{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook replicates Figure 2 in\n", "\n", "> __Unsupervised Learning of an Efficient Short-Term Memory Network__ \n", "> Pietro Vertechi\\*, Wieland Brendel\\*, Christian Machens \n", "> *Advances in Neural Information Processing Systems 27, 2014*\n", "\n", "__License Agreement__ \n", "This program is free software. It comes without any warranty, to\n", "the extent permitted by applicable law. You can redistribute it\n", "and/or modify it.\n", "(Note from ModelDB Admininstrator: this model is released under\n", "a very unrestricted license that lets you do anything with it that\n", "you would like. Contact Wieland Brendel for any license questions.)\n", "\n", "__Contact__ \n", "Wieland Brendel \n", "wieland dot brendel at bethgelab dot org" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "from __future__ import division\n", "from numpy import *\n", "from numpy.random import randn, rand, randint\n", "\n", "import theano\n", "import theano.tensor as T\n", "from theano.tensor.shared_randomstreams import RandomStreams\n", "from theano import function\n", "from theano.compile.ops import as_op\n", "\n", "from scipy.ndimage.filters import gaussian_filter1d as gfilter\n", "\n", "import seaborn as sns\n", "sns.set(style=\"darkgrid\")\n", "\n", "from progressbar import ProgressBar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simulation will take about 15 - 20 minutes on a CPU of a modern workstation. You may opt to run this program on a GPU. In any case, please make sure your Theano package is properly linked against BLAS/LAPACK and activate openmp if required. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# theano.config.exception_verbosity = 'high'\n", "theano.config.openmp = True" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The task is to start with a recurrent neural rate network with random connectivity. The dynamics of the network is described by\n", "\n", "$$\\dot{\\bf r}_t = {\\bf F}{\\bf x}_t + {\\bf\\Omega}^d{\\bf r}_{t-1} - {\\bf\\Omega}^f{\\bf r}_t - \\mu{\\bf r}_t.$$\n", "\n", "Here $\\bf F$ are the feedforward weights, $x_t$ is the input, $\\bf\\Omega^d$ are the slow recurrent connections and $\\bf\\Omega^f$ are the fast recurrent connections. For further details, please consider the original publication. We assume that the dynamics of the rates is much faster then the dynamics of the input. Thus, to a first approximation, we can always assume that the network is close to the equilibrium,\n", "\n", "$${\\bf r}_t = ({\\bf\\Omega}^f + \\mu{\\bf I})({\\bf F}{\\bf x}_t + {\\bf\\Omega}^d{\\bf r}_{t-1}).$$\n", "\n", "We use this equation to solve directly for the equilibrium, instead of going through a long gradient descent. To this end, we need to introduce an op for Theano based on the linear Lapack solver dgesv." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from scipy.linalg.lapack import dgesv" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def infer_shape_solve(node, input_shapes):\n", " Ashp, bshp = input_shapes\n", " return [bshp]\n", "\n", "@as_op(itypes=[theano.tensor.dmatrix, theano.tensor.dvector],\n", " otypes=[theano.tensor.dvector], infer_shape=infer_shape_solve)\n", "def scipy_solve(A, b):\n", " return dgesv(A,b)[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameters & initialization of variables" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section we initialize the parameters of the network." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "N = 10 # number of neurons\n", "I = 1 # dimension of inputs\n", "\n", "mu2 = 0.15 # regularization of rates (\"cost of a spike\")\n", "alpha = 0.2 # weight decay (controls the norm of the weights after convergence)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# initial values of rates, input and connection weights\n", "r_init = zeros((N,))\n", "x_init = zeros((2,),dtype=float32)\n", "F_init = randn(N,I)\n", "F_init /= sqrt(sum(F_init**2,1))[:,None]\n", "Wd_init = randn(N,N)/float(N**2)/5.\n", "Wf_init = 3*randn(N,N)/float(N**2)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# time-scales of synaptic plasticity\n", "lam_F = 0.00001\n", "lam_Wd = 0.00001\n", "lam_Wf = 0.001" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compilation of simulation code using Theano" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Theano first builds a symbolic expression of our simulation logic, and then infers an efficient algorithm to implement it (in the compilation step). As a first step, we define the most important variables as Theano symbols." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# define rate (activation of neurons)\n", "r = T.dvector()\n", "\n", "# initialize input as Gaussian-distributed random variable\n", "srng = RandomStreams(seed=234)\n", "xstream = srng.normal((I,))\n", "x = T.vector()\n", "noise = T.scalar()\n", "\n", "# initialize noise in neural rates\n", "rstream = srng.normal((N,))\n", "\n", "# initialize symbolic connection weights\n", "F = T.dmatrix(\"F\")\n", "Wf = T.dmatrix(\"Wf\")\n", "Wd = T.dmatrix(\"Wd\")\n", "\n", "# symbolic scalar for number of simulation step\n", "k = T.iscalar('k')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plasticity rules by which the synaptic weights adapt throughout the training are given by\n", "\n", "$$\\dot{\\bf\\Omega}^f \\propto {\\bf F}{\\bf x}_t{\\bf r}_t^\\top + {\\bf\\Omega}^d{\\bf r}_{t-1}{\\bf r}_t^\\top-\\alpha{\\bf\\Omega}^f$$\n", "\n", "$$\\dot{\\bf F} \\propto ({\\bf r}_t-\\alpha{\\bf F}{\\bf x}_t){\\bf x}_t^\\top.$$\n", "\n", "$$\\dot{\\bf\\Omega^d} \\propto ({\\bf r}_t-\\alpha{\\bf\\Omega}^d{\\bf r}_{t-1}){\\bf r}_{t-1}^\\top. $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following function is a symbolic description of one step in the simulation." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def training_step(r_tm1, F_tm1, Wf_tm1, Wd_tm1, x_tm1):\n", " # draw input\n", " x_t = xstream\n", " \n", " # define currents (for notational convenience)\n", " gslowrecurrent = T.dot(Wd_tm1,r_tm1)\n", " gforward = T.dot(F_tm1,x_t)\n", " \n", " # update network state\n", " r_t = scipy_solve(Wf_tm1 + mu2*T.eye(Wf_tm1.shape[0]),gforward + gslowrecurrent)\n", " \n", " # update connection weights\n", " F_t = F_tm1 + lam_F *(T.outer(r_t,x_t) - alpha*F_tm1)\n", " Wf_t = Wf_tm1 + lam_Wf*(T.outer(gforward + gslowrecurrent,r_t) - alpha*Wf_tm1)\n", " \n", " Wd_t = Wd_tm1 + lam_Wd*T.outer(r_t - alpha*gslowrecurrent,r_tm1)\n", " \n", " return [r_t, F_t, Wf_t, Wd_t, x_t]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we stitch together many simulation steps (by means of the Theano scan function) and then compile the graph into the function *training*." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python2.7/dist-packages/theano/scan_module/scan_perform_ext.py:133: RuntimeWarning: numpy.ndarray size changed, may indicate binary incompatibility\n", " from scan_perform.scan_perform import *\n" ] } ], "source": [ "([r_vals, F_vals, Wf_vals, Wd_vals, x_vals], updates) = \\\n", " theano.scan(fn = training_step, \\\n", " outputs_info = [r,F,Wf,Wd,x], \\\n", " n_steps=k)\n", " \n", "training = function(inputs=[r,F,Wf,Wd,x,k],\\\n", " outputs=[r_vals[:20], F_vals[-1], Wf_vals[-1], Wd_vals[-1]],\\\n", " updates=updates)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We do the same for the testing period, where we aim to record the inputs and the responses of the neurons but leave the synaptic weights fixed." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def testing_step(r_tm1, x_tm1, F, Wf, Wd, noise):\n", " # draw input\n", " x_t = xstream\n", " \n", " # define currents (for notational convenience)\n", " gslowrecurrent = T.dot(Wd,r_tm1)\n", " gforward = T.dot(F,x_t)\n", " \n", " # update network state\n", " r_t = scipy_solve(Wf + mu2*T.eye(Wf.shape[0]),gforward + gslowrecurrent) + noise*rstream\n", " \n", " return [r_t, x_t]\n", "\n", "([r_vals, x_vals], updates) = \\\n", " theano.scan(fn = testing_step, \\\n", " outputs_info = [r,x], \\\n", " non_sequences = [F,Wf,Wd,noise],\\\n", " n_steps=k)\n", "\n", "testing = function(inputs=[r,F,Wf,Wd,x,noise,k],\\\n", " outputs=[r_vals,x_vals],\\\n", " updates=updates)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "r_vals = [r_init[None,:]]\n", "F_vals = [F_init]\n", "Wf_vals = [Wf_init]\n", "Wd_vals = [Wd_init]" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (500 of 500) |#######################| Elapsed Time: 0:15:39 Time: 0:15:39\n" ] } ], "source": [ "epochs, epoch_length = 500, 10000\n", "testing_length = 100000\n", "\n", "progress = ProgressBar()\n", "\n", "for epoch in progress(xrange(epochs)):\n", " r_out, F_out, Wf_out, Wd_out = training(r_vals[-1][-1,:],F_vals[-1],Wf_vals[-1],Wd_vals[-1],x_init,k=epoch_length)\n", " r_vals.append(r_out)\n", " F_vals.append(F_out)\n", " Wf_vals.append(Wf_out)\n", " Wd_vals.append(Wd_out)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x_init = zeros(1,dtype=float32)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [], "source": [ "R, X = testing(r_vals[-1][-1,:],F_vals[-1],Wf_vals[-1],Wd_vals[-1],x_init,0,k=50000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Results\n", "#### Basic statistics\n", "First, lets see how the rates change over learning." ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# use this variable if you perform multiple trainings (and this accumulate data)\n", "# epochs = 1000" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA70AAAFUCAYAAADoCVvPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XmUZNld2Plv7HtERmZEZGTkvlS+XKuqt5KQ1JIlY0Aj\n", "sZhhGxszzHiwAYMxM4xZzthInmGbBTBwzLExBjNIRmhYRrLMIFDT2lvdXXtlVr7cl9j3fY9488d7\n", "Gcqsyqytq7q6qu/nnDonMzIi342IF1nvd3+/+7s6RVEQBEEQBEEQBEEQhKeR/nEPQBAEQRAEQRAE\n", "QRAeFRH0CoIgCIIgCIIgCE8tEfQKgiAIgiAIgiAITy0R9AqCIAiCIAiCIAhPLRH0CoIgCIIgCIIg\n", "CE8tEfQKgiAIgiAIgiAITy3j4x6AIAiC8NYhSVIXmJFlefsBHvsi8DuyLM89/JHd8bgS8AlgCvg5\n", "WZZ/6808/oOSJMkG/DHwIvBZ4M+B/1aW5W++w2NKwLIsy7tvyiDfZt7I+f8Gj/v3gR+403svCIIg\n", "PDgR9AqCIDyBJEnaBQJA58jNvyfL8j99E8dwLECQZfmLwJsa8Gr+OfA5WZbPP4ZjvxHfhfoe9suy\n", "3NVu+/idHiDLsuuRj+oePa4A8Wkky/LHgI897nEIgiA8rUTQKwiC8GRSgA/LsvzSYx6H7jEfH2Ac\n", "+MrjHsQDGAfWjwS8p5IkySjLcvtNGNPh8QyyLHfufs+3xPt/397M11OSJB2ALMvKm3E8QRAE4XYi\n", "6BUEQXiKSJJkARLAu2VZXtFu8wN7wJgsy2lJkn4INTvaD3wJ+GFZlmMn/K6Xgf9bluXf1b7/QeAf\n", "yrL8oiRJX9DudlWSJAX474GUdv9R7f7zwG8D54AI8LOyLH9a+9nvAxXUwO+9wCrw907LGkqS9G3A\n", "LwEh4ArwI7Isr0mS9JL2+HdLkvRrwLOyLG+e8Dy+CHwAOAv8jTbefw18GJCB75ZleU+7/xzwm8Cz\n", "2nP6F7Isf1L72YeA/w21lLoA/K4syx/VfjYBbAM/CPyvgB34NVmWf/GE5/NR4GcAnSRJ3wH8BNA9\n", "fH21+3SBHwN+ErUHx/TR7OrdXkNJkr5Jex6DqFnEJeAPDt/PW8bzEe3nNeDbgJ+UJOk68Buo2fsa\n", "8CfA/yjLcuuk91+W5U9KkvRh7fUZ18bzw7IsX9eO8dPAjwNuIAr86EmTNpIkebRxfwtQBX4H+EXA\n", "zN3P7Tsdfxf4N8D3A2ckSXLcacJB+yz9AvDdgAX4M+AnZVmuS5LUB/whcAH1WurL2rEi2mNfRv1s\n", "vR84D5yVJGkD+BHgfwL8wMdkWf4x7f4/yO3v/Wn31QP/B/ADQAn4Ve19Mt7LBIogCMLbkWhkJQiC\n", "8OS6Lcsmy3IDNTj5b47c/D3Ay1pQ8AHUAOK7gSHUgOGPTvn9ivbvNrIsv1f78qwsy67DoPCQJEkm\n", "4NPA/4d60f7jwMckSZo9crfvBT4CeIFN1ADjNtpjPg78U8AH/Bfg01q27gOoAe0/kWXZfWvAe8ux\n", "vh8YBqaBrwK/ixr43wR+XjuWA/gr1IDGD3wf8G+0AB6gDHy/LMse4EPAj0iS9O23HOvdwCzwt4F/\n", "qQXRx8iy/POo78Mfaa/ffzhl3N8OvAAs3OF5fYRbXkNJknzAJ4Gf1p6jDHwDp7yfmm8DPqk9t4+j\n", "ls7/BDCgPfZvAz+qjf+291+SpGdQX9Mf0o75b4FPSZJk0tZd/xPgeVmW3cA3AbunjOM3ARcwCbwP\n", "Nbj77+7h3D71+Efu/33AB4G+ewgQfxmYQZ20mUE9d/6l9jO9dqwx7V8NuHUt+fcD/4P2XPa12z4E\n", "PI86+fI9kiTdaQ3vaff9R6gTAudQJ2a+gzu/r4IgCG97ItMrCILwZNIBfy5J0tESzZ/SsngfR73g\n", "/1+02/8easYV4O+jZievAEiS9LNATpKkMVmW93l43gk4ZFn+Ze37v5Ek6T+jBiwf1W77U1mWX9fG\n", "8THUjNVJvhf4z7Isf0677/+JGoy9CzjMON6pzFZBXe+8oz3+L4D5wyyjJEmfRM3Mgpr53ZFl+T9q\n", "31+RJOlPUScJ/pUsy58//KWyLF+XJOmPUAOz//fI8T6qBWjXJEm6ihqcrJ0wLt1dxg3wS7Is5+/w\n", "vE57Df8r4IYsy3+uff8bkiT91F2O9RVZlj+lPbc6cOnIz/YkSfp3qM/1X5/y+H8E/FtZll/Tvv8D\n", "SZJ+DjVgjqBmSxclScqcdq5JkmRAfb/PybJcASqSJP1fwD8A/gN3PrdPO/47USdGFOA3DrOxd6KV\n", "JP8QalCf1277JdSM+c/JspxFzfwe3v8XgaNZawX4fVmWb2rfd9W4n1+WZbkIFCVJ+hvULPBfnjKM\n", "W+97Trvv9wC/Lsty9Mi4PnC35yQIgvB2JoJeQRCEJ5MCfPspa3pfBuySJF0AkqgXy4cX6EPA64d3\n", "lGW5IklSBjWL9TCD3hBwcMtte9rtoI4/ceRnNcB5yu8aOjo2WZYVSZIOUMd86G6ZrqPHqqO+Lke/\n", "Pzz2OPAOSZJyR35uBP4AQJKkd6BmABdRy20tqB2Yj4of+boKOO4ytju59TW81WmvYQgI33LfW7+/\n", "1bGfaxn2XwWeQy3VNnLk3DnBOPADkiT9+JHbTMCQLMtfkCTpn6FmpRclSfpL1FLpW8vqfdpj9o7c\n", "ts/X3+uXOf3cPu34oSPf3+31PORHfc4XtWAV1AkKPYAkSXbg14BvRs2yAzglSdIdWbt70rHu59y4\n", "9b6H7+3QLb/7bu+rIAjC254IegVBEJ4ysix3JEn6Y9SsahL4tJY1A3Ut5cThfbVy3gHUTNytKhy/\n", "KA/exzCiwOgtQcA4J2c87+V3LR9+o2XhRjl5zPfiTgHyPvB5WZa/6ZSffxx1/eQ3y7Lc1NYR+x7B\n", "OO7nPieJAt96+I32mo3c5Ti3Huu3gYvA92qTI/8M+K/v8Dv2gV84aQ0zgCzL/wn4T5IkuVCztb+C\n", "Wrp8VBpooZ6jh1nSMbTA7i7n9h2Pf+R53os06iTCwknr3VHX2s4CF2RZTkqSdB41M647coxHVXIc\n", "Qz3/D42edkdBEARBJYJeQRCEJ9edSmM/jlpymwZ+7sjth4HHx1ED0F8EXjml3PQK8J2SJP171Ezb\n", "P+R49imBuj72pOZTX0PNTv1zSZJ+FXWd64dRM313G/ut/hj4GW098hdRS5vrHO/YfLffpzvl61t9\n", "BvhlSZK+H3XvX1BLUEuyLK+hZttyWsB7AbW89rTy1Lsd7412Pr7T4/8L8FvaeuPPAD/MnSctTvpd\n", "TtRGSVVtXfKPcDxDfuv7/zvAn0mS9NfAa6iZ0r8FfB412zqC2vCpgfr+nbQm/TCo/QVJkn4AdULm\n", "J1EbNx067dw+9fiyLJfv8NxvI8tyV5Kk3wF+XZKkH5NlOSVJ0jCwKMvyZ7XXpgYUJEnqR1sTfot7\n", "OSfv9Rw4et8/Bn5CkqTPoH7GfhqxplcQBOGORCMrQRCEJ9enJUkqHfn3J4c/kGX5VdSmS0PAXxy5\n", "/XPAv0BtCBRFbRb0fUd+59GL518DmqjBze+hNnc6+vOPAP9RkqScJEnfxZFsoSzLTdRM4wdROyD/\n", "FvAPZFleP3KcWy/UT2uatY7aFOg3td/1IeBbb9ly5m4X/cotX594bFmWS6hNlr4PNZMcQ+0abdbu\n", "96PAv5IkqYj6On7ipN9zD7edNI6Tvn/Q55FGXYf8v6MGh/OopcmNexwLwE+hBvVF4N+hNjw79f2X\n", "Zfki6jrY3wKywAZfz+RaUF/HFOpr6gN+9pSx/DhqlcE26iTHx1DPP7Tndtq5fdrx7ycgPHrfn0Zt\n", "DvaKJEkF1AZnh43Yfh2wob62X9HGcbfz+aTvlRO+vtt9fwf4LHANNRP/GaAjOjcLgiCcTqcoj25y\n", "UJKkb0H9j8EA/HtZln/llPu9gNpJ83tlWf6T+3msIAiCIAh3pm1zc4C6pdHn73Z/4ckhSdIHgd+W\n", "ZXnicY9FEAThreqRlTdrHRh/C/hG1Nny1yRJ+tSRToZH7/crqNta3NdjBUEQBEE4mbZP76uoZbj/\n", "s3bzK49vRMLDIEmSFbVb82dR92D+eeBPH+ugBEEQ3uIeZXnzBWBTluVdWZZbqGVRt+5lCGoZ0/+D\n", "WvJ0v48VBEEQBOFk34BanntYEv4d2lZKwpNNh1pankVtnrXC1/cPFgRBEE7wKBtZDXN7S/13HL2D\n", "1hTi21FnLF/g6+tV7vpYQRAEQRBOJ8vyR/n6nsjCU0KW5RpqckAQBEG4R48y03svi4V/HfgZbTuL\n", "o50JRRdCQRAEQRAEQRAE4Q17lJneCLfvI3frBurPAX+kbfzuAz4oSVLrHh97jKIoik73Rnd/EARB\n", "EARBEARBEN6iHijge5RB7+vAGUmSJlC3xfhe1M3ke2RZnjr8WpKk30PdZP5TkiQZ7/bYW+l0OlKp\n", "0kN9AoLwOPj9LnEuC088cR4LTwtxLgtPA3EeC08Lv9/1QI97ZOXN2v6JPwb8JbAKfEKW5ZuSJP1j\n", "SZL+8YM89lGNVRAEQRAEQRAEQXg6PdJ9et9kipjBEp4GYjZWeBqI81h4WohzWXgaiPNYeFr4/a4H\n", "Km9+lI2sBEEQBEEQBEEQBOGxEkGvIAiCIAiCIAiC8NQSQa8gCIIgCIIgCILw1BJBryAIgiAIgiAI\n", "gvDUEkGvIAiCIAiCIAiC8NQSQa8gCIIgCIIgCILw1BJBryAIgiAIgiAIgvDUEkGvIAiCIAiCIAiC\n", "8NQSQa8gCIIgCIIgCILw1BJBryAIgiAIgiAIgvDUEkGvIAiCIAiCINxBq9Wi1Wo97mEIgvCAjI97\n", "AIIgCIIgCILwVtPpdAiHD0gmEzSbTQCsVitDQyGGhkLodLrHPEJBEO6VCHoFQRAEQRAE4YhyucTa\n", "2k0ajQZGo4n+/gEURaFYLLCzs006nWJubgGz2fy4hyoIwj0QQa8gCIIgCIIgaIrFAqurK3S7XUZG\n", "RhkdHUOvV1cEtttttre3SKWSrKxcZ2npLCaT6TGPWBCEuxFBryAIgiAIgiAA1WqVmzdv0u12kaR5\n", "BgYGjv3caDQyOythMpmIRiOsrd1kaWlZlDo/RtVqlWw2Q7PZxGKx4PX2Y7fbH/ewhLcYEfQKgiAI\n", "giAIb3vtdpvV1Ru02y1mZmZvC3iPmpycol6vk81miETCjIyMvokjFQAURWFnZ4t4PI6iKL3bd3d3\n", "8PsDjI9PYLFY3vBxut0u5XKJSqVCp9PBbLbg8Xgeyu9+VBqNBu12G5vN1qtSeLsTQa8gCIIgCILw\n", "tre9vUWj0WBkZJTBwcG73v/MmVkuXbrIwcE+AwM+bDbbmzBKAdSAd3V1hXw+h91uZ2RkDJvNRrVa\n", "JRaLkEolyWYzTE5O39N7eZJarUYsFiGZTNHptG/7eV+fl/HxCZxO5xt9Og9NNpthf3+PSqUCgF6v\n", "700AvN3L8EXQKwiCIAiCILytpdNpUqkkTqeTsbHxe3qM0WhkamoaWb7J1tYmS0vLj3iUwqGtrU3y\n", "+Rxebz9zc/O9bKbT6SQQCJBIJNjZ2WZzc51cLsv09Mw9B32tVouDg71eBtlsNhMIhHC53BiNBur1\n", "Oul0inw+R6GQZ3JyiqGh0KN8uvdkd3eHSCSMTqejv38As9lEoVAgkYiTzWaZn5/H5XI/7mE+NiLo\n", "FQRBEARBEB5Ip9Mhl8vR6XRwuVxP5FrKTqfD9vYWer2eM2ek+1qf6/P5SCb7yeWyZDKZO5ZECw9H\n", "NpshkYjjdDqPBbxHDQ4O4vF42NhYJ5NJUyoVOXNmlr4+76m/t9vtEo1GCIfDdDptrFYrY2MT+Hy+\n", "286JoaEQuVyWjY0Ntre3qFQqTE/PPLa13Xt7u0QiYWw2G5I0j8PhANSMeDQaYW9vl5WVGywtnX1L\n", "ZabfTCLoFQRBEARBEO5bOp1ma2uTdrvVu83vDzA9PYPBYHiMI7s/Bwf7tFpNxsbGTwzau90u6XSa\n", "fD5Hs9nEZDLh8Xjw+wMYDAYmJibJ53McHOyJoPcRa7fbbG1totfrmZmZveN6VavVytLSMpFImP39\n", "PVZWbuDz+RkeHjkW+LVaLZLJBLFYtLdF1dTUNMHg0B2DWK+3n3PnziPLN0kk1KzwmTOzD/X53otM\n", "JkM4fIDNZmN5+dyxjLZOp2N4eASLxcr6+hqrqyucPXsOq9X6po/zcRNBryAIgiAIgnBf4vEYW1ub\n", "GAwGRkZGsVqtxOMxUqkkjUaDxcWlJ6KBjrpuM4rFYmF4eOS2n+fzOTY3N2g0Gr3b1AZK2zQaDYaH\n", "hxkcDGK326lUKqRSKfx+/5v5FN5W9vd3aTabjI9P9LKZd6LT6RgZGaWvz8vW1gbpdIp0OoXFYsFi\n", "sdBsNqlUKpRKJdrtFm53HwMDPhqNBrlcFo+n744TOBaLhYWFJVZWrpNMJjAYDExNTT/Mp3xHjUaD\n", "zc0NDAYDkjR/agm3z+ej1Zpie3uLtbVVzp49/0R8Ph8mEfQKgiAIgiAI9yyfz7G9vYXJZGZxcakX\n", "fAQCg8jyGplMmp2dLaanzzzmkd7d/v4e3W6XiYmp24KAWCzKzs42Op2OUEgNbiuVChsbMtVqlUwm\n", "RTwexe8P4PX299ZTiqD30ajX68TjcWw224kTFHfidDo5d+4ZcrksiUSCbDZDPB6jXC7T7XZxOJx4\n", "vf0YDAYymTQAkQgYDAYCgUEtW3pyt2aj0cji4jLXr18lFovicDgYHAy+4ed7LzY3N7Ru42fuOgkw\n", "NBSiWq0Qj8fZ29tlcnLqTRnjW4UIegVBEARBEIQTVSoVqtUqNpsVp9NFu91mY2MdnU7HwsLCsQtt\n", "nU7H7KzEtWs14vE4/f0DeL39j3H0d1apVEinU7hcLnw+37GfxeOxXmC/sLCA1WpjfV0ml8ui1+s5\n", "f/48druDra0NisWitpWNmZWV6wwODj4RAf+TZn9/D0VRGB0dP7HsuN1uU6mUaTZbdLsd9HoDFosZ\n", "h8OJXq+nUqlQqVRoNhsoioLX24/X24/T6aS/fwC3243ZrAa2jUadQqFAMplke3urN4kzMTF54tiM\n", "RiNzcwtcu3aV7e0t7Hb7I28alc1myOdz9PV57znInpiYolAoEI1G8Hq9d1zj/LQRQa8gCIIgCMIt\n", "FEU5tvfn202n02FzUy0HPeTx9GE0Gmg21fWvTqfrtscdNoO6evUyOzvb9PV5H1tzn7s5ONgHYHR0\n", "7NjtyWSSr33tFZrNJlNT0+zv75PLZQH1NZienultT+T19rOycp1arcb09BkuXXqNV175KgMDvrdV\n", "QPGoHU5QOByOY5n0er1OKpUkk0lTrVZRFIVut0ujUadeb9Bo1LXSdB0Oh4O+vj5tTXYfAwMD9PcP\n", "YLFYelsdFQoFGo0m1WqZdruN0WiiVqsRj8fY3Nygv3+A55+/wNjY+G1lzzabjbm5OVZWbiDLa5w/\n", "/yxG46MJtRRFYXd3B51Od2ogfhKDwcDs7BzXrl1hc3ODZ5557olaf/9GiKBXEARBEARBUy6XCYcP\n", "yOfVjsSBQB8Gg52RkVHMZvPjHt6bQlEUbt5cpVDI43K58PsDZLNZIpEw0WiE2dlZ3G439Xr9xIY4\n", "DoeDYDBILBYjHo+9JbZzuVW5XCaTSeNyuY5lo/f39/nrv/5L2u02U1PTFAo5rly5SLvdZmFhiYWF\n", "xWNl0BaLhcXFZa5cuUyz2eDMmVnW19e5dOkSFy68423bKfdhi0YjKIrS206qWq0SDh+QTqe0DG8F\n", "RVHQ6dQJG51Oh6J0URT1ezWANVCtVpmenmFiYhKz2Uyr1UKW10inUyiKQrFYJJfLUq1WqdWqdDod\n", "BgZ8DA4OEomE2dnZoVAosLCwyMLC4m0TGx5PH8PDI4TDB2xtbSJJc4/k9YjHY9RqNYLB4D2tbT7K\n", "6XQSCg1rz2cbs9lMoVAAFBwOJ8Hg0BPZhf1uRNArCIIgCIIARCJh9vZ2URQFm82GxWIFFGKxKKlU\n", "CkmS3hbZu/39PQqFPF5vP/PzC+h0OoaGQly/fpXNzXW63Q6HSXC73c7IyNht61hHR8dJJlPs7+/j\n", "9wceWcbrQUWjEeDrWV5FUdje3uLLX/4inU6Hd7zjnYyPT7K2tkooNILRaECv17O2drP3mhyyWCxI\n", "ksTq6gqKAqHQMKlUAlm+yfnzz75tMmmPSqPRIJVKYrfbMZstvXXjtVqNSqWC0WjA6XRhMBgwGAw4\n", "HA4cDgd2uwO73Y7NZkdRFNLpFNFohFQqSTabxe12USqVKZdLFAo5ms0WNpuNwcFBdDodpVK5dxyn\n", "08ny8jmi0Qg7O1u88spXqNVqzM8vEAoNHxvv2Ng4xWKBdDqllR4PPtTXo91us7+/j8FgZGxs4oF+\n", "x9jYODs7W/zVX/0l/f0DdLsdms0m7XYLg8HA6OgYs7NzBAKDp65lftIYPvKRjzzuMTwsH6lWm497\n", "DILwhjkcFsS5LDzp3grnca1WI5fLkcmkyWQy5HI5KpUKrVYbk8kkLkSFY/b2dtnf38NsNjM3N8/k\n", "5DSBQABJmqbZ7JLP50inUzidzl5p69NIbdS0jsViYWnpLHq9nm63y6uvvsLu7jZ6vZGBAR9DQyHc\n", "bg/lcol0OkWlUqG/v7+XBT38fOVyWYxGI2635w2Nq91uE4tFOTjYJ5GIUSqV0Ov1WK33/140Gg22\n", "tjaw2+1MTk6jKAqyvMbNmyvUajUuXHgn8/OLrK2t0mq1mJ9fYGnpLJVKhVwuS6PRuG1rIqvVRrfb\n", "pVKp0GjUURS11LvdbjMw4DtlJG+et8Lf5Ae1v7+nbQmkI5GIUygUepnJvj4vfX19jIyMMjExxeTk\n", "FIODQW2trguLxdoLhl0uN0NDIcxmM1tbm1y5comrV6+QyaTodNSgr9lskkole5n+559/R6/Cw+fz\n", "sbCwSKfTpVDIs7OzjdFowGAwHpsM0+l0eDx9JJNJ8vksAwO+U7sqP4i9vV0KhTzj4+MPNAmnnu8y\n", "ly5dZG9vp7cWX80auyiVSiSTCTKZdC+D7nZ73jLLFBwOy0cf5HFvrWk3QRAEQXgDms0miUScVCpJ\n", "rVa7432dTic+nx+/P/C2KVsVTpZMJgmHD7R9Pc8ey2wcdu51OBysrq4gyzLLy2fvu6TwSXFwsI+i\n", "KExNTWMwGFAUhdXVFdbWVnE6XXzHd3wnOzs7dDptZmclms0mGxvrZLMZVlauMz+/2LvADwaHCIfD\n", "RKNRQqHhB94iJZfLsrGxQaulBm06nY5isUgiEcfr7Wd6eua+slGxWBRFUQiFhlEUhY2NdWKxKOVy\n", "BUmaY3ZWYm1tlXq9zsjIaK88e25unhs3rpFMJnC73bc1DxodHes1F3I6HdTrNVKpJH19XgKBwAM9\n", "97czRVFIJpN89atfpl6vI0lzdDpd2u02Xq8Xu93O2NgE/f399xyQdTodotEImUya9fV1DAY9Op2O\n", "8+efIRQaZWdnm0Ihj8lkZGdnh1wuh8lk0kqBtxgbG2dmRl3Tvbq6wmuvvUq3Sy87eshqtTI9PcP6\n", "+hqbm+ssLZ19KEHj4fpiq9V6x2UD6gRvE6vV1luCoCgK8XiMjQ2ZtbU1DAYDL7xwAbPZytjYeG9t\n", "cKvV4tq1y0SjMdLpNN1ul2w2w/z84hOd9RVBryAIgvCW12q1yOfztNstzGYLHo/nWLlks9kkHN4n\n", "kUjQ7XYxGAz09w/Q19eHzWbDaDQBCs1mk2q1Sj6fp1Qqsru7w97eLl5vP8Fg8C3daVZdr/bWmGl/\n", "WLrdrpaBLwPgcrne9MZHtVqN7e1NDAYjCwtLp17UeTx9zMzMsr6uZgQfZZOaW3W7XcrlklalYMTl\n", "cj+S16hSqfTWufb3q5nM7e1N9vZ2MZnMPPfcCwwM+IlG1YyryWRifn6RpaVlNjc3SCYTrKxcZ2np\n", "LEajEaPRSDAYJBIJk0olH2gbl1QqxcaGjE6nY3x8gsHBIEajkXK5xN7eHrlclsuXLyFJ0j19fjud\n", "DvF4HJPJjN8fYGtrk4ODfSKRcC+Lf/nyRYrFAmNjE4yPT/Qeq9frkaR5Ll++xM7ODl5v/7EJM71e\n", "z8zMGarVKru7O70gSG3o1fdUTK4piqLta1ukVqtSrzfodru9pm+H77vBYOh9bTSaMJmMmExmLBbL\n", "iVlPRVFot9s0GnUqlQqFQoFcLkc0GqFcLjEzM4vVaqPRqON0OhkfnyAYHLrr56DbVbOy+XyeQiHP\n", "5uYG8XiMTCbD4uISY2NjOBxOUqkka2urBAJBgsEg0WiEeDxOqVRkfn6Rd7/7Ra5fv0YikcBisWK3\n", "25GkOdbX13j99VcxGAyYTCaCwaHesf1+P9lshnQ6RTh8cFvDtAexu7tDt9tlfHzyxEmkTCbD3t7O\n", "sUlfdd26l3Q6TalUYnt7m4GBAV588b14vQNcunSReDzO0FCo9/4sL58HdFr5uIlKpcK1a1dYWFh6\n", "Yif8RNArCIIgvGV1Oh329nZJJOJ0u93e7Xq9nsHBIKHQMLFYlHg8RrfbxWq1Mjw8gt8fOLV8ub9/\n", "gJGRUVqtFul0imRS3bMxm81gtVoZHAwyOBg88cKs2+2SSiVJpVJUq1W63S42m5X+/gGGhkJvKAiq\n", "1+vU6zXq9Tq1Wq33favVptNp956/Xq/HZDJhsVhxuVx4PJ63dIfck3S7XTY21pHlm3Q6HdxuTy8b\n", "YbVamZqaflMmINQsn0yn02F2du5Y2XKn0zl2zoF6EVurVTk42GdnZ5szZ2Yf6fharRbRaIRYLEan\n", "0+7dbjAYCYVCjIyMPnD29CTh8AEAIyOjgNosJxaLkc/nCAT8tFotXn/9VVqtFqlUimQySaFQYGRk\n", "hKmpafR6HfF4nLW1m72GT4ef0UgkfN9Bb6GQZ2NDRq83sLi4eGwLGJfLzdLSMolEgu3tTW7eXGVy\n", "coqhoRDtdptEIk42m6XVamI0qhMFg4NBCoU8nU6bQCDEV7/6ZdbX12g0GnS7Cnq9Xgvo97Babbhc\n", "Hra3t441MbNYLExMTLC1tcnu7g6zs9KxMbtcboLBIKlUknw+x9jYBJVKma2tTebnF97I2/NADst2\n", "azUjtVoNvV6P2Wy+778X6h65MVKpJM3m/ZdJV6sVrUFcHkXp4nJ5tDJkLyaTiU6nc9tjjEYjer2O\n", "oaFh7HZITnvYAAAgAElEQVQHjUYdt9vNzMzsXZcY5HJZ4vE4+Xyu9zmOxaJUKmX0ej0XLryTs2fP\n", "EQoNc/36NTY2ZPL5HLVajfHxCSYnp3n22ecIhyN0ux283n7e9773ayXvTRRFwW63Mzo6Rrer8Npr\n", "X+sF+Ee3v5qenqFYLHBwsI/X6z2x4/m9KhTyZLMZ3G73bVtsgTq5Eo1G0Ov1+Hx+bDYbxWIRWb5J\n", "Op0mGBzC4XAwOamWgQcC6udxYmKCzc0Ndna2mZubB8BsNrOwsMTVq1dQlC7B4BDxeIyVlRssL599\n", "Ipd46J6idvxKKlV63GMQhDfM73chzmXhSfcwzuNGo8Hq6g2q1WovGLVabdRq1V4X2XK5xPDwKG63\n", "m7GxcQKBwQcK/srlEvF4nHRaXdul1+sZGPARDAZ7axHz+Rybmxva9hdqcKbX66nX63S7XYxGE9PT\n", "MydejNzqMFNSqZR7+6CedNFnMBi1DIkJvd6gbaPT7a09O/w/3GQyEwgEGB4eeahrxx62dDrN5uY6\n", "Fy++Ri6n7i8ZDA7hcjnx+wO4XG5SqSSKojAxMcnw8MgjHU8sFmV7ewu/P9ALXqrVKmtrNzk42Kda\n", "reDzefB6BxkeHsHn82M0Grl27QrlcpmFhcVHFpzn8zlkWabdbmEymfH5fFitVur1Oul0mlaricPh\n", "YG5u4cQOyverVqtx+fJFHA4H5849Q61W49Kl11lflykWi7RaTS0D7OOZZ56l0WiwubmB2WzG7XZj\n", "s9lYWFhiZ2ebbDbD4GCQmZkzNBoNrl69TCwWY2lpiYmJqXtaT99qtbh8+RKdTpvFxaU7rgkulYrc\n", "vHmTVquJzWal1WrTbrfR6XQYjabepJGiKMRiMUBBp9OTyaSw2ew4nU6MRjXTv7e3Q7PZYnx8nHJZ\n", "LRE1GIxMTk4eC9qvXbtCqVRiaWkZj6fvtrG/+urXWFtbZXFxCYfDSbFY4MwZ6aGXOZfLJRKJOMVi\n", "kVqtRqlUolarAjpMJhMul9rgqa/PTj5fBdTycIvFgsvlxuPx0N8/cOrfjXq9zv7+Xq+7scFgZGBg\n", "ALfbg8PhwGpV18yq3ZKVXqfkdludrCsWS9p5tNb7u9VoNFCULiaTCZ/Pz9jYBMPDw7jdHiwWS2+P\n", "23Q6zVe+8kUsFgtDQyHGxsYJhYbv+De+UMizu7tDuaxWj9jtdvr6vOTzOcrlMul0iv7+AcbHJxgd\n", "HWNt7Sa7uzvk8zlarRadTof5+QXe+c53odfrKZdL3Lhxg263w9zcPOl0WqtaGKRQKFCv14nFokSj\n", "Eer1Bu9617s5e/bcsfM1n8+xsnIDm83G+fPPPtBElaIoXL16mUqlwrlz528Lng8DXnXbpAXsdjvN\n", "ZpO1tVUSiTiJRAK73YFer2Nqaprl5XPHXsfr169SLBaZn1/oVXmAuvRjY0PudXHf3t7CarWyvHzu\n", "gSoXDieOc7kcrVYTvd6A2+2+r4ZZfr/rgWZ4RdArCG8xIugVngZv9Dxut9tcu3aFWq3G0NAQExNT\n", "6PV6qtUq8XiMRCJOJBKmUMgzOBjkxRffd9uF54MeN5VKEotFe+VhNpuNRqNBo9HAbDYzNBQiFBru\n", "/QetlkvGODjYp9PpMD4+0cuUHVUsFkgmk73s0yGdTtfrMGqz2bBabdhsVqxW2x0D2E6nQ6lUJJvN\n", "kkqlel03h4dHGBkZfUtlfrvdLuvrMpubG6ytrZLJZOjvH2BhYZGpqWnq9RrVahWvt5+xsTFu3lzt\n", "7ZH6qLa7abfbXLz4Ooqi8Oyzz2E2m8nlsvzN37xEKpXsBZLVaoFCoUooNMTIyBhnzsxit9t7JY3v\n", "eMe7cLkePHtzK0VRODjYJxw+QKfTMTY2ztBQ6NiFcqfTYXd3m3g8jtls5uzZ8294rd3u7g6RSLgX\n", "mF2+fJErV66QzabJZrMMDg5itdpwOtXqgueee6FXammxWAiHDzAaDUjSPMlkglarhdlsQlHUiYSt\n", "rQ0cDiczM7OMjIwwPDxyx3N0be0mmUz61M/Trer1Ol/4wsvs7Gzhcrl517vew8jIKEajEUVRyGaz\n", "XL58kZdffol6vcbg4BDLy2dZWFjk4GAfn89PvV6jXC73XoPDNZB7e3t0Om2GhoaYnJxGp9NRLpe4\n", "evUKbreb5eVzt40nGo3wpS99EZ1O4V3vepGDg310Oj3PPPPsQylzrtfrbG5uUCjk6XbVRmulUol2\n", "u90L3sxmcy9gXFqaJZ+vaZnfBtVqjXa7Bah/g9RqlaHe39FOp0M4fEA0GqHb7eJwOAiFRvD5fPcU\n", "tLXbbXZ3d7h27Sr7+3u0Wk2Gh4fp7/dhNpspFoskkwnUbXJcjI2NMzwcYnxcXVcaiYR56aXP0Ww2\n", "eOGFC8zNLdwxu3j0MwHg9wcIhUI4nS42NzdIJOLU63VMJhNebz8zM2e4ePFVdnZ2MBgMBIPqpGqh\n", "UKDZbDAxMcnZs+e19eMFVlZuoNPptJLmdRSly9LSWWT5Zm9iIJGIYTSaeOGFd7K8fPbYtj/b21vE\n", "YlGGhkJMTU3f9/t9OEEXCAzeVmFyGJja7XaWls5iMql7C6+sXKfRaBAIDDI0FOLP//xPqFQqfOhD\n", "33rbZ6parXLp0usYDEYuXHjHsYmp9XWZVCrJxMQknU6Hg4P9Xjfr+wngM5kM29ubvUqBw4mSw6/9\n", "/gATE5N3nbh90KBXdG8WhLeYJ7nDoiAcup/zuNvt9oJK9WKsyuXLl8lm07jdffh8flKpZK+7brlc\n", "wmw2s7i4jCQtUK/XyGQyeDyeN3zhr9frcblcDA2F8Hg8tFptbty4zsHBHuVyWQt4Q8dm2fV6PW63\n", "m/7+AXK5LJlMhm632+uqmclkuHbtCnt7e1SrVYxGNVMSCg0zNjbeC+x8Ph8eTx8OhwOLxXLXbNhh\n", "51qvt59QSF2LVSqVyGazZLMZXC73W2INoaIovcxpOHyAwWBgbGyMQGCwt32IJM1jMBjI53Po9Tqm\n", "p8+QTqfJZNLYbPZHsoZsd3eHYrHA+Pg4Xq+XVCrFJz/5CXZ3dzAazej16lrx/v4+KpUapVKRWCzK\n", "lSuXiUQiKApEo2Hi8bi23raF3e54Q13BW60Wa2s3SSYT2v6vS/h8fhRFoVar0Ww2e51o+/sH0Ov1\n", "vcZJfn/ggUudD5s56fV6zpw5QywW5ZVXvkwulyESidDX18f09AyTk1OAGpBcv36VcrlEOBzW9kbt\n", "amXMB+h0el599avE43FGRkaRpDmMRhOtVguLxUKxWKRUKjEwMHDimFOpFOHwPm63h5mZM/c0gZPL\n", "5bTS5S5+v187lhmHw4FOp6NWq/Hqq68Qj8fxeNwEgyHGxyfIZFIYDEasViuFQoHBwWBv7aVOp+tl\n", "uNTS0iy1Wo2BgQEsFguVSoV8Po/b7b6ti7TT6dL6Buxit9uZmJgkk0lTr9dv297pfqXTaVZXV6jV\n", "qphMZlqtBna7A58vwPz8Ai+8cIFnnnmOUEjtVKxmaMHvDzIyMsrgYJCREbVywWq10m63KBTyWrl6\n", "nnK5wvb2Zq+J09TUDNPTM73X8jSKolAqFdnYWOeLX/w8Fy9e5ObNGxiNRp5//gIjI6MEg0P09Xlx\n", "Op3Y7Q7q9TrNZpNKpUSxWGJzc51UKsnBwR7FYoGzZ8/x/PMX7hgIHQZ4uVwOh8PBwsKi1qXZ0gt4\n", "LRYLiqIG4w6HnZdf/hyRSBiHw4XPN4DBYOyty02lUmxvb1MqlRgfn8BqteFwOEilUuRyOQKBAMVi\n", "gW63y8yM+rfKbrfTaDQpFApUKmUMBv2xZTYeTx+ZTJpcLofL5bqv8mA1Y3sTvV7P/PzCsb8xamXK\n", "Knq9gaWlZSwWC41Ggxs3rtFoNBgbG2dycopEIk6j0cBoNKAoHOsorWbHt7VlG1vE4zFcLhdOp+uW\n", "TtQ5pqdntF4M6mfB57u3c3lvb5ft7S0URWF4eISZmVmmpqYJhYax2ezU6zXy+by2Ztpyx7/5D9q9\n", "WQS9gvAWI4Je4Wlwt/M4n88RDofZ2dlmd3enty43kYhrAeIOiqJ2WM5ms5TLJTqdDn19Xq175hlc\n", "LrfWeMZOOp0ik8ng8/keWnMhnU5HIhHDbLZoJXjj1Ot17cIni91u1/ZxVR2W6h2uJUsmE7z++qu8\n", "9torJBJx2u02JpNaCup0qo2C7Hb7Q8nIqtvppGk2m2QyaW09YQGXy3Us2/A47O/vEYmESSQSpFIJ\n", "MpkU3a5CPq82sNrZ2ebmzRvMzEhYLGay2Sx9fX0MDYW01zrz0Lf8OOw4bLFYOHNGIpNJ84d/+PtE\n", "IgcMD6udmtVSzAY2mwWr1U6pVKRardFqNalUyvh8Afr6vFpJrZ1SqUQ8HqPVavX2DL0fpVKRGzeu\n", "U6lU8Hr7WVhYotPpsLOzzdbWhtZYJ6ZVOBQwmUwMDgbpdDpks1lKpRKBQOCBzqdsNksyGWdwUC3n\n", "f+mlvyYSCbO/r3a0fve7X+Q973mvto3TINlshrW1m6RSSTqdDoFAkPe85714vV5KpRK7uztYLBZa\n", "rRY6nY7FxWX6+weo1WoEAgEsFmsvM+nz+Y+Nudvtsra2iqIoLC4u39P7Xi6XWFtbxWAw8p73vIjL\n", "5aJQyJPJpInF1G61X/jCy2xvbzI1NcMHP/hhxsbGtSZde9jtNlqtNg6H47Y9eEFdW+rz+SmV1O2Z\n", "SqUiDocTt9utBRP129YrHwbMh6XB586dp16vk8/nekHUgzjM6ul0Ovr6vFQqZQqFIq1Wi1arRbGY\n", "p1gs0u12en+31GUYFQ4OIr1JOlD/ZrndboLBIbxeL/l8nhs3riPLN6lUKoyPT7K8fO6ulQxql+UE\n", "6+sy165d5erVK+zt7RIO72OxWBkfn8Dr9fY6BNvtDmw2OwaDgWKxyP7+PrFYjGw2Q7VaoVqtYTab\n", "GR0d59lnn7/j3/RiscD169e0ngw2+vq8FAoFYrEor776Ne25lCkU8uzv71KtVtjZ2aHVajM/v8DA\n", "wIC25tvFxMRUr4Q6mYz3PmtjY+M4HE4sFivpdJJ6vYHRqNfOXx/9/f1kMhncbg/1ep1EIoHBYKDb\n", "7eD3q59J9Xxwa3sE5+7r/6qtrU3K5RKTk5P09R2vaFpdvUGj0WB2VtImalvcuHGNer3O8PAoAwMD\n", "VCoVNjc3cDgcLC4uk82mKZdLBAKDRCJhvvrVr3D9+lVSqQSbm5usrNxga2uDVCqJXq9HUbrYbDYK\n", "hTzVahVJmqNQKJDP51AU5bYx3eqwO7rVamVxcRm/P9D7XOv1epxOJ8HgECaTqbc1XL1ex+PpO3FS\n", "TAS9IugVnhIi6BWeBqedx6VSkbW1VSKRMJVKGUVRO0u63R48Hjd6vZ58Po/P5+P55y/g9wcYGPAz\n", "PDzM1JR6wX1rtkHtJlpmb08Nnp1O9z1lSu9EDUBuaBcOw5w//6z2H7tCOp1id3eXjY110ukUVqsN\n", "s9ncu4AplUq8/vqrXLz4Ou12i6GhYc6dO8/ExCRWq41qtdK7KKtUKthstgfOyHY6HTY21tnb29UC\n", "fzU7ethwZHd3h1qtjk6no9Go95pgvVlKpSKbmxuEw2HC4X2tbNiO0+lgbGyCwcFBut0O29vb7O7u\n", "MjQU6l0Ij42NY7XaekHG4GDwoZVsHxzsUywWmJiYpFIp84lPfJxYLMbU1AyhUIhqtYrf72dm5gyD\n", "gz7W1zd65bvvfe/78Xg8ZLNZvF4v/f0D+P0BhoeHtcxfjng8jqIoOJ3Ou2ZfFUUhEgmzsbGudWWd\n", "YHJyinD4gM3NDarVClarlYEBH263i0ajQSIRJx6P0Ww2mZycolarkc/nAB6ozH9nZ5t6vc7MzBnW\n", "19d49dVXiEYjWK0WvuEb3s0HP/hhLBYr0WiE7e1NbDY7wWBIy54pWlm/ugZ7fV2m3W7z3HPPEwoN\n", "Ew4fsLe3x+zsLKVSiXK5zNLSci8ArNfrx9bBh8MHZLMZQqHhe8oidTodVlau0263kaQ5PB4PLpcb\n", "v18tT45Gw2xtbfaCl7/zd76ZmZkzuN1uotEIhUJRy1pVOHv2mVMDPLXre461tRV2dra1ZnYVKpUy\n", "zWYLr9d729pqtQdBjYODPfR6AwsLiySTCfL5PIHA6c32TpNOp9nYkDEYjAQCAXZ3d1hfX6NcLlMs\n", "qhnGcrlMJBLh4GCPcDiMXq9jcnKK0dEhIpE4mUzmtkClXC4RiUQolUpYrVYcDgdebz+tVuvI36iT\n", "q2iKxUJv3aga6B70nrvL5ebZZ59jYmKCWq3O9vYm165dIZlMsr+/p31Ouuh0OjqdLmazhcHBIaxW\n", "C7mcmlUcHh4+8biH2c8vfekLhMMH2O12rFar1iOhwvb2llYpYtOCuwitlvo+BYMh3v/+b9QqKKr4\n", "fH4WFpZwOp2YzWZcLhczM2eIRMJEIgeUyyVGR8d766Oz2Yy2ZrlDrVbtlWSXSiX6+weoVMpEo1Gc\n", "ThetVgufz4dOp8NsNmM2m3t/0+6lB0UymeyVE09PH696UP8OxPH7A4yOjqEoCtevX2N3d0ebBFG3\n", "8Lt06XXC4QN8Ph9jY2N0u10ymQyyvMZLL73E1tYGNpsdj8dDKDRMu90im82STqfJ53MYDIbepF42\n", "m8XhcDI5OUUmoy59uNMkzvb2FolEHJfLxdLS2VP7DxxOEg0M+CiXS+RyX98X/ejkMoigF0TQKzwl\n", "RNArPA1OOo8PDvbZ2Fin1WoxMOBjZmaGqalpBgeDDAyopb2RSBir1doLeJ1Op1bua73t4qBcLiHL\n", "a+zt7dJsNimVikSjkV5AXSqVMBoN2Gz3l+lMp9Osra3SaNTxer3o9Qa2t7eIRMKUy2Vt+w0zuVyO\n", "ZDJOOHzQyyTs7m6TyaQpFvPo9QbGxyf50Ie+leHhEfr7BxgcVBsi2Wx2Wq0mhUKeRCKuXVhaT72w\n", "PEmn02F19UZv2xabzU5fXx8+XwCr1Ua9XkOW17hx4ypbW1vU62qJbqPRwOt99N2eu90uq6s3CIfD\n", "HBzsEotFcTicnDlzhsXFZWZnJaamZhgeHqHVarG9vUWlUsZms6HT6bX100M0Gg1yuQcP6G7VbrdZ\n", "X1/vlZl/5jOfZn//gImJcUKhEIlEkpGRERYXl5mZOUN/v5tMJk+n06HRqNNoNHnve99HJpMhnc5o\n", "GXwjo6NjjI9PYDKZKBbVQOow4+NwOE98vQuFPOvrMslkErPZ3Gsis7JynXQ6jdVq1V6naRQFkskE\n", "9XpdC+bUADQajTA3t9C7UFRLbe+9sVWz2dTWwaoXnJ/61J+xt7eL0Whkbm6e7/zO76bdbvfKrs1m\n", "M7OzkrYtkYlqtUYqlSCZTFKrVXA6XfT19WEwGJibW8BgMBKJHJBMJggGh6jVaphMJiYnp3qvk8Gg\n", "NrNpNpusr69hNJqYm5u/p3Ltvb1dcrkcw8Mjx9Z/G41Gms0m5XKZQGCQYHCIiYlJ5ubUDsq7u2qg\n", "73DYURQFt9tDrVbt/d2wWm299ywSCWtdnuu9Y6hVAFY6HXXSxmy2EArdHqD19w+wvr5GMplgcXEZ\n", "m832QGXOlUqFtbVVdDo9w8Mhrl27wvXr1zAYDPh8fkKhEC6Xm2azRa1WJZNJEYlE2NhYJxKJMD09\n", "gdcbIJfLkkwmqVTKNBqNXllrrVbF7XazuLjE8vI5BgYGqNfrvb9RhUIeULPDRqORVqvFzs52b4/m\n", "eDzey7ZaLBZqtSrBYJBAIEA4HCYWi/b6GkSjYSwWMx6PB6fTpQV/6nOsVMrE4zEqlRLB4FBvIkxR\n", "FKrVam/S8bXXXmF19QatljrZMTMzSyg0wujoWG8ZwMTEFM899zwrK9epVMpMT88wPj7J4uIykcgB\n", "iUQMp9PJxMREr8FWo9HQAnAzk5PTxGJRwuEw3W6XUGgYj8dDt9ulVCqRz+fR6XTYbDZCoWHy+RzN\n", "ZhOvt59SqUAiEcfj8dDptHsN75xOJ61WU6tgKvcC4pMcLV1eXFw6NmHZbre5eXMVnU7H3NwCer2e\n", "1177GpcuvY5er2d4eERrDGYik1F3JnC51MqETqfNlSuXePnll+h2OzzzzLO8//0f4P3v/0aeeeY5\n", "JiencTqddLsdul0Fj8fF0NAwoPRKoC0WdZ/gQqFINnu4vOj4353DKp+ja43vxmQyEQgMAmj/xyZp\n", "tZrHqmdE0CuCXuEpIYJe4Wlw9DxWFIXNTbU802KxMDc3z8jI6G2B7MHB/rEMT6lU7JVTdbsdTCbT\n", "LRehshbA9WvrBiX0ej3NZlPr1NolnU6RTqfQ6/V3LCVWFIVyucS1a1e4fPmStqbSjKKoF2I6nZ7+\n", "fnUd7uioWl69tLSM2Wyh0aizt7fH/v4e0WiUTqfNzIzE3Nw8JpOJarV6rGOrTqfD4XBopaRuGo26\n", "tpYpfs+ZX0VR+OpXv8KNG9fpdNqEQsMEg0MMDgZoNOq9i4vDNXrtdpNGo65tAaKW5fn9/kca+Eaj\n", "EcLhg17jKqtVvTCcm1vg7NlzBAIBHA4HPp8fvz9AIpHoZUeKxVJv7Vd//wDJZIJCIY/P53/DmepY\n", "LEoul8Xn8/GFL3yeaDRCMDiI1+slm80yMTHBhQvvZGgopF3YbwBG3ve+D1CtVtjYkGk2m7z44t8i\n", "HN6nUMhjMBjQ6w0EAoPamvChXgOcTCZDLBajVqtq/2rahbvaOKrZbPYyTUajkRs3rlGpVPD7Ayws\n", "LGKz2dnc3GBvb5d2u43brV5Et9sdksk4Gxsb3Lx5g6mpGTqdDoVCnkBg8J7X9yYScXK5HKOjY3zt\n", "a6/w+uuv0my2OHNmlm/5lg9hNBpYWblBrVZlYMDX60as0+lwu93aZEqpt0ZaDZrOk0wmyeUyLC8v\n", "0263OTjYp9lUGye1260j722SXE7NmofDYcrlElNTU8e2JzpNuVxia2sTq9XK3Nz8sfM5n8+xvi5j\n", "NKqNi5rNBuPjkzidTq2x1ia5XBa328Ps7ByLi0vUamqQl06niEajlMtl1tdlrTTTxtzcPNPTMwSD\n", "Q9Trda10d1Jbr77P0FDotnGr2/F0OTjYo9PpsLCwRLFYJJ/PYbFYcTqdd32e7XablZXrtFotxsbG\n", "uXz5ItevX8Pj8TA1NU1fn5dms0k0GqbRaGAwGHpreQ8nAq9fv0YymUKn07O/v8vOzjaVitpjwOvt\n", "Z3p6mvHxiV7gYrFYGRwcxOPx0Gy2KBbV4CYajXDz5gpf+9orbG9vUSoVaLfbFIsFnE6XVilRweVy\n", "8/zzF2g269pa2hb1utpxvK/PS19fH7Oz80xPT+PxePB6+7Uu+lHi8QSdTptIJEoksk+j0eTgYK/3\n", "2d3d3aZarRAKDfON3/hNjI9P9DotX7z4GjdvrlAo5CkWC3zuc3/F7u42Vqu1l1nd3NxgZeU69XoN\n", "p9NFKpUkmUz0/sXjMW17pRx9fX2k00kSCXXCJxAI4PV6tSC5TjQaAXS9JmCH6/GNRqNW2VDEbLYc\n", "6/Pg9fZTqVTI5dTA96S17fV6vfeeH5YuH3X4eVMrYqy8+uorXL9+DZvNxvve937m5uYJBoPaemYr\n", "73nPi/j9AWKxGJcvX+Ly5dcAeOc738Xf/bvf1Vtm0Gg0tB0SItTrNWIxdU/jmZkzPPvsC5jNFq1E\n", "O0On00GnU4PzYrF4bC/qaDTC3t4uVqv1ngPeQ4friD0ejzYxltMmQip0u10CgX4R9IpAQXgaiKBX\n", "eBocPY83NtTGJC6Xi+XlcyeuMW00Gqyvr9HptHvNR9T9c9WmTIlEglgsRr1eJ5lMEItFe5mx0dEx\n", "nE4nVqs681yv12m323i9Xm17hJT2mJg2k1+nUqmQTqdJJBLs7e3w+uuv8dprXyMSCQOK1kl0hGAw\n", "yPj4JFNTU/h8vl75m8FgwGg0EgwGyeUyxGJRul11O6FOp8P09Aznzj1DuVzWmjPpT9xyxWq1nRj8\n", "FotFFEXR9n1Uy6bVMu4K8XiMr3zlS2xuythsNp5//gKzs3M0GnUODg7odDq4XG7a7TZ+f4Dp6WlM\n", "JjOVSpVGQ93/93A7i4GBu2+v9CDULMQKly69TrvdBnTYbFbm5hZ47rnnbwsMPJ4+bTuZKM1mC5fL\n", "TSaTxGazMzgY1NbSpbQJhMEHHpfaRXqNbrfL3t4OqZR6DJPJTL3eYHR0hOefv4DX208ymeSzn/0L\n", "dnY2yeXyvXXmyWScdDrN8PAoIyNjvQtxtQR5oLeVlcfT1xtrraZeFB42QyqVinQ66t6fs7MSodAw\n", "zWaTGzeu9TqWz8zMotPp+P/Ze7MYye7rTvOLfcvY98yMyD0j16qszKpikcUSV1ESJbcpdxvjmddB\n", "w/Mi9MsM0A8DNNAvg+kBGoMBXwwbjZ5uDHoGbUsWZUmkSYo0ixTJWnPPiFwiIzIiM/Z93+fh3rxi\n", "sapImhZt2V0HKJCVERVx867/c87v/L5gcI9sNoPRaGR01Ec2m5UW0LOzc4CMaDTK3t6uZPolqCns\n", "X7wzxDg+DtPpdFAolPzsZz+lUMgxNTXN6uoqbreb/f0QMGBqaprx8YkHFufnC9lE4oxUKinNGVss\n", "Fmw2O5lMmnK5zPLyRRqNOvH4idiFU2IymTEajRgMBtLpNKlUkmq1Kso4px9ZkGm32xQKBVKpBNFo\n", "hE8++ZhEIiGZeun1esnlfWdnB4C5uXni8ThKpZKZGUEeur8fIpk8k/A759gnt9stfpaw+A8G94hG\n", "IzSbTbET3aHZbKDX6yW3b61Wi883Jqk8hoeHHzK1cjpdhEJBUqkEU1MzuFwuqShgNBofev/n41ye\n", "7fUOc3AQ4u7d21KybjAYKBaLtFpNhoeFUYpLl9ZYXFxmdHQUt9tNu92m0xEcmwWFg0OU2mq4cGFF\n", "Mmt6VAjJogun00Wn0+HkJEo6nRY7n8PY7Q7a7TY+nw+vd5hKpYJcrmBiYpJ6vQbImJycRK830GjU\n", "MRgMYodbRqGQx2Aw4PP5cTicTE/Pcnx8hFKpYnY2IOHpyuUyRqMRlUolybOHhoZwuz1kMhnOzk7J\n", "ZjPs7u6QTJ7R7fbQ6/U0my2q1SqTk1O89NK3sdsdaDRqksmEiOZaxWazi+M1Zkwm4Y9er0ehUNJs\n", "NgWYkssAACAASURBVOl02nS7XY6Pw6TTSWw2OzabHavVJnXCM5m0uD3C9Z7P5xkZGZXm1lUqNd1u\n", "V7puZTKZNGtbLBbI5bJoNBq0Wh2DwYBMJkMwKCC4xsbG8Xi8DxyTWq0mSpJ1WK12dne32d8PYTab\n", "+e53v4/H40Eul5NOCyQCQQkwInF+d3a26PUGWK1W5ucXJC79yUlU5BUXJYftwaBPKpXi4CCEzWYn\n", "EJhDrRYKOefjDdWqMOveaNSxWq0UCkXC4UPUajVLSxe+tsGkRqOVZn3r9ZpUeJmbm/laSe9vx+3j\n", "MREIBL4L/J+AAvizUCj0v3/u9d8H/i3QF//8L6FQ6FfiaxGgDPSATigUuvpNbuuTeBJP4kk8id9+\n", "nJxEyWTSmEwm5ucXH2vccXwc5vRUYAzK5QqJrWgwCBKrer1OOp3i008/Jh6PYbPZeOaZG3Q6Xdrt\n", "Nmq1Wlx8ZKhUqiLyponb7aXT6ZDJpMjnC8BAwq4I81lyut0eGo0Gs9mM3z9GIDCHyWT+Sl3Q09M4\n", "vV4fk8lCrVZlaMiK1WqlWq1ychJlZmaW9fV7nJxEsVgsD7EVz0PofAgsyVgsRqlUlOSEAgNTTq/X\n", "leaXT09jeDxeXnzx2xgMBmm+WKfTMTMzSzQaxWAwsLKySi6XxeVykctlOTg4JJfL0u12xLk+62+d\n", "G3q+X86Zxu12G5VKJXZ55x/LW11bu8LR0SH7+yFkMi/9fp/btz9hfHwCh8NBOm2TpJlfd5szmQzt\n", "dptMRkiydDqh+1+rVRkd9XHhwgpWq439/RDb25scHOzj8TgwmSz0ej2xm2Vie3uTn/3sJ/yrf/U/\n", "MzY2QSi0y/FxGLvdzsrKqvR9gkRykomJSWq1Gq1Wk263h1qtwmQySwmkkKRticmDH79/DIBQKChK\n", "By1YrVY+/PAD0UTLicMhzIS++OLLLC4u8uMf/zn37t3h9DTOlStC4v5lzOhzrqtcruDtt98ilRLM\n", "rKamprFYrBwdHaJSqZmbm3vscTMahTljrVYjJjoC53h2do7h4RGp43/p0hqtVovjY6FDZTKZcDqd\n", "WCxWvN5hPvroJgaDgaWl5YeuvU6nQyRyTCqV5OzslEIhT61WJZfLSxiVSOSYWOxEMtrq9brMzs5R\n", "q9Xo9bqMjgrdwEIhTyJxRrFYYmpqmkDgQRn10NAQQ0PTwBHxeFx0kHdI16ROJ8yOCh1awcBpbm6e\n", "6ekAR0eH7O3tcuHCygMzjkqlkrW1q9y8+R63bn3Ct7/9Hebn59nd3SEY3GN+fuGx0n3hnE8xNDRE\n", "tVrh/v17KJUq5ucXJMd2vV6H2exlfn7xgc6xzWbH7x/HbndwenpMJlMUkVMWcUQjz/b2Btevf+ux\n", "nbjBYCDuswTFYgGHw8n8/CLj4xOUSiUODkKMjPjQ6XSUyyV6vS56vTDLrNXqCAQCRKMRajWhM5tK\n", "JUWjM62Iv4kyMjLKzEyAer3O8LAPq9WOz+fnxRdf5qOPbkoYOUHF08NkMuN0umi1WhLuLZVKoFKp\n", "sFisjI76UKs11GoVpqenWVpaxmq1MRgM2N7ekhjSnzcfe1RUKmUyGaGzv7e3yxtv/JhXX/095uYW\n", "CATm6HTa3Llzi48+uonNJqiOhE5onmvXrvPuu2+TTiexWoXxncFgwMTEpOTEfG7kuLe3K52H/X4f\n", "uVwuqQo+H+HwEf1+H5lMzsFBSOQGe5ibm8dmE2TUvV6PaPQYuVzO+PgE6XRaUozYbFb8fj8jIz5O\n", "TiIolcL9qNVqotFo8PnGsNlsXLq0ytbWJtvbG0SjUT744D1arRY+n49arSbxq+PxGKencYLBXWKx\n", "E7Gw4WZhYenvzBCXyWR4vcN4vcNUqxWJv/x14htLegOBgAJ4HXgZOAVuBwKBN0Kh0N5n3vZOKBT6\n", "qfj+ZeAnwLT42gB4PhQK5b+pbXwST+JJPInfpRgMBjSbgtnQ3xW987sQuVyOWOxElDQvPDbhzWYz\n", "fPrpx8hkQkdgfHwCm+03XapqtSJ1ydJpgbXYarX59a8/xOv1SiYbg8GAbvc3SXC5LMxU+f3jWCxW\n", "iWVZr9fp9bq0201MJiuTkz7GxwUTnr+N8/O5PFWj0TA7G2Bra11EczxFNCoswBUKBTMzs+zsCJX4\n", "ixcvfaF5zXny22w2yeWyVKtVms0G/X4fhUKLVqulXq8zN7fIpUuXGBoySjxTk8nM/PwCpVKJUqmI\n", "1WqTpHiFQoFOp4vL5WJ3d5tyuSwmo2psNttvzfEahG7c1taGOMulQ6FQ0O12mZqakZK58+h0OuRy\n", "WWq1KjKZjKmpaRIJoZM6OSlgNj766ANeeukVJienWF8vEYkcf+1tPj2NiQvoBCaTEZVKQyx2gtfr\n", "ZWYmgMfjZW9vl2QywcHBPna7g5deegmHYwSj0UStVuPjjz8ilUqwubnBT3/6F3z/+79PPp8lHo8T\n", "jUYZHfU/Mtk0GAyPNHupVivs7OzQ7XaYmJiU5kLPzk7J5bIYjUbkcjlvvvlzul1BRWAymcQ58vMu\n", "kZYf/vCf8+abP+fsLM6vflUW1QVPfaFUPpvNUKvVSKfThEK76PV6JiYmJTdqg8EgdUEfFZ1Oh4OD\n", "fbxeL0ajiUajzsSElXa7RSi0x9SUYBh13qm+dOky3W6PjY373L9/j6mpaRwOp2T402q1UKke3N5a\n", "rcbu7jaNRoNk8gyNRsvMzCzpdBqTyczk5DRqtXAe5/N5bt36hEajweXLV3E4HBJP2ePxSmimePwE\n", "n2+M2dnZh9AxQgFim/v376JSKZmamkGhEApxvV5PmjutVisolSqpKzY+Pk69XiOXy7G3t8PKyuoD\n", "5+j8/Dzb2+scH4eJx+OMjo4SCMwRDO6xs7PN6KiPkZHRB+4PvV6PUChIpVJBrdbwi1+8QTqd5uLF\n", "S5I82mAwYDQKrOBHHSe9Xs/y8kXMZh03b35Ct9vB6XRSrVap12uEQkEymYyUqJ8nvwJGSDDdO+f5\n", "ms0W/H4/JpOZXC7HwUFIkvWfncXp9XoolSpqtRp2u5PFxSVSqQSJRIJ6XZjxnZmZFY3DmpjNZrLZ\n", "jDiGURI9E5SMjIwQiRxTKpWYnZ2TOpRjY+PMzAizuxqNBr1emMfe2dkmmUxJEvaRkRHUajXRaASH\n", "wynN056dnVIul0R/hS9PeAGMRhNGo0kybrt//y5vvvlLKpUqq6trLC1doN1uc/fubd5665dcv36D\n", "8fFJ9vZ2qFYrXL16jY8//pB0OoPf7+fs7FRyW5bL5UxMTOJyuUmlElJCZzSa8HqHH3k8M5mM6BtR\n", "QiaTifPwZkwmE2Nj49L7hHECoYhWr9c4PNwnlUrRarWwWGx8//u/R78/IJE45d1332F1dZW1tSuS\n", "2/f58Z6fX2QwgFKpTLVaJZE4ExVZakl5sbKyitPp4oMP3mdjYx2j0cgLL7xEu936rREKQMCAPa5w\n", "/FXim+z0XgUOQ6FQBCAQCPy/wO8DUtIbCoVqn3n/EJD93Gd8sy4bT+JJPIkn8TsQ7XZbwlr0ej1A\n", "kJSdz2l+04ZD30S0Wi0ODvYlM5vHdRGq1SrvvPMWzWaDa9eeYWnpgrToazabkitxp9Mhnc4wMTHN\n", "5ctXqNVq3Lt3lzt3bosSVR1ms4WZmVkuXlxhaMhIsVikUMjhcnlYWbkk7cdarUY+nyOfz0mLjHOT\n", "qnNW7hdVpwWJbEjqrA4NGclmMywsLNHpdIjFoiwsLLG9vUk0GmFubl7qeEUiYaamZr50/2m1WkZG\n", "Rh/6+dHRAXq9ntFRH0NDRqLRiJTwzs4GqNdrD8z+gZCYlEpFisUiOp2Wqalpdnd3KBYLKJUqnE4H\n", "09OzX7pNXzWCwV2Oj49Rq9WoVGqKxTJTU1MPGBP1+31isRPOzk7p9/vSvz3nSKZSSbxeD2azlZOT\n", "GMHgHgsLi4yO+ohGI0Sjx19pP342cjnhmEejEQyGIfz+CTY27gMwPj7B1NQ0+/shCoU8R0eHmExm\n", "LlxY4fLly+RywnLFYDDw8suvMDQ0xL//9/8Hv/zlX7GwsMzs7Bz5fJ6Tk2Pcbjd2u/0rXbelUpG9\n", "vV2R9zkrySOr1QrRaASZTEaz2SQYvIdcLufixQtoNGrq9bpoeiYTu5p9HA4HTz31DJ9++jGnp3F+\n", "/vM30Gp1rK1dfuz3Hx+HCYePpOPgdrtRqVQYDAbsdgczM7NfWKQ5ONin3W6zuLhMuVzm1q1PSKeT\n", "XL78FIeHBxwe7ot4kgaRyDHLyxdYXV2jUimxvb3Fu+++zQ9/+C+kbp9KpeLo6IDl5YvIZDIqlTI7\n", "Ozt0Om06nQ7Dw6O43R7J0VXgoMpJJpNkMhkMBgNKpRKVSkmlUmZvb492u43XO4xSqSQWOyEY3MNg\n", "GBJNyn5TXBsMBpLZXjh8KBXrFAoFtVpN3AbB7EgmkwMySqUS/X6Xg4N9DIYhLBaL2NFvcXh4wNzc\n", "vPT5MpmMZ565wS9/+Vd89NFNfvjDf47NZmdpaZlQKCheD2eYTCZUKhXdbpeDg5AkT11fv0c0GmV8\n", "fFxCBJ2bAr7wQuAL71lqtZq1tTUSiZzYjYvx3HMvMDk5xSeffCzO3u89slhzbijncnmkLnKhkGd/\n", "PyhxnQ8PD1EoFPR6Xc7OTpmdDbCwsEC73WJvTyjKzczMMjU1jdvtodvtsrm5TqPRYG3tCul0inv3\n", "7iKTwcLCIv1+n2w2y9HRAY1GncnJKYrFEsPDww88T9rtNpub99nd3UGpVLGwsCQyoZXcv39P7ERO\n", "StfUyUkUtVrN9PTf7t4BQvHglVe+i0ajZX39LrdufUKlUuKpp57h8uWr1OsNDg6C7O3tYDYLhctm\n", "s8nS0gV8vjHxHB8RCwZZtrdbBALzEpN2cnL6S7dBcCrfJBwOMzExicPhpNNp0+v1GB+flK7VarUi\n", "uq9rsdnsbG9vie7uAxQKBRcvXsJms0szy4NBTzKa+/xssd0uSJqLxTwff/xrotFjXC6hyy7I1xF9\n", "GASH/U6nQ7/fJxTao16vo9cbMJvNYtFvSOzMf3VG8W8zvsmkdwSIfebvceCpz78pEAi8BvxvgBd4\n", "5TMvDYB3AoFAD/iTUCj0p9/gtj6JJ/EknsQ/SJRKRYLBIN1uB61Wi8PhpNvtUiwWCIePyGazkiHS\n", "P6YIhUKiodPMY41aqtUqH354k1KpzMLCEhcvXpJeS6WSHB+HxflUI7VaDZ/Ph8ViJZ/PcXgomNDI\n", "ZDKGh0dwOl1iNV7oOE1PC7N7e3u75PM5jo/DTE5OAb/puPl8fqmjms1mKBYLEvZFqVSh0ahRKJSA\n", "gGQ552CenERFmaMOu91JqRRkZGSUp556mpOTCIlEgmw2w/z8AtvbW+zvh1hcXKZUKpJMJrFYbF95\n", "3vKzcY7C0ev1+Hx+0uk00ajAnVSr1dy5c0tkXkawWKzcuvUJtVqN09M4MhlSB3xmJoBcrmBra4P1\n", "9XtotRo8nuGvZKjzZVEul7lz5xa1WlWU1KVQqYRu93mC0Wq1+Pjjj0gmEwwGfZxOF06nW+zGDKQZ\n", "vd3dPZ5++hm63Q7h8CEGg4GxsXFRmpwSk5+vXvU/OYmyu7uDXC4UYmKxKLlclsuXrzI1NUMmkyaX\n", "y1IsFun1ujidTp5++hnkcrnIPy3T7QoLukBgjldf/QE/+cmf8x//45/xr//1/4rP5yMUCnJ8HGZ8\n", "fOKRssTPRjqd5ujoAIDZ2Tkp4eh2u4RCQTG5kpHJpNFotFitNnq9Lo1GD5vNjtFopNvtSoqAQiHP\n", "0JCRtbUrtNstotEo/+k//QfUajXLyxce+v5QKMju7g6np3EqlTIgcF+Hh4cZGxt/qCv/+YjFTigU\n", "8pKctF6vEw4fidLhPMvLFwiFBJbvYNAX3Yf3WFlZ5fnnX+Ls7IyNjXVAxsjICLOzAdrtNtlshmRS\n", "mNPd29uj3++hVquRy+XY7Q6mpqYlh9rx8QnUajVms5WtrQ02Nzdwuz08++xzRCLH3Lr1MUajkdXV\n", "yzQaDT788CatVosrV64+0BWrViscHOxTLpdJJE4llUS326Hb7WAw6NFohP1frwtmZJlMGqVSRSIh\n", "8MUPDw8YHfWh1WrRaDQSOuyz58HoqI+ZmQCh0B537tzm6aefwWQyc+nSGonEGel0ikJBEDjW6zUy\n", "mTR2u0Oahw0E5vjWt56n0+lI7O+hoSGi0SidTpfx8YnHFlvUajWXLq2Sz+cIh49wuz0sLS3z4osv\n", "s75+n0ajjt8/JhlZqVRKScr92SiXS4RCQQDm5xdIJpN0ux3MZjO3b+9gNJpYWrqAXm/g3XffJpE4\n", "ZXZ2jgsXVqR7jFKpZH5+kc3NDWKxE1HdpMZgGMJstjA1Nc3c3AJbWxvIZDIuX75KoZAnGo0QCgVZ\n", "XFyiUilz+/Ytjo/D0jGemppGLpezu7sjPn9mUavV9Ho99vdD9Pt9ZmZmv/bz1Gg0cenSKmq1imAw\n", "yMHBAeVyhevXb7C6uopMhlhIHSCXyyU+7cWLK8RiJ2xubvC9730frVZLOp2S1A5fxcW73+/zySe/\n", "JhQK4XK5mJubR6fTsbOzjclklu4f/X6fg4N9BoMBk5NTHB7uU62WGQwEpNLoqI/JySkRH7iHy+Xh\n", "xRdf5ujokA8//ICXX37loe92uVw8//yLJBJnhMNHhEJ72O0O6vU6h4cH7O3tMjExidvt4ZlnniWR\n", "OCUcDlMoFJDJoNfrks/nHjgXHQ6n5Nje7/elkaZvssj/TSa9g6/yplAo9JfAXwYCgRvAfwYC4kvX\n", "Q6FQIhAIOIG3A4FAMBQK3fyiz3I6v37L+0k8id+leHIu/7cRhUKBs7NjTCYNU1MLD/AIO50OoVCI\n", "bDbL2VmYlZWV36oE9ZuMREJg+U1OjrK09OiKurAAPqRSybK0FOC7330ZrVaY8QoGg2SzGaxWAx6P\n", "h3w+z+HhLiqVCoWiRyKRQKlUsrw8x+rq/4Ber+fg4IBarUYmk6FczpDJaJmZmWFpaYa7d8skk1Es\n", "Fh0zMzOfq2Qb8fmcwDzNZpNsNku5LMi42u023W5H5Csq0OuVxOM59HoVw8PC7/Xxxx/Tbrdpt2uo\n", "VAMuX75Mr9egVsuztDTD0NAqOzs7pNMnXLlykc3NTXK5UyYnh/9WbN5er8fR0Q5Wq4HV1VUGgwH7\n", "+5uk00kmJibQ69VYrW5OTk5QqcYwGAyS3LZareLxeJieHuPw8JDT0z4TE6PU6yXC4TB7e1tsbIzz\n", "2muv/R2OutAp+/DDd+j32wQCUwwGAzqdBoHANE8/vYbNZiSRSPDWW78QeZY2/H4/crmcfr9HpZJB\n", "o9Hw/PPP0O3WuXv3LsfHIa5du0YymaRWyzMYuLl6dYX19XXy+QTj419NCVEqlYhEQvR6LVZWVrDZ\n", "DGxuphkbG2FtbRmfz8n6+jpGo4ZCoYXNZuL3f/9VDAYFu7u7ZDIZBoMHlzUXLsxz756PSCTCG2/8\n", "V/7wD/+QVqtKNpslHj9iYWHqkV3SwWBAJBIhk4lhsw2xuLiI1WqVXt/d3UWlGqBSDdDrdXQ6atRq\n", "GR6PDYvFwtzc3AMy6cFgQDweJxwWEDxarZYf/OB7vPPOO+zs7PAnf/J/8Ud/9Ee89NJLkqOsgLLZ\n", "plBII5f3qVZLzM7OcuXKCs8888yXFmUKhQKVShaPx8ba2pqYRBi5ceMp3n77bWKxIy5cmMPn+xaH\n", "h4ckk0na7RonJ4f0+02uXr3KH/zBP+O//Jf/wq9//T4rKyt8+9vPoVQquXPnDsViinq9gMGgxGp1\n", "iigmBysrK6RSKXQ6BTMzY4yMCNtpsWhJpaLk8ybcbivQZHl5lnj8CJ1OSTYbJxgM0u83uXZtjRs3\n", "nkImk9Hv94lEIsRiMVSqAUplH6fTKpo9mfB4PIyMjDzA7hXUHDE++eQTgkHBfM9o1Ity4CJqtZVa\n", "rSAmvmdMTDxYUHr11ZepVvOcnobJ58eZm5sDwOu1Aot0Oh263S4bGxsMDzvx+/389Kc/RatV8cor\n", "L4pzvF1mZsZxOp1MTk4SDAap1wskErC4+HjvhImJYb7//Vd44403ODjY5tKlBZxOOzrdKpubm/R6\n", "debnH4+KqlQqhEIRzGYdS0tL9Pt94vEaY2NeEdsk54UXrjM3N87m5ibZ7BkzMxN85zsvPIJ/bMRo\n", "vMzPfvYzSqUSTz21htEoKHTi8UOmpqZ48cVn2draIpOJiedZn2QyyebmLbLZLMlkkpmZcZ599lk8\n", "HkGunEgkGAya4vNH6J7u7e2h0ciYng4wNeX/wnP7y8LpnEeh6GK1Dokc2yIffvgOTz31FAsL0yST\n", "Saanp8X5Yj3BYJBk8oTx8RFu377Nz3/+Y1577TUslnHS6TTp9Antdpnx8fEH2MnnIXT10wSDQaLR\n", "A7xeB3/wB69htVq5e/cuVquBtbWL0jkWDAZRq2FiYoZWq0IulyAWO6HTOXdOr3N4uM3x8TEqlYrL\n", "ly8zPT3Nn//5n5NOx8nnzwgEAg9th9Np5I//+H/kz/7szygWs0xM+Oh06sjlfdrtGiaTlhs3rqJU\n", "KvH7XUxMjBAKCYUGv9+P2WymVqtJ95+NjVvU63Xcbjdut5tiUUY2e8r4+DjDw8MPfT8goaK+bnyT\n", "K6hTwPeZv/sQur2PjFAodDMQCCgDgYA9FArlQqFQQvx5JhAI/ARBLv2FSW8m8/V3xJN4Er8r4XQa\n", "n5zL/w1Eo9FgY2OdwaDP/PwCarXpoePudo9RrbaJx5OUy58yNzdPtVqh0+mi1WowGk2/c9LnTqfD\n", "vXvbWCw6bLbhR57LtVqNzc11EokEWq2J4eEJKpUO0WiS9fV75PMFFAoFdrudZDLP/n5IMkEZDKp4\n", "PD7GxiYYHfVJScXExDzh8BE6XZs7dzb54INf43Z7GBsT+Ivh8BFbW3v4/WOMjU1gtwsOnJ+v+Gs0\n", "ZpxOM58vvFerVUKhPTQaI263n16vy6effoLN5mJiYopSqcjOToh4PI3f76fX63H//g6Tk9OYTE5O\n", "TqLU6zvY7S6Oj8N8+OHtRxr2PC6Ojg5IJvOiSUqFX/zirygWC0xNTeFy+fB4vCJCI0qt1kGnU2Kz\n", "ecjnS/T7MmQyFYlEFr3eTKFQpdU6ZWjIilyuJBqN8dZb72A2O1laergj+FVDmE0M0Wp18HqHiMWi\n", "NJsdPB4fvZ6Ke/d2ePvtt+h0OiwuLrG6elly8q5Wq6TTSVKpFKlUAZVKj8FgJhKJIZdrCAQCJBI5\n", "yuX7LC9fQK02EoulUKn2H2CzPi7ef/99dnaCeDzD2Gxe7t5dJ5MpcP36EhaLh48/vkuz2aTdbnN6\n", "mmZubo5EIs/t2xuYzTo6HRkOhwu1WoNMJqPRqNPvl1hdvcbxcZQ33/xr5HINY2NjVCoNNjd3cThG\n", "GB+feGA7KpUy4fAR1WoVrVbL/PwM3a5Suk6SyQRHRxFyuRw2m41crkwqlcdsNqNQ6BkdnaZe71Ov\n", "P3hdabUW3O4xQqE9Wq0GDoeTGzdeQiZT8umnn/Knf/ofeO+9m5LT+bn8VkAulRkZGWZ5eZULF67S\n", "76u/8BnUarXY2Fin1+uytDRNsdgEmgAYDHYsFheHh0d89NEdLl1axWYbRqMxI5fryOXKrK9vEwqF\n", "GRsbp9XqcXqaoNsd8G/+zb9lelpYbB8c7KNUKrh0aY1Uqoher2NycpRstsrGhiBZ1umsZDLCLP/e\n", "3i7FYp3V1adFHFGMk5MoZrMFg8HAX/zFG+TzQld/aeky2azQGQ+Hj6RCwWAA4XAMpVLJ7GwAv38G\n", "o9FEswnN5m/2R61W4/DwBIVCi8s1gkIhp9Vqc3oap9uFTgcKhSo2m4b19R0ajR6XLq09UABZWlrj\n", "/fd/xVtv/YpGo8/oqO+BfXx2dkoymcdqtfGrX93k4OBYRLLpyOVKVKsVLBYlVquXVkuG3z/L/n6I\n", "4+NT0ukiCwtLDxXVztcWSuUQk5NzfPrpx7zxxi/57ne/j0ymQqczc3qaYDDYkiTBn41qtcrOzrZk\n", "ENZqybh3TzgP+n0le3sHeDxeXC4/4fAZb775DoMBLC9ffmgfnn/e0dEB/b6SdntAoVBndHSaXk9J\n", "PB4jmbyNwWCgVqsTiZyRSGSxWKzcvr0umRmurKyyunoZhcJAJlOhWq2wtbWJTCZnaspLJlMRr6lj\n", "jEYjRqPzt7K+sttHiMVSDA3ZMJnshEJBfvazX2Iymel0Omxu7jI3N0+vp6DdHhAMHuF0Ouh24fbt\n", "u5ydZVhbW0On09No1On1wmxvh7BabdhsggN8v9+n2WxSKBTodjtEImHUagPXrj1Pt6tkb++YWCyF\n", "0+mi0RjQaFQ4PY0TiRyLheAo9+/fJZfLYjZb6HR6uN0uvN5xwuEjCoUKdruDo6MY4XAcvd5MOBzl\n", "r//6PeRynYRXejA0rKxc5e7d2zSbA65ff0n0r4gRiZzywQefsLCwJJov6hgdnWJ3d5eNjT28Xi8T\n", "E1NUq11qtQ4qlR6VChqNHqVSA7vdQSwWJxyOiWi0ZUkGLRienZBMCozh11579Wsdt28y6b0DzAQC\n", "gXHgDPjvgP/+s28IBAJTQDgUCg0CgcAqQCgUygUCAT2gCIVClUAgYECQPX8te+on8SSexJP4XYvz\n", "eZder8vMTOAxDxchJienabXaBIO7HBwEcbt/I5XTaDRMTEx9LansNxUnJxG63Q7j4/MPmHGVSkVS\n", "qRS5XJa9vV0J1aDV6mg06rz77ttkMmkUCgUOhwOXy0OjUSeRSFKv1xkbG8ftduNwOEWW5INGXyqV\n", "ipGREVKpBEqlnFKpRLlckpA+o6OjbG1tkkoJc3CFggOZ7FB0AXU+MgGG867OiSjFFbix9XqN27dv\n", "oVareOmlVxgd9dFut9nYWGdvb5t4PIZWqxVdJ0fw+fzUajVyuSwGgx673UEul+X4+OgrzXHl8zmS\n", "ySQGg4GhoSHeeOMnVKsV5uYWePrp69Li9ty91mq1YTKZicdjgJznnnsRq9VGJpOmUimLc20aLBYL\n", "pdIYxWKR3d0dbt78G8xmCz7f374TUiwWuHfvDp1Oh+npaUqlMpmMgG+Zn18kGNzj7bffpF6v3gib\n", "GwAAIABJREFUs7q6JjrudqV/f+6YOzw8Sjh8RD6fx+v1EgzucXx8hNfrxesdptfrsbe3y/z8Irlc\n", "jmg0KuFXHheJxBnr6/cYDGBhYUlMdsKMjIxw4cIKicSZZCCXyWREHqZcMmG7cOECvd6j5ZCjoz4q\n", "lRK/+IUwpynIYQW8yUcf3cRoNKJUKsXjn6NcLgHgdnuYmJh8IBGq1WocH4dFdqwJhUJBoVCg1+sx\n", "OTn9wEz0o0KYvZsnFNqjWCywtHRBXEQ7uH37E05OIpTLJQkzEomE6ffB4/Hw7W9/T0x+vrgII+x/\n", "YcZ2cnLqIfSUoMC4QCqVZH8/KKJoHKIh1jzT0zPcv3+PePyEo6NDXC43BoOBfn8gzoPGUSgUxOOC\n", "CdxgAEqlgrm5OXK5DEqlimazidfrlY75yUlUkllPTEwyGAzY3FwX2apJhoaM5HIZtFo9BsMQ4fAh\n", "1WqVarUqjUcAfPDBe4CMCxdWmJubf2SXPpE4IxI5pt/vMz4+wbPPPsf+fohY7IRmsymyb2tcufIU\n", "JpNJNIoKYTAMMT+/IH3O2Ng4y8sXWF+/L3KRW0xMTCGTyUSPhxMUCqXojryPxWJlYWFZwraYTCaG\n", "h0ekopHgnTDP8fERiUSC7e1NFheXH2uIuLx8kWg0wslJlP39IIHAPGNjExSLRc7OTrHZbA+4Sddq\n", "NXZ2tul2O0xPz+JwODg8PKDTERjT9+/fRaFQ8vTT18V9+T7tdptr156RsGiDwYB6vU6lUiabzUru\n", "9LOzAfT6S0Qix+zu7rCwsIDT6eLkRBg/6Pf75HJZ4vETtFodcrkMo9GI3e4gEJiXOpztdptgcI/B\n", "YMDcnDDjnMsJUm6lUkUgMP9bKxKrVCoCgTm2t7dQqVT83u+9xu3bn5LNCqMGcrmMcDiMzzeGz+cn\n", "Foui1ep59dUf8N57vyKTSYljKDaRVqCjWCyK9xytNIKj1xvQarWiuZdPLCq4xPnzKDKZTLpfC54R\n", "x7RaLZrNJkdHh1QqVaanZ8WZ2iH8/jHa7RYul4vFxSXGxsYld/Bzs7RQKMjQkIlvf/uVR54/09Mz\n", "xONxCoUclUqZtbUrqNVq9vf3CQb3AJk0kjU0ZOTixRV2d7dJJBIUCkWazQYKhYJr165jNptF3vMh\n", "R0cHDA+Pks1miUSO2dzcIBAIYDKZSaWSyGRyjEYTLteXFzkfF98Yp/dHP/pR//XXXz8A/h/gR8B/\n", "DoVCPwkEAn/8+uuvX/7Rj3509/XXX/+XwJ+I/30J+Jc/+tGPzl5//XUf8Nbrr7/+PwF/DPxFKBT6\n", "v7/kK59wep/EP4l4wun9px/Hx2Hy+Txut+dLE4xOp0MymSAajVKvN5iYmMTn86NWq6lUKmQyaYDH\n", "4i7+PqNarRAOH6HX61lZWaZeb4tmMsLcYDqd5P79+xQKBRqNGv3+AL1eTzabJZNJoVAo8Pn8eL0j\n", "GAwGer0u2WwGm83O2tpl0V3X85B0bzAYcHIS5fDwAJlMTiAwL3FBi8UCjUZTwjkoFEpkMpnk/Fmp\n", "lMnn85ydnVIqlWg0GtTrNeln4fAhlUoFrVbL7GyAbrfLzZt/g1wu5/r1G1IiVijkaTabZDLCnGan\n", "00Gj0aBWaySmY6GQF4+7m06nQz6ffyy/9zza7Ta7u7sMBn2MRiMffXSTSqXC8vJFbtx4TlqY93o9\n", "PvjgfarVCgsLS5IR0sTEJDduPCcibpzU63WRYyzM4LndHiqVColEQjLMMZlMj5AiPj5qtRq3bn1C\n", "KpXCZBIMS3K5HLVahampafL5Aj/72V9SqZSZmQngcDilIkg+n0On00lzg0qlEqfThU6nIxKJ0GwK\n", "SJ1isYjP5xdZkyUajTper5d8Pker1cLhePRMXK1W45133ub4OMzFixexWGzs7u7Q7/dYWVnD5/Nz\n", "dHSAQqEQu7xC0mWz2XA4nCwsLOFy2R57Tz43UMvnsxQKgqRVo9FSKOTJZjOSTL5YLNBqtTCbLczO\n", "zuL1Dj+QwAoGNVsUCnnkcgUmk4lSqUgikWBubp6VlS92/T6Pc05tLpejXq8xP7+I3+9HoRDmM51O\n", "J1arnXq9JrFVv/e9H/Dccy88VhLbbgtGOefM4EqljNfrfezMr8FgoNFocHIizJmeczYB5HI5w8PD\n", "ImIoglarwefzMzY2zsTEBEqlkOgJs7EakskEOp2OdrvD/n6Q999/j0Ihj93uoFgsEokcs7cnOF+f\n", "c1GTySQbG+s0GnX0ej1nZ2fY7Q5GR0dIJBIcHx+LCCMfs7MB+v0e77zz1/R6PZ5++jrz8wsPFRfa\n", "7TahUJBEQmD7BgJzDA+PikU6p2je06NSqZDLZaVr1OFwcnZ2SiaTETnfwnUlk8kkE6Lze0+z2UCp\n", "VBGPx6jXa6hUSoLBPQqFHBcvXsLhsFMul+l0BI51IDCHXC6n1+vRaDRoNOp0ux3S6TT7+yGCwV0K\n", "hQKJxBmJRIJGo0I+X0KlUqHRaHC73QSDQU5PBeMpjUaD0WgknU5RKhVxudzI5XJqtRrb21tiwitg\n", "fgqFPJHIMVqtlmKxRDx+wuLiEvPzC+zu7rC9vYnVahfdm5OcnEQlNE+hkKfVamIymZmenmFkZBST\n", "yYRarSaXy5JOp5HL5fh8fkZGRiV+biJxRqVSxuXycOPGt9DpdOTzOdG4TMXOzhbNZhO/fwy320M+\n", "n5PMthYWFh7pnP53CY1GKGyeG8ldu/YMarUak8lEv9/D7fayvLwsJoBqFAo5MzMB5ubmKJfL4vNu\n", "TEIMaTRqPB4vBsMQcrkcmUyGTCZHqVR+ZqTnIiqVSpR2J3C53AwNGTk6OiSROCOfz6NQyCUutd8/\n", "hsfjRaFQotFosNkcnJwIOLv5+UUpMT1nayuVSuLxOMfHR7TbbcbHJx6672i1WtrtFmdnZwwGA2w2\n", "Gz7fGP1+j3Ra8EUQjq8JjUYj3dOz2Qzr6/ck00q1WiWiBds0mw16vR46nWC8p9XqxGdYlKOjAyqV\n", "MjKZDINhCJkMJib8v3uc3lAo9Evgl5/72Z985v//HfDvHvHvwsDKN7ltT+JJPIkn8Q8R1WpFWsid\n", "Gys9LprNJltbG7TbbS5dWqVSqdBstrDbHXg8QufrnIsnl8sfksj9fUc0GpXMM2QyGdFohHg8RrFY\n", "oNlskk6n0et1jIyM0usJBiwOh4NOp4tOp2NsbBy5XEGv12MwELrhs7NzXLly9bGGReemPwK+Q8PM\n", "zKxUABgZGeX9998jlUqiVCowGk3o9XrqdaGYoNcbWFxcFnmf2QfYuOcxNDSEy+XG7faQyWT48Y//\n", "K8Vigfn5JdLpFMfHR2JHVYbZbMbj8YozaXHJ6Mbn80tOsBsb60SjEaamZojFokSjEXHm6eEEQlAE\n", "BKlWK8CA7e1tGo06ly6tcuXKg76Qh4cHZDJpEc9k4c6dW+j1Bp599jlpAX+OLhkMBty/f5dKpczY\n", "2ARPP/2MZJz29ttvotVq6Pf7j3SP/nw0m012drY4PY1jNBpxOp1UKlWpC9FsNkX0i4rnn3+BK1ee\n", "Qi5X0Gg0yOWy5HJZdna2GR4eYWxsXOrE+P1jXL0q/I6lUpGTkyg7O5v4fH6cTheZTBqtVic5oZ7z\n", "ZT+/bZub9zk83Mft9jAy4qNYLJDJpBgZ8XPlylX290MMBgOUSgWRyBmNRgOvd5jh4ZEvvT7Pw+fz\n", "88wzz5LNCr/P9PQ0ZrOZs7M4uVyOtbUrWK02zGbzYztvx8dhSqUS9XoDj8eDSqUkGo3idDpF+eZv\n", "Fp7n7qhyufyR6gRBjVCXzs+pqRleffUHrK/fo1ar4nJ5+OijD7BYrCwuLjM+/rBy4rwAkMlkJHdY\n", "YVZygNPppNlssbW1gUqlxmq14XQ6pfNMJpOxsLBIJpMhEgkzNGQQjY2ErmShkKdarTIxMYlGo6Hd\n", "bnF8HEajUZPL5Wi320xOTjMY9Mnn89IowsFBiNPTuDhHWcBsFpySdTodi4vLnJ2dApDNZmk0mkxM\n", "TDM0NMTkpHA8LBYrlUqZREK4/57/Tjdvvk+32+XZZ7/F3NwCn49UKkUkcky328FisTIzM/uAsuCc\n", "t9rv92i1WmQyaY6Pw2xtbfLaa39Ao1Fnff0+n376MS+88JJU5BKMpdZQKpVEo8fs74dEpnFc4oeH\n", "QnvYbHY6nbZo+ldAqVSTSiWJRiNistBFLlfQarUYDPriPi5SrwsoquXli1itFgqFAsVinXg8hslk\n", "wu8fY23tCrdufczNm3/Dd77zPYaGjIyO+ojFTgiHjxgeHpZwWucJb7fb5fDwALlcjlyu4PQ0jtPp\n", "Yn5+gXQ6zd/8zbvkcnn8/nGOjg6lfXTevTQYhrBabQ+dcx6PF61WKyKlYsTjMdGEqk+v12ViYpJs\n", "VlBiNJtN3G43kUiUTz75mE6njc1mY2pqBrvdQTh8SCKRQKFQMD+/8IWFxb9LjI76KJfLEvt5YWGR\n", "g4N9Go0GR0eCA/jly1dF3No9IpEwKyurLC4us7e3LamHzg3pBoMBZrMZu91Or9cnn8+xsXGfdruN\n", "RjPO/ft30Wg0hMNHtNsdFAoF6XSKwWBAsVjEaDSSy2Wx2x30el3sdgdarZZarcrw8AjHx2EUCsVD\n", "bGoAk8nMlSvXUChUvP32m1Ix6dq165Kr/Hn4fH4JnXRwcMDFiyssLV1ALpdzdHREMLgnjSR5vV50\n", "OuHaP+db3717B7Vag0Ihx+32cPnyVYnU0Gg0uHLlKex2B++++9ciF9iP0+mmWBT284svPvu1jtc3\n", "1un9B4gnnd4n8U8innR6/+nGYDAgGBQqm+fOi4+LdrvN9vYmrVYLv3+M2dk5FAoF+XyObreLzWZH\n", "rVZLUtl8Po/RaESr/YdBAZwnJhaLlZGRUaLRI9bXN0gmk+h0OkqlIgaDgQsXLuH1DtPv91Cp1CiV\n", "ShwOJ4uLyxiNJqnjdnIS4ezsTKzyW1Cr1Q9VnAWe5pY432ZlaWlZWljDb1AbwmxUC4NBLzniJpNJ\n", "crkcpVIRs9ki8VHPF9jnnSyPx0uz2eLevTv8xV/8fxQKeWZn51hcXBKNrzIoFEqMRhM2mx293oDP\n", "56PZbJLP50TZpQWPx4tSqcRoHCKTSVMqFRkfnxS7yjnq9TpGo+mBblswuEsoFKJardDv92m1WszN\n", "LTyUBLVaLd5771d0Om2eeeZZcb6xwOXLTz2UuCoUAlMzm81K0k8hITATi0XJZDKoVCparZboimt5\n", "rCSwWq2wvb1NKpUS8UQq5HIFBwchotEIfr+fRqOOVqvjW996nmef/RYajRa1Wo1er8fhcGC1WkW0\n", "VJ5arYbD4ZC+z2Qy02jUGQwgm00TjUbR6fRcv36DUqlIoVDA4XDSaDQoFIT5x/NkpNFosLOzRSgk\n", "LL5mZmaRyxUEg7vodHqefvpp1GoNZ2dxVCo15XKZ7e1NbDYbV69eeyDh/bJ7slqtptvtiSisPJVK\n", "BafTiUwmQ6lU4XI5mZkJPLaTep7ACIm7G6/Xy6effgLIeOWV72E2m6nX68RiUcLhI6LRCGdnp5ye\n", "xkmlktRqNeRyuSSpB0Q2c17sPmuxWq2YzWYymQy3bn0iJddut1vC8pxHMplgb2+XcrmEQqHAYDCQ\n", "SCSIxaIkkwna7TbC18io1+vk8zmy2YyEEQLEjreGYrFAPp+j0WhQrVZJJs9EN3EZy8sXmZubZ2jI\n", "KHUT+33BrT2VEljNBsMQWq1OYqR6vcPivKqKeDxOp9OROoVG45CEUtFoNFgsVhQKBRMTk8zPL4rX\n", "9bA057+7u8Wbb/6CZrPJjRvfkjBJcM6PFji0grRSxsTEJJOTjzYnk8lk2O0O2m0BaxSNRkkk4szP\n", "LxIIzFGtViVTOa/3NyZ2KpUKu90hmWoJ0vSiOMN5jEKhZGYmgEKh5OQkQjKZoFIpS2g0oatcpV6v\n", "YjSamJiYYnp6hvn5RUwmgZtcqZSxWCwsLy9gNNro9/si8zyNXq+nXC6TSqUwGk04HA5MJjPFYoFo\n", "NEokEkaj0Yg4LaGodHCwL6lfzguF547IP/3pj4nFYkxNTbOwsMTIyAh+/xiTk1N4PF5sNjtDQ8bH\n", "XgvCsRak6+eSd5VKhdVqY3p6huXli/R6PYrFApVKRUQbZajX62i1WrrdLsmkwLvV6XTfaMJ7HhaL\n", "lUwmLd3rh4dHkMlkZLMZTk9jGI0m3G4P/X5fIg74/cLISyqVFO/JLiYnp2m32yJnvYRcLqfdFrr6\n", "MzMBRkZGpGdXMnkmOV2fOyALHdi2pGByuz14PIIaxmQSCgWNRp2pqekvHKmy2ewoFAoymTSNRpNm\n", "s0G328Vstkjnvk6no1wu0Wg0gQGNRl2UXrtRKpV0ux3xOAgqndu3PyWTyeByuUkkztjfFzBWfv84\n", "CoWCbDZNvV4jHA6zvx/k5CTKwYEgn5fLFbTbLWq1mlQ8nJ+f/Vqd3idJ75N4Er9j8STp/ccb3W5X\n", "NJIIi4ueUyqVCoOB8JBIp1OkUkmcTtcXdtH6/T47O1vU63VGR31SF9BoNIqJlMDW02iEWR+TyUQ6\n", "nSafz+N0Ov9BXJ4PDkK0Wi1mZmbZ2dlhd3eTYrEizbsKUtFFvF4vGxv3yefzuFwu/P4xRkd9pFJJ\n", "wuFDolFhYbe7u02r1cJqtZFInLK3t0s8HpPMhjKZNIeHB5Ks8XE80XO5aa1WQa1WEwjMoVKpUKlU\n", "dDptYrETIpEwJydRGo06arWAzeh0OkSjEe7du836+n1CoSCNRoOVlVVeeunblEplUqkEarWG2dlZ\n", "Rkf9wIBcLicuuoUORSaToVarMjU1g1arRavVotcbJETS2Ng43a6wiEskzqQFz927t9na2qDf72Oz\n", "2ZHLFYyMjHLhwsWH5ld3drY5OjpgenoWhULOyckJTqeL5eVlKQn5bJyrAg4O9slms/h8Y+j1ehGD\n", "kqJSKeNwOEmlkrTbbQwGwwPYkn6/TyJxJjFaOx3B4brX63F4eMDBQQi73cbY2ATdroCtun79xiOP\n", "j1qtkSTWxWJBZCULCaNKpaJWq2Eymeh0usRiAsvaYNBz6dKaNBfodrulbovd7qBcLrG3t0ulUiYS\n", "iUj4mVgsRrfbYXR0lCtXrrG/H6Tf79Pr9bl37zZarZZLl1ZZXr74wDZ+lXuyTqen3++J5l1NVCo1\n", "arWGUqlIo9Fkenr6kV3eSqUsymYTOBxOhoeH2dsTZnKvXr2Gz+fj6OiQcPhIupdYLBaxwCUsciuV\n", "MplMhlQqSa/XQ6PRis6xVtLpNIVCDqvVRrfbJZFIcnCwT7UqmNjMzS1IuJR+v8/R0SGx2InEN7VY\n", "LKTTKdJpISny+wVncKPRxNzcgoT9KZWKEif3vKtjNptFc7UWvV6PbrcrSbwDgTksFosoWTTQajWl\n", "bXr++ZcplYoolUoWFpbE+WY5Q0NGlpYusLZ2mXa7hUajxesdFrtbOdLpFJ9++jGhUEhK9AOB+Yec\n", "YPv9PtFohN1dYUZ1fn5BlEGfkkolOT2Nc3ISlQqMTqeLQGD+AYftR4VcLsdms0sM3Wg0QrFY4Fvf\n", "eh6Xy02pJODEWq0mDodD5CwLkn6Xy00ymSCRSIh4NEGybLfbcTqdbGzcJ5vNoNfrmZqaYW5unitX\n", "nuLy5aek42C1WqXj/tlEP5/Pk0ic0u93abd7TE/PiN36JqVSCRhwehqXZOU6nY5KpcLW1haVSplL\n", "l1al51UsdkIicYZSqRQLAwIjvNvtcOfObeLxGNPT07z22r8QTdOMqNXqv9UsrVwux2g04nK5xU7h\n", "MHa7YO507vlw3sE0m83MzS0QCMxJRUOj0cjIiI+pqUdfc7/tUCgUoiw8TaFQwOVy43A40Ov1hMNh\n", "YrETfD4/brdbKniOjIxK0vR6vUaz2aRWq4nIPSOplDCXnUic4fF4JbWIy+WiVCridLp47rkXGBsb\n", "I5cTikpKpTC6k04LOLfRUR/5fI5+v4/JZCKfz2Gz2R8y1/t8KJVK6V7d7fZotQSTulwuJz4LdOLv\n", "raRer9Htdun3+9TrdZxOFw6HU5RoK+h02hwe7pPJpOl2O1QqVbrdDoOBUCwsl8toNBp6vR5yuRyH\n", "w0Gz2ZBY6mtrl1lbu4JOp0OpFFQtOp2OQGD6SdL7JFF4Ev8U4knS+48z8vkc29vbFAp5ut0uGo0g\n", "Ea1WKxKvMRo9RqvVsbCw+IXzeYeHBxQKBdxuzwMdp/MFYiqVolar4nZ7RJyOBpVKRS6XpdFo4HS6\n", "/j5+ZSkKhTzxeByr1cbR0RFbWxuYzUPMzi6I26dmZGQEr3eEN9/8BZlMhvHxSbxer2jec0SpVKLX\n", "62GxWMUuowafb5ReT5iTEzoTwmzY0dERR0cHZLNprFabJJ96nMmPwWBgMBiQz+dptVriPN4IdrsD\n", "m81Kp9MVWb5H3Llzi1/96h0+/PADNjfXOT09FRPtFm63l7GxcUKhIIeHQsLncrnpdntUq1W63S4y\n", "mYx4PEYqlaRUKokS3wb9fp/JyWlkMhl6vR693iDKe3OYzRaMRhOdTptEIkEoFCSTSWMymaW5PYNh\n", "iMXFpQc62SBIOXd2NhkMBkxMCEY01WoFv3+M8fGHHVjPQ6VSYTKZpGTf5fLgdLoIhw+p1WpYLBZs\n", "NrskOatUKtIMuTCTnkOhUKJUqiiXSxwfH1OplKlUyuK2CF0Lq9XGd77z6hcaTQmLHSfVapViUXAq\n", "FZi9golRLpfF6/XSbndE11GBR+t0OimXy7RaLZxOF8lkgu3tLfL5HCqVinQ6RbfbYWjIRLGYFxfT\n", "/z977/Uk2Xmmd/7Se+9teV/VDt3oJggQI3I4FMdwKE1ICkbsXuhi/6G9UOyFLjY2RhGKiWUoNjQa\n", "DkUrckASaLQvn+Wy0nvvzdmLc/KgC23Q3WiADTCfCFygKjsr85jvfO/7PsbK1tZl+v2e/B0ODnap\n", "VmssLCzyne9894kN+ousySINc4heb+Dk5IRer4PVKk4wh0Mxh3Jubv7Ce7daLSkOKYfRaMDr9dHp\n", "dDg42CMYDLG6usbe3i7NZkOm6S4tLeH1enG53Hg8HkKhMA6HmG3ZbLYkTWuGer3OaDREq9USj5+x\n", "t7dLu91GrVah0Wgk92gDJpOR4XDIcDiUpi/isfP5fNKkKsXp6YmkRV7h7bdvEQ6HqVQqEtXULkf6\n", "lEpFCoUCRqMJo9GIQiHm/tbrddRqsYheXV3D7/fL18NoNJLkCVVCoQh2u53T02NZs6rVamm1mjx6\n", "9IBOp8Pa2jpHR0eMx2M2Nra4du06FotVMmWrUyqVMBj0BAIhqZHTp91u02qJBlDpdJoPP/w9R0cH\n", "2O1O/sN/+BErK6uPbfLFe1jUOfpkSu+LNhJVKpXMONjefkg2m5YKszVcLhfVaoVEIkGv15On6Eql\n", "kkwmze7uNiqVknA4SqmUZzwe4fcHaTQa9PsDfD4fb799k7/6q79hfX2DUCiM2+2Ri0OLxUK325Wv\n", "gcFgQDQ6g9frk6ajJfL5otRYchONzmA0muj3+9TrdY6PxedOvV6l3W5L7AA7vV4fm81GrVbj9PRY\n", "cuZVyOuBGF/VoNfrMjs7xzvvvPtCjuqfBxPtrN1ulynTTqdLLjhNJtOXmmzwuL632Wzi8XglCreW\n", "01Ox8F1YWMJstlAsFmi1WiwuLlEqiZpks9lCs9mQm6Fqtbi2ms0WSTddwWQyU6mUKRQK+P0BPB4P\n", "Bwf7VCplDAYDw+GIfD4nyWyCKBQK6vUaLpdb0j5r2NjYfCFvAIvFQqNRp9NpYzabUSgUqFSi0d9o\n", "NMJms2M0GmVPEaPRRL0uNmztdjt2u11q9NRIp1MMBgM0Gg3jsUAwGGJr65J8zAwGA5cvX5PZVuOx\n", "IBkK2vnmN9/D4/EQjYraZ0GAXq/L6urStOidFgpTfB0wLXq/esjlxOmJQiFqEVdX1wgGQ/KmRKVS\n", "EY+fSq65Wkm79HQaciaTJplMYLFYnuo2KWrg+rJpzsS50my2UK/XqVYr8qbzy8LBwR7dbpdUKsXZ\n", "2Ql2u4O/+Zu/JJcr0uv18Pn8GAwGfvnLn5NMJrDZrLhcLtrttmxoEolEWVxcRq/Xc3JyTL0u0o61\n", "Wh2zs3NsbGwRCkXI5TJUKqL50daWqCEql0tkMqIeU6VSyg/Tx2G322m3RWOrwaCPyyV24i0Wq/xQ\n", "H4/FHFa9Xo/H45Udc4PBEAaDUXbbnRTA3/zmu8zOzhEIhPD5fDI12uPxSFTOLJVKmWq1Sr1el2hu\n", "ojmM0WjE4XBK9C9xwjkajeQN0Pr6JtHoDLVaDY1Gy+bm5hO65omTbjqdwu8PIggCtVoVh8NJNDqD\n", "1XrRWffTsNlE+nA6ncJgMGAymXC7vTx8+IBGo86tW+/gdDqpViskkwkqlTL1eg1BGEuOu2O2tx+R\n", "SCQwGo3Y7XbK5YpE2xcwm8389V//4EJG6bMg0kNdstmXVquVNnwiQwJEym69XqNerzMeD9FqdXIE\n", "UDKZYDQaUSoV6HY7CIJALBajVqvKxj0Oh0veQE0ceE9Ojsjnc0QiM7zzzrtPNYR70TXZYrFSq9Xo\n", "9/uUyyUGgyEOh4NkMkmn08Hr9eF0ik7rEzfccrmIICAZiNm4fftDFAols7NzlEpFlEol8/PzLC4u\n", "yYUkiMVZoyHmSQuCyAaIRqPo9QaGw4HMGGi1WnLjTaPRMj8/TyqVIhAISjpUgVQqwUcffSgfQ6PR\n", "RLPZlB3WvV4f8/MLrK6uoVar0ev12O12CoUC5XIJu92B1WrDarVSLBbln2m1onzBbrdRKBSlYzJA\n", "rzdIBUKZw8N9Go06NpudS5cuo9fruXfvLs1mg6WlZUKhMPV6g1jskFQqSTKZxOl0srKySjgckSab\n", "dvmYLC+v8IMf/BvZ4bbVatJo1CU6fJlY7IB6vUYoFOF73/s+TqcTvV6Pw+GUdN9hgsEQXq8Pm832\n", "SqwZkbLskuQXIv0/EpkhGp3BYrHSbrfJZtOMRiOy2QxHRzH+8Iff0et1WVlZk2jrORYWltjcFB2Y\n", "bTabZNB3BafT+dSCzmAw4PP5pfMnriu5nFgEiQWujnK5Sjx+Sj6fQ6vV4fF4sNnsjMf4vCYuAAAg\n", "AElEQVQCBwd7UtOojN8f5N13vyWxBbLs7OxKDth6xuMhqVRKagh2JGdh0XwwFIo8QZf/U4HVapPv\n", "mUnjbtJwOD+Pk8vlWFlZZTAYyB4UTqdLauKZWVlZlQwWTXi9XjY3L7G4uCQ/78Vr5QiTycTKyhpH\n", "RzHK5RIWi4XRaEShUECpVEnPIg+pVFJu/AwGA1ZWVl5oLQakxo+ZRqNBsVjEYrHgdnsQBJGiPZEF\n", "6XQ6yuUybrdHljNksxna7TbFomioNhyOCAbD2O12FheXMJutstFjvV4lkUhweHhAp9MhnU6TyaRw\n", "u91Sw6yGw+GkXq/J+bxKpYr5+VczspoWvVNM8YZhWvR+tSDqvg5RqdRsbm7hdnsuTBzFiZpNcngc\n", "4XA4KRaLtFotzGbzBSOaer3G4eEBGo2WjY2tp5rUAJhMZnK5LI1GHb8/IP89i8VKLpelXq9d+PkX\n", "iWKxKOsMa7UKHo+X733v++RyKdLpHP3+gEwmzZ07H3F4eIDNZmVtbQODwUAwGJI2tiHMZjPj8Zhf\n", "/vJnJBIJotGovNF2uVy0Wk0ymTRGoxG9Xk84HMHj8bK+voFarabb7VCr1SgU8mSzWXq9LqPRWOpQ\n", "i5MJm81ONpshlUpKU6k85+dx6vUaarWa2dk5bty4yZ/92be5ceNtOdKhXC5js9lxuz30el08Hi/X\n", "r78tP/S1WpHKajAYJHMuj+wKm8+LE5tJwT0cDuj3+xIlziq7darVKnQ6vTTB89JqiTmier2e9fXN\n", "p25W4vEz8vk8o9EIvd4gFeQDzGazpAN8/sZzMoWf6MgMBtEYajQacnwco1ar8+1v/7lEaTWj1WrR\n", "6fTodHra7bZM+fb5vMzNzdPrdSVznS7BYJDvfvd7FyK2PgtKpRK73SEXTg6HQ47XqVQqkmayJ0Vd\n", "GbHZRP2cWq2i3W5hMBi5fv0Go9FIjg9xOJy4XC7efvsm4/EYh8NJr9ejUqmQSiWp12sYjRZWV9dY\n", "Xl556j3zomuyaCyllqKPRI3a5NyI0oYMa2sbVCpi9nSjIWZuu1wufD4v9+/fJZvN4PGILr8Oh5P1\n", "9Q25qAORUXJ8fMzJyTH5vBgBViwWyGTS5PM51GqVLImw2WzYbDZmZuawWq1oNBr29nao1xusra1z\n", "5co1RqOhpOMWr//Z2TnsdjtWq4VOp4vJZGJmZlY2p5tAvN6NFIti4ev1+iQGg5F8Pk+1Kq4FKpVK\n", "djCv12vypnhyD45GIwKBoHzsU6kUCoUCp9NBr9enVCpydnYi3zPNZoN+vydFXFkk7atomCdOskRd\n", "/8SALhQK43K5pOaYqBFeWlrm+vW3v9DGoE6nIxQKcXCwz8nJMZ1OV6aWTmiorVYTUJBKpdDrdayu\n", "rrGz84hY7BCn08Vf/MW/xu32UK/X6PV6+P0BFhYWP3OCaTQaZQ+BWq1GqVSUXN1X0OvNjMcjkskk\n", "x8cx8vmsXEyIkowRarWGXq8r5UmL7vbx+BmFQp58Ps/5+Tn9fp9ms4lWq5Vys7VSJE70M2ngX2c4\n", "nU5ZgjRp3AWDIer1GolEgmazydLSEtVqjUqlTDQ6Q6fToVqtYLc7CAQCOBxOLBYLKpVKyqt3Y7FY\n", "ODk5IpVKoNFoaLebNBoNifqvplAo0G638PkCBAIhzs/PUKnUUuEquq0Hg59tTPg4tFqdpCvuk8/n\n", "0Gg0LC4uoVAopZijPC6XW2q+NaRcXSOtVpNCocCjRw/pdDosL69w9eo13nrrBpFIlHA4QiAQxO12\n", "Ew5HUanE9TudTpJIiM7lLpeHSqXMwcE+sdg+o9GYer0uuc73ppNepkXvFF8TTIverw6azSZ7ezso\n", "lcqnTuImyGYzlMtlVlbWWFhYkh9yuVyWwWAg6QHHbG9vMx6PWVtbx2R6dkdWrVZLMTkVlEqllCuK\n", "XCSXy2UEQXiuWcXrgCAI3L79B3Z3dxkMBthsDtbW1vnd7/6FR4/uc3Z2TqfTkiaEDWZmZrh16x18\n", "Pj8Oh0Oemvb7YhHy61//kmQySSgU5tatdzAYDBQKeWKxAwqFAgqFgoWFRa5du06z2aBSqSAIYl5m\n", "MBjCbrejVIrmOvW6uNmbTM4TiXNSqST9/sRkJo1arZG0T1GJxui7ME2DTzJARTOsLmazmY2NrefS\n", "dUGkOYouwwWpYHPKxl1KpUouzpvNBoIwRqVSSw6cFYrFokydXlvbeKourdVqcXQUo9lsykYmSqVS\n", "Njf7tJPxszChzIEAKAGBQCBAPH5OPH5Kr9flypVrLC8v4/F4sdsdGAwGisUiZrNZNgfS6/X86le/\n", "JJ/PsrCwyPvvf5vl5ZWXuJpEqNVqTCaTHJsymVxlMmkpUzVMInFOp9PGarVJJi/LeL0+2u0W8Xic\n", "Xq9HvS5u9K5cucZ3v/s9KSarg8/nl3WrrVYLrVbHysoK4XBYjg558hi9+JpsNptpt9sYjQYKBTG6\n", "Q6NRU6lUSafT3L79IaBAEERWgc1mw2y28ODBPR49eojD4WR1dY2lpRVmZ2flSWOr1WJ/f5dUKkWv\n", "15U1j5MJsVarpdPpUK/XJGp9Fb3egMfjlac0x8cx/vCH32M2m7l16xscHx9RKolTnFu3vsHSkniO\n", "R6MxicQ5AAsLi890hZ/cK49TOh//2UTjB+LaNGG4qFQqdDodLpeLhYUlvF6fRJetc3p6gsPh4Nat\n", "dzAaxeijYrHI3Nwcf/3Xf0swGKRUKpFKJdjZ2ebs7JR2u43dbr/gEA3i5LdcLpNMnkuTbg0zM7PP\n", "NRV7nTCZzBgMes7PxfWmWCwAEA5H0ev1ZDKi5KXd7qDRqDk6EvN+g8EQ//E//h+EQmGOj2Ocn8fx\n", "en2srKy+cKGuUCiwWq3ypLFWq1KvVxgOYW1tg2AwTKPRoN0WzYFmZ+fY2roiSy0sFgv1epVisSSt\n", "7TaKxYLcWNFqdej1OlZW1pibW6DZbGAwGFhaWvlSacVvGpRKpZSJXpAMpKzyBF5stCUYjcYEg0Hq\n", "dZGBMD+/KGl9a/h8/qc23sQ4pxLjsUCr1eLs7BSlUonBYJKeGQXcbg9ms5lisYBSqSQUCslGkqur\n", "6690XqxWqyTdGVAsFhmNxqyurmE0GuW/KwgCw+EQlUpFKBTC7faQzWYxGg3cvPkOV65cxWy2XPj7\n", "k2aYyWQiGp1BrzeQTCYYj4esr29RqVTI5TLkcllKpaJkSDfHzMwc8/MLWK3GadE7LRSm+DpgWvR+\n", "NTBxYhYdddeemZM7ceQEWFlZkx6APoxGE41GnWq1Sjqd4u7dO3Q6LWZm5ggEgp/5gBLNLnLU66JL\n", "42SqZ7FY5Aeo2+155rT4dWB3d5sPP/w96XQSg8GI0+ni9u0POTs7xem0EwxGmZ0Vp0xWqw2fz8d4\n", "PJZMhypUKhVKpRI7O9t8+OEf2NvbRaVSMT+/IBvT1Os1QIyzWF5exW53oFQqpZzOCuVyWaZ563R6\n", "nE4XoZBYABuNRknvrJUnU2KmYBS1WiPFJ4WeORXvdrvs7e2STqewWKzYbDbW1zdf+JiKhkJqTk5O\n", "5O613x9keVmkcYuOtg3q9Tr1eo1Wq4kgCLhcbpaWVggEnj2tPzw8oNvtolarqNdrWCwWuTiORGae\n", "mUnZ6/Uk99c+Go1Wmk5qqdWqGI0GxuMxCoWosU0mzzk+PqbRqBMOR3A6nbTbbWkaB+PxSJpIOvjV\n", "r37J3t4OHo+Xv/iL73Pt2vUX3mT1+32KxaIUZdNAo9GgVmuoViv0+308Hq9suhOJiAVYIpGQ3l+g\n", "3+/T6XRotZqkUkm2tx+i0Wh4660bcuzR6ekJRqOotz07OwXEqcyEev+4rvPTeNk12eFw0Gq1EIQx\n", "rZaYR+1yueh0RLOmVqvFYDCQqLcidff09BiPx8u7736Ly5evyjnJgiCaDE2M4lwuNysrq0QiUdnQ\n", "ymq14XK5ZW3teCxciFFpNps0m03u3btLMpnAYDBQqVTQaESpxdraBnq9gcFA1Eyfn8dRKlWsrq59\n", "pj/A45ROsdFmx2azycZkorGQSLOfeBJM2Ax2u+PCvXRwsEe/32dlZVUyfBMnyQaDgevX38bpdBEM\n", "hqTPq2c4HCEIAjqdFqVSRaVSlnJec6TTKeLxMykztCc1E9ZlV+0vC4FAiFwuQ7PZQqVSEosdSEaH\n", "Z5TLJUlXrqLTadHr9dncvMS/+3c/ko2HTk6OaLc7RKPR52r0nwUxc9olaeSHZLN5CoU8JpOJ1dU1\n", "QGwOWK1WPB4vGo1aysAO8t57f8bCwiI+n5/BYIDL5WJjY4u1tQ3G4zELC4u89977JJPnslfCxMTs\n", "TxmiuaRFivQp43Q6MZlMUgHZIp1OodVqsVhEzb9o9OiWmqsj2c/gcUzkJQaDAYPBgEajpdfrcXwc\n", "4+TkSGIziU1PvV7P0tIy8fg5gjBmfX3jqYaGLwqn0yl5OjSp18VIv7m5edk0sNvtEo/HGY/FOLP9\n", "/V054mpm5ulZ3o9jNBpJ7vXifiaZTKDT6ZiZmePSpS2USpHhMRgMaLdFOc500jsteqf4mmBa9H41\n", "kE6nyOfzeL2+5+bjZrMZisWiHIczgdFoJBAIYjAYOT6OkctlZNfEdDolR7gMBkPZyfZxiBmJSsmd\n", "8ZMHpfhaLcViQXZN/iKQyWT48Y//gePjI7xer7xBVavVXLp0mb/7ux8yM7NIJpMikTjHZDJjt9tl\n", "ndNkglco5CWqXINgMMS1a29htzuk1zsIhyPMzy/gcrkvTGcmVNhJR93hcMhuqAqFAp1Oj9Uqaoe9\n", "Xi8+nw+v14vT6cLtduP1eimXxU1yq9XCZrM9UfTcvfsxe3s7OBwuSav98lo1t9tDIhEnkUig1epQ\n", "q1VYraLjaCgUxufzy58xGAwzNzeP2+157iR5MunS6cSIjlqthtPpQq0Wp8WLi0tPFMu9Xo9Y7JDj\n", "4yMKBXFik8lkGA6H+P1+KpUy3W6XaDRKs9mUJ0qlUpFkMsn+/h75fFbKiBWLDY1Gg0KhYHt7m9/9\n", "7reo1Rp++MO/e6ZT86fRaNQ5PDzg9PSYcrlErVajWhVdgLtdsYjt9XoYDEYcDge5XBZQyHmd+XyO\n", "cDhMvz9gNBoBUCwWGA6HksFZkF6vy4MH98lk0jK7wmQy4/f7sVptcgyOy+V+5ud82TV54uIrGtk1\n", "qVQqDAZD3G4P4/FIyoIWcDicsuvp0tIy77//Z6ytfWJy12632d/fJZ/Po9Fo5GL3WdfGxBTG7fbg\n", "9wfQaDR0u11yuSx3796R79VJU81kMmG32+UM7ePjI5rNBiaTSYq8ebGoF4fDIcemmc1mDAajrPn9\n", "dJTUs5DLZclmRQfriVOwaJCXwOFwXlhj1Wo1fn+A1dU1ZmfnsFisKJVKBgOx+dHv9xmPBcnszMvi\n", "4jLBYPALbQA+CyqVmDve63UJBELY7Q6azSZqtYZgMMDGxiUCgQBut5fl5RVu3vyGrMWf3K8+n5/1\n", "9Y0LDuovC61Wy8LCDOOxSmq2ViiVihiNJlqtpqSTHxMOR+SGhdhYEB3dVSolkUiU1dV1MpkMFouV\n", "a9euk81mZJrrHzsn/k2CGM2mo1gsyK7yNpvIROr1uhQKBVnbLnpRiPd8rVaVkhk+Yff0ej329nZI\n", "JpNyhm8gEGQwEGUpVqsVh8PJ8rIYa7S4uMzpqdhonZ2d+9x7gEmTudvtkM1mJQd9s/Rc9TMaiYyK\n", "WGyP42NRcxwOR2Rn96eh2WyQzYpRbbdvfyhr+yexTqPRGINBLzEKDLJxXq1WBwTeeuvKKxW9X36u\n", "xRRTTDHFVxydTodE4hyNRvtc+//xeEwymZBoP0/qaRQK8QE42aAHgyHa7ZbslFuv1+XXinRAN35/\n", "QM739fsDZDJpstksgUBI/rnH4yGbTVMqFWXDideBwWBAp9MmkUjwT//03zk9PUGvF4039HoDRqOJ\n", "S5eusL6+wWDQ4De/+UCKXPBz6dJlacIqUrOTyQSpVFIyGHLidLqkae6LU2L1ej3Ly8vs7e2yv7/H\n", "lSvXXpi2aDabuXTpMrHYIeVyiWq1gtPpwmAwMBqNSKfTbG8/xGAwcOXK1Vfe0CkUCr75zW9xfHxM\n", "LpeVqG/5C0YgLxOrMR6POTs7kYoWI4nEOWazBadTfN9JxuLjaDab7O7uMBj0sVgscnyN6M6bpFwu\n", "EQyKVMpCocD6+iYHB3usrq7TaNSlbNAGBwcHVCplbDYH4/EYjUaDwWDgzp2PGI/HvPfen/GNb7zz\n", "mcWFSDE/kw2qrFYbbrdbOvZjiaKbQ6lUcX4eRxAEbty4icVioVqtMDc3z/XrN+j1epyfx5mZmZUy\n", "cotYrVZu3LjJ3Nw8hUKeZDJJMnmOwWBiMBjIJkXD4RBBGEs0wJfTur0IdDodly9flZzDx8Tjcc7P\n", "T1GrxUZBu92h2+0RCoWYm5uXzKIW5XM8uT/G47FkqrbAcDgknU5RrVbpdNoMBgMEQUCpVKHTTfTW\n", "OjmvVxAE2dldr9eztrbON77xDnNzC+RyWdJpce2YQKvVEo3OvxDT5HGo1WpWVtZ49OgBsViMy5dN\n", "0rRpid3dHQ4P97l8+eozGyGDgajLValUF9bTePwMhULx3M2z6Nz7dFbDm4KNjS329/cYjUZ8+9vf\n", "kZo6Xfn3ohTCw+LisvxdqlVRc65SqQkGQ69tDfd4PLhcLgqFPOl0SjKmE5kQ8fgZZ2eneL0+zs/j\n", "7O3tMjs7h9lsYWFhEY/Hy/b2Q0ajIYuLy3S74nNQLKgXX8vn+zrB5/PR74tr1O7uNltbl5mbW5Bz\n", "tUulIna7g+FwSKUiust3u11isUOuXLkmNy7v3bvDwcG+JAtyMhqNpObeiNVVMUprY2NLfr24Roga\n", "4de1tmm1WjY3L6FQKLh//y6/+tXPaTRuEggEZSf9e/c+JpfL4XKJz/JJDrQYZzeUZEciy2s4HACi\n", "bEOMzYLZ2TmcTiehUIR4/EzaC9XxeLxcvfqW5DNRk5qfr4bppHeKKd4wTCe9bz4mBj6Li0syDfFp\n", "eNaUd4KJ63Or1cTlcjMcDrFYLMzNLRCJRCValFnKwxN1qtlsRjLBskh5s0+f6k50kY9HG70qyuUS\n", "R0cxTk6OOTzc5yc/+Ue2tx/JkwKRZitmv5rNZhKJc05OYmQyOebnF3jvvffx+fxSTmiaw8MD2b3S\n", "7fbS6bTl6dLLmm8ZDAa5O9zv9587sfs01Go1Pp8PnU4nR5pMXCLj8TMMBgPf+c53CQZDL3vILsBi\n", "sUrmPQnZ/Van0+P1vny01MQAaKJtTCTOiUajWK0ipfTT1OZut8v29iOGwwHz8wssLi5hs9lwOBwE\n", "AkH52NXrNZlyrdVqWVr6pPlQLovUVXGS1qXf7+Lz+YlEoty5c4dUKsXi4hI/+tH/9tzjLwgC6XSK\n", "g4N9eaK4uromudpapMaJONWdXC+tVovz8zgKhUjbLpWKDIdD1tc3JXOwMmazGF3i8Xi5ceMm6+ub\n", "so51MjmZnZ3DaDRhtzuk+Aw147GA3+//zEnIq67JkyimiaxB1N4rcblcDIdDCoU8jUYDn88nxSj1\n", "yeWyHB6KzQWNRkMwGLrg/l6tVuh2OygUSvR6PVqtVpoe9Wi3W7Jrb6VSoVaryvpfjUZDJBJlc/MS\n", "KpXINggGQzidotFXMBiWpQivslaIZm5aKd6qLhtbid4DZQaDgexc/WmIGcR1ZmfnZBOkXC5LLpfF\n", "6/Xh97+4GdqbCI1Gw2g0JB4/Q6vV8fbbt7BYLBgMBux2O+FwhNnZuQvTcNHA55BgMMzm5qXXMqWe\n", "XMcTZ95AICgbnOl0n+TIF4sFLBaLJIHQcP3621gsVvb2dmg2xeeJ2+1mb2+X8Vikz36ZaQFfJdhs\n", "YobxJNZpwjaq1+uSqaHoYlyr1SRPh6os6xmPxzx69FBuvi4trdDtdul2OwyHI3Q6rewxMWn21us1\n", "YrHDl4onelFMGBZGo5F4PE4ymZDjrhQKBT5fAJvNhlarQxDGlMslmcGRz+eoVMq02y3UajVutweP\n", "x0On06bRqBMMholGo1y7dh2Px8PMzCxarZbBYMhoNMJgMLC2ti5lTPuYm3s19+bppHeKKaZ4o9Fu\n", "t2Xq48QNValUYTCI+s2XyVB8HZiYxDgcTjyeZ2+WP2vKm8vluH37Q/L5PDMzs1SrFQAKhTzxeJyF\n", "hUXcbjcWi1UuTkqlEum0WPRUKmXC4QjhcASr1UqpVKRer8mUxAm1L5/PyWH1L4vhcMjJyTGFQl7a\n", "CCu4c+c2p6cndDptmYal1+sZDIbkclkKhQLD4QCDQYPb7SYUCpNOp+l02jSbTUAMtY9EophMJg4P\n", "D1CpVJ8r5kKM9qlSKOSx2x0vXUz6fH58Pj+dToder0ujUWc0GsmT9c8LlUrF22/f4vDwgFwuJ5+v\n", "Vqv1UlOqXq9HMplAo9Fitdq4f/8eFouZcDhCoZCXaLWf6MEEQeDwcJ/BoM/8/MIT2ZlKpZK5uXks\n", "FitHR4e0Wi06nQ6pVBKrVTSICgQC2O12fve7D2i32+h0WgKBMFqtlg8//D3x+Ck+n5e//dt/+9xj\n", "Va1WJBfbDmq1RtYKPqvA0mg0rK6uYbFY+O1v/xcPH97HZrNhMpkoFguS2dk3UKtVtFpNFhYWZcfa\n", "CY6Pj+j3+zidLmo10aFbdAFWIwji9w+Hoy98/F8VJpOJb37zPRKJGba3H5JKJTEYDHS7XcbjkZzj\n", "aTKZJcq4EptNpOxODKUmBjkul+uZdOHBYECv16XX60sTYAUmk5l0OkW73SYcjlw43pM82tcFn89P\n", "o9Egl8tyenrMwsISMzOzsrmWzWZ/Ys3M5/Pk8zm5CAORCXB6eopKpSYa/WxN4FcBy8srxGKHnJ2d\n", "Mjs7JzU1n94EKJXEJqNOp2dubv4LLSjtdgd2u4OFhSWuXXuL3d0dKhUxMszt9lAoFPj5z3+KwWDC\n", "YjFLxmhWHj58IE18l16YBv+nirm5BQYDkVmzv7/H6uoa6+ubPHr0kF6vK+VZ26nX6yiVCim2rUSp\n", "VJSZGKFQhGazgVIpNru63S5arfaCx0S322V/fx9BEFheXv5MScGrQKFQsLq6jt3u5N69O/T7fZaX\n", "V3C53FLc2B16vR4LC0uMxyM6nQ4gSHs20VXdZBJZN/fv3+Xk5BibzSZp9T/ZA4jeHot4vX6SyYRs\n", "ljf5DK+K6aR3iineMEwnvWKhm8mkOTk5JpE4p1ar0u12UalUEnUPOQImm82i0WhfOH/u86Df77O3\n", "t4tSqZSjcp6FZ015BUEgHj/jD3/4gGKxyMLCEqurqywsLBIIiLqzer0mF5oTZ+aJBk+kNxup12uU\n", "y2JeXiAQolQq0m63LhQeotlVVja7epkp6mAw4NGjB9RqoklSMBjmn/7pv3NycsR4PMbt9nDlihhD\n", "cPXqW7z77nuEwxHUajXVahWz2YjT6ZUnUOIU20ooFGZpaRkQpxkAa2vrstnNq2ASR5TP52X91KtM\n", "RsSJh57T0xNGoxErK6uvbeMgRrnkSKVS8nU8cT9+UYgRIk3m5+cplUrs7+8RCoWZn1+UtY9er09+\n", "fSqVlHXnz6OIGo1GbDYb5XKFwUB00u71xGLRZDIzOzvHwsIi4/EYQRCbOQ8e3OXs7BSTycQPfvBv\n", "uHnz1lM3I41GnaOjGInEuRRPE5CM32wvtHmxWq3Y7Q5OTo5IJBIsLi7RajUZDAb4/aIuvF6v0+m0\n", "5WLw8fxdo9FwQfM7MVtqt1tybMZn4XWsyRMN+tLSiqQ/F6URc3MLWCxWBEG8jvV6A06nUzJfE524\n", "I5EZqUngw2w2P7M5NHFEnUQHGQxGBoMBR0cxtFoti4vLX7iJk93uoFIpS0ZZGqxWq3Rv5qhUKrjd\n", "HnndnGiWlUoVGxufbN4n7Jf5+fkLcU1fZWi1OsbjEYnEOb1eF78/8NS1ZTwec+fORySTCZaXVy7Q\n", "Vj8vPus6VqvVBAJihNpkze71uuRyOZrNpqzhL5WKKBSwuLiMz+d75vtNIUKM4HLSbDblTHaxmWij\n", "XC4D4HS6ZKnLJArs8PAQjUZDKBSRtLxuDAY9jUZDphtPJE2DwYDd3W16va7UMP9ivDwmMJvNGI1G\n", "Op0O3W4Xr9eHVquVExf6/R7z84uyiZrd7sBsNkvTW3Fvsbu7I2cOP17wPo5J82ViOKjRaFCplK88\n", "6Z0WvVNM8Ybh61709no9qtUq5XKJYlHMmCyVSrIT79nZKYnEOfV6Tc61nUTKRCJR/P4AgUDwsQKx\n", "TqkkaqQcDucXuql70c3Ypx2bJ4t5q9Xi4GCfhw/v0WyKWZlvv30Lh8OBWq1Go9Fgs9lwOl2S0Ujp\n", "gvvpBCaTCZ/PT7fbpVqtUK/X0etFiq5eb5Cnh5O/Wy6XEAThhfMTR6MRu7vbtFpiYeDzBfj7v/+/\n", "uXfvDqPREIPBgNPpwmazyxRhlUqFWq2mXq8RCoX5wQ/+CqfTJ0UCifQ9n8+PyWTi/DzOycmx1DVe\n", "e6pb5ctCrVaj0+lleuWrUronFD+v10cg8PpolWq1msFgSDabodls0u12ZB3zi0y4y+US8fgZZrOZ\n", "2dl5fve7D+j1Oty8+Y5MfX+c2tzr9Tg83Eet1rC+/tm08UmETLPZoNPpUCjkGAz6Ml3NYrEyP7+A\n", "zxdApRLfS6lUsri4hNvtZjAYSpNGMb+zUMhzenpCMpmk2+1is9lZWVm74DT+orBabRgMBk5PTygU\n", "8rjdYo6xxWLB5RI1zBO372q1IjXKahiNRnQ6Pa1WE6VSKef0NptNFAqe69j8OF7nmixugF24XC6q\n", "1Sr9fl+mMYdCYdxuD06nG7/fL/2/G7PZ/MqFz8HBPt1u54Je9IvEpAFVLBYplYqo1Wq5iC+VCtTr\n", "oqt8v99nZ+cRg8GApaVlubmXy2VlpsHXTSdqNluo1cToKpVKhdfre+K8np6ecO/eHRwOpxzb9rrw\n", "otexyWSSqO8uAoEQq6srUiyZTqKmulleXpXP2RSfDYVCgdvtlp3Oq9UKXq8orSiVSrRaTSk6alaK\n", "oOvJLtvvvvstZmfnqFTKVKsVjEajlIn7ScG7vf2Qdlt03Y5Evnj2CogNSVGbLCq5ww0AACAASURB\n", "VO7lLBYLdruDfr9PpVKm1+vhdLouPIc7nQ4ff3ybvb0dDAYjly9ffWY++uNQqVSYzRYp09yPyaSb\n", "Fr1f50Jhij8dfF2L3mKxwO3bt7lz5za7uzscHOxzfBzj9PSEs7MTTk6OicdPpcB1GwsLiywvr+L1\n", "+jCZTPLmtN/v0+v1GI1G2Gw2vF6fnNnabDZxu91fSOEr6ifjL7QZe3zK63A4qNWqxONxTk9PSKXE\n", "ImB2dg6Xy0UqleT8PC4XQ2KRa8HpdFEqFWXd7KcpbhO9oEajoVwuSZEtYnD740Y0ZrMYYTTZbH7W\n", "BFQQBPb2dqnXa7LL8n/+z/8XH3zwW8xmE1arXSqAxMn0wsKi3Mi4e/dj8vkcNpsNo1FHtztEo9Eg\n", "CALNZoN8Ps/R0SHVahWDwcD6+uZr3TiZTCZ6PXFSOR6PXzqneDAYsLe3h0KheGbn+fPAaDSSTJ5T\n", "LBYlQyOk5sHzj8FwOGR3dwdBEFhb26BcLnP//sd4vT7eeuuGPJl+3LX5+PhIatAsyG6wnwWNRoPH\n", "46Xf79FqNclksnQ6HYbDPoIgTuZKpQLjsZgxe+nSFRYWFtFqtTQaYkROsSi6aU8o4k6ni4WFBaLR\n", "mc81NXe7PQwGAxKJOO12G4vFKjMYJtE9oj6sASgIBAIYjaKufZKJq9frMZlM1Os1otGZF262fBFr\n", "sk6nl3Jr9fT7PZrNJq1WS9KW1yiVSpIOPEkmk6FWq9Lv91CrNS/MYjg/j5PP53A6XS8UHfK6oNFo\n", "cDicMkWz1+vh9wcYj8Vs8fPzc/L5PMPhgGh0RqY1VyplYrFDVCo16+ubX6ps5cuAVqtFoVBKk/Ay\n", "giA2YSbrTKlU5Be/+Bmj0Yh33nn3tWuZX/Y61mq1GI1GTCaz3KDz+wM4HM6v3bn5MiAWvh65KCwU\n", "CpjNZqLRGXkPUyqJha1SqcDn8+F0inuEYrHAeDzG6XSxvr4pr6WNRp2dnW263S6BQJD5+YUv9TtZ\n", "rTZ5D5LP5xEEQXIAr0sRdE2sVhtqtZp0OsXvf/8vnJwc4XA4uHbtOouLS6+0X3vVond61U4xxRRf\n", "KLrdLr///QccHcUYj0cYjSacTqc8vZls4IbDoRSHMkahUBCPx+l2u9LmtkajUafdbjMejy+8v1qt\n", "wWw2Mx6PKRYL7O7uvNBk62UgaluPUCqVLCwsXfhu3W6HXq9Pv99jMBgwGAx4+PA+g8EArVZLOp2S\n", "N92j0QiNRi1R3caUy2XUao208R1QKORlB975+QVZ93N0dChTFj8NsQOv5+Bgn2JRjHp5nM6qVCqZ\n", "nZ3n4GCPo6MYm5tbz33ITEymRM2yl//0n/5Pbt/+CLvdztraBhqNBrPZyubmFleuXEWv1yMIAvfv\n", "38PlcmO1WtHrDWQyGarV9hPvP9E4RyLR115UAszPL1Cv10inU9jt9pcqfM/PzxgOB8zNzX8heiib\n", "zU4wGKZSqdLrdYjFDgmHw09oLT+NiTY1GhUnub/73b8wHo/Z2Nii2+3SbrcvuDY3GnXZjOZl6Yca\n", "jUYyRtGQSMSJx0+pVssy26DZbNDr9eRzODcnZoe2Wi2azSaj0RClUonBYMBkMr/WzfHNm9+gVqty\n", "dnbK8XGXubkFTk9PWFpaxuFw4nA4EQQBhUJBLpfj6OiQ0WiIQqFErRZ15EdHMfR6/ec2J3sdUCqV\n", "sp5cNO1q0u8PJIObPoPBQMogbsvToXj8DKPRiMfjxe32PDPGJp0Wo8J0Oh2Li0tPfc0XCaPRyNbW\n", "ZQ4O9sjncxQKeQwGgxR5kkevN3Dr1jeIRKKMRiMymbSUD6xkdXX1c8XzvMmYnZ2jVqsSix1KGvcu\n", "Ho+HdrvFRx99xGDQ5+bNW/J9NcXXCwqFgsXFJcxmM6enJ8RiB+j1eqxWG9VqhYODAwaDHgaDgWh0\n", "llarSbEopjBsbV0hHA4zGo1ot1sSK0l0wI9GZ760Ce+nEQgEMZlMHBzsk0ick8lkcLlEs654/JTD\n", "w33JZK+FQqEgEpnlxo23n2ru+UVDMdmMfQ0gFAqNP/ZnmGKKzw2Px8LX5VquVCr88z//D+r1Gjab\n", "natXrxEOR2Ub+6dBDDo/4+Bgj0KhgCAI+Hw+3G4PRqMRvd6AWq1CEMSpb7vdotfrIQgCyWQCELVG\n", "16/feG3f4+goRi6XldyJLZRKRarVKoPBk13zUqlIJpPG4xFzV41GAxaLFZPJzOHhPsfHRwSDQXw+\n", "PzMzsxeiKBqNOmdnZ9TrNdRqDfPz87Imz2KxcPny1WcW861WS9bJWCwWvv/9v7pgUrO/v0epVHzu\n", "w/Hk5JhMJo3VasXr9fFf/sv/w717d9DrDbz//r+i2WxSr9e4desd1tY2ZFOaQqHA4eE+VquVzc1L\n", "ABiNSo6Pk1I0h4BGo8VkMmGz2b+QYvdxNJsNHj58gEaj4cqVay80GatWK+zsbGM0Grly5doXRpNP\n", "JM75yU/+B+12i3a7jd3u4Ic//DuCweAzX39+HpePbbPZ5L/+17/HYrHy7//9j0gmEyQS5ywvr8rn\n", "Y2JGs7m59cpRJ4IgcH4eJ5VK0mjU6Xa7KJVKTCYzBoOBmZnZP0rhOBqN+MlP/vHCvb68vCIbHgmC\n", "QCJxLmkne6jVatRqNcvLK6RSSZrNJmtr6y+lpX4T1uTBYCBNgopUqxW5+We12vB4PNjtDlQqFe12\n", "i3Q6TblcQqPRsrm59Ud11hUEQTbTa7XaKJUKWq024/EIvV6PSqVCEAQpAkvL6urq194Yqdvt8ujR\n", "AzKZNI1GHVDKJkU3b36DS5cufyF/9024jqf4BN1ul2QyQbFYkD0HRL8HA2azCUEQm5BKpYJCoUi3\n", "23niPcRosOU34p6ZpDOk02k5kqhSqVCplBkOB7hcbtbXN5mZmf3cbuQej+WVHtDToneKKd4wfF0e\n", "TOVymX/8x/+PTqfN+vom77zz7nOLnU6nQ7FYoFDI0+l0GI/HkkFNB4vFTCQy80wNXrfbpVwukclk\n", "2N3dpt1uEY3Ocu3adbxe7+cqYKrVCvfv35M1mIOBuJhrtVp5Wi3mY2pRKpU8evQQgBs3bsrTwtFo\n", "xO3bH7K7u4PX62NjY5PZ2bknPtckO3V/f49Y7ABBgEgkSrPZoNlsMjs7x40bN59p2tXv9/nDH37H\n", "3t4OHo+PH/zgh/KkbTgccu/eHQaDARsbm08UQ5Piymg0YrFY+elPf8KDB3cBBe+++z5qtZpUSjQS\n", "Wl/fZGVlFRA343fv3kEQxly+fPWxrOA/7nWcTCaIx89wOl2sra0/97X9fp/79+8xGg3Z2rr0Wh1t\n", "P43RaMSPf/wPFAo5TCYLZ2enbGxs8rd/+2+fmC5nsxmOj4/kzFeNRsMHH/yW7e2HfPOb77G5eYl7\n", "9+7Q7XZ5++1bqFQqms0GDx7cx2q1sbV16XN/3n6/L0frCIKA2WzG6/W9VLbw60av1+OnP/0JiUSc\n", "8XiMy+UmHI7g8/nle6XZbGAwGNHr9SwsLEl07TQ+n/+lJ59/7Gv50xgOh5RKRfL5PI1Gnaft46xW\n", "G8vLK3/U8/Q8NJsNMpmMrLe22x0Eg6E/Gdpsv9/n5OSYYrFAu93GaBTlHi/TjHlZvGnX8RQiBEGg\n", "2xVdnHU63VP3K4IgSMaVFQaDoeT/Ycfp/GJ9TF4F4t6tRrvdRhAE9Hoxru113tvTonda9E7xNcHX\n", "4cHU6/X4b//t/6VWq3Ljxk2uXbv+1Nf1+3250J3Y0YuxKy7cbg8Ohxjcfnh4QK1WxWg0sr6++dyN\n", "XLlc4te//iWFghhr4vP5CASCT8SZvAhqtSq//OXPKRYLzM3NYzZb8fl8eDyepxZGE8fpUEjMvJxg\n", "e/sRt29/iMVi4datdwiHIxf+3Wg0Ip1OkUqlJDqmguFQND0CCIcjHB8f0W63CIejzMzMMjs7+9TP\n", "MBqN+J//8585Pz8jHI7w53/+Pfl41es1dna2USiUbGxsyJTVXC7L0VFM0t/Co0f3efDgPiqVmkuX\n", "LuH1+jk/P0MQBN56623eeuu63KmdTMHn5uYvTP7+2NexIAjs7GxTq1Xx+/0XaOmPYzwes7OzTb1e\n", "e+I7fFG4f/8uH374e5xON6lUEkEYcfXqddbWNnA4RCOQTCZNPp9DrdawubmFyWSi2Wzw4x//AwqF\n", "gh/96H9nMBhw796dC4X965jyfhXQarX4/e8/kDW+k3tbdAwWtf5ituUy/f6AWOwAo9H4XLbEs/DH\n", "vpafh16vR6lUlKjlI3Q6HU6n86X17FP8cTAcDhmPx1+InOLTeJOv4ymmeBm8atH7p9FSm2KKKb40\n", "CILAL37xM2q1Kqur608UvJOOZS6XpVqtyBo8u92Bx+OV3Vgn0Gq1bGxscnp6QiaTZnv7IRsbW8/U\n", "fDmdLr7//b/m449vyyHv/X6fZDKB1+vF7w8+l+43Go0oFgvkcln29/eoVMpEIjNsbl7C4/E+c1o9\n", "Go1IJJ7M5T09PeHhw/totVreeuv6EwVvtVrh+PiIbreLWq1hZmYWj8crBdZX2d3dQaFQ8L3v/SX3\n", "79+VJjw5arUqXq+Pubn5C8W8SqXiu9/9nkwB/V//61dcv34Dp9OF1WpjcXGZWOyAnZ1totEZFAol\n", "p6fH9HritDybzXB6eorL5cbt9uD3B8hms/R6Pba2LjEzMyMXvJP8TZPJ9EQG7B8bE2fo7e2HZLNZ\n", "BEHU+z5e8IxGI/b396jXa7hc7i+NrruyssadOx/TaDRYX19nd3ebbDbzBOXLbDazvLyKwWBAEATu\n", "3btLt9vlxo1baDQaMpk0AC6XGLsjmqGUsVptX+uCF0TTsps3b2E2W2i3W5J7t0528XY6nfh8forF\n", "IsfHMVQqNcvLq69V6/8mQKfTvRH65CleDX8qk+0ppngTML3bpphiiteCfr9PqVTk4cMHPHx4n9nZ\n", "ed5773359+PxWHYj7fdFLazFYsHr9X1mrqpCoWB+fgG1Wk0icc7OziO2ti4/sztuMBi4fPkyOzvb\n", "jMcCfr+fSqVMJpMhk8mg1+ux2ezo9XrUarVML5rQIsfjMbVajeFwyPr6Ju+++63PpBBlMmkGgz6R\n", "SFT+LplMmocPH9Dv97l27Tqzs5+YkwwGA87OTsnncygUiqeaO9lsdpaXVzk42CMeP2VjY4uzsxNA\n", "kJ1pK5UKCwuLF0wh1Go13/nOX/CrX/2C8/MzRqMh8/OLRCJRPB4PKpWSWCzGxx9/RCqVlLWPGo2G\n", "VquNy+VEq9WzuLhIPp+XnCFDuFxu2VFUEASOj48AWFhYfOMoViAeh42NLXZ3t8nlsjQadVln3Wq1\n", "SCYT9Ho97HYHy8srX9rnMhgMzM3NE4sdoFZrZTfUiaGRSqXC4XDicn0S95BOpzg/P8fhcLK8LOYc\n", "F4sFVCqVfO4TCVHnGolEnv6Hv2awWERDtb29Hfr9PgaDgUAghMlkot/vcXh4QLlckmKb1r+UyJ4p\n", "pphiiineTEyL3immmOJzQRAEUqkkicQ5rVaLDz74jZSv6yAWO2RhYZFarSZNE3uoVCop+9X/0pvQ\n", "aHRGNqza399lY2PrmZNXMfZoiVhMdCO+dOkKtVpNNoLJ5bJP/BuFQoHJZEKvNzAei3Erly5d/syC\n", "bjgckkwmUas18tRlMikulYosLS2ztrYuv0+xWOTk5JjBoI/ZbGZhYemZOl2Xy0U0OkM8fka5XMLr\n", "9ZHP57BarXg8HhKJc/b3d/F4vMzNzcsFt9Fo5N133+Pu3TvyuclmM3JuXrVa5uzsjEqljNfrxW53\n", "YLPZSKVSKBRKgsGgZEgxxGQyEgqFLuiQM5k07XYbn8//RI7wmwSNRsPm5iXOzk5kR98JFAoF4XBE\n", "mnh/uUX71tZl+dr0+4PE42f0ej02NjafeG2jUefw8IBut836+nXMZoucp+t2eyQtb5NyuYTVav2T\n", "oraazWauXLkm6yMbjf0Lv7darSwuLr/WvNMppphiiim+epgWvVNMMcUrQxAEDg72KZWKaLVaqtUK\n", "breHjY0tPB4PuVyW3d1tHA4nOp2OUChMKBT+XM59MzOz9Pt98vkcsdghq6trz3yt1+ul02mTTCbY\n", "3d2WKMoeBEGg0+nQ7XYYjUQXVL1eh8FgZDQa8ejRA5RKFUtLyy/kfJpKJRmNhszOzqFWq2UTpUwm\n", "QzQ6I0f9TMxLSqWiFCU0RzAY+syCKxyO0Gq1KBYL6PV6jEYj2WyGxcVlLl++ytHRIYVCnmq1emHq\n", "a7PZuXHjJlarlXw+z/l5nIODfQRB/M4Oh4ObN28xMzNLvV6XHY9nZmZJJOI0Gg18Ph8Oh1gQT3JN\n", "h8Mh5+fnMh37TYdKpWJhYYlQKEK5XKLf70vaR9cfzejH4/FIDYw8m5vfIZlM8PHHHzEzM3uhAdJq\n", "tdjd3aVYLBAOR4hERJfiQqEAiPm1gOxm/Gn6/J8CNBoNKyurRCJRyuUSvZ4oFbDb7V97mvcUU0wx\n", "xRQvhmnRO8UUU7wyYrFDSqUiVqsNq9XK/ft38fsDvP/+v6Lf7/PLX/6MfD7HcDjke9/7S6zW1zMR\n", "XFxcotvtUioVSaWSFzS0n8bMzCzD4YBsNsvOziPW1zfRaDRPzb3t9/vs7Dyi1+sRjc68UI7cxHRI\n", "q9VitzvY3n5ErVal1Wrh8/kIhcK4XC6y2QzxeJzhcCBpa5deavq0uLgkZ/OFw1H6/QwnJ0dsbGyy\n", "tXVZor/G5anvhA5uNpu5evUt8vkc5XJZip5R4HA48fsDaLVajo5inJ/HabebrKyskkqlSCSSzM7O\n", "4fF40OsNciQMiAXWpMj/vNEDXybelHzWCS5duszPf/4zTk+PuXTpMnfvfsxvfvMrrl59C7PZTK1W\n", "I5lM0Ol0MBpNuN0e+ZoUqc1qHA4HrVaLUqmIxWKRGxN/inhWlvUUU0wxxRRTTIveKaaY4pWQSJxT\n", "KOSxWq0sLS3z05/+BFDw9tu36HTa7O7uYrFYCQSCtFotfvazfyYSiaJUKtFoNBgMRiwWC1ar7YVo\n", "zv1+X44LMhgMrKys8uDBPeLxM8xm83MnOgsLSwiCSDl++PA+q6tP6vtarRb7+7t0u11ZX/siODqK\n", "USqVsNlsPHhwD0EQsFptsmGO1Wrl3r07dDodVCoV8/MLzzV96vV6NBqirthoNGAymVEoFKhUKlZX\n", "13nw4D7pdFKmPO/u7rKxsUEoFMbhcMpT31pNnPo6nS6USiV+f0DW4z5+TLe3H1Kr1ahWK8zOztPr\n", "9YjF9jEaDczPLzAaDS9QZnu9HplMGp1O98aZV33VMDMjNhVSqSRLSytEIlGKxQLHx0fy9F+lUmMw\n", "GNBqtUSjsxI1vUK/38fn86NUKv+kp7xTTDHFFFNM8SKYFr1TTDHFS6NSKXN+Hken07GyskYsJhZa\n", "4XAYm83G3bt3yeezGI1GnE4XzWaTUqmEwWDE6/XSbrdpNpsUCnlALGLdbg9ut0ee1IhmUlUqlTLl\n", "cpleryf//UmuYygU4uzsjIODAy5fvvJcquri4hJarZZE4pyHD+8TDkcIhcIolUpyuSynpyeMRiMi\n", "keiFqWav16PVatLpdOj1egwGA/r9Hr1ej3q9RiwWQ6/XYbOJxXswGKbTaZPLZRiPBU5PT1AoFPj9\n", "fiKRmWeab3W7Xc7OTimVihd+rtPpiERm8Pl8UrG/wt7eLplMmtnZec7OTtjZ2WFtbQ2bzc7W1mVZ\n", "Y723t4vd7mBubv6JCVi5XOL4+Ih+v894LODz+VGpVHzwwW9ptzt861vfxuFwUCoVCQY/maQnEueM\n", "x2MikZmvnRPulw3RaGuTf/mX33B0dEgkMoPRaMJqtWGxWCQmgILj45is4QbIZMQoK7/fT7vdplQq\n", "YjKZvtCMzymmmGKKKab4KmNa9E4xxRQvhcFgQCwWQ6lUsrq6TqPR4OjoEJ1Ox9zcAh988FsymTQ+\n", "XwBBEGi1mng8XrrdLqlUApvNJpvvjMdjuXg8PT3h8HAfpVKFVqu9oHNVqdS4XG60Wg2CINBoNCiX\n", "S5TLJVQqFb1el4ODPba2nm86FY3OYDKZOTk54vw8zuHhPr1eT8q31DM7O4dWq+Xk5IhWq0273WY4\n", "HDzxPgqFAo1GQ6VSwWq1cvXqNcLhiGQw1OTXv/4F9Xqd5eUVnE4XMzOzT6VdNpsNarUa2WyGWCzG\n", "eDzC7XYTiURxOJw0m02KxYI8vV1aWsbhcBKJRDk/j1Mul1haWpEjiMLhiPyf0+ni5OSYarXC/ft3\n", "8fl8cvF6fh6nWCygVCoJBILk8zmq1Qqnp6dUKhWuXbvG5ctXePToAXq9GP8C0G63yedzGI1i82KK\n", "z49QKEIgEKJQKGCxWKWM5gGzs3O0Wk22tx/JmmQQmzCVShmz2YzZbGF/fw9BEAiHX4yZMMUUU0wx\n", "xRR/ipgWvVNMMcVLIRY7ZDDoMzc3j16vZ2dnW3IA9nHnzkc0my1sNjsajQaLxYJarcFkEqnMh4cH\n", "HB3FGI/HF6aE4/GYZrNJtVql2WwAAjqdnpmZWRYWFohEnnTXrddrHB8f0W63aTQaAJyeHjM/v/jc\n", "z2+xWAgEgmxvPyKVSsoaW4vFSqGQl6fPCoVCijYSJ7hGowmdTotWq0Oj0ZDLZen3+7hcblZX1xiP\n", "xyQS59y+/ZFUjC7z/7N3pzGO7vli17/ey/vu8lLlqrJd9dTS1d3nzJLLzNyQqxslFxAKEhJLQLxA\n", "SIjAKxBEiEURL4C8ABIpiEVBApEXQSgkNxKIXM1lcmfmznIyc3qt5Snbtbm870t5tx9euMqn6/RW\n", "i3s5ff4f6WhOn7Jdfy/T8u/5bffvP3hl2XW1WuHsLEWj0aDdPuf4+AhFgWAwiNlsoVKp0G63CYUW\n", "WFhY5PAwSbVa4cmTx2xsbLC4GJ5O67VYLGxv30eW90mlTsnncwQCQRwOJ1tb9yiXy8TjMvv7+3zx\n", "xa8ZjUZYrVbcbg+RSIxEIj7dVdto1IjFYvzFv/jPUamUGY/HVwZtnZwcoygKS0vLH+WKom8ii8XC\n", "4uIi3W6HdrtNo9G4eO0VhsMB4/GYtbX16UWTfD6Hoij4/QHq9dpFT70Nj8fzgZ+JIAiCIHy8RNAr\n", "CN8C3W6XdvscvV4/7RG9jXw+R7VawW53EAyGSCTiVCqTyc0HBzJGoxGHw0kgELzInC7j9fqmAe78\n", "vJ9MJo3b7cHr9XF+3qLb7TIajfB6fej1erRaLf1+n0ajTqfTIZVKUSgU8Hp9eL2+6Zd/m83Ogwef\n", "sb+/x2g0olDIA2A2W5mfn5+eeTAY0Gw2aDQa1GpVzs/PL+5vY2npR9jtdrRaHf3+ZJ2SRqOdDsR5\n", "Xflur9fj+PgIjUZLJBKl3W5zcLBPrVajVquyshLlz/2533/p/sPhkKOjw+lZTSYTzWaLtbV1Nja2\n", "cDgcnJ9PSsGLxQLJZAKr1UostobT6eTo6JDnz5+xuiqxurrG06ePSafPMJsna1sug96Tk2NOTo6n\n", "v1dRlIsM4hBFUdDpJpn0X/3qT4nHD14YurXFvXv3MZvN7O3totXq8Pkmr2Wz2ZiuxBFltLO1sLBI\n", "o9FgOBzh8bjZ29ujUqmwsbGFJG1Mh1dNdl3nppUPz58/BWBlJfKmhxcEQRCEbz0R9ArCJ6zf75NM\n", "JqhUytP/ZjQaiUZjN17l0e12OTo6RKPRsrq6Rr1eI5/PkcvlSKVOcTpd+Hzz+HzzmM1mNja2Xuqx\n", "XVpanpYlh0Ih3O6l1/y2iWazQT6fp1QqcnaW4uwshV6vx253TPfphkIhut0OjUaDZDJBo9FgeXnl\n", "Yndp86VeYLvdgcvlwuPxvra/9m0SiTij0YhYbI1ms0k8LjMajYBJ77Akrb8U8PZ6PXZ3n9Nut7FY\n", "LEQiMZLJOFarhdVVaVourNe7cDpdhMNLHB0dUioVefr0CZIksbGxiSzLHBzss7y8wvr6Jk+fPiaR\n", "OGBzc4uVlQgLC4tUKhWazQbdbhdFUTAYDCwvr+B0utDpdBf7iovs7DxDpYLf+Z0f4PF46Ha7LCws\n", "UCwWGAz6hEIL0z3Ix8dH0/dQmC2n04XNZqPRaLC5uYXN5iSTOcPj8VyZIJ7P56bvSy6X5fz8HJ9v\n", "HovF+gFPLwiCIAgfPxH0CsInqtfr8fz5U7rdLjabDafTRbvdplQqsrPznGg0xvy8/9qPF48fMBqN\n", "WF2V0Ol0PHv2lJOTY05PTwAVKysrOBxOjEYjW1vbr1xlo1aricVWef78GYlEnAcPPnvjMCSr1YbV\n", "amNlJUK5PAmWG43GRRnyV7cbj8dUqxWq1cpFIJ4lGo1hNJpwOl1YrdbppOi7Dl9KpU6p1ao4nS7G\n", "4xGyHJ8+r8lFAc00O3qp3W6zs/OMfr9PIBBkZSXC0VGS8/Nz/H7/K/tj9Xo9krSOy+UmkThgb2+X\n", "aHSVe/e22dvb4ejokEAgyPr6Bnt7u+zt7bK1dQ+r1cb8/PyVbPfXmc1mfvrTn6Ao8J3vfH9aHm2x\n", "WLDZ7CSTCdRq9XS9z+Xr7nK5sdnsd3r9hFcLh5cuSu7TbG9voygjisUCTqcLr9fLcDgklUqh0Wiw\n", "WKwcHOyj1+tZXl750EcXBEEQhI+eCHoF4RM0Go3Y29uh2+2+NI04EAiwu7tLMplAo9Feqxcwm83Q\n", "aNRxudz4fD5keZ+9vR1yuRzD4ZCHDz/HZrNjMBime3Bfx253EAgEyGaznJ2lrpztdSaBpG8aHLbb\n", "bTqdDt1uh+FwyHg8JhAIcnAgUyoVsdttmEwmPv/8u2i1s/trrlarkkqdYjAYMJvNHB4m0en0bG5u\n", "UatVp9OfXywfv8zw9vuTPuhgMEStViWbzWIymVhZib7xd0725Bou3rM4sdga29sP2NvbIZvN0Ov1\n", "plnj58+fsba2/sb9wuVymT/6o/+HRqPB6qrED3/4u6RSJyiKQjC4QLU66Sf2+ebR6/UoisLJyTEq\n", "lepa75VwO3a7A4fDSa1WpVgssra2ztOnT0gkDgBoNGoMBn0cDgeJRByVSsXamvSN2pMsCIIgCB+K\n", "2DchCJ+gk5Mjzs/PCQQCLwUqVquNra17qNVqEomDaY/r67TbbY6Pj9BqMea0TgAAIABJREFUdUSj\n", "MdLpFD//+U9ptZoMBj3C4TBerxetVsvamsTc3Nxbz7e0tILBYODsLEWr1brx8zOZTLjdbkKhBZaW\n", "lllZiRCLrfKjH/0usdgqKpWabrfL7u5zhsPhjR//VVqtJvv7+6hUKlwuF2dnKXQ6Pdvb9zGZTGQy\n", "GTQa7ZVduJcXH3q9HktLywSDIcbj8XQP6+rq2rUyz1+9ZxoSiQPa7XO2tx9gs9mpVMqkUifTgVOy\n", "vMfhYXJabn1pOBzy7NkT/vAP/y8ajQZbW9v83u/9PiqVikKhgMFgwOPxkE6nAaY7eAuFwjQIvs4+\n", "ZeH2YrFVNBoth4cJBoM+GxsbqFRqfv3rX/Dzn/+MdPqMarWKooxZXZVu3KIgCIIgCN9WIugVhE9M\n", "s9kgl5vsyF1efvWAG4vFQiy2xmg0Qpb3XgqQLo3HY+JxmfF4TCQSJZU65Y/+6B/R6/Uwmy243V58\n", "vnk0Gg2h0MK1v4RPVrDEUBSFZDKOoii3fr4vstns03U93W6XZrPJ8+dP6ff7d3rcVqvFzs4O4/GI\n", "+fkAuVwOrVbH1tY9jEYjxWKRwaDP/Pz8tAcWIJlMTC8+LCwsApN1Qd1ul0AgeKNeTIvFwr17k4sV\n", "Bwcy3W6Xe/e2WVwM0+/3SafP0Gq1dDpdUqlTfvvb35BMJjg8TPDrX/+Sv/f3/k9+8Yufo1LB7/7u\n", "P82PfvRnUalU5HJZRqMRgUCQdrtNvV7DbndgsVguJlKfoFarWVwUK3HetcneawlFUdjd3aFUKmI0\n", "Gmk0GgwGQ7xeHw6Hk+3t+2JasyAIgiDcwCdT3tztdj/0EQThg1MUhURiEkRGo7E3ZhE9Hg+t1gLp\n", "9BnJZIK1Neml2xweJmm1WhgMBk5Pjy8mJQ/x++fp9SaBpNlsxmq13rj09XLwVaGQJ50+mwaFd7W4\n", "GKZer6FSqdDrDZyfn/P48SMk6XaZsUqlzMGBPC1dzmazAKyvr08zn5nMGSqVatoDC5OhQ8ViAavV\n", "Oi1hbrVaZDJp5ubmbjUQymKZTHKW5T3293d58OAzwuElXC43x8dH1Os19HodpVKRcvmA0eirLLdG\n", "oyMaXeV73/v+9HUYj8fTDPX8vH86rCoYnGR5c7ksvV6PYDD00lAy4d1wOl1sbm4Rjx+Qy+UA2Nzc\n", "YnVVwmg03rknXRAEQRC+jT6ZoPeLL75geXkdo9H4oY8iCB9MoZCn3W7j9/uvNXBoaWmZRqNOsVjA\n", "4XBeGah0dpZif3+XdrtNIBCkVCqi0+mwWHw4nS7S6TNUKrBYbKytrd9qDdLKSoRqddIn63K5p+uI\n", "7mJSNizx+PEjRqMRwWCIbDbDzs5zfL55wuGla01tHgwGnJwck8/n0Gg0rK2tk82mGQ4HV6ZfX/bA\n", "er2+aWDY6XQ4PEyi1eqQpA1UKtXFBYmDa12QeBOPx0Ons8Tp6QkHBzJbW/cussDbtFotqtUKbreH\n", "waBPu91GrVbjdDoJhRZfKk++zFBfll0XiwWMRiMul/uFwUlakeV9zxwOJ9/97vdptZqoVGosFsuH\n", "PpIgCIIgfKN9MkHvpAzv9JXZKkH4NlAUhVTq9KIU9XpZ18kwnHUeP37E4WECrVZDp9MhmUyyv7+L\n", "RqMmGl0FJqXDrVYTp9MFKPT7k6E6kUj0Wn28r6LVaolGY+zvT4Y0bW8/uNXjfN3c3ByRSJR4XKbV\n", "anLv3jbJZGKafXW7PXg8Hmw2+5VBV+PxmFarSalUpFAoMhoNMZlMrK5KVCplms0mXq/vSt/uZQ/s\n", "i1neRCLOeDzpu7wMhNPps4t9uH4cDuednt/iYni6d/jsLDXNklsslhsFSNlsepqhzuWyjMfj6fNI\n", "p88YDgcsLS3PdBiYcD0qlQqr1fahjyEIgiAIn4RP5puM2WwmkykSjcau9NQJwrdFoVCg1+sRCARu\n", "tH+21+ui1Wp59uwxBwcyLpeLbDaD2Wzmu9/9Pnq9nkwmTbPZwG53YLfbyWYzdLtdYrG1V67buQm3\n", "243H46VUKpLNZqYDlO7K5/NdTMItUKvVePjwc/L5HJlM+mLlUQEArVaHVqthNBozHA6m/cV6vZ5w\n", "OEIgEKTZbHB2lsJgMBCJfDVtudVqXemBha8mXV8G1jAZBpZKnaLTzW7FzNqaxOPHX3J6eoLVar1x\n", "6XatVuX8/ByPx4tOpyObzaLV6vB6ffR6PTKZNHq9/kowLwiCIAiC8E30ToNeSZL+APgbgAb427Is\n", "//Wv/fwvAf8FML745z+UZfn/u859v24ydbRIo1G/yEQJwreHoiicnU2yvKHQ23tjO50OuVyWUqk4\n", "HfJksVjJ53MMhwM2N++xublFsVgknT6jVCpitdpwOp3YbHZ+9atf4nK5kKT1mZx/ZSVCrVbj5OQY\n", "m80+synBkUiURqPO2VkKh8OB3x/A7w/QaNSp1Wo0m036/R6DwRCtVoPROIfFYsVut+N0ulCpVAyH\n", "Qw4OZGASaL6Y9cxkJlnehYUFAPr9PicnJ2i1uivBcTKZuMj8RmeWNdXpdKyvb/Ds2VNkWebhw89u\n", "dLHjMkMdCk2yvMPhgIWFRTQaDYeHScbjMeHwsughFQRBEAThG++dBb2SJGmAvwX8eSAN/BNJkv6h\n", "LMt7L9zsx7Is/+HF7beBvw/ErnnfKxyOSZajVquJoFf41ikUChcTgQNvHDjUajU5OzujUimjKApa\n", "rY75eT8Gg565uTlarRbj8Qi1WkM8Hqfb7VCplHE4nDgcDpaWlvmTP/kJarWK733vz8wsgNPr9cRi\n", "q+zv704HNM3isS/XKD1//oyDA5mHDz9Hq9Vis9mv1fMMcHR0SK/XY2Fh8cp9ut0upVIRs9k8LVc+\n", "PT1hNBoSjcamAWg6ffZS5ndWrFYbS0vLHB8fEY8fsLV171r3a7Va1GpVbDY7JpOZ3d1dNBoNwWCI\n", "VqtFsVjAbDbfOYsvCIIgCILwMXiXl/C/DyRkWT6WZXkA/F3gL714A1mWX1wQagFK173v19ntdtRq\n", "NY1GfWZPQBC+Ca6T5e31ehwcyDx58phyuYTZbGZ1VWJ5eYXz8xbx+AGZTIb5eT8qlYqnTx9xeBin\n", "1Wridnvw+eZZXAwjyzKVSpmVlciNpzW/jdvtZmFhkW63iyzvz3yNUa/Xu/HjFotFCoX8K6dTZ7MZ\n", "FEUhGJxkeZvNBvl8DrPZzPy8H4BGo87JyTF6vZ5oNDaT5/N1odACTqeLWm0yEOw6zs5SACwuLpLN\n", "ZhgM+gQCQXQ6HcfHRyiKwvLyyq2GkwmCIAiCIHxs3mV5cwhIvfDnM+DPfP1GkiT9C8B/BQSAv3CT\n", "+75IrVZjNps5Pz9HURTxZU341igWi3S7Xfx+/yuzvOn0GanUKaPRCIvFQii0QL1e5ze/+YJarUqn\n", "08ZkMuPxeDCZzBgMcyQSMuVymV6vh81mZzQasb+/x/n5OT6fn0gk+k7KXsPhJdrtNpVKmXj8YGaD\n", "6RYXw9PJxkdHSSKRtwegvV6PZDKBRqNhdVW68nfKcDgkn8+h1+vxer3AJCMMk5JqlUo1Dd4BJGkd\n", "nU43k+fyKqurazx+/CWp1Cl2+5uz2Jev72TolRVZltFotIRCC1QqZer1SbXMXYdtCYIgCIIgfCze\n", "Zab3WukUWZb/gSzLG8A/D/zvkiTdOlo1mcyMx2M6nc5tH0IQvlEus7wqleqlLG+v1+P582ccHx+h\n", "VmsIh5fQ6bT8+Md/xI9//Eek02fo9Xo2Nra4f/8hgUAQg2EOo3GO9fVNwuFlQqFFVCoVjUYdm82O\n", "1+vF6XTi882/k+ejUqmQpHVsNhvFYoFkMj6TjO/l45rNZrLZ7DRAfR1FUTg42Gc0GrKyEnlpFVo+\n", "n5uuQ1KpVOTz+elkZ5vNfvHaP6Xf77OyErl2KfVtXfb3Asjy/rRP+1UymTSKorCwEOb4+Oiil3cB\n", "lUrF4WESlUo1s2FbgiAIgiAIH4N3melNAy9+C19kkrF9JVmWfyZJkhZwXdzu2ved3mjRR6/XwGhU\n", "4fVab3dqQfgIXPfzWygUMBhULC9HWFz0Tv97sVjk+FhGpRoSiSxgMpn48ssvyWaz6HQ6trfXWVxc\n", "RK/X0+l0OD8/R6UCo1GN3+9nYWEBr9fLaDSi0+mg1+tRqVT88pe/xOn0srIymwnLr+N2/w5Pnjyh\n", "2WxQLqdZX7/dHuCvc7n+KR4/fky7XaVazRKLvXpf7snJCWr1kNXVJba2Vq/8bDwek0jUcLut3Lu3\n", "ikqlIh4v4HZb+e53t+n3+ySTCYxGDZubWywtzbYM/HW8Xis63ZhkMkkud8zDhw9fmmTf6/Xo95sE\n", "gx4CASe53DELCz4ePtzg6OgIo1GDJEksLc3moob4e1j4VIjPsvApEJ9j4dvsXQa9vwFWJUlaBjLA\n", "vwz8qy/eQJKkKHAoy7IiSdLnALIslyVJqr/tvq/S7SrUam1OT/OoVMa33VwQPkper5VisfnW2ymK\n", "wuPHu3Q6HaJRF8Vik9FoxOFhkkIhPx1MlM+X2d//BaVSGavVis83j6LoOD3NAaDRaLBabTgcDpxO\n", "FyaTCeDKGTqdHtlshkqlxfKy91rnu6tgMMLe3g6yfEQ2W2F9fWMmJcKhUJTd3efs7iY4OckSjcau\n", "7ENtNOo8f76LXq/H5Qq+9Fzz+Rz5fJVgMES12uH09IRCoYbb7ebRox3y+TwwKdU2mVzv5bW6NDfn\n", "wGCwkUrlaLX+CevrG1eC+mQyTrV6jt0+zy9/+Vt6vR7h8CrHxzmePZPR6/WYze6ZnPm6n2NB+NiJ\n", "z7LwKRCfY+FTcduLN+8s6JVleShJ0r8H/CMma4f+F1mW9yRJ+rcvfv4/Af8i8G9IkjQAWsC/8qb7\n", "vu13mkyTNSftdvsdPCNB+LiUSiXa7Tbz837m5uZoNhscHMh0u10sFgt+f5Cjo0OePXsynR68vLzM\n", "3Jzxou/Ths1mw2y2XCuLms/nUKlU76y0+eu0Wi2bm/eIxw8ol0s8efKI9fXN6T7c29Lr9dy//5Cj\n", "oyS5XI6nT59gs9lwudzodDr293cZDCYlv5VKheFwwGAwuPjfITs7z+h2e8zNzVEsFtjb2wFUjEYj\n", "NBoNRqORSCT6wXpio9EYvV6ParXCzs4z1tc30el0tNtt8vk8BoOBUmky7XtxMYzZbOHx4y9RFIVY\n", "bFWsKBIEQRAE4ZOjmtWE1I+AUiw2+fWvf4VOp+Xzz7/7oc8jCLdynauxiqLw6NFv6Xa7PHz4OaVS\n", "cTqRNxRawG638+zZU54+fUyn0yEQCPLw4eeEQiHsdseNS4VbrSZPnjzG7fZMe0ffp1TqlNPTE9Rq\n", "NcvLKwQCsymvbjTqpFIparUqiqJwdHRIu33O/Lwfr/fldT31ep1U6gSn08XiYpizs8k6oqWlZZaW\n", "lnG53Lhcrg8+SG88HhOPH1AqFdHr9YRCC2QyGbLZDGazGYPBgM83z+rqGslknFwuRyAQvLJb+K5E\n", "VkH4VIjPsvApEJ9j4VPh9Vpv9SXrXZY3fxBG45yY4Cx88gqFAp1OB5vNTiJxQLPZxGAwTKcdf/HF\n", "r9nd3WE4HBIOL/EHf/DP3mmYUqEwKdn9UHtbJxlJM/F4nMPDJJVKhdXVteku3Nuy2exsbU0GTz1+\n", "/Aiz2UIwGCISiaLT6dBqtWi1OvR6HVqtjt3d51itNr7zne8yHo8Yj8esra3x4MFnM3qms6FWq6eD\n", "u87OUjx79oTj4yNMJvN0NdTiYphsNkMuN1mzJIZXCYIgCILwqfrkgl6DYY5ms0m/33/l+hZB+KZT\n", "FIXT0xPK5TKj0RCNRovX6yMSiTIYDPjpT/8xyWQClQrW1tb4/d//Cy9NH76J8XhMoTDJGDqdrhk+\n", "k5txudx89pmVePyAWq3Kl1/+luXlZfz+wJ0fO50+YzgcEIvF2NraRqPRMBgMaLWaF6uOuhSLBWR5\n", "D6vVzvPnzzg6SjIYDNjefkCpVMLpdL40OOpDW1hYxOPx8tOf/gSv18f29n3C4WUMBgPlcpmjo0N0\n", "Oj3r65uirFkQBEEQhE/WJxf0zs3NAdDtdkTQK3ySjo4O2d/fxWg0MjdnIhqN4Xa7GY1G/PznP+X4\n", "+AitVkMsFuP+/Yd3Cnhh0js8Gg0JBBY/ePWEXq9na+seuVyW4+NjkskExWKBlZUIFsvNBxtMSpqT\n", "ZLNZTCYT4fASZ2cpKpXyS7MBDg+TjMcKgUCAVqtJs9nCZDLSajWR5T3UajVut4dAIHBlMNZNzlIu\n", "l6nVqvT7fbRaLXa7HY/He6dgelLSbGFtbX2azc1mMxwdHaJWq9nc3Jz+vSkIgiAIgvAp+gSD3skX\n", "/G63i/3drsYUhPdqkuE95ic/+WMUReHzz7/L2po0nWj8xRe/4vAwgclkJhAI4vcHZpIFzeezAO9t\n", "gNV1+P0BXC43R0eHlErFab/xZGKy6VqPMRqNODiQOTk5YjQaoVKp2Nl5DkzKgx0OJ1arFYvFQrfb\n", "RVEUPB4va2sSX375G7a2ttjefoCijKlWq5RKRYrFAsViAafTxdLSMmaz+VpnaTYbxOMHL+0YLxYL\n", "HB0dMj/vZ3ExjFb71V/Z/X6ffr/HcDhErVaj1eowGAxXAuRqtUI2m2Fubo5weIler8fJyTHFYgGd\n", "Ts/GxsatLhYIgiAIgiB8k3xyQa/ROMlYfP3LoyC8T4qi0Go16fX6qNUqzGbLnSoPWq0WyWScvb1d\n", "FEXhBz/4EZubW9OfHxzs8/TpEywWC+HwMlqtlmg0dufn0Wq1aDQaOBzOO2eMZ02v1yNJ6/j9fk5O\n", "jimXS5TLJRwOJz7fPE6n80qQeKnb7XJ2luLp08eUy2WMRiPh8BIajRaXy4XL5cbhcFwJHh8//hK1\n", "Wk04vMTp6Qm9Xo9QaGE6SdpqtREOL1Gv1zg9PaVarVCrVfF6fYTDS29874vFIvG4DIDf72d+PoDR\n", "aKTX61Eul8jnc2QyaYrFIl6vD0UZUS6X6ff7r31d5uaMKIrC8fERKhXEYqvs7Dyn2WygKApWq5W1\n", "tXWR4RUEQRAE4Vvhkwt6DYbJl7her/eBTyJ8Gw2HQ1KpU/L5PKPR8MrPLBYLPt888/P+a/dPjsdj\n", "UqlT0ukzqtUqKpWKzz//zpWAt1Ip87Of/RSNRsvW1jbn5+cEAsGZBKm53CTLGwzOZlryu2C3O7h/\n", "/yHlcplM5oxarUqtNnmtDAYDBsMcKpWK8XhErVYnnU5Rr9cAFaFQiI2NLTweDzab/ZXl2/l8nvPz\n", "84v9xgqZTBqDwcDiYviVZ9nedlCtVjg5OaZQyFMulwiFFgiFFl5636vVCvG4jFqtYWNjA7vdMf2Z\n", "yWTCZAoTDIbY3X3Os2dPefToN5hMk6FTbrcHo9GIRqNBURQGgwHdbpdut0O5XOLwMHGxeilMpVJB\n", "pVJhsViYnw/g8/k+eKm6IAiCIAjC+/LWoFeSJDXwbwKrsiz/VUmSloGgLMu/eNeHuw29Xo9KpaLf\n", "F0Gv8H7V6zVkWWYw6KPT6fH5AhiNJkajEfV6nUajzuFhkrOzFOHwEvPz/rc+XjKZoNPpoCgKer2O\n", "paVl1tc3p7cZDof88R//mOFwwA9+8Lucn7fQ6fSvDMhuajAYUCwWMBqNH3SA1XW53W7cbjfn5+dU\n", "qxWq1SqdTodqtUKr1aRWq9HtdjEYDMRiq9y794D5+TeXbA+HQ05OjtFoNCwuhonHZRRFIRqNvbHP\n", "1ul04XA4KRTynJyccHp6Qj6fY2lpBa/XC0z2icuyjEqlYmtr66U+4H6/Ty6XJZ/P0e/3CQZDNJs2\n", "tFoNGo0Gk8lEIBB8KYtcKpVIJOIsL0eYn5/H7w+i1WowmczTUnhBEARBEIRvk+tkev9bYB74DPir\n", "QAv4m8D33uG5bk2lUqHX6+l2ux/6KMK3yOVgIJVKxdLSMsFg6EpWb2FhkcFgQDp9Ri6XJZGIk8tl\n", "iUSiLwU74/GYw8Mk2WwGlUqF1+ul0WigUqmIRlenPauKovCLX/ycSqVENLqK2Wym0aizvLwykynC\n", "+XyO8Xg8s52474vZPAnu9HoD9XqNUqmIxWLFarVhs9kIBhfweDzXeqxU6pTBoE84vEStVqXRaODx\n", "eK91EUClUjE/78fj8ZJKnZLNZjg42Of09Jj5eT9nZylGoxFra+vTz8BwOKRWq1EsFqhWKyiKgkaj\n", "nfZom0wmKpUyh4dJ0ukzMpk0DocTk8nEeDy5uNJut1Gr1Wxt3XvrhRVBEARBEIRvg+sEvb/HJOD9\n", "LYAsyyVJkj7qscgGg4Fmsyl29QrvRSaTfmH1y/pr9+HqdDqWl1cIBILTYUJPnz7B6/WxtDRZI9Nq\n", "tTg+3iebLWIymQiFFjg7S017SC+zhAAHBzIHBzIOh5Pvf/932Nl5xtzc3EwCHUVRyGYzaDSamQ6w\n", "arVatNvtaSWGRqPBYDBgMpnv1F86GAxoNhvUajXq9dqVycsGgwG/P4DX673R0KZWqzkdAuV0unj+\n", "/ClarY6VlciNzqbRaFheXmF+3k86fUaxWOCXv/wFlUoJvz+AzWYjl8tMy5MVRQEmwXsgEHxpevOk\n", "59hJsVggm81cZLUrwGQAl8fjJRxe+uh6sAVBEARBED6U6wS9XVmWx5IkAdNy5486kjQY5mg0GmJX\n", "r/DO5fM5jo4O0ev13Lt3/1qBhsFgYG1NIhAIcHiYnE78HY2GnJ+38XhsmExmrFYryWSC8XjMwsIi\n", "S0vLL/zePI8efYlWq+WHP/xdisX8xe3CM7nQUyqV6Pf7BAKBO2eNh8MhmUyaQiH/xl77y5Jds9mM\n", "2WzBbDaj1xvQ6XSo1WoURWE8HtPv9+l2O3Q6HVqtFs1m40plh0ajweFw4nA4sNsd02FTNzEejzk4\n", "mJQyRyJRksk4o9EISVpDr9ff6nUwGo3EYqs4nU7K5RIej/eiZLkJgFqtmWajPR7vGyc/q9Vq5uf9\n", "zM/76ff79HpdVCoVJpNZ7NsVBEEQBEH4musEvc8kSfrXAfVFP+9/DPzsnZ7qji6/lPZ6XRH0Cu+E\n", "oigkEnGePHnEcDhidXWNXC6Lx+O59o5Wq9XGgwefkUqd8utf/4pyuYhGo8PhMNHvn9Nun2MwGFhZ\n", "ieJ2u6f3azYbPH/+hGazwYMHD3G7PTx69FuMRiM+n28mz+/s7BSVSkUwuHCnx7ncpzsaDdFotHi9\n", "Pmw227T3fjgc0e1Ogtfz8xaVyqQXV6PRXAne1Wo14/H4lb9Do9FO1wvZ7XasVtudA7/j40M6nQ7B\n", "YOiiJ7h1Uap8vbLo15msnTrB5XKzvX0fq9V254oUvV5/60BcEARBEATh2+A6Qe+/z6SvNwB8AfxD\n", "4D94l4e6q8tAt9d79UoPQbiLWq3KkyeP2N/fR61Ws7ISodvtkMmkyWTS2Gw2lpdXrhX8FgoF0uk0\n", "gUCAlZWVi35RE/V6F4vFgsPhvBIQdbtd9vb2yGQyhMNh1tc3SKVOURSFcHh5JlnecrlMu93G6/Xd\n", "uuR4MBhwcCBTq1XRaidl3X7/V1njy0FTjUadbrfLaDQCJlnaXq9Hq9VkMBii1Wou+nPncDjsGAxz\n", "6HQ65ubmmJszYjabr72X97pyuSzZbBaTyYTRaCSZTGAymW5c1vwq2WyGdruN3++ffj5EC4YgCIIg\n", "CMK7da2VRbIs/1sv/lmSpOulsj6Qy6BXTHAWZklRFI6OksTjB5yenuB2u/nBD36E3x9AURQajTrZ\n", "bJZqtcKzZ08JBkMsLb06EB0MBiSTCcrlEhqNhlhsddqL6/VaKRabL91nNBqxv79LoZDHbrezvBxB\n", "o9FSKhUxm813zkJeuszyLiws3ur+nU6H3d3ndLtdHA4nq6tflQTn83nOzk6n5chqtRqj0Yheb0Ct\n", "Vk8zuoPBgMGgf6XHtd1uX5QuO/D55l+5g/euqtUKh4dJtFodweACh4cJNBot6+ubdy7z7vf7nJ6e\n", "otXqCIeXZ3NgQRAEQRAE4a2u863xT5gMsnrRPwY+n/lpZkSvv8z0iqD32+gyAK1Wq7TbbQaDPmq1\n", "Gr3egM1mw+Fw3njIz2AwYH9/l2w2Q6GQJxpd5fPPv4PD4Zzexul04XS6aDTqxOMHpNNnNJtN1tc3\n", "rqyKKZVKJJMJhsMBNpud1dW1t2ZUFUXh4ECm2WwyHA6Yn/eztLTM8fHRRZZ36WYv0mvUalVarRZu\n", "t+dWGdR6vcb+/j7D4eBKH3Kv1yMeP6Ber037Ub1e71tLkcfjMe32OY1Gg3K5TLPZoNlscnp6gsfj\n", "JRAIvrH39SbK5TIHB/uoVCoWFxc5OjoEYH19fSZDoU5OJmXe0WhMrA4SBEEQBEF4j14b9EqSpAP0\n", "THp5X/z26wBmW084Y5dZpcFg8IFPIrxPo9HoojQ1c+WCx+UQJEVpUCoVAbDbHQSDQVwu9+sebqrb\n", "7bK7+5x8Pk+jUWdlJcrm5taVgPdFNpudhw8/Jx4/oFwu8fTpY9bXNzEYDNPBVZdl0cFg6FrPLZGI\n", "U6mUGQz60wFIw+GAcrmE1Wq91vO4jlQqBXCrLG+pVJrusY3F1qY7cM/Pz9ndfU6/38fpdBGNxq7d\n", "a69Wq7FYrFgsVoLBEIPBgEIhTzabIZ/Pkc/ncDpdhEIh7HbHjc98KZNJc3x8hFqtZmlpmdPTU8bj\n", "yTqh173PN9FsNigU8pjNZrFGSBAEQRAE4T17U6b3PwH+84t/b73w35vAf/POTjQDOp0OlUolypu/\n", "RfL5PKenx/T7fTQaDX6/H5fLjdVqQ6vVoigKvV6Per1GsVikXp+stjEajRergHyvzDien5+zs/Oc\n", "dDqFoigsLS0jSetv3dOq0WhYX9/g9PSEVOqUP/3Tn6JSaTCZjFitVmKxtWtnUg8PExQKeYxGEyqV\n", "Go1GQyi0wP7+HsCVqc530WjUaTTqOJ2uG088zuWyHB4mUas1bGx8FSi2Wk2eP3/OaDS8UZD/Ojqd\n", "jlBoYTpgKp1OT1f2WCyW6Q7e6/bJttttjo4OqdWq6HR6IpEVjo6OGA4HxGKrMykZVxSFw8MkAJFI\n", "VPTwCoIgCIIgvGevDXplWf5rwF+TJOm/l2X5331/R7o7lUqFVqsmXP7oAAAgAElEQVSj3xeDrD51\n", "vV6PRCJOrTaZ+LuwsEgotPBSv6dKpboYfjRZ89JqtchmM5RKRRKJOKenJ8zP+3G7PdNy2Xq9xhdf\n", "/IpsNovdbicYDLG+vnHt6cwAwWCIfD7P7u5zFAUePvyM7e0H1wp8xuMx8fjBtGfXZrORzbYJhcK0\n", "Wk3q9RpOp+tOGc4XXWZ5FxdvluW9DOx1Oj2bm1vTgLnX67G7u8t4PGJ1VZrZZGmYvJ8ulxuXy02z\n", "2SCdTlOpTMqTj4/1eDxe3G43Fov1pYsZ4/GYer1GoVCgXC6hKApOp4tweAlZ3qPf70/36s5CPp+j\n", "1WpdTK5+9Q5nQRAEQRAE4d15a0/vNy3gvaTX667s7hQ+Pfl8nqOjQ0ajIQ6Hk1hs9dplsxaLhdXV\n", "NcLhJTKZNPl8jlTqlFTqFLVaTbt9fvHYYxYWFojF1ohGYzcantRo1Dk4kOn3e2xv32c4HDEYDNjZ\n", "eU4stvrGPt52u008LtNqtbDZbMRiazx58gidTk8gEOT586cAM+vlbbWa1GpV7HbHtYP60WhEMpmg\n", "WCwwNzfH5ua9ae/raDRib2+HwaBPJBKdacD7dVarjfV1G51Oh2w2TaFQnE7SVqvVGAwG9HoDiqIw\n", "HA7odDrT4Vgmk4lweBm73c7z50/pdrvTCyez0O/3OT4+RqPRsry8MpPHFARBEARBEG7mrd/gJUl6\n", "APyPwEPgMqJQZFm+2yjTd0yn03N+fs5oNLrz1FXh49Lr9UgmE1SrFTQa7ZX+0Zua7MGNEA4vXeyI\n", "rXB8fEg6fcbc3Bz37j0gFlu9Ubnv5S7WdPoMgMXFMIuLYYbDIfH4AdVqhcePv2R+3k8gELwS/Ha7\n", "XRKJPLu7CcbjMfPzfiKR6MUQpBFLS8uUy+Vp5vCmZcivc9Msb6vVJB4/oN1uY7VaWV/fvLIr9ujo\n", "kPPzcwKBAIFAcCZnfBuj0UgkEmN5OUK1WqVer9FsNuh2e3Q6HWCy09dqnfQIX+5UHo1G7O4+n553\n", "VuXiAMfHR4xGQyKRqNilKwiCIAiC8IFcJ231PwD/GZM+3n8G+Ctc7fH9KH21tqg/k8mrwschn89x\n", "dHR0q+zum2g0Gmw228WwIQv37t1nY2PrxkHlcDhkf3+Per3G3Nwca2vSNHOq0+nY3NyiUChwcnI0\n", "zUbOzc2h1+sZDCZZSIfDhFarJRKJ4Xa76ff75HJZDAYDbreHx48foVarZ5jlbVGplLHZbG8tlW63\n", "22SzafL5PIqiXOwXvtqnWi6XyedzmM1mlpfvvtv2ptRqNW63G7f7q+FeiqK8sqRcURRkeZ9Go4HX\n", "6yMSic3sHJP+8QIWiwW/PzCzxxUEQRAEQRBu5jpB75wsyz+WJEkty3IG+E8lSfoN8F+/47PdyeVK\n", "kMFABL2fgna7TTKZoNGov7TX9q4GgwG5XJZ0+ozRaITT6WJ1de3Ga2Xa7TZ7ezt0u11cLjdra9Ir\n", "qwx8Ph8ej4dSqUSxWKDVatHrNdFotDgcTtbXV1CrTdMg7ezslPF4zOJimLOzFINBn3B46a1rjt7m\n", "srf10aNHFIt5VlYixOMHaDRq1GoNWq0WjUbDaDSi3+/RbDZptSbXu4xGI9Fo7KUgeTAYkEjEUavV\n", "rK2tv3Ed0fv0uh7qRCJOtVqZ7hOelfF4TDKZQKVSEY3GxPAqQRAEQRCED+g6Qe/w4n+rkiQ9BM6A\n", "2exHeYcuSwn7fbG26JtsPB6TSp2SyaQZj8e43R5WViIzye42mw1yuRylUpHxeIxOp2dlJXqrUukX\n", "pxS/uJ/2ddRqNT6f75W9rl6vlWKxCUxKufP5PHNzcxiNRpLJBHNzc3fqOR2NRqTTZ2QyGc7PWyQS\n", "BxiNpuk6oDed2W534PcHcLvdrwzkTk6OGQ4HrKxEbrXn922GwyG5XJZqtcr5eYvRaIRKpcJsNk/P\n", "dt2LAUdHhxQK+Yvy7I2ZBqbHx4d0Oh2CwRAWi3VmjysIgiAIgiDc3HWC3r8rSZIH+C+BnwMavlpl\n", "9NHS6S6DXrG26JuqVquSTCbodrsYDAYikeid99GORiOKxQK5XJbz83NgkrX0+wP4fPM3GlR1qdls\n", "sLOzw3g8ulN/8auk0ynG4zGBQIh4/ACAWGz11hnUZrPB/v5kQrFOp0elUrG8vML29gM8Hi/j8ZjR\n", "aMR4PGI4HDIajdFo1Oh0Okwm8xt/b7PZmJY1z7qPt9frTQeOXQa6RqMRrVaHoow5Pz+n1WqRyaTx\n", "en0sL6+8MVM/CfrTGI1GNja2Ztr3X6mUyWazmM3mmfYHC4IgCIIgCLfzxm/4kiSpgT+WZbkE/L+S\n", "JLmYlDs33svp7kCvn3zhFWuLvnkGgwFHR4cUiwVUKhXBYIhweOlOgclgMCCdPiOXyzEaDVGpVLjd\n", "Hvx+/3Sn7G1M9vhOAt61tfWZ7HW99GKWdzKQaTJZ+LYrivL5PIeHCRRFYWFhEZfLzbNnT3C5XHfe\n", "n6soCslkApjtLtp2u006fTbNxuv1esLhpZcuUIzHY0qlEpnMGYVCnkqlQjQae+X7USgUOD4+Qq/X\n", "s7W1feMy9red9+DgALVazeqq9NGUdwuCIAiCIHybvTHolWV5LEnS3wG2L/7cB74RUeRlpncwEOXN\n", "3yT5fI7j40mJrMViIRq92eTkV8nlshwfHzMaDdHp9IRCS8zP++88TXeyh3ZS0jzrgBe+yvKCilKp\n", "iNVqvfXwqnw+RyIRR6vVsb6+jt3uIJmMXwTA4Tuf9TJz7vPN33kXraIo1GpVcrkclUoZmGTjQ6FF\n", "fD7fKwPqy3Jxr9dLNpvh9PQEWd6j2QyxvLwyvU+lUiaROECr1bG5eW8mZfKXBoMBe3s708/D5b5n\n", "QRAEQRAE4cO6Ti1nXJKkFVmWj975aWboxenNwsev0+mQSMSng6oikSh+f+BOGcPhcIgs71OrVdFo\n", "tEQiUebn/TPJvo3HY/b2duj3+ywvr+D1eqc/63a7tFqt6cRgo9GIyWS60XO5zPLW63UURZmW4d7m\n", "9SiVSiSTCbRaHffubWM2mxkOhxSLRebm5q5MOb6Nfr/PyckJWq3uyi7a8Xg8XQPV6bQZDAaoVCo0\n", "Gg06nR6dTodOp0Ov16PRaOj3+7Tbber1OoPB5P+3VquVUGjx2me8rAxwOJzs7++SyaRptVpI0jq9\n", "XpeDAxm1Ws3m5uZMg9J+v8/OzjO63S6Li+ErnwdBEARBEAThw7pO0GsDnkqS9HO+WlWkyLL8L727\n", "Y92dWq1Go9FOvzwLHydFUchmM5ycHM90UFW322Vvb4d2u43T6SIWW53pntRkMsH5+Tl+v59QaIHx\n", "eEwulyWbzdDtdl+6vUajweFw4nQ6cTpdbz3L6ekJJyfHWCwWDAbDrctwW60W8biMWq1ha+veNNDL\n", "5bKMRiPC4aU7lyJf7qKNRmPTM76YsYdJMKrT6VCUSUA/Hr9+65ler8fv9zM/77/1ECiTycSDB58R\n", "jx9QLpf49a9/wXA4wmAwsL6+MV0jNQsvTu0OBIIzWyUlCIIgCIIgzMZ1gt6/c/HPi5R3cJaZ0+t1\n", "YnrzR6zf71/sSK2j1epYXZVmUiL8YtYtEAiyshKZ6WTeXC5LoZDHYrGwshKl0+mwv79Lu91Go9Hg\n", "dnuwWq1otVpGo9FF9rJGuVyiXC6hUqmwWCy4XG5sNhsmkxmtVst4PKbT6VCv5/nZz/4EUNjc3GJ9\n", "ffNWAftgMGB/f5fxeMzGxvq0TFxRFHK5LBqNBp/vbkO3LnfRWq1W5uf9V95TjUZLMBjC6/VhNpuv\n", "vAeTNUh9hsMB/f6A0WiEXq/DYJib2YoxjUbD+voGyWSCP/mTnzAcDvnhD39052FoLyoUChweJhiN\n", "Rtea2i0IgiAIgiC8f28NemVZ/l/fwzneCZ1OT6dTn5aZCh+PF6cIu1xuYrHVmQwUGg6H7O4+n5aZ\n", "zjrr1mq1ODo6RKvVIUkbF89jn+FwgN/vZ2lp5bUToDudDtVqhXK5TLPZoNlsTn+mUqlQlMm1pPPz\n", "KqPRkO9853tsbz+49Wc3kYjT6/VYXAxfCfTK5TK9Xo9AIHCradWXLodXqVQqIpHoNOPZ6/VwudxE\n", "ItHXZuw1Gs1FcPtud2hfvuahUIjBYEitViORiLOyErnTYLRWq8Xx8RH1eg2NRoskbcy8p1sQBEEQ\n", "BEGYjdt/4/0G+GpXb3+mA2uEu6lUyhwcyIzHY5aXV+60c/brDg5kzs/PCQQCMw94x+Mx8fjk3Ovr\n", "GwyHA/b2dlEU5VqrioxGI0ZjiGAwxGAwoF6v02w26HQ6DIcDVCo1Wq0GRelx//5DPvvsO7cOePP5\n", "PJVKGZvN/tLrkM2mAfD777ZWKJ0+o9PpEAgEUKs1PHv2lOFwQDi8xOLi3Ydj3VW73WZn5xn9fp+t\n", "rW08Hi/7+7vk8zlqteqNV2BdDtjKZrNUqxUAnE4XkUj02ruBBUEQBEEQhPfvkw56LzOHg4EIej8W\n", "pVKJg4N91Go16+sbMy01PT09oVqt4HA4WVmJzuxxL52cHNNutwkEAhiNJp4+fcJ4PEaSNm48DEqn\n", "0+HxeF7KDh4dHeJ0OnG7g7cOeLvdLkdHSTQaLWtr0pWfnZ+f02g0cDpdmEymWz0+TDKoqdQpOp0e\n", "n8/Pzs4zhsMBsdgq8/P+Wz/urLRaTXZ3dxkM+lcurNy//5BU6pR0+oy9vV2sVit+fxC32/3KzO9w\n", "OKRer1OvVymVytMZATabnYWFBZxO13t9XoIgCIIgCMLNfdJBr5jg/HGpVisXAa+Gzc3NO6+2eVG9\n", "XuPsLIXBYGBtTZp5OXu9XiObzWA0GllaWmFn5xmDQZ9IJHrn6ceX+v0++XwOr9d+68BRURTicZnR\n", "aMTqqvTSxZ58Pgdw58A0mUxcZOoXkeW96RTrjyHgLRaLJBIHKIpCNBrD7w9Mf6ZWq1laWsbj8ZJK\n", "nVIul2g2ZZJJNUajEYNhDpVKxWg0otfr0ul0pvfV6fQEAgF8vvlbD9gSBEEQBEEQ3r+3Br2SJG3x\n", "8uCquizL6XdzpNnRai8zvWKY1YfWbDaQ5X1UKtXMA97hcEg8fgDA+vrGTHqDXzQej0kk4gCsrq6R\n", "yaRpNpt4vT4CgbuVCL8olTphNBqxtHT7icqZTJpGo4HH48Xn8zEajSgWC9RqNXq9Lru7OxiNRra3\n", "79/6nJNVSjVsNjv5fI5ut8vCwuJMy9RvYzgccniYpFgsoNFoWV+XXpuJNZvNrK9v0G63KZdLVKsV\n", "2u025+fn09totTrsdgc2mw273Y7NZhezAQRBEARBEL6BrpPp/b+BMFC7+LMDKEiS1AH+sizLv3xX\n", "h7srvV4EvR+DXq/H3t7etBd2lgEvTEqCLwc2vYsM3OnpCd1ul1BoAZVKTSp1il6vJxKZXQl1u90m\n", "n89jNBrx+/2USq9f6fOmxzg9PUGnm5zt62uDWq0mjUYDnU7Ps2dPsdlsLC0t3+j96Pf7HB8fXfx7\n", "72JCduCDTy2uViskEnH6/T5Wq5XVVelaU6BNJhMmU3jagzwcDlEU5WLl2e0HXQmCIAiCIAgfj+sE\n", "vf8A+MeyLP8DAEmS/hLw+8DfB/4m8P13d7y70em+GmQlfBjj8Zj9/Ulv5cpKZKY9vDAZinW5Puhd\n", "DE86Pz8nk0ljMBgIh5fY2Xl+Mbhq9U6Tj7/u9PQERVFYWlq5VTZRURQSiQPG4zHR6AqJRJxKpYxG\n", "oyUcXsLr9XF4mMRkMhONxqjValSrFZ49e/rWqdMviscP6Pd7DAZDALxeH5FI7MbnnZXRaMTx8SG5\n", "XG5aujy5OHG7jOws31NBEARBEATh46C+xm1+7zLgBZBl+Q+BPyvL8k+Aj3pk6WWZ63A4/MAn+fY6\n", "PT2h1Wrh880TDIZm+tiDwYBEIoFarSYWW3snpaeHhwkURSESiVKpVGg06rhc7pkOMGo2G5TLJWw2\n", "2637gy9Lrl0uF7