{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Entropic Regularization of Optimal Transport\n", "============================================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_matlab/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n", "$\\newcommand{\\eqdef}{\\equiv}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This numerical tours exposes the general methodology of regularizing the\n", "optimal transport (OT) linear program using entropy. This allows to\n", "derive fast computation algorithm based on iterative projections\n", "according to a Kulback-Leiber divergence.\n", "$$ \\DeclareMathOperator{\\KL}{KL}\n", "\\newcommand{\\KLdiv}[2]{\\KL\\pa{#1 | #2}}\n", "\\newcommand{\\KLproj}{P^{\\tiny\\KL}}\n", "\\def\\ones{\\mathbb{I}} $$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "\n", "import numpy as np\n", "import scipy as scp\n", "import pylab as pyl\n", "import matplotlib.pyplot as plt\n", "\n", "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Entropic Regularization of Optimal Transport\n", "--------------------------------------------\n", "We consider two input histograms $p,q \\in \\Si_N$, where we denote the simplex in $\\RR^N$\n", "$$ \\Si_{N} \\eqdef \\enscond{ p \\in (\\RR^+)^N }{ \\sum_i p_i = 1 }. $$\n", "We consider the following discrete regularized transport\n", "$$ W_\\ga(p,q) \\eqdef \\umin{\\pi \\in \\Pi(p,q)} \\dotp{C}{\\pi} - \\ga E(\\pi). $$\n", "where the polytope of coupling is defined as\n", "$$ \\Pi(p,q) \\eqdef \\enscond{\\pi \\in (\\RR^+)^{N \\times N}}{ \\pi \\ones = p, \\pi^T \\ones = q }, $$\n", "where $ \\ones \\eqdef (1,\\ldots,1)^T \\in \\RR^N $,\n", "and for $\\pi \\in (\\RR^+)^{N \\times N}$, we define its entropy as\n", "$$ E(\\pi) \\eqdef - \\sum_{i,j} \\pi_{i,j} ( \\log(\\pi_{i,j}) - 1). $$\n", "\n", "\n", "When $\\ga=0$ one recovers the classical (discrete) optimal transport.\n", "We refer to the monograph [Villani](#biblio) for more details about OT.\n", "The idea of regularizing transport to allows for faster computation is\n", "introduced in [Cuturi](#biblio).\n", "\n", "\n", "Here the matrix $C \\in (\\RR^+)^{N \\times N} $ defines the ground cost, i.e.\n", "$C_{i,j}$ is the cost of moving mass from a bin indexed by $i$ to a bin indexed by $j$.\n", "\n", "\n", "The regularized transportation problem can be re-written as a projection\n", "$$ W_\\ga(p,q) = \\ga \\umin{\\pi \\in \\Pi(p,q)} \\KLdiv{\\pi}{\\xi}\n", "\t\\qwhereq\n", "\t\\xi_{i,j} = e^{ -\\frac{C_{i,j}}{\\ga} } $$\n", "of $\\xi$ according to the Kullback-Leibler divergence.\n", "The Kullback-Leibler divergence between $\\pi, \\xi \\in (\\RR^+)^P$ is\n", "$$ \\KLdiv{\\pi}{\\xi} = \\sum_{i,j} \\pi_{i,j} \\pa{ \\log\\pa{ \\frac{\\pi_{i,j}}{\\xi_{i,j}} } - 1}. $$\n", "\n", "\n", "This interpretation of regularized transport as a KL projection and its numerical\n", "applications are detailed in [BenamouEtAl](#biblio).\n", "\n", "\n", "Given a convex set $\\Cc \\subset \\RR^N$, the projection according to the Kullback-Leiber divergence is defined as\n", "$$ \\KLproj_\\Cc(\\xi) = \\uargmin{ \\pi \\in \\Cc } \\KLdiv{\\pi}{\\xi}. $$\n", "\n", "Iterative Bregman Projection Algorithm\n", "--------------------------------------\n", "Given affine constraint sets $ (\\Cc_1,\\ldots,\\Cc_K) $, we aim at computing\n", "$$ \\KLproj_\\Cc(\\xi) \\qwhereq \\Cc = \\Cc_1 \\cap \\ldots \\cap \\Cc_K. $$\n", "\n", "\n", "This can be achieved, starting by $\\pi_0=\\xi$, by iterating\n", "$$ \\forall \\ell \\geq 0, \\quad \\pi_{\\ell+1} = \\KLproj_{\\Cc_\\ell}(\\pi_\\ell), $$\n", "where the index of the constraints should be understood modulo $K$,\n", "i.e. we set $ \\Cc_{\\ell+K}=\\Cc_\\ell $.\n", "\n", "\n", "One can indeed show that $\\pi_\\ell \\rightarrow \\KLproj_\\Cc(\\bar \\pi)$.\n", "We refer to [BauschkeLewis](#biblio) for more details about this\n", "algorithm and its extension to compute the projection on the intersection of\n", "convex sets (Dikstra algorithm).\n", "\n", "Iterative Projection for Regularized Transport aka Sinkhorn's Algorithm\n", "-----------------------------------------------------------------------\n", "We can re-cast the regularized optimal transport problem within this\n", "framework by introducing\n", "$$ \\Cc_1 \\eqdef \\enscond{\\pi \\in (\\RR^+)^{N \\times N} }{\\pi \\ones = p}\n", "\\qandq\n", " \\Cc_2 \\eqdef \\enscond{\\pi \\in (\\RR^+)^{N \\times N} }{\\pi^T \\ones = q}. $$\n", "\n", "\n", "The KL projection on $\\Cc_1$ sets are easily computed by divisive\n", "normalization of rows. Indeed, denoting\n", "$ \\pi = \\KLproj_{\\Cc_1}(\\bar \\pi) $, one has\n", "$$ \\forall (i,j), \\quad\n", " \\pi_{i,j} = \\frac{ p_i \\bar\\pi_{i,j} }{ \\sum_{s} \\bar\\pi_{i,s} } $$\n", "and similarely for $\\KLproj_{\\Cc_1}(\\bar \\pi) $ by replacing rows by\n", "colums.\n", "\n", "\n", "A fundamental remark is that, if $\\bar\\pi = \\diag(a) \\xi \\diag(b)$ (a\n", "so-called diagonal scaling of the kernel $\\xi$), then one has\n", "$$ \\KLproj_{\\Cc_1}(\\bar \\pi) = \\diag(\\tilde a) \\xi \\diag(b)\n", " \\qandq\n", " \\KLproj_{\\Cc_2}(\\bar \\pi) = \\diag(a) \\xi \\diag(\\tilde b)$$\n", " where the new scaling reads\n", " $$ \\tilde a = \\frac{p}{\\xi(b)} \\qandq \\tilde b = \\frac{q}{\\xi^T(a)} $$\n", "where $\\frac{\\cdot}{\\cdot}$ is entry-wise division.\n", "\n", "\n", "This means that the iterates of Bregman iterative projections, starting\n", "with $ a_0 \\eqdef \\ones $ always have the form\n", "$ \\pi_\\ell = \\diag(a_\\ell) \\xi \\diag(b_\\ell) $\n", "and these diagonal scaling weights are updated as follow\n", "$$ a_{\\ell+1} \\eqdef \\frac{p}{\\xi(b_\\ell)}\n", " \\qandq\n", " b_{\\ell+1} \\eqdef \\frac{q}{\\xi^T(a_{\\ell+1})}. $$\n", "This algorithm is in fact the well known Sinkhorn algorithm [Sinkhorn](#biblio).\n", "\n", "Transport Between Point Clouds\n", "------------------------------\n", "We first test the method for two input measures that are uniform measures\n", "(i.e. constant histograms) supported on two point clouds\n", "(that do not necessarily have the same size).\n", "\n", "\n", "We thus first load two points clouds $x=(x_i)_{i=1}^{N_1}, y=(y_i)_{i=1}^{N_2}, $\n", "where $x_i, y_i \\in \\RR^2$.\n", "\n", "\n", "Number of points in each cloud." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "N = [300,200]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dimension of the clouds." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "d = 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Point cloud $x$, of $N_1$ points inside a square." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from numpy import random\n", "\n", "x = random.rand(2,N[0])-.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Point cloud $y$, of $N_2$ points inside an anulus." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "theta = 2*np.pi*random.rand(1,N[1])\n", "r = .8 + .2*random.rand(1,N[1])\n", "y = np.vstack((np.cos(theta)*r,np.sin(theta)*r))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Shortcut for displaying point clouds." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "plotp = lambda x,col: plt.scatter(x[0,:], x[1,:], s=200, edgecolors=\"k\", c=col, linewidths=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display of the two clouds." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAlYAAAJKCAYAAADusQv/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvW2sXdeZHvYcSiJp3ntJyTNKEHlsKsBYYmtxIGmQYmzH\n", "HKWIXV83zUcTZSRNZxIXpCvZqMX+mf7pr6ZFfw6MtpYhDSwLHXsEpFKQxCaHSovAHjrACOVlTHpM\n", "SoNiLukMMFVGpEVdahRRum9/rLXOXnudtfden3vtj/cBXvDyfOyz9lpr7/fZ7+eCiMBgMBgMBoPB\n", "iMee0gNgMBgMBoPBmAqYWDEYDAaDwWAkAhMrBoPBYDAYjERgYsVgMBgMBoORCEysGAwGg8FgMBKB\n", "iRWDwWAwGAxGIjCxYjAYDAaDwUgEJlYMBoPBYDAYicDEisFgMBgMBiMRmFgxGAwGg8FgJAITKwaD\n", "wWAwGIxEYGLFYDAYDAaDkQhMrBgMBoPBYDASgYkVg8FgMBgMRiIwsWIwGAwGg8FIBCZWDAaDwWAw\n", "GInAxIrBYDAYDAYjEZhYMRgMBoPBYCQCEysGg8FgMBiMRGBixWAwGAwGg5EITKwYDAaDwWAwEoGJ\n", "FYPBYDAYDEYiMLFiMBgMBoPBSITbSw+AwWAwGHUsFosFgAPyv+8QEZUcD4PBcAdbrBgMBmMgWCwW\n", "Dy8Wi+cA3ACwI+XGYrF4brFYPFR2dAwGwwULfhBiMBiMslgsFncB+DaATfXafvnvu/WPngbwBBH9\n", "rK+xMRgMP7DFisFgMApCkqrvA9g8BOAkgMsA/kLKZfnaIfHxTQA/WCwWd5YYK4PB6AZbrBgMBqMg\n", "FovFKQCbRwCcAfCxhs9dBfCfQRAtAKeJ6AvaMTgmi8EYCJhYMRgMRiEsFouHAZw7BOACmkmVwlUA\n", "RyECsAA8DGAB4CkAjwFYlx/bAfAigK8T0fnkg2YwGK1gVyCDwQAgrB6LxWJNyiL39xgABCnCF9FN\n", "qiA/88Xqv/8cwDkAxwGs78cyLmtdvra1WCxOsduQwegXTKwYjJkjNBONM9jiIEnoYwDwpMf3nqr+\n", "/OhBcEwWgzE0sCuQwZgpQjPROIMtDRaLxRqAnf0QhMgHH4KY60sAjjR8pi0mi8Fg5ANbrBiMGSI0\n", "E40z2IaFj7a89zGIYPiD4r+bbEVkMPoBW6wYjBkiNBNNvhyVwcYQkK7AGwDWLwO43/F7r0FYqTYA\n", "vAURvd6GkwC+Jv58joi+FDJWBoPhDrZYMRgzg8xE2zyEdnIErFo9Qr/H1pJVyJIILwLANzy+94z8\n", "9zF0kyqgFpP1GCcXMBj5wcSKwZgfYjLRQr/3VOMH541nAOB5CCtfF67IzwLAlx1/4H4sY+A2UNW6\n", "4mxOBiMTmFgxGDNCaCbakw1/d4GtJe0goi0Ap9+CcJ22kasrAD4P4TvcBPBg4G+mzuZkgsZg1MEx\n", "VgzGjBCaiXYTojhSTAYbgHUiuun59clDSwg4ehDCyvcUqpir1yDMWs9jWRgUrwL4a47HVzFZAN4G\n", "cBaJsjmlS5mLkzIYBthixWAwGB5IbaEhousAjgE4fQMi0PwIBCH9kPz7a1iSqp8CwHc8jv9M9ect\n", "JMjmXCwWd8nkBy5OymBYwMSKwZgX3gGw8y6EJcMVP5X/+n7vNSytIW/L3x4tchZEJaKfyczJhwE8\n", "B+Dtd1Gbu+fke38XCIvJAvDhIxCtc34b9SzE++VrF7C0bh2Fhb9xuQ0GoxtMrBiMGSE0E+0bDX93\n", "QbOWvDjWxsB9WmiI6LwsiXBIHnsdwCEi+pJ8LygmC/KACbI5vw3gaCxBYzCmDCZWDMb8EJyJFvG9\n", "rzuPbkDIaaFpcymSwE0pJiH9dQAXL0OwlpOoWxFfk6/9EpZ1xK4B8dmcMWU6uNwGY05gYsVgzAwR\n", "Vo/Tod8jon8bN+piSG6hiXUpesZknQawF0iSzRlTpoPLbTBmA84KZDBmiIBMtIsQynwR8r0x9guU\n", "FppzhyCIUxeZuArBquR5P2xmxeXosSiJmMrM25Avvw3h7n0GwOuI7EcI4Y58BxFV4uWYDo3VHcxg\n", "+ICJFYMxU0iX1Xfg34Q56Htjg7QqHT8JYZVyQVP7GJ3IHoIgpE+iTki/AUFI3xIveRFSaVVSxT/f\n", "UQQmRaNnaKUUuNwGg9ENJlYMxgDQpBh7+u1Wq0dTPaLQ740BsX38YFhoQnszxvZYTHUeEHuTiRWD\n", "4QAmVgxGQQypyKJG7g5AuH6cCF5JUpgLqSw9RHQztUvRFyksb6mJJoMxZXDwOoNRAEMrsiiV/7MA\n", "/gzAG/AIqO7IYGOUD/qOyQL9OhDfMBojLrfBYPiCLVYMRs/IHW8TMJakAdVTQEIXGlIcJ5aUuLoi\n", "VTandEX+FMDfURYzX8vbFYiSD9Ly9tCIM0MZDC+wxYrB6B+DKLKYo0bTVBryJrTQHIC0RrqSKsjP\n", "SoK7gcrNGgPf2lcA8FFoVtOYMh0pSdVU9hhjwiAiFhaWngSiLQkdAugKQNQhVwA6CBCEPJR4LKcA\n", "0JGOsVyRn5FjONVyXs9BWFjUZ1Urloe0zy0ArElZlF6PlGu1XV+rB+Ux1gDQfofvm7K/OtZaovO5\n", "U625kv313yEAtAnQqwCdlOcuX78gv3+X/JsOAvQ0QJe1MV+Wrx00vpdwPTr3GAtLaSk+ABaWOYlU\n", "AnTSQ8E+XSmRZxOOIwnBk4q2U1kDOAvghbEpRRv53AVoR8quRqps5FMSybdhEJAuuVwd60ZqAgrg\n", "IQiD03J9NgA6AdCWZd3N83IlaPIz0aTKY48l+T0WllgpPgAWlrnIkJRsCoKnWy8OyWOZ1gvD6jE6\n", "paif4xpAnwDogDbuA/K1teq1FQvNUMi0Np6HlcXpkkEQPUn1QxAJDze0dbwhX0tClgP2WDILGQtL\n", "qBQfAAvLXAQDcQulIng2a06TYlZWj2MjVIoADkNkSnaRwzcAHLZ8P9qlmPh8khI9ZHTvhuwxNLir\n", "WVj6Es4KZDASI3cVbIossphoHJ8G8MOQ2kxbEKYO/b2URTFTIlUGZ2BWXvK5GFM9qtL1vxiMUHBW\n", "IIPRAN/sI4fmuu8A2HkX9YysLryGJZl5Wx5jCDgBhNVmesby3hkAB8V/N10aEfeIVBmcvll5FwE8\n", "kegcdAwlS9EFpet/MRhhKG0yY2EZmsAz+wh+wbUvIKEbJvD8UrgCg7+/AXtMT864ooh9kCyDEz0H\n", "fTec0yDc0T3t0UFnnbJMV9hixZg8XC1PIdXQA2pBfRKIq4IdCyIixNVo+j8RYfVoMrtpJobHBlKf\n", "KKnFhIh+RsK1tyTu76JmjXwOwoX1BcpXiHUsVtMxWdYYjDpKMzsWllwCD8sTArOPEBZc+4bLd7aR\n", "LyAXcQHVv4JIq8fOAKwiHfOT3WKCQjW9MLAsxYYxjsKyxsJik+IDYGFJLQioexNIkM76kBPDVfQ6\n", "4Fxk8SKAe1IrX9dzNgleLOlocgUOSSlOWbFHkurkWYoNY2RXIMtohV2BjEkhsE3LMfX5towtYCXQ\n", "+tNAsKvo3wA4fQPA1yACnz8k5Yh8TWY3fQDgAQB/CsemyB4ICqgmIkKEK/ExCK1pYqBB+pMDDaQ1\n", "TRv0Pfa/ArgJwZa6wE2fGYNAaWbHwpJSEGZ5ugr4uUa+Wn03thaUrcjiLe3v3FWtgwKqEWH1ON/w\n", "mSEFr2PiFhMUbE3jOL6HAbys78F1gI5jtTp8ScsaC4tNig+AhSWV+Cp7wzXnpUC3NBLi+h0lNleR\n", "VOQfgbAK9V5luoHgtVbRdiWx26hI7OaIlCJGEIsUeX6hpDpnQVAnN/4mQNcb9hi4QChLYSk+ABaW\n", "VBKjCG/zJEc7iYmVHH/xKtM+StPX6nHUUIZDVYqokh5uhlrlhkIOHc/XiVQjcxNkeCaQHIVoFl3S\n", "ssbCYpPiA2BhSSGId9209kszZVf7XgpXERLXTOpx3p2sHrcD9GQH8SqtFG3Wkj3y35IZnD1fQyuk\n", "2tWKhEj3dOCDRbLfZ2FJJRy8zpgKYuvewCcq93Xt78BaUGZw7SirTFN3baYXAPzwfYh5agnSPw1L\n", "K5i+0JT08OcQgf0DqJieHSRwU4pgWmHJIHf6/rZsXxOSQAKIWKzc9b8YDHeUZnYsLCkECdLjv+Lx\n", "HS2WJtpVhAkFSqPZ6uEdw9XzuButJdchYnq0cfdeMX2I89JiRfK22GHi8Wws8xJuwsyYBBI0l8VB\n", "CHNDl8XoCoSFQlpazgL46zHNdYfSnLkPNDWoLgnXZr/nISyOvwfRBFLiJkRvwGdoYk1/+2qCPKbG\n", "0AyGC9gVyBg1VLsaCGUd06blpzfgX9cHwN+GXy2otzHjBrEkUHM3DQBObljd5Pbl6uXvENGXpkaq\n", "JPpyT3P7GsakwBYrxighn6afgqg3uS5ffgfAAdcnbMPydAzA/w7g6EEIBfEUqhv9axAk7Pnq8xch\n", "Y4IWi8Vh+f8NdWwVt/Wu9nu3A3jf+K48F35iLwSeezv6nJexWWyHaHVlDAtssWKMCh2Nkg8AQEhF\n", "aQiX3ucBvOJQDd0MtH4GwMa9AB6HYFcqgHsDwAkAWwD+XyyVzlEI9xEAYcVBfFPkAwNpXDw2sLXE\n", "jj7nZRSNoReLxcOLxeI5iNvAjpTU3RAYEwATK8Zo4JKh9CTEpvZwzf0xgH8PcbP8UwCfg7hJXwZw\n", "08hwew5G9pGezfR9CLb0Fqq77luQ0dlYyWbaNG7GzwDCItZGCBWuyM9KfBF8k2eMFAkeLLK2r+l4\n", "mFuXr20tFotTIRmRjAmidPQ8C4urwDFD6QJAa25ZXG84fOYMWhogI2E2k+v5bdczsGaToZZpT00m\n", "I3PM84KBNoaGZ9FScIFSFuI6VoyRwKfOzVEAP4HI95cwLU8vQFiq7naozfM5AL9f/bc2pgVEjBee\n", "9DgXLar3McN959UU+ecBvNo87uCaQnMCEQ3aWlIKfc8LDbcx9LcBHD0CwZh+G3XX6P3ytQuwu/kZ\n", "M0VpZsfC4iKItAxBq62ERLV5kKB2Flbb2jhVMn8E9vYwLuNmWVnHQVpLSkvf84KBNYb2Pf+hdENg\n", "KS/FB8DC0iVI6JZIebPMQay0Y9sKatIdAH2Pb/I59liIG3bypLXveXF9sEAPru7Yh7nSa8dSTtgV\n", "yBgDUmYopazNky2biYjOE9GXIDx76wC+BQBfAfAF2xcMDKXlzYjg5YbFiFvXeGI5Lw8AeBp554W6\n", "WyStJJDkQAY3P2NG4DpWjMEjVZ0bCBKTtDaPTL8+fhIi1kKBUDGmAxAmN4WTEKUbADwnyVMruNZS\n", "P5DxaN+BiE8DYK9HBlFu44mcir0UjBpN92O1VhwAYC9E9m3ueSlVM2pstbUYwwITK8bgkYpYQNyg\n", "k94szbYffw4RwPsiqrYn6xCa6csAPoxaUdKHyCHwlm/y/UKWq1CEQhV9fRtiWSfXugZoLLi7RAPB\n", "BCY6L3zNMWLArkDG4CGfUgeZuUVaNtN/DOCXAfwOBKlStW525GsPA/gEestmYgTC4oZdh7D4Ta51\n", "ja1Gk7KuOmTMAsA2gN8a27yoVlhSbC67URQtZQwTTKwYY0FMAc2vy39z3Sy/DODdm+hWRvLx9V34\n", "xT3xTb4ASGBofQ2TwVZw9xiEG3uq5QVcq6cP+WGOMXwwsWKMApSgzk3Gm+XXAez3UEb764dth+u4\n", "CYK43ZR/802e0YFajabfAPADiAeArlpxHV0EBgdpmTsLv+rpKR7mGHNE6bREFhZXQYI6N0hcm8f3\n", "eKFlENp+5xxAxwFa19LR12RphqZxs8xbbPvpuNwvUysvAOBeyLIlvtXTwWU4WAKk+ABYWHwECerc\n", "pLxZosdaN+a4rwG0aZw3t7dhcRFz3+5qxHxKrX3kw9gNl+vdVlg3xcMcy/yEswIZo0RM5pYWW3L0\n", "IES9p6dQue9eg/ABPI+lO/EigGNkpJH3XQZBH/cGRMr7mxCumy9C1NvRz+Eb8hzeajkHxvxg27c3\n", "IfxhU8uCk+6/T6us3a7adVchgsbkdf8wEZ3nMhwMXzCxYowaoXVuUtwsS6Rkm+M+gvZ4mKsQMWmy\n", "eONpEsUXGTOGbd9OkVipUiiACMz/7faPL9FUZ26OZTgYYWBixZg1Ii1fRWrdmLWzQp7CvQbLmBRs\n", "+5YgAtF3IEj4FIrQquK9QNpzKlW0lDEecFYgY9aguJpFpcogpGzLw5gfVvbtsn8LplFeQG9Jk6gV\n", "1hIkMNkyHIx4MLFizBqqUCDEDfQdn5ul/FyvtW64hxkjFk37Vu2R5zGJ8gIHYKkgz2D0ASZWjFnC\n", "pVCgQ3VmoP9aNykbUjPmi5V9+zBE4F5MrbghggvrMvoGEyvGrGBr4dFQKPAqOqozAwAlKFzKYPSN\n", "pn37bYh4vMvy35Ook5LX5Gu/hGVCxEUAT/QxZk+8g6pd5yTcm4zxgIPXGbOBXq7AVqLgVQC/BtH8\n", "TMElUzBV+QbHc+i1xANjumjat38Zgimd1j47xvICevC6a6LHFfg3SWcwTLDFijEn1Fp46K1nrkPc\n", "gbfh1Hx2E8APVOsLIroO0WbthzcgUrWPQGT+fUj+/TVUlipE1JMqEdfFmCa0fXta37d/BcC/Nj77\n", "Lmrusecgsku/MFRSJfEMANyOIPfmWSZVjFCwxYoxC3SVKPgCBOMJqQsln/y/Da0mVgN+COBvxSoj\n", "33IL/BTO6EJX2REAr8vXRlVeQLr9N/cB+A8QJSUcLMrvAPjIwEkjY8BgYsWYBZRbwFYocAvAL8Pd\n", "XWDUhfpVAP8bDPfifRB359cBvADgW0hbAV0pjC4iqJ7CuUAowwVTq9GkuztvB/C+9l6De1Nh0G5O\n", "xrDBxIoxeXTFJZ0A8DsIrs78LoD9fVdA7zOui8EYM2xdFnRsQJjpNgH8ANwGihEPJlaMyaOtQnqC\n", "itNYAPgRhBWrDakroHMPM8aUkNtapvoGHgHw+wB+Xr5+AOIaVuA2UIxYcPA6Y9ZQOdkRdaFAAP57\n", "h++kroBORD+TN/2HIQKK3x5pkDFjxnCpKZfiNyCbMZ8BcBjAmhSzQN3H5GcOiv9uphoDYz5gixVj\n", "8mhzBaZoPrsBwWK2AHTdgXOWPZhafAxj2rAlfeSyuLbFWDahqRkzg9EFtlgxnOFYiXxwaCtRoPpe\n", "hFZn3kBlhXqm+eNL5KyAzj3MGGOBFiO46VveJOC3uA0Uo1cwsWJ0og9TfQ+wtp6JbT77GIAvy79f\n", "hHALMhiMTjTWlIP8+7fle9LCexQinjAE3AaK0SvYFThTuLiN+jTV54Y8398H8Dkzg8+33IJeF+o8\n", "gAdRuQV3IOI2msAV0Blzh28dttikj7bklS6o6xrAOhHd9Pw6Y6Zgi9XM4Gp96tNUnxPG+X4OWO2D\n", "Ftp8dhOCVPmAK6AzGMLL9kV0kyogSdLHOwB2uBkzoy+wxWom8LU+Qabx912fKRWazpcgKjDrMF93\n", "qQt1FKLmzZ2orFAbEOSsKRiDK6Az5o5SvS45eJ3RJ5hYzQBdzYdfg4gv0grj/TGAj/dlqk8Nl/P9\n", "HwH8UwC36l99G8KKu/Tm2cjnJgTrVOY5dQN+HM1BIFwBncEo55bjNlCMPsGuwHnAN1D040CvpvrU\n", "6DzfbwP4Z1i6MhU2IA1Ot6PKFlTZfycg4rFOoSJVVyAIKQD8C1TuRYXX5Gu/hCWpughhEWQwGD2B\n", "iLYAnA5oxnyaSRXDF2yxmjhCntTulX/3aapPBZfzvQ7g1yF8ngo2y9RtAL4J4O9jtTozsGKF+vcA\n", "7m47HkYQ5M9g5EQpV6D8bW4DxegFbLGaPp4CgP8KwEcdPqzaPIw4Nbk1MPY6RNfk0xDWqrag/A8A\n", "/CMA/xGA/0c7RoMV6j5wBXQGoxVtNeXakCLpg4iuAzgG4PQNCPf9EQgX44fk319DZakCkypGINhi\n", "NVFIy81TAI6r19ZR1V2yFZ8iCLPLX0ZcJXIUSk12eRr+AsQd0zMoHwCwD8Jq1WWF4groDEYzhhDv\n", "JDOgn4K4JW7Il9+GIH3PlI4TZYwbTKwmBtfsPz0AewviifBFiNoLCmNzBeqBse+gyo9WbjzfelVG\n", "UL4OvgEzGBFYLBan4JB1nDvpgx+CGDnArsAJwaf21GkAnwbwWQiy8TuomhHfJo/Xt6k+FW5BlExY\n", "l3IQIvD8n8j3Q4Ly76he/hQEcfwSkyoGIxi/DuCiWVNOoa+kD24DxcgBtlhNCK5PgaabyyxJEFOJ\n", "HIVSkz3qdOFVAH/N8bjKErcXwHviJa5pw2AkgCwo/B1MoLMDg6GDidVEENMm4nsQsUc6XGORhlCf\n", "ybdOl17c0wVa7BjArWgYjKTgeCfG1MDEaiKIqSx8AsCzxnsqe+4i3CqRo2BqcoilbhOiHpULFLHa\n", "h2V1du4bxmAkBsc7MaYCJlYTQGxtmKZWLD+DCGroqveEgqb6GEvdFuzZkTr0OXoPTKwYDMYqDFII\n", "7e93wCRxduDg9WngAID10NpTTR1G74Sw6mwBeFS+NsD6TMENXZ9p+6Dxmc9jSaq4ISuDwQBQa/K+\n", "Y8gbUnYAvLdYLF7Wm9wzpg22WE0AKfpv7UBrkNeA/ViSi78E4M/7eAprcw/kstQp6EH5qis1OHid\n", "wZg9XJNl9gDYrX/1XwH4hxyIP22wxWoaeAfAzruopyx34TVUffBcSqVrBCS7aVt7EryB6inwxmKx\n", "eE578stiqQPq/cIeAfDd6q2ve/wUg8GYGHzK2uxCtGR4Esu+pJ8FcFZmRDImCiZWE0Bsm4jH0Gy1\n", "UVAkDJldYYvF4i4ZjH4Oomr8+n4snwbX5Wtb8jOHGg7jjN9Ce/2cIwD+FNyQlcFgLOHV1P51iAc1\n", "rcn9J7A0gDOmCHYFTgQxbSLOA3iw4/MqgxAZXWG+ZRMgMhH/KsIbui5hM+MfBnANgkmCG7IyGLNH\n", "bLLMz6HWzeFhLiUxTbDFauRYCKxB8IXTb0GUFLja8h3TzdVFqq5AkBmJnK4wrydBiHvUdSC4Svy/\n", "BPBToBaUv6w8fwVLUsUNWRkMBhCZLKP/Xx1rSFD6REqXI4PRALZYjRRak+XHIFxkgMxAAfBhx9pT\n", "+DiA/wvlC4DGPAkCcVXiZczWfwvgH4ALFDIYDAtSJcu8jvJ9VU206JMXAXyd74F+YGI1Mvi0bul4\n", "/18BuAfAJ4ZQADSmwCmE1emjsVXiuUAhg8Fogsq+3gcRpO5jzjGzr7VuDkE18VLdqzz0CbcV8gC7\n", "AkcEn2wUiWsA3m6oPfU5AH8dwOkbEATlCMQF/yH599dQBW0jL6laQDwp4UmP72l29DuRoKErN2Rl\n", "MBgmtAzlPwNEyRnV2L1vM45jtrTrsXz0ySaAH3A2oxvYYjUiBDZZPo2qvqf1yaZ0r64UdbgAfATA\n", "74CfvBgMRgK4WnM2IVL8mhhHCldgDstSqD4p0Q92bGCL1UggfeCbh9B+EUC+dwbiqQriQryvzQpD\n", "ROdlpt8hCP/6OsQF/6VQUlUgCPItecE/DGGVa7LUlawSz2AwRgAfa85pAMcgWoDZYJa10ZJnXvQg\n", "VUktSzH6hCvIO4CIWEYgEMSATgJEjvI0QBDybI/jXBIbVL+viM1DDd9ZqM9f9ji/y9Xxb0BaX41j\n", "rklZ5D5vFhaW6QhENy86AtCVlnvQFfkZALRpeX8boIPy/fPG/wE8mGssAE51HHMU+mSswq7AESA2\n", "GwU9ZJ/Emqojg9e5zQyDwUiCVI3d9WSZTQhLlW+GdWS2tLVO1hj0ydjBrsBxIKp1C9y71rSiyb2X\n", "yFT9DCCyENtqcCn0WFuLwWDMC1G1qsxkmfsgig1ryTN/BEvyTOqxoLlO1iD0yZTBFqsRIFFwd1Ba\n", "r/z91honAP5nJAiCdA2m7Ku2FoPBmBcSWHNqiGnCnMuyVFqfzAFMrEaAUqZbn5pZByFqGMSYqvWW\n", "NkOorcVgMOaFRKTDxPsA/gWA/8nmmss8lhUCxK7A/GBX4AggN3Bwk2U4Zp8oSJffRwD8AI41s/Zi\n", "mTXSijZTNRFdh0iwKV5bi8FgMALxlzRZB7CXiP5+U7xT3y1k+tYncwRbrEaCmCbLkK1bHH+j5vLb\n", "A+AfAvgtVEGZOnT33iZE+gogUkfekX8fQL1KscuTT+naWgwGY37oy5rj0kIm51j60CdzBlusRgIi\n", "2kJAk2UArwD447anocVicddisTgD4ByA45CBjfsh4gNehKih8AWs1mrRa5ychiiUd0L+XxXEMqsU\n", "uwRBUobaWgwGg9GG3NYcea89Bcu9FuIedxzAlvzMoVxjidAnp5lUOaB0vQcWdwFwF8QDBh2UdUX0\n", "uk+X5WtrVb2RD9BSSwqCL72gPndI1jUxj3lSvgeAjgJ0vb3GyVL2S9Ff25Tf115fKz2vLCwsLErk\n", "fZEOddSNstWqQkttKv3+7XKvlZ89lmMs5nja9Il2vA+kvrDWI2SphF2BI4MsU/AdODZhbmnADACf\n", "VS/4ZPTpLj8FPSvmaawGnX8DIuj8LYj049fFWxwEyWAwBoccGcoRLcmQeizamJz0iSW7kVuDtaE0\n", "s2MJE4iQp2chLLQ1C5Xj09DSsuX6NHRFe3rZsryvrFA7Ld/XKgNzBV8WFpZBCvytORcA3NlyPC8r\n", "2JX6sY+lHEvD+B4C8C1oXo69AD2q3esbLGpevzMXKT4AlsgFrFq3nAH82h78FflvSFuDEwHEynLD\n", "+LXS88fCwsJiE4i+yqe0B0FreIP8TCvBQGQLmZRjaRnjKQB0H0CXANp10CHoaJ0zV2FX4AQQ0vbg\n", "AQg/HCBMx74ZJ6pT+6LjdRu4FQ2DwRgLYjOUU2b35cqWztE6Z87grMBpwLvtwW/Iv0PbGryNqpwC\n", "sNrBvQ1a8arH+qrdwmAwGCGg+AzlZC1kEoylCTla58wWbLEaOUKfhs5DOP1jqvruQPgg9Ron5wE8\n", "6HEMcGsEBoMxYQy9hQxXYk8PtliNH0FPQ4r8vAtxgbjiNfkd9Qil1zjZhBupYjAYjBnhHQA7ofda\n", "rDoIUoObMicGE6uZYgHgNvl3SPG5zwP471Dv4P4dx2P0eMNgMBiMopCWnFm0kCnRomeIYGI1fgQ/\n", "DX0g/34e7ZV3Fa7IzwLAP0Wtbx/+U4i0FReM8YbBYDAYEXgGCLvXAvh6lhFVSGFRu3+xWDwHoRJ2\n", "pNxYLBarRrvoAAAgAElEQVTPyYD7WYGJ1cgR+zT0UYgsPs+2BkBVyf0JAPi9ju/rx+nxhsFgMBjF\n", "QQNuIZPAovYzOLTokcVIZwEmVtNA8NPQ70KkzV6W/55E/anlNfmacvkB+DGAj6DKRPk9DPSGwWAw\n", "GAPCrwO46HGvvQj54NoDYixqHz0EMfbLEAH6fyH/PgmRvggRgvuDuZArzgqcCEJaMDwC4F9DPG48\n", "gap3AtDYCsfaxmCxWNwF4PsAjh6ESMM1W9o8A3EhSlJ1EcAx8zgMBoMxZXi0JOu9ZUxgGx+vdmhw\n", "bLUzdjCxmggCyA02APzX2ufOA/hfAPxzAO9Vh94F8H8A+FpbnRTbDWOf/Pc/1D/KPaYKQwaVqiye\n", "dzjOjcHoF7kKfUaOyVuHHIR4SuaConUwsZoQPJ6GVpowN3zuFYi2M84kSN4w/gcA/wWAO7S3bgH4\n", "LoB/MvWLqk/4kCRZXVndzNflyzsQN/Ov87owGP1iaA85HjrkpwA+ehLAbzsee04dN5hYTRCuT0Op\n", "n5rkE8+3MUAzd5/o42bpQ5Js69KwMpNeFwaD4YYu3QDgB+CCoo1gYjVhuCr4FERANyMfgjAjP4m6\n", "GfkbEGbkt8RLk4uz6sMi5EuSIEqWfR/AURFG2rkyFyFCKN7CAJ6gfTC0p38GY+ywXVNDryQ/BDCx\n", "YiSBa+DjFAMZ+7II6eTVgyT9GYDPeoeYCozCTTh2FycTQsaYwMSqG0ysGNHQO6P/CMDPy9cPwN6Q\n", "eUqBjIFkJ8hSp8irP0kK6Vm/F7UUhgG6Ccfu4hw7IWTME9xbsBtcx4qRAk8BotjoA6harh8EcAIi\n", "21DHxDqjfxvAUXHLuAARyqnfau6Xr12AvK0chXv3nyWkEt4UJKmNVEG+dwZV7kBIz/p/BKMSTVQd\n", "mtStLjRCK+ektYrOoGroLBaLuyRJXhZVFIRwPzDjoooMO4bWJmZOLXqCQUQsLMEC4C4A7wMgJful\n", "6K9tAnQdIJJyuXrvBqTldGwC4GFxDgcJuETALmmnaJEr8rMgAA95/tZz4nsnO35DyS4Bd8jfuuz4\n", "HZKfBQEb2vlcIeCIGvepgDl6DuIpVR1DVe33mgPjuKfEsY7I8bXNedjYLb+5ALAmJWjPyuvlghjP\n", "Ibmel435PynfA8nP3ll6r7P0Lx3Xzidj9mGisdEhgK443Fi2ATpYncODpec2+/yUHgDLeEUqiYvq\n", "AjspCZNOnk7K9wDQUYNcaeRrrfS5BJz7wxBmEY1ArhNwnICtlnvM0+rzz3r81qK6ubqSpB35O/s9\n", "SJWS/fK7OwZBcSeFcm+cqs/Pfu3YSznlSxwqQnuog1SFjb3h95KQwxKEkGVcYrt29gO0t37dRO3D\n", "ROM8BYCOdJCrbfmZOe3l4gNgGa+4XlhXtAtrc+TEyp0wbBJw3TIdyiLkbqmTT6aeJCk1sSJyJYW5\n", "rTLwtt41jx0tVqjU5LBvQsgyPtGvHfWw+ofyvmkSLdMrEPKQkmqsBwF6GqsP1k+jZqmajfW1+ABY\n", "xinwNAVf0S6wLYzTFehPGI6SnVwtFbMToQwjVrskLGgxrsC3qe7edCOFOa0yCLLerY4dHVaoHOQw\n", "JSFkmabAeFi9BmHp14lWm1egb/IC4E7z4WMIpK+0FB8AyzhFKYmT7hqCnpYX2Qnt76ErDMOiEUAY\n", "Ni3vexOrQDLxKEUocimme7N97LmtMmEkc2Xe36+fo9UK9UZKcpiKEJa+Hljyie1hVVmqfLwCrg8p\n", "icf+EIBn5T7V9+yzLtf11KT4AFjGJ7qSuOyuIZZWqnWANqqLb5CBjA0WDRIB4d/zJAx6zFVNUToH\n", "QodZOx4nP5KzrY15r4VsbBKwT/2/iVhltcokIlbkZoXaQ8AFz7W2K5FE445ymSNB8P2Qf2/sYj6s\n", "nkNlqfL1CpQiM7zmch5KD4BlfKKUxH5/DWGaiHt5svK52BEdQ6WLIgwntNcU2cF72vE6A1DhbQnS\n", "SZKL5WWbKsvLsRay0Ww9QQ9WmQS/QcD9HXPRZXFsW2s7OSxJrBoeErIFPff9e1MQWB5Wj8u5C/EK\n", "uDyksGRcz9IDYBmfJCJWF5HZ5+57g0eyGCr98ype6U0CHtGUe6MLqjEWAc6uSJ0k4ZXqnA5KAmCe\n", "09NUkbCmc6q5vK627Yvc5AFRVrE7OuZOP1+bxbFrrcuRzob9nCUzcwi/NyUx76m7EJZ9nWi5yBhj\n", "V6coxQfAMj6xPV15XvS3ct5YQ2/w7sTFx6KhfvM+cids9gDUOvFzIUniOLAEmIZZ4dpdXj0Sqwjr\n", "3RMeY9ItjrsksiR3qLleWWf8WW/B6+i5Xha00itcnyto/mrEakdek5EPr6PJtp6aFB8AyzgFEcHr\n", "vkrCc1xBCsVfWbtaNHTyEh8I7U6SVq0CsAeYEvBAxzno0qzo0aNVxp0E16x3juNSJGpLfucOAta0\n", "YzTVK0sd2K8TQr9YxLCHBH/XvDyn57FMCOD6XIH3rdrD6liIFTimyj4vpQfAMk7BQCvvhiqUOGvC\n", "iYb39bietFlyDSSploXTdNPTXk9OguLm0atoqq/1jkTgfds4zpEgTOvad1ytfM6lKF4JIIQh1e6T\n", "7znjN34Vorlktj0+N4H2sDp0VyAi4+imTsiKD4BlvAIMq/JupEK5GU4y9PYvuuilC7Jlya3coFxu\n", "esjktvNfgyirjKP17nPUfq7XSBAkHxJlxto92blmkgz+UXU8J0L4Y/hXps9GbuU5vFKfl9uy7nGX\n", "PT8FgfGwOsTgdTRUhXetWxVLyMYixQfAMl7BwCrvRiqUFsXbJk1VyrdJEC4fF5SSsIBl202vxU14\n", "Tw5iJccR4qYLJtywWu82SFgSt6i9WOo1EsRIkUGfhAXd6nm7Oo9GcljNy8fJMZGBALziORfZ3LGw\n", "utkvtcxt2j0+B6UM7WH1u/Ich+IVgKUqvGux0lhCNjYpPgCWcQsGUnk3gUKhdMSqRhgij+tcRDQk\n", "tqwHBeweZN+wpq5lMgz35iVj3Mflb5mkW1mqQhMWalbPsy3js1jytkiQP52AK0L4PQpxlyFjAgGs\n", "hDlF6yQ833aONqU81WxDGA+rh+W5DcErAEcPhVmsNIaQjVWKD4BlGoLClXfjFMqy6CXFuQJXCMPF\n", "HolVSGzZVTvZaBNnl1FMkL2zZaLhs7QakH+OVomN7bU2aUpYWM7Jt1rmo8Wa2pRxGBR71rOLNwmx\n", "atsLvWY3DkHs105ZrwAiWpgBOBtCyEqvQ9R8lR4Ay7QEheIfEimUBsXXJErx3daoJNBDllyz0muS\n", "mpXF43vb5BsPBQ/CDT/LxGG3z+olJEzrVJMVy2XN9YSF4dSwSvVb5nXcTAxje1KuyTm1EyOEPTCM\n", "Wil3XDsE9O8VQFwW+KiqxyeZr9IDYGFJIQkUyk4EydCVUo0wNCukNvGzVET+xlU3xbUdpbg0RX03\n", "LKQb/paJv7B/dpeENekrtFr0VI+n2iBRRiHWSqleb7X29Fp1PXI/vAS7tfC95rn6DYonqKvECD1k\n", "N45BtGvnkxaild0roN9bAzMU6WmP702henzxAbCwpBI3hWK6XSoS4/50XCMZBOCMjSzIMWXNkktA\n", "KG8gQTxUxxhdshQ9LBOqppT+WVuphDWqiJhq03Nd/q1buVznTIktrm5JgO6xnH/fxCqy/ZGrBZBI\n", "kNVfpPDfO2+sbUWMIgniaJWy4zXfZ8/H6E4bWx7fmUL1+OIDYGFJJe0KpUnxKqsFHoSozUPuJOMI\n", "aYHHbcG32bLkEinte5AhOBjurr2z7orZjItyLZUAudbm6ymIlZ4AsUo8E5Ff33Y2gQ8JPpmRuwR8\n", "lqpryff3bF0Lag86vc4ZS/s9JoZY7QR+z+eBYkhSfAAsLCllVaE4K95TAF4Qf9/r8Hn15N79hIxE\n", "WXINx05mDUHCBAT4u/ZI1ILqGrMeF+VbKmHlnBLVLntaG4OdFKNn60vAniNRBsI1jukXCDigffcA\n", "AXeR++/9ItnbJ9WIEZVoWs2yspeiXYG7novIxIqFZUBSVygbBPycpvQ6Fe8HlaJtS4XfMo7R/YSM\n", "iCy5jvNNbg1BAldDda73kyh90NRjT1fWxzrGbAZKh5RKwBl1TnFkR8UGbVNFFk5RU4wPeiycGrDn\n", "5G+FJD401t/qeP8/b/mN/cb3Xddm5fujVMpDFEQGrw+xenzW+So9ABaW1LKqUFwUr2qSbN7I45vv\n", "GmNLXpYijiCkj0WpSIRrjz3Xvot6an9MqYRlXFcE2TlPdrdWay/FXgunOu65l8P3zqPaa+ZDyl1k\n", "fyh5WXvt82S3Wi2vJ3YFDkQQ18JsUNXje5mv0gNgYckh/krzEvX5hIyEAaglrCEtY7kLKz3kXIKg\n", "u/ouEtWJVUyphOqGHUZ2jlHdrfUAAf9Ojk/tI6slMJtLOGTPIdraaWvlpFsHP0/2hxJ9L+iV7PVj\n", "48bQHhjmLupa8SxWejaCkGXrKZt9rkoPgIUlh/jflHcpLv2+7BNyKWuIMQbPuCpdqXb1XVRrpFyB\n", "Kr4nbq38yc5CHUPKL1A9IWKdqt551tILWVzCgeuVID7PbOVE1G2BVN9VVmI9iL0WvD6YB4Y5SNfD\n", "HgJbmAUSslHXIis+ABaW1BL+JP53aKxPyH1aQ5puwO7krqk9TJuyVqIsVemsix5kR8oaAR8hh8+f\n", "aZpjFO5UIMeQiVjp14VpgdQJtE6EtshGjNz3VL4HhqkL/DodeLcwCyVkpeclak5LD4CFJbW4KQxb\n", "7NSnaKxPyPLm9coqCbAq/FdCblzyBvx8ww34cb+5s1k1XIjVOaqfW9fvmNJayLOh0vWjBPwuAf+Y\n", "6jFj8S1WUKhTgfbbiV2BXZ8xCZf6/+NkI0Yo7D6dsiCiMXLDtdL4YBBCyMYsxQfAwpJa2omVrZ7V\n", "OgF/V/6t3Dj3kSBO5veV1J6QG5vv9nS+hgvuCUkG9ODhvaTV7PJSPhD1vYy4KX2udAnNsFOKeI/D\n", "vOtp/undthrZeV58/l7LeU6jxQqSZEY2iUmU9QcRVRi0VgPMujdtSnmqTZh7XPckjZHh+WDgS8jG\n", "KsUHMBfx3YAs0XNtPIm71rMyY2g+QSKTiTRFYNb/aW6+29P5NrhLTKucn7KH1Qpmm7PD2t+hlo+v\n", "asdwsUwoUpe1VdCvVmNShDXUKjdMpYHozMi2z+rESn8QMQuDLvdTo+tUjnUWSrmndXeKe8rVGHnq\n", "+rD4AKYu8PBfsySdd+1JvK2Q5DWqtzhpIg97CNhnvLb8XrHAdX/F6KbsEVTgc5/D75ui5nlpXfuD\n", "7rXYJOC75HfeOiFwbiBtENY0mYhDk2ZibpvDtqrpuuhNlr+qzb2ZBajvAbes2qkr5R7W26t0wlQa\n", "I/c6x6UHMFVBhP+aJcn8a4TjEbIrjpDK3etULxJathghMqWkuytb3Qq2x2MMSmqkSTXfVZaJ96r3\n", "bMVZXQuE6oTAuVWQQVjN4qSu5zeMrNGOc/WMY7KRo8Y9polZYmMc8zM1QVyxz8E+IAxJig9giiJv\n", "VK+rp4JQ/zVL9DpoxNZm2Qip3P0LhnIvR6yQqQfdKqnoOp5uBXs5ZBzWa6Aax0Gyx13pxDh5qyCD\n", "sOo1tFzPr/we8dhLd0K44rQ1sVkLH6FuUqVbBw/QKiHWZfgWvSmJfs+YWzX0Xue59ACmJpJUvQGU\n", "81+z1NbiTbtFJ6pyNwlS9mrRmw0S9gk0jhthBXsg4Du42kR40Gk5u04evSBdSZWFsE6bWGnnLfsn\n", "6tmPGwR8lNweQv6EqvpUn6XmrEEiF/cs2O2Xeo2jGyoPfR8PQfaAkQyLxeIuAH8I4O5DEI9/H2v5\n", "/MfkZw6K/24uFouHMg9xbvgZgL3izyeNt56R/34R7auk8DH5WQC4A8BpAJvqzRdJ3rXGjsVisQDw\n", "mPifOWdteEr++2MAVxw+fwUi6Q4A8LeJ6GcNH/x1ABeBywCOAjgJ4DXt7f8PwH0Q+gIAsAu8CyHL\n", "WMaHiegLLb9h4gCAdWA/gPvrL+Fd4/e78Jo+lnc8vtg75B7+jvjfcQA7Ut4C8COI+b8M4AEAX5F/\n", "K7wsX/+rEMZ6QITLfQnAecuvXQHweYhnEpwmon+rv7tYLB5eLBbPyQ+ogdxYLBbP8X2yOA4sFos1\n", "ea9g2FCa2U1JoLme2H9dXtBo0YmNl1kn0Vx4uW5FalghTwPmBFaw+zqsGn4xT/BMt0d8A+mGOZhm\n", "8Lpx7g3u13ME/CatltjYQ6uZtG0tjNrds7DEpnJphaTrG+QKfKk+90o4CatpnksPYCpS3ZCEsP+6\n", "vDQryBRunUtUOpVe3iSfT6ns0xCr9DFPcmy9pNs3E1Zf93G3q2soAmv28h4C/ksCPm0oVBvRuZ2A\n", "Jy3rrSd/mASsTo7gn4nKsalha+0cvH4NoE2DUHESlsMclx7AVATLuBT2Xw9FmhVkCmK1Q6WsEXYl\n", "mEbZN89Zlygr2LIIaYciDr8Ro4e4GzTGmeXLRCx0jThaiHx7P+pSq592q4kIIygTdbhzO1SBY7mF\n", "awAdlevPSViec1x6AFOQujJiYjUksSvIWFegatPRb6p4sxLck1TZN5OKNlEkc0msfg0jLuaIxszI\n", "fJmIBc6xw0Kk6rSF9n40P9Ns4W2e77bfdKrHxsHv9nnpLBCqLFWchBUwv6UHMAWRFy3tA2gd7Aoc\n", "kjTfsGPiZfRWHv1kfLUrwWtUZWLFK3t/JVezgtVurmNWbM0WlPSZiMM6P6K4rFn/0gpxZN56PC7M\n", "3L72rY2RVUwVFxENnN/SA5iCQEthPS43Vx/B62NWWj2vj0WB+CiOXQJ+QlV1cL2VR2/EqteyA92/\n", "p6RmBaMu0jYmQWfhzJdJlJeozW+UVa6va7qbPKd68NDFbuFFwiQMcPC78z6CQ2NkTsIKnP/SA5iC\n", "yIv5A8Cf6W+jxvRdW23w05j/+lgUZFe8jGrYrNf0uU2+tqXf2HfKKkFdtgh43FQi3sq+m1RYeya+\n", "MjVlZVM+DYr6DIB7QvdB39c0Wi1EqVzlts+sPoggUT02cPB70D6CPSmEAPa8BK9D6QFMQWCUWXD1\n", "TW/DzzcNbpMTs0YWBbmPqkwlnTy4Nmw+rP6+lHnsAW6SZVPjb0Yoe1dScRXAZ0qvceY1yJKRKK9p\n", "h4rnzpZGq6XCfB2tFqJUyR1t72chVrMNfk+hG7Q9crf6vu+CcKywnMvSAxi7QFoTVGzVIYAuoMqm\n", "sPmvL8vXNEvV6103TWhPY5yhEbVeNgV5q37zUWTLtX9gPotVtxJsknSB9S2k4psxpGKM0kRcAo7z\n", "MIAXIC3dsRYWNFsqXpZivk7A3oa9k4tYZXUFZgl+H4Ok1g3QQlt8NwATKzmHpQcwdoFWE0S3VF2A\n", "c/2PN1wIEByyOAicoeGxbrqCXMPKung99Wa7kSDR03yGOZu1qT9iDi0xQOEWFvvx9pOwxpp7uq1w\n", "p/57uVyB+YLXY79fel9E7qmkukEnuuwKDFyT0gMYs5gbUK/7oSxVLwN0AqCNlZscCOJp1YVUOdUd\n", "0S8gztBoXbMaOajIiyoVEPTU+8lM4x0MsWKJXkstBkgRl3ALCxpjivSSEKH1p1IHr29TR/20mEzU\n", "B1HYqltwT2XRDfAoIqqEg9e1+Ss9gDELLCbT67BbqvYZr+2p/u5UerzJk6xVa1Bn/fXhPPViAK5A\n", "liRruIZlLNURAh6L3mtojClyLWLaVn8qpsr8ect7lcXN9nDTfj6236odb7YPH7l0gy9h20Z7ElbT\n", "mk9Vig9gzGIjVkq2sGqp2pCvbcHdFw02y8aukWv69dXq7yACkzPOalBujqncJHOfRwOZJ+DXCDgQ\n", "s9daYopS1p8KqTJ/zBhvLXP0dYi4sqaHG99M1AuoekPS3IhVbt0ARxfjNppdjA3XwOQz2IsPYMzi\n", "srF3AdqRsuu5seVvcCBh+Pr4pl/H3pzPIEPCQLMSbZJ2t0vkOEZ/k8x9HnAm81F77Xk72U7pwvOu\n", "Mt9yrnjD4TOnABx2m7squw0zterm1g3oKCJqScK6oK3JrDPYiw9g7ILMbjomVlFr45F+rSqXxzYf\n", "TpeNibpFJchNkmgckyi62Md5wInMfyXFXrMQidig870kmovrrz9JosFy55y9b/yfIKy434KwVLXM\n", "x2rmIzzLW2BgVt2e9nN23QCHIqLmNQPOYEfxAYxdkNgXbTk+uwIj1sXPyqPmLEQprRNw//Imk2Ds\n", "NovKm+Lv/nrUuRGF4Rdd7Os84ESAd6kqOhtsYaFVYpaiTEIjcTorSZKV6GA1y1bVy4qqLQVHd23Y\n", "9Z7eqtvznu5NN8CD6CJxlqLlnAcfhlB8AFMQ1420HbCR5PE5eN1/TQKeYD9B/t/R3ShxtXHgblHp\n", "ej+Z5ShWMQ5F+jgPP+Ue47LDNzMSq1bF6aPY/MlO9PVTzKpbcF/3qhu61h/5shRHFYZQfABTEET4\n", "oh2Pn9UqNjVBcMzFS+SnCPSnXpUJFeZegL9F5c0uJZhgHidRdLGv84AXmY/JumsqLxDrChQWDFfi\n", "lHY+lIS75xAY/F56f6bY20PRDamJHkYaq1V8AFMRBPiiPY+f1So2JUFUltAeOXc+T716qnpYQCwC\n", "LSqplGDDmCYRt9LHeYSR+ZCsO3FNN59TlCUs2ZqFzQcFXz/a77q2YRqUIo6c60HoBiR2TWLEsVrF\n", "BzA1Qd6eYtmsYlOSOGKlV6x2eeq1FVf0S+HGAC1DzYpxl4TLaYfs1bWHlWnVl4IP23PeWXcXAByT\n", "pOqmfc/EWcKGcQ3Gl0DIdR8eogxFNyBxML0rYRxit5HiA5iqIEOQne1pbAxm0UJzH6tMHRrj2tqB\n", "kLdiwAAtQ6uK8RwJa8i6dv7r8jWz/lG4Ykx93fSl4MN/5zpVVtJWC8srUrTXmqyr4ZawfPsnz7z3\n", "vZ+GKkPQDSmJFUbebaT4hmAJWLQZPY1FzFFs77EFllYBlcEFEn3QTtAqmVDSbekwb/YJSGAON6BU\n", "jPs0Re1KMv0VIzIFp/ZIrCLX8QABj5IoebA8/w8gMvGOwRp/91Pts7rFK8gSllTZltzXcyFTDede\n", "TDcgoSsQI0/YKr4RWCIWb8Y3EIe5iU6/rsjZ09Tu/tKltdFsE3mg0k/2DXtLG6drz7lXvRQjAmtL\n", "ue79PhU8osj8beb5LovNojH+Ti/bYM6faxPmrBaMvoPXR5U5llNK6YYUhCglQSs2/6U3AAtLLmlW\n", "SKbYXSIpyJk8jgN5iCJW92Sav6tu86cH1B92VowIqy2lYoyclWdfCj5yvyiFYJY36DimClZ/goQl\n", "dUM73gYBf0+K/vrSKvZS5uuvl9pSbtdXXhLJUl/zmCxFTKAodvGFYGHJJUiQfp2AnHWQh0sE3CG/\n", "F2RRqf1ewrmLCah3Uozuc3uFgI+bStJZefal4CP2yxk01wXqIIVmsHpTcoF6/SekkSzXAsXBlo/Y\n", "68fvGh9vAdspCSKzFJlYsbAMXBCZfh1DzqRSkkHw97colpgUeUXK0ro6uhV625hw1eH4HmTnmqZ0\n", "w5RnbgWfYr9YjuXoxrQFq9sIlvu5IYFbTY7/IwAuppiPht+YRAHbKQkisxTBrkCWIUns0+WUBRFB\n", "nb7kTFNKN6v31sieQUcUlyL/hPrtUdUg8iNurlluzcozJeFxmL8ktZTgHHivB6uvkeggcED7nQPy\n", "tbXOc0MCt1oDKXs/5pgtv+Nx3QyzgO0UxXYN+GQpgoPXWUpLw41slkGbDfNjZuEFkU90kDN3pWQr\n", "0xCSIr9JObID3RW6TboD6uFF3FxIp26dqbnxzB5mvRaP7NovadfhTwi4mxzO7Q0Ahxt+L8qt5r7/\n", "cStkPizjHVyZEpY01wAGVlHe+7xLD4AlYvFGWu6/x/nJlcK/Qs78lZJZWLQpdV7/flNh0rTZgT0Q\n", "K4/jt7lJm2prqZ6PduUZS3hc94TLew7HdCCgusUqPM4IEW61AFJ2EcA9PvMRNjemDKuA7Vwk5BpA\n", "ZKxW0fMtPQCWwIUbcbn/nubG5cn5TKo5CVNKeisc1UDXpVikafFKTqyyKi13YtXU++4audXWwq22\n", "9Q0lPMYxslqL4WSVSeIqjXKrxZCywHkZRAFSlnyCgVSUDxp76QGwBC7ciMv9Z54X3yfnDwC8EKME\n", "45SSirnSScTLZE+dtxUmzfME7qbQTXFzs7gTN0U2deXpbZ25mONm60Heo6zF3XvLNz7PHmcUud4v\n", "pRiD57wwsZqBYAAV5YPGXXoALAGLNvJy/5nnJuTJOerijFNKJ7TXTLdXV18+/ThpY0b8yeI2+ZQo\n", "cJszG7GKt84kmJteU/zb93R802V3omvKktS/l4uEt8wJuwIHIughaQoj6zZSfAAsAYs28oyJjPMS\n", "YTlaxun4pntH3uA3qCJNw2igq51bthIFbmtlugLTWGf6m5dkbq+GjMYmV6nr3hPkAmmsP1FjCJwX\n", "Dl4vKCiQNNUHiUsyztIDYPFcsAnU+Mg4NxE32seDlGAapbRDFUG5nXKRmYD5zFqiwI2g6BaZeOtM\n", "gjkpkuIPa0ajalsT5w5Ls4f3RY2hn7XI+yAyFwEnTXXPUekBsHgu2ASq0maalwSWo9qN17UIYiJi\n", "VSNKN3KRmYB5zVaiwI24PU7V+6oOUznXTxx5jyd3sLpEoolVrFuNShArOR+9FH5lWb1mOWmqZZ5K\n", "D4DFc8GYWLXOSzzB8VOC8UppjYCvkkGUDuciMxHzmyXGwYO4ae+Frm/cvk9AQFLWGlMukSTjiSSM\n", "75WaEzdy3t+DyNQFnDTlNk+lB8DiuWDsCmyal0TEyv+GD+DlCKWkS40o5SIzCfZf8hiHhnMl0bLn\n", "RapqUxUlVoPLRIskRM9qx4lxq72UYgwRc9Br4de5Cjhpyn2uSg+AJWDROHjdNicJg8j9lGBFrIKU\n", "0q0uopSLzAxRtHN9vq6srxFwG5WyjMixDZFYJYszQqBbLeUYIudicA8iUxLWOx5zVXoAU5ccStH3\n", "yWEbwyr3n3GuE5U9cFeCdULnrZSSKPypSTNJLhu8Hk/e86x1KCEyjvEwRD23D8T73g3HU4whyb1y\n", "TgadVTwAACAASURBVA8ifQnYU+I3X6UHMFVB/orMoy33n3nOKezJ+XyQEsTSirGPqsKVri1pVFbX\n", "9GLeItexwTJUvhxFHHnP89SOiDgjWAudulT/X3Fbx4yBe50OXMCxvX7zVXoAUxPbjSpHKipGXO4/\n", "8/wHPDnrrWW8g9c1EnCd3FqtqJY0XAG6e07NdQtpVp3ugSKOvOezFiMgzgithU63CHiUgL36dz8A\n", "8K0msuM7Bjup49ioIQoTK8/5Kj2AKQl6TkW13cjmXk8E3k/OejNjfyUIq3toi7pb0nAFaL85VaK3\n", "tCmTBeZG3ncJ+AkB9y2vwQRz0unegkeckft5XPI6D5cxtJM6tY7pqtezRO95dgX6zFfpAUxJUCgV\n", "1edmOgexEc7uZsbhFg40uofaWtJwBeiwOSVytwzmeaBoJ+/nSFh67tDH4d2PUiNSn0KAm0z7/t02\n", "MoYeCp22kUE3Uqd+l+tPDUGQMXi9ba+MUYoPYCqCAaSiTm1zJpiPhyBcFx9USmmvVHy65SjOwuGv\n", "pPpxD41Z3ObUZhkEQaT/Z32gsJN3/9ikhvM2iZTX8RqOUSNjKBgrFknq/u/ca8vSvm4pk6Zc9uoY\n", "pfgApiI52TxL9NrcCeBMrNLr+I1RV4AeIil3n9M/oVQuN9/5WSXvYW4tWOON/I5nP0bjPo/Nbgze\n", "K5GkTskrodcqS/w1GZs0ZdurKcJYhnIfK75QUxCw/3kUgowuU4y0AjQG/MQ4hDl1mR93Amh3a2El\n", "3uheCjjeK/CLWSL/NjTnqKolFrZX0Bo/1yaXzd8lAD8ewjU0J0GCpClkiEUe2n2s+EJNQcAZE6OS\n", "XE81GFEFaIwkI6vUnHrMz9mKzITFKtWJ2Xcp4njkR8b2ON6mrtFqTNu+oDVAa8Znl6jfu6/2myWv\n", "ozmK7Zr0sTbB0erlEotsu06HkMBVfJGmIEysWIz94GQZsxG8XKTPGN/oMrJi5rSH+SHgSY/LvopV\n", "wkq8UUgRVNWoOoSMvdzx2WsE/KKppAhYl2N92WuvpCFWl6hOJscbizNmcb0mje8ki0XGgBtCF1+c\n", "KQjYFcjSvC9scTk2s/VNAJflv+q1LKZsjDgjy3NOg+YvbH6OeRCEWqySFm+0KwmLr5vsUfInY4rc\n", "PdDymWsE3K0TGGrOrr3gtFcQ7QpUradqMVcco1pQfB5mkDAWGQktX8nnpPSiTEVSbhiWaQqs7qV9\n", "lCKbzGMM2dPsy8+p3/wZiiFifrYcPq9kOT6NZOxo43c9TigZ02OWti3v65YqF6vdURLkqnuvICp4\n", "/QStjp8fTMcgSGiAwACy8FvPtfRkT0V8F3ob8+jfx7LcHxb30h9SVeyyH5dcnFIb1gOAfU7d5w92\n", "K9d74t8nIpS+i+jETxGpEGIV8h1zDPfRKol0rXCvW+02nfaKP3ndptXWU+YccijF0AUJQ2YwcENG\n", "8cmegmg36PcB7t/HYt0jFveSUl73k4gbsRUSJUrlkkN8RtagLAP2ObVJff7gbOXSC8i6zI9yU3nN\n", "J1WkKMT6lIJYgepZl749Gc2Yre694r5222RvPWWOn4nV0CUVscIIQm+KT/aYxXaDXsh/uX/feAWJ\n", "A8jtT+hKed1BwJqmIFRQsOlWinfJIUng8DAUmL/VozZ/r1ffdXFxuZArNT87Dp+tBa8bRNc3eH2X\n", "qirvwWTZIJm3eY5BP6cTTnsFUa2nauNX5zAYws/SuOZJCFEqgpb1XEtP9lgFDRkJ1wHarN2khpH+\n", "yeK0pllqoWDF/XaNgF8w9oOLxSTOJTcxYhVZZNLXxeU6P13ESndr4cHV8/C1Fm1TRazC3buwZniF\n", "Bpfvc9orCGo9ZVvLYbmoWbqv2xgXHhOrCQs6MhK2ADoB0HrtBoFbmGn/viELMtZ0wor7TW8i7Gsx\n", "iXPJrY6FHGVYrsAE50H2gG1TXAPT1XH3dBxXd2sJly6sljfX+Kba8SgsZqke35mIfHvtFQCPG9cZ\n", "rTYtbxw/AfiVIexLFqe1jo5Flsd4D2BX4KTEZ3PsAnQJoI1qUR/CAErusyzXMmtNp1VFFRoUrF6P\n", "sxxhAsHraZS/i8tOP/e2wHTdeuJfIR4r8UY6+XY+3isBZMzWaiQVsfLaK9Uc3Eci3rApVs0kk+ks\n", "yyy9Xb9Lo8Q2QDtSdo3F3kY9FhmWB2AOXp+QIMCc+Xi1qO/xzWA4sqrUmpYwLIC8rqhigoLVk3s0\n", "sSreMBqRMWz9EquuwPTa/PxBXdk7N022xBu9SqvVzpuPZz+Gf/sfpGs547VX5Pj/yGP8XnPMMhyR\n", "a/26SY7XAToO0MuwxiIfhhZ684R8b6hZ+MUneWwCzwC8a+CYq6GKP8nwDyCvK6qYQo4nKJVLzp1M\n", "tls3Auc7OoYtXvm7Zu8paSJjq/ODwH6UaIw32mveJxqP13wMP+KB+CbJQXtFjv+V7vHfTqLS/bC7\n", "BbBY19i1BU1tr8ISeqP06hCz8ItP9NgEHoFz1wA6iopZD6nkPku0AnE2J1e/E5O9tUHAV71/u2E8\n", "vTY3tt1MYy0NcWvnU2+KaJVYdc8PAq1yHcTsbwC4u+t4HcfoJLCIs2q+HnsPk+N/CSIm1dgj93aM\n", "aXjdAliW6+rbguZ1SaqsoTe6fh1aFn7xyR6b+BArV0ZdouT+3AU9BnJXikoRCtffUqIU+4b67WhT\n", "NhJZNxx+J0sMW5zy/2ch602hjYcj9ucagE8h0MoXSu7kd0Osmm+kmAtYiXheyzJLfoHF6mQTUx+i\n", "JfRmqFn4xSd7bAJHV+A5VJaqIZbcn7ug59IDAM4k+D0CcCbxPHhZN3yVtbuC9rc0BCp/CrRQvucy\n", "PwnXJVumqsfv+1g1oy1Vq7+riHiMC30YCRdzF8S1oLnZpW9VFr6WJKZft73r0+ITPkZpY9BKjsuF\n", "HWrWwtylALG6C8AH4ntRQcH3ZJqPVsKEgPgoZI5hC1T+HuOpubge9CGUkWuRNVPVYxy9WDWN3zTI\n", "cnQvxEGUCJmzyPvA5Qh96FyzahdVluG+6vu9194rPuljlC72vYuqftVQ62zMXVCgphOAFyKevHvb\n", "FwbJCracIFMMmzE+L+W/qribxlGzcvXqnncfYz/xRHC0aiI+29NCxJO07BlEUdu5ie3eEagPaZ//\n", "4vdWDNR67qUnf6yCFn/xDvxY9lA2w9wkl+Jv+b2YoOCg3wwYn2mVkla2dfKxnOQgrg3jU1azxxyV\n", "f6+B+/n3SH/xRE3EqWNdfLI9LdcjE6sxin6dKZdepD4clZGi+AKMVcyNo2ckMLEahwD41QiiExRA\n", "DuCs+L6PxeT2qN903MsRTYlrlpOz8pjJXK3u41tapVqtJijg4vJYi9EUcLWvi1Ua59EgaxYizq7A\n", "MQo0w8OlNPpwVGE1xRdgzGK7Qe9Hzbc7KpY9N6mvXT+uIamMpFXFxWKyL/o3HcbjEc/T1JS4Zjk5\n", "C+CeFMTKf3zuFiZEliXIsBajaTmEWkHPToJKAH6srwvsVq6G/eLbmJqIg9fLCYxQmQShMTv68bq+\n", "t41+i4Fa56D0IkxBGm7Q742NZc9JsHS5HKSKMDlXfP5M5G8fNvZKg0JaWqqyuaMQFM/T1JS4Fg92\n", "IQVJCBufHwlFZGxQwrUYTZNs1Ap5OhFekt9psD7uo+ZzD2lMnbZbAEtt7bsSXVaSu2KTudASeqPL\n", "NoZRuqj4Ik1JjA0X3WySJetaaS6X6+TWPuTw8kJP8Pt3YukWDHOjJBhDRDyPrTmu3owYBOBqNcdd\n", "x1ZSWRrixje+kiVjIVao1WXzIryEWmamTsZ2CThAzUQ8qDE11wRMv+6tsXRoKEfkW37I1IdoCb0h\n", "lC0Gap2r0os1ZRkby56LoNHlskWiKveyEKf8+4R8L73LBQXdUchSvXylmClFlDcYTbxR3n3ZJf26\n", "AgG8HEF4qZkctbn8ghpTcxeLNOvt2obmFGQIgC2eKrYFDRpCb0oXA7XOWelFm7KMjWXPRbotA7sk\n", "spF2aLWnXB7LAHp2R8Ur8aZ+e2p+vqzm6Wq7MlVStzSMhWRkWJdBk0m5Lu+Fj/GOln3Q5fJztSyX\n", "V6xTEfi3obnYRKxStaDBwGIjrfNWegBTlzGx7LlIN7Fqk2mkcKeZA7MpsU66Luk3PO/yBnNdI8SV\n", "5MgeQlCtSyjh3UvtDbBdXH5bBDxOmstZ7bPBKNapCBy9LkYbmvcBe6B6yhY0fT+Mes1b6QHMRcbA\n", "sucic7WGGHOQgViZbsIlwbnHfLjosjTMlVjJcx9sEVOIJtCJ940u3i6/i3J/jfp6HKIgrg1Na6B6\n", "SwuaS1PQh8UHMDcZMsuek2DgLpcezj+xK1C3nJy3Ehyfh4s5k18MuIhpHkJuSjqXH99vo9a6s3Wb\n", "KXobGhdCtgvQT+oEaxKJW8UHwMJSQjBwl0tPc5AoeF23nKhSDK0V1J2U3ZzJLwZaxFReNxE9L5ti\n", "82yyRcBt5vk6WfmRqBr8XAUN2X1dotWeugXMN3Gr+ABYWEoJBuxy6en8I8jleVq1nOjFQ+MJDpNf\n", "8rLyZR6Hpf5UCOF9NICM4Yar1ck+zvKEdGwi5zq2WvpFYJ6JW8UHwMJSSjBgl0uPcxBALvdYFJXe\n", "7iYdwZk7+dXmoWblM/+f+beN6vdPUDjhfSKAjLmR89VxpqvSPzdJRKyOmCR3LolbxQfAwlJSMFCX\n", "S8B5BCnaAHKpiV7jS30+LcFh8rsyH727uOzkNqhgZyAZcyPn7iQ8vEr/XATxrsDltYiBWF17nb/S\n", "A2BhGYKM9eJPoWg9yOWNilB9mURJBcpOcPokv6EEtYd1LuLiQqM71jt778dYtsFJb31sHmeTjLtK\n", "f097Ljh4XatrpRf4HOS1lWXuSg+AhWVIMpaLP5WibSBmJpl6VhLPota9nOQ3BUHNvNZFXFxoTSDw\n", "y95DRutj+zibZBqJDhn3XXBbtlOoxU/NjrgWHwALS1+SkzT1SchSKNoYYpaT4PQ91zHz0OO+zeri\n", "appPOJe8sLWCAkFUaDfLaCQn5+7jNGX8pTn62ns+2X2b8jW9iXLp8+h93koPgIUltyCjNSLnsVt+\n", "M0rRpiBm8jijsO61zOPgg52R0cXVtXfhXbNKbwW1Tx3PWqQVCcm5/zh1GXcx2T6vEZfsvqMQ1dXV\n", "e3MlrsUHwDJ+BTVUQUZrRM5jd/xutKKNJWYJz6Xovg+dhz7HjQwuLo+9eyY3YUkxl0yssl8n9xj7\n", "wprdt6mRKiXaZ2Y1v8UHMGfpemIsPb4xCzJaI3Ie2+G3oxRtCmI2hX0fOQ83+xg3Mri4AvZuRDHQ\n", "fiwVOeaJpTa/awBoL1bb0GzI17YaJpmJFUt/k255YpxLfY8e5zibVSbnsTt+N4UCKRbka9v3peKZ\n", "IufBadyItMYggyUmcO8W2S89rufsYoA857ZWemEXoB0puy0TzK5Alv4mXHtiPASRymr6rE+ilq46\n", "6bo8meY4d1xK6LFf7jp+x2+nULRFnuwxoHimeIK6RlVbFuu4jyGBRS41sYrbu+uO39mmEtXv/c+t\n", "zDjHKogovTBH4lp8AHMTOGZZXME0eyj1NMfZnl7jLR3hFplEijb2+0Em/UBLSZZ9n2YezUbCpoUn\n", "3iIXTwDrRDh+7w67+r37His7zjEKIkovzJG4Fh/AnMR3c17BvGuBBM5xtniL+GPvpZgCmonOjfom\n", "VnGWkiyxSxmIlTnuJyiFRS7VQ0KCvSNljYZa/R5cpT/3/HqXXpgrcS0+gDkJ2JzaxxxnyxBKc+xL\n", "FPO0HKtoU5BOeMYNpSIHCfdIJMnYoMoV2DTuEw3v+1nk/Emp3cWV6LowZFj1vuR5TqJF1RAFnqUX\n", "5kxciw9gLgJE916aXQBg4DwPgFjp9Xx2jWPvUIxFJlbRRpKcS/CMG4onMXn2fdw8NJEmfdxt5Mtv\n", "/ZHAxeV3XZj7V+3dr9BqtuByjQbV+gkjbVE1dLERV068ssxT6QGUFvRUk0bd2CK7hc8qZTViPQu5\n", "As8RcJxEoK9as3UCHrUo23CLTKCiPSPHH0PMqFLObhaAnEQ3cp9EzMN5x3Hb3IVK3NcfCVxcbteF\n", "bf8e0P7dJcPidib3fTPR/YBrBKafVyaubfNTegAFN0avtXSYWPW6tj0Hr18jt55pHyXRX40oxiIT\n", "oGjN/X3Wn5jdToGtcwZJrOTYAgjqpse424iV3/ojgYur+bpw3b+bcv9yA2OW5Z5i4mqbl9IDKLAR\n", "itSQArsC+1zjbKnXq8e+RsBRql7rIh9HqSJXUQHhroqWRHuRlddvuBOzfQRcaJm/5rghDNQVKMfm\n", "SVD1tesad5srUIn/+sPDUmAqPft1Ebp/uQYUC0uTFB9ArydbuIYUOHi9z7XOlnpdP/Yj5PY7OvlQ\n", "Vo94i0yDoiXgDnLITDO+YyNmt1M7qdLPz27FwMCC142xORJUZa1xHXdbHJaSKGLdaClAuzXesFYq\n", "S5Xv/uWq5SwsTVJ8AL2ebOEaUoirBfIHKUne1MXfGhHa0sbHMqaTj5eTKiapaGVvt/s9lCTOWojZ\n", "DYhAdbKTIVtwPlETGbJbStrE3YKYcL/YCOqO+DekOGZXHFZ6YgL3yvbyHNci9u8WxT4YGOSQ3Uks\n", "k5HiA+jtRAdSQ8qV3G1r5O72ahyzTV8NnOtsqdfy2FebyUeTKPLxgJWExO7v0FpRWHUbWdx3TcH5\n", "x6Wibe1RN4rijZZ5yBSHldYiB//K9hqBDM2MDCNWqCxqes9FJTfBvVJZRi7FB9DbiQ7EDQfPWiBH\n", "AboALrgWOefJM1iayUeXmAUX01hkkNDdhpWAc5/g5r1WZYuRFm/sHvclAr5MIqZKEbAul2F6i5w7\n", "AaxZK98P37/K2uVucYO7RW15rxvCHmBh8ZXiA+jlJAcWOA5h7Tir30RsAfSbAF2XY+Eq7Mn2QRKX\n", "wyr58JGlIjmTen8nan2inZtvcPNSVjJsMdLijfZx7yXgNgsZOEjA91rmvNkiF7I/5Xc+Vf22q7VS\n", "WR2jC4Y6PXTC26K2Rx1/EASbhcVHig+gl5McYKkDqXToAYA2tBvzBkAnANqyjIUD2ZPMexJylYhY\n", "3ZNyfyds1qsRtWPyfR9LyFIpLgmErhwx0ho4ctzfAnCrmxweJuBVgzislMC4Rx7Xu/SL/Tt3UOWW\n", "bVvzawR8WBt78J4hOFrcEGRRW1rF2ErPMiopPoCsJ2fcfIZCrGBY0HYB2pGy2zIWLr2Qbi+4KC/X\n", "NSxdRiA1sZLHfK6ap9Dg/M4aV6OqgQP/OCayl7pYEs+PwNOCB2d3WlsW46YxjmBXtmsWbUT835Jc\n", "DZZws7CYUnwAWU7KevMRUtoVKJXJ3QBon78W5GKhSfZCsgD2QZQRyEHyKmUYen6q3IBfbzzjnAZF\n", "uhAWxyRlQ85JLRvUh6RdAHDY7zu2ulvnqPr+YxHrizddr5e46yRtkgcLSx9SfADJT6ihVtVxeYMr\n", "FbwOu8WEjsPu9msSJlZhe8FDeTmTK/8n8W3KVUYgNcmTxCYiuFkvkOleqbvhOsnWESHfWuvn/EOy\n", "tDK6GkDS3vD/jpmheJyqfaKTLO/9+xkX8htP+v2D5FmmK0N84LKOs/QAMky8tZzBOXmTDqwhFawE\n", "4VjpXQ9UbxJ2BYbtBU/l5RXP4f4b28G/4TiO2ObMtZsVkrgX9ZYudRJn3iBt18mQAtvjiKuy3tXm\n", "3GOtrlB8zSkiQe5U0LoiOa4FQmv796wr+U2zj/ap3+CHyZ5lKEQGA33gahxv6QFkmPxG8rQpF8Sn\n", "hlSMEpTK4iIgSFpXpfejaCdXHLzuvxdC6zp5rvEgyggEkryrDTerT6YlVku3407DDfLNar3SWhYT\n", "zGuk1WWDgD8x55z8SNonKJ7Y7dDqmupZn077t2Zxd4gJY2I1QhkKkUGhFnTR4y49gMSL0Fqr6hoE\n", "eVFEp6uGVOgNXNuU76uFX0Oz20+v9L7ZMPZtpLGgzUXQY/wTBlJGIIDkdY03kStQiXl88zfzWRYj\n", "5zUBOVgWVb3gT9J2CThA8WthI1ZEIg7LpU6ZbmlzI7/xpJRdgX3KkIgMCregixp76QEkXASnWlXX\n", "UVmuUm8c101pc/vpdapM8rUNLhAauhf6zNjDAMoIeJA8EgTLJbMtxkqiixrDV7Tf9I3zCbMsRs5p\n", "iqxLgrBUfc7/WE2EyOf3VfshRVRs18WWXDdV7FSRske1//uTX3Dw+ihkaEQGDWE9puRqQRc19tID\n", "SLgIXrWqtiDqRek1pGKUoO+mtLn9lKvvhPadFBa0uUkiRRjTGLl4XEILyfupu4K8l/xIzzY198pT\n", "pHWd6pYsPZjadY36adBsrGeKKvua7PM4TgpitSXn7Q6H+TZ7QT7uuQ9W2iVFxP8tLVZspc8sQyIy\n", "aAjraSpNNLQC2sUXM+FCBBUB3YUoe5BAmXpvStPtpwWn62NabmAmVX57oRSxchxjL+RL3qCex0ps\n", "zGPUXUjyCgG3kxsR26bKUnEbrRaqtFmybMHULpK+FpjDPEYGr9ssga86HifWFWgTH5LjQsaazn2Z\n", "rBAQ/8cFQvuSJiLTJLmJDIywnnMQoTTr2h5eRz28ZkgxyMUXNOFCFGtbE7MpTbef4TYcfDXqIUoC\n", "C0M2hY2egkKRpJAkEfDfaJ91idtaWI7/I7JbslJYYvoJaEaU1UU/Z91Vdq/H+cYEr9fvJX4k537t\n", "GOHXErzj/7ilTZ9iEhkXyUVk9Pv3H8ItdGcToFfre71oPF7xBR3S5kCgFSHmd08Yr2sb5u7Sm2PM\n", "goEU79TG01s5AXjX77IVktQ/C4JTGxdF0szj79Pe1489HmIl5zXA6mKeM1HdVdbWV1A/nm+5BZ3Y\n", "4Vf0e4k/yUmzRvCK/0tzLbA47euh9dJdA4TXRiWbuYbXpPA+JTmH0ouaeIN4WY62UTNnvoQAK0Ls\n", "plxD5SvmOlXp98JAindmLVRq+b2A+l02AqBkqfg+KR9ANJK1TsLVZXMr6sdfp1XyNh5X4Oo6uhCS\n", "NsKqSHzX/tRJmmuB0Np3rG40D5JzJjX5RRX/t2MhUztgK32vgsAwGkK2lm9rAGiPPLZPeM2eDOMJ\n", "OofSi5phkzjFOm2jFoC3FN8MwRSb8rMQgexD8hFPQdwJRrci6mcc8eUE/AmlrZCkKZWCrI5/kIBL\n", "tFpSwff4ww9eN+bXkZB0uVj1+KcNcqx/dtiP2HUTdHRksiKjWx11D0FUvCEGkDAyVhkgsVoAuAkE\n", "x3ztlN4DxRc1wyZZPlU61qqiDYC+AtAl43MuqaWJNiUdQS1DkTNgEu+FUsU744hOUHZqggrhuqzE\n", "yiQ+flRblWLXiZ2QqH6AXUkBSmwusM6Cm1lqprURk7g1z0t+MZBClmMWDMwVKMd0GQgO67lUfE5L\n", "DyDTRlm5+TRYomih/W1mGRC6U0tjN+U6QPcbN8TS8zclyaWIPH4/uVJqUoKIti7YinpWY8lzfKLA\n", "tiqDuE6wzEDd13BubbLcg39jlaS1J67YiV2eZBcMyK2ujWnQLZDGJhhe8PrNCKLHFqvMm6Xp5vNn\n", "XaRLL+LZlVoasylPrB7/M6XnbYrSpyLSfjOpGwUdT+eVkk/VhqauINMfX4l3W5XBZIolWGNzHT8J\n", "D3eW/P27kTnZBQNxq8ux9BqzOAdBXHxy6pjUQbkmg86h9IL2tGnUE/5HEFjEs42dx2zK8w7HZ8my\n", "F7LHYqQhIliD+9N5gkBjRXxWFWSa87nU8P51Ah4hh3McnAUCUVbJ24LOsYtkZzjH4m51bSy9xSzO\n", "SRAWn5wjJtWZWJkFQ5lYDXjj2Ip4dvmTQzalXiCUMwKnJ4mI1fJhQCitr5CI4VFup5Wn8w/Ev6Gu\n", "ukuNChJJrDNOgdpvomBboIB1TlDjys3K4kGykxNQDKAnpv9c998CaawC//jkLOQZDuE1toKhB6q/\n", "2RXY46aJLuLZxoZ9N6Wtpc1Q2DZLsj2XwhV4qiJVqvo2SJQp0Kub157OKdx60q4gERczdtVVKWNA\n", "WV5tY8FKw/UUNa7sVhYMxAWGgj0xI/cfewO659c1Pjl3Q3lreM015Ov1m3T8pReyxw0TXcSzifho\n", "N957sHTHNC+6rQlz2/FZxiuRiuD7xs2C7ARIpfZfochCkp0KEpGBzLmVckpChnZ32zFTAVVV52Nr\n", "XNmtLBiYCyzlXHv83iA7KkxNSpJn+fsrhpBr8CsYioKxdcUXsKdNEpW5twFRisG8OFtuvLcAUfwT\n", "2jFOYLWFjflbfPFPS8KIyIZOdKTYrDv3WhS13sbEK9D4jKuCdFfwteOb1pekSrmDBHkpAri72+T8\n", "K8vRdaoyHNu+11Xjisi0svjvo2m4wIx9MvgeoFOTvsmz8du18BplqRpCk+jOsZdeuJ4WKDrL4MvV\n", "Qj1ru/HaLFOHAfp3WO3EbRMOXp+u+BGRj2t7yMXdc0T7ziZpT+cfVIo/baAxegpkdrmpe5AgJ9cA\n", "vN1tR2iVJG2RqGe1bozhUXKvcZWyfljzPaWk4uxYBxtRlpXa93rMgRImVmMT/VpURoqhNInuHHvp\n", "yetpgaKJlVa88zPwyCw8ArvbT5dt5EtdZSkvAUSE/Nw9j2jf3dKVSM0tnTLQGAkCmZuUeoNSXbE+\n", "+ZMgp0rkCdsB7VJVAHWf761Hn8s1JHaBuc6xx35oi0NzJm9wJsrHqNvq1z0PLMMW8z4zhDpbTuMu\n", "PXE9LU6UK1DrP3QKAZmFj7R8bhvlzZYsvexBjwa0Ie6ex+W/J0yFnDumyfv4LUr9BQBnHeZIBbgn\n", "jTlClnZASRpN3+13jF35uztUNcBeNkJObeFrI2iPt7xnqweYsHm4Lhy8PmaRe+xWqP4uQaiLT1qP\n", "ixNTWZbkBX8MCDNHPo4yqassw5IOIvKy+H+Iu+dR+e8a2W4myOzycTm+u1K/nYAnO5QqXg8nQY2E\n", "L8Ld9o9JEBmz+vouVdmcwdYmx9iicyQyRU0XJAii8GgyC58HQWt7r0bekNRaqGSbhtACiSXonlLb\n", "Y2MqGFp88npcpJjKsn8A8YQcS84GmRrKUmQ/1ogIkrSL2afvqUE9nfsr9SZrxDYB92nnmSbmJDNo\n", "4gAAIABJREFUKH7+lZhlMIhiG013j+0auQXN4y/8iYu1jVfLWl7T1sedvCGLtXC79TxYhiswyhcB\n", "oH1wi1fWhYlVP4sVUln2rPxubKPK9zCioocs2fZgU1xRgoynGrEa1NN5mDXi09rrTdaYZDFHqeef\n", "quy/+EbTaLSm6e2A2ojMuucYmi187Wvp2vexTt6az69NFPl8wHLOw2yBxOJ3v7gXoMdq15S9p69N\n", "2BXY32IFV5ZFggB4TaEOKgOHpZe910Ofv8oCWvp8LeceqNT/EwL+pnF+isCkS7tPM/87ZLe8vaqN\n", "3atEBaGKJ2uYQ1ci8xiFE5fKwte+lr4EskbebkUQZW0/DL8FEovb/eL2+jp61YQkcPB634sWVFk2\n", "FbEqff4sve8311iUV7Cs3h2iXPaq47w5NEWCuFIBUvRsyiQB4bYiv5GuWD2+SrfIHNbXhtwyQ3+e\n", "TIsLVixFrkRmlyqLVZyFr30to1yeseupC3sDRiwQSSwE+Pf0VbKNspn2xSex4OJ5ZTMh3hXIqb4T\n", "F6zGTfkGC0copjvU9z9Teh4scxJAWF6yKEwVv3SOUhEFY6wRBPCE5b2aRYYgSrU4kGy9kn7NXWaU\n", "7fiE435JQ0Tb1zKavFFcSYrlg8XdfJ8dr8g99j4Q1tOXMIxM++ITWVpMZdjx2Zjg9UEFE7Mk3UNN\n", "br6rdQtD0zYx+/wFt6MZlAtQzo2ni801EPsXKJwE2a9FJGmm3PibV+u/cQfV48U2SJAzMxC7HusE\n", "a9mOLiKTjFitVQTIzH5M8hsO56KLNXGDvQIjFgCfAsIy71/GcDLti0/kmARxmYWDCiZmSbIfHN18\n", "j1B3vR3TuuEdi9PrTcT1gUTdKN0Urmsgtm7hO9gxT/p8dafdwznIXp//tpT/tgrqer0pk6joYo11\n", "+qT7vEZbk3ZWHxzM7MdUxCqm1Ah7BcYuAJ4H4jLv1UNmKVJFYmTlJ3NMgrDMwsFZElii90GGYoZK\n", "UXyYKtLgUqUdr/R1E4Fnxe6KSLgo9aCMMofP10ho67UI7yr5tnU1CVP6CurwtgTGxj91uS6vURx5\n", "i2ke/oQaC3sFRiyID7fRA96LxtcVn8yxCSIyC1mmI+6WDZ9ihkrJrJNjXaJd9BRThYCK3ajF5HQp\n", "9aiMMkrZsxDOVfLNZsq2khDrBNym/u9ZQV2XetA9vGPXYko+rJPbg8NvOqyzKXqM2jHyJ8qPEBcA\n", "nYYgQYKY3tO36LmUnswxiu3Gy4U/5yOIKh/wQ2p3/eip+6qZ74a2pzZIVPleBqtnjylBYMXuyqqi\n", "Aovb5ivGovJR47pLk3YPe4ILrTZTdi7QeSYVsZLj8wy2d7UI6sRlreOz+oPDpxzW2fwdPUbtGgEL\n", "cifKegNy9gqMXVIQq63qWivqFi4+mWOWhhsvp/qOVOAeN5SgfICtQjdRnVip12yxOPayAZnmJagn\n", "H2ruqjalHhsDtEHCIrOMtUl6LWr74vnVdfeOC/sg/DxX2hR5EvwfEbCH3InLHgIuOBxXf3D4dMs6\n", "66KTt9uouhbMIqtNJPUwaQ8c7BWYgCDSFbgBUZV9COWNik/mFMRVIbMMU+ARN4ToekewKA/lUmqq\n", "idR4rOxPZf7KeyWLTc7VH1JFQEylniLweYc08vrNHNeifS5C48LisxkhLIlv+BOZD2vjaLSukejX\n", "6DvG36SqpY0LeVtYfnedBFE2rbVWYa/AhAQRmfcn5P+ZWLGwFBSExQ1lrND9pPzbVhNJl/ayAYnn\n", "KMY692z9+9epsmjo852ikvpPqI9YG9Ssd9+lcNK57vidbet5oeae9bFC1dxnV2G3tt+Me3CwSVuM\n", "mnktfJiq2DVlrf0yWcbJXoGJCSIy789jOHUji08kC0sJQXTcUCyxUq/plozb5b9NNZGoUdFmmqNA\n", "69wl/eZmsfKoWBxFCHQJUebrBNyvjpE11qa+b1ScW6hLODybsU7wLtBq2x839xlWi9qmaK10A8BL\n", "1Rzdpo1hnez1usxrQU/0qO35XympMFnyCwIy71WB0KHUjSw+iSwsJQThcUOJW5+o31CK45eDFG3A\n", "+Xe6r/2VrLVRsqVQqh6XtEHCGvEPKJykLAP5e4m1wUrySpBlR8Za+Wcz2skqEfB9Wg3kB9WJTbP7\n", "TB73+QTESmUuanN0kAThbnNxm9fCVtI9zzIOgWfmvWpps43h1I0sPoksLH1Ls2JqkpW4ocStT/T3\n", "77Ao2kskyEd8sC784skciZVzVpw8h6dJNCY2v+OzJjUrBjWRhYx7KIVl54zDnK2cV/f+O0cic1Qn\n", "uMuWLy9ZzsXiEg8mjHqtrbuw7I8Ycq08QL6lMlimIasPL+1NmLcxrLqRxSdwTgIOch+ExBEjPOtP\n", "zHQS0OTms8Wo7CWLteF9iCalXvElduXpU4eqScmGVEtXso/swcteLrKrvnORaA+lIFZriOhZ2k18\n", "9GzSmntWzyy0uMRVdmVcgL3fWFuvBQ5Qn6kAOFaRcyFrEIHqWxhu3cjiEzcHgWe1apasaxF7s1et\n", "SRK3PiFd4f4ugFs+JKjjnIPiyeR3O0hoUFacETStxtSWOajG6V/wc8j7yDieS6mPJIROO55lH8cU\n", "E60F2KcY602+T85bMMK6kcUHMGWBxUow9A0xdUmlmJCk9Unj8S+GkKCWcw6KJ5PfbbHORVVLP2sf\n", "03VydCsWv2a6SadN4jI6UxKr9rUNKSa6EmCfYqyDWnOWcoIR1Y0sPoCpiq54D0HU5TAD8E7K90o/\n", "fc9JEiumwNYnNllaMm6FkqCG842KJ5PHaCBmsf3n2sZkqzoPgsg2G8RN1H9u7ZYdz99MZilrJ4a6\n", "i9fJevimef+KH+sGCRem34MEy7QFIwipKT6AqQocU0avYFhBd1OXlIpJO+ZDWGa+6fIA2dPKbeJK\n", "OHRZJUGW8422qsBqnbtEcdXSXce0UsdoUI12m0mnKc2WnYDfTLGmDteBzXq4j+zV0e11g+LGqid6\n", "uD1IsLAMQYoPYIoCzyJnV1ALvhvE0/iUJYVishxTIx8HKMKSkWxcia0bFuucstDZWu6Yoj7ztvbd\n", "NMQ24z5xKUnh6RKOt7gggaUMXpbbLQL+HmllLaTcLl9fZhyuVLqOG6uZ6NH9IMHCMgQpPoApCiLK\n", "8g/tiXyKkkIxNRzXQj68LBnvpyQcfsrTFHsvQqzEOdxG9bR+sweitbZV0jFl2h/OySb2dc8bF1b9\n", "3n3UXh/Kbilz3xs+pTRwT/tYXa4FVej1sw3n1F/XARaWUCk+gKkJIhtJhj6Ruzxds9TmK5sLR5KP\n", "b8GvCOTFDCQoObGSx3Us3XC3RSGnaF+Th1i5n1djgc1egmsl8Xuh2l8gYU16lCpC21lkNEcpDas1\n", "Dk5Wvcdp1SJma1TubrnkeyJLKSk+gKmJUmb7/bVGUPNIcCmH0HXK7sKBsGS4FoG8JwOxyhFP5lm6\n", "YQ+JHojqM7tUuUqH4wr0P6/m/ZBLobsTv5VWQU1EMEcpjVdargXL2G3xWl0JIO0Em++JLKWl+ACm\n", "Jn0RK9tNlks5eK9VLy4cOFgycpAgedyk8WRwtvQ19X0jiswmzOICCjuv/oKoA4jfBxBW00YigXyl\n", "ND7jeS04npMqWdL4IBFlcWQpK5iQhbH4AKYmcnO8D+RzBYJLOaRes75cOK03jtQkSB4zWTyZ/7HM\n", "vm/q9WQFKJPciOPOqx8LSC7i13zcKPJ71fFaeN//nI6p33CoIB9X/42lH8EELYzFBzA1qW7S+YLX\n", "1c2QSzkkX7soRZ3g+7mC6pPEk8URP7NHYngBytQ34hyENuWeyUn8kK2URufvxpzTyrznIp4s+QQT\n", "9roUH8DUpLpJu5db2EZ3V27tBvwpn2NzKYde1rxV0fsQrlQkyDhmdDwZkhR71LO8vAtQXgBw2LwR\n", "x7p64s8LN1zW1XfPGJ/NYcnU92RLKQ3X31OyXItvdpx/zDkR6pbLwVsc5yKu9zpM3OtSfABTEv0m\n", "fUxuiC6r0jZqVqVb5mZsuAFzKYcBCNxjOt7vUp7GMaOD6s0bnF15emW8Jcgw3DFe92pfcxgZXD1p\n", "zgsEx552HnvmlFyz1D0J2wjdY6i5xKPmZKdJySY4p1vG8YpZHFmc9pWtRMmkvS7FBzAlgRa4fg2g\n", "o3JDHIQgNyYj17tyL6rNo9qlrNyA92l/B8Zv7SAiFoWlttYtMR3XSIsF6VSelmMHk6CGG9xNAJfl\n", "v+YxlPJtjSdLQ0BMYqVki0Q9rOYxIV+MUYLzWslsa1rXkDigJNmitvtJB6HbiSA+SposuCnbSmVJ\n", "+mDxug96ufMwgwLaxQcwJQHqGYHXAdo0Npht022iRppqDX51M+mOdgzfO1JIKQeW1rVuUPRpav/I\n", "33AOqndXnHvIlQgYx0/sCrR9Bu81KOPHq/lMHmOU6Ly617V5z9jGvySHZxKQkI/An9B9W/wdYgXS\n", "SbKVvKU4J0WsstRqY3G6Bwa58zCDAtrFBzAl0W/S+gbbAugEQBvazWVDvraF1YxANJhJmVgNQ9Aa\n", "0xFU+6crRqorm9DTEnKUgFfJ13WGpMHrts+0KuPA33VKBkl4XvZ1bd8zTftjSQ5vhhM/3AgkdP/G\n", "b7zbVA8u30siCL5pD6ripsGuQGX9YGJVSJr0lCmmO8+mI7sktoB273NTegBTkzY2vgtBjnbk3+p1\n", "nY2jxUy6C9C6/GzgpuSbSMI1XlXEUbV/gk3cYYpz0/JaJ8FL2PfN9pknyB5PpvZuHldP+vNaXdc4\n", "8oZLEd99KWJPktu+2tb20GFqJ9K1/RZ6ToTK+sGuwALSpqdsYrjzJm8cKD6AqYnvhtuub7gH24gZ\n", "AXRcfjbQjDqKTTlkab+R91/4Ms4SsmV5rdN1FpC1aBYItX3mkYbP7FAfFom051Vf1wTKfyec+Cli\n", "FbQnb1X3DZdEiiMkXKNtRFrttzUKP6d71fhU+Q0OXu9ZuvSUTXQ9xMSKxX9SHU2k21gxkXb2GTwn\n", "Px9I3Dh4PX5tG1wPuxRZ+ye0R2QiN5abooF31qLZ0sb2mSNUtSsxpTdi5Xleqgq407qmcFed8Sd+\n", "ldslcE++pz2QaWJz1T5CwMepm3Cu7DfPc9ok80HA/+GiRjwb67+xNF4rsf1wKeK7o7AwFh/AFEW/\n", "SbtkBKIyazu1w1EB8Z7EjfjpLMnaNijJfgiAMZaEAeVerjPXrMU3uj9zL60SlF05nzsEfEB9EVb3\n", "89L71jmt690J9oYWgO5chiNFRiFVvQfvIBE7pV7fINH4+XFyJ5wr6+PRqFw/ds0ieBeWCR7p6r+x\n", "tN8DI61OHLzOErT5Vm7SDmmoThvWt5TDnuq3+Oksfl0byEwRYpW4BILfOODWA7HpM++tzuE5Eu5U\n", "RaQg/75f/t2Pq0eO+ZvGdUrCwrflMYZauYPoOCB34rcsmZDQUrZm/MY+Ws0udSWcK7/xfvc5mce2\n", "Beer8TgRzxsYUcHJIUkqYpWygPbQpPgApi4uykf7rLOJ1bWUw5p2sy09F1MRWN1v/bsCSxMrY992\n", "tWXRP2OM+xq5FQrtz9WDGoH+UPS6ru4Z3SrXVIbCTg5d7ylIE9ituUjXCHiA6iRL/b03Yg+q75+g\n", "KkZLWcTayKz+/UMEXHDcR7erv0dRE2lo4qOndDFcge8DoHvhFy5T+tyd56j0AOYiLspHfs4rKHAL\n", "oAfqG5bW5GsaqRpVO4ChCxpjOvoNXpd7iiIUJwlXW+217DEMdWLlWvdLKcP8rh5URValVe2B6HWt\n", "9sw6AY/RqlXuONUJRDc5bLqnGK9HB3bDaimzWayCyRtVJNuFcCrRCZN+flvUTtI4cD3BNRwcvH5b\n", "bc+AbgfoSbiFy5Q+b+f5KT0AFmNBIrIK70C9OrtSLmPakD3Mb1SjZO04liwy33ILcZaViqAEK06q\n", "LFb9KRvULCmqQn0XYbpAnq4e7xsxrEVWFfGJW1d5bIeYs00CfkQh5BDNVfeT7Ek0W8piykE8izir\n", "GjV/t4mkcamFiOtW3TuD9dR5WIuHEsBNmFlyLkpYVqGWGt3domRu0qB0Wvv2dRyvIYvsb5IbUUhi\n", "WdGIVWghx50VZZqKfHaM/Tn/sV8gzY1DzeTE/0aMxiKryrWkXF5e63oGRicFtwKuKljcud+hY9X9\n", "NHvS3B+IzMpDdENmLg6aU1runVd99dSm8Z5RPHQyOqz4AFgsixKXVZhNGY5R3JVOkDK2uEh0cbKs\n", "/Nj3d7Xf1yw/3oqThHvkT/TXzjbcQIPIZ8fYH65+I7hoZmfcosd4HFoUKcLjtK4faGN73219asUz\n", "3/AgVR2k7UnfsYdY+wLqgC3rUMUQM2JilUds984GixJtOOipoxCxweZiGMVDbwJ4fqyEajl3pQfA\n", "0rAwAVmFLCtzGNL01nsuUblI5BPXx0nU9ekkcwTglcjze1Mc5+c9FOfPyX8fICNLqmu80XsNdWuH\n", "JBxRQeEp3Lodiv06rQZFd66rfF2VJ8hTjd+d0Fyg1cy+dGuMRguucsdtEfBVaiJvgcRMk5eD91Dp\n", "+9QQBf59AJfS1A/XRqqUPG05zph1W/EBsHQskEdWIcvK3IX0SIsJeDYUaFsQ7fe8FGj7+Sll5kLm\n", "HjHGo5OqrOTT5k4g0bDXp4QBUWprA5xdUWo9D9iUgLRQrRtzmC+hoZsQ2vb5klztpL6foNOCu5Sz\n", "5h5qJmb6PtQfDhYUXu6Bg9dd7y2efQCv6npqDVU/3K5Fuax952msNm7+/9s7u1g7ruu+/4eSqA/e\n", "S0ptUqB2HAkobLKJqEbskxyYFtDm4ypF0QIVQstAWjeSItuAxac+Fuhb3mQXhWlYhmgDlkwUkIMW\n", "MQmpSFvbbNEa5ZUtOibpPOSKNpKgqUiLvJQVSuLqw95zZs+cPTP7a77/P2BB1LnnnNln9p7Z/1l7\n", "7bWGPh/e52/oBtAcO6qHuJc5WdikEy50mifnuiDaqB2Bxu/LBdUhUYKtTsz9sRgC8l09mZ7tUnzC\n", "eSnWJwdSOmGFoJQEt0SJrJUoqcmKfksKERZcyqZ1B7G7aLslwGdWY66L+4nu79fa+3vdG2EXZrbP\n", "HjXGiq3AeNM42hFmXXe7twTWAXwEUJuobjl81rTcy7WL9cLNQ58T73M4dANotC7Mf9IRCRU6YZOz\n", "SMySRPn3mXFA+dP+BSnE3AWpxNBc0ZNYp+IT3kuxLlm70y7jYLUB4E5x3+afWzWPUvUcdpc01m/M\n", "2RKvQpA4dg7AA0jg/YTVS79HVIb3Ou+mrcB41XaEWdfd7y2BmdFfAOKSh+7q/68ItkmtzgzeABot\n", "tfUtdIrJuZ8gWvvvs8UB1cb/1CStdDF38Ymgpdi2OnNpl3EAfHT9/NjySjX2Xc05vG70Q9px4Tbm\n", "XBOvJomd8ygr4+b9LIT/flGiqO2cmcLfjLmKD85fipn3lohafsGf30TZ0zW1Ujar8zh0A2i01DaA\n", "0BnR8dqSI6Yts9LQxghvWJ2gSbeMg+glSpc8Stdb/t56jmvHRfuYc028Ghc7Z7TnbHh/270RkcK/\n", "pj+nGxDdh+XjqupxugXlSdpF/RKfEbB+EgjzeD1VeX1qxZdX53HoBtB67OyFxGkNIHSSesja+snt\n", "99XFdSUtDFx7juImxacsf0u3jIMkS5QueZR2jfeEioPQpcDcU9Xnxo103s8E15Rp3Ozj3pclYXUO\n", "kCcB2TDO54Z+rRqUbgirjwLhyUOrfze+dzKpMQZvAK2HTk6cHHPsllroOB4zRekQp35K9Ps6E5/x\n", "7dsnhRi8KGqb/soD1+hZaROl+j2RS5Qlz1nDObwlRZ3BoBxNgcHrvhUAUm3cSHe9JRqfv9g0DmjN\n", "1+7R4h4kudiqS6NgeJbeh7EJISZ5aG4UVrRRGdwTvM3OPZ5C6HgeLybJ4ceq/dS2jBH7+7oUn2km\n", "xTulyAFVMusDAdxF6cfDRce2VD1n7ecwT7fgIuRK3906DuvHnEuKh6pHM8XGjXQiPZGwmsxEPCYD\n", "8LV8DLrksDoMVeuvcp/ySnJdlzyUS4G0URn8E7zNKqAzUugExe8gLMnhqwhIYpri93UlPhNNihWr\n", "FZr3w12U3o9VQtWQ31xKqJr3Q8s5zL1HPpnPVyVtWsfh+pi7JcXuP5vYs+0Q3BDg8fz/AzduJBdW\n", "vXudaatzfxbwy2F1u/7vvuJ6exiOSa6bkocyeJ02Kgu5ODCzLciBQif4HMA7ySFe18LKoY3rsTAx\n", "v08Ls292IT4TTIrvewjNn3u819i+HxW3Y3oOHQRutd5gkwBcJR91GofrY+4zxnebbXDeISgAPuAx\n", "5veVP5tOBKFnrzOtGM8hOaw+CrsQQpE+Y5WUdgPtyUN3UEq3MKmcY4M3gJa4Q9WN9mzoxYEZxVwF\n", "Cp3YbeeOSQ5xGsBRP2FTjoXRv++8+v9N1993/3r70ovPyEnRoT2m0Nzn8N4HKv3h2qbcVv33iOW3\n", "tghcc4fePlGeL1Nk3VYdGwLgJpTwdckXVjPmbMd3EqDnXa+DQljeIalFEAbwOi/dEJHD6l+ieekO\n", "6oHrFQByEO6xVy73m7HZ4A2gJezMkpAITvA2qyc9T6GTbCkUDqWIIsXHBayVh2n9ffcX48NcmvKp\n", "M+gmPuMmxX3in7eoLefUscr5cb40tNXH7cBJwD8jwO2VPslc+k2gvJou5zwfc/pzeRu62yFYjOEn\n", "JKUIQrEJoSarve37mPwz8p4VlcMqz0HVFGwOz9gr1/vN2GzwBtASdqYWEHv0oIxI8Da72AQXodPR\n", "ca271BC0XHZFVDkPc9K9U9ZrptUKudOFcDEnK+fkol7iE2FLldpck3Q2pWjIzYw7iiox0xSw7yrg\n", "zwJ4CX7LnQLgh+a5rxtX+m+GYO9uh+D6GHYVcKX+/m7lO22bEN4vxq2T8P+A7bzQWq9Xaw4rFzOz\n", "prft4rNdK3PbVDV4A2iJOlJ7CPYbAzX04qi7IOZgTRNSz+3wDPA2l3PukGLpJRchj4vyGtiXc7Dy\n", "IOUCwzbR2pKLbpjH8hKg8F+KFSUSfeoI5qJnU+pL0ZilZboriqx/s4unMqQ4eD7RtO5+RMlbmHvq\n", "OikCXRnDttJKbf2t4rngnLC18W+Xm84Lze2eFDN3bJfHfOP91eVamaoN3gBaoo7UT6mfBYVVovPZ\n", "qQDzF1b/2HFyeVSAD68m4ur4UPE9bRNtmq34+riOnpwHBPheZRJ2rSOYf9duzd9NYeXrwdmRkLid\n", "uvGDuPqMDv2vnvKLc54v+XaSXd8yhl29n6udj/vgnbA192Ct2njZ9bwMfV8ZsyHBUuDnivPtfK/o\n", "+l47yLkcugG0BJ1oXBAXUGTJ5VJg0LnsJZkqvJYC/5sxQbhMPIfE8Do9XD5WN0thDr/X9nSq2/yt\n", "hmO71BFsE1bVFARBS1ZJ4nYQFFf3B579v9qkcH5d+LjaSpicrBv3WhC9Zx9PTaWVvmm8huexKofj\n", "5cF7BcAHPQXZJON1er7/BQevfwLT3cWX/DwO3QBagk6suHCf1IObwete59B1KSLZk6/7JPtL4j/x\n", "3J+392U9OVZ+l/PQqE60Ud5MLfJ04eP9Lb/H/F11QeouS4Ei5SVA7yWrN1P0uZ+YNi2Pq/MLPoeK\n", "NYrtb/P7zKXl0kaZ+jFsK630bPW7RQX2v+45FoIEGQPbm8eoV7qFHRRi6gFjrAz9O4a2wRtAS9CJ\n", "lvpOoRfHEp804L8UkeTJF07LQv9H2t9jWtPSUR7kPmw2a3dBaVpdkLpL8LrI+hKgc8C+APhYyuvU\n", "7/zHBZ+HCTmztNCzYhv3xUPIA57t2zHa90fivtxr6/Pw8zL0PWfMlvetTzma21f9Qa+gqDM0fCNo\n", "kZ1oWRvf0gPd5+JY6pMGwoKJUy0NtRz7X0m4CKkKxbas3HWWLps1gr02Ns+UOUm/1vL5HSnSHZjn\n", "ui5gfyUmkl0TYcIqLtg+jYhd84RVHghCllbNZV2X5V7reAw+L0Pfc8Zs+kHzx4BzSgRzbCxeVIk6\n", "U8M3gpagI43g9VuAXIGqv+RxcSzyScPNa2Ra2idfNO6cuyVxMVF7ZD0fVLe74hx+b4JyN7uVSbot\n", "Qaj53jzGy3aut0VlLncr+Bzw2z1FZRIhHJFPzBSrpXH/zfIY8l1atXmmfHKS3crbEXNeFhtH6nA/\n", "siQQrk2J8C6Ar6a4F87JBm8ALbIDi2DrG/lg3wcVZ/VtFJ6rlovju1ho7pe4J3olNBC5qwW1O+dS\n", "LN1VA7r72RXX8FsTCKvPmG36ufuEXpd5vjbfVPIHDb/xZu5mDD1X2IegfGI2z9Fq3N9cFzWuS6tN\n", "qTNcl3XTnJeh7z1jM1jqy34TqvTMZvnayO3PurhG5mCDN4AW2HGWJ4u6Apfftlwce4p//yUWmvsF\n", "8TXtdpFwByFqd86lFFYiA++Kiz3npvkWYc7jg1Zln1os+dIGvDxIyYSVZz6xulgnsw/urDnutgD/\n", "3HIubxfgn0mzN8p1I8J2kvMy9P1nbIaG2KpbUMk/d8HwEadzOXQDaAGdZnmyqC7zHdd/A9SS4FWo\n", "VAyfQZGOoU2UdTGxjMmQxHviNpl7tsv0gCWKRzLNe1dc6iWxGC/hTVgSCNaI0rVkg1jbqPCsnqjz\n", "XWvdb9GHswfpzyVVHio45xNr8iiZ494mrGyFnm2VAZqO0ZY6QwT4nPFdXApMNCaDiy9Xr0WaYPAG\n", "0AI6Td8gD0KJpV2oJwrb4M+fLAwP1cpcRFkXE8tYLI2w+qysi5J0E3OcCGlaUummjI3jb+qsuC5a\n", "lmXdRU13W/S1uPtTD2Eb2P/rMXFagL5Q7uM8v1RbbJM57quixrfQc51XrElY3RLgR1LEnaU7L0s3\n", "ROSvQqKQiDnZ4A2geXaYnpTugIqlym8wG1BxVduVwV95stiFzlLctlvQFGWpJ5axGKKXpTakfski\n", "zcQcJ0LadsqJFLviSmJqF93XUAypIxg1Dv3PZXdb9KE8SK86CFtJLULL4367YQzXjfs8xsoUNSGF\n", "nqtxXHWe1nOiNl3kNS67OS9LNURmXEfikIg52OANoHl0lnrSLZVvqIurumpcAMaTxct86spKAAAg\n", "AElEQVQA3b2Vc9qRR0gk1cQcJkKOevye0hJJL0+b8K8jGO05jevrbrwcUB6klwuxsrKbAH6m/m1L\n", "E2FanoTzRwIczD/fKEIjz8XLRb9dkLhca9uW739Q979taXGvcaxHW86L7bqY50Ni5BiMrhHYNB9h\n", "5iEl1nM6dAPmakjsFkVgXFX+N/NJkxnZS+e1Y49Q/MQcIEIEeKalXWZG7M9FtzHwdznG/cTfmBEf\n", "NN9pXI5xv/hFlHbyHRTgfwnwq7Le/7kn557q+XoTLUlN48Y9XsaqlI0p/J7wOK/Vh5PS92vLpGhj\n", "vrQ4fAb9uVkKYfX7WG5IifWcDt2AuRk6qjWHhh0bpplLeFvG63caNyzWECxNZAm3o9sszcTsIULO\n", "Nk+Y+WS8Uf2cAPjdgfqi8yr3SLNRoZedZIXouUPKy1+32fqsaSw0CtKwcd92zLbg9+p1sSkqSH/1\n", "/Wd1v7+73jZbXi+vDPqzuoclHG+xS4HyIMqrJLktIaTEek6HbsBcDI7pD9pudjXfHbxjI4+5utNo\n", "k+esYv6GyW9RbhC+b6p/x2xHr7Ok5WBaRYh9wrQtq/QTrO7x2zoLfk0krH6x64kZluX+eqEQV34J\n", "QZ7Q/Q7HdL0+8t9UTsiKWm9aU/qJpqLP20mvwTkagK8BYasZuVdqq+Z9SwgpWTufQzdgDgbPZbqm\n", "m13N9wfv2HgK5SeLpQorm/BtDhau+/sex0nDtPQ39SYRsj5h/oEAH5GQybhLsdNz/6fKn9VZUC6c\n", "alY+IOui2WZumyfg7gkV4MMex3Tx6JaOYeYZq4n/csnrZSv6XDrWZO9hHV8fZ/P5y7e+7GmsP8hX\n", "be4hJWvnc+gGzMEQsEzXdLOrfHeUm3YTkM8Vx7wZ+j2YsBvdbcIqCYs3YfcI3YiYmHs5f4YQ+sD6\n", "hOk1GZ/FzHb61E/YTZbHAt0mXXn3jD57pbmf4goyt7ShzhP6cvgxXZKB4ibKecYaBPDwtS7naACe\n", "AIpCyj71ZXMvlfkgb/vMHOYRr3M6dAOmbug4sRoSBBYaGddfBpYXvI7A3EWoeGriJuZuzx/qlzj/\n", "q9/E+LoUwciNHozJ7fRBko0K6fKU2fusqW3d13lExUMZN+abds3a24XWJdtha13OyVDx4j8Dv/qy\n", "tg1Sm7DnVBTMY+XD+dwO3YCpGxIkVmv5/lRbYVdV6UPcvZho7hf/ybT+KT9uYu7m/FVvjvVCyGUi\n", "8k3yOL2dPu4ie0eal7XC85TZ+ywPTK/rp269NVVBZbzWQeb/+uuiXVgNW+tyLoaSF1/ZRUB+Wp4z\n", "JJ972lL6iPGe3ZrOoLCiuZ28+N0UrW7RBMcQlGNmnJYtdzCP3RxI7GUKm5j9z59torO8p2WJ84Ko\n", "nWWuE2NIksdpjQ0kq5uXnwe/PGX2Prsg7aKpm8LDaN7F/Ej8MasZ1JuvCzcxN1yty7lYfh/7CArx\n", "JFCiCIDsxXp92U39Wl0cVZOwqiQT5VIgreHkpfEmtap3xHnFLsPwKpg3dhd3LybolTB+a/LcRf4T\n", "s/dGBed0He0iz2cy7i5+J2FfJgmiR7K6eSIBS21GfqoLuo+uO/RTWmEFr80cdQWXXY6ZCyv36wKt\n", "D0PD1rqcusFYubiAsrC6haKW7EWUiy/XLfEJ2pcCjflIMMEwAu9zPHQDpmw9CqukS3i2iWWOGXPR\n", "uqzQZI1P+ckTW9onOqudReOWdNN8JuNxxq74CM2A77YFbAvwuLjVzRPxCYxGbX6q3Fu1t+E46ZYC\n", "4b+ZQ4DvhRxTlCjzzq/lMLaHq3U5RoPHgweMB/WqkBKo0mj53107vSl43ZyPNop+mbXYHbwBUzZ0\n", "tBRou0gQtoT3akv7O0/MOHD/JBNWNX2S5PyVJzqnwPFrAF5S/24SQq6T8fh2W8EqNO/U5jVJm/1W\n", "l54ig8pRJXHemfqHJDjnpzoq9V6yNOIXQZs5Hgg5plmmx+u6cG/jH0tZAM7rHuZwnrwePGCZs6pC\n", "6pz+/5AH+dcsfzN3EC4lYejgDZi6IWHwestFchTAnwLOS3gC4IdNk45x3FnkKqr5XbFLga03rtjz\n", "V0wiuWhw9SK4/C6Xybib+J2IfjOE5h1SxInl3p3HRZVPqQ+iN/rtRmXSFf1aaeJBh5nZ4e0hqovr\n", "ig/cRtRmjm95HzP0ukDYkvsH5nYPazk/r5jj+k6UK2zk4gXlUJC1VRabkNrSr/k8yB81Xm/aQbiE\n", "hKGDN2DqhgTLdHDP2v7X1UnC9r5HAfmwcWENfY4G7p+Y4HWXDNhRSw3FRNdWaDc304uQOfwWl8l4\n", "dMLq1XUxZDv3j4pKWlmMc9u15NJ/6LCWIII8RHUJNuMCt+OuhzYxZj9mxDjorZbkVEzfL74G4H3b\n", "GN8A5HFAnoA9IbVNWAnWhdQV+KVeaJqPbDsI55DGp7Gfhm7AHAxhy3TmRNCatT1fmz4AyLfQvmNj\n", "CU8Fjn0TkCLBLIvRbdqBYqIL9SK4xAK1TcbjWQoE8HG/c/9hs7+OYuXl2OPdf3Giwz5B+I+/tr69\n", "IoV48QvcTiAe9bnuN1gcMw9ZcDwHrg/fK3sU6w/YqAlfsQmp76EQXC3HfA+A7DNea9tBOPeEoYM3\n", "YA6GiJ12rqLsmP6sueTYtmNj7k8FHv0TWGy227QD5YkudEJ/3OG9LruofjWiDenGF4Cf+p/7D+Xt\n", "0B7GPDDcOyFs8jxlcWLtQUs/PStl4e/uyUGa5U6vYya+jmcZsuDwu71Kpv0CirnmEEoP4HnogjV8\n", "5SrsQmrvWr+XhO0j+ftcdxDmNue8VoM3YC6GgJ12cFxGtO3ccLG5PxV49E1Asdnu0w4UE11uIV6E\n", "O8SehLFqVwW432FiHC7xor+wKZ17KYuqsP5DmAi3imokq09oFTCvAPhNeHhyEgmrR3yOSUtyXXiX\n", "THvU+Pf9RT992bzO6uadbayviBj2eyhv4OllZ/zUbPAGzM3g4baGY+B7nrSNgzeqX1zjNbTXo3vP\n", "TVlYxUx2FxzeWxJCL9eMz7OpREVgH/2n8HOfL/39isT0HxLlKdOT18kEQsa0XQAXUA7IN5N5Nnpy\n", "kDCODCPzHo2tPQl/V3DJtG9hLQbK7L9WsXYLkB+hSCJqu9ZRs7TYZnN/6B+8AXO1tgvdZ0BSWCXt\n", "l0bhm2ri8Rgj1+Mn34+IrxCyjc9UoiLienk34txru0di+w8RQdOoTbwZ2rcQAH+Cyg6w0GU4jLje\n", "ZeC46SzP2RgMEbvOnzL+fVtlHkDCRNExbRzjmErSb0M3YKkGDxcqlwI7Of82YdHZlvuGNpwsJoSL\n", "opb1drU1LfGtxMD7KYVQjKhIcT2k8e4ky07eJMLXPERYS6vwrEQKPYFKsfLD4jvjNlIgLo7suyn7\n", "PHK8uGaOn+yOQUR6gzZRZFY3zBzf96Ii2EMSRWOBNWhb+27oBizVfISVIC4b7lyfCrrqk66FFexP\n", "2QLcJ8VEDFE79Z4U++6wlRfhq+sTjH8iTUsbe92JhVWCzvEIK6NtuQj/KJQQtnpHYI3PikrqeRmr\n", "1BPpNlLY22kz09O5SlzbScZseCzlwT9z/CSzfPvOEaaZdfsMoZR7ZG33n5tIkNB1KTVoW8/H0A1Y\n", "qsHzaSQmG+5cnwq67JMulgJRm018j5Rfa6tbV/Ii/Jq+UX6zcmPMb5Yvxwghnwkv8twb8WbDLgVa\n", "2vZxuOU00/1iipWopJ7H/D7rtpECQYWoX5eO4uq8l/LgLAynWyzcvCYSCquvV+8/NR6qV+ApRLGg\n", "GrRO52PoBizZ4Lk2HZINd4o3lDH0SeoYFFifsv+3FGkQXDNy/8CcLF5dF2qtSTBHGeCr23Yz4txr\n", "e1Bi+s88P7rPjGSlLn30C7KeNT0sqWfkWPxqy/m+F6vNCq6CPl3hbQQu5SFu5+ikYq6Qfinwx4Bb\n", "yoYQ4YOF1KB1OhdDN2DJBs+16R8AskcPTj4VdNsnqdMOwPqU7Trhmk/eqyUZ39ibNzHyAF8or1vo\n", "uf/v6r95otOg76jutnuz+P+YrOkuecTWY+EQ5z19F47FeJUYNXNjbQrwlLQsQQeHFyBiKS9SbE4u\n", "JAKJgtcB/BzwS9mAwIdyMKErBm/A0g1ha9P/l08F3fdJqrQDdrHmu0RUevI+C6fYmyuiyr74eQUG\n", "PO9H3IVM6dwL1JKo7jfXBKFr31Fzfm4XtRTm00dVUXJVCiHd3hdIlHOq4VxXlr29N00Eb4hxv77W\n", "Erh2ulQ/RkPLw3c1KecO6tMthKRsiBFCGLGHvPN+G7oBSzcErk3zqaCfPkmx2w7Wp+yooOb/3C7K\n", "TC/JdAJ8UVp6c03milfX+22Px3fsEeCZlvNTVxi5ro+eqvn7tv7bWvb0F5C+KPQLDee51x2wxnFj\n", "lvIeGaLNQxssD9/noDY05bvFAVVSJl/KexSlB/GfAtz41GufDd0AmgARa9NLfirosD/yQqfvlc+/\n", "n7fH6JvKU3Z0bb5b7aIsZJlx+Hg8LY5+WDnHdede9HvNGBxLuoim79gnzd4ol8LItj7alGbPzy1R\n", "IsvuSUGarO1NhaGHElYxS3kvLFRYrR4YNlHKpC51c4WRt+p1MIFn/302dANoRmfQCzX0+bcE1O4V\n", "4DYpv4Z3odIc1O1aqkmnkKdO2JUEE0TDhBu1zDj4OGsWR86iNr+Wdi2fe1v9dyPg/LgUvc77aLfl\n", "fa0FnE+Gi5DVmLUKiQTCzXvCTXTMRS0FVq6JlTfXMQD9GoBDufjyOGEiYHLpqP4augE0S6fQCzXE\n", "OW8JqL0gwGelafnPLsxsXpLfMP4mnmZ+V90kH7XM+MJYxl2KB43KtZRbhNekbonP1kdNwmpH2jY9\n", "QOXNkrBA/L2tk2LcefBfIkIaL9nJPts8JoNjPG4lAP0VCqsB+mroBtBoYzAEBtQan/fc6ZTHAIU8\n", "eeeTpm2Sj15mzG00uwZTPmjEe03alvjy9200vG/HOoZq2vqe27g0v/No/t1tedU62QHbcLwUwipC\n", "bE43nx8iagZC73blUmCP/TV0A2i0oc1/gllfOgsUZhL25P24/u8+WZ+8UywzxmVtH7OlmdybPFF5\n", "H90hiUoMfa3oB9dkns/k39/qoXEft25isOVYSZYf+2zzWAxx9fguRHx20l6+wfpr6AbQIjqPS4ap\n", "zmPUkkiYMMtTAoQ8eb8m9ZN8CmG1K2PdNZigrzsUViXviGHhKS6KsXW7w3duiUog6+6hQc+Ft2Ov\n", "tSHaPLSZgjTQ67QLpK3awbmnpc+GbgAtoNNmXtG953OZ4ik6ZrIQvyfvfGdaPqleqLw3dimwutQ1\n", "rl2Dw/d33VJg2TuChBtRsPLQPCDAJ6Q+mWeYhwY9Ft72fwixL+X12eahDQlK20DHWsVW7eDc49hn\n", "QzeApjvC4QkAluBoJgeNPu8p4j5it8WL+zLP1cpnD1omqJjgdVvc1rh2DSbo8wgh/GBLH5W9Iy7X\n", "tUN7Kx6az0mxu/RWaxs8jtPLrmQkXMrrq80Dj9cUwuqDiKjlx7nHs8+GbsDSzfUJwLy5dlXraYmW\n", "SFgl+LzLMk+eoHLl7XrTLspiCv++VvOeeeysMq65wPPT6B15tatrDv16lTpd5lkXikli0Wa7NIX4\n", "pcA8Ni0oXyLnnoA+G7oBSzXfJwCEbbWd/NJND/2QYilQ4oXVhjQv8+SfKU3yH2ufbEOWGVt/7+Qn\n", "LoR5TcSS00wAXAbwsZ7aPQsPTZ9CcQ6GuOD1L1e+y2sMce4J6K+hG7BEC3gC+DGg3LQXoGpCNV1Q\n", "qWo9LcUQH7weK8xeKSb5Hamv2WZfGmm4UdZ4tPLj25YZm9o83ezVTdego9fkTcv5LZWh6bn9s/DQ\n", "zEUo9nCevNIt7CBNALrvcTn36PM2dAOWaD5PAA8Ug3RlG1B1orYbPsvtsl79ERVQm0CYJVkaqd4o\n", "4ewVMJcZm2w+wkqfLy+vyVzEzBiN59bpHDnNGztI5zlCQk/ZkmzwBizNXJ8ArgCyVRFUtqXCLUCu\n", "Wj7PBG/e/RIcUBsrzPR3dLY0ArtXQFQ+LJcSLSJzWwp0OD/0mtBGZeYDWEgAesDxksR2DX3eBumr\n", "oRuwNHN5ArgCyGE9OF2WCg/XiCuWJPDqlyivUYwwq7Sjs0ne8AqcVN+7vLIgjueHXhPaqAy19Ue7\n", "252HNLsRFzn3ZPoEkh7IsiyDmiQ3LgI4WPO+xwCcgaqe+QqAX65532UAvwXgIoAtqCvJ5G4A76h/\n", "bojIjYimL4Isy+4F8BLU6dTcpf/7jvnWMwCeEJGfGZ+9D8C3ARwG9gP4FIBPo+jlSwBOQGmaawBw\n", "HsBR8zsqbckA3KP/921JeKFmWXYEwDngAJQ+rBthOW8AeAi63Q+LyPdTtYUQUo++r7wI4550F4Bb\n", "AG6uv/06gFMATojIawmOvQ/A7l0Afu752aXPPRRWPeIyULcB/EO4T3mXARyGmvK2odwdgJrGD6l/\n", "XgdwIOXEPHeyLHsYShUdA7CpX269acUIs77Jsuw0gK12+f4GgN+Gku84IyKP9dNCQpaJ8VB1L9S9\n", "4vABqEe1Z9DwqNbysBbYjlZHQBXOPcCeoRtAypzQ//0U2kUV9Hs+Vfls5d+nljiwYxCR10TkaSh9\n", "u6HtgIg83fQkKCI/08LDcNu/Ay2q8txkR0TksSFFleaTAM4rwXQYwHGoW2LOJf3aQ9Ci6jyAJ3pu\n", "IyGLIcuyI1mWPQ8lZnYB/BRaVL0E4DmUxc1BAJ+HujC1kDms35oEPW+cAoAveXyOcw89Vr3S9gQg\n", "UItIu1BTme8TwiaAt6C8WKuFGy7dDEaXy3kpmJKHjZC5UrfcB5Svwi2oi/Vey3eYKxdQD2/RS4G6\n", "bUcAnAsKGljw3EOPVY+0PQG8DSWq7oK7qIJ+711QLpGLUAs3emCfWerAHgOiuKFtVKIKmJyHjZDZ\n", "YcRmbh2A8hFfhAoV+bn+93Eo1/kZAEcB2C5Ec+UCKowhCSKyDeDMW1DxvJcb3psHDXDuoceqd5qe\n", "AG5ArTnFBAtuQs2ISLzeTubP2D1shMyNPNYxdqMS0F1sk7kxx2lbDuceCqshqLuYYpcCDbh0Qwgh\n", "I8Z3ma1uo5JJV7vxbGED1qABzj0AuBQ4FJ8EcL4aNpxBbUMDgoMFL4JLN4QQMgU+DcRvVOoDW9jA\n", "KmiAYQNr0GM1EHVPAHl+EgYLEkLIPIlNZZBvVMosf0MPaQ4YNtAMPVYDUfcEoJO+vcdgQUIImS33\n", "ANiI2aj0duVvfaY5GPvGnKGhx2okVJ4A9oLBgoQQMktSZDXfhao5A3DlYmxQWI0UBgsSQsg8SbkU\n", "WKqNwOoIo4BLgSOFwYKEEDJPYrOaHwPwY1RqI7A6wmigx2oiMFiQEELmQ0xW871YK8LMlYsRQY/V\n", "RGCwICGEzIeIrOa5qOLKxUihx4oQQggZgICs5jmvAvhdiqlxQmFFCCGEDITrRqWjAH4FwDegAtfB\n", "3eCjhcJqZjAWixBCpkeWZWcB/HoGVd4MULVjPwHlxcpL2Jh1A8FdgKOEMVYzIcuyI1mWPQ/lMd7V\n", "di3LsuezLLOVlSKEEDICdCD7r9+B4qk4p/pk/MtQNWb3q//d4v19fNBjNXH0Gv2LYL4rQgiZHPoe\n", "/gMAH8pfs93Dt6DWC+/V/38cwBfUP58Xkae7bidxhx6rCWMEPm4dgLrQLkJl8v25/vdxqLqDUNfl\n", "d/R6PiGEkIEx7uEfaruHn4GKs8qfjD9dfM0xHQJCRgI9VhMmy7LTALYOQbmG6/Kg9LUmz/guQghx\n", "J+QevgXgtH49L28DYENEbnTZVuIOPVYTRa/Jbx1A8wUJdL8mz/guQgjxI/QefgbAa903j0RAYTVd\n", "Pg2ovCdtGXuh3/OpymdjybLsPv3EdQ7Ak9DV2nV8wIZ+bTvLstNcgiSEkBLB9/ATUDmujBJnb7sc\n", "MFPs08blw46gsJog+oI4BgDPeHwu5Zo847sIISSM2Hv4KQBfLF4+1RZ2wVWFfmGM1QTJsmwfgN27\n", "oESMD6nW5McW30UIIVMhxT18E8pVBeBhEfl+zXG4a3wA6LEi3owpvosQQpaIFlVnWkQVVxUGgMJq\n", "mrwNYPcdqHV2V0LW5GsYPL6LEEImTOw9HFAlbZ5oePuLAA4fAvA6gOdQ1CCE/vdz+m+H1EuHoVJl\n", "kUgorCaIXk8/BQBf8vjcieKfrWvydYwhvosQQqZMgnv4T9BQJ5CrCsNCYTVdTgCq6vllhze/od+r\n", "+WLtG9u5B3r338G2dxocxGptfxPrVRta4W4WQsjMiLmH/9OWeCiuKgwIhdVEEZFtAGfeggoOb7ow\n", "3wDw21DbQdCwJj9GuJuFEDJHurqHc1VheLgrcMIYwYmH90M9cXwahSfpEtQj0UmsLsjzaHAfOx4z\n", "01+3cRHuXqtLWK3jXwdwwGF7MHezEEJmTRf38DHsGl869FhNGBG5ClU+6sw1qIKch6Aujrv1v7+A\n", "4ikHkaJKH7Pz+C7uZiGELIEh7uGke+ixmgl6WezTUC7gTf3ydSgRdEJEklVB0IGR5w5A7ShpW8N/\n", "A8BDWN0canOuGN/PHFmEkEWR6h7e16oCqYfCamb0VQjZVfzksQGu4sdXtF2G2iOsRduRlAKSEEL6\n", "JsU9XMelPnkcKqWCC8ehvGMAnheRp32PSQq4FDgzRHFDW5eq+ZMAzl+EEjbHUc7Hckm/9hBWoqot\n", "50oOd7MQQkZPVzuVE93Dh9o1TkCPFYlAxzW9hEQB5nRhE0Ka6Msj39KGIyiW7Db0y7vQJfzG4jXv\n", "alWBtENhRaJJGBvA3SyEkDXGIGamtlN5iF3jREFhRZIR+zRJYUUIMRmLmDFFygEokfIMyiLlS1Ai\n", "5S310ihESupVBeIGhRXpHFfBZVsKFBRFDe8BYAtk4FIgIfNjTGJm6juV+9w1TiisSIeEuO/z3SxP\n", "QAmpU/oD0F9wDMBnAJgp17mbhZD5MRYxM6edymOIUVsC3BVIkpNl2X36pngOwJPQtQW1C3pDv7ad\n", "ZdlpS2LP7wHKd/0VKFGVf3ZXv3YEwGMAfoa13Sx/0s0vIoT0yciKCM9mp3KPu8YXDYUVSUpM1nT9\n", "2T+E/nvTZ88AeATAb2D1ZAgA/6jL30YI6Y1RiBnW3SMhcCmQJCXGfR/4WXwEwI/VPxljRcjEGSrt\n", "im2ZjBtqSAj0WJFkRLrvPxH4WTyP1TLjJoob46joKpkgITPkHujwAVdRBf3ekPtAlmVHdGznNaiI\n", "g10A1/RrD3k0gRAAFFYkLTHu+38b+tmvezSwb5pu2h3EghBCHHGMBf2fAN5/B+XKEm1cwspbdR3F\n", "xmayECisSBISxCIcCv3sSxjfTSwygJ+QJfM2gN0uxYxnLOhtAPB5j7acKP55iqEJy4PCiqQi1n2P\n", "OwM/awQvjOImFhPAT8jS0dfwKUDlqXLFU8y8CODwIagUCs+hfO85qF97Hau4LXwFrLtH3GDwOklC\n", "iiDPO7GWDdj5s5qHReT7nl+RnLHk3yFkqvjmjnoDKhhK7xBuvA/E5KV6AOqJyafuHnNHLQ96rEgq\n", "Yt33+JuIz0LdxMYgqsaUf4eQSSIi2wDOvAX18NHkKcrFjBZVLveB4FjQHSiRdRzle9Ul/dpDWImq\n", "8wD+kPGVy4TCiiQhgfv+YsRnrwB4wuOjXTKK/DuEzIBPAjh/EV5ipvE+kCAW9L1rUJUeDkF5zO/W\n", "//4CVuLuvwD4KyjnFuMrFwiXAkkyIt33nwDwjcDPHhWR74a1Oh1D5d8hZG7UlMMCEFdEOFFeqo9C\n", "PQ/Z6u59HcB/wAjqG5LhoLAiSXGNL6qJRQj+bJrWx8FkgoTEoTd+vAi1qQOAElK3ANxcf7t3EeGU\n", "12hNQlHGVxIuBZLkxLjvk7v+CSHToGk37d/ofz+LIjEwVMjTv/EscpwslUO17h7jK0kOhRVJiohc\n", "BXAUwBmHWIQzMNzgMZ8dCZ3n3yGkT3quGNCaAuHzUE9Teun8MFQaO2c6TuXA+EoCgMKKdICI/Ey7\n", "to9AVZy5/g5K4uF5AEdE5LGqMHL9LIDfAfDumErE9JR/h5DO6btiQM/enhOAinNKlZeKxZqJCWOs\n", "SOfE5HGpfhbAw1gPat2FEjRf9FwWSI5LAL+gcEv9NYB/ALf8O4R0TV2MExAWLO5x3OcBPHkcylPl\n", "wrMA/r3650kAv+95X0kaz5koduuDIvIXnh8nI4QeK9I51ViEkM8C2AvgW3AsETNU0eOm/DvbAJ6C\n", "etLe0Pb3sBJV/4OiigzJUBUDfL09+XX0leKlT8HfmzbGeM6T7W8hU4AeKzJKKp6qvVA3fNctzFf0\n", "ZwbxaBkT1OH9UHkkLgD4jvGePrwAhPgw1I42V2/PVSg1dMZ4LTL1wr1QMVpt3rlXoW47f1n3YJgg\n", "1UrOkaG97iQBIkKjjcZgxFZBrZoJgPcAyCFA3gBELHYFkEeL9wsAuUsbynYawL09/I579bFWxz4A\n", "yHFALhrtvqhfO1C87/U+2kejmaavOznQcI2Z9gYg+4sx+3Dksffl12vd8a4Acrij6wgqvODLUMIo\n", "//wu1PPQDeO1PMbT+nv13+S4w/nL7Vn93Q8Wx/jy0GOBFm+DN4BGExEAuK8qRO4CZK9xM20SVV3d\n", "dBP8rrNtojCfqA4Z4s/hezM9Ie2D9jzTaKEWIwpixYAey9dRuW5N29LHSn0dWdrxQSiHnfcDmq84\n", "3UEhTv+o+N5rvJ6nb4M3gEbToup1mzB6Ut9wmm74fdx0A39Xci9AjUev8UmaRmsyF2Fjs4sJxUCT\n", "sDuH9ocr3+uopg219yHXB7RclLXdi3aMe9GWfs0Qb/uGHhO0OBu8ATRa7qmq3oxuAbKhbzZ1N/y+\n", "brqBvyuZF6DOozfUUidtPgaHpbg6SyUGmh5CXB6uXK+jljZY70O2e0jdA5r2eAn0feZZizh71rgH\n", "HQbkKoXV7GzwBtCWbU031F1DQNTd5Pq46SJg2S2lFyDFkzSNVmdjEFa6HWvCxuXhyvU6ajl2Eu+y\n", "ed23PQRtGaIqpfePNrwx3QIZGq9sxSYCnY0T3STli0ySeA90SgjXHULQ79U7k1aPYKYAABFiSURB\n", "VDZR7IpszUj9nP5baEZqsmjGUjFgLQXC96Euusjr6AWH6zVJ1nRR6uoUoHIzPKUbkCc53tSvbUO7\n", "lvXnmCR4XjDdAhmMti3KApXzaRdqa3f17zeg8imkLnqcIkliqmKvUD+7MeGoyWWoSUnnxuLWbeJE\n", "SILO41AlpgA8LyJPJ2rHWgoEIPoaz7FerwlSJVwHcCAXRNUkwR9CoTrvgXJpmbwBlS+LSYLnAz1W\n", "ZEgavTqrrIHwKxFTh0CJsXz/tI2ESRJTeQFYf4z0QfIyLyGIpaQVoK6JkOtoH1SG9pbrNaV3GVJJ\n", "EvwTGHEEle/IM7vn9U8pqmbC0GuRtOUaHGI7moLTXeMvzkHFYuXvNewmKgHsSBDAanxXVPA6RrBb\n", "i7Yccx37Ow5jP2GbMigNF3QdPeVwvbrch+qsLsYMRlykSxA7GBc5Kxu8AbTlmqtwaEqn0BS8fsX4\n", "bG5NO+mQOD2C7/ftlL/v17q44dNodTZWMRBzHb3mcL129QADS5Jg7uRdhnEpkAyGqLvPKaB5qe9F\n", "qLghW12vfK3rJMpLGFcBfBwqqMJ1SQ9q1SDZsps01A2sUl0SAPBnMJYXyDgZqiZlF4jIVQBHAZy5\n", "BhU/dQgqVulu/e8voDRGj0oP5ZdCr6MtqKeTHJeAc5+Qg7aAc7Esa+ZB7Chyzx0Rkcf6OI+kR4ZW\n", "drRlGxyfRq86eJ9Mj1Zg0tD3kP6p1dcL8CYs27W/mbBNtGTjdraJWmEv83JNv9b77/O9jsz8UC7X\n", "hut9yOYVA/Brjr+B1RIWYtwVSAbHtfjrGwAeBbCj/vc9ALfrP10H8C6Av7UfwO8A+AaUN8p3J91e\n", "AH/j2f6mHYaAV7FXNP19S3+JLVLepG63VqWw9dsy44u/q9+aYsfolBjTmHG9jtquk7rr1ec+9NtI\n", "V4SazJChlR2NhsDYDpQ326zFM4QEu97m8ZncXOOZUO8FeBNwS/5Z9yTe9CSNmXtXKue4s98KJmpN\n", "3VdBHhx9Hb1gXuubUIHq2xHXa+h9aOjzSBufDd4AGk1EYBNGIYGe+qZ7Ewhe0pMLYZ9zXnarTCje\n", "uxC3at6zg/LOJyyoDE4fvzWkr9BDTcqpWQrxCyPgfBtqh3CK6zXVfYi2bBu8ATSaaYiM7UCCnXSf\n", "9fhMSE0yo63BuxDNmKuaJ+n7sRDvCnrwJMX0latYmLulFr9IWIvT8t2jijGjTcsGbwCNZjOELxNE\n", "C6v9jpPnDvwDWCttjZkY2lJHLMa70sdv7XISX4J1IX59xW7I9Rp6H6It2wZvAI2W0hCfk+Zdl0l6\n", "J1KQJGinaaUn6dTelTFPLn14khL01eJ3Z3Ylfl2/t+16HfMYp03PmMeKzAoREcTlpHkRlUKwZimN\n", "S/q1h7DaFXQeqt6qL7FlNADg70DVEzwgIk9LURcwSRmcyCLUfZGs5E9DTqqkJU+Whq6dt3UAzbvt\n", "oP/2ClSNUABbDuNsrXCzz/U6kTFOpsbQyo5GS22Iz3jeeQArOsqqjjTelUkEvSf6rRlagqlT9hUW\n", "6BlBx8uoIdfrVMY4bZo2eANotC4MCZYI0GEAaypRYPneFCLgfC5Mxxz0nui3vuI4ucb21ZJSXpTE\n", "YxfjvOa4jder0SamzaB1aoM3gEbrwpAwJ01XXoYunuQTiY1JBL3H/NY7jd/qOLm+GdFXl5fgGWkQ\n", "j7I3bjx61busXK+2Nr03lTFOm6YN3gAarSvDyHPSoINdTQk8BJNJKZDit3pOrqF9NTvPSEW8OC2r\n", "baE5uW0qYaXbZ23T3omNcdo0jcHrZLbIyIugSkSRZhH5fs13CuKC95MVoe6a0N/67/R/A4KpEdBX\n", "OASlmJ5DOfj9oH7tdf0eqPjrl5x+xEDUBHv/PwBbG2gudn4GqsKzy4V2CaXr9G3PNt4H4NvQAfNm\n", "m35Pv2cqY5xMlKGVHY3Wl2GEgcPooIwGAjxhm8aT/ZRSCoT81jt0mwOX9d706CvnnGhj94wg0ivl\n", "Ujmg5nyHJN61xlfeAmRjgmOcNj0bvAE02tINHSxZ1k0uNqFxqHJc1wknN98lm9QC1+e3HkQSAenS\n", "V5cjxNuoEorCM9i7rp6lKR6bavrtIDzxbpPQ3u1xjNOWbYM3gEajKUOCXYiGaPmgpyfsfNeTDjra\n", "GQd/r1/072zrK8wooaircHXxSuXi8akGURWZeLd2QwiFFa0vy0QEhJBh0Iko8+SRb4uI2F5z+J4j\n", "UDEgx6CShgIq/uUqgA/l78uTi75T/vgZqKSJPwGwcRHuiTAvYRUfdB0qUelaW3XMy4sAtlzaIQHx\n", "blmW3QsVn9R2jFcB/OZdUDE3PtxdfNeGiNzQx7X13z4Au6mO4UPI2Gn5viMAzh2AUq5tcUmXoQLF\n", "rgHYhlKYJvl42QvgB1iNHVyCivM7iVVs2nkAR33Ggv7t11AzhgUqVm4XKuYq5RgnxITB64QMQFPG\n", "Z6jljxvaGm/iWZbdl2XZaQDnADwJnSFci4oNFKLqJ2gP3o8Jej/VIKqsgcTV4GYoUfQdLZK8EMeN\n", "ClBx5bvvoJyhu426YGpROPVVl3SYQTw4s/0Jy9/zbPQ3Afx9KCF5N5Rw+QKKzRnwFFWaxgz5GdRT\n", "B5B2jBOyxtAuMxptSYaEGZ8RlujwA6iJbUI36R8GKQaNhjgudJ8JvM+kmJ1lEI/9HZtQAeMNy2pJ\n", "E+/CIa/ZOUSlzfAutE5bpg3eABptKRYohGonwy5Ei+t37jh8p69Qc90Z1ySaHPshuYC0HKNT8dbF\n", "eLJ8f3Sy2d3K65ZyQik3MTgJwS3dhq4LrdOWa4M3gEZbiqUUQh2KlpQZ65OKCyQMfk8pIFP0T6B4\n", "69Qb2IWw6nrno8uYuwK1czHFGKfRbDZ4A2i0JVhqIdSlRwQJ0j+4eg+qZlsOQwfLXSkFZMMxOhNv\n", "XQnrlH1YXQoMEY9dXWdXUXiuUo0pGi23wRtAoy3BUgqhlKKlpc3B6R9SeDvQccHcFAKy5fs7E29d\n", "CutUxzFTKoSIx4hrzVnQPlC06V3fMU6j1dngDaDR5m6phVAq0eLZfq9YmITCqvPg9xgB6fDdXSR/\n", "LY2nW1BLbruwB4u3jaeWYwUvab6GYZbVQgWt7xin0eqMeawI6ZjUeY2GzJPkgpFL6a8QlxfrUQTm\n", "UIJKI/FaYLuBBDmgKt/9MIo8Y5v65etQKS5O+LQ17/+9ULXvTkHlVgBUfo1jAD6D9RxSQFj/63Qe\n", "W4fQXFsxr5F4ESqPz16ky1Pmi0des97aRJYD81gRMj3eRsJcTKmw5FLaAIB/AcBVNZg5gxCRQwkB\n", "BXNF0UlOKhF5TUSehkrZtaHtgIg87SsAobwruAngK1AnOs9dtqtfOwLgMbgVPHbgkwDOX4QSrsdR\n", "HneX9GsPQYkqALiFYYudy8gLsJN5Q48VIR3TlhG6DsN7cwvA3zYnAC1gnjwO4DnH7zsOlYQRwPN6\n", "kk+Ca2b1LSgXQl32zzegJmftcXoYwHfRQSb4rujS42UcI0+4evgAlJB8BsX5uQSV/PIkgLeghNB3\n", "oM55zLnRHqD/COA38tdsffwAVJXq6+p/fwjgY2MQLn30DSE59FgR0jH6Jh6T1XwPlCZZ+/NJqCWw\n", "xuMDuADgheKlL3o0oxGfzOpnAByF3YuSLyMZmbf/DA1ZtOvIM3tDLbfd0/TeVHSY9dzGiwAOH4Ja\n", "Hn0O5fNzUL/2OpSIOg9VqwiIyyCuxdF7QOFyyz1AmwCegiph8+dQakoLuAexPm4HoUtvJCFrDB3k\n", "RaMtwRARBLyvCLJ9uPKdjYHd5wB5svx5gZoco4oe+7TBFlx+1D2QeNQFc9Fh1vMUY8hMsfDHiEt1\n", "UD12W8B8SHoHGm0uNngDaLSlmKsI2TFEyBYa0y5Ydz9dQT85emIm+r0t7UGPZWECf3unWc9rjhmc\n", "+sBoR1Cqg5hjV8ctjTZ3G7wBNNpSTE/G71eFUJ335jBUIsMmsQDLdv7MmExj6we2/J6Yydb8Tda0\n", "BmOezEM8daGiRh8vVmgGi7uxi1wabWzG4HVCeiLfJr8HKho9xyXQu22bvLGd/1MAbm/bGv8tqK1e\n", "b5Vf3oWKBfuitOxUSxCQfx3A30VDIHGWZUfgkW6hGvwuIt93bJYXvu2KTQOhj5kixcYHReQvBjp2\n", "Z+k9CBkbDF4npGf2QgX6PgUV+GsLAj6N+t1zNvRk/SUAtx9Avai6CrUN/5+gEFX5Vn2omOQnAWxn\n", "WXZa7wSr4x7EB5ejTlTpv20DOPMWgN9Cc5B+Nfi9K1Gl6TUNRELean8LISQWCitC+mOVf+oeqPWv\n", "t1BsI3tLv1bdRuaRf6pxwr8K4ONQW+7advBBOc2+0yKu+sA3h5K5ES452lN3DFBpDlwx1NQx/R2+\n", "DJm7bJR50wgZKxRWhPSE9s6U0i6UasXUfM5lm7zLhP9JKNXhulUfSsvUbZfvZbIVkatQWRrOXIPK\n", "w3UIaonpbv3vL6CUpuGodJs3KYWnzjsNhG3suBCTYmEMxyZkilBYEdIvzvmnALXEdbL436b8U40T\n", "/jYKT1VT7BX0314BsF/975YtF1Ofk60wi3ZOV2Nn7McmZFJQWBHSI0PFDeWCJnFcUK+TraQtCxPK\n", "YMtiQ8acjTjejZDRQWFFSP90ETdUO+GvXEtIGxc01GQrikGyaI9gWWzImLNRxbsRMlaYboGQAdBB\n", "4S+hpb4e1AreEy5LXHX1A29AuXa62C6vS9p8B8CDmwD+NZQgM2vXnYDyVGlRdR6ecVBjq/M2dBqI\n", "LsbOFI5NyFSgsCJkQIz8U8egUxBALRedAnDCZ4mrbsLvQljpY+Xt3qh+LsVkW3MM51xbXZJl2WkA\n", "W235wnJPnfbgnNGxYqnakGzsTOnYhIwdCitCRkAqr4xtwheoQPRdqAk+MJnnARER7aF6Ee0eixzv\n", "ydbjGEm8IiHn3ig+fXg/VDxaak+dK0N69MbmTSRkDDDGipARkDBuaC0O5sfQeRgQFxdkiIkthzxY\n", "APBDAL/sE1zueYyoXFtZlh3Ry6fXUKQTu5Zl2fO2nZAmY0oDMXTM2VDHJmSs0GNFyMywxcHsBXAT\n", "SpCExgW5Ln9dhgpmD1n+6ukYST1iXBYjhJhQWBEyU2omfITEBfVRH6+nY6yW8A5ALeE9g/IS3peg\n", "lvB0/RfnJTwuixFCAC4FEjJbLHmffgnh2+X7qI/XxzFeBHA4Ufb5ElwWI4QA9FgRsihCtstrT8w1\n", "ABuxwe8N7erjGJ17xAghhB4rQhZEYHmYPurj9XGMPjxihJCFQ48VIQvGJS4oy7J9AHa7SDDa1zH6\n", "8IgRQghAjxUhi8YxLqiP+nhdH6MPjxghhFBYEUKa6aM+3ghq8BFCSBK4FEgIaaWP+nhdHoNLgYSQ\n", "vqDHihDSiohsAzjzFlRizssN783zYOVZx12LDnd5DHrECCF9QY8VIcSJPurjdXmMPrxuhBBCYUUI\n", "cSYkD9aYjuFaMseWfd71GISQZUNhRQjxpo/6eF0cow+vGyFk2VBYEUKC6aM+Xupj9OF1I4QsFwor\n", "Qsgi6cPrRghZHhRWhJBF04fXjRCyHCisCCGEEEISwTxWhBBCCCGJoLAihBBCCEkEhRUhhBBCSCIo\n", "rAghhBBCEkFhRQghhBCSCAorQgghhJBEUFgRQgghhCSCwooQQgghJBEUVoQQQgghiaCwIoQQQghJ\n", "BIUVIYQQQkgiKKwIIYQQQhJBYUUIIYQQkggKK0IIIYSQRFBYEUIIIYQkgsKKEEIIISQRFFaEEEII\n", "IYmgsCKEEEIISQSFFSGEEEJIIiisCCGEEEISQWFFCCGEEJIICitCCCGEkERQWBFCCCGEJILCihBC\n", "CCEkERRWhBBCCCGJoLAihBBCCEkEhRUhhBBCSCIorAghhBBCEkFhRQghhBCSCAorQgghhJBEUFgR\n", "QgghhCSCwooQQgghJBEUVoQQQgghiaCwIoQQQghJBIUVIYQQQkgiKKwIIYQQQhJBYUUIIYQQkoj/\n", "D+oV9rEsO5zLAAAAAElFTkSuQmCC\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "\n", "plotp(x, 'b')\n", "plotp(y, 'r')\n", "\n", "plt.axis(\"off\")\n", "plt.xlim(np.min(y[0,:])-.1,np.max(y[0,:])+.1)\n", "plt.ylim(np.min(y[1,:])-.1,np.max(y[1,:])+.1)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cost matrix $C_{i,j} = \\norm{x_i-y_j}^2$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x2 = np.sum(x**2,0)\n", "y2 = np.sum(y**2,0)\n", "C = np.tile(y2,(N[0],1)) + np.tile(x2[:,np.newaxis],(1,N[1])) - 2*np.dot(np.transpose(x),y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Target histograms, here uniform histograms." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "p = np.ones(N[0])/N[0]\n", "q = np.ones(N[1])/N[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gamma = .01;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gibbs Kernel." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "xi = np.exp(-C/gamma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initialization of $b_0=\\ones_{N_2}$ ($a_0$ does not need to be\n", "initialized)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "b = np.ones(N[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One sinkhorn iterations." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "a = p/(np.dot(xi,b))\n", "b = q /(np.dot(np.transpose(xi),a))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 1__\n", "\n", "Implement Sinkhorn algorithm.\n", "Display the evolution of the constraints satisfaction errors\n", "$ \\norm{ \\pi \\ones - p }, \\norm{ \\pi^T \\ones - q } $\n", "(you need to think about how to compute these residuals from $(a,b)$ alone).\n", "isplay the violation of constraint error in log-plot." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAlYAAAGyCAYAAAAmmIoWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmUZGd55/nvoyqVdpUEWkorJUD7UlUCCdG2IQUGyz3T\n", "YE6PF3xMA16gjYEeDzZC4rRVDO5jjIHunrGHnrbBR+A2NF5YNNgGgUkMNpugNkkllSRUIAlJJQkt\n", "VVqrVM/8cW8oIzJuZmVl3Lg3MuL7OSdORka8GffhciV+vO8T743MRJIkSYM7oO0CJEmSxoXBSpIk\n", "qSYGK0mSpJoYrCRJkmpisJIkSaqJwUqSJKkmBitJkqSaGKwktSIiLq963sTxmjqmpMljsJLUloPn\n", "eN7E8Zo6pqQJY7CSJEmqicFKkiSpJsvbLkCSOiJiJfAh4AxgN3AUcBfw9cz8wwX8/RrgBcCZwL8A\n", "xwFPZubHhla0JHUxWEkaJRcBbwZeD1wN/FZm/tfOmxHxTuCQOf72auB44GbgZzLz8og4DNgAGKwk\n", "NcJgJWlkZOaXACLiuZm5JyJOnvX++/fxEdsj4j3ANeXv64D7669UkqrZYyVppETEyymW/wDWLuIj\n", "fhr4avn89cAH6qhLkhbCGStJo+b1wBXl88MjIjIzF/KHZY/Ws4CXRcQK4FuZ+bdDqlOS+hisJI2U\n", "zPx3Xc9fvJ9//jLgc5l5db1VSdLCDLwUGBEfjYh7I2JLHQVJ0mJExFnA/wEcFxFHtl2PpMlUR4/V\n", "nwOX1fA5krRomXlTZv5UZr4xMx9pux5Jk2ngYJWZXwMerKEWSZNleo7nTRyvqWNKmjCxwJ7Q+T8k\n", "YjVwTWaeP/CHSZIkLVFDb16PiMGTmyRJUkMyMxb7t418K3CQArX/ImJ9Zq5vu45J4jlvnue8eZ7z\n", "5nnOmzfohJAbhEqSJNWkju0WPkFxs9MzIuKOiHjj4GVJkiQtPQMvBWbma+soRLWabruACTTddgET\n", "aLrtAibQdNsFTKDptgvQ/qnlW4HzHqC4G4U9VpIkaeQNmlvssZIkSaqJwUqSJKkmBitJkqSaGKwk\n", "SZJqYrCSJEmqicFKkiSpJgYrSZKkmjQSrCI4vInjSJIktampGaszGjqOJElSa+q4V+BlEXFTRNwS\n", "EZfPMezkQY8jSZI06gYKVhGxDPhj4DLgHOC1EXF2xdCTBjmOJEnSUjDojNXFwK2ZuT0zdwOfBF5d\n", "Mc5gJUmSxt6gweok4I6u3++kOkS5FChJksbeoMEqFzjOGStJkjT2lg/493cBp3T9fgrFrNUsv7s2\n", "4gPry1+mM3N6wONKkiQNLCKmgKnaPi9zoZNOlcUsB24GXg78CPg28NrM3No1JiF3ZnLkoMVKkiQN\n", "U0RkZsZi/36gGavM3BMRbwW+ACwDPtIdqrocEcERmewc5HiSJEmjbKAZqwUdoJixAjg7k5uGejBJ\n", "kqQBDDpj1eS9Av1moCRJGmtNBiu/GShJksaawUqSJKkmBitJkqSa2GMlSZJUE2esJEmSamKwkiRJ\n", "qklTwWovcHwEBzZ0PEmSpMY1FazuAgJ4TkPHkyRJalxTwWpb+fOMho4nSZLUuKaD1ZkNHU+SJKlx\n", "AwWriPj5iLghIp6OiAvnGXpz+dNgJUmSxtagM1ZbgNcA/7SPcQYrSZI09pYP8seZeRNAxD5vAt0J\n", "VvZYSZKksdVUj9UPgSeBEyM4oqFjSpIkNWqfwSoiro2ILRWPf7PQg2TyNHBr+auzVpIkaSztcykw\n", "M18x6EEiYj286QA4AVj2c/AfvzvoZ0qSJA0qIqaAqbo+b6Aeq1nmbLTKzPURrADOptiFXZIkqXWZ\n", "OQ1Md36PiKsG+bxBt1t4TUTcAVwCfD4i/n6e4TawS5KksRaZOdwDRGRmRgSXAN8ANmQy355XkiRJ\n", "rejklsX+fVPfCoSuvawiWNbgcSVJkhrRWLDK5EHgTuBQ4HlNHVeSJKkpTc5YAWwsf65t+LiSJElD\n", "Z7CSJEmqSdPBalP5c03Dx5UkSRo6Z6wkSZJq0th2C8VzDgAeBg4HjsvkvqEeXJIkaT8spe0WyGQv\n", "sLn81eVASZI0VppeCgSXAyVJ0phqI1h1GtgNVpIkaay0Eaw2lD8vbuHYkiRJQzPoTZj/KCK2RsSm\n", "iPjbiFi5gD/bAOwETo/g5EGOL0mSNEoGnbH6InBuZq4BtgFX7OsPMtkD/FP568sGPL4kSdLIGChY\n", "Zea1mbm3/PVbsOAZqC+XP18+yPElSZJGSZ09Vr8K/N0Cx3aC1csiWPReEZIkSaNk+b4GRMS1wKqK\n", "t67MzGvKMe8GnsrMv5zjM9Z3/ToN+U/A/RQzXKdTLCNKkiQ1KiKmgKnaPm/Qndcj4g3AbwAvz8wn\n", "Kt6v3ME0gv8J/ALwlkw+PFARkiRJNWh15/WIuAz4XeDVVaFqHzrLgT83SA2SJEmjYqAZq4i4BVgB\n", "/Lh86RuZ+ZZZY+aasXoWcCdwCHBOJlsXXYgkSVINBp2xavQmzP3v8WHg3wP/byb/fqiFSJIk7cNS\n", "D1ZnAVuBx4FTMnlgqMVIkiTNo9Ueq0FlchPw9xTLgb/XZi2SJEmDanXGqnifi4F/ptj64Zcz+cRQ\n", "C5IkSZrDkp6xAsjk28D/Xv76kQhe0WY9kiRJi9V6sCr9P8CfUywJfiGC/zOCg1quSZIkab+MRLDK\n", "JCk2Gb2qfOk/Atsi+LUIDmmvMkmSpIVrvceqfzyXAv8XcF750kPAx4E/zWTLEEqUJEkClvh2C3P/\n", "DcuAXwLeDlzc9dYG4G+Av3VDUUmSVLexDFa9f89aimXCXwGO7HprK/B54B+Ar2fy5ECFSpKkiTf2\n", "wWrmczgYeAXwb4FXAUd3vf0Y8BWKkPVF4Jayb0uSJGnBJiZY9X4mBwI/BVwG/AxwwawhdwPTwFfL\n", "n9sMWpIkaV9aC1YR8V6KmaMEHgDekJl31F3gwmrhROCVFEHrZcCxs4bcw0zImgZuNmhJkqTZ2gxW\n", "R2TmzvL524A1mfnrdRe4/3URwNnAFPDS8udxs4btoNjt/V/Kx/cyeaKpGiVJ0mgaiaXAiLgCWJmZ\n", "76p4r9Fg1X98AjiTImBNUYStVbOGPQV8F/gGZdjK5O7mqpQkSaOg1WAVEf8JeB1F8/glmflQ3QXW\n", "rQxapwMvBv5V+TgXmF3jdmZmtL4FbM7kqeYqlSRJTRtqsIqIa+mf3QG4MjOv6Rr3LuDMzHxjVYHA\n", "e7pems7M6cUWPAwRrARexEzQugQ4Ytawpyj20fp21+PWTPY2WKokSapRRExRrGh1XDUKS4GnAn+X\n", "medVvDdSM1YLUW5Qei4zQesi4KyKoQ8B36ErbGVyT1N1SpKkerXZvH56Zt5SPn8bcHFmvq7uAkdF\n", "Oav1Qoqd4C+mmOE6oWLoD+md1fpuJruaqlOSJC1em8Hqrymawp8GbgN+MzN31F3gKIvgJGaC1sUU\n", "M1uzlxD3UuwS/93ycR2wMZPHGixVkiQtwEh8K3DeA4xxsJotggMowmZ32FoDHDhr6Oyw9V2KsPVo\n", "c9VKkqTZDFYjrrwVzxrgBV2Pc4Hls4buBW6if2bLsCVJUkMMVktQGbYuoDdsnce+w1ZnZsueLUmS\n", "hsBgNSb2I2wl1TNbhi1JkgZksBpjZdg6n96wdT7VYWsb8D2Kvba+B2zI5MfNVStJ0tJnsJow+xG2\n", "AH5AEbSeCVvAj7wBtSRJ1QxWIoKDKBri1wEXlj/XAodUDN9Bf9j6vjvIS5JksNIcyt3jz2AmaHVC\n", "11EVwx8BNjITtDYAWzPZ00y1kiSNBoOVFqy8AfVzmAlbnZ9VO8g/AWyht29rSyZPNFOtJEnNM1hp\n", "YBGsondWax3w3IqhT1NsbNodtjZm8khDpUqSNFQGKw1FBEdR9Gl1LyWeDRxQMfw2+r+R2Hd7I0mS\n", "Rl3rwSoi3gH8EXBMZvZ9vd9gNT4iOJTiG4jdS4nnAysqht9Ff5P8D/1GoiRplLUarCLiFOBPKe6P\n", "9wKD1eSJ4EDgHHqXEtcCh1cM/zEzYavz2JbJ081UK0nS/NoOVn8FvBf4LAYrlcqbUT+f3p6tC4Fn\n", "Vwx/HNhMb9iySV6S1IrWglVEvBqYyszfjojbMVhpHuU3Ek9mZmar8zi1YninSb47bG3M5KFmqpUk\n", "TaqhBquIuBZYVfHWu4ErgVdm5iNlsHphZj5Qd4EabxE8m2LpsDtsnUl1k/x2+pcS3UleklSbVmas\n", "IuI84MvAY+VLJ1M0K1+cmTtmjU3gPV0vTWfm9KKq1UToapLvDlvnAwdXDL+P/rB1qzvJS5IWIiKm\n", "gKmul65qfbsFlwI1bBEsB86iN2ytpXon+UeBTfSGrRsyebKZaiVJS1Xr2y2URXyfYinQYKXGdO0k\n", "P7tv66SK4buBG+kNW5vc3FSS1G0kgtW8BzBYqWERHEt/2DodqLoOb2PWUmIm9zRUqiRpxBispAWI\n", "4HDgAnrD1nlUb256D/19W7fbtyVJ489gJS1SBCsobtMzu2/riIrhj9Dft3VjJrubqVaS1ASDlVSj\n", "cnPT0+hfSqzaduQp4Hp6w9bmTHY1U60kqW4GK6kBEayif2br+RVDE9gGbKS3b+u+hkqVJA3AYCW1\n", "JIIjgTX0Bq5zgeUVw7tvSt15/MDNTSVptBispBESwUEU4ao7bK0BDqsY/iDFzFb37NZNmexpplpJ\n", "0mwGK2nEzbopdffj2IrhTwBb6L8p9WMVYyVJNTNYSUtQubnpifSHrdUVw/cCN9Hft9W3Ia8kaTAG\n", "K2mMRHAU/TelPhtYVjH8h/T3bd1p35YkLZ7BShpzERxCsZlpd9i6ADikYvgDzJrZArZl8nQz1UrS\n", "0mawkiZQBMuAM+hfSnxWxfDHgM30hq3rM3mimWolaeloLVhFxHrg1+GZ/XmuyMx/qLtASQtT9m2d\n", "Qn/YOqVi+NPAVnrD1sZMHmqmWkkaTW0Gq6uAnZn5oX2MM1hJLYrg2fT3bZ0JHFAx/Hb6+7butm9L\n", "0qRoO1jtyswP7mOcwUoaMREcSv9Nqc8HDqoYvoP+vq1bvSm1pHHUdrB6I/AwcB3wjszsW0YwWElL\n", "QwQHUsxkzV5KXFkxfBf9N6W+IZOnmqlWkoZjqMEqIq6l+uaz7wa+yUx/1XuBEzLz1+ouUFJ7yr6t\n", "1fSHrRMrhu8GbqB3dmtTJo80Uqwk1WAkvhUYEauBazLz/Ir3EnhP10vTmTk98EEltSaC4+jv2zod\n", "qPqX0a3M6tvK5N6GSpWkeUXEFDDV9dJVbS0FnpCZd5fPfxu4KDN/uWKcM1bSBIjgcPpvSn0ecGDF\n", "8Lspv4nITOD6vk3yktrWZo/Vxyj+H2tSfJPozZnZ9/9CDVbS5IpgBcXO8d1hay1wRMXwR+hvkt+a\n", "ye5mqpWkEVkKnPcABitJXcqbUj+X/r6t4yuGPwlcT3/f1qPNVCtp0hisJI2FCFbRH7aeVzE0gW30\n", "923d31CpksaYwUrS2IpgJf19W+cAyyuG30l/39YP7NuStD8MVpImSgQHAefSG7bWAIdVDH+Q/r6t\n", "mzPZ00y1kpYag5WkiVfelPr59C8lHlMx/AlmbkrdCV2bM3m8mWoljTKDlSRVKDc3PZH+sLW6Yvhe\n", "4Cb6b0r940aKlTQyDFaStB8iOJr+zU3PApZVDP8BXUGr/HmnfVvS+DJYSdKAIjiEYjPT7rB1AXBI\n", "xfD76e/buiWTp5upVtIwGawkaQgiWA6cQf9S4tEVwx+j96bUG4HrM3mimWol1cVgJUkNKfu2TqV/\n", "KfGUiuF7gK3092093Ey1khbDYCVJLYvgGPrD1plU35T6+/T3bd1t35Y0GgxWkjSCIjgMOJ/esHU+\n", "cFDF8B3M2kkeuC2Tvc1UK6mj1WAVEW8D3gI8DXw+My+vu0BJGhcRHEjxDcTZN6VeWTF8J0XfVnej\n", "/A2ZPNVMtdJkai1YRcSlwJXAv87M3RFxbGbeV3eBkjTOyr6t1fQ3yZ9YMXw3cAO9S4mbMnmkkWKl\n", "CdBmsPoU8N8y8x/3Mc5gJUn7KYLj6A9bp88x/FZmZrY6P++xb0vaf20Gqw3AZ4HLKG4R8TuZeV3d\n", "BUqSChEcQbG/Vvcy4nnAiorhnb6t7qXEW+3bkuY3aG6pukN894dfC6yqeOvd5d8enZmXRMRFwKeA\n", "587xOeu7fp3OzOlFVStJEyyTncA/lw8AIljBTN/W2q6fxwE/Uz46Ho2o7Ntyvy1NrIiYAqZq+7wB\n", "Zqz+HnhfZn61/P1W4EWZ+cCscc5YSVKDZvVtdW8DcVLF8M5+W91LiRszebCRYqUR0+ZS4JuBEzPz\n", "qog4A/hSZp5ad4GSpHpEcCxF0Oqe2ToTOKBiuPdJ1ERqM1gdCHyU4h/Mp4B3VC3xGawkaXRFcCi9\n", "+22tpejjOrhi+AOUM1rMhK5tmexpplpp+NwgVJJUq1n3SexeSnxWxfAngM30LiVuzuSxZqqV6mWw\n", "kiQNXdm3dTL9TfKrK4bvBW5m1hYQmdzfSLHSAAxWkqTWRHA0/X1b5wDLKobfRX/f1nb7tjRKDFaS\n", "pJESwcHAufTObq0BDqsY/jD9fVtbM9ndTLVSL4OVJGnkRbAMeB79fVvHVQx/Crie3qXETeU+XtJQ\n", "GawkSUtWBCfQ37f1/IqhScWtezK5p6FSNSEMVpKksRLBkczcuqcTuM4DDqwYfi/9t+65zVv3aLEM\n", "VpKksVfeuuds+me3jqwYvgt6bt2zEbg+kyebqVZLmcFKkjSRyi0gTqM/bM11654b6b91z0PNVKul\n", "wmAlSVKXCI6j+BZi927yZwJV/1u0nf4tIO5yC4jJZbCSJGkfIjiMmVv3dGa3zqf61j33U33rnqeb\n", "qVZtMlhJkrQI5a17zqR/C4ijK4Y/Tv+te7Z4657x0+ZNmD9JcUECHAU8lJnr6i5QkqSmlH1bp9Ab\n", "tNYCz6kY3rl1T89SYiYPNFOthmEkZqwi4gMUwer3K94zWEmSlrQInsVM31YndJ1N9a177qR/C4gf\n", "2Le1NLQerCIigB8Al2bmbRXvG6wkSWMngkOovnXPoRXDH6K3b2sj3rpnJI1CsHoJ8MHMvGiO9w1W\n", "kqSJUN665/n0920dWzH8Sapv3bOrmWpVZajBKiKuBVZVvHVlZl5TjvkwsC0z//NcBQLv6XppOjOn\n", "F1uwJElLSdm3dQL9fVvPqxjeuXXP7L6te5updvJExBQw1fXSVa3NWEXEcoq15Asz80dzjHHGSpKk\n", "WSJYSf+te86l+tY999Dbt7URb90zFK0uBUbEZcDlmXnpPGMMVpIkLUB5655z6N9N/oiK4buY2QKi\n", "87g+k8ebqXY8tR2s/hz4Rmb+93nGGKwkSVqkCA6guHVP91LiGqpv3bMXuImyX4uZW/fsaKbapa/1\n", "5vV9HsBgJUlS7SI4liJgre16nEX1FhB30zuztRG41aXEfgYrSZIE9GwB0R241lC9lPgoM0uJndmt\n", "id9N3mAlSZLmNGspsftxcsXwvcA2Zs1uTdK3Eg1WkiRpv0XwbPqXEs+heinxHrp6tsrHLeN4Y2qD\n", "lSRJqkUEB1OEq+6wtQY4smJ4942pO48tmTzaTLXDYbCSJElDU25wupr+pcRTK4YnxVLi7Nmte5bK\n", "vRINVpIkqXFdN6buntk6F1heMXwHvUFrE7Atkz3NVLtwBitJkjQSIjgIOJv+2a2VFcOfALbQG7g2\n", "t32vRIOVJEkaWeVS4nPondlaS7G8OFvnXomzZ7d+1NRSosFKkiQtOREcTXGvxO6ZrbnulXg//Ruc\n", "3jyMpUSDlSRJGgvlvRLPpn8biKMrhj9J9VLizsFqaClYRcTFwB9TJMs9wFsy8zt1FyhJkiZXuZR4\n", "Cv19W6fN8Se30T+7dddClxLbDFbTwB9k5hci4meBd2bmpXUXqP0XEVOZOd12HZPEc948z3nzPOfN\n", "85zPLYKV9C8lngesqBj+ALNuTA3clMnu/s8dLLdUfSVyoe5mpsv/KOCuAT5L9ZoCpluuYdJM4Tlv\n", "2hSe86ZN4Tlv2hSe80qZPAx8rXwAEMGBFDeinj279Wzg5eWj46kIbqA3cG0YtK5BgtW7gK9HxAeA\n", "A4AXD1qMJEnSYpUzUFvKx8fhmaXEk+gPW88D1pWPjrcOWsO8wSoirgVWVbz1buDtwNsz89MR8fPA\n", "R4FXDFqQJElSXcreqjvLx//XeT2CIymWEjuN8muA7w56vEF6rB7JzCPL5wE8lJl9G4BFxJLYwl6S\n", "JAmgrR6rWyPipZn5VeBlFPcG6mPjuiRJmhSDBKs3AX8SEQdR3OH6TfWUJEmStDQNfYNQSZKkSXHA\n", "MD88Ii6LiJsi4paIuHyYx5pkEbE9IjZHxIaI+Hb52rMi4tqI2BYRX4yIo9qucymLiI9GxL0RsaXr\n", "tTnPcURcUV73N0XEK9upemmb45yvj4g7y2t9Q7mHXuc9z/kAIuKUiPhKRNwQEddHxNvL173Oh2Se\n", "c+51PiQRcXBEfCsiNkbEjRHxB+XrtV3nQ5uxiohlwM3AT1PscfUd4LWZuXUoB5xgEXE78ILM/HHX\n", "a+8H7s/M95eh9ujMfFdrRS5xEfFTwC7gY5l5fvla5TmOiHOAvwQuoviK75eAMzJzb0vlL0lznPOr\n", "gJ2Z+aFZYz3nA4qIVcCqzNwYEYdTfDvq54A34nU+FPOc81/A63xoIuLQzHwsIpYDXwd+B3gVNV3n\n", "w5yxuhi4NTO3Z+Zu4JPAq4d4vEk3+0sCrwKuLp9fTfEPqxYpM78GPDjr5bnO8auBT2Tm7szcTnGn\n", "9oubqHOczHHOof9aB8/5wDLznszcWD7fBWyl+B8Sr/Mhmeecg9f50GTmY+XTFcAyin/P1HadDzNY\n", "nQTc0fX7ncxcMKpXAl+KiOsi4jfK147PzHvL5/cCx7dT2lib6xyfSHG9d3jt1+ttEbEpIj7SNV3v\n", "Oa9RRKym2DTxW3idN6LrnH+zfMnrfEgi4oCI2EhxPX8lM2+gxut8mMHKrvjm/ERmrgN+Fvitcgnl\n", "GVms9/rfxxAt4Bx7/uvxYYobr66luK3WB+cZ6zlfhHJJ6m+A/5CZO7vf8zofjvKc/zXFOd+F1/lQ\n", "ZebezFwLnAy8JCIunfX+QNf5MIPVXRR3o+44hd7Up5pk5t3lz/uAT1NMU95brt8TEScAO9qrcGzN\n", "dY5nX/sn4700a5GZO7IE/BkzU/Ke8xpExIEUoerjmfmZ8mWv8yHqOud/0TnnXufNyMyHgc8DL6DG\n", "63yYweo64PSIWB0RK4BfBD43xONNpIg4NCKOKJ8fBryS4h5JnwNeXw57PfCZ6k/QAOY6x58Dfiki\n", "VkTEacDpwLdbqG/slP/C63gNxbUOnvOBRUQAHwFuzMz/0vWW1/mQzHXOvc6HJyKO6SytRsQhFLfi\n", "20CN1/kgG4TOKzP3RMRbgS9QNId9xG8EDsXxwKeLfz5ZDvyPzPxiRFwHfCoifg3YTvEtEy1SRHwC\n", "eClwTETcAfwe8D4qznFm3hgRnwJuBPYAb0k3jNtvFef8KmAqItZSTMXfDrwZPOc1+QngV4DNEbGh\n", "fO0KvM6HqeqcXwm81ut8aE4Aro6IAygmlz6emV8uz38t17kbhEqSJNVkqBuESpIkTRKDlSRJUk0M\n", "VpIkSTUxWEmSJNXEYCVJklQTg5UkSVJNDFaSJEk1MVhJGkkR8cqIeFdE/GpEfCMiXhMRn2y7Lkma\n", "z9B2XpekAe3JzPdFxP8K/FVmfjoiHm67KEmajzNWkhoREZdXPZ9LZv5j+fQnga/Neq2VmiRpXwxW\n", "kppy8BzP92Ud8N2aa6mqY39qkqRKBitJIysiDgZ2Z+betmuRpIUwWEkaSRFxNnA5kBGxpu16JGkh\n", "bF6X1JqIWAl8CDgD2A0cBdwFfD0z/xB4T03HOQN4AzANXAzclpmfqOOzJambwUpSmy4C3gy8Hrga\n", "+K3M/K/78wER8U7gkDnevhq4D/hrYCozfxwRvw18bPElS9LcDFaSWpOZXwKIiOdm5p6IOHkRn/H+\n", "+d6PiNcB15ehagVwXGb+cHEVS9L87LGS1KqIeDnF8h/A2iEc4hhgQ/n8ZcC/DOEYkgQYrCS17/XA\n", "Z8vnh0dE1Pz5nwROiYj/BXgn8IWaP1+SnjFwsIqIj0bEvRGxpY6CJE2WzPx3mXlX+fzFmZk1f/7d\n", "mfn2zPw8cDhFA7skDUUdM1Z/DlxWw+dI0lBExGERsR44Bbik5XIkjbGBg1Vmfg14sIZaJGkoMvPR\n", "zFyfmSd0GuYlaRjssZLUlOk5nrdpeo7nkrQoQ99uISJq7ZeQtHR196XX36O+OKNYk6R2Zeai/2XQ\n", "0D5W+ZpMPtPMsRQR6zNzfdt1TBLPefM8583znDfPc968QSeEmloKPLah40iSJLWmju0WPkGx4d4Z\n", "EXFHRLyxYtgxgx5HkiRp1A28FJiZr13AMGesmjXddgETaLrtAibQdNsFTKDptguYQNNtF6D9EzXv\n", "xdd/gIiE/ItMXjfUA0mSJA0oInKQ5vWmeqxcCpQkSWPP5nVJkqSaGKwkSZJq4lKgJElSTZoKVodG\n", "cGhDx5IkSWpFk/cKdDlQkiSNtSaDlcuBkiRprDljJUmSVBODlSRJUk0MVpIkSTWp4ybMl0XETRFx\n", "S0RcPs9Qe6wkSdJYGyhYRcQy4I+By4BzgNdGxNlzDHfGSpIkjbVBZ6wuBm7NzO2ZuRv4JPDqOcYa\n", "rCRJ0lgbNFidBNzR9fud5WtVXAqUJEljbfmAf58LG7YeePSsiA+sB6Yzc3rA40qSJA0sIqaAqdo+\n", "L3OB2ai6mEuA9Zl5Wfn7FcDezPzDrjFZ5q8HM3nWgPVKkiQNTURkZsZi/37QpcDrgNMjYnVErAB+\n", "EfhcxbgEjo4YeIZMkiRpZA0UrDJzD/BW4AvAjcD/zMytFUPvK38eP8jxJEmSRtlAS4ELOkCxFPgd\n", "4CLgJzP556EeUJIkaZHaXgpcqNvLn6sbOp4kSVLjmgpW28ufpzV0PEmSpMY5YyVJklSTpoOVM1aS\n", "JGlsuRQoSZJUk6a+FXgI8DiwBzgkkz1DPagkSdIiLIlvBWbyBHA3xS105rqXoCRJ0pLW1FIg2Gcl\n", "SZLGXJPBanv5c3WDx5QkSWqMM1aSJEk1GShYRcTPR8QNEfF0RFy4j+HuZSVJksbaoDNWW4DXAP+0\n", "gLHby5+47Zr0AAAXCElEQVTOWEmSpLG0fJA/zsybACIW9K1ElwIlSdJYa7LH6g5gN3ByBIc1eFxJ\n", "kqRG7DNYRcS1EbGl4vFv9udAmewGbil/PWsxxUqSJI2yfS4FZuYrBj1IRKwvnr0JeC0wdTbw3UE/\n", "V5IkaRARMQVM1fV5A/VYzTJno1VmrgeI4ADgHODsGo8rSZK0KJk5DUx3fo+Iqwb5vEG3W3hNRNwB\n", "XAJ8PiL+fh9/srX8ec4gx5UkSRpFjdyEuXMzwwjWABuBmzPts5IkSaNl0JswNx2sDgEeBfYCh2by\n", "1FAPLkmStB8GDVZNbrdAJo8D3weWAac3eWxJkqRhazRYlTp9VjawS5KksdJGsLqx/GkDuyRJGivO\n", "WEmSJNWkzRmr81s4tiRJ0tA0+q3A4ncOBnZSNLCvzGTnUAuQJElaoCX1rUCATJ4ANlHs1H5h08eX\n", "JEkaljaWAgG+Xf68uKXjS5Ik1c5gJUmSVBODlSRJUk0GvQnzH0XE1ojYFBF/GxErF/inN1M0sJ8a\n", "wapBapAkSRoVg85YfRE4NzPXANuAKxbyR5k8DVxX/nrRgDVIkiSNhIGCVWZem5l7y1+/BZy8H3/u\n", "cqAkSRordfZY/Srwd/sx/hvlz1fUWIMkSVJrlu9rQERcC5V9UFdm5jXlmHcDT2XmX87xGeu7fp3O\n", "zGngS8DjwIsiODmTO/ezdkmSpIFExBQwVdvnDbrzekS8AfgN4OWZ+UTF+3PuYBrB3wKvAd6eyf89\n", "UCGSJEkDanXn9Yi4DPhd4NVVoWoB/qb8+W8HqUOSJGkUDDRjFRG3ACuAH5cvfSMz3zJrzHwzViuB\n", "+yjuG3hCJjsWXYwkSdKABp2xavwmzP3v83fAzwJvzeRPhlqMJEnSPJbcTZgrXF3+vDKCw1utRJIk\n", "aQCjEKz+CvgOcCLwzpZrkSRJWrTWlwKLMfwr4J+BJ4DzMrltqEVJkiRVGIelQDL5F+ATwMHAlyJ4\n", "TsslSZIk7beRCFal36S4zc1q4CsRvLDdciRJkvbPyASrTB4Gfoai3+o04JsRvD+Co9utTJIkaWFG\n", "JlgBZPIQxbbyH6Ko7XeB7RG8L4Lnt1mbJEnSvoxE83r13/Ei4PeBn+56eRr4M+AzmTxaT4WSJEmF\n", "Jb9B6L7/nhcDbwZ+ATikfPlx4IvAp4FrMp/Z+V2SJGnRxj5YzXwOK4FfAt4AXNL11l7gWxRB64vA\n", "tzPZM+jxJEnS5JmYYNX7mZwEvAp4DXApsLzr7UeAL5ePfwJuyGRvnceXJEnjqbVgFRHvpQg3CTwA\n", "vCEz76i7wH3XwREUDe+vLB9nzBryIPB1ipD1NeB7meweVj2SJGnpajNYHZGZO8vnbwPWZOav113g\n", "/tfFauAVwEuBlwCnzBryGPANZoLWdzLZ1VR9kiRpdI3EUmBEXAGszMx3VbzXaLDqPz7PoQhYLwF+\n", "Cjhz1pC9wPXAN7seN7t8KEnS5Gk1WEXEfwJeRzELdElmPlR3gXWL4HjgJymC1k8CF9DbowXwMMUu\n", "8J2g9a1MHmiyTkmS1LyhBquIuBZYVfHWlZl5Tde4dwFnZuYbqwoE3tP10nRmTi+24LpFcAhwIcU3\n", "DTuPkyuG3kIZsih2h9+cyRNN1SlJkuoXEVMUvdodV43CUuCpwN9l5nkV743UjNVCRHAy8KLycQnw\n", "Qmb20OrYA2wBrut6XJ/JUw2WKkmSatRm8/rpmXlL+fxtwMWZ+bq6CxwFERwInE8Rsl4EvAA4B5j9\n", "n+tJYBO9YWur+2pJkrQ0tBms/pqiEfxp4DbgNzNzR90FjqoIDgfWAhdRzGi9kP6tHqDYJX4DM0Hr\n", "O8A2m+MlSRo9I/GtwHkPMKbBqkq5O/yFzAStFwLPrRi6C/hu+fhe+diWydMNlSpJkioYrEZcBM+m\n", "WDrsDluz99aC4puVm5gJWt8DbrRnS5Kk5hislqByy4cXAusoZrguBJ5TMfQpij22usPWlkwea6hU\n", "SZImisFqTJQzW52g1flZ1bO1F9hKb9jamMkjDZUqSdLYMliNsQiOBNYwM6u1juLbiMsqht9Kb9ja\n", "kMn9DZUqSdJYMFhNmHJD0/OZCVsXlr+vqBh+B71h63vA3ZkM9790SZKWKIOViGAFcDa9YWstcGjF\n", "8B0U2z90P25z+wdJkgxWmkMEy4DT6Q1bFwIrK4bvovhGYnfYusFvJEqSJo3BSgsWQQCnUcxmret6\n", "nFgxfDdwA0XI2lj+3GSTvCRpnBmsNLAIjmMmZHVC1+n037IHiib5zqzWRoom+XsaKlWSpKEyWGko\n", "IjgCuIDewHUe1U3y99C7jLgR+L59W5Kkpab1YBUR7wD+CDgmM39c8b7Bakx0Ncl3LyOuBY6oGL6T\n", "mSXEzmOrfVuSpFHWarCKiFOAP6W4GfMLDFaTJ4IDKPq21s16rKoY/hQzfVudx6ZMdjVTrSRJ82s7\n", "WP0V8F7gsxis1CWCVfQ3yT+/YmjS27e1gaJva0dDpUqS9IzWglVEvBqYyszfjojbMVhpH8qd5Lv7\n", "ttYB5wIHVgz/Ef1Libe7uakkaZiGGqwi4lqql3TeDVwJvDIzHymD1Qsz84G6C9R4K/u2zqV3dmst\n", "cHjF8IcpwlZ34Nqaye5mqpUkjbtWZqwi4jzgy8Bj5UsnA3cBF2fmjlljE3hP10vTmTm9qGo1Ecq+\n", "refRu/3DOuD4iuFPAtfTv9/Wo81UK0layiJiCpjqeumq1rdbcClQTYjgBPr323pexdAEttG/39Z9\n", "DZUqSVqiWt9uoSzi+xRLgQYrNSqClcAaegPXucDyiuF30b/f1nb7tiRJHSMRrOY9gMFKDYvgIIpw\n", "1d0kvwY4rGL4Q/Q3yd+UyZ5mqpUkjRKDlbQAZd/W8+nfb+vYiuFPAlvoDVubM5/pKZQkjSmDlbRI\n", "5U2pu/u2Oo/TKobvpbdvq7PfVt83YSVJS5fBSqpZBEfR27e1DjgHWFYx/A76lxJ/aN+WJC1NBiup\n", "AREcTHET6u7tH9YAh1YMf5De7R82ADfbtyVJo89gJbUkgmXA6fTvt3VMxfAngM30hq0t9m1J0mgx\n", "WEkjpOzbOon+/bZWVwzfC9xM/35b9m1JUksMVtISEMHRFCGre2brbObu25q9lGjfliQ1wGAlLVFd\n", "fVvds1vz9W11glbnp/ttSVLNDFbSGOnq2+qe2Zqvb2sL/X1b3idRkhbJYCWNubJv60T6+7YWst9W\n", "p2/r/maqlaSlzWAlTahyv63ZfVtz7bd1J/19Wz+wb0uSerUWrCJiPfDrwH3lS1dk5j/UXaCkhSv7\n", "trrvk9jp21rIfRI3Alvt25I0ydoMVlcBOzPzQ/sYZ7CSWlT2bXXuk9g9u7Wv+yR2Qtdm+7YkTYpB\n", "c8vyQY8/4N9LGrJMnqbYL+tm4JPQ07fVHbTWAs8FXlg+nvmIiL77JG7MfGa2WpJUGnTG6o3Aw8B1\n", "wDsy86GKcc5YSUtE130SZ/dtVf2fsLuY1SQPbLdvS9JSNtSlwIi4FlhV8da7gW8y01/1XuCEzPy1\n", "uguU1K4IDqK/b2st1X1bD1Pdt7W7mWolaTAj8a3AiFgNXJOZ51e8l8B7ul6azszpgQ8qqTURHEB1\n", "39ZxFcOfBK6nv29rVzPVStLcImIKmOp66aq2mtdPyMy7y+e/DVyUmb9cMc4ZK2kClH1bJ9Dft/W8\n", "iuEJ3EJ/39aOZqqVpGptfivwYxT/0kzgduDNmXlv3QVKWtoiWEnRt9U9u3Uu1X1bP6K/b+t2+7Yk\n", "NWUklgLnPYDBStIsXX1b3bNba4DDK4Y/Qm/f1gbs25I0JAYrSWOh7Nt6Hv237jm+YvhTzPRtdWa3\n", "Ntm3JWlQBitJYy2ir29rHfP3bfXMbtm3JWl/GKwkTZwIjqS6b+vAiuF3M6tJHvi+fVuSqhisJAmI\n", "YAX9fVtrmb9vq3t2a2smTzVTraRRZbCSpDmUfVvPpb9vq2rj46eAG+jv29rZTLWSRoHBSpL2UwSr\n", "6N/c9PkVQxO4ld7tHzZk0re1jKTxYLCSpBpEcAQzfVud0HUe1X1b91Ddt7W3mWolDYvBSpKGpOzb\n", "Oofe2a21wBEVw3fS37d1o31b0tJisJKkBpV9W6fR37d1QsXw3fT2bXXuk/hIM9VK2l8GK0kaAREc\n", "T3/f1ulzDK/q27qniTolzc9gJUkjquzbuoD+vq0VFcPvof/WPfZtSQ1rNVhFxNuAtwBPA5/PzMvr\n", "LlCSxknZt3U2/X1bR1YM3wlsond26wb7tqThaS1YRcSlwJXAv87M3RFxbGbeV3eBkjTuuvq2Zm9u\n", "emLF8N3AjfTObG2yb0uqR5vB6lPAf8vMf9zHOIOVJC1C2bfVPavV6duq+nfqbfRu/7Ahk7sbKlUa\n", "G20Gqw3AZ4HLgCeA38nM6+ouUJI0I4LD6e3bWsfcfVv30t+3dZt9W9LcBs0ty/fx4ddSfeuHd5d/\n", "e3RmXhIRFwGforh1RNXnrO/6dTozpxdVrSRNuEx2Af9SPgCI4ECq+7aOB36mfHTsiqjs23qykf8A\n", "0oiJiClgqrbPG2DG6u+B92XmV8vfbwVelJkPzBrnjJUkNSyCoLpv66SK4Xso9tvqnt3alMnDzVQr\n", "jY42lwLfDJyYmVdFxBnAlzLz1LoLlCTVJ4Lj6O/bOoPqvq3vM6tvC7g7k+Hu0yO1qM1gdSDwUYp/\n", "MJ8C3lG1xGewkqTR1tW31T27dT7VfVs7mLW5KXCrfVsaF24QKkmqXdm3dRb9t+5ZWTH8UWb22+qE\n", "ruvt29JSZLCSJDWi7NtaTf+te+bq27qR3pmtjfZtadQZrCRJrYrgWPqb5M+kum/rdnq3f9gI/Mi+\n", "LY0Kg5UkaeREcBjVfVsHVQy/j/6+rVvs21IbDFaSpCUhguVU920dVTH8UWAzvbNbN2TyRDPValIZ\n", "rCRJS1bZt/Uc+vu2Tq4YvgfYSu/s1sZMHmqmWk0Cg5UkaexEcAzVfVsHVAy/nVlN8sBd9m1pMQxW\n", "kqSJUPZtnU/v7Nb5wMEVw++nf3PTWzJ5uplqtVQZrCRJE6vs2zqT3ptSrwWOrhj+GMV+W92zW9fb\n", "t6VuBitJkrqUfVun0t+3dUrF8Kep7tt6sJlqNWoMVpIkLUAEz6a/b+ssqvu2ttM7s7UB+7YmgsFK\n", "kqRFiuBQ+vu2LmDuvq1nZrXKn9vs2xovbd6E+ZMU69pQ7EHyUGauq7tASZKaVPZtnUFv39Y65u7b\n", "2kx/39bjzVSruo3EjFVEfIAiWP1+xXsGK0nSklb2bZ1C/+amp1YMfxq4iVnfSrRva2loPVhFRAA/\n", "AC7NzNsq3jdYSZLGUtm3tYbema25+rZ+QP+te+60b2u0jEKwegnwwcy8aI73DVaSpIkRwSHM9G11\n", "ZrcuAA6pGP4A/Zub3mzfVnuGGqwi4lpgVcVbV2bmNeWYDwPbMvM/z1Ug8J6ul6Yzc3qxBUuStNR0\n", "9W11fytxHfCsiuGPM3OfxE7o2mLf1nBExBQw1fXSVa3NWEXEcuBO4MLM/NEcY5yxkiRplrJv62T6\n", "+7aeUzF8L/19WxszeaCZaidHq0uBEXEZcHlmXjrPGIOVJEkLFMGzKEJW9+zWWcCyiuF3Uoasrsft\n", "mextptrx03aw+nPgG5n53+cZY7CSJGkAZd/WecwErTXl49CK4TuZuXVP56e37lmg1pvX93kAg5Uk\n", "SbWLYBnwPGZmtzqPEyqGd7aA6J7Z2pTJfc1Uu3QYrCRJ0jMiOJ6ZGa1O2JprC4i7mJnV6jxum+Sl\n", "RIOVJEmaV9dSYvfM1hrgsIrhj9IftiZmN3mDlSRJ2m8RHAA8l/6lxJMqhu8FbmZWo3wmO5qptjkG\n", "K0mSVJsIjqV3GbGzlFj1rcS76f9W4m1LeYNTg5UkSRqqCA4GzqV/KfGIiuGPAlvoDVtbMnmsmWoH\n", "Y7CSJEmNK5cST6M3aK2luFn1bHuBbfR/K/GeZqpdOIOVJEkaGV03pu6e3TqH6qXEe+lfSrylzaVE\n", "g5UkSRpp5VLiOfTObK0FjqwY3rlX4uylxEebqdVgJUmSlpjyXomr6f9W4qkVwxO4hf7ZrXsyqTXI\n", "GKwkSdLYKO+VeAG9YetcYHnF8B303rpnI7Atkz2LP35LwSoiLgb+GDgQ2AO8JTO/U3eBkiRpskVw\n", "EHA2/d9KPKpi+BP0fytxcya7Fnas9oLVNPAHmfmFiPhZ4J2ZeWndBWr/RcRUZk63Xcck8Zw3z3Pe\n", "PM958zzncyuXEk+lfylxdcXwBG6lf0f5H81eShw0t1RNqy3U3cDK8vlRFPcb0miYAqZbrmHSTOE5\n", "b9oUnvOmTeE5b9oUnvNKZSD6Qfn4bOf1CI6i/1uJ5wKnl4//retj7o9gEzOBa3rQugYJVu8Cvh4R\n", "H6C4seOLBy1GkiRpEJk8BHy1fAAQwQqK3eNnz24dA7y8fAC8adDjzxusIuJaYFXFW+8G3g68PTM/\n", "HRE/D3wUeMWgBUmSJNUpk6cotnDYDHwMnllKPIWZ2a01wLcGPdYgPVaPZOaR5fMAHsrMlRXjhvu1\n", "Q0mSpBq11WN1a0S8NDO/CryMYqv6PjauS5KkSTFIsHoT8CcRcRDFLqkDr0tKkiQtZUPfIFSSJGlS\n", "HDDMD4+IyyLipoi4JSIuH+axJllEbI+IzRGxISK+Xb72rIi4NiK2RcQXI6JqEzUtUER8NCLujYgt\n", "Xa/NeY4j4oryur8pIl7ZTtVL2xznfH1E3Fle6xvKPfQ673nOBxARp0TEVyLihoi4PiLeXr7udT4k\n", "85xzr/MhiYiDI+JbEbExIm6MiD8oX6/tOh/ajFVELANuBn6aYo+r7wCvzcytQzngBIuI24EXZOaP\n", "u157P3B/Zr6/DLVHZ+a7WityiYuInwJ2AR/LzPPL1yrPcUScA/wlcBFwEvAl4IzM3NtS+UvSHOf8\n", "KmBnZn5o1ljP+YAiYhWwKjM3RsThwHeBnwPeiNf5UMxzzn8Br/OhiYhDM/OxiFgOfB34HeBV1HSd\n", "D3PG6mLg1szcnpm7gU8Crx7i8Sbd7C8JvAq4unx+NcU/rFqkzPwa8OCsl+c6x68GPpGZuzNzO8Vu\n", "vxc3Uec4meOcQ/+1Dp7zgWXmPZm5sXy+C9hK8T8kXudDMs85B6/zocnMx8qnK4BlFP+eqe06H2aw\n", "Ogm4o+v3O5m5YFSvBL4UEddFxG+Urx2fmfeWz+8Fjm+ntLE21zk+keJ67/Dar9fbImJTRHyka7re\n", "c16jiFgNrKPY08frvAFd5/yb5Ute50MSEQdExEaK6/krmXkDNV7nwwxWdsU35ycycx3ws8BvlUso\n", "z8hivdf/PoZoAefY81+PDwOnUWzmdzfwwXnGes4XoVyS+hvgP2Tmzu73vM6Hozznf01xznfhdT5U\n", "mbk3M9cCJwMviYhLZ70/0HU+zGB1F8WOph2n0Jv6VJPMvLv8eR/waYppynvL9Xsi4gRgR3sVjq25\n", "zvHsa/9kvJdmLTJzR5aAP2NmSt5zXoOIOJAiVH08Mz9Tvux1PkRd5/wvOufc67wZmfkw8HngBdR4\n", "nQ8zWF0HnB4RqyNiBfCLwOeGeLyJFBGHRsQR5fPDgFcCWyjO9evLYa8HPlP9CRrAXOf4c8AvRcSK\n", "iDiN4qaf326hvrFT/guv4zUU1zp4zgcWEQF8BLgxM/9L11te50My1zn3Oh+eiDims7QaEYdQ3Ipv\n", "AzVe54NsEDqvzNwTEW8FvkDRHPYRvxE4FMcDny7++WQ58D8y84sRcR3wqYj4NWA7xbdMtEgR8Qng\n", "pcAxEXEH8HvA+6g4x5l5Y0R8CrgR2AO8Jd0wbr9VnPOrgKmIWEsxFX878GbwnNfkJ4BfATZHxIby\n", "tSvwOh+mqnN+JfBar/OhOQG4OiIOoJhc+nhmfrk8/7Vc524QKkmSVJOhbhAqSZI0SQxWkiRJNTFY\n", "SZIk1cRgJUmSVBODlSRJUk0MVpIkSTUxWEmSJNXEYCVJklST/x9E6YGM/dzHIwAAAABJRU5ErkJg\n", "gg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/optimaltransp_5_entropic/exo1" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the final matrix." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Pi = np.dot(np.dot(np.diag(a),xi),np.diag(b))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAOcAAAE3CAYAAABRvVa7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJztXXuMXVXV3+fce+dxpzOd6ZvO9JHppI4daCtU2lDSQjr0\n", "EaC0tjwaoNBAeURACWAkGkRJ1Pj4fMW3RokxURONidHEf43RmGjURDGYaEBEa3wkKgZU4H5/4Lqs\n", "u+/ae639uvecO2cnv3R6H+ees/dea6/3ylqtlqpGNapRvJH3+waqUY1q0KMizmpUo6CjIs5qVKOg\n", "oyLOalSjoKMizmpUo6CjIs5qVKOgoyLOalSjoKMizmpUo6CjIs5qVKOgoyLOalSjqKPVavUcSqlW\n", "DNTr9dbJkyfb/8/zvOP9sbEx8nuNRsN4zb1794p++5prrmkppVpZlpHvr1mzpuu1kZGRKM9tAvWb\n", "1JzFvG6z2TS+t2nTpqTPq6/v6Oio9fOXX355a9myZaJrU+uK169Wq4muE0QnRSHOubk58uE2btwY\n", "vIi7du0SfW5ycjL6Btq2bZtxsW2vu8B0DbwRpb8j3bwcIbiCY1yXXnppSynV2rJli/iaO3futL5f\n", "r9db+/fvbyn1CuHGXvt169YNBnHGhs7RJyYmuk5WwJVXXim65tDQUMf/9eu95jWvEW00IJQYjEfH\n", "iRMnWkq9Kh3geZifn7d+d/Xq1ez1165da3xvw4YNVqlEB0c8OkySkGl+ARRz1tfSB5LTcyCJE4tf\n", "+mTX6/XW+Pi4caIw9z927Jj1d6SbaXp6OngxbcD3PDU11VJKtY4ePRrlZNUR+9SjmJ6JEQ4PDwf/\n", "3sqVK9t/33777S2l5IRLwSS1AaQi7I4dO9p/gxQ2kMSZClKOed1113URhmnDmTZOEWC7Zxvhb968\n", "ues128mKiWPDhg3W3zh48CA7l9dee633M2NGB9KMDySMkftMKYkz5okAJ01MZFkmIkYdW7duFX0O\n", "dKh+QnoiuAJLNQ8//HDX+yMjI22DWpFx5MgRr+/hfVNK4oyxgfbu3dtB5DoxuTIAk+WRug5HuNR9\n", "UQaniy66KHgT6SI+dQ/r169n59Nnzvbs2WN877zzzhNfx/RZXQy23Z+PNdx0vUOHDnW9hhnqVVdd\n", "Jbr+QBNnLNTrdatecvjwYedrmgxJKfREVxw/ftz5vkL0thjgVIKYJ72NkN/61reKrmFzIwEGgjhn\n", "ZmacJ1EKSn9KvfiABx54IPmmNhEdPt2lDENisVUqvoGM87+CpdmFgdxyyy3W98fHx9sW41BXiskv\n", "OhDEyW0uG7ABwMU9wYldJqL2ceRLsGrVKvLa4NvTTxbONWLbOBs2bOiwUt59993tv1PpokUB+J45\n", "5HnOErjpe/D3wBKn7aGVeoWL4s186tSpjvcXFhaSLTDoQuDE1jE7O9tlqIL7T0Xc0lMvFNj9ZDNs\n", "maQh2/Wk8Flbl3mn7gn00FqtJg5YKR1xmkQsHIqn1KtOakyUUhE19mJx8LXsYdjcPC6nmT5Hvrrk\n", "+eef3w5njKGPrlixItp8Y6xatSrJ/pDCZhQrHXFyD5tlmXUzjo2NdSyIUp2cbt26de2/jx49av0t\n", "qdU1RTQPdx9XX311klPWx0XkCtN9xyBysDwr9ao/VBJXbAIOHggBZq5wjwNHnEUDp9txPkufiJzF\n", "xUXr+5h5xSQ2aZDG1NRUm0Fyvy+N1401d9I5mZ2ddb7u7t27yddvvPHGllKqde+993a8XhEngUce\n", "eUT8WanIyFk8pb4v1991ga7nuoh5MXyuHFMJwRvf+EbR53TfaOxwRZf5LT1x2ja97b3FxUVrdJDp\n", "uxMTE+QJ4XICTUxMWN+nrhVDL7VBf16K+KWWSilsWSKuge2u0EVnk3EO1sNlfalgeRyWaNMzMULo\n", "pBDJ1itXrjS+9z9iJscPfvADtX79eufvHjhwQE1OTna9/vLLL6t6vW6501fHxMSE9X39t7MsU7/9\n", "7W9F1/Yd+m++9NJLXZ8ZGRmJ+ptPP/208b1nnnkm6m/p46GHHur4/wsvvGD87MTEhGo0GuJr/+xn\n", "P+t67Q9/+EP775/85Cfia3mPIpycvcDU1JTxJJX6C6UBEZwuA9E7KWKCbfd4ySWXBF//4osvNhp7\n", "TPqYCSBJUKFyHFxOQcoIFcPQJrmHUou1VKQJFxQ9OTlpFXexyT40lK4XpnlbIjbHOMoSMAB6oITB\n", "cZueSjsL8fFKiMzVFwtGsNIRpymnT5+A888/33misZmdg68OSLlVQkz5gOuvv558HRiYTog4Htim\n", "A1P6NcwTnCAUg8CvxcjDTAVpsIM+nxJgPdME2wFQOuI0Pci+ffs6/g/cB3O2oqYaSRYxBHgOOE4P\n", "Zn3p5004ePBge75jEKfum+Y2thT43lJGhZlgM4oNDHHqJyecFNddd137Nc5KGhvSzeMTguYCXNEB\n", "B1lQbgJdn9JFSamOrVQ8ptNoNFrHjx/vujcqE4VjBLY1kVpRXWG7J5uENxDEaSK6GJNN6Y3UAsfw\n", "85mey7ShJGlHHEzGDSziS08+U26ojhg1eDBMoibM2/bt253XiEtsyPO8nY2SwrawevXqchOnadMu\n", "X77c+uD693xTy6QO6pQ5mi5Jyal9h7HgG6Z35513tv8Gwjlz5kxP7tm0h0LWvtTEWQRIyy1K69pw\n", "iwk6YIpyjPrJh+/FJVKGCrmbnZ3tIB4duq7LAcTr2IxPv17q+rk2lJo4TXGXtmDkiYmJrsJNeKNj\n", "MY8zhthKPWK41Et1hUmkotwkscXJVLjiiiu8vofVGJgXW2wurG8IgYOUZprbEHdVqYnTBbqolGVZ\n", "x2mgW3K5jBQKUt0MdElTPO2BAwd6nr6UqmiYrTaTLa+RU01C4KOrr127NshwB/7zkZERsQV8yRCn\n", "C0wiKMWFpVyXWxAXK6hSaQIIdNHVJSoI61yuETQwh3pWRkxILce4AmKj0Ujqo73vvvus7w8ccaZK\n", "yvWBK8HFBhXih0V+H+mgH4AAC10npnrT6BUtdFBMLXVRNa44uQ5g5KUnzomJCSOntlXjloo2+mky\n", "OztLZh2kdGAvW7as52Iulb4VI75WCheC4T4Lpzo27ugnoq1msClyDPadTvCcSC7R/deuXVt+4kwB\n", "nahtiy8lSs7a6RoOmKK6AgTVw/NihsDdP1epXSm7H3RqakpsYFPKXUKSht3pemWqwASleCJd0sRp\n", "6yBmOo1tup7NVYABTnETKEJILXpJfIs+92DLk4xd5NkF+unG2QR2797txDxizF2piZOynnEZ75yx\n", "Iuam8ElniglKDMWbsEj6uQ3gitIJilpLrrIdtb6pwzpdAkWUepVRlpo4MfRTELgcPhGkvTYliHmS\n", "SXuk2GDj/Fic5JiTLtL7hgiuXbu2bQiJUaeI8l3HsFhjBp8isIODrVvAwBCnaXPF3OSu6HfDIWou\n", "sO6lZ/IUFaCP63oj9Xyc0YoS31MnHrjWRgK1ZuCIUz/RdKV7aGjI2uAGZzpcdtllQYsCnD1GgLor\n", "9u7d235OvPlszZsk8Kk6F4osy1pZlnVZrH2kl4svvrj9NxCNq9iJIfmuaztAqNUUQid9ryFE1bRp\n", "Npsqy7L2///zn/90vD83N6empqa6vgNjenq6/fevf/3roPvL81emaHR0NOg6toGfFY+nnnpKDQ0N\n", "KaWU+u9//9t+/X8MTin1St0j15G6lpFS3esKG+7cuXNdr7uOJ598sv33z3/+c6WUUmNjYx53+crA\n", "e8c0JPeJP/PXv/7V+346Lli0k5NCqH549OhRo746Pj7eYV21nUZYRzIZIbi4UjDipLDeUu3mARde\n", "eGHw9Wu1mvG+XaOKYB7ASJQqQJ1aT9saSUVkicpTerF2YWHBuLA2y53UmKBP9q5du1o33HBD1+dS\n", "xoJu2bIlSUEvG6iCWzENar0E7A+8H/S9YStRY3IHAaPRGQ7HaCSMdc2aNeUmToqrcUSybt26LqMA\n", "JlQccudaX0YH/E7KwsQmTE9Ps365XrRW8IF+X/B/iZ+R2/hYb4Xr+dSbAuDKEia4WpVhD5aaOCnY\n", "uFZqq5wOaTepVKDmAsfTUlkxRSTYq6++muyBQ0kwDz74oPfvpAr08PV3DxxxFg1cILbNt5ZlmVeV\n", "9YMHD1rfxxZsCeeX5oFKS0yuXLmybUnmLNkSXdJEVK61cDE4JuXTANiU4QLX0iWDijgdFpvb9Lbv\n", "SzuShd5jTEhrAunQk9mVsov24JtsNpvsPElO9pBsG6xXnz17Nuk8c2lspSTOmK3tsNXMJXaSWzRT\n", "QLxN/+CuCe+bYm+p+rdg6NDT10La6a1Zs6YjXQsnqlMV8XzRCwbkCmle6Nq1a70syHgPlpI4KUgc\n", "/Z/97Gf7vrj93oR4nqjffeKJJ6L8zvbt26O4XwAUM6HE7ZCQvn7UC7LZQULopO9BCHjUarWO/0NT\n", "oYWFhfZrH/nIR3p6T9IxPDyc9Prz8/Ptv3HjJwhSwGPfvn0d/9ebM0mbGT3xxBPRgi/q9bo6cuRI\n", "1+vLly/veo16Jul4/etf7/1d27A1QbrggguS/GahTk4OVDYCLjuiW1Z9zOvSnExwoJtEwB07dvTc\n", "/WJL7QqB7fS06Y8punKHYO/evUEGJpBSXKzhAyPWxoSLmClNu+KCn10r46VIAtYd8Tih22VOqODz\n", "+fl5q6P/vPPOc5oDW2pfCGHj2OHh4eGktX45116piZMq3ZHnudXYsWvXrq5IF7wA2ETOWSul+g1l\n", "vYwFqoeIUq8EYxTRZymBb8kXLG2Y1gYzGdC/fa3SSoVnQVEA5lJq4pTCpXsYhZ07dxrTq7Is6zCy\n", "2BYLW0xNPi8uRC6kXZ0U1MaOFVARy5oL9wgWaq66REzY0tI4hg3MQZKuV1ripLgdnKS9OjFiVE3g\n", "FlOie2KitwU1wLzEzDP1TSGDWGGu4LYvMwopGO1TTG1iYoKstohDQG33Qj1nKYnz/vvvj7a5MIH1\n", "Iu8ypOo6lIg0GVkogwUQt+6fwxvFdQPDPFH9OXtZoa8fkDLkkZERL8aAKyOUkjgp6Kelj57nkvnx\n", "wAMPWN93SY2KkdFy2223ka+DTqqf0FIiok42vTt4r1srxoSrX9QlUEXSVsJmvBoY4nSd+Guuuabj\n", "fVvbAAlcXB+cNZESy6lSmDGIwpT2hP8PVsXY1c9tIrhLXSXpfdnW1EenNl0P94SlnvWmm24SXX+g\n", "iRNw9uzZoGwFl8WyKfq4RAa3WfpRDiQFdFUhZnifL3xdLTHu/eGHHxZ/tnTEuW/fvmQGn5B4UylC\n", "jDFceBmlz8KJrm9I7GOT1tsFQPDGr371q673qFOsaAEFGK5ibcreKUp1MuzSEWevF6+fwdfvf//7\n", "k284CaOTzoG0UkJMg57t/nyicgBcv9CTJ0+2jUOhrRVNRcIGhjj1BQARJFUt0pg9N2OE6tkMFdBm\n", "AUN6mn3605/u+D/VPMi0+WN2Qlu9enUURtnLKvOS69kMlwNDnACutAi3wKYykj646KKLoi626yak\n", "/G44IMMna6QfUUdwn3ooHeWP5AxJVJK0rcFuDLjWXoLAioEjTn2D9moDmTYtV9fUJhLV63WrjmM6\n", "vV0sjydPnmQ/Iw3olyYLuLiOJMxAN7QBIJ7ZZJG2gfN5j4+PR/OLmySM0hNnlmXGCgUxYlopXxU1\n", "maYY1xCAgSo1Z6fgEyUj3fyxmSZ3PTDCuUgyeM5NxAMGOkrUD8X+/fvLT5w6uEx1LnIDVxMI5Yxw\n", "svXDqDQ6OkqeZFhs9wl+6MezgCSgi7U267QJeE5AKgmxH0iKxrmWNYV7LC1xUqcJNLtxdc77bjjp\n", "6ZJ6Q1955ZXtv00iHt7MMWvs+mZlwGlEEZhvywj8PZMLSQKfLJUtW7aQcyF1nVGMtLTECWg2m0aR\n", "MkaAt+5bHB0dJaN1UhRchs22atWqqJZPCShdNCS1KiU4AgYjId4POsPUT0B8TVPwATA5XcePwYwv\n", "vvji8hIn1WSoF0EEscGJRTGr8sGG8ynraILvtaBCHneypXb6U3jnO9/p/B2TdRyvB2cw010vpSVO\n", "Ezgxi9vsqSr79QNU0jL2h5alvQLMo762lATDEQBVuSJ1NpJrpg6cxANHnBg2Qjt48GCH6GIL/JbA\n", "ReTzqWFLFX+OEX9rcuXgewTxjYuEcZ0zW6kVaQlKpcylYnRVQNpgOHQdT5w4YX1WiftKqQEnzliw\n", "RadIsyekIV6UaIQBGQ8pGifZRMgYjXa3b99uFONda/WAi4tqKcHBxchEnaqh4XpKyaKnKuIk4NJT\n", "RRplw4nbrn7S0Ma+FPRQRxxtxYWi4Q1PfbZWq7ElXFzC51x1XemprtstpAEYPuAItCLOxOCI0hZB\n", "NDQ05BUu53KaSAhCurEpHZDC/v37xdcMCRcMCQzhGLQ0J1My1w899FBLqW7pobTE2euOYb7gSmdy\n", "RhmfHEIufC9mMSxf4jlz5kxLKZ6AfCvxKeXv0pCEIVLPze1J7I/GgNMa/PSA0hHnyMhI1HKEeAFD\n", "+3FKoC+AC86ePWvdBNSmgpNZP9UwF5d0GsMAYw1lhUxZ57UIcCk45uObxhFqpSNO24PBhjNxKNjY\n", "emABtnpijsgp/rEDwn2QZVlHpgncP2XcSeEzTBEc4ct8sZQCjNb2zDHmA35zenqaPE2lUWRUE6qB\n", "Ik4fpCCcs2fPtt70pjc5f0+qsxWhWPTp06etG8sX2ApNucIWFxfZ5+91NBUF31rJA1MJgcoY4VK0\n", "tm3b1mUexxwU+9dCAxLg5E1ZpsMUFVWv1wsbbsfBJLbHYEpUUbeQQt0pAhhAAiw1cWLoyj8swj33\n", "3OO9uDaDgsTY0AuLpO234bp3331318IrJWMaukHqscceE99DLDE6z/PWwsJCV7IDpXZwc0m1QMQx\n", "zLHXQSn7SU7ZOYA5lZ4477nnnqRlMnQCm5+fb918883OmyIEp06d6rkoS5U9KULlvBBgZqSfljb7\n", "QuyaRxJMTEyUnzhTwGS1pQhEGqnDceVt27Y53WOKRq+62wJXH3eJSaZcObVazZpr2Ww2nSzZrq40\n", "aYADXodarZa0Bwu3hgNDnKbNgxclRgiaC4pguNE38q233tr+m7KKconHLqK6q4vGhPXr17emp6e7\n", "fpuKUQ1pB+FSyNoFtjjhgar4bmpgqus3PmU2XAwoLoHZGNTpEKNzmMlZD3qavrExYdoqFFLECPNk\n", "C6HDKkVIIEFq2NxuFFzSEkNjcEtHnNwD1Wo164m1evXqLn0KEzbetFyDWu4UgfsIbUHogz179vQl\n", "FzIGTCJrDOszXgtg9D6MHJBC7AWXWumI07TRsX6kFJ1OFbOVu6/IShF0jC7VIe4abMHUT3Ffi/Vt\n", "t93WLhdjarJUBBw7dqz9dz/8ozZduHTEqVRcXQ7rYLHQbDa9Eq2lQQgmkdo2L7H1X1zxEBvFQn8H\n", "b1bKZz01NVWKihe33HKL1/ewu6iUxNlrjI6OWiuqc6X7KZhC/4oQ3bJ///6u1zii63c/lNAKGC6w\n", "VdO76667RNeQ+FRLTZwmgrFFbeR53qXT+BpkpISUkuA+//nPiz8bu91AKnBRXibg0wosxS79NEOQ\n", "osJiqYnTBa4b0+ckuOaaa5w+bzqN6vV6z0/QVHV0fvjDH/b0OVJh2bJlrf/7v/8Lvo6L2F9K4ox5\n", "AmCns0txYW6STXmcIRZUYBiUzpXnOWkEA3FPr2fr0ywWMDs726H34moQUr1Zgn52eDOBKyMDmJqa\n", "8rIC48CEEDrJVZ/GHXfcEe1aTz31VPvvP/7xj+Lvvfzyy9b3//a3v5Gv/4/BeI0jR44opZRaWFgg\n", "72fNmjVdrz/77LNKKaXOnTvX8frf//739t9Zljndx7lz59Tvf/97VavVlFJK/fSnP22/NzMz43St\n", "sg28X2zj3//+t3r66aedr3/BBRc4f4ccZRFr9+7dG1QQa3JyUnzS2NwiEpcJuIpMbp+YJ5MLYlWe\n", "8EmlowCnKkT1uEhToUEfIVIH3K+kRUMpxdqYcBGdpHqor/4mrf1TlhItUuDgAmz5ptwR8/PzrQ99\n", "6EPW68VSe0LcQjGaTy0J4gz1ve3YsYPMHYVrYz3ERjg4nMtk+udq0aYkTGBUlIUz5LRIATCYAcM8\n", "cOBAz37bVvlQammG9oQ2LAnitMHFKis9ZdevX+9lzJA6rosQlhfTWIOZ1qlTp9p/Hzp0qOuzV1xx\n", "BVm0GSNWJFgIU48R9F864hwdHY1aFgNvMpd+nr6bMyRUD4IDKDdLlmVk2hlYoHVLNNbBXWN/QVKA\n", "fpcu/UCKBtd1dNH5fQLfsZW/dMTZiwWDJjsSSNsNcuIoVHKP/bsu0IO4cSU9bhNjcdz0WZuU0mg0\n", "nBiXqx9a2hdG1xVT5M0CuACJgSBO00PGCCinTgJK3ElxYgABmsSrGPqniZDwCSENiJAaYmKH+nGW\n", "ePDxuuwHvKeoOcqyrN3RWur7dMGmTZsGgzhTY+3atcZg83q97tWtS4+tBQJM3fHKBiBCSnLggs1T\n", "nOSSewVwDn9fhkARpk20lRqmJOJx6Ykzz/PWHXfcQT5cjD6UVDIudZKlyJQAw0Y/avf0Iwc1FeDE\n", "dDnhsFHJJDmAv9SWrO6Lw4cPl484H330UfJh9ETcmLmbFHwNQhQHj5FEHGJZBMOO63PZHOn4ZPj2\n", "t7+ddC1CQBVrKwpKR5w+D1mv17uSsTn4BJ5v2bLFKTnZ9BtZlkW1SEsQo60dhccff7wvGzs2arVa\n", "6ytf+UrwdVzibZcEcVJoNpsdep++OU3EYTuhpBN/9dVXt5Qy60FUoanUuqikEa8Pw7JJMDZfoLS1\n", "oi/0Z+EkrUsvvVRs8KL2CA4ZlPqpS0mcMR3gRXDoA6Q+NLASDiKw7v6JT3yi6/16vd667777+n6f\n", "HLCq4IKBacfgAp2b5XnecdLpxiMfN4y0DTwEC5hcQIuLi10neer0KUk4mQ9sMaa2kEDfhGtfcPN7\n", "6aWXBoUwgrsHV+LnsGSI0wQcFRSrzs6mTZtan/vc55y/F6r3URsMxDfdJxryrHmet9773ve2///G\n", "N75RvMkl15Zs8n5B6pIZGxvzMvSV+uQ0LZ5uzqb0A5+iW71ArOLLMRCr9cBHP/rRdoRRDLdMqoB/\n", "TOz9CO63EXDpiNN3EnSOXq/XO4od675En3qk0r6SELRgOgUuvfTSLoNF6urxqfRY2+azdf0OqSXr\n", "A25+L7/88qBAC+x2khrWSkmcMTt8YSudXsrDBo7LmgxNIdzZ9kzLly8nNw+0J9AtwNga6iqK7tq1\n", "qzU2Ntb+Hnbul7XtoBRUZUIKeZ4b0wxtwKpN6YjTJCLp4XDUKRYzMMG3ABdFCDFOrRCxD7tp9JKN\n", "vkWlT58+3WYWKWoDx8Lx48eD1zQEtj1ZOuLsxwLaDDVSqyIV3kdtbhD1TBsf3AgpDCO2zRlDzNy3\n", "b5/RV+jagAis6dI6sRgufTipte9V4bFSEydOzAXkeW4lpu3bt3edqjijBOsGnGVOukgxGhWZYHKB\n", "NBqNQlavk8A3ywOL1BIdHZhRiK/bpjf7AtatdMSZZZm1TIQrMAH2wmoaUuQY6uuYNgRljYZIJ33D\n", "Ywbm6sKBeQL9GTOBmGtTREiTEGq1mlcmDO5CVzri1B9mdHTUSFQxXCd6BYHh4WHSNZAi3Ay3Q+91\n", "r0+si+G57uU9SMHNDYjkuD8rF+eMr2kK8AfmpBNsDInlkksuKT9xhsJlIqVGF19R59prrxV9rt99\n", "SWIDW5lvv/329t9UP5lLLrmkdffdd1uvF8tiHDLPMe6h9MRp061sIsiWLVtE1jmdK2/cuJGMgXVp\n", "put6CtZqNTKJN6VOSVW/d83s4WATp10C/bl5gHXGTED/bVuStClXF9ZR/32qKgYmdEme8fDwcPmI\n", "08SRdGuiTws2F07pU/1AKTrW1NRxzAUmw5DpmbCVGW9afaNR8w0ShI25NZvN9vtFTtzGOrKE2bns\n", "Eclnl6wrxTbZx48f7+DO+mdNp1utVrPGsErAnQrUtXCxrRTQn4l6RkmVchfYbAK+zM8XnKvIRUqh\n", "SnriRApKn6dQSuJ09YnZgP2FMa21psUMqQQOljxTRTjKUgrWYZ24sVjnKmavW7euled5+2TAuvig\n", "W2ulSfDNZtMrkQHPXymJk4Kp4JNLaUMX7hgzxSpGcSxsgsfI87wjhhggrXn0rW99q+P/U1NTXfNk\n", "MpTFjLjpRQExCTG5MDKJf5tKrAcMDHHa8MlPfjJYLJQS7gMPPGB8j7MyYsTotVEE6POWqg5sip43\n", "OmK4s1yMagNFnDB5NiU7z/OujY85PD4FbFxNKTk3D6kCKNlI2DoIxiVblE3M6g+hFmMqDBGvB37+\n", "GNZpfG3wTYec8GBYy/OcvD8pk3344Ye77nGgiDM1pFXZfTd/r2u/poLrZn/kkUfaf+OWEpSYuWrV\n", "KjazB2o0+QAz59TlYDjGW2riNHWitpnu169f36WDYf0RExa3yaQRMylzE00WT2rhex1l5AtffR5L\n", "EEDAtsARmI+QeQELdoq5LTVxSrFnz54gUe68886ziqZYnLFZkjEhmUQ0CMo3MYZeJyEDYoXuSd0I\n", "HIAYoMyMS55saCXDEDUFAmNmZmbYzy4J4nSFiTBcmw1Rm8n3fR0pooP0a/pm01ASjc0Sunv37pZS\n", "bqlcNoTEOeNyNzfddFPSKCzOlzsQxGnimjHaGEg4nFJp2jHgQG0KMVwVJr0Hvy6NKZae6rEjhkzB\n", "EXqlBhfip9pwYIyPj7fF79AmVhQDGB0dHQzilDw8tzB6zSAc3paKe1IGh1qt1pqYmDCWw0gVCscl\n", "b8eaA9/WD6b7kZYjxfjABz7g/B2TNdb1fl36ey4J4nTFVVddRb5O6a1ScZQ75Vz9sCnaJ+gSiEsr\n", "d6zHme7NtLmzLGtlWda67bbbkq2pVE/ELqh6vZ60JhKnJpWaOE0mc5uIuWrVqq4wPUwYLn41qViZ\n", "0kXywQ9+0LjhJa8VEb4BI9gKDwYsiZ84ZF6kLRp8UGri5GATZS+55BLRqUcl5YY2z/XZDFRQQQzL\n", "rWnzYuc5/M3lqbo+l83g5BJkb4qJhvsBJmpj2j4WWJCk9Oc+duxY12ex/UMSG57n+WATZxHAnQKc\n", "a4GLUqIxSvQTAAAgAElEQVTA1eDBRB3TPye9Fm44zCUbhHQn93WZSKJ6qBOTY04mBg7B9Hp/lYo4\n", "E4MjLhs3bzQa1g1mOl2kFmalZH5HcHVwkNb9dcn+kagOJqPQNddc471unPV99erV0fR+OIF15lYR\n", "pwOoan++G4pC0XRC31q4lDph0/1gXuv1OqvDSaoKSteJAmZsKQ1USvGuviVPnCnqv37nO99pnTlz\n", "puM1iciXwleaCriauV5RkDrtpT5njjglLd5DIoAw4YeI/DF6uwwMcZpOK+xL7HXDIOkJmurEhOti\n", "vRdHpVBlOnXi0O9NajjJssyprpIN4+PjrcOHD3dteEqH46KabHMdM4kfw2ZIs5VKLTVxmuI9bZbT\n", "4eHhrgnx7RsizYqPFZZGAbcw5DZhWXJEfY1AJ06caP8NQSWpGTLonaYTPySKK4ROctXn8fzzz3f8\n", "P8sypZRSzz33nPE7zWZTzczMdLz25z//uf338uXL239v3brV+vv1el10nxdddJHocz7jySefVM1m\n", "s/1/mIPXvva1XZ+1zUuRxjPPPOP1vW9+85vtv5944gmllFLnzp3r+Eyev7pt5+fnlVJKjYyMeP2e\n", "Ukq97nWvU0op9eKLL5LvNxoN0XUmJyfbf0v3lXX0++QsA7icQFuvlaGhIaseatKJXIppS4LEpfqi\n", "9MTDkg0nqUh0N9OpdfDgQe914/TWnTt3Oqsjps+D+K//ZqnFWoApxCpGBTeqrAY1ySmq43FpUDHE\n", "VNPmxyK7NF1MmrYVsxKDUuZ4VVgnYAYuPVc5dxSuJZyi9MqKFSvKTZyUMs0twIYNG6wt2LGDPtTi\n", "BidOyiRnEzduNBrspima68Z0X6C3SZgE90xYEoHrhkRaScL3XNcfDEilJk7TwtiU8CzLuojOZD7n\n", "DD4SJ3SWZdYTjttMko2DnfDQItB27ym7nrmCq2Qfcq/U3OL1hRM3hEkBsUPwvv6+VEq49957u+6x\n", "1MRJEQcXZD43N9elQ+EJxCevtPemCXDdftQGOu+886IXge4VTMwzhh8Yrz1Y0X1bDiolSwFzJX5w\n", "V5WaOF2gK9tZlnVwUb37sksLetdFgM13ww03kO9v3bqVrDVLbdxYcMkzDAFmVDbmIdVzffRXLpGa\n", "QmioHjCFZcuWicXcJUOcMfDxj39c9DlfMaloBbh8n8PVt/elL32p/XtYBaB+v16vs2lgXAUJGzBT\n", "CLH2SsAZ9EpLnJw+URRwzXL1Lts6jh49yv4Gfu7ly5ezRgrcajDUKOTrZAdjFddwyqchFcD3tPMN\n", "6aSkGjy/tiR0yhZSWuLsJTZu3GjchNKQL6n4xek/EBGUwqhjCzOTMAkONku6q9sLsmlSi+OUjzdG\n", "JUKJejKwxAncz0VHcynTTyXU4ol32TQxmuGa/KyNRqM1OjradUJKAwve9KY3dfwf2qnj79vmAhB6\n", "QhdFKnKpfCDRbW3XG1ji5KA3pNUJxLR5bZtMqutARodLbdrU3awlhbJ8CMxm8bZZX11yUn2gzyc3\n", "v0eOHAmyfuPTdskZhEwbB1tpTRXtUqEo3B6L1DfddFP7b6q+LEek0mfK8zyo+DLGunXrWps3bxaV\n", "AwmJCgstcWmCbR5skl1piZNyQ6Sa3NCNmhpYNLIZQUDUj5nD6ts6QRo95TvHIJX4FOAyVV+0YXJy\n", "kiw4h0NLbaczdbiUljgB73nPe5JseBMOHjwo0rFiYmFhIblYa9rcGJzluUzAyeJK2Y0899xzT8/v\n", "L8uy8hMnB13MMYVZAbAIGBrQDFw/ZhNZKaanp9sEjY1F+CSSnEq62PXJT36yLxu12Wx2iYc+pyq2\n", "hoMID7qvzzqFxtZSYi0UDi89cTabTSOx2cS36elp0WLoE7tt27aONnUAF9eG66ZqNBo9b+dO6aOx\n", "mhABbNJAzHqwMN/Y6a9HjNkCDlyNg5RBD+81iaV8ZGSk3MRpsujZxK+tW7d25R3iujSYoLkNIvV3\n", "pdSFTS4bKh+xqFkoOnwjfPC6w9rYGCFISSGheSBdxZxbuFapiTMVTHmJFCFIF4UjZNfg+BSVxvVr\n", "+hIJVTpleHjYOFdjY2OtLMui5N8qRYfFSaWVG2+8seM5UpZ24QxPFXES0DeljQB9A9F1bu3aRTnF\n", "KQhMCSKF8LNxm/vLX/5y8O+7ZJ24Pv9Xv/pVr3tyXV8Xwx33DANHnFzLgF6C0k17CWousHEopD17\n", "LwGxwLp0QTE0rjkQRTypxX3X4tagnw4EcfrUkJEuiJ60nGUZucCxjSVKvcq19fQ2QIz+o6aTAVeq\n", "B/2VOxWkonZs/7ApcALWGAw0tsr1+j1x2TFZlrUZnc4EYzzfypUrB4M4lVJdNVKBqPDCxaqjGnuD\n", "xbgvm+UZ64CYgKhNp59OuhVaKrYNDw87FRrjcOjQoa7XuCwQ13WkfiMGbPdkyulVakBOztgw1Zml\n", "XDPSzcoZfFyzTFJUqtcNYYcPH/bagFQa3MjIiJGhNRqNVq1Wc0pwt214yvoq9WHi2rdr165NWtKF\n", "M7iVjjhHR0ejVm/Diyxt2OOy2Dok7QRMgI1CbcxGo0GewGAB1QkGB1i4dssGVxRIJZjoqHsosgvH\n", "VQLasWOH+LM+DBS7wEpHnPrDSOquUhgaGvLyb91xxx3BAfSuhD06OhqlF2foPeohb6GwEW3qcMWT\n", "J092/F9vv4fhuse4e5eufymJM6Rnow6sg8XKorAhxIgDTMFUWY+KIoKULZ3jY+nDlRCmp6dbWZa1\n", "fbd4s4VIBmWANL640Wh4MX8s2peSOHuNmZkZI7eT9kuRik+c3vXggw+2lAovOEXBxtFdRH7bxja5\n", "ulwrHUJVBT0ZXAKXSgYU4wqphADSwpKuhIARGk2zf/9+Y2pUvV7vMPaYqs8r1amDmD7HWThT+nFh\n", "41A6vateaoKtjo7PdSABOkXFfRNsLjop05QUDys9cdoIz/beli1bRNxL3zTbtm0jrZE2otThqnPW\n", "6/XWkSNHerb5lKLFN2zJjAHbRo4ZNkcxHT0ayVYjydWwQ3Uzx3tNIiXU6/XyEucjjzzS9UA2pT4F\n", "+pEKRgEvvO0EAn0wpvXU10iUIlEdPxdYPU0tEm3wMb7NzMyQOn+Iy6u0xNlLLC4uGv1dO3bsEG00\n", "nSD0UwMInavmB4sdowKcDjgtKbEWl9OkIJkD20Z1NZQBI4YTMEUigFK0f9pWIVHK+CQ1kkpJnKdO\n", "nYo2+dgvF9PIYtqsIScGcHTT81OpafBMuiU65PQcGhrqMJTgv2Omx/W6+oP02SWf27Bhg9cc44ih\n", "UhKnUnT6FkRcpOKiOlJ2rHYBrgdrcwfByRVTn/Nt1Q6Ex6kGLhscMz54Rh8Jw6cb9rZt20gXnzQN\n", "jqrsV1riBPjGb0LpC9fv3XTTTUbLpWuvFClqtVoSMdYVvawhlDqqqPXKZmrDZgWfnZ3tS5RT6Ymz\n", "X5sAuDSln51//vldFt3Y1lY9TC7G5qFEbriufn0sNei1lihr5Pve9z5r6BvXlgIAjM3GrELmQv9u\n", "CFMMVZMGljilllRMXNINohRf39VUgDhF8IBSrxArpaNBTqkugkvFLWqjz83NdVwPM54i6okxIQ3l\n", "y7KsdfvttztfH8/3wBKnFC7EIuXIO3fu9HKzSJv2pGoD6IKYbiT8PNggQp20p0+fZl1msfqhhjxj\n", "aG9XpSriFGHz5s3GsLo8zztSf2zWWPyeKT6Ycymk1H3g2pSrgNPPe11gG34P7jmk7Z8rbNFI0kgl\n", "ieRSSuKUxrNKgMVPl7IiHJGYNmtI+B0QLhWNZCqQBc+kG85w7qYrYW3btq01NDTUPlnwSdXrQJBe\n", "Q9oFe2RkxCvJAV+/lMQphU0siV1VzXSycL/DEQbodtSzvPnNb/a6JobEFSL1K0vzbHE4nUlHheeV\n", "6LCmTBidkGwM1UciMd0bxYCxe08aNTTQxIknnhI38ILoHN8nkFqqvwLxmApsbdy4sXX69Gnn3w+B\n", "T5ibBDpTwRs3BrH4EJWtT6gJzWbTy/Wm36fLvloSxBkL1IlEEST1OS7lylW0TJF8rQeD+6oPd955\n", "Z9drx48fN0oReZ63xsbGRKckbHLbfIWoPQsLCx3X8QlIkIIz7A0EcZqyJWKkV0lSe5SSi3QugFC4\n", "fgTY+/j3pPcZ293CnZ4g9rok03NutSzL2tIGbqsYC1u2bBkM4gyBSyFjKTZv3uzl7jhz5kzf7tkV\n", "Md05pgp4uLkx4PDhw2yZmFjEH2IZlxqObFjyxOkCaTU630CDoqSgAXw3ORVzbLsW1Pyt1WpsXqyt\n", "cRXg7Nmz3s+MxdjUej/3rBVxJgbXZoGruu5aSzXLMrJDGAbm6jFFTClzqdVqbZ2Zy2JxrZaO4avW\n", "SBInfBiwKWoMJCE9dnnJEufo6Gjr5ptv7tjU+vum75k4t1SUgdxI03WokydFnVrXjeyT7WNzJdme\n", "KXWXcr1Gr6l5FWDPnj1iuwJlrMLzICXs0hIndaKA4t8r8bAImSJKdRKWbQOBkSOmvugb0J8iBhcz\n", "OyAGH8utjyV8fn6erAohvRa1Z0tLnC5417veFaTc53lu5azYQPPZz37W+Dn8Xopk7DLApdaSBLCu\n", "vShrCrAxQG79gDFKjHqlJU6qx4SpkWyRESNWFnNdSbfomC0GXFooYMApzkk5vlIQzKvP9++66y7n\n", "7wwPD5PWZSzCcgSp74XSEmdZwBlnbAs2Pj5u3Vym91xaBkgiVqQVH7hmsACXIHUJ8zLNYUitXS4u\n", "dt++fdHUJzhUdF10SRBnaKD8+Pi41eqKe0LawuBw9ImpwBOnx/YiI5/a7LF+N/b9w/WkPuIY0JPL\n", "MThmDJAYvJYEcSrVrQuMj493EILu0vAR16QbD6yUpt/YuXNnl26W2sjVq14seI5sJ2iqWF+l6CQF\n", "bu1cAj8ogxsYi/I8H/zA914V8QoFZ363cWHTQvtsPoyYOqevAevee+8VPR/n4kgBiThMETNngf7U\n", "pz5Fvg4pd3qQS2mJUwKbriTdVNLPmWIxQ048/NvUfZharLsQDBa1MTDRANfnThdp/mJsN4opthXW\n", "H3Q52+mnPxvHVPM8b1c70OebYzjSOscDR5wc1+M2Bj51Qt0aMTs7uyLLMrLaApY4ymLdBhFXb3NA\n", "BThw9gUcngcEGVLiVKLKSPVQABD9wBEnhY0bNwadYPPz88aNnOd5xwLZdDdcFMy0qJD8bGIM0sJc\n", "sRHSuhDDlBjtaiiC0wkMdS4RVKHBI67EhgGnt0THXxLEaUOKBkGzs7PiVDMMaSJu6lA+CXCEVsws\n", "GcwEqFPw/PPPL0RWDgfffYVF4tITp6/oOTc3Z23Ca7ru+vXrjbGRUl2KI0Lq+r6V1aWQ3LtL6VAJ\n", "bFE9qVUCXZS1ucok2TIYlBELG+Gk7RRLR5zSUhE+NYJcSkj4blRKLI1hINm+fTspusMz6acNDhhw\n", "9QPDNWGOMSOj7qHItWxdpRCXAA+utjGH0hEn3DhVmxQCwHsVkB6rPmoopPr0hz/84ei/HbtQmlL+\n", "gQo45Qp8qB/72Md6sgbbt28nJZ4QV1BpidMF9Xq9dffdd1s/oxO0Ty7gzMyMVczWN52pPs3Y2Fjr\n", "yiuv7Mmm4u4lFHrhtCKcoj6+49HR0XZSeAhcbBGlJk59s8MJwokeOofztURKrXYp6gsBms2mWO82\n", "+TRDkCKc0Lda+rFjx7r+NlmHYz+/SY8MMV6VkjhjipP4hDJlqvvAZOxwOVl1wKljujZlngcJQC+Y\n", "HZLTOTk52UHouNSk3mApBEUr26KUnJHPz897WdVxzG0piRPwwQ9+kNzgtkXdvHlzl6UOb2os3sY6\n", "FULqnXJ4+9vfTr7ej5Z1sSDp+kwBW1Qlzx+SVgZIGUZaauJMhfvuu498nTptYhU/dg0uSHGq6ExE\n", "2lFLqbD2DgDOLhACaZsIrHvneZ5UJbn++uut74fQSa4GdHz9618nX3/xxRe7XpuamhJdc9WqVdb3\n", "n3/+edF1YGzatMnp85KxdevWjv+vXLmy/XeWZdbv/utf/2r/vWzZsq73a7Waajabxu+PjY2p733v\n", "e9JbVUNDQ+LPKqXUL3/5S9Hn9HtfWFhw+h2X8f3vfz/Ztft6clL6IXBHqZMX4MvppX7R1CIm1v9s\n", "Yhb43WLeT0gomwm+UgE++cEP7VO+xMeivLi4SP6W1CA1kG3nd+7caRQJY4gkenoVzkbQX4+9SQE/\n", "/vGPk13bhJiGnX4D7Ai+9Ys4lSOF3rm4uFhu4qR0QM6Su2XLli4uhV0r2FrmegKbFi12USsJ1q9f\n", "z/pqi2o00k8uuM8Y84iZLRgGXVo/6pAwMdd5hmuWljipyJQibjbOZcExAB8Ri5MYYnRdBviKoA88\n", "8EBLKb6Gaz+C/CWBAtRe4+b9Ax/4APk6nOx6rHdpidMEzm3RbDatGx7rDaH5jnCK9yMqZmZmhoz6\n", "wcTkI/b3o+U9ELCu41OMgWMWOMAdGGNISRQJ83CdZyhfM3DE6YrQ05bSNR966KEukVJPFKbgcgql\n", "EJX1ubDp0TjyRf8c1Wjove99rzXmGTYwNwfAMG3rFpJ7ik/yoaEh7743MbBkiFPnXnqhaD1liOth\n", "QkEauQQB2qYCX0eOHImW3CyFT/6pBDapwaYTh1Qn4OBjvJubmwtKqIBnrdfr4t8fOOIMrfwd0+ra\n", "r6oFACplCb/mUj8W0A+9/rLLLmsp1e22oQw53JxTWSIpAw2Uco/vBalo4IgzJaiNSYk91GnBJQ+7\n", "bvoUpSz1k8E31piqmH7mzBmjZJFlWWt8fFxc+Eopu/gbUqcYM68VK1Z0df6KCU6EHyjiBGOFLYcu\n", "z/MufQ0bOfCEcQsjTbMK8RlKNiw+ASGQ32aRjXlShEoalAEPr4fv9U3MDr8u0V85gPjdaDTIe5Uy\n", "iscee6zrHgeCOFM2BZJaWiWbwRUnT560vm96PheLqiRZWupkl9bN8dHnbTAZx0CqAYnAZT+cOnXK\n", "+v6uXbvaxB1qnDOllQ0EcXLYu3dv0ASuWLFCbKCx1SWS1AGCU9Z0uvWqMrtpo4ciVnA7MD1wg7hk\n", "/vg21Y3xfVg/yX4qHXGaTiK9AzIYC7CYGrPEf8yskBgJwbbTEp/+3Emu10byTXdbWFhoP1eMsjGh\n", "/W5MwCqQxN0VG7bCYqUjTu5hddEFc6iYydQSpKiv4wIgWHwfWFyjTnnuhHTJ7I+Vxzo/P9+anp7u\n", "uh4l9tskF6XsTDVm5BSGLUGCup/S65xFDNWjwEWQcN2mfCJyuJDAfnfkzvNc3IU8RB3x3SOSolw+\n", "RrVPf/rT5OtQSeId73hHx+ulJU5Kue/1ppMYGEJPIklaGg7mPnz4MLspqcbDvvCdc2BaZ8+etX7O\n", "xxcL8CVOn3heU21baWWNgUwZ80XsSgImQuXcMRwHvvHGG43vURX6uDItSnWexpwYqJS8Ka5rDHGt\n", "VjPmg7q0kzfpiqmDQEzERkk7eE2k0lDpibNWq3WJA4AYIXCUe4Da/CmiTODUjV1pXYJU+lc/ANKH\n", "i6UbE5CJmECXT1GN/8SJE+UnzhTQT0GbOAKhZRy4igEgEklFsRQlH3UREutenKiH75s6QfM8t4ro\n", "u3btcpJmQnIwbdAJEfeEiQ1urUtPnF/72teSTR6Fubm5pAtGwdR/MiUoAitLw2IJ9FPUZj949NFH\n", "e35/eZ6XnzgxQAxcXFy0PrSuuPsGy0vFmZTdmRuNhphofEtOcpso9jV9e4xg/Rn2QGqVAJjY7Ows\n", "eRJKu4hTzLB0xPmDH/yAfDh9YorqaqGsszHu1fUa+POmUqAcbOF6mGjPnDnT93k3ARfELhpKR5z4\n", "5ikOW6vVrCfJ7t27u3QfrL/g6gecj016aqSoUAcwhZItX748adGxlPA97bDbShJvDUENIaVQUpzM\n", "oPeWmjh7hQ0bNhiDBfI8F/eSxKeVyaDDicApJQK4NpUEzvlje12KRSc+rmh0zHmzGaMkriml+OAT\n", "pSriTA6uDpFNJxkeHvbaVC4GK4kLSHoP0ppLi4uL0Srl2xCi63O+yNtuu835mqa5Bleg3oCrtMRp\n", "y53jRA09qsU0aZxpf/fu3aJFSR3Ti8v6wwKb3Bmm93wRGj9MraOvVRhfS5ImZpoHF3UAROn169eT\n", "0oX0JD19+nTXa6UlzqKA0lcooo5tFDHVHwqBHliOdTiXE4wS8++//36rKOeaMWQTs0MqBGLGXavV\n", "kli4pVgSxNlsNllflb6gPhkVq1evtp5KOtGaxK5Go9Hz5rmpunTrzZD6Wc3OtNbS7+D+n77gkrgx\n", "SkmcUJA49kKlbNUHCAnOf+ihh1pKmcV26jSF39MzVfBJ6GrVhXmixM8UoWxFglTkrtfrXvoyljpK\n", "SZwYp06dMprCYxRA1vXRsbExUo9I6bb4xje+0fNNSBl3itjMVgK4b0xYLno3pQ+mXvu5ubnyE6cE\n", "WZa1rrjiCutn9FPTp+oa1+4e34/tNyYnJ8X9JGMhVfkTXTwvQnCIDzFNTk627rzzzuDfdvGLlo44\n", "77//ftGD+WwCF5HTl1uGiH22ZzKdBHDy69/FzOg973mP1zy9+93vFt1jkTNcXJmwi84cyohKR5yu\n", "k8h1D7bBJvrE1E9jiIv6psH3jn1yrhtGr5T3mc98RvzdmOLeypUru57RZ/Nj0RbUHrhObGOV5Pkp\n", "5gBrV1ripDY0+Nx6JTpJ9BbuM5yBQSIG4bq4x48fZ5+fK7npAl8/J1iHJSUoe7GWGD7BC/V6nfwe\n", "DgG1rQtFpKUlThc89thjQQSbZZk1/hIvwBe/+EXj577whS+0/zZx1SLoZCmRyiIe2obDBTZDI3da\n", "ArOWzMOSIM5+gjMScUnTeslPDnmes5XocWRTTAusS0geJANwccm2Mi0cfIuDSQjHVjXP9X5AnNYP\n", "gIo4E2PTpk3W97nYWh+97fDhw+LPSvx2UqKTWnx7FVsbUvyZ0z99Ir5MYaIPP/xwS6nuYPhSEqce\n", "dRKCVC4EH6LivgPc+rvf/a7zhortizPp0jGNKqak636X9pTAhUFi4IyXUhKnDyhXAt6wuvgY2tXa\n", "BiAyytiRZVlrzZo1XeF0cP/S5kmu4Aw7MXThWq3WQVg4okkXE7n+nPB5H13Th3BcmBulk+I6vdL8\n", "0YEgTtPGWVhYMD44V3jZNNG1Wo08NWI355HcryQnkINJrMVMAKoYctk1rtkuNsOKS3SXKb8SCMoU\n", "woihV2rExGjaX8BAdMZC7Ts8NxIG22g0BoM4Y4MKULeFCPpUOtC5NxBJPwPDQSei9CnOSJKqGp7L\n", "Gtk+75u2R52YtpKr0qqIkvsZCOI0+cpiRKaYCje7bl4fgO8rdeflWJtZKvrF1n85kRsIxiV0DovV\n", "puuDvSJGtoqOXbt2DQZxYugbWRfb6vW6dXPgTRlK3KA39qOWz+rVq9uWYCwi4vlwaUoE4KzPKTAy\n", "MtLK87y1f/9+69rqz0oBx1hDcj4EcaQK+XSdZ7BFDBxxYtgm++qrr+7QA3R9ydX/56Jv6WFjkmtR\n", "jCLmiWqbK2AuMbJ8MI4fP258z0WfjuGrDW2Ai0G1rzhx4kT7b2kd4tISJyWiQFB5r1rvFSWgG/eu\n", "tG3UFFXipZk4vQA+SWF/+LjdfJje5ZdfTu5J6fxQjK+0xJkSuoGnVqsZT5bh4WGvmjx68AGcFL1w\n", "zpsAIj1saCyOc8/4+OOPB/12lmVOJ7POhLj5AEe/K7imRDqkcbkSVWdJEOfY2Ji1CrxS3QYdnyJT\n", "WZZZua7+HnXy5nneqtfrxrC1VC0RUlmJdaK57rrrol7fR0pyKRWCnyNGYTSXyKIlQZyu0AlgZGTE\n", "SHT1et0rMECPKQVXTT8LQcMzUj0zuVMN61S9gD5PnChq83m7/I5SdiOQtIaxhMlWxJkYXBcym2M8\n", "yzJrypTJiIFTyLgNJ+m9KdWbpIEdzWazfaJylkxJrxFTNNEtt9zivW6ckQk/QyjgRNYZQUWcAkxM\n", "TFh9ZDfffHP7b9uC4fcOHDhAfqYfPk0dVKs+brP2u/WDtIZwDNhCBqUShCSmO4ROcrVExvDwsKrX\n", "6+R7WZapv/zlL+3//4+BsCPP6ekz/U4vRpZlSimlRkZGut7j7gu+26uh/96LL77Ys98eHh42vvfP\n", "f/5TdI2hoaFYt0OPop+cNj0ppHmNy/U43YITjUC/oZ7FVCLU5RQzic34vq699lrRvUpPfbjOyMiI\n", "8ZpwUkuexRTI7tKD06VhMsBkRKOqGuB9IE1lWzJiLUU8eEF0K6JPeQypDgIbz2Q1nJubM5bxjx0I\n", "YNrIqYDjUm2MS/qcPmqALfjB9jshOiZ4A2xxuTpKR5zLli1LtkFdWhz4mtV98/yUetU4Qm2SRqNB\n", "umbAZ6kTH/6/K2GCfgfB7vh+KKNQkUuvuEYXuUQu+VTRxwyrdMSpVNxGPDFqkepoNBpevUxwpI8N\n", "JuOUbaPFLgiNDVo4Hjn0dzDjpVxUo6OjpUi29ulCps9l6YizVqtFDc/DhO5i8fO1Tvr625R6VZeh\n", "CKBWq5FpWyCe62Fs2OLoGpi9Z8+ejqJnmKDm5+d7RgD9gDQcMMsyJxEWgN1CpSNOlweNYd6XimSm\n", "3+IMT7aTZnx83Pr7JsOCS7qXnulBgXKtUJD2BY3dDdokakJLeVgbF/Ga89nOzMy05zl0n5kKfw80\n", "cfrCFB9JRc5IwW0M1/C5FHqcfk1fIxE1f7b73bp1a0upeDVqKV1PSkBYXN+1a1dS/+1b3vIW6/sV\n", "cRLQTxPbAvm2ztP1ZteE3RRGMTjRIPIIxxtzv/eud72LvT7nynAp5uz6/G9729u85oSSfCTpdRJw\n", "nx0Y4tTN8vDguCFQbHGKg/R0S2V9BoB4p88BpWvqzEYXu6XMKM9zsTjMYWhoqHXy5Mmu+aTCFEPs\n", "EUePHk0y/zYDlk1HD6GTQkUI/fvf/+74//8IWW3fvr392u9+97ue3lOtVhN9LlV0C/z+/Px8+7Xn\n", "nnuu/TcVpaRHuOifOXz4sOi3X375ZfWb3/xGfK+2kWWZOnfunBofH+94/fnnn+/6LDeXVPQTRBv9\n", "4vC2zBkAAATHSURBVBe/CLhL87BFT/3jH//oei1KlFiRTk5X5HnekXysixgmDmwTRaTV2SEY3nSy\n", "UhEmqXtjShLHffRcm7Ri07N9LJ0usDV+onDo0CG2XKcN+PrSeSytWEs9IIgPtkyLPM+7rJymLA5u\n", "EqXWSZ9en1KY6qBS955iw6dgGj7VDJVSrde85jXtv8EtZpv7GEY1IPKtW7eS15PWP6ZE39KKtZR4\n", "MjY2ppRS6kc/+pHxey+//LL629/+1vHas88+S34WRGPTeOKJJ7jbVEop9ac//Un0OZ/x0ksvqRde\n", "eKHrdere3/CGN0T/fWodQsdTTz3l9T2s2qxYsUIpZX9mbn0l4z//+U/79xqNRtf7UpWFWsOgUQSx\n", "VpLvR2FiYoLNe6Rw7bXXep+0ANcTLM/zqC0ofBG7BpHNEBbS50QCPa7ZVilj1apVThICFe+Lvy+t\n", "ZlFasVZ/YECWZVYn/OzsbFdQOe7JMTMz0/6bE6+kYWTS7Hgf5HlOMgWTmFUGmERB7nnwfjDZBrDu\n", "B37ckAwlKCpnujefmlBA3KUkzpjpXjjkzcXp7tvuLaQGECyayclPhe8B49EZUkgpyM2bN3fEAWOj\n", "D9b7QlFE5iJ1x61cudLL1oBdK6Ukzl7jsssuM1rqLrzwQpHIo280/dQFwwLnG4TAgBQV5kFcp/yf\n", "XJqVxFdr85G6irEg5gPD4qQYX0KnGKGNAUmDELCEZsKSIM5QDjw3N2eMQc3zvONUshEqFqlMRMhx\n", "216UA6GqunPB8b0+5WAe4F9cyT01bBlHUslBouqUljipkwMCoLkwMH0j+W4sU/9I00ZKBexfNSVp\n", "K/Xq6eYbckjBN/4W5oTydeL18A2Hg5PUx9Xj06ZidnaWnIt9+/aJvk/FFZeWOF2hE2C9Xu8Ia9ON\n", "SD6pXdJ0KfDBmfS+vXv3dm3K1EEINqIOga8o26vKDACOCRw4cCDI1oEPDOlalo44pVYxn1qyLs5v\n", "aTSQDsqSHCN5+NixY0arrVLd5n0caG/bLNTJBhID/B6+f+oeimjYAbiWOXHJV+XKonIoHXFyD6Rz\n", "Y50j1ut162bBHM5HvMFI2R2bw+joKGlZxM/k4yPuR+lO8AvrflZK8uAC37GEAJZzH383QFKVQ1rh\n", "AgD2iIEjzqKBMxBw3NXHKsvpOdiyGvNUk5aPGR8fb1di4ES8EFHSl5FIxE6fdvemIA6whN9///0d\n", "r5eaOD/+8Y87L8j8/HyXHoRPS/x3LENOym7V4ATXked53ws9+8I37cv1eXGJTt97TdG7Bu6r1MTZ\n", "a0h9cb6B7tLwuCLrcD7Aetxdd93V/hv0ZYz9+/ez8xQrEMK3Vb1ScXJ0lwRx1ut1tiaMrl/i047T\n", "UzFcChdTOt/Y2FirVqsZS3bESmCm5ijkfSluvfXWKNeBufQJjXzssceCfjuEObq0egyhk+x/xFKN\n", "alSjYKNQlRCqUY1qvDoq4qxGNQo6KuKsRjUKOirirEY1Cjoq4qxGNQo6KuKsRjUKOirirEY1Cjoq\n", "4qxGNQo6KuKsRjUKOirirEY1Cjoq4qxGNQo6KuKsRjUKOirirEY1Cjoq4qxGNQo6KuKsRjUKOiri\n", "rEY1Cjoq4qxGNQo6KuKsRjUKOirirEY1Cjoq4qxGNQo6/h/nnZzGtBPI/gAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "imageplot(Pi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 2__\n", "\n", "Display the regularized transport solution for various values of $\\gamma$.\n", "For a too small value of $\\gamma$, what do you observe ?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAgYAAAJaCAYAAABUc48sAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXl4VdW5P/6uvfeZc3Iyz5NJTE6T0yRNUkiTCElJgJRA\n", "yAUJeRjzAIFcBOQBgVxUQB5AnIeLtrbc1uu31bZPvf3VDtdrW23toK2t1qG1t2rVFmcEkTnkvL8/\n", "0nex9njOyQkeyt3v83ye5Oxh7bXXXsO73pEhIthkk0022WSTTTYBAEiJroBNNtlkk0022XTxkM0Y\n", "2GSTTTbZZJNNnGzGwCabbLLJJpts4mQzBjbZZJNNNtlkEyebMbDJJptssskmmzjZjIFNNtlkk002\n", "2cTJZgxssskmm2yyySZONmNgk0022WSTTTZxshmDfzJijKUxxv6LMXacMfY6Y6zf4tqrGGPPMMZO\n", "M8a+GmtZsTzLJptssikainEOizRHxTXH2WRMSqIrYFPMdAAATgNAFgB8BgB+wBj7AyL+0eDaQwCw\n", "GwBmAIBnHGXF8iybbLLJpmgolnkl0rXxznE2GRCzQyL/8xBjzAcAHwJANSK+8o9j9wPAW4g4bHHf\n", "bgAoQMSBaMsa77Nssskmm8wolnklxmtjnuMu1DteCmRLDBJAjLFSAFhlcclTiPj/GRyvAIBz1Mn/\n", "QX8AgLZIjxxHWeN9lk022XSJ0yc0h8Vy7XjmOJtMyGYMLgAxxpIB4CsAUA8A/4WI1zDGCgGgEBF/\n", "hYivAcB4ONYkADimOfYxAPgj3GckFopU1nifZZNNNv2T00Uyh8Vy7XjmOJtMyDY+vDC0FADWIWI5\n", "APySMdYMAJ9FxF/FWe5xAEjWHAvAWGe3IiNuOlJZ432WTTbZ9M9PF8McFsu145njbDIhW2JwYehe\n", "RBwFAEDE7zLGtgHAE3QyDjHc/wKAwhgrF8RjtQDwYoT6GHHTkcoa77Nsssmmf366GOawWK4dzxxn\n", "kwnZxoefADHGvoiIayaorAdhbBCshDEx3/cB4HOI+CeDa2UAcADADgDIh7GBfI4GfKSyYnmWTTbZ\n", "dOlSAuewSHNUXHOcTcZkqxI+GfrtBJb1rzDmlvMeAPw/AFgjDJIf/oOzJ7oOAE4CwFYAWAwApwBg\n", "ezRlRXneJpts+r9BiZrDIs1B8c5xNhmQLTG4wMQYawSALET8YaLrYpNNNtkUK9lz2P89siUGF56q\n", "AOBnia6ETTbZZNM4yZ7D/o+RLTGwySabbLLJJps42RIDm2yyySabbLKJk80Y2GSTTTbZZJNN5wkR\n", "P3HAmPsIAgAODAxgXl4eiscIJSUlCABYVFSEs2fP5sc3btyIX/ziF/nvDRs2qO677rrrMDc3F2VZ\n", "RofDgQCAmzdvxsWLF/NrGGMoyzKWl5fjl7/8ZdX9kiQhAGBOTg4CAN5zzz38+Jo1a1TXKoqCe/fu\n", "xblz5yJjDDs6OnDz5s0IAOhyufh1gUBA9370nEigd9izZ4+q/uI1brcbJUnCq666yrIMMzDGsKCg\n", "ABVF0R0Xf+/du9eyDKpLUlISP+7xeFTXZWVlqb5vVVWV6vw111yj+i224+LFi/HGG2/kbS/LMm/b\n", "tLQ0VduuWrVKVc61116LAIBTpkzRvaf2W1RUVGAixoaNix/RjFkruFwuvOGGG/hvWZZV51NTUw3v\n", "MStv0aJFls8bHh62nHPKyspUv8WxO5EoLS2NeI3T6bwgzybU1dVd0PIBAJOTky3Pp6enR1WOdu6N\n", "9bvE1ccTObBkWca+vj687777DBtj9+7dhsdDoRDm5uaadia3240HDhxQHevo6MCFCxfqGm/79u3o\n", "9XpVx1pbW1W/aSEDMF5gvV4vSpKEJSUluHHjRpw0aZLumqGhIdVvWZaxq6vL8sP6/X4EAM7QaBdY\n", "EStXrkQAwGnTpqmO00SgZZ7McPXVV2N6errh5AQAWFBQgABgyswRNm3axP/XLvR33303AgDu27fP\n", "8N6mpibVtyRGAGBsEhS/wZo1a/Dmm29GAMAvfelLvG0BQPcd8vLysKSkRDfgAAAXLFig+n3TTTfF\n", "NbBsXLrQ9p3m5mbDflxbWxvVmDPC3Llzo7ou0jiMFWablWg3MUYwGm+xlh/tYmq0ARsPxEVY28ZL\n", "ly41nF/MMGvWLNNzTqcTBwYGEABwcHBwwr5jvBubhAwsl8uFkiRheXk5SpKEDocDs7OzsbW1Fevq\n", "6nDSpEmYnZ2NHo8Hm5qakDGGkiThpEmTsKWlBV0uF8qyjIqiYGNjIzocDvR6vdjS0oIAYztJegZj\n", "jEsHZFnGyZMnYzAY5B3R6/UiYwwdDge63W4MhUJYUlKCU6dORcYYejwelGWZc9WKomB2djavkyRJ\n", "fOdaX1/P34eeJ0kSyrKM2dnZWFJSgm1tbZiRkYFdXV2Ym5uLM2fOxPr6evR6vdjU1IRNTU1YUlKC\n", "wWAQGxsbMTk5GfPz8/k7S5KE2dnZfMCVl5djbW0t5uXl8bp4vV50uVzocDgwFAqhz+fDtLQ0Xq/U\n", "1FQsLi7GxsZG9Hq9vP6SJGFKSgqWl5djS0sLbzd6V5LAMMawrq4Og8EgVldXo6Io/NpgMIiyLGNG\n", "RgZWVFRgRUUFpqenoyRJGAwGsaSkBN1uNwKMLfptbW2oKArOmjUL/X4/trS0oMPh4P0jGAyi3+/n\n", "bU3f1OfzIWMMU1NTMSkpCdvb29HtdmNtbS2GQiFePn3zqqoqdLlcmJ+fr+oX9Jy0tDTs7u5GWZZx\n", "ypQp6HA44hpYNi5dmE3GxEyLGxVxUXS5XJiZmam6R5RciRIvM1hJDkRopXATBVqg8/PzEWBMGkFz\n", "KWNMtaBGwxDEcp0WVlJQrRTmQqGoqAgBgG9uo/mGRhA3Q1popZtmoI0mbZrj6uOJGFgOhwMbGhos\n", "PyQNLpq8jTrPlVdeyf+nxhB3+5mZmZiUlMRF+yIaGhpUg+zAgQOccxPrJIqFaAevKAo2Nzfjjh07\n", "+EDX1q+oqAjT09Nx1qxZ2NHRoTpnJBLKy8szfEcaiFRX6kCpqak4d+5c1TuQaD43NxcXLVrEJQxT\n", "p05FAMBgMIgbN27kiyK94zXXXIMtLS26Drhjxw5samrC7u5u3L9/P951110IALh69Wp+DWMMb7/9\n", "dtywYQPW1NTwumnf45ZbblH9pmvFby8O9Hnz5qnaY8eOHdjW1sZ/5+fnY0pKiukgISnQkiVLdOcY\n", "Y5icnIz9/f24ZMkS1W5F3P0legGycXFiPBO/EaJdELUSTSPs3r075l19YWHhhNYzVlgt3mbP1K4b\n", "AOfnPS3ERbqmpga/+93vIoBeOnHVVVdFZCRE6XU00DItWil0tLD6pmbrIiGuPp6IgZWSksL19mYN\n", "6fP5IjbaV77yFf4/iXXExYIarbu7W3evlvPet2+fSmRNKC8v15VHOvQf/vCHph9mYGAAGWP405/+\n", "VMcIiKoJwuTJkw3LoueTlIAkHIwxzMrKUqkXRBH6/v37+cBfsWIFAoypGyorK7kUgMorLy/nu3gR\n", "y5YtQ7fbjTk5Ofitb30Lly9fjgCAzz//vKpN7rvvPnzhhRcsOfi+vj7Vb6PJTmynjIwMVXt0dnaq\n", "+oRZe2nxwx/+0PRcWVkZ/upXv1JNCrfeeuuEDCwbly7EsRYPaNc9ESBpYSz3kITVCsuWLZuwOsaC\n", "SDZRsUKU1Dz22GOqc0lJSSo7jIsJGzdutDz/xBNPqH6LfSCuPp6IgUWDSlzU0tPTcfPmzRgIBLC6\n", "upqfEzvvihUrdIu8uBvX6vGNUFZWhtu3bzc9T5zh9OnTEeA8M1BdXc2vIcmBFpEWqtmzZ2NmZiYq\n", "isIXuYULF+LOnTsRALCxsRHXr1+PWVlZODg4qFrARc5RNKCx6tQkctcez8nJ4dIDI4aARPZW78IY\n", "w+uuuw4bGxtVx9euXcv/D4VCuGXLFv67pKREZRsidvwrr7wSXS4XXn311fxcQ0ND1JPd/PnzEWCM\n", "gdIyHdnZ2byNjL4RMVCkS6Q6JXoBsnFxwqwPilIwI0Ta+RttGMzmMLNzooH1JwFJklTGj7R7j2Vh\n", "nzx58rieHa+6RJzTCdr5UKv60YJUCTSviBvJWNvR6nws5dK1cfXxRA6s5ORkrkcmHXVycjK63W5k\n", "jGFrayvKsowpKSlYUlKCiqKg0+nEefPmYXNzM7cNIBGzoigoSRI2NzdjXV0d+nw+9Hg8XCdeU1PD\n", "DQU9Hg8qioIdHR1YUVGh0mFPnjwZXS4XVyOQmF1RFG7zQIs26cWDwSC2trZiWVkZZyqoU3k8Huzr\n", "60NJkjA1NRUZY1hYWIi1tbXodDp5pyC7CZfLhYwxrKio4J4OAGOSAJJ0UH2ozt3d3ejz+bjIijpq\n", "SkoKMsb4Ak4Dlt4BYEx64vP5MD8/H0OhEBYXF2N9fT1nLEhkJUkSN6Sh86JagvT+WVlZOGvWLG6P\n", "0NbWhpIkocvlQqfTiQ0NDShJEjY1NaGiKFz/T+/V3t6OTqcTGWOYnZ2NtbW1/H6yU2CModfrxaqq\n", "KmxqakKn08m/b2pqKjdsBRhj5BhjuGDBAiwsLMTi4mLeD6gtysvLudpGURSsra2Na2DZuHQR7QRt\n", "tjguXrxYtRBopQ+xqASi8XYSyzdijMX5BwB0zDtA9MaQRsjIyDB9NiEYDFq2WTzGjyIqKytjvs5s\n", "I2hWp1i9B8ykT+vXr1f9JqPHaBFXH0/kwCLL/G984xuGHZd20loUFhaqdP/ahlUUBQ8ePKg61tDQ\n", "YOgFsHnzZl1n7OzsNP3QRp2B7i8rK8OhoSGsqKjQXaN1c5QkSSde14LekdzurHbPJC2pr6837Lyi\n", "e5QVbrrpJszKyjI1oiH7AfJOMMPWrVtNvyOpgET3SxE0SQCMMVX3338//z179mzVN9i1axdXS33z\n", "m99U9QftdwgEAqqyrQah7ZVgwwzavkPGrlqYLSjRwEiXboSJFrlfCESj8ot0jZkdgRZGUoDxQDQg\n", "JTUugWy2zDy3tCAvLCNkZGRwKbjWvToWaNclv9+PcfXxRAystrY2nQtHa2urauGbN28eAuh1/GIH\n", "Eo0F165di5IkqT4o7XS1ri6MMZ2NwaxZs3Djxo0qo0cAwP7+fl3n7erqQqfTiZ2dnaZcIy1gM2bM\n", "0IkQReM98mJYt24dVlVV8fKo01FcgpkzZyLA2O6+tLSU7+b7+/v5PdR+a9euxauvvppLLq6//noE\n", "AFy+fDlmZWVhXV0dhkIhlCQJW1tbMTc319AVMjc3F91uN3o8HmxpaeFc9JQpUxBgTDRaWVmJ06dP\n", "57v2QCCgahNiqrQ+zFRXmtgkScKZM2fyRT0pKUnFtWvruH79elVfMJtYent7EUBvs0LtN2PGDJW6\n", "auHChbxuiV6AbFyciGaijsYGQZyX4nFtJGjVegAXJi5AcXGx7piZ6x7NFWYwGrehUEhlpf+f//mf\n", "qrniUkB7e3tU18VqyyJeH1cfT+TAkiQJCwsL+e5UFNEzxrC4uBgZY1hTU4MzZ87kx3t7e7Grq4sv\n", "/GvXruXnvF4vLlu2DLOysrCyshJLSkrQ4XBgdXU1d48EGFuo0tLSsLy8HKdOnYput5svCIFAABlj\n", "XIc1Z84czmAMDg4iYwwDgQDKsoyhUAgXL16MCxYswNTUVMzOzuYfnVwei4uLOYNDrn0ul4u74dG7\n", "a0XzpAYhjrWvr4+L+VJTUzElJYXfX1BQwF0cGWP8XchtklQK4mREz8nLy8NgMIgzZ85Ev9/P6+Zw\n", "OLCyshJ9Ph8qioIejwcXLlzIVShUBon9aSFvb2/HoqIiXj65nmqNJgsLC5ExhgMDA6p2aG1t5fpW\n", "h8OBgUAAPR4PFhQUYFFREba2tiJjDMvKyjApKYm7j5JbJKmkenp6+G+AMT9hp9OJXV1dWFpaqqoT\n", "qZbod05OTlwDy8ali/EsBFq3RHHB1nrsaGORxAtxY6L1vAIYYyhEQ0gaLxPNVES76x8vjOyltIhG\n", "ohBNOVbfa6K8OLT1IKlmtAxSXH08EQNrzZo1OjHMnXfeySMNMsZw165dCKAOzCMu3gDAF2eAMYlD\n", "tLodo+sURcHU1FQuaqbniBEXCfv374/4gcgoRRyUtPiJEgOPx4PFxcXY2tqKmzdv5uoDCsbU09OD\n", "AGq3uzvuuIP/v3PnTp2eccqUKZiWlsbvpQFJf++55x687bbbMDk5GXfs2BFVm4mGkPTera2tuGPH\n", "Dm7vAHBe0kOIFMSJJiSPx4Pbt29X9QszVQM9W/xt5t9N7U/iP6PBJ3oiZGRkcEYs0QuQjYsTRlJC\n", "mq8IJB7+pPzpY0EkS/dIMDOiFOdD7eIo/hbVJNGK40VMnz6dGzyO536j+WcioJWkfBJRFgH0Hl+E\n", "ePp4QgYWcaK0i6ZdZE9PD9bX12N7ezvf/YkLQFdXF86ePZt3MsYYtwdwOBx8IQQwNwxpb29XlSnu\n", "VCVJwra2NkxLS+PGNtTZRVEfGdNYdQztwHC73VhfX4/Tpk1Dv9+P7e3t3Je+s7MTHQ4HNjc34+zZ\n", "s/nOPxgMctdIcdCJnbmwsBCnTZumGqwUIEhRFKypqUFFUXjIZICxHUtJSQl2dXXpVAgul4tLH6w6\n", "Y0lJCTY1NelEoCTOdLlc2NDQgI2NjXzRbmhoUAWXkiSJMxJLlixBn8+n+obBYBDLysoMGTA6Rszi\n", "vHnzeBAs0vnSN2htbeVGo0YR1MrKytDr9WJPTw+XSDHG4hpYNi5dmI0J2gyYbRjS0tJ0i4e4K4zG\n", "8jySlw6NrYlQTRhBy+hs3bpVJVkYz0Ibq5slYaKiHMYDmifJm83KY8QKVhuoWONdUJ3i6uOJHFhX\n", "XnklyrKsGixNTU2cC9R2MtLHi4u+uFMUG1D7gShqH4md6biRBe7dd9+t24FaBdMh7Nmzh0co1J5r\n", "bW1Fh8PBP1p7ezt+5Stf0V0riuTJxU5rGGfUccgWQlse2RlowxKbdbg9e/bgPffcY+kCCXBeamKG\n", "GTNm8DYj6Udubi6P6qj9vlRv0VsCYGziofgJAPpJ5I477uBeI3V1dVheXo5z5sxRXUtGiIwxfOSR\n", "Rwzr+9BDD3GJCmMMMzIy4hpYNi5dRDvZJwpiILBYECnGvxaR3MOJYZgIqYlVOHgReXl5WFxcHJHZ\n", "iDbEcryI9O5GdiFWEIP6iRClnoS4+ngiBxYtaOIOXlysaIJPTk5WGaJt27ZN1Sm1sQ16enqwra2N\n", "69cBxrwCRP0aSQjmzZunM4QkN0MyWCPRP2NMp09SFAUXLFiAoVAIA4EA9vb28kVYNGTUirIlSYro\n", "I0v308ImugxpF3Vy6dPmRKDrIiUwYYxhWloaFhQUoNPp5ANR+xwSQxrFRyCGzeVyqYyHtP7dZJBE\n", "300bgU3MsyDLsurbL168mPcXWZYxNzeXP4v+kp2AlrmhuA0lJSW6AaudKLq6uuIaWDYuXRiNL7Mx\n", "ZXR8aGjIMseB0X1ZWVmGIvxoFl2tVX2kMsTxN5GIZucbrVHeeBFJtTkR72NkxxHL9yKQ4TQhUpwM\n", "LeLp4wlNu4yI0NzcDKdPn1YdI/rggw8AACAcDgNjjB9njEFZWRn/PTo6qirX7XbD0aNHYXR0FMLh\n", "MAAA1NbWwuWXX656TjgchnfffReqq6tV9x85ckRVbnFxseoekUZHR8Hn80E4HIaPP/4YSktLISUl\n", "BQAARkZG+H1/+ctfVPeFw2H+HDM6e/YsAAAcOnQIAAACgYCq/iK98cYbEA6HIS8vT3Wcrnv33Xct\n", "n4WIcPr0aTh8+DCcPXsWTp06Zfgcv98PAAAnT57UlUFtMzIyAn/961/58b///e+q6w4fPgwA59v5\n", "xIkTqvPZ2dn8/9HRUXjvvff475qaGrjsssv4844cOQJvv/02AJzvL9S5xX5F1585c0bVL4iOHTum\n", "+q3tUzbZZERFRUWm57Rjh+jBBx+EysrKmO4bGhqCnJwc3fHR0VFwOp2WdczMzLQ8L44FSZLg6aef\n", "trz+QlJSUtIFLf/FF1+csLLMvq92PhMpKysr6vJ/8IMfqH7/8Y9/jPreuClRHDdxW9HEy+7q6uIi\n", "cYAxsX5OTg4XF4kSh5qaGm7cMjAwgPPnz8fc3Fx0Op0q8dLSpUuxqakJJUnC0tJSTE9P11nhkiSB\n", "RN5Tp07lHG1rayu63W4cGhrCUCjEd7+SJHHjxu3bt6MkSdjf3z8hlqo1NTVcatDa2qoLaTo4OMh1\n", "lqKeUxTTG8Xsnj59Og4ODqqMIgHGdimrVq3C2tpa9Pl8WFRUpGp3QnJyMjocDn7/9u3bde+rtUgO\n", "hUL8GjFaIsCYrmzGjBmqY2VlZTh//nyeqElUnxihsbER/X6/qq4kmejp6cG+vj6e8Mmoz9k2BjbM\n", "EO84jhb5+fmm88Z4Y+9rYZUhkNycJ9JAz8pA3Go8R8L8+fMNvSi0WVOtQNLQSKpbLYzUFkY2blpD\n", "yXi8PqKRPMTVxxMxsKizi6Ixj8eD11xzDaampmJjYyN/cdEgZ+PGjbrUyaIVfDQisGAwiF/84hdN\n", "z5MRiWgEB6AeiOP1p12/fj23caB3X7RoEQ8+VFRUhNu2bcPCwkJuTGdUjmiToSgKTztsBKMgK0lJ\n", "SZiTk4M7duww7GDaeBFGYIzhNddco1vwxcHd2tqqUvlUV1frbD/WrVuHAMAjQ4ohlKPRFRIoFGxh\n", "YaFO5JqXl6cKtawF6VbtkMg2ooFZP4qUAjknJ8cygl+koGEEq/nrQlrCm0VNFOfGSEbLRjBKchcN\n", "zDyNokU0XmyRFmBSqVLbjNclM9JzYnGhJPf/uPp4IgbWli1bdIEv1q5dq1pwKZ+ByNFqO6aYCW/T\n", "pk2mgy6akKOU9lm7qGzbtk13LdkQWA1k0g8Z6YVE1yYK9btp0yYeAhrg/OJ/7bXX6upBejLGGG7e\n", "vNlQRzh16lS+wBEztXDhQpRlGVesWIFz585FWZZxy5Ytpp1SDJ+ckZHBOydZX6elpWF7eztmZ2dz\n", "I05tm5B+04w7JiNPSZJw+/btKumGGIFSyyBomUAzRoba38jYiAw9RVfQjo4O/t6JXoBsXJwwWlC0\n", "E7c2o2okjGdBjQZG3gmR7I0iYd++fVHXn2yezPJAGBkVUlk0N4hSPO1YjzX88IVELFEXJzItttnc\n", "F08fT4iNwdGjR+GZZ55RHaupqeH6F8YY13u1tbXxa9xuNzgcDv7797//PciyDAAAjz32mKl+Sqsv\n", "Jj25SO+99x787ne/g4qKCgAAUBQFAACeeuop3bVpaWkAAPDWW2+ZvuMvfvELAAD405/+xI9JkqQ7\n", "5na7obCwEB577DG44ooreN26u7sBAODJJ58EAIDXXnuN37Ny5UoAAEBEAFDbHgCMtcVvfvMb/pwf\n", "//jHAADw05/+FEZHR2H69OnQ09MDycnJ4Pf7TfXpoo3E4cOHuc6ebAaam5vhC1/4Arz33nvwzjvv\n", "AADAF77wBVUZnZ2dAHDeXkJLpDd1u90QDoe5fQYiwty5c/l1586dU9336KOPqn6b6VmpDZqbm3Xn\n", "EBFeffVV+OxnP8uPPfXUUxF1sjb936bjx4/rji1cuFD1+9lnnwUA4PNTJHr55Zfjr5gB/eEPf9Ad\n", "83q9cZU5PDysO/byyy+r3pX+v/POOwEAVHZCt956K//faF6gtjhz5gwAnJ/n6O/atWt5HejYeIns\n", "x4hojh4PvfHGG6rf7e3tptdOpL2AOH9NFCWEMfj5z38Oo6Ojqo70xBNPQEVFBTgcDvD7/bxziJ24\n", "sLBQZYDDGIP09HQAGDMeKy0tjfjspKQkyM3N1R1XFAUURYH8/HwAOL9g/e1vfwMAAI/Hw6/9/e9/\n", "DwD6TiQaSBoZ5yUnJ4PX64W3334bXC4XAACUlpbCZZddBseOHQO32w2lpaXgcDhgZGQEJEnihnrP\n", "PfccL+d73/se//+jjz7SGUAdO3YMFEWBP/7xj6AoCm/nM2fOAGMMHnroIXjmmWeguLgYfvCDH6jq\n", "Te+hndAkSeLXMcZAkiTw+Xxw+PBhkGWZnxMNmcRvxxjTMXYAAJ/61KcAAKC8vByefPJJlYHoa6+9\n", "ZjpQtZNzYWEhAAC4XC7O1NFzPR6PpVETMV3JyckwOjpqaRhmk01G9NBDD6nGERmz7ty58xOtRzQL\n", "2yuvvDKhz6T3/rd/+zd+TDQO15LIWIyHSTlw4AA88sgjAGBt6BeJXC4XLF26VHWsoKBA9TuSMaTY\n", "3to5STSijpd8Pp/pudTUVNVv7Xw+LkqEKA7+IeqgwDSiW5ko5hdT5Ypqhra2NpULmzbQRWpqqi61\n", "8qxZswyNW7Zu3apLGKQ17BHtHIxEV5mZmeh0OjEYDOLAwIDKUJJAIjV6P4fDYSpuJNEQ1YuifJkl\n", "NgI4n4CDXDwJJJq3cqERn7t48WLMysoydXGi4EFG8dJFiDp9yvdAIPUIfV+tKkM0PPT5fCpjoL6+\n", "PpWr5IIFC3g5ZPRIagdR5QIwJuozclWkZ4oiuS1btsQlirNx6ULbd8zE5Fp7qFhglETJSAUaT9ZD\n", "q7lHi2jiuJghGiM7mlfNnm8WVE6LaOMdRIKoGtHabdD8pLVDM4O4VmnfT1EUXLlypeFz4kFJSQnG\n", "1ccTObCoQQhVVVU4NDSEe/fu5cfEwdDX16eznCfLWYDoYozv3LlTF7ZXREFBASqKost09fOf/zxi\n", "2ZEMRL7zne9wffbkyZNRlmWcNm0aZzwo8uLDDz+MbrebGzNZhReN9N5icCAtjHyGGWOYm5sbMdSo\n", "3+/n+RfE4+LAfOSRR1SM1Ne//nV87LHHVNeTMSLVRWtTEikACD2fvunevXt1lsgbN27kzKPZe8my\n", "zO1CSP+X6AXIxsWJSPMAhXY3gnZxj1VHHm0QIu1z/va3v8X0HCNEm7LYKIz8PyO+9rWvqX6vXLnS\n", "0vBzImBkLD7elNNx9fFEDCxZlnUconYXR4l5ZFnGoqIilcsMZfwj97P8/Hxe3qRJk3jgoBkzZmBD\n", "QwM2NDSgLMuqBh4YGOBJfHw+H3Z1demMR4qLi9HlcnGDxMrKSiwoKECHw4HTpk3DYDCI3d3dqlCn\n", "lFTI7XbjokWLMDU1FYeGhlQLqFGgEq1rHV3v8/n4LjgtLY0nMQoGg9jT06MKRNTf34/UtpWVlTpD\n", "Rr/fj4OkHBPvAAAgAElEQVSDgyhJkios8fDwMG7cuFG3CDc2NuKGDRtw6tSpWFtbi7Nnz0afz6ea\n", "+GRZxpaWFszLy8NVq1YhY4zXUSxLG4SqpqaGez9QYCIx4+KyZctU32vmzJk4MDDAEzj5/X5Ll63C\n", "wkJ0uVwqS3GaVEtKSnDy5MnY2tqK2dnZqnannZHtrmjDDJ/k4mQGKzfDWGDlfUTjYnBwcMLqLe78\n", "tQteNEyPkRFxY2MjfvWrXzW83igioBkoYuR4F2IRRhF1P6ncCYS4+ngiB5a4Y6WognPnzlVZnIuL\n", "6ODgoM7HdOvWrfz/aPxgr7rqKkuxekNDAzocDp342yqhj1FdjXDjjTfyne2kSZNQURRV5Ee3240L\n", "FizAdevWYWZmpqnEQJuspK+vz3SAk9hLPE+MhpGPL+WtiBQyNDk5GcvKynSho0WmYdeuXaqohlu2\n", "bNG5JtG7a5NGAQBXz1jVgwYxSZ9WrlypCwm7ZMkSboltNPlQhEz6NqTiSfQCZOPiRKR5wCy6Hnk+\n", "icdEqWk0Ivfy8vKo3KW1jMNERPyrq6uznIsAxpiJSPOg0fgbT33Gm2MhWmjXk7q6OtN5keoy3ng1\n", "pLo1arvxusfH1ccTNbBi4cpcLpdhgxsNpP/6r//i/0+aNAmDwSA++OCDuuuWLVumchkJBoO6RU6r\n", "rxIH9d13341FRUWcCzSqX1lZGbrdbl0An3hATFN3dzfee++9qnOibYPYNmKiKFH1Qli7di329/fr\n", "3vf222/H/v5+fPjhh7GmpgZXrFiBAKAL5RwMBrGoqIiL4o3sD7QZ3cRvYtTxKZ4E4ZZbbtGVYZUo\n", "ZvLkyaYDTZIkrK6uxh/96Ec60Z3YLxO9ANm4ODFRY9kI2n4PYLxLjndXG0sMgPEuTEYQGfPxBDQy\n", "y6JqBGqjhx56aMK/U6TwxEbJsibatfJb3/qW5fm4+ngiBhY1kNi5a2trcc2aNehwODAjI4PvPJct\n", "W8av6ejo4MZvBFE/H40hTiAQUJWpBQULop0qDQrR8G+8QSwoW6LP51NFbbzuuutQkiTs6+vDBQsW\n", "oMvlwrvuukv1fNF+QZR4FBQU6CQgxIE7HA5Dbry5uRl7e3uxv78/Yhx1K3z5y1/GpUuXqo4dOHCA\n", "/5+eno4HDx7kv/1+v475oABIra2tmJGRwQMVAYxFpzTjwLUTIzECbrdb985ut9tSN0gMHxk1kn1J\n", "ohcgGxcnzPpRPJHsJgrjTaAUD0Q1rxitNtr7x8vkxBtN1igeAxl6E2666SbLMrRM00REuDWC1pje\n", "CrS2xNXHEzmwKEDPmjVrDF+Q1AayLKs4zRUrVqh01tp0pcFgUGekuHHjRpXagXD11VfrmA0K4EMd\n", "VrSS1yb8ARhjalJSUjAtLQ23bNliKCHQJsSQJCkig0HcMYkFrYJikFpGu6umjiomNbLqUPX19eh2\n", "u03FgfQeVvpAxpjKO0LrpUHiU/q+WqNNioZI31703tiyZYuKGw+FQnznQUwKvbM2+9vs2bMxKSnJ\n", "8N20QV82btwY18CycelC7CeZmZmmu1izMRcIBCIuINrx1djYaLjxicbgOhakp6cb6sIv1IKnRTxh\n", "kaNBtEyI1fuSlNHMZsDK9slINUr9R8tkxLNpKy8vx7j6eKIHVjQwCnMrfmRxh3jTTTfx40uXLsXe\n", "3l7dogwwJpKn44wxTE9P13Ua7WKxcuVKzo3t27cPfT4fN7QzcpPp6upCSZImLFuZJEnc1W/Dhg06\n", "LlJksMwGgJG0pK+vD9etW6djVNrb23H9+vW4a9cuTEtL48aJ2p1RamoqejwevqAbuWFqB8vtt9/O\n", "/zdyRdKmie7p6eHRH+l7W00i9J5GEpPk5GScP38+bt261VJPmegFyMbFiYkYy2YgyZfVGKaxGc9z\n", "aAMRzYJvpbKLFaTKNPI40rqdG8GsvmaZavPy8nQbRzMYbfrMECnKodEmrq+vb0L7SiRbjrj6eKIH\n", "1rp160x9VMmys7CwUGWUNjQ0hA888IDqt3jfjh07MC0tDSVJ4gvDtddeqxN7S5KE+fn5+N///d+G\n", "zyf/ZHJbYYzp3BglScL9+/fzHfL06dO5D7+46MQS61oLmiBuueUW0wGiKAoyxnRGk9oyrJCdnR3x\n", "OiMdqBYOh0O1i9JywjQB0PfV5k/QMlJiOw4MDPBvL0mSKu+EqMMzSrJE5Yqhp80Qrx+wjUsX4x3H\n", "Yt802qwQjFQSVgysmUU+QZuQTAutdGIirPKNEMkFmtrmQjyb8EmEUI40t2jnu2gRa9vE1ccTMbB6\n", "e3t1H2jv3r2cs5NlmU/itEMGGFtQxJ25z+fjg6iurs6Ua9R2eiNGRJZl9Pv9XGxPCzntdMWPQnWy\n", "6gBUF+0CqV2wUlJSMBQKYV1dHe7cuZOLj0gVQjuDmTNn8ntEF5zh4WGd33RdXR0mJyfz7Ivk3UDX\n", "7du3D2+77TbMzs42VeMYtZvWtbS7uxv37dvHrfoB1PYPlFnSqmOTaC0lJQVXr16t0lda6fe0Yjyz\n", "AClkuGoWjMThcHC7EkmSuLdFvAPLxqULo36kFfNTH4pmMfykoc3KGivM5j1xXrUyEhRVLNFICbQo\n", "Ly/H6667zrIu0UJrC6FlwGJZjLXvrN1EXiiYJYiLp48nJCRydXW17lhxcTEcOXIEAMZyGyQnJwMA\n", "8GMAAKdOneLxs+k6iucvSZJhDHMthcNhw3DF4XAYRkZG4KOPPgKA8zG8KXfBPyYEADif31w8piUK\n", "yytec+7cOUBEVcjekydPwtGjR0GSJDh69Ch8/PHHqudTaGIxpncoFOL/j4yM6N5blmUYGRnh4T21\n", "8cgnTZoEmZmZcPz4cWhoaDB9B5GESZH/PXHiBCAihMNhHgpZzGkQDodVzzZqrw8//JC3Q1lZGQ8l\n", "C6AOQx2JKI+D9hnhcBgQ0bRvICK43W7VtWKfs8kmLRnlPygpKVH9pnnkYuxL8YQRBtDnniH64IMP\n", "+P/iPK2lgYEB/r843qOlAwcOwF/+8hcAOB8KfbxEuWiItDlZrOZ4LVEOHaLHHnts/BWLgb773e9O\n", "fKGJ4Lhp1y9yZ+Xl5bh+/Xp0u91YUFDAuc8rr7ySX9PT06Mz6CH9l3Z3aoasrCzLgB1kqUohSYkj\n", "FQNWREqvaoaGhgZumU/cZVdXF/dKmDNnDi5btgx9Ph/u2rVLFd5XFC+KkcVycnJ0qhQSBSqKYiiW\n", "DIVC2NHRgStWrDDc0USTdhkA8LbbbtOJREVVQ15enkr9kZ6ernMPJAPEGTNmYCAQUPl19/T0mIo1\n", "tcdJsuL3+3WqC7/fb5maur6+HgHO7+7IeDTRO1MbFyfM+lG0YXvNEO3u10qtoFWXfhIQ52Qae7Fk\n", "DxxvGONYXBeNoDXU1r4LQGRjSG2Y+okKyayFdo63Aklh4unjCZEYSJIEkiTxnTdjDBARXn/9dSgo\n", "KIDs7GxISkoCSZK4RABgjLv0eDw8SYSiKPy31+vl3Dkl+TGigoIC+P3vf8/LIO5fURRwuVzwP//z\n", "PxAIBHiWP9q10l9KBkTvIRIlZ6IkRIwxDrfbDR9//DFUVlZCamoqfPrTnwafzwdutxueeuopnkzk\n", "nXfegdTUVPjJT34CRUVF4Pf7wefzqZIP/fnPf+b/5+TkwAsvvABer5c/y+v18mRCeXl54PP5wOVy\n", "gcPhAMYYfPTRR/DBBx/A66+/zt+D2sPpdEJGRgaXUIiJk0Tk5eXBww8/DEeOHFG966OPPgqMMXC5\n", "XJCUlAQPP/wwuFwuYIxBamoqBAIB3m6SJMGhQ4eAMQbJycngcDjg7bff5mW9++67kJ2dDYqi8GNE\n", "lFSE3tPtdoMkSZCXl8cTYVE/Ky4uhu9///v8OUZ90eVyQU1NDciyzOtkk02xkDYBD4A6SZDH49El\n", "wxH7GfXbSKTd1Yr04IMPAgDw+etC06JFi+CFF14AgLGxSEntYskWaZZ5NRKZZVSNlu68807dHP6b\n", "3/xG9fuhhx6yLIMyKA4NDQHA+CUYkRK33XfffRHLoHepr68fVx1UZcVdwjjo5MmTEA6H+aKMiPD2\n", "22/zRSA3NxcOHToE4XBYlaI4GAxCSUkJce1w7tw5uPzyywFxTFR82WWX8fLELH8ipaWlweTJk3kZ\n", "JBY7d+4cnDlzBvLz8+H48eN8kJMImtIxIyIcOnQIAED3DMqEiIgwOjqq4sBOnz4NTU1NADC2+H/4\n", "4Ydw6tQpyMzMhIKCAjh+/Di89NJLUFpaChkZGRAOh+HIkSNw9OhROHnypEr9QWJKgLEBWFtbCydP\n", "nuTPOn78OJw5cwZOnz4NkiTBiRMn4MyZMzAyMgKICB9++CG89dZbUFFRAceOHeMidICxQXrixAl4\n", "//33+bvQXxEffvghpKWlweuvv656V1mWARHhzJkzUFZWBj6fD86cOQOICAUFBZCTk8PbLRwOQ3Jy\n", "MiAipKSkwJEjR6CoqIiXdejQIThz5gxXwVBdAEClcjl37hwUFhZCOBwGv9/PryMVh9vt5sdJ5UAU\n", "Dofh1VdfhbNnz8LIyAiMjo5CZmam6lk22RQN0VwhLjbiuG1qatIt/uICXlVVFdVzjBgQIppTjVLL\n", "x0tGm61nn32Wb5rOnDkDn/70pwFAPzdaEd0TK0WrBjUjo3VC+zvSPPCLX/wCAAB+9KMfAQBARkbG\n", "uOoSCAQsz0fTnnTNm2++Oa46qOhiEsWZYcOGDThlyhT+m/IR0G/R+K69vZ0b/m3fvh337NljGDls\n", "8eLFeOONN3JxkJEYj+IekMjqhhtu4D703d3dyBjD4eFhTE1NVbkZkRhejFIY6zsbISMjA+fPn48A\n", "YwaQzc3NqvPacNFGqKioMDw2f/58XeyH5ORkXLBgAU6ePBklScKkpCRDMSYZJpLhoZF7ptbISFSH\n", "aDNCMsZ07o1ZWVn8OoozsWvXLtP33L17t6HnBsCY+mb37t0RxZ2JFlnbuDgR67gdr5X/8PCwqfdC\n", "ZmZmxNwCWpWamAWSxoZVVFZy35tILwUy6jbK1hhP8iWHw2FYz1iCThUUFCCAdRKseKBdY6zaPpIX\n", "GyXjs0JcfTwRA4saSAzgkJaWhmvWrMHS0lJsa2vjUehEnc/AwIAulakYiyAaK9CmpibLXAkDAwMo\n", "yzLPI0CdTayH2YCMpPOaNWsWhkIhdDgcWFJSgpIk4YoVK3jyoYaGBhwcHMSKigrs6upCv9+Psizz\n", "ZFJUjhhvICUlhd9Px+h/xhjv7CLS09OxtLQUBwcHdXWmmAyR3Hoor4M2NOisWbP4/83NzSpr7YaG\n", "Bl2AD2JGVqxYgS6XS8WcVFVVmVoti+8IcD5uQSgU0tmAhEIh/j2NwrsWFBSo/KrJUyPRC5CNixNm\n", "Y8IqsA3AmB2V1qZH7I/Rhik2ysAnzqNWc9REo6qqSuV+F0uoZcJ43ffEzdh4YLTJiZTJVguaM8ij\n", "rrOzc1x1iRRrIZa8ELSJjqePJ0SVQOKz9957jx+rqamB48ePw+uvvw6//e1vITs7GwAAGhsb+TUv\n", "vPAC/PrXv1aVRb9lWeaWqlb03HPPcUt4IwoGgzA6Ogq//OUvAQC4bv/555/n1xQVFRneK1riGumo\n", "n3vuOXj55ZfB5/PBG2+8AeFwGH77299CIBAAWZahvr4eXn/9dXj11Vdh8eLF8PHHH4OiKICIKl3l\n", "ihUr+P8ZGRnwwQcf0IQFAOfFiW63W6Uvp79TpkyBGTNmwKFDh3RiSUSEU6dORfTwOH36NMyePRum\n", "TZumOr548WL+/x/+8AdYunQp//3iiy/CK6+8orr+1KlTAADw9NNPQ3Z2Nrz11lv83KxZs1RqE5FE\n", "NRTdDzCmWnn77bdV17788svQ3d0NAKCyWSH6zGc+A4jIv/HRo0fNXtsmm0yJxMpm9Morr+i8FMT+\n", "+LOf/Syq55AazYhcLhcAjM/afzz0xz/+Ef72t7/x3/QOw8PDpveIXlkAAK+++mrMz2WM8TE/Xtq0\n", "aZNOPbJv3z7V7+9973uWZTzzzDMAAHxeEz0RzOzcjEg7L2rpX//1X6Mu6+c//3nU15pSIjnu1tZW\n", "9Hq9PIqUJEmqDFba3aiiKLpcA16vVxcBkcoR7/V6vej3+zEnJ0clcgqFQjqu8MYbb1RFlVIUhe9c\n", "jThIKm/Pnj2YkpLCpR0iFi5ciE6nk4uvOzo6cM+ePTy9NF1HaaYBzocGpoh/Vhb6FNhIu9MnSYeR\n", "Ba5ReZs2bcLNmzcbho8GOC+a27lzpyXXunjxYt5mJMnJzs7GvLw8zumHQiFeBypXlmVV+/X396ui\n", "NWrfb9u2bdjV1YUulwtbWlqwtLSU71ro+cSNu1wuVVwMETt27FDl3SgtLY2L47Zx6cKq318MiBTf\n", "3wyxRlMUQ5cbgSz0jdSXZteaIdr8NEVFRejz+QxVFSIipUAW58Z4gtMBWHubxOK9AQCGawuAcSTG\n", "uPp4ogZWLC5/ZguiyDjQwiK6Iubn52NKSgp+5zvf0d3b1tamWmS2bt2q6yxi4B4AddjN/v5+HBoa\n", "Msy7TR8wMzMT6+rqeDpfq/cx04XR84l5ID1cQUGBbrEnMb3T6cSamhp+D6lskpOTuV2FiB07dmBn\n", "Z6dOXPXd734XOzo6cNu2bbhz5068//77EQB06Zq3bduGg4ODfMHXuvAAgCpSJQCo2sSoPbQRHB94\n", "4AHVPU6n0zKgFYlsjcS7jDFMS0vDW265RRdrXgywlOgFyMbFiVgm8lgRzViI9j4rxBK4ZyKjEYpl\n", "RROQTguj8WymNqGESCkpKagoiipBm4ho3ESHh4djqqeWMTl48OCER5SMlOExrj6eiIHV3t6uM1Cr\n", "qqpSdRra9VlxfuLujxZJUWdH5YlGN2adoaenB6+//nrdIFi+fLnu3kmTJqGiKLho0SLTQbNhwwZk\n", "jOH69et1i742ZjZjDDdt2qQykqR7SN9NBoyKonB/abfbrRoo1PE2btyIO3fu5Pr9vXv38s6dmpqK\n", "paWlnKGZNGkSpqenG+reCwsLUVEUdLlc2N3dzRkPMQ9Beno69vb24oIFC1CWZcP87AB6PaKW4RG/\n", "OcDYDkL0C8/NzVWVvXnz5qgGD/ULo8Hv9XpxaGhIlRNjeHiY1ynRC5CNixMA8fvQA6hjDkQbz98K\n", "Rjt+q5TJVgs+zSVGi67RAmeUHAjAeJMQCWVlZaosh7Qox5LLwAoXKuRzLNAm7jNDpH6hlaCK82xc\n", "fTwRA6uxsVEnQl+3bh02NTWhJEnodrt5x9izZw+/prCwULV4ulwu3nFLSkqiElk5nU5DYxdJktDj\n", "8XDjOerQ2vTLAGOGcpE6GH0wcRdOKpBp06bxe0tKSrC9vR1LSkpw7969GAwGUZIkvvARVygmMhEZ\n", "ojVr1ugGZUlJCXo8HiwvL+e7Y4DzovWrrroKd+3ahcFgMOr0qOK3orovW7YM9+7dqwqXLIbndDqd\n", "qpDLiqLo2oyYgZKSEuzq6lJxweK310IrWiQJFBlris9UFMXU4FSWZZ7Yxel0otvt5uqXRC9ANi5O\n", "GPUjbXAjYuzjTXZ0IXCh8gWInmNWC5+YHXU8qapdLpcuPfJ44HQ68YYbbrCcV6wMPSMhmrwy0cJK\n", "nWHmzRFXH0/0wKqvrzfVL9GiP2PGDJVr2oIFC1SNfscdd/D/GWN47733osfjwUAgwAdsR0eHSlXg\n", "dDoxEAhgSkoKfuMb3zB8Pu3GSfzu9Xr5s2iBS0tLw3vvvZd3sKKiIh6Xn3blZhEIowU968tf/jJn\n", "NNxut842wefzmU5EWit+7Tmn04mdnZ2681oGzmqnTp23oKBAxUhpd+tUdxp02uhis2fPVjEQYiTH\n", "mpoa/r1SU1NVrqtiG3u9Xl26Z5IebNy40dCFVUQgEIhrYNm4dDGeMaxdjLXSMPGcUXZSKxjZD4kQ\n", "1WNkvyRi5syZ48pZECusvME+KcQzD08UxGi+sYDm0Wg9FOLq44kaWGZGFARxMUpOTjYU3dEukXaF\n", "1PmoAadMmYJVVVWG4SRXrVrFBwljDOfNm6fjFlNSUnSGivSclStX4uTJk7G1tRUlSdLVz+FwYEtL\n", "C2ZmZupSCBtJGsxEfqLIXZIk/i719fV4zTXXqNqJXDcVRcGioiJ+jvTtbrfbcBd+880344YNG3Qq\n", "l9WrV+O6detw3bp12NnZyScgrXirq6sLq6ur+cA3ciPSMhQUjwHAWNyoTSm9detW/nxJktDhcPCw\n", "1UYgqZA4EVJ7eDwerKmpwQ0bNugmSlF0mugFyMbFifFM6tHCaG4wYuaN3JBjQSyheycyXbAo3dSm\n", "c47GlsFIUjBlyhRTVUZlZSU3JLdSqwBYSwdiVR1pYxT4fL6opbPRIpJRZFx9PJEDizGG27Ztw29+\n", "85uGLybGtxcHzKRJk1SLuLaBvF4vHjx4UNehjHa7u3bt0unRtJ1M1G0ZcZx+vx8lScL09HQ8cOCA\n", "IcevNXyhuAVWH5aeRWlTrZgpYgq0hoGEaPJI0HVer9d04iCmIJKfNKlbtP8DAN5zzz0IoJb0iBAz\n", "SSqKovKQ2L59u+p7z507l0uP7rvvPt62AGMGpmK5xcXFmJ6ebjgBiWJQgDFjoUQvQDYuToj9RJZl\n", "U+NAbZ+KBUabGaO5J1pr/Wghxpa5mBCtAeREGUqK641W4klzqVXqbBGiNMboG5JnwnglCUYYGhrC\n", "uPp4IgeWuADLsowLFy7EyZMn4/Lly/kHFkVuV199tS66n6jTjiaFcF9fn6XobdasWSjLsm5gir/N\n", "bAsiiamuv/56rlOvrKzkAY5o90yph7u7u7GiosLU8FJkEEQpghG0XDnA2GLr9XpxzZo1hgMpKSkp\n", "qgBHTU1NOhGk+E3XrFmjUt/09/frBhP9HhgYUEVPBADuXmpVD6o/tUFXV5fOBaizs5NLMYw4f1KX\n", "kBqGgmglegGycXHCrC/S+DdLtdzb26vr/2JAsGhc1xwOR1SGilrr/YlI7iPaBhCys7NVC+d4jCjH\n", "y9xMhMGmFbSbH7OorwDnjeTHm0hLm7wpHlA/jKuPX0wDywx33nmnyoJX6+suLkahUIh3mM2bN+Pe\n", "vXvR5/PpFsCuri5uO1BWVma42B84cAABzouYtm3bxnf5tNBcc801WFRUZOh+R54X2tDF40V5eTnf\n", "Ba9bt04n2aDF1aoMI/fK3NxcnDZtmi7EsMvlws7OTm7E6HK5DMVX9Eya9LZs2aK7RnvfpEmT+P9a\n", "hk6SJJ1frt/v53nkKdoY5WQ3wrXXXqv7pjQ5Dg0N4Q033BDRZTbRC5CNixOxjlszMXckdHV1merl\n", "JUmK6KuvZQ6MmH0xMqkWEy2NEGEk1o83FLGR/cR46hRrJMbxSimspLhWag9JklSxXcwQVx9PxMAa\n", "HBzEJ554wrIT0gJs1UCidb5VwJ1o9EPl5eWGKUvJYl0ELVqiyFuLp59+GgEAv/rVr+rOGeVOuP76\n", "61USB1rUaCcsuncSJ8sYM+zEO3fuxMHBQR7ohKQsDz74IEqShMXFxSrDTjMJCDFfpPage0Spjdvt\n", "xpqaGh672yykaCSbEqqLeJ8YZEr7Da2YArM+YjTAdu7cqTJEfPDBBydkYNm4dAEwFuMjmv5nBVGn\n", "faGM/8QxFAso/bw2j4kZzFSLNLfE4iKYkpKiMiqme6NVh0bCRMZlmIhvb4VIklvtvCpK0OPp4wkJ\n", "ifzmm2/C1VdfrTr2uc99jqfEZYzxTISf//zn+TUOh0MVTvPJJ5/kYSffeOMNcLvdPFQulQOgDk3J\n", "GAOn06kLy+l2u+Ho0aOQlpYGAOdD7v7v//6vrv6f+9znQJZl+Otf/2qannfDhg3AGIP9+/fz9KCU\n", "OlhMselyuSAQCMChQ4dg5syZPFPZ5ZdfblgPRVGgpqaG/79gwQJdGug33ngD3n77bR6e88SJEwAA\n", "cP/994PX64Wqqiq44oorwO12g8PhAL/fr0rrLLaVw+EAWZbh8OHDPNwqhQnNy8uDtrY2OHv2LDzx\n", "xBMgyzKUlZWp2oTSkNK9RFTX1NRU3v6pqak89LPT6YQrrriCX+9wOFR1pPTM4nkj+v73vw8Axilt\n", "ZVmGhx56CL7whS/w9/33f/93XWpmm2zS0ty5c1W/tfNJa2trxDLE0MbadMzjIaO5iLLHipSTkxOx\n", "LAppbBQS+Etf+pLumFma576+PgAwzw44efJk3TGPxwOMMZ6OmVI5U0rpeOkfzN2Ek9kcZEQU8j8S\n", "RQpNf+LECdXcescdd0RdB0tKFMcNMLbbrKur43poxhi63W6uyyF3s5SUFC7OliQJBwYG+G5dkiT+\n", "P2MMGWM4bdo0nDx5Mno8Hi7Cnjp1Kra0tHAJhNPpREVRcPbs2VhbW6viImtra1GWZc4Fz5w5EyVJ\n", "QlmWuY0AcbFerxc7OzsxFAphbW0t1tTUcCMS0jU6HA7s6+vjCYroXFVVlY6TZozx9yc3I1IfTJ06\n", "lZ+TZZnfyxjDrq4udLvdOstXeh5JYER9IL0zBTHKy8vD6upqzM7OVoURFl0dSf9uFDOC2jotLQ1n\n", "zZrF69fW1sYTQcmyjM3NzVynzxjjsRvoGXPnzuX1DAQCWFdXh4wxdDgc2NjYyEWzbrcbg8EgTpky\n", "BSVJwsbGRnQ4HOj1elGWZR6KmaQNK1aswOzsbCwtLdW5e5aWlvLdFWMMm5qa4uK4bVy60PZ7M5hJ\n", "O4eHhy3deaP1TACILlmSKIk0Kkf7fCO7JKMgcdFCHNtm19AYvVAxFgjRqnXFnbhZZEQzKUgsUX2t\n", "2kXrQRZNkkARcfXxRA+saPxKf/KTn+CPf/xj/js1NVVl0S8a33k8Hu4q0tLSgr29vcgYQ5/PpxqM\n", "ubm5XCe+Y8cOw+eSuJAMQ1paWrhomkRBU6dOxWXLluHXv/513llEMT2AdfTGWLB+/Xru2ldbW6vT\n", "2weDwYiiQyMDGofDgVlZWXj33XfrzmVnZ6u+kZXBD+n4jAJuaDu/OAGI3icAY5Od9j0YY5iSkoIO\n", "h4OL+7VxCkSIGToJpHZ59NFHcfbs2RH9gRO9ANm4OBHruD148CA+8sgjEzIHGMFsgdKGYre6lux2\n", "LhooCZ0AACAASURBVCQutAg/XhuD8SJWV8Z46ymuhVaIq48nYmA9/vjjeNttt6leQuviR253Vgud\n", "qOPXLi6xdsikpCRD90EjV0oKYGTlS/zkk08igN5NEcDYe+LGG29ULZbExJCNg2iTIS7OohEf4ZZb\n", "bsHm5mZ85ZVXEOC8nvCuu+5CgDGjJrLpuPPOO03fQZxEUlNTOedMEh5JkjAtLQ0DgQCvk3axFRNb\n", "RfoG2khhRvnjza41A3kamD2/ra1NJf2ghFXxDiwbly6WL18eUxrcaGDmyRAvyPYnVlglGTKaT80k\n", "F7R5+drXvhb1s2nzg4iq40Z2ShdDwCJCpDgJkd5lIiB+m3j6eEIGVlFREaakpHBOizGGra2tGAqF\n", "0OfzYVpaGnZ2dqIkSdjf34+SJKEkSVhYWIj5+flcjF5UVISZmZmoKArW1tZieXk5OhwOHhbX6XSi\n", "LMtcbMwYw9TUVMzJyeGeChTOt7S0FGtqajAYDKLT6cSCggKUJIm7FVIWR0VRsL29nSfxcblcXERO\n", "H5tiGni9XgwEApicnIxOpxP9fj9/t4yMDFQUBYPBIAaDQayrq8OlS5dieXk5ut1ubGxsRJ/Ph01N\n", "TehwOLCkpARlWUav14u1tbU8hPPAwAAWFRWhw+FAj8eDjDGsra3FUCiEeXl56PV6sampCWVZxsLC\n", "QkxLS8NQKIRtbW1YWlqK5eXlmJOTg4FAAB0OBw/W5Pf70ePx8OBS6enpmJ6ezlUsXq8XQ6EQdnd3\n", "Y15eHndxbGhoQI/Hg4qiYFJSEg8KlZqaij6fj38L+ob19fU862QoFOJqBb/fj52dneh2u/lvYpwY\n", "Y1hfX8/rK0kSlpSUIGMMk5KS0Ov1cpVMVlYWBgIBrKmp4YGwZFnm6pOUlBScO3cuSpKEubm5mJ2d\n", "zRNQJXoBsnFxwmhC1oqbaVe4cuXKhC9YWkSjfrCCkdSQMaaSvNICFWnhPnz4cMTnGYnyY1mErRCv\n", "54XVptPKwHAipSdGiaUAAOPp4wkxPjx8+LAq5z0iwgcffABXXHEFMMYgOTkZXnzxRQiHwyBJEoTD\n", "YQiHw/CZz3wGLrvsMhgdHYVwOAxvvvkmFBYWwrlz5+Cll16CxsZGGBkZgdHRUUBEOHv2LIyOjsLp\n", "06f5C3u9Xmhvb4cTJ04AIkI4HAZEhNdeew2ef/55mDt3Lpw9exYKCgogHA7DX//6VwiHw5Camgrh\n", "cBjOnTsHr732Gpw9exbef/99OHPmDIyOjsLo6CicPHkSAMYMbQ4fPgwnT56Ejz76CI4dOwZnz57l\n", "hnlPPfUUnDp1Cs6dOwcVFRXQ1dUFL774Ipw6dQqamprA6XRCW1sbnD59Gp599lkYGRmBd955hz8j\n", "JycHwuEwnDp1Ch5//HH4/Oc/DyMjI3Dq1ClARHjppZfgxRdfhPfffx8QEZ5++mkYHR2Fv//97/Dh\n", "hx8CwJixVGtrKxw5cgTeeecd+Oijj2BkZATC4TCMjIzAyZMn4dSpU3Ds2DE4c+YMHD58GA4fPgyj\n", "o6Nw7NgxOH36NPT09IDb7Ya33noLjh8/DsePH4dp06bxd0tNTYXZs2fDuXPn4MiRI5CUlARutxsQ\n", "kX/D5uZm3jZvvfUWfO5zn4NwOAwff/wx+Hw+OHfuHP9NhjiICM8//zyvbzgchoqKCkBEcDqd/Jue\n", "O3cO3nvvPZBlmdeDvtW5c+fgzJkzcPToUXjnnXd4Oe+++y60tLTQAmCTTVHR6Oioyqj4zTffBACA\n", "gwcP8mOiEbQRkRFxJBINrLXU09MT8f5jx45F9RwzeuWVV/j/jDGYOnUqICLs2rWLG1FSW5ABoRml\n", "p6dHNLw0MqAcGRmBpKSkWKuuotmzZ8Mbb7yhOlZfX6/63dLSYlnGpz71KQA4b/hJhpIAauNSLcU6\n", "v/T29pqe+8UvfqH6XVpaGlPZhpRIjjs3NxfLysqws7OTc1GZmZlc/EQ2AGR4RgaAtbW1qjwEpMMn\n", "LiwlJUWn5y4vL8fq6mq+m6TjV155pc7gZfXq1agoCr8uJyeHc6hGXGBaWhq6XC5cvnw53/mK9QEY\n", "C+lLkgSqz4oVK3TcMNlDAJxPMEQhlc1cmiiCJIA+eQn5BhsFQdJyrbIs48DAAE6dOtU0MQdlIhRD\n", "GhuVu2nTJt5mGzZsQIAxsaLH4+G6z56eHv5txdDPYgyD6upqVYbLyspKlW3F8uXLcfny5SjLMvb2\n", "9qLf7+cqHoo1Qf2jvLwcOzo6DMXA/f39XIRJhpGJ3pnauDhh1u+1+CSy+Bn15crKynGVZSXeNlJZ\n", "mqWc10KbqMgIkfI90BoRCdHGQoiUalmc37SRW6MxphRh5YqakZGhW7/GAyMJSjx9PCESA6J33nkH\n", "/uVf/gVWrlwJMPYm8P7778Pp06cBYMwtkI7TDnN0dBQcDgd3ATx37hy//h+DFs6ePatzJ2psbITp\n", "06fDyZMn+XUAAKFQSOfm8+STT8K5c+f4dYqiwMjICAAAf5ZIIyMjMDIyAt///vdhzZo1kJmZqaoP\n", "AMBbb73FJQkAAK+++ir84Q9/0HHDiMjdC5966ikAAHjxxRf5uxoRIsJf/vIXAADVrgUA4N133wUA\n", "Y7cXsX4AY5z5yMgIPPPMM/CTn/zE8FlE5AppVp9jx47xNiNJyunTp+HUqVPQ0dEBAADt7e2AiFzK\n", "Q/eKroV//vOfITc3l/+eO3euqt7Hjx+Hyy+/HEZHR2HWrFnw8ccfw6FDhwDgvIskSafOnj0Lzz33\n", "nOEO5J133uHSFESERYsWWb6/TTYBjEkBrrrqKsNzzc3N4y537dq1umNG7nBGbrh//vOfx/XMEydO\n", "qHa8Iv3mN7/RHXv77bejKvf666+PeM3tt99ueT7SfERE810kMpoDRHr44Yf5//fff7/q3OLFiwEA\n", "YM6cOVE9S3Rl1X7DDz74AEpKSgAA4ppzaK4lGhgYGHdZAAAJ4bhJ7yTuvgsKCvCqq67CzMxMrKur\n", "48Y4ovtdf3+/KoQogNq4LJrsXcFgULUD1WL9+vXIGOOGjcRZitHLMjMzx8WFTpkyBYuKitDj8WBG\n", "RgYyxnDRokW4fv16lCQJOzo6cOXKlZiTk4NLly5Fl8vFdwQiR1hfX6/ikLVuLMTRyrLMMxCK54uK\n", "irC+vh5XrVpl6B4UTTZIRVFwaGhIl49A/AbV1dWqupWVlakyvQGMRXCkb5uUlISrV6/m51pbW00T\n", "hWh3Y8ThFxYW6jj0oqIiLjGxyiVPulPyakn0ztTGxQmzMREpSQ7lVDE7T9K4SLAKb0w7+08qiE9y\n", "crLKcFx0JY62DDEXTSwwcpmOBUZuhVpj90j2GOQZRdIWowRy8X5TANDNm1Yg6UpcfTyRA4vc48S8\n", "CPv37+eiGzIOFDud1tBCjJYnGpKYDcB169apvAm0A8jn82FNTY1uwYsmD4NV7nW3243t7e04PDyM\n", "AGNhg4PBIFZVVfGFjDGGRUVFuH//fpRlmS+SZoyI2MHNxFW33HILAoBhmmEjr4qsrCwcHByMmFFt\n", "zpw5upTMAOdFmx6PBwcHB7kRIr3z7t27VWoDEt+T+kAcrIwx3LVrl6Vvc35+PjocDqyrq0NZlnHX\n", "rl38nQnXXXcdZ3TM3quyspIzKZmZmbbxoQ1TUJ8h7yTtPDHeaIPRIJYFwmhcxgta+K3GJM2DE/HM\n", "8aRqnigVjlY8X1JSolPVRkKsWTDnzZunm6Os3LJFaJmLuPp4IgcWYwyHh4d1MfoJFPaW4vTT8d7e\n", "XlXSCe3CmZubqwuZu3btWr4oixgeHtZxrOTvToue6ONr5FZUVFSEbrcbMzIycPfu3YYuitpwnhTY\n", "x+pD0zuTrYFV4AzarWhtCegdoulcpFv3eDymkxsxZpFCuIrvq/Wnpu9ArphaSYso0VEURTVQtm/f\n", "rmJyWlpa+A6fcjTQO2vbnJI+GenjtAN+z549cQ0sG5cuxH6SkpJiatlu5ioYzW5e6y5InjXa66LN\n", "8BctiouLDcfHJyWBGG8SoomGOCdpGQ2aK4xC6APopSViWUYxDCijpdZmIx4GZ/78+RhXH0/kwHrg\n", "gQcQ4LxLi6IoeP311/NFX9tBjbLtiRm/RI7JLOjE9OnTVee0XK0kSbhkyRIdZx5NClWrLIfp6emY\n", "n5/PJ4sNGzbgkiVLMDk5WdVx3G43j3d96623IoC1TzG1n5kYksoQ1Q9WbdTa2ooPPPCAIRMl4tpr\n", "r7WcLLKzszkTQRPn3LlzcXBwkH8nh8PB259Edto6ffvb37YUsU6fPh1TUlIwLS0NfT4frlixQheo\n", "SczW+Y1vfMOwnIGBAZ7DgowhE70A2bg4QX1Ga5QGcOHiEcSC8S7i0SxEVDa5eRtdQ/OZNhHaeBBN\n", "xkkttm3bFjHo0HjjCMTatr/+9a9j/gZaqbj4XbTxfqwQVx9PxMCihUEbUW/9+vXo9XqxuLiYc45i\n", "jure3l5do1FQIkmScNGiRREbKzc319K3mKQXxJzQwiWKhMx27pE6TWNjI6akpKDX6+WL4+zZs3F4\n", "eBglScI5c+bg8uXLMTk5mR8TQzhTOWJgp7y8PJVeXuxIiqIY6vqqqqqwvb0dV6xYYTiRaVU4Zu+6\n", "Z88enThVTFpUWFioskjOysrSRYEkj4Xu7m4MBAIqm4Tu7u6ow5GK4bO1k0JKSoplQCRimqjPXXXV\n", "VXEPLBuXLsz6kVFa4ljmh2iD9Vj58I83oFE8mDZtGv+f5rVYUiJHm1BIi3jDJxtJdrVSmUgLsVba\n", "fKGSYcWSQIokD3H18UQOLJ/Px3MMAIxN9mLo4o6ODmSMYSAQwJKSEu6uuGjRIq7HkmVZZYBIwZIm\n", "TZqkypXQ1NSEkydP5rH/KTDRrFmzsKqqigdAYoxhY2MjKorCO2x7ezsPYkSpf2lh8vl8OHXqVKyq\n", "qsJJkyZhVVUVXyxp0XU6ndjf388D8ACMLZK1tbUqt0hakOn9aadNxiRNTU26XAlU5zlz5qDH49G5\n", "9dDzyCjJKFeCw+FAt9uNubm5GAqFsKCggHP7Yk4BxhgXXYqidzov5kqYM2cOf9a0adO4W6KiKNjU\n", "1ISMMWxra0NJkjAYDPL3kiQJu7q6+O/09HSsr6/n99fV1fFJx+12Y3V1NU6ZMgVlWcbGxkYenEmW\n", "Za6SoMlq8eLFmJ+fj8XFxbpcCeXl5fx7S5KEkyZNimtg2bh0Ee0EbbZrXbdunaWoOpZdaTSi90i6\n", "fu3zjYz64gmZLOYgMbuGxOlmRngTpcowUscYQdwImqlVzTYtsapDzMrRqtgpT020iKuPJ2pg0Ye2\n", "suSna+bMmaPaJQcCAczOzub30mINMJZDgHaAK1euxIULF2JOTg6PgkjXLV26FFtbW3nUw9TUVB0n\n", "Tgs8SQja29s5E9La2ooulwvXrl2LoVCI+/2LcQhI3L5w4cIJ6dg1NTU8f3pbW5suIcjq1av5ZCRO\n", "BuLAN0oiMm3aNFy1apVOFZKZmYkrV67E2tpa9Hq9WFBQoGp3gt/vR0VRcHBwkL+39hla3RpFFwQ4\n", "v0MneDwenU1ESUkJzps3D2VZ5uJFq91RU1MT+nw+VV1JPdTb24v9/f1YWVlpGEeC/iZ6AbJxcSLe\n", "cRwtaDNkdE6c8+IB2S8ZgZL40KI9EbDa5Vt5i0XCjBkzDKWjkTxFRJCtEsWNiRZGjJfRfK+VJkTy\n", "RLBCNJEf4+njCYtjQLEDrPxJ/zEI4ZlnnlFFd/roo4/gvffe4/6hoo/t5z//eXj++ecBYCzC1/vv\n", "vw9Tp07lURCJsrOzeayC119/HbKzs3U+ps8++ywAnPfXdblc8Ktf/QoAxmIspKamwrvvvgt/+tOf\n", "4PHHH+d1PnHiBDDG4PnnnweHwwFlZWX8XeKhl156CYLBIACMpTmdOnWq6jwiwpkzZwBA7S9LEdcY\n", "Y4ZpTmtqaiAtLQ0effRR1fGmpiZIT0+Hzs5OyMnJgdraWnj33Xd1kcqysrIgOTmZH//d736ne0ZD\n", "Q4Pq95QpU3ibiD7DAACnTp2Cz372s7rrKyoqYHR0lKegFqNnasnpdOpSkr711lsAAPD444/Dhx9+\n", "CDNnzjRNBz0R38smm2IlMfrhG2+8YZqu2CzeQLRUXFwMAAA/+9nPTK/Zvn07AAB0d3fH9SyRFi5c\n", "yP8PhUKqc9/5znci3m8U7dDhcMBHH31kGGPmxIkT4Pf7o6obzeE333xzxGvFKJZG8WUolbtIFK+H\n", "6NSpU1HVy4hGRkZiSvMcMyWS4x4eHuaqAoAx6cGSJUt45C6tD6nH48GUlBQVNyaKbUQdHbnBEUhM\n", "X1dXp+LwtPot8pTQuvdFozPbtWsXz9OgPRcMBjEQCHDJx4oVK3B4eJjnYBDfgVwwyXCQpARmUBSF\n", "G0dqn01csJFrlRHX2d/fj//xH/+hS/mphVXSKoAxiQC1GUkpGhoacOrUqTw5kmh4SVIWh8Oheoe7\n", "7rpLtTvS7qBWrFiBpaWlmJSUhLm5udjZ2cmjqNG1ovTBzPhw+/bt3H6FclIkemdq4+IE9RmjHeon\n", "Zb1vhVhd5AixZP1jjEWMfCi6ko8Xsbo8Msbw3nvvjZgDQbSLuJCIFLHRSGJuFQPCTJphZCsWVx9P\n", "xMC69dZbdRO01mqeJnOrRhJ9XPfv3x9T42uRnZ1tKHY6cOCA7hgtwkZ5ywm//OUvEWBswdGeMxKB\n", "79u3T6XLojpv3boVAQDvuecefk70zDCqw0033YS9vb348MMPq9rpq1/9Kk9AROLB1atXm05mIqNV\n", "UlLC1RRkvc8YQ7/fj4WFhapFVSyDFudoRF9aK2/RUFFbbiTGRdvWZu+4ZMkSlQHRHXfcMSEDy8al\n", "i6SkpHEHshEh9slY/eOjRSyidBEHDx5EgOiZH7MwzLTxiiUYEbUFGdzR87TB7f6ZEW3yplgZTdGD\n", "K54+npCBRRUXd8KSJGFLSwsuXboUh4aGeIOIepne3l6d76jIHEQzCIaGhiwDEQWDQUxPT9cF1hA9\n", "Gcz0flYfW5Zl7O/v53r4vr4+DAQCOH/+fO6O6Pf7ccaMGbh8+XLMyMjgk49WFyUu2JIk8WyPRs8l\n", "gxXREEqSJHQ6nYbcrMvlwpqamogukpWVlVhYWKgzzCFpgKIouGrVKlWeidWrV+PAwICqs5P3B3mf\n", "aC2c29raLHcNHo+HZ+FkjOGqVat0eRwGBwf54m/0jRwOByYlJfEgVsTkJHoBsnFxwmrS9vv9uHnz\n", "ZsO+6na7deNKNOqLZnccKacAQTu2J8JangyFaT4D0NsMUCbaeJ8ljk2zcxdaOqOVvFD2X6Nr6fh4\n", "60T2T9XV1bpNULSGnxR/hxBXH0/EwMrJydGJtrWiEBJraa3HRYhiFVpQxPgDXq8XHQ6HLoohwJhB\n", "objA33zzzXjjjTeqnsUYU1mxUifNycnBvLw8rgowqltrayt6vV6eSlk8Z2QZ29HRYSgxIDE8tUdB\n", "QQG6XC50Op0YDAZVCx3tsNvb23H37t38HE1UPT092NHRwVMTA4xZ/c+aNcvQ0GnWrFlYXFyM5eXl\n", "uGXLFu5KSO6RjDH0eDy4e/duHBwcxJycHJ4OmsqgMrWuQaKqhq4RRZOhUEhVDtWRfmvjUWhB7Ucx\n", "IbR9yOl0YigUwqGhIZVkQqxnohcgGxcnxjPxGyEWn/RIOHjwIH7729+O6R4riad2HH3SuOuuu/j/\n", "0YaKtkJOTg5fvLWbqKGhoYjvOVGRI2NFpCB4WnW7OIfH1ccTObBE+wCHw4Fr167FoqIi7OrqMlws\n", "tm3bpvPZpx04AOCmTZsiNnRra6uq02lBlvnLli1THV+wYAH/36wTReIWd+/ezZkEsoEYGBjgi1dm\n", "ZiZu2bIF6+rqsLm52ZRbFu0nJEmy9NE3sih2uVyYnJyM27dvN6yzoigRB4okSdjX16eLOilaOc+f\n", "P5+rHQDGGBYxYiW9P8CYlwhjTLUjysjIiNpyl/pFTU2Nzl2oqqqKR180kvbQM2gQ/v/svXl0HNWV\n", "P35r626pW6193zpSx+rIPZIiKZIiCdkab2jkTcerjsHL8QIa2WB/bWM4BozxCSZeAMNMws4EzgQI\n", "ZCEkhGTIQmCSDOEkEwgJSxaWOKzGGBtjy7Lu7w/lPr969aq6Wt12a/xTnfM5UldX1/LqvXfvu8vn\n", "kuUg1QJoAuMTdn1Q5OgQ0d3dbTmGXwy4dSfcd999tt9RX45F8DMWyPzYXq/XNN7GktYoZiW5BZ+p\n", "NhYkw+LAk/MBuHcRxNt34gFZcRLq46kaWNSQdi+H319fX2/SnHw+H/r9ftYAVVVVTJB1dnYyq8Gy\n", "Zctw1qxZGI1GWd4/3xkpZS4rKwuj0aglYLGhoYH50QFGzd4k2Ht7e7GgoABXrVqFhYWFpkHt8XhQ\n", "VVW8/PLL0ev14uWXX256HplwckPkU1RUxARpW1sb9vX1mc5Lmq+maaaORpqyrutSUo+BgQG86qqr\n", "LAOttrYWt23bht3d3VhWVobt7e0YCAQs5sOqqioMBoNMqFPNAR5iehXvoxVdQIZhWFKXOjs7WTxE\n", "Xl4eaprmGJQZjUbR6/Wa7pXapL6+Hnt7e5lVRzbQEx1YEzh/kawJPBaczOj8QiUROCneNF54krlE\n", "wZvnxXnQDVOibJ70er149913S4/nY7NigcjWxsqKyENWfInI+M4VEurjqR5YP/3pT20DycgEriiK\n", "KQimv7/ftBIlvzahvLycBe0R7rrrLvzGN75hucbGjRstmrqYqcD762RaczgcRp/Ph4Zh4NNPPy31\n", "A8rqmceiTyWhT24EJ22Ugn/sgjDdBP8oioLV1dWoqqptHAUJ8VgWBV7wi35VypQg2mXxWiIdM29l\n", "ePLJJ02TS0VFBSNdEq1JYpxIZ2cn6rounXBFK8OBAwcSGlgTOH/B95Ovf/3rtmbmRMzP4viaOnUq\n", "HjhwIOZxiWLv3r0pM5sDjL3S4rkEzct2cV1OytZ3vvOdc3KP+fn5mFAfT9XAiqdDE4GO3QvgV817\n", "9+5ln6dPn45NTU1Swp3BwUGTr7+urs6yehQFNzH1AYy6BSorK1n8gnh/iqJgS0sL+nw+VtwnGR2S\n", "FJ7e3l6LEsCvIvjOyVczpMJFPK644gocHBy0WEw2bNiAg4ODeNNNN2E0GmUR/qIQnTx5MpaWljJB\n", "LAtcFIU2T5UsIz0R3SNXXnklUxjo/Yr02DxImZCd2+v1YmtrK958880WzZ5/j6kWQBMYn0jW5C2D\n", "bNUsmyvFmjHxwikAW0SsQOR4wAcXkwuV4Ma0L0uRNAzDllY5MzPTdWaGk/tFvLdYdMziooRPQ08W\n", "Yr2XhPp4KgZWJBKxNPSaNWtwxowZjK6YOi4vQKqqqkxCiedACAaDrnx0RKsr+05VVSbASEiSD51f\n", "Zco4AUTIFJnMzEzUNA0nTZrEnr+qqgoXL16MwWAQd+zYgQ0NDaiqKn71q19FgDMxAry1gL4DGM0V\n", "Fq0RwWAQVVXFwsJCRiXMP8PmzZvxxhtvxKamJmlgplvs2rUL9+zZY9rHp3d6PB7TKkfXdYt1gAZt\n", "KBTC9vZ2k6Xhpptusr22KNDJfWTnpnFKbyQLD90fTV6pFkATGJ+wmztk+xPl848XqVzt81ZdWZo3\n", "QWY9jQeapsVVi8EOkUjEooiJCxI39XfskCx2SgBnKmc7y0VCfTwVA+uee+6xUHFu27bNpBmTQuDU\n", "IHxU7datW13FK8g+A4wOYPJL8/tvvPFGy7E7duxAACuJEg9aXcuiSsXOZxgGbtmyBZubm9m9kbmc\n", "Vvi33347O573+a1fv97yPFu3bsX6+npWZZA0VaJmvvLKK3HhwoWoKArefvvttu3GT3aBQIC9H1qt\n", "ZGZmYmdnJ2ZkZLC2EDV6UuTsJk5+IrvttttsK4mJ9+g2bYsmELt0rVAoZIq7mDp1KnvOVAugCYxP\n", "yPz7ol9aVs3UCWer3LAsQG+sAXIEGTmQSAhHIMsdXxzNbo4h0GLMLuaAnzPOFVGRG9ilqcpwLqpw\n", "JtLHUzKwZBGcOTk5uGzZMqyvr8cLL7zQUvwHYFSwiYUkKABNVVVpYJ2I6dOnO67458yZg2lpaew6\n", "JCR4P7cssCTWyya+ga6uLvR6vdjc3IwejwdXr16NCxYsQFVVsampCZctW4bRaBQ7OjqwtLQUdV23\n", "ZAnwKZm5ubm4cOFCaVEWyjtWFMX0fVZWFlZWVmJ/f79FEdI0DXNzc2OymuXm5uK0adMsg5fM+1Q+\n", "tKuri91PW1ubJUWKFKg1a9ag1+s1vcNJkyZhaWmpVHGhcxLTJPFbtLa2WshWOjo6mJIhW8GVlZWh\n", "YRhMgaJ7SrUAmsD4hN2YoH5n5yYNhUKWXHNeoXBDmkSF5Oy+p7k1VppbstDf328aU26LFPEYa3XF\n", "WNUszwWonUlZjFchJMRyM7hxs9Ax9A4S6uOpGFihUMgSYCama1DAnVNkLs9SRwFovNCm6oOyFBox\n", "QOSaa66RBvfwfmxq+MLCQgwEArhnzx7blfCKFStQVVX88pe/bFmtylwZfX19JpMQXYtcKtQBA4EA\n", "y3rIz883BeJRW/X19eEtt9zCOghZHdavX481NTUYCASY2a+oqAgjkYhUYHZ3d6Pf78e8vDy89tpr\n", "mRLG0yF7PB7cuXMn3nDDDYxzgm8Teg5x5SIL0OEDjwoKCkzt0draanq3CxYscDVYZO+U7qusrAxv\n", "uukm08RE1qBEB9YEzl8AJMdkTxa9ZCAzM9OSYh0LbngMzhYjYyzwmU3kTk0k0JIf42IgdklJyTlZ\n", "wZ+NPiJar3grdkJ9PFUDKx5ceumlFp8SLxT4Ve/ixYuZQNm+fTvefvvtUpP/ggUL8MUXX0SAUeEm\n", "EzIUNEjf/eQnP2EaPtF1btq0CXVdN63iCXSMUwWzeODxeJgC9OSTT1oqJdqZ63jI7rOwsBC7u7st\n", "QTp+vx9nzJiBU6ZMYbEfsnNS+xBXgKw8qKgI8K4AqpbIQ1TmsrOzGU02DXKneg2vvvqq7Xd1dXV4\n", "6623xpwYUy2AJjA+kYyx7AbBYNDRl75v3764zifjebHzT59tiMF5AKkjUxoLksGBIJuLCV/7SYrh\n", "BgAAIABJREFU2tccf+vGHZRQH0/lwBIjY9va2nD27Nl4zTXXsH28Zj44OGjp3Lt372b/u8m33bhx\n", "o6MvKBqNoqIoFtKNp556Kua5Y3XsX//618xkFA6HUVEUnDt3LnOXaJqGCxYswP3792NGRoaty0K0\n", "UjiVH7aLPlYUxTYXmrco2MHj8WBpaanlXnjryDe/+U0TAdKtt96K9957r+l4sp4QDzpvWVBV1XX6\n", "Eq2W1q9fbyFR6u/vZ64RJ+WG2op+n2oBNIHxiVh90S6eRdM0y7iK198vC+CVQbS0OinKbnH06FFX\n", "x53rgMuzBXG1PmnSpKQEPcpAioabd+sWCfXxVA+sqqqqmIFpl1xyCT788MNsf2trq0l5oCqEhHvv\n", "vRdVVcWMjAzGcdDQ0GASMrquY15eHhqGga+99pr0+iQ4KRAyEAgwwgx6kVlZWXj33XfjnXfeyT7T\n", "apeEIrk0En3R3/jGN1hbyQS3z+dzRRIig6ZpJm4Ifj//2SlKl6eMdroWtQe9X7KsEPggTPF35eXl\n", "ePjwYQQ4E9NBx/K/ycjIsMQakEXjwIEDtsFS/LOkWgBNYHxiLOPLyY8u9vV4WQtFt6zT+WWLF4/H\n", "46rIWaJIJrvf/2X86U9/Suj3bi0rCfXxVAysOXPmWLgFRF8WRZs6Ff/gBwT9L2s0WYcUlZHu7m68\n", "4oorLIOUKJJ5tLW1oaqqTNDIQIrLpk2bYgpXKvXMuzzIxEe+NjLPq6rKlB3DMEwpMXTvlPNPAXmk\n", "2OzatQv9fj+Gw2EsKSlBgFE3RyAQkCpnBQUFqKoqGoaB06ZNY8E+ZKGgQMWZM2cyFkZxgiHhT9cT\n", "75Vvb748smEYpkjtnJwcUzvGmgwJlCttx5g2MDBgCgi77rrrkjKwJnD+AmDsAXPinEP/J5rCByAv\n", "tzxWFj9STmS+d9lYEq10hFhBzDI0Nzeb5MGcOXMQwF1MhBuMh9LYVKE3FsR5U4TIvcPHryXUx1M1\n", "sJw6mYjbbrvNRMwTCARMq3++HGdZWRljKly1ahVu2LCBFR3ir9XZ2cn8XDxxEQ8KbiRz36JFi3DJ\n", "kiUIcCaAZd26ddjZ2WmKRyB/OlFsJqtDT5s2zWR6F83sYgCjDLK0qIKCAmxvb8ebb77ZtJ8Uj6Ki\n", "Iib0ZbUXaKBRu8tcNeIqiDehihwDPp/PYmJNS0vD+vp6VFWVuYxE0iQeCxYssFhVaJLavXs3DgwM\n", "xAw4SrUAmsD4RLzj9qKLLhoTIVFxcbGjYI0l4ERLnAwU1CxzWyZr3nKLWO7LWHj00UcT+j3JgHj5\n", "B8aa/jkWpYnuL5bCAACYUB9PxcDSdd3iFxc7uRuFgRdAtIrmTemGYaCqqtKiSbm5uaZr3nPPPax4\n", "Dg9+ZUD3pKoqhkIh/MlPfmIbnVxfX4+apuGtt95qEeAyU6FM4AKcGbAk8KlDGIaBzc3NJoWGFJKC\n", "ggJct24d+0wdvbm5GefOnWsZDDNnzrQUQwIAfOihhzA/Px/b29vxf/7nfxix0q9+9SvTcY899hi+\n", "9tprzLojU7LE7ADKOrF75+KktGPHDlM7FhYWOvYRuge7qF5VVXH+/PkWmmx+Mk21AJrA+MRYJnMZ\n", "3K5c3bgWxlJW2Q0ja6LCOpXgF0H79u1jFllxTujq6sK//OUvjudKNG5irFkssVyeTkWrEurjqRxY\n", "Ho8Hm5ubTYUueKFiFyRYUFBgMqGIgkhVVYsgmjRpkjRP+NJLL7UIGDGIkR8cssFMv6+rq8O+vj6p\n", "SY/qA9DvdV2Xuin4Y0hYUwS/U2AKHSOm4lCHdKooyeOee+7BUChkq83SAIlVe4F3FYnUzTQwr7zy\n", "SulveaUhMzPTVE62ra3N9A6+8pWvMJa1+++/3+TOIEWCjvf7/bYmzxtuuMF03m3btiU0sCZw/kLs\n", "O3al1xOJsrcLPLabK1IBt9d20w6xgu7cUjg7WRHjAW95FRcxtAh1K+y///3v237X2dnJ0srHGh8G\n", "YO2DqqpiQn18PAysWLj66qstfAL8S+G1qu7ubmYivvrqq/HWW2+VxhgsXLgQH3zwQQQYjUGQdfIb\n", "brgBAc4E1X31q19lK3ZK7bvqqqswIyNDWjmLMhvi4SV3QlZWFvO33XzzzRZt0U7R4CGL8i8rK8Oe\n", "nh5TCWvqbL29vdjU1MQKWckGMLUdxUHIyqiKHZfSLgHk5B7is2VlZbEYBFK8ZKyUhPvvv9+yjyao\n", "np4evOmmm2IqN6kWQBMYn4h33I51tdjT02NbkljX9Zhp0OKYkynFTivOs2EtoLlCFt0/VtO6eO6x\n", "gub5s1GyWobVq1fbfhdrbnIz1yfUx1MxsLxer4WMQxQ4bqJk+QA0CozjI9EprmD79u2W3+bn55uu\n", "ed999+HWrVstx/FKBw1wXdcxFArhd7/7Xdv7bG5uRl3Xcc+ePRYflMwsZeenIqsBDXLKfTUMAxsb\n", "G03Xp0CjyspK3LRpE3ODkBLT2dmJc+bMMQ0gXdexp6dH6gO9+eabsbCwEJubm/HJJ59ktQu++93v\n", "mo575JFH8Cc/+QlTyGQrBFKyCDKrCv8soith8+bNJqazUCjkOOHSu7WzlGiahrNmzcL77rvP1B4U\n", "sJnowJrA+YtY85JbuBVAblLYIpFI3KlubgiWklGCeCxIRtoez52yZ88ettKn2C/C4OAg7ty50/Fc\n", "bi04dhir9ShWeqRTEGNCfTwVA+vLX/4yS+8jiGZ+Cii0M9MBmEky7MoNA7jT2IuLi6XperLBQxkT\n", "TsE5TzzxBALISUVk5B67d+82KQx0z6T88AKOJ8aQafx79uzBBQsW4Ne//nUEGKUbBgC84447GBMk\n", "nePSSy+11bR5c1ooFGIrCFI0FEVh9MoUxyC2NQ1wN0QqIkETr5SJA8upKBIPihmws3T09/eblDK+\n", "H6VaAE1gfCIjIwOrqqpc9T8n8H3SqVJoIpCRjbkBzVGyhY9sLNnROVPsVDwUzSTsiLpeDG4er4jH\n", "YuE2sDNeKwi/4Eqkj6dkYNGNa5qGy5YtM03yfKfjMxF4gdPZ2WnSpMTUoczMTEuhonnz5kkpQ7dv\n", "326JThdNbvwkIFNUcnJy0DAMrKqqwg0bNkg7sCzGIFZlQ9JSKRPCKQ+YBjLRFovtKVNGZJ3w4osv\n", "xtzcXNugF/KDObF2AQBedtlllmcn0Luh1EBxouFdCz6fz8SSuGLFCtM7WLx4MUsNpfOSEkHnoTaP\n", "RCJYXl4undhmzZplGoTXXXddQgNrAucvxL5jt6obq1AGMBcQI8hWnckWlnYr20TM6/EQMtkJQrfp\n", "oclicuSDwcUYg4ULF7K5x825+P4hPh9f4yeRSrciGhoaMKE+Ph4GViwsXbrUYmq3o0ResWKFiRL5\n", "pptukvquLrroIraqp9oD4jG0gqVrffOb32SmNRK0mzdvRl3Xba8BAK7rgbvp9MSB8Mgjj1gmBVEA\n", "x+qkhFAohHPmzLGcLysrC+fNm4c9PT2oKIqtWZHah55XliYlmuL4wEMZJbI4SAoLC1lcAllWeNZL\n", "ET/96U9tv4tEIrh3717bQERCqgXQBMYnkjGW7cDPa+Fw2LZWgcfjsSwCYoG3XtJC61yTDpECIOMh\n", "SXW9gnhInsaigIhKgZPVQJYhx8NNsaqE+niqB9aOHTts6Yb5vHq+Uevq6qTFgwher1eahiZLz7n+\n", "+ustAk8Unrz/XeaWSE9PZ2b1Bx54QGoWpFU/D1kxJVlHpdWDUzAQBSXyQX083NYVv/jii9Hn89mu\n", "ECh4MVb6Dm+hEINsiAec0h9F8KVUNU0zWY527txpGpQLFixg5v+HHnrIdB5R8BcVFdmWyhYVkYcf\n", "fjihgTWB8xd8P9E0zULzTUikwqEs3kk29yRbmMrSiMcDxlP2BVmC3NbA4RdFMuWDFr3k8k0GNm7c\n", "iAn18VQMrBdffNEifO+77z6TGYuUAqeoWT5P9aKLLnLdeezodrOzsy3FfmS+7Ntvv932JRPIjC0z\n", "yYvasmEY2N/fj+3t7ezeKIiSopJ/+MMfsuP54kEDAwOW5yF3wGOPPYYAZxQdKrr01FNP4datW1FR\n", "FFs6aBH8uyEFJS8vD+fOnYuaprG2EMvKxqp1wE92Tz31lMly41RGW6ZoyUD53TKeBoBRBYcPRqqu\n", "rmbPmmoBNIHxiV/84heWfiT2r7HwCpwNyFa2dmPBLeIJpKO5ibduuA0stHNX8qtlREx5GxP4ar/j\n", "AYn08ZQMLP7mnUxZ1KnuuOMO5AdjKBQymavFGAV6QWVlZcwnXlJSYtLc0tLSsLa2FhVFsTU703lX\n", "rlzJOipxLpBAq6ysxN27d+O3v/1tBBgdiKR1U8pJsnjIb7/9djbQ8/LyLAMsJyfHlihJbFNxn8/n\n", "Y/TBPKiUMn120pLJiuAmH1fTNHbebdu2mb4rLy+XTj6GYWBGRgYePHgQAaxKCI+KigoWhUygAMnH\n", "H38ca2pqHBXJRPOAJ3D+It5x6/F4LJHwTmMy3vRGOzplmQC2CyZ0GkvJgqzU+v8fgaOdaMxwWiwL\n", "1xl7H0/FwMrIyMB77rnH9BCiIHAT7HL33Xez/0mL5BUNsRwwD1GT3r17N6spwINPkSMYhoGBQAB/\n", "/vOf2woXUiZ+85vfWFwVMvOfnb+JlAwygdPgUhQF8/PzTc9BE0FdXR3u2rWLuUBIiVq5ciWGw2FT\n", "USev14tVVVXS9h4YGECv14tFRUX4xBNPMJfAu+++azruvvvuw0OHDjlOaGLcgSyIk584REvLrFmz\n", "TL9xG9XrFGsQDofxj3/8o2kC5d1XqRZAExif4MdaIkhmKqCiKHGb292MIbcuyGQj2a4D3oX4zjvv\n", "mL6TuZ7HCygzww4/+tGPTJ/5fplQH0/VwCK0t7fb+skooK+lpcVE6HDJJZeYsg54ohtFUXDfvn2Y\n", "nZ2NwWCQnXvevHkm37/H40G/349lZWUm0zzfuKRsUA6+z+dj16VjsrOzcf/+/bhx40ZUFAUjkQjL\n", "hSfBrOu61LTodnIh4b9//34mfD0ej2nwpKWlod/vtw1Icor6VVUVvV4vdnR0MAWNVxz431AGgOw8\n", "5GIoLS01xSCIsRFEKEXtI8ZFLFu2zNQ29Py6rmNbWxt7B5mZmahpGrsWH7ns8/ksygjFKlx88cUW\n", "S5X4LoqLixMaWBM4fzGWCZ5XmnVdNxGiicG38WYzxFpB8gRrsuDjgYEBk1KezNK/4nXOxnnjQSJx\n", "H24Rq/3GUjeD/51bpSmhPp6KgRUOhy2R+qFQyNSgfOliu4bgWcEWLlyIiqKYNEOfz4e6rkuj3kVT\n", "/JYtW3DXrl0my4WiKCbTOX0XjUYxJycHV61aZRsQOHXqVExLS8N58+ZZyHz4dDxFUVBVVVy8eDEr\n", "VkT3DnDGN0fRyfn5+ZidnY26rmN5eTl2dHSw35BgXLhwIe7YsYP9hgTiwoULsampCYuKirCwsBAV\n", "RcFQKMSKcogdurGxEYuLi7GoqAj7+/sZtwTdk2EYmJ+fjwMDAzh79mzMzc1Fr9drahMS6nxAIcAZ\n", "t4OmacyCQa4d6g+8L7S5udmU+bF06VKTtUSWBgRwxnIjmlANw8Dy8nJctGiRKR11yZIl7LepFkAT\n", "GJ9IlgDhFypjZUckNDQ04JEjR+L6jRvTvlshZOcuHQuxj67r+MILL7DP//mf/xnXvdjdh6yiK4B9\n", "nZqzCbfpn7GCS8X2/T9tMaDyv/wDfeMb3zA1Apn1+bQNKorENy695IaGBtcUnrIBoSgKer1eFhdA\n", "55WlGhLpkVNHJSHGDxgxrY++LykpwYaGBtywYQO7NzLbk7bPK0HPPPMM+3/Tpk2WtqS2IDMgtSsN\n", "gOeeew4ffPBBTE9PZ4MuFvhnpXfQ3d3NagzQ92JxLKfS1ABnAkgNw8BbbrnFZGmgGggyiGZQuwmI\n", "Jlw7WmpN00wkVoFAgFkTUi2AJjA+IRPiIjlXMsoyny3Eots92/jOd76T0O/feOMNNi8nagFIJv2x\n", "aAlIlOLZLeyCSRPp4ykZWHTjO3bsQIAzk3pRURFeffXVTHBqmmbSpGtray2pgPxKlDeT2Wng69at\n", "M0XKiwIlIyMDW1paLILEjXlPxpzIn7etrY2lIV111VXY0NCAdXV1JirhUCiEmzZtQsMwmDIgRvaL\n", "CklZWZkl0E5sY7GTKooijZ8oKyvDdevWxSREWrJkibR2AilCwWCQrerJirNu3Tpcv349O0bTNHbf\n", "JOj5Z1VVFa+88krHAFViZGxubkbDMHDz5s3smQlbtmxhSqOMlERRFJw8eTIjZSouLp4IPpyALajf\n", "yHz0q1atOqtKwVhL/CbLZ3/hhRcigLNAJgGZjFRKN6WjRXg8npgWGDfuElE25Obmxp1tEovSWER3\n", "d7cl4yrW4oogZnEk1MdTObCoIexY9sgE39DQYMqFHxwcNJHb8PEGiqLgnj17MDc3F/1+P8tEWLx4\n", "sUnYG4aBaWlpWFlZifv375d2Gur8e/bsQYBR7ZKEDm++379/P0sbjEaj7F5pNaxpmlS4xRtjsG/f\n", "PtZZDcOwxBj4fD5bNi6nGAOqSEj1HfjjRBMhsRXKzkP3WVBQYJocRQtNTk4OKorCOrJolVm1apWU\n", "wErTNJwyZQp734FAADVNY++YzzrxeDymugcAZ5SkxYsXWyZv8V2Ul5cnNLAmcP4inole1r88Ho9p\n", "QSMq/rKiYk6gNGQ78DE8MrP5ihUrLDEQY3nGWHBKP+bnorNxbUIs7phkIJb7xK3rQmwLKuDnFgn1\n", "8VQMrHvvvddidnnggQdMAoSiw/lOzUfTA5gzEHp7e113aNlxmqZhZmamxSwjK+N5xx132J6HQIGL\n", "stUDz0CmqioGg0Hs6enBpUuXWkzfZJrnOfz5jI6rrrrKIrx7e3sxOzubFY+iVQbFWvzgBz/A/fv3\n", "o2EY+Pjjj7tqM1kwYE1NDa5fv95k2REtOrECo8gNoqoqfu1rXzPFDdiVZQY4s3KxG0Ti+e1WOGlp\n", "aaYCT8XFxawfploATWB8QtaXeNpuAHklw1RANi7cCGgnxFN1ka7Pz9W81cNpcWT33YEDB5il0cnd\n", "ONb2GSt4IjaAs6dgibAr8JRIH0/JwOJfenp6Ouq6bnlBlFuvKAp2dHSwkrsAowIpEomwlWRfXx/T\n", "0ioqKnDGjBloGAb29PRgZ2cn5ubmYnZ2tsl/3dvbi9XV1Zieno6TJ0/G4uJiU0AcwOjgJisAwKhw\n", "6evrY4Fyfr8f+/r6cMqUKdjX14e6rqPX68Xy8nJUFAUHBgZQ0zTs6elhqXYUbEh/6X744Bh+YPDk\n", "QV1dXazAyKRJkzAajbJ79Xg82NfXh/n5+ahpminuwOfzoaZpqGmaVFCT+eqiiy5i96ZpGubk5OCi\n", "RYswFAphRkYGVlRUYH19PRqGYcpeyMnJQY/HwzjEBwcHTb47wzBMjGqGYWBZWRk7hkz49PwlJSWs\n", "7eleKioqcNq0aZieno51dXWoaRp2d3ejqqqsffiBWFlZiVVVVSZFg845e/ZsnDJlCpaVlTHLC38t\n", "as9UC6AJjE8ke2K3E05OBeTGGicgXousFTIh/MgjjyDA2KPoZXDidJGVrnf7THYunHhcEWTC/4//\n", "+I+4ri9ji5S9U/F9jlUpOW+zEmSdW1VVXLJkCTY1NZn827w2tG3bNotmzq8q3aTDLF682FJgicfs\n", "2bNRURRLHXSerdDuxcQyId1xxx1sJVFRUYGKouDKlStx0aJFCDC6uh0YGMC+vj6sqqqyzXPmNXZF\n", "UaQVHAmyjAxN09Dr9eKGDRtszx8rKMcwDGxra7PcI/9Ot27davLDrly50pIXPXfuXAQ4Yxnh3316\n", "erqtm0kEvfuenh6LX6+7u5spRLKJiRQKejfkjkm1AJrA+IRdH+QXO7LvZ82aZalCyNcncWMqVlVV\n", "WmBJhBiL4HYcuRlj4lzBz4djUSLi9cMTZKXbkwnReixbwBJoXnFS5pwQiyE2HiQjqyolA+uKK67A\n", "b33rW6aHEQUYrYydBBTP1OdUhtcN82AoFJL653mOBAIxjTmVSn366acRQF4OWkbnu2vXLpMrhZQM\n", "UoR48iV+kMtYBm+44QZcvnw5q0VAxZW+9rWvoaqqGIlEWPzDokWLbE12/P2QhQTgDOkJFVaqqalh\n", "gZfiuWgguUmNIgWJwK8AxHcoI6OSgRQ8u9iKDRs2mAIz+XLgqRZAExifUFXVUv9jLODntrEKx1gY\n", "K6Phvn37EMC98LUrQ03jPh6BSYsLGpc0pySjzccL3NakiOWOEBejfLxWIn08JQOLblxRFLzqqqts\n", "hTr5bBRFMZmE586da6IBFbXhwsJC3Llzp2nfwMCAtKLX1VdfbYnmFAdpY2Mj+18WlUpm8by8PNy9\n", "e7fUfCXuI3eE00uniYMK/DilvxDHgFiViwSi6JOXQVEUnDZtGqalpdkOZKIVjhWdyz+vKPCvvvpq\n", "BAD2jsTOzQcN6rpuOtfVV19t4qro7Oxkrgh6v/TMYiZJc3MzZmVlSQebWK1s9+7dCQ2sCZy/4PtJ\n", "MBi0Fepi6m48EGmO/X6/NE6GiqclC6FQSGr5PFdFjMZLjQm+DcT2oABGu8wtcRHD/15W/4EsRbGy\n", "z+JBf38/JtLHVUjxdujQIfjd737HPiuKwv4/ePAgAAAYhgGZmZlsf0VFBVRUVLDP5eXlpnOWl5fD\n", "H//4R1AUhZ1PVVU4evSo5frvv/8+FBcXm/YNDQ2x6wIAVFZWsu/EYxVFgcrKSsjJyQEAgD/96U+Q\n", "n5/Prknbp59+ano+RVHg+PHjlvsRzw0AcOzYMelz8hsd4/P5pN+///77jtcCAPB6vfDuu+9a7p3f\n", "qqqqYp5HVVX46KOP2OcPPvjA9P2rr74KAACvv/46AAD4/X7T91lZWabPb775pulc1L6KosAHH3wA\n", "b7zxBgAA/PGPf2T7AazvqqamBoaHhyEQCJj6GQCY7pe/x4ltYnPaTp06BX/+85+l3z399NPS/a2t\n", "rWxusdt+85vfmD5XV1eDx+OxHEd932nTNC3mMbQdPHgQ1q5d6/r4ZG8rV648q+cX5xa7bWRkhP1/\n", "+vRp03e///3vAQDgiSeekP529erVps/870kO8BvNuX/7299M+6dNm2b67PV6Y9022x5//HHXx0q3\n", "VGjcO3bssKyWr7/+epO5mdIRedOImJXAa+qrV6+2Nbu4KVISCASwpqaG5d7Sb2SFhejenLRbYkyU\n", "meIo5Q/+oU0GAgFctWoVzp8/n2mb5JsnVwJv7eAzJXbs2GHRUFevXo2RSITdO1kcuru7UVEU3LFj\n", "Bw4MDKBhGLh7925bzZR3C1CQKMCZ/OTy8nJcunQpBgIBZvYX68fTO7KLvyD3hKZpeOONN5osQ/yK\n", "S7xHUVu3c4dQ+9uZ7goLC00xGnV1dRNZCRNwBF/VlSAG9fKkWW6QTKIdHrLYAqeYJDeQxRrY3T9V\n", "ieV5VvixKmtLOpedCzgrK4vNE+eC4tgtxLLJTiv+ZL7v8yorAWBUGEybNs1kNuOj80kpyM7ONikS\n", "mzZtMgWxifUB5s2bhx0dHejxeFgHWrBgAc6ZM4edm6L0+/r6mOAkEPEPCX66lqqqLMeYryWwYMEC\n", "bGxsxNLSUuzs7GSCm89yoGfho97thJVIcUymq9mzZ7NBJSpJHR0daBiGxXxJ16MBZOdr13Udi4uL\n", "saqqCgOBADPXi0oUTQoyti06NiMjw8QZQe+XIv8pNoMyTWjyIKxevdrUvhRHoaoqzpw5k03CHo+H\n", "UToDjE7O9CyqqrIJkNps48aNmJGRgeFw2FJEq7i42KS8dHd3JzSwJnD+wu2EbaesXnvttaZFhXic\n", "XWVRt9USRcQyz4vnkBG1JcOV4Ia3Jd5c/Xgh1mVJBHZtMtbsChHkIiW4LTVPSKiPp2JgrV69Gh98\n", "8EHTQ4jCgSZ7p5xZfhVN/mrZy3IT+DZ58mSLxgdwxh8ue/FOfnsKrqQgHh6U1sfjuuuukwYfUufg\n", "y7byVg1xhU5tMTg4yCwTW7ZsQYDRapS6rmM4HGYriZ6eHltLCykmiqJgc3Mzuy7Rv1LwYVNTEwvc\n", "FAc/fXbDBkdxEnRusSgSf6zIbmgHYpq0Kx61detWU+wGcVQkOrAmcP4CYGyMfCL4CP5kBB/K+vhY\n", "sxFobnNLCGR3/zSnxVMzIRwOo67rTHkXaeLPRjuda9gFa4qIpdSJsWC8DEuoj6diYIXDYSwoKDAJ\n", "pGnTpuGkSZPQ6/ViIBDAefPmoaIouGzZMrbSLCwsZMWPFEXBSZMmYVZWFmqahu3t7VheXm7SrCnf\n", "nhe4gUAA8/Ly0O/3mzj+a2pqsLW1FSdNmoSaprHiTQ0NDayOAvEK9Pb2osfjwZKSEvR4PKiqKqqq\n", "yjqyoihYXFyMPp8P8/LyMBgMsvsIBAI4f/58DAQCqKoqhkIhDIfD2NHRgStXrmTP0NzcjB6PB6dP\n", "n46apmFNTQ0qioLp6enY1NSEqqpieno6rl+/nq12KXWora0Nm5ubMRQKsXMoisIUgqamJpwxYwaW\n", "lZUxDodgMMjScXRdR5/Px5gjvV4vFhYWYkFBAaqqyngLamtrcd68eVhZWYlZWVno9/uxsbGRUSX7\n", "fD6MRqOoqiorsES8AWQZikajaBgGVlVVYUtLC4ZCIaYUkNKiKAoGg0ETD0VnZyf7TlEUttLw+Xys\n", "8qSqqlhaWorp6ensPgjUXvn5+bhkyRJUFAWzsrKwoqKCWVdSLYAmMD4hm6DFVTcFLLsVrMmoaOhW\n", "4NnRp7uFrH4MWX/F/bFokXG0QR3bQrY4dGMpORdt4QSnTIxkkh/RIlrStmPv46keWG40yWeeeQYf\n", "ffRR9tnv95s0VN7EEgwG2eq1t7cX165dy4Q2f62qqioWwW+nif7Xf/0XApwxw8+dO5eZ0sk3Nm/e\n", "POzt7WUMXIqiMEWELAPJqt61ZMkSJgCnTp1qEpQAoyZ70UQuQubb8nq9WFFRYVot07NUVlaayJmc\n", "MiOonWQ13MVJi1/JEOU0wefzWfxmqqpiYWEhaprGUkCdTGsLFy60PCvd+3e+8x1csWIhBoJRAAAg\n", "AElEQVRFTD9fqgXQBMYn4h237733nmMdFScksrq9//77XR8r8/X/X4OsdsW5QKw5V0SiSsHGjRtd\n", "9YuE+ngqBhat9BoaGlBVVfR6vRgMBrGlpQU7Ozuxq6sLg8GgKUVHURRsaWnBrq4u9Hq9rFxvW1sb\n", "6rrOCHcAgK3O+cajmIKpU6fipEmT2HeBQICtLnVdx5qaGoxGo8xHrus6aprG7oPn5ufZ8lRVxe7u\n", "bsZUyDMbKoqC5eXlGA6Hcc6cOej3+7G/vx+rq6tx1qxZbNUciUSwpaUFa2trsbKyEqdPn45erxer\n", "q6vZfSiKYjIvFRYWYjQaZSttwzCYpYQsKYZhsMJAZP7Pz8/HxsZGk8VDURQsKCjApqYmZtbnn4HO\n", "DzCqmIRCIUbURMdUVlaiqqpYUlKC0WgUKyoqsLi4GBVFwcbGRoxEIizgMD09Hdva2lgMhtfrxdbW\n", "VtZ+JSUlJhcGb2mg+ygqKsLMzEzs7u5m5yPueLKgdHd3Y1VVFaueKQ6qoqIiLC4uxqVLlzKLi9fr\n", "TWhgTeD8hd1ETNTgduZfXdctApgXKm4C0tyucGX8JrHg5vpEyERB0SKXCy/07Aja4sFYKJNpTDud\n", "N15hbgeah4iobayWDOJuoPgo/ju37qCnnnrKdA8J9fFUDCwSEk4P6UYj4k1atKrl83oDgQB6PB62\n", "8ucRDodNL/HAgQPS4iX8MbxLoqurC++8807bzl9QUIA+nw/7+/stEcsyK4md2Yk6MHUWMk1mZGQw\n", "EzgdSwGB6enpzAUBcIbkpKSkxMIcCTAaMxCJRCxt/qtf/QojkQiuWrUKH3vsMfzmN7/J2oo/7p57\n", "7sEHH3yQBVPKJhj6LUFm/uKvTwON8MADD5ja0e/3O8aO0D3YWYO8Xi9u377dEqHN98tUC6AJjE+4\n", "maSTCb6Whx3GIoSTZck8l4hH8FJ5eloc0FgX541QKBSzRLJT3RY3kFlRE4XX63WUkwn18VQOLJ4e\n", "VFEU7O3txenTp5uiMfkOf9lll1kEGx+AuHLlypiNuXbtWlMgn4jOzk7UNM0SEcqTMNm9jFha6G23\n", "3caCeiZPnoyqquLFF1/MovPT0tJw+fLluHbtWiwuLjYR+dgNDkVRHINyZAKY6gvYtVdmZmbMYMG0\n", "tDSsra21+P/49MydO3eagmw2btxooWEmvyQFc/Hsk+TicLoPeheUCbJs2TKLItbX18csPjJlgiw+\n", "9G5I4Uy1AJrA+ESsOcYuhS4SiVj88Hzqn+gatBubTmXICeLCy4ml1S1kxZfEOS8tLS2uQEO7MXk2\n", "f+cWIvV0UVGRbTA8WUrifXYCER8lk1wqoT6e6oHlJujmtttuwyuuuMLUIXhtl0835NPXLrnkEty6\n", "dSv6fD6Liaa7u5tRBbe2tkrvg3KRya+/fPlyZpGg9MnBwUFsbGw0CTwaLKTEJCt9pa2tjaX+LVy4\n", "0MKHvnjx4pj+K1maYWFhIXZ2dlrKT3s8Huzq6sLS0lLGPilTVsT0Uv5dEUQrAp+FIlYl83g8lihn\n", "CrpU/lEECcCazsNj+fLlltUFmeSuu+463LRpU0y/aqoF0ATGJ+Idt4sXLx4Th35NTY2tS4B3VTqN\n", "Adk45UFuN9lKPFnzllvY5eO7hdtMJTuQUI5XiXKjqMkQi/nWDhUVFa5cRQn18VQNrHjSaOwGAM8D\n", "Ti+V0tOoAXNycvDJJ5+0/HbGjBkmX+DAwIBFGIkVD/kc2zVr1uCyZcukFJcAo4KwoKAAa2pqpHTI\n", "dp0y1rNTQGMoFLKkUlLqoqZpppU6ddz09HTcu3evdEDJ0ha///3v44UXXog33HADbtmyBe+++24E\n", "sEYlDw4OYn9/P1PIZO9WDITiCYpkzy6a+B9++GFTO+q67uhHJAVIFhWuKArm5+fjnXfeaSlqwysL\n", "qRZAExifcDtvjQUyq6NTHZixIp6VbTIyJvixR/+LCxs3EKmiAezdsETFTvFXbjNEZBBdm7EgLsBu\n", "vvnmpLYjQGxOhoT6eKoHFqW+yR6M3Ajz5s0zmdza29tx5syZrJNt27aNfZeVlcXK/nZ2drJAsoqK\n", "CtPLqq+vx+rqaszIyMB58+axIDx+IFAAHv2trq5mvqaioiJW6WzNmjW4detWVFUVA4EA490nQVZb\n", "WyvtvLE6Cj0fCew1a9Yw5aWystIUiOTxeLCjo4MpBPwApKA9ALlfsby8HJubm3H9+vWmYEOPx8Pq\n", "C1BAZ09PjynNk+5PURQmZC+++GJL2WX++b1eL2ZlZbF9YrXL2tpaE284lZGeNGkS5ubm4oIFC1g/\n", "4NNE+VVPeXk5NjY2mu6Tfjc4OIhtbW0md4morKWlpSU0sCZw/iLeCZyCcu2+F2ObyJrm1oQc6zj+\n", "e9HXbRgGFhQUSHn/k80qGCumIVHBOW/evITair6TlaZ3wiuvvBJ3fxjL81H7uM2+SKiPp2pgxdMJ\n", "0tLSpMfLFAqeOKmjowOj0aglDQ9gNCiNJweqqamxmLvFgB7eZXHgwAEsKytjnUh2f5FIBL1er2NM\n", "Q7wgM/3cuXMttKs8QRDfNrywv+aaayznXL9+PS5fvtzyvLt27cIVK1bggw8+iNFoFFesWIEAVotA\n", "TU0NlpaWsvRBGdmJWMaar3kue4+isvClL32JETURnAYwmUhlCpmmaVhfX4+PPvqoxa/Lv8dUC6AJ\n", "jE8kayw7jW+neQgg8ZS3eNInx1pKWAY+yI+ndncLWVyBuFDh96uqKp3/E0UsN4BIPOfxeKRu3EQg\n", "zpEiEurjqRxYvGmHgg/5ankAZnKLLVu2WIQDX3fADTPWqlWrHH1RXV1dqCiKxX/thvs8lnnu29/+\n", "NquhQOat/v5+FvTm8Xhw1apVeMkll2BRUZFtMJI4KYhCl4fMT0gWBGIwFJGenu7IOAkwutKYPHmy\n", "RajzrpW9e/eaXBpbtmyxuAgoLZSUCr4iomEYriOniZNiyZIllkHZ29vLVj8yJYRSNcm3OBF8OAEn\n", "xOqLdqQ+lZWVLC2N75v0v5t0QV3XXZVCFtMaZaRE8eLVV1+Vjh3+M295dYuxKh5nq74EQQwUDQaD\n", "ttZtUkzGavVwE3gaLxLq46kcWF6vF7u6uky8+nzHogj1tLQ0pmkqioKrVq1ikfyUd843SGtrK/b0\n", "9LBcfhoYtI9eoKIoePHFF1sCOSjIjYTjjBkzmFYq+ql0Xcf29nasrKzEaDSKXV1dzFxHHZfumZ4P\n", "YDTdkFgV7QYb+dBJcaBaAHxHJCxYsAA1TbPQLdM9kEJi16lVVWVcEoWFhcz/ZxfjILMK0LFer9eU\n", "SkmrE+JLoMmQTPtFRUWm5+F/GwwGsauri90ncRIAjCpijY2NrAbGjBkzTAyQpCyQItXf34/FxcVY\n", "UFBgUeJqa2tNg76npyehgTWB8xduJ2Y7H3p/f3/MRYQ47nRdl1oJxMh5N+eKBdlcESu93AluBDhZ\n", "IcXSw2N9Bju4rcXAK3BicCG5LO2yxkRrQizXASkF4nFiDJld28igaRom1MdTObBWrVqFmqaxVaGm\n", "aTh79mzmjxNXi16vFzMyMkxBgfxL433MYlAgkY/U1NSYBqWoWSuKgrt27bKQlNgFGfKg6oCyQd/W\n", "1oZ+v5+tSvv7+1lFSb7TEx0ywJmgI7u63/yzUSEpcfKgFbgYoSw7FgBw3bp1eODAAduAJ2p3WQ0I\n", "Hl1dXWxlQ6uVmpoarK+vZxMmMRkCnDEREpETnefaa681rXbEe7788suxvr4e09PTMRwOY2trK3N5\n", "UH8gt4KiKHjnnXdK73fnzp2s3TVNw6ysrIQG1gTOX7id8FMF3goRD+KNxndabACcsQiPNYWPh9tz\n", "eDwe7Ovri1l7It6CRGNFrCB7WVq4U7+yUwT5QHxCIn1chRRuP/7xj6GkpASi0SgAjNbAfv755+G9\n", "994DgNG65QAAiqKApmlw6tQp+PTTT+Ezn/kMZGdnAwDAsWPHID09HQAAhoeHAQAgPT0dGhoaTNcq\n", "LS2FUCgEBw8eNNXa/uIXv2iqc42I8OGHH8Lx48fZvuzsbHj//fcBAMDn81meIxAIgK7r8MYbb0BF\n", "RQWEQiHLMRdccAF8+umn8OqrrwIAwG9/+1s4dOgQDA0Nme5neHgYXnnlFQAA+PnPfw4AACUlJey5\n", "ZNvIyAhMnjwZAMBy7f/+7/8GAIDc3FzL78Q644qigGEY8OSTT8L//u//Sq9VVFQEAAAvvPCC9Hva\n", "vvCFL7D3WFtbCwAAb731FvzpT3+Cz3/+8wAA0NzcDCMjI6BpGgwNDbF7qqysZOf53ve+BxUVFexz\n", "WVmZqZb98PAwNDY2wsmTJ6G+vh5eeeUVePrppwEAoKamBgAAXn75ZQAYbccnnngCVNXa7Q8ePAiv\n", "v/46AIy2Z11dnePzTWwT2z+UhJRuiqJY9n300UdjOteLL75o+11paall3wcffOB4PppDtm/fHvPa\n", "ixYtcvx+/vz5Mc8BAFBRUQHf/va34c9//rPjcd/61rccv29ubmb/9/X1mb6TtbnddujQISarZFtu\n", "bq5lXnfqV0899ZR0/zvvvOP6nlxtqdC48/LyLGliubm5Jk2JrAZkIZCZkmgVrKoqtre3o6IozHcP\n", "AKxYkkwTFk3Hu3btwiuvvNJ0HSpeRJ/T09NRVVUsLi7GcDiMq1evxry8PGlOcTQaxcLCQuzu7rY8\n", "K2UtAJwJnOno6MDMzExLJgKtYolWePLkyejz+TAQCGBzc7PJ5EVkQG1tbbhp0ybmfqEgn87OTlyw\n", "YAEGAgHMyMhARVEwJycHV6xYgc3NzRaT34wZM7CxsRGj0SiuXr2axSTwdMmBQAC3bNnC/Pi6rpuC\n", "bEjTF8tB070RJbaiKCaXQkdHh8nvNnfuXJMbp7Oz07HyGD0LuaN4K5OmacyVM3v2bFOKIhWcggQ1\n", "7gmcv7Drc/EimcyDiIhf+cpX4vqNnSl8PIDPQuNXw7IxH4sEDWDUXG/n2pFV1RURL1eBuOofq9Uk\n", "VqzX2WI+TInF4MMPP7SsvA8dOkSDDgAA3nzzTQAAOHr0KJw+fdq0qqbt5MmTADC6wnvxxRcBEeEz\n", "n/kMO88nn3wCQ0NDsGXLFstvP/nkE9OKOT8/H1555RXTdU6fPs1WkfR5ZGQE3nnnHcjKyoIZM2bA\n", "sWPHABEt93fkyBE4fPgw1NbWwieffGL67g9/+AP7n17Eiy++CEeOHGH3TtaP3//+9wAA8N577wEi\n", "wunTp+HEiRMwMjIChYWF8Nprr7FzffzxxwAA8NJLL8Ff/vIXZuV45plnAADg73//O+Tm5sKxY8fg\n", "6NGjgIhw+PBhOH36NHz44YesPWm7+uqr4cMPP4RIJAL9/f0wffp0AABYunQpa/djx45BU1MTXHbZ\n", "ZXDkyBEYHh42rViojXt6ekznLiwsZOc4efIkICK8++677PnT0tLg2LFj7PjZs2ezNgEYtVicOHEC\n", "7DZ6H+Xl5ew+6NzUhhdccAF88YtfNK18Tpw4YeqHE9vEdra2d99919Vxc+bMiXlMXl4e/Ou//mtc\n", "149EInEdfy63r371q+x/fvV/9OhRy7EkK8TtpptuYv//v//3/6C7uxsAAKqqqkzHvfzyy9Db2+t4\n", "P+L8FWsT5xCyksa7kSVVtqmqarJ2J3VLhcY9adIkCxMhRefruo7BYJD5la+//np2TCQSMQVgUA4u\n", "wGgAmxumLr/fb1qxE2jlSr4n8o/T9fg0GSKWELU1/jNpevwz5uTkoM/nYyWVAUatB3PnzsWioiLc\n", "uXMntrS0oK7ruGXLFlQUhWnLfHQ/MTZSu4mkH0VFRej1erGkpMRU9Imif5cuXYqbNm3ClpYWizWD\n", "nsPp2ej7tWvX4jXXXGM6nqesprLQfJuIDGtEHFJXV4dtbW0m685VV11lqxGL5EZkOaECW7Rf0zT0\n", "er0sEFH23imdlGprUF55qlemExifkPUjKvwljpezwZHvBDe1BJJNtCPyvvBzpAy8JXAs96IoiiXz\n", "aCzIz8+3pJKLPvxYJExO95/Md++UiSLGUyTD4pnSgcUHlVG62OLFi00FK3jz9urVqy1phHytBDEi\n", "X4ZNmzax4DQZotEo6rpuSQF0k64Yi7v7tttuY6bt1tZW1HUdFy1axIQzBc5s374ds7OzWQRtLLOU\n", "03MThbOM8Eg2eBVFwcLCwphmxmAwiBUVFba0wwCAN910k0mA79y505J7S0oNZSiIgYax8oXpuShA\n", "c8OGDawCHGHVqlVMwZOZIlVVRU3T2D2QcpJqATSB8YlY84DY/wjp6emWIDG+6JsbIVldXe3qOJFQ\n", "KdEiQDQuxLlIvBdFUeIu4TzWIM6zHfzJp8IDjGaHiemmyboXWrTJghHHWrExkT6eElcCBW8cOXKE\n", "7fN4PJCRkQFHjx6Ft956CwzDAEVRmMkZYNRUfvjwYdO5eDPSPwat6Rri9s4778Dbb79te1wgEICM\n", "jAxmxqbvf/SjH5nuVbbl5+dL9wMA6LoOP/zhD0FRFFBVFQoKCiAtLQ3S0tKYW4V+/9xzz0FOTg7k\n", "5eWBoijg8/lM98kHq/h8Pvjkk09sTUoURMkH7Hk8HvD7/XD69GlLIJ5hGJCRkQHFxcW2zwIwaroM\n", "BoOWwBr6rOs6PPPMMxAMBtm1f/vb38IzzzzDnkVRFBYUGQgEQFVVU9tmZmaCx+MBXddt78Pr9YKq\n", "qjA8PAyKosBbb70Fp06dMh1z9OhRyMzMBIBRF4W4+f1+8Hq9EAgEAAAgKyvL8dkntolNthmGAaqq\n", "wqFDh6TfZ2dns0Br2v7617+y/wsKClxdg5/n7DYxWG/Pnj0xfxNre/bZZ9k4ojE8ZcoU0zGZmZkx\n", "gxLFTdO0Md2PbCwnc/vSl75k+vzTn/6UBY/TRnMTtUNGRsaYrkWuDJnrQBbwLttozk6KeyGVGrdh\n", "GDh//nyTNsuvhmm/oiimNLWuri6T+URcBWZnZ5ssCQCjK1G+ch9h27ZtFkISnuEQwBz8IiOiyMvL\n", "Q4/Hg7W1tbhixQppSsnGjRsR4IyG7fF4GBeDCNI+afVNgXt2xCkAZwIMRUYzajc35E+KouDy5cux\n", "sLDQtgwpmfBimdh4lwJv5VEUBbdv3256v+Kqg19x+f1+1nYAo9YRnglu6dKl7F1v374dFUVhGjbx\n", "P1B71tbWYlVVlTQQiKie6fOWLVsS0rgncP5CNv5lYyAWl70TZLS3slVpMoiLYl0DILFAxVgBdABn\n", "5nC768cqi8zPF8loB779RZ4cmt9pfokFJ7eHYRjMzZlILQcRZWVlmFAfT8XAopfPC/S0tDTcuHEj\n", "FhUVYVdXFxNovAKwadMmSz4+X1hHLMksQ1NTE95444223xOzopjnyrNgxWK/ssPAwADLmqAo11Wr\n", "VrFaD6FQCLds2YLhcBh7enpsTUg8p4JhGBaTFw9ZHm0gEMDCwkK86qqrpEKSJ4ayg6qquHbtWouC\n", "wPOVT5s2zeRna2pqsrgGKPp4+fLlqKqqiRmxoqLCNbsZuRLC4bAlgri6upp9L3tH1A+pr5Eik2oB\n", "NIHxCbs+GCt3PhqNWoQkP87ckgitW7fO9juK0E+UMtluzIv7fD6fJVso3vPaxf/EgpvaCE5wY6KP\n", "NafTYo3ONVYiqFjMh/G8T4pHSKiPp2JgUaBOJBJBwzDQ7/djZmYmRqNRbGxsxIaGBszKysLs7GyM\n", "RCKoqirzNzc0NGBmZiYrpRyNRjE9PR29Xi9Go1HGWBgMBlmao6Io6PV60ev1YnNzM5aXl7PCP7m5\n", "uajrOno8HvR6vVhZWYkNDQ3Y3NzMCvT4fD6srKxERVEwLS0Ns7KyGIufruvo8/mYBcDj8WAgEGC/\n", "pRVsJBLB0tJS7O7uxmAwiH19fVhTU4MdHR1YXV2NPp8PI5EITp48GUOhEJaUlGB3dzemp6fj5MmT\n", "0TAMFlgXDAZZimRpaSlWV1fj5MmTUdd11hZEtNTQ0IBpaWlYUVHB2NP8fj/m5eWxWg4ejwc9Hg8a\n", "hoElJSXY0NDA2ATpXZEfPhAIMAbC0tJSU1vS7z0eD1ZXV2N1dTUWFxdjKBRiqZ+VlZWYlZXFlKOG\n", "hgb0+XzY2dmJaWlpGI1G0e/3o6ZpWFxcjA0NDVhQUMDamp7L5/Ox5y8oKMDm5mbMzMzEuro6Njiz\n", "s7NRVVVsbW3FsrIyzMzMxHA4zAJfKWiyuLgYy8rKcPbs2aiqKtbX16Pf709oYE3g/IWT4OSLesmE\n", "jKjoiunRsSZ9N/TBqqqOaYXvpngQHfPII48ggDkoWhSkY6meGK9gtvtNLGUjGffGvzMKaB9rYCe9\n", "L1ngt1sryEMPPWS6p0T6eEpiDCh17OOPP4ZTp06x1MGOjg74+OOPoaioCI4fPw6HDx8GTdNgZGQE\n", "hoeHoaurCxoaGuDIkSNw4sQJGB4ehn/6p3+C48ePw8mTJ+GCCy4ARIQTJ07Axx9/zNILERFOnjwJ\n", "J0+ehEAgAHPnzoXh4WFARDh06BAMDw/D0NAQnDx5EqZOnQovvPACfO5zn4ORkRE4deoUnDhxAj77\n", "2c8CIsKnn37K0gXpvk6cOAFDQ0Pws5/9DIaGhuDYsWMwMjICQ0NDgIhw6tQpePnll6GrqwsOHz4M\n", "n3zyCfz2t7+F1157DWpra+Gf//mf2Tm7urogEAjApEmT4Pnnn4dPP/0U/vCHP8Dw8DCcPHkSTp8+\n", "DYFAABBHUyQ//PBDuPDCC+Gll16C4eFh1hZEnHT48GH49NNP4c0334Th4WEYHh4GVVXBMAyYNm0a\n", "nD59GoaGhmBoaAhOnToFf//73+GVV16BH//4x+ze6VqnT59m6Zm/+MUvoKWlBTweD2vLU6dOwec+\n", "9zkYGhqCP//5z1BdXQ0NDQ3w+uuvw+nTpyEvLw+ys7Pho48+AkSEjz76CL7whS/AiRMn4HOf+xyc\n", "OnUKLrjgAtYfvF4vvP766/Dee++xth4aGjKlbB48eBDee+891i90XWfESocPH2bv8Atf+AIcOXIE\n", "3njjDRgeHmb9AhFhaGgIDh48CO+//z6MjIxAW1ubJcV0YpvYYm38nCHbvvjFL1riCHg/OaUDO23H\n", "jx+Xkg3R5vf7YWRkxDEux257/vnnHb9XFIUdQ4REhmEwAjYAgBkzZrD/+VRvp62xsdH2u38oYtKN\n", "0g9lv7n99tsdr/n666/HRVRkt9GzU4r2BRdcMKbzlJWVAQDwyifbPvnkE1f3SmnkROyW0JZqjbu0\n", "tNTWjEJEOVOmTDER5MyZMwfnz5/PNCs+nsDv9+OGDRswGAxifX091tbWshU7ryWGw2EsLi7G4uJi\n", "nDt3rqlGA2n8RKVLdb2Li4tZ9TNajTY3N+PAwAAODg6ix+PB3Nxcxu1P/r9QKMSehS+2EcuURZof\n", "aYzr1q1jZqKCggJTzEEwGMS6ujpm1uM1V77ug2wlUVRUhLW1tdjf38/agawLkUiEWUB8Ph/29/eb\n", "/PgAZ8ouU82J2bNnm8z5gUDAZEINBoPo9/uZm0MsjNXW1sbIX+jefT4fVlRUYGlpKUtxjEajaBgG\n", "i+SldqLIaKpxQeddu3YtqqrK6mPwWST0DPQ5Ozs7IY17AucvnMasHXi3KY0v+ixmPLnJruIRa1XN\n", "Wym+/OUvW77v7Oy0FAwCiJ1lFS/clgseK9wQRjmRovHzVTzX3bp1a1Lflx3ITRSLZpmQUB9P1cCy\n", "S/uIByS4Ac4Icz4GIRgMos/nwxdeeMHyWxnzoZjTT2l9sg7T09ODe/fute1EmZmZmJaWhj09PRa/\n", "m6xj2Jkf6fr0GwqEyc7OtjB2UWqgx+MxFVyi/Tk5OZagTIBRPz+5Yfj9r732GkajUdy0aRM++OCD\n", "+NhjjyHAaNohf9yBAwfwrrvuYmZFWbDR448/bvocK2iKr7IIAPjd737X1I4ej8fRrEqTml0AWFpa\n", "Gt5yyy2WoEzeT5xqATSB8YlE56148fbbb8c8Ziwm7LMRhxAPxiIg7eZJGYaHh1nb5ObmMp4F8brk\n", "TnU6V6x6NbGwYcOGpLdfLHdRQn081QPLTeeYPXu2KTKU4hJoMPCT+ZQpU5hmdfnll+OaNWuwsrKS\n", "+ZTpuIGBAZZDnJ+fj5mZmRYfHxUmohXpwoULWfDcnDlz0Ov14ubNm7G4uNh0fzTgKEo+0U5FKCsr\n", "Y4rPggULLFGxmzZtYm3CPwv/3GLGBQDgzJkzccOGDRZ+h5KSEtywYQN2dnZieno6VlRUYHp6uqWd\n", "AoEA6rrOsgdkyofo0+PvQwz0lHEs1NTU4IoVK1BRFMZJwNOmiujp6bGQaJES193djevWrcOmpiZp\n", "HnYyBtYEzl8ke4K3Q11dna1VMVHyHOrnsvmAQIp4svzxNIfZfSebN9ziwgsvlMoSmsPdYMeOHQiQ\n", "HMuGLF5ErI7oxnphBzeZHgn18VQMrLKyMiwqKmLmW+Uf5YwpcC09PR2nTJmCqqpid3c36rqOhmFg\n", "VlYWZmZmomEYqGka1tXVod/vR5/Ph62trZiXl8fY6xRFYav2nJwcdp20tDTMyMjA4uJiVslPVVXs\n", "7OzEGTNmsPvKyspCwzCwtraWXZ8CEdva2lggGx3n9XrZy6LAuYKCAiwqKmJEQB6PB/1+P86YMQMD\n", "gQBqmoZFRUVYVFSEbW1tOHPmTMzLy0Nd17GqqoqVpdZ1HUOhEGN6rKqqQo/HgwUFBbh06VLMzs5G\n", "wzAwPz8fVVXFlpYWFhxoGAYLqqupqcFwOIzV1dXY0NCAubm5GAqFsKGhAUOhEFO2dF3HtLQ0zMvL\n", "Y8GC1dXVWFNTg4ZhMGbF0tJSbGtrw/r6eiwsLMSSkhLmNqFAwbKyMtQ0Daurq9Hj8bB3TlUlKyoq\n", "2PuIRCKs4mJZWRk2NTUx4V5WVoYlJSUsELK9vZ3dL60IFEVhQZT0ziiws6ysDL1eLwsOS09Px6ys\n", "LCwrK8OpU6eystNVVVVYWlqKiqIkNLAmcP7CSdASyKztZI7nfxPPSthOUMgYXWVwm+ljB1n1xrS0\n", "NMawyiNWHYNHH33Uss/j8Zh+J5YfFpEIk2MyKj+6eb8i4nVXOEFGigQAmFAfT4opnKEAACAASURB\n", "VPXAWrx4saX0MYE0rHA4bFpVXn755fjv//7v7LPI6vWlL30J8/PzmcAGGF1d8qtQ8pOHQiG8++67\n", "pR2NOiddS9M0S0qkx+PBvXv3Mt97e3s7MxuRqVtRFOmgcduhadWwd+9eU4wCf4zP50NN02wLgsSK\n", "Z1BVFcPhsGWgiNexK8fMH+v3+02RtKJ2K9ZeF6OhRbMbvUNFUXD+/Pm4f/9+1vY85TOvgWuaZrHU\n", "XHvttQgwuroQJ0dxEIdCoYQG1gTOXyQ6kfO563z/JsiEqdNcsXLlSsfr8SyusnlAHH+JKg52cJP1\n", "kGy6ZhHJoFKOhVjtx6ebO0Gck2QyxAkJ9fFUDKyuri4sKCgwPfi6deswHA6zFR11Zp7LOjs726Qd\n", "VVRUMI182rRpWFhYKNXSeGFnGAazIPDH5ObmsnRBALPZWTzH4OAgs0jYvZSKigpUFIUFKQIAWzGv\n", "WbOGna+goAAnTZqE06dPxy1btrAqimQaI2WGAhoVRWFETaqq4vXXX28K1KO2qKmpYXEGFItB6aFL\n", "ly7FSy65BIuKirCnp8cUeMl3Sj6tjw8gpHfQ0tKCg4ODmJWVhX6/HxVFMZET6brOzJEkxMXrRCIR\n", "BBhdYS1cuJApC6qqmiZP0S0g0s5SICZfRRFg1E2kaZqFpISukZWVxQJKPR4PlpeXM9dUqgXQBMYn\n", "ZONdpCAmN5e4360QOJtIlBRJxlXABx/zzyOzmPDj+OGHH467LciCmIy2oPknGRCVLicXTDLfN/Hg\n", "iEikj6ckXfGDDz6ADz74gAYZwOhTQCgUAkQERVHg5ZdfBoBR6l3asrOzTfSQb731FqPQff755yE/\n", "P990Ttr4KooAoxX3xOMOHToEr776KrS3twPAGdpjqoTIUwf//e9/B0Q0UTqL29tvvw2Ioyl5VOnP\n", "5/MBIsKzzz7L9gUCAairq4Nf//rXEAgEoLCwEBRFgd7eXkBE+OUvfwkAZ6ifEZGlxIyMjMAvf/lL\n", "VkGQnun555+H1157Df72t7+xzwCjVcpOnToFxcXFEAqFoLS0lKVaitUhEdGU1nfs2DFWzZAqnPX2\n", "9kJlZSV89NFH8MknnwAiwuzZs9k5VFVltcyHhoakKTef+cxnAGA0bevtt99m6T8jIyPw2c9+lh1H\n", "90Lbc889ZzqP3++XvgeiZ5VVRxsZGYGPPvqIpZdR+iO158Q2sbnd3nrrLdNnqg7oNEfwm2zeGsvm\n", "Jk3xBz/4QULXePbZZy37ENGUnkiVDT/99FPLsXx64pIlS6TnctoURYFgMOj2dm23cDhsmTe2b99u\n", "+kzzl5tNTFMNh8O2x8b7vmtra22/O3DgQFzncrWlWuN+8cUXbYPIKBhOVVWTT2bdunUmk7loeotE\n", "Iqb0RoDRqPYnnnjCco2LLrqIWQUI5O8jrY4P9JFRczY2NmJGRgaqqoo///nPWRALD1kWhpsAEoAz\n", "0adOPkS6r9tvv136vZ27hoeqqoze1U6jJabJWBovHxAqrprICkIZAWJ09J49e2zP9ctf/tJkDszK\n", "ymLWANH3KZKc9PT0sLRL8X7FDIdrrrkmIY17Aucv+H7yu9/9ztUYThTr16+P6WtPBrq7uxOOd0gE\n", "YpGp/4twMvkTCdHZhqqqmFAfT8XAys7OZjn/FEwWjUaxu7sby8rKcNKkSVhXV4e6ruPixYtZ4GBj\n", "YyM2NjYys7Lf78fa2lrUNA0LCwuxvb3dxNJHZnCe5S4cDmMkEmHCiILhAoEA5uTkYGtrK2ZmZjIz\n", "fF5eHqqqysz1mqZhNBplZZrpOqqqMjcAlfqlADjKoigpKcFIJIKRSIQx/E2bNo3l7S9ZsgTb2tow\n", "Ly8P29vbsbS0FCsqKjAQCDCXhKZpGIlE2HWmT5+ODQ0NLJiR7pXcLsTV4PP5WGBmVVUVtrS0YEtL\n", "CxYWFjLmRnLj5OTksEwOwzDYfnIH6LqORUVF2NzcjDNmzMC0tDS2v62tjQUvlpaWYnNzMyu3XFpa\n", "inl5eczcr2kazpo1C3Vdx5kzZ2JZWRl2dnayAMiuri7My8tjwYR8sGpRURF7B4ZhYHt7O2qahuXl\n", "5UxJ0nUdvV4vVlVVsfsi5kbqF4Zh4NSpU9Hr9WJTUxOmpaXhtGnTEh5YEzh/YTcZi1HnAOZ0WZon\n", "7H6fDJ5/clGeq1REPu27t7eXuQ7cXt/n842Z3TDRZ+Sp6cX2449xOge5eCl+gueWiacqol0Aod19\n", "iW3I3yu5RxLq46kcWIqi4OWXX26qd8CDrAKGYZgKlWzYsMEUjCimlzQ3N1tWtps3b7YQ6QCMFh8S\n", "+Quo3DF1PCrHyzc6/wwdHR1YVFSE2dnZuH79ehagyHcqcTXrxk9GA46ej0oUy0BxBCLZBt2DmxQc\n", "r9fLaJLtoqkpXdIpqlZVVVOBKNEnSe+O3q94Lj7AU4wP2LRpk+kdhMNhlnZKkzA9sxgo2t/fj+np\n", "6dLYEPFdrF27NqGBNYHzF3w/IXpv2TiwI9wh+nKnsSgKgu7ubotlE8BdKmE8kfdpaWmuCq6dLVCA\n", "8NlCMrIBqD3tiIb4YE8RMuWRlEWxHzU1NZk+x6MIBQIBTKiPp3Jg8QUnVFXF+fPn49SpU/HSSy9l\n", "jcRP4hs2bDAFIwKYWfPcdOiVK1c6vrju7m7UNM1yDC9w7SaCWNGou3btwlmzZiEAMKvDypUrmdKQ\n", "kZGBq1atwqVLl2JlZSXreOL1eFO4oii2mQgA1spg1LG9Xq+UX4G06FgRsOnp6djQ0GBZ5fAT1ebN\n", "m01CfN26dZYIagqEIrcR77ZJT0+XDiTxfgHOuA0WLlxoKWQyd+5c5oaRkSKRVYTuhXKfUy2AJjA+\n", "YdcXZbwqPDo6OizEXXxBJCIic0IwGGQsqk4QK7fSYicRyBYX4oqbrMDxnFc8h1skUvHRDUS3BtXf\n", "kR1L8+BY2SJljLWEeNuTzpFQH0/VwIqnAYmXQNzPWxHo+xtuuIHti0ajWFFRgQ888IDlt0uXLjUN\n", "ltmzZ1v88KKg54Xctm3bsKOjg+0T70/TNKyqqsL8/HxHIp5YL1/cT+WVGxsbLfSmfOYC3zakSOi6\n", "jvv27bNc47rrrsP+/n6L7/3OO+/E/v5+vPXWW3H+/Pm4a9cu1q78cb29vdjW1sZW7rJ0K/G6vKIl\n", "M7mJFSPvvPNOHBwcNLWLUzU7YmGUpQapqoqhUAjvvfdey4qLVxxSLYAmMD4RzyQdL2QCXCaQE03r\n", "cxNzRIhl5o4H/LlEQjU3kGVEEGW7uD8nJwdVVWWWxEQonkUlJJYVRrTudHZ2Jl2RoWwqOyTSx1OS\n", "lQAgj1a120pKSsDr9Vr2U8S5oig0YKGsrIxFv7e2tsKMGTPg3nvvtfw2KysLBgYG2Ocf/vCHrPgO\n", "bRQxT9vg4CDLTigtLYVf/epX0NDQAACjxUT47fTp01BeXg7vv/++q4I8dP9O+xVFgYyMDAAA2Lhx\n", "I7zzzjumYymKHxFZ2wAAyyYYHh6G733ve5ZrfO9734ORkRFTBggAwL/9278BwGhk9RNPPMEKk7z0\n", "0kum4370ox/Bc889B7m5uQBwpiAIv1GUNm18lgBfSIa2N954w/T57rvvZlkJqqoCItoWUQE4E118\n", "8OBBy3fp6ekwffp0eOmllyyFXo4fP257zoltYjvb28yZM9n/NI/97ne/sxzn8XjiLgLEjzO+2FGs\n", "LZkFxQKBAACMZoY99NBDpu80TYv5e1lGBBWtE7cPP/wQEBF+9rOfAUBsmcNnnsnOxW/Dw8OO53r6\n", "6adNn5999lnL3OL0/igrzmnbt29fzGPGvKVS49Z1Hfv6+kwral4TIx+xGEk+Z84cUw1w0QRXUlKC\n", "l112mWnf/PnzGQkRv58ojfl9ZH6X+edlfiWiCo5EIrhs2TIpPz+5JnhOA7va5XRduhYVcXIixiAT\n", "PXEc8G0s2y+Dpmk4b948zM/Pl2ZfAJyJZYjl2+TfKe/iURSFvRt6v6LFgG8/v99vqn+xePFiU4BP\n", "T08PI0Qifgk6H8/3QO+1vLxcGnVNQY/8+0r1ynQC4xNi37HzW9u5LN2YhkUztl0552uuuSbmueKB\n", "WOCJn+PGek43hEnkTrA71q3VIllBlzwZE8/PAHDG90/zcqx74C0FomVDVVVmaRXn90SepaKiAhPq\n", "46kYWFOnTrUMpi1btrBCPh6PhwkWPvWvoKDA5PvOyMhgpt/6+vqY/mhqbJnQMwwDs7OzmbCmjkgd\n", "hFdYKM7BKeqUhDrf0YmdcNGiRayDFBcXY1NTE9bX1+OuXbuwsrLSFDcwZcoUBBj1T9J5eDP8lVde\n", "aUkHrK+vx+zsbGxoaEBFUdigJgXqsssuw2uvvRYrKytxwYIFriYqnjiIOuzcuXNx586djKIawMzC\n", "pus6CzSkLAS7AJuSkhJcvHixyT0guhN48IohwBm3klgTgzIm7DjTPR4PXn/99ex9ZmZmMldJqgXQ\n", "BMYnZP1IdK+RK8sN29+5RqLsf3YCi1/oOAX58TESY6nDkJ6eblosjBWKolhYVkV3ajwuG9G9kMzC\n", "SU5ztKxiJgBgQn08VQMrHtpN4rgX9/NBK9Rwu3fvZvuam5sxHA5Lc/uXL19uEqjTp0+3WANEn1Rd\n", "XR27zvbt27Gpqck2aERVVYxEIpidnW2xXsT74mWdra2tzZLvT2yAxLjItx91XPE3AKMCeOXKlZZA\n", "wv379+PKlSvxwIEDOGPGDFbkRPTtd3d3Y11dHSsXK8tFJuFL4GmsZX1BPP6WW25hRZroGUVNnkdN\n", "TQ0CyCPDNU3DmpoavPPOOy0+XX5iSLUAmsD4hNt5ayyQMSXK+nCiXAPxCGQ35Yzdgl+U8ePZLWTB\n", "1FTETdxPKeM0L8VagTvNwaIsiJWKKFpow+FwUotRAcSu+JhQH0/FwNq1axcLZCOIVb7ITONEO8yT\n", "GN144422x7kxyZSVleHcuXMtnePmm2+2HDt79mwEcCYcuueeexAApBkDfBAdYffu3SaTEwlLSt/h\n", "g/f4DiarjnbjjTfiwoUL8Y477kCAMxH7+/btYwWjaEUzMDBgqxXzAjsUCrHBwdNEFxQUYCgUYisj\n", "ccKitnejCIpBmvwkIr5Dp5oNPGhSkAULUe0FqpgJMKrwJWNgTeD8RTAYTArnAD/u3Lj6xgI+6yEe\n", "0BwjmxtkBGF25c1p4RQP9TBZGUVrrczScS6ppGMhnrTQRGmp7cDLy0T6eEoGFv8g999/v62Zl/gD\n", "PB6PKY5g69atpjRFMd+zq6vL0vB33XWXqfASYeHChSaeAr7jkzDiTUKyVeqFF16IJSUlqOs67t+/\n", "36L02A2MWFGy1OnJTD5t2jTbY8k/JVNkANxFIRuGwdKN7AYctYWTiU1RFBPTo7gKoucgoS2mEIqm\n", "Mf73d911l8lkmZWVxd6/GLMh8lasXLkSVVU1WVMI4j2sWrUqoYE1gfMXfD8h/3A8SE9PjztC/r77\n", "7htz+fZ4iHYyMzMt8+m5hJsMrkRwLlgd582bZ/vd3LlzXZ8nVqE3JyRaHTYlA2vDhg0Wakh+1QZw\n", "JvXOiTaYn/hlwtiugWUIh8MWGmW785ImKyMcIXz/+99HALn/hydnIlx//fUm4UTaJwXo8bXKeX4D\n", "mRa9a9cuXLNmDe7duxcBzpjs7r33XmZGJ2Vj/vz5MXNzFUXB+vp6FndBaUbEGBmNRtlgkLlU+HM5\n", "Qax+yceTiO9w586drgYIPbtsUKmqipdffrnJncC7nVItgCYwPqEoioWPYCzgA+rE+S9ZcBN3JQMp\n", "IWRZjAVy3dnNIfEI5NraWlYGHeCMYrN27dqz0kapgFOqNY9YtPmi0keLLQDARPp4SgYW/yBOZn6a\n", "zPv7+00RoNnZ2VhaWsqEzvTp09l3kUiEBeqtXr0aly1bhrm5uczfRMctXrwYu7u7UVEUrK2tZZTC\n", "/PWJPZGC96ZPn84sES0tLWgYBg4MDJiYFvm6Dtu3b0dFUaQuirGgpaWFXX/q1KkWIp/Vq1ezjsQL\n", "aP7aspzo1tZWXLZsGW7evNm0PysrC5ctW8bYEPPz803tzndeVVWZwiCLlBYtFrW1tey+xHxcv99v\n", "Wf2XlJRgT08PaprGFDOnAKSOjg5Wv4L2keVh+fLlePHFF2MoFHLkj0i1AJrA+ESi49gtJk+ebLva\n", "dyOw3cw5JEhkxz7++OMIkFj+vwgnBcEuyt8NwuGwlEnWTmGRgcjnHnnkkbiu7bYcsri4cXKTO0FV\n", "VVfvJJE+njIeA9qc8kH/MQihtrYWTp48yfYfOXIEDh06xHJXX3vtNfZdMBhkuekFBQVQV1cHp06d\n", "gqGhIdO1Tp06BXPmzAFEhMOHD8Px48ctVRg///nPAwDA+++/DwAAF1xwAfz1r38FgNFqfqdOnYKs\n", "rCx488032TEjIyMs7/fEiROAiHD06FH2LIlsVC0RAKCtrc2Su6vrOmsn/jv+2mI+LsBotcgPP/zQ\n", "ksc7NDQER44cAV3XYWhoCI4dOwbvvfee5bonT56EkZERdm3iTeA3MRe6sLCQ3ZdYme748eOWnN/j\n", "x4/D0NAQnD59Go4dOwYAztXL/uVf/sWS3/z2/8feuwdXVZ3948/al3PNyf1+PSZpEsNpkoE0pMBE\n", "8nJNCZcMEmAEJCO3jFRhRC5fCwIOXtGqjNZqO2qdVjuOta1Tre9r37fW+latvlREbcFbvVAQUEAh\n", "kJA8vz/yPou11157n3NygoeXX/bMZ5Kzzz57r73W86z1rOf6r38BwODYX3rppQAAjuMyHOM1cowc\n", "AOdi9+M9mpqaYNmyZcrvPv30U8jNzXX9vfx9Tk6O7RrKbaCid8rzEk/OmWgHzcGqaqhvvfXWkO/7\n", "/vvvw9GjR23n9+3bF/M9XnrpJQAYzBETz3HixImYrhPXMACAJUuWOF6ryu1Cx8DAgCNdDNuRTImb\n", "YtpF9YcICn3zer0Wz9g1a9bgokWL+Gc5JKi5uRnnzZtnsZWvW7fOtiMGGHQOlHen5M9A0rpYy0FW\n", "3TPGcOLEiVhUVITp6enY3d3NTRzibpWkUfF30dKUknRNzxRDFmVQHQV5903v7+bBT/D5fFhZWYke\n", "j8dRIqWcBG6mAU3TLGYW2ZOYTAakYZAlbjEcU9QQ0NhTfzDGMBwO4/Tp0xHgXD0KcczF+1555ZXo\n", "9/sxMzPTtkOSQ1hHfAxG4ASRTtzi652+a2pqiqoilumztbVV6ZEfS3rkeHwMPB6PrcbIN4lYTYRD\n", "hVN9g3hAY6NKrw5gNfvKiCXtNUGe7+ON5EuIxpPJWM8//7ylo4PBID744IN80ZeZo7i42LYwi50n\n", "MomTGq27u9vi/S9fZ5omNjQ02OLk5RoNKrj5HHg8Hhw/fjxu2LABAQYTK9XV1WFRUZFlwDMzM/Hn\n", "P/85Msa4fVxMb6xCenq64yRE6aBVDKFywisoKMAbbrghqg21o6PDNa+31+vF7u5uZIxxIWLLli34\n", "05/+1FI0hAQQcp6U1Ws//elPXYWQ0tJSNAwDy8vLUdd1vOOOO2wpsLdt28af6RQiVV9fz+2q9Lxk\n", "L0AjuDBBNPPSSy/Z6GjOnDnn1VN+qElvhqtNKlOlDErbnmjaZgB1BNf56qNofZaWluaYlM4Jsrk3\n", "GiKRiK3mz1DDRROi8WQyVqyYN2+eJTRQLrkpLnqzZ8/m+Q02bdqEmzZtUmbtWrVqFd+ZhkIhpTRG\n", "AgpJ3Js2beIS38KFC1HXddy4cSOmpKQonYdI8hYLAyWCtLQ0vnht2LDBFnmhqh4pQ5VwpbGxEbu6\n", "umwhU7m5uXjVVVfhlClTeIVLVZIiKkJEmd5Ui68sKYuCh0qgkr29w+Ewdw4lQUkMLZQhV5kEOOfQ\n", "2dzcjJs2bVLuwIaLsUZw8WI4eDkWdHd3O8a+k79NPPcTd7ikjXSqbCvybKw29FhATneq3babA3k0\n", "OC2e8ThfUnScasMkI5qgpfpe1u5Q8joVoglVsSSpSojGk8lYlNWQCDwvLw9/8IMf8IVU13UL8dfW\n", "1trUK2IIn5hYx0lqXL58ucVJRWauUCiEY8eOteUHUEUSyHALXQqFQtjc3MwXrE2bNmFDQwPW1dVx\n", "QtR1HcPhMK5duxZN0+QLrSzYqDQpTuGI1Mey2ULMiCjfa8WKFVFDoxYsWMCdDsXzJESlpaXhggUL\n", "0OPxcA3NihUrcPXq1fwayoMAcM4pUmRkTdNw48aNrtXXKL/CmDFjuBpUzJYJMCgw0U5HFS9O0R2U\n", "iKqgoAA1TUuIsUZw8YLoRuXI29XVNSylfd3ofSi/Gy6NAZnt3KIoSKAYDrW9m+DiBK/XG9V8Eos2\n", "Q14bMjMz4xaSYo0+ILS2ttq0tU45ImTIKZUTovFkMhYA4J/+9CccO3as8kXpvNfrtSxia9eutcTr\n", "yzu/trY2myngmWeewUcffdT2jObmZtvOk4iGiEus2CjfF2BQaKD27dq1S5lsSVVZK1ZVG0n3Tr4Y\n", "AOck8B/96EfK76PZNOl9o4UVRavoRRAXc9nMQTkdaNzk3cO9995r+Sz+/umnn7b4l5imyYUeOeOi\n", "HBNNwo7KNCNPAjNmzEiIsUZw8UKkk6FUCKTS5vH85q677nJMEhRtHomF90V+Gk4NQbyIdyGNF/Fq\n", "WYYCVXQE4ZtMkZ0IjbP/JfRv9MjKykKPxwOff/45MRqUlJTAsWPH4NSpU8AYg29961vwj3/8Ayoq\n", "KuCzzz4Dxhj3aGWMwcDAAIwaNQr27t0LgUAAiouL4YMPPoBQKAQnT56EU6dOQXFxMZw8eRKCwSB8\n", "9tlngIig6zowxuDSSy+Fffv2QW9vL+i6Dm1tbXD27Fl48cUX4fTp02AYBui6Djk5OfCvf/0L+vr6\n", "IBgMgq7rkJ2dDb29vZCeng4nTpyAw4cPg2EY0NPTA319fWCaJqSnp0NOTg4cO3YMSkpK4H/+53+g\n", "v78fdF2HSCQC77zzDvT19UEgEABEhPLycujt7YWPP/4YTp8+Denp6fDVV1/xd8zMzISvv/4awuEw\n", "HDx4EM6ePQuFhYWQnZ0Nr7/+OvT390NFRQW89957UFNTA4WFhfDGG2/AsWPHYOrUqfD888/DJZdc\n", "AsXFxfD222+D1+uFL774AoLBIEyYMAGOHDkC+/fvh8OHDwNjDAzDgIKCAigsLIRPP/0UMjIyIBgM\n", "wu7duyE7OxsOHjwIPp8PsrKyoLS0FD788EPIycmBDz/8EAoKCmDfvn2AiBAMBuHkyZMwZswYeOON\n", "N/h4p6enw7FjxyA1NRVSUlLg+PHjkJqaCsePH4czZ87At7/9bTh8+DAcOHAAEBFqa2vBMAx48803\n", "wTRNqK2thYMHD/KKmD6fD3p6enhkhcfjAUSEcDgM77//Pvj9fhgYGIBTp05BSkoKeL1e8Pv9oGka\n", "eL1e2LdvH/h8PigoKIAjR47A119/Df39/fGVrxs5/n9x/O/uezjuA0Odf4mv6Jg0aRKcPHkSXnnl\n", "leFomuWIRCKwd+9e/jmedsvX6rpuif4Svxf/D4fDPLqsoaEB/va3vwEAQE1NDfz973+3POPtt9+G\n", "devWwXPPPWd7fnNzM+8T0zShr6/Pdo3X64UzZ85AamqqY4SBpmnKCo5OR0pKCo+eokO8fyJjH+uB\n", "iEOev5ISrvid73wHGhsbYWBggEsoFRUVcOrUKTh79iz09fVBfX099Pf3A2MMTp48CV9//TWcOXMG\n", "Tp8+DT09PXDmzBmIRCLQ29sLx44dg0mTJsHp06fh6NGjPEztk08+gaNHj8KJEyegv78fBgYGoK+v\n", "D/r6+uCdd96Bnp4e6O/vh97eXjhx4gRccskl0NfXB2fPnoXTp0/DyZMnYeLEiTwc76uvvoJjx47B\n", "qFGj4MCBA5CZmQn//Oc/4eTJk3D8+HHo7e0FRITe3l4YP348vPPOOzBq1CjYvXs3D7Xr7e2FcePG\n", "wenTp6G/vx9OnjwJZ86cgX/7t38DwzDg9OnTnAD7+vpg4sSJcPbsWfjud78Lp06dgv3790N2djac\n", "OHECPvroIy5Q9PX1wf79++Hs2bMwadIk+Na3vgXjxo2D/v5+GDNmDAwMDEBLSwvs2bMHwuEw5OTk\n", "wJkzZ6ChoQH+/Oc/w2uvvQaHDh2CgYEB6O/vhzNnzsDJkyfh9ddfh0OHDoFpmnDgwAHo6emB0tJS\n", "6Ovrg/7+fggEAgAwGH64Z88eQER499134ezZs9Df3w+ICP39/XDgwAE+BgMDA3D8+HEe2vnpp59y\n", "4YGEq3fffRdCoRD/zcGDB+Gdd97h/dva2srbOzAwAD09PfxZ/f390NPTA6dPn4bq6mreVqILEuYO\n", "Hz4MlZWVkJ+fD4gIPT09MHbsWDh16lRck8DIMXLIh1yGXXWIIXvjxo2L6/5y+O8f/vAHW9gvAHD+\n", "FI94yzWLQgEAwKhRo2zXOJVAnzNnjuWzHBIutoUWyubmZsuiOWnSJAAYFPZloYDaoxIKAMAiKKmE\n", "AoBzYYRuYYfxzgeyUCDfv729Pab7xDtWbqWj4zqSoYrz+Xw225Gs4oklNEMsxEMJP0R1m9frRV3X\n", "lU55+fn5FhXcww8/zCMGRIgOI2RaME0Ty8vL8YknnnBsZ2NjI3o8HtyyZYtNPaZS1VVUVCjtgGSv\n", "I095Mll4PB7+DLqWVO7l5eW4bt06/hxKw9nS0sKjCehZpmni7Nmzleqvm2++GYuKirCpqQmfeuop\n", "Xq9BNsk8/vjj+OSTT3IVvcq+JzsWqZyCxHcZM2aMpT/Wrl1rMRVUVla62hGJnlRFowAGfVCmTp2K\n", "9957r4UOREfRZKusR3BhItq8FCucwt1kxGJynDFjRlxhiQCDZs9o18RjhhhOxPsuKogh17feeiuf\n", "P2Sn7Xvvvdc1jTFAbGGhbhhqKmYxtbwKKtM2ISEaTwZjdXV12XL6y448lM3QzZFH9Dyn+FfV4hoL\n", "A9bX1+PKlSttv1fFpI4fPx4ZY7bcBCLI1r9p0ybbPVWpl7du3WoRGIgxKPcCOSIyxrjDnqZpSv+M\n", "bdu24erVq7mgQ+9w9913o2maWFNTw+P2Z8yYgR6PR9lv1B5N07CxsZE7w6NipgAAIABJREFUE4lZ\n", "HtPT07GxsZE7XspOn7RAx2JTFWtmaJpm8csIBAKWNrqVZBbhVttB13Wb57coSCR7ARrBhQmA2FMF\n", "u0F0FnMLdY4VKodrN3u3G2gDovLHUfGSU/tpnoknhLC1tRX9fj+fA2m+i7Z4/1+CqvidCtEcWWWB\n", "Q4x0SIjGk8FYjz76qM0j/ic/+YlFOiXBQZTuZIIUpbh58+bF7Fiius4wDMzOzraFqqiSfdx///3K\n", "QRFBC7Yq9EUUNjRNw2AwiJdffrmlbgH9nmKC7777bv4bsdLipk2bbEzX2dmJubm5fJdOWhQqjvLk\n", "k0/i1q1b0TAM/PWvfx1TnxmGwRdmGqdwOIxdXV1oGAbvC7kAS7TESiTVa5qGP/vZzyw7BRKGVJAL\n", "Xzl5XVNeBCdv7pSUFF7Bkq4jLVCyF6ARXJigOi4yz4mfyXs/2VDtvIfiMClC5UjtBJrPRP4TFzu3\n", "OdtJGzt//ny+2VM5lCcLcluGI49DLHBKRpcIjSeFsajh2dnZGA6Hed580zQxJycHU1JSkDGGLS0t\n", "qOs6BoNBzMvL4xn5pk+fzjUMPp+Pq1No5xuJRHD06NHo9Xr5glVbW4s1NTWYlpaGuq6jx+NBXddx\n", "ypQpWFxczNXruq7j5MmTLRXQ6uvruVli1KhRyBjjg+73+zESiWBpaSm2t7djOBzmSTBox+3xePDK\n", "K69EwzAwPz8fGWO8poPf7+e5AXRdR9M0MRgM8l06lQYGGFzgSQjQNI3DMAycP38++nw+7vVKC2Ve\n", "Xh7vS5ERqb8BBicPn8+HWVlZ2NjYiKNGjeI7AJ/Px+9FJZsBBqV6er4oMGiahmlpaTh37lz+ua2t\n", "jSc6CgQC2NTUhIwxHDduHJqmiaWlpZzRTdPE5uZmNAwDNU3DcDjMrzdNEysrK/k7eb1eHDNmDLa0\n", "tKDf78fRo0djeno6DzckLUZWVhZqmobTpk3D6upqzM3NtWhJNE3jyaaoDfX19Qkx1gguXsQ6YTup\n", "w+NZWKNBlW9/qGGCVEtE1e5f/epXtnOxagFiCTmkgm9OAn6sZa7p906bNnq3aKZqsWCTmENHhNPC\n", "L593CxVljDm2Vdb2xBsGmxCNJ5ux8vLyHBmIFuYlS5bg9u3b+fmWlhZLrKcYHuj3+3Hbtm3o8Xiw\n", "vr4eR48ejZqmYWVlpSXtbUlJCZaXl2MwGMRrr73WMnj0P+0CSPVfWlrKCZgW/aamJty0aRNXQaem\n", "pvJd89SpU/k7JlLukwht8+bNXK1WWFhoYRZd17GmpsaxaIhbGs+UlBQsKyvDa665xtIPmqZhWVkZ\n", "1xDouq4sdEK/IRvejBkzLJOGnI/CNE2L4CX7HzQ0NFgmPBJ+cnNzMTc3l4dMNjQ0WJJdic8sKiqy\n", "aS/If2Dr1q3Y0NDgOiZ+vz8hxhrBxYuh8G97e7uSZwDsKnLZBh4NTqZSeobIeyo/qvr6eluIsNzG\n", "4UC8WQPjRSxmk1jeKd73djMpqzDU4knULpmWnJAQjSeDsRhjNmcOeTBEqcvv9yulU1JTa5rGmePy\n", "yy/nv62vr8fS0lKeuEbE/PnzLfaza665htcbIAQCAYvQUlZWxnf3nZ2dOGvWLKyvr7fsvgnBYBDr\n", "6uqwoqICV61aZflOJQg5MTdJtrQzpxj+yspKvPrqqy1MT7v8QCCAo0ePtqnxMjIyLDkZqN/vvPNO\n", "7OrqshHsmjVrcOnSpXjVVVfhokWLuB+H7Ndw1VVXccdGAHXyEzkHOglNAOecJmVnQ/H6LVu24LJl\n", "y/h1wWDQ1TGHnDZVzjkejwfLy8uxu7ubjx99JwqPyV6ARnBhYiiTeryTvwiVul2eL+KNz4/n+njT\n", "+rpBNK0OxU/jkUcesZ3bvHmzUkui6zpmZmbyOdTJnEh97qYBkXOkRIO8gSovLx/2HA3RHEMTovFk\n", "MhZjDJcvX47//u//rnwx2p3LqKystBCCTOSmadpKZ06dOpUXZRKxZcsWm1pJZgSRmFXqI6/Xy50C\n", "b7/9duViJNv1GGNRHY5o4Mme7uapS+o6+Z5E9LHUegAYzBIYCoUcBRXSWERLGyr6B8iLPNUyUO1S\n", "AKxJQEzTtHhPr1q1yjLe3d3d/Hvyl6B3ltOGZmZmOhaukhn54YcfToixRnDxQqYdJ0fYoTr+yfzj\n", "hlgjG2LFcEQDnA/EqnGNp9CQG8R5Xn42bVDcsj+KcEu9Lppn77rrrmHrr7Fjx2JCNJ4MxmKMRZWe\n", "VKp9GaJqitTSoj0rOzsbg8Gg0j7W2NhokbhuueUWW+5qUmHTZ3FH3d7ejlu2bHG0F6anp2NaWhpO\n", "mjTJpmpSSetODiTEqESo5M2ak5ODy5cvt/QNScR+vx/Hjx/Pf0O2w5ycHFu6YIBB9WJzc7NN6Hn2\n", "2WexubkZV69ejffddx8+/vjjCHDO059wxx134I033sgXYlVBpyeeeMLyecqUKbbxFd9FFqQee+wx\n", "i5bB7/e7quTIHkehmjJCoRBu27bNln5U1EIkewEawYWJ4Zq8Y0UsQr3T/OGGZAsBQzGv0lwmwkkY\n", "IKdiqvPiFLqcnp4e1VHwJz/5SVztlLUPTpugRBAthDIhGk8mY3V2dlpS2pqmiW1tbVzFJEvcgUAA\n", "MzIy0OPx8IHMysqyecszxmwEZJomer1erK2ttTCE/AxN03DLli0WjYSmaa7SPz3/1ltvRZ/PpyT4\n", "1tZWDIVCfGFfvHgxL8AkCgper5drHGgnQtW2nAQk0zS5P4T8bFLvqwo5qdpJ/hw7duxQPovaeuut\n", "t7ra4qZMmYIlJSXIGONOgNXV1RiJRLhQWFRUxBmIhAmPx2MZn7Vr11oEK7nNy5cvxzFjxmBqaipW\n", "V1djU1MTX+yJHii8VNd1x0Ita9euxXHjxvH+zM7OToixRnDxYrgn+OHGUIu2qUyubnOebHqVQQ7P\n", "sezio9n1YxViTNPEMWPGWDYeKrgVYBtORHMYVAl0bn3hpPFUaXATovFkM9aKFSuUxXwAzu3eioqK\n", "LIvD+vXrLepluTTnxo0bsaSkBHVd5wvPhg0bLIWBaKGoqamxhAICnNudk0RGz9I0zVYS0zAM3Lp1\n", "K/e8b2tr4w4+4iKm0izEaucjxhLD6mTiCQQCqGmaYy31aMzJGMPCwkIbA8rPIR8FFfGKJZfF3bzs\n", "UUzETeMr54AXE1fRu9H/S5cuxc2bN/O+NwyDC3FiISlN02y1Euh3FPWgGnPCqFGjEmKsEVy8iIVn\n", "3ZCammqZc2TaU2nCUlNTY9KcqiAKw6p7yLZ3uRLqcCGWSofnswAVwLn8OOcTTos3IdYIC3l9iDfa\n", "JCEaTyZjPfTQQwhwjjHS09Nx586dPApADIUDGHQAkYtQiOp/MWGIk2qou7vbUqJTvo5C/mS7kCwQ\n", "qODmner3+3HcuHFcaNi4cSM2NDRgZWUlZwbGGBYUFODtt9+OmqZxFaLoEKdCTk6Oo83/nnvuQQB1\n", "WVLVuaKiIly7di0uWbLE9ZmdnZ2W3AYyMQeDQezq6kJd13kEx9q1a/Gmm27i11BoI8C54imyeuyO\n", "O+5wLeoSDofR4/HgqFGjuJBG70z4wQ9+wAUBsg/KqKur44JERkYGMsYSYqwRXLwgmlHtsJcvXx5X\n", "Mp94MdQCR8MVU0+aU7fFjebO4cia6LTRcYNTwrZE+ywrKytuh8l4HTdbWlps/iWx3kPe1CVE48lk\n", "rFjxyiuvWLzaxcUGwJo1sbi4mNu6V6xYgbfffrtyARs9ejRPSCGHtRFee+01BDiXtW/z5s1cOicv\n", "1ZUrV2JlZaVld0oERRqK4ciSBjDoTEcOL1dffbWt1DJpLdzuoWLoYDCItbW1NjuYpmkYiUR49Iam\n", "aa62TJoQKCmTCFn6FW35a9assT1XFloohwHAOfOIrFkQsXPnTltfUNt37tyJ27dvV/pCDBdjjeDi\n", "Rbx8++qrrw5pYTYMw3X3GS0fwrFjx1x5kJ7h9PvhDlc831BlaRwKvqn3dhOu3LTJPp8vplwYCdF4\n", "MhkrHA5jXl6eJW5XjPkXzzPGeGKhnJwcS8Y8mbgNw7DFBufk5GBxcbFtYZs+fbptELZu3Wo55/P5\n", "uDSmGjDTNJExhqtXr8ZwOGxbsAEGFz/GGB/QiooKvOmmm5RESBoEen+y97sxMTkVytoFkvCdfAZk\n", "3HzzzTh37lzHEs+0mIpmGRWuv/563mekwvf5fBgIBHD+/Pm871XMKPbf2LFjLfbAwsJCyyR7yy23\n", "4KpVq3goZ2pqKleNkgaJtBKhUMhRY7Bjxw6LCnfChAkJMdYILl7EM/knA05l7KPBzY6vmntize4Y\n", "S14Gp1BCcT6J5VmqyDMVoglqogY20VLJTqZyau9wOIHKJQUAABOi8f8LjPWLX/zCkgJXzhsg2sQa\n", "Ghr4wrJ+/Xp86KGHlCqt1tZWfOmll2y/F0HhbySoPPLII5yAifmuu+46zMjIUIYeUvYs1aANBbm5\n", "uTh+/HgEGEyRLMfWxpJhTGVySE9Px6amJlvyE8pCSBoPOVGRDDKlyHkb6F7iZzFXOGkARMjv5vP5\n", "uGaH8lfcdtttjm353e9+ZztHbV+6dCnu2rUrqi012QvQCC5MxMu3Q9UYZmdn87wlKkQT9idNmmT5\n", "LIfvAribJs5nSl/VjjfR58WbyyEZ7y3CrQBSNMdOMULLCQnReDIZizGGVVVVFruyuHMkhmpoaLAI\n", "BkuXLrUUIhJrD3g8HlyzZg3m5eVhaWkpT3fc3NxsYYzc3FxMT0/H6upq7Ojo4ImLAM6peOh62h2n\n", "paXxokZ+vx8ZY1hRUYHXXHMNdnV1YTAYxNLSUp7CmBYy0TYlZiOLFoNMiyk5nXR3d3OzRigUsmg/\n", "8vPzsaSkhAsoYgggY4xPAKpnpqamYmFhIU6bNg2DwSAahsHTGRcUFHCbnWEYfNEXhS1iJNqhNzU1\n", "Wfw9cnJyLDuO/Px89Hg8PHJE1j60tbVxzYSmaZiamoqGYWBGRgbW1NTwEMSSkhIMBALc7ECqRMYY\n", "pqSkcEGJ+uL6669HwzCwo6MDi4uLLcKK1+u1TAjFxcUJMdYILl4MZREQ6T87O9uinZIFcidtnROi\n", "LWSiWU517/b2dosa/nz5SCS6846GWEwA5yP7ouwsGm08YjVVyBtaMlfHKgAlROPJZCza1YkL8gMP\n", "PMAXfbkDS0pKbHmraQcNAI4Chty5onenfJ1pmtjQ0GDzO5Bj91VwS1jk8Xhw/PjxfBJYt24d1tXV\n", "YXFxsYUAsrKy8NFHH0XGGLe9R7OdZWRkONrLyY9CdQ+V1F5QUICbNm2Kqn2YO3eukgHE0NFVq1bx\n", "IlEAgyaFBx98kP+OMcYFFfJYlqswPvTQQ66eymVlZWiaJlZUVKCu63j77bfbsqNt3bqVP9MpJry+\n", "vp6bGeh5yV6ARnBhgmjm2WefVfLF+bRRD1XtPFy7YNqMuC1OpM4fjmfGMu/KGC7BRh7H9PR012RF\n", "Kjj5rzmhvr4eV6xYYTkXLcrBqb2J0LgGSTzeeecdAAAIBoMAANDT0wOvvvoq/Pd//zcAAPj9fsv1\n", "hw4dgg8++MBy7u233+b/f/nll/z/UChkex5jDF566SU4duwYP+fz+SzX9PX1wYwZM2D//v2W8889\n", "91zU9xk/fjxomrpLCwoKYM+ePfDGG28AAMDBgweho6MDDh8+DGfOnOHXHTt2DH71q18BIkI4HAYA\n", "gO985zuuzz1+/DhUV1crv9uzZw8AAHz3u99V/k4+Jk+eDGPHjoWamhrXZzY3N8PAwIDt/P9OnFBa\n", "WgovvPACDAwM8Hs9++yz8OSTT0JaWhoADI5vT08PAAB8/vnnAADw1VdfWe7n8/kgEonwz4wxy/ff\n", "+973IC8vDw4cOABZWVnwwgsvwHvvvWe59uWXX+Ztvfzyy5Xvs2jRIt5Xp06dAq/X6/r+I8fI0dnZ\n", "aTv31FNPcR44H0dfX1/Ua2g+FQ8Vr8pHLDRP/Nrf38/5WD4eeeQRABicAxI97r///rh/8/Of/9w2\n", "r8tHQUFB1PvI43js2DF45ZVX4mpLeXm56/fyevHmm2/Co48+ajl34MAB/v/hw4eV98nNzR1eukum\n", "xB0KhbCxsdHinEKqbIBziToMw8BQKMSdD9vb27l9RtM0m5o+HA5jR0cHV6MDDGoWLrvsMpvEvXTp\n", "UptENmPGDNQ0jUvF9fX1XPpVJUSqrKzEjIwMnDRpEjY3N3NbuyhVr1271rJDzsnJwWnTpil3F9RG\n", "KohEEribg053dzcyxmyJPUiToCp+JIKqFc6YMQOrqqp4iIzcPlLFqSRn0UzS3d1ti86gvAPUFkpE\n", "RGNL9xHfIT8/3+KD0NzczDU+jDGcPn06Llq0CBlj2NHRgR6Ph6v2SG1KGpnW1lasqanBYDBoe6/L\n", "LrvMYmZpb29PSOIewcULNz4SocrSR3wQ7bex7npVfDhUrYKq6BJBrrHidJ0K0VK/A5zLReOkZXBz\n", "4BMxXCmRxfTEskMjaU2cIgPkd3CLPjAMg8/z8pgnEu6paRomROPJZqxY1E233XabRaXk8/ksZgPR\n", "blRZWckdA7u7u3HdunUYCAR4GV+6btq0adxe3tDQoGwHpdAkJ7UlS5ZwT1wqvnPttdfa1D/krEhV\n", "AONVPzmhsbGRv+u8efNsaaUXLVoUdUJRqaWKi4tx8uTJliqVxGRTpkzBsrIyZIyhz+dTOi9S31Ek\n", "iOjzITMTQcwzLl/v8XhsSY9CoRA2NzcjY4wnKXFLFbto0SLbBEkCxYYNG3Dt2rXKPA4ikr0AjeDC\n", "RLx8W1dXN6TFuqWlxdFxWdf1qHOnbNNXXU+bL9Uir3IKPp+IJQGSExhjyjDpeMw6tBC7OXyqMNTc\n", "EkONHsnIyIjJXyMhGk8GYxUUFNiy0smdS2F3bgwlLmS0S5edaDRNs9VAABh0GBGJ5vbbb7dlQASw\n", "JpcgxsrOzsbMzEy88847HRfiOXPmoGEYuHnzZtsCpCq+MX36dEumRGobpeklbUFmZiaapom6rmNp\n", "aaklPJEIe+rUqXjnnXdywYH8Gq688kpsbGzEQCDAJeusrCwcO3asMqvWzJkzMTMzE0tKSnDHjh1c\n", "chZ3D6Zp4h133IE33XQT3/mLkwy9B4UoujGTGCVQVlZm6Y8pU6ZYhMG2tjbXHQs91yk/Oml6br75\n", "ZotELyZUSfYCNIILEyJ9JYKhJO9xQmNjY8yFlwixlO+NJjyfL4jJo2gzkkifl5aW8vlbjhKZMmVK\n", "THkBkgFydneCGN0FYNUyJETjyWIswurVqx3DNmh3nJmZaXHi2Lx5syXNp+wo19XVxbUAtHjccMMN\n", "FsYhs8TEiRNtKZWpc2nxopoFjDEecUAgtXlzczOaponz58+3FO+g61RFo6KpiogRiDEo/FHFJHl5\n", "ecgYU+7WAexOfapnZWVlWUw2qudQX6gWZbpWjDgAsIeDUrQHOY7KKlcx9TOA1am0u7ubj7eu6xgM\n", "BnnfkkqO2iJ7e99www2oaRrW1NTY2i+rIC+77LKEGGsEFy9k/o93sm9ubrbMWTKPqTYbNTU1UUuz\n", "OyFaHgH5vrGEPQ8Fsaj5aSN0viBGs50vuGkc4nGMlHPSRMv1ICMhGk8GY23ZssUWNrNo0SKLqovU\n", "xG5VGMUEG1u2bHGUKGMZjMLCQpw6dapNQ6EqukMmCLca3aQRUWkrKOEPQdd13LJlC9bU1PB3oB08\n", "ZXzcvn07v55ME4wx7Orqsr33jTfeiG1tbfw3ZOO/+uqrUdd1nDdvHk6YMAEZY7hu3TrHyY127JSq\n", "mcwBpPEIBAI8soKkcNnUQD4OTpOC+OyNGzdawixFbY08hnIfOoGED9Wkyhiz+bjMnz+f02GyF6AR\n", "XJhQCdkyD8a7A50xY0Zc18cKMcybkGhRI1Xqd6f2kznVaa5UPYc0GdSHNEeotMfD5VMwHIinxkQs\n", "SZ8SRSI0nhTGoobLpSzz8vLw3nvvtWS6EwmnqanJRoBiTn/ZLq3C9u3bXetoh0IhzMzMtJXrffjh\n", "h6Pe281GxhjDq6++mqfxXbx4Maanp2N9fT1nACpH/R//8R+o6zp32olWnpRC9VTf/fCHP0QANVOp\n", "hC6v14uTJ092Tb5Bfa1iSlrAGWN43333cbMH9eELL7xguZ5MP2RLlbUHJMw4tYPySZAA8OMf/9jm\n", "K3HbbbfxtjrZ9dLT07mNkhg82QvQCC5MEM2oyt4WFxcP2eYcC1RZVWMBJQVLFLH4SnzwwQfD9r7J\n", "VPHL8+PSpUvxk08+Oa/PnDZtmm0TE61WjhMSofGkhiv+5S9/sXzOz8+Hffv2ga7r/JxhGPz/0tJS\n", "KCwstPwmNzeX/19SUhL1mb29vVBWVub4fVZWFpw6dQry8vJsv4t2yKF24oGIUFRUBF988QUADIbn\n", "9fT0QGFhIX8HXdehpKQE3nnnHfD5fDxM5ezZs5Z7ySEupaWljuFIe/fuBYDB8CLxYIwp++vs2bPw\n", "0UcfwZEjR9xeFb744gsIhUKWsQI4F/6JiDAwMACBQIC37csvv7SFgdK707gWFRXx73Rdh7feess1\n", "1Kq3t5f3LQDAZ599xt+Zjs8//xxSUlIAAODjjz+23YMxBqdOnYLTp08DwCAdjhwjR7RDFTp26NAh\n", "GDdunPJ6xhgEAgHLuXhD+i655JKYrpNDFmfOnBnXc1RHeno6CUaux/LlyxN+Fh1iCPo3fSxYsMDy\n", "ubi4GLZt23ZenkVz+j//+U84deqU5Tual6Idcih3QkcyJO5JkybZwl9k6YzU5W6hHqKan5w0VGYD\n", "lWQve+i2t7crzRGqmgD19fWo67prXm6qXbB161Zbm1TevuvWrbMkKaLfkF8Befzrus79BTwej2Vn\n", "T22/7rrrcNu2bdjZ2Wnppx07dmBqaiqWlJRwU0VjYyOmpaUpd+XFxcWo6zp6PB6cNWsWHyPy1aCs\n", "hB0dHdjV1WXx6ZD7WbaPqTykxWRVYtghwOBOSezHdevWxSQ1k8lB9Ty/348bN260ZGkU0ywne2c6\n", "ggsTRI+x0J8bRBqONYmNG1RaATczqltUA2kpY9HC0lyhOu9WdM0JBQUFlhBHMl2oUjoPBSqtxzdd\n", "MCrW8MuWlpa4+l1MlZwQjSeLsQCsdifGGHZ2dmJ9fb2lxLEoGNxwww02L80f/OAH/P9YvHLnzZvH\n", "1esqkH1LdkhU+RrIiBY+9PTTT3MnSlIPLV68mC/gPp8PV69ejZdffjmWlZU5OifKKnwnh0MAq0Oe\n", "2E7TNG1VDQkejyeqylDXdRw7dqytjeKYbtmyxcLMy5YtswlTZBoihydREPP5fFGdJgnk0zFt2jSb\n", "EDJhwgQe3qMSgOgcjQ35vyR7ARrBhQknGqTFxYl3GhoabLQpCvaxmCAYY0q/ARky3wxHdMEf//hH\n", "5Vwifo5WsVSFWBdJGefbzCBvKGOJghpqDomh9Fs0JETjyWKseONLVYuuShp+7rnn+P/jx4/HSCRi\n", "82UAGFyAROe2srIy2/1kbYUojf34xz/GvLw8vuCo3qeyshJN04w7jMgN5Gnf2dmJP/rRjyzfiQ4t\n", "4ruIbZM99QEAr7rqKly4cKHNtrV9+3a84oor8De/+Q1WVlZyAUbODV5WVoZ5eXk8cZHKe1auavjM\n", "M8/w/1XMJDpbAgw6YcpCoVssL+04VH4Quq5jQ0MD/u53v7PtaMS+SvYCNIILE8PFyyo8+eSTtnOq\n", "DUKi6Ybl6Co3DGftBFFgmTlzZty/H0oUyGOPPTbs4yRX75UhOyJSBNVwtuGWW25x/T4RGk+aj4FT\n", "6mDV4fV6bbZsgHP+B6Jt5a233uKfU1JSIBAI2Oza9J1ouw6FQuDxeGzPFY++vj7e7s8//xw8Hg+E\n", "QiFgjFl8IahN2dnZoOu6MkXpUA7GGH+3np4eW0pjMUWp2B5qM2MMTNO03TcjIwOysrJsKaj/9a9/\n", "QUZGBuzfvx88Hg8fA/ld/X4/aJrGn5+VlWV7xv9OqPzYvXs3/z9a+lKAQf8NGh/qA9leKx6UZlpu\n", "K53z+Xzw7rvv2r6Phy5HjpFjuI8bb7zRdk7l3yT7WsV7uPlDyUdDQ0NCzxKP8ePH8/9l/4pYeC8z\n", "M9N2zjRNSE9Pd7yeUjRHO+T5z+34wx/+4Pr99OnTLZ8ZYzBp0qSY7x/L8dhjjw3r/SxHMiTuG264\n", "wWa72rZtm2XHSj4IYhSCWAERYHBHTp+7uroc1TixxAmHQiGsqamxRAgAqIt4UNvknbMIysEg2q8J\n", "5H9A7xQKhbCrqws7Ojr4O5CKkZKgUNgPAFgyfG3dutX23l1dXVhTU8M1FZQEo7W1FRljuHnzZrz6\n", "6qvRNE286aabHLU34q6EskcCnAtJLC0txYULF2IoFOKqMNkOWFVVxd9T9QwqWKTrOu7YscOyw7/y\n", "yiuVbaF3dGqrCOp/p/S0ubm5FltvXV0dp8Nk70xHcGFCZd6StVcPPfRQXLu/8xV2p8pUqtIaxgMx\n", "+VC09pMpU1T7i7yqCvGjeznNGWlpadwHYqglrQnD6Vsg539w0+oM53irxhgAMBEaTwpjiY1/+eWX\n", "8eWXX1a+2J133qkcwObmZotgIXdyIBDAJ554wnLupptuwl/84he2Z9x44422jpU/i8SnEj5CoRBq\n", "moYejwcPHTqkVDOpyn1Gi3uldybmclNFkSChYlrqs1iIrLm5GTVNcyRqWuijqRcpbTGAvS78/fff\n", "jwCADzzwgPK3VEOBQGlbAQD/8z//06L+b2ho4MLTgw8+aPmdnKO9pKSEl5CWnylPMH/4wx8SYqwR\n", "XLwQ6aS9vd1RLZ+I6lg2xxmGoXQEHO4SyTj4gknDN+0EOBSQL0i0qrcqqBzP6Z2H08+gu7sbE6Lx\n", "ZDAWLTpifGYoFMKVK1diZWUlTps2jS/24g505cqVll0kgFVKk9Msq3DZZZe5Xrd06VLUNI1nr6JB\n", "ExcZJ0/baPkG5s+fjw0NDajrOobDYdQ0DZcvX84jD2pqarC7uxsjkQi2trbyLIRiMSgAqxYiEAg4\n", "vg9jTLlTTk1NxcLCQuzu7lZOLH6/P+qk5vV6ce7cubZoErEA0uR0VxY0AAAgAElEQVTJky0an3Hj\n", "xtnyI9C7L1++HA3DsLxLeXl5TBkbAYA7rDY0NNg8dRsaGjhDqgS7nJwcZIzxHAekkUn2AjSCCxNO\n", "tEgl4Z0Wt6amJpsGUdSSqhIHqeC2oSANnCoSK1Go3qumpsbCb6IfVqyIljPFCXI64HgxHGWhSYCj\n", "v7EUjFIhWsRFPG0lOkyIxpPJWFSbgBYhTdNwxYoVfFcqL8Ber9fmuSuqqMRJXyV9Mcb4wkznVI49\n", "69evty1IsYTtbNq0yXFSKCkpwbS0NJ6tcenSpbhp0yb0+XyW3xiGwb3i77nnHgQAW8VEGbquWxwp\n", "RVBCJTFLpPg7+dyCBQvw6aef5hkXneBUg4BQUVHBNR3E+M3NzdjW1sb71u/3c4KncZDb9Pjjj7s6\n", "GS5btgwLCwsxEAhgdnY2zpgxg6dtJohOmSrPaoBBjRJpVUj7k+wFaAQXJohmVPVFLoQd71Cr8kXb\n", "2MiItnmgeTwRxNsmAMDf/va3UcMk48lSmAhUpmgRKnpx69e///3vyvMqs3ZCNJ4MxiLCFRmrrKwM\n", "u7q6sKSkBBsbG3l4jaiW7+josGU+JAnNNM2Ycnw3NDTYshqKg3TFFVegYRj8Oap4XqeYY5EY5QFn\n", "jGFTUxPW1tZiamoqhsNh1HUdFy1ahEuWLEHTNLGtrQ2vuOIKLC4uxo6ODkxLS+MRGaK5RJQuw+Ew\n", "dnZ2WiRK0zSRMYamaWJBQQH3zaA2lZaW4ujRo3HhwoU2QYtKQ0cLnQoEAtjZ2WmTkGlnzhjDSCTC\n", "y18DDJpE5NAkqkq5ePFiTEtLs2SynDBhgqMfBwmBdG8SpiorK22hWdXV1byIk2qiobLaFK5I2odk\n", "L0AjuDDhxBOqokTiPJCWlmYze4rfu2VkFeHmmU/5Fb6pVMGjRo2yCAD0DvGYONx8tdzg5DcUK1TC\n", "g6xRjBZ+SJplWh9UJuNYEE1QiccsNRzh1klhLHL0E1+G1OYygVMlQHGAaJGjxds0TaytrUXGGI4a\n", "NYozTjgcxqysLKV6Z8KECbyzGWO4ZcsWXL58uaUNPp8Pi4qK+Ln09HQ0TRMzMzOxoaEBOzs7sby8\n", "nCcBEu9fWlqKVVVVOHr0aFtebNF+SO8yatQoDAaDtprotOvOyMhAXddx/Pjx6PF4+HuJaZhJhVRT\n", "U4NLlizhO3OKe45EInjVVVehz+fjqYRTUlLwuuuuw7a2NpswMH36dJw2bRo2NTXhwoULsbu7Gxlj\n", "nPg1TUO/34+rV6/GlpYWHD9+POq6bjEvkMAi5qYQ+4CSJDHGMD09nb9/e3u7hXE7Ozu5r4KmaRiJ\n", "RFxThaakpCBjjGtbRL8Jr9eLubm5OG7cOJwwYYLlvceMGcPbkOwFaAQXJhJZjEQkosqWhYNnn31W\n", "6ejshlgX7+E0S4jv7CbgiH5eYjtVCef27NnjuJGhOd4wDEshPhGUjt1tPOItCS37H/j9/iEle0oE\n", "CdF4shkrEok4Dirt/C677DKLSubKK6+0xLTfcccdFmK79dZbMT09HfPz8/nufuLEiRZbVigUwoyM\n", "DCwqKrIlCCKCJZszefGmpqbyPPwkqBQXF+Mtt9yCGzZsQE3TsKysjC/EJPwEAgGlrTxaTC4tUCT9\n", "79ixgxNXMBi0MAyp0kWnPxHUXtVkYJompqam4owZMyy1DuidqZ2MMd7vKhUYMfOoUaMsphwSQugz\n", "ZVok4U/OcTB79myLoEUOg36/HyORCI/QIG0I2VXpL/0vJ4IhU8/y5cuxsLDQMhHIk0Jubm5CjDWC\n", "ixdDmaTFHZ+u65YdouhcK843sSJa8iJRUJeL1wEMZkoVNXnnyxwSTa3+TSBRLYMK8TqADtXJkHw5\n", "YjWvJETjyWAsTdNsqhOZGMVF0+/3K1U6tNBTyB8A4KxZs/gkX1dXh6WlpZbwPsK8efO4KYMxhmvX\n", "rrWpgUhbQZ9LSkrQMAzUNA07Ojpwzpw5WFdXx9X28uDX19djZWUlV5cTVGo+WWMitoHeUdM07rFf\n", "Xl6OK1assBAlaUZCoRA2Nzfz70jVl52dbQtPZIzhzp07sauryya8dHd345IlS3DRokW4aNEiHmYp\n", "RzisWLECL7vsMm5GUKVmlUspi1UnSTAUF2c5umLTpk18t8AYw9TUVNfKmyR0iLsEUdAKh8M8yZXY\n", "H+LOINkL0AguTAxlUk8Eqp2snIwsXtNBPNoKp532UCCaDYaSBvpnP/uZ7dwDDzygTFGtaRpmZ2fz\n", "edBpvqC+cFvg3SrpqiCblYqLi+O+RzREE0gSovFkMBYNRHNzMzLG0OPxYCAQwKamJpw6dSpOmzYN\n", "/X4/+nw+i9p93LhxOHnyZDQMg6vgJ06cyNXElGufMWZjFLqmra3NYsujHTjdr6qqCiORCFf/a5pm\n", "KQFMO1fx3vTb1tZWZb0AgEEb0qhRo3D+/Pno9Xqxq6sLKysrsa2tDSORCI9UaG5uxsbGRiwqKsK2\n", "tjY0DINHMNACJu6M09LSsL6+nkv8JEBQmyZPnowkiNHvKdVwY2Ojjbhyc3OxubnZMbMXvdukSZOw\n", "rKzMJuCRVJuXl8e9sGlHM378eBwzZgzvP5/Px2lg5syZaJomNjc382dkZ2djS0uLRWAh2qFr8vPz\n", "MRQK4dSpU9Hv9+PkyZO51oSEtZkzZ2JZWRnquq6042ZmZmJRUREXPJqbm9E0zYQYawQXL5wmYsYY\n", "+nw+RxOXrus2tbzoKBhLOl03YVjEUOoKxJJVkHiEcn/IKddFgWM4Mv25LX5umo1o0UxDCfNUCVN0\n", "jswRch/Gqn0hTYbP57O1LdZcDa+//rqlTQnReDIZKxAIYF1dnUWVLzKHXK+AUFRUZFHHyINhGIal\n", "hgLAIEOJ9mMChcmpiF9F4CriIGe/lpYWnDRpkjIlMDEStdXv9zvWKpALD1H/uBEzlaqWGZUmHjEn\n", "hBvuuecejEQiyhoLIsO5RQoAWJM4kfmFMYaapvGoASfVoth/ubm5lnwHY8aMsYzBnXfeyQsf3Xbb\n", "bahpGt9NkYROfZ6WluYYTrR161bLfVesWJEQY43g4oVMO04L6lDS9xJi1QC4LVbDCdW7xNrGWGoa\n", "iJsdFShXSTRQFFaiEH0E5DwspOGMdXx37tzp+N2cOXO4UDGUvAgEOfcOYwwTovFkM1YsRLxr1y7L\n", "Qh8MBi2ONmIoXklJCZ/8u7q68Nprr+XOi+KzWlpauENcS0uLsh0ULkjS3Pz583k9AFo4V65cic3N\n", "zXzhp10DAPCFf6hxujJaW1u55mLmzJk2h5i5c+dG3XWoiC83NxfHjx+Pd911l+W8aZo4YcIELCgo\n", "4JodlcqOhC2KYb7++utt18iTiKhWkwtU+Xw+m5QcCASwoaEBNU3jvgOrVq1yfM/Ozk7bM0m7sWPH\n", "Dly9enXUCSvZC9AILkzEy7dXXHHFkCb94uJiV6e3aLvRWKK0SLOg2t0P17wVK2TzSLxQmRniAa0B\n", "8UYWxOuYmOjvxowZE1PhqYRoPBmMtWzZMluIyt13381tTowxvuMUJUXZ10B0jBs3blxMTh2MMeV1\n", "hmFgeno6t4/T7lyOKAA4V7zCbQdPKnXR7ECEJzrbBQIBDIfDOG7cONywYQPvFwqDIVuVyOT33nsv\n", "///GG2+0qc3Gjx+PGRkZPGqDBBsipvvuuw/vvvtuTE9P55qGaBDTUdMYTJw4Ebdt24a6rvNxoLBA\n", "6utohVKIOQKBAG7cuNGyWLsVCRk3bpzls9PuhfrfSVPg9Xq5NoUxhpmZmVwVnOwFaAQXJlQLssxH\n", "Yhh1vBP/+QYlFRsqnHhNdIpzE1pE3o21eqqISZMmcb+tWCpSuiHRlMoiZLOqPEedL9BaISMRGk8K\n", "Y1HDMzMzsba2lktoFLJGhEepRk3TxLS0NNQ0DQ3DwGnTpnFJ1zAMbnejhbe8vBynTJliCVEbPXo0\n", "NjY2cg95Qmdnp21A58yZg6ZpcqaORCLcr0GW1Cg8LysrC2fNmsWzFlK76b3WrFmDmqZxlU9ZWRn3\n", "IRCZSNM0rnEgiZ1KFYfDYSXDMcZw1apVqGmaTdolB0u3VJyk4vf7/bxvyTlQ1qSQ46FqoaVrPR4P\n", "rlixgr8/Ea7X60Wv18uFrfb2dj7mJGTRO1DbqJ+onXV1dfydNE3DKVOm4Ny5c9EwDJw6dSoGg0Fu\n", "xyU/CRIEJ06ciHV1dTyFtdj2lpYWPjbku5LsBWgEFyZinbCd1OOxqKBjtU2r/BmGmheA5l3Vs+VK\n", "rsTnsdxXjjpS4Yc//KHr97GGYsYqiEXrX3FTQlpiefyc3l++t1s/GYZhcYIfSv86ISEaTyZjbdiw\n", "ge/SqGNmz57NiV0mcF3XbVm9nOz/suqOFj95cVVpD2677Tabg2EsHrTbt2+3FXoi1NTUoM/nw6am\n", "JgQYXLTuuecem9ZBXNwpu6C4C3ciRFqo5WeTUCGnkpb7i7B27Vr81a9+ZfERUCGaz0JDQwMfR2pb\n", "VVUVNjY2ckGM8hcQg1D7xXf40Y9+ZNHayO+3detWrKqqQtM0sbS0FJuamnhaZbpW9If461//qmzv\n", "o48+ysNLKclTshegEVyYcKLFCwXRwhedEG/GxGjZYIcqoCQCwzBw5cqVQzKpng+45VoBUAuPbnR1\n", "5MgR5XlVOu1EaDypNWY/+ugjYIxBb28vMMYgNzcXAoEAVFdX8xLDYunjkpISqKqqAtM0eendyspK\n", "/n9xcTEADJa47OvrszxL0zTQNA1qamogOzubn5fLOYdCIfjrX/8KtbW1/By1jf6n54nfAwAcPnwY\n", "GGPKEtGapkF+fj7U1NQAAEBVVRX8/ve/h6qqKsjIyACAwTLPhYWFYJomeL1eOHToEAAMlj8WnyOW\n", "J9U0DXJycuDkyZPK9zl79iwAAOzdu9fSXl3XIT8/39bOF198EZ577jletlg+6P4ff/wx+P1+Wxln\n", "Gq/e3l4oKioCr9cLhw8fBgCAgoIC8Pl8vIys2K/V1dUAMFhOVizv/MYbb1jKZsulWZ999lk4efIk\n", "VFVVwcmTJyEvLw96enoAAHjbLrnkEvD7/aDrOtxxxx3Kd3rooYegubkZAADy8vKU7z5yjBzioeLz\n", "1NRU2/wwnIeqjLh8nDhxYkj3bm1tjXpNOBwGAIBrr70W9u3b53rt//t//29I7RAPsZR8LMfZs2fh\n", "N7/5DTzwwAOu17W3tyfSrJiPgYEB1++//vpry2fTNG1l68U+oPlSPp5//nkoKioaYivtR1IEA2Kc\n", "P/3pT5CdnQ1ZWVmgaRqcPHkS/vznP8PevXtB13UIh8Og6zoEAgHIycmBo0ePwieffAJjxoyBiooK\n", "0DQNPvroI6itrQVN0+DLL78ETdOgoqICcnJyIBAIgNfrBcYYFBUVQWFhIezevRtOnDjBF4rKykrI\n", "zc0F0zTBMAzo7e2Fo0ePwkcffQR+v5/f77333gPDMKCiogJ0XQfDMEDTNEhJSYGKigooKiqCf/7z\n", "n5CZmQmjRo0CgHO1w/1+P1RXV8PBgwfh5ZdfBsMw4MUXX4SjR4/CoUOH4PTp06BpGui6DseOHYPd\n", "u3fDwMAAvPLKK6DrOvj9fmCMQVlZGX8faoPH44GvvvoKcnNzIRgM8n4xDAMYY/CnP/2J/0+CFv1/\n", "/PhxYIxBIBCAlJQUyM7Oht7eXnj11VfhzTffBMYYpKSkgK7r/J7f/va3gTEG77zzDvT39/N2M8Yg\n", "GAzCwMAAZGVlQXFxMfzjH/+AgYEByMzMBF3XYc+ePbBnzx7Izc0FTdOgpKQETp06BWVlZXDo0CHQ\n", "NA2OHz8O1dXV4PF4gDEGf/zjH8Hn84Gu6+Dz+SA3N5ffz+fzwalTpyAvLw/+9a9/QVZWFrz22mvw\n", "xz/+ETRNg6amJmCMwV/+8hfo7++HsWPHwptvvgnZ2dng8/lA0zTel0eOHIFXXnkFGGNw8uRJpdA0\n", "cowc4kFCt3icOHGCtAqOAoIsTCfyTJWgUFhYOKR7T5o0CQDU7V63bh0ADG7mAAB27doVVUjZsmUL\n", "AAAsXLgw6rOvv/565fnjx48DAFg2iNGOgwcPwoMPPqj8jt7tlVdecb3HhAkT+P+JLLi0uXM7xM1O\n", "X18fHDlyBAAAfD4fAJzrA9M0XQWNzz77bMjttB3JVMUBDKqkX3vtNaV6hKICQFKvRCIRi2pfVsd7\n", "PB787W9/azm3ZMkSpXp8+/btNm9YOdxQVM2p7INieuHnnntO6dWqKs0aLdaYnkX3cwsPoogAVWYz\n", "gEEvfbdnERYuXIgej8dRFUe2vmjpPcVsbosXL7Z8R+WvnWrWi+FBmqbh5s2bLfQitm327Nk8XPHp\n", "p5+23EcOqczNzXV0VqIcGIRnnnkmIVXcCC5eiHRimqZj2fhYPMedoArPU/Fkop78Mijb6wicQabN\n", "WBM/ifO2ylxDPgZyBsxEsG3bNkyIxpPFWPHE2obDYWWcJjlniJ3d3d3Nzy9evBhnzJhhK7wEMOjf\n", "QAuuYRhYUVFhW+xkp8b29nbOiGvWrMHs7GxctGgRmqZpax/AYKVC0zRtKZeHCtM0ebrUjo4O2+Sx\n", "evVqJQGKKY1VuSG+//3v46ZNm2wZC1tbW3HTpk3Y3d2NxcXF2NraiowxW2hTaWkppqWl8TBFORUx\n", "gL26o+iQpPIMprTHhLlz5/J+pPF1EoKo7XI/kHCZm5uLs2fP5nUjxN+Jgl+yF6ARXJgYrslbBZH+\n", "3OZIufZIvCAbeyzzsJy5NRGIOWJk+3ssFQ9VmyOx6J2Mjo6OmJ344injHM2/RJXnRc7mmiiitSEh\n", "Gk8mY4mV9BhjOGbMGOzu7rYkqRAJYe7cuTaGEDs7lnrmGzZscL2uoqICU1JSbCE9cqy9Cm7FRqjO\n", "AMXez5o1CwOBAM6aNYsvyB6PBydPnow33ngjpqam8qJIskZE1lpQxkXVc4kRxd8wxlDXdVviDnpW\n", "TU1N1AxrxcXFmJeXZ9vFkMMRYwy3b9+OmZmZvG1bt2619SMl96CwRlHbYhiG67sBnNtFUaroDRs2\n", "2CTvNWvW8PwLqthhigQhYYWYOtkL0AguTLhNzIFAgDu/ylBlPlSlD3dDLLkJAOyLrorX44Xf77c5\n", "a6v6YChZF52QSJKoRCE7fXd3d9vSwbv1Qzwg4aWpqcl2L1XCPLd7EBKi8WQw1pdffmlTt+/YscPS\n", "IbSAuBW9EFV1TlkEY4VhGJiXl2cjxIcffth27c0334wA7l68lNVPNahyVkZN0/Caa66xLMY0gdAu\n", "+d133+XfibttWhBFrF27FouKinD//v0IcK7qIu2wf/rTn/L/33///Zj7h/4ndbzf78fRo0ejaZpc\n", "kyInDYoWZyyO+QsvvGD5zi3RiNPkK4N2IU4q15ycHIuGY+zYsSPVFUcQDa50DJDcBU2EKolXom2L\n", "R9tL/fLkk0/G/RyxUJ5T+++7776k9zEhlo3pN4lEaDwpjEUNF9PuGoaBCxcuxMbGRlyyZAknKFHC\n", "XrNmjS2N7rXXXsv/j2WxuPzyy3mWQhWoCJN8L7EQkxNjRAuR2bJlC1/sKisrUdM0XLZsGZdMMzIy\n", "cNWqVTh9+nSsqalxDPeRQzRFE4IMlfRuGAbf2agk3WAwGDXPuc/nwwkTJtgSlIg7oBUrVljscPPn\n", "z7fVYCABpaurCxljFo1QamqqMtOiCjReU6dOtaVzbm1t5clGVKpIr9fLcxcAnNuVXQAL0AguQLjx\n", "BIBz9bx58+bZiuuI+UBIe+YGwzBctQzEz7KvQLxFllRQadvy8vIsm4ZoIYwqOKVfjwZV3ZPhhLyZ\n", "UAlUdI7mwaGGijppIoYCGuuEaPxCYiwndHd325hBXNDERayjo4P7CmzevBl37dqljFldsGABPvfc\n", "cwhgLwtMIDs3CQK//OUv+WJNi/n69evR6/Uq7eSkxp8yZcqwDLjf7+cL6WOPPWbbUcciGKk0GCUl\n", "JdjW1mbzDQiFQtje3o4tLS28eJRTgiWAcwuqqma6HK8rCloqe5zMKFlZWdyOSP4clOdBheeff96x\n", "nY2NjfjDH/4w6kSc7AVoBBcmhoOXY0EkEuFOxTIMw7CYYlWQeVXUNNJ3bnH25yNPA82lKj8klZ/W\n", "Nwm55Hw8fTsUOGVjBVBrgkXEsqYkROPJZKzRo0ej3++3SLdlZWVc4lFN3Jqmocfj4QPjpBaTvcy9\n", "Xi8Gg0GbFKiSvu+//36LVkB0dHTDxo0bMT09XXnt3LlzkTHGNSA1NTX42GOPKQmMvFQpY+D27duj\n", "PptMKbJ5gyT4u+++OyZifeSRR3D9+vU8MZIM6m83rQvAYGIl6ge6NhgMYlpaGrd3iuMr9oPYfx0d\n", "Hbht2zb+WR6/J554AufPn8/TL2dmZvL7Ul9Qf+q6jg8++KCyvc8++6xF+1FVVZUQY43g4kUsfJRM\n", "xKJ5cOPtWBGrM10sVRajLbSxvpOTFlRGPOaQoVRiFOFmcv7xj38c172csmmqImMSovFkMJZhGDYV\n", "sdz51Jm6rmNaWppNfa5pGk8Z7Pf7+eQ/YcIELlg0NTVhRUWFst7B/Pnz+SKt6zp2d3fbJLj09HQM\n", "BoOcYUpLSzEQCKDH48GpU6fipEmTsLm5GT0ej2XAGGOYlpaGLS0tGA6HbV69KlWjWDdcZBSSoj0e\n", "D3o8Hpw3bx4yxjAcDuP8+fMt/UKe/1lZWThhwgS+wBJT5eXl4fr16y2loQ3DwFtuuQVXrlxpSzs6\n", "c+ZMXLZsGba1teGMGTOwu7sbdV23mCd0XceFCxdifX09X6BloQzAqiEAAF4MCuBcCKSYQnr58uUW\n", "5l26dCnfIRmGgTk5Oa4q1dzcXJ5CWaax1NRUrK6uxhkzZmBtba3FBCSqS5O9AI3gwkQii8RwQVZZ\n", "n8+aDG7RP/FCFL7lKLBYFmtVBtenn37acQctalWdQqzluVaFeE0xshbUMIxhdcqMBQnReLIZKz09\n", "3VHCI0LZuXOnJS9BVVWVhVjJGRBgkEFuu+02ZIxhTU0NH6DCwkKLzT4jIwPr6upcd5FbtmxBgHMq\n", "8vLycty1axcCnBNcIpEIbt26FR9//HFOQKSuJ01ItJKisWLnzp38XkVFRbbJoKSkJGoKTtWugApI\n", "qcIqMzIyLAKLm/qLBK1o1clIA0Pju2PHDsv34XDYxogUJpmamorPPPMMAoBl0ZdRUVHBC1nJbX/i\n", "iSdw9OjRrhORpmkJMdYILl7Ey7dpaWn4l7/8xfF7eUcZb2EhJ691lbCgmh/8fn9UDeBwIFZ/oaEi\n", "Wm6V84V4U0nLzufxwq2Ms4iEaDwZjEUTsrjbTUtLw+uuuw6zsrJwzJgxfGEQd5bd3d026VWs3ic7\n", "JqpQW1trUU3LoGQ6s2bNspwXJcBokqcTFixYgIWFhahpGvfWX7RoESeUUaNG4dq1a7G4uBgXLlxo\n", "KbAk3ruqqsrSFidCY4wpowIyMzMxHA7j+vXrlZOHqFFwgqZpeN1119mkYFGib2xstPg91NTU2CYx\n", "ch5duHAhmqZpyc1QW1sbcwwyhSiWlJTYBLHi4mL+HNUY0e6LolyoDclegEZwYcKJBqOVKc7NzXUV\n", "RqOFCBPcBG8qfvZN1XEwTdMyV1IfxPN82SE5VrS0tCTUdpXvmTw+0RZ92nzQfDnUUtXR5rl4hEVa\n", "HxKi8WQw1po1a/Cll16yvExFRYXlMy3EbioySvYD4G6Hj2VxCYfDSocPVf4CWgzdds979uxBgMHQ\n", "QPk7VSnirVu3WtpJBEoLq7j4i4u93G/UF0uXLuWhPHSPX/7yl7yQFGlP2tvbHScrUQCqq6vjgpy4\n", "2Pt8PqypqeHOmPKEQJ9jkeZlj23Rn0CmA9LmRINIIzIYY3jDDTdwMxQAcM1Poow1gosXAGDLrDoU\n", "iFqxoZQfjgVDLUv87LPPIkDspYOdnkNzSzz+C9QXJODLzs0XA2LVIkczYchrm7gxS4jGk8VYhFdf\n", "fRWfeOIJ5UuLi7JIWNOmTbM4LMqdnJ6ejvfee6/l3L333otPPfWU7RmbNm2yqZzlMEFRClQtcDk5\n", "OWgYBpqmie+//77SDqZisGgVvoghaPEXFzAZJKyI6YNFxOq8E4lELOWqZZDAFo3RRWlefnca1zvu\n", "uMPyngQ5ukL0EXnxxRctk2h1dTWPgpCFQzkNNfkTqN5Nrp755JNPJsRYI7h4IdLJzp07HUPU4lUx\n", "i5Ad9jIzM5Ubl+HOl4CDL5g0JFpq+JsAbVKcwlLdtCXyunS+xrK5uRkTovFkM1ZBQYHjIkS27euv\n", "v96yk2tsbLQ4s4ke97qu465du1DTNCwtLeVe+VVVVRYGTklJwXA4jKZp8tz9MshpkEwUeXl53IuU\n", "iKO8vBzvuusufOSRR/h9yfZNznE+n29YVHsPPPAAn2wyMzNthJSTkxNVHanqa13XMSUlhWdlFJGS\n", "kmL5jSrMiEALdkNDg+v7apqGhmHw8ZV9GyKRiNIT2OfzYW5uLg9FpBBRlbklPz/fFh/d0dGBAIAP\n", "PvggVlZWurbRNM2EGGsEFy/i5VtN02ypyEXak7UFsZoUCHK6cRnis1T3LigoGLI6Px7EWltgqIgn\n", "0mA4Ee+CrkqaFw9i1eIkQuPsfwn9Gz1yc3Px1KlToGkafP3118AY41X7PvnkE/B6vVBcXAy7d++G\n", "9vZ2+O1vf8urCwIAfPrpp9Df3w+ZmZng8XjgyJEjUFhYCB6PB9577z3QNA36+/vBMAxeAZCqkuXn\n", "5/PKgqdOnQLDMODs2bO8JLBpmvDZZ59BXl4efPjhh1BQUAAHDx6EYDAIX331FZimCZFIBN566y3w\n", "+/1w5swZ6O/vB8YYpKWlwZEjR8AwDPD5fICIMDAwAIZhwMDAAJimCSkpKZCXlwdHjhyBQ4cOQXV1\n", "NfT19cHp06ehoaEB3n77bfj000+hsrISPvvsM8jJyYGPP/4YAoEAfPnll2CaJhQXF8P7778PHo8H\n", "pk6dCm+99RZ8/vnnMDAwAL29vVBaWgoDAwO80lthYSG89957kJqaCn19fZCZmQmZmZlw4sQJ+Prr\n", "r+Hs2bPQ29sLPT09gIjg9XohJSUFvvjiC/D5fNDT08OrEQe3d3IAACAASURBVFKfBQIByM3Nhby8\n", "PNi7dy98/fXXYBgGlJeXw/vvvw8DAwPg9XqhoKAAPvjgA/B4PKDrOn9XRATGGIwePRr27t0Ll156\n", "KRw9ehRSUlLg73//O/h8Pqirq4O9e/dCT08Pr7Z46tQpAAAoLy+Hjz/+GGCQA6CiogL2798P6enp\n", "MDAwAMeOHQOPxwM+nw/8fj9kZ2fDe++9B4wxTguMMTBNE5qamuDll1+G0tJSOHLkCJSXl8Obb74J\n", "Z8+ePX/1c0eO/7PH/y608jkwDIOXe/f7/dDT0wO33HILbNq0Kdb7wjcxH9OcN9QjEAhwPvR4PNDX\n", "1weICA8++CCsXLkSEBE0TYOBgYGo77Rx40a49dZb426DruvQ398/5Hego7S0lM8jAPGPQSgUgq++\n", "+gp8Ph+vkksVEMV+inYkMvYVFRXw/vvv889erxfOnDkDiDj0+SuZEveCBQtQ0zQMBoPIGMP8/Hxc\n", "tGgRTpo0iTvOieq4iooKbGhosDjljR49mv9Pjm0qpztyqJsxY4bFO1Y2G6SmpuKcOXMszoaMMdtn\n", "8Tf0mcL5VLvd6upqrKio4Grv9evX49SpUzESifC0pV6vF0tLS3Hy5Mno9Xq5E5wc/idKxpqmYX5+\n", "PpfGZemVQvzknAG6rtvCE+m6ZcuW2YoYyc9evXo1BgIBm+2fxqu6uhrHjh2LPp+PZyhrbW3Fyy67\n", "jIcFhUIhnrKYtCzFxcWWUMply5ZZkkfJ7zdmzBgsKCjASCSCGRkZOGfOHN7HYh2FQCCAuq4rQ690\n", "Xcdx48bx3xUWFqLf709I4h7BxQuiG5X/U1ZW1nnducaiah+qOj6WnSiZLG+88caoWtBY8q9Eg5v5\n", "1Am5ubmuyc8A1NVuzwdiKQwlwuv12n4jZv+Nx3k1IRpPJmPFijfeeMMSSaDrusW+I3rGFxcXcxX+\n", "8uXLcefOnRZBgtDQ0MDNE04qrt27dyPAOeFh69atfJEmu/+KFSuwoqLCooanwaOFJtYiGNEQiUS4\n", "aeT73/++rSBLW1tbVGZV1QwIBAJYU1NjKXNN71FbW2upxOZmNyW/D1U1NpmgxcgKOVGKpmnKPBfU\n", "52QSEIttybjnnntsfUFtv/POO/Gmm25ytBEOB2ON4OJFvHz7+uuvD0lY0HXdNcVuNB+lU6dO2e6n\n", "esZwzE0XApxSyMeLbyqiw80h2y2pksfjieldE6LxZDLWggULePEieuGZM2dy23BhYaFlkFJSUjA7\n", "O9sSA5+Xl8evoUWPMWZzKDQMAz0eD9bX11skatnpTNd13Lhxo4UhyZM/GiHdfPPN6PV6lTuJlpYW\n", "TEtL4ylOr7rqKly7di2mp6dbUnH6/X5sbGxExhgXhhYvXuxKsF6vly+W8m6hs7MTAdRJSlSLfGdn\n", "J27dutWSG0LuHwDAW265xTU98sSJEzEcDiNjjNtAI5EINjQ08L4sKCjg7SUtgs/ns/Tf2rVrLdEf\n", "ct8uWrQI6+vrMSMjAysqKnD8+PE8YyS938SJE5ExhoZhODpnrlq1ij/H6/ViZmZmQow1gosXMq1f\n", "aIjmc+CEeMrDG4YR1Rdi3rx5Sp6NB9Ey3MrQNA2bmpqUDuAiYs0FkCiiRZs4hYs7Xe8kDKqEjERo\n", "XIMkHvv27QPTNCEcDgMAQG9vL+zZswc++ugjAADIzc0lRgQAgK+//hq++OILyz2OHDnCryF7DiLy\n", "e9Kh6zqYpgnvvfce9Pb28vOZmZmW6/r7+6GkpAQOHz7MzyEiHDhwwPE96PknTpyAQCAAmmbv1tzc\n", "XDhx4gTs3r0bAABefvllGD16NBw/fpzb+xARenp64MMPPwREhP379wMAwLe+9S3Lc+TjzJkz/H3l\n", "Z+/ZswcAAMaPH2/73enTp23n2tra4OTJk7Bv3z7H9wUAOHr0qLI9dO6SSy6BAwcOACJCJBIBAIAP\n", "P/wQPvzwQ6ioqAAAgLy8PD4Wx44d420S3+Gjjz6CiRMn8s8ej8fyvO9973tw6aWXwrFjx6C2thbe\n", "ffddeOuttwBg0G4HALB3715O8EVFRcr3mTFjBvztb38DgMH+zMnJcX3/kWPkcOLHZB8HDx4c0u9u\n", "v/32mK89e/YstLe3u17z5JNPAsCgzTvaQbwqH9TH3/72t2Nq18qVK+Gvf/0rPProo67XrV+/Pqb7\n", "AQCYphnztfJx7Ngx8Pv9jt/v2rXLdo58FFRHT0+P8vzvfve7+BvndiRL4qYdXF5eHmZkZCBjDDVN\n", "Q9M0Udd11DQNS0pK0DAMrKmpwZaWFu4nMH36dGxpaUHDMFDTNFyyZAn/TSgUwo6ODszOzuYJdXw+\n", "H1ZWVmJpaSk3K1RXV2NGRgaWl5fjmDFjuD8DY4x7/FdVVSFjDFtbW5ExhllZWbhw4ULUNA2zsrK4\n", "BmLWrFnY3t6OOTk5mJWVhc3Nzfx3mqZhVVUVVldX84x/uq7zugH0DuSbQKGCjDEMhUKo6zoWFBQg\n", "Ywzb2tqwtLSUtzE7OxtN00TGGJaVlWEkEsFIJIK6rvP4V9M0+Q5Y0zSuhRGfU1FRgfX19Th58mRM\n", "TU1Fv9+PmZmZ6PP5sK6uDlNTU9Hj8WBqairPeyCOGdnvI5EIMsZw8uTJWFZWxu+fn5+Pqamp/Jk5\n", "OTkYDAaxqKgIdV3HK664go+LpmnY2NiIxcXFqGkaer1eTE9Px1AohOFwGAsKCrChoQF1XcfKykoM\n", "hUK8XDaNm2mamJqailOnTuWfGWO4cOFC9Pl8OHHiRKyoqOARFzQePp+Pf87NzU1I4h7BxQsYws5R\n", "3AWmp6dbdsDyTt0toychHm2FuCslzaLYrvLycpuGFMBq7hsORPMXSMSsQTwvn5dV8m6aX7o23qqN\n", "VKdmuCFrdJcvX658JyckROPJZCyPx4OTJ0+2JPyhSRzgXLIGj8djIarFixfzErkA9tLCkUiEFy2i\n", "e7W3t/OSygDnGGv58uU2ldjYsWORMcYZiqoLqpiFajbk5eVhXV0dTp06lSfiEAeQwivpnsFgEJua\n", "mpQDSm0kJxTKLOaWa3vhwoXIGOOmA7GPAcCxShuBzBgtLS2Yl5dnceQUr6OxUqkR6VrDMPDKK6/k\n", "n8mMQeNBKkZS+cvqNvEdQqGQRTU6ffp0biZijOG4ceN4cqU5c+ZYhCKqJkfjMGfOHCwqKlKm4W5o\n", "aLBMoHPnzk2IsUZw8cKJ7mU4JUCrqamJurDLi4JpmkqnQjc/m6FCVTp58uTJQ75fLMl8qEaJbNqV\n", "57FoiLdfnSCOnVw5lwQQpxLTlEGVoKqBI6KsrIyPsXieis0R4qnX4PP5MCEavxAYKxqmT5/u6oQj\n", "dui1117LB2LDhg148803844XsXTpUvzNb36DAMC1DfI1sl3+qaee4oNz7bXXImMMv//97/PdqtPv\n", "hytGWNd17tD461//2pa2OZayyypirqiowNmzZ9tKHefk5GBHRwd2dnZybYzqntR3FAEh70oA7AVK\n", "KLkRgFqKnzZtmuVzcXExFwBoDNxSW//Xf/2X43elpaV40003RZ3skr0AjeDCxHDwcixzWX5+vqNX\n", "u8/nsyR5iwXizpZ4+ZuuL0B+YA888IDtu+FyHhQxVM1KNKgiuqJB1oiIBdtkkHbACU4ClIiEaDyZ\n", "jMUYwzVr1uDvf/975YvdeeedygGura21MIw8oB6PB3/5y19azs2ePVu5cG7dutXGHPLOXPT+V6m7\n", "yASRnZ2Nu3btUjIsORCK7xMtPIgWQNqlu0mMtAtXVZKMhdAIq1atwmAw6DhhEEFGY2IxSkNO7vKz\n", "n/0MAYAXpJIh5oI3DANvvfVW/vn/Y+/No6wqrv3xfe7Ut+eB7gZ6fnQ/6Af9ujvYAg/6C7KYHwh0\n", "ZOo0qP1EkB9BIaDAQxF1ORsRXWLihD6+0Tjw1PgTjSYOGYwaJRqj8ZfoC45PDYoRBWXavz8uVZyh\n", "zjl1xjp9qc9an7XuPUOdOnV2Tbt27b1q1SrN9z7jjDPw+uuvRwDA+++/XyMr+ghnlZWVpoFcpk+f\n", "bsij6A5IMprUy46ZIZvewZYTnn/++YZjrE7Ob1fKPCGSRZB3mcGvXRbqiaJedU/aUv1EyozqiQ9r\n", "qzuJB2RmGO2Gs2fPRk8yLrJiTZs2DZPJJJaVlaGiKFhRUYGnnnoqjhgxgq5NE9UP2WkwZMgQzMvL\n", "ox9ryJAhVBjIKI6sEasLKpVKYU5ODnZ2dmpmr2T9nvwvKCjAnp4ezeAgkUjQSk7WzfXCqCgKrl69\n", "GnNycpid6qhRo7CqqooucaxYsQJnzZqFTU1NtJNNp9M4YMAA7OjowJycHDrCJ509EVa10MbjcezX\n", "rx+d/epVZWS/rtoXAvFjwOokR40ahWeeeaaphTJR6a1atcqwgwAANCGvhw4dijk5ObQCnXTSSdje\n", "3k4HF5WVlVhRUUFtPgBA880TiQR2d3drvkUqldKUf2dnJzY1NWFTUxNWVVXh+PHjqXdGosKcNm0a\n", "ptNpTKfT2NXVxfx+p5xyCl3CqKysxJKSEk8VSzJ7adUgB739j2cG7HTvPOEtt9xiew0ZOIwfP952\n", "hk18oXgpE971dDVLS0vxlVdesbxGrbEMkk41MsQOzawMrL6/flDnScZFVKzCwkJUFEUz2h06dCj2\n", "9PRQZzVkz7p6pj116lTN2k8sFqOz87y8PKYKW8/m5mbm2h8xhpw3bx4mk0l6DSls9aiP2BnoP5La\n", "R4DeloH4BGhqasIBAwZgfX09dbgzf/58zMvLw+7ubuzq6sLKyko87bTTsLi4GIuLi6nLYpK2eibc\n", "3t6O06dP1wwWiDFgOp3GiooKzMnJoW6ISf47Oztx1qxZBl8IiqJgXl6erUYgPz8fTzvtNJw5c6am\n", "HNT2BI2NjZqOuKGhwbAkRJZG5s2bh/3799fYF0yZMgWJrOifT8qavDeZ8dfV1Wm29CiKgoMGDaIa\n", "FX2lUxQFOzs7MRaLYWtrK8ZiMSpzojsgyWjSrE7ol78AtP70c3JyLDtJHvWwXedABvth+SdoaGig\n", "bWM6nabv4CTUvJO1czVZy7dOWFhYaBh46JdL7WwSiDaU2CGoJzFOljHsgl3pl2KtSPpBTzIusmKR\n", "gBKkAPv374/XXnstLWxipU6ub2trMxhkqNfv1YaBZh9lzZo1lqqdwsJCbGpqMlRylmpPT73qWs1k\n", "MokzZsygM/GVK1diQ0MD3YMPcNxC+KabbsJEIkGN8+w66fr6eqbjIoDjak6W4LHW9ktKSrCnp8eg\n", "Wtdz/PjxmJOTYyg/UtFSqRRV+5PKtWnTJrzhhhs0sQ3IwIR4ZlQb7iiKguvWrbOsnOXl5RiPx3Hk\n", "yJEYi8XwyiuvxKuvvlpzzSWXXEIbH7P3qquro46WyIxLdAckGU0SmWGpkru7uz13WFZ0uzxh1j44\n", "JekArbQFxMGZH34ezJZGw6B+kDBq1CiDXZcdnS7NLF261CBXvGWgbyc9ybjIisXLYcOGWRawevBw\n", "4403UoFcvnw5rly5ktlhL1myhIYlJtoC/TX6+7Zt26Zx8BOLxaj1PUtlRHYC+BUuVFEUPO+88xAg\n", "E/1PbzfA8jioJ6sxa21txblz5xp2GjQ1NeH8+fNxzZo1mEgkaCfOGgwoioJnnnkmArCtsfXGOg89\n", "9BD9zdrGpI8k19LSQncZkG9gtU3owQcfND1XUlKCK1eupNoKM4rugCSjST/qshnVO5XMIoECZDoc\n", "pzNt9USAtE08nbefLp6JRmHmzJmGNtet5sDqPRRF4U7XybLFL3/5S8f50XfcVs8bOHCgZfo8GiFP\n", "Mi66Yumj97Fe/vzzz9cYoA0ePBjHjRtH/6v9+hcXF+O5556LsVgMJ0yYgFOnTsVEIoHl5eWaEeCw\n", "YcNwxIgRdGsdKw9kBjlp0iQEyKjtN27ciADHVXbTp0/Hs88+m65ZpVIpOuvt6elBgMwo24/KtWzZ\n", "Mlq5m5ubNTMTYsxoZlynLh/9sbKyMmxpaTH4Nie+CYqKiujgiWUwqY5bAZBZHlBXDPXWTwCgfhDI\n", "9928ebMmvZqaGsOSQyqVwoaGBszPzzd8F7UGglzf0tJisPoloaCvueYanDJliuUsKh6Pe6pYktlL\n", "p/W2rKzMcseQ3oCQtFO8M26rwYP+mF7jEI/HMZVKaQy99fnwi35pLcx4+eWX+5KOU42PXVwGPb2G\n", "lt66dSvXdZ5kvC9ULL3BoJ7q0dPGjRtpRVm9ejVu2rSJuee+t7eXzlqJ4x39NXrXog8//DDt4Nat\n", "W4eKouDSpUupMyL9/WQ3AY/tAw9jsRjVCuzcuZOumxOywibryfKF0NTUhLNmzTI4VhkwYAB2dXXh\n", "mWeeibFYzHQdjBhkkrV5lupLrxW444476G/W6Fiv8m9oaKCaF/INLrzwQtP3/PWvf216rn///rhx\n", "40ZbtaDoDkgymvSjLptR3Y4UFBSYakpTqZTj8MxkOzGpAwDujPu8kLyPuv4T8voYcEreAZYTuwz9\n", "krab9K3sCvS72PTkseHwJOMiK1ZzczNWVlZqIgM2NTXRQcC4ceOoUxwS6yA3NxcHDRpEr8nLy6OF\n", "pHYepI9IOGDAAKypqcGKigrNByJr5WohWrVqFY34CJAZ0ZNnsJYMCgoKMJlM4vnnn4/V1dXUb4Ja\n", "IL///e9jMpmklbmzsxOXLVtGve2R69Uqe7Jvf/Xq1fRdzQSORGLUO9cgfgvOOussw336RoEY3nV1\n", "dZkuS5AGZdmyZZbqu6VLl9JGjix5lJWVYVlZGV1q6OzspB4fSbkmEgnNTH/s2LGaAdDAgQM12odF\n", "ixbh7NmzMZ1O4/jx47GqqooOcMi7E2+RVVVV2NXVxWwAenp6qMFrIpHA9vZ2TxVLMnvptEMIm2TJ\n", "zSmtJjAsH/1WDtfU7QuPfZbdOrqZMyE9i4uLUVEUW2M9u8B2at83Tj0hmpWDWX790CaztBCeZLwv\n", "VKzvf//7ho+j7pTUHWZXVxftZC666CK8+eabmaqhefPm4XPPPYcAmc6e1ckRQ0Hy4R566CGqiifW\n", "8+effz5Vc+vvt1pzd0Oy3Q4A8L777jOo9Xk0BvqBA0Bm3W/KlCmGhqGgoACnTZuGnZ2dqCgK9deg\n", "v58cIwMZVgAT/cxHnVeyBKGm3hdEWVkZbTxIpbfacsTSGKj9G2zZssW2YRPdAUlGk37UZR42NDTQ\n", "5S89Y7EYnQyYUV9XWcsZVh1oEEGiSJp6D60AwS812NFJB+1H2VgZq69YscLyXp4Q2Z5kXGTFKisr\n", "w6amJmqRTjwIEgGZOHEi9cXfv39/qjWYMWMG7UxSqRT9TYzgWlpacOTIkZhKpejssq2tDVtbW6lN\n", "AzHsUccfILsgJk6ciOl0mg4whg8fTiM6kpDORIjS6TS2tbVhXV0dTps2DZuamuhAgGgZEokEnnXW\n", "WRiPx+nIu7GxETs7O+lWQpImmT0rioLt7e0IcHwkP3ToUDrbVcc6iMVi2N3djalUyiAw5eXlNG6D\n", "XvhJWqRcy8rKcOTIkTQ2BSlf9Ro+SYe4iVa7nSbXFhYW4vz58+n/U089lRpoptNpHDNmDCqKguPG\n", "jaMaAqK1SSQSVJOgKArW1dXh6NGjqTalubmZLj2kUikcMWIETpgwAVOpFI4cORILCwuxsrISY7EY\n", "LTfiAnnatGk4ePBgrKys1LjeJmVN7DMSiQR2dHR4qliS2Uveht9MNW7lxdUpWWm5tQ1Q+1PRnyNe\n", "YtXkVb0TXypWvOyyywztk5q82x/V28NZ58nM2i7vxMgbAKhGW/8MM00ASxNrlV8zXwf6pSKn39WT\n", "jIuuWAMHDjQdKZLR7OTJkzWq7alTp2r2x6s9RhUUFNClgPb2dmxtbcVkMolDhgzRqKibmpqwpqYG\n", "y8vLcc6cOZqOgnxY0gmS0W11dTVd1yZBhEaNGoUrVqzAVatWYSKRwLKyMrqMQdbJGxoaDAZGxMkQ\n", "j5CTTnP58uU0TsCAAQM0o/28vDxsa2ujs2Az4z/WDKGyshKHDh2Kvb29dHBFVPzNzc10MJWTk0O1\n", "Auq8k9/k2bNmzdJU5HQ6rVmuyc/Px4KCAlomGzZs0ORnxIgRGiNKsuWxtrYWq6qq6Pdoa2vDeDxO\n", "5UddwSorKzXxNACOG0UuWbIEW1tbNdfrK29RUZGniiWZvXTSOBOqnQ7p677eaM6pTZLdTFe99MbS\n", "so0aNcqwC4jUWzfvakYy0QmKLG2om3dyusXw4osv9vV7mZEM3HjeEwDQk4yLqFhXX321wQJer24n\n", "HZDVHn71NkD93nU1eQxsqqqqcPr06QYV0ZYtWwzX8gQ1IsY1rC1x3//+9w3HrrzySs2SB+lIidDd\n", "cMMN9BxZC2eVGymLrq4umgcyqLruuuswFovhuHHj6GiU7OBgvYN63aq+vp5WKqJNIN4T6+rq6Kja\n", "zGsXz5YhvfpM7fBF/w15LZBJI8sahBFtBtECAWgj3YnugCSjybKyMl9iDKjbGuKt02+6jfxnFkQN\n", "gN25mhnyksEAa7nQjMSmSK/lZNkZ+LmV0iudxFqwC2rnluoJmRcZPx74PkTcdttthpjTr732mub/\n", "iy++CAAA+/fvN01n1KhR9Pcrr7wCAAD5+fn0WCyWeb2hQ4ca7tXHCF+4cCFMnjwZEFFz/OGHH6a/\n", "lWMxw19++WXIy8uDnp4e+gw9XnrpJVAUBVpaWqCgoEBz7oUXXjBc/+qrr8LXX39N/x88eFBz7e23\n", "3w4AALm5ufDBBx+AoihQVlYG77zzDr0nkUgAQKYsxo0bB1u3bgUAgKqqKgAA+PDDD6GhoQF27doF\n", "H374IQAA7NixA/7pn/4J8vLyDHk6+eSTITc3F0pLS+F73/sejB8/HgAATj31VAAAOHLkCPzjH/+A\n", "RYsWwXe/+11IpVJw6NAhTWz1I0eOAADAv/3bv2nSZsVof/TRR+nvsrIy+Oyzz+j/lpYWzbd9/fXX\n", "TWO4q0HyTPJBoCgK9O/fHyZMmADvv/8+Pa7/VhISenz++eeG9ssN7rzzTvp7x44dntJKp9MwZ84c\n", "w/EbbrjB9J7GxkbTc7t37wYAgJEjRxrOffPNN4ZjP/vZz5jpvPrqqwAAsGvXLtNn6fHAAw/A0qVL\n", "4ZlnngEAgAEDBgAAaNo6At7vkE6n6e+mpibNueLiYigqKuLOnxkOHTrEfe1TTz3Fdd2tt95qeb6n\n", "p0fz34/3AAAxA4Ouri7Izc3VHBs8eLDmf2trKwCA4To13nzzTfq7vb0dAEDTuRKheeuttwz3fvvt\n", "t5r/O3bsgBdeeMHQ2UyaNIn+JoOGYcOGwf79++GRRx4xFcyTTz4ZEBF2794NX331lebcd77zHcP1\n", "ra2tmndNJpMAADB8+HAAAPjud78LAAAHDhyAiooKQETYu3cv1NXV0XsOHz4MAJmy2LVrFyxYsAAA\n", "APbu3QsAAHV1dfDuu+/CkCFDoKKiAgAyHefu3buZA7Bdu3bBgQMH4IsvvoCHHnoIfvOb3wAAwLPP\n", "PgsAmYFXQUEB7NixA5588kk4ePAgJBIJzeAqHo8DQGagpIa+/AEAxo0bR3/v3bsXiouL6f8333xT\n", "822HDRtmGMSx8PLLL9O8qoGI8Omnn8KLL75IGx4A4wBCQkKPRCLhywDynHPOob/nzZvnKa1vvvkG\n", "HnzwQcNxMjBmgdXREpBBA6tDJ22TGl1dXcx0yKSstLTU9Fl6zJs3D2677Tbo378/ABxvv8aMGcOd\n", "hh7qwczbb7+tOfePf/wDvvzyS9dpE/BMVAhmzJjBdZ1aRli45557NP9Z38YVRKji4Jiqo7y8HAcP\n", "HqxRoxUXF1O1MXEQBHBcFawoCjY3N1MjPmKcCCp1Sl5enuZegIxNQUtLi0HV3dPTY1CNLV++XKOi\n", "6tevH30+S41WUFBAA/60t7czVV7r16/X+DuoqqrCFStWMFV1RO1OLPOJXYOV1S5xvKRWi5O8A/DF\n", "bSeBoDo7O0336RIPhnY+ANavX0/LjKjnSUx5srxC1jX1ganU5Td48GC6XRMgY4CpVtmtWrUKzz33\n", "XFQUBXt7ezE3N5faJxA1Jim3mpoanDp1KlP9uGzZMs3a4owZMzyp4iSzl3b1SN9muaGXvfdugyhZ\n", "qeVZIYJ5YzvYeRgl9c3qPHFqZkfeiId2VIdk1+/+IP0T7zKG1VbLlpYWWo5e5IVlnOlJxkVVLCdb\n", "U8wKTB8sB+B4/AWAzFp8ZWUlvvTSS0xBVN8/c+ZMQ0Ah/bo28RMOkOloJ0yYoNnvqs9z//79ccCA\n", "ARrHImbkbQjIVsCWlhZDuFeyjqcoisahkNrinxUidv369ThjxgzD+/7yl7/E6dOn47Zt23DhwoXU\n", "zkG/zaarqwsnTZpEjf1Ye55vu+02zX+1wQ6rgumdFz344IOaBkY5Fm3TrJzIOZahjqIoOHDgQHz0\n", "0UcNlr9quRTdAUlGk04abKdkdba33367789x0v76uW1RXdf11v48ZDlDM+sfiBE4sTPyYhei9yhr\n", "14nr20Az/yleuHPnTsvzXmRcyFICgLXtgB719fXMJYU9e/YAQEZNfKzCQk5ODlXpjB8/HqZPnw7/\n", "+Z//abi3oaEB/uM//gMAMiqgJ598Ev7+979rrtEvb5x99tlUNV5ZWQnPPfccjB49GhRFMayZHzly\n", "BP71X/8VPv74Y0ilUrbvSPJvBUVRqNp76dKl8L//+7+a8yeffDJNS70+T9T2hw8fZq5t/frXv4ay\n", "sjKorq7WHF+9ejVUVFTAe++9Bw8++CBdr9SrF3fu3AlPP/00/PM//zMAZNT8evzwhz/U/CdLRQCg\n", "WTIg+PTTTzX/N2/eTNW35HtPnTrVcB/BeeedBwCgsR8gKCgogKlTp8LTTz9tUKc6kUsJCb8xZcoU\n", "+pu0NYsXLzZcV1lZ6ThtdTv0gx/8AAD41N8seyC3GDFiBAAAlJeXG+qe2g7ADPo2DyDT1pKyUuO3\n", "v/0tJBIJ+N3vfgcAmWVYK1g9X98e2dkI7Nu3T/P/oYcegvLycs0xq7JnvY/+3pkzZ1pe4wkiRtzt\n", "7e2a/fEAGcv5sWPHYjwex9zcXGqZqrY+b2ho0IzcNQnIXAAAIABJREFUUqkU3X5XV1fH5aEqnU5r\n", "ojASxmIxzM3NpdEaifaAzCjVSxDEXaWVKomMyNWjxMLCQkwmk/Q9SfqTJ0/Guro6vPzyy7GlpQXj\n", "8TiuWbMGFUWh76R+N3VsiMWLFxt2R9TV1WFubi42NDTQuATk+eSeDRs2YEtLi+mSgX6WoP5P3ru3\n", "txcvu+wyzVKAWu2Wk5OjcaqSTCYNo2aismtqasKJEydqZhGXXHKJ6WxFrwkg/xOJhOa7JBIJTCaT\n", "pt7g4vE4Xeog2yo7Ozs9j7gls5csOdLvMSfaN3X01zDIM7v3EqzIimoX8lYqfbXvBSeW/Oqy9SPq\n", "Yl5enmF3nL4tZQV446V6h5NXWvkwUMcNUtOLjAvRGHzxxRcAcNyKHgDgo48+gvz8fMjJyYGCggJ6\n", "jdpwr7i4GEpKSuj/WCwGhYWFAJAxNOSxyMzPz2eODOPxOMTjcTh69CgoikKNZchsW30P0SzoR3zq\n", "9znWgGiuyc3Nhfz8fPjmm28gLy8PFEWB8vJy+tyvvvoKioqKIJlMwp49eyCRSMDhw4dBURRNOfzl\n", "L3+hvw8cOEDTIjh69CjE43E4cOAApFIpTb4URYG//e1v8N5770FBQQF88sknhveIx+MGI5ZYLKYx\n", "4EskErBv3z749NNPIRaL0TTUmorc3Fz4/PPP6XPT6bRBe0K0AJWVlbBnzx76PQEyuyjIyFmfR73R\n", "J/le6XRak3dFUSA3N5eO4PXpKIpCZwNFRUWgKIomDxISPNi/f79Gtol8qjUAYYDH+IwYKfsF0r78\n", "n//zf+gxos1lQa2ZtZsZs3D48GFqVOwFiqJo2lIA40yf7A4zg94IVd2+8O484IFVOX3yySea/zwa\n", "aluIHHGrDQQVRcGOjg5cunSpxthMvS7U1dVlMGRRz0inTJliO/JavXq1xrBEz6amJiwuLjbEFli7\n", "dq0mr6x7rYxxYrEYnnPOOTS/c+bMwYKCApw9ezYdpabTaZw4cSKuWbMGi4uLTX0DqGfdiqLgKaec\n", "YuqrgbhlVo/MiYMVlg+EZDKJLS0tttqXhoYGHDBggCFvRDsRi8Vw7dq1GsPNtWvXarQdAMcNBIl3\n", "NLUL2GQyiRMmTLDUzOTk5KCiKNSQcdWqVQbD03PPPZcaZLFcVxMnSUuXLkWA46FvRc9MJaNJq3ag\n", "qKjIIOOEiUTCYBejDlzGM9vnNcLT287wxhqwYjKZpPWI5JW1bs7rgIf3mX6l5ZREc0g4b94808BV\n", "Xv0pEA3z6NGjDWkRz8B21Adl8iLjwmwMALTrzIiZ7WMNDQ2aEY96W9vf//53qkkgUG9D0Y+cWCgo\n", "KLAczX7++ecQj8cN21dqamo0eWVBPTPXAxEhHo/T2WheXh4kEgn4+OOPaX4OHjwIH3/8MXznO9+B\n", "/fv3m85c1VvqSLmZgWw7Uo9kERGOHDlisKkAyGgG+vXrZzvqTKfT8OWXXxr27qq3FFZWVmo0HTU1\n", "NXRbKQHJO1k7VH/Dw4cPQ11dneVaHNFikHepq6uDQYMGaa6pqKig31OtcSI4cuQIJJNJmhaPHElI\n", "sOpnWVkZ3H///czrDx8+DB988IHm2BtvvEF/m7UrapCtwnbQr9+z/JQ4xeHDh2l9Jnllbe+9+OKL\n", "PT+LQKT2Tm9vVFtbC5dccgnzWq9+Lciz6urqDBpt1tZuFvTb4j1B5IgbIOPRTz8yIyTr33l5eZqR\n", "2vr166lvbQAwaAC6urroGhcZ2d500014xRVXGJ4xadIkQ/AhMgsma3Fql8v6vCqKgj09PThkyBCM\n", "x+N4wQUXULsI9QyANVPlXesj3h+JN0gWiU2EmQdIvUtmFvPy8rCwsFAT/0BPfWApFmOxmGZ7k96f\n", "O9GEkO+rd9Osfwe1XQnx6kjKNz8/n9qM6NcH9VHdyLbG6upqw/vpv8XMmTM9jbgls5dqObGL0sdi\n", "ZWWlIcS5HS+77DLTe+xmq3YzeHVdiMfjNFy8CLqNDMlLq51MfpEVrIrQbBcbi3rXzE61J55kXETF\n", "IoKo9p2dk5ODc+bMwXHjxuHChQupalzdwfT29tIQvoRqlT8rqp+e8+fPZ/oFJyQBlPTPmTNnju0H\n", "sup8yQBi+vTpGIvFcPTo0ZhKpXDx4sV0D29VVRUuWrQIJ06ciM3NzbRCW8XxTqVSuGDBAtPGgQyQ\n", "1OdzcnKwuLgYe3p6DPfFYjHs37+/7R7lfv36GWIaABz3o6AoCs6fPx/b2troM7q6ugzLPaSTX7x4\n", "MQ0GRc6Vl5djY2OjpYqVlA35XtOnTzdsp5wxYwY9xnKxTcJmk7wQw1fRHZBkNGkmi0QdTHx96NnR\n", "0WFoe9SyqvdBwmJxcTEzxK6e+i3SfrgOJoHN1Mc6Ozs1absZKLkN+uTWXwMv9e08a7mWfAvyHd3m\n", "ibR7rLaO99uR68iAwpOMi6hYs2fPNsze9ZWC7Im3Ehr1XnermSyrM9B/gLFjx9KdAOrjrPCXI0eO\n", "xFgsZunfnLzf+vXrDXlSd37q/KvzSYSSPJ+sm8diMbpHNpFIGMITk7TWrVtHB02bNm1CAMCrrrqK\n", "al/ILH7cuHGYl5fHLLeKigoa8XH8+PF0tE3sPGKxGJaUlOCECRNw7ty5NAKiOg3ScesrDKsCqP2H\n", "k4BU5H9JSYkmj/rAS2Yk9iqs90ulUnjuuedqGrMrr7yS/hbdAUlGkwD+REhU2/i42dOvJ8t/CG9U\n", "QrP7WBMEVl0yCyHMypMdhw8fjoMGDaJtBJncmGmWnTIK8RVY7TaLdtoeff+oDhznScZFVSwnnD17\n", "tsZ4Rh+dTN2hzps3jxbW+vXrcf369cxR7LJly+hgIi8vjzkKJ6N78qyNGzdSQT/jjDMwHo/j2rVr\n", "DUsdhKRTX7hwoS/CVFBQQGfGF110kcH74Jo1a2zTIIZ1anZ0dGBvb68hPOqAAQNw8eLFOH36dEwm\n", "k3SgoO/USQhrEhxq+fLlhmfoHZMQo0iA445I1NRv82psbKQaIbL0YDU40DtIAjjeIAwfPhw3bNhg\n", "29CI7oAko0k/6rIZ1XXrrLPOMp2Bz5w5kys4nJrqdpJoN6w8DpLrrQLZOSVZDiHRadXniPdWN9Rr\n", "LgmdLB2QJRQe5092gwvWeX0baNX+2H1bHu2SJxkXWbGIFTgJ9dvQ0IArVqzA7u5uOvtUuyAePny4\n", "wZJePctUrzGbqft7e3s1Hgz115WXl2NHR4dB5a1edzNTbVtVstLSUhw5ciSNdrZ27VpsbW3FUaNG\n", "UYHJycnB5uZmXLRoEebm5tL1Nn3joBY6RVGwsbGR6REM4PjgRD3yJwOrIUOGGK6vrq7G7u5u22WZ\n", "OXPmUL8M6uOkUpWWluLs2bMxPz+fDqa6u7uxu7ubDsISiQR9t9GjRyMAaPKUSCRwyZIlzFDRhPX1\n", "9ZiXl4ednZ2Yk5ODS5Ysoe9MvtPy5cvpYFG915qQlAWJwT5o0CCMxWKeKpZk9pLIDavDnDhxomld\n", "ZLUdTmevZjNzlkxbPZcnbyySyZTVcizZSeaHVsWNJiWRSNh27jyDKn0Z8i7jqKnWevJ+X30kSvUk\n", "yor6iZ0nGRdRse6//37Nmj1AZpCgFkyy5cdKlaJ2okHU5W4FvrCwENvb2w3CsHXrVsO1xImP2SgV\n", "4HgFYjn60I+MY7EYbty4URNOmXSGxMjy3nvvpefUTon0W/NIWXR0dOADDzyAAMcHNWQmv2zZMjrA\n", "+vGPf2z6DupGq6ioiJYNMaBJp9M4bNgwLC4upksF+saSqCTN3IGqv43anTWANlSr/huyNAIskhmK\n", "WRz2oUOHagYLXV1d9FmiOyDJaJKlmdPLp95wzI5+bvFjtVVq8nRuVm0mK26C2cyc2JGREPA8JJMF\n", "veaRNYjicWoXFtVbre0YtH0EAKAXGRdSsdSZnzBhgql3KSJs7e3tGv8Fy5cv11iuq3coAABec801\n", "WF5eTq3sATJGh+oONZFIYG5uLtbX1+P111/PFECyfHHttdciQKZCkU6dVJyCggL84Q9/iOeccw4q\n", "ioKtra10pk/eKx6PMw0TeWcLpCJfd911tINNJpOaypubm4vpdNp0JG9l0Uq0M8OHD6cjaZK2fmR9\n", "ySWXaM6z8llRUaFZ+9L7KC8rK6O7AwCM/id6e3s16ZMdA/F4HE855RS66yM/Px/j8Tg1xlQPSlKp\n", "lMEAi8RnmDt3rmHtVf8tamtrPVUsyeylm0ZaLV+pVEoj8/p1fDNvpGa0WxIjxrSkburP9/T0aOq5\n", "0yUKXrJsq1htURDPJlQbvAdFu5gIvJoUfVlYaaJY9CTjIirWGWecYVgS6Onp0YxkicpdrTrTr2+r\n", "K9eqVauYVrMAxq1orHXywYMH46xZs6gKipxnGR+SQYCV0xCyRt7R0WHodNRr47FYDNPpNK5evRrH\n", "jBlDhYoMiojmgQw2FEWhDUE8HqfvrU5/1apVOHv2bLocQLZj9vT0YE5ODs6aNQsnTZqE8XgcTz/9\n", "dEyn08xBSm5uLsZiMYzFYlhfX08HN+S9S0pKcMyYMdjU1ESNhfTCSxoivZEMKV8yk4/FYrh06VLa\n", "KMXjcU2DR/JC/utnbWYNCtHYsJYj4vE4tre3a7RX06dPp3IougOSjCZZdUV/zMwRjhlZtj9+kGU8\n", "qHeE45Qs2x6WnRDAcc2e2cSEpfLv6OjQbJkmbQer3IMeSDihEy2R2kjQK83KwIuMC6lYRBjUs7bB\n", "gwfjkiVLsLy8HIcNG0Znk+pR5qxZsww+C8jadDKZ5BqRDh48mG5LYxXwkiVLMBaL0YELGVSo1/nN\n", "9qLqvQvqz7e3t2NdXR2WlJRgZWUlKoqC8+bNw7PPPhuTySTOmTMHe3p6sKKiAs8880xMp9OYm5uL\n", "iqJoZt3q5YmmpiaDloBoE0gsCXXIalIGnZ2d2N3dzVwDSyaTpqp39TWLFy827HlWa3aampo0/+vr\n", "6w2jZbLnd968eVhWVqaxbZgyZYppRDR9Q0MMMaurqw3LGbW1tdRokzWaHzlyJCqKQhvzJUuWeK5Y\n", "ktlLszrB8t+vljfipdPsft4ZodWMlHjJC6vDLC4u1viMIRMaK7sgPd0OVLyq42traw3lpN9FYRcr\n", "gbS9ZPCi96XCSzufNuplZjsSOfQi40I8HxIvT+rYBm+//TYcOnQISkpKYNiwYfDhhx8CQCZyH0Fr\n", "a6shct/o0aMBAODQoUM08qAVBg0aZOq/HBFh//79cPToURopkHidmjVrFr3uvffeY96v9kF+rAHR\n", "4Ac/+AGNA3H06FFARMjLywNEhEOHDsETTzwBAwYMgJaWFnjppZfg6NGjcODAAUBETWSwP/7xj/T3\n", "O++8YyiTQ4cOASLCwYMHoaCggHonI3l655134OWXX4aGhgYay0BfDnb+1I8cOQLvv/8+PPPMM5rj\n", "6siLU6ZM0fgiHz58OI0ASUBiK6RSKfj88881vsd/85vfaOIz6N9RDRIZsra21uDlraKiAt5++236\n", "bnq88sorgIg0ipzam6aEBC+Ib3y1p061Z8CTTz4ZKioqNPcMHDjQ8XNuu+0203OkbdBHo7XyysqL\n", "7u5uw7GvvvqKxi1QDZxg79693Onq2wResKKyOsH7779vaA/UXnETiYQm9gsL9913HwAc9/i6e/du\n", "V3mx8zSr92RphSeffNJVHjQQMeKOx+OG0bUba121lywyslPvD02n05hIJPDWW2813FtTU6MZed9x\n", "xx1M60+1qouomBVFwZaWFnzwwQdNR3pNTU2YSqXwggsuMCw5sIx/zPb7Eq0KmSGTWW06ncbx48dr\n", "yonMlPv164cLFy6keSNqymHDhhl2G8RiMZw/fz5TC7Jjxw6sr6/HqVOn4lNPPYV33303AgD+9Kc/\n", "1Vx3//3345NPPkm1ASy1oT6mPGsZRv0u+nXT6667TnNPeXm5pREVWZIw2wKVTCbx9NNPN9iXqOVS\n", "9MxUMpq0a5f8Js+WO6dLFwDHNWNWjMKefzWdaELUxoB333033TWmb1t6e3tty8KrDwU7h3FmNNOY\n", "Elr5ifAk46IrVkFBganwkQ6mt7dXE1ipubmZLiEAaAOLlJeX41lnnYVk8DFlyhTMycnB8vJyzTr3\n", "yJEjkYR/PvXUUw3GfADHwyuTsJZtbW00H7W1tRiLxbCrqwt7enqoLUBOTg7tZIn6uq2tzdYghacy\n", "nH766XT/6tChQzXCFovFcNKkSbRzNgubzFK/1dbW4ujRow1hQlOpFI4ePRrLy8tpWGrWLgti20HK\n", "admyZYYtleoBViwWw4qKCtp5X3PNNYb8qJduiOvjlpYWzM/Pp66hyW4C8iz1M5ubmw3bPMm63tq1\n", "a3Hq1KmW+7MTiYSniiWZvXRaf1OplKU9kl7tTuqKPjQ9qz5bkWVEqK8TpaWlmEgkmMur06dPd91m\n", "mZWDl/NWVBQFb775ZlflpG7HAIxeI+34+9//3nFeAdwPuiZPnsx1rxcZV44JuoSEhISEhISE2OiK\n", "EhISEhISEtGCHBhISEhISEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISEhASFHBhISEhI\n", "SEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISEhASF\n", "HBhISEhISEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSE\n", "hISEhASFHBhISEhISEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISEhASFHBhISEhISEhI\n", "UMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISEhASFHBhI\n", "SEhISEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISE\n", "hASFHBhISEhISEhIUMiBgYSEhISEhASFHBhISEhISEhIUMiBgYSEhISEhASFHBj0QSiKUqYoykOK\n", "onylKMpuRVG63V7Lcf5ZRVEOKIqy7xj/HNR7SUhIZD9Cbr++ryjKy4qifKMoyrag3inbkBCdAQlX\n", "uBkAvgGASgD4DgA8pijKa4j4potr7c4jACxHxDuDex0JCYkTCGG2Xx8CwGUAMAUAcoN6oWyDgoii\n", "8yDhAIqi5APA5wAwDBHfPnbsbgD4CBHXO7mWJy1FUZ4BgP+LiHeE84YSEhLZirDbL1ValwFADSL2\n", "BvuG2QGpMRAERVEGAcDZFpe8gIiPMI4PBoDDpCIcw2sAcIqLa3nTulJRlKsA4P8DgA2I+JxFviUk\n", "JLIcfaz9AgBQLPIqoYMcGAQERVGKAOB2ABgOAA8h4vmKotQCQC0iPo+I/wMA6y0TYaMAAL7UHdsH\n", "AIUuruVJay0AvAEABwGgGwAeVRSl/Vj+JSQkshBZ1H4RSNW4A0jjw+BwOgCsQMQmAPitoiijAeBk\n", "RHzeY7pfAUCR7lgxZCqE02tt00LElxDxa0Q8hIj/BQC/BYB/d5l3CQmJvoGsaL9UkBoDB5Aag+Bw\n", "CyIeAQBAxIcVRVkHAM+Skx5UcX8BgISiKE0qFVobAPzJxbVO0pKQkDhxkG3tl9QYOIA0PgwJiqL8\n", "CBHP8SmteyEj6Isho+r7fwHg3xDRsJXQ7lqr84qiFAPAKAB4DgAOA8B8APgxALTr1vUkJCSyGH2x\n", "/Tp2Pg4ASQC4GACqITOYOUwGPRJsyKWE8PB7H9P6fyCz9eZTAPi/AHCOqiLsPDa6t72W43wSMlt9\n", "PgWAvwPAcgCYJQcFEhInHPpi+wUAcBEA7IeMrdRCADgAABt8fJeshNQYhABFUToAoBIRd4rOi4SE\n", "hIQTyPbrxIPUGISDoZBRx0tISEj0Ncj26wSD1BhISEhISEhIUEiNgYSEhISEhMRxIGLohIwVqWsq\n", "ioIvvfSS6fl4PM68x+z6pUuXWj7v0UcftTxfUlJi+3w/qH+OCJ500kmBP8Ou/NyWbywWc3S9iLoh\n", "GX36IeOYScgX2sm1n8/q6ywqKgr8GVZ9TZj0JONRqFhNTU3MF2toaHBdKD09PVzXpdNp4R8wDPK+\n", "ZzKZ9OV56sZKXxmvvPJKBABsbW3lSmvBggWW57du3YoAgJs3b/atvCoqKjxVLMnsZRj1taamRnib\n", "IckmZoSAm6tXr7Y8f+mllyIA4K5du/zOp2sZF2JjcGxEZUAikYDDhw9b3ptKpeDgwYPMc8lkEg4d\n", "OuQ9gwBQXV0NH374oS9pqRGPx+HIkSM0r7/97W9hzJgx9HwsFoOjR4/6/tyoIj8/H77++uuMMCqK\n", "6284cuRIePHFFz3lpaGhAXbv3g25ublw4MABQETpLU3CALP260TErl27YPjw4aKzIRyk/XILRVHA\n", "777YS/sVKRsDu0EBAJgOCgDA06Dg+uuv1/znGRTk5jqP4nnkSMavBsmrelAAAIEPCiorKw3Hkskk\n", "89pY7Lh4lJWVmQru1Vdfbfvcn/70p8zjX3/9NQAArVRm37C+vt4yfa+DAgCA3bt3AwDAgQMHPKcl\n", "IREmPvroIyHP7UuDArP2i6dDNmsjCbwMCnjzECr6sirOL7W3W1ZWVtpeM3XqVKF59IvqpYFPPvlE\n", "c05RFDzttNOE55FFOzWelVpQtMpaMpoULdNh8uWXXxaeB7/Zl5ZpzJbZCTEjkGbn3Mt4lCpWS0uL\n", "ZSHYGdnk5+dzFXZpaanpuauuuir0j3/HHXfQ3/3793d8/6hRo1w9d8iQIZ7yXV1dbXtNKpWyPK83\n", "qKyvrw+kjMvLy7mvraqqQgBvFUsye2kmN7m5uaG3HXq2t7eH/kzMFAoCuDO8s2qPrRiGIaFTBmV4\n", "7vK7uJfxKFUsXq5cudK3wkskEr5/EFYDceaZZ/qanp5eDDWdcMCAAVzXDRo0iP52qtlxunvAjNdf\n", "f73mv93uEz1Fd0CS0aRXuYyK1brDuhBo+nYz47Cpbr9E0athvCcZ74sVywmtRnBOO2s/ByReuWHD\n", "BuF5EE2rAcS+fftc30sougOSjCZFyz2h09lpFDQabvN+ohEzguY1Dfcy3pcrllq4/Bjh8c6GvbKw\n", "sNBwzGzr3ujRox2nX19fr9Eg+CFkUeP48eMDf4boDkgymhQt+6LJGlSbaUHslofdPq+v026J1Q96\n", "kvG+WLH0hap3QOR2zd2MaqFnaRmampowJycn8A8dhTW1oUOH+p5mXV1dIHnVN1Yvvviio/tFd0CS\n", "0aToOih5YhIzwufkevcyHpWK9eqrr2r+T548WfiHMOP999/v6X6va4zqjtRNWm1tbbh+/XoE8D4a\n", "91M9mZeXp/kf1jrf2WefzTwuugOSjCZNZCUUWfWDDz30kPA8eOUrr7wiPA92DGu5ZMaMGczjnmQ8\n", "KhULgK1iVzORSFjOmt1Y9JsxLGO+X/7yl5r/BQUFWSe4ViS7Bchsvl+/fq7SsfOO6IREjkR3QJLR\n", "pOg6EyVipkBOeP7qV7/ydH8Q/Y0nGZcVy8iOjg5X9zmdfYe5NZJXs5BOpw0zdxaD2M3hhk63N5p9\n", "2//+7/82HBPdAUlGk6Jl3q+67pWfffaZ8HeVzJC1xO1JxvtixbrpppscG2+kUinXFcZpJ/j4448L\n", "ExC3gxpezp07N/B3uPDCC31JZ/bs2Zr/To1LRXdAktGkV7nETCKRZdTzF3WOHDnSl3Rqa2u9fkfX\n", "Mi7cJXJBQYHje1auXAkNDQ2O7nnttdegtLTU8bMAAAoLCx1dv2HDBlfP8QMDBw4MNP0nnngi0PQB\n", "rN1RO3FD/fDDD2v+f/zxx67zJCHhF9y4zz02IAkFXt37ekEqlRL2bL/wzjvv+JLO+++/70s6rtAX\n", "R9y8tHIQ0dnZ6cszrNaGbrrpJgTg98jIQ6vlisWLF7tOt7e3l3l8+fLl3Gk88MADCAB43nnnBfI9\n", "w16+ED0zlYwmw5RBM4axC+qKK67oM+9EjKn1PHLkiJP6jgCA48aNE/59/aAnGY9SxbJb27azgLcz\n", "XiT8/PPPTc8FtXXOimr1P4+bYT1/8YtfuHruhAkTPOXbj7VMfRplZWWhl7+exFOj6A5IMpoULZ+Y\n", "yUTW0O37ePUMmO30JOMiKharQ9EfmzJliqNCCMo5EWudx63lPOHHH39sOEb88+tJfDQ4sakYOHAg\n", "97VRcs/qJN9m5eUnRXdAktEkp+wIr09m9Lobycm7Ral9OdHoScajVLG6u7stX7S6utpSnWx3P6FV\n", "GkQrEZa3rcrKSo2fcDcxFdxudTn11FOFC+/w4cMR4Pg2zVWrVrlKp6Kiwrc8kUiRojsgyWjSTG68\n", "evk7//zzhddHr3zsscdCe5Zfy8F+EjMC4ph+DqDIJNmTjEepYrG4c+dO4R87LN555530d9ChQf1I\n", "X1EU/O1vf6s5ptemeJmdnHvuub69r1U+zNwri+6AJKNJJ3KHmRtOCKpDnIfh8tcP6r+Pn75dwrAD\n", "sXk39zIehYplJkSbNm1yXSjNzc1c1/X09ITykYJ2JmSn4eDxTcCTDi/VSzD6LZRkRs5r2Gi3bEA8\n", "ufkZoa2srMxTxZLMXvLK0MUXXxxonQeIhpOybKc+KisJbT1t2jRf0seMUPlOTzIexYrlxPrcqQrG\n", "rcrGj4/HO4IMIh6BCD799NOa/93d3fjggw8G+kw/VXKiOyDJaFJ0vXIpy8Lz0Neo96cSi8Xw8ssv\n", "F54vB9/cvYyfqBWrsbExtGddcMEFvqVlNWji6RRZGoHCwkLThuONN97gzhuvloaHLC2Smx0bXii6\n", "A5KMJsOUwSiwpKREeB446qqj4ycCPcl4FCvWrFmzmMfz8vIMuxW2bdvmqLCIb3476iM0+hHml9dA\n", "LlsseVeuXKn539zcTLcC+k3iK0JqDCSDppf6q5f/o0ePBlIf5BKDd/o50RFBTzIexYrFon6mq/7/\n", "wx/+UHPuueeec5S2XWeinr3ecMMNhvNbtmwJ3FgQAHDjxo3ChS2IIE9hDYSInwve54nugCSjSb/l\n", "Uh/8DTMPCYQsTdy7774bSv3j3TUm6Q89yXjRXkvYAAAgAElEQVQ2VCw/2dbWFvozWY6b+sJolbVj\n", "ZNKkSZr/QdsU8PKuu+5yfI/oDkgymhQty1bMFm1jGMTMx7SkmfY6bLoJWOVJxkVXLKttLRMnTmQe\n", "51GT6dfim5qacNmyZYbr5s2b5+sHTCQSodov6OnEhbEoku9nFmyEWP2yyHKCZNYYetkyVV1d7ali\n", "SWYveWXI74BmrHbPT/8dks7oxCGbCHqS8ShXLDfkdWnc1dXl6Tnbt2/nvtbP2T9mChABjNvzvKwr\n", "mu2YyM/P53Y1zXsdAGBRUZHledYWRb/DVNvNrkR3QJLRpJ8y6Hd99av+BUXMFOAJybAdynmRceWY\n", "oIeKYw2yJ4waNQpeeOEFP7ID7777LtTX15ueHzZsGLzxxhum5xVFgTDKMRaLwdGjRwN/TtTzkE6n\n", "4Ztvvgn8OYgoLsycRGThR/vlJ0aMGAEvvfSS6GxIRAxe2i/hYZfVyM/P576WNSiIxfheZ/jw4Zr/\n", "6kHBbbfdZrjealAAAJ4HBevXr6e/c3JyTK8z65BPOeUUV88tLy93fI86D4MGDbK93i6Mqv6bpdNp\n", "2zTdDArKysq4r00mk47Tl5AQBfWgwE0Ye68oKirydH8ikfApJxK+ISqquA0bNmj+R3m7jei1pV27\n", "dnlVMeGCBQsQwLtK0k9jJ/1WriB2QLBo5hVStMpaMppkyYrXwGonEjFTiK753HPPMYPbSRrK2b2M\n", "R6ViAYj3LQ0gZkvgiBEjDMdKS0u573fbOXvt1P/rv/7LcEwf0GnhwoWWaegHA0FZVd94443c1xLD\n", "VdEdkGQ0GXb74ISYyWCo7AsOkNyWlRMvvEHy2WefdfN+7mU8ShXLLjqZoiiWvvzLysp8+xBBOeLR\n", "89prr9W8E3HUEwajoJUhO0XuvvtuBGCHueZhfX29b3maPn06AnirWJLZS9F1Jkrcv3+/8DyIJGm7\n", "33zzTeF5ISSTKy8yHikbgy+++MLy/Pe+9z2ora3VHFOvBy9btozrOVa2DIqSsdfwum7Gi5tvvlmz\n", "Dr948WLHabS0tLh6dnd3t6v7/MRdd90FAAArV64EAIDvfOc7rtIZMmSIX1mCXbt2+ZaWhATBxo0b\n", "afvCwuHDh0PMjT/Qt6Xbt28P7dnjx48P7VlmIDZXQ4cOBQCA6upqV+ns3LnTtzwdG7x6TyRbR9y7\n", "du0y3SKSTqcdq61ZaiWWOp2Q5bjIK0meWZoTYjcgisQmIKyQq1u2bHF9L8unhZ6iZ6aS0WRY9QkR\n", "A3dYhJkXigSjoMEMk62tra7v5WljPcm46Io1fPhw0xfzYnymr1AzZsxgVgLecMS8rKmpCWRAwMsZ\n", "M2YIe7ZTmvk9sIpnEZYNSP/+/T1VLMnspaj6gpmHS/Zhhmk06UnGT6SKxcOwZrt2POOMM4TnwY76\n", "sKQAgFdccYXm/6FDh4TnEwBwxYoVju8R3QFJRpOiZVnSH7IC4+knlJj54MJpZ3/HoicZlxWLWaCu\n", "7nPqAtVqGUItpE48CpqxuLiY67qCggJUFMVWrReV7UKVlZWOrjdTzbIMV0V3QJLRpGiZtyNmMhk4\n", "58yZI/xdJS3lwL2MnwgV65xzzhH+kYKgm50TejfKAOad5eTJkxHguD0Dz7q8GXfs2OHoev3AJIjG\n", "zm4Xi+gOSDKaDLueh7lTKZuob9emTJniOi3MfHhh97t8pnsZ78sV69JLL6W//ZjBjh492vePw2tQ\n", "w+qwAdz5dqiursa1a9fS/6+//joC+KN5iAp5VWt2GgW9Ead6sCC6A5KMJv2SYXXHNWzYMOF1ygtX\n", "rVrlW1q1tbWassFMoWcVw3gnLzIemVgJYcUb6CuwKg9EtNz2ZIfS0lIoLi6G3bt3u06DIMjvVlBQ\n", "AF999VUgafMAZawECQaiFiuhr8Fr+yXBBy/tV2T8GMTjceZxsj80SghKqJuamujvxsZG0+ucxJRg\n", "Ye/evdDV1eUpDYLnn39e87+yslLz34sf9D/96U+u79XD6ptNmzbNt+dISEgANDQ0mJ7zo/30qw3W\n", "T2ry8vJ8SZeVdp9CX1bFeSGvMZ4Znewvvu6663zLd01NDf3NG2Jazd7eXsOxuro6rK6uZl5fVVXF\n", "/a5+7kN++OGHDeW9ePHiUGVEtMpaMpoMUwajQMy8dCQociu41zJz0157zIN7GY9CxbrggguYL+bU\n", "yl/NzZs3c13nd6CeE81Jhxued955CAB4+umn+1KmVVVVCADY3d3tWx5vvvlmTxVLMnuplxV9fBA/\n", "iJkHSUaQpG8h7Y5f7N+/v29pHYN7GY9CxdLTzNr+uuuuM3i7O/vss+nvoUOHchUaT0yFrq4uzX8/\n", "PJCxRrt6B0tuRpVWDoGsGPSWQyeDJOJV0u2MYObMmb7nX3QHJBlNupWnrVu3ImYSoBw7dmwgda+9\n", "vT3Qui3pL714QTSjJxnvCxXLSaRBNRcvXozXX3+96XmrgEwAgM3NzZr/rMGB2vpfz7Cjjnnd1pRO\n", "p33Jh9vv5ZSXXXaZ63t5NEqiOyDJaNKprLkNyDZ58mQ899xzA60fmHkhSQH00n5dddVVPN/WvYyL\n", "rFgsL4NBj3SDDKNpN9AAAJwwYQK3UFxzzTWe82TlctqMubm5ptsnCYuKigL9ToROt3Hl5+cb9isP\n", "GTKE6179spLoDkgymrSrO2HUC1Ek26cXLVpke60bb316ZtMWa17qPTLy9CssepLxqFUst0Ll12yX\n", "h258C6i5Z88ewzGz2b6da2SWVkKfv2y0e/BqPMpD0R2QZDTJIzt+x2CJEvWGwZLRpCcZj2rFsuK9\n", "997rW+EF0WkOHDjQcCzoGAxkmSPoaGy8Aza3o1wA7wMvQn0D5nRXg+gOSDKa9CqXd911V6B1VDI7\n", "iBlh83K/axmPjIMjK2zfvh1mz54NhYWFQWWJiba2Nnjttde4rh0wYAB8/PHHAecoWCSTSTh06JDo\n", "bNgiJycHvv32W9f3I/I5WEHp4EiCATcOjnhlTkLCDm+88QYMGzbM9jov7ZcQB0cjRoxwdP2iRYts\n", "BwWxmP+v8tprr0FnZyfXtfpBQTqddvQsu0bjJz/5CXdapCycDvr6wqAAADwNCgCCc1AlcWLATVtz\n", "osvckiVLHN8jYtLaF8AzKPCMvqiKk3TOMWPGhKK+YtHrcs369etNz23ZssWX5RPWmrBolbVkNCm6\n", "LkuaEzMfKFK0ap+WLl0aZFm4l/GoVixijWrm/EgkvXZ0ZoZzP//5z918fKFlEeSWzLCMJkeNGmVW\n", "tsI7Icno0YlsXX755ULrZ5jETOFIRoSeZDzqFUsE3Xq0shoZsqL88Vou//rXv7a95uKLL7Y8P2PG\n", "DK5n+bXd6tRTT6W/eb1QmtHKkDGVSnkydLSi6A5IMpoMQtaymZgpNEvaGWcHuc3cjnpnd32FnmQ8\n", "ChXLTCvgxafBTTfdxHWd37HOg+qksolkaWDBggVc19s5iCEuaZctW+ZbHjdt2uSpYklmL83kz09i\n", "5kGSEeS7776LAID9+vXzNV03PmfMeO2116InGY9CxSK0WzawGzWqAwxZ0Wpm7+fH4WE8Htc4C+F1\n", "xqOmW3V+Y2Ojp7yzNB76srUbKJH4BuQ6vXMiXto9x0lMDLKtUXQHJBlNmskNZk66ZtBbjYOienLl\n", "1sujG0bBP4veEVzYgd5YJNv5Pcm4yIpFvACqeeuttwZaQfwOmuSUJK6B1TuyysUto7TG2a9fP6yv\n", "r3d0j1NHMRs2bDBoDniXUfQU3QFJRpM2MiO8nonmgAEDfEvrj3/8o/D3CZOPPfYYdnZ2ao659evi\n", "ScZFViyWBmDevHmBuhVta2sT+uGJvYBVZ0UGDX54czzppJNc3RfE4MzNOqFTx1CdnZ0Grc/dd9/N\n", "da8+kInoDkgymrSSIV6tpVuK1ipgpgBCy8eJtjSbTqcN70zK3MW3ci/joitWLBYzXef3EmRCv+4X\n", "i8WYHgl517l56ZfXPreMgnrNjiSCpBujRNagkRzz0y32smXLPFUsyewlrwz94he/kPU9i4kZYYgk\n", "vbZfkapYbsMH+8lrr7029GfOmTOH/iajRSdBitw2Dl4blQ0bNhiO6Xd06NVieurfM6g1SitfCHqS\n", "5SbRHZBkNGkmN6Jn88dkNvRn3nDDDcLf2w31wYqiTDfLoZ5kPEoVS0+zirZ161bfCjyIGT7LWlUf\n", "wtkJedRpZC0+6MaJ10ZAHXrZqTrQr8HBk08+qfk/f/58R/eL7oAko0mvcjlz5sxA62gQ3LhxY6Dp\n", "R2FQpWYUojpiRti83O9exvtixfLj444cOdKXZ1htqSTWoX6quK062dWrV7tO12w3gJM9vNu2bUOA\n", "zFa/IL5n2GpT0R2QZDQZpgya0a+gbFYdMmZeNjSWlZW5vtdsy6haG8tR3xEA8J577hH+ff2gJxk/\n", "USvWmWee6el+J9byt9xyi2/5vvrqq+lvvdMknpm5WUNgFjVx1KhR3KN5P62Rp06dajj2/PPPhyoj\n", "ojsgyWgyTBk0o1ojF0I98C0t/fa+oCnKeJHVZvpZjpzfzb2Mn6gVKwrC+6Mf/ci1kDklb6d91lln\n", "CS9/J/z973/v6HqzsmRVWtEdkGQ0KVrmo8I//OEPwvOgZ1/bxYAZgQokHU8yLqJixWIxx/vZ7ehl\n", "Dd+Kbh1W/OMf/0AA/k7drDyI+tzJbHzo0KEIALhixQrN8dmzZwcq5GGS5WLaD6qdRYnugCSjySDk\n", "LqhlMreaUcy8KDft2jmz+DAskm3N+jyI3vHV1+hJxqNWsWKxGL7++uumwqf3Q2CmAjfjrl27uK7r\n", "7e015MuPj6U3TGSlGzVDHLfUb0NtbGw0LUev70w6dNYAi9ebpH4rpOgOSDKatJMjzFwUiJxbpa3m\n", "uHHjhNd/SbH0JONRrFi89NNZ0fbt27krHaHfvrL95GuvvUZ/+xEPIpFImDZqes1ElGj3jawGfKI7\n", "IMloUrRMW8ir8DzId4kOPcl4lCqWnWe8SZMmGa5Rd1a8tgFWQhfkbN2sE1JbGLuJ1XDfffe5yg+J\n", "UxAluh1s+Rl9jXwn0R2QZDTpVq6cqNOtiJlMRJJu2k+1QbUTVldXC3/fKNOLjCvHBD1UHBMe1nHQ\n", "5+fLL7+EoqKiUPIlGu+//z7U1tYCAEAsFoOjR4/a3hOPx+HIkSOOn8UqazdobW2FP/7xj/Q/b74J\n", "UqkUHDx4kHkuPz8fvv76a895tEN5eTns2bOH/ifvgIhK4A+X6HMwa79YQERQlBNDjM455xz40Y9+\n", "JDoboSKdTsM333wjOhtMeGm/Yn5mxCtYHVVQg4K5c+cGkq4apEHo6uriup4MCgDAtHNNp9Oa/+pB\n", "QUlJCXfeWAMwFj777DPLdNSDgnXr1jkaFACA6aAgFosZBgU1NTWO0uaFelAAYF72EhJOEdSgIMzB\n", "RizG102IHBSYTXKcTH5431ONqA4KvCJSAwM/UF5eznXd448/7uk5Y8aMsb2GCOXf/vY3T89SY9q0\n", "afT3L37xC825L774wvZ+/cCCoLS0lHm8f//+MHbsWK68XX311VzXAdg3bHfeeafh2L//+79zp8+D\n", "qqoqX9OTkAgLYWp63XSYZsjPz6e//XwHs/bEyQDKzwkB6914J4iRQF9aozuReOjQIdNzfhg9+mGQ\n", "OHDgQIN3yT//+c+a/ytXrnSdfm1trW/laeYZzYqi17Ilo0nRbUNf4J49e4TnwQ0x84Ep9+7dKzxP\n", "AO52xXmScREV64wzzrB9cafbEIPa48ra++812BMreIeZi9MRI0YggLNAJaQsePI5evTo0IXcjGbb\n", "VFkMKtiSmqI7IMlokkd2+pqjnb7KKJUzZoQjMvQk41GqWHYzxIqKCoOjH7UV7CmnnOJbobqZYbrh\n", "5ZdfrhHuYcOGOU7DrXOUKGy3JKGwly9fjgCAJ510kqt0li1b5lueiN8D0R2QZDQZVF2IUifHS8wU\n", "yAlPr95ygyhHTzIuomKxghtdf/31mv9+e0b0k4sWLQr9mepGw+sywEsvvUQ1FE8//bTw8iT0M6aE\n", "27JVU3QHJBlNmsiK8PrDy9bWVuF58EJ1WUcpdDIJ1x4VepLxqFQsN3z33Xd9K0RFUfC0005zdA+P\n", "qj4o1712XLduHf3th9pdrZnRD+xSqVRkZzt2DfaCBQs0/9XaF9EdkGQ0GZZseqmjfZ3SR0GGXmTE\n", "i4xHyo8BgZO98Lm5uXDgwAFf8mUFRO/7kXnT8MvHgGjs2LEDTjvtNPq/qKgIDh8+DPv37xeYK36g\n", "9GMgwYATPwZRgR/t19ixY+FXv/qVTzmKPhYvXgy333676Gy4hpf2K5IDg7CxaNEi2L59u+hs2CJb\n", "Bgxe8c4770BjY2Pgz5EDAwkWotZ+rVu3Dq666irR2ZDgRFhOkby0X8L8GPixN3bixIn095QpU1yn\n", "QwYF6j22BF7zmUgkuK6bPXs283hxcTH9zTsomDBhAtTV1dH/3d3dAADQ1NTEdX/U0djYCAsXLuS6\n", "tqCgwPK8fhaVLWUk0bewdu1a1/dGYVDw1ltv+ZYWaa+yFd988030J3ii1uj27dvnef1FvR7sp698\n", "Nd2u211wwQUIADhv3jzH7+KVZmWhjxjZl8lbXnbX6W0jtm3bRn+LXsuWjCaPyYbwOhAkw9qV5YRd\n", "XV3C8xB1Pvfcc/S3JxkXVbGc8Oyzz8Z0Ou24kAoLCz1Z8PPEMifbVFgd0ODBg0MVirBCutrRqW8E\n", "t9/IrRVwR0cH172iOyDJaNKpvLkJjOYHi4qKhDxXFDHzcUJnXl5eJN/Tk4z3hYrlhtlkoesH29vb\n", "ua5btWqV78/Ozc3V/HeqHTl8+LDpucGDB2NJSQkC+L9dSHQHJBlNiq7LkuYcNGiQ8Dzo6cQ5nZ/0\n", "JOPZXLEWLFiAd911l+l54sjGi9CJ2hPM8gXhh5vjvsQbb7zRUfmoeeedd9qmL7oDkowmw5Lv9vZ2\n", "xMwDA6OfS5iSzujl2/Lc60nGs7liOaGb2SaPC99s0Vzccccd1Hbhwgsv1JzbuHEjbt68OZLlYOfd\n", "0crTougOSDKaFF0X/SJmXuaEoFrdr3/vtrY2HDdunPA8smjXbpaWllp9X/cyLqJixeNx32e3M2fO\n", "DOTD3HTTTa7u47FPUNPMnTMpJycBhYiRzpw5czTHJ02aJEzA/WZbW1sg6arlUnQHJBlNBiF3U6dO\n", "DUSeMZNhx3TqsMzOIVFNTQ13Wt3d3Qhg9DAbVSdqbhiUsbzu27uX8WypWIS33XYb13VeDUYOHDjA\n", "fa2fxikLFy6kv/UdfxBUFCWQ54wcOdLyfFVVleGY34MBO+Ms0R2QZDQZZH0LazcAZl4kdKqXY8Na\n", "+ozKgCLsfHiS8ShULGI8pqdeZe2EvLPjCRMmCBeYMMg7QvVL5a82ONS7jiahmC+66CKutCoqKizP\n", "k2WMMWPG+FZeTU1NniqWZPaSV4Yuu+wy1/J3ou0o6EvEjBDgr371K1/Se+211xDAfy2CJxmPQsX6\n", "n//5H+aL2XUIVrz11lu5rvPb+CaMcMB9nSTsNu9OCbuRNjE0PO+883zL48033+ypYklmL/WygpmD\n", "vnL37t3C66kkm0FpdfxM95ZbbkEvMi7EJfJbb72F//Iv/6I5Fo/H4ciRI/R/lN3/6vMaBgYPHgx/\n", "+ctfHN1jls+CggL46quvAAAyQuDRh7pfuPbaa+H8888XnQ0KlC6RJRiImkvkExlRar+i1md5ab/6\n", "TKyE8ePHwzPPPBNEdqCyshI+/fRTT2nk5OTAt99+61OOJKzgtTEoKSmBL774guc50WhxJCIFOTCQ\n", "8IKwBjNe2i9hsRKcQj0oSCQScO+999L/+kIuKSlxlHZRUZHl+Z///OeW54cPH64ZFCSTSUfP50Vz\n", "c3Mg6TrBli1bAn+GXXwJt/ErysrKAAC4BgUSEkEhHo9DR0dHaM9bunSpo+v9iGMTVURhRh8VDYcl\n", "orBG11fJ4/vAT4M4kVQbJbLWVLds2SI8jyza2TFYrQ+LXsuWjCZFy3SYFOW1L0gePXpUeB54aWcM\n", "jhmBNDvnXsb7asUiMQoAAMvKyjTnVq9e7Sit5uZmy/OdnZ30d3FxseH8Aw88EIoDnx07dggXVLuy\n", "CoOpVMrVfU63R4nugCSjyaDl24nPEh7m5OTYyXko9Tas51hRv0Mqm+lFxiNjYzB//ny477771NeA\n", "iLzxoLCwEPbt2yfs+V9++aXt8ocVEBFGjRoFL774IuTl5cH+/ft9zJ17JBIJOHz4MP2fSqXg4MGD\n", "oT+XAKWNgQQDrPYryu1V1IDobY0dESEWi8nytoGX9kvoYlJVVRX9TQYFW7duhXg8HthHLy8v95yG\n", "l0HBtGnTAOD4ejcLeXl5AGC+1u5kULB+/XrDMUVR4MUXXwQACHVQkJOTY2k/oO+cDx48CP369XP0\n", "jPnz5xt2NtjFuifPTaVSjp4lIUFA2qts76z8sD9wMijYsWMH8/5sLefm5mbYtGmT5lh3d3f4Gemr\n", "qji1b2t99L4ZM2Y4SstuHZrsuwdgq7GvueaaUFRDV1xxhXD11NixY4Xnwa2vCLvASnqKVllLRpN+\n", "yLC+zVLTb0c3p512muX5O+64I5R666efEbd86623hOchLHqS8b5asQC0jm+INz0vZNkJpNNp3z8Y\n", "a83v0ksvZV6r9xfOw+XLl2vKhkSRDMM/d1j80Y9+FEi6OiNL4Z2QZPQYhNydeuqpwuuUF5pFscVM\n", "gTmi2qYrW2kVSt4vepJxERWLNXPTh9BVGxdGjUuXLg39meqO3mvshSeffJJqPnbu3Cm8PAnDmrlY\n", "la2aojsgyWjSRFaE1x9e2mkQok51WY8ePVp4fgjNXPsLLCf3Mh6ViqWmmYX/ihUrDLEN5s+f7/jD\n", "jB8/3vaaAQMGaP774eqYpdXQv6tTdTcrr7zU7+bwm3bW0Cy6DTQShLWx6A5IMpr0IE+GKIovv/yy\n", "43REhTBXB0CSjD49ybioinXWWWf5Wgh+b/Eh7N+/v6v7SIAN3i1yZp07aQScNAZ1dXUIYFwGue66\n", "64QLq1/s169fIOlOmzaN/hbdAUlGkwD+x1iJSgRAlewLe7aFBk94uUSd6rLzJOOiKhahoihM3wAA\n", "5uvuPNTvt1cUhTlDnjVrlq8fxs0sOSjBiCrJMtFNN93kS/mSpRU/w7iuXbvWU8WSzF7yytDtt9/u\n", "Wv54JwKitAeSgJgRhkjyJz/5CXqS8ShXrDDpxmnOT37yE+H5DpLqWdGzzz5LNRD6Adu8efNso8H5\n", "PcPy67taaZpEd0CS0aToeukX1butsp2VlZXqeq05l0wmDceygZ5kXHTFshrxmoVdbmlpcVxI9fX1\n", "OHjwYMPxYcOG+f5Btm/fLkwYgvaO6OfOBjOX0lYzLSe2Hl6sm+PxuKeKJZm95JUhv+1eWNrAnp4e\n", "3+v4vffeG1j7YccDBw4Ie7Yf3wMA8Oqrr/Ylfa92bZ5kXETFYs0eGxsb9S8l/MMDsDvCxx9/3FOa\n", "a9as4b6WLH+YCYmbpQP1PWbLOCK4atUqIc+VuxIknZBHpjBzYSQZ5bxJ+vqd3cu4qIo1Z84czy+u\n", "Nq4jBnd+063NwIgRIxDAOOAxY01NDfO4m45fXxZEK6PfEtqXybsTw07DoddYbd68mf4W3QFJRpMs\n", "ufHKvmAb5KQeBVEWmCl8SQuecsop6vJyLeORiZWgR1NTE7z99ttQU1MDH3zwQRjZ4kZOTo4mzLJT\n", "dHZ2wm9+8xvD8Y6ODnj55Zc1x+LxOBw5csQ0LcRwYnubwWtZWCEs16escgcAQBkrQYIBnvaLoH//\n", "/vDJJ58EmZ3IwE1bJLr9ygaYxbvx0n5FNvD222+/DQAAH3zwASAiNDc3h56He+65h3mc1RHG43Hu\n", "dFmDAgBgdk5WgwIAf2N7FxQUOL4nqEEBAAQ2KOjt7dX8Z5W7hIQf+OSTTwARoa6uLvRnJ5PJUJ/n\n", "pi2SgwLn0LeLQcS7idTAoLKyknlcURR46623YMWKFVBRUaE5pw7Ks2rVKq7nDB482PQcEdTc3Fz4\n", "3ve+x5UegH0HboaioiIaNAkAYM2aNY7TcBtkQx9g6auvvnKVjheQxosEMJo8ebKrdIYMGcJ97bZt\n", "2yzPl5aWusqDhAQLiqLAe++9ZxspdPPmzb4+99ChQ76mxwNW0CM75ObmunrW3/72N1f3BYnCwkJX\n", "9zkpg1AGU6LW6KxotbXNKnYBzzoXb+wDvR8Ev0iCP23cuBEBtA513LxPUPTD06MTnn322Z7ut7Ll\n", "4N2Kql/DFL2WLRlNiqqTTujGgyoPyfo/aR+nTJki/F2jQDc+WdT0IyYPZoRT/d+9jJ8IFevaa6+1\n", "vcZNJxx25xk21YLW3NxMDfP0ZVVQUGDb+XqtOE4jZvr0/sI7IcnoMWw5VO/Bl3RUf+lvRVE8OZzi\n", "caMfNXqS8b5QsU4//XRXHXdjY6Mn/9482+esoqK1tbWFKghefQw88sgjvuTDaSVy6/zIbaCtoqIi\n", "rntFd0CS0aRTecPMTaFT1HNFMWgfLlEh7045TzLeFyqWFBg2i4qKHN/T0NDAfe3EiRMR4LjLYSf3\n", "6jlz5kxH1+s1EHv27PG9/NRbe1gU3QFJRpNh13PMPFTSIf3cAurV3bqIb+hJxqNQsczU0Gae8XhY\n", "VVXFdZ2fnvxE0k6jMmrUKK50vHT+aqpDQ+s1CCRUKu/A5vnnnzc9l06n8b777kMA+47eCaXnQ0kz\n", "iq7rJyJ5bSaCsMvy6sESM0JjSt6+ysVz3ct4X6lY6o5Gz5EjR2r+uw1DzEOWkVw6nca1a9cajruN\n", "zGhGPwxUrNjR0eFLOk5V/HYVx29WV1fz5kt4JyQZPfotj11dXZr/buK2eK1rooO/9WWalaloepLx\n", "bKhYal5++eWGY0GMIidPnsx9rZ/Pz83Npb95jCr9yMsnn3zie/nZzQBYniD9Hhjdc889ludFd0CS\n", "0aTfdUFNv+MrmDEKnhafffbZUJ6DmY+WdXzhhRfs3tu9jEe5Yg0cOJB5/OKLL/atcJcsWeL7ByNb\n", "EtV0E/iJ0Mk2TC/LLzzkTV+tNVAPZg0thbAAACAASURBVFh51tPMPbQZzYwXX3/9dVd5JxTdAUlG\n", "k17l0s8BLmYyFDhbW1tDeU5UqI6cK2rb+BNPPOHpfk8yHuWKJYpuI5Y53YVgF/3PrdW9V3Z3d2NJ\n", "SYnlNcuWLQslL3ZqVaczH7NomiwNhugOSDKaFFEnnTAsuymRfla80q59ywZ6knFZsYwcO3asq/us\n", "tt2xfB7U19dzpfvUU0/ZXmPnaGTlypVczzILde2U6kBOvb29ntKyKtfS0lJfGihWGqI7IMlo0o/6\n", "ESTNNHSiiJlC88SwllhYDNq2K8Bydy/jJ0LFuuGGG4R/pKjQiZCrbRgURcGrrrrK9XOfe+45T/n+\n", "wx/+4HtZ2GkjRHdAktFk2HW2vb1deLvRF6nfYfXXv/7VdVqY+fCu6cYezCs9yXhfrlh+qswQEX/2\n", "s585uicKBjxmVM/S1Ts6WDNjXgdDZpbLc+fOtb23L6odRXdAktGkaLlk8dFHH0XMZC4ruG7dOuF5\n", "6Ov0JOMnQsXi2cPvZpDhxaCwL3Dnzp3096OPPorr169HAOP63IgRI2y9HXpdTlAvTfhJqwGL6A5I\n", "MpoUXS/9YrZvUVRvS0ZEU38BVVVVOHz4cMu03HpnFUlPMh7FimXWycRiMYPf8Pnz5zsqrNLSUlfX\n", "bd++3fOHqq2t5bouW2Iw/PnPf9b87+rqwn79+gXyLKK98VOLI7oDkowm/ZTbsNav5XKEq/qv+d/X\n", "nOF5kvEoViwza/zCwkJcs2aN5pjagI9nO5rZFkg933vvvUA+lr7j0hsNhjkoiNJSCPGG6HZkbhWk\n", "ifc99RVfdAckGU16kXM3bszdEDMZlewjPOOMM4KQAfcy3tcqVhi85pprXN3ndER55ZVXcl03YcIE\n", "22vsZh5kGcCOvI6b7GwG1Oe9agmsOna91zi3ZEWwE90BSUaTfshbkMRMJrPmOQD8mt6+ZsvkNQaD\n", "zfdxL+NRqFhms2TeLXYsNjY2cl3nV8diRy9qKB5ht5tp8+7b9WstbciQIfT3tGnTNOdIREpefxF2\n", "8RuIBzXeb87DwsJCTxVLMnvJK0Oi/JBIeqe6zcXMR6ckWyf9WhbVp+8XPcl4lCqWXYyDIUOGWHaS\n", "J510EleBXXrppabneIN1+CmAzc3N9L9VGGczqo0EnfCiiy4K9V1Z1A+YeL+hnn4aBxF1r+gOSDKa\n", "9FLX/ZBhL6Hkg6ZTr6XH6pmrZ7m9L0hGyUjRk4z3pYoF4F1VxHu/G6MgHuPCwYMHk4+GANaBlsIe\n", "pKi5dOlSy/N+u172OruysrDmtTHYv3+/5r/oDkgymhRVJ6NEzBSEZISon1R5kvG+UrGsGvcPP/xQ\n", "89+uU/PCt956y3BsxIgROGLECMNxv9e7/FSVs8iz3MFjHOn0vcNyr0zWKXmXdUR3QJLRpN9yiZlE\n", "Ke1cpXshKwpsX7O2P1Hp9Dt5kXHlmKCHimMdR2hARFAUJcxHZgXU5RaLxWDo0KHwpz/9yVVakydP\n", "hieffNJ1XmbPng0PP/yw6/tZUBQFrOQfEaXQSBgg26++gRO93Ly0XzE/MxJVOBWO4uJiV8+55ppr\n", "uK9NJBK2+Xr22Wdd5cMrKisr4fHHH9fk7+jRo5pBwV//+ldHabodFOTk5AAA+D4oAADLQYGERFQQ\n", "VufW0tLia3oi69ddd91lWW6y7tsgG1RxZrTyWbBp0yZfnmEVUZFY0/sZyctqe8sjjzziOl2zIEwL\n", "Fy7kToMsswQV8ERvcxG0HwbRKmvJaDJImePlww8/LDwPfnPSpEmu7zXzD2HnkVVX34WXgZ/0JONR\n", "rVgkQliY+1KD8sqn5/Tp0w3HFEVhdnR2DlHMggupI6z9+Mc/Fi6kftPPQYGZJbHoDkgymhQt+9lE\n", "zBSoZDBl61rGI7OUUFRUpPl/yy23AABAfn5+aHn47LPPuK6bP3++p+e8++67hmOICBUVFYbj+/bt\n", "c5wWAMCBAwfo76VLlxrOFxYW2mWTCwMHDvQlHRZKS0tNzx09etS357z99tu+pSUhAZBZKowqorTu\n", "HqW89FUcG6z6n2iUR9x9zZOVXzxw4IDpOT9U9X4sb1RWVmJFRYXm2K5duzT/vQRPUvt38Eo3QZhE\n", "z0wlo0nRbUNfIGYKqs9Rn+/bb79deJ4A3GlIPcm4yIp19913G16GJxJiXybPQIfsyfcjbsKGDRsc\n", "3xNk1DWnA70tW7Y4uj6dTuO2bds0x9yWo+gOSDKaJPKh9+gJEK34I9lAqxgofYHFxcWO78GMkHmm\n", "FxkXvl0RMZwtJXPnzoWOjg5Yu3ZtoM+pqqqCjz76KNBnWCE3N1ezjNAXYbWN8KOPPoKqqqpQ8oFy\n", "u6IEAyLaL4DMsurXX38dyrMkgkGY8uKl/RJuY6AupAEDBhjOjxgxgjstq3W9Bx54IPBBAQA4HhS0\n", "t7fTMmhpaYFYzNsnCXtQ4DW/ixYtAgCAU045BQAA8vLyTAcFAGA6KEgmk57yoUZra6tvaUlkN8Jc\n", "I4/ioODSSy8VnQWhuOOOOwAA4MMPP+S6Pgx58cUuT6QqDsDat7SZ292qqirHapVRo0YxVX+sqHpe\n", "uXnzZmGqq9dffz3Q9P1UlZq5nWYtMRE6cRNtF3zJivF43JMqTjJ7yStDfttHsbZGB7F0MXbs2MDa\n", "DztipoD7NNesWSM8D8fK0r2MR7liuSFrfdwuOJMbplIp7mv9DKyhTuuyyy5zfH9ra6vhmFkDRp5F\n", "BlReGjqn7jz1fhVaWloclTkP7ewXRHdAktGk323JiUqWG/lsod9tFYsk7o4Zvci4cBsDvzF+/Hh4\n", "5plngkqeYvr06fDYY48F/hw9cnJy4Ntvv4VEIgGHDx8O5ZmxWMzX7YEAkBG+iG9VQmljIMFA2C6R\n", "g4CdO3AJa2R7+yXcxsBveB0UtLe3c13n56CAtSY0dOhQ5rXffvstAEBogwIAc58BjzzyiOHYlClT\n", "NP+3b9/OvDfsSnX33XeH+jwJCRHgtfmRgwK+Mhg/fjzzeNjtV+jfKwqqODMV9aOPPupazVJWVsZ1\n", "XdBr8oRqT4ROyaPCt1PVhx1BraWlhf7W+yMYMmQIAvCvxdltNzzzzDMRADAvL8+3/BcWFnpSxUlm\n", "L3llCDMXB8o777wz1Hp9olC9ZKv31ULY3d3ty7N4+yqn9CTjUalYejsAYmRWU1MjXEj0dGP8yMOm\n", "pib628qoSN1RutmjrygKXnjhhb7k+cYbbzSk7Vd5bN++PZTv+cUXXzCPi+6AJKPJMGRS0pp++VrB\n", "zAcNhEGmreZTTz1l9nz3Mp5tFYs1awzCEMQuhoFdntxSHUTpsccec3w/y5ugXWc+a9Ysz/l2OmBY\n", "v3695n9JSYnvwZnOOussy/OiOyDJaNJPGTyRiZnCDJwivOfq268gaDc48iTjoitWZ2dnKB8aEV15\n", "AXTKWCyGtbW1oQsi4fnnny/s2X7RKiLa1KlTQ8uH6A5IMppUy4iXJUKHsoiYeXhW089ItFFkR0dH\n", "aM/yJOOiK5aeiqLge++9Z3pOv0Vj5MiRjgpr586dXNfpOye/Zv08KrCw7QGCot6PwKRJkwLbxkMa\n", "aJbvAt6lH/3yjegOSDKatJMjzFzkSub8StsqPLukO/a1dtmTjIuqWF1dXZ5fXF2p7PZ0uqXbESwJ\n", "HlRaWsp1vZkzHjcOTEhZ6O+95ZZbhAurX+S1PXGqXVq8eDH9LboDkowm3ciVHcPY9+6ETtfw/fTV\n", "YlYWmCn8rGBQyxvqAaEnGRdVscKgmTUpgH+WoFbr70SQw1rjmjNnjut7S0tLmSNiqzLUk2hZnFZg\n", "t+UTdMAa0R2QZDQZRl0Oi1Z1DzMve8IxW97bi4z3CT8GbveM/ud//idcffXVzHOff/65bcx0/XnW\n", "9SeddJLp/Xl5eQAApDHxFawyef75512nt3fvXqZvhL///e/caTz77LMAkAnk5ARuy+fOO+90dR8A\n", "wI9//GPX90pIhAFEhDFjxgT6DCvHZVF34BMUwnrvN954w/W9a9as8TEnDIgccbNGZhMnThQ+0hJN\n", "Py1aL7jgAuHvQxiPxzX+DXjo1J11VVUVLl26VHPMrZpW9MxUMppUyYdBZkRYwEeNt956q29pBbVE\n", "7JZhfF/e5Wc7epJxkRUraG7dutU0EBOxAfDKc8891/Qc6ZD8XH+zUu3v37/fdbpmAY2cxBMn6/N+\n", "vq9VHtvb212n1b9/f9trRHdAktFkELLNot5HiJozZ8705RknnXRSKO/CQ8wUrjAGEVBPcHm6l3FR\n", "FcsP5zXqxj1qI3XSgX/44Ydc1/uZf7O03GwNjSp5y6u6utryfL9+/TT/33zzTfpbdAckGU0CZKK1\n", "iq4DYdDL4NtvunHmdqIRMwJKfruXcVEVC4DdaN98882BzTgBjB1B2CSRCq3yQbbe+bE9JgzfDbzM\n", "yclx/G2dOjU67bTTcN26dZpjvK6X9UsOojsgyWjSSoYwc0HWMuwJ2BNPPCH8ncNkQ0ODIeqrW+2Q\n", "FxkXHl1x1KhR8MILL7hJA5zk/ZJLLoHrrrsO9u3b5/hZTiEyclk6nYZvvvlGyLP9QjKZhEOHDjHP\n", "lZeXw549e0LJB8roihIMiIiuKKMhSjiFl/ZL+K4EN4MCAHBcSS6++GLNoEAfhWz48OHQ2trqKi92\n", "eWtsbPQlXR6QQUFJSQk91tTURH+XlZUZ7kFEmDt3LjO9ESNGcD87Ho9zX2uFQ4cOMaPExePx0AYF\n", "EhJRAk9719HREUJOwoF6Z4Dduy9ZsiTo7Jx4iJoqzgn9VGs5tZYHAHz77beFq57C4rZt26ghp359\n", "df/+/bYeKEV5DbNbijBzLAXgTRUnmb0UXRf94uHDh4XnISyq7RMYHk6F5y8IepLxbK5Yra2tuHLl\n", "StPz55xzjqP0Fi1aZDgmyrc3ayBzohnnsL4HoZ2h5bJly2zTF90BSUaTYcl3fn4+YuaBTDpte6Sb\n", "5Gjx5z//uek5u0nv3r17bdP3JOOiKpYfQqqOX7Bw4cJAPp6T7XpqEgNC3j30PT09zOMk/LQT9vT0\n", "aASLuDc1e0Zf5IIFC7iuc+odUa0NEd0BSUaTQcjzq6++KrxOeeHvfvc739J6+umnmcfNtp73ReoN\n", "pIOgJxkXUbFY6tv58+dr/kd5a52V7wIeunHlq47i5nUJZcKECTSNt956S3h5qgRZyHPNylN0ByQZ\n", "TbJkpbW1lUumosAXXnhBeB68UL2z6ZNPPhGeH0LMCEdk6EnGo1KxnNBPH/mstJwGECG0Uu15ERoe\n", "tfef//zn0MqMh5s2baK/GxsbQ302oX5pxWljLboDkowmRciyaG7cuNH1vZs3b+apa8LfUU0r26O+\n", "Qk8y/v+3d+0xVhVn/Nu3i7DssuCCsI/gZtmwlN3AJmyQsCR2QSu7QIp0NxaRNICkBaRIVwMFtkTB\n", "toLU9EFpEDC2BIG2mrZCmzbQaJ8U1Fippe1Wq31EA8VWLLpM/7g9p+fOPY95z9x7v1/yS+49Z86c\n", "OXO+b+Y78/i+bFGsuBEEOkTyRz/6Ua68eTqMJ598MuPYTTfdZESwZ86cqTV/WxHempubudLLGjms\n", "brdtd0BIN6la/ukFsiR1Ey0My7u0tJRMnDhRu553dXVpvwcy7V2Ly7gLivXlL3859MGCawh4uWPH\n", "DqZ0Lg/55So3b95MANjcEgMkGw6tra0EAMjg4KCyMjY2NkopFjJ3SctKfX29ch3BmDHu8tZbb9WS\n", "L0kJl8r8xGXcBcUSpcotcCIeEd98802jZbTJe+65xzeiNmzYkHZu165dZMmSJdbLGMakUZa+vr7I\n", "c7Y7IKSbtC3TqkhSD5N3pIPUtbW1GZ9qZeVTTz0Vez4utICUjOeDYunasZCNjAqWFMZ169b5v4uK\n", "ishzzz0Xmo7FzfHbb78tVe6TJ08qr4ukctvugJBu0rTO4qimGv0mqZcnRJlrAVJRX00/v5SM54Ni\n", "8XLjxo1C1z3yyCNc6SdNmhR7vr293crz19fXJwZP0dFRhzHJkudtNKN8PYTdx3YHhHSTNnSSh7zx\n", "RTw++uijSsvhskFDUi8ypykl49moWEVFRbFeu8Ia+bivw6RO8KWXXoo9T/sa0OVIhCVf3UNiK1eu\n", "1C7QSfuVRRsc3sWVtjsgpJuUle+CggJCUhkZ4Xe+8x2u9F6gt1ykifbr85//vPXnBAAiI+PWgyix\n", "4KWXXoIPfehDQveKC8iTFJiEEJLmszvXkW2BWmTKW1hYCNeuXYtNQzCIEiIEvO3Xrl274NOf/rSu\n", "4kQi39ovRDpk2i+rQZT27NmTceyGG27IOCZqFABApFEAAImdii2l8gIIlZeXS+c1b9485rRefdTU\n", "1EjfVxXiomGGvb+CggJYu3ZtxjH6d5JRgEAkoa2tjSmdDaMAwF77pRLDhg2zXQQpXLp0ifua3t5e\n", "DSXhRDYOxenmtGnTjNxn0aJFTOlYvEAGPSOG8ezZs0z3euihh5Q8W3DqpqmpSSqvuGf73Oc+p6S8\n", "Y8eOzThme8ga6SZNtA2qdE8naf8xOklSFZ/IefPmWa9/Hv7mN7/RWWfiMp4NiiU6Z19WVkb6+/sj\n", "zz/zzDOx19OBisaMGZORxpQSunJfl9jY2Bh5bvz48bHXsuxFtt0BId2kSRmPW81eVVUVe+3AwIB1\n", "HUXqIctaMikZz0bFKisrS6sYz2GORzrugiyDi9bCvHfdfvvtRvwV2HItHGRPT4/yPHWtXqbzTTIE\n", "adrugJBu0lV5R+Z23ZOU8PGkF5dxm4oV9qDd3d3WX4BtrlmzRllewZgFtllUVMTt/ph3/299fT1Z\n", "v3592jEe3w1B2u6AkG4yIB8ZMpNvoc/DyOp1loW87u1104RhwdtGRlFKxm0qVhJNxA83FSzja1/7\n", "mvC1LDEStm7dGnueN3a7LK9ever/3rt3b9o5T7lYR1mSlFHEayULbXdASDdpUo9cocyIKMu0py4d\n", "ltD90N/ZRCkZd0mxZBf9se5TjxPUffv2GX+BX/nKV/zfnk8EHn8Eog5NZJVxxowZGcfoBiRpHpQe\n", "EWCNn8DLJF8VQXq+7213QEg3GSU3dXV1xtsOmkkudHWQpCoFCW5MVXh9h5SMu6RYUQxbMc7Cnp6e\n", "2AVqSWQZTfjWt74Vee5Tn/qUUYEYNWqU1PUs4Z3j6CkF71CiqFOmMMOEhcXFxX7gpTja7oCQbpJX\n", "3kTDuMtOS1RUVLDIeOS5cePGSd3fNOOehYePPfaY9WdRVB/iMp4NihXF/fv3K6vEmpoa7vl4lm2E\n", "oo2CLPfs2eP/VrGDIfgctGfCjo4OZ3dJ/PjHP449HzdNY7sDQrpJVbJJUpkpo6lpURNUXTfZSpl6\n", "kJLxbFSs9vZ27p0HEyZMEP4ynT17dux5evhItc9xHop+RbPy6NGj2p9h9+7dSvKhw3YnTWvQtN0B\n", "Id2krFyKLoY1RZJ6SCvMhWi0NuuPKoe4jNtQLJavS95htN7eXi2Vu3z58oxjsvNIt9xyS8axqPC/\n", "58+fJwBARo4cyZy/l5erX/FR5GkwFy9erL08tjsgpJu0rSe2+fWvf51Hh6yXN18pJePZolhxAkaP\n", "BPDuZuDZEhc2b1dcXJy2gFAXRRcZ5hq/8Y1vSF2ftIPDo+0OCOkmRWRuxYoVzGl5PzzmzJkjrVN/\n", "/OMfteutzHqvXCJJCZGJ+4jLuIuKFTd0TysNrxHAKpz0fb7whS9IvyhWhedZQe8yjx8/nvb/3Llz\n", "GT4GVFOld0rbHRDSTdrWK1V6gYznO++8Q7cHWdU2S8m4LcXiDYEbxt/97nf+b9754zDyOtNhYW1t\n", "LVO6qNEAkXURlZWVZO7cuf7/BQsWEAA3PCeqIuu2xqQQsvQUTTB+he0OCOkmVcnwpEmT/N/Z7hiJ\n", "Xs8jQ3qdgWfYm/BrY4oq+qswHjx40P8tI+NZEXbZQ1NTE/zjH/9Ii1jV0NAAg4ODAABQVFQEQ0ND\n", "ifl0dXXBD3/4w9g0xcXF8MEHH/j/48I3s4KQ5DCorM8QxPDhw+Ff//oXd3lUPJPN/IMQqbckEAy7\n", "jAiBaPuV7WBpvxDuQKb9shp2mRevvvpqRhhLzygAABgaGoIrV64k5pNkFABAmlEAkBm+mSecsQcW\n", "pUrq3IqKivzfXV1dAABCRgFAfEjqIC5evKg8/8mTJ8deW1ZWlnHMC0cdBhGjYN++fdzXIBA6YepD\n", "TaSDV20UFBcXK80vCjY+fk1gzZo1+jK3MRQXNjxOz/2T1Nu0zrD56aS98Ul84IEHuIecoubJRebP\n", "g/WvcghQlqqDX7EyaouU7SFrpJtkkSmSSugkXS4bUul7Fpdxm4oV5vynr6+PTJgwQVtlffzjHxe6\n", "TpWry46OjsT8WlpalD2vqoAcIqSNllmzZiWGQ5blT3/60wyPbYcOHWK6lp7ntd0BId1knAzp9lGQ\n", "S/Ps2UYT279JSsDSeP/994vmJSzj1tcYNDY2wsiRI+HMmTNh6UC0fMOGDYN333037diIESPgnXfe\n", "EcqPFYTgPFwSCgsL4dq1axnrOFjQ1tYG586dCz0nIy80+vv7YefOnfgiERmg1xiolDvbwPYrN/A/\n", "eczeNQYXLlzwjYLW1ta0c7SyzZkzByorK9OOBYW4v7/f/00bBQDgGwXXXXddZHm8eezy8nKW4meA\n", "V6nq6+th5MiR/v8NGzZw37OlpYX7GgCAZcuWCV0ni2vXrgFAah1HdXU1AABUVVUBAMDy5ctjr40y\n", "Ctra2pQ1zi0tLfDwww8ryQuR+/DkLkn3x48fz5SPTfC2X3R6k8+Q1FbYgOi8f3Nzs9JyyBp3VkcM\n", "dKwkzyYkfWlUVFTA5cuXDZYoBZavBlM7Dh588EHYtGkT1zVx9Rr1bGHXENyVgAhBvu5KyBa4NOqh\n", "uizf//734SMf+QjrvbNzxIA2CjZu3BibvqSkJLaSVVhd3miCCcEihMDEiRPhxhtv9I9NmjTJ/81q\n", "FIiu7h0zZkzocZZnf//995XU0e7duwEA/DpYsGBB2nlWo2DEiBH+7zCjwCtrVJmD1+zcuZPpnghE\n", "EL/+9a+lro/bdeMqgrukANx4BpNGwbFjx9L+d3d3ay0Li1Gg5GPftcU7UaQX6wUXLgad0gAAOXXq\n", "FFfeSREQg84o5s+fn3H+5MmTRlb3mwhglMQbbrjBehlEF4KyhKEN0vYiN6Sb1C3fJHUTYzR1v5df\n", "ftl4W5HPlJJxlxSLDudrgytXrjR+z+nTp2ccY/WYCCDeUcrutNi5c2fGMdpl6B133BGbB21QiUbA\n", "TGIwDHUSPUPRdgeEdJOm2wcePv7448bvma0xXL75zW8mpnEl2iNJCR7vNeIynq+KpasDCmNra6uy\n", "vIJbZsrLy5UI2LFjxyK3WQVHU0aNGiVc7srKSq70tE+D8vJy46MVtjsgpJs0KYPIDJ1kOmabqra3\n", "S9aVuIy7plgFBQWxe3XpL0zeF0DvcY/ilClTtLyszZs3EwAg27dvJwDxIwM2hcuk4QQgH3lt7Nix\n", "kXVWXV3NlAfdwNjugJBu0pZO8lDX6Gt7ezsBAFJfX2/9GZHpJCnhDP4Xl3FULPfJ4lgjyYj47ne/\n", "y3SvEydOKClzcAjOc+rEWlaazzzzTOS5RYsW+UOZMg5Iwq613QEh3aTt9iAfSVIVryydSTY0NESe\n", "0xG4L1AX4jKeDYq1YsUKoehjVVVVGdHzeMiy3sAbWQj7wp48ebJRAZT9ylelVJ2dnVzpRb3F8U5P\n", "eGxubma61nYHhHSTvPL2yU9+0mg74DEYvTEfSFIvxzhVRArW8ZxSMu66YpkOR2oj/Kn3BR3s2M+f\n", "P6/1niqmCjo6OsiIESPSjr344otp/1evXi2cv8rh0CVLlnBfY7sDQrpJ0+1DNnLq1KnWy5DEsClr\n", "Oo5NUth2U/zMZz7DfY2UjLusWCbm2MMMAR0+sVlWwEbx3nvvTUyTtEXT9I6PYHnuuecerffStXLY\n", "dgeEdJMm9cgV0h8APHz22WdZdM36MwZ5+fJl/3dfX5/18ohQRsatx0pwEaa8+lVWVmaEkQ7Ciylg\n", "GnfddRccOnQoNo0pr5VlZWXwn//8J/I8r596QsI9kTU2NsKFCxfotG64T0M4Bdfbr3xHLsWuoBHV\n", "fkWkzU7Ph2GgPWnZAG9gHw8zZ85MTOPFRdi0aVOsUQAA8OabbwqVIwiR+jx8+DD8/e9/j02zcuVK\n", "0SIpRVgDUFpamvY/WAdRSnXhwoWM6xAIRDja29sT09jqnAMjO5FwoZ8RgTGvjjgUl0nR/fJxw2Gr\n", "Vq3izs+bSmEJFb1jxw6ldZC0cClpNW3wehNeIXXQ9pA10k3alkuN8m69DEil71NcxvNVsb74xS9K\n", "Xc8zr717925l5b7vvvv83/RqWJnVsfPmzQs9zjO/FubBUZRhW3xk1mmI0HYHhHSTJmUwik888YRJ\n", "PVCWV01NjZYyRu1sitsqaJoq65HxfsIybn2NASFmImFVVVVBV1cXHDlyROt97r77bjhw4IDWe+Qz\n", "hoaGjA0DElxjgAiBjfYLkRv43ve+B7fffruRe8m0X9bXGNBKVVBQAI8//nhkei/6oYcJEyYw3efi\n", "xYtw5MgR6O/vZ0p//fXXp/1nmVMDgESjgKURGTduHNO9XMeqVavS/v/gBz+AKVOmSOWZZBSE5e+t\n", "60AgVCNMn/v6+rTdb+LEidryRqSjpaUl7b8KI9CUUSANS8Nx1od1WOmCz2sAsaFD2uNgGDds2GD9\n", "2Ty6NOwHIDcUh8xpWpdNZIp0ZF3k/ykj41YUK+pBwhz9BLl//36ybdu2tGMLFizwf3t+vJPI4oby\n", "lltuUf6iwubB6IV5zc3N3PnyRGKUvRcPeYwqb82G6H7p7u5u5eV2oANCOkhRufIQPMYau4WXXuwQ\n", "ZHaQ5SOOl1Iynk2Kxcvm5uZYi5J3p8CWLVsyjtkKFb1w4cKMY6Zdc9rm/PnzI88tXryYu/5o2u6A\n", "kG7SlHyPHj06dsEtHeI8iQcOHLCusx51OJHLNtJeYoNMctn+ox/9KDF/KRl3TbEqKytjV7fTuwF4\n", "XfuGde4iL0aUf/vb3wgAv1KL6HFytgAAESVJREFU0oaLZ9Z3p5KeHNTW1mbcZ9OmTUx5HD16NO2/\n", "7Q4I6SaT5Ejn9OORI0es6jBJVQDSIO+66y6mdPSItJSMu6hYJigauEeEa9euVZZX0NIWaYDCth/+\n", "7Gc/i5w6CU7PJN1PZccfFoa5rq7OqIzY7oCQbtKkDLpAW6OiHHpqvQwuUkrGs0GxCgoKuF4+7zAV\n", "j+BHfYFv3bpV+4vOt6mCKA4MDEhdHxfGOUjbHRDSTYrIHEldqIUqAqJ96Utfsq7X+UJZWWB931Iy\n", "7pJiJQ2vJ3nQY/2ijLsPb8hgFVy/fr3/m3UBZZBBp0c8vOOOO6TKrcJQoRcbijw/C3lGMyZMmEAA\n", "5BQLmbvUpQ+sI4Cu7JTy2NTU5P8WWQhNUpVq7Dqd9NoOFygl47YU67333lNaCbrmr0UXyXhCG1Qa\n", "HfeJqwu6AbnzzjutC6sqqvhKCuPy5cuD79B6J4R0jwBAzp49a10HdJKkHtQpirqqzycGjVMpGbel\n", "WB63b9+upVOnO8XCwkItWxBpuqhQrlKkczflFrmxsVFKsZC5y6CcmFyrZIIk9YBITTQ1Il1cXExk\n", "ZNyKS+SzZ8+SadOmKc1TV6jNzs5OOHXqlPJ8aUSV3wu9TAi71y0vr0uXLkFlZWVs2mHDhsG7774r\n", "VGbVcKksAAAEXSIjwkHQDTIfeNovD7bCzucKZNovKy6RWYwCT4hY4w7oMnB0GwXecxJC4MyZMxnn\n", "PcWIUqrOzs6MY15dJBkFACDdEZeXl0tdX1xcDACp56PLYqrxraiosHJfRHaCRz6GDRumsSRuobq6\n", "OvKciE6hUWAP1mMl0CgtLQWA/3dud999t8XS8KGpqSkxTW1tLQAAHDt2DADSDZrp06enpR0cHEzM\n", "L8lwKSkpScyDRmlpKZw+fTo2TU9PDwAAXLlyhTv/ID744AMACDfsCCHchkdBQUHGNXR8DRqXL18G\n", "AIDhw4dHlgWBEIFLI2AqEaYjb7/9dmIaU9i4caO1e+cCrEdXZMG5c+egra1N6F7FxcV+50MjaahK\n", "ZPgrm6FrOsZFsDwrTiUgwsDbfm3duhUGBgZ0FScS+dZ+IdKRdVMJvBA1CgAg0igAiB6qmjt3LgDw\n", "D38dOnSIK31VVVXs+aVLl3LlJwuvo2xoaIDe3t7YtK+//rqJIikPsezlly8GEMI+bBgFAPzt1/Hj\n", "x5Xe32ZU07KystjzqP/xsDZiMH78eHjjjTek8qmsrIRLly4pKpUe5KLVXlFR4Q+/u47e3l44fPhw\n", "5Pm9e/emhYcOyiWOGCDCwDtikM3IxfYrX5CVIwYyRoG3DsEzCugFig0NDcJ5J2HhwoUZx0aNGuWX\n", "KYjq6mqlShV2D5VgKeuNN96YaBSMHTuW674rVqzgSs+KgoKCNKPg5z//eUaaoFEAICeXCESuAY0C\n", "d2D0I972PuA4Bp3NBFlTU5N4Lat3MB37dsPKd9tttwnnx+L8aNSoUQQASHl5uVR9qKrX4Lu76aab\n", "0s55fiuinD/x+maPkocZM2ZIPaft/fJIN8kqQyZCH5NUgbTTpWBsJvirX/3K/53kcddVSsm4y4ol\n", "y+HDh0d2lIWFhRkdVhL37dvn//Y6a9PuST2nQGENgs7ohapZVlYmncfIkSMjz61Zsyb22uuvvz4x\n", "f9sdENJN2tYdUT7xxBPWyxDQLetlcJkqvDxKybgLivX000+HPpj3FSzC/fv3M6XT5VoXGU0v9HVz\n", "czNTejqeAs2GhgYCAOT48ePKytjT0yOlWMjcJS0rn/3sZ5XryNWrV63rKTKc27dv15IvSQmXEpaU\n", "lBApGXdBsVyjaDCUkydPJqbxRhi8zsyGACaxsLAwUUhNuSa2GTDGdgeEdJO25FE3u7q6lOZXVVVl\n", "U3djz5uY5rFNKRnPRsXas2eP9UqPY2VlZcYx1yKiibKjo0P7PVRNidChsL/61a9yXW+7A0K6SVm5\n", "ZA37jcxvyk79SMm4TcUK+2pevXq11oUuLAsXw6iqY6+oqEhM89hjjyl73g9/+MPGBdojPU3T0dFB\n", "ent7tdb78ePHyeTJk9OOdXd3C5XfdgeEdJNxMhP2UZBvJKlKUkKXpnoLCgpIY2Oj8boTrQMZGc8K\n", "z4c8YPWPIBKgo7y83HcBfPPNN8Nzzz0nVEYZeIGG2tra4Ny5c8bvrwqE8O+P5vHMGOfxkhUE/Rgg\n", "QpBPfgwQ4Th48CAsW7bMdjFiIdN+ZYXnw8LCQli9enXseQ9vvPFG2v8osBgFdMd15coVPzARbRS8\n", "8sorseVSgWCgIR1GwbZt25Tk4wVGikOwbnfs2MGUL48RG2cUvPXWW8z5IBD5ABsfiNmMoFHgxVgx\n", "BZb2VRquDcXJMjjsUlhYGDkUXVBQELvdLYwrVqzwf9uKwx63XTGb1jFMmTJFOo84/w5LlixhlpMo\n", "2h6yRrpJ27ojyjFjxlgvQ0C3rJfBZarYzi0l46hYmTx48KDQdR/72Mciz4V1YvX19Uz5sqw5aGtr\n", "iz0/btw4pnt55UxyqpRkVAX9R+hcAczi/EmUtjsgpJvUJW8K5VbouokTJ2opj0sGST5RSsZzWbFG\n", "jx5NZs2aFXn+0Ucf5cpvx44dGcdseQRbtGhRxjGXFuqYYGtra+S5Bx54IPZaFq+ItjsgpJs0KeMt\n", "LS1x8smVF296ncw3T4phjHNi5Pl6iSLLdncpGc9GxVLp4S9MQEW/QuOuk1FKlpX8zz//fOx500ZD\n", "0MGUimmDOEZNodDTPbxTLbY7IKSbNKlHrvAPf/iD8LUsO6NIqmKd4bp16/zf2TRFS9WpuIxni2LF\n", "OR06ceJE2v9PfOIT2ip7cHAw41hraytZunSp9hcdFVtAFVnmtViUhFeRdHiOC6NnULL6PrfdASHd\n", "pGq5JKlMfepsv+h7BfVCN7O1g81WSsm4DcXSIYj333+/lso9ffq00HVxixPDFGT16tWhab09+Tz7\n", "Z72Olh5qr66uti6sqrh48WIt+Qbfje0OCOkmdcjdzp07tcgzSRVYO+fOnRt63Pug43Fv7zn2yWVD\n", "woRXSCkZz2bF+ve//620Ijs7O7nSs3x56lrQk8RVq1b5v0VdPEeRjn4Yt/vDNpMaxmXLlqX9D46a\n", "2O6AkG7SlGzmM6OC3+UbZWRESsZdUqy1a9fGPmhJSUlsB8QalCeOXidqqqNraWkho0eP9v+LeNYS\n", "XRPhwgiCtwDUi3Q5f/58oXySPM7xvM+HHnqIAMgpFjJ3GSU3hw8fltIFnTtsdJGOUppvC6B/8pOf\n", "EID/ty9RIycmSVJCSqRk3CXFcoU64m+HfbXTX95R3LhxY2Kam2++Ofb8mTNnmO41bdo0Jc/b3t7u\n", "/05aGJnEuGHIuro6JT4lwgwH2x0Q0k2qbhtynbW1tdJ5kFTFW6HNe0uWW1jGc84lcklJCbz//vtp\n", "x1599VVoampSeh8e97y6UF9fD3/+85+5riktLYWrV68ypa2rq4PXXnsNOjs74dSpU1LPHPZeeNLP\n", "mzcPTpw4IXTvKBAS75aZoEtkRAhMu0ROklOE+9DRX+hsv7LCJTIPFi5cmHEszCi47rrrpO7z9NNP\n", "M6dVqdRTp04FAICioiL4y1/+wn09q1EAAPDaa68BAMDzzz8PAJAo2HHPSRsFSS6p6fQnTpyQfmc0\n", "sLFFuIaioqKMYzrk1NZHjWo38bbAW3866ltn++XMW4oSmDlz5nDl89RTTzGle++997jypdHd3c2c\n", "llUopk+f7v+ePXt2aJoXX3wRSkpKYGhoCIaGhpjLQKOnp4c5bdSXfmFhIbzwwgv+f0IITJ48OS1N\n", "VGfO0kD84he/SPsv885KSkoiz7W3twvni0DEgbfxltFpHug2iqPaPN7AdbpBl3PLli1M17HU38DA\n", "gFCZnIBLc3Rh87yXLl0yOi9jc3X9s88+6/8eP3681nup2KlQVFSUsWCUdn+atDU1zgOaisWkHuN8\n", "NNBl9mTA9lw20k3yyB1JXZAXnDlzZoYOuU56wSdvuV1eMCol464pVmFhIXnhhRciz1dUVKT9Z3EN\n", "GSTtDCmKdGyB4M4BGbJ0yCNGjLAuVCoYXIAIAGTz5s3adkJ4q6HDXB2zxqSgGwXbHRDSTSbJEUkl\n", "0kKdeSPj24NgED1T95ShjIxbnUoIG44pLS2FmTNnRl5z+fLltP+Dg4Nc91y6dClTur/+9a9c+bKC\n", "ZQHe73//e2X3szmnR6+BqK2t1Rby2BuirKuryzj3z3/+kymP/zX6CIQUdA7TZ8O6GNlpWldAtwdH\n", "jx7V3kY40wbZtrhFvo5LS0u5PGkBAHn99deFnQ3xhsAMC3Bkilu3btWaP+sWSxnGBbeiR4ziKGt9\n", "2/4yRbpJG3pNCDHmI8Cmc6G+vj5r91bFvXv3Wi8DABApGXdJsbyGPMqPwLRp08gjjzySdiwYfYzF\n", "ORDrnNCTTz5p5OUF5+UAxEKUijYYtHMSm/TiQIiWyXOjqoJefdrugJBuUka27rzzTiP6RFIFRWYJ\n", "dbwvKRm3pVgqFr91dXX5v+fMmSOdn8pIi56Rw9rRBZ8lSBFnS7NmzUobUfGcFs2ePduIkJsgq4fE\n", "JJ/k9PsNRoKz3QEh3aQOeTYxf62TKr+SFyxYEHo8l0I1Hz16VEu+qmK95IxihXHXrl2RQ9/9/f3c\n", "+QW/zL0XEBfMx0uvMmiU5zo4bJTg4sWLwvlGeQ/kGbr3osLpWpFMv8u2tjbhvGpqahLT2O6AkG5S\n", "h2yH8b777os898orryi5h0sLnUmqcq1RZLTWZUrJuE3FCvsav+2227TOY4etWjfJ3/72twQgfh2C\n", "17Hyrm0Io+iWPx2du4iBxHtNR0dHxjOzTjPQbqVtd0BINxknQ7qn52zHIiCpCsia7YjZxrD2zqtz\n", "gXclLuM2FIteJxBGXgXQZfkeOHBAeZ5h0wNRUwbedkwe4fC+8oMRFqPoQiAljzwjACriIyTRdgeE\n", "dJMPP/ywdV3JNhJCrJdBNzs6OqyXgapzYRm3olgqHjoYxYr+sg7OE7MwaRQh2MGGzXNt27bNyIve\n", "smWLdWFzYZ2C6PoU3pEo2x0Q0k2qkOG4KTrVowLr16+PPc/yAaGCopFTVfLll1+2XgZTlJJxVxWL\n", "90t20qRJWio37MtU1tvVsWPHMo5NnTo1NO0vf/lL7vy9Ff4es2XYj6ecJqaEbHdASDfJIju2h/w1\n", "6wVzWpfWMOQbpWTcJcVKsmyTOg6ehXJRZNnyqJLFxcVpX+GeQcRjfIgubpRV2rAvcHpEJals3rSS\n", "97ytra1CZUmSDR5D89577yUAcoqFzF1Gyc2f/vQno20H0j5Pnz6d9l/FujBZHjp0iAAAkZJxlxQr\n", "iTNmzMio+OB/1q19b731VmIaHV/ZtIvgMIosXhKd22JZmW+aol9aOr7QbHdASDcpKk+q2pSBgQHr\n", "eop0n1Iynk2KJUqWOWmRnRAuzPnrZDAOBSHE97UwZcqUtHQPPvggWbduXWxesgGRRC3xpMY4TjZs\n", "d0BIN2lbL1Vxw4YN1stgiiT14kJ1/vz586Szs9N6GTU8s7iMZ4tiVVZWRp6TjZDFQ9qA8IbKFy5c\n", "mJH21ltvtS4cPPz2t7+tJB9vKJ5DgI0+J+sIi+0OCOkmbeupDqpwOJevJCmhcI4yMl7wP0FHIBAI\n", "BAKBsBtdEYFAIBAIhFtAwwCBQCAQCIQPNAwQCAQCgUD4QMMAgUAgEAiEDzQMEAgEAoFA+EDDAIFA\n", "IBAIhA80DBAIBAKBQPhAwwCBQCAQCIQPNAwQCAQCgUD4QMMAgUAgEAiEDzQMEAgEAoFA+EDDAIFA\n", "IBAIhA80DBAIBAKBQPhAwwCBQCAQCIQPNAwQCAQCgUD4QMMAgUAgEAiEDzQMEAgEAoFA+EDDAIFA\n", "IBAIhA80DBAIBAKBQPhAwwCBQCAQCISP/wIE84jFPiLzEwAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/optimaltransp_5_entropic/exo2" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the obtained optimal $\\pi$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Pi = np.dot(np.dot(np.diag(a),xi),np.diag(b))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Keep only the highest entries of the coupling matrix, and use them to\n", "draw a map between the two clouds.\n", "First we draw \"strong\" connexions, i.e. linkds $(i,j)$ corresponding to\n", "large values of $\\pi_{i,j}$.\n", "We then draw weaker connexions." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAlYAAAJKCAYAAADusQv/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXfYHFX1xz83vYeEDgm9Q4CE3osohCIgKAgqoHRUir1X\n", "FFFABEGaCoIUkSoBEcEfVVpognRCk14TIIEk5/fHOfedu7Mzs7O7s+++Iff7PPfZnTt37typ98wp\n", "3+NEhIiIiIiIiIiIiPbRr9sDiIiIiIiIiIj4sCAKVhERERERERERFSEKVhERERERERERFSEKVhER\n", "ERERERERFSEKVhERERERERERFSEKVhERERERERERFSEKVhERERERERERFSEKVhERERERERERFSEK\n", "VhERERERERERFSEKVhERERERERERFSEKVhERERERERERFSEKVhERERERERERFSEKVhERERERERER\n", "FSEKVhERERERERERFSEKVhERERERERERFSEKVhERERERERERFSEKVhERERERERERFSEKVhERERER\n", "ERERFSEKVhERERERERERFSEKVhERERERERERFSEKVhERERERERERFSEKVhERERERERERFSEKVhER\n", "ERERERERFWFAtwcQEREREVEL55wDhtniuyIi3RxPREREeUSNVUREREQfgXNuknPuDOBtYIaVt51z\n", "ZzjnJnZ3dBEREWXg4odQRERERHfhnBsDnAdM9nVD7HdmbdOrgb1E5M3eGltERERziBqriIiIiC7C\n", "hKr/AyaPBo4AHgbes/Kw1Y3W5pOBG51zC3RjrBEREY0RNVYRERERXYRzbgoweRXg78BSOe2eAbZF\n", "BS3gahHZPugj+mRFRPQRRMEqIiIioktwzk0C7h4N3E++UOXxDDABdcACJgEOOATYExhhzWYAFwCn\n", "iMg9lQ86IiKiENEUGBERAajWwzk33Irr9HYRgApF7EdjoQprs1+yeDlwN7A/MGIIPX5ZI6xuqnNu\n", "SjQbRkT0LqJgFRExn6PVSLQYwdYeTAjdE+DgjPV3A48DaZvCIcnf8aOIPlkREX0N0RQYETGfotVI\n", "tBjBVg2cc8OBGUNQgSiN9YC7gBuALVPrhqLn+r/AKjn9F/lkRUREdA5RYxURMR+i1Ui0GMHWO5gF\n", "eOeoSQXtxhesWwp1hh+li5OjFjEioncQNVYREfMhWo1Es+q2ItgiFGYKfBsY8TCwcrDubmBdYDHg\n", "hdR2j6BaqpHAW6j3ehGOAE7Uv2eIyIHtjjsiIqIYUWMVETGfwSLRJo+mWDiCeq1Hq9tFbUk9jBLh\n", "AoDfpdbdab9bZGx3qv3uSWOhCmp8svaMwQUREZ1HFKwiIuY/tBOJ1up2h+Q2nL9xKsAfUC2fx132\n", "u1Gq8dPWFuDQ1Lq5OTtYmR4fuJEkXFcxmjMiokOIglVExHyERpFoeTg453+IF6if3KO2pBgiMhW4\n", "+i3UdOqFqxvsd92g7dPAdqjtcDKwdqqv51HTYCNUHc0ZBbSIiFpEH6uIiPkIjSLR8vAOSo6Ut92n\n", "gIuB24ANUut8BBswQkTeaW7EH34EAQETRgGfAU6xdTOA51C11h/oIQblDjRq0ONd4Clg9Yz+vU8W\n", "MB24mYqiOc2kHMlJIyJSiBqriIiIGsxBZ8dmsDjKt3RR9cPpc6haQyMibwCbA1e/TSJUASyECkUn\n", "0iNUPQvw51QfTwLH5vR/avL3AyqI5nTOjbHgh0hOGhGRgShYRUTMX3gXmDET1WRkYSFUaxLiWfvN\n", "2+4T9nsutYSWj9CjDZlu+55n0UlCVBF50yInJwG3+vrg3J1h63aBep+sY6m/ZlDrkwWMXQVNnXMC\n", "tVGIK1vd/fRotyZQL7/FhNERESUQBauIiPkIRZFoHlejAlKI3+X899gUGAO8DPwnqA+0JRfMq4mB\n", "e1NDY+az523xSOt/tIgcKCL35Plk/QbYONVX6JMFKuxUEM15HjChXQEtIuLDjChYRUTMf8iMRPPY\n", "kMRhBuq0Hpnb9Qd2s/+XZG93CvMgOqmhKTApbmi/t4jIOxkC6d7AAw+jUsshqH/bcFv5iI1pTXp4\n", "xF6H9qM526HpiHQbEfMTomAVETGfIU/rEeJVYAp1Wo+ri7bz5sDzM7YTkXurO4JeReUamgYmxU2A\n", "cag/1P1Z26d9sn4HHIAGCQylziframAQNBcFmhPN2Q5NR6TbiJhvEKMCIyLmQ6Qj0fZDZ76V0QjA\n", "xVDSoxmogw/wADqZu7zt3kc1XR+g2pN3gu3mxXyBpqG5ezQq4TQSJp5BpSoTaCalo+KayLEIcJ+I\n", "pBkVssY4ERWeRpAoraaj5t5TgUcpiAK9CI0w3Iv61DlhNCfqH5fJEl+EVETi6HnVHBwR0Qyixioi\n", "Yj5EWutxIjoBDkWd12egvFQmVF2NCUdF241GhSroEap6tuuFQ+oEKtPQlDUpDg66K2NSNOFtCVQO\n", "HkHKJ6vR9hcAx5HkJSzAMMy3LC1U3Q+sA3w3Y6M8ctKIiA8zomAVEdEH0A2SxVQk2hnA9JnUR6KJ\n", "yPahcNRgO68YeSC93byEVolUCwhRS5kUgxQ2Yyjh9O2cWxjYTxTvZPhk5UaBzgWus//p1DnNRHPe\n", "A0wlx24ZETEfIgpWERFdRCdD+MvCos0ORJVOI4BFUGqq44C1nXNbltxuBLAwMBuY4Jwb1wvD7xRy\n", "NTSC+o99FjV/hsjS0DTj9P2k/ZpNr4zT9zoUaIKKokD/i0pNCwHLp9ZlRHPmCmheoFqXenyY6DYi\n", "IsoiClYREV1AXyNZtMn/dOBFlDVhBvCQjWORom1T2pJ3SFLd7dLBIXcNb6IC0l+BgeU2KWVSfAN4\n", "HL0Hyjh9O+f6Ad+kNmgzC5lRoNfb79bUJnPOiuYsEtC8YJXlEPZhoNuIiGgWUbCKiOhl9CWSxTwB\n", "z3x9+qH0SBc2KeD91n4/UdiqbyNXQ+PJUhejViCBeg1NMybFu+13KeCLSXVujkURmSsiW4pIIVF+\n", "XhTojfa7VdA2Fc35LLWHmCmgecFqrdR+Pwx0GxERrSAKVhERvY8+QbJYJODNpDUBz4SA61Fz4BbO\n", "uYWqHndvoEhD85z9Lp6xXYaGJtekmIZX821KOadv59w459z3GnTrUcN9dTiqdQP1r8rgvgIYT6A1\n", "zRLQXkLVm0Op1cZ1km4jJn2O6OuIglVERC+ij5EsFgp4KwE7oNKFTfK5Al7KV+x5YAD6fvlrOO55\n", "bFLM1NB4jdUKqcataGgOJaFa8ILV5iW2MzPgzqi5tiHS0Zy/oSfik4nUcl9NRikYcoTqGgHNa+HW\n", "QlVbGQLaAyibQ9voC/6IERGlICKxxBJLLxU0ik6OAJGS5XD1lxbg9ArHMQmQ0SBP5+z3iyC7g9wF\n", "chPIqGQcE4N+xqBcon6dDAHpFyxbuRk4G53PfZ2PPJxY1XF14HpNAWSV4Dx928b/JZC5VjfN2thx\n", "TQm2d/6YH06d3zkgZwZ9jLPt/2Ntra+3Mb7B1LjGAL9p8ZgmAq+F12ckyAEgU1NjfDrjuIAF0te8\n", "v1331DWfAixQwTXIvMc6tb9YYmm3dH0AscQyv5SiSbaoNJpkWxxLQwHv/QYCnk1493sB7YjguF4E\n", "cTbhBgLZPDcphsc4HGR1OyY/7mFWNzypuz99HHnneibIy/b/Jdt+AMjsjHNd8TFN8uP/DsiMQLjL\n", "Kk+TK1RPRAlIw+v4NhoEUYmwXHSP+WfjCFuXd/5jiaW3S9cHEEss80tBo+hlSBNClS+BIDK8gnG0\n", "JODdnhLwsrQ5YdnU2p9EovXYfB6cFIGlUVeiGmFwYL1w+DKwdMb2mdrBe0G2tf9TrI81Ue1XIMis\n", "nTOmFYBTWjyeM/yY7yt57fMEPZQhQlAf+OFVCf5B/4X3WCj8ZWkMY4mlGyX6WEVEVIx2/IhuRMPu\n", "O4xch+qZwNEoT4IAb6FOVU8Af6KHXmAksBENfMWG2u/VJL5iN5KwfPeWk347MAf/K4GFvYP/eFt3\n", "L3UO/gsDV6Yd/CUnKu8R4CD77/2r1qOx07dzbjE00vBPLRyPAz4NehHXKLldFvGpc24gmtcQ4C7J\n", "ThjdMvqYP2JERGlEwSoiIgfNCkglnGtzQ/g9fghckarrTZLFQSgr6OWo1/FmaOTXLNThuX/S9AAo\n", "5mY62X5vQCUOz810aqpdH58Uaxz8jwdesRXjaEo4rHH6PgINCPAO8J4B/c+UcvruBzwtIre1cDzD\n", "MP7RLamfAO5H1Vlp5EQprozK2k+IyPSMzdpFTPocMW+i2yqzWGLpa4UgVQuJeSHX0ZrmnGvPhnzf\n", "pltBXihphmnj+ApNgXvY/n5Ore9NyterlClxHdvm8mD7kWT79HTSr6iN+6DGhPdqcH2zzFFZvkhB\n", "f3VO34Pz75OOmEQxczQgx2Ucw0kgk3OuZdocjQp+AlzSgXH2GX/EWGJptkSNVcSHHmU1T62wobdA\n", "9rkR1Ifwe2yEEk96dIJkUUSEHI4mgN3tdwoZ7JCKu2nAzeTtQTvY7yUkWo88tVtBnr1uoU5jEpKD\n", "ptFIYyL1ORbfn0VCt4Byf60jDXIsOucmOOcuK38YNXgXuzxLZ6zcA7gqoz5Ha+o1i/9pcSxFKOT/\n", "ug01xaYRkz5H9AVEwSriQ4tmeG/aYENvluxzReCVtL9NCAF2BG6ncySL5HA0AXwUNfndjJq9ngF+\n", "AJyZNMkadg+uRvPPhbgY+KDBgPrSpJjHmO7JQdO59TzKCIcicg9Krn45KrDvYatuFPXHKhrXpqgL\n", "3JGFB5CPJTF5+caMlTuR5CsMkZOaZnX7rfK+LIURJM5dERF9Dt1WmcUSS9WFFnhvaC366GYo5oIq\n", "MBU9ii0fnjJ3HI2G8I9M2j4ALEEvRlytSxLRtyHI+NpzVmimeRZk42B5Wdv29/Y7vMC8U2X0Y5vn\n", "JjOC85TgfhoH8l6Lx4BmDdrB/v/E2h9TYlyLAuu2cVwH+fs/K0rxs9SbaaeRHaWIEsEKsEIHzn/h\n", "PbY9yHMZ9dEUGEtfKFFjFfGhQouap81pLfpoE2jZufZWjAX7RFSbNdTKd4AH6WHGnoMGbz1P9SzT\n", "dQ7V3qnemwN/i1J7mwnsAWAvESk0JY4DbgmWvQf2Cfa7I3BWxna96aTfKrwpcBaqvWrVXikis4BH\n", "TKu1pVXflb9FD14hCaxsBevZ7yNprelUVE2YTsicpTW1VEVLoNcpS8nVFsJ77CTgHegxL88ELkVV\n", "b2nEpM8RfQLdluxiiaXKQmuap2egOTb0LyfbtuVci/qpnG7Lft0Hwf+OEmqS4VA9BGRQg/2h/l6F\n", "2roZ9nu19eHs9yarS7fvS87r5GhMdrUxemb5WS1qTNAAzAdtP6/bNsuUGNfawM1tHNcztq+PYsSb\n", "Xmt6Fci7wXEcXqupquEYQ3mrBPhvh87/JNQ1r+ceHAGyP8gvQfbJuH+m0Zj/K5ZYeqN0fQCxxFJV\n", "oUSalrRwFbKCZwlIr4H8mnoW8qmBEJLXf3rS9SXLVGQT7JKoVkhGgeyHmtRmBpNdpwg1cwS8ufZ7\n", "KLAMSnG1sbVfD2UJyBRiz0VNfgJyTiBUbWh1t4A80scnRTIY0zenVkj8IHXcZYVD4Muo8m4Za/9K\n", "kSBm23wR+DotmknRvNGCKoAGZgnVg2gsxNu9+jVbd1rF57yUGX8bkDdS908kCI2lr5SuDyCWWKoq\n", "WRNho+Inwv45672v0fmp+hkNBKt30S/sLAEvzweHQNs2BWTrnL47yTJtk+ZwK6fZPi6zCX0isGDQ\n", "tifdSNpX7N+odiGl9ZAv2vqzQK7vo5MiSdTeO2lBffnUBD8nNbmXFQ6B1dDAvN2t/bUlxjUMWLSN\n", "4zrA9vWPVP1E1JF+dnBsdalpyKYhmUlF+R4pmb7Ga1MngNxRf4/1Sfb+WOav0vUBxBJLFYUGzq6P\n", "g/wjoz4w3WRyK/3O1q2eqp8bbJdnCvwryN/z91djKiKlbZubM55QuCriTKronO5k/d9e0GaRMhoG\n", "n19vnB3XVSBf6WOTYpa2xJv8VjHBaXDquBolYS7Y10KoI/qvbJtfl9hmIDC2jePzgvJ3M9btDnyD\n", "RKgO782685JT2jJPU8KMPx1NrbRKB/YfSyxVla4PIJZYqigU5OG73168C1KrYfDFCwFTM9a9g2qe\n", "oFYwCwWyPA3ZC6gvSCggFeRcy9W2PW7bpes77ZNk53QmahJcJGP9WihFAGSbEt9G/WRuDifAQRkC\n", "SrcnRXK0Ja+jmhGC+yAUGhv5IhXsby/ge2ighQA7N2g/DA1iuL6NY3zc9rVZxrqNcq5x3Xl5EE0W\n", "DaoxqsI8TUkz/k0g+1L3YfFXOvRxEUssrZSuDyCWWKooRYLVXJBFgokgT7A6LOdl/nVbv3u2UFM4\n", "GbwEco39n0Zu2Hqmtm02yD9RH6ssZ+/eCC0HrrF9nIVqWU4HPhaMe1iqfWhKPByYbvW7AC+mhKl3\n", "gQv7wqRIgbbkDZSNnMallHCIaqouRnkE37Rtl2iwzXGoKa+l64xG8AkqKA/OWP8jYFKZ8/JfO96l\n", "gnPUrnmakmb8c0FerH8Gux7sEEssYen6AGKJpYqSJ5z4cpi9hL+TL5zIqBwB6WnUlNUf5c5JCUg3\n", "5U3IAnIyyBoUm4ryhMI5NqF/DTVJZk00neZ9Qp2sBeXd2ghlUxhUctvtgZ2C5Y9ZXw/aMe8FrNEH\n", "7p1S2pITsoWpGaR8kUrsbyiwPkoWK8BLJe/vAW0c4362r39lrPsMcD2wYpnzcqEd+44Zz0kr5ulG\n", "z26Y4ulo9GOltz4sYomllRJ5rCLmafh0NaipJJdbaWf7vShVH/DePPs22WzoS6GpWeagTijbkvD6\n", "AB8nhwsKNCZ9eZRV3JLrTqdkgth+wGHAL4EfozxcL5TZsFpMsd+FgDtF5DkReT9s4Jyb6Jwbld5Q\n", "RKaIyJVB1b9QDc1qqIC2PHrauo1SyX4H2u/GtdV/FpEDRdnUS0FE3kNvoY2sqgwP1GDUFNgq1rXf\n", "/8tY9zKqEUvf+pnnxR/omqnGbSRBzk1f8yQayrgN+uBsjTr1Qd9i6o+ICBEFq4h5EjnpavaC7DQt\n", "W6DEQY8BT1hdKg9fLlkmWG4TNH+N1XuyzDdQJ+/pWWSfq6PhVrOAAbrdSOBKn2vQ8C4wY2Zqn6AM\n", "pqsA/0OFuqODdb1BqCkij6OnbQx6GnHO9XPODQia7YNqX+rgnBvmnPu4LY4DnrL/uwF/JBHcuoK8\n", "1DUe/wT+hBKD+oF/pLZJq3kNf0ZCDHpNgzGuiMoRX2lhPx5+X1mCFcBjoqSlfp+55+VO+00LVlB9\n", "vsdL7XdBlJD13HY7rABlc49GzL+IglXEPIUGiZKHAWTl4RsE7Gr/L6eeURp1sN4OuDZLQNqLGjwA\n", "bC5JotxTgZHLAJ9GJaeZVkaijjGfQMO/LF/gBODPvjMREXK0bf2Azez/dcBvgnWBtu1iYFgHX/Je\n", "+DnZ9nERSjAJgIgcISJ352z7E+BM2+5NVFYB2ENEngUOdM7lpd7rDRQm+/0N8Dn0ZvPawhTjd9Pa\n", "EufcMSjB6gpWdUeDTY4ERovIZ5vZT7C/pYFVUeLZf2c0WZKeZAQ9yD0vj9vv0hkdtahFyv2wuNh+\n", "d0Uf0q8G63qbqb+Z3KMR8zm6bYuMJZayhRI8NweThMinuZXOt/olqcvZdza13DzvAP9FX5yhH8f1\n", "9v8RzKeDDD+UuSjP1QySiMAvgVyORlRl+aFk9ePL6SBjbJurrG5abT++TKciTqHUefe+UW9hsmYT\n", "2+4OLB8sDyPJULIUaqVdsov3VG7Qg4B81M7tNSTkoBPrz3tT/m2oCXRhVBgQMqLxKj7GvW0/dYzt\n", "qOA7BdiuzHl50455IMi3cs5ZK35/ZDivv2zP8kDb7zkgrwbre8t5nRZyj8Yyf5euDyCWWMoWSqar\n", "uR9l/U6/CDNC/F8u8bL8O5YAGVV8vWH115hgUJqU9Esot1UB5ULu8f3AttkUTWY8rhdf8qgSwgtD\n", "mUIQsBJwUMn+Lra+vgxcW7Ug2OSxFTpOr2Pn818kyaS/VXuem3acRrU5niPs9ZLtd2zjGH9t+/pZ\n", "xrp1gGXTQlDeebnJjnsxkGszzlerDuVkfFj4pN3booS7IUnvNHqHqZ+SpKWdyIYQy7xbuj6AWGIp\n", "U7JevEXl6VrhKtQ8eXbpV1p5WaLcQ4JGAw4pmpTTZS7IKwWTDwVM5m+RCIb+dyFq6SM6nPLmCuvz\n", "B7a8AAHVAupj/JmcbRcGvmX/l0QTUAtqAlsY6NfleytXOPYcVreRaEL/VytYNa0tQTm/PH/VlQ3a\n", "bo/yhf28jeO7x/a1bca6nbE0RWXOy8mBYJVFYNuOFonUh8VHrK9TQZ4n0ZBNo/eY+tNjKnrf9KXs\n", "AbF0t3R9ALHEUqYUTX55JXzJk3ArHeonxVZelmhQ0iyUNHMNKM4XGJZpIAuYcFWQ1iYzKfLA2slc\n", "tqQ2V1qnX/LAQdbfq7Z8HrB1yW0vRf3SHNAfdYGbjQZaLmLXZ1wX761coX11O4832O8YkPtqr0VT\n", "2hI0nuEvwEm2/TcbtD+JNkyFqCZxrp3vkRnrJwPrlD0vB9pxT865v9vRIhF8WIwkYet/HuWSu4re\n", "Zeovui/ynrtOZ0OIZd4oXR9ALLE0KjQw17wDcgFKqBnWZ2mGUAd1gdokwM28LNFgQvHC3uCcbX8B\n", "8s1geTbIlSA/osYsmemHQjaTeU95DOQ96pNDd+olj5o9BXifkjxWwbafAkak6rzwuD8aaDeqy/dY\n", "pmbC5wb8q/2Op0bIfb+F/QxBndbvsj626fBx7Wb7qUtLZALvGcBRZc/L+nbsJ2QIVVUI85T8sKAX\n", "/Jlo82Oum/dzLN0tXR9ALLE0KjRwMPbOxOm8fEK9Zsi/LAH5bosvS2DtQGD7IE/guxlkK+q/do9O\n", "+mvoh0LCZP4HQFa1bfcB+ZwJar31kke1TkKBpgrVxqxVoq/9ra+rUbPswC7fY5lm2IXsHP7YfvtT\n", "M7m/1uK+VjMBVYAxDdouSEnftZztj7X9/DJj3eIm6NUxsWedlxEk5tBX7B5rNaVPiXF70/PM4HzX\n", "JYbu4P2Q+zE3B+SunGcukpbGIhIFq1jmgdJIsPKT3qcbCFbhyxLUKTZs+w7IJSVflijZpWD+Qumv\n", "Wh8Z+E+QWal1+zYp8ITjvsq2HYhqCXyfYQRip17ywC+sv3/YmFYjlRQY1cbUMYQDywBn2/9RaNT+\n", "HNRE1dGouCaOr05bklOus99XW9zPqbb9Uw3afcfO5xfbOKZ/277qnN+BTwK7Ztxr3mw+Cf0QmZ4+\n", "B4PoXMAESvnm97kqsBjw7d4UVIreOafa8X4t533U6WwIsfT9EnmsIuYF5PLcAHhyn0tRPgCPDJ6b\n", "YcCIQbb+HnRmB1UfrIHyTd2V6j+Hm+dE+10KElLSqShv1ShgBGrjGokyUt+D8medl3R9et4Bp9Az\n", "7tNRW+YHwJm28liUefOGcuNuB57PakPr7/P0UHMpRORxEZkd1jnnFkV9hRZ0zvUXkbdReq67UJ+r\n", "bZxz/+ecG1PBGFuGiLwpIttTK1B4eLb5k1H6AujhfC0P59x5KJ8XZHNK+XYD0dvzCRE5udn9WB8T\n", "gfXQSf7m1Loh6C37nC1ncTTVcMUNDLZ/n5pn6ww0z+D2knC7tYNN0cdnGpqw4OfA30VEKui7LbxO\n", "wtK6djcHEtG30W3JLpZYyhQa+DtsZl+JpwV1GSa84aD+TT50/pag/f5Wt2mG9ifDpNgf5YwUzF9m\n", "aOoLPosGIYhUvA7Nmde/xLH3jPsFkD+TOFJPB9nBlrfo8NczOrd608xyBe36AYumtpuc0c7nIbwY\n", "Te/SVXNgxvhccO0usN9/ogSpArzQQp+LowmtBfh6h8fv/QmnZqy7x87/WaS0dM5+0xGz21r9WnSW\n", "XgA4wfo+1pZXqOL+zbi2XjNXpwkjxxToc45ukPGO6ISWOJZ5s3R9ALHEUqbQIELnD/ZC28iWp1Ef\n", "oRS+LD9n65ZCfSYEJSH0PjUXl3hZokTQXhswM2syEjRUfyLqo2Lt30OJqwv9a4L91L3kvRPx8SA/\n", "BRlgy//t8Ese9aES4LCCNjsAZ5Xoa5XgfNzQ7XssY3yDbXwfYMm2UfPczvb/+Rb6dGiGHEHZ+4va\n", "Lg78pI3x/9T28+uMdYPI4GjyJKhZEbMb2rpz6Ry9gJ2fp6zfjW35ZJoMmCjoP8u8mUmsS+pj7h4S\n", "P7v7M95BQnRej8XunW4PIJZYyhYKOGWmk2iDbih46fuX5W62fnzqy/MUq18SZGaDlyXqk9PDkdUk\n", "fcPVaK68g0see89L/nWQS4Pxv08SBv9pEn+rTrzkUaumoCaa1VBr5xKpNi5LkEOpBm5CNVoDTMDw\n", "DvG7VCX8VXisC9jYZmC8Z6j2ZHwbgtWCKP3BXDLoD6zNKOAcNPH1J1ocuyPhyto1Y/0ewH/C+/Zu\n", "Ek1V1n3sny8vVHSCXgDl7BLU6tbfBMD9Kuh3DPoB5MfbkFiX4GPuKZA1rM2uOc/3NHqHtDSWvl+6\n", "PoBYYilbKCDQFJBd7KUWhGbXmSn8y3IUyikFtVqe90EWtvpflnhZYiaiATbRXG1CXvql+xyqtXoC\n", "5eix/q5BXTW2KHHsPeMeZ8KT1679FGT31AQxvPY8VPaSRx2JBdXiLIe6nDScVFGfqnNQFvABVtcf\n", "dUoWNL/uUxREqHXhfvPH+pIdr6Bua5564pUm+9saZfIX4KGCdsPJIPNscl+boj5aAiyUWrcC8PG0\n", "EOVN4Vnm9mm2bgC1wRgdiDz9gfX3B1u+AtiszT6XwWhLWiAEngLI4rZuGPphk3V+IkFoLL50fQCx\n", "xNJMIYfnppkIJb+9F5iOTk0W21n9SJAVGrwsgQtBw9BfAfk2yEMZL95Z1u++IDsFkxGaUqSUr40f\n", "98o2GR5af8wCdZQAheeixWvwnPVb5zeVarcXMMT+jwVWymizkvX1RpUCYEXHuayNzZvuXgEeIsm9\n", "N63J/gYCX7dtL+vw2Dez/TyQqnco4/2VoRA1l8RUnaYX+AA1mQOyZmpdByJPPUv89rY8nDaEbfRj\n", "7G1omRB4DKbZA+RjGUJZb5KWxjJvlK4PIJZYWilkE2j6iCahmGupR/MFGjr+u9TLculawSTzZUmK\n", "vuHogpfGk0tMAAAgAElEQVS2Ly+a4BVORmhAYsNJiRQz9dhgjLuC/Mb+L4KaazqY3ubH1udJDdr9\n", "FBjfoM2awcR1Trfvq9TYVrVxPW+/U4HDScxVT7XQ55W27dcatFuGEn5qBdt/3/ZzatF964WEGSQf\n", "Kel7di7Jx8ZeGeurCpBA/Q7FnmEvkJ/fzn2Lmf/aYU8nCTboKTEJcyxFJdItRMyTEJF7RORAYDQa\n", "mj3C/h9nTfYt2PYNYHM0ATDvAwcDQ62sgtIiBDhAssPIhwEjfBj6Kai9CNSBJgujUbVFQIOwHRpl\n", "Nj5vvBnjvno66oSykK2bDnzRxv4yGqZ4AipNGR/CBODPjfZREp52YQ/n3Fedc59xzq2QMd7visiz\n", "YZ1zbgPn3JPOucFWdSzKiwUw2zk3tKIxVgE/Fn853xKRE9GJv1Wsab83Z610zq3rnLsAeA31q2sa\n", "zrlBwBa2eENGk89iFAorZ6ycnVp+G3WMg45TDOxsv/8SkZnOOe9r9lbBNrlwzk0CNgF1DFyqxDZL\n", "WVvDIc65Cei7RIBfYY7vM+ko3UTEvI5uS3axxFJlAZZHX4LvkuMcnGp/o7V/j1pN0j9JiCDzzIA9\n", "NAgr2rZ/ti/fT1BL5eDLSSDrUuP/tBKwLvAlYN+SxzgJ1HRzFQkb9t0k5IUrkTjldyC9zVg0X6IA\n", "G6CmsZVLbHc4cAxwILXRlZ7J/iWUW6lPOLGjk7KQRKn91upXtOX/NdnfbSSkqMNy2gwElm1z3JuS\n", "JBtfLLVuO8x3LNROhabAQ0nM2U+hUYBeO5POblClKRC43vra25YvArZro7+eLAtlkqTnHJN/P/w+\n", "6LeQqiGWWLo+gFhiqbqQ+Gk0jCZC+TwF1V5tRMLQvodNrG/Z+jpnYgKTyvftZby+vZxfsMlqtglT\n", "IaXD+cmL+x3/YkYdwceWPL6eCMG5IIdYfzuB/A81bQLyj2CyqNLJGI3ou9P6y80zZ223AI6w/4uQ\n", "kRPQzuMT1l9dBFsX76OP2Jiesd+TUf+ylW350Sb728a2m9bhcW9o+3k4VT8Y5QxblIxUTN55PTT3\n", "3QCyMQlH2wspIaSq+wqNlpxt4xoT3Bf9Wuyv59nMy9jwXoFwlTLzvUxJapRYYhGJpsCIDyc8U/W+\n", "Jdpeab9bA58UkXdEcaGI3AIcbet/65yrYdoWEUGjAnkNdYC6A7gdVQk4VD3xlWAno6mh2z7P+gCl\n", "IDiw0WCdcw7YE9R86YBv2cZ/Q80TP7C2Pwu2OyT5u6f10TJEmdVPsMXtnXNFrO5PArfYdi+Lsq6T\n", "OpeTSU7RfvQdeFOgJ+v/L8pj5c9fnsU3D6vb771ZK51zg5xz/Zxzqzrnrmqy7xBb2u+tYaWIzEI/\n", "GF5GqT74XbDe3yOXoJIkKO/D/1B17hhUIvN4Gs04YDiljfGCcp/1R82Ab1jdVWhSgVYwDHUPyMWJ\n", "wHdz1knt4lPBmCIiGiIKVhEfRvwFnQs2d84tl9UgSOHxmFX1R30qzrBUIF6IOROdiJYHvpDR1amg\n", "XAF7WsXxwcq/orOodx5JTUYP2mQ6Gvg9MNg5t0JagEthGOYf8zI6c44nYaw8HjgIVSndgIawQUfS\n", "23jagC2AvznnjnLOrZluJCLPisidYZ1z7qPAK845P/FtRuJztJ5zrtXJtGrYKesRsP4jImfTwnvT\n", "OdcPNflCSuAJsAt6vz0GHNrsPmw/I4GP2eI/M5psi0ayngpJKiZQUrIVUeF8W6v/HfoxAHoPeYny\n", "adSm+LYuXi0imcJiE9jdfq+w41gGlXueb7Nf8lJhPUP2l9cjqJ3b8DRJCqOIiHLotsosllg6UVBZ\n", "R4CfpurHkKJrGFCr9vflGWr9rsSW6zh1fH/Lo+lA+qG8VYISjnqerGnUhHM/h04cX0cZ3IdaXxcD\n", "EwqOqyc57DWBuc9TLwxFaR88p9ee2eaNKtLbbEZCu/AJ4KMURACScFddiGqlNkut74cqRwS4u9v3\n", "j43psyQmW8HS+KBRnAI83URfe5KYldcpaNcWjxfKVv6+7WdcUN8fOMLO82dQobGGcPc1kGNBJpBE\n", "y05EsxkAciSdoRdABVd/jsdb3W+Aj7XRZ03EbsjN9ReQ5wvMgJ+pfebX7fZ9GMu8V7o+gFhi6UQh\n", "8Wd5GvPTICOFx8Mm+ICS/42ufanKINQ5PSVg1YRVh/16DqmDghf1wyD71W5/P+ZPhSqXXGrsuTnz\n", "yAiV9+Vj1v9SqOO8H/9LdIRvaGngNOuz0L/GxvwgaiEdnbd/4LfW37Hdvn9sPN7/bq79noEK7Gva\n", "8gNN9DXKtpldJDyZ4DOgjTGvY/t5IlU/GrUS90O1owNJEe5uBnItyBsgk+vv+TDgIvM5aGPMO1l/\n", "d4X3TAX99jive7qFOSgB8FCQdzOEqqdIciWiwSvROT2WpkvXBxBLLJ0o6Be6J3bcwupyU+IsHkwY\n", "o6hnZ76oflKp+VJHiUtrUmYMJpPr5trUdj2RRdbHb4HvNji2zITUNwTC1GMgO9ryd+hYepuJ1udz\n", "FGhhrO3ojLrFg/+fIyHefKbb94+NySeJFjRicSNUU+d5rO5roq8t/bnKWb+YXf/VgDvaGPNRtp8/\n", "Z6wbRCp4gPKEu6FgfjoVpbCxMZxnfX83qLsBWKvNfidBopH2z/05ID/MEKqmgSyRHOdcG8PQbt+H\n", "scx7pesDiCWWThXU8VzQL/TCJM7L2gt1TMZ6T1vg08YEKWlCduaaySmn/CclVPlouHVRv5jvob4v\n", "o1F3qcyIqPBYrgb5sY3v9WBi+G0gaI2sHXOV6W0cifnuDpTnZ+MS2w0BPmnCik8d8jkTKrz5Zpc+\n", "cP98I7h2jwX1XqBsRrDyfd2Vs/4g4Kv2v6XJHPUt9/QA+2asXw+4JmfbX6J0ByHh7hyrm2NlLBVr\n", "cNAPoNdsf2tY3Tpo2p1czW0T/U+BROs8CmQfkCuD59ubN4NnRIBvd/v+i2XeLV0fQCyxdKqQhMW/\n", "h/rpZuZBuzt4oaaTMt9GknT1meBLfliyzeakzIu/sHUrWd8pn5QHUK3CaBvjV4DFUaZtz/TsUD+k\n", "QQXHNgU05Y7nzpoN8vngON4FWax2sqg0hxnqH/ZP6/tbqIksNywdDalfATXPTgCWzmjzB+vvzj5w\n", "//wgOHeXBvXe3FaaboEkI8DnOzje9VD+NiHgwjKB6Bf2/zOkuK2sfnE0As+hEbK32336GevvwQ6N\n", "eVPr/wkSze23gc0r6r8my0JYGmjmIot6LC2XGBUY8aGFiDyCBuUNIaAoSONU+x2C2g5/QBK5tzZq\n", "9wCNvvtq0Nbwd2DCKujb+wTUQ3gx4FHgTTTr8AP0MKCvgbKNL2NjPE5EXhCRaSJyj9UJal4rej73\n", "Bh543I7pCOBxG+tidhxjbf+GWWjuvipxNQmb+/Yicr8Uh6V/FE3+u7yIPCAiT2e0ucJ++8K7KWSB\n", "f84594RzbjuS4Li3m+jLX4q78ho45wY45xZpcowhZqFjfhaYFtRLsN/FMva7FJr0+Dm79/6FPgJ3\n", "k1BN3N/GuIqwi/1eZvsGOFFEbqyicwmyFaTXefb0kaj61N9wlklhMnCjc26BKsYRMX+hL7y8IiI6\n", "iR65KSuFh6DeyKAU4qCqhcl+I5K0MaD2nAXQdDK+iUMpon3KjEEksfIn2u9SqARmeVz6Ezx7zrlh\n", "zrl97f9w59xPUdPQuDyOqHDCeNv2swpK3POqtQnSbrxvu94g3U87EJEH0CjG2cDGzrl9nHOLFrS/\n", "QESOF+XBwik28bxazrlDUVPgbGCShdx3EyEP0rOoVu5ekmtXisfKOTcWWBI9rrr0LJbGZimU0uMv\n", "bYx3C/u9KxBS/L1yuXNuNRH5lYi8mNruTeDIYHld4IeoU7mniKhcsLLr/mlbvMzuh+HABUbJUQlE\n", "5E0R2R7N9cgqqNQ5w8qbVuYC66MfJyvqplWmgYqYjxAFq4gPOy7CaGkkY+W79AgfeFXLTdR/1vt1\n", "I0iSEXoIKnCF8FxSV6A2DlDhKpgtDjEySIf6xhztnBuImnOWRk2Ei6CCSyaCCWNjVNabPpOeXG/+\n", "cA9EkyZDLcVWJRCRt1Cn/X7AViiR6rZF29gEuhgadXcWiex6H6p4u8aWv1L1eJtEqLF6VkQuMqHE\n", "vzfLEq1uZL/PoSa3NDYEVjQN65atDNRyNXohpU47g95+R6crjTPtHuAFWx6H3o9TgbNJSE07obFa\n", "HVgClW/2IUmiviNwScgp1w6cc0uYpnHSKPQDZ2mSnDSXoskqF0BJdvdFwwFH6eaTqxhDxHyGbtsi\n", "Y4ml0wXVAgjUUxTMSPlWeCfX50jCsd9CndtnB75MawfbeKfXqam+d7X6w1OOsrbdO6gQsS06QS+d\n", "Me5+lHRkBpYlyWG2LPAj28991HIbrVHxub2OxBfpXHSiLKKLGICaQqeic1ldzjyUHVxQxutu3jdn\n", "B/fGZkH9Rlb3n5L9XGLtT+zgWCeQ8GStFNSvBvzO/n+WVDQfKj8MDpbPQBU6G5AoQIWAE6vCMf80\n", "fPZAI/gGpepo098JZXCfDfU+lu+ALGj7+VXwjAudiaSNZf4oUWMVURpeVW+lrbQovYyz/J9TUyvS\n", "eS/mBBt4NcN5qBarvy17pkWPT6X6FtSO4tUuvydxxgkY0IehPizXiiLL32g8cHKZcy0iT1k/74jI\n", "UyjB4izUoXxXElexbzbqq0l8BbjM/n8MeFFEPigY52xUO7KFqMbt3Yxm96ET4dKm2eoWQo3VAs65\n", "/9l//96sM+vlwPspPZTXwDk32Dm3TpPjCzEbFZJeJMkmAGrCPMP+v4UqaUMchibH9vgyKlC+ZP0t\n", "iCps22ZAD+GcG4M6xzMMfZ4eRiW6N+3/EfSwvrfr7/RxTJGb9rH8GRqSOBTVXJ8QrKsyDVTE/IUo\n", "WEU0RJD+xavqZwBvV6Wq7wX8A3gFNF/IM8GKnsR7qLO3mdG4iSSn3/PUvnBBbScefna9ABWqHDqb\n", "vYdOGtMJJLtaXCgiPRZK59xk59wl9n8TlFTzUmCic279RgfpnBvhnOsPICKvoSznoJZN7+71Kefc\n", "Eo36KgsRuQ81Ez0NLAwc5Zz7RFFaHhE5QUSm25id+WYNtOUj0Gwpj6Gncue8fnoBY+1XUBoDb/Ht\n", "F9SXwXr2W+cv55z7rHNuWTQi78j0+ibg/aumhveUned7nXPbA1eKmhv9vpdAtTnH2fIAVLu2NXrs\n", "PkXRo2GfFeGvmOB6D/p8rWwDucb+n4DeWBb00Y6/0xBg8GBqfSwfQzkmQL8Mvk2thNmBNFAR8wu6\n", "rTKLpTuFxGzUQ1CZ0aaOnyknRLnPhyYDv/DjTROEerqF4SmTxJu2/mWUduFWkJkokeCooJ0LzBcz\n", "AvPhQkF/S5iZIc2Ajn6UH4T6y+4F/MTGOwBY3f7vAOxc4hhvIKFsGILOWbOBD1Afm8ts33/swPk9\n", "xfo+HaVgKExHgioKl0Pns5uARa1+GdTnaj/rL5P3qZfumX/bGGak6je3+ptL9LGYtZ2OmeRS6w8E\n", "lmpznOug9AgCHBrUe/qChYGzM7bbGviW/R+IKol2RxVHQ1E6DQFOrfi8TvLPxZbBc3ghyB0pU53Y\n", "sxrQlZQmJgV2s2diTf/u8n3OBdnC+twnY5++VJkGKpb5p3R9ALH08gXXl9oZBHm07P8Z4UuLnPQv\n", "/oXzsNUFKWDazhnW4eN9JzheGWU+FP6YfAqPULg634QuLyxtCbIeSb6/yXYOIEmDMSM4R9elBNAr\n", "qPfbAE5CQ+FzJwxUQ9Lw3AL9M+outP09Q+K79CoVMUqjCoUpqMOxoObNhvnuUGXBjaiZrE6wN+Fq\n", "tpVcbqwO3zv32TE9lKrf0h9riT52sLY3dnCcK5D4Qq0e1G+HCdGoxXqX1HZbkeSoXATVXn2HhLTV\n", "M6LvX/F4e1LNnB08L38DuT9HwGnF3wn1X/wf8BNSaaAuDz6MpoL8KWOfVaeBimX+KV0fQCy9dKGb\n", "1D5RkP4l/TUZJBaulICy6uPNK0PIzAcoq4AcDHKfvWQnBOsmoDnVXkPzjmG/IbmoUJsjcENqvrzX\n", "tnF+H9g9NfbFSZLRTkDNJke3eB48S/j7aMj/VFs+sKLzPAj1BRuOuqnMBRYpsd2SwMIF6zcPBJvP\n", "dukeesL2fz3qd3Sx1W/t60v04YMI/lLQZjiwaxvjXIFEYHZBfX8STeBaBMm9UW3p+ZjQitJxbIUK\n", "4l6wesD6Xb/Cc9qT67I/yKspQeZOVENclZBj538PgjRQ74IsY/0NA/kXyBkVCXOxxCISBav5otC8\n", "9ulR37ZIqAqFq1ZU9b19vL+1MW4CsheZSWW9D1lP3SDqhc8tUxPCFlY/EmRW6tzMQFnQU/uZEox1\n", "40CIGmQT3BXAd6zuc6iA6FBXrUJGatSUtlSwvAGqERPU7LaX/X+dis0bqHuMoFGC55ftHzUL/hDL\n", "Y4c6UJ+B+oUJ6uDfjfvIa4HONeFlS6v3Cb7/WaKPa63t19PPhh3f4qiZ9pg2xvmFvPNk980BpLSZ\n", "do6XTS2fg+aq7Gf34RxUUK7sPkGFSAFk/dSz8muQtexdcm3Ge6asWQ41Yw63/wtb6UkD5QWmNUB+\n", "RP3HkFBr7qfCNFCxzB+l6wOIpRcucmvap8z0L3mlL33d5R3va4Ew9SxqegiESV/eob5ORoIcAHIS\n", "yL32Un7NXsBhjrHNqRdaP1nb11tkmPVQv9l/oIzqWwFLZLRZHhjQ4Ni/BHwqWN7UBCoxQWEZNHJM\n", "qDAfn03gPmnxVag/1xYNtlnWJrzvoo7JC1v9SNTHbEnrb1aVk3sTx+Tz5v08Vf/RMoKVnZOXrO2B\n", "wG6p9bvTZj48G8vdto/Dg/qhqN/UMNQP3KW22wdY0P5/Hk0QsBXwN6vziaafqPic9ghWxwfPyWkk\n", "qaAGgLzYnmD1eTT68ZJUfY0G+8YCoaovauFjmXdK1wcQS4cvcIPkw1kvFf/iSXM+FZW+4o/Q6Hi3\n", "s3GulBKcivKG/RHkUtv+XJCfgIwFubn2Bfxmyf7mYhqq1LjPB45scGz7UmA+K9jOYVpI4GWShMD/\n", "qOicH4qST64QnItCAdC2OwQV8nL9vUjyvO1WxVibPK73bN8Hp+q3tfpbG2w/ztq926lnAnWOf972\n", "s3ZQvwdwZjDebwTrlgUOC5bXRANmBwV1n7U+c02YLY53iH8Wrguey9tAVrT6b1fwfkE/UPZO1Y0h\n", "4fqSg0BWJdEy+2TMgaaqT/qNxtL3S6Rb+PDjENBMquNLNPYU2FnpXzwup57Apw+FJh8CGlK2VMbK\n", "fez3UZSkx/PnvGfF8+eEB/AFwMeo740yYM5BVQUPa/UDqCbobmv2fpBOxgcGbGD/Hdls6s8AT4YV\n", "zrnjnHPLGyXBmcAxwMJlqBdCiIigvlygQs8ZqBZoG+fcps30lYM/AT8SkcfRUzsa2NA5N7RoIxE5\n", "FVhSRN5Lr3PO9XfOHYVGDEJCF9absLRxPOWce905t5st+/dmo1yBnmbB5+Crg3NuAefcl9sY42D0\n", "lnwLvQ8BEJELSWib7kO1iD2rMfoRw2hUk3RFUOepFqpmXN/a//lbUPk3lP5gGeB7GRsF/HMX5J3L\n", "FB6nJtEBoGb3URirymnAf9GDH4pGYZxIz0W9GjW7v0lERLPotmQXS2cKSTRcj7ZkBMj+1DOE+zIX\n", "5KVA45KnnTodpR1oVVXfwWPucYzN07ZtGJyPywqO8SmQfilt0+BsLdS9mDYAzdk8F6U3WIsUlQUq\n", "9Pnttsk5hsVQ+W9bVBOxlNXviKYaGYi+9HO/pFGT4S7Bcj+UAuFp2/euqC+NoBNyXTRhG9fgBOv3\n", "WFQbtWjJ7Zaz+3VxW94X1eJ5R/F3KBFtWPH95K/VSsBmmE8SsL3VF5qJUC2ePxefBkZa/WCUymEw\n", "6mP1pTbG+DnbR6YjPRrlNzxYXhVzwrflgei30n7UmpBvs34b0nw0Od6z/Hn1WuU3SUz0F2U8i9Mo\n", "5+9k99CpZJig0e++56yPo9CgjtNJzL1eG3Y6fcBPNJZ5u3R9ALFUfEFLRv9NRqPaBKUU2N8Er7BN\n", "I1PgWyBzAjV68HLqiikQ898YYkLiDCvej2IHEh8OKOavEZA96oUoX94B/oU6Md8AbBKM4UxrU2dm\n", "QwW/1239q5izdqrNXTYhrwEMafE8rEoq6g8V9LwP1FMmuHghcPEKzn0/NArN+x89jvI9bthguy1R\n", "356fo0TYPkotFEi9QDi5F++lQcH1Hpha56klGglWf7d2n0DzNI4OztXqFYxxb5SrTICvBvWLovQJ\n", "/VGzb79g3UBgFfs/GKUj+AaacPkLQTvvh7dsu+NM3SO+35tATekb2HlekHqfp2mU93dCFeePoR8k\n", "Q1Lrvmt9vG7HvSGqmG7I5xdLLM2Wrg8glgovZpPRf6uBbJMSGoagYdDQ2Hn9syDroD4KfcF53V6O\n", "0j8lJHpN3erBMuhX8HsFx3c5mULVpvYC3wDVUD1IQJeAaiBmWtutMsYYaq3OzVh/GrBv+roG/8ej\n", "X95N81DZ+fFf6N9DaRyENiLSgr6noALSYBLfpCVLbPdN1Ln+4wVtPPnoGb14L63sr1PGuo/buhsK\n", "tg+F6LYIQAv2MRQ1HwuwXlC/Nwnx50TgvGDdz4HtguVV7F4OBdlFST6S+lU4Xp9jcVr4rvLlL6l3\n", "VSv+TnbejwFGBHVLo35uAvzb6s4Clu+t+ymW+at0fQCxVHgxW4z+Gw3ymUAIuzuoL+rnXZDb6Ruh\n", "yZTn6RJAFrPfCwuObyaZCWH/GuxzaZTfaGH06/dEm+y+Y23voT7MfRi1ju7bp9avQhKtNQJYFxWk\n", "hqHcTpebMLIK8Ismz1F/lJhTUH+aTez/WwSM3S2e/zCR7+XW7wGo9qwu0XLJPhdA/dG8OfCN9Pns\n", "4P002fY5G9gF9R0bZ+t2tnWXF2y/nLWpcVy3iX+g/V+k2WuY2scSto93yAkWQE1gKwTPyLLAQra8\n", "CRpB9yJB5CMJncQtFZ/T463fXwfX9+USz2zDzA7+/kM1jQelzrm/Hy/IO0+xxFJlic7rHxI45yYB\n", "k0ej9ocsx22PpazNKFs+FX2zLmfLk9BZ5S3U0eeZdAeGoein7Xb0OHz+XUTubfUYWoUldP0/7Pjz\n", "HNJHB9u8ar9/TPV1PerpC6p6+Xj97nZ2zvUDEJGnRWQfEXkF/ep/CDWtHY+mC1wbNbn1QDTp8GlB\n", "1R+dc2OD9Q+LyGvOuRNQbqfJwCm23a3Ap0XkGPSr/9aCc7KAc+60VPLYPdDLPhM1/bwB3GF1m+f1\n", "VQYiMitYnGK/26PC5iZl+nDObeicu8w55+Mm1kKd7O9ETVYLoBrD3sAy9jsHuBLN4/eG1fn35tyC\n", "7de139vRZNI72PJSJKkmZ5OkpGwKlltxC1u8WzS5dbrN8ahf1+NW9X3UIftV59yiqAbzafRDIAyo\n", "8I7ruUmjWxivQ337IEnavSb6UTIXfX6nZwR9TBKR7aXAidw5tyrwrHPuDpSc9jQREVu3HfoYz0LN\n", "pXXnKSKicnRbsoulmkLALJyngUkXb747IGPd6yRM4+n0Lzmq+pmUyJ3WoWNvSVPny/9Qc+bvbXlp\n", "kOm2zbnZGq8vAauRMHEvgX557xyMKSTiHJEa73h0Up1rbS5IrR+Aaqk2LTjmocDWBesdGknXP6jr\n", "Z7+n2X6fRtN9CBr42JbZh4Tgc6ngnvgaxQ7HDjWPLojKtfuToeFC098IcGIv3VPH2P6mZ6zbzdZd\n", "VrD9sdbmWFSACHP4taTBS/W/P4kp7VtB/QQSH6q9CPzDUA1of/u/O+qLtALwSWDloN0frd+D2x1n\n", "0Oeq1udrdn/3IyGuvTO4F1ryd0J9+44l8FtEv42esn28gvqXHUKB2TmWWKooXR9ALBVcxBLRcFnF\n", "O5yPJHEafRPkSvv/BkkOPV8KVPULAWO7cOxN8XQ9Tb2T/i9t3W0gY6zuM1Z3e9AuiBKcjvpSrWhj\n", "WBHVIO1sy5uh/iR+4vhJxrh9Dr/Z9ptOa3MktZF944G97P+6qAlnGkqi2RTXjk2mc1Dt2rIk0VI7\n", "EHAZNdnnYFTxOcCWH7I+P1Ji25+i2qg9yTH1mSAgqCaw407GKNu62DGlyTX9WK4p2P4Ga/OrDo3P\n", "oWwBAmwc1H/a30uosPqotR2GCtKhyXY8qmkdnup7arrfCsb7Tevzj7a8jy0/RwXBE9bnn4AdMvb5\n", "JElE5mrAch26HsOD4hnfo1P8fFi6PoBYKriIQTRcljDxBJrOJWudF5J88uBHQL6fajOVOvZwISc0\n", "2V4wy5DBHN6hY29ZU+fLqiRUE6eS+FX9MaMtiSD0u9QxLxL83wn4CMqbI6hFcnxq3H6dd6p9nQxq\n", "ApRk8lOoT9QFVvdjNKrJpytpyvkcJX/0juvHololsYn6121ci9CvxWt8jrPJe1Iz/fi+UAv1/aiG\n", "43/W53qtjrGJMXjB6EmUA+qfwbpP2bqLcrbtF1zXxYP6YcBiwXWtC15oYnyLWP8zKRCGSfypPk6S\n", "cNkBN6PC+d1Yqh5bNwA1mwkZUattjNdr13ZFNWc+ddQPSQVrNNFnfzTwYYvg/Hpfq+WD4/hoB++T\n", "zCTvqfIBcAmRxmG+KV0fQCwVXMQGgtVDaF6ut0sIVgIyO6efIFHxwuR8hdmEfwtwUkXHlmseoIGm\n", "bg4JHURYvKbOBS+/u2zdCyQM0ENAhte/JC+xF+VclABySDCeQejXfmia8ZqpdHqNUOPgmbMvo1Y4\n", "GYtqpTZHfYuyUuEMyLsWtv4qYNVU3fdR7ZTYhLA9iSCwbkXXbXPr72HUz2q/ktvtjJr9NrDl5YDf\n", "2fk63fr8eRVjbDCOx0iEzVEEmjdUsyakTLjBeh9R+LItfxzVDG4IXBg8sxu0OLYxKOevkONgThD1\n", "hgoy55CYgr9sx+CsftFgu9Wt3xcrPJfeyX6WHfePg+UtyeF0K9HvAui75hVgj9S6x20fj6Pa1CEY\n", "3UVFx1QqWCbNhYfmjoxs7h/y0vUBxFLBRSxhCvSmvhdQn6JQwAhNgX8C2df+3wJyToYQRuNcXf2L\n", "Jpuv6lIAACAASURBVPuSx+S/BKcHLyXv0DrR2uQKlP8F2Qzk5JzzkX4B7hWsex9kvWDderVtDyUh\n", "wbyXgPoAFYRuAw6y5X4ogeMH1n791DHuTSJ8eBqEfYL1g1BN1aGp7ULh6yB7wa+ccx6XJd+8dkcw\n", "+fzG/v+pjWs2iITgcyCJsHY4sFLBdmOBI+z/X4FfZd0/wUT2aLv3V4lj8ffdHRnrvP/chTnb+uv6\n", "r+Aatc1bFfS/D+rQL8D3g/rtMc0gaor2vFlLYH5Xtnw6mhvQAR+jlufq09bvFRWO92Dr83LU/Ojv\n", "iz8S8G+10f9y1HLJfYREcPtmcJznVHQ8TdHarARyMDV5Sf9DFK4+1KXrA4ilogtZ0iR2FmrWm0u2\n", "8/oHqOO6f0H8IyWE0QQBKGqumIT5IpXcpixtwhSbMDIFq0sCofH5AsFqKfsdgHJaPWznY0Cwr5G1\n", "+52Mah68KSPMuTYcNa15f45RqN+Hpzi4mVqhaBCJecs7O79JYDZEfbmG2/+FUQHoe/b/eFTDswPq\n", "95MrvOSca08p8DyqZZmLmjp3BtZo4R7cBvhDsPyX9DnK2W4Y8HX7P5Z8QXAcGtApVCioZOxncHC9\n", "/5a+30kEp0zndVRoEeC/HRzjfbaPLYK6XTAzqQkTz6NanW2Bbwb35GhU+DiSFB8aynMlwI8rHOs1\n", "1ud+aIRlj1BKi/QH1AZlbAF8xf4PIsmL+e3UNpVwctFCsMxk6oJnYnLnD3Hp+gBiqehClnTifgPk\n", "OyCPk0T03ZPR7gOQI0Fes+VWCEBRp+RTgD1Ltm/qS9Da5mrqdrZ2m6fqAyGxpvRPLaeEOc89dZqN\n", "9ZO2/DoZiZHRr/Qv2P9RJHw9n0y1+57VX0+SRuRaagWwwcBJqKbkYZSVvb9N8N68szewVs55HUAq\n", "Eg1YH2U6fyCY9C4J9p8bcdjE9d/XTyJotFphkunUtkNI+J62A+61/7+3Pn/YwWfJc1AJqjF8HTgq\n", "WO8TFGdq90jY0HcL6pYC1rT/K5CTgqbk+MaSsObnsvOjWsNtwnsO9XE6GfgqmjJoQGqbKemxt3ku\n", "fW6+OSTJq2ejgt36wA9a6HMgygJzKwEPHJqn1AtVz9OBFEi0ECzj37NTU8tEn6sPben6AGJp8wLW\n", "+iCV+pKaFnw5LZPTZi6aV+9qax/4V5UmAKVJc03Z8ae+/J6BbE3dM4GwdHlQHwiJV/jtw5IWsKx4\n", "09ALJpAMMAFEUBNHOoXG34HvBMtfDV74oV/WIsD7NlFuSKKRCcPzN0TpEHL9n0jSyYzJWHc88PlU\n", "3VjUR8wLCS+QmDjfpoJ8j2jeQ0EdrI+hgeYq2O5g1My6kS0vRMIkvpP1eW8HnynvHyaoj9xywIRg\n", "/T62rs60ZPeFN3UthPo3HYaaory5sz8tsrGjpLQHWP//zmlzob9XUKqHTez/BnZfLodGk05NP6Mo\n", "HYLQhJa5wXj3sP7uQAUhL2hvb+No1c9sY5SCb5+gbgmSrAdPo5rQQaiDeyXEslRAa9MXslQUHF9M\n", "8VPFeez2AGJp8cLl+yC9BqW5p2S4CU5ZL4Q30GTEgRBTl/+uifGuimpFMk1MtPElWLTdr2z9kig3\n", "1TTqWeJJ8tuFxUc9/pdEq/O+/R5jL+2fkfhP7R0cyyKo71VIl/AjElqDr6eO3Wthfk2iCXuHxPm4\n", "HyoA7RRssy4Jb9RIVPD6ERlaKwrMLejXv0+98kMSrdlhBNF5TVznxal1hn7E+vsWBSluUDLVg+3/\n", "bqhTcpaf1Y0kZtjKw+ZtH97UJwSmzWD9vrbu7Ix1E2zdcyh/7lgCAbuCse2BJtQWAhoPlFvNmwGX\n", "RCNz+wFf8OcJNQv+gCQycdFU32ODe68qQeR86/Mc+33R7tcvE2gBW+x7JGpu9hQf59k+LgvqFqAJ\n", "TWmD/VVCa9MX8qpmHFtDn9ZYmjif3R5ALE1esCZTtxSsvxbNcyejQL4Ecm2xEDbDv4hJJaUtMeb+\n", "wHUoqWHmZEh7tAnPQLamazaazxCQPcn3cSAhoJyDanJ8uP+CqCnKayEE+KWtO5zEn6YmfQ1J2PdA\n", "NP2Md6AVlNR+kaDtWsGLdhRwqS3fmJ7gbDz7oBP3uqhz7tdQ7YhDNQOlqS5QotGvBPvzgt2TqH/Y\n", "5k1e62+h7PB+2UeAndxgu2VIpffJaONQE6GfrL/SoWfM8x8JaoJNa3U+b+vOz9h2P1v3KBkcXgQp\n", "bdoYn+dH2yao24pAC4a+I9a1Z24Jq/sU+v44Czg6o98trN/bKzqPg0mCMjwdwf5t9rkHKrw6VBu1\n", "FRox64luZwLLdOi+GA6qvU8ni5acOl/S0ddlA4EaPAtta5Zozqc1OtyXPa/dHkAsTVys5n2QXgte\n", "bH7i7uGeQr/myjxUf7eJdphtdymwYZNjL6IEKPwSnIv6fKXrU19+90O2pu6v9cdTl9CVhE1b0PQa\n", "oY/TUDRaynNYPWP1/UnSggjw5Yxju5CAkT44339ItfOaosNRIclrkb4WtNnErsM4VJhy6Fd7KNAt\n", "aeNKC2RjyHD4Bq5G/V28D9lmwfEcRPts7BtYX0/ZWG9Kj61g22VIAgG+imoOHYnw90CHnrOTg3vh\n", "n6jAuVWwfn9bd1bGtmfauuODui0wsk2UTPaeNsY2miTIoG5SJmFWdygX19LBPfxLNOjhq6R8/azN\n", "l23slSS7JvGp8ubtF0g+StYmQ+PXoD+Hmu+nATcG9WuTaFpuI9HkVuWsXqfN8YndpwbvmR1BnkT9\n", "VzslWGWNhRY1S7Tm0xqFqzLnttsDiKWJi9WaD9IUGnzZABNRP6EPgoc1LYSNDNovl9dXiWPoj2po\n", "zsai2CigTXgJjaj5Vs6xBi+oJSgnJL5NBkM8+nX9VtDuc6n1R5E4xgqaGuMyW7eL1fVo9ax+NGrS\n", "CoWjzaztHAJBJ+jjcTtHO9ry+xgPlW17HhbhlXEMC6LatlOod5LfhmwGeK9Z+4Xt70kSk8q/Krhn\n", "+5NMrL9HzWwN7x3ULHknCdv8cDtH/VCBy/vSVMLanfWcWfkROnEvFqz3Pk51AggJDcLWtryl3Tsh\n", "D1auw3mDcU1ETX5CBg2EtbkImGz/lyfRvF6PkZzavfX7jG3/ZH1/qaLzeEpwDwuqsV0WfX+sQkAB\n", "0WS/AzGCXFs+wvp/wq6Ns3IrZk5vcT+ltDlbgHwRpbGZjiZ4vzQloEB7psCyY6EJzRItzidVP28f\n", "xtL1AcRS8kK154PU8EvGXkQL2gS2AvDbrIfeXop3BC+1xQr6qxPo7IV6IarJ8H4QuYLVTSREntcV\n", "C1aekmAiKhCmNXW/B16y5cNzxnxGsM0r4QvKJoWlSfx7nkR9UvYkcbYWgq9wVAg4jPqQ9t9Z22uC\n", "uv7Wp2C5zEh8r+4MztUokmi55VGtxHDUJLIRKpAsSvMmvMVI8hdOCo5zHdQUWvrr38YROuiHLO+5\n", "JI12Ln06lomof1DdvWv33z+sz0M68Kx54lYhQ4hFNXlCyvkYNU15tu8dgvtmq4rGtSNJ5OYxQf2p\n", "wDrBGFZBn+FLSZ7ToQT+jWQ/257XbIsKxtqPhPhWCKgpUOG6KZNgerwoDcYRqKDm79UdU20WyTrO\n", "kvsrpc3x6bGWRn1SBeQxkHeDtu06r5cdSzOaJTo8n8zvpesDiKXkhWrPB6mp6BN7kPfJWbcjFg2F\n", "RkDdSe3XfNOqavQLNNcU+C3rZzGQV1MvFBLBKYuVvUawI4ko+4BUihlbv56t91/YdezxJMKOoP5D\n", "y9nLfQUSLcpmGdt9CjVl9UfNMd70tl3Q5kiru9WWRwfn8XtBu/GoFuR7KJ/RIFRTMdbWLwz8ueyk\n", "gpqEtyZhNj8d9S0S1Dn4LJrQDKHayGWCZU86eZ0tDyZDUEN9Z1Yt6Le/Hasjicy7oQPPmqfGEDIc\n", "rFFtpWB571L3vqAO2r/JGX9bqZ6Af9s+Jgd1q1GrUT4GZWb3zuybob5vW6Bm7jqNlI3N+xHWRZa2\n", "MM71g3M4myDxMa0FRfwNuBj4om3f3+5R/zFSaQJ4SmhzZoHsakIVIB/NaDONWlqbcJmSEdZlxuKF\n", "n7KaJXpxPpkfS9cHEEuJi9TAB+kh1Lafrm81+gQNhQ59RManxuJ9rYaQfCk3rapGBYTlUeHg7LwH\n", "/QOQjWz7bUmcRFvk1rretrk25zw/aOvnWJmUauMTGAuq3fk8JkSgZiNBzXlpfqCvUsuS7ekXXiDR\n", "Ro0mEc4mWN3WwXi8WfZo1O9tO4rzxO1EIORZ/3WpZVDT2q9JSELfRx24/TkY1+b9u6D18z7qZ3Vj\n", "E5PKRiRBE+ej5p4hJFxOc6gw+bf17a+toEmf/0EgbKDs+wKcktr2QFLCnrX1tBHL0YYAgH4kzLGx\n", "1eXxQwXkfqgz98VWNwDlP1vPju2TZORaBFaysT9T0Xn0RKOCCubXkHCurYR9PDTR30T0Q+JOEvP1\n", "ptb/TDTpt/+wmNTOPUsJbc6TKB3NHBOWfOqa0OdqGrUEoeEyJU1qZcaSFq4aaZZoMJ/cDvJohfPJ\n", "/Fi6PoBYSlykAlPZdHtYFwC5LGN9G06SXssz1l5mXlPQowVCv4BPoUVVtU1E+6EalsIXyFMkavcT\n", "ae3Lz45nSZIv810y1n/d1k2z33upTfmxH0rS6fc9A9UODLIXvecBOiJ1/R4Gdg7qBqMO3UJgziLR\n", "FJ0Z1J1mdQ/YdouiDucf89cqnEhQB/itrc16Qf0Q1JeqKJDgFtvXnWjYumAOx23ew17TcgNmJiux\n", "zZmo2fjvttwfFf6c3S/eHLhPhc/aCtanj2L7nN3nA4M2X7R1J6e29abkI4O63wKrVTCubUiE8bvT\n", "z6n9/zWqyRtC8vwug+Y93NmWDwY+kdH/7tb3je2O1fp71vp7i1qhdE00WrGOVLdkvxugGtABJOb3\n", "H1P7jH6RQKPXwj4KtTkXmGD1SlB3GIm5Lx1R7VPaBO+r0iltGo0lqzT64CRnPrkf5CO27Sdy+m43\n", "mnF+KV0fQCwlLlKBYPUGyMeTm10OQlXUVT0IqKP5/mSb9x5BI4mmgDpnPlbwwDdSVdNA5X2+bTsA\n", "ZNmCfkock58Y3yQwodi6JUi0K94ktH+qzcHBOfDCwqPopP99q3ubwHwWTHTD0S/v/iSRiD3+XGjU\n", "mADvAQtZ3TASn7Gfp8YyEtUOvIyaXw5GtRNLoo7TTXEo2TYCvIH6bQkqPC6BRhDmasiCPkYA26bq\n", "PMP8uRREBaJ+WD4B89J2vtI5Fh2qeTzK+ry8wmfNH78PZPhURhsfPXdSqt4zrh9GwhX1bVp0Vk/1\n", "vTmaW0+A44L6WwnMp6g26FckKWz8B9EIUuz7qf49LcbPKhirT+QspMyOaBqlunNa0NdEK/75+QIq\n", "pJ9q/T9XdFwtjD1XmzMX5N8gx6JWguNJKGrysjm0k4S5aCxFpZFmidR88gjIp4MxDkTdL7IS2EfB\n", "quR91O0BxFLiIpWgI/gFiZP3BqhGp13VLaqJ+nf4YuhPDQt7TxkOcmaJhz5PVY1qBVbHNAV5BKer\n", "1O73gbIvqdRx9SeJ8DslY/3Vtu4P9vsqsGCwfgmr/4BkAg7NfFdY3SUZfW+D8hCNtuvq+bMeJzGV\n", "XGV1oV/V1iRmIG9aOgp1UP4RKhAsQy230WJoRNtgTEhrcF6OQoWzm2z/R5LQQHzX1pWJ6BtLKuoM\n", "nRwFdWh2NrY6vy1UkM/18UG1dd4UtLidj1nAiIqetc8G4xRg14w2Pgrt1KBuqN0Pc1FOpbVS2wyk\n", "SYqSjP16bWLorzSGWrqNn6IayyG2fBtKzns8quHZMqfvy63vUumnGozzbyQC+c9IscyTCuZo0NdP\n", "UW3vU8CyVrcxicn8SlrUfuXsL/cj9lmQJUAWQv2lvo5qqjKEjnT5AA3gaJYOIXcsjUqRAEQwn+wY\n", "jHMQyCEgL+T0GU2BTVy7bg8glpIXqoRK+FaQcXbzj6x9aJp1XneoxuMBSMx7D4H8Cf2SSZv3RoH8\n", "3sbxMsg5BeNMq6ptf2eg/lbNEKC27ESJChxzraybWufTcNxLwnL9p1Sbh6z+gmA829m6ZUkc4LcM\n", "thmM+pOFjNnrWrv3SRiyPRP889SaoI63+kdRLdZPUA3Pj3KOcbT9fokgug1N5LxgRvvNUY4s7+T/\n", "OolP2jO0wcZt19gnnJ6EOlPvXXK7nVGhexBwO2qm9X5XPhlxaS1Ig/192/qbRiLwnpVq44MMTgjq\n", "PF/XC0HdOSS+cksDf25jXF5wE7LTFo2zZ+drJL54u6FM655+YH8ygjasrU/t1JbZEjXre763o9FI\n", "zyGp9U/RnM9nP5TtfpAtn2X9X4M+q567a1vaZLknR5j5PsjHgnfrHcXCzMJBKSTwpIDoM28sYvt/\n", "JaO+pGC1CklGBHEgX6CxD1d0Xm/iPur2AGIpeaFKOjG+CrJ9vQCSm2MuYx81Jr9+KGP5VJDfgvwl\n", "2NfLNpaVrO02Vv80mkpmhpU0I3GZLx/UafkKsglO9wommVL+Ojn7+JX18QCBsznqo+L9sHYioSHY\n", "MGjzXVt/Pkmqmhds3BeQmL4epFY4+lgwEYy1F+vZ1vYvVh860Ycs5oODCfBEqxtEounaDc331x/1\n", "QXkEnWxHEjg72zHlavrQicxr4n5IEnm1i/VbRzRa8nz7CfFBAs1ag22mkDjre5+yYagGaDKJOfCC\n", "ip4z7yflfYQ+mn5+SJjqQ5OcNy+fE9R9HNi3gjHtTSLw3RvUh75LR6GC07okAshewHlBmyNIpbGx\n", "+tHW9wcUpD8qOVafP3MO9Wb2je2aNb0PNMr1PyQO6+9jPHhBmwWxRNdtjL/GOvA2yA9AdifR2O+W\n", "8d5tVptDiejp9FgE/ajdG+QbKBVN1hyQNxb0fXMcyUefDAD5VwOBSmjdp3V+LV0fQCxNXKySYbdP\n", "ourq4IG9jZwvVet3jE1cPdtkaYk2A/mP7WMuGqn3pI1lpLU5D2RTas2FWSzFeV9UNmFuD6yBamjy\n", "+LC+Ztu/QYskkdbnC9bPUal1nmvqlyQRTlNJhKI1rO5VVOCZass3YjxOqNOwkMoNaNsvj2qEVkO1\n", "DV6QOwmdHH2E2e2p7XYlESq3srpJVn8b6ix9FapB8XxXxxEIaCXOywASEsz7SUxfN6Nfu38p0cfK\n", "pGgngE9YP7cUbOeJHcfY8gh/X6Ta9UepILxP2nSq8WXyDvGefb7uoyS4934V1P3R6r5JorlcDdit\n", "gjGtSRLU8JvgPD1ErR/fcnaNFkGDQ9a0+vXsfsjUOKKM/kLgFN/iOEPfqhup18BsSMr3rqCvw1Ft\n", "8e7oO2EE+j7wAu/p6f6rKphwfZgJVuGH6jFkkxWX1ebQZPQ0gaXC82T9k1o/2kZjsfviOmoJkC/D\n", "TP6N5pNpRILQpu+hbg8gliYuVhB9V5RkeXjyEMwJHqS59nCFfk2TUG3JHCgX0TfBHvBZIO9nP8w9\n", "ZQCJ35cvk237AsFqcTQKrpCQEtWqeJ+Taxu1L+hnB+tjFpb+w+o3tPoXUVLOmrQ1NrG9aHVX2xg8\n", "N9WR1mY7W55JbdSeQ81zhwV1IVXDkqhWxn/Nbpga8w+s/llU23AzKvz9EBU4xqbae8ffbYBvNzgf\n", "41ET6GAS090eJJrDUn5CqFlx31TdKFQonGP38tJkTLSoUJap1cA0ZnaOPE2Fjw7bsczYGozb9+W1\n", "dBMy2vjI0ZCS5D9WtxfwDWr9nobSpqmSxO9tt6AujIQbifI8+UTWG6IaWYf6PN2C+aZl9O15uf7Q\n", "xvgctR9n1wAHZLRbhnIanfGoyfVRzGRMEjTyjB3P+GDfS7c69ox9TwL9OJxsx+Oo1danBY8y2hxa\n", "i57e3I9lJZDXCwSgjLFsgGpXQ63YtVgwCCXnk6C/Oeh8EQlCG91D3R5ALE1esPL5/cQ/kGnhBv0q\n", "vzasa4Z8bjLIgdSmbfh20NfK9lDOsfpzUi+MlZK2ZdXmE8nObbY4GlEn5PgZlTyn3tn8ShIhxJE4\n", "uG+PaoSE2mTUx1ndFHTC91qrWZimw/oU4MJgfwNQITekXxhO4jD9Gas71pbPT413IEkE2hl2fiZg\n", "GiIb+8L2f0mSUPvFMPZtVJDL1GKRRCh6c+eTNl6hDT8h69P7bB2EOsPX5VfM2GY0aubaGjUl3Wr3\n", "8Mq23guadWlaWhifp8vwgvRFwKGpNj5J8zG2PIKEU2uInf/HsETbdg2OaWNMIaN7naM2qrVbG6NR\n", "QIXyRzCh1e6388iJ6CSDJqKFMe5M8lzPtXttcKrNUFTLVsoUaNf9GlTjtnBwbXanVns9zu6JSjRY\n", "qJD6RnA8Mh5N6J4lyDRBytlqSrLrsPdmE5ql6dQS3d5FRuACJeeTjOjGmJS56Fp3ewCxtHjhslO3\n", "ZGqe5oAclSFgec1WK+Rz/5d60ZxLYv57K6g/GORilIcq9eALjdXmK6KT7wQCISTVJsypt06L53Jx\n", "Em3TXkG9Fyz+YpOljxb0zPOb2/Kjtn4B1BfEj2cpK97MV+dXhE7EV6Ls2PtYu2dtu6+i/l0fkCI8\n", "RP13vJOwT5/iUE3TFFTzsj7qSP8NW/9NaslZC8PU7bx4f4wdSAhDx9t461jJS5xrz8U0jZJpd2xi\n", "ORjVuP06qB+J8kytZn2+Rhs+QqhA4q+dn8TXIZVvjsTf6ee27PM/3hO0GYWac1dqdTzB+fIUHg8G\n", "9ZNIzNJ7oNqdL9hyP9Qvywueg4CdCvbhPwg+0uIYB1L7Hqoz9dq1+1yJvhbCtKIkfGUvkHyg3EA2\n", "hUBVQtUKqLn7G/54BqCO6w20OYVpZGiS6PMIkKFJ35vTQLO0P8iwpH2PD5Vd2+0bnR90PvkjgZVj\n", "EMgnSVw4YlLmJu6jbg8gljYvYOKD9Hco/hq6sfahkLH22wz53BdtmwOCuodRdnT/lfM/1AfrRft/\n", "M+qnsAfK/RK8jPZocGzbUcL5l8T/5ElaDLsn4SZ6hSSabtz/s3fecZYU1dv/zmyOsMACLmnJGWEl\n", "S0bCIipRQbJIRjI/BUQQEREUUBBJAiIYkJyTIIggaZEkS5JdJEkOG2DTef94Tt2qrtt9753ZWefd\n", "Zf6oz73dXV1VXV1ddeqc5zyH6M4/DOGigpv3BkgTEBbg5REh50NEgPm1/n6OIQpM+S6+H1KvL+IL\n", "4mOe93SE5flTOC5pcwBRv4eAu79E/D63IVzF5Vn+vRFdwRBK2LezvEsiWomgNfuTP48hHNdCNDEL\n", "Ii1GDjAOQtDbVJhvvewn0jFekW8A0hq2EUlbN5mJbymwj79BxKOUeeAd59d+7MfBS/AC5EAQNFU7\n", "M5MmKu+LU7z8X/u53ig0TaBUaENanUv8+GAkUM/tY6RO25uU3040FXWWtDMA9wOpalmA52WbjRfP\n", "92UfG9fgHFiILX4G2mBcPrN92qDuxf2dnUHEMda856DzgY/pINHnjchTLxlXHbJUII3rDlXfWEUb\n", "bwFpxp6l3ukopJ6gzC30ZXc3oCd1wUvswG7ovwiEnn6ETze5J01ppPZAILcH2JXJ+X3ArgE7xH8N\n", "7Bmw4xFGYGbcdhH54jeyc/2JGJebOtmH7UTX/XOS88FkeoAfn+DHL6Od+pV+fAzyENwSLbxh57c3\n", "0hgE09IxWZ3PUcTqbJgsUiMQEN6QaSIP5twLCXKGtGp3I5PZj5o86xpIYGqjQhBFO/avooU98DMF\n", "k9FkMo+vijJ2p57PqY1IZbAmMvf8PMvTToNFHnk3reb3B5B7ED4uatauBuVu6mXcSxSg6ziXiB6f\n", "J/vxH/z4B0jLuXqSdwhw5Ex+33/18ks5przeY1D4nCHI8WA+JKyfTBIFoOTeJbzsNzrZtmHEzcXk\n", "0A8Vedcmc0Jo8B5+7d9SezLGT0Ma6tTL9nuNxkoHnqM/4uwLXsDheeaiOrD7BbQe4L4h0efLYKcj\n", "wtH7s7mWBDJR0ZYUS/tv/+46RI1CT1DmLk3d3oCe1AUvsYO7oelgayaC1cJgr3VAuAq7pLXAJqKd\n", "TRrBfbKfy5l7t0NcW50hmkO71nmQVmGhkusrEnEonQIKI5NjECLW83O7eJnP+HF/Ir3CkUTs1T+S\n", "crYmeolN8rZ9KTleNMm7bDJprolMEdd43ot9Un7Wj79d0uZRxLh2OyZltaPwOz/14yPx0C9E0PfO\n", "wHkt9EtwEriHSBh7WNIfHQrai8IgGXJSmBfFW2y4ECBN19EIY3WOj/nTiK7pgQ/sdTrvyLCHl3FF\n", "slCdgzPBJ/lO8Gsn+XHAxq2N8FbPJn08P3BwJ9vThrRTQRNURqi6AsKehTh5hyNP1eARujYJvq/k\n", "/m287Ds72cagRQmYv5cq8rUjXFxTclDkcbs5oi05y8t9jXr6huAE0jQaQJP6NkMboLURhtKQI8DS\n", "JfWVck41Kb8h0efPUfSMi8Bup0ijkDr5+FgI5t+NiBhQQ3iqAzrbF/QEZe7S1O0N6Ekz+QKb7IYu\n", "QXxT+fkxiWAF2HBieIZUADuuROgKH/sTfjyOuHv5IdgHSd2noh3Yi0SB7kwKeK+WQiMgDcpS2bk8\n", "0HHwbppEJ80FKJaeIdNSH4S7CQvb8p5ntB9/jAShsFP/nF/vg7AN45KyBhLNenVaNSLg+RAvcwoS\n", "mEYRTXBPl03oyDXdkKC6AMJU7I1oF85DZsvF0e57GFr4+/hE3VQIQZor8+fcPVnoeiHt3EEd7OPg\n", "ifk2WbiaLF+qmfgT0iaM8PtH+PnPeZ+1EU2wnWI4J2qiAr/ZFCQUD8vynejXT0QmGkMarsAf1YYE\n", "xuM7046knjOI3qLPJ2V/k+IC+0ec4yv0SfK/F42pVgJ+68xOtG8ZYjSAoLWrC4mDTMINtXbez48i\n", "XOVgH6tnE0Hkh7UyVjvY/nY0ZyyPNlChrsu6si4qBKvfge2WzMF3lszTmWB1JdLYB0qQ8A0dQQfY\n", "7Eva13ANeZ9y4H4PE3uDPu3uBvSkmXyBDXZDl/nAXw6FY0ivzUg+6HWS/9sRaRRmIFLQ1RCGKv2Y\n", "hvj1cUR7+5ZgJyNslYF9C+zHCOi+LiIvfR/slwgQGiaMmXj2y0kAtz5B3OblPkHniAgHEjVSc6Vz\n", "+gAAIABJREFUR/u5i/z41CRf0CpdTwzhsa9fOxdx8CyfTNYXIsxWMDGNztp9CkX6hTM939+QKfG/\n", "flwHMPb7g1bpLiRQnYMwVxuSsWkTtRsr4QGOK/piKCLnbCOCh3+EKCEMaXgqFyC/76T8PXgfh36o\n", "I6z0PFvTGl/WMNxrj6jdOK2T4ykQmAaeqo8q8oW4ej9A2iJD5qplcMoHpF3dcya/7X5EPNdFfm4I\n", "EpbTIMsr+5hbB/itn9/Jx1BdSJ6sjqu8/F070b4QBudS4jezTkm+BYDlmpQV6CIuAP7l537lZd6D\n", "PHeXS/I3NSm20P6+SPv4BSLO7JP8e+mCeuoElykUIRk/K5m/7ysKLisT5zZDGMAf0oJJvoX2la4h\n", "M8B+AzYM7JyS9uWCX1f22eyeur0BPWkmX2ADwep1sJV84M8P9nx2vZdfO4QiD9WGFONFve6/05N8\n", "O1L0ihlEJLBL0ycunE1z4exTFBrH6/rYJ52lO/C8/RGWpA2ZWdqz6/MRST9P7GSfbuH3T0IYlMD2\n", "/BpRU7Ao0fRYo13wa/Oi3fCffXEIGq2diYv2ixRDffyKorA1HzLpGDLXnOj//1LR5kWI3kCnISFu\n", "Vb/WFhYLpBFIKSVGAqMqymz3vu5N9HybQNQMPdJCXx5eNukSPSx39+OrSIDuSKPWKFjzCiiu4FZh\n", "/BC9NN+gEztoYozGPUM5Ffl+7Ne/T6ReuAOZcn+c5JuHTmiCsroCzcVuJdd6Ic3oCOSBuAsxjuQy\n", "SLPV0FOWaE7qEGM5kV7hY2S2M4S1qnJI2JoGQoCPxbP8va6CcIDTEd5ppZL8v6GJ0Nik/dsiYXQx\n", "Iuno2EZtnMn3eCFgGyOc6SifA/uD3VYhtAS2dzRXBHP/RMRZN08Xtq1uDXkSET17nfbVFgUrOmku\n", "ndNStzegJ83kC2yixn0XkXoCtgDRfJdGYw+Axbs8D2iXcmNSzhSwz1NwAS6kPbN6p6JQOK8gLNaG\n", "YGehUAy7x/seRVqPe3DTTgvPOwjtMnMm7gWT/5sQ4wCu18l+DbQJY7yPw+S7RZInLKoveV2fpBMz\n", "EmK+SBSKPkZarBCuptRUhEx/1xK9rV7wxTMIcktV3HdaUs8iaOEdibRrt/tz3IsA6fMjbdYCJPxd\n", "DfqjF1HLdCJRE7eWX9+XDoS6QdgYQ+SmC6EFtSE+BJlgT/IxcwzCe+2FCw/exiCMdji0Ce7STjR9\n", "fuztyzVuASh/HFFbeQAyt16U5JubTi7+SFvYmwhSXrQkz0pE8sw2xLx/bHL9YBxg3+BbCt52LWNz\n", "vJ8DPckxSItpNHAcQFq2Os85b/c6yfFWSAMWyj+rorwBdIJpH20WrkcC1YpE7euDzEKtCw4O7ws2\n", "0ue/ecEeSebMSWA7o83n3ylo9Q19+78kmee6sG21NeRRsF2JvFXzgV1KuYdgZgpsGqLns5S6vQE9\n", "qQteYhPg4cdgm/pgnxsByIPmaRGiuXA80lQtmnzQ+yNt0ziwxYofevCK2ZlEOJuM4gMa2N3+Qf7Z\n", "658M9kewPrGM7RGm6QyacCo1ef42FEJjyeRc0CL9p2xCb6HMBYjYqm8QhaPfJ3n6EoHlwetvh+T6\n", "5Yid/UdEDc3TxCDLU4HFs3rnQtqABZHWJtAIHEU0VZ3doB8C+/WdaNF/EjGFP0eCw0Danh/4/2G4\n", "GbNJH+/kZb9MNFX+0a9/hYzvqUl5SyULRilbtT9/KqiGcD8DkZlsPj+/Ah5818ek0QltJVGICRrK\n", "lyg3bYUQR8d4XxiZVgWF7+kUL5Tff0Yy5l72cwMpCk6jEGh5AMKa1TSRSZ5GWr8QOPrFDrYthDt6\n", "E2mQAyXB5iV5d8YdKCrKWsT7fUtkcu9DojFEAtnyne3HrK6+Pu5WR1rl8O4+ZiZijjapcy0iWfA9\n", "Xp8tiCwIn3gKc/XlaOOZYFCDN26dYN3F7bwQClxYdhDlVoiQEitH0GAbdJ6SYk5K3d6AntQFL7EF\n", "V9lPwLb1Qd47+YDuJWq0AvncM0j1Gz6KRVC8Pz9+CmlPRib11xiFjwf7SUX9dxF3a4gaYHu0g9zN\n", "f9uBr3bguVfCOXqo1yr0AR4mChmdMQ2FeH1vIvOE4S7YSZ6AsQku2lcn19ZAWqGVEJg8sMT/gojR\n", "uiGr8xngV8lxAHq/TzTHTUamyDIg+4LE3f59SLtzEo3pC4IWsMqMcwgSznoRTUdHEz0oF2tQ9pLA\n", "URXXwoKcMsb3S66fSAOqgCTfcNyMSgwj9HQH3/Vgv28K0cPwqYq8wcEhAMsnIu3SgUT82nrM5E6d\n", "GKMx4KbmxXF4yES9qbf7PBT7bQO/djv6JpuZAYOAdHkH2jSUiPf7hr/fIJzUab2QAFypZUFz15/9\n", "W7kBCfmh/F39+0lN5kvSwOGhQT3zIlPx+f4Mj3gd7+EC+qxISPu5JTJz1og7B/tcuwPY1ciysBd1\n", "DOfvU2Gm7+I2LkfEyNmKYI81EKiMutA5HQnR85kQrrq9AT2pi15kC+ESpoJ9OfkYVvTz7xNjYoXU\n", "n4JmKaTnkHljICKyPN4Xw1rMqSFg38k+sEeR2jsJzPwOinR/NNqxnuaL2fpo59SSWQKp8utIRoGN\n", "vV1LEVXT3+pEn7YTY7TdTgzHsk+WL3jthYk69Wabz+/r5YtHmFz3ImpIvpLknzv5vwXC8wQvoF8g\n", "YcmQAFYXINjv+53nmYBrkdBufWVfvBYjCSXjfbVfVb8jwWWA/w8YsZeJZKY/T/LmsR+HU0FQSdR6\n", "BQbz04H90nZV3NeGBOcvo8VyZzxchz9nYLrvCHZvOb/nRaIAWxosOml3cGp43fv0cmCo51kQuHIm\n", "v+mgfawbu4gaYB/vi6ORZ2DAuQxHJrWGZiMisW5dkPAW2vR3r/sIsg1FyT270yBQupdzmbc5ALT/\n", "Vvb+kTDZULtaUf7f0XwwEJnDDWnEWoIgdKCu3gjblmoNNyHiLB9MvhuDOpOfJc8/S4UQ74uTiWSo\n", "U0AhyToQOqfDIXpm5TP9/5K6vQE9qYteZIsBNYdkH/AmSb4xCJTet5hnevLhTUeA3Xav74Ck/jpm\n", "4L71ZRkSdIIX1w8Q99JeyMz0LQTW7bSrs08WV+ImJCI30UQ6EV4EmZkCcDRgSR7N8oygSNi3cXKt\n", "LwLK/hnhcA5P2nOi//8P5USU+yJcxcrJezjQ73mJxmaegBF7yPvgZCQQbI/MjYcgTdW+aIE+ES3I\n", "DTmpEFA5CKuB3mIy0gK0eX0tCTREk+jraNHrT3Os1/5IADvY232PP98qSZ7AQ9URgSG05Z7k/1jg\n", "3JK8gY4hmHfPR0L+vkmeAXRCs+L3jvR39J6XX2diRdi9U/z/0ojuoHdy/VSahAwianTrAmFX5F+c\n", "qJkNgXyDoF+2wenjY+IoMu9PHy8PIm1uHz9enRhzcTtmkp/K6/kcMi329fQXb+9HVMTKnMn6eqFv\n", "di6k5T2NiI28Hpngv4sE4weJc4t5317L/wCThPCB7yR1X460gR0JymxDmwhVqXD1WSIU7fYG9KQu\n", "fJmthz24gwjabJTvdi+zN9ETynxC+IrX2RuZudr9eDXgaorxqsyPryEJGEzEhIxCi1QbMb7ZQrRg\n", "BkqefV9KXLq9zLDQ/rczk3Xy7GOJBII5eWAw2xgJBgoJDPcjgWMhJIQF4PffkYBkZEGkkZfgz5Lj\n", "SzzfTYhd2ZCZoQ0tSgUvHOSR9qbnewIBve/1d5cCTCcgDddqXs6/yMLuJP0YeLxCrLzbiYShJ/q1\n", "lrFyyEwUAPGlTgZoYRycHB+HtJxtWb4NcMZ5tCgbCWlrC23Zy+/5PRG8fjclrvcI/2TILG44gDzL\n", "84uO9EV27w+T8fSq9/2iFDWDuyJhai4SjaCPr6YgbC8zbAYqtUnZPSHKwBV+/G0kBE3BNXVZ/q/j\n", "YXZKrl2EnCZWIvLBBe3wLxE5bqdifyZ1fNnLPRjNU4FaYtLMlp3VswglQjQSOoPg9Gu0Ie2LNiSB\n", "VNYQueoW+ZieFQkJxzcmdf8TWDe53uoa8gr0EIpW9nN3N6AnzYKX2mIIBiLA2xrlS/L/gai9+ggJ\n", "R0OR+e5mpMVq5aN8Gy3IB+GBfJGWIBBZ7oBMKS0TT/o9i2XngmZmLiJZZ6mXUZOyByDPPCOGzjk5\n", "y9ObiFOYQOZyjEyfu/n/+ZK8wWz3CYm3H/Ka29D/tyGsSRCIfu2/rxPNXkbmhYMWd0M75r9TeAd9\n", "DPrn7+UWKrBYaEF4APENDUvqDV5x71DBG4a0ZFXmwOv8/n38eFDWD5fgGKwm72g4sHJSRmjfws3u\n", "9XsCUeZPkUBgwHUVeUO/Bizbsgik/LXkfe3DzGleg2by9348D7CZ//8xvolAmoZfJH3wFFr0mnlY\n", "LkL8Fpsu6MQIA5NCnxIxZrc2uK/Ucw9hw/qjOJkbIJyloc1PmffgSLRh6wjj+U+RFqaduDH5lC7W\n", "mKC5K2DfVvLxd3ryXZ3r388eFIHeY5Cn6/9CoBrgYyOYJCcg4b3qm224htDAE30S8gD/ODv/WSIU\n", "7fYG9KRZ+HJb4BTxjz3EmvpNo8XAy9uZGFNvGtIgDEZapyehHMh4he9Y5ip+XNcgQao3UpMfiTAU\n", "t/lkNVP2eCQAHOntXid5zs06UVaIIxfKeDPvK2TKzIWVIOxsg8LaLOzPtn5SVohHeEvZe/Jy3yBq\n", "ij4u1tGvSkianyi4GQwx2MLgcoOdDU41ONLgML+GIU3miEZjxts0xvPfRdSgBUeC/khLEITKlSnh\n", "IvJrwUHgWj/egkRT16D+QUjY+J6X/3PvpzDeQ5+2FE6GGAfxAKJX2mUVeYNgG8bDpshEHgD0I6nA\n", "Z3VgvAWBdb+Sa1sQsVxPkWwWfKzvS4kGKSsjOEWU8qJleduJ8QB/mJwPeKv9G9x7MJkmmSgUtiFc\n", "1VCiJnjPinJ606JAhDi8rvTy25AGzNDmpcNYy4o6NqKc+PZdorfhNKTN3wFpgsOY6XCA5Jls6+ZJ\n", "mwxp8FvVUtatIVRwJ04BOx9shNdzconQ9VkhFO32BvSk7k9oNxqwE5flE0ZJ/j4U1ckf40SGQyjG\n", "ujKiR+L71AEZ70KYmUWTj3YB5M7eju92fSE5tsVnGYBwDWWYpaCVmEiDMB8Nyg4g9YCZ2NTP12nq\n", "qAk8hXOvI9NfoAYIfFZvE4WlbbM6F0eg935Ii+cm1nYvc4ekq8e6kDRXqO9JIqbEz3/TYBuDdw3e\n", "M/jU793aYMG8vZU8NEjDMM3T9z3/GL/WjvBoTU1hRM3JFCrA+Fn+NoQf+hESIA5BZryHiYuzEXfm\n", "D7f4bgNe6itEQPb9lCz0RNC3Ie+yFYAvJtfbaVFTljxTWLzWRMJ38IwrM28finvyAauSBLr2sk6j\n", "xJyblRGE9KYEpsQwRu94G3shoTb0cR0AnBiWZgc8tqd/J3egTck+SOhaiKg5fxh5z60xE3PZ6UjQ\n", "Dlrb4ME5Fdirs+WWvK+LgCX8eATCiA4kCpuTkKdt2IAYnQyQPBPt3Ic4xxjS2m/cBeUWBKvpYCeA\n", "LZTMHStQHyKtR7DqSZ+5hLQpYWG6jibke74A3E00DdpAFBtwa8RlVUYqZ9QBGW9FYOBLkRanHwJ2\n", "ruAT88ZIA9AS0aIvat+ifjc5yifd4BF0Mx1URyNTSzD/BCG05jQgwWWLRDC5KhF2akLWM0SX/HmJ\n", "zNqBemB8Oukg3MmF/j8R3ub2394GbxnMMPiG1zfeYLmkHQP8t83gBBfG3vbXMT15NeMNhibl1mnA\n", "5kZC3pbenqANO58ItO4wdxMR71cXPJuobWxPzn0baTlKBNpeVqK9u5MmHlZEU++qRHzTJZQLDb9K\n", "yq4Ln4PMvk091ygnVfyE6H36X3/+db2P23x8H4U0oN/HhRDklbgBLZK0ImcKo4mwgRbRgAcKLPkb\n", "IsygUYFjQyaui0ve5ao+7rf3Mg5HwnmIi7kaCabO76sFKm/S1nm8bcE78hhv4wzcTNvZhDZsdXxr\n", "yIng30g4fIC4IQlks4YEyU4HSO5gO4PH7FHEDeBEBJjvkvpJCEXPR8TR4VmXQlyF00vm/R5TYE/6\n", "TCYk0IQF8kGahHdA6vnFiLvrAg/LILBvI2/D8HFNALuOApDxfrSTWs3LWxEF3L0aLahvoHAYAZjc\n", "3pmPEu2g10UakiAcfacT5QSQc5iwfIe6nAsmkyxqkxYw+DgRWmrCziNe1lCkhQr9F0LxpGFRevvv\n", "KGrC0cpezqL+e7LX8U+DaUl9ffz6wSaNFAZLGnxi0lRNNPi8we0GU/y+Qz3fPlahAduU6LgQuL0+\n", "Sfr0+qy/glPDWf4MdSZGpIEy4IzkXe2UXL8JmDe7JxNoDzP4h8E7/hxjk/6ptb1SuCJuKuYlLsil\n", "MQcRb1QoN5g/Tw7PhjYFGzaoq0Qg7G8lAuEbRHqTZRB+5x4voxcynwfc3iZog3JOi+M4mKaacV3d\n", "E8YsReE2CGbf68Q3tCwSCtuIfFJ13pfJc95PA64pJPQsjCI5hPEWMGoz6MR3XlLH6ji/nLf7VjSX\n", "9EYazkDkG7R4RhcESE7qaxomxtvyHJG02LydXU4umrw3A2mrzifGmS1LPeD1nvSZTUiNHrzWHsoX\n", "tJL8w4hYIQOxBuccWKORKXAc2P+BPVvcvSyLNGDnepkpD9RCWX0n0CKPDdodf7fkfPAam0ISn6/F\n", "MtsoqtdNWp5nTVojM5nawrWjk7llvMHgcO1ytNi3EykYQj9Oxb0jk3odA7ShwQNeRtAqjUgEo5Bm\n", "WBSsxpqEqBF+vI3BKgb/NviPwd4GL5qEwo08zxAvY4zBOEuEwluy/g3Ym595f07H2eSRGfNJb3tg\n", "sTfqQfYhxt9YPx6Agkg3WkRcMBlpcJA/8zoG+yd9cJ7XN7Cu7VlZQ5NFsY1oPjqx5N0PooBb41RE\n", "lHk4MYTQM02+l0wgHJu0eazBEum3UxAIKbLNTyDBriGNzS9bGMP9/T1Np4FmGgkrwbt3/eR8bxQE\n", "2GgQXBnRDayLMIVfRxrAbyTXv+FlfIoIVQc3a3tFPX9CgmVfPw64PaNFQbOi3KWJ/G2Dgfn9/y4I\n", "VtALCbvvJ/UZXRQgmcZhYtYhCvJ9EYTiD0m+F+ng3NakLYORFnJVYkxNA+z7KKqGNUjjKFgpSiMt\n", "zEmp2xvQk/7/S8iTJgCSn6aCRM8XiadAZsA1iOD0Eb5DWSc5tzLFEAmpvd0/3KfQzvwJtFNfjgh0\n", "XdMntC/TOu/OfJSH2diLSNL3bzroFu/tKgiTSoMNvm1wUnKu3eBpf+SbLBGs7gr96s8fQrEEAeQO\n", "isGSfYELi3AQ3oLp7opkHnvYpMUKmpBw/r6kXV8xWCib/2YYnGXQ1/N8bPA1k2CVmglrAlE7EQT9\n", "FpFN/kxa18rc4u8pLB6l3oNZ/38hlne6SYAyg9sM/mvRvPmmScPX1xJwfhlebAW/9rwfB5LKMUiD\n", "WrbAGTJhjSbDU9EA3xT7JGg40/6/3iSgL+Tlj6z1UfK9XYdwc33INCF4OKQW+s+1n41D2RAFyD8n\n", "43BPBBsw4LmK++bxb2QthKFaCZnMTkdg9esQTi14xu6DcGEbdvA7bEfa7KHJt7I98dssZfzvQPnn\n", "49g55CSxv//fEpn9dqNIKzOJLgiQXPbt9KeUE9CQtvjVZGxORUJdh+MotjBmXk7q/Rg3nzcjCB1H\n", "D0FoT+pJmBk+IQbNzGs4UDPLU8f2fivYMkTN1Z5geyeTwujkg0smikE+mYxH+KjhCGt1IBKyVkUE\n", "ltf5RLq51z8vnTMLDkBq/KAyv6QD95YIDKXUBUna0IWWlw0uTSfhlHeqN5ESIUzWwcw0SMd9LQpA\n", "h1rUSGGwYjKXvWlwo59PBatJFgHqixs84uenmISTIJCEZ5mQzZHBTMgFSPBbEC22j/r54H01jRot\n", "RZVWps7EGPq0bjH0598sOXbt3cEl8/jPDI5Pjtf3OrastT0ru43IW3Wfnwtefz8jgpGT/mzL33Eh\n", "DhrSZixb8hyjYp/kQpUZXGJwi5c5j4+XgI9jKySwbIq8vB5Myt0TLfJNwf9JfqOCTsLz7Oh5PiVq\n", "IAchDq+z/FppDECElSzDnn0XORusi7RMhgDrVaGUDqA6juTnEQzhYqKmagsi5vPUTswLbTjVB9IA\n", "HZRc2xwHnSNnm4DVNCTInUMXBEgm0WgG7+qHKI+MUSJovUUXUkmgb3w9JGAG56ZpaOM0nBZJqRNN\n", "VU9Im57Uk5DgEkgQX6dodiiNT3g3Ctw8Ivngl0VBR4N5cAwFIGNNwEAYr2WRh82v/VwVr1Ibwnk0\n", "ZJdO8h8ObJKdWzWZiA9soYzEjDPUBJTGYL0qgcGihuryZAGtAdnnQ+aGq5C2YXEi4NTQTnQwNcEq\n", "CEkfGCxrsK/n62WwgsnTL9QxI6k7FWo+MVjGz+9ncJ1JoPqOH4/1a4NMGqsZyb3hGh8hLURYaI70\n", "8/8hxhK0qJV5wwWGjbPyCrizQOGRmhp/4mNwGHBp8t4/rn+ukCaatFbh+Ewvf4O07W2Ua6Gm+rnr\n", "k/63euEwxbjV3vU4b+ciSKNRN26pCYSHlbQ7pEu8vK/58SGh/MeAb3o5X0Mu88f48XZI69MSjQiR\n", "4LTU09b7J+D+Ti25FrCAdQGqs7zbInzY55DZrM1/l0u+u7Ub3L81Fd6VCNO2UXK8FXFDchOd23CN\n", "RJrkNsTXdhSRsuEahFf6ZdJ2Q1i1kV045xY2q+8RY7nOhcKFLQa2BzFQ8wAKwZM7Lbyg+TCQAM+L\n", "NlBp1I3fkOG1aJ1QtCcIc0/qSSH5BBO8lN4D1vLzF0I58+50RA53bbJbmRvsc/5/DxoDGX2S/IN/\n", "6Hf6udFIq9OGOGRuRTunlnAEyJRYx91C9Mr7tGwSpwgczcw4pyYTx7OZwLCAnx/pv/OZBCKzaGpj\n", "ENJuHE8EqZ/j1wJj82kUhIk/m4QhM/jIYF4v6/cli/QOfu3A7PyYpN1bmQSrqQbXpgu5p2De3Mzg\n", "cUs0c6nn4glI8DaffD3PS17fYybT5ENWFKxCXw1N65yMm2aR1iQHrWdC5j8NLjM4xY8PNwmOofxx\n", "Xu4ASwTaacVn7GXF4zSVmezm8WuLGPzWYLGQ/26q4ws2EQhD+rqXdYYfF4TZ4BX4U4RXGpqUvx0e\n", "4qaFbyGM+a0rrgeC1PfJ+LD8mzSfCxpx3n0fUbIsgDxbr0QazhWJsS8fQubBlj1J/f2fS2K+R6bh\n", "ICBf2qhdJeUNJXKC3Uxx8zi3/87j32EeTaIhDrATc23dZjVoqpYCexnsQhTAGRRj8LvIIaiz8fgo\n", "as13Q/QYxxMxdObvsRJL5/e2REr9WUnd3oCe9P9/QmDXsIufhMwRlcy7If0RbBfkHRgmgvDRDY7/\n", "V/U6DsNNGQgQfJEvIiMRT8ytSJgb5pP08ghoH8C8q3dmkkPCWthx/YOohanA1fQxuNkfcZpFU80K\n", "Vq+NCQJD0Mp8x+DRUNYkKjx9iMzehnaMK1DTdixn8K2knqCRWdRgcvYKdvJrQzLhYKJF4PvCBh9a\n", "FEICFqm31Zs3t7REOAl8Rgt4m4MX1lsx/7lVQyNLNRNjAMIf1+B9uWDVz+CLJkqLiwzuTZ5tshXN\n", "mF9I3l1oW6qF+pafO9HPpaa+J7O2zkj67icm82o9/qy63f2tvA/ONQmJi3s5j/l7mZS+h5ORWb6M\n", "mXwgTTQnxE1CWDTrvMX8Wx/n1/dJzl/hi+cJfu38ijo+5/PDokioGuTf7ihkCgzUDe8ije2S+fMg\n", "GECdcIRoNtZFAnfw/lshGTd30gGOKKRtOZ+oCRxJ1J4vgbSoF1AUMgxpbzoUCLrF9hQ2q48RNUB7\n", "gq2btGFdsGeyQdTReHxos3lV0ueHEr3CDZnBOxT6h+JGdI6mVGjYD93dgJ40eyQElg1eJ5+GD75s\n", "lZgM9hIiBr0L7Aywg4sTU0i3JuVvRgRzr+oTeF9k4jjMJ+HSXRMCxt5M5kGYXE8/9j4oHtx8yfUF\n", "iHQBp9IS6Hq0wfsmDUk496usK4LAsJ0v1u2WYH3S3W/w9NnP29iPoufhPZTic6abNFYB7PyTpO5x\n", "VtQE5ZqXFywKHN/0/Mv68RpJvjLzZk17sj3udYUW9sw7aimr11CVpZpWJphBf1XyDkf6GEk0P9da\n", "pJdI05EGFybHP87e3bJZX6zn52/y47Wz95yW/UJy7dKSd80VOG1E1v4mgtVNFr09h/pzXWZwhCWc\n", "Ygsi8+hWSKjt7Yvfj2kQ+Jpq8H0d+SuiNjAkVPRKzi/j3+Pjfn2rirpWR9q0Mm+2S4hCUCO29gMp\n", "Dxm1CQnWE80T4Tv6OzBXi3NZ2Ix9Czi85PoAZN5OCWeDaXQKsM0smF9r43os2NOIqgawFYlmvwVQ\n", "FIsqjsAmloDeCGYRhMd+CEu7J8K3hnufIjGz9qROvM/ubkBPmn0S0iAFU5X1rvi4zwBbJDv3oZ9P\n", "Pt6pPoHu06TOOxBQ9VC04x2EmzAQgHJpZBr5Cwn7tV+vcle+GRiV5d2yuOi0Arpe2QQAD/cMski8\n", "GfIHjdF+2eIetC598/P3oZ30kcQAxYZCCWWmyKkmgPOdnmegCbg+zhLs0h3UcGEDXQAIz/SMRTNY\n", "WLwXtCJFREgFPNSr3mepGWEYkTTSYJj/3p+UcZRJaCkbNgXB9eVk8v8ecstfDQ9PQ1OsUi7MPZuU\n", "3dvqTXtL+rUn/DgIWoGmYUyS9w9JWZeZBKC9TJqtmtBZ57VKS6bAy72MrZJzj6XlDkBg7/2QANeO\n", "cInbUyJUUOloUbfBCeSvCxJ5mOrMc0i4NeS5Wud15vVlMSlLCVunIkqEUm4q76tgDg6Bix8nMQsj\n", "gSB4Fd5HC1xRCDd0Ctq0lLV/F+QgkwZIfpKI/3ufimDhXTC31tjMPwFbn3pw+lJg/62Yc0MqI+FM\n", "ftuRY8YQ4sYoDbXzFB7YvbvXmtk9dXsDetLslfyDPDl8jMdVfOAfZcd3g21TP6FP90n6YKJnTy+k\n", "GVsQqePP8km0HQk/X/GJbgjCgoQgzvN523ojga1VV//Um+tlaovv02WPZfVCxmiTR152hyf0AAAg\n", "AElEQVQoc88sb6hzySTPl0xYqeCVN9bk4VbTMD3pC91OSVvfQuYVF5L6mISgsEhv7PlWLCtnbmTm\n", "zPojD7mzqQn4XaVlGp/ek2s62omhYEzcWJhoHcL9zzXo19q7edt/Q0DlJYBhWV2J9m6ciUbiCIPf\n", "VJQ9zqJ5b5PsWgryf89kSlzNj3f033083wQTT1Z4xlNMRKtXGLxqkRi2PFwHTQXC3f3+VPNY04Rd\n", "iDSrZyHMT++k3DOBvbO6KviyTvPydrESz8zf+v8bknIWJkYKONSv31jybDXqFW0WNjBxop3o42b5\n", "tH8MAeB3aGG+OQlplhZIzs1P9Oh9nQZ8UT4u232+CHNDnyxPL8oDJO+KQlAZEuJK41120by6JEiw\n", "+hfYF5LvclGixur0ZMBUkXFmNDbn4YS+SV1fInrymj/3rvyPQu18FlK3N6AnzZ4pXah/SLVq+mGE\n", "s5oBdkj8kC8i0XyhGGQpaHQDnwyHIyFrCz+/PSLGO5AKriDEj/NR/YISmlRn2noXCR4Jszkmc9jH\n", "ZY9kUcgIAsxxJsEpaH8uTvKlwlygOpjHJMR8x/NM9LoKWqFb/XkujPfzS0q8cFqhAPCyygCmFrVm\n", "X7UobBxrAsfnzx0pF5JydyXugt00s0nSH8806MfwTmq77OCG/+sm48/7oLfBlSbt0bikzNdMgtI4\n", "K4b32Tmr+30/P9Cf+ymL4YJG+28fkzYy3xj8OCurHtiftbkJ3ULw1vyHibz1gWSMsYP3T7oBCXjA\n", "NuqFhQq+rG29vAssjuO0f5gKLJOUsw9wmP+/x/N8M3umS6g5BHzOJECPNzjf63jZ4tjf0crIZr2s\n", "IRQZ91dEWqb+ybl54hjjGZqQTaIIDmcBJ5Rca0cYqxDOyNDmakeE3XolOdfl7OVZW/bAtYUpuXJb\n", "8n9vpPnfB+zRijn3BepobEYk42QtCrFDeQPNpZ0OdUMPpqq8X7q7AT1p9kxxkVA6gPL4UEGwepkC\n", "sHJnZL77PdGd9wOklu5H0cTUltR3pf+/HMWsWw1Yxc+t5hOlT/5LVCxeIY23iCniFmoCzO7JAvmN\n", "BvebRSFjb9OiHPBWAUheExgsaleCZmnfrJzg1fegJV5qq6GdbMAezSBqcsqEpJDvQaKbeN2k5wvW\n", "IGqmqTssClcXeTsO8gUxf+aCEBQW+e/hwGngj7E9wWPxgBb7kQuIWrq/ZOOtL4oDFwgbM+qL1MRp\n", "Js3hVy3zODR5a6bxEZ/y84ubzG7fzvLnAmxuSgtYu1q/TKaBpyoyzVq9wPOG3z/IxCv2M4sCHreg\n", "Tca+CCO4AMIb3Yg0D2VxMa1cgAva1X8k58alz3R5RbvnRcLTVCTcb0hRw+P9c5oJcD8xKf86vz7A\n", "ZFYtB/sj7eRxSCM1HOHHFk6uDyJivF6ghDcKaa5XIjKmD/exk4bjaUM4tTRA8ng8QDLavAUs2AM0\n", "iT7RyfmzN9oohu90WxJM12ZJv86H+AHfAlsJgdo/TV5qKmD9Lt6XmgJXJAYZN2TSPI6ZCIRMY1b4\n", "VoDzc7RA1u0N6EmzbyLTnOwJNrVk5RxHwRX4NuTi/DWkXVo2mSxnoFhXu3r5iyLX8MCw/CU/34aw\n", "Er9B5qc2pOn4GrWFdrzB36wxZ1BhgnfG87Em4HPQYrzU4P4UQzXDZBZaxM+dYInAkLQjxTU95OfS\n", "hX6CReFLWiGfGIMA+jxFIWlT4GifoOYlejDdVjHpfQF5Ty1BbTE0kxCJySz2polK4rmK565pZr5d\n", "MiZ+FusM2pF+JuGjrKxx6TtYFWkkpiOtRHCD3x650W9OwkVGpfYuN/lunh3/Pak/EHLOneXB6vFv\n", "o02mzKBZCh6hi5o0dBjiJKsj0/X2DqPglJAKhH/yc+v4uVqfvODPeS7isloBuMvLG4RoSPpl9VSY\n", "HD81CYZtVtTGBsEHw/nCStq+O1HQuKPYL2E8H2oyie5n0uCawSsWKUe+5f10lZVpPpO6jkRCZDrO\n", "FybSNHyKuLDKPGq3RoL+U5TTq2xE5OYzZEq8BBfgUCSBoBG7kQ5GZejA3NkHbSRWzsdwr2wc7g52\n", "kgtQH2Qf0JtgqxI3tSl4HWHifkukbpmMnB+GzUS7S1nhW+WtYiYFstkldXsDetLsmyhoDZS+hMCX\n", "Rinz7stIM9UvKaMNMSinca7+jADrbcgbqQ2F1/gbcRe2KtJ8fScpK1tQzjbhmVLBJU+p8NPHz80w\n", "efJhsJJJizWp4v6cpTyEjcnpClJtymF+bikTNigvs8hd5M/2naR/jk6e+VjgvOR9JASdVYIGtyAT\n", "gV+7xxfC4X59S4s4q1etHnNVbfJCRKcOYG43xSTEirihkMZZRQzC4Jm2sx/3pQH+A2kYbqHATzXE\n", "hI0aY0Uc1QArevM9YpFzbC7T4h94ql63etPxEhZB7edaFBpqpthK01RckJa2GJMxpPbsuJae9HtX\n", "IXO48PNXkngE0hAk/0Qy7sK5T/y4Vl/w+BwJ/CApN4Qrei321WEmx4CUiHZfE/j/dZPWNjzX503O\n", "Fm+aAmWXjvE24CDqMXV9iNqcSdTHnXwGLdhpjNHBWRlrEgUzQxqpQoBkFOoqjKEryDSBXTBfroWT\n", "qiJai5OJDiofEONtWhvYft7WfghuETatf0A8geElvua/44pz7dVEAXEKgl7UCZqdne8DK3zOtH4Y\n", "MYQZCVkpMymQzW6p2xvQk2bvRInWoM0ng7IPhvrgwl9AKv97EVlg2MlMQ7iDQ5O8wfR0FjEI6XVI\n", "U7NbvPdG/9Ynm0xaZVihkFJzXb/k/HsmvEgQrqqEs7LwL9tZ8dlzF/uPTfxRYcExL/8Mk1YhLbeG\n", "b2kjcsxMJQHz+vU6IbcY2qU0jIz312Mm7d0rFrUwl5oEko0Mni/rr9qC6PWPAn6etMXLDgtrP4uB\n", "osdappXJAw0f5+dvpom5wK+9hjQYO8R6nzUJTe94ncHEl4fBCTiqYJo7JemDFCuXYpGCIHa1ZVrP\n", "+xt8JyXmuTEm4a8Wx9Dr/qrBOZbElbwYaXKDBm8kMnmVebY1oHX4nZeXUkgEyo3lLOMoWwAHPSMq\n", "jUmxjaGv3rEoIPa1KDyHMfyiRW3W30raUxvjv0Ubgq8igHwKVG9HmiMrpn5WsmF4lXpc4SoUBaoP\n", "ESD+8aQ/2xApZshzctV4m8m5cjQyQY5GQZJDfZchepkgCH0C4v9b2PMsSyQNPQns31lnjgNbOpYX\n", "hMMZaENaqkHtRPvrQpiVpZyslJkQyGbX1O0N6ElzRkKYn6uJamejAfMuAqqe6BNnb2AFP78s0d15\n", "KtrFtSFm6V8jl/PRFHeatwI3xAl+x5Lv/VhTzL78vFnRO26sRQ3NvRY1EX8puS83BQaBIV0oqxa5\n", "q/3aXBZDsPzEoiBQa9PWyXMuSnSHfybrTxdulzUBk0PZ72X1FsDKjiNJTUZn+bXBJkErFyiLJhxf\n", "DEcj8+4afq4NUWNk/VAaU7EMZB9wVulY+hhpMn9MIpwjgeUi6jiaVjLRIATPy0BbkAo2ZefMIvXE\n", "qyV9l2K2rs375FIk6PcpGe8NPALfSsbJZBPebikTTgxDZt3hXs4XvG9PxYMjZ/U0EKyO9vJ+4Mdv\n", "W9S+3WxVmkhiLMWsr2aYsFrhuzvX+zzU95jJG3B7k9PAuKw9dWPhIYoC9ipII+fXB3j/fc3gBhPV\n", "Rdgw1HnCLo0wnGEMTSMJkEwkGG0nxricgVN6dNGcOBAx0Ie6FvHxEdr6DOKQSmhKOAcJQ49T7JvK\n", "eHwHUho38Hocj9lFz1IawqwqZWSl90PHBbLuXtNmqr+6uwE9ac5KyHT3SjJxlAYmRaa+x0lU9kjz\n", "dATC0ryeTBLPoIV7NOLwKRDYIW3FTdULipnMINuazBH5tXSCP9Rgi2QRON7Pz2PFWHxmcUEt5er5\n", "Z/E4N8vMsIj92Sm7Vq4V8mf9RlLuUX7OtSHtpkVvhkVNxJElz5sLCGGxfN1gdYvYoi9Z0Qw4Lr0v\n", "MOavTcbO7IvVDUQsy3NZ35QK3JTyLvUt69t7kPm4A0SuZvXaqaDFSoWdacm9uQl0kiUODybeqW+Y\n", "zLm156ojzqQph9U1fv8GybkPLOHfmoG0cUP82QPg+dvUA9cb1PWBSXMUcIMHefmbpXV9hASCFFz8\n", "u/jMuWCYmlkPthjj8AcmDrMpJgH9QH/OfIwPNAlfNe1cEIzaKGh15rUo0AUN9GiLHGOFDcNrCKdn\n", "CI/1SwS2v4SilrUf0Qv1U+DrXTwXtqH5bAjwf0QT5gQUh3AbIibybZzywN/1jlR68cqEVmIVMISB\n", "axjDsZPPUhnCrColeK/OCmSzLeaq2xvQk+a8hHZmwYX5BVoIUuqT0HDEaXUDEqR2Ie44X0M7916I\n", "46o30uCc7feuQM0r7kf+nb6WTMKfmjQB+WJZE2IcwzGXSTsV8k21iBNaPymvIGSki9IFPiG2IRNn\n", "xYJkJhbvIMSkppJavL6gFRpAEqyW6M00DYHQXRuyf1JGEPr6eD153TUtiwvBy5o80fY1aXkCmDuw\n", "ye9hwhc13k16W0Pcw108/3NEM+aulIOOM96l4L32veQ9FUyZk2PeQ02ejdeZcGJ3mYSG8H5WNglX\n", "71kMoDzEoodfKoDc7+cGlPTZvw1GJe/7SpPm8Wxrgjtrwrr+Hb/3+8m5s03ErzXN5fCszCGIv6rO\n", "ZEVLwZ4vMgni7SbPyNp4uBYt9qkGMNEcjjUB/q9MytrNr23lY9dM5vAbGtQf6lvBFObpJUvxdsAP\n", "Y539LG4Q0u/3jeT4DUs0fKHNt+I0CT5vbJT00VDkPWv+3W7cRXPftiS8UQgsn5JwXoM2I79Kzj2A\n", "zN9/BtZD89r3s7lxEII/lApaaPO5edl46IJnKrDC5y/zceQV/m52PiErtUOrB0JdasQeP7ukbm9A\n", "T5ozExKSHvMP5FU8anpF3hWAN/GQNsn5PsgjLAA8JyNvoTMQ/moQ8OUkvy8oq1nkYroy+24D0ePH\n", "/r/g6l/C/TPDtKCGRfr7Vs+NxO2UCwtLU8M7DLJy+ocfeBkrm4S4OywJYRK0QvcA1yfljiBSK/yb\n", "Ug3FWyasDr7I5fUWtGKuWRpi0UvtSr8+wCRUBZNROf4BCVQLIRPEBsn7e8PveydbCAqeQPV9H0yl\n", "y2XtHm+RUyrk/cD/f9OKGqtBSbuDNuh9/x/ypMLODBN/Gf4OxpXN+xZxY1cl52r1jijpmyaC1a9M\n", "3oD3mkhOrzaZ0R62BBQ/0svaGWkoSzXBnqcJX5ZZBN0fYBWbBG9vmWfk3020IGYSVhe16vomltQ9\n", "zqK5/Msmvq7wbgdafTuCgPiE50/Letfgu1bCKH87sBTlMIQFiaa292jChdXBeW91pI1fENHChPa8\n", "AGyBvACD0DoFeUAO9++kIa0DEnC2poilHI80XLOMsiCM3zSE2SSwS8BGJX1+RslAC+D0Mdn5GWD3\n", "opBn+T1l7PGzW+r2BvSkOTchD7H7ko9k9Yp8vdBOL1XTL4rCd/wR0ShcnEwmVyGtzTjgD8k9o+KC\n", "cIMVd7eBo6hmcjAtvLUJeVVkLvDjoSZvwHW9nN/7+XYrLuw1PFVV8N0EFLtMycIzyeIid4yl3FpJ\n", "GQvmEwwSMJNnCYv2dRYB2q9ZXPD/WrLARWEA0Vok5dURjhoNPHaAvdGuu29ybiOK4UE81YXxcS/A\n", "dGH+0N9NuxVNsD9K3s9408I+Oiuv1BPSyjFeubDzqp+f2yIIO09BsLraj1MHCF7P+4iWwtmE9DOL\n", "GMFrQ5nBU29T5LhxBAlJZ8X7qCAINYNbLY7/x6y4SchJdYM2bZQVQzm9b8KDLWjF/szjMC5kcHJy\n", "/IJFL8Q0JuUUL2+ZtLzJxT6bbkVz4ElWFAhXsmhW5SMffydl/bI02owYAswvPpNz3BAkQPXx497I\n", "g/fD5Bl+iIST7xA3ie+jGKiPIa/X4U3q2ZBi9IRXECN9l3ouVtRdE6yeRebAuZN33hfFgi3TZgXB\n", "aoIfTwA7H2ykn/885USnKXt8d69jneqz7m5AT5qzE8JrBLbfj4ANm+QPQPXeyPNpfaI79htE7MRz\n", "fm1Dv2cvtFt0IryFTK7zV1r9wlsao+8WaiE9RmbXyhbqDX1xqebj8Tb3oZK7yDz9Om9LpVcM0czW\n", "RoHgMFBF/NlEVBrKDiFYUkLSkIrmKyKm49OkLcEMdJbnWYVyb7Qy095Y3RuEtHX990ArD+68f9a+\n", "wA31h+Tc5/3cQVY07aUCQep9WBdAOozDCyhwl4XyQ5DlhUv6K5QZytnZFLInjIGakF1nKqUl81xI\n", "wWHgK4WxhShJhiIc41FNvqMKAtXJJvMbJlqEVDAZYZFbzUwbihDg+28mcHoQfBa26D0ZvpEQH7J3\n", "Ut8bJu1pcOwI9yxpRW6zg0wbgto7cgGkl9WbFG/K3ulmJg3a/3ld0bsx65M1iGa0h2kizHRgjhuN\n", "NodrUwSd34RM9UtTDOh8AfIE3J+EALWi7FEIAhHu/RAJ1nXf4Cycw/sSnWZqaXWw34BNrBjIqSnw\n", "BbAjKApk84AdT5HsNKQewaon9aQmyT/MwFM1mcTTrSTv4mjXn4bVaEcxAldFGqz/JJPv04jL6Qif\n", "wJIFpZdFDVUvk9kjD29TcPufHhfaMlf4QVbE7YQyolah4pnWpSikJItRnWbldQTenZ8sjAYiaXyZ\n", "yCq9YrHMe0vmtydMQPYctF9Jm7AH8sRcHu1Ut0r6egUUAqSOTylr51zUPJ2WtSjcreO/7b4AmhVB\n", "xxtkbfyZnw/mnxQoPdaKYPTnTIv/ef7O0nIKwObbiYJ6Juy8baLqwITxyvvSrMh7dpaJaTyMiVvS\n", "sZQD81swz5lJS7aUSZishdHZOCtrYbL4bxXvoYRAtSoNNWlMn03aEljph5uE1cMNHreiMFalHWx2\n", "fRWTqd5M5u9VLYk4kKS+Jq6tfOy2mb7BP2XXTrPElD4o6YstiMLNfWQ8Vx2czw4gic2INoAXJe1+\n", "FWnZ21B80zf9/FSkwT6ihTqWIQLrzb/TH9AgLuIsmLdHIu/T0H5rR6zw51QP4Fo6pO5dKq0NdgWR\n", "7zBPPabAntSTWkxoR3eefzDTaWDKyD8mn7guRHw2YcF/K/lYXwTuBhbz/FnQ4SWtGi9zs8EOFnfi\n", "uWkoYLJ+ZuI4ejhZAG7yPI1jxHmbwsT7JPUA1I+Qa3jYFW6KQPzfysrYAMcvJecSpvMRJq82M2k9\n", "nrfyZzar0rQhs+OCyfF6wCOe9xFKqASy+zeJC0JZjL2gsUjNQ6mX4pjk/L/83BB/ngnJO8qpEj4w\n", "eX1+ZPUs76ebBIai0EOdsHOXRQD0F0r6bJwVhYrfWTEYd3W/en0NzHPm4/Aaf7bAocYLyCy+gL/r\n", "Xck4zFr49sq8yyb5OSf+LNOkBbPrt7LzQVDe3kSv8LHVawcHWVGgGmCwVlImpigF75u8K8M3daAl\n", "ZugG5tMnTSz4W2TnHwj3psSjuxIjF/yu2RhuNichLdR8aMO3DyL3NISZ+jHS0u9AMQbhfcBfkQfz\n", "Gg3qWcTnisBFFbwa5/sfztNbI21buhF8C+Sx18y77wOw71OMc9gOtiPYI03uNXrA6z2pJ3UooR3c\n", "z/2jmQEc0CT/MF/MvxDuT67dioCbYQIaj0hCF0EEgGvECf0eE/5ivGnn/Xr2LX9i0d28CmD8kQn3\n", "Yya+KUymjxTH1FCwmpsI5P4pJbGykObNEAakNMh0SblDiB53FvFVx5u8+NJneNxKBIRGTOHrI+zV\n", "GCJW6kdN2jOSIlWGRe+z9Fwfi/xdZlEg2Sc5N8MESP+5yYQVBKveFglWWzGtnWXSRpUGkM6EnXs9\n", "z6isjHEWhajgMRmA1iuZsFl7WQyRU0qV0SS+4b4GX0/fzStE5uqdkMbyWDppwkq+vfuIlA0NhJdg\n", "MjwvO3+bnx9kEkA/NX1TV1hROzjS39n9/g7C/anAtaRFs/z+FoVpPqLSfJpiJ6cb/NFkckzHUc18\n", "emQy7k4niRnYgX6bC5kOU/zgKIqYpweRRrcNbf6C+X8qwmAt1KSO+fz9BAzWNCT4NjQVduHcvCDC\n", "SP43eaZPkaVhA0SaehtU81E9jbwDBxa+cz3PkIp78jSOAt1ClzkV/K9TtzegJ332EkXyyGPzBSjJ\n", "1x+pvwcm54YS3bE3QQDVl72s6Qjcew81DdFhPhH/n2khv9bq2bfN8wQTQjOA8XSL+J+aRqap2hr4\n", "uuedQonWAfHqhJA0xzQoZxAiS53Pj1NuK5MZabIVwdeBVX2MlYWRqajjDeAUP944mfBHef0bZfdk\n", "lAkB8/S6yVTXZhKwgkZihEXtUk62WtbvqSmwjCohfT9lGqHSMCqZsLON51k/uSc1F+eg/oWt3iGi\n", "ZtIqo15oMb4hT5FoNlD8u6URLmffTnxz3/FxN4OosXNvxd4Gv8j66hWL13Yp6cs84sBvLUYRSDWQ\n", "3zeB5cvuTYXt/ibMXMFLt8R8eo4pjmVa3jmmjVFhw7AaBW0u/9fB/mojAYYDSybv72yiNud1//7a\n", "gGeRdimw1L+J6CsOBFasqGcI8COK2sRrSaAQs3AebkNz6FVEjZ4hU+Yvga9Wfd+BrPRpsGvANi6O\n", "3ZDGIW7Clhjbx9FDENqTetJMJUT0GSan02jBlu4LSx+kjdrcJ7neiFwv3WndRW0n/qSJZ+d5E0A2\n", "aD6sJAVSzVa0IK+ZSAtbV1v7RBbMatdV5PmSX5+ESDBPIXOtR7iN64gs0m3IzOBtaTNpfnI8Wcrt\n", "1DhshJe5PckOn8hQ/TRyFJibohYx0f48aRJg70/aEEL9rJn025YlC27V+zGLpJ5hMS7Lc5QV4+FZ\n", "SR0F/E2JsNNu1dihMo/JUuHo9qo+ptw8NxFxHt3o43o3YKnsvvlxk3cHv7fApXRxcs4Fq35WL4i+\n", "ZsJcHWFR0H3bYszMoGWqelchqPc2Bi9n4xCTkJ/iF6+1CgLaTKP4jsn0+GFW3zhLNgy3oigQhgSG\n", "XTrRXycAB2Xfw65EvNE0JJCEwPDzUQzufD0Smko1ZGjTeDiau9J2z3JSTCIRc0rcO4OicDUJaahy\n", "rGCruL2aBzElAlnOHp/FlO0JadOTelJnE+LkCR/zBTQOtDsPCsGyTXZ+aQQI/R0i2ksmh14mgOud\n", "Ju3Nn0zmsBEmk+BLFvmszKLXWjOAcUgXpRPJN1p85sWJ6v7RFXn+6NfvQOzMTfEVKMhsBo4PGoc6\n", "QeCOjk5ciBLhEeq9gwIf1c7FvnvGZMZ7xfvqU5OpKORJsVcBV9WKYPVYcl+VYDUtO55uclyYao3M\n", "tigkzSP1fbijCQe0Z9buQVakJjCriMnYTIBdGGkHV0R8YNv5tT19vByCmLovoXOmrKBtnEQSiJeG\n", "psCyd3CawS9NQnMQjsq0i9NNJLNYvQZyHz8ftFXBpLuzVQTkHkZt0xTMp8+YtGMhSHbBAeVpohfy\n", "J8DmHeinQVm9wQN3RWqBxTH/FlZB3oDfQ5jIYCqfhkz9f6Hce7Y3YsxPzeUPkGEnZ8Fc24YIRn9H\n", "UYAqfM/9aBwYGYVUupSi53BIjUKY1QlkPUGYe1JPmkUJeZ2Fj/sGEhxDSd7cfXqAT3gXANv7uZ8X\n", "J44Dskn/foO1swVysEUTUDDjjLAYzLksFXbI5pP/11p85qP9ninAsJLrCyV9UhciJcu7NNJsZQGY\n", "sSKlRF9LOLum0CLTNNIQ/oeiu3i2OKapStv3L5MW4wyTQHtick/QroUyxzXp95REspnZNqTLDP6Z\n", "LgBV5uc9Pc+fkSBj9fQbIaUEof8y2Ds5LngiNjRrIBPw9v77JaS56pVc3xH4MrBtJ76vIcTwSsdl\n", "13pTi8WXv7fdTHixvB+nWxEP94aJIDRosj4ymerOsHpB+Yms/4aZzHiFfq0TRJGm6M5ivtIgzAEP\n", "aAhsXcqbV9FP8yBTXp/k3GCEywrzyQREIRJi/w3347CheQARgJax4bf7exybtPcJf6+zktxzCPJi\n", "zEJs8RdkqrO5kMboMAQ8N0oDI79CkUpiBgK4b+n9VBkoPWtPmaa2UiCbXVO3N+CzkigBK/ekWt+s\n", "T4yjdSsJpqoifzty+9/M+7W3//ZHxHvXFCeRfU3g4hHZRFw2OefanRWtPsZZYYdsXqcBV7T4vH2I\n", "psufV+Q5wq+/hATIOjA7Aoq/Ro3aYJnsGXubwvNMMGkNCov9bS20cxjSbiVl9rd6gSoliSwTdCaV\n", "nHvLIqZtoCVhfKwc2F2FdWrFbBtSY84xf+b9Pc9FFAhj5zJp4FKB8u9J2R9ZdA4IqRCTseGigbQf\n", "i/n/hbNr2yJNwXXAJh38tkL0g/Ekgcv92grUtDu5lnaCRT6tqniRj5s0vj/xaw+Zwtp85O88Fayu\n", "MJg/ecermUyLluST6dS/582yts6LtC0XVizKWyNskCHnj6Vb6JuBJPQFYd7xuWQHopluBsIUzuvf\n", "xPyIDuHRpB1/BH5TUkcbonpIBaoXgW/SCe1jB97755EXdhqa6C1En7AErj1amGrc06sowHOvokA2\n", "CW1el5zJ9s3R62G3N2BOTwiAeWE2wAvhPHpSrZ/CRHY/jc0ng5C3ysrJud4Iq3U0cAyFAK5Y1EQN\n", "MGGNrjQJHRdaMcRJEB5ygavdEuJBT7X7JhDNezu0+Lxref5plEShR8JXwGz8Apk46iZiJFwmC+NV\n", "3qYgtCxgAgV/avKObG2xpxKIfouJliDgy1KtWL+S+flv3ufTS65tmNxbw9v8rfm7GG2iuigTCKpS\n", "KhDUexv5+NkQ4V4MOUFk+J6A75rHfx9ood6mBLL9/V0fBZyL43qQgLcmiUYT8cG1TBWAtBXhm9q5\n", "Qb4GNBAzTDi4AA4P7310lu89g/9YFKKDBnKQKbRSSia6uEUeM7PcPOtj7wqK2qPeKPZkO9mijLQg\n", "Afv0PA3C/WTPfRqwR3ZuGYqbif+SCLPIM/MWogb3ZSQk9SIz/SHT21+Tst7y99phuocWn2eAt++J\n", "4vfC/chU3y+Za20Q2HnZgJ0Bdh/Y1zOBqj3+7/IAz3Ni6vYGzKnJJ4fPjE25iz+s854AACAASURB\n", "VPpsOSL55/PA/C3eNxCZUXZHeIdRvih5H7clv+f4HPKsSUAIgYV7WbmW5DArCg+DTSaQHBdUc+v+\n", "ADikxXaf4/f8Bxhacn19vz4FWKWijMQlfbovhJt6m4Lpb1t/7sUti4/4Dyp2nuWL7cMmAegGU0y7\n", "IKwukvSvlaQXk/9XJH2Xm4ZkMiOaC6bEa0OyfjcrEoQ2Eq7GWRIqpdQsh0xBVxEpLzyEUhDcUo/E\n", "EJT7Hw3qTMdQTbNSZiI6AQkFiyKzyop+flOEr7oDaS/P7sT3dIrX/WBZ3dlclZDqHpx9B3eZNIpB\n", "ME1Z0yebBPZLTRiscE9KpJqmeawYBaDQP3Nl7epNE80T8moLGqy/lH1HSd62tDyK5tYBiFIgmPXe\n", "Rya0XiGf99OVyfOMpYTsGJkDU9Ple8D/0UQTPxPz5jIoIHdCu8JE5GyyQpKvHW08LwaZ+sKLmAh2\n", "IdhSybvqBbYNiumXkH3OttxS/8vU7Q2YE5N/gM+DbNSHUe8FkdmvZ3sviC7su8WIKv3nyNjHS/L3\n", "R6r/E7PzCxK1SFZkdd7TBEhe3Y8/Z8XFP083WTGUR7q4x902woiZt6cSiJ+0cS6iGfHIijweZodb\n", "88WRAvh4fYPjvE3PWxQGg6bgbIsmndpiNhXYsaTOEjf3cf6su1hkwj7eyxlhUYhLzaZl6UYTo3eh\n", "HYbA2zm2xtsx1MpxV2lIm1bMh/wb96Rs8E5O8rxu5gmmxpScNIybh5O6TrL60Cv1Y6SkvjafL9r8\n", "HZ+ZXd8cmaU2yN9/k+c4lggwXqukztPT/kYmuNuT92Hl2sKNrEjA+oJJA5w+b6odHGAxLM7nTPi6\n", "1LRYE8DuBH6dtXNt4LIGz/h1Io/dn2jC/YYwUfdTFKiWRwLVv5PnvJxkU4foD/ZHOCND2qrv+r0D\n", "knxL+L1BOPvUy+7yuR1pL3ckAvVDegTFECzl1EPxCSfg69BLYEeCDUvKmBsRfP4nW7P8+mzLhv6/\n", "TN3egDkt+ST5FjTn7RjPnMPb0cV9uAARbPkKsGyT/MtRJO9rR9iSn8TFZZTJLBG0V0OS338a/MAX\n", "iclWjgkqmNBM2pKHC5MNcrkO3j4ntfis+3j+gsdW1heB2fmAdJGk5i7f3+St9WbS3u972xbw3z5W\n", "JRCW1FlBzJgHJZ5oUeAMwaNXqhruJamg1ZhctjDSlK38fWsxCHNLmmEi95EL5UFQSwWrEK/wkaQd\n", "/7Yi4WmaGvb1YITnWoNyU+8o4IsIR9fyAk3EVtXh/pAmaK+8Ph/DjnVMHQSGWNRKpu/hCRNNQvqs\n", "LydjYi3TBiaU8UyWNxXAWI0SExkVWBzEyxUEmPPK+s7zjaQYSaCNaBJbjKK335PAetn9fYAzkrpe\n", "JeOYAj4H/IoYx3QK0hZ1iCG/xfe6GBLWPkjaPRHFHqwD6wMrkWyewpzRB2zr4vdhq4NdRnWomdk9\n", "ft//MnV7A+akRKapaoVpdjwF/o4ezFXsy7mTSe/DVvsGkfV9zSeQXtQ0OouZwl8saMUArluZXOm3\n", "MXHk/NjgzIrXFQSBoJ2p8VilTN6b+rlpyMOsIUDVJ/qgKbiZEq9I4CC//gFwYHI+Eazytk60KFQF\n", "fq7FDX5vYtSOgWrR7ndQ0p4GbNxm4jha2qR52sbqA1qXaZfy9HK6qAYg/+4V31QDtvKglap5eU5P\n", "2tKytxHSNiyDyB+tvl9TU+Bi/vtYC89ZbQpEGpmVkOblrvDugUORt9imSKvZIZAzMTblJzTR+Hr+\n", "r+LYQGpC9QEmxvXg+JBqBweZhMtrTFhFM7ja5OiRjoOwiRloErLSeJXjLGLVCvQK30R4s0bY1MuS\n", "c9/L+zV7tuNIiC69P1/y84HI8xOErevjeYajEFNLIzOqIcHqbP8Wg2A2DG3eJiV5/gCM7OK5sJeP\n", "hzzMzHMo9NVcDe5dHtjJ/w/1vq29oz5gXwHbHpF8PtZgMCeC1XDmUNB5l72z7m7AnJRIMFWHNRig\n", "eZoTYiPNov4cRAQzfwis3yR/bySM7ZHcbzIDbmrwRVPA1/es6Nl2lEnb8CWT9qoMaG3JIjnYooYG\n", "IwNDIx4bQzvJUmxUln9RoldknUnQJ9YQIuPU5HyJEHSzwa/9/+0GfzZpspb2tm5vSby2oGl7ADe5\n", "0FBYM4O7DXY3UVZc6udOzxbURa0x5ukJSwS7W4gUB8+XTda0zlZ+i+ct9TZCmoU7K97B15H28KJi\n", "HWm7A3h9SX//uQamLFXGZOyFBOlnkJfZrcTg2ssjnM6VCGC9Twe+mflR+BWjRGtK5hno51bGtR1U\n", "ml8f8/eeB0pOmfRD6mf1nqOjTdrFOvPsUxRNkstSZ96qDPR8YMmz9Ae2yM7ti2utkLD6n6SMP5KF\n", "m/Fv4kwilOC/wIbZvHQMRaHvGhI8UxfNfyHMzPiknk8RsH+9im+lDQlPaZ8ujzRqaXttN7AbwJYE\n", "uxjswwYD+er6vjd6nLCq3113N2BOSXFCUhrbYJDmqcd+3bBf+yFOIUM7w1JSzYp7E8HqShPGYwUT\n", "z046QRzjr+JVEz5pdZPZ66OS1xUm+Pqgvkm9fYlEk9e08k6JrOZvUm4yWovIjry8n2ujxrUUzHa7\n", "mLBPebuftWjeCeD2Wjy1BUIbaSpYPW5aYNNz0yySq4bUEubpSSQI9SMCb7/SoI9migMHmYhXapLn\n", "Ki/XecTS9ueBn8v6J03jrIknYlvS/zdRb5pbC2Gl6nBwDdofhKrXgcEl139f9g0RNUQJX1m7iS3/\n", "i9m77WX1gk5vk0brEIvYu3aDr1lRQ1wqCK+DhIgKT1QzaWA3zO8v47wahggsU+zT3t6Xf0jufRln\n", "Tfc8ayDKhrkQTirkuxs4OfmuDyJ6IBpyAFmzC+e7NkToej0RPxba+11aiBOJBMkRiFz4rqzP7kEb\n", "KdsY7CKwjxoM4vfARmfvrccJq4X32N0NmFMSNRW6Bl3ZIH0R7NKKaz3264Z924uoSZhGCyznaBG9\n", "nhq531iTqe8BK4aiuS17FW+bvKI+Mpk73siup9w81a70yIwQdrx7NXuvSNsWQkycXpHnfL/+tj9b\n", "sgNtZbEvMMUbcEJJHS2YAvP0psnMWLp4WiuYJxT70YDnW3i3s4wDh+iA4F5dOc6sI56IjQlCkfnp\n", "vHSBz66PQBxWp7bY9oFEjN9eFXn6ERnFv+F1ZNrA3iXva4jJtPyYKe6jWT3L/EKmINKYtFgbeZ4C\n", "f9p0tBlYLWnT0cgDtgJP945FM+Q8JlxX7FvkGbhM1q8nJN/VkUSBcRISVvtl/bI6wi4F7dBEJJC1\n", "oflnN4oA94eBTbtw3M3j7c7DzFyLHBgqzcFIy7en/5/Xn+/VpJxJCKN3JuICOxuaw1XeA1vZy+hx\n", "wurg++zuBswJicJiVC1YXQl2cHL8PNi0HsGqI338i2TCaWoeQTu23xUXyO0M9rNovviHwa4+kQdv\n", "p7d9In8/e4V5oOCmrvR7+PVPyby9Ktq7ui8804HjS64vQXEXa0XCznRBmm5iA0/b/7IlJriJZKY3\n", "X4AuphK8XpbeNJE97mfFdnGAl1WpXULagRH+fz6iILrcrB5LJec2RLxPQcg4RL+5wNphT8QyrcpK\n", "wE6IOPJrFM1MRwInIoFqTUpMdw2e6wde52ONFmLP247oPp6Jz5mH5wk8bcuaNJVvW/kYKAhOni7z\n", "a1NMWLwifxoZUJ1ST9S87PlMmlfLyzudZDOCzIFtCPSfcjpdT4J/Qua0AUhwOp6IX3oHhZ1p8/fz\n", "TFLGC/5uZlqg9/LXRhq2NLTMq4iGY+EWy1nE239xVs4biOZhHeTtOggR0baHcd7IwSpoqnqcsDrx\n", "bru7AXNC8gFr/cAG+wDLTYFvg50CNj05twTYsfSYAjvQz20IcxD665gW7vEJe4hJY/OiwbEmHFBY\n", "NBY0ONAn8PB6Psjmj4lWDOURzjd1pQ/mh0dpEK4nuSfw5PyTolt4YibBBCB+1OJiHzyxwmJ/oImj\n", "a5qVLPZBgDk/q3sLhDOqWOSq0guWMdEb4vg5mAbaJSS8pGD8C/zei5v100yMoRWB+0vOn+8L1N3e\n", "hk2o1KDMnCciUbC6HuFlfptcmxfhgLbzsbNQi8/1UyKIui7uHPKcXTc7lzzfs1Z8p8HsOdgETN+2\n", "4t0fazIDn5U89/7J9dR0HDW8CDuZaplKhPknTeZ7TN6mr/r5d0whc2rlXQIclpQ1HAUQzt9HAROE\n", "zO87UiSlPRMJZhsTgeuGNFl70AKNSgvvaggKQv981r570GawdwtlHI6wmTvjpr1s3O0NHIhgFNtS\n", "H2O1YWDkgKnqccLq5Dvu7gbMCckXDesP9m0fXDl4/QGwFRCzrYG9BfYG2FQK4PWWwM5JvXN0WIAG\n", "z31QMomc0uzZ4wIyty+QT5lA3aGMEQY7mdigcy3VDIPrDDa3SNGQhi6pFqy87rmI/Dc/beHZUrbs\n", "g+ufYVkTdQRWjE1Xttj3tYrFfj0ix9FOZf1HU5qDkMZZpq14m6i93aOD73U5v28KLXizdXLs9Kax\n", "F1XQcKxLU4/Ea0wLfqF/W8J8ISGuDQl66yXnwze9IhIOKhnTs/KCcHBVxfVNEIFuX+T9mAnPu5kc\n", "H8KzBaD+SJPWKafaCOk1g5OtCGrf0O/J8xY0vPNlz5yZn++1iAncIPsuJxoMN/hrWl4w2R1BgVgW\n", "q4greAvaRAQt1VSEsVoduDfJ91/kpdmQI6vFd7QKCo2TgsjfR0JxyyFikPn2OqI3raG14wN/zxui\n", "jdmSCMNWFRezaWDkHiesTr7r7m7AnJB8Ap4OrUv6x4ItDjaOgqR/LB4WgejyW+Z+/5kPk4MCswaz\n", "2Lk0xiAMoxYeJiyQz1rUWg31Cf2fJlf6G020C4+ZKBrSRaOXLzpj0oViQtXk5fWvm7R1DE12pMj8\n", "EMrdsX4RfDxpz0PZ0BpjsHO+iNQt9tRMpEwE3k37Dwl3u9MSzUFBUzUeuZ8f6MeTgEU6+F6DlqAU\n", "Z/Y/GFdPe/1Bq9GqR+LtvuC1tMEB7kO4l8F+XPZNT0begs2EtNWJAukSTfKuA/yGOg3RRCvGBgz0\n", "FVU4u2AWvMNi+KT9/bev1VOWTDI5jUSaj6RNmcPENUm+0SZuuQMteqGaRZLa2ntYj4JGt5fBHln7\n", "7zPFKwy0GbV0JxKqrkrOfYi043UOAB0cTyHMTK5Vuo8kzEwL5SyO+LT+QCHIPM8j7ddSnmc3rysN\n", "mt5wbaDcKcSgxwmr0++9uxswJyQymoVWbdMvUbBNv0vCMowCpNbYtpGr+Jr5JP9Z9tBA/DvBrHUN\n", "DWJwUbpA9kn+DzCB2tcyxTZbLevTssV0sfD/2RbaerznfYvWPHuCKeOh+kXQTGFBMJlhyughakGN\n", "r/PJd4Gs/LZkIXkuneB9IXimvM9KhYpXEPh4HqQ1aCPGW/snDeInIrzHsUQOp038vrdbXXQ6OXbS\n", "hX0YsJH/D8Fyl8/yz5RHYlLOb7ys/YEved0Z43kfi8JK428a4e6Ctuo0qgk18/h6FQ4KE01eskE4\n", "yceVmQSc4aYg1IHZfyuTQBbGRm5Kn2qi5WgmWP3KIv5xf5Mp20zM9teVtKVWXsLvNMKKVBHTkv+n\n", "WTFuIc8hYSXwn032fpx3JsfXMijeZCoof4hMzit2oJwBiEk9BbVPA65GmrQFEcD9GCKpstGJtSEZ\n", "I8PD/XmHvwf2lwZrWg9W2PuyuxswuydcmxCwVXOBPUn0piizX4/1c4mm6nnk2bFUUu4tJAsSMnl9\n", "Euro8dCo9cvGROHqRpqAfX1Re4jiji4DhKfC1kEWw7T81+DLJlLMggt5Q42V19sL7VINuUA3y79k\n", "8lyT6hfBDywSgF5cMsfVtGkfIyxTFT/Uy57v3CZ9ViZUXEz1LngNIoXCKU2e9fAwVn1yDwG095xF\n", "Y2YT4MbkeFlcQwaM87pHVtw7U+Z3ZA5aCAlYwVHBx9MhpliK/zI4xeq97kqB8EGoeg+BoHMt9m3I\n", "UzA/bxLgtreimW2qwc89XxXlhpk40kK7tjP4rp9PvWbNitEAyp09yJx/lH5oxdA3eZph0irn3/BQ\n", "K5quLzbhwKYZ/MSio8cilnFyTUMemi1h2irebR8UfiinOHgMYZ5aFjYQY/ydxJBXhoS+q5F2agng\n", "WM+7tY+NLlkbSKAtBvap/+6JeK+O6BGsmr+/7m7A7J5wbUKuqXqSlvk/3iob5MjDZzn/3xYm/KAF\n", "2wDhufKB/Vn00ECL+Lv+zH+lQSDW5J6wQA5GoO3svcxvsKbJHLizT+THGFzg/+s8oZpOJAhsGhaQ\n", "a2kequewWH7fknnsd8kC+G7J9cb4L6/jK8kzXFlyvb2kzxoKFSjsxuNEbq7JJJuGFvppd6IA0OUm\n", "BVyrVnEtLGRdHo4k6ZsxxbGW49gmmYTmG/24MNZSlvL+FMkuk/HQz+rP97F6beOaJsFqhgkc/h2T\n", "BjSYy8pMgf+yaALewSKjeu41+4zBJhYFpIZkqc/qWpuJ8T2vM01PGqyXPscb1LSvuSfrh6awOqsm\n", "+dfI++fFjozPiu/6R96OUOYkRBFTF2amyZy0GXJqSBnWH/FvIsBEzkNmxP38nqYeftaBtYFE0L0c\n", "bDGwCWD/ApvcoPweU2DSh93dgNk5pQNwLEXej6CpugZsH7Ah9QKVod1qK/HL1gNpxcajWE4Xgz2b\n", "DOpvgv01+YA+ax4aCOz7mj/zkyTg2JJ3lppErkXeOBZ3s/18cVjPojZohtWb3F5MFhjWabGdO3j+\n", "KcDGTfL2IsZ8K5nLZlgMI3JUyfVCgOg2ZI4si0d4pOebBiyWnF/dJ8kOeUJ5XSv7/2u87AdoEW+F\n", "ANbv+H2lHE+zcBwFTWYlwL2T5bYhTZWbGoMZOuDmJlnEDU03uMvg9eRdFukKvMwT49gYapEuIaWE\n", "CDQKj1sxCHeqCVvRRIr7tsH1nieA13NB5d8mUxsmT9SURLfMazYIXeOsjCwVmboSU+hAq3aW+Mjr\n", "yNnfWZWCafMgi1xb11h0OulrxRiI64f/HRYE/NvcCmmn0jBKzyMNcUfiOg5BHrSvJ+VMQR59myLs\n", "3peRRv4LJBhN3GLSFd57yLFjYWSa/xMo1M3HLZRr9IDXC33Z3Q2YnROZytTA3qdcU9UvO9ce/7ei\n", "6ahpxQzs72DzElW008B2AnvGj2eAbfkZHOQIvBl28P8i4YGhGvD/e5+sEk+iFUxC1SCTaeZDE/v0\n", "W8k8crdp8Tq4w/1MJJN9ieamyw1iu64qmc+e9sUmx7QUzS4Ii/EUJVoyhHO62fM/QiSQbKNFgbFB\n", "++dJFoybGuTbHDgnOT7W77lvFo2V/rjZx9//kv4/jIOm1BgdqKvN63Bt2FBTSKBUcLnMBYBbTdQF\n", "+Xs2y+gKzqcGYl7EisJI8A5d3MRdlpfzrik+ZqoJ2yDLU8Yy/5qJwgP/Po5Mxl0qOB2elTXOMkLP\n", "sLlZiGgen0jNcSHX4M0w+JNF6oU2k4dvrbwM/H6dwZ4mAS98OylmbX2Dv3ne5lrd7F0ugPBMLyfz\n", "yDSfR9anAwIa8oL9DUUT+yfIWrEA0qYvjsiGv+f9lVOWFNaGVlIuACEP1SUQx9X5/rs5tC6wjaMg\n", "sJVGGeAz5MHe7Q2YnRMlglVIY8C2A+udCFODkfZqDK3bosm0YmWD+liwhZPjV8CGxfLDwloJ7J6T\n", "EgL5uwcgryCBqlUAtv9/2OQuPt60Sz7WtIMPXTzDhCt51Fr1DCwZN6G+S0gIIivyu6facCsGsm2U\n", "qlnhK+qYj0jB8JMWxmRLkyRyLw/eWp9SAdxFtBSfS47nJWLM1p4F42RbxFk0CGkLtkBaCENmmK4g\n", "gCwT5k2CUNCOpqa2tw1eSRb9PBWEZcdW9bKiEBIEoqEmWo4vloyZF0w8UC/7GA5tGZPlS1nmH7fo\n", "Rbu6abMR8qWC01oW+dXqPEefB35b3x9MQJrcEnqLWywJweTfQC3gdgiJtHD8rs3gEc8XhLBw/zJe\n", "XordaslcHsLM/ImiR95LiIBz/g6MiV7I6eYOin1wL/IA7kOMGrEvcFyTdlWuDa+AHUO9xikx2X2M\n", "oBP7UkKNQosmxnFUmxgrvoE53oO92xswO6dmA3sG2LvIPn002Ik+CDtii6aB8GaID2tfH/iBI2sf\n", "sL0pCG/7IXDrHL9T8D6bBwHULU6EZczSdeBg00L1oolHx0zkhn08TzAvPJ1NzjW8xu20aAJAgPAg\n", "yFzSJO8XY/s+b9VBokNKtQelu8chZe1EeKtg1tgiOT8YabTW7ugkiXbxI4khiZ6gRSEf0WgY8GAX\n", "j4+qyf4S///JTJY/jFJhPvVCTQWBPPU3UQNUXasJf1YftzE14c2wevb9kD41ac3esajZ2SfLk5oU\n", "g/A1j8kbMHw/h1o9fUHpxuWt7Lgs3YIwaLe0mDc4PAykpmn8rkXt1KKmgN8fmjRe+XfTNHLCMIRz\n", "THFs05FQtAVN2O2zsuZFsf4+SMqahEyJWyMN6ghE8RAY2Rt+J1SsDY+D7QDW5vX8Irl2JthdFCwm\n", "a5Y9e/L8lSSiJU5YNVB82TfwWfJg7/YGzO6JDqhizwW7g4IqtpTMLyu/oWA1gYi7Whlsd/+Q7i4O\n", "4rOB/ZIyjwR+3d19N4vfy2BqOJ12i559ZWm8Reby3iaMxv+ZuK6uNZlJRpnMHo/7/4B/mZYsOsXJ\n", "pYU2Hu73vEeJNxJFzdCjsY4HGjxLqj2oB6iiHfOrwFEVbQphUd7EAdxIUM0WxtaZxr2MocQ4bHc2\n", "6JOFw4KCXNYNaa5a1go0KLtC4Kl7jqmdnewpDSR8vY+X+0y8aPsldZvJcy4lnX3FqoXnXDhLNwoz\n", "rDHo/E2L3npPWBFzhQmDlDKwjzWR0OaLYSnx7PT6fExAnorPx/74usWNzKoGD1qJ5+POFPFGIdXo\n", "LZBmermk3zPKigNNuLWq78SsTKvr39xaSMhOw8O8iTBtLYWZScrbFG1K0rI+QESmw5I6T0aao6No\n", "0QxNsjbMALsN7EtZn20FdjvYCZ7nTF8vEmhKM4tJUxLR/NtPv4HPqgd7tzdgdk90EDw4joKEfw+R\n", "++cGYGBJ+U1NgSE9Afb/2DvveEuK4u1/70bYwLLAkmFBoixLFJCcs4CgSJIkSXIQMaCCgvxAERFE\n", "BRHkRYKgiyACiyiSJEhGMsoCKgqS3CXv3nr/eGrO1MyZOWdOuPcuy/7Rn3t7zkx3T3dPd3XVU0/t\n", "AfYXsDvTOqaisBkbhTLPAY4I+U8BKw90X/bFuKSn1+EmF/Gy7psSFonHTWzSK5lwVQ+YTvh/MvFH\n", "/TI8d7s/M8LEil4s0JS0cRA14Dx/wMkdKdeo+Kl8sMk1v7UYdaHe0s3B5+KDoU3zUCcoNNT6FdYL\n", "fJTURPs+sFpJ/VeRJTK93p85scP5UCDw3GbSQl5pYuPPCBFtLfbpJhRxQmeaPPweMWlR7rQsAedZ\n", "Bkv5+BXh6GJfx81seO73aX59kImMM//8dw12MdGGbGJZwSMKSoXC5rsITF3I40X2EBCdQ0J//MxS\n", "7e4nTJxZSf3PWYrfqqWHELluES/X7kijORRpfAItwTkN+jB+76lWFx3EDqTOY5PJyGzcNMxMaNuc\n", "KMD17bmyrkdmwP0QhmpXFP90O1rQfoV6anvDsqGekYga4Ul0iL8KCVQJJrcd7z1a4HGjy16KBe88\n", "02O1BrwBs0KqOpGm5CYS8vZLQjFsASzo5c0NHBfKbxmguHt2Q44xuUah0+CKYaLeCxwc7plnZp60\n", "FcfEAeJHGOzufTGkycaVeNgdZcJpvGAyCyYn+w1MG2JCbTDDYHV/5gDfHBIPpGr4AV9gk9AU/6AO\n", "e1G4yTX7vSP1OgLLJhuVExMmgsI9VqxNKaYECGWO9TFJAmk/SwEBaH7eARv5/W8Bozv9RrMCzxUm\n", "oeezJhzSU97+oaXv0aSOJjEWXzPYziTYFHndvWb1Tggx1RwlwtjH3xPBaojBNQXPzzA40ZpQc8SN\n", "M8ETvYljfcLG9iuaUAlk++O7lmp2P2dZ3Nc7BidZjgLhdHLCDDB/Mj+8HWcjjVjyzH/rx7goTYlz\n", "9TZkpn4zlPMqwt+1RMGAHEROJcuLNw2Z+/b0e4Yg0/g4pAEbTxv4V7RHfDW2e26wHXyf+DSi/Cnq\n", "gE6892gi2NBFL8WCcj8wWK0Bb8CskOjAFh3KWBu43P9fANg//LZlK5N1Srau9b2Mk1BIhDvIBvdd\n", "2xfTMZ4f6fmNBrpfOxiPHLP0DEvV/oOsmFDTTMFmk43gYZOgtYXBXSZ+n8kmQeoSv/8MSzViD/hi\n", "Pl/LixbywgmbSiPNUIZpulMW8B8APy35bce07JH+br0GYy0bUy6mekqAgnJHkJJwNg227GOZhJk5\n", "ouq75cqoGFT6YW/7+KbvUVJPAUO+mRwhPmJwdrhW5HXXKE2JY/9sdn4n9zQyBb5nYh1/p6DsOg/S\n", "UcjLzZCAvQ2wU+5dl6KJliXtj3XC3P6qZfGJk03xCJPfa1rfuu8HaVB38P9XJNWAvoeEjKBdbRSG\n", "qXb4icKUISFrD5wvqoW15idI0xpjFD4KHIzwjOsjD8ArUSiu8ztY25ZAQl/GAWAI2ElgL4P9p/re\n", "UIe/7MLa27GXYq68DyRWa8AbMKsk2rBFF5QRVd2fAdby/zfACfSWB3uQVK1b9OEUqVe9fV/H2dyB\n", "rfxj35FsQNR9keYkORkuhTASHcXM6uexyLlfmy/mJ4Zx+G7Jd56cqpe3FIfyJZPm6w1TbDQzYUUS\n", "c87Wfu0WC7iNlrhxqLlvDzFt8NNL2vd3Czw+z9MZC/juNPBIpGYSHG4COZs190ps7o2ITNEzkHC4\n", "TsHvCxG8lHwzMuDpNt+zRODJp7u97StVeo/8t0udsDPDRCr7jsHNJm1frC963T3UoF1TLAgDhkxf\n", "Be/0rkkbFK/3mtjVnzEJVkW4owyNQw+po8E03CMTadX3piKnWbY/MHnnRcHyBRNxZ/L74gZ/sAIh\n", "LxLUrgb8AoVySbRCTxPMykXrcBOt7xtI87ViC/NpXiTg7EsatNt8Tk9CKQYUSAAAIABJREFUpr0z\n", "ECB9foSbGgKsTJve2YhT7ldksWwP+rfxOGDL0L73XpfW3cqwlZjKTJN8gLFaA96AWS3RvZhiW+Mk\n", "i56fL5lkwxHzejLJeqmmFQtl9aBwJE8Bh4brY1G4hI3DtW8Ct4f8BDyUwsyaKBSsknR62MyKNplo\n", "jkhOvY+aNslpvvAfYKkANtFkwnnD5Ib+tFVx4c61d7V088FgRSvXqpnBDXFj2KuP+jC3MW5v2qR7\n", "vR+mWXHIkaaeVj2IK+syv++FfD/5XP9SyA8jZdbfsv33KAJ0Xx/6+k/e9vWbvke1OfeWwQ/9/wN9\n", "PsW68153+1oT3JwhwtifUtO2RI3XJSaBP3/9XisHw0+xHNbo//z/hKByuL/fYBRDr6pjxti0zYMt\n", "i0v8sQkAjwmbeKpJKEx+r30/yyNuqzm9zPnJmsovKPvGStbhmB4DDqDFAyMy3d1GvUnq/4DF/Z5B\n", "KBjyMYiO4UtV+y1X1yBEDHpzqKsXCYN7APuFvu7IYtLNdbfI0Wo62HvlC1oh/RB9iNXq6zTgDZhV\n", "E10E2aHTzhPolFSnFQuus7XJVeXDweOhIXK4PyKV9tG5ew4lqz34f8CfQn4+uuCx1Qd932AzvdwU\n", "viN/PbOZ5ryMBls94/Mo0+b4mgmYm4+Xxi0V2+vah70sDRD7i7J1xFOC7eJ9Wjhtl9S/JHBI7poL\n", "CtEL7eOWda0fasIK5fmPKnEDDUc8QAac3ey78c3JgNdafLcGQraZnBQSjrJEYN2i8ns0r2eaz5H/\n", "WXEQ4dcs51VqJRqW3lzestrVxFQ7zVJN2HIGGxq8WPLuUyxH3PmVMKd2QMJBnUNNhb4Yg/iRvOw/\n", "5uo9J/RzkRk0EzHgAgQE/xSpcD0N+FSTNiwGfIusd+E7iJBzjRbfZ13kXHQVWY3RfcA+SDP1aeTN\n", "eADy9t2PNtd9L28/JPwldb2JApMvXvJMxxaTLqy7GcHqfbAXwQ4D2xLFGSyZiHWCFX2E1eqvNKCV\n", "z04tDJS75vr/GwLXUu6h83NKQrqUlD3IF66v+//LACsAPyS3aSOM1h4h/yBwZcjPFKB3Kpt/Yqoz\n", "ibhWIBF2kv8/YfADSzmCjjf4qW9sNeHsHRwPUtC2fFidIASeGzbXvzdo6/1xsTyuw776IvJYioKM\n", "CwrDTaax/MY/JHdta0uD+VYTSBBXT2LSOYgG4FR0Kvdg1C2ZbZoIVjFd5fVu3tJ7hDEtEOavNbGE\n", "/6ukzmS+jDCZxhJNDoY28RuAe9JrEX/3Qrg3YopesdRMPdIqepB+0f/vBXb1d1oMecm1wte0EKlA\n", "0FvfH2Yyc99c0h9nJm1KTIEjfR1Krv+JktBISKu2NRKCogD0GC2EmUE4wL0QPuoQUkygIU3eZT53\n", "I5B+S8Su/y10AG45JBIyMX6DbODll5GGbD6qaU67YjFpcx0ZlHwD24KdAXYc2OkuYJV9eEWmQLqM\n", "1ervNKCVz05tDpps9SdQcLr3a59IFkNkRjmuykcZyt8BxaU6hqxqdg8Cx4rX+wawabj2AH1knmqx\n", "jyoClpM0xfKkmtSEsyMta/5KTGDTDc63LCdQTTh7Fo+7F8amzLPF0o2/12Ar/20VE2amrM014eZt\n", "XPvYxf7LmQITbd1ilnqu5akWJppwRNlFskEdk0i5rUIq9XQ81/+/tGjuN3+PIu1lTJd5XTtaq6bA\n", "7Hw5yuBCS3F8/21Q5+FeT15rJbJZ0liLBktbfaiXkfnnvO+GlVwv7NdDQv56YIXwTpVNZYh37Fkv\n", "5zng8rQ/mn1/SUo8eLkQkVcmGKYZCKBeh/FCzj7HIyEk/35vUcFzDFEkJGvmBF/H3gjl/BcdPBcM\n", "9/8EMcnvDPyxg29teS8ncl393etryxO26vfR6Rrhf7f3vjjb54/tRUpY3SwVhNjpKlZrINKAVTw7\n", "dXEQteBsU/LbPAQySM8XcgjlnlsMGOf/X4xU0z8Ji88QX1zGhGeWQ1qe5cI959EiqV4X+6XAxb4o\n", "TbEiqgDqhLO/GXzfFCbkZYPvGXzaxIZ+t5dTC/J6mJcxCLHAR5BrwSYXNSqvGCzq1/dp0O7MJvkI\n", "XeAiI+vI8Hzaf7dbqrnbxbL4qki1MD6zSDapa1HScDemGI1R+JlsInqscWQ9gbQgM0iDJRvN2d8r\n", "ai8vCH3eGni9fr484vOhUX1TLMdantEs+PfzjH4bXjKHE9qGj5oE8ljeaJOQuKNlwe81oevXyISV\n", "aHeORqasY9qYN2uQBs6+B9EJVDjc9JpwaG9Y7nBzMindw99wR55QXw/S3F9O1hvP0v5qicD2FuBw\n", "6iAA3IYciRLS2mGIIX1fpNVa0a+141SxFgpdE828d6O4gDMFCLvBWH8fCf2jkTZwLe+HTaCzGIMU\n", "YLXeB3sEsco3Kq9qqLg+76OBHqTZqQuDKNNdjLM2vsG9axJiwfmH0Sx0wjLoJDI3qdp7HWBy7r65\n", "gfVCfhd0Ykzs5oOBzWiDDK/NfimIPdYaqSYZ4ewBkybiKX/+LRNL9hf8WsLenoZg8TYEoHGeRuFx\n", "S3FM8fqf/FqPpeF1YsqQRSbmtEM77K+N0Cl9VP2mOMMkRCaC449z7clQLdQWySb1ed8uaan27bcF\n", "7/qcwTL5TdKqcnjVv0u+/CT9yMvYwxqFBKr2TsubtJl5T8AkZYT5ydRjynqQu77fc1hJOZG24VCT\n", "ebrIuSDBXz1mQcg6NMydE7zehYAdc+1oqPnw9SChLriBoOWi0uHm8yYusVp//DuM588JWhv/no7E\n", "PeGyaYQVf+P1BLbII3ZbdND8Qq7Ot9BhcpXce26HSElPQabTQrxTk/kxCK2LUWs9A5krJ7ZaXj+t\n", "o0sAp+FOTMhTfEvvx1HIyzfO3Y5iDPpcsyFgl/i930PEp6fMFqxmpwEZUJ1y7yNgsprcfzjwrRbK\n", "H4PwXWeTNQt+hoC98mvrEkDRyAX5FVIV8mBaYDRusz+qul8XnmapLJzVNAXPJ+WQ4WBatsHGUkQW\n", "aQZf9OuLmADQ8bdEo5IJcfIabWA7wrsOxvErlGp5EgzMMJNWpqhNPF+hriDsXGhp0NwFrd509qil\n", "m25i+prbUq/O5uzvVNrgvxfKzi72LfThWMRhZBIW81q4agz5SEB5NR3bRmbMSNuQvFuR92ZGmLuL\n", "1PT0e+CLBePTlJARufsnmqWLCYc0n/+LUOObSr6fv1oalukJk2CVjzfIG8BuoZw1EbYpmsteoqbR\n", "a6aV/qsFvqzrEND8SlLcnvm3eywwT3iHkUjw2hl5RbbF/YTgGCeQjRX4OvImXI6K63V/JBR+6v8Q\n", "cfQwUkE08Xq8H48S0eAbaNVLcVUEPfmej/dbgB3rz/SCvd5EqJptCpyd+mYwizFXS+JmqQbPRa6Y\n", "c4Gtmtw/F7C2/78NApeuQgAVI1b5+XPPnQacFvIXAg/3U9+0DeqkUDgbavUAbv6FhMdkUwomipEm\n", "cPJYS0HeSSoji3zP5ImHiYsobpDJxlzDpCT4kp8BC3dhHjXAJSUb+UctjT1n1gouiYzg9rSJ6X49\n", "f36HUOZrYdNd3t89Ycg/L9eucvZ3KgnIa8exbNslHeFzbs7OjUJh/jZgl5Iyzkvvy4euSVKvCXd1\n", "uaW0DSO9f0aEekb4tRoe6+nwHZyHNvyTQj9VPYicGPLfIYUJFAll03PPW33cw1q6A2lJRiHTZD7M\n", "zI3ATkjYsmo4yttMIYvmLKpvMtJGDc6Nwfz+PX0LeU5X1lD5s/OjsDUnkzVdv4A0ZAu1Orf6aG3s\n", "8Xf8HRKEByHz3kf9/92BdcP9TXF3FKyZw8nEKEzS637vMj5nDozrwyFNhKmYZoPXZ6fuDmLj0+U2\n", "wM7h3oYaIuSZMlfIn0GJF47/PtIXjkM8v7IvKCeQPdnWBRZFQNfvhPyZhNA6XeyfvBdeW6BOioWz\n", "aaTemMdTZ6IownqsbfXCVZHWwUy4rsR08xPLah22tiDMTEOag17glA77a2FqG5/l0iu+OSWmud1z\n", "v1eiWigR3P4Wnk94j4qEzkv82kgTYWnUzkShsy6GWVXt5VN0FhJocIP5Er13P4YT9uaeXxoJ5b1p\n", "G/PjkKTzTc4Ez1qq9Wv4bq+EdeJSpKVMDmEF8RSLzGpz5cv8Qni+apDr5P+3SM2IM3wtWQWZl6Iw\n", "8l/gu4QwMzTEzr1hsKrPj38bfD3fP++hQ+TyBf1/JtJoPQZ8koLQS03m9mCk0b+RrED5MDIDDqEi\n", "0WpfJeDzPg8TEurDSHFScxDgJAg3NaGNNXcBJKCdR3Zv+h86VH+NrOPTVjhOlM5i8HadUb7l/h3o\n", "BsxOHQxeG3T/SLu0Wwt17EhKEtjjH0qpcIb4hn5JEMZ8IXmWnJkKuTVH78WpwDfC79vSBo4hPN8n\n", "8aUo1gyGTWmESfg5N3z7D5t4exIC0oRYNPm9zHXeLBUkBluqdYjP1zau3/vfp2mT4dnfZS6VM6xk\n", "HZthMgMmhKaRc6uSYNWA82lzf35eE/9SkZn0PYOF/fqmljUjjbJUo1V8cqVc4EkcDL7YRp/FOTEH\n", "4oVboGy+NPnervV2XEglj8ZINNpIIMqY2/6BANt12JjGZrV3DT4Zy3mwfv4XteFwU1ifmrn2EWT6\n", "SUxxzyEy4gdD2eZjUhdmhkLh/FxLTea9phBVe1hWM1YL9Bxd+4chjdTWCNLwdb9WWfjxtepHwG/I\n", "0GNgyMP6DGC7dr/JThPy9P42aUig/YHNCYfocO/2wOktlj8ICUZfRev6aLTmX4F7XCKt1LKh37fG\n", "SU5LyuwIqzWQacAbMDu1OXBt0v0jYsYRoZzt8otWgzoT7VTyYYyg4HSA8AjD0cltMnInjoDWhQia\n", "Kr82BNgg5D+CTrDbh2vjWuibKifnyXTofeOLxpLUNFXLm5iu9zEJAOaL/PYGd1pW4zTCZAYzSwPo\n", "ViGLjJxRFn+fF3jR//8SbeIMqExRkLDYjzKB96uZAikVrJ4wgbTX93I2tlSQvNLgDksFiVpMuUbj\n", "+36j8aVek5nQOTQ0nefKKBPen8HN5S32/UVexjSkOazg0Vim7YzpeUuFUQyZ29bNvYc1Nqv9z2Aj\n", "f35OC+bGVSkUyiLb+xsG3zZp1jLtMP92Xsn13w9pAOZO51A0k57ldU+zQKDr39QOBjeZvsWs8I8E\n", "jHOAo5CGf/UK4zQOYa82QDizz6KIAnHu3QN8tJP1pYN16eMIL7a/5/dAXIV1MAF/l99WXS9I1/8v\n", "+vxc0r+fX3ufjA3fV4SZrAVc0cI7zBSM8m31/0A3YHZqc+C6QPePhJmf4yEj2mjDioQgvkjIiAGe\n", "e9BJ6U7/f4R/XPMSTm+I2mGZXNmLoRNt8hFvidT3DXEJVDZn1E7OM9Bm1pYGC2FAfqyy5vKF/RUT\n", "/uifphP+6QbHWYqRei4s7pMtFb4SjcIkU9ic6CI/yq/lWc7rYqtt7vl3gJ93ML98Q9/CN8Oi6dVr\n", "sKvXv7LJK61cU5SbFw0Etxcsi4WZw/vpGstqZ5J0VaPxfaTqYuvfgtHgFJ2bZznhfZjVs/OXOkV8\n", "gXCQ8GuDSfFE3/RrTQSeKsGc/2OwlN83Mc6raKpvIsD9x1JhZW4TJq7mrPDr+jb0GqxlIkiN5dxq\n", "wTkgn+6nYpgZaoLVkJL2buTfzNEF87cWtmoLhBO7gCaHNp+zK6MD4ypIK/kldND8Z3iHVxBeaTwy\n", "r/ULiBppgg7Cta2Iy3BfAidZ7v5P4Qdqf7e1itqKDuOj/f+zEQ5rU88fjbRUdVov/30uRJXRttmT\n", "mYBRvq12D3QDZqc2Bq2P6P5xfpIO2rU3cFbB9cTctyLibdkh9/v2BO4cCugYvOyrQn5X/2h7cvdV\n", "5K7KAJ3b/jh9UWqwKV1rMme9FK49YOKCwiQsmQkLkjd7NYvLZ1bEt0QaTuSWfP+0Osd02j+7pG4z\n", "aSIWsHSTw6hGtdBkIz8/jEvUSkTtzCEGq5m0Vw3Ht5J5ALjE79+jyX2tCu9FXoprEPjdgKG+ERry\n", "Tota5QZzusyjNEmvmoTepK0ftzRQcz0hY7Gg+zcTJQYmU1qiZa0J9e8Vt+Fsg0v9/7ssJUPNpOnI\n", "22/NZnPV7zmhWpuftfpYoL0mbXLt4LEE0rZtScnh0utJ0u993K5GjjiRQPTv/r1t2On6XnGuLoC0\n", "ZN/y/DpI0FmvwXsMCflTycEskPluLRzHhjB4vwU+4fkNkHZqUEHZieb3lwSnJbrk7cgAMsq31d6B\n", "bsDs1Mag9RHdv39Y8RS7CAWg8yZti+7WJ5MD56INe33//zAKtAMIW9IQj4C8riJf1LaItM6qs61H\n", "7qUa/qQldXJ2gX/YpFGKcQj/alkuo/+YtEDXeX2jTQzuu5u4oVpp/xQr4ltCPDOJaWrXDuZZRSE1\n", "YSzHgPsqlt1AE/M/r3O7UO5jVqydecHgmQrj23zxJWU536n9fjncZMJM6q8m3AG3knp27p77rcSj\n", "MWo5i4SLqSbBE5Pw+R8Tb9rjSZti2BgrBsn/w1LQ90pWH3cwml9vMmkwowlwhimOZt4DcMlMG0r6\n", "ZDhZcPM4gnmVysSvZvANkxdpTdi9p8J8+BHCvD2E+K5WAM4H3g3vcjfyUBwMTKRN7X+Ftoz0tpzu\n", "+WURZqphzMTw/Gm4x124NgGZCDfz/HnIJLqt5+enMZ52NXSIS5wPzP+/oMr31mY/9DmjfFfaOdAN\n", "mJ1aHLAGdP/TKddgtcPx4R/uZzto6/xkmbyPJ5j8kOB2K7Cm51dHKvaRZE/sJ5BT1SMwZOTReoVa\n", "wNWjTALOyxUW3ETjs1vlTTDXjoD1WNEUxuTGUP7OBnv6/0+ZTBOn5DalMwy+YooNmGh92mOLD+3a\n", "3397GTiozfELG/ooE99QQ04mQ+7T4yuW30BA+Z/JmyvZkDc2uctjcFCFcc2PbyUm+Fv83sIoBn5P\n", "iUD4E5Mm8l+WJXStF+6Kvj/gdL/nvpLfCzwaE5NWkUD0tqX0FQuaMFbx90yg4waCVa/3+0Ym7WT+\n", "96Sc4Saz9+qhX54wmM+ybd7YRH5bj3UK33XEcF5ZtrmXj4WZ8I2PmTRUz/i4PGnBDFqnlQTWR9rz\n", "fRDQehEEl9iZ1KHAkLfmJKQhuqyP1vnByMx2qq+Jc6ED54FUMK0hs+W+yXxDh+YN0Rp8lF8/CLG8\n", "b9hCu5YH1s7PxQ+Cea4/04A3YHZqccAK6P6TdKNP6LXBzgd7Lfd7O6y0YZHrQQFCOyGg3JFsMOl9\n", "/INP6rjUF5I8Tutg0pASg3xBzZsA16CmpXnMBHreNbz+jHx3hcU/0RxlNECVTlzZTemVkjqSNMUE\n", "wk7yycb4pCneYE1Qcjfz9tjiQz/d5ffc3cGYtUKwmtz3CBW8EqnELbVOqCPBXf21oG9vMGmvysa3\n", "ErfW7X7vxg3uKdGSXGvlIWzqgnvfj3sMepmLkxJfNgS8U2gSyQtE75kChWMSbA4yuDh3T0awamJW\n", "e9/gnUZ9a/VcW38yWCj8voxJU1bchvB+fwBWamF+lgjnD5g8An9iOujsZsEj8Dp/dg6ktRmJHGpW\n", "R9QCuyAOp12RoJs89x7Cky3jzw+hBSqGCu+yHmKVX8TH5ArEjt90zfX7l0Im5UWQ88+3UBiyX/g9\n", "G/g7VQbU+zvGqB774fE9W3Ga6lYffVDSgDdgdmpxwBoIVueADQ2b3VCwrcF+A/Zum4JVqHeIf/QJ\n", "XmoQnYEShwBnkXL+DEY4gQR8OQ65LucFqEUJHizhbxBwpplwJNO9a/5r2pR/me+y3AI/zVqNEVe+\n", "KfVaikUpSsmmNMikCaoJSo/5xnlnWNCtFbb40LYtSHl0CrEXLYzX1sgMUopxQOaS5PdTK5ZbVXAr\n", "2cCTtJIpJE2j8W0870kF0ULhpnysk1Q23nUOBhFbtT+pCfLSFsYjMYnk2jPd5AGHwTwmIfRlgzdL\n", "2+PltWBWS1LtW+nNtuFOk5YsGcvzrB4jWGvDW2TDYI3Lf/NN+iEI58NMh6kDcvUcacGDsbbRI8zn\n", "xSgIdcLFNRp5B04J8+4ldKicH4X2WrCTbym0fQWEk1rR8z9DDjuVKGbQmrkscliZB3gSeTpf5r+P\n", "R8JiS+ZJsp5825LFb3bsNPVhSAPegNmpxQFrEvn7dbALwDbJbUjhBPFmKwtXg3ZsDPy6i++1JPCb\n", "kB+BTIBne37BogUH8c58j4bmjD+YTrTJ5vKKZYGtUbCqruEIbZiU3ZS+bgrTsnnBhpKkBLxeJygd\n", "RKqq7xiwiUJTGAqzskiX5l8pxgGFMUqEuYYM/rnnit7V5GX3Q0u97QZ7n+bD3jRKlQWrhEOpEHzf\n", "eI6ZSTi+pqU2oMOFIY1VO7HngkDUaymYfQ6TgFPUlkKHh4rxFM1Ee/GMhcOAz//1TAGfE8qQCVYv\n", "gL5v0izW2vA7HArQwXxcgGoemjegQN5rAJfkylnE15FIm/E0igtYqsFssa0LI2+9dTz/PWSaq0Ro\n", "icyB2wFf8fwNCGt6ludHEOIqttnGxXBusqR/83Ok205Ts2Ia8AbMTm0MWkXw+vNgJ4OtWL+B/x2p\n", "iZfroA09ZM16a1IRW1Ox/B2B/4erwRFtw0XAErn7hvqCFbQJVzb55j9vcjs3y5oCEyGo2kYc2jAp\n", "uyn91YQRKhOqpsRN6X0XKNZEPDj5MEDHA5vSPlv8HIhJ3FAYjZacEQrK25MmAjUiCTQfj5bC65AK\n", "bheSEVYvD/P3eBPup+H0z41vJVPgc35v4XdBoWD1bxOTfq+lvGVFqTanInFuNNee1ko/hTJcIJrL\n", "UgzaHCZOp880m3v5IMMVnBV6TcDz+ZMyrkvbkBDGYnCsFZsPrzOZ5doLcp1r79EoBt99yPRVJJy/\n", "g7wOT/G5tah/Ex/1MiYimo0QfopbEdZqENL6bttm++ZC5rcEHP5lhFvdstk34H/HAF/xPh6ENFOX\n", "k2rXPkaHYHkv9zc4ptX7aN6Se/vEaWpWTAPegFk90eSE32aZLdP9j0wneAwCaojE7ghyG3obbTqY\n", "4MHTpfecI/x/FBK0Jnr+VDwcQ7jHT+8xzMozVoyvSjRWyck5mg+qC1ZkBLqyTak0EK75JjAnAqVe\n", "R/aEuC0i+Zuvw37cw+t6lxASpM2y1gWObXLPIGrBcfkjLZqMKTS5PWwpRmacCSjddOpbi+D1hI9o\n", "fPV29Vq5V2KSasLdVBzv5pvu7n79RSpwNzVod9DWDDW43tuVd97IzL08p91q6OAyg5qgFjFvr1hB\n", "wPGHEaP43tTC1Ay2LBP/aybvzuQbfLZRG5ppQ4ciDqklEQZqXtzZxX8/C2nSF0WYqbkRXmoxpLmN\n", "wsNmSOOTtGUGwjRtjkxydZQvFcYhad82nt8HEZ3u22Suj0fQiGHANYixfKznv+zvNBj4HA0cK1po\n", "58FkBfwNaXLgoomlpCzNTIGR+zMNeANm1UQfhVMJ5bdF9+8f6KaIsyfG7JqOvKJ2I3jktdm2wb5A\n", "dC1iOzIFRmzKdxGPVbJYrkqhOWNLkzdeUffE0/sD+U2w0kJAxiswIa5MNqXfmzQHnza4yLKg84kW\n", "iApXBL6bK3chdJpeM1ybhyaxHhu08wqv66b+WOCQeebfXuc3Wny2QDP0PUuZ3jExtJdO+4LxrcSt\n", "9ZLfW3rIoDMs0nmkGMU/k7Lkl268Ffvr+LRf5rBWHB4oJDrNs/8XBku+DpnPbgnXnNdpThPHWNKG\n", "20wOJaVtqLRWIpD/VUgg3StcTzQ8H0eknZ9FOMy1c/001H97KNTzDgJ4L5WUhWurKvR7DxLytvf8\n", "5ojH6YQGzyyMeLPm9eef9j5c0n/fDNcYIW3ZL7vwLU4EPhLye9KidYESbG+vC09ng30SbGrBB9AJ\n", "tveDmga8AbNaKlqo+sIVlS7Q/SOb/K6+CMVgoVORdmhz2gCo+4IRw2XMQZcjuaPgqB/z/+dEYTG2\n", "o6E54zUTDmS61QczTu5pGbwehIDXLCWwTNIQCwJUqO81a4C7GY/oI8aEa0OQdqAheWWDds6HAtka\n", "Mj9VCg/UoLxhwOea3LMZAjbPoDWX7gZYpjVDP37Xyj0xy7UzDepNNvZCJmm/JwjvD1lzzVmxcIfi\n", "4hnCvrWsHQnlHBDm1iPZedbY4YGGRKf3mw4Ew+KzM9CB7PPIDPW8X38bea+14kE6N9VDT90C/LDg\n", "3SegA9wlSFjYJ/wWAdhjkOb3hVDmv5HJeh6cr6qF72g7tMYti0IDXUA5F9fGwOF4EGPE+3QWqSly\n", "PlLBcC6ysVIz4cdamBNDyZJ0fp42zZn5b3IOsH+D/QJsN7BFc/va72YLVuqvgW7ArJRoM35fB/V1\n", "je4faYQuI8V8JOlfiGNnlbLFo0I716GP+F68/CRO1Yk+Bk+r7aMte3qfYfBby56cF7M07l5rGo5Q\n", "d848dL/Vh6QZ7dfu83uKNWPoBDyJHPAbmUKPb3cMvIxDvM7X6VywWheZLBrSKvimlcyjqrEeG3jf\n", "vWKpx9lwg72sqnamQr3J4aLZO/k3N87EP2YFqdekpVk2accfw2a6MCmp4oYt9Ek+8Pdu1DzyFN/Q\n", "x6WSwwMNDyGHmgSrXhNNQu09bkYYpETb/TcUY/HQUG5TpwsaCnXTDR61nDff8/7MWIQPXRB5qm6E\n", "1sFlyGlhkAnwTNJAz4YOYPuR1eAsQIlwC4xC/FZzooPoFEQLM9rHJBmLRBO5J9Kmb+f5k5FgtUxJ\n", "+YviWmik6T+aNrTSZNeQvWgTs9egD7Yhi0OrpXFgu4L9DOw/uQ9htilwduq8MwfIFbXKQtZiecsg\n", "NfybuY/ocWTzb8d7KX74u9CBJ1CFulZHKv7Q9mFWfxJez9JwLVNMXDutjwml5qF8SJq7LMV/FWvG\n", "ED5p1Vz+MHR6HR2ub9Hq2PpG8KjXe3E/fRNDgNu8zt+VbWDV+/RSk4Ca1wy2TkdR0E5DWplmIPcg\n", "FOSF9/tMpLAZ89kMxM/0Hf9+funXJzUZq5HoUFJkJptMKtycnG9zeH4cBZglmnoB3mtpHMv/mTBu\n", "o+I7GfADpI0eVdRnFAiD4bcSoe5Cgy+aKCNu9d/GJ/Xd4H34PUTmM0iGAAAgAElEQVRV8LWSvlsV\n", "+AVZqMMfkXAwCDmKXFXy7FBkOkvMcU8i7X00Fc6FUy6gA88vgC95/lNI4KtEyYDoGyZ0+I1NBG6O\n", "/d6Fb3ZtdFC9hZxANQRsK7DTwR4Cm9Fgr6sKXm80Vz6IacAbMKskZgJX1G5PTi/v4yjMwdvx4wLu\n", "RSe/ljVuvvBMCPm2cENN6lgIqeF/TnqqNwlYO1sazLhOw/GvVt+p+SaVpPdN7OrVNWPotPwfgnkK\n", "mQoPogmZZEl5y4WF8gt0AJoOZc7R5PfFkGnTgOM669N3TaziZsWaQQxpL1sVOkf5s9Mq3l9g9spj\n", "kwqFvad8Pr6XbNYF750XpBqV9zd/342blJHBLFEnuPYabGDF5KsnmPihanW/C5zYwXwJY/s3Ey3E\n", "KwaPmNjd37asifcTJsJfDDnbrFtQZg9iKr8pvPN0pF1aHeGmhsf7w3OL4d6rwI1IkErCbo1GZs+E\n", "IuEr3t+JIDUBHUSrHhgOIoQsoo11GmnOfk3KATiEDvCs3gfLowPcNWRjIBo6GNyJeOxsrop73JTs\n", "HldGYdKnWOSBSgPegFklMYu7ovridDg6bUdt0Dso7MQOtOHK74vCk50sDBXqGEsKTPY0uGiTymg4\n", "kIljYsU6KsbVm2ItxI9bBJlehuSu70kIU9Pq4ozIDg1hrlZJyqANoRyd3t+iibchwqUkm91aFcuu\n", "0KdP+aa/bKU+bVDXOH/+5ZLfM/2D6EBGIO3Iz6l50zUKypwJ/fOTgjmaE9SKyvuzpbinGv7pEVrD\n", "LF1Hoan1MJMJziwl133T4LP556e2M1fCuwah7jWT4HSNwcle51EmpvgvmoDvuxsckW/Djf7Ow5H3\n", "3aPhtzeRN974UOf3SAHiY3CtOzo0XooLO8DSCHd6oOcPRJr/g8N8r3wQRKSikQB1OVqkIPHnvkB2\n", "bdq8lXYUlLcQAvJfBPyjft7xBDLjfzJXb1tOUwX19wkWOf+dtts/naYBqXRWS3zIXFF9YXoAnR6D\n", "NohX/GNcp5X3IcuHNS9dpm0IZScm0ygY/g95aO1WcP9qZF2096VEeKRSeJaMZuy/VBDaYj8ibM7D\n", "5IRQ4OvA/i30w0hqYXP4KR2eGKloykCCqiFsVtPFsnGf/t1gbxMWqJ5Vu425sZiX8Z+COVDUP08A\n", "H/d7mgiAV5riByZBtiUYFL/nGIMlrLi8BywNIryTwYMWhPQbKcUsJfPvqPA8JnPllwra22sw1sSY\n", "vly49wtWr5Vrea70pN/fviYB7jYTRcOTPq4v+/UbTIGj77Rs+Jxa+jep56khuozjkMC1XvJNI/Pe\n", "Yv7/UQjD+DXPrwJ8DTjf8xsgYuJKwY1L3nFQbv58vY0yViMQ+iJNV9uM70jzlgSqzzk5aN4jjqx9\n", "CVQMjb7JDpymuo5FbvCdDojmq18rm1UTDcLMJOkmsONckjdkl+7lg+8x4RvS16nnx/oHApku22J5\n", "q1CCnehim0f5AjoSefY8CKwRft+cXHwuBF79ASlIdQg5MxqteUXtQBMTWq7s0ciJ4EyysRR3RibZ\n", "lmI4IryJVWxrV2J9IU/Cv3i5v6IanUVJn+Y9LTv2sl3Wy3nW81W1Px5fsJEZ+GJTcOKFQzkYqVku\n", "CGbXWnF5T5jA8olQdZGJhDMT5Nmaa0yfsyyP2upWz/M2wySwJjixpQzWzb338Jbmin8vPdRMrkMM\n", "zjdpxB41RUf4ocEkgxO9H/JtT+obk6/3YQTYHuZ19SBupk2QpvQGHM/m68slwOOeH+/Prt6lOT4a\n", "Oc80jZVZ8G3MG/LH0YInbUF5Q9EB9wSEcYx4M0NavckohM7EKt9io2+yFW0TXcQiF32nM0NA6H6p\n", "ZFZPVBCsfgT2MbDrPH8A2DxkYvvtjezmSdyo+ZBtv+14fP34/nMg3NRKyCPmldykfpA2SUjRaXLr\n", "Pm7/YaSq/p2B3xNOhxSc4IC1gMkl5VVyJqDY06tQlY1MHnvlrs2HsBETw7XFaXKyJaMhwQRKPjVM\n", "1zrtRpUTYw8C4tbhX3L3LUWK1zu4hTFq2KdoY5qzrP8qlL9SeNcGHmuF/WNi87cG6VS/7yMGhyfP\n", "nUcdliwJSRNB+8+a4v5h4mVLGM3f97+7WbaMRu34q8HvLBXGJuV+f9Fgo/Ben7MQvDikUd7WSU3n\n", "CjIn/QxpS/bRfYNMGqndCtr4qAlrFa/dYwXasiStirS5t/h3eRciqO1B+KcnETv7IJ8Xa9EhV1/u\n", "/Y4iG1S7kLm86JsJ/x8NfLmDNvQgQP8RCCeVCw3FdO+Xb6NDZUcRGFpZ53LPdA2LTD974bfUN/1R\n", "yayeaMMU+AbY9dnJeDDCLyWn2AsR78rOnj8GnfbX8PwEJBCM9fxIGvDv9HN/bI1wVxfmPrrpyDOs\n", "MgkpwjxEIWfJPm77MggzM97zKyD8RjwNJ0LQkPDcbgTSwnBvkZBUpLZ+E5mXoidmqSrbx38aWdLU\n", "YT6PDmzyjn7CW9pSrcTPCqZpRrvRFLuEhOoVK9y3r5f5DrByG99axDoloOUrkOddW6YAtNkacDcN\n", "TXt3mTQr+f7ZoMHn/h9LAfaTLUe1kYv1l3jeJYLcv0waIwxWsxQDFdPOlpZR1oYkbW8SlhKv1BXD\n", "b9daqhUbZdK0JflGWrutTV6D6VxB2qLhPk9HIND+asBJ6Rg9ZNng0Pk0w4S92iBX356mcD21a294\n", "Wg/BFB5DZucRPj+6ui56ufOE/F7xO6xYxvqE0FC0AQVBwuSeCCf1z2wfYb6enIe04y1ptDv5Jpvc\n", "2zUsMl3UfHW9T/qjkg9D6uaE8fLmJos9OhCpdROswP9DgtZ6nv86Opkl3itbIS+ORTy/NMHc1Y/9\n", "MgLZ7u8kq46eigSYzaiolUPmhPvo41OHL0TD/f8rCJxS6JR2U8EzH8F5ijy/ETnNEYXmpaGWjbFW\n", "tnlliB1HI2FvyVz5x9LE6446DUnCZj6X1YdAMcuZmrqGVSDFWz1JZ+FcFqjfVFozaZIKZwb8Nds/\n", "+f541uDmkv65P3dvr0nY+JT/vk34rda+ACKfFtpvpkDTE/za6iahan1LgeVJHXlhLJ+m5O43y2KW\n", "njB5Vyb5Tb2upS3ti2Zau4km4ao2V55CoZR+jfiZ5vO/B9OUvf5tg59YKlBiaUDlXQ0WteAlaMjD\n", "8oC+XhfCfDmBJoeXgmfGAReF/Byttte/+08gOEAE6yfp34iZfm9aFPT6qd+6hkVmJvDCb/iuA93Z\n", "s0pqdaCn0NwVtUl985Fl5j4M2Ak/nSEcwZU4xgn4Igq+vLbnD0UswEt4fhNf9Obw/EIE8GSHfbOC\n", "lzcOeRY+nVsQXqUiCSlZzc9SBGLCPhrXJRC4vQcJiT8ny2q8DXBUwXPHE7QxiNAwZ16629IwOJVM\n", "TjEMyKhQ9lBf7Bcm4LaAT5MD5VPoZr+xl7+ZiScqP11bZqNfHVipyT1zUhNi+FWbY9OqyS5jCqBY\n", "c+jOGLsX9ENZKoo3aSYB6ED/bZCJMDT5LQp+iSAVBas3DD7q+RUsFXrzgb3zwlg+vW8KMXNPwW9J\n", "GxLvwkEG3zFpihKesFYwWytbYMa/HpmlJxHIOONaWS+8vmzwLQsBnk0EvmND/hKDbxrcZDlW+D7D\n", "qPp8Pi3kq2ADexCze6LpHoQ0+a2Yp4ciwtcTEZYvj5OahryGj0ZhsWZqByiaQGamUhwSx6jHIjOT\n", "e+EPeGfPCiks0NOhc1fULrVpQbKEkl9CgkvCfXKZb8bze/5gJECs4Pm9kFkkcVE+EHn8JYLbxwk8\n", "SkjoaArY9AXmWu+zE0nDYiTpccQVU+qZEspaAvh0yHedD8vLTU5JcyLM16c9PwaZOlYK936C+uDQ\n", "Q6ixP8eNKtm8ljNtuldaccDocpOcL+DHIe1lxHksh0D4K+XuLXCzf9oEJsZSwtSYWo6fOBn4foX7\n", "Pho2i73bGJecye5V78PG/Uep5jCvAUhCDyXl5IWafP+Mzt3TaxJW80JXpj8tFYqi9ulCH5OFDP5Z\n", "tpRYc8HKTASf+Wu9lmqBEqFqV2/bfX6tGWYr4RObYqmQs3qluZIdu1sMDsqNwSomT8GnvQ8wYb92\n", "Dn2c0Up2TbBCJvWopZ6bCtp+ZE6OAPSjaZ0qYAJwJAozlucymw7cj8yp69MFnFR/JoJg1Qv2GNgZ\n", "YOeATQL7I9jkkskWBSu6qPnqs3cd6M7+IKeiBbrH/7britqPbV+EgHPyj3WpkP8tYkhP6AZ2RQzD\n", "CePwVoicMDFNfhUJTIlGZU8EVE286CaQO7n69eV8Iz6HNJadIc3BzbRAQooEv1260DeNGKNXxgHa\n", "yOMob/fflqyH4TrIQylsVP802MPfc6hlzRojTaDgvFmp2CSHTArfjxsLEuR2B/YM14ahuGhWvAl/\n", "wsteOGyYMRXHNexCXyd4qzeB5Vt4rkDrsYWJsfu9gvZn+u+p9NlEy3Wp/7aN1Zu4EuHqEyZG8nzZ\n", "sX+mhWu/9WtjTWa95HomKHNO0I3g9ckm+oGi+pLUa6lAUmYKzKeXLAtQz8TQs1TgaoTZ+qHBAgbH\n", "GewT3ml3Cx6bpXPF185nsvVisLnJQ/BxLzPp1zgOZjn6hY43SrLYyWEI79pQcEEYsmg1+DYtehei\n", "dXgvBO34V31/8AwKEr09MwmGtoV3G+fr0Bh/zzVx5cPhYP8EuxrsUbDnWxCIaKD5eo9yrZfRf174\n", "A975H9REiUfCa2Bb5z6OmcH9s433G0+WqfhMQiBlJPSsSKoB2x4JV4mqdkVkepzP8/v5M6M9fyoK\n", "TzESeWTtiLxVDkIA98g19S4ya27faLEjF7TU72+F0qBlLhQfx8S8egTObRR+P8Pb7hvVS75Zzpeb\n", "D0Uhd/Iak+YmOYT1uh/YIHf9YOD/9HyRYPWuwZJe/iVWD5JuT7CiCX7OF8qLvexngTkrlluA0ynS\n", "zMRU6z+rN3H9zK8nXmpRy5UE6f63lQddzgtW71mKEfp+uG+KRdb9+veoqi2K5SWCVRXw+mRLYy1i\n", "wO+9Pws8vIoEtekmjNmbJlD+H00g96i1KxesEM5qRxS82OpTET5uA8t+B/mx7Ny0gw6FTYlryUIR\n", "TiIQ9VasZy50IDsLgezzffASoiLZiy5BMfoqoUPd+iG/OFrjl0LQkgURJGIvtDcMSub7Ec0nqpnv\n", "p/umfXMhoob4FGDDwH4L9m2wz4EdCHZBk7JnC1YzeaKJR8L9iFJhVPajeZ824/fNbMk/nugVdz5Z\n", "0+M9ZMOw7IQwP4kgNgKFn0gwCFug09luSItxKuJf+QtZEtJp6AR3GCGwKTplxkVviH+ITQUrWmOs\n", "zruSDyHVym2MhMXkHRcjY3571OS6voKXN8Y3iB8b/MCnzhMms0jiRRZP6o1NcgiTcQcyQUSSwr0R\n", "kHgOCk2BSbrL5Ip/k4nHyCrV26BfTwYerXDfaOA1r+PHFe5vEKS5UYpajim5387x6/uHa42A6UXl\n", "Dgrl/sCvLWqpMDbF8iZdCjVvVfFNmfKssTD2jsHR4d6aGXCVXN+OTOd/UTl3ej1FJuvM95IPLj4C\n", "BQF/NtzzBvIkPTj3nVkatLyo3zPCqSFYQqvRBzYFNgr5+ZuVgQ5q58V5WKGeochs903/Nqfn3nUa\n", "imN4JNLqzzQ4Kf/O4mF6FHBJyI9BGLoJiBl+CDrYrUk2MkTk3dsCZLV5DOwvYD8FuwHsYbDfgB0M\n", "dgLSZp2PBCjvqyP9ezkOhxDcBvYU2CNgZzZZAGabAmfyRAtA9V6wx8FGp4O6KjMB5X4/9NHypKr1\n", "QShsRCJwDEbaviSqew8SupYLzw9B2p7LkdnxdGphQzKL0rcRueMvCB5x/hGuGfJ7ULBp0yEAOlfW\n", "XDiQ3RfUhxGgPGxUW4VN83aDtQumzRomvEteY2LWTHOEY+RCfl0UUHUZz7uGZOeSKXu41QPYWwOv\n", "5/q2zvxbcu8qpFrKnZvc22TzP9QUnqXotyKTnVnqHXlMybvngemF/WPa8A8K8+VqK2Ddz4PoC7Bi\n", "E0N5TVn8H0bM61YsjD1uwiwlwt+8yXNFoUaa9K1ZOdYsI1id5+XNj4SKaOZ/Fml3R4X1wPvgIwa/\n", "alBHXpispWaa5R6yGMSNyWl1C55ZAvhhyI+iiTnO61kRcVtdSxrhIEnTgYcQvnQ9WiQS7YN1OppA\n", "e9BhKDkoDgWmoLV4jP++MxIUrwp99FkkdM6JhNwTfN2ZiDjMfuX9sZO/8xOALQT2JyRAXQR2JzLj\n", "vQL2d6ScCFjk65Fn+fWxP49ssv/GNBu8PpMn2vBI2C0d1Bgp/AMfbLLN/htEwNP4B3lxyI8G7vb/\n", "l/QFbQd/7hgkZOV5W+5F3oYJGH9bshHfv5dbJK9EVA++oC9kcGsYsn9ZSsRo1iqnk9exGzVBZphp\n", "w42ahV6DfxRMl7c8FWlMqpvkkFn1DrKxytbR83NasXbjnVz+WaNiwOgWxr+M3+tQr2caDQQymm7+\n", "vzG4seS3MsHqJL/+1dz1MmB6kjLak9uyc3KQVWGIpzB0zz2Waq6aa1GLy3jcpA1NgOVjrFn4H7qi\n", "DcT8ez2XrCfbPcBnyGq6B6MQK0tToxCoJEw27ZPce60PXNlkXg5DTj6JoDEc2LLCfF4UaYUvBl7M\n", "tcWA51DUhu0YYJwUOsDOGfJTCAzvCC5wGDLlDfH14lKEp13Rr1+MvMx3RsLTIcjCcBiiP/kYwudu\n", "itbsHnT4TQJdj6WGc0zTSGTSm+RC0KD0t4cRNOUpkEJjd/+tv7zwW+7ngRzkD2KKC0/eI2E60lDF\n", "a68ya2Cu+rmPh5DVXs2LTKhzIUFlEQR43xTRH0RM1AyE0fosgQUc0VP8IOQvTBfBMSYX7uPC0H3a\n", "pG1I8oeb8Cm1hf1QYFycFyVzZVTavsQEeJTJtbwMrxNT1JhUN8n5gnYdATfi7fky8ry0VLtRph24\n", "zSSAVRcmS9qyCqknaCmGzdv3R7/+F8rjMna4+RcJSV/x304qeK5MGMtoTxLT3ifJmq6T8WoIAaA0\n", "dE+GUqBhecVlFKaGaw1NeaYazVMMxZ2L+esRfjIRWEaRpSyZL7T/xvo+yAtOQ0xM9w01y48AvyGr\n", "FS/6RtcnGw/0eJrg/JD2Zgfg7PRbyqTXkPCxF20EXG7x2xpMFkC/NrBDyP+O7Lp3OcJBLYNocDZA\n", "eK/LkIPSeOR49CQK1j4aaaV2AT4ZyvkowdmphfZWDUGTmasUQG+SfXVm8MKve8/+qGRWSjTwSLgc\n", "2YPnBVsdbBsUtia5fzuwK3wSvMPAUu5/kBM6WS6HToA/Qaeh63zBiBiGt3zB2BHYJFdGDxLKfFM4\n", "1uCsMJyPm1zlk/wkk3BT20AeJJis0Gl8lZD/BqnHpG9UCRHoEwanGJxZYcOKwsARSd0tq7LR6fvb\n", "6GQ9jpp2Y06T6TG/SW0TN7SO5qUv4lVJPMejU7QBpzcos4PNv8isd5T/dnrBb3nBqty0h7xpDXl5\n", "tRNap1GYkI197JoJ1QdQb4JqKtyF50t4psrSMxYE8CS94/XVeXoijMwhTfrg19TzNpkCVJe16XaD\n", "RywIu/eQo2BB2vHIAXcOTeKZ+nqzAYp9+mfqIQlvI+HxCCSstA3x8PbFQ+WCwH4hPwH4ecifjUxk\n", "i6I18WrkHb05EoY2QhQwRyCt0lCEd/szIaQU0uh/LOS7HkoNmQcfx/e8lZAJMBnAx+r3w6eQUFUI\n", "vXkVbKLfO7N54fd5BbNaooFgdXbdItA4zQO2gk+OgMF6HOGBNvWPdJ5OPtRZOaHTWgRXbohs/Ecj\n", "wSf291SE2VoZ8c0EzcmffGNNALkzLMtubSYA+a0WtEbTgDNC3esSTA1IPb6//79a2o7EfLWZCU+S\n", "bNbb+qZQN60s3dgTQHtrqmwkRP4W4dDm8WtzU2e66n4QZtrDsG1GuqluW1Jui5v/FEsFoasKfr/f\n", "5N2W94aMJq7GgYd9MzMkxCzQbp+FMRuJTDGVPFXRpvl/pBqzO3wNaRnPScOwPkmaavANSznQatqa\n", "U8jimUYCO8V3qzBnCjRvRWMdNY/HmsLkZKlJyJqbm1KyeN9P9HUk76Fs6PB2NymWaGju+WjqHEU4\n", "1CGi5BNDflmykIVlkFA5HwKC7428D9dGZtRrgc/79e8iguKFEX7p8FDOlsDGIf9nsjQt61HRA7eD\n", "Obw2wUsaN/W2GoKGBtCbmdULv18qmZUSTcjJ3gT7G9h5YZAPBpsbbFOwVZHk3VM/8I3SdGSnvxup\n", "ty/yj/ogpJJeE7m6fqAI4/pgbPYhiydaDoFE83w5f0VClm+U95pMgckwnmawTNl3b0U4J6QRikLe\n", "MsABIf+XtD4z4YC+Fsrc3Mo1WJnNvDDwc4W++SRZVvZFkfB3LE0CqSJvwmNI8RKVNTHUbdBFQo1Z\n", "AYnnF/3/TDzExmWXjdcUywKe2zJxvVfWP96WIaRmoS91YS635KmKMEr3+LUZSDvZNmEuhZitGL/w\n", "IMvhx95DnmF1MUCRcPFjKmhBKBTEy2Ih/sDg283G7Wbg1FB+4ZxFHrz7oIgVr+b62BB+80yEK4oe\n", "bwuS1SB9BHgq5Bf2uTLa65gbYS9X8rJWAtbw7/N7wGlI07QDClO2FzKlT0SC+6DQp1HzthkBl4ig\n", "DlGoGd2s77swZ9clCK2IaX4r/7+TEDRvUrLfJinxwh9dP27vMQAY5n6tbFZJVACv7+8Dm9wTsVfv\n", "gq0F9g+wh8B+B3YM2LrpZHgORWp/Erkk5ydLo/QKYjO/CWkoTvcFbw8EPPxQaMGQAJB45fWg09N5\n", "ZL2TTADj8y3Lk/OGwQMNvvvWOZ18w3ATwhMGz5s4gJIyzzWRNubrqgMFd4zZQBq7E8iecHvQqfds\n", "sif8MT5nfghcQGscXzmt0mv+//Ml/ZrRNKyGNkUDbqVASKDh5p/0XcZk91S2PaWfr6eo5WIVGgiU\n", "6JBjKF5bZe60BnOlFS3fC6RalecIh4sO21GA2Yps7bV0HyEosT97OO2F6soJy5GN/iaDn4d+eMXq\n", "nS0eMTkgZPCI8QA0DGkB50bCzLkUC1IvowPsocADuT45BR2k5keHjk2QYLsTaWDwTRBx7yi03m7j\n", "+X2QQLWi338ogjSM8fIWoEKAeoSD2jTkD6SfY8Ei68DXQ34iOchFWAeeoMmemU/Bi8+Gh+uvIU9C\n", "Qx738ZlesGmehqfP9ylnVWHf9HeFs0KiifTdS8pfVYVy/yWwPanj2Yj4nZHoJLQOIkc7FLnFnu8L\n", "0VMIw5LnSGmU3iXVgv0BYZVOQBvE9swCWjCy4SVG+bsN84Xs6mx/DDN5YV1tjUHl7XE6eRsu0rNt\n", "g4K7wr+CCES/lLt2MAL8JxtDIkTsjgT80I7KnlidgKDPQ3iihI36W6Hc2L4S0HepZqcdLVdDwCva\n", "FF/yextSRVQcn4ptfNiCedh8TnfV3OF9fQD1oafe9/pWzd2bjMvmwPgW6yow7z4bxvQfJi/H2Aev\n", "Guwd8v8w2NL/r82BF5EgtCHSCL1OvYPBW97vRyIhaFFg+9C2Ncma/jfFgyr7e6+A+Pc2RJimscij\n", "+RhCLFEE+m5KQYJgDpEH8DDgyJBfmxYiFXQw/pEPbyLwy5BfkEBpU/Bsndb1CbAZYC+HQfwf2C9C\n", "/sX6/dB6/LfPId6rYzz/VIPFpL/IQAvfvb8rnFUSBV4KSZrmA1qEw/oT2N5gJ4FdCnY32H9JNVph\n", "MpwQ6loW+GyFNg1Gp56VkI19b+QFdg7yBrkFqbTfyi0qzdJUZD67CanKz6ReCzaWmVgLhjwJjw35\n", "YdTA64vm3ncek9fRHVbvPdYep5PX2QEuqL06S9oxRy6/NcLmbE09nse1bKNMAtItoX0Ng0Q38dwr\n", "IphMykyFSAS+TcDCBxW0L9Ga7UoTk6a3q1UtV1PAK9qsDWHWOg2tUnGO3GbZYMUYXTR5ILzWbkgb\n", "lZT/FtLwrERWq7kacBVZsHnLVDLUCeLvGCzt5ZVRa7xtCv6cYCKnG/zS51ct9uCf0EEy9tUM4B/I\n", "ySQJO/W70JblgKNz82Yi0kxtEK5/jiyNy5oEbFML775Qbp4eBnw75BdoNg+7NO7zhf8XBR4P+Tkp\n", "8ARE+874kB+B9oeHITXPJfvhi2ATEFfVc4gt/Tj/7QJEt3Cz54eEMXsC7HUkmDVbPPuTDLSwH/u7\n", "wlklxQU675HQSLA6tUR4mQvhrwL26jB0KloSCS67hro3pI2gtbn2J1qwdclqwS70heg+2tOCvYCE\n", "sN8gXMUJZLVgizETaMGQl4xrkMaYGKVPM1gx904fMQF0n7S8aajNem/X861oTIZ0VGeT9vzYN5cc\n", "kH2Y1Qcm3tLg4wZ/y7U1g4+6PcyvBhviglZPRJqkrKkVmSFzbWmolWqIAaNFLVeT/vtI+EY+1oXx\n", "aKLle9/nY+JhupJJY9MdwRthgb5Alo/pZUTyOV/u3vH1/ViYSvuRrJbLBeZIczLdUlPg4+H66ybT\n", "YJJ/1uBAU2iiXa3AS9EQDcT3EcfdYsA6Be2ZiyzH3iYE71S0Xh4Y8nPQBpYNYTD3ytXzpdgv3f7W\n", "S/p+jaQuJDg9h4TqCaR0McOBL4fnRgJ35Prs4ZCfE8e1fgQJSoANBvs+2Jpgn0QhaHYBWyNM8PvJ\n", "aqEiCL1NM2Kfk4EW9u1AVDqrpKIFeg4ytt06U+BfwX4MdizYTmAfpSGHR5KmI03TZLQRnoZiL63k\n", "E39vYI8+esdEC7YyWS3YmShQ6R3ITPC/Ju+QT68gAexmFBbhu2hB351+0IL5ojE5bU9CENpr8KCJ\n", "t2qhXJtrYN2bOqh3bNpXVTQmtTr7hH8FAWYd3D/G3/tzlg2xc6SlxJIrWn3cNrMcPup26hjn8+l2\n", "K9dapYIVGQ0TBosbPJbrr2rM+AXv3ojaoJKmBbFKG3BFl+ZkAy3f3w3W9Hb2mLi33rNOzNOh7kVI\n", "zWRJeU8gM2Cd95iPS4Hmu1BANf/WI9t8wmmWo4UYZtmA1WZpYOp5w7Xn/fokg0MsF/8wpieRiXuh\n", "0Mcx9NbywPEhvw5wVsjPQxt8Tf5sNKMtB/wo5D9CBStEl7fRps4AACAASURBVL7xHhzIjpOUIuqF\n", "HsQbNg45XiQwgKHIqzoRuAYjJ6DI0L4ywlhNwMOJoQPaXsA1+D54ONgipAqD74CdDHYv2Ns01j4F\n", "rdM0mHnJQAv7fCAqndVSyQL9HlSTsnsRzuoz6bN/QWaq26gn2ytKbyDczMXoZPkb4CtIvVxIjNdH\n", "/ZDXgh2GvJMuRm7L9/n75PENjdK7CBB8l7/XT/wj70gLRs3kMpel2pZRlgo6U02n5QutIITGdGRW\n", "3ZUKQNOCusdTJ4iWESG2Jiy00ZaA53nCpAXYx7J0E783+ISlQYVjiJ2YMniwh+mMwTsxBXr7ljKY\n", "2387oeC51pnxQx+05OkYntvA63uTLgTMpaGW76+Wam4WNgVCjr+3HSR7JaS5jdxMt6ANeFDu3gXx\n", "kElkiDwrAezNnynwdhxi6QGi6N2TwNSjDS43ON5Etttj2XJGGexg8vAdmVzfCKc9CWv1bSE/P7BN\n", "F8ZuMCGcFMKnPhbyo8gFaO+wvk3ICm5nkSVDfQ4JPJ/1ttyOBKbv+vpzLNkYfksjr9/h4dpGZL2s\n", "T0ShafZHwti+yBT6KjoQb4gEqxdA2qh/gD1DGki5Xa0TDaA3MU2h/8lAC8dnoCqeFVNugW7JvXQK\n", "5VI2sllP8MXuKISZ+h06UUY38KL0Ntrg7kAUA4ciV95lGSCTHPVasH1ItWCTkNv4k7SnBXsCEeZd\n", "TL0W7KO4FoyMyeU1qw8f0mP14UjmS/6PguFUJARvRgukekjbeXuFd+oz/hXq8DwTTVxAEVd2p0mD\n", "97pltVJ7mnA+cRrHYMQYNcBz2+D1XPuuDWNzR8GzWf6iPp7Dg0g1ad/oUpkNBKvpJq/R7axeo2PW\n", "YqijHgQujyznMxAYvREYeWd0WAq8bM1M2hmB19CGb/XCWK+lWtHk2gyfe6dbKlTHNNhgPYO9DP5s\n", "MpPeE/viOhS1oesmNl/D9ifV4oxAjkAxPmrpWJA78CLA/LCQ/xFZb8YXgLEhfzVZuoUDkMluf6RJ\n", "WtDr2I80TuhostEiNifLpv41T2v4vZsj3OWtyHS5rtcbhfA3kdXhK8DqlNAR3ef3t7sf0gB6Ywws\n", "GWjh+A5UxR+GRD9I2f6BL4ZOF/shFe+vkdbrlfrFKJNmIBzVfUjQ+DIioVt9ICdl7v1GAkuR1YKd\n", "DPwMCZePIAqFPBtyo/QeNeFoA4N9DU40nYS3CAt8ckre2XIu3FO9HXflyv0XordYmYoLOF0wR3XQ\n", "tzk8z1OmGIXJ1PybKbTP9eHaPt7Gnaw+xIuFTS16q7VNb1CAN/qi/764yd0+X0b7zgUt9t0+Xs9/\n", "aUNrWVJmE1PgVCsOP1TNFIg0GHuiIMDJM9NQHLslC+4fQYidF65Pqj6u7/p3FefD0iXPJSa/zUya\n", "p7El32+PScC8z+frpy01Wdfq6frGig60o8NY/QA3kyKhJmqQdiQrGJ1HFhj+HIE6BR3O5gn5XcjG\n", "9JuraGyRQLWr/z8/0lAlgtRWZPFgByBurLkQDmp1ZPo8iRRTtTASEFdFgPkVkDD1WByDYZ5yY3Od\n", "P1+HL54Btonf1+5+SAn0ZqDJQAvnykBWPqsnZgIp2yfj6ui0+WUUauNWFDakmTDyqrfpKsTdsh8S\n", "4BYnZyYY6ES5FuyH3v5bEC1FPtRHSdrfJDj0mgSMhNiydhpOFthlkKD3bK6Mp9GmtFjF9rdljuqg\n", "v5ps4pNMnEBX565f4u83yoo3+aR/Dkn6wbVWrdEblLfvPYO1/L71CtrQOd6oQt+NIqWB6CpOhg4p\n", "KkrKHONzMaGEMGRe/xo5/qncc4P8G4rEsj3UtORlbZxqKb9Uryn+YjIfhubmwasGV5oON0U4qUVM\n", "AtzPfWyrB6Zuc1yH+/9j0cFtec/vgsxcyXd/PoG4FgkeS4X898myz29DVtCqDHjHmd2Rl963cI9x\n", "X+fOBhb3/A7AV8NzSyEBaRdgRb82HDknber5hZE2bFUUN3EuJHzvg0x/mT3sqOZ72CMgb77TUJi3\n", "w8BWRqHelvX7OtkPGcDDaOUxG+gGzOqJmVjKRifYZdDJ5lBkKrwJCR9v1i9ymfQuMrv9EQHqj0KY\n", "pwn0caiELrz3OL3DMF/Uzzadqj9nsLEJv9GUBf2wXJkJCek5uQ++F4WT2I8QLHWgE0299tY3xTOM\n", "104yuCj0wTSTqSYBk8e4ho/HBa9leoPG7XvWUvzZzxqNUZ/w1/jmZshk3dUDBp1RcuQhBIsj54Q4\n", "Hx9F2JjhJfUfQzAPlc+bMoHcTNrMP+WuJXNjqEn7e5TJEaJmNvaUjOv8JgLdIuH9foPd8s823FgR\n", "3jQKiJ9Fpq4E1H4BEjjW9fxt/nsi1JxIwNGhkDDRFNeu00A0B473NXRhz2/m63HCl7UuAoiP8fz8\n", "aP1eDddS+fVzcK9xtMbfAUzw/HDgCgSLOJLU8+/jBMLgUNZ1gC1DqmW6F/FOvYI84M8E24KM09YM\n", "wNYGu8Xvn4qwxN0MQUM/H0ZbGteBbsCHJfEBkLJz7e1BdvptERbjRIRb+ivV2OD/5YvTZYhyYQ//\n", "eOcf6I+AptqaspTRhkTg58lk1foJCekVZOOMvePXtmeAKSdoKljl098NVjN40bKC1UUGv/V78kGO\n", "awLOwrRIb9C8fb824bymFvzWd4IVElYSvqY6d/0u1dERialvtJeS1Uj/AeFlisxJQ8P/Ewg4nIJ7\n", "xzWfNw8Y/M//n2EK1/QFqwebJ4LW+iah/U6Dl0xYv2aCeALk5xGfX3vjmhtv54Vkg6JfjWL/ren5\n", "o4Hv4OBs77NRrY5Vk3EcRJbkcwmyQPoNgd/jjOnI7PZ94HLPj/J3mw9YMDx3IEFT6u+6XVjbXkJa\n", "ylF+bQcv+1fhmYVxARpRRsT1a2UClm4Ecqy6AOwBsJ+DfRNsHNjp/v+tYF8FGxnGthFQvUEImseZ\n", "CffDlsd+oBvwYUvMxFJ2xfYvgcJVjEIeRUcgYeFHwA0Is1UQlT6TpiF33knoRP15YAukuh7aT+/R\n", "FZOLj+deuKDk+WgiGIM8Z/5IFvT+ivfZ2gMxD2hLuHzXUuFylMGbuU0+0Zwk4YDq+KgqHy7aa59Z\n", "X5sCEUGuAVf34di0Q2I6Fpmb/hT6doZ/Y6s1qGt5AidRhbZVEMh3M3lubmuiSMh//ysaHGNwnaU4\n", "vSdNZkEzOZPk+eQGmzTMmbLuIBXE90Ocf0ksveWQ5/BeYb3dBli9i+M0jKz5b3GyxM4fA/4Q8ot6\n", "mxJM1FBv8yVkhdtNgU+H/PFkWdevJ3CmIXLfBYCNwrezKPCk5xPnp2U9PyHXzg2RZ2jCWbU4wrM+\n", "Cwq1dg3YCv73p2D/pD6cjJENQ1MFqN4L9lhWwBoQeoSuf8MD3YDZ6YOdkJvudiG/FTpRLeELxIEI\n", "UH8looRoxvo+wz/o3yNqhS/6R74KXQwkShdNLrlyl0DefkWagcUQZuXp3Du/iGgylu3nsetAuFzE\n", "4IehbxLNSULFUC7gUPFw0Vn7ug9eRzEWDWkex/fx2FQlMb0BmfEfDdemogPL4iVl1w4wPhaVIQj+\n", "3YSYl2ZyIviViah0yYJvejGTeRATDUKRee8oE7dZkv+lwTVWEJuwJoijQ8sSoW0H42Se3s5fksVU\n", "tsQGjzQ5a4f8wsD5uX68IeTHEgQivzYYaewTgW+4t2vzcM/+wDkhfwKwU8hfi5vyPL8qEpa+jrRi\n", "IxDtzO88vxTCXiV1rgRcEp4fh8yMWyEBdHl/t4eRgHoj0lq9D9j/A3ufYs6p3lw+cE+9Dx8ceoSu\n", "f78D3YDZadZK/lGvHvKHkGUY7kEu0GsiHqivkeIbXqhflOvS/5DXyiXIm2UfBLpchBbxLvRB3Ljk\n", "HcP/WwP75n/3heu7ZAHFBtyLtICl5pgujlUHwuVRJmxV1JxMtJQ8tHMBp7P2dffk62OWhHc5pR+/\n", "pzIt30UISxMDCP8DCe7NsClXtNo/FPJPreopb+IbY7CjwTkmTVRvmA87VxjHJGUDKbsAsG1o0w7A\n", "ySE/p68tVc3O8wOfCs/PQyD/RSa4X+fK37RCX/2ULP/TucCPQ/5TZAOg/4ysoLUP0mQlhJ1zIqeh\n", "X3obF/H/v4yEqvHApeH50YhjbThZHNjXvO6DkIbrIQT1uNr77WCkhRvt/W3DwR4BuxbsHLAjwDZC\n", "bOkLgJ1bMHABL/UIfDDoEbr+3Q50A2anWTshlXTEPpyZW8yG5O6fI1lAkYDxY+C3yOsm4pWK0tvI\n", "C+23Xs/hXs7yFIB16YO4cQV1LEVWbf8Rsnw1g5Fm70KyMfCmo5NqWySkLbSvDeFyUMFGtY6lQlX3\n", "BJz22tf9k6+PgyFm8q5pTluoP9HyTUBkkNG55BHkyVWI2/M511QgaFD3PMij1qRBymuRhpo4tk42\n", "uMvEJ5Ufm2Q+7N5gDPNp76SO87wdE4AjGrQzfM9jDI4wAeWT8h7ydtTm5iNkBZLBVNBmIa1QDPB+\n", "JfCTkP8CWfb2A8lqoL4FbBbySyCamyWRUDMPOmjegbRN8yDM3PpIyBoOrFXQrjWRB/gQb+MkBLO4\n", "2ufOf72Ok/1d1/Cy10H0EEehQ+79ZCk5StNXGgtWyzOTOm71+fc60A2YnT5cCanvx4T8NcAmIT+O\n", "8hhvg9BpbQPk2XSSLxp3o3hmjRaBXqQRewCdEI9Hm+XGyOwY7u2eC3fBO/w4vm/utxHepmvJxmic\n", "RhMSUtpnD29VuAxptMlNfgFLua66K+C00b6+oCyZkxptBPsN0HezJtI0FUUtaGji8g308y3WtyTi\n", "Pfo1hSTECV/UopaN4ZdPmflgWe1jr2XJTp8zCWjJczVOqghCXyCZ3z7nTyNlHPdNfFkvq9dEeBuj\n", "CPyz5TmKNFtHhfwksrHx9gQODvmTgWNCfiOyYXOGI4/qBFc6DPgFEmrWQuvcSuQEeCQMxbVzF6Rl\n", "Wg8JU1cCOyEt+CgUbml1xK23C6LcuAL4OzqoxoNcaZoPbGMENj8ZeQTeBvY82PTcgD+RfTbx8P1A\n", "OW515Xsd6AbMTh/u5AtCBG7eQhZPsCIVOV+Q0LYqUncf55vNXb6QNAsmPRUJZxF4/yY6KXYN8Frw\n", "7ldSoJHyxfwwstgZQ6afGgkpacy1qbl3aQVLUhXP4wvjaBMvUbKhvmp9SdDYQvs6Fn4pEFCREG5I\n", "KK/Mrt+F9x6EPEjvKJ6zpX0wLzI/VaY98Wc+7fPmb/V19ZjMeJcZ/MfHvIr3Xk3g/Ss1pvdE+/i6\n", "wRKWYq7eNwnoT0fB5zmynnVPkCXSPBwJviFEVRWzcYalfy2yONHlgMdD/idkPer2JMu6vgvSOCe4\n", "tRHoEJeQh/Z4GfvhmiqkRTyABoG7EX41arYORaSk30IH0BvRGvEEglxM8vF/FcX/bKbhT77pv6G4\n", "qT9EmNbPIEH+F9BeGJoxYT42+rZm1TTgDZidZqd8InsivZXsKW3rdjY35IGzFDolHozwTVf7AtSM\n", "NPQ9BDi/EREDHgN8EphIBy79SLCK2IrRwEcL7lsWgdufLVgUOxI2KBbM8nUkYOGqAk6f4CXow5Nv\n", "ST9M9c0l0dhs3E/zf05kPnoytMUB46OtPC5fRmu3Jw0EK2Ry3xRRDtxLvSbsNaSt8rBLRxbso0Wh\n", "oEoB9nMj7aN/a4kwtr3BC+E9xlugUngY8U1VCdPTwNGh17JatXdMFBBHJPVcioDfybpzEhKUEvD3\n", "AejAl5CDLo3oZCIB6EnJO3p+PsQTdXS45+PAcnGd8z4Z4fm1kOC0G9Jqfd7n9guI7uYZtB5OQ3i6\n", "Zt7XhryPH0Na8O97mz7p31LDIPd0EJbtOjL4qVlSK9VwPg50A2an2alq8g3nV2EBnAPYp4XnC09M\n", "fn1+RH2wByLhuwhpu5qFBTLEYn0H4uw6BW1q6+Dxulpo35rAj5q0f20k3OU0cGuZyDJfDxttLQBu\n", "naBDIRi5mmBGuYDzUx+f8X08D7p28m2hH17K90MfvNd8yCMs8sQ9Ry2cSCOc2RkG37AyExfSfq2O\n", "AM+/R3jE+H7vIlzP13weDqYS5UWvwb0m7rIYtqZ2IHmCgAdCZvibs/cNrzTvmsyHXDuPtiz7+8oG\n", "b1tWEH0oqesdpLVZwMv7GKKNWTqUfxRZTdmcCD8a8ZOHAN8M+XG+BmwYxvdA4Pue3xiFHnsexdqb\n", "jBwk3kZapyrB6l8kpa45zduwDcKjdczLlXwbrXj3be3XYhDlvvxuZsY04A2YnWandhPCW0SvoEUI\n", "WIdwvSNzGVLtr4jMMkcjlfl1vhg3MzG+jQSb3yAX+EOQm/MyNCEJ9bp2LrjugsAiBltZNlj0EJPJ\n", "5mrLmVSiSj4H8i3TgJQLZl5OQwHHN5Wuki52ef406Ydf58eyrzRxyyBOs0hF8iDSXKyZti8vVL0U\n", "/v+3iVcsY+L6hG/kV1B8QHjC3ynWW/suqMRZNc7grCDA7G8i+qzNyRUJjOfhnTvSPiJN1lz+v7dz\n", "eGjXGaF/7jLxYj3j+UtNQuADFgS644H5Q/l1HsaIrfxA0lh8GyGB6Kvhe1gBeMDzyyLm9D8gk+V5\n", "SAv5EtVIlmcgwfpuH8OTkAlycy+7rl/78hup4t03EbGrJ7+FcZ2lTX91/TbQDZidmm9Qs1Plflyc\n", "oMHyhS+HUeoONodCTccQqw/R0XThfNEX3vOQNmFnJAjOjdyoFwt1ruMpt9G+btJWrZErfy6DXSwE\n", "lV7Vy6noafectQtE9zn9NPDlmXXeN+6HXoM1/d33t4I4hh2328dyElnNxLU+bxOtbImJ618Gq5iY\n", "zZNr/zW4wurJNWtpCnKC+Bza8Jt9F5PT38rmyD8tCw5PUjX2+7K+RBjCCAG4kiz28gzSOH4uWA0L\n", "9e9q8Gf//zFTqKp/NW2nl7Wv/78Ciq36e88vgagQ7iINWHwK0sJ9AeGo3vJ5XyUm6XvocHYrMjl/\n", "AxGabuh19QtZcoV5unC+7XOQCWFjIE3Va7kODh6AfRJeamZNA96AD3OiC8Dj2am0b8ei8AiWaiPO\n", "NnHrmFXVyjQouxWNz9O+IH8VYTf+iE6izVT9ryOX8MuBb6OYg74hFmFezOB5g1MNJhSVdx/i/rHq\n", "3FAZDUhLcxLn4pkZ5z1NObImebtGmrBEmX54s912IxPbTijOYNxgLwFWyN2bM3HdZVkvuqkGNxoc\n", "Zwo3VBQyhmsQVmdpUkxPK3M3RwZaJTVnv0emtBi776vAyiH/CwKmDWHBtgj5H5AGEu6hpnXLt3OG\n", "weSQf99E+dBrCjJe66ceJMw8jvjBEqLNg5F59MvIo/clJAzlTalF6W1kUrwFhQP7MtJCroOElZkq\n", "kH3BGI1AmNZ1ARsMthAKsJy842Ckpbq/ZDLMFqxmp/7r9AJtx4eF36Mf+7hAG/G8waPhu/+Op9a0\n", "MsVlF6XGGh8EUF3WF6/DED/RdciDqglD/RDTaXsjg8MNvm9iqn7U4C3fOB40uZvPX/D8RpY1JTVK\n", "XSH7PBaZpvrFu69CexqAnd8xWMrbck5RP1RqN1ltzAhkBn4m3P8qcs1fsKSNOVPcN0zCVdKe/XL1\n", "DzNYzxR3rxb+ZWSuzHbmbkk/VZ8vCDC9UshfQyDORabQfUL+a8DWIb8aaXDiZaNQ4n14vuo80mBx\n", "y+KrtjEJVO/7d3KZKTzTnkk7b0baop+hg8zzVAOGT0Ug/ztQXNRve7s/RgPamJklIeFxG1LT5kEI\n", "xH+u529GDgzX+LvauWB3oODL06hnXo9ptilwduq/Dg8nxjHIlTVvsz6KjLvqLMVI2099XJGx+2UT\n", "NiWjjTg2lFN3yqpedpIyZU+iumajB1gIcdTsjbwCr6qw2BucnmvDdBOJY/6+HlM8t8ssG/cvnzqP\n", "v+cb+nNp37WH6+rS/GgCyv6ut2EFy5JdJv0Qw7IUtnsD6jVyUTv5d4S5aWYmW5mMYJVPl5nMfkea\n", "NFdxDOtNcZ3N3VFNnnnExLI+Jc73GKblAuDEkD8E2MH/H4YoDhb0/N5ktVmTyZoF783lj0Eed/5u\n", "95oOF08abGbSVB9vsIcJl7iglWj38ullpJ36AxK2/g9pjTdBmt85cS/AmSX53I70NdvhmkBEQ/Ob\n", "ZFyQwHQRaUzB3ZDX9J5JWaGcn0J71AvMBq/PTn3e4RW9LJ5j1oyh1E993EmMuZ+Fcn5Llrx0PLWT\n", "cVtl18azHaGBjAbjfyaN1CSTILCtKU7beJPmKt+GqF0ZarCpZfFgIw0+Y9l4bYXPt6XSJ6MpebZB\n", "X7WP62qvH/P1vxTe9foG/TCtUbubpUrjj5wx3OTUuSmuw+/CYGlLhauTDb4e7vuswadjHzwM7OL1\n", "ro9MkeM8fxYhZBMSNGPg8tOiwII0QMNyfTMKeb7tgSgEvoMoEKyi0JSkN1zYuAF5/k1GgtMfECv5\n", "KUjwm6eVOdaHa9ucZMPUfBJY3//fGMEGvuP5cz095Pk9EMXGtz2fMLQ3pa+hA+oFZpHAyi2N00A3\n", "4MOUWp2cz/Hh5gJps48ruIgXpfrNyMuKJofJ1ECpT5jAse+2UPYw6zA8Tgvv9jmDm4rezVKB4j+m\n", "0/xaYaM5tqS89gUr6jQlaxt8uUHb28d1VWxPA8HqUt+YN2zSD3nBykzampqjgKWb/A4Gl5iElIYU\n", "GD1IKxmFjK4Eoq42d6J27kKDr8W542mkz61vWhqE+6smwapGtzANWCPUfQFZJ4ztyZJ+FgXpHos8\n", "Bz+JBKezkMb3SWR+s+ZpLtNBYxtv48kmEHttjB5BziMjEK/dIIR/GzCzlb939E7cEScv9f74Mc7i\n", "jritzkC4yx4kOG1M6mAxCmH6uhLcnTaoF/iQKgUGvAEfpsRsdWp/9HETF/H/Wjm2qLHwkC2712DL\n", "sMG+Z3CK/X/2zjvsjqL6459ND+mhhZrQpIYO0nsLvff6o/feBCkigtgoFkBURFQUsICCFJEiSA1I\n", "SxCFgEhROgkEQnJ+f3zP3J3Zu7e97SaQ+zzzvPe8u3d2dnZ25sw53/M95RFScd0TrDMWmeYX2jdM\n", "4GaLF9of1V5cnzNheJ4uqStVOmkxIq66zfcZvNag/Z3HddVpTwMl4+8G/6jTD0MsdwWaSSH5pcHy\n", "oc0ma+C+JfWnFjlvS+z2WpUo0wBdlIi6/nvxqcFhBku4/HuDSyy3SBVzA4ZSE2e2BHWyJfg9z4uo\n", "JHZFbN9XIgvxU1QR35aWaUjJmoTwTWciCobDqJCahtKv7PePILb5HnXl+X0vEsnb49gyZNU7HymS\n", "GXKXXoSsTgNQuqutUTDMIG//QOTu6/aMALRIvcDnGMbS9gZ8Xko8mceDsVH5PAMAm+zXOUmJ+7ZK\n", "F5ADDL4SdemKJjLDYlfPsIh7ZxAyk8fg2v7IzO51TzFhNcLv/2fKmTfDy2QvYQGOLR2dirTrwEJb\n", "sSSsSkXJqRVVWFYqSs4EWozko6ESc78pZL/4/87juhr0YycsQWH8fGBwsckqEvokWKRiHFaxJM//\n", "fOBrDdraqUTUwIqIisTH4QUGT0a/28Tk9vzE5QtNHE9h/AbF5EirjhasPKMK/xSykiyE8IF7oYi/\n", "a5DFdyLNRdRNRUEcz6EIylPIlbB9yFnRM2RpOgIpLZchxe4OFGkZp3Xp9vx0iDQ0jm7cFsdtIszk\n", "iXgeQUStciHiqxuKUgrt5+/ZaMQDNxdKZdPjib9r3F9V9oXZgVcl/dTuBrS70ENcOl6/DagxK74B\n", "djfYa2B/AnsB7EOw98D65YM1LPgzBb9JN/XTfMB8kbwZjiFw+UTg/yL5SgQqDc/xV4hF2uSq+KnB\n", "Laaw6yOjxe5TU7LWwAP0TLKQ+2R9BalbcBcqSsIEUxh+/BgfM3EeVVJy+Pdd/Hts6ei4RYaOLbS3\n", "kecWNEUVtmwB8dJ8JB8NLYgbGRxV41jncF0N+rATlqDHDE43GBjd/+IG3zcp3PXchTNMFrHEiljX\n", "2kBVIuqDTQDtUOc3TcDsynN6G9g5+v3XULoUH7tXW6rMhnegbPzOEf2d4X21ZDj+CIokOwcRWP4F\n", "4aWaiaibDIxHitOzCN+0AyLR/XH03o3BLWAI67QEiri7GCWX/j1KTn4IUmrWonZkZqfnd6SgrhfJ\n", "WwLf8O/DkGIUFKeNkeI8DilO26Do2GsRPmx+pEB9ldT9O9NTE/A5TKzcUv+0uwFtHBg9yqVDA8Xq\n", "SbBzUCjrTmCHgW0NdhtYlrfvMmQ6ftBfxr2RafhWxJO0FPKxXwWs4dddHZnJF3B5WRT9ESauRUgB\n", "2vOQEvENAuaK5JYmJ5+IYtP35qRh1MeT5tM6GjjQv6+F8nQd6fKX/V4ucfkepHht6hPoO8g07taI\n", "xS3fhZvBDyx11f3DWlV0KLV0vG3N5UxbyHJlrOMWGaoW2oYJcIvj210lQTG7v7BQhxIrZn2sI5F8\n", "NFSsall1zLpTsfK2dUBBHef/28LlVQx+WxhX9RSr901UF08mz5/U/bceES7Gx/zONE9VsRjlbOc1\n", "rHRl47efVUeSDjeY35oEh7+HGMNv8XIEsiZfANwTtWk14LDi/ILycI5GisuqKJ/fDmje28SPD6Mk\n", "gXkHxkEM8F8Yj1Z0eWPgGv8+wO/h+GgN+Qpy4Q30eeibwKnISjg/sDyiklgpqnPprmj3zFCYTW5d\n", "3i/tbkAbBkJbOKToGlfgMl7XvD757uUv+7pox/YtZDo+GO1Sf+GT0wV+7GTEJnwtIsHbmDyL+fEo\n", "CmZD/932fq2tEevxai4fg8CSgVPmLO+rMCFeBtzl3xdHu9mfunwwUgZPcfkXSFE8zuXXEJ/TT1y+\n", "3a+/n8unI1N0H5fXoGS3TxfhUmo8x0LdbxuMtfx/sfLxicEjliofYy1XrjoFCG82IbLVyMXmO82h\n", "Blsb/DDqj6ctVcz6W+o6KpbakXw0dAXWKt3rCozmghYU1PjZjbec2bus3bF18scGf47O+YnBHfEz\n", "uQrfTHi7/g9YJ5KXxAHNtGApoLDo5WN3qIk08yaDrxvM5fX0smrwfVnpFbf9H0jZORhtcnYjdUPu\n", "CjwVyXMCqxTa2M/f802BA5HV5xhk6dkGWds6jCEC86EZxAAAIABJREFU+kffFyK1eK8F3Onfe/m1\n", "jo7mr7OAOaNzr0Vz1grIur4eIv/cNqpzA3wjO7t8PkvbG9CjN9tmDil6ELyOcA5xWO6CiEG3F1LG\n", "VkO7yCV8AtsPub62QLuw4xC78VEoHPkEFIGyG8JLnIY4UDb2ieVcxC+zKlLqDgH+5pPllT5xXogs\n", "Ug/6JD8O4Qf+4JPUHD5pXUSuqO2EE9a5vDspJcLWwAWRvAFSEl3pGG0iBQxd+rTBn/z7ZBNdwZjQ\n", "x3cii9qCXteifr1+Lo/1fojqXtB/u5Qp8muX6Fq3mVLKmKXKR7B6dN4iQ/lCa7I27GkNLEyF35Qp\n", "Zn2svlIVSm3cGF0U2dZNc0KTCuo4q3b91mt3jOPb14RrCvKD/iwq12g5nyL1E4pvhKILYyzTNJQv\n", "sFFuSx87owzWM2EUzzH4lsniisEaFim+k4G3o+svgW+MQnv8b1+0cZsP5Q/cH+GmjvV5YR00Jy0G\n", "LNziPBdTN8wHnBrJKwAPR/KiuIUMbVBPxxUvZF26x/8uhVyO26P57OCojh2KY3x2mV3i0vYG9OjN\n", "tplDis5xgdxHOYalPymm4At4KgifZDcDTnR5DaRMfdflk32SCK63m3yCWxlhAib4RJQh8/XN5Fw0\n", "myBw6HzAKj5RXue/vQbYEykhYeHfzdsyFO1Kd8exVN6mg6LJ93xy69TySBnbH/H6bINcmVv4vR6P\n", "yPpW9HIpch8sSYXleqDBMaZ8eqsbXOMLw84WRTw9iSx/v8TBxF7/D4Efurwgsv5dQcXSESw6L5nY\n", "nv9gwtqEx/iowQ2WKx+D/DchZQofEKUy8f6JF4peNGGx8Wfkud2WtBZYtf9KuQXE0wEdbeLJinPS\n", "lYHzzWopQ3SjBbEL380yBdWpNRqRY5a1+/EG53bMIufjYT5gTX+HTkUh+PcivFITilNseQrj9xKT\n", "S/gVS92aUwz2j8ZNwF89apFiuH1JOxdGOe+WRWDz/RClwTg078yLFJdh5ApilTsJYatit+icwLcj\n", "eQyp4jScPNffEITJDMrdQj4nzIXmkmHI0nYAcFBUxz6kFqjhNEiYPrvMLnFpewN67EZnEg4pGih3\n", "k8H+Q8oF0itvx0QEoP6K17UvUlICk+7lSFEKE8uTyIIz1uVriHaDKDR5zkgeSxr6HXbFy7o8yCfL\n", "K12e29sQ5DE+US1LrgSFzO9r+iJwucu7IpDqH1zeH1nAfuPyJijj/CUIq7C239tJyFz/RbQ73hVZ\n", "tTb39qyJdsH7+u/uIllM+pusMMki8zgprmLt0GcuL0zuihnoE+1wxMYcLTxm8C+Dv0XyEwY3R/LO\n", "fs1KotxbgZOja+0KfD2SDyS10O0BXBjJW3mfuPIyyFLm9fEmZS/Iz5ssJomFaZvoWc+NlDt33z1k\n", "cheZCdx8gOXKYVA6DvLr1FYW6GRkWw/OE0X3WSdwWPVKTSW0D3Lfr+dj+MvIVfg3BAz/uDB2a5Rh\n", "pvQ2R/l4uNiUmLgSIRopkPUsidNNeScDq3tskasoVvMgiMGpSEH9IbI+HR/e0ZK5+IekORdDmYKU\n", "nxBhOAJ4MPrtAGB3/94XOCo6Nhh405/bALTpPAPBG/by/2f+TsW4zjG0YCWbXWaXRqXtDeixG20T\n", "h5QvUov79xFo4X8ZsIFgW4Ht5dc7C+xrKKllUOoWAvsqiQXtAWBJr+800vxbW5BGrCwI7BjJiwDH\n", "RvIyyL23iMuroCiboPys7RP6zdHxX+D4D//9V6P6xgCHRPK8wBaFvoitM31xNwhayEYW2rZWJG9J\n", "Sn9wBKkCsheOjXB5HTxpq0/2P6c6UOFKP7YmqSK1G57g1eWTgD0i+VJkRfP6TjC4Lho61xrcFcn3\n", "Ws4PVSRcZEUaJGMldfUMJrVozY+sie5u29fEExWu/bAJXB3kP1uOp6os7g9F9e2DIq584bzS4BBr\n", "Dpw/zurkqGsVcD9TcOA0bvcEgyMsV1iWsvouw6kGf7EIy3Ql2vA8CrxCcxan/yEqgpsQdvIY/72J\n", "i6ppa6Vfqxns2zSDf5osccEKXLHqPezv+pbIShS/4xlS/gPpZ8Ht2t/qgOED6L2319UL+De++fM6\n", "v+XjP5BoDsRhDYW5ZO12j6XZ5fNT2t6AHrnJLuKQ8hd7OHnupdURpugIl49EC/zPXb4WubSCRekO\n", "hEU6iAKJ3QDSrOGAfRFsF2/LS2CD8mNhN7cK8MfoPpcBvh/JiyLlay6X50MLZ2jPCGQZCikPBiLl\n", "aLuufgY98IznA8ZE8trAppG8j0/SwRpxGvDl6Pie+E7Y5XVI2aPHkCp+Y6goGC+bQuhD4te/Gtxo\n", "igAzk6L1l2hoVSxmt3ldl5MqpGcBO0TyfqSUExsAS0XyIiSM8LHbrl6pmfokiuT7n8liEawgh5ny\n", "0sV1JLitUKoibGkecD9TceCUt7uflRNnDjXRGfzR5BI+1WQpWt5g7jLloVhmoNQs41EC3AuQZXkc\n", "UiCKCmuGQNV+7WZzAAaXXq1ozckmJXKK38MrBusavGtpKiSuJMIhepsejtvp9zGKioI6yOSan2iy\n", "pn4YjaPQp5VrvIkwWWt6XfP4+L8mqn8FPMDF5bobldlldunu0vYG9MhNNqA6+C/YnWAXg50Bdj7i\n", "kjqAxA23EwJd340i33ZAVpCHkXtuFwT6fhzt3vZElo8bvA37IfP4112+F7D5wIZEE+tAsIPBTgF7\n", "HuwZb+O3vT3RZHYyniYCmb2/hFxWGcIynINcCn2A/yDc0hhyU/iFpDQI3wQWjeRLgMUi+fu45c3l\n", "K/Gs6C7/BLekufwz0sX/OmDpSL6xIN9ESvNwC7BcJN9BalW6m9Ra91dSYr6HSJmnH0PWqeDqeRyn\n", "pPDjT5Ba954Bjonk50ktZP8gWZgWNDGvh2E13FKs1adWTRZaiawsps4ZTWqVWq/Ql/uSRo19N23L\n", "RqaUIxbJZ9dYQEuT9UaRfOv58UausNgSkiy8RkFRYhblwPF2X00VT1OtaMyG5XdozjgH+CMV5bhc\n", "MS20pYQupq/lbtlaz8lMkawjo7a/GY3N6SYKidcNFnN5T9PmYYSfk1iYVkTz4TzkWM2lUKTfAsga\n", "PISKYjrEUovq4V73JJfvM+W8DAoYhubK+N0bRJT2ZXaZXWa20vYGdOvNFSafWorVM2AngJ0OdgjY\n", "78BOBfsZWO98ArkQ7ZzW8rrPRviBAMD+Eil+6RTS/FjHk0ebZTgj8ESwGa7UPe/fDewqsFf9+wyw\n", "q8H+mrdlKgJcBtzPqy4HYPmRSNGL+ae2JsVTbUFqgdmYNPHpeqQZ5Nckze+1GhEbsE+wcRTicqSL\n", "9ZJE3C0o+mdgJC9MGhY9P+kueG7SrO0V2gWXBxOFZCN8RaysBNbxpnnLSK04e5CCaP8MfKh6JpoU\n", "lzj58VUGv47kk02RVRUr0UfATl7XQihH2coub4qA/iNdPhrYKrr290ijlM4iUaxuNLkAw7Vvt/JU\n", "NWa1IhOpuBaDpapZS0hw5f3GmuC4mqU4cEjcgkVqDbPc6hITh/a2aj6oiuK5AC1a8Ch1p7UaxbhS\n", "oR1zm7CA4fjSlkaCnmdKkfSpFVzZDyMlahhSnr6B3ORjEUD8cbQh2yHviztMitQZBud7/f8w2DQa\n", "s09b7iqtKFczrcI9u8wuxdL2BnTLTZVOPirtTifji8ncgPWvcd0NwUYga9YCft4YhL2K7uVBFAV2\n", "MwJ9X4+sRt9F2eEvQ1aqUxB1wunIFbYPsqTt4xPeJkiJ2gC5NpdDCuMY5F6b0yfNfrPC4tfcWChd\n", "vB4CVo9+dzUR6Ba5eGMLWy8qysfBluYfvM9Sq8GPTErXdItwTY/irkvklvwGeZb6HZF7cC+Xl/MF\n", "al+X+yEL6AbRmHIgcFjoP7CUHLWs1AWbr5z3TWfSvtTmuGriPZmplC6aBrIn9+xliPdJJRr0fZpS\n", "0hLFdHRrvwm8W1tbnpD7MT820OSixGBjS5nYP4y+v2py/wV5zdCet9Dm5rvAF6M+WgVZ7GOuqGv0\n", "m328jsmmKMTvFq6zYyTv79epBHlcA3wnqnMIjqtyuTezAGP57PL5KG1vQJffUA2uqoN8gmtXAmTK\n", "md7tILA1wR6JrltQoGa28ilyWXwMvAv8F7nJ3kJRS08j0/1LSHm4HaWZeRL4E4oEvNjPuQZZW05D\n", "oPlvoqjC/fy8U5ClbTOkLO7vE/dYFEY9Du3650LEoyuQ5xDb0s/1hWiAwfbRQrSPyYp0nEWA6Rd8\n", "sVgN4UaCBXB3b9cIl8/0snZe97kGH3ndN5rS6Exz+QlTNN6k+Fqrtjh+hpFaCNcmdQ/eR6IEHWVK\n", "5xOG1TmWRgfeYHLxaHwji2LsfsxoCdwcShlBZvO5EenhjAgtvr/WMevd/VbC8O8RpS0paf9t/Tfj\n", "DE6z3Bp0kOXjJChZMTbrSlOwRajrGFMeQfPxWwHdH02u/A5FrvQAMu+NrKohCq8DBLHP+nUqFqv3\n", "SSkQFgC+FclLAo9G8qKkOKy5SUlYBxJBG2aXWaMwE264StvZ7gZ0Q8eX0hk85pN0BzmkWuLSQW6z\n", "kEJmBIpkCXVZH5L8fwbYFmDv+LXfBXsF5QucCPZ3pHj9Ij9/CgqR3wm5qPbzhf8oxB11GlJYvoqi\n", "/i5BXDdXAzegvF6/Q0rPg0jJeQgpIS8iRekln8g/QIrUJxTaPBOXT714otheJrDxXCbcyEKmBXKs\n", "wdqmSKoKEPk/SAH8h/fThch69Cjirzoa0Tn8BSl74/W7OQxONAHXHzbY0uBSUyTVv004p1HhGrfi\n", "DM7RmLkK2DqSLyONqPwGsEkkn4dbrFx2nFVY+L9lolUIQ/pcS0Hn+1rksloREUoeRc75c6+OBffi\n", "gQa/in7/DUsX4LiUpXRJ6QWopjVo1rLYFmA7XZK0OVGsrTUlbVAHfhOuFRjiZ0T9GZScgGcKytp9\n", "pk1AcP2F+nY0vScYwjO+TKr8TqFE+aVhSqOtTe+KGTxlirA8vTCOKsEegyhQIyAMadUC6+fGDO/z\n", "Ux0RfX0krwjcFMlj8AwR0TweRyk3xS83q5fie9rGdsyUG65aJUyin4lPlmUrA48NQxrCwoXjW6IV\n", "bSnkQyseD5+XEABposRbzWzLwnWWAd43s1dc/irwgJnd4vKpiMH3ObRALTcEIcYPQ1sr/ODlyH/3\n", "HjLD3ItMJmWfQIWOCCsPqXFat32yLAvpJ4qlfyf/NxAB8HujF3iI/+8T/z7U//+J/2aw/3+Gl1Bv\n", "hibaWeEzA4GgpyOs1if+HWQJNGQVzFBS3T4IWzfNjw8iV3qnIJftRsBiwhFvjzy6o1DXTEAjfmGv\n", "7kgUtc9r5P2L13eD//90PZaP9JX10ZsBotvaGuHoi5+B3tTJUbXPoTePKYiEdXf0HMM1PwFGyjB3\n", "APXfFJ5CtCLvlnVsV3983L+v9k6M2tXoE+55CJqRxuGzyr+BhfRGf6fJupZD8RRlv5mOXh1QTMc0\n", "BNMLM8YX0f5pim6BfuR0WO+i5/qUH+uN6Kh+g+JL9kacvbejcVB5B/3TB+kYn8QNuh3YzczezbJs\n", "OPBOPo6Knzf8twt5W19BMQJ7et3h3qaDoAy7ApPM7IAsy5ZHWNe3wnyYZdmXgPfM7HsubwNMNbM7\n", "XF4R+NjMJrg80jvsY4RJfdX/PwpRNNzo8jLI4nWiy+sA55nZhi6PBfY0s9NdXgApdje5PBC5Kt8s\n", "6YSZ7uNr6eFUv6fXocjzx3uoHSNQkNi48L8B/ndqeuqtqP97ZE5o+Gm3ZtfFWm1drqq3yd1sQ5Gr\n", "r5jS5liwwblG/CTSc44mjRg7iTSR8GKkwO+gXVc4aQYht9/4knbFTO/jarR9Eh23oPVAv/cmJRYd\n", "QxrBty4pfcBepLvBo5H1Z7TL27ocssSvhFb2IM+FGNnHlLQlQ/xYP6FiLXjJd+HPmHh4HjRZW+40\n", "uex+Z7LGbB769z7EDXQyIhg8F4W9fwdZra5E1r9fIQvKrUhLsbyUcvNMQ6vIjJJjM3GZw2BOg3m8\n", "LGGiYFjehIFZz2ATg81MFkAsdQWGUrQ+FS1SLbnFeow8lLpWl38b7GByMx9osrgcZ3CKyf0arC39\n", "Q7tfppJq5sc+Dh820XVMNFm1XjNF7n1owuXNsNwF9xtLLY8Xm1zaQb7XcmqP2C17i4m8NtzHRiby\n", "VzPhsCpYphrPpjgeAr5rjIlOJOC7KuM+zJ0T8/udaMJz3R2190TTexnkywxeiNpe4UV7H2mAu0fz\n", "xGmIQHVtl3+KtMFjXT7c5dNdDpkZjoue7fkF+Wzg0Ejen9QFuSFuCUOa3yIIizoXor0IUISlSUlI\n", "1wV+GcnrkFLjLAnsH8kjiVz9PTjW25JLt05b2paCrjPlM2OxineVZXvK4OOaglbsJ6NjYa83Pf3J\n", "i2hRnYL8+R8hHFHZJ3TiIKR0rRoO9PW/06KTV0Er9mCkBYB8bkf4RS5Fmlo49gaaPV6R+CiVKLC6\n", "n3rHy471Qgs+aEAPRosAKLXL3MD9/tu1kOnjOj++Ndpyft/lNfz8m11eHJki/gW8gybcAJC/3s9Z\n", "HU18V7gcGMD/1eBeat3PrcBAsT6U2SYzNNfFn4pV5QMUEdnSy5Fl2Urku7wh/u8PUD/9wKJdXpZl\n", "vekaa19RHo6Ms6PzlvXyvzNIPxl6zCNQF37oZRraE3TmczDSP+NPsGQdiXTpJZEndRU0PMrszMXP\n", "y8i2+z4oirLbd85Zlg0CJpdbXZ5Aen9Pfeb0v3OgtbwPmmU+RNbJIS6PR2v7TWhm28Db+T2k25+F\n", "+n8gGjb9Ud/ehAxOH/p1BiHr1+9cLrP3G/lsdSvylD8fhN8hhWhPWdDeQBaxFaL6rvBT8Gudg6aF\n", "S/x+PgC30mdZ9muUeWA8QJZldyLF6RG3Cv0WZXsYn2XZpsChCIv1tyzLzkX4ySvN7Hde14IIi3V5\n", "lmVH43kWzewaf5+3Q9itP/j19gJeN7M/u3wc8JqZ/crlS4B/mtllLp+ELGw3uLwz8Drwd2RaHo7M\n", "hr38Ad2JrGcrIT7Bk/132wK7mNk+Lq+OuL0ucXlhFIV+v8v9AczsY5r8uHXoHmBsU3bjbrYcZ1l2\n", "CzCukYfpZZR2o5aHqS2fdmt2Xajd1uWqOrLtu/7ZZeYqvY3SodIliZHbjkugNleU4/2asQ6N9t8N\n", "NVn6/mO5NeFJU764B0wWkttM0Y8Bt1XMlRcsEIMttWTFYOpabSmWnknQXHieNQDYb5usndeYgN+X\n", "mVLIfNVkvao1/jKT1WhtgxVMlp8lTPxn/bwf+9f5fbtKX2/bEBN32yIGi3vb1zRY3++pglm8GfkV\n", "/b6OMtE3XGSKDPy+yXJ3nSlDwEUmqpJgoavgq0LKqpuQxhiMAg+R8uldTkoUfDpOc+Py4eT8cYMQ\n", "Tc5ol7dEilkgI70IpdfZw+WbEGFpsJyfgHzse7u8CtpErVO4fsyvd1zh+KmkVCoXAvtE8kXkftEh\n", "SNfZiDwX46YohdiaXvdi3k87Iat66KfNSQmRlytcdySikGlbLt3CO1eagm4GSvs2mZyaKLSpO1LQ\n", "dbR8lixWg4DJtTz5V5DbN99H+2Nc/oP/9VOm++H3op8PL8jx8czlJYG550CoyHnJn/J75LipDxHa\n", "YSoa/atEx6cgjFWNz3vAI8iUsBCyULzgxxYhB3KArBV9kbUHBNycjraLGdrqfuSXDPcXdh3hfor3\n", "/y75tnSY/34eZEgbjswhS6Ctcjg+DLnI6vUfDY7Xa0+t4yOAsTq0NukTCE9kJMKjFD/BqsJgM5tS\n", "ckKXfNzCOoeLH1o3vYiOlTga2JkcK4GMaqdQ39ryMpqnP6U1ZGJvtN89Iqo/4H1iS5Yho+RkOoZd\n", "6phlsSOfLMt+CBzUGi4qvucTqdrv8zAyoNT7GDJgjESv1F+QkeVjNE4/9v9/6PJHqFuuQWvtJTXq\n", "7YNgK1PIIXx9kUE5vOq90Wz5fpP32+Ofj5H5bRqaf95BprfJ/r+3kFX8eT/3HRRhfBu66SkIJPgz\n", "NDd+jCxUv0UK1FQ0Rf8NdUpvNM++4L/dxOU7zGxSlmWXIbPh98zs7izL7kAvzHlmdq1jb/dECs5N\n", "WZatigbF8WZ2H0CWZY8hWpVnXP49cLaZPeHyNShdT7BMXQXcaGa3Rsf/aLkF7Ua0xP0RmTt3QQPv\n", "f8iT0Au9UBsA3xqETGYvoMXkVDQjPop2ZHt4xz/gHekT5Mooe0fRJN7hT3jfwts2HkVfXYceLmgy\n", "2518lmk3Bjn5tFuz60INt0vS1nSldl1P4w/Eo+PB/gi2MtjhVPmyP0Kr0K7oBdzNrzcfnozY5T4I\n", "rRzn6NqclNByA1Jm9TXxnVp0DwtE8hdJkwNvgEzcQV4eODGS5yUlCB1OirsaSErw2W1RNdS1MNQr\n", "tXmdurBtPRLdQpcQSZrBodG5zeT4K2LLxpnwQ+F4bMmaHLWreN3/mZII12pX5y2LHXnHm4/Km1Tj\n", "nmOc2JgWxmZIK9SMZW+GCT94TPwsppLnxmwhsfSSUR3PmihF3jUxs79kIvd80uARU0TsnaZ0PpeF\n", "332EfIOnoYAIkxVqRRPdxx4GW5hweotaCWv/xwgp8aaXKTSXT7Enywyk4L3j7Xsd6SFPI4vXeLSf\n", "fgzpJDejAI4JSGe5CuE4J3m5BMU6XY92f8ciPeYQtA5siax2iyDalyWR9a2P/za20N1MmjHjn0R5\n", "E71Nm+P45PnAbgD7AOwNRAX0Y7CnwO5CGOBfgd0MtkF+/zch//4laB1aHOFkD/bvw5Hvdy1yC9ow\n", "IsLpWvP3Q37NuL/LMF/jwB7O5W6bv5ueL9p58W6Y/DqVaJkOunA6ct1N/LoHg031gXpcOmD2An4T\n", "XWMnYHwk7w28Gcn/B7wUyYcC90fy0aThxScDt0fy2cA7kfwV0vDjr5KCOL9BCuC/lJSw7wpSwPrV\n", "wM6R/EvS3Hw/IyXkvIo0YOB7RDkMEY1E0YS+eSQ/RrIQnW9pvr5vWppa4zKDXeOxcDBprsB9SfPe\n", "7UaaUqeo2G5JqthuiybJaELob7XoBBCQaFT0+yVJmfTHkAZMzIfzXCGl6hnVF4gkxxt87Pc60bTo\n", "hoU/EEmWDdWKstlEGpegpBWJKvtHx+O6Y8Vqhsk1Ftox3WA7y7nBiqVnFSvv1xYUkphHqng8pkL4\n", "Y5164vpapVuIFTs2A86I7mNhtKhbkwmxrTZdgll1kEL5M6L5XJGh1ARIo43ZQB/ro5CVfkm04VsN\n", "ASg3QQmgd0KWogOQAnAyMsacjZI4/9DLVQjsfidyi92OrDsTkdVrArLQv00ekTszKnlTvX3/Q5a4\n", "l739DyHr2wPAXSj6Nyh5n4Bof04HuwClUdsd7BKwa8E+RZv/f/kDjowSk8kjsv+DMLeLInfjK8jQ\n", "tSmylr2E6IEO8/6/x5/RgUiB/D4irLa+iCAblPbtQLA7wD6Krh+D18ciMu14zLWrtO3C3TTxtWQ5\n", "mkTil72RDlgR6KSlbBC5r7gz1jM00cQLcV+EHwg7hIE+6Pu4PAjtlkIUyxDE2xTvKGLFbCQCbQZ5\n", "BPBkJA9FoM8gDyYl8BsIHBnJ/Uh5mgaQEl4OIU15M2f8sqCAgjjFziKkKXp2VF+GhehxE7tzeAQP\n", "mVJrBPlXliemZUU0Kcc7va1IcyHuSJrbcA9SLMX+5ClqRvgEY7mi8yXL+YUmmqwzFTLEJ5Eiu2FU\n", "33mkPFYXFfrvElzRpLJ4LWD5Iry/ibg03O8eBt+zXAGYz9IUPHGpLHxrIqUzUrIGmyIvy/LTxdaZ\n", "wVatvI20HIsz0WAXE4ar0evT/ZbFGu9YlNKmGYWknsIacGKNFKVYSWuWIDT5TRUGBvnHf0xzSs5t\n", "+bFa1zvR0ryYt/l4qJkuKeD/JheuZf6/mTpnZEl/9kHz6Ui0wVkE+apXQJb/9ZBisQ1yye+FFIkj\n", "0Ib0ywixfyGybF0D/ALRDLyJopQfQEiR6Siw6mUvH5MTNndrtPGnJQ8/MgSUKjJono49FRuSeja+\n", "jDaJ8/i5v0VKsWVe94Jg3wC7HGw4UvLiNsSYr14N2tNjY6Ldg7IbBnkpQWixTCIB4FVKq6GlNADN\n", "h/Iy0v6nu/w+uTtwU0QOukN+vUCiuARpvrr+BXk90nx6fyZNdnsNqTKyKF2U+R3hDWKTcz8UIRLk\n", "OUgzzg8BvhLJw4FrI3kuUkVuXhRtE+S5gYcjeQRwXSQPBb5WeC6+CC5lcln8OXok0yxfxCdZ5PLo\n", "cjAmHUuF0qF20CmG8EdqnJMvkHn9Qw0mWG1rRVn9i5qAzeHYlqYccdjMDF4v9G+TVpdGLtY4594Q\n", "a8JqVEhp05SlqWH4OVJyHsFzl3qpJMSmKbf6NEvT4Nxg8Mu4rqvw9Ex+ze0Q4Dp4CAbTyWAPOuht\n", "mNUKaT7VDFnGs0j+jvfnnAiM9wyC/a6ENodv+2+2RYaD5xEI3wCbH+xosBOR0WE42NZge4KdAnYm\n", "oi0ysAeRVSnMDV14j5UUXa3AayIjyeR2j4G2D5RuGHiVXWU9rqroIdgQFDU4oXBeMxwZNKlYPYPM\n", "rME6dR+5Rg7SyiN5RX8R3sETF/ukOh1P7IwUlankSaAzFP7aL5JvKLx03y7IxxfknQryaqSKXI9m\n", "lC9cuw8pJmwAqUVnMGl+suHIXekL0WCT8hQWh9dMyWiTheiT8IyRe+HeqL65gJ8Wxtk5hevvW2jf\n", "uiSKSMyEXqs0n/6lRp91AUN4XFLrUGv1b2uKFgv1L2pwYeGckFalQy6utvG5URp1GfIBxta7Ty1P\n", "bVQsZS6whkmYm3WnNc0z5O9WIIkdhGhmVo2Od2JMcSXahMUbwKJ19wZSmMEepJF+veu0fZZi5G5n\n", "8fc3hhP0Ru65ivK8Z/QQ/wW2OLJUzQD7OtgosCkur5j39/vIYzIJ4d5HeJ3fBL6GNtkZouFZpt7z\n", "jNo2EToM65nQ9r5udwO6aQBVTT41LFGJcjOYahLPRqGl8aDsqCtwybRNd3u98yNf/1Iur+ADdbDL\n", "m5DmwtqS1BW3OvCjSF4URasEeSgpQV1v4IbWH8soAAAgAElEQVRI7gM8VJBfK8iTC/KEQn23FeSr\n", "CvJZkdyLlCCvF7BRoZ+XKMiV3VsrY6HOQhS7EvsCi0XyHKSuuKHAQZE8J/DVSJ4XmfJ9UTrQFI4e\n", "hsALJqUjyP82WW8sXpSeLdR/enTvoxBWIXb1rkFlgXnaBDBuZjiW5fezYlsCBrGO9eJ0g3kj+SiD\n", "/RrUbybrTjMWvUnWDoLQBuPLyUP717i3XxscXuN+KmNwQ8qpMWq6xKhNp9FpNxraEMwTyWeo/u5R\n", "fn0uiN1F+xXe9TuA9SP5QIRBnGlTIM1qhSZwwtPBXozkiMIozA1fQKTJvdB6cBpyZfZF3pYHfP4I\n", "mTb+iQIaBvg5FyHrZl/cYnULKa1CvVLEfLW1P9v9QLt5sNSafF6PX75aUQYhd18jjoxag3Iy2IeR\n", "fDHK+2fk2vW21fVv3cF7HUCaRHc0aS651YEjInlrUkVrO+DiSF4DODiSFyXNlTWoMPn2IgVr9wI2\n", "juTepIpTH1Jelb5Erh3kWvxTJPcHninc7/uF4/8uyA9E8mr+Isdj4WNyl0cf4JhCe3co3M8qBXlM\n", "of0LFdq3AhVFZLzBXdHweNfS3Huvm7iPzCIr0SfkitMXUI62Wrvzvagk9h1gcI8vhKH+O038Q1aj\n", "lOX3SxdIqhjIbyxcY6SJ16jZ+kN524RH6joXVw/OMQ2UzRmWugRnRPeUzDnhOa5JC+4sv/7cXrp8\n", "MfH6L0b5M01W3/tK7jMeM12r/Pq71juSj6ECvh9mUuZ/E7XhDJPlMARP8NTMMl5m1kLn8MlNWY59\n", "jlwueqZL4vAQpGyd5s9qUHgv+iCF7i2wZcFGkMNpykojzFeP9We7H2gPDZrgf1+AFijyx5IrV3H0\n", "YKHevmFQDgT7Q1TfPmA3RfKffEDGg/LxOvX3cB8NAuaN5MVJFbN1gcMjeVfgkkjemRTjtA5OnOfy\n", "Yjg9hMtDSBWTfqTg8IE4UZ/Lg0mjAIcV6h9JqqjNA/wkkhdAFsAwFpYGnoqOLwG8EslLoZxjQR6L\n", "cowFeXng08Lx6ZG8DJVUHgNMaTuGRHPAc6ak0EH+nylyMcgVcshByLR+O8QLcX8TWWOyOP8tv97H\n", "lgLBP7EUvF8sRcWneoFEyp2J6NFMKW1iws/7DT5oUP+EGsffMdigcD+zhgWCpl1lHxqsZfC+5ZbA\n", "3h26R3rYBUYC3O9tiiqdaKmi2DPKL1WYxeleQj9/z+BNK2AW/xL9/jTSiNo52j2GZoZCx/DJ3YFJ\n", "rcBrgrXqUwTVubrQliJh6GzFaiYeOLH7bwv/X5mZEYWGHhjXvUgLgzLOC1iMCPRS5H0aHcn9SC1I\n", "A4GdInkwcFQkD0NEdUEeCVweyXOT0jGMQsR3QV4QeCSSRwMTI3kFUlfhFqQWpQNIFZNTC/JxwEeR\n", "vDswJZLXI3U9LoGINeP2xb+fD3g7kuchtWiNJHW1DQf+Vui/Wwv9+/NIHkDqSu0PfLNw/FIqCsIU\n", "ExN3eOSTTe7BWkOlsthWNgNatI40Wb/iBS2mNmC6/naEv2uISfFJFshp5EzU11IZpxNNkZX1lLVi\n", "/eEaDS1Sb9ENLq5unFdaCBiYYOUcV1XPsRams0l+sq5XQCl1q/e1iGW9267dsb42P2dIaNdKXsex\n", "RMoUitidM5LPI41IHtLuMdZD47hVfHK3KM80Aa95DMF2ory+NkfJGt22vmz3w+zBQdOSqfMf5KGb\n", "4xHXVITHGuQL6Y1R/aPCYBiK/M8rRPU9ATZnNCjnRWbOcPzidGIahHipZkT170JqIdmMVJFYg9TC\n", "siwpPcL8pASfo4AnInkuUrD2CFIeq2GkFqBBVNMpnBrJ/ah2/W0Zyb2BdQvX3yySV0TZyoO8DZ5K\n", "wuXDC9fflzTp6QZEblVkMVuq0L6GIMpOjrmuICr1hWyo5Wk+MFmKDrIcKJ3szq1jQOOqBXIC4ulZ\n", "w+9nLKLk6GD9wVXZWCFgJoryqtcWqhKut4ITW8rShMpVz/GWwrUiq1Gg7SgqqI2Vsy7oj3r4rpPo\n", "IJyhyWt3Ckhf5/nGQTsnktPQ9EI4oTgo6FtE0dX+XD4TkYg0j0/uVssxNeA1b9McYWh3t69h+9v9\n", "IHtwwLRE4jmNnFn2YJfj0FKkGGzpdWfItbU9Fd6X2g99HNjfwK6LrvcgUrSi+jckVTy2IyXA3IeU\n", "cPMoUkXmS8DRkfx1UsXnDFLM1dGkUW37kWKMtgc2jeSN8AXX5VVIeZ2WILWwzUu6KxxAFCnUBc93\n", "HlKM02qkgNddSKMGTwLOj+QDgMMK9xff72KkYPY+zUymdG4huKcwWXgpKkAhtP8la51Ick0rcSn+\n", "FS2eixCxNPv9dIKBvBLt2i2g6+hd7BKFjPrutvWost4E1vlmOa7uNQUtFPusPDKUKhdYrT7vPG1H\n", "R/va+yyO+NuIiF+vC65XY6My3UQmWxZA0Dnes/g3CPoRewIGI37AOIgktlz3iue9WaV093vaxPWr\n", "DCFvI3hO+H8jKA9txGK2/QH20CDpVOTeEOTfLb6cdSbeaaCIP6I6DiaNOCy7Vkdf/ib7IN5lDSUl\n", "2FwIT07q8nKkYPS1ScHb40gVl91JMVCH4il4XD4Zd5u6/FXg2Ej+Gil4/FRSRegwlN09yHuSMr9v\n", "RaqIrlNYlMaSEn6OJiVUXZrUorVu4f72IeXlOos0qvHgwvFN0OLrishgywlBzVJMSFwmWeS6iEqZ\n", "dWeMVZNRHhsdL1uADzLYy7/fHdd3G7JqVtzJdcZSBxjIq6wvXWqRqvMutow5onl3m/d/sBy9Y3mE\n", "Y73flXFcvWbw9UhOrSx0ip+sfS5UlHJluUhuibKlME4KwRNx+UfUv/29n+by8gWLUi39HeEVb0I0\n", "Dzf6GLkM0bOc720+CW1WD/Z3fxdkNd/U3+vVEc7yCz6XzIus+iNI57n5SbGcc5Ju6PoSUSDMbKWr\n", "39MWr51Ad4KlamZIEt2w7e1+cD30gOpyTf0JkaJdDnYv2JvRsWBtOiJ/UFeWTbxllqnRYK9QnYm7\n", "rLQbvN7uglyrMfndPKQWrqIFbFVSC9nGpOD4nUijEg8g5co5ntTVeDZwSCR/m9S1+BXSKMkT8az3\n", "Lp9SmFDPxRXFfKzMGS2K+xicFA2BcwzOM1EwhLEwh+WL9tMmRaXo7lkq+s04i3bnjrXqZzDa//+J\n", "KRfb0qaFu8I039LOjpYZyDu2c2xmUi97FzuDOaJld9tSVq0kjTdFpQ0utGEXK2eoNxNW7drCdfKN\n", "Ft3gAmu2j7vwHe+F3Msjmzi3TFGenI/p4r0+YyWW13aWqSjb9ruI3+k5FPE20fvgdpQc+W6UduaH\n", "wHcR3cDdyKNwEsKeHodSmMXK3bqkyt3CaM4cRoFIelYt8bsYjBQdJAzt8Y1FsLx8pj9Zlg0CJg9A\n", "YVrFz8mIICr+DEa20AfQCjUAvSlot/I9YOww3H+E4kZBb0+cw34pFKo1vE77XkJvh+eQX8k8k/ns\n", "T3s/WZZlFlafLBsKmJl94PLCwCdm9rrLyyMw/T9dXhf4wMyeyLJsBErEOkaGwgMQJn05ZPh7DkHE\n", "/o4YIEDn7Yfw7yC9cQzwI5eXQ5ClDxCcbDwaQd9COh+gyXuz/I4GIGPq9Pg2b0UK5rst9s1wlHZj\n", "XFo/VN6UBvVnWZYhfjBQ34W+Xhlh6HZHryJoUb0OBQw87ueNQO7SsVpPGr2NPIWyA9S81yzLbtE9\n", "LYWMeAvXOPNllLt2onfBLSXnGPA48pL3p9Av0TlZyf+vR4aSj0F98Lr+Tozur9HnOXQffAAMs2iy\n", "b7aPm/3Uepb1jmVZthBwtZltHJ07AvG/NRhX6wG/p3pmDfmQp0ZlAqL540P/MgA9kAFRKcoDkFtv\n", "aNSIOVDQy7RIHuYXDecPQDCBmeEzFbXtA//+CYKwvBnJvVCwyFQ02KZH50+N/j+1wf/K5E+skwpG\n", "cZ45DlHLN/M5DuX5An5oZod0ph2tfj4vilWGVp3BZdPSw8BfgGfRK/gU5VOgf6YBfQejPADrAE8g\n", "xrqRfsJUlNQrTLsbeP1ln5dQ+NxEibea2ZZN39jszyzzaUERQXP1k9Re1EFrxIto0/ohIqv+JVoj\n", "J4eTBqN9w2IIozfE//8BWkB/0OoCWvxkWbYS+QLdVP11FvXfeFvXzs+uraxR6c9WlKDa75i367Hm\n", "+j/UOxZNLePRVqz4mYJusda27gK0MT8s+p8hT/iluGI1D/Df2nV8jNbLPtHvP/Tvc4Y6BpvZlOYV\n", "l+YU7gYK2l0IY1WqvKGdxGJm9rzXtS56pgs2pyiPRenz6m1bIVpie2SBzbKsF7miVqawNVLqghwU\n", "u8z/Nwi5HAeifhyEgpAGI8vYQPQO9kEDYmb4TEMvwVT/npErctPIgwOComfoXmIFbU4UydnrIgT8\n", "LOusZUhvurKtKNlYdPun3ea+HjQrNg1en+GmxO1S0+5HpGbppPQHWwPs/xCJ2c/A7kfYKsB2Isd3\n", "PQX2ND0Tujq7zFyF+qDQ39DQ3fOWwQqW80Ut7HVs63/7xnXGoNtudfk0Uz9Nu+36GBxmDSLe/qG/\n", "XYc5olPutv1NFBpF8PQMy6M5yyJD3zdxmBX/n7gCl8z7qqwNvzJRdzxmwtAVXZAYIh7tsqjC5p9l\n", "8+5Z5AKzHLv3lJUn5Y7B+eMaPJ9JNjOkQOrB+WU02sv3QorW7j6uQ2Log1Cy5w3QbmMvHB+KcLHH\n", "IFjDWQj3egny0PwIKcS3IhfmncgZMxHZIp5HIP73fMwGJanHypSSAdAuXqu2D4QeHHCdYZa9D22L\n", "fgjYjmCXgB0Kti5KVFnrYfctkbPq894kBVLvDPRpd5993gpSDmKG576kfDYDCwvB4MJzG06KA5uL\n", "NABgFDA2utbiyOgZeMscQxIWu3+awvHXMRGKTjTYwQTEvdfP+b6PoSEWkYoaMxlWj5YX9QDGt0KZ\n", "ZAIjh/vsGswRTVFj1I048zLAUhoMc7mZtr5hSmv0qRVSCe1OJUlyWdveNti80I6+VqLIOGFt56IK\n", "6z/Lt6Pn07zyRik4/8cG10e/fa/QxqAw1cKtTap7H5/HgjJoxNHcu+Ps5y5vTRqEMw9RRo8Wr9Ub\n", "uUtHIF7BRVCQ0EqIHmgD5LDZHtiNXLk7FmFeXwesn4/fDCWE3hFsS7D1wZYHWwWxsn9aMghmK1Y9\n", "M6g6wiz7V/9tzcjCGWBvgP0F7Htgh4GthriqqF/eBP4IXOGD6wtoMf85nsYBWQBe8+/9kY38LHIL\n", "wdx4VAkyG4ckzb2RCXVxl/v54F7W5TkQaCeQ5g1BAPFABjkCWVc3cHluFC6/ucujEIB8W5cXBNYC\n", "dnV5jL84e7u8GAJdHuTyksgdcaTLyyB31QkuL48A6F9yeWXk7zrX5dUQCOUCl9dE3F/fdnldf0m/\n", "7/IGKMrnRy5vggDs17q8OQKL/tLlrZC392qXt/Pzr3B5RzQBXOryrmi3d5HLeyAKi/Nc3sevf6Y/\n", "t0OAI4GT/fgREKw1OxscbVKa9jEBzrc1+IEpH993LF3kwwKaKFYz1e6cDlEFrB39v5Y1psP8YEU+\n", "qjoRZ5NNis4qVh7NGfq/CJ4O0X/NJpqeYfCElVlZSKxpL0e/idMBBUXmXsuJWyeaGO3naLIN8XMo\n", "t/DVf5bN5n1MlTeashZuaWk6naB8LmfdETzxeSxoDYqjqQ8CTozk3fE53uUF6IaoxjDGxoDtXlg3\n", "y3L6lpXujrSvVz4XGKvwicGuAUJ8OKkH/wfIg+9A8grYtREAfpL/bjKCD5+JnugbwM+QXRQBMUYh\n", "pWfeGs2cgcyrA/3n0xDgYj+0ax2GzK5jEJBiEFJY/uzN7uP/mwG8439/C+yP+67N7Jwsy77r8hQz\n", "uyDLskv8/PfN7NtZln3L5XfM7HtZll2EfONvmtmPsiy7ACmGb5jZtVmWnefyq2Z2fZZlZwP/Q2li\n", "bsqy7EwEPXvJzG7Lsuw0v78XzezuLMtORgrkP83swSzLjnf5OTN7PMuyo11+1syezbLsCGR6ftrM\n", "/pVl2SGIQfnvZvafLMsORCCYx83szSzL9kOQtsfM7IMsy/b2x/aQmU3Lsmx34AUzexggy7KdgUlm\n", "9qjLO3jbx7u8DWJyf8LlccB/zOxJlzfzvnja5UORMrcFOd5kCgJGDUC7s5OkV89A4NzAO3kFCgia\n", "zx978TOQIj7GZiKsXuewS6uj/cKd0fH+CHpR6208BXgbhaQU8TeVvhpsZlOiNg4CJpfXOQOxkbyK\n", "XrONatQ5GQ3By4Efe/uXRTPD6n5uIzxYAXUJD6INyKLAY9r/LKKv4txF3pl69f4KDbPfI7zRRmgo\n", "DqzRhvCpxibVf5bjEVC/I8+ZT3VD9cD5M/xvL4SxXgd1T/h0HCs2+9PcJ8uyZQDM7FmXj0VryFUu\n", "H4yIqW92eQwK4nmrhWusDDzWBw2K8Cl7uuMQKK8MZddO8HrbNeSeLnSQWZYGlA0fgf2L3BL2CtjL\n", "YK+ndY8OdaLZcRNkVbkYoTBforodoXyK8PU3oND/vZAFaYDX1wtZsQYC20ftnhv4fSTPD9wWyUOA\n", "3SO5wkI8u3TJeCvBovS2Epbz96iwd29hskSUDrVCCVaYfqGet5jJdud0jirAS0zrMNn/VwtzNKcf\n", "f6XkWMU9NqjQxgauwNP9d/vU6P8hlloR/2WwoB8bHT8ba46iYi7LyV4r7jIfR0uaLD6tWMKCpe8Z\n", "v4ePomP/aTC2Eu6+Os+yWZdnredc63l+ZHKTxv+bbvCI1cB0zdQpkD7LBWnKMZHyl0j5B08ANonk\n", "JSjQbwA/Dc+y1Zy+oUyi9STRXdoP7X4QbRwALTHLUscVWK+0ao50RWc1ZKH6OnAz8G+0XSubRKaj\n", "8LDbENhwb+Q2K00silyCy0TyKFLCumWQlSfI8wMnRXJ/YL52P7+ZsVAAcJNgUfr4gvO0yWU0ly9c\n", "x1i1ktWRhanihlq33f1Q671pzW13Y8lYD2l8HrNcUSirc14/VlQ26jNw11ca/um/ncMEOC/2/8El\n", "v0ncaYa4iZoAfMdM+hV32d0o0jziD1vWj+3YoC/rKaIvGaweyUUcWa6I1n+WsfLWIfesyZVdds7P\n", "TcqjGRxl8CODeVzuUxwnWyBT1u+RGW8Qcm+dGT3nuUizKgwiVQZ6E+VpnV26dD5YgTRDxvmkGUXO\n", "wTeYS4HdQbXSFEpMBBrn3Z3EbILQtpfiYtjg3JbS4hhdR/yJMFErIUvVhSgy4zkqRJBVZQbwgp93\n", "EXIFrk4TCUVJAdujSFPdrADcHMnLkKZwmJOIqPPzUCgnM/yESm68Xr5ohEVrb4MbCotbnOevQ+li\n", "2jaJNOibOtglM/hvYTF/26rZy4NiGsvBGlSmBI32Y8WIsoY54xqwm6/rv/9xSf8/XnJ+cs1XkR/X\n", "r9HXUrzYEJNyVgRiJ8rZoZQmQn42Or8MYN/Iwhf/5ncGh0Zyolj5s+xfcp1wjb4mItqy63zF4J5I\n", "vszgYUsVy99Hx/9gYlQP8n0G3zVZr8Yb3Oy/mSMeH3cgPOUtKLvDKwgPeb8/44d9LnzZ5avQJvYF\n", "l49GVB4vurwewlv+zeVhwBeBa6Jxszjp5nMB0qwTI4G1InkOYMFInu0lyPtiP8iDzI4HeyAaRH8t\n", "DKqYCPQ3zDyR9m3vyFmp0LnIwm4xRyIL0lgUVXEuYhZ8AU+rU6O8jqi1vo3AiWt1dACWTBorAl+P\n", "5PVIkzcvQuqq7EOUamdWKtQMOS/29/wGpzYYLkXrRkvpYnp8EqHJDYmPLUsX9XhRXtVyBagIxN7J\n", "vw8xRYRVRZR5nxX7aVE/9nyhvxqH3VMXmH2V/361Qv/XC/mvxaC+qEkBmWzlNA1xqVYIEfCu0K9/\n", "MjjEv79jeQqlVqxJn5rS6yRt/4iqjUMxCXhQrHpH9/KhwcVR3Y9HdZvBXQYvWvrO7Bsd/5GlCus3\n", "DR6M5NX8N7uE339Cav34ObCdf/8G8Agixurt//sBUr6GIeXoa8C1CLKxFQLr3e/z/tmIluANBO35\n", "DYrefh4FqjyJoB2/Q4Es9yHA2blIsfszwslt73Xf7XPngihw5iFyd+vqwM+j+xiLB+m4vDge9OPy\n", "AuE+ozl55UgeQAcj+9owp/4Eahsv3i75X2S8iMvsJMyzUqFjkYU9bklAKOilUWTd2QjBGqi9ywai\n", "oV31nYi35DCkFHUq4gNhvhaI5OXwyECXtwOuj+TVSFPHjCTa3c0MBe04/4SCG3wxyQxu8cd/oSmC\n", "6RhrTB8Ql7CAjvS/TaWLMcSw3iOTCC3m5KOiSIRF/XCD30b3EysUxYiy9V0+r9BPRQtfUQlaKLqe\n", "WSth99RN1/Oe5ZGXQVEpe64zLFWYEquP99svGoyFuFQpZxla5C1VrKZF/fC4wSn+/UqDbbyOzuDc\n", "gkWqX+F/40xKcVF5+5+l+Q9ftlTRiu+t1eThsaK8Z2hLvdQ9vVAURF+XL0OWrcHROUvH8x0iqo3n\n", "rq1IXYZ7o8wGmdd/NIosHoYQ+GchRWEMSkXzHYS2XwGlR/gJirJYHynKv0eK247I8nYNSoi+NcJo\n", "X4z4pDbx88/xetZHc/Yx3p61/fi+fk9ro/l/G6TcbYTWsXUQ1GMNBIFZFs23y3vb5/cxuzjiwB6I\n", "3KQLkCqwI0jTi/VHhJytzi2dhdtYn/x7W/F1bbvwrFqIJt6hSFsuAutmFnNkjfb3QYDB7YDTUdDi\n", "cyjCsGQixVD04F8RW/JR/mKOoovM16TJoRcnBTduQ7pb2xo4tXD+Kl3Rjnrt84ktUFmcRsUFu5TB\n", "tw02tHLAeStkhmGRGWzNJfNlBj2EqaIDOfl8ovwoP3aciQZgWsm9P1hYWO92ebjBu4VzZ1i1hS9W\n", "goLF6g/WkbB7St1tjZIp32RwhFVTQgy2CEM3d15XfD9fMbngzITBe9+q+ycF3ZPgnW70Ep//icmS\n", "85bBHy0Hlg8zKXVTGozFWHEZbDkf1Xf9b7AexgrmvtFzLqvz35YqlA+bqCAwuUHXs/ydatZau4F1\n", "hAAUufNipepYIghEm+bmDIWfZggLOwJZxUYgpWdRBANZ1OfvVRG2dmWk0G2GIqc3RqGpuyFFbRsU\n", "FnoYsqSth6xzpyFFbXX//UUIbL4iCpi/ErlFl0X0MDcia91yfv4NCNP2RaT0/RDY0Mv1Xt+aSBG8\n", "wa+3MrJiX4Jc28siRfMUpKhaP7BrwW4H+zfYfxCV0aNg/60xKMpy+rb1Wbbz4rNqKZt4m4ksnJkL\n", "Uh4WQbuyk9Fu6iHqsM2j3dZfURTHcYj2YQG6ES+AFLqlInlz0uTJh+HcUS6vRTVQtX8T17kYWNu/\n", "74SoEc5x+VDd/6AGC0AosRJwsy+CtbAwwRqwtf9moFVjcfa3CKze7cR3tM7YPcnfEcfkhLbG1ojr\n", "LHX7BILLsCiv4/JZhT760JR0eqrlFpVgoQolKxurLb+LlAe4eJk3eoZvG2xUOF6qdN6WH4vvaZLB\n", "6/79yyaXXnFsVEczUrEG7mlS7OLzZxj8pTDOQh8PNTG1B7zT5JL2BMWl3hifYbCW5UnA1yp5zrV+\n", "d5lJeQ78Wo8bXBP1VVCUx1tu4ZxoUl4H+jlLGSxWeb7eJwNIoQn9Sd1i/UitK30RyP0rPgf2QRam\n", "5fx4byI3mp8zJJIzoF+75+8a4zdDtD6BgqcXUozmRlapPmhzvSSwg/fFr5EydJL31T8Qp8cPyGlh\n", "dkDYtKGIzmIDr2dh5HJdHrlDl0esRqMRr+D6aD6eH3kmtkNrzgJos34orlhdA/YtsL+DPQZ2IdgZ\n", "YA81UKzG5+9aj3NXJX3f7oc/K5caE+9nKtTXX86F0c7kBH+hnkZWrOLCEcpHyOT9I2SqHucvV7dj\n", "qfzlj2ky1gG2iOTjcQXJ5Z28nOKTwVIIBzEZ+KmfsziKvNzC5UL02KfRO/6GwU8i+e8ma1bRrTLI\n", "hCE62wQWXsHKFYIhpkW3iMUppw3opj6tgzuaavA3//6S5dYibiEBrgfFI9RxqymqbbpVY4DujRbo\n", "MvdpCL2PqQ4eswhrE8rkrngXyfFkP1G9wR14n5UTdNZVOqfn91m8LzNRH2zh/TLN4H6rFc1IKdh+\n", "hsHlJgU0rvdXJpdgr2j8HWLCYS1uIqN90FILXy+DJ2u0My7xxiGMy3pWp4/82ktF11nIZGGsivIz\n", "vRdFJXW0P/fKBi9YSUcB10V9NB/w20ieH/G8BXkB4K5IXhARcl3v8kKINCzgnxYGnonOH42492L5\n", "xUheGJgYyQsBTxTkBwvXv6fQvtsK7b+pcH8xlGIU8LNInhe4KpLnAb4byXMD34rkuYCvRfKcwNnR\n", "e7Aoim4dhhSzrZHbcEWkiJ2OlNQdkevwF8jKdiLi73sSuUS/jxSz15Aydqm/Y58CdjqiMDoB7HKw\n", "34N9DPZTsBvBJkQDKrgChyCy7naxrSdzRrsu/FkqdHMetpmx+D3Pj8y8xyDT871UuHpKy2QEIL0B\n", "kZ5ugxjZe7eh/fsgTMRYhFeZRgr4nwE8gPheD49+tzmVPFgTTalmlo4WjdcNvhHJn5iUg/sLC0VZ\n", "/4T/9zVFnj1r5Uzf9WkDurifShbvOLXIWwbbWa7wJS66I6lYPG+yfFEP1ojLTUppMWptY5fPcfkd\n", "K3cfWrTgBnZ0DBHbGl3sIs77IihWB1k1LuxNk6Wo2M4iLqyWu2y6iX3dTBQP+5qwehgF9wayJP43\n", "vf5HJs6tYmTe9QZjvJ6RUTswWUnLFJpDrbyNZSX0/R6Wp7SZw2Blq48RLHsX5jApe3tYbp2qWW7H\n", "s0t04zuwL3BJC/NinBarFxH1DbKAjYjkPkT0NchqNCaS+5Fa6PsDK0TyAGD1SB5IBA9AeNAYWjEY\n", "2DqShwA7RfJQYK9IHgb8XyQPL8yHI4DjI3kkcFokz0m6kZ2LPFtGhqyDl/rv+iLsqu0B9iHYBWDb\n", "gt0A9j7YPmAbgl0RDb4AXj/Y5dmK1ezymSv+ssyDzMNHIFDlI3jepxrlE+BxFMVzBjI1L0kX5ktE\n", "CuDZ/r0PWvCfoApL099KyDsnk++ID8zYgV0AACAASURBVCNRAo4wWQIsWsDuNVkCvm2wq8EiNe57\n", "QHStRU3uGaycEyku9WkDuvh5Fqxz003ulzdL2vUvkwJUad+byLXgv9/NZJkr9kH/6Pt9/n2I5daq\n", "87wv3zEpcvE1g2L1rEUK3XP+d/Vu6I9ovJSliXnK5M4re26x0jnYmnMjH2iRcrEXDgomcc8WFdZY\n", "kbnepJyF6ybus5eptrb/hArecoLJXXi31Y9aNKvOmVg21mul/Cla9UZajlec4X26avzbKciK9DeE\n", "+bzC553+iP5lo26Y04ZF8pFEVvDZpUv7usOR94/T3jQ2yX20uyNnl89PQbuXdRAQ8mK023y1gcL1\n", "DMqneDbK67IsTWAa/LyL0Y5xXV9EXkA7wN/6pDwlX5iO8Ql+mgnrUTNZbIGX6RMT4PhnJoVoUSvf\n", "/Q+Kvv/Ccrbr2JIRfleLE8msWdqALnpeEUD62qgNwfU5zeDj6P+bmzAxE0L7PkbRV5YqHwGLExSC\n", "uKzpf08v3Pd0g99YaumJwf5LhjpuQW5ow/NednGfRApNI+tTWYldws2AtBeL7+sCPIEuiXv2SYNN\n", "Cv1YhvEabZH77DUfz0VS28L4vsPgaybrkZncvvuWtNXi672PgM4mZSreqAy0nK/rEUsZ1WsFeiRj\n", "fg20cVsXWV/6IazOdSgfTsjhuSJyc+0MHBA9v05bxxHYepFI3hmYt93z62el0IHI+0AQ2lW8kZ2+\n", "h3Z34uwyuyBz8xooifJ3EMfLpOpFt1KmAxN88j4Pues2QLvtDAHq70NK22DEIfNjxGA/EIExO5AU\n", "mFt8YfUd/WqWciqFkpnwQ/sZXGHCWT3tx4qpT8I1wsKxSoOFtjnagCb6vKb7GkUCbZUvsv2snPRx\n", "LcvJMs3gBJMbKEmUPJkKUWro6xiXNMRk9ds5+s1Qay6lTxXrfFB+73d5nW4ar8MRztCvW4aXes/E\n", "01T8f8WyMz2/14aUGuG+FkNh+O6SLALL77FqID9WYoEtputax9+LlangyIq8Y8FSeLCJ4PZ6l/9h\n", "OXC+KnIxsu4NNSnc8dg/z+CvkfyWpe/C+KbHPLJW9fVxvQnCg76I6AYOQlxTAaQek3kuBczfyfHw\n", "ZVJahsWK79Ts0lJ/thR5H1LaTKK9aWySe2h3J84us0tZ8QlyMAopvhJl1L2J+vkUzY8/hPi4piAc\n", "VxIJSEOG7VA+MXjUF4CiGyMucxpsa3C+CaQds0fPa/A9q5/6xCxVEooL7QST8lGxNnSYwoNyHqrJ\n", "vgiu5Oes6gtSwXpxhuXcSOb9crKVs6WXRsX5PRxrCrUvY1jH4OjoGndZddSaWRnrPLm79hH/3/rd\n", "OD4XzK9dzEn4H1PKlV4meoli2yv9clsTfVakr1icint2xRpj6TFT5Gis4Fa4pyYVF32kTN1d/Rxq\n", "AeyfMbnnppusYIdbTo/BB3juN18gHXPZjFVvBdP7GN6F5axVqoziHOJ/l0XBN/d5H56NQNarIOvW\n", "4TjOCblbOxzsgDBP48lzuM5mVe9YPzYVeT8uUqrancYmaX+7G/B5KnwOQe41+qEfKcDzSFJivr8T\n", "AVJRPqm5EFP8Qij313dcIfgFchX+u3yRrpQX/bxvAPfof4ebsEJTTDvpSSaG9AMN1rZqIsRKcQvM\n", "QBMgOCY9PNLStB3/MgHcG6U+KcOo9LMSa8OniN6ipcmfjvFQbUSFUHaiwQWWRjxOMbnglvbfNhUV\n", "F5X+Vg5eXsIX2BmmhMH/NdFUBNbuxIrxcrEvyC1WXYq1KVxjUN7eCwvPcobl5Ka7ljzrhDC0wzlL\n", "lSPwDq/zL1Zt5YuJSifEdQeFYzkUVRZRaRxm2iQ0qwy9aQrW2DvU/zoKTMnStjaTPzAEalS9C11K\n", "W4MsWysDP3b5aBTqvxawLbJ2re7HriSlb5iHFtyJyCX5p3bPubNqQZxbSUDUIARUH8/MyxvZ9o77\n", "PBRaZKue1QvCNgyI5JOA0ZH8EGlky5HAqEge4pPyaeSYkp0QGHo/l8cC7wGnuDwA7XLGIZbgkN7n\n", "dTyEt7z0Mu3s56hxvL/BF02AZAy5AcdSUVK+4Au9eXnFUvLFcyzHyYwzERo+UmNhqSy411KVkqi+\n", "EtTgeYygwhI/zOAAEx4qXDcoP6lFDEV7TsgX2RkmheZv0W8DXqoll2oBND3M8vx+c/nfoovsPJMS\n", "0ZjwE1krjYi/rBvGeEbFJTzKqt27L0Zj6o+Fvk4VnKi+ZlIERVbE1y2nVTjZ5G42g0utPLigylV3\n", "KcIaRs/vOh8f4bm0nLPyaLQxmgu52UwbhLLf/cHbHeS4D0NAA1N8ntwOOKMbn+fqwJf8+xZIwVoH\n", "Ra39CNjMj/3R2zKHyzsQRfnVGCfx3LYxEeZrdmnq2cxyvJFtb8BnuVBiJZjZB0ST97UYKUbjDGD5\n", "SL6RKBEzAp3HIcWlCwcik9sWAc5XRYrUpYgLZjhSpB5ABHZ9EEfLd4Gdozq+FiZBl/f2CXJbRHL3\n", "CtX9X1IOM2E+Yo6qysK0KAmIeVCkBOxh8JDlOJkQ0RVSn7xv5RQKSf2REtTQAtRwh4aHMEsJjBfK\n", "qSaixrCg/doiK90tviiclC6yFxrc7uc/1uICnFAx/JXKgv57/99gk4WvKbdizXeG3MXWrZFbiNPN\n", "2/NQyf1+04+FXIdmnY3opGZS66cMNvVnuYSllB9V4ysoVpFL/HnLNwgzomcQrIe1nmliPQwkncEi\n", "tr7+n3md/zNxjQWl7wNLE2VfYnBmsa1xeZjcmjqWbkz2jtjD9/bv8yBlKxAG/wgPjEAW8GNxjBWi\n", "nRlZa65DWS/WjOS1iNLkzC51n8kswxvZ9gZ8Vku88A5DSSWLALzj/FizC2QPtn15IkAnykm1XiRf\n", "WpA3IFKcCnUNJk0dsTawjH/fCqXU2cInr/e9Hw5EytUryMW3qZ+/qE94X4jqG4OnmnF5ewSC3x4R\n", "0/0HmFoySZs4drYyuQRPMNjLZH3oa3I9maWs1pXJPkyqw6koCPWUgDj1Sa1SsWS4pao1UH1Jv/8a\n", "4aR88QzJim83cR2Zt2m05Ra2aSaXUcVytRIi9nu1vE0hTUpHo+KCQra+y3Ek4J8NVo/bEsqNjSZR\n", "lGDcgK26+T1ZOW/XPiX3Os1ykP5R1hURndR0r82wHOv1dxPxrJkUl3utzFJGQqVxv8mdF+p722AZ\n", "/03AxdUF2L9VnL+q2/oVk2J1hdfxkUn5DIr9p5Yn2w6WrlOssJF42t+7zYHdo2stTDempPHrbRjJ\n", "ewKr+fejyDFaO6NEzAsjzqpXEbt4L++PL5JaKg8GNojk+fgcw0RaeAdmakhN2xvwWS00GTL6Ej0P\n", "uvOXO1ZOzgV2iOTTifApKLx4Hv8+Knx3eRPcXefy8cAekfx14MDouj9DylFvn+T/hBPiIezTW9Fv\n", "l0FWqdHR/7YmJaw7BoX0n4hcf4EcslheRCHZN1FRtCaagNI3R4/ktyZwbiCkfN8n/NqknEgBebn6\n", "msuZIptqPv6olCkcjX6TWIDOwnfU3qalUaTUtVQWzxmmhf7vUR2PWuqC+ZNJuZRVxRexZahKTDzB\n", "qpPuNlNi/MxxJhB7WET/F533qgnP9ZYJ8H94pU1NjO9gsdq2B96l+3StzBQhV7zfR/xYL8sJOjsd\n", "0VngFisrO5kUqqMMVjKRfeb9R6mCFo+D10yK92aFMd3fIjddXEp5g6rb+g/Lk5XvYFJIX3T5LcsV\n", "Nvy5B+vuSxYRmwbL2OrkQPmvAztG1+3WLA8IcrBMJJ9KngZneZwSxt+fpxDVzGDgLkQ30x+Rd55S\n", "qPcuopQ7s8usWdregM9ioUWSs5dIwHcdMmmSJjJeF1g1ks8FDo3k/wM29u+L+fkjXN6aNAXMKcBR\n", "kXwisH8kb0kU1o4sSKP8+6LAl6NjL/pCFHbMlyCuqhVdXgFZmk6MfrMbzuSLdn07A19FKREeoxK2\n", "npSpCGdzPnL/xczCy5EoGw0fjxUUn9KFncQ1WEYcWa8klowm2/WsiYS00q6bEalqhu/c/bvjy8Li\n", "eaOlzOkfmXAuweU52XLwcmLdKElMHCx0MUg6LM5FeoZwzgfRbyeaLIaYggbK7vM9k8WwebZ5ZDEw\n", "os1CB9+phjtjf+4O8B9o5ZadFeM+67RlmqaiWt80bQ5mmCyLFR61wxC1Qg2XYnhWa5jyVb5k2hzs\n", "YNWBBn38/xX3cRXTdf22vmDwA5MLeoaJH2uf6F14yFJlL9lIrISS/K4YXWsnYE7//hDR5rEH5vwt\n", "iLisEGnpwiXn9fZ5r5ePnRNQvr1eaC7+JbmrdhiKMJwpcxHOLnXGQ7sb8Fks+C7tuOZX7brEZiiK\n", "JXanbUTuHuuLFI0zXF4OJUTeyOUdEY9LWGxPB86N6toPxxK4vAZu4nZ5JDC0yfsehkgMw2J8D1Km\n", "guvs/5Ai9P2orXsBZxbubRv/Phci+bwRWSHKrFHTEfHnFV7/ajRIstzcwhSX5lw4lCofzZBAVlx6\n", "BSUoLh+bcDBBvsNE2pkqHIjT6yJvT8RDFdc12YSvCnn6VrSUT8isVi5CqnAOvS0N6x9sCvVfwuBd\n", "Ew7roMI5YUF/xL/PYYr8a/QcmsuPSIWcMsfetfj+thRsAnypelzWoptQOo8umGOi4IkiP1RxfI0O\n", "174Hudd3o65iZSZF+36TFbFotap5b6V8UDTFGfeJyX0ZNiUbm0D0FxXOq73BQfjKYFkfjoJfhpCT\n", "AvftwTVgI1LKhb8QJW8uzO0b+Pc5kDX/hWgufgDY3uVVgSt66h5ml048/3Y34LNWiEzsE8tnkKry\n", "Pth9+eT0PgJ77+71rYqsLme7vBuiGljf5eMRSWbYXe8M7Bq1ZxncRO1yP7rITO6TwrdwLIsvPG8B\n", "V7u8AbIe/c7lL3h7D4rqOAE4E5nGVweuRrilf5ZM3IZyo92CLGnrEymcLba9SYLQRPFpyoWDlI+r\n", "aY0E8qnqhS62+uxk4sgqtu9mixjMByGLxM7ejhqL52a+YPUxWZBesmpAfW0lhqapG+a26nPi9DUh\n", "MXMcGXacaYH9qVUrC00rVjf5ebu1OCZapqTw382DsHGfIld3Gbj2GJcnE7m2Ozh2V0aUG5G1tq8J\n", "vxRcz1Xj6xmkbGzv72DmbbHartyYyLWfSQEP5/7EREbaOJCCxJpb613Yw6q54nobLGByaX7s1/pV\n", "3K/1oicztIkcijZ8myLQeW9/Xod091oQtaUXqQdhKIqc7BW1NYkQjb4vCHzDv2+OFMSvu7wL8kbM\n", "lDijz3NpewM+ayUsZgNqrNQPgJ0FdqnLPwfbHuxskmjBH+DcKchNt11U/0LAopHcrVQOyGq0g3/P\n", "EJfUbS6f5BPcL11eCkXu3Re19ftEYdIoom9D5Cbcwxedx6m4U5LyIQoH/w4y8y/Yhc+picm+cWh/\n", "g2sMp3kSyPnz42ay9ixsuYvuOJNL7AVLU4pcbRHXVdG6FOFovukL4aMmd+CNJndi2TCtiyeL+q0Y\n", "tRiwaPFi28sUYRnjeGJqiwGWpjW5y8T79aKJcPW7DdtU0u83+Ll7dmw8tB6NSa7MnUANFyKVvIn8\n", "oSOLIU0rflWpgoqK4G1ow/a8jh9WYxyEyMAl/ZmE/081WUs3dfkli6xit9d5F0raXobXGmDVHHLL\n", "m1yTF8T3+yVKqA6oPSf+GW16RiNIw6/9/AXp5kTOhfb1IsWNLg08GMl9qZEnFWG1gjfiIOBXwM0u\n", "n4CiFFd2eT4ifsDZpedK2xvwWSs0UKyeALsG7DGX3wZ7w7+3kpW7bJJtlsqhMNmPIM2ltRzwSDgP\n", "WaRud3lnn6CCYjUSRe09HtV1FhFHlf9/ONoxnolSctQCmD+LLD2HImK9LkvCXKMPa0z2HeOLqnOd\n", "hmHC3tceETjRFKW4hC9iR1tuUXrcBIoPQ6omL9JIhCVzxW5uEwP8f6Lf1ip13S11LH2nmvIsmtXO\n", "+2aWRxNicGKddnxoeWh+8zQFVDB07NPCM+pQiqPo9zv5/56pc435gHf9vBObbVv0brWi+E33d6nM\n", "dTnUx9tZOneI39dNlkeM1qLS+MDv/0PLGfFnmBSfisVpXWrMYTXehZJ7es6U/zC+pz4GX7fo/fwN\n", "TlWAlJVtW3ifR5Fz5G2DcE9B0RqMLFs9ZgkiVXw3BP4QyYNx3qwavw0ux8tRJHTg4zoMQSn2c3lj\n", "YJWeuqcO9MFMH+3X9L20uwGftUIEGG7WFWi0lpWbBlQOT1FF5fAqOf/LCsCrUV3jgD9H8gXAH/37\n", "qr4QhEii3ijB7cORfC4pR1UfnzwPQ6kyni9MaqH8FwGuz0RKV9uoJmpM9l3Oj1KcOFCodYgkmpdK\n", "fsSNDV72RexDk4IVFrHplqZ4yRUORM64PbAAopm4EOFMosWz0VCcZLXwZDTEpr1lOWGlWXXet/D/\n", "X0Tj4NHo/zMsTepcv021JmLkJjOiIIsGz6VFzF0KovY6+pMzRK9Q51qH+jlvtjLm6aTiV6deT1g9\n", "2kReG3IA1qPSeDf6Pt3LmSa6EgxFyP4FD5BpNE82d0+BZHe9cI2pwNvAV72+i6gkVR9m2ow8GdXR\n", "0OLYF6dtQXQy/8/eecbbVVRt/H9TIQ1CL5GE3pHQQTqIRDoIItKLIB0VfUUELIAo2EBAmogoRUGK\n", "dCwUBekgCCjIpahIL4FAyl3vh2fN2WvP2fucc5OQCyEf5nfO7DJ79szsmTVrPetZpwIXhvMjeA/p\n", "HCraZ2D4vxPwk5BfAAfpV7RpjGhxOfLaXt/z2yIB8hjPH4V4/hIHV0ts6nv4rjMdgXafV2BmSwRu\n", "m+kFXs/K7wJuBNE0POL3pnIeABsC1oO8DUcV5SYX5bVwvJbnt8Z3z4gx/Q3gB+FZ5wOPh+uPBdYL\n", "+VFIk/U94FYabNSlNBmZ9H6IzH+L8T7ckTCNO6Z296OYZZFIdTsU+201b5NH1F79TbQHqVvvt2pS\n", "0Z9Z2I2fiTAlv/ayT6BwRZ8ueDJq3fzrgNNm1TEStwljI9XpBRNv0qomkP4zVoQZaiKgbDkRU2is\n", "9umw3zqgL6h7r+J7RWS1Bny/xbP6UYTcObOTMcd0EPxa1GckjYDSg024t0etMNe2o9L4osEvrRBe\n", "Gv1xPwWNSj/gJwQt1jS+k6GNxNyhvP/p+AJ+7Z6mDUm6P3lIthc8vU8GUDj8XIJIkL8XrlmEQDsz\n", "I+am8H9/4IiQX4bgkRiOr4Rr/dEm+JvII3QOP7YcgnMkOpzf+DXren4dAtnpe/BOMyWBtmnI9X0l\n", "ZqZUTNKd0y10U47KjTQOybNuJPJy6u+T76749U+D3Y6ie0/xsv4Fdn4o+3Gw4UXZYxFj8e5edn+k\n", "kbo61P8ItOPs7/kvAJ/3/8MQYPz/0G7o39kHkNLzaHE7BAHS+2QnNAP7vG6hPwcBTtPiuSsCnM6B\n", "dp3/RmSoF+LcX8VEU8V4/ZDJPd1MwseoOPHcBBxICCUU6jfNeDJqiSkfNYXHqROu0mI73K950POz\n", "hQUu1ekvJrLSKSbQ9D55nUbnE3GNqSfFjWwLUK5/r5gmVxwrmWCTBnJ1P/YaLTzQkICdQhZNyMZM\n", "0y6d6ST4Vbx3EuhqqDT6WTWx7UsmbaqZeN7eCOcamKnrwrMWAh6nmNNmp4E3m1py2ZLmMpDgPmrS\n", "mi5qoox43MfdOgareTlPW6CfaKsRQYLLYIr4hycjtvV9wjWrU0GvMIPmny9SxuGuSwij48eGAoeE\n", "/HCC93cYE5vh5kK0WT4/lY00XGvSAqpCh5tTPsAE2h31SV9XYGZKcZJe3wdEThA6GewOsEmevxts\n", "9mLwTPJJdzyF6W4b5CIdF+2OtWFPg21U3HcW8rb7W6jz5oiuYB7P74VwVQO8LnsjT6cHqeaMehW5\n", "BH8DcVp9aMCSVIKJB1vFQh9jFU5A3DRnIrPsbEjgWimU6ULQMJN5Ji343QYHGhxqAc/yDFoY56C8\n", "q83NjtOEJ6PWw7DHBDR/tMUwTM8Yb/JuTAvqq9aL8DWj6R3GyIAvdNCHLWgHbvT+3KzNe2EUMe3S\n", "ZmOraRwz13qfdSD4vVFxrBZ710rbtzPynHNvwf5W0GD8xgoz7cEGy1c88wkLwPnxXvfhiPIlEhJv\n", "TUtqkbpUik4Q36lG8Lze2+Yuk1B1sAmzaAbzpbISzOHTdBC0G3lV70chJA719zmUMqny9rjGrg/m\n", "paNxALvndwDmza75KPCjkJ+Nai37vBRr0W5oDdnU839Bm7kxPq4urhlXVTi/9y2B9nTpg76uwMyU\n", "CMD1V5AmCaRdOgxJ4U94/k9+bFh5MjW0QM5dNQEPDv/r8Fuvgv2AQoO1MdjcxX3jkfr3QQpSzi39\n", "g1jMJ4jjUUyuDFzamNDu9Y9rd0RI+Z4yHL9fE5Vg4j+ZNC0vW8CCeOqy4L1XWjxDmYMRNq1CCBpU\n", "df8DNGuWqhbOt4DHaGBQmlJbPBlNAkjUUP3HZEKq0uyYFULDmeFd/hPO32LN5JNN4P5eYIzmTGXU\n", "Asnr3yum27ycZdu8VyUT+ZWtx8wIK7i9vmWF4NCEA1qovn5mwqvNZ/KmrKsfQ6vmk1aCNQ3hamuT\n", "QLydwRWh7PGm0DQTDA4ysak/mpdVZ6pdu/xO3/GxEeu+tSmAef07eZt2IHgm4f8gkzb0BoOt4jjr\n", "QqbLaF77OeWQOYtSQe3ix08M+Tk8HURZmPwSjmXqg7nqOMo42MPIuAlRWJ7je1nuYsjC8cfY74Mo\n", "r1VxXIU5aoYSaM/wNu/rCsxMCcoega+CjcsGWJUNeVx5IKZJsElNOj6UUTcIv+yDMHkaPgf2cbCB\n", "Rfmb+iDfyT+Ki2ngE5rS00hl/wUU42+GgTff76lYpIZZoa3pMdEhLOXtN9SEVTnVFFLErGLxfJqC\n", "1LALqd8He35D4B+UcWuVQhC9csVvEgTaYhiaF7BtDB7OFq+qIRlNgYll/XPZNT9K9eihsaCXFuPP\n", "KN8pHmfX+G7tMEYtFuaHvIwqwSo3caZ+bcQ27CHTWNAkHP7Brx1k8EAou4QDuqHoy7wOPVYICF0m\n", "QaQyaPjC9J5K4pf6f5BJ23OtFR6f95m8Br9sElT2NPijFaa6SPcwqGIMCiNavNPBViYCvcafdWc4\n", "dqe/b5Ng1Ybo9AJvo6MMLvY+fcBEF9Go50aIH2qe0Fe/wbkCPf87ymG/Ppv3rx/fDjgtji//3Zvy\n", "JupcKqgiZsC81YUErYGe749MmwMIMAKEtdqoTVlN69RVYG+DTQDbA2x+SlCU15CG62dQxga3S51i\n", "kN8vqc8rMDOlOElHjdJ9YPuVB5gN92P30ewRSI2atBPB6nWw3cFO8/wjYKuD9S+ecS9l01RKb6E4\n", "VSci75HKoMof9oQ0Sp8sFqlLTeaGT5oIPZcIC8pTBhdZGXj+VxObdWnxjF6ZWyJz7AAk8K5AYdab\n", "h2p1fS9d8Vc0mUfakztmzwkml3+YBMo6LVVKabFNJsDB1kz5UMLOmNzqq5i9O8XjHBzv64SeocaU\n", "1O1ljGrxXvtlx5+2wNP1cHhGDVh7L792EWsRvsU1jVUamUkG/xfed2NTnL+SKXBqPAr/UtQ3hZZZ\n", "w+BJk4Cyh5VDI51rZe6pAaa4m4m+IY3Bhgl7SvFOPVYeR2uatL8p/6YpXNB16d5JFNqPNoLVPhXj\n", "KMVtbGhJL0R4yG96mUsBj1I2NzZY3T1/E2VHlF/gGir/Xufy3++Seaf68e0pCEIHoVBf7ym9TM3Y\n", "nx3H0Hp+buQRuVz2vvvTbE7s2Jy3VNH+T+Fr5NJgW4C9i0iy7wJ7q6aM3njNvx9Sn1dgZku0CGfT\n", "g4Sj8f4/HY/SOC3UpD0UpsM6U+CTYEv6gN0cbK6mSaWxm/6H13VfBGjv39dt935MCGe2eMjviuJ5\n", "mTQvPSaw7Aomkxa+CCQt1jNWFiS+ZhJqzBeyRqiXsSg46864uz7a5bYlRZ26hXNcxbHWGIZm4WAX\n", "U1iauud1WyEcrOe/B7e4ZherBtWncdspHueLcax3Ql9SI/S86mUMa1Hn+yue/+P4/GTKrBHeXrIC\n", "SH1edq7x7o9W3xvTTVbghuYwme4wGuF9ptr7zopxNdHEhXadwTdMJu8ef98l/dpF/HdHk0B0r/fH\n", "HSZG/dJ4M2nE8jpcYwUW6i2D+U2bl5IA/hodYdAeM2mnvmrSsi5h5XcrpSkIZP8aijV6DMIibQac\n", "GcZLF7758fwAnNk+XJOcLWZHpsGd/P/xhODNfm1/ypiojwD3hvwAZlC8QK/r1iG/IsLcfo1yWLXP\n", "wlSb82w2sDfBbvbzD4PtizRcPTVl9Ibnsa9Tn1dgZkv00n7cTZNHYMs4g/v6tYcjSf9uxOL+aSRQ\n", "VU0YmelxHBUxq2alRv8NIOzM0E5tK+REsGR5Ir/CF5BDTd5ue3sb7xu67CSTVit2Y+Sk+nTql7OQ\n", "B06vYsnVCwV1qYpbqjP3fOTR+M9ise1u8ZxuKxbQdf23y+DZ7Jq0EI+tKWe8n6/TSLxTcezLfs+A\n", "jidiKoXTyeG7SRqV+F458WlKb1vQ3lzafvG/0K+dy8os9A2t0/jO+vg/Jq1S6Xt3wWqqvO8mFeUk\n", "z81fmzSxl5vG7gGhnZexwhS6pwnLdLpf97LJnPe8ifE/CZOD2rzTiwY7+TPTGG149CX6jQt6945v\n", "m4R4DDmS3OTjuso5J6X/IXPg8chcfxgFHUM/YPkwlhJxcjIDDgau9N9NkIb5IsSdtT/SuvUL93dR\n", "1hatBtwS8sPJtEfv4Xw4Elgz5LdApsPn0jo0hQLT2yoFBUKt1aVVObMEqw95okMVaTdljwdqTImG\n", "pPinwE706/tRCRC02cDWBDsE7FKwP1MyQY7nA6BG7YP+iir/XVHYniWBZcPx7yPvmhXUlgNN2oY/\n", "+WLTEyb8Q1vMLxNMoWUmGPzQxNvU0Kz0Okgs0+SKv1/FsXrTmU/oa9HQoHRC3dDPCi3BHjXXzGcy\n", "L/3UFPg31rWdYLWeNQs4X/F7eiVY1VBSpD69O6vzilZNRZDSjunZ79LWXPUPg1X8+tWycw2TqGOt\n", "2mklnzSYJ91jTJv33cRqIaMKWvUxDgAAIABJREFUu7ecFVqr9bPyJpoEsLdNQtJRJkE614hNqqlP\n", "FGaXNwnqjY3AxxG8waY1qDryjFsJYfq+hShlHqNe4OpBXtb3IA6zXdFGZwhlQWk0ZbLRUYjTrz9w\n", "EhLE/uP5scg0uH42PgeE/x8Hzs7KmyEheZCWcIm0Tn0N7HNg23jjthKMHsva770i0H4/pD6vwMyY\n", "4iQdPQLjIDmMkqbqIR+wteFwXgPrqvi4F0eYqp+gMDkTwz3dlAQ3a7VoflgTwhL80SfV0RS7zMOA\n", "I/1/f6TKXxXxUpmwQmZws2kRHR/aOe++Q0ymwRdMi3NyW3/BMpLPXu3E6MgjqirlwOt4rG1w2+1Q\n", "7MZOPMxeKOeraAXGWCGg/NHkst/j7TnepNVL5tKqd5xizXQDX4vP6HgippbPKU/jTLij81u08e3x\n", "nvmLNqq69n6Db1shCN4QzlUB0DviInsSMZNXlJnSRIOPmjjR8nOxnxLIe6CVcVRD/P6dwzULmzRU\n", "MTrAuyasoZmE52dNnoAN4cQ0Fuc2mQ7r3il53KbvCENC/oU0vJiXMZmbn6lp6yikdRxUfTAyie2M\n", "WNn/RhF0u2qM9CAKm6tQ9IPdfO5IgPtFgQND+asDX/f553IU+uiXSKPVz/P/16J+2xKoRXC+wvdw\n", "zmysU2+BvYCwvQZ2BMIOv1jzYUTryXtBoP1+SX1egZk1VU3S7VhlaSFYGdh6YJ8E+z+wMX5/J4Jb\n", "v+JZK/dlm7wfEhKgLkbC0hBk+psPmfviLvBTCOM0FBGeJp6vRWjsYG8yWNsKQSAJD3+1wmPuZRP2\n", "an8ThmZ+k3kjdu1UC1YtNCH/M2FhKodSeOb4lvVApLDXEWKVUQifncRAdBB0SfvxRpGPwsG9JjNq\n", "A3fm/5f2/51q5Y6N31evJ2J/r/OaF8z9rDCfXmAindzOJFjkdeiJ925FRwLwt/z6RU3YorKwWzWn\n", "tKFMWLQ41mXSFEWt0CST0D+xxfhImrKh2TMGW7N36fomU99JpnE/yWTmzKMGXGkKJN64f0pz2fk7\n", "jbOyhrDRNm8Btxf3pXfdL7T1m1YheL7BNBBOIqFnECJL/i3SWv0axTvN+yOlJHDdijRVeyAz3xLA\n", "x0LZu/r57RDtwxJ4vD8/vzbwq5AfQaByQHNXJAzdiuk499NinZpEa01UXP+mFi7T12tIR23U1xWY\n", "2VMni0+4ttYUmKdOqRyGhsm2r9uiD/vgIKRFTALBJ5GmKgJENwJ+5v8/BSzk/wciMOtyaPd4DI1F\n", "92CDj5tMgi9bIRB8z4SrusW0O77Q5EHVU7HIdKYpqnmvTLCKeKMnDL7eYgh1Jlj5c1YHlmlRj7qY\n", "fcvQ0EiwdbjG693f4AiTsJIThVYtrrmp5xWrJsf8QrxvqiZiStrAlKqEortM5rf8eCm8yy9pMtlG\n", "rVzSGk40aWUweQtWm2c7nVPK75A84NY1eK5mTFxgcE4+JoOJdKjJSSMKWen/QJOg+apJO3WkScja\n", "3kTVkD/rnax/+xtsa2WqhtlNXn33Vdxv2f1zmKgUSgSxVsH9ZsFEPF04kXw8J4LfixFn1ecQJvEk\n", "4HUUNqjGtIohb7lrEH5rX6QZH4Z77SH6g0MQaHxlyoLYRsBPQ355YIuQ354yOP5QpkGjRS/WqZgy\n", "U+BkkIKgN3CZvl5LOm6jvq7AhyXROdV/S/B6nu4DWyH7SIf6sSBUfaDCAUyHtl4OF4w8fxDavT9G\n", "EQl+QcphNiIm4r8UQtZyeHBWz6dgx1Ys9FeYwLopcO3HTRqrr5pMMFULb0rtsU1txpTf/5AJCP5W\n", "B8MmLvpT8mNNAh7Sftya2q4X9Usx+87Mjg8tFrhfmXiiMGkTPmdaTGNdD7cyQDoJV6eaFvaXw/Xd\n", "FjBGT07l+Ekkq9lCONXhV94B1tf/YSYNV66V29fEQ7VbON4QYCqFw7o5JTvuAt2nDOb18uaxZm1m\n", "olO4vGlMUqkpq9JYRfb9ZO6+w4rAzr83gdCbxpvJxHixycPwRB/PvzbhtrataeMoWMW+uc+ksYoC\n", "4HBv4wu8vKn75joYO4MQ/9zmnj8XaZ7mQJu0rZCgfQyKQfgI9SZFQ5EVbkOA8S+gDcoBCO+5LyJp\n", "3gEPQ+PPXI0yuelOwKEhvz0h/A5wOr3EaNHLdcoozHn9s3ccAHYAncFlZvRaMtXjoK8rMCtlHTIN\n", "XoUDac14O7MmpEmaI+S/igCev0gTiF9zl09wDc2Jn7sRuDncvxqFefY0yl4xG6AwQP9V+y5tcI/J\n", "a2wzb/OBNi0g2l6899fLC0sUqp4wOKHmuXHRH58fS4vpMWlx8HxvtWlLIRPPRGB0di5oUhJD/WJt\n", "2uwhKxbyiDGabAVBZ8nUY8CPe1nnCpLVmKLG7BWT80HiaUrYsKZ+9cDaHEoT5qzKjLeZScvT+106\n", "9az7Xvd7wxjFpC3MTYOlul+VfVd1mrIKOoh9TTxWk0zm8pe8vXYxaauK8UbJTPq8aYPwtskJ5FIT\n", "jvFI02ZlJ5MGrKQRtGpt4rsm55KkFfylwUgrvEZ5g/eQO8rH+RbAt5E39gCkzfpEuOajKP7eMkjg\n", "OQaZFh9Cjg81Y5FnUOSFsxDua1fkuZwoHdYOz1gQWDLkjwSODfl9KSJxdCHTaiRL7RfOpblzqtep\n", "+6mMBWgwKwjzrPRedsrUeRUG1+j2IUpmpoQ0SN9EO7m4czuHghNqFcSmXBVm4wDklt4FfAX4aihj\n", "NMIYfQ7nkvHrxiEQq8nMcqgJiL6Rl93Oe6vbpgJEOx/lneb2xbuMMGl/UvmvGFxS89wofIzPj63s\n", "77cqYtufKv4ctBs35BjQxJFGCFbeuTfXQxbMOJ4qMUa+0PP9XtS3hmQ1BbpOoO3Urw+bPNSuMWlH\n", "1jXRHZT69QYUV84oCTjtCFxL4X2+3GHdO8BeLWPSGH0rHPuYFUDvUt3/jjS9VYS0eRzKCsqPN6zQ\n", "WiWB820Ty/59FhjqGxQzaoMeEx2DmbRnlxhcZYrbeLSJvf8uK28OkiNJnt62Mn7sLoMv+fFG2zwI\n", "rDWD5ql5kJD1oM8rw5AH4qfCNaPCPDMAaaS2Q/H/foUE9VYmxf+i8DynA4cjPNatwGrhGYsTPJAR\n", "uH6L0LfH4azzCJP6IppL87nzGXq5To3LzmWxAGeaNazPKzArVXTKtHkVtjQ1zgwJ7fAuBdZBi3/a\n", "UR1FmdxuU0Sb8Nfy5DMwX7yMAvA73H9Te3YhioXjkGDTD4VkGAb8iMZiXJU68t56mA53YwhrsW/I\n", "DyhPdsMMHq+b3/KF0xe3p+Kx22nWeLxNTSDVFvVcEmmrJiOzR25aXBtpQ/wZiSTyFZO3WF39LS6o\n", "/8zq2ZiIUagmIwSZ7aDONSSr+4X2Svif2K+vm7RVTf1a4aLfTitXIs9M7zaZYIpuNVfUC20HVNT9\n", "QpMHXzq2Vaz7Q8AulLmUdgU+0/v2M1PMxaP9//ctmGr/izTLLbjYvmDwGZPnYqKiOM7KZr5B4foJ\n", "4f/XvM2r2rohWP2bQpBZmED8+R7OX3P4vLIx0qr/kmIOO5XyHFYl2A7wb2xbRNx5KRKmJtTPRfwb\n", "aeZ/iISzHSi08jtSdk5ZC8UBbBmvNqbhHaxTKyJscN4ZGXnoW2h+/UAKVI027OsKzEo1HTMVXoUz\n", "a/IP/AxgAWANpO5e0Cf7GI5hG58Ulka7tbDodJncwO81+I0JWN6ExUgC6tWIDDDt4oYiQWpB4NOI\n", "VHBVCublZCLxHdeSBhtm/VSpWTHgxhbvvSpwcYvzf0TA2LBYdSLMze2/K1jmJZXVt/cxBb1e5/v1\n", "51Sc60IC6mo0sCW7eD3/Z3B2zUIY36Uh8F2EcFw5xuhQv+an7erq17dY2I/z5y1es2DV9qsfj/QE\n", "VSzjeXraBNrGkKbBqAjoHOreIev+Q0alZ1+/7BjX5X2MeJaWJvC61XyjFXQQPabIAxeatLol4W1T\n", "tMB3AXe3f49XfayMrGjri0zxBucN1/eYTIspf7QJx1XCd8X4eM8Bf6bAXb7nG1Q0lyU81lFIY75V\n", "OH8PQUvdpqz+yINwawSH+AXSPLYyKb6ABNzTkFZ+XeBMpF1rbO4PDkLTIWCXIVPesIoyB1WsU+Oo\n", "FqpSOqy6bh/Yta3PKzArtemgXngVzizJJ9oDER3CEp7fCeGbTgrXbYG0OHNR5nFZwCeo29ReSxgc\n", "aGKBfstEfRDjst1jYRd9LdoRxoX6ZkQQuhDBTJjVuWJxToLb8DBZDPdj18RFJlETzEYwv3g+mv52\n", "o7ybvaEod4R1JsxtmNUnClUjTPiem0PbVAborZ3skJkhaasWy9on14aZvLYid1FK463QcuSp8F6k\n", "ekd/kJ/vCJxMS5LVH/qzDg79OcSy9jMaGqrZrKw12jdcM8qavUKrUkMrF/iZigDArcdcq/S0BeEq\n", "Brt+h8J78y9kCzniYtoz5Icgs9Rs2XUd8oDxL8TtNZt/W8MRIeerxTis2hzsYWVTcG4WHmVyJEn3\n", "nG8ii035A00CWKN9L6MsWB2FCzU+th4GTpmB894wJNgc5vlD0RyXsKCzI2GpXy/L7Y8E4z2RwPVL\n", "xHPWSuB6ByRULQZ2K9hLiAA0ciU+DbZAcc8zNEzecp7aAZFaT24zOB8L9xxGCXv1gQKtN9q8rysw\n", "K3XYUR16FX5QEwJvjgyTyNHIzf/6cM2aFBxUh1AIIIOBL1MWhk4oJunlKxaef5s8hMxkqjjIgqfW\n", "7sj014XCXWxMiBdYU/8Wi3OVa73FCf5sL6Of1zt5Li5E2a16FYpAr2FRTQLVMlZgfqqEud9ZMDVN\n", "QsL57cW9T5uEqgMq3qGzmIIU/E9/94m8Av9T5VGW8xQ9YGLzzuth1o73C2HmjM4CMLchWT3Pn7Vb\n", "1p+/S3V4G9FxmPinTsmuS0LYQv77x1brixVCREP4Odj/v0YAkrcfc1WpxyRcqG0o46Q+hsKwpOdG\n", "rUl/yl6zA4DNatpzJDJLhb6t59oK9w1BWuab29+7vo+VP5m0r5taEdw5MeL/yETce1x4/1tNWK3G\n", "huZ/1GjhgHmRNnhTz8+HeO0WmIFz4rYEzCcK0L5dOL8gAZ/Vy7JXQpv2xbzccxAG9RFcqKpKI8CG\n", "IA3W6WDXgv2GkilvbZDWqgfsT2CjEcG1gd2EuK6qBmjSco2nCXv1gaFZaLRvX1dgVvpwJiREDPFJ\n", "vQsF+twIqeOTYDES6PZrtyPEOESeLzEo6OrA7/z/d5FAZAUg1gz+5b+TTFqriOd53oKg83vcRIfz\n", "V7V5l2lkQOctCiExknOuibO/VzwzLKqvWMF/lHb7j1ohzD1qGf7nFaRdcOFskJVDyfTU1Ld1TEGf\n", "pCd7Gof4wDL8z14Gu5o4ts73fkjasHmsdZiYUpuNR5qOKo1VAoyf28E4dOqHwVYt/P7an7dhRV3i\n", "gj/CmoX3GI7naP+/Z3bNKzXv2Sh7PwqM4LlTN+aqiFcl0FPmvZob+EM4fwqZ8wLiV/pUduwgZIYf\n", "Q0PD1glIn4eQ6T7F3NsTaaq3QbxObxV16WfCWkVOq0jYeqWJxR+DzU0A+Bj8/GbTxiAFquY6JLik\n", "724UCo3TP7zXQimPIjE8D6yT2n8Gz5f90abyQjRPJqeBQ8I1CxC8+XpZ/iEUXFxnA7Y12Elgu4Gt\n", "Tom+pynNXvx/EuSh/kLFYLy3xUCNgpXRhL36QFln+rwCs9KHMyGqgCMRTmgZP9YF3IJ2h6uiHdkQ\n", "P/ctYNFw/wCEseoC1kP8MH/3CXLx5kXnXYOVrKAk+JkVVAMvm0wkd6WPeEJvJs5ica5iQP+VSZhI\n", "+YtMbt8p39DcDPWJ8fF2z65eVF+1ZpLNWvxPYvJ24WwbEwYnr3tVqufdQpw9RsEBVoH/mWICGPeY\n", "eL4e93MpzlxdYOOm59+BTL2rVNRjb7/mog76bp3m9km8UvcZbOLH2glWVVqjN0M//MP/DwrjboL3\n", "/yOtyh6BtAuTkblu7fZjzkymy1M6HRMx+kM/RAmQPLQeAsaE9loRFy7CsaURbUAIK9MxSP8psrh4\n", "XuYaSAttwpzd3WZcvG4CxifM2Mrh3GOmmJwNE27CUj6GU6kgYS6ymS8G7BTySyBhLAlilyCT5gwN\n", "CIw0aUMRL9/9SMOdokLsTgh9Q4U3bgflN+aWW0MDT0ZmwG6kpfoe2F5gy9Je4Foc7PNgp4H9Aex5\n", "pM2KHZhMgcOzcx+0UDaNduzrCsxKH46EzGk/AY71/wP9+Hd84VgYhYtZFglNRwHrVpSTTKIfRarr\n", "9ZBmZ1OKna8vOv1MwpKZ2NC/Y/Bzgx1M3Dp3m+KWnWICs0+ydmammncLi9y72SJwtRXBh80X0eS5\n", "1xMWgoYJtC29Qf2iOtEKuocISk6mwPsswye5cPaAiS7gtTaLl1kdkahP9FM8LcFU4X+SNuwqk2CQ\n", "a3O6rRPeLxQqxGghWNExRcFa/rtKVpcHs+uiZmZPHwNvZudTwO0LwrXXWnPw4RJHUxoXJ3r+74ho\n", "so1gdayJD6pX2qNomlubBlcbrxJCpIRrBgBz+f/bi7G2lYlfrNP+bmAMBwCD/f8wpK02eQPubPWa\n", "VDMR8R5hZRqGftaMw+Jan2ceRJxRSVAaDtwZnv8lAtUFwnHGQMgnEohvUWibDWbwnDoQaTQHIA3x\n", "N9AGM73TzwmYzN7MZTFczUsuHL2BtEm5UNSDtEsDizb+B8gcSE2aG4Vo+yzYD8G29+P7ZWV/0IIv\n", "N9qxryswK83Azp6BOC2kbTreP/StkYvxKOR5sjkyA45CLMULInPC7i3KG4CI8LZHQtVPkUfRRuGa\n", "zRD40xedgVa4eq+YfdwjDC4z8e2cEb7lqRKsggbpzyZvu/9ZsQB/KZR/k9WwT9cxZ1eZuioW1bcN\n", "tvTyBpuwPFWmrcb77VwuI17zjtfTalJlTMHES/U4CuPhQkvU5DxocL2VmdJjSovijia+ohhTsds6\n", "5f1CmkwjaCCy8x1QFJSEDpOZKdZ1/3BugJW1kH83CdiPh2sONwUgxmDjcO18Jk+1qnZoCMCbITPb\n", "E37sJNqaApOmqlfao2uzdpqLEi0GPyQI/ghYfR4NIRpT7ME/tHhe5XsmUtodgTOav6kHTN6iz5rC\n", "8VzeosycOBRDJsUrkQNMgh5Ep5DRyNT3h3DsCOC4kD+WstltNWD1kH8WuDTkp8okNw3z7Ui0yUx4\n", "zU+guTUSvJ5NC+qOOLckwepesH0pa6WG+bH7ssYPnoDrgMx4d4JdD/Z9sH3AlqK1huv+ik4N5c5Q\n", "7eA09UdfV2BWmgGdXO2Rlcgxp1e8rP7IBLM0EqQGIy+2cf7bhdTY43wC2Ak4oU2ZYygEpW6/98pw\n", "fnYCqBxx4myBFtZINuepy+ATpkXyxlaTcse7I3+vu5CXlAkEP19Y7CZbWfNyhhVatKaFpaN+omlR\n", "fcMKAPtcofyW77ei/leRK/7TF8g6DUFZsPJ+moS0VUsiM0q26PeYFvv9TQLWkaH8O02mt1S/oeHc\n", "YyY3/QYY/1Hv30HAiJr+2NOvvaSmzzqkKHjaCpqFfuF4SXPmbViFDXvCCo1JimWXTL/puZP8Xdfz\n", "86Wyx/v7fNHHxqZ+/B2kFawBr98bnvmAj8l3KuoX37MaO+fPPyJ8T3dTNskPpET2mgt5J1j1t9b8\n", "vXlKYyrbPJxjEl4fMtjahLfawcTM/mZWbsO8viwFOH8Yoq8Y7N/rguEdVkfYrsQl1c/f+SeenwOR\n", "AY8O95xK4UiS6CLGeH4UghNs2Ydz/hb+Dhd5fnkUIzVZCvqhEDn9s/sac8v62fxZRfeTaBSCZmkK\n", "wTu0ijy0B+w5sBvAjqbAUS1cM0BnCVaz0vsqUWHumJ5cWGgRnZ8CTHkK8i76kp+fHZn9DkMg1Ws6\n", "KDOpsX+MAOunetkp1laMAfhxtIteA+0oH6NwGw+Ly6dNHDdp0n+hZqLvLG4f0vasFPInefLnRYDt\n", "qQbHVDyrtICul/dTB1gYX8z2N2HHMFjAxAhe9W7l9/M2dXfrqQLcN4RPROhnwC8838ZM9YoJa5by\n", "b1lhHk3vPNjKHFAl7cNtCE9yTeiDKqF0Es1C6QZFP3ViotwjPPs+yzVn1GqNEn9TpFtYxoqQMt/M\n", "rj/CpGWMBK6VOLYL/NzN1Jpb0zMP9zI3sjJxZqpf1Gi2HvvI3J68Bl8Dtk/fa9EGAyra72FTXMJd\n", "Ks7F/m4K/L1wMQ7ye/5qZW3iYBNO8AKTgNsk+M+BNns/9/xHfM44AM1RuTB5Opqzlg7HvoeHgUFY\n", "yM9QQA+6PJ+A7iOQA00Kp7UFMsvNcFMWBdfezxHsYrdQx6+H64YBy4drDUR7cDjNxJ8xHM2KKNZf\n", "GLfX0kuS6zry0FmmwFnpfZXiwO7k46ADvhCfQAalCccn+c1wIki0C1oBqd3nQcDUrnBvq+DTH0M7\n", "x3uR9mtTtPO5kAKcOZ+fnwcxQ/+CpvhrTEQL7xnKDzeBWs+vmdhTKgk6K2d1mx1YOOR3JgBu0W43\n", "mL/iQlfFW1RanG+kd2apBLz1RTVhqRa21sGeuy1ofVbzemcajz9YEYakLjVp2RahCCK7LeImaiNY\n", "HWDwg5pzyW0+T7WC5miahNLKMtK1L5ffuV3qCWUsZxnB5XbANdXlPWwCviftUeqnBKAebWWt3MJW\n", "CJINfFw+DpPW9yU//2WatG89Vnj/VQnMVR6Cw0zm19YLGJpTfhva9Cw/Ftq96nnf82c+axKw4hir\n", "Fay6aHgF5u/xssF2BscbzJ/1c//0fwLOHI/jpShjyBYDNqGAFcwezg2h7HG8t1+zrOe3QCTBW3p+\n", "BJoL01y3LHBauP+TiNphfs8vR2C1n4FrwkJIqByEgPf74hp/nC/R/98O2NK0DlUTKREG+G8w842l\n", "Q5LrVuShs8Drs9L7KqWPo10cp074Qnyi6Yd2bQcitfds4dyz/rE+lU1etUBshJmaB5n3RqBQEhsg\n", "779tw3XfQMDS1ZAn4b00aaX4NxISxiMt1sJI49Whyaeshaio6+7AN0L+q0iTNgaZFg5BC8FIGvED\n", "Owpn8xASrDqoYxkLg8DivvAMsnrzX9P7PUABLr9cx+bwa/a1gpKirpyy8ElDgOVG5K7fjTQEQZMz\n", "3mQC/T/Twn+qyT3eTIJnFDAwGmSbHQmaE5qv/a2f2yi/NpDs9kZLF7UjjfafF+GPTqMhVOT912Ny\n", "iljd78uZzwdZs7DY0NJVjcOr0IK1h1/zOvKADYzniacqF2pfMVgne1at1+hCLb7bLqTNScL0feV7\n", "c63w7d4fZhKobjeZmc+1dqZ3SoL/mSYTdd43E0yC2zHWjKOkB/iTf59jQrlzoM3XXOHYRQj7uSew\n", "cfa+J1LWTs2BTNJzhPngHNy8iDabF4cy9qIc0Pw24N4+Xh9GAvugzcZHgB8gT+zVQcLPQR18HJES\n", "YR2qBSEKkusGKe0wBFTPcVoxdVOiW+h1kPo+bd++rsCsNJ07VB/M7dB55PEqvhCfQLZCJra7EXZq\n", "dj9+vX+QV/tHkyadOXpRzz2Ruvx4YJNw/BNoxzcShY+5nQYjcyNN8uO/98k3YSiWRtquAUh7UhNm\n", "I716paAzJ9rNXh7qtBpwasgvhBjfV/dnHx/aoIJ9ulbbsj4NoaC3nnO86L9v63d4p++3NRJEs/r0\n", "Xvj0CXkiWsDSbj61Q1gUnzXxVv3MF8HoLHC1wWf9/2Ft6vOMiQndDO43WMqvHZpde5Uf/2RotzFZ\n", "f1S94+NWBABOaZIFVn7D6Q6ysXx9fZ1vMwkWadEfmpdnQcsS00Qk+EYz5iIUWKQ/+XXn14+5VIdX\n", "TNq2JLjNbuXQQU3C6t9or71eHWk9/J6kZTvc4L8mL8rcM7DHhPkaa8IFJi9JrifEqgvPCKbOk60c\n", "niams03elVfGtryTZpzlw2ij9g/c7BWeNdDnjbV9HtkDbRZzdvllETt9hCTs4f2QYg4ORVrtpME6\n", "guCYgzZkMfDyE8xgj8KKNWNzZF7+GWA7gr0eGvk4RO5Z1QFJmNqD1qY7H7c3QHttWDezCEJnpfdJ\n", "oiRIyNRXN3DrPg6fkE5HZo75kQD1FYSxSF5+S/kkNIoOwyv4PVcg9fNRYdLZAPEf9fOJ9I8+8eVB\n", "bJ9Hu55uYJTf+23gQP//J+CjFc/tVNB5mMJ1fAhlV+sRaCHZwfNX0gb0TwehiOg1c7aZ3M4b5U3O\n", "3qHV+93mfenjIy2Ew6yIvda58On1TyzrTSBxavE/r5gW3pTvMdE8dIdnDPV8/u7PmnjBzKRdOy/c\n", "E3Ft1/ix9WrarU6wusTKVAhmCvGzQGzHJgAtLQX4602L/gFW4fpf0W+V19xIc/y+JSkYsrfPxpzf\n", "l+qQPASX9L64zqpN1J2x62ff1r/KdU1EqRMryr/H6/KW929Dg/dbAvmvl508Yz1sUxRanzWR3say\n", "S4L/g2g+OQTNN5fTzCb+CBKyVkJa+Mg0nwKsD0Bz0dxZ3SJR8TpIsNrD8/N4mzQwVcg7L/Fl9ffz\n", "84cyrqXAbw1Cm9m+wGM18HJfBBvrjfsC2N8Q/1Rq8J+A/df/5xxUrcDm9BJ7xayQNrNSXyf/QK2f\n", "D8o4YKvSO2CXgv0c7NvFQJ6AKA02Rt58eyH808LI7NDkiVVTl4HIrDcnwksNQGFrFkJBPgf5uVMR\n", "N8/L2cQ3BbFAH4V2kV0+UT7n5S9P0B7g/DMt6tNS0EFCYxKsBvjxtAP9AorbdRq9JN2jhjohTmLV\n", "ZqkXTRiSyB59tTUHza0KD9P0fof75O4CZlrQljHFTzzJpoJIchQCv/cgnNFQsvAgNJliuw0+4u8R\n", "37W0KHqKJJ2thnHScu0Xjl3vx5JgFXFHCePUG1PgaqleDYZ8f79PIAFnfWoF+Ca81+00PEgxaY+i\n", "ufNAg338WPQ85GF/Rhfa9AxAYZcMaS8jRigI7NFDMAq4F1q1J2Nrdv2KsR2A66mui4VnvWuK15c8\n", "9ybm/f0M2rgsgwT1T6P5IDohTCnG7WEmjWcKHdQk+D/iY344mmcSYH0oomf5JU0Bx3keceytRrOW\n", "ZSjS8h6PhKbNsvPrAZ9+2xzbAAAgAElEQVQI+SEoHFdy4FnGv79fh2t+g28CEaXFJhQeiaORiXe0\n", "52fDPflmwPpRolpIGqsvg30F7OQwUE6mrNGKrOntvPiqvpXp6VT1fkh9XoFZaTp1pGsIRoSBWrVK\n", "PAN2B9gZiE13b7BbwC6nROj2SeTptwQBm9BBHVamDPo8DAljZ/gE0YUwVQ8i1uBc4/KcT4rb+WQ7\n", "HO3u9vbyBuOxuhCOYeepaKck6FyaTYi/pwB1L49U+Ssis8AoOhQoe1GPGoD3wyYhIS3IKRDxxdmk\n", "ExeyBD7exarMOWgRvru4tmqhNasOGj0s1KVklnJsERd7344lCyFDEZLIJPx9zrSgPxOed6CVBYgB\n", "1iyM5HEEY0o4neFWYLVO92MbeT6Glokec5WfSEVaNNXlxuz9rkQa1/2Be9DCWyXAT/DxljSVYVHZ\n", "sOaZn/D+LAmc1/p3/jfKQZTNv6dUftAWJk1dfN/DPR1j1Uz3HXvHhjF8T2wnk8B4oIko9WyThqxJ\n", "CDJErNkfacf/XH6n2ax+01Ap+D9DM1XJrUjLPhaHHKB55JNIU55v6J71eqxL4eU3FM2FH0UbvSXJ\n", "TIShTa5FWqwkKG3sx1YM1+yHz13IEtBNEJ6Qt+Iw/38U8MgMWkOayEFTeg7srhYfSRKK7ivasa0X\n", "X823UtLqf1BTn1dgVppOHem71INoLVidB3Yz2M/A/gX2HbC/oJhQg4vB3RFfCBJSIhvxGUi4+hOO\n", "QUCL670+weXYnsl+7VeQENOF8Adp0umHzCBz+cT7O3oZ2T3UbVvggJDfEdjC//cHVg3nlkaC1ef8\n", "uumulqe0KE0xma82zBaK9U2BZi8ycXB1srhsaEV4GB7Ox4fISzEJYpVDxNq54iPtZdJWLd/mPddA\n", "5uU29R5jZQB+jvtZxgqt1CQrhDMLZY03eClrP7OyYFWlwVnTBLb+hzWHl3nCAm7n2y3ecxHKceai\n", "pnJLCo4jF3qGm4TILoP/VPTB770uJQ1SRf83UVJcS0kjkDScUUN3u0mD9GtrJidNbd9+caRpc/Ca\n", "SSDsZJw2xvNQmkyph5t4qu41+IbBt7KxUIIJvInwaG2exx1orsmpFQYg4eccCtxiSs+jOW1TyoLP\n", "j/3Y0TRrsAZSCGT9EVxhMwpB6VxcOAtz3KE4cadfH2kQliWEuUIhbPZ4j9aQhgaynbUjpmgKPLRo\n", "u469+KjR6n+QU59XYFaaDp0YPohHkcdF/nG8g0ISnOAC1cfBXga7KPs42k2m2XOPQ2rulcLC0YV2\n", "8BeiuH85gPQ/PontQAXYHXgaCWFdyGw4KJS7ei/qNhcemd7zy+OClOfXoFDHz4uwXf0QA/x7Sqaa\n", "91kZWJ12+mkhPCNbINLC08pTbhkL+JV1y89KprCPWzUOpio1ETkmbdWfqQAd17zv1sjU80bz+1xj\n", "9QSWEfezlB97zhSSKF0TBavbQtlj/XxOQRBZyZ8yaXXeMPiNCWCfyu22TGNy5lT29ZzIXNqfkpku\n", "cVp9t+K9DzNY1v9Hlvfo/Zg0dJ/JxggPIZOSe6jWYcoeNpmaq5jMG4LJz+rGPRKIJhftmtr6DKvm\n", "IBtmIs89Mx4/m0Y4nKGm0DRmEqreDmWmsdAA/t+ABPyMqiRir5pA+f/w+aoLODgfuxTB3k9B9Aix\n", "nuO9Lbai8Ihe2uvwQwRtWDArbwhwcMgPRhrOyymEr0UR1GAJz28PfDfcszBlM+/pwMnZPDbdTIVp\n", "fE4NPvczfHC9+KZ36vMKzErToRMzFe6+PrjTx9EDtgISrL6DgmnWfRy02GkgFXcEdQ+jYIb+JlLh\n", "JhLBlCYjQemrSJWeYxj2Rl42icV4Xord2WWEsBEdtEMMtzEaOCWr+6n+P7GlR26qkTS8u1rufKfZ\n", "7o+0GydREjo/YoplGFnav5s9uzeUDKPTffdQEHiG98rv7THxWLVlW1+cAgj8W2SyXZeKYMj+rslL\n", "8EREF7A1jcDHCehsJpD4bw2+UPNes/vzc8xVbgo8K7xnjO8XTYCvWOGl1xFg3z0vC02Cv9MmyAy6\n", "bz6uK9oh4QQDru4KL3/5inZ/zdOVBktU9P9EgzX8XV6zQnho8DpdizYmNf1tJizUpw2+aKJAuLmq\n", "v2N5kUql5CjTbFq934pYhcNMsQvv9Hoflpdt0mD9rqaefzWxx08xmS8bpurbm9tlO2sOKF4C5f8D\n", "CTjn4OFfavqrC3nJ3UsTQJ/xPpZ3RObfPZBg9Yi3SyUOk2YahgX8ngvCsQFIIB7hY+tl4Khwfj0c\n", "aO91fIkAaZgOa8kq0LlHeTeFMDUmjJW+WAffT6nPKzArTYdOrIjvlH8cEzv8OAg7DcTXsmPIL4Qw\n", "AesCv0bEe3+gWSv1PHI/3pFmb6Yu5KafMAi7+LVzI/DoNvHaXrTBQIRVGO754QhXlEI47J292yiv\n", "y3z+Tr0m6exlH3WhxfUSmrBlQ6xM7tlj8NVs4emEkqHHF7Dh2b0pJexSvtB+2cQtNcTqtViNhTZp\n", "q34T3m1bgnYwHL8cmWA2RQDvuX1MudZm71D+JBNgv8o0ZVYNUq86fnh439XDdbkJ8FXrELBvFFxd\n", "38ve70J/p9ORo8a+Lfr+AqS5Cu3/rhUamHv82HNWFrL2bNH/kdfpN37dcAvkn2Np6SBxhSkkzBUG\n", "u1kRhDuGFjrMqsY9DVPjmBb1e93K3pgbe9lJYN3LxGyfyl/R+2WKwYlWCHpvm2ga8j7HZE6Nz/2n\n", "1Xs8FqB8JAh9HuGl1qU64PsKYZ5aFm2GHs7GxgQkZO2GtOQ7og3m4lRgQClDJz6LNFgJN7oeMi+u\n", "E65ZhoLeZIyPuWXC+euAtfz/aJxTcBrXk9pwNDF100wQygfUi296pz6vwKw0HTqxwjY+zgd6bz4O\n", "/6BiDK0RFG7HWwPbIE+b57LJZQraeR3jk1YtDgqprt+hYGuPXlZjCW7PHbz3/xE80ZAJcm7/Pz9l\n", "U+Anca1YVsaOXnebloC1Leo4EIW7+Gtor0nIO2kNmjznplhB8tjP5NlWpRFI6c8m93Xze0+ysmko\n", "CoqHWaH5iQvtC1YfGNksmALfpBEGpwjp0+LdF0JC/8rA8flY7RxA/rIJL5UEh/9aM0XD/X7txuHd\n", "o8aq2wrAf+znU00aoUjeOcyCMHEdAhMbIU5lxbvOTQtsIjIxzatyomB7qD9nPxNP0zDv03R+cz9/\n", "WJs26jHYyq9taK3OoiNKjx5vj3v8NxdWm8hpMyqNVgGfe0zBp5NpMP2OMwnRL2bljzNpp06xIpB5\n", "ntJ7YqKxSMfvtTJNx7UmHFnKN2EF90XC06aIjmS5Fv23FaJQ+AriufsS0rSHujAJab0PQkLSroiw\n", "eBQVm0TkqbtcyI/zOW09z/dDWq2Ex1odOYvskc1rCS4xBHmcJjPjKrQIbN/iXUcizV6nlAhxbHzo\n", "hSpTS/V9JWal6dCRAbzeA/YKir/Ui48jkWM+hLQ4XWiX9gXkMZfzSr3rxz9NYDCuqdsfKIeAWQBp\n", "lOZEHoIDOnzHhSkHXf5kmnQ8fxgF1uszBHxDVk4Dq9W8SFib1Jk7Olpoj6aM1XgFsdePCtcFk8rw\n", "sMAMNJnG2tEDHGJl08cjplAqSTDrzq6fGq+4xoKUTD8PAp/psM/mQKbiwZ6v8IZ80kQmOcG0oOZm\n", "sR8ZLGSFNuk4k5k0tVUkCJ03jNEl/Vh3uDZhvJIJ8LcmgPT//NkbWtD4PYRMLft5/sVp/Ea/QsOM\n", "mvrzPn/WXCYNVtIambdDEoQftTL1hpkEh7+YMGpmAvSXsE1vdDa+f2XSnJ1scJoVms37wzWlcX95\n", "eQx1YlrdxQrAepfBTlkdHgrt/nsrYhu+btLiRWeFu8M7xuec6W3xmglv95DJ/Bjr0WiXHJKwCsJd\n", "9Y/jNfueV8iOfcTnpIMRMD7OkVP82G+R4PZTMqB7VlYK5BznhpuR8BY17R+lcLr5sd8zr+fnRHiv\n", "NLftA9wc7q30ZMzq0RRfNqUaSoRJyOLwgfbim96pzyswK01jBxbBZ99Kg30owlndQqG5avNx/A1p\n", "F+ZFHkyn08z1Yshr5uvIZNdKKzWMMgHeeSiUypxohzhHODeqzftFjdY+wF4h/23g8/5/LPCHDtqr\n", "yxeG5IUzFSSdTTvf6NWyHNLqJVyOIV6ez1ED9PZ2yfBdA60ATtdhZF41Lb53GtwajvdYIYS8YGU2\n", "8WgSe9wk1Jxs4paqApBHrVADW7U1vsgQgs1m7zQXMn0uiDSJv/L7KgSrTb0ee5gY2vM6vGwSINI7\n", "lSgaPKTNCIPPh7bDZKZqIjcd3bxwVJoAb6cwe23hx67L3nF9tEHYgBbajnB9Bl5PfZWEkhxEHr0Z\n", "v2jSrKVzF/q5xU1CS+q7U/L3GEqTVjRv37tN4W5iG29ecV1j3LsXXhRqOjWtLhT+f8YKbeshVmjn\n", "orl3P9NG4eSadrnBxJMV6/lFgzlN2LWn/NhEkxDdcEaoCvp8iM9dPwN+0qIfByLT7v0EAQzhrfZB\n", "mNLMU5EHEA71DmSGXIUKZvKsrJ/6mOny33EISpACKy+HyEQTQey2BLJeYCfgpJC/mxYOGFTEl70c\n", "hZ4Z3rwWGPBPZmmoqtuyryswK01lx1XsLOoCXN5S8XH0K/6/RDMrcUpvoUDHuyDPv8U7rNvtSFBo\n", "8gxBO6q1OixnDYL5BQl0x/r/2dLE4/kB1HBN+bVLVxxvQ9JZlxo73/E0exDGdC0CrLYDNg9D2j9D\n", "msC3yuVUCVb/NhFJXmFwk8ncEjU9aUG73prNSGkBHG2iXTjDF6+cK6qk6UkA3t9mdd+e5rAfI4En\n", "UcijXb0f+6MFqUVw3TrhrtTmefuOzr+DFn0xZ6jf7Z3egzA4BtyRveeZCPfyWaTVurpFHy+GTHMV\n", "GqST/XlbeP5eU1zFKEC8ZAoknvr4LZOHHVYOaD3ZAqGpUUlnUKVROtQKAXQZkxNAqz4YXNNPd1hB\n", "6RHTAINt/d3OtrJZ9g6T4POoH4ucZHcaXBbKP9KKWJCzeRvFjUOPib8sPXcugxNM2rf9rE6wyvpq\n", "IPIeXBKRwK6Rne+PYBH9wrHcw3AOHxeX0SxkPeXfx4Y4vqqiDnPiQZ49vwLanGwWjs2NO/f49X9D\n", "wlMKL7U5ZYzsxgQTPtKmxXwttqoHkX+O54MfbmZGpD6vwKw0FZ1WsbPIzXyH+znAlkDRwx8F25oS\n", "EWi79AowTwf1GUeZWXh24FP+Ia+Da5U6KGd2QjgHXxS2C+e3poyb2oU2jOt+3cbAjyuO15B0mk/Q\n", "19UsHmY1IOc8tcUcIM1O4nn6LwWfV9KAVQh+/zTYwCSE9Hj6hBUA+CrSzJh67RX397A4dCoUJ9Dv\n", "OALY1o+5dq4TLeF40+J7SKrLROQ4sUpW5lhEmRHbfwoZ2SAlIWMOk1bji6YF/wmTF16To8LH/P9z\n", "1GhYkadZ7beC8C8fQ4vygzSEiqdNmLEuk+n2BZMwsZFJo5h4qC4weY5G4fdqPzfMZC5Lx5PggVFe\n", "eDvQ1C1oRQzGE6yMUYrjvkqwesVE4xHLq4oMMM4k5KTnDDAFZY7l589N3+SxViZNPc+KmIQJZ/a0\n", "aUOxdlaPxVP+jbp+DP21N/Le3Qp5Bi7W4todEf1DJT7Uv+PtqWZ9fxUB0o+nNWfYrsA3s2ceQ+BW\n", "Q5isOf13JYTX+h2FA89JwMf8fxfCa432/KowbfFlZ6XQX31dgVlpKjrNJ8ilXVgaj3YUadBPDIN/\n", "tA/+rprFfyDYliiA5mfBrqYslFHj5UHZM2Ul5L58hudnC+fGABu2eJcxFPibRN2Q8rOhHV9SfX+P\n", "Dkwufu3itMFu0VKw6vYF662Kc89ac+DcUSa6hDutUw9ChDV7wq/rxrlssmsqTJVTTJ5S51ohOEUB\n", "qs6D7kdW7O5ftcL00mqh5VqE5TCkVfsHHYb1Qd506yMzSyRYDFqb80zYoutNQPK8rXtMsfoa2KFV\n", "kFmlyRTtC4chU7YBz9Z9O1qcu00Cy2WmxfhKk+bPPN8gWv0DxSK45zR+u10ojNNjKjMJtslJ4UdW\n", "zVB+uPf7zQbrWuG9uY2fH2fSOk6xjM7ggaztx1LEePQ03MfK7SYKhr38+GImM2Hsjzg+ojAehfXo\n", "MDHJz+eetQO97N1CebtbIYT9sWIs3GcyWQ4J9yxhhRdgj0lAjt/ETSbv0NKYvhdtFnbosM9WR1jT\n", "wcCX8/EPrIW0stHjr1JIomB9PwdZC2K9XkYmxg3bfWM+hnYK+TmRcLaP59dGONOosboSOCTU4yZc\n", "c4c2K3ZwB0JVSjlFDzMh0edUf+d9XYFZqZcd5ovSQISlSh/lMISr+hPiE/kd2P5go2oEqiFgHwN7\n", "MXwoN4H9x/8/Tb26F5mu3kX4maRdGohUz0ORmrstUNLv+w1ljcLNuAkRYagOncp2uoQabqVwTWYK\n", "PMwEnE1Nkmt77jTx5EQW9DVMzOg5TUFrD0JkwvonhVBVpwkJQsgTJs+xNUxg68Os2XOq2woQ8B+z\n", "c5eYNCI9plA5XzFRLXwyHx/jKWIozkdhmlwVN3mg3fzt+QSKsHo7IRPKaORZeh4ZHQMNAWe4SdP2\n", "JasWrLothEppaXZAbu+GvLKMTLBi2hwVDHg9K29tpHFcMC5gHY7POVFUgaztqxj2Y53vMIHt09js\n", "tkLoPNsyTFyKdHBk/bi/LxvnT5hY2ef0Mk6wgnSzYQp07WUU9qs8A183CVtxc5J7AJppgxAFtiGh\n", "ThMNbjE5XUTPzXhtt197g8Gu2Xj/tpd1kWWboXd8jM+NNDytMKOjEJ3CSOQZ+P0W1w7xcn/RwRhI\n", "rO+nIeLkWL+XEdShxPoe7l2P4DSE8F4rU+Ya2xfn6kNmxE8B3/D8YIT3GhLHQ7J8fBdsozYfSCCV\n", "roJETHdS5Q9S6vMKzEq96Cx92M/ED3A2sP7ZZJNrp0KomgkgbdQTYOeCfaHFh5Ope28i7PCQIHUN\n", "4oBanzLZZiv8wsHA/iG/JYV78dqIDygJa7PT4c7HJ4fRMd/hfecWi8QBPhnHZphocgtfq2JS37rV\n", "vGN1HoSImyYRqd6Le/W0qKMLIXOZ8DRp4Trd4Pvhed1h0Vq/Rb0mmby/JpgWv6Sh4A2ag0X/wM9d\n", "XdHeYyrquhHSVH0aCV45/mpjtCPPcD+7m1jTUx2ToFvy0GtnVk2C6sf995ns/LQ4KhgK4RNxNScj\n", "7MsY5H7/YPwOKuq3A3B0dmws1TicicWxiEe63aTBi56g3/Lzi1jQsl2LNjqGeNMW7V1bJBD8YJOp\n", "9DgrnAO4rOi3R000DXUCaxVlQvwu/mTSjN1kZf61b5ucFla2crskIXKEwdz+f2krqEqeD8+5zCRQ\n", "xe+COzyl/JvIe+95nKqlzRgbQBEvcHsyHKmP64PiXNThPNQPzX8/Jpvj0cbmfALre3bv7AgwP1vI\n", "74twYol+ZgkKIasLWArhXb+Ja+77hU76J9jFHXwgOaZ3ZgumPLWpzyswsyams1qUsBANBdsV7BwU\n", "m6lKKzUYbHkUlfzh4vgkKBjZJ1M2IcY0AewRSureu9GiuESsk/8eAaxZU+9FKZN+LooHJEWar6/j\n", "4FC08197KttnBXoJpPQJMOBt4qLwssm0Nyq060iT8JUIGO+varosNXkQrkKBs7iVirA+rfpe7vf7\n", "WjmESBJChoW6Rn6fR6xZ+xbjAR5aqmN47jwU3o17kIXsaFHf/kjTtWLFuY2ADfx/h7gfrqcAni9A\n", "hXYPmY2nICFiMb/v39n3mOHVfmvwC5PG5HJTrMAHQxtNMYV9KdVly7rvGXnVttJ8zJfq7u3wtax+\n", "F/gzfli0y2iTpnR5f/5wgy1NJt1vmRwYZs/r+DrFZuUSP3YjZYG5hfaux6QVTSa0jUyCTkPwuYwS\n", "yW0S/HZp8y1cbYXZLn0X+5hwU/+yemLbGMYp0YUcZhKcIlbwECubJ88z0To0NjeTcKwUwn5GT9y3\n", "ENRgfgQ8byIMDW23m38biQOv9rtAwvRV1IDUW6wdY5FpOxeyJiAt/46EgPfZ/Z8EbsmOzQk86t/m\n", "whRhwwbgglUX2O3eeCeDXd9+cmsIUfvQGufLh4w4tM8rMLMlCvqD6aYWRe65NwM2PzLRBS2U4QN4\n", "ByRoLeHHFvIB3pNd//cOPpi9wNamKYbg1siO/zHghBb1nSf8Xxo4MOS3A37q/4cjdfdUCZ5I4Ihx\n", "tNp5380GbJuuReasgyjhbn5vcvuPgNtFDX5iWsxyM0ZKz5k8t/KmLHHnrIcWPUO75I7i7Hl9D0Xq\n", "/lCvSiHkcUoL5hRTTLrEA3SXv18l+P7T2TNP9OPXIGzJuqHfap0GEObuRv+/etWEinbVR/r/q70P\n", "qqLcfx0tLimW2mcIYZWyZxrSBC7o/18J5yvwdI+ZGL1P92eOMnlIpvN/M/ho3la/p2ZB6+XYXYCM\n", "ZBVhdYwG9maglc1fOa6vSpPTpClYEjmhGBn3GC1pGK73byE9c8GK8qvG3zhr9i7tMTla7GXN7O7D\n", "TZQIDY3SvZScEAZ4XcwkfKX3TAJUrxj0J9EchHlNyibZCf4N/ajDflwbONK/iS/TbBo/EAHPp3pz\n", "jfgEz6JayLoZN1OG6+cgwCBQ4OYvUda2rkXhYb0BvoG6wzvtULDNwV7z/L9o3oSHtcFWQA5SWce3\n", "hJTMzKnPKzCzJDqkP6AXalFkB9+EwmuslFYC+xLYrWCTfCB/j7IJb12wOykEqxT2Jk9/A1s95Ccj\n", "EPwPKQllCeg4d74ohDrPgQDOCXA+J2Kv7oeEmYdpYS7pZZufRXBJ7rA9n0ZuxrngW8Hb9QmTZ+Df\n", "rQwmTqE3JpkAzxuZsDHfrGraOMkn7c8ldBh2AgkEV6Eg0oshL7vnqBZCxvo9FQvmKzUL0MDsWINi\n", "YB6EnTCa3c33IgSCDcd38nqsScEG/YOqseLlH+7/d/fJv0nLi0zOy7VrL2Bnr+tvkWbIaCtYpZTC\n", "wazXrv+MQBKJMGfz+/+9CYvbVI7nLv92sj4ZaNWC00ATF1QSMnbw46Mt4+462P+/RhmX0wENw7rZ\n", "M2c30UK0CvmUvo/JJk3XblbtnZrataGpetTruHXzOD3LhP+q6sMek1l+XStj1BIo/77Yh2kOOwgB\n", "2AeGvrwyPPcdZJZbGAHXN6/ps4W9vvMhappWG86RCOowbhrGyOrIBJ1jshLr++eA+bJ7vgwcEPLL\n", "IsF+Tc+vg9OPHI4EqCkIJvK2/18E7NKsA5M1I2mlxtWsLR9GD8I+r8DMkOgl/QGtPcUWQXbv/1As\n", "bAaiSRiHTID/rhnEj4HdHQb9bpR3FnWC1dtgn0cCVTrWA/YNSvQM89fU+RwC3oagpkYuwQdRuN93\n", "xLLeoq3nDv9rzS7hmu9SYHoys9NgK8wYValq59vPpOU4yspkh/2sHq9SEl7OpkOvOq9/F8LKbJwd\n", "i0LIUtk92YK5vxWu7SNMIUPSwvhTq6EYSJ6A11Fh0q5qe+/3XRFJYhMRIRKgmhYVJIyPrji+AJ1j\n", "5b7h9T0eCf5GWbBqwVl2gr/3ERV918Sf9Zb34VjgOIo4bV8BTqGNswUSND8V8sMohMiRiHLDx+Xh\n", "JjPuYiaz1mNWxOZb0oT7e9gK7q/nrQCdn25ZGJpb/f9FWX06Ncf6+Pi9wc9qxnkOTH/KCjPlBeG6\n", "ySZzZomGIQn0o2ngvw6ywvSHFYJjEqzyMEyvm9jXXzdpHu+0wrTbJFjNhWuvPT8fwuYlzFu6fjJw\n", "BQHqQD33VH+k5V0caZFypvYVkMfqqtNhzVka4aTuR4HWY/zRKcAtSMv9kYr55L9kpk4cnzgHhaUi\n", "Nu7ZaOPdA/YM2M4UvIjXUghO99WsL7kH4cye+rwCM0OiBbFaTFVqUWTm2wwBKvMAn4Z2sO+CtEp1\n", "Zad0DdgFFMLUcKTW9bImUvHRxHQ62CVgVyJsVmYKTAvAqoTFHO145vL/KyHm4kU9/1E64MLqsJ3n\n", "RwDhWsEEYQYWCvlDESYhYKn2NZklRoZ2HmxBK/AyzRqhc6gkUl3aRPD4Qk2THh+vP41emASQlu8o\n", "ZHr9PtXCzDLIlJb6Jglc0QTkqVexENNEHRnk25q0EUv5wlQI0MhMnnNa1S1SSbuZ777HUg3gTR6B\n", "u9IIdtzkxZcBtnc0eawlQslvWznY72QL/FlVqaR9RkJSO83a/LH+yCT8Ue+zG4qyB5q0jGaFticP\n", "JG0mEPuifs6sMGvO5e/X0FxtSwGQ36CiXmORtjEf9xmR6l0Gb5jwaHVjKD3zPpOmKQn0T4XrLktl\n", "TqTs2BEE4N1MWqr9rFmz+gcTEWpVwOVDTObun5s8TetD2fgzhwD3AV/Pxuql4ZkTEWxhcR+XlWG8\n", "kNZ2GLAnmrtrtZho3j+wqk69nCNGIOFqf6T1yx0h/oq0VkuEd0sb3flTH6dAyouDrYkgI5PAHsga\n", "+C/h2nHIXHiI5/ermVyq1pGZOfV5BT7oyQdpr4jVhhWD7I+UFy5DO+JrEZPzKJ9wazVNBrY31SD0\n", "ZIYMjOuXQQFeT2lC+P93RLlwCdg9lHYa54R33hv4hP9PvDwptMzG9NL1vE37DiR4GdKem2on4LyQ\n", "H0QDpDraxPsTtVSrm2KlTbSKYLNDfcE5mZLpsL/Bp0xhZKpMHCl9N/br3b2ZUBB247PIs2eg912d\n", "+bWLamzfeBocTCNMYO1drRoLltJD1uzyP9Bq+K3mzOrRzyfwpTy/PRVaTopQHP19IagF8CPqjttC\n", "/goqhDEKPrBVEN7FgAlV36oEk26Dq7z/lvN3OsHkLZna4rwwVhLx5X4mctb2PGUdzh3nlvtsDivM\n", "bxHvZVZob7YPx143CRAJQzfZCubzvS06T3ibG8IQVdKhkJljaQijCSS+iEmzt43Jg/aVrI5mZR61\n", "HhNFCf5ek7NrOAuZpiIpsGmTs7K/n5m8D1M/YYrpWMfS/7KJ72s7zx+Q7nuMCqEyjcks/w0Ue3R5\n", "RFXQ42VMQZusBIL/CLB3TZkbIE3mfAjj1JW180XAd6fjXDkXik+aPHOvoxHyidgGxyLt2UgUfNoA\n", "OwBhpfA16lCw6/F3ucUAACAASURBVMA+BXY8hTNT0k4tjXBVB4ItHNaaOoeoAIup9RqfWVKfV+CD\n", "ntLEkwsrMU0E+yPYF8GWLA/ylJ5EHikbke146UCweqH9QDZCVPooBP4TqXhvRwSh8f5uSrbx34U6\n", "rUJBNLcqElzek10IMrdUBlMO7XN0mJj7I7PHfJ5fXfXvF9qiv8ms8BdrFoyetoD5yMDiKazLCGut\n", "+ekxOCbv46bwPm3ee0XEnJxC9uSg2MV8cq4wcVaZcj5j4qy6NrzzFQZ/DvV+xWDZcM9O1oylWc2C\n", "92EK3N0Pac3+ibRryYPvaKo9+OYHNvL/Y8hCxWTXjqANJg8JnmmXPhRpIAx4p+LaCvxZ0rDEPu22\n", "sllrH/8fCUTHxG9rzfROHfRtRZ8lkPjhJk9FTKa+VJ/Iwv6XcPxdg4UNTgrH7jEJx/1NZt6GpmAw\n", "EmSNDJxNNb4taI8utAJIf5qPoRNNUQDy8Z8z/79ooojA5AHYHdqclRE7+OJxvtP4jdqo17ycCOBf\n", "zyR4vWPwNRNpbvwGXzL4Xbzn4wTHA6TFa3LCQMLQvgTnEjQ/P0YhYE1GmvlNgN1jO4b/C6I5fRRi\n", "V/96izGxAHLsmWahA2mxN0Mm+aPRZvNCmjfx78b8Y2CbVaxPgyk0VCmNowCrT0JWkgQZGd9+PZol\n", "WM1KLRqvglgtpdcRT9SWiIwzDsqAWZpARQDbTp/RKj1WfmZjV50m9CXRbsTA3kQYq+c8/yLSggWz\n", "5fUUoTEGIzD9lqF+01WooqyhGpyX78/sF/5/j4zuAS1eR1LCqQ0xxRqrE4oeMOE6SkDhN9GuenV/\n", "VpuAtlMs0Bek1FsaiIWR187FSHCtev9rEdtzMHEebqKASHEDH7XChJLjit40aRTOD8ciuH11q9cI\n", "NGn2+iFN5bwIQ7R8xTsdC2xdcbwfFe7qyKTcKcnsMl6Xp8KYMWBixbUZ/ixpM9JCnrOeJyD2EZ7/\n", "bmiHoyywgO+LNBy3tKnrSBom5dRnMfjxYyYKjJg3k6kZqw4l818TJ9lGJlOdGRwc+rFhRhuKPFMN\n", "gZ2XpbUX89pF2zxjMI+fH2DwH2+X560s0KSU6j/e89d7vr9Jc1x8FzRrcjIs3EsGa5o0xOdbWaO6\n", "gMFfTdq93CzYbUH4zekHBiNuqIEVdRhJ0Ip6nXZCGqElkUCVTOVTEGh9Gb/2x1Ro7NGG7ycIQ7Y/\n", "zSbx7YG/VH070zKPIo3aZUjAWxHRhZxDs7nQDkJBl/E1aj/K3uTDUUi0G2vWnCQ4VQlWGZnoLFPg\n", "rNSi8Vpok/6dDdqlwY4AuxnsHXonvdOBVixPwYT3DGUcyEgce9Mf7HM+6G9FwPXHkL189uL+h5Aa\n", "+xYK7clYOgCOT2WbzoZ2hsNbXPMzYIuQ3xYHBCNA52k0BTI+xiRM5E31kgkHsqKVr28IvsOzZ7fw\n", "pJpkzZ53vTMVAYcgFX7EczVhm6gV8v5t0iSYlYP4vmxl7dxNfm4Vz9+b1ft2E5fR4zVDrEx+ikwL\n", "rRipFyGYBZG5rlbDA1yOOM+i9mQRFIg7FzS383rc4PkBnp9SU/acNGsjrTmm3SesMJse58e+atL6\n", "JRNVyaQ1kDYUGkWfLW0SfMebaB1SP6X2/awfO8rzr2XXvJj1x91e/zs8/6oVglBDEEnA7bM8n2Hw\n", "6kDrSZh7w2QGxaTNXNUUCPpUg2uy+uSC1WOWkX3+req7QI47zr2VsHCPmzi7LJSVc3d9NYzvv1oW\n", "EuhJJNR0Ie/Rz1Y8dwPgworjI4E/Uw4LNBThrJ7DuQGRJus3Pj6Hh2s3RHCELkTwORD4PNLutiJS\n", "HkuNs9BUzKmz+3MvooghaEPBdmme8xoE0+cgzdQzNIdNy1PE9FZdd1j5GTM9YWifV+CDnGhjpjsE\n", "gcGfqjjXS8GqVziubkomvJX9Y9oecQCtT4UnUD+aubGQMDUncAAZc/N0bscugko+X5wQRmHVkF8c\n", "+A7lRXdTBASO9b+jvDCkNN6Ep1koe9/ZTcDXBy33IsrqU+FJNdjK5sbeTSBUmocq053+/A7CsyTB\n", "qr8Jn3NxOHesnzvQ89H7ahM/9qYVi9UU0+L2biijIVScj3bia4f3+QLBiSAc3wVxUy2LNI2tCDX3\n", "QAvYX2jBCwd8zY//KIyHdG0dmedoJJD/vrmNdzQBr083aX7+ZkVcxUNM4Xee8jZoDYyu+o6b+amS\n", "aXVQaNtb/Ngok7bnU+G6v5i8PN8I1/eYtG8xpMsvwjN4M3wvY2gIBIOsIN9M9+X0CVihCfunFRqw\n", "qz3f7df3WNYmpu+iklPqVzVttDWNoNd1Y/u3JuFpZFZmP6ugpWh8g0hjcxsVJMRIo/SRkF8Dx10B\n", "S8e5KvtmxyCahin+vB4Eel8RCfiXUT2HjEN4xEWRpjNyTA1BJtvTejmHtiWkRh64fwdsNUSlkEKj\n", "7Qm2aNZPI1Ec2auQ89T+NWtOEpyqwOvdFOtRwBfP1IShfV6BD3Ji2s10dV4qVXiHjjwPuymZ8G5E\n", "O5UVkSv8hrgLMHINP5pqT6B7qPFCe4/asZIXKZzfEPhqyPdDppdh/hu9KVMMsBUo4TXeMpkRxloz\n", "OHs5X4SiSaPJPbuqT6o8qcwn2o75WihpwfK6VWoR3kCAWit29ZOsmpgxLeB/twI4bCbiS0zeWfE6\n", "TCaXfGi9ZTKDRa1XYwGdjLSEx4a2+RwOSqe8GA0nmL/Rzr1KAKuhx8i1SlxLwS6+T7g/YWH6h36r\n", "oo041q87rXhG/u4Xh+ftHo4/YiKtbPTPV9r0cUbwWNW363s/TrEiRuI1PjaT8Ds868uUfmAyZz/r\n", "qcdC5IBHQ11Cuw42mRKrppNo8h3jx94xmN+PzWVFHMA3rAhf0xC4o7kpca3tRGFG26ZFewXNXhSu\n", "bjNRNfzNZP5MJs9SasS6rCh3VWBX/z+AmtAzaAMwLuTTuD6REPzYjw1BAvp5lHFL1xOwlWiTe7z/\n", "nw/BCxb1b/mLFWtAeua81HgX0ktCasKadRLYFWCr+n2Jw+pXnq8KjbYJ4rN6E+wlhB/uphCc7m+x\n", "Ho3jw0MY2ucV+KAnps1Ml4cQafWRrI/CJ9gILyPnyooeG57+Bfzey16NwKztH+s8/v/jPjFsSptd\n", "93RstxgJfnYCaN8nqospq9+/ScGavhAK0Px6eNf/IM3FvFm57hWTs1YPMIFff593j2VaiJYTF9Ie\n", "3efH/wd8dCrawheRpPHqb83hOZIWYUT2Humam0wA9fxd0mIcObYmWWFKed4KzRYmTM5TvnB1Mpwb\n", "gs5HgH1r3u/nVOCrQl/npr0t01iXdiS62g8zaZR2saBRSZ5PUWOWTDSZSbhxLPXfhX7sAP1WEYje\n", "HO6N8SHPNGlPGsLRN5E2II/LFwTnRPcxuqJvUzkJ1/V1z+/o1yVz7TCr11I+ZxLODzdpkkqBi39E\n", "Q2s2wuBjfvzTLfo3mnyTue82k3dgGld3mULurGByiGg4N6xMtTB7hJ9/kXq6jZGILNTKJvdX/XlN\n", "sSSjEDcF0ax0+bPGhHKXRSa5YWjOu7jDb/R2FG9vHsokq4lTbkP/XRhRf0ReqWuQQDc38LFwbwoA\n", "3R8JV4mMdOns2Sci7qmhWfsEeg4JPhVWh5wSpGRleRXssnD/Q358nB9bFJFQL5OVOwjRMmxH4ZC1\n", "fhg4+Xq0IgXY/cNAGNrnFfigJ6bRTOdldMra/mKWr7xuA0rxA1NokeVxXJJ/0OcDP/P8CKaTPb/D\n", "NutCWrGouRhGOTzN5pQ9eJZEJoJfZZPoo4iWIDF9z44wN5eReb0ojTF5NUWTVp4aO+4ONAwNbdX/\n", "yIg6ezN+irSMaUGM9Xk2/I9ahK7suon+m7RKb5oW/rSgp8U4Bc0d4/l/h+f/ybSA/jiU+5BJO1HV\n", "Vo32aBVbbXYkQKU+2gTYpMX13c39Nps1m3k2NFgiHpuz6ltq03++ePNNGo4OSVidaNIcPRiuX8UE\n", "3L7OrymbAqkwxdCEheuxao3TpeF9xhk86f+HmDBd91thklzGJOBcUVHOWSb+tIaDwZP++wgCLpsE\n", "oqesAN//uqZ/4/cQx9Cf/dgAk+buy35s3vTMWm0EEiZu8utqPYqRVqcT8tL7kTntyez45QjP1MQ5\n", "5X21Ud2zK65fkEKDNBBp2VPMvX7ZtVshZ47vU/bEu4EQxQA5euwW6tIP0as8Thka0YXPjWi++BWF\n", "6bGUhoHtiLBTVYTU1MBXNvdrF0Pr2CtIGIJiI38z2Clg61R+W4XAla9H0YMwpZmdMLTPKzAzJKbO\n", "TJc8YjpibU+26TkQCeh+lPipbBAKX7Md2H9RzKf+xfmx/qH/3D/SQWS8KjOonSKOYO7s3AWUVe8r\n", "IczUABTItMG34pPKr5Gg1YXHAETYhgphCtOifFuLxSOlbisHg02eW7n2aG8LZrt3yFiWe9EmZxfP\n", "Gm7NmoiXTCDhKAjmJIz5O5xi8CMTfuoEK4D5aWH/oeeTpuLY8L6596CZMD47Vxy/Nd33Zta3Z1Jt\n", "3jseaRLW81SlrdqgqEs/00J9oz/vCJMgEfE/Y2I/r09DM5RSDOCb6v2oSQtUCvq7O9IsWKHd+z+D\n", "71lZ8FzF7z/BrykH2a545w6wcGYCoy9pEnZi367v/8+1wgSWBKbZTJ6A+dgcY0HL9xASCp4KYzXc\n", "c7IV9aty7khlxjGatEcL+7GVTBrWUhidj7QZ9wtTaJxr6VT82rEI1hAjUbyBeAAvpRA6EvN57Nfn\n", "KYK8z0lZc7Y7cIz/39bnlLZRERBdyLd87lmc4KHsvztR4P/mR1jCOC/9x8dqV3yefxvDEWzjSDQH\n", "fh4JXJ1uvhtpQ0r0Pg0PTCrgK1WC1F0UmqtOn5nSQMTOXsfEPrMThvZ5BWaGRBCOOjTTNdEftBPK\n", "dvZ7k8lxAtifwc5AHCJvIU3V/8I92xbPOwtxxezODMJNVbTRJgSvGxSSIYaU6O/HYozBrwIvhA/2\n", "NbTLG42EqW2QZiqa6VLqQQFKt0Jedtaeebzbwi6/xfWPWxGUtqFF6TVeAGlygqlqp5p6VbFLpwV9\n", "LZOGIp57w+SeP9mkdXnFCuFqhBWg/XNNmpDoYVUVluclqxbgGnHk7ieQJCL29eTGPjIsOF2UWcfP\n", "BXbO2uS5ou2f8veYVPHsEuVDSq5hjOavVibN++O9DZ63ZiHo3XDdEuH4H+OzVkaa06UoL94Z23tK\n", "k6zZsy+B0Q/yMlewgrl/Taswf4VUqcl5E7je67FlcXxQVo8U7mict0lVW1UB0CvDQT2NsEYnAau1\n", "Gf87+D0TyAg6K67dC2ndI3lpf8oeeMsgzqgTKWu1JyJN0NmU55xhCFbQhebIT7eqQ4u67YucaU4n\n", "C9mENg8rIOjFiZTnqpuQZn4tpAU7Dm0k50IkukshSMQXCJvv/SgElndoDpk2D8VaswylDXgS9irh\n", "K69SLUgNoqmPjQIztzZoE79FxbVrgH0H7PmKQTUz81r1eQVmlkSFp1i7IMx0aEbsodBYPYZ2F08j\n", "m/bvKLwOH6EIxnwA2MfKH8EM3xVQXmAGEULb+MSxZ3b9pWhRPpXy7rQbBZKdB3kNXUhl0GQMeAlh\n", "rRYO5XYQbLbknm31Gob7TS7mmPBID8X7eoUXQMJueGas0/MmPEkds3vSIgywzvBQr1rgD/I0yJoX\n", "x4FWT7EQU7eFBX5javjYfGGoDGDr56OmywWbKs1dVXramsHsQ7N8Hk8upmTOanhzjqWSwsKsED7n\n", "Du+fhOuGNmAXtLh+JY1/auMT/trg8xV1esEK0HrLdAMigaxyPkm8a7nAe3VxXXzmPd4GXSZzZFVb\n", "NQSrtSueaUgTthHyxF0OwQ2upQ0XGRLCDHiACrLOmnuatEpIK3ck8nxeGglteUDrq6gPRTMHMML/\n", "DwDWpXMzYT8kDM2PhLWtKQh81wJODdfOjYTOOL89Q4HRSpuQjZEWfyC+uZwHEU3HjtkICTRGGRi+\n", "Yfg/unjOWZ2sO/fRbBEJaXfKDjwl0+JrCPw+jvLa90jFc2YJVrNS5w1aH3OryUuFDoHv472c/siL\n", "I4EEf07hhXEz2DZgP/X8/xAvVV8OXsTrktTws/lEH9mMF/UJpMt/r6Lw5jKkcdrWJ6pfUAarxzQR\n", "CWUfp0YjR+fBZl3rUaW5+bMVwNzNrODoaW0OqqlPCmkR6hKftbsp+O7OpkC7VUMj1f1Rz59mcn9/\n", "3rRwr2mFCbHbMuB7T/bev0N8PVYWKiZ7PSKzd7cFbdETHbxnPwRuH4y87ypJEJE3pb/7BCswY2bS\n", "rP3a5OIf2yBpW5JZNoU9SW1TFcPxApM59Hy/ZnR6l1/6AudC+PD/Z++8w+0qqjb+O0lueqEECL2X\n", "gEGKoTeRYui9996rFFGaIigIIihVEBA/BFFAQKoU6dKRqpSEqkiTXkLm++Ndc2fOnNn77HPvDTcm\n", "J88zT+7Ze9qePXtmzVrvepcT2euzLgg7fex9d2r56tzG7Rn72Ob16/y7jVMqOP/TSVOXpSj4DJn0\n", "4jAlH9h3dQSNIPGjUaifYfZ7rlDuV0m7ngB1lGvUEDZSSlDvJft3u39RMhaDabLuINOXD0f087K8\n", "UZlTSLioEDXHodRv+iMIMSR9ehkJO+sT4fwQf9zh9vcZKL5eVgir0L+9EJ3CzTZOsaOOD04/PdJQ\n", "vRf17a82Zw60OTS7zSM3GIWYWdTWdf9y/oNCjzl0AH+JoK26ngZnpvj9NbWUTEIhzhYK5Ru08pR4\n", "xn+ECEcPzdTdNgW2U9cGtgmvSNmETCf3mQTBan+CVipOj9uHNDG5/lULVsnCvhr1Wqp5krwroVPZ\n", "c9HH/ykSOPa1ezmvLp+eRVixmVroX6ngS6GG4WYXNtONXT0reXUuo6gfv0KboZks0s13opP7+iWu\n", "nn/Kp0dc0NYs5CQIXeQkSDzmhJ3xmqc6Qehx+/9GFA/NIfyaD4+TaPa2dhKqXncZzd7b1Dsg1BD3\n", "2cyZ5/0F0kYua9/EcOrNODU6Pfmetefe3ImQ0jkJHGs4eZ/F4xDHj8MFMLbvY45K4F82JkdYnu18\n", "+Y9sPmWE8Gy6i8Z4iQUhhnKf9ylOgZ/ja0c7uMklglWGzHSgK6CeiAWbpZGWd1WC0PCA8k7nJLz6\n", "dj9wclDAiWD2w+heUxzZpgQw9el2bTACy99v31UD5i4qv5yVnwSsXuHbmYF6MHfOa/cOhIPa3/6O\n", "DxJfIMLQscn881ipEdSbrFve+K2+eZCg/YLN+YHIa3R4lG869B3GZK1PAGtbHX8F4WevA3c+ApDf\n", "De68ZL2/D+FrY04p/3eEt/X0MV2Gr2Setcc846eW1OsdmFYTFWIA/grc4uBOIITF6Um+rMnwTIsC\n", "f4p+nxgvlEjF/nNbcH5APX7qDaSVuopGzFTsuvwpApmu3J1nIs9LFfFexUP5BxfAwHO5POanmFA0\n", "aXcu5Lo9PzKP/jo829NOAPsXbWMrC/B8lG/PNrRKJs4n6ARoc1S0mK9B8NgrID9t0KCMR0LIk1g8\n", "QBvTxaLxHE0BEzky2ZwW/c6M/RcuBPk9xzUKmJNcI/2Er8Ozjr8a5T/ZwQr2Pp2D9S3Pb7Lvj2Ke\n", "skuQSWw0kfbNrpnGc4SNvRf0ck4BzzsB49PrMVicp6jjads8qesnTsSg+aDQ9s19Ajxgv5cJda2f\n", "tHutXe/n5PzgXKLpbBAko3Z+YHleQsLEwQgL6bnmDm/yXRxr5V+lgqaIyjEyuQGZCdelXjvkEMZp\n", "RvsOhyTvcYz9vRQSDluK9Zn0dQTShq6MKBu2z+QZjjClsYD1AAZ69+v+E+CeR9aJDcBdWrLuDwP3\n", "TMO3Ufec05FQNjSDrxQ8X7c946e21OsdmFYTFQSr18FdaX/vZhNxSj4VIFzHiSX3l0InsFhQeh4J\n", "Gu8mH/OHye/HEc4qS5TXk++kfnM/N11knDAp6XBXFqzWQifo9JTtZGasJb93c3ngeB3r+T319XS4\n", "IgZqpOVz6MTurGwNOB3YMepnM83e0UhA7l/yrL+injG/0OMKgXtdPbA6Tls7gbrja6+lz+jC+/PE\n", "mBOcaAuWcvKqw4X4iJ4k9f7S92fjc3nURjw3PyVwYt0Z2vem1ByPmE/Hu7w2svPd/geZk1zQJu1a\n", "MD4TnEy2etdJ/7+OzKwL2O/7Q//vTOrZ3K4v62SS9JrOTixeVnOBhKl/Wp5jgF0wnCPBc7cQQ4UE\n", "QNOmcR3l7OGRZnWQEwVFLGxe4GRC7xQ2n0QCzeoIXB/Pl5eRUHhqVP/mwNr29xJIMOyW0w8S7voj\n", "QPquNiankuAPkWn0cOoPne4aFM91DCLnvNp+n40A7N9BDk1+EOK4fZGg5ClBclq+z8kTulbCjdIN\n", "z/ipMfV6B6bVRIus7Q/bZJzSTgXAT4H17e9ZSVT5KODoBZhK29KXwCs0aqbeohE/0hkA+at8J+Lm\n", "2drV929pJ0+wdLirmQJtUX2lvs5cKJyOzLVxTgD0z12iRVgOhXy5hsbAqp8jr0nvDTTSrn9qY+2A\n", "texeQ5w7pFU7HnF0pfidrYl4xuxaVnBCoOY5kUmkKM+Q0O9nnTzmYm/IlZw8G2Nt4S3xs1ryGiLv\n", "+fiik2brXQffsGuLOWG2PNDdc33xAZEnGxYAHJnSEq3VAJf3ihtmbfo+elLPImeIia6e02q8iwg2\n", "twplb4vq/4+DdV3AoH3qpOlc0kUOBXFcyX3QZt0PGEUUL1RktB5H5pxMvl7I9KbvMU5OGiHwdsE7\n", "XMfuf0ZEFovCaf0BaUfmSMrkNnmHDh/ZTZ2mgdB9muDE3I5DB7hNEMTg8qStieigUCo82VzYGJiv\n", "m+vMMohja0EkXO1d8D18N+7nEuig/aU94KPISelm5H0XP3yBYHUp1RysbqLFcDP0oGlxaki93oFp\n", "OdGibdq7wk4ppwLbeCYQ4ajs+mCk/j6YepLNz6kXnBxS/b+ZXHsSnRILAzFP7ndST0Ewyok/qcg0\n", "1xy8jsxm45XPcys94AINwmBXz7f0qRMoPeZsGuPEazS3b+/mdKGUxqfBHOK1VRvYb39qf4BicsYa\n", "0mzMCoyOrk9nm8Kp1AshfexdD8/U9QskWE1vv/sDi2TaM8HwICfh51AHp9l47OxgtKsXQs5In9OJ\n", "ogAXhKZ/Rvm9N+dNTiZCnOLNdcZJ/BPyKPXu/PdRp93x6SInwex41xhXb6RrDC3kA3PnBIE1XAgh\n", "NN5FwstTNFA1LGv3LrUyfiz+5ISZ+jSeixdlxvdhRFjZgTQ4E+ufK2dKWyJ6nvrA2wXzxoPFX7Y2\n", "Z0AC3TD7+x5EiVBgymsQVlPcWAkv2EVODhzxtb1d9C0vGY3Fd2gk2fwzwqXtF7V3OLCe/b2YvZdV\n", "u7nG1Ajm8z5ovVwMabL2xtjoiQ56M0X9XBSFlfkvwXnpC3CPIaztuZYvYwr8B5TzJeZIRVt4rpY9\n", "46fW1OsdmJYTLdqmH0fBkqH3TgVITX4bpnkgUe+j0DnvUM84nHqgvYrCwMTA9P8ib5zFe/F9fIt6\n", "IL0TEWiOJdun8fFmk9UMIgHUNB7x5uo33A4HlzvRJuSEt5izqTM0T4S9KSIxrQuk+zaNGq0bkDbw\n", "my2M0YzI5XodDKgc3YvB6GtR7No+L3Bt5vof6zfNz5xi0R3mBPROx2Xb+Fnu0P9e2+NNqs/amPqw\n", "PR32Pm+33wvF7y+ejx/YmNnvUVFbV1n7r7rA+xS/o7WS93iLC9QMKRbuHqujAQs3HZ1anCcs71l2\n", "f9nMWPg52qk9/YJG8tWjkTl9Nvt9t/L2icbNj6GPB7hp0k5TIPtIgjZ0O2TWi9nGB1qeKMRPPHcn\n", "2fj5ftWvYxTygjknp4QXk2svOQlX6jNac/cCtkTM6B6C4IWsN4Cjo/6OJnLGoJ4epB+Rx1831p3r\n", "0aFnQ+TZGH9HvwbcfuB+Dm7G6PsdjagNPID9j0jgWtvu70IdHOQTaH4o74lYfrTgGT+1pl7vwLSe\n", "6Jptuk7D81WeChB2Yufk2tyIgPAaGoUon16wBSQRXLjTFuBBPd3XFp5pLKJ2SPo8yrVAKFoWwmMf\n", "5Rkc1efDyoxw0qpMdGLR3siJkDNtq05bcDedeBQvqP3LwZ+dBDRf5h2nsC/Z9xGnl3NzBYtjllzb\n", "ADi/wpj+FPMYRMDcUs9NYPcwTqkAuoODHTNjH2sVWYLO03LMZXWLEwP9D+33bFb+PPudgt9zWpt+\n", "rl47dpHVcaurF/gmRGXjUDPec3G5TFtpDMtO7aKZRjtcCA7+jgsanVecTKWxd6pzMmF3an2WT8Z4\n", "J6TlXJY6szdOdAsfuuA08ZQLgk0csaC52dvWCIeElgWSe9cg4cWJaT73fb3lAqbMOyHw5/o+p84A\n", "XzhRSFxsvz9wMmvW9fkDhAtcC2nNRqO162G7/2X0/3dt/sfasqHUO7o8ApzSA+vPbETs7dbumtbH\n", "f0I4fH+KcFVzRXNmQeTolAZE/ga4QVG+qgf4norlRxPP+Kk59XoHpvVEF23TfEWnAkSJcCcRsDm6\n", "N9AW0RR47tPT6MR1I/Xakv8g78CFe6qfXXy20dY33y/fx49RAGvXgrddTjCZGan3TWiLT9nerBNf\n", "m+QUFDrVWk1yCjuzu2/PzC0xkebBTh5i97iwCXsz4wgH+7l63NZ5LtFoxVqB4Yg/bDHgNWDf6JlG\n", "kKdTyMaaRKzR69PEgQKZYBagE6wdj/3STliZN3Jj74A7028ppCFO4VbOtN8L21gtFeWpWRt3OgX4\n", "9e94v6id+aP8Po7ijdF4++Q1OrtH17aya6c7OSLs7jLs6RdSj4sywSoF83tw+dFO3FoxH9Wp9myd\n", "4WwuTMZ4OBIO1qKTO6q/zYu+TjER47YOt3oWcPBydL3cUcM2VP8e3iFyOKEzZNFgVx/QOk0eP9fX\n", "BdycWL7z9BU3RHPmfSei0yNzfV4v6ecQtJ7+X2b9+ivwN4IwdT6wcVR2VTKm726uSWshLNRlGOAf\n", "OzDMDe4ce6D7qSOA7kz+gL0adfxTb4AwWq+De7J40DvT1E6HMLlTr3egnRx0wzZND58KrL6vRb+H\n", "IfDxrNG11s4bNQAAIABJREFUxZGwleKlHLLjn4I0Fql26iZkSiz0JPuKxntuJPD5E+rnhACuHyBh\n", "8WIqYVCKNYPACbY4J6fsSdHm501VriR96SQIPeHbNK1gag6J60lxPXdGfR4d5a0LDeMZxOcHjovm\n", "pmek3hmd7k+kXgjosPEbmDx/X0SCmAapXZ4CDzEkHCUAfy/8NHg6OnuHsVahCQdV6hQwwMF9Dn7t\n", "JCSdFI3hnA4edI2hc35o93OCldeODIvG+By7tm3yrh6J32f/ZBxqdJomn3UBtH+dlVnASXN2YVTn\n", "b5yEwbqDVo5D7+90OpMMjMos4oLDwLaWPAHrJlE7zT1gUXgZf1BZBZkhF6XOlPehy4dr8ukQa6dT\n", "iL4w9DnNO8mFg8QPomvFfUbr2hVIU3ocArZ/Ea0JDpmDV7H8DbEto7o2Bw7ogbWpD/VrbR/E4v4E\n", "SAM1dzKn+4GrJdei309g68+JKAzawcijMMeG7tPUTuA5uVOvd6CdopcxBdimbZO8C3FFxYtQP2AP\n", "grt+nF5HYRr2sHKxduo1RNQ37xQwvjMjmgG/eH6BPBa9m/fbdOJOfOrvMuaaLxDNQRGA13s6fVpf\n", "bicn4PSHUd0XOVjGye3ebwT/cIG/KU0dUX2xFi02CeU80b4XlbvOrp3gBJBvDkq251oO4aM2xXh+\n", "onuxx+BelJj+UGiVESX3qxJ0OuDhgjo8m/fHmTLRteuL9pYoTXD1Gqbv2PV/uaDh8umq6B15kk3/\n", "PhZK8nbilW4oeIZf6/44F8LffOGCltGbQsdn6uwUIHP0EYsgzjgLDPxg9HwXWD23OWH+brfrNZsr\n", "1clw7bt3yKt0HAr5YoeMO53oLpZ2Mv3lDhefuIQA9n0KTYHOwR2Wz3tO+utXNvQZcbcNRQfSPgQe\n", "t5XoNFV2Bk7+EvFsHRflW5Z6LNRFwGE9vF7V0Fp8LdL6dmpzR4BbGJGEOgRePwncdPXzfBKivmig\n", "9XkM3E7gzgD3j4KJPzWHnJncqdc70E6Zl/IV26YR9mK55NqayHtrDWQuS7FTHyOtzhroNPrv6N6X\n", "VmZ9egDc2QPPNwJx1cT8Q5cht+en7ferdGrYcmDwZ5x4lIrNf2Q9nXJeemva/wOceInucPKA85vL\n", "KQ4us7+fTta7WGvziBNY91Qn05Yvn+NO8m7n80X5rnbB46tzk7+Q4BU3LHm+64C5K4z3kYQwKssD\n", "8zfJvw950sSlkSYsx69zgv2+qKDOB+3+qsgc9Rf7vQPi17L6PsjtKZl0QDTuWzmZxpZwcEyS73YX\n", "hBovWH3ugrDlx3t8PJduJOPqD6xAp6Dwj6gN/648V9dhmTo7+dBygpXnUjLt0b4Ofmv5Z3SNGL/t\n", "7d4K8Tg0NRGhIOOvWf67USQGFzRO/3ESWjd2wnG9b+MZO4v8PZnzXtjMgdedg7Uzc3+Xhj4DJxN5\n", "ptq3uxUyf69DwF3FWutnMZM3Cqi8bMFzd5B4Sndj7ZrV6qv5tWVhhIP6kgBcnwTuSOQp+HNwHfVr\n", "teuH8FnpgN0L7rO2YNXjqdc70E699OIj0wPyhvOuvn2Rivw3NDJOT0LanfUQiPk66l2WXyMJgNzL\n", "zzgIednEHDnXIcLEOYBn7NrLyNPRVePGaQSsU4fvqTltuikuawcXtF9+882dvH16z4m/6dOoDi+s\n", "4YTVecYJsPu+5RnhGtm+P4je4Y+s3rStOrZvR/CKe9fmxGAkpOQC4C6XCgZIG3AB0mKWhimxdxGH\n", "xpmf4KL/PDI770k9S/5Z1s8jCur0NAnLowPCY/b7BToF7Jns2T+zjfh1JwoM5yR8flIwPnM6aRS3\n", "dBJqJmXyDU2uexqIW13q9IBwNHNmnqEWvq94Xj5uZb3GalRSZ6dWsxmv2r3KN9jKr27lton6fZeD\n", "P7oAIu8ExlfixkMHNIdgA0vr7wHJ3PvASRP3uYNfuvoYkc4Jm9Y5L40ypIgXzGsH+zoB/OsE2CXI\n", "HBisn/OhEFPfRhxt/YGzo3a9lvNfaH0s07ieg6hVeuxQiXmQ9wW3b2ax+AzcL03AcsiUl0JJpkca\n", "qo+LF5zO1DYFdvN99XYH2qkXXrpOjldFv/vaYnIFApa7JL2LTnhjkKbgtehe0wDIvfB8/ZCX2atR\n", "Px8CVrL7C9DJKcUTYfEvWqzT1Gg6o1NTtYATUaM/9f/TBdObc4rf10la6BrZxON0gZOpcKKTVsu7\n", "jXsA8xBXv3lPcoqxF2sFnAsg5D4OFre/78205zVrsbmxc/O/2Tbim6iPozYYhQZJBashwAaZd7Ms\n", "TQRvJLyvgXikFkUmpROSPF4DtX5BHY/Yff/OfTiT5cNzLW/P/YUTlcF9Tvipa52EquHJ+Phyy0XX\n", "TnMh0LVzQZvU4eqdHjyOaQWXoVVYDvi/gue4JLQ72Op51klw99f7uWDKG+Mk8DXXKiHsk8UhXMTV\n", "E6567NgGToD4OuHm1ha/x99auX/SqX2MDxSnO9jMCRsVj6VPT8dt301TgtCNLe9WLoMfXAX4Q9S3\n", "GsKDzpn02QvwuxCgAz4I/JdIwPLaq+8DC0Vlh5GQ5/bAmnY+4HYF97I9aBoXNk53g5svjFm8DrpR\n", "4E5DQZKLyrfB6918X73dgXbqxsuraDJEgtMW0WLRz8pcicwi/4o/vCj9HdgMcb7cntx7DpHnNXiI\n", "9eJ49LHnfCHq56MI3+GffUy0yd6HSAtLuHGKUuDzoZO0cLiDn7l6b6RHnE7hcdkLXNBc9Y82hycd\n", "/Nj+fs8FbqHbnEyGnkbgUReEoCtd0FY5F/BbXrD6xIVNdxkXTEQ7ZZ7J1/mhy/BgTUD8Q8s1eQc/\n", "A2Ysuf8dYMUK73JZJDztSwb3RQC4L1BQ3musVkfaRIc0VRHD+7aZMfjCwYYF79yXG22/33b1Aup4\n", "V88H5dNAVyCsei/MOYFxBc9hcyslzmzA/TlhsR53sdAPrFwyxksj/i/Dow11MNbKLm5j4b0w67wY\n", "r2/xu5yFIJQ80PitfeCkXXrAyVt2ko2r90Ts/Na8SfhIGoKFx4LaDdE8DwJs1J9BSf82ov6wsBA6\n", "SOwAHIToWPx8+4AAi7gHMdlvSLEDy1hk6i38Jiqu83VROiaiOLK7IZqF3IR9Kjz/h4AbAG6xaL7M\n", "BO4UxM4elxtP86gdTMNUCpXeWW93oJ268NKKI7qfX7AJ1ZBaewZ0YvsFjWznPk1EQMyNEWFnrMH6\n", "Ap2guxUAeTKMRw2p8B+J+voqwkzEhH7LEYKc3ovx0lAKiC1KdSBeE8xGOcWdiz2dJjmxpT+VlN8/\n", "GnN/8n7NCdz+rAveWEu5+pht46z8APu9masH6k5yYXN/1tVrGvwGtbRrZAdPvdnedhKwJjiYx9dR\n", "ShhoY7kdgTz2GJrzV+1PxpyHNv0/INPyasm94dafTykOkXO75bmAYNJ5kTqG9++4xvfa9H3be3YO\n", "9nDSPo53iXnvWWRmzgVw/jj9RhGu55CSMTINzdxOYZYaqBqcNFh3xX24GQmxV1NCCYAOXduS9fBt\n", "EN7uIAC6d2nxG92TsE65Yu3wm/b/mU4A9/EuEhQPjt77CmSZ2xu8dt+kWOiZHtghMx41xHc1EpjH\n", "rs8czakvqTcNnkWIi5jyvn0N4bG6rM2nIK7seEQQWjZxI3Pg/SB81gX2vx+jGcH9ENz7NI/aQYt7\n", "z7Saer0D7WQvosIJgAw4uoSW4RgkHPVBgtAvCadGn2J81Ju2AOxHfVw/x1cQALkb47YCncFvcchM\n", "uQfQkeT7FgG8fjV2QoVc4GWfLnPwrZJ1q3MRt0XGa5vudjKfOCcNlucH8jHr3nONmKb45P2mC9qp\n", "DaONZYyVj8suHG1QqzgB1z14fT8XiBb9b5wAyOmzeKFrM/t9klPQ4h84bXJekKujWeiDBKnUDLg0\n", "EsD3pgm1BsLBjYx+z4QIE1e193ooYmSPNQrLWl+eLanXE76uiVzhHdLA/oDOMEvrRc9/iJMAe7/9\n", "Tsk3O7UmLnBL/cLJ23ItV+TUEH3XQ6P5NyrT31mJcGaZ7/6tME8OcNKErhv1aUA0Z3gCCQYvUAHv\n", "iExhFyI6jfOo96T08TpvQ/jEw6P1YnCzupO5cl9U1gmrFgtXXzqZZ9dwCpz9ksuY8rzjwT8Qz1OR\n", "J/VvCSa8pQr6NDeRJx/S5D8Yvx97fyvZ+5uBELzcIW9ohzRYpyKh7BZg0ZI1flVKgpEXlMsKVlVS\n", "tDfMTsSXOKsJU8sme8mA8Dudx63sPVN1uJpK76y3OzCtJyqeAIjA0blYT08j+3sU62mCLS6vJxP/\n", "E+o9Xf6NhLCzaQzpcT5fUQDkLozb4ojJ3ff3XWQiaGBwR6p6/8yXEIFKqROsPnEyu/lhfcrBT0vW\n", "rQHxuLrg9v6RbXzX2vURTrHl9nTSkqzh4BqXOV1bSrmWcCEIs3PRJm8hV7xQdottSB7AG9c/3InZ\n", "HScPsPg5Yq3AA9H1iU5C3gouYLPqPKtGAL/IjPcAIsxJdH0xmpgBkdn5x4hA9nBE73Ab9c4WO1lf\n", "/lBSjz8cfBtpbhzaFKej0/Q91IWN/VwngfhoJ63hP5wA5+n4+JTVjtxctqnQ6SDRiAtDh4HdS8pm\n", "KCgazIuOLmxsaNP9HfLyrVl6yOq7wvKshQTeDnTQqpsLFdsZQxB2Xq+fu3EQ6KudTJKd4/scwWw6\n", "lIDxPDWqu+FgigRGB9xYsX91HFJ2bVYbmz2BY+zaNgTh8z8E0+Dt6KBXdDBeBFE5ZAW9kn41mAKr\n", "pBSAnptDA5DHYDKHJiJMrR/z0r2nJ+IMTm2p1zswrSZaPAH4vEWhb24Htya4nfMfyn8IgXedLQTX\n", "28LzaJL37/RSAOSK4zYfYib2i9mHCNyc9dJBGhUvVJ1Po3YlMgU+5GALV05a6FOn1sjMSv1dvbfd\n", "mS6Y5I63axOcwpM86xRnLt6Yaw7WcfXC2mCn4MOPRPWOd5Fm4vvpHCrY8B2s7IIX2dNJfbGZ8WVL\n", "n7sQt+1V14y/yDalm8vmDcI7bRv97iioa1cUUmRdMsKGLfqOKKZbJo/XWG1C0DIcbG1GB4sUAP22\n", "E71AbnwK08sYiaS1/T1gQRrNQj+x/D/M9HcVqmHPvom0IqmJ0ZHEbozKLAEcXlJnX2Bt+xaOtu9p\n", "LsJBa+0k/zJ2/Uvg6y1+v34MXqEBjpCdu3eitSrmSVs2eodrlLQ1I0FLv1qTfs2PBKO4nRiQXovf\n", "J/Is9ofW9wgQg0+AIy3P6HR+00WTIAY3OKiCQOVTEQCdvJbvY6SRfDi69l+k4b2Fkr3Hp56IMzi1\n", "pF7vwLSYaP0E8A+QCvcZ5FI7EdzR4O60D2i2ZJGNmHdTTdgziMQz5nR6FziTXgyAXGHMZkV4mZgZ\n", "+RwKQqlYmf2jZzwhXeQsz3U2Hi4Aai90Cp/iSlKn1uilMJarRvd3tftjXWDNjlOdoHKT/p7HwYp2\n", "PQ3k61yyyT9BiMWXWygTzMzX7f85o/bj0DCLOWnENrHfP3MSMJ+I+lHMuI0Eq+WQ4DI3JdqkqMxO\n", "wC8z178PnI540A7O3L/W+rFZSd0+z/t00gqwEQImOyQMlQCgG0LnvE29iex9ZDa6CQluW0dtb4q0\n", "OqOTPm1mZe/O9Hdt4FtNxmsVYDv722toYkqAJ9LxRIeke0mEo4L6z7Vx2d9+e7PfKwTT+TcQLcEZ\n", "du9VWjBtWZ89AecxNlYptcv7CF/3MPrGc9/t0Zb3dcqdJXy+x3P1JHljyo9ByANxRHRteuBym+dr\n", "INOgD4n1JbZOE9abmzCMVqatwWgt3rLiuC0F1eP9jafrAHREhBofxN0AcI9WaLen4gz+r6de78C0\n", "mKgYeHkCuHkSgQkU1uBr1AfYxISrzcAtRQNB3DsIp/JUUlevB0CuMFbTI+yX39S+ROD6eUrK1JDG\n", "wz9njKP4BvUhe+ank1/HA2pPc+WC1VPxhns5neD1/ZzMiT5uWX8nfNVRThieo13GnHce2Rh3Mf6n\n", "eWxCZJ541xbJ6QnmkoT9vY9r1Aqs7hQLb5ILAthqTiDpzZzi0X0YlxuC8C3fSzcrBIQ+l4qaDBrD\n", "4CyJzGIH2Xu5BVgryeM35iyWxfJcbXk2JpDAvoFMjc7qzZjXcoSunVrjb0XX5kRCwTxIyCgU8KM+\n", "zWVl303Hze4vC8xQUn40sGo0x/vYfPZ9mpiOu/Vvn1x7Bd/aRsCTaOOfJZo/xyJupyeQp+Zwgsbm\n", "uy1+0+sSvuXrkZmxbpO3NC+wIvK+G0pEYYDwUH+zev5Q9HxWzvBpbFixf30QJU06t2tI67oyZs5F\n", "2j5PVuuQxt9jV58qaxNh/0qdO5L8lfaN8XRfc0TAlvlvzQ0Bdzi4fzcRrtpUDa4tWH3lA17x5PEO\n", "uHEZoSpNHeD2QcE5N8nnmUi99uI94DR6OQByhXEagjQXMeD+j5RsplauRjA3TEIA6tgzcCsyru00\n", "5cbx6WkXYVseBnakjm5hAQez2P0TnXh5znFiSD/QZUgL90Jmo5loiJGXNY3cQIZiwBb4Be3vvaKF\n", "fRLS7r1Bw9zY3AUzo+cP8sGGH3LwVydepx2dQrV0ahNqaBM+IB73aPwbQM3odL9Hhff+COKueh7x\n", "jZ2CaWns/iB7pomUAOPD+2QzglA+O8Gz7Kwo75LIDBRrcT9Cp/YY57h4dH+x6PomVHDssLHxEQrm\n", "y9z/CdWJNy9CDOE1xA/l+7V5SZm+TcZsqH1jc6Dv71tIS+aQgLUA9ZqNDe3eZ2QITpv037TEPIq8\n", "DctMyAvbc94ILB1dn5eg6dq5pPwBludJKmjXEIXC/xG8Wzsw8uQk35wEIXBjgnXgxeg9f4hwfgdS\n", "wm2FaGKWbtKvzgPYcBNgUkvHgdRpjLqFdSKCSSyX7DmHgHujYJFsk4u6tmD1lQ94BVv5O0gjBWLa\n", "HZZsiKPALQlusP2OMVV9TWibq77MJKaQAMgVxqc/OhHHgsBfKAgfkZTtaxuOQybDrdCJ95oKZUfb\n", "gujKTUOdru4v2oJ5FlG4iSAwFZkAx7uEdftwFNT4Z9bnSUgLlosXuSnCxf2xyfh5Nf6J9v/j0Xiu\n", "SGFYkEku4LAusOf194KGLdPmQBuPAdZ+ThszG3Bg9HsIeQbsE5FGYHYypJkIL+SAZ5q8z6ss3z72\n", "/9t2/Vz7fVCmTM3mQZH5abbonaxgz/2taNxntL9XRxxIOQHzOivfYAKyed8gcBX0cyaCMHtk1K8r\n", "yGymSPt0AbBVhfo3QeD1p+z3xVb3zdQLVgsQHEj+mhuzkjZmI2jDDvDPVZD3ZCSIrZW5t4PV8QEF\n", "oZNsXo63fA2hkyr0dShwPJGnMdLoPWTzy2OqFiHEUv2Iei30HZTHz7wa+FHJ/ZyTk4PJ551H4o34\n", "N3ArJ+3uVyBgTevhcHq9A9NSool3xyRwD4Cbt/EjcXOYMHYvihHlwP0dXJ8oz+jkd5RKtTxTQkJC\n", "0XbUk5U+SAk4NSnfgU6ZDqni17Xr/Snh8YnKL20bVBUw+LNEgp61MT2dghlOIPgrHFzu5GFWbM6z\n", "eeE3r2uia6mX0zzIjJLb9PvZ/3tYPc8h7zqH8HN+se9Hp4ZthFMA3hdtCr5nfRvgRDrqQ4vUadiK\n", "8Bozo837YOCkCuM9jkycP6Qx2RJpDS7M3N/G+lEoXFq+yyyfJwp9zq57UPs6XZijI6M5MM76+Re7\n", "dwBwlP29KBLOGkxkyKTmgDMy97akSSxGm+ePxXMaCSne/PQ2EqRTJvH7KWB3z7SxCjK/H2/zeikC\n", "OefmCBR+GjLRxSD3SnihqB2PgXzH6spqnWwuLA9sjzksUK8hvcLqeZSCMDIET9IJtHC4RCbgOrqP\n", "6F4fxLI+a3RtONIqO3RIuiV6N68Ac1Rosz+mZafAyal/fp33B7AewTZRQPPwMLiNonYfbgtWjWPX\n", "2x2YllLRRPVpu+RDGYXiQt0TCVNxejU5QYBA66uBO6v+Y5ti1bG2MK6PsAm+z8+jU3Olfttidn30\n", "vBfSAsdOpr4cGPwzdCo/B/gTERYGUThsQsByRKmPS1igHclpEp10v0TmrV270N8+1r+NCSfzrehk\n", "ueZH9v9tURlbrOdwwn85p7iDOOGM1nPySjzMRSF4PJfQSPI0CwcCh1ARs5e+X2SCOhEBzGdAkQGO\n", "IDrpR89yQpO6L7V8Pqbgo0jbZxxWMptG+b+D8Eor2O8OGrnQViFskrsg7d+ySIt2VMVnXsfK5wDs\n", "/aimUZo7yu9DKvnN3AHLZ8oMoKJHmtXrtTEz2Fj4cXwNCRu7EUxl+xK+vcIYepl2+hKCZb+CKA0a\n", "OL6i/DOiw8Va1JtyZyAcyI4tactjTPdroY81IvZ6JMT+nnoPwb7Ie25udLjog/CHMUO7x6O9bXOx\n", "jJbjNwhm0Mk9VeTk1JOmv4JnL1QEPAbuJ5nrbVNgW7D6age7iWB1fnQS2aJAmPoC3G9NeEq1U0ub\n", "sOX43wAQIrK8mO5hAiIprBy8FAlV3tX5LeAbLfZh7aL2qNcaHYm0MUeTnMzRqfIC68NjSPuVIy3s\n", "PE2ik/91yLvoGstzTkk/+6HNP4vTsHHw2KqnkZnKs2Qb31Vw86cOMO9NnxdZXxd2ijm4kYvoH2IN\n", "2whgvbjtCuN8dLN8iC/oKCTg3Ic20B9ST9j4B+vPNhXqckg4c8icNML+nkij0LSpvYtTkcC0M3B2\n", "pl6P+ft+dG0UTdz5o7wzWfkPacTs1NChYEDFukYh78caEqT9uzq+yTzqDG9Vkm8OJCDsad/XAIKg\n", "flqSt2+YS41j1qSdpZAAMgkJJ4WmUISvewgdZOZP7q1OwN5lwy4hYL5D+KcuxfJDuK4VMs+/FxK2\n", "j4quj0OOCg6Rtd4dvaMbMnMwa+4bAe76gj3DMXlpDuhBmodpKfV6B6alRJMTwKfI8yJ3/yVw30OM\n", "uf6D6wC3OQpRAMJiTaKaq20vj8NSBDdlZ5vVgS1sKKvaIjmScOJ9hxZNnrYg/pqSeIeY2QCp/Hem\n", "HmPSYf97LcSnSKiqWd8K2fSRYLMBwdPsMwrMBLap/QO5QReFcOkgBFvdGrmEO0QH4blpxiVlMl5x\n", "2VSI10DCygS0CS9EnqC1hhjUvblyOLBIJs+vCcLbtWQA0QQPv1JzByF4sScK3RuFF3HAhJJyYygx\n", "ZRJAyWfa/BkX3ZsBcTwNQprNLKDd3okj8k616/2Q8N1Us2RzKmasH0QA37+E+N4WT8oMQPi9i6mg\n", "WUJ8Yq8g8+tgm9tfEvFXIUHxRmSq89xSDRqzJu14nrFHkbPCmJK88yPQ/CUknsFW1iHtUA6/VyOs\n", "F4UcaCVtD0LCZWyGHZppY1DSX68p+8D67cfpEaTtrMRpOA7cuyXC1eSgOWAy0DxMC6nXOzCtJUpO\n", "AB9GH1V674ToA5sb3I+pd3v1H+HTTLkkbWjjvTxaLN5HXDalZKS2WM0S/V4KeXv5BesFKoB+u9Df\n", "xdEpcwzCLB1LwHZ8E+F4piOYAA9Drvc7IE+tBoxQpg1PC/DbJvkKvc6QoLKL1fMy2vAPs9/nE0DC\n", "0yflNkQAZG/6jKkZfCiTpou0tTcWOQ6sUiH/WBLNhr3jRzETKxKy5krydBAA/qWmXjopMDqFzXWR\n", "udYB13VxPsxNwNFdbvPw0ej+kkgz1gc5JTxQUI/XUDZgihCOqCkGCGn29k6uea2pQ4eAXZL7NYQX\n", "KvU+i/L3QTioXyH6gbGEAOf3Is3izYTDhCdufY1EG9OknWHUBzneiSb0FYgKYIC9Zz9n/AHEFX17\n", "SLPl0GGu5cDI1B+sFgHuSq71QVq1zYCN7NoQAubPISyoXzMmYs4mOXPf5eAWjISVMSXC1eTSFPEV\n", "0jxMLanXOzCtJUpOAGWC1avgtgf3V6SVSu97wSryIJxiwgogs8L5hJPa5yhkyciK5RcC7ol+z0fY\n", "MJ8EZmuxP7PSBCRs+RZAYOd1ScwrBK3Ur6Px7os2/77Ik2iZgno38/et7EdlGwnNzTY3EYSibe2a\n", "x5x56oknM+V2J9LyIVJOv7l9CuxTMCaXZa4fRgWhquQZOhBgur+lM63OmHhztPXvjQr1nWN5fRDx\n", "NxEY2wE/y+TfE2lCV7TfA0hMxIj+w2/ctyNthOczOp7qAosn3syZGmcHNq1QR0p7sCryVPTff0tB\n", "kkva2R/hioYgs+oogofprtSHGhpEwDq1ym21sZX7xMayYe4l+cchrOMp1HvrLUqgl8mOIxIGHXBy\n", "N8alL8L7NcRiRAedpYDV4/eFtLYed/UXOomBtR/8s0RomUAInDyuIM/kwjbxFdM8TA2p1zswLSYK\n", "TgCTwA0lbwosS9EH1XlamBImNhI8fkrwKJqIBKxSzhtbhM6lXuXuvWQWIwBBn6Brp86tgENK7nuT\n", "1aLoVDp9es/+9kSHn5KYtkrqns02ptHRAn9qSf5voJiP3y7Js7PV85wt+DUCFsibxM6v0Le7LO8B\n", "SDvT4L5um+eY6D2NabaII3BzYXw05FF4NdLkDEIC1okogPLuUb5NrX9NY78hbZsjgM0H2zg68gLj\n", "OmizPgNpZo7F3OiTfB4k/lByfVlKTMpJ3tVyddi9eYFDW5zP3yRojTym594mZZYFTqlY/4pIq/IX\n", "e1dbWxvvYocja3tThFl06Jtv4FsraaNG8Ni8AoWMKePcGogwcVuQODIQvA3fIy/4eFLVz3L3K/a3\n", "D9ISd0T9GZvJtykStPz69U2CsO8Phw5wCyDIR9E6f2uU95GCPJPLG48MbKAdhLlkvHq7A9NiouQE\n", "sJtN0C6CBZ9hCggjgFT7x1IP3r6WTGDeqMwsREISOoWn+IWxBKD67UyGeIa2wN+PTpz3IdD1xnav\n", "A+GVZrJ36E/uhyOcyeL2nKWcW9bGt63sfyln2z4CYbGyCyXC5XhBc3u7toj9fotgdtqpwrP70C9r\n", "VhyrUcCt9vdOFGDkEAh9bvt7eFq/1XNJ9PvHRJqq6Pr3rX9NBQICX5UDXrdr99nvsvhyK5IRqKL7\n", "XlB93n6Po95DbDjCcx1gz91gErPvwxO3DkjuLVLl+SzvEKLYi3bNBx6eiPBvp9KI71sVOTRUwkJZ\n", "f/cFKS/gAAAgAElEQVRHOMj9kVD2krXzK5v3m1jbcyBNkkN4pFa4reYi4MTeRYewZkL7MIRTXB7z\n", "3rPv6w6r5xYymDWCRvfcqv1r0o/lSDxlrR8novXh2OQ5PdbLLQtudvt7ALgrS9b6PS3f7l+xYBX1\n", "Pecx3aM0D1ND6vUOTKuJghOA9wr8XwQLolPbQdQHV72RCtHckcmqLPzDatGiey1dCMNDBbZ5Wwxv\n", "sQ3uDhrd8kfZ/xdZXx5BWqIlkeB1ULrZRWU7ojY8qPrYbo757lbPywRN22527UqCaWbBqEwfJCAM\n", "Tury+KHNcuNr/c5xaO2G8D1VQNcLkggOSJi5K/r9HTJxAAk8ZYUs21Fe7z3oMMbtaCzm7uJYL4kE\n", "FYeE6unRYWZglKc/CnGyEhJUv1ZQlxdMlkmuj6C6h+EApGHztAc1pGn0z72+vZv+Sbm+iIS1FaHn\n", "98hhZJh9izsTNNHbETG+o4OH33h3bHGMD7Vy/0aasSsqlLkYrTObRddGETRDuXiTMcXJgq30seC7\n", "+BvFcQEHIseGWnLNxz11e4JbO9oLDgT3WWa999YJ76iUu8dXQHNAiWNOO7UFq15P5E8AX8D/DlgQ\n", "aU12IXAEOXQiW7WkzKrAcRXrX4+AIbqMFoCxUR3DEBA9C3q2haI/4mHqj0wefsPqmyyK3gT4CRVD\n", "A1kdryITx5pW/j1KvLOsD2Vavn6EmIAHR9c967jHFL2Z9L8DA9ZG1wZFY/wf4OJMe8sAN2SuH0iF\n", "WHkl4zIAaXe+Zte2R2a7reLnJwh+WXf6pF6vuXFIA+kxV5+S12Bsg8yBK9nvgTTSIdyKQOMOCflD\n", "gN3s3py5MSvpn+fZ2jdzbxWaBGTOlBmItOCDCUDwmyqUG0IF6gGbaz4+5DsIE+Vj5D1OvYl8AIGQ\n", "820qYimjdjx7+U+QabSZ1mpBtP4cQeRRiDS9Dpn8GgLME8D+DZjBLszjOI7h10gcC+z672yez2Pj\n", "7voR4rouDe5oAo3O0uBeLNFKfZhcb9McTDmp1zvQTvYi6k8A/xNgQQKu4ploE/s7Oimn5ocOv2nZ\n", "75kpcauO8m1DAL2fnW52rfa35N4+SBtxJAIQP45pIpBZcw/7e3qC6e04hB8alXvmTBuHo5OyFxAK\n", "SSWRueVCSoRPJIA4RKgab2zeROlNZ9c36VdH1KdPKebKqhHCtgwk4rIqqXsDSoDUNn9+hUy/uxJi\n", "333Lnm9hy9eXAEquQhXgXe8d4sKyQNv8syD/avYOz0bC7wVkuLIIQZw/Ta4PxIDvFeeiJ9W8KHOv\n", "ZcHKys1l/3sS1U+a5F8MYdsK4wsm+RdEOL4VbKyGE4S4QwmHk2uRac5zW1UWOKO5PwkdMO+mAj7Q\n", "yq2Dvt1VomveJPwsjQG/5yJwvfUkRcHeBXNnfqSFO5SI0/AecNPZXJ0d3HngZjIB666KgtV4phzL\n", "RTu1BaspNjGFgwURcPTxqB8vIpNAEc/SUIS9qCwYIU8t70VzMl1QOSO25iru63vYhjTWNoZYUBmB\n", "4bkIbtP3IrPLjrYRPIB5iFVoxyGzVCEOAmHOCjEwSNB4yeraKbo+q137mKClOSK6XxSPbTHLO77i\n", "uM6JPDsXoRyTND+mLUDalN2T+1sSxUhDAtbFaT+tHge8VrF/v4jm5i4EAs1SzS7CvjVokaL7nh9s\n", "YvQdpBt2DZkiTyz6NgkeoU9n7m1FFFexwrMeQCSIobXDP/vq6GCwU6bcycDNLX5PByAyzB1tXL15\n", "9gP7fo7AnE5Q8GQvuLSqgfPcVi8i7d5xNFk7bO7fj3CQnn9uCMGTM+cN6udJj2n8bbzniH7nzOdj\n", "iDgNXwe3or2zDnCngvujCU2fJIdqqDcFjmfKsFy0U/R+e7sD7dTkBU1hYEHbEP4S9eUNpO1pEF4Q\n", "109TrVRBO4dHbRRu3BXqOYFyjUk/hM+YheBRN5Pd65PkXZ+g1VkoU09uAR1gG2x/hG3yBJcHdPM9\n", "bGv1vEIkoCFGdwfcRtAYxJrC1YFLM/V57deTfiyS+/3JBxW+hAr0AJZ3FuB7ybXDiEC/1r+fZsqu\n", "Z/27pWJbnuPMWdmj7e+fdHG8hyETjxdcnV3/OxnMFuIyO5sC2gGbF14TOyy5NycFeJ2CusZinrbo\n", "ADM3wePsRqTFaYh118VxWNrGYICtAychbixn/6fz5liCVrUyLhIdZjwZ617AfjQhELZvd3W0Hn3X\n", "f4/IC9DjmdZKysR4sC7ThZT0aQsyhLMo1uJ9EByVPkMhzPz82gPckyZweSHKm/t2Z8qxXLRT5r33\n", "dgfaqeKL6mWwINJoeHoAh7x2jqR+Ux9DBNZF2oyW8FDUEw1OIoNVaLG+PkXjhU72jyJhsYY8nnwg\n", "3QVs4/CLc2wC/BHShA2mCWDb3tc1CJuzo5V/q2yjQwLIeekmFd3vS8ChvINxbNkz+M3oJILn2cBk\n", "PGaLfi9kz+oDNb+CtHHzJm2uSGJStLq26up8RCbUQciMtjHarEehTXhmItoBgqB9VsW6j4vm6nhC\n", "oN7dCvKvj4RS71k2mHpvv8UxL7Wo3mFIazPU8hwKbNHC83tG/NUy9/anIn4vKbcDEip8AO7PKszR\n", "fkgTVTWW4KxI27I3OvjFgZjXjvLtgrS5z/vvpsVn8WbXd21+FIbqScoNsvEbiQljCBvm6xqZ5PfC\n", "30NdncslfbmCAk22PVODo9KFBCem5cA9FWmmvBCVCcLcpjmYglKvd6CdpuyEgJYXEfiAPkOb9vR2\n", "PwZFb41RE3SxrT4EE8CXGH1AF+sqxeHYoutNB33tmdaMn4uI+Rt5RTmE+TgYaYyOQubQUi4cJDAc\n", "RfBK26Mk70DbiLYsybON1fMSjfHGPN7NCyKPNunbFrYBHmT5G4Irx+8nGrusgJLkX5AS9nmkRdrL\n", "xvpSpBVbHp3kZyTimyIQse5V8f174P4kJDj4IN9ZrQQSADZF2CrPMZbFTBHM02OS6/NRkcvK8vvA\n", "xodl7m1Ei96L1JuvZyFsuuNsjLNEugiUf0WzbyYps6alvyAB4TfW1gtIQzg/AmoviITWSeibznpJ\n", "FrRRI4S+egIdIpamQixRBJ5/DjM9o2/8IYJmLV63hhHi8zXFDbb4TuYhOMEMJYmXicE95gD3fCRc\n", "PQRuLnt/w8FdQSAIjVKb5mAKTb3egXaaMpMtzGcTzBVfIKFn1ijPWLoYHiTTXke0OH8KbNCNuuay\n", "RTR7ArcF+z5b9LxG6mvI/JAz58XeRSltwWoFZfpQ79G2Q7TxlGrxKCdGjLVVKV5pqL2vicj86ICf\n", "R/dnLNqUCAzt3yvrWzS++yFhcYeSfEMxNnIkNJ2UbGiXEVEnWP7/5N4bIQBwlZA5gxEg3gHv2rX3\n", "7PesTcpuQROBnkAzsB7ybs3yqdl7KhsfT+x6ZebemUTanwrPvAhwX3LN057cirSSdxWU3Z8m3GuZ\n", "Mnsi83Ffmws/QGZkhzS0Y5P8HkT+cNF3WdDOfASnhXFojaji9DILOgDtiFFaoO/dE+fumuT3B4sn\n", "Wulfi2N2Io0RHKZHzhquP/WOSm+C+3qjMOXTTbQ1VFNs6vUOtNOUlZBw8UMCZ5RDru/zI+FnH4Iw\n", "0kELrtQlbQ4kEFl+RBQKojt1lty7kBCKpC8CGnt+quuoN2fOQPCya9AslLSxKALBr2zj5Oso3Git\n", "XKnrOwGEPR4zvSJBcY7o3uOIi8sBm0Rlf0BG44M2cS947JO+U5sTqWlwBBJOR1Ucj2Fp2wj8/u3o\n", "91DbeFPgeo2Ag5mpQltfJ3g5/hsJgg5pJbpqtpwX00xG38ZewJ0UCEDINHh/SZ0+KPSbmXtz0yQe\n", "YmaMpov+PoIQL/ELG9ueNnMNRJrccxBmaGXCwSg+gEyH1g//DbRk3id4t76APBErH7oQNcpqBA65\n", "7Qr6OJBAF5PloeuB8foxebPvdARGfweFjkpuftqYqv+F1OsdaKcefqFdxGIhXMJhBJW4Q158SxCI\n", "Jz2TcFPemxbaHUYAw79HiyfnpK5m4NZ1kDbjWoQZGoyEjZUIwmIdbw7BBHgXIgOdA5mwjqU5dmUx\n", "JAB5s9RLlHg2IQ+zuymIOYe0YB6UvQcih3zR7m1BMJv8MnqPo5I6/HP2RYLNICRMeWzW0cA5SZmV\n", "gV8m1/rSglkn8yzfJATPHYMAxn1tnFdGprAV7P4c1rcPWqjfE4S+Qghl80hJ/tWQBmlV+z0kfr8I\n", "T7Sd/e3Z/3+ANu557Xp/WtDI2PN6IW2mzL2Ly+ZLk7r3JvClOSoQdSKT3UUttNGBDkRjEG3DjNFY\n", "3x7NtSMRlcZxBBNW5fieNq5+3v8OCWhLVhkbtGbdhjwDa5b8Ie4B6uMMeg3iv6jgSdydZPN94eTa\n", "3SSC1FAEVD8pErQWAzdnyNP2ApwCU693oJ166EUqBMv51AtGH9i1Qhu8LY57UB+36sFoU/sdJXHq\n", "utnnGZCw4myx7PJGbfX9HwXhWGxB/SkyLfgFfwgyaRQxim9offscmVKGRtdPz5XJ1DFvNLalfEG2\n", "GS5XVC8SnvxY5bwwPZu7Z68upCZAuK8do9/ejPP1Jn1cyDbKZpo1HxpoeMH9CzGNARJ4t0In95OR\n", "WWZNjLEfYXUc8NcW5sJtVuZ+ghn2jyX5F7c+XIK0K89RENOSQHPRQMSItFCxQFajXHt6p9W1Tube\n", "5rn33OS5F47maR/CevBANNYNWj/kHfcJLXBxRXPyp+hwcioyD/t4hQ8jAch/bzWkEXZUIC9N2lkp\n", "+haPAI6hometlT0dYQn7IvOb104dH+XrR9B0lgaB7m5CZvCjo99LgQhDY2D6UBTm7BFwT4Cb166P\n", "qM/XxlhNYanXO9BO3XyBWiRa5rsieHS9FOV5xDa1DaN8kyvm1KwEQPFrtBCwtaTO6SjGVa1AxLBM\n", "xI6MgOg/SPLPSACbt8IptA5RUGWE83DAY0V9q1hvH4Lwk2N17kfQfhxp//8uuv+t3Lu0+dOHoIUp\n", "BV+jINLrIYFldEm+GrCY/d0XCSyxduAxksDVNkdXyNR1oPXtnLK+RfnnI1BN3IxM244KXmlIs7JR\n", "kzyev+1qm1fZWI8Ig3QtEY9YJo9niE+xNzUk3DU1fSblziUKk0PwhnTIvHgExWF2pm+lLSszzL67\n", "eZEG72VkIvUHgBSsPScBM9USjpKAm7vf5m0pXi4p24FIYz3H1moEQP0KUb5No75PlrXP2lncf2vU\n", "C3qda3hHsoaPQ0Ga12lc28+jHVZmikq93oF26sbLixjaRyA+lJSh/SC7R2STRyDQR6MP83Xk2twH\n", "nZzGTeZ+z0NwwX6GiEyvi/UVCiwIML0YOv1fYNcWQ2Y3j7MakvaBYNL4G/KK9Bw5pRsdwmoshoTG\n", "eQkCSyl5KDK5fqPk/mZWz8tI2zS7PcMI2zCWje77vnvBsYbMSp413WsQRtp78ALbF0goGRC1OwcJ\n", "UanNkTurLubIlBNjvbz3ZxqA+BYyGjMCVqiSgGvj4cf9BoJwUYpva1LnWAzzRNAM3o3iMWa1G8i7\n", "8DYy4VSiPJ5S4LbMvZmqjnFB3SsSNHeOinEpSQKiV8jfgbRU26HDWgfB2eCXUb6NkabJ06m8QguB\n", "1JGG+y0ru5vN28qew/ZdTvBzkcDOP54gcNUIAZK/39Wxb6FPncHc0zX8r+AOBrd6tIaPAfc2uCPq\n", "BauJ2NrWTlNG6vUOtFM3Xp5pqprFFJxAHTPvO9EH+SrSbjQAhrvYn6b4Ltts/OL4MC2eyDP1jQWu\n", "Krm/OoE13QsUmyHKgqI+bmT9+9T6u5w9261kPLgy5QcBP0PaAS+clYXTWRNt/lmiTSSIePbovaMy\n", "d6IT9q4Erc5vCVrI7IZum9u+SEBbHmHrnL2Xq4BFo7wrEvFJRde7dJq3cTyWeuFtF+vLjxCGry8C\n", "Q3t6B38IyJp5C9rx2ru3CRqmwhiDyI1/PwxcjDQxMdbut5jwjTRVDgnPY6nXEO0MHNNCP+ezuuri\n", "Odq9RYHTuvFtDLE6vGfvy2XzMPqe7qKJ1i5TbrR9Vz9DnFFbIo3QRKQFryFusjkQAN1jpi5psR1P\n", "ZPs+wtHtk5ufBWU7kElwT/RN9ydAES6K8q1h1z6gC1q8Fp/nz4AbWbCGv4xMgPEaPs7uXV0vXD1P\n", "N4NJt1MPvtfe7kA7dfHFmU0+JZfLpcfArVb/EX5mm+sgq6vL8feivjTFd1k+H3H+IVrgzSlpu0bC\n", "I0UIZ1EDrqeej2o9dEqcDmke0nAksQnwoEx7RXQF3yAC3iNNkhdiSwUC5LFVZlbz5om3KADoE8Da\n", "37H/Pyl6r0iImT76vbyVebBJP1dEGsAVaL5B/5aMdycSOv+PetzNL23THY60EHMB+0VlvCBeyhcW\n", "5R8ezcNLCMGlC7UwCEO3o/VtLko8CJHpxQEvZ+7NQLIZIyeJ+Urmr3++uZN7IzDC0ha/iQWAraPf\n", "MSh6RSREZj1cEX3EX4qevaTN+TGvTyTsPEvQNP6LRnD+EkjwmkQkmFZop0ZwdrkMafWahpJK6lgN\n", "C1qOBEJvmtw8ynOrXftxq+PfQj+WAnn5jbe1+rMmB2TvEfiIXUuIQt9HWsFKnrrtNPlSr3egnbr4\n", "4mzROqjkQ3we3DbRhxfZ7G+jB9x0aQ3fNY7AIfNnWnAlL2i7TAN0KQI8T4e0FV6AXBCFuJnPfi+a\n", "Ketjnz2KAXmpwB5vz7cFCqBbIwTCrWwyK6i3D0Hjsm96z48FgRX+APv/L3ZvOjJhVdDpfU1kutzE\n", "ylxT4X2vg4TVZoLVCCRQ1BDnzojoHTyQyb8/eaLMmaJNo4qzQH+Cec0hU53D+KwqlD+YJnQfNoec\n", "zeexwCwF+Wa3ubgNcEpJfd6bc7Pk+oLA37swZ+Yj4mkieKU6JBSOavaMXZyrNeQNeBjS1o4gUCzs\n", "HuUbhTB/p9q9x6p8Y1H5hQkhalaxOd+S2Q551P4JaUf3IRwGvVbSx3L8mBawXC32oWENXx3cD0rW\n", "9DSkTfRt+LBCDkVOKOPw67UIHtNK6vUOtFMXXpo+js4AnunH9xq4ncD1tQ+tBm5NFEW9lU2qSR9a\n", "xXd5turL6aYrsz3/VSTg5+j+DEQaEfu/H9JQZTdBy7Ox9fEjxNy8JhJM3qACPgfhnB5Hpi2vvSvV\n", "OCBqgd9X6NNrmHbNnn97JARuSjAn/ReZ0ByGp0F4mV2i+ha38nvYc51tm6FDnnrzRXnHkDBRI3qB\n", "s1t8V8tH72EkGe9IJIjmBMBVrW+FfFBJ/tkQuNnPu9tbKV9Q52AiMyJhI/4UBfFtiG1o+QYhHE8h\n", "eD16dgecnFzv091vxeq5LhqPj6gQs8++lx/Rekiqg5A26vfIe9ZHCfgvxo9mc/C7yBzn+claFYyO\n", "tXITkOfyDWQ4okrKr4U0X+ujQ8ZNVt+thAOLF1YKowd0451k1/CbEbaqSLCKgzAfUC8s1xCsw6+z\n", "t1DvrNQlr/F26uL77e0OtFMXXppOG25g5sM7laAerpmANT66H2mTuuXxQkV81y9Dew5hurpldoza\n", "H029W/uCBADqAUSecxjnki0+PwfWyNQ3ksDldGBybzGKXe+nox6L04fAYn5jk2cYhE7rWVOI9fef\n", "Vtf+0fVhiIvnQmRG9HQC1yE8lyNjfkQmsjttI6lZ2RkIWscLiIQmZN4spYgo6HeRCXIRIiZ4uzYW\n", "ucOviDz4ZkACrQcY7219u7yF9j2Ltp9zjiZYHgKNxDftHcYxMOehHoPjMXiTkKddKnw+WDRfCtr2\n", "wb1zAPYd4nffxW+lhsg1/Zhs5a+XlLkGaT5a4qxDmK470Br1Z+T16Ckl3qAxBNPadu8LEhLaJu0M\n", "QF6TDgm30yFhrrIgauNyvr37WQhM9YdGz/Kl9W3+7ryDTNuFa3iz5NfwYeF9LhHVuxYBXzgeHQJa\n", "9hpvp26+397uQDt14aWVfJQX2oeyCiF4Z+6jpBuCFRXxXeeacAeTn3MFna7H2d+/xTRMtnguAVxh\n", "vxcgc2JHeA2HBJPKwh+K97Y1QSMzCpkPHElYj4LyZZub59F6k3IuJI/5+aFtBJMo4I8qKH+hlS+L\n", "Ybg5CifS1GMU8Wj9MHN9eeAnybU1Eeh5ESRkXYu4jzyP2hnWt1ZY738ebRheMD26SZnZgd1tc14a\n", "eLok78pR/Q3gZrRJ90mujaAgDp3NGYe0N2m5OelCMGYrezkm4BFicDqk3akh55GiA0MDgWUL7XYg\n", "p5GNEMD/2wjX6Uh4spAp2muGbiz7HjLtfNPKeZ65uYlCJFWsYxAShFdH+EuHAPdft/u/tmu/7cpY\n", "lLTbbcHKUgNBKPJGfowg/LfkNd6Tzzmtpl7vQDt14aWVmAK/APdwwQeZ2OS7g/tpiu86Nfr4T6Be\n", "bd2NdtcGjqsyPtHf69BcW+HB4R8hrcmCtqFdRhMgKDKZnIAYy9cjCAJNYygiwG8RQLpG8FhKNWj9\n", "iWgJgKct3572/2N2fXtgz0zdK1mfPcjfh9MoDEBrz7kLBvqtMD89ru0BQiiYA8iYVZAgdWlBXbc2\n", "61uSf8GojCNgzwqDWiflj6GE9sLyLB7VvwEldCE2H9ZBThFnlOTzmrXRyfWdyso16efSBPOxx515\n", "7qbZKDGLJ/W0zL+GzLFHIgqGDQhcYi8QIjkshszzqxEEr+1abMfHF70NmaknEDmrVCjfD5kEz0Ch\n", "kLwg9RQSuuaO+lZKnttiv0vhHEUpWsNLBSFkvn7N593L9oZcnYnXeJvJvSfeb293oJ26+OIqCDdp\n", "OpAeEW5KF4RJ4I6OPv7TelCoQ6f+OI7fJhjHEiIcvZJ6EsoRBP6pLLkkAke/bX3bL7l+KTBPhX71\n", "R9qYQ6NFuJC7yMpsgTwjs6E9COahN0g0bEiAuh2dekdavs+Rm7sDzrJ8sxHYzcdFY/UbdKIdi2ga\n", "PNv0ZgRqitXTTQ5tzi1xQSH3eh9KZHoy3nFIA/TX3LwggJ+zXnWZ/AcRvDodwWFiqW7M+XmJCGyR\n", "adDXfzamDU2/E/t/LeDuCm3cbPXtkKunu8nm8xdRv4+sUKaGvEyv7kJ7MyNN6likLZuHIOT+LMo3\n", "HAk3RxEON1nC1ZLn8t/v1WgduIsSL9uCesbYdzGYEOT8DLt3pv0uNe13YYy6s4a/TIl2CbMqDCBg\n", "bUeDe6tEuIpiELYxV919t73dgXbq4otrgW7BIZxV9OEs0Y12C1XYXyJvFcD1AXdxcr87Zkgy3ixI\n", "g7Vk9Pd1SZlzkDZqAMYCnqn3cuvTHbRwMkcg8ZQ5/Byr63cVym9DganFntWr8hs0REiAuwbRAmxg\n", "+f5KwFI0BJFFglUDjxMCh/sAzJdG4zma4BU5kIrmUdskG8yWyOuvAaBszzIEad1msr9PQRqeEQSh\n", "sWr7NeoDiH9p/5cSUSIh9AQkUPYj8lpFpJe7Rb+nj+rflMT8ZGPdIGw1ad+z5Z+ZuXch8M1Wv5lo\n", "PHyImz9F/X6KgLPL0lggrNmrGCarxXb72NysISb2l5DZ3CEBLyXk9aZJR4tkl4jHzQvR0yNhbUwX\n", "+rwuItJdgSCEfhsJiX5OrdSV91DQ3mRbw4mEtjvAzWjlZiZQNZQIbV0+eLeTjX9vd6CduvHyKgLI\n", "x9Nzql5KBKsnEZaqH7g/Zu53RbBCbs/PJptl1puFehPgxcjrqIyV3bOZf4QEmRra3JtqN5C7+JmY\n", "JgN55k1EG3nWW7GFZ/ZYj3/RxIOLwGJ9HsHDal4K+LYy5TuszKSiMojf6S4qxJGzzeIuX3d0/XAi\n", "CgC71gcRgq6CtH7HI5zT9kiYW8769mgLY+fpGT6K5ss7FcrNgEhTr0KmuxtK8vaL6t41c38AeeGy\n", "nz1vg5Bo88mR8V5EjhddItJF4HevefGmYq9V/QbyDi3Er5V9PxXb/zPCra1iz+HxVNdFeWZEGMml\n", "kRDtaM3Drw/S/jp0uBmEgO2VCWWtniMRxnJDQsDoN2xOecqKu+hBmgImwxpOxqrwCrhFrfwAhMVN\n", "2+gpqEg7tQWr/+lERHkw3E4cKTjxwPpTTrfBibmPNk7XIpfh7n60FHBk9Yt+W3oxXYRtoV0MAaGL\n", "OIZmIpiJ9sHMD8i8+G8qkJciLdnMiIDxEqurVFtl47cpmZh40X0fUuOQzP2DicyTBGqB3aKNwHNH\n", "LZspfwWKJ+e1fnNYuX816fdhZLwpC/J6d/UHCPECryDiMkqe91bygsgu1rdKwGGra99oXvg5cm8L\n", "8/sUKoC2CQLAmZSYKZH26mTsMGH9a+BwQ15tXujpn9w7jSgkUIvfa0f0rue0NjwT+1kt1LMwFQla\n", "k3JLI63Pukg4mZMg2H3b8vSz+TsX8kR0RPQiFdtZjKBlugUJckfSInmo1XWm9dd7M16NtGDe5NgQ\n", "MLuricmwhlNw+P0EBXT238U9PXT4bafMO+jtDrRTN1+gFuSv1J2WyYzvooQj61/gHrBr0WLzjH82\n", "hDl6wDaUsRQIcYT4cffQ6IlVqO3BTEXR7xrScHi37FKXcXQavoYCIKzV5RBDfW4DPhZpHhZDJ3O/\n", "SXpupSst32DbsGZAeKy+lv93GF8S8qo63cr9HTMvoKDUeybtbkmLOCWkhepj76SDDGu89fEV8t51\n", "npOrEscR0nJ5wL8PwuyAX3Vzvi+ffjsEofwOxHo/Y3K/Zs8+KzLBNTW/2zg4YOnMvZ7CWsUC5we5\n", "d5IpMxqBzluOIWpz7lpk1n3K5tvt1v47NOIHBxCA/Me32JbnA3vR5tuSSHvbKot8DZGX7kswk++J\n", "tK6ObgZUz7TXo2s4TTwOzwW3b8G9tmDVQ++0tzvQTj30IrWIxOYgZ3+fRw+DEZnM+C6/yMxu9X+M\n", "Ao+m9U4At3D9ojML4s0p9QpC1AEOhbI4wq41XShNCPgdMq/EHFoep9WUONPqKMK01AjBa7Okkgj/\n", "cRLCrXi3/yeR6dORaLlsc8/iTRDFwMFW7iEC6H12Auh9ZloLyDt7upEhQXzjTN5VkQnsPKTZmBMJ\n", "MfvbfR9AuLK2hoBVuif6DkoJOq3cMLTpfwsJhAOjez+nEU8XA6a3JqG3QBrD1Vr8ri61OvfKvMJQ\n", "f7IAACAASURBVMNX6GK0AiRUr2Xz6ySC4O6QhnYQ5VQbA21+NSUWLaljM+QVerrN22es/eOSfAtH\n", "8/pzMtERStoYRHB2OMyuXUmLPGA2519Cmq/9CGvFGILwu3UrdVZst0fWcLrvcdg2BXb3XfZ2B9qp\n", "h1/oVxSygMmE78KEtqHgrrE6zqY+zMMt4I6PhKtIaFsB+BWwTUn9MxO0DUdhXoa2eN3XbMyQNu1s\n", "JCAtggQCvwkUut1b2T6UY76+bXW9SXJizPULsVc7hAvymohlkYYhl7+BPBEJaI4CrQ7CV71OBU8t\n", "QrDowTbOsUmwgdMLmWv2J4QRecje/6r2+yXrW2UPL2TmdATaC0dGqMuUGwgcgkhWd6aJZpXgOXZP\n", "wf1CTRAitGx4JkI4ogbwNqLI6BILu72X3yGt0UrWxrv2/zVI8DqlrM/dTUjT+hNEaXAjQXiaSBDi\n", "ByKBeAmCZ+eDZd9Mph1POPoxwuutg3BtLYHOkZA20tr3Ya7+RsCpvUCLrPQttN3tNZxe8hpvJxv/\n", "3u5AO/1vJiYTviu3IExCHof+9z7gvp9fEP6C3LoLsSAISOsQNinWOs1QtviSMQ8iXJXHYfyywrPt\n", "A1xWcC/WVh2eub8tSbw5gou+x1d9apvBfbZZjiRwBi2OTqJ7JHV4UG4DoWeU51RaBOQj89jK9lx3\n", "UhBvzTa91TLXhyBA/RdVNzDEYXWfPc8RhHnxtRb6fV5RX5N8Htv2KiWYLHsP91EfCHxZMgSuhGDY\n", "/8jc+yNJkOauJHQg8I4gEy1VAsZb2YvpguYMCXf3ICLPUxC27y7rxx3UB+Wu2bvsNMO12NbvrNxz\n", "VtcyZMIlVaxrFqvPa6pOQIzmDh1Kpsi4e/SS13g72fj3dgfa6X830fPYgAEYsPUWcHcWLAKTkt+/\n", "Ce18WLbAIe4oh9T6lfFCSEB5gkYczbJW30c0IVtEWpxbKDYDrmV1/ZdMGBHb1OYGvo9MmX2jDXJH\n", "+/+upMyPsTiByMy2J2ZasbG+lcC6fpI95xE0EpKuQwvcQlG5GtJKFZqQEAnrFpnrS1m/nm2hva0I\n", "Jro48HB3TFj9yYcH8qSq/7UxbCAVxTRASFtTxRzpMXNfksG40ANxA60eH5jas9IfWLHcGUio6NJ4\n", "okNPH8S39ldkQvfem7k54ElN38OEXSpocxCuzX8bm9q1NYGDutDnX6ADzOlI0J9EoI3wcfkcU2Dc\n", "PXrBa7ydbOx7uwPt9L+f6DlswEiQO/Cd4M5LFoC3wH2YWRhOJ4TOyW1IVvfMCCzrEJh4Lrt+LBXY\n", "npEn32XJNX/iPqmb41cjYIKOKsk3AvE+/QbhPRzynvqx/f3jTJmiKPcdyHTqWcqvRILiIEyARO7x\n", "pSzkSZ0LUB9jr2aLewMw3e7/CDGLb2/tzgb8AOFstrV+VSZltE3be5z5mImftVD+PGANZJLyQtGM\n", "ZFjhCZrPT6zMfMn9rwEPN3vvmWuPWr0rJ9eXJhGcuzDPxiEheTtrw+OcHrX7+1LOvj+ELtI+RHWc\n", "ae3OjFju97A+vE2I9VlDJtkxBCeEm2ghiDDBO/Q1tK4sicx3I1vs71z2rXwHef+6OPXrxkFycid6\n", "wWu8nWzse7sD7TT1JLqJDaDF+FlfgjsJ3DvUxSLMnfRrhFP6PXHfkFCyT8X++RAwayHNkd9Yq+CP\n", "1qSYJ2oNq+stMkSWCJeSAsJ9cOLbCOav3YBvZcoPogCnROD/yVEzHEFJzLxM/rMRhmdh5J4+HGG/\n", "ctguj+tZ1X4vg0wuaxJ4jRwlJspMnZ464t+EQMwft1D+MNvAj6KJJyLBY9GR93aslX0DyASao5/w\n", "cR9TJ4TBwOqtflNJHcsh4XkkwczqD0OL2zyrFDyargPphyNhaiQ6JPQnhGSKGdm/bnnPIni+Or8+\n", "NBNmkJDdaa6N5scTRd9hk37PRDABujnt/yHg3mXKjbtHL3iNt1NbsGqnryDRROBCgsXCyGz0GdHJ\n", "apJpqT6k0QR4P4pJ+ES9lixXvzcpfEgLOBUUHLch9AcC13pm9GMq1HMgMicUbcCeIqABB2Ibzx0k\n", "AhdBY7IvIejz2sjc14E0QR638it79gZwPSHMyFxIAKslfbsFmLnF9/1TROUwiiTocpJvUzJcXXbP\n", "E0lW9r4iuMP/zfrggLdb7PtlVHA1R5pOP+9KBR5ENpmaV2fMbfAEvNw1yfVhwB9aeZYmffLCjJ97\n", "DYzvJWV/DtzRjbYPRFQof0eaoNcIMQyXiPJ1alwwISaOg9pMmEHC2USr+xt2bQTGn9Vin+/ENFQd\n", "1t689v9RUZ+m1Lh7fIVe4+3UFqzaaTImhJNpqr5H9AXL20J6FeC2QWR2Q6NT1VC79gi4j+zU+CDl\n", "3iwIfPqW3X+eAOZeJrexJWVHIY+gzZPrHg/Vab5oUs84CiggCIzbH9A87MpBSEhciOBW7oXG56J8\n", "MwMnRr9nwjyvomvnIu2SD/myBsIlHRLlqZHRllV89wOQRqJMa7MH8IuCey9YvyoDaQmau1sIGKjX\n", "uzmH5yHDOUbQiDmbI5sVjMEgZMa7o2J7X7c6x2fu9asy3yq2c7S1c439/2b0bZQ6CyCh94Butr8R\n", "0g4uj4RwT1nyAMGb9M+AWwDFuQPcIcnhqpkwQ/AOfdjGbxYEai+N5ZnUsRQm2P0T3GzRegS4weDe\n", "SPozpcbd4yvyGp/WU693oJ2mvkQBa3qR+pn6uGy7J3myZZcHdz245+oXsS2TftQQOaFDWCKvwelA\n", "p+QGU0zmWeYi8hKj3nTR4L3X4jjVEIjXAd+rkH9L29A3JQhjfoO/qMW250OYKF/PGdafDru/LbBh\n", "C/XNQ0SOCsxPCTEnEjb3xkxuSIhdEpkH+yOBbxItAKUJWqTLCFQNE1oof5pt+IOjcfg2sG8mr2eF\n", "d0hAzNFJnE0mbmN0vy+JGRlt/l4Dmd47FDi6m3NuOqTR8zQhbxOoI9ZF3ngPdqeNiv1YBgnyXiO7\n", "EMHxYDeiIMKXg1sw+vZjrVUzYQbFQpxg1/9g176OhOFSvruojjpP5f9G2qqR9v/eSX/a1AXTdur1\n", "DrTT1JUoYU13BPV9tAi+gJk9rOzbZWX3sxMidkqNF9x0EUPEjV5wmDu5V8gphcwus2WuL4hOuw5p\n", "wUpNRrZJHgcsU3D/m1bXO+Td7zcAVslc98/1IAE7dgn5IMvrU8CYjQQZBzyRuXcK8NMW3vs2XsBA\n", "wuiWwB9L8q8KnBr9Pga5r6+GWOUd8HyLc+8iK7c7wVHh1RbK74tYwX8B7NgkrxduHQVBimnOibYr\n", "GVMpwZFh7eT6nLn50GqyeVwjkIR67eDv7XolrRjSNi3YjX5cavNmX0Qs6w8Zb9t87hRmPkY0K/67\n", "/yIjXBUJM/YNOERH4jnTVqACEJ8M2eZZiLl8QLT29AH3QrJW2b022eY0mHq9A+00dSUquvjeB276\n", "sPjcVLXsoeCWpU717xbKLGJIA+JPwDdE/asSp3AdRGI4MrneB7GcOyqYQhCr9TVpPdF9HxMwq4VA\n", "4XNybvznW7mjCOE/dkZaqMOBb/pnRUDurDcZ0lA4ZJKZjYjmAQGHXyYTMLjJM+9v/V6EkiC4iDri\n", "3IJ7nhn/2hbanZ+Ax1mH4Ao/voU6+gFXVczrHQ4cJTgyy7sUMp+l7OxFdAE+zNAxyfWxwMFd/TYz\n", "7Xjz229svCZSkVYDaYLeJ0OT0EL7/RF/3DlIS3UCMkk6LBajF2Y+A/cewQx3WmZtKBNmkJeh8+/X\n", "vo2nibTcZMxkZBxqzgT3Grij6w91brukP+3wMNNu6vUOtNPUk6hISvcZiveXqO+3blb2n+BeRaD1\n", "uOydySJGCELsEGh8Zuvf7CZoLNDkOWoIg5IKVh7P9DLVYqx1nv7TRRtpbBziQaoS8HkdBEzfmmCK\n", "3Mz+f5eAS1mCSNtGHiC9g21iHij9Z8SKvUuSr4FPq+I8WB4LKVKSZ35E6Jrr33FUEFiSMqsTgLlH\n", "RRvei92c0ysCozLXl4nauCf3vPaeZ0VCyGVU5E4jUE00CJbowNCl95K+W4Lm8z4C0e3edn90s3Zs\n", "/pTiAiv0Y3vMcxRpHLfAHFj6R9/+ruAuBrcVAdc0PrNGFAkzyCPQYz23tWtrIk/QDSjGgi4PeU/l\n", "idavqIx7oi1YtZNrC1bt1IOJCmEU/mZpd/sdqe+fKSv7Jbh1wT0dXfNld28UrLaxvz+mnvG6hrRI\n", "LQdQRdodbzKpgs0agviQigD8r9nfxxaUT0/ci9kG8D2CdmF7q+OmFp/Fh5zxAObbgRWj++eSAPab\n", "1DcDkWccEkC/U5K/hrQUpxM0AwujED2rIdZ2B+zUQh/6EwgcfYxBR2sYq+OQUDOUAOQ+loxAZP31\n", "bVxExtxq4/xC+i6TPMNI8FnIVOfIAO+BX9Mz5sAzbP58bmPmQxvdb/fPSfs1OZLNhd3QwWFxpDW8\n", "FMRN97l96+/b3+eC2wzcWPJx8MqEGeSN6JDgNpTE6xAKsaATybT3Frh7qdeer2732qbAaTv1egfa\n", "aepIVAz8eZAJVq5xAXJFZSeBWzNzz5cdUr+IxSbA41p8hoPI0yvUTPhwVIwRhlzSx1dYtG8m4Y9B\n", "ZrK7cwsyIZ7gM4hs0SEN2nREQG8k1N1JJDBl6vIM0gck13+GMVZXHLfRiHdqVYTbOpcSYD8hmPWo\n", "6Nq9iG5jduBx61cWm1ZQpwfiv0ygXXDAmy3UsbuN2Z9oEkAZaaJ8G1d047sZDZyTmW8+lt/syb2V\n", "6QFPM4JA60luf46Z32ghfBE6QNyZzuEW+/INJIxfhQ4wnUScR2TWg/8ibVF6vZkwg5wFPL3EuZhQ\n", "NQDcyuSxoBGVg9srae8mxKP3CMJY+Xz30AavT+up1zvQTlNHogK55x9o5KKKT5kDSsq+1KSsX8QQ\n", "Nsoh/NL01rc5gAto7ka+gC28Hcn1/oQgx9tXGIs5/MaYA+EvY/2NSE1T/p0axfQMJ1mZk5ELuUMh\n", "beYjYvpGXlZPkRGsok31Kit/aLyBI3zUzV2YA5sgjdO8NA/xcz6ZmHy2+X1q/apMLYDA78425V9F\n", "c6IVwWo6KnpXIm2Ub+OpCvn/QsKm3iS/B3JvlBnjbhGFJvUdYu1cjgHGyTD4l5TfwuZ6y6SbST3L\n", "IQqRWYANUTBv1w/cK9G383twNyJIQLoWVBFmkBDnPU7dIuAuQdrwNzN1xlQO/SiGKZwYrUNLghsW\n", "frfj7k2Dqdc70E5TR6oiWH1QcL2KYFWUEsHqu/b/J0QM0raYXkcFEyD5k643kzxHBTA3JSD8u6yv\n", "wxEeowqZIOKhugCRfvpQLVsQgugOsXxNqQmsruftb09yei2JB1o35sHxNDHhETSADcGLCZqnlvin\n", "CAL1dQStREuCVUE/Ny+YEzXEXO6Qd91ZBXWMQGbXfWmBngNh3hwRH1nUbuUwQ03amB7h9pwJR6vZ\n", "368iAXchEgqTgnq6HcMQmUR3QQeEzZDHpAPcuOj7uRdhKpckmAkdrQURRng3VyN48l2JPP1ya0yM\n", "55ynQLgaD26l+rWo85umzR01zaU+tP+1//XMv4+BDz9F0kfu39DMteeQegIEfCgqm/sXl0W4msPs\n", "7/2dc6/4G865h5xz6znnJuXqqdVqa9dqtfksr0vuHYGA3iDOpS/L+lSr1ZYBxg1H6Pm5kvvH2/8H\n", "okBoNyH3O2BcrVZbslarLVSr1fonxT5Bm8EMCIcCMtv0BZ5xzn1kff/E+lCr1Wq1gi6+hbzLQGZT\n", "kPBxU61WG1Cr1Z6u1WprlD1j+q9Wq+0c9XkGhB8r+7cJAuB/bOWH1mq1r9dqtT8Ai1qeF1vpAxKm\n", "QELOfNH1vlUrqNVqh9RqtT1qtdrwWq3WB2kqN0nnBHTOk8/s5yQEAM/92w6BpX/pnDu5oN3BtVpt\n", "7+Ty/fb/2DQ/cEqtVst9Tq3+64ewYq8gbd2XwL+QOXZ1JBwMalaJc+5zm3KjmuUtqeMDJIDsZP24\n", "CWmwuAGp0kBI8lVQHKYOuzYB2cff188bnHOPNWnuMwhSOGhCHgj8NpN5LuRyC7Ltj0GYAb9WfY4A\n", "YnPXF5sI/KRWq51vXfvQ0vu1Wu38Wq22ZJM+tv/9L//rbcmunaaeRAXweon6vhS83qTs28D19vcE\n", "Qky/6YlIK0v6/XPg9wX3TrB6H6Oaxuuxoue4x/o7GNzb+ec4z9JKBXUvFz2jj1X4CtLIzRTl2wUJ\n", "GANL+lkjYGoG2bX+yDRUWXuFNuezUDidte09lmKAUAzC3aLfyyAA+Cp2zwGntzj3LrNyPqiv1yZ9\n", "2EIdOyLM0WMkQZUL8r8YtdVlTQQS/k4mMkEj4cZrknJxIhvMqN1o37OTn4xY6x1wZYt1nA083gN9\n", "WRq4GpkEj8GA4zXTKHmT+gfgbqP1IMJEWFCQye51q/MfKJrDvzLfboTf8vPKQSFusiG14/NNW6nX\n", "O9BOU0+iIt1CrD6PFsWtulH2h34TJYqHh8wpTYMIo8PvPJnrQwm8OutVqKcGfAR5EP5a1t/Dihft\n", "Ug8ipJFzSID1IVu2Rt59K0X51qKA3JPg7TYyGrOFovsr0CQAcUG9KyD39aHNhIz/b++8w+4qqv3/\n", "mRBSIAkgIBggVCFciUAEBEWKBQwCigWkKEpTEAQFsf6u6BU7RX+KCgo2EEXBq0iIjaaCIAkKCqFI\n", "ABFFehJK2tw/1pqz5+wzu51z3vckedf3edazz9l79szsOmuvtea7kPxw+xVs+47265gGbU9B0hV5\n", "Mkb023W5sGE9TXLmBVeqrzGgHwd8ueE5DamY8umIjqRmsuSa7QROrr8i8XEeMQY3iXE7joK8jw37\n", "sjlifXw1wsi+KDrHLSVldJdKChqyMBaJqwL8a6Nn8RYk5ir1zokUo10ozru3e3gHgJCaVgTFLxfJ\n", "mk36KwPvgMnKJdQkCJ1HZ3xRl/v+hoxl+8hEfwqDasteaEiet09qvX+uUhZ0n8I4s+u1vxOQadol\n", "L+3UNPHzgAPI4qsOB57Q340GWB2sdkE8Gh6x9h2AKIU9xX8g1o7KmXzAGcBxBdsCAWuTQO9to8Hs\n", "G7oMqYye7uF4plA+qzLMqAvKbgfflZabhrgnG00IIEsLdUj+vgVe1su1ytX38ej8TdF7xCMKnEMm\n", "OTRKxN1DX9ZCPH0tpSmhRMXKzJXASxrU33pG742eu8tL3jdFzyhpQtG5cR9fXVDX8pqs2aQ/YjFW\n", "hn7jUODWO+iMRUB/n4QECt0hq25FeKe63XcR8jJ+ADg/3xnv/ZKSvv7OOXdYwbY9EbcUwMle35pF\n", "cM6NQ1KCJLEEGf1PANZObE8Gf2U4D4l9mar//40ERf/HR7Fk2o+1EzFaMV6FKGiT9f/jiHL1OuAu\n", "59ye5V1ph3PuEOfcps65VZB4nbsqyo9CLu/saN3GzrmTnXOHksVH/a1BN+5GZukt0rpBZpVBsxir\n", "o51zJznn1tQYtQ1IxzgFLM714ZmCcl8C5nvv96po/0zn3DrRqj/ocqdc0XWRZ6VfuBa5J0DChWbq\n", "78P1vv8MQmRbCefc/s657brphHNuLYS64SVjEfP39QiBW7jxpyBR7op5SDqhmxs004oFfY4s5vEY\n", "ii8etMVzztc68IKFKt45Nx3YchLyngJJUPqrRH1T6IyvbHAMhuUdg9bsTFY+Qb6oaydh7mHfY/X3\n", "E7QTgV4JfKlGP19HwQwiMvbvq6lnrXoD8CNKuLyWgn8msT5yBT5d1BYZIeUjZHFEtwCfypW7A7ix\n", "Rn/foXV8X/87ZDZWMq9gST3vQtxvJyAB11VuwJ1Cm9G6jyCz5nbRPjWayUeWW/BORLn1ZDM5lzao\n", "52CERf0R6nGVfT+6H/fvw3PzepQiRP/vrXX/PlduHGL169sMMzIW/l8jun+gvNiMmjPa9B56ki4T\n", "RRNZrK9FXP03I7GJLyFzn32l3dpzA5LbsTa3F1Es6CLwW2tdHymxVtWkcmjVuxT8errPmkg6nm7r\n", "NVnxZOAdMFl5BSGLLIpFqApwLt0XsbgEEsV8KpaXAtv00O+1ESXH08wlNZreAvjLXtph+vlPyZIN\n", "fxg4IFfuVeQSTkfbViOLsQrUFN+Otu8B7NPF+Xoh4p6sQ0WxN/CRkm0euLph+2GCwW8QI4cnow7w\n", "DerZhhy9QUX5r0b35hEVZddD4mlq5eLTfZ6ndS8icmmrAnNsnfPdoK3JZMr9eETB8mh6GZWQ5qXw\n", "2dVz2Jh+gUR85jUIDcIziCv9q9qP9cDfRluM5Vv02q/WTVt/0HqcKnL553Me1VQO5AiSH0LY4cO5\n", "26/g2TeG9pVTBt4Bk5Vf6IHHJb8vWYqYJU1e+FF9q6pysnZJeyElSjJ5cWKfjcKAmRog8rIM/AKV\n", "eyknE0QsL+9G3J4emRV+l/6uHVuidR0HfF5/B9b1n+ug33XONx2Ir6WeleeNwHcLtr1P+5RMzlxS\n", "Z0iBcyliMfGRouDpIoWR1vtyEpMaou2fjtq4jIK4J0RR3xr5KGh6zcLMw21z67duWldFO7uSxe3d\n", "FB2XH0v3weIN2u/4ILkX/LFIXtHFyOSPkLj9JPDvzfpyfhfvlbZ4zndpXdsi1qZYqarJNdcWX7kM\n", "yTCxfXTOLip4H0TW+Mm9nEOT5Ucsxsow5PCCVixCN/siVAC/QNjGj0JjZzSYaIKum+2cuy7EyDjn\n", "VleJOZ2WIDEqaxY0OQUZZEAG+lJo3acjiY3x3s8GZj6JmF/uj8rORnKmTNIOT0D8LPNl840+zb9z\n", "GTIIrKf/b0dINJ9DLCBxXw51zq1R1Ffv/TlkcWMb6HIZ4oa73jn38qrjzbX3Gufc3gjdw+re+8VV\n", "+yCs9PNy9WzvnLuGLD7qtib9QOgnQCyYk5BA7IcQPiSoGWflnDvIOffR6BwGy2gRnop+P4PEwaUw\n", "HQlAP8ZXxAM55z7rnNsnWvVHXeZjvTZH3MP9wo2IaxNgh0lkPFGzkKmjtyOxQ3pyZgDXOuc6niN9\n", "/v7unFu3TsP6DL0V5AsiYBOETOtkZLrifsgXzCgkyeS5WdF3IvxQsxrEKrXFc4LEbv0ZScZYEQta\n", "fUzIBftKtO545MYswQV16zcs5xi0ZmdikhLaLVWtZKkTwa+qX3gXROb0E8Gvkn35PUo6U30di1bI\n", "v3dZzX5OQPh/XLSu1d9J+jW8W+6LvwmvDULk6ZH38gH6+xFg96jMuojL6HU1+/17rWd3/X8UDVOl\n", "IBQLpyAcRifVKD8aCU6emlt/FTKGhhxxr27Yj5Ca56O6vEfXB86hQj6vXD1vRhT3O2qWDzF+npqp\n", "cGrUuQUwIfofUs6cmyu3DV3GMpW0/Qf0OZqH0IIA/qCchaVqRhvyEfAvEjNcC9otnE27CPwhCEP6\n", "3eAn556ZsennaFbqOUq02xHPWSCzEAW7jAqlMFfqi7SeAxPHl8+VWucdZbL8y8A7YGISC5mrL1aM\n", "lgB+K/C767q9ac8d+Bj4PXpQXrTtjbStZcC0Ho+j46WdyhtYh9cGeJNuuw5R4jzwxbzCQEQSmujP\n", "KrQnPQ7xaVvq/13I8SXVPM4tgFNqln0ecGHBNkdGm1HbJYKki3lQ9/u4Ln+k257R/3UH+F1IJOEu\n", "KX9odH2vqVH+EuCdDc/vK4iUxfha01ABrWhnenyv/o32JOcLEHfc1ZFyFcUd9aQMUCMd1mPgp2l7\n", "45F4KMCfm3uOJpQ8RyXtp+I5FyNGuoXRutIPNAriK0Ns2CqIezPeFuIrt8nasCD2lUAG3gETE+89\n", "iJWnYzZgSFS8BvjPRy/WOAnr9dFLt0h5eVu7cpV86aKJXylgYU+UnwycVlHmd5Dm5von+MejgSrB\n", "67Ul8rUczssnyKw6+9Agbg1xcf5Rf8es6+9DZtV1lUQXIUQ8o2bZ5yEWoY62ECtHGLxqx8vocYUZ\n", "bIE09VO6LSjntYkuc3UfTEkgNrBvdE/NBQ4rKbsTMgHh5Jpth+wBqyMuzSXkckEC+1MSA9bwWM8L\n", "ShTgP6f3ZUgY/j3wz4LfX5exUlCkDCDexI58kIlyhdaeIDO0rReCfzv4I/X/WrQnT74P/Ja556jB\n", "OXBIXN2y/Huo5ozmwvjKN+p+b4vWzSNTTi/L6rUg9pVABt4BExMi11leMTpKXzhHqUIF+O9EL6fH\n", "wY/S9VXEorMTykvUh82Rr9SldQYD3ed8SljKy160Hvx50QAWBoXYCqAD08ZkLOJHRi/9vKtzHjUt\n", "B4g1zSNxWpfrIPHihtdsS+BDCInqmTX3GY/E8rhcX94XBnZgThf3jkfCgP6qvw/XbSEYe62ade2D\n", "cDZN1P8XUBKQT2ZN8kg4XWFyZCRtTK2Zqno+Phn9/4u2sUuu3DH0aFnVelqKzRl6PDvrPfkl/b9b\n", "4v6tmtGGWFf/UbMPhbNpbyZz+50L/krwG5K512NX5UOqWI3P+taEhmGt6Fz7NZFE6fHx1rAuz0q9\n", "i+4hC1W4jfag+JBkuowk2GTFkoF3wMSEAsb1ZWSm/Zfpci/aXYDhpVs2C29xifIS9SHwH13QoN9b\n", "UGINKRssiiRvBUBiuJaoBOZ1D93nH0NmlHngTv3/zTKloKCOFyD5Cn9BwRT0xD7fBN6VW7eTnqeQ\n", "+/BbDfsRXFi3InHGLQWEbIbgOjXr2h8hJq3FkI5wvraUiz4+D+NpVz6/pW28N1fuEBq6Fgvaa7ni\n", "HkPcbKMQ7qXHIoXg/sT9WpEx4EXA0U2uY+o5Dh9X8XM0H/yt0X1/XbTtcTJuKhq41sJ7aEvwm+v+\n", "H0occ1mMGVmORz9Jn+fwkXiort8iegdNI7Nam2K18sjAO2AysqXshbpAXzRhqvdY8A/WeOnG8j19\n", "yVYoL7shlqAlJJI2k05dUcrVQw33RkryVgCEl8qTubv8NnS6Ok+k8kt6c2Cs/r5Gy12j/7ckCphu\n", "cO32oSA1TUH584nyEua2fUX7VCteK9rvc2GAI7PiraPbHtX/69Wsa2/gPQ3a3iRSrHw4vyXlDwB+\n", "0cV5DmSnP86t35wayaJr1N8W47SdHs8l+v9A5MNmtv6/BOF+6rcyQOIDK/64yj9Hx5DFpSka1gAA\n", "IABJREFUXG6DBLoXPUc12m57D12j+68Cfm7iOS35QGtL8hxknL6/4nUzyJQq47NaucToFgyDxrEg\n", "86WnFBQIOWnOo33uuwcu1t/vJo09EPbIjgYFb43oEhyiaN0bNjrnpjvnzkNedgtUnnLOfQdJ//L8\n", "kuNaDZgwjvSc+D+TcQHE2Aqh1UZmf/8JOEg3jV1df5ycq3MrZPr5X2il/pgGXJSr+otIgl0QvieA\n", "rZxzrwD+6b1fUHIsRZhKO+VAFTZE3C0pBDqBJqlsIKONeA6x7oUUPSBxZFCTbsF7P8t7/1UA59xk\n", "pZIoQz7Ny+lFBTVdyyIqsxe1yo9xzm2if2/S5bRcsb8Dh2o6oV7QSvMyFwkygiw/0/eQKaSBx2AS\n", "cnOn0ryk4Jx7l3NuRo1+dKS0ugV56OLn6GuIFr6erp+C8HOcGVW0Ea2LPhE4vwYNQ9t7aDeE/2Ep\n", "2dTPGFO0bLwvgBft6mIQc+LR2oGQQmeirpuNmpajY1JcrHUYVmQMWrMzGblChVVnKVn81M60uwBj\n", "i1bZbKIiib60dyazCG2g/UoG0jecYVg506lG3zZA3X+jyVwy8Rf0vuAPr/ElnevbB3T734HvAC9o\n", "eN1GIePub2nA1A78D50s+Vsi6dT+o33qsBhW1BnYz3+gyxujbf/QdbUSVSP8ZV/Wa7cNFdYzhD4i\n", "vh/eXVJ2C+CsBse1J0qUitC1BQb0vCXyVPpjLWq5rf+ix7MW7WSZeambjgUhtP1ezX4kKRDi5+gB\n", "xEX5EPg54H+hZcbotmDpqktqWvQe+g/45+m+304cf5GViZz1KyYEzr/DPPWY3U1WLDGLlWGQKLXq\n", "XED2eT8Nefv1Ao/MnQ7zpxWf1uU53vsHo0SwM9ZAvprvQObtP6O/TyJLnkoBSSI5K0Bd5KwA/wa2\n", "A0kitxQZdV4YlZ+MvMUDir6kA5xzqyLxUQBfR2Kcmlo8RiHElasjylUlnHMnIJfw17lNb0Bm862D\n", "nOL7aIZghXtElw9G20brsu7xTULyR37Ze3+b9/6LZYW9JPiOOR8LE1B77+/23lcSzkblr/Lev0t/\n", "LwLm6KaX5IpujMR69YqvgTxzk5Avi8eRKZwp3Ecbm+U5FXVvjxLoVsF7/4T3fh/aaVeIn6Ng9lwf\n", "eTj2QW7iRWTJj+9Ep1EiqQoqSE2T76F1EDMvyGyCx3I75azLq0XH0EYS/ADtqSNi3Ae8lpbZd6ZP\n", "kwQbVjQMWrMzGblCiVVnGRKoDsXB6WXxF7HcjMRiRRw3QQKB5NPA87VPyUD6IDfoF2YVSaLW1Uvw\n", "+nlE3EKf0+X+NepIxGlNIbPGXU9mETgMGRQax3QAZ1GTjFTLnwIcXLDtZdqf2Q37MIEsjioEeP93\n", "tP1+Xbd5zfreBLytYR/+Gd1Pb60o6xBleeMuzve52saHcuu7io8raKN17x9CcfD2PPCbVdz7BfU3\n", "zm2o5+yC1HN0J0K1ch1iZQtUEVdEz9HR4P9KeWqaqvfQK8DvSicHlac4xowcSXAcxB6e0RNps1TV\n", "5t0yWf5l4B0wGblChStwMfgfgX+tvnxSyk5Z8PpjZPw3QQpcencjxqBSeoQl4F+HTPf2VLvdqupL\n", "DVhRfd8Efhb6eIQuPxuVX1hSV/zCB45AZ+MhH9kh1+CFwBpdXrufAP/VoPwXKE6+fJT250cN+7Am\n", "mXIccikeHG0Px5kMmK+o++V1jg8xpIRzfUNF2V2Ab1BzBqZeu33199u1jZ/kymwMfKBPz2NLGQh0\n", "BZuUKwNz6yoDwFgkJm1KF/1KPke/RFx0/w3+JvBf0H6tTZZ/82bwr0I+TO4ueF6r3kOPkXaJ1qCb\n", "6HBrdjuT12TFkoF3wGRkCzWsOjHrcv7rr4huId4nRRr6nc6X21+QeKPCviwAfybtcRI1SBJLLWCx\n", "UhV/Ueug+vPQv9V0GU8r/xIy5bxKsUr0KVhyfkOOdLLBNXuUipmRUXmHxBrfkB+AgBMipeijDfvx\n", "At3vUcQS5IkSE5PRL2xds74XIwrteMSat2eNfW6L7qGfVJQ9Hti1wfFNQBMMk1FkPJArszYlxKRd\n", "XNsOZaAgbUxjZQBJXdRYya37HC0C/4Koj4Efahn4/4fETBU9r3XeQ3lpEGOWYnZ/StdZCpuVUAbe\n", "AZORLdS06jxOtfUpfunOSKwLsgz8S3X7Ce0KzRLojR4hcXxNXQL5PIctWRX80z30CQmGj6eD304J\n", "AWbJNXsTyuLe4BpfBUxPbJtFRv9wQMN+BBfin8iCuydF2+/RdXWJOfdGAt5Pq3lM54V7RmURNXNS\n", "dnHOR0UD8/q59bfTZ+4jVQb+lbsHO5QBxJVcS8HusT+lz9GfdV2wtDnEitXg2ejFulyXx62DtsVk\n", "5ZSBd8DEhAZWnU2yl1lwAYWX5KPhpXswaStWkCuj7U/S7tIbU9D2fPAzC7ZVcflQ3yXQpkTl161B\n", "xntTJvGXtL7Ed9N+XEf7LMhuYqucDuQbNtjnlcDZJdvnaZ9qMd5H+31B97tSl//K9TNYrLatWd87\n", "gddXlOmYMVogRTPQvgZ8usvn5E9a93659RsBo4bguTxe2/trkTKAuKtf3qDOSU3K13mO8s/KBrp8\n", "Ne3W5YPB/7HkeW3yHqqKrzQZ2TLwDpiY0GWgJ+2TbTpeuimz/jLwO+j2zyeUkVVqKC5NFavoOItc\n", "Ao8Gxekk8JeS5Tt7Hvjp0THFTM1FL/34SxrYDKFGyCe29ojrs5F1Reu7vYlShjCazyzYNkH7spiG\n", "+QrRoGbgl7q8jnQS74U0tCQhnEoTi+7TcK3eGJ3P9ZEcdkVErcjMsc8BJzboh0NyRI4hI0P9ZK7M\n", "DBoG3ddse1Nt7xkKLJs0DEhHKOcW6nF1ZcHR5+j8+F6eoNfiJiR34Obgv0Z7bNRt4LeljajTAs5N\n", "hkQG3gETE++Lv0abxnboS3cRpF16P9V61qY9+DtyEfjbGyhV3TAm5waU5FdyCMofC/7F+nuyLmcU\n", "9GUeHXFaHdaVlCWs6pzm+v5l4G8Nr+0Y4DTg7bn1a5MllZ7bxT3zTd33F7p8ID4u1/BYVZG4CAm0\n", "/gK5wP7UtXpPVPfGSGxf0YxRZOLAOV0c53sQxoA3a50zc9unEsWW9fm5DO7UynizmvWNUuUqr/zO\n", "p4HyS+TSnk0nP9SSgmfkTxXPa7/eQyYjWwbeAROTWOgx0JOSqdNLyXKAnZXYHl6e72mgWNUNYC3o\n", "a2FcxxZa79Vk08hvJPtavjQqW/AlvTGRdeUgJA7lB1pmQ6oTyib66xDeqV81OEaHcEtNRSktom07\n", "klmbLuni/P1G97083CvxRIVtdN3FNY8VeDXwMHBk3Wt1WjTYrh+tr0PU2sXxbqz1PUF7fNA04Poh\n", "eh7/v7Z5UUmZ9anh3qMPxLu5+toCzu8Cfzbi7qvxvH6/om4LODfpWgbeAROTlNC9m6BQsbpOX5Dr\n", "gX+2RLGalFB0UjKP3hiT8wNDkNu1ztE6SAB+086BoXRQCgPYhogL5A0I588ZWu74SAGoGy+CWHSu\n", "ang9JiAZfJL7IAStHvhEF/dHsHg8CmLRi69bcKH+ruaxAu8FXtnkWp0ZnftRVM8YBXYA7ujhmQiJ\n", "pTeL1o8GVhui53BPbW8+xe7AHSig0ojKtLlRXwr+5Ohc3UFXin6bsvsI+PMRepb51c/rj6hBNdLt\n", "e8hkZMvAO2Bi0k+JB9yUK3AOGQ+Vz73Y9YW7GIY+gLWsn5tGilXg5jmks5+xtH1JxwPO28D/G5mK\n", "vgP4Y3WfQ6P2avBxhcHlfeQSAdc4ztVU8UnGT5FZnUrJNRP7jUPI6FvnYVbuPO6q669pcKxa97rA\n", "W+pcq2/R7nb8WfqearmdkDR0v246SKsCOp3MOndQbvvHgZcNwfO0KkKg62mYbihXT5sb9QBVgPLP\n", "VRNFP1Vv3ecVOBJYN3GPmwJl0rNYShvDSgXvvUeToH49sX07ZE59HlES1AvJJYKNU9LM1XUvRqac\n", "IRxMh3TR1cJ0Pm/R5dpI3hjIEuNGaTQAno9YhNbw3h/jvQ9pT1oJZb+rhVZFMvmGfDEbRe0VpcFJ\n", "JKE+EzjAOXdejaS2AaMRdvDZmvC6BefcvghlAjRPvrw+Eq/TSv67a65AyGMTJ7suS/njnFvbOfcz\n", "hB9rs2hT4bXSVCmMjQoGFKQ8mQicofdpE/wvcvlCQuYdc9svR6gi+grv/WLEXQuS7qcxnHPT0RRR\n", "s5Br8BMkj1EeU7RMSBlV4z7rSNx8B3Cvbix6Xr333wIed87tXJBovck9bjC0Y9CanYlJv4UeOWkY\n", "hgBWSlyWwYV1BRm9xC3R9gryzw7rykUIuakHv5Pum7fa5awrHbEwY6mf1DbXn3OBg4lcV9G2UxG9\n", "ZykwruH5Cy6qpSAJg/PncWft56/Kj9WRzSRcGB1bK5i67Fr9GvyaZMl6/5Dbnr9W9GgZQVLjeXI8\n", "YoiS+MUhep7eoW3OAV5aUMYhivfExLZC8s2Uy87TLHYx9bw6kpMXWver3uN3D+UzbjJyZeAdMDEZ\n", "CqEPnDQMYQBrSgHy4O9BYnUA/zddTiSb5VSDkLSlBFyPuD7fSRbsvrXu/+fEuYgGlVuhPRD8YiRQ\n", "u2ksDHB10blCjAweuKuL83dGPAC+MnE8u5FWInPHOiuuZ0zx4FroXvbgd9ey/xuty12rFA1Eo5lw\n", "etzr6r5PE1Ed0EUevgZtrqdtLipSrLTcQYgRr015LDp3SxFCzx8mzmeXs21Ln9eoT614r1XAv51O\n", "WoWm8V4mJrGYK9CwsqLDRdDUpee9n+O9PwYZLCaQdrt1Be+9J+Gy/CywDPFFfUXX7Ujm1opclhdr\n", "HYV4EMnz8gGyY79flxPLu7fNVGQ0OQtxaf0UGdG30nV/Qab5Iaf3opK6lpQ0t7Uu55V3J4lJ8Z8t\n", "EwWC721pYlt04vZag8yF9BzwW4T46yRarr4ZiFKRdC9D5lq9NFoXXasngJuRnIgTHOKaRe6noxA3\n", "6RXOuTULqgfAOfdB5B69D0m7s3W0eZlz7mrn3OpldXQD7/2/kVtoVeQ2KMJdwBfJudWACWPodKOO\n", "Aj5I6z5qQ4Ebtaqfqed1D0S5uzbq03+AaVOBOxEyt7hvXdzjBkM7Bq3ZmZgMlbCcc9KQcFl+Wvt0\n", "OPij9ffHdNs8qmchUmIheJrMTbKo2EKQdKGeh+QrjLm/agS9r4FYBz4FHJHYfrvu+/kuzt33dd8l\n", "gP9gwurxQyRp9d0lxxpbNJ8Dvxf4H9OeaDuyaBa6l0/R7WG2Ze5atVn/Pom4wLqw/q2DhHNdouXf\n", "mdu+K10m1a5xvk/TNr8V3WexBajyOZtBvcwBCati43Q92qdf5fs0JnEdfwn+woI+DAVthsnKLwPv\n", "gInJUAvLMScNOZflHtq/C8nioX5Js1mIRDEtnyCLr/q77r9RYgCJaRzysTCXIul83ks7k3Vuv45Y\n", "GITQ8mzEutQx4CNGNU+OOLTmefu97vso4PdvMGAXpTz6NaI85t2kucE16V7+rG47pfNaJcsvzdXf\n", "cCbcB2IlJ1r/LXLpbvp4n+6obT6MGD5jl+ZSEPbz14A/Ljq2vPJYlTkg3i96TpvOoGy5+saB34rs\n", "IyMQ78b3+G3IrNt5BX3phavOZGTKwDtgYjJcwnI4pToeBCaQBYjP1d8O/LtplkYDtYSNQ9J8XKED\n", "xO+0jp1yA8c8JI4rDJR5S9cHKc6TWDYAIm6hj5X081bdd8cuztszuu+/wrmrO1EhsM/nFchTE8ee\n", "GFxbOSnjlCeBdmGL9muV5ET7OPgDc+vqWkb0Ht5Xy90yjPfp88gSXftwf+WtUq8Cf3/i/MXKY1Hm\n", "gH4pM+Q+VgK32DK9T1L3+BUIa36/lTyTkSkD74CJyUgXCmY10SlNUs9cBZJm5XIdIC7Rel6cUzRi\n", "60p+5tsiJOD9bjrThgQpSWr7fuD9ib45xIq1RPfrmElWcWzjdb8l8fmpM1Fhq6h8kRL1XSTfXMng\n", "WpkIGLHqJGfCnYdYTrpRJoADEcvUMiTua2y0bSpDkBQ4Vv4B/zLKg72LrFKx8ji74jp1S7xLwr2+\n", "VJ+BBQX3eB3pxS1pMvJk4B0wMTERAU7Xl/fiaIBeRAOXJZlVbgNyCWU/qnW+jmQanFtTg85i8Nci\n", "sxLzcVllgw4Sm7ytDsr36LrUzLhlNJ8Zt5XuG3ID3p8/1orkuYWD62vB/zf4hyqOk7R72QOP67bC\n", "WYS3gL8ssb6OZUTPq0N4vzywU7RtDPBKYFSf78srIMtVuT34J8E/k1CcgpK+R8H5Dcrj0QXb59Ez\n", "8W4HtcOz4PcmI9s1xcpkqGXgHTAxGclCu3vyUn15H0eWWPiwmvWklJbFqnTEA38hH1VKGTiadg6t\n", "usoAsCESPOwQss02K8+ozj60+lHjWF+r5f+sy2upP1FhVtHg+ktVGJpY5qLr92Lddg8lvFf9GsCB\n", "72m59+TW/xZJPdQXdzeRBehWhJ5gFfCvB//bRP/vI3Mrp3L2hftlDO3JzgvyXTaaUELJxI27kZRW\n", "Ra7AMjFXoElTMboFg2EASLCaL0ASHAM8ArxUf/+hop61nHNXEE3nH0eLnmE0GRPAA4iixRL5HziU\n", "pnvv9/HeP0GO/uEZhAdhk5L2S+gftkZmzK+JsDXMiGkN/kcLHU4HrcG1VbQDSLJkUAoEYI73/gnv\n", "/T5ECuazwLO5Y0WUsgXP0k6/AXAZchEcnZjbXleL7d0LFpIxWbygou89wzk3Hgn8B9hJ14X7aUfg\n", "7/SPQbzF4r8NsAsSqX4gwtCaxxTgCP39zcT2QKOwCLlBxqtMBb6EPAwIKftuek82QSFD/ubIlMm3\n", "6v8i2owUmlCcGAwAA9fsTExGklAwNX0MSQvOI5R8IZNLbHtS9CX+BWQ23wm0TedfoMvDU/WSi0+5\n", "CvyOJV/y8yiOhUEUw3MoIGp9ve53bmTpaDDr8VwtF9xhxyfKFE5UoIQJ/Anw30isr4p/0vaCC3cs\n", "FYSivVhGgI2RNDMeoaxou59WoT+UIiQsQJ/T+t5S4zgmkrb+jWs/zvh3T7N0qWEpvFnb6zYrw6Df\n", "HyYrhgy8AyYmI0XKFKEf6Mt7k86Bp4zXqBa7fJ6LCdi5Tp13UzxTal6FIqSK1ctB2LXz/VtH9/1d\n", "rp81Z8YFHqd5uty74XUoTHn0MPjPdDm4Ag9pmQ3KlLciaZjGZSxi+GkpCichKXXCOe2VQTylqMTZ\n", "AP5J2h0YK08LcusT6YT6Nks3pQimZIb2YagTrZuMXBl4B0xMRoqUKUJH6gv8dPAHtStByRd6mXKw\n", "EPwuZGlwgtISzTR8TUkfW8qfQziJKgLBk4M18EPgB5CRZgZZShbn9WgD5YLMzbc0Oj8ecWE2snSk\n", "rsXPEZLQbgdXMvqIbcuuT9Eg3tQyosqJ3yhq49/g35SruylPVlR/h2K1DPymWtdMJCatiWI11JxQ\n", "dRTax5CZi1B7soOltDFpJAPvgInJSJCqgXYzfYlfRZbPb7XsxZ5iNS8cQL6BWIRiEsrn2hWR8yr6\n", "uibwp1h5acJYj8R2/aPIejBP918v0feUO4yE+7RAmtBRtBTIMLjuT5YUuJvBFbhJy75K//ecr7Kk\n", "rZ3CcX84V99SZDZnXrlqyiBOgQXoOK0nxXYfX8O8K7Ab5bHfz1mQx8ksV93c4yYmZTLwDpiYjAQp\n", "U4SeIIuN+ab+Hg3+PdnL/dxcXaUuj6vA35Rbd3/7YFE5uwkJWj6fLhjrkXjkXwB+bKJ/V2hd2xcM\n", "ejlagzb36bHR+QH8FLp3d5GYSTiGJCdV3dmKP9byJ+r/DuWtX5aRcD9BZ7zTgbQngw7SjbUodd+G\n", "6ze14PqlKBW6UR57eNZqK7SbZH2KKU6Wi6wMJiuuDLwDJiYru1QpQjP1hb4z4o4C/A6UUhmUBunm\n", "08548Dd0KguF0/kRPqSNcv2vHQuDuMIC/UBHX76o61MkmQnFqm2QvEW3BU6l1+g+3bq7tL99SXmE\n", "BOt74NRoXd/zVcb3E6ocLFBZhsTG3Zg4r93QBpCwAD1Npnw+mFBWgqI4h8G41bpVaJvc4yYmZWJ0\n", "CwbD0KNwGjgICRNIpPf1+vuVZFPTgYlaRy08jYwWMR7SZc0H/iVEs8y9YKFKvuoU9gK2Q2YhdtAa\n", "HI0k+ntfYsccrcFWKE3DLGQq/71aboIut9blFC0zSf7OaEIx4L2fA7wLeIdWPQHJbXiMbquL/+hy\n", "9ajuWjQQPqO8qIPVgAmrItdzXtTpScB7kQC3PLq5n7z3s4GZTwJ7I5wS4/U3iDYYcB/CZfGU9msX\n", "+kaj0Aje+8eB3YCZT2n7U6mmdmh4jxsMhTDFymAYMBYhL/xXANfpupeV7/I0BVxMIANsnospKFbL\n", "ZNHGxZTAochXfCNEXEqfBr6jXeHNQKydTEKO778SdcScQUQcSlN0ZTg/YeR7UbTvFC2rOLZp94FD\n", "exxcH9HlhvkN3vs53vtjEMquXpQ3EOsKi2ldT1ZFlKYFiLJzBrAP0CcN5lDg1juAaQjv2A664WLk\n", "HjwJMVHeoeuX0bPy2BOGSKE1GOph0CYzE5OVXagxDXwRMpsPlYfbXTdLyblPaDid/6O0uZ1KY2yA\n", "j9MguJhEcPkYJL4qXjeDdA65lBsJsXh1nLMjdPvzdZmf7t8rSzZwGDCly+v8Vm37d9203eBct2LO\n", "wqSH06LjL8rb18u5QZS5wJ1VKJvQltD71vx9O+Bn0Fx9JsMiZrEyGIYY3ntPjtU8j1URtksQpvN1\n", "abPejAIuyu3yNYALyCi/C9sH/tq+6pyiss65FwI/897fUlFtKL8WcA3qsjsK+AbwHOJbO42MWX0m\n", "4p9JmQdiN5IWvYuE+/RhXWo5tszV0637NMIEGlryI0vd+brq5fSH9TyFC4FpUxHt6nRdeZMutwLO\n", "0m1TEc3mEN3WC4O4F6vOEshMbgHjEffubMRVe5u2jZC15+/bgcALzNVnGB4MWrMzMRkJQo1p4Gfr\n", "l/47ctab1TMLwPa5OktnP92MBIhH+wfrV2HSY+AE4IQGx9XWh1lqHQt9CIH0cXD5bjkLU0kgcUeA\n", "/jbRsYylktm7dsJchHBz34bXNEkD4eiw5PRlyn7qHrpH25iUOBcxxcLl9EZ1kG97Gfj3a30nJK5B\n", "N/QOJiYri5jFymAYBvhEEHAe1+hyKzLrzQzECqTIxw11xL7MBR5H4mteguRrW0hbzNUorXK2c+6K\n", "RF6+g5C8g5Vwzk0nF1x+I5qQMGoM2oPLr0W0mIoccR1xZB7J3wISwPVVOmPJinL61cB4JBysFvKW\n", "upPIrt9EJNaoixyIVeiIOdsUsdA9hSSDjBHHnB1Kdo59TWtkWduOLLHljxOFe4x3MxhWbAxaszMx\n", "GSmCWDiWQuc08GVkMUnBwhTiY8piY0hM5w8WkzhtToh7uYok79NkxEI0GjgFGFXzeDrivH4K/ko9\n", "nvnR+iARl1J8TElag3z9D0fnJ2Xxy9XfmNkb0VFOrVm2w1r4bHT+g/WoFxqIXHuFcXq7av0/TpyP\n", "6N5pWQP71fZi8BO07jvL2+4q3s3EZEWVgXfAxGSkiCovflROuRhHdaB3lXuLjItpcX7AXxzVu0jX\n", "Xd6uXAV5BvhJSslJtNcx2C4Df4a28S8k9UnFYFsaSEzO/fRH3Xe7AqVqHj27uyYAH65RrtCtG5Ti\n", "+Nr1wy1GCXfZx7TuUwvOS3TvTO532/tr3WdXt13bLWtisqKLuQINhmHGGCTQ92jEbfQsEuwNsJFu\n", "uwKdU18TXqbsfx0YHbvmIAv4XheZjr8PsC/wpK4fRyvgexzwRordhDE6uLkeQ4KoRwPrAfckdsoF\n", "l+O99yXH1OY+DQHamybK5oPffUN3l3NuErCL9/4zNYp3uOQC1tPlI9G6oXaL7ajLGv7bJ6uLNEPw\n", "nV7d74oNhhUYplgZDMOHVtzQaoh56UlE2XkQuByJHcpPI2sQN5Qc8AOH1fOB3ZFAphAXdAdippqD\n", "kG2eSPdxQbchM/5C3FM+/qlLtOLIAqFoPCMtwaEUT4RrgjWA/aoKOeccQqvAuxPbx+jyP7n1kTb1\n", "Vq2jKQq5y/YA/ojkEMqjh5izWm3vh3BLXDJ0bRsMKxxMsTIYhglqnWmjXQjkOpOB1wF7JvarM02+\n", "bMAPitUDiNYRpuqfRWZt2gDhCjibbKo+EhNfNF2+Y7CdDBxcUDig6WDrIxbtEBT/PapZtKvqTbTz\n", "APBt59zrK4qWsuhP1uUjufW90kCk7p2ASUhG5rGJ/XqhWKjT9poIt8ToIWrbYFgRYYqVwTC8qM0/\n", "BeLiuiD7W8g/RcmAHxSrpxCzTOwmDDgecUNCvfQwqcH2OmDnkg5Cd4Otz1i0b9BVzwwhi3ZPhra9\n", "gQOBdXrsRAGG6t5Z3ts2GFYomGJlMAwj8nFDZYNUr3FDAeuQWVJScUH3IpQM60frasYFtQ22s1EG\n", "yQL0YbAN+sqO9J4Wpg3OuXWAid77n1YULU0ndCqSp2+X3Pp+uMUGce8sD20bDCsaTLEyGIYfSf6p\n", "gC7jhgoH/DeQMZWn4oJ+hLjVVsmtr4oLigfbvYCr6FTaAvoQXL4KsJn+nef7z6L9fOQwSlHmFitD\n", "H91iQ3HvrAhtGwwrDJy5vg2G4YcGhV+EBIkDrRicYNkImAkcUsfFpWlVjjoJiZ8KWIiYdsYhgep5\n", "LEUUnrUS28Zn/ZngvV+YaHMthPNzm7GI4nYsmTtyLqJUXEBLqbqVhnFQqtS9UKt7zHu/dt19m8A5\n", "dygw23t/e0W56cDNayDxaEXKZMB9iLKhx799rxacobh3VoS2DYYVBWaxMhgGgChuaDoSIzS/D3FD\n", "jeJgAlYhrVSVIcqPdz+SE47nkEDyqfQnuDxq4yky48iaQ5SDD0THXFpVaNBusSG6d5b7tg2GFQVm\n", "sTIYlgOoVSbMFnu6W3eRc+4KYMZUsiB1jwSiL0BcNKnZbCnMpTU7cD4Sy+TVQnUhOYvFEgrjq+Yj\n", "rrOv1Y2DSrWxKu2pchR9sYroud8MOV1X1zn3UUqbaZOQeLR+W+rqol/3zorWtsH0f2t4AAAEV0lE\n", "QVSwvMIsVgbDcgAv6EfcUEcczJ0oDwO9xQWl8uMFHqz9kNx9UX48EGqrKU2Cy4vaOFG3H0X/cvDl\n", "LGJ3A78FnqpjEYtpIJ6iv5a6pujjvbNCtW0wLK8wi5XBsJIhFQczBliEKCTdxgWlrGEBlyMz4dZG\n", "XGN70wpgnqmuo7p9T7ZxGGLCOhdhrO+xjQ6L2FjE4pbzA9ayiKkSdiyiv07U1Y0tdQaDYeWAWawM\n", "hpUMqTiYRbqt27ggDdiekeLBegAx9YSI8jo8WClUtQFZOpse2khaxBYAp+vvphYx7/0c7/0xultf\n", "aSAMBsOKB1OsDIaVFIkBf0O6ny5fmB/vLoQ9PkaX+fEK27hXl3GewC7buBCYlmeffwB4tf4+i9rs\n", "820wt5jBYABzBRoMIwrdTJfXAOWngAmp4PdP6L757MWp4PeSfhW2sYgsXcsiJJC9yzYKaRJ+jcSi\n", "HRetux/RqtRyN92sTwaDoQ7MYmUwjCB0OV2+ND/eQcARifUN8+MVthHcli+gXanqoo1Ci9j6tCd3\n", "hq4tYgaDYYTDLFYGwwhGnenyzrnVgQVFBKNlqCIYrdPGrxBK9N2Bq7tso8rqNhf4K/DGxPq6FjGD\n", "wWAAU6wMBkMFqpSSIvTLFbgE+AeiPE3tso0q5XA+sIw2qogW6iqHBoPBAOYKNBgMFRiO/HhlbYwG\n", "NqFTqWraRhkmklaqDAaDoSnMYmUwGCoxHPnxhrKN4bC6GQwGA5jFymAw1MBw5McbyjaGw+pmMBgM\n", "YBYrg8FQE8ORH28o2xgOq5vBYDCYYmUwGGqjGx6s5amNsrQ8MYJFrJuUOQaDYWTDFCuDwdAYw5Ef\n", "byjaGA6rm8FgGNkwxcpgMHSNOjxYy1sbw2F1MxgMIxemWBkMhhGJ4bC6GQyGkQdTrAwGw4jGcFjd\n", "DAbDyIEpVgaDwWAwGAx9gvFYGQwGg8FgMPQJplgZDAaDwWAw9AmmWBkMBoPBYDD0CaZYGQwGg8Fg\n", "MPQJplgZDAaDwWAw9AmmWBkMBoPBYDD0CaZYGQwGg8FgMPQJplgZDAaDwWAw9AmmWBkMBoPBYDD0\n", "CaZYGQwGg8FgMPQJplgZDAaDwWAw9AmmWBkMBoPBYDD0CaZYGQwGg8FgMPQJplgZDAaDwWAw9Amm\n", "WBkMBoPBYDD0CaZYGQwGg8FgMPQJplgZDAaDwWAw9AmmWBkMBoPBYDD0CaZYGQwGg8FgMPQJplgZ\n", "DAaDwWAw9AmmWBkMBoPBYDD0CaZYGQwGg8FgMPQJplgZDAaDwWAw9AmmWBkMBoPBYDD0CaZYGQwG\n", "g8FgMPQJplgZDAaDwWAw9AmmWBkMBoPBYDD0CaZYGQwGg8FgMPQJplgZDAaDwWAw9AmmWBkMBoPB\n", "YDD0CaZYGQwGg8FgMPQJplgZDAaDwWAw9AmmWBkMBoPBYDD0CaZYGQwGg8FgMPQJplgZDAaDwWAw\n", "9AmmWBkMBoPBYDD0CaZYGQwGg8FgMPQJ/wfCDuEvME8UJwAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "\n", "plotp(x, 'b')\n", "plotp(y, 'r')\n", "\n", "A = Pi * (Pi > np.min(1./np.asarray(N))*.7)\n", "i,j = np.where(A != 0)\n", "plt.plot([x[0,i],y[0,j]],[x[1,i],y[1,j]],'k',lw = 2)\n", "\n", "A = Pi * (Pi > np.min(1./np.asarray(N))*.3)\n", "i,j = np.where(A != 0)\n", "plt.plot([x[0,i],y[0,j]],[x[1,i],y[1,j]],'k:',lw = 1)\n", "\n", "plt.axis(\"off\")\n", "plt.xlim(np.min(y[0,:])-.1,np.max(y[0,:])+.1)\n", "plt.ylim(np.min(y[1,:])-.1,np.max(y[1,:])+.1)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Transport Between Histograms\n", "----------------------------\n", "We now consider a different setup, where the histogram values\n", "$p,q$ are not uniform, but the measures are defined on a uniform grid\n", "$x_i=y_i=i/N$. They are thue often refered to as \"histograms\".\n", "\n", "\n", "Size $N$ of the histograms." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "N = 200" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use here a 1-D square Euclidean metric." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "t = np.arange(0,N)/N" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the histogram $p,q$ as translated Gaussians." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Gaussian = lambda t0,sigma: np.exp(-(t-t0)**2/(2*sigma**2))\n", "normalize = lambda p: p/np.sum(p)\n", "\n", "sigma = .06;\n", "p = Gaussian(.25,sigma)\n", "q = Gaussian(.8,sigma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Add some minimal mass and normalize." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "vmin = .02;\n", "p = normalize( p+np.max(p)*vmin)\n", "q = normalize( q+np.max(q)*vmin)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the histograms." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAmIAAAGnCAYAAAAUmzt8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3X+MHOd93/H3J4yEJggSRhVAKSRbphWVSAESMUFktm4R\n", "ulWAC/+Q7ASwoNahogoR0ZaykT9cKf0jImy0kWHYMAQBBGHThtAAVgw7UM4JKVlRfajzi4gKkZYt\n", "EhYTEyDZ6tREUtAoKUC23/5xc9Jqdbuzy/sxu3vvFzDgPDPPM/fMPrt3X35n5tlUFZIkSdp439N1\n", "ByRJkjYrAzFJkqSOGIhJkiR1xEBMkiSpIwZikiRJHTEQkyRJ6khrIJZkLsnZJC8neWhAncea/aeT\n", "7Gm2/b0kJ5OcSvJSkt/sqX9dkmeTfCfJ15JsXbtTkiRJmg5DA7EkW4DHgTngVuCeJLf01dkP3FRV\n", "u4EHgCMAVfV/gPdV1W3ATwLvS/LeptnDwLNVdTPwXFOWJEnaVNoyYrcD56rqfFVdBp4E7uqrcyfw\n", "BEBVnQS2JtnWlP+2qXMtsAV4vb9N8+/7V3MSkiRJ06gtENsOXOgpX2y2tdXZAUsZtSSngEXg61X1\n", "UlNnW1UtNuuLwLar6LskSdJU+96W/aN+/1FWaldV/xe4LckPAc8k2VdVC++oWFVJVvw5g7ZLkiRN\n", "oqrqj4mGagvELgE7e8o7Wcp4Dauzo9nW26m/TvL7wM8AC8Bikhuq6pUkNwKvDurAuCekyZDkcFUd\n", "XuefMVKg7ntofBsxflofjt10c/ym29UkkNouTT4P7E6yK8m1wN3AfF+deeBA04G9wBtVtZjk+uWn\n", "IZN8H/DzwKmeNvc26/cCT43bcWnJJ5tl2LokSZNpaEasqq4kOQQ8w9LN9seq6kySg83+o1V1PMn+\n", "JOeAN4H7muY3Ak8k+R6WAr7/UlXPNfseBb6U5H7gPPDBtT4xzaar+d/GchszY5KkSdN2aZKqOgGc\n", "6Nt2tK98aIV2LwI/PeCYrwF3jNVTTZuF9Tv0cqbro2PUH7WuGgtdd0BXbaHrDmhVFrrugDaWM+tr\n", "XfQ/lKHp4vhNL8duujl+m09rRkyaBGvxBG3vMbxMKUmaBGbENEVWe/O9N/BLkiaLgZgkSVJHDMQk\n", "SZI64j1imljr+c0K3i8mSZoEZsQ04dbrvi7vF5Mkdc9ATJIkqSMGYpIkSR0xEJMkSeqIN+troqzn\n", "Dfqj/Exv3JckbSQzYppAG30jvTfuS5K6YSAmSZLUEQMxSZKkjhiISZIkdcRATJIkqSM+NanOdfGk\n", "5CA+QSlJ2khmxDQhJuXJxUnphyRpMzAQkyRJ6oiBmCRJUkcMxCRJkjrSGoglmUtyNsnLSR4aUOex\n", "Zv/pJHuabTuTfD3Jt5N8K8mHe+ofTnIxyQvNMrd2pyRJkjQdhj41mWQL8DhwB3AJ+LMk81V1pqfO\n", "fuCmqtqd5D3AEWAvcBn4tao6leQHgP+e5GtVdRYo4NNV9en1OS1JkqTJ15YRux04V1Xnq+oy8CRw\n", "V1+dO4EnAKrqJLA1ybaqeqWqTjXb/wY4A2zvaefUAJtckpqkqSv6TXr/JEnTry0Q2w5c6Clf5J3B\n", "1KA6O3orJNkF7AFO9mx+sLmUeSzJ1jH6rJkyyVNFTHLfJEmzoG1C11GzAf3ZrbfaNZclvwx8pMmM\n", "wdLly4816x8HPgXcv+KBk8M9xYWqWhixT5IkSesmyT5g32qO0RaIXQJ29pR3spTxGlZnR7ONJNcA\n", "XwF+q6qeWq5QVa8uryf5HPDVQR2oqsMtfZQkSdpwTXJoYbmc5JFxj9F2afJ5YHeSXUmuBe4G5vvq\n", "zAMHmg7sBd6oqsUkAY4BL1XVZ3obJLmxp/gB4MVxOy5JkjTthmbEqupKkkPAM8AW4FhVnUlysNl/\n", "tKqOJ9mf5BzwJnBf0/y9wIeAbyZ5odn261X1NPCJJLexdAnzu8DBNT8zSZKkCdf6pd9VdQI40bft\n", "aF/50Art/pABGbeqOjBeNyVJkmZPayAmraVpnA6it89V5bQrkqQ141ccqQOfZLqmhpi2/kqSpoWB\n", "mCRJUkcMxCRJkjpiICZJktQRAzFJkqSOGIhJkiR1xEBMkiSpI84jpnU3jXOHDeKcYpKktWRGTBtk\n", "VubimpXzkCRNAgMxSZKkjhiISZIkdcRATJIkqSMGYpIkSR0xEJMkSeqIgZgkSVJHDMQkSZI64oSu\n", "WhezNInrIE7uKklaLTNiWkezPvnprJ+fJGm9GYhJkiR1pDUQSzKX5GySl5M8NKDOY83+00n2NNt2\n", "Jvl6km8n+VaSD/fUvy7Js0m+k+RrSbau3SlJkiRNh6GBWJItwOPAHHArcE+SW/rq7AduqqrdwAPA\n", "kWbXZeDXquongL3Av0/y482+h4Fnq+pm4LmmLEmStKm0ZcRuB85V1fmqugw8CdzVV+dO4AmAqjoJ\n", "bE2yrapeqapTzfa/Ac4A2/vbNP++f9VnIkmSNGXaArHtwIWe8kXeDqaG1dnRWyHJLmAPcLLZtK2q\n", "Fpv1RWDbyD2WJEmaEW3TV4w6BUH/o/tvtUvyA8CXgY80mbF3VqyqYVMdJDncU1yoqoUR+yRJkrRu\n", "kuwD9q3mGG2B2CVgZ095J0sZr2F1djTbSHIN8BXgt6rqqZ46i0luqKpXktwIvDqoA1V1uKWPmhCb\n", "Ye6wQZxTTJI2nyY5tLBcTvLIuMdouzT5PLA7ya4k1wJ3A/N9deaBA00H9gJvVNVikgDHgJeq6jMr\n", "tLm3Wb8XeArNiM06t9ZmPW9J0moMzYhV1ZUkh4BngC3Asao6k+Rgs/9oVR1Psj/JOeBN4L6m+XuB\n", "DwHfTPJCs+3Xq+pp4FHgS0nuB84DH1zrE5MkSZp0rV9xVFUngBN92472lQ+t0O4PGZBxq6rXgDvG\n", "6qkkSdKMcWZ9SZKkjhiISZIkdcRATJIkqSMGYpIkSR0xEJMkSepI61OTUpvNPJHrSpZfDyd2lSS1\n", "MSOmNeJkpm/ztZAkjcZATJIkqSMGYpIkSR0xEJMkSeqIgZgkSVJHDMQkSZI6YiAmSZLUEQMxSZKk\n", "jjihq66Kk7i2632NnNxVkrQSM2JahU/i5KXD+PpIkoYzEJMkSeqIgZgkSVJHDMQkSZI6YiAmSZLU\n", "EQMxSZKkjrQGYknmkpxN8nKShwbUeazZfzrJnp7tn0+ymOTFvvqHk1xM8kKzzK3+VCRJkqbL0EAs\n", "yRbgcWAOuBW4J8ktfXX2AzdV1W7gAeBIz+4vNG37FfDpqtrTLE+v4hy0QZLU8tJ1X6aNr50kaSVt\n", "GbHbgXNVdb6qLgNPAnf11bkTeAKgqk4CW5Pc0JS/Abw+4NhOcDmVnBvr6vi6SZLerS0Q2w5c6Clf\n", "bLaNW2clDzaXMo8l2TpCfUmSpJnS9hVHo15G6c9utbU7AnysWf848Cng/hUPnBzuKS5U1cKIfZIk\n", "SVo3SfYB+1ZzjLZA7BKws6e8k6WM17A6O5ptA1XVq8vrST4HfHVI3cMtfZQkSdpwTXJoYbmc5JFx\n", "j9F2afJ5YHeSXUmuBe4G5vvqzAMHmg7sBd6oqsVhB01yY0/xA8CLg+pKkiTNqqEZsaq6kuQQ8Ayw\n", "BThWVWeSHGz2H62q40n2JzkHvAnct9w+yReBnwP+fpILwG9U1ReATyS5jaVLmN8FDq7HyUmSJE2y\n", "tkuTVNUJ4ETftqN95UMD2t4zYPuBMfooSZI0k5xZX5IkqSOtGTFtbk5AuvZ6X9Oqcj49SdrEzIhp\n", "BE5GurZ8PSVJSwzEJEmSOmIgJkmS1BEDMUmSpI4YiEmSJHXEQEySJKkjBmKSJEkdcR4xvYtzh20c\n", "5xSTpM3NjJgGcK6rjeHrLEmbmYGYJElSRwzEJEmSOmIgJkmS1BEDMUmSpI4YiEmSJHXEQEySJKkj\n", "ziOmtzh/WLeWX3/nE5OkzcOMmPo4p1V3fO0labMxEJMkSeqIgZgkSVJHWgOxJHNJziZ5OclDA+o8\n", "1uw/nWRPz/bPJ1lM8mJf/euSPJvkO0m+lmTr6k9FkiRpugwNxJJsAR4H5oBbgXuS3NJXZz9wU1Xt\n", "Bh4AjvTs/kLTtt/DwLNVdTPwXFOWJEnaVNoyYrcD56rqfFVdBp4E7uqrcyfwBEBVnQS2JrmhKX8D\n", "eH2F477Vpvn3/VfXfUmSpOnVFohtBy70lC8228at029bVS0264vAtpb6WidJannpui9a4phI0ubR\n", "No/YqH8I+uc9GvkPSFUN/YOT5HBPcaGqFkY9tka1PG3CRzvthZY5HpI0DZLsA/at5hhtgdglYGdP\n", "eSdLGa9hdXY024ZZTHJDVb2S5Ebg1UEVq+pwy7EkSZI2XJMcWlguJ3lk3GO0XZp8HtidZFeSa4G7\n", "gfm+OvPAgaYDe4E3ei47DjIP3Nus3ws8NVavJUmSZsDQQKyqrgCHgGeAl4DfrqozSQ4mOdjUOQ78\n", "RZJzwFHg3y23T/JF4I+Bm5NcSHJfs+tR4OeTfAf4F01ZkiRpU2n9rsmqOgGc6Nt2tK98aEDbewZs\n", "fw24Y/RuSpIkzR5n1pckSepIa0ZMs8dpEaZH71hVVf/TyZKkKWdGbNP6JG9Pk6DJ5ThJ0iwzEJMk\n", "SeqIgZgkSVJHDMQkSZI6YiAmSZLUEZ+a3CR8UnL6+QSlJM0eM2Kbik/gTTfHT5JmjYGYJElSRwzE\n", "JEmSOmIgJkmS1BEDMUmSpI741OQM80nJ2bU8tj49KUnTzYzYzPNJu9nkmErSLDAQkyRJ6oiBmCRJ\n", "UkcMxCRJkjrizfozyJv0Nw+/9kiSppsZsZnlzdybgw9jSNI0aw3EkswlOZvk5SQPDajzWLP/dJI9\n", "bW2THE5yMckLzTK3NqcjSZI0PYYGYkm2AI8Dc8CtwD1Jbumrsx+4qap2Aw8AR0ZoW8Cnq2pPszy9\n", "huckSZI0FdoyYrcD56rqfFVdBp4E7uqrcyfwBEBVnQS2JrlhhLbezyJJkja1tkBsO3Chp3yx2TZK\n", "nR9paftgcynzWJKtY/Va75Kklpeu+6Ju+B6QpOnT9tTkqL/Qx81uHQE+1qx/HPgUcP+KB04O9xQX\n", "qmphzJ+1iSzftP3RTnuhrjj+krSRkuwD9q3mGG2B2CVgZ095J0uZrWF1djR1rhnUtqpeXd6Y5HPA\n", "Vwd1oKoOt/RRkiRpwzXJoYXlcpJHxj1G26XJ54HdSXYluRa4G5jvqzMPHGg6sBd4o6oWh7VNcmNP\n", "+w8AL47bcUmSpGk3NCNWVVeSHAKeAbYAx6rqTJKDzf6jVXU8yf4k54A3gfuGtW0O/Ykkt7F06fO7\n", "wMH1OLlZ571AGsSJXiVpOrTOrF9VJ4ATfduO9pUPjdq22X5gvG5qMO8L0kp8X0jSNHBmfUmSpI74\n", "XZNTxsuRGpeXKSVpcpkRm0p+v6DG4ftFkiaVgZgkSVJHDMQkSZI64j1iU8J7w7QWlt9H3ismSZPB\n", "jNhU8T4frZbvIUmaJGbEJphZMK0Xn6SUpMlgRmzi+cSb1oPvK0maBAZikiRJHfHS5ITxcqQ2mpcp\n", "Jak7ZsQmkpeNtJF8v0lSV8yITQCzYJoUZsckaWOZEZsYZiU0CXwfStJGMiPWEbNgmnRmxyRp/RmI\n", "bbB3BmDLmYePdtIXabi335/OyC9J68NLkxsgSS0vS1u89KNps/Seffd7WZK0GmbE1sm7/1CZ/dIs\n", "eHeWDMyUSdLVMhBbQwZf2lwMyiRptQzErtLgSzMGX9qMVg7KlhmcSdLKvEdsBb33wQxalmou//Hx\n", "kX/pbb2fh3ffWzb8MyVJm0trRizJHPAZYAvwuar6xAp1HgN+Afhb4Feq6oVhbZNcB/w28A+B88AH\n", "q+qNAT+/o1/QvZmtQeuSRtP+eTIYk7QZDc2IJdkCPA7MAbcC9yS5pa/OfuCmqtoNPAAcGaHtw8Cz\n", "VXUz8FxTHmClrNOo66upK2ljbdRnfaPbTXLfPKfp6JuvxXSd03jaLk3eDpyrqvNVdRl4Erirr86d\n", "wBMAVXUS2Jrkhpa2b7Vp/n3/VfVekiRpirUFYtuBCz3li822Uer8yJC226pqsVlfBLaN0WdJkqSZ\n", "kKrBt2Uk+SVgrqp+tSl/CHhPVT3YU+erwKNV9UdN+Q+Ah4BdfW1/GfjZqvpwkter6od7jvFaVV23\n", "ws/3nhFJkjQ1xn1KvO1m/UvAzp7yTpYyW8Pq7GjqXLPC9kvN+mKSG6rqlSQ3Aq+u9MN95F2SJM2y\n", "tkuTzwO7k+xKci1wNzDfV2ceOACQZC/wRnPZcVjbeeDeZv1e4KlVn4kkSdKUGZoRq6orSQ4Bz7A0\n", "BcWxqjqT5GCz/2hVHU+yP8k54E3gvmFtm0M/Cnwpyf0001esw7lJkiRNtKH3iEmSJGn9dD6zfpK5\n", "JGeTvJzkoQF1Hmv2n06yZ6P7qMHaxi/Jv27G7ZtJ/ijJT3bRT73bKJ+9pt7PJrmS5Bc3sn8absTf\n", "nfuSvJDkW0kWNriLGmKE353XJ3k6yalm/H6lg25qBUk+n2QxyYtD6owet1RVZwtLlyzPsfSE5TXA\n", "KeCWvjr7gePN+nuAP+2yzy5jj98/AX6oWZ9z/CZjGWXseur9V+D3gF/qut8uo48fsBX4NrCjKV/f\n", "db9dxhq/w8BvLo8d8FfA93bdd5cC+OfAHuDFAfvHilu6zohd7YSxzjs2GVrHr6r+pKr+uimeZOnp\n", "WXVvlM8ewIPAl4H/tZGdU6tRxu9fAV+pqosAVfWXG9xHDTbK+P1P4Aeb9R8E/qqqrmxgHzVAVX0D\n", "eH1IlbHilq4DsaudMNY/5pNhlPHrdT9wfF17pFG1jl2S7Sz9cTjSbPKG0skxymdvN3Bdkq8neb6Z\n", "y1GTYZTx+yzwE0n+B3Aa+MgG9U2rN1bc0vql3+ts1F/s/fOJ+QdhMow8DkneB/wb4L3r1x2NYZSx\n", "+wzwcFVVkvDuz6G6M8r4XQP8NPAvge8H/iTJn1bVy+vaM41ilPH7j8CpqtqX5B8Dzyb5qar63+vc\n", "N62NkeOWrgOxq50w9hKaBKOMH80N+p9l6ZsWhqVztXFGGbufAZ5cisG4HviFJJerqn8uQW28Ucbv\n", "AvCXVfV3wN8l+W/ATwEGYt0bZfz+KfCfAKrqz5N8F/gxlubo1GQbK27p+tLkaiaMVfdaxy/JPwB+\n", "B/hQVZ3roI9aWevYVdU/qqofraofZek+sX9rEDYxRvnd+bvAP0uyJcn3s3TT8Esb3E+tbJTxOwvc\n", "AdDcX/RjwF9saC91tcaKWzrNiNUqJoxV90YZP+A3gB8GjjSZlctVdXtXfdaSEcdOE2rE351nkzwN\n", "fBP4f8Bnq8pAbAKM+Pn7z8AXkpxmKWnyH6rqtc46rbck+SLwc8D1SS4Aj7B0K8BVxS1O6CpJktSR\n", "ri9NSpIkbVoGYpIkSR0xEJMkSeqIgZgkSVJHDMQkSZI6YiAmSZLUEQMxSZKkjhiISZIkdcRATJIk\n", "qSMGYpIkSR0xEJMkSeqIgZgkSVJHDMQkSZI6YiAmSZLUEQMxSZKkjhiISZIkdcRATJIkqSOtgViS\n", "uSRnk7yc5KEBdR5r9p9OsqfZ9veSnExyKslLSX6zp/51SZ5N8p0kX0uyde1OSZIkaToMDcSSbAEe\n", "B+aAW4F7ktzSV2c/cFNV7QYeAI4AVNX/Ad5XVbcBPwm8L8l7m2YPA89W1c3Ac01ZkiRpU2nLiN0O\n", "nKuq81V1GXgSuKuvzp3AEwBVdRLYmmRbU/7bps61wBbg9f42zb/vX81JSJIkTaO2QGw7cKGnfLHZ\n", "1lZnByxl1JKcAhaBr1fVS02dbVW12KwvAtuuou+SJElT7Xtb9teIx8lK7arq/wK3Jfkh4Jkk+6pq\n", "4R0VqyrJij9n0HZJkqRJVFX9MdFQbYHYJWBnT3knSxmvYXV2NNt6O/XXSX4f+BlgAVhMckNVvZLk\n", "RuDVQR0Y94Q0GZIcrqrDXfdDV8fxm16O3fQZNeng38PJdzUJpLZLk88Du5PsSnItcDcw31dnHjjQ\n", "dGAv8EZVLSa5fvlpyCTfB/w8cKqnzb3N+r3AU+N2XJKk2fHJZhm2rlk0NCNWVVeSHAKeYelm+2NV\n", "dSbJwWb/0ao6nmR/knPAm8B9TfMbgSeSfA9LAd9/qarnmn2PAl9Kcj9wHvjgWp+YJEmT6moyJ8tt\n", "zIzNlrZLk1TVCeBE37ajfeVDK7R7EfjpAcd8DbhjrJ5q2ix03QGtykLXHdBVW+i6AxrVcqbro2PU\n", "H7WupoUz62td9D+Uoeni+E0vx06aLq0ZMUmStDbWYjaA3mN4mXL6mRGTJGlDrfbme2/gnyUGYpIk\n", "SR0xEJMkSeqI94hJkrSO1vNbYrxfbPqZEZMkad2t131d3i827QzEJEmSOmIgJkmS1BEDMUmSpI54\n", "s74kSWtsPW/QH+VneuP+9DAjJknSutjoG+m9cX8aGYhJkiR1xEBMkiSpIwZikiRJHTEQkyRJ6ohP\n", "TUqStAa6eFJyEJ+gnB5mxCRJWjOT8uTipPRDbQzEJEmSOmIgJkmS1BEDMUmSpI60BmJJ5pKcTfJy\n", "kocG1Hms2X86yZ5m284kX0/y7STfSvLhnvqHk1xM8kKzzK3dKUmSJE2HoU9NJtkCPA7cAVwC/izJ\n", "fFWd6amzH7ipqnYneQ9wBNgLXAZ+rapOJfkB4L8n+VpVnQUK+HRVfXp9TkuSJGnytWXEbgfOVdX5\n", "qroMPAnc1VfnTuAJgKo6CWxNsq2qXqmqU832vwHOANt72vk4rSRpqiWp5aXrvgwy6f3b7NoCse3A\n", "hZ7yRd4ZTA2qs6O3QpJdwB7gZM/mB5tLmceSbB2jz5IkTZBJnypikvumtgldR42g+7Nbb7VrLkt+\n", "GfhIkxmDpcuXH2vWPw58Crh/xQMnh3uKC1W1MGKfJEmS1k2SfcC+1RyjLRC7BOzsKe9kKeM1rM6O\n", "ZhtJrgG+AvxWVT21XKGqXl1eT/I54KuDOlBVh1v6KEmStOGa5NDCcjnJI+Meo+3S5PPA7iS7klwL\n", "3A3M99WZBw40HdgLvFFVi0kCHANeqqrP9DZIcmNP8QPAi+N2XJIkadoNzYhV1ZUkh4BngC3Asao6\n", "k+Rgs/9oVR1Psj/JOeBN4L6m+XuBDwHfTPJCs+3Xq+pp4BNJbmPpEuZ3gYNrfmaSJEkTrvVLv6vq\n", "BHCib9vRvvKhFdr9IQMyblV1YLxuSpIkzZ7WQEySJL3TNE4H0dvnqnIKqQnhVxxJknRVpm1aiEmf\n", "ZmNzMhCTJEnqiIGYJElSRwzEJEmSOmIgJkmS1BEDMUmSpI4YiEmSJHXEecQkSRrBNM4dNohzik0O\n", "M2KSJI1sVubimpXzmH4GYpIkSR0xEJMkSeqIgZgkSVJHDMQkSZI6YiAmSZLUEQMxSZKkjhiISZIk\n", "dcQJXSVJGmCWJnEdxMldu2VGTJKkoWZ98tNZP7/JZiAmSZLUkdZALMlckrNJXk7y0IA6jzX7TyfZ\n", "02zbmeTrSb6d5FtJPtxT/7okzyb5TpKvJdm6dqckSZI0HYYGYkm2AI8Dc8CtwD1Jbumrsx+4qap2\n", "Aw8AR5pdl4Ffq6qfAPYC/z7Jjzf7HgaeraqbgeeasiRJ0qbSlhG7HThXVeer6jLwJHBXX507gScA\n", "quoksDXJtqp6papONdv/BjgDbO9v0/z7/lWfiSRJ0pRpC8S2Axd6yhd5O5gaVmdHb4Uku4A9wMlm\n", "07aqWmzWF4FtI/dYkiRpRrRNXzHqY7v9j7u+1S7JDwBfBj7SZMbeWbGqhj0enORwT3GhqhZG7JMk\n", "SdK6SbIP2LeaY7QFYpeAnT3lnSxlvIbV2dFsI8k1wFeA36qqp3rqLCa5oapeSXIj8OqgDlTV4ZY+\n", "SpK0ZjbD3GGDLJ+784mNpkkOLSyXkzwy7jHaLk0+D+xOsivJtcDdwHxfnXngQNOBvcAbVbWYJMAx\n", "4KWq+swKbe5t1u8FnkKSpImxWefW2ozn3K2hGbGqupLkEPAMsAU4VlVnkhxs9h+tquNJ9ic5B7wJ\n", "3Nc0fy/wIeCbSV5otv16VT0NPAp8Kcn9wHngg2t9YpIkSZOu9SuOquoEcKJv29G+8qEV2v0hAzJu\n", "VfUacMdYPZUkSZoxzqwvSZLUEQMxSZKkjhiISZIkdcRATJIkqSMGYpIkSR1pfWpSkqRZt5kncV1J\n", "7+vh5K7ry4yYJEnA5p3EdSW+FhvFQEySJKkjBmKSJEkdMRCTJEnqiIGYJElSRwzEJEmSOmIgJkmS\n", "1BEDMUmSpI44oaskadNyItd2Tu66vsyISZI2OScuHc7JXdeTgZgkSVJHDMQkSZI6YiAmSZLUEQMx\n", "SZKkjhiISZIkdaQ1EEsyl+RskpeTPDSgzmPN/tNJ9vRs/3ySxSQv9tU/nORikheaZW71pyJJkjRd\n", "hgZiSbYAjwNzwK3APUlu6auzH7ipqnYDDwBHenZ/oWnbr4BPV9WeZnl6FecgSdLIktTy0nVfpo2v\n", "3dpry4jdDpyrqvNVdRl4Erirr86dwBMAVXUS2Jrkhqb8DeD1Acd2UjhJUkecG+vq+LqttbZAbDtw\n", "oad8sdk2bp2VPNhcyjyWZOsI9SVJkmZK21ccjZp67M9utbU7AnysWf848Cng/hUPnBzuKS5U1cKI\n", "fZIkSVo3SfYB+1ZzjLZA7BKws6e8k6WM17A6O5ptA1XVq8vrST4HfHVI3cMtfZQkSdpwTXJoYbmc\n", "5JFxj9F2afJ5YHeSXUmuBe4G5vvqzAMHmg7sBd6oqsVhB01yY0/xA8CLg+pKkiTNqqEZsaq6kuQQ\n", "8AywBThWVWeSHGz2H62q40n2JzkHvAnct9w+yReBnwP+fpILwG9U1ReATyS5jaVLmN8FDq7HyUmS\n", "JE2ytkuTVNUJ4ETftqN95UMD2t4zYPuBMfooSZI0k5xZX5IkqSOtGTFJkqadE5Cuvd7XtKqcG/Qq\n", "mRGTJG0STka6tnw914KBmCRJUkcMxCRJkjpiICZJktQRAzFJkqSOGIhJkiR1xEBMkiSpI84jJkma\n", "Sc4dtnGWX2vnExufGTFJ0gxzrquN4Wt8tQzEJEmSOmIgJkmS1BEDMUmSpI4YiEmSJHXEQEySJKkj\n", "BmKSJEkdcR4xSdJMcf6w7vS+9s4pNhozYpKkGeS8Vt1w3rZxGYhJkiR1xEBMkiSpI62BWJK5JGeT\n", "vJzkoQEYW8xRAAAKBklEQVR1Hmv2n06yp2f755MsJnmxr/51SZ5N8p0kX0uydfWnIkmSNF2GBmJJ\n", "tgCPA3PArcA9SW7pq7MfuKmqdgMPAEd6dn+hadvvYeDZqroZeK4pS5IkbSptGbHbgXNVdb6qLgNP\n", "Anf11bkTeAKgqk4CW5Pc0JS/Aby+wnHfatP8+/6r674kSdL0agvEtgMXesoXm23j1um3raoWm/VF\n", "YFtLfUmSBkpSy0vXfdESx2Q0bfOIjfri9c8VMvKLXlVDBynJ4Z7iQlUtjHpsSdJmsjxtwkc77YWW\n", "zf54JNkH7FvNMdoCsUvAzp7yTpYyXsPq7Gi2DbOY5IaqeiXJjcCrgypW1eGWY0mSJG24Jjm0sFxO\n", "8si4x2i7NPk8sDvJriTXAncD83115oEDTQf2Am/0XHYcZB64t1m/F3hqrF5LkiTNgKGBWFVdAQ4B\n", "zwAvAb9dVWeSHExysKlzHPiLJOeAo8C/W26f5IvAHwM3J7mQ5L5m16PAzyf5DvAvmrIkSdKm0vpd\n", "k1V1AjjRt+1oX/nQgLb3DNj+GnDH6N2UJEmaPc6sL0mS1JHWjJgkSZPIaRGmR+9YVVX/TAubmhkx\n", "SdIU+yRvT5OgyeU4DWIgJkmS1BEDMUmSpI4YiEmSJHXEQEySJKkjPjUpSZoaPik5/XyC8p3MiEmS\n", "poxP4E03x6+XgZgkSVJHDMQkSZI6YiAmSZLUEQMxSZKkjvjUpCRpovmk5OxaHtvN/PSkGTFJ0hTw\n", "SbvZ5JgaiEmSJHXEQEySJKkjBmKSJEkd8WZ9SdJE8ib9zWMzf+2RGTFJ0gTzZu7NYfM+jNEaiCWZ\n", "S3I2yctJHhpQ57Fm/+kke9raJjmc5GKSF5plbm1OR5IkaXoMDcSSbAEeB+aAW4F7ktzSV2c/cFNV\n", "7QYeAI6M0LaAT1fVnmZ5eg3PSZIkaSq0ZcRuB85V1fmqugw8CdzVV+dO4AmAqjoJbE1ywwhtN9U1\n", "YEmSpH5tgdh24EJP+WKzbZQ6P9LS9sHmUuaxJFvH6rUkaSYlqeWl676oG5vtPdD21OSoL8K42a0j\n", "wMea9Y8DnwLuX/HAyeGe4kJVLYz5syRJU2X5pu2PdtoLdWV6xj/JPmDfao7RFohdAnb2lHeylNka\n", "VmdHU+eaQW2r6tXljUk+B3x1UAeq6nBLHyVJkjZckxxaWC4neWTcY7Rdmnwe2J1kV5JrgbuB+b46\n", "88CBpgN7gTeqanFY2yQ39rT/APDiuB2XJEmadkMzYlV1Jckh4BlgC3Csqs4kOdjsP1pVx5PsT3IO\n", "eBO4b1jb5tCfSHIbS5c+vwscXI+TkyRNvs1yL5DGtxkmem2dWb+qTgAn+rYd7SsfGrVts/3AeN2U\n", "JM226bkvSBtp9t8XzqwvSZLUEb9rUpK04bwcqXHN6mVKM2KSpI5s3u8X1NWYzfeLgZgkSVJHDMQk\n", "SZI64j1ikqQN4X1hWivL76VZuFfMjJgkaQPN5n0+2miz8x4yEJMkSeqIlyYlSevKS5JaL7MwpYUZ\n", "MUnSBpidS0maJNN/qduMmCRpzZkF00ab1uyYGTFJ0jqZ/myFpsl0vt/MiEmS1oRZME2KacqOmRGT\n", "JK2h6cxKaNZMz/vQjJgk6aqZBdOkm/TJX82ISZLGkqSWl6Ut05N90Ga09N589/t2MpgRkySN5J1/\n", "wJYDr4920hdpfG+/ZyfpHjIzYpKkgVbOfknT7u0sbteZMjNikqR3ePcfJLNfmmXdZsoMxCRpExuc\n", "BTD40ma0clC2bD2CMy9NStKM6r3kMmhZqrn8x8eb7qW3vftzMdrnaTytGbEkc8BngC3A56rqEyvU\n", "eQz4BeBvgV+pqheGtU1yHfDbwD8EzgMfrKo3Bvz8iXq6QZKmS29ma9C6pNGs/edpaEYsyRbgcWAO\n", "uBW4J8ktfXX2AzdV1W7gAeDICG0fBp6tqpuB55ryACv9T23U9fWqOy3tJrlvntPq201y3zynyemb\n", "pEnWdmnyduBcVZ2vqsvAk8BdfXXuBJ4AqKqTwNYkN7S0fatN8+/7V30mkiRJU6YtENsOXOgpX2y2\n", "jVLnR4a03VZVi836IrBtjD5LkiTNhFQNvgUryS8Bc1X1q035Q8B7qurBnjpfBR6tqj9qyn8APATs\n", "6mv7y8DPVtWHk7xeVT/cc4zXquq6FX6+94dJkqSpMe6TlW03618CdvaUd7KU2RpWZ0dT55oVtl9q\n", "1heT3FBVryS5EXh1pR/e9Wy3kiRJ66nt0uTzwO4ku5JcC9wNzPfVmQcOACTZC7zRXHYc1nYeuLdZ\n", "vxd4atVnIkmSNGWGZsSq6kqSQ8AzLE1BcayqziQ52Ow/WlXHk+xPcg54E7hvWNvm0I8CX0pyP830\n", "FetwbpIkSRNt6D1ikiRJWj+dz6yfZC7J2SQvJ3loQJ3Hmv2nk+zZ6D5qsLbxS/Kvm3H7ZpI/SvKT\n", "XfRT7zbKZ6+p97NJriT5xY3sn4Yb8XfnviQvJPlWkoUN7qKGGOF35/VJnk5yqhm/X+mgm1pBks8n\n", "WUzy4pA6o8ctVdXZwtIly3MsPWF5DXAKuKWvzn7geLP+HuBPu+yzy9jj90+AH2rW5xy/yVhGGbue\n", "ev8V+D3gl7rut8vo4wdsBb4N7GjK13fdb5exxu8w8JvLYwf8FfC9XffdpQD+ObAHeHHA/rHilq4z\n", "Ylc7Yazzjk2G1vGrqj+pqr9uiidZenpW3RvlswfwIPBl4H9tZOfUapTx+1fAV6rqIkBV/eUG91GD\n", "jTJ+/xP4wWb9B4G/qqorG9hHDVBV3wBeH1JlrLil60DsaieM9Y/5ZBhl/HrdDxxf1x5pVK1jl2Q7\n", "S38cjjSbvKF0cozy2dsNXJfk60meb+Zy1GQYZfw+C/xEkv8BnAY+skF90+qNFbe0fun3Ohv1F3v/\n", "fGL+QZgMI49DkvcB/wZ47/p1R2MYZew+AzxcVZUkvPtzqO6MMn7XAD8N/Evg+4E/SfKnVfXyuvZM\n", "oxhl/P4jcKqq9iX5x8CzSX6qqv73OvdNa2PkuKXrQOxqJ4y9hCbBKONHc4P+Z1n6poVh6VxtnFHG\n", "7meAJ5diMK4HfiHJ5arqn0tQG2+U8bsA/GVV/R3wd0n+G/BTgIFY90YZv38K/CeAqvrzJN8Ffoyl\n", "OTo12caKW7q+NLmaCWPVvdbxS/IPgN8BPlRV5zroo1bWOnZV9Y+q6ker6kdZuk/s3xqETYxRfnf+\n", "LvDPkmxJ8v0s3TT80gb3UysbZfzOAncANPcX/RjwFxvaS12tseKWTjNitYoJY9W9UcYP+A3gh4Ej\n", "TWblclXd3lWftWTEsdOEGvF359kkTwPfBP4f8NmqMhCbACN+/v4z8IUkp1lKmvyHqnqts07rLUm+\n", "CPwccH2SC8AjLN0KcFVxixO6SpIkdaTrS5OSJEmbloGYJElSRwzEJEmSOmIgJkmS1BEDMUmSpI4Y\n", "iEmSJHXEQEySJKkj/x+WH+x7jgI4hwAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,7))\n", "\n", "plt.subplot(2, 1, 1)\n", "plt.bar(t, p, width = 1/len(t), color = \"darkblue\")\n", "plt.subplot(2, 1, 2)\n", "plt.bar(t, q, width = 1/len(t), color = \"darkblue\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gamma = (.03)**2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Gibbs kernel is a Gaussian convolution,\n", "$$ \\xi_{i,j} = e^{ -(i/N-j/N)^2/\\gamma }. $$" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "[Y,X] = np.meshgrid(t,t)\n", "xi = np.exp(-(X-Y)**2/gamma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initialization of $b_0=\\ones_{N}$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [], "source": [ "b = np.ones(N)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One sinkhorn iteration." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [], "source": [ "a = p/(np.dot(xi,b))\n", "b = q /(np.dot(np.transpose(xi),a))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 3__\n", "\n", "Implement Sinkhorn algorithm.\n", "Display the evolution of the constraints satisfaction errors\n", "$ \\norm{ \\pi \\ones - p }, \\norm{ \\pi^T \\ones - q } $. You need to think how to compute it from $(a,b)$.\n", "Display the violation of constraint error in log-plot." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAl8AAAGyCAYAAADajaHcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XmYZWV59/vv3d00MyIyDwrIJIIISuNMK4LMCF0k0cQI\n", "OB1J0CQkETBH4HglYnz1JCYmMYnmgEfw1W4aaOZmKEFBQEEFmZpJaEDmeerpfv94VrFXl9VTVe29\n", "9q79/VxXXe5a9xruutzu/vmsZz8rMhNJkiR1xqSmG5AkSeonhi9JkqQOMnxJkiR1kOFLkiSpgwxf\n", "kiRJHWT4kiRJ6iDDlyRJUgcZviR1lYj4wkivO3G9Tl1TUn8zfEnqNmss43Unrtepa0rqY4YvSZKk\n", "DjJ8SZIkddCUphuQpBWJiNcA3wB2ABYC6wMPAj/JzK+uxPG7AW8DdgSuATYGXsnMM9rWtCQtg+FL\n", "Ui/YE/gM8HHgdODPMvOfh4oR8bfAmss49nRgE+AO4EOZ+YWIWBu4CTB8Seo4w5ekrpeZlwFExLaZ\n", "uSgithxW/8cVnOK+iDgVmFP9vjvw+Ph3Kkkr5pwvST0hIvah3GoEeOsoTvFB4MfV648D/2s8+pKk\n", "VeXIl6Re8XHgxOr1OhERmZkrc2A1Z2wD4AMRMRW4LjPPblOfkrRchi9JPSEz/7T2+p2rePgHgPMy\n", "8/Tx7UqSVl1bw1dE3Ac8CywGFmbmtHZeT5KGi4idgL8C7oqI9TLz2aZ7ktTf2j3ylcD0zHyyzdeR\n", "pBFl5u3Ae5vuQ5KGdGLCfXTgGpImjsFlvO7E9Tp1TUl9LFZyvuroTh5xD/AM5bbjtzPzv9p2MUmS\n", "pB7Q7tuO787MhyNiI2BuRNyemVcDRET7Up8kSdI4y8xxuZvX1vCVmQ9X//lYRMwGpgFX1+rektRK\n", "iYhTMvOUpvtQ9/O9olXh+0UrazwHjdo25ysi1oqIdavXawP7ATe363qSJEm9oJ0jX5sAsyNi6Drf\n", "z8xL23g9SZKkrte28JWZ9zK6R4BIIxlsugH1jMGmG1BPGWy6AfWftn7bcbkXLk8Gcc6XJEnqeuOZ\n", "W3ywtiRJUgcZviRJkjrI8CVJktRBhi9JkqQOMnxJkiR1kOFLkiSpgwxfkiRJHWT4kiRJ6iDDlyRJ\n", "Uge188Ha+0fE7RExLyK+0K7rSJIk9ZK2PF4oIiYDdwAfBB4EbgA+kpm31fbx8UKSJKkn9MLjhaYB\n", "d2XmfZm5EPgBcNjwnSJYq03XlyRJ6kpT2nTeLYAHar/PB/YaYb8nI5gH/BZ4bAU/L2TSzFPAJUmS\n", "xkm7wtfKhqTVgV2qnxV5KoJrgZ8AlwI3GsYkSVKvaVf4ehDYqvb7VpTRr2HW/yps/lrYYD045AH4\n", "wpPAxsBGI/y8Fjiw+vkHYH4E5wI/BK42iEmSpPESEdOB6W05d5sm3E+hTLjfB3gIuJ4xTLiPIIDX\n", "A+8G9gYOBjav7XIPcAZwRib3jssfIUmSVBnPCfdtCV8AEXEA8E/AZOA7mfmVYfVR/xERTALeDhwB\n", "/DGwZa08F/gWcH4mi0dzfkmSpLqeCF8rvPA4/RERTAY+AHwcmAGsUZXuB/4d+E4mj431OpIkqX8Z\n", "vpZ5Tl4LHA0cC7yx2rwA+N/Av2Zy/XheT5Ik9QfD1wrPzSRgP+DPgIOAoetcD/wr8MNMXmnHtSVJ\n", "0sRj+Fql67AN8Fngk5RvTEJZN+w/gf/IHOlbmJIkSS2Gr1Fdj7WAjwDHAbtVmxcDsymjYVe5XIUk\n", "SRqJ4WtM1yUoS1b8OWWC/tBaZzdTQtj3M3mh031JkqTuZfgatx7YHPhM9bNJtflp4LvAv2Vyd1O9\n", "SZKk7mH4GmcRTAUGKLck31FtTuAS4DvAeZksaKg9SZLUMMNXG0XwdsotyT+iPHsS4HHge8B3M7ml\n", "qd4kSVIzDF8dEMGGlNXzPwHsWitdTxkN+0EmzzbRmyRJ6izDVwdVE/TfDhwDfBRYryq9RPmm5PeB\n", "uZksbKZDSZLUboavhlTLVcygBLHptdJjwA8oQex6l6yQJGli6frwFRGnUBY1HXqm4omZefGwfXou\n", "fNVVi7d+FPgTYKda6S7g/6csWXFXE71JkqTx1Qvh62Tgucz8xnL26enwNaS6Lbk7JYR9BNi0Vr6O\n", "8lzJH7mSviRJvWs8c8uk8TjJMvR8sFoZmWQmN2byV8BWlGdKngE8D+wFfAN4IIKfRHBcBJs12K4k\n", "SWpYO0e+jgaeAX4OHJ+ZTw/bZ0KMfC1LNT/sEOAPgAOBNapSAlcBPwRmZfJIMx1KkqSV1RW3HSNi\n", "LkvfYhvyReBntOZ7fRnYLDM/Mez4CR2+6iJYFzgY+EPgAGBqVVoCDFJuTZ6dyeONNChJkparK8LX\n", "Sl8gYmtgTmbuOmx7AqfWNg1m5mBbm+kCEbyGMiL2h8CHgNWq0mLgcuBHwDkGMUmSmhMR01l6ZYOT\n", "uzp8RcRmmflw9fovgT0z86PD9umbka9liWB94DBKENuX1kO+FwM/BmYCszP5XTMdSpIk6IGRr4g4\n", "A3grZX7TvcBnMvORYfv0ffiqi2AD4HDKOmIfpDUilsBPgFmUW5MPNNOhJEn9q+vD10pd2PC1TNWI\n", "2CGUh31/iNYzJqEsXzGTMln/3gbakySp7xi++kg1Wf8gyojYgcBatfKNlBGxmZnc2UB7kiT1BcNX\n", "n6qWr9ifMiJ2CLBOrXwzVRADbvURR5IkjR/Dl4hgDcok/QHgUGD9WvkOWkHslwYxSZLGxvClpUQw\n", "FfgA5dbkh4ENa+V7KEFsFj70W5KkUTF8aZkimAK8jxLEjmDphXAfAM6mjIhdk8mSzncoSVLvMXxp\n", "pUQwGXgn5dbkDGDLWvl3tILY1Zks6nyHkiT1BsOXVlkEk4A9aQWxbWrlx4HZlFuTV2SysPMdSpLU\n", "vQxfGpMIAtidEsIGgB1q5aeA8ygjYnMzeaXzHUqS1F0MXxo3VRB7M60RsV1q5eeAOZQRsYszebHz\n", "HUqS1DzDl9omgh1pjYjtXiu9CFxIGRG7MJPnGmhPkqRGGL7UERFsSwliM4C9aqVXgIspI2JzMnm6\n", "gfYkSeqY8cwtk8bQxJER8ZuIWBwRewyrnRgR8yLi9ojYb+xtqgmZ3JPJ1zJ5B/B64C8oD/meChwG\n", "nAE8GsGFERwTwesabFeSpJ4w6pGviNgJWAJ8Gzg+M2+stu8MnEn5Zt0WwGXADpm5ZNjxjnz1qAg2\n", "Aw6njIhNpxXiFwNXUm5NnpPJI400KEnSOOuKka/MvD0zR3qY82HAWZm5MDPvA+4Cpo32Ouo+mTyc\n", "yb9lsg9lEddPA5cACXwQ+A/g4Qh+HMFxEWzRYLuSJHWVUYev5dgcmF/7fT74j+9ElcljmfxXJvsD\n", "GwNHUb4huZCy0v43gfkRXBPB8RFs3VizkiR1gSnLK0bEXJZ+PM2QkzJzzipcZ8R7mxFxSu3Xwcwc\n", "XIVzqstk8hRwOnB6BOsBB1NuTR5AWWn/ncD/iuDnVM+bzGReU/1KkrQsETGdMrVm/M891m87RsSV\n", "LD3n6wSAzDyt+v1i4OTMvG7Ycc756hMRrE0JYAPAQcA6tfKvKXPEZmVyawPtSZK0Ql211EQVvv46\n", "M39R/T404X4arQn32+WwCxm++lMEawL7UUbEDgVeUyvfRhkRmwn8OnPkEVNJkjqtK8JXRBxOmc+z\n", "IfAMcFNmHlDVTgKOARYBn8/MS0Y43vDV5yKYCuxDGRH7MLBBrXw31YgY8HODmCSpSV0RvsZ8YcOX\n", "aiJYDdibMiJ2BGXy/pDfAmdTwtjPMlny+2eQJKl9DF+a0CKYDLyb1vMmN6+VH6IEsVnA1Zks7nyH\n", "kqR+Y/hS34hgEuXRRkNB7A218qPAOZQRscFMFna+Q0lSPzB8qS9FEMDbaD34e7ta+UngXEoQuzyT\n", "VzrfoSRpojJ8qe9VQWxXWiNiO9fKzwLnUW5NXpLJS53vUJI0kRi+pGEieBOtEbHdaqUXgAsoQezC\n", "TJ5voD1JUo8zfEnLEcF2lCA2g/KA9yEvAxdRgtj5mTzTQHuSpB5k+JJWUgRvoCxdMQC8q1ZaAMyl\n", "zBE7L5MnG2hPktQjDF/SKESwBXA4JYi9l9aD5RcBV1BGxM7J5NFmOpQkdSvDlzRGEWxMWVV/APgA\n", "MLkqLQGuooyIzc7koWY6lCR1E8OXNI4ieB3lOZMDwL7AalUpgWsoI2KzMrm/mQ4lSU0zfEltEsH6\n", "wMGUyfr7A2vUyjdQRsRmZnJPA+1JkhrSFeErIo4ETgF2AvbMzBur7VsDtwG3V7tem5nHjnC84Utd\n", "LYJ1gAMpI2IHAWvVyjfRCmJ3NtCeJKmDuiV87USZH/Nt4Phh4WtOZu66guMNX+oZEawFfIgSxA4B\n", "1q2Vb6YVxG5toD1JUpuNZ26ZtOJdRpaZt2em/49ffSGTFzOZnckfAxtT5oidDjxNWWn/VOA3Edwa\n", "wZcj2K1ahV+SpKWMOnytwDYRcVNEDEbEe9p0DakRmbycyZxMjgI2AQ4AvkN5vuSbgL8DfgncGcFX\n", "InibQUySNGS5tx0jYi6w6QilkzJzTrXPlSx923EqsHZmPhURewDnAG/OzOeGnTspowVDBjNzcCx/\n", "jNSkCFYD9qbcmjwC2KhWvo/q1iRwfSbNfNNFkrRSImI6ML226eTG53y9eoJh4Wtl68750kQWwWTg\n", "PbQe/L1ZrfwA1fIVwDWZLOl8h5KkVdEVc76GebWZiNgwIiZXr7cFtge/lq/+ksniTH6cyXHAlpQg\n", "9k/AfGAr4C+Aq4H5EfxrBNOrwCZJmuDG8m3Hw4FvAhsCzwA3ZeYBETGDcjtxIeXbkF/KzAtGON6R\n", "L/WdCCZRHvY9UP1sXSs/Csym3Jr8cSYLO96gJGlEXbHUxJgvbPhSn6sm4e9OCWFHAtvVyk8A51KC\n", "2OWZLOh8h5KkIYYvaYKpgtiutILYTrXyM7SC2NxMXu58h5LU3wxf0gQXwc60bk3WFyx+DphDCWIX\n", "Z/JSA+1JUt8xfEl9JIIdKN+YHAD2qJVeAC6kBLELM3m+gfYkqS8YvqQ+FcG2tILYtFrpZeAiShA7\n", "P5NnG2hPkiYsw5ckIngDZTHXAeBdtdIC4BJKEJuTyVMNtCdJE4rhS9JSItgCOJwSxN5Ha+29hcBl\n", "lAVdz83k8WY6lKTeZviStEwRbAp8mBLE3k9rMeXFwJWUEbHZmTzaTIeS1HsMX5JWSgQbAYdRgtg+\n", "wJSqtAS4ilYQe6iZDiWpNxi+JK2yCDYADqVM2N8PmFqVEriGEsRmZfJAMx1KUvcyfEkakwheAxxM\n", "GRE7AFi9Vr6OVhC7t4H2JKnrdEX4ioivUT68FwB3A0dn5jNV7UTgGMock89l5qUjHG/4krpABOsC\n", "B1KC2IHAWrXyL2gFsXkNtCdJXaFbwte+wOWZuSQiTgPIzBMiYmfgTMrDg7egfNNqh8xcMux4w5fU\n", "ZSJYC9ifEsQOAdaplX9FK4jd1kB7ktSY8cwtk1a8y8gyc24tUF0HbFm9Pgw4KzMXZuZ9wF0svRik\n", "pC6VyYuZnJ3JR+HVyfrfA54FdgO+DNwawW8iODWCXavnUkqSVtKow9cwx1AecwKwOTC/VptPGQGT\n", "1EMyeTmT8zL5U2Bj4CDgf4CngJ2BLwG/Bm6P4O8j2N0gJkkrttzwFRFzI+LmEX4Oqe3zRWBBZp65\n", "nFM1M6tf0rjI5JVMLszkGGATyrcl/xN4HNgBOAm4Ebgrgn+MYJpBTJJGNmV5xczcd3n1iDiKMkF3\n", "n9rmB4Gtar9vWW0b6fhTar8OZubg8q4nqXmZLATmAnMj+DPgvZQ5YkcA2wJ/U/3cH8Esyjyxn2Wy\n", "ZBmnlKSuExHTgeltOfcYJtzvD3wd2DszH69tH5pwP43WhPvtctiFnHAvTSwRTKY8Y3KAspZYfbrB\n", "Q/BqEPtpJos736EkjV63fNtxHmWRxierTddm5rFV7STKPLBFwOcz85IRjjd8SRNUBJOAvSghbAB4\n", "Q638KHA2JYj9OJNFne9QklZNV4SvMV/Y8CX1hWru19soIWwAeGOt/AQwmxLErqhuaUpS1zF8SepJ\n", "VRDbjVYQ27FWfgo4lxLELsvklc53KEkjM3xJ6nlVENuZVhDbpVZ+FjiPMk/skkxe6nyHktRi+JI0\n", "4USwE605Ym+tlV4AzqeMiF2UyQsNtCepzxm+JE1oEWxHK4i9vVZ6ibKg80zggkyea6A9SX3I8CWp\n", "b0SwNSWIzQDeWSu9AlxCCWJzMnm6891J6heGL0l9KYItKYu5DgDvgVdX0R9a+HUmcG7mq0vgSNK4\n", "MHxJ6nsRbAYcTglie9N6XNoi4ApKEDsnk8ea6VDSRGL4kqSaCDYGDqMEsX2AyVVpCfBjShCbncnD\n", "zXQoqdcZviRpGSJ4HXAoJYjtC6xWlRL4CSWInZ3J/GY6lNSLDF+StBIiWB84hBLEPgSsXitfSwli\n", "szL5bQPtSeohhi9JWkURrAscRAliBwJr1so3UD34O5O7G2hPUpfrivAVEV8DDgYWAHcDR2fmMxGx\n", "NXAbcHu166sP3B52vOFLUiMiWBs4gBLEDgbWrpV/SRkRm5nJHQ20J6kLdUv42he4PDOXRMRpAJl5\n", "QhW+5mTmris43vAlqXERrEm5JTlAmSu2bq18C1UQA27NpJlbBZIa1xXha6mTRBwOzMjMPzF8SepV\n", "EaxOmaQ/QPn25Pq18h20gtivDGJSf+nG8DUHOCszz6zC1y3APOAZ4O8y8ycjHGP4ktS1IpgKvJ8S\n", "xA4HXlcr300riP3CICZNfB0LXxExF9h0hNJJmTmn2ueLwB6ZOaP6fSqwdmY+FRF7AOcAb87MpZ7B\n", "ZviS1CsimEJZyHWAssL+xrXyb2kFseszWdL5DiW1W9eMfEXEUcCngH0y8+Vl7HMlcHxm3jhsewKn\n", "1jYNZubgqJuRpA6IYDLwbkoQmwFsXivPB86mBLFrMlnc+Q4ljYeImA5Mr206ufHwFRH7A18H9s7M\n", "x2vbNwSeyszFEbEtcBWwS2Y+Pex4R74k9bQIJgHvoASxAWCrWvl3tILY1Zks6nyHksZLV4x8RcQ8\n", "YCq8+gDbazPz2IiYQRnRWkh5tMeXMvOCEY43fEmaMCIIYE9aQWybWvkxYDYliA1msrDzHUoai64I\n", "X2O+sOFL0gRVBbHdKbcljwS2r5WfBM6lBLHLMlnQ+Q4lrSrDlyT1iCqI7UJrRGznWvkZ4DxKELs0\n", "kxHnzkpqnuFLknpUBDtTRsQGgLfUSs8DcyhB7OJMXmygPUnLYPiSpAkggu1pBbG31UovAhdSgtgF\n", "mTzfQHuSagxfkjTBRLANrSC2V630MnAxJYidn8kzDbQn9T3DlyRNYBG8nrKY6wDwLmDos3IBcCkl\n", "iJ2XyVPNdCj1H8OXJPWJCDanPN5oAHgfMKkqLQIupwSxczJ5fOQzSBoPhi9J6kMRbAJ8mBLE3g9M\n", "rkqLgUFKEJudySONNChNYIYvSepzEWwIHEYJYh8EplSlpDxZZCZwdiYPNdOhNLEYviRJr4rgtcCh\n", "lCC2H+XpI0OuoQSxWZnc30B70oRg+JIkjSiC9YCDKUHsAGCNWvl6WkHsngbak3qW4UuStEIRrAMc\n", "SAliBwFr1co30gpidzbQntRTuiJ8RcSXKcPcCTwBHJWZD1S1E4FjKJNAP5eZl45wvOFLkjokgrWA\n", "D1GC2CHAurXyzZQgNjOTWxtoT+p63RK+1s3M56rXxwG7ZeYnI2Jn4ExgT2AL4DJgh8xcMux4w5ck\n", "NSCCNYB9KUHsMOA1tfJtVEEMuDmTZm6PSF1mPHPLpBXvMrKh4FVZB15dY+Yw4KzMXJiZ9wF3AdNG\n", "3aEkaVxl8nImczL5OLAx5dbkd4EngTcB/zfwK+COCP4hgj2qB4RLGgejDl8AEfH3EXE/cBTwlWrz\n", "5sD82m7zKSNgkqQuk8mCTC7K5BPAppRvS34beAzYHjgR+AVwTwRfi2Avg5g0Nsu97RgRcyn/Yxzu\n", "pMycU9vvBGDHzDw6Iv4F+Flmfr+q/TdwYWaePezcCZxa2zSYmYOj/kskSeMmgsnAeym3Jmew9L8F\n", "DwCzKLcmr81kye+fQeptETEdmF7bdHLjc76WOknE6ykBa5cqiJGZp1W1iykNXzfsGOd8SVIPiGAS\n", "5RmTQ0Fsy1r5YVpB7CeZLO58h1L7dcuE++0zc171+jhgWmZ+rDbhfhqtCffb5bALGb4kqfdUQWwa\n", "rSC2da38KDCbEsQGM1nU8QalNumW8DUT2JGynMTdwGcz89GqdhJlqYlFwOcz85IRjjd8SVIPq+Z+\n", "7UEJYgPAdrXyE8A5lCB2RSYLOt+hNH66InyN+cKGL0maMKog9hZaQWynWvlp4FzK7cm5mbzc+Q6l\n", "sTF8SZK6WgQ70wpiu9ZKzwFzKCNiF2fyUgPtSavM8CVJ6hkR7EiZHzYA7F4rvQBcQAliF2byQgPt\n", "SSvF8CVJ6kkRvJFWENuzVnoJuIgSxC7I5NkG2pOWyfAlSep5EbyBEsRmUJayGPIKcCkliJ2XydMN\n", "tCctxfAlSZpQItgCOIIyIvZeeHUV/YWUJYtmAudm8kQzHarfGb4kSRNWBJsCh1OC2HRaj8JbDFxB\n", "CWLnZPJoIw2qLxm+JEl9IYKNgA9Tbk3uA0ypSkuAHwM/AOZk8nAzHapfGL4kSX0ngg2AQykjYvsB\n", "q9XK1wHnAWdlcm8D7WmCM3xJkvpaBOtTbk0eAXwQWKNWvp5ya3JWJvc00J4mIMOXJEmVCNYG9gWO\n", "pASyNWvlGymLus4CbsmkmX/01PMMX5IkjaAKYvtT5ogdAqxTK99BmSN2CXB9Jos736F6VVeEr4j4\n", "MuXee1IeoHpUZj4QEVsDtwG3V7tem5nHjnC84UuS1DYRrEGZG3YYcDCwca38BOV5k1cCV2byYOc7\n", "VC/plvC1bmY+V70+DtgtMz9Zha85mbnrCo43fEmSOiKCKcCHgAOAA4Fthu3yEnAa8L8zuaPD7akH\n", "jGdumbTiXUY2FLwq6wCPj70dSZLGXyaLMrkgkz8H3gi8Bfgbykr6UOaJnQrcHsFvIvhmBPtGMLWh\n", "ljWBjWnOV0T8PfAx4EXgHZn5dDXydQswD3gG+LvM/MkIxzryJUlqXATrAZ+iLOj6XuA1I+x2MfAL\n", "4Hzg6cxXp9aoT3TstmNEzAU2HaF0UmbOqe13ArBjZh4dEVOBtTPzqYjYAzgHePOwkTIiIin/L2PI\n", "YGYOjv5PkSRpbCJYjTJh/9DqP7dczu7fA+4CXgt8xRX3J5aImE4J5ENObnzO11IniXg9cGFm7jJC\n", "7Urg+My8cdh2R74kSV2ruuX4Ucpo2CRga2B3Rh4ZA7gcuJ/yXMpfV8fcRJnc/zFgXeBnwEZV/cXq\n", "5wPAVODB6phfUW6DvlDVX6iOnVKdf0/KFwUWZ5IRvA9YjzL9ZyHli3BTq3NNoixGOwXYoDrPC5Qn\n", "BAz9vLbaZ6Rvfy7v3+ll1VZ1e4+IbzUeviJi+8ycV70+DpiWmR+LiA2BpzJzcURsC1wF7JKZTw87\n", "3vAlSeo5EewO7AjsTVnSYqNmO1JnBN0QvmZS3nyLgbuBz2bmoxFxBPD/UNL3EuBLmXnBCMcbviRJ\n", "Pa/6JuXewF7AG4BPA88Ct1Km7mwNPE8ZmVoN2IJyu/IRygjXWpSRqRuAnSkjaw9VtbVpjUytBcv8\n", "AsAjwG+r80wCFlD+fU7Kv8cLq56eBVav9plc/bxY9besL+EtLygsq7aq23tAfLbx8DXmCxu+JEkT\n", "UASrU24JLooggA0yeWIczrsB8HbgCsptzI8DZ1OeZ/nYWM+v5euKdb7GfGHDlyRJ6hFdsc6XJEmS\n", "Vp3hS5IkqYMMX5IkSR1k+JIkSeogw5ckSVIHGb4kSZI6yPAlSZLUQYYvSZKkDjJ8SZIkddCYw1dE\n", "HB8RSyJig9q2EyNiXkTcHhH7jfUakiRJE8WYwldEbAXsS3mY59C2nYE/pDwcdH/g3yLCETaNSURM\n", "b7oH9QbfK1oVvl/UhLGGom8Afzts22HAWZm5MDPvozy5fdoYryNNb7oB9YzpTTegnjK96QbUf0Yd\n", "viLiMGB+Zv56WGlzYH7t9/nAFqO9jiRJ0kQyZXnFiJgLbDpC6YvAiUB9PtfynvSdq96aJEnSxBOZ\n", "q56LImIX4HLgxWrTlsCDwF7A0QCZeVq178XAyZl53bBzGMgkSVLPyMzlDTSttFGFr987ScS9wNsy\n", "88lqwv2ZlHleWwCXAdvleFxIkiSpxy33tuMqeDVYZeatEfFD4FZgEXCswUuSJKkYl5EvSZIkrZxG\n", "1t+KiP2rBVjnRcQXmuhB3SUi7ouIX0fETRFxfbVtg4iYGxF3RsSlEbF+bX8X8u0jEfHdiHgkIm6u\n", "bVvl90dEvC0ibq5q/9zpv0Ptt4z3yikRMb/6fLkpIg6o1Xyv9KmI2CoiroyI30TELRHxuWp72z9b\n", "Oh6+ImIy8K+UBVh3Bj4SEW/qdB/qOglMz8zdM3NoXbgTgLmZuQPlCx4ngAv59qn/ofx3Xbcq74+h\n", "SbL/DnwiM7cHto+I4edU7xvpvZLAN6rPl90z8yLwvSIWAn+ZmW8G3gH8WZVH2v7Z0sQ/WNOAuzLz\n", "vsxcCPyAsjCrNPxbJIcCp1evTwc+XL12Id8+k5lXA08N27wq74+9ImIzYN3MvL7a74zaMZoglvFe\n", "gZGXQ/K90scy83eZ+cvq9fPAbZQvCrb9s6WJ8LUF8EDtdxdhFZT/Z3pZRPw8Ij5VbdskMx+pXj8C\n", "bFK9diFfwaq/P4ZvfxDfN/3kuIj4VUR8p3YbyfeKAIiIrYHdgevowGdLE+HLGf4aybszc3fgAMrQ\n", "73vrxeobs8t77/i+6mMr8f5Qf/t3YBvgrcDDwNebbUfdJCLWAWYBn8/M5+q1dn22NBG+HgS2qv2+\n", "FUsnRvWhzHy4+s/HgNmU24iPRMSmANWw7qPV7sPfQ0OL/Kq/rMr7Y361fcth233f9IHMfDQrwH/T\n", "mqbge6XPRcRqlOD1vcw8p9rc9s+WJsLXzymT0baOiKmUyWvnNdCHukRErBUR61av16Y8tupmyvvi\n", "49VuHweG/odxHvBHETE1IrYBtgeuR/1mld4fmfk74NmI2KuaJPux2jGawKp/QIccTvl8Ad8rfa36\n", "7/Y7wK1MBZIRAAAgAElEQVSZ+U+1Uts/W8ZrkdWVlpmLIuLPgUuAycB3MvO2TvehrrIJMLv60sgU\n", "4PuZeWlE/Bz4YUR8ArgP+ANwId9+FBFnAXsDG0bEA8CXgNNY9ffHscD/B6wJXJiZF3fy71D7jfBe\n", "ORmYHhFvpdw+uhf4DPheEe8G/gT4dUTcVG07kQ58trjIqiRJUge5NpIkSVIHGb4kSZI6yPAlSZLU\n", "QYYvSZKkDjJ8SZIkdZDhS5IkqYMMX5IkSR1k+JLUUyJiv4g4ISKOiYhrI+LwiPhB031J0srq+Ar3\n", "kjRGizLztIg4GPhRZs6OiGeabkqSVpYjX5IaFRFfGOn1smTmFdXL9wBXD9vWSE+StCoMX5KatsYy\n", "Xq/I7sAvxrmXkfpYlZ4kaYUMX5J6TkSsASzMzCVN9yJJq8rwJamnRMSbgC8AGRG7Nd2PJK0qJ9xL\n", "6joR8RrgG8AOwEJgfeBB4CeZ+VXg1HG6zg7AUcAgMA24OzPPGo9zS9KyGL4kdaM9gc8AHwdOB/4s\n", "M/95VU4QEX8LrLmM8unAY8BMYHpmPhkRfwmcMfqWJWnlGL4kdZ3MvAwgIrbNzEURseUozvGPy6tH\n", "xMeAW6rgNRXYODPvH13HkrTynPMlqStFxD6UW40Ab23DJTYEbqpefwC4pg3XkKTfY/iS1K0+Dpxb\n", "vV4nImKcz/8DYKuIOAj4W+CScT6/JI2orbcdI+I+4FlgMeVr4dPaeT1JE0dm/mnt9TvbcP6Hgc8B\n", "RMTJlEn3ktR27Z7zlVSTWdt8HUlaZRGxNvA3wFbAO4DLmu1IUj/oxG3H8b5VIEnjIjNfyMxTMnOz\n", "oUn+ktRu7Q5fCVwWET+PiE+1+VqSetPgMl43aXAZryVpzNp92/HdmflwRGwEzI2I2zPzaoCIyDZf\n", "W1KPqM+lH/959aPTjT1JalZmjsuHQVvDVzWhlcx8LCJmU1aQvrpW9xNNKyUiTsnMU5ruQ93P94pW\n", "he8XrazxHDRq223HiFgrItatXq8N7Afc3K7rSZIk9YJ2jnxtAsyuhuunAN/PzEvbeD1JkqSu17bw\n", "lZn30p5VqdWfBptuQD1jsOkG1FMGm25A/Scym5n3HhHpnC9JktQLxjO3+HghSZKkDjJ8SZIkdZDh\n", "S5IkqYMMX5IkSR1k+JIkSeogw5ckSVIHGb4kSZI6yPAlSZLUQYYvSZKkDjJ8SZIkdVDbwldE7B8R\n", "t0fEvIj4QruuI0mS1Eva8mzHiJgM3AF8EHgQuAH4SGbeVtsnIVfLZNG4NyBJkjSOxvPZjlPG4yQj\n", "mAbclZn3AUTED4DDgNuG7fdYBL8G7gWeBp6pfp6q/TwO3JPJS23qVZIkqWPaFb62AB6o/T4f2GuE\n", "/dYH3lf9LM+SCO4BbgKuBK4A7sxk/IftJEmS2qhd4WslQ9EW/wRbvg7Wfw0c9AB87nFKIHtt7WcT\n", "YFtgu+rnyOrgeyL4IfAj4CaDmCRJGi8RMR2Y3pZzt2nO1zuAUzJz/+r3E4ElmfnV2j4rfe80gqnA\n", "DsC7gA9UPxvVdrkd+C/gjEweH5+/QpIkqRjPOV/tCl9TKBPu9wEeAq5nhAn3o/0jIpgMvAf4A2AA\n", "2LgqLQBmAd8GrnI0TJIkjYeuD18AEXEA8E/AZOA7mfmVYfVx+SMiWA04CPgUcAAwdM5fVtf/QSav\n", "jPU6kiSpf/VE+Frhhcfxj2idkzcAnwA+Q2s07FHg34D/yOSR8byeJEnqD4avFZ6b1YE/Av4CeGu1\n", "eQFwJvDPmfyyHdeVJEkTk+Frpa9BUJax+AvKOmND1/sx8E3gPBd5lSRJK2L4GtX12BY4jnJbct1q\n", "8/3At4D/zuTJTvUiSZJ6i+FrTNdlPeDjlCC2fbX5JeB7wL9kckune5IkSd3N8DUu12cSsD/wOeBD\n", "tdIVlFuS52eyuIneJElSdzF8jbMIdgL+HDgKWLvafD/w38B3M3mwodYkSVIXMHy1SQSvAY6mBLE3\n", "VpuXAOcD/wlc7GiYJEn9x/DVZtUtyQ8AnwYOp/UMzAeA7wDfyWR+Q+1JkqQOM3x1UASbUCbof5ql\n", "R8MuAk4H5mTyckPtSZKkDjB8NaAaDXs/rdGw1arS08BZlCB2vc+TlCRp4un68BURpwCfBB6rNp2Y\n", "mRcP26enwlddBBsBH6WMiO1eK91BCWHf87akJEkTRy+Er5OB5zLzG8vZp2fDV10Eb6GEsD8GNqk2\n", "J3AZcAZwTibPN9SeJEkaB+OZWyaNx0mWoeeD1crI5NeZHA9sCRwMzAQWAvtSFm59NIKzIjgkgqkN\n", "tipJkrpAO0e+jgaeAX4OHJ+ZTw/bZ0KMfI0kgg2AP6SMhr27VnqKEs7OBK7KZEkD7UmSpFXUFbcd\n", "I2IusOkIpS8CP6M13+vLwGaZ+Ylhx0/Y8FUXwdbAH1HmiO1aKz0I/IASxG5yor4kSd2rK8LXSl8g\n", "YmtgTmbuOmx7AqfWNg1m5mBbm2lYBLsAH6EEsa1rpTspIeysTO5soDVJklQTEdOB6bVNJ3d1+IqI\n", "zTLz4er1XwJ7ZuZHh+3TFyNfI4kggHdQQtgfAhvVyr8Efgj8KJO7GmhPkiQN0/UjXxFxBvBWyrf+\n", "7gU+k5mPDNunb8NXXQRTKKvp/zHwYWC9WvlGWkHsngbakyRJ9ED4WqkLG75+TwSrA/sBfwAcBqxb\n", "K99AK4j9toH2JEnqW4avPhDBGsD+lCB2KLB2rXwdJYjNzOT+BtqTJKmvGL76TARrAgdQgtghwFq1\n", "8rW0gpir6kuS1AaGrz4WwVrAgZQgdjCwZq38U0oQm5XJgw20J0nShGT4EgARrA0cRAliBwFr1Mo/\n", "pSzoera3JiVJGhvDl35PBOtSRsL+gDJXrB7ErqMEsVmZ3NtAe5Ik9TTDl5arCmIHAgOUEbH6rclf\n", "UILYTNcRkyRp5Ri+tNKqW5P7U4LYISz9rclfAT+iBLE7GmhPkqSeYPjSqFTfmtyPEsQOZekFXW+h\n", "GhEDbvVZk5IktRi+NGbVgq4fBI6kLOi6fq18O60g9muDmCSp3xm+NK4imEp5xNEAcDiwQa08j1YQ\n", "u8kgJknqR4YvtU0EqwF7U4LYESz90O97aQWxGwxikqR+MZ65ZdIYmjgyIn4TEYsjYo9htRMjYl5E\n", "3B4R+429TXVKJgszuSyT/wvYDHg/8C3gd8A2wN9Qlq64L4JvRPCuiNG/jyRJ6jejHvmKiJ2AJcC3\n", "geMz88Zq+87AmcCewBbAZcAOmblk2PGOfPWQCCYD76KMiM2g/Hc75EFgFmVE7JpMFne+Q0mS2qcr\n", "Rr4y8/bMvHOE0mHAWZm5MDPvA+4Cpo32OuoOmSzO5OpMPg+8nhLEvgHcTwlinwOuAuZH8K0I3h/B\n", "lOY6liSpO7XjdtHmsNQDnuez9CiJelwmSzK5NpPjga0p4fofKXPCNgWOBa4AHorg2xHsW80lkySp\n", "7y13ZCIi5lL+MR3upMycswrXGfHeZkScUvt1MDMHV+Gc6gLVpPsbgBsiOAF4K+XW5JHA9sCnq58n\n", "IjiHcmvyikwWNNSyJEkrFBHTgeltOfdYv+0YEVey9JyvEwAy87Tq94uBkzPzumHHOedrAosggF1p\n", "BbGdauWngfMoQWxuJi93vkNJklZeVy01UYWvv87MX1S/D024n0Zrwv12OexChq/+EsHOlBA2gxLK\n", "hjwHzKEEsYszeamB9iRJWq6uCF8RcTjwTWBD4Bngpsw8oKqdBBwDLAI+n5mXjHC84atPRbADJYQN\n", "APVlSl4ALqAEsYsyeb6B9iRJ+j1dEb7GfGHDl4AItqUVxOrfin0ZuIgSxM7P5NkG2pMkCTB8aYKK\n", "4A2UVfUHKEtZDFkAXEIJYudl8nQD7UmS+pjhSxNeBFvQCmLvBYbeKwsp8whnAudm8kQzHUqS+onh\n", "S30lgk2BD1OC2PtprU+3GLiSEsRmZ/JoMx1KkiY6w5f6VgQbUZ6iMADsQ2utuiWUFfaHgthDzXQo\n", "SZqIDF8SEMEGwKGUCfv7AVOrUgI/pQSxszN5oJkOJUkTheFLGiaC1wAHU0bEDgBWr5WvowSxWZnc\n", "20B7kqQeZ/iSliOCdYEDKUHsIGDNWvkXtILYvAbakyT1IMOXtJIiWBvYnxLEDgbWqZV/RSuI3dZA\n", "e5KkHmH4kkYhgjUoc8MGKJP216uVb6UEsZnALdUDwyVJAgxf0phFsDrl25IDlGUsXlsr30kriP3S\n", "ICZJMnxJ4yiC1Sjrhw0Ah1OeVzrkHmAWJYjdYBCTpP7UFeErIo4ETgF2AvbMzBur7VsDtwG3V7te\n", "m5nHjnC84UtdJ4IplBX1ByhLWGxSK99PK4j9LJMlne9QktSEbglfO1EWtvw2cPyw8DUnM3ddwfGG\n", "L3W1CCZTnjE5FMS2qJUfohXEfprJ4s53KEnqlPHMLZNWvMvIMvP2zLxzPJqQulEmizO5OpPPA6+n\n", "BLGvA78FNgeOA34MPBjBv0XwgWrkTJKkZRp1+FqBbSLipogYjIj3tOkaUsdksiSTazP5a2AbYE/g\n", "q5Q5YZsAnwUuBx6O4L8i+FA1l0ySpKUs97ZjRMwFNh2hdFJmzqn2uZKlbztOBdbOzKciYg/gHODN\n", "mfncsHMncGpt02BmDo7lj5E6LYIAdqPcmjwS2KFWfgo4l3Jr8rJMXul8h5Kk0YiI6cD02qaTG5/z\n", "9eoJhoWvla0750sTTRXE3kwJYgPV6yHPAudR5oldkslLne9QkjRaXTHna5hXm4mIDSNicvV6W2B7\n", "yq0ZaULLJDO5JZNTMtkFeBPwd8AvKQu6/gkwG3gsgh9EMFCtwC9J6iNj+bbj4cA3KWsiPQPclJkH\n", "RMQMyu3EhZRvQ34pMy8Y4XhHvtQ3ItiO8o3JAeDttdJLwIWUW5MXZPLcCIdLkhrWFUtNjPnChi/1\n", "qQi2phXE3lErvQJcQgliczJ5uvPdSZJGYviSJogItgSOoASx99C6hb8QmEsJYudm8mQzHUqSwPAl\n", "TUgRbEZ5vNEAsDetOZmLgCsoQeycTB5rpkNJ6l+GL2mCi2BjygO/B4APAJOr0hJgkPKtydmZPNxI\n", "g5LUZwxfUh+J4HXAoZQgti+8unhrAj+hjIidncn8ZjqUpInP8CX1qQjWBw6hBLEPAavXytdSgtis\n", "TH7bQHuSNGEZviQRwXrAQZQgdgCwZq18A9WDvzO5u4H2JGlCMXxJWkq1WOsBlCB2MCy1eOsvKSNi\n", "MzO5o4H2JKnnGb4kLVMEa1JuSQ5Q5oqtWyvfQhXEgFszaeYDQJJ6jOFL0kqJYHXKJP0B4DBg/Vr5\n", "DlpB7FcGMUlaNsOXpFUWwVTg/ZQgdjjwulr5blpB7BcGMUlaWleEr4j4GmVuyQLKB/fRmflMVTsR\n", "OAZYDHwuMy8d4XjDl9SQCKZQFnIdoKywv3Gt/Fuqb00C12WypPMdSlJ36ZbwtS9weWYuiYjTADLz\n", "hIjYGTgT2BPYArgM2CEzlww73vAldYEIJlMebTRAeebkZrXyg1TfmgSuyWRx5zuUpOaNZ26ZtOJd\n", "RpaZc2uB6jpgy+r1YcBZmbkwM+8D7gKmjalLSW2TyeJMfpzJcZT/Hb8H+H+BByj/B+pzwFXA/Ai+\n", "FcH7q5EzSdIojDp8DXMMcGH1enNYaqXt+ZQPcEldLpMlmfw0k78C3gDsBXwNuBfYFDiW8pzJhyL4\n", "dgT7Rry64r4kaSUsN3xFxNyIuHmEn0Nq+3wRWJCZZy7nVE7elXpMJpnJ9Zn8LfBG4G3AV4B5wEbA\n", "p4FLgd9F8N0IDqwm9UuSlmO5tw4yc9/l1SPiKOBAYJ/a5geBrWq/b1ltG+n4U2q/Dmbm4PKuJ6kZ\n", "1bcfbwRujOCLwC6UOWIDwM7A0dXPMxGcR5kjdmkmLzfUsiSNSURMB6a35dxjmHC/P/B1YO/MfLy2\n", "fWjC/TRaE+63y2EXcsK9NDFEsDNlov4A8JZa6XlgDiWIXZzJiw20J0njolu+7TgPmAo8WW26NjOP\n", "rWonUeaBLQI+n5mXjHC84UuaYCLYgVYQ26NWepEyL3QmcEEmzzfQniSNWleErzFf2PAlTWgRbEtZ\n", "Q2yAMnF/yMvAxZQgdn4mzzTQniStEsOXpJ4SwetpBbF310oLKJP2ZwHnZb46ki5JXcXwJalnRbAF\n", "5fFGA8D7gKHPgUXA5ZQRsXMyeXzkM0hS5xm+JE0IEWwCfJgSxN4PTK5Ki4FBShCbnckjjTQoSRXD\n", "l6QJJ4INKU/IGAA+SGspnKSssD8TODuTh5rpUFI/M3xJmtAieC1wKCWI7QdLLd56DdWDvzO5v4H2\n", "JPUhw5ekvhHBesDBlCB2ALBGrXw9rSB2TwPtSeoThi9JfSmCdShP1RgADgLWqpVvpBXE7mygPUkT\n", "mOFLUt+LYC1gf0oQOwRYp1a+mRLEZmZyawPtSZpgDF+SVBPBGpS5YTMok/ZfUyvfRhXEgJur51RK\n", "0ioxfEnSMkQwFdiHMiL2YWCDWvkuWkHsRoOYpJVl+JKklRDBasB0ShA7HNioVr6PVhC73iAmaXm6\n", "InxFxNco30BaANwNHJ2Zz0TE1pRh/turXV994Paw4w1fkjomginAeyhBbAawaa38AOURRzOBazNZ\n", "0vkOJXWzbglf+wKXZ+aSiDgNIDNPqMLXnMzcdQXHG74kNSKCycA7KUFsANiiVn4YOJsSxK7OZHHn\n", "O5TUbboifC11kojDgRmZ+SeGL0m9JIJJwDRaQewNtfKjwGxKEBvMZFHnO5TUDboxfM0BzsrMM6vw\n", "dQswD3gG+LvM/MkIxxi+JHWVCAJ4G+W25JHAG2vlJ4BzKEHsikwWdL5DSU3pWPiKiLksPS9iyEmZ\n", "Oafa54vAHpk5o/p9KrB2Zj4VEXtQPqzenJnPteuPkKTxVgWxt1BGw44EdqyVnwbOowSxuZm83PkO\n", "JXVS14x8RcRRwKeAfTJzxA+fiLgSOD4zbxy2PYFTa5sGM3Nw1M1IUptUQWxnWrcmd6mVnwPmUILY\n", "xZm81PkOJY23iJhO+bb0kJMbD18RsT/wdWDvzHy8tn1D4KnMXBwR2wJXAbtk5tPDjnfkS1JPimBH\n", "yq3JAWD3WukF4AJKELsok+cbaE9SG3TFyFdEzAOmAk9Wm67NzGMjYgZlRGshsAT4UmZeMMLxhi9J\n", "PS+CN9IKYnvWSi8DF1GC2PmZPNtAe5LGSVeErzFf2PAlaYKJYGvgCEoQe2ettAC4hBLEzsvk6d8/\n", "WlI3M3xJUpeLYEvKqvoDwHuBoc+7hcBllCB2biZPNNOhpFVh+JKkHhLBprSC2HRgUlVaDFxJCWKz\n", "M3m0kQYlrZDhS5J6VAQbUR74PUB5APjkqrSE8gWloSD2UDMdShqJ4UuSJoAIXgccSpmwvx+wWlVK\n", "4KeUIHZ2Jg8006GkIYYvSZpgIlgfOJgyIrY/sHqtfB0liM3K5N4G2pP6nuFLkiawCNYFDqIEsQOB\n", "NWvlX9AKYvMaaE/qS4YvSeoTEaxNGQkbAA4B1q6Vf0UriN3WQHtS3zB8SVIfimBNytywAcpcsfVq\n", "5VspQWwmcEsmzXy4SxOU4UuS+lwEqwMfpASxDwPr18p30gpivzSISWNn+JIkvSqCqcD7Kd+aPBzY\n", "sFa+h+rWJHCDQUwaHcOXJGlEEUwB3kcZETsC2KRWvp8SwmYCP8tkSec7lHpTV4SviPgyZc5BAk8A\n", "R2XmA1XtROAYyurNn8vMS0c43vAlSW0UwWTg3ZQgNgPYvFZ+iFYQ+2kmizvfodQ7uiV8rZuZz1Wv\n", "jwN2y8xPRsTOwJnAnsAWlGeY7ZCZS4Ydb/iSpA6JYBLwDkoIGwBeXys/ApxNCWJXZbKo8x1K3W08\n", "c8ukFe8ysqHgVVkHeLx6fRhwVmYuzMz7gLuAaaPuUJI0ZpksyeSaTI4HtqZ8Lv8jZU7YJsBngcuB\n", "hyP4rwg+FPHqivuSxtGowxdARPx9RNwPHAV8pdq8OTC/ttt8ygiYJKkLZJKZ3JDJF4DtgD2Af6B8\n", "S3JD4JPAxcAjEfxPBAdV366UNA6We9sxIuYCm45QOikz59T2OwHYMTOPjoh/AX6Wmd+vav8NXJiZ\n", "Zw87dwKn1jYNZubgqP8SSdKYRBDAmym3JQeq10OeBc6jzBO7JJOXOt+h1DkRMR2YXtt0cuNzvpY6\n", "ScTrKQFrlyqIkZmnVbWLKQ1fN+wY53xJUheL4E205ojtViu9AJxPmSN2USYvNNCe1FHdMuF++8yc\n", "V70+DpiWmR+rTbifRmvC/XY57EKGL0nqHRFsTyuIva1Wegm4kBLELsjkuREOl3pet4SvmcCOlOUk\n", "7gY+m5mPVrWTKEtNLAI+n5mXjHC84UuSelAE21CC2AzKNyiHvEKZKzYLmJPJ0w20J7VFV4SvMV/Y\n", "8CVJPS+CrSiLuQ5Q1hQb+lxfCMyljIidm8mTzXQojQ/DlySp60SwOeXxRgOUVfaHvlG/CLiCEsTO\n", "yeSxZjqURu//tHf/sVbXdRzHn697kRTBjCxAJLFAE3FJLHCZ867UpBmksX5sMXTWWhS1ciuophVr\n", "859YbS3/iYxa0RyGwzQSGqQskkgUCFRkYIBwMYOQpOLHuz8+nwtfTocfh3vv95xzz+ux3d3v+Xy+\n", "33M+Z/fD97z4fD/fz3H4MjOzhibxVtIXfk8F3g+056qjwApSEFsUwe66NNCsRg5fZmbWNCTeTFqA\n", "eypwIxxbvDWAlaQg9uuIE9aINGsoDl9mZtaUJN4EfJgUxD4I9C9UryIFsYcieKkOzTM7KYcvMzNr\n", "ehIXALeS7pr8EHBuofrP5C/+jmBLHZpndgKHLzMz61MkBgKTSCNitwIDCtXPkEbEFkbwfB2aZ+bw\n", "ZWZmfZfEANIlyamkS5SDCtUbyEEM2BhBfT7ErOU4fJmZWUuQOBe4iXRpcgpwYaH6eY4HsWcdxKw3\n", "OXyZmVnLkehPWrZiKmk9scGF6i0cD2J/cRCznubwZWZmLU3iHOAGUhC7HXhLoXobsBhYBKyM4HDp\n", "DbQ+x+HLzMwsk2gH3kcKYh8FhhWqXyUFsYWkILa//BZaX9AQ4UvSHGAyaZG8V4E7ImK7pJHAJuC5\n", "vOuqiJhR5XiHLzMz61ESbaRLkzeSRsRGF6oPAQtII2LLIjhQfgutWTVK+BoUEa/l7ZnAuyLi0zl8\n", "PRIRV5/meIcvMzPrNRICriSNhk0GxnP8i78PAstJAwV/BB6N4N/1aKc1h57MLW2n36W6ruCVDQT+\n", "3v3mmJmZ9YwIIoKNEcyJ4D3AKGAu8CxwHmlh16+QLkkelAiJBfnrkMx6TbfmfEn6LjANeB24NiL2\n", "5ZGvDcBm4J/ANyNiZZVjPfJlZmZ1IXEp8AHSgq63VdnlICmk/QHoBPaTRtH+RZpqszXXdwL/hRT2\n", "er3hVUj0Ay4mTQM6Wvhd7edItXLfHXp6pV12lLQUGFql6usR8Uhhv1nAFRFxp6T+wPkRsVfSu4GH\n", "gasqRsqQFMC3C0UrImLF2b8VMzOzsyMxAZgPvLMbT/Mk8BvgHaT5ZoOBPwEvAAeAl0lXnEaRvkpp\n", "Vz7uMLAP+BtpXtq+XHak8NxtwOWkmwp2AGuAC4Cbgas5cdmNsxH59RzCjlkuWF64Qjinre5zvk54\n", "EultwGMRMbZK3XLg7oh4uqLcI19mZtZwJIaRAtIQ0uT9KcB24BXgjcB7gfa6NbC6vaRRubbCjyoe\n", "t1c8Lv7YaYm6hy9JoyNic96eCUyIiGmSLgL2RsQRSW8HngDGRsS+iuMdvszMrCnly5Z3kCbsPw1M\n", "BzpIlyR3A/1Ily6fAC4lrUP2BtKI18ukRWGHk0ab+pGC3hCgP2lEqz2Xd31ItwHX5+1OYFXeZymw\n", "BNgSwdFuvJ+2/Hp2UvpPI4SvhcAVpI6zBfhcROyRdDvwHdLQ6VHgnoh4tMrxDl9mZmbWFBpiqYlu\n", "v7DDl5mZmTWJhlhqwszMzMxq5/BlZmZmViKHLzMzM7MSOXyZmZmZlcjhy8zMzKxEDl9mZmZmJXL4\n", "MjMzMyuRw5eZmZlZiRy+zMzMzErk8GVmZmZWom6HL0l3SzoqaXChbLakzZKek3Rzd1/DzMzMrK/o\n", "VviSNAK4CXipUDYG+DgwBrgF+JEkj7BZt0jqqHcbrDm4r1gt3F+sHrobiuYCX60omwIsiIhDEbEN\n", "eBGY0M3XMeuodwOsaXTUuwHWVDrq3QBrPWcdviRNAXZExLqKqouBHYXHO4DhZ/s6ZmZmZn1Jv1NV\n", "SloKDK1S9Q1gNlCcz6VTPFXU3jQzMzOzvkcRteciSWOB3wOv56JLgJ3AROBOgIi4L++7BLg3Ip6q\n", "eA4HMjMzM2saEXGqgaYzdlbh6/+eRNoKjI+If+QJ978kzfMaDiwDRkVPvJCZmZlZkzvlZccaHAtW\n", "EbFR0oPARuAwMMPBy8zMzCzpkZEvMzMzMzszdVl/S9IteQHWzZK+Vo82WGORtE3SOklrJa3OZYMl\n", "LZX0gqTHJV1Y2N8L+bYQST+R1ClpfaGs5v4habyk9bnuB2W/D+t9J+kr35K0I59f1kqaVKhzX2lR\n", "kkZIWi7pr5I2SPpiLu/1c0vp4UtSO/BD0gKsY4BPSrqy7HZYwwmgIyLGRUTXunCzgKURcTnpBo9Z\n", "4IV8W9QDpL91US39o2uS7P3AXRExGhgtqfI5rflV6ysBzM3nl3ER8VtwXzEOAV+OiKuAa4HP5zzS\n", "6+eWenxgTQBejIhtEXEI+BVpYVazyrtIJgPz8/Z84CN52wv5tpiIeBLYW1FcS/+YKGkYMCgiVuf9\n", "flY4xvqIk/QVqL4ckvtKC4uI3RHxTN4+AGwi3SjY6+eWeoSv4cD2wmMvwmqQ/me6TNIaSZ/JZUMi\n", "ojNvdwJD8rYX8jWovX9Ulu/E/aaVzJT0rKR5hctI7isGgKSRwDjgKUo4t9QjfHmGv1VzXUSMAyaR\n", "hn6vL1bmO2ZP1Xfcr1rYGfQPa233A5cB1wC7gO/VtznWSCQNBB4CvhQRrxXreuvcUo/wtRMYUXg8\n", "ghMTo7WgiNiVf78CLCJdRuyUNBQgD+vuybtX9qGuRX6ttdTSP3bk8ksqyt1vWkBE7IkM+DHHpym4\n", "rz8CLdUAAAEtSURBVLQ4SeeQgtfPI+LhXNzr55Z6hK81pMloIyX1J01eW1yHdliDkDRA0qC8fT7p\n", "a6vWk/rF9LzbdKDrH8Zi4BOS+ku6DBgNrMZaTU39IyJ2A/slTcyTZKcVjrE+LH+AdrmNdH4B95WW\n", "lv+284CNEfH9QlWvn1t6apHVMxYRhyV9Afgd0A7Mi4hNZbfDGsoQYFG+aaQf8IuIeFzSGuBBSXcB\n", "24CPgRfybUWSFgA3ABdJ2g7cA9xH7f1jBvBT4DzgsYhYUub7sN5Xpa/cC3RIuoZ0+Wgr8FlwXzGu\n", "Az4FrJO0NpfNpoRzixdZNTMzMyuR10YyMzMzK5HDl5mZmVmJHL7MzMzMSuTwZWZmZlYihy8zMzOz\n", "Ejl8mZmZmZXI4cvMzMysRA5fZmZmZiX6H45cb9n02bnoAAAAAElFTkSuQmCC\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/optimaltransp_5_entropic/exo3" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the coupling. Use a log domain plot to better vizualize it." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAToAAAE3CAYAAAA63I2CAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAHgZJREFUeJztnWlv21gSRa8WipJlO+n5pfO3G41J0ra1S9R8EOq5WHqU\n", "N630OUBgypRpJei+uLW8qs52uxUAQJvpXvoDAACcGoQOAFoPQgcArQehA4DWg9ABQOtB6ACg9SB0\n", "ANB6EDoAaD0IHQC0HoQOAFpP/9y/8L///e92vV5LklarlRaLhSRpsVhoNptpNptJkiaTiSaTiSTp\n", "5eWldm+xWGi1WkmSNpuNttut7CgbR9oAvi/b7baT+z6ODgBaz9kd3WKxUFVVknZuzOh0Our3+yqK\n", "QpI0GAzS/aqqDro2/5zcfQD43pxd6Cz8NEz0JKnb7SahK8uyJmwmdvY6EsWu6X0A8P0gdAWA1nMR\n", "R9ft7vS106nnDbvdrnq9nqRd6Ood3FvuzJ612WxqLhFXBwBnF7rJZKJ+f/dr+/3+nujZ616vp8Fg\n", "ICkvVvb+TqeT/kRM8BA7gO/N2YXu5eUlCdhgMEii1+1207Wk5OwML2Tx2gtdp9OptZ5UVYXgAXxz\n", "yNEBQOu5iKMry1KStF6v07VVW83JdTqdRlfnHVyv11O3200hr79erVay5mRJNBYDfFMuInQmPr5w\n", "EHvlTMAk1cJbqS503W5XnU6nltszgbR7FCoAvjeErgDQei5SdbXm3s1mU7uuqiqFslI9VO33+8mB\n", "RQfnCxn9fj85OnN3y+VS0i6U9b+PUBbge3B2oZtOp0ls1uv1uyqi1oZiwlcURS107fV6NaGL1174\n", "rCK7Xq9roSyiB9BeLnrW1R/rqqoquSzp9diXURRFtuBgrs3n87zQFUWRCh3z+TxNS1kul1qv17V8\n", "of8s9hkA4PYhRwcArefsjm61WtUcXc7dSXk35VtQfAXWHx1brVbJ0RVFocFgUGtQns/nknbO0s+1\n", "eyt/h7sDuF3OLnQxPI3XJjY+dPUhrGFiZv12sQAh5YXOrufzuYqiSIWK5XJZy9/5/GGcnILoAdwW\n", "hK4A0HrO7uia3JE5uI829MaKrHd0m81G/X4/ubiyLDUcDiXtHN18Pk+Ozl8vl8tUrJC05+7eE2YD\n", "wPVwdqHzopATvVzVNYpLDB99C4mvyFrV1cLhwWCQ+vSGw6EWi0USt8VikfJ3Jnq+/66pLSU3EBTh\n", "A7guzi50Ul0Q/CQSL2CxUOFfx/47Lyy+mTj22BVFkVzacDjUarWquTjfeuIdnhdEy+V5t+dHvjdN\n", "Qkb8AC4HOToAaD0XcXQe7+BiWOsdnT8u5h2dfd/ulWVZaxiOU1DsnlV4vTOz8NTaTiyU9WsZ5/P5\n", "nhP06xv9Z4mz8KL7xOUBnIeLC51h/9P79pJ4asILil1bKDkajdLPWx5us9mkQoSkWhgr7ULZKKb2\n", "/M1mk4TP5+ssxPWvTRDX63W2TcU+y6EjZwggwOkgdAWA1nM1jk5qdjkWAubCTHNQ5rBGo1G6V5Zl\n", "zdVtt9vabDt/osLuS7tCRZys4l2ad22+iGEhbq4J2Sq3h4oYhwYM4PIAPk/n3P8DdTqdd//COFHY\n", "RCn2xpVlmULX0WiUeuXs2kJZfzIiTjbxbSmG7+mLOcGc6JrgNoW8/t5isdgLxWOYa7/3UO+h/wrw\n", "3dlut/tbsnTlQhd+bm80k/TaK2cCNhwOk9ANh8Oa8EXR8z/np57Y873QemKPX5yv5wXMhM4EMRY8\n", "/PtyBQ4TwEMi2NRqQ94PvhtNQkeODgBaz804uvCMmruLE4b9If7o8OzaQt5cWFsURc3h+WNlviE5\n", "Yo7KNzbbv6/l5A6FvLGS7K/96/eEvLlVj02nUOx7ALfOzYeuB54nSdmhnHHwZjwCZkJor+1eWZYp\n", "tJVUe0YutxcX9eQwAfRtNIfyflHMYlFD2i/ExPf51774EVtdDvX75aa1IIpwrRC6AsC35eYdXeb5\n", "tSJCHLveNJTTXJz06u5y9w4VMczp5Sq59rni2V5/7R1ebJb2p0L8dXRt0fk1OcGca/TPzy0wylWA\n", "47SZ3H9POEA4F60NXd/x+2rXXni8KHnByomgha4W8jbl9nJhrl37ycj+Ooa8h9pcvLjYtRclE6x4\n", "msQLmwmiF7qmkDeeQolCG4/l5Y6/mTjmdnEQGsMx+bZC10RsHYlTT2ILixdB7+hyE4xN6LwTzImg\n", "Hw2fW9NonyUK9KG2F39toiN97OxwFMUmgVwul+kZ0SVGp3moaBLzlfH883t7CBFIIEcHAN+Wb+vo\n", "DpFze7GdJee+YpXXOz/7fmxY9tf+5+Ju2lyrS1z1eCgnmKsGNzkl7wZj7jDXIC3l22eamp5j2Hwo\n", "XxidYNOQhDgw4dBpkkMuEFd42zQ5uqs663otvHW0Kub9oiDGwZ/SqyjFnbPSq7BFUZT2ix+58Ldp\n", "eXfcd+t7AeMmNX+vqUUm9+8UBaRpw5s/qxyHqEbBjMJ2SATjGWR/LzcKP1dsaZpkfWgCtn3vretD\n", "34PzQegKAK0HR/cJ3psAj84vfo2OyldkvRPMFUOkfUfnq8P2/Vw4HE9+eLdny4bilBf7LP51HIQQ\n", "q8eHmqf9dVPLSjzLG8Nm/zpXDTa3l7uOswf9z+VC5ehKY3gfnaGvPh+6994QG74GQndCPloRbBKJ\n", "mCOM+cKcQJp45ULlXMgbQ+Moiva+KJAxd9gUKpuA2ut4ncuHxn8HTy6MjFXmOOZL2j8alxOepgnR\n", "h56f632U9sNoP7zBFjL51zbyy4Y+eNFtWvYOb0MxogXkxCBXjGhqpM6JpRew9wjdYDCoiZu9tvd5\n", "wYzPzAm0vc/nOX0u0T5zPAJo1+8Ry/dwKB+b+76078yiS/QTbBaLhWazmSRpMploOp2m6+fnZ728\n", "vOzdM3H0bpORXTtoLwGAbwuhawv4apUvOp63qsoxdPbXubabXMW5ye3FELvJQb7VdpMLnXOfM143\n", "3cs53XgvN+jBvvqwNro7v084OrqnpydJ0r///qs/f/5Ikv78+aPn52dNJhNJ0mw2q+UgCW33Qejg\n", "KL1kTSGdv/5onvEtgYxFmnidO4oXc5DvzV3m2nzs72Ci6gs/sbiTG+1luTx/BtlEbzabaTKZpNDV\n", "C93v37/169cv/f79W9JO+Ox9s9msdmKFosYOQlcAaD04OjgKH02GvxUu29dDTjC25MRiR+5csbk0\n", "35AdzyrHfSTS60Sb3BBXu7a/e6wq58b02z1fzfXubj6f10LZp6cn/ec//5G0c3B//fWX/ve//0mS\n", "fv36la7N3fkVnN7dfVcQOrgInwmX3+pLbAqHcwMafHhqYmZH9PwAVhOzu7s7jUYj3d3d1V7b9Xg8\n", "Tvf8SQz7bD5/5wXZh7Re9NbrdWo/kaSHh4cUnj48PKQ/kvT4+Fj7XL9+/Uq5vclkktpXfIvKdwOh\n", "g5vhrb7Ej+QHc8ITFy356TN3d3dJ0CRpPB6n6/v7+/THXvujaU2iF1tr/GfebDYajUZJpPzvG4/H\n", "e7/PhG48Hms0GtXE+/n5WdLr5rncuKy2Q44OAFoPjg5awyHHZ25ps9mo0+kkx5WbQ9hUdfWhq7kq\n", "6TWUfHx8lLSrfNoJB6uAehcV84y+ehtDWQudl8tlbV+x/fGvpf0Vn2VZpr/P09NTrRXlO7WhIHTw\n", "LTgkgiZCFuKaEHS73ZQj6/f7mkwmKST0ond/f68fP36kvrbpdJp+LneUy/9+L7SxuGLFCqm+2Mny\n", "iIcKI/69vhDz77//pgJHbENpM4SuANB6cHTw7YmtMRZK+sP5tlbSQtLZbJac0XQ61XQ6TY4unks1\n", "VydprxiQC2Wl12ZpuxdnFMZdJdHt+WJEnGBjrvE7VWQROoBAriew0+nsCZ8/nJ8TPum1H84E5VAY\n", "a79Hes0Xmkj566qq9vKHUdhyfYImdL7ibC0rJuBtFTuEDuAdxAnDcUqyXyTu+9/iKCY/dcSaeWP7\n", "ibRfGPFtKdYQbc/JNUcfGsufW8f5/PycPrP9/doEOToAaD04OoAPkJsAHHfoendneT3/OubrmkLl\n", "Q/tHcg5Pyp/8iKdCclVec5IWwsZG51sHoQP4JE2Lc+KEYV/EiEL31kmF3Oh9E7q4F1janywdp8HE\n", "STHxxIgdHZvP57XBnrcOoSsAtB4cHcAR8Et94i7cuHrRHJ1VYHOrF2OrSwxjB4PB3jw8u/fWfD//\n", "XiM3bt5PQLl1V4fQARyJpm1euWU5du23kB3a/fDe6Sx2HcNVu9e0fCju2Yh/H/t8twpCB3AC4hLs\n", "QxvC4oYye59/jie3+KhpJWWcjZfbwGbX/vfFycS33npCjg4AWg+ODuCE5PbPxqbjXI7OTk3ElhP7\n", "2rSkKO6oyDm6prl9Mc8Y3Z1Vjm9xDwVCB3AGmgQkLteO+bpDI+qbdvb6Xjm/xCe3wMiwz5Kb8mKf\n", "Me6qbfpc1wihKwC0HhwdwBnx4eFqtdoLZaPbe4+jy137ZTzWWPyWo2sqmlhI7V2pHwJwC64OoQM4\n", "M15MTOzs+7EC+97tajnxknY5O99vFz/HodMdMaT2YbUXa/v+NYPQAVwIExXrq8vl5Jpye55DBQZ/\n", "JtY7vdxnyQmtfT5/ljeuUPQ/d62QowOA1oOjA7ggsVUjtnC8teIxh3d0dlxMej3Eb64uF7r6huXY\n", "2ByPrkkfD7EvBUIHcCX48G+xWGSFKMd7xWUwGOxtHTvU0+ev4+gpL3p+UnJuavI1QOgKAK0HRwdw\n", "RfjigzmoeM/uf9Q5VVVV2/Pqw9iyLGuNwDF09Tsy4tj4psEE1wRCB3CFmOh4sftMvu4QPozt9Xpp\n", "Sbe0E6w4ZcXyh4vFIl3HLWc+dL0mwUPoAK4U77CWy+WXhSO6QMvZSa9tKFa4yDk6v8nMppnMZjPN\n", "ZrP02ru7axI6cnQA0HpwdABXjK9mGrYo+xj4vbF+veJgMNBwOJQk3d/fp90X0s5dmoObz+d7C7t9\n", "Lu9aXB1CB3AD+DBWer/Y5aYG51pWbOJJzNlJ0nA41Hg8ri348aHrZDJJn+fl5UWz2UzSLuS9FqEj\n", "dAWA1oOjA7gRYhj7mRA2Oix7XZZlbXadD2PLstR6vdb9/b2kfUf38vKi5+dnSdLT01O6XiwWV3MG\n", "FqEDuDE+EsY2TTWx58Qw1h/691OLi6JIrSf39/cpjI1C9+fPH/3+/VvSLoy1FpVLg9AB3CBvid2h\n", "2XNNz9tutykv5wXPlmWXZSlJGo1GGo/HkqTHx0f9/PkzCd3v37/1zz//SJJ+/fp1lLaYY0CODgBa\n", "D44O4Eb5aOtJnFsXn+Wnl/hmYmlXhfU5u7u7O0nSeDzWjx8/kqP766+/9PPnT0nS33//rclkchWO\n", "DqEDuHFiGDudTrOLqaPIxQ1g/mtVVSmM7Xa72m63Sfh8GHt3d6f7+3s9PDxIkn7+/KkfP35I2oW4\n", "3W73KgoShK4A0HpwdAAtwIexcepJHK3+1pIc+2rXvu1E2m8mvru7S47u8fFRj4+PknbV2V6vdxWV\n", "V4QOoEXkpp54Yev1eqltJIa1uVMU0i6M9T/n91DYUTGrwj48PKTQ9f7+Xv1+P7WiXBKEDqBlxKkn\n", "VqA4tMj6kNBZ24kvTvijYmVZpnOx4/E4ubvxeFxzg5csSpCjA4DWg6MDaCE+7LQwdjKZ7K0/tHDU\n", "QtOc27O2E1+FNaztxBydbyZ+eHhIP3NpEDqAFhMX7nhx86PUbUyTv9cUyvql2NJO7GzckxUnpF3r\n", "SVmWhK4AAOcARwfQcnKuTqpPKOl2u+r1eims9e7O8JNO7H3b7XavCmuH/0ejUc3RXRKEDuCbsN1u\n", "tV6vU7vH8/NzLUfX7/eT8MU2FJ+/84f/ffVV2oW1/tREWZbpOf70xrlB6AC+CebIrIF3sVikM6rm\n", "6LzQRXeXOzJmS7D9Umyfr7sWR0eODgBaD44O4BvhJ5SsVqu9fJ25sdy1r8gag8EgHfq3e37Bjt2/\n", "NAgdwDfD99jZxq7ZbFYLXYuiSEJXFIX6/X4KZX3+brvdqiiKlH/zhYmiKK5G6C7/CQAATgyODuCb\n", "EsPY2Wymp6cnSbuw0xydXftQ1oexvhgh1XdNxDOylwKhA/jGxB67KFLSrm+uLMv02kJZSbVw1p4X\n", "K7DXELoidACQJp5Yj91kMtGfP38kKU0nsf44L3p2HMxe+2NeVuCI7u8SXF5qAQBODI4OAFK+zpqJ\n", "5/O5Xl5eJL06OptQ4t1dURTq9XrZpuB4rOySIHQAIGm/ODGdTiW9ThH2Z1jtuizLWh6u3++nZ8SJ\n", "xpfk8p8AAODE4OgAIJFbsjOZTGpTSe7u7tLMOZtQYlVY7wol7e2auFQxAqEDgIQ/NeEP/0+n0zQA\n", "4OnpKU0Rvru702g0qk0z8UKXG/d0CRA6ANgj10xsQjcej3V/fy9pNy59Op2m4kSv16u5Nj/R+JJc\n", "/hMAAJwYHB0AZIn5utlsJkl6eXlJ7u75+VkPDw8pZ+crsNvtNrWYSPmF2ecCoQOALDFfN5/PJe2K\n", "E9ZjN51ONZ1O0z1fmJC0N7DzUhC6AkDrwdEBwEHsHKy1m8xmM00mE0m7MNY7utFoVNstEffIXgqE\n", "DgAOEo+HWbuJtB+6rlar2oawpqXY5wahA4A38e0my+UyCdt0OtVsNktTT5bLZZpbJ9VHq18ScnQA\n", "0HouL7UAcPV4R+d3w85mM81ms1roau+jvQQAbo7cOdj5fK75fJ6Eb7Va1RZVX4vQEboCQOvB0QHA\n", "u8gd+LfChDm8nKOzkxKXPPOK0AHAuzChs746aSd0i8WiFrr6wZu2N8JeXwqEDgA+hBe61Wql5XKZ\n", "HN16vU73bOm1Cd0lHR05OgBoPTg6APgQcVZddHRxwrB3dP542DlB6ADgw8RWE8vRRaHz7SWErgAA\n", "JwRHBwAfwoeum81Gq9VKq9VKUr3qKu2HrpcCoQOAT2M9dSZ0udDVhM4vuiZHBwBXT2wePiR0Ns3E\n", "cnWXgBwdALQeHB0AfBpzdE1HwHyOzoeu5wahA4APE4+D2dnXQzm6fr9/MaEjdAWA1oOjA4BPk3N0\n", "cXrJNTg6hA4AvoQf2+RzdHHCMEIHADdJ3BAWixF+OU6/379Y0zA5OgBoPTg6APgS2+22MXSNjo7Q\n", "FQBujhi6+mJEVVV7OToLXTudzlmPgRG6AkDrwdEBwJfwo9XX63Vydxa65hzduUHoAODL+OXWTTm6\n", "oigudrAfoQOALxGX5dgkk6qqGh0dOToAgCODowOAL+EnDsfQVVLN0RG6AsDN4oUuhq4Wrvoc3bn7\n", "6QhdAaD14OgA4MtYmOpDV/vqQ1erwJ7b0SF0APAlclvBpNdw1kTN5+gQOgC4Oa7d0ZGjA4DWg6MD\n", "gC9jjs6HrpvNJg3flOqO7txHwRA6APgyXuj89BJJWaHrdDpnPR1B6AoArQdHBwBHY7PZpB2vFrpa\n", "4aHX66koCkmErgBwg1gI6odwkqMDgFYSpw37HFyv10tC1+v1yNEBABwTHB0AHI3o6GxvhFRfZn3u\n", "KSYIHQB8mUM5OitGFEWRihEWup4LQlcAaD04OgA4GnHHqzUNS7vQ9VKODqEDgKPhhW6z2aThm9JO\n", "3PwBf4QOAG6SuCjHOzrfMEyODgDgyODoAOBoxNDV3J1Uz9Gde5k1QgcAR+NQ6OqXWVuOzsLXU5+Q\n", "IHQFgNaDowOAo2KOzsaq+/2u3tERugLATdK0zFra5eisvWQwGNQqr6cOXRE6ADgqPkfnHV2n06n1\n", "0Z3T0ZGjA4DWg6MDgKMSQ1e/O8JydEVRnLVpGKEDgKMRc3TWUyftt5ec8xgYoSsAtB4cHQAcFXN0\n", "VozwoasVIwhdAeCmsSqrha45oTt36IrQAcBRiTm6OJNO2jk632Jy6kU55OgAoPXg6ADgqDSFrpJq\n", "oWtRFGdrGkboAOCoHBK6uMya0BUA4Ejg6ADgJKzX69RiYsTQ9Vz7XRE6ADgqh0JXw0JXE7pTt5kg\n", "dABwVEzoNpvNQUd3TqEjRwcArQdHBwAnwRydHezfbrfJufX7/TR8UyJ0BYAbpaqqmtBVVZXaSWzH\n", "q00z6Xa7J502TOgKAK0HRwcAR8UXI/zeCB+6RkdH6AoAN4mFriZ0VVWlnJxtBPOh6ylB6ADgJORy\n", "dCZs5ugGg0F6TY4OAOAL4OgA4CRst1ut12stl0tJ2jvcb8fAJJ182jBCBwAnoaoqLZfLWo7OsBzd\n", "uYSO0BUAWg+ODgBOgoWuq9VK0q7dxAoN3W631l5y6v0RCB0AnITtdpt66STVDvd3Oh31er1UdT31\n", "EE6EDgBOwluOzufovNCdAnJ0ANB6cHQAcDKaHJ2Frubo/KIcQlcAuBksR2dC56cNm9D5YsQpRzYR\n", "ugJA68HRAcDJ2Gw26WTEer2uFSN86HpqR4fQAcDJqKoqtZf4kU29Xq8mdGVZ1oTu2Hk6hA4ATkLM\n", "0S2Xy73zriZucdrwsSFHBwCtB0cHACfDZtJJu3xddHQ+R2fX5OgA4KbYbrepGOGnDW+3273Q1U8f\n", "PnaOjtAVAFoPjg4AToavuuZ2vFoBYjAYZMeqHwuEDgBOhh3slw4LXVEUJx3CidABwMnwQpebNuxz\n", "dHGSyTGX5ZCjA4DWg6MDgJMRQ1drNbHVh9Yc7FcfnmI2HUIHACfFwtW4zFpSraXEhM5GNhG6AgB8\n", "ABwdAJwMO+8q1UPX9Xq9F7r6IZzHrrwidABwUkzolstlEjo/rknaD117vV66V1XVl8NXhA4ATsZ2\n", "u035uOjopNdzrd7RDQaDo68/JEcHAK0HRwcAJ8U7Ojvgb4tyzLXFRTnHXpaD0AHASWkKXauqqgmd\n", "Pw527NHqhK4A0HpwdABwUizs9DteV6tVOh0h7aqvdl2WpQaDwd4OCf+sj4LQAcBJ8UK3WCzS9Waz\n", "SWLmpw1bjs6LoLWofBaEDgBOSpOj8+JlC62l13OvXui+6ujI0QFA68HRAcBJMRcWVx9ai4lUz9HZ\n", "tOFjDuJE6ADgLGw2m9qiHGsxkfKha07oPttTR+gKAK0HRwcAZ8GHruborCDhG4TN0eUGcX72gD9C\n", "BwAnxYSpqqoUui6XS63X63TP9rxKO2GLQmci+Nk2E4QOAM5CXJTjl+V419bv92uj1f1ya2se/qir\n", "I0cHAK0HRwcAZ6GqqpSjWywWtT2vg8GgdsDfh67e0XW73U/l6RA6ADgLMXSNy3LiJJOyLCXtzr5a\n", "q4kdIfsohK4A0HpwdABwNvz+CL9DoqqqVIywUxI+dPXNw91ut1atfQ8IHQCcBb8RzITOQlkvdDZt\n", "2IRuOBzWWk1sxJM98z0gdABwNvzqQytISLvJJr6FxI9W98fBrA3lo0fCyNEBQOvB0QHAWYirD5fL\n", "Zaqi+kkmnU4nNQ1Lu6qrVWAHg4EWi0WtWvseEDoAOBsmZjF0Xa1WScw6nc7e2Ca7Z5OH7eesr84/\n", "OwehKwC0HhwdAJyNuD/CDvmv1+tUgbWdrr4YYVVXK0z4/bDvAaEDgLPhhc7n6GLLSLfbTVVYf0pi\n", "OBxqOp2msNYP7zwEQgcAZ8OPVfdCt1gskqMzETOh8zk6W4Vobs8L5CHBI0cHAK0HRwcAZ8cmmcQd\n", "Enav2+3uDeKUdo5uOBxqPp+ne5anO1R1RegA4Gz4acOr1SoJli9M+DYTSbWeOgtj7T1+eCftJQDw\n", "rcHRAcDZsdl05uJi87BfcehbTczNmaPzRYxDrSYIHQCcHRM6q7rO5/N0PRqNtNlsamObfAV2MBho\n", "OBxKQugA4IqxkU3e0fmeOj9a3R8H6/f7tWLEcDisTUBpghwdALQeHB0AnB2bZGJuzIeui8VCZVmm\n", "0FWqNw8XRZFC19VqlZ5B6AoAV0fcCmbhqE0f9hOHfRhblmWtcEHoCgAgHB0AXAi//tA7Oms1sdMQ\n", "PoS15mFrL/EnKghdAeDqiMtyTOjm87mWy2XqnfNCFzeElWWJ0AHA9RJHq8eeOnNt6/U6tZfExTll\n", "WTJhGABAwtEBwAUxNxZPSczn8+TobMWh9OrorN2kLMt3LbNG6ADgYvhBnFHorFduMBjUpg13Op0U\n", "uvpnWAtKDkJXAGg9ODoAuDibzaZ2SsKflCjLMhUjbCCnhbLe2fnqbAShA4CL4fNr1iZirSbWblKW\n", "ZRK0Xq+nbrebwlR7LdVFL4LQAcDFqapqr6fOhG40GiW3ZwusLWfnRY/2EgD41uDoAOAqiM3D5uhm\n", "s1lqNfGrDiXVWk0OVV0ROgC4OP6UhA3k9NNMfGGiKIp0BKzT6dSGcjZB6AoArQdHBwBXgW8e9nPm\n", "/CrE5XKp4XCY3F9Tq0mkc6hSAQDQBghdAaD1IHQA0HoQOgBoPQgdALQehA4AWg9CBwCtB6EDgNaD\n", "0AFA60HoAKD1IHQA0HoQOgBoPQgdALQehA4AWg9CBwCtB6EDgNaD0AFA60HoAKD1IHQA0HoQOgBo\n", "PQgdALSe/wPDt4lK0UOnrQAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Pi = np.dot(np.dot(np.diag(a),xi),np.diag(b))\n", "plt.figure(figsize=(5,5))\n", "imageplot(np.log(Pi+1e-5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can compute an approximation of the transport plan\n", "between the two measure by computing the so-called barycentric projection map\n", "$$ t_i \\in [0,1] \\longmapsto s_j \\eqdef \\frac{\\sum_{j} \\pi_{i,j} t_j }{ \\sum_{j} \\pi_{i,j} }\n", " = \\frac{ [a \\odot \\xi(b \\odot t)]_j }{ p_i }. $$\n", "where $\\odot$ and $\\frac{\\cdot}{\\cdot}$ are the enry-wise multiplication and division.\n", "\n", "\n", "This computation can thus be done using only multiplication with the\n", "kernel $\\xi$." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "s = np.dot(xi,b*t)*a/p" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the transport map, super-imposed over the coupling." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAUMAAAE4CAYAAADB1pEFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJztnXmQnGd95z9v99v3MTOakTS2ZFuSjQ9sAwZH2GSzazA2\n", "EOycIjHnkmJTlcSQkIpTIRuSbGX/CVAOBHZhc2wWUmAKcOKwTkIgi20CMWBjgzG+kGVLGmkkzdUz\n", "fXe/fewf08+rp9/p0Tkz3TPz/VR1zdv99vHYZX/rd/+cdruNEEJsdkL9PoAQQgwCEkMhhEBiKIQQ\n", "gMRQCCEAiaEQQgASQyGEACSGQggBSAyFEAKQGAohBCAxFEIIQGIohBAAuP340fe///3tRqPBO776\n", "VW54/nkAHr74Yj583XUAVCoVSqUSpVIJgGKxSKVS8e/VajU8zwOg2Wxi+qvb7TbqtRZiU/Mz7Xb7\n", "/nP5YF8sQyNmX73mGv+1GyYmuLBWw3VdIpEI0WiUeDxOPB4nmUz61/F4nGg0SiQSIRKJEA6HcRyn\n", "6yGEEGdLX93kidFRfnTBBYsHabf55aef7udxhBCbmL64ycblBfjytddyzbFjAPynw4d5cPdunhgZ\n", "IRaLdbm/rVbLv17OFW42m13P5TILIc6UvliGJu5Xr9d5anSU7150kX/v17/3PTKtFtFolFgsRiwW\n", "811l80gkEj1dZtd1CYVCcpmFEGdNXyzDUqmE67q+eP3Ny1/O1cePk/Y8tpdKvPd73+NDe/fSjkaB\n", "3haeETpb9ILiZ6zJ5b5DCCEMA1Fak0sk+Kvrr/ef752c5FeefBIkYEKINaIvlmGxWCQajRKNRnHd\n", "xSN8c3ycy1/yEt68fz8Atx04QD4a5d4rrwS6rb7gddBKtMtujHXYarVkHQohlqVvYhiLxWg0GsRi\n", "MQAikQj/5+qrGSmVeM3kJABve+YZatEo9+/Z4382GA8Mh8OEQosGbigU8h8AnufRaDT8z9rJFwmj\n", "EMJmINxkQ8tx+Nj11/PEtm3+a7/yxBO87amn5DILIVaVvlmGjUajpxvrAX+6dy9//O1vc+XsLAD7\n", "fvxjRqpV/td11xGKxbosQ5M9NtfhcJhwOLzknuM4Xb8Hsg6FECfpWza52Wz6D+iO77VjMf7bjTfy\n", "u9/7Hq86fhyAmw8fZrRW48/37mU+FvNdYdtNNhlqI4a2MNbrdTzP6/o9tfEJIQxOP0RgdHS0bWoI\n", "k8kkAIlEgkQiAUA8Hl+sLwyH+fUf/ICbDx/2PzuVSnH3jTeyP5MBoNFoUK/XgcU2v2q1SrVaBRbr\n", "Gc11tVr1BdF8zgijsUoVTxRi3bO+epPPlGYoxP+47jq+dNVV/mvbSiX++wMP8NpDh/p4MiHERqMv\n", "bnKtVqPVanWVu7RaLd9SM1aacZvvueIKXhwZ4b2PPEKy0SDaavG+xx/nFbOz/PXLX06+Y1GGQiHf\n", "VQb8oQ+wmK2uVqvUajVg0W02mWZjJdpnMchKFGJz0Bcx9DzPF8Pl6gCDIvTtbds4dNNNfOCRR7go\n", "nwfgpw4d4qVTU/zPvXt5avt2wuEwnuf5Ymim3wB+XaNxm2u1mi+MnuedNp4oURRiYzPQbnKQyXSa\n", "/3rzzXxj1y7/tdFKhT/6xjd41/e/T8yqKRRCiLOhLwkU13XbpgzGuLFmIAMsJlBSqZSfUDGDGcz7\n", "IpEINx47xn955BEyneQJwEwyyWde8Qr+fds2cJxTJlfs63q9viS5YlzooDsvK1GIgeacEyh9EcNQ\n", "KNR2HMevC4Rul9aeUgP4k2rMPSOIw5UKv/7441zX6VgxPDE+zmeuv56jyWSXwNXrdd81DoqhyTab\n", "5+baCKPtztvjxOy/Qoi+s77E0HGcdq+2OmMlminXRgCDwmgEESAaifC6iQne+oMfMNQROgAvFOKr\n", "V13F/73qKsqxGM1m048NAl3CaK6DZTjmnv25YElO0Go0SCCF6Asbs7TmjHAc/m3PHu667Tb+9fLL\n", "aXXENdJqcdtTT/HRL3+Zn/nRj4h3xEwIIXrRN8vQugboGrBghrWaOGEikVhiGZrnZsCr+dylCwv8\n", "50cf5bLp6a7fLEaj/OuVV/KVyy6jaFmKcNItti1F24U2g2jN82BsMWgpwtLYoixFIdaE9ecm93it\n", "y2W23WYz1RpOxg/tzhVzz0zHjoTD7D10iH0//CHjnTIcQ9V1efiyy/j6lVcyYXWxNBoNX+Ts7XvV\n", "ahXP87pijUERNcmWYHnOcuKoWKMQq8Y5i2Ff6gxXm7bj8N1du/jBnj385IEDvPmHP2RboQBAvNHg\n", "dc8+y+uefZanxsd54PLLeXR8HBXlCLG5GRjLsPO6/9fONLuu6ydMYrFYl2Vou8yJRMLfm2I+F41G\n", "CbVavPrwYX76ySe5aG5uye+WolG+s2cP39yzhxdHR/Es19fzvK7sctCdtl1qu5THzFI0VqM9lKJX\n", "L7RcaiFWhPXvJvd4T9fQVrurxK5JtAc8mGu7JtHuQHHDYa6enuZ1Tz3FKw4fJtTjn306m+Xx3bt5\n", "5JJLODQ2RrPTJhgs0YGTQml3sgSF0nwumJFeLtZ4qqEREkkhTsvGE8PO+/y/djzRWHxAlyUYFMNe\n", "wmg+t71a5T8eOMBr9u9nrFjs+fszmQxP7trFUxddxHMXXIDnul0WXjDWaMTRvu5Vu2hE0441Bvuk\n", "T5WUkVAKsSyKGZ4ts+k097/qVfzjK1/JlVNT3PjjH/OKF18kYXW0jBUKvPbJJ3ntk09SD4d5bscO\n", "ntyxg6fGxzk2NNTH0wshVpqBtgwDn/H/BuOJwWJtu63P7lzpKtbu7Fs2167rEnccrjpyhFe++CIv\n", "f/FFkpYwBsknEjx/4YX8+MILeXZ8nGPDw75LDfgWo93JYluQdsbafl8wQ23HHU9lNQbda5DlKDYl\n", "G9NNPsXne9YnmvFddpzQFkZbKG33OuhCRyIRYo7D5ceO8bLJSa6ZmGA8lzvlmYrxOIfHxzk0Ps7B\n", "8XEObttGIRz2RciOEZ7KvTYxSbt8J/i+M3Gve61U6JWwUZmP2GDITV5pmuEwz+zcyf5du/iHcJht\n", "xSJXHTzIFUeOcNmRIySt1j+AdLXKSw8e5KUHD/qvHR8e5uC2bRweG+PQyAgHh4aodARYCDFYrEvL\n", "MPBd/nVwVWhwuKspyobuzpWgC21noU03jPke13WJhMNcMDvLFceO8ZKjR7n06FFSnfKa0zGXzXJ0\n", "bIwjo6NMjI0xuWULU6kUDcuCtF1j2/ozGeleVqOxGG0rMvgdttUYdLWXKw5fbkqPLEkxoGwuN/k0\n", "370kvggnN+ctN/jVFsBgbDFYohOMNbrhMNsWFrh0dpY9J05wyYkT7JiZIWxNzD4VXjjMzJYtTG3Z\n", "wonRUY4ND3NiyxamhofxQqEuEevlbsNJwetVytNLRG33upe7bX7vdJntXlPBg/9NSTjFGiIxPMVv\n", "dV0bcXQcp2uLnr0uoJdQ2q2BdllPMNZo3pd0HPbMz7Nnbo6ds7NcNDfHBXNzuB1hORNajsPc8DAz\n", "W7YwNzzM7MgIs8PDTA8NkRsaohEO+2JkRMuewxgUzaAA2tfLWZT2c1tEewmzfZblppj3mmgu8RQr\n", "iGKGg4bnuhwYH+fQzp1Ax70Gtudy7JyZYefMDDump9k2O0u2VOr5HaF2m7FcjrEeyZsWMJ/NMjs8\n", "zMzwMDPZLDPpNNPJJHOZDAuKTQpxVmx4y/AUZ+i6DrrU9l7moNVou8m2ZbgkI90j9miu7XhmutFg\n", "Rz7PeC7HBbkc47kc2+bmGFlYOOcZa144zEI2y/zQEPPZLLlslrlMZlFA02nmkkma4bBv4dlWXbCs\n", "ZzmLsl6v+5Zhr3KgXpPDe2W9bTc8uJhrufhlr7IhWZQCuckrSy+h7FXKY6br9Kp5NOLXSwyNSNqi\n", "Gvyc67pEGw0uLJW4oFRiaz7P9kKBrfk8YwsLDBcK5z2MsphKUchkKGQy5K3HQiZDIZ0ml0xSjsdp\n", "df4bsct1gvHEXrHM5WoleyV3et3rJaLL9XrbZ7Njmb1E9FT1lxLUdY/c5I1I3XU5MjrK8e3bgUWx\n", "9QW40WBrscjWQoGxXI7R+XlG8nmG83mGFxZInEF2O10qkS6VuOD48WXf47ku+XSahXSahVSKQjJJ\n", "Ppkkn0gwH4uxEI+TTyTIRSKceTRUiMFDluE50MtyDF4bC9JO0tgWZNCKNG64sRJ7WY3Be/Z3mO80\n", "35NutRgtldhSKLClWGS0WGRLoeCLZaZYXPEx5+VEglIqtWhxdoSzaAQ0kaCUTJKPRCjEYpRd11/a\n", "FcyWB5M0cGqr0bwe3FtjXxtLsVe2fLn9NsstAjtdb/hy/0/J6lwTZBmuJWfa5hYUTft6ucy2EdBg\n", "phtOit9yYmhnvW2BjaTTREZGuif/hEJkKxXGajVGq1W2VCoMlUqMlMsMlUoMFYsMlUrET9GSGCRZ\n", "qZCsVNg6M3Pa9zZDIaqJBJVkknIySSWR8P+W4nEqySSleJxSIkE5kaAYi1GMxTDLG4Iue9BNt0ew\n", "2VOHel0v5+oHs/O2oLbbbf+99rV5X9CFX+7embrzYvWRGK4i59IbbFuZvV4LhUI945dBETUutbkO\n", "CmfQooxGo9ARTfteBtjmeYxUq2yt1Rip1xmqVhmu1RiqVhmqVsmUy2Sq1Z4j0ZYj3GqRKpVILZNJ\n", "X45aLEYlmex6VJPJRas0kaDSEVhbUKuRSM+456nEqdekcvM+81470WMLY6+yJnNtTy+yl5CZUXBm\n", "BJzdu26EuVepklg5JIbilFQjESYTCSaz2S43POiWu45D1vPIlMsMVSoMVatkKxXS5TKZUolsuUyy\n", "XCZZqZCoVIidhcVpE6vViNVqDJ+mV9ymEQotWqCJBGVjbcbjlOJxip2YZz6VYj6RYD6RoKyypE2J\n", "xHDAONcyEduSNM+DsczlOnN6ZcjhpHUZFED72o51mutwOLz4PJmEZBJ3fLzL2gyHw8Qdh1StxlCj\n", "QdbzSNdqZOr1xUetRrJaJV2tkqpWSVariy74WVqfBrfVIlMskllmbmWQRjhMKZOhmMks/s1mKaXT\n", "lLJZ/1HOZillMrQ7lrr97z/o7gZdb3vXjrEEK5UKpVKJcrkMQKlUotBZVVEsFrvu2atsTTxU5UXn\n", "j8Rwg3A+JSK9hNS+7pUgMoK6XG1mMO4ZdNmDcVD7XiSbhR6WaCQcJttuk6nXGWo2GW40SNdqixap\n", "55Gp10lXq6RrNdIdQU1Vq8QaZ7fhxm02GZqfZ2h+/pTva0QizF9wAQs7dpC/6CLmd+ygcPHFVLZv\n", "x+n88wZFstVqdSWI7MVj1Wq1pxjm83kWFhaY75xnfn7ev1cqlahUKl1xUNu1F2eOxFCsG9qOQykS\n", "oRSNMhMQyuWSTuFwmEizSdbzSFYqJ4WyUlm0PCsVMqUS6WKRTKFAulgkFphItByu5zF2+DBjhw/D\n", "t7/tv96Ixcjv2MH8JZdw4uUv58TLXoaXTq/wvw2x0qi0RqwIyyV8er12pkmg01mUQevSzpYHr3t1\n", "EC2XWIp6HsPVKiOdR6ZYZKhcJlsqkeoIZjqfJ3GGbncrFGLhqquY3buX6RtvpLR79+LrVqLFzKo0\n", "CRXjNsOim2xbhrlcjrnOYrNcLsf8/DzFzlkqlYrvQptunk1mIaoDRawvgq65/dqp3HJbRIPlSLY1\n", "GBRDW/DsrqDl2inNgA575Jt9HY/HGW42GT1+nPHZWbZOTTE8OcnI5CTxwK7uIIWrr+b4L/wCczff\n", "TKvze6bmMeg2A5TLZfL5vO8az8/P+2I4OzvL3Nwcs7Oz/j0jjNVqtatcaJOIosRQbHxOV7e5nLUZ\n", "XBMRtC6NyJl+cjg5Cd1MRk8mk/4KiWQyueR5KpXyr4c9j+3T02x9+mkufOIJhp9/HqfH/2eNoSGm\n", "3/52pt/2Nlqp1JJki0mumFiiETnbSpybm2Nubo6pqSngpDjCYqyxVCp1WYr2yLUNioquhRgUatks\n", "09u3M33NNbzwrneRrlQYe+wxtj/6KGPf+hahjvXnLixwwSc/ydZ77uHEe97D9C/9EoRWui9InCmy\n", "DMWG4XSWI9DlaofD4a6d3MHlYvbUIWMNAqRSKf8BkE6nSXcSJObathTN5xKJBJlKhR1f+xrb7ruP\n", "+LFjXeev7dnD8T/8Q8qvfnXXIApTkG0yzcVikXzHFTcu80yn62d6eprp6WkAZmZmujLP9nraDVy4\n", "LTdZiFNxKqHsVR7Ua7lY0C02ApjJZMhkMgBks1kymQzZbBZYFEdzL5VKnRTHRoMdDz3Ezr/+a6KT\n", "k11nze/bx8wHP0irI6jNZtMXRFhMkhiXOZ/Pd8UQp6enfWGcmppienrajyfm83kqlQqwmLDZoIJ4\n", "zmIom1yIfuC6zN52G899+ctM3nUXzY7wAWTvvZeLbr+d+Pe/38cDbj4UMxSbglP1iZukgu1Oe55H\n", "KBTyM7qu6/qlLrFYjEQi4bu/6XSaoaEhAL9TxHyuV4+x/ftOIsHkL/8y+Te9iR0f+QiZf/kXACIT\n", "E+y44w7y73sfC+97X9cys2CWO7grPLgO186kLywsAIsZans47wa0EM8aiaHY9PRqZXMcp2cdICwK\n", "XKVS8WN45XK5q3Mk2Dpn3FszaqzXJkJnaIiJu+9m9NZbGfujPyJcLOK0Wgz9+Z8T/853mP/Lv8Tb\n", "sgVYWgLUKwturntNWIfFkMAmzDSfEomhED0IFisbcYSTbXR2j7GJxRlhtMXQnkxjz2QMWokAc298\n", "I/lrr2XnH/wBiUceASD23e8y9qY3Ufj0p2lcdx2tVqurJ9y2GoPiF1xFYddihkIhP/ZYs7puNqso\n", "KmYoxIDR2LGD45/7HAu/+7u0TeZ7cpKh228n9vnP9/l0GxdZhkKcAcFJNMFhr/ZOantOYXBmYXBx\n", "lj1LEegqAZq/806qL30pW9//fkILCzi1Gpnf/E3cQ4eo/P7v+5PCl5tVae/TMfeClqHJnhcKBf+c\n", "9nk2ExJDIc6S4FTq4DBXO75ol8QYMbQTKr3ih3AymVN7zWto3X8/W3/1V3Gfew6AxN134x47RvUT\n", "nyAci512zFqv7hvTlWNPWzeYesTNJohyk4UYcBq7dpH7ylfwXv96/7XIPfeQeMtboFNQLc4fWYZC\n", "nCPLLYsKWop2FjpoGZ5JR4jjODiJBAt/+7ek77qL+D33AOA+8ACZ226jcu+9uFu3Lr4WsASDU4CC\n", "E4J6debk83l/yIM522ZAYijEChBcfB9cVgUnxc+IYTCzvNxgVn+BWDLJ3Ic/zPBFF5H80IcACD3x\n", "BIlbbqH+la/QvuSSMx6JZguj+Y0gJoa4WVxmiaEQK0ivLXdBYQyuPzX3TjW+v6u/+v3vhx07SPz2\n", "b+M0m4QOHiR2yy00vvpVQpdeukT8bHHsNSYteM/+ZwmeZSOLomKGQqxD6u98J6XPfpZ2p77QOXIE\n", "9+abcZ5+us8nW7/IMhRiFQi6zea15daImtftdaDB7zL4mebXvha+8AVSb30rTqWCc/w4kVtvxfmn\n", "f4LrrvOtPTtjHLQEe2WTg9YtsCnKbiSGQqwiQVEJluTYLrQthnZ3it+y12sC+I03ErrvPhL79uEU\n", "izgzM7hveAPtr32N0CtfuawY9lrNEBTwXgmiWq22YVcJyE0WYp3TfM1r8P75n2kPDwPgzM/jvOEN\n", "8MQTfT7Z+kKWoRBrRC+Ly3aL7YGuQff6lGU3joNz3XU0/vEfSdx+O04uh5PLEXrDG4g8+CDO5Zf7\n", "77U/Z2OfJWiR2hasOctGnHYjMRRiDbFFx/O8JcLYSyhPJ4b+3yuugC9/eVEQFxZwZmZwbrmFyEMP\n", "weWXn1YMl4ttBmOZ7Xbb76rZSANiJYZCrDG2xWVKa4wY2THDMxFDgy9uV10Ff//3JH72Z3GKRTh+\n", "HOfmm+Eb38Dds2fJOU5VOB6MZ9rnsgXd3FvvKGYoxAajtXcvlb/7O9qd4bMcPQqvex0cOtTfgw04\n", "sgyF6BO2tddoNJZYZ4ZesUYbO0tsnvOqV+F88YvE9+3DqVbh8GGcW2/F/eY3Ydu2nmcJDp6wp/IE\n", "y4HsmKH9ufWMxFCIPhIUOBOL6yV+Zxqb84XxhhtwvvAFYm95C069Dvv347z5zfDgg7jp9LJusnGD\n", "e9VDmqG2dhvh2bjzg4zcZCE2MK3Xv57W5z5H2/QhP/YY/PzPgzXZWiwiy1CIAcF2M01xM/TuCLE5\n", "rTX20z9N+OMfJ/be9y4+//rXcd71LtzPfY52ZyVAr4SJnTSxh9fak3fsBIopuVmv1qHEUIgBwnY5\n", "zeiv4D1z3/57Wu64A6amiP3Jnyw+/9KXcMbGcD/+cXAcYrGY/13G9Q0OrIWTbrI9lmy5YRPrDYmh\n", "EAOIXdhshOdU607PiPe9D2d6muinPgWA86lP4YyPwwc/SDgc9hdHJRIJWq1Wz+k6tVrNf8DS7X+9\n", "2gjXC4oZCrFZcBzqf/qneG95i/9S6I//GDrDYjc7sgyFGFBst7Ver5+3pdVut2mnUlQ/9jGGZ2Zw\n", "H3wQAOc978G5+GLCr341sLh+dDk32cQLzRSbSqXir0mtVqtLYojrCYmhEAOO7TLD4qL688X5q79i\n", "5M1vJvTcczj1OuF9+2h/61uwezeu6xKNRonH4wCk02nfZTYJFCOG1WrVP0+5XPYFEbrbDdcDcpOF\n", "2IS0h4aofOlLtMfGAHCmp3F/7udgYaHPJ+sfsgyFWAecq3V4qlH+7fFx+PznSd52G06thvPMM4Tv\n", "uIPmffd1JVTi8TipVAo4udTKdpPNWUqlEsVi0XebTVfNekFiKMQ6wY4hGs7WZQ6KU/tlL6Px0Y8y\n", "9Bu/AUDo61/H/cAHaH3kI/6O5Vgs5rvJ6XR6iRgWi0VgcRF9Pp+n0FlfWqvV1lWLnsRQiHXG2ViJ\n", "vbbe2d/TbrcpvfGNhH/nd0jffTcA7ic/SeP66wnt27f43HWJRCLAYtlNOp32y2mCYjg/P08ulwOg\n", "WCz6IroeUMxQCEHprruo3367/zz23vcS2mTLpWQZCrEOCbrMvazD4DSb037f3Xcz+vTTuAcO4JTL\n", "xN/xDkoPPICTTvuWYSwWI5FI+DHEbDbLcGfdQKFQIJfLMT09DcDc3FzPgvFBRWIoxDrmbF3m5cSx\n", "3W7TTqepfeIT7PzFXyRUqRB+/nnid95J6dOf9ncxu65LLBYj2ZmVmEqlGBoaAhbFcGRkxBfHEydO\n", "+OdZD2IoN1kI4eNdfjnzndghQPT++4l+/vN9PNHaIctQiHVO0Dosl8sA/prQXmtBg8+7+p5vuYXo\n", "O95B+rOfBSDxe79Hde9eWrt2EQ6HiUQixDrL65PJJOl0GoBMJsPw8LBvKSYSCX9N6XrIKksMhdgA\n", "BFv3bHotgjqdy3z8rru45OGHibzwAqFSicydd5K77z4IhZbUIBqXOZPJkM1myWazwGIZjnGv10NW\n", "WWIoxAai17QbWwCNOIVCoSVWY5c4ZrNMfuhDXPzWt+I0GkQffZT4xz9O6bd+q+t77La9VCpFJpPx\n", "LcN0Ou3XKtbWwTBZxQyFED2pvexlzN55p/88+7GPET5woI8nWl1kGQqxwQi6zCajG3SXT/XcfE/p\n", "7W8n9cADJJ58EqdeZ+gDH2Dqnnv894bDYT9+aNr2MpkMsGgpmpIcx3EGPqMsMRRig2L2Hxt3uVQq\n", "dYmYSbCY5+Y6KIwHP/ABrnznO3FaLeIPP0z8vvvwOgXa4XDYd4Xj8XhXDWImk/Fji+sBuclCiFNS\n", "ufJK5t75Tv/5lg9/eHH96AZDlqEQG5jgkilj8ZnkibHqTELFvmdbhxPveQ/Z++8nMjeHe+wY2b/5\n", "G3K/9msAfjIlEol0ZZeTyaTvQstNFkL0naAgwskaRFsMjagZl9mIIwDZLAff/W5e8md/BsDIX/wF\n", "c/v20R4a6nK9o9EoiUQCWKwztMVw0JEYCrFJaLfbfr1frVajUCh0xQyNMLqu2xVDNML4/E03sePe\n", "e0kePky4VGLoM59hyso2m++wC7LNdSgU6ioMH0QUMxRCnBHtcJjD7363/3z0nnsIdWYXbgRkGQqx\n", "SbBjdo1Gw7cOodtNNpZhsEAb4MWf+Aku3rmT5JEjuIUCw1/8Iife9S4APwZpymni8bjcZCHEYGIE\n", "sdVq4XleV0LFuMmRSKRL1OzrUCjEgX37uPZjHwNg9EtfYvKOOyAcpt1udyVlotGoX1rTFX8cUAb/\n", "hEKIgeLYTTfhdfqP45OTDD38cJ9PtDLIMhRiE2IKss1az0ql0uUmRyIR3xo0liIsJknCIyMcvfVW\n", "dt17LwBj//APzN54I81ms6tvORKJrCvLUGIoxCbFCCIs7jg2W+3y+TzRaNQXQ/vaCOP+m27yxXD4\n", "O9+hOTdHq9OGZ4TP7F+Gk7WIg4zEUIhNTK8aRBM/NEIWi8X8RIgRRnfLFmZ37WL04EFCnsfwQw8x\n", "9aY30Wq1/DhkMNY46Az+CYUQA8mhG27wr8cfeqh/B1khJIZCCH8OYrPZpFarUSqVmJ+f91d/msf8\n", "/Dz5fJ5iscjT117rf37L44/D3FyXpWksTNd1u2YnDipyk4UQXfHDRqNBtVr19yHHYjF/gGs8Hvfr\n", "BwuRCFO7d7PtxRcJtVoMPfYYx37yJ/3vDLb4DTqyDIUQ58zRq6/2r8e+//0+nuT8kWUohACWFmSb\n", "xVL2aP9EIuE/AA7s2cN1nc+PPf44zUbDtzCDawYGHYmhEKILEz+0h8KazHIikSCZTPpjug5s3Uo9\n", "FiNaq5GaniY2MUFpdNT/LlsMB32M1+DLtRBiTTHxw0aj4fcwl8tlyuUyhUKBfD7vPxbKZY5ceqn/\n", "2eGnn6bVavnWoelrXg+W4eCfUAgx0Bzbtcu/Ht2/v38HOU/kJgshlrBcd0qhUCCVSnUtjj+0fTsm\n", "hzy6f3/X3EJ7EMSgIzEUQvSk12L6SqVCsVj0R38VCgUObNlCi0U3c/jIEZxymUYsRrvd7hoeO+h1\n", "hoMv10KIgaYWjzMzNgZAqNVi5OjRPp/o3JAYCiF60m63lyRTqtUqpVKJYrFIsVj0EytHt2zxPzc0\n", "MeG7yiZ5MuhWIUgMhRCnwW7Vq9frVCoVSqWSL4rlcpnDQ0P++4ePHKHZbPrDXk294aALomKGQohT\n", "EmzVM6UuxqetAAAQh0lEQVQ2gG8ZvtipOwQYPnqURqPRFTMMrh4dRGQZCiHOmyPDw/716ORkH09y\n", "7sgyFEKcFrtVr16vU61WgUXLsFKpMOG61F2XaKNBqlAgks+D5RqbSdmDjCxDIcRpCSZTarUatVqN\n", "SqWyGEOsVpmy4oaZqSnfTTbTa+QmCyE2BTOdsf8AQ3NzfTzJuTH4tqsQYmAIDnGoVqu+y3wilfLf\n", "l52eBlhXRdcSQyHEGWO7ykBX/PBYZ6wXwNDMDHBSDNfDsAaJoRDijDGxQ1NUXa/X/UVSRzszDwGG\n", "ZmeB7k15g24ZDrZUCyHWDbabPJzL9fEk54YsQyHEWWFbhp7n+fHDo67rD2zILiwQajS6FtMPups8\n", "2KcTQgwcJm5o1gPU63Xq9TrlZpN8pxPFabdJFwqEw2HC4XDXhrxBdZclhkKIFWPBcpUz+XwfT3L2\n", "SAyFEGeNnUgxlmGtViNn9Sin8/muomu5yUKIDYXtJjebTTzP8x9zVkY5k88vcZMHGSVQhBDnjF1z\n", "6Hkes5YYGssQFhModuH1IG7JG2ypFkKsK2w3ObOw0MeTnD2yDIUQZ409xca2DGeyWf89GcsyjEQi\n", "fpnNoCIxFEKcM8HWvKlIxL+X7sQMYambPIjITRZCrBjBBAoDGBtcDomhEOKsMaU19n6URqNB3nGo\n", "dwa5RjyPpOcRCoVwXdfvTx5U61BiKIQ4Z4Ji2Gg2KdhJlEpFYiiE2ByYmsNGo4HneRSsUV7pctkv\n", "upYYCiE2FbZlmCqV+niSs0PZZCHEORNcI+p5HnnLMkyVyziO47vJg9yFIjEUQpwXpubQF8NYzL+X\n", "LpW6xHBQXWSQmyyEWGHsmGFSbrIQYjMQdJMbjQYLdgKlVOpKoBg32XGcgetPlhgKIc4LI2qmvGY+\n", "GvXvpYpFHMdZF5NrJIZCiBXBlNfkLDFMWjHDQe9PHlyZFkKsS/JWS16qWOzjSc4OWYZCiPPCdpM9\n", "zyMXCvmLoRKVCuFWa13EDGUZCiHOC9OjbNzkRrtNwSqvSZRKvhiaydeDiMRQCLHi2LWGyXXiKksM\n", "hRArgt2f3JVR7pTXmATKoM41lBgKIVaEdrtNo9Gg2WySsyzDVLHou8mD3ImiBIoQ4rywVwD4SRT3\n", "pLTY5TUmXjiIYijLUAix4thu8nqJGcoyFEKsCF1usrULJRlwk2EwLUOJoRBiRTBTrz3PY9Zqu0sW\n", "i13TroGBbMsbvBMJIdY984GWvPWALEMhxIpg70OZtQqre1mG9vj/QelEkRgKIVaMZrNJvV7nhCVw\n", "JpscDoeJdGKJg+gmSwyFECuC3ZKXb7fxwmEizSbRep1Yo6GYoRBiE+I4FK3pNeshbigxFEKsGP6w\n", "hkajezGUNazBFF8P2tpQuclCiBXDiCF0D2tIl8uE0mnfTR7EyTWyDIUQq0J+nbnJsgyFECuCnUAB\n", "WLCHNZRKRCIRP5s8iJNrJIZCiBXDtOQBzKfT/utJa4wXSAyFEBucLjG0+pPNGC8TKxzEMV6KGQoh\n", "VoUFxQyFEJsV05IHMGdljI1lKDdZCLEpsN3kOWvAayIQMxzEhfKDdRohxIYhH8gmMyADGZZDlqEQ\n", "YsWw3eRSq0U1GiVerxNuNknU637RtZ1AGZQdyhJDIcSKYsSw0WhQSiSI1+sAZKvVLjGUmyyE2LCY\n", "wmtTfF1IJv17mUrFL6+JRqMDtzZUYiiEWDWKgWENg4zcZCHEimLcZM/zuifXlMuEO10pg+gmSwyF\n", "ECtKq9UCFmOGBavwOl0u+zHDSCQycDuUB0uahRAbioLcZCHEZsQkUGDRMpxPpfx7KcsyHMQdyhJD\n", "IcSKYsTQ8zzy1spQM+0aBtNNlhgKIVYUU0DdaDTIWZNrkpYYDqJlqJihEGLVsLPJ6UKhjyc5PbIM\n", "hRArih0zzLkuTcch3G6TrFSItFo0XZdIJNK1NnQQWvJkGQohVpR2u+1Pr/GaTeat8pqRatXfkmfW\n", "AAxKveFgnEIIsWHJWa5ytljs40lOjcRQCLGi2JZho9FgzrIMh8tlQqGQn0AxnSiDkERRzFAIsSo0\n", "Gg08z2PWKq8ZKpe73GQYnB3KEkMhxIpil9Y0Gg1mLDHMdNxku7RmUCbXyE0WQqwqtpucHeDyGlmG\n", "QogVxViGzWYTz/OYsnahZDuF14NoGUoMhRCrghHDE1ZMMFso4DgOrusS7bjPgyKGcpOFEKvKbI+Y\n", "4SAiy1AIsSq0Wq3FbDLQCIVwWy0S1SrRZrNrh3KwvKZfnSiyDIUQK4qpM2w2m34XyoK9C8VaKG/a\n", "8uQmCyE2LMYy9DyPeasLJVModCVRBmUFQP9PIITY8NhDXjMDWl6jmKEQYlUwliFAzqo1HOpYhiZm\n", "aNaG9jtmKDEUQqwKpj8ZYCoW81/PLiz4/clwcup1v+OGcpOFEKvOrOUmDy0s9PEkyyPLUAixKrRa\n", "Ler1OgBTdkvewoKfQIHBsQwlhkKIVcF2k49bhdfD8/OEQqGuOsNBKK+RGAohVgVTawgw7bo0QyHC\n", "rRapcplIo+GP7opGo13lNf1aAaCYoRBi1Wk5DvPptP98KJ/v42l6IzEUQqwK9rRrz/PIWWK4pVj0\n", "3WPThRIKhfpafC03WQixapiYoed5zFliOLywQDibBViyGEpushBiQ5PLZPzr4QF0k2UZCiFWBTuB\n", "4nke09awhqF83k+gGHfZPO9XVlliKIRYNYwY1ut1poeG/NeHO7WGgB8zlBgKITYsrVYLWIwdTtsr\n", "QwNiGIvFusSwH33KihkKIdaEGaslL7uwQKgjlIOCxFAIsSqYmKHZhVJst8l3BNFttdhSKhEKhfwJ\n", "Nv2ebSgxFEKsGq1Wyx/l1Ww2mR0e9u+NdabXGCE0JTb9ihlKDIUQa8aslUQZnZ/v40mWogSKEGLV\n", "MAmQer2O53nMWGJoLEPjJpsESr8GvUoMhRCrhp1N9jyPE1bh9ej8fNcO5X7vUZYYCiFWDWPZ+WJo\n", "teTZYmjihdA/MVTMUAixZkx3+pEBtuRy0Kd9J72QGAohVg2zQ7nRaFCv18lHIpQ77nDM80iXSl07\n", "lIMTbNbSQpQYCiFWDVsMPc/DazSYsuKGdnmNiRv2a5yXxFAIsaZM20mUXK6PJ+lGYiiEWHVMF0qz\n", "2eSYLYazs4TDYcLhsG8ZmtmGa+0mK5sshFg1TDbZiKHneUxYPcpbZ2Z8N9lkk+2aQ4mhEGJD0Ww2\n", "/cLrQ5YYbuuIobEMoVsMQ6EQrVZrTYqv5SYLIdaUSctN3pLLEe6sBug3EkMhxKphsslmWIOZXjPb\n", "EcRwu83W+fmu0hqTUV7rXcoSQyHEqmPEsF6vU6/XOTYy4t/bPje3pNbQXhK1VoIoMRRCrDnHLTHc\n", "NjPTx5OcRAkUIcSqY7vJAEet6TXbOuU1rrsoR6YLBda2T1liKIRYdewuFIDD1sCGbbOzhEIhXwBj\n", "sdiSCTZrMdJLYiiEWHWMGNZqNQAmtm/3722dm8OFrjpDc21a88yWvdVEMUMhxJpTiUbJdaxDt9lk\n", "29xcn08kMRRCrAFdwxo6jyNbt/r3d05P+215vYY22K7yaiExFEKsOmZTnhHCer3OxNiYf/+i6Wm/\n", "ttAIoelTDsYNVwuJoRCiL0xYluGOqak+nmQRJVCEEGuC6U8G8DyPg1at4YVTU7ihEG3H8d1koMsy\n", "hMXBDauVUZZlKIRYE2w32fM8pmMxCvE4AIl6nW3W1GvbVV6rydcSQyHEqmP6k007Xr1ep9Fscsiy\n", "Di/uTLAJxg1d1/WTKxJDIcSG5NDoqH+9c3q6jydRzFAIsUaY8hrAtw6ft9ryLpma8i1DU3RtZ5SB\n", "Ve1GkRgKIdYE058MUKvV8DyPZywx3HX8OOF2u2vQa1AMzbBXWHkxlJsshOgbs8kkc51OlJjncWEf\n", "J9hIDIUQa4Jxk80OZZNVft7qU949OelPsHFdl1gsRiwW65pvuFpIDIUQa0az2fTrDc1jv9WJsnty\n", "0o8bmqyyPew1HA6vWpmNYoZCiDXBtOTByQQKwLNWRnlXxzK0EyjxeNyPIbqu68cdV3pRlCxDIURf\n", "mRgZodYRv5FikZFCoS/nkBgKIdYM4yZ7nketVlt8NJu8YMUNLz96dMkEG+MmB7tRVtJVlhgKIdYE\n", "04USXA5Vq9V45sIL/fddOTHhxwwjkYifRDETsM29lU6mSAyFEH3n6Z07/esrDh/GWYOl8UEkhkKI\n", "NcPsUbbdZM/zeDGbpZBIAJCpVLg4l+vqU7ZLbGzLcCXdZYmhEGLNMGJo9qHUarXFmsNmk2cs6/Cl\n", "R48SCoWWTLCx44crPbhBYiiEWDNsMbRjhp7n8fSOHf77rp6YIBQK+QXYxjKMx+NLkinGMjxfC1Fi\n", "KIQYCJ7euZNW5/rSyUlS1eqa/r7EUAixZhjL0O5CMe7yXCzGC9u2ARBut7nmxRf9oQ3BjLI9wGGl\n", "YocSQyHEmmPKa0yJjed5NBoNvnfRRf57XvHCC0uGvRpX2bjLK5lIkRgKIQaGxy6+2L++cmKCeKdl\n", "by2QGAoh1gzjJtuWYbVa9bPKR+NxJjq9ypFmk1cePOgXX5vMsu0y9yq1OVckhkKINSc4zstklD3P\n", "4+Hdu/333fDjH/slNsFulF4dKRJDIcS6whbDWq3mW4e1Wo1/v+QSWp3Y3xWTk4x1tuaZZIp5xOPx\n", "roSKEcVzRWIohBgo5pNJnrFqDm88cGBNfldiKIRYc0x5jSmx8SfYdNzlf7/sMv+9P/Xcc0Ssga8m\n", "m2zPOrQ7U84ViaEQYs0JTrCx3eRarcajO3dSiMUAGCsWue74cd9NNqJnRNE8TBzxXJEYCiEGDi8c\n", "5t9e8hL/+c3PPLPqvykxFEL0BdsyNEmUarXqd6Z8bfduvz3v2slJtufzhEKhrj5lWYZCiHVPcIKN\n", "EUMTN5yMxfihNcnmtc8911VzaAQxkUh0Pc4ViaEQoi8E+5SNGNrW4VcvvdR//3/Yv594q9W1Oc+2\n", "ECWGQogNyw8vuIATmQwAqXqdG154YdV+S2IohOgLwdY8k0m2M8tes8nXL7/c/8zrn32WcGfOoXGV\n", "jUWYTCZJJpPnfB6JoRCir7Rara7J17a7XKvVeHDXLmrhMAAX53JcOTvrd6TITRZCbBpK0Sjf3rPH\n", "f/76Z59dld+RGAoh+opJoixnGXqex79arvKrDh1ipFJZMrxBbrIQYt1jFsubbhRbDOv1Oi9kMjw7\n", "NgaA225z44EDSxZGGXf5XJEYCiH6il1vaEZ69bIO/98ll/ifueGFF3Acx48b2omUc0ViKIRYF3x3\n", "xw7qViJlRy63ot8vMRRC9J1Wq9U1xSZYgO15HnngsQsv9D9z4wsvLNmPonY8IcS6J9irbJIplUrF\n", "70j5N2th1PWd7XnBRMq5IjEUQqwbfrB9O9XONOtthQJb5+dX7LslhkKIvmPPN7R3Khs32ViKlVaL\n", "H23f7n/umokJv1dZlqEQYkNgD24wZTbGZTbiWK/X+cH4uP+ZayYm/EVQ5zvp+ty3p5wfP9On3xVC\n", "rHPm4/GtwP+uuu6xVKXybeDT1u1Hz/V7nXa7fb5nE0KIdY/cZCGEQGIohBCAxFAIIQCJoRBCABJD\n", "IYQAJIZCCAFIDIUQApAYCiEEIDEUQghAYiiEEIDEUAghAImhEEIAEkMhhAAkhkIIAUgMhRACkBgK\n", "IQQgMRRCCEBiKIQQgMRQCCEAiaEQQgDw/wGw2VnZkwFutQAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "\n", "imageplot(np.log(Pi+1e-5))\n", "plt.plot(s*N,t*N, 'r', linewidth=3)\n", "plt.xlim(0,N)\n", "plt.ylim(N,0)\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wasserstein Barycenters\n", "-----------------------\n", "Instead of computing transport, we now turn to the problem of computing\n", "barycenter of measures. A barycenter $q$ solves\n", "$$ \\umin{q} \\sum_{k=1}^K W_\\ga(p_k,q) $$\n", "where $\\la_k$ are positive weights with $\\sum_k \\la_k=1$. This\n", "follows the definition of barycenters proposed in\n", "[AguehCarlier](#biblio).\n", "\n", "\n", "With of the histograms." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [], "source": [ "N = 70" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load input histograms $ (p_k)_{k=1}^K $." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [], "source": [ "names = ['disk','twodisks','letter-x','letter-z']\n", "vmin = .05\n", "P = np.zeros([N,N,len(names)])\n", "for i in range(len(names)):\n", " p = load_image(\"nt_toolbox/data/\" + names[i] + \".bmp\",N) \n", " p = normalize(rescale(p)+vmin)\n", " P[:,:,i] = p\n", "\n", "K = len(names)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the input histograms." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAATQAAAE3CAYAAAAkFb0xAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAACWRJREFUeJzt3d12o8YWhVHIyPu/MrnoMKImslpI/Oy9as7rHB8Lyru+\n", "QnZrXpZlAkjw193fAMBRDDQghoEGxDDQgBgGGhDDQANiGGhADAMNiGGgATEMNCDG32d+8Xme/V3V\n", "wJZlmc/8+tbX2J6tL4UGxDDQgBgGGhDDQANiGGhADAMNiGGgATFO/T006Ozbf55+nk/9NTyeUGhA\n", "DIUG/zr6A4O2X0+xnU+hATEUGsO76qMcFdv5FBoQQ6ExpAofsL0si0o7mEKDGy3LUmK4pjDQgBiO\n", "nAylag2t35cj6HcUGhBDoe101g5vZz5X1TLjWAoNiKHQXrhyV3/2/6XaxuNZ2ncUGhBDoT2o9pzF\n", "n8p8r9o95VwKDYgxdKF1270VG7w25EDrNsh+4gFyLvf2M46cQIxhCi2lyp55fG12dEam0IAY8YWW\n", "XGbPePbCyBQaECO20EYrsy2lxogUGhAjrtBGL7MtpcZIFBoQw0ADYsQcOR01X3P07MV9+oxCA2JE\n", "DDR19r7RrtU8z2pnIBEDDWCaDDQgiIEGxGj9Ludoz4OOMuI7nutrrb5mRronZ1BoQIzWhQYplNkx\n", "FBoQo2WhVX8O0oVnaaRRaAypyhD3i7/HMtCAGC2PnHCEu46fiuw8Cg2I0arQPMg9x4hvDjzavu6z\n", "1tmo1/dKCg2I0arQ4ArPSmpPtSmx+yg0IIZCgzeorh4UGhDDQANiGGhADAMNiGGgATEMNCCGgQbE\n", "MNCAGAYaEMNAA2IYaEAMAw2IYaABMfxrG8BLnf4tOIUGxFBowDRNx3yWwrOvcWW1KTQgRqtCu+tz\n", "FNPd/dyDe53987T9+meuN4UGxGhVaMAx7jzlnPk5sAoNiGGgwUCWZSnzDPqM76PlkdObA8fwZgB3\n", "O/r4qdCAGC0LDdhnlNOMQgNitC40z9I+49nZOLr8bBz1LE2hATEMNCCGgQbEiBhongm9z7Wism9/\n", "8TdioAFMU/N3OR95x/M1ZTaWUX8OFBoQw0ADYsQcOVeOnr9z1GQkCg2IEVdoq9FLTZkxIoUGxIgt\n", "tNVopabMGJlCA2LEF9rqsVzSak2VwS8KDYgxTKE9Snmupsz4Scoa32vIgbbaDoTqN98Ag9ccOYEY\n", "QxfaVrViU2SMxmcKAPxLob3wbLc4q9rUGGcY7c0BhQbEUGg7KSk43lE/VwoNiKHQYABVn6UdfeJR\n", "aEAMAw0GMs9z9HNgR04Y0DzPtx0/zxyoCg2IodBgUFf/qd8VR12FBsRQaMA0TccX2x1vPig0IIZC\n", "A57q+OsdCg2IYaABMQw0IIaBBsQw0IAYBhoQw0ADYhhoQIy52r9gCfAphQbEMNCAGAYaEMNAA2IY\n", "aEAMAw2IYaABMQw0IIaBBsQw0IAYBhoQw0ADYhhoQAwDDYhhoAExDDQghoEGxDDQgBgGGhDDQANi\n", "GGhADAMNiGGgATEMNCDG32d+8XmefYrxwJZlmc/8+tbX2J6tL4UGxDDQgBgGGhDDQANiGGhADAMN\n", "iGGgATEMNCCGgQbEOPUvBc6yLH/+BfF5PvWX1NtwrfZ755rxvivXl0IDYrQotE92zO3/ZpQKca32\n", "U2TnunJ9KTQgRulCO3LnXL9Wan24Vvsps3ucub7KFtpZiy1xEbtW+yW/ti7OuAdlBxrAXuWOnFfs\n", "nClHKtdqP2VWy9HrS6EBMcoV2pW61ofKgOcUGhCjTKHdWR1dSs01+pyqre2o9aXQgBhlCq2CqhWi\n", "LuA9Cg2IodCeqFJqygz2UWgvVHgID7zPQANiOHL+wdXHT2UGn1NoQIwyhbYWUNVCObvUqr7u1d1v\n", "kHyr+voanT9OB9goU2hdHF1qigGOo9CAGOUKrcuzjm9LrfrrW3V/drbVZX2N4uj1pdCAGGUHWpcy\n", "WJZl126/97+/U5d78Ink19bFGfeg3JHzUafjwbIsf7xBHV7HNI3zw95pfSXxQcMAbyhdaKsuO+lP\n", "bxRU/75Xo5TZVtf71c0V60uhATFaFNqqW6l1MWqZ/aTL9eiyzq68ngoNiNGq0FZdSq26LiXC77qs\n", "+zvWl0IDYrQstJVS+4wy66nLOr9zfSk0IEbEQFMc73OtelJn72l95Hzk+Pna3QuNz3RZz1XWV0Sh\n", "AUxTUKGtlNrvquyc7NNl/VZbXwoNiBFXaKvRS63azsl7uqzXqutLoQExYgttNVqpVd05ea3L+qy+\n", "vhQaECO+0FbppVZ95+S5Luuxy/pSaECM4QZal51mj8TXNAJ1drxhjpyPUo6fnRYa/+my7jqur+EK\n", "Dcg1ZKGtupZax52TPuus8/pSaECMoQsNrqDMrqPQgBhDF1qXnXPrp09op5Yu6ytpHSk0IMaQhdZl\n", "5/wTpVZTl/WVuG6GK7Qui22PxNfUVZd7kTjMpmnAgQbkGubI2WXn/JTj5726rK/09aHQgBjxhdZl\n", "5zyKUrtWl/U1ynpQaECM2ELrsnOeRamdq8v6Gu3+KzQgRlyhddk5r6LUjtVlfY16vxUaECOm0Lrs\n", "nHdRat/psr5Gv78RhdZlsVXgWu3X5ZqNPsymKWSgAUxT8yNnl52zGsfP93RZX+7jfxQaEKNloXXZ\n", "OatTas91WV/u2/8pNCBGq0LrunNW/76V2i/V79NWl+/3ynWl0IAYLQqt+07U5RPaRy216velu+31\n", "PXN9KTQgRulC67RzvrPrzPPc4jWNUmod7kWiM9dX2ULrstjmed51Y/b+93fqcg8+kfzaujjjHpQd\n", "aAB7lTtydtk5v60sbxTco/r1Hs3R60uhATHKFVp1R5dKl1KDDhQaEKNMoVUvlLOfIVUvte7P0qpe\n", "V345an0pNCBGmUKr6uoiqV5qUJlCA2IYaC/c+byo67MquJMj5xNVhonjJ+yj0IAYCu1BlTLbUmrw\n", "HoUGxChTaHdWSNUy23KNPqdya/PH6QAbZQrtDl2rQ23AcwoNiFGu0K6oj65ltuVa7aduazl6fSk0\n", "IEbZgXZWGaQVxzS5Vp9Ifm1dnHEPyh05Hx15PEhfwK7Vfo6f9/BBwwBvKF1oq+1Ef2dHHaUytlyr\n", "/T65ZrzvyvWl0IAYLQpta/Si2MO12s8160uhATEMNCCGgQbEMNCAGAYaEMNAA2IYaEAMAw2IYaAB\n", "MQw0IMbsD3GBFAoNiGGgATEMNCCGgQbEMNCAGAYaEMNAA2IYaEAMAw2IYaABMQw0IIaBBsQw0IAY\n", "BhoQw0ADYhhoQAwDDYhhoAExDDQghoEGxPgHq+cKXZI2Fc8AAAAASUVORK5CYII=\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "for i in range(K):\n", " imageplot(P[:,:,i], '',[2,2,i+1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this specific case, the kernel $\\xi$ associated with the\n", "squared Euclidean norm is a convolution with a Gaussian filter\n", "$$ \\xi_{i,j} = e^{ -\\norm{i/N-j/N}^2/\\gamma } $$\n", "where here $(i,j)$ are 2-D indexes.\n", "\n", "\n", "The multiplication against the kernel $\\xi(a_\\ell)$\n", "can now be computed efficiently, using fast convolution methods.\n", "This\n", "crucial points was exploited and generalized in [SolomonEtAl](#biblio)\n", "to design fast optimal transport algorithm.\n", "\n", "\n", "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gamma = (.04)**2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the $\\xi$ kernel.\n", "We use here the fact that the convolution is separable to implement it\n", "using only 1-D convolution, which further speeds up computations." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy import signal\n", "from nt_toolbox.perform_blurring import perform_convolution\n", "\n", "n = 41 # width of the convolution kernel\n", "t = np.linspace(-n/(2*N),n/(2*N),n)\n", "g = np.exp(-t**2/gamma)[:,np.newaxis]\n", "g2 = np.dot(g,np.transpose(g)) \n", "xi = lambda x: np.transpose(signal.convolve2d(np.transpose(signal.convolve2d(x, g,mode=\"same\")),g,mode=\"same\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the application of the $\\xi$ kernel on one of the input histogram." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAksAAAEdCAYAAAAcgiN1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAFvZJREFUeJzt3Vl3G8exAOCmqIUiJZJaKNlJHJ+T/P+flIfYSazF1M5F\n", "JiXeh3syqS4CBULiMgC+72n6NAUOgCZQmqqpXjs7O2sAAEx266ZPAABgzARLAAAFwRIAQEGwBABQ\n", "ECwBABQESwAABcESAEBBsAQAUBAsAQAUbl/lg6+trWkPDivm7Oxs7abP4TLkz6+1tbWJx8DiibuX\n", "5J1MJn2GubIEAFAQLAEAFK40DQewqHKq7datW1PnZv1b4Hrl1Fo1//Xr15mP58oSAEBBsAQAUJCG\n", "A5ggp9Kqu+Gk3WBc8t9klZa7yN+vK0sAAAXBEgBAQbAEAFBQswQwJzVLsNhmtRbIXFkCACgIlgAA\n", "CoIlAICCmiWAC1CXBMtj3r9nV5YAAAqCJQCAgjQcAKO1SunPeW9n5/q4sgQAUBAsAQAUBEsAAAU1\n", "SwBcq++pQ5rn395EvdM8dUf5Z+c5X/VN18uVJQCAgmAJAKAgWAIAKKhZAuDSfU9tURxXc/P+7Lee\n", "X1bVC+W5OK7m5v3Z6vzVM10+V5YAAAqCJQCAgjQcAN/kW1Nt+d/dutX/v319fX3i8aTx7du3p87l\n", "x72KVgI55fX169du/OXLl+H49PR06lwe57n8uFXKToru8rmyBABQECwBABQESwAABTVLAEx10Tqf\n", "WXVIcRzrjCaN7969Oxzfu3dv6lxrrW1sbEydy4+bz+ky5FqiXJf0xx9/DMfHx8dT51pr7fPnz1Pn\n", "8uPGcT6HOFbPdDlcWQIAKAiWAAAK0nAADObpeh3H1S39rfUpspg6a621+/fvd+MHDx5MPJ403tra\n", "mvo4d+7c6cbxHC+rg3e+xf/k5KQbHx0dDccHBwfd3KdPn6aO81x8nNb6lF6VssvnV3UGz6+JtNz/\n", "uLIEAFAQLAEAFARLAAAFNUsrbtFy0lexXQGsmnn+juLt9vnW+1iXlG/b39zc7MaxtmhnZ6eby+Pd\n", "3d2Jx5PG29vbE3/HpHOKNUvf00Yg3pqfa4Jy/VCsU/rw4UM39+7du6njPPf+/fup41wLdXh4OPV8\n", "cguC+FxyCwJtBv7HlSUAgIJgCQCgIFgCACioWVpCy5xLnue5qW+C/zdP76RcyxPrfHLfotjXKPc/\n", "yrVFT58+nXjcWmt7e3vd+MmTJ8Px48ePy8eNvzfXSeWapfjcqp5RWdWbKNf55BqhWD+UeyfluqQ3\n", "b94Mx/v7+93c69evu/Hvv/8+8Tg/7qx+TbEvVK6/ys9tlXsyubIEAFAQLAEAFKThFtSyX/K8DNVr\n", "JEXHMpu1vufZpuTevXvDcU61xVv+cyrt+fPn3fiHH36YOvfs2bNuHNNwua1APoeYCozn2tr551Kl\n", "4eZRpeHyrfmfP38ejnMKLKfIYjuAnIZ79epVN3758uVw/OLFi6lzOX2XWxDEc4jn2tr55xLTdPnz\n", "ddnTcq4sAQAUBEsAAAXBEgBAQc3SiC1bzndM1DOxbOZpDxDrlPLt9bEGqLXWHj58OBznW/5j7dGf\n", "/vSnbu4vf/lLN/7xxx+H41yjlNsDxDql3A5gY2OjG8d2Brn+Ko+v4m87f5bk2+/jON6m31prx8fH\n", "3Ti2GZjVXiGOY41Xa/3rl2u8Yj1Ta33bgY8fP3ZzucYqtkXIz7OqYVqG7zJXlgAACoIlAICCYAkA\n", "oKBmaUSWIa+7DGb1D4Ex+NYapdb6fkRbW1vd3KNHj7pxrC/KdUk//fTTcJxrlPLPxsfJvyPWRbXW\n", "1yXlLVbyOPZOylu13MTfbv78iH2Yck+mXH8V34v8muR+U3Hbl7wFTPzZefpU5V5Ob9++7cYHBwfD\n", "ce7JVNUwLUMPJleWAAAKgiUAgII03DVbxMuPq06bARZBtYVJbg8Q0z35tv0///nP3fivf/3rcPzz\n", "zz93czENl9Nu+db3mCrKqb9qm5JZt//H8Rj/HmNqMH+W5O1Y4vuUX5OcsostFfLrGVN4OZ2X03Dx\n", "cfI6qV7P/FxiW4HW6q1RFpErSwAABcESAEBBsAQAUFCzdMWWIVfLdNoMcF1mra1YG5NrYfIWJvHW\n", "/Vyj9Le//a0b//3vfx+Oc81SrFPKW25sb29PPYdcG5PrknILgGjR/saqmqr8+RGfd35N8nsaWyjk\n", "+qb4WuftYqrtY/LvyOL55lYBuS1C9bOL2ErAlSUAgIJgCQCgIFgCACioWboCi5B/5WpULf5hXtUa\n", "ynU9scYl17DkXjtx65HYR6m1vkYpj/OWJrFOKf+OfA6xxmbWtiSr8rczz/ubf7aqb4qvda4Py+Oq\n", "Tun09LQbx15KebuT/LOxhqnaAqa1/rmN9fvTlSUAgIJgCQCgIA13CcZ62ZCbpa0Al6lKw7TWp17y\n", "lhZ565F4y39uB5DHMfWWHye2B6i2LMnn629htlmpyaolQXytZ6XzopxKOz4+7saHh4fD8dHRUTd3\n", "cnIy9bGqtgKTxmPkyhIAQEGwBABQECwBABTULAGMRFVPkueqLU12dna6uefPn3fjn376aeJxa309\n", "U2t9e4C8hUm1VcaqtgO4LvH1rOrXZr3usV4otgZora9Raq21T58+TTye9LOxtcA8W6OMdSsUV5YA\n", "AAqCJQCAgmAJAKCgZukbjCWHymLRd4l5xTWSt7TI21bE3kp7e3vdXK5Dir2Tqhql1vptTKpeSrlu\n", "hutT1YflWrJqK5xZNUsfP34cjt+/f9/NVTVM+XFzDVP8bBzr96vVDQBQECwBABSk4S5orJcGWVzV\n", "7bKshlnve0xt5XTK5uZmN97d3R2Oc6uAmHZrrU+9VVuYtNanbWa1B2B8ZrWciO9vfu/z2qjScNU4\n", "b5uSt0aJrQRyii6e/01+D7uyBABQECwBABQESwAABTVLACOR60tizVJuFbC1tdWNY33JDz/80M39\n", "+OOP3fjZs2fDcax1aq3fNqW1fuuM3B5AzdL4VWuqtf79ze99Xhtx3bx7966b29/f78Zv3rwZjmOt\n", "U2utHR0ddePT09PhuNoK5Sa5sgQAUBAsAQAUpOGmGMulP1aD7t6ro3pvq9u8NzY2urmdnZ1uHNNw\n", "uXVATJ+01tqjR4+G45zOy+m+mLaxLhff96R647rJayqvuVevXg3HMSXX2vlu37HDd9XdO5/7dX5P\n", "u7IEAFAQLAEAFARLAAAFNUsAN2TWbd2xZinf1p1rlvb29objXE/y+PHjbhx3ms+70K+vr5fnyHKJ\n", "729+7/PaiOsmr6m85uJ6fPnyZTeXa5gODw+H47wVSqxLst0JAMBICZYAAAqCJQCAgpqlQG8lxqLq\n", "LcLyyO9trhmJfW8ePHjQzeWtKJ48eTLxuLXz9U2xZ1Osi2rNliarJr6/Vc1ca/26yWsqr7k4zms1\n", "r+W4HUrsudRav/2JmiUAgJESLAEAFKThAK7QPNubVLduz0rDxVu5c4pkc3OzG8ed5vPvhP/KayOu\n", "m7ym8pqL63FWGi6u86Ojo27u9PR06vld5/YnriwBABQESwAABcESAEBBzRLANYp1FpfZOiCO88/G\n", "W75b62tP8jloFbC6Zq2FuG7ymqrW56yapbjOq+12rrNGKXNlCQCgIFgCACgIlgAACitds2R7ExZB\n", "XqdqSpZHfi+r7SW2tra6ue3t7W4c60Du37/fzcVak9b6bS2sJ6bJayOum7ym8pqL6zGv1byWq+13\n", "xrI+XVkCACgIlgAACiudhgO4SfO0DshpjpzKiNtPxO0jJj2uNBwXUaXhqq15WuvXY16reS1ftHXA\n", "TXJlCQCgIFgCACgIlgAACmqWAK5RtX1DrAlprb+NOt+qHes88jjffj3WOhAWS1w3eU3lNRfXY16r\n", "eS3Hf5v/Bmx3AgCwAARLAAAFwRIAQEHNEsBIzNPXpuqdVNV9wGWYVW/3rWt3rGvVlSUAgIJgCQCg\n", "IA0HcEPmSTnMSntUt1jDVctrLo6/Jy08lrXsyhIAQEGwBABQECwBABTULAEsgbHUdkBry7ceXVkC\n", "ACgIlgAACoIlAICCYAkAoCBYAgAoCJYAAApaBwAsgbOzs5s+BRgs23p0ZQkAoCBYAgAoCJYAAApq\n", "lgBuyDx1Hflnv379OnV+2epFGL+85uK4WqvzPu5NcWUJAKAgWAIAKEjDAYxElWr78uVLN5fH8We/\n", "J+0BFzErLfyta3esa9WVJQCAgmAJAKAgWAIAKKhZArhG1S3+ue7j9PR0OD45Oenm/vjjj6nj+O9a\n", "O18jMta6EMYtrpu8pvKai+sxr9W8luO/HWtLDFeWAAAKgiUAgIJgCQCgoGYJ4IbkGoxcBxJrPY6O\n", "jrq5g4ODbnx4eDgcf/78uXzcWBdy61b/f+a1tbVZp82KmKfvV15zcT3mtZrXclznY62vc2UJAKAg\n", "WAIAKKx0Gi5fbh7L5T6IpEWWV/7MybdfHx8fD8c5lfHhw4du/OnTp+E4pznyrdrV9hLWG/9VpeHy\n", "msprLq7HvFbzWo7rPP8NjOV72ZUlAICCYAkAoCBYAgAorHTNEsB1q7ZvqFoHxBqQ1lp79+7d1HH+\n", "2VgT0lprGxsbw/Ht2/3XgBqm1ZXf+zyOdUp5TVXrM6/V/LMXbR1guxMAgJESLAEAFARLAAAFNUsA\n", "V6iqAZpVsxS3kJhVs/TmzZvh+P37991c3Hqitda2traG47t373ZzefsTVldej7FmKa+pvObiepxV\n", "sxTX+TzbnVxnDZO/CgCAgmAJAKAgDRdUl8fhOrldezVcZuuA/f39icettfb06dNu/PDhw+H43r17\n", "3dz6+no3jmk563L5xDUYtzNprd5+J6fd8pqL48tqHXCTXFkCACgIlgAACoIlAICCmiWAG5LrMaqa\n", "kaOjo24u14y8fv16OH716lU3t7e31413dnaG47j1SWvntz+JdUpqlpZPXINV64rWWvv48eNwHFsD\n", "tHZ+zcX1mNdqXstxnee/ATVLAAALQLAEAFAQLAEAFNQsTZFz82PJm7Kc1IKsjvhZMutzJtZyxB43\n", "rZ2vA/n999+H45cvX3ZzuWZpd3d3ON7c3Ozm7ty5042rPkvW7eKp6uRiv6PWWjs4OOjGb9++HY5z\n", "jVJec3E95rWa13Jc52PZ3iRzZQkAoCBYAgAoSMMBjMT3pEhi2uPFixfd3JMnT7pxTMNtbW11c9X2\n", "JzntZiuU8ZvVnuLk5GQ4zrf0521KYurtt99+6+bymovrMa/VvJbjOY215MWVJQCAgmAJAKAgWAIA\n", "KKhZuqCYjx9rTpXFosaD/FmS10Ss5Yi3V7fW2uHhYTeO9SX5Nu64vUkeP3z4sJu7f/9+N46tBGKN\n", "Up6znsepakfRWr+lyYcPH7q5WHfUWmv/+c9/huN//etf3Vxec3E95rWazyHXUUVj+b51ZQkAoCBY\n", "AgAoCJYAAApqlr6BrVD4Fmo6mFf8bPny5Us3l3vVfPr0aTh+/fp1N/fgwYNuXNUs5e1P7t69Oxzn\n", "mqW4pm/fvj11btKYy5O/g+K4qlFqrbWPHz8Ox/v7+91crFFqra9TynN5zcX1mNdqXsuL8B3qyhIA\n", "QEGwBABQkIYDGImqlcCsW8DjVhV5l/d8W3dMy+UUXZWGq1JpeZuUnJazNcrliush33of10ZOu+X2\n", "ADH1llNrv/7669RxXlN5zcX1mNdqlXYba0rOlSUAgIJgCQCgIFgCACioWboEWgkwiboMLlP+XMl1\n", "KicnJ8NxvG27tfPbVsQtTXKN0sbGRjfOtUfTzim3IMg1TNW2KdoMnFe1A2itf//je99aX6cUWwO0\n", "dr49QGwH8M9//rOby+NY05TXVF5z8ZzyWl3E70hXlgAACoIlAICCNNwVqG73ZblJH3CZ4udHXls5\n", "tRG7Ilddmltr7dWrV8NxbA3QWp12y7eAx87MuUvz9vZ2N46pv/w719fXu3FO00XL9DdWfT9U729r\n", "/esdb9NvrW8PMKsrd0y1/eMf/+jmfvnll24c101eU3nNxfPNzyVbhO9JV5YAAAqCJQCAgmAJAKCg\n", "ZumKaSuw3JapfoJxq7ZCaa2vC6m2Qmmttbdv3059nCw+1vHxcTd3eHg48bi11p4+fdqNd3d3h+Ot\n", "ra1urtoqJdczVW0Gxvj3GN+3We0AYp1Pfg9zTdDBwcFw/O7du24u3tY/awuTWLOUa5T+/e9/d+O4\n", "bvKayudb1Skt4vegK0sAAAXBEgBAQbAEAFBQs3TNqpz6IuZxV8EY6yAgi58fVU+e1vp6l+px8r/N\n", "dUlxi4vcdyePnz17Nhw/evSom8tbpcQtV+I2KZPGsSfTrG1UrkO1LUm1RU0e5/qw/HrG+qHY/6i1\n", "vk4pbmfS2vmapfiz+XHi72itXzd5TeU1t2zfZ64sAQAUBEsAAAVpuBHRZmAcpN1YBFUrgeqW9Nb6\n", "29Dn+dl8u3hMw71//76by+N4e3tMybXW2uPHj7vxzs7OcLy5udnNxRRda31aLrcZmNV24DLMev3i\n", "OKfdqlYM+fV78+ZNN44ps99++62bi6m33Drg5cuX3Ti2Gcipvvx+x9TbPGm3Zfguc2UJAKAgWAIA\n", "KAiWAAAKapZGTJuBq6MuiWUTPxNm1T/GepN8C3i+vT1uY5FrbmKNTaxfau18zc3+/v5w/Pz5824u\n", "1zA9efJkOI71S6219uDBg258//794bjaNqW1vrXA93wGxNezer1au3jNV2v9axZfr9bO39Yfa49e\n", "vHgxde7169dTf0c+h7ylSn4ucd3M+g5atu8oV5YAAAqCJQCAgmAJAKCgZmlBqWeaTV0Sq6rqwZTn\n", "Z/XLiTU5VT1O3gql6hOU62/29va6caxZyj2Ydnd3u3GsYco9me7evduNq5qleT5Tq5qlXANW1XXF\n", "3lOt9a9RrlnKtUexP1I8zo+bf2eum4p1aHkt5Oe27L2UKq4sAQAUBEsAAAVpuCU0T/pp0S6dSq3B\n", "/L5na5Qq5VS1IMhbecStNPLWHXkLjphqy2m3PN7e3h6Ot7a2urmchovbn8SU3Lzi65Bfr/w6HBwc\n", "DMcfPnzo5nIaLo7zXLWdTPwdrfWpv3w+OZUan0t+fyuL9t3xvVxZAgAoCJYAAAqCJQCAwtpV5h3X\n", "1tZWK6kJtLOzs6UoLFtfXz9L4+F4ntvOF031XKrnHV+f1s5vNRLrhzY2Nrq5uGVJa307gLy9SR7H\n", "OqX8OHfu3OnG1Xs4j6r1Qt4SJt6qn2uL8m39cTzrlv9YE1bVJc1qDbEq7QCq551foy9fvpxbHK4s\n", "AQAUBEsAAAXBEgBAQZ8lAAbz9GSK42qblNb6OppqS5DW+p5M9+7d6+Zy76RY/5Tnct3U9/RWmqZ6\n", "nq31zzX3nsqvQ9w+ZlZ/pDjO5xDH89QdLVON0mVzZQkAoCBYAgAoSMMBMFWVmpln25Rqi5B8u31M\n", "QeVb5qsWBXkup92uosXDrPRjfK45lTbhlvWpc/lxqxToPOfLxbiyBABQECwBABQESwAABTVLAHyT\n", "i9Yz5Z+dteVGrM/JdT7VlivzbENzWdudzJqb53nP87Pfen58G1eWAAAKgiUAgIJgCQCgoGYJgEv3\n", "rfVM8/7bylX0VZrlumqL1CVdL1eWAAAKgiUAgII0HADXap4U0qyU3WX9njFYtPNdJa4sAQAUBEsA\n", "AAXBEgBAQc0SAKOljocxcGUJAKAgWAIAKEjDAVxATAfdRGdo4PLMm951ZQkAoCBYAgAoCJYAAApq\n", "lgDm5HZ2WCzf+zfryhIAQEGwBABQECwBABTULAFMkGscqpqHPKcPE9ysWTVKcf4i9UyuLAEAFARL\n", "AAAFaTiACfKl+a9fvw7H0myw2KThAAAukWAJAKAgWAIAKKxp2w8AMJ0rSwAABcESAEBBsAQAUBAs\n", "AQAUBEsAAAXBEgBAQbAEAFAQLAEAFARLAAAFwRIAQEGwBABQECwBABQESwAABcESAEBBsAQAUBAs\n", "AQAUBEsAAAXBEgBAQbAEAFAQLAEAFP4PUHUtffoArIUAAAAASUVORK5CYII=\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,5))\n", "imageplot(P[:,:,0],'',[1,2,1])\n", "imageplot(xi(P[:,:,0]),'',[1,2,2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Weights for isobarycenter." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [], "source": [ "lambd = np.ones(K)/K" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is shown in [BenamouEtAl](#biblio) that the problem of Barycenter computation\n", "boilds down to\n", "optimizing over couplings $(\\pi_k)_k$, and that this can be achieved\n", "using iterative Bregman projection that defines iterates $(\\pi_{k,\\ell})_k$.\n", "These iterates can be written using diagonal scalings\n", "$ \\pi_{k,\\ell} \\eqdef \\diag(a_{k,\\ell}) \\xi \\diag(b_{k,\\ell}). $\n", "\n", "\n", "Initialize the scaling factors." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [], "source": [ "b = np.ones([N,N,K])\n", "a = np.copy(b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step of the Bregman projection method corresponds to the\n", "projection on the fixed marginals constraints $\\pi_k \\ones=p_k$. This\n", "is achieved by updating\n", "$$ \\forall k=1,\\ldots,K, \\quad a_{k,\\ell+1} = \\frac{p_k}{ \\xi( b_{k,\\ell} ) }. $$" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [], "source": [ "for k in range(K):\n", " a[:,:,k] = P[:,:,k]/xi(b[:,:,k])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second step of the Bregman projection method corresponds to the\n", "projection on the equal marginals constraints $\\forall k, \\pi_k^T \\ones=q$. This\n", "is achieved by first computing the target barycenter using a geometric means\n", "$$ \\log(q_\\ell) \\eqdef \\sum_k \\lambda_k \\log( b_{k,\\ell} \\odot \\xi( a_{k,\\ell} ) ). $$" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [], "source": [ "q = np.zeros(N)\n", "\n", "for k in range(K):\n", " q = q + lambd[k] * np.log(np.maximum(1e-19*np.ones(len(b[:,:,k])), b[:,:,k]*xi(a[:,:,k])))\n", "\n", "q = np.exp(q)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then one can update the other maginals to be equal to this barycenter at step $\\ell$.\n", "$$ \\forall k=1,\\ldots,K, \\quad b_{k,\\ell+1} \\eqdef \\frac{q_\\ell}{ \\xi(a_{k,\\ell+1}) }. $$" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [], "source": [ "for k in range(K):\n", " b[:,:,k] = q/xi(a[:,:,k])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 4__\n", "\n", "Implement the iterative algorithm to compute the iso-barycenter of the measures.\n", "Plot the decay of the error $ \\sum_k \\norm{\\pi_k \\ones - p_k} $." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAbUAAAE4CAYAAADchG3bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAHiRJREFUeJzt3XmUnVWZ7/HvAwFkUBBRJuMFFQRxQFoRcAqjDCrSXBVa\n", "ulW8qNAO3WrL4LKNq+9a1+FqO9yLioDgAGLbCEQwJChRbqOgEJDBCIi0jGEUaQQZ8tw/9lvUSVmp\n", "JFXvqX3OW9/PWrWqzn7fc/azVwV+td9pR2YiSVIXrFG7AEmS2mKoSZI6w1CTJHWGoSZJ6gxDTZLU\n", "GYaaJKkzphxqEXFyRCyNiKt62uZGxC0Rsbj52neq/UiStDJtzNS+DowNrQQ+l5kvab7mt9CPJEkT\n", "mnKoZeZFwH3jbIqpfrYkSaujn+fU3hcRV0bESRGxUR/7kSQJ6F+ofRnYGtgRuB34bJ/6kSTpCbP6\n", "8aGZeefIzxFxIjBv7D4R4UMnJUl/ITMnffqqL6EWEZtn5u3Ny4OAq8bbbyqFD4KImJuZc2vXMRWO\n", "YTA4hvqGvX7ozBimNOGZcqhFxOnAa4BNIuJm4OPAnIjYkXIV5O+Ad0+1H0mSVmbKoZaZh47TfPJU\n", "P1eSpNXlE0WmZlHtAlqwqHYBLVhUu4AWLKpdQAsW1S5gihbVLqAFi2oXUFvUWiQ0InLYz6lJkto1\n", "1WxwpiZJ6gxDTZLUGYaaJKkzDDVJUmcYapKkzjDUJEmdYahJkjrDUJMkdYahJknqjKqhFsF2NfuX\n", "JHVL7ZnagZX7lyR1SO1Qq92/JKlDaoeKDzSWJLWmdqjV7l+S1CG1Q8WZmiSpNbVDrXb/kqQOqR0q\n", "ztQkSa2pHWq1+5ckdUjtUHGmJklqTe1Qq92/JKlDaoeKMzVJUmtqh1rt/iVJHVI7VJypSZJaUzvU\n", "avcvSeqQKYdKRJwcEUsj4qqeto0jYmFEXBcRCyJioxW9far9S5I0oo2Z0teBfce0HQMszMxtgR81\n", "r/vVvyRJQAuhkpkXAfeNaX4DcGrz86nAG1fwdmdqkqTW9GumtGlmLm1+XgpsOs39S5JmoL6HSmYm\n", "kCvY7ExNktSaWX363KURsVlm3hERmwN3jr/b3+0S8c25zYtFmbmoT/VIkgZQRMwB5rT2eWUiNcUP\n", "idgKmJeZL2xefxq4JzM/FRHHABtl5jFj3pOQx2fy91MuQJLUCRGRmTnpo3htXNJ/OnAx8LyIuDki\n", "3gF8Etg7Iq4D9mhe96V/SZJGTPnwY2YeuoJNe63C2z2nJklqTe2ZUu3+JUkdUjtUnKlJklpTO9Rq\n", "9y9J6pDaoeJMTZLUmtqhVrt/SVKH1A4VZ2qSpNbUDrXa/UuSOqR2qNTuX5LUIbVDxcOPkqTW1A61\n", "2v1Lkjqkdqg4U5MktaZ2qNXuX5LUIbVDxZmaJKk1tUOtdv+SpA6pHSrO1CRJrakdarX7lyR1SO1Q\n", "caYmSWpN7VCr3b8kqUNqh4ozNUlSa2qHWu3+JUkdUjtUnKlJklpTO9Rq9y9J6pDaoeJMTZLUmtqh\n", "Vrt/SVKH1A4VZ2qSpNbUDrXa/UuSOmRWPz88Im4C/gg8DjyamTuP3aWf/UuSZpa+hhqQwJzMvHcF\n", "252pSZJaMx2hMtFszJmaJKk1/Q61BC6IiF9GxBEV+pckzSD9Pvz4isy8PSKeDiyMiCWZeVHPdmdq\n", "kqTW9DXUMvP25vtdEfF9YGegJ9T+cXbE5+c2LxZl5qJ+1iNJGiwRMQeY09rnZWZbn7X8B0esB6yZ\n", "mQ9ExPrAAuATmbmg2Z6Qv8hk7BWRkqQZKiIyMyd9FK+fM7VNge9HxEg/3x4JtB6eU5MktaZvoZaZ\n", "vwN2XMluhpokqTW1Q8ULRSRJrakdarX7lyR1SO1QcaYmSWpN7VCr3b8kqUNqh4ozNUlSa2qHWu3+\n", "JUkdUjtUnKlJklpTO9Rq9y9J6pDaoeJMTZLUmtqhVrt/SVKH1A4VZ2qSpNbUDrXa/UuSOqR2qDhT\n", "kyS1pnao1e5fktQhtUPFmZokqTW1Q612/5KkDqkdKs7UJEmtqR1qtfuXJHVI7VBxpiZJak3tUKvd\n", "vySpQ2qHijM1SVJraoda7f4lSR1SO1ScqUmSWlM71Gr3L0nqkNqhslYE61SuQZLUEbVD7UnAiRHM\n", "qlyHJKkD+hZqEbFvRCyJiOsj4ugV7PYQcBhwdgQb9qsWSdLM0JdQi4g1gf8D7As8Hzg0IrYfZ9e9\n", "gXuA/YGrItizH/VIkmaGfs3UdgZuyMybMvNR4DvAgWN3yuQ/gF2AXwCzgQsi+HYEz+pTXZKkDutX\n", "qG0J3Nzz+pam7S9kcgOwG/Ax4M/A3wC/ieB/RrBRn+qTJHVQvy7QyFXZKSLm9rxcBLkd8EngLcBH\n", "gfdF8AXg85nc23aRkqS6ImIOMKe1z8tcpfxZvQ+N2AWYm5n7Nq+PBZZl5qd69snMHPfm6wh2A/4F\n", "2KNpegD4EvCvmdzdesGSpIEwUTas0vv7FGqzgN8AewK3AZcCh2bmr3v2WWnhEbwS+GfKBSVQrpb8\n", "OvC5TH7beuGSpKqmGmp9OaeWmY8B7wXOB64FzugNtFX/HP5fJvtQzrmdC6wLHAVcF8F3I3hZi2VL\n", "koZcX2Zqq9TxJNI4gh2ADwNvBdZqmhcBnwbmZ67auTxJ0mAayMOPq9TxFAqPYEvgA8B7gCc3zVcD\n", "nwG+k8kj7VQpSZpOMzLURj+DDYF3Af8AbNE030a5qOQEr5iUpOEyo0Nt9LNYm3J/24eBHZrmPwGn\n", "AF/I5Lo2+pEk9ZehttxnEsA+wAeb71DumfsB8DngJ553k6TBZait8PN5AeWw5GHwxPI2V1DC7QzP\n", "u0nS4DHUVtoPzwCOpNwK8Iym+XbKA5e/msk9/a5BkrRqDLVV7o8nUc67/SPwgqb5IeBUymO4fjNd\n", "tUiSxmeorXa/BLAXJdz269l0LuXQ5IWed5OkOgy1KdXA9pTzbn9HWYUb4Ergi8DpmTxUqzZJmokM\n", "tRZE8HTg3ZRHe23aNN8DnAgcn8nva9UmSTOJodaiCNahLHvzPuClTfMy4GzKDd2LPDQpSf1jqPVB\n", "c97t5ZRwexOjz5m8mnLV5LcyebBSeZLUWYZan0WwOeVRXO8BNmua7wdOBv6vS+BIUnsMtWnSPIrr\n", "YMrsbdemOYHzKIcmF2ayrFJ5ktQJhloFEbyUEm6HAGs3zTcAXwFO8YZuSZocQ62i5qrJIyiHJmc3\n", "zQ8DZwDHA7/wwhJJWnWG2gCIYBawP+VRXK/t2XQZ8GXKPW9/qlGbJA0TQ23ARPBcyj1vhwMbN81/\n", "oDyO68s+jkuSVsxQG1ARrEu5HeAoyu0BI35Emb2dk8mjNWqTpEFlqA2BCHairBTwVmDdpvk24ATg\n", "a5ncVqs2SRokhtoQiWAjynMmjwKe1zQ/DpxFmb392AtLJM1khtoQap5YMocSbm8EZjWbfkMJt1Mz\n", "+UOd6iSpHkNtyEWwBfA/KE8t2bJpfgg4jfIw5ctr1SZJ081Q64jmtoDXU8697d2z6VLKPW/fdSkc\n", "SV1nqHVQBNtSbuh+O/DUpvle4BTgK5lcX6cySeovQ63DIliPshTOkcDLejYtpJx7m5fJYzVqk6R+\n", "GMhQi4i5lPNEdzVNx2bm/DH7GGqroXne5JHAoYzeFnAr8DXgxExurVWbJLVlUEPt48ADmfm5CfYx\n", "1CYhgqdSbgs4kuVvCzib0dsCXC1A0lCaajas0WYxYxhYfZDJfZl8Adge2AP4N8oSOH9NOSy5JIIP\n", "RjzxiC5JmjH6GWrvi4grI+KkiNioj/3MSJlkJhdm8mbgWcDHgJuBbYDPArdGcEoEL2/ui5Okzpv0\n", "4ceIWMjoStC9Pgr8nNHzaf8CbJ6Z7xzz/gQ+0dO0KDMXTaoYAcutFnAkZbWAkTBbTDk0eVomD1Yq\n", "T5L+QkTMoTyMYsTHB+6c2nIdRGwFzMvMF45p95xaH0XwbEZXC9ikaf4j8A3KagHX1qpNklZkIM+p\n", "RcTmPS8PAq7qRz9asUxuzORoyuKlhwEXA08B3gtcE8FPIjgk4omVuyVp6PXr6sdvADtSLmD4HfDu\n", "zFw6Zh9natMsghdRDk0eBmzQNN8JnASckMlNlUqTJGBAL+lfpY4NtWoieDIl2I4ERg4LJ3Ae5dzb\n", "/Ewer1SepBnMUNOkNVdF7kYJtzfBE4cib6Ks9XZSJnfWqU7STGSoqRURPB14B+Xikmc3zY8C/06Z\n", "vV3kWm+S+s1QU6siWAPYhzJ7ex2jFxNdA3wF+GYm91cqT1LHGWrqmwieBRxBeY7nyD2JD1LWevty\n", "Jotr1Sapmww19V0Ea1FW6D4S2L1n0yWUQ5Ou9SapFYaaplUE2zG61tuGTfO9wNeBr7rWm6SpMNRU\n", "RbPW2yGU2dtLeza51pukSTPUVJ1rvUlqi6GmgeFab5KmylDTwGlu6p5DCbeDgFnNpusptwWcksm9\n", "daqTNMgMNQ20CDYH3gm8i/JwZYCHgTMos7dLvalb0ghDTUPBtd4krQpDTUPHtd4krYihpqEVwZOA\n", "g4GjKA9WHvFTyuztzEweqVGbpDoMNXWCa71JAkNNHeNab9LMZqipkyZY6+0/ga/iWm9SJxlq6jzX\n", "epNmDkNNM4ZrvUndZ6hpRnKtN6mbDDXNaK71JnWLoSY1Jljr7RTgK671Jg0+Q00aY4K13i6gzN7O\n", "ca03aTAZatIEVrDW222Utd6+5lpv0mAx1KRVMMFab+dQZm8/cq03qT5DTVoNK1nr7auUtd7uqVOd\n", "pKlmwxor32WFHb8pIq6JiMcjYqcx246NiOsjYklE7DPZPqS2ZZKZXJjJm4FnAR8Dbga2Af43cGsE\n", "p0awSxOAkobIpGdqEbEdsIzy1+2HMvPypv35lHuFXgZsSTk5v21mLhvzfmdqGgiu9SYNjmoztcxc\n", "kpnXjbPpQOD0zHw0M28CbgB2nmw/Ur9l8lgm52SyH/Bc4NPA3cBLgBOA2yL4UgQ71KxT0spNOtQm\n", "sAVwS8/rWygzNmngZXJjJkcDsymrBVwMPAV4L3B1BD+J4JCIJx6wLGmAzJpoY0QsZPQRRL2Oy8x5\n", "q9HPuMc4I2Juz8tFmbloNT5T6ptMHga+DXy7WevtPcDfAq9uvu6McK03aaoiYg7l4q12Pm+qVz9G\n", "xIUsf07tGIDM/GTzej7w8cy8ZMz7PKemodKs9fZWyrm3FzXNrvUmtajaObWxdfT8fA5wSESsHRFb\n", "U64qu7SlfqRqMnkgk68AOwKvAL5FWQLnAOAHwG8jODaCZ1QsU5rRpnL140HAF4FNgPuBxZm5X7Pt\n", "OOBw4DHgA5l5/jjvd6amoRfBJpS13t6Da71JU+bN19IAaNZ625tyaPL1uNabNCmGmjRgIphNWevt\n", "CFzrTVothpo0oFzrTVp9hpo0BHrWensbsFHT7Fpv0hiGmjREXOtNmpihJg0p13qT/pKhJg25nrXe\n", "3gNs1zS71ptmJENN6gjXepMMNamTItgceCfwLsrDlQH+DJxBmb1d4k3d6iJDTeow13rTTGOoSTNE\n", "BM8G3k15BN0mTfMfgW9Qbgu4plZtUlsMNWmGiWAd4L9TZm+v6Nn0U8rs7cxMHqlRmzRVhpo0g41Z\n", "622DpvlOcK03DSdDTZJrvakzDDVJT2huC9iVEm5vBtZuNv0eOBE42Zu6NcgMNUnjWsFab49TFjQ9\n", "ATjf2ZsGjaEmaULNWm97UK6cfCOjN3U7e9PAMdQkrbIINgXeTrmpe2T2tozR2Zvn3lSVoSZptfXM\n", "3t7F8o/kupkyezvJ2ZtqMNQkTUnP7O0I4DlNs7M3VWGoSWpFM3vbnXLubbzZ28mZ3FKpPM0Qhpqk\n", "1k0wezuXcmP3eZk8Wqc6dZmhJqlvemZvI+fe1mo23Q2cBpwKLHbFALXFUJM0LSJ4BvC25muHnk1X\n", "Ux6q/K1Mbq9Rm7rDUJM0rZqnluxECbe/AZ7WbFoGLKDM4M7O5I91KtQwM9QkVRPB2sB+lIB7HaOH\n", "J/9Mee7kGcAPXPNNq6paqEXEm4C5wHbAyzLz8qZ9K+DXwJJm159l5lHjvN9QkzqkeSzXm4G3AK9i\n", "dEHTPwHzKAH3w0werlOhhkHNUNuOcrjhq8CHxoTavMx84Ureb6hJHRXBlpQ13w4BdunZ9ABwNvA9\n", "YEEmD1UoTwNsqtmwxmTfmJlLMvO6yb5fUndlcmsmX8hkV2Ar4CPA5cCTgcOAs4C7IvhuBG9pls6R\n", "pmzSobYSW0fE4ohYFBGv7FMfkoZAJv+ZyWcy+StgW+A44DJgfeBNwHcoAXdOBG+L4KkVy9WQm/Dw\n", "Y0QsBDYbZ9NxmTmv2edClj/8uDawfmbeFxE7Uf4i2yEzHxjz2R5+lGawCP4b8NfAwcBujJ6Dewz4\n", "MXAmcFYmS+tUqBqqX/04NtRWdXtEJPCJnqZFmbloSsVIGkoRbE5ZFudgYA6wZrMpgYsoAXdmJjdX\n", "KVB9ExFzKL/zER8fhFD7cGZe1rzeBLgvMx+PiGcDPwVekJl/GPM+Z2qS/kIETwPeQAm4vRldvRvg\n", "l5QLTc4GrvZJJt1T8+rHg4AvApsA9wOLM3O/iDiYMgN7lHJ15D9n5rltFy6p+yJ4CnAAJeD2A9br\n", "2XwjJdzOAi7O5LHpr1Btq374cdIdG2qSVkME6wJ7AQdSZnJP79l8D+VeuLMptwr8aforVBsMNUkz\n", "TgRrUu5/e2Pz9dyezQ8BCykBNy+Tu6a/Qk2WoSZpRmueRbk9ZQb3RmDnns3LgIsphyjPzuSG6a9Q\n", "q8NQk6QeEWxBOTx5ILAno8+jBLiG0QtNfpnJsumvUBMx1CRpBZoLTfalBNwBwIY9m+8AfkA5F/cj\n", "H7o8GAw1SVoFzYoCr6YcojwQeGbP5ocpN3zPo6wqcMv0Vygw1CRptTXn4V5MWS7n9Sx/Hg5gMaOz\n", "uMs8TDl9DDVJmqIINqMcnnwdsA/L3w83cpjyB8AFHqbsL0NNkloUwZOA3SkzuNcBs3s2e5iyzww1\n", "SeqT5jDliygBN95hyisoAedhypYYapI0TZrDlPtTAm68w5TnMno15X9Nf4XDz1CTpAp6DlOOXGzS\n", "e5jyEeAnwHnAuZlcP/0VDidDTZIqG3OY8gDg5YyuDwdwA2UWdx7wk0z+PO1FDglDTZIGTASbUG76\n", "3r/53rua94PABZSAO8+LTZZnqEnSAItgFmXmdgAl5F48ZpdfMTqL+/lMX0LHUJOkIRLBMylrwx1A\n", "WUpn/Z7N9wHnU0Lu/Jm4woChJklDKoJ1KI/u2p8Sctv0bE7gEpqLTYArZsItA4aaJHVEBNtQAm5/\n", "YA6wds/mO2jOwwELM/njtBc4DQw1SeqgCDYA9mD0XFzvA5gfAy6iBNx84JpM6vzPvGWGmiR1XHPL\n", "wAsZPUy5G7BGzy43U8JtPuX5lEM7izPUJGmGieCpwGsptwvsC2zas/kx4D8oAfdD4FfDNIsz1CRp\n", "BotgDWBHSrjtB+wKrNmzy+2MBtzCTP4w7UWuBkNNkvSECDai3CqwHyXotujZ/Djwc0rA/ZABvKLS\n", "UJMkjavnXNx+zdcrgFk9uyyl3Bc3H1iQyT3TXuQYhpokaZVE8BRgT0ZDrveKymXApYweqrwsk8en\n", "v0ZDTZK0mppZ3PMZPUz5amCtnl3uBhZQAm5BJndOT12GmiRpinruixu54GSrns0JXEYJuPnAJf2a\n", "xVULtYj4DGUdoUeA3wLvyMz7m23HAodTTkq+PzMXtF24JKk/mlnc8xgNuNcA6/Tsch9lFjcfmJ/J\n", "He31XS/U9gZ+lJnLIuKTAJl5TEQ8HzgNeBmwJWWJhW0zc9mY9xtqkjQEIliP8tiukXNxzxmzyxWM\n", "XnBycSaPTL6vATj8GBEHAQdn5mHNLG1ZZn6q2TYfmJuZPx/zHkNNkoZQBM9l9Fzc7sC6PZv/C/gx\n", "JeDOz+TG1fvsqWXDGivfZZUcTnkGGZR7InoXvbuFMmOTJHVAJjdk8qVMDgA2BvYBPgdcA2wAvAE4\n", "HvhtBNdF8MUIDohYbpmdvpg10caIWAhsNs6m4zJzXrPPR4FHMvO0CT5qaB7RIkladZk8DCxsvj4U\n", "wWzKI7xeC+xNWU5nG+B9wCMRXMTocypbfxDzhKGWmXtPtD0i3k55wOaePc23ArN7Xj+zaRvv/XN7\n", "Xi7KzEUT9SdJGmyZ3AycCJzYrPq9M+Uw5Wsp11rs2Xx9Brg14rQr4YQH4Yob4f6Hp9r/VC4U2Rf4\n", "LPCazLy7p33kQpGdGb1Q5Lk5piPPqUnSzBLBJpRHeI2EXO+RwGXAJRC71rr68XrKAnb3Nk0/y8yj\n", "mm3HUc6zPQZ8IDPPH+f9hpokzVDNbQMvYjTgXgmsBUH1qx8n1bGhJklqNDd/7w5xjqEmSeqEQbmk\n", "X5Kk6gw1SVJnGGqSpM4w1CRJnWGoSZI6w1CTJHWGoSZJ6gxDTZLUGYaaJKkzDDVJUmcYapKkzjDU\n", "JEmdYahJkjrDUJMkdYahJknqDENNktQZhpokqTMMNUlSZxhqkqTOMNQkSZ1hqEmSOsNQkyR1hqEm\n", "SeoMQ02S1BmGmiSpMyYdahHxmYj4dURcGRFnRsSGTftWEfFQRCxuvo5vr1xJklZsKjO1BcAOmfli\n", "4Drg2J5tN2TmS5qvo6ZU4QCLiDm1a5gqxzAYHEN9w14/dGMMUzXpUMvMhZm5rHl5CfDMdkoaKnNq\n", "F9CCObULaMGc2gW0YE7tAlowp3YBUzSndgEtmFO7gNraOqd2OHBez+utm0OPiyLilS31IUnShGZN\n", "tDEiFgKbjbPpuMyc1+zzUeCRzDyt2XYbMDsz74uInYCzImKHzHygzcIlSRorMnPyb454O3AEsGdm\n", "PryCfS4EPpSZl49pn3zHkqTOysyY7HsnnKlNJCL2Bf4JeE1voEXEJsB9mfl4RDwb2Aa4cez7p1K0\n", "JEnjmfRMLSKuB9YG7m2afpaZR0XEwcAngEeBZcA/Z+a5bRQrSdJEpnT4UZKkQVLliSIRsW9ELImI\n", "6yPi6Bo1rIqIODkilkbEVT1tG0fEwoi4LiIWRMRGPduObca0JCL2qVP1qIiYHREXRsQ1EXF1RLy/\n", "aR+mMTwpIi6JiCsi4tqI+F9N+9CMYURErNlcFTxykdVQjSEiboqIXzVjuLRpG7YxbBQR32seHHFt\n", "RLx8WMYQEc/reajF4oi4PyLePyz1j2hquiYiroqI0yJinVbHkJnT+gWsCdwAbAWsBVwBbD/ddaxi\n", "ra8CXgJc1dP2aeAjzc9HA59sfn5+M5a1mrHdAKxRuf7NgB2bnzcAfgNsP0xjaOpar/k+C/g58Mph\n", "G0NT2weBbwPnDNu/paau3wEbj2kbtjGcChze8+9pw2EbQ1PbGsDtwOxhqr+p40Zgneb1GcDb2hxD\n", "jUHtCszveX0McEztfyQr+SX0htoSYNPm582AJc3PxwJH9+w3H9ildv1jxnIWsNewjgFYD/gFsMOw\n", "jYHycIILgN2BecP4b4kSak8b0zY0Y6AE2I3jtA/NGHpq2Qe4aNjqBzam/HH9VMofFfOAvdscQ43D\n", "j1sCN/e8vqVpGxabZubS5uelwKbNz1tQxjJioMYVEVtRZp2XMGRjiIg1IuIKSq0XZuY1DNkYgH+l\n", "XC28rKdt2MaQwAUR8cuIOKJpG6YxbA3cFRFfj4jLI+JrEbE+wzWGEYcApzc/D039mXkv8Fng95R7\n", "mv+QmQtpcQw1Qq0zV6Zk+dNhovEMxFgjYgPg34EP5Jib4IdhDJm5LDN3pMx2Xh0Ru4/ZPtBjiIjX\n", "AXdm5mJg3FtZBn0MjVdk5kuA/YC/j4hX9W4cgjHMAnYCjs/MnYAHKUeKnjAEYyAi1gZeD/zb2G2D\n", "Xn9EPAf4B8oRsC2ADSLisN59pjqGGqF2K+U48IjZLJ/Eg25pRGwGEBGbA3c27WPH9cymraqIWIsS\n", "aN/MzLOa5qEaw4jMvB84F/grhmsMuwFviIjfUf663iMivslwjYHMvL35fhfwfWBnhmsMtwC3ZOYv\n", "mtffo4TcHUM0Bih/VFzW/B5guH4HLwUuzsx7MvMx4EzKKanWfgc1Qu2XwDZRlqhZG3gLcE6FOibr\n", "HMqJTZrvZ/W0HxIRa0fE1pSbzi+tUN8TIiKAk4BrM/PzPZuGaQybjFwJFRHrUo6/L2aIxpCZx2Xm\n", "7MzcmnLY6MeZ+bcM0RgiYr2IeHLz8/qUczpXMURjyMw7gJsjYtumaS/gGsp5naEYQ+NQRg89whD9\n", "DijnznaJiHWb/z/tBVxLm7+DSicL96OcLLwBOLbmicuV1Hk65bjvI5TzgO+gnOi8gLLczgJgo579\n", "j2vGtAR47QDU/0rKOZwrKEGwGNh3yMbwQuDyZgy/Av6paR+aMYwZz2sYvfpxaMZAOR91RfN19ch/\n", "t8M0hqamF1MuNrqSMkvYcJjGAKwP3A08uadtaOpvavoI5Y+JqyhXo67V5hi8+VqS1BlVbr6WJKkf\n", "DDVJUmcYapKkzjDUJEmdYahJkjrDUJMkdYahJknqDENNktQZ/x+D7t58HJ2adQAAAABJRU5ErkJg\n", "gg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/optimaltransp_5_entropic/exo4" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the barycenter." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAATQAAAE2CAYAAADvSW6UAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAG/RJREFUeJztndmSG0eyBUlRGlHcm/tO/f9fiRT3fRO16z6N2aTPXJyO\n", "zioAHXR/CwNQKGRVh1W7RUSe/Oeff06IiHTgm12fgIjIUpjQRKQNJjQRaYMJTUTaYEITkTaY0ESk\n", "DSY0EWmDCU1E2mBCE5E2fLvmwU+ePDm0IXzzzTd8vXQ8uxrmWHv90vGr1zsxe7zZ9Thu9+Psem37\n", "81zfv//+m6//1wF9QhORNpjQRKQNq/7LyX8xZ//lrMJH1rW/b9/o9i/Vtq/fvv3+pVl7PXehBHxC\n", "E5E2mNBEpA0mNBFpw9plG1PxrMNI/8Ov/frSpPWYfb3Kvjmmbo5024559vP74OR8QhORNpjQRKQN\n", "JjQRacOqDm3bzDo7xqlubmnHRiexdFz9/lmOu2Pbt1atpeu6qs516fttDXxCE5E2mNBEpA0mNBFp\n", "w145tOr/4FUHxvjUqVOl91d7U6vOjRxifMrG19P7l3Ygu3Z25LjVGa79/dXrX72f0uvbwCc0EWmD\n", "CU1E2mBCE5E2rOrQlv4fetaRffvtt6XX0/ur38/zT68Trudff/01xHQYfP3PP/8sfX7fekdJuh+q\n", "rP17t+2UqueTnFm6v8isUzuK4/UJTUTaYEITkTaY0ESkDVutQ6vOT6o6Mzqv7777bipOx+Pr//rX\n", "vzbG/Dxf5/GSE6KjoCP77bffhvjXX3/dGP/xxx9DnBwb40T1+tMxMuZ6JidZdY7V358cJ5mtE1y6\n", "F5P3W/q9aX1J9fceBZ/QRKQNJjQRaYMJTUTasFe9nCQ5tOS4ktP6/vvvN37+9OnTG+MzZ84M8dmz\n", "Z4f43LlzG1/n8Xh+dEKETuL3338fYjqyT58+DfHHjx83vv7LL79sPP6sU+P15Prz+vzwww8bY65f\n", "cjzJMX758mWI6RhTXV+1bjA50erxqr2WyXGuPd9vCXxCE5E2mNBEpA0mNBFpw145tOTMUu8lHUpy\n", "VMmJnT9/fogvXrw4xAcHBxvjS5cubTweHRCdUXJodCh0XHRgHz58GOK3b98O8Zs3bza+TudGB5Uc\n", "Eq8vfy/Xn+vNmOvJ68n7h06K6/P+/fuNMX8/nVvVkaW6N55vcmzJcVbPr+rQeL15/y5dV/e/8AlN\n", "RNpgQhORNpjQRKQNx9qhVevOWAfGmM7r2rVrQ3z9+vWN8ZUrVzYej99Hh8bfk3o5q3VVyaG9fPly\n", "iJ8/f77xdTomOhw6DzpPOrDLly8PMdef60unxvVMDo11d3SI/P2vX78eYq5ncorJaXG9eL4p5v3O\n", "68GYn+ffX6orrDqz1Cuajn8YfEITkTaY0ESkDSY0EWnDTh3a0nVnqa6JDotO5ubNm0N87969Ib59\n", "+/YQ06GlurNUF5fmvaVePDoROjSe34ULF4aY68P1TPPaWKfF8+P14PrfuHFjiG/dujXEV69eHWKe\n", "/6xDY+8tnSZJdVupjqzae5nq1ujI0vVKjo0kJ5Zen+0NPQw+oYlIG0xoItIGE5qItGGv69CqdWdp\n", "fhZ7LenEfvzxxyG+f//+ENPp8HjJmVVn4CeSY0nzw9I8uORI0gx5OiQ6PDrI5Cjp0Oi8qr2cdHq8\n", "Hpx/9vnz5yFmLyjfT2b3EEh1a8k5J0dLUl1hdX5aNSb2corIV4UJTUTaYEITkTZs1aGl/5ln69Do\n", "iFinRCfDOrMHDx4M8d27d4eYvYXJmaV9JZee0U5Hw/Xi96c6obRnQepdpFNi3RnXk44s9W7SgaW6\n", "Pp5fqsvi9U3OjutNZ0eq8794/VIdXLq+ZLZObtaRLYFPaCLSBhOaiLTBhCYibThWvZypDo1OhfO1\n", "WEd2586dja/T8aT5W9V5ZomqY0l1RslppN7QNG+NzoxOiteDceqF5fVNdXTp/kp1jKmOMNV5VZ1R\n", "1TnNOqrZfULXrjs7Cj6hiUgbTGgi0gYTmoi0Ya97OekkUh0a64RY18R5Z5y/xbqnNG8r1T0t0Zu2\n", "ieTAqs4iORM6tC9fvgxxqlOjM6OT5PVL652cZVqf5ByT002OdHbfyapD4/mkeW50hrz+dKL8+0u9\n", "xLvAJzQRaYMJTUTaYEITkTbsVR1atS6NToXOiw4t7fNYnWe2dN3R0qTj8/ek+VtcX9ahJefGz1fr\n", "zKrzvarOqjrTP+2TmXohq8zWpaXeYq5vqrubrUtbA5/QRKQNJjQRaYMJTUTasNN5aOn15NTouOho\n", "2BvIPQBS3VN1D4BU91RlaSeXzpe/lw6L+3ayjiztE0lHluaLpfWv1p0lJ5bq6Bjz/WnfzOr8sMS2\n", "nVqar7d27+ph8AlNRNpgQhORNpjQRKQNe9XLmZxT6lWjg6GjocOp1pklZp0ZWbpuJx1vds8GQseU\n", "nFyqO6s6m1RXx/Njb+qnT582xtyXk8dL+3QmBzg7T49Ue6XXdmhr4BOaiLTBhCYibTChiUgbturQ\n", "Uu9cqhsi/J+eDibNz1p6JnyVXfd+pt+bej1TXRV7/ehc6DB5vdL1IanOjHVknz9/HuL3798P8du3\n", "b4f43bt3Q0ynlvYprc6vI+n3V+sgZ/fFre5hkajOj/tf+IQmIm0woYlIG0xoItKGvapDS/sCpt64\n", "6v/c6fOz/9NX66S27dSSc0n7orIujQ4lOaRqnRNJTo91YawbozN7/fr1EL969WqI37x5M8R0aPw+\n", "nk/qRU3z3Ja+/5JDS05ttg5t6brNEyd8QhORRpjQRKQNJjQRacNOHVpyIGlmO3vl0jwrvp6OnxzO\n", "bK/drAObdXCk2utHkkNL70/fnxwr74fkzOjInj9/PsQvXrwYYtahcU+F5AwTfD9/X1qv6nyxpZ3Z\n", "0vPNjvJ5n9BEpA0mNBFpgwlNRNqwV72cyaHRidGRsC7ow4cPG2PO82IvaKqbqs64J1XnsPbr1d6/\n", "5FSSg0yk+4X3B+eZ8XrTmT19+nRj/PLlyyH++PHjENPJktnrW51PVr2+yRmn+7taN7gNfEITkTaY\n", "0ESkDSY0EWnDqg4tOZnZfRPp0Di/is7kypUrQ8yZ9nQC/H72Ls7OU6vOt0rs+v1Vh5YcGdd/aWf2\n", "+PHjIX727NkQs3eT35fqAJPj4uucD8f7rboHRnJm/HtiXR3/Hqv3+y72GPAJTUTaYEITkTaY0ESk\n", "DXvVy1ndR5F1Z5xnRWeSnFmap8XPcwZ+tS5t13sWLD0Pa+n5WLz+dDysC0vX/+effx7iJ0+ebPw8\n", "nRkdFEl1WXRgrIO8ePHiEJ8/f36Ief/RofH7uJ68n7mnAh0krx8/n+6XXbD7MxARWQgTmoi0wYQm\n", "Im3YaS/nbO8Z69BYN5Tqdnh89orS0dB5sE4o1QXNOoalZ8qnfUrZ25r2PSXVOrTUu1t1po8ePRpi\n", "1p2lXk3OVyNpvXi/XL58eYivXr06xKyTpFOjQ+P3pflx6f7mevL6JYdd/Xte+n4+ccInNBFphAlN\n", "RNpgQhORNux1HVrq9aQT4Mz4NAM/OYVr164NMZ3GmTNnhrhal7Y0qVeQ50fHSEfD9V96n0Y6s2qd\n", "GXsvWWeWejW5R0Cab5Z6Lw8ODob4+vXrQ3zz5s0h5v1Fp0YHx/st1b2lOk6uL50c/95Yt8b1W9uh\n", "HQaf0ESkDSY0EWmDCU1E2rDVeWizdWip149OjP/jV3sDOU8rOQ06qtn5UWm+GI/Pujg6sXPnzm08\n", "X5Lq6NL143qnuj/WNbGuMDkz1p2xLi05szT/i+vJujE6stu3bw/xrVu3hpjO7NKlSxu/j44rzVtL\n", "zpnXn9eL1yP1Mqd5bFWH5r6cIvJVY0ITkTaY0ESkDTutQ6syu08jHQF79dIeBXRmdFbJoaW6oVQn\n", "RgfGujgen+dLB8jj0ZGkXtg0fyvN46o6Mzqyn376aYjp1NJ8Mzomrj/Xg3VldGR37tzZ+Drrzli3\n", "NuvMCNef14t/L7yf+f2pV5lwfRmvUZfmE5qItMGEJiJtMKGJSBv2yqFV/4ee3ZOA76dTY+8anRLj\n", "NC+M7+fMeL6fDozOhXVQnLdVnVGf5rul3ti0JwPXk84szTNb25nRMdJ53b17d2NMZ0bnlurMZusY\n", "+fvSHgjVfVD598HX+fmqQ1sCn9BEpA0mNBFpgwlNRNqwVw6tSnV+WvV4VSdA6KDo0Oi46GzSvKzk\n", "zFhnRidXrTNKziY5SNb1PX/+fIg5vyw5M+4JwO/j9aOj4nqxFzM5M9ad8XrRmVXn51XrzNL1YO8y\n", "14u9zNynk++no2SvaOrlTRzFsfmEJiJtMKGJSBtMaCLShr3aU6DqDGZfr9bt8PzSPCjWdVX3aaST\n", "Yd0ZHQ2dWaqbS3VOpOrMOH/sxYsXQ0wnRmfGOjR+PjkzOkI6M84nu3fv3sY49WZW95xIjrJ6v7Lu\n", "j73JvB6c90enSUfJukH24vL7k0Ozl1NEZAMmNBFpgwlNRNpwrOvQZln6f/pUd0anwt5KxnRuaZ7Z\n", "7B4HJPVm0tFwX9TkzB4+fDjEyZmxTooOKTkzOrD79+9vjKvOLPXCVtc79Vay7otOkXVkdGJPnjwZ\n", "YtYBsreWzo3fR6e6jd5N4hOaiLTBhCYibTChiUgbviqHxjqftO9kmvlfnX+W9iRI88l4PH5fml+2\n", "tjNjHVNyZoy5hwCPT4eUejOTM3vw4MEQp97MqjOr1pXRQaVeTNaBcb04H45OjM6M14sOk06O5zPb\n", "u7kEPqGJSBtMaCLSBhOaiLShlUOjs0gxHRmdU3VfTPZmMuaeANW6stn5ZWTpOjM6GToy9mrS6dDR\n", "JGfGXlY6Mzqy5My4B0ByZmmfzDRfj46MdWVcf64PezPpzOg0ud6sQ+P7eTyeT6o7m+UodaE+oYlI\n", "G0xoItIGE5qItGGvHdpsHUtyZnQydCTsreQ8MjqXGzdubIz5fs4/W3rfxmrd02xvJh1ZcmY8Ph3e\n", "0s6MewKkPQCqdWapF5O/jzP5WVdGZ8Z5ZGmeGev6GLO3k06O90Oad7YP+IQmIm0woYlIG0xoItKG\n", "nTq0VCdV/XxyZqzjYp0XHQodC/dtZExnlvbRTHVodDhpJj1JzowOhw6FjqXqzFjnxONv25mlOjPe\n", "D7O9mcmZ0ZFx31I6MjpMOjPGfD/ryjhfbnafzVnn7Z4CIiL/gQlNRNpgQhORNux1HVqVVGdGR8K6\n", "MjowOhvu48j3p30z6cyqvZr8fSTNoKcjqfZmru3M0r6Zazuz5ChTb2baJ7O6b2nqxazWlaV5Zjz/\n", "peebzTrzw+ATmoi0wYQmIm0woYlIG1Z1aKlObBY6Djqn5MzoaOhgOC+L7+fx6GhYV8b5ajzf2X0c\n", "U50ZnRmdS3JmnG9WdWbsPaVTTM6MewJU55lVnRmp9sam+Wapd5N1aezlZMzry+PTmVX30Vy67mwN\n", "fEITkTaY0ESkDSY0EWnDsapDS72adFR0NHQsdGZ0NKxDY28nj8/5Zawro0Pi+SeHk2bSV50ZHVja\n", "N5PvT/PM+HvptNgLy/VnzOvFOsClnRmdEuu0uP78/XRWvD6sS+PrdG48Hr+Pzi7NL+PvSw7tOOAT\n", "moi0wYQmIm0woYlIG/baodGZpbozOizOI2OdE+uYUl0TezOTo0kz/2fna6U9AJIze/To0cY47QFA\n", "Z8Pfyz0ZuJ737t0b4uTMUp0Zr/9sXR+dGR0W41RXxpjzyBgnh0aHl6juW6tDExHZISY0EWmDCU1E\n", "2rBXewpU9wigs2LvJGf4s44s7QGQ9slknRnPL/WuVvdxpFNJewCwN5N7AjDmfK1UZ8bfy/VJzqw6\n", "zyxdj+TM1u7F5HqlfTQZ8/10bqxT4/nz9/LvIzkxOsPUu5nu72rv9hIOzyc0EWmDCU1E2mBCE5E2\n", "bNWhzf5PnfbZ5D6WdCzsvWSdFN+f5pfN1pUtPYOedWbJmdG50dlUnRkdJZ0YnRnr/ug0Dw4ONn4f\n", "HVFa/9SLmXotWSeWnBn3wWSc5pmx7oy/j/c/4f3JmNeTzjBRdWrbwCc0EWmDCU1E2mBCE5E27FUv\n", "Z+rdTA6AvYR0XmkeWXIAyclU309nQWfDmfKpN5N1Z3ydzo3fR2fG9aaj5J4KyZmxDo29tawbZF3h\n", "rDObnfFPh8nrw9fpxPh9hOvL38vfkxxsmq/G38s43R90wruoOyM+oYlIG0xoItIGE5qItGGvezmT\n", "QyPV3rzkGOjc2GuZegWrzowOhr1+nE9GR8ZeTNY9sY6K57e2M+MeAsmZsc4qOZpUZ8a6Lq5/cmi8\n", "P/h9dLJpz4nqvpfVOkaeb9r3k/cLX+f9w/Pj38cu6tJ8QhORNpjQRKQNJjQRacNWHVqqM6nOR0sz\n", "95OjorOhA+HxWBfE99Mh0HEkp0FnxrozOjLWldF5zM7P4vwx1o3RkdGpzTozOkzC9U7OiTHhenDP\n", "CJ4Pz3/tGfyz8/PSnhPsbWYvc/V+Zzxbp3aYz/uEJiJtMKGJSBtMaCLShr3u5az2VtIh0FHRGdCZ\n", "sE6MToGOh5+n40h1Z3QarAOqzpxnnVWqC2KvK50ZHRjnlyVnxrq15Gh4PtXrT8fD4/H7eHy+nva9\n", "rDqz2bqs5ATTfDfeL3Sa6X4nyZnxfLaxL6hPaCLSBhOaiLTBhCYibVjVoc06hlmHxjocOio6Jvby\n", "VWfY83h0CNUZ9amXkI4uOTPWUdGZcE8AOrM0z4zOrFpnVr3+dGaEjpNOjXVmdFLp/l277qza25nq\n", "0uhIkzPj+qfeWDo7vp6cJDmKc/QJTUTaYEITkTaY0ESkDXtVh1Yl1eUkp0YnQQdAZ5acT6oLqjqH\n", "5MhI2iMhzTe7ffv2ELPOLDmzai/gbF1WcoSMq85r1+9PvafVeWl0ZLy/6Rz5+VRHyZhOmn+Pyfla\n", "hyYiXzUmNBFpgwlNRNpwrBza7Mx1Oq3kDJIzS+dX7XXj68khpDosOhL27qVeTTqzq1evDjFn5tPR\n", "cf3SHgxVZ5L2nGCcrl/1+q79evX9vP95f6Q4OTPWcR4cHAwx6/rS/MB0PxDnoYnIV4UJTUTaYEIT\n", "kTYcK4dG0kzz1OuW6mDSPKdZp1d1BnQQaR5Y6tWkI1vamSXnUd0TgPD3VntD0z6vZNuOrfr+qlPk\n", "59l7y+vNmO+nQ0u9u/z74vW2l1NEvmpMaCLSBhOaiLRhr/blrH4+xcmZpV7Q5FiqziM5jKrTqe6r\n", "ef369SG+cePGENOZXbx4cYjpSDhfLJ1/cpqpbi85wzQDf3b+WmKJXsRNx6uSrkfqfeX9lHpBeT+k\n", "41frBA+DT2gi0gYTmoi0wYQmIm3Yqzq06v/QSzuzqhOrnm+1Liq9TofEuiD2btKRcZ5ZcmZpfhap\n", "1uVx/lvaZ5ROJtUxzcZrU3Vwa99/1eOl+zPVxS2BT2gi0gYTmoi0wYQmIm3YqkObdRTJySRHk5za\n", "rLNIr886J8K6IDo01qFxfhWdGfch5fHTngDJQfJ6cMY891jgTHo6Njq9VNdXdUhrOJ7/ZO19PdP3\n", "VecH8nrxevDzpHo97OUUka8aE5qItMGEJiJt2Ks6tCqpDi31BqY9BJJDWbrXjr8nOR46JNaN0akx\n", "5jyzNAO+Og8sXQ86mLTvI/dV5fkSXs9UF8X3k23XpSWqdWvVfWO53nSafH+ab0bWWE+f0ESkDSY0\n", "EWmDCU1E2rBThza7L+OsQ0u9n2mG/2xdWvX9qVcuza9K86ySYyKpronrmZwNHc27d++G+MOHD0Oc\n", "6uT4Oud1Vevqlnaqsw6pOg+Q65/q/t6+fTvE6Xrwes72Sh+lTs8nNBFpgwlNRNpgQhORNux1HVp1\n", "D4Fqb1rVqVXrxsjSdWtpZntyYrO9c9VeWtadsc7p48ePQ0yH8+bNmyFO+z6ePn16iKt1dnRuZO26\n", "tGrdX7XOjOv9+vXrIX758uUQv3r1aojp0NjrWe2dXqK31Sc0EWmDCU1E2mBCE5E27LVDqzI736k6\n", "DyvtS1l1asnJpeOlOrDkvFKczjetb6p7Yu8mnRkdD50YY/aqJudW3cdyaSdJZnszud50XlzP58+f\n", "D/GzZ8+GmA6N14/Xm39/1fmDR8EnNBFpgwlNRNpgQhORNuyVQ6vWnVXjqjNjnVJi7Xlqs3V3rENi\n", "XRjXJ+17yZifT3Vm7A2kM0sxHSZj1qElh1bdI2HtOr/qvrOpzox1ZU+fPh3ix48fb3yd68/ry+vP\n", "+292T4/D4BOaiLTBhCYibTChiUgb9sqhkVlnlhxTcmrpfJIDoDNJvYNV58Lfk+aL0akwZh0Xf19y\n", "aun7WffEuiY6Hr6fzi31rqb5b6k3N9X1pflq1X09q/PMkjNjLyyd2MOHD4f40aNHQ/zixYshZh0b\n", "69xSHdo2ejt9QhORNpjQRKQNJjQRacOqDq06z2npOPUi8n9+kuqu6GTSngTVuqVqbyn3taRDOXv2\n", "7BDTAfH8uY9ncmipd5DOjE6HzobOjHVP6f5KzjL1QrJOj+vHOrdU18brV63rS86M68X1fPLkyRDT\n", "mbF3k/cPr2+qY0x1aPZyiohswIQmIm0woYlIG/aqDq3qxJIjS86E0AFUZ+anXsgUp7o1Ohh+f3Uf\n", "SToO1o3NOjTON0sz69krSEfE38v1SvO30h4HdJB0gBcuXBji1CuaeoGr88x4fnRmXF86NMZcfx6P\n", "30eHmRzabB3aUfAJTUTaYEITkTaY0ESkDVt1aLP7DKbeumov5GxdG50B69LSfLTUi5gcGuM07yz1\n", "WrJO7MyZMxvPN/Vy0oHRqTFOjib1yiank34/664ODg6GmA6N65P2/SS8f3n+dGip7oznz5jrzeNx\n", "/bleXM99mH9GfEITkTaY0ESkDSY0EWnDyTX+j/03p06dGg5enbmeZvwv7aCq51M9X74/Obbq8dL6\n", "sHeT+1ZW66rSng10QKkXkA4m1Q2StH50XHRgrLs7f/78xte5XmneGqFjSs6PdWF0gKlujMdjnHpZ\n", "qw6tWodGDuHQ/0uS+4QmIm0woYlIG0xoItKGverlJNUZ79Xjpbqm1Aua6tyqewYkJ0eSU6s6ueQc\n", "k0NLM/DTvpIkXZ9E+v2sy0r7elb3+UzXr9obzPVMTivt05per8apl3ZNX/9vfEITkTaY0ESkDSY0\n", "EWnDTh3abG9nen+aD1atSyNVpzPL7Pms/Xu27UyW/r2zdY/VukGSnGR6vdr7TOeV6saqdWWz98NR\n", "7kef0ESkDSY0EWmDCU1E2rDVfTlnHc2sU5vt5VzamW2jLmfm+2dfn6W63rPXZ7ZOsNrrWz3f2fl9\n", "1XjWkS19fxxmvXxCE5E2mNBEpA0mNBFpw173ciaSM+D/3FUHt7YD3PbnZ4+3a+dHlnaas85u6ThR\n", "dZzp/q86ullnlv4+j4JPaCLSBhOaiLTBhCYibTjWDo1U55Ul1u7V3DcnNcu+/Z5tO7Z96/3d9zrD\n", "NfAJTUTaYEITkTaY0ESkDas6tLV7u9Z2AMfRIVTYN6ezbfbdse4bs3s8pOOl1w9z//iEJiJtMKGJ\n", "SBtMaCLShlUdWrVXMrFrJ7ZvDiixa0e0bWe6ttP62pzZ0sz+vad8cuKET2gi0ggTmoi0wYQmIm04\n", "edy8kIjI/4dPaCLSBhOaiLTBhCYibTChiUgbTGgi0gYTmoi0wYQmIm0woYlIG0xoItIGE5qItMGE\n", "JiJtMKGJSBtMaCLSBhOaiLTBhCYibTChiUgbTGgi0gYTmoi0wYQmIm0woYlIG/4Pvo/WpCpGK6sA\n", "AAAASUVORK5CYII=\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "imageplot(q)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 5__\n", "\n", "Compute barycenters for varying weights $\\la$ corresponding to\n", "a bilinear interpolation inside a square." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "run -i nt_solutions/optimaltransp_5_entropic/exo5" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bibliography\n", "------------\n", "\n", "\n", "\n", "* [Villani] C. Villani, (2009). Optimal transport: old and new, volume 338. Springer Verlag.\n", "* [Cuturi] M. Cuturi, (2013). Sinkhorn distances: Lightspeed computation of optimal transport. In Burges, C. J. C., Bottou, L., Ghahramani, Z., and Weinberger, K. Q., editors, Proc. NIPS, pages 2292-2300.\n", "* [AguehCarlier] M. Agueh, and G Carlier, (2011). Barycenters in the Wasserstein space. SIAM J. on Mathematical Analysis, 43(2):904-924.\n", "* [CuturiDoucet] M. Cuturi and A. Doucet (2014). Fast computation of wasserstein barycenters. In Proc. ICML.\n", "* [BauschkeLewis] H. H. Bauschke and A. S. Lewis. Dykstra's algorithm with Bregman projections: a convergence proof. Optimization, 48(4):409-427, 2000.\n", "* [Sinkhorn] R. Sinkhorn. A relationship between arbitrary positive matrices and doubly stochastic matrices. Ann. Math. Statist., 35:876-879, 1964.\n", "* [SolomonEtAl] J. Solomon, F. de Goes, G. Peyr , M. Cuturi, A. Butscher, A. Nguyen, T. Du, and L. Guibas. Convolutional Wasserstein distances: Efficient optimal transportation on geometric domains. Transaction on Graphics, Proc. SIGGRAPH, 2015.\n", "* [BenamouEtAl] J-D. Benamou, G. Carlier, M. Cuturi, L. Nenna, G. Peyr . Iterative Bregman Projections for Regularized Transportation Problems. SIAM Journal on Scientific Computing, 37(2), pp. A1111-A1138, 2015." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.5" } }, "nbformat": 4, "nbformat_minor": 0 }