{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Optimal Transport with Linear Programming\n", "=========================================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This numerical tours details how to solve the discrete optimal transport\n", "problem (in the case of measures that are sums of Diracs) using linear\n", "programming." ] }, { "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": [ "Optimal Transport of Discrete Distribution\n", "------------------------------------------\n", "We consider two dicretes distributions\n", "$$ \\forall k=0,1, \\quad \\mu_k = \\sum_{i=1}^{n_k} p_{k,i} \\de_{x_{k,i}} $$\n", "where $n_0,n_1$ are the number of points, $\\de_x$ is the Dirac at\n", "location $x \\in \\RR^d$, and $ X_k = ( x_{k,i} )_{i=1}^{n_k} \\subset \\RR^d$ for $k=0,1$\n", "are two point clouds.\n", "\n", "\n", "We define the set of couplings between $\\mu_0,\\mu_1$ as\n", "\n", "$$ \\Pp = \\enscond{ (\\ga_{i,j})_{i,j} \\in (\\RR^+)^{n_0 \\times n_1} }{\n", " \\forall i, \\sum_j \\ga_{i,j} = p_{0,i}, \\:\n", " \\forall j, \\sum_i \\ga_{i,j} = p_{1,j} } $$\n", "\n", "\n", "The Kantorovitch formulation of the optimal transport reads\n", "\n", "$$ \\ga^\\star \\in \\uargmin{\\ga \\in \\Pp} \\sum_{i,j} \\ga_{i,j} C_{i,j} $$\n", "where $C_{i,j} \\geq 0$ is the cost of moving some mass from $x_{0,i}$\n", "to $x_{1,j}$.\n", "\n", "\n", "The optimal coupling $\\ga^\\star$ can be shown to be a sparse matrix\n", "with less than $n_0+n_1-1$ non zero entries. An entry $\\ga_{i,j}^\\star \\neq 0$\n", "should be understood as a link between $x_{0,i}$\n", "and $x_{1,j}$ where an amount of mass equal to $\\ga_{i,j}^\\star$ is transfered.\n", "\n", "\n", "In the following, we concentrate on the $L^2$ Wasserstein distance.\n", "$$ C_{i,j}=\\norm{x_{0,i}-x_{1,j}}^2. $$\n", "\n", "\n", "The $L^2$ Wasserstein distance is then defined as\n", "$$ W_2(\\mu_0,\\mu_1)^2 = \\sum_{i,j} \\ga_{i,j}^\\star C_{i,j}. $$\n", "\n", "\n", "The coupling constraint\n", "$$\n", " \\forall i, \\sum_j \\ga_{i,j} = p_{0,i}, \\:\n", " \\forall j, \\sum_i \\ga_{i,j} = p_{1,j}\n", "$$\n", "can be expressed in matrix form as\n", "$$ \\Sigma(n_0,n_1) \\ga = [p_0;p_1] $$\n", "where $ \\Sigma(n_0,n_1) \\in \\RR^{ (n_0+n_1) \\times (n_0 n_1) } $." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy import sparse\n", "\n", "Rows = lambda n0,n1: sparse.coo_matrix((np.ones(n0*n1), \n", " (np.ravel(np.tile(np.arange(0,n0),(n1,1)),order='C'),\n", " np.arange(0,n0*n1))))\n", "Cols = lambda n0,n1: sparse.coo_matrix((np.ones(n0*n1), \n", " (np.ravel(np.tile(np.arange(0,n1),(n0,1)),order='F'),\n", " np.arange(0,n0*n1))))\n", "Sigma = lambda n0,n1: sparse.vstack((Rows(n0,n1),Cols(n0,n1)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use a simplex algorithm to compute the optimal transport coupling\n", "$\\ga^\\star$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from nt_toolbox.perform_linprog import *\n", "\n", "maxit = 1e4\n", "tol = 1e-9\n", "otransp = lambda C,p0,p1: np.reshape(perform_linprog(Sigma(len(p0),len(p1)).toarray(),np.vstack((p0,p1)),C,maxit,tol),(n0,n1),order=\"F\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dimensions $n_0, n_1$ of the clouds." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n0 = 60\n", "n1 = 80" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute a first point cloud $X_0$ that is Gaussian, and a second point cloud $X_1$ that is Gaussian mixture." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from numpy import random\n", "\n", "gauss = lambda q,a,c: a*random.randn(2, q) + np.transpose(np.tile(c, (q,1)))\n", "X0 = random.randn(2,n0)*.3\n", "X1 = np.hstack((gauss(n1/2,.5,[0,1.6]),np.hstack((gauss(n1/4,.3,[-1,-1]),gauss(n1/4,.3,[1,-1])))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Density weights $p_0, p_1$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "normalize = lambda a: a/np.sum(a)\n", "p0 = normalize(random.rand(n0, 1))\n", "p1 = normalize(random.rand(n1, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Shortcut for display." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "myplot = lambda x,y,ms,col: plt.scatter(x,y, s=ms*20, edgecolors=\"k\", c=col, linewidths=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the point clouds.\n", "The size of each dot is proportional to its probability density weight." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAk0AAAGiCAYAAAD6APKSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xec3FW9//HXJ4WEUAKE3hUplyYECBAsKAiIVKkiSryi\n", "QgB/oCJgufd6QQELcgUCSK9SjESKCNIFQugtIhAgQAiBBJJQ0z+/Pz5nyk5mdr9TdmZ29/18PA75\n", "znfO9ztnZpfdz57yOebuiIiIiEjn+rW6ASIiIiI9gYImERERkQwUNImIiIhkoKBJREREJAMFTSIi\n", "IiIZKGgSERERyUBBk4iIiEgGCppEREREMlDQJCIiIpLBgFY3QER6LzPbHtg3PbzB3ce3sj0iIvUw\n", "baMiIt3BzH4D/Kjk9G/c/cetaI+ISL0UNIlIw6UepgcHAsekc2cB8+NwpHqcRKQn0vCciHSHfSEC\n", "pt8VnTyj8JyCJhHpcTQRXERERCQDDc+JSMNpeE5EeiMFTSLSLczs18DxJac1EVxEeiwFTSLSbZRy\n", "QER6EwVNIiIiIhloIriIiIhIBgqaRERERDJQ0CQiIiKSgYImERERkQwUNImIiIhkoKBJREREJAMF\n", "TSIiIiIZKGgSERERyUBBk4iIiEgGCppEREREMlDQJCIiIpKBgiYRERGRDBQ0iYiIiGSgoElEREQk\n", "AwVNIiIiIhkoaBIRERHJQEGTiIiISAYKmkREREQyUNAkIiIikoGCJhEREZEMFDSJiIiIZKCgSUR6\n", "JDPb2MzOMrNXzOz9VF5J5zZudftEpPcxd291G0REMksB0TnAjl1UvQcY7e7PdXebRKRvUE+TiPQY\n", "ZvYZ4EFgx6WAI4BHgVmpPJrOLRXVdwQeTNeIiNRNPU0i0iOkHqYHgaH7ApcAQyvUnQ18C7ghHs4C\n", "dnD3f3V/K0WkN1PQJCI9gpndDey4L3A90L+L+guBA8gHTne7+xe7s30i0vspaBKRtpd6mSYuBbxB\n", "5R6mUrOBNYAP4+HGmt9UYGZLA+umh5Pd/YMWNkekR9CcJhHpCY4E+AbZAyZS3UNL7tHXmdlGZnYB\n", "8DbwTCpvmdkFZrZRa1sn0t7U0yQibc/MXgHWfRTYqsprHwW2icPJ7v6JxrasZzGz3YCxwBCADdP5\n", "5wtVPgL2c/e/N7ttIj2BeppEpCdYEeBTNVy4fsk9+qrUizQWGHIw8O+ScnBUGwKMVY+TSHkKmkRE\n", "+oYfkgKmqyn0MpGOr6ZD4PSDJrdNpEdQ0CQiPcEMgEk1XPhiyT36ojTp++sA/wNYuTrpueTr6RoR\n", "KaKgSUR6gpsBLqzhwqJrbmpQW3qidYElN6RjD1OpoueHUFhZJyKJgiYR6QnOBbiCSCOQ1WzgypJ7\n", "NJKZDTSzlVMZ2Oj7i0h7UdAkIm0vZfO+50Mi0/fCDNcsBEaRz9F0d6NyNJnZJ8zsV2b2MPAB8FYq\n", "75vZw+m5dlulNxn4+Hk6rJRbzL8Lz3+UrhGRIgqaRKSnOAqYfQOR6buzHqfZwP7AuHg4K11bFzNb\n", "wcwuA14CTiIyGSwxDBgWVQalcycBL5nZZWa2Qr2v2wgpceVVEPOWyiWacTrMabpKyS5FFqegSUR6\n", "hNTbtAcw6wYi03duw97ZqeQ27F2DDgHTHvX2MpnZ9sBE4JtLgB0K3J5uPiOVWencocASMa/6m8Cz\n", "6dp28Dvgo2uAQ+jY4/Q88DXg2nj4EXBGk9sm0iMouaWI9ChpS5WzgS90UfVu4KgGBUz/AJb6DHAx\n", "HXI/lfUiMYz4QDz8EPiSu4+vpx2NkDG55Vfd/bZmt02kJ1DQJCI9UgqejgD2pJC4cgaxSu7cRsxh\n", "SsNrE4FVDwUuAQZkvHYBETiliejTgE3c/d1621SvlLjyB0QKgiHp9EfE8N0Z7v7vVrVNpN0paBIR\n", "qSDNYfrmZ4huq6wBU84CYEfyPU6XufuoxrWuPtqwV6R6CppEZDFmNgjYD9gFGA6snp6aCjxOTN8Z\n", "6+5zW9PC7pdWwL20BNhEatvCBWKoblNgXsy1/qS7T25QE0WkyTQRXETyzKy/mR0LTCGGaw4DNiMW\n", "iA1Lx4el5143s2PNrH+r2tvNvgPYgdQeMEHMfzogDg34bt2tEpGWUdAkIgCY2WrAvcDvgRW3SAfj\n", "gbdTGZ/OfTouWSk9vDdd29vsDLEErl6HFQ53asDtRKRFNDwnIrmA6T7gU6sB5xNr+8vtUQYxznQT\n", "MQv7zTg1Cficu7/Z3W1thpTd+31g0CxgaJ33mwUsH4dzgWXcfX6dtxSRFlDQJNLHpeG1e4EdtgRu\n", "I7qQspgO7Ao8EQ8fAD7v7lkSdrc1M1sZeGsYjdvld0XgnThcxd3fbtBtRaSJNDwnIscAO6xGdQET\n", "qe5tQBqb2yHdS0SkV1JPk0gfllbJTQFW/CuwV433uRHYOw6nA2v19FV1Gp4TkXLU0yTSQ5jZlmZ2\n", "opldZ2YPpHJdOrdFjbfdjzTpe8862rYnHSaH71fHrdpCCmqeBni4Afd7pHD4lAImkZ5LQZNImzOz\n", "ncxsPJEf6VRiBfvIVA5I554ws/FmVu3qrF0gVndVmvSdqY3AqMLDL9Vxq3ZyB8DlDbjRZYXDOxtw\n", "OxFpEQ3PibSpNHR2JrFIjaHAQcD2wHqpzktEGoBriQ1rk/OAY7MMkZnZ08Bm44Ht6mzveCKKA55x\n", "983rvF23MrNVgMOBz6VT9wEXuvtbRXXyyS2fpev95ipRckuR3kNBk0gbSgHTDcCXBwL/BRwHLFWh\n", "/ofEtvQnA2ns51Zg364CJzObAQx7m+omgJczHVg5Dt9x9xU7rdxCZvYFYBywbMlT7wH7uPvdRXV7\n", "7TYqIlI9Dc+JtKczgS+vRPTg/IzKARPpuZ+nuin4+TKReFKKpB6mccCyOwN/TiWNaS4LjEvpBnKO\n", "A6bdT2y+u6CK11pADFmmgOnNdC8R6cEUNIm0mTQv6YiBRHfRVlVcu1W6ZmA8PDLDHKepEMN89ZpU\n", "cs82dTgpYLqNmLG+H7GRXlHgdHiusru/C3wV+PBKotfoxQwv8mKqe1U8/BDYz91nNqD9ItJCCppE\n", "2s8pEENy1QRMOVsRvU7F9+rE4wAP1fA6pSYUDh9rwO26y+cgJokV//Drl84lny++wN3HE5Pbpz1A\n", "zE86FPgHkUogZ1Y6d2iqU9TD9KV0DxHp4RQ0ibQRM9sS2G4o9Y3l/IB8bqHtukhHcDvE6q56Zjc6\n", "cEnh4T/quFVbSkHPJsBl88CvIpYdLk9k+l4xHe9C9C6lSd+XAZsoYBLpPRQ0ibSXXSFWyXU2h6kr\n", "S6V7FN+zgrHAjCeJveRqdRMpqVHMBx9bx626230A5wKLik4uIpYcJveWu9Dd300TuT9JpHl4GJj7\n", "DvntUeamc6cSq+RGaUhOpHdR0CTSXoZDpBWoV1EKgYqjfGl13S8hhqem1/A604HvFR7+qs2zgV8I\n", "vHcn0SuUmwi+C/kESu+lOhW5+2R3/4m7bwssA6ySyjLuvm16bnJ3vQERaR0FTSLtZQ0o5GGqx6dK\n", "7tmJs4AH3iS6pKoJnHIb9k6Lhw+ke7WtlIdpH1LgdEAqRQHTPtVspuvu89397VSU6Vukl1PQJNLH\n", "uftCInaY9ASxHcqNdD7HyVOdTwNPxKlJwP7pXm0t5WFaH/gpMafr9nS8fnGOJhGRUtXmahOR7vUG\n", "RAqAz9Z5o6IUAG90Vdfd3zSzzwHXvwk77E0ERKOAbSn0Wk0iVsldCjxVuPwB4AB3n1Znk5sm9Sb9\n", "KhURkUzU0yTSXh6HSFJZr6I0AplSALj7m8Ry++OA6U+lg5FEpu+V0/Fx5AOm6enh59O1IiK9mrZR\n", "EWkjKeXA40OJ7qFaV9B9SExkSvvRbenuT1bZjkFE3scvERPJV09PTSWCsH8AY9t80reISEMpaBJp\n", "M2Y2HtjuZGL7lFqcTCTHBB5y90YsxhMR6fMUNIm0mbT1yR0DiWG6arOCP0akLEhLuXZ29zsb2T4R\n", "kb5Kc5pE2kwKcs6bT+y6W82eJI8Bu5EPmM5VwNR6ZtbPzJZPRT9zRXow/Q8sPYKFYalYq9vTBMcC\n", "t04neo1OJuYpVfJhqrM9MCNO3Up9O7FIHcxskJkdYmb3AwuAd1NZYGb3p+cGtbaVIlItDc9JWzOz\n", "AUSy6qOBDdPp54GziZ6Uts8LVKv0S/X3wJEQe8kdRGT6Lk4B8BBwLflJ3xC7hBynSdrNZ2b9gZOA\n", "7wMr5c4vm/59r2P16cAfgFN78/exSG+ioEmaJgVAe1CYpvMYcLO7L+ik/rXAV6Gwkqyox2UscFBv\n", "/4WT5jidQoedUcp6CPiZhuRaw8yGANcAewJsAYwGvgYsnep8APwJOIcOea5uBL7m7h81r7UiUgsF\n", "TdIUZrYnMAZYs+SpKcBod19sv1gzOxo4azliM9X90vmxRNfTrHh4jLuf3T2tbi8pHcEuRNCZ2xrl\n", "DSL4vK3atALSOKmH6QZgz+WJyOlLQKVxZCdyNhwMpB19bwS+2tv/ABDp6RQ0SbdLAdM4oN8GwP7p\n", "/J+BF+JwEbHn101F1xjwHLDhNcSwVLFriV84xFDdf7i+kaWFzOxnwMnLA/cDG2e8biKR+T0FTj93\n", "91O6o30i0hgKmqRbpSG2V4A1TyD2rMitPlgE/AQ4PR5OAT6RG6ozs2HAjKWIHqXS/X4WAMuRH6pb\n", "0d3f6b53IVJZmnv2OrDSbURXYDVuI1Y8Am8Da2sumkj70uo56W57AGtuQMeAiXT8K2LnVGLY7itN\n", "bptII+wHrLQFMSRXrV2Iff6InWq+2rBWiUjDKWiS7rYVxJBcuW+2fsABhYdbFz31LvD8h8QcplJj\n", "yfcyPZ/qirTK6Nx/asmFYbkbFN1LRNqTgiZpS2mO0tkQk76vJYbkFqTjIwpVz9Z8JmmVlKxyJMQq\n", "uVodUjgcqQSYIu1L/3NKd3sMYtL3ojJPLgKuLzx8tOTpc4Gxs4hJ38ulcjD5lXNjUx2RVhkK2LIU\n", "0grUYmnyuZz6pXuKSBtS0CTd7WZgygvEpO/iwCk3EfzFeDgFuKX4wrT8+iDgGNJQXdGQ3DH0gRxN\n", "Iq1gZtua2WmpbNvq9oi0C62ek25XKeXA9eQDpsVSDpS5hwErpIfvakhO2kEaSlsA2PvU3tv0AbBM\n", "HC4CBrp7uY7ZpjCzU4ETS06f5u4ntaI9Iu1EQZM0RS3JLUV6grS/3A5/BL5T4z3+CHwvDu939882\n", "pmXVS71KDw2kMCN9DPkNoLdz9wmtaVn3MrOtgK/TMWnsle7+eOtaJe2oNP2NSLdw95vM7FYirUBu\n", "ldyjwC2VtlER6SHGADuMAQ6n+hV0TmyrUnSvVtoXImA6s+jk/xWe61VBk5l9ETgVGFHm6ePM7GHg\n", "JHe/q7ktk3aloEmaJgVHf01FpLcYC5z5JKz0D6pPbnk78HQcvg38paEtk4rM7FDgUqD/csAoCpHT\n", "w+mJWXHqdjMb5e5XtqCZ0mY0PCciUqfibVT+CWyS8bp220al3PDcOcSkLXrR8FzqYbod6H8C8F/A\n", "kJI6HwH/S37HgoXALupxEgVNIiJ1Kt2w909Ej1NnG/beTuR2arcNe/vCRHAzmwCMOAE4rYu6JwC/\n", "jsMJ7r5d97ZM2p2CJhGRBjCzIUS8tBfE1iijicSVuVV1HwBXExOXnipceiPwNXf/qHmt7Vzqcdo3\n", "Pbyht/QwQX7S96PLEbO9S3uYSn1EzA5PueG20uTwvk1Bk4hIg6Qep5OA7wMr5c6nxJW817H6dOAP\n", "wKnt0MPUV5jZGcBxxwK/z3jNseQnw5/h7j/snpZJT6DkliIiDeLuC9O8pLWITqb7AX+PfMDk6dwh\n", "wFrufooCpqZbA8ovl6ukKLtnacoU6WO0ek5E+qTUK7QmsHw6NROY0oggxt3nEkN1f0oJMHNbo8xu\n", "ZeJKEamPeppEpE8xs1XTarfJqTyRymRgspn9zMxWbdTrufsid5+ZigKm1nsDIq1AVkUTuqY0uC3S\n", "w2hOk4j0CWa2DHAWkfl5AMSko1x0NI2YZJTMJ+ZsH+Pu7zezndK9NBFc6qGeJhHp9cxsNSKF0mH9\n", "YMA+xJL/aURiyafT8e3APkA/GAgcBvwzXSu9hLs/Bjw8i8jD1JVfkA+YJihgEvU0iUivZmbLAvcB\n", "n14fuBnYoItrXgD2IL+h9FPAZ9Xj1HsUJ7f8MfDflE9u+QvyOZqU3FIABU0i0suZ2aXAYesDD1CU\n", "B6AL04EdyAdOl7n7qMa3TlqldBuVwyiskpsAXEa+h2khoG1UBFDQJNIjmNkKwLeAg4HccNGbxAqt\n", "S9393Va1rZ2lCd2v9YOBz9F1D1Op54GNgUUxx2ktd3+r0W2U1kk9Tr+iQ1aBDiYAP1EPk+QoaBJp\n", "Y2lZ/C+B/wcMrlBtDpF776ftmvPHzJYEhqWH77j7xxmuWQrYk8h5BPA6cJO7f1jF6/4MOHkfYo+T\n", "WuxDfofpn7n7L2u8jbQxMxtOLBDI5WGaAlylOUxSSkGTSJtKAdM1wP4AuwJHAFul5x8DzgNuK1zy\n", "Z+DgdgmczMyAnYjdRPYC+qenFhJbh5wD3OUlP4TSxOsTiY3nl6Wj2cTIyWnu/mYXr9+fSCOw5u3A\n", "l2p8H7cTnz0RtH2iXT5fEWk+BU0ibcrMTgNOGEr0dHy+Qr17gb2JaAI43d1LN1ttOjNbHRgHbAOx\n", "THeV9NxbQFGyooeBfd19arpuYyIOXBNg+1QAxqeSTAF2dfd/ddKGdYDJKxEr42pdKryISEuQ0hGs\n", "6+6v1ngrEenhFDSJtKE0h+kNYPA9VA6Ycu4FdozDOcAarZzjlAKmB4F1VgOOBA6n40SsC4Fz0zHw\n", "KjCS2GLkEWCNHYCzgS1K7v0kcDQxoZsInEZU6nEysy2AJzYjUgrUY3PgmTjc0t2frPN2IpKRmS0B\n", "4O7zWt0WUJ4mkXY1Chi8K10HTKQ6u8ThYGIhUEukIblxwDojiGDl5xQCJtLxz9Nzaf+vdYgpRyeS\n", "AqZ/sHjARDr3D2JVG9EbdUKj34OItJaZrWNmvzSzqcBcYK6ZTU3n1m5p29TTJNJ+zOwRYOsbiInI\n", "WYwD9o3DR919m+5pWefMbCfgjtWIoGjFLurPIHpxUlfRh8BST1A+YCr2JLBlHM4metYWmxyu4TmR\n", "nsfMjgbOJM2BzG2Qu6BQZSFwrLuf3ey2gXqaRNrValCY9J3F8JJrW+QoiCG5rgImUp0jCg+X2p6u\n", "AyZSnTTXaSixwq6cKcCU6cCdGe5ZyR3kA6bX0d5jIt0mBUxnAf0PBu4H5qVyP5FvhQimzkp1m05B\n", "k4g0REorsFc/Yg5TVodT+EG0dRXXbV84XKvc82mV2/kAY6q4b6mia8/XyjmR7pF6hs8EuIBIQLcD\n", "YKnskM5dULjkzFYM1SloEmlPb0KkFciqKKFMp0vxu9EwoP8qVNfVtTqFlXVzGt4kLgTm30hsjVKt\n", "54Gb4nB+ulevYGb9zEw//6WdfJfUw9TZH12HAwfFYf90TVPpfxqR9vQniDxMWZ1bOLy6wW1pmmqC\n", "xKL0A69XquPu04CrFxF7yU2v4v7TiXG/lB7h6p6eDdzMljGzo83sGWKKyAIzeyadW6bV7ZM+71sQ\n", "q2O7UlTnP7upLRVpIrhIG+qJKQfS8Nz7/aD/FLL3Nk0lxtdyuZuyTAR/gvwcrooTwYvatQzwT9KG\n", "vTcBG3Zx/+eJgCntO/ck8LmevGGvmX2SyNO5XoUqLxEb0r7cvFb1LClZ6tD0cLaGahvHzAYBcwYQ\n", "85esi/oOLEF+cvigZqYjUE+TSBtKQc//QSSuvLeTurnklsn/tTBH0xzgvkVUN451IfmA6SWIvyI7\n", "22PlYzr8pXlpV9uqpGDny8BTLxJ7ye1DRBBFSTZZlM7tk+oUBUy79/CAaRlSwLQpcD3xhZqTjjeN\n", "ausBt6nHqSMzW9vM/tfMHgTeB95J5X0zezA919Il8NJk7q6iotKGhRizv574w8p3Ab8B/NVUbkjn\n", "KJTrgP4taOdgYtXcxFxbVgOfDu5dlOmpbrpuf2KozXcAf6JM/cfBRxbqvw6s1sln9wXgm6l8gegl\n", "uJT4Y9YBXwl8s1RW6vhZzkt1l2n190EDvj5HA74p+HtlPtP30nPpfR/V6va2QwGWAy4ilrfnvy+G\n", "pkLHsjDVXa7V7e7Jheh09vsz/Nz4Z+Gzn9r0drb6g1JRUalc0i//04gOltIf1rnycarTioBpGDG9\n", "yAFfBXy5dDyii8BpeqpT8j4eJNI3OeDbg/8gle061n0d2LhMe5YBTiKyjJd+TpPTc+sBP80FaCXl\n", "tfTcqq3+2jfwa/QM4Nd38rW4rvD+n2l1e1tdiK1/pgA+EPxg8FvBZxR9XjPSuYNTnfTZTQG2aXX7\n", "e2ohNib3gzMETQcVPvNTmt1OzWkS6QHSHKdRwNfouCPJ1cBl3po5TIOBu4Dt1wZ+QyTXnE7sifJq\n", "augRxIqX1dN1U4khufPodJnfB0Reu8El52cTPUCne8n2KWa2BvB30ojTJ1M7ICKxosk6zxDDddOI\n", "rOLLp/MzgSnei+aqpBVyCyGG4wZVqDeX/AftwAB3X1Shaq9mZtsQ39NLbwdcAmzUxTX/JmYwPxQP\n", "PwC+6O6PdF8re6c0zPky0P8CKq+gu4D8krmFwCfd/bVmtC9HQZOI1MTMjgLOXpsIStYoem4qEUA9\n", "nB5X2rB3BPBVYv+UZYkunovokB7gQWLu9kKiZ+gmL5/9e5lUd9MNiWQvu1CYtJmbr3QsMcmbCJx2\n", "8B48VymLFDQtAExBU+fMbDngWWCNg4ArgIEZr50PfAO4Nh6+AWzq7rMa38rerSi5JQcR48ppyyQe\n", "IPajvLZQ/RhvRVbwVnfJqaioFArR67EjMR95n3S8fKvbVaadRprDdG2FLvRF4HeAfxW8X9EQWP90\n", "7s5Ux9MwHOAXpHN/AV+6cM2fgH5dtOckwDcsGUYpLTPANyjc92RgiVZ/lk34Wml4LtvndBFpGHhe\n", "hiGi0jIPfNvC53hhq99PTy1ErLQg9/NiQCoUygLg6Ja1r9UfkIqKSn4exSWUn7v0cXqubeZLEMm7\n", "fdWMv2BmUZhoXW6i5xXpuS2KAqnHwJcpfAY/6KQt/UlzmG6t8Pofgl8Mvs3in60THWLfApZs9efa\n", "TV8rTQTv+jNaG1g4EPy5GgKmXHmu8At+IbBWq99XTy3p63EKaXJ4KlPTubVb2TalHBBpITP7RFrO\n", "/DAxZ2nwCGCvVEZEtcHpuYfTMud1m9/SxawFsC3ZhjCGUtj25O0yz+9PzOB+suj54cTkpeQ4MxtQ\n", "el3yOWDt9YghuWLzgZ8TE5f+E3iEiLBWTKV/VNsGuBh4w8xONrOsozI9xWXAS88Sc7yuJ20bn45H\n", "EmNSwCTg8pa0sPUOB/rtR9dzmDqzEbBfHPYDvlN3q/ood3/N3X/m7qsTo8qD3H31dK6pc5hKKWgS\n", "aREz24JYebb9CsCPiNxAE4C/pjIhnfsh+dnK2wMPpWt7jcEU5kTNKDq/D7BBHK5J5Y1514L4YIp/\n", "oH1ABJ6nEDO8RxBB2PvEZPXp6fhSImoiPuKfATea2dI1v5k24zFvaxdg0rPAgcTnPTgdFwVMu3ov\n", "n+PViZ0BDmvAjYrusVMDbtfnufs8b2Lyyq4oaBJpATP7BHAbsMrOxJKR3wCfKlP3U8BvgVfI/xRe\n", "Bfh7i3ucXocI6uZnqDyPwqTwajIB9gOOLDwcnfW6+UTv1d+JHqW7ibYeBixZVG/JdO7hVGfFOL0b\n", "cH0nPVs9jkem7+HEUN2zFIY8nk3nhnsV2cDNbKiZfd/M/pLK981saNdXtp+U6XsLyPfs1qXoHluk\n", "e0svotVzIi2QhuS23xm4hdgSIIt5wO7AnfFwvLuP7Kx+dzEzI37hbnwt0WPRmWuBg4FNiFnJpdsk\n", "zAFWJnp+plFYaQeRfjkFM3PcfcmSSzGzLwB3rUesuutHDMmdkq57gHxvVZdeIFbrpN6uU9z95xkv\n", "7VFym/V6Davk0rL8v5H/suTNILKn96jl9imdxztDgUYtd1uOyI0BDPPWZeiXbqCeJpFuZGbDzGzP\n", "VIalc9uQhuT+TPaAiVR3LIWhunSvpvP4a2sMwPHEGutK3gB+nI5HU35fqT8TAdOWRPBUbAXy86YG\n", "p9xQpe4DXnuJSCvwEXBOeuJ6sgdMpLrXFR4elfbT63XcfVGNAdNQUsCUy2N0CTG3jQiibumpPU4i\n", "WShoEukmqQfkReDGVF5M50ZDTEyu5bfLUDps7X1kxYrd7yJg/GvEZOJriZ6wnHnp3Egizfb2VN6S\n", "fEz6t1JQ1RmPZJTnQeRhuoiYw7QN+U2Mq/IFYmkgEZseVMMterPDSAHTfcTqhFHEbsgpcFqJ2Lam\n", "J5kNfDwbaESX0Dvke5k+KhxKb6GgSaQbpF6lscDyWxI9KMQv4b8QI1UcUcf9i679mpktX7lm93H3\n", "OcTk7PGvEW9qHWLz4L3T8cEUAqabWDy9N8D5xGz4oUS681Lvkp83NSe9ZjlnA888T6FX66hq31CR\n", "omsrzqOysFwq1cZ6PdWOAN+j46rJgXT4nvxCMxtUrxR0PwmFeXf1KLrHk96LsstLUNAk0j1GkgKm\n", "R1NJgdNypLQC69Vx80/RIR3B5nXcqi7u/g7wRdKGvdModKtNI+YwnUPsSzGszPXnU4hKfg8sVabO\n", "FYXD+ztpygDSVKQ5RCqBruZZdeYgCukIzKzDCKqZ9TezI4k5XTNTedbMjuzNE3/NbHNgq1a3o5vc\n", "AZGboV5F97izAbeTNqOgSaQFVm3APYomS7ekpynH3ee4+xhgM2Jk66rcc8sQ26MUm0MEQtsTvROL\n", "iJ06v1Xm3osoDN11PCxIPW33Al/I5QlYno6r5Kq1JBHdJvnDFBRdndqy8ZKF19k4nbu6NwZOZrY3\n", "0YmyNsRYaPGqyfnpXHJ3E5vWKBcCi8YSe8nV6jmie5n41r2g7lZJ21HQJNI9HgRmPkFEEVsDT8T5\n", "D1rXpO7l4TF3P5SYvjT7IWJPrpWB/0hlZWLSy0PEkNzFwE8q3HMcMSmM2EH+pgrVrgY224iInLrZ\n", "d4EDhxKR4exUriI/P+1A8vuJ1sbM1jGzC8xsaioXmNk6dbW6vvZsTkxPG3QIMTF/AvBZIsfVpel4\n", "QlSfSRW/cyfcAAAgAElEQVQJMs1sVTM73Mx+ksrhZtaIvymqkhImXjqfCN6zpNEolbt2QTy8xN1f\n", "b1T7pI20Ol26ikpvLcTcjncp5MR5l5ir7CPq2KohV0YU7vv5Vr/XCu9/KSLT8pSiz8AB35LYZ+6D\n", "Tt7fY3TYf67sNirEcJEPBX8VfC6F/e0+quOz/SjdI732Eum18vvtXVXmmqsK9SeS0rnU8JmtQ4xs\n", "lm71Mg1Yp0Vfx8sBH0VscfMwhS1xypSbM95zJHANEWuU3mN+em5kk9/ncrnv1YOobv+5eema1P4p\n", "wHKt/v9PpZu+T1rdABWV3lyIqTx7pDKMGDn6GPBJdfxSf7HwA/pj2nBD35LPoB8xAd6HgF8EvrCT\n", "97YQfGzHgOlqKmzYSwyr+LFF1+f2l7u0js/3ksJrP1z0WssBvmSFX6jz0nPpupp+aRJDOv5Z8KdT\n", "+Wzhnn9swdduOWCugb9c9F5ngf8BfN9U/qvQxjmdvfcUeJ6UC5D6ge8JfkIqe9Jxc2fgxFoD0Brf\n", "7zZE9gvflmz70D1Hh41636eN9ohU6YbvkVY3QEWlrxUitY3/qI5f6j8s/JC+uNXvJ+N7HgT8KffL\n", "cAPwM8FnEL0Xi9Lx79NzRb80ryb2nSp3T8v9gvt30Wdzcbp2mzo+360Lrz+q6PW6DJoG1x80TSUF\n", "S7n7Pl2459QWfN2GA755hs9s80I7h3dyvxMBN/DjwV8rc5/X0v8bVhQ4Nfk9b5PrcRpA9CD9LX1/\n", "5to4I507iPwGvZ6uUcDUy0vLG6Ci0tdK+qHsKxB/sVf7C30W+PKFH9Rbt/r9VPG++wE/ILZgyQdG\n", "A1OhY3k91S3bw5TutxQpUCn+fD4s+nzuruHzvavQhneBJYterxnDc702aCKG5NzAr85wv6s7Bk6t\n", "GKq7EFhY/H05NJWS79WFqa6G5PpA0URwkSbz2GZi/LvEjujV7EQ5L10zMx6Od/dHG92+7uKRhfoM\n", "4BPAV4ll3nPmU8jDlM59FfiEu5/hNWStHkIhz9IBxNYoWb1Ah1QF57j7x0XtdyIfFKOJLrBc26+m\n", "Q0Kns1PdWtwC0f5nUinKGXVzjfesx8vA3GeIvQ87q/RMHM5ND8v5PsTG1OXycZX6GrFRdXJMhksa\n", "xt1nufvhwLrAycTCjo9zE/+JxJUPpufWdffD3b1Ru7BIG9PecyItkDbsHQ+sshOxTLmr7OCziYAp\n", "JX95C9jO3Sd3WyObJLc1ildOXFnpOgPeA5b+N7Bh0XPzgb0obNh7PV1nB7+HCLLSvnN/B/Z09wUl\n", "r5lLOXAgFNIafFyoch1wiNeY1DCtkptAx+33IL7e27r7q7Xctx5mdjnwjVHESsfSLJ5OLJW8NB5e\n", "7u6HlbnHqsDr/WDAZGCtjK/9GhFhL4ov6druPq3qN9Ag6Wuf+990dq1fY+nZ1NMk0gLu/gqwG/DW\n", "ncQvhh8Bk8rUfZH4i/sTdAiYdusNARNEsFRtwJSuc2IpfHGOICAyVF9PfMAziGWMI4hf7EUBDh+n\n", "c9ukOkUB0wGlAVN6zYXAIUTH0r8+LtzvX+lczQFTuv+rxI4kFwBvpnIBLQqYkt8Ccy8lgqPiHqdX\n", "6BAwzQV+V+EeewADvkL2gAkiKdTucTgw3aNl3H2hu7+bigKmPko9TSItZGbrEj0X2+fOjaDQzTAN\n", "KNkyfjzxi3lyE5rX9sxsOPDYUOBpUubFIvOB/yWykqchTfpTyFY5i5iQksxMVX9RLmAq89pGx56H\n", "xX6YpjrrEumNIOZJTa5j+K4lUnLLa4FBRmQxhRiSS29kLnCQu/+1wvU/AX55AnBala99InB6HP7U\n", "3X9V5eUiDaWeJpEWcvfJ7j6SiJUuAeY8TGRxvIl8wDQnPTfC3UcqYCpw98eBv88GdiWGc4oNJCad\n", "vEF0lwwmgqR3UkkB0yNEXsI13P3nWQKm9Nqe5r7MKg2C0n503yeSRL9MYTedl4F/mdn3zWy5xe/a\n", "nlIwNAK43GHu00SQ6hEsXU58b5YNmER6E/U0ibSRtCXI5hS2RpkJPO3uMytf1bcVbaOy2VBgFHAk\n", "hTlOzwPnEkNIaRLvs8C+xHyoWe5ezVz8LO05mugcGQIxpyo3JPUaEawlHwE/dvdzaniN4cS+uVuk\n", "U08C56cgslulYO+T6eHLWSZAm9nhwAV7EvsSVmNP8jPgv+PuF1Z5uUhDKWgSkR4v/SK/Gvhy7tzg\n", "9G/JZKlbieHNblnpZGa/IpI3shMxyWkvYjdhiOHCm4hN6op2c/2Vu/804/2XAC4CDq1Q5Urg240O\n", "BOvVGyaCi4CG50SkF0hDZLsT26pcCHwwh3zA9EE6t5W7796NAdPRwEkDiA2Jc7kTBhTVGUgh18IV\n", "hed+YmZHkc1FwKFDgOOA+1I5jtStFcHURfW8j+6Qgp2xi4CzqrjuLGLnW2CsAiZpB+ppEpFeJ03A\n", "TnEEH3X3xOvU0/UGMOQKKncDlbqC2LyYGKpb3d1nd/IaWwGPDiECpa1Knn8U+Hy6EREgdvtQXTXM\n", "bCTwgBEbHHeVq+lPwNfJTzQf6e7ju7N9Ilmop0lEep00SfvDVJrxl+E3gSE7kT1gAvgG8MU4HEI+\n", "fqrouxATmUoDJoCtcxXC96poRlO4+4PASU4EQ8cTad9LvZaeKwqYTlLAJO1CPU0iInVIvVrPARuO\n", "JYbfqjEW2D8O/w1sXCnIM7MJwIj7gM9WuNd9RG8TsdHwtlU2pdulz+oE4FSIv9p3BzZJz08E/kZ+\n", "SA5iftjpPS1Fg/ReA7quIiIinVgX2HBFYtJ3tfYChgHvwEbAOsDkhrWszaTg5zQzuw84ZhHsfzMM\n", "KNkfZj4RS/5BPUzSbhQ0iYjUZwWIFWG1/EAdmK5NqQiGUTloehIYcQOVe5pu6Fi3baWhugfN7Dgi\n", "0/fK6am3gZs16VvalYImEZGe4Xzgu+cT+7hsXfLko6lCUd22l4Ij5V6SHkMTwUVE6vMuxATm+TVc\n", "PJ8OE6LfqVQvrYa78iNi3tJxwF2pHAd8jvw+eFe228o5kd5CE8FFROrQrIng6bWWIJJq71qhym3A\n", "Xu2W3FKkt1BPk4hIHVKQM4bcf6pUdM2YLgKmbYEJFAVMlkqRXYEJqa6INJiCJhGR+l0OfHQnsY9J\n", "VlcQw2tETsrLK9Uzs68A9wBbrESsw58ELEhlEnAisc8dsR/d3ekaEWkgDc+JiDRA2grl7AHAxUTi\n", "ys5cAfwnEfQAR1fauDf1Gt0DDD4cOBsYVOGec4Gjyc+s/hjY0d0fzvwm2pSZ9QNw90Vd1RXpTgqa\n", "RKQsM1ufSFg9LJ16B7jL3V9sXavaW/GGvV+ksGHvwPT8fGJC0hjyPUzQyYa9ab7UE8CnDwf+yGLD\n", "cYtxIjN4CpyeBIb35OSQZnYQhdWA33P3a1vZHunbFDSJSJ6Z9Sfy5owGdqlQ7Xbi9/7N7r6wWW3r\n", "KdLGvaeT9r4bRuRhglglV7Q87iPgx5V6mNK9RgIPrJSurdTDVGousCYwIx722H3bUg/Tu8DQdGo2\n", "sIJ6nKRVFDSJCABmNgwYB3wGYDCwD5GiGuDV9OScwiX3A/u4e8Vl8n2VmQ0l9pIbTWT6LvZvIui8\n", "vLMNetN9rgIOOQn4VZVtOAk4LQ6vcvdqtsRrGwqapN0oaBKRXMD0T+A/ViM2TD2MlOq6yLvAZcBv\n", "gDfj1HPAZxU4lZeG19ah4xDnq1mHy8xsFjB0ErBela/9EvCpOJzt7stVeXnb0PCctBMFTSJ9XBqS\n", "uwf4zCZEop81urjmDWJt+8R4eD8x4VhDdQ1kZgOA+UZMFq92qfMiYsuH9BN+oLsvaGT7mkkTwaVd\n", "KGgSaTMpgeG+xG4Zq6fTU4GrgRsanbjQzPYGxq0GPELXAVPOG8A25Huc9nb3GxvZrr5OQZNI+1Ge\n", "JpE2YeFIYkeOa4iFV1unslc691qq00ijIYbksgZMpLo/KrmHNE4KcmY78EoN179CPmCarYBJpDEU\n", "NIm0gTT35XRigvAqmwLnAA+lcg6waVRdBRhjZqc36HXXB3ZZEhhVw/WjiAnjwK7pXtJYtwBcVMOF\n", "Rbvg3tygtoj0eQqaRNrDEcDxA4mkh08TXTfbpjI6nbuCfM6fH5vZEQ143S8C7A0sX8PFKxAr7Irv\n", "JQ11DkQANLeKi+bSIWiqmNJARKqjoEmkxdIcpv+GyCR9KOUTGFp6rqjX4b/TtfUYBoW0ArUounZY\n", "5VpSo/HAk9OJTN9ZZqA6cBT5HE1PEp2VItIACppEWm9f0pDc1zNUPhTYJA5XpUNHj/Q2KTXBEcDH\n", "FxKZvjvrcZoLfId8YP0xsURfq31EGkRBk0jrHQJwJF1vkUGqUzQTPEuc1Zl3IBJX1qroWuVq6gbu\n", "PgE4AJhzIZHp+yQiD9OiVF4iNuxdkw4B0/69Yd85kXailAMiLWZmjwBbP0TMX8piArBdHD7q7tvU\n", "8drrAy8MJnIaVDuv6V1iFV3KEr6+u0+qtS3SubRx73nAFvlz6d+Sn+JPEj1MCphEGkw9TSJ9WNp8\n", "9/Y5wKU1XH8p+YDpNgVM3Sv1OA0HRgJXkdIR5NIKpHMjiQ16FTCJdIMBrW6AiDAV4DGy9zQ9WnJt\n", "ncYAu/wGOJDsuZqmAL/teA/pZml+0vhUcgkwUR4mkeZQT5NI610NcC7ZV0edW3h4VQNe/2bg/jeJ\n", "rVHeyHDBFGA38tnA/0nKJyTN5e4LFDCJNI+CJpHWuwF461myRUBXkt/zbRowrt4XT3vG7QM8N5HY\n", "GuUMYr5SqXfTcyMKbXgO2Ff7zolIX6CJ4CJtIG2NMmYgsfqpXK4mJwKmbwPz49SR7n5eA9swjAjC\n", "PgOR6XsfCnmYXk1Pzilc8k8iYNKqORHpExQ0ibSBom1UjofIw3QksekcxBymc8n37gD82t1P6IZ2\n", "9Ae+QiQh37VCtduIOUy3qIdJRPoSBU0ibSRtjfI/xB5z5UwDftHIHqZO2rI+sTVKLtP3O8BdacWd\n", "iEifo6BJpM2krVH2IRJXrp5OTyWmPI1z93mtapuISF+moElEREQkA62eExEREclAQZOIiIhIBgqa\n", "RERERDJQ0CQiIiKSgYImERERkQwUNImIiIhkoKBJREREJAMFTSIiIiIZKGgSERERyUBBk4iIiEgG\n", "CppEREREMlDQJCIiIpKBgiYRERGRDBQ0iYiIiGSgoElEREQkAwVNIiIiIhkoaBIRERHJQEGTiIiI\n", "SAYKmkREREQyUNAkIiIikoGCJhEREZEMFDSJiIiIZKCgSURERCSDAa1ugIiI1MfMBgOfA1ZOp94G\n", "7nP3Oa1rlUjvY+7e6jaIiEgNzGxd4Ajg28CKJU/PAC4CznP3yU1tmEgvpaBJRKQHMrP9gCuBwXFm\n", "c2CT9OxE4Olc1TnAoe4+trktFOl9FDSJiPQwKWC6HjD4KnA8sG08BMCBCcBvgL/kThygwEmkPgqa\n", "RER6kDQk9xwwGP6bKFahtgP/A/wvRI/TRu7+arc3UqSX0uo5EZGe5QhgcPQwdRYwkZ77H6Iug9O1\n", "IlIj9TSJiPQQaZXc68CKMB7YLuOV44GREJPD13T3ud3TQpHeTT1NIiI9x+eAFWPS97ZVXLYdsBlx\n", "LZ/vhnaJ9AkKmkREeo6Uh2kTOh+WK2XApiX3EJFqKWgSERERyUAZwUWk5cxsReAwYDiwfDo9E3gc\n", "uMzdZ7SqbW3m7fhnIrEyLmtvkwPPltxDRKqlieAi0jJmti1wFHAgMKhCtbnAtcAYd5/QrLa1I00E\n", "F2ktDc+JSNOZWX8z+z3wEPANsEGwO3AxcFMqFxPnbBDwTeAhMzvDzNry55aFVcxso1RWMbNqJh51\n", "Ke0ld1E8+g3Rg9TlVcBvcw8uVMAkUjv1NIlIU5lZf+Aq4CAYCBxLpA/6ZIUrXgbOA84E5gNcQ2wL\n", "srD7W9s1MxsGfIt4E+uVPP0ScC5wqbu/06DXW5d8csv/IvIwKbmlSDMoaBKRpko9TMfCssA44AsZ\n", "r7wb2Ad4D+D37v6D7mlhNmY2BPgdMIr8/m9DKSxOexuYnas+B7gU+KG7f9SA1y7ZRuVHxFBd8TYq\n", "DxE9TPltVPZ397/U+9oifZmCJhFpmjSH6aHoYbod2LHKO9wN7ErqcdrW3R9uaAMzShPXbwFGxJnd\n", "gNHEcGL/VGsh8DdgDPD33KUTgD0aMbG98w17nwWeyVWdA3xdAZNI/RQ0iUjTmNllwDdjg9lf13iX\n", "40lzdC5z91ENalpmqYfpbmAErAvcSEoc2Ymngb2AVyECpy82qMdpHWJY8HAicWWxGcCFwHkakhNp\n", "DAVNItIUqXdmSkzsnkTlOUxdeQlYH/C5wBqNmiuUlZmdCxwRAdMDwOoZr5xKrGB7FSKQObKBbRpE\n", "ZPouHhu8V5O+RRpLQZOINIWZ/RD4bQxh3VLn3XYHbgX4kbv/rt62ZZUmfU8BBkfvUVc9TKWeBj4N\n", "MWS2hru/29gWikh3asuluyLSKw2Pf/ZvwK3y9xjegJtVYxQwOOYwVRswQcw72pW4B6Ma1ioRaQpl\n", "BBeRZkmZvldqwK3y26ct31ktyPcOHQJskE69AFxd7bBeyrmUhtRGV3NpidHAbQBHmtnvXd39Ij2G\n", "giYR6cmWqPREmrB9BtGjU5pt/NdpUvoPqpiQvTKwXqQV2L2GpuZ8hbjH7E+le75Vx81EpIkUNIlI\n", "s8yMf6Y34Fb57dPKziZPAdM/gJGRu2jXVCB6ef4+GPgesJmZfSlj4JR6tVamkFagFv3TPWbn7tmw\n", "oCllS98Z+DaFRJsvEVnE73D3RY16LZG+SHOaRKRZHo9//tyAW+XvsXZalVfqDGAkrAU8RUwaPzaV\n", "W4kJ2WsRdTijAQ1qOTPbjNjJ9zZiL7+tUjkwnZuY6ohIjbR6TkSaovEpByDtvbaLu/+j6HWGAW8A\n", "gzpf4fYMMTE720o2M1sFmBZDa+9Qe2/TQmAYqadpVXevu6cpBUP/BIZGMHgE0eEEcAexDc3rpBf9\n", "rLs/U+4+ItI59TSJSFOkLNg3RaBzXh13Oo+4R7kOJiAmfQ/qeoXbZhStZPt6hhd+G3gp4o6/ZW1s\n", "GbeQAqZJFI0z1ioNyV0HDI1tZl4AfkIkKx+Rjl8A9ibqcF27bnos0u70P45IA6Qd7rc3syvMbLKZ\n", "zU5lcjq3faN3vO9pzGxN4LPx6EwiqXa17gb+Lx1PB5gHPFFSKa2S25Wu7VZyTWVpldu58WhMhntX\n", "kr/23AatnNsZ2Ch6mP5EfleVDgYT+xyvRdRlpwa8rkifo6BJpE5mdjAxX+dB4FBgHWI32mXT8aHp\n", "ucfN7KBWtbOVUs/GOGAVWI3YO24fqgucchv2zqco5cB1jdjHrQqXAnNiL7mna7j8aVK6gdwGvo3w\n", "7fjnCMoHTDm5ue/F13QPMxtuZuel0uxcWiLdRkGTSI3MrJ+Z/Zr4836LFYETia1SZ6bybDqXBpK2\n", "AK4xs1/3weGRnYGtYsuRp4CDgfeI3qDjgZc7ufSlVGfXdA2kUa1X0hOlXoh/bsvQrPxGui9kqEzK\n", "7XRpPNqL2Bolq6npGgAubWA28LRKbufOawHwpdzBpxr02otJQdKDRIT2PeBBBU7SW/S1H9wijXQa\n", "cPwA4Cxib41TiX3ml0tlk3RuCvAH8jk+jk+n+5KUDfIoIrnllcBxRK/Rb4nf4bsDFwM3p3JxOrd+\n", "qjM/d6956QYj3X1amde6GpgbAVFn85079PpcVcV7+SHwcOwhN5JsPU5PU7Tv3IR0j97qu8Cg+Nrt\n", "Thzz3Za2SKRBFDSJ1CANyR0/gNjj/mgWz55YbBBwTKqbAqcf95WhupQzac9YbZYbFepPrPR/CPgm\n", "kaPy1vT8nql8O51zgOuJj3AXYqXbNyoETCW9QV+hfOD0DLBH7sFl1fT6pJxOXwEmRBD0aWJu1I3E\n", "yrichencbqlOPmDao4qEmlm8FP/ckaFqfpHhpAa+vkifoZQDIlVKE7ofB7Y4iwiYqnEW8P04fBIY\n", "3tu30TCztYFXYU3SsvcyZgCXER9ryoHJ8kSP03sA67j7a1W8ZlFyS4ihvdyk779TNHT3IJA1uWW5\n", "1/gd+f3oIBan5eZbvU1aJQeFOUw/bHDAhJntAtwWk7xfoPK8pjnEfPfXoSRNQ4Pbkxuey/0dMZfo\n", "FXy8O15PpJkUNIlUycy2Bx5MSYc67WEqZw7x6y3NXt7e3R9qZPvaTbagqZI1iZRL1QVN6XVz26gc\n", "xuKRROYgxsxWB75DdH/l8hyk9AlcQAQFo4iZ2KVzhSYRK+4aOYeptH39iKSWG8VE+XIr6OYQ88j+\n", "CvBvYJPuzA6eAqfckNwfFTBJb6GgSaRKZnYFcOiJ1D4x6UTg9Di8wt2/2ZiWtacUvLwP/ftFALRK\n", "xiunEUHTwkXAMrX20JjZCkQepuINe6/KkMxyTSLo+iqVM1kuAP5CzFF6g+hmym0iPBN4uxk9iYsn\n", "t/wehUnf/wDOR8ktReqnoEmkSmY2GVjnWWKidy0mApvG4avuvm4j2tXOzGwcsDf8kki2mMUvgZ8B\n", "jHP3fburbeWY2SbEGN4aES/tCxxOIRP5i0Qn0zjSPKY3gF3dfWIz21ksBU7XEXmYyvk3cKACJpHa\n", "KWgSqZKZzQaWnUmskKvFTGCFOHzP3Yc2pmXtqzDvZnViEvYKXVzxDrHFyVToxvk35aQepoeANaLj\n", "aAUKmwyvTmzn9iVgv3T+a8D9EIHTdu4+pVltLZWG6nYiZtHnhgonERv23qkNe0Xqo6BJpEoKmjoy\n", "s4FEV8z3KOxb8gwxJnSDu89Pv8wfBraC7YgJ3sMq3PEdYmXbQwCPASOa9cvezPoDjxI5tbqwEvBT\n", "ogdqN1LgdJ2794lVkSJ9kYImaVtmNpSYizKcjvNEHifmpMyudG03t2syGp4DwMxWIiKgERWqPEws\n", "sZ+eenAeBNaKHpvRRMCRm+M0jegQGUPqYXqdWHXVlJ4bM1uNGG9L72VzYn739hQ2F34ZGE/MIc/l\n", "Z/oMsbXLCGDhAmLSeqasl2kl5tLp4Qe9fSWlSI/n7ioqbVWI31bnAR8QSXrKlQ9Snc1b0L4rAD8R\n", "3GssJxTex+Wt/rzr+BwGEnmHHNZ0ONvh9VTOTudwostoYLpmTaInJz3X32GNVPoXf30fBdZs4ntZ\n", "jZgg7rCqwziHRZ18CRelOqum9q7vsHuu7f+V4fW2JrJ3Fn+Pf5DObd3qr62Kikr5op4maRvpr+6T\n", "iTEPAHYE9qdj5ps/A/d0vPQU4hdVU76ZlXIgmNmBwLURBz1MxB3F3iR6X6ZATEC+Pl2Xm3czmthX\n", "JJdkdxGRDXIMTZx/k4bk7gV2iFG524mhtyymE/k2nyT6HScCPOru21R4rRWInAC7FM4OSf92WBx4\n", "O/A176Y0BSJSo1ZHbSoq7g5gxNiM9wc/CnxiJz01E1Od/oW/0i8kDTc3qa1PAH5WDb1Mfyi0+fFm\n", "tbmbPoc7432c3cnbPSv3Xu+scI8hwNqpDGnR+/h/5HuY3q6h4/Dtoh4nHJhc4XVWILYjdFjO4QcO\n", "LxTd54V0brncfZ4Flm/111lFRaVQ1NMkbcHMTgF+OoTYL2P3jNf9DTiA/N/op7j7z7ujfaXSNip/\n", "ym2j8uWM191KdK0siIcHu/u13dG+RjKzVYjJR3tRmL39DtG1slRMPVqzwtVTiH41prv7yhUqtYyZ\n", "DSIauWJMZ9q7xjv9lUgsCVSYp2ZmtwG7wH8QHUmVPrPXiQzmzwHc7u671tIiM1uGSFif2yX4RmJf\n", "vgNY/Gt5I3CJxxY0IlJJq6M2FRViDpP3B/9bDT03t4D3K/yVv1kT2/1rwAek3qOPO2njx6nOgEI7\n", "T2/1557h/a1O/JKdB4vNKSsqeztMrfDWX8/Ve7vV76fCezwk2vdp73wOU1dlkcPmuff6UpnX2YZ8\n", "D9NrGe73WnGPU9VznIBliDHD0q/Xok6+lh8Tc6pWavXXRUWlXYs27JV2MBpiD4qsPTbFdgeOLLlX\n", "k5wI/HoBsZfcWunERGKJ38x0fGJ67vvke5h+DZzUxHZWzcw2IiZwfw36DYxelFuIudIvpON9iOlI\n", "fwW2JXInlhqXO6gpoaKZLW1mO5vZgansbGZLd31lZilt9mHEqGutjFhpBxRtOFckfYv+J6nnrQtD\n", "iUWjANxvZu+Y2SNmNjr1IHXlaODTsB7x9fkrcYxFYvSxxJfkmXS8G8TeK98CxpvZehleQ6TvaXXU\n", "ptK3C/Hb4QPA/1X7n/k+sfDX8gfAsk1+DweR5jh1UZ4ADmr1Z57h/awOvBZt3t5hcicf/eRUB4e1\n", "HN4oem6qF62gO6DKNmxM7G38XpnP8b303MYNeK9Pxz3H19HLlCsP5tr3XMlrGPlVci9kuM+NDkM7\n", "+z6aRaRx6Ox9jY+6fy2677h0/XYVXvcFh+G515iEepxUVBYr6mmSVvs6sNSOxEyPWm0MfD4OlwIO\n", "rbdR1fCYlzScSOhzBfAq8Yv9vXR8RXpuuPeAOUzAb4G1osl3AOt0UnWdVGd7Yi7OUcQUobMpWjk3\n", "gaIup86Y2UAzO5/opDsaWCZW5++fytbEOY4GJprZ+Sm5Zq1Wj38+2XmtTPKdM+uVtGlpYKmY877+\n", "Yld1dBPRgzcb2AG4BngrlWvSOYYCfzWzPRrQ6CLrE+tSh0O8mdMae3+RXqDVUZtK3y7Eqjc/u/4/\n", "8/3swl/iF7T6ffXUAqwKzIN+XfQwlZbJHtcs1ivyEBl7LIi8TzfFdYMdjnB4qsxrPZWeG5R7jZtI\n", "eaBqeL8z4h5vNaCn6a3i9z2q6DWWiXNDurh+dlEP0wlefo7VovRcvsdpmQrv66Sos17qYRrn8Ml0\n", "3aldtOOF3P0/Boa1+ntSRaWdinqapNWWh0IepnoU3aOrjc2ksm8DA2NxVWc9TKXWAfbMPfgQuAs4\n", "EPisu0+vdFWJs4E9YlHXPcC5xBqBUpun5+4lLQDbgxiuq0XK3P1yjZcXe6n4QdE0Oz4APow1ni92\n", "cv2VFHqYTqX8HCtLz+V7nCr1qp4NTI027ZPKy0QeqqO6eB/rE6v3GEzRRC0RQUGTiHSQlqd/p4ZL\n", "8ymiGnkAACAASURBVNc86+47ufv17j4/y5VmtjHw3fg9fQsxsbwr26a6gwC+Z2a1jPA+Fv+Mr+HS\n", "UrkcpUsAjMi1x90duC6eO6+T6y9J/x5D55PSjRidBGJm+WLc/X1gcjzagNjv71TgPqLjqyvfzR3s\n", "1Vktkb5GQZO02kyITN/1KrqHsijXLuXu6WruTTn5a1as4eLUMzOKbAFTzrYUdYYcWbleRf+Ify4l\n", "RqRq5ekeEEEKEAk7c8bEPxcTc7/KyfV2fSHD630xd9DZZKy0n/RYIig8kWwBE9T5tRTptRQ0Sas9\n", "DrE1Sr2uLxw+0YDbSZOkFAKHxaNa4p78NYfVkI5gLDAjFtHdWMNr59xI3GMlyg02u/ujwO0xDWlX\n", "KgdOVasnT4KIVElBk7TaVcCH95DyH9foX8QMF2I+zZX1NqoPSxmhO5t7U0n+mhlVXrgd+VVy5eYw\n", "deXTwFYAy1JdNxXuPpfYu5DIFJZ1+lWx6elagM9QFLO/VlLxa8DE+E7fHPgBkfMqJy3k4+4Mr3lX\n", "7mCpToYl09fyhQpPd6bmr6VIr6agSVrK3WeTgpxz6rjPmMLhFe7+Xn2t6tNSd8sFNVyav6baLps0\n", "cX/dGl4zJ3/tsE4qVXI2cD9MI/bRrSZwym3YOy09/htpxPlhd+/wd4DH5rufI9/j9HtgQyJLxlLE\n", "VnMQc9o7Gyr01GQgJlDdaWZbl+llq+Nr+ceSe4gIKGiS9jAGYors32q4+G/EWqrie0nNLgLmx+/K\n", "V6u47FVi5T/z0z262RvExOb/TKVcNvJs3H0hsdLvxdh5ZHMig3ZXgctfU90niTlA2wFzcxXOLXuV\n", "+7see8ltQ0xwSqvqPiKOmQcPkM8YUPZ1TyLq9M+dXA14BHjfzO4zs4PNbAliZvkc+DvV9Ry+CNxG\n", "XJufnS4ioDxNKu1RiCESH0LsJZc1Oc4t6RqinNzq99EbCrHfnEem7w8zfBk+9EJWcK6q4fV2jmu3\n", "zvBasxy+7tC/OCdScbkDGFrj+16VCFzSvTZ3OMMj0/dbqTyYzm1e9JqfcXjT4ZrcuQ/ImDeKmJO0\n", "TCoG7Fe47w4Ofyp67T+lc8XvdwmPrOtrpuP8c9PSvS6Ox8Md3svw+b7nRVnBL2r196KKSruVljdA\n", "RcU9/8vjIoiNe48itkap9NN9YqpTtFHvhYC1+n30hkL0XNSwjQqvAqvV8HpLk98upVwyy1yZ5bGx\n", "Lilo2t/hj6nsXxxIPVlL4ERsCuewpMNKlYKyorKSw5kOC1P75nrRJrtr1vjZH1R4f5299joO55YE\n", "Qu85jHHYtLjuCcSWKCkY6mwbF22joqLSVWl5A1RUciUFTicX/3L4PJHp+7pUzk7nSn6JnKyAqeFf\n", "i40KgVM/h70dbnZ4PpWb07l8FvBXgY3qeL00keeITn6pfz291gYOk8o8P8lh/Vx7rqyhDVvEtZs5\n", "zHG4xOHLKUBZ1iNb96YO33K4OtUpbcNmudffosbP4Udx/VEpANraYQWHpYu+3//Xy2cLz5VFDqcX\n", "//8xmshymR7v6jDW4elUxqZz+fqTgPVa/T2ootKOxdwdkXZiZpsT68i/QcyQLedDYk+3Me7+TLPa\n", "1peY2erAb4ADiC1OyplPZHv4kbu/WeYenyLm7yyfTs0EHnH3SSX1NgYmRqLKe1l8EdxUCmmPnqdo\n", "n7cSLxGTqxcuANZx96kV3+Dibd0CeCLyLH2FmM4zq6TWcsC3iNVyG7C4zYFnALZ09yezvnZRG34E\n", "/AaOA85IZ+cR7/0t4HTgxxnvdjqRm4mZwKbEHxeHEBlEy5lDDM2e6NmzuIv0KQqapG2Z2bLENhFb\n", "Utga5V1iTfeVrlVyTWFmqxDbq+xFIdnhDGK2+EXu/lZJ/QHE1iajgS9VuO3txGTpm919QbrufOC7\n", "sQCuNCv4qcBPiE17r6dz+xPpl/iJu5+a4S3m2r0u8ErHs5sDn0jHrxC5mHKOJlbADUiP5wGrkAKt\n", "tdx9StbXLmrDQcA1Mak8l6X8GiJbwWbAU2RPzeSp/c9CfCAHEP8fjaL81/ISjxV+IlKBgiYRaRgz\n", "24bYMmTdOLMkkcxxlVTjLWJl1se5SyYDB7r7I2Y2EPgLsEesDNuc6FU5mFghdwmxFL6rLV4uIG0D\n", "com7l91mpEy7B6R27xur+L9BdHZuVVLzMSLWu4IIkvZNlw0Ark1t5V3g/4Abqu0FNbOliKWBQyPv\n", "65ZEloJ/ptc9opOryzmXiF0B+IW7/0+VNxCRIgqaRPoAM+sH4O6LuvE1diOCniVjCf5oItH38iU1\n", "ZxJbjowhps/wEbCfu//dzH5JdCkVWZUYtnuVbgyazgKOjrbeRNoQtxP3E501M4m94v4AfJ7Y222x\n", "in8A/uxlftia2TDgm8DwdOpxYtzvCBgJjCMyjC9BdAhl3QYl532iQ2le7sTO7n5nlTcRkURBk0gv\n", "ZmafJuayfDmduhX4ubs/1eDX2YaYjLRkjP78kcrToHLmEcHNZRCB05HxYACFHpXzgAVF1xQPzzlw\n", "D5EdOzeqtAIRuNwHGYfnzGwD4PkITO6i64Ap535gp/Q+TiXyJw0CfvH/2zvveCuq44F/Dx0RC5pY\n", "sGISG1iiWKKoiTUxiVgTNRFbBNEYY4mJaEJEjSa22MASews24i8qisaCvYsdKxawo6BSHjC/P2b2\n", "7r777r1vb3v73n3z/XwG9u6eszu7977d2TlzZtChvOtQowXQC3JYYigyoIFLp9AyxmiuyVJqSz0D\n", "rETlpVdWBnIjhdOAtUVkTvH2juMUJetIdBcXl/oIWl/kK1rONvwKWL+Gx+mGWgkC+7cysytfFlkf\n", "BA0GEjg8sf2waNsdwEKdiv+cwLkCa+efV76MAvqm0P8sbX9QGXpHcqAdK9j/YxPbZpmevSJ9LiJ+\n", "UT0q1nNHgUtMms1imxkvr1SBbpGsZPtYM9rv/mV8twGNfl8Kn6Hq4uIZwR2ngRkD9IHd0Fiij9Bl\n", "+gAn1fA4PwVWg++gDpVyasgG1Jb4DsCSJRo+C1wPC9HJeEegNdxWAI5FR8DOteUVoj4nA8+GEL5b\n", "9OghLIZOhyMR+1MGUR9BZ6olY476okN3d2POpEOAPWxI7hRtczWasftgk4nAVdEOegEf6+LHJLxW\n", "ZTA73gW/i1YOb61XCKFrCOFQNIp8psmLIYRDQwhdS/d2nAYma6vNxaU9Cvo0HwJcj45tfG3yvq0b\n", "Qjt+80ZLJDUBotmkxeTDyNvQBHSp0bHu1n2eVYU35MyEh6WbeZgOs2UEjcjeEB2rE1hX4EaB+QX2\n", "Nd+25XImfQJ8t4juW2ub9arQPcoO/kCJNudGujyIDsuZV6lY+x2i9ovi6zI2hS75cqH13Uo0c3s3\n", "QS3PPiW+z65oVLv17W2S84D9G+ia9W/cxSULcU+T4+QRQvgVOrf8QXQ6VH9gMZP+tu5BYIq17bRY\n", "HqbtdZbc/lXsaX/i0J4FaPnmC2yZk4GpaDBTV7UH30BtoUJxU93R2KdHsIwHywJ3hBAKRVFbKovV\n", "C2xKy2r2f6nURvujic8ZAvxI1+1Ron1uW4BVbfFC1GZJixCXYhyJ/nzXBb2AG5ToeAiwlzr+rgW+\n", "NLkWcwbuZW0cp9PhRpPjGCGELiGEc9Axk4E6Tf4EtBjsbJNXbd1yaBuuDiGcE81Oay+IzpK7Uz8d\n", "Sjw8lxuCukNqM5NusP63Iy1nyZVDP2Cn6MPJwKkmG4vIieg0vDXUAbgILYz7exKpCwqwODqZbxDo\n", "+N9+VSiYgjdLbOsL7Bt9WLm8/W6A/t5eQHONpuXv6OjacmhqBIAB0cblC/WwAPXD9dOFaC7M7ib7\n", "kKiHfbi1dZxORbu60TuNRVD6mnSEG+xZwO/0ATEOrSIyBs0wvbjJmrbuXWvTHe3DmRno2xonAl+r\n", "4bC8yS2ggeB/LtQhhNArhLCJSc8UxzBLabnSrVKR28cv0eLLo0TkafvtmLXXrXDXoiyOXgYADivw\n", "O7Rpd2/nrZ6DzurbDc2TtJUtX0lLQ+0d+79USBbA2tGCBSfdVKJtclsX1OsGWkrudEp7nIQ4G3iw\n", "vj1a0S3HksA66jncs8DmPdFtrEPrJ+w4jUfW44MujSfocMgodHpzFAcxzdYtm7V+RXT+lerZXWBS\n", "GTEjd1sfBPhV1udR4LzWB/6DxjA12XLBmXOoS+adxHf2DjColf2P1LbDq4gJimR4Mm7m7MQxfqjr\n", "VhA4T6CnyYUp9ztfYPlov9vk6b8YuVlqTwnMFviDaL23YrPy+lmb2QJPSvy7md2KHudE+7gEtbwE\n", "rirQ7qqo3Tz9fwNbf35Ch4F2/smCvV8KXCDNC/aen7fvqOAxWxT5PpciF8dULF4sNxtwqax/3y4u\n", "bS2ZK+DSWIIOWX0Q37R7JW+yYtsGZq1nns4BHfsQGFfBw35sdG5TaKfB4ai7omjgNxpQZAbTyiY5\n", "w6lXiX57a7uhFVy3fBma/J18BSxhx7Aizsdau29Mytn3MdF+xxQ4B0s5sI/ARgkdNrLfw30m4wS+\n", "n7d9b1v+fQodckbhiTRLObCDwMUmOyT2zx+BRRq8/bXt40aB5RJteoimFFjJlqP1ywnclHf81gPB\n", "7W/hJd3HtQXO4droGC+119+6i0s9JXMFXBpHUA+TGUybinphFprcZetyhlO78Tihwbn2oJlXwcN+\n", "nsC3o3PbMuvzqfAabBIbTHMF5kjCcNqkRL/vxJ6Jzyu4dpF8JrFxvUl03MPsGBfo53Or2H9u9toF\n", "Bc7he7otyrU0QODRIvtZZNsGSPM+U1s5/iyBxSMdBplxclTscWomc2xbAB7TdZfn/d5uEJ0Rl993\n", "K9tW6Hd8WdTu0VZ+C4dquyVFjaSP7PrtJAnD7Oisf7MuLlmIxzQ5tWQ4sKIWWr0fnbnUxWQHW7cp\n", "2qZdzb6xeJnfUEbsR4IeJEp7VJLspwUWD7ZVCOGUEMLEEMIUk4m2bqv6xYlJ+pYibwCT9Dl/RRXH\n", "vAJNgr0DcEy0cmRbxMKJyFTgGT3vAeisu82KtA627RFrK+jsucfRuPsvi/S7AnWeMVlEXhDlLHQ2\n", "5lHANSZHAf1F5CwRETSJFeoMa7J99QB+gSZgn406A9+x5QdsW/7vuAktLgzxPotyMTBez2VfNNbs\n", "CDSHVK4cy5gQwgUhhN6t7MtxGousrTaXxhD0aWIxTHeVeOOeGL2pTqOduPfR3EsCr1bhyXg1Oq/3\n", "a6DPruSGSErKi8CuNboGPSk+PNezlb5Dte13ing4WpN51heBCaJxM7m8QEvSYniuEik5PNcb+Ey3\n", "F/MwFZJHCnwnfQQOEc1aHrV7UBJD1HuW+b30jr+Xk6s4/zHJ77N3iuP2AV6Pz2t7gTNMtk+e84Np\n", "9ufi0iiSuQIujSHonGp7OCwscfNemHyAtFrioo10/1r1aS2Qt5TMis7p6yr06IMWLLN9LW+Gws0C\n", "z5rcbOtygc1ifYomKyzj+GUHglu/KsuoDLPjrSbQZOtXiXRYnWaB4IWCk1uT4oHgpv8w3bZRBbpH\n", "MU6bCWye/E5EY6TOlEJlVArosASaaPMXJlsTx3Rtq/27Sss4pTRyk0CXSIcfpfwt2JDoSva7y9/n\n", "sxKXZ2k55Oni0qiSuQIujSFuNFVnNKFz4x/SfSwmOkuslIEw39osFh13co0Mp15ofNMmrXmY8voN\n", "Jhefs7+k8zjNk9hgWkx0Jlq0rZnRFICX9fMvrc8wUc/LeymOMz7aV8HgZTQPg1Q2CWCc7XtX+/yy\n", "wBHJ7yWSj4Hl847bBx3XfSqvbVKesjanxobTmFZ+G8nfyBhJGEyjU36XS6MFlKWwwRTJs9F+vwGW\n", "zvrv2MWlLSRzBVwaQ/Dhuei8KhqeI+dhWrlMPV6VxFDadRlfx93jh/13RMuqFAoO/0zUAxMNyS0m\n", "cGfew77Z8NxSxQ2LrqKG1Mwi12e2JMqpHFVE7wd1+30VfO/32b6H5K1/WuLJAVGwOF8D96IF6XYD\n", "3ovPo4fAxgJ7mmwszWfD8T7w3+bXd6zEs+qS8rVo0PegZP/Raf/eyKWR2D7F+W8X7X9k1n/HLi5t\n", "IZkr4NI4guZhEp0lN6fADXaOJGbQHZ+1vgm9r1edTqjgoRnJqOi8yjZc0Bgm0XiYSgy3VyXh2ahJ\n", "jFOF1zGgabETD+veoqkEhpsMleYpKFYTeCLvfJp5hpYCntfP3QT2ErjUZC+Ja9OtJy0Np9mSF38j\n", "wO1Avzy962A0iWjepxYepzzZUOCaEn8v11ibYv2DwJqinq5dRfMwdUu2eQfYtszv8Rzte0aK8z8j\n", "Os45Wf8du7i0hWSugEvjCC1SDtwlccqBieIpBwoeO5EX57wKjh1Jbkr9i2k9CnW6loerHgMlL+dQ\n", "nuwoGvTdVOBctonaHRYbtGsKvFmg7Zu2LRq6E1FP1Xhp7mkJkhimuj1P5xoOz+XLb2377qLep13s\n", "c1eB04ucf740CZxmfRAdulyrxLVlIfAoWvCu7CBtN5pcXIpL5gq4NJbgyS3LMljQ+hyigcqVBDlH\n", "Mk8Swc5bZXgtl0Tn1ovGKL0ucJ1opuoLbPn1EufxRHQOXwFrqQHQTQobTJG8Kdqmi6g3a4U8IyII\n", "vGOSM5z6JnQepuu+L+UHgkdeoCuLtHnZtvcRDciODKYJFXzHt0psOE0UNcIOlsRQ5kdoEHlVsW34\n", "8JyLS1HJXAGXxhPzOB1PyzIqx7cnD1OezokyKneX8SCrrowKcIr2rWY6fSS5afUnZ3wtzVPRX2Ba\n", "GfpPsz4ImlTIhnv3StF3T0n81sS8d5Z1u4u0YjRVmXKgnxQeXotkM2u3rP1/ehXf8Wm2j5UEvrJ1\n", "MwQGR+f1FrBcld9fJYHgXlLFpVNI5gq4NK6YB6evSbsI+m5F33Niw2mslB6qm2dtcgbT2RUec6L2\n", "v7mKB2kkkSeDO4t8F1uhCRRfNLkGHZqs6XeDzsCbHBtOT6bQ/QlJGEwPonmjrtDPl6bof2nU93lg\n", "m+ic0BgmUWOp8PCctbMquAMEPkxxvA8lzgp+XCtto1IrUQzTgiq+4yaJvVuXJNZ/JQnD6Y4afIee\n", "csDFpYBkroCLS3sRNHX5OfEDbjnRAO9XRVMKzLLlUZKIYRLzihSt69bKMae0/kafVnJv/lPyjrEY\n", "MCHPE5OUCcBiNb6WS5MLsEY0Tmm8NB+CjGKPtknq8iA2fb1Co+mKPD36xYaTGkzkBYJbu8XJzdAb\n", "IOpFKjRUt8i2RQbTRtJ6qoqk0XRNDb7nqxPHTq6fIYmhujWr/P56N//+tpM4uWVuSC76vjy5pUun\n", "kcwVcHFpb4IO1U0pYWTkjBMqGJKzYwSTuhpNdgwzmJYUnSH4tMkJti5nONXD43Q2uRgn7KG+iknu\n", "AS/W5mwSuaGobHhuVBFd+tJKXjDg2zRLbfB9ab1g70cpdNvY2veQ0sN4aWWOxOkIvszbdlCkX0We\n", "z7zr0Rv1OH1T4Lf/jW1zg8mlU0nkwnYcJ4HVPNsCDYrdCvWcAMxE364vBB6WlH9AIYSlgP2A7YCN\n", "0Pp7APOAnnAzmrqnGm4G9gCYKCI/tuMOUX2XROulrZPX52XgB1jNtCEi8lCVSrQghLAE8Gv0WhZS\n", "4ELgahGZlddvJeAd6NYVXkNrvRXiLWBNdNiL/UTkmip0XRw4AU0o2a9wq362+QTUQVWKV4hPeWPg\n", "yUpVy2Nj4Gm0nuPWifXPoD8vvgRWEJE51R4phLA0sDda2BhgKnC9iMysdt+O09HolrUCjtMeMWPo\n", "IZOKCSH0Av4MHIm+uefTU/97jOqNpseihacTK4frf7+lpb2CrTscjUdnBFWebyHMGLoghHAhWi4k\n", "MkY+B2YVMzxF5P0Qwo2w4JfwE+AOWhpObwE/BhaAetWuDiF8T0T+XKGuXwF/DCH8FdgTrau3ObA8\n", "rIF+lXuhTrQ0jE0sr16JSkUYgH7NH+at/z5qQL62JDr78Nlqj2TG0YXV7MMM59Xs4zv5BrLjdBS6\n", "ZK2A4zQqIYTvok+2PwG91cl0NfqivsDkWmt9NXEV+0qYj8Z1A3B3YsMG+t+uJfrmtm1QhQKtIsqX\n", "IvK2yZcpPHWHAlPU07QmarD8y2QvWzcVWBudnNkV4MQQwo5V6jpHRK4Skd1QqwyYgWbUSGswPW16\n", "tjXLRwtLl2rVFoQQ1g0hXIamQ3je5KMQwmUhhHWz1c5xyseNJsepA2YwTQbW0VGNh4FJaLjUd9GH\n", "e1d01GMd1GNwURVHvMj2wUt23IZARL5Ax59ugAUL4UbgYJMb0fCavdGhx1PQaiEAHFFDHZ7T43+D\n", "2k/PpOj1NOod+waI7Le3a6US6mGDhIHU7ggh7IzGiB0A9NLf+TroMgcAT1obx+kwuNHkODXGhuQm\n", "AMtpgfpn0Lihgq2Bk235ONSjUi6vAX+MPpyY5715Tv+7tUT/3LbnKjh43RGRL0Rkb3R45wRyLrk/\n", "oOm/rkOrrQAcGHUbUmM1hgHva93dIahN9kqBZq/Ytq3QtjsQewCnAHNroMpcNBcrwIYFtueG7DKL\n", "OTIv0k1AL31ReB21519CPYP7gg5X3+geJ6cj4YHgjmOEELoDu5h8y1Z/AvwH+I+IpBo/CyGcCvxJ\n", "h46eRovZt8Y+aMWQlYEr0bqu/4fmXARYBvgZcAiwSqLfa8D2aO1XrheRffJ0SREIvjkwC+oUCF5r\n", "QgizgL6aXH7FvK3Tgf4As0VkiSqO0Y1E8L+ILLBg/tfR5K3GZsSxSm+TiCtDq5hcBPQgDty+BjMY\n", "quAaNK5+I9SRk6T2geCVYENyB6jBdBX6cpBE0HO4FuAyETmobTV0nArJevqei0vWgg4X/Bl94uZP\n", "rY5kurXp1cq+liI3RfvhMqaRf2VT2FtLc9BFtOjtVNF6c7mCsJMpUD6DFikHRokWkn3KlpeI+tc8\n", "5UAdv687VOcxBa7jmOh8WiSwTLHf1dAxvsdRd060r7m27hQ00vqF0t8PAt8VeCmh18W2fkNJV2+u\n", "mBRLbhlJ7VIOVPH9LAHMUT1KlcyZGuk6B1gi69+Vi0sayVwBF5csBfUmTI4eemuBnAVyu8lZti7x\n", "YJyMJV8ssr8jtN12ZT4MnxNNphllJN9b4F6Bd03utXVRBvIuSZ2uK2QwJXRq8+SWdf7OdlK9u5qR\n", "9IHJGIlrs7Fjmb+BK4BFza9LP5Nm12oRGrV/eXPDajHRjOar5n03PxK4XuChxPdb6zIqkdQuuWWV\n", "3896qsM6Kc5n7Ujf9bL+Xbm4pJHMFXBxyUpIlPvoDzIJZFGBO/si29a/ueFU0OME3KZtri7jQfiO\n", "xMV2f2QPv2JtZwj8MNKjCTgk5bkGNBgnv4zKlh3Fw5R3PieVMAJPKmM/m5HzMHYX2EXgfNFklm+J\n", "ZgCfKXCXwL4SJ5VkOjouegzwZgEdvkSnNBbQr6to8d20v49I8gv2JrfVtoxKld+NG00uDSuZK+Di\n", "kpWgw23SH2RaiqfWtOaG04lF9vmBbp9axsNwaMJgmpui/dyk4XRr1tcxw+9vR7QsyiyT28v0MG1G\n", "Llv56ib5Bs5aAv80w0nse90i2v6V7SOg09jWNlne1i2JJsiahAbZP4cGPpnxc5qkG6prsraRwfSn\n", "vO21Ldhbg+/Fh+dcGlYyV8DFJQsBukcehkllvO7fHT9QPwC65+0zxA/btEVZp4kO53SX0h6mfJlh\n", "fVgIrJz19exogg7JTY8NmOh7W1Y0ZmhDgWUS6xcTOC9hxOwTbZtOieHaAscNwKnxfjcU9UoWKq8y\n", "x7ZtmNDjTxLXxHtaNIYpNyT3FvDdrK+tnedlqtO+UryG376R3v/KWl8Xl7SSuQIuLlkIWm9E1qLw\n", "kFwxWQSyZmw47Z63zwqMplHWfu8yDKZIfhnpMSbr69nRhFwx4Ei2FbhZmnt+5tu6bfOMFrF2P4jW\n", "X17B8XdEpzzaPnqITgTY02QjSQwFmvQX2Npkzbxt3J61hynv/NYlNyFiX2nueZ2aNJi+AdbNWl8X\n", "l7TiKQecTkkI4WrgV2cBvy+z71nA0bp4jYj8Om+/Ng9+KprEsjXWR/P33Av8qExN/ofmgWKKiKxf\n", "ZudOSwhhNdQrE9TheDmtpwG4Bs0B1QSch5aemQoMQo0rBojIO2Xq0QeYiMaVFWFFNOtFwWwXX5jy\n", "40RkajnHbgsscaXlagIduYREfqs5wB4ickdb6+Y4leLJLZ3OyrdAMymVy1p5+8jD6r49nnJvUR6m\n", "NAZWPt+JFpapoHNn5nByiYPSGEyg+YYus+Xj0Djv72EFkgNawbdcNgO21ByPd6PFd28wud+O8YEt\n", "58oWHo1ayt8HVhSRo9qjwQQgIrejCaouA+aqsfQKusxlwGA3mJyOhhtNjlNb7tH/rsxWC6cUe+h/\n", "21Jeoslfod7Ab9CEjaCJwnM7K5eR+t8f0Yl4WwO/MNkajacGzSZ/XNTnByLyPxF5VjJKXFkOIvKS\n", "aOLK5VC36vroMOJBIvJStto5Tvm40eR0Vj6ByoqWvJq3jzyuAuao7fRIir1FTqLXK9DkjWjhs1Kt\n", "nBjL9G0p1UdWsIeoz4VoSM7gaMP6tu+0eiwN7ALdSOek+g3alqHWt0MhIrNEZIrJrKz1cZxKcaPJ\n", "6az8B+Bi9NGXFrE+xoQW27XA7Dn66QDg61b2+DP7/9IytIi4JFq4rYLOnZX1gaCVUH5eQfefo4bu\n", "q2jdu6WBfqBxO0sV79eC/kBXHZZdIUXzFbEh3K7W13GcDHCjyems/AeY8Soagp2We8h5p6ZT3Fj5\n", "K/CyBgrvgqbzyUeA+4hr5N5EotBqCmYAN4NmqL64dFsngRk2K2OemzLpbn3BHXyO0/lwo8nplIgW\n", "3x0HWlb13RR93kV9R8Y4KVLAV0TmAUOBj9Qk24jmQ3WvAlug8TG327omtGjvvBSazENjcZoAbhOR\n", "91J0cpTZtd3dTOBz0ODmL8ro+AGwUIdlZ6RoPh0bwl1ofR3HyQA3mpzOzN+Bhz5AQ20nUXioTmzb\n", "D8g9rSYD/yi1YxF5HS1bYh6nLYDtgEPREaJHgW8DfwEeQJNI3wf8mNIepw+tzX2gT9vftXKO2298\n", "ogAAIABJREFUTnMsDu1dikzjb4UmNL0S6DDdk9GG50VkQdq9iMhM4D+wgMQwawkuQdsywfo6jpMB\n", "nqfJ6dRYUO1tWK6ctdCQ2yitwKvo4yoR/D0Z2CXtgyuE0As4ETgSLZxr7A+cTRwGMwXNd/ghOgS0\n", "u2kSpRV4wzS5GXvYf4iWDJmS7kwdgBBCQA2nZfRa7lbmHm5GJ9+tBbyMzqi7DuBUERlVpi7bAvdo\n", "OoF7ULO8EI+gBvccgG1F5H9lKu04To1wo8np9JhhcywwAo24LcR0dDjvHyIyt4JjDEbdS13hb+g0\n", "83ymobbVbWioUlHuAQ4WkWnl6uFACGE08BfNEnBPmb23RZOKnosaubnklquX+32YAXcpcKAaTscB\n", "hxAHhk9HDeXTMYPpMvR795u242SEG02OY4QQuqPTo4YSJ678BJ0ld1uxGKYU+w3Aw8Dm6mG6vJUe\n", "76Gx3bcRBxtHqQmmgBpfW/jDszJCCEuh32s3uBr1FqXhGuDXqMPwXfSn8gjAFSJyQImOpXTpjhrj\n", "B+qabsSJTl/HhuRADaYRlf4GHcepDW40OU6dCSH8EPifxjC9Rnkz05N8geYw/xjghyJyf00U7ISE\n", "EI4F/q5DoZfRuuGULKNyDvAENiw3A62dVnGckRnVP0STQA1F0wqABn1PQJNC3edGsuNkjweCO079\n", "GaH/HUrlBhPWd0T04dCqNGpAQggbhBAeMtmgVFsR+QdwpRpBv0aH3XLxYkaTrdvW2jQBw4HxmMH0\n", "NbBrtYHZovxPRPZAPZyDTL4lInvYNjeYHKcd4J4mx6kj5kX4GFhWg7nXqHKPb2DDN5+g5Sj8D9gI\n", "ITyETlMEeFhEShTCzfU5AziKXC26ZYjzML1HPDzaExgIvADMB/Uw7SoiaYsMOo7TALinyXHqy0rA\n", "spo1ekANdrcGmoWab9m+nSoQkWOA1clVWP4MTTj6nC1Ht8h5aC3m+QJcgQ7JucHkdGpCCIuHEAaY\n", "LJ61Pm2BG02OU19sKtQAcs6MqggkvFVp6m90Jg5HA+4fBg5L20lEponIZqjxdAHwIrkso4tAE1c+\n", "DpwKDBCRAzxXktNZCSEMDCGcF0J4GZgFvGkyK4Twsm0bmK2W9cOH5xynjoQQNgEeh41JJEKsksHA\n", "UwCbisgTNdqpk8CK70YBaF+Uk7jScRqREMIK6KSEodG6bsSFED8gMddTmQCMFJE0Ke87DG40OXUn\n", "hLARmtRmI+I8SNPR8Y6JIvJMVrrVmxDCysC7Ojz3KdV7mwSNu5kJsIqXUHEcp96EELZDZ0As3QcY\n", "hk6N2BCN9gN1xz6HJvG4klyp8pnAXiJSbkK0dosbTU7dCCFsD5wMbNJK0yeAE0RkUv21als8ENxx\n", "nI6MGUy3Az12QtOtthZM+T5az2CifpwP7NwohpPHNDk1J4TQK4RwEXA3sMnS6Pz4K4GHTK6k2QT8\n", "TYC7QwgXhRB6hhC6W9K/Do8ZNVb24uoa7DG3D8/b4zhOXbEhufFAj5Go5ZRm9slK1nakfuwBjLd9\n", "dXjc0+TUlBBCTzSV9Q49gNFoRdnFirT/Bq3ANprcePgCdKgcNMjwdnQc/eGOaiTULrnlTLTmmSe3\n", "dByn/oQQbgWG7oTeiMv1siwCfgLcpR8niMiutdQvC9xocmqKeZgO+Rb6h7JhK+0fQ6ttvZBYl0yH\n", "nGAKMFxEHquJom1I+WVUirE/6qPzMiqO49QXmwH3Qh+0YHml+U3eR1/1LMZpoIi8VAv9ssKH55ya\n", "YTFMh/QgncH0f2jtiBdQH8wo4C0073KTLY+ybcB6wH0hhJ/WQfW6YsbNgcA8TfHztwr28jfMYJoL\n", "HOAGk+M4dWY4aNB3NQnhVgL2iz+OKNqwg+BGk1NLTgYdakvjYdoLtQAOQcufnowmygkmq9u6d60N\n", "0Au4MYSwWa0Vrzci8ipqOAkcDxyA1pJrjS9QD9PxaF8OEpHX6qSm4zhOxLags+SqJWE0/agGu8sU\n", "H55zaoKlFXhqadQdWyyGCfTJvz7qYToELfHe2kR8QV9RLtaPU4ANOqK3JYSwL3Ap0Et9aCPQ29Ia\n", "xFdB0FxxV6NX52NQ+/IgEbmurXV2HKdzYdm9Z3WHMJs4rUClzAX6Agv05raEiHxVrY5Z4UaTUxNC\n", "CMcDpxyKRm2X4iFgCGoyvEv6P8h5wCqYCQFbisjDleiaNSGENdHAps3jtckyK28Bnye7PIoOybmH\n", "yXGcuhNCGAC8uSrwTo32uRowTRcHiMjbNdptm+PDc06t2AggzbhZZFT9hvLeYHoCB8cfR5bRtV1h\n", "xs8WaEjXeOATNZKeMvkcXcd4a7OFG0yO4zjZ454mpyaEEB4FNkuWmS/GkmgugbfQuKVyeJucP2aW\n", "iCxZZvd2ic2uW4m4ltwM4P2OOPzoOJ2JEEIPYJB9fEFE5mepT63w4bnidGu9iePUjvmowdQVddeW\n", "y2rWdyEsEULoLiJNtdMuG8w4es/EcZwyCCGsAexDPMnrfeA6EXmzzsddF81JlxtXDyH8vKNPqQcQ\n", "ka9CCK82wdrPkm4EoRTPkcvD90pHNpjAh+ec2jEdNHy5FLWovObuF8dxQggbhRDuRGsLnYTOKznE\n", "lt8IITxtE1TqcewemMHUn1zR2gHAbbatEbgXalPH4Kp48X812F2muNHk1IqnQVMJlKI7sASauPKd\n", "Cg4yDc0yiw7PdXgvk+M45RNC2BmdU7JTLzSX0IUmw8gNJ30feMza1ppBmMH0uknCcBpUtFfH4iLQ\n", "7HDvV7GT92hmNI2rSqN2gBtNTq24C+AGtDRKKaI72L8qOMil8eJ/K+juOE4Hx7xHNwG9DkQf6Feg\n", "tSwPteUP0KRoaAjKLfXyODUyIvIiMOFrdNLOogr2scj6WjbwCY0wdOmB4E7NCCE8DmxyKvAndBjt\n", "ETQFP8Da6Bz7h+ncKQccx6kcG5Lb6UD0JarYkL+gs20v0493ishPaqhDD+AVzNsEaqih81vWbqCA\n", "8BWAl4ClRwLnkd7Tsgg4HBirH2cC64rIjNpr2ba40eSUjd0wdkWDL1e01dPRfJWjugMnoF6nV/L6\n", "rgMcC5wJvEh5yS2HA5foxw6b3NJxnMqxoO83eqEepmVaaf8ZOmw2T28h361lcHihQHCgQwaChxC+\n", "h2brji7pZ8C9IvJ6CGE7tF5vj53Qe3BrZVXeQz1MVqh3PrCziNxTe83bHjeanLIIIYxAK6UsV6TJ\n", "HKB39GEFYAdbvhudSw9qbd2Meo8OAc6luMdpHvBbcgbTXOCHHbFwr+M4lRNC6IaWoxw9DB2GS8Mw\n", "cjE1fxaRMTXWqcOmHLDr+TM05912RZpNQp1FX6PvwUv3Qcui7AdsgNa2Ar0xP4de66vIDcnNBPZq\n", "FIMJ3GhyyiCEcBpwHMC66F9aFCjwNBqEGb1i9QAuQG9Y3W1dExpUeBj66nEk6mWaiw7VHWyymrV/\n", "B3W/X0puSG4usKeIeDyT43QCLIfZ3uh7U27m+wFoTGSa2bhjyWXCvVhEhtdcyQ5ICGFZYAKWVq83\n", "MBRY1bZPs41z4i4Po++3p1hTQAPGksOTC5ofZgIwshGG5JK40eSkwjxMY7ujRsyvaXnDWgSsjI7T\n", "XUKz7N3NuBR13S6NGk9f523vav8vbL56CjC8I3uYQghLAjuiNiKoLXiXiHyZnVaO0z4xg2kcuXrd\n", "zUk7tO9GU3PMYJoMrLUiGi4xDL0fJ3kYOAO4B7DESh8Be6BVxIejw3lr07xo5itoWoFxHXGYMg1u\n", "NDmtYi7od4HlrqRZxepmPAxsiQ7JTSP2MOXThAZ0fxivegK4HhgM/BTNSgCaB/O/qBPrkY4awxRC\n", "GIi+Kf+KlrWMvwGuAc6z2SqO4wAhhH2Aa3sDZ6H3HUGHfo5GvSDXokP9pajn8FxHw4bk7ge2GIjG\n", "HK2Y2D4fuAW94U4uvpvJ1uQWdFDhW7b+k46euDINbjQ5rRJC+AVww0DU3VPsze5fqHcpTbxB4kZ2\n", "koj8Je943QEaIQ9TCOE36MtuV4Ct0aFN0KHMB+KmC4FDReSSttXQcdonUWmmscCIvG2R92gztJp1\n", "MfICwdcB1qPlBJbr0OnwHSYeqVJCCLsCt6wIPElzg+lDNMDpKfvcF3UrrWKf30XzPMyOuzwF/ExE\n", "Eu+/jY+XUXHSsA9oDpRqM3oX4N38FY1gLEHOYLoYdDjy96gvO8krwNnAJWpUXRxCwA0np7NjHpHN\n", "oLBnez/UaHoMjaMp9CAT4A/oRBLgZeA+YPkCTXcBPgwhjBaRi6pUvb1zKOiQXL7BtAU6/W9V4I/A\n", "vqjhlOSfqHfvNGAabAw8HEL4gYh8VGe92w3uacoQG7bZhHg4eSbwRHsbpgkhPAls/BiwaYl2FQ7P\n", "bSEij9RK1/aCfbfPAV3PA3a39cvT0vCcDpyOziBEPU4btLffgOO0JWY0NYHGPOaPaX8NLG7LH9Jy\n", "Ku9nqMFkOZpydtW6qNWQnMAylngCC3CaiPypBqfQ7rC0Aq/1RoO2o4fOfNRgegpNoX4ncdBlMT4G\n", "fgw8ox+fQu/jDe+pA0BEXNpQ0Jn1+6AlAKSITEZnjPTMWl/T+UlAHgORErIIZG07h0tKtLskPs+X\n", "MMO90QQtQSA7gqyX+G7XA7ndrsNDID8D6dLy+38HvQllfh4uLlkJOvImYwvcQy5M/L30BNnP1l1o\n", "yz3j7fMB6Q5ypd2jCt23rrQ21md41udep+s5ApC9887/ejvvVUE+auUen5SPrI9ds19kfX5tdh2z\n", "VqAzCbAVmqpIAFnCfsBHmuwN0rf5w3MGMKQd6P0fQC5I8Yd0henew4yj+Ylt821dj/j8hmV9bnW6\n", "XkuiL8M5g6hv4rvtAvJ7kK6Ja7WlSeLGvaBRr4+LSxqxl0vpbcbQVyYX2jr7O3kOnbib/+KxCHWa\n", "fIIZRWnvXXbf7Z71+dfheo4C5I955z3EzruQcdqaJIzXB7I+vza7jlkr0FkEzaA9D5BBIBeBzC7w\n", "I5wNMs7a2I9xHrBrxrr/ApCBFH5Ty39rOypx81oBffPbD2T55je1fzSwl2kvQPrYuR4NMtfk6Lyb\n", "+1E0f7v7qPn1W+AeJ5fOKuhI9kUlPPIXWZs1gBPt80W2vEb0d7huivtWdO9aJ973nlmffx2uZwuj\n", "aQrxS92sCoymWSCLx9dsYNbn2CbXMWsFOoOYh2keIIeBLEjxY1xgbROGU2YeJ3Ra6YcVvLE1FbjR\n", "vYROnmtIg8mu1+HR+fY1Yym6NnOJPUxHlbiGv4+v13+yPh8Xl6zEjKJ9sKE6k0dtXcl7CJpcUc4v\n", "wwg4Lz7GhKzPvQ7XssXw3Nl2vgdUYDBFsn98zX6X9Tm2hfjsuToTQugJ/BvocRha8DDNDLSu1hbg\n", "AjVaxocQVhORefXRtDgiMj+EMBoYGyWsLJTcUoCr0ZlixuFoPbpo0tgrwKNif8HthRDClsARaB1h\n", "0Jiyc0XkoVofazoa6d0DS61ehOOA84Em+GkIYUURmV5rXRynvWP3iuuA6yw4HBFZULpXjhUhDvpO\n", "w8Z5fWtNCKELWrJkH5on074OuEdEFtXjuMa9oJbkTDQQ/HPbsEqxHilYNV5srRRgQ5C2YLFTObsD\n", "yw9Cp2uWM2U/WJ+B+nF5YLca65YaERkHnN6EuokGoWVSHje5wNYNw6a86CyUi0TkERH5l0m7S1AZ\n", "QjgGNZL2RK/x8rY82bZVwscAfdCcJqNQV+E8YkNpE0rPUFmO3EzFLsCaFerhOA2DiCwow2Bqd4QQ\n", "9gJeQ3NKDkONp+1s+S7gtRDCnvU6voi8Dkyag5azcirDjab6MxK03lrXVhoWoqv1Te4rK0Tkj+iM\n", "3c9fQt1Im5kcTm7a7odoksZ2P23XPEz/CKgxM9XkOHLG7T+sTbncBXzzNfoHdiaaMvdbwI1Va+04\n", "Tkqmg6YVSMtT8WJNPbshhKPREYfvrAycDEw0ORktPwV8Bx1ROLqWx85jLGhA6XSgn61skSyvDF6P\n", "F4eGEKaFEJpMpoUQbg0hHBpCWKL4HjoYWY8PNrKgTiLpS+Gg73KC7RKz6jILtgNWp3lsQb5MBb6X\n", "9XUv43zGA3JcgWv+h/icxle474IpB9ZGZ8/1oPT03g/JzaRbCKyY9bVyceloQjsJBI/0CCBngjQV\n", "OHaTbQt1OH6eLt2wdDcDQe6l8kDweXbvLPE8SMpsYDTQI+vfRdXXMGsFGlmAA6FlXoxKZO/4x3dg\n", "RueyOpYuoR/IsSB3mRxr60y/GcDqWV/7lOc0A5CpBa731MT5VLjvgejsNzkPZLrJIjQ3E3gguItL\n", "PQUNHZwB2aUcQJ3Nr2NGUWs6nBnrMBXoUqfrsiwaXyorggyg/JQDb9BshrdsDXIZyMvEM4VftnVb\n", "NzeengcGZP3bqOr6Za1AIwtaV1KOrIHRdGT8ozs6g/MIaMUC2RrkiwL6fdH8j+PRrK99yvOqm9Fk\n", "+/9NdLM42G4igia1jGbQ/R71KkXH/bC5weQpB1xcqhBgOKjX9gqKJ7e8gvoktwR2AGQV0s2abgJZ\n", "OdZj+zpel2XJS7C8KumSW76BppIBZA2QB1L0ecDa2rE+ANbI+rdRqXhMk5OGwcCm/dAsl0sWaLCk\n", "bbMx8s1CCIPbSrkqmAxaaDifS/PaVIJoDblDgIWXotVCt0ZrN22FWqJno/EMQ0xWtnXosNxBIvJw\n", "pcd3nM6OaC2505uA/VH37/noG+BjtjzQtiUnsKTZdwhhxRDC8BDCCSbDQwj5s+72Ab0JpIlp7WZt\n", "jX3T6FEJIvIpsA2aP/Ae0NJXP8ZmsRRhvnWYgd7DnrX/WyOv7YrALSGEHpXonjlZW22NLDTI8BwW\n", "n3NsCj2PifW8KOvrn+K8tgSNI/iDeZem2nIitmDLGhxnIDAO+Aqauaojb1Iyo/FC1P50D5OLS40E\n", "zVE0o8DfX86jTEoPk903brS/3fz9NNm2La3tJEAmlnGvnxjva1KdrkU/4IfobOzdbHlHLHv6qmim\n", "70IxTn9MeJgqTYaZ8DiNzvp3UYl4wd46YkVbX+iLzlRYvJX2xZiNJvSYrR8HSZ2KuYYQ1kFnx21F\n", "8yLC/YCV7kJ9zaW4G/3rA+4Vke3qoWctsbQC/yiy+VgROaOGx1oSvTxRtoGP0Zl2fYjTCrwmnpPJ\n", "cWpOCKE7MBT14EQeoemo83eCiDS10j8Ax6MT3ugK/Az1IAO8DPwf+tZjnIB6c7abSO6+2Cp3ATvp\n", "4j0isn3KbiUx3QejM7B/idZATTIPfVkbhOXVWxzYgzgP0+toMimAB0jnYSrEg6jHHX2J7C8isyrc\n", "VTZkbbU1umDjxuOq8DKNjS3zyXXScSfgfoq/hQnoLLDW3pjuitvfk/W1L+P8t0Rn0s0wGU8NPEwu\n", "Li6NI1gZkmAel/cL3P/et20JT/UzgJxcxv1+TNz3ihrpPYDErOcAsinILiabNtdX0CD0x4s9B7au\n", "4lkWyVbx/g7N+nstV9zTVGdCCPsA1w5Cx3TLzdW0ENgAMNfSPiJyfQ11C8CxwOmg7o5fmyRT1V5t\n", "8rWtO906FUrUeSxgrpmLRWR4rXR1HMfJCsvXNjkAN6A5BEoxHnXnRE/XlYG3af3+vwC1cN7TjzuI\n", "yKTKNFZCCN9HCxd/ux9wEBoZv0ZeuzfRGIx/kcsS/jGaIrA/cabvocCgy4ADqlEKuMx0AW4VkcyS\n", "NldE1lZbowvqBp0BWksuTb6QSBaBjIwt8hlAzxrr9gfbt/wV5MsSunxpbaL2pxdo8wXNUg8Mzvra\n", "u7i4uNRC0DilZsVuW5NEDqPZ0PYpB1D76yNAtm/l/p68z28f6/ARifQxaKx4bhZwNfJSfIxpWX+3\n", "5Yp7mtqAEMIQdIZCj8PQ0iitvXEsRIuhXagf56HTTyueyVVAp52AOwNwDTbFIwXXAr+y5TvJjb3z\n", "JbALOtYNPCYim9dK17YmhLAMsCGwlK36AnhWRD7LTivHcbLAZsS92xW6TiP2wrfG+8BqwEK9nXcN\n", "qBf+CGhR9HUBcC5wDDnv1F4iUnEBARtFeBTYdHvgv2jSqjTMB36KRrCTuJeHEJqAbnNpGRBVLvOA\n", "XrrYJCIdaxZd1lZbZxF0puY80KRg4yicJXwWGsM0MLbE5wG71kGf+zHvUblvCaOJY5zuQmfMdcTk\n", "lnnXIwCboyOR86DFWP484Cq0akzJ6uouLi6NI1iup6EV3Ct3ie8fN0b3kpXRuKWJJmNolptJgKNq\n", "oPMm2H05jYcpzagBOjNQ5tbA0zQ33vf8rL/fcsU9TW2IeZzGo0Vh6Yta9MvZ9o/QN4LZcZcP0TeO\n", "mnmYTI91gJf6oFNHyi0K9CX6tvV1y02PoXFXb1epYpsSQlgDuB6dXZKznpa37R8SR1EaTwJ7i8ib\n", "bamn4zhtTwjhBGDM8cApZfY9HvibLp6IFus9Fa0xV4jXgVFShYcpIoRwBTDsWODvFe4jEZ96hYgc\n", "EEKYBqzyMja9rgpeBtbVxXdFZNUqd0cIYTE01GwjW/U0WgLrm2r3nU++l9CpIyIyOYSwGpobY+Rs\n", "2LJIVPdkdGTuFhGZXwdVDgUN+K6kiuKS6BCdZYB7Dx2pu1REnqyNem1HCGFjVP9llwUORl8rV8tr\n", "9zZxoOSnalw9GkL4iYg8heM4TiuIyI0hhJuBbdG0B8n5NteiaVoWVXucEEI/4JcBvZdVyghyRtN+\n", "IYS10FFEHqN6o+mxeLGcesoFCSHsB5xDnCYn4qwQwpEiclW1x2h2PPc0ZYflcdqE5jmRnpA65WFK\n", "HPd5YL2HgR9UuI+H0Xn6wPMiskFtNGtbQgjfQZ1Iy+6EugD7ttJnNrAnmksF+BTYzD1OjtO4hBCG\n", "A+OGAreW2XcomvwITZx5cW01y3nJ96G5AfYWcM2mNDNOKmIzNPdAkq3R2I5q2BrN1wSMFJGxle7H\n", "DKYrQR+ke9j6G9HhAGNYLQ0nN5o6ISGEd4GV3yFOXFYu76AVfIH3RGSVWujVllig5OPA4J2A24Du\n", "Kfs2oUntzHB6EthU/A/JcRqSGgSCLwBWEZEZNdRpI2AMOhcnP/uLAGEXYEKVx4mMvj+j1lhUcqo9\n", "JLe0IbkPgKXOBI7K234mGliPOiNWqtVQndeeczormwGDl0U9TGkNJqztjeSSlwwGNq2xbo7jtBNE\n", "M/TfuhCtVZeW88llB7+1xgbTT9AQjh/3gjAMjeW4EBgGdCucQq8q1kfrcR5onw+kWextamYl9gGc\n", "WanBZOwFLDWYlgYTwNHAxrq4NDpAUBPcaOqczAQ10Ssl0ffzKnXJipGgCdZaG5IrRF9yydly+3Ic\n", "p2H5J2hi3/EpGo+nWQD2ubVSwjxMNwO9D0C9WVegQaqH2nIURf5hDY4X7cMKsTMWfVl8E53EVI7h\n", "NAv10FsswxQ0KL4aNoLS1lAiCenGVR4rhxtNnZMHQefWV0qi74NV6tLmhBCWBfYKaLBjpYwg90r3\n", "C8vt5DhOAyIiDwEnCJrp+08Uful8H/gjzbKBn2B9a8XpQK8D0KGyQjedrdA8Sk+QM1Aq4k00fqEX\n", "sJ6t6wGcbcsPosns0jwAHgS+H7edjqbRqcckp7rjRlPnZCxoKvufo7FJPU1WB3ZHZ4oVe4v4Ek2I\n", "mdxXB2MDoMfmtJwlVw6ro6kJ0HtJmwXDhxA2DyFcbtJhk4g61RNC6BtCGBFCuCGEcLfJDbauEieq\n", "U5xTMcPpNDQedFc0rcDxaPzPaqhVExlMVO9NASCEMDiEcCuwbS+0wnixMbh+xEbbRVUcc5z9/0ti\n", "TxPACvHiN2+i8Ulbo8+Tl9GEdvNs+bLE9oSHaYiIvFWFahFPQ+xZK0TCK1i7Wc5ZJ4pyaVtBH/B/\n", "QYMT8xM4NpO+lshyXpHklsB9WZ9PhddgD0B2q0GStl3ja7FHG+m+OZZkzqQJ2Dzra+rStoKWDzsf\n", "HfUo9jc8y9qskbW+jSTEBb6bClzzJmpc8BsNz8kdY1iK+9Lj1rYWyS2fyNs2ItblfGA0ViamFZlt\n", "bXvU8LoshoaHyBkFzuGM+NifA4vV6riep6lOhBDWpOVU0GtFZGqGOq2OzppdH2AIGji4GVqkCHSu\n", "6mPoHM7J6K/8VpPV0WQio+NdntYGajvNOQToFlW4vEVzrR2Cpk5wOgEhhB2Am7BwvCHAfsBKtv19\n", "9O/3Id1+GJpnZ3epsviro4gOtz0UQlgBDdP5tm36GPg/qW3Q99FYuqRBwAukm3UyGL2vP4a+IZZb\n", "RmUP1NLYzPYV8ShwefxxrIi8FEI4C807tT0aZxQ5o2ag3qBJwDUiUknseFFE5JsQwpHAlccA/yaO\n", "bxpPM9fSkVLLJJdZW+2NJmi6iEkUt7gnAZtkoNfq6P1UBoDcl+Jt4z6Q1U3vFUF+1/w8/pD1ta7i\n", "WmwHyA9q4Gn6QXw9tm0j3S8H9ZLtFh/78qyvqUvbCLAD5uEYCjKlxG9zirUh9oBsn7X+LmV914Oj\n", "++2VIMNt+cKU96Y30dEC0CK8X6T0MG2XuM/vAzLJZARIz3jbJVlfn8R12g/zOOXJ58B+NT9e1ifc\n", "SIKGCM0FpDfIQSAXmxxk6+zLnAv8vA316gE8B8iWlOeu/dL65P0Yj6UD119D4yfnBZC3qzCY3gIJ\n", "5OrSLdNGuvvwXCcVdEhuFiBHgCxM8RtdCPLb+LcyCx+q6zCCzreRI+27PIn0w3OR7Jy4b/dD64S+\n", "UaDdG7SoIfpNiRf/S4DuWV+fvGu1GDpwcp7JMKB3XY6V9ck2ipiHaS4gh4DMLPDD/Ny22Q9vTlt5\n", "nNAYJhlQpsGUfPtYPdb7qqyvdY2uydWAHFeF0fSHjK6JGU6Xm7jB1EkEjSGRXVMaTEnDKeFxOi/r\n", "83BJ9V1/K//F7g17SesF8mmK7/1Tcp6hRcAzScNnU7SY8C62nGcUPYqOTKyLpkuYbHIusG7W1yZr\n", "abcZwS1j80+AXWzVBOBOaacKhxAmAdsdgs46KDazQdCp6pZPf5KI7FBgX4MpUJtIKqjtZjNoPgD6\n", "3gdsU+4OjPuBH+ribDSLa03Hp9sam3X2yLJoHFe504xmo3eVz/Tj5iJSbcUCxylK8u/penNvAAAK\n", "k0lEQVR4ChrfUg5TsEBG/emuKCJf1VI/p7aEEPYHLv8xcEdi/U/QQplRyoFSz5mDyMUf3SEiO9tz\n", "ZSQ6Ia5XXpe5wA3AhZU8Z4oRQuiCxjqNIM5cMAV9TE6SGtTaa3OyttqKWNkBzdOVbwFfQTscFgLW\n", "BB1+K+RhKuRxSgzVfS+xn+3RshzF3KJPUmZcAvpjlSFVeFQiSQzTDc/6mtfoN/YEIDuCzC/jOsy3\n", "PnYtnmiPv0mXxpJa/B030t9vowvwB0COzvsOn0o8Ow4o4nH61LbZd/0NsFHevvuh78+7mWwD9KvD\n", "OSxB6/G9S2R9rcuV9pqn6cfAsD7ASSZ9dP0w29be2Cf6Z6kUjZeOOij7Qu7NYiKwcT90jukNJkeT\n", "y5OxMXBnCGFYGbptD3rhqiWxj+1rsLtMEf2r3hv49C50Ckwa19lsmtWd+wTY2/blOPVkG9CI10pJ\n", "9N2mKk2czNgInTbZG/Ui9Ufvy8kyKv3JeZia0FQoTyf3ISKfi8j9InKLyf0iUtPKDuZhuhnYblk0\n", "WdXLJqcCy2qz7YCbrW3HIWurrYiFejFo4FtkPZ8UW6cXZ61fAX0vBQ34TvvWd1F8PpeiRshCQI4H\n", "+aZA+29sm/VZQEqPE/A2IC/WwNP0Qnz8t7O+5jX87jZGjR9ZFo1xeqvAub+FxjAtE1+Dj4GNs9bf\n", "pXMIcDcgd1bx93tn/Nu9O+vzcWn1+94fkB8X+S6fAvkRuYkoxeQvGeq/Y3RPfbOA/m/YNtNzh6yv\n", "dznSsSy8xuVUoMvxwCnoW0Q+vW3bn/RjV/uYhhUhzsNUDWvEiysUb9WxEJGn0HQkT36KZvNdA9iC\n", "2He9ha37O7kYpifROKbaZZl1HMeJuR2YPxF4J2/DA+gD4wHU4kiSiHGaD1xQN+1aZwRoId1Cz541\n", "gN/nte0otFejaQLoA2yMyel529oZH4DW6UnLE/GiYENyJ6TodyI6vAcMtsC+1qh5xetGQ0TeRHPG\n", "bQ5cLTD/EeKkno8AomkFrkINrE2tj+O0FZ+DJlqrlPfixc+q1MWpMyLyCTBesErB6INiNDq2egt6\n", "Y98NfW6cYMtd4130AA6zCVVZsB5oaZli7Bovrl9nXWpKezWa7gSu/Br4s8nXuv5K29beuC7654sU\n", "jWdGHZTuoLMhCnmY8ultbY19i7ULyknR/mtR6CdhJdQs4217QZTHRGQ/1Du3HZpgdk9b7i8iw0Tk\n", "cTH/s+O0IfeDWu2Vkuh7f1WaOG3FuQDnoN/dScBf0Yf2KOBdNGgocizcbOuOJ/dgH40+Pp0a0i6N\n", "JnsoHQDsjCbSusSWD2iPDywReQ24Zw5wHC1dps3aolWw5+jHSViMexqXUcQm8WL/Qtvt7eJi1DEF\n", "aDr9akns4+nirTo+IvKZiNwrIjeZ3Csi/nbuZMm1wOzJaCmNcpkCPKSLs21fTjtHdOr/MaAB3qPR\n", "B/aNwMkUjpFYAY3bGE9sOIUQtqq7si2ZAqWHhW6NF5+vsy41pV0aTZB7879DRA4xuaM9GkwJRgHz\n", "LkYHaGcWaDCTZjma5pJuRK4S/gocvBialAPURVctiX14DSvHaUNE86JdBeo6KCe5zSI0u61xpXiO\n", "phzmkV/RpN2FMojImegEakBfuHcr3jzH7tbWOKLWeqVgHMBZNBuhyPGmbUu27Si0W6OpoyEiTwB7\n", "YYZTf+Bg1EC62Jb708xg+oX1+QA0sjgtiXioD/K3hRAGASdGbySnoYkbJ1OdT/5+mr2pXleiqeM4\n", "9eFsYPYENIg2jeG0CDiS3Bv/bHS0xwFCCDuj5aU+MHnO1rU3/g0s6gYcXkanw9Bq3sDQEELBUYk6\n", "Mgm451M0CPRU4BWTU9EAUnPd32PScch6+l6jCTp6djfFp4HeTaJ8ClaUsV+RVAOFUg8sHe+rxZR3\n", "YCwgIxN9Rlv7GpVR+UvW19jFpbMKeQV7ny/xd/s8XrC3xHXcGbUppS9xYVtbt3PW+uXpeihoge5y\n", "792Jot6HZqC3J7d0WkdEnhAtjbImGrv3L5OTgDVFZAdRD1PU/kngqc/RcerWGENu6O9JyZvyHkJY\n", "Avg1xMNyoGkK1keDwXcGvizjfL4Efoome0LHnv9WRnfHcWqIiNyN/hnPnoD+XQ9Bgz4nmlwCbGnb\n", "Eh6mn4iID6uTi/k8FQjHoEnaPsGCh3RS2qntbKju2wDrVNAx0efbNdIlNSIyC83XtCMawvSWya3R\n", "emvToeiWtQKNiohMpVkoQUmOByaeCl0Ejd7On0k3BzWYzGJZiMZQ5bMv0GdrtNJiRA/0VzoEHWLb\n", "ELiM1tMC3w8cSM5g+gDYVUTmpzgfx3HqhIjcHULYEB15G/YQ9H2ocNPZaCjiOeIpMpKsAKy3BPqi\n", "2tNWngxcBMzW6fIrANOzUa9xEK0td7dJQ+BGUztARCaFEA4E/vU36DoOnToYzZJ7Ak2Lbx6mhcBB\n", "Rd4aNwLYo8CG1dG4pl1Rd9EP0bfRYeiYc5S48k10ltyV5GKYsC67isjblZ2h4zi1xIyg34YQ/oS+\n", "LG0DLGObP0Pfea4VD/ouSnueVZTHx6AlSMol0efjGunS6Qk29ui0A0II26MzRotlIHgSGFXMzR5C\n", "uAnY/d9oRHoh5qPeqjNJV2sN/bvb0D1MjuM0Ajb09hyw3jHEYREnAGfo4hRgA2knD0cL4p7WDbq+\n", "S/pyDNOBVYEF+qK9qoi0mDjklI/HNLUjRGSSiGyCOpn+idZmvMmWNxGRTaqNS+iBjhl+gM7z3B1Y\n", "DXVR97Tl3dHZfsYrbjA5jtMomDF0PCBnAN8yMYNJgOPbi8EEYMbOfxYA55fR7wK0SCkwwQ2m2uHD\n", "c+0QCw4vJwtBxBeQzg/bFxhuUojEH2ehlFOO4zgdFhG5PYTwM+BUi2EC9TAdLyK3Z6haMc4FdjsN\n", "+D76YluKm9F0M4m+To1wT1Nj8TSoa6pabowXn6nB7hzHcdoVZhxtgKbQ648OybVHgwkReQAYvQgN\n", "vRhF4Sj16bZtL3J5vEaLyINto2XnwGOaGghLOTAd6PMizWfQlcOLwCBd/AqtudbhpoU6juM0EhaL\n", "9We0ogrdgJ8TpxV4CbgNDWAyRgMntaehxkbAjaYGI4QwFhgxEh3TroTDgAt1cayIjCzZ2HEcx2kz\n", "rJbcEcBQoGve5oVoeq5z3cNUH9xoajCsjMqULuhbR7k1Af4L7ELOtbueiFRSH9RxHMepIzar7ufE\n", "iSs/Bm7zoO/64kZTAxJCOAk4cTG02nVaw+m/wC+Ab/TjGBH5cz30cxzHcZyOiBtNDYiNfV8MHNwF\n", "GIGWVSkW4/QiOhx3ETkP0yXAcB8LdxzHcZwYN5oaFDOc/opWZQFgK2BPmvtybwTyBr5PQmdc+A/D\n", "cRzHcRK40eQ4juM4jpMCz9PkOI7jOI6TAjeaHMdxHMdxUuBGk+M4juM4TgrcaHIcx3Ecx0mBG02O\n", "4ziO4zgpcKPJcRzHcRwnBW40OY7jOI7jpMCNJsdxHMdxnBS40eQ4juM4jpMCN5ocx3Ecx3FS4EaT\n", "4ziO4zhOCtxochzHcRzHSYEbTY7jOI7jOClwo8lxHMdxHCcFbjQ5juM4juOkwI0mx3Ecx3GcFLjR\n", "5DiO4ziOkwI3mhzHcRzHcVLgRpPjOI7jOE4K/h+GY2/pBb8YBQAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,7))\n", "plt.axis(\"off\")\n", "\n", "for i in range(len(p0)):\n", " myplot(X0[0,i], X0[1,i], p0[i]*len(p0)*10, 'b')\n", " \n", "for i in range(len(p1)):\n", " myplot(X1[0,i], X1[1,i], p1[i]*len(p1)*10, 'r')\n", " \n", "plt.xlim(np.min(X1[0,:])-.1,np.max(X1[0,:])+.1)\n", "plt.ylim(np.min(X1[1,:])-.1,np.max(X1[1,:])+.1)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the weight matrix $ (C_{i,j})_{i,j}. $" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "C = np.transpose(np.tile(np.transpose(np.sum(X0**2,0)),(n1,1))) + np.tile(np.sum(X1**2,0),(n0,1)) - 2*np.dot(np.transpose(X0),X1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the optimal transport plan." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gamma = otransp(C, p0, p1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that the number of non-zero entries in $\\ga^\\star$ is $n_0+n_1-1$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of non-zero: 139 (n0 + n1-1 = 139)\n" ] } ], "source": [ "print(\"Number of non-zero: %d (n0 + n1-1 = %d)\" %(len(gamma[gamma>0]), n0 + n1-1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that the solution satifies the constraints $\\ga \\in \\Cc$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Constraints deviation (should be 0): 0.00, 0.00\n" ] } ], "source": [ "from numpy import linalg\n", "\n", "print(\"Constraints deviation (should be 0): %.2f, %.2f\" %(linalg.norm(np.sum(gamma,1)-np.ravel(p0)),linalg.norm(np.transpose(np.sum(gamma, 0))-np.ravel(p1))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Displacement Interpolation\n", "--------------------------\n", "For any $t \\in [0,1]$, one can define a distribution $\\mu_t$ such\n", "that $t \\mapsto \\mu_t$ defines a geodesic for the Wasserstein metric.\n", "\n", "\n", "Since the $W_2$ distance is a geodesic distance, this geodesic path solves the\n", "following variational problem\n", "\n", "$$ \\mu_t = \\uargmin{\\mu} (1-t)W_2(\\mu_0,\\mu)^2 + t W_2(\\mu_1,\\mu)^2. $$\n", "This can be understood as a generalization of the usual Euclidean\n", "barycenter to barycenter of distribution. Indeed, in the case that\n", "$\\mu_k = \\de_{x_k}$, one has $\\mu_t=\\de_{x_t}$ where $ x_t =\n", "(1-t)x_0+t x_1 $.\n", "\n", "\n", "Once the optimal coupling $\\ga^\\star$ has been computed, the\n", "interpolated distribution is obtained as\n", "\n", "$$ \\mu_t = \\sum_{i,j} \\ga^\\star_{i,j} \\de_{(1-t)x_{0,i} + t x_{1,j}}. $$\n", "\n", "\n", "Find the $i,j$ with non-zero $\\ga_{i,j}^\\star$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "I,J = np.nonzero(gamma)\n", "gammaij = gamma[I,J]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the evolution of $\\mu_t$ for a varying value of $t \\in [0,1]$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA2YAAAJZCAYAAADCjiYyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xe4XVWdN/DPuuncFEJCEoqQhBAw9CIiiIJSbKiMyqOo\n", "MyO2sczr6NhH31dffR0YHR0dRUTFsaAzoqIgUgfEQUBp0ltIQijpPSE9+/1j73Nyk9w0CNwA38/z\n", "3Md7djvrXJ9sznevtX6rVFUlIiIiIiIiek5HTzcgIiIiIiLiuS7BLCIiIiIiooclmEVERERERPSw\n", "BLOIiIiIiIgelmAWERERERHRwxLMIiIiIiIieliCWURERERERA9LMHuOK6VMKaW87Cm69mmllIdK\n", "KYtLKReUUoZu4tjRpZSrSylLSin3lFJe/lS0KSKeGbaHe1MpZedSys9KKY+WUuaXUq4tpRzxVLQp\n", "Ip4Ztod703rnvLSUsqaU8oWnok3x9EowiwplW1+0lLIfzsZbMRKP46xNnPIz3Iyd8E/4RSll+LZu\n", "V0Q8Y2wP96aB+BMOxVD8EBeXUjq3dbsi4hlje7g3tc7pg6/jhqZd8QxXqir/Pz5XlVJ+jNOwHKvx\n", "+aqqvrKNrv0l7FFV1dua12NxD3aqqmrJeseOx+0Y1tpXSrkGP62q6jvboj0R8cyxvdybNnL+Ahxb\n", "VdWt26I9EfHMsb3dm0opn8SO6iD3SFVVn90WbYmekx6z57Cqqt6OqXhNVVWDuru5lFL2KKXM28TP\n", "mzdy+Qm4rct7TVLfyMZ3c+x+mLTejee2ZntEPMdsR/em9d/zYPTFxCfyuSLimW17ujeVUvbEO/AF\n", "T0EPXvSM3j3dgNi+VVU1VT2EZ2sNxIL1ti3EoK04drcn8L4R8RzwNN2b2kopg/FjfK6qqkVP4H0j\n", "4jngabw3fQOfqapqSSmlkqGMzwrpMYunymIMWW/bEHT3hWYxBq+3bUf1DSkiYlvamnsTKKUMwEW4\n", "rqqqM5/CtkXEc9cW35tKKSdjYFVV57c2Sa/Zs0KCWWzyCUvTJb9oEz9v2cipd+GgLtfZSz0E6P6N\n", "HDu2lDKwy7aDmu0R8dy0PdyblFL64deYWlXVe5/YR4mIZ5Ht4d70MhxeSplWSpmGU/EPpZQLnthH\n", "iu1Fin88x5VSrse5VVV9dxtfdwKux6txK74LVVWdtol2XIvP4lX4PsZVVTVnW7YrIp4Ztod7U1Px\n", "7FdYhTdWVbV6W7YlIp55tpN700Ds0Hqprsz4KL5QVdX8bdmueHqlxyz+GZ9pJqR+ZFtdtKqqu/F3\n", "OA8zMADvb+0vpXy7lPLtLqe8GYdjLv4f3pBQFvGctj3cm45Sf0k6AfO7PPE+elu1JyKecXr83lRV\n", "1eKqqmY2PzOwFEsSyp750mMWERERERHRw9JjFhERERER0cMSzCIiIiIiInpYgllEREREREQPSzCL\n", "iIiIiIjoYQlmERERERERPSzBLCIiIiIiooclmEVERERERPSwBLOIiIiIiIgelmAWERERERHRwxLM\n", "IiIiIiIieliCWURERERERA9LMIuIiIiIiOhhCWYRERERERE9LMEsIiIiIiKihyWYRURERERE9LAE\n", "s4iIiIiIiB6WYBYREREREdHDEswiIiIiIiJ6WIJZRERERERED0swi4iIiIiI6GEJZhERERERET0s\n", "wSwiIiIiIqKHJZhFRERERET0sASziIiIiIiIHpZgFhERERER0cMSzCIiIiIiInpYgllEREREREQP\n", "SzCLiIiIiIjoYQlmERERERERPSzBLCIiIiIiooclmEVERERERPSwBLOIiIiIiIgelmAWERERERHR\n", "wxLMIiIiIiIieliCWURERERERA9LMIuIiIiIiOhhCWYRERERERE9LMEsIiIiIiKihyWYRURERERE\n", "9LAEs4iIiIiIiB6WYBYREREREdHDEswiIiIiIiJ6WIJZRERERERED0swi4iIiIiI6GEJZhERERER\n", "ET0swSwiIiIiIqKHJZhFRERERET0sASziIiIiIiIHpZgFhERERER0cMSzCIiIiIiInpYgllERERE\n", "REQPSzCLiIiIiIjoYQlmERERERERPSzBLCIiIiIiooclmEVERERERPSwBLOIiIiIiIgelmAWERER\n", "ERHRwxLMIiIiIiIieliCWURERERERA9LMIuIiIiIiOhhCWYRERERERE9LMEsIiIiIiKihyWYRURE\n", "RERE9LAEs4iIiIiIiB6WYBYREREREdHDEswiIiIiIiJ6WIJZRERERERED0swi4iIiIiI6GEJZhER\n", "ERERET0swSwiIiIiIqKHJZhFRERERET0sASziIiIiIiIHpZgFhERERER0cMSzCIiIiIiInpYgllE\n", "REREREQPSzCLiIiIiIjoYQlmERERERERPSzBLCIiIiIiooclmEVERERERPSwBLOIiIiIiIgelmAW\n", "ERERERHRwxLMIiIiIiIieliCWURERERERA9LMIuIiIiIiOhhvXu6ARERERERsWmllIKT8Ppm069x\n", "WVVVVc+1Kralkv8vIyIiIiK2X00o+x5OX2/XuXhXwtmzQ4JZRERERMR2rJTyClzSW18HORHc5nKr\n", "rIBXVFV1WU+2L7aNDGWMiIiIiNi+vR4OcqLDnNzeeLPfwilIMHsWSDCLiIiIiHjmGlVKOa35/WH8\n", "saqqNT3ZoHhiMpQxIiIiImI7tv5QxtVWud0V1ljd3eGTcDbOqqpqydPa0HhSEswiIiIiIrZjmyj+\n", "YaBhRhoLZphksTmtXbfiVVVVTd/INUdj3+blvVVVTdmmjY6tlmAWEREREbGda8LZyepKjMMGG+FF\n", "3uR59tfRLE28xhoPu9P1zrfQTOpwdkzXnrNSysvwCZoqImtdjjOrqrrqafg40Y0sMB0RERERsZ1r\n", "SuLvowllr/NxezqwHcqgQ4c9Heh1Pm6wEXAI3t/aX0r5O1yJE3vpYzf72s2+eulDHdSubI6JHpAe\n", "s4iIiIiI7VwppQMTMeYkH7CnAzd5/ENuc5mzqOec7Y1j1aGsHOyVDnSC/jrBMkvc7gp/cQlUeHlV\n", "VVc/VZ8lupces4iIiIiI7d/RGDPQMM+z/2YPfp4DDDQMxjbnfkITyo7w+nYog/46HeH1DvZKKM2x\n", "8TRLMIuIiIiI2I6VUvriVBhp7DrDFzemQ4cRxrReHqIZvniQEzZ6zoFOaA1rPKkpDhJPowSziIiI\n", "iIjtVCnlxbgLH3wSl9kVRtlLvy49Zevrr9Moe7Ve7rvRA+MpkWAWEREREbEdKqV8HH/AuH4Goi6J\n", "v8bm149eY42ZJrdeznqq2hjbToJZRERERMSTVEoZU0o5o5RyVyllRvNzV7NtzOavsMH1Po4z1XO+\n", "LLcYLDbHw+7c7PkPu6O1ptkk/Aqme9ByG19zepklpnuw9fLerW1zPDkJZhERERERW6mU0qeUcmgp\n", "5W2llBvwoLpoxgSMaH4mNNseLKX8tpQytpvr7F1K+Vop5ebm52ullDfjjNYxOxttZ3u2z7ne+ZZa\n", "tNG2LbXQ9X7RenlpVVWTcflqK93mio2ed7srrLYSLsuC00+/lMuPiIiIiNhCpZTd8G68B7u0tnfo\n", "bS+H29fRhhgJFpjhXn/0oJussYp6SOErq6q6ubnWm3AedcWN7pzofUY7GEz0Z1f5PqgXmH6j5zlg\n", "vQWm73C9X7QWmKYOjBPwYimXv11LMIuIiIiI2IxSSsHn8Wn0gqKoVHY3wXFON8Cgbs9dapGrnesR\n", "d1OHsyOba9yFPuMcYV/HgHv9j4n+DIba1Zv8n3Wu9UtfMMcj7dcDDWtXX5xpcmv4omF2t8Iyi8yG\n", "t1RV9Z/N4tFnofTSp13oY7oHWz1lFd5XVdV3nszfKp6Y3j3dgIiIiIiI7VkTyr6H04titEMsMc9M\n", "k+1uglf4oI46q3VrgEFe4YMu9U2PuHtnfF29WHSfcY7wMu9sH7ur8SqVB91oWTfDFVvvs68Xe9S9\n", "FpndDmMwyHATvMQEx3rADa71U/g7/GdVVWeXUu7DJ1ZbedKj604juwxnpqes5ySYRURERERs2udx\n", "em99He+9djTKf/qMDr0d5/RNhrKWDr0c53Tn+aQ1Vr1a3VvW7inr6vle4kE3WmqRyW41xiFgslvN\n", "8pA++jvSm/TR13QPWmIe6DTUKHspzdDGcY5wrZ+hOqqU0q+qquVN8Lq6WaesVRL/3swp63kJZhER\n", "ERERG9HMKft0URzvvfawvz/5FSp7OXyjwxe7M8AgYx1moj8VdXGQzbrC2e3CH7M8BA5yor76g13s\n", "vdFz+xpgRyPNN70PDsBNrX1NEJuyxY2Pp1yqMkZEREREbNy70Wu0Q+xhfzDV7WBfR2/1xZ7vxa1f\n", "d6aeU9aywAzX+bnLfRsMMFhvfczyULun7HCvdYhXbfH7DTK89euorW5sPK3SYxYRERER0Y1SSh91\n", "9UX7Oba9fVmzplir+uLW6HJOoa60WKkMMdKtfqfqsnj0Ugt16OUQr7SL8UYY2+4pi2efBLOIiIiI\n", "iO4dgF0GGW4X47fphTv0ssZqWPOgG9uj2Lqr0Hiby433oicUypqqjDD9ybc6nkoJZhERERER3dsJ\n", "Bhmm1B1coL+BllpkgRl2MGSrLrjADNTDFJuiHX9CfxyyqQqNd7nGUU7dqvdaYan59futxB1bdXI8\n", "7TLHLCIiIiJiK+zhQHCvP271ufe4FowwurVpqXr9sI1WaITpHtjq96rXQ6vguqqqlm/1BeJplWAW\n", "ERGxFUrtFaWUs0spvy6lnFFKOa2UckwpJf9djXiGKqX0LaXs2/z0bTbPhUXmqOqAg1ZYKh50k6Xd\n", "rDW2MUstMsnNKF3Pu2abfID1rLbSHf679fLsp+I9YtvKf0AiIiK2ULPI7H/gErwXr8MncB7+gAdK\n", "KR8rpXT2WCMjYouVUoaUUj5USrkVC3BP8/NIKeWL6kWgpy0y2zT3t88bbLg97G+NVa52bmuu2Cat\n", "sdpVvm+NVfrrNN1EWIzvqu8f61RobLmn3mXUJsrid+dmF7eGTU7Er7bq5G40D6UOK6W8vvk5rLkn\n", "xjZSqqra/FERERGhlPIW/LT1uq9ddDoALHGHFaa1dt2qDm7DmtdZvDViO1NKeR++jE09SLkOv8en\n", "xzjUCd7b3rHQLL92pmUW2d0Exzl9o2uaLbXIVb7vUfd03bwYp1RVdWUpZW/1gtN99vKC9vDFe/zB\n", "g27UoZc3+T9bXAXyfjf4vf9AVeGYqqq2fsxlo5TSH6fj/dhvvd134SycW1XVsif6HlFLMIuIiNgC\n", "TS/YQxjWz/Ps7iOGOErRC1RWW+A6j/iq5R7u7hKX48yqqq56+lodEd1pQtlZsIvxxjgUTHZLu2es\n", "rx2s8Dh8A39flHKSD9ijeRhDveDzJf7dMot06G2swzzfi9sBaoEZ7nGtSW5q9aqtxF/wW3y3qqr2\n", "05xSyqn4Cfqs397RDvZy79Jrw11glRVmmmyphR50sylube36RFVV/7KJv0PBieref/gNLq+agFBK\n", "GYaL8CLqgiUjjIH2+zWux8lVVc3Z2HvF5iWYRUREbIFSysfwL/08zz7O1cfQbo9baZ77nG65h/Xz\n", "PH3tYrG/qKygnoX//qqqMt8jooeUUgbjMXQe463t3qmWe/zB/zhPL32sthJm4c94dW99He+97YWm\n", "qXvOrvNfproTG/1eXeFifKiqqkmbaNve6p6pVqMex9EoQ4x0gJcb5wh9DQDzzXC3a9zvOissXf9y\n", "S9Vzy86uqur+9Xc2oewcvGu9Xd9Tr93WD1fhRZ2GOtIbjXawXk1R99VWmeIvbvCLVnXJ6/Gy9Jw9\n", "cQlmERER3Sil9FOvYTRKvRDst7HbXr5mx24qp3U13x886CP62s3+LrDaIjP8xHQ/oP6C9vKqqq5+\n", "ij9CRHSj1Vu2i/FO9o/dHnORr5jmAf3sYHnda3YYbkCfohjtEPs51i7Gt8voLzDLTX5jqjus1M4m\n", "89Xh6JyqqiY/wfa+GD/AuGaLIUZYZUUrEIFhdjfIcNRrl83xSNfLfBMfrqpqVZfrnoRLe+njICeB\n", "21zWCqMnNe/3rU5Dvc4nDNzIw6jF5vmNM1tt+UBVVWc9kc8ZWccsIiKiranE9gb1/LCjrfffyb52\n", "McRRm73OEEfraxcrPGqx2wxyiN18AEz3g6IuGJJgFtEzDkN7+GJ3xjjMNA9YrZ1jHsfX8dFKZbJb\n", "THaLQYYb1EwlXWRO18WcK3wBn6ueRC9I07s3sLnWC/BSqgkLzOjVOqafTvs51mFeo3Sp6zfb1KY3\n", "7XprrP4gdiulnNolnL0ODnKSw53cbvYtLobXa3rtjvTGjYYyGGioI73Bf/sevK+U8u0n85mfyxLM\n", "IiIidP9Uur/R+trVSrMsdb9OB7TnlG3yWnrptL8VplnZLCYLI73NDOeprDiplDI6BUEitm+r6iHI\n", "szAJn8HBOB469LLI7K5hrOVBda/4Q0/0fUspB+F9eJuNFicpimK5JW5xsUXmONbftMPZcHt4ibcb\n", "70Uu8y3LPX4Kvoa/34Im7Iz9BhhstIM3e/BohxhgsKUW7o9DcMsWvEesJ+XyIyLiGaWU0qeUcmgp\n", "5W2llJ+VUh4spcxofu5q1hUbs5XX/Li6XPW4fva0h0852NX2c769fd0of71N2t7bEAPXfsnZd5tc\n", "NCK21s3UhT42ZnJ9SMs5VVWtaBZofg2+gkXdlMhfgq9iwhMNZc1aaueqC4S8F50jjLGXF9jLC9qF\n", "N2qVcY5wjLfqo58H3OB+129wzVHGOckHdNQPlT7YzGOjLvThNpe5yYVucqHbXN467S4YYUx7Ttmm\n", "9NLbzmsXzN5jaz931NJjFhERzwillN3wbvVT5BEbOWwEJuDjpZTf4X9taqJ9c92P40yKUd5hF+/S\n", "oe86x/RpKqwtcYfK6s32mlVWW+LOdc6NiO3GefjyNPd33uMP3Rb/mOaB1ss/4UutF004+1gp5f/i\n", "Tdin2XUffl5V1eIn2qhmKPWFOKmXPvb1YhO8xFC7rnPcPI+52x/c61oPuMFSC73QG13rPHe62j6O\n", "3uDao4yztyPd54/U99CPqCvFfm+1le9qhi+2fE8dDONplmAWERHbtaZy2OfxadYmoqKPoU4w3Ov1\n", "bx7QLjPVbL82zxWlsvLVOKKU8sqqqm7eyLVfjDMoRvu8YV5ltSUWNk/SOx2gl04DHaSv3azwqAWu\n", "22zxjwX+aIVp+trNQAe1t6+ywOK133fufYJ/koh4EqqqWthUWT3rf5xnoj8bU087M9nNXUPZJXhj\n", "VVWPd3ONRTh3GzftbJw0wCCv8Pd2tme3Bw21q6O92XhHusQ3PeJuAwxWdJjjYaus0Hu9h0uwn2Nb\n", "wewdpZTPVFX1eCnlPThfPacMfo0rqCfgzTTZaqs222u22iqzTGm9nLq1HzxqqcoYERHbrSaUfQ+n\n", "1/MpequsNNiRRvvCJkvWT/FZC91APT/kyPV7zpqn03dh3Cin29X7TPM9M/zYmroKmw47GOntdvEu\n", "M/zYo75h8+Xy57rPOy33sN38r3WGQT7qW63KjJdVVfWKJ/nniYgnYRMLTC/Fx6uq+maXYztwAt6J\n", "vZrND+L7uKKqqjVPoh0Fp+CXFLvZxyA7G2iocY4w2M4bPXeWh1zoy00lxYLK6f6922AGv/SFVrXG\n", "Y6uqumYzbboD+73cu+3lcDDXY+010kY7xE5Nb96DbmwV/7gTBz7Jgie91cVOWjfPH+GzXStKPlsl\n", "mEVExHarGS702Q799TfW4+422JHG+TdlM09wK6tM9A+tcPbbqqpO7rq/lPIW/LSfPU3wM9P90DTf\n", "ATuYAB53N9jV3xnhre7zLkvdp15g+sOGOHq9Bab/6BFfs9zDBhhnHz/QywCrLEi5/IjtUFP18K2a\n", "So3q+WfnVVW1sMsxB+G/rB22uL41+FhVVV/dyvceog4fH2HtBK31Pc/+XuB1hm9k6tYf/cxdfg+G\n", "eZ43+MxG3/MyZ3nIbfCGqqp+tZn2vV+XcvkT/cmfXbDOMUc4xTgv3Kbl8ksp/4xPrrf5jKqqPvVk\n", "rvtMkGAWERHbpWZO2UN09NrTZzzkC4reDvC7jfZWrW+lee7wKpWVFV6mLg/dmlAyArvv4VN28gq3\n", "e6U1HreXr9jRsWCeq03yMR06Heh31ljqAR+y1H2oy+d3NgvNLnGnFaZ1efc+BjkE1l9g+n1VVX3n\n", "yfxtIuLp0YSyP2DwQDt5vpfYzfPBo+5xjz9YbC71v+2Dq6q6fQuve6R6PtnOMMAgO9oFzDfNUovW\n", "Ob5Dbwc50QFerr+B6+yb5zHn+zw42pvt57iNvu9WBrP+mgWmm4qLimJ8s2TI/a5TqVrVGOE69UOn\n", "J7XAdCnlUex6vPeAK50Dj1VVtduTue4zQeaYRUTE9urd6LWj4yzzECpDnbDFoQz6GGqo4811ScF/\n", "66YacYd+lrjDGo/bwYR2KIOhjrODCR53tyXuMNiR9vE9s5xvll9a4dH1whjqoZejWXn8In/uuv0y\n", "nJmesohnhmb44n9h8GgHe5l36a1Pe/8Iox3geFf5nin+UvDzUsqEzQ1rbELZVRgwwhgHOsFoB7eq\n", "JlpjtSn+4nZXmGmyosMaq9zqd25zmf293BFO0dHczoba1QhjzDTZoE0Me4TF5rR+nbOp46CqqmWl\n", "lJNx0VILXwTjHeWlXYZn3+ePXUPZa59sKHuuSzCLiIjtTimlD/Xj0hHeZKp/AcPb89O33HCnmOsS\n", "6NjJKwx3CpjtAnNd6iFftIdPb/H1ehlglL820tssdlt7nbJHfdMK0+E7VVXdVEoZbW1J/HuzZlnE\n", "M84J2GegnTYIZS299fEy7/Jz/9tic/dRr3F2+QYHNprhixdiwN6O9FJ/3Q5kLR16Geswox3sGj/y\n", "gBv00ttqq6yx2u3N5Y/0hvY5gww302TLLdnoh5nlodb8sgV4pJTSe3PztqqqmlNKeRl+jpM3ctjV\n", "OK2qqs2GvZZmHtnJON26c/bOxY/xiaanrOVHW3rtZ7IEs4iI2B4dgF3qqoaHWWU+tKsvbo3WOUVf\n", "Y3zRMlPNcr5lpuhlsNUWWujPOuzgcXeb52pDm6FA81ztcXfr0KnTAetct+hoD1WEOS5pBbNR0ASx\n", "KVvd4IjocU2A+mfqf+uX+nf9dNrVeHs7Ul8D2sf21sfzHePGelmwd9pEMFPPKdt5hDHdhrKuOvTy\n", "Un9tgRntnrNK3Rl3l6sd7KQNhjXONtU4RyjKOtsXm+caP2y9HIKJmFNK+T7+vaqqRzbWjqbn7FM4\n", "+X7Xtbd3+f04TCulXIZv4+JNBb5SyhHqoLd+2cnnq9eJewg/VAdjmuIfG7ves0mCWUREbI92gn52\n", "2eALxhPVoZ+5rjDFZ1XW/c4wz2V29HLzXWmSj21Q/GOUt+u1QeG2iHi2KaWMVxfjeJumWuMisy0y\n", "G/Wi1H9ygb290AGOt2OzTuFuJrSC2T5drtWpDhq7N5sewQfgQCdsMpS1dOjlQCe40jn66GeFpQYa\n", "ZrE5pptodLNgfat9d7jSUosc5x3te+cMk/zO161UjzIcYBBYatEwfBzvKqW8uqqqGzbWjqqq7iql\n", "nFmpPtGU3Af9dOqn02JzrbHqJJyEu0opJ1dVNbmbv+8R6h62HYYYaYKX2q0ZWPCoe93tGgvM2FO9\n", "RtxxVVX9ef1rPJslmEVExHavtx2tMtcyU/UxfKvOXdYsqdOhfzuUdTekcYHf29mbzXFhO5B16DTK\n", "243yzs2+zwqPtn6dvrljm1LUh+J5zaaHccuTKTEdEU9OKeVV6p6cTtjVPvZ2pM5mXusS8zzgBo+5\n", "zz3+4AF/crz32KMpANQ4sJTyb83vf6vunVrHAIPbgWpLjHawAQa1C4Ks2eDB0mNmmqxDLx16mehP\n", "9nKYPR1ksXntULa7CQ73Wjs3BSBnmeImF3rE3Tvh4lLKQRvrOSuljMHfQF8DjDDWoV5tVDMKcZkl\n", "7nedu1xtkTn74bpSylFdw1kzfPHn2GGcIxzrb9cJpzvZzX6O9Xv/YaI/76CeszfuuVAmvyXBLCIi\n", "tkdzYblpKpUhjrHMJLP92qB63dMtNrsp77zG8nYoG+OL7f2DHKZSmecyRXGgSyxxB9YuML05qy1u\n", "CpRYSXNyN5oqZ6fj/dhvvd13lVLOwrmZQB/x9GpC2YXoNcahDneyoc0aXV3t4yjzPOYmF5nsFpf5\n", "lpN8wJy1ayoXfKj1YoQxRhoLHnaX+abb0agt6i1r6dDLjnZpB7PHLdBLH6OMA3e7pmnb0QYa6ka/\n", "McVtdrCja/ywHcpe4YPrvO8IY7zCB11aL1K9Ez5owzL1rUB1EUbtYryTvF8f/S210OMWGGCw/jod\n", "6AT7erHLnGWa+0fhoibsrW4udTL2HGLkBqGs62c91t+aZYoFZu6p7nH89Rb/sZ7hNqhOFRER0ZOa\n", "uR1HYekKj1rsZjv7KxTzXGFlvVbOFllpnnmuBKvrymHtnrKu6uuz2K166TTYkQY7couHL851qbpa\n", "tuuqqlq+kc81TF2J7VvYr7dhhniJIV6it2HUQe1buKo5NiKeBs3wxZ+j14FOcLz3dBvKWoba1fHe\n", "40AnqKxxpe+01xHroz8YaS9/5Z+83ie9yKle5FRHe8s2a/N+jtPfQLNMcW8ztHCCl7b3T3GrC3zJ\n", "3KYn/3Cv3SAIrbTMNPfbY+382Xc1IWx9J2O/HQxxgvdaZYWLfMVPfNxPfNxFvuJxC1D3pp3k/Qat\n", "vae9ust1Tm+1c3Nz67p8ls0PV3gWSY9ZRERsN0op78OXWZuIZjrfXs40xNEWuNYUn93iBaYn+4zK\n", "SjvY1+PufUravMYKM/ys9fLsrvuaIYsn4q/wWozqY6Td/YMdHaujqfK2xkrz/d4j/s1KM16kftL8\n", "svScRTwtPoLOsQ7zQm/YonmtRfFCb7DIHJPdYpUV+trBCo8baS+v9g9664s6AE3053Z4m2+6NVZv\n", "ca/ZGqvN77Isxz5e7AinmGWKS/y71VYabg9T3e5Wl4LlHqeuvjhkgEHt4YtQqdzqEre5rD3vrDEM\n", "I1k7LrsJrT+m7qn7qU/p0MsKS/Vq7l/TTXSlc5zso4qirwH2c5wb/IJ6dMCFzeX2QntO2aa01oqz\n", "tmLjc0KAQp8/AAAgAElEQVR6zOIZq5TSUUo5ppRyWvNzTLPmSEQ8AzWh7Cx0DnSoXfwdivmutsC1\n", "nuejehtqoRtM9A+b7DlbaZ4HfMgif1L0NtwpBjoca4c2djVLvc7qwC5VFrfUNN+1vB7GOBHtBVub\n", "UHYOLlWX/h/Vx0j7OtdOTmiHMujQx05OsK9z9amLCbxI83Q5Ip46TQ/92+AwJ29VsaGiOLxLBfnV\n", "zdyvo725HcqmusN5PuV/nNfuvVpqoSn+ssXvM8Vf2sMYd7WvA73c9f7Lhb5imcWoqzHe6DdWWQ7X\n", "4Fgc1t31bnWJm/zGSssMt4fh61a7/fv256t7z/4bnf0N0t8gq6xoh7LTfMlpvqSXPqab2FrPDPV6\n", "Zx31w7OTSik7bvGHfY5Lj1k84zRVjt6Pv6MZuL3WpFLK2TirqqqNL+YREduVUspgdU+ZPXy6PbRw\n", "oesscbtJPmmsM43zDRP9Lwvd4A6vMtTxhjulXRJ/malmu8A8V6qsRN1zNrWueo162GGlar/HLL8y\n", "z2XoZWdv2qp2z3Gx6f6jfhv+tqqqFV12n4h30VdvnVaZZ3f/oG9Txa07fY20uw+ZXK+r9r5SyrdT\n", "ECTiKfV2dO5qH0PtstUnD7WrXYw3zf1WW2GEMe2gM9UdLnOWyhojjLG/l1lotpv8xu2uWGdR6Y2p\n", "1y27onlVLLXQ+T6//mE/p0lo9Vywu5vfH8WcpRYNm2WKEcZYaZnbXAaO915jmzm7k9ysWTfsfaWU\n", "L1ZVtRifwO79DfIW/w+Vn/r0JtdKa+mv00BDLTQLRmC+ep2y5z/qXjvZbZPnP+qe1q8PbvbNnkUS\n", "zOIZpZQyCpfQKme0p/rBMlyPh8biX/CWUsqrqqrabHW0iNguvFXTU9YKTNDpIEvcbo1lJvqwHR1r\n", "dx8x12UW+qO5LmktHt2de9ST8F9Ee8LCbJwyz2V95jVfTtZa7THfNthRit56G2KgA/Xqsk7QGsss\n", "caeV5prnCvNd3dr1yaqq/rjeBV8Hw73KbL/W2zA7Onazf4gdHae3YVaZsz8OwS2bPSkinqhjYW9H\n", "PuELjHekae6HdqGPlZa5yrkqaxzohPYQyRWWutNVZprsGj/a5Fpma6x2jR+ZqVXYsDLPY+39Q4yw\n", "wEy4F2eoC3ecTfvpz4xm39E3udArfNBMk9s9ZWO7FFIa6zDDPM8cDw/GC5sRSP93bWtaz4fqHsXV\n", "Vvpp/QDJ6uYh2ByP2GHDIpRdnYvX3O0a+zl2k5+7VdAE39/UBZ9tEsziGaPpKWtC2Th8Da+k/Q97\n", "dbP7w5h4CH5XSjkmPWcRzwiHwVAvX2fjgGb90T5GWWmW+a4y31X62k2n/a00y0qz11+X7EGc0KVM\n", "8xVdd5ZS9lb3ur+k2XQ39sfB81xhXpfDOwywk1ca4miL3GSOi6xuP5huW4pRpZTxVVXdv/7O1c3T\n", "5U77rTN8cWM69NFpggX+B/aQYBbxVBqKdkn8J6K7cyf6sxUeN8KYdeattYpjXOQrHnCDBWY40Anr\n", "9J6ttsoUf3GHK7uEsrUGGWaJBa1QRh3ALsMxdXvqkYNLzB+pCWmPuNulvtm10Mem/BL90dFPp2UW\n", "+ZnPgOUWG2xnAww2o+nM6jTUEvPc5ELPa4rNLrPY4rXDzVsNvQgPLTBjz9/7j24rM66x2u/9R+uz\n", "PYTfbkmDny0SzOKZ5P3aoew67Lze7l7qqqovVBd0m3hIc86Xn85GRsS2M9QJHvY1K0031lctda/Z\n", "LrDCo13XDWvWOZtPPZzn4GYYTreqqnoAHy6l9FU/XX5Ha1+nA/RthjOtMM0Sd5jtV2avnTpmgPH6\n", "NRXblnvMUvcPUD8R+nAp5Zv4cLPuzm/wvnlre9WeMs1ckC/gr5tNP8Jnn0vr/0T0hMoalbWjjWeY\n", "BO5zHdjfyzaYtzbSWCf7qIt9zUyTXekcAwyyY3PvmW9ae05Z0eFQrzbECDNNdr/rLTKHtdesMBrH\n", "dBrqOO+wi/Fgmvtd7VxL6nujR9ztkWaU42xTTXKzsc00tEluNsfDrWsOoV48+jU+4r991/xmecYd\n", "jXKi9xtiRHtOWR/9/dQnzTLFTFOMMNr9rm+tt3ZZVVXzoaqqVaWUU3H1RH/eYZYpzQLTdaGPR93T\n", "LDA9Ex7Hqc+1e1jJ0PXoaaWUfjgAo5pN03FH15LTTZf6RIypH7i8ZjNXvUhdAM0k7F1V1Zpt3e6I\n", "2HZahT8GOtQ+9TyHtkd83Qw/1ttO9vKvOj3fUhOtasozrzDLI75udf109itVVX1sC96vr7pS2ElF\n", "P8O93s7eYMB601aXmmSWX5rt1yrLdTrAeOes0/P1uHvN8gtzXNya13YBTlV345+Dd0Fvwxzgt5vt\n", "NVtjpTu8xipz4LCqqjbbY1ZK+Wcbrj90RlVVn9rcuRHPZaWUX+ANL/U39nHUFp83x8NudKGH3amu\n", "c1jBKvT+K//kd75hmUXe5l82OrxvhaWu818munGDRaOLDuO8wNHeoq8B7e0rLXeL37rN5V0Pn4eh\n", "r/ERu9pnnes86l4X+5p+dtDXDhaZvc7+4fZQqdqhbKzD9NLHA25woBMc6Y1NVcgZYEcjux2CeINf\n", "uN0V9vcyh3utX/pCEyC9rqqqC7seW0o5Qj0vbs9u/zB1T9mpVVX9eSP7n7VSwS62SimlTynl0FLK\n", "8c3PoaWUzY/N2fA6fUspbyml/F79hPtGdZq6qPl9cSnl980xfXE0xtT/hl+5Be/wKs2/97HNuRGx\n", "fTsPSxa7pV0hsbLGAtdb7lFFX6vMdZ93uNtp5vujJe4yzXc95HOtUHYF/mkL3+9snNTLYLs3c9e6\n", "fLlqG2CsPXzMPr6rt6GWuMNUX1rnmB3sa0+fMd639TIYTsHXmqId78FJmLvKHPObctmbMt/VrVB2\n", "J27dws/z1zDWGcY6Y51tEbFJv4cH3LDFJ8zxsN/4sqluX7/HrAP+6D+x+Y6PvgY41t96k8+ts30P\n", "B3qnbznO6euEMuijnxd6gwOd2HXz0E47tnvKutrVPjrtaLnHvdTfgKKX/gah7jmb42G99fUCr/Ny\n", "77ZKXcOoVWK/Qy872dVOdt3ovLDWsYvMcZmzWqHsLly8/rFN4Bqnvlf+Vj0f+J7m91Mw7rkYyshQ\n", "xthCpZTd8DH1Qn8D19u9uJTyfXy5qqpHNzh5w2u9GD+gWbJewb4Y0xwxGff2pnqpesL+RPWXNvUc\n", "/i1Z96MXjlQ/dPG8LTghInpQVVULSykfw1lTfcksv7LSTKvM3eDYZSaZ5ttdNy3Cd/BP61VF7FYp\n", "5Wi8g2K1hR5eG2T0NtTO3mikt65T9KPTBON8w33eZY6LjHCaHey9znUHOtg4X3W/96ms/GAp5RvN\n", "sMnLSymfxbce8W8GOnCjlRlXmOERX2+9TEXGiKfej3HGY+7rnGfaFlVmvNGFVllutEMc4zTwP35q\n", "ils7sHSGBwf00Q885j7jHLHJ693RZV5rXwMc7906NtN3cpjXuNf/WGHpZtu7vg4dDnKiP/kleIHX\n", "299x7cWxn4xH3dMKdtNxclVVq7s7rhmi+OvmJxrpMYtNKrVv4GF1dbP1Q5lm24fwcCnlG83aPRu7\n", "3sfxB4xjH/VD63nqufcXNz93N9vOVh9jHP73tvpMEbF9qqrq2+p5oUuXutcqc/U1yq4+YF8/tK8f\n", "2tUH9G2Pegb/hV2rqvrYFoayI3Fl845628lAhxroUL3tZJV5pvmu25xgznpzzjs93/C60KJZ9cKp\n", "GxjoYDt5Vevl+7rsOhfXrzTDvU431+WWuM803zPN9yxxn7kud6/TrayHDF3XnLOlfgSTfNKktSMa\n", "f7QV50c8J1VVtQA/gZtcuEGv+QbHW9MMX+QYpxlgsAEGe3ET0NAHD6+s1xNzp6s2ec1KtU5v3Xgv\n", "aq+Btil99DO+XZW6WGJ+uzJkV4+5zxLz9TewXSZ/Dwfo3QTHUcY5xCvXCWWt4iGzTNlsO1paxzah\n", "7C4c1aUAU2yhBLPYqCZgXaBebLDQV73cxzV4rPm5ptnWV32Mv8cF3YWzJpSdSSn1aKPb8F66HXs9\n", "pNl3m2ZkUnO969XTNjZnNWtvdA9v4sCI2E40C7321vwj721HO9hXL53621On/eziHfbzSzs6rnXa\n", "wepJ4lty/SNxFfp32t9YZzjQ7+zjHPs4x4F+Z6wzdNpfZaUpPmdGq7O+sbM3grl+1111RjBi7Vpo\n", "7yil7ABVVS3DyZpwNtmn3eutHnO2x5ztXm812adboexPeG1zzpb6rLpcduvmfEazLSI276tYMtkt\n", "/uSXmw1nW+CF+BaqmSZv9JqVyrXOs9JypflKPqI9emjzWscOaYqhXe1cj7mvGZRdedS9fu8HqKsk\n", "tgLlQU70oHqk4IT2SiJrjfNC1AVMWsMaN2WVFe7TXi3kH3FQQtkTk+IfsVFNT1mzAvyJ6gdK61dC\n", "bJmFt7F2Muo3qqr6UJdrvRh/qEPZj5pjt8YP8bfN7yn+EfFsUkoZj4+obwyd3R3TKls/0lv1t6c1\n", "lrvLG6yoK4WdVFXV5d2d1+U9huAB7LyTVxvts8pGRvNXVpniC+Y2UyPGO8egLuv93OtvLXGncf7d\n", "kPYT63Xd7TRL66fXx1ZV1V6Qp5TSX/206TN0GOZkMMdFWOc2dRm+jUvVk2ZPx17NvgfVvWkXPdcq\n", "lkU8VUopr1R/eeg1xqEOd7KhTfXV9V3kX01zv9EOafeUXVsPZYQLq6p6XXPNU/ALdIwwxn6Os5t9\n", "URfluMvV7XL4fQ2wwlIv887NDn1smejPrvJ9o+yNynQTsU65/K6fUGve2+Fe6343WGimU/1fO3Yz\n", "tPoCXzLLQw72Skd4/Sbb8WcX+ItL4caqqras8dGtzDGLbjVzyj5YvzpRPR9zUzU+dm6OeY0mnP19\n", "KeXMqqoea4p3/ACFT9v6UAZ/ow50V6mrUr/QxkPiTPV3PHB2QlnE9quU8ip1da5OGORwO3m1vkaA\n", "FWaa62KL3GS2X5nrEmOdYYijDfdXHnMW9dzXy5u1Dl+D3ZvLP4LfNmsZ/jV27rT/JkMZFL2N9lnL\n", "PWSJO011hv38vL2/r10tcWerPH9bZZWVzZy4Pka1gtmwdY6pqmWllOX1jpONbndqVea4UC+DrbFU\n", "ZeVJ6qIhK214831+8zkfKqU8JyuXRWxrVVVdUko5GedPdkvnZLfYxXjjHdlep2yJee53Q3vI4BS3\n", "tsJYy2LN1Itm5NAM9Rz5U2ea3K+7NclaWkU1Zpq8xcGsdb0BBjnOO1zjhx50UzuQDTDY8x3jYK/Q\n", "W1/3uc41fugmF+lnh01e+wVe7xLf8BeXoHKoV28wxHKVFW5xcSuUrbblxZdiIxLMYmM+pj188Sc2\n", "Hcpa+jTH7o4VpbnGh/EG7TllGxtZs0g9TJG6wMegbo45H7uqa4EcpR558CrrLjD9O3Uom0hdzeys\n", "LWh4RPSAJpRdiF47erldvXeDcvUw3MmWmuQx3zHff5voI8b5qsFe2Apm+5ZS/k3drb7+2OgFpZQf\n", "4NUw0ts2GcrabdPbSG8zySctM8kyD+u/Xh2h2S6wyI0GOthSk81xodVNCf8u7zHMhja6ku1Ip9nZ\n", "m8xxkZl+boXH+tDLKO+wk+PBQjea5XzLTd0TV5dSjks4i3jymnB2qPq7y9unub+zu3lb0KF3M2Cw\n", "Pb3iIvWXnAdKKe9Rz5c9aCNvtUo9zeJf1RXPLl7VzEm73/Ve4PVaxUM2ZqXl7m++N+3jaL311ZrX\n", "dpCT7ONogw1fp4riPo4y2a2mut3yZuH72R7qtsdsdxO81N+4xo/8xaXu8Qf7OLpdfXGWKe7zR8vr\n", "keSr8c6qqq7Y4EKxVTKUMTbQlL+fi4H1/LGtnT/+ds082sXYSV3C+qV1MY/3rndspV4T9cvN4eq3\n", "9TH1/W39qWpnWnepnj3V1Rep55Q91NpxK15VVdX0rWx8RDwNmuGLt6BzpLfZzYc2WIR1ffWcia+b\n", "4Sc6DDDa50zyCZq1g6gXiO50AFjiDkvc0T6/t2EOdPEWBbP6/Va53ausMtfOTrWHj2PtUMbu9LaT\n", "ukHtapIL1UMtb2g+d291Wehx9VDGelh2XWhkjfHONsjhYLXFJvqIxW7R31gT/ExpvmTVwy0/Z279\n", "pPohdXnpDGuM2EZKKYPVX2iOpfmHzXx1L/ZxNN363Kdeq+u+UspoXKIuNa2/QcZ5gYHN6YvNNdGN\n", "ljWLR+Ne9RpAP8HRgwyzyBwHOdELvWGT7bvBL93ucr308U7fBOf5pCXmebMvGryRUUULzfKfPqPo\n", "UFljlHFea+NLPz7ibjf6tVlrv1+t70Z1RdyEsm0gPWbRnQO0qy++6wmc/m5NMBuIQ3F0HbDe0s2x\n", "X8D/aX5/gTqo3dRsKzbsYfs7TTBbjfk8NMyGN4sZ6jQ5f/0dEbHd+Ag6hzp+i0IZFMVuPmS5aeb7\n", "b9PXPjTq3elAe/i4HZr5Gy2Pu9dk/9syk/S35xaHsvr9eutvtMXmWm4a6gWnW6FslHfr0Nd051pj\n", "qd18yEhvs9rj5rrYHBd53D2DcXEp5aCqqh5R99yN6zDIGovMsc66qx5ztvG+qyh6GWicr7rbaZaZ\n", "ZIFr7dhM1K+HW37OEne3es5eI2WnI7aZqqoWqgt4fKuUMhwfVQ+bHr7eocPUhX7+S11aepcdjXKo\n", "VxvjEL3WG3H0Qn9lklvc6nfmm76vugLrGTh6jUrR4TaXq9Ql8dfvOVtpuZv91u3NnP4Dm5707iw2\n", "1xR/AaMd3A6I1MMcV1hquommutMe9u/2GrubYHcT3OFK1zuf+kHYb9Vfvs6rqurGjTYgtlp6zGID\n", "pZTjaS2q8RhbsKbHuqaxdsLsGnTUww1/gjd3OW5Rc9xidfHH1uTSC/BX6uGMj9pwWON49Rz+lsHq\n", "ivoDmu0zWzuuV6+hMWcrP0BEPIWaQhyPonOC8w3Yiipk1OHobqdqTWbvZ4wJfqxjI2vwLPBHE33I\n", "QIfaxzlb9V73eY/FbjHYMfb2NVP9i1l+bgf7eb4fgmnO9Ziz7ORk/e1uuh9Z0wwTqu99q+Ff1Osl\n", "fQdH7eLdpvkuehnpbYY42gP+XmW5A12qT5fvfjP8xCP+zWAvsrd/X6d9M/zUI75KPZfu5K36cBGx\n", "WaWUvdST58fCMLsb2dThmeFBczzSOnQl+uxibyf5wAYLQ69vhaUu8y3T6u8z96EfRg+zu7keU1mj\n", "rwHGe1G7+uJMk93v+vbaZf0N9FZntMPfpb5pqjsc6Y366O9aP1U1RYWKDi92mhWW+pNf2sMBRhjj\n", "JhfqrZ/jvdsezWiD9U11hyud06rQ+Nmqqr74RP6WsXnpMYunWrMkw2p1j9n5NAsa1rlpMQ5nnYo/\n", "pzTbblIPTzyhy75l6gqQ1OtGf6U5tzUhdYX6ofFH8fCLcFEp5WVbWXY6Ip5ab0fnIIdvdSiDAcYa\n", "6DCL3QzG+Hw7lNW9VZea40LL1evd92mmeS3zkMqqrRrKuKxZm6efXSxxt9l+Azq7ebq81APmugja\n", "PXePu7e1+2M0YyHRaT+05rK9dZPtGOZkj/qWha63yiK9uzysGry2SMBe3Z4cEU9Y01N2OcYOt4ej\n", "vdkIY9s9/JXKTJP80X+abWqfDr281N+0Q1mlag8B3Nme64wM6GuAk3zAr51hvun7qIuGfHiOR4Z2\n", "GqpDL4vMdqerum1bH/2c7KPr9Mg93zGmusOtLrXC4yprjHYI6kIl1/qpvk3Rj+d7iT3sb6FZ7ne9\n", "S33TKONM8FLD7QFmm+pu17SrPaoLuf2/bfG3je4lmEV35q799QFb32PWtTfru9gb5+Cn+BX+07o9\n", "Z1vjXPUIxeepe/93X29/X5yqLg5ylCacnS5FQCK2J8fCTnU9jidkmFdb7GYdOnWaABa41mSftXrt\n", "/A2wyrzmf+eY7/eGbmLoT1fz/b49V2ygF5joQ6pmcv0cF7UD33T/AZY3IW6sMw31cjDXZSY3azH2\n", "bmp+rDLPgz6llyFWW+COpmR+ZbmBDtF7vXohvQ3R10jLPWKVuesEs4h4Sn1UE8pe4x/1Xa9XvihG\n", "2str/KPf+lezTfX/2bvvOLuqsu3j3zUlvfcQICSEDqGJogISQKQJCoIiiPKACgrKIwpYsIBKEVTk\n", "eQEVFAQFEZXeJEgT6UUhoYSQBBJSSO+Zst4/1t5nzsycKUkoAfbPz3zmnL3XLueY2axr3fd93RPd\n", "7wMOFkXj/dbkbAFptB3t6YutxNn29vPP1Ev+YHwYNy81fzTUqFWjq0YN6qwsRb96G2QfJ+jfYn62\n", "gW0Mt2nJNXIj29vbceBOl5jiSSstMdymNrC1oMpHHKWPwZ52p5kmlYuwlnwfP45Fqt2bStFguqAS\n", "/1Vy4rh0DQ7/bfa7l2Rz/xHJLTavMfvf7PcHszGPSemLOX/PtvXWZOxBqj/L9dV5WouyctaXDEXA\n", "8ZUaXhcUFLxt9EfJEn9NyI+tzsphF3rAJCdrsFhP2xjlx8a63Vi3G+XHumQTmFmuEnXskRHVm5Vq\n", "ZVXrY4rvlQReNxtrtMwMF5nhIo2W6W0njVboYfOSKIPuWSCrRn9bu9HWblCjv2h5ycExWilaqZuN\n", "jXZWp+rtchYpmTG+1OmDCgoKOiSE0FWqKfNhn2klysrpopsPZQvOz/uXBnXmmGqyx1WpVqXaZI9X\n", "NNAYbQfd0nNsO/TDljgC/6pXZ4UlVlkuajTIhvZwjMP8sJUogypV9nZ8m8Yf0MdgezteVSYBgio7\n", "2N8RzrGtj+XDVkr1+g3Z6y/GGM8sRNmbTyHMCloRY6zDZendnzWlDnaGOZT6/Ryjuc1+7sg4S+qZ\n", "eiOlh8DBkvnHTtlrUuZP+crwE3gWQ+mg2WHik9lYW5PF8jNCCDUhhLNCCNOzn7Myt7SCgoJ3GA2W\n", "ednpaDDUkTbzOwPso9YgtQYZYB9b+JOgq6WeMcWZ7Yqz5Hh4Rsnko8GiLFKWHhF1Fgpl9SPJ9OML\n", "nbjT5nOaEU4yxBGqsufcCi9b5KFWR9VbYJVZaHJ9zO9zjuvyt5d14gYKCgo6zz4YNND6hlRo49GS\n", "oUYbaH0rLPGKCZ2+SLXa8r5le8UYV8YY/xRj3AUjJBO162G4TY3x/laGIuV01cN+ThIEUzzpTpeU\n", "omVBsJ+TKvYw66KbAU3+APfEGIdJdW89Y4xrskpfsAYUwqygLbLQ1CqpIXRdJw6pkxZ5VmXvT2mx\n", "Pw+PR8kd9khN9WakKFkeKTsD32tx/CvZ7w/QoslhZbrQ9LDbsMXOMyV7x/Wyn9OybQUFBW8+80nN\n", "o9eU/NhGy81zeylS1pbDY43eNnUxgnlu8bxjzXdXM4HWqM48//C8Y81za7a1Vm8fyF6nsQ1eFy1X\n", "lU1uFntYT1uo0tMyz5nvrtI5l2eBrHrzPeMgzzhIvfm62chQn7GB/7Wt2wxzNBpNcWYrcTbXzaI6\n", "fXywlMaY2+WvNI3kjnbzGn+ZBQUFldgAhtq4066xuSnIEvMMNtJoO2rUoFGD0XY02MiKx5a5JQ4o\n", "3x5jnBFjfBI/honuM7c0F2qbPgbZxRElcZaLsl0coU8rU8kmnvNA/vKG7PoNMcaGNg8oeMMpIgQF\n", "bbFr08s7JSfmq2gzPD5HEmV5G4tNNTkzrpJs7n9fNn5nsiaFTKHZROQgnKp1D7POiMNOc1T6lUf3\n", "Dsu3ffuNvEhBQUFF7sEh89xikDUzEpzrFqRo1mx/BkN8ut0JVC9jDfNFM/3GUs+Y7DQ1BuiWPYtW\n", "mFLefywj6m9vq0y3MrmvPS01UOw30ummOdsiD3nZdwzwMa/7m8lO08Pmomi550HQtSwVciMbO79k\n", "QlKlmxG+Cmb6veku0idL426wxOzsOdXXhy03ySKPmOO6XJQtw2FFD7OCgnWLINjTF421N1qbf6wO\n", "McbHQwh/qrfqs7e50L5ONLBFw/uWDLGRrnpZYbFBNrS345vZ5bdknum5Q+QSWc+jgreeQpgVtMWm\n", "6dfmUv/DO6W6rcOkPmWbZMNelGrKrtUUKYMX8FnJd+M7Uv/B7lJftOPIivWbmCA1oL5Ueh7MlCJu\n", "eRH/ADK3Mx7OrtVR1GwVTfUX0zoYXFBQ8NZxJc5e7LGey7282s6M891dcmSEFVlUKm/M3B5DHGxm\n", "mWV+vXmWlImxKj30sbMaA8x3uwZLTHOmHsaShNm2UGuI/vbSxTCTnFSKclXprtGKcjdGQa2xbleX\n", "Rfna6qc23DHm+KtlJljqWd2MNMk3rDIDvOK8lodMlUTZIy13FBQUrDWvkCzxo9ihqIqiWdmzKBdA\n", "QTCktAjdNmXPoJYrQ+Ucg+HLLBx3g3NtYVdb+Ih+qWSjxAKzTHSvie5Xb5VhxtjfSe2mP6601Pgm\n", "T4ErYoyL2xxc8KZS9DEraEYIoUryp78AmyVHxh5Wo678X9KDpcUy+BDcKqVKTyCrl0g1YFtqio49\n", "hv10XNf2Z1mUq4Mxn4FnMLa8aDWEcJasU3UZZ8cYi4hZQcFbQAjhEny5nz2NdnanV5KXet5zjpL1\n", "BmvGJi4qt4+vyEozPOPAZtv6+6iBDtDFMN3KrLAbLPea35rV1MharaHqzFJriG3cIghWmWW2a73u\n", "+pKhR9BNF0OsNM1QR1rfSZ36fK/6pVmu0st2Vpmdi7L5UpFtnobwklRTdnMRKSsoeHPIzD9exaCD\n", "nFJKU2yLmV5yo3N109sRzmpXCJXToM4fnWZF8lz7UIzx3+3cUzdpBbvUY2OYMXpn6YmLvd7KVbGf\n", "4fbyRQOMqHjOeaYb71Lz07NmAnaJMc7v1M0XvOEUNWYFJUII20p/lLdjs7T1NU2irB8VGyaW/hmd\n", "HGPcJcZ4ID6tpK66SxG1B6VI29bYM/vZWgrO/R8WSv3Lbiu7zjjJ6GPbFtf8Jk1NHSvwqmQeAi6u\n", "4CR0Os6WOmjPyF6f3s4JCwoK3lh+jqULjDfdBaKOFwmjaLJT0KCfcca601h36mccmO5XHZ5jZiay\n", "gq5gqKOMdpa+Pqx7i1qSat2t72uG+lxp24ZOVa2vOrNLUbsuhlrfidbLDI562Mr27tHdmNL7zpKP\n", "XShLragAACAASURBVOKpXJQ9ix1jjHvFGLfMfj4eY7y+EGUFBW8eMcaVMlOdf7nGKm23Q11lhQdd\n", "AzbzoU6LMpjsiVyUPUUF95/m97QixnikNFm6DMtnmuRFD3nRQ7koW57t2x8TF3jNdc5wk/O86CGz\n", "vWy2l73oITc5z3XOKBdl+xSi7O2liJi9xwkh9JWavR4kqaDqJIr2kmzte+EuKc1wmmTM8VtKfXam\n", "k9zIFmO9GOOSsnNfgi9zaHaO/G99CLbIXk+kZADQX4qq7YwTJbF2HC7O9j+BC3GFZCCygWSJ/0nN\n", "G0z/XRJlr5DU4J5Fg+mCgnWPEMK+Uo5ydT97Ws+XdW/D/Wy5yaa7xMKs2epYd6rN0oXqzPWfzOF1\n", "Ow9Z7lmLPao+i17V6Ku3nfSwjaftrtEyJKv9sW4vNaduiwbL/de+GiwxxsWm+pE6M9UaYpQz9LIj\n", "mOBwK0wyyo8NsI+XnGKBu41ylgE+2qnvZJ5/eDmVus7Cl3BLUXxfUPD2kDWYfljWy+xDPmNoiwbT\n", "s0z2YGowrUq1w/yoXbv6clZa5gbnWGAmfCnG+NuOjmlxf/2xi6ZJ2Vw8kIurbP+ZUu+iXm2cZok0\n", "sTq9EGVvP4Uwe48SQtgU35CsEXtWHtUz2/0NydTws5Lo2UxaWHlEimbNgvNijKUQVQihjxSJ6plE\n", "0yrJTfGbkgbMV5PqJBfY86VnX1fJF6APtsruYUb2PudWHKgplWmoJvfFRzSlSXoCh8YYJ3fmOyko\n", "KHjrycTZX2TPoV52NND+pT5lq8z2upss9WSz49oSZtX6abCg4rXyhs5Uo8EQh9vAyZ26z1ecZ7Zr\n", "1Bio3lypRDsFrGqze81ryLbyV92MLB2zJqmMuCDG2LmDCgoK3jRCCBtLhfajYaD1S2mNs7xkblP2\n", "Th1qh9vEx3xVl4oZRk2stMydLsoNN56TIuPL3qTP0Fua0B1EyZbxdcl98aqipmzdoRBm70FCCPtJ\n", "uYWZIBsnGRLmDZtfxR/wz+x9T2neNE4SZdMk0fRsfsp/4IAYY8n9I4SwD25rmrwcJUXW2/KbqZOM\n", "Qf4gRc6mYG9JrN2uqd9Zzt3Z/k4tJN8hhd1uKVJ/CgrWPbKFov+VovdtLBQ1p59xNszKRKc524LS\n", "8yo1cx7gY7oYBlaZaZ47Sq6IKf26sRTZ6gzz3O7lrIVHjYE28xvz3G6Ov2VCrYlcmC31rOd8XrW+\n", "xrqlw8hcoxX+Yz8NFsFOMcbHOnVzBQUFbypZ5OybkgFHS7/5OdIE51rcguH9DLO9/Yy2Q6u0xgZ1\n", "JnvCk27NI2WvSbVlU97kj1HwDqAQZu8xMlF2I6r5FH6ktUNizgT8ANel4W7Ck/huPmC5pJxuk/XR\n", "iTEuza5zhJLd6gfwgI5NQOskl/6HpZTFf+Ga7DRHSAKv3DTkOFn69/NKNXE5/aXI/jRlbpHP4uMx\n", "xpc7uJGCgoK3gSzS/jnsLjVW3U5WcNrdpnoZq94C892NxlbHd7GeEb6inz1UtXBtbbTKfOPNdJkV\n", "poD1nWyowzt1b+XCbH0nGepIq8w033j1FurjA6Y5xwqTmwm+iY6yzATDHF2yxG+L6f6fmamtyKMx\n", "xvZdTAoKCt5yMkOQj2nqjToNd2T1aEIIG0lzos2hm17GeH/JpXGJeSZ5JK8pI9Vz7FeIsoKcQpi9\n", "h8hWpZ9AT06W6rM6ckKLUr3W+ekwl0s1Y2KFg5dJbkFnSc4emTD7iyQCO8NfJLfFMdhRclb8lRTF\n", "u4zSyvRAqbfaFdn7Khydvf69NGn7r2Ridrkk9KaQfPg/VIizgoJ1l/K6jh62sIFv6WmbUl3HUs97\n", "1c8s8VTpmG42sbnfqm6zjCLRYIlJvmGJJ1TrY6xbO4xk0ZTKCFu73iKPmuZsTVH7av191Hy362V7\n", "m0mlIos85EVfQ6NhjjbcMa2u12iF11yWi7IG7Btj/IeCgoK3ncwJcTeynOVUGH9fW7XrIYQe0mry\n", "V7V2Lst5Chfhj29W+mLBO5NCmL2HaG7G8Wcdi7KcKIml63Aw/pZt3xkfzF7/W5mZ0GzpgfPDFNl6\n", "hU47FNVJKZWzsY0krnpRWl3ql/1uWUNyDKUeHMfgd1IftHOybQul1Op7SZGzbYuC+oKCdZMQwtk4\n", "tYctbOoS1W1kN9Zb7AXHW+65Ur1YFC0zAfSwZUUb/gZLPOcLVphiA98yxKfbvZ9y8w/Y1G+94Di5\n", "OySyVMoqVbpotMIYF+jrw2Cum01xJhpU62OQA0vui8s863U35umLDTgmxnhFy3soKCh4awkhjMTx\n", "Kqcvvi5NOi6JMU5t4/ggTZT2otTZeZ7khvZQBbfogoJCmL1XyNwXp6NnSlHcooMjWjJBqivLjTw+\n", "KtXClvOE5Kb4IEk59eMjkpnH6rC7TECVsbEUNVuZve8qCbjcyr8jYUYSZ9vJImcHxRhvXM0bKygo\n", "eJMp7x20md/pZWy745d42vOOUaOfrd1iqh+Y7y7Q315GOauiOJvrNlOcrkZ/Y93Zbh+1V11glisF\n", "XUSr9LO7Be7Rzzgb+xl4ybcs8E9dbWSlKap0z2z4d0GKnE13UUk0VuBRfLeIlBUUvP2EEA6Rsn66\n", "wQDr6284mG+GeabnQ1fgyBjjX9+O+yx499FR0U/Bu4esqH6c1RdlpDq03TWJrG9WGLODtBC0Fx7s\n", "V2HAGrKx1g2uV2bbNpAicr+n1Afp8uz351oc0xcnyO79K1KtXUFBwbrFPhjU3aZ62qbDwT2N1d2m\n", "lnvBHNea7y4h+0/bfHcZ6nN6Vugj1t+eXnW+evO97HQjfVd1Cxe11GD6N2a5EgzzBa/5jUUeafN+\n", "VmV1sI2Wm+QkvWxnsE/pYXOjnGG+u8xxnTqv54dMwBdijI92+GELCgredDJR9heEjWxvWx81pIVF\n", "/myTPe1OUzzVDX8JIVyMP+HBIhJWsDYUEbP3CCGE63BIEjBfWMOz/B7/I6UWLtR2f/InyPr6rF0q\n", "Y05XTZGyvDfInAr7yvkOflJh+zwMlxmC9I8xVvbVLigoeFsIIZyACwf7lA2dptFKSzypzjxQa4Be\n", "tleVNYgmuTLOcZ0hjjTbVSVhFtXb3BUVhRnN68aq9TLQAXraGiz1jLluLqUvrudEwxzpBcdb4onS\n", "OZqnMiZ62l4f7zfLVRotbe/jvojNiolcQcG6QZa++By67eAAOzqgzWh6FD3uJk+4pXzzRJyLK4q/\n", "64I1oYiYvXfon36t3/6odsmP3VKTKFsiLRL9Dnm7sNHYSEoZnCW1yeis+cf1mouyfprqyQbjZSky\n", "NloSZyvLxnxFEo2fI5tctWaAFGV7iVTIWwizgoJ1kAZLvepCc92gvsWfaY1+BvmEQQ7RNUsvgi6G\n", "6W+vZqmMPdp0nVWy00/XW1ISaeUEXWzo2wb5ONjY+V5yckmclQsy6GUHGztfjd6G+qx5bjfPHeqy\n", "xaRag9WZY6VX4BfF5K2g4O0nhDBUSif6KrptZPt2RRkEwY4+bp7ppnhKja7qrdxCWsXeOoTwreLv\n", "u2B1KYRZwRqQu57dKhkPtdQ2c1q8P0/zptJtUSe5P5KMSSo9z9p7xk3F1ejdwXUKCgrWYV4h2dPn\n", "f+/dbaJb6u1qhZcsN8lMl5vlahs5wxL/AV0NN8SnDc3SmNsy/6jADMnCtUStwQY71FBHNrPer9Hb\n", "pi620INm+6OlJmiUTNXWd7IhDhNUg2o9DXaIwQ4pHb/cJBN8hrSqddVqfjcFBQWrSQihSqqx2CPb\n", "dDfuijE2hhA+IBWj76bMEW2lpeaYYohR7Z9bMNbemTCrtbNDPOjPGjWcjGc01VYUFHSKtnLRCt59\n", "ZJ1VX21/VLvkxw6QRNmBkijbGX+UeiS+lr3euey4h6Xm0XXtnLtOMu14OHt/VPZ7AaWUpTlSpCyP\n", "lsn25cLwFil69nmVehwl5srmfTQPzRUUFKwbZF7yUT/jbOZ3tvAno/3EaD+xhatt5nf6GSda6WWn\n", "We4FNfrr44OCoKet9LRVh6JsVWruCpdIfdNuIzWoHuMCw/1Pq35oEFTrZ1fr+4ZqPUA/exnq8JIo\n", "q0S9RSb7Tv72ihjj4s5/LQUFBatLCGE9PII7cGr2cwceCSGcKllKfySoCkOMMsQoQZXXvOAG55rU\n", "Tj1pzlCjDTDCCkv0MdguPpvvOiVzZiwo6DSFMHvvcE/69Ye1OEV+7AelSFmD1A/tQXwWw7Kfz2bb\n", "Tm5x7K5SPW25QFuFa7N9V2pasCrvrVqefjlH84hcvm8nSTA2Ztf6iMri7PLsmu4o6ssKCt58QghV\n", "IYS9QwhnZz97ZyvYlcaOlK0wD3SAIQ7X1YhmAisIehlrtHMN90V5VK2b0ea51RJPie1G1hONVmVR\n", "OaTV8xlSP5B/1pvvecd4xc+t0NoJe4WpXvFzzzumZOKxPIvktcVykzzvWCtSyvcEnN7hTRYUFKwx\n", "2XPmRuzYQ1/b2cd29tFDX1Ih/NkIWxnnCGf7hNN8wmmOcLatjBM1+qffm639tqdB0D8LuC+3yKY+\n", "qLs+pNTID72JH7HgXUhh/vEeYc3s8lfgPimwNB2nSYvZZ+MkfEBabGprQShKz6SHWmwfUnb9iZoC\n", "V0GTDf850sJWzhgp0lXJLn8AnpaaTv8YP83GfF7zLILCLr+g4K0kW62+UZMbUM7jODATQ+XjL8fn\n", "m6cyV+tnN8N8vmTMkRNFk53Sqs6rm1GGOsrAdmpEcrt8qdHrDnktSNZM9lJp9Qn0sr0uWS3bKq9Z\n", "4snyU/1deqBtnsbuYJBP6GZDsMI0r7u+3DBkAvaJMb6ioKDgTSOEsDfu6KGvT/m+blkZxnKLXZk5\n", "S29lnA+n1OJW/MvVnnWPUXbwUV9u91rjXeoljxrnaJvY2T0u94J/w7ExxsvewI9V8C6nqDF7jxBj\n", "XBhCuApf5vtSlKotQTUVF+MymiydM1ZoEkyPSbVjZ2AZxpM5pyWxtCc+obkwq5KE2OwW2xqlidjd\n", "bdxTvhJd3mA6F2W3aoqc/SQ7z1lSBO7/NLlIHiQTZc/S3EapoKDgjaV8tbrWIAMz84y5blLn9R1x\n", "Ywjh/THGxmz856XVFFTpmZl2LDXBAv+0wH1G+ZEB9mm6hmCoIy3wT0EX/e1psUet8LKpfmSFl4zw\n", "9VbirN5iM5XmSheVF+jHGFfgyBDCL6Tmsp9d4snumoux5ZLr0cUxxsdDCP1xJj6/xBO9yl0by1iC\n", "K3B6jHH+an6dBQUFq88esKkPlkRZ1Og/WQ/WoMr29m3z4O3sa4L7TPGUZRbpkaJgrYii+dIaU/c2\n", "xhQUdJZCmK1jZPnIo6TwD6ko6uW1cfYpK3wNqOO6Wr6Fn2ktzv6KIyUBRloIzmviX5KETR61asBN\n", "ksaplDb4fc3/iZ2SbZtC1usn2emPlOY056I+295Va4KmerKBUt3aCVo7TZ4ulYzMz8a8LC2KryJN\n", "qL4TY2yocIGCgoI3jr1komxL16jJFlWGOsIEn8nF2Z74R1aAfxkM9mnDHa3WIFDnda/5vTn+7GU/\n", "0NX6zSJnqY/ZGMtNMtD+NvIDc91smnPMcpVuNi45KpJE2UtOtiIt0jwnFcW2Isb4OI4NIXwLu2j+\n", "TH6gXFxlr08IIXxbeoAeRPYB0urWDbiqqCkrKHj7iBqNd6nJHgeDjczTGivSUz+DjTTbyxaa1aYw\n", "m2WyeabrprfhNtGowSuezXc/9wZ/jIJ3OYUwW0cIIfSTGowdj01b7H4+a154xerWRbWdSnS+FBn7\n", "ESU76b/iUCnitHu27X4p3bCcg6WImux2/4YuOI4sfYdpkkNiXg82IBvbE1tlP+Wck133Z9n7PKDV\n", "i6yPUEqfzOvWhmr7n293yTzkAvy50s4bQghX4+gYY6UmaAUFBWvPHjDQx0uijGR1P9ABZqY04z3x\n", "D2k1pXqwT9vQt5qdpNagbFs0x7Vm+oONnVvaHwTdbGy5SerME9QY5BNgqh+b5Q8GOkBUZ77xZros\n", "F2WvYd8Y47L2PkQmum7qzAfOhNfFmh6QBQUFbx9349QX/NtYH/WaF0z2uGpdNKSF2rUmiqUI3OY+\n", "rFqt5zxguUWkydODb8iFCt4zFOYf6wAhhK9Jds2/wKZJOwzIfrrDZvglZoQQTlyN85ZSiVJT5W9n\n", "P1lLM9dJAmmcJIg+K4mjg/GA5BcSJIfFD5Sd+WKpTmwILsq2NeIQKdWwHw6TxNlVUunFPKnebEo7\n", "d/wDSqtX47Pf5c1Zd5aM00boeE3hsex3T0nMPZD9nJxtc7jUa6SgoOAtJGosN9TYP4RwNPan2nBH\n", "t3ncMEej2gL3qjO3w+sMdIAaA63wsslO81/7meL0XJRNxIdijFPW8uMUFBSsu9yFx5dZ6DpneCxb\n", "X9nWXoIqc0y1zMI2D15qgTmmCqr0NbTV/rzB9BRPqVZrc7t4zgMe8Kd8yLlFH7OC1aWImK0FIYRS\n", "wTeeizG2DC115hznSDl+mholL89+yumHBd3xqxDC+jHGU3XMXkqi7D+aMmu+IUXJ5sAK7ulWMm20\n", "u6Tl6nGiJOSGS8Krq6ZUw5z8mVMvOSGWs0X20f4tZfbch32luv8eFW63p1Ri8itNqZFR2z3N2uJR\n", "/Cs73/3Yvmzfh6Wa/l2x9PAQws9jjI+1PkdBQcFacjdOnesmQx2hRj9Ro5d8y0L35mO2lrrT62nL\n", "UvpiJboYrKctLfVfK0xTm2UWRtGK1DBerQGl8UGNvj5orpstKC30eEpaTfpjR5Gyt5oQQjX2kyKN\n", "+QeZJ32Ptxbp1wUFq0fWp+xA3LjMwh1zEVarm5G2NcWTnnRbm+YfT7lN1Gi4TXUv648aRbNM9h93\n", "muIpMMQoN/pZudA7T6opLShYLQphtgaEEPaXLAp3abH9AZwdY+yUsUQWKTtFqe/NAqk58lGa7OIf\n", "lkwsFmga13BKCOHVGOOFHVwia6b4BZpNeAZJPcPOJoW/pkoFXlnDnlyU/arsmCpJVN0kpSReJIml\n", "95WN6SZFyoLkrDgRR0s9Fm+QbPafkww6cj27eXaOvNatPDJHit49JAUUH8nO3xG/zn4fp7koy9ke\n", "X8bPZS8KYVZQ8MZzFx6v8/qOE3zGQAdYYaqF7lWlp+GOATP8RizVtK4+S/3HcpPU6K+XHdoadr30\n", "jHtoXVvBDiEMxJc0zwUv5yRMCyFcgt/EGDsOFxYUFIAY44wQwvultOnj8ckn3GpTOwuCZ/0T0fb2\n", "K9WbLbPQk271bLZg/ZoX/NWZJUv8+WaYZ3qz67zmhfzlBCkF6Yp17VlT8M6gsMtfTUIIJ0srIZKI\n", "2j3bcw9Kdd3fjDGe38F5+klqo3sSXA34umSC0bvF6MVSCcYFmsZahhHt1ZyFEM7GqSnq9dMWe0+T\n", "6ro8I9VafDRFuF6QRNI0MnvoJp6WIk5LW2yvzX7XSeJpp+z1FfiqZLrxeymSdZHWbJtu0+GS0dkR\n", "ZfsOxibZvQ6Qmlx3b+sjZ+wgOag9IAm9m6RF+Zey/RtLIvG78HiM8X0VTlJQULCWtFXjOsLXDMua\n", "yE93iZkuRbWxbmkzarbKHP91ABjrVrUGNrPLH+ZoI3y1ND6q9x/7q09pj7vEGP/1JnzEtSKEsK1U\n", "UDsCulrfAPvrkqVNrTLTXLdY1TQJnI79Yoz/eTvut6DgnUxW3nG1Ciu8QZXBRoI5pooaBVU2tLVZ\n", "JltRqnUvMUdqq/GYpvqQ5/BgIcgK1oYiYrYaZJGy85Jw+TG+RmbBmsTThfge4nkhhOc6iJx9Ht2b\n", "0he/LpWRVaJ32b4LZMf0kEJrv2rjILJUotTL6xuaomazs/MgpRJlFmfrSVGunbUWZSQB9S/JWfEm\n", "7acX1kqOiPBFfJM260KelurbJpAKZjOqJGOR3FFtnvS9/6Sd65J0pux8R9CqQexE3Jy/qZRTWVDw\n", "nueNcIhtsVq9J/aneTOy6tKfYIPX/L6V+UfOTL9Hg372KImy1/wms8rvarBDmo2f6+ZclK2TBfgh\n", "hLFSfnefnrY23Jf18QGhRen3cMda5GGv+bWlnhmB+0MIuxbirKBg9chSGw+XJh0/qVJjrI9aaKYp\n", "ni41kg6qjLKDbe1tiFEWm+s6Z6pLJSZnSqu+9xbmYQVvBkXEbDUIIdyPXZIw+E4bo34qi8TcH2Pc\n", "rY3zBGllJXNf7C0thLaMlLVksbSwWorMPY8t2pooZatDjyjVmWUtglwiicE+kpB8AtdI86bxkjD7\n", "dwf3srOUZjlEU0+yQyUXxHIL/joMplmBbY3mkcbyurXuUn1dtfT8+57WVvxH4Ddaa6rl2TFnZe9r\n", "s+tviq9kn0/2GS+SooPq8eEY4yPtfdqCgvcKHTnESunPq+0Qm537YPy1PJXxNZdptFTez3Cwwwz3\n", "Py3s8n9njmtRbTOXotEsV2WNpYNRfmqAjyJFynK7/KiO5L56+ere65tJlr74NEb0M84oP1ZVsUVI\n", "E4s9ZYrTrUoLT3XSw/aCoka2oGD1yOZg92GXgTawr6+BhVkbn76Glqzxl1noNhea6xVSutD5Ukrx\n", "9AqnLihYawph1kkyo48JSTzN0BQpa0kz8bRFjLFVD4sQwmi81CRCvio1Qu4MX5VERX6s0VJjsWOl\n", "XMBh2cCZUsj+RincvmPLM6WSi29J9WAf03EqY84MqfdYxBhprvYTqW5tsOZmn1FacM9b/uwizSfW\n", "KzvXYVIkriXtmX5USeLuc5JAe0RKV2zZt/UIKY2ytsX2Omnu+SdSSG1MjLGls0lBwXuKrO71bFm+\n", "cI1+umSPlFVmqi/1EbQcp3aizrXl+dtMJVrfyV71SylVu7pZg+m0Lehpa42WW15qOJ+oNUgfO4NF\n", "HlLn9XzXeThlXUstyvqd/bSnrW3q1+2KskarTPEj893R1pCi9UdBwWoSQhgiTTzGdNPbFnaxhd30\n", "ynx3lphnovtMdH+lNMYG/B3fiDG+8pbeeMG7nkKYdZIQwifxt5RWd2MHow+Utb05OMb49wrn2gmP\n", "pJqpeVIt1lGdvJMrJEGRH+s6fELbaan1UnjpZk22iTvgo03CbIUknpZJYucerc0/yjlREpIflCJr\n", "5QJqqKQRvyoJu0c1GZnUSnb562lOLvQq6aLhUp1ZblU7S0pvfK3C2Jy08p4W+5/RWpTl1EntAl6E\n", "T8YYr2/npAUF72rKHWJ7e7/BDtXPrkL2aInqLXC/Of5isVKA+dxOOsSWX6dKsmn9RLZpNHYZ5hj9\n", "7GqmP1jgXlktbUWqdNNoha5GW2lypSHrbAF+5r44GRuOcaG+Ptju+Mm+a747VOlusEP0y7INFrjH\n", "HH/VmBboro4xfvZNvvWCgncVmTj7q5KRW9A1y8RZaZl8XjPYSLv4rJWWec4DXvakmDJ5pmOfGOMz\n", "b/3dF7xbKWrM3vl8qoP9NVIe3yh8Isa4Kksn+miq18rJRVHMDrkwe/0dTZGz16RUzf+TUg0fKzsm\n", "T8OcJUXPfoPbJGGU8xGtRZls2+6SiVvObpIAPEhrYfULyeXxQikbgVR3d5Qk8q7Ltn2lwrHl1GZj\n", "/pcU7iuEWcF7ktwhNqixkR8aYJ/WY9Tob5z+xpnndlP8UFTfWYfYEjHGRmm1+e/ZtXfFfa/7myEO\n", "s7Fz1ZlrhWmgi+FWmqIuLUQJqk3zM6ywke+Y6U8Wupu0Ynajdb8Afz9s2NX6+rRyoW3OUs+WRNlm\n", "fqtHyc2WXrYzwD6e90WNlhetPwoKVpMY4+wQwm6Sq9k3iQetzMzNqlQbZQdb2d1QGwtZicb6trTU\n", "fONdaqZJI3BHCGHnInLWmqIFyJpRRMw6yTqcyljGjpKlPUkUPd7y4GskdTUmG1xJJeGTUsSvXhJp\n", "uWnhY9m26mz7SikqNYNSqL+XJORelNIa98wuS2qr9o82Pte2Uq81OEOqLQttjM2Jkrj8viajkAOl\n", "urfX8V8tfAYq8Ay2gYkxxi07GFxQ8K4jqyl7Dd162lZX66k1xED76m5Mm8fNc7uXfY9OOMR2cP0g\n", "PTB7drepTVxY6lHWkjqve9HXLPeCXrazqd9a7GEvOgGeiDFWSNletwgh/AInDfdl6/liu2OnONNc\n", "NxjqSOs7qeKYV/zCbH+ES2OM7Z+woKCgIiGEv+BTQ4yypy/pqa+qUoui1tSrc6tfmpnSqq+LMR76\n", "Vt3ruk4nWoCQ6mWKFiAVKITZavAGm39MxGZpyxqbf2QMwF+U2paVuFsy5JjXwXm9JimhfbIDpOhW\n", "kBo054sa1VJj5snS39QmsjRAzWvGlO0rT3NsK5XxOam+jSTKTu/ofltwBn4gfX+vSsYkExXCrKCg\n", "fbJo1eVSOmEretneer6id8V+gLzgK3la49djjO05xHZ0H69gfajR3yCfNNjBzerb5vib1/1dvfm6\n", "2sBmLlNrgJWme8ZBMC3GOHJN72EN7rk3xBhbPpA7Ou4KHDXS9w1yYLtjJ/qcZSbazKV62a7imCWe\n", "8nxywC1afxQUrAEhhBGYGlRVf9ZP9Sy537fPUvP9yXdEjQ3YMMY4o8OD3uW0bAHSx2Cb2Fmv7Dtd\n", "Yp4XPGRxUx1w0QKkBUUq4+pxNm5OGoaUapeLqXK7fGRNwioRY4whhIvxyya7/NO1bZefc3p2nfyY\n", "nEqiTLbtYnw6e99LSvf7aPb+H/gDlgyXwk4H4xBUcW82ZnPZ35f093NP2fnzOq9zJDt8Uq39qWX7\n", "omTT/7pU03UYrtVcyO2fvd5N2fe3GpwupUHeLzXj3lgSZuN1LMxK6ZMvtTeqoGBdJYvm5zluz8UY\n", "J3byuMNwFWqr9DDQ/nraCimFbq5bLfGkFx1vlB/rb69W5xjsU7kw+0oI4cK1SB9shB62tMwEM/3O\n", "TL9XnTmjNVgkX+DpZTujnau2lBnTqc8apNB/6XvCY6t7v1l93LFS/vPm2bbnpPzqS7M0zTedmH0X\n", "ocOsgoKCdwdvRPuOdvgSqkfZvtOiDHrqbyPbedkT1dk5fvgG3Ms7lvIWIEOMsqOPW98WrVqA7GB/\n", "r5rocTeZ7eWiBUgLiojZatLJBtMnxxh/3sF51rbBdMb7JIONtthLEijvl/w/BrfYPwcHSK6GsuVB\n", "IwAAIABJREFU7pIUX1a31vJaNJmO9M7uaz28osmJsVFa+H6tbMz5OLnsHOV2+f8su8ZfdFwy1xZ/\n", "kUTfltJ3eIjC/KPg3UzWV/E0pcL1Eg/g7Pb6KGaRsvGoHeJw6zlOtZ7NxjRYaoZLzHa1oMYmLm4V\n", "OUtNnPfJ3RqnSK6wVZKj0OOSI2KHdU8hhCew/RgXqtbdbH+xwHgxq30NavWzhyEO1dO2zQTJIg+1\n", "m8qY9S06VcqXLudpnBNjvLqj+8vOk+dLH9TGkPFSHW8rC7cW51mjVMYRTjDbtWa6XH2WBVFjgG42\n", "ssQTFKmMBe9C3sz2HWXXeALb7+fr1rd6iTOvmuDW1Bf2HZFK/WZR3gJkI9vZw7Fq2qnxn22KCe4x\n", "xVNWpbKcZTgwxjj+rbnjdZdCmK0B2YToVCmvr5z7pf/Qt9dYuvw8X8MFSnnMDZKY+ZwmJ8NHZFEt\n", "zcflfE8SIpXI0/R6SemHLUVZzhwpk2kJScldpWS731dKaxwniZ4tpJTh1RFmY2hhb92a4ZJrfXtm\n", "He1Rl93XTCmF8+jsfJ2yy1+QHRSlpm6/izHOXMMbKSh40ylfIKrSQ++sG8Zij2u0LB/2zRjj+W0c\n", "fx92HeJwGzRbNGnNK84329V62cFmftNq/0RHWqZVKW05L0m9Ame183l+hO/3t5fRzkYSffVZw/ka\n", "fUrukC2Z5JTc/OM8ycK/FLUKIfxYllteo7/e2XN1sUfUN7XW+HGMscP86RDCaUpNEqubfectFrAW\n", "SA/ts2OMrexjQwgfx41drW8rfyutJteZW7L5rzVIrYGWmuA5Rwm6qta9vF1BJT4fY/xDR5+joOCd\n", "Qsv2Hd30amZnX2Zjv0btO8quMxUbHu4nemf9EzvLIq+7Jj1i3tJU6nWNvAXIEKMc4OQ2RVmDOve4\n", "wkttBxTe8+0/CmG2FrRIIZpYyeijE+coWVS3TlEsp6197Qmzb0gZNl/B/+vgTr4iLTz5hdQQ7B+a\n", "eqJJtWIDJO2S16z1ksRceSrjz6RF/HxfZ1kdA5S2OEH6nOdJmnmctAizifT58lSsuyQDlRcrnANp\n", "lvUjacJW/IEUrFNkC0M3E6zneEN8RnVm8dxgqdn+bIaLZal/B7RcKAohbIP/VOlhrNtaRcpa0mCp\n", "/9hPo6W2dE0rQ5BOCDPSH+KVmnKYJ0kLIM9k9zQCU6mu3sZNuhhS4T6WmOVqC90PettRvSXmataR\n", "ZJbUt/H/SWH5P1FtAycb5BOqdEHqDfa6673ifJmo+mxHkbMQwkL06WU7o5ylS7bQtcock51mqacr\n", "HTYPP5fSBD6Zff5aadWquqftNVpmlZkaLGx2YK3BenufFaZaZgLoakODHaqPncAij5rjL1YmB8tl\n", "GBdjfERBwTuc8rnRCFvY0keMNLZkyNGowVT/McG9pitlb692+47sWoUwWwvKW4Ds62s2yFLiKzHe\n", "pV7yqBpdbWk3G2W1s1M8ZYJ71VvFe7z9RyHM1gFargqlX9lLy7V2X6yVIj6kVMZzpYXcfHF2uGRO\n", "8nPJXfHvmloGtcX10rzBTTHGA0MIG2Qn+CRtWRN1xvxDg+RfP1ipEG60VE82Gi9LEa01Mf1oSW4C\n", "8l3JrfERKcurrr2D2uP7Mca2VG9BwdtCbkK0nq8Y7n8qjnnN78xwERVMiEIIZ+PUwQ61oc7NYaY5\n", "xxx/MdTnre/E0vbyVMZuNi712FrkQct0qtRtPI6KMc7IXdF62d4m/q9Z0+UGSzznf6yo3LNMVSZM\n", "y6KF86Rnz+ANnGJI637WYLZrveJceAo7tLUQE0LYDM8FNbZ2U0mU5awyx38dgAYjnW6hB7JebKtT\n", "chbUGqRab6vM0pjZducMsK+N/KBV5DCqN8UPzXM7KU1gTIyxUlPIgoJ3BHk2UZVqu/uCMaUMospM\n", "8oh7XK4xLbJ8bQ0a3xepjGtBngXQx2CfdkarmrKc2aa43llqdHWgbxrUwrDxddPc6Ge5ONvpvdr+\n", "o/K3V/CWkrmZrYeT8EISYvOyn+WUFFeQokrfLTv6MUnv/ENKXXwmez0Od6zNPb2S2b+OlKJHT0iW\n", "h69KvvbLkvDaRIqOzdDURqBcsAmS22OZO8lkyQju+2t1jx3zfk0BTfdJjiATpS8omzFVSYJwSvZz\n", "urI/i++HEMqihgUFby9ZlH6XKj0M8Zk2xw3x6Vys7BpC2LzF7hEoGX10hnxsndnNti9wn3oL1Bpq\n", "S9cY4XgjHG8LVxrlLHnLiyo9DHaojZ1nY+cZ7ND8/vbEgyGE9aQQ/4xkOHKCVWXXmuVqK0zW1Uhj\n", "XGCMC3Q1Mjt3d42WabRMjYH59gEYXK2vQe0sSg3yCTX6wXaa+oJUYjvoZYdWogy6GFxKbazS3cZ+\n", "ZnO/V1MyEmiqias1yGCHWs9x1nOcwQ5VaxCiOnOsMtNGfmhLf9Eve2x2tWFFUZbOnHrPdU2TnJFS\n", "0XBBwTuSrKbsbHRKlMEY77e7L+Rvz87OsTrcBM95YDUPY2IWwc/P8R5lD9jEzm2KMpiY9Z3d0m6t\n", "RBkMsqEtlNYRv/yG3+U7hEKYrSPEGBfEGC+QlMRoSVW8n/K8oQullL8vat3j6yNSCuFp2WukVQdt\n", "9w4r5878RbNisBjj9BjjD2OMO8YYN8h+tiX/63lRSlnsnf0sybaV0gGq0DelYn5eykw4JXud+5+Q\n", "MpDWlnwil0+GGiWxBQ6LMW6ZWeLfo/Rv/7tSpG1k9nOGslYINbQRkigoeIvJ0kW+SErjy9MXK1Gt\n", "Z0koaOpF8YYzJ2vmPsznWjkEvu7viHrYytZusKFT9bO7fna3oVNt7QY9kuAbKRXvv4KPycTZf33c\n", "S061yEMWSPXgG/iGvj6srw/rl5X4Nlqu1mC1Bqs310pTS6Kt1sBS+mIlqnTRu6nJc0sBW07LtIV2\n", "zpkifT1tVSYKo152MNrZtnGzDZ1quGMNd6wNnWobNxvtbL3soNEyk51qqafFLNo/2KFt1tiRxNng\n", "JuOkYzp7rwUF6yCfR/cRtuiUKMsZ4/1GpD/hHvhHCOEHIYTOphb+Bg0ve9LSptrTDllqvimeIkXn\n", "WxfgruOEEHrnbT/WkgEoWeK3xVypB/dGLVp/xOx/MKrJYKpyj5b3AIUwW8eIiZdjjI/GGB+VJgvD\n", "k0vs8dmoezT1BhuHZ7NtZ2U/90iRs52yMX+QDD7aYo5U/gEu6+R9Po6H0rvc5GOxVJb2PaneixRB\n", "+51ktX+5VI92TvZ6ulJ5nb9Zi5TD7Ni/Zq/zz/18dk+mtzAe2KHpZaU5zLHlb3aoMKCg4C0lE2V/\n", "k2za15bpJEv8zpKPrS2r/Zrndos9oko3A0otLxLLTcr29TDGL9VW+A92rf7G+GUeOdsrhLBVVnO2\n", "M66joWGB8V50guUtzIOiBnPdCkY40TZusY1bjMjSLBuy+taVXhVXK52wTR5HXOIJqyo8S1eZk5mA\n", "BD0yHbzAPWa6HKznOJv6tf72ajPq1d9eNvVr6zkOjab6qWWeh1JNWXv0aZrEbrz6H6+g4O0ns8T/\n", "CmxZWmDuPGXHvE+yrp8SQpgcQqjUT6icGXg6ajTepeo7MRepV2e8S/Pny9/fKT3MQghVIYQvhRAm\n", "YhEWhRAmZtveUk0wz3R3uMhlTnCZE9zhIovanau+NyiE2brPUenXcZr+7zop+z0Ot1ExJ3orySSy\n", "vxTFOkBlcZbb5S+Bu2KMnZ+tldoGrJCyHV/EBGnx5KfZkN9JDomVVvd7SBkLW0jZmjesxqVbcr3k\n", "yLilJrPMktj851qcuKBgXeDTOLAqM+pY7AkNTfVUrWiwNBMK0KrY648w1y0aWtQxtXWuXAQNtC+S\n", "KJuStewZ4QQ1LVp8vO7GbPz+FUVZTq3+Btovf3sMbaZRL4RX/NxC//K669Wbp9ZgQ31OUCWoMtTn\n", "1Bqk3lxVeohWNUuJbEmjVRZ7OH/bpoNJjHE6ro/qTXZaM3GWm3/QoJ/ddTFEgyVe9gNE6znOcMd2\n", "qudYELJI2pfRqK6YpBS8iwkhbBNCODuEcGUI4UrJlWvTbnoZaexqn2+kbXXTq+XmURgfQng+hHBz\n", "COHGEMLPQwjlTU6/LFuEnWmSW/2y3cjZUvPd6pdmpgWj6d6YBbM3nbKWH7/WPENg82zbDWsozubB\n", "kg6ijQNtgGT0Mc90NzjXVE9rVK9Rvamedl/TvO3JNbiPdwVFg+l1nywUn5c//FOTwPo/ygrkW9NV\n", "iiLtIRlhjJas+PfO9t8piZclpKLxz6/mvf0Nv6Lua8l04wctdn9dx33J8gWyE6VUzUO0TtPsiJgd\n", "KztXkHpPljILLm5xwBPZhaQA4Rktdl/acmxBwdvNQTDC8ea7yxJPme2aNs0/ZvtzboRxf0u32Bjj\n", "f0MI9zdatusMl3Rolz/DJRot1cv2VpjmFT/Pm0rraZuKtW4rs5SVPk1pgm3Sx855SmQzu8dMDP0Q\n", "Pwwh9MUDK03depKvd3jOcua5zXBHV9yXBN4CkvlHR4XmJ+ETSz0d/uuAVnb5tQaXvsu5bsm+sx0M\n", "W4PMwuGOtdgjlmRzk0UebeWG2ZJFSmaML632BQsK3gA62+w+66P4U617MCJFo2aZbLhNVuv6Var1\n", "MsAKS2xmF+vb3EP+ZmnSDZtq3gftf0MI46XF72NhK3t4wYNmmuSPvq2fYaIG1WqtZ3PDbWKSR0zx\n", "VB4pm459YoyvtvOdvE+aCA2VCuxvtwbN7d8gTpH9tySosp7NwAzP55/nAKzMXCr/gN9WavlRgbtx\n", "0osesoP92qwz29Junvcvz/in5z2ozgq1uhpitI3tZIqnTFPqMX3J2nzQdzKFMHvHkbXR8RGVI2Ut\n", "GSdlBj0kCbCLtdYp7pJ64KxWKD7GGEMIJ0nGGidKD9nqpvTFT+mcyPqcVNd1n+SmuLrujGdK0cG8\n", "B1zMbmcu3It/tzjgd5Iaq+Yn2fg8ffFSTdE+9dnYgoJ1hmG+YJKTMkv8ZPSRW943t8tHyhuuxHcx\n", "frara9Fhg2mC5V40uZR6nIitGtC/OcQYF4YQdpHE0fdQU6W7OnPMcqWhPgdm+YM6r6sxUH36+zfD\n", "xar1bMcuH8lmu92JUoxxWghhEfoSS+KUav2Ms4GTdTFMFEu1d0Mc1qlIWUuCYIhPl4TZbNca0k6d\n", "WVRfuqZOpqMXFLxRtNXsPoTQqtl9COEwqVdqba1uNrGzITYCs73sRQ+rs8ItfmEPxxhtzYwOn/eA\n", "5/0LUa2uNrFzyXHxVRO86CF1Vu6JB2UR+R762MJu/uNORAs0aZJ5pntGqfdxg2R3/b+YEULIc7xf\n", "z/sohhB2xLXSing5Z+CFEMIPO9vc/g3k2zDMGHv6op7J+MhSC9zlN2alNZ0aKR36R5IB2mU4IcbY\n", "LL8zhDBYynL4jGRe17jInKp7XekDDtY9y6JYZpFlWSuQ5Zao0UW9VVZKxrF1Vppuoukm6tmUXdHo\n", "PbwoXtjlr+OEEP6Mw9L86luSodpr0jPwrPYOLePbMpOjF3GzppXpSbhsNdMX27vXR7BTU/ri6nCD\n", "5MwfpefB6ToWdVESZT+Q0jz/jo9Li+xnkPr6jI0xtlpBDiGcrnWorCWFXX7BOkEI4bP4Y7U+1vMl\n", "izxqoXvRboPpk2OMP2/nnKUJUpUeBtq/5L641LNZ1KdVumSjLKc6qBHV28TFrWqgXvFzs/1JZyz5\n", "pzk7FxW/iDF+oxPfxXU4pKuRVpqK1PMLpdS/sn2TZROj5g2mHy5v1typBtPZtSdgi1F+rCpradLD\n", "Fs36ri32uBd8Wa1BtnFzu6Yd7ZFaEexfEpirYZf/YSn7Ia+PfULqGTdzjW6koKAdypvd1+pmeBaU\n", "es0L6qzIh30zxnh+Fikbj9qt7eF9DtJFt2bnW2WFx9zgGXerUm1//9vpyFmjBlc5xYoyATDYRvZx\n", "Qkko5Cy32O3+z5xkEPacCuY/fQ31wazVxr9da2EyKbsHR0rPwq9Kq7pDs0PyPor3Sy6NtdBN79yY\n", "xHQTyxtjd/rZs7bkLT+qVDvcT0uiLGepBf7k26JGu/mcaZ4x1dN5JO1B7B5jrAsh1Eg9mr5KZWel\n", "IOiql0YNVlVIue9rqC19pOw7ec4E9+bfL8k0oOt7tY9sIczWcZqayW4o2dDnKzZrJMyeiTFu84bf\n", "pNLq0GOppu1VlWvKOuK3ZIXvqU7sRKn/WssO8nVSTdmFlKxqD5AMRU6UGsdrxKdjjNepQFZk/D1J\n", "1bXs01YvibaiwXTBOkGZ+ceBLXbNxcAW2+7HOS0bS7dx3l2lsPGubQyZLvUgbNPaMOiip63VGKCL\n", "wQbYV1BrosNV6WFrN7RZZ1ZnvmcclAvArTuzSBRC+LeUBqCrkRosKYmXGgNV65WLsqXS3/H2UorB\n", "8Banelr6njq9ah1C+D5+1M84G/tZxTEzXWm6CzolSjsi7x+Xi+DUYPpTJaOPRR4xx3XlDaavlFax\n", "W6rB4plW8IZT3ux+Jwfa2h5qM6G1ygrPutujbpQ3u8ep2HVre/iQT7d77gf92TPuNtwmPu6bnbqf\n", "lz3hH36tl4GWmKtWV5/xk1aiLGe5xa7xXXVWkv4+chejQRi5jxNtKJWiTfOM21PJxGPSROU26dlY\n", "+sxlQjQiBFU+5DCb20V1No9pUOc5D3jQtbno6bC5/RtBCOHTuGaELexf8ilozi1+abqJ9nCsMXYy\n", "2xS3uzAXkoslV7le2IZgQ9vYwq5WWmKiB8wxJe8l14xuellpmaix1NqgqsW0q1GDe1xuUspEWIa+\n", "79V+jEUq47rP7VjEtD5M09RcumV2XnuUxk5/g++tnGzJ/EBti7LbNbWm+LXU3qycL2IIDpXmlvdL\n", "c6mDs+0kS/y/SkYf0E0yH5mGzWTpi8uk1MyKooyUhokzQwi/lSzxi9XlgnWWGGNDCOFgHKapW/z1\n", "UqrMpppWeye2rCnr4Lz3Y7cQwjY4QtbjDH3xobL3bZ/DKkvKsk5mu1pVNlFptMwkJ1V0Zqwz3yQn\n", "5aKsU8ZD2YLK+6BGv1LELG8wXW9uSaShp8qpnC9JkcJzYoytbPBDCBtLE6+PaOq9MV9Ki/4rfrDA\n", "vVVLPVuxF1xDcoJV20ovrz41yYXaAPta7DErTfOqikHQqcoesKktwZ5ggfEWuKdGU4ZAkQVQ8EZx\n", "GuzkQNs3mfiALrqVtj2ajL1+hB1rdfO+VObULu9zkOc96DUvmme6AR0/ikzIsgh6Z8JsEzu3Kcqg\n", "u942sXN+XO8Y4/sghPCoUn1/K2ploqyvYVZZZrlF2fn66KKHhWaG9Bk+bivjmh1crba07V+ugVNC\n", "CNe8BQsmnW75UZOtww2xkX2c6AbniBp744PQVU97ONZCs/zbtW06KVar0aC+FCHsZWBFUUaqD9zd\n", "F8wxxUKze0hC/vrV/IzvCgphtu5TSh1KNWVnSLVb90oOiB3VmT2bjUVZ8dSbQDaBGdrOkC9LAip/\n", "PbXCmIMkA48Lsvev4f+1cb5fSumOX6epYPQeHFspfbESmQB7M7+XgoI3hBhjgxQObrm6mjdOX5tz\n", "/1c2yQohfEeKoulihMEO1iN7ziwzwUxXasjSAINuethMF0NU64sq892uIZuopGOe9YyDDLSfPinQ\n", "ZZGHzHVrLsrWxHjIZi4z162ZgUceMRugPhX6C3oYYI+SuKk3zwL3arB4YylS/pUQwuExxvHZ5x4n\n", "reh/rI1L7oRvYjaNQ3LBuTqNuteUWoNt7e8WesDrbrDIw2LqU3kffoFHZQ/UKj0s9qQoGuIzNnae\n", "+e7O6wNPDyH8tlh4Klhb8mb3tbrZWttu9FvZw1PuUGfFjqQmxC3TFyvRRTeb+IAJ7vWih33Awe2O\n", "n+QR0z2nRpdSdGr9TtThr2/LXJiVu+vchPf927WlDWWvF2LbvoZZmC0Q98jSApdZYLlF8n1ZJK4i\n", "m9vF4262wpK8uf2jHd7s2vEEKcV0qQUVUxlneB7B4LLmz0NsZKSxWb+2VF4y1t7u8utShLCHvjay\n", "/f9n777jpKrOP45/nmV36R2kS1FERaWIaDSCJRSNNXY0RWNsiSbGRFM0mmhsyS+JvcSYmIg1KjYU\n", "MFIULIiACoIgfemdBbaf3x/nzN3Z3dnd2cYs7Pf9es3LnTt37r2LMs73nnOeh2a0Avy6smXMjtaW\n", "GYbDkU8ueexOVDkT8OHsUIbzAS+CH/lXMJN66QqghR9Zn4RfY9kRX5nxJ/gbN+VVZsyF0NcnOARC\n", "6/V6Lfb7HIC/uT0IX1nS4atSzgZG4APZj2Jv+hx/l/sDTdURqR4zuxj4I6TRg1/QkXNLVdgqikKX\n", "n16Xw07mRkX302hKO0ZhZLDB/88VYEMRuzpu4L/xBSpiqlR4KBQcmgEM28Z0unE1XbkyWi+2ifFk\n", "8bcoyKSV+gJYRA6bmcAGXmQXCzoCb5vZJfgh+fsAMzJpxyjacSqZYe1aHhvYzHg2MwFH3n4ABWxh\n", "AZfRhmF05ByahUHLWDDMLx65q7bYsdJphZFOG06gNcOYw4mxYHa+c26dmU0kTMmOrQvcxlS2MZWu\n", "XE0XfkhrhrONqRn4GQK6GSU1dTBAFw6KpvIlkhnWncWq7cUKfSRjP3ozn6nsLF4PmtBiPmZK6Bk4\n", "lLNZVbP7VOA/C87bxrrD3o4qPgN+Kt/BQLR2aijfYQAjAJjLJD7m5ei1hczgKM5MWKWwERl04xC+\n", "9nnsYOo+mBWC/wR/h8f5FleUKf7hKKIXA+OLcAC+P5wPZo52dGMm4wBHF/rSnxPpxcAyo2DHcj7L\n", "mMM8JrOGRQDkks1nTGIoZ5d7kd1CH0gacD9GBbN6zMwygN/5Zw/iQxn4kaKL8SHlFPxaq9J3befh\n", "Q1mJFl63mNk/6mjebmhgsa6CXR6j5FTG8sRu5p6L/3ycja9mDT6cNcHf0N9KaMkEcJ5zbmEVr1lE\n", "grCO7Q6AHvyC/cKi93i+iqFv2OwooAWDaRH6DWXzGdl8ykbGkU572nMmm/wUpqX48rA/pHYKD90P\n", "DMviAcDRgTNJI5ONvMrqMLreg1+UCWUAaTShA2fSntPJ4n7W8XQ68AxhVkJnLqUTl5BO6xLva0Iv\n", "WnEU3fkZ6/hP1DgaCtnKZLYmaJW4lcn04IYaFf/YwrsA0YglQA7LKfJROCuEspOAEZBGFy6jfZgm\n", "tolXWcOTrOYRmnMEbTk5VjBmcOlzidRnWXzJUj6lJwOiAFBEIcuZy3ymkhVaEA5gJIdxEjvYCPjq\n", "i70YWOGxVzE/9mPUxT6uCuxP8RXFwI+ijQUWZ9CE3WynGW0YwIgoeA1gBF/wP3axjdg+OWTTNIwk\n", "1Rfr+Jpn+HWZcvnNaJ1w7V+HuBG0zWFFzJAwfbW8qrNpNKIPR9KbwcxmPJ+E3pbzmMKRnBaNakpZ\n", "Cmb12+lAV38zJf5L0hj8SNLv8MHrMPxyiG+E1z8gbvoifmr3M8DCbvhFYC/XwbWGuz2v4Zd4JVpn\n", "NprE0xfj7QrHAL/W7Bx8jY5JYdtI/HfHIcDVhGnT7yiUidTYaKCXn75Ytv/gVqaRwxIAWjKEHtxI\n", "01KVoHfzNSv5Ezv4hG28TxotKCJ7KNA0mYqLSXoZuN+Rf90q/soq/lrixf24iDYVTK0C38OnOz/D\n", "4VjP2DSAHtzEfpxX4fvSaU03fkJjurPcZ9gSR/X8gH0+G9nKFNryraR/sXhbmUIBm2hCH1owKNq+\n", "OTT7pviu23UAXbiMrlwV7deVq3A41vIP1vMcbcOaM5FasgCKqy+WN2qWRw5r+Cp6vp5lHBR9V6nY\n", "epYCsJvtTOIxmtCCFmFqcjabo7VL6WQylLOjKZX9OI7P+R+L+JAjOb3C4h+L+DD2tESbCefcNvza\n", "kT9AtL61ojvKVVJIPlnFI3tJrwuugbX4m2S9/VMXnd9IoxeDOJbzoz/figzhDAZHdVIqZhiD+TYO\n", "xyxeJ58cljKHA0tV8o2J+zNpsP0Yq9PhW/ac0An6+5QtHX8L/uZNx/B8Kr7y4t0Uh7L9wj6/I24J\n", "x4i6uFDn3Cxgph84e74GR3oOomkLf8dXopyAL/CRE37uiw9lj4Gfr3lzDU4oIt7FAB35TsKpN6t5\n", "GPCh7EDuLxPKAJpyAAdyPy0ZQgGbaFxcCPHi2rrIMFX5Z/gh9egLTQsG04d76M7Pk+4d1p2f0jTc\n", "NW4Uyt8nowNn0ZkfAJBBZw7lRY5kJkcyk0N5MQpS63kBR9VnVvvA6D9H/XRS//sUsJUNxffVYs3q\n", "jgeikbLS1wmQzRy2FPdgarD9gaT2hObR7+eTwxdhZDeRebwbW4s0C2ARH5JXXL2wXHnksIiPYk/v\n", "Bb7KIZuNrGAjK8ghO/p7cRI/LLHOrR3d6MbB5JPL2zzI7lCQJ16sXH5YB5ZM8aHvENZO5JNDU1qx\n", "i63MZRKOIhxFzGUiu9hGU1pFYbW89VQLeD8WLJNpbl9j4XPzwdjzE7mMkVzDSK5hDHcykqvKDWUb\n", "o9oA0IW+ZQq9JGMw36ZzmDCxLPRnLK2IwqiACw24H6OCWf0WOiuWd3dpDH70/XygF34J2WH4PDcZ\n", "P61wDKWOUb1ujckJVToeJDbdqWqKiPvcKPTBqyv+s/Cp8PhR2BaFsguccx+VOZSIVFVXKDltLqaQ\n", "bHaHu9c9uDFq1JxIGpn04JeAn3YXVF5SrQqc9xK+hDP7cwv9eJy2nFylhs5GWjRlc33xmrikdOIS\n", "jEzyWUsea1jB3czjApbwKxqzP0Ym2XzK2mp8v1jDE2QzmzSa0z58CXI4VvAnCv2C+qlUoTSvIz82\n", "jTEf32hSJClm1sjMxpjZ8+ExJkx7htCHZyavMZvxJQJXHjnMZnwolw/4gjvv5Yc+ZZX5hFfjy8+P\n", "wX9RD9U0jJFczUBOAWAq/yaLBSVuggznBzSlFRtYxnP8lvd5hmXMYRlzeJ9neI7fxnqYJVt86Doo\n", "XgOVGWYFfczLjOXXjOXXfMwrJV7LJ4f5TKWQ4t7MheQzj8nMKC4mUmlz+1r0ALAQYAmf0osB9GJA\n", "mTVlpc1jSvRzf06s0mdsjGFReF7DojI3rGLl8rexHvy/kzeqfJJ9hPqY1WNmlgV09ZWgRofIAAAg\n", "AElEQVQMe5Sz1y/xI0vgQ0vi3jqwEt8LjSznXPfavM4YM2uK7x1kEPWcrIIbwJeCzgZOxQ/1lTcP\n", "6B3gZoUykdphZlOA4aUbRjtcaGD8Ji0YTD8eT+p4C7kivoz+i865sovWana9RwKfNKIVRzA+4Zqy\n", "ZBSRw2ecQiE7OISnoyIeyVjGbWwq9/tDGrEbVF24ki5cXukXGodjDU+whseANA7gT7RheNj+OGv8\n", "Z/0u4IhY5VkzGwec2YXLS0xlBMjikdLB8HfOOZXLl6RU0D/xNeA7oY1HMg2mb3DO/aWqDaYNoxlt\n", "2Blbwh4nk6Z051DWsjiq/teaTvQJ955X8kWJkZ5yJFV8KExjzAPSz+f3vMafyWEHFZTLB987MB18\n", "H69YoEtVg+m436UHsMxISzuTmyotxrKeZYwLPXOb0Zox3JWw3H0yiihkLL9iN9vpzwkcwjDA/5n4\n", "BtPrY7uOds5NiLvmzjSgtkZaY7bPSH3Ads7tNrPbgd/B/+Gv6U9UPjBbhA+YfwFfOeis0F9pROhW\n", "H99fKQsYqzVlIrVuNfiS+LFgVsBWlvAbdvimn1Ghj2S04Ij4YFYXPRSPAmjDsGqHMvAFQVozjM28\n", "yU6+qFIwa8epUTBrz+l0CNXGNvIKm3g92m8Nj7GDj9mPC2jDCWUKgjgK2MoU1vM82cwGjJ78hjYM\n", "p4CtrOBPbGEC+A/L75dqB3I/cOYansThoumLGxnHWv4Z2ydqMJ38n4wIFwBnNKY5R3IaALN4nVx2\n", "nYGfqvOsc+7/zGwBcFM+OcevKG5dA6Wa3Tvn3gtVUJ/+gnczFjKDvhzNfmHZ03qWsogPySeXNBpx\n", "Ej+kN4P4mHHMZULcYY08drPEz46MbGMds4vXYMYsDr/HJdRC8aFmtOYUruUtHojK5cfW1+1mexTS\n", "KP5+vSuH7GZflyy6WOXm9rXFObfSzB5xFP34bR5gNNeWG858g+loFhO9GFTtUAa+IEhvBjOfKcwL\n", "j9KvhwbV6yAKxDfjb9LHf2ieA/zezP6AD7ep/wJcixTM6rfVQFdYQvkjZreU83Np0f/HkypLXV3O\n", "uVvNbD7wNPwl3U+p/AlwIWULguzCt2R6CF95kULg4lhfoXC8hUSVKUWkDo0FLtrAy3TiuxSynYVc\n", "QQ5LSKMJRUmsC6nA07V0jfHaQnET5pqINYMuiFuLso0ZrAhV5ffnN7Tm2DLvywyN79NoTi9ujba3\n", "4AgK2cFWpmBkYGSQzWyymU0GHWjDiSX6q23h3fjG2DSmJ80ZQBYPsYGXY9MXd+FDWYmeA865d83s\n", "Zii6Yy3/SDR1chLwvX317rLUqTMBjuS0Emu4Zvj1j2cReiqG4PVm6G1WYbN759wLZrYG+GM+OcfP\n", "Z2r8uiLAj4a1pANLmU06mQzhDJYxO4yoGOBoTDMO4tgoVKxnGV8xg9xQqh5/Z/hx4FrnXD41WFsZ\n", "36ZjIdM5nG9xLrcwjyks4P34MAYY3TmUZrRiGXPJY1fsi8924GH8COQnKQ4T1wNn55Dd9VXuoSdH\n", "cCjDo+qLG1nBfKaynLklphw2q4XqkrFCLK3oSFqIIK3owMF8k5m8xpaS9/BuJhRf6cVAeocBs6V8\n", "yjLmpMdeA/apWQAKZvXbLGCIX0owvJxdWlH+9MV40XKEWRXtVRucc8+b2UbgWZjd0VfJvgE/G6Jz\n", "2GstfjZE1J9kA3BRfCgTkT3qbWBZHlm91vMi25hKDktoQh86cBar+AvZJe+GVyhu3yWhONBeZQV3\n", "khfuiK/gTg6vYMlDI5on2Oa/gLTn23TnZ2xiPBv4Lzksie/xFmlCH9pzGlncTy7LmF+yQuQU4PJS\n", "I2UR59wfzewD/DqY48Pm94D7nHNla/mL1IFQEKTSJmJhRswwMzscPyNmDHF3n/PYzSZWsomVfM1M\n", "WtI+ruS8YyCjGcy3SY9b63oAR3EUZ/IpbzKHt8EnuP+GUFYb7geGfcTLOOBgjmMAI8mkGR/zCo5C\n", "DuUEBjIqKqJRQB6Lmcl8prCRFa3wDernOOdqrWeZmR2A7+E6HKLFYlvw61AfTfSZ4ZzLN7OXgGv9\n", "VPU5oU9ZqWOTRhppsVGsWnUAQzgqjO4DOIqYXDzCvyZMX/wdGCO4IgplAH05mqV8yiRfa+AWM/v7\n", "vnTjScGsfpsIXOmLXtxE2cqMyXL4YwDFdefrlHPuf2bWEz/d4RrYOhT+nWjXj/B3kV50zu3eE9cm\n", "ImWF9SI3A0+v4s+AI5029OUhGtGU1TxCNp+ymyUJKzLG283X8dMY366jS94CxU2YayLWDDq9nLLa\n", "5ckLayISBbOCsC6mOYfRiBbsx/l05LwwcvY5q0Pj2i5cRUsG04JBFLKDWH82/PTPyfjqix9Udofd\n", "OfcuVFAeT6TqXgXOnxU3LTfu53E1Pbhz7nMz204IZS3pwCEMoyM9AdjAcr5kGjvYyI7wd3QgoxnI\n", "aJYwi+zwd6wFbenFQDJpGjUvDuHsj/h1ZLXhZeD+Igqv+5AX+bDUzZXDOIlvcH6JdaTpZHIwx9GP\n", "b/ARL/MZk9KBp81sY01vQpvZifgvhqPK2eUo4BdmNgG42zk3JcHvc21TWnAow/maWexgA4UUAEZf\n", "juYIRvASt5NGOkUUsKvEyGD1xCpkNi71mbmVdbE1ibH+jL8B0nsxoEQoi+nNYHoygOXMzcCvP7uz\n", "xhdXTyiY1W+vA6thQVd4ARI0/kvOC4RCPFkUNwmrcyFoPQU8ZWaDgaGUvKPzsXNOpZtF6gnn3Fgz\n", "6w2+QEQPbiQztORox6ls5CVWci8Hcn+5lRmLyGNlyVH8M83sp3XQ2H4m+P5qReTUqPjHNqYBPkTF\n", "7M9vSkxlTKS4p1jZdbQ5CXo2GkZLBtOSwezgY3bwEbksYz/Op5Dt4c/NAaypqyJNIlXwPHBBLrvO\n", "mFGyDc5rUFxWsLrM7GLgj4ZxLBdwKMNLtOroxsEMYEQs1JBJE3LI5mluoiBWoDFIpzF9OZpBnMJg\n", "vs2XTCOXXUPNbIhzrsbl6MN0xl8BPwBa+b/NRmcOpD8n0ptB5Rb3MdI4hnNxOD7nnXTgWTPrWd2b\n", "0WZ2LXAfYI3I4ACG0JdjaE4bAHaylUV8yNd8QiH5o4CR4TP4gbjDTAW+3M2OQ1rTifO5LRq1WszH\n", "LOJDFod2BUX4j+5lzOZYzq9R8Y+l4YZdLHzHxPWTm2xmJwE/BljFl0zgYQ7jJLqVWv/bh8EsZy6Q\n", "ILntxRTM6rEw3PwH4FG/Tut4QkXrKliNfy8At9fBl6OkhACmECZS/80HaEIv2sa1PezCpWxlCjv4\n", "hMVcRw9+SVMOKPHG+AbTjWhFI1qSR1adNLZ3zs0ys5mFbD9qMxPpUKZwXHI2M4FCdtCM/iUKf7Tm\n", "2AqnLxawlc1MBCCHr1nG70sU/8hlJQA7+SIqyBGvG9ewkDls5m02R4UNokGxMhUMRPa0MIr+HfzM\n", "l9h/xOOAF5xzNZrfFio+3gFwLBfQnxMT7xc3la6IIhbwPgBdOIhOYeR+HUtYw1d8yTSWMYdTuY6D\n", "OJbP/WDZxdRen7DzgVYd2J+z+BVGWpVKxx/DOaxmIZtY2RE4j3KmEVUkhLL7wY8eHsFImpQafWpD\n", "Z7pxMMdwHp8xkTm8bcD9Zuaccw9CFDQfAB5+n2doRzfa0pWWYb0t+CqxTWmJw5FDNrvYxjLmRJUv\n", "q2oZc9jNdtrShc70jbbnkM2XvBd7uguKmy4WkMty5rKcuQzhTAZXo4fa3kbBrP57HDgPNp7se0NP\n", "Ivlwthr/no3g/0NPrs61iDRkIwHac1qJLx2ZdKYvD7CIa9nBJ8znAlowOKrUmM1n0fTFdNrTlwfY\n", "xnRW+/aGI6jlYBY8BPxrAy+E661aa05HEevDjf/9Sq7pqtQ6nsaRR2yK+SZeL1GJMWYzb9ONn5aZ\n", "Jtmc/vTjcVbzCNujRrq+sAHJLRwWqXMhgD0bHrVpNNCrJR04tNw19N52NgB+zVZX+nEcF9K21Peg\n", "zaxmBs+xmoWM5/74Jsi12UPxxwD9OaFao0ZGGv05kWk+j/2YKgazMH3xPoBhfJeD+WaF+zehOUM5\n", "m1Z0ZBr/AR/Ovoib1vg4MDKP3We9xp/oSj+WMQcjjUMYRn9OoC1dAJjJOGbzFvOYTG8GV7mXmcNF\n", "jcj9yKhF26fzHLnsBF+t8grDGMSp9OM4ABYyndmM5xNepRN9opGzJcX3+vepm/5qMF3PhXUFFwLz\n", "/I3sAfjZBRUtN3BhnwGEm9/zgAv3tZKiIlInjgRozuFlXmjGQRzCU3TkXIz00ED5X6zlX2TzKWk0\n", "oyPncghP0YyDaFF8jLpqbP8CsGEXC8jyN5GrZBX3sdtP865S1Ulfiv5f4ZkDHEZjKPtlbWkROWTx\n", "QJmGquDDWV8eZCDTac+Z4Vi8o3Yg0gBcDHAIwyq9obKFNQB0pR+ncG2ZUAbQjq6cwrV0pR+72R6b\n", "4lZrQt/EoxrTjAPi+jxW1YEcRSZNAYaGJR5VcRNgAxldaSiLdzDfZCCjwd/5uSm2PYTuMcC4PHZH\n", "oWwEV/JNLopCGcAARpFBE9awKFFLgkp9ypusZTEZNKEvx/jz45jF64RWArvAL9odxKkM4Qxa0p6W\n", "tGcIZ0TNxGPhbimfxv4d5wNPVvmC6jEFs72Ac24jcALwPz/6dSFwCHA3vljXyvCYAtwVXruQuJGy\n", "E8IxREQq0xWgcTk3mjPpzP78ig6cg9EYI4PmDKQXt3EE49mfX5EZqq82pnuJY9a2sEbjIqBgHU+z\n", "kr/iQlPnCt9HESv5K+sZC75NByu4mywepKC4UmwZBWwliwdZXtwO7C7gUWCnIzd2qJ1h24Bwbbkb\n", "eZkV3FWiHH/xMXewij+zyddSyMWXiBbZ13WFsmuNSstjd9Rg+jgupBEZ5e7biAyO5ULAN7gOaquH\n", "4lEAPRlQohpkVaWTSU8GxJ4OTfZ9ZnYgMKoRGRzhJzVUyRGMoJGfJDc6VHIEos/Qc/FVXDmEYfRi\n", "IABbWM37PMOL/J5XuZfOYer6J7zGLN5IeLOpNB++3ghFY4wTuYxMmpJDNu/yDz7lTQj9GQk38GIj\n", "ZfFiQTSLBUzg4VhFRvBLdPaZioygqYx7DefcRjMbAVwB3AILu8GvK3pLFr63w+MaKROR2taNq6MC\n", "IF34IY1okZLrCBVgLwGeXs/Y9B18wn6cTztGlSkIUkQOm3mb9bwYGykrwDee7Qjcv5Z/2TqeoR0j\n", "acepUZ+yPNazmfFsZmKYvogDrout1zCz64AO4TQb40t0m9kFwPMbebnxJt6kPafQjP4A7GIem3gL\n", "H+rIBS5wzsXmNYo0WAXks4RP+JhxFFFIFw5KOFJWWju60oWD4oNZbfVQbAvFfbhqIq4fWNuK9ivl\n", "SvBl5kuvKUtGE1pwAEfxlW+ddCVwY1jndzA+CwwGP00TfDGOKTxV4kbXlrg2uLN4nSy+5DBOohcD\n", "y0ztLKKQZczhC95lLYsBP5WzkHw+5hW+5L3Y9MWoP6OZPUYlYmvO8CNlt0PxXbJ9hYLZXiQErMfM\n", "7EngdPy6jSMpvhu9Gt+nbBLwWqoKfYjIXm010DWXrGjkK5FGtKA7P63wQLmsij9mnYnvnbibhR2X\n", "czur+ButGRY1j85nE9uYRmHxqFWJ3olm9gVwkyNv9CbeYFPiwh8OmADcE19+OgSxNeVc26tmNhy4\n", "w5H7rY2MI0Gl8XeAmxXKpAFZDb4kfny1PYdjHpOZxRuxL+4AUaGPZHSiTyyYrdobeyiWYzgQTQOM\n", "t5IveM+P/nM8F9MjrrpsvL4cHQtmw83se/hgs3/s9Qya0JYubGF1FMoO4lgOCaNVk3iMXWyjO4ey\n", "jiWsZTFrWUwzWtOLQVFo3c0OlvJp1Hg7g8Z0YH/WsIj/8ff4S5pCyf6M7wFnLmQ6Q0oVc4oVfcH/\n", "d/MQ8OS+NlIWo2C2FwpfAl6mbhbTi0jDNgsYspPPaVnDpWHZfB5/zDpVundiITuGbvbTZEpL2Dsx\n", "BK0pYZrPlfgvQu3Cy5vx5aUfK6/JcyXX9hEwwsz64dfWxOaJZgFjtaZMGqCxwEVfMo0BjMBIw+H4\n", "gBf5orgoH+lkUuBHqaujNvu2boHiPlw1EdcPbEsV3tYWiErix3uPsWSHfo7vMZYx3JXwAM2LB+h6\n", "EprbNgvH28VW8snhKz5gPUujUHYC3wdgK2vZxTbSyeRkfoRhLOJD5jOVLaxhPlPKnK81nTiME+nL\n", "MTiKeIobCOton8GHq9L9Ge8HzpzNeBwumr64gPeZw1uxfS5xzk1O5g9sb6VgJiIi8SYCV27iDTrx\n", "/SpX34pxuPhRpz3V2L7GvRND8Lqxjq5vIfC7uji2yF7mbWDZDjb2ms9U+nMi85gcQpmvTtqWLhzM\n", "8XzAC6xjSdIHjtt3Si1e70yA5cylgLxqrzMrIC++MMnHtXRtVdUe4Gi+wxGhJcpnTOIjXuZjXoma\n", "Px8SV2BkcbjUAxlKY5oB0J8TOZQTWMsiNrCcXHZShGOub+7NmdxIkzDFPW700wGXOufKpG3n3Ltm\n", "drPD3TGb8YmKjNy8r4cyUDATEZGSXgdW57Cs6xYm0a4aC80BtjCJXN9keY82to9R70SR+iv0SLsZ\n", "eHoGz1NEIbOjURFHE1pwKj8jg8bM5FXW8BVbWF3pOrPNrI5fX1aVNVyVXe8sM5uZy66jvmZmwgIV\n", "yVjMTPLYDUncJCplC/jm0W1KTTE/notLTGUsz87iAbr05rThiDBSCb44yOe8yy62kk7jBO/1RZH2\n", "o3eJ7YbRhYPowkHRto0sJ4svmcHzHMeFOGAGzxFGyyYlCmUxzrk/mtkHwHX45r3gpzje1xBCGagq\n", "o4iIxAlTpf8AsJJ7yQs9hKoijw2s5N7Y05Q1theR+ss5Nxb4bWwKYw7ZWCgicRwX0pw2ZNKUvhwN\n", "wHSeo5D8co9XSH4IAJFfmlltDkA8BDCPKUlVfy3NUcQ8omzxUBXfPhV8UY7SenAYY7iLMdxV7voy\n", "/97iJawVVYSLrRX7snhdV5UcxVk0IoPFfMxT3MC/uSE24pZDElVnnXPvOufOcs61D4+zGkooAwUz\n", "EREp63HgfwVsZRE/rlI4y2MDi/hxrOy8GtuLSLmcc3fiK6PuBnAU0obO9GFItM8gTqEprVjNQt7i\n", "ATYnqCW0mdW8xQOsZiFNaUVLXyS1G5SqIlEzLwAbNrKCj6qxxP9DXmITK8EXHnqhim9/DOBrPiEn\n", "rihKsnLIjvULA1i9i618xiQcRTiK+IxJ7AqjYuv4GjC+YgZT+Bfr+DoKoutZWum59qMXp/OLsB7O\n", "hQcTgWHOuZkVvlkwVVIXEZHSzKwDfo1G/3Ta0IMbacuIctecORxbmMRK7o2Fsnmoh6KIJMHMZoNv\n", "oDWUs2MNkSObWMl47o8q/XXhoKhS4zqWRNMXm9KKU7mOFXzBTF/99FHn3NW1eJ0n49fHpR/OtziG\n", "cyptkO0o4kNe4nPeAV/m/ZRYNdgqnvttYNRARjOUs6v03o95hTl+7dfbwLMkKP4RvAqcWd5x0snk\n", "Yu6J1pmVJ5ddPM2NsRHOw51zX1TpghswBTMREUkohLPngJMBGtOTDpxOcw6LmkfnsopsPmcTb8TW\n", "lIEfKbtQoUxEkhEfzE7jBrrGrVmKyWYzs3iDRXxIkW/mHsmgMX05hoGMpgXtWM1C3uAvADOdc0k3\n", "ck7yWi/A90dLb08P+nMiB3JUmYIgBeSxmI+Zx5TYSFkBvqrg89U87wnAu4AN47tR1cLKLOB9pvEf\n", "8ENXJznnpiQol78CuMU5928zOwK4GvgeRAmsCD+q2fwQhvFNxlR4k+59nuFLpgG845wbUfXftuFS\n", "MBMRkXKZmRE1to/KvJdHje1FpMrM7E3gVIAx3EWLqFNFWXnsZhlzyA7FLFrQll4MJJOm0T7ZbOYZ\n", "fg2Q5ZzrXgfXezJ+5KkjQCbN6MkRUfPoXWxnOZ+Rx67YW0r0TazBea/Fl5VnIKM5ghFR5cPScsjm\n", "MybFRsoArnXOPRh3rFiDaYAFzrkSadfMMsDPCQU24ptQTwUaH8IwhnJ2mZGzXHaFBtLT/FMYrv6M\n", "VaNgJiIilQr/k1ZjexGpdWZ2MX4UqtJgloy6DmYAZtaU0DcR35ojkYR9E2t43p/gw5k1IoMDGEJf\n", "jo76lO1kC4v4iK+ZSSEF4EfKrosPZTU495nA80DjRmTQl6PpSC8ANrCMRXwUm76YC1zgnHu1puds\n", "aBTMRERERCRlzKwxkA2klzeVsSrqcipjItXtm1iD850A3ASlFuOV5IAJwD3OuSm1eO6jgTuAb5Wz\n", "yzv4nmMaKasG9TETERERkZRxzuWa2UfAcetZUuNgFtdkelZNry0Ze7pvYghaU8zsAOBKYDhEw4yb\n", "8VMOH3POfV0H5/4IGGFm/YCLKZ7ingWMdc4trO1zNiQaMRMRERGRlDKz7wAvtaEz53FbucUlKuNw\n", "vMCtbGMdwDnOuarXthdJEfUxExEREZFUex1YvZW1LOGTah9kCZ/EQlkW8FotXZvIHqFgJiIiIiIp\n", "5ZzLB/4AMJ3n2FncWytpO9nKdJ6LPb1dxYhkb6OpjCIiIiKScqE9xyTg5LZ04VR+RvPQBLkyO9nK\n", "eP7GFtaA76U4Qm07ZG+jYCYiIiIi9UJobD8F6N+EFhzHhfRhSIUNjZfwCdN5jhyyAeYBJ6jBveyN\n", "FMxEREREpN4I4ew54GSA1nSiH8eyH71p5Xs6s50NrGMJX/FBbE0Z+JGyCxXKZG+lYCYiIiIi9UqY\n", "1ngFcAvFJdnLkwXcDjyu6YuyN1MwExEREZF6ycwygNOBEcCRQNfw0mp8n7JJwGsq9CH7AgUzERER\n", "ERGRFFO5fBERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQUzERERERGRFFMwExER\n", "ERERSTEFMxERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQUzERERERGRFFMwExER\n", "ERERSTEFMxERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQUzERERERGRFFMwExER\n", "ERERSTEFMxERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQUzERERERGRFFMwExER\n", "ERERSTEFMxERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQUzERERERGRFFMwExER\n", "ERERSTEFMxERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQUzERERERGRFFMwExER\n", "ERERSTEFMxERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQUzERERERGRFFMwExER\n", "ERERSTEFMxERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQUzERERERGRFFMwExER\n", "ERERSTEFMxERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQUzERERERGRFFMwExER\n", "ERERSTEFMxERERERkRRTMBMREREREUkxBTMREREREZEUUzATERERERFJMQWzBs7MlpnZSXV07DFm\n", "ttzMss3sFTNrW8n+PzWzJWH/+WbWty6uS0Tqv/ry2WRm/c1sipltNbOVZnZzXVyTiOwd6uqzycw6\n", "m9lrZpZlZkVmtn8l+/cys8lmttPMvjSzk2v7mmTPUzATB1htH9TM+gOPAhcDnYBdwMMV7H85cBlw\n", "qnOuBfBtYGNtX5eI7DXqxWcT8B/gPaAtMBy4xsxOr+3rEpG9Rp18NgFFwHjgnCT3fxaYBbQDfgv8\n", "18w61MF1yR5kzrlUX4OkiJn9BxgD5AKFwO+dc3+upWPfCezvnLskPO8DfAm0c87tLLVvGrAc+J5z\n", "bnJtnF9E9l715bMpvJ4DDHTOLQjPXwBmOefuqY3rEZG9R11+NsWdIx3IA3o551aUs89BwGdA+9jn\n", "lplNBZ5xzj1Wm9cje5ZGzBow59x3gRXAac65lok+XMxsfzPbUsHjwnIOfygwN+5cS/AfZAcl2Lc7\n", "0A043MxWhOmMt5lZXdyREpF6rh59NgFMBL5vZulmdjDwDeCdmvx+IrJ3quPPpqroDywpdTNpbtgu\n", "e7H0VF+A1G/hbk2Fa8PK0QLYVmrbdqBlgn27h3+OAA4L55sIrAKeqMa5RWQft4c+mwCuByYBvwAa\n", "4e+Qz6rGeUWkAajBZ1NVlPc51q2Ozyt1TCNmUleygdaltrUGdiTYd3f4573Oue3OueXAY8CpdXh9\n", "ItIwJf3ZZGbNgHeB3wGNgR7AaDO7uq4vUkSkAtlAq1Lb2uDDmezFFMykwkWGYUh+RwWPi8p56zxg\n", "QNxxDgAyga8S7LsQP5+6StcmIvu0+vDZ1B9o6Zx72jlX5JzLAp5HN41EGrK6+myqinlAHzNrEbdt\n", "QNguezFNZZR1wAH4u8JlhCH58qb4VGQs8IGZfROYDdwOvJRocb1zbpeZPQ/caGaz8Xd9fgTcW43z\n", "isi+IeWfTcBiIDN8kXoe2A+4APhfNc4rIvuGuvpswsyaUPzdvImZNXHO5SQ4x1dmNge41cxuwd8s\n", "Ogx4qTrnlfpDI2ZyF3BzWJD689o6qHNuPnAV/kvQOqApcE3sdTN7xMweiXvLT/BD86uBGcBY59w/\n", "a+t6RGSvk/LPJufcFuA84JfAFnyQ+wy4o7auR0T2OnXy2RTswk9HdMACILphlOB704XAEGAz8Efg\n", "HOfcplq+HtnDVC5fREREREQkxTRiJiIiIiIikmIKZiIiIiIiIimmYCYiIiIiIpJiCmYiIiIiIiIp\n", "pnL5IiIiIiI1ZGYGjALOCpvGAROcKu1JklSVUURERESkBkIoewK4rNRLTwKXK5xJMhTMRERERERq\n", "wMxGA281A24M2+7FNyYDRjvnJqTmymRvoqmMIiIiIiI1cxb4UHZr3Mbb/D/OBhTMpFIq/iEiIiIi\n", "IpJiGjETEREREamZccCV98ZtiPv5lT19MbJ30hozEREREZEaUPEPqQ0KZiIiItk0wdAAACAASURB\n", "VCIiNRTC2Uj8mjLwI2UTFcokWQpmIiIiIiIiKabiHyIiIiIiIimmYCYiIiIiIpJiCmYiIiIiIiIp\n", "pmAmIiIiIiKSYgpmIiIiIiIiKaZgJiIiIiIikmIKZiIiIiIiIimmYCYiIiIiIpJiCmYiIiIiIiIp\n", "pmAmIiIiIiKSYumpvgARERERkYbGzNKA44AeYdNKYLpzrih1VyWpZM65VF+DiIiIiEiDYGbNgWuA\n", "q4A+pV5eAjwKPOyc27mnr01SS8FMRERERGQPMLPOwFvAQICewDfCax8Ay4t3nQ2c6pxbu2evUFJJ\n", "wUxEREREpI6FkbL3gYEHAn8FTgEahdcL8YntemCx3zQbOH5PjJyZWS/g4PB0gXNuWV2fU8pS8Q8R\n", "ERERkbp3DSGUzQBOoziUEX4+Lbx2oN80KLynzpjZSWY2AViKz4VvAUvNbIKZnVSX55ayNGImIiIi\n", "IlKHQqGPxUDv1/EBrCKvA2f4H5cAfeuiIIiZXQU8DFgTfBUSgOlAjv/RAdc45x6t7XNLYgpmIiIi\n", "IiJ1yMyOB6b1BL6m5EhZIoXAAURrzoY5594Lx2kMHA50DruuBT53zuVW8XpOAt4B7DfADUC78Npm\n", "4P+AO/1TB5zsnJtcleNL9ahcvoiIiIhI3eoBvtBHZaGMsM8xRMGsl5l1B67ED2yV/v5eYGbTgceA\n", "l5xzeUmc4iZCKPtjqRfaxW27Eyzsq2C2B2jETERE9ilmZsAo4KywaRwwwel/eCKSImY2Bhh7IfBs\n", "ku+5EHje/7gO6AQ+JR0M9A77LAUW4Ie1gsXApc659yu4ll7A0qZAFtC2nP02A92IpjX2VkGQuqfi\n", "HyIiss8IoewJ/AL2K8PjLeCJ8JqISCqsBF8SvzCJnQuBD4ufduqHb262BZgPvBke88O2R4F+ft8D\n", "gWlmdmMFhz8Y4FjKD2XgR86OK356cLk7Sq1RMBMRkX3JKOCyJqRxBV24gi408f+ruwwYmdpLE5EG\n", "bDqwdDn+TlFlxlPc0+w3wFz8XabWCfZtHV6bC/wWMD+wdk8l4UzqIQUzERHZl5wF8D06cQVduYKu\n", "fM/PAAI4O3WXJSINWaiq+Aj4PmUbKth3PfDz8POF+PVejZM4R2PgDuApfDID7jaz4xLsugB8UtxS\n", "wfE2h33i3yN1S8FMRERERKTuPQzMXoyfRvg6Jac1FoZtx+EXinXCz8uuqu8Cv/Y/GvAvM8uMfz2s\n", "FZuYA/y5guP8H9H6sglaX7ZnqPiHiIjsM8xsNPBWE9KikbJ/s44cigBGO+cmpPL6RGTvZma98TMH\n", "Twc6hM0b8ZnqMefc0kre3xk/U3EQQE989UXwa8pi0xcbAwvD69WRCwwIxwAucs49V+o6VC6/HlIw\n", "ExGRfUZc8Y/LSr30JHC5KjOKSHWYWR/gfuBUopmCZTh86LrOObekgmM1B64BrgL6lHo5B2hyH3Bd\n", "Da/5UeBq/+NU59wJCa4jmQbTVzvnHqvhpUiSFMxERGSfEsLZSIrXlL0CTFQoE5HqMLMj8TU7OmYC\n", "FwCXA33D64vwd4OeB0IDsQ3AKc65WZUcNw2fh3qETeuAtw3StwKtanjd2/BVFx3kAy0TNaE2sxPx\n", "fcpGlXppAnCPRsr2LAUzEREREWmwzCwDOJySs/k+d87lh5GyD4GOI4GngY7lHGcDcAkwsfjpMRWN\n", "nCW4jiHAzEPwZfBrwyFEVTuOcs59UsG5e1FcEn+B1pSlRunO4SIiIiIi+zwz6wb8CLgC6FLq5TVm\n", "9jjwTUIoewPIqOB4HcM+pwET/dP78GvRktUZiptH14Y+RMGsc0X7hSC2rBZPLdWgYCYiIiIiDUaY\n", "7vx7fIuwRuDDUK/w+jJgqQ9qtwJk4kfKKgplMRlh3+5AHnzbzHpp9EmSpXL5IiIiItIgxBUIuiUN\n", "Gp0LTAa+Bt4Nj9jP/cJ7LqD86YuJdATOD6fDV3BM1lrwlRSvB44Mj+vx69iqI24e5dpqHkL2IK0x\n", "ExEREZEGwcz+ANzSDPgvcEoF+/bHr/WaCgyr4nmmAcP9j/Odc/2TvLYmQDZhFC9ebCTu/CpcQzLF\n", "P6R+0VRGERFpcBJUQ1sJTHfOFaXuqkSkLoU1Zb9Jo/JQBr45GRRXX6yKuPd0KH+vMnoQZrONwS98\n", "A3gceAZfWGRQFa7nWXy9e2CGQtneQcFMREQajEr6By0xs0eBh51zO/f4xYlIXfsR0Og7VB7KUuQa\n", "wMYAY+M2DscHrGfxTcf+msSBcoG/FT99tNauUOqU1piJiEiDYGadgfeBe4E+XchkJG0ZSVu6kAk+\n", "qN0LvBf2FZF9RCiJfwXAj5N8T2yoqzrru+Les7H8vcoYBsUjZfFiC9WmJXmgP+DXqgGLgZercA2S\n", "QhoxExGRfV4YKXsLGNiDxvyc7hxLaxphABTimME2/sIqVpI7CBhvZsfX1siZegSJpNzhQJfeRGu/\n", "KnU6fo3ZE1R9jdnfi398rYpvrbH/AHf5Hx3wA+dc3p6+BqkejZiJiEhDcA0hlD1JP46nTRTKABph\n", "HE8bnqQfPWgMfinHNTU9qZmdZGYTgKX4YPgWsNTMJpjZSTU9vogkrR34kvhW8X6RK8O+z+O7RSdr\n", "A/CC/9EBj1XhrdPArykrLXaQigJiLvBb4PtEa8t+5ZybXoXzS4opmImIyD4tFPq4GuDndKdtBd2I\n", "2pLB9XSPPb0qvLe6570KeAcYmYkxlJYMpSWZ/mvhSOCdsI+I1EO9gVOBPHzhjfwk3pMPXBzeA7xZ\n", "xdHxh4H8Z/DFP6aGxxj8+rJGwHcTvGkbfhHZAOBOwPlcdpNz7t4qnFvqAZXLFxGRfZqZXQQ804VM\n", "xnFYiZGyRApxnMUXrPFfrW7Cz2ZaC3yebGWzMBr2DmCX0plL6ETrsHpgGwU8zTr+6dsKOeBk59zk\n", "av56IpIEMxsMzOqN71OW7KjZEuAY/CjYSHzJ+vJ6mm3Ah7JJxU+Pcc4tKWf38q7zfCroZ234/mqx\n", "ykWLga9K7pIFfM85925Vziv1g4KZiIjss8zsPMLN5pG05c4yhRgT+zVLmMSW0psLgOn4WUUvVbRu\n", "I0xfHHkpnfkx3RLu8xBZsXA2wTk3OqkLE5FqCcU/lgNdJgMnVOG9s4BvAVuBTHwvsR9RXLZ+EX5N\n", "2QtEI2XrgVOcc59W81r74qdSx2Yuvo+fDn0WcCzlhLY4W4F/Ao86576qZF+pRxTMRERknxS+3Mwj\n", "fImpTjA7iKZ0JIPV5LGMHOL+j7kYuNQ5936C8/YCljbGeIsjaFVOna1tFHAKn5Hnj9pbBUFEwMwy\n", "KR4QWlKbhSvM7Dbg1nOBF6v43tHAhMp3c8CbwE+rOlKWLDNrhg9dUa/pAfhpl+DT29ySb3kQuN45\n", "V1AX1yO1S2vMRERkX3UNkDGUlgB8zk4KqfxmZCGOL/DFGH9JD+6jLy/Sn8kM5NfsT09fHORAYJqZ\n", "3ZjgEAcDDKBFuaEMoDXpDKRFifeINARm1trMrjGzJ8LjajPrZGZ3AKuAL8NjlZndEcJIbfg7UPgy\n", "ML4KbxpPND2xED+z8W78FOf14TE/bDvAOXd6HYaydPw0x/Mzgcvxo3lzgFfCY07Ydjl+dA/4CfBC\n", "eK/UcwpmIiKyrxoGcCmd6UYma8hjBtsqfdN0trGGPLqRyYDi4EQLGnEOHXmWQ7mMzphf7nFPOeFM\n", "RBIws6vx66AeAn4YHg8Dq/FFBTvuD+zvd+8Ytk2qjXDmnMsC7iwCzsOXSK3M+LBvkX/6R+fcR865\n", "Xzvn+jvnOoVH/7BtaU2vsRJ/Bc5uC7yLT5mDwwu7w4Ow7e9hn7Z+09kk15daUkzBTERE9mlpGOeE\n", "5fp/YRVbKqittpl8/soqAM6hI2kJSgRkksY1dOM2esVevdvMjovbZQHAHLLZTvmzh7ZRwByyS7xH\n", "ZF8WQtnDQPPhwAPhEfqKpQFcDywLj6lAD//ascBvaukybgWe3AWcBpwLTIYSY+kOH2rOxfcy2+U3\n", "/wO4rZauocrM7CDgJ5nA68Bx+LD4JL63R7PwGBS2FYV9Xqd45CxM75Z6TMFMRETqLTPrbWZ3m9k8\n", "M1sXHvPCtt6VvH0awCts5Dw60o+mrCSXy1jINLaWmNZYiGMaW/khC1lJLv1oynnl1l7zvk17fkBn\n", "8CNn/wprYwhrxSbm4fgP68p9/9Osi60vm6D1ZbKvM7NWwJ/AV8+Zgp9j95Pwc6xP1+PADvxfqmH4\n", "ZsnBFbG/YzXhfHGFy4Hbi6DwJeAk4IDwz9jPJwMvAUV++uIfgB+51BZmuBrgexSHsh/ghxvnAOnh\n", "MSds+wHF4ey7pY4h9ZeKf0idMTMDRuGrCAGMw38B0X90IlIhM+sD3I9vI1ReZWuHn2l0XaI1HfHF\n", "P0bRlpNpywNksRJf8b4LmRxGcwC+YGesPD79aMp99KVDpYXPII8iLmI+y/0xL3LOPRfOrXL5InFi\n", "o2XD8UEskeH4uykPU5wgHL4p9Ar/9BDnXK2NLptZN3xIuwLoWurl1fic+Hfn3OraOmd1hGmcq4HW\n", "s/BTFZ/EB7AW+A/KMWHfZ4DrgOywz6XAp8CR/uWtQDfn3K49d/VSFQpmUidCKHsCuKzUS08Clyuc\n", "iUh5zOxI/PKPjhkYI2jLWXRgf5oAsIIcxrGRSWwh3484bcCXpp6V4FjnAWOpvLw03cjkHDpyHh1p\n", "SqOkr/e/bOBu/7VxqnPuhLhzX4X/jmmZWFToYw7ZsZEyB1ztnHuszEFF9jFm9gTwwwfwo2SJPAhc\n", "iw8cT4RtDugJrPRPazWYxV1bBnAY0D5s2gR84ZxLpqd0nTOzE4DJA/AjYuCnLM6hOHzFi4W2QfhQ\n", "BjCQqFrjCc65qXV6wVJtqtAidWUUcFkm6YxkAAATmUseBZfhW30kUXVWRPZl4cvQ4UC7sGkz/kbv\n", "W0DHY2jF7fSibalM1YEMBtOS6+nOLSzjQ7Z3BN4yszLNXJ1zL5rZHEr2BJqOvyGffjM9aUIanchg\n", "AC0SrimrzGjacQ8rcHCsmTWONaF2zj1qZguBm/Jwoz5mR/zbJgD3aKRMpGLTiELZBny/51oXAtjs\n", "ujh2LWkHxSXxd1M8fXFMgp3HAFfif6HdQFP8qGMIZu0TvCUSbqyPBM4Mm14FJtbFDfVwrsFESwlZ\n", "CXzakG/eK5hJXTkLYCQDOD02gA68wSzw1YEUzEQaqDB96Ef46UNdSr2cCzQ+hlb8jQNJryAotSWD\n", "v3EgP2NxLJzdh1+rX4JzbhG+pkDs/EOAa3vThLPoUOPfpwWN6EkTlpETC5qfxJ17MjA59DaLlcRf\n", "oDVl0gDNAn74X8ofMYv1FhuMHymbRon1UY/XZk8zKSsEpcfx0ztjrgaeMLMraiswmVkT/Iyqa4D+\n", "pV6eZ2YPA08653Jq43x7ExX/EBGRPcK8PwDL8ZXRunQjkyG0ZAgt6eRHxhpnYNxOrwpDWUx62DfD\n", "7/vtEIAq0xmgKzWuIxDpVnyszoled84tc869HR7Lau3EInuPscDOqfhv/qU9TqjWA9yFH+E5gWi0\n", "bAZwZx1fX322GXzzaPAjYAOBAvyastKeCa8NCvuCr3IZbKrgPCOBy5viP6BvLX7/5cCI6lx4aWbW\n", "Hl/08iGgfyfgjPDo5HfpH157N+zboGjETOrKOODKiXH95+N+fiUVFyQiqRO/7jQNOJE2nMd+HEkL\n", "LASw+1nFv1nHCNqWmb5YkbZk8C3a8habDT+D59d18CuISA0457ab2S+Bh6/Ep7TzwmsvUhzKgOxV\n", "RA0EN+Az250NvGDFx8DWudDmU/yIYmwt3nX40cX44h8/DT9fG/45i2ga41ZgZgXnORPgRor7Ajh8\n", "SUr8TKiJNfklwkjZ68A3egB/DgeN3dbKw395/AWwEr4BvG5mJzWkkTMFM6krE4An8yi4LExfjHmS\n", "Gv7FFpG90u+By5qQxj304Thal9nh/dD8uTrTC8+mA2/5m8pnUHkwWwvwOTu5hC8BGEQLzqNjVGCk\n", "qrKIZlitrdYBRBoA59wj/h4Nf5oGzaeVfHkn8Et8v7A+YdsSTV8E59wuM/sX8LNH8M2jf4Cvbvkf\n", "fEC7Muwb65z4PeD74edHig/1zxQH3MsIoWwG0B1fNjd2t/5s4Hx807pjicLZZfgiSg2CqjJKnYlb\n", "QHp22PQKdbSAVETqr7CmbHkaNPorByYMZQAjmctmCnibI5IqVR9vI/mM5jOA9c65TpVcz8XA06W3\n", "x6ZFjohqkSQnm0JOZA4O8oGWseIfIpJY6Gl2MVEVd2YBY51z21N3VfVH+PM5lpJVItcBn2bi5wHG\n", "epk9hW/SHatcMgg/UvZ9/Hql9/E92UK6PSisuS3vvKOAt5viEzL4xnO7/Y+jnHPVvrEevhN+DvR/\n", "Hh/A7gF+VWq/u4GbgOeBC/2mL4AjGsp3RwUzERGpU2Z2G3DrybThHg4od789Eczie5uNph1nh9G5\n", "V9jI22wmHeMFDq3SyFl55fJFRKrCzAbgi21cAqHJYrGd+GVmh7XFzwc8Lu7FEJ6iNWXgQ9kZwBb/\n", "9EHn3LVUoJziH+Cnodeo+Edog/JJJ3xPukX4/gRpFJf7/yc+bH4B9AX2x6dR4Ejn3Kc0AJrKKHuc\n", "maXhP0/iy6NOd84Vpe6qRKQuhJL4VwCcx34V7tuGdDZTwApyqhzMVhAtQdhYya7XEELZHVHxaTiS\n", "ljgcE9jCi2zghujjqWJ5FPFs7KsDPFqlixYRAcwsE//5EbUkOwZfAAV84Y4PfVA7DHzQOhE/XfEa\n", "/Jqz+EA2Cz998T9EI2WvEFeZtjzOOWdmV+CX/Z0VNo8DJtXCiFUPgKPxa8pi0xcvpWTPuifDazcD\n", "Q/EBFJ/RFMxEapOZNcd/hlxF8fzxmCVm9ijwsHNu5x6/OBGpK4cTqi8eGa3nT+x4WrMkNI8eTMsq\n", "neSV4jz2WiW7DgOikbJ436EjE9jCbLKTPu/fWcNycgEWAy8n/UYREaJQ9howqil+qOoq4NBS+83H\n", "J7cn8KNj+fjFeP8ABlAyxM0t+dYHgeudcwUkIQSw/2fvvOOjKrM//JwUQkggkAChSSc0RUVFECm2\n", "BUXs4O7aQFwVy7quP7HsqmtZ17auuyqiYlnbKnYRESwoKCICivQOUkMJgSQkkPL+/jjnzkwmM2kE\n", "pNzHz/0wufPeMsG5vN/3nPM9k/H9AH4VfGHms18QkSZo09hjANJIpq0Zo64kk23ktgUeAX4nImc5\n", "56pcQO/3CfLxOSBJBWhKQsB9MRoX0IhXyOQztnMzLSrtzLidQj7XZB0HPLuX91tpJrCNl9XrwwHD\n", "fJMCHx8fSwfsQsD9nUxgoUWj2qIGis3tvfWorhrQGPgEQjq/lqYL8B80SnYWaleJpmU3nwv1w8RY\n", "Nhp8GlNeTdl+Zi3A92gU73zgLjR90QvFvWx/nm9jZgaP/WX/3OKvjy/MfPY5FimbCBzTmHoMoRdH\n", "cgQx1kavhBLms5a3+Y7N7DwW+ERE+lQ2ciYip6K1or8J2z8ZeNg592WNfiAfH599QnMS6E0K37CD\n", "u1hdYYNpgCIcf2UVhfpP+4RKLMhMBbq/z1aOC4vKvWdTnWMriOztoYTn2cjLbPImFLc7576t4Lo+\n", "Pj4HGFZacQZqbOgVwK5AA1GfVaXEQkRSCGYXdgp7e5WI5AOdoexDLQZ4nNKibBtaIwZwMkEXkOPR\n", "CVUfIF97fp2IZjKGGoX8cAC2F5gDLMiErh+g5h8PoeYfL4YMegj9UG8RqC+bT9Db5JDHN//w2edY\n", "35JHGlOPUZxL3VKZ0EFyyOcRPmQzOwFGOecercS5r0VtVCWeWNpZb9cVbKKQYtCFmOucc37th4/P\n", "r4CIdAdmN6cWH3BkhVGzdexmOIvZThE9qcf9tI4aOdtOIX9lFd+TA7qA3NM5t7KC+wmYfwygARfQ\n", "CFBRNslK5K+mKb8nnWRiSx2bSzGfksX/yPTSFx0qyh6p6Pfg4+NzYGFGG28BHaMMWQIMdc79XIlz\n", "9UTTERsBNEYVGMAiYHPI2DOBs+31DGAcsBtVVu+iK8x3oNExz941Ae1X9g8IPJVuRHMU0ajYyIru\n", "8UBARK4Dni7PLr8rsI6AXT7A9c453y7fx6cmsNWo5UCb6xlAN1qVO34uaxjNJICVQIfyVqssUvY5\n", "IGdyDGfQjSRzUsujgM/4mYn8BDp5Os05N6UmPpOPz+GE1T9Uu6eQmX+sAZqOIYPjK1E7tog8/shy\n", "tlNEPMLpNOB8GgacEn+hgPfZyuds9yJlm4EzK+vaJSJDUbv8qLmSArSiNs2t9el69rCaUj1ONwIP\n", "Ai8egCvTPj4+5WCibCpQryVa03W6vfc5WstluXM7gT7liTMTZV8CiSeizZHPJfhwKUTdM/6JpvEl\n", "2uCe9v5W1Jr+ZXtvCPCKvdfP/vza/rwVrfkArTnrqi/zgGYHQ6sBazD9JdbL7FFUjIU2mH4f/Zwm\n", "yqaj87cDosG0iMQBg9HeaqER1heB8ZWt4yv3Gr4w89mXiEgfYGoayTzAbwPpi9EooYS/8ibbtPi+\n", "r3NuWjnnngT85kyO4Tx6RBzzATM9cTbJOTewup/Dx+dQx9JwLkENvgB+Rhc0h2GrwGhU6jngwaqI\n", "kcra5Yeyjt08xtpA0+koOGACcFNFkbII99QBTTnqa7umon1bu6HztJMoR7iFkI2WSYxxzi2tyj34\n", "+Pjsf2zBeCHQ8XzgDSjTHKMALQSzSM4SoEukhWJ7bi4DGl2O5j9GqxEqRI09XkEfqMuBevaeQ2f6\n", "L6NpjSXAZ5QWi2fYfa4jmLPYExV7wEDn3KQKPvoBgYikoWaLvUAL8bwZ3EwIetyqKDvHObdt/95h\n", "ZESkBxrgjBZhWINGWGdGeb9SlD9L9vHZe44AaEt6haIMIIYY2gQttYfaan0ZzOjjN/HEcgZHRz3f\n", "GXQjXgP/A+wYHx+fMERkJFqE/jRaazEC+De6cNmoCbVoomuajYC/AJ+JSJ0qXOJ5oHgK2RUJrQAt\n", "SOAiGnmJjw5YikbGNqOTqoeAds65wVUVZQDOuWXOuZudc8fZdrNzbqFz7k3rRVYXnfd8HHpcBon0\n", "pz79qU+GpmXXR22ol4jIk7ai6uPjc+ByBtCxJSrK4tAi9aa23Wb73kA92tFUx9MjnAe0pqzRiZQv\n", "ykBXecaiBWFbCEbFQCP0j6IpiyWoUAm94OnoClIBwbozIKThRwSb2QMUE1qnAtejNWeMty2kpux6\n", "NFJ2IImyKUCrDOAJtFP2PHudocNaAVNsbLXx/wHxqTGirECHF8BWhRuAgSIy3Dn3Tdh7nQDa0YQk\n", "EqKeIInatKMJi1nvHbN6L+7Hx+eQw0TZaIDuJHMaDQD4gu3MMdv4K0jnIhrxI7ncxSoyKTwJuBNt\n", "NVMhzrn1IvJgCdx1Oyt5mLb0JqXcY75hB7ez0jPXuN85d0/1PmG1KUbnaGfHIwwijXNII4M61A5Z\n", "ZFrMLt5hCxPYRiHuBqC5iAytiZQWHx+ffcII0LB4bfRLHlok6r1+GLgGXYmyY0rZx5v74nWg6YuV\n", "mVDHA7egxhejUfXhVd02tP2vUrombX9gC0oBF8l9/fyy1MTRIvIMcCwBDcwvwI810DOtxrDfzTig\n", "ziVoekRoKsWR6P8Ew4A3oA4wTkTaV/d36EfMfGoEERmC1nD+CU2F6m6vB4Ja4pdQsblRCSWsskdS\n", "A2163x6YKiKj9smN+/gcxohIPXShljtpyXN05GIaczGNeY6O3Gn/Vv6H9eRRQnfqcl9wjfbqaBHt\n", "KNwDvFhACTeznFGsYBY5OIL//jocP7CTUazgzyynQJ8ZLwB/2+sPW3X+BZxflxguIZ2F5HElSziZ\n", "H/k9C/mQrZTg6EQd/korniGDehqdP9+O9fHxOTBpB8GIlBe5ete20H1nBI9pH+E8XYBO6WhNWWU5\n", "DzUHWYSG/kM50f5cjaYvenyOrnTXRh0aPVYFX26lGohICxF5GNiEZkmuAzaJyMMi0qI656wKTpnj\n", "nPvAtjkHkigzBmORsnBR5hGPpqF20B9bEfR3qTK+MPPZayxS9joQ34P23MLZ3MLZ9Ah5jm0jl/le\n", "KWc5zGMt28ilIXW5l4s5k2MRXVB6OEycLQZ1X8wL+BaVJY8CVrCp1DE+Pj4BLgGSupMccCcM5QIa\n", "0Z1k8inhU7IAjaqFpDWGN4qPiv1jexVwfwkUf0k217KU85jPtSwNvB7JMr4kmxKNWN0H/GF//0Mt\n", "IhnADXHAkSTzMptYSj6xqCPaUvK5nzX8jdWUmLA8hmQepz3xuv59gz0X9+c9i4gcJyLn2Xacrej7\n", "+PjsG9JBU3Eq13FRiSfo2JhZzrgzUPOPfgQF4o0E68sWEqgvywO+q8ItAAHTkrnAKCCtMXiFJGm2\n", "b66NOdy5EjQqVt7fc7yNMUZU92K+MPMphYi0EZGHRGSBiGTatsD2tYly2HWYKBvBqWTQjAyaMYJT\n", "OSGk0P9tviOH/KjX3kk+79izpS9dSCCO8ziBYfT3Qv0PiUhvAOtVNLmQYj4L73Efwmf87NnmT/Ib\n", "Tvv4lOE4IJC+GAnvvUUE2wqGRrmqgq2O3o2uKP4N2LCePcwih1nksJ49ABvsvZbOuXt+pdXTkQBH\n", "kcx37KQOMdxNK6ZxLNM4lrtpRR1i+IQsPiZYAnEMyZyl/bQD5wjHBNQAERlt24C9EVAiUtssqOcB\n", "s1C/gvft9TwRuc6c0Hx8fJQVEIxIXW5/Xmhb6L7Pgscs3w/35QktTkbrzaYSjJTditrlezwTfPlq\n", "VR0ZLRo2AUj9DWrbv8m2GQSawqYCE/ZH5Czs3hqISIZt0f9x2n+0AzitEgND6gIr53IVAV+YHYaI\n", "SLyIdBeR023rbl+Aj9EH1m1oiN5bQOli+1aIyMfWuT6UvgB9IpST9bV1oXhi2cxOHuFD5rKmVFpj\n", "CSXMZQ2PWg+zI0ijP10C7/ckg4EcAxo5ezkkfephwE3kJz5gJnkhVtZ5FIQ6Mjob6+Pjs5fMIZdM\n", "CkHr16tsugFac+acuxdojaY9n2Fbd6C1c+5e59yGmrnjqmGmJsMBsvRzRQDJXgAAIABJREFU8n8c\n", "wTk0pBYx1CKGc2jILeprxFth1SBDguZFw8MNUkyAPQd8igq3kfb6ueqIM3M3+xI1bemaRhx9SaEv\n", "KaRpxUtXe+9LG+vj46Pp0YxBzTT+joaHmtg2yvYVAM+GHRNGEWgqTmEVLl6IpjFCsKgLNBdxHDrR\n", "+S/qxvSBbevQ2jevh9ms0jcUotEqzY2YKJuAplCKbSfavhBxdkM1zl8lRCRORM4Vke+ALNQJcwmQ\n", "JSLT7b3DwhfjsPiQPoqINAf+AFyNmg+FUgLExBHD8bSjN51It+L8THbwLYuZxQopomQQ0ENEznTO\n", "za7stRuTQgzCWrYxmkmkkRxwX1zFZs8enyNI40bOJCEsYDyI45jDKjLZ0R64AHjTOfelrRSPnshP\n", "8jnzojWYHun3MPPxichsYMQXbOfioKAoxRfWdLkTdZhNDncHqxqeq2pPs3Ccc4XAj3tzjn1ADyCl\n", "PbVZTgGxwMBgFCzAQFJ5kDUsIZ8CSgKGIJ2oQwaJLCW/PnACwRZEoHOdqxIQLrdn1StsYjfuKuBt\n", "wswFysOiYOOBXunE8yda0J/6xNt9FFLCV2TzBOvIpLAXMF5ETj1Q+gH5+PyKfA9k/gLpLdHVizTU\n", "yegy1MK+APgdgV5mSyhd8uVxAWg64ofARZW8+AeouUdnCCxBOzQiths4i2COeKTatVk2xvKPXqpM\n", "A+xQTOCMAM0VjyQE4oB7CTyQrhKRv+4rQxDLxvoSXaiLRC/017banmGroozbV6wAOn+BGn2UR8j/\n", "JCuqezE/YnYYYKkz96E9Fu4BmjakLh1pRhsaI5ooGNOFFjzEJQznFDJoSgp1SKEOGTRlOKfwEJfQ\n", "hRagtSUTQyJnUwGmRSjhmmrrQjvJJ+g9pDVns1jJLFYGasou4ERu5RxSKOvCHU8sp3GU9+O13gvn\n", "3Bg0wjypkGIWs57FrA+kL6J2q8+WOaGPjw9obWjeHHJ5jy1l3nyPLcwhFwFeYhPXsNSLlk1Hmysf\n", "iqQCNC3H7bUimgbapRIepToX4HKacA3NuIZmAYGGegJUhSsxUfYinTiD1IAoA4gnhjNI5UU6ka4L\n", "Xb3sGB+fwxLLDBqDBqDSQcP+X6GmHzegEbMeqDD6QA/bifamKgk7VxJqxAfAY1QualaINpoGrQER\n", "NFLm9TADSKasKQi270Y0Rcme1pMImQ9VgXSspqw8X/cTKVVzll7O0GpjouxHTJSloq6Vb9l2i+0z\n", "WgM/llNWs694EdRFs7y/40IbY0SKsFYKP2J2iGPpMWOBKwXhWFrTn65k0BRBeIpPcTi60IIbGEhs\n", "OVq9LoncwECe4lMWsq4R2udoMOb6OpPl8Q4XSF+cyiJ+sEWDHPLJIZ/axHMG3cigKdlof9oGJNGO\n", "JsRQfiZPD9rzP77BwUkikuCc2w1g0bAp1qfMy6dc7NeU+fiUj3Nup4jcCox+kF/4lKyIdvkO2BxM\n", "X6xyg+kDGXOmPImgiOoIEIt4kS8+JYtzwtoEfUoWxUBHEkvZ5++new7YdP+JFqQT3RwznVrcRAvu\n", "1EjnSBF55gB0PfPx2aeIyFlopmASwCloHZlXPLUOdWKcAvwQPGwdMChKROpsIOV4NJz2PepsNJbo\n", "BhGFaJjqe1R8Fdg9jEMjZXFobuQ4204k2KdsFcH6M+Ml4Nq9zVr4NbHI3Zeg6Vle/5XEkDFDgfuB\n", "BwisBKagqdntnXPF++lWxwNrlkKr4UR2ZixEVfoy/XENYf0vq4IvzA597gWurEUc13A6RwZaRcBW\n", "djKfX4gjhis5pVxR5hFrY2/jdYopGSQirZ1zy0TkEuD1H1gR/0NYBDeFOgyjPwBtaUztciYR5ZFI\n", "LdKpzyay44Gj0Ih+ABNiq6t1ch+fwxTn3DNW3vToHHKTPDFm5AG3E8zQWHkwTwRCEZGj0RqvS7HJ\n", "Wig/ksNQGrOUfB5jLY5gSuOnZPFPc5mNlAK6kcCvKLw56ofAyFeCTrGEvP6gCrffHasp60/9wM4V\n", "5DOFbABOoT7tbIpzCvVJI45tFB2J9gyaU4Vr+fgc1Jgo+wiIvQidFHWJMG4YGpW6B3hHdzUFmgOR\n", "hFkLgD7ALjvuFVSk3YKGv73J+x70y/04QXGVi6YuhnKb3eQ8+/l7yogxUBfFy6uavhhGJrBtM6TN\n", "JGjRH873BPqpbaN8A8nqMgiLlN2J1vWBipxv7XVvVKj9HV0gNPOT1nbsR/vgnsrgnCsSkaHAlNeh\n", "zkx0Vcwz+vgcjU6YKNuFRlirnfYp/sLZoYvVlK0RJPYGBpQSZQDv8T2TmEtPOjCcU6p07hf5ku/V\n", "pOgh59wddr3wBtNrgXOP5Ahu5My9/DTKk0z0bPcHO+eqvSLh4+NTGoscXYI5NaL1Z69X1e3rQMfM\n", "g8ZgBh8AR5EUSD/cyB7mhThQtqAW60xoeYX33jLtIFK5h9alov2LyOMyTevOBpqHRhZDzD+uCrut\n", "scDVlY1kich5wPt9SeFxa0vyMpt4ivWlxt1Ac4ZZquTNLGcaOwDOd85VRQT6+By0WOuLOUDSLWjT\n", "xopcdrx6L0s5zAO6O+eWhp33FuCxm4HXoEwieGOClviLCDaMTgUaoAVIp6KRu6VoU2mxa6eg9W0p\n", "QI6NnQaWY4RDhdlrFX328rDeZaM884/wKE0RWsdmrpQPo0ErT8N975zLZS8xo4+eqWhoMhH4Bi3E\n", "9fy7E9E6t5NtX3Owqme+c86dtLf3UMX77YEGM1tFGbIGFWUz9+Y6fsTs0OYPQOyxtC4jygB+trLW\n", "3hHcFCviZDp7wuwC4A4A59wy4GZvjIhcDZy7nE38nffoQBP60TVgKuLj43PgYAKsOu5eBw0myj4C\n", "BiQgnEdDLqQRbUslz8BK8nmXLXzAVtaxh3bUtv5l6pvRkUQupjFnk1YmBfud4BTtpfB0T+ecs+fi\n", "2wRryj4APtub9MIV5PMU64kBBltG5ni28RTr6UNKIHLm43MY8mcgaQiRRZlXOBaaLyQ2dg3wjkbT\n", "b6Zs+4t1ULZ5WHdUQISKMVCRdj1qLnINKraGA0NsP6jiGoVG7MIr7fNQo45Hgu7UG5xzX0b70JXg\n", "SeCqyZA6CI0iBlQXcDcBUZaFXnM96osCsFNEHkFT2qv13DIb/J6gv4dENFLmiTKvv0e+7dthY64k\n", "IJh7iUh951x2da5fHZxzM0WkPZrGOoKgJf4KtKbs45owSPGF2SGKiMSj7ov0p2vEMbk2yaiOUAo5\n", "pnmU6w9FbZopoJBf2MovbOUrFnIlp3B8NVs8bCXHe7mpvHE+Pj6HFxaN6kKwSD0TWBg2cRgDDEgl\n", "jn/Tns5lMxgBaEsit9KSQaRxE8tZQQGDSeNFWwOPVlP2E7l8Yo24iSJy7X4mUwUHxgisBVhAHoWU\n", "BNIXB5PGXWZs5oCP2MYUsmlJAguDUcBf9uK6Pj4HDSKSAlwBKjxCRdlc4C5gov18JlrLdLR3rB1j\n", "KY2XichtYdkDHwM7ZkDKkQQjZr+gX84VBHP/0tEHk6B1ZV5eeC1UsHkWg6OI3tcnyd5zwKMavH9Q\n", "RLx2a6vM4bbSOOfWicggYMJkSJ1MwOgjVFBmoRGiUaCiE2COCrQH7HaqawLVyHvhGZB8S1CUrbF9\n", "rWzfdLTRdphZSWNgvwkz0LRGgl0M9gm+K+Ohy1GY+2JGGWf8GqVMnaulNL4GxPWgPbdwNrdwNj1o\n", "TzElvMgUMjWlpkrks4dM/Q4WEkzD9vHxOYgQkRhrqjxORGbbNs72VfnfJBFJEZEb0TKP+cAXts0H\n", "lorIeBF5QUTGAcNrQbmiLJQuJPEf2pOAMJ5trKWgXFH2Z5ZTqM23n7IMgn3FHGDBNor4qhLzkilk\n", "s01bLs3nwGtP4OOzr7gRqH0KwbRCUFHWG3V0KLJtvO2bGzKuC1h1PElosCuAcy4PM1L0wuJ1UIfF\n", "51EL/lNt60pQFD5vY0AjZ54oS0EjZRVxj41FA1xer6+1InKviFQpNO6cm4Fq0YfRmrPQmrKH0bK3\n", "P4AK1Nm2vR08xW0iklyVa/pUjC/MDl1SAdKo69nhlyHZgsXVEUkhx0RapbkOiO9Be0ZwKhk0I4Nm\n", "jOBUTqAdxZTwNQuqfM2ZLMeWvqd7jow+Pj4HD2a4sRBtqjwEXYTtbq8/BRaKSLcqnK8nWnP9H6BT\n", "KnF0J5nuJJOqCSFe2smVdg32AM+wgcUEswyzTeB8RTbZlM5E6UwS55oj41g2lrmHReRxP6sZyVJ2\n", "avXZ+4SkdO8LLOo2GuAJ1tHNROZ4tnEfq7mP1XxsviPdSOLfmnUF4Dsy+hxODAZ1PgzlLjQ18AI0\n", "qpVpr/PQFL5QQo7tH+H8DwFrV9oP3hPlZjRPMLRhYIHt8x4MtdBQj+e6OIyy6YuRSMJCgKizo6Us\n", "pdutTwoVZyLSRUTeEZF8294RkVK+J865dc6529FOAS1sa4L+Wp4HYrsDF4YccxHqIIRGzvqLyLUi\n", "MlVEltk21fbVLeejBHK+vYIsz+ijAI2UtbLXiahtbuhYYzOHIH4q42FMN1qyke18y+IqR9W+CfSt\n", "j+ju1RegT4Tatb505gdWsKyKmYiFFPNFMEg2pkoH+/j4/OqYKJsK1GtCLS6kIT2sZGEmO3mXrWxi\n", "T0dgmoj0qch1zETZl0DikSRxKen0pz5xthBVhOMrsnmNTOaTRxzCCdRlNjlMZyezyeEh2jKHXN5i\n", "M3ts2acWwsU05gaaE2vnuohGjGMLX5DNxSyghfU428gelgbK1AF4Crh5XzViDeNF4NJMCnvdy2oG\n", "0IBJbOejECPIATTgXlaH9p57cT/cl4/PgUISBC3xQWvKvPTFZwim740G3gM+sTFe1CLk2DJd5p1z\n", "m0RkANpP7AhvfzHwR7QmLNS5z4uUxaALRJ3RaNoqyu8nFo5XCzYI+B/ah+0yYL2aRN4O3GMC7DuC\n", "dWGg+uoMEenlnCvVKs2eWesBRORM1ESyMrwDZZo+tkfv5REReRT4e3gfOOfcdhGZAfR8CU0j9Yw+\n", "Ipl/xNu+kAfYd/uzvmx/4kfMDl2yALaRgyPyAmlfOiPALFaQU3pyUS455DMbb42IW/byPivFBGZ7\n", "Ubrl6PPTx8fnIMFSFN8C6p1Cfd6lK8NpSleS6EoSw2nKu3TlFLV+rweMKy+t0WpHPgISB5HKWDpy\n", "Og0CogwgDuF0GjCWjgwilSIci9nF23RlMGnsxvF/rOBVMtmDC0Ta9uB4lcxSDodtSeRIi0qtoICv\n", "2cHX7PBEWTY6iclwzt24n0QZzrkCNCLwXSaFTGI7KcTSigRakUAKsUxie6goO8eO2eeISJyInG9p\n", "pAttG2/7/AVhn/3FPp+4O+cWobrqNShdx7YVeNM2T5RlEKxj+xNBp9fqIqiz4yvBXdeYx8B9QL2z\n", "UZeStWjqAPp8vbeC094O2lOsHrr6/k7Im+9QKh86oQ/wBsG8yjdQVQbUtft4Icrz/CHQyeoDtuNk\n", "1OjjK9t22D5Q8bY97NhDEV+YHWSISC0R6WRbeQ3B5gEbt5LD0gjpNwANqceRtKTI6r6KKYk4LpRi\n", "SniBLynSsTOccz9EGDYVYJpaRoe9oZG2DmbhXBlmsJRP+Qm00HTYodJHycfnMOIMoGMTavEAbUiI\n", "8E9PAjE8QBuaqG19R4KLzZG4HGh0JEncRetSgiycOIS7aM2RJLGdIr5hB3fTisGkBWzvn6YDz9GR\n", "5+jI03QAYBybS6U1Ngv2X3wAXXm+EE1vau6cu2Uf15RFxDm3DS1juR5YsINi1rCbNexmh366+fbe\n", "aTZ2n2OW0t4C2tloYKCzvX4P2CoivfbHvfgc9mwCgom86KTXa94zkmAq43W27yxKT4xDjs0iCs65\n", "Tc65y4DvHNpvpAdQH1Um7YC/oNb3U1BRkwz8nqB7WlX81b3eZqHOa6dQKq3xSjSgxhjb34JSbkRn\n", "Rzu3iHQE+iajLQNG2f4h9rm8vHPQKNYn6ITvd6jozLDXU+09q+QdhrYqC2cC1nv2QRuQb+ftZ5sX\n", "KbuTQA8z7JgJ0T7DwY4vzA5grKj9OhEZKyIvicgnaKh5kW3rROQBESmTmmwOPc8BfFVOPdfFnERd\n", "arOQdTzFp+VGznLI50kmskhXkrehPY8iMRoonMlyxvIFS9nAUjYwli/4gRUIUimL/kKK+YCZvMxX\n", "Xszvdufct+Uf5ePjcwAyAuBCGpJADEU4/sM6BjCXAczlP6yjCEcCMVxg9VzeMeGY++J1AJeSXq4o\n", "84hDuNTMGj07+5toQS07tnlIJs6J1KM7yezG8RMRW/Usds69Z9vX4Zb4Ue45TkSa21ajESPnXIFz\n", "bjRq+HQccL5txwHdnHOj92OkrAc692zVkgRuoQVv0oU36cIttKCl/p5TgK9trI/PvuQrKBVNAjTy\n", "koSuEjSx7T1ULN0XNjbk2K8qcb1rgJzZaAfktcBOdJXiATu/59TYzn72JlEvQ0j3xOjkAf+119Em\n", "YKgeqw1EyZcql46g9Sj1CDZ+9iJnoc5BH0C5HWrPRC0djVHhRiGWXXAqGhjjH6iI/D87bpy9bk4p\n", "UbYDONU5V8whit9g+gBFREairTTKWIfVIYHaxJMVnDRMB84InyCENpi+ngEcFaGXGcAatvAkE8mh\n", "gDhiOI62nEzngCV+Jjv4hkXMZqUXKdsMnOmci1Rf5l17KBraL+PaCGq3fxpH0YP2JFI68LeDXUzi\n", "J2axkh1aTuuAu5xzf490Lh8fnwMbEZkNdP8vnehKEv9hHa8EpijK5aTzR1qwgDyu0Gj7XOfcMRHO\n", "1RWYn0YcE+hWKWEGWnN2Fj+TRRFv0YV2JHI3q/iELK6lGVeF1NlezRLmkMtjtKO/plcyjMXM16nT\n", "QOfcpEp+7haoM9wIsAZjuqj1AvCkc25dtGMPNkxwLgdanWmNt8P/bopw/I3VfKrBhzVA+/2V+ulz\n", "+GEpz+uBpIWUdWa8G43qgEbK7iOYZgjqUmTNhvKAZmF2+dGu2R9Ns65bFzXq+ANYG3h1f/ytXecn\n", "29cTjYKVZ5fvMQqdGPakdA+1L4HTUDV2HGo9Dxoa8yJlI1GPf+Ad59wQIiAi5wAfnkXpkFSu3eN4\n", "4N9oquLUCu7Vow/aOBq41jn3bIRrtrGP0LqCU61GRdmqCsYd1PjC7ADERNlogAya0t18e+awKpCW\n", "+Dt604xUXuRLtutk4e/Oub9GONd9wF21iOMaTo/YaBpgCzt5i+nMK7/FjUO/qzc551aWN9Cu3QFd\n", "2e5ru6ai3+37seeUAOnUpyF12U0h69nOLiIaLmYDLwFjnHNLK7r23mAr8t0JFvOuBeb4bmY+PtUj\n", "XJgNYC7bKOIR2gIwipWkEcckjg4VZsudcx3CztMENdi4sDvJPKeLu5XGE1zP0IETqMc4NvMIazmZ\n", "FJ6wqdP37OR6lpGAMIFu1CeOleQzlIVQtQlaT/R5mQp4LpFkBdMjs4BBZlld41gDV69X0Bbn3Pby\n", "xtfA9c4H3mtJAuPoGlUwF+EYygJ+0ef8+c65fdYPyMdHRMYA11yERmAq02AadLIzlEBt1RjnXHiD\n", "6fKueRQ6hzs52phkYKP9+SVqeFGMpg/eQ9kV+Ty0MOxR+/mfBB0ep6C53etRsXkvanByHmoyEkYR\n", "WvJWhOrTZ4FPvAiUpTIuTqZ0R2mPvsA0tI7sd9E+XBhvEIjuTXXO9Ys0xhZ2zkLr28JTnb9Da8om\n", "HMqRMg9fmB1giEg9YAOQdAl96FtqjUdrtF5nGgnE8TCXspat/FPXQLYALcLrr0xkjAWuFIRjaU1/\n", "upJB04CNvsOxhA18zULmBLpqkE3wO70VXQF6riZWKqw27gLgWtQFtUxUrQVpNKSuXTyHdZQqj4jq\n", "fGaf9zfAubbrQ2ByZUSViNRGc7OvgzJduRegD9oX91dakI/PoYKIvA+c147apBLPj+RShOM80uhO\n", "Xe5mdUCYvchGRrMBYJpzrm/IOTqjBl0tAGpSmHnnA5hjmQiXkc5N5sn2CL8wTlMgKzVBs0jZXCC1\n", "J/W4lmZ0NTPsBexiDBuYwU5QcXZ0TUXObHIzCH2G/Sbs7Uno4vmEfRGlEpHxwNm30ILfBXp8R+YN\n", "Mnlcq3c+ds4Nrul78fHxEJEMNAsv6RZU2FQUY3doCp3ZEuYB3auzIGytP0aiJj1ejvZW1POjybPA\n", "1bbzNbQQqxjN9b2CoPvi92j6YnhjI6/GzLMp6oN+yT2//IXATQQbWpfD18B5nsuhiHwN9L0fNQAJ\n", "pQMaFl+C1pNVhiXgFa+UWWyLhIjUJ6Tf9aHqvhgNX5gdYHjRsgyacguR/716jPEsYyO/52T60pk7\n", "+Z+X1tjZOVfGccPEygPAHdgzqSF1STPhs40ctpLjDXdoSvHd+yNCJCJJwCwIFp2lk8IAjqYXHYmx\n", "R+gvbOVrFvIdSz2TkveBoaETDPuczwFXhV1mLHB1eZ9HRNLQKH0vgHok0saeC6vYzM5g7d13wOD9\n", "VUjv43MwY5OiP6PzjNrljT2PNG6lJReygE26JnSBc+59O08TtD7+iAwSWUo+NZnKGAsBI5AEhKEh\n", "dvkLyeMPLGG3VmscXZGNv93vw8ContTjCdpHTOn7E8s9cfaw9RHaKywdaDy2qCRAbWKIRcinmJBl\n", "5gXoM6xG04FEZCHQ+U260D4wNYzMcvL5rUYgFznnupQ72MdnLzH79/FA7EVoRCna/3QL0YiVRcqK\n", "0e/KxCjDq3s/vwde74xOfjyTgC9Rk5CKQujxaCTLm4Sko8Vtt0OZb14xKvBm27hb0UgaaI3YowTq\n", "3r5GTYKK7ff1iaC/q5sIRs7aASvZt8LscMcXZgcYIjIWGPFbTuIUjow4ZgrzeZPp9KYjl9GXO3jD\n", "S2eMKMxCzt0GXZjpRdlFI4eKjt8759bUxGepCLNPXYB9Zz0RVmLlqj3pwBX0D+wHWM4mnmaSl+74\n", "lHPuxpDzDQA+jSeWAZYpPom5FOqUZIBzbnKU+6iNPhN7NSCJi+jJMbQmzoxsiyjmJ1bzDjO83/N3\n", "aJ6zHznz8YmCiJyFZg8lARxPXQaRSmOrKd3MHiaQxSxbFEokhvYkMk+/Y9uAxl7vGxF5AripG0k8\n", "TQcuYzGrKeAh2nI6DSp1P5+zndtZSRtqM44u7KCYs/iZQhz/pROb1VaeY0imvqUdLiSPm1jOdk0/\n", "fMk5d2UlPncc6gaX9jKdAjb74cwjl+Es8T5rk72JYtmzfRYRei15pBNPIc5LpdwEnFST4swXZj4H\n", "MiY23saeR/3R9D+vT9k61Ojjq+Ahuejib42KMruXBNTArc0g9CEZ6uA2B3gdjYQVo6LKvqg5QN0/\n", "o3l93pe3DVGK+VE1eg4qymZCmWKWNahwM3E22Dn3sd3jzVjQMJlgPcqnaPpnTacy+gTx+4kc5Cxj\n", "oycWtgDl1n3ZP8K9rfbgJoJRqsXAE79CuPg2oFMCcVxMb3pYjcdMlvMW05nBMjJoRu+QdKX2NOF6\n", "BvA4H1NMyQ0i8p8Qm+pzAQZwNIM5HvCK4uaALhJFFGZo+mKvBiRxG+fSgFLGQcQRy/G0ox3pPMyH\n", "bCevlx0zumZ+DT4+hxYmyj4CYk+jPtfQjLYRJuuDachK8nmWDXxBtifKCtGVW0+UJaFZPoyiJYnE\n", "0p1kVlPAa2SWaiodjSIcr9nU4yIru/o369iD41iS6UJSqRX0leTzDlv4kK1epGwSmnpdGdKBtFTi\n", "AumLkTiSJFKJI4uiNDtmfdTB5WBCcBomylKIZTAN6UIiuRSzhHw+I4tMCokBWpHAGnY3AcaLyNE1\n", "WLOxAuj8AzsrFGYzCZToraiha/v4lItzbqKIdEdLsy77CpK+ijw0F13A/te+qmd3zu0WkUHAtxOg\n", "wXFoT7NLUBHUHY1GvQ48QUCAZWMBsWtRIVaZiJXntHErZUUZQCs0bfNW/fFazB/EOfcvEVkM3JYL\n", "/T4JO+4ZKi/MQmz636jkIYc1vl3+gcdsILTWK8IAfa828bzIFG/3c5Xt7+Wc2+6c+5tz7re2/W1f\n", "izIRqSciA0XkEtsGoilOXExvetOReGKJJ5bedORiq/2cwvwy52pPE3oSiIZXuiA3yn0FrLcvomcZ\n", "URZKA5K5kJ6B69qxPj4+IVj64jgg9lLSeYi2EUWZR1sSeYi2ATt7tCg9tG/H2UDKUSTRiTrsopjJ\n", "1lJoPnncz2qKyjGFLsJxH6uZTx4NiONkUriPNYy3RKAfyWUYi7mTldzJSoaxmKEsZBxbPFH2Etqc\n", "ucb7J7rgffcOt5KuAndi5SbDacKHHEVv6vFfMnmQtbzLVlqTyMU0ogRYy27PiKQr1uuohngR4G22\n", "VPj34bUsQN0pfXz2C865pVYj2gy4Ac1Y/NK2d2xfc+fcyH1tMmaNqXsDKxejiqgp6tZ4tL2+Frxu\n", "sCvR73lCH6AquYBz7c/zyhlzfvBlqCklzrmJzrn+qIX+ubZ1B3KmoQYjFfEJAUfGHFRr+lSAL8wO\n", "PF4H8payMdCMOZSpLGKZOTN+wXwvWjYd7c93wCEiR5sr0gb0e/yabROxYthmEVKRetCeGIS1bGMP\n", "ZTN8+ge9OYaH9HH7EDR98SNm8RGzmBx4LBHN+as70LUeiRxToVMrHEtr6ukk80jg2AoP8PE5/Pgz\n", "kHQ6DbiJ5gGTofIQhJtozmlqTZ9I0HAMLNvoKEsJ/JQscimhHbWJR5hAFlexhM/ZXkoQFFLCZ/be\n", "J2QRh9CJOgxhQUCUecwnj8lsZzLbPUt8jzHOuSurKMoygW1ZFLGAyC3OHI5/8Avbg5VfbwHrReQv\n", "1VjwuQVUlJ1NGlewiJEsYwn5JCAkIPxMHkvIZxjplADxwb+T66KeteqMB9b8wm7ujSKWPbt8c2Rc\n", "Q8C928dn/+Gc2+mce9o5N8Q5d5ptQ2xfhY6rNXgfi9Byt0uAb3OBn22zZkjfoH2ou2CLVa33182F\n", "YIL2I9t+xMwhhxBsNxCJT1BnS+MR51zExpA+pfFTGQ8wnHM7ReRWYPTrTGMmyznO7PJnsyogyowt\n", "qNnFg5Vpcro/MefFMcBwb18bGpdyWlzFZgAe4gNOIoNL6BOo66pxRb1yAAAgAElEQVSIljSkBWms\n", "Y1t94AS0cHUyMLaQ4qssfdFjLPBZlFMd4d1bZa4dRyytacTP2lagJRC1l5uPz+GG9Q26FOCaEOfX\n", "Sh2LcA3N+IJsgMtE5LZIk6SPTFQNpylryOd5NjGfPG5nJanE0do8RlZTEGpNTxGO7yh9umRiGUgD\n", "kogljxLWs5sfyaUgYKJdgb1gBJxzRSLyAjBqDBsimn+MZSPvsRWATpbuuJhd9VCTJkclF9pE5FSg\n", "Xj1iuYImDGMxa6zdSALCeI4CYDDz+Ilc7qU177GVTAo9w5MBIlK/JjIm7HMPBaZMJKvOAvK4iEb0\n", "MNuAmezkHbZ4omwXYeZNPj6HI8653WiK3xsi0ozgMyfTObfBG1fdBJ2j0fq5D7AVnAi8H3y5sJKn\n", "/TvQNg+GDUJ7AoxE+6eBpn09QyBSBpp14PehrSS+MDsAcc49Y1/CR5exMSlMjOUBjwFvAiv3RXrN\n", "3mKi7CNgQDyxnEwn+tKlTGRsA9uZykK+YTHTWUo2u7ieAcQRy0yWU4LjCNKoFeV/0zSSPRv9NADn\n", "nBORq9EC31Djoc+q6jC5gSx+ZDWgUbJm0WvqfXx8glwGJB1PXdpUUGfkmfyEmvu0JZHjSGY2uUl2\n", "rqfReYVXf8Z6Ex7HU5eWJPA8m0gkhnRqmRgLLsq2IIHW1CaFWD5jO3tCojiXk87VNKN2WOJIPsU8\n", "z0avAfZ5Jn6mga2QwSrnXGEFv4cngatmsDP1TyznGpoGTEBmkcNYe6Y/TFtOs+eiZ04C/MVqZyuz\n", "unwFwDk0ZBN7WE0BKcSyg8hlYwnEcA4NeY1MEoklV8c1RutX9hrn3EwROQUY9wu7W5klfjhrUFE2\n", "syau6eOzv7Godi+0p7M3OcgCvgC+q66jtQmxDVHe3gbYrKTyXIM2U3wUuAitKQtlDTqhNDqLyBHO\n", "ubUV3GeJiIxAa0RHfQN1v4k8NAd4BO2z6zsNVhJfmB2gmDh7HQ1xhy5EvL4/Q+3VZAwwoC6J3MhA\n", "WgV6nJamGQ34Lb3pSQZPMZGFrONVppJBU96ynvbRnCmjYV/+yUQ3+ghnLaglfhHFxBHLp/zE+wTn\n", "DB8xi/PpwUCOoYhiVgfrI8rtxu3jcxjSH2BQOQsZS9nFM2xgunXlOYkURtKMDIscDSKN2Squ+qPC\n", "7GNgxzzyUhaHpQZ2pg6eff6FNKQH9cgyd8VU4mlLbQThTTYzwerSQEXZHwN+bKVJJJY/0gIHvEqm\n", "oC2E4glZyRaRZ4GHnHP5kc7hnFtnxf0TZrAzdQY7yzSY7kSdgCgDOJ0GdCSRJeTXAR4Gro/6SwyS\n", "DpQyGRGgG0n8TB6DmQfAbjM5SQsxJCkupw5sbzBx1h6tDRyBOmyDTuJeQHuX+ZEyn4MOK5u4FE0B\n", "PjrCkPuAuSIyGnithjOZvgHyp0HiMipfZ3YW0A9NKToRNfrwasreR0VZJuoKuUsziCaJSG9XQUN6\n", "M2d6QET+jaZb/h6t3QMVl2+g81U/fbGK+DVmBzCWB/2Mc+4q256pjigTkRgRGSAi40Rktm3jbN9e\n", "/T8gSlcROdW2a4HhMQjtacJ81rKF8m+5NY24kTOJJ5YZLOMVprKbQnrSgV7l+A5tC66M701PsTnA\n", "gp3k8xOr2UAW7zMTQehNR3rTEUF4n5mBKJr1NJsP/LgX1/XxORRpAAQs8cNZyi5GsIRpFtMpBqax\n", "gxEsYamJrpBjUwGcc3nAy6CNnpva+7PIQRCG0QSAJ1jHD+TQjWROoB7tSGQPjjfZzOMEF4CTieXq\n", "wPwhOlfTlGRNb24BpDcmnsZqSp0O3I1OYBJFpIuIvCMi+ba9IyJdnHMz0Mnbw1jNWVaEetkoXCci\n", "80RkmW1TReRaEakbNm6396I1tWlNbbIpZg0FxKGCbDeOo0niH7QtlVoakq65ubI3VVmcc0XOuQ+c\n", "c4Odc11sG2z7fFHmc9AhIq3RxfFngaMbAX9Ehc1j9tqWoI+2MbPtmBrBhNL/QFe+K0ssmjbUAhVg\n", "twLtbbvV9vVD+xZZ5X5n4P4q3FeOc+5Z51w/51wH2/o5554F8kWkcvUpPgF8YXaIIyJHo3nDn6K1\n", "mt1tG2L7Flp3+qqeN0VEbrRzz0dD+F9gzqglOH5kFR8xi7t4kyeZyC9WUxGJVjSit7n3J5HA5fQr\n", "08MslDVs8dIYs4Efqnr/HhZhGw3wDjOYjhoxnUQGl9OPy+nHSSYOp7OUd4OtH5/xQ/M+PlXjGTaQ\n", "TwmnUJ/JdGMy3TiF+uRTwpioGTyAtu1Z+zN57DBx8xabcTh+QypX0ZRi4DHWMoh5AYfFQczjMdZS\n", "AiTbP3eDSSuTvhiJRGI5W7OkOZ0GTOAoJnAUY8jwBFofdE72HXAh2kC7tr3+zsTZOqfNo5ugc6MZ\n", "ALUQFrOLzwkuSn/OdpaUMqPkSIJzqD7os3W9iNwVsqC2GmABu4hD+CftaE1tdlBMEZrKOZYMxtKR\n", "htbpyDMksYfXpF+hTYqPz0GFCazpQKdOqEPbWuDfaN3WLfZ6LepsZn2IOgHTa1KcYXOVZwm6LVaG\n", "NRDIFzgeqG/bqahjzxeoqcj/godcEWERqEqIyGXADmCHvfapJL4wO4QxUTYV6JhKMudxAndwHndw\n", "HudxAqlqDd8RmFEVcSYiPYFlwH+ATnVJJIOmZNCUuiF1JQnE05UWxBLLfNbyCB/yIT/wE6vJpWxv\n", "5n7WSaiIYrrTJqooA/g6WKP6Ug2kC7wIfLedPKZFcML0mMaiUBfMF/fymlERkTgR+YeIrLftH9ar\n", "yMfnQGc7aPPocEpwgfTFO2hJKvGkEs/t1l3nW3ZQggs9NpB76JzbBAwA1q639+eRx79Zj8NxLc14\n", "kDZkkEg2RQGHxWwTcY2I50QzoegapeFzJLy6MEHNSQTheOpyb9AbbQRQrw8pfGLCrQ8pAPWAe0Pu\n", "vwhtUdSzDjFcZlmRt7OSS1nEJSz06ssAOJZkHqAN79KVd+nKA7ThWH1e10XTpV4wcfYawEdspYAS\n", "WlGbN+nCW7a9Q1eOoW4gUlZACR+VXiDzezH6HLaISIKInCsiN9h2rjV/Dh1TB3WRbtoXXVn5PZAQ\n", "4XwJaO3JDAINmZsCE0Oco/cK59xs4I084EwqJ87m2thdaCrjj+hqdjaa3rgRArZnRwXvOxkzcaoO\n", "FiV7Bm3mnQSM9iNnlcef7B2i2D/abwH1jqE1V3Eq8SF/3a1pzOkcxVi+5CdWJwLjbIW3JNo57bw9\n", "0Z4fiW1ozBl04xhaE2sav5gSfmI1n/Ezq9jMUjZyHb/hB1bwHUv5xLL/4ojlVLpyPj2IsWOb0YA2\n", "NGYVm1lJJl3VMLEMy9nEDLye0qG9C6uHc65ARAYD4wso7AUEImehrwu0dmU62tOorLKsBia4BqMN\n", "q71ajHiwbtvK7fbnHTVxTR+ffchXwIUTyGKwdsOoMhOCmclfhe53zi0SkR5oY/prgMTXyGQuuQyl\n", "ESdQj2NJ5kO28jFZrAtm+fEHmvIDOdW6n0gcT10aE89mChNAhaaXgnk7LZmmtV1nhx3WEVR0XUsz\n", "EohhLBsJrZuLQ3iMtpysbQMCtKI2A0nlW3ZwOyvJp2QYsMI594CIzNpJ8fEvsJHraU4cQrsoxisv\n", "sJGdQWOQBagvgI/PYYWINETLrUZAmQfVVnNVfcw5txUVKJ06oY5mKZU4f4qN7Qks1sjZJcDzNXT7\n", "I4CmG+GU3sDVaL+z8KKPpWjK43OoY1wvYCaaPn6BjXkPdVMcQLD59B/Q1Xy0Z9lez698qo4fMTt0\n", "OQOLlIWLMo944riKU0MjZ6eXd0Kzwv4ISOxJB27lHI6jbUCUAcQSw3G05VbOoScdKKSYl5jCUHoF\n", "6sWSSKCIYibzcymTDSBgpx8pogYqyp5mEsVaH/GUc25ZxIFVxDm3DY3sXw9kOhzfsoRvWeI1gd1k\n", "751mY/cam2QuR5+PZ6O53Z0xUZZMbc7jBG/45TVxTR+ffcyrQN4sclhVOi2PGISTbFrzD35hG4Vs\n", "o5CHzEOnNymspsAz/sizc5XCObfJOXczWs7xCODmkcddrGYgP3Mm8xjDRtaxO5C6WIcYBpLqpR+y\n", "oHSfsnLxepp5x0ajqjnNgnAlTfmco3mcdtS2iNY/aVdGlIXSmxT+QVvvx1HWlPpOoOQlNvE060Nr\n", "xwIUUMLTrOclNnm7soDBzrnI9o0+PocoItIO+B5d4Gl4NCpORhJw82ho731vY68HuIvKiTKPFOCv\n", "wR+vq0Z/wojYovBZwOt5wL/QyVtfdJJwub3uaO/loapwCEFR9q5tF9i+D0POHyLwqreypvdYjP5K\n", "c227zn/WVB5fmB26jADoS+eIoswjnjj60LnUMeVwOdCoDY25nH6lBFk4scRwOf1oQ2NyKOB7lnER\n", "PYkjll3sZriatzGFBVFFWChr2MIrfM3jfMwuXQl/H2tCa6l/zW2rdhTYOVfgnBuNph8MwXqL2Otm\n", "zrnRNRgp6wFMAVqlk8JQenE3F3E3FzGUXqSTQi4FfMzsmricj89+wTm3A0uvG8MGb1EjwEiakUgM\n", "U8hmAD8zgJ+ZQjZ1iOEamvJssM7s1fKMjpxzec6529BF6QLQpsn1ieNIkvgLLfm3BZ1bkEAdYjnT\n", "6sXGs438KHbyoeRTzMcWvfOO9ZhFDpsJOuY/xC9ksodM9gSEJmWbJy8B+JFcz6aeOsSymUIKzDWx\n", "dyWmfieTwjHBtMZLnHOfoRH34pfYxFn8zBOs4zOy+IwsnmAdZ/FzqChbDxzvnFtV4cV8fA4hLFI2\n", "GWh7HJr+8iOazzvaXk8nYIPdFs3269YILRwNx6EF7j8QeXHmIgLq5hj0WVUj2FzlUrRk7AXUrZFX\n", "bZtm484BZqEP5P2dHuecexUrZ7PXPpXEF2aHLu0AOtOcYkp4l++5lVe5lVd5l++9iBMAXWjuvewb\n", "yaVRRJJE5GJsAegMupUryjxiieEMtHTtaxaSRALH0xaHOip2oCmFFLM8OGFgq6UbfcQsRjOJ0Uzi\n", "ft7lQd7nW5YEImVoQ/kmIvIwGs1aZ9smEXlYRCJ7YVcCp7zjnLvEOXcJWhvbQUQyRKRBRcdXhInH\n", "cUCdHrTnHoZwGkfRnFSak8ppHMU9DKEH7SkK/j35Dzafg4XHgbwvyA7UgHlkUIcX6EhfUohFaxv6\n", "ksLzZPAJWV5zaW8huEKsF9aZQE4hjj2U0IU6HElSmebWnWx/rvUpq4jn2EguxcQh5FKMs/9+YCf3\n", "WDehATQgHmEaOxjEPAYxj2laR+eARiIy2KutcM4tAabuooQ3Q4wQJ1kp3YVR2opE4qLg2N/buf9r\n", "v4dZOynmNTK5g1XcwSpeI9NLX9yBukm28kWZz2HK/2GibAqa3hf6lPCak00hIM6aA/yOsjVlDrgY\n", "6GHbxZQVZwnYF1QpNyOpOjjnZjvnrrL7PAcYbtsc0EmS12vpXPR5+x4qMi+017H2nkewiKMct7bK\n", "31+xHymrOn6N2aFLDMB7zGQLO0s1XZ1sJaMXcmL4MU1Qm9S/AIhIE7S+aRh4Fe2JHBMsfK+QY2hN\n", "XRLZSDYb2U5rGjODZWRHSCfawHZW2YRlKzkBkWZko4YbY5xzy6zWbQJmqe2ZjuSQnwaMAq4SkUFm\n", "WV1lTDwNQvuV/CbsvUlo7vWEalo/D8YiZcPoH1HkxhLDMPqzmi1s1ome34zV56DAObdURIYA418j\n", "M3Yju7mGZrS172gGdXic9oEG06sp4Fk2eKKsGBjinFsa7fwRrveViPQGRu+i5ORxbGFcsNcg69jN\n", "LoqpQyzX04wbWMYrZOJQS/xEStek51PMc2zkVW0wTRGOa1kaSGf0ImXHksxdtOa37OKPLCendBRO\n", "UBfqfsDXInKeuR8+BPT1IoO/pTFb7Xydqbw/QKfg2IDvv0XOPhORE9DspTbo3HAT8F/n3JRKX8DH\n", "5xDDTD1GgHZ/L89ysC7qbNbbfo7UXGMW8DYEkpzfRu3nTwgb1zL4Mnpzx73ErPTHez+b2Uj359EH\n", "gXcfz6D5he/ZPs+hI+QeQwvhQjMcffYjvjA7xBCRDODPqMEOS6JYUE9hPifTkXTqs5D1oW/dLCKP\n", "oul8k1GLZ5pQn01k04T6lYqWecQSQ1Pqk0O+1/8LgO3ksYyNxBNLe+tDFOK0uAQt7vfyh7YBP3ju\n", "ixYNmwCkdqEF53A8rW0FeTVb+IhZLGRdKjBBRI52zq2r9A3r+dugD7muoEYlqebOlkUuRZQMQOtl\n", "F4jI4GqsPl8J6kJZUTpoP7rwtjbbHk7weerjc0DjnJtohjpvf0F20hdkcxzJDCItYJKxmT1MYJtX\n", "UwZaizDUOTexGtebB/Qxd9mR6OJHQ6DWLkrkU7K4wAxC7qE197KaV8nkfbZyNmkB98X55PEx2wKp\n", "hlfTBIfwHlsCgiyNOC6gEVfQhHiEJ1lPDsWkEsflNKG/1Yh9RTavsIksivoBH4jIafZ7+bODx8ew\n", "gVfYFKEibO9wznnZVT4+PkEGYjVllckp7IXWnM3FcpAPLl4DHv4akudhk0HU2GMAQcV1LqVF2TwC\n", "xh+5dg6fXwFfmB1CiMhZaIpcEkBHmtGTDjSwScd28pjBMpawgUKK+TvvcSWnBCzim1KfjWQnopGi\n", "fwAt2pHOb+nNLnbzrxow8FptEbF5VodxCl1Jpjar2cK3LPaGPe2c+7qc09yIibIbGFhK3LShMTcw\n", "kKf41BNnNxB0NawQE2XTgSZp1OVUutKLDJKoDUAeBUxnKVNYwDZyuqJ9Sk6qojhrB9ApmEIalc7B\n", "Me3KG+fjc6BhIqQ7Wgt62Wxyk0JEWCjeJOBfVYmURbnmzwRr+RGR3wOv/4/NnGX9y84ijUbEM5oN\n", "zCOvVFphKF2pw9X2/RtBU9aby2NzEoizBKipZDOHXNKI4790pklIY+1LSec06nMFiz1xdibwsXPu\n", "XyKyGLhtFyX9vPGL2EUre85URIiTY7nN33x8fAIcAXASlNOIJ4jY2LkQ0sgiyPFo8fnb9vMQ2xfO\n", "L8GXWRHe3ic453aKyCvAdb9Da868GoyW6AQqnO1oyqbxX+dczdnY+lQJX5gdIpgo+wiI7U4bBnM8\n", "zShbDnUSHdnAdsYzizms4hk+AyCdFBKDk4ohwBHtSOdPDKIWcYEUw01kU0xJpaNmxZSwUVOUiCOW\n", "WfaIiyOGUzmS8+nBarbwJBMp1FXqFWgNWbTPGYelI5zD8VHTAAdzHAtZB5rS+NfKpBzauccDTVqS\n", "Rmsas5xNLGY99ahDHzrRhnTOoBsn04nRTGIpG5sA4y0y5+dS+/iEYEJrpIjcBlwG9CeY0pOFWuKX\n", "a/Sxl7wLPLCKgja3s5KHaEttYjiBerxEPRazi4lsYzOFlOBYxC42WJ+0u2kVOEkcElE0vWdlGJfR\n", "pJQo+3/27jvOrrJMHPj3nUlvJCQBEiCEEAKhCQSQqlRBqhRdBFzXBflhWXtDdC3rimvFsq4FXBvo\n", "qoiglCChdwRCSyMkISGk917f3x/n3Dt3JjOTSUgg5fl+Phfm3nvOmXMnk5PzvO/zPk9FPx29x86+\n", "X2QlfFhZEKScFby9zHD4GD5wo1lOa2O2058aUjVvaNMOIYSN9iRWaLzOLCn6EX26fH6YdQO+FRr9\n", "Bb1rs51g876AE15g6HGK5tEHtrDhc4qg7IXi6ShFEcrwBonAbBtQ/uP+B9Sf4iDne/M6C99r9dfL\n", "5U52o8f83bNgmL3cVqwXXYYT4ELH6KCd50x2nRFgoWVGmmRYQ8nmVo00ySLL7KKnB4y22hoD9PFR\n", "p1tomf/ziIeMqQRlz+CInHNr1ad3Ru/uOlfTF5tabpUVVumsg2VW9i73mdrsxo2dgf3rJJPNMVnj\n", "qvgPGWtXO7rAkfazmw861X+4sTJzdoYiMG6LlzB0jKl2Xc+N2OiG036pjccOYYtTBl7/XT42WFlq\n", "+iicpHFgNwKPtHTNyDmvSCmdgYcetKDXJUZ7t5283Y66qLevLgbo6HZz/c7MalA2VBd7tWHN14vl\n", "zNXxrZS4P0GvSmD2tpTSf+ML5ZqQynq8z+KSpy3u/pAF663M+KAFRhYzj4tw/XpPMoQAUyjSYbL1\n", "z5rlcluKKf0bNSrkQXmMpmvKav1JtYLGSEXf6ddNznleSulUDH+BoQcpyui/X0NJ/HGKNWX3N+w2\n", "CqdVrk/hjRFVGbcNn0DXYQatNyirSJLzvdmh9oRKUAZ3oMeedjJAH8+Z7MeGW2ZVpd+Zv3u2UVXH\n", "lqyxthr4ddLeo15UJ+mmkx+5w1f80b1eqARlFIU9Vm7QJ6+RZbd5ymf91jVus0z1UB9pYw+Rr6Fa\n", "lKCivXrtywIBU831A7d5xDiddXBCsQyNokhIW/2CYk1daz/HNdbWrru7bgOOH8I2IaXUJaV0uaKS\n", "9UP4qmKG6WPl1w/h6ZTS5eWC93XknEcr1vFPmGS5q012mme92yjvNsppnnW1ySYVVfdnwZ5tTCnc\n", "0I+juE48lFLaveb8FuFb8DkTPFgU+2nWgxa4siGx6ps552ZzQ0MI67gDs5/RtgjpEcoyaUUVsv+g\n", "lb+Z65qvvKEo/Hg9A86bRc55iuLa999YfL8ibeHN5eM9Gq0p+28cW+4T3kARmG3lyqbPl8BZhrUp\n", "KKvuKzmrcVb0t5WDRIPsbLlVfuFua2WnOMgXna+T9iaa6dfuW29Q8Wv3VVMgJ5WpN2tlo7xiopkS\n", "9rKzY+1b2a1fG057BuYssqx6zIrbPe1m/7DcKgP0MaChP+JncGWrP4uUzsUBleddy6SF9up93UW+\n", "7qJqcJbxa/cZ5RVHG6Jd8dfo1JRSy8Pmjf0VL8+wwC/d2+zPcY21funeSkXGl63bEymEbVpKaaAi\n", "i+ineFMv7VxoJx+zm4/ZzYV20qtI+nhTuc2T5T7rKIOz/RRFyh5aaq0XLfOiZZYWf/8eVAyIf35D\n", "znHvclbt3jJduzn3KAafD9HNoCLgG4rhTVpv/Cd+ucxaHzPeZca6w1yTLDfJcneY6zJjfcx4y4rz\n", "/d9ynxBCG+ScVygHOP8NrS2gWoSPNDz9GcaMUdSjb0twNl9RWKNcNT/GGziznXOel3P+sKK45Acx\n", "XHFdfbL8+oOKPq0fjpmyLUOkMm793oOu++ivXzNrytanv16G6Gdc0ddnEg1DxY8bb6mV9rRTdSbu\n", "XY72a/d51ItmWOAUBznYwOpar9XWGGmSuzxXDcpakvGSGVZovPwrpdSeciqPiTnnaifXnPPqlNJ1\n", "+Mwt/lEt/rHcKsPL8a3/52SHlqmWT5rgZ0Vq91UppR+0MsL8lcoX3XXyWef4gv9rdsMT7O8eL7jZ\n", "E650rl66mWUh7EQrd2iNP8O7cM/jxneZZJa32q9a6GO0qe4zqhKULVVUqtuYsvwhbJXKAOth9Buo\n", "k8v0c6KeOjQZS/yIXY0wz3Wmm2T5vhqK8UxqeszyxuwG3JBS6q9IcYYZOedXy+97FkzTton78/Tx\n", "oAV+Y7qT9NSvSbejaVb4bVl2/5/t7E26ucxYEywfqhiE/3B5bmtTSpcqUpY/M9Li7iObL5SyCN/E\n", "f74RI/AhbOW+jXc+yaATFCXxa3uZZcVM2UcUUYui7sc3FOveH76ffkcqFm9dYN3eZisU6YtfUw3K\n", "puHtlYrSb6RyZv5/ykfYgqW4tm/dUkp/wvnv9VZH26fN+1XS9eokDxnr1+6juKb8Cb/f005gopku\n", "daIjDEaRLvjv/s9MDWv1u+usX7nGYpr5FtWUxYcO2jnWvmqP+YhxtamGFR9S3Cz9PzU3TYrR8G/k\n", "nJeVn3k3RZbBjvvZzVmGWWGVa9xmgD6ucl6jg37NjaYU68WmUW2gNk1xk3Y99sXjnbW3zCrddfIf\n", "LvQDt5tgRnWmbJU1BtvFR7zd59xgqRWu9A7XursSmO2zIVXlUkpHKNYG7tHCJi8rgrLoYRa2GWU/\n", "odOUVdIUaz/uKAOnSg+eJ7Hvobr5rsG6Nek11tRia3zCeE8VwcwYDNuYm6FyFmsqOv/Z/gasJ6Vx\n", "jewDxlUrM56td3WQao21bjHHHKsdqpv/MUS9ZLxlLixSlBcrRqobDd6nlLorZu8u0tBCabVisGo1\n", "PpBzjobzIWyElNJeilZAgyim248u33tYNX2RIih7W875pXK/gbhdcb+gj+IvaKXc/GTFDUVNV+bR\n", "OL25QaIQWhOB2VYupTQCJ37M6YYWLcdaNcUct3jC88U6WAfY3QEGuMGDcLditn4qduiio6VW+KZL\n", "7FCzEP4JL7nWCEkRlC1sEoj10Nkiy2QcZID3O1mHJpOzK6zyN09Vm10rBqseVQxg6VmW+K9pRP2k\n", "4tr39vL5IzhU2fi6LPSxvsCsOYsUxYiOPMmBXjDFdPN118la2ZKyRDYMtovLnWwHXfzJo/7uWccZ\n", "6hFjrS7Si3qVTWTbrKwEeaai0mSlJP5LipSLv8VMWdhWpJT64FOK3/U+Td6erfid/zbOw08H6uSX\n", "9l1vUFax2Br/YkxlrdjlOeefr2+fFs7zOvzrxXby8Wrs2LJFVvuklypB4ToO1c137KV7zTXwcmMr\n", "238w59zqCHZKqV6RQdW1fGkxekYV2BA2znquRbMU16Lv5JxnN9mviyId+kOKmK45I/FjXL8lzJSF\n", "rU8EZlu5DQnMppjjW25eJ3WwvfpKAY67c84npZSuwUfrJGvldQIzuMU/3FoWDOmsgwFlL+jJ5lRn\n", "wgbZ2Wed0+o53ehRd5YFQqCXrt7nBEPK5WbjTPMLd5uv2evbIkXF2n9Rk5Z7uZOrVSMrqYx1kksc\n", "V21m/bLZ7jPKeNOrB3u/k+yutx+70/QyI3FnO/hnb9HXDnroXF3D9w8v+bkRdrWjqUV7kuE559Na\n", "/bAhbKeajlIP0dlBZTGhZy02rmFwZwJWYt+v2bPN5eMrbjfHF02iuDk6dGPS/VJKw/CPzupcZx9D\n", "2lCdcaoV3uF5GSeU2QP3mK8ONznArk2Snm4zx78X57ne60YEZiFsHuXs/akaT3wNr8zet7JfUvSp\n", "PlnjKrF34dFIMw6vRawx2/rNK/6zZH3bucUTVljtEANd5BJKlmQAACAASURBVDhwgwc8Xdwg0NAA\n", "8Rs4b628O4z1ajWVseJsh+mnl+FGmmKOscUatar26n3cGes9pzMN84Ax1WDufU6wTzV7p2iS/T4n\n", "+J5btVPnK/5JveR6D3rO5O7YDe0q6ZJ3e97P3GWAPrJcnSk7y2GOaSgyYmc9HWGw5032I8PlMrVz\n", "Zz39uwvMqAZmPVvt2TarIaXzx+v9sCFsh8rR6TsxaKguPm13B+paHeTIsucs8S1TjLZ0EOyg3olN\n", "StBn2ahygGY/XZotdHSSXr7jFfOtPlhx4/TIhp5vzvnJlNINy6y96CPG+4HB6w3O/mxWNSj7Vjnx\n", "/Wkvucd8D1jgwjKNu6ImRbLpaH1z57MmpfQBDdeYD0ZQFsJrVwZgbW1zU7tfZTnaBl9fQlifqMq4\n", "9bsXHvViqxutlavpixc5Tg+d9dDZRY6t3ew+yDlPV4wiLYK7PV8NXGodbi9XOc+V3qF7eaPRSXtw\n", "nKHrpC82p6P2jiq7atSrq86U1dpHfz11tdpaa6zRSzcXN5z3iTBEP+9ylHMcrp16k802xRwdtHOO\n", "w73dwc1+/wMMcGA5WFap8livTn876m/HFoOyyrYri9nHF3Drej9sCNunTymDsp8Y4iDdGgVVSXKQ\n", "bn5iiKFlANRfx0aFPrLsShO91xjvNcaVJjZ7TeqgrnaW7eTXcM6X4p7ZVrnUWN81xctFimQjL1vu\n", "u6a4YT2Fjl6rck1ZT8VMWawvCyGEbVQEZlu/32DJWK+a5jVXOq3+g1+Wlz4YKyea6UaPNXsjBP8w\n", "waLypmXnsjnqnk1GiFuzIdu2JklOd4hzy5aP/fXyLe9xukNabSNwhkPAw8ZWAq1WrbTaQ8ZWns7B\n", "WTGCHcK6ylShS+HTdte1lfViXdX7VLmma5LlVta0kRhlqbvM007STnKXedXZs6Z20aHy5YblQdbI\n", "OS/H6bh+mbVuMNP5XvB+Y/27if7dRO831vlecIOZVsmSIn3x016qzpbVa7759OSGIG/2Om+2fE5r\n", "4joTQgjbtgjMtnI55wX4LcW6r5aCpzrJAeVNzw0esNBSCy2tFP2ASeWxao89Aedizd8967/c7DEv\n", "WmCpBZZ6zIv+y83VJtIdtbej7hv9WdZYWynb38hYr5pviXbq1Kszz2LXN5z38/Ci6dV0yEpq5tsd\n", "Up3Ba81AO+mjuyVW1DbabtGtnrK0KAqyDIfnnCe24eOFsD06DX2G6OzA6hKplh2kqyE6W2atR2oq\n", "v74Rcs7Lc86X4DBFMYBlT1vsNnPdZq6ny2IfvbXzG/v6vAHqFcFZJSj7nAG1gWLVXxrisZtflw8T\n", "QghhqxBrzLYN38UlT5nY9UaPVXuONXW2w431qqdNql1XVvHR5g6cc74tpXQ2fjvRzF7N9SbrpJ3l\n", "Vuurh97lgv6JZq6zLq0ltcf8hXv8a03xj7Fe9b9FtqbV1rrK75vufigWrLBqh7s97wyHWliOpO+x\n", "/uUbVac7xK/d73YjZZzh0HVSMVda7VZPucNIWItzIygLoVW7Y530xZZU0hrHWWZ6TTuN/XRxsl7u\n", "KrMCTtbLfi2s+6rZb26zG2ygnPOTuCyl9GkcS1npqOgxeN0cq7u1V+dcfR1lh2qz6eP1bDYoG29Z\n", "pSLjYuWgWgghhEAEZtuEnPO4lNI78de/e7Z+jkXOcpj+TRpO7663TzvHHz1irFeru+PDOecWF8CW\n", "wdnuirYdlyoqq7VHd9SvqZmle7O93eU5jxjnHQ7XcT0zVius8oii9dduenvFHN/1t+bK5auXZNSp\n", "s4/+dtXLo1600LId4K/+gYYebRtir7JaI9xhpPuNdox9DNQXxZqyh4ytzJStwaU55+Eb/I1CCG1S\n", "e11Jkqvt6T1le8OWin+stNYdDfHYXZvyfHLO8/DX2tdSSm/FBz9vgmvtYxcd1in0UWuh1T5vQuXp\n", "r5r2MAshhLB9i8BsG5Fzvj2ldBb++JSJXZ8y0RD9HGmIXmWQM88SjxpXmy64WNHA+PY2HH8Jfl4+\n", "QErpQPx4lTXHUlQo3MkO9rSTiWb6m6ec782tHvdvnqz2H/u0s91hpAeMrgZklf5k3XXyeefZsZyR\n", "qzje/r7hLxaWfdNu8Y/qDdvLZtu5mfUdzZnckFr0LFYuteKwv9eU8a/xBK7KOf+9TQcOYfs2haIk\n", "fpbXO2uWZc+WKYIzmjSgT5L915MOOcI884t1oiMVfRE3ty/ghAmWD73MWF83yGCdm91wvGU+b4IJ\n", "xfqyUfji63B+IYQQtiLRx2wbk1Iago/jPbR4F1NJofleznlcC8dJimbPJ2ncp2MEHqnt05FSOgjD\n", "scvFjrOTHr7vNmtlb3OQMw1bZ+asaDD9ZLWH2SecWS2Tv8Zas8v1JX/wiOdNcYEjneKgZj/MnZ5x\n", "o8co0gunUxxosF182tkt/Aga+5ZbKj3Nrsg5/zSldLiikWSlOdwrioaRT7TpgCGESvGPV9DnF/ap\n", "9i5ryTMWu7QsrLOHjn5laJsbTC+y2vuMfc0NpjdUmU0wHEMpGkq/Q59qSfzJlvuL2bUNqEfhtJzz\n", "lNfj/EIIIWw9IjDbRqWUeiiCs+M1DqzuxW9yzs2urC8721+CD2q5s/0zip46v610tk8pXYTr++np\n", "887zlIl+5V5rZZ11cJQh1eqLE830iHHVYh1vtV/Tsv1Vn3O9eZb4mgv11aPZbWZZ6AuN155NUARn\n", "nf7NaQ6o9o5s3nMm+5E7KNoD9M85L251hxBCm6WUvoHPVsrlt1SZcYk1rjDO6GKN6Bz0PlQ33zV4\n", "vcHZIqt90kuV4GcMhlWuTa+HlFIv/AfeS4vR52L8Cl8s0yJDCCGERiIwC1UppYG4naITc3edHG5w\n", "NX1wrsWeML5aGl9xA/T2nPOkcmR8NPY80ACXO9kEM/zFE5orGFLRQ2dfd5H2Ldx4bUhg1kNn3XTy\n", "alEgYBb6dtDO5U6u9ipr6jmT/cxdlTL5X8w5f62VH1EIYQOVDaYfU/Yy+5TdHdSkwfSzlvh20WCa\n", "YmDlAkVvwH4DdXKpXZykV6PeZhRrykaY5zrTKzNl03B0znnS6/YBa6SUuisGts7R0Dx6tqL64m9j\n", "TVkIIYTWRGC2nSgDp9OUVdIUaz/uyEXn+0pQ9jD67aKnMxzqEHuuEzCtssZTJrjN06YX1ceqN0Ip\n", "paF4CL120dNJDnCEvc20wGNeNMdicy0yyyJLrdBFR59xtn5NipTU+pE7PGdyNZVxrsVGlhUlDzbQ\n", "jrpVUxkPNMD7nODbbqkEZ2OUQeZgu3ir/Qwo75Umm+0+oyrpi/C/ioIe8RcihE0spbQX7lQUDjJE\n", "52pa47MWG2dZZdMJeFvO+aWmA0U9tXOaHauVDqdb6Q5zK2vKKAaGTn+jgrIQQgjhtYrAbBtXjlZ/\n", "SlFNsWn9+NmK/jz/rbhp2ndv/XzIqTo3U+a51jIr/bfhXiwKiVRTh8rg7G/KG7CO2utb9jabZZEV\n", "VoF26n3Bea0GZfCMl/3YcD10dpID3Owf1aqLdZJzHGaE5y20zIec6iB7mGqur/oTRerQ9/AxWm2w\n", "9idFEZT4yxDCZrKea9EsxbXoOznn2TX7dFGs9fyQllOrRypSq69/PdMXQwghhE0tArNtWNNR6t30\n", "tldZbvolM7xiTmXTWei7i54+5x3rDcoqllnpG/5SmTmrLrYvZ+fOV6xTO6bJbo8qeo91+Kp/srMd\n", "Wv0ea631Pbc2ajx9iIHQqBfbEP183BnqylSnb/trJWj8oKLQyUXlo3+5yyANDdYXo2fOeU2bPngI\n", "YaOV14dTqeYXT8bwyux9C/skHImTNV4zexcejUGVEEII24IIzLZRtes6BujjQscYZKdG6zommOn3\n", "HqqWir/Ysd5iv+oxsuxls8Ae+jZb6voxL/qFeyhGrQ9teoOUUupPGQ0yI+f8akrpOvzryQ70Tket\n", "97MstcLX3WSWhQ4x0BXeBn7iTk+bpK8ePu9cXXSs7vOoF/1vcV7Dc86nNTmneizQULUyArMQQggh\n", "hPCGqlv/JmEr9SllUPZJZ9rLzo0CqyTZy84+6czququZGgo1ZtnPjXC1v7jaX/zcCLmZxs2HGqRb\n", "URb6YMWIdiM551dzzk+Xj0pX6x/D/Uab0jBr16IuOjrB/i2+f4L9GwVlqJ2Ja5oypQzAPqAIyBbj\n", "gxGUhRBCCCGEN1IEZtugMlXoUrjQMTq1kprYSQcXOho8YpxVivjkZbM8aYJ6derVedKE6uxZrfbq\n", "HWFw5enJbTm/nPOTuGGl1X7o9jYFZ5VG0U+b5CfurM6W1UkOsWdbvm3Tc/gNeipmyn6zwQcIIYQQ\n", "QghhE2r3Rp9A2CxOQ5/d9Dao7B3WmkF2tpveXjHHKFO8qVzD1VY7NrTt2bG17Zq4FP0WWHrCN93s\n", "OEO91dBqAFYxw3z3Ge1Bo6uvVdaW1Ukucmzt96/Zb0Hly9nrvFmKWbIQQgghhLCliMBs27Q71klf\n", "bEklrfEVc8wtGrTaQ1/DDPKkCWCYQfbQd5OdYM55eUrpdFy70uqLR3jOCM8ZbBd9ygKKsy2qLWfv\n", "CIOdaZgXTEFDufzmPGhM5cubN9lJhxBCCCGEsJlEYBaalSTvd5K3OQgtF/9ANZhTVElrs5zzclyS\n", "UvqeYs3XReNN71wbjFVc5iSH2wvWW8lxqrmVioyLFRUZQwghhBBC2KJFYLZtmkJREj/L6501y7KX\n", "zECjtERJMnA9qZCrrPG48ZWnd23MyZZrzi5LKX0ax6J3+dYcnINLb/OU/eyma5MiH00tscK1RlSe\n", "/irnvGhjzimEEEIIIYTXUwRm26Y7MPsVc/pMMLPau6wlE8qeZp20t1+RBdlmT5lgseUU5fIf3dgT\n", "hpzzPPy19rWU0oM4+lXzhn7bLS5zkl1bWMo21VzXGuFV82AUvvhazieEEEIIIYTXSwRm26Cc84qy\n", "V9hnf+8hn3Rmi5UZl1vp9x4G9eqstkZ79W36PkutcJunK09/vDmavOac56WUTsXwV80b+lV/srd+\n", "jrVvNaVxhgUeNKaSvkgRlJ1WBnohhBBCCCFs8aLB9DZq3QbTRxtUUwykaDA9w+89XGkwvQrt99bP\n", "h5yqcysl9imCsh+7sxIMjcGwnPPSzfh5euE/8F5aqPhRrCn7Fb4YQVkIIYQQQtiaRGC2DUsp7YU7\n", "MQh207ua1vhSmb5YmoD34ffot4ueTneIQw1aZ/ZslTWeMsFtnjbdfJiGo3POk16HjySl1B2XKNae\n", "VZpHz1ZUX/xtrCkLIYQQQghbowjMtnHlzNmnFH3D+jR5exauw3dyzrNTSgNxO/aFbjo5wuBqQZC5\n", "Fnvc+MqaMhiN01+voCyEEEIIIYRtVQRm24mUUkecigHlS5MxPOe8osl2XXAxPoQ3tXC4kfgxrt+c\n", "6YshhBBCCCFsLyIwC81KKSUciZOplkGcqyiJ/+jmKPQRQgghhBDC9ioCsxBCCCGEsE1JKXXCW6g2\n", "ZJ2J+3POy1veK4Q3VgRmIYQQQghhm5BS2gMf0Pza+tm4Fj/JOb/8ep9bCOsTgVkIIYQQQtjqpZTO\n", "x2/RCQ7C/uV7z+O5hk2X45Kc842v7xmG0LoIzEIIIYQQwlatDMr+iHSeohz1kZTdW8l4FN/CTQ0v\n", "vTOCs7AlicAshBDCJhfrO0IIr5cyfXEMOn0JX9IQkDWV8WV8tXi6HPvknCdv9pMMoQ3avdEnEEII\n", "YduxvvUdKaVY3xFC2NSuQKfztB6UKd/7siKt8aYi5fEKfH5zn2AIbREzZiGEEDaJpus79tbZoOJL\n", "L1luvGWVTWN9Rwhhkyhn56egz8M4qo37PYxjii9nYfemfV1DeCNEYBZCCOE1q13fcYKe3mNnB+oq\n", "lWPXWfacJX5jhnvML16K9R0hhNcopfQ2DD8II7U+W1Yr402qBUFOzTnfuTnOL4QNEamM26BY2xFC\n", "eD2V6Yu/RXq/fi7XrxqQVbeRHKSbb+rqZ6b5uWkJ/5dSGhTrO0IIkFJqj17l03k551Vt2G0niuqL\n", "bQ3KlNseoBqY7dTatiG8Xure6BMIm05KaY+U0jcUU/rD8ZvyMRxTUkpXlzdQIYSwKV2BTifo2WxQ\n", "VitJLtfPCXpCPf77dTrHEMIWKBWOSyn9Dkswo3wsSSn9rnxvQ2KuELZakcq4jWi6tmM3O+pXDjq9\n", "ap6p5lY2jbUdIYRNpnZ9xy/s4yDd2rTfMxa71FhYg66xviOE7U9KaSfciGMrr/Uo/7+w8aYP4vyc\n", "88xmjhGpjGGbEYHZNqB2bcchBjrFmwyyU6O1HRPMdKdnjDSpeCnWdoQQ1qMtaUWVm6K9dXaDoa3O\n", "ltXKsncbXSkI8vGc8zWb6rxDCFu+Mih7CIN7Yhe8qBipoZhO3xvTKValMh7HNA3OovhH2JZEKuNW\n", "rnZtx5kO9f+cYi87N7o5SpK97OwKpzjDocVL/DGl9IlIDwgh1NqItKKdYJBObQ7KqFyXOlWe7r9p\n", "zj6EsDUoryE3YvAeWKxoQpYUTaErjaHHlO+VazAG48am9y3l+vlrKZpHt2W6IePbDU+vjaAsbCki\n", "MNv6XYFOhxjoTMPWu7bjLMMcbGDxlO/gWxGchRCojmDfXz4uRPuu6nQt/qloX752P+4vtw0hhI1x\n", "LI7tialYjX/DZDxSPiaXr60ut+nZsN8xzRzvJ1h+k6JHWWvBWaXB9E3F0+XlviFsESIw24qklNqn\n", "lHYqH+3L6fvL4BRvatNodZK8zUG1L30S790sJxxC2GrUpBUd2129gTqqwxJrLbFWHQbqqLt6ipuj\n", "h8p9ZsIEy+U2jVUXsuwl1UKxL2zCjxJC2PJ9kCJ9sRKU/QD9ajboV7724XKbXZrsW6tsWH8J8ldx\n", "viJVsfaKlMvXzsdXG166OKrChi1JrDHbwpWzWccqLkTnK0atYZXiJur43ezoC87foLUd/+HG2oIg\n", "o7F/jl+GELZL5XXmURyxi/ZmWWWNYo3HfrqCUZZUX+urvelWUSzIP0UU/wghtFG5dnUJ2tcr0ncm\n", "axyU1XpVkcqYVdefrVJcM5pb89qoENqBipL48LxqoQ+KmbKLc85/fm2fJoRNK/qYbWFSSnU4GSei\n", "C07QcF2p1R7HQz+9NnhtR3+9TDVXJ+0tt2oojlYEeiGE7c9xOKK7+mpQ9k/6ep9++pRjQbOt8r+m\n", "+T+zzLJKd/UWWXMsDlOs7/jcb8zwzZqm0i3Jst+aUXl6ewRlIWxXeqF9D0XlxSO1HJRBf8VF5lFF\n", "xcaFxf1PL+Vsfa2c840ppSfwAVz2HH2ea7zJLMX16icxUxa2RBGYbUFSSv1xC4Y1936dZA99wctm\n", "WVtO0s+xaKO/5256G2867CsCsxC2V1+BHbWzyBr/pK9PG9Bogz7a+7QBMv5glt7ltorZ/CvxsXvM\n", "7/Qz01rtZZZlPzPNPUWdtTX40Ob7WCGE7U0ZcF2ZUvoy3qqhefRM3BcDQWFLFoHZFqKcKbsFw3ro\n", "rF6deZZU3z/B/t7uEDvoAhZY6nZPu8cLJphpghkG2blN3yvLXjUPtC/Wi4QQtlNlWtFbYLIV6vG+\n", "Vsav32cXN5plsuq9zQWKdaqX4I8/Ny2Nt8wldnZQzexZlj1rid+aUQnKMt4Vo9YhbHfmYdXCMpXx\n", "H5im9VTGfyjSqMveZivLY7SqDMCiN1nYqkTxjy3HyRi2gy7e4y3mWaKuvKE5wf4udEw1KIMddHGh\n", "YxxfVpm+yeNt/kYTzDDVXN108oo5lZfHbKLPEULYuvRCXVd1smJNWZ/qUtZ19dXBfrpaS221xl5l\n", "X8R3Yvk95rvUWO822lUmuMoE7zbapcZWgrLluCDWd4Sw/SnXht1I0adsNa5uZfury232bnjpxubW\n", "l4WwLYjAbMtxIhxliMe8CNbK6iRvd0iLO73dweok40yzoGaGrSVZdqdnwUB9LSqqoo1WFCsKIYSN\n", "VgZn++AbmD3eMsPNM9y8SiPpWYr7rH0iKAthu/ZjiubR7fBDRWXGaTUbTCtf+1G5zfQm+4awLYrA\n", "bAuzVvaUidXne+jbaKasqZ66Vted3eSJVstVZ9lfPWmkSerVGeWVylvfjIqMIWy35mHVEmslRfXF\n", "2VoejJ5lpVGWVEvpa5JWlHOenHO+ErvhVLynfJyK3XPOn4/0xRC2ew/iwfnYVRF4/QgDcFT5GKAh\n", "KNuVYq692C/Ww4dtVgRmW4674RHjqkU9NtQjxvmJv3vJ9EYBWtEvaLqf+LtbPQXWWFv5Pt/Gr17r\n", "yYcQtk61aUUDdLQG/9to3Lqx/zXdmnLbUrNpRTnnFTnnO3POvy0fd8ai+xAClIPB52P8y+imqECW\n", "FdUXHy2/3rd87+Vit/E4PwaSw7Ys+phtIcriH4+rqciYFKXtv+HiFmfN5lviSjfINArGdrWj/nqB\n", "V82r7VlWMQrfwq/iIhfC9i2ldBzu767eUmuswbv09a9NyuX/wjR/MEs9uhTl8uG4nPODb9zZhxC2\n", "VmWT+hsV/VpRlMSnWuij4kFFULZOifwQtiURmG1BynL5f8WhFOXx18rV4h/N+Z2H3OsFB9jd86ZQ\n", "lJ+ehz5NNp2vWEd2b/n/hyMgCyFQbTB9P47diAbTb4lrSQhhY5XXn2MUrTcuoFp9aKUiaPsxHorr\n", "TNgeRGC2hSlnzu5SNJauOt7+Tm9SLv82T7vXC+okb7a3R4yD3+F9ondHCGEDlCPXD2Fwd/V6a2ey\n", "FcUqMkXe+wAdzbG6MlM2HsfECHYIYVMp23f0Kp/Oi+qLYXsTgdkWqJJW1El7/fQyyUxZ8w2m6yT/\n", "5Gh/82SlwmKkFYUQNkpzaUVlSfxKoY+KSCsKIYQQNrEIzLZAtWlFu+vtHQ73kLFGmlQtDFInOdhA\n", "R9vHzZ4wpehHFmlFIYTXJNKKQgghhDdGBGZbqMZpRZ0ca6hDDLTSatBBO0+b5EGjKzNlkVYUQtik\n", "Iq0ohBBCeP1EYLYFa5pWlNClLFG91IraovqRVhRCCCGEEMJWLAKzLVykFYUQQgghhLDti8BsKxJp\n", "RSGEEEIIIWybIjALIYQQQgghhDdYuzf6BMJrl1LaFZfjLPQuX56jaFb9s5zz1Dfq3EIIIYQQQgjr\n", "FzNmW7GU0u74Ls5FfQubrcFN+ETOecrrdW4hhBBCCCGEtovAbCuVUjoAw9G/TnKIPR1rXzvZAcy0\n", "wIPGeNrESu+zqTgt5/z8G3fWIYQQQgghhOZEYLYVKmfKHkX/vfVzqRP10rXZbedZ4lojjDcdXsWR\n", "MXMWQtgUIo06hBBC2HQiMNsKpZT+iAv21s9HvV379SwVXGW1a9xWCc7+lHN+5+txniGEbVOkUYcQ\n", "QgibXgRmW5lyhPrlOqn+6y5qcaasqXmW+LwbrJXXYEDO+dXNeqIhhG1SbRp1PU7Qyzv0MUBHMNkK\n", "fzHbPeZZU+wSadQhhBBCG0RVxq3P5ag/xJ5tDsqgl64ONtBTJtaXx/jyZjq/EMI2qpwpG47+h+rm\n", "a/a0kw6NtumvoyP1MNNKV5noaYt3xfCUUqRRhxA2mUilDtuimDHbyqSUnsIhH3W6/ey2QfuO8orv\n", "uw2eyjkP2xznFxqklOpxOk7EjuXLc3E3bss5r3mjzi2EjVFJoz5UNz+0t47qWt1+hbU+7EVPW0yk\n", "UYcQNoFIpQ7bsgjMtjIppZcx4D+9Wx/dN2jf2Ra6yu9hcs55j81xfoGUUm/FKN4VGNDCZpPxE8Wo\n", "3pzX69xC2FiVNOp66v/qwHVmyloy00pnec6a4kYp0qhDCButNpW6nSIyez/2Lt9/ET9XRGSri5ci\n", "lTpsVSKVMYRNKKX0JtyKXaGvHo60t166gbkWe9Q4sy0agK/jQyml03POz75hJx1C21yO+hP0anNQ\n", "Bjvp4Hg9jTA/0qhDCButNpX6LbhB+Q9tjYE4RRGNvRsPFJtEKnXYakRgtpmllBL21Dj/eWLe+KnK\n", "ORgw04INnjGbaWHly9kb+b1DK1JKB+F+9NjTTs4yzFC7qZMabXeGQ432ir960kQzd8UDKaXjIjgL\n", "W7iz4B36bPCO5+prhPmVY3x5k55VCGF78V1lUDYcnVrZcFfcibfhAfqX+0Yqddjitb5AIGy0lFLP\n", "lNLHMAYv4fHy8RJGp5Q+mlLquRGH/is8aMwG7/iA0Y2OETadMn3xNvQ42ECfdKb97b5OUDbJTL91\n", "v794wmpr7FjMpPXAbeUxQthS9Ua1+uKG2L1hnw2P6kII270ylfrcdoqZstaCsopO+J3qIrRzU0r9\n", "N9f5hbCpRGC2GaSUPqJo5vw9DOmmkwH6GKCPbsXlZB9cg1dTSv+2gYf/GdY8baJ5lrR5p3mWGGkS\n", "xTqPn23g9wzrdzl23dNOLnPiOr3lVlnjWiNc7S8eMtZks00xx9yiKALFAN8Vr/M5hxBCCFuDy1F/\n", "rnXTF1uzq2IdmiI+u3yTn1UIm1ikMm5iKaX/wmdgqF291X4Osof6MgZeY61nvew+o4w2tTN+kFLa\n", "Lef82bYcP+c8NaV001r5gmuN8DGnt6nB9LVGWCvDTbH4ftMqqy9eAWcZ1uyfx6/c6wkv6aidt9jP\n", "wQaCkSa53ygrimXKV6aUvhHVGsMWag4GTLZC/w2cNZtiReXLSKMOIWyMsygKfWyo9+NPDcf48qY6\n", "oRA2hwjMNqFypuwz9er8i+MdYfA629Src4g9HWJPjxvvl+61xtrPpJReyTn/sI3f6hM4erzp/a9x\n", "m8uc1GJPs3mWuNYI402nWA/78Y37dKEVp2NAXz0MbaaFwSQzq0HZp5xtQE0212C7OMJg33KLlVZ3\n", "xUcUM60hbGn+ikP+YrYj9digHW8yq/YYYSsWbUDCG6Q3DdUXN0TNPpFKHbZ4US5/EynXi72Kzpc6\n", "sdmgrDmPG+86d8MqDMs5P9fG71ctGVsnOdhAxxlqp/KGaaaFHjDaSJMqM2VRMnYzSSl9Dx87yzBn\n", "Wrc93K/d5yFjneIgFziy+nou/lwkyR894i7PwfM55wNfnzMPoe2iXP72LdqAhDdSpVXQRMp8k7ab\n", "iEHFl9EqKGzxYsZs03kvOg+1a5uDMjjCYA8Za4ypp5hotQAAIABJREFU7fFsSmkBRilSfsbjF80F\n", "Uznn51NKR+K7a+VznzKx/ikTm/sWlSaLH885v7LhHyu0wY6olsRvaori/qSSvjjVXDd7wguKyr37\n", "290h9qxs3m+znmnYbr3WCrGVNOo1XHCViX7UxgbTV5monEKJNOqtVNM2ILvp6Aw72rkMzqdb6VZz\n", "TLUy2oCEzWUOBrxowwOzFxu+jFTqsMWLwGwTKG94Pghvtd8G73+YQcaYWnm6A46qefvjKaUR+LuG\n", "Uq/X4qdlT453liPZ71fkT1em6mcr0oZ+nnOeajtW/nyOLZ8++Eb+PKaa65tuttyq6mvPeNlo2/Uf\n", "UdiMytn8f8EHMKTJ22NTSv+DX+Wc57fhcJ/A0U9b3P/DXvSf9mxx5mymla4y0dNFgZtIo95K1bYB\n", "OUBX/08/b9ZjnYqzl+nnMQv91DTPWxJtQMKm9lcc8nNFn7IN8fPGxwhhixapjJtASmkQXuqmk2+6\n", "pFrooy3mW+K/3GyuxTpq70h7269cpzTKKx71ohU1N/E1XsYsxYXm+znnBa/9k2xbUkp7KGYLD2ny\n", "1micl3Pe8J4DzX+fNqcyzrTAM152sIEuKmPF6z3gGS9XNo9UxrDJlOtev4HO0FM7u9TMcswvis7A\n", "Mny2Letca9Oo63G8ns7Vt1oSf4oVbjLLveZXZsoijXorVaYvPoNdT9DT1+zZaJb0BUv82SzjLAND\n", "dHaWPq43wz1F37qpeFOkNYbXqpJK3Y76SdpemXEq9iBSqcNWIwKzTSCldDgeH6CPq5y3Qft+z63G\n", "mGqgvj7sNN2L+6eqRZb5kTtMMktv3a202qLyH8Eaz+PYCM4alEHZaHSuk+yjaF8y1quVNXcU7VC+\n", "mnMem1LqhsPK1/+Rc17c9JitfK+zcEtfPXzVPzXTu2yWq92kg3prZGus9U2X2EEXsMBSn/HbyuYf\n", "zzlfs1EfOoQatRVij9DdO/V1nJ7alb+fq2UPmO+PZnncospu32xLhdiU0u6Khq3nqrYJWkekUW/l\n", "UkpX4usH6OqnhlSDspXW+opJhpvX7H6n6GWqFUZZClfmnL/xup102GallP6IC45TNI9eXy+z5aoN\n", "puFPOedoMB22eBGYrUdK6UBcrGGAZiqury3SsbGB2VRzfdWfdNTef7pwnaCsYpFlrvL76szZznbw\n", "rjLb8Q8eMcMC+FLO+asb/AG3USmlp3DIYLt4v5P0LKtWzrfEz9zlJTMqmy7Blfg8dilfm46zc85P\n", "rOd79MWluBAHoq6P7o4z1DH2afTnea0RnvBS9XkrgVm7qGoWXqtypuz77SRfNtBp1eJ5zbvDXF82\n", "yepi0OIjba0QG2nU266y+uIEDPihwY6yQ/W9q0ww3Dyd1TlfX8frCe41341mWWatYbp5skhjfRl7\n", "xXUtvFblgNCj6H+conl0SzNnU/Fu1aBsKo6MAaKwNYjArAUppeMUi5iPbWGTB3BVzvmBjU1l/INH\n", "jPCct9qvmtbWkhs86D6jwL85zQFlUaznTfZDd1DM8hzehs9Vp+YGKue8NqV0GC7Azop/iO8oj7dV\n", "/nKklHbDlHp1vu7d1aCsYr4lrnRD7cxZRtqpvPGYWQS607F3czNnKaV2+CY+RPMLbNqp81b7O9+b\n", "wdMm+oNHLChGkPXQ2Tscbqjd/N5DlVTGUTnn/V/bpw/bu9oKsV+z53qDsopfme6HxVrHjEfwmBaK\n", "D4VtXyUTYDcd/dn+1UyAFyzxXmN0Vufn9rGvLo0qzI6x1PuNtcxafbUzq0iXPTvnHOt7wmvWNJX6\n", "XEWp0ErJtRcVa8puIlKpQ5tsaS1AtvviHymlodi3fDom5zw6pfQu/BbtO5XrvgbaCUw002NetNyq\n", "4zAipXSxonfh2MWW7/Osl2sr7LVqVhEAVNeUtWY/u1UDs42RUuqnCCQuUwRgMKf8hezZZPOvYlxK\n", "6cs5599t9Dd94xwHQ/RbJyiDnrraR//aghuJoiH4BY70H24004JdMAz31e5bBmV/wjkJBxrgLfar\n", "9iYbb7o7jDTZbCM8Z5QplltlniWNzmGhZX7t/tqXMv7fa/7kIZQVYo/QvU1B2Swrfcmk2nTGhKPL\n", "R6X40D/H2oztzolwhh0bpWf/uexJd76+2kk+abyHLQRH6+EDdnWePq43U2/tK4HZiaLwQtgEaitS\n", "r+HcP1H/p+Y3jVTq0Ko2tAD5GCanlF7XFiDbbWCWUjoDn9NkRiyl9Cz2Q7sTHeAch+lUMylylCHO\n", "c4Sb/cPdnm+P6xWzK/+Da+4zqs2B2cb6g0ea+7rFf/RSSsNwO/pCJ+0lLLOqUjZbFx3sb3cw2lSL\n", "LR+CG1JK++Wcv7ipP8Nm9va2bniag80w3zNedp9RZltYHf1twTdxTlcdfcip9rKLLLvPaLd50oIm\n", "6/+mFQvgddHRKQ70prLQ7xhT3WdUJQ0VPpdzfrDNnzCEZtRWiH1n8de9VbOs9K/GmmalLuqcobc3\n", "l70QHzTfreZaJZ+k+Mfpe/harGXdbuyIakn8ikqhj8E6u9QYS6ytvnefBf5hkU+X9zgLrGl0rBAq\n", "Xkv7jqhIHV6rpi1A9sI/U94FFw0Zf40JRcD2urYA2S4Ds5TSJ/FtiiBlSNk6apxpllt1EAy2i39y\n", "dLP7d9Kh+l4ZnH0N5+Dq0aZ2ftz4NvUy61umzo3ySrXHVUtGqQ74zJ5hQZ8yfbHieXy/uf3KmbLb\n", "0bedequtsdwqO+rmBAcYb7pxpqlT552OsoMuVlnjQWP8wcPWyl9IKY3aWmbOylTNt1L8ec63pNlU\n", "xrGKwf/j7a+XriaZ6Yfu8ELDz3kVfpVSypimSGe/DR9KNArKfm6EJ02oHn83ve1VTkq+ZIZXzLHU\n", "Cg8b53CD9dXDrnZ0vP390r0eNx4+mFL6bs65WiYvhI2wJ4b01M5x60yEr+tLJplmpf11cY3BemkP\n", "Flvjx6Za1TBIUY9P4bSUUhQaep2VN6AnKgbXnsITOeclre+1ef3FbEusdbyePlcGYld72X0WuDna\n", "RYUWbMr2HWXg9eXyEUKb1LYAeTO+omjB0HQR0hcVfaq+hMeKAO51aQHS9rru24hypuzbCec43H+5\n", "xIec5kNO818udo7DJUVK2nMmt3qsYjatPbxFEWh/DrU3263qURaHeNSLzVVarFpkmUcbWiSeqfg9\n", "+Uf5+JLWKzJ+SDlTttoaPXXRUxdzLXabpx1liCH6WWy5e70A2qt3gv29qyEw/Uw5urU12BkDEtZY\n", "62fuMr8mjbBS/GOtbHe99SqDtoF28m9Oq03Zaa+osjtQ0VfuB4rG3x0OMMBeZZ2Qe42qBmU9dHaU\n", "IY4w2GEGebdjfMF5PuMcA/Qxy0Lfd5vFloN6df7F8cq1bXso/mxDeC16wy46VKsvtmS8ZR63SBd1\n", "jYIy+J0ZJlhuDx1932DfN9geRTn8A/DRzXj+oUZKaY+U0ii8ohjA/Q7uwcKU0vUppX2a2adbSun4\n", "8tF81/u2mQszrGz04pDy361ni8IePmeAPtrro70r7QGeKd/boaFg59zXcB5hG1EWJXoV38OQPji0\n", "fJTTXfvgGryaUvq3N+Ysw7asTF+8DT3Oxb04FU8q1vkcVj4uU4yAnVpuc26xew/cVh5js9nuAjNl\n", "8HS2w53ukEpghWIm7HSHOFtRQ+MOI1s9UCcdvNnelacX55x/gG+usdZ17vY9t3rKRGtqUj3WWOsp\n", "E33PrW7yOFhhlR+5o9ngrFIuv6zIeFfO+bGc81dzzoeXj682F5SlQp3i9wuc5whXu9jVLnaeI8Df\n", "POmMsvfWg8bUFsRwrH11KwrSHqyhlPxWoYN26iQvmeFKN7jGra5xqyvd4CUztFfvCm9rtM9AOzmo\n", "vLE4zCBfc6GvudDlTq6U2+9A0UR8mZXu8bw/eLi6/0LLPGKcP3vMd/zNV/zRvV7QXy+fdGY1OPu7\n", "hsGWenW1Tckv3Zw/kxBq3VLOapyhd6OgDB4oU2w/YXfH2MExdvCJapKHs17H09xulS0/xmFovaLl\n", "wRG6V0KdOlyEp1JKb6vZ5whF/YN7yseLZdXgjXE33Gpuo38Xzi9TZNc2v0+j9+Y09OC8eyPPIWwj\n", "yvYd30fnk/FnRSrKk+Xj7xrlI3bGD1JK170R5xq2aZdj1zcr+iUlxYX0CFyn4ffxOhxevpfKbYtS\n", "birps5vNdpXKWBb6OLaT9k50QIvbnWh/w4003nTTzbdLKylBe9qpUpRjV8g5f7Yc6ek8xlRjTNVN\n", "JzsqBi7nWlydMemgndMc7CFjTDLLVX7fWoPplxWL+lv7fAnn4SNUp7vaQU9dnOJN1RmhU7zJCM+b\n", "Y7HuOumig4WWWWx5dSavvXpD7Vop874vWi0fv4WYjokrrN6zh04WWm6tXFvow+56u8Lb9NF9nZ3f\n", "aj8jTTLVXH3LtTZ99TDMIB/zS8ustMgyn3O95eVNxw66OMRAPcry9wst9bRJppnv9x72F094nxNc\n", "6GjfdIuHjHGmYdqXt1hDGwr+HrzZfiphezGHonn0arnVWbMpVkB1TVnY4tyODgfr5mp76luu9Zpl\n", "pc+Z4JkiE6AL/lyuI56Km7HLgLLZ92QrdsEtKaVmK8y2pGwFcgBWvWJF+xM9o78O3mZH5+jtVL2q\n", "Pcyu9nJ1puzqorosNC2Xf9tr+UGErVs5U/aZ9vil4ma34lXF2p4Rze/6rymlY3BiFB8Kr1VZ7O4K\n", "ivTFTorfxd8pRgL6U82TG6D43ays4blBkS9bFjC4IqX0rc1VrXG7CsyU1ReH6NdopqypTjoYop9n\n", "TTbNvFYDsxa8jH3faqgxXjXDgmowRtGH7Hj7O9LeuujoGPv4pXuNLgtCNFN98S68t7ULUxmUXaMI\n", "yrZbOeecUvoRvrOw/Jn/uwu8WmbSDNavmr7YnEp1xUpZ+1rtygnmX7tPxt76OcH+DjZwnRYJ73K0\n", "kSa5xwteNM1P/N3FjrWb3l4xxyhTqoVAauyaUtor5/xS0zdCaKOJGDvf6n0eMN8Jem3UQY6zg1GW\n", "+q4p1de+0/B1VNfbzFJKAzG0ndQoKIO+OviGQc70XKW0RldFFeGrlUHZHxRdN97lhUpwtk6F2Ra+\n", "b7OtQBZbY5xlxpnqp151nj6O0sMjFrrPAvdpvOTiSD0sVF0u+5PoYbb9KteUfYPmg7KjFTdM3RQB\n", "2inle39X5O4uLtIbH00pHRnBWXiNTseAvRS/Z09oCMrqUHvj9ZLiwtq53OYTimblgzChWHpyus30\n", "b+H2mMq4SU00s/JlbXfo38Eiy33Fu/ynCx1jn3KjDt7tGCfYX5dyVHMHXZzm4NpgcZziD/x7OCDn\n", "fEobLkjn4SP1ZRGPa/yL73qvDmXsPd9Sf/eMtbK1sjs9Y4GleutukeWWWqmHzpXURbDKmtqZpjEb\n", "8/N5g/wQf6s82UEXhxvscINbDcrWp0P555NxtsN80pmGGdRs37p6dYYZ5JPOdLbDZNn1HqzORs6t\n", "WffWpGz/dVvRer6whSkrmv0P/LEsa96S3cvrz2NlqfNa77azvXTyshU+aryPGm9yMcM2WwuFhtoi\n", "pVSXUtoppXRKSumDKaVvpJS+mFJ6T0rp8PjdJ6XUXpHp5VDdGgVlFX11MKzxjP9h+APWV1W2te9b\n", "aQXy8USH4+zgGoPd4SA32d/77GKQTlbJ/s8sIy3SV3sda2Zl++ngywbqpM6oYnBrqqKtVNh+vVeZ\n", "vnhRkzf+WRGUHYGRigXi/1k+di5fKxZd2B2/el3ONmzLTqT4vavDT8sX+2MJ3qEYLHhVUc1vSfme\n", "ctu6ct/aY20O29uM2Riq1RdbnDVbbqVxpoF+rYw4L7fSYw1FOc5NKZ1VNtF8Bkaa5GWzDdTXxY6z\n", "2HLPeNk1bjNAHweUazaeN8XkhipWd+CsjajO9xE4z5ud7MDqiyc50O2eBn/2uLsVPRbnlzNCZzrU\n", "rZ5Esaastl/Ng8ZUZvpGKgqNbBVyzqtSSudhCnaebHabesWh+uewQ5mWWLHMSgvKYOpshznDoW06\n", "XpKc4VBZ9ldPVqtBVqyxtjpD2lE7K6x+q6LYyMPrHi1sL1JKB+JiqnmuU3F9zvm5Nuw+HB63yB3m\n", "ttjL7Gx93GCmW81xuX6N1pl1U+86+/qdGe4x33jLKuuGztyYiow1fRSv0FAeuznPpPT/2Tvv+CjK\n", "7Q8/bxot1FASkCZFmkgRxUYTFFAEEQFBL1bQn8L1XgtXbNeLWK8NbOgVKwoWBKRJDdiQKii9t1CS\n", "kAAhhLT398d5Z3Z2s5vspiCRefjMhy0zs5PsZOY97znn+1UvlhYV2BJiJNA22JXvIJbdZLCU1PBc\n", "YB+Z3MwfKJQVTFutPAXxEtC3EuG8RmNaU4FvSORZdpNE3tvRKTSnPD1kxBHFEGryNYn8IdfK40Dv\n", "M+X943L24bTv+D+f9/5AyhejkTKxvmDkx4RVwFfAdKTGPw26K6Vaaq034FLqUEpVAFPzDHv+JFXZ\n", "auCRxLdUJKzyxbfBaLTL7OYMx3trzf8Os7MSswA5pzJmWutNwI8ZZNkBij8Ws4EMsmhMbL5ljDNY\n", "RQZZVhYmDHhbKVUO+X7JRfNfZvIas/iAxVQjmiu4gAqUYS9JzGEtc1jrDMpWUoigzFz8LgfszJxF\n", "V1raWbAIwkklnVTSiSGaXrTlF7aylYNEU5YupvwlixyWsMEpbPFSMN4iZxNa6yzM97AsBGNuK0jq\n", "4GN3sJytZJNLE+LoHfyYyeY62tGYWFsIphoVyCGXj4jnCMeIIZrO5vePyAi7nGMopZorpcYYFb71\n", "wGjgVrOMBtYrpZYppa4qYFcDrQf/ZjfzAgjiNaYcl1CRdHJ5kO2kOAbZIMHZAGoQibKCsoVa618L\n", "8XO1RyarHgdiyhNGtOPWE4WiIxWpKvOEFyH+iWND/Zy/Akaw6QHr+RrSSPRRRQTpM1ttDMFvpgYv\n", "04gPaWb9DtlHpjMo61tQf5lSqibGCsQKysawixfYZwdlTSnHAGowgBq2MiNAFcKJI4qDZPIK+62g\n", "7ABQ4rLSLmc9DTHqi76KQZPM/39DzGA3IDWLc8xyARK8TQZu82zmCmSVMpRSFyilJgKJyNe8AUhU\n", "Sk30pyrrs21xKcyWKs61jBlIrfOsmUbHohstbQPpDDJZzAas98pThgwyvQymrfWMwTThhHEn3fiU\n", "ZRzh2HlI2YaV/SSLHDb7ZEnOoxrNOY/9JHHIYzD8PXBDcftYVaY8w+nOq8wi23QklCWSdE7bmTSQ\n", "zM1XxqzaGExbbz1bimev3weeXMeeiN0coQE18115N0dYxx7CUFwp7YgA5JLLLNYAEuiqAmTI/aFQ\n", "dDO+cQrFQVL5ml85wjGiiGA43SlDJPMl2drVa1ulYoE7wU7TrQEmaa0PhXwgLmcdgczuqxPBNVSj\n", "KeXZwElmk0w6uVcBi5RSQ7XWXwXY5S0APajKAlJ4gl3MJIkB1KATVWxBkGw0PajKb6SxgXT68ge9\n", "iaGjEQNZznHmyGdCEOJDAX4220cxCkUmmnRyiSOKQVRjLWmsIY0tnOJjmvEjx3iFfeRAqfJPLEZq\n", "AQ2jCac2UWzlFP9iJy9wfh7xjxzgAspR07zekgq8TmPuYDO5kAPcDPwK3KSUegPPZLDly/iJI/t5\n", "JxB1JZW5iGi+5ggLjLhHc8rzCHW5kAr2tU+j+Z2TvMQ+NpNONBF0owqLSQU4AbTTWtt1/i7nLDEg\n", "WQbfwaZlKNQDKV0E6d3o5VjHauJ5HFOfTRAGsS5nDUYxdjrerT6Y58OBW5VSN2qt5/vZ9hKMmJF5\n", "6ZBS6gatdVFE6I4Cdrd0G6SUoB7SU3Yf9nlmz45b71nT8Q4TrRKzAFGlLBFSLBRgMG2tlgOElyWS\n", "S2lCQzOo38URWykxnDDuohvtOZ/prGCuj7x+ecpwOU3tgGA3R/iZraQbNTQH+4BGJstT2J9pKdDp\n", "Zi7zKmUEWMh6vmI5ZYkkh1yyyNOHnU3e6+Y6oNSXFBkhkPujKctIegYMznZzxFgWZNCFFtziGCN/\n", "zFJ+ZguVKc/zDPHbUxYMOeTyLyZz3GGLEEM0w+lOA2qSi+YffGSdg7HAEeAJ4Cnyfj/ZwH+QwPnc\n", "+yP+i+C8FpUnzO4bWsMJTpo81YOcx63U4iQ5vEsCX0hfaxZwtdb6Bz/7TAGqLOIi5nKU19lnF6JV\n", "IYJYM5A/RCap5p0w8pU/L1B8KJ+f71lkXAVADVMumWius09Tn+9IZg1p3EUs91GHLznCS3Lr/A0Z\n", "4J8z57cJZBOiCedTmjGADXIjAvvcWM0JcoAyKL6iJbVNr6DFI+xgiQRI8Yjic6DG2pOIL9ozyGTP\n", "Ra/TmCupTE/WkUQ2zSnPuzSlgsePzGcHOYxgK5tJZxi1WEKqlanbgGTqXCGjcxilVC9gTjvy1tLe\n", "gARd3yKB2SokU2YFZnORwOxi5AJifKS+01rfUNLH7VJ0TDZsLSYoiwC6mPfiwVkcnY5c57c4to1G\n", "bD9iLUMq0zR0CAhJYdbnmPoAMxshQg5rkAukJf7hW1tZAbkvnkLOz7ZAEzDOtdxgWpeKnXMxY4bW\n", "+hWl1GZgdAZZV633NpL+AXgRqY8fl0HWVf6UEpsQRz860NgO5r3pSRuuo50tvgHQgUb0pQOzWcM8\n", "fkOB1aadWZSgzDAe6DSNXwHNFSbj8xObbb+0YXSmDQ1JI4MsstnEfpayib0kRSCB6LvIDOtmYNVf\n", "ZED0D+D8NDJ6vcgMWlOfzrSw1Rf3ksRSNrKOPWg0rajrNNbmICn8jFwv2vpRXwyFcMJoR0Pi2Ugs\n", "VbiRS7iQevY+w1BUpyL7ZSImDplR+g9AGxrQjoYArGEXv7E7wnoPOCfLvko7TrP7+6jNYGpS3gyA\n", "T5LDVI7wDgm8zn4aUJYrqcxDpjr+C45EAs8CnfP7jMHUpAyKcewlCkUq2XYwBlCfMtxMTa6jGofJ\n", "5D62kSLvr0FU/D4IpafDEu8w6qhePoojqcNt1ALgUw4zgQO8x0Gepj73so3pJDGC2vSjOu9xkFSy\n", "Lf/E0mDTUVwcAnalkdNwBxnEEcV+MslBegYtLqAcL9MoT1AG4jNmArMuABdTkQHUoJnpm91MOl+T\n", "yCpOVEAmfRphqjyaUZ50cuzyxUeoGzAoA6hAOI9Ql7vYwkySuY1ajBcxo5ZI6e0wrfXXRf2luJQu\n", "lFJRSAJsOEiWwXf210p9Wf5lq5CbtcWD5v8+gCOdsh2X0sI/MUHZlcBUPKVkCUi9/U/ytDzy1d/r\n", "2PZiTFBmjbxbANtkwjoohdkArABSd0CVaojsbBUg1RxoI/LK5Z9CSlDaIwIQJigrUQuQUh+YGV+C\n", "QUjvKEjqc2pB8rxa69nAbONtZtWtbdJaO9UHO5km/H8D/csSSSda0JEm1HH0/eWiWc0u+3lP2nCj\n", "pSXkQxQR9nsFGViHyDTg2xxyb/yK5XzFcq83u9GKtjREoWxlwCtpzuU0Yxq/soD14cAI4NsipoqL\n", "BaVUI+QPtTPYCiwpyB/ku8HOxBohkL7Aa7noEb+xO+I3dvtdtzX1uZceXsFXvCMgr+QjCFIYKprf\n", "fVsa0iavXL6TGOApBQynhx2UAVxKE9awi4ksAHhSKfW+W9ZYKvkXSFB2p11lJlQg3H7tbRL4mENc\n", "SWUA7qU2M0gindxOSqkL/QiCHAKqbCadS6lEL2J4kwMcI4exNKCe6TmtQgS1ibLL0zaTbgVlR4Er\n", "tNYZBIE//0Sl1M+IOnYtkEzZbdSyxYVuoxZfcISDZFKVCCoSTrIJGqsRyaVUtHyySot/YrHgtPsY\n", "y24yzdTdFFqw02Ta2xBtly/6o5njOvUmTezSVIvzKEN3qrKc4zzKDtLJHQoef5BfTHl9dSL4kWP8\n", "yDEqEk4LKtCO6Dyl3K2pQFPKsZVTRJlrZwXCOElueWCqUmpwPmW3Ln8xTFA2A+gZhoy6k5Ds2I2O\n", "9e5EIrdPkNT4V0hPWW/HOq0QBSSHwadrOH2WY1RlH8KYMEfiHZRhHn+JKIGYacLblFIPBRIEKWqG\n", "wJ8NiK+C1SnyyuWDBGUfAhlIIGAoUQuQUi3+YYKyaUh/6ECzTEYMNwNP8znQWm/SWn9rFn+S8BuR\n", "AUZ6BlmsZDtzWMvv7CWXXHLRTGcFR8zXXJ4yQSn2XUc7Wy4fCtC1Do6ymB6VqlQgDEUYiqbEMYLu\n", "DOQyv71RYSgG0NEqf4wAvjACJn8KSqmuSql5yMzYw0imubFZOpjXtiul5imlugSzT611ltb6AWQS\n", "xOo5phxRxFHFUcqa4KWamEsuv7DFd3clRi6aJM+s+NVAxEWOTJmTdjTkIhE4ikTucS6lCMvsvjxh\n", "DM6n93EQNalAGGtJY7fp+6xAONd5hA2H+tnsC4BvzGWlLGHcbD7jv+wjnRxaUJ46lEGh0GhWcpzR\n", "1lwgvBliUPY6IrPeCbmGRJjHk/LZ1CUwE4BZx8ixtTCrE8k1VOMaquUblDkpR1ieoMxJRyrxEo2s\n", "p2UB3ifBKiMliWwmcYhJHOINDjCCrQxkI1M5QpqjHF6huNBUSyabEtWaRHGPXFfDgI/MRJvLucFr\n", "QM8aSPnNs+bFt31WaoXc5NIQGf3pSE3txWZ5xrw2xKyDiA+5ioxnMQ6rj+cR+x864x2UWdTGU9qI\n", "xO/rlFJPmXLuVcChbUimrCV2KWOwCrPOY/KyAekDzDb7+x/SS9bKsX5lpJn/bmRG8HMkMLwFOZ85\n", "AxYgpT1jNgi4oQJluJ72AHzHatI5fQMSpBWpP0opNRS5rjSwXkvhJKvYwSp2UI4oIgn36hm6nKZE\n", "EcEpMvmN3aSYS0pVomlDA8qZm2oUEVxOUxbyO0BxyAkPBGrUozqPcaMdggUrVHETHdlCAvtIroE0\n", "jX9SDMcUEkqpkYhHkooknItpREeaUMXc9FM5yXK2sYodZJFzLXCNUurvWusJwexfa31QKXU3Ikff\n", "fAhXcgmNyUXzIUtYwXbeYA5NiaMVddnFEU47yr6O+zGdDpUT5lyp4KcE6TCpVn/ZAaAp4Dcos2jH\n", "+axjjzx0KW00A+kbKl9AqVg7KvIDx9jFKRorNOJbAAAgAElEQVSYbFdLKlg+Zf58INYBxJPKRk7S\n", "ggrcTRzbSGcpx7iPbTSnPJebQfvPHGeT59yeR2ilsf2BUZEoRlKHG0yJ8EySGM9++68nkSw+5bBd\n", "yvgJh0kii9pEkUI2J8ghhgiqEEEmufzqmaAoTf6JxYLD7mMkIlYVuZn0fIMsJ5vNdxkbRADXkUq0\n", "J5rVpIUBfGMUgqsTSVeqEGN6ApPJYgmp7CKDl9nH2xzgGRrSxUe1eI+ZPDiPMgwnjr1k8D0p5RF/\n", "xq5/kfJ4lwAopWoDw8OROq+LEb+PB5FG1c/x9jL7BEmxr0CyYrfhaUidjy2TD9KHH7L4kJ/jCwNz\n", "kYIkrXU+rbUuhWAkcH0McDvSwBoCjZB4/EnENuxG4NttHvGPoBRm/fAS0LcaMBORO74LKSvxRSGZ\n", "tEuRiYRc5Ib4b+yg7IxYgJT2wKwvwPW0p5sj5p0qMu/9KEJgppQagxELqk5FOtGc+tQAYA+JLGMT\n", "SfYwW6Tos8mhOpWYzA/8yjavQT2IT9WlNKEXbalGNA3M/oCgZqcL4H6ALrT08iILljAUXWnJJyyz\n", "9nVGAzMTlI0HKQW9htZUcJhdA8RShWbU4WY6Mp/1zOM3BYxXSmmt9ZvBfI4pFZoAvP05P1KHatSh\n", "GnfQlRpUYgHr2MpB28cOJLN2ikzWspuBXF4k8Y81puS1vue7B2AzB5iMreNQAwkeXVwKoo7ziSkj\n", "MnYd8He28zqNaUkFXqQRH3CQLznCJtKdwZhFYew6RoH0jw0xQRfAEGqhgdfYb782gQNMEeESW/zj\n", "HuJ4z/yt9aM6YSimk2j1wZUq/8TixPQcv2qa4J/5hsSgAzMrU3ptkDY79SjDajP8bUc0A6lJF4d6\n", "p8VD1CWeVL7kCGtI41F2MIb69CWG303b/Hqzn75UR6F4hHos5zjHyHH9Gc8N7gYi+iFBGYjQg8Xt\n", "5n8rOKuNnBDDkMDtHTyqeA62AN0KIz5kYbIwDyB2atZsQppSarH5yO/dSYOi4bT6+B9S3vQK0nuS\n", "QN6sWQKec+N3JOp6F5gBETkyBj0faI5YqACsDjUoc9qAzEQGmF863r8IbEWBnzEzmsgJkQUsBk8d\n", "iUyY9z4TFiClupSxpDCZsnEKxWCuYCyDuZY2NKMOzajDtbRhLIMZzBWOjJT8Tc9gJcvYxGmyaUoc\n", "PWlDT9rQlDhOk80yNvE837LPO0lWpFkb4xPUoTxl6EDhK0Y60JjyMst6iVLqjGVhlFJdkUwZt9GJ\n", "G7kkT1DmpAJluZFLuI1O1kvjgy1rNLwHTD9FJi8zkxVsR6O5gYttL7cwFF1owb+5mdcYRhxVOEY6\n", "gfrTguE3dnOcU8RRlSYO0ZjZrOE1ZnOE49ZLUZjr2ByHpYEvazyXjDWFPiiXP4vNIAp76XlVUm1O\n", "ksMakz1q6FAc3uDRj/JNi9wI1I4lghpEkkI2t7OZfvzONBIZRE0+pwV3EEsD76zt98CVoQRlTv/E\n", "G+xJaA99fV6LQpFIFokmU3YnsbYiY1Ui6Et1vuQIr9hixqXPP7EEeB/IXkqq8zsPyAZOspRUwpFA\n", "tyDiSWW6uRfdS20m0pTuVM0TlAFEoOhOVSbSlHupTS7wHHv4mEOmv0yRRDZxRNn9kFWIoL9nEsr1\n", "ZzzLUUpdqJR6QSn1qVleMH32wXILeKs4WM0AlyGD3aFAd6TeLRu50S1AZmGuB9+z9gOtdbMiBmXt\n", "kcq1MZigzJzd0Yg45Fxgs1LqlsJ+hgtgrD4qI4ItdZCMZxZSzuX8Ai3xj2xE6bAVYpvwDfALWFeM\n", "Xojq9FKzFEaJ8U4g6jokU2YFZe2RQGwtMov5tnn8M57yo//hJfTxGHDRmfJlLO0ZsxnAwO8cJaeO\n", "x9MLs0PTm/YswCAup6vH9NcLK8MEMIWfyDax1SkyuYDaDOYKatuaFUICR5nCz2whgfHMobXHQ/xA\n", "YY7VQQeAi6jvpQIZKlFE0Jr6LJdq3olKqdFa68VFPLZgGA2onrTx8g8riCtpRiLHrczZaLwn5wKi\n", "tc5RSg0BPj9FZr8PWMzXLKcVdfmJLYShGEEPL3GOzrRgCj+zhA20MyIqoaDRtql5Z1o4BBcOMJNV\n", "KBS9aWsbhP/EFuawlkOk8h2r6WNKdS3WsMsqY8zC7eUpdWitNymlfkwn98opHMkj/mExlSOcJJe2\n", "RNtljCfJYbZnYsdX+ONpgEOObL0G9pPJS+yz+4d82IdkyoqqDOuF9rRs5wLHMtFVQWwBjpv+JZCA\n", "7QLK8Tc2OxUjS7N/YrFhyq8n5sL9Dzqyn/7YwEkeZDu5QG+qUd2UIQYijRyeZhcaCcruDnAO+qJQ\n", "3E0cGs1EDvK2GXJloilLGC9wvldg15tqfCjfdVf/e3T5szGm9c/h46VoGK2U+gF43J89hw+x4L+2\n", "/mpgMKJ4tMgs1cEeBe0FU0gLyH3toWDbFAJhMmVLMZYRTlVAkHpyUyvdFDG2b6G1frIon+ni4Vuk\n", "R+wnROiji3k9HgnKyiEBupMOSA/YZUAOjFBKPVsEcbPBIDNCljN5e2AJGPMRD8p8Zrw5TjPbvRD4\n", "m9b6IGeQ0p4xmwrMTOc0U/mZqfxseYTNxDtjGQo9gQbVqUhnWhS4cmeaU93xFV9AbUbSK09QBlCb\n", "aoykFxdQm+OcsgIggM8KeawWVcGj+FcUHMqDFwMLlFLdirzTfFBKNQaujSSca2gd8vY9aE2E9Oj0\n", "DKXBXGt9ChiAlDZsPEY6P5m5vU40z6OY2NH0Dm7jYL5ZrEDMZg3bOURZIulIE/t1K1jrTVtu4GJi\n", "qEgMFbmBi+lltKhmsZq3+Z7lbGM523ib7y1FRoCxriJjqeUFgHdIYBIHOenInJ0kh0kc5B0zhBjm\n", "yLC+S4Jl+gwy24tSKlwpNR8p/aAS4QylJs/RkOdoyFBqUsnRy1adSAZ7MhmFsusw2ayfQXrKfJnp\n", "CR7DkGtUAnAsnVzS5PizQQb0yzlhBWXrgCHu4MiLfwBzU8jmTjbzCDtYznHb+mA5x3mEHdzBZktV\n", "kytMxio/ZpPMSXJpRzR3BbB9yY+7iaMt0faZWItIJtI0T+BYn7JUkKFGHaVULaVUrFJqjFLqa7OM\n", "UUqFfgAuxYJSaiASJ13pr9vVvGYZ298c6v4vMP/PQ+qeExC1oKZIILbGLEngzOHfF0pQpgx+3noA\n", "E5S9iMxA7TOPQZT4rLobs/ETbuas0BwCdh1DFDhBxBk2ItF6NhLlLMSTKdsIPiMtoQOSykSSR/dY\n", "ryulKiulRiqlflZK7TLLz+Y1fxe92iDnmjVImkDeoMxJRbOOoTuQoJQ6YDLIVwQ4z4qVUh2YGbnK\n", "/kjJ8pdmGQL0L4KU5VCQwXmgXq0sslnONiYwl3FMc3SawWCuIDKfZv5IwhlsqlpNlm2N1joklZkz\n", "wXnSnxCG8SEpQUYAXEyjfMsXAxFNWWf55ohQttVa52it38EjEJUF2OWMTraQYGdFZ7KKWax2ZgQC\n", "fwaaWay2M7kZZDGRBezmCGlk8IfJYFxh3748OLOH69jDhyzhQ5Y4M2VP4RG9cillGMuOhzUiid+L\n", "9fyD7fyD7fRmPW+TgEYMpq+kMifJ4RX2WQbTIAbks83jr5BqEO4gljm05h/UtZX8/kFd5tCaO8wA\n", "PIUsmhaD/QOmL3QCB5jMYdLIIY0cJnOYN00hQHuiqSjXxNqI6FUSMilSBrgE+JtZLgHaupkyb0zQ\n", "3Bd4Kweyl5DKA2yjO+vozjoeYBtLSEUhUvoA3/oJlL32ieZr04s2kJohVwCAZM4GGbXP6kQynVZ+\n", "s3lhKKff2lPI2HgccJNZxgH7lFJPnolBj4sHkyn7DFH3JQcZmPYxS0XzmiESmGy2CcQh8K6t7wdU\n", "Q5pFFyO1hH9HMlU7EeGPFeYgTssmRxF17YKOXSmlblJKLQUygUyl1FLzmjI9T/8HcuF5GBnQhJnH\n", "cUiNmpVJcQzWH3XPw9AxE3VvgjQafoucO3XxlOaNAaYA+5FzpEE++3PUPd+ilApTSj2DVJeNR5Jb\n", "DcxymXntgFLqGfO9e2GZnl0EdAziZ7kMT2ObSXfUBm4FfgSWlLTKbGkvZbSCsy8oogKjg9qQV5wB\n", "5Ga2hA3MZg1pfvQ6mhLnN1OW9wOq0ZQ4S2CiOKTyUwCvALGwWMqDEfkEl8VMZ8Ari2TxB/tsQYyh\n", "XEUrY67ry6U04Re22vsKFSMIsgmIrEg54hzfYQIpzGQla01vWRNi2c5hvmM1mzhAN1rRxo/xdA65\n", "/MZuFvMH2x36PwrYxAG2kEAUEeQE116YAvwXT4XIGmCSmykr/TjN7tPJveoHh7uKSKRXpQoRvMhe\n", "ZpPszJTlAndrrbOVUh0xFkF3EMv93nogNmUJs9/7kEO87xG4CcoTMAARQG4WOuw19nuJfQDcQk3+\n", "yXmcRvM9R/mKRDaTXh25P9+qtZ7KOeRTVlhMcPaAUmocMu55GKhUljDiiOJaqtGP6pQljF6sZxUn\n", "WM7xgIIhqznBLjKoTmQeZcVQ6EIVYoggiSx+5yTt8p2LBsxAuQtVuNp87iJSiSc1AviPWScUVVCX\n", "ojEOE5QpZJZvFJjwHk4g2YMnsL2kCjK2/wJ45l0k1QAysL0f+VJvRmaQuprPa4iMrJcgcn6GAu06\n", "HDYdo3ze6mSW8eZnK/Dkbo/HZLgacFRao841Y/viYgLQNRmu7w923t66q/0TPEYvBeAoh41DxOiG\n", "gpw794Hd3LEaEetYIpnRp4BGSqm/GcXNBKCGlfm4HIKagrLKGtchko5XIxMHE4FkOffXK6WGaa2/\n", "DvLHCYlSH5idKTSar/iFRab0rDZVOclpjpFOFBFkks35DlWygjifWlZgFlgPPXhWgmRVMskudJ9Z\n", "JtlWNobdEi/mIkIZJUlVwJbEdzKZHzhqVL4m8wPPewntOndgb1ugDJnpIbRSUZvzy6wuZxsfE0+u\n", "uSV1ojlDuNLOXm3nENs5RGXK05YGdinpCU6xhl1eNgpNiOM+rgGkJ3EF2y1p/CSg+k9s4QZbx0r4\n", "0aMUvkxr/VxBP5tL6cTH7P5G5AbUIoksPvdkx5wcQYIyq2LkKZDyxbuC6BO6izi+IZGDZFovFcq0\n", "VSnVHblfhXWiMmnksM78vV5ENIOoSTeqoFCURdGX6vQhhvEc4DMORwCfKaWStNaLCvP5Zwtm9vRe\n", "5IZtzeqkIBO172qtixL4emF6HcYqpZoBQx6jntPTDoBbqcX7HGQ0O3iRRn6Ds484DEBXP+qLoRCB\n", "ohtV+YpENpLuNzDLRbPfTGQq4EXOp5tj8qsXMSwmhUel1f5JpdT77qRTyWNEPa4KRzIbzyIZDScV\n", "Ha89jpQ15kAgY3sQzYQnp0PEKjzKjE8h4gszkEFue0TZAaQW21EyNIPgAvP+wKgopCzxDvPih0iz\n", "eaYEbL+BnHMJyMzmw2a9lxEVwAbgVavSGcn0cI4Z2xcXPlYf9x8TZUWQsWRhK/QqAkMrIuIgPXze\n", "PB8J+Bcg6fcTcv/cgfRbTwEuWmbW/Q2ZZAAJxjsgUXx+V0CF9AeMQwLLkcAX4rs2VSk1WGv9VSF/\n", "roCU6lLGEiIBRBLfyRI2sIg/iCCMu+hKJcpxjHTiqBpQICRIilxPZEohV6ZzmpVFmPxeyXZOyWDt\n", "KNK/1+MMiX+cEZRSf0OqJ/4wy07zGkiAdPIEpzhICgmkeAVlUURwI5egULShAS8wlMFcQRxVOUY6\n", "8WzkO1OyGM9GKyizzZju4xoqUIYKlDFqnoBMQg4FUV+cwUqSOUEyJ5jBSubKfQWMYqXLXxtjdv+c\n", "1rol0BoZc0xG+pF/Ribs+gF1rKBMKVUBJOLvQwxlg7iklyWMPp7B/EkKIZSkxIT+cyDiVmrxKo15\n", "jwtYTjuW0473uICrqZqnRC4MxYOcx1ApgfvTDe2LglKqq1JqHrAdGfN1ABqbpYN5bbtSal6IqrHB\n", "kAjYpuNO7iGOXlTjJLk8wDZGsIUFHGU/p9nPaSZziOVGATamAIGQYKhmJgKP41/Qcw8ZnDLX0c5U\n", "8QrKLLpRlc4yvx6JKKm5lDxDwVO+6Jt6cjKSPGWN/oztMeqJ/8sBeuOJbCyH36eQ2dPVSCD4LHZQ\n", "dhrJmA4IUhl2FMgF8kEkM1PZPH7Bs84wINlqOBiNlNXVRQRIQCLAn5FsWSz4cRd1CRWtdZbW+lXk\n", "OljbLFsgNPlox7rh4D8oc2KpOhoeUkpVQhK02ZYr+S9IgDUOeAQR+WiJ1F96alVkYPaLeeys04pB\n", "bshPydMw4KOSKGt0A7O8TAZYxiZ7UJ5FDrPNaXI7Xcggi80kEE1ZHqS3Xfq208xCBoNj3dAbq/zz\n", "FkA8G+zjDoVcU6Zp+IfWevAZCspSQMyjfRnKVVQjmmpEM5TAZe0pnm2PBlrHBGAfA/WqUJ4qEg/X\n", "Az42ae8sjAhLPBvs36PpteMSGlPecdkuRxRdacnTDOAh+jCAjvSiLb1o6/SnGw/oAuaj44EnNJo5\n", "rGUMXzCGL5jDWquH7Qmt9ZL8d+HyV8GIeFyHyPN2RAykDyKKafdrrWf4DFxiMTeuQGp9/mjhWfdX\n", "rXVmfusGYCBQoxnlGeUonVTmX0H8nfO4QDLMlqF9qUKJ7+Ii4NooFH2I4R2a8DUt+ZqWvEMT+hBD\n", "lPwurgUWm22Ki+kA35FMts/1PgzFMzTgHuIoRxirSeMxdtGPP+jHH7xWZBHg0JjjuCxfnU9l2dWe\n", "gO2MWbWc49h/uF3wlC/6oyIeRT3fbf3wA8jMwWVIFmMhMvAdhdSkdSBPlmK41vrpYIIyp03HHX7e\n", "d0T1VyDWWDRDVAETzNIA+BQYhD3I5nZznIZzzti+uNHCQZPlnwLmywgSp59dV/IPyix6YJ+nFZDE\n", "6FpMZWAcUlL7H7Pcb17bhEw81EXStSBB2TqgEnLxdqIQw2mjEFMe+KC4exLdwCwv84DdSZxgKRsB\n", "8YtKI4O6xNCWhnaQNpgrqEIF2tCAMkSwlYMkSJyRLwkcdRoYRyuliqOk9EsgcS9JTLM8ykPgG5Zb\n", "3mqJFF7RsjAsBZwKlTatqMvzDOF5hgTsLwP41bPtUn/vm/LFsQD9uZTnGcrzDKU/l1qrjDXrvA0S\n", "lP/OXgCqmttVQ9PknmffKJoSRw9a048O9KODU7QjDliokfLFk5zmJBlM4SdrKLVAa52ptR6HVHjM\n", "QILLo+ZxN/Oey1mGCaCGKKWmmmWIOYeKss+hSPZlFnLd72yWW8xr2806AUkjh1kk8wEH+YCDzCKZ\n", "tHx80sDbUDEE7gcYSI1CG9oP9PxN3V/IY/hTMAHWeEDdQSxzac3TNKADlWhAWRpQlg5U4mkaMJfW\n", "3C6CKwrxW3ygmA5jKbApiSwW+rnniOVHbebSmkeoS2sqUJsoon1u+ckU3SHhqMmUVfJTQp9KNtOK\n", "pY3apRQxEqSmNxeRQ++BSONXR7zKViKzSZ082+R7XQsFn2npt4CUzUhg9glSKrMNmZXtgfwh1UCC\n", "TyOZc84a25cg7wPZMwiuPnQlMgCy7iyhGCA61h0OVOyEpM32IJmxJ83ypnntK+Q8PIHUx76Jp9/x\n", "PvxnURXSTGfqTjojcxDFhhuY+WB6jp4AmGp8q1awHYBOtGA9e0klnViqcLEpny1HFJca8Yop/ERW\n", "PgOhLHKYIgrTlBNv2LLYyqBFOu5TyAAuewHr+Ypfgsqc5ZreuYVih5QF3FJQ420xMxFgFTs46acs\n", "pyDSyHCWb04MsFozoF4VKtCD1oShCEPRg9bOzFkzYx74bC7a7m0rBh4HMlawnYf4mIf4xDqfMvCU\n", "O6O1Xqy17qe1jjFLPzdTdnZiArBpSHZ9oFkmA9MKG5wppcYgGdsGdYhiJHV4hya8QxNGUoc6cq1o\n", "gPRlOVtB7Gv4hxyiF+v5N7t5hwTeIYF/s5terOd59nDI01PGRk+WOeT0iTKG9pUI55qC2zoDci3V\n", "LLVG29BeKdVNKTXFLCVq1VEYlFJdMaXFT1Cf+6lD5Xx6eisTwQPU4QnqWy+NL46yRqOANgHgRfay\n", "PYDwUzThDKImH3ABl1LJsimwWUJqnoxbKGSjWWwCwxY+Vfkazcvs5ZjcD3eBCH0EYpEnwAyl4sml\n", "8Nh/+/GQ7x3vBHlMQvNcN5RS3ZVSGzHCdyl4B0lhSBqjOZKx2IuM1g2hWN3YNh0f+nnf8dpPJlvT\n", "Azi5DJF+vRIJxDrjCcruwBhACq6xfTFjvoeJOcB15B+crTTr5OLJ4rYPvHoenGVT/0HO2wHgt2g7\n", "0rwXb9bNRYKyNUipyiP5fE4MXpLlocSOBeIGZn7QWk8GHtdopvATm8w1qAE12GRUxy6jqVfJTi/a\n", "UolybCGBCcwlwU9VXQJHmcBctpBAJcpxlSezEkyWNpjjXoRIemYv5HeeYxo/sZlMP7X/mWTzI5t5\n", "jmlWUJYN3HamG/G11tuB77PIYT6hm6ovYD3ZcuOfV3CTfVDXWi8J+hRzu9rlX4TBL7s9M8QHtNYr\n", "kQmZ+Rq0loOYD3Qy77mUPgYBN1QinIepy8PUtTzCbkCCtJAwWbBxYcCj1OVbWjGMWDpQiQ5UYhix\n", "fEsrHqWudcEep5QaqpSqgt2rDts4xSnjS3U7sdxOLO2I5hS5fEMSw9jEVtLJIJfvPImywngodgDo\n", "RJWgetoCUZYwOnn8ti4xgdgC5Pc7iDPgo1gIRgPqdmLpR/WgN+pHdWfmbHQxHct7wPQT5HAPW5jH\n", "Ub9BVjaaR9jJtyQRBtxMDb6kOQ0pSxJZxOcTLBVEPKkkk835lKWtGUat5DgPsZ0rWcv3EmzlINoL\n", "2fGk2oGck8WksFS6PLKASYU+IJdQmAySuTqB8b0IwASzjmPWyeu6oZS6HbmvNa+KiCRMMcs/8WTP\n", "0pHB7pMQpJ15QN4F+UN6DSmTPGYe/8uzTm2l1DDELqsJpsQy1Sxlkf6iHER5z4ySXGP7kuMfwFyr\n", "xLU/crFPNssC81pHpGyrF0GouflwDI/Ay3+Q8yxYFcYngWccz7+jYAXJ2zwPu4ZwmAUfjzsxEBgz\n", "YHoWY7fwOP35jB/YQyIPcT1NbR95YR/JjGeOrcbXlDhbqXEnh+3yxUqUYxS9Sec0rzILYKXW+pJi\n", "PO6rEdnaGgDliaI19W3z6OOks549pHtm0BORTNmfoo5mZpAXA+o2Onn5d+XHj2zmU5aBBDvdtNbx\n", "AfYfjoh+1OvPpfQwRtYLWG+Vfe4FzncqNCql+iFZEQUi/vEiQ736zPyRzmke5TMra9pMa73Fsc8o\n", "gEL29LicJSilpgIDH6Yug0053hSO8F/xpPtSaz0ohH2FI+WLDR6lrrO8z4vT5LKIFD7iEDsls5yJ\n", "9J7VD0MGPRdTkUepy/k+RvM7OMXL7GMVJ4ghwlbRA1ZorS8lRJRSjwHP/Y1ajOK8UDf3Yjz7+UT6\n", "bccg1jGDepnb8VyZ3JqqtR5cpA8pJpRSjYFtUSjm0jrfTJk/UsmmN+vJlOCpcXGoNTpEWPqBWCz0\n", "IYYGpnV5NxlMI5Fj5BAGvEQjWx5/Kkd4mX20I5qJPhONwaDRDGcra0njIc5jADX4mMO8a0zR/bAQ\n", "o6Lemcp2T9kiT1AG8JTW2pXLP0MopZYh5tG2XL4l9AF+5fJBVII7O/bRHQnK1GPIANdXzecU0kvw\n", "vPmc+ciJ8DZ2HfN8rbVvO0+gY+6OnPN5PY0MUeCoD/CMb5RSQ5Brja9i2zrgRTcoK1mUUpFI/DyC\n", "AKrwEebN15Cs5i9Ib00wjchWGWInJAsWapG9Np/5g9lXQTX2uYi6o1F5ex7xsoYiWhq5cvn5oLWe\n", "rJSagpwbHXaTyDFTAlTdjwRxXWJ4jBuZx28sZxtbOejsJaMMkXSkCT1pQzWineVytfPsrGjHvUgp\n", "VR+Zvf+/dDIv8dfDBfyKXBu/MqWQfwpa63il1N+B8Z+yjESO04PWRAfQRUkjgwWsZ55HtXBUoKDM\n", "7D9HKfUk8PE0fmWxZAhJNZ5twJO+svla6+lGMOQjIDyTbL5lBUO4MuAARqP5lhVWULbQGZSZfboB\n", "mYsvPTHliwMCeCdOJZH/cZBU78x3FNI2YQdl42lMlJ8MViPKMZ7GjGI7qzhhBWXg+kWFygiQEsxQ\n", "gzKAKkRwDdWYJdnKEcCjRT0grfUppdQApKrmgSSyWnyI/7HATdTw8ixrSFnCgTWk8QGHuDvEHMb/\n", "OMha0ggHXmE/r5hqEoVYMvQ1880zSGYSB8mVsfiHwG1LORax1EsHjSzkfHwWlzPJ44iITaQ2T17A\n", "I/QRj0NaWMgyqzl5AxOUBfJ0Ked473nEYHodRrFMCMqyQyk1CMnWRbRFMi+/41HQuwIZmPdEZKXf\n", "AtZIADdPKXWr1vpzpdQXiJK/bZsDrHLLF0seP36MtyCK92VikPPiHkTRCvPmL4gQSEGBmcaIBCDn\n", "QGHUOJTZ9gezr/8rYD8KUf8wfyOPOd66CXhGKfUfJAsb0rnlZsyCwGTOPqtLDMc5xTHSeZ4hVMtH\n", "x+gUmfzGbrsUrirRtKGB1VcGwFHSeIzPQUreijb1nP/xtwMuwdtjZ4XW+qyq5TeN8eMBFUk4F9OI\n", "S2li+5SlcJJf2cZKdljlixoJyt4Mcv9/Q27+9cxLe5Gg7JN8tmmBZLhvAlQnmnMjl+TJnKVzmm9Z\n", "wTI2gUj/dtZah67C4nLWY2ZdJ1cinOFmTuU9Ejgu5+SQUGZdlVKfA7eMpA7D7NuRoNG8yn6+MGW0\n", "TSnHAGrQggqcIJvn2cNeMy/8JS3yZMp82cEpBhlBI8O9WutAfZn5HfO9wDvXE8O/pZig0DzNLmZL\n", "Zuw+YCtS0WJFl7mcRZYdSqkVQId3aEKHAMbNBbGC4/yfTJIVKltZwPEpZLL4RjzZhGRkrFP2K1rQ\n", "0Jwj8aQyhp1W9g6AEcRxN3EFZs40mv9xkImOSUdlvyflbpNo5qUS+g4H+EACxhmI59udeNQXizS7\n", "7FI0lFIDkWAn0vI0c2Jl5JGgbKjTt0kp1QFYURVpOivI9yId6d1JAfog5WKIUGLDgiYuTaZsLhDx\n", "EFJ+aF0orLPY98zNRWY/XpGn2UDP0tG+Y/AAABbqSURBVO6b+FdDKTUZGPIJXqWBgJQm1kE8XeaT\n", "f8/PUmRCIQ4R9SisEUgWMkA8ZPbZKZ91x+JR9eyH9KuBWEM4PGhCrgJwA7MgUEqVAfYD1atTkSRO\n", "+C1lDJUtJJRIKWNpxpQ1jkYmvQKhge+R0oP4EPcftMG0z3Z9kUm4MpGEcylNbFn83STyK9usTNlp\n", "YJDWekbgvbmUZhziH76iPTOB/sGeU2Zf8UBnf4N9qzwyEsW/acA1xhcslWyGs8UqaaQd0bznZZMa\n", "mOFsYY0nUz9Xa9072GN1HHN7YFUlwplD60L3mWWQSy/Wc0L+btprrdeYnjKrp/q9syUoA1BKbQMa\n", "f01Lu1TQyc8c4zmj5jqGelzu6Z+z2U0GA8SWZLvWuknJHjEopeKAhGpEMJ+LAPiDkwxnC5lo+lOd\n", "hpTlNfaTC7Q1xuBd/BhPZ6OJJ5WpHGGtQyqiJ9V41KjmvsQ+5nGUjlTiTTw/3kFO04c/AI5qrQtq\n", "3XA5wyilrkLsnQL50iwDHtda/+iz3ZvA/f/EDn4K5CHgVc/TDKC71vqnAo6vHDLervEQ0rAYCo7P\n", "TATq/5kVQi7e5BeYgYiy/Acpr83Py+wexN38fqQMsSg8gGRb/4ucO/44hEjs5yCBWH+f96chs/mY\n", "WC+UiSe3lDEItNanlVJjgTeSTdJyJ0eKHJg5vMxW57feuYQJtOKNad8IpOTX6gE9ikxiTCxsf4YZ\n", "NG8ocMW8281QSnUGns0ip/uPbObHvFYnCxHfMTdT9hfGlMb2R0qF+5mXpyP9ZUEHZfmRSS7/MxmJ\n", "f9OAa82fgEYzhp3sJIOqRJBCNq3zdSDypjXRzsAsePUKB1rr1UqplcfJ6TCfo9xQuN3wPUetoMzO\n", "3ptA7KwJxkLhOfbaypfPsZdZXFiin1fYSaa3OWAHZY9RD4UijjI8zS7WksZa0qhOJF2pYptHHyWb\n", "xaSQ7CmnPQFEK1CPUteWyn+UunzPUX7lOFnkEunqi5UKtNY/AJ2UUhci0vWWT9kBYLLW+vcAmzYE\n", "KccJlg6eh0EFZYaBQI12SKYsVF4GlgBrPb6JAatk/sqYcdW9yLjKWUG1FHi3OPpeC0EiBDaOexrY\n", "gSjVXINkxe7Do9S4Gil1jDfPaxXDAVmd3vmZX01CUrD9yBuUYV7rC8yQ5N2dBK70zYMbmAXPBKCh\n", "FnN5fmEr13JRyA3TFhrNL2y1ni4onkP862AuEEXuwShOTMDVQyl1Af5vXlsCbuzyl8IMgr8wS1FI\n", "ANhIulfGbBEppJJNU8pxjcd4l2kksYITVCGCPsRYwhmFJWDzfBC8BXz0JYlcT0zIXma5aL70KJ2+\n", "ld+6ZxEpAIlk+s2YBcMRjyRBXtneEPBXlq2U8leWnQScPEp2hV2cQqFYwQnKEsZI6tj3ry5UYTat\n", "mUMyX5PITjKcvYhONiLtF1MgeIOy6ZZDlFHGczk7MQHYvwpcsXiIDzIoA6PD8ACFkxIPM9ve5dnX\n", "ORWYGZuP0eT1S7boADyslPoeeCHUSqQiMh34+4eIcbNvCWIY8mU1QrKy8eSxbvhTsPqABuSzzgBs\n", "0+p2+ayWB3c6K0hM894/EcnP3EOksoqdhd7fKnZyWJqfDyAlUC6lBK31Fq31U1rru8zylBuUuRSS\n", "yQDTSPTyHZxnxu0DqGEPnrNNbw/gpb64PgTPPZ91Y4tgbv8lkLiZdMaHboXGG+xni6jXnmlD+6Kw\n", "FGBOgJhqDPWIJYpYohhjx0veOLZdWtiDMEHZx0C9GkRSQ4Yy9YCPzXs2ptn+M4AvSbTPq55Uo6LP\n", "vGw04QykJlNpwXs05UHO405iaerpHPoYaKW1fktrnQws1Ej54nGyOUY2L7EPDdQmiiSyOMhp3uEA\n", "DkGSNwr7c7sUL0qpcKXUdUqpz5VS8Wb53LwWrB9jAsAK4Dhygowzy8fmNV8cHjHbgzzO9kCHqoiH\n", "RmEZDJb0je2b6OezzmofxcKglBqJCLxcWxa43TzZbJZF5jUz1XQtsNhsc6ZYCmw6iJQE+iMMafQ/\n", "gGRILsNrVvEUjutpkaYqDdaUYdV81ilJJTc3MAsBLbwOjAIxk071GLUGTSonmYI9UTRWa53XaMzF\n", "xeVcYB6w+wCZfO1IQCSSBUALh4DCMlJJJIsGlKUHVelCFcoRxhrS2BnAYNjJDk6xhjTKE0bdIprb\n", "a4eh/Wcc5jX2BW1o/xr7mCy3vj/D0L4oTAQpwTzmxxvycioziwuZxYV++8tSyWa+JzALWXQF7PLF\n", "sQCjqMNsLmQ2FzLKTt4z1s+g+m2Ab0i0A/NWjvMqz2egaEdFbqUW/0cdbvYMgXJ81MUeBzLmcZSr\n", "WUd31tmB3wEy6cMf9OEPPuCQJR7xhNZ6SWF+bpfixQiabQdmIX/Hnc1yi3ltu1knv32ch/FvehOR\n", "lr4dkdZ/wjyujZSd7TPbpONlAP1RkIfbAeRCVb6AFfOjPF4XuzzVl6XERzEkTIA1HqOaeQD5/XcD\n", "LjBLN/PaAexUqQLGGzG2EsdcUyaAqCD+kc+6lZHM53tg7pCAWJd1tJ5M834vZLKQXjbwKrv1QiMN\n", "jxA4mPR5LyShPTcwKxxvA4vSyOB15oQUnKVykteZQ5o07i9CzjEXF5dzEFMS+QTAf9nHlxwhJ0CA\n", "s9zMP19PDApFNOH0Nr1nL7GPTGv464dMcnnZDI96E+PsCyu0ub3T0H4yR7iNTcwgiQw/x5FBLtNJ\n", "4jY2WUHZn2JoXxS01tuB7zPRfFqIednPOGypIM4rQi9HM6BeTSK5lVqEoQhDcSu1nJkzLyNIrfV6\n", "4NlcYIWv+HkR0FqvRETL5mvQWsYr85Hx1QykXPOoedxNaz2u2D7cpdAopcYgWdQGDYEXkYHIIvO4\n", "oazWAPhMKbVZKbXWLLONsX0ZY24/D6kwIxNRzuuMDO7/ZR6fRJygL0Hk8Z/F7tvZqLUOtre+KhRP\n", "75BD99ZfMmQ4EDYU6VNAxsfD/axXKjDli28AvI80OOVn2FwNsTJ43/PSeCPGdiZ4D5ieiqjPfIH/\n", "4CrLvHcVYhIOfIucg2XCkC/1IHb5YKGYjgh7tMC/Eo5GSi7XO9af5me9aZ7jyEJa0oLG7TErBFpr\n", "rZQaDMQfJKXlWL5hMFdwMefn63G1ip1M4ScrKNsADHa9M1xczm2MX2L9XBj3EvuYzGFbEW8jJ2lm\n", "5ok3G9+9Cx3ZjjuII55UVnGCUWznEerSqACD6duJZT+nrbfbUwS01lOVUknAF1s4VWMse3id/XSi\n", "MjGmWyCZLJZxzBL6gD/Z0L6IvABc8xGH1HmUoV+QwifTSeIjKefTyPi3SBTipmGpOj8BoswY7LFv\n", "8Pg95qlZNcHZtUqpKPPcqvB5J/RDdClpTBZsXBiSRrkP79n5rkAZ5CQxRc9Oudc2QG/gdaTXsKUl\n", "r98VyZq18Pm8DYgv1BLEY8wxhf334vh5XPJlNKD+hRiGBcvdiNjGC5I5G80ZaOkyglpDgM9Tod8Q\n", "RA3xDrzN5iaB06VxOhJLrghHslz7kPNtAsbfKNTjMNuCfw+zZLN/01iei5ThD74JEfpwyuU7gsOx\n", "oVqBuHL5RUApVR1pgr4aoBaVuZwLaEhNaphG/kSOs5PD/MJWq6cMZHJqsNY6yd9+XVxczj3MoOlZ\n", "8JiDNaUck2mOQtGL9SSSxSwuJNbhh7iVdEayzVbMa0e0rdS4njRbhTGGCCbQhKaU5xCZXC9G68Xi\n", "oWjkrAci97NAIm1nhaF9UXGUB3E7sdxKLaoEmONMJZvPOGwFZQAjg/VdDPDZ4cBOoN4o6nCrySN8\n", "xmGr128vcH4ghUalVB9gZlnCmMuFefrMfDlBNj1Zz2kJBZu5vbR/Hua7H4SMAUHGflNDsHwJR8oX\n", "G7yJUdNwYDXRv26et0ECt4vN81XIH+86n+26IuZiZfDPaaAXEpwZMoAaWuugmmMt38RhBF/7GIhh\n", "2Kof92mt3/X5HKuU8az0UQwFpVRjYFtZZDYlv0yZP5IRZTMzfdf4TKk1mnN0OFKx6BvnW2xE5gHe\n", "Q4SjRlgS+ccQCfsTiMT+kyF+/n8QFciKiD/WKiTlGI/8LnKxM3npyOn0DTKP8RR5E11ZSNm5azB9\n", "pjGmnsORc6BOAasfQL6o99xMmYuLiy/mxnQtYulyExA5joZcS7WAgRnAITL5iEPMIZl0n1LC8oTR\n", "mxhuJ9berrgDM5+foVQY2hcF038xHlBRKK6hGr2pRk3z+z1CJnM4ynyOWuWLGhhVlKDM8dmW+IdV\n", "vmj3JALD/Cgz+m6/ELjaKZfvD43mefYyTRQVF2qtC1326lI0isM7USl1HTCrIRKd+faxjEfSWFHI\n", "yTWIvBkDjcxE34ptOs0GAo+gcazTCi+z6qDN7S3fxKrIYLmwfWbpyADNlMC193c9Opt9FENBKfUy\n", "8PDtePX0hcTtmIsMvKy1PqMK2WZc3Qm4EY/ORyJSurjMVK1FIveWChuB5malt5GoTiOCIU9ScOZM\n", "IwPzp83zckAl8hUSeVVrbVucKaViEUl8S1RmDTAp1EyZvT83PigezEnSB+nZaA+2yVkCYrWwAJjp\n", "Cn24uLgEg1JqFPBGJIqnacBkDrOJdCbSlPZU9LtNGjnEk8phoxlViyi6UIVovPUgVnGCe8WuwzW3\n", "LySm/2I00DOf1TTwPfBicUpQ+5PLB/zJ5fvb9lJExaxMf6ozkjp5MmcnyGYCB6yg7DTQ2fVn/PMw\n", "ZV6TqyH9LSCDSNOvNURrXaBth1Lqc+CWF8nrQ3MaOA/xVvgCUTD0R5J5z6pB7kzwdW5d8JIiDcnc\n", "Xim1AugwCSlvKwyTsOXyV2itLy3kbkoF1u9rESLu4cs8xCQWRIXI3wVsEdBdHp6Vvy+lVByQUBMJ\n", "oH5F1Ih86+OvQsoP+5FXij8LqYecgJePRwo+PYhWYOcTLV1dUoG722NWTBhZ4mn47wN0cXFxCZUJ\n", "QMMs9INPsIvKJrj6nZMBA7NowrmemAJ3/LtHNt81ty8kJtCKN6atI5BxqlU1dBQZh04siTIgrfUn\n", "SqnJFMJgWmv9q1JqEDB1GkllZpNML2JoaXIRG0hnLslW+eJpYJAblP3p9AUJypw65qPkv34E56dY\n", "GzyliU6+RoKuNgSWpE9CTvCNSNYqHZEtD5bL8ArMQnWlfwv46E2kfixU1bpcpNTNsa+/OlUhcAnX\n", "CGQmx3q8x886jjKKUCshzzjTkQmD08i5OQQprf0ACbh+AOIQ02fLPPoIUofoSGmdAG7VWs9USs3F\n", "xKtD8Jw7DwCfe9YfBbiBmYuLi8u5ginX+CewC3jyGDnVAWaRzDBqFcncfhbJ1lPX3L6ImMDrjJb6\n", "mM/NQarECrPtDKVUZ+DZ0+ju00liet7VFiIS925Q9hfHGmzeh/+yL40MfDciZYvXAy+dmUOz+BJ4\n", "eQ3UeBT4b4gbPwKslYelyTfRJX+SgJNHoMIgRBl0BKLOZPzqeA74FAmsNhMwIt+IVEB+qrW2rPcu\n", "AflbeBNP+uxNZAbEZM78iTYWC65cvouLi8tZivFOHI9MYA4DTu8mgwVWEVMhWEAKe6St2zW3P4fR\n", "Wv9q+saaIWWRk8wyFhH66OEGZWcNM0DKFyeY5WnPe35iar8kgAga+H0D/9k0EJWFRUiaawGenrJf\n", "gvxgP+uGJHzm9E18BVHsC2wO4iHXrPuqPC1tvolFIQX8yKgaJiI10PUIbKi43/PwaIBVigVjdN7S\n", "LMEam1tVap+BJyh7B09QBtIndj8SecXjMDuTyc6HkSRwK631W46g7E/HDcxcXFxcznK01qdN/9Df\n", "QXzLEsksYKu8JJLJS7bdq2tu7wJa6y1a66e01neZ5SlXffGsYyowMwWpnxqF3V82k+AzQJNBfMWC\n", "CWosshC1OvAYSd8IVEBKEzcGsY8NeJUxAnwXwiEA3r6JryJB5CTwmDk4SEfK2C7GDspKnW9iEVkK\n", "ki3yR0+kfHEPgRtkHdsuDbBKkTG9sjsRX+k/gJ3mtWCZA1K++AKBRT4UEoHNBctMpiEwS2u9LIAQ\n", "3w8gmbEHkL+1o3hERZzrlARuYObi4uJSengPWJRKNvezLaTgLJFM7mcbqSKr75rbu7iUEkzZan+k\n", "5eVLswwhSEVGwzxg9y7ymsxZSmX+smnfIRm1ZogfBkgm4jbz+AHwuCL64TSevjhHNuOYv3ULQms9\n", "FYklEtciYh51kFKC0WYZZl67G6/yxZ5m23OFiSAKmoVJdyWbbZ37Km4c6rL1amOfg/WAj0MIzi4G\n", "+UOoUsCKmHWGep4ODbiisUMBKfONQbLFn3uv80aQxxgybmDm4uLiUkows3uDgQ07yeAWNjGfo+h8\n", "LIc1mvkc5RY2sdM1t3dxKZVorXO01l9orQeZ5YsQgjIruHsCJOP2FtiW70PM/++Q17x8vvl/GN4Z\n", "iTFALOJP1gv/zY4b8HiYxeLRoacI/Tkm61UfUXRfkYp4k71klk+wJfF/NYdd/xzKlAGgtd4OfJ8B\n", "vFyI7f+LHWzPKwnxIlOyOBbkO9tnFkff4tggyxrrAIQiGemQIA5ob2XUFp+wn5Pn7+IJrfUSSghX\n", "Lt/FxcWllOFrbl+fMvShOq2owHnG6nU/p/mdNGaRbPWUgWtu7+JyTqOUGgOMA6nnGgFchMz2HCOv\n", "XH4HJJMWj5SDOVmHmC5afk+d8Sg1/oKnBi4WSdelIIbUFKNNx7ngm1gYjJ3HYkC9j2QQg+F/wD3y\n", "UAPditPmw3FsLYE/6iDqkE5H77rYPY+ttNb5ihsppT4A7gzl53sfe4Jgktb6rgL23w2Zx7AmEn4A\n", "3ijJoAxcVUYXFxeXUofWOkkp1QNjbr+H03XeDNjqDbjm9i4uLoDW+jml1B7g2V3Q4F8+7w/Do8Ko\n", "8AiDnO9nXxcBK4HnkZ6kpXg3JEUjJY+PIQPufZ63alNMmADsnA7C/KG1jldK/R0Yfw+wA1G7CGSm\n", "koxkyl7wvDSqJIIyr2Ms+i4OgKRGgw3MVvhsmx8mc3bGTcbdjJmLi4tLKcY1t3dxcQkVUyp2LdJr\n", "Y5V11cJ4412EyOc/iTRp7UWCq0AcR+QhreCrLmKwVsmxzj5sR/QDWmuHVZZLSaGUegDpmVJlEZ+6\n", "2/D4lO1Hguop2OWLGgnK3vTdVzEeUzgi+lHvJUQ5E+AVbN+RvcD5BZXqKqUuADaXR6KsgvrMUpGb\n", "4yl52uxsFTlyAzMXFxcXFxcXl3McpZRCtDqexMcEOp68pYyhEk/xlzK6FIwpaxxNYBFGkIDse+DF\n", "ks6UmWOyxD+8ZhINw4wKcTD7WQhcbcnlB1Jm1MhEg1EyWWisQs5KXPEPFxcXFxcXF5dzHB/fxFsR\n", "OfJkCM2zLBCOfawuht25BInWOl5r3QtojOiBrAC2m2WFea2J1rrXmQjKzDF9glTO7k3ADsr2EkJQ\n", "ZngcOD0RCbxS/ayQildQdhqHsMfZiJsxc3FxcXFxcXFxyYNSqj/wTTPEsyxQRqIgNNAcMLVjN2mt\n", "pxXH8bmUbkxZYzPzdHMoSqOOffRFvP7KlENqc6107ArEwM+UL54GBmmtZxTtqEsWNzBzcXFxcXFx\n", "cXHJg+lh3Q38f3t3bNQwEABRdK8HIkd0QQP0YhdCETTADO6BBlyI3IYcSMMQiACNYQneiy+49Ae3\n", "d3jP8kZpj3M+1x6nJI/evHJPY4ynJC9Jnr858pFl5v7yd7faR5gBALBpjHFM8vqQZSL/p5OK1yxj\n", "IusfHad5nn/l02JYB0G+DtpMSd7+69DHFmEGAABQZvwDAACgTJgBAACUCTMAAIAyYQYAAFAmzAAA\n", "AMqEGQAAQJkwAwAAKBNmAAAAZcIMAACgTJgBAACUCTMAAIAyYQYAAFAmzAAAAMqEGQAAQJkwAwAA\n", "KBNmAAAAZcIMAACgTJgBAACUCTMAAICyG7MKW5dJySGQAAAAAElFTkSuQmCC\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize =(15,10))\n", "tlist = np.linspace(0, 1, 6)\n", "\n", "for i in range(len(tlist)):\n", " t = tlist[i]\n", " Xt = (1-t)*X0[:,I] + t*X1[:,J]\n", " plt.subplot(2,3,i+1)\n", " plt.axis(\"off\")\n", " for j in range(len(gammaij)):\n", " myplot(Xt[0,j],Xt[1,j],gammaij[j]*len(gammaij)*6,[t,0,1-t])\n", " \n", " plt.title(\"t = %.1f\" %t) \n", " plt.xlim(np.min(X1[0,:])-.1,np.max(X1[0,:])+.1)\n", " plt.ylim(np.min(X1[1,:])-.1,np.max(X1[1,:])+.1)\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Optimal Assignement\n", "-------------------\n", "In the case where the weights $p_{0,i}=1/n, p_{1,i}=1/n$ (where $n_0=n_1=n$) are\n", "constants, one can show that the optimal transport coupling is actually a\n", "permutation matrix. This properties comes from the fact that\n", "the extremal point of the polytope $\\Cc$ are permutation matrices.\n", "\n", "\n", "This means that there exists an optimal permutation $ \\si^\\star \\in \\Sigma_n $ such\n", "that\n", "\n", "$$ \\ga^\\star_{i,j} = \\choice{\n", " 1 \\qifq j=\\si^\\star(i), \\\\\n", " 0 \\quad\\text{otherwise}.\n", " } $$\n", " \n", "where $\\Si_n$ is the set of permutation (bijections) of\n", "$\\{1,\\ldots,n\\}$.\n", "\n", "\n", "This permutation thus solves the so-called optimal assignement problem\n", "\n", "$$ \\si^\\star \\in \\uargmin{\\si \\in \\Sigma_n}\n", " \\sum_{i} C_{i,\\si(j)}. $$\n", "\n", "\n", "Same number of points." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n0 = 40\n", "n1 = n0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute points clouds." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "X0 = random.randn(2,n0)*.3\n", "X1 = np.hstack((gauss(n1/2,.5,[0,1.6]),np.hstack((gauss(n1/4,.3,[-1,-1]),gauss(n1/4,.3,[1,-1])))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Constant distributions." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "p0 = np.ones([n0,1])/n0\n", "p1 = np.ones([n1,1])/n1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the weight matrix $ (C_{i,j})_{i,j}. $" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "C = np.transpose(np.tile(np.transpose(np.sum(X0**2,0)),(n1,1))) + np.tile(np.sum(X1**2,0),(n0,1)) - 2*np.dot(np.transpose(X0),X1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the coulds." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAk0AAAGiCAYAAAD6APKSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3W+MnVme0PfvmenNuO1yV1vsIshkhwUJ2sC6NfaKSLCk\n", "B20EM+VdXpCIyOtGSBaeVlsgjXnBC94gxGukVieR3ZoiaVDkXpMQZSWCix5AMJ0soI1cPbJhqUqE\n", "NPaQP8wCtqvK7p7dmT15cc6tulV969bz3Pv8f74f6ZGrnnqufe69vnV/9/x+53dCjBFJkiTN97m2\n", "ByBJktQHBk2SJEkFGDRJkiQVYNAkSZJUgEGTJElSAS+1PQBJUv1CCAE4nb99EV06LZXmTJMkDVgI\n", "4VIIYR3YAfbysRNCWA8hXGx3dFK/BD9sSNLwhBDOAXeAtcm5U/nPTw9fugFcjTE+bWpsUl850yRJ\n", "A5MDpm8Da6vATWAL+CQfW/ncarp8DfgohPBqG2OV+sSZJkkamBDCPWDtPPAh8KVjrnsMfJUURAEb\n", "McbLTYxP6iuDJkkakBDCJeD+KvCA4wOmicfABVLBE3ApxvhxneOT+sz0nCQNyw2Aa5wcMJGvuXbk\n", "tpJmc6ZJkgYitxXYAVa2gNcK3m4bOJ++3AVWbUcgzWbQJEkDEUI4A+ydIhV8l/Ey+6vqVmKMz6sd\n", "mTQMpuckSZIKMGiSpOF4Aex9Skq5FbXN/izTbv47JM1g0CRJA5Frke4CvFfidrcPvrxrPZN0PGua\n", "JGlAyrYceAS8zn7LgYsxxu/UOT6pz5xpkqQBiTFuAhvPSI0rH8+59hHwNfYDpg0DJmk+gyZJGp43\n", "gYdbpMaVNzlc47Sdz73Ofjfwh8DVRkco9ZDpOUkaoLyX3Ae4Ya9UGYMmSRqwEMJFUqfvK8DZfHqX\n", "VDB+221TpOIMmiRpBHK38NP52xeukpPKM2iSJEkqwEJwSZKkAgyaJEmSCjBokiRJKsCgSZIkqQCD\n", "JkmSpAIMmiRJkgowaJIkSSrAoEmSJKkAgyZJkqQCDJokSZIKMGiSJEkqwKBJkiSpAIMmSZKkAl5q\n", "ewCSNFQhhACczt++iDHGNscjaTnONElSxUIIl0II68AOsJePnRDCegjhYrujk7So4AcfSapGCOEc\n", "cAdYm5w7lf/89PClG8DVGOPTpsYmaXnONElSBXLA9G1gbRW4CWwBn+RjK59bTZevAR+FEF5tY6yS\n", "FuNMkyRVIIRwD1g7D3wIfOmY6x4DXyUFUcBGjPFyE+OTtDyDJklaUgjhEnB/FXjA8QHTxGPgAqng\n", "CbgUY/y4zvFJqobpOUla3g2Aa5wcMJGvuXbktpK6z5kmSVpCbiuwA6xsAa8VvN02cD59uQus2o5A\n", "6j6DJklaQgjhDLB3ilTwXcbL7K+qW4kxPq92ZJKqZnpOkiSpAIMmSVrOC2DvU1LKraht9meZdvPf\n", "IanjDJokaQm5FukuwHslbnf74Mu71jNJ/WBNkyQtqWzLgUfA6+y3HLgYY/xOneOTVA1nmiRpSTHG\n", "TWDjGalx5eM51z4CvsZ+wLRhwCT1h0GTJFXjTeDhFqlx5U0O1zht53Ovs98N/CFwtdERSlqK6TlJ\n", "qkjeS+4D3LBXGiSDJkmqWAjhIqnT9xXgbD69SyoYv+22KVI/GTRJUk1yt/DT+dsXrpKT+s2gSZIk\n", "qQALwSVJkgowaJIkSSrAoEmSJKkAgyZJkqQCDJokSZIKMGiSJEkqwKBJkiSpAIMmSZKkAgyaJEmS\n", "CjBokiRJKsCgSZIkqQCDJkmSpAIMmiRJkgowaJIkSSrAoEmSJKkAgyZJkqQCDJokSZIKeKntAUhS\n", "00IIATidv30RY4xtjkdSPzjTJGk0QgiXQgjrwA6wl4+dEMJ6COFiu6OT1HXBD1iShi6EcA64A6xN\n", "zp3Kf356+NIN4GqM8WlTY5PUH840SSMWkjP5CG2Ppw45YPo2sLYK3AS2gE/ysZXPrabL14CPQgiv\n", "tjFWSd3mTJM0QiGES8AN4Aqwkk/vAXeBWzHGj9saW9VCCPeAtfPAh8CXjrnuMfBVUhAFbMQYLzcx\n", "Pkn9YdAkjcjY0lQ5OLy/Cjzg+IBp4jFwgVTwBFwaUvAoaXmm56SRGGma6gbANU4OmMjXXDtyW0ma\n", "cKZJGomxpalyjdYOsLIFvFbwdtvA+fTlLrBqOwJJEwZN0giMMU0VQjgD7J0izaSV8TL76cqVGOPz\n", "akcmqa9Mz0njYJpKkpbkTJM0cGNNU431fkuqjzNN0vCdBlZOUTxwIF+bV9ad5WDLkd7Iwc5dgPdK\n", "3O72wZd3DZgkTTNokjRktwHeJ9VpneRRvja7VcuIJPWWQZM0fC+AvU9Jqaeittkvht7Nf0fvxBg3\n", "gY1npBWB8wKnR8DX2C9+34gxfqfu8UnqF4MmaeDKpKki8DwfU9MsfU9TvQk83CKtCLzJ4eBxO597\n", "nf02Cw+Bq42OUFIvWAgujcBJLQc2SXmsu6S9VI64EmP82zUPsVa5SecHjKQTuqR6GDRJIzGrueUT\n", "0jTMxtR1Qw4mQggXOdhz72w+vUuKF2/3sR+VpOYYNEkjMbWNyoVXgF8E/jHwf5K2TrkGvM3BCrtt\n", "UjrvfeBZOvUQeKPvgRPstyOYrAh80fP0o6SGGDRJIzIrTVXFtioGIZLGwEJwaURijE9z0HMV0gzT\n", "vICJ/LMPgVfSt2s5xQWkWqkQwjpp0dlePnZCCOvT10nSEBg0SeP0c7D4tiohhHO5Ruo+cJ3cPDPX\n", "Q63kc5shhHt5dkuSes/0nDQyFW0v8l3gwthqoSSNm0GTNDIhhDPA3ingkyM/ixx0sTwNhCM/f5mD\n", "VXVV1EJJUp+YnpPEJvB1Ut3SSj5eyedmrcF/heVqoSSpjwyapPHZ31blV4HLwM8Af4NUxT2pTdrL\n", "5y7la/4PDmaZFq2FqmLwktQW03PSCOUVb9d/HPh3FOvT9NuAf59/tkQt1KrtCCT1lUGTNEKTbVWg\n", "dG0S/xHwg5L/3lQt1EqM8XnJm0tSJ5iek0ZsgT5NkjRaBk3SON2AxWqTfoOUcitqm/1Zpl0OFudJ\n", "Uu8YNEkjk/s0XYFUw1TUdBX37RK3m7r2rvVMkvrMmiZpZOb1aTrJpDbpFVLHypNmqR4Br5M6aQIX\n", "Y4zfKflPSlJnONOkQQrJmXwc7dGoJe2QisMfz7nmEfA19gOmDQMmSX1n0KRBcQPZQvb7NC1YmwTw\n", "f20BF4CbR/6e7XzudfZX3D0ErhvASuo703MahBDCOeAOsDY5lzePnX6jB9gAro59H7RJn6abwDsF\n", "b3MTePfg278F/HZOfry/B5wjNRmHFMTeBW7FGGc1G5ekzhpc0JQ/yZ7O376w8HT4csD0bdxAtrBJ\n", "n6ZV4AGla5MgN6oEvkyqEb8CnJ362VPgJycXG8BKGoLBpOfaTstYQ9OqO8CF86QA4B0Od6t+LZ97\n", "wH5n6gvAB42OsHu2IQWRZWqT1tgPgM4Cp2OMH8cY3yIFUCvAfwJ8F/jJVdLs1Bap4PyT/PXNfHH+\n", "6z4KIbxa3d2SpPr0fqap7bRM/sQ++aRtCqJhZWdMHpMipjxjcmmsz89kBV0AImk13DXSf+TpGbrb\n", "pBm6HdLj9hHwOzm+u3cI4R6wVrLL+EaM8XIV90uS6tTrmaaptMxa059qQwjn8hvEfeA6sDLZ6JQU\n", "PF0HNkMI9/wkXauFmzQy7g1kXwB7EXiDFBS9S5qJezkf5/O5yQzTR8C/5fhGlTmAXVugy/iaRfqS\n", "+qDXQRMtpWXaDNZ0oIImjVfGmkrNtX53AS4Bm8DXSTm3T/NxNp/bBO4Br3Jio0oDWEmD1tv0XJtp\n", "GVMQ3VBFk0ZGvIHsrNdQ5GD66DQwHVHOa1SZg88dYGWLwx9e5tlm/wPNLrDqwg1JXdbnmaZWPtWa\n", "gtBQxBg3gY3pYvAAnMnH0YDphEaVp8kp6qIBE/na6cLycvdAkprVy6Cp5bSMKYjuWLZJoxvIwpvA\n", "w5KNKq82OkJJ6oheBk209KnWGppuma7Lea/E7dxA9kCM8QmpFnzjpGJw0grU4/pbGcBKGry+Bk1t\n", "MQXRPbchLYuf12to4lG+NrtVy4h6Jsb4NNfbXQLWgd1JMTgpmFkn1QFePq5lhwGspDHoZSF4W0Wn\n", "Fh53U9HC/EldjoX58y3aVX/JLuMXZ9RJSVKn9HKmqcVPtaYgusm6nArF5Hk+Cr9OZhWWH6dAYbkk\n", "dU4vg6as8bSMKYhuqrAuR8szgJU0WL1Mz020kZYxBdFtua3DrA1k7wK3x7ptSpNyI9cPaGlrI0mq\n", "S9+Dpv3d7YvsnUVFu9tbQ9N9i9blqDoGsJKGptdBE7TzqbatYE3qIwNYSUPR+6BpoulPtaYgJEka\n", "l8EETRNNf6o1BSFJ0jgMLmhqiykISZKGzaBJkiSpgD73aZIkSWqMQZMkSVIBBk2SJEkFGDRJkiQV\n", "YNAkSZJUgEGTJElSAQZNkiRJBbzU9gAkDY/NXiUNkTNNkioTQrgUQlgn7VW9l4+dEMJ63nJIknrL\n", "juCSlhZCOAfcwQ2sJQ2YM02SlpIDpm8Da6vATWAL+CQfW/ncarp8DfgohPBqG2OVpGU40yRpKSGE\n", "e8DaeeBD4EvHXPcY+CopiAI2YoyXmxifJFXFoEnSwkIIl4D7q8ADjg+YJh4DF0gFT8ClGOPHdY5P\n", "kqpkek7SMm4AXOPkgIl8zbUjt5WkvnCmSdJCcluBHWBlC3it4O22gfPpy11g1XYEkvrCoEnSQkII\n", "Z4C9U6SC7zJeZn9V3UqM8Xm1I5OkepiekyRJKsCgSdKiXgB7n5JSbkVtsz/LtJv/DknqBYMmSQvJ\n", "tUh3Ad4rcbvbB1/+HeB0ro2SpM6zpknSwsq2HHgEvM5+y4GJPVLwdcsWBJK6zJkmSQuLMW4CG89I\n", "jSsfz7n2EfA1DgKmU+xvtbICXAc2Qwj37BYuqasMmiQt603g4RapceVNDtc4bedzr5O6gf848Ku4\n", "zYqk/jE9J2lpOcj5gBM27P1jwP8CzIqI3GZFUtcZNEmqTAjhIqnT9xXg7OT8jwG/DJwUBbnNiqQu\n", "Mz0nqTIxxo9jjG+Rsm0rwN8E+POcHDCB26xI6jZnmiTVwm1WJA2NQZOkWrjNiqSheantAUjSIvJM\n", "1un87QtnpCTVzZomSXWpZZuVEMKlEMI6KfW3l4+dEMJ6LkSXpFoYNEmqRQXbrNydnj0KIZwLIdwD\n", "7pOaYa4s0iAzJGfy4RYukgozaJJUp9sA7zO/W/jEo3xtdmvyRQjhHPBtYG2V1Axzi3INMp2hkrQs\n", "C8GlEWmjDijPDq2dBz7k+P3pJtuszGpuWfTvmNUgMwdcdzih8SawAVyNMT4tds8kjY0zTdIItDzL\n", "UmqbFeAhcHV67OQZpnkBE/lnHwKvpG/XQghvsOQMlSRNONMkDViJWZZfAX6hrlmWotusMGO2Jwd7\n", "128C7xT8924C76Yvvwf85CIzVAX/KUkjYtAkDdRUHdCFVVKn7bc5aDK5TSrQfh94lk7tAhdijI9q\n", "HNOsbVZ2SQXjt49um1JBg0xeIU1dzZuhArdwkXQygyZpoBasA9oFvlR3XU/R2qoqGmT+eeC/LXib\n", "qRmq9bwdjCTtM2iSBijXAd1fBR5QepblV2KMf7TO8RVVRdC0CRQt2nILF0nzWAguDdMNSCm5kwIm\n", "+MxGuT/boSX4yzbI5Mslbvca+7VWZzmYCZMkwKBJGpyc+roCqYapqBtzv23Hsg0yPw/YvVJSVUzP\n", "SQNT0Ua5nUlPlU01PiK1L8ipRhYsIO/M/ZfUHc40SZqlM+mpGOMmsPGMVLA+r7P4pEFmDpi+B9Vs\n", "4SJJYNAkDdHSdUAdtEiDzD8Dy2/hIkkTBk3SwFSwUS6k9NSLyga1pBjjE+ANYGOH1BbgPCmd+HL+\n", "+l32Z5g2gDdijB+x2AzVRozxO9XfC0l9Z9AkDdMyG+VCB9NTMcanuVP3JWAd2P2UQzVY66SmlJen\n", "+kwttYWLJE2zEFwaqBDC/w78bJmNcl8CfphOX+z6bEuJBpkLb+EiSdMMmqSBytuoPALOvkLqw3SD\n", "w9uo3CbNMO0AXwB+kH40yL3Xym7hIklHGTRJAxZC+F2klNMkSJg5yzI1w/SQVA802NmWojNUknSU\n", "NU3SgOXNd78E/Mrk3FQd0L4cME0KqAcbMEEqlI8xPs+HAZOkwgyapIHLBdR/lKkC6qkfH1dALUk6\n", "wvScNDKmpyRpMQZNkiRJBZiekyRJKsCgSZIkqQCDJkmSpAIMmiRJkgowaJIkSSrAoEmSJKkAgyZJ\n", "kqQCDJokSZIKMGiSJEkqwKBJkiSpgJfaHoAkDZF7/EnD40yTJFUohHAphLAO7AB7+dgJIayHEC62\n", "OzpJy3DDXkmqQAjhHHAHWDs4eyr/+en0pRvA1Rjj06bGJqkazjRJ0pJywPRtYA1WgZvAFvBJPrby\n", "uVXSNXwUQni1ndFKWpQzTZK0pBDCPWANzgMfAl865srHwFdJQRQbMcbLzYxQUhUMmiRpCSGES8D9\n", "NIv0gOMDponHwAVSyROXYowf1ztCSVUxPSdJy7mR/rjGyQET+ZprR24rqQ+caZKkBeW2AjvASkq5\n", "vVbwltukVB67wKrtCKR+MGiSpAWFEM4Ae2mV3Cclb/0yeVXdSozxedVjk1Q9m1tKkmayQad0mDVN\n", "kgoJyZl8hLbH0xEvgL00Y7Rd4mbb5Fmm3fx3dIoNOqXZDJokzeUb6PHyzMvd9N17JW55e/LF3S7N\n", "3oQQzuX2CfeB68BKSj2eIn3NdWAzhHDPPlMaI2uaJM1kh+tiyrcceAS8Tm45cDHG+J16R1jMVIPO\n", "C+m+XAPe5qC4fZsUGL4PPAN4CLwx1udd4+RMk6TPqLPD9dDSfDHGTWAjBRJfJfVhOs4j4GvkgGmj\n", "KwFTdge4kFb1PQDe4fBqwNfyuQfklX8XgA8aHqPUKmeapBaULbBtuiC3jg7XeUbmBnCFlOqBlOq7\n", "C9zqc5PHw7M0r5BmaW5weJbmNmmWZgc6Nktjg06pGGeapAaVrQ9qo54ov4HmGaZ5ARP5Zx+SAgXW\n", "jrkPg6+TiTE+Ad4ANtJT9S4p4Hw5H+fzuTTDRIcCpswGnVIBzjRJDShbHwSEMtdX+Qacg7TrKf32\n", "TsFb3SQFBazHGN+a+rtGVyeTA8fJjNrZfHqXNKN2u2uzMjbolIozaJJqtkDg8GtABP5g04FG1W+g\n", "Y97Iti89jmzQKRVn0CTVbMHAgTYCjSrfQK2T6QeDJqk4a5qkGpWvD/rr+etq6olaZp1MPwyyQadU\n", "B4MmqV4lA4dfptz1lQcalbyB5tTUlfSzt0+4bQSe52P/2itDaEfQB0Nr0CnVyaBJqkm5wAFS8JDf\n", "uwpdP7EfKy0daFT4Bnqa/VVyx9VFbQJfJ82UreTjD5F/LZ3loB5I9ctP4PvM7zM18ShfC8CtWkYk\n", "dZA1TVJNyteKPCcFDu3WllTR4Xr+fX8CvEla+Dcxc2XgPwMu93klXZ8Ur72bNOgcTtG+VJQzTZIO\n", "qajD9TFpvifAV9Jff3Kn8T8MPA4h/K5K7phO8ibwMD0HF0jPw/Rzt53PvU4OmB6S2mNIo+FMk1ST\n", "8sv3IylVtUfb/XKq6HA9u9/TZVLAVGpl4C7wJWec6pebi36A+w1KMznTJNWkfH3QVAlUywW5FXW4\n", "PlInkyewyq8MPAv8r0vfKZ0oxvg0p9suAevAbgqW9ov810ntIEybapScaZJqVL4+6O8Bv8Ay9URL\n", "DXiGZTpcH66T+XK+yUKdxsHeTY3rS4NOqSkGTVLNFiywpWsFuSe9gc76+eE038RCqUc4skWLJDXN\n", "9JxUv7IFtr8G/MuuFeTG5Hk+9gOmeZsKAz9FSvN9K109rwXBLK9xUFNj7yZJ7XKmSZ0w9DRA2QLb\n", "/HWnC3JLbkJ8Hfi/l2ynAG7XIalFzjSpVfNmKTq4LUhhITmTj1C2wLbrBblTabe1Aq0D1oC/Dzxf\n", "otO4JLXOmSa1YtYsxcw5ip4tbc6F35Oi6ZV8eo9UAX1rUshcdmatazNxC25C/D3gJ5coBK+spYIk\n", "LcKgSY2bLg5eJXUAepvDHYDeIy1Uf5ZOfaYHUNeUTFX1JgicpfyKwMek2qyd/P1CKwPBQnBJLTM9\n", "pzbcAS6cJ711vsPh0uDX8rkH7K+bukCq7+mkBVJVH+Uap74quQnxoU2F/235TuMvTU66x5mkVjnT\n", "pEZNZikWnKPoZJ+eBVNVvdyzq3yX84lDXctDun2RTuNfAH4APX28JA2LQZMaNdlaY8Gqls6lZ5ZM\n", "VXUyCJyn/CbEE5vAfwr86Jifz0plvgT8EHqQnpU0Dqbn1Jg8S3EFUg1TUTcOvuxin55lUlU35lw4\n", "EE9I+839DAcB0ynSDNK0/ZWBU34Ix2/RIkmNc6ZJjZnMUizZqaczfXoqSlX1ajVYufv8BPgKaaLo\n", "uJL/vwb8j+QAaaLQFi2S1DRnmqTFnQZWluhyfZaDNgK9UG4T4twInXkl/3eAfz19/lukQPItAyZJ\n", "XWPQpCa9APaWaG+4m/+OITndwZTjSW6nP97n+BVwm6TM2irzi+PJP/sWqTCcP0Ha2VeSOsegSY2Z\n", "nqU4aY5i2u2DL+92LJX1Athbssv19+lZB/QYY46I5rUOmDxr1npJGg6DJjXtNsyfo5j2KF+bdapP\n", "T7lU1bRJQPF5cppuhbQ322YI4V5PejjN2YQ4ctBWa6GS/y4W/EuSheBq3qSv0UldjSbtDbfSt53s\n", "01O+5cB0l+uPSZmoz/RA78US++M3IY6k3kpLlfx3puBfkiacaVIb3gQezpqjIH99kxRa5IDpIXC1\n", "0REWVCxVNTHd5XqNg9Kdz/RA73QH9InjNxX+QbsDk6SaONOkVsyapejrhr3Te+kV63J9AfgImJWF\n", "62/zyyObCv9/jKgVg6RxcKZJrchB0M8Df4QUTexOtTfcJc1cXIoxXu5ywAQQY3wCvAFspGDnXdKb\n", "/8v5OJ/PTWaYjguYYEAF0UvUenWu4F+SAGea1IJcB3SD1B18JZ/eA/4O8E3gn/f1TTOvgJvct7MH\n", "P/nTwF8GiiyQ69eMyzHP5wvg9GK1XlyMMX6nntFK0uIMmtSYnMa6w2cKh+FIUq7zKbmT5FTVjwPf\n", "T1uGHN0i5CTdL4gu/nyWKvnvZMG/JIHpOTVkqu5nLc0+3CS9SX6Sj618bhVyDqsnS+9nyrNDuRHn\n", "8FbPF3s+3yb9iilc8l9rwX9IzuSj1SelS2ORVJwzTWrEpM3AybMOj0mr0Po/6zDkvemKP58PgT8M\n", "TE+WNTu7OCcdfBe41WSxfZfGIqk8gybVrnwvo/6uIDsqhLAOXE8zKu8UvNVNUuE46zHGt+oa26IW\n", "ez7/ADlweg6cyT+odWPeLqWDuzQWSYszPacm5FVgw91SY066pcA+bdMO9UDvVAf0KQs8n9cn33xA\n", "mmFZAX4n8BeByou+F0gH/291pYPHlpqWhsyZJtVqyCkqKJZuOT6VNVX2xGlSUNXtgugKns/nwC9R\n", "c3pqwXTwj0gRa6VpsjGmpqWhMmhSrUIIZ4C9oW2pUTLdcgP4u+w3v/x54If5R3v5sh/Lf/4mdHgb\n", "lcWfzyekxYS/NXWunvTUkungysZRwVh6nZqWhsj0nFTSAumWvwv8SeAfpDfDXwL+J1LAdCofv5kP\n", "IHXTHpAnwFdIAVMj6akl0sE/XeU4lhxLP1LT0pg406RaDSU9N9V3CeBvUT7d8g+A3wFcSG/K10hL\n", "8qe3Wun+pr2LPZ+XSRM39aenlv//dpb00C+fJh3K/31JB5xpUq3yL/zebqkRQrgaQtgiTZN8Px95\n", "hmleAED+2YeklBx/HLiQ3gwfkFbSTb+JdnvT3kmhO6n4qsTzmfczLv94reXu6mWdBlbS7F3RIIV8\n", "7SlSnPLjVYyjgrFwloO9/CR1gEGTmtC7FWQhhJ8KIXyfVLeU3/FOAZ/PV5RJt/x8/rqxwKEyIYRL\n", "uW3CDimfuMd+A8q/wcnP5yT47Vt6qivjkNQlBk2qXYwxTzc8I6Vf5r3RTrbU2IGUGml8D7IQwk8B\n", "/wr4icM1OC9IxemQUmtF/TD/2Z/AIYRwLq/6uk/qF7ByUH81mf3YI/VfenjM3xJJ9VtQ7vHav8tX\n", "FuiW/SIN7FMOdx8/yTbpNtOTO0uNo4KxsMvB8kpJHWDQpKa8CTz87JYakbQK/WPgGzS1pcYJfhU4\n", "9dlUWn4PLJVuiaT0FFQdONS1FUe5QvfnwJfzeI9ukfIX8s+bS08tnw6+wsG2N8ulyfqempb0WRaC\n", "qzF5JdIHHFqmP9OvAL/QRhF0COEqcGf2EvHnpNZCZZbbL3KbidktF+reimPBvkLZrDYCzbabKL/M\n", "/xEpWN8hBe9frmQcy4+Fi23MtEo6njNNakwOgt4kBUVT9tM+Ez8LfNBSV+S/kv6YlUrLdb2l0y3V\n", "OCFltpLPbYYQ7i362OU3+UUK3QGep8dmP7W0DrxoOj21eDp4jcMB0/Jpsr6lpiXNZ9CkxkylfX62\n", "i9tJ5BRXziP9WVJq7dAVpMkdKJ5uOU1qXLlc4FDlVhxH0npH03vL9BWa3iJlNe+bl1cANp6eOiYd\n", "PLGdz03SwbMWK1aWJis5llZT05LmiTF6eDRyAPeACOcjPIoQjzke5WuIwL2GxnYJ+B/yv5mPlQjX\n", "I2xOje1+/tnqCfdhcnw3wo/l29wscP3k+MZkHN+s6rHL93GdlDOMR47nh3+2VWKsW5O/Y4ec8j/y\n", "b5Z8vF6Z/H1fXvI5ffXgcZscp/IxfW4twpPaxlFuLNwDXm37terh4TH7aH0AHuM4yr95Ppp+07pY\n", "47jOlX9jXYvFApjvTgcwCwcOyz52s+/jvPv6uRlBxEnH/t9xZsZjXDDgO/R4VRYs58fgm6SW6/Eg\n", "IP56PBwQ1zuOI2PZmXrMd/K52v6fe3h4VHO0PgCPcRx5FiMuM9tSw5jOkapzc0ByMx6eYdnK51bz\n", "OC7kYOI/5K/Jwck3ZtzuG9OBywPgW4sGDks+dn/z4D5+Lpa/r0X/vblB09TjXPjxqny2JY/jYfo3\n", "zrY2jjyWAJzJR6jj3/Dw8Kj+aH0AHsM/8hvEbnojqibtU9G4Fkh5reVzT+LBjNPJ6ZZFA4cKHrs8\n", "u3ImLn6yiO4lAAAVyElEQVRfl3+e6Eh6qivj8PDw6OdhywHVLm+/sdf00vMTxrTE7vObpCwLwN8D\n", "/hRTm+1CCnLuArfj1PL/2S0XZi3RZwO4GmN8GkL4IvBvFnvsvgD8Bqkue4/l7+txbgLvAqzHVPx9\n", "rNzhfNIu4Ww+PfPxqlNXxiGpXwyaVLuOBk3rwPX0hv9OwVtNgoOvk0pQJkvEtwB+Hfjd+cIXcc4L\n", "q8wbdgjhQ+BPLPbYvQT8CPhp4F+w3H09zvy+QnlV3qQx5P7jctz5pnVlHJL6waBJtevabu/Lj+cM\n", "8OdI5UI7kKK68zHGRwuM49g37IPZsIkyY90Cfn/++jSpzdAi93WFnHWbcc2hoHEjxnj5yNhra8Ap\n", "SW2wT5Nql4OBLm0nseTu88+B/5ocMP06CwRMkB6XGOPzfMy6f7ln0k/nb8s8dv9N/vMLpIBp0fu6\n", "R9oOpVhfoSYacEpSW5xpUiO6tJ1ERenCbeCvxhjvVjWuaYdnw/5n4L+k3GN3gTRB9wXgByx5X7MT\n", "668mDTgvpLFeI+23NwnWtkmB3/ukDtk8BN6ILWyXI0mLcKZJjYjd2k6iit3nf39dAVM2NRv2X5Bq\n", "x8s8drsAP0oB02mWuK+Tppe7M7ZIuRRjvDwV9NwBLnx2o+OJ1/K5B+S066w23JLUWQZNJdW1s/xI\n", "dGI7iQ6mCwvI8Ujxxw7gb6c/fk/+dqH7+kFeEbfKkS1SjhSsL7pn3VoujG+dr21JJzE9V5CFrdVY\n", "ZNl9TePoTLrwmPHNKFZ/SoohN6aunPnYQZoN+mPA/fItB8rf1+VWI57cqqBOvrYlFdZ2o6iuH8zY\n", "guJUPrAZ3jKPa+vbSdDy9h4FxndMJ/DNmLYAOTv1/+9sPveLk3NH9qwr2tyy/H2lo81LC4y74BY6\n", "vrY9PDzS4UzTHNOFrYXKWi1sLa3NPjmHC5dfIT3DNzj8DN8mPcM70PDze/JsWCSVZ0F6CB9zdIbo\n", "8H38HPBbVH1fu9iH6yQWrUtahEHTHHnp9Np55ldpPCaV5+ZKkkP9atRtXUkXHmfyfzAVTs/7Xzi3\n", "Z9KM+zix/H3tadBU8HE99Or2tS2NnEHTMSaf8hfZeIK0qsg6iB7p6rYaVc6GTd3Hq6QOndOekwKr\n", "0ve1a81LT7LcFjq+tqUxc/Xc8W5Aeos66Vcq+ZprR26r/ogxfhwLrBJrYVxPgDeAjfSm/S4p0Hg5\n", "H+fzudSegTkppKn7eJaD+zg5zi56X3Ow04vViDkI/eX03UKvbl/b0og50zTD9CfnhT43N/zJWePQ\n", "1dmwPLZOr0aEo7N20IdZMUndYtA0w6RGY8keyo3WaGg8mi6eL/rvVVF/VaeD8UGf6q8kdYfpOaln\n", "YjJvz7pKhBAu5f5LO6S+RXvATghh/ZiGlJ1oXjrLQfPNV5r45yQNlDNNM5ie05jlNNYdFlhR2NXV\n", "iAfNN78B/Hek+M/0nKRynGmaYbqwdaGy1la22ZCWN1X3k7dEuUkKLj7Jx1Y+t0q6ho9yoARAjPFp\n", "TrddoviedXXfp0CqA+OgJAyWKVp3yxVpnJxpOkbZlgOHylobKmyVqlZ1/6I2m5dOjeFIH6lN4GdY\n", "sGj9F4H/HLdckUbJoGmOos0tD5W12gBPPTXU/kWzm29eJmUIS726fx34iYOftZ92lNQs03PzvQk8\n", "LLGvfGOFrVINcg+iwfUvegHspeBm8gq+Q3pVF351fwr8xCIpS0nD4UzTCWYVth6zr7yfMNVbfevq\n", "XdZBIfhN4J189inpM87G1JUzX92fph+45Yo0dgZNBXW5saC0rD7uH1fG/NTjx6RC77uklzSkcqUf\n", "AL+Zvx9WylLSYkzPFdTVbTYknSzGuAlswDPSbNDjqZ9eBL5J+tke8GvAF8kB0/fSNYNLWUpagDNN\n", "kgafnoOFNz/+3Qz4MZFUjjNNknq16e6iFtj8+GvASkpZFg2YyNeegpTGPz3/Wkl94kyTJKAfm+5W\n", "pUiN4tDrvCSVZ9AkaV/XN92t2rzmm2NIWUoqx/ScpGmd3XS3DvM2Px5DylJSOc40STqkq5vutmFM\n", "KUtJJ3OmSdIhXdx0ty3zWxUcNUlZpkJyAyZpeJxpkjRXFzbdbdOCrQreGHpAKY2RQZMkncCUpSQw\n", "aOqEsX+Sl/rC7ZSkcTNoalEuMp38Al7Jp/dIv4BvjfUXsEGkuq4r/0e7Mg5pLCwEb0EI4Vzuh3Mf\n", "uM5+1+FTpK+5DmyGEO7ltMAohBAu5d3od0jB4x6wE0JYz5/wpU6Y16qgCb5WpHY409Sww0Wlq6Si\n", "0rc5XFT6Hqmo9BmMoKg0PyZ3sF5EmsvXitQuZ5qadwe4kDoGPwDe4XCn4dfyuQfkrsIXSAWogzQV\n", "RK6lIPImqWniJ/nYyudWSdfwUV9n30JyJh+h7fGoX8b0WpG6ypmmBpVvlPeYFDPtQOqLM7gap+Lb\n", "djwm9cnp37Yd1q6pCmN4rUhd50xTs26kP65xcsBEvubakdsORw4m8qfmeW8C5J99SOqTw1of6jas\n", "XVNVhv5akfrCoKkhOR1zJX33dolb7sdKVwaY0hlsEGkqRRUb7GtF6hPTcw0JIZwB9tIswyclb/0y\n", "uchzJcb4vOqxtWHoO8gPOZXiMvdmDf21IvWJM01qy2n201VF3wTI156C1Fjw9Pxr2zHUVIrL3Fsz\n", "2NeK1DcGTc15AeylGaPtEjfbZmqj1Bc1jEvVG1QqxdosSUoMmhqSp8bvpu/eK3HL25Mv7g5sen2Q\n", "QeTQateszeqEQb5WpD4yaGpWjoDeJ9WynORRvhaAW8v+413qEzTgIHJoqRT7irVswK8VqXcMmhoU\n", "Y9wENlKn768yP3B6BHyN3KNpI8b4nUX/3Q7XorQaRGq+odZm9ZSvFakDDJqa9ybwMKU1LpBSG9NT\n", "7tv53OvkFVUPgauL/ENdr0VpK4is2ZBSKYOqzeqzgb5WpN4xaGpYjPEJ8AawkX6pvUtKa7ycj/P5\n", "XPqFx4L7zvWoFqWxILIJQ0mlDK02ayAG9VqR+sg+TS3KKYzJ9hpn8+ld0pvu7WW21+hTn6AcrH3A\n", "QDYhLb9dziPSG90OwMUuzAzYV6ybhvZakfrGoKkDqm4W2Nc97uoMIptWPGidpFK61dzSoKnbhvRa\n", "kfrEoGmActH39TRV/07BW90kpQVZjzG+VdfYihhCx+mp9OiFVBx9jfQeN1l5tk1Kyb1PDlYfsmAq\n", "tg52oe6HIbxWpD4xaBoY3+y6o++plL4H35JUNYOmgTGt0j19TaUMoTZLkqpk0DQwBk3d1cdUSt9r\n", "sySpSrYcGJ4h9QkalJg8z0fnA6as18vcu9QFX1L/GTQNzFD6BKkbmuorVrUOd8GXVKGmPxj1Pj3X\n", "x5RH3axFUR36UJuVVy3eYar4fmbpfUeL7yUVk9/nJr+PVvLpPdLvo1t1/T7qbdDU1gPWF9aiqC5d\n", "/aAy3eZhldTk4W0ON3l4j9Tk4Vk61ak2D5JO1vYHo94FTW0/YH3R9z5BUlmTDwqleuD7QUHqjS58\n", "MOpV0NSFB6xP+t4nSCpqkpJeqAd+i13wJRXXhQ9GfSsEvwNcOE/6xfgOh1s3vpbPPSC3aUy/Fz9o\n", "dIQdEmN8mv+zXALWgd0ULO2vklsnvWFcNmBSz92A9EHqpICJfM21I7eV1F35g9HaKvMDJvLPPiTl\n", "WIC1Khd/9GamyU+Sy+tqLYq0jOku+Av1wLcLvtR5kx0KFtqfoMIdCvo009TaJ8mh9HrpaZ8g6SSn\n", "gZVTFA+YyNfmZPVZDj5MSOqY/L57BVJJTlFTb/xXqnrv7kXQ1NYDZq8XSZJa15kPRr1Iz022Bllq\n", "Y5ASW4O4Qk/qD9Nz0rA1HQPM04uZpiZNrdBbWyXlRLdIT9Qn+eubpLaRpKDqo7xKTccYSnpT3TTd\n", "BX+hHvh2wZe67gWwt/DmYBVuD9aXoKnJB8wVehUxvakG3YbUbuRxgYsf5WuzW7WMSFIluvTBqBdB\n", "U1MPWBNLGscw6xJCOJf7adwHrpNz0TnFuZLPbYYQ7jlLpyrEGDeBjWek/izzAqdJD/y8snbDbYOk\n", "XujEB6NeBE1ZEw9YbSv0xjLrYnpTLXoTeLhFmv69yeGZ6e187nX2m949BK42OkJJC+nKB6NeFIJP\n", "FO0Gemg3tYLdQOsqJh1bUXkXOrZqvGZ1wR/y600ak+ldQQptDuY2KtU8YLOaPNZRnb/oti/Ab06P\n", "reRwWmMDUnVFnr2dbOh9Np/eJaX5b/t/Teqntj8Y9SpoguUesPymPvlFupJP75F+kf73wD+tOGgq\n", "POvyFeC76dsfAZ8/MrZbffgl35WOrdKEXfClYWrrg1HvgqaJMg9YiRTZj4DPV5GeKzrr8oRUiLEx\n", "da6P6QR75UjqOoPo4Wn6Oe1TIfghMcaP88zEKmnWaIX0pvvWjICpaGHy56GyFXonFpU/Ic0wbeR/\n", "v+dF053p2CpJ08ayEGeMmt4erLczTUUtkiIrWpPziLQSJ9fkXJxU6BeddblMCpiGUDTdpY6tkgTj\n", "W4ij+vV2pqmIsn2Xvg28RCrKXnJJ44mzLpsczDDV1ROqYZ3p2CpJtj9RHQYdNLFA36U/l7+uu9fL\n", "JK1XR0+oNnSpY6sk4e4OqsFg03MVFCb/kDTxBJSb0j3p346kWaM9UuA1lKLpsi0HjktvStIybH+i\n", "ugx5pmnZwuSXgD8CrAO7n3IojbROemFdnpUDP2nW5QUpYBpa0XRXOrZKGr3adnfQuA15pqmywuRF\n", "ljTO+6TznLTUb4hF013o2CppvGx/ojoNOWhq/YUTQvgW8MePro4banpuou2OrZLGy5W8qtNg03Nt\n", "FybnGZcvwmeLygOpI2dbY6tbjPFpbotwiQXSm5IkddFgZ5qg3cLkSX+o30uKnP7J1M9OAb8F/AbL\n", "94TqA7vwSmpKF7IMGq7BzjRBe4XJ0/2h/iHwj0l9mb5OquD+lBQwfZ5KekJ1XtMdWyWNV9tZBg3b\n", "oIOm7E3gYd19l474zMqNi8A3SUHSpIf/9/OYGh6bJLUuJGfyESr+629DWnAy7wPpxKN8bfaPKh7L\n", "YNX8HHbSoNNzE00WJpedGn5KioL6vmGvJBWRZ+Inm62v5NN7pNmhW1X1SCq6hdZkJn/r8Gl/387R\n", "1HPYRaMImiby9iOTJ/psPr1LeqJvV/FEL7py42PgDwE/Ony60rFJUlua3geubPuT3wf8HPBLpIwA\n", "tkP5DPfyG1nQNFFnYXJFy11/O6kHpkXTknpvOoBZJQUwb3M4gHmPFMBUGbAUzTKs5YtepR8bpLeh\n", "reewa0YZNNXJlRuSdFjRVFldAUsI4Rc5sq/cWVLK4Qap5vToONxW5bC2n8OuGEMheKNcuSFJB6ZX\n", "E897syX/7ENS819gLZdUVOHnAL7BwUKcZ6TFObP+AbdVOawjz2EnGDTVY5mVG7dqGZEktaPVfeDy\n", "7P+VyV92Jh8nLfWa+oevjGVl2Bzu5ZeZnqvJgis3KpnKtJmkpC7oQrmC26ospwvPYZc401SfxvtD\n", "hRAuhRDWSf/BJ7PQOyGE9aFNkUrqhdPAyimKv9mSr80F22c5+ACodvgcTnGmqUZN9YdyGaikLurC\n", "LI8zJcvpwnPYJc401aiJjWunloGurZJmr7ZI/7k/yV/fJO1xRwqqPsrBnCTV7QWw9ymHZ9pPss2h\n", "35MvlhmAi3OW1vpz2CUGTQ2IMX4cY3yLFLus5GM1xvhWBUtZ7wAXzpM2/n2Hw5+kXsvnHrD/qekC\n", "R5beSlIdOhSwuDhnQR16DjvB9FyP5WWg91dJQdFJqxrsPSKpaWV/Tz0i1Xrm31MXq9qgvM3FOX3X\n", "leewC5xpaljFGxy6DFRSp8UYN4GNZ6Smh/NmeiYBS36z3aj4zbaNzdsHoUPPYeucaWpI1RscWtwo\n", "qS/K7gNHTVtwNLl5+9B05Tlsm0FTzepa2eaKBkl90qWApYnN24eoS89hWwyaalTnBocGTZL6qEsB\n", "i42AF9Ol57BpvQia+vofu84NDk3PSeqzvv5e14ExPoedLgTvc4frujc4dBmopD6LyfN8+Luoh8b4\n", "HHYyaAohnMuzNPeB6+QW7jl3upLPbYYQ7nW4UWMTK9vsPSJJJ6h41bJGrHNB0xA6XE/vqv12iduV\n", "3VXbZaCSdLw+ZyvUTZ2raaqzDqgpTRZpuwxUUhe1We/ifpyqS6eCpqF0uG56ZZvLQCV1RdU96Rb4\n", "92tbtSx1LT03lA7XjW5w2MTGwJI0T4dqUd2PU7XpzEzT0JbQ5zz69ZukF2gRN4F305freYPfRf/t\n", "0S0DldSerszuDCVboe7q0kzTafInk6IBE/na/EnmLAeBQhe0trJtjMtAJbWqK7M7Q8lWqKO6NNM0\n", "uA7X7qotaei6MrsztGyFuqlLM02N1gE1xF21JQ1dV2Z3hpatUAd1JmgaYofrGOMT4A1gY4dUr3Se\n", "NDP2cv76XQ56J+EKDkk90lRPOqkrOpOeg/LTvI9IszQ56LjY5YaNY97gUNIwdamswvScmtCZmSYY\n", "dofrGOPHeUXcKmn57QrpBfqWAZMkLWeI2Qp1T6dmmsAO15LUF12b3RlytkLd0KmZJrAOSJK6oMgm\n", "t12b3RlytkLd0LmgCexwLUltWWCT29Z60h3DVcuqTefSc7PY4VqS6rXMJrdd60nnfpyqSydnmo6y\n", "w7Uk1WeqlnRtlTQTs0VaEfdJ/vomaRULKRD56Mj+cZ2a3TFbobr0YqZJklSfojNFj0m1QrNmiro8\n", "u2O2QlUxaJKkEat6GxR70mnIepGekyTVptJtUOxJpyFzpkmSRqprfZakrjNokqSRCiF8Efg3XdgG\n", "ReoD03OSNEJ5xdzfb3scUp8YNEnSON0BfvpzpBmj7RMunrbNoeX7L6oemNRVBk2SNDJ5xdzaKvBf\n", "5XNd2AZF6jqDJkkan/0Vc38pn+jQNihSZxk0SdKI5BVzVwDeJrXMXgPc5FY6mavnJGlEQghngL3p\n", "FXNPgK+Q9jZ5hTQDdYODFgTbpJTc++wHTP8C+M/cgkRjY9AkSSMyK2gCeEraDG5j6twx26AAfDHG\n", "+P/UNESps0zPSdK4vAD2jq6YexW4B2wCXyftfzLZ5PYs8KcPLt0F/t9mhip1i0GTJI1IXu12F2av\n", "mLsIfJNU47SXj2fAf3xwiSvmNFqm5yRpZMpu0vsIeJ39eqaLFoBrrJxpkqSRiTFuAhuumJPKMWiS\n", "pHF6E3i4BVwAbnK4xmk7n3sd2EqnHpJqxaXRMj0nSSMVQngV+IDUqgk4dsXcBnDVFgMaO4MmSRq5\n", "EMJFUmumK6TFcpBWyd0FbscYP25rbFKXGDRJkoD9buGn87cvXCUnHWbQJEmSVICF4JIkSQUYNEmS\n", "JBVg0CRJklSAQZMkSVIBBk2SJEkFGDRJkiQVYNAkSZJUgEGTJElSAQZNkiRJBRg0SZIkFWDQJEmS\n", "VIBBkyRJUgEGTZIkSQUYNEmSJBVg0CRJklSAQZMkSVIBBk2SJEkFGDRJkiQVYNAkSZJUgEGTJElS\n", "Af8/kdtAnfkM7nUAAAAASUVORK5CYII=\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,7))\n", "plt.axis('off')\n", "\n", "myplot(X0[0,:],X0[1,:],10,'b')\n", "myplot(X1[0,:],X1[1,:],10,'r')\n", " \n", "plt.xlim(np.min(X1[0,:])-.1,np.max(X1[0,:])+.1)\n", "plt.ylim(np.min(X1[1,:])-.1,np.max(X1[1,:])+.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the optimal transport." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gamma = otransp(C, p0, p1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Show that $\\ga$ is a binary permutation matrix." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAATQAAAE0CAYAAACigc+fAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAABWFJREFUeJzt3VGu00AUBUGM2P+Wwwc/CBLzYmJ7pqdqARCeUetKPoTt\n", "8Xh8Ayj4fvcHAPgUQQMyBA3IEDQgQ9CADEEDMgQNyPhx1i+8bZuBGwxob3u6bduFn+S4x+Px9IO6\n", "0IAMQQMyBA3IEDQgQ9CAjNPecgJjGulN5qffuLrQgAxBAzIEDcgQNCBD0IAMQQMyzDaALznjH7V/\n", "ekLiQgMyBA3IEDQgQ9CADEEDMgQNyDDbYAiF77mvm+E5uNCADEEDMgQNyBA0IEPQgAxBAzLMNhjC\n", "1ZMAM5EmFxqQIWhAhqABGYIGZAgakCFoQIbZxsJWni7U/3yrcqEBGYIGZAgakCFoQIagARmCBmQM\n", "N9tYeUpwNT9PalxoQIagARmCBmQIGpAhaECGoAEZw802TAnGZ1rDqFxoQIagARmCBmQIGpAhaECG\n", "oAEZw802eG6kqYRpBqNyoQEZggZkCBqQIWhAhqABGYIGZJhtTMJUYk0jzXVm4EIDMgQNyBA0IEPQ\n", "gAxBAzIEDcgw27iY1/C8w9+J97jQgAxBAzIEDcgQNCBD0IAMQQMyzDYuVn8Nb5bCnVxoQIagARmC\n", "BmQIGpAhaECGoAEZZhtxV88oTDO4kwsNyBA0IEPQgAxBAzIEDcgQNCDDbCPOjGJNq37riQsNyBA0\n", "IEPQgAxBAzIEDcgQNCDDbAOCrp5mjDITcaEBGYIGZAgakCFoQIagARmCBmSYbcCkRplK3PH7veJC\n", "AzIEDcgQNCBD0IAMQQMyBA3IMNvgqZEmATznOfzNhQZkCBqQIWhAhqABGYIGZAgakHHabMNr/7l5\n", "RszIhQZkCBqQIWhAhqABGYIGZAgakHHabKPw2t/0BObiQgMyBA3IEDQgQ9CADEEDMgQNyPCfpOw4\n", "Os0w94B7uNCADEEDMgQNyBA0IEPQgAxBAzKmmm3MMocY6bPASlxoQIagARmCBmQIGpAhaECGoAEZ\n", "U802zCGY1SyTo9m50IAMQQMyBA3IEDQgQ9CADEEDMqaabcCsZplmzD4vcaEBGYIGZAgakCFoQIag\n", "ARmCBmSYbcDNRppKzDDN2ONCAzIEDcgQNCBD0IAMQQMyBA3IMNtgaiNNHo6a5XPOwIUGZAgakCFo\n", "QIagARmCBmQIGpCRmW0UXt/zPs+W37nQgAxBAzIEDcgQNCBD0IAMQQMyMrMNr++7THL4KhcakCFo\n", "QIagARmCBmQIGpAhaEBGZrZB19XTDDORebnQgAxBAzIEDcgQNCBD0IAMQQMyzDbgD6YZn3XlDMaF\n", "BmQIGpAhaECGoAEZggZkCBqQYbbBZXyLxZqufLYuNCBD0IAMQQMyBA3IEDQgQ9CAjCVmG+YCY/Cz\n", "5mwuNCBD0IAMQQMyBA3IEDQgQ9CAjCVmG3tzAZMO6HChARmCBmQIGpAhaECGoAEZggZkLDHb2GOa\n", "0WWSsx4XGpAhaECGoAEZggZkCBqQIWhAxvKzjaNMAsbnOazHhQZkCBqQIWhAhqABGYIGZAgakGG2\n", "cZBJAJxrbxr1igsNyBA0IEPQgAxBAzIEDcgQNCDjltmGb6oA/mWvBa8a4kIDMgQNyBA0IEPQgAxB\n", "AzIEDci4ZbZhmvGcOQv8HxcakCFoQIagARmCBmQIGpAhaECG/yRlIEenGeYe8IsLDcgQNCBD0IAM\n", "QQMyBA3IEDQgw2wjwDRjDOYz93OhARmCBmQIGpAhaECGoAEZggZkmG3AG0wzxuZCAzIEDcgQNCBD\n", "0IAMQQMyBA3I2PZeQwPMxIUGZAgakCFoQIagARmCBmQIGpAhaECGoAEZggZkCBqQIWhAhqABGYIG\n", "ZAgakCFoQIagARmCBmQIGpAhaECGoAEZPwFBzIgdUsav1gAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "imageplot(gamma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the optimal assignement." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAk0AAAGiCAYAAAD6APKSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXm8HGWVv58DhIQshMgii2AQNGEJSBRkE3EDEkFEFBFc\n", "hhERXIa4jOP8HHR0XMZx1AFGQaPC6AARRVAgGWQNO0ECEpQERBMW2SFkJyE5vz/O+3ZX163eq7u6\n", "+57n86lUd239dvfNre895/ueI6qK4ziO4ziOU5uNih6A4ziO4zhOP+CiyXEcx3EcpwFcNDmO4ziO\n", "4zSAiybHcRzHcZwGcNHkOI7jOI7TAJsUPQDHcRyn84iIAKPD01XqU6cdp2k80uQ4jjPAiMhUEZkJ\n", "LANWhGWZiMwUkX2KHZ3j9Bfif2w4juMMHiIyAbgAmBa3jQrrNZWHzgFOUNWl3Rqb4/QrHmlyHMcZ\n", "MIJgmgtMGw/MABYCq8OyMGwbb4dPA24UkS2KGKvj9BMeaXIcxxkwRGQ2MG0ycBWwU5XjHgYOx0QU\n", "MEdVp3djfI7Tr7hochzHGSBEZCpw13jgXqoLpsjDwBTM8ARMVdW7Ozk+x+lnPD3nOI4zWJwGcBL1\n", "BRPhmJNS5zqOk41HmhzHcQaEUFZgGTB2ITCpwfMWAZPt4XJgvJcjcJxsXDQ5juMMCCIyBlgxCjN8\n", "p/km8DTwbWDj1L7NKM2qG6uqKzs3SsfpX1w0OY7jDAj1RNMEYCnwLPCy1D4XTY5TH/c0OY7jDA6r\n", "gBVrsJRbmiiUnkttX0RJMC0P13AcJwMXTY7jOANC8CLNAjg3Y3810XRO+eEs9zM5TnVcNDmO4wwW\n", "5wCch5UTSBJF0/OJbUvCsYEfdHBcjtP3uGhyHMcZIFR1PjDnBaxwZVI4pSNNS4AjKNVomqOq93Rn\n", "lI7Tn7hochzHGTxOBBYsxApXzsB8SxPCzvvDtr0oVQNfAJzQ7UE6Tr/hs+ccx3EGkNBL7kISDXs3\n", "BtYPPdQb9jpOg3ikyXEcZwBR1aWhl9xUYCawPCGY1oZtU1V1ugsmx2kMjzQ5juMMA0K18I8CPwR+\n", "pqofLnhIjtN3eKTJcRxnGBBKCTwRnqZrWzqO0wAumhzHcYYPceLchJpHOY6TiYsmx3Gc4UMUTR5p\n", "cpwWcNHkOI4zfIh1LV00OU4LuBHccRxnmCAisZfvOmCkt0xxnObwSJPjOM4wQVXXYA15RwBjCh6O\n", "4/QdLpocx3GGF+5rcpwWcdHkOI4zvPAZdI7TIi6aHMdxhhceaXKcFnHR5DiOM7zwGXSO0yIumhzH\n", "cYYXHmlynBZx0eQ4jjO8cNHkOC3ioslxHGd44aLJcVrERZPjOM7wwmfPOU6LbFL0ABzHcQYVERFg\n", "dHi6qkcqcHukyXFaxCNNjuM4OSMiU0VkJrAMWBGWZSIyU0T2KXZ0PnvOcVrFRZPjOE5OiMgEEZkN\n", "3AWcDIwdBYyy3WPDtvkiMltEtihomB5pcpwWcdHkOI6TAyIyAZgLTBsPzAAWYt1xV4fHM4Dxdvg0\n", "4MaChJOLJsdpEemNFLvjOE5/EyJM0yYDVwE7VTnuYeBwTEQBc1R1ejfGFxGRcVjacKWqju3maztO\n", "v+OiyXEcp01EZCpw13jgXqoLpsjDwBRMuQBTVfXuTo4vSTCnr8UmAo1U1bXdem3H6Xc8Pec4jtM+\n", "pwGcRH3BRDjmpNS53SLM4POyA47TAh5pchzHaYMQuVkGjF0ITGrwvEXAZHu4HBjfzXIEIhKHuruq\n", "3t+t13WcfscjTY7jOO0xmjBLLkswfRp4DXB5avskSrPqxlGu5dQt3AzuOC3goslxHKeDPA48iBVq\n", "6iFcNDlOC7hochzHaY9VwIo1WMotTcy5pX/ZLgLW2MPl4RrdxEWT47SAiybHcZw2CF6kWQDnZuzf\n", "ENbpX7bnlB/OKqC9ihvBHacFXDQ5juO0zzkA52HlBJJE0SSJbUvCsYEfdHBc1fBIk+O0gIsmx3Gc\n", "NlHV+cCcF7DClUnhlE7PLQGOoFSjaY6q3tOdUVbg/eccpwVcNDmO4+TDicCChVjhyhmYbylGmv4W\n", "tu1FqRr4AuCEbg8y4JEmx2kBr9PkOI6TE6GX3IVYbznA/jLdMPTQOcAJqrq0W2NLIiLTgNnAVap6\n", "RBFjcJx+xCNNjuM4OaGqS0MvuanATGB5QjCtDtumqur0ogRTwCNNjtMCHmlyHMfpEKFa+BzM6nSU\n", "ql5R8JAAEJFXAw8AD6nqrkWPx3H6BY80OY7jdIhQSiAGmzKydIXhJQccpwVcNDmO43SW+Hu2l8L6\n", "MTU4QUT8PuA4DeL/WRzHcTpLLNHUM5EmVV0PvICNbXzBw3GcvsFFk+M4TmeJv2d7RjQF3AzuOE3i\n", "oslxHKez9GJ6Dlw0OU7TuGhyHMfpLD2Xngu4aHKcJnHR5DiO01l6PdLkM+gcp0FcNDmO43QWjzQ5\n", "zoDgoslxHKez9GqkyZv2Ok6TuGhyHMfpLD57znEGBBdNjuM4ncXTc44zILhochzH6Sy9mp5z0eQ4\n", "TeKiyXEcp7P0eqTJZ885ToO4aHIcx+ksHmlynAHBRZPjOE5n6dVIk8+ec5wmcdHkOI7TWXp19lxJ\n", "NImI1DzScRzARZPjOE6n6cn0nKquBlYDmwKjCx6O4/QFLpocx3E6S6+m58B9TY7TFC6aHMcZdogx\n", "JiydTk31ZKQp4DPoHKcJXDQ5jjNsEJGpIjITWAasCMsyEZkpIvt06mXD2iNNjtPnuGhyHGfgEZEJ\n", "IjIbuAs4GRg7Chhlu8eGbfNFZLaIbJHzy/eqERx8Bp3jNIWLJscZxnQ5TVUIIjIBmAtMGw/MABZi\n", "DujV4fEMYLwdPg24MWfh1A/pORdNjtMALpocZxhSUJqqKC4ApkwG7gW+B0xK7JwUtt0LTLZNU4AL\n", "c3x9T885zoDgoslxhhEFp6m6johMJUSYrgJ2qnHsTuGYze3ptBzFo0eaHGdAcNHkOMOEHkhTFcFp\n", "ACdRWzBFdgrHJs/NAY80Oc6A4KLJcYYPRaepukrwaB0PcGrG/nlYbjJNQikdn5PPq5eN4F5ywHGa\n", "wEWT4wwDeiRN1W1GE9KPk1I7XgLehoVXnkrtm0QpXTmOfCple3rOcQYEF02OMzzohTRVz3AXsBzY\n", "Gdim8y/Xy+k5LzngOE3goslxBpx6aapqdCBN1W1WASvWAItSO64P67dknLQIWGMPl4drtItHmhxn\n", "QHDR5DiDT9U01XrgW8DnGXpH70CaqquoqgKzAM5N7bsurLNE0znlh7PCNdqllyNNLpocpwkkn98J\n", "juP0KiIyBlgxCpsll0SBMWH7MkwdJdmMUtRlrKqu7OhAO0Dwct01HjO47wS8iLmeVwNPAC9PHL8E\n", "2IuSQXwfVb0nhzH8DdgO2EFV/9bu9fIkRBDXARsDm6rquoKH5Dg9jUeaHGfwqZqmEsqiIW2I7kCa\n", "quuo6nxgzgvA4cDD2Ky51cAeDBVMR1ASTHPyEEyBnk3PhUiaz6BznAZx0eQ4A06tNBWUjdBPYnf1\n", "lWH5QfmQvNJURXEisGAhVkPhH8PGmJpbhNWn2gurVQUsAE7I8fV7OT0HnqJznIZx0eQ4w4NzAM7D\n", "oi1JYrTly1iZgbFhOat8yLUdH10HUdXngUOAOcuAO8L2c7H042TgTMoRJuAQVV2a4xB6NtIU8Bl0\n", "jtMgLpocZxiQlaYCu1veHR5fgzWgS7RViczq97YqqrpUVacDBxIiPuuoSD/OBKaq6vScBRN4pMlx\n", "BgYXTY4zfKhIU50K7A88Gnbuz7BoqzIG+703n3JQbbyqnqKqd9c8s3V6PdLkoslxGsRFk+MME9Jp\n", "qh8CD1D2NE2l9bYqYowJSy/XdIpWputUdWVYOi1mPNLkOAOCiybHGUYk0lQngEWRvhT2PVnlnFpt\n", "VURkqojMxCxBK8KyTERm9mj7lZJo6uJr9nLvOfDZc47TMC6aHGd48hawVil7hA3VRBMMbasiIhNE\n", "ZDbWkeRkQvHM4IUaG7bN7yUvlIhsDrweq+l5cxdf2tNzjjMguGhynGFGuq1Kuk7Tk5hJOk2yrQow\n", "l9AAeAZ944V6I1bEcZ6qLu/i6/Z6es5nzzlOg7hocpzhR0VblXSdpr8DtgB+lzop1VZlymTM7/Q9\n", "WvdCdZkiUnPgkSbHGRhcNDnOMGcCFn55Acur/R9W/vsY4KOUSxIk2RzzOe1U47q1vFAF8eawvr7m\n", "UfnT65EmF02O0yAumhxn+FFqqzIPOBIz+cQdyYN+jM2qmw7cSamuESdRWzBF0l6oNsbcFiKyJfBa\n", "YC1wa5dfvl+M4C6aHKcOLpocZ5iRbKvyDqwEdvxFcGpYH0elN2kOZk6KpNXP3cC/MzSllzr2+ALL\n", "EbwJi/jcqqrpvsWdpl/Scz57znHq4KLJcYYn5wA8g/mO3hg2PhjWBzLUm/Rs2LcplR4mgBuBfwYu\n", "y3ihlBdqdA5jb4WYmuu2nwl6Pz0XK6BPEBG/JzhODfw/iOMMY8ZjvqNXhuf3hfVBiWNS3qRMdg7r\n", "v+Y6ulyJJvBu+5mgxyNNqvoSVmdrI2p/zY4z7HHR5DjDk9Og7E2KZQeexEJBe6cOTnqT1gKLUvsn\n", "hvXijBdaREWPt1UZh3QUEdkW2D289rxuvz69H2kC9zU5TkO4aHKcYUa6ThOURRPArsB3gUdS5yV9\n", "TOek9k0M68UMDackjp3VhZYlWcTU3E2qurabL5z0cBX03hvFRZPjNICLJscZflTUaYJyrSaAlcAX\n", "gMtTJyW8SZwHPJzYtzl2t11DZWXxJeHYwA/aG3bLFFVqAHo8NZfARZPjNICLJmcg6aMGsj1BMtL0\n", "V6xu03trHL8MOJxK4ZT2NS0BjgjHAnNU9Z4chtoKRRW1hP5IzYHPoHOchnDR5AwUfdhAtghKdZqi\n", "Nyl5p9wAHAZsnTop4U0CeHAhVup7RtgXRdOtYdteWNkCYAFwchECVkR2AnbBandm1ensNB5pcpwB\n", "wkWTMxD0YwPZokjWaTo3bEs36z0h47yUj+lWYM4y4EysJMGlYcfnwrYQYXoE01OPUYyAjam5uWGW\n", "WLfpt0iTiybHqcHAiSZPyww/RGQC/dlAtkjOgbI36Y+JHSOBPwOXJLalvEkA78ZqY04FZgLL15f3\n", "raPsI9+RYgVskaUGoPergUe8aa/jNMDAiKai0zIu1grlAvqzgWyRLALLWR1OpaLYA/gKcFF4nvQm\n", "TaOyUKWq3q2qp2Ca9N3hlBeBHYsWsOH/YZF+JvD0nOMMFH0vmopOyxQt1oY7IjKVEGHqwwayhSOY\n", "kEm2Pzk4rB+g0ptUS2mGlF+wMDG2RwTsrsArsMLn99U5tlN4es5xBoi+Fk1FpmWKFmtOiYoijfXo\n", "lQayPcAqYIUC+1IZBol1ARZQ9iZNw1qlPEnNQpUlP/lsekLARj/TDapalGjxSJPjDBB9LZooKC3j\n", "HpreIKtIY5KXgIcytvdIA9lCSZrB03PMk27pk4D5mAjagrqFKkt6dJMGxtAFAVt0ag76L9LkJQcc\n", "pwbS20VqqxPSMneNx0RRvSjDw5hiCjN6pqpqy9OPQ4Rp2mRqp4QexvwiIWcxR1Wnt/qazlBEZAyw\n", "YhQmVpMsAV6PRf4epnznimxGKWIyVlVXdnSgPUr8PzQCc25HvgH8CKvuvZDyHyJLsFRd+D+0T7Lu\n", "UhCfy7AoKzdSbgJci0WU/qBZDozPq2p2GM8TWN3Oyaqa7vzSFcIfWM8BL6hqz/7hJCLbYzMcH1fV\n", "7Ysej+P0Kv0caSokLeMemv5gR0wwPQrcWfBYehVVnQ/MiYJps7B+nnJblCWJdZ1ClaOBsfEXSrpx\n", "7+HA9lQWw4SKKuPjwjXyYndMMD2O2bOKou9mzw3X6KvjNEJfiqZ6aRmoTDFEckrLuIemdxhSpDGy\n", "EXBMePzr1L6iG8j2GKWfydiU7UHKP9vzyCxUmVXGCShH9Bantj+NqZen2htrM5RScwX3fOuL9Jyq\n", "rsb+W4ykrJ8dx0nRl6KJjN5ZSc7HzK0vpLa3+1dtPbF2B5aWSOMems6QVaQxSZz/fgmVLtweaCDb\n", "S+wZH8Q6S5dhZkGAM6goVDkHOERVl2ZcZxWwIl4jHWmKve3SoqmDArYX/EzQP0ZwcDO449SlX0VT\n", "VV4E/hO4BziO7IhTG1QVa48DRwNvA36a2tfBFISTKtKY5I1YK5A/U55v3iMNZHuJE8P6OeAD4fGG\n", "VKHKmZgPcHoVwVQhYGFopCm2ZHk6tb0TAlZENgbeFJ4WLZr6ItIUcNHkOHXoV9FUNS0zEuvOvjVW\n", "e2ZGYl8n0zLbYDmLdcBHsFYS62ue4eRB9OXEIo1J4bQxJmTBUnQ91EC2l4jT8v8PuCk8fgI4Kjy+\n", "TVVPaXDiREkD/Tm1IyvS1EEBuzc2C2yxqi7O8bqt0I+RJp9B5zhV6EvRVC8tszOWYtgU+D5wdtie\n", "w1+1VcXaxsB3sVlHmwDfwW7Yy3APTRc4EViQbiALcGxYn03jvpzhgoiMA7YNT8+irGm2ofwRvrLR\n", "6wUBexWYAf8viX3pSFOHBWyvpObAI02OM1D0pWgKVE3LABxIOU02A/M5tftXbT2xBvBR4Grst86V\n", "wEHAt8q73UPTAVT1eeAQUg1kNwPeFY55loZ8OcONj4f1i6p6h6quwT6mTbDK9gCvEJFGyi5F3k+o\n", "YLA3ZQEbI00P0pyxvEV6STT1y+w58P5zjlOXvhVNtdIykRMxI+sGLGWW01+1NcUawKGYKXwy5qU5\n", "v7zLPTQdQlWXhjpYpQayazCPG+UyRGfV8uUMQ6Kf6Q+JbU+G9Rbh8cbAdo1eMAjY34Oprihg48SJ\n", "y2jYWN4SIjKCcomoopr0JunH9JyLJsepQt+KpkDVtAzh8QvYn83hz7x1wOntvGAjYg2s6dXFwBhK\n", "vy03YH98Ox0k1UB2bFjeF3bvX9jAeoxQdHGP8PRXiV1RNL2ccpmmhlN0gViI/SsEAZsonrmBBozl\n", "bfB67DtfpKp/y/nareDpOccZIPpaNNVKy2wWHp9FaQbdUmAE8DMRGdXmS9cVazOwxqeh1PSz2Gd9\n", "voj8R5jd43QQNVaGat9XYV6y/URkx4KH1iscS/n//+zE9iiatqF10RQrDmycELBRoD3ahLG8FXop\n", "NQceaXKcgaKvRRNUT8skjNczw77dsMDQ/sBP26mX1IhYS6UgdsUyFC8B/wj8OphwnS6gqquw7wHK\n", "NS+HO7Hm6irg/sT2aAZvJ9K0OKwnQskLGK+1TYdrlcXZgL0imvox0uSz5xynCn0vmiJV0jLj41+1\n", "qhqnUa/AzKpfavP1GhJrMQWhqj/EMnrPA+8EbhGRZm9GTuvEwuDvrnnUMEBEdgAOCE9vUdXkDT2P\n", "9FyMNO0cN4SI32qsZNmYJq/XECGCfFB4ekMnXqMF+skI7pEmx6nDwIimSDItk56ppqr3YhW9NwD/\n", "KiLvz+H1aoq11LHXAW/AMnhTgHkicmC7Y3Aa4gqsU8gbRWSbegcPOMdTjoDMTe1LiqZo2WukY1CS\n", "xWE9MbU9WdKgE+yPibJ7VfWZDr1Gs/RTes5nzzlOHQZONNVDVa8EPhOeniciB9Q6vonrVhVrqeMe\n", "xH65X43dPK4XkQ/mMQanOqq6DLgG+5k/us7hg05yiv+tqX15eJoewWq7bi8iIxPbY5mmrYeekgu9\n", "lpqD/kzPuWhynCoMO9EUOAsrtTQSuExEJnbzxcOMoenAf2M1OH8mIt8UkeH6fXSLS8L62JpHDTAi\n", "MhlLKYMJm3mpQzI9Tc34kFT1Jay+pVAZpep0pCmawHuh1ECknyJNLpocpw7D8iYdIkH/QDnac7mI\n", "bN7lMbykqp/CCgyuB76AGcTHdnMcw4zfYp/1W0Vki6IHUxDJlPQ9wWuUpJSeC+J+GdYvccsmX2eI\n", "r4kOiiYRGYNFcDeQ3Te7KPop0rQM+/8xLtS7chwnxbAUTQCqug7r6bsQ6/Q+q8nKx3mN4xyso8RS\n", "LG10s4g06yFxGiD4XOZipbuOqnP4wBGiRcnU3C0Zh5VEUzi+XTP4xMS2TqbnDsa+17t6rHhp3xjB\n", "wx+T0dc0XP+ocJyaDFvRBKU02ZFYHaVpWPu4IsZxDWYQfxArgDkvL6+VM4ThPIvu9Vj5i7XheZZo\n", "WoHNctsMm+XWrhm8K5EmetPPBP2VngNP0TlOTYa1aAJQ1YewFmVrgU+JyCcKGscDmHC6FvOTXC8i\n", "J9Y+y2mBy8L6iGGYCk33eEubwGO0IY9aTbUiTZ0QTb3oZ4L+Ss+Bz6BznJoMe9EEoKo3Y712Ac4U\n", "kcMLGsfzWMTrHMyk/r8i8nU3iOeHqj4G3IZNTT+i4OF0jVCF/vjwdFPgYVV9tMrhedRqWhzWWZGm\n", "XNNzIjIeeB1WPPbmPK+dAx5pcpwBwm/GAVX9GfB1rEHpxSKyR51TOjWOdar6ceCTmCnz/wG/CkZX\n", "Jx+GY4ruUGBbytGeIVGmBB0pcEnn0nOHYL/Lbs8wthdNv0WaXDQ5Tg1cNFXyJax56ebAFSLSqXoy\n", "dVHV72NRpxew1h83e9+03Iii6chUHaFBJqbmHg/rLD9TJI9aTY9jDbK3EZHRYVunjOC9mpqDPjKC\n", "B1w0OU4NXDQlCO0kPgzciXkxLsuhuW8747kam0b9Z+C1mEH8DUWNZ1BQ1b8A9wDjgLcVPJyOE36G\n", "Y22qOCuqlmjK8jQ1ZAQXkakiMpNyg2yAp8O27cPzvPvP9VqT3iSennOcAcJFU4rQ3PVorDjfgcCP\n", "O9xgtN54FmIG8eux9MrcPNq/OMOq0OU0rM3PvZj4WQksqHF8Mj33JDZJYqtaKWIRmSAis4G7gJOB\n", "sYlfLqPDttsw39GIMJ62EZGtgL2wto+353HNnOnX9Jw37XWcDFw0ZaCqj2OlCFYCJwJfLHg8z2HN\n", "fn+EGcQvFJGvukG8LWKK7ugi6nN1mTgLM/ZCvD1U7a5GssDlBqwtClSJNonIBKz+1bTxwAys+NlH\n", "wv4zwragkuJn/aqm3kF1Dg3rW1R1TU7XzBOPNDnOAOE33Sqo6h+w6skK/JuIHFfweNYBpwKnY3+1\n", "noEZ1t0g3hr3Y42TXwa8qeCxdIwws+xI7Oc4iopaJnCo9DRBfV/TBcCUyVgo63vAJMq1BlaHbfdi\n", "UxYD329g+I3Qy34m6L9Ik5cccJwauGiqgapeDnwuPP2fov1EoSnwWcA7sJYHxwI3isgORY6rHwn1\n", "iGKKbpBn0R2DRSfnYoVTobafCSo9TVBDNInIVEKE6SoqQ1Fx2lycRrcTVrY7sL+I7FN39PXpZT8T\n", "eKTJcQYKF031+R4wE/sj+Tci0uwsotxR1f/DDOJ/wZqv3iki+xY7qr4kpuiOGeBUZ5w1dzFWy0ip\n", "7/1JepqgdqTpNICTGJq7i6JpcWJb6gKn1RlHTURkeyyotQL4fTvX6iD9Fmly0eQ4NRjUG0VuhIjE\n", "J7C/ZF+ONfcdV+yoQFXvB/bDIgjbYRGn9xU7qr5jPiYItsNE6EAhItsCb8Wm/i/GDNj3qeoLdU59\n", "HjNsjw8z7zJbqYQJEseD5Y3T3BPWDyW2pQo0Hd/mJIvYOuWmkL7uRbzkgOMMEC6aGiD8Qn4P5oGZ\n", "AlwUKiwXiqo+CxxGORI2S0T+tcjZfv1EEMSDXOjyOOz/+BxshhnUT83F0hvJ6t3VIk2jgbGjsHBP\n", "ml+E9VIslxwvBlZBFiv5MJrW6fXUHPRfei56miYMcPTVcVrG/1M0SGhxciT2l9g7gP8sdkSGqq4F\n", "PgZ8Gvtr9suYeGrnZjScKJUeGECxGVNzF2LlM6C+CTzSdv+5ZKhicVjHSFNOCqJXm/Qm6av0XJhV\n", "uQy7NxQeUXecXsNFUxOo6p+xiMQ6YIaIZGUluk4wiP8XJuqWYxGGuW4Qb4jbgCewyV6vLXYo+SEi\n", "u2D1vVYCl1MWTXUjTYGkr+kRTOfsICIjEsesAlaswUKwabZIPF4c1lE0BQWxPFyjaURkZ8w29Tzw\n", "h1au0SX6LdIEPoPOcarioqlJVHUucEp4+t8i8vYix5NEVecAB2ATll6PVRB/XbGj6m1CKuqy8HSQ\n", "Cl3GAqiXAq8AtsLE4V+rnlFJslbTWqwtykZASYiH9OYsgHMzLpCsjhhfNNU/5VfA6BYjfDHKNFdV\n", "17dwfrfoq0hTwH1NjlMFF00toKrnA/+OWTN+KSK7FTuiMqr6R8wgfhPWtuImEXlvsaPqeQaq9EAQ\n", "IbGg5YXAQeHxrUHoNEK1Wk3pSXLnAJxH2S0eyRJNaysPOQmb+bZMRGY2WYKgH/xM0H9GcHDR5DhV\n", "cdHUOl/ETMTjsea+WxU8nhKq+gzWU+2nwGZYEcwzBtCzkxdzsZTEbr0kgNtgb2Ay1iD3GppPzcHQ\n", "Wk1RE1X4mlR1PjDnBaxkfVI4pdNzS4APJbaNpFTscizWZmW+iMwWkeSpQwg/x/3gZ4L+TM+5aHKc\n", "KrhoapGQ1vkQ1mvrVcClIjKy2FGVCSmVk4HPYr+wv4q1X9ms0IH1IGF25G/C00GINpVqM4X3Voo0\n", "NXGNZmo1nQgsWIhNLZ2BeZySkaZbsOl7iyjnqx7DqoUvpKLNyjSsfEYt4fQaLIr6FPCnBt9PUfRz\n", "es77zzlOChdNbaCqK4F3Yr//DwZ+1EvRnGAQ/y42xhVYTZ25IrJdsSPrSWLpgb72NYVp4tHPdKGI\n", "vAzYDWuhMr+JSzUsmsLM0kOAOcuAM7Ew198ljnkGm5J1KLBL2BZDWZMot1mZbJumYGnFapRapzSR\n", "biwKjzQ5zgDhoqlNVPVvmChZhUWe/rnYEQ1FVa/ADOKLgX2xCuJ5tLAYJK7GhOU+YWZWv/JGzPi9\n", "GJsZeEDYfmeIPjZKU/3nVHWpqk7HKtTPBJanq03OwhrERRX2dGr/Tlgrls3t6bQaP6P9kpqD/ow0\n", "+ew5x6mCi6YcCL6OE7G/Jr8uIu8peEhDUNX7MIP4zdgMqJtFZBBSUbmgqmuAK8PTY4ocS5vE1NxF\n", "IQrTSmoOqvefSxvBK1DVu1X1FCzbNjW579VhHVXYUwxlJ8wdHhjSZiVE0vpJNLkR3HEGCBdNOaGq\n", "lwH/FJ7+rBd7wanq05hB/HysEvMlIvLFXkopFkyp0GWho2gREdkUiDMlY3qrFRM4WCBIga1EZBMS\n", "rVQa+Xl1kBQfAAAgAElEQVQJgu3x5LY4gy6KpifJJqGUstqs7ImVT3iUyg4tvYqn5xxngHDRlC//\n", "CfwEm7H2WxHZseDxDEFVXwT+Hvg89ov8a8D/hh5jw505wIvAgX3q+zocM+8uUNX7QiHK/cK+25q5\n", "UKgM/SyWXtpKVZdhHVE2Y0i5paq8mHyyOKzjyZdh6uc7qZMmUZpVl9VmpRRl6gM/E/Rnes5Fk+NU\n", "wUVTjoRf4h8HbgC2xZr7ji10UBkEg/i3gaMxH88JwA2hweuwRVVXYLYa6M8UXbJtCsA+mMhZFMpQ\n", "NEtTvqYMKjxU6UjT45gq26S5MZXqM4kxJiy9Gi3t50iTz55znBQumnImmG2PBR7E6uVc2AvNfbNQ\n", "1csxz8vDWMuNeSIyMK1EWqQvC10GcX50eDorrFtNzUWq+ZoaFU2rSIiFxWEdI01RxaVd94uwqX6k\n", "2qyENOGh4enh2IS8FbReILMbeKTJcQYIF00dQFWfw/rAPQ8cBXyr2BFVR1XvxWbU3QrsCNwiIu8q\n", "dlSFcjnwEnCoiGxZ9GCa4GgsqnSLqi4O21o1gUeqlR2oaQaPhMjrC/F5OtK0LKzToumc8sNZqRTc\n", "IZQm1/F+YOwomi+Q2eUIVT8awX32nONUwUVTh1DVB7CI00vAZ0XkowUPqSqq+hTwVuDnmIfkUhH5\n", "5x5OeXSMUHPoOqxFzjsLHk4zVKTmwnfXbqSpmQKX1Yjn8Fcs7BRF0+qw3jl18Hnlpz+ID0RkAnAB\n", "wAisGObCcI1GC2SKyFQRmUl3I1T9mJ5bjfnRRnkxXMepxEVTB1HV64FTw9MfiMhbixxPLcKU+w8D\n", "X8B+wX8DmwU4HA3ifVXoUkS2xtJV64Ffhs2vxKpmPwc8kDi2mShL2tOU2UqlDo/GB6uBu6l0kW+F\n", "hYjABNMRlCJQc1T1nsShF2A+Qb6LFcOclNhZq0CmiEwQkdlY9f6TaTFC1SJ9l54L0T1P0TlOBi6a\n", "Ooyq/gT4NuZ3/ZWITKpzSmEEg/i3MD/PSuADmOH25bXPHDguw4Tj20Vk83oH9wDvwSJjV4WyElDZ\n", "pHdDi1GWdj1NUE71rAOrvPl1ykpiIuZhmoG1WVlomxdQjpwhIlOx6BFgb7YaGQUyD8F6C04bT2sR\n", "qjbpx0gTuGhynExcNHWHf8Z6m20BXNnrXplQc+og4BGsovQ8Edm72FF1D1V9EisCuikwveDhNEJ6\n", "1hyUU3PzG4yy3JwhFvJIzy0N6wfAXN1nU1YQd2GRoTMpR5iAQ1R1aeIapdJNuxPCTTVIFcj8X2DK\n", "ZCwK1UyEKif6LtIU8Bl0jpOBi6YuoKrrsYrhd2Ott34dChH2LKr6B6zGz+3YfegWEeknj0+79EWK\n", "TkReifU9XE256TCUI00foLEoy0HAw+F6kbRoegqb2DZBRMY1OMQYaYq+77OxNisKJfG0PGybqqrT\n", "k4IppBCPj89jvYF6JApk7rg5Fn2q5V5vooVLs3ikyXEGCBdNXSLR3Pdv2Cygc3vdaK2qT2DFBC8A\n", "xgCXicjne33cORFF0/QeN8PG5ry/CXWmCCnFKdiN+lVNRFnGAQsSEacK0RS8LqXK4A2OLwqgWOhy\n", "09BmJV77bGC8qp6iqndnnD8aGBt/Ub05tfMcbNrgVantiQKZfLDBwdZr4dIi/Th7Dlw0OU4mLpq6\n", "iKo+igmn1djv588XO6L6BIP4B4EvYqmGbwHni8jIQgfWYVT1YeD32E378IKHU4us1NwbsP/bMp6m\n", "oyzjgCvCruhp2iYhlJs1g8dIUxQNcbJcrF22vJHK3huwH743pbb/DvgtQ5v/JvlI6vkazEf1aMax\n", "dVq4tEK/pue87IDjZOCiqcuo6l1YygTg3/uhaW4wiH8DS1WtAj4EXCsi29Q+s+/p6UKXIjIFiyg9\n", "T2WwJabmOImWoiwHicg+QTAvwyYxRG9Ls76mePNNer/BakqBzfirxSpCdYLdgLQZ8M6wTjd6TBTI\n", "JF2t9U9YZO2ojBer08KlFTw95zgDhIumAlDVX2PmcLC+b68rcjyNEsZ9MPZH+kGYQXxKsaPqKDFF\n", "984e9aDF1NwvQyX6SDSBl+pdJKl29z4t+2m7ZvCYnouf38TwWY4Jz2t2UQlRqEVQTrdFHgcewyJk\n", "r07tiwUyN6as1iLrwnpEvZHnQ79Gmlw0OU4GLpqK41vA+ZSb++5Q7HAaI/hO9gPuwG6ct4rIkcWO\n", "qjOEAqX3YV7ptJ2mUELqaEhqLrTs2R9gJJUeJrACk7sAp2N1FZJ38qQPiHJ6ql3RFCNN47Es2qbA\n", "6yiLiUZuyhuBGdcfTmyMUabXU/mLLFkgcz1BcSWoJZqqtXBpA480Oc4A4aKpIMJf0B8DbsSKEF4u\n", "ImNqn9UbqOrjmIi4CJu2/lsR+dyAGsR7dRbdAZhweQy4KbF9Tyy1NCTCAvaF/RX4IdaROMvXE4jp\n", "qWpNe5s1gm9Buf3cfon9NVO8YZbe7oCuwsxlUTjNC+tkai5VIPMRgHNT13wprLNCXDVauLRKv0ea\n", "vOSA4yRw0VQgIaXybuAhrCP9/4pIX3wnqroaK6NwBnZj+DbwkwE0iEdf07t6rPFyjDJdpKrJG3L0\n", "M70UDc8RJfQhAXYN6+T+pA8oQbsFLmOkaQLl9nPJlO7W1OZgTN/8HliwMJw8A7ghHLAvVQtkfgAs\n", "6pSMUFWLNFVr4dImPnvOcQaIvrhBDzKq+izW3Hcp8C7gm8WOqHGCQfxrWJHmOCPw6tDWY1BYgIna\n", "rUkYrItEREYAx4Wn6UKMcYx3QGWU5V7MBL0lIX9HSWAAFVEWKKen0um5xzABsH2DPq/l4fgxlLVL\n", "0oJUbzJBLM10DVaqY84yrBhmbKh3IlULZN4IzHmByghVlmiq08KlHfo1Peez5xwnAxdNPYCqLsSE\n", "x0vA50UkPUu6p1HVS7CIwGNYp4x5IrJnsaPKh5Ci6bUU3VsxEbcQSN/cown8bKiMssQo03FYvgvK\n", "kaZUlAXK6al0raZ1WK0xAV5Rb6DhGjFFF6+VPK+eaIpesutUdamqTgemArPiAaEAVLUCmSeSilAt\n", "DjtGUL+FSw70e3rORZPjJHDR1COo6rXAx8PTc0Xk0AKH0zSqOh/zqtyJTSu/VUTeUeig8qNUeqBH\n", "fFvxpn5B0ncjIttjn/0y4FfALTHKshjzM4GpiGgQX0hllCXh84npqbSnCVpP0cX1VmG9HtiiWsRK\n", "RCZgAmktcGvcHiYjxOrnczBfXWaBTFV9nlSE6hNh35U01MKlXfo10rQME3qbh8im4zi4aOopVHUm\n", "1sR9E6zVSnomdU+jqn/D6g/+AjMSXy4in+kRodEOd2JRtFcwtCRQVxGR0ZiHG8o6KBKjTLeH1j1H\n", "AcsXAntgpu/tMQd5qADOHZSjLCMpmaST6am0pwlaN4O/ENZxwkOMZmxFNm/CIjW3q2p6Jlv8Hm5X\n", "1ZW1TNupCNVMQt2nEPqp2sIlJ/oy0hR8clHk5tnA2HH6GhdNvcfngcsx4+yVItJX4fFgEH8/8GXs\n", "hvEdYGaP1jlqiHADiSm6ogtdHoVFVu5Q1YdS+6Kf6VYoRVmmAMuj4vgbplj2CM9XUI4whTRXOj2V\n", "9jRB65Gm6DPfGLMWPRGeV0vRlVJzGfuiaLozY18mqnp3aOHysbBpFrVbuORBvxrBwWfQOc4QXDT1\n", "GCFCcALwB8ww+6t+ExzBIP5VzD6zGutkcbWIVIso9AMlX1PBkbOstimRKJqiRxpVXYJNlosz7VlD\n", "uRFcJEaYGJqeKommHFqpjKHc8eSxxONqEweiCbxCNInIJlitJ2hCNCWI6aY1OZUVqEW/pufAfU2O\n", "MwQXTT1IaLx6FPaX+JuBH/RjiktVf4n5SWKT4jtEZPfaZ/UsN2E3+V2xWkhdJ0Qdp2FRi4tT+0Zj\n", "ZSs2EGbOJTgACyY9gKWilqf2X0f19NQKTPhuRjmt1mpV8AnAs+HxMyR626VPEJGXY5/z6oz3sxtW\n", "Q2qxqj7T4BiSROvWSzWPyoe+TM8FfAad46Rw0dSjqOojWHPfNVik5rPFjqg1VPX3mEH8LuBVwG0i\n", "Mq3YUTVPiABG83FRs+iOxaIk16rqE6l9+2Ji4F5VTYuiE8P6JyE9NR5L8X07bL+5WnoqRGLyrNW0\n", "IjxeQe1I06GJsa1N7Ws6NZciRprW1TwqHzzS5DgDhIumHkZV7wQ+GJ7+h4gcXeR4WkVVH8MiTb/E\n", "WoVdISKn92H0rGhfU63UXDSB35LcKCKbU+5NOwtK6dOVWIsYKPvCq1GtlcqODRZjTVYFjw1611Mj\n", "0kTOfqYU3RRN/RxpctHkOClcNPU4qvor4IvYL98LRWSfgofUEmH20/HAV7Cfu//CSiv003TmazHf\n", "9JRuz2wUkVdgs8leBC7NOKTCBJ7gGKyl3I2q+nBqX6xtmW5RlyZdq2kllmYbSf06S1AZaYr+vBHU\n", "Fk2ZfqZAP4mmQTCCu2hynICLpv7gm8DPMR/H5aEeT9+hqhtU9V+x2XVrgFOA34nIloUOrEFCmujy\n", "8LTb0ab3YcL5ClV9IbkjRHsyI02UU3NZ0alY23JSnYhRu7WaklPXNw+Px1ElPRcE4qsx79X81L6R\n", "WJUExVK+rdBNT9MgpOd89pzjBFw09QHBV/JR4GZgB6xBbl80981CVWdhUZPHMe/KHSJSL0XUK5QK\n", "XXb5dWul5iZhN7a/kWizJiLbYtXD12Gp0QqC+HoCi0TVqrmUVaupmRl0SSN4vMY2VI80xdTcXFVN\n", "C5u9sUjR/RnerUbx9FxjeKTJcVK4aOoTVPVFLNXyF2y69c/6pblvFqo6DzOI3w3sAtwuIocVO6qG\n", "uArrybafiOzYjRcMgnIqlhqcnXFIqdRAagr9+7D/43NU9bmhpwGNpejardWUrAQ+NjzePrE9LZo6\n", "mZoDN4I3is+ec5wUfXvTHY6E6dVHYpWV3w18vdgRtYeqPor1qrsEm9E1R0Q+1csG8eDNmhOeHlPr\n", "2Bx5f1hfoqprMvZXS83Vik5FYoquVqSvXdEUI02xTtc6LAIT/U2l9Fz47gdJNHmkyXEGCBdNfYaq\n", "3g+8F5t99AUR+btiR9QewVR8HPA17OfxLKwuVS8bxLvWwDeIiFKvuSqHDTGBB6P6ftjU/suzTgo0\n", "E2nK8jQ10kol3Y4jtHpjK0y4jBORUWHbzuGaz2LVydPsF9btiKYiPE0umhxnAHDR1Ieo6tXAJ8PT\n", "H4nIIUWOp12CQfwMzLT8InAq8H893ELmSuxm/8ZQhLGT7IsV1HwCuCG9U0S2Bl6DFYG8J7ErCq1L\n", "M/q2JWkk0lSr/1wzkabow4vXm8hQM3iMMt0Q2teUEJFxYZzrsIr5reLpucZw0eQ4KVw09Smqei42\n", "bX8EcKmI7FrwkNpGVS/EDOJPYjfP20Wk3nT4rhMM1FdjqZdO186K4mdWKLCZ5oCwnqeq66Dh6FSk\n", "VU9Tw0bwMK6VlFNV8dydGWoGr5Wae124xr3B49cqnp5rjFKpiF5OmTtON3HR1N98Dot6vAwrGNn3\n", "U4NV9Q4suhJ7790uIm8vdlSZdLzQpYhsjNW2guq+pCH95jBx8RpMkFxb52UexqJ724dCmFk8j6Wy\n", "xifSaM9g0a3xIjK+zmvEa0RidGsiCdGU8jNdn3GNPPxM4JGmhghidznWYHlcwcNxnJ7ARVMfEyIP\n", "78e8H5Ow5r697AVqiNBC5mDgMswHM0dEPlHsqIbwGyx68FYR2aLewS3yZiy682fg91WOyTKBxyjT\n", "LzKm7FcQfoYeCE9fU+WYDZTFzdZhm9LaDDqwGZNgkaZkem4y9n6foBwBSxJF07wGXq8W3nuucXwG\n", "neMkcNHU54RaNUdRTmn99yCE0kPT4mOBb2B/6f63iHw/dLgvnDCTcS52Az6qzuGtUpr9liolAJQK\n", "PUYhcXvYloxO1UvNRdr1NTViBk82Ar49rCdSmZ4rpeay3i99FmkK/w9Hhqd9F2kKuK/JcRK4aBoA\n", "VHUJ5q2JVbZnFDuifAgG8S9i/ffWAh/Hok69kobsWKHLkAaLs/MuqnLYVOym/KdEHaY3A9sBD9F4\n", "RKYbtZpWh/Uy4EEsyrMd5ZtyhWhKnxwM7xMxb9T9DbxeLToqmkRkqojMxN5r/L/4FRGZ2YdtkFw0\n", "OU4CF00DQvACfTg8/Y6IdCr60XVU9X+xyuFPAW/DfE6ZqaQuc1lYHyEiY2se2TzTsZYj81U1K1UF\n", "5dRcst9czehUFbpRqyma2J8NKcFoBo9pq62x7xiy/UyvD+v5VQzxzdAR0SQiE0RkNtbe5WRgrAVJ\n", "ARO3JwPzRWR2B1O6eeOiyXESuGgaIFT1YuBLmI/iIhHZu+Ah5Yaq3obV6LkX897cISJvLXhMjwG3\n", "YW1Ijsj58o0UpqwwgaeiU7XOS9NqraZmWqnE3zWxb97isI4CZlfsxrwE+GvG+XnUZ4rk7mkK0c+5\n", "wDSr0zoD+1g/FY74p7BtPHYMN/aJcHLR5DgJXDQNHl/DvCxjsBl12xU8ntwIaciDgN9iBvGrROTU\n", "YkeVf6HLMBvtSMwH84sqxwhDTeDvoH50KouSETx4orJot1ZTFEcrwzoKo9Gpa3Taz5QcS56RpguA\n", "KRasuxf4HqZB41vZNmy7lxDQm0JzwrYovGmv4yRw0TRghBvOyVjK5hXAb0RkdO2z+odgED8G+BaW\n", "+zhHRM4q0CAeRdORien47XIMls6ZG1rNZPEqTMA8jc2uAysOCo0bwAFQ1WVYs9+RVDd110rPNWIE\n", "j4Ut14b14rCO5Qpii5UhqbkgEHtWNInIVEoRpquo/Dhi9jHOzdgpHLM5wLQ+8Dh5pMlxErhoGkBC\n", "f7JjsBvTvsD/9HNz3zTBIP4FzMO1FsuBXFlEukNV/4JV4h4L5JUubCY1d6uqakgPvQMLbcxq4TXr\n", "+ZqyRNPfMK/SdmEmXy1iDagYeomRppju2yyss/xMO4bjnsMaVrdL3pGm02x1EkP1Y3y7yf9+O4Vj\n", "k+f2LF5ywHESDMyN1KlEVZ/CUjzLgPcAXy12RPmjqj/DZlw9DRyGGcSLqIyeW4pORLbFxNc64Fc1\n", "Dk2bwN+NNcC9XlX/1sJL1/M1DfE0hRpQMRK2Y53rbxnWMeSyOKxfgRXXBHiwSmStFGVqwtxei9w8\n", "TSEKFko8ZGWKY6Qp/au2pJWO7/ESIR5pcpwELpoGGFX9I9YMdwPwRRH5YMFDyh1VvQUzCccCn/NE\n", "5M1dHkYsPXB0DmnC92H/L2er6vM1jktXAm8pNZegXqQpy9MEDZjBQ8HVmH6LKcwYadqZcjmCaiUS\n", "8kzNQb6RptHAWHtbWXoznZ6LTCJ8FOMo+7p6ERdNjpPARdOAo6pXAf8Qnv5YRA4ucjydQFUXYyLi\n", "Csyw+jsROaWLQ7gfEx0vw3rntUPd1FxIQ+6BpSbvEpEdsOn6aylHvZqlXqTpaSzXtFVKGDZiBt+R\n", "8u+a6GF6AoswbZXY96cq5/eyaKpDVnqur4iiacsej4g5Tlfo2//JTuOo6veBs7H0zWUiskvBQ8qd\n", "UBn9XcC3sfTLD0Xkv7phEA8po7YLXYbU4n7ACkwAVmN/LHRxV/CvHR+eX6GqS2ucV4uakaaQins2\n", "vM6OiRtoI2bwnROPJ4TrbUicG2tcLSFF8OLFGk29KJpWASusruyijN3vxWbNHZjavgg7h+XhGj1F\n", "okBnTP/uASzr0wKdjpMbLpqGD58B5mDeksv7pEZMU6jqelX9POayXQecjr3XRhrKtkuM8BzThun+\n", "/WF9qarWupHmnZoDS7OtAbZNf16JG2hM0fyFcAOlnH+qFWkaIpoCi8M6fl5ZZvLXYCbyx1T18Xpv\n", "okFy8zQFwRyM9+dmHPFWrD7TXqnt58QHs3LyaeVCRoHOMYndY+nPAp2OkxsumoYJIVJwPPBHYDfg\n", "4kFo7puFqp6PGcSfwYpO3taF6Np8LFKyHRYJaooQuYnip179npIJXER2A/bBikbObvZ1IyHyE0Ml\n", "k8KY0jfQ8PtiBJRvoGeEc2p9vlE0bQBGJUozpItYbp1xbt6pOcg/PRcU0HmULV61WBKOBeAHOY2h\n", "bbILdN6PBajBJon2ZYFOx8kNF03DiFCP50jMn/J24KxB9Smo6s1YqiuKxHki0q7fqNbrKe3Nonst\n", "JlaeBq6tdlBIN74hPL2VsgfqkpCqa4dSii77Bjo97P4pZoGaQTmzxhtq3ECjaIqFLbcQkTGUZ95F\n", "tmEoPS+aVHU+MMd06+HUFk5LMB2/DGCOqt6TxxhyIqNA52TKAcat6dMCnY6TGy6ahhnBNH00ZsI9\n", "lbJJfOBQ1b9iUZnZ2G/+a0TkIx18ySia3l1PjIoxJixCWfxcrKpDbubxeEwIjsEKWj5FYzWdGiVp\n", "Bs+4gb467H4yHPI94Pfx3E1rjCGKpphyfAjzbf1b6rhaoqnR5sON0Akj+InAAvsIp2CCMulxWkQ5\n", "TbcQO7b03RVO7QKdUTRFT3jfFeh0nNxw0TQMCX3cYnW974rIO4ocTycJ0bV3At/FvCw/FpHv1mgX\n", "0g63YrPCJmKRoyEk/EHLMOGwIjyOhXsurHN89DEp8EGsMvjjwA05jD/e5fcn8wYaqw08lThlEuUS\n", "TFVvoK9KXWC0Tbcf8hUckYxWhfRx/Bx/nz64DXLvPRfKQxwCzLGv6kxMcG4Wlslhm0WYgEPaMO13\n", "ghoFOtOiCfqsQKfj5IaLpmGKql4EfAX7GZglIlMKHlLHCAbxz2IenHXAp4Hfisjmtc9s+nU2AJeF\n", "pxUpugx/UKjtMwp7XDLc/ouIbFH9+NJ/2VcD/xMe/1pV1+fwFmKkKQif9A00BoKepJKkz7vyBioi\n", "25dPjCLph1hppk+E56X3tBWVPpk9sTf9YM4CoyMlB1R1qapOB6YCM4Hl5q0vzZKbCUxV1em9JJjq\n", "F+iMoildNqxvCnQ6Tm64aBrefAW4CLtpXxGqUQ8sqvoTzMv1LGbQuVVEXlX7rKYZUnog2x+0EBMO\n", "q7H6oxAmj03Dokk3ZR+/Qzj2BBIFEw/PyZAbG/eGGW7pG2gMFKVFU8XEufQNNMwsG0HZExV9ULeH\n", "dZyAtwlU+mQ64WeKg4EO1WlS1btV9RTsyxsblvGqeoqq3t2J12yTOgU6syJN0EcFOh0nN1w0DWOC\n", "efnvsbvXTlgNp81qn9XfqOpczBf0J6z2zB0i8sYcX2Iu9if5bmFmG2T6g+LNaS1wdXh8OcFgu7uN\n", "LX38I2HZArPQKGFm067k4GkKzZAfs2ebMvQGWk80bQKJG2jwyYTPdn/Kgu95LE11V+o6G4XTS2m+\n", "/cKOvhJNETVWhqVnygo0T6wSkRZNjjP8cNE0zAkzrt6FTet5A3DeIDX3zSI02T0Q85ZsBVwrIifV\n", "Pqvha68DfhOevru2wZaw7XnMIPx24D/D9qzjY53BA7AAIcAnydmQG6JNWff4LE8TiTEOOSeRqtuN\n", "8s13KRZIW5/YNgoTkCcmz+1UpCl3T1OfU6dA58nA77AOP0l6u0Cn43SCgb45Oo2hqk9ipQiWY78Z\n", "v1zsiDqPqr4AHAX8FxZ5+KmIfDsng3iy9EANgy2U61HGiVTREpV1fPSAvx64NDw+jZwNuaGVyTqG\n", "3kC3w26e/5faHiNN6yHcQCt9MmC+p5hBfB64LjyO5Z1igPNd8YTjsUjgeiC3lFb4fgULBOXhA+t7\n", "6hfo3B0T9K9Ibe/NAp2O00lcNDkAqOp9mGDaAHxJRE6sc0rfEwzinwZOwaIOn8NSlO0axK/GZrrt\n", "Q6nKd5bBdjnw2/D4eCxSE+5dmcfHSJNiJY/egGXmcjXkJpRS+gY6Art57pnaXuFpijfQ4JOJv2J2\n", "phxVSoqmFYltAMcQzhmHOcf/WKc6erN0se9cXzEQBTodp9O4aHJKqOoczHUMFnlJN8waSFR1JqYG\n", "nsMibreIyMQ2rrcGuDI8HVPdYPsbzNx9MCY8QpYk8/gVWEXmjbHi41COTuVqyF1YftjoDbTi10jq\n", "BhoDEMlI02PYe0m9HGCfx4bkhryLP7poymCACnQ6Tkdx0eSk+W/sxheb++5c5/iBQFVvwEI3C7FQ\n", "yjwRObiNS/66/iHRu91IjcOHsElYe2Ipso0Z6jHJhRhpWtv4DfR96Q1QUoBJ0RQjTTeH9RjK7z3u\n", "+yqm20sdfo4TkVp97ZrF/UzV6esCnY7TDVw0ORWE1Mrp2J15a6wUQTca3haOqv4Zc1lfhb33a0Xk\n", "wy1ebjZWdZ3qBtt/AT4OvCc8DxmtzOP3xgJhJ2D3+7dRNmbnash9NFxjU+BPjd1AF0HpvVqurrKt\n", "zAjMbx+F0UpsZuCfMI0et4H9SvoeCf/MKGBBjj3OPNJUhQEo0Ok4HcdFkzOE0Nz3OOyutjvwi9Dz\n", "bOAJN4EjgbMw4XC+iHyrWYN4mL5/VXlLlsH2QOD7lPvUJr3TWcdvBFwRHif/wM/PkBsKdMZ6TafT\n", "+A30xnBOMioU3v96rFRCbDUnlGcGboHN/lsb9j2N+Zv+itWtGkf4J77xdnHRVIN+LdDpON3CRZOT\n", "SWJ22TNYjuZ7xY6oe6jqS6p6OuawXg98Hvi1iIxr8lKXlB826g+Ks8eyjl+CTdUfhRmm47bcDbnR\n", "aLRDozdQLH8IlVP+QvRpA/YjFAuYj0gcJlRWFH+KcseUfbAyYgAclFNJBRdNDdCHBTodpyu4aHKq\n", "EuoZvQsLA3xSRD5Z8JC6iqqeCxyGhT7eCdzcpL/mCiyXpo37gz4XHmcdH2fWvRMLvnTMkBvzcJOh\n", "4Rto9DLtkmhCPDFse9Z0WCyTsI5Ks/fExOOnKJdl2pdUFYU8Siq4p6kJBqdAp+Pkg4smpyaqegvw\n", "kfD0TBE5osjxdBtVvQ4ziD+AGXjmicgBDZ77HHA9Fk55tAmD7Z+APw49PtZ0OjR9fN6G3Bhpmpx6\n", "P5k30FDA87Dw9HTKTYhjmOg7mEcuXgkThZFkpOlpKkVTaWYg5FNSwSNNjuO0jPgfD04jiMi/Yc7l\n", "5cCBoa5TntcXytPlV/XaX7Whf9zFmAN7LXCyqv68gfM+hhmUrsLCK9PKe6MYWJM8ZQ5lAXRh5fGZ\n", "zNG403YAACAASURBVAFOyNNfIiKvxQpK3q+qu9c4bgKm5BJjFMyLVPGe7sLCY4+VN/2Fslg6k3Kl\n", "i22xmYGPAfdT9lGVrjdWVVfSIiKyF/AH4D5VHdgm1Y7jdAaPNDmN8mVMNIzDZtRtU+f4hhCRqSIy\n", "E4tMrAjLMhGZmZOHJRfCzKJp2HSvTYGficg3qrWcEWMMFmFR4M2Yy7shg22GIXdt4vKdNuQ+GNa7\n", "VpsAMLQJcQxGbo3VWlpIudErr8PKiCfEzvPlh3wIWIxF1XbDBNPmwGtIzAzMC480OY7TOqrqiy8N\n", "Ldif/HdgIuBWYFQb15qATcvXuIwKC5XLbGCLot97auwfp+RV4lIs+hH3JURR6T3EY7+QOE6wQkVj\n", "CBHfGq+3EeYZUiwNVvP4nN5jfL1XV9kfvrvJCksUXlLYJLzfVQobFDYLz18dP4eHy5/JNQqasfwm\n", "7H9LeH568mdhWbvvHUu1KjCv6J8jX3zxpf8WjzQ5DaOqq4GjsfnjB2BVw5v2mCSjFOOxxMxCLD4R\n", "YxQzsPgFFt25Mcc6PW2jqj/AHNhLMaP8zSIyRURmY6mok4Gxln4bBZZvAvimiMwWkS3UaNRgexA2\n", "3ewR4JoGjs+DCjN4kuwmxBsDO4YjHgGexL7NLYFrCE2Fdyxf5UGySfqZKmYGQj49zjzS5DhOy7ho\n", "cppCVZ/A6hitwPqqndHCZS4ApkwG7sVqGSSbhkwK2+6ldMeeQrl8dk+gqtcA+2N3/72x3iZBSKRl\n", "4HXJU1sRgdHjdJFaHaVuEM3gWf1fqjQhjhMLl2B1lsB8SzuRaCq82lZfIXsmYRRNEynPDCxlCPMo\n", "qeCiyXGclnHR5DSNqt6LCaYNwFdE5Pg6p5SIUYpkjKIaO4VjQvfcab3kcQJQ1UWYcHoW2MQybl9l\n", "qAx8M/D68HgHaEIEisimWKFRKE+f6waZkaYQWQzfd7qpcDXRBIlqASHq9gRDZxIqcHt4/I+YbhtJ\n", "qA6QV0kFF02O47SMiyanJVT1CuCz4en5IrJ/g6eeBkNjFNWoiFHkU6cnbyYCW5o3PHag+RdSTWeB\n", "d4f1GwgysFEReBjmqP4jVlqgW1SLNIVeL1lNhWuJppUEvbRp+fh0pfFRlEsRrMAiTC9CviUVvE6T\n", "4zgt46LJaYczgR9i4YDf1Cv8mIxSpGMUUP1P/4RSyqNOT96E4X0cOBv7L/V14L1UTBbj2LC+Fpst\n", "ljy3JieG9QVd8jJFqnqaqnMAJnFfR1k0vRyYHratTxyb/tWzhsoJghAjTOTb48wjTY7jtIyLJqdl\n", "wk38U5jTdxusFMHmNU4ZDYzNilGswSaYf4xyiCOSKG84jnItp8IZmqr6JHaPH4/1qn0jZooGe3d7\n", "YJGUveMlaorA0Lbl6PD0olwHX5/HMNW3lYhsmdi+CliR3VT4COCnmDc+iqazKX8mM4Bvh+3vw77p\n", "E0h4liIv0rmSCi6aHMdpGRdNTluo6josrLIQ2BOY1Upz3xuxSj0/wir1HInZp3uqwuVQMlJVh2G+\n", "nF2x+pD7AfPCvhhtmkeQgfVE4NFY3uoWVV2c58DrEQRxVEWTUttDP5espsKRKJoWY8GqaPnfLWx/\n", "Plz2AqxtXYWMPkY71+PMRZPjOC3joslpmxAJOBIzRE/D2mZksQpYkRWjOAxTXR/D5MSVwFuxokf/\n", "Qam84fJwjR5nMlbO6s3YRxKLM0Zf02Uk5ODoGtGmUmquA4NshGq+pnNsVa0J8UuJ7ZtTafmfENbJ\n", "4pY7YdGoErlWs0zhnibHcVrGRZOTC6r6EHAM9hf8P4jIxzOOKUUpsmIUk8L2R7A5aNsA9wD/VD7k\n", "fsp33V6gRqrqZZhYuA44JGzbC9gF66/2YjzwKTIqoIeK62/Hbu6/7NQbqEOmr0lV5wNzqjchfpSy\n", "f+nvqbT8x0oL6YxbRWeU97c43kbwSJPjOC3josnJDVW9CSvsCHCWiByWcdg5UD1GAbAVVvxpCRZl\n", "SvyQ7gc8IiJni8iu+Yy6deqnqkYAByeeC+VoE9hsslEAY7HPbX4sfomVGdgYuEpVn8l77A1Sq1bT\n", "icCC7CbEf0kclrb8Z0WaoFyfCeis4d9Fk+M4LeOiyckVVf0Z8A3shv9LEdk9tX8+MKdajCLJk5it\n", "OEzevxPr4zYac1w/ICK/FpGDC55RVydVlebAxOM7yaiBPg2zeMUpdkUW9aw6g06tF98hwJyhpQMO\n", "D0dtxFC9FUXTUioda9H3tQl01vDvoslxnJZx0eR0gjOASzBDyxUisnVq/4nAgqwYBeHxDCyZFUId\n", "C4DDVPXwcMp52E3vGOAm4A4ReV8rBvR2qZ+qSrIE+ELiebxvD6mBPgXrI7IS+E3OQ26GBzFls4uI\n", "jEjv1KFNhUMT4mgXytKyo7DaTa+mssRAjDR1XP+6p8lxnJZx0eTkTmj18SHg99gd8lIRGZnYX4pS\n", "pGMUm4XHZ2LxC1J1elT1PlX9e6yS4tcwp/W+WJrsIRH5jIiM7/y7rKBGqgoqZeAirB8bWFmCJLEG\n", "eumjmquqKykIVV2FqcBNgFfVOO5uVT0FC5WNpZSyXM9QrxdY+u4+yu/zRUwwCkFIdtLw75Emx3Fa\n", "xkWT0xHCDfedmCv4IODHyTRaEEHvwPJV5wHL11AxS65mnR5VfUJVz8CUxqnAA+HxdzDf03fqFdvM\n", "i9qpqrQMnAacH868hKFFFXYkkZnqhf+f0dfURJFLJpYf1ipLEPkDpmFKHv88GvNWw0WT4zgt0wu/\n", "lJ0BRVUfB47C0kwfAP4fWP85EZmJqYhbsTLSgqmJA4HxjdbpUdVVqvpDrADQUcANmCfmM1jk6Rci\n", "sl/Oby1rHFVSVXH2/Huxnr6zsSKQWwF/xiIuSe4hYZI+qAcqoNcygwNDvs8VWD++QCNer5iaWx43\n", "5NGYtxoumhzHaRkXTU5HCU1WT8BCKl8TkfnAXdhssVAYsjSD7O8wEXVlmEHWzOtsUNUrVPXNWM+O\n", "C8JrHod5nm4WkXeLyMb5vLOq40imqraxrSOBi4FYUWATrGo2WLQpSSzJtDH0RgX0qmZwEZkgIrOp\n", "+D5Hpo5qxOt1fVivg/wa81bDPU2O47SMiyan46jqb4Evhaf7wBjM47MQmz2WPYOsWeGUeL35qvoB\n", "zE/1LWyq1kGYQnlARD4lImNbf0cNjUEp+XKygkWx9EBSNK2n3C2lo9quGTIjTSIyAZgLTCu3SFmI\n", "RcqgnDXdiPper0vjhj+TX2PeIYSoXRShhUaaxBgTlqKjiY7jNIh0tweoM1wJEYlp9mxrzCO+U8aR\n", "D2ORiYVgUYfpObz2WCwF+GlMSIEJqR8CZ6vqY+2+RpXXFSxlNdbeT1J3rAX+C4s4vSZsux54C7AD\n", "1vqN5ViqsrD/pCKyfRjMc6q6ZWJ7+D4nU1nxew7WoPdtwNXYxMcDqCxeGToJVhb+VmBbVX2qA+9h\n", "KtYc+XgsognmPv858IMOtWtpZiwrMPN8V8fiOE7zeKTJ6TjhRjHNKhAciFXEPoqEhyVBnEG2OcC0\n", "ZJXsVlHVFap6NjbP/VgsBbgFVmx8sYj8PI/XyXjdGsUvNwU+T1kwQbkk0/ZxQycN0Y3yOPZFvUxE\n", "toLk9zmeSsEE5Z5zUZtOAf6ERRcBWJnwei0Hrgjb5+ctmLLTh6UI3kiGFhTtGNljqUhNd20sjuO0\n", "josmpxucZqu/x+6Rr8GmmJ9Aud1Gkp2wwFDy3PZR1fWq+mtVPQgLf1yM/R/4AHbDuk5EjhSRpv9f\n", "1Ei3NFj88kXgV+Hxn+LGThqiGyLVuDf6msJ3chJDo4Vp0UQ4JhaK50JMJIwFtgNuC9srSoK3S/X0\n", "4SnhiDNIpYNv6pRYqT6W/FPTjuN0GFX1xZeOLZihZzmgsFBBFR5QeJnatk+HbellYdjPMkIauUPj\n", "m4hVlgxjRCn3Dh7dwPmJ2XKl82PJhH3CMbNt+2SFJYn3uEFhRVguCeeOjNeYXfR3l3iPPw9j+kj2\n", "95lcjg3jv6ja97ki4/NSTFTsk+OYq3zmJ4fX+2F4viQcg2Lm8Jl5jqP2WNJLxVh65vv3xRdfykvh\n", "A/BlsBcsL6MwKnWDuEFhRLhBnFvlJjIq3kDGdGGc44HPYuGg+LrPYL2DX55x/ITyzTAuo5JjLt38\n", "sEKc99rzzRXer/BehbGJ4yR5zr3AFkV/d4n3+i9hXN+u/n3GZWp4D7entj+nsJEO/bxEMz6vtt57\n", "ELIK4zNEyofD6/w0JVY2z30c9ceStVSMJVfx5osvvrS/eHrOKYg3YT5ssFRJlr+pe6jqC6r6HWAX\n", "4P2YU31LbHAPi8hPRGRPaCndcjlm4rraAmcXAb/Egi6jMHuNJofzRCffawvUrdVUZj2W8Uym557H\n", "vu8NVH5eUZ+OBv6BHNNTNdKHcdJcsitMMh28Z57jqDOWLDqTmnYcJyeKVm2+DPZC3XTOd6ps7056\n", "rs643whcht3t43iuxbrLapPplt9RijaNV5iReN8/DcfsEPb1VrQJc3MrVnW9zvepCi+qpR7j82ma\n", "/XnNDtvfmPV5tZSeqj++48L1q6UPxyksbnscjY2l2lLsz74vvvhSffFIk9NRVFWpOoMMrHB3VgDj\n", "nPigkBlkatyEmcX/mtj1FmBfi6Z8BHh5jatUzAR8OzDFvNT3Yjaq+L7jrLkvk2raeyG9QWzc+yos\n", "DFPj+wSbGRi98KGfceZMu+j93jesc5k5OZrSzLSsn6usSBPh2FGYxtkqj3HUGctLwKFY+8SHqoyl\n", "J4qbOo6TwEWT0w0anEEWWRKOBQqaQSYiE0XkKaxEd2hWO5KyGNgA/CPlvsHPVLnSTliLPcgWDo8D\n", "12E38ffQiZIL7RDKC5wdnm6M5dpCAcofU//7jOI3Kz01L6z3TWzrdHpqBNYPMF25PE2nx3E9luE9\n", "A9gVm8x5NpB7mSrHcXLERZPTcVQ1hBsaaamxBOvNtgw631IjExGZCNwPbD3UsxTrDf07sBfwJHbj\n", "2wm7ty5iKLFjR5Zw+AUmwKZTblhbvK8lo65QUIsjoBT9WAHsjhWwzEIpVzg/NWNfOtIUKb3l41uo\n", "lr3KBraG7O/iF+GQI1NjWYSdkwzutDWOOmM5FPOafwD7mbod83Vtj2WFS3WsVrXwuo7jdIqi84O+\n", "DI8FUwSJGWSnB+9GnHY/X+EfkjOHCvP0YH/uZ3hwVoSxxZljGxSuSXh2UNhFYX3inA1aniWX5Wt5\n", "fdh3cdO+FkzIjAlLbt6Xyu8q+q8+HMbzzTC2GVr2X22kcGrq/S1U+Hjq80ouS8K+l2ml/ykurc+c\n", "xMoGhDGmr5u1fEZh7/B6H81tHI2PZYWax+pIhU0SP0u8hKm8dwKbFv1/2BdffFEXTb50b8GqcKem\n", "6WcuNxcomE4oi4W0yTstmpLLH8MN95wmzlkU9o1TWNWwcKCB2lBtfgYZdYXODa/zdynhUzJMJ95n\n", "uuxC1nu/VeEVCodVERJtiaYmpvk/rLBpYqxp8dq2aGqy5MDdGZ8fCjyHTTd9E7BR0f+XffFluC6F\n", "D8CX4bWEKMbN9W+0+dTJaWF8C6tHBupFjbKWWqLpy2HfhxsSDjRXG6qlz676Tf76cO39U2OsqCu0\n", "IjGGZcCPsKZzNT6vLLHY/uyxbOGXtSxWmJj47EYqnBm+63xmsTU3lvKsPSxP+0/AH1Lf7yPAfwCv\n", "bWdcvvjiS/NL4QPwZfgsZKZ90imdZNqnuyk6LN0VXnu+ZqeNYkXpRlM/G7RcxDMtHJ5Wi0zdUVc4\n", "5PnZUZnWq0jvUTWd9Hi47oSMz+X0+Jo/avx6tZby9fL5WUumg5Of1+laFnx7aDkFiVrK9eS2x9Ha\n", "WIZ+d1gBqW8Ai1MC6o/AF4Gdi/7/7Ysvw2EpfAC+DJ+l8b+4u99OIkRYfl55QxqlcJDCBxXeqbCt\n", "wiGaHYmptixOiKbWhUMenx3ltN7K1I1Xw7bEvrTA26BlQfZkal/1iAxNp6cWJ8XDa9v8TjPSwVmR\n", "uWkKz4fXv0TLLX4kl3E0N5baUUJs8s5BwPexKZvJc28FPgFsU/T/dV98GdSl8AH4MjyW5m+enW0n\n", "AWyCVf8+FrgvQ0RUWTZWeIs2JmAq0i0tC4d2Pzsy03q1btwbJUREctkv7J+bsa+696dxwVeZnsrx\n", "u94Hi4KtK7/HsWoetPkZ47hdYXTyMzkLGJXzWJYlrh9TmU39nGNTGadjZTGSQvglrDjWB4BxRf/f\n", "98WXQVoKH4Avw2OhgDQNVoxnElYo6XSsEM4crFhj4gaatWynlrIZk9g2QuFnan3UpoRtDadbfteq\n", "cGjzszufUmoo9n5rJL03RYcKpw8pbKbwy4zXqyma2k5P5fQzOAGrj6Bmvq87jscTPycLgD1zHEuu\n", "Mx/DdU4Arkj9bK/C6j4chc/A88WXtpfCB+DL4C/UbSexQWFdxvaGpt2Pxvwe7wI+h1VTvBqr4r2+\n", "tjBidVlE/LNaauYPCo8qfFrL0783V9gmPJ4Wxva8VpYaqJ1uaVU41P/sVin8udZnF26gUfw1k96b\n", "ltq3XCvLKTT1PeWSnsrhZ7GpcQCvw4osKVY86VN5iJwO/3/bCisydVPqPT2LlXE/BJ+B54svLS2F\n", "D8CXwV/CX8GaPYPsboU3qdX/Se/T5M3sDVgq7QtYKeobgEfriKL1WI+Kq7DK4p/Bat7sjpVg1sqU\n", "10sKP1LYOpwvCqcoPKWVKa9kSucKLXuWaqdbWhEOwA7Zn90Gtdo+OyrsFcae/uziVPo446+V9F5W\n", "+iq9NB4RJMf0VJs/kw2PI/z8zkwcdyV94hsCJob/MwtSP2MPA9/CKrT2tAj0xZdeWgofgC+Dv2SL\n", "pifVPCXRbPtKhduCEPg3tZlMB///9s47TI7i6MPvKEsokDE5gwjCFjlHE4QDNjnZ2GBMMsk28NnY\n", "ZIwN2OQocjLZgAGBMTlHkREmSSQhQICyULj6/qjum5652d2Z3Zmdvbuu56lHp92Z3uqe7p7qCr+q\n", "phBZno0Wkr0XjT05DK1QvyJV3BF0cHk9LjDcaXfjBIXBKgcWADHiSvuclO6WjC/s+zuO3bMCGziy\n", "flfUOiYx7mm+X12ifU3D8b5W4rFSLXCbCm6oSp+XMDdTy4Eq7V+Zvk4ARpS9tjL2dRgKZT8utoZe\n", "B/4ALFO2jJ49tzrbtGBPngojU4JiMjAQrkPDLv4FfIu+s/piykZUozeBdw2/5/z9oYjMqXZjdXke\n", "RjEDTQ1alkCTk/6BlrRw6W20mO48aLHeq0wzzASGisi4OuSwNTumS2wxmrpvL4afPIoa2a41/18Y\n", "OBUtudIz1voYYBXz9wA0tGUM0cKxtjTMeDSe2CXb14GEqAdxsiVvxoCWvGlvxMh+ELC7aQQUx+lG\n", "4EIRGZ3QYMtTEARLANcAW5iPzgWOEZGaE7hVKAiCHsCGwF7ArsD8ztdPoYHlt4jIFyWI58lTS5NX\n", "mjzlRkYJWAStQBrnYUCfynf3dy5d0fx7H3A7wEgR+XWOcs4DTNUEut6o4tAPLbH2nOHtUONVXFno\n", "T0zB+wJYJ6vClFLOkSrUqqjO2AtNjOoDHAn8EVPYN4EOQT2SfVHltB/aT8z//wycgSpUc9H4+C1i\n", "bdi+Howa8KzC9TYaOnYlRml8DdhURL4JgmA+9KU7Imynn/k3Mm6jgD1F5Jsaw9ByFARBTzR+7hT0\n", "obyG9uX1UgWrg4Ig6ANsgwaR70CoxM9BkxduAO4UkanlSOjJU2uRV5o8ZSJzSl2MZMVoBcKKtlVo\n", "IJrQti2a9b8CsChRBWUcGm4xGdRllUvhXqPY7YmavAztjIZMnYgaQxZHrTlxJQIcpelt4AQRuTHh\n", "orzkNNawBVFIHlBd5Hz03bYIlS1Aw9D48bjS9BZqYBht7l0feBp9bA+i42ApriBWV36MwvSo/vgQ\n", "1AJ2IFFl62JU2ZoEjrKVYkhajoIgWBtVKlZEB+Uo4IK4xbCzUBAEA1HFaS9UkbLmy+nAnWhf7xeR\n", "2eVI6MlTC1DZ/kHPrcfoZrkM8H30rXcmcAca+2AyziryROBZ1NpwOprJZrPYTCbXylISXs8aqD/O\n", "kfdCgV2c/+8iMLGCXPmU1Ugp62ZROQeZf1cSLWxcKfU/MnZz9F+LOXSCuQ+BZQWeFM2G28t8Np9o\n", "9mCkr1NJH3/VsuClBT6ngajP1PbnbjpJkHiNfi2EmhifjK3vL1Ez48b4DDzP3ZBLF6CzMS0SwJpD\n", "P3qjJp7tgN8AZ5sNfwxqmqimGE0wm+nVqJ9nD2AdYH6n7cOBr831c1HzyHKUgNeDmmoudJS3L2mv\n", "f2czywYKXCXJpVMsN17eI4WsS9ABmfwygc8EFo89h32qjZ0YxVU6FtX9ucAk595ZAjuY7xYR+F+H\n", "vtaa97QYeGmz1zbRIPHPgO3K7k+O47Is6gt+I7YPjAVOA4aVLaNnz83i0gXoLEzBleULkrkvGs37\n", "Q+AIo7jchwZQz6mhGH2CulouRzNrdkGzvgbX+M3tUB+QbecBHFBAmojXg8abHOq8zOYA56AR1FeH\n", "vzVckrGOXK6eJZbDsxoAHI+6QgRVXI3yeoUorEDSc0ocO0GtQUaRCZzPz6vQvxkCW5lrFpdQmUzX\n", "V0qqMddKaxtYkqgl82xyQhJvBUaVyjVQqIIPY/PtVRTaYOmy5fTsuUguXYBWZxJKUPQznPdLvk75\n", "4uCOFwP/RU+BbVWUojY0+OVBNH3sKOCnaDBMB1TnFHKsjOLX2PbfQTGRKoEdForXg7oW3fIoDwCr\n", "oSllL0XHohx3oZGzBxpD8pEj0y3o6f6WqJxLCdwg8IIoFMAg57tB5rM97GeXm5e2+b9FA6/mOpsi\n", "sKY7R/6bsg81ADhHClwgHbGkmufuTLu2G1XgUdf2/xGicr8CrNbsvjVh7HqgIJkXoy55d7weRzMn\n", "FyxbTs+e8+bSBWhlxkFxHgJyBMgYZ9cfYz4bEj1tFVH+YRBag2xn6gd3vABNufqRURzyqqU1H3CW\n", "85KYhCpvfVPen3c5ieVQPAM7Bu+hwa0BGp9lLTkfoFax0sp7oFHYzziyvmReRAuZ5+VYA48WRf8W\n", "h9sEphpuk5g17B3z72wUU8BRnKr11VXEeA2YL0U/qoCXfu60uZ6EMVOWK5dfadbaTldWJtuzR93V\n", "9hnMQNMZO607v0Zf+5h95Z/O+rJz72408aKpz9ez56K4dAFamTGn0KEg4yqbIWScuYYGLBGo22pt\n", "FNfmTygI0BNofEQ1xWg2mpZ0D+p6OpQU4I45jE0vo4TYSuttqJVokZKe1UDgL4TxWFNRt2I/1B13\n", "lzNmV2PcjJRQ3gN141zntD0eTTUbAByNKp5W6TVAhGlq1q0szn2Cgn6undzHqn39r/PCfwoYWKM/\n", "VZSmNoFbRWv5IQq4ebRR9KRMpanwoHUzJy93xvXfwEJlrI8mjusgtFDwKKIhANPQGLvtgd5ly+nZ\n", "c71cugCtyph4kCE1FCZXcRocbhAd3EuopWNB1LqwN3CCeXE+4ygelXgmGoR5J/B31PS9NerC6VXC\n", "2GxJ+ykdQWOfSonrMuO6NxqDZeW5BljMfD+CUPH8BtitQjuFl/cwysUJhKfxmSg65SBgN9T65Spp\n", "q5G6Zt3A+JwZGVd2nD5OTZhjNktuuLl2KcK4lQeoYpmkpntOBL4R+I2E8VXLiJasab57jiYHraPx\n", "gDYp4jNg2zLWSglrc2E0yeSp2Fz7ArWkboTPwPPcybh0AVqVzUtHjkihMFk+LNwU7gR+gYLf3Qi8\n", "YF7Y1RSjaWj8w21ooOX+KFDQkq2ysaCgSq7r6wPUZViK2wF1gbgb8nPA+ua7/ihas/3uEWCpFG3m\n", "nh2Jxn/sTdSdehMK67ABCpRkP38t/lIlvTVM0KD3HTP0sVpG3IqECue/qKKgkzoQ/BlJCGq/tolz\n", "Zj7alcHmBa2bdfyI0+ez6EJB4in6vxxwLIrS6j77saiFePWyZfTsOQ2XLkArMs7JeUxs92wD+Qjk\n", "YZCRIMeA7ATyXZAB1ZUie6J+0bwwbf2LTTDIjmX3u8p4DDaKnOv6+mNZmz7wHeAKZ1w/Q5XUHub7\n", "7xIGgc9G48B6liTrBihulZX1RfPMl0UVavv5BFRRrqaYJFnDZjl//xdYPGf51yC0klxDBQWeTNab\n", "WQJ/dNfFFNTVW+jhgIjVrpJV7GSBNxI+bzxoHQ0S/wPRIPFVy5iXZbHZW7+HYri5yQ92PI4hxeHG\n", "s+eyuHQBWpExMRr9Enb8NpB5aytHYl6IJwI/My/OhVpZMaowDj3RImtuXNVVGNdXCfL0QbP8rNIw\n", "yyhzNj6pBxrsbpW7t4G1SpJ1SRRB2Y7beKPYzUtUAZ2BWiQHZWg7MHNqjDMOvytK6UBdytald0Gl\n", "eUzqOKGxEit0bP9+igIxf4hY65Lir0aZ73oLHCsdA+/zib+iY5D4wZ1tb8jpefRAQVwvJVTMLT8G\n", "HAAsULacnj27XLoArcjVlCYB2Q5kQ5Cfg5wEcgPIcyATiUARdOpsEdQa8mLshbZuSbIEKNbU/xx5\n", "/g2s6FyzGBp7Y7+/uIxnYObOiUTjlk4xytIhaDyHlfFaYMmM7fdAsxOthelNCsCNMr+VhF8kwMsk\n", "x+2ljL+KZiOiMT8mw4/ZKGDigAL64vx2ktI0URS2wfZzeYH7c1eajDwDiVpL76KLB4nXGI++KETJ\n", "TUSrDsw2a333vOeEZ8/1cOkCtCJTxT1XjceEC70U3Jmc+r602bhsXz5CU4bLilsaimbiWHneIoa2\n", "jOJLWayYL4AdSpCzB2pVdAPSb0Tjln5IFPDzMWDtOn5jCRRXy7ZzfhEvEiriF/WW6GcdMwqpMxsR\n", "LVZ3ASG22PvkGDBNe8yVGzRfKWj9CYHVHVl3F3i8kLVNNEh8PLBNs+duqzGaGPFzFIh3rjNnpqIH\n", "jRH4DDzPJXHpArQqU0cg+OHh4i4V4bjO/s4DnOyc8qajmV6lWMzMS/TvRPGfjnQ3S/S0PtLZVO8H\n", "Fi1B1g3RIHQrx/Noba7vonFG9vN3gR3reekSLdPxOfDDgvpSA7/ojLjyk4hfRJ3ZiKgr0M3Ml514\n", "/gAAIABJREFUvIEGYSzokN33K9O2DQRPKp0zS+CvEtbq6xNZ2+SYMIBmKj7q9PkfpMQ56+qMVqU+\n", "lCiemV0D55u11ykPqJ47J5cuQKsyGSEHxhKBHCjEXVJQP5MsJDeQ0W2Uozw9gV8RxrpY/KeFY9et\n", "Q+ium4nWumtqlqF52f3TGbdPgX2AxVF8Hms1+QotY5MZN4uOWD/3NqpE1Pi9FHFJl8QVp4r4RfUo\n", "F2jtwqMJXZxfo0HydT1fOuBIvSihUviqwGYCd1bo6/sCW7h9fQfNcM21nJKZ938kxDZ6mW4WJJ5i\n", "jJZHMexcq62gWbyn+vHy3AwuXYBWZlKCW46lcXDLkvoXR6R+HtiwRHk2JhpH9TiwZuwa+3KxFqjX\n", "aHLBUKPIuFa5Geb/CwPHofARYmQ8C1PIuI7fWZcwYHgminlT2KmaTBlwp8cVp9xxutAMQ9c1+wR1\n", "lCTpqDSJwAjT5iLm374Cjyb0c6wkgIY69+QLgmqe+bvOvDqoyGfeGdko4sOBM4ke9qyyeRQlHfo8\n", "d30uXYBWZhxXxWDU/RYvo3J41MJUSBmVAvq1OBobYOUej1pISsGDomOm2Udo4GcQu25pNB7IXtfU\n", "gqioVe7nsY36n2jc0j6xz/8FrFTn7/REMW2s1eEVmoBjQ+aiu8e6L6t7CpIpQIE/bQbnbNSq0D9j\n", "GzHwza8EhhnZbazWQIHR5vsOQetGQe7j9Hkpgbuk0ZIrCfIOAq50xvZOunGQeI2x6glsbuaum4HX\n", "huJi/Zo6Dy2ePSdx6QK0OpMQ2NpKBXsz9qU/8GdCS8hMFFgudbp7wfLMQDPPOsRRAXsQAoSOp8mo\n", "yih68fPO837OfLYF0QLALwCbNfA7ccXwH81QDJMVi1rcJrC3uwYKs1KadXiR81vvAltnuD9BIfxa\n", "QouTy33inxmFybosnxMY7nz/U4GPpJGSKxVk3i0251P3tzsymoH3E+Bmohl4s4ziuRs+A89zg1y6\n", "AJ2FaUKZjQJlt6f1cY7stwLLlijPTkTLhtwCLJNw7RCiddruoImnbqPEuCCUn6AxYEPNRmw//8h8\n", "Xre1LkExbFomFVXrx4nAKQKXJXw+V8JCwHxDwfF8aODva864X0cs3q3CfVVcjy8J7CtaF8+2O0Ci\n", "2YLx+2YLnCUwj/l+oPn/e9JIyZUEuZciqkT/HR8knmbcBqPW3/uJulWnoCCt21JCCSrPnZ9LF6Cz\n", "MQWU2ShY3rXQ2CC7abwMbF6iPGsADznyvApsUeHajdEyC4Jao37drDFH45ZOIRq3dJJ5iZ1LGFM1\n", "FQ1OrfsEaxRD1116B7Bgk59LFaXpFUd5OEQ0s8z9vq/zPZ8DKxcsa28U5d0+m6/Q5IGqCis1g9wn\n", "C6xl+tFubapRcuVDgZ84/V9TFKIAIacsWjq6a0cDqzRzfnRmRisIHEYUmV9QFP7z0NjOlt/LPbcG\n", "ly6A54IerG4UbgbX50bpKKucyAIoDo899U1Eg1w7nPbMS/Fk59oXin4RO7/dw5xQP3U21xuAFVDU\n", "bRs3MRd1+TQEcYC6+D4wbU5vpmIYk6OGe+4KR5HYTOBz83mkvMj9hFa3pZsg83LObwpqkamYQUUq\n", "8M1fi2M5m1Z9TMYLfGb+vlNgSXNfD3dM8sR0Wg94z5krB/qXfeYxXAFN1ng7pkC9Z/Ycr4x6rsql\n", "C+A55weqfv1jiJYaORMYUpI8vdCsL4sxNAe11CQGZ5pNzZ4I29CYq8yp+nXKurFR0OxG+izqDtrZ\n", "eVkJ8B9gjRzG5URHMXwRGFry3KkRCP60wKJmDJYSdWuFhWxRa9UT5v/vAN9pgswBmjQwwZnvJ1Mh\n", "Doz04JtOTEzfhLGYKbC+wBICL5jPpgj8TqJuPvbKWXEahJYysu033SrZFdjMm7VQd+ensWc/GkXd\n", "X6JsOT23HpcugOecHqRuAj+Nvdzvwik1UoJMWxEWzhUU6DExC8zIvy9hjbMPaSCgOqOcyxBFQf8Y\n", "2Bs92T/hfP4mikbcKJjh8sDTjmL412YphjXkSgE58IlRFqyyYcEfNZYJdTXawPjXaFLmEmpFusR5\n", "Vu8AW1W5vmqMIrAK8CXtlqO5sXH4QmBDZxyuc74bLRC4L+F7SIjXa7C/bpD4p8D3y54/nZVR9+eW\n", "wGXOmNq1+TCKETZf2XJ6bg0uXQDPOTzEjnFCb1Bipg2Kr3O7I8/7aFZLpUKvC6CB6fb6G5uxSaGn\n", "9lPRLEIhREFfGbjekedz1BXSUOCoUQz3IQRG/IgS48sqyJgC3HKmwK6uUvAejtsXLU5tAQifpYnZ\n", "mai78w1HtmuokjhAlRhFFDPJtLOPdEQOnynRWnW/Ew0Qb3dZzkCR7O3cOpocy3+gSQpuvOKZ+CDx\n", "Rse0H3r4vNXZFwS1YN6Blr1JDXfhuetx6QJ4buDh6cvpYqJxQoc0+nJvQJ6BMSVkKgpEWTFlHrVG\n", "WXyjyWgGWqFxGmjc0i8Ji8QKmoW1CuoOtPLPRIvHNuzaRC0hNzu/d3MzFMM65UxRdHeQqzQJWids\n", "PqedJQhjtR6qNgcK6EMfM++si20iasWsp3yN48r7S4IC2SZwoUAvc83WAgfYMbkUWJRo9uWr5AjN\n", "gFpJ/kQYJP4SJbt5uwqjVtNfoIXA3Qy8ycDVwDZl7bWeS5wXZQvguY6Hpi+FIwlNyXOAcygJxA09\n", "re9FFNzxWmDxKvf0RU/G9vonaQIEArAJUdTxZ1DrxAGEcTGCBn8vk9Nvbo5alQS1Mv2iaMWwQXmz\n", "FN39IVokWVCX2KpOO8sTxov8myYXWUXj4/7jyPtoVoWCdpel5UsTFCcRRRNfyFzT7pr7ntPOtkRd\n", "55eQo9KMZoC5QeIHtPIc62xslN8jiNaYFBR09RzUle/Huxtw6QJ4zvCwVDn5AdHMj/soseYSsDbw\n", "lCPP88AGNe5ZFYU+sArfcUWf2FCXoWvp+dgoeiOIunOeBNbL6Tf7oPFKNoPxGWCFsudRBvlTYZOh\n", "bqLRjlK4g/PdaqilR1D09KZmb5o1sydhLcNZaAB+assXEQWyh8BtFRSnJ8WBX5gD7Bhrpz9qibVw\n", "FROMbLm8bFFsoqudZ+WDxIuZUysBxxPWvrT8LgpL4i19XZhLF8BzygelrqP7nAX6tlGgSjndoNXH\n", "XUiDz1CXV0WsHPMCO5jQbfIesH7Bcg4i6nKbbja8dYmmq7+PZsnl9QJbmdCiNddspk21tOQ4hjWx\n", "yYABRN1Qx9u5gBZXtorXpWXMWWB+2rMD29dPIj5Ywr2OyxLR7LirHGWpQ8kVt5zHSfE1YRRJNxbp\n", "AXJUptFsQh8kXvycCtBD4z/omIH3IgpRUtHa7rlzcukCeK7xgHSzP5cwZuEb1DVXSrYVaj35PVFI\n", "g9OBwTXuWwS429lUrqTAAGE01mNfwpplgroMrfVkrjOevyenAFqzke5PWBrmA2CjsudRk+ZGgMJd\n", "WEX6X/YZA5sRKstnlKE4GTk2QbMg7Zy4ihTWGBJdln2kUsFe88K0c+zO+PpA4+r2I7TCzURLCuU1\n", "D5eOKWZnlLVndAc2+81WwBWEwf9i1sJD5lm3dJktzymfddkCeE4+yaM4Poc4m+pcNOi7tMKdqGXL\n", "NUnfTYqitMD2hPFCXwG7FCznpkTrwT1tPjuWMHNtDooGnJv7AljQKAquklYKPlaZDGxHaOl4HWNF\n", "MfPAuqb+VKJ8fdDgaWt9/JKUcWZojNM7MUUpsZwSGihsrU5vJq0VNJnDdamNIaeMSrOH/BkfJN7s\n", "+dUPLRN1G/Ct82y/RbOKd8Zn4HVaLl2A7sxmAx7pvMjF/H0v6h+3nz1Eg2CKDcq5MtFT9hhgRIr7\n", "+gPnx/pREzCOOkvVoAjRLnTBR2jMyN60l8NoP/nnijBuXpDWRD8J2LPs+VUmAysSWnS+xtTRA3Yl\n", "tMAc1gIy/teZFw+nmRdG6Rpl7vmQ6gkPKxBilX1Tad2ghZ/dWMWrSGcBS+M63QB1Pwslos53R0at\n", "jvuaedbmPN9JqLV9a0qq0uC5zmdatgDdkdEYiYTspA7V1aeRM6JwRjmHoIi5s52F/ltSmPmB7zkv\n", "zVnAUdSuDVZJiRxJleKnaADsaYSnumlocPn30cB029ZoUsaxZBijfmhMg/2Nx8kZyLCzsnkutqjx\n", "XNQNGqCuCjtevyxZxgBVqm0G4LdoPFZVN5lRUmwCxBtUyVxF4+osblkb6sLssKbRjNLjnHn8JRon\n", "mHRtprVinsU1zrW3AwuUPUe6EwOLoaEVbtUBQUMIzkZj/7wy2+JcugDdjYkElQ4RLVnxvCgwnq2q\n", "3lucWIlXabIvnDDewrrU2sxmnKaafA/zcpxl7n2rmsLjjEnaFPd5nft6GjnduKVr0HIotzmffYq6\n", "X3I90aEBva8QuvuOzfs3Ojub+XCi8yyuR4PGj3SUqZ1bQM4F0MQG15q6eY175ie0Ij0NzFNjHI5z\n", "2v8nFYo8o9lZDzrXPoqpiVbvWnHa3oMw5uYTqqCmey50vq1s1kXc1fuO+bxm2IPnkp5d2QJ0NyaC\n", "uPy+wCUSxXfZV7QQ6DhzjW6ATZRvI6InoSeAtVLeuzhRd8eFlV4Mzj0JSmQcTPEI812oRKKBxaOd\n", "33oKtSydRaiwTUOtBhVfZnWOUYDW07OBze+SAqaAOt2OXYGBHQlL5LwELIWir4t5XtuVLaORczNC\n", "NHNBA3srWmTMnB9rrr2PGlZYYAdC69BoKlglCS1gLlTCmWhpmkxrJaHtZQjLA7WhiRw+SLyc+Rag\n", "FqaziR7+xOzDRwKLlS2nZ+eZlS1Ad2Iitb1uEvius0A2krDwp+Vx4qQxV7XW5CDbEkRLh3yMnkpT\n", "vdzRwEdblPdz4Ecp70tRtsOORbsS6W4uH6IuzMOd328zL7vcNxs0C/Ae5/cvBwameO6Z3Y5djYHV\n", "CQEYP0eD861rczqwSdkyGjn7ogHU1k32BfDzSmsBtQxZ5eYGaruhVyW0MHxBFYsWas26NPoyXTLL\n", "Wkk8cKFB4scRBom/SM5xfp4zz7teaIzTlUSx0dpQy+O+dMPEklbj0gXoTkw7TswKzga4lMCN0rGu\n", "leWwinxBMvVHM4lsivxMFFsmlXUGLZ3iujVGkbK6PakKxFqeJHCgewqbYeTelaiJ+0EcJOacx+oH\n", "zsvxK2q4lWjQldIV2SgBFqV7NorbdZn5/yRSWjWbJOtKRGs6PkgFtwmwlvOiO6+SghWbGzaYfA5w\n", "aLV70NgmZ87sIWqRliqKU+0DF9Eg8WkoXEa3soK2Ipt9eWc09szNwJuJhh7sRBNLE3l2nk3ZAnQX\n", "RoNBnck/QOAkgelmk2sT+DJh82sv/jk5z80MNQvvRFgfTNDMs2UytLGuo7DMRF1WWbLdjBJ5RJXN\n", "f47ASIGFkxSNR53/jwF+VMSGTx1ZgNTpdix7njZpLfQiWkLnMuAW8/eXlIhwnyCrLbL8pTPPE/GU\n", "0Aw4u8aPS9F2TxQx3o7D5UntmmvNWtlIoL+E8+oigbkV1k66AxcaJH6tI4cPEm8hNnvJfmbfiWfg\n", "XYHiQ/lYymY9j7IF6OqMBoD+gohLaW+Bj5zNrU3gaIGlBd5L2PzaLRO5xOYAw4ieoF8lQ1YZHYuE\n", "vgKsllGGgHZ31ZiEPj8jcJ1EXZgbClwcV56+RPGsCkHbRrMAbZmVVFmA5r563I5Ni11rcExyic1C\n", "3ao2LuxpwuDnT2hCHcKMsi6Iuk3ss3oL2DThuh0JIRUOStn27qh7UtBSO4vFvo+tlfcFRjhrYBXp\n", "6NoXyXrgQuE5bJD4x8CWZY+75w7PaHE0g9mtnylo8fGzUIRybyks8hmULUBXZmBDoinvorACEuMT\n", "zXe9BO4pTGlCM4TOdzb1icBBZKj7RjSIVFBIgswoxuaFa/oW7+9FoqUqXBfmVQLHSnjKRswmUYh1\n", "BlV2f0toORgDrJny3gxuR5Fmxq41OCa5x2ahbi2LofUpISjpe3HloRWYjnhKlxGDG0BdXIJaBXZN\n", "2e5wYJwzDus73yWslTaBm8WxVAqsKvBPgWl17x1ojcYnHfn/hg8Sb0kGhqKhFC6mn5j5eTywYtky\n", "dkUuXYCuyMCSaEConcSfoJkwCZaVM8w1PUSDwyXGjbvn6IgubtGwK2LLVGhnL8KT6KfA1g2MUcKL\n", "YJLAVs7i7yVwvMAFAt9xPu+RixJZRbbF0Hpg9ncuokYWYOz+FG7HOBcbu9bgeBQamwUsDDxm2phJ\n", "GGPzBi1YcBbF5jqBUKH+3KzvwLnmD+a7WRhgzxTtLgQ8Yu77Ftiv8lqxfKnAfLHn0EdgR4FrxSkg\n", "nHqtmP3ieMLD1Qv4FPiWZdQSuR5wDiFMjOXngCOARcuWs6tw6QJ0JUbxZ04gNLXPAE7GZFd1fJle\n", "4Ezuqwp5mQJb0p6mjKAukNUztjEvUSWw4ZgHIi6HN0TdbgOc8fiewA0Cw5zP1jOfNaZE1pDrp4TK\n", "5RekzAJM7leS23GKwFcJnxcTu5bDeDQlNgtF2b7QmWM2hugFatQ1LHFshjpKjqBwGys688BmBk4l\n", "BSSFua83eqCxbZ5nPqsyp0TU6rRYXIm1PAe1KGd6caKW8g9MG9OAX7XS3PSc+Mx6odUJriKagTcX\n", "PQj+Ep+B19gYly1AV2CzQe6Blu2wk/QmYOnYdY7b5kxnU7uwwkY4Vhy3TaaMMNTM7gI8vm8Ugkyx\n", "KGiBU+s2mIYGJOaycdKuRC7gjEUgcJDA9s5nS4u6HdoaViKryDIP0dTu+0iZBZjQjnS0Cswyz3kR\n", "gYMrPO98Y9dyGpemxmahri2Ls2UPH4+SwdLX5PEJzIvILbx7LKoE9iCsKzcRA1CZst19CS1Zj9Ae\n", "qF3Nejlb4B8SHj6CuPLUhuKZHYWpB5hCjiHAdU4bt5HRQu25tLnZH9gFuMNZU3aO3mreBz4DL+u4\n", "li1AZ2cUmOxJZ0K+RBW8GTq4Of5eRWHK/hIyL+1TCIuRTkPjmK4gQywKero9ldBE/xw5+sjRmlwP\n", "Rceir8APJIxnGiTwV4EZDSuRNWRZmzBOZSZwGCmCvauMv6M0tQncJrCS08+NzAsu/sxbS2mipNgs\n", "FGDVJk7YZINRtHBsDR0L776JItP3Bv5tPvsIWCpDm+sT1jMcn/5ZfCiwjassfYoqnjOdzwS1Cp6I\n", "JjvUgkjYi9By8TE5lyPyXPj8nA89kDxMNAPvGzQub0t8Bl66sSxbgM7KaNzLVc7km4BaYapOPNQi\n", "5SgJh0tHd8fh7ssnlbsDPfHuZTY0e+/NRMsxSMryJCsaJUnMAjuFnLLT0JPrGURPPqJxSjbIu6eo\n", "tWmCMy71KZE1ZOmJxp7Y2nqvAcMabNNxz10vsIHTxxUEbpFkTK7Wc89RYmwWCrb6XHSOcHOrb+zm\n", "5fM/R+aRZq943Px/DBnitMy9z5h7zQGmltUvslZmOPdeBPwMBbGdFBvb99Gkjo0rjTFqvbb19tpQ\n", "uISWVWQ9V5xTS6Clrl6KzYFPzBxYq1X2oFbk0gXobIwGgf6RsCTEt2iGSc24C9TXbE3u70UnbP2B\n", "tWaSu9auF4Btqa88ya8IgS7HkRNKs1FQDiAEh2xzfsfhZQTujsmZXYlMIc9SRHGeziYnUzUh5pDh\n", "hQTOF3XRSQVurUBwasZmtQl8XKjyZ9ba1bE5cgV1WgGbOHb90KwmezCYYNaVrVP4HDAoY3tXRMdh\n", "kKQ8cC2OYmJZi90nKGhiH2A74BI6lu+YgLqqt4srRWjMzAn4IPEuwcAqaNxt7H3EGBQxPpUbtztx\n", "6QJ0FjYvkZ2JgkH+C1g+5f2bEsZonGPaG242Jzdgb7L5rKZ7Ay3pcRmhuXUCGgvRg8bLk1yfh3Ji\n", "5NySdgWu3aIzg+ginRz9f3HI2cBuqFna9jmXumeoVeBS54ViXmKTq4y/SFFuxwb7UiVjS0StaP0F\n", "zpGO4Ir5uRnNOjnceekLcAGd4CRsXkiPOXI/Qhgf+AAZoDoI6x2645B6raAuuGed7+/GANmiB5qN\n", "UCvD+7F2JqFJILvglAsy14811+Qa6+i5lLkaoO7g8wgPtpafNWswc4xnV+TSBegMbDacR5xJ9CoZ\n", "gN/QdFAbT3QZsZMyGcEC0VPi7whN7LNQl9cQ833GWJTrxAkanQLsldO4rYgGIdq2P0AtB65PfbzZ\n", "cHvSoBKZQp7BRC0XdwEL5dTuyYSWsznhyzGTK6VlwC2pqTQd5myqW8b6mH9sFop67M6L88seo5Ry\n", "9zDz29ZFnOnsBZndjcDmaFanVWimknKtmDV2sLNvTAOOxnG9m73ou6g1yT3oWNnvQgPfF0Rd7W69\n", "ylvxQeKdnlFr4rbANUTjYOeiJZD2oUUzWpsyPmUL0MqM4sdc6rzkvwQOJBsY5PeArwmtNw3FZADb\n", "EwXXu5uYeZzUsSgzBI6Mn1BvyGHc5kVdAtY9McVswi4o5mzUhdGh2C05IU7H2tyA0AQ93TzHRt1H\n", "fdCaYe7J7HY0Fd1J1R8secWuNXHu13DPicC/RF2Pto9XCbzlvsBztTwAyxFaNwS4rOxxyiD7wkRL\n", "lVhr5MVZxwkFmB3trK1ds6wVYFHgRkeWV4ENKly7PBr/8iTRw85cNJHjUDRxwiq0H1GlALHnzsUo\n", "jM5uwJ1E41BnoGEIP6EOcOPOzKUL0IpsXoa/JzyRzUbRp+fL2M6qhKfC28mgbCW0tRJwjzNp3wZG\n", "JFyXAidossDrAmuYtnoaBauxlx16QjnQ6XMbGovxJ6KZO89So3Zbjs8yXs19NBlSvyu0GZgXlYvE\n", "+ySwUey6eenEBXtJpXxPEPiJ05fl7d9FFZieh6ib6fZ652tJY/p9OiI4n1FHOwNiis/xZIz1QmOW\n", "XHfcJdX2OFTZOhC4nzB5wlW8rOuxDTgNHyTepRitKPFrol4XQY0CI1G0/JaON8xlHMoWoJXYvAx/\n", "TFiEVoyiMrSOtlYgTBe+lzq1cdQE7lptJqGuucQNiapulacElhMFibQv7hUEnpVG3SrmZeCCaD6K\n", "+sFdq9hc4HdNfJ7LEQ2QP73e5+C0uTnRrK4x6GmrWoX6Qt2OBY5fSjdvm8DVosHJ7f07skC5AsI0\n", "fkHr1nWwWLYqo/g5p8QUj6uqzaEq43AMoQXoX2QIMDdtDAD+4sgyAa1BVwuCYD4UBf02EhM6EBTR\n", "3Zfy6IKMVr04Cng59sw/Nu+r4Vnnc2fh0gVoFQZWJ1o64y3qDBAGliY8dT0E9K+jjR5oULeFxW9D\n", "46EWqXFfgtL0rWjdtjjY3X6ilid7XXalCY1bustp9wPUShfDYGIyFVwABTzLAE2tdnFltsphftzt\n", "9Gc8mg2YxVWbu9uxCWOZMqFgrDhWJstXU6AFjWh82gfAcmWPV0b5VyMKT/AydRQqRi1GNrHhderI\n", "eDKyPO7I8kDadozitQOq+H1FdA60oUjpW2RZK547D5u5cwodkwjeAv5MymSpzsKlC1A2Exaxte6b\n", "r1EffV24RKgJ21qqnqKOEzBavuAFZ/I9CayV8t6Ye+5NgTVjL7P5RQEXxeHMFdHnRbNt3LilU4gG\n", "etu4jfdpUlqykeufTn9vpYGSLyimyRVOX6aYjaDTWDYaHM96YrOOJswU/Qj4fkGyBehBwv72pPhv\n", "0eKKKno4utnpw0zUepRp/0EPL286e1iqencJssSD1v9Mtiy/3mjQ/qXOHLA80aylH+GRqLscm7W2\n", "gXmffhF79s+g8W9VD/2dgUsXoMQH3NsoR3aDmIumMtddIBRFBX7DtPciGU/Z5gXtZqN8TApTeUI7\n", "JhZlM3EKdhreSpLxddLhBKExQgcR1gZrQ0+YZxCa6WcTQgo836yFgsI6WAvfVNRSV2981rxoXMYM\n", "p0/nAwuXPXebzdQRm4XG4D3jfHceBZRCMRu1i2E0FzgSdS2OJAMKfsljfF5sLCsGZ1dpYzAasGvH\n", "4ff1zH80aP0aR5a3gM3qaKcH0cLGLk9FA4n3wNdC63Js3q8j0OQHN8NzDlqi6ufklIFHkw9GpQ9u\n", "GQOGmrPfdB7kA2QsYpvQ5nyEGS2vkw31tx9ar8oqHTPRFPa6UrZN/2KbVB/RendxTB2RtDhBwNam\n", "b/baR9AA1E+cz552Nsl/19uHjP21JV+shavuki9AX7Qq+ESnTzfX215XYjLGZqEK9rGE8TJvk7Jw\n", "bUa5ehItKB3hfoZjn7dU8L3Zxy4naqFtQ4sYp5YTVVROdPp5PXWEB5i2tiQak3hlln3NaWc5sy/Y\n", "Po2PPYtZaJmcX9MFLBGeOzz/eYDd0TAON45vBlqjdQfqSBqgpINR6QPawIPIPGDAykQz0N5BA78b\n", "TT0fRHiq/h8pQcDMRvlTor7g26gjrsFpc3dCiAPDKwiMTlCWRNLgBJlxcwNv30cz0kY7nz2PgnZa\n", "xeVimhDDQE4lX8zLZk+i4KWPUsBLvrMz2XHFhhMmCcw1zyjXzCpUcR7lzvtFQB5xJvsYkCNAhkSt\n", "Oa2kOPVCg7ntXmZfMOPRbM3U+xSwI+EJ/0Uy1LyLtdMXPRjZg9CXKE5TVut3bxRixCqEL6MHw0eJ\n", "gMHShsZW/baRfdBzazIaDnMAUdBXQT0+lwKbUSMDDzVQRCzfzTwYlT6IdQx65gEz95zlbEKTUNN1\n", "w/gSaBDkI6bdscCSKe9bnWhduNfIAJhZYVwqnLZTl1yYN6HNfzjjNhl1w7kB0R+iWTR/dz77Q9ZN\n", "tY7+Bmj8hX0x1F3yBY3BeNGR/w3gh0X3oTsxak09nVCpHk2D1t2E37jPPsOejuL0ROykMA5kqLNP\n", "lD02CeP0iDOn3UzNezAo3inbWp0Qm+xzYNMG5Foptl89Sh3QHcAmRF3ov0TDGvYz+0rclTcaPaAN\n", "8+uxazFayuoYwvJClj8ye0WHQtI4MZZDzCFoTJMPRqUPXMZBrmfAjiQafzOSnEzA6CnsftP2J6TI\n", "3gHmR2Nj7OnqK+AQGsNw+j7RQr2CZt3tQh04QeiJ9+DYuF2NBt1aBWoKWoNvXtTEKua7nzVhHiyA\n", "WuSs/DfUszBQ5OP7nHY+MZu3z/Ip7tlt4rzIv0XTlhsuwouBRxgMMtw8zwHm394glyREx5CMAAAg\n", "AElEQVQoToPD595SMU4ozIgtpvoSGntps+OmmzFLZU01+81/nPV5cL3KB3pQ2ZsQzHUWai3K5P6j\n", "Y7LGzRh8KDQuazcUg8r1IgjqGTgdDTbu8nhA3YlRBf8vRMFrBQ2jOda+W+37bKhZw1KBizwYlT5Y\n", "GQc29YAtGR14ezLKbXNEzc22RMjn1MBychQRGyszF1WeGsns6o8Wmo339W6cgGUyxKKgRYXfcK57\n", "BLU2fePIfQla925+QjPrJBpM60/Z560IY6gmU0fJF/SE42b5TUKtY7kHKntOHP+BqPvWzrHHaTAt\n", "GZP8cATIRJBhpu2FnHVxIMi3zj5xePhdSxRJjvVnEcIs3IdRGBNX0XiFlK5js/ec6dw7kgas7Gbd\n", "j3TaexfYOmMbARoMbBWjD4kFm6OH0u3Rw1o8G+tT4CI0zrKuTGfPrcdmXmyEJmV9GXvmrwAyqMb7\n", "v+iDUemDlGEw1wS1IlUbsHdBftJRiagri6SKLD0J0Xi/Ataocf0WROs4PQgMy2E83oz1cwaa2ZbY\n", "V6rEoqBxS67b7V30VOfGW92HcamgpRzeMp9/XGsMchjzvqhr0MryJBljHlBL5RmE6OSzUKWz7oxJ\n", "zw090xGEALBT0ViHerK92mE2rOV5PMgKZq6sANLH/L0xyGfmmjHRA0TLuX7MGrPjczuq/Lgo3m3o\n", "wStV9hmwF2E26JPAog3KtzHRxJAbyFjUFS3T8ozTn1NJUILMnrupWa/jiO57X6NZWjvShMQTz81h\n", "1DCxPZrM0A6gGoBsB3INyOQailMRB6PSBybDALafJJMGZxLI0c7mOA/IBjkNWEzZ6EGY4jwZWKfK\n", "fcugOEFWjg/Mwq57gzYb5x/pWMagrvIg6KnxbKJxS+eiGFO27ddxgD5Rhc1mwLxGwSVR0GrxNuh8\n", "DoodkwVUsh/q0nAD5G+gk4EhdkU288+NxRsFLJ6xjXlA4xrdPWEsocV5XZDFzN9LgDxvrnFiIVvy\n", "ZYu6Ley8vczsRQNQOAy7Zj8Fdk6zrwBroVYdQS226zYoXx/g/wgxmb5BS62kdp+Zl+PJhCELz1IF\n", "WNOMwZrmHldpEyPHv1Arli8e3EXYrPEZgPRynnd/kN1A7iJqRbZcxMGo9MFIOWAdTpKW54BchgZ8\n", "2oHcB+STHAaM5Aw9C+Y4A9i4ygM+mdCiMQ31y9aV+uu0u3xMmbGns8zlQVDl6xCi7sLr0ROtbXsC\n", "mgbcy7lvO8Lg64coFvE5QC1n9nT8HrB+hvt7ms3TPZk+CKxd9pz23OFZ7ebMxa+A3TPcm6g0Ccjb\n", "IAubjfY2kA3NPOgHcl0nUJpM/zZ0lJLTnM+HEabyC2opXjpFewsTutVnAvvkIOOyROMnnyKj9Zlo\n", "kPgU4Bdp9m00SP0Yorhg9oD1ABoWsVjZz9FzQ/OrfY1/AXIhajV2n/dWCeu/iINR6YORdcDiA3Km\n", "M2gbgDybw4CRkKHXlzAjx+F4AHWApq27QdnX06AlxrS7v6Os2Ficj6kj4w7Ylmjc0qMoRoxV8mai\n", "ZvLBsfv2JUROv44CC3Kajd2FObiSlHW1zHhtRzQr41XzWcu5YTy3P7dFiUKC3ESKmD+qHKoE5GWQ\n", "u83fM0H277iOW9I9F+vj9oSWpd85n/dALTs25nAaWpuyqiUWtRBd6IzBOTQYG2Sewy6EVug56IEu\n", "y947L9FCxDeRoVA6sDh6GPyvs1dZfgZFq+/2mGudjamgA3wAchrI6iD/8EpT7QETkG9A1gS5HqQt\n", "hwGjQobeCaadXiA/pmNKI2r2fsJZoC8Qq3pfZ98XiSkPlm8lo/kZGBp7Kb1rNs7Pnc+uI4bpYjbD\n", "E5xrTiOb+T0rrs8Iwpp7XwO7ZvitNc2GaWX9ENiHHDK0PBfPhAcEa90dD2yf4r6q7vs4XwTSI5wj\n", "H2ddSyWNzV7OvN4n9t2ihFmsgrqza7rezFhb6/lD5BDfh2b/nU94uBsL/DDjHNiHaJB4ZrgE1PX7\n", "czRhZ4YzNoK69U6mCxeW7UpMjYORoF6n+GfePVdhwJKUpXoHjIQMvdNNOz1AbjafxVIaP3I2iAmo\n", "RabhlFjgJ45CY9u32CZZgO7mR0+SLk7VSKKB5I8nbbJovIGN4ZoLHJThdzMBkKLZgOc61z5Cetyr\n", "ZYnGxnyNxjE15BL1XA6jKNIuAN6lVLE0kjJRxPJYQkgCw++RM25UQeNyuJF3DvCjhO+3J0zbbjPr\n", "qWq5CjRb6TNzzwfAd3OSdV2iALi3kcHqDqyAxjfZvacu4FrT1jxoPOm1hFY5y2NRHL9N8YerlmUy\n", "HowEHwhe+IAlbbznmzYCNFrftv0tyJ+iC282mtZbNZOFFFYXFGH8cqLtC2peTl3B3Cg8hxKtr3cz\n", "IXieoNamnZJkMXJYHKPpwI9T/m49AKTDCFGjZ6MxCjU3MBSz6SzC0/K35jm0vOXAc81n2xN1NVnA\n", "w/epYnEgJSTJ2OiB5yFCYNOpwI5l9zvFuJxi5J2RNB5mb/kboXvqE2okoKB1Ly2Q5jQyWHdryNoL\n", "xcqzoQVTUNypVMqJ2cNOITw0Pkvj8BR9UGiVi+hY0uVz9F2zPTmAH3vOj6njYORADlQsD5ZZjrIH\n", "opUGjJhidoWzmC522r4XZOWOCsBNKeSvaXVB03jdlGKr7JxEhlMWHevrPYae9GyGytdoqYLEjQE1\n", "91uAvc9JjwlTDwDp/xHGU70NrJXidwag2EqTnLG6hhSBsJ47FwOrOYpNG6oU90u4rn3uDTaHpvjc\n", "Ozy6L1jXen/ULW0/P4kWBk9ED14W52oSFSxDKHirGxx9F1XKqaBZplc71/+FnCwvwJKEJWIEDV+o\n", "uc6d+zclzPqbgrrvGna3oDFhG6JQJO/G9vTJKDbWrqSMp/RcLFPfwciDWxYxYMRcgP8kjHmwAWZv\n", "g/zAWVQroUjDzgJLstaktbqMQkEkXUVJUHN56tgoND3f/b13zQvBnvRmo666igG2pg2bxfIO2axb\n", "qQFIV+g4BpdQI/YMtT7sSzTY/n5yPEl4bj1GLQ4nElpP3kh66aJKUOa6VGb9/85Zd3eRUxX2gsaj\n", "J3CLkfUzKlhfzHUHEx4upqKWn8RAcTMOhzvjfA8pcaBSyr0DofIz1+xFqcbZ7KVu3NaN5Ji9a/o+\n", "DC3b8nJsvsxEsxP3AxYq+/l3V6bOg1GuMpQ9CGUMGAkuMpxg8zsIM+VOAZkC8nu0HAMoIumZhLgQ\n", "lYLNSWl1GdhxQ7d8TdoNC3VTnetsdt+gmXsfOe3dAaxUo51NCHFhns6yQZDBGngnyPzRvh5Ro+0A\n", "+AFRXJaXyIhE7LlzMxonM4bwAHAcyWCIqVHwY/dtQ+jOfrPWeil5LPoSJj28RxWwSmAx1DXvrp2K\n", "0Bso8r6FgHibGhUPMso9EK1V6boPE0MEEu4NUCiChmtOpvit5VBr/OOEh1mr7D2CKpd1FUL23NBz\n", "qetglNvvlz0AzRwwqrvINsAoRhYg8w/mBT8Z5DtoXNO+hIjClqsoTVWtLnNRK1bfykpTxaBp5zd6\n", "ozECbtzSHURPSi8Bm6cY210J40fuIGNZEVLEnU0FOcDp41Lh3xXjztAX5SNOf8aimUQt60LxXByj\n", "rlm3fNBzlV7qZMzcNPcsT6icfwOMKLvPVWQdBDxvZH2l1ksCLURtrcjW0pPoekKTKyxsxyQyZMCl\n", "lP17hIHeglpylkl57wqEMVhz0Uy4wsqpAN9BMetGEcZPWn4BxeFbNe0c85zLM6nrYNTw75bd8WYM\n", "GOldZO24HocTzcq7lxBF2OVKGXrUsLqMA9migrLUN70SuD3hqVtQyAM33f5jNOW2qnJhXiy/de47\n", "n4yxDKRICX2RMBasj1EY36wwfqbNFYia4ydSJQ7Lc/diYEtHAZiBnvxzUaRRZcQCvbahcXct+UIE\n", "FnL2gceokTGKKpBnOPvdx8BPqlx7szMOf8pzHOjoPpxGyoLE6IHxVEIr0DPUCBKnDiU6oY0hKB7f\n", "LYQWL8tvo5As6+Y1Fz3XfB4NP9NMv1d2h4seMFK6yOZxJv7qVIYxiHOlDD0qWF3aQK4l4kJs541A\n", "3kiQLQETalXCrDZB45buJIQUmIqWGqlpKTKb1jlOW0fVM/GogqU1F+RvhO7NVVHAQft93FKHAlue\n", "5/RnBvBXCkQf99w52bzArnTm70PklAyABgkf57R9IzkB5BUwDksRxvndRYoyQ6il5zmnf3eQAPFh\n", "9tg/OsrJrcDAnOVflCio5avABinv3YwwDGEKelCMH8AywZ9kkLs/8CMzByc6bVtl9HxUuU9d9slz\n", "a3PpAhTewRSByS/FlJjBVa51eSzJGXpUsLpMBNklQVnqDfLvKr8Tw4QaSzRu6Q5C11wbWp8qVSFO\n", "s+BvM/d+C+zRwDhXVJq+AlncyP8bkOmx7x2laSH0JDvF6c+VSRu5Z88uowHGFhB1MhmxzFK0befk\n", "y6R0IZUwBqs6L+6rSGHpQA9NhxJa7KegFrsOlmY0ptBahF6lgNqNdCxIfDEpEMHRw7Ebs/VP9ICZ\n", "Gf6kAdl7ocXZzyUaSyrmuVxl5pLHjuvEXLoAhXYuRWDyGyALmok9gjAAvJEMvSQF4j6QRc31bjmW\n", "3iBv1VDOZoEcH12Ac80if8/57L9kAKUDFkQrnVvla/MGx7qqe+5hkHsSPnfcmzMIK7oLmrUzrOw5\n", "5LnzsFG6b3Pm0J3AIjm1vSrwP9PuF42ulwLHYD1Cl9GZaRVHFKfJHbtESABgZUJX4ETg+wX0YQAK\n", "d2AtzRNQd1jVvpg96JdO/z/CwAhkgD/JxZptZFnH9OOtmAI1DbXW7ZXX73luHpcuQKGdqxGY/I6j\n", "yGyPZsO5Qcr1Zui5StM0kEOcNtc3v2mDv6sFTbehNbMSMKG+cP5+Cz0BZkEIXw71vQua/rtaM8Y7\n", "qX8/7Ni351v1heS59dm8rPYmRH3+Atgpp7bnRQOBBbX2Hppl3TVxDLYhDFY+JuO9PyYKCXAWMVcc\n", "6hK927nmyCLGAcXnetzZG/5DCvgTYEXC4HhZAOS9KvtQzJKfK6aPI9MqqIvzeaL73Sw01OIA4Dtl\n", "zx3PKZ5l2QIU1rEalo+xhJlbWxK6jBzLx2x3cmcx6bq/vQyhRemvaH2c5wlLOFQKmn4dZBvnt5YD\n", "Wa+j4nQwGTNG0NOPdWO8Aiye45inhhx4CmTtaH8+Qivd++BJzw0zCqb4gDO/rk1aq3W02xONr7Pt\n", "XkEC0GbZbNaSjUHaL+O9A1HMOItZ9SGxagBmHE5xxuEaCnA7oXFl+xGGIMxEXfhVk0HQQOzIYbWW\n", "4uQchAvLvDKyLYVmPD/sjLGY5/UkiheWu+vTc07Pr2wBCutYlRibT0CWNxN1QxSHyf3eUY42oD6s\n", "l16oeVsAWQ1ktNP+VEcRi8v2BcjBhC68eUG2JhGWIFXcUkyuH6CmYTEvlNzB+6gRQzYGZMeOfXkD\n", "6FP2nPHctdi8cA9BSwBZxTwXXC9gd6fdZ4DFyu5vgowHG/nmAj+t4/413X0MzSZcInbNzs6e8nz8\n", "+xz7srBRzKwsbwGbVbl+JCA7gSxh7hmElsKqlORTRJ2yFP1aEHUp3kVYFcHyK2ih9O/SghbN7sql\n", "C1BYx6ooTQ+bz9cC+Sbh+4RsrtQpjcBKONgjfVAkcbf9akrTtea7niCbgyzkLKLdCDGkyJjFg2KM\n", "2FPN1UUpKVQAIB0PciDReC7Dr+P9+p4LZLMmn3bm3PlZ10+FdocTQh58Cqxfdl8TZDzeyDcT2KKO\n", "+3uiVhEbCN+hdhywBmHw9mdkqGBQhzxbEoYWCJoosmDsmoiXYSLIzs6es0eFfb+eAu85920QsAta\n", "eNw9qAsav3omWlzZW+NL5NIFKKxjNdxzT4J8mePCMb93IOGp60PMKS1udWkjRAGPyzYX5KdES4ys\n", "j7qz6pHNyOWa0U8qekMgAYC0AheC2OrZc5xR6+8fCWN93iFlSnuNdhciBF79loyusCb0O0DhO+y+\n", "sWad7cRrxz1PtGbmAsCD5rtZwAEF9qmfUQYtEO+XONmSJByY20AuJ4SWWRrk8YT9vxJQcQnPrS8w\n", "AvVqTCC6b45Hswq3xVvom/9syhag0M5lDEwW6jPRohgjrpJwLbA06nYS6BhU/ivzuSvb6yDbOYtj\n", "GZCbCM3JWWVDq3nbApxzgP2bOPa90cyR6c64CJrZUihiq2fPlRjFJnrNzMW5Zo429OIxc/08Z46f\n", "R4Ho1HXI1wNNwRe0+HbdpWGAnxCm089Fy6EMNN/1QgPH7ThcXORLHbUgPuj83qNowHVFL8P/CGMp\n", "z2lhpSnWz55oIfd/oLVI3f3UlsvaqZVk7spcugCFdi5DYLJQGXepxm/sZE46ggYr7mo+vxeQFVE3\n", "mzvR+xG62YaAvIBm7dkCwYNBTgeZ0YBsaIaLDYSdBmzfpDEP0DiH/zl9fgbYmiYhtnr2XI3RU/xf\n", "Cd3VLwNr5NDuvoTWj0doocKu5gBlAXHH0kACCOpGOtsZv3E4JVZQcEkbn/M4OcE+VJAlAH5mlEFr\n", "5TqZKl6Gb1GrUzy2qWz3XIb+fg8tXm2Vf8szUJiNfYD5y5a1q3LpAhTewRTgllYpyZJ2apSSq50J\n", "ez8mGDRJWXsJZH80GNHe0yP2b08UnuDzxmVbnLBm1ASqFObMeaw3IRo78j9SFuL07LnZjMaHvOu8\n", "bI8hY/mghDbXJ8QbG0cLWVTNoeUZI9vrjb5YgbWBF531fqtVxtAsXYtQ/lHRexAwP8azYHgSFO9l\n", "KJvRUlNHAU/FFKg5qBXuNxQUnN9duXQBCu9ghcBk93RRC3cpoc3NCANAp6MZOm7duYpuwTa0APAV\n", "hFkdgPQC+Vk+sq1OaD4fAyzbhDFeFc3+sHJOAA6ihVwUnj0nMZpef5Ezd58kBRZQjTYXc5ST6TSA\n", "tF9AfxcA3jSyPUWDLh3UJXcEIaDkZLMf9kSL3FoA3RnA3rF7c68ZhrqxbLFl6U1yzdCkQ7Ozz+5W\n", "9nNqYN4dhOJZRSBz0OSk/wNWzvk3m1r3rRW4dAGa0smEwOR6oPRRs/4ZhPgnz8UnITUC0J8AWdf5\n", "zdVB1onJUS/MPwrhb0H9ngAWKHhcFzMKojXTT0VTZBOrpnv23KqMlu/4xMzjaWhSR90vATRY+Qpn\n", "/f6NBq1YOfZ1CcJD3715HG5Q7CH34PQsmirfF41htJ//HbVC5V4HzpGlD/AHuy/1APkLmmRTSWEa\n", "Wsd+28qMGgt+hsJExONK30CTg9aqd45TUC2/zsClC9DkiTScOnCXzL1rYCxWqOnzhKTNhipBiM85\n", "E3dRY22aY757icR0/FSymd/dkzAz6FYKrG8EDDaLbrozHhfiEW09d2I2L5rrnfV3H43F/gSoe8TW\n", "ihxFijpqTerryoSVBa4nhzR209+fErrl5gCnmz3xQDpaPwqrA2fk+Z671y8KcqezH8ct+SuhsChF\n", "lFUp+VkPQAP4rwG+jo31OLRg+2akUOppYi2/VuXSBShpEmXBXeqJ+oxtgOf/gPWqXF9RabJlQ46j\n", "I6Cm0KFwbSpzp+nLMc5kPTvN5K9z3PqgGC1uGZfbyNnk69lzmYxi5djkjq9JUfesRnubO2vmHWDV\n", "svto5Fqb0FJwTiN9jLU72LRnLfJjgV0J48dkcIICU0QdONTL8JL7Qu9JR7DgESBfG1maUValxGfe\n", "G/g+cAHRWp9i5ujlKAhyB5R7nFCXZtfyayUuXYBWZmAZNI3VToILqREDQA33XCU02joxmHoamey9\n", "RxY0Dj3QsgxugeAngA3LfkaePRfBaDzOv535fgsxEMWM7S0DjDZtTQF2KLuPRq6tCA+Ef8q57XWc\n", "PgsoPtIw8/c8ILfG9sGiFBY0szGiKPVHk3NeStiPm1lWpcRn3wNNXPibUebd8ZkC3IQi3w8216dK\n", "qurKSqeIV5oqTaYATdu0pt3xwIgM9xeOD4WaXO8098wEdiloLLYgWmTyLWCHtIqdZ8+dlc0+sB+h\n", "NeYznNT6OtobANzorKXjaAF0ZxQixFqFDsy57V5oHJOAZg+fDbKX84L+E9F4oyIUFrsn7wayhvPb\n", "O4F8nNOe3JnZzPXVgT8Ts8wZpfpx+/zSwPd0ZaWzdAFajdFaQLc5E+a2rCdMCsaHQt13NjvnK2CT\n", "AsZhGHCPMw7j0VIsvcp+Rp49N5OBZYlanC+jzrqNhO50q6TcTgskTpi1LUauXA9gVmFZ1nkRrwfy\n", "W0K4lR+BTCpIYSFm/Z8N8ndCdPBBKNDlHOf3hc6B21TgfFgGOBJ4zJmrEoBsAnKWeW/laQjoLFy6\n", "AK3EqC/3M2eh/LzexUJx+FArEMYGjAVWSbim7jRQtFzClc5CmYxWFfdos567LaOujN8SgjaOpUrB\n", "2BTtjSDMdH2dBmEOcurjH408s4Dv59Rmu8LyFuqOW9Tsd71AdgWZz/x/KGGdzjwVFirEmY4D2cFR\n", "5A5N2J9bESG8hHmxsJ33vZ3xAmQ4yEloNYvOCBZa13iULUArsFlULlbLo8DSDbZZBD7UeoQBpS8C\n", "i8a+rzsNFA2Y/CuKpyJopst5wMJlPx/PnluFUUwyC+jYhrqeOgTNpmxrJULMpK+BbUruW0BYBmUq\n", "sE4ObXZQWL4B+Y2xWgCyOFoyCtQ6f0/OCkslpcnyHWjlhne80lRz/CaB/NMouwPDsZHvkAzp0BXH\n", "r3QBymY0EM4GwX0L/J6css/ICR/KtLUDYYr/KByTPg2kgaI4Kr8FJjrX3UQLnHw9e25FRjOQTiCE\n", "EniTOhGv0UwzG5s41+w/pZ3KUYvatUaeL4GhDbZXUWF5hjC+6DiQHQldQKcRyXBrVGmqmpwjFV74\n", "XdVSktcznAHyb5B9Qf5QYVy90tSF2Gx8JxECM75CDvWnKvxW3fhQ5v6DHTkvw8GHos40ULM57oW6\n", "Gex3jwDrlv1sPHvuDIxmh71l1s4c4HjqAIo0a/FEZx1eR4E4aynk6Q3cbWT5EFiygbaqKiyzQC5B\n", "68HNRV09sYNeLgoLTSre3hU5jdKZxF1V6SxdgJImwVDgBfNA29CUy75N+N1MsUZmM/2rs4EcF7+P\n", "+tJAnyWaIfE6Gs/VZSa2Z8/NYKA/Wn3erqXnSYgzTNnWjoTlSF4EliqxXwNQWBEximEjcAuZFJY7\n", "CQuao9auZXLoT+HF27sye6XTGYuyBWjyg++BIvTauJ2xwKZly1VB1r6E6MSzgV8mXJNpI7iXDqjj\n", "HwO/pEXKO3j23FkZBbAca9bVTDTzKDOcAJr2bfHQPi9zf8KxYpuD1sA628mssMwT3ae+BLbIoT+F\n", "JOd0B/ZKpzMWZQvQxIe+OHC/sxCvpM604QblqGltQt1nDxs5pwDbVrgulfY/FmRvwsBLZxMcUPZz\n", "8ey5qzAan3S5s8YersdKAsyPFl21B6aDKu0VTejTYsAHRpb/UKdFvk6F5T+EsZpz0GoEjSCz556c\n", "053YK51mHMoWoEkPe1cUz8ieWnYsQYZUmW1oyr+t0j2eCjFPpPAzTwT5HaGpuzfIPuFvdyk/s2fP\n", "rcLAj4AJzjrbN+taQ0Ehz3T2ikvrVVhy6M8KTn9uog7LdL0KC1r14LTYYbeubEUjR27JOd2NvdJp\n", "xqFsAQp+yPOiQZX2Id5Dk4vKki2zbWPCSutvUgX2gCpZKdNB/gYyr9P+niDvm++7YkaDZ8+txCgA\n", "7a3O+r6rnr0HTdaw4QRPEoMZaWJ/hgOTjBwX1nPgakRhQcs42ezhZ2mgkLLTn7qTc7ore6WzCytN\n", "aE2lj8wDnAYcUM9Cb1CGrJltNkPuUWpUQ6+mNL1BiLS7FcgLse+90uTZc/GMWoP3IgSx/BLYuY52\n", "1nL2sk8oKcMV2IwQ3PPEBtqpS2EBvkcYNzYe2CCnZ1QXEHB35u6sdAZmAFqagiAI0GwOgOlSRegg\n", "CPoBf0EDMUFPJT8TkXeKlTJRlnuBEUPRYKqlKlx3FgqUZGg8sJyIzKzRdoBO0oFjgJVj35+G+gO3\n", "QXcFS2+jqYOoa29ItbH05MlT4xQEwRLAFcDW5qPrgUNF5OsMbSyCWq42RvHkDhCRq/OWNYUcP0FL\n", "S/UADhOR8xpoK/W+7tyzEHAzGng/CzhYRC6vVwZPjVE9z7CzU4+yBahGQRCsGQTBSFQ5mGp4chAE\n", "I4MgGJ5w/XA0VfdI1GpzHLBxSQrTmsCIIVRWmAQ4lVBh6qP/LAqsUqt9MzlvBLg44fs/ANsSVZhA\n", "Yc8N3dgdJrgnT2WTiHyMLseDURfTXsBrQRBsk6GNCaj1/CI0s/aqIAjODoKgVwEiV5PjDmB/899z\n", "gyDYo4G2RESmGU61F4nIF+hZ8Dx0y7wsCIILgiDoXa8cnuqnep5hp6eyTV1JTEaEazRY8A/oyUOA\n", "MdSJ0JtjH6pmts0G+bXpRwByLtlxLfBpoJ49dyoGVgSecvawC8noJkeVFrvXPUgDGEoN9ONo8/uz\n", "ge1KGstfolY3G9JQseQT3g3nOScuXYAOAmWPAxoDPO1sQudScio9NTLbpoD8wFEGb3f6RugbTrWw\n", "8Wmgnj13KjaHvP9zFJ93gA0ztrERYXHxDyiomkENGc4gjBltOL6oThnWBz41cnwIrBn7vu56nJ49\n", "J3HpAnQQKIMS8J2o1ekTSi546fShYpD2RJC1jcwLgDwZ+z5rkDY+DdSz507JwHfR8k2ChhOcRgZY\n", "AWAJ4DlHcdmlyfIHaKyWoJAuqyV8X7h1Bw1psAfn6cAeNFCP07Pnaly6ABFhUrqbJoD8uOPk36xs\n", "+Z1+VFSaZoNsD7IsyNsJ39eT2YZPA/XsuVMyGp90GnXWwAT6AVc7a/xUmojwj+JJ3WF++2Ng6TKs\n", "O2YcL3N+73P7Lklbj7PsueC5c3DpAkSESYFwfSfIQmayDwHZNpz4LVPfhhTuuc8SPm+0wCHdOA3U\n", "s+fOzMCGwLtmzc5CYzR7pbw3AI5AUbMFLbY7pImy90djioSwdl7TD29mHA5B64nKPCCvVnmXxOpx\n", "+pAFz6m4ZbLnTOri7gAHJnw/BY1+3AH4AtgSeA04J7xkd9NG6SQiQpXMtoHAIiKSUI4AAAkZSURB\n", "VAmfN5rZJiKjReTXwBDzMwPRzfPXIjI6a3uePHlqDonIU6i77kKgNwqb8lgQBCumuFdE5Gw0Q+8r\n", "tPj2c0EQDC1QZPf3ZwA/RzGc5umJpgmOQVE5Z5i/j0A3JmAE2rd5c5ZDUDddEKD+yp8Cb1S4fik0\n", "s3mwkSkpI9uTpzi1jNKEYj0M7EdHzKEpqAnlMtQGexbwAFpvZGXUPg0MIsSLaAW6CBTz/8MUF48z\n", "1xq6sJEfNpto90oD9eSpk5NZr4egys8nwAbAy0EQHJzmQCgiDwLroOfJlYBngyD4YZEyO3QR0K83\n", "6mccg/rpLK2M7tuv0o4TNwy4oQA5DgJNqxuOVj5eH/UfJtFS5lr3Xk+eqlErKU0VaRCwHQoH+yJ6\n", "Yml1wUXkJWDUJHQHrKY4jUP7N1n/O0pEXi5aPk+ePLUmich/UKXiOvQgeAFwvwHJrHXv+6ir71bU\n", "iHJXEATHFmmFdzHpHgK+Y/7dC1WgXCrSuuN6K44GnkAjwqeiFqcTUL9dnBxNqWW8FZ5al1pJ95gO\n", "TJ2JolbH6QwU2nu12OdvozZh1CA1vTjx6qK9gNfGoDvgEUT79rb5bA30ZIaeEPdsqoSePHlqORKR\n", "r0XkZ8DOwEQUTfz1IAj2rvViF5GpaJHyP5mPTgFuDoJgYEHitlt3NkaVoiHA7WioRdzUXaB1J+Kt\n", "GIBCr5+OBjudCOyEvihcamFvhacWpJZRmmrFAfWnHTE7Qq2McC1aJmFTYNRkNP5qKNqX/ubvcwgt\n", "TMCmIvJNGbJ68uSp9UhEbgNWB/6N6iLXAreYciLV7hMRORX4MbrF7Aw8FQTBsnnKlxSLugYaid4P\n", "Dak4NuG+Zll3AuAoQhTkO4Azi/oxT92CWqr2nDHzvjgE9X1XqtVmaRy6QI3SMbyV3VrGDH0QusEM\n", "Mh9PQRXFi3ygtidPniqRUSx+CZyN7h+fA/uLyF0p7h2K6gsro4Hiu5r4pzzkmgeY2g8N+HbpHjRx\n", "Zy66ye0W+74/7V6CgSIyLQdZqtbjfAfFY7gEjY215OtxespCLWNpgq4dB+Qz2zx58lQvGcvRFeg5\n", "8VFgYeDOIAiuCIJgcI17xwDroXrM/Gh81BFFx+/8AE1u2RFVnoqmWt6KFYGriCpM0NreCk+tRy1l\n", "aQIIgmA+dFMYNhg9Wh1EeGp4G53kV9KuML2Gd2t58uSpm1AQBD2Aw1BQzH7oGfIXIvJIjft6AicB\n", "fzQfXQMcaCAD6pWlqnUHNKYprp0VZd3pyt4KT61BLWVpAh8H5MmTJ0/VSETaDC7TmsALaHb/w0EQ\n", "nBUEQf8q980VkWPRIPHpKLbSY5Wy8gKleQwnWqVqWXego8IExVl3urK3wlNrUMspTQAi8o2IbI8D\n", "xz+TSJbcSLQw4/ZeYfLkyVN3JBF5C4UXOAFFAz8CeCkIgnVq3HeLuW8ssDbwQhAEG9nvgyBYMwiC\n", "kag+MdXw5CAIRlaACCgNk64C+axlT4VRy7nnksiccmwq6HTvd/bkyZOnkIIgWAvNrFsFjb0+FThF\n", "RGZXuWdB4Ca0wMJsFN5oGxSxG2hPxbcHVkujgD3dA2sQBPcCI4aikAOV3GLWumOUlVHmcJw7GbTx\n", "G6ijL548VaNOoTR58uTJk6fqZFxzpwBHol6xl4CficibVe7phWbhH24/Gwzsi0IIuLGkF6MWokn6\n", "USSWtFVjUX3Wsqe8yStNnjx58tSFKAiCzdBEsWWAb9HA77NFJAkQ297zCuqxYh0UFCqpPuaHaKxQ\n", "kqWola073lvhKS/ySpMnT548dTEKgmAQ8A/gV+ajx9AMuw8Srl0TeHEe1BTzGbAECuy0VkLbH6Kx\n", "QsZitGbcWuOtO566MrVkILgnT548eaqfRGSKiOwP/AiYgGYkvxoEwX4JmXAHAewPjEYjxD9GS6Jc\n", "n9B2rTIoHpPOU1cmb2ny5MmTpy5MJuD7IrSUCijI5f4iMj4JZ+lb4FA0RRngd8BfgV5Omx5F21N3\n", "Ja80efLkyVMXJ6Mc7QFcgJZh+wqN9X4K+DheBkXQwO/DUCyDw1B8PJfyLoPiyVNnIK80efLkyVM3\n", "oSAIFgcuR+O5QZPhhiTVjgMNhDoYLcC7TOw7rzR56o7klSZPnjx56kZkrE4HAOcDPe3nlcqgtNEx\n", "+NW75zx1V/KB4J48efLUjcgoOM8BPXs6n++CQn/HKekl4Yvceuqu5JUmT548eep+dBDAIWi8Eija\n", "5OrAkzVubEIZFE+eWpa8e86TJ0+euhElZcxtAjxhvweOAk4C+sbubVYZFE+eWpW80uTJkydP3YiC\n", "IJgHmOoGf3+NKk5vONcdB5xo/k4og/I6sImv2eapu5FXmjx58uSpG1GS0gTwDbAnWuPEUoUyKACL\n", "i8inBYnoyVPLko9p8uTJk6fuRdOBqTNRC5KleYF70Sq/+6P1T2YaHoQGihuaAoxvjqiePLUWeaXJ\n", "kydPnroRmWy3G0EBLOM0HLgUBXCaangSsFh4ic+Y89RtybvnPHny5KmbkS3SOwR4Fa0nV43GAWvQ\n", "Hs80XEReLlI+T55albylyZMnT566GYnIS8CoSSg0+IdVrrUZc0ZhGuUVJk/dmbzS5MmTJ0/dk/YC\n", "XhsDDAOOIBrj9Lb5bA3aIQZeQ2PFPXnqtuTdc548efLUTSkIgnmBG4AR9rMKGXOjgD09xICn7k5e\n", "afLkyZOnbk5BEAxHUcJ3R5PlQLPkbgQuEpHRZcnmyVMrkVeaPHny5MkT0I4WPsD8d7rPkvPkKUpe\n", "afLkyZMnT548eUpBPhDckydPnjx58uQpBXmlyZMnT548efLkKQV5pcmTJ0+ePHny5CkFeaXJkydP\n", "njx58uQpBXmlyZMnT548efLkKQV5pcmTJ0+ePHny5CkFeaXJkydPnjx58uQpBXmlyZMnT548efLk\n", "KQV5pcmTJ0+ePHny5CkFeaXJkydPnjx58uQpBXmlyZMnT548efLkKQV5pcmTJ0+ePHny5CkFeaXJ\n", "kydPnjx58uQpBXmlyZMnT548efLkKQV5pcmTJ0+ePHny5CkFeaXJkydPnjx58uQpBXmlyZMnT548\n", "efLkKQV5pcmTJ0+ePHny5CkFeaXJkydPnjx58uQpBXmlyZMnT548efLkKQX9Pxj00avu/dxlAAAA\n", "AElFTkSuQmCC\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "I,J = np.nonzero(gamma)\n", "\n", "plt.figure(figsize = (10,7))\n", "plt.axis('off')\n", "\n", "for k in range(len(I)):\n", " h = plt.plot(np.hstack((X0[0,I[k]],X1[0,J[k]])),np.hstack(([X0[1,I[k]], X1[1,J[k]]])),'k', lw = 2)\n", "\n", "myplot(X0[0,:], X0[1,:], 10, 'b')\n", "myplot(X1[0,:], X1[1,:], 10, 'r')\n", "\n", "plt.xlim(np.min(X1[0,:])-.1,np.max(X1[0,:])+.1)\n", "plt.ylim(np.min(X1[1,:])-.1,np.max(X1[1,:])+.1)\n", "plt.show()" ] } ], "metadata": { "anaconda-cloud": {}, "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 }