lchkqljN3u4LPPPmdxMYxaraZWq2Kz2QgGQ2xubnH//gNMJhO5XI5Hj35LpVJ+\n", "6+8olYpUKhUMBj0ej5fV1bVbnXcWGo06jx9/SS6Xw2w2s739gIWFRVGCLAiCIAiCIFxxnbSGWpKk\n", "H8qy/KcAkiT9gK+C5fE7O9kMvLiySHj/6vUamUyaubm5mZYCX0omE9PpvGazeeaPn8/naTQauN0e\n", "HA4nX375G9RqNcvLK6+9T7PZoNFo0G63URQFrVaD2WzF4XC8doL4ZbnwbUuEL8ua1Wo1nU6HTqeD\n", "zzdPLLY6DQCLxQKKolwZNGW12nj48HPOzlKcnaXY29vF6/WxshJ5qS+60aizt7dLOn1GOLyEx+N9\n", "JwPDrkNRFFKpU87OUgCEQguEw0uo1de5hicIgiAIgiB821wn6P0rwP8hSVL74s8m4C9LkmQB/rt3\n", "drIZUKlUaDTa6ZoR4f15cbjU2po08/7IQqFwkR21zzyDDJMs8vHxERqNhpWVCLlcll6vRyi08FKv\n", "6Hg8JpfLks1m6Ha7r3i0LCqVCpfLzcLCwpW+4xcD69v0Ol+WNU/61hXG4/FLAS9AoZBHrVbj8Xiv\n", "3F+lUrG4GMblcpNMxikWC1QqZXw+H263B73eQLNZ50//9OcUi0WWl5eJRKIz34F8Xf1+H1nep9Go\n", "YzAYkKR1rFbbBzmLIAiCIAiC8M3w1qBXluWfSZIUBaSv/pPcu/j3/+1N95Uk6Q+AvwFogL8ty/Jf\n", "/9rP/zXgPwJUQBP4d2RZfnrxs2OgAYyAgSzLt+od1ut10/5D4f05PExOh0vNOijpdrscHk720K6u\n", "vpuy5tPTyQColZUIWq2Ws7MzNBrNlQnFiqJQLBY5PT2m1+uhVqvx+eZxOl2YzWbUajWDQZ9ms0mh\n", "kKdcLlGplJmfn2dpaQVFUa4E1reRTp9RrVap12u43R7m5/3EYqtXbtNut2m327hc7tf2rF6WB+dy\n", "WdLpM7LZLNlsltFoxNHRId1uh5WVCN/73p/5YLtpW60We3s79Pt93G7PzPuqBUEQBEEQhE/Tdb8x\n", "aoDuxe2jkiQhy/Lum+4gSZIG+FvAnwfSwD+RJOkfyrK898LNDpn0B9cvAuT/Gfidi58pwJ+TZbly\n", "/afzMp1OT7fbQFEU0ev3npRKJYrFAlar9Z0Ml4rHDxiNhsRia8zNzb6tvNVqkc/nMZlMBAJBMpk0\n", "g0GfhYXFadlvo1Hn6OiQVquFWq0mFFpgYWHxpSDMYDBgsVgJBILUalWOjiZDl6rVKhqNhuFwwPLy\n", "ymtLn9+k2WxweJgknT5jYWERv99PNLr60u1K/z97dxbb2Lol9v3PWZwpkhI1zxIl1XDuvT3dodOx\n", "jSDoxA8GAiQNxw04aDdgBPFL4Al5seG32A8ZACNGx/FDHhwY8BDAiLvhOO446c7tvt2n77nnVJWk\n", "XZpFivM8c2/uvfNAiSWdUmmkqurUWT9AKInk3vsjxXOgxbW+tQp5ACKR6LXns1gsTE5OMTExSblc\n", "olKpsLOzjc/n4/nzz/jOd773wf4bqlTK7Oxsn80GXvzg45GEEEIIIcQ3x23m9P5XwH8LlOlnXc+9\n", "e2Nj3y8Ce4qiHJ2d558Afw4YBL1fG3f0E+Drf8k++C9sh8OBaZr0er2hz28Vb+t2u+zv72Gz2Vhd\n", "Hf6ez2QyMWgmFYvFhnruc0dHh5imycJCPxt7enqKzWZnenpmMLInn88B/e7F8/MLtwpaQ6FRvvOd\n", "75FInPDq1UtOTo5ZWFi416zfXq/Hy5cvOTzcZ3JympmZmXd2US4WC1it1ls3ybJYLASDIVKpFMFg\n", "kKWlZeLx9Q8W8FarFba3+5+xra2tE41eH7wLIYQQQghx0W0yvX8NeKooyvEdzz0NJC78nAR+6ZrH\n", "/yXgty/8bAL/Vzwe14HfUhTlH97x+sCbWb2qqkrQ+x7s7e3S62ksL6/cak7qXVQqZU5OjnE6nW+V\n", "8A5LqVSkWq0QCo0yOhomm82gaSqx2ASJxAnZbAZd1/H5fCwtLd+5dNtisRCLTbC/v4vL5cLhcPDq\n", "1QtWV+N3ylq/fPkVOzuvCIXCrKysvrNR2MXS5tvuq+71emxtvTzrBh35YA2r4E0DLYD19Y0PVlot\n", "hBBCCCG+uW4T9KbvEfBCP2i9lXg8/qeB3wB+dOHmHymKko7H42PAv4nH4zuKovzedecZG/O/dVuz\n", "OUq7XSUYdDE6+vb9YnhOT0+BLsvLszx7NtxRNu12m9evE4yOevnOd75DIDCcfcKGYWCab96qBwdb\n", "hEIevvvdTaxWODpSKJfz+HxO7HY70WiAhYUFJiYm7hUIGobBF1+8Znx8lO9//+doNBrkcjmOjxVW\n", "V1cH2eur3svnXrx4gaK8IBwO8Gf+zK+wtPTu/cBHR0VCIQ/x+MK15zynqipffrmDzaazvr5EPP7h\n", "At5Go4GiHBEIjPDkyRPJ8H4D3eY9J8Q3gbyXxadA3sfi2+w2Qe+/icfjfw/4J/T39QLcuKeX/j7e\n", "2Qs/z9LP9l4Sj8efA/8Q+FVFUcoXzp8++zcfj8f/d/rl0tcGvfl8/a3b6nWVSqVFOl2m15OmN4+l\n", "1Wrx5ZcvsFptrK5OXfm7uK9Op8OLF1+iqiorK6t0u5Z7nb/RqFMqlahWq7Tb7be6eheLBdLpFOFw\n", "hEqlRa1W4+TkiNHRMBaLi2h0grGxcaxWK4VC417P5fVrhXw+x/h4DLd7FLd7FMNwcni4zx/8wZ8Q\n", "CAT5+Z9/Rrf7dqCpqiovXnzJ55//EU6nix/+8E/h949d+1q8fn1Ep9PBNF03vmadTodXr17Q6XSY\n", "nJwiEpm+9/N8qH7w/QWqqrK2tn6r9YuPy9iYX35n4pMg72XxKZD3sfhU3PfDm9tEgX+Rftb2P/3a\n", "7Tft6f0cWI3H4wtACvg14M9ffEA8Hp8D/gXw64qi7F243QPYFEWpx+NxL/AfAn/nFmt9i8PRn9Ur\n", "Y4sej2ma7O4qGIbB2tr6YD7yMDQaDXZ2tlDV/jzei3NmbyubzZJOn9JsNoF+ibHT6SQQCGK1WrFY\n", "LOi6TiKRIBAIsrKyhtvtpl6vMT09yw9/+CPC4dvth73OwcE++XyOQCDA8vKb/bexWIxgMMjh4QGl\n", "UpGf/vSn9HpWgsEQbrcH0zSo1WokEsfs7+/jdnv41V/9jxkfv35P811Km5vNJltbL1FVldnZuQ82\n", "kgj62fDz3/n8/AJjY2M3HySEEEIIIcQ73GZk0cJ9TqwoSi8ej/8V4F/T7/78jxRF2Y7H43/57P7f\n", "Av4WMAr8g3g8Dm9GE00A/+LsNjvwjxVF+T+vu14ul8NieXsPqcPRf4r9OabiMRwdHdJoNIjFJm7d\n", "LOkmpmmSyaQ5OjrEMAzm5xfu3LG32WxycLBHrVbDYrEQjY4RjY4RDAbf6rJ8fHzE7Ows8/MLzMzM\n", "Uq/XKBYLjI6GhxLwHh4ekE6n8Hg8rK9vYrVaL90/MjLCxsYm1WqFTqfK/n6CRuNNlrXT6XB6esrU\n", "1BQ/+MEv3+p1vm3X5kajzqtXrwYjmh5j7vFd7O6+pl6vMz4eY2Zm9uYDhBBCCCGEuMY7g954PO5S\n", "FKV7lnV9i6IorZtOrijK7wC/87XbfuvC978J/OYVxx0A37np/Bf903/6T/n+9//9tzJUbzK9EvQ+\n", "hlKpSCp1itvtvves2XOGYdBqtahUymSzGTqdDjabnY2N9TsFnv2s7Qmp1CmmaRKNjl07FkjTNNLp\n", "FA6HcxDwpdNpAKam7t5Z+evP6fVrhWKxgMfj4enT59c2VAsGQ6yszBKJTNNqNWm3O3Q6HY6ODlhe\n", "XmFlZfXWHyzcpmvzeWdkwzBYWVl7tI7Yt3VyckyhkH8rGy6EEEIIIcR9XZfp/UPgu8BVm/pM+tnb\n", "j4ZhGPz+7/+//Nqv/eeXSjnPAwxVlfLmYet2u+zu7mK1WonHN27dHbjZbFKtVmg2m6iqiqapdLsq\n", "vd6bDyasViuTk1PMzMzeqVy6XC6xv79Ht9vF5XKxvLxyY8ffZDKBruvMzy9gtVrRNG0QpIZCo7e+\n", "9tepqsr29isajQaBQJD19Y1bdxC32+0EAkFsNjvHx0fY7XaWl1duXd59m9Lmer3G9vYWpmkSj28M\n", "LUt/X4VCgUTiBJfLdWU2XAghhBBCiPt4Z9CrKMp3z/79Rvzlubq6yuef/4yTkyMWF9+Mb7Hb7Vit\n", "1ksBlXi4fgZzh15PY2VlFa/Xe+Mx5XKJROKEev1yIwWbzYbT6cTn8+FyuQgGQ4RCoTuNmFJVlYOD\n", "fYrFAhaLhenpGebm5m8MnLrdLplMGpfLNQgos9kMhmEwMTF56+t/XaPRYHv7FaraH3e0vLxy5y7I\n", "lUqZnZ0ddL3H8vLKndZzU2nzeUmzYRgfRcDbaDTY23uNzWZjY+OJjBcTQgghhBBDc+2e3ng8bgf+\n", "SFGU772n9dzbs2fP+Pzzn6EoO5eCXuhneyXTO1x7e7vUajXGxsZvzD4ahsHe3i75fA6AcDhCOBzB\n", "7/fjcrlunSG+yvne3+PjY3S9RyAQYGlp5VZBOEAyeYJhGMzOvgmQM5k0NpuNsbHxe62pWCwOGnst\n", "LCzeeS8y9APv/f09LBYLq6txxsfvtpbrSpsbjcZZwKuzuhr/4AGvqqrs7GwNAvDb/u6EEEIIIYS4\n", "jWuD3rNmVI14PO5WFKX9vhZ1H1NTU/j9QU5PT9F1/a0S53b7o17+N8rJyTH5fA6/38/Kyuq1jzUM\n", "g+3tLSqVMn6/n6WlFXw+31DWUa1WODw8oNlsYrPZWVlZvVN3506nQzabxe12D4LKcrlEt9slFpt4\n", "q9nVbaTTKQ4PDwYl3/cJKA8ODtjb28Vud7CxsUEgELzT8deVNrdaLV69eomu91hZWfvgnZENw0BR\n", "tul2u8zPL3zwAFwIIYQQQnx6bvNX/Wvg/4nH4/8MaJ7dZiqK8j893rLuzmKxMDU1haJsk81mLnWg\n", "dTicNBqNt4JhcXfJZOLW+y5N0xwEvKOjYdbXN4ayT7Ner5FMJimVilgsFmKxCebnF+5cEptInGCa\n", "JrOz84PS40wmA8DExN1HI52cHJNInOBwONnc3MTnu9scsU187EkAACAASURBVPOmV7rewu12s7Hx\n", "BLf77Y7kNykWC8Dbpc3tdpuXL18MStLvmj1+DPv7e4OKAenULIQQQgghHsNtgl47sAVsPPJaHmx6\n", "egZF2SaZTHwt6H3TzOo+QYToOw/qXC4XT58+v7HB1MnJ8VAD3mq1QiKRoFqtABAIBFhcXLpzcAn9\n", "LG8+n8Pj8Qyynd1ul3K5hN/vv/M5Dw72SKfTjIyMsLn59M7vs/MS33q9zsLCFLHY/L0yzdDfz/v1\n", "0uZOp8PLl1+haSpLS8v3mnc8bKenSXK5LD6f78aKASGEEEIIIe7rNnN6/4v3sI6hmJ6ewWKxkk6n\n", "Lt1+HvT2m1lJ0HtXF/fkjoyM8OTJM0ZGRq49plIpc3qaZGRkhLW1+IMC3lKpSDKZGDTACoVGmZmZ\n", "IRgM3fucqVQS0zSZnn6TXcxk0pimSSx2twZW/Rm8abxeL5ubT+/UbRr6JcdbWy/pdruMj8f47LPP\n", "KBSuapp+u3N9vbS52+3y8uVXqKrKwsIik5MPG8M0DOVyiePjI5xOp3RqFkIIIYQQj+q6Ob2/rCjK\n", "78fj8T9Lf0TRJYqi/PajruwePB4PPp+PUqmIaZqDktU3mV7p4HxXjUaD3V2FVqtFIBBgfX3zxjJi\n", "XdfZ3X2NxWIhHl+/d8Yyn89zepqg2exX1UciUWZmZu6V2b1IVVWy2Swul2uQ5TVNk2w2i81mv9M+\n", "12QyMZhT/OTJszuXWNdqVba3t+n1NObm5pmdnbtzl+eLvl7arKoqL19+RbfbZW5u/l5NtYat1Wqh\n", "KAoWi4WNjc13zk8WQgghhBBiGK6LRv4i8PvAX+eKoBf46IJe6P+xf3R0QLVaGcxYdTj6mTcZW3R7\n", "mqaRSByTyWQwTZPJySkWFhZvlZFLJE5QVZWZmdl7BajFYpFE4phms4nFYmFsbJzp6ZmhdfVNp1MY\n", "hsHMzOwgwCyVSmiayuTk1K2zjtlsluPjI1wu170C3mKxyOvXO5imycrKGrFY7M7P5esuljZrmsar\n", "Vy/odDrMzMwyOzv34PM/VK/XY3v7FbreY21t/cEfYAghhBBCCHGT64Le//vs399QFOXgfSxmGMbG\n", "xjg6OiCbzQ6CXqfzzZ5ecT1d10mlTjk9TaLrOm63m8XFJUZHw7c6vtVqkU6ncLlcdw6y2u02+/t7\n", "VKsVLBYL4+MxZmZmh7oPu9frkU6ncTicjI+/CTJzuSzApduuU6/XODjYw253sLn59M7ZyvORRFar\n", "lfX1jVu/vte5WNpsGAavXr2g1WoxNTXN/PzCg8//UKZpsrOzPQjCP3TnaCGEEEII8e1wXdD7V4H/\n", "DfhnwEc/p/dcNNrvSJvP54jH1wGw2/tBr6ZJ0PsupmmSy2U5OTlGVVUcDicLC4vEYhN3Krc9OTk+\n", "m0+7dKd9mtlshoODfQzDYHQ0zMLCIh6P5z5P5VqZTBpd7zEzszBYn6ZplMslvF7vrcYp9ZtObWOa\n", "JvF4/M7rzGYzg5FET548HdoIp0IhD0AwGOLVqxc0m00mJydZXFwayvkf6vBwn2q1Qjgc+SiCcCGE\n", "EEII8e1wXdBrjcfjfx+Yjsfjfw+4GPmYiqL8jcdd2v30s0cWSqXS4LbzxkKa1vtAq/q4lUpFjo+P\n", "aLVa2Gw2ZmfnmJ6eufN4p1arRbFYwOfzEY1Gbz6AfrC9v79HNpvBbnewuhq/9bF3ZRgGqVQKm83O\n", "xMSbZlX5fO6sgdXNHY1N00RRtgdNoc6rCW7rYsD79OmzoZVsQz/oNQyDdPqUTqfD5OQkS0srQzv/\n", "Q2QyadLpNB6Ph7W1+IdejhBCCCGE+Ba5Luj9z4D/BDB4M58X+sHvVXt8Pwputxu32z0YawOXRxaJ\n", "N9rtNoeHB5TLJSwWCxMTE8zOzt+5+/C5ZDIBwMzM7cqaDcNAUXYolYr4fD7i8Y0bu0I/RD6fQ9NU\n", "pqdnLjXXymYzWK1WotGby20PDvpzZaPRsTs3hSoUCuzv7z1KwNtoNKhWq1QqFcbHx5mcnGJpaXlo\n", "53+IarXCwcE+druDjY0nMitbCCGEEEK8V+8MehVF2QX+bjweTyqK8o/f45ru5Z//83/Oz//8L+Px\n", "eBgdHSWVStHpdBgZGcFisWC3O6SR1RnTNEkmEySTCQzDIBgMsbi49KAgrNPpUCjk8Xg8l+bDXreG\n", "84A3GAyxsbH56MFQOp3CYrFcGtnTaNRptVpEItEbG1FlsxkymQxer/fOc2Xr9Rq7uwpWq5UnT54O\n", "NeAFODo65OBgj6mpGaanZ1hYWBzq+e+r2+2iKAoA6+vrj/qhhhBCCCGEEFe5cdPlNyHgBUgkEvzb\n", "f/tvAM5KTk3K5Yslzg4ZWcT5zNYXnJwcY7fbicc3hpJ1PD1NYJrmrbO8R0eHg4B3c/Pxs3+1WpVm\n", "s0kkEr3UdOpNA6vxa4/vN67qZyvX1+8WoLfbbba2ts72AK8PbQ/vudPTJH/8x3+IacJnn33nowl4\n", "+5n8bTRNZXFx6UFzlYUQQgghhLiv+w1Q/QhNT0+jKPskk4lBJ9xisTjI6tntDlqt1qX5vd82lUoZ\n", "RVHo9TQikSgrK6v3nqF7UbfbJZfLMTIycqv9uNlsllTqFI/Hw/r6xp0aXt1XOp0GYHLyzV5ewzDI\n", "5ws4HM5ruyd3u122t/uNq9bW1tA0lXw+R71ep9Npo2k9TNPAarXhcNhxu/vzor1eLx6Pl+3tV/R6\n", "GsvLK0Pp0nyu2WxycLBPJtMfwfTd7/4cU1PTQzv/Qx0e7lOv1xkfj13KrgshhBBCCPE+fTJBr9/v\n", "R9d1Xr58wbNnzwG+luk9b2al3XvP6jfZ+Ygci8XC8vLKpUZOD3V6mnxr7u279PcR72Oz2Vlf3xxK\n", "0H2TbrdLsVjA6/USCAQHt5dKJXo9jenpmXeuW9d1dna2qFTK+P1+FEVB1980RLPbHTidDqxWK7qu\n", "0+2qg4Ze0N/n3Om0WVhYwm53oKrqg99/zWaTVOp00IALLCwvr7K09HF0aYbLpeDLyx9HMy0hhBBC\n", "CPHt9MkEvSMjIzSbTZLJBD/4wY8AqNVqg/sdjv5THUbQ8U1zeprk6OjwrJHQxqXA76E0TSOXy+Jy\n", "uW6ccWuaJnt7r9F1nbW19aHO371OJpPGNM23so3npc1jY1eXNrfbbf7wD3/M0dHBIHPrdNoZH58k\n", "EAgRDAav3Afc7XZpNBocHOyhqip2ux2bzYaibAP9ZmuBQBC/P0AgEMDlcl2b7e71ejSbDWq1GsVi\n", "gWaz31fO4/EwN7fA/v4epmneuZP0Y+k/9zel4O8jky+EEEIIIcS73Cvojcfjf0dRlL897MU8RK/X\n", "w+fzU6/XKBRyOJ0u6vWLQa/z7HHfrn29yWSC4+MjXC4XT548G3qgmUqdous68/MLN2Z50+nUoPNx\n", "f7TU4zMMg2w2i93uuBTcappGpVIeBLMXby8WC+TzOV69ekW1WsbvD/D8+XeJxWIEg6Ebn6fL5ULT\n", "VHq9Hmtr6zx//hmaplKr1ahWq9TrdbLZDNlsZnCMw+HE4bBjtVqJRPwUi3V0XUfTepfes1arldHR\n", "MBMTE4TDEYrFIpqmMjk59VGU7RuGwe6ugmEYrK8/bjduIYQQQgghbuO+md7UUFcxBJqmYbPZqFar\n", "nJwc4/P5qFZrGIaB1WodZHe/Tc2sstnMIOB9+vT50AOQXq9HOp3G4XDeOONW0zROTk6w2ezvdZRO\n", "oVBA01SmpqYvZRyLxQKmaRKJRKnXa5TLZSqVMo1GA13XSaVO6fU04vF1fvjDf+9O1QGGYfD6dT/w\n", "29jYHIzRCgSCzMzMYpomzWZz0Fyr2+3S7XZQVQ3TNKjVTNrtzmCPsN/vHxwfDAYvlYS/acR1fZb9\n", "fTk6OqDVajE5OTXU/ctCCCGEEELc172CXkVRfmvYC3moaDTKyIiLTqdNMplgbCxGqVSk0WgQCASw\n", "2/tlqJr27ZjVWy6XBjNhnzx59igZt3Q6ha73mJ1dvLGE9eTkCF3vsbS0fONooGHKZN4eU9TpdNje\n", "3iabTQ8+FAGwWCyMjIxQqVSIxSYIh8Nsbj69877j4+Mj2u02k5NTV5YcWywWfD7fO7s4j435yefr\n", "N15H0zTK5RJer3foHaHvo1Qqkk6n8Xq9H00HaSGEEEIIId7513w8Hv+zgPmu+xVF+e1HWdE9LSws\n", "8OWXW1itVrLZLNPT/dE51WqZQCCA03ke9H76md5ms4miKFgsFjY3Nx9l72w/G5rCbnfc2BSr2WyS\n", "zWbxeDxDbaB1k0ajTr1eZ3Q0jMPhIJ1OkctlKZfLvH69jcfjxePxEAqFCAZH6Xa7JJMJXC4X0egY\n", "q6trd96PWqtVSadTjIyMMD+/8DhP7Ewul8U0zY8iy6uqKru7u1itVlZX47KPVwghhBBCfDSuS2H9\n", "da4JeoGPKuiNRqNEo2NYrTYajQaq2gWgWq0xO8uFTO+nHfT2ej22t1+h6z3i8Q38/sCjXCebzdDr\n", "aczOzt04szaZ7M/wvc2+32FKp9NnI6rg88//mF5PG1x/amqa58+/w9TUNMVigZOTfnbWZrPdu7t1\n", "fz/rawBWV9ceffZwJpPGarW+sxHX+7S7+5peT2NpafnBM5+FEEIIIYQYpncGvYqi/Kn3uI4HOy9h\n", "HR0NcXqaotNpAf3MG1weWfQp29vbpdvtMjs7d6uZufdhGAbJZBKbzXbjXNhms0mxWMDn8xEORx5l\n", "PVfp7yE+JpfLYrFYsNnszM7OMTk5xVdf/Yxms0mlUuH0NIlpmlitVmKxCWZmZu9dCn50dEin02Fq\n", "anqoHbKvUioV6XQ6xGIT77Vc/Cqp1CmVSpnR0bDM4xVCCCGEEB+dGzcrxuNxK/AbwKqiKH8zHo8v\n", "AFOKovz4sRd3V+FwmImJafb39yiXKwBUq/2g12azYbPZPuk9vZlMmmKxQCAQZHZ27lGvo2kqMzOz\n", "N+53Pc/yPuZ6rvLy5Qv29/eYmJhgYmKC+flF6vUaX331JZ9//sf4/X5CoRB+v59IpF8l4HK57n29\n", "arVCOp3C7XY/elkz9LPYwHstF79Ko9Hg+PgIh8PJ6uraB12LEEIIIYQQV7lNh57/DogB3wP+JtAA\n", "/kfgFx5xXfcSDIYYHR3FYrFSqZQJBIKDTC+A3W7/ZDO9jUaDw8MD7HYHa2vxRysjvkuWt91uf5As\n", "7+HhPj/96efY7XZ+9KNfYWRkhK2tl9TrdXK5LG63m2fPnrO6Gh9Kgy9d19nb28VisdxrH/BdtVqt\n", "wfv7Qzaw0nWd1693zsYTrX7wjLMQQgghhBBXuc1f538a+AtAC0BRlAJw/5TYI7JYLMRiEzidTqrV\n", "KlarlWazgWEYQL/E+VMMek3TZG/vNYZhsLq6+qCM5U3Os7yTk1M3Bjnp9CmmaTI1NfNo6/m6/f1d\n", "tre3sVqt/OAHP6TTafPVVz+jXq8TiUQZGxtnbS3O5ubToXW0Pj5+U9b8WHuoLzo9TQLc+KHDYzs4\n", "2KfdbjM1NS3jiYQQQgghxEfrNkFvR1EU4/yHs3Ln99eN6I7Gx8fx+wM0GnV03UDTNFqt/v5eu92B\n", "YRj0er0PvMrhOjw8IJfL4XK5sFqtg+c7bBdn7d4UcPV6vcGaHmtv8dcdHOyTyWRotVosLi5hGCZH\n", "R4fY7XY2N58wMzODxWIhHI4MrclUpVImnU7j8XiYm5sfyjmv0263yedzeDweIpH3lz3/ulwuRy6X\n", "xefzyXgiIYQQQgjxUbtNefOLeDz+64D1bD/vfwP83qOu6gECgQCRSJRCIY+mqVitFiqVMj6f71Iz\n", "q7vOXv3YtNtt0ukUmUyaly9fYLXaGBkZ4dWrl0A/wA+Hw8RisaE1VUokjtH1HouLSzdmeTOZNLqu\n", "Mzs79146NqdSp6TTKSwWK+Pj4zQaDSqVMl6vl83NpzidTo6PjwCIRIYThPd6vfda1gwX90g/foD9\n", "Lq1Wi4ODPWw2G2tr6++1I7cQQgghhBB3dZvI778G/ntgEvgj4F8Cf/UxF/UQPp+fsbExXr78ina7\n", "hdfrpVarAQwCNU1TH2V27fvQ6XQ4OjqkWCwAcHJyjN/vZ319k1gsRq/Xo9PpUK1WyOWy5HJZ/H4/\n", "8/MLBIOhe1+30WiQyWRwu903dug1TZNMJo3NZiMWm7j3NW8rn89zeHiA0+nE5/Oxvb2F2+3B7/ez\n", "ufl08AFHqVTEarUSCt3/dbhof39v0Cnb5/MP5ZzXaTabgyzv+8qef12v12NnZwtd11lbW//G/nck\n", "hBBCCCG+Pa4NeuPxuA34a4qi/OZ7Ws+D2Ww2JienME2TVus86O03s3oT9H4zy5tPT5OcnBxjGAZ+\n", "vx+XawTTNAmHI2xuPnnr8f2Owv2Ozi9fviAaHWNxcWmQ8b6t/vxZBdM0WVxcujGzV6mU6Xa7TExM\n", "PHpGvVqtsLf3GpvNztpanB//+PepVMrMzS2wsfFkcP12u02r1RpaaXMul6NQyBMIBN5bZ+qDgz1M\n", "0/xg5cSmaaIoO7TbbaanZxgbG/sg6xBCCCGEEOIurq3HVBRFB/6j97SWoTkfP9NsNtF1g3q9DoDD\n", "cV7e/M0aW6RpGq9eveTo6PAsuFvn6dPn1Os1bDYbS0vLVx4XDIZYX9/gs8++g9/vp1DI88UXPyWb\n", "zd7p+kdHB7RaLSYnJ2/VsOj8/I+d5W02m2xvbwOwvr5OoZAnmUwwPh7jyZOnl0qwS6UiwFC6SHc6\n", "HQ4O9rHZ7KyuPl6n7Iuy2Sy1Wo1IJPrBmkbt7r4ezON9H2OZhBBCCCGEGIbbpOH+VTwe/+vA/0p/\n", "XBEAiqI8TrekIYhEIng8HrrdDt1uh0ajv2yHo/90VfWbE/Q2GnW2t7dQVZVQaJS1tTgOh4NkMkG3\n", "22V6eubGLsQ+n59nzz4jk0lzfHzE3t5r8vkcS0vLeDyea4/NZNKk02m8Xi8LC0s3rldVVUqlIl6v\n", "91FLfrvdLltbL9H1HqurcQKBIL/92/8Hpgm/8Au/9FbZbalUOmti9bCAUdf1s/Le3tBGHt3kvKTd\n", "ZrOxuHjz72DYTNPk4GCPfD5HIBAgHpd9vEIIIYQQ4pvjNkHv3z779+9euM0EhtP+9hF4vV6CwSCp\n", "VJper0ezeTnT2+t9M8YWVSpldna2MQyD+fkFZmZmgX5gmUwmsNsdg9tuYrFYmJycYnQ0zMHBPuVy\n", "iS+//ILJySlmZ+euLPlNJhMcHx/hcDiJxzdu1agpn89hmuajZnl7vR5bWy9RVZX5+QXGx8f52c9+\n", "Sr1eIx7feOvamqZRr9fw+/0PniX7+rVCs9lkcnKS8fHxB53rNgzDYGdni15PY2Vl7VHHUb3r+oqy\n", "M/ggY2PjydA6XwshhBBCCPE+3Bj0Kory+C1ph8zj8TI6Gubk5ARVVWm3O2iaNtjLqqoff9Cbz+fZ\n", "3VWwWCzE4xuXxtP0uyjrLC8v3nnP7MjICJubTygWixwe7nN6miSTyTA+PkYwOIrDYafdbpPJpGk0\n", "GjidTjY3n966YVE2m8FqtTI29jgBoa7rbG29PCu3nmJmZpZ6vcarV69wOJysr2+SzWbPsvxdNE2j\n", "UCiQTJ4wP7/A6WkSj8dDIBC8U/DWn4W8S6lUJBgMsbh4uaS83W7TaDRQ1f41rVYrdrsdt9uNz3e/\n", "YNs0zUGQPTExQSwWu/M5HqLRaLC7q9BqtQgGQ2xsbErAK4QQQgghvnG+2XN73sHhcDA+PkGv16Pb\n", "7WIYOs1mg2AwhMViQdM+7qA3lTrl8PAAm83O5ubmpZFD7XabbDaLx+N5UDY1EokwOjo6GPWTTvfL\n", "mC+6a+OrWq1Ku91mbGz8URpYGYbB9vYW9Xqd8fEYS0vLNJtNfvd3f5e9vdfMzMyyv7/71nHJ5An1\n", "eo1ut8vR0SEAVqsVn89POBxmdDR8bZm3YRjs7e2Sz+fOOmVvAP1MfKlUpFgs3lgy7/P5GB0NEw5H\n", "8Pl8Nz7XXq/H69cK5XKJQCD4VpD9mDRNI5E4IZvNYBgGk5NTt2pgJoQQQgghxMfokwx6Aaam+mN1\n", "2u02ANVqjVBoFLvd8VE3sjo6OuT0NDnIsHq93kv3JxIngzmtDw1CrFYrMzOzTE/PUK1WaDQa6LqO\n", "y+UiGAzdeRxNJpMBeJSMZK/XY3t7i1qtSiAQxOPx8LOf/ZSDg322t1/hcDhYWlomFpvA5/MxMjKC\n", "yzWC3W7HYrEMXs9+RrZOpVKmVqtSq1U5OjrE7XYTDkcIh8P4/YHBa9tsNtnd7Wdb3W430eg4+/t7\n", "lMtldL3fBdxudxCNjuH3+xkZGcHhcGAYBprWo9VqUqvVqNWqNBoNEokTRkZGCIcjRKNRfD7/pd+j\n", "YRhkMhm++OLlYB/3+vrtSssf+vrWalUKhQLFYgHDMBgZGWFpafmDNc4SQgghhBBiGB416I3H478K\n", "/A/09//+L4qi/N2v3f8XgL8BWIA68F8qivLVbY69SSQSxeVy0em0zzo4n8/qtdPtfnxB73n5bC6X\n", "xe12s7n59K0mSa1Wi0Ihj9frHeqcVovFQig0Sig0eu9z9Ho9isUCIyMjD5oHfJVWq4WibFMqldA0\n", "DdM0qdWqdLsdWq0Wfn+An/u5X+CHP/zltz4IKJWKmKZJNDqGx+PB4/EwOjrK1NQ0uq5TqVSoVMpU\n", "KmVOT5OcniYxTRPTNKjV6tRqVXRdx+fzE4lEODzcB8DlcjE+Pk4kEiEQCF7zAUR08PpUKhWKxQLl\n", "colU6pRU6hSr1Yrb7cZms9PraXQ6HQKBEXq9HnNz88zMzD5KhlVV1bNgvEKtVqPVamGaJgBut5up\n", "qWlisQnJ7gohhBBCiG+8Rwt6z2b8/n3gPwBOgT+Ox+P/UlGU7QsPOwB+RVGU6lmQ+z8D37/lsdcK\n", "hUL4fD6q1SqdTod6/XxWr3PwB/7H8ge9rusoyg7lcgm/38/GxpMr94CeZ3nn5uY/wCqvl8/nMAxj\n", "qA2sTNMkk0mzs7NNKpXC5XIyMTGJ1+slFpsglTqlVqsxNjb2zvLbYrFIs9mg0ajz4sWXNJutQYb2\n", "3HkWtd1uU61WaDYbdDpdTNPA7XYzNhYjEokOGqSNjobfysDfxG63E41GiUajGIZBpVKmXC7RaDRo\n", "tzvoehObzY7X62V+fgaHwz/UplXnQXe1WqZSqdDpdC49f78/QCAQYHR09FI5vRBCCCGEEN90j5np\n", "/UVgT1GUI4B4PP5PgD8HDAJXRVH+4MLjfwLM3PbYrysWi8Cbvadut5tAIEi5XKHValCr9Ts4v2lm\n", "pb73TrhX0TSN7e1X1Ot1RkfDxOPrVzYLajabFAp5fD7fUGbNDls2m8FisTA+/rDSZtM0abfblEpF\n", "kskEicQxtVqNyclpZmfnmJmZOWtSdjwI3ILB0FvX1TSNVOqUH//4/0PTNLxeHxaLBbfbjcPhw2az\n", "YZomhmFgGDqGYeByuYhGozgcTvx+P36/H5/PPyiRHhar1XpWSn3173FszE8+X3/wdQzDoFQqUSjk\n", "KZdLGIYBgM1mZ3Q0TCAQIBgM4vX6Hr18WgghhBBCiA/lMYPeaSBx4eck8EvXPP4vAb99z2N58eIF\n", "bneIpaV+wx+Px0soFOL4+Ihms0mz2Z/Ve95gSdO0Dx70djodtrZe0m63GR+PsbKy+s7gKpE4Afgo\n", "s7yNRp1ms0kkEr2x6VWn0znLvrdRVRVN09D1HpqmoWm9wTipSqVCJpMmGAzx7NlnrK6uDfaWNhoN\n", "kskE7XabcDjC+Hhs8HvVdZ1U6pTT0yS1Wg1V7bK6usqTJ08JBILfiuCuWq2Qz+cpFAqDrLbH4yEa\n", "HTurgPB/NFUOQgghhBBCPLbHDHrN2z4wHo//aeA3gB/d9dhzXq+X09MU4XCYUGgUh8NBLDaBYRh0\n", "uyqNxuVM74duZtVsNgezZqenZ1hYWHznY1utFqVScdAB+GOTzV7fwMo0TfL5PKlUkmaz+db9FosF\n", "u92B09n/ymQymKZBPL7O0tIyk5NTgyDNNE3293cxTRO3243VamVycgrTNMnlspycHKOqKg6Hk2Aw\n", "SDy+zrNnzx+0X/mb4GITqvNO0k6nk4mJGaLRsVt1jBZCCCGEEOJT9JhB7ykwe+HnWfoZ20vi8fhz\n", "4B8Cv6ooSvkux160sbFBq9WiWs2xujp3du4lfvd3bdhsJg6HhUDAycTEKNVqjkDAxdiY//7P7gGq\n", "1SqKsofHY+f583VmZmaufbyipAgG3Tx5svHB1vwuuq6zs9NkYiLM6urcWxnEfnC/RbPZxOWyMjEx\n", "Szjc3xPrcrlwOByDLG2lUmFra4u5uQlCoRDr6+tvNfM6OjrCbjeYnIycjUcaw+u1cXDQ77Ds97uY\n", "nV1hdnaWzz//HFVVWVmZHVqGV9M0ut0u3W6XTqdz6Xtd75dJ9xth9feMWywWrFbrrb+3Wq3U63ls\n", "NtuVX1arFV3Xz+ZPt8+aUdXo9foZ3UBghLGxWWKxGMHgdQ22hHh8H9v/r4S4L3kvi0+BvI/Ft9lj\n", "Br2fA6vxeHwBSAG/Bvz5iw+Ix+NzwL8Afl1RlL27HPt1Pp8Pq9VNMpkjHD7F7w/gcvkxDKhUalQq\n", "TQ4P01gsUKm0yGTK2Gx3a0Y0DMVikdevdzBNk5WVNVyu4LX7N7vdLopyeFaKPTKUvZ7DlM1mKRbr\n", "zM7OUSg0Lt2Xz+fZ399F13VisQlmZ+cGJeWaBprWA/rBWjKZ4OTkGID5+QWmp2eo1zXq9TczlavV\n", "Cq9ebeN0Oun1uuRyBZpNld3dYywWC7FYjNnZeZxOJ8lkgXS6SCQSpVh8O7t8FV3X6Xa7qGp3EMyq\n", "qkqn00FV+9/run7lsf2A1XYWvPZ/7ge/DLpBn+8hvkko5KFSad1qzcCgY3YkEiEUGj2bRc1bvw8h\n", "3qdh7U0X4kOT97L4FMj7WHwq7vvhzaMFvYqi9OLx+F8B/jX9sUP/SFGU7Xg8/pfP7v8t4G8Bo8A/\n", "iMfjAJqiKL/4rmOvu16v12NiYoJisUA2m8XvD5zNmvVQqZTp9TRqtSpjY2MAgxLQ9ymbzbC/v4fV\n", "amVjY/NWJbenp0kMw2B6evbGx34IudzVDayy2Sz7nPrt6wAAIABJREFU+7tYrTbW1zeJRK5u2mQY\n", "Bnt7u+TzOZxOJ/H4+pXdg1VVRVEUoN+Z+4/+6CeYponH4yEcjjA/v4DH4xk8vlQqAlzZLKrb7dJo\n", "NGi1mrTbbdrtFp1Od7Cf+Cp2uwO3243T6cLl6n85nS5GRvr/Op3OW2dVzzPBF7PC598bhkE47CGb\n", "raDrxln2WEfX33zZ7XacTidOpxOfz39lp28hhBBCCCFE36PO6VUU5XeA3/nabb914fvfBH7ztsde\n", "58c//jGRyDROp5Niscjy8gputxu/30+xWKDT6Zx1AZ4CGJSDvi+ZTJr9/T3sdgdPnjzB57v5UwpN\n", "08jlsjidTsbHx9/DKu+m2WxSq9UIhUYvlSEXCgX293ex2ew8efL0nftJNU1jZ2eLWq1GIBBgfX3z\n", "ygBO13W2tl5Sr9dwOOz85Cc/odGo8dln32Vz88mVQXKpVMRisRAOhwcjgkqlEtXq5XE90O+mPDIy\n", "gs/nuxTQulxOXK4RXC7XUBtgXSxpvkog4KfblbJkIYQQQgghhuFRg973yWq1srf3mmAwSKVSoVar\n", "4nZ7CAZDZ/ska9TrtUsji96X84DX4XDy5MnTW894TadT6LrO3Nz8R7k3M5tNAzAxMTm4rdFosLur\n", "YLXazoL7qwPeVqvF9vYrOp0OY2PjrKysXhkE6rrOz372Bbu7CjabjdHRMLre49mzz/j+93945blV\n", "VaVer2O3Ozg8PKBYLA66GNtsdsLhCH6/H4/Hg8fT31v8Mb6+QgghhBBCiIf7ZILejY0Nfu/3fkKt\n", "VgWgVCqxuLjE6GgYi8VCo9Gg0ahjtVqx2WzvrXtzv8z37gGvruuk02ns9n4X6o+NruvkcnmcTifh\n", "cL+jdK/XQ1G2MQyDjY11fD4/jUadSqWCqqqYpoHL1c8IJxInGIbB7OzcO8cwVSoVfu/3/h2pVAq/\n", "38/6+gadTpfl5RU2NjavPMY0TXZ3X7O/v0soNEqv1x9NFYvFiEaj+P2Bx3lBhBBCCCGEEB+lTybo\n", "jUQiBIMhyuUSuq5TrVYAiMUmAQvtdpt6vd/Yx+FwoGnv3r85LNVqhYODfknz06fPLu05vUkmk6bX\n", "05ibm8dmsz3iKu8nn8+h6z2mp99koff39+h0OszMzGK32/nyyy9oNC43U+p0OhweHqDrOmf7uKnV\n", "qvj9gcF5ms0mX375BVtbW+i6xvT0DL/0Sz9kZMTFV199SSAQuHJ0Uy6XI5k8YXt7m3a7w2efLTA/\n", "v/DJjysSQgghhBBCvNsnE/QCTE5OUa1WaLVaNJtNNE1jfHwMu91Op9Oh1WpgGAYOh+OtYGzYOp0O\n", "Ozs7AKyvr98p4DUMg1TqFJvNNtiD/LHJZNKXGlgVCgUKhTyBQD94ffnyBQCRSJRodIyRkRFarRZf\n", "fvkF4XCEcHgUp9NFInFCInGCzWbD4XBQKORJJBLoeo+REQ8/+MEP2dx8gsVi4cWLr4B+d+eLGo06\n", "Bwf71Ot1DMPE6XTy3e9+l88+++57fU2EEEIIIYQQH59PKugNh8M4HE56PQ3TNKlUKoyPxwZBbrPZ\n", "otvt4nA4MU2TXq83mBE7TKZp8vr1Dr2exsrKKsFg6E7H53JZVFVlenrmUdb3UPV6jWazSSQSxeVy\n", "oWka+/t72Gw2LBYLicQJTqeT9fWNQTlxo9Hg8PAAr9fL8+efEYtN0Ov1qNWqVCpl8vk8u7uvaTab\n", "eL1e1tc3efr02aCxValUpFarEg5HBo2rdF3n6OiAbDaLaZpEo2P4fH6sVgsTEx/nhwVCCCGEEEKI\n", "9+vji6gewGKxEImEqVbLtFpN6vUqXq8fr9dHpVJGVTs0Gg2czn4gparqowSVJyfH1Ot1xsbG77wf\n", "1zRNTk+TWK1Wpqamh762YchkMgBMTPSf2/HxEb2ehs1mpVqt4vf72dh4MghYG40Gr169RNd7LC+v\n", "Eov1s8N2e7+plK4b5HI5ZmfniEbHWFxcGjQcg37m+/DwAIvFMsjyNhoNXr/eod1u4/F4WFpaJhgM\n", "8fp1f6zRVaOKhBBCCCGEEN8+n1TQC/1y2nQ6TS6XHQSegUCARMKg2WxTq1Ww2/vBWL+Z1e3Ljm+j\n", "0WhweppkZGSE5eWVOx+fz+fpdDpMTk5eCvw+Ft1ul0Ihj9vtJhQapV6vkc1maDabeDwefD4fm5tP\n", "Bx8mvCvgPXdycjwob15bWx/MUb7o9DRJp9Nhamoaj8dDJpPm8PAAwzCYmppmfn4Bq9WKaZqUSiVc\n", "Ltc7u0YLIYQQQgghvl0+uaA3GAxht9vR9R7NZhOXa4RgMITNZqXRqFKr1QcZSk0b/qzeg4M9TNNk\n", "eXnlXg2oTk8TWCwWpqZmhr62YUilTjEMg+npWQAODw9oNpsAuFyuOwW8+/u7ZDKZwXFX7Xtut9uc\n", "niZxOJzMzs5xeHhAKnWKw+FkfX31UkOrWq2KrvcYH387cBZCCCGEEEJ8O709GPUbzmKxEAgEsVis\n", "qKpKp9NmbGwci8VKvd6gXq99LdM7PNlshnq9TjQ6dq+OwcVikVarxdjYOCMjI0Nd2zD0ej2y2SxO\n", "p5OxsTGy2Szlcpl6vYbP5yMeXx9kp28KeA8O9shkMvh8Pp4//86VAa9pmuztvUbXdRYWFgcBr9vt\n", "5vnzz97q4FwsFgEpbRZCCCGEEEK88cllegFCoRAej5dGo069XicWG8dut9NsNmk06oM9vcMcW6Tr\n", "OsfHx9hsNhYXl+51jmTyBIvFwvT0x5nlzWTS6HqPmZkFDMPg+PiIbDbD+HiMubn5QYOpmwLe4+Mj\n", "0uk0Xq+XJ0+evXNfdSp1Sq1WIxKJnjW7yuH3+y9lky8qlYrYbPY7Nw4TQgghhBBCfLo+uUwv9Euc\n", "PR4PzWbzLPM6jsPhpNNpU6tVcTj62UhVHV6mN51OoWkqU1PT99qLW6mUaTQahMORO403el96vR7J\n", "ZBK73cHExCQnJ8cUiwWcTieRSGQQqNdqVV6+fIGu91hZWXsr4O3P0k0wMjJybcBbr9c4OTnG4XBi\n", "sVjI53MEAoF3HtNoNOh2u4TD4cG8XyGEEEIIIYT4JINer9fLyIgbTdOo12tEIhHc7v7P1WptEDQN\n", "K+i9GBDet+PyyckxADMzs0NZ07Alk4mzLO8M3W6X09MkhUKesbFxlpdXsVgsVCpltrZeYRg6q6tx\n", "xsfHL52j0aizv7+LzWa/1N3561RVZWdnG9M0CQT8FAp5vF4vGxtP3rlPulSS0mYhhBBCCCHE2z7J\n", "oBfA7/djs9lotVrY7XZ8vgCGYdBoNNA0DZvNTrfbGcq1UqlTdL3H9PT0vUYgFYtF6vU6kUj0o+w6\n", "3O12SadTOJ1OJienODw8IJvNEI2OMTc3j8fjIZfLsb29hWmarK9vvNWFudfrDQLZ9fX1d2aze70e\n", "29uvUFUVvz9AsVjE6XSysfHk2te2VCpitVoZHb37XmohhBBCCCHEp+uT3NMLEAgE8Hg8tFotNK1H\n", "MBgA+mWzjUYdl8tJt/vwTK9hGKTTaex2B5OTU3c+3jRNTk6OsFgszM3NP3g9j2F/fw/DMJibW6BU\n", "KpHNZlBVlcXFcaampgcNpvoZ3I0r99Tu7+/R7XaZnZ17Z5MvXdfZ3n5Fo9EgEAjSbDYGWWGXy/XO\n", "9XU6HZrNJqHQ6L06ZgshhBBCCCE+XZ90ptftdtNqNen1NEZHR7FardTrdarVCk6nC13voev6g66T\n", "y2Xp9TQmJibuFXDl83larRbj47GPci9vPp+nXC4RDIaIRqMcHR2QyWSYmJgkFpvg5cuvLnVUvirg\n", "zefzFAp5AoEAs7NzV16n0+nw4sWX1Go1wuEIqqqi6zqrq2s3Zr/L5RIAkYiUNgshhBBCCCEu+2Qz\n", "vX5/ALfbSy6XHYwBslqtNJsNarU6oVA/OOt2uw8KNlOpU6xW672yvIZhcHJyhNVqfWcw+CF1u10O\n", "Dvax2WwsL6+QTCbI5XLY7TZ6vR4nJ8eYpsn4eIzFxaUry497vR6HhwfYbDZWV+NXNpkqFovs7++h\n", "aSqTk5NoWo9Op83U1PStAlkZVSSEEEIIIYR4l0826LXZbPj9PnRdp16vMzY2htPppNnsz+o9b7Kk\n", "qvcPesvlEu12m/Hx2L06NqfTKbrdLlNT09eW734I56XGvZ7G8vIKhmGgKNtsbb0kEAgMZgkvLCxe\n", "G2weHR2iaSoLC4tvzR5uNBokEieD/bhLS8tYrVb29nYJBAIsLCzeuM5er0etVsXv99/rdyCEEEII\n", "IYT4tH2yQS/09/W6XG4ajTrRaBS320O5XKJcLg2CzIfs681kMgD3yvJ2u10SiRMcDudHl+XtB7g7\n", "NBoNPB4PjUaDf/fvfpfDw0NcLifT0zNsbj4hFpu4djxQtVohm83g9XoHXa1VVaVUKlIoFKhWKwAE\n", "AkGWl1ewWq387Gc/xWazs7a2fqvRQ8ViEdM0JcsrhBBCCCGEuNInHfT6fAHcbjftdgubzY7P1y93\n", "LpWKg6BXVbv3One326VcLuH3++/Vcfno6BBd11lcXL5Xx+fHoqoqn3/+ExKJBKZpMjMzSzqdplIp\n", "4/V6ePbsM37lV/7UjfuXDcNgf38Pi8XC7Ow86XSKYrFAvV7HNE2gH+zOzMwwOhoG4MWLr8728cZv\n", "nfkuFgsARCLRBzxrIYQQQgghxKfq44m2HoHP58PtdlMq9bOBfn8QwzCoVCpYLP0eXvcNerPZDKZp\n", "EotN3PnYfqYzj9/vJxaL3ev6w6brOq9eveDLL39Gq9XvhLy0tEIoFKLX0wgGQ0xMTPL06fNbNew6\n", "PDwgkTjB6XSys7MFgMViwe8PEI1GCYcjlwLbVOqUWq1KJBJ9a77vdWuuVit4vV7cbvf9nrgQQggh\n", "hBDik/ZJB70ejwefz0cqdXoWuAUBqFTKQD/beJ/yZtM0yWYz2Gx2otGxmw+4QNM09vb2sFqtLC+v\n", "3vnad6WqKt1uB13XMQwDwzAxDAPTNDFNg263ezZj9xXtdgu73cGzZ5/x9OkzAoEgu7uv6XQ6jIy4\n", "iUbH3pq/e5FpmhQKBRKJE/7kT/4Iq9XG2lp80Pk5HI5cue+21WpxfHyEw+FkeXnl1s+tVCphGIaU\n", "NgshhBBCCCHe6ZMOeqFfQgv9kTjhcASLxUatVqfZbGKz2e+V6a1WK6iqeq8xRQcH+2iayvz8Al6v\n", "987XvommaRQKecrlMrVaDV3vvfOx58F7oVDA5XKxsfGE733v5wfl2sVikUwmTaVSYXZ2jqWl5SvP\n", "YxgG2WyGZDKBqqocHu7jco3wC7/wi6ysrOFwOK5dw97eawzDYG1t5drHfp2UNgshhBBCCCFu8skH\n", "veclzo1GHb/fj8Nho9Xqd3B2uZz3yvTmcjkAxsfvVpqcyaQH82qnp2fufN3rtFotkskEhUJ+sGd2\n", "ZGSEUCiEy+XCbrdjtVoHX72ezv7+Hn6/n+npWTY2Ni7N2NU0jf39PUqlIuPj40xOTr0VpOu6TiaT\n", "5vT0FE1TsdlsOBwOJienmZ6eYX1948Z1p9Ops+7a43eas9svUy/jdrsf5cMDIYQQQgghxKfhkw96\n", "+/N63bTbbbxeHy7XCI1Gk3K5jN8foNVqoev6rTO2uq5TKhUZGRnB7w/ceh2NRp3DwwPsdsetOxPf\n", "Rn9e7hGZTH+PsdfrZXw8RjQ69s4RPp1Oh1evXmCzWZmbW2B1de2t57+3t0uz2cBqteLzBZibm790\n", "zXQ6RSqVotfTsNnszMzMEo2O8eLFV3i9PhYXl25ce6fT4eTkGLvdcavHX1Qul9F1XbK8QgghhBBC\n", "iGt98kHveaa3UCicdVr2ksvlKBbzg/24qqreuhFSsVhE1/XBCJ7b6Ha7bG9vYRgG6+sbd5rJq6oq\n", "hUKeZrNJt9vFbrfjcrkYHR3FNE12d3fRNBWPx8Pc3MKN2dJWq8WrVy9QVZXZ2blLwey509MkpVKR\n", "er1OOBxmYWERu92OpmmkUqek02l0vYfd7mBubp7JySnsdjuvXyvoeo+lpeVbPceDg/2zbs13K2uG\n", "i6XNsp9XCCGEEEII8W6ffNDrcrkIBIIkEgmsVit+f4BUKkU+n+fZs34mVFW7tw56c7ksAGNjt+sw\n", "3Ov12Np6iaqqLC4uDcbz3ERVVY6PjygU8hiGcek+0zT54os/oVwuE41G+eyz7zE/P39j9rjT6fDy\n", "5Qs0rb+WqwL3arXC8fERnU6HQCBAMBgiFApxeHhANptB1/Wz2cKLTExMDjLE5XKJfD6H3+9nYmLy\n", "xudXKBQol0sEg6Fbd2s+dzHb7vP573SsEEIIIYQQ4tvlkw96od/Mymazoqr9Ds66rpPP5wflv53O\n", "/9/enQdHnt73fX/3fTfuo3HfPwAzs4eW5FK0xSztLWpJ2ZQSJ5Jp5XCUKquSSOX/5CSuKHGlHJUi\n", "KWZUUlSM5ChxJTYdx1RZqUgWTUYqUlyJ4i539hgADwbA4AYaQAPdjW6g71/+aKB3MIMZNDDA7Czm\n", "86pC7XT373h+2KdQ+OL7PN9vnqPCzo+Vz+dJp1NEo9G6guRKpcL09BQHBwfEYl11Z4e3traOsqAl\n", "gsEgsVgX0WgDfr+ffD7P7ds/oFwu43Z7CIVCxOOb+HxeOjtjjwx8C4UCd+5UA96hoWFisa5Tn88Y\n", "Q7lcwePxUKlUcDodvP3296lUKni9Xvr7B+jo6MTpdNbOK5fLzM3dxeFwMDw8embwXSqVWFiYP6pg\n", "XX+15mMXybaLiIiIiMjz6bkIeqtLnIMUCoWjzKBNMrlXC9xyucO6rnNcJKreLO/c3N1a79l696yu\n", "ra2yuHgPl8vN8PDIiaxpLpdjZqa6TPrmzRcYGhpme3uL1dVVFhbm2dhYZ2Bg8KEWPsfZ5lwuR29v\n", "36kBb7lcZnr6DsVigVKpxNbWJh6PB4/Hg8/no7e3j7a29hPB7rHFxYXacul6ikotLd2rVbC+SH/d\n", "7e1qIbF6/z+IiIiIiMjz6zkKegMUiwUCgSBut5u9vV2gmpHM5XJ1XWdrK47T6ayrN+/i4j22t7eI\n", "RqOMjVl1Fa5aWlpkdXUFr9fLjRu3CAaDtc8ymQxTU9WgtKuruxZE9/T00tHRycrKEpubm0xPTxGN\n", "VgtPNTQ0Yts2s7OGbDZLLBY7dQ+vbdtMT08Rj29ycHDA1lYcn8/PyMgoPT19tLe3P3L8yeQem5ub\n", "hEIhenv7znzGTGafeDxOMBi8UAXrQqFAKpUkEolcKGAWEREREZHny3MR9B5XcE6n0wSDQTweL5lM\n", "pladuJ5MbyaT4eDggJaWVtzux3/bqm18VgkEAoyPT56aHX3QwsIcGxsbBAIBJidv4vf7a5/t7e1i\n", "zAyVSuXUpckej4ehoRE6OmIsLy+xu5vggw/eJxqNUiyWyGT2j7LND/fZzWT2efvtt5ifv4vX6yOf\n", "zxMKhfjsZz93aoB8v/uXNY+MnL2sufqc89i2zdDQ8IUqWG9vb50r2y4iIiIiIs+35yLodbvdNDY2\n", "sby8RCAQJBQKcXBwSDy+gd/v5/Dw7ExvvUtq9/Z2WViYx+PxMjl588yqxNUKzLNsb28RCoWYnLx5\n", "otVQPL7J/PwcDocDy5p4bLXiUCjExMQkmcw+y8vLLC7eY2VlCZ/PRygUxJgZ3G43lUqFfD5PNptl\n", "eXmRvb1dwuEIbW3tOBxgWRNnBrwA8/Nz5PN5enp66yooFY/H2d/fp7W17URP4POIxzfrzraLiIiI\n", "iIg8F0EvVItZHQd8DQ2NpNNLrK2tMTl5k4ODA0ql0iMzuLZts7Ozjcvlpqmp6ZH3ODg4wBiDw+Fg\n", "YmLiRLb2NJVKBWNm2N1NEIlEmJy8eWIMi4v3WFtbxe32MDk5WXdf4HA4wsDAINvb28RiXXR2dlEo\n", "FMnldmrHOByOWtZ0fHySwcEhVlaWiUQidS1TjsfjtWrN9QTIpVKJpaVFXC4XAwODdT3Hg5LJPQ4P\n", "D2lv7zh3iyMREREREXk+PTdB74f7ekuEw2FKpRLr66u8/PIrQLWY1aOylel0ikKh8FDV4vuVSiWm\n", "p+9QLpcYHbXODFCrhaOmSKWSNDQ0MjExWWv/U6lUuHt3lp2dbQKBABMTN861f7V6vsHtdvHDP/yX\n", "aWurZkWLxSLFYhGXy8XS0iK2bRMOh+nvH2B6egq324NlTZy57DiT2WdhYQ6Xy83Y2Hhdy5SXl5dq\n", "xavO06f4fpubmwB0dnZe6HwREREREXn+nL3Z9Jo4ruBs2zahUBjbhs3NeC0b+7glztvb2wC14PE0\n", "s7OGXC5HT0/vmX1nS6USd+68TyqVpLm5hcnJG7WAt1gs8sEH77Gzs0002sCtWy+eu2DT0tIimUyG\n", "jo7OE2P2eDwEg0FWVpbZ3t4iHA4zPDzK7Owstm0zNjZ2ZkBaKBSYnp7Ctm0syzozmw2QzWbZ3Kzu\n", "V75om6FCocDuboJQKFR3xltEREREROTaZHrffPNN3O4Q/f0Dp2Zjw+EIgUCQRCJBIBDA5XKSTO5R\n", "KpWBR7ctqlQq7Ozs4PP5HrkPdWNjnb29XRobm+jvH3jsOPP5PFNTH3BwcEB7e8eJAlDpdApjZigU\n", "CrS1tTMyMlpXEaz77e3tsr6+RiAQeKhNkm3bzM/PEY9vEg6HGR21mJmZolgsMDw8QlNT82Ovfdz6\n", "qFAoMDAweObxx46zygMDg+d+nmNra6vYtn1quyUREREREZFHuTZBr8PhYH19jXQ6xY0btx7an+t0\n", "OmlububevYWj3rP+owrO+8Cj2xbt7u5SLpceuaQ2m82yuHgPt9vD6OjYY8eYzWZrQWMs1sXQULWa\n", "sm3brK6usLKyDEB//wA9Pb3nen6oZkPv3r2L0+lkbGy8lj0+vsfc3F22tuKEw2FGRsaYmZni8PCQ\n", "7u6eE/2AT3Pcx/e49VG97YbS6RR7e7tEow0P9Q+uV7FYJB7fxOv1qmqziIiIiIicy7VZ3vzqq6/S\n", "0dFJJpOpLb99UCQSxev1UqlU97Lm8zm2t7dxOByPzPQ+rmrz8d7ZSqXCyMjoiarLD0om93j//fdq\n", "WdLjgHd/P817791meXkJr9fLzZu3LhTwAszN3a3tmw2Hw7X3j3v1bm3FiUQiR3t479QC3rMKSx1n\n", "eNPpNG1t7QwNjdQ9psXFewAMDAxc6JkA1tfXKJfLdHf3XDhTLCIiIiIiz6drk+l1Op2MjIxSKpVI\n", "JHZYWVl+qKpwJBIhEAjgdDqIRBpIp9Pcu7fAzZu3Tt3TWyqVSCb3CIVChEKhhz5fXV0hm83S2dn5\n", "2FZCq6srLC8v4XA4GBsbp62tjcPDQ9bWVonHq8WZ2ts7GBwcOrMH8KNsbW2xt7dLQ0PjiX2ztm1j\n", "zAyJxA6RSITm5pbaHwXqySjncjmmp+9wcHBAW1v7mdns+yUSCfb3qz2CL7oPt1gssrGxgcfjPTMb\n", "LSIiIiIi8qArDXoty3oD+ArgAn7HGPPLD3w+Dvwu8DLw940xv3bfZ4tAGigDRWPMp+q558jIKJnM\n", "Pmtrq7S2thEMBmufhULVYlYul4tAIIBtw9raCq+88klSqSTlcvnEkuDt7S0qlcqpWd6DgwPW1lbx\n", "er0MDAw99DlUlwTPzhp2dxN4vV7GxyewbZvp6Sn29naPimqFGBoaJhptqOfxTlUoFLh3bwGXy8XI\n", "yGjt/UqlwszMNLu7CRwOB8VikaWlRdxuD2NjY2fuyU2lkszMzFAqFU8sx66HbdssLd3D4XDU1dLo\n", "UZaWFimXS/T3DyvLKyIiIiIi53ZlQa9lWS7gN4DXgTXg+5Zl/b4xZvq+wxLAzwM/ccolbOA1Y8zu\n", "ee7rdrsZHBxmZmaKhYV5bt68VfvsOGPrdLrwer04nQ52dhLYdgWAw8ODE22L4vFNHA7HqUHv/Pwc\n", "lUqFoaGRE4HysYODg9qe2UgkSltbG/fuLbC/X91DHIlE6OrqoaWlpa6WP6cplUqUSiVmZqbY308z\n", "MDBIqVQkkylSKBT44IP32dhYx+FwEIt1kcvlaG/voL9/4LFLsaG6pPh4afLw8Mi5s6xbW3EODw/p\n", "7Ow88YeH80inU8Tjm4RCIWV5RURERETkQq4y0/spYM4YswhgWdbXgB8HakGvMWYb2LYs68cecY0L\n", "RYMtLS00NTWzt7fL9vZ2rW2Pw+GgpaUFp9OJ0+nE7XaTzWY4ODgAIJv9MOjNZPbJZrO0tLQ+FCDG\n", "45uk0ymam1tOXda8u5tgdtZQKpXw+XwUCgUWFuZxOBw0N7fQ3d19ocxupVIhkUiQSOywv5+mUCiQ\n", "SqVYWVkiFAoRCASIxzepVCosLS2SzWaIRKIMDg7T0dFOR0fs1GXa96sWw5olmdzD4/EyPj5+7rFW\n", "KhWWl5dwuVz09l4sy1upVJifnwOqQfdF/zAgIiIiIiLPt6sMeruBlfterwKvnuN8G/imZVll4KvG\n", "mN8+z82HhoZ5550kS0v3aoEuVFsXRaNRNjbWCQQC5HI5trbiNDe3cHCQrZ2/uVnda9vR0XHiusVi\n", "kcXFRVwu96nLfdfWVllaWiSVSuLxeHE4HDidTjo7O+nq6jl3z12oLhWOxzdZXl6mWCwA4PP5iESi\n", "xOObtLa2MTFxg0AgUAsWQ6EQAwNDvPjiS0QikTPuUJVIJJibu0upVKSxsYnR0bEzM8KnWV9fo1Ao\n", "0NPTe6HzoVqU6+DggFisS315RURERETkwq4y6H24fPL5/CVjzIZlWW3Av7Esa8YY853HndDWdn9w\n", "F6FQGGVlZYVCIU1vb7Vgk213sbzcRjy+SiIR5PDwkExmj/7+Lvx+B21tEcrlMqVSls7OZkZH+05k\n", "GWdmZgiHPYyOjtLd3frhw9o2s7OzxOPLJJNbtLW1EQ6H6erqoq+v78LBXy6XY2pqinQ6TTTqo7t7\n", "iI6ODkKhEFNTU7hcQ4yMjNDT04Nt29y5c4fu7jZaWsa5ceNGXftgi8Uic3NzxONxolEfIyM36Oq6\n", "WD/cYrGIMbu0tTXw0ksTFyrMNT8/T7GYoa+vk5deeuG53Mt7ci6LfDxpHst1obks14HmsTzPrjLo\n", "XQPuLw3cSzXbWxdjzMbRf7cty/o9qsulHxuA8JcbAAAdKElEQVT0bm/vn3gdDDaTySxw+/Y0LlcI\n", "j8dDLgflsotiERwOD7ncPvfurdDSEiOft4nFqkWwEol9+vsH2NnJ1K6XTO4xM7NAOBzG44nU7nfc\n", "Emhu7i57ewl6evqIRFoZHBzC5/ORSuWBfL2PXpNKJZmenqZcLtHa2sbg4BBer5eDgwqrq4vMzi4S\n", "iUTweqNsbaWZnTXs7GzT0NBIe3sfiUT2zHtsb2+zsDBPqVQkEokwODiGxxN86HtZr3v3FtjZSTM4\n", "OMTe3ultoB6lWCwyPz9HIrFDIBCgs3Ogrme4btraIhf+/os8KzSP5brQXJbrQPNYrouL/vHmKoPe\n", "t4BRy7IGgHXgp4AvP+LYExs2LcsKAi5jzL5lWSHg88A/OO8A3G43fX19LCzMs7KyxNDQCIFAgFAo\n", "jN/vw+l04vW6SSR2yOfzFAoF8vk8a2truFyuE8WTKpVKbV/ug3tMZ2cNd+68TzabZWhohLExq7aP\n", "+KISiQSzszNAtSJ1R0dn7bNyucz8/NxRm6YxHA4H8/N32dnZJhqNMjExeWZ2NJ/PMz8/x97eLi6X\n", "i8HBIWKxrifaO5vL5djc3MDn89HZGcO2bXK5HPl8jnK5WizM5XLicrlwOl24XC7K5TL5fI5kMsnW\n", "1hblcolotIHx8Qk8Hs+FxyIiIiIiIgJXGPQaY0qWZf0c8EdUWxb9Y2PMtGVZP3v0+Vcty+oEvg9E\n", "gYplWX8XmATaga9blnU8xv/TGPONi4yjszPGxsY6m5ubdHZ2EQwGiUQiNDQ0HgVgbkqlEru71T62\n", "S0v3KBYLdHf3nFiau7KyzOHhIbFY14kKzwsLc7WAd2Jikhs3bl1o3+799vZ2MWYap9PJ+PgEjY1N\n", "Jz5fWrpHoVCgt7ePYDDIysoym5vVKseTkzdPrSZ9v83NDRYXq62AGhoaGRkZxe/3P9GYofo9KpfL\n", "NDU1Y8xMrQ1UvTweL/39w3R2xlS4SkRERERELsWV9uk1xvwh8IcPvPfV+/69yckl0McywEuXMQaH\n", "w0F//yAzM1MsLS0yMTFJOBymubkZj8dLpVLG4/Gwv79PIrHD4eEhjY2NdHV1166RSiVZW1vF5/PR\n", "3z9Qe399fY13332XdDrN5OQNbt16EZ/P90Tj3d9PY8wMTqeTGzduPlTEKZ1OsbGxQTAYpKenl3g8\n", "zvLyEj6f78yA9/DwkLm5u6TTKVwuNyMjYw8V6rqoTCbD7KwhlUrWAtZAIEAkEsXv99fGValUKJfL\n", "tS+n04HP5yccDtPQ0KhgV0RERERELtWVBr3PipaWFqLRBnZ3EyQSCcLhCJFIFJ/Ph8PhwrarAeHC\n", "wgKxWAzLGq8VnioWi8zOGgAsa7wWvKVSSb7//e+RSCS4ceMGL7748hMHvAcHB0xNTVGpVBgfn3go\n", "4K1UKszN3cXhcDAyMko6nWJ+/i5ut4fJyZuPLJZl2zZra6usrCxTqVRoaWllaGj4wsW1HpTL5fjW\n", "t/4Nm5vrDA4OE4vFall1ERERERGRj9JzEfRCtdfru+++w/z8HJOTN/B4PITDIVwuJ7ZdLTS9vR3H\n", "tsv09VV7y5ZKJaan71AoFOjvH6gFoblcjj/90++wubnJ+PgEL7/8yhMHvIVCgampDyiVioyMjNLc\n", "/HD/39XVlaMl1jFcLjd37tzB4XAwMTHxyAAzk9lnbu4u2WwWj8fL6Ogwra2tpx57EYlEgnfe+QGb\n", "m+t0dfXw2c++dilLpUVERERERC7DcxP0BoNBBgYGWViYZ37+Ln6/n8bGRrxeD4VCnq2tLVwuJ263\n", "mzt3PqCtrY2NjXVyuRzt7R309FRXYVcqFb773e+wurrMwMAgn/rUp584yCuVSkxNfUA+n6evr/9E\n", "0apj2WyWtbVVvF4v3d29fPDBe5TLJcbGxolGGx46vlKpsLy8xPr6GrZt09HRycDA4IVaCD3K8vLS\n", "0X7idbq7e3nttc8p4BURERERkWfKcxP0AsRiXWSzWeLxTZLJPSKRKLlctXJwd3c3o6PjhEJBVlaW\n", "yGT2cTgcdHf3nNjH+73v/Tlzc7O0t3fwIz/y2hMXrapUKkxPT5HNZonFYvT29j10jG3bzM/fpVKp\n", "MDQ0zPz8HLlcju7unlOrRKdSSebm7pLL5fD7/QwPjzxUDOtJxzw3d5ft7S1yuWpxr56e3hMFvkRE\n", "RERERJ4Fz1XQC9Vlzi6Xi0xmn1QqRbFYIpvNEo020t7ejsPhJBbrore3n2g0eiJz+f777/Lee7eJ\n", "RKK8/vqPPvGeVdu2MWaGdDpFS0srg4PDpx63sbHO/v4+ra1tZDIZ9vZ2aWxsOhGMQ7WV0eLiApub\n", "mzgcDrq6uunvHzizfdF5FItFZmamSKfTRCIR3G435fKHS8JFRERERESeJc9d0OtwOBgcHKK1tY18\n", "vsDAwCClUhGwcTqdpNMpstks7e3tJ86bnr7Dm29+F5/PxxtvfJFI5MmzmnNzd9ndTdDQ0MjYmHVq\n", "5eKDgwOWlhZxuz00N7dw967B7/djWeMnjs9k9pmdNRweHhIMBhkdHbv0zGsul2Nq6gMODw9pa2sn\n", "FAqxuHiPWCz2xBlvERERERGRq/DcBb3HIpEIw8MjJJNJ4vFNdnZ28Hq9BAJB5uZmmZi4QVtb21Fm\n", "c5o///M38Xq9fOELP3ZqkanzWliYZ2srTiQSYWJi8tRsrG3b3L1rjpY1j7C4uADA2JhV25tr2zar\n", "qyusrCxj2/aVZHehGlRPTU3Vehj39PTy9ttv4XK56e1VlldERERERJ5Nz23QC9DU1ERLSwvhcIRk\n", "co+NjXVu3XqB999/j+9+99v09w+QTCZZWJjH6/XyV/7K66cWmTqP6v7cOeLxTYLB4GN76y4vL5HJ\n", "ZGhv72Bvb5dCoUBfX3+tivRxO6Vkcg+v18vYmEVDQ+MTje80u7sJZmerwffw8AidnTEWF+9RKhXp\n", "7x/A4/Fc+j1FREREREQuw3Md9DY3txCJRAiHQ6TTaXZ2dsjni/T3D5JOp9jdTbC5uUlbWxuvvPJJ\n", "urt7nuh+pVKJu3dn2d1NEA6HmZy8+chqyqlUkrW1VXw+H+FwmIWFeaLRaK2KdCazz8zMNPl8nqam\n", "5hPZ38u0urrC8vISTqeT8fEJmptbyOVybGys4/P56OrqvvR7ioiIiIiIXJbnOuj1+/00NDQQCoWJ\n", "RqMUCgUWF+dpaGjk8PAA225mcHCIoaFhOjtjT3SvTCaDMdPkcjkaGhqZmJh8ZIa3UChgjAGgv7+f\n", "+fl5XC43o6PVfb/x+CYLC/PYtk1fX/+pFZ+f1P0ButfrZWJisrZHeGlpkUqlQl/f5S+jFhERERER\n", "uUzPddAL0NLSSnNzC1tbcaLRCD6fH5fLRT5foFgs8sILLz5RQahyuczKynKtX+5xC6TTilZBtR2Q\n", "MdMUi9UiWxsbG5TLZcbGxvF6vczN3SUe38Tt9jA2NkZTU/OFx/YoyeRerS1SQ0MjljVeW8KcTO6x\n", "s7NNJBJ5qNiXiIiIiIjIs+a5D3rb2trp6Ojgzp33KZXKtUrKfX39HB4e4nZfbL9qsVgkHt9kbW2N\n", "UqlYd7/cu3dnSafTtLW1UyqV2N/fp62tnWg0yvvvv0smkyEUCjE+PnmindJlKBaLLC0tEo9XWx71\n", "9PTS19dfC9ArlQrz83M4HA6GhkYu9d4iIiIiIiJX4bkPen0+H/39g/h8PpLJJLlcjkRih76+Ae7d\n", "m2dhYZ7JyRt1Xcu2bZLJPba2ttjdTVCpVHC53PT19dPd3XPmUuCFhTl2draJRhtob29nauoOfr+f\n", "5uYWbt9+h1KpSHt7B8PDI5e6rLhUKrGxsc7a2hrlcolQKMTIyBjhcPjEcaurK+RyObq6uh/6TERE\n", "RERE5Fn03Ae9AN3d3XR2xpiZqfa5LZfLlEpFGhoa2dvbZW1t9ZFFrCqVCsnkHolEgkQiQblcAiAY\n", "DNLR0Ul7e8eZBaZs22Zu7i5bW3FCoRCjo2N88MF7AIRCIWZnZ3A4HLXKyZfBtm1SqSQ7Ozvs7GxT\n", "Lpdxuz0MDg4Ri3U9tPz68PCQtbVVvF4vfX1qUSQiIiIiIh8PCnqpVnEeHBxiZmaaRGKb7u4u1tfX\n", "uHHjFjMzUywu3uPw8JDOzk48Hi/FYpFsNkMqlWJ3d7cW6Hq9Xtrbu2hra6u1FTpLPp9ndtaQTqeI\n", "RCJMTt5kfn6OTCZDpVImkUjg8/kYH5944r3Fh4cH7O/vs7+/z97eHqVSEahmu3t7++jsjJ1aXOv+\n", "fsGDg8OPLMAlIiIiIiLyrFHQe+QTn3iVb3/7T1hYmOfTn/4MpVKJ1dUVbt58AWOmicc3icc3HzrP\n", "5/PR0dFBa2tr3YEuVAPJeHyTpaUlSqUiLS2tjI6OkUgkmJubJZ1O0dvbT2NjE2Nj1pm9cEulErnc\n", "IblcnkIhTy6XI5/Pk8/nyOcLtQD3mNfrJRaL0dLSSjTa8MjCWgArK8u1vcWtra11P6OIiIiIiMhH\n", "TUHvka6uLkZHx/izP3uThYUFbt26xe5uAr/fz4svvkwikSCV2qNcruB2uwgEgkSjDYRCobrvUalU\n", "yGYz7O7usr29RT6fx+VyMTQ0TCzWxc7ODt/61jfIZDKMjY0zMjJ66nLmcrnM/n6aVCpFOp3m8PCQ\n", "YrFw6j1dLlet128g4CcUihCNRgkEAnWNOZ1Osbq6gs/nY2houO5nFREREREReRYo6L3P5z73V7l9\n", "+x3efvsvePXVH6ZQKLC+vsbh4SG9vb0MDY3UMqLFYpF8Ps/ubuIoo5qnVCpRqVROfNm2jW1XKBQK\n", "FAoFbNsGqsFoLBajq6uHbDbLnTvv89Zbf0Eul+PGjRf4xCc++VB15nQ6xebmJru7CcrlMgAOh+Mo\n", "qG3G7/fj9/vx+fz4fF58Pv+ZGeLHyefzzMzMADA2Zp25N1lERERERORZoyjmPqOjFpOTN3j77bf4\n", "9rf/mB/90S+QSCTY29tlb28Xh8OB0+miUMhxcHDI4eEhudwh+XyecrlEuVzBtis4HE6cTiculxOX\n", "y43H48Hv9xMMBgmFwoRCYYLBINlslnfeeZtKpcL6+hpOp4tPferTvPzyKyfGlU6nWFpaJJ1OA+D3\n", "++nsjNHQ0EAkEr2SYLRcLtf6BQ8NDRONNlz6PURERERERK6agt77OBwOPvvZz7G8vIQxM/T09NDU\n", "1IzX6yWZTJLNZshmM5TLFTweD263m2AwSFNTC6FQAJ8vgNtdLfJk2zblcoVyuZr9vd/BQZaDgywO\n", "h4NQKES5XKG5uYXm5mZefPHl2nGFQoHFxXtsb28B0NTUTHd3Nw0NjVf6fbBtm5mZafb392lv7yAW\n", "67rS+4mIiIiIiFwVBb0PuHHjJsPDIywsLJBKpQiHI5TLZYLBIMFgkN7evlqmNhyuZm19Pt9jr1ku\n", "lykWi5RKRcrlMk6nE7fbg8/n4+Agy/vvv0coFMayJmr9d7e2tlhYmKdcLhEOhxkaGj5XoayLqlQq\n", "GDNDMrlHU1MzIyOjV35PERERERGRq6Kg9wFut5vPfOZH2NzcZHl5mdde+6tEItVWQS6X60Ltej48\n", "7+Qe3Vwux/T0FLZtMz5uEQwGKZVKzM/PsbOzjcvlZmRklI6Ozst4tDOVSiWmp6dIp1M0NDQyPj7x\n", "2KrOIiIiIiIizzrnRz2AZ9GtWy8wNmYRj2/yzW9+A9u28Xq9l9qfNp/P88EH71EoFBgYGKSpqZlU\n", "Ksnt2z9gZ2ebaDTKSy+9/NQC3kwmw7vvvkM6naKlpZXJyRu1rLOIiIiIiMjHlTK9p3A4HLzxxhfZ\n", "2opz+/YPiERCvP76G3i93ku5/sHBAdPTd8jn8/T19dPZGWNx8R7r62sA9PX109PT+1SyrJVKhdXV\n", "FdbWVqlUKnR399DfP6AMr4iIiIiIXAsKeh+hubmFn/iJv8HXvvZP+c53vsPeXpLPf/4LtLW1PdF1\n", "d3cTzM7OUi6X6O3to6mpiXfffYeDgwP8fj9jY9ZT27u7vb3F6uoKuVwOr9fLyMgoTU3NV35vERER\n", "ERGRp0VB72MMDAzy5S//NF//+r/g/fff5d69BV588WVefvkVurq6zrX8N5fLsbS0yM7ONk6nk8HB\n", "IXK5HO+99y62bROLxejvH7zUJdQPsm2b/f00Ozs77OzsUCwWcDqddHV109fXf6X3FhERERER+Sg4\n", "bNv+qMdwWezt7f0ruXAmk+FP/uRb/OAHb3NwkMXn89Hc3Exv7wBdXV00NzfT3NxKKBSqFa2qVCrk\n", "83my2Qy7u9U+v7Zt4/F4CYVC7O/vUy6X8Pv9DA+P0NjYdCljLZfLFAoFSqUixWL1K5vN1r7K5RIA\n", "breH9vZ2urt7Lm3ZtlyOtrYIVzWXRZ4WzWO5LjSX5TrQPJbroq0tcqE9mMr01iEcDvPX/tqP8+lP\n", "/yVu3/4B09NT7O4m2Nj4c/x+P6FQiGAwiM8XIBDw4/X6cLtdeDweoBqIut1uAoEAAMlkAa/XS1/f\n", "ELFYV937ZyuVylGP30Py+RyFQp5cLk+pVDwKdB/uCXzM4XDg9/tpbGyjsbGJpqZm7dsVEREREZFr\n", "T0HvObS2tvL665/ns599jURih5WVFZaWFslk9o8yqfsUiwWCwSBer5dSqZrJjUQi+Hx+XC4XDQ2N\n", "tLS00tbWdmbQWSqVSKVSpFJ7pFIpDg8POS0z73K5cLvdhEIh3G4PHs+HX263h2AwQDAY0vJlERER\n", "ERF57ijovQCv10ss1kUs1sWLL75EIrFDIpFgfz9NqVSiUCjg8/mIRhtoamomHA7h9wcIBAKPDXQr\n", "lQr7+2mSySSpVJJMJlMLcl0uF5FIhFAofJRV9uHz+fH5fApmRUREREREHkFB7xPy+Xx0dXXT1dVN\n", "oVBgb2+XnZ2do6B1n0xmn0AgQCQSJRgMEggEcLur3/ZyuUw+n+fg4IBsNksms19bnuxwOIhEIjQ0\n", "NNLY2EgkEtVyZBERERERkXNS0HuJvF4vHR2ddHR0UiqV2N3dJZGoBsBbW/HHnutwOAgGgzQ0NNLQ\n", "0EBDQ6MyuCIiIiIiIk9IQe8VcbvdtLe3097ejm3bHB4ecnBwQD6fo1SqVlB2Op34fH6CwQB+/4cZ\n", "YBEREREREbkcirKeguMsbjAY/KiHIiIiIiIi8lxxftQDEBEREREREbkqCnpFRERERETk2lLQKyIi\n", "IiIiItfWle7ptSzrDeArgAv4HWPMLz/w+Tjwu8DLwN83xvxaveeKiIiIiIiInOXKMr2WZbmA3wDe\n", "ACaBL1uWNfHAYQng54FfvcC5IiIiIiIiIo91lcubPwXMGWMWjTFF4GvAj99/gDFm2xjzFlA877ki\n", "IiIiIiIiZ7nKoLcbWLnv9erRe1d9roiIiIiIiAhwtUGv/RGdKyIiIiIiIgJcbSGrNaD3vte9VDO2\n", "V3Wuo60tUv/oRJ5hmstyHWgey3WhuSzXgeaxPM+uMuh9Cxi1LGsAWAd+CvjyI451PMG5IiIiIiIi\n", "Iqdy2PbVrSS2LOsLfNh26B8bY37JsqyfBTDGfNWyrE7g+0AUqAD7wKQxJnPauVc2UBEREREREbmW\n", "rjToFREREREREfkoXWUhKxEREREREZGPlIJeERERERERubYU9IqIiIiIiMi1dZXVm6+EZVlv8GGB\n", "q98xxvzyKcf8OvAF4AD428aYd57uKEXOdtZctizrp4FfoFrdfB/4T40x7z31gYo8Rj0/k4+O+yTw\n", "Z8BPGmO+/hSHKFKXOn+/eA34R4AH2DHGvPY0xyhyljp+t2gF/g+gk2oc8KvGmP/taY9T5HEsy/pf\n", "gR8Dtowxtx5xzLnivY9VpteyLBfwG8AbwCTwZcuyJh445ovAiDFmFPg7wG899YGKnKGeuQwsAJ81\n", "xrwA/HfA//J0RynyeHXO4+Pjfhn41zzcok7kI1fn7xeNwG8Cf90YcxP4d5/6QEUeo86fyT8HvGOM\n", "eQl4Dfg1y7I+dkkwufZ+l+o8PtVF4r2PVdALfAqYM8YsGmOKwNeAH3/gmC8B/zuAMeZ7QKNlWR1P\n", "d5giZzpzLhtj/swYkzp6+T2g5ymPUeQs9fxMBvh54P8Gtp/m4ETOoZ65/LeAf2mMWQUwxuw85TGK\n", "nKWeebxBtVUoR/9NGGNKT3GMImcyxnwH2HvMIeeO9z5uQW83sHLf69Wj9846RsGCPGvqmcv3+0+A\n", "P7jSEYmc35nz2LKsbqq/dB3/FVZ98uRZVM/P5FGg2bKsP7Ys6y3Lsv6DpzY6kfrUM49/G7hhWdY6\n", "8C7wd5/S2EQu07njvY9b0FvvL0sPLp/TL1nyrKl7TlqW9TngZ4C/d3XDEbmQeubxV4D/whhjU/3Z\n", "rOXN8iyqZy57gB8Cvgj8KPBfW5Y1eqWjEjmfeubxfwXcNsZ0AS8Bv2lZVuRqhyVyJc4V733cgt41\n", "oPe+171UI/vHHdNz9J7Is6SeuYxlWS9Q/avsl4wxj1vmIfJRqGcevwJ8zbKse8DfAP5ny7K+9JTG\n", "J1KveubyCvANY8yhMSYBfBt48SmNT6Qe9czjzwD/AsAYMw/cA6ynMjqRy3PueO/jtnH9LWDUsqwB\n", "YB34KeDLDxzz+1Q36X/NsqxPA0ljTPypjlLkbGfOZcuy+oCvA/++MWbuqY9Q5GxnzmNjzNDxvy3L\n", "+l3g/zHG/P7THKRIHer5/eJfAb9xVCzIB7wK/I9Pc5AiZ6hnHs8ArwPfPdoDaVEtnCnycXLueO9j\n", "lek92mj/c8AfAVPAPzfGTFuW9bOWZf3s0TF/ACxYljUHfBX4zz6yAYs8Qj1zGfhFoAn4Lcuy3rEs\n", "6y8+ouGKnKrOeSzyzKvz94sZqhXI36NaXPC3jTFTH9WYRR5U58/k/x74hGVZ7wLfBH7BGLP70YxY\n", "5HSWZf0z4M3qP60Vy7J+5knjPYdta7uriIiIiIiIXE8fq0yviIiIiIiIyHko6BUREREREZFrS0Gv\n", "iIiIiIiIXFsKekVEREREROTaUtArIiIiIiIi15aCXhEREREREbm2FPSKiIiIiIjIteX+qAcgIiJy\n", "XViW9d8C/9AYUzx6/Q+AO8aY/+uK7ve3ga8AHxhj/vLRe78K/DvAAHDTGDNVx3U+A/zmfW+1A5vG\n", "mFcsy/ICfwEMA3/TGPP/XupDiIiIXDEFvSIiIpfnF4FfAYoAxpj/5orvZwPfMMb85H3v/R7VQPg7\n", "9V7EGPMm8PLxa8uyfu/4fGNMAXjJsqw/PrqfiIjIx4qCXhERkUtgWdZxpvRNy7LKwOeA/wn4vjHm\n", "N4+ywONABBgD3gH+B6pBci/wdWPMLxxdKwb8OtAHBIB/Zoz5pVNu6zj6qjHGfPfoGqeN8VXgl4Do\n", "0Vu/aIz5gweOaQc+D/ydczy+iIjIM0t7ekVERC6BMeY/P/rnDxtjfsgYk6KaGb0/O/pDwN8ELKqB\n", "7z+kGmC+APxHlmUNHx33T4BfN8a8CnwC+KJlWa8/yfgsy2oEfgv4W8aYTwB/HfiqZVkNDxz6HwJ/\n", "ZIzZfpL7iYiIPCuU6RUREXl6/rUxZh/Asqz3gNtH+3+LlmUZYNiyrE3gNaD1vmxtmGqW+JtPcO/P\n", "AIPAH9533QrVvbo/uO+4/xj4e09wHxERkWeKgl4REZGnwwby970un/LaTXUVVgX4hDGmfMljeM8Y\n", "82896kPLsj4NNAF/8KhjREREPm60vFlEROTy7AOND7zneOC/j3WUCf4O8F8ev2dZVq9lWR0XGM/9\n", "93wTGLUs67X7rvvJB47/GeCfGGMqF7iXiIjIM0mZXhERkcvza8D/Z1nWAdVCVvDhnt4H9/dyyutj\n", "Pw38o6Ml0ABpqgFp/KwBWJb168C/DXQA37Qsa8cYc8sYk7Qs60vAr1iW9RXAC8xblvUlY4xtWVYA\n", "+EngU3U9qYiIyMeEw7bVfUBEROTj6KhP748ZY/69p3CvPwZ+5cFqzyIiIs86LW8WERH5+DoAPmFZ\n", "1p9e1Q0sy/JYlnWbahGs3FXdR0RE5Koo0ysiIiIiIiLXljK9IiIiIiIicm0p6BUREREREZFrS0Gv\n", "iIiIiIiIXFsKekVEREREROTaUtArIiIiIiIi19b/D/p0GlYwK8FcAAAAAElFTkSuQmCC\n" ], "text/plain": [ "<matplotlib.figure.Figure at 0x7f1f4c171ad0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16,5))\n", "\n", "time = linspace(0,epochs*epoch_length,epochs+1)/1e7\n", "TT = len(time)\n", "\n", "for n in xrange(N):\n", " plot(time,gfilter([mean(abs(r_vals[t][:,n])) for t in xrange(TT)],10),c='black',alpha=0.25)\n", " \n", "title('Evolution of mean firing rates over learning')\n", "xlabel('time [1e7]')\n", "ylabel('rel. firing rate')\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected the firing rates goes up over learning as the network learns to keep track of ever more inputs. Next we look at the evolution of the mean synaptic weights over training." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA7YAAAFUCAYAAAAQ6aA4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XeYFFXWx/HvgOTMMOQseFcxICZ2FxVFzFnXFyUJGFAx\n", "YELBuCqogIsBEwgYQFdQXBMqgqCICUXBdEQykoac4/T7R1UPPcOEnmF6qrvn93keH6nQVaeqq+/c\n", "U3Xr3pRQKISIiIiIiIhIoioVdAAiIiIiIiIiB0KJrYiIiIiIiCQ0JbYiIiIiIiKS0JTYioiIiIiI\n", "SEJTYisiIiIiIiIJTYmtiIiIiIiIJDQltjlwzj3gnHu1mPd5pXPui+LcZ7xzzo12zq1zzn2dy/KH\n", "nXPpzrnlRbzfps65DOdcKX+6jnPuc+fcJufc4KLcV1Fzzi1yznWI4fY7O+c+jnJdXdNxRmVbfAiq\n", "bJMD55zb7JxrGuW6Gc655jEOSSKojIsP+ZVxeXxOv5k4k2hl3kFB7jyWnHOLgF5mNqUQH4+rwX39\n", "C2oBcJCZZWRb1h24EWgJbALGAf3NbG9xx1mUnHMnAqcB9c1sRw7LGwO3Ao3MbG2Mw7kGWG1mVWO8\n", "n6IQIobXr5mNBcYWxbacc9OAV83spaLYXkmhsk1lW5T7aY/3+2pU2G0kEv930dPMpsZyP2ZWpSi2\n", "45y7Eu93fGJRbC+ZqIxL7jJOiobKvJwl8xPbmFbw40gF4GYgFTgB6ADcHuudOudifVOkCbAoj0Kx\n", "MbC2GJLacCy/FeaDsTpPxXD+i0NJ+H3Ggsq2GCphZVsW4VYqxbCf0jHYdwhIOcBtSHxQGRdDcVDG\n", "xQ2VecknGSrH+fLvElwFfAX0AjYA15vZR/7yZsAY4Gjga8AiPtuebHe9I+8m+hdrP6AnUBv4A7jQ\n", "zJY55/4GPA20AdKBe81svL+NVGA0cDLwO/BJYY7NzJ6PmFzunBsLnJLHucgArgNuA9KAsWbWx1+W\n", "AgzAO1cVgI+AG81sU8Rdx6uA+4FFzrlReE8zvwF6AGuBboADHgTKAXeY2Su5xFIfeB74J7AOeMzM\n", "RjrnegHPAGWcc5uBIWb2YMTnTgPeBcr5y8ebWU/nXFvgCeBQYDFws5lN9z9TzV92FpCBd+7vN7Nw\n", "k+PHge54d02f8HeV4pwbA1wBhJxztwAXADP89f/lr/cm0M/MdvnXy2vAU0BfYLL/BOYpM3vbOfdP\n", "4AvgXDP70G82PMTMjnbOHQyMAI7EK7A+Bm4ws43+MSwCngW6AC2dc5X92B4GKkXEndO5bgb8YGY1\n", "/OkRwPlmVseffhWYZWZP5nOuriTijptz7nS8a7wO3pPcw4FXIp/C+s23s/zunHOPACcCbZ1zw4DR\n", "ZnaTc+4//jGV97/Dy83sl9yOq6RT2ZblXCRz2TYeaOfH/hNwnZn96n/mbGAw0Ih95dfzwCSgrL+d\n", "EHCIma3MFucYYDteRfQk4Hzn3O943+2JwBbgP2b2tL9+KeAusl4TFwBlyPZUKrJFhn+dXu2fz27A\n", "c865hsCOAuz7AeAwP96LgCVAdzP73i+/GgPvOef2Ag+a2ZBsxzodeDK/cthftydeglEX+Ba4xsyW\n", "+MsygBZmtsC/1sf48RvetX5yticSHZ1zWa5J59yhwHMR18FuM6uZw3f5HzMbSgmmMi7LuUj4Ms7/\n", "bAvgJeAoYDcwxcw65bCPanjfwZnANrz60UAzCznnFgMXmdkPzrnOwKtAKzP7zY/hXDO7KIdtjkFl\n", "XlKXecn8xDa74/EKoFS8pCSy+eM44Dt/2UN4CU5edwsj7ybeCnQCzvKbqvYAtjnnKgGT8ZKcNH+d\n", "Z/0vF2A43g+1Lt4Ppkc++4zWycDP+axzDnAsXgJ1mXPuDH9+D7xjbw80ByrjFVCRTgL+BpyBd6fo\n", "eLyKVk3gdbwkrw1wMF4C9oxzrmIucbyB90OtB1wKDHTOneInRb2Br8ysSvZC0cw+xUu6lvvLezrn\n", "GgDvA//2k7fbgbf8HyF4P8RdflxHA6fjFfLgFe7nAK3983Ip/ndsZlfiJWyP+fuaCtzjH/dR/n/H\n", "+/PC6gA18Aqda4Dp/jkF7/tZ4J/H8PS0iM8+4p+PQ/F+6A9kO2ed/GOvjvcH6FmgM1Af7/ptSA7M\n", "bCGwyTl3tD/rJGCz/8c7PB2OI69zlck5VwsYj1cxqIlXyP2drNfxCeTwuzOzAXiF7A3+eb3Jvw5P\n", "BFqaWTW8GwfF/tQqAals2yfpyjZ/0QdAC7zz/QNZXwd4Ca8SUhVoBXxmZtvwKoPh7VTNntRGuBx4\n", "yMwq4yUP7wGz8cqUDsAt/g0s8CrU2a+J7blsN/tTt+OB+XiVw0fwznFB9g1wHt53UQ3vBsAz/nnr\n", "ine+z/WPN0sFzzeNKMph59wFwN14FclaeOXU67kc43BgM16Z3x2vApv9Wt/vmjSz38h6HdT0183+\n", "Xca0iWECURm3T0KXcb6HgI/MrDrQAO9BQE6eBqoAzfDOTTf/OGH/3/N8///h6Wm5bBNU5oWnp0Hy\n", "lXklKbFdbGYvmVkIeAWo55yr7T9NOxbvbtxuM/sC70KL1lXAADObB2Bmc81sHXAusNDMXjazDDP7\n", "EXgb+Jd/l/Bi4D4z2+4/kXqZA2xS4N9xaQPkdIFHetTMNpnZUuAzvOQMvARpqJktMrOteBd6J5e1\n", "ucQDfszhJibhYwzhFYr18ZLL3WY2GS9BapFDrI2Af+A/6TSzn4CReD8SyP9cZF/eBfgwfBfXryDO\n", "As5xztXBqyz29WNPB4bhFVYAl+HdJfrLzNYDA3PYfuT0Ff4xrjGzNXh3N7tGLM/Ae8K52z9P09lX\n", "4J4IDCJrATzdj3m+mU3xP7cG+E/EeuAVHk/5ce7E+2PynpnNMLNdwL3+vnMzHWjvnKvrb2sCcLJ/\n", "x7uqmf0UxbmKdDbws5m941/jTwHZK885/u4ilkee1114f8QOdc6VMk9ulXHZR2XbPslYtmFmY8xs\n", "q5ntxitvjnLOhd972gW0cs5VNbONZjY7yv2AVw68Y2Zf+dNHArXM7GEz22PeDbGR7Pv953ZNRGO5\n", "mQ33r5kdhdg3wBdm9pH/nbzGvu83GlGVw3iVr0F++ZPhr9fa/14zRVzr95vZDr/iltO1nv2abO3P\n", "z+n7ye27LOlUxu2TDGXcLqCpc66B//mZOeyjNPB/wN1+2bcYGMq+ulbk77kdWX/PJ7Hv95ydyjxP\n", "0pZ5JaIpsi+zgmxm25xz4N3Rqg2sN7PIOzCL8Z6WRaMh3h2Z7JoAJzjn1kfMOwivUK7l/3tpxLIl\n", "Ue4vR865C/ESsg5R/Ogik4VteOcBvDtvi7PFdBDenZmwyJgBVkX8ezuAnwxFzqvM/uoD6/wCOHJ/\n", "x+YTe26a4P3ROS9i3kF4d38a4zUbWeF/7+Dd1Amf83oU7Luoz/7nqX7EdLp5iWbY18AhfkLXGjgf\n", "eNB/mnwc8Dl4vS8DT+IV0lX8GLN/l5Fx1gOWhSf86zqvJ5zT/X0v8/c5He+PxI5wDHjnMa9zFal+\n", "5P592adz+92t9meHIpZ/5px7Bu+OYBPn3NvA7Wa2OY9jEpVtkZKubPMrpgPxbmSl4d28CuGd683A\n", "JXgtRh51zs0B7jKzgvREGvmbbQLUz/bdlmZf+ZDbNRGN7Oe3oPuGrN/JNqC8fxMsrxt6YVGVw34c\n", "TzrnsjeHa5DtGNLY/1rPXv7B/tdkpTxiPNDvMlmpjNsnGcq4O/Ge2n7rn+OhZjY62zq18Ooi2Y+p\n", "gf/vz4Eh/o360nitxx5wzjUBqvk3I3KjMi+Jy7ySlNjmZgVQwzlX0bzmW+B9yeFe6bYCmU0x/DsW\n", "aRGfX4p3R+vXbNtdAkw3s9OzzQ9vYw9ewhV+H6RxYQ/AOXcm8CJwth3Y+4jLgaYR043x4lwVEV9R\n", "deiwHKjpnKtsZlsi9pfTjyQaS/Debbgm+wLnXD1gJ5CaS2GwgqznP7/vInyewh1KNfbnhWU5R/4f\n", "4u+BW4C5ZrbbOTcTr4nLnxF/yAbiXXeHm9kG/4/d09n2HbntFXhNlsPHWRGvOVZupuO9y7AMrwnK\n", "DLx3ZMJPlcG7nvM6V5GW4zWTCe8/hVyaQudiv2vJvHdLnnbOpeHdQb4DuK8A25R9VLbtk8hlW2e8\n", "CkkHM1vsnKuOd8MrBcDMZgEX+uf+RrzfTWOiP57I9ZbgPcU5JJd1c7smwhXcinjviYHXTDO3/RRm\n", "3/kdT57LC1AOL8FrKphbU7ywdLxrqBEwz59XkB6ocyr/cvsuJWcq4/ZJmDLOzFbhvaaF8979/NQ5\n", "N93MFkSstgbv/dumZK1rLfO38adzbhve72S6mW12zq30t5vf0Esq85K4zCvxia1fUZiFdxejP947\n", "gecC//NX+QPvDsnZeO9c9Md7qT5sJPCQc+5XvLs6R+D98N7HuwPRBfivv25rYLOZ/e4/jXrAb37S\n", "DK+teuSPOiflnfcSd9hOvI4GxgIX+BdIQaWwr3nA60A/59wkvEJlIPCGeZ0GFWLTuTOzpf4PbJBz\n", "7na890V74jXzLYzXgO/8dxOm4N3pawvMM7O/nHOfAE845+7FK5CaAQ3M7HO8H9JNzrn38e4u3ZVt\n", "29mbT7wO3OOc+86fvg+v44K8TAf64L0fBF5i+SheM46wysBGvHdhG+AldXmZAHzj/2H4Dvg3ebxe\n", "4P8h2IHXbHug/4dgNd4ds+H+OivyOVeRPsR7B+cCvHcAe7N/wZ6XVXjv8gDgnDsW727lD3jfww72\n", "VVCkgFS2JU3ZVhnvfKxz3rt/A8MLnHNl8F6leN/MNjqvU47wb2YVkOo38dqUy7azl23f4r17fyfe\n", "TbVdeDfPyvvfQY7XhJmlO+f+Aro6517E+84PJm8F3Xd+zRvD5Ule72hFUw4/j3eMP5nZr87rwOZ0\n", "8zsOCjOzvRHX+lV4CVVXsj5hyi7ymlwFNHTOlfErnHl9l5IDlXGJWcY55/6F967lMrzOwEJke43K\n", "/329CTzinOuGd9O+L97N+bDw7/l6f3qaP/3vPHavMi/Jy7yS8o5t9he6yTZ9BV6BuA4vScn8ws3r\n", "kfZ6vIt7Gd6dmcjH8E/gJUaf4CUlI/Auyi14ne50Av7Cu7M4CCjrf64PXoVlJTDK/y8/W/Aq/Nvw\n", "Eo5T8R7hVwEmOW8Q5c3OuQ/y2EZO5yE8bxRegvY5XiEdvhsWzWdzWycvl+PdjVuO9/7KfbZvPK6c\n", "tp1dZDPWZXg91fXHa+a6BO+uVPga74Z37n/F+57Hsy8JG4HXA/FPeO/lvpVt39ljedhfb47/3yx/\n", "3n5xRZiO932Hk8PP8ZpnRCaLD+K9Y7MR7z2h7HFkYV6vqDfgdZ6x3D+unJq+RJoGrDGzvyKmwUsm\n", "w/I6V5nnwrz3gP+FV2CuwSuQZ+H9wc6yboTI6SeBS503iPswoCrenet1wCJ/m4ORvKhsy/m4w9MJ\n", "X7bhNX9cjHeuf8brcCRyeRdgoXNuI97Tis4AZvY7XmV3gf8by+mmU5ZY/FYa5+JV4hfg3aF/Ee+3\n", "CblcE/6yq/Fuxq3B68nzy9z2U8h95/edDMK74bjeOXdrDscKUZTDZvYO8Bjwhn9O5+J1tpPTPvvg\n", "deqyEu+39Tpe5TSndbMfwxTgF2Clf4MRcvkuSziVcTkfd3g6Ecu4Y4Gv/UTmf8BNZrYohxhuxDtX\n", "C/Cewo7F6406LPvvOft0TlTmJXmZlxIKFVXLhP0558rjndRyeAXC/8zs7mzrdMZrb5+C977QdWY2\n", "J2ZBiUhMOO9dwKXAFeYPs1QSOW8YhXOA1WZ2RMT8G/EqWXuBD8ysX0AhikgMOOceA2qbWY98V04C\n", "KutESrZ4LPNi2hTZzHY4r/vvbc4bEHqGc66dmc2IWG0BcJL/GDr8rkHbWMYlIkXDb/r9LV4nE+Gm\n", "0yW9s5PReM2KMsf/c86dgvee5JF+E5y03D4sIonBeW08y+E94TgOrzlmr0CDKl4q60RKkEQo82Le\n", "FDnihf6yeO/Prcu2/Cu/uQh4AxkXpPMZEQnW34E/8ZrQnIM3uP3OvD+S3MwbcmJ9ttnX4XWnv9tf\n", "J32/D4pIoqmC98rIFrxxPYeY2bvBhlR8VNaJlDhxX+bFvPMov3niD3gvOD/nvxeYm154HdKISAIw\n", "b/D1nAZgl6xaAic55wbidYp1eyE7CxGROOH/hlsGHUecUVknkqQSocwrjie2GWbWGu9J7EnOufY5\n", "rec3X+kJ6F0MEUk2BwE1zKwtXpPtNwOOR0QkFlTWiUhgim24H/8d2g/wekObFrnMOXckXk9jZ5pZ\n", "9mYtWYRCoVBKSn49YItICRPvhcIyvJ4jMbPvnHMZzrlUM1ub2wdU1olILuK5YFBZJyJFpcAFQ0wT\n", "W+dcLWCPmW1wzlUAOpKt2aJzrjFeIdjFzP7Mb5spKSmkp2+OSbxBSEurklTHA8l3TMl2PJB8x5SW\n", "ViXoEPLzDt7wDtOdc4cAZfOq6IHKukSQbMeUbMcDyXtMcazEl3WQfNddsh0PJN8xJdvxQOHKulg/\n", "sa0HvOy/Z1sKeNXMpjjnrgUwsxfwxh2rATznDyK928yOj3FcIiIx4Zx7HTgZSHXOLcUr40YBo5xz\n", "c/HGfOsWYIgiIgdMZZ2IxJtYD/czF2iTw/wXIv59FXBVLOMQESkuZnZ5Lou6FmsgIiIxpLJOROJN\n", "zDuPEhEREREREYklJbYiIiIiIiKS0JTYioiIiIiISEJLuMR23bp1QYcgIiIiIiIicSThEturr746\n", "6BBEREREREQkjiRcYvvZZ58FHYKIiIiIiIjEkYRLbNevX8/u3buDDkNERERERETiRMIltgAbN24M\n", "OgQRERERERGJEwmZ2G7atCHoEERERERERCROJGRiqye2IiIiIiIiEpaQie2GDXpiKyIiIiIiIp6E\n", "TGw3bdITWxEREREREfEkZGKrJ7YiIiIiIiISlpCJrd6xFRERERERkbCETGzVFFlERERERETCEjKx\n", "VVNkERERERERCUvIxFbj2IqIiIiIiEhYQia2emIrIiIiyS4UCrFw4QLatTuOqVM/Zdy4V4MOSUQk\n", "bh0UdAAFVa5cOb1jKyIiIklp8+ZNvPrqy4wd+zJLly5hx44dAHTqdDEAN998fZDhiYjErYRLbKtX\n", "r65ekUVERCTpLFq0kOOPPyroMEREElLCJbY1atRgzZo1QYchIiIiUiAZGRmsW7eOmjVr8tZbb7Jz\n", "506OPvoY5s0zJk/+mPHj3wg6RBGRhJVwiW316tWZP38+oVCIlJSUoMMRERER2U96ejrffvs1O3Zs\n", "5/TTz2T79h0cfniLQm+vXbuTuOmmW4swQhGR5JJwiW2NGjXYvXs327Zto1KlSkGHIyIiIpJpy5bN\n", "zJ79A5dccl6hPl+nTl22b9/Opk0b+ec/T+TII1vTt+/tVK9eo4gjFRFJLgmX2FavXh2ATZs2KrEV\n", "ERGRYvXLLz9z2GGtmD79M667rhcffPApzZsfDMDs2d9zxhmnRL2tww47nF9//RmAjz6ays6dOzn+\n", "+Lbs3buXUChEuXLlYnIMIiLJKOES2xo1vDuWGzdupF69+gFHIyIiIiXFG2+M5aabrqNjxzOYMeNz\n", "tm/fTtu2Rxd4O2+//T716zegefODWbRoIRkZe2nefF8z5dKlSxdl2CIiJULCJbbhJ7Yay1ZERERi\n", "6cUXn+WHH2bx6KNDKVWqFPfeezcAkyd/XOBt9ep1DXPnzuGKK7rSrt1JmfObNm1WZPGKiCS6vXv3\n", "snLlCtLSDi3wZxM2sd20SYmtiMQf59wo4BxgtZkdkW3ZbcBgoJaZrQsiPhHZ38cfT2Lnzh2cf/5F\n", "AOzYsYNy5cpxzz13AfDRR5MIhTLYvn17gbd91VXXcvbZ52VJZpOByjoROVChUIiFC+cze/YP/Pjj\n", "bH788Qfmzv2Jbdu2EQqFCry9hEtsw02R9cRWROLUaOBp4JXImc65RkBHYHEQQYlI7rp2/T8Ajj12\n", "ON269aBv3z7s3bs3c/m2bVtz/eyYMeN46KH7mD//TwDuuedBHn74fgA++2wmrVodHsPIA6WyTkQK\n", "ZMuWzXz//Sy+++4bvv32a2bP/oGNG/fldKVKlcK5v9GmzbGF2n7CJbaRnUeJiMQbM/vCOdc0h0VP\n", "AHcC/yveiEQk0ooVy9mzZw+NGjXmpZdezLxhDjBr1rfMmvVtnp9PTU1l7dq1wL7E9ayzzmH37t0s\n", "XryIFi1aUqFCedq370DLlofE9FiCpLJORPKzbNlSvv32a7799mu+++5bfvllLhkZGZnLmzVrTocO\n", "p9G6dRtatz6GI4448oA6B064xDay8ygRkUTgnLsAWGZmc5xzQYcjUmKlp6dz1FF/A2DZsjXcffft\n", "Bfr8ySefwr33PkiFChWpWTOV1NRUAFJSUihbtmxmInv11dcVbeAJQmWdSMm2cuUKZsz4nC+//IIv\n", "vvicJUsWZS4rV64cxx13AscddwLHH9+WY489nlq1ahXp/hMusVXnUSKSSJxzFYH+eE3zwlICCkek\n", "xPr2228499x9P8OGDfOvUB18cAteeulVXn/9Vbp27cEhhyhZy43KOpGSZ+3atcyc+QUzZnzOjBmf\n", "M2/eH5nLqlWrzplnnkPbtv/g+ONP4Igjjor5EGYJl9iGn9iqKbKIJIiDgabAT/4TjIbA9865481s\n", "dV4fTEurEvvoilGyHQ8k3zEl2/EAlC8P1113HWPHjs1zvWuuuYYXX3yRpk2bsmjRIgC+/HIGderU\n", "4eST2xZDpAlPZV2EZDumZDseSL5jKo7j2bNnD19//TWTJk1i0qRJzJ49O3NZ5cqVOeusszj11FM5\n", "9dRTOeqoo4p96LKES2z1xFZEEomZzQXqhKedcwuBY6LpKTQ9fXMsQytWaWlVkup4IPmOKdGPZ8OG\n", "9VSsWInt27dx112389Zbb3LEEUcwd+7cXD/z2GNP0KlTZypUqEAoFOKYY9rSseMZ3HPPXZQvX55S\n", "pSrG3TmJ18q4yrp9Ev23lF2yHQ8k3zHF8nhWrVrFZ599ypQpk5k2bWpmZ09ly5alXbuTOPHEk2nX\n", "7iRat25DmTJlMj+3bt22A9pvYcq6hEtsq1WrBuiJrYjEJ+fc68DJQKpzbilwn5mNjlil4P3Xi0ie\n", "1q9fR079GOWW1JYuXZqFC1dQvnz5zHkpKSlcdNGlAAwbNjwmcSYTlXUiyevPP+fx4YfvMWnS+3z/\n", "/azM+Y0aNebCCy+hQ4eOtGt3EpUrVw4wyv0lXGJbunRpqlSpyvr164MORURkP2Z2eT7LmxdXLCIl\n", "QSgUolWrFvmud+KJ7TnmmGP56KMPGDXqtSxJrRScyjqR5BEKhfjxxx/48MP3mTTpff74wwAv72rX\n", "7iQ6djyTDh060rLlIaSkxO+r8wmX2ALUqFGTDRuU2IqIiJRUu3fv5vPPP+Pyyy/Nc71u3XrSu/cN\n", "1K/fgIoVK9K//33FFKGISPwKhULMmfMjb789gXffnchffy0DoEKFCpx11rmcddY5nH76mdSsmRpw\n", "pNFLyMS2Zs0amP0edBgiIiJSjFasWM7MmTNYtGgh48a9ytKlS3Jd9/XXJ3DGGaeyZ09CVnVERGJi\n", "3rw/ePvt8UycOIEFC+YDULVqNf71r06cffZ5nHJKBypWrBhwlIWTkKV9jRo12b59O9u3b6dChQpB\n", "hyMiIiIxlJGRwS+//EyHDu3yXbdLl+5ceOElnHRSe2rUSK4OYkRECmPlyhWMH/9fJk6cwM8/zwG8\n", "J7MXXngxF130L0499bSYD8VTHGKW2DrnygPTgXJAWeB/ZnZ3Dus9BZwFbAOuNLPZ2dfJLjzkz/r1\n", "66hQoUFRhi0iIiJxIBQKsXnzJtasSWfo0McZP/6NHNe75prrKFu2HF27XknZsmVp0KBhMUcqIhJ/\n", "du3axeTJHzNu3CtMmTKZjIwMypQpw+mnn8lFF13KGWecHXedPx2omCW2ZrbDOXeKmW1zzh0EzHDO\n", "tTOzGeF1nHNnAy3MrKVz7gTgOSDfweJq1KgJwLp166hfX4mtiIhIMsjIyGDz5k2sW7eO++67m5kz\n", "v2Tz5k25rv/jj7+pHiAiEuH3339j3LhXmTDhDdasWQPA0Ue3oVOnLlx44cWZeVQyimlTZDMLD2BU\n", "FigNZB/L7HzgZX/db5xz1Z1zdcxsVV7bDX8h69fnOzSaiIiIJICffprN/fcPYObMGfmu27z5wYwa\n", "9ZqSWhERYOfOnUyY8F9GjRrBrFnfApCamsq1197A5Zd34bDDWgUcYfGIaWLrnCsF/AAcDDxnZr9m\n", "W6UBsDRiehnQEMgzsa1Z00ts1TOyiIhI4luyZDEdO56c73oPPTSISy/tRGpq4vTSKSISK3/9tYxX\n", "XhnFa6+9THp6OikpKXTo0JErrujGGWecRdmyZYMOsVjlm9g65yqZ2dZs8+qb2fL8PmtmGUBr51w1\n", "4GPnXHszm5ZtteyDIeU7oHeTJt4d2t27t5GWViW/1eNeMhxDdsl2TMl2PJCcxyQiiefNN1+nT59r\n", "c1z20EOD+O23Xxk37lUArr32huIMrUQ4kHqeiBS/UCjEl19+wUsvvchHH33A3r17qVGjBtdffxNX\n", "XtmLpk2bBR1iYKJ5YjvLOdfJzH4CcM6dCbwANIl2J2a20Tn3AXAsMC1i0V9Ao4jphv68PJUu7fWE\n", "vGTJ8oTv7TAtLfl6bEy2Y0q244HkOyYl6SKJ5+mnh/HFF9OYNm1qjsvnzDHq1q3Hrl27MhNbiYkD\n", "rueJSOzt2bOHd9+dyPDhTzF37k8AHH74kVx11bVcffWVbN26N+AIgxdNYnsDMNE5NxQvCT0XODu/\n", "DznnagF7zGyDc64C0BF4MNtq7wJ9gDecc22BDfm9Xwv7ekVet07v2IqIiCSSZ599mu+++4YPPng3\n", "13W6d+9F3br1AChbtiyvvPIGDRrofdoYKVQ9T0SKx5YtWxg37hVeeOFZli5dQqlSpTjvvAu55prr\n", "Of74E0hJSaFixYps3Zo8DywKK9/E1symOuc6ATPx3n093Myiebm1HvCy/55tKeBVM5vinLvW3+4L\n", "Zvahc+5s59yfwFagRzRBq/MoERGRxLNly2YeeGDAfvOvueY6Bgx4INex6c88U3lWrBxAPU9EYmjd\n", "urW8+OLLi6eGAAAgAElEQVSzjBo1gg0bNlChQgV69LiK3r370KxZ86DDi0vRvGN7PvA00As4BvjU\n", "Ofd/ZvZnXp8zs7lAmxzmv5Btuk+BImZf51FKbEVEROLb8uV/UadOXcx+p3fvnjmu8/DDjxVzVBJW\n", "2HqeiMTGunVref754YwY8Txbt24hNTWVO+64m549r1HHefmIpinyQ8DpZmZ4T2AvAqYCjWMaWR6q\n", "VKnKQQcdpKbIIiIicWzq1E/p1Oni/ebfdls/una9ktatDw0gKskm7up5IiXR2rVref75Zxg58gW2\n", "bt1CWlpt7ryzP92796RixYpBh5cQokls25rZ9vCEmU10zs2OYUz5SklJoXr1GnpiKyIiEoeee+4Z\n", "3njjNRYvXrTfspSUFPr185ojDxnyJA0bNtpvHSlWcVfPEylJNmxYz/DhT2VJaPv160+3bkpoCyrX\n", "xNY518zMFgLNnHPFGFJ0atasyZo16UGHISIiIhE2btzA/ff3zzKvXr36rFixnAcfHMh5512QOb9b\n", "t6i61pAYiPd6nkiy27FjByNHvsCTTw5l48YN1K5dh7vuGkDXrj2U0BZSXk9snwHOAT4k57FlAx0k\n", "qXr1Gvz55zwyMjIoVapUkKGIiIiUeL1792T27B9YuHBBlvk33tiXe+55gJSU7MPWS8Diup4nkqz2\n", "7t3L+PFv8Nhjj/DXX8uoXr0699//MD17Xp1rB3oSnVwTWzM7x/9nazPbUEzxRK1mzZpkZGSwadNG\n", "qlevEXQ4IiIiJc7y5X/l+Z7se+99wnHHHa+kNg7Fez1PJBlNnTqZBx+8j99++4Vy5crRp88t3HRT\n", "X+UyRSTPR53+UD0ziymWAgkP+aMOpERERIrfzJkz8kxqJ02awgkntFWrqjgWz/U8kWSyYMGfdOly\n", "GZ06XYLZb1x+eRe+/no29933byW1RSjPvzZmlgEsdc7VLKZ4oqaxbEVERIJz003X57ncub8VUyRS\n", "WPFczxNJBlu2bObf/76PE088gU8++Yh27U5i6tQvefLJZ2nQoGHQ4SWdaHpF3gTMds59AGz154XM\n", "7M7YhZU/jWUrIiJS/N5773+sWZPOkiWL9lt2xx1306iRN0pM5cpVijkyKaS4rOeJJLJQKMSbb77O\n", "Qw/dz+rVq2jUqDEPPPAI5557vl7NiKFoEttf/P/CHQukkHMnA8VKTZFFRESK1+LFi+jVq+t+8999\n", "9yNOOOHvqrAlpris54kkqvnz53H77bfw5ZdfUKFCBe68sz833HCzOoYqBtEktv81s98iZzjnAh9R\n", "PTW1FuANZiwiIiKxY/Y7K1euoGfP/ZPaK67oqqQ2scVlPU8k0ezcuZOnn/4Pw4YNYdeuXZxxxlkM\n", "GjREY3UXo2gS23HA0dnmjQXaFH040duX2K4JMgwREZGklZ6ezm233chHH32Y4/Kvv55N8+YHF3NU\n", "UsTisp4nkki+/nomt99+M3/8YdSpU5dBg4Zwzjnn6YZfMcs1sXXOpQG1gfLOucMiFlUHKsU6sPyk\n", "pXmJ7Zo16QFHIiIiklw2btxAmTJladUq56R1woR3Oemk9sUblBSpeK/niSSCLVs288AD9/LKK6NI\n", "SUmhR4+rGDDgfqpWrRZ0aCVSXk9sOwM3A/WBDyLmbwIej2VQ0Qg/sVViKyIiUnQyMjJo2bJxrsuP\n", "OeY4JbXJIa7reSLx7ssvv+Dmm69nyZLFHHroYQwZ8iTHHXdC0GGVaLkmtmY2DBjmnBtgZo8UY0xR\n", "qVq1GmXKlFFTZBERkSKye/duGjRI3W/+6NFjad78YB577BGGDXsmgMikqMV7PU8kXm3bto1HHnmA\n", "ESOep1SpUtxyy+3cdls/ypUrF3RoJV6+79iGCzvnXG2gfMT8JTGMK18pKSmkptYiPV2JrYjED+fc\n", "KOAcYLWZHeHPGwycC+wC5gM9zGxjcFGK5Oz777/bb96SJaspX9778z9mzNjiDklirLD1PJV1UhJ9\n", "99033HhjbxYsmE+LFi15+unnOeaY44IOS3yl8lvBOXeqc24p8BdgwCJgVozjikqtWml6Yisi8WY0\n", "cGa2eZ8ArczsKOAP4O5ij0okD6tWrWLw4MGcf/6+S/fMM89h1aqNmUmtJKcDqOeprJMSY+/evQwZ\n", "8ijnnXcGCxcuoHfvPkyZMkNJbZyJplfkIcBpwBt4PeT1AprFMqhopaam8vPPc9i+fbvGhhKRuGBm\n", "XzjnmmabNzli8hvgkmINSiQXf/xhPP30f/jvf8dlmf/GG29z6qmnBRSVFLNC1fNU1klJsXz5X1x3\n", "3VV89dWXNGjQkOHDX+Qf/2gXdFiSg3yf2AKYmQFlzCxkZiPZ/w5dIGrVSgM05I+IJJSeQM5jp4gU\n", "k1AoxI039qZdu+P2S2pPPLG9ktoSJkb1PJV1kvAmTfqAU075B1999SXnnHM+U6fOUFIbx6J5YrvL\n", "//9y59z5eE1UasQsogIIJ7Zr1qRr8GMRiXvOuQHALjMbl+/KIjH0889z9ktoAd5992Patv17ABFJ\n", "gIq8nqeyThLdjh07eOCBAYwaNYLy5cszePAwunXroXFp41w0ie1TzrmawD3A60A14JaYRhWlWrW8\n", "IX/0xFZE4p1z7krgbKBDtJ9JS6sSs3iCkGzHA4l7TB06nLjfvGeffZbzzjs9gGhiK1G/o2JUpPU8\n", "lXWeZDumZDseyP2YFi9ezCWXXML333/P4YcfzhtvvEGrVq2KObqCS8bvqKCi6RU5fLftWyDnkdoD\n", "En5im56usWxFJH45584E7gBONrMd0X4uPX1z7IIqZmlpVZLqeCBxj+nddydmmW7YsBFffz2bBg1S\n", "E/J48pKo31FeirryWpT1PJV1nmS77pLteCD3Y/rssyn07t2T9evXc/nlXXj00aFUqFAh7o8/Wb+j\n", "gormiS3OuQ5AC6B0eJ6ZPVvgvRWx1NTwE9u1AUciIuJxzr0OnAzU8nsavR+vZ9CywGTnHMBXZnZ9\n", "cFFKSfTGG2O56abr9pv/4IMDKVu2bAARSbwoTD1PZZ0kk4yMDJ58ciiPPvowZcqUYejQp+jSpbua\n", "HieYfBNb59xrwBHAT8DemEdUAOGmyGvW6ImtiMQHM7s8h9mjij0QkQiPPPIgTz45NMu86dO/ZsaM\n", "6Zx77vkBRSXxoLD1PJV1kiw2btxAnz7X8vHHk2jQoCEvvfQKbdocG3RYUgjRPLE9DjjMzOIqqYXI\n", "J7Z6x1ZERCQnoVBov6T2m29+pFmz5hx66GEBRSVxJG7reSKxNn/+PDp3vowFC+Zz4onteeGFUZkP\n", "ziTxRDPczwKgUqwDKYy0tH29IouIiMg+06d/Ru3aValTp1qW+b//vpBmzZoHFJXEobit54nE0uef\n", "T+PMMzuwYMF8brjhZt58c6KS2gQXzRPbO4EvnHPTgZ3+vJCZ3Rm7sKJTqVJlypUrpye2IiIivlAo\n", "RMeOJzNnzo/7Leva9Upq1kwNICqJY3FbzxOJleeff54+ffpQqlQpnnrqOTp16hx0SFIEoklshwFL\n", "gA14716kAKFYBhWtlJQUatVKY80aJbYiIiIAGzas3y+pvfLKXlx44SUcc8xxAUUlcSxu63kiRW3P\n", "nj3cd9/djBz5AqmpqYwePU5jdyeRaBLb+mZ2aMwjKaRatdL444/fgw5DREQkcBkZGbRuve9Pdq1a\n", "aUydOoO6desFGJXEubiu54kUlS1btnD11d2ZMmUyrVq1YsyY12nSpGnQYUkRiuYd27nOufoxj6SQ\n", "UlNT2b59O1u3bg06FBERkUBccMFZHHmko3Hj2mzfvj1z/ltvvaekVvIT1/U8kaKwevVqLrroHKZM\n", "mUyHDh2ZOXOmktokFM0T2+rAz865L4HwYNshM7ssdmFFr1atfR1IVaqkvg9ERKRkycjI4Kuvvtxv\n", "/vDhL6rXY4lGXNfzRA7UggXz+b//u4jFixdxxRVdGTLkSapWrUp6+uagQ5MiFk1iO87/L1LcvHsR\n", "OeSP7ryIiEhJs3nzpv3mvfXWe5x44skBRCMJKK7reSIH4ocfZtGly2WsWbOGW2+9k379BpCSkhJ0\n", "WBIj+Sa2ZjamGOIotMgntiIiIiVJKBTilFP+mWXevHlLqFatekARSaKJ93qeSGF9+unHXHVVd3bs\n", "2MHgwcPo3r1n0CFJjEXzjm1cC483tXbt2oAjERERKT6hUIhhw4awbNlSAA49tBX/+98kJbUiUuK9\n", "/fZ4unbtREZGBqNHj1VSW0JE0xQ5roUT2/T01QFHIiIiEnsZGRnMnfsTHTtmbWo8YcK7pKWlBRSV\n", "iEh8GDv2FW699UYqV67C2LHjNZxPCZLwiW3t2nUASE9XU2QREUl+p5/efr9xaqdN+0pJrYiUeCNG\n", "PMeAAf2oWbMmb775Dkce2TrokKQY5dsU2Tn3ZjTzghJObFevXhlwJCIiIrGTkZHB4MGD9ktq77rr\n", "Hg47rFVAUUmii/d6nki0hg0bwoAB/ahduw7vvDNJSW0JFM0T25Y5zIubgbzDnUetXq2myCIikrz6\n", "9buNl19+KXP6jjvupm/fOzjooIRvfCXBiut6nkh+QqEQgwY9xLBhQ2jYsBETJrxL8+YHBx2WBCDX\n", "v4bOuauBa4BDnHPfRSyqBlh+G3bONQJeAWrjdRv/opk9lW2dWsBrQF0/liEF7Z2vTJkypKamsnr1\n", "qoJ8TEREJGEsWDA/S1I7YMD93HzzbQFGJInuQOt5IvEgFAoxcOC/efLJoTRr1py33nqPhg0bBR2W\n", "BCSv27yfAPOA4cDtQHjQp03AT1FsezfQ18x+dM5VBr53zk02s98i1ukDzDazu/0k15xzr5nZnoIc\n", "RO3adVi+fHlBPiIiIhL3tmzZwg03XMOkSe9nzhs0aAhdu14ZXFCSLA60nicSuMcfH8iTTw6lefOD\n", "eeedD6lbt17QIUmAck1szWwxsBgo1Is7ZrYSWOn/e4tz7jegPhCZ2K4AjvT/XRVYW9CkFiAtrQ6/\n", "/fYrO3bsoHz58oUJV0REJO4ceaRjy5bNmdMjR77M+edfFGBEkiwOtJ4nErQhQx5l6NDHaNq0GRMn\n", "fqCkVvJ/x9Y59zfgHuDgiPVDZnZ8tDtxzjUFjga+ybZoBDDVObccqAJcFu02I9WuXRvwhvxp1Khx\n", "YTYhIiISN1avXs2YMSOzJLUdOnRUUitFrijqeSLFbdiwITz++EAaN27KxIkfUK9e/aBDkjgQTY8T\n", "bwBvAqOBvf68ULQ78JshTwBuNrMt2Rb3B340s/bOuYOByc65o8xs834bysO+npFXKbEVEZGEFgqF\n", "OPzwFlnmXXrp//HssyMCikiS3AHV80SK29NPD2PgwH/TqFFjJk58nwYNGgYdksSJaBLbFDMbWJiN\n", "O+fKAG8Br5nZOzms8g/gEQAzm++cWwg4YFZe201Lq5JlunlzL5nduXPzfssSQSLGnJ9kO6ZkOx5I\n", "zmMSSQbZh/OpUKECAwbcH1A0UgIUup4nUtyef/4ZHnroPho0aMhbb72nB1qSRTSJ7Vf+U9QCdSTg\n", "nEsBXgJ+NbNhuaz2O3Aa8KVzrg5eUrsgv22np2d9oFuxYjUA5s1btN+yeJeWViXhYs5Psh1Tsh0P\n", "JN8xKUmXZLFlyxY6djw5y7zFi9Xrv8RUoep5IsXt9ddf4777+lO3bj3eeus9mjZtFnRIEmfyGu7n\n", "u4h1ejrnDNjhz4vm3Yt/Al2AOc652f68/kBjADN7ARgIjHbO/QSUAu40s3UFPYjIpsgiIiKJZufO\n", "nfTvfwcVK1bMMr9bt54BRSTJrgjqeSLF5sMP36dv3z7UrFlT49RKrvJ6YnvHgWzYzGbgJat5rbMG\n", "OO9A9gORie3qA92UiIhIsTv99Pb89tsvWeZdcMHFDBmSW4MnkQN2QPU8keLy5ZdfcO21PShfvgLj\n", "xk3gkENc0CFJnMpruJ9pxRjHAQn3iqwntiIikmj27NmTJamtX78BXbp0p3fvGwKMSpJdItXzpOSa\n", "M+dHunbtREZGBq++OpY2bY4NOiSJY9EM9/MdXu944YG7Q3iDd88EHs+hp+NiV6NGTcqUKcPq1SuD\n", "DkVERCRq3333Dddeu6+58Z9/LqVq1WoBRiQlTSLU86Rkmj9/Hp06XczWrVsYMWIM7dufGnRIEuei\n", "6TxqKtACeBmv0OsK/AU0BJ7zpwOVkpJCnTp1WbFiRdChiIiIRGXNmjWcc07HzOlXXnlDSa0EIe7r\n", "eVLyrFq1kssuu4g1a9YwePAwjeEtUYkmsT0Z+LuZhQCcc+8BXwF/B37J64PFqV69+vzwwyz27t1L\n", "6dKlgw5HREoo59wo4BxgtZkd4c+rCfwXaAIsAi4zsw2BBSlx4ZhjWmWZPuWUDgFFIiVcoep5Kusk\n", "VrZs2ULnzpexdOkS7rrrHrp3Vyd6Ep08O3fypQLlI6bLATXNLAPYHpOoCqFevfrs3buXNWvSgw5F\n", "REq20cCZ2ebdBUw2s0OAKf60lFCrVq3iggvOYvv2fX9CL7+8C+XKlQswKinBClvPU1knRW7Pnj1c\n", "e20P5sz5kS5dutO3r/o4k+hF88T2Tbwxzv6L10TlUmCCc64y3t24uFCvXj0Ali//izp16gYcjYiU\n", "VGb2hXOuabbZ5+M9FQGvud80VOErsYYNG8xXX32Zbd7wgKIRKVw9T2WdFLVQKMSAAXcyefLHnHJK\n", "Bx577AlSUlLy/6CIL9/E1swGOOe+Bk7B61DgfjN7z198cSyDK4h69RoAsGLFCo4+OuBgRESyqmNm\n", "4W7bVwF1ggxGgrFgwZ+0bdtmv/mvvfZfVd4kMEVcz1NZJ4X23HPPMHr0SA477HBGjnyZMmXKBB2S\n", "JJhontjiF3Dv5btigMJPbFesWB5wJCIiuTOzkHMuFM26aWlVYh1OsUq244GCHVPbtpdmmV6wYAHN\n", "mjUr6pAOSEn/jkqqWNTzSnJZB8l3TLE+ngkTJvDAAwOoX78+H388iYYNG8R0f6DvKBnlmtg65x43\n", "szudc+NzWBwys8tiGFeB1atXH4CVK9UzsojEnVXOubpmttI5Vw9YHc2H0tM3xzis4pOWViWpjgcK\n", "dkzvvjuRBQsWZJlXvnz1uDonJf07ShRFVXmNUT2vxJd1kHzXXayPZ9asb+natSuVKlXm1VffpFy5\n", "ajE/f/qO4l9hyrq8nth+4f//gxyWRXUHrjiFE9vly/8KOBIRkf28C3QHHvP//06w4Uhxeu+9d7jq\n", "qu6Z0+3bn8rw4SM46KCoGk2JxEos6nkq66RA/vprGd27X8Hu3bsZM2YsRxxxZNAhSQLL9a9q+P0K\n", "MxtTbNEcgLp1vabIemIrIkFyzr2O13lKLefcUuA+4FHgTedcL/whMIKLUIrT2rVr6dWrW5Z5b76p\n", "ur4E70DreSrr5EBt27aN7t2vID19NQMHPs6pp3bM/0Miecj3drFz7hBgFNDQzJo659oA55vZA7EO\n", "riDKlStHamqq3rEVkUCZ2eW5LDqtWAORwO3du5dDD836Du3EiTk9HBMJTmHreSrr5ECEQiH69r2B\n", "OXN+pHPnbvTqdW3QIUkSiGYc2+eAR4DwANs/Ead34OrVa8Dy5csJheKupbSIiJQw9967b5ST449v\n", "ywsvjOKf/zwxwIhEcpQw9TxJHk899QQTJ77F8ce35dFHh6pneCkS0SS21cxsEv77Fma2F9gV06gK\n", "qV69emzbtpXNmzcFHYqIiJRgCxbMZ+TIFwC49trref/9T7jookvz+ZRIIBKmnifJ4eOPJzFw4L9p\n", "0KAho0a9Rrly5YIOSZJENIntHudc2fCEc64BsDd2IRVe3bpeB1IrVug9WxERKX4//TSbfv1upW3b\n", "fQOq9+hxVYARieQrYep5kvh+//03evfuRfny5Xn55XHUrl076JAkiUTTJeNzwNt4nQM8CHQDBsQ0\n", "qkKqXz+c2C7Hub8FHI2IiJQ0HTuevN+8WrXSAohEJGoJU8+TxLZu3Vq6dv0/tm7dwosvjubII1sH\n", "HZIkmXwTWzN72Tm3ADgPqAB0M7Mv8vlYIDSWrYiIBGXTpo37zXv00aFUrVotgGhEopNI9TxJXHv3\n", "7qV3714sXryIvn1v58ILLwk6JElC0fSK3MIv4OK+kAsP+aOxbEVEpDgtXbqEY445PMu8d975kH/8\n", "o11AEYlEJ5HqeZK4Bg8exLRpUznttNPp1++eoMORJBVNU+R3nXOVgKnAFGCKmcXlI9HwE1u9Yysi\n", "IsXp/fffzfx3ly7deeKJpwOMRqRAEqaeJ4lp8uSPeOKJx2ncuAnPPjuCUqWi6eJHpODyvbLM7DCg\n", "LV5h1wGY5Zz7LdaBFUb4HduVKzWWrYiIxN7u3bu57babuf/+/gA8//xLSmoloSRSPU8Sz+LFi7jh\n", "hmsoV64co0a9SvXqNYIOSZJYNE2RU4DGQBOgKbCWOG2uUrVqNSpWrMjy5UpsRUQk9t56601efXV0\n", "5nSbNscGGI1IwSVSPU8Sy44dO+jVqxsbNmzgP/95Rp1FScxF0xR5PfAz8CLQ1cyWxTakwktJSaFe\n", "vfosXx63IYqISJJYtWoVd911e5Z54b4eRBJIwtTzJLH0738Hc+b8SOfO3ejcuVvQ4UgJEE0j94HA\n", "VuBO4D7n3GXOuVqxDavwGjduwtq1a9myZUvQoYiISJKaNm0qhx12GNu2bQXgyit78eWXsyhfvnzA\n", "kYkUWELV8yQxjBv3Kq+99jJHHHEUAwcODjocKSGiecf2cTM7A2gDzAAeA1bGOrDCatKkKQBLliwO\n", "NhAREUlKw4c/xWWXXci6desAKFOmDI8+OpSWLQ8JODKRgku0ep7Ev7lz53DXXbdRrVp1XnrpFSpU\n", "qBB0SFJCRPOO7aV4nQmchpcIf4rXwUBcaty4KeC9rH7YYa2CDUZERJLG7t27SU9fzYMPZh2qYu7c\n", "P9TLpySsRKvnSXzbsmUzV1/dnR07djBy5Ms0bdos6JCkBInmHdtL8Aq5x81sYYzjOWD7ntguCjQO\n", "ERFJLsOGDWHw4EGZ04cffjgjRrxMzZqpAUYlcsASqp4n8SsUCnHnnbeyYMF8rr/+Jk4//aygQ5IS\n", "Jt/E1swuL45AikrTpk0B74mtiIhIUVi0aGGWpPaUUzowZcpk1qxRfw6S2BKtnifx67//HceECf+l\n", "TZtj6N//vqDDkRIo6dpONW7cBFBiKyIiRef000/OMv3MMy+SkpISUDQiIvFl3rw/uOuu26hatRov\n", "vDCasmXLBh2SlEDRNEVOKNWqVad69erqPEpERA7Yrl27mDz5YzZs2JA5b/XqTQFGJCISX7Zv387V\n", "V1/Jtm3bGDny5czXAkWKW65PbJ1zl/v/b1584RSNxo2bsmTJYkKhUNChiIhIAuvf/0569OicOT1u\n", "3PgAoxEpOolcz5P4cv/9/fn115/p1q0n559/UdDhSAmWV1Pk8KjzbxVHIEWpSZOmbN++ndWrVwcd\n", "ioiIJKhQKMQrr4zKnJ4w4V1OO+2MACMSKVIJW8+T+PHee/9jzJiXOPTQVjz00KD8PyASQ3k1RS7l\n", "nHsGqO+cexyIfJkoZGZ3xja0wot8z7ZOnToBRyMiIolm06aNHHnk3zKnDz20FSeeeHIenxBJOAlb\n", "z5P4sGTJYvr27UPFihUZMWKMxquVwOX1xPYyYCmQAWz1/9sS8e+4pSF/RETkQIwd+yrbtu37Uzd9\n", "+lfqLEqSTcLW8yR4u3fv5tpre7Jp00YGDRrCIYe4oEMSyf2JrZnNAx5zzi0zs7HFGNMBU8/IIiJS\n", "GNu3b6dt26NZsWI5AJ06deaeex4MOCqRopfI9TwJ3tChj/H9999x8cX/olOnzvl/QKQYRDOO7Vjn\n", "3JnAaUAImGxmn8Q8sgMQHstWPSOLiEhBfPbZlMyk9ogjjmLYsOGUKpV0I+OJZErEep4E65tvvmbY\n", "sCE0atSYxx9/Qq1ZJG7k+9faOXcHMARYD2wEhvrz4laDBo1ISUnRE1sREYnaqlWruPLKKwB4/vmX\n", "mDLlCyW1kvQSsZ4nwdm8eRM33HA1AMOHj6Bq1WoBRySyTzTj2HYD/m5mmwGcc08CM4HBsQzsQJQr\n", "V4769RsosRURkaj8/vtvnHTSCZnTjRo1DjAakWKVcPU8Cc5dd93udxp1O23b/j3ocESyiOpWdLiw\n", "y/7veNa4cROWL/+LXbt2BR2KiIjEsTFjXsqS1AI0bNgooGhEil8i1vOk+E2cOIHx49/g6KPbcPvt\n", "dwcdjsh+onliO8s5NxoYgdcVfC9gVn4fcs41Al4BauO9s/GimT2Vw3rtgf8AZYA1ZtY+2uDz0qRJ\n", "U7766kuWLVtC8+YtimKTIiIHxDl3N9AFrxfSuUAPM9sZbFQl28KFC7jzzr6Z0/fc8yAnn9yeevXq\n", "BxiVSLEqVD0vLyrrks+yZUu5446+VKxYkeeeG0mZMmWCDklkP9E8sb0RWA08BTzp/7tPFJ/bDfQ1\n", "s1ZAW+AG59yhkSs456oDw4HzzOxw4NICxJ6nfT0jqwMpEQmec64pcDXQxsyOAEoDnQINqoRbuHAB\n", "J5zQOnP6lltu56ab+nLUUUcHGJVIsStsPS9HKuuSz969e+nT51o2bdrIww8/pgdGErei6RV5C9Cv\n", "oBs2s5XAyvA2nHO/AfWB3yJWuwJ4y8yW+eutKeh+chMey1bv2YpInNiEd8OvonNuL1AR+CvYkEqu\n", "999/l549u2SZ16nTFQFFIxKcwtbz8qCyLskMHjyYmTNncNZZ59K5c7egwxHJVbF09+jfvTsa+Cbb\n", "opZATefcZ865Wc65rkW1zyZNmgEa8kdE4oOZrQOGAkuA5cAGM/s02KhKpnnz/siS1DZq1JjVqzfp\n", "KYRIEVBZl1x++mk29957L3Xq1OWJJ57W0D4S11JCoVBMd+CcqwxMAx42s3eyLXsGaAN0wLuj9xVw\n", "jj9oeG6iCnjFihXUr1+fSy+9lPHjxxcqdhFJGHH/l9Y5dzDwHnAi3pAa44EJZjY2l4/EtnAuwSZO\n", "nMjFF1+cOf3rr79y6KGH5vEJkbgS1+WdyrrksXXrVo455hjMjE8++YSOHTsGHZKULAUu66LpPKrQ\n", "nIprCWYAACAASURBVHNlgLeA17Intb6leB1GbQe2O+c+B44C8kpsSU/Pv8O+0qUrUaFCBX7//Y+o\n", "1g9KWlqVuI6vMJLtmJLteCD5jiktrUrQIUTjWGCmma0FcM69DfwDyK2yl3TfUbwczxNPDAOgefOD\n", "ueWW26lVq2GhYounYyoKyXY8kLzHFOdKdFkHyXPd9et3K2bGLbfcQuvWbZPimMKS5TsKS7bjgcKV\n", "dVEnts65spHrm9m2fNZPAV4CfjWzYbms9j/gGedcaaAccALwRLQx5SUlJYXmzVuwYMGfZGRkUKpU\n", "sbS6FhHJze/Avc65CsAO4DTg22BDKnmmTv2UGTM+B+DRR4fSvv2pAUckEh8KWs/Lg8q6JDB16qeM\n", "Hj0S5/7GoEGD2Lx5d9AhieQr38TWOXcp3nA8DSJmh/B6ucvLP/G6ep/jnJvtz+sPNAYwsxfM7Hfn\n", "3EfAHLwu4UeY2a8FO4TctWzZkl9+mcuKFctp0KBhUW1WRKTAzOwn59wreMNoZAA/AC8GG1XJsGrV\n", "Kn799WfuuOOWLP0uHHvs8QFGJRIfDqCelyOVdYlvw4b13HLLDRx00EE8++wIypcvr8RWEkI0T2wH\n", "AxcDP5jZ3mg3bGYziKJzKjMbAgyJdrsF0aLFIYDXUYgSWxEJmpk9DjwedBwlTbt2x7Fx44Ys82bN\n", "mkvlypUDikgkrhSqnpcXlXWJ7a67bmPlyhXcffe9HHHEUUGHIxK1aBLbFWb2XcwjiYGWLb3E9s8/\n", "/1BzMxGREmjXrl37JbVHHXV05ljnIpK49Twpeu+88xZvvz2BY445jhtv7Bt0OCIFEk1i+6xz7mHg\n", "bbx3JQAoyibDsRL5xFZEREqWFSuWc9RRf8uc7tv3dnr2vJZKlSoFGJVI3EnYep4UrZUrV9Cv361U\n", "rFiR4cNf4KCDYtrHrEiRi+aKrQvcCnQDIpuoNItJREWoefODAfjzzzw7WRYRkSTUo0fnzH+feebZ\n", "3H33fQFGIxK3EraeJ0UnFArRt28f1q9fz6OPDtW43pKQoklsbwIONrMVsQ6mqFWqVImGDRspsRUR\n", "KUEyMjJ44YVn+eGH7zPn9e7dJ8CIROJawtbzpOi88spopkyZzCmndKBHj6uCDkekUKIZA2dxIhd2\n", "LVq0ZMWK5WzZklxjO4mIyP6GDn2MunWrc//9/TPnffHFt/zjH+0CjEokriV0PU8O3IIF87n//v5U\n", "q1adYcOGk5KSEnRIIoUSzRPbb5xzrwPj8d69SAFCZvZhTCMrIi1bHsK0aVP58895tG7dJuhwREQk\n", "hh577JEs08OHv4hzf8tlbREhwet5cmD27t3LjTf2Ztu2bTz//NPUq1c/6JBECi2axPZYvPHMbsw2\n", "PyEKvMgOpJTYioiUHEcddTT/+lenoMMQiXcJXc+TAzN8+JN89903XHjhxVx88b+CDkfkgOSZ2Drn\n", "SgOvm9kLxRRPkWvRoiXgDfnz/+3dd3xUVf7/8dekAAESEiCEkiD9IMUCoqCuioqNFVlRV1394YqK\n", "FKnqqqvoooKASvmCCCsqlpVd7JVdFUWQpvR6EKlKSyiBkELK/P5IgoCQTMLM3Jmb9/PxyMOZmzsz\n", "7+NMPpwz595zRUTEnb79dja33NL9uG0ffzzLoTQi4cEN/Twpv9WrVzFq1LMkJdVl1KgXnY4jctpK\n", "PMe26ELd9wUpS0C0aGEAsNY6nERERAJl+PDfVjy+8cabGDXqRWJiYhxMJBL63NDPk/LJycmhX7/7\n", "yM3NZfz4SSQk1HQ6kshp82XxqNnGmLA9NqFOnSTi4+Oxdp3TUURExI8KCgr47rtv6dv3XlavXgnA\n", "xIlTePnlV7Wqp4jvwrqfJ+UzatSzrFu3hp49e3H55V2cjiPiF76cY/tXYKgxZjpwuGib11pbJ3Cx\n", "/Mfj8dCyZSsWL15IdnY2VapUcTqSiIj4wejRI3jxxdHHbdM5tSJlFtb9PCm7H39czEsvTaBRo8Y8\n", "9dQzTscR8RtfF48Kay1bnsnChfP56acNtG17ltNxRERKtXjxYmrXbkBsbJzTUULWiYPa2bO/12Uq\n", "RMou7Pt54rusrCwGDOiD1+tlwoTJVKtWzelIIn5T6qHI1totwC9AtaKfX4q2hQ1jzgRg/fq1DicR\n", "EfHNBRdcwL333uV0jJCUkXGIlSuXH7etdu3atGnT1qFEIuHLDf088d2oUc+yceNP3HdfHzp2vNDp\n", "OCJ+VerA1hhzHvAz8GHRz0/GmPaBDuZPZ57ZCoD163WerYiEj9mzv2LmzBlOxwgpu3fvokmTBlx5\n", "5SXHbV+z5meHEomENzf088Q3ixcvYvLk/6NJk6Y8+uiw0h8gEmZ8WTxqAnC3tba5tbY50KtoW9go\n", "nrHVAlIiEm769dOCpcWysrJo27bF77Y3bNhIhyCLlF/Y9/OkdFlZWQwc2AeA8eMnU7VqVYcTifif\n", "LwPbatbar4vvWGtnA9UDF8n/atWqRWJiHdat06HIIiLhJjc3l9mzv2THjl+O2/766//i66/n8uWX\n", "3zoTTMQdwr6fJ6UbOfJpfv55I/fd15cLLujodByRgPBlYJtpjOlcfMcYcxm/rZoXNlq1as327ds4\n", "cGC/01FERKQMxowZya239qBTp9+Ojrzqqmu47ro/0rbt2br+osjpcUU/T05t0aKFTJkyqegQ5Cec\n", "jiMSML6sijwAeM8Yk1N0vxLQI3CRAuOss85hzpxvWL16FRdffEnpDxARCRGzZ39Zoa8zOGfO7OPu\n", "t2/fgZEjn3cojYjruKKfJyeXmZnJgAH3AzBhwss6BFlczZdVkX8AmgE3Fv00t9b+GOhg/lZ8mZ9V\n", "q1Y6nEREpGxuvbUHWVlZTsdwRH5+PsuWLT1u2xdffE1KSkOHEom4i1v6eXJyI0cOZ/PmTdx/f3/O\n", "P/8Cp+OIBJQvhyJD4cxuDpAPNDPGtApcpMA466yzAX53iQgRkVA1f/6So7ffe+8/DiZxRnZ2Nmec\n", "kXTctgEDhjiURsTVwr6fJ7+3cOF8pk6dTLNmzXnkkcedjiMScL5c7qcfsBv4CvjsmJ+w0qhRE2Jj\n", "41ixYpnTUUREfJKUlMTgwQ8CMGTIA+zY8avDiYJn4cIFNGxYhyNHjgDQt+8Adu9O5/HHn3I2mIjL\n", "uKWfJ8fLzMxk4MC+eDwexo9/iZiYGKcjiQScL+fYPgi0sdZuDXSYQIqIiOCcc85l7tw5HDyYTlxc\n", "DacjiYiUyOPxMHDgg4wdW3g+aZ8+9/DRR184nCrwjhw5QrduVx+37cEHH9ElfUQCwxX9PDneiBH/\n", "YPPmTfTtO4AOHXQIslQMvhyKvNMtxe7ccwtX1Fy+XLO2IhIOPMct9LFgwffs37/PwTyB98EH75Kc\n", "XPvo/fHjX+Ljj/9L9eq6+ohIgLimnyeFFiz4/ughyH/729+djiMSNL7M2H5pjBkNzACyizdaa8Pu\n", "orDnnNMOgGXLlnDJJZc5G0ZExEf9+g1k0qTxAHTvfh1z5ix0OJH//fLLdtq1a33ctqVL15CcnOJQ\n", "IpEKwzX9PIHDhw8zYEAfIiIimDBhsg5BlgrFl4FtT8AL3HzC9sb+jxNY7doVztieuMKmiEgoKj70\n", "9sknn+bw4Qxef30ae/fudTiV/+Xn5/9uUPvxx7M0qBUJDtf08wSeffYptm7dQv/+gzjvvPOdjiMS\n", "VKUObK21jYKQIyjq1atPUlJdli1bUvrOIiIh5LnnXuD116exZ89ufvhhkavOmfrf/2Ydd3/SpKl0\n", "7HihQ2lEKhY39fMquvnz5/HKK1No0cLw8MOPOR1HJOh8mbF1DY/Hw7nntmPWrM/ZtWsndevWczqS\n", "iFQgxph44BWgNYUzJHdba095XPGxiyVFRPy2JELXrl3Yvj2VypUrBy5sEKxatYL77+/FTz9tOLpt\n", "x459REVVqH+aRFynrLVOTl/xKsjFhyBXqVLF6UgiQefrdWxdo3gBKR2OLCIOGA98bq09EzgLWFfS\n", "zieuAtyo0W9HBs6cOSMA8YLnyJEjXHHFH44b1AIa1Iq4Q5lqnZy+UaOeZevWLfTp8wDt2p3ndBwR\n", "R1S4ge2xC0iJiASLMaYG8Adr7asA1to8a216WZ7jiSeGH729fv1aFiz43r8hg+jDD9/73bYhQx52\n", "IImI+JM/ap2UzdKlPzJlyiQaN27CQw896nQcEcdUuK/GzznnXACWLtXAVkSCqjGQaox5DTgbWAIM\n", "tNZmnuoBJ87YXn/9DUyb9ia9et3J1KmTmTp1Mv/610yuvPLqUzxDaPnhh0Wkpx9g6NCB7Ny54+j2\n", "IUMepkuXq49+8SgiYa3MtU7K78iRIwwe3J+CggJefPH/jrtEnEhFU+LA1hhzMdAQmG2t3XXM9p7W\n", "2umBDhcICQk1adKkKStWLKOgoOC489ZERAIoCmgH9LfW/mCMGQc8Agw71QMSE2N/d55Uly6XHnf/\n", "gw/+w2233eT/tH723//+l65drzlu28CBAxk3bpxDifwjMTHW6Qh+5bb2gDvb5C8B6ueVq9a5TbDa\n", "NHz4cNatW0vv3r3p3v26gL2O3qPQ57b2lMcpB7bGmCFAHwrPixhnjOljrS0+dmwQEJYDWyg8HPn9\n", "92eyefPPNG3a3Ok4IlIx/AL8Yq39oej+uxR29k4pLS2DypVzj9sWFVX9uPszZ87kk0/+R8eOnfwY\n", "1X+8Xi9DhjzA22+/8bvf3XDDLaSmHnIglX8kJsaGdf4Tua094N42+UMA+3llrnVufI+C0SZr1/PM\n", "M89Qr159Hnro8YC9plv/jtzUJre1B8pX60qarrwbaG+t7QZcAjxrjPlrObOFlOLr2S5evMjhJCJS\n", "URTNhmw3xrQo2nQlsKaszxMVFcUtt9x23LZu3a7m3Xf/ffoh/cjr9bJ8+VIGDer3u0Htu+9+zIwZ\n", "79OmTVuH0okIAern+avWScny8/MZNKgfubm5jB49lri4Gk5HEnFcSQNbr7X2IIC1dj3QGRhqjOkd\n", "lGQB9Ic/XAbAt99+7WwQEaloHgDeNsasoHCl0BEl7XziObbFxo6dyKJFy7nxxpuPbuvb914/xjx9\n", "f/7zn7jqqst45523jm5r1aoNP//8C5dcchmXX36lg+lEhMD288pU66Tspk2bwpIlP/CnP/Xg6quv\n", "dTqOSEgo6RzbHGNM3eJzLqy1O40xlwNfAmF9/G7LlmdSr1595sz5hvz8fCIjI52OJCIVgLV2BdDB\n", "1/1PNbCNjo6mceMmvPzyNGJj45g+fRoAV155CV999Z1fspaH1+tl3rzv6NHj+t/9rlGjRnz99VzV\n", "W5HQEbB+XllrnZTN1q1bGDFiODVr1uSZZ0Y7HUckZJQ0Y/s0hQsKHGWt3QNcDkwMZKhA83g8XH75\n", "lezbt48VK5Y5HUdEpNzGjBnL44//A4CVK5fz008b8Hq9Qc+xfv06unbtctJB7Vtv/ZvNmzdrUCsS\n", "Wlzbz3Mzr9fL0KEDyczM5JlnRpGYmOh0JJGQccqBrbX2I2vt4pNs3wtkBzRVEBQfBjd79lcOJxER\n", "OblTzdieqGvXPx69fdFF55GUVIOHHhoc1AHuJZdcwI8//u6fDHbu3M9VV+kwOZFQ4/Z+nlvNmPE2\n", "3333DVdeeRU9etzidByRkFLea92UuriAMSbFGPONMWaNMWa1MWZACft2MMbkGWNuLGeeMvvDHy4l\n", "IiJCA1sRCXtNmzZnxYr1x22bPn3a0QFuoOzbt5eOHc/93WvUqBEPwLBhT2uWViQ8uWKxULfZvXs3\n", "w4Y9RrVq1RkzZpzPX36KVBSBvIhrLjDYWtsa6Aj0M8aceeJOxphIYBQwCwjaX2h8fALt23dg6dIf\n", "OXBgf7BeVkTEZ2XptNSrV5/evfv+bvv06dMYPLg/mZmZjB07hjVrVpc7z+bNm8jJyeHHHxczYcJY\n", "WrZszKZNPx89xxegV6/72LBhK59++iV9+z5Q7tcSEZHjPfrog6SnH+CJJ/5BgwbJTscRCTklLR51\n", "WooWIyhekCDDGLMOqE/h9dKO9QCF1zgL+iIDl19+JT/8sIjvvvuWbt3+FOyXFxEpUVm/jX/66ee4\n", "7rrrueGG4w/9ffvtN45ecmfkyKfZs+fgKZ9j+fKlrF27httvvxMoPG93wYLvWb9+3UmvRXusuXMX\n", "Y0xLAM4//4IyZRcRkVP75JOP+PTTj7jggk7cdVcvp+OIhKRTDmyNMTNLeFzNsryIMaYRcC6w6ITt\n", "DYAbKFyooAMQ1BVPLr/8SkaNepbZs7/SwFZEXKFTp4tYsmQ17du3OeU+H330Pq1bt6VZs+bs3r2L\n", "v/zlFlauXM7w4SMYNuwxAK666lp+/XU7XbpcWupr9u7dj/79B5KUVNdv7RCRwPJnP08C68CB/Tzy\n", "yFAqV67M2LETiYgI5AGXIuGrpBnbzygcaJ5syuBTX1/AGFOdwhnZgdbajBN+PQ54xFrrNcZ4TvFa\n", "AXPWWedQs2ZNZs/+Cq/Xq3MVRCSklLcmpaQ0ZMaM99i1axeDBvX73e/vvfcuAB566FHGjBl5dHvx\n", "oBbgyScfY+bMGSW+zvDhI+jU6SLOPvvccuUUEUf5pZ8ngffkk38nNXUPjz/+FM2ahfUVN0UCyhPI\n", "VTONMdEUFscvrLXjTvL7TfxWUGsDmcC91tqPS3havwa+/fbbeeedd1i1ahVt2px6hkNEQprrvpXy\n", "eDze3bvT/faF25gxI48bxJ6uRx55nCFDHvZ5/8TEWFJTD/nt9UOB29rktvaAa9vktnrndeF75LfP\n", "3bffzuaWW7rTtu3ZzJo1m+joaL88b1m49O/IVW1yW3ugfLUuYOfYFs3ATgPWnmxQC2CtbXLM/q8B\n", "n5QyqAXw6xt34YWX8s477/Duux+RlHSG357XVy79ILqqTW5rD7ivTYmJsU5HCAh/HkXy4IOPnHRg\n", "GxdXg6ysTHJzc0t8/P339yclJYXbbruTgoJ84uJq+C2biIj83uHDh3nwwYFERkYybtxERwa1IuEk\n", "YANb4CLgDmClMWZZ0bbHKLoYuLV2SgBf22eXXXYFUHg92379TnlFIhGRsObxePj++x/56KP3ueaa\n", "rqSkpBAVFU1UVBSVKlVi7do1fPbZx9x/fz9atmxMXl4eM2d+xPnnd2T16pV06KDFoEREgum5555m\n", "27atDBgwhLZtz3Y6jkjIC+SqyPMow+WErLWOXDMtKSmJtm3PZtGi+Rw+fJhq1ao5EUNEJOCaN2/B\n", "gw8+ctLftW7dhtatC0/HWL9+M5GRUUfroQa1IiLB9eOPi5k6dTJNmzZj6NC/OR1HJCyUtCpy1ZIe\n", "aK3N9H8cZ3TufAWrVq3gu+++5dpruzodR0TE0cXsdJixiPtVpH5euMnJyWHw4P54vV7Gjp1ITEyM\n", "05FEwkJJM6oZJfy45+Q8ODqY/fTTjxxOIiIiIhIUFaafF27GjXsea9fz17/eQ8eOFzodRyRsnHLG\n", "1lobAWCMeQLIBqZSuPLoPUDloKQLknbtziM5OYVZsz4nJyeHypVd1TwRCUO6/JiIBFJF6ueFk7Vr\n", "1zB+/As0aJDM448/5XQckbDiyzmwN1prx1hr0621B6y1zwM9Ah0smDweD3/84w0cOnSQOXNmOx1H\n", "REREJFhc388LF/n5+Qwe3I+8vDzGjBlLbGyc05FEwoovA9sqxpijV4M2xjQDXHewf7du3QF4//13\n", "HU4iIqIZWxEJmgrRzwsHU6dOZtmypfTocQtXXnm103FEwo4vqyL/HVhgjFladP9c4L7ARXJG+/Yd\n", "aNasOZ999jH79+8jIaGm05FEpALTwFZEgqRC9PNC3ebNm3juuaepVasWzzwzyuk4ImGp1Blba+37\n", "QGtgIvB/QGtr7QeBDhZsHo+Hv/ylJzk5Obz33n+cjiMiIiIScBWlnxfKvF4vQ4cOICsrixEjxlCr\n", "Vi2nI4mEJV+vMxsPeKy1nwBZxhhXTmfecsttREVF8eab0/F6vU7HEZEKTDO2IhJEFaKfF6refvsN\n", "5s37jquvvpbu3XV6s0h5lTqwNcbcBXwEjC3a1ABw5ZRmYmIi11zTlXXr1rBs2RKn44iIiIgEVEXq\n", "54WiXbt28tRTjxMbG8eoUS/qS02R0+DLjO0goAOQDmCtXQ/UDWQoJ91xR08A3nzzdWeDiEiFps6N\n", "iARJhernhRKv18vDDw/h4MF0hg0bTv36DZyOJBLWfBnYHrHWnnih7vxAhAkFl17amTPOaMR77/2H\n", "tLQ0p+OIiIiIBFKF6ueFkk8++ZBZsz7jwgsv5s4773I6jkjY82Vgm2aMMcV3jDF3ANsDF8lZkZGR\n", "3HdfH7Kzs5k+fZrTcUSkgtKMrYgESYXq54WKffv28sgjD1KlShVefHECERG+LnsjIqfiy1/RYOBf\n", "QAtjzFYKl4UfFNBUDrvttjuIjY3j1Vf/SU5OjtNxRKQC0sBWRIKkwvXzQsETTzxKWloqDz/8d5o0\n", "aeZ0HBFX8OVyPxa4gMLzL64D2lhrNwY6mJOqV4/ljjt6kpq6hw8+eNfpOCIiIiIBURH7eU776qv/\n", "MnPmDM4++1zuv7+f03FEXMOXVZG7ANWttWuttWuAWGPM5YGP5qx77ulNREQEU6a8REFBgdNxRMQl\n", "jDGRxphlxphPStpPM7YiEgyB6uf5WusqmkOHDvLgg4OIiopi3LhJREVFOR1JxDV8ORR5DHDwmPuH\n", "gBcCEyd0pKQ0pHv3G1mzZpVWSBYRfxoIrAV0sWwRCQWB6uep1p3E8OFPsmPHrwwcOJTWrds4HUfE\n", "VXw6U91aW3DM7XxfHxfu/vGPEVStWo3nn3+OzMxMp+OISJgzxiRTeKjfK0CJU7KasRWRYPF3P68s\n", "ta4i+f77uUyfPo2WLc9k8OCHnI4j4jq+FK5DxpiOxXeKbh8OXKTQkZRUl3vvvZ/du3cxYcKLTscR\n", "kfA3FngI0PkNIhIqAtHPU607QWZmJoMH9yciIoJx4yZRqVIlpyOJuI4vA9uHgQ+MMV8bY74GPgCG\n", "BjZW6Bg4cAj16tVnwoQXWbhwgdNxRCRMGWP+COyx1i7DhxkMzdiKSJD4tZ9X1lpXUYwa9Sxbtmym\n", "d+9+tGt3ntNxRFzJ4/WWfuqDMaYm0Kno7gJr7b6ApiqZNzX1xOuIB9b8+fPo0eN6EhISWLBgKTVq\n", "xPvtuRMTYwl2ewLNbW1yW3vAfW1KTIwN+c6TMWYEcCeQB1QB4oD3rLX/72T7x8bGeg8dcs97JCJ+\n", "4/d6589+XllrHRXgHNzFixfTqVMnmjRpwooVK6hatarTkUTCQZlrXakDW2PMSf/6rLVOnXQa9IEt\n", "wNixYxg58mn69h3AU08947fnddsAA9zXJre1B9zXpnAY2B7LGHMp8KC19vpT7RMbG+vdtGlHEFMF\n", "lts+c+C+NrmtPeDaNvm13gWyn+dLrcOhfl0gHfu5y8nJoUuXS1i/fh0ffvg5F154scPpys6lf0eu\n", "apPb2gPlq3W+HIqccZIfd/2f80GfPg+QktKQf/5zMps3b3I6joiEvxK/VdShyCISJIHu57l+RrYk\n", "48Y9z/r16+jZs1dYDmpFwkmpF8+y1h4d/BpjqgC3A7UDGSoUValShSee+Af33fdXnnjiEd5889/q\n", "eIpIuVhr5wBznM4hIhLIfl5Fr3Vr1qxm/PgXaNAgmWHD/uF0HBHXK9Ny7tbabGvtq8AtAcoT0m64\n", "4UYuvvgS/ve/Wbz22itOxxERF9MXZyISbBW9n+dPeXl5DBrUj7y8PJ5/fhyxsXFORxJxvVJnbE84\n", "9yICOB+oEbBEIczj8TBp0lQ6d76QJ598jJYtz9RhJSISEBrYikgwqJ8XGJMnT2TFimXcfPOtXHHF\n", "VU7HEakQynqO7X5gEjAgkKFCWb169Zk0aSr5+fncffcd/PrrL05HEhERESkv9fP8bMOGDYwZM4La\n", "tRN5+umRTscRqTDKdI6tFLriiqsYMWIMDz88mJ49b+c///mAmjVrOR1LRFxEM7YiEgzq5/lXQUEB\n", "vXr1Ijs7m0mTpqp/KBJEpxzYGmNalfRAa+1a/8cJHz173s3ixQt5991/c9NNN/D++58QH5/gdCwR\n", "ERGRUqmfFxivvfYK8+bNo2vXblx/fXen44hUKCXN2H5O4RLtHqAhkF50Px7YCjQOeLoQ5vF4mDBh\n", "MjExMbz55uvcdNMNmrkVEb/RjK2IBJj6eX62bdtWnnnmKRISEnjuuRecjiNS4Zzy8BNrbSNrbWPg\n", "E+DP1toEa21NClfK+zRYAUNZVFQUY8aM484772LlyuX86U9d2bNnj9OxREREREqkfp5/FRQUMHhw\n", "fw4fzmDcuHEkJSU5HUmkwvHlvIpLrbUzi+9Ya98FLglcpPASERHB88+P5557erNu3VpuuOEaduz4\n", "1elYIhLmNGMrIkGifp4fvP76NObOncPVV1/LnXfe6XQckQrJl4GtxxhztMAZYy6m8LAVKeLxeHj2\n", "2dH07z+In3/eSNeuXZg7t8Jej1xE/EADWxEJEvXzTtPWrVsYPnwY8fHxPP/8eNVvEYeUuioy0BeY\n", "YYw5XHQ/BrgtcJHCk8fj4Ykn/kH16tUZPXoEPXpczx139OS5516gUqVKTscTERERORn1805DQUEB\n", "gwb1IzPzMGPGTCUpqa7TkUQqrFJnbK21c4EmwE1FP82stfMCHSwceTwehgx5mA8//JzGjZvw1lvT\n", "6dLlEpYtW+J0NBEJM/rGX0SCQf280/Paa6/w/fdzueaa67jppj87HUekQvP12mWRQDaQBzQtbYn4\n", "iq5jxwv5+ut59OzZi3Xr1nLttVfQvft1TJ/+KhkZh5yOJyIiInIs9fPKYfPmTTz99DASEhIYM0aH\n", "IIs4rdSBrTGmH7Ab+Ar47JgfKUH16tUZM2Ys7733CY0aNWb+/Hk89NAgmjRpQJs2zXnnnbfIyspy\n", "OqaIhCh1kEQkGNTPK5/fDkHOZMSIMVoFWSQE+HKO7YNAG2vt1kCHcaM//OFSFi5cxubNm5gx4y1e\n", "ffUV9uzZzcCBfXnhhdEMHPgAzZu3plWr1sTF1XA6roiECA1sRSRI1M8rh1dfncqCBd9z7bV/07Iw\n", "/AAAGVBJREFU5MYbb3Y6jojg26HIO1XsTl/jxk149NFhWLuFBQuWcOedd7F9+1aGDh1Kt27X0KZN\n", "c3r3/isLFy7A6/U6HVdEREQqBvXzymjTpp955pmnqFmzJmPGjNMXkSIhwpcZ2y+NMaOBGRSefwGA\n", "tXZtaQ80xqQAbwB1AC8w1Vo74YR9/gI8TOHS8oeAPtbalT63IMxERETQtGlzXnhhAoMGPcjixXNZ\n", "vnw1778/kw8+eI8PPniPunXrUadOEu3bn0fnzldSr1494uJqkJycQnR0tNNNEJEgUEdJRIKk3P28\n", "iujYQ5DHjp1InTp1nI4kIkV8Gdj2pHBQeuJxFo19eGwuMNhau9wYUx1YYoz50lq77ph9NgGXWGvT\n", "jTHXAFOBjj48d9hLSWlIu3b3k5p6iOHDR7Bw4XxeeWUK33zzNbt27WTlyuW89torxz2mZs2aVKkS\n", "Q8OGZxAdXYm1a1dRu3Yil112BfXq1SclpSFxcXEcOZJD+/YdqFmzlkOtC29er5f8/HxSU/eQkND0\n", "6PaDB9OpVq06kZGRDqbzP6/Xq4GUiEjFdDr9vArnlVdeZuHC+XTt2o3u3Xs4HUdEjlHqwNZa26i8\n", "T26t3QXsKrqdYYxZB9QH1h2zz4JjHrIISC7v64Uzj8dDp04X0anTRRw5coRt27by2Wcfk56ezv79\n", "+9i2bStbtmwmOjqaTZt+ZseOXwGoXLkye/fuxdr1J33eqKgomjVrTosWLYmJiSEzM5P69etzzjnt\n", "qFy5Ctu3byMqKpKqVatRr149UlNT2b59GxEREdSunUhycjLZ2TmkpaVy+PBhmjRpiscDCQk1Wb58\n", "Kdbao4/PycnmwIEDREdHkJfnZdu2rcTExLB16xaOHDlCvXr1yc09QmxsHGeffS6pqXuIi4sjIiKS\n", "7OxsKlWKplq16uTn55OcnEJ2djaLFy/kiy8+pUqVGBITE/F6vTRp0pSYmKpER0cTGVmYMyMjg927\n", "d3Hw4EEKCvJJSqrHeeedT3R0VNEstwfwUr16LJmZmezcuYPDhzOIjY0jLS2NxYsXkJ+fT9OmzcjP\n", "z+eHHxZx4MABAKKjo6ldO5Hc3FzS0lKJiYmhVq3a1KxZi7p161K7diIJCTU566yz2b9/P/Hx8WzY\n", "sJ5q1WLJzDxMevoBfv31V+rXr0+9eg2oVCma6OhK7Nq1k/T0A9SrV58aNeKPvmeRkZE0bHgGtWrV\n", "YseOHRw4sJ+9e/dy4MB+YmPjOHToILt376JJk6bExsZRpUoV4uJqEB8fT3R0NM2atSAqqnDgfeDA\n", "AVJT97B9+zbS09P55Zft7N+/j7y8HA4cOERGxiH27NnNxo0/ERsbR3JyCllZmVStWo1OnS4kKaku\n", "GzZYmjdvQUpKQ/bt20vjxk1ITm5ItWrVqFatGlWrViMyMpINGywHD6bTvn2HoB1Z4PV6OXToIImJ\n", "sUF5vWDSFw0iEgyn08+raH76acPRQ5BHjXpRdVokxJxyYGuMqWytzTHGVD3Z7621mWV5IWNMI+Bc\n", "Cgevp9IL+Lwsz+tGlSpVolmz5gwcOPSkvy/uzBcUFBAXV4O9e/fy1Vf/ZcuWTcTG1uDQoXRSU1NZ\n", "suRHUlP3sHnzJtavX3fS5wqGmJgYIiOj2LlzBx6Ph7y8PObOnePz42vVqkX9+sn8/PNPZGZmsm2b\n", "b6cCffHFp2XO+tNPG46737nzFWRlHeann37iyJFckpLqUq1aNQ4eTGfjxg2sXLm8zK8RaqpUqULN\n", "mrXIzc1lzZpVR7evXl3+MwIiIiK46KJLyMnJJiEhgUqVKhctkBaH1+tl165dREREEBERQYMGyTRr\n", "1pyDBw9SuXJlsrOzyc09wpEjR4iMjCQyMpKff95IVlYWtWrVIjm5Ib/+up20tDQ+/vgDNm/epPPS\n", "RUTKyN/9PLfLy8ujf//7yM7OZtKkf+oQZJEQVNKM7UIKB6IZJ/mdl8Jrnvmk6DDkd4GB1tqTPR/G\n", "mM7A3cBFpT2f22ZnytOeOnXijt5OSqpBq1Z9TrlvQUEBmzdvZuvWrSQlJbF06VLS0tI4fPgwLVu2\n", "xOPxsG/fPjZv3kzDhg2pWbMmGRkZpKenk52djcfjYefOnVSuXJk6deqQnp7OkiVLyM7O5vHHHyc6\n", "OpqIiAjy8/M544wzyMvLY//+/aSkpFC1auHMapUqVSgoKDj6u7Vr11KrVi2ys7PZsWMHCQkJxMYW\n", "zqbm5OSwc+dOABo1asRFF12Ex+PB6/WyadMmCgoKyM/Pp3LlykUzzNsxxlCtWjWSkpKIiIhg9erV\n", "LFq0iLp163Lw4EEyMjKIjIzk8OHDVKtWjYSEBFq0aEF6ejpRUVG0a9eOqlWrkp6eDkDVqlWpXLly\n", "qe/D0qVLWb9+Penp6WRlZREREUFaWhoJCQmkpKRQq1YtYmJi2L9/P9WqVSMzM5Pdu3cTExNDUlIS\n", "WVlZ7Nmzh6ioKDIzM4mNjeWbb75h165dJCcnU7duXSpXrkyzZs2Ij48nLS2N+Ph4cnNzyc/PJycn\n", "h6ysLNLT09m3bx/bt29n7969R/N5PB5atGhBzZo1iY+Pp2nTpiQnJxMbG8uRI0eoXbs2MTExREVF\n", "Hf2sbN++nZiYGH744QcyMjI466yzsNayatUqNm7cSP369UlPTycjI+PoT2ZmJsaYo5+NLVu2MHfu\n", "t8f9v/rkkw99/nz7Kioqik6dOvn9eUOBZgJEJMD81s+rCMaPf4Fly5Zy8823cv31NzgdR0ROwhPo\n", "mQ5jTDTwKfCFtXbcKfY5C3gfuMZau7GUp/Smph7yc0rnJCbG4qb2gPva5Lb2QODbtGPHr3i9XpKS\n", "6rJ//3527dpBWloaaWmpVKpUiZycHJKTU8jMPMyePXuwdj116iSRlZVJdHQ0MTExZGRkkJOTTY0a\n", "hV9CVK8eR2rqHjZt2khERCTnnHMuzZo1p169+iQmxrpuFNigQQPv8uUnP8UgHOnvKPS5rT3g2ja5\n", "rd6FfL9uxYplXHvtFdSpk8ScOQuOO33oZNz2uXNbe8B9bXJbe6B8tc6XxaPKzRjjAaYBa0sY1Dak\n", "cFB7hw+DWhEJA/XrNzh6OzExkcTERAfTiIiIlE92djb9+/cmLy+P8eNfKnVQKyLOCejAlsLDiu8A\n", "VhpjlhVtewxoCGCtnQIMAxKAycYYgFxr7fkBziUiEtJ0KLKIiPNGjnwaa9fTq9d9XHppZ6fjiEgJ\n", "AjqwtdbOAyJK2ece4J5A5hARERERKYv58+fx8ssTadq0GU88MdzpOCJSihIHnSIi4gzN2IqIOOfQ\n", "oYMMGNAHj8fDxIlTqFr1pItHi0gI0cBWRCQEaWArIuKcYcMeY9u2rQwaNJT27Ts4HUdEfBDoc2xF\n", "RAQwxqQAbwB1KLyUxlRr7QRnU4mI+Jcbat2sWZ/z9ttv0Lbt2QwZ8jen44iIjzRjKyISHLnAYGtt\n", "a6Aj0M8Yc+apdtaMrYiEqTLVulCze/cuBg3qS5UqVZg0aSqVKlVyOpKI+EgDWxGRILDW7rLWLi+6\n", "nQGsA+o7m0pExL/CudYVFBTQv39v9u3bx5NPPkPLlmEzHhcRNLAVEQk6Y0wj4Fxg0an20YytiIQ7\n", "X2pdKJk69SXmzPmGLl2u5u6773U6joiUkQa2IiJBZIypDrwLDCyazRARcZ1wq3WrVq3kmWeeonbt\n", "RMaNe0lfLoqEIS0eJSISJMaYaOA94C1r7Ycl7evxeEhMjA1OsCBxW3vAfW1yW3vAnW0KdWWpdeD8\n", "e5SZmUn//vdy5MgR3nhjOq1aNTnt53S6Tf7mtvaA+9rktvaUhwa2IiJBYIzxANOAtdbacaXt7/F4\n", "SE09FPhgQZKYGOuq9oD72uS29oB72xTKylrrAMffo7/9bQjr1q3j3nvv57zzLj7tPG773LmtPeC+\n", "NrmtPVC+WqeBrYhIcFwE3AGsNMYsK9r2qLV2loOZRET8Laxq3f/+9wWvvfYKZ57ZiieeGO50HBE5\n", "DRrYiogEgbV2HmVY10Dnd4lIOCprrXPSrl07GTSoH5UrV2by5GlUqVLF6Ugicho0sBURERGRCiU/\n", "P58+fe4hLS2NESNG06pVa6cjichpCotv1EREKhrN2IqIBM6LL47m++/nct1119OrV2+n44iIH2hg\n", "KyISgjSwFREJjO+/n8sLL4wiJaUh48ZNVL0VcQkNbEVERESkQkhLS+P++3vh8Xh4+eVpxMcnOB1J\n", "RPxEA1sRkRCkGQQREf8qKCigf//72L17F4899iQdOlzgdCQR8SMNbEVERETE9caOHcPs2V/RufMV\n", "9Os3wOk4IuJnGtiKiIQgzdiKiPjPV1/9l9GjR5CcnMKkSf8kIkJdYBG30V+1iIiIiLjW5s2b6NPn\n", "XipVqsSrr75J7dq1nY4kIgGg69iKiIQgzdiKiJy+w4cPc9ddfyE9/QDjx7/EOee0czqSiASIZmxF\n", "REKQBrYiIqfH6/UydOgDrFu3hp49e3HbbXc4HUlEAkgDWxERERFxnalTX+L999+lffsOPPvsKKfj\n", "iEiAaWArIhKCNGMrIlJ+8+fP46mnHicxsQ6vvvomlSpVcjqSiASYBrYiIiIi4hpbtmymV6878Xg8\n", "TJv2BvXq1Xc6kogEgRaPEhEJQZqxFREpu4MH07njjlvYu3cvo0ePpWPHC52OJCJBohlbEZEQpIGt\n", "iEjZ5OXlcc89PdmwwdK7d1/uuquX05FEJIg0sBURERGRsPf443/j229n06XL1Tz11LNOxxGRINPA\n", "VkQkBGnGVkTEdy+/PJFXX/0nZ57ZmilTXiUyMtLpSCISZBrYioiIiEjY+s9/3mHYsMeoW7ceb731\n", "b6pXj3U6kog4QANbEZEQpBlbEZHSffnlLAYO7Et8fDz//vcHpKQ0dDqSiDhEA1sRERERCTuLFi3k\n", "nnt6UqlSJd56ayZnntnK6Ugi4iBd7kdEJARpxlZE5NSWLVvC7bffRG5uLm++OYPzz7/A6Ugi4jAN\n", "bEVEQpAGtiIiJ7d8+VJuvrk7hw9n8PLL07jiiqucjiQiIUCHIouIiIhIWFi5cjk339ydjIxDvPTS\n", "P+nevYfTkUQkRGjGVkQkBGnGVkTkeKtWreSmm7px8GA6EydO4cYbb3Y6koiEEM3YioiIiEhIW7Zs\n", "CTfddD3p6elMmDCZm2++1elIIhJiNLAVEQlBmrEVESk0b9533Hhj4aB2/PiX+POfb3c6koiEoIAd\n", "imyMSQHeAOoAXmCqtXbCSfabAFwLZAJ3WWuXBSqTiIiTjDHXAOOASOAVa+2oU+3bo4fOGxOR8FSW\n", "WleaTz75iL5978Hr9fLKK2/wxz9281tOEXGXQM7Y5gKDrbWtgY5AP2PMmcfuYIy5DmhmrW0O3AdM\n", "DmAeERHHGGMigYnANUAr4LYTa+Kx/v73vwcrmoiI35S11p1KXl4eI0cOp1evO4mMjOLtt2dqUCsi\n", "JQrYwNZau8tau7zodgawDqh/wm7dgOlF+ywC4o0xSYHKJCLioPOBjdbaLdbaXGAGcIPDmURE/O20\n", "ap3X6+W7777l6qs7M3bs85xxRiM+++xLLr20c8ACi4g7BGVVZGNMI+BcYNEJv2oAbD/m/i9AMrA7\n", "GLlERILoZPXuAoeyiIgESplq3dixY9m7N519+/axc+evLFnyI9u3bwPg1lv/wvDhI4iPTwhsYhFx\n", "hYAPbI0x1YF3gYFFM7cnOnGFFG+gM4mIOEC1TUQqgjLVuiFDhhx3PyEhgR49buHee++nXbvz/BpM\n", "RNwtoANbY0w08B7wlrX2w5Ps8iuQcsz95KJtJfEkJsb6KWFocFt7wH1tclt7wJ1tCnEn1rsUCmcy\n", "TkW1Lgy4rU1uaw+4s00hrky1zuv1unIJeLd97tzWHnBfm9zWnvII5KrIHmAasNZaO+4Uu30M9Adm\n", "GGM6AgestToMWUTc6EegedGpGTuAPwO3OZpIRMT/VOtExBEerzcwR8cZYy4GvgNW8tthKY8BDQGs\n", "tVOK9iteOe8w8Fdr7dKABBIRcZgx5lp+uwTGNGvtSIcjiYj4nWqdiDghYANbERERERERkWAI5HVs\n", "RURERERERAJOA1sREREREREJaxrYioiIiIiISFgL+HVsy8sYcw2/LTzwirV21En2mQBcC2QCd1lr\n", "lwU3pe9Ka48x5i/AwxRe1/cQ0MdauzLoQX3ky/tTtF8HYAFwi7X2/SBGLDMfP3OXAWOBaCDNWntZ\n", "MDOWlQ+fu9rAW0BdCuvB89ba14Od0xfGmFeBrsAea23bU+wTNjWhmGpdaNc6cF+9U61TrXOCap1q\n", "XbCp1oV2rQP/17uQnLE1xkQCxasltwJuM8acecI+1wHNrLXNgfuAyUEP6iNf2gNsAi6x1p4FPA1M\n", "DW5K3/nYnuL9RgGzKCzsIcvHz1w8MAm43lrbBrgp6EHLwMf3qT+wzFp7DnAZ8IIxJlS/8HqNwrac\n", "VDjVhGKqdaFd68B99U61TrXOCap1qnXBploXFrUO/FzvQnJgC5wPbLTWbrHW5gIzgBtO2KcbMB3A\n", "WrsIiDfGJAU3ps9KbY+1doG1Nr3o7iIgOcgZy8KX9wfgAeBdIDWY4crJlzbdDrxnrf0FwFqbFuSM\n", "ZeVLm3YCcUW344C91tq8IGb0mbV2LrC/hF3CqSYUU60L7VoH7qt3qnWqdU5QrVOtCzbVuhCvdeD/\n", "eheqA9sGwPZj7v9StK20fUK1aPjSnmP1Aj4PaKLTU2p7jDENKPxjK/5mJdSvK+XLe9QcqGmM+cYY\n", "86Mx5s6gpSsfX9r0T6C1MWYHsAIYGKRsgRBONaGYal1o1zpwX71TrVOtc4JqnWpdsKnWhX+tgzLW\n", "hVAd2Pr6h3LiIRCh+gfmcy5jTGfgbuBvgYtz2nxpzzjgEWutl8L3KWQPVyniS5uigXbAdcDVwBPG\n", "mOYBTXV6fGnTY8Bya2194BxgkjEmNrCxAipcakIx1brQrnXgvnqnWqda5wTVOtW6YFOtc0etgzLU\n", "hVAd2P4KpBxzP4XCEXpJ+yQXbQtFvrQHY8xZFH7T0s1aW9K0vNN8aU97YIYxZjPQA3jJGNMtSPnK\n", "w5c2bQf+Z63NstbuBb4Dzg5SvvLwpU0XAjMBrLU/A5sBE5R0/hdONaGYal1o1zpwX71TrVOtc4Jq\n", "nWpdsKnWhX+tgzLWhVA9mfhHoLkxphGwA/gzcNsJ+3xM4QnSM4wxHYED1trdQU3pu1LbY4xpCLwP\n", "3GGt3Rj0hGVTanustU2KbxtjXgM+sdZ+HMyQZeTLZ+4jYGLRyfuVgQuAF4MZsox8adN64Erg+6Jz\n", "FgyFC16Eo3CqCcVU60Kf2+qdap1qnRNU60Kfap1qXSgqU10IyRnbopOc+wP/BdYC/7bWrjPG9DbG\n", "9C7a53NgkzFmIzAF6OtY4FL40h5gGJAATDbGLDPGLHYobql8bE9Y8fEzt57CVQBXUrgQxD+ttWud\n", "ylwaH9+nEcB5xpgVwFfAw9bafc4kLpkx5h1gfuFNs90Yc3e41oRiqnWhXevAffVOtU61zgmqdap1\n", "waZaF/q1Dvxf7zxeb6ieviAiIiIiIiJSupCcsRURERERERHxlQa2IiIiIiIiEtY0sBUREREREZGw\n", "poGtiIiIiIiIhDUNbEVERERERCSsaWArIiIiIiIiYU0DWxEREREREQlrUU4HEPcwxjwFPGutzS26\n", "/w9gjbX2PwF6vbuAccBqa+3FRdueB24EGgFtfLnQtjHmQmDSMZvqALuste2NMZWAxUBT4FZr7Wd+\n", "bYSIhCXVOxGpCFTrJJxoYCv+NAwYA+QCWGufDPDreYH/WWtvOWbbBxQWxLm+Pom1dj5wbvF9Y8wH\n", "xY+31h4BzjHGfFP0eiIioHonIhWDap2EDQ1sxS+MMcXfis03xuQDnYHxwA/W2klF3/i1BGKBFsAy\n", "YDSFxTIFeN9a+3DRc9UDJgANgRjgHWvtyJO8rKfo5yhr7fdFz3GyjBcAI4G4ok3DrLWfn7BPHeAq\n", "4L4yNF9EKhDVOxGpCFTrJNzoHFvxC2ttv6Kbnay17ay16RR+C3bsN2HtgFsBQ2EBfJbCQnMW0NMY\n", "07RovzeACdbaC4DzgOuMMVeeTj5jTDwwGbjdWnsecD0wxRhT44Rd/x/wX2tt6um8noi4l+qdiFQE\n", "qnUSbjRjK8E0y1p7CMAYsxJYXnTORq4xxgJNjTG7gMuA2sd8M1edwm8EvzqN174QaAx8cczzFlB4\n", "fsXSY/b7K/C303gdERFQvRORikG1TkKGBrYSLF4g55j7+Se5H0XhUQQFwHnW2nw/Z1hprb30VL80\n", "xnQEEoDPT7WPiIgPVO9EpCJQrZOQokORxZ8OAfEnbPOc8N8SFX3rNxd4tHibMSbFGJNUjjzHvuZ8\n", "oLkx5rJjnrfDCfvfDbxhrS0ox2uJSMWieiciFYFqnYQNzdiKP70AzDbGZFK4wAD8dh7GiedkcJL7\n", "xf4CjC06pAXgIIWFaXdpAYwxE4A/AUnAV8aYNGttW2vtAWNMN2CMMWYcUAn42RjTzVrrNcbEALcA\n", "5/vUUhGp6FTvRKQiUK2TsOHxerXKtYSnomuddbXW3hyE1/oGGHPiSnsiIsGgeiciFYFqnZwOHYos\n", "4SwTOM8YMy9QL2CMiTbGLKdwcYLsQL2OiEgpVO9EpCJQrZNy04ytiIiIiIiIhDXN2IqIiIiIiEhY\n", "08BWREREREREwpoGtiIiIiIiIhLWNLAVERERERGRsKaBrYiIiIiIiIS1/w+fYXxu3tu4/gAAAABJ\n", "RU5ErkJggg==\n" ], "text/plain": [ "<matplotlib.figure.Figure at 0x7f1f4a544690>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16,5))\n", "\n", "subplot(131)\n", "plot(time,[sqrt(sum(F**2)) for F in F_vals],c='black')\n", "xlabel('time [1e7]')\n", "ylabel('induced L2 norm of weight matrix')\n", "title('Induced L2 norm of feedforward weights')\n", "\n", "subplot(132)\n", "plot(time,[sqrt(sum(Wf**2)) for Wf in Wf_vals],c='black')\n", "xlabel('time [1e7]')\n", "title('Induced L2 norm of fast recurrent weights')\n", "\n", "subplot(133)\n", "plot(time,[sqrt(sum(Wd**2)) for Wd in Wd_vals],c='black')\n", "xlabel('time [1e7]')\n", "ylabel('induced L2 norm of weight matrix')\n", "title('Induced L2 norm of slow recurrent weights')\n", "\n", "show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The more (uncorrelated) inputs the network remembers, the more uncorrelated the firing rates will become. Ideally, after learning the rate covariance matrix should be proportional to the unit matrix." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAZUAAAFiCAYAAAA+zEWaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3X2UXXV56PHvZMgEEZTlLe9EgiU8EKsCtcjVequU2oAK\n", "eO0VqRbQqvQqNFJtC1pa27vamlYQkcpFgxTrC1hUGl8RtVq1SySIoCU+mEAICZBEepGF5GWSmfvH\n", "3lMOh5kzL+yzd7Ln+1lr1pyzz2/v33POnNnPeX6/vfcZGB0dRZKkKsxpOgBJUnuYVCRJlTGpSJIq\n", "Y1KRJFXGpCJJqoxJRZJUGZPKTiAivhkRlzYdx64iIkYi4n9WsJ0rI+I901znRRFxe0RsjYhvPNkY\n", "6hYRC8rX75hprPOScp1nVBzLxRHx/iq3qebt1nQAdYiI/YB3AS8HDgZ+BtwOfDAzv9xkbKVTgeGm\n", "g2hKRJxF8bfYa4qr7A889CT7DODVwCHTXPUDwK3AicCjZVJ6dWY+58nEM5GIWADcBTw/M39QwSbX\n", "Urx+D05jne8C+2fmf1bQf6e/A+6MiIsyc13F21ZDWp9Uyn/K7wI/B84HbqOo0E4ALgcWNBjbUGZu\n", "y8wntYOcLTper40VbO6twOcz8+fTXO+Xgcsyc30ZUwWhQETMAcjMkQmaDEyy/lBmbpusn3L703r9\n", "MnN4uutMcbsPRMS/AW8C3lP19tWM1icV4EPACMUnvUc7lmdE/NPYnYh4JsWn0N8sF90I/GFmro+I\n", "w4GfAM/NzB93rPMW4K8pPvmNAh8BXlreX1fef19mjpbt/xH4b8B3gHMpXv/9I+KbwI8y89yy3euB\n", "JUAAm4FvAW/PzPvKx18CfIMiMf4t8CvAHcBbMvPWjviOA/4GOBbYDtwCvD4z7y8f/xPgLcCBwCpg\n", "aWZ+YqIXsiv+twNPoUjM7wb+Ejgb2FE+54s61vsj4EyKHfJDwJeBd2bmz8vn8tGy3dgO9T2Z+VcR\n", "sQa4iqKaeBXwVeC0st3vZOZnI+L3gP8LHJOZWW7nb4HXAc/pkTROK/8Gnc9vwte9o2IA+GhEfBR4\n", "A/DnXbGflZkfi4inA38PnFK+Tj8A3pGZt5TtzwI+CLymbBfA8yj+jp3G+ry5TGDfzMzje7yXJnvv\n", "jD2P52fmD6byXupo80uZ+Z8dsZ8CXErxwez7wBszc03H63kBj71PrgPWAG/IzEM7nt+/AO/EpNIa\n", "rZ5TKceAfxv4h66EAkBmPly2m0Px5t4HeAlFYjgQuL5sdydwM8WOqtPrgGszcwfFa7kO+F/AERQ7\n", "2ndR7Hg6/QbFP+7LeCyBjZY/Y+YCFwLPBV4B/BLwqXGe4t8AfwIcQzGc8V8JISKeB/wrcCfwQuAF\n", "wCcpP0hExF+Xsb0VOJJih3JFRJw0Tj+d/gfFTv43gD8o+/9K+fxfSLFz+PuIOKpjnR0UO7pFwO9S\n", "JLkPlo99l2LH8yhFMt4feF/Hun9EsZP7VYrX83Ey858o/k6fjIi55Q7wHcDvTZRQIuIIYF+Kv2mn\n", "Xq/7WuCAMs4lZZzXAhcB2RH7pyNiAPhi2f7lwFHAvwHfiIj9O/rbHfgz4M0Uf4O144R7bPn7t8vt\n", "d84ljfdemup7p9uE76UJzKOo/M8C/juwN0VyByAiXkuRcC8ot3kncB6Pf59D8TdY2PW6aBfW9krl\n", "MIphg5WTtPtN4DnAszJzLUBE/C6wKiKOz8xvAB+n2FldUD7+TODXgT8FyMztwF90bHNtRPwqcDrl\n", "J/HSZopPdBPOoWTmVR1310TEW4E7IuLAsU+cpQsz81tlPH8FfKejzZ8AP8jMP+jcdNn2qRT/4L+V\n", "md8tH7snIl4AvA34Uo/X6iHgbWX1dWdEvAPYJzPfXT6+KiLOp3hNf1g+nw90vS5/SpEIzsjM4Yh4\n", "GBidYFjrm5n5vnGWd/rfFMOa/wAsBi4ae10msHAsls6FU3jdN0TEKPDzsVgj4hfA9s7YI+J4iqpj\n", "n8zcUi7+84h4JfB7FJUJwCBwTmd1OY6flb8fHOf1ecJ7aRrvnW693kvj2Y3iffDTcp338fj3+RLg\n", "qswcW/beiHgpj732Y8b+BguBB3rEp11E25NKz3HoDkcC940lFIDMvDsi7qP4dP0Nyk+lEfHizPw2\n", "RbK4KzO/N7ZORPwBxfjwMylK/rkUJX+nH/dKKOV2jqFIUM8DntHxPJ4JdP6T395x+/7y975lm6OA\n", "z07QxSKKT8k3lDvJMXOBu3vFBtwxNpxX2gD8v642GyiqvrHnczxFMj4CeDrFznRuROyfmb12JKPA\n", "ikniITMfjogzgW9STKL/2SSrPA3Y2j1/MY3XfTK/CuwBbOqac9kdeFbH/e2UiXeGnvBeehLPodd7\n", "aTxbxxJKxzpDEbF3OUcYwBVd63wfOLxr2cPl76f3iE27kFYPfwE/pdgxLXoS2xgFKD8l3shjQ2Cv\n", "4/HDTacB76f4tPYyin/qD1EME3R6wjBcp7KKuAF4BHg98HyKT98AQ13NO3coYzv6zr/pREl1rM0r\n", "yjjHfhaVsfeyvev+KE88cm10rI+IOIRiKOg/gN+hGAp5Yxlb9/MZzy+m0AaKoaAdFDvCyXZQPwfm\n", "jU2Ol3FO53WfzByKxPq8rp+gGJoas7UrQU/X495LT/I5TPZe6jbe+2CydcbztPK3B6u0RKsrlXJS\n", "8QbgnIi4NDMft4Pq+FS1EjgwIg7JzHvKx55FMa/SOXH6ceCyiPgIxVh25/j2rwM3ZeaHOrZ/GE8c\n", "Q57MERQTsO/qiOVXprkNKD6xHz/BY3cAW4EFmfnNaW53us/n+RQV0HkdByyc3NVmG0X1MiPlsN2f\n", "URya/RcUB0i8uscqq8rfz+SxSnKmr/t4sd8C7EcxpDdZ5TeV7TNOH+Op6r1ThZ9QzAf9Y8eyY3ni\n", "+2fskO5VqBVanVRKb6OYDF4RERcCP6L4lPxSionGQzLzxoi4HfhERCwpH/8gcEtm/mvHtq6nKOmv\n", "BL6fmZ3/CAmcGRGLgdXAaykmtbuHhsYzwGNVxVqKHf65EfEhiqG5/zP9p83fA9+LiCso5hq2Ai8G\n", "bsjMe8sx8PeVk8rfBvYEjgN2ZOZHJol1otjHa/NTik+v50XE58o+lnS1XwPsHhEnUAwH/SIzN0/l\n", "SUbEnhTJ/vLM/GJEJHBrRLyxYzy/WwKbKHZya8plM33d7wYOiYijgXuBhzPzaxHxXeBfyiPsxiby\n", "FwM3ZuZ3pvLcShsp5k4WR8RaYPPYASbjqOq9U4UPAFdFxM0UR6i9iuL17j7X5Vjgp5MMg2oX0vbh\n", "L8pPisdQDF0tpZjQ/TrF4ZBv72h6CsWO5l8p5lDuo/jk27mtzcDnKCb1P97V1RXApymOsPo+xafg\n", "i3j8J7Puo7yesDwzN1EcfnsqxZDRhYx/1MxE2xmL9TaKw0SPAL5X/ryG8pNvZl5IcaTWO4EfUxyu\n", "+yoeO4R1POPFP9GysThup0gif1Q+nzeWfXa2+XeKI4c+RbET/eMeMXT7ALCF4sAEykS/BLikrDaf\n", "oKyYrgFO7lg21de922coDmz4ehn7a8vlJ1G8jz5C8an9WorJ6PUd605a9ZUHgPwhxVzdesojEhnn\n", "dX8S752e76WZrJOZ11IktPdSHE69iOJvvLVrnZOZ2tFp2kUM+M2Pmo2imEG/iWII0PH8GpSV6pzM\n", "PKW8fwBFFbcoPaO+NWbD8Jf0BJmZEXEdRVXzl03H0zYR8RSKc6C+QjGp/2qKqqRzHvKdwDITSrtY\n", "qUiqXETsDnweOJri8Po7Ka7YcE2jganvTCqSpMq0fqJeklSfSudUDjzwwMbKnrvu6nXQUn/NnTu3\n", "kX5HRia6oG3/7dixo7G+BwameqGE6g0NTfc8yOoMDzfz7QhN/q3nzGnuc++8efP68kYbGBiY8X5y\n", "dHS0uTf/FFmpSJIq49FfklSjJivtOphUJKlGJhVJUmVMKpKkyjR58EEdTCqSVKO2VyrtTpmSpFpZ\n", "qUhSjdpeqZhUJKlGJhVJUmVmfVIpv8nwEoqvM12WmUv7HpUktVTbk0rPifqIGAQuo/ga1EXA6RFx\n", "ZB2BSVIbzZkzZ8Y/u4LJojwWWJWZazJzmOIrWE/pf1iSpF3RZMNfBwH3dtxfB7ygf+FIUru1ffhr\n", "sqTiN3hJUoVme1JZD8zvuD+folqRJM3AbE8qK4CFEbEAuA84DTi930FJUlu1Pan0nKjPzO3AOcAN\n", "wB3AtZm5so7AJKmNBgYGZvyzK5j0PJXM/DLw5RpikSTt4jyjXpJqtKucbzJTJhVJqtGuMow1UyYV\n", "SaqRSUWSVBmTiiSpMv1MKpNdADgijgCuAo4G3p2ZF5XLg+IyXGOeBVyYmZdGxHuANwGbyscuyMyv\n", "TBSDSUWSWqDjAsAnUJy4fnNELO86DeRB4Fzg1M51MzMpEg0RMadc/3Plw6PAxZl58VTiaPdhCJK0\n", "k+njeSqTXgA4Mzdl5gpguMd2TgBWZ2bndR+nXF5ZqUhSjfp4SHFVFwB+LfDJrmXnRsQZFFdZeUdm\n", "PjTRylYqklSjPlYqT/oCwBExBLwS+OeOxZcDhwJHAfcDF/XahpWKJNWojxP1VVwA+ETglswcm5Qn\n", "MzeO3Y6IZcDne22g0qRy1113Vbm5adlzzz0b63t4uNfwZPv6hWbPCh4aGmqs7y1btjTWd1OafL0f\n", "ffTRxvqeN29eX7bbx6QynQsATxTE6cCnOhdExAGZeX9591XAj3oFYaUiSS2QmdsjYuwCwIPAlZm5\n", "MiLOLh+/IiL2B24GngaMRMQSYFFmPhIRT6WYpH9z16aXRsRRFMNrdwNn94pjYHS0uu/h2rJlS2Nf\n", "6jUbK5WtW7c20i9Yqcwmc+fObazvJiuVvfbaqy8lxSGHHDLj/eQ999yz0585aaUiSTXyjHpJUmW8\n", "SrEkqTJWKpKkyrQ9qbS7DpMk1cpKRZJq1PZKxaQiSTUyqUiSKuPRX5KkylipSJIq0/ak0u46TJJU\n", "KysVSaqRcyqSpMq0ffjLpCJJNbJSkSRVxkpFklSZtieVdtdhkqRaWalIUo2cU5EkVabtw18mFUmq\n", "kZWKJKkyViqSpMq0vVJp97OTJNXKSkWSauTwlySpMiYVSVJl2j6nYlKRpBpZqUiSKmOlMg1z586t\n", "cnPTMjw83FjfBxxwQCP9rl69upF+odnXu0m77dbc57AdO3Y00u/mzZsb6Rdg3rx5jfWtmbFSkaQa\n", "9XP4KyIWA5cAg8CyzFza9fgRwFXA0cC7M/OijsfWAA8DO4DhzDy2XP4M4FrgEGAN8JrMfGiiGNpd\n", "h0nSTmZgYGDGP71ExCBwGbAYWAScHhFHdjV7EDgXeN84mxgFXpKZR48llNL5wI2ZeTjw9fL+hEwq\n", "klSjOXPmzPhnEscCqzJzTWYOA9cAp3Q2yMxNmbkCmGj8erzMdTJwdXn7auDUns9vsiglSdXpV6UC\n", "HATc23F/XblsqkaBr0XEioh4c8fy/TJzQ3l7A7Bfr42YVCSpRn2sVEafZGgvysyjgROBt0XEi7sb\n", "ZOboZP2YVCSpHdYD8zvuz6eoVqYkM+8vf28CPgf8WvnQhojYHyAiDgA29tqOSUWSatTH4a8VwMKI\n", "WBARQ8BpwPKJwui8ExF7RMRe5e2nAi8Dflw+vBw4s7x9JnB9ryA8pFiSatSvQ4ozc3tEnAPcQHFI\n", "8ZWZuTIizi4fv6KsOG4GngaMRMQSiiPF9gU+GxFQ5IVPZOZXy02/F/h0RPw+5SHFveIYGB19ssNw\n", "j9mxY0d1G5umJs9SnY0nP46MjDTWd5MnxDX5Pmvq5McmT3QdGhpqsu++7P1f/vKXz3g/+cUvfnGn\n", "v8aLlYok1WjWX/srIuYDH6Moj0aBD2fmpf0OTJLaqO3X/prKsxsGzsvMZwPHURxq1n2WpiRJk1cq\n", "mfkA8EB5+5GIWAkcCKzsc2yS1DqzfvirU0QsoLgQ2U19iUaSWq7tw19TTioRsSdwHbAkMx/pX0iS\n", "1F5WKkBEzAU+A3w8M3ue+CJJmtisTyoRMQBcCdyRmZf0PyRJaq9Zn1SAFwGvB26PiFvLZRdk5lf6\n", "F5YkaVc0laO/voPXCJOkSlipSJIqY1KRJFXGpCJJqoxJRZJUmbYnFSfgJUmVsVKRpBp5mRZJUmXa\n", "PvxlUpGkGplUJEmVMalIkipjUpmGkZGRKjc3LcPDw431vXr16kb6PeSQQxrpF2Dt2rWN9T06OtpY\n", "302+x3fbbfZ9Bmzy9dbMzL53qSQ1yEpFklQZk4okqTImFUlSZUwqkqTKtD2ptPt6AZKkWlmpSFKN\n", "2l6pmFQkqUb9TCoRsRi4BBgElmXm0q7HjwCuAo4G3p2ZF5XL5wMfA/YFRoEPZ+al5WPvAd4EbCo3\n", "c0FmfmWiGEwqklSjfiWViBgELgNOANYDN0fE8sxc2dHsQeBc4NSu1YeB8zLzhxGxJ3BLRHw1M39C\n", "kWQuzsyLpxKHcyqSVKOBgYEZ/0ziWGBVZq7JzGHgGuCUzgaZuSkzV1Akkc7lD2TmD8vbjwArgYM6\n", "w57q87NSkaQa9XH46yDg3o7764AXTHcjEbGAYnjspo7F50bEGcAK4B2Z+dBE61upSFKN+lipPOmL\n", "4pVDX9cBS8qKBeBy4FDgKOB+4KJe27BSkaR2WA/M77g/n6JamZKImAt8Bvh4Zl4/tjwzN3a0WQZ8\n", "vtd2rFQkqUZ9rFRWAAsjYkFEDAGnAcsnCqPzTkQMAFcCd2TmJV2PHdBx91XAj3oFYaUiSTXq15xK\n", "Zm6PiHOAGygOKb4yM1dGxNnl41dExP7AzcDTgJGIWAIsohjaej1we0TcWm5y7NDhpRFxFMXw2t3A\n", "2b3iMKlIUo36eZ5KZn4Z+HLXsis6bj/A44fIxnyHCUauMvOM6cRgUpGkGnlGvSSpMm1PKk7US5Iq\n", "Y6UiSTVqe6ViUpGkGplUJEmVMalIkipjUpEkVabtScWjvyRJlbFSkaQazZnT7s/yJhVJqlHbh79M\n", "KpJUI5OKJKkyJhVJUmVMKtOwY8eOKjc3LU1Ofg0PDzfS79q1axvpF+Cwww5rrO977rmnsb5HRkZm\n", "Xd/btm1rpF+AwcHBxvrWzFipSFKNrFQkSZUxqUiSKmNSkSRVxqQiSapM25NKu68XIEmqlZWKJNWo\n", "7ZWKSUWSauQFJSVJlbFSkSRVxqQCRMQgsAJYl5mv7G9IktRebU8qUx3cWwLcAYz2MRZJ0i5u0qQS\n", "EQcDJwHLgHanWEnqs4GBgRn/7AqmMvz1fuCPgaf1ORZJar1+JoeIWAxcAgwCyzJzadfjRwBXAUcD\n", "787MiyZbNyKeAVwLHAKsAV6TmQ9NFEPPSiUiXgFszMxbsUqRpCetX5VKOfd9GbAYWAScHhFHdjV7\n", "EDgXeN801j0fuDEzDwe+Xt6f0GTDXy8ETo6Iu4FPAcdHxMcmWUeSNIE+Dn8dC6zKzDWZOQxcA5zS\n", "2SAzN2XmCqD7S6B6rXsycHV5+2rg1F5B9Bz+ysx3Ae8CiIjfAN6ZmWdM9swkSePr4/DXQcC9HffX\n", "AS+oYN39MnNDeXsDsF+vDU331E6P/pKkndOT2T93rzsw3vYyc3SyfqZ88mNmfgv41lTbS5KeqI+V\n", "ynpgfsf9+RQVx0zWPbhcBrAhIvbPzAci4gBgY68NeUa9JNWoj9f+WgEsjIgFwH3AacDpE7Ttzmy9\n", "1l0OnAksLX9f3ysIk4ok1ahflUpmbo+Ic4AbKA4LvjIzV0bE2eXjV0TE/sDNFKeIjETEEmBRZj4y\n", "3rrlpt8LfDoifp/ykOJecQyMjlY3TbJly5bG5lyavPLn1q1bG+l3cHCwkX4BDjvssMb6vueeexrr\n", "e2RkpLG+m3qPb9mypZF+odn3+B577NGXvf/73//+Ge8nzzvvvJ3+1A4rFUmq0a5yZvxMtfvC/pKk\n", "WlmpSFKN2l6pmFQkqUYmFUlSZUwqkqTKmFQkSZVpe1Lx6C9JUmUqrVSazMBDQ0ON9d2UKk9cna4m\n", "T0DcZ599Gut73bqpXkqpek2deDkb/7f6qe2VisNfklSjJq/+UQeTiiTVyEpFklQZk4okqTJtTyrt\n", "HtyTJNXKSkWSauREvSSpMm0f/jKpSFKNTCqSpMqYVCRJlWl7Umn3jJEkqVZWKpJUI4/+kiRVpu3D\n", "XyYVSaqRSUWSVBmTiiSpMm2fU2n3s5Mk1cpKRZJq5PCXJKkyJhVJUmX6mVQiYjFwCTAILMvMpeO0\n", "uRQ4EXgUOCszb42IAK7paPYs4MLMvDQi3gO8CdhUPnZBZn5lohhMKpJUo34llYgYBC4DTgDWAzdH\n", "xPLMXNnR5iTgsMxcGBEvAC4HjsvMBI4u28wp1/9cudoocHFmXjyVOJyol6QazZkzZ8Y/kzgWWJWZ\n", "azJzmKLyOKWrzcnA1QCZeROwd0Ts19XmBGB1Zt7bsWzKmdCkIkntcBDQmQjWlcsma3NwV5vXAp/s\n", "WnZuRNwWEVdGxN69gjCpSFKNBgYGZvwzidGphjDRehExBLwS+OeOxy8HDgWOAu4HLuq1cedUJKlG\n", "fZyoXw/M77g/n6IS6dXm4HLZmBOBWzJzbFKezNw4djsilgGf7xWElYok1aiPlcoKYGFELCgrjtOA\n", "5V1tlgNnAETEccBDmbmh4/HTgU91rhARB3TcfRXwo15BWKlIUo36dZmWzNweEecAN1AcUnxlZq6M\n", "iLPLx6/IzC9FxEkRsQr4BfCGsfUj4qkUk/Rv7tr00og4imKY7G7g7F5xDIyOTnUYbnJbt26tbmPT\n", "NG/evKa6Ztu2bY30W+XfbrqavH7RPvvs01jf69Z1jybUZ2RkpJF+h4aGGum3abvvvntfxqm+8IUv\n", "zPgf9xWveMVOf+akw1+SpMo4/CVJNfIyLdPQZJm8ZcuWxvrebbdmcnNTwyFN993kENRee+3VWN+P\n", "PPJII/02OdTZ5PusX0wqkqTKmFQkSZVp+5d0mVQkqUZtr1TanTIlSbWyUpGkGrW9UjGpSFKNTCqS\n", "pMo4US9JqkzbK5V2p0xJUq1MKpKkykw6/FV+deQy4NkUlz5+Y2Z+r9+BSVIbOfwFHwC+lJlHAs8F\n", "VvY3JElqrz5+SddOoWelEhFPB16cmWdC8SUwwM/rCEyS2mhXSQ4zNdnw16HApoi4CngecAuwJDMf\n", "7XtkktRCbU8qkw1/7QYcA3woM4+h+PrJ8/selSS1VNuHvyZLKuuAdZl5c3n/OookI0nSE/RMKpn5\n", "AHBvRBxeLjoB+I++RyVJLdX2SmUqZ9SfC3wiIoaA1cAb+huSJLXXrpIcZmrSpJKZtwG/VkMskqRd\n", "nNf+kqQazfpKRZJUnbYnFa/9JUmqjJWKJNWo7ZWKSUWSamRSkSRVxqQiSaqMSUWSVJl+JpWIWAxc\n", "AgwCyzJz6ThtLgVOBB4FzsrMW8vla4CHgR3AcGYeWy5/BnAtcAiwBnhNZj40UQwe/SVJLRARg8Bl\n", "wGJgEXB6RBzZ1eYk4LDMXAi8Bbi84+FR4CWZefRYQimdD9yYmYcDX2eSiwqbVCSpHY4FVmXmmswc\n", "Bq4BTulqczJwNUBm3gTsHRH7dTw+Xhn1X+uUv0/tFYRJRZJq1McLSh4E3Ntxf125bKptRoGvRcSK\n", "iHhzR5v9MnNDeXsD0JmEnqDSOZXh4eEqN7fL2LFjRyP97rZbc1NiIyMjs7LvRx55pLG+jzzyyMkb\n", "9cHq1asb6Rea3afsvvvufdluH+dURqcawgTLfz0z74uIfYAbI+InmfntzgaZORoRPfuxUpGkGvWx\n", "UlkPzO+4P5+iEunV5uByGZl5X/l7E/A5HruQ8IaI2B8gIg4ANvYKwqQiSTXqY1JZASyMiAXlV5Wc\n", "BizvarMcOAMgIo4DHsrMDRGxR0TsVS5/KvAy4Mcd65xZ3j4TuL5XECYVSWqBzNwOnAPcANwBXJuZ\n", "KyPi7Ig4u2zzJeCuiFgFXAG8tVx9f+DbEfFD4CbgC5n51fKx9wK/FRF3AseX9yc0MDo61WG4yW3b\n", "tq26jU1Tk+PsTZ3MNFvnVDZv3txY34ODg431PRvnVLZs2dJY33vttVdf/rFvv/32Ge8nn/vc5+70\n", "Z0568qMk1cgz6iVJlTGpSJIq0/ak4kS9JKkyJhVJUmUc/pKkGrV9+MukIkk1MqlIkipjUpEkVcak\n", "IkmqTNuTikd/SZIqY6UiSTWyUpEkaYqsVCSpRm2vVEwqklSjticVh78kSZUxqUiSKuPwlyTVqO3D\n", "XyYVSaqRSUWSVJm2JxXnVCRJlbFSkaQaWalIkjRFViqSVCMrFUmSpqjSSmXHjh1Vbm5ahoaGGut7\n", "8+bNjfXdlG3btjXWd5N/6zlzmvsctnr16kb6PfjggxvpF+Dee+9trO9+aXul4vCXJNXIpCJJqoxJ\n", "RZK0S4iIxcAlwCCwLDOXjtPmUuBE4FHgrMy8NSLmAx8D9gVGgQ9n5qVl+/cAbwI2lZu4IDO/MlEM\n", "TtRLUgtExCBwGbAYWAScHhFHdrU5CTgsMxcCbwEuLx8aBs7LzGcDxwFvi4gjysdGgYsz8+jyZ8KE\n", "AiYVSarVwMDAjH8mcSywKjPXZOYwcA1wSlebk4GrATLzJmDviNgvMx/IzB+Wyx8BVgIHdYY91edn\n", "UpGkGvUxqRwEdB4ut47HJ4aJ2jzu8L6IWAAcDdzUsfjciLgtIq6MiL17BWFSkaQa9TGpjE41hInW\n", "i4g9geuAJWXFAsUQ2aHAUcD9wEW9Nu5EvSS1w3pgfsf9+RSVSK82B5fLiIi5wGeAj2fm9WMNMnPj\n", "2O2IWAZ8vlcQViqS1A4rgIURsSAihoDTgOVdbZYDZwBExHHAQ5m5ISIGgCuBOzLzks4VIuKAjruv\n", "An7UKwgrFUmqUb/OU8nM7RFxDnADxSHFV2bmyog4u3z8isz8UkScFBGrgF8AbyhXfxHweuD2iLi1\n", "XDZ26PDSiDiKYpjsbuDsXnEMjI72HoaLiAvKzkYoMtQbMnPreG03b9481TG9ys3Gy7TMnTu3kX6h\n", "2cu0NPm8m7xMS1Mnzc3Wy7QMDQ315QXfuHHjjPeT++67705/5mTP/5DyKIA3A8dk5nMost9ra4hL\n", "krQLmmz462GKk2L2iIgdwB6UkzqSpOlr+2VaelYqmfmfFIePrQXuo5jU+VodgUlSG/XxkOKdwmTD\n", "X78MvB3+SK6TAAAFl0lEQVRYABwI7BkRr6shLknSLmiyWcfnA/+emQ9m5nbgs8AL+x+WJLVT2yuV\n", "yeZUfgJcGBFPAbYAJwDf73tUkqRd0mRzKrdRXA55BXB7ufjD/Q5KktpqtlcqZObfAX9XQyyS1Hq7\n", "SnKYKS/TIkmqjElFklQZr/0lSTVq+/CXSUWSatT2pOLwlySpMlYqklQjKxVJkqbIpCJJqozDX5JU\n", "I4e/JEmaIisVSapR2yuVSpNKk9/f/eijjzbW97x58xrpd2RkpJF+AQYHBxvru0lNvubDw8ON9Nvk\n", "98QfeOCBjfX9s5/9rLG+d2VWKpJUo7ZXKs6pSJIqY1KRJFXG4S9JqpHDX5IkTZGViiTVyEpFkqQp\n", "MqlIkirj8Jck1aifw18RsRi4BBgElmXm0nHaXAqcCDwKnJWZt/ZaNyKeAVwLHAKsAV6TmQ9NFIOV\n", "iiS1QEQMApcBi4FFwOkRcWRXm5OAwzJzIfAW4PIprHs+cGNmHg58vbw/IZOKJLXDscCqzFyTmcPA\n", "NcApXW1OBq4GyMybgL0jYv9J1v2vdcrfp/YKwqQiSTUaGBiY8c8kDgI6L9S2rlw2lTYH9lh3v8zc\n", "UN7eAOzXKwiTiiS1w+gU201lUmdgvO1l5uhk/ZhUJKkd1gPzO+7Pp6g4erU5uGwz3vL15e0N5RAZ\n", "EXEAsLFXECYVSapRH4e/VgALI2JBRAwBpwHLu9osB84AiIjjgIfKoa1e6y4Hzixvnwlc3ysIk4ok\n", "tUBmbgfOAW4A7gCuzcyVEXF2RJxdtvkScFdErAKuAN7aa91y0+8Ffisi7gSOL+9PaGB0dKrDcJPb\n", "unVrdRubpm3btjXV9az8kq4m+27yy+Ca1NSXdDX1/obGv6SrLyeUDA8Pz3g/OXfu3J3+Gi+z879T\n", "ktQXnlEvSTXygpKSJE2RSUWSVBmHvySpRg5/SZI0RVYqklQjKxVJkqbIpCJJqozDX5JUI4e/JEma\n", "IisVSaqRlYokSVNU6VWKJUmzm5WKJKkyJhVJUmVMKpKkyphUJEmVMalIkipjUpEkVWanOPkxIhYD\n", "lwCDwLLMXNpwSH0XEfOBjwH7AqPAhzPz0majqkdEDAIrgHWZ+cqm4+m3iNgbWAY8m+Jv/cbM/F6z\n", "UfVfRFwAvB4YAX4EvCEztzYblfqt8Uql3MFcBiwGFgGnR8SRzUZVi2HgvMx8NnAc8LZZ8rwBlgB3\n", "UOxgZ4MPAF/KzCOB5wIrG46n7yJiAfBm4JjMfA7FB8bXNhqUatF4UgGOBVZl5prMHAauAU5pOKa+\n", "y8wHMvOH5e1HKHY0BzYbVf9FxMHASRSf3Nt9vQogIp4OvDgzPwqQmdsz8+cNh1WHhyk+OO0REbsB\n", "ewDrmw1JddgZkspBwL0d99eVy2aN8lPd0cBNDYdSh/cDf0wxJDIbHApsioirIuIHEfGRiNij6aD6\n", "LTP/E7gIWAvcBzyUmV9rNirVYWdIKrNlCGRcEbEncB2wpKxYWisiXgFszMxbmQVVSmk34BjgQ5l5\n", "DPAL4PxmQ+q/iPhl4O3AAooKfM+IeF2jQakWO0NSWQ/M77g/n6Jaab2ImAt8Bvh4Zl7fdDw1eCFw\n", "ckTcDXwKOD4iPtZwTP22juKAhJvL+9dRJJm2ez7w75n5YGZuBz5L8fdXy+0MSWUFsDAiFkTEEHAa\n", "sLzhmPouIgaAK4E7MvOSpuOpQ2a+KzPnZ+ahFJO238jMM5qOq58y8wHg3og4vFx0AvAfDYZUl58A\n", "x0XEU8r3+gkUB2eo5RpPKuWnmHOAGyjedNdmZuuPjgFeRHG45Usj4tbyZ3HTQdVstgx9ngt8IiJu\n", "ozj6628ajqfvMvM2ikPmVwC3l4s/3FxEqouXvpckVabxSkWS1B4mFUlSZUwqkqTKmFQkSZUxqUiS\n", "KmNSkSRVxqQiSaqMSUWSVJn/D858PKQyYQHOAAAAAElFTkSuQmCC\n" ], "text/plain": [ "<matplotlib.figure.Figure at 0x7f1f49ef5550>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# compute covariance matrix\n", "X, R = vstack(X), vstack(R)\n", "covR = cov(R.T)\n", "fontsize = 14\n", "\n", "title('Covariance matrix (after training)',fontsize=fontsize)\n", "imshow(covR,interpolation='nearest', zorder=1)\n", "colorbar()\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fixed points of learning\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that we can simplify the learning rules above by introducing two auxiliary variables,\n", "\n", "$$\\dot{\\bf D} \\propto {\\bf x}_t{\\bf r}_t^\\top - \\alpha{\\bf D},$$\n", "\n", "$$\\dot{\\bf M} \\propto {\\bf r}_t{\\bf r}_{t-1}^\\top - \\alpha{\\bf M}.$$\n", "\n", "At any given fixed point, the synaptic weights are then given by (cp. with the learning rules above and (27) - (29) in the paper),\n", "\n", "$${\\bf F} = {\\bf D}^\\top{\\bf C}_x^{-1},$$\n", "\n", "$${\\bf\\Omega}^f = {\\bf M}^\\top{\\bf C}_r^{-1},$$\n", "\n", "$${\\bf\\Omega}^d = {\\bf D}^\\top{\\bf D} + {\\bf M}^\\top{\\bf M}.$$" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# auxiliary variables\n", "fD = dot(X.T,R)/alpha/float(R.shape[0])\n", "fM = dot(R[:-1].T,R[1:])/alpha/float(R.shape[0])\n", "\n", "# synaptic weight matrices at fixed points (inputs have unit covariance)\n", "F_fixed = fD.T\n", "Wd_fixed = dot(fM.T,pinv(covR))\n", "Wf_fixed = dot(fD.T,fD) + dot(fM.T,dot(pinv(covR),fM))" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA8AAAAFVCAYAAAAg4oZCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XmcTfUfx/HXzDDJ0qImS4W0fCnZ9y1CyE7akKgkWSJb\n", "kmjVXipUluxL/Vq0oBSRfafwlaxFlkqo7PP743tmusYMgzv33Lnzfj4ePXLPnHvO53uWzznfc77f\n", "742Kj49HREREREREJNJF+x2AiIiIiIiISCioAiwiIiIiIiIZgirAIiIiIiIikiGoAiwiIiIiIiIZ\n", "girAIiIiIiIikiGoAiwiIiIiIiIZQia/A5DQM8b0Bx4C4oB7rbWjk5mnEDASKA7ssNYWTMN4fgA+\n", "sNYO8D7nBkYDFYHzrbUxabXutGKMuRTYBVSz1s4OwfoqAUMAA8wF2gCbgNLW2mVpuN7Pgd3W2jZp\n", "tQ5vPf2BZtbaG9NyPZJ+hVtek9AyxjQCXgYKAGOAUcBM4FJr7R9puN4Trl9puJ73gUustQ3Scj0S\n", "vlKT407z/ffRMRRRjDHtgL7A5cBTwBbgTWttjjRe7wHgYWvtqDRezyxglbW2c7CXHfQKsDEmF9AH\n", "qAdcAewBVuF2yNRgr0/OjDGmCNAPaAwsAPalMOszwAFchervNA4r3vsvQXcgN1AM2J/G6/aNd2Kv\n", "ttZ2CsLi3gCWA3Vx+2sfbhv+HoRln0rSfZdWXsKVMdWCuX2V18KbX3nNGFMA2EgaP2hKb4wxm3Hn\n", "xivBmC+VhgPvAm/i9vFBIHdaVn49ocqBnYCoM/nCmWxf5bjwdgY57lRCdaxmSMaY48Bt1tqPgjFf\n", "KtZ3MfA28AjwIS7vHQM+P5flplKojqXGwJEz+UJqt29QK8DezcBc4C+gN7AS18y6Ju7tVIFgri/Y\n", "jDGx1trDfseRxq4BsNZOScV8n1hrt6Z9SMmue5m19uezXYAxJpO19mgQY0ppPeFyzFwNvGWt/TVg\n", "2i6/ggk2a+3fpP2DmGQpr6ULfue1M6qYQOhyVDLrjQaw1h5PMj2Yx0lqb4yCcgPl3QjmBL6y1u4I\n", "+FMk5cCzeRicqu2rHJcupDbHnUoUZ5GrgsnHvJfseo0xma21Z1TBOo3Ubt9g7If8QAzwhbV2Z8D0\n", "g0FYdliw1u49y6+edvtGxccHrwJvjPkSuBEw1tp/kvztAmvtPu/f+XBvc2p4f/4a6Jxw857Q3BF4\n", "1vsvDvgGuN9a+7sx5hbgMyBP4NNdY8xzQD1rbTHvc0XgeaA08CcwBeiVcCHx3hCtAf4B7gE2WWvL\n", "GWPqAa8C+XBP2oYCE4ACCTdOqVz2j7gLygPAcVyz3p7W2nhvnligP3A37m3dr8Dr1to3vb9fj3vz\n", "VQX419sGXZMc6En3wY3Aa7jmw/96cXWx1u7ztmu/gNnjk2te7D09CdTfWvuUMeZy4BXgFm/6POAR\n", "a+2GgO828Mp0PbADGA8MSEgwxpjLgPeAWribk6eArrgmZE95T6zzBaz7fWtt2zM4Zl4BnsAlhkbA\n", "ROBCa+1xY8w1wHrgHWvtQ973ngHKWWtreTeG7wHVcfvjF+/zywH77H3gEuB73BP5TNba3MaYMrjj\n", "5HpgrRfDZ6TQBNpbzj1JJhew1m41xlTF7feiuONnPO7YOilJB7yBCnQvMJuAN1PGmCeADkBRa+1u\n", "77sTgOu88h9NxTGdFRjsbee/vf1REdhzqibQ3vHUCbgVqAbsBh631o4LmCfF49b7e38CmkAH7IcZ\n", "QA8gK/AJrknOv6favinFeYr4ldciO68NxD1lzgfsBCYD/ay1h7zvXQm8BVQGsgBbve9OSmaZs6y1\n", "Nyez7gK48/FuoB1QHuhurR1sjGmDO4av8pY9BHgjYHteCAzE5bOLcV0b+ltrJxtj7iVJczdjTDXg\n", "W7ymvwnzALfjtvt1QAngC1xz8PxAE1zl8Y5zPQa8v1cNKH5K+yPF+YwxTYEBwLW468RQa+1zSZeR\n", "pLyBquEqcIHbYThQDpcTDxpjYoBZwJ/W2obess7p+pVCfAVw+74F8DBQCtiMyw1fB8x3yryftPlq\n", "sPaDtyzluAjIcd5y+gFtvbj+xJ3Xrb2/vc+Jx9B5wAvAncCFwApcXprr/X0B8LG19gXv81ivzHms\n", "tTu9e4I/gerW2nnJxFINdw7Ww53PxYAm1tovjTE9cbkwL7ABeCHJPUFebxvWBs7H3bt1tdbOSno/\n", "4M1/LwG5MJl7wnzARbhWhR1xD3duAQZba3um4tzfjDv383nbax8uT78c8PfAe9fNNpkuNqeazxjz\n", "IO5acCXuWvCCtXZY0mUElHdEwKR4oCDu/vVNa20OY0wU8BWAtbaW973suNaC06zXOi4V16BrgGG4\n", "/LkF10pzAu5+K9lm+AH7vgEuFxjcedXOBrSWOl2uN0la8gVrP0AQB8EyxuTEHahvJ02gAAEJNBr4\n", "FJcYq+F2Vl7czWugAkBz3EX/FtwF+1nvb9/gmuc0D1h/FO7EHON9vhGY7i23KNAU1+8r8IABaIk7\n", "cCoD93gJ/iNcki6Ku/F5kYAnqWew7BbAYaAC7oR7BLgj4O+jgFa4C2ghoDUumWCMyYOrxKwCyuAu\n", "ONmBT72ynsQYk82La5/3nSa4ZJoQ10u4hA4uOeZJbjnedIvrT5UbeMVLdDNxF5yquBu4HcAMY8z5\n", "3vprA2OBQbgk0ha4DQi8cXkfd5LWwN10tuLEp8ulcZWaSd66u5zBMXMV7oRohtsvs4DzvGXifXeP\n", "938Cps30/h2Nq/Q2x+2Px3FNwpJW7m4CiuCOyxpeQvkCl8RL4Z6gv8ypdQbm4/ZNbu+/X7yHDFOB\n", "pbhj6j7gLtwFOzlbcfvrH6CLt5zJycz3LPCTtz6MMfcADYG7vMpvao7pl3EXjaa4/VcCdyyk5ina\n", "AG/ZxXDNFEcbY0p5sZzuuE1JFdxxVgN3XjXxtgGksH1TEecJlNciO6950w/gzvFCuIdEd+LO/QSD\n", "cRXfarjj7REg4al0We//tb1lNk1h3Qmex237wrgyP4Db/3299T8K9PLiSNj/X+KO9Xu9ebpw5k/4\n", "s3jreMArwxZvejdcRaIU0CdIx0AT3Lk2gFPvj2Tn8/LCZFyTviK4fPqYMaZjCsuZC9zg/bupt6z5\n", "yczXCcjMf7n5cVzLmbbeeoNx/TqVF4HXcTnwa9z+z+utOzV5P7kmh+e8H5TjIifHGWOa4XLIQ7g3\n", "xvWBhcnN63kR92CsjbcdVgPTjBuHBdy9UbWA+W/CPcBOmFYR1zx10SnWAe4BXh9cJWiRMeZZb50d\n", "cLnweeAdY8ytXjmyAd/hKjKNcOf3k6dZR3IC7wmL8V/efBLXTLgIMDiV5z64/b0Sd0y/ALxojCnv\n", "/S3hPvN+3D4qk0JMyc5njGmCe1D5Kq68b3ix1U9hOROBOt6/y+COiW2BM3gV2HuA4saY7t7kQd52\n", "6O6t93TXoGjgY++75XHb5kncvXVqvIyrXJfGPQj8PKDOkJpcn1zeC8Z+CGoT6Gtwr5zXnma+Grgn\n", "jQUDnsjdDWwwxtxsrU14kpsJ18k/4ancu3gVEWvtMWPMRFySesebvxKu38p473MPYJK19jXv88/G\n", "mA7AMmPMpdbaPd70jdbaHgnBGWOeBzZYaxMOlp+MMdfxXwI/k2X/aK3t7/17g3eg1QAmGmOuxSXU\n", "Otbar7x5NuPeLIJLYCustY8FxNYa16ezNLA4mW17N+5NWCvrmoxiXAf5mcaYgtbajcaYv7xtmGLT\n", "MO/J3lHgQMJ8xpi23t/aBsTTHvfGpD7wAe6G4kX7X6f4TcaY3rgLWw9vO9YBKllr5weUKfENprV2\n", "jzHmMPBvwLprkbpjJtYr++6AGJcCN+MSdDXcRbG3cf2d9nvbsqe37qOcmGS3eifoXZx4gfwXaBvw\n", "ZLAd7saqjXcDsca4N8tjTrGN93nl/CdwX3jH0S/W2g4Js3rb8B1jTF9r7cEkyzkO7DTGxAN/BWyz\n", "pOs7boxpCaw0xrwIPAh0s9au92Y55TGNS5htvTJ+7a2jDamvVP7PWvue9+/njDHVcTcVrUjFcZvC\n", "Mv8C2ntJ3hpjPsCdXwNT2r5nQXktgvOaN/2ZgNm2etvqUf5745IPd/yu9j5vCZg/YZv8nsrjbJAN\n", "6JdkXMuMHgHTthhjXsDdfLyNe+BUHrjeWmuTWX9qxQAdrbXLA9YN7o31ywHTRnOOx4C19k9jzDFg\n", "/2n2R0rzdfPiShhUaoN3XPXC5e+kyzlijEnI+X+cIgf+Y4xpAcw1xvyBu9lqEFCmc75+ncZga+2H\n", "3ve64CqdD+HeTqUm7yfXfPWc9wPKcRGT43CtOXYAX3v3M7/gHqqcxKtktgfus14fb++e7mZcS4Un\n", "cJXQjl4lqCBwAa5iVh33kqIaMM+evklzf2vtjID1dgVqWe9NMy7vlfPW+6W3PXLhWqcltBTYfJp1\n", "JCe5e0Jw58eIgGmjOcW5H7C86dbawd6/3zLGdMYdFwu8e1eAvafJeynN1x0YnWT5pXB576Q+vda1\n", "YknYNrtPkfd2GGPuByYZ15robqCM9Vo44fbz6a5BhXGtKH7x1vEIMCelMibxVDL3jHfjxmw4o1wf\n", "4Jz3AwS3Apza9uyFge02oCmitXaTMWY77slLQhLdYk/s87IDuCzg81jgEWPMldbabbiEOstau937\n", "eyngamNM4FO7KNyThKv578YlaXIoxMkJKunTrdQsOx73BDBQYBlK4JrWzCR5pYCqxpik/X4Smjkk\n", "l0QLAysTEqhnvree60n9hTqleK5KJp7zvXgS5injJY4E0UAWr8JZ2IslcXta1+R3OydK+rQntcfM\n", "L4GJzjMLl6QH4t5WJiTv6rj9dDQwHu8CcD/upvd8XMV2c5Jl/mBPbI6csN0Dn54v4OwUTua7c3GJ\n", "/Brgh7NcbsK27oJ7i/G5tfadgD+f7pg+6MWQ+GbFWvu3MSahUoAxpg/wWMD3CyckTE5+I7MA1yQa\n", "zv64XeNVfhPswDXRCSbltcjOaxhjbsM9jLka96YmhhNbR70BDDXG1MG9wfrYnv2AV0sC1huHu/F/\n", "1xgzNGCewOtyCdxo1ZZzcxTXvDFQfGA8nmAcA+eqECff8M0FnjTGZLfWHjjbBVtrlxj39qk/7o3n\n", "9IA/n/P1y9uPLbyP8dbaCwKWFZg7440xC71lwtnl/WDtB+W4yMlxk3GtnzYZY6YD04ApNvn+0Vfj\n", "7m8SKqEJD8rne+sEV6k/D9fSpQiu0vMN/z28qIarsJ5OYJ65HtciZbpxD+4TZMZ17wC3jVfacx/A\n", "Lrl7wqTxwGnOfeuarid3XGzHtYgIhkK4ZsaB5uJa6p0Ta+2nxnV5exxX2V0Nqb4GFQZ+DbiXA3de\n", "JXb/McZMxbXEANfkOPDXOpK7ZwzMe58lCfd0uT5o+yGYFeCfcIFdj2smczYCT4ak/R3jCbgpsdYu\n", "N8asA1oYY17BNanpHjB/FK6d+GucLCHRxnPywDrxnP6CkJplp1SGM+kg/zknlinBqZ5qpLT8c+3s\n", "HY27gbojmb8lJKko3I3FB8nMsyfg38EcOS5wWckNkjQL9wSzEO7p5VJvWnXcdkx8euldFF/Dvf2Z\n", "h2uO1BHXHCnQSc3ECN7AEqc6RoKx3W7CjRKYz5w4cMjpjmmTzPSE7yUYgmuWk2AHpxZYnrMpc9Kn\n", "zifkiCBRXjtx2SmVIV3mNeOaTU3A5a1puKbNCT+nA4C1doR3M3kr7mn4PGPM8/bsfvYmcL8k7PcH\n", "cfnmbBzn5G2TOZn5DiV5WJRcPHBux0Awz7202t9RuObkx/AGFUqyzv6c2/XrCVyz0tRIWsazKXMw\n", "9oNy3InLTqkMYZ/jrLW/GPf6qwYuV72Cq0yUs8k0bz9FHMe95R0wrhVdddzxMRP3oCafMeZqAlrQ\n", "nUZyea8+rgtXoMDtfqrtndq8l9LAmcnlvf6c/txP67yXnHO+7zPGZME1BT6K62ubIBjXIHBdNrJ4\n", "/z7dgGKB++1s73eDsh+CVgG2bpCJ6bjKxqAkT7Iwxlxk3Whea4G8xpj81tot3t8K4vqSrDnD1Y7F\n", "PT38Edd85MOAvy0DitiUm0+mZB3uBihQ2SSfz3bZgVbgdtjNuL4fSS3D9c3YmormJQnWAG2SPDmp\n", "6K3ndM2bTmcpri/F79bav1KYZxnurV+y28W76EXj3tIlNCHLh9v3p3Iux8xc3BPMnsAc7wnnLNyT\n", "tt9w/a4SVAYWBjStSOj8f7oEtAZobYzJGnCRKX+qL3gOc/I5uBa43RgTFXDDWtmb96xHxYbEwQbu\n", "xl3MxuD63Tzq/fmUx7Qx5mdc0qmA90bca8pUBHcDhbX2T7x+UMmogHvznKA8/x2Tazm74/Z0+yW5\n", "7XtGlNfOWHrLa5VwT7cTm0kaN2jRCawb5Oc94D3jBm/pgutbmfAA6Yx/q9y6JtnbgWustWNTmG0Z\n", "kMcYU8hauy6Zv+8GshpjcgS8dSt+prEkWd+5HgPgtktqtkly863F7ZdAlYFtSc+/s9ANt32qAFON\n", "MZ2sN3ARQbh+eW+bknvjBC4HzvK+F4U7/xLGa1hD2uT90+4H5bgzFtY5zmva+iXwpXED/P3mLWtG\n", "kll/xh0flfHevBo3MFwF3P5JMAtXVoMb6OuQ13qhL6nr/5vUGuAQrkntrBTmWQa0NMZcYq1N7qcc\n", "d+OaSAc617yX4rl/Bo6QuryX3HxrcftiZMC0yrhz5Fy9hHtAcAvuzfsX1trPUnkNWgtcboy5IuAt\n", "cFlOfKiVtBVnoKT3jDfw371gWuX6VO2HYP8O8MO4CscS4/o2rcbV7qvj+tvkt9Z+bYxZBYzzmmNG\n", "4Tp+L7XWptSkJCXjcL/r+BSumUfg6/IXgAXGmCG4QXf245oY1LfWtvfmSa5PzVCgmzHmJVwl6Qbc\n", "SHWBHbHPdtkJ07HWrjfGTAaGedthOa4pQn7vQHwbN+jBJOPa4+/BNZ9pDjyaQtOAcbibstHGjQSY\n", "E9dU5X9ncWInjX0c7onmp96yt+FGqmuIG7VtA24/fG6M2YJ7knYUV0EqY63tZa21xphpuH5N7XDN\n", "al/F9alNuu7E9Z/LMRPwBLMl7hgENyjEFbjBOnoFzo6ryNbBXRzuxDWbTqlSl2A8rp/RCGPMU7gf\n", "JH/81F8BXFIoa4zJj3si+TtuwJ1HcIMfDMLt8+dxo/qd9dD2xg2y8h7wmLX2e2NMK+BbY8yX1tpv\n", "OM0x7W3H4cALxvW324HrI5nap25NjDGLcX2KbsNdUBNuTsbinr6e6XF7uifym0myfVN4C3Y6ymuR\n", "m9cs7uJ+N+7NRm3ceZ/IGPMG7obyJ1wrkrr8d1OyC5e/6hhjtgIHT/GAMDlPAm8aY/biHsZlBkoC\n", "ea21A3HNDRcC/zPGdPViuAbIaq391Pvb38DzxpiEAZY6nLyaVDuXYyDQZlwz0HHAYftf38rUzPcK\n", "sNgY8yTu7XwZXMX1sRSWkSrGmGK48+oua+0C4/p+DjfGfGOtXUPwrl8paW+MWY9rztwBd/0c4v3t\n", "bPJ+MPeDclwE5DjjRgaOwVVKD+Ba7B3Ge0gdyGuOOgR3Td+DO1a64pqSDg6YdRbu3u8ArqKYMK0v\n", "MPMMKvkJ691vjHkZeNl7EDQH1/WkPHDMurFCxuOOu0+Na5a8HXcu7vMqzTOBnMZ1u0roi9zsTOJI\n", "4pTn/im+l/RY2QzUNMbMwbW6SeneMbn5XgI+8O5Xv8aNN3A3J7dAPCPGmLq486CytXaxcaNjDzPG\n", "FLWuaffprkFf4x4ujfauQVlxLShSu98fT3LPeIj/+vunJtenJs+d1X4I6qt7a+0m3Ib7GpdoVuIu\n", "4I1wyT1BI9wTnJm4fiPbcSMqJkhu1C+STrOuL8r3uNH8xib522pc5aUA7mRdgRvR7bdTrcdbZjNc\n", "xW4F7kn/U7iNe/Bclp3MtHtwB8Ig3JOQkbgbLKz7LcNKuKYe03AXzbe8GA6RDGvtv7gbuAtwCfAT\n", "3EWtbZJZU1MJSLpd/sWVeSMuQazFPcW5CK+CaN2AEPVwF82F3n89OXHQlntxTxu/xTW3GsvJfWyT\n", "23Zne8yA20cJP3mBd0OxALctA59evoN7Ij/em54Pd4IGLje5Y+ZvXHOea3EXiBdx5T7ddn4Zd3Fa\n", "gxtM7ErvSVpdXB+Y5biBAsbjRlA8U4HrH4m7UXndi/l7XL/o940xF6fymO6O2/4f487rVbjRLlOj\n", "P+68WolrbnOvtXapF0tqjtuk2z0159dJ2zeVsZ5AeS2i89rnuBuP13H7tQbuIp20ef6buErvV7gL\n", "eWvv+0dxfe7ux/0Uysek7KT4rLXDvXK0wm3v2d6yNnp/j8flg7m4Y2EN7uYjs/f3P3Bv0mrhzsf7\n", "cTemye2j0wriMdAPd779jDv3UnLSfNYN1NUcd7yu9tb/vLX27dOEn+K5ZVwTwLHAOGvtJ956JuDe\n", "PI4z7rdAg3X9Sklv3M3dCtybmCYJb05SmffPJgemaj8ox0VMjvsT1xx1Nu7caQI0td4b+2TK0QtX\n", "gRyJO+6K4Ab3CjxW5nrfmRPwAHkWAfdUp5Fc3nsCd0/QHbd9vvJiTch7/+C6a/2C6yO6GldRS2ia\n", "vQ432Fg7/svbz3H68yNZqTz3Uypb4Doe9ZaxlRQGH0tpPu+BZifcQ4gfvX8/ZK39IhUxJDvNuD6+\n", "I4CnrbUJfc8H4o7ZEd56U3MNaoKrLy7E3fc/TQrHcjJ64+6jl+L6ndf3jvfU5vrU7Mez2g9B/R3g\n", "pLzX3YNxG2qWtXb8ab4SlrynfP2ttRf7HYtIemPcb6XeZgNGv4006THXKa+JpD3z3+8Al7ZnP3ha\n", "2EhPuU45TsQfJsnv0fscTrKC3QQ6qabAZGvtF8YNfR+2iTKQMeZh3Eh9u3HNMvpyYv9FEZFAYZ/r\n", "lNdEJAjCNtcpx4lIap1xBdgYMwLXVGCXDRjq2us3+TquWcQwa+0LuL6QK71Zjp17uCFzNa4N+iW4\n", "JhhDcE1pRCSDiMBcp7wm4o+0a2oXBBGU65TjRMJHWOe9s3kDPBLXH2p0wgRv5Li3cMOu/4rr1DwF\n", "l4CuxPVNSuuhwoPGWtsN11dHRM6RtTbdnPtJRFSuU14TCT1r7WbOYpTwEIuIXKccJxIevMHKwjrv\n", "nXHystbO4eRRccsCG6y1m621R3C/BdoI+AhoZowZDEw512BFREJFuU5EMgLlOhHJaILVB/hy3M/i\n", "JPgFSPjh7aSj2KUoPj4+Pioqtb81LiIZSLgkhqDkOoBnnnkmvm/fvsGMTUTSv4jLdVWrVo0/dOgQ\n", "hw4d4uDBg4n/P3jwIPv27eP48eMpfjdv3rxcddVVFCxYkCJFilC0aFGKFStG7ty50f2iSLrm6wkc\n", "rApwUNp5R0VFsXv3/mAsKmzExeVQmcJcpJUHIq9McXE5/A4hQdD6tOzZsyfi9lEklQcir0yRVh6I\n", "vDJFYq6bPXt2ivvo2LFj/PHHH+zc+Ru7du1k166d7Nixna1bt7B16xa2bNnM/PnzmTt37gnfu+SS\n", "S7j++hu54YYilC5dhlKlynD55VcEK+RTirRjDiKvTJFWHoi8Mvmd64JVAf6VE39j80rc00IRkUgS\n", "tFz3xhtvcORIPDVr3kLu3HmIi4vjggsu1FsNEQkHIbmvi4mJIS4ujri4OODGZOc5cuQI27ZtYc2a\n", "NaxZ8wM//vgDa9b8wJw5s5gzZ1bifHny5KVUqTKUK1eeKlWqUbjw9cqnIpKsYFWAlwDXer93tx24\n", "A7grSMsWEQkXQc11gwcPYvDgQYmfs2XLToECV3HNNddSsGBBLr44J9ddV4hrrrmWyy+/gpiYsB5T\n", "QkQiR9jc12XOnJmCBa+hYMFrqF+/YeL0Awf2s3r1KpYsWcySJYtYsmQRn3/+KZ9//ikAcXGXUaXK\n", "Tdx0U3WqVLmJK664MqVViEgGczY/gzQBuAm4xBizDehnrR1pjOkITMeN+jXcWrs2uKGKiIROWue6\n", "//3vf4wbN5F8+fKze/cudu/excaNP7N+/Tp+/HH1SfPHxsZSoMBV5MuXn/z5C1CkSFFKlCjFddcZ\n", "MmVK6590F5FIlV7v67Jnz0GFCpWoUKESAPHx8WzbtpV5875n9uxZzJ49i48++oCPPvoAgIIFr+am\n", "m6pTu/atVKpUhfPOO8/P8EXER1Hx8WH1M03xkdS+HSKvzT5EXpkirTwQeWWKi8sRie3Yks138fHx\n", "bNmymR07trN79y7WrVvLxo0b2LRpIxs3buSvv/aeMH/WrFm58cZilChRihIlSlKiRCny5y8Q8qZ/\n", "kXbMQeSVKdLKA5FXpoyU69J8pfHxWLuOOXNcZXju3O85cMDFkT17Dm6+uSa1a9elZs1buPjinKle\n", "bqQdcxB5ZYq08kDklcnvXKfXBiIiYSQqKooCBa6iQIGrAGjYsMkJf//rr71s2rSRlStXsHz5UpYv\n", "X8bixQtZuHB+4jw5c+akePGSFC9e0qsYl+Kyyy4LaTlERPwUFRVFoUKFKVSoMA888BBHjhxh0aIF\n", "TJv2JdOmfcGUKR8zZcrHZMqUierVa9CkyW3UqVOP7Nmz+x26iKQxvQFOY5H2xAYir0yRVh6IvDL5\n", "/aQwjQQt3/3999+sXr2S5cuXsXz5EpYvX8aWLZtPmOfyy6+gcuWq1Kx5C9Wq3cyFF14UlHUniLRj\n", "DiKvTJFWHoi8MinXhUbC2+Fp077gs88+ZfXqlQCcf/753HJLXZo0uY0aNWol20w60o45iLwyRVp5\n", "IPLK5HeuUwU4jUXaAQuRV6ZIKw9EXpn8TpRpJE3z3e+//87KlctYtmwpK1YsY9myJezZswdwI6+W\n", "LVuemjVrU7PmLRQqVPicm0xH2jEHkVemSCsPRF6ZlOv88dNP6/n44w/5+OMP+fnnDQBccMGFNG7c\n", "jFatWlOsWInEeSPtmIPIK1OklQcir0x+5zpVgNNYpB2wEHllirTyQOSVye9EmUZCmu+OHz/O6tUr\n", "mTHjK2bMmM6yZUtJyP9XXHElNWrcQu3adahSpdpZDQ4TacccRF6ZIq08EHllUq7zV3x8PKtXr+Sj\n", "j1xleMeO7QDceGMxWrZsTbNmzbn66isi6piDiDyPIqo8EHll8jvXqQKcxiLtgIXIK1OklQcir0x+\n", "J8o04mtYxoihAAAgAElEQVS+27NnD99++zXffPMV3377TeLgWlmzZuPWW+tz2213ULVqtVSPMB1p\n", "xxxEXpkirTwQeWVSrgsfx44dY+bMGYwdO5rp07/k2LFjZM2ajTZt7qVly7ZcffW1focYNBF4HkVU\n", "eSDyyuR3rlMFOI1F2gELkVemSCsPRF6Z/E6UaSRs8t3Ro0dZsmQxn332MV99NS2x/3Bc3GU0btyU\n", "pk2bU7Jk6VM2k460Yw4ir0yRVh6IvDIp14WnnTt3MmnSON5/fzi//LINgFq1atOuXQeqVq0W8lH3\n", "gy0Cz6OIKg9EXpn8znXRfq5cRET8lylTJsqXr8Czz77IokUr+eKLr7n33vs4fvwY7703lLp1a1Cx\n", "YinefXcwv//+u9/hioiEVK5cuejcuRuLFq1k8uTJlClTjq+/nk7z5o2oVq0C48aN5vDhw36HKSKp\n", "pAqwiIgkioqKokyZcrz44musWrWeCRM+pFmz29m2bSt9+/amSJFruP32xnz66UccOXLE73BFREIm\n", "U6ZMNG/enC+++Jpp076ladPm/PTTerp27Uj58iUYOXIYhw4d8jtMETkNVYBFRCRZmTNnpkaNWxgy\n", "ZBiLFq2kd+++XH31Ncya9S0PPHAvlSuXYejQt/j777/9DlVEJKRKlizN0KHDWbJkNQ8+2IE9e3bT\n", "q1c3ypYtxrBhQzl48KDfIYpIClQBFhGR08qb93K6devJ998vZvLkT2jW7HZ27NhOv359KFrU0KlT\n", "J376ab3fYYqIhFTevJfz9NMDWbx4NR06dOavv/bSp09PKlYsxcSJ4zh27JjfIYpIEqoAi4jIGalW\n", "7WaGDBnGihVr6d69N1mzZuWtt96iUqXSdOrUnvXrrd8hioiEVK5cuejf/xmWLPmBDh06s3v3Ljp3\n", "fohq1SrwxRefEWaDzopkaKoAi4jIWcmZ8xJ69uzDsmU/Mn78eK655lomTRpP5cpluPXWmqxdu8bv\n", "EEVEQurSSy+lf/9nWLBgOS1btuann9bTpk0L6ta9me+/n+13eCKCKsAiInKOMmfOzF133cWcOYsY\n", "Pnw01avXYMmSRdx0U3luu60R8+fP9TtEEZGQuvzyK3j11TeZM2cRDRo0ZtmypTRtWp/bb2/MmjU/\n", "+h2eSIamCrCIiARFTEwMDRo0ZtKkjxk3bjLly1dk9uyZNGpUl8KFr2LZsiV+hygiElLXXnsdw4eP\n", "5quvZnHTTdWZNetbatSoTJ8+Pdi790+/wxPJkFQBFhGRoKtVqw5Tpkzjyy9nEBd3Gb///jv1699C\n", "z55d2bFju9/hiYiEVPHiJfngg0+ZMOFDChS4imHD3qF8+RKMHj1SA2WJhJgqwCIikmZKly7L6tXr\n", "eeml17niiit5//3hlCpVhAEDntDbDxHJcGrUuIXvvltAv35Pc+jQYbp370K9ejX58ccf/A5NJMNQ\n", "BVhERNJUdHQ0rVu35fvvF/PUU8+RM+clvP32G9SsWZUBA57Q7wiLSIYSGxtLx45dWLBgGU2bNmfZ\n", "sqXUqlWVZ58dwL///ut3eCIRTxVgEREJidjYWNq378icOQupX78RW7du4e233+DGG6/jgw8m+h2e\n", "iEhI5cqVm6FDhzNx4v/Ikycvb7zxCtWqVdBo0SJpTBVgEREJqYsvzsmIEWOYOXMehQoV5sCB/Tz8\n", "cDvuu+8efvllm9/hiYiE1M0312L27IW0b9+RLVs207Rpfbp06cCff/7hd2giEUkVYBER8cUNNxRh\n", "9uyFvPTS6wB89tknlCx5A4888jBHjx71OToRkdDJli0bTz31HNOmfUuRIkWZMGEslSqV4YsvPvM7\n", "NJGIowqwiIj4qnXrtvz2214efrgLAOPHj6FatQqsXbvG58hEREKrePGSTJ8+k759B7B//z7atGnB\n", "Qw/dr7fBIkGkCrCIiPguOjqaJ598mmXLfuTGG4uxfr3lppvK0779ffz1116/wxMRCZnMmTPTuXNX\n", "vvnme0qWLMX//jeZKlXK8dVXU/0OTSQiqAIsIiJh44orrmTGjNmMGDEWgI8++oA772zG1q1bfI5M\n", "RCS0rrvO8PnnX9O3b3/27v2Tli3voFOn9uzfv8/v0ETSNVWARUQkrERFRVG/fkMWLFjGRRddxNKl\n", "i6lQoSRjx44iPj7e7/BEREImU6ZMdO7cja+/nk3RosWZNGk8NWtW5YcfVvsdmki6pQqwiIiEpYIF\n", "r2HNmo08+eQzHD9+nG7dOtG48a3s3fun36GJiIRU4cLXM3XqN3Tq1JVNmzZy6601GDdutB4KipwF\n", "VYBFRCRsZcqUiYcf7sznn3/FjTcWY/78uVx3XX7eeusNv0MTEQmpzJkz88QTAxg7dhJZsmSha9eO\n", "dOrUnn/++cfv0ETSFVWARUQk7JUqVYZp076lUaOmADz11BNUqFCSI0eO+ByZiEho3XJLXWbMmEOJ\n", "EiWZPHkCDRvW4ddff/E7LJF0QxVgERFJFzJnzsy7746kf/9nAfj55w3kz5+LBQvm+RyZiEho5cuX\n", "nylTptOyZWtWrVpBrVo3sXDhAr/DEkkXVAEWEZF0Iyoqig4dOrFqlSVv3ss5evQoDRvW4d13B3P8\n", "+HG/wxMRCZnzzjuPV14ZxPPPv8Sff/5B06b1GDdutN9hiYQ9VYBFRCTdyZ07DytWrOWFF14lOjqa\n", "vn17c889d+rnQUQkQ4mKiuK++x5k8uRPyJ49O127dqRPnx7qHiJyCqoAi4hIutWmzf3MmDGHfPny\n", "89VX06hatTzffTfT77BEREKqSpWbmD59FoUKFWbYsHe4++7b9EBQJAWqAIuISLpWpMiNzJ69kHvu\n", "acv27b/SvHkj3ntviN9hiYiEVIECV/HllzOoXbsu3303k8aN67Fz506/wxIJO6oAi4hIupc1a1Ze\n", "fvl1Ro2aQJYsWXj88V7qCyciGU727DkYOXIcrVq1YfXqldSrV4uNGzf4HZZIWFEFWEREIkadOrcy\n", "YcL/AOjatSNdunQgPj7e56hEREInU6ZMvPzy6/To8Rhbt26mXr1a/PDDar/DEgkbqgCLiEhEqVSp\n", "ChMnukrwhAljqV//Fg4dOuRzVCIioRMVFUWPHo/x0kuv88cff9CsWX1Wr17ld1giYUEVYBERiTg3\n", "31yLL774GoDFixdy5ZVx7Nix3eeoRERCq3XrtrzxxmD27t3rVYJX+h2SiO9UARYRkYhUpkw5Jk36\n", "OPFzuXLFWb58qY8RiYiE3p13tuCNNwbz119/0axZA9as+dHvkER8pQqwiIhErOrVa/Dbb3upVu1m\n", "Dh48SO3a1fn++9l+hyUiElIJleC9e/dy++2N2bjxZ79DEvGNKsAiIhLRoqOjmTz5Ex54oD0ATZvW\n", "Z86c73yOSkQktO68swXPPfciu3btpHnzRmzf/qvfIYn4QhVgERHJEJ599kUGDHgOgNat72bu3Dk+\n", "RyQiElr339+eXr0eZ9u2rTRv3og9e/b4HZJIyIVVBXj9+vX6uQoREUkz7ds/zBNPPMWBA/tp0qQe\n", "3347w++QRERCqlu3nrRv35GfflrPXXc1Y9++fX6HJBJSYVUBNsYwbNhQv8MQEZEIFRUVRadOj3Df\n", "fe0AuPPOpowaNcLnqEREQicqKooBA57l7rtbsXLlcho1aqSfipMMJawqwFFRUXz22ad+hyEiIhHu\n", "+edf5plnBgLQo8cjvPrqiz5HJCISOlFRUbzyyiBuvbUBs2bNomPHBzl+/LjfYYmERFhVgIsWLcqK\n", "Fcs4fPiw36GIiEiEa9euA6+8MgiAgQOfwdp1PkckIhI6MTExDBkyjEqVKvHppx/x5JN91BVRMoSw\n", "qgBXqlSJgwcPsmrVCr9DERGRDKBVq3sZNWoCAG3atOCvv/b6HJGISOicf/75TJkyheuuM7zzzmAG\n", "D37T75BE0lzYVYABFi9e5HMkIiKSUdStW4+HHurEhg0/cfPNlVUJFpEMJWfOnEyc+BF58uRlwIC+\n", "fPjhJL9DEklTYVUBrlixIgCLFi3wORIREclI+vV7ilKlyrBt21YqVSrDwYMH/Q5JRCRkrrjiSiZM\n", "+B8XXHAhXbp04LvvZvodkkiaCasKcP78+cmdOw+LFi1QHwQREQmZmJgYPvroc666qiC7du2kYcPa\n", "GhBGRDKU66+/gdGjJxAVFcW997Zg9eqVfockkibCqgIcFRVF2bLl2b17F5s3b/I7HBERyUDOP/98\n", "PvnkSwBWrFjOsGHDfI5IRCS0KlaszJAhw/jnn7+5885mbNmy2e+QRIIurCrAAGXLlgPUDFpEREIv\n", "T568zJo1n+joaB588EG++eYrv0MSEQmpBg0a8+yzL7B79y7uvLMpf/zxu98hiQRVGFaAywMaCEtE\n", "RPxx/fU3MGbMRKKjo+nWrTNLly72OyQRkZC6//72dOz4CD//vIHWre/WuAgSUcKuAnzDDTeSNWtW\n", "Fi/WG2AREfFHrVp16N69Ozt2bKdJk3ps27bV75BEREKqb9/+NG7clIUL59O5c3uNiyARI+wqwJkz\n", "Z6ZEiVKsW7dWP0UhIiK+eeGFF6hZ8xYOHjxI5cpl2LDhJ79DEhEJmejoaAYNGkq5chX45JOPePbZ\n", "AX6HJBIUYVcBBtcPOD4+niVL1AxaRET88+6779O4cVP+/fdfnn/+ab/DEREJqSxZsjBq1Hiuvvoa\n", "3nzzNUaNGuF3SCLnLEwrwK4fsAbCEhERP2XPnp2hQ0eQK1duPvvsEz74YKLfIYmIhFTOnJcwfvyH\n", "XHrppfTq1Y0ZM6b7HZLIOQnLCnDp0mWJiorSQFgiIuK76Oho+vTpB8DDD7dj+vSpPkckIhJaV11V\n", "kNGjJxIbG8v999+r3wiWdC0sK8AXXngRhQoVZtmyJRw5csTvcEREJIO7666WvP32uwC0anWHRoYW\n", "kQyndOmyDBkynH///Ye7727OL79s8zskkbMSlhVggNKly/HPP//w44+r/Q5FRESE2267I/Hft95a\n", "kz179vgYjYhI6NWr14CnnnqOnTt/o0WL5uzb95ffIYmcsTStABtjrjLGDDPGfHCm3y1bthygfsAi\n", "IhIeoqKi2LHjT+rVa0h8fDw331yJnTt3+h2WiEhItWvXgfvvf5C1a9fQpk0rDh8+7HdIImckTSvA\n", "1tpN1tr7z+a7/w2EtTCoMYmIiJytmJgYXnzxNQB++20H9erV9DkiEZHQioqK4umnB1KnTj3mzJlF\n", "9+5diI+P9zsskVRLVQXYGDPCGLPTGLM6yfQ6xph1xpifjDG9ghlYgQJXERd3GYsWLdBJJSIiYSMu\n", "Lo4pU9woqFu3bmHr1i0+RyQiEloxMTEMHTqcEiVKMnHiOF555QW/QxJJtdS+AR4J1AmcYIyJAd7y\n", "pl8P3GWMKWyMaWWMec0Yk/dcAouKiqJs2fL89tsOdbIXEZGwUr58BQYOfAWAqlXLsXv3bp8jEhEJ\n", "raxZszJmzGTy5SvAiy8+p5+Jk3QjVRVga+0c4M8kk8sCG6y1m621R4CJQCNr7RhrbVdr7XZjTE5j\n", "zFCg+Nm8IS5TRv2ARUQkPLVpcz/ly1fkn3/+oUWL2zh27JjfIYmIhNRll13GhAkfcuGFF9G1a0cW\n", "LJjnd0gip3UufYAvBwJfzf7iTUtkrf3DWtveWnuttfaM20ZoICwREQlXUVFRjBs3GYAVK5bTokVz\n", "jh496nNUIiKhde211zFixBiOHz9O69Z3sXHjBr9DEjmlTOfw3TTpmBsXlyPx3zVqVCFLliwsW7b4\n", "hOnpTXqOPSWRVqZIKw9EZplEwk2OHBcwcuQ42rRpwbffzuDNN1+ja9cefoclIhJSVarcxMsvv8Ej\n", "jzzM3Xc3Z+rUb7j44px+hyWSrHOpAP8KXBnw+UrcW+Bzsnv3/hM+Fy9ekkWLFrBx46/kyHHBuS4+\n", "5OLicpxUpvQu0soUaeWByCuTKvMSzurVa8CUKdNo2LAOzz//NJs2bWTQoCF+hyUiElJ3392KjRt/\n", "ZtCgV2nTpiWTJ39CbGys32GJnORcmkAvAa41xhQwxsQCdwBTghPWf8qWLc/x48dZunRJsBctIiIS\n", "FOXLV6Rt2wcAmDhxHL/9tsPniEREQq9Pn340aNCYefO+p1u3TvolFwlLqf0ZpAnAPOA6Y8w2Y0wb\n", "a+1RoCMwHVgDTLLWrg12gBoIS0RE0oOBA1/hgQfaA1C0qOHAgchphSEikhrR0dG89dY7lCxZismT\n", "J/Daay/5HZLISVLVBNpae1cK06cCU4MaURJlypQFYNGihWm5GhERkXPWs2cf3ntvKABPP/0kAwe+\n", "QlRUlM9RiYiEzvnnn8/o0ZOoW/dmBg58hquuKkiTJrf5HZZIonNpAh0SOXNewrXXXsfSpYs1uqaI\n", "iIS1Cy+8iN69+wIwcuQwcuW6UG+CRSTDueyyyxg37gNy5LiAzp0f0ossCSthXwEG1w/4778PsHbt\n", "Gr9DEREROaVu3XrSrt1DiZ+ffvpJ9YMTkQynUKHCDBs2iqNHj9K69Z1s3rzJ75BEgHRUAQb1AxYR\n", "kfRhwIDnqFu3PuDeBH/44SSfIxIRCb3q1WswcOAr/P7777Ro0Zy9e//0OySR9FIBdgNhLV6sCrCI\n", "iIS/mJgYRo4cm/j54YfbceTIER8jEhHxR+vWbXnooU789NN67rvvHuVC8V26qAAXLHgNl1xyifoP\n", "iIhIuhEdHc2HH/7364BTpnzsYzQiIv7p1+8p6tatz5w539GzZ1d1CxFfpYsKcFRUFGXKlOOXX7ax\n", "ffuvfocjIiKSKlWrVmPRopXExMTw3HNPsX//Pr9DEhEJuZiYGAYPfo9ixUowbtxo3nzzdb9Dkgws\n", "XVSAAcqUcf2AFy/WW2AREUk/ChS4irvvvodt27ZSuXJZfv31F79DEhEJuWzZsjFmzETy5r2cZ555\n", "ks8++8TvkCSDSjcVYA2EJSIi6dWAAc9SrFgJduzYTokS13Pw4EG/QxIRCbncufMwbtwHZMuWnYcf\n", "bseyZUv8DkkyoHRTAS5WrDixsbHqBywiIulO9uzZmTbt28TPRYte52M0IiL+ueGGIrz33kgOHz5M\n", "q1Z3sm3bVr9Dkgwm3VSAs2TJQtGixfnhh1UcOHDA73BERETOSExMDL16PQ7A3r17efLJx32OSETE\n", "HzVr1ubZZ19g9+5dtGjRnH37/vI7JMlA0k0FGFwz6GPHjrF8+VK/QxERETljnTt3S/z3kCFvsn69\n", "9TEaERH/3HffgzzwQHvWrVtLu3ZtOHr0qN8hSQaRrirA5ctXBGDBgnk+RyIiInLmMmfOzM6d/73p\n", "qFy5DH/88buPEYmI+Oepp56nVq3afPvtDPr1e8zvcCSDSFcV4HLl3EBYqgCLiEh6FRUVxfDhYxI/\n", "N2pUV7+JKSIZUkxMDEOHDqdw4esZNuwdhg9/1++QJANIVxXgiy/OSeHC17NkySIOHz7sdzgiIomM\n", "MVcZY4YZYz7wOxYJfw0aNOLLL2cAYO06pk+f6nNEIqmjXCfBliPHBYwZM4lLL42jb99efPvtDL9D\n", "kgiXrirA4JpB//vvv6xatcLvUEREEllrN1lr7/c7Dkk/SpcuS5cujwJwzz13Mm/e9z5HJHJ6ynWS\n", "FvLly8+oUePJlCkTDzxwL9au8zskiWDpsgIMMH++mkGLSPAZY0YYY3YaY1YnmV7HGLPOGPOTMaaX\n", "X/FJZGnXrkPivxs3vpVNmzb6GI1kJMp1Em7KlCnHG28MZv/+fbRocTt79uzxOySJUOm2ArxwoSrA\n", "IpImRgJ1AicYY2KAt7zp1wN3GWMKG2NaGWNeM8bk9SFOiQBxcXFs3LidbNmyA64SLBIiynUSdpo2\n", "bc6jj/Zi69bNtGnTgkOHDvkdkkSgdFcBzpMnL/nzF2DBgvkcO3bM73BEJMJYa+cAfyaZXBbYYK3d\n", "bK09AkwEGllrx1hru1prtxtjchpjhgLF9dZEzkT27NmZM2chADt2bGfChLE+RyQZgXKdhKuePfvQ\n", "uHFTFi6cz6OPdtYggRJ0mfwO4GxUqFCJiRPHsXbtGooUudHvcEQk8l0ObAv4/AtQLnAGa+0fQPsz\n", "WWhcXI5zjyyMRFp5IHRliou7nq+//ppmzZrRpUsH8ufPS6NGjdJgPdpHckrKdakQaeWB8CvT+PFj\n", "qVatGpMnT6B48Rt57LEz+4mkcCtPMERimfySrivACxfOUwVYREIhTR4/7969Py0W64u4uBwRVR4I\n", "fZmKFStHq1ZtePvtN2jcuDGrV/9Erly5grZ87aPwFwY3uMp1pxFpxxyEb5mGDx9HnTrV6dOnD7lz\n", "56N+/Yap+l64ludcRFqZ/M516a4JNEC5chUADYQlIiHzK3BlwOcrcW9GRIKqTJn/XrbdeOO1LF++\n", "1MdoJANSrpOwkStXLsaOnUzWrNl4+OEHWLlyud8hSYRIlxXgq64qSK5cuVmwYJ76BYhIKCwBrjXG\n", "FDDGxAJ3AFN8jkki0K231qdnzz6Jn2vXrs6OHdt9jEgyGOU6CSs33FCEd94ZwcGDB2nV6k7lQwmK\n", "dFkBjoqKonz5iuzatZNNm372OxwRiSDGmAnAPOA6Y8w2Y0wba+1RoCMwHVgDTLLWrvUzTolc3bv3\n", "plu3HomflyxZ5GM0EqmU6yS9qF27Lv37P8tvv+2gZcs7+Pvvv/0OSdK5dNkHGNzPIX366UfMnz+P\n", "ggWv8TscEYkQ1tq7Upg+FZga4nAkg+rd+wkuuuhi+vXrw3333cOIEWNT3f9NJDWU6yQ9ad/+YTZs\n", "WM+YMe/TocMDjBw5lujodPkeT8JAuj1yKlSoBMCCBeoHLCIikadt23YB/27JunV6ESciGVNUVBQD\n", "B75ClSo3MXXq5zz33FN+hyTpWLqtABcqVJiLLrpIA2GJiEhEio2N5bXX3kr8vHPnbz5GIyLir8yZ\n", "MzNs2CgKFryaQYNeZeLEcX6HJOlUuq0AR0dHU65cBbZu3cz27b/6HY6IiEjQ1avXgKxZswLQvHkj\n", "Bg58xueIRET8c/HFORk3bjIXXXQRjz7amfnz5/odkqRD6bYCDFC+vJpBi4hI5Lrooovp06df4udX\n", "X31RD31FJEO7+uprGTFiLPHx8dx7791s2rTR75AknUnnFWD9HrCIiES2UqXKnPD5/feHs2vXLp+i\n", "ERHxX+XKVXnxxdf4888/adnydv76a6/fIUk6kq4rwEWLFidr1mwsWKDmDyIiEplKlSrDypXrEn8a\n", "6fXXX6ZIkWtUCRaRDK1ly9Y89FAnfvppPfff35ojR474HZKkE+m6Apw5c2bKlCmLtevYs2eP3+GI\n", "iIikiTx58tK79xPkyHFB4rRPP/2fjxGJiPivX7+nqF27Lt99N5M+fXoSHx/vd0iSDqTrCjBAxYqV\n", "AdQJXkREIt7rr/83KvTjj/fSzZ6IZGgxMTEMGTKcG264kVGjhjNs2FC/Q5J0IN1XgCtUSKgAf+9z\n", "JCIiImmrQYPG1KvXMPHz6NEjfYxGRMR/2bNnZ+zYSVx2WS6eeOIxpk6d6ndIEubSfQW4RImSZMmS\n", "hXnz9AZYREQiX4sWrRL/3aPHI3To8ADHjh3zMSIREX9dfvkVjB49gdjYWO644w7Wrl3jd0gSxtJ9\n", "Bfi8886jdOmyrFnzA3/88bvf4YiIiKSpmjVrs3TpD4mfP/xwEj17dlVzaBHJ0EqWLM2bbw5l//79\n", "tGp1h8YHkhSl+wowQIUKCb8HPN/nSERERNLelVfmY9UqS61atQEYM+Z9ChTIzezZs/wNTETER40a\n", "NaV///5s3bqFNm1acOjQIb9DkjAUERXgSpWqAOoHLCIiGUfu3HkYN+4DcufOA8C///7Lbbc1VHNo\n", "EcnQ+vXrR+PGTVm4cL5ax0iyIqICXLJkac477zz1AxYRkQxn7tzFJ3z++ecNPkUiIuK/qKgo3nhj\n", "CMWLl2DChLEMGfLW6b8kGUpEVICzZMlCyZKl+eGHVfz1116/wxEREQmZwN8GBrjjjiY+RSIiEh7O\n", "P/98Ro+eSO7ceRgwoC9ffaWRoeU/EVEBBtcPOD4+noUL1Q9YREQylo8++jzx37/++gvbt//qYzQi\n", "Iv7LnTsPo0dPIEuWLDz44H0aGVoSRUwFuGJF93vAc+eqH7CIiGQslStXpUePxxI/Fy9emCNHjvgY\n", "kYiI/4oXL8mgQUP4++8DGhlaEkVMBbh06bJkzpxZA2GJiEiG1KPHY/Tr93Ti59tua8iYMe/7F5CI\n", "SBho1KgpPXo8xtatW2jbtiWHDx/2OyTxWcRUgLNmzUqJEqVYtWol+/fv8zscERGRkGvX7iHatXsI\n", "gPnz5/Loo519jkhExH/du/emUaOmLFgwjx49HtHI0BlcxFSAwTWDPn78OIsWLfA7FBERkZCLjY3l\n", "6acHUrDg1YnTZs78xseIRET850aGHqyRoQWIsApwhQqVAPRzSCIikmFFRUXRpcujiZ/vuKOJ3naI\n", "SIaXNWtWRo2aQK5cuRkwoC9ffz3N75DEJxFVAS5TpiwxMTHMm6d+wCIiknHddVdLRo2akPh5yZJF\n", "PkYjIhIe8uTJy+jREzjvvPN48MH7WLdurd8hiQ8iqgKcPXsOihUrzsqVy/n777/9DkdERMQ3devW\n", "o1evxwGoV68Wq1at8jkiERH/lShRikGDhnDgwH5atryD33//3e+QJMQiqgIMUKFCZY4ePcrixQv9\n", "DkVERMRX99zTNvHfxYoV4+23B/kYjYhIeGjcuBndu/dm69bNtGnTQiNDZzARVwGuWNH1A9bPIYmI\n", "SEYXFxd3wucBA/py2WUXsG/fXz5FJCISHrp3703Dhk1YsGAePXt21VgJGUjEVYDLlatAdHS0BsIS\n", "EREBfvzx55OmVa9eyYdIRETCR3R0NIMGDaFYsRKMHz+GoUPf9jskCZGIqwBfcMGFFClSlOXLl6of\n", "sIiIZHhxcXHs2rXvhGnbtm3l+PHjPkUkIhIesmbNyujR/40MPWPGdL9DkhCIuAowQLVqN3P48GHm\n", "zZvjdygiIiJhoUiRIid83rZtq0+RiIiEj4SRoWNjY2nXrq1Ghs4AIrICXL16DQBmzvzG50hERETC\n", "wzoGoOkAACAASURBVPz586lSpVri51dffdG/YEREwohGhs5YIrICXKZMObJly863387wOxQREZGw\n", "kD17dkaP/u+3gSdMGMuwYUN9jEhEJHw0btyMRx/txdatm2nbtqVGho5gEVkBjo2NpUqVm9i48Wc2\n", "bdrodzgiIiJhIVu2bDzwQPvEz3369GTcuNEcPHjQx6hERMJDjx6P0aBBY+bPn0uvXt00MnSEisgK\n", "MMDNN9cE1AxaREQkUM+efcicOXPi565dO9Kx44PMmvWtj1GJiPgvOjqaN98cStGixRk3bjTvvKOR\n", "oSNRxFaAE/oBz5qlCrCIiEiCCy+8iF9//Z0fftiQOG3KlI+5/fbGTJ8+1cfIRET8FzgydP/+ffnm\n", "m6/8DkmCLGIrwPnzF+Dqq69h9uzv1IZfREQkicsuu+ykaa1a3eFDJCIi4SVv3ssZNWo8sbGxPPBA\n", "G40MHWEitgIMrhn0P//8zaJFC/wORUREJOw8//zLJ01bvXqVD5GIiISXkiVL88YbgzUydARK8wqw\n", "MaaRMeZdY8xEY0yttF5foP+aQatfk4iISFL33deOQYOGnDCtRo3KjB07yqeIRETCR5Mmt9GtW0+N\n", "DB1h0rwCbK391FrbDmgPhLRtVYUKlYmNjVUFWEREJAV33tmCXbv2UbZs+cRp3bp1Ur83ERHcwIH1\n", "6zdi/vy59O79qEaGjgCprgAbY0YYY3YaY1YnmV7HGLPOGPOTMabXKRbRF3jrbAM9G9myZaNs2fKs\n", "WrWCPXv2hHLVIiIi6UrgbwQD3HXXbYwY8Z6aRItIhpYwMvSNNxZj7NhRvPvuYL9DknN0Jm+ARwJ1\n", "AicYY2Jwldo6wPXAXcaYwsaYVsaY14wxeY0xUcaYF4Cp1toVQYs8lapVuxmA2bNnhnrVIiIi6UbO\n", "nJcQF3fiwFi9ez9KjRqVfYpIRCQ8ZMuWjTFjJnLZZbl48snH1UImnUt1BdhaOwf4M8nkssAGa+1m\n", "a+0RYCLQyFo7xlrb1Vq7HegE1ABuM8Y8GKzAUyuhAvzdd6oAi4iInMoff2iQFxGR5OTNezmjR08g\n", "NjaWdu3aYu06v0OSs5TpHL9/ObAt4PMvQLnAGay1g4BBqV1gXFyOcwzpRNWrV+LSSy9l9uyZXHpp\n", "dqKiooK6/NQIdpnCQaSVKdLKA5FZJhFJW2+//S6dOrWnWbPbmThxXOL0Q4cOcd555/kYmYiI/0qW\n", "LM3rr79N+/b30bLl7UybNpNLLrnE77DkDJ1rBTjovcB3794f7EVStWo1PvroQ+bOXYIxhYK+/FOJ\n", "i8uRJmXyU6SVKdLKA5FXJlXmRUKjadPmNG3anI0bfz6hAvzww+0YNmwUx44do0uXDtSv34g6dW71\n", "MVIREX80bdqc9evX8eqrL3Hffa2YPPkTYmNj/Q5LzsC5jgL9K3BlwOcrcW+Bw8pNN7lm0LNmfeNz\n", "JCIiIuEvf/4CJ3yeMuVjFiyYz4oVy5g8eQL33HOnP4GJiISBnj0fp379Rsyb9z2PPdZdI0OnM+da\n", "AV4CXGuMKWCMicX9zNGUcw8ruG66qTqg3wMWERFJjZiYGHr27EPnzt0SpzVsWFt9hEVEOHFk6DFj\n", "3ue994ac/ksSNs7kZ5AmAPOA64wx24wxbay1R4GOwHRgDTDJWrs2bUI9e3nzXo4xhZg373sOHTrk\n", "dzgiIiJhr3v33vTt2/+EaT16dPUnGBGRMBM4MnS/fn00MnQ6kuo+wNbau1KYPhWYGrSI0ki1ajfz\n", "zjuDmT9/buLI0CIiIpJ627f/6ncIIiJhI2/eyxk1ajyNG99Ku3ZtmTr1G667zvgdlpzGuTaBTjdu\n", "uaUuANOmfeFzJCIiIunHsGGjkp1+4EDkDLQnInK2SpUqw+uvv83+/fto2fJ2dRVJBzJMBbh8+Ypc\n", "dNFFTJ36hTqqi4iIpFLDhk1Yu3YTV16Zj/vua0eDBo0BWL16lc+RiYiEh2bNbqdr1+5s3ryJtm1b\n", "cfjwYb9DklPIMBXgzJkzU6tWHXbs2M7Klcv9DkdERCTduOSSS1i69Aeef/5lata8BYB27droobKI\n", "iKdXr77Uq9dQI0OnAxmmAgxw660NAJg69XOfIxER+X97dx5nY93/cfx1ZoxlLBFDtuy+0qCypmx3\n", "yl4pWbJkiTtRNxFKUjduulGyJGSdst7Iku3XHZEtiiL6hhbrDIZsI8vM/P6YMbdhmGOWc5055/18\n", "PHo013Wuc673p5n5NJ9zrkUkYypRohQAERHhvPBCG8LCZjgbSETECwQEBDB+/CRdGToD8KsBuG7d\n", "v5E1a1ZWrtR5wCIiIilRunSZRMurVn3B2bNnWLfuK65evepQKhER52XPnp1Zs+YQEpKft99+k7Vr\n", "/+t0JEmCXw3A2bNnp27dv/Hzz3v59df9TscRERHJcPLly8fTTz+TsPzll2soXbooLVs+zb/+9U8H\n", "k4mIOK9w4SLMnDmboKAgunbtyP79+5yOJDfwqwEYoFGjpgCsWKFPgUVERFLi44+nJbl+6dLFHk4i\n", "IuJ9qlSpxujRYzl79gzt27fizz9POx1JruN3A/DjjzckICBA5wGLiIikUEBA0n8+HDz4B1FRUR5O\n", "IyLifVq2bEPPnr04cGA/3bp10ikiXsTvBuB8+fJRo0ZNtm//loiICKfjiIiIZEjbtiV9G6TQ0Lhz\n", "hCMjI+ne/UWOHj3iyVgiIl5j4MDBPP54A9at+4p33hnodByJ53cDMECjRk2IjY1lzZqVTkcRERHJ\n", "kIoVK054+J/8978bKFGiZML68+fPcenSJfr1683ChfPp2/cfDqYUEXFOYGAgH388FWPKMXnyRD79\n", "dKbTkQQ/HYAbNmwC6HZIIiIiqREQEECFCpXYunVnovXLln3O77//BkBMTIwT0UREvELOnLkIC5tH\n", "njx56N//NTZv3uh0JL/nlwNwsWLFuf/+Cqxfv45z5846HUdERCTDe++99xO+fvnlrpw+fQqAu+66\n", "y6lIIiJeoXjxEkydGkZsbCydO7fj4ME/nI7k1/xyAIa4w6AvX77MV1996XQUERGRDK9Tpxf59NN5\n", "CcuHDx8CIFOmIKciiYh4jUcfrc3w4aOIjIykffvWnD9/zulIfstvB+DGjZsBsGSJbtkgIiKSFipU\n", "qHTTuitXLjNo0AAOHNC9MEXEv73wQmc6d+7K3r0/8fLL3XSKiEP8dgC+//5QypcPZeXK5QnvUouI\n", "iEjKFSxYiIiIM4nWff75IiZN+ojGjeuzY8d3DiUTEfEOQ4aMoFatuqxa9QUjRgx1Oo5f8tsB2OVy\n", "0aVLN6Kjo/n880VOxxEREfEJLpeLLVt23LT+9OnTNGhQT7cgFBG/FhQUxCefzKBEiZKMGTOKhQvn\n", "Ox3J7/jtAAxxh0EHBgayZMkiYmNjnY4jIiLiE0qWLHXLx06divRgEhER75Mnz92Ehc0jZ85c9OrV\n", "g++/3+50JL/i1wNw3rx5qV//CX74YQcbNnztdBwRERGfsWnTd3zzzTY++yzxpxvLln3O66/3TrhN\n", "koiIPypb1jB58jSuXLnCCy88z7FjR52O5Df8egAG6NGjFwDz5s12OImIiIjvKF26DGXLGmrXrpdo\n", "/ahRI5g5cyrVqlXS0Vci4tcee+wJBg8eSkREOC+80IaLFy86Hckv+P0AXK1adUqVKs2iRQvYt+8X\n", "p+OIiIj4lMyZM9/ysRUrlnswiYiI93nppR60adOOnTt30KvXy3pj0AP8fgAOCAjgrbfeJTo6mrFj\n", "33c6joiIiE9xuVxs2vQdH388lX793kz02PHjuiCWiPg3l8vFv//9AVWrVmfx4oWMGTPK6Ug+z+8H\n", "YIDGjZtStOi9fPHFMh16ICIiksZKly7DM888R9++AxKt37TpG/7zn3n07t2T8PBjDqUTEXFWlixZ\n", "mD79M4oUKcrw4UP44otlTkfyaRqAiXvn5emnn+X8+XN8+eUap+OIiIj4hSVLFvHyy1357LNZVKxo\n", "eO21Vzhy5LDTsUREPC5//vzMnDmH4OBgevToxu7du5yO5LM0AMdr3rwFAIsX/8fhJCIiIv7p009n\n", "8uCD5cmfPxe7dv3odBwREY+qUKEi48dPJirqAh06tObEiRNOR/JJGoDj3X9/KMaU4//+bxXnzp11\n", "Oo6IiIhPeuyxx93absaMqemcRETE+zRt+iT9+w/k8OFDdO7cjkuXLjkdyedoAI7ncrlo3rwFly5d\n", "YtmyJU7HERER8UnTpn3KsmXJn24UFjZdf/iJiF967bV+PP30M2zdupn+/V/TlaHTmAbg67Rs2YaA\n", "gACmTp2sHzQREZF0kC1bNqpXr0GPHv9IdtsPPxzNiBFDuHLlCjNnTmP//n0aikXE57lcLsaM+YhK\n", "lR5k9uwwPvzwQ6cj+ZRMTgfwJkWKFKVx42YsX76EzZs3UrPmo05HEhER8UmDBw+hQYNGPPlkw1tu\n", "M2rUCAD279/P0qWLAQgOzs7vv+uK0SLi24KDg5k1aw6PP16HPn36ULBgMf72t/pOx/IJ+gT4Bt27\n", "9wT+9z9dERERSR/Vqz/Me++9z8aN24mIOHPL7X755eeEr6OiLngimoiI4woWLMTMmbMJCgqia9eO\n", "7Nv3i9ORfIIG4BtUrVqdatVq8M0369m6dYvTcURERHyWy+WiU6cXKVOmLC6Xi+3bd9G//8CbtouJ\n", "iblp3fHjxxk0aBB//fWXJ6KKiDiicuWqTJ06lXPnztK+fSv+/PO005EyPA3ASXjzzbcBmD59isNJ\n", "RERE/Me99xajT5/+bNuW+BZIR48eTbQcHR1NaGhphg4dyr/+9U9PRhQR8bi2bdvyyiu9+fXXA7z4\n", "YkeuXr3qdKQMTQNwEh5++BGKFSvO8uVL+O23X52OIyIi4leKFSueaPn8+XOJlh97rFbC1z/9tNsT\n", "kUREHPXmm2/ToEEj1q9fy+DBbzodJ0PTAJwEl8tFr159uXz5MqNHv+d0HBEREb8zfvykWz62Z8//\n", "ht7du3/g9OlTnoiUrnbs+M7pCCLixQIDA5k48RPKlbuPKVM+JixshtORMiwNwLfQpk07ypW7j4UL\n", "5/P77785HUdERMSvtGzZhuPHz5IjR87bbnf69GmaNHmcyMjIDH2LJF18U0SSkyNHTmbNmsvdd99N\n", "//6vsXnzRqcjZUgagG8hICCAXr36Eh0dzfDh/9R9gUVERBwwZsz4hK/LljVJbrN//z7uu68EoaFl\n", "GDlyOFFRUcybN5sLFxJfMTo8/BiDBw/k6NEjidYfO3aU/fv3pX34W7h8+TJXrlxJtO7ixYse27+I\n", "ZFzFi5dg6tQwADp3bscff/zubKAMSAPwbTz11DOUK3cfixcvZPXqlU7HERER8TtPPtk84et69R67\n", "7bZnzvzJyJHDefzx2rzyykssWDA30ePdunVi4sRxzJ4dlmh9pUrlqFmz8k2vFx5+jEmTJqTZBWcW\n", "LJjLhAljKVIkH/Xr10702OXLl9NkHyLi+x55pBbDh48iMjKSDh1a33SdBLk9DcC3ERgYyIQJcVeC\n", "HjCgD+fOnXU4kYh4K2PMU8aYycaYucaYx53OI+JLhg17j5o1H6VBg8YJ644cibzl9tfulbl//y9M\n", "mjSBDh1aEx0dzd69ewCIjDyZ5PNuPIT6hRfaMGjQGwkD819//cXy5UuJiooC4PDhQyxdutjtOnr0\n", "6Ma7774FwN69PyV67OrVK0k9xeuo14l4hxde6Eznzl3Zu3cPL7/cLcnbxUnSNAAno0KFirz0Uk+O\n", "Hj3ChAljnY4jIl7KWrvEWtsNeAlo5XQeEV/StWt3Pv98BfnyhSSsCwoK4u67777t806dOsWgQW+w\n", "atUKChbMQ1RU3CHRwcHZb7F94qH62hWm+/b9BzNnTuPee/PTuXM7BgzoA0C9eo/w4osvsHv3rtvm\n", "iI2NTfIQ62LFCvD999sBuHIlY9zWRL1OxHsMGTKCWrXqsmrVF4wYMdTpOBmGBmA39OnTj4IFC/HR\n", "R2MJDz/mdBwRSUfGmGnGmAhjzK4b1jc0xvxsjNlnjOl/m5d4Cxh/m8dFJIUyZcqUaLlv37633X7P\n", "nsSfsl4773bLlk28+mp3Tpw4kejN7ZMn4z4ZHjv2fUaNGkHmzFkSHnv99V4JX69d+18g7pBrgPDw\n", "xPcpvtGMGVOTPMT64sWLDBv2T0aMGMKuXT/c9jXSmnqdSMYXFBTEJ5/MoESJkowZM4qFC+c7HSlD\n", "yJT8JnLXXbnp1+9NevfuybBh7zJu3MdORxKR9DMdGAfMurbCGBNI3B969YEjwDZjzFKgCvAQMBI4\n", "BowAVlprd3o6tIg/CAhI/L79gAEDqFmzHsHBwWzdupkhQwZz/HgE7dt3ZMmSxYlul3S9bdu2sm3b\n", "VubO/SzR+mufAA8d+g4AefPm5fz5m58fExPDqlUrEpYvXUr6/N3o6GiOHj3CokULblnTN998zYYN\n", "6275eDpSrxPxAXny3E1Y2DwaNXqM3r17UrJkKR588OY33OR/9Amwm1q1ep7y5UOZN282GzducDqO\n", "iKQTa+0G4PQNq6sB+621v1trrwBzgaestWHW2t7W2qPAK8BjQAtjzN89m1rEP5QoUZIWLVoxefJ0\n", "AFwuF+XL30/x4iVo1ep5GjZsAkC1ajU4e/bMHb/+zz/voUqVignLkZFJn2ccFRVFhw6tE5a/+eZr\n", "8ufPRf78ueje/UXuuSc3gwYNYMiQwVSuHMrWrZtvuU+n7jKhXifiO8qWNUyePI3Lly/ToUMbjh27\n", "/VEp/s7lZbf3iT1xwnuvYrZjx3c0aFCPokXvZe3ajeTKdVeyzwkJyYk315QSvlaTr9UDvldTSEhO\n", "lyf3Z4wpDiyz1laIX24BNLDWdo1fbgdUt9a+kordeFXzFfEFly5dYsuWLdSuXfumT4szgtjYWPU6\n", "EUmx0aNH07dvX6pUqcL69evJli2b05FuxaO97kY6BPoOPPhgZbp1687kyRPp1Kk9YWFzCQ4OdjqW\n", "iKS/dPkDzsfepPCpesD3avK1eiDpmsqXf4iTJ8/TunXbmw5xlmSp1yXDX36PMjJfqwfcr6l9+65s\n", "376DuXM/o127DkycOBWXy9FZM0khITkd3X/Ge3vUYW+/PYSGDZuwYcM6+vR51ek4IuIZR4Ci1y0X\n", "BQ47lEVE3DBy5BinI2RE6nUiGZjL5WLkyDFUrVqdRYv+w9ix7zsdyStpAL5DmTNn5pNPZhIaWpGF\n", "C+framsi/mE7UMYYU9wYk5m4W38sdTiTiNxGlixZKFDgHgC6dOnG4sVf0LTpUw6n+p9mzZ52OkJS\n", "1OtEMrgsWbIwffpnFC5chGHD3mXlyi+cjuR1NACnwLUhODg4O6+/3pudO793OpKIpBFjzBxgE1DW\n", "GHPIGNPJWnsV6AmsBvYA86y1e53MKSLJ27JlB7/88gfDh4/ikUdqJbqLQ+fOXd1+nSJF/vehaEhI\n", "/hRladXqeUaN+jBh+fpTqN5+e0iKXjM11OtEfFf+/PmZNWsOwcHBdO/+4k23hPN3Ogc4hUqWLMW4\n", "cR/TtesLNGnyOM8915qhQ98jR44cTkcTkVSw1ra5xfqVwEoPxxGRVMiePTuQPdHy1q07CQkJ4eef\n", "9zJt2pRE2+/Z8yvly5dMtK5Ro6bMnDmbKVMmMnBgf5555jk+/XQmFy4kcX8k4IcffiYgIJA33ujL\n", "8uVLEtZnzpyZDh060bfvPwB49NHaBAYG0rx5C+rUqcfJkyfSqGr3qNeJ+LYKFSoxbtwkunRpT4cO\n", "rVm1ai358uVzOpZX0CfAqdCs2VOMHTuRK1euMHt2GKGhZejZ8++cOfOn09FEREQkCSVKlCRHjpxU\n", "qVKNDz4Yz8KFyxIeu/GPw6++2sjMmbMB6NLl78yevYDBg4dQp049AO69tzjTp//vQluBgYEULFiI\n", "AgUKMG1aGEOGDE947LXX+iV67StXrjBmzISE13rnnaFpW6iI+L1mzZ7i9dff4ODBP+jcuR2XLyd9\n", "z3J/owE4lVq2bMMff0TQsWMXLl++xPz5cyhT5l42b97odDQRERG5jbZtO/DII7Vo0uRJxo6dCEDf\n", "vgMSHg8NrZDwdUBAAPXrNyBTpkxMmDCZSZOmsW3bDzRp0uyWr//QQ1UAePbZlhQuXCTRY2fPnk3L\n", "UkREktSnT3+efLI5W7Zs4o03+jp273FvogE4DWTLlo1///sDVq9eR+7cuQF46qlGDBzYTz9kIiIi\n", "XiwgIIDp0z+ldeu2AFSs+ECyz8mePTvNm7dIuL3I99//RIEC9yT6NBigatXqbNnyfcJwDbBq1VfU\n", "qVOPtm3bp2EVIiJJCwgIYOzYiVSoUImwsBlMnTrJ6UiO0wCchipUqMgvvxzk00/nkSVLFqZM+ZjQ\n", "0FBmzJjK2bNnnI4nIiIiyUjJOXJFihRl165faNiw8U2PlSxZmqCgoITlhx6qwoIFS7jrrtypyiki\n", "4q7g4GBmzZpDSEh+3nprAOvWfeV0JEdpAE4HTzzRiPnzPwdgz5499OvXmwoVyvL222/qE2EREREv\n", "VrlyVd54YxBffrne6SgiImmmcOEizJjxGZkyZaJr144cOLDP6UiO0QCcTh5++BEiIs6wdu1aGjZs\n", "zMWLF/n44/FUrGjo0aMb27d/63REERERuYHL5aJ379fdOhRaRCQjqVq1OqNHj+XMmT9p37613164\n", "VwNwOnK5XNStW5dZs+ayceN2ypW7j4iIcBYsmEvjxvV55JEqfPjhaBYtWsDVq1edjisiIiIiIj6s\n", "VavnefnlV9m/fx/dunXyyxlEA7CHlClTlq+/3sKkSdOoXTvulgf79v3CsGHv8tJLXShU6G6aNHmc\n", "ihUN+fPnYuzY91mzZiXdu7/I7t27HE4vIiIiIiK+YNCgd6lf/wnWrv0v7747yOk4HpfJ6QD+xOVy\n", "0bx5C5o3b0FUVBTbt3/LtGlTWLEi7h6E27ZtTdh26NB3Er7+/POFvP76GxQocA/Nmj1Frlx3eTa4\n", "iIiIiIj4hMDAQCZNmkajRo8xadIE7ruvPM8/7z9XptcA7JDg4GBq165L7dp1iY2NZcmSRWTLFsxD\n", "D1VhzZqVzJ8/hz17fiImJoZz584yYsRQAHr37gnAM888R8uWbfjb3+o7WYaIiIiIiGQwOXPmYtas\n", "uTRsWI/XX+9FyZKlqVHjYadjeYQOgfYCLpeLp59+lgYNGhESEkLbth1YsmQl+/Yd5MCBwyxZspLu\n", "3V9J9JxFixbQuvUzFC9ekGHD3uX06VMAXLp0iejoaCfKEBERERGRDKJkyVJMnRpGTEwMnTu35dCh\n", "g05H8ggNwBnAww8/wrvvDuP48bP85z9LWbZsDW+99S4AUVEX+PDD0RhTnFq1qlG0aAiVKpXjyy9X\n", "06tXD4YOfYepUycTERFOePgxGjasxzvvvMXly5fvOMfJkyfZtm0rf/31F999t425cz/jo4/GMXXq\n", "ZE6digTg0KGDxMTEuPV6MTExTJkykQYN6vLAA/exZctmrl69yv79+xg5cjhjx37AhQsX7jiniIiI\n", "iIgkr1atOgwb9m9OnjxJhw5tOH/+vNOR0p0rPe9La4wpB/wDyAusttZOTeYpsSdOnEu3PE4ICclJ\n", "etV07NhRxo8fw4wZUylYsBAHD/7h9nPvu+9+nnuuNVmyZOaJJxpRrFhxrly5QljYDGJjY3nuuVZ8\n", "8cUyNm/eSFBQZtau/ZLDhw+59drPPtuSatVqsGHD14wYMZrcuXPz/ffbqVq1OoGBgQnbjRw5nJEj\n", "h7v1mnfdlZtChQoTGBjI8eMRGHMfHTt2pmnTp3C5XG7XnZT0/B455fqaoqKiiImJIUeOHA6nSrmQ\n", "kJyp+yZ7J5/qd77+e+QLfK0e8L2a1Ou8n6/9zIHv1eRr9YBnanr99d7MnDmVJk2eZOrUWQQEpN/n\n", "pE73unQdgK8xxgQAc621LZPZ1KeaJHj2l/Dw4UNs3LiB77/fTnh4OKVKlebRR2sxb95sFi9emLBd\n", "oUKFOXr0SIr3ky1bNooXL8HevXuAuCtc79v3S7LPu+++8oSHH6N27Xps3LiekydPAvDOO8M4f/4c\n", "o0aNACAkJD/PPdea9evXsXv3jze9TkBAQMKnzPffX4GzZ89w//0VaNr0SUqWLMW99xYnf/78btfj\n", "q41y7tyFbN68idmzZ3Hq1CmqV3+Ygwf/oGDBQkRFRREQEMDu3T9Sv/4T9OjxD2rWfJSLFy8SHBzs\n", "dPybON0o04lP9Ttf/T3ypZp8rR7wvZrU67yfr/3Mge/V5Gv1gGdqunLlCi1bPs3GjRt47bV+DBjw\n", "Vrrty+le59YAbIyZBjQBjltrK1y3viEwBggEPrHWvpfEc5sBLwNTrLWLktmVTzVJ8I5fwtjYWKZP\n", "/4QCBe6hSZNmxMbGMnt2GL/99ivr1n3Fjz/uTLR98+bPsnjxQjJlykTNmrUICQmhe/eeVKz4AHBz\n", "TbGxsezfv4/cufMA0KJFM8LDj3H69Onb5ipSpChTp87iwQcrA3GfaB89eoTKlasmbHPixAmOHTtC\n", "wYKF2bRpA5kzZ+HxxxuwcOF8Fi1awIYNX9/y/mW5c+emevWHqVq1Ort2/Uj27Nnp06c/+fMX4P33\n", "32PVqhU88UQjXnvtVbJmzZ3ok+S5cz/j1Ve707JlGzp1epHixUuSN29eoqOjiYmJISgoCICrV6+S\n", "KVPqryUXHn6MH37YSYkSJSlb1rj1nD//PJ3w3/zSpUvExsZy/vx5Bg0awKZNGzh27FiKsjzxREMa\n", "N25Gy5ZtEmpbu/a/7Nz5PXXq1OP++ysQEBDA1atX+fbbLQQHB1OlSrXbfhL/+ecLmTdvNn37DmDH\n", "ju84ePAgOXPmZNKkjzh79gx58uShRo1H6NWrD6GhFRP++65Zs5J27VoRGxurPwq9nDf0urTmazX5\n", "Wj3gezU5/UdhOlGv83K+VpOv1QOeq+nUqUgaNKjHH3/8zpQpM3jqqWfSZT9O9zp3B+BawHlg1rUB\n", "2BgTCFigPnAE2Aa0AaoADwEjrbVHr3uNJdbap5LZlU81ScgYv4S///4b4eHHuHz5Mg8//AhBg4vc\n", "WQAAEuZJREFUQUFER0cnOlz5esnVFB0dTUBAAC6XiwsXLrBu3VfUrl2HqKiLrF37JaVKlSY6Opoa\n", "NWqmOvvJkyfZtesHAgMDmT79E9avX8e5c2dT/Hq5ct1Fzpw5OXLk8E2PVa/+MAcO7OPkyZM88MCD\n", "3H13XtavX0fp0mWoWfNRmjV7moCAAGrUqJkwDF6+fJnMmTPz4487mTTpI8LDj9GzZy9y5MjBN9+s\n", "p1atOnz00TiWL18CxF0QrXDhIjz6aG1atGjFunVfsXnzRgICAihVqjQREeFERkYmvGlRsGAhXnqp\n", "J//+97+4cCHxORvZs+fgnXeGUrt2XS5cuEBk5El+++1XKlV6gBw5cnL33Xnp3bsHhw4domDBgmza\n", "tJGoqP+dc50jR07On3f/Z7dKlWrkz1+AJk2a0bx5C3bv/pGBA/snur2XO/Lly5dwdMA1GoC9X0bo\n", "dXfK12rytXrA92py+o/CdKJe5+V8rSZfqwc8W9PPP++lceP6REdfZenSVVSq9GCa78PpXuf2IdDG\n", "mOLAsusG4IeBwdbahvHLAwCstSOue04d4BkgK7DXWjsmmd34VJME/RI6ITo6mt9++5XVq1fy1Vdf\n", "cvr0KcqXv599+ywHDhzg7Nkz3HtvMapVq0G2bMGEhU1P8nXuuacgp05FUqJESaz9OWF91qxZ+euv\n", "v9zOky1bNi5evJjsdmXLGn75xbr9utcLDAwkMDCQmJgYnn76WTp0aEvp0qHky5fvjl7n0qVLfPbZ\n", "LAYM6HPTY5kzZ0508bTg4OxcvBiFuz0kX758FCtWnNy587B580aioqL4+OOplClTlpMnT7Jw4XzW\n", "rfuKP/88nWg/LVu2Yd682fqj0Mt5e19ICV+rydfqAd+ryek/CtOJep2X87WafK0e8HxN//d/q2jX\n", "rhX33FOQNWvWUaDAPWn6+k73utQMwC2ABtbarvHL7YDq1tpXbv0qyUr/E5LFr129ejXhPNdrn3Bv\n", "27aNNWvW0Lp1a3Lnzk2ePHmIiYlJdGjzli1bWL58OV26dKFEiRKcP3+eiIgI8uXLx+rVq5k8eTKH\n", "Dx/G2psH2KCgIHLlysW4ceO4fPkyHTt2BCBv3rxERkbSrFkzPvjgA0qVKsW+ffvYtm0bGzduZOfO\n", "nVSrVo2ePXty/PhxRo8eTcGCBXG5XDRt2pTQ0FA2b95MREQEtWvXJjQ0lJiYmDS5aMG1nHPmzGHp\n", "0qWEhoZSokQJvvvuO7Jnz06pUqUSart69SrffPMN1lq2bNnCjBkzAGjYsCHt2rXj+eefJyYm5pZH\n", "FCRl+/btREREUKdOnWsX79IfhV5Of3B4P1+rB3yvJqf/KEwn6nVeztdq8rV6wJmaxo0bw5Ahb1O5\n", "chUWL15B1qxZ0+y1ne51qRmAnwUapvUArB9Y7+drNaV1PStWLOf06VO0bNmGoKAgIiMjyZQpkLvu\n", "yg3AuXNnyZYtOE3OHb4VJ79H0dHRxMbGpml9TjfKdOJT/c7X+gL4Xk2+Vg/4Xk3qdd7P137mwPdq\n", "8rV6wJmaYmNj6dnz7yxYMJfnnmvN+PGTUn3nlWuc7nWp+Qv1CFD0uuWiwM0nTor4mcaNmyZazps3\n", "b6LlnDlzeTKOx93JJ70iIiIi4n1cLhejR4/l118PsGDBXMqVK88rr/RyOlaaSM2xktuBMsaY4saY\n", "zEArYGnaxBIRERERERGnZM2alRkzPqNgwUIMHTqY1atXOh0pTbg1ABtj5gCbgLLGmEPGmE7W2qtA\n", "T2A1sAeYZ63dm35RRURERERExFMKFLiHsLC5ZM2alZde6sKePT85HSnV3DoE2lrb5hbrVwK+8VaA\n", "iIiIiIiIJFKx4gOMHz+JLl060L59K1atWktISIjTsVIs9ZeLFREREREREZ/VrNnT9O8/kEOHDtKp\n", "U1suXbrkdKQU0wAsIiIiIiIit/Xaa/1o3vxZvv12C336vIq7dxPyNhqARURERERE5LZcLhdjxnzE\n", "Qw9VZv78OYwf/6HTkVJEA7CIiIiIiIgkK1u2bMycOYdChQozdOhgVq1a4XSkO6YBWERERERERNxy\n", "7crQ2bJl46WXuvDTT7udjnRHNACLiIiIiIiI2ypUqMT48ZOJirpA+/atOH78uNOR3KYBWERERERE\n", "RO5I06ZP8sYbgzh8+BCdOrXlr7/+cjqSWzQAi4iIiIiIyB3r1asvzzzzHNu2bc0wV4bWACwiIiIi\n", "IiJ3LO7K0BOoXLkKCxbMZdy4D5yOlCwNwCIiIiIiIpIiWbNmZcaMORQuXIRhw95lxYrlTke6LQ3A\n", "IiIiIiIikmIFChRg1qy4K0O//HJXdu360elIt6QBWERERERERFKlQoWKTJgwhaioC3To0JqIiAin\n", "IyVJA7CIiIiIiIikWpMmzRg4cDBHjhymY8fnvfLK0BqARUREREREJE28+uprtGjRiu++20bv3j29\n", "7srQGoBFREREREQkTbhcLt5/fxyVK1dl4cL5fPjhaKcjJaIBWERERERERNJM1qxZmTkz7srQ//rX\n", "P1m+fKnTkRJoABYREREREZE0lT9/fsLC5hEcnJ2ePbuxa9cPTkcCNACLiIiIiIhIOggNrcDEiZ9w\n", "8eJF2rf3jitDawAWERERERGRdNGoURMGDnyHo0eP0LFjG6fjkMnpACIiIiIiIuK7XnmlF7/88jPz\n", "589xOooGYBEREREREUk/LpeL0aPH8ttvvzodRYdAi4iIiIiISPrKkiULCxcuczqGBmARERERERFJ\n", "f1mzZnU6ggZgERERERER8Q8agEVERERERMQvaAAWERERERERv6ABWERERERERPyCBmARERERERHx\n", "CxqARURERERExC9oABYRERERERG/oAFYRERERERE/IIGYBEREREREfELGoBFRERERETEL2gAFhER\n", "EREREb+gAVhERERERET8ggZgERERERER8QsagEVERERERMQvaAAWERERERERv6ABWERERERERPyC\n", "BmARERERERHxCxqARURERERExC9oABYRERERERG/oAFYRERERERE/IIGYBEREREREfELGoBFRERE\n", "RETEL2gAFhEREREREb+gAVhERERERET8ggZgERERERER8QsagEVERERERMQvaAAWERERERERv6AB\n", "WERERERERPyCBmARERERERHxCxqARURERERExC9oABYRERERERG/oAFYRERERERE/IIGYBERERER\n", "EfELGoBFRERERETEL2gAFhEREREREb+gAVhERERERET8Qqb03oExJjuwDnjHWvtFeu9PRMTTjDHl\n", "gH8AeYHV1tqpDkcSEUkX6nciktF54hPgfsA8D+xHRMQR1tqfrbXdgdZAA6fziIikF/U7Ecno3PoE\n", "2BgzDWgCHLfWVrhufUNgDBAIfGKtfe+G5z0O7AGyplliEZF0ktJeF79NM+BlYIqH4oqIpJj6nYj4\n", "K3cPgZ4OjANmXVthjAkExgP1gSPANmPMUqAK8BAwEqgDZAfKAxeNMSustbFpF19EJE2lqNdZa49a\n", "a5cBy4wxS4BFHk8uInJn1O9ExC+5NQBbazcYY4rfsLoasN9a+zuAMWYu8JS1dgQQFr/NW/GPvQCc\n", "0PArIt4spb3OGFMHeIa4o13WeiywiEgKqd+JiL9KzUWwCgOHrls+DFRPakNr7Uw3X9MVEpIzFZG8\n", "k2ryfr5WD/hmTQ5JttdZa78Gvr7D1/W5fudr9YDv1eRr9YBv1uSg9Oh36nUZgK/V5Gv1gG/W5JTU\n", "XARLn+aKiD9QrxMRf6F+JyI+LzUD8BGg6HXLRYl7p1BExJeo14mIv1C/ExGfl5pDoLcDZeLPHzkK\n", "tALapEUoEREvol4nIv5C/U5EfJ5bnwAbY+YAm4CyxphDxphO1tqrQE9gNXG3Oppnrd2bflFFRNKX\n", "ep2I+Av1OxHxV67YWJ3uISIiIiIiIr4vNecAi4iIiIiIiGQYqTkHOMWMMQ2BMUAg8Im19r0kthkL\n", "NAKigI7W2h2eTXlnkqvJGNMW6Ae4gHNAd2vtjx4P6iZ3vkfx21UFNgMtrbWLPBjxjrn5c1cX+AAI\n", "Ak5aa+t6MuOdcONnLh/wKXAPcb/ro6y1Mzyd013GmGlAE+C4tbbCLbbxqb4Qv41P1aRe5zz1OvU6\n", "T1OvU69zgnqdel1KefwTYGNMIDAeaAiUB9oYY+67YZvGQGlrbRmgGzDR0znvhDs1Ab8Cta21FYEh\n", "wGTPpnSfm/Vc2+49YBVx/wPwWm7+3OUGJgDNrLWhQAuPB3WTm9+jnsAOa+0DQF1gtDHGkTe93DSd\n", "uHqS5It9wRdrQr3OUep16nWepl6nXucE9Tr1utRw4hDoasB+a+3v1torwFzgqRu2eRKYCWCt3Qrk\n", "NsYU8GzMO5JsTdbazdbaM/GLW4EiHs54J9z5HgG8AvwHOOHJcCnkTk3PAwuttYcBrLUnPZzxTrhT\n", "zzEgV/zXuYDI+AuceCVr7Qbg9G028bm+gA/WpF7nOPU69TpPU69Tr3OCep16XYo5MQAXBg5dt3w4\n", "fl1y23hzY3Gnput1AVaka6LUSbYeY0xh4n4xr71b4+1XU3Pne1QGuNsYs9YYs90Y095j6e6cO/VM\n", "Ae43xhwFfgD+4aFs6cUX+4Iv1nQ99TrPU69Tr/M09Tr1Oieo16nXpZgTA7C7v1A3Hnrhzb+Ibmcz\n", "xtQDOgP90y9OqrlTzxhggLU2lrjvlVcfKoN7NQUBDwGNgQbAIGNMmXRNlXLu1PMmsNNaWwh4AJhg\n", "jMmZvrHSnS/2BV+sSb3OOep16nWepl6nXucE9Tr1uhRzYgA+AhS9brkocRP/7bYpEr/OW7lTE8aY\n", "isS9e/OktfZ2hwQ4zZ16KgNzjTG/Ac8CHxljnvRQvpRwp6ZDwBpr7UVrbSSwHqjkoXx3yp16agIL\n", "AKy1B4DfAOORdOnDF/uCL9akXucs9Tr1Ok9Tr1Ovc4J6nXpdijlx4vR2oIwxpjhwFGgFtLlhm6XE\n", "neg91xhTA/jTWhvh0ZR3JtmajDH3AouAdtba/R5PeGeSrcdaW/La18aY6cAya+1ST4a8Q+783C0B\n", "xsdfiCALUB1435Mh74A79fwM1Ac2xp9TYYi7aEdG5XN9AR+sSb3Ocep16nWepl6nXucE9Tr1uhTz\n", "+CfA8Sdr9wRWA3uAedbavcaYvxtj/h6/zQrgV2PMfmAS8LKnc94Jd2oC3gbyABONMTuMMd86FDdZ\n", "btaTobj5c/czcVc+/JG4C1pMsdbucSrz7bj5PfoXUMUY8wPwJdDPWnvKmcTJM8bMATbFfWkOGWM6\n", "+3pf8MWaUK9zlHqdep2nqdep1zlBvU69LjVcsbHefAqGiIiIiIiISNpw4hxgEREREREREY/TACwi\n", "IiIiIiJ+QQOwiIiIiIiI+AUNwCIiIiIiIuIXNACLiIiIiIiIX9AALCIiIiIiIn5BA7CIiIiIiIj4\n", "hUxOB5CMwxjzDjDMWnslfvld4Cdr7fx02l9HYAyw21r7aPy6UcAzQHEg1J0bmhtjagITrluVHwi3\n", "1lY2xmQGvgVKAa2ttV+kaREikuGo14mIP1CvE3+lAVjuxNvASOAKgLV2cDrvLxZYY61ted26xcQ1\n", "zw3uvoi1dhPw4LVlY8zia8+31l4GHjDGrI3fn4iIep2I+AP1OvFLGoDFLcaYa++0bTLGRAP1gA+B\n", "bdbaCfHvIpYDcgJlgR3Av4lrrEWBRdbafvGvVRAYC9wLZAPmWGuHJ7FbV/w/Cay1G+NfI6mM1YHh\n", "QK74VW9ba1fcsE1+4Amg2x2ULyJ+Qr1ORPyBep34M50DLG6x1vaI//Jha+1D1tozxL2zdv27aw8B\n", "rQFDXLMcRlxTqgi8YIwpFb/dLGCstbY6UAVobIypn5p8xpjcwETgeWttFaAZMMkYc9cNm3YAVltr\n", "T6RmfyLim9TrRMQfqNeJP9MnwJKWVllrzwEYY34EdsafV3LFGGOBUsaYcKAukO+6d/tyEPcu45ep\n", "2HdNoASw8rrXjSHuHJDvr9uuE9A/FfsREVGvExF/oF4nPkkDsKSVWODSdcvRSSxnIu6ogxigirU2\n", "Oo0z/GitrXOrB40xNYA8wIpbbSMikgz1OhHxB+p14rN0CLTciXNA7hvWuW74923Fv5O4AXjj2jpj\n", "TFFjTIEU5Ll+n5uAMsaYute9btUbtu8MzLLWxqRgXyLiP9TrRMQfqNeJX9InwHInRgNfGWOiiLtY\n", "AvzvXJEbzxshieVr2gIfxB9OA3CWuCYWkVwAY8xYoDlQAPjSGHPSWlvBWvunMeZJYKQxZgyQGThg\n", "jHnSWhtrjMkGtASquVWpiPgz9ToR8QfqdeKXXLGxukK4eKf4+8U1sdY+54F9rQVG3nh1QRGR9KZe\n", "JyL+QL1OvIUOgRZvFgVUMcZ8k147MMYEGWN2Enehhb/Saz8iIrehXici/kC9TryCPgEWERERERER\n", "v6BPgEVERERERMQvaAAWERERERERv6ABWERERERERPyCBmARERERERHxCxqARURERERExC/8P0v5\n", "IBErmY/aAAAAAElFTkSuQmCC\n" ], "text/plain": [ "<matplotlib.figure.Figure at 0x7f1f4c3aaad0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16,5))\n", "\n", "subplot(131)\n", "\n", "title('Convergence of feedforward to fixed-point',fontsize=fontsize)\n", "plot(time,[sum((F_fixed - F_vals[t])**2)/sum(F_fixed**2) for t in xrange(TT)],c='black')\n", "xlabel('time [1e7]')\n", "yscale('log')\n", "\n", "subplot(132)\n", "\n", "title('Convergence of fast recurrent to fixed-point',fontsize=fontsize)\n", "plot(time,[sum((Wf_fixed - Wf_vals[t])**2)/sum(Wf_fixed**2) for t in xrange(TT)],c='black')\n", "xlabel('time [1e7]')\n", "yscale('log')\n", "\n", "subplot(133)\n", "\n", "title('Convergence of slow recurrent to fixed-point',fontsize=fontsize)\n", "plot(time,[sum((Wd_fixed - Wd_vals[t])**2)/sum(Wd_fixed**2) for t in xrange(TT)],c='black')\n", "xlabel('time [1e7]')\n", "yscale('log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that we cheat here a little bit: the rate covariance matrix is computed after learning, and so the convergence within training should not be taken too literally!\n", "\n", "How good are the fixed points? Before we evaluate the reconstruction performance on the testing data, an easy test is to see whether the input directions and the slow recurrent connections overlap. Ideally, to avoid signal inference, the two should project into orthogonal subspaces. To test this, we look at the propagation of the two signal directions. Starting from a signal in direction F[:,0] we propagate the signal for N/2 steps by means of the delayed projection matrix Wd. We do the same for the signal in direction F[:,1]. Optimally, the input signal should be projected each time into another, yet unoccupied, orthogonal subspace of the population response. In particular, the signal should never be projected into a subspace that is already occupied by the other signal path (i.e. projections of the other signal direction) nor by previous signals from the same signal path. To test if this is true in the converged solution, we first calculate the signal path:" ] }, { "cell_type": "code", "execution_count": 198, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def get_propagatation_paths(t):\n", " V0 = [dot(matrix_power(Wd_vals[t],k),F[:,0]) for k in xrange(N//2)]\n", " V1 = [dot(matrix_power(Wd_vals[t],k),F[:,1]) for k in xrange(N//2)]\n", "\n", " #V0 = [V0[k]/norm(V0[k]) for k in xrange(N//2)]\n", " #V1 = [V1[k]/norm(V1[k]) for k in xrange(N//2)]\n", "\n", " V0 = vstack(V0)\n", " V1 = vstack(V1)\n", " \n", " return V0, V1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we look at the overlaps by showing the matrix of vector products, i.e. the overlap of signal subspaces:" ] }, { "cell_type": "code", "execution_count": 203, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_overlaps_I1(t,figtitle=''):\n", " V0 = [dot(matrix_power(Wd_vals[t],k),F[:,0]) for k in xrange(N)]\n", " V0 = [V0[k]/norm(V0[k]) for k in xrange(N)]\n", " V0 = vstack(V0)\n", " \n", " imshow(abs(dot(V0,V0.T)),interpolation='nearest',vmin=0,vmax=1, zorder=1)\n", " title('Propagation of input direction')\n", " xlabel('Signal-direction at -x time-steps')\n", " ylabel('Signal-direction at -y time-steps')" ] }, { "cell_type": "code", "execution_count": 204, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA6YAAAD/CAYAAADi68tJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmYZGV5//93z8IyrIoQBVEU9QZFWb4oREUl3xiNcYn8\n", "JOqgEUlMIgrIN9GIxkSTMCYkRjBqDKAsBlFQBInRRGMAUREJAiJwK4qDgOAgy8CwzdK/P85pKJpe\n", "TtU81fXMzPt1XXN116lTd911qj7V85x1bHx8HEmSJEmSRmXeqBuQJEmSJG3YHJhKkiRJkkbKgakk\n", "SZIkaaQcmEqSJEmSRsqBqSRJkiRppByYSpIkSZJGyoFpJSLirojYaY6fc9OIODci7oiIz01x/1ER\n", "ccJc9tRVRBwcEd/suT0nyy8i9ouIa4b9PKqL+eyP+dRcM6P9MaOaa2a0PxtqRheM6okHFRE/A7YD\n", "VgMrgK8Ab8/MFSNsqy8RcR7w6cz85MS0zNxiBK28hmZZPjoz10y+MzM/OBdNRMSLaJbHjoPWGNby\n", "i4g1wFMy86ft83wT2GUYz7U+MJ9Fmc9ZmM/+mdGizOgszGj/zGhRZnQWtWV0XdxiOg68vH2D9gL2\n", "Bv5i8kwRUfOge3zUDbSeCPxoqrCuTyJibT/nY0Ua2TCYz3LMZzfmsz9mtBwz2o0Z7Y8ZLceMdlNN\n", "Rmv+UM8qM2+KiK8Cz4AHR/1vB46kGXTvHBFvAd4FPBq4EPiTzPxFz/xHAO8AtgROAv48M8cjYmfg\n", "BOBZNAH7T+BtmXln+9i9gE8COwNfbef5UWa+LyIeBXwaeA7NMv5W+7w3RsTRwH7AvhFxLHBSZh7e\n", "u8YiIrYC/hl4KXBP28eStq+DgT8EvgP8AXAHcGhmfnWqZRQRuwL/AuwO3AgclZnnRsQHgHcDYxHx\n", "u8DhmXnSpMe+H9g5M9/Y7j7wU+Bg4G+ARcCHM3NJz7y7AauAlwE/Bt6cmVf0LOsH18hExMnAz4EP\n", "0qwN3Cgi7mqX49My8+ZJvWzTvj8vBK4B/mvS/b3L72TgXpovpBcAr2x3S/jndtnf3fb+z+1j57XL\n", "4hCaNWsJvBr4TFv+8ogYb+9fRs9ar+mWb89rXNHTx1XA4ollsL4zn+az537zWSEzakZ77jejFTKj\n", "ZrTn/g0io+viFlNoR/YRsSPw28D3e+57FfBs4OkR8RvAEuBA4HHAUuCzk2r9LvB/aNZKvYrmTZlw\n", "dPu4XYEdgfe3z7sR8EXgU8CjgNPbOhNriMZowvyE9t+9wEcBMvO9wDdpwr9FZh4+xev7Z2AL4Ek0\n", "H9DfB97cc/9zaD602wDHtM/1CBGxEDiX5gtlW+Aw4LSIeFpm/lW7bD7b9nHSFCWmWuP1POBpwP8F\n", "/jIioue+VwJntMvkM8DZETF/qt7a2uOZeQ/NF9NNbR9bTg5r62M0X16PpXmP3jxNfxNeD/xNZm5O\n", "8+V2Ls3nZPu293dExG+18/4p8DrgtzNzS5ovwnsy8wXt/c9qezuz9wlmWr49s72W5nPzKOBams/U\n", "+s58mk/zWTczakbNaN3MqBndIDO6Lm4xHaP5IKwC7gT+neaDN+GDmXkHQEQcBHwyMy9rbx8F3B4R\n", "T8jM69v5/76d/452zc7r28f8BPhJO8+tEfFh4C/b2/sC8yfWRABfjIiLJxrIzNtoAk37vEuAb0zx\n", "Oh6h/YC/Ftg9m+MJVkTEh4A30nxBACzNdr/9iDgV+HhEbJeZv5xUbl9gs8z8u/b2/0TEv7ev8QNt\n", "DzNtvp/qvg9k5v3AFRFxOc0alGzvuyQzz2r7+ieaIOxLsyZtpvoz7kLQLpMDgN0y817ghxFxCs3a\n", "memcnZnfaX9/FvCYzPzb9vZ1EXEiTUj/i2bN3J9l5o8BJtZ+dTDb8gU4KzMvaV/HacA/day9rjKf\n", "5tN81s2MmlEzWjczakY32IyuiwPTceBVmTk5ABN+3vP744BLJm5k5oqI+BWwA3D9FPNfT7OmgYj4\n", "NeA44Pk0a3XmAbe1821Pszl78vNOrOFaBHwYeAnNGgSAzSNiLDMn1n5MtxbkMcBCmrVevX3t0HP7\n", "wTUtmXlPuzJnc2ByYLef9Ppo6+7A4HrX8tzTPu+EG3r6Go+IG9oe1ta2NJ/Vye/VdMZ5+PvzRGD7\n", "iLi9Z9p84IL298fz0JdzP6ZbvhOveRy4pee+e3n48lofmU/zCeazZmbUjIIZrZkZNaOwgWZ0Xd2V\n", "dya9QbgJ2GniRkRsRrNbQO+b+YRJv0/ct4TmjGi7ZeZWNGtyJpbXL3jkh/4JPc/9pzS7ATynfewL\n", "efham5k2zd8KrOztu619w5Rzz+wmYMeI6F1T88Q+avV78PqDZxuLZn/2x7c9QBPuRT3zPq6n/mzP\n", "s4xmn/7J79VMemteD1yXmY/q+bdlZr68vf/nwFNmqTeV6Zbv5C9zPcR8PsR8NsxnXczoQ8xow4zW\n", "xYw+xIw21puMrotbTPtxOnB6RHyGZl/1JcBFPbs3APxZRHyXZm3R4cCH2umb0+xCsTwidgDe2fOY\n", "7wCrI+LtwCeA36HZ3/8bPY+9F7gzIh4N/NWkvm6hOZj8ETJzdUScARwdEb9P8wVzJPAP/b544CKa\n", "oLyr3eXgecDLaY8h6KDfs3T9n4h4Nc3+6IcD97U9AFwGHBQRfwG8mGb3hIndQm4BtomILTNz+eSi\n", "7TI5C3h/RBxCc0zCm4DrOvZ9MXBXRLyL5riGB2iOp9ik3f3gROBvIuIqmjVKzwRuaHdVmXivpjqQ\n", "+7vMvHyrOctZpcyn+QTzWTMzakbBjNbMjJpRWI8yur5tMX3YGonM/G/gfcAXaEb9T6LZ37rXOcD/\n", "0hww/O88tH/7B2gOFL+T5gP4hYn6mfkAzb7gfwDcDhzUPvaB9rHHApvSrBX6Ns3ZuHp7Ow54TUTc\n", "Fs3+/pMdRnOWq5/SHEB+Gs2ZuiZe4+Q1L1OuicnMlcAraA6cX0ZzYPobM/NHM9SaXHd80u2Z5j2H\n", "5riB22iWyQGZubq9/4i2l9uBxfQcm5CZ19B8uf60XSaPnaL+22m+CG+meY8+NUNvD+s7m9OEvxzY\n", "g2aZLgOOpzlDHTT7w59Bsx/+nTRnh9ukve/9wCkRcXtEvKa3dvs56Hf59rt2bn1iPh/++s0n5rMy\n", "ZvThr9+MYkYrY0Yf/vrNKOtXRsfGxzfcjMekUzuvZa3vAh/PzFPWvrN1T0T8Fc2yfOOoe9H6wXyW\n", "Yz41DGa0HDOqYTCj5ZjRubG+78o7NBHxAuBHNGuLDqK5ttGU11jaQLjLjaphPh/BfKoqZvQRzKiq\n", "YkYfwYzOgQ19YLo2m4uDZrP4ZjT7a78mM2+Z+SHrtdl2l5D6ZT7LMZ8aBjNajhnVMJjRcszoHNig\n", "d+WVJEmSJI3e+nbyI0mSJEnSOqaaXXnHxsaKbrr96U/X+jjvoVm6dOnsM3W0fPkjzjq9Vi644ILZ\n", "Z+rDNttsU6zWoYceWqwWwBVXXFGs1oUXXlisFsBRRx1V3bEMJTN6//33lyoFwHXXTXdG9f5tttlm\n", "xWoBbLnllrPP1NGyZcuK1QLYaqutitVatWpVsVoAa9asKVZr4cKFxWoBbLvtttXlE8pmtPTeVCXr\n", "jY2VXfw197Z69erZZ+po3rwNZ1vEWOk3ohAzuv5xuQ1syhe74XxLSZIkSZKq5MBUkiRJkjRSDkwl\n", "SZIkSSPlwFSSJEmSNFJDPflRRLwUOBaYD5yYmX8/zOeT1B8zKtXNjEp1M6NSOUPbYhoR84GPAi8F\n", "ng68PiJ2HdbzSeqPGZXqZkaluplRqaxh7sr7HODazPxZZq4EPgu8aojPJ6k/ZlSqmxmV6mZGpYKG\n", "OTDdAfh5z+0b2mmS6mBGpbqZUaluZlQqaJgD07JX/pVUmhmV6mZGpbqZUamgWQemEfGnEbF1+/un\n", "IyIj4iUdat8I7Nhze0eaNUmSCjKjUt3MqFQ3MyrVocsW04Mz846I2B/YDjgEWNLhcZcAT42InSJi\n", "I+C1wJcGb1XSNMyoVDczKtXNjEoV6DIwXd3+3B/4TGZ+Cxib7UGZuQp4O/CfwFXA5zLz6kEblTQt\n", "MyrVzYxKdTOjUgW6XMf03oh4N7AYeH5EzAM26lI8M78CfGUt+pM0OzMq1c2MSnUzo1IFOu3KCzwO\n", "eFdm3gw8GThtmE1J6svBmFGpZgdjRqWaHYwZlUZubHy82wnFImJzgMy8eyiNjI0VPbPZT3/605Ll\n", "ilq6dGmxWsuXLy9WC+CCCy4oWm+bbbYpVuvQQw8tVgvgiiuuKFbrwgsvLFYL4Kijjpp1F6LJ1qWM\n", "3n///aVKAXDdddcVq7XZZpsVqwWw5ZZbFqu1bNmyYrUAttpqq2K1Vq1aVawWwJo1a4rVWrhwYbFa\n", "ANtuu23f+YR1K6Nd/28winpjYwMt/mnV3Nvq1atnn6mjefOGeSGGuowN+EaY0TJK56BmLreBTfli\n", "u5yVd9eI+B5wK3BrRFwcEbuU7k7SYMyoVDczKtXNjEp16LL67GTgn4FF7b+PtNMk1eFkzKhUs5Mx\n", "o1LNTsaMSiPX5eRHm2XmqT23/y0i/nxYDUnqmxmV6mZGpbqZUakCXQam/xsR+2XmNwEi4vnA/5Zu\n", "pPQxoU9+8pOL1TruuOOK1QI45JBDitUqebwqlD9m4ZZbbilW66677ipWC2C33XYrVqvk8XADmJOM\n", "ljwudOONNy5WC+BNb3pTsVqnn356sVpQ9riuRYsWFasFZY9RL/2elsxUyeP0YKAszElGaz7WqWRv\n", "NR9bV7q3ku/DAw88UKwWwIIFXf4L2U3p5TZAb2Z0A8lBaTX3VlLpv6Pz58+fcnqX5O4BnB8R17a3\n", "dwZ+0O6LP56ZzynToqQBmVGpbmZUqpsZlSrQZWB6xAz3lV0lImkQZlSqmxmV6mZGpQrMOjDNzPMA\n", "ImLbzCx7rQJJa82MSnUzo1LdzKhUhy6Xi9knIpYC329vPzsijh96Z5I6MaNS3cyoVDczKtWhy1k5\n", "Pgy8DFgGkJnfA54/zKYk9cWMSnUzo1LdzKhUgS4D040y84eTppU9tZuktWFGpbqZUaluZlSqQJeB\n", "6X0RscXEjYh4OnDv8FqS1CczKtXNjEp1M6NSBbqclXcJ8J/A9hFxCvBS4A1D7UpSP8yoVDczKtXN\n", "jEoV6HJW3v+IiARe0k76m8y8dqbHSJo7ZlSqmxmV6mZGpTrMOjCNiHdl5jHAx6eYJmnEzKhUNzMq\n", "1c2MSnXocozp6ztOkzQaZlSqmxmV6mZGpQpMu8U0Il4M/BbN/vbHAGPtXVvNRWOSZmZGpbqZUalu\n", "ZlSqy0xbTB8AVgBr2p93tz+vBl49/NYkzcKMSnUzo1LdzKhUkWm3mGbm+cD5EfH5zLxyDnuS1IEZ\n", "lepmRqW6mVGpLl2OMX1JRGwFEBGfjohrIuIlsz1I0pwxo1LdzKhUNzMqVaDLwPTgzLwzIvYHtgP+\n", "gOZ6T5LqYEaluplRqW5mVKpAl4Hp6vbn/sBnMvNbPHRwuKTRM6NS3cyoVDczKlVg1uuYAvdGxLuB\n", "xcDzI2IesNFw25LUBzMq1c2MSnUzo1IFugxMDwYOBd6VmTdHxM7AaUPtqoDjjjuuWK0jjjiiWC2A\n", "H/zgB8VqHXLIIcVqAey///5F633gAx8oVuukk04qVgtg8eLFxWoddNBBxWoN4GDmIKPXXXddsVpv\n", "etObitUCOOWUU4rVKv1eXnllufNpLF++vFgtgN13371YrRtvvLFYLYAtttiiaL0RO5g5yOj4+HiV\n", "tQDGxsptfFqzZk2xWqXdeeedRetttFG5sdHChQuL1QK46KKLitXaY489itUCWLCgy39vH+ZgzGix\n", "WqV7K12vpJLLrbSSy23+/PnFas1k1uRmZgJHAETEUzPzx8AHh92YpG7MqFQ3MyrVzYxKdehyjGmv\n", "M4bShaRSzKhUNzMq1c2MSiPS78BUkiRJkqSi+h2YfmsoXUgqxYxKdTOjUt3MqDQinQemEbFtZr59\n", "mM1IGpwZlepmRqW6mVFptGY9+VFE7EOzv/184PER8WzgLZn5Rx0euyNwKs3FiseB4zPzI2vXsqRe\n", "ZlSqmxmV6mZGpTp02WL6YeBlwDKAzPwe8PyO9VcCR2bmM4B9gbdFxK6DNCppWmZUqpsZlepmRqUK\n", "dBmYbpSZP5w07YEuxTPz5sy8rP39buBqYPv+WpQ0CzMq1c2MSnUzo1IFugxM74uIB690HhFPB+7t\n", "94kiYidgT+C7/T5W0ozMqFQ3MyrVzYxKFZj1GFNgCfCfwPYRcQrwUuAN/TxJRGwOfB44ol2bJKkc\n", "MyrVzYxKdTOjUgVmHZhm5n9ERAIvaSf9bWb+uOsTRMRC4AvAv2Xm2YO1KWk6ZlSqmxmV6mZGpTp0\n", "2WJKZv4E+Hi/xSNiDPgkcFVmHtvv4yV1Y0aluplRqW5mVBq9LpeL2Y9mF4en9Mw/npnbdaj/PJpd\n", "Ia6IiO+3047KzK8O0qykRzKjUt3MqFQ3MyrVocsW008B7wEuBVb3UzwzL6TbCZYkDc6MSnUzo1Ld\n", "zKhUgS4D09sz88yhdyJpUGZUqpsZlepmRqUKdBmYfi4i3gp8DrhvYmJm3jO0riT1w4xKdTOjUt3M\n", "qFSBLrse3Ax8CLgVuLv9d9cwm5LUFzMq1c2MSnUzo1IFumwx/SDwAuD7mdnXfveS5oQZlepmRqW6\n", "mVGpAl0Gpjdk5iVD70TSoMyoVDczKtXNjEoVGBsfH59xhoj4G2AjHrnf/VUlGznvvPNmbqRPe++9\n", "d7FaRx55ZLFaACeeeGKxWrvsskuxWgCLFy8uWu+d73xnsVoHHHBAsVoA3/ve94rV2nfffYvVAjj3\n", "3HPHus47Vxm94YYbimV05513LlUKgAMPPLBYrdNOO61YLYDNNtusWK2xsc4fi07uvffeYrU22WST\n", "YrUAHnjggWK1Si+3+++/v6+Cc5VRoFhGZ/u/wSjNm1f2BKgrV64sVmvVqlXFagFsv/32xWpde+21\n", "xWoB/OpXvypWa//99y9WC+CGG24wo30q+T1Z+ju35u+jkr2VXm4llfyeBFi4cOGUL7bLFtM30gTp\n", "9yZNf9LaNiWpCDMq1c2MSnUzo1IFZh2YZuZOc9CHpAGZUaluZlSqmxmV6jDtwDQiNs7M+yNi0VT3\n", "ewptabTMqFQ3MyrVzYxKdZlpi+lFwJ40p8yebByYP5SOJHVlRqW6mVGpbmZUqsi0A9PM3LP9WfYs\n", "A5KKMKNS3cyoVDczKtVl1iBGxLFdpkkaDTMq1c2MSnUzo1IduqwheuEU015UuA9JgzOjUt3MqFQ3\n", "MypVYKaTHx1Ic9rsnSLizJ67tgJWDLsxSTMzo1LdzKhUNzMq1WWmkx/9CPgy8Bzg34GJC6HeCfz3\n", "kPuSNDszKtXNjEp1M6NSRWY6+dHlwOURcW5m/moOe5LUgRmV6mZGpbqZUakusx5jalCluplRqW5m\n", "VKqbGZXq4OmxJUmSJEkj5cBUkiRJkjRSXa5j+q8R8cy5aEZS/8yoVDczKtXNjEp1mOmsvBMS+EJE\n", "3Ax8DPhCZq4abluS+mBGpbqZUaluZlSqQJeTH/0TEMAS4CDgZxHx1xHxuGE3J2l2ZlSqmxmV6mZG\n", "pTp0OsY0M8eB7wLnA+PAvsAlEXHkEHuT1JEZlepmRqW6mVFp9LocY7p3RHwKuBJ4LLBfZv4WsCvw\n", "/4bcn6RZmFGpbmZUqpsZlerQ5RjTk4CPAodl5oqJiZm5PCKOLtXI8uXLS5UCYOnSpcVqHXLIIcVq\n", "AVx44YXFal1zzTXFagGcccYZReu94hWvKFZr7733LlYL4Pzzzy9W6+tf/3qxWgOYk4xuueWWpUox\n", "b17ZE4JfeeWVxWptttlmxWoBrFixYvaZOpo/f36xWgDj4+PFapV8nQBjY2PFapV8nQOak4yWfJ0V\n", "LLNprVy5smi9hQsXFqt1++23F6sFcPHFFxer9djHPrZYLYBzzjmnWK3TTz+9WK0BzUlGSyr5HQl1\n", "f3+UfK1r1qwpVgvq/ltVst6CBV2GjAWeZ7YZMvPBs5RFxAsz8/ye+z4xrMYkdWNGpbqZUaluZlSq\n", "Q7+bLY4dSheSSjGjUt3MqFQ3MyqNSNn96SRJkiRJ6lO/A9Mzh9KFpFLMqFQ3MyrVzYxKI9LXwDQz\n", "lwyrEUlrz4xKdTOjUt3MqDQ6Qz/FUkTMBy4BbsjMcqdolVSEGZXqZkaluplRqYy5OMb0COAqmosV\n", "S6qPGZXqZkaluplRqYBZB6YRsVWXadM89vHAy4ATgbIXXJIEmFGpdmZUqpsZlerQZYvpeVNM+5+O\n", "9T8MvBMoezVbSb3Om2KaGZXqcd4U08yoVI/zpphmRqU5Nu0xphGxENgImBcRi3ru2hpYNPWjHvb4\n", "lwO/zMzvR8SL1rZRSQ9nRqW6mVGpbmZUqstMW0zfC9wFPBO4u+ff1cBnOtR+LvDKiLgOOB34jYg4\n", "de3aldTDjEp1M6NS3cyoVJGx8fGZj9OOiI9l5tvW5kki4oXAn810prIvfelLRQ8Y33nnnYvVWr58\n", "ebFaAIccckixWtdcc02xWgC77bZb0Xqf/vSni9U666yzitUC+NCHPlSs1po1ZffguffeezsfpzJX\n", "GV2+fHmxjP7ar/1aqVIARESxWtdee22xWgArVqwoVmv+/PnFagHM9v3fj9IZGBsrd6hWydfZ1uur\n", "ubnK6HjBF1p6mZVU+rO2cOHCYrVuv/32YrUAbr311mK1nv70pxerBXDOOecUq7X55psXqwWw3377\n", "VZlRKj45UsnMl/z+Ll1vA/tbVazWEN7TKQvOeozp2ga1R7VhlNZlZlSqmxmV6mZGpTrMeh3TiNgd\n", "+ASwB7BxO3k8Mzuvus/M84HzB+pQ0ozMqFQ3MyrVzYxKdZh1YAr8C/A+4EPAbwOH0ux/L6kOZlSq\n", "mxmV6mZGpQp0uVzMJpn5dWBeZt6UmX8BvGbIfUnqzoxKdTOjUt3MqFSBLltMV7U/b4+IPYAbgG2G\n", "15KkPplRqW5mVKqbGZUq0GVg+rmIeAywBLgQmA/85VC7ktQPMyrVzYxKdTOjUgVmHZhm5sQ1Nb4a\n", "EY+m2d2h7PVTJA3MjEp1M6NS3cyoVIcuW0wflJkPAA8Mo5ELLrigaL2S1+7Zf//9i9UCWLx4cbFa\n", "Z5xxRrFaAFdeeWXRekcffXSxWieffHKxWgBLly4tVuuLX/xisVprY5gZXbZsWbFaixYtKlYLyl5r\n", "uPS1ukpee3T16tXFagEsWNDXn4AZ1Xzdy3nzupxOYW4MM6M1X0/vzjvvLFZr0003LVYLyl579FGP\n", "elSxWgB33HFHsVp33132XD5vfetbi9VasmRJsVpra5gZ1WBKXnu09N+D0tdFLank93jp/39Md/3o\n", "ev5aS5IkSZI2SA5MJUmSJEkj5cBUkiRJkjRSsx5gFBG7AH8B7Nwz/3hmPmeYjUnqxoxKdTOjUt3M\n", "qFSHLme++CxwBnASMHHka71nuZA2PGZUqpsZlepmRqUKdBmYjmVmPadLkzSZGZXqZkaluplRqQJd\n", "jjH9TkTsPvROJA3KjEp1M6NS3cyoVIEuW0z3BQ6JiATua6e5371UDzMq1c2MSnUzo1IFugxM3zHF\n", "NPe7l+phRqW6mVGpbmZUqsCsA9PMPA8gIjZrb68Yck+S+mBGpbqZUaluZlSqw6zHmEbEzhFxEfAr\n", "4FcR8e2IePLwW5PUhRmV6mZGpbqZUakOXU5+9K/A8cCi9t8J7TRJdTCjUt3MqFQ3MypVoMsxpttm\n", "5qd6bp8UEVPtiy9pNMyoVDczKtXNjEoV6LLFdHVE7DJxIyICWDW8liT1yYxKdTOjUt3MqFSBLltM\n", "3wNcEBGXt7d3B944vJYk9cmMSnUzo1LdzKhUgS5n5f1qROwG7NNOuigzlw23LUldmVGpbmZUqpsZ\n", "lerQZYspmflL4Nwh9yJpQGZUqpsZlepmRqXRm3ZgGhHfyMzfiIhbeeRFhsczc7vhtiZpJmZUqpsZ\n", "lepmRqW6zLTF9A3tz72nuG9yeNfaNttsU7TeLbfcUqzWBz7wgWK1AI4++uhitV7xilcUqwVlewP4\n", "/Oc/X6xWcy6Cck444YRitfbZZ5/ZZypvTjO61VZbFau1fPnyYrUAdt9992K1rr/++mK1AMbHy70V\n", "CxZ02smls1Wryp3bY968LufS627NmjXFapV8D/o0pxldvXp1sVpjY2PFagFstNFGxWptv/32xWoB\n", "XHzxxcVq3XHHHcVqAWy99dbFan3ta18rVgvgsMMOK1Zrp512KlYL4N577+0665xmtOR3UemMlqxX\n", "+ju3ZG8l/7ZA2b99Jf8mlzZXf0en/V9OZt7U/vp7mXlM730R8S7gmEc+StJcMaNS3cyoVDczKtWl\n", "yzD/9R2nSRoNMyrVzYxKdTOjUgVmOsb0xcBvAdtHxDHAxHb0cvvzSRqYGZXqZkaluplRqS4zbTF9\n", "AFgBrGl/3t3+uxp49fBbkzQLMyrVzYxKdTOjUkVmOsb0fOD8iPh8Zl45SPGI2Bo4EXgGzUHkh2Tm\n", "RQN1KulhzKhUNzMq1c2MSnXpcozpH0fEoyduRMQ2EXFsx/rHAf+RmbsCz6JZAyWpLDMq1c2MSnUz\n", "o1IFulx7YL/MvG3iRmb+KiJeNNuDImKr9rFvah+3Crhz0EYlTcuMSnUzo1LdzKhUgS4D06m2qnZ5\n", "3JOAZRFxErA78L/AEZl5Tx/9SZqdGZXqZkaluplRqQJdduW9JCKOi4jHR8SOEfER4HsdHrcA2Av4\n", "eGbuRXNQ+bvXoldJUzOjUt3MqFQ3MypVoMvA9EhgS+BSmjVBmwPv6PC4G4AbMnMi2J+nCa+kssyo\n", "VDczKtXNjEoVmHU3hcy8E3hzv4Uz8+aI+HlEPC0zfwT8JvDDAXqUNAMzKtXNjEp1M6NSHWYdmEbE\n", "ZsBRwJMzc3FE7ALskplnd6h/GHBaRGwE/IQBQi9pZmZUqpsZlepmRqU6dDmw+1+AXwB7tLdvBD4L\n", "zBrWzLwcePbA3UnqwoxKdTOjUt3MqFSBLseYPisz/xy4HyAz7wLGhtqVpH6YUaluZlSqmxmVKtBl\n", "YHp/742I2KTj4yTNDTMq1c2MSnUzo1IFuoTugoh4L7BJe7HhM4FzhtqVpH6YUaluZlSqmxmVKtBl\n", "YPoemt3ixTWbAAAUxklEQVQZ7gKOAb4LvH+IPUnqjxmV6mZGpbqZUakCM578KCLm01w0+C3A385N\n", "S5K6MqNS3cyoVDczKtVjxi2mmbkaeNYc9SKpT2ZUqpsZlepmRqV6dLlczDci4qPAqcDdExMz86qS\n", "jRx66KEly3HXXXcVq3XSSScVqwVwwAEHFKu19957F6sFcPLJJxetFxHFah199NHFagFceumlxWod\n", "fvjhxWoNYE4yumrVqmK1Nt5442K1AG688cZitTbZZJNitQBWrFhRrNb4+HixWgDz5pU7t8eaNWuK\n", "1VoPzUlGS76fDzzwQLFaAAsXLixW69prry1WC+Cxj31ssVp333337DP14Wtf+1qxWi9+8YuL1QI4\n", "88wzi9U67rjjitUa0JxkdGxswzjRb+nXWfpvX0kl/2+0YEGXYVl3K1euLFZrrt6DLkvg9cA48DuT\n", "pj+pfDuSBmBGpbqZUaluZlSqwKwD08zcaQ76kDQgMyrVzYxKdTOjUh2mHZhGxMaZeX9ELJrq/sy8\n", "Z3htSZqNGZXqZkaluplRqS4zbTG9CNiTnn3te4wD84fSkaSuzKhUNzMq1c2MShWZdmCamXu2P8ud\n", "TUFSMWZUqpsZlepmRqW6zLQr75S7NUxw9wZptMyoVDczKtXNjEp1mWlX3pnOee7uDdLomVGpbmZU\n", "qpsZlSoy06688wAi4n3AfcDxwBjwh0DZixBK6psZlepmRqW6mVGpLl2uY3rAxD74rX+MiEuBo4fU\n", "k6T+mFGpbmZUqpsZlSrQ5WDvTSLiqRM3IuIpwKbDa0lSn8yoVDczKtXNjEoV6LLF9L3Ad9o1R9Cc\n", "VvuPhteSpD6ZUaluZlSqmxmVKjDrwDQzz4qIbwH70BwI/t3M/OXQO5PUiRmV6mZGpbqZUakOna7b\n", "lJm3ZOaXgC0MqlQfMyrVzYxKdTOj0uj1e0Hhdw6lC0mlmFGpbmZUqpsZlUak34GpJEmSJElF9Tsw\n", "/chQupBUihmV6mZGpbqZUWlE+hqYZuZJw2pE0tozo1LdzKhUNzMqjc60Z+WNiGUzPG48M7cbQj+S\n", "OjKjUt3MqFQ3MyrVZabLxTx7zroArrjiiqL1dtttt2K1Fi9eXKwWwF//9V8Xq3X++ecXqwWwdOnS\n", "ovVOOOGEYrUuvfTS2Wfqw1e+8pVita6++upitQCuu+66LrPNaUbXrFlTZS2ALbbYolitBx54oFgt\n", "gLGxsaL1Sir9PugR5jSjJS1Y0OUy591ddNFFxWptt13ZscI555xTrNZb3/rWYrUADjvssGK1zjzz\n", "zGK1AA488MBitW688cZitfq0zma0tPHx8WK1Sv/dK9lbyVqlrVy5smi9hQsXFqt13333Fas1k2n/\n", "8mTmz+akA0kDMaNS3cyoVDczKtVl1lWiEfEE4O+BPYBN2snjmfnkYTYmqRszKtXNjEp1M6NSHbqc\n", "/OhTwH+3vx8EfBM4dWgdSeqXGZXqZkaluplRqQJdBqaPycwTgVWZ+W3gYOBlQ+1KUj/MqFQ3MyrV\n", "zYxKFehydoOJM4HcHRFPBG4BHtOleEQcBbwBWAP8AHhzZt4/SKOSpmVGpbqZUaluZlSqQJctpudH\n", "xDbAx4FLgJ8AX5rtQRGxE/AWYK/MfCYwH3jd4K1KmoYZlepmRqW6mVGpArNuMc3Md7a/fjoiLgC2\n", "zMwfdKi9HFgJLIqI1cAiYGTnA5fWV2ZUqpsZlepmRqU6dNliSkQsioinAZsBqyPi6bM9JjNvAz4E\n", "XA/cBNyRmV9fm2YlTc2MSnUzo1LdzKg0erMOTCPibTT72n8d+HLPv9ketzPwDmAnYHtg84g4aG2a\n", "lfRIZlSqmxmV6mZGpTp0OfnRnwG7ZebSPmvvDXw7M38FEBFnAc8FTuuzjqSZmVGpbmZUqpsZlSrQ\n", "ZWD6iwGCCnAN8L6I2BS4D/hN4OIB6kiamRmV6mZGpbqZUakCXQamX4uIY4DP0oQOgMy8aqYHZebl\n", "EXEqzdnN1gCXAsevRa+SpmZGpbqZUaluZlSqQJeB6ZuAceDASdOfNNsDM/MY4JgB+pLUnRmV6mZG\n", "pbqZUakCXS4Xs9Mc9CFpQGZUqpsZlepmRqU6zDowneZ02XdmptdpkipgRqW6mVGpbmZUqkOXXXn/\n", "A3gCcEd7e2vglxFxL7A4M78zrOYkdWJGpbqZUaluZlSqwKzXMQXOBg7IzEdn5qOBVwNnAIcAxw2z\n", "OUmdmFGpbmZUqpsZlSrQZWC6f2aePXEjM88BXpCZ/wNsMrTOJHVlRqW6mVGpbmZUqkCXgem8iHje\n", "xI2IeG7P49YMpStJ/TCjUt3MqFQ3MypVoMsxpocCn4uIe9rbi4DFEbE58OFSjVx44YWlSgGwZk25\n", "75GDDjqoWC2A//qv/ypW6+tf/3qxWgBf/OIXi9bbZ599itU6/PDDi9UCuPrqq4vV+tnPflas1gDm\n", "JKMLFy4sVYrVq1cXq1Xa2NhY0Xrj4+PFas2b12VdYncle9OM5iSjJZX+bOyxxx7FakVEsVoAp59+\n", "erFaS5YsKVYLYKeddipW67jjyu6ReuON5c4LtMMOOxSrBQN9fte5jJb+Ozp//vxitVauXFmsFsCC\n", "BV2GK92UXm4lvytLf+/ed999s8/U0SablN1xYLrX2uVyMd+MiJ2BeGhS3t/+fkqZ9iQNyoxKdTOj\n", "Ut3MqFSHaVe/R8TG7c9FwHzg2vbf/HaapBEyo1LdzKhUNzMq1WWmLaYXAXsCd09x3zhNgCWNjhmV\n", "6mZGpbqZUaki0w5MM3PP9mfZg5okFWFGpbqZUaluZlSqS+ejiSNia+BFwHWZefnQOpI0EDMq1c2M\n", "SnUzo9JozXSM6WkRsUf7+6OBK4Gjga9FxFvmqD9J0zCjUt3MqFQ3MyrVZaZdF/bKzMva398IXJWZ\n", "zwD2At4+9M4kzcaMSnUzo1LdzKhUkZkGpr0Xv3k+cDZAZt6AFxuWamBGpbqZUaluZlSqyEzHmI5H\n", "xA7AbTT727+/575Nh9iTpG7MqFQ3MyrVzYxKFZlpYPpB4PvASuDCzPwhQET8OrB0DnqTNDMzKtXN\n", "jEp1M6NSRabdlTczzwR2B14OHNBz11LAA8KlETOjUt3MqFQ3MyrVZcbLxWTmL4BfTJp201A7ktSZ\n", "GZXqZkaluplRqR5eUFiSJEmSNFIOTCVJkiRJI+XAVJIkSZI0Ug5MJUmSJEkj5cBUkiRJkjRSDkwl\n", "SZIkSSM1Nj4+PuoeJEmSJEkbMLeYSpIkSZJGyoGpJEmSJGmkHJhKkiRJkkbKgakkSZIkaaQcmEqS\n", "JEmSRsqBqSRJkiRppBaMuoF+RMRLgWOB+cCJmfn3I24JgIjYETgV2A4YB47PzI+MtquHRMR84BLg\n", "hsx8xaj7mRARWwMnAs+gWW6HZOZFo+2qERFHAW8A1gA/AN6cmfePtqv6mdHBmNH+mdHBmNHBmNH+\n", "mdH+mc/BmdH+1ZjRdWaLafuB+yjwUuDpwOsjYtfRdvWglcCRmfkMYF/gbRX1BnAEcBVNIGpyHPAf\n", "mbkr8Czg6hH3A0BE7AS8BdgrM59J8wfidSNtah1gRteKGe2DGR2MGV0rZrQPZrR/5nOtmdE+1JrR\n", "dWZgCjwHuDYzf5aZK4HPAq8acU8AZObNmXlZ+/vdNB+67UfbVSMiHg+8jGZtzdiI23lQRGwF7JeZ\n", "nwLIzFWZeeeI25qwnOZLeFFELAAWATeOtqV1ghkdgBkdiBkdjBkdgBkdiBntn/kckBkdSJUZXZcG\n", "pjsAP++5fUM7rSrtGog9ge+OuJUJHwbeSbOZviZPApZFxEkRcWlEnBARi0bdFEBm3gZ8CLgeuAm4\n", "IzO/Ptqu1glmdDBmtE9mdGBmdDBmtE9mdCDmc3BmtE+1ZnRdGpjWtmn+ESJic+DzwBHtGqVR9/Ny\n", "4JeZ+X0qWoPUWgDsBXw8M/cCVgDvHm1LjYjYGXgHsBPNGsHNI+KgkTa1bjCj/fdjRgdgRgdmRvvv\n", "x4wOwIwOxHwOwIwOptaMrksD0xuBHXtu70izNqkKEbEQ+ALwb5l59qj7aT0XeGVEXAecDvxGRJw6\n", "4p4m3EBzgPr32tufpwlvDfYGvp2Zv8rMVcBZNMtSMzOj/TOjgzGjgzGj/TOjgzGj/TOfgzGjg6ky\n", "o+vSwPQS4KkRsVNEbAS8FvjSiHsCICLGgE8CV2XmsaPuZ0Jmviczd8zMJ9Ec0PyNzPz9UfcFzfEK\n", "wM8j4mntpN8EfjjClnpdA+wbEZu27+1v0hxQr5mZ0T6Z0YGZ0cGY0T6Z0YGZ0f6ZzwGY0YFVmdF1\n", "ZmDajubfDvwnzYL7XGZWcWYr4Hk0p1vePyK+3/576aibmkJtu4kcBpwWEZfTnKlsyYