkYiy2ay+/PJLsyAXFxfa2dnR+vp6QAmQPmIxYEWyUUDuJzkKnmyEIKLcZmdnA63Qsc640whaNBo1\n7KJQKJj3gvKkexChCvMcCoXsANZ2u21cBUA8rDbfzZFtgGNUP06uFx5hp9PR+fm5dcii47c0FmZC\nSk7F8ulENnk0GjVeii/19tgN94jC5P+Ul3vOBQVufJbvBOfxpCs4OKHQqEXA8fGxcVrq9bodl1cs\nFo2x61OekUjEaidoTEu4jEfBWgKy4xECgqMA4dn0ej11Oh0NBgPzSAhrfOdyCviQFdL+HN9323En\nyoEj6Twg5RUEiwXohjXyfRrAABKJhKG89GPk7Mder2enah8fH9smJXSRZDlwXH4ott98842KxaK1\nUzs9PVUikdDh4aG5bng9PkyiPJqzD0jJ+nQfXACfnmJjsplfvnyphw8fmlsoBfPglAB7gA8Bxcrw\nTGx8X7hDJoUeiHgFb/MAKBfHEk/WLfjKR7xBUpLgBKybJ0KhGHjmSXYqvAOEwx9gA8bAnPrMCWg+\nfAuUwSQZy3Nt/OD+YrGYksmkPv/8c/3BH/yBHdVIp+6ZmRk1m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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(fSoft), 'Soft, SNR=' + str(snr(f0,fSoft)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One can prove that if the non-linear approximation error \n", "$\\norm{f_0-S_T(f_0)}^2$ decays fast toward zero when \n", "$T$ decreases, then the quadratic risk \n", "$\\EE_w( \\norm{f-S_T(f)}^2 )$ also decays fast to zero \n", "when $\\si$ decays. For this result to hold, it is required\n", "to select the threshold value according to the universal threshold rule\n", "$$T = \\si \\sqrt{2\\log(N)}.$$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Determine the best threshold $T$ for both hard and soft thresholding.\n", "Test several \$$T\$$ values in $[.8\\sigma, 4.5\\sigma[$, \n", "and display the empirical SNR $-10\\log_{10}(\\norm{f_0-\\tilde f}/\\norm{f_0})$\n", "What can you conclude from these results ? Test with another image." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingwav_2_wavelet_2d/exo1" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Translation Invariant Denoising with Cycle Spinning" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Orthogonal wavelet transforms are not translation invariant.\n", "It means that the processing of an image and of a translated version of\n", "the image give different results.\n", "\n", "Any denoiser can be turned into a translation invariant denoiser by\n", "performing a cycle spinning. The denoiser is applied to several shifted\n", "copies of the image, then the resulting denoised image are shifted back\n", "to the original position, and the results are averaged.\n", "\n", "This corresponds to defining the estimator as\n", "$$\\tilde f = \\frac{1}{M} \\sum_{i=1}^{M}\n", " T_{-\\de_i} \\circ S_T(f) \\circ T_{\\de_i}$$\n", "where $S_T$ is either the hard or soft thresholding, \n", "and $T_\\de(f)(x) = f(x-\\de)$ is the translation operator, \n", "using periodic boundary conditions. \n", "Here $(\\de_i)_i$ is a set of $M$ discrete translation. Perfect invariance\n", "is obtained by using all possible $N$ translatation, but \n", "usually a small number $M \\ll N$ of translation is used to obtain approximate\n", "invariance.\n", "\n", "Number $m$ of translations along each direction\n", "so that $M = m^2$. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "m = 4" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Generate a set of shifts $(\\de_i)_i$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "[dY,dX] = meshgrid(arange(0,m),arange(0,m))\n", "delta = concatenate( (dX.reshape(m*m,1), dY.reshape(m*m,1)), axis=1)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "To avoid storing all the translates in memory, one can perform a\n", "progressive averaging of the translates by defining $f^{(0)}=0$ and\n", "then\n", "$$\\forall\\, i=1,\\ldots,M, \\quad f^{(i)} = \\pa{1-\\frac{i}{n}} f^{(i-1)} + \n", " \\frac{i}{n} T_{-\\de_i} \\circ S_T(f) \\circ T_{\\de_i}$$\n", "One then has $\\tilde f = f^{(M)}$ after $M$ steps." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialize the denoised image $f^{(0)}=0$." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fTI = zeros([n,n])\n", "T = 3*sigma\n", "for i in arange(0,m*m):\n", " fS = circshift(f,delta[i,:])\n", " a = perform_wavortho_transf(fS,Jmin,1,h)\n", " aT = thresh_hard(a,T)\n", " fS = perform_wavortho_transf(aT,Jmin,-1,h)\n", " fS = circshift(fS,-delta[i,:])\n", " fTI = i/(i+1.0)*fTI + 1.0/(i+1)*fS" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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5BYC9YKlUCvF4XDr/3L17Fz6fT5p8kBkJ0JiKgsTF0zGaZlAuugZ2KGwaKNJC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\nTvC+DV1ar0wHvFyLDQaDGODk5GQmExBAcWxsTFNTU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(fTI), 'TI, SNR=' + str(snr(f0,fTI)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Exercises" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Exercise 1:* Study the influence of the number $m$ of shift on the denoising\n", "quality." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Exercise 2:* Select the best threshold $T$ for the translation invariant denoising." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Exercise 3:* Implement a block-thresholding method, that threshold coefficient in square blocks according to the energy of each of these blocks." ] }, { "cell_type": "raw", "metadata": { "collapsed": false, "deletable": true, "editable": true }, "source": [ "" ] } ], 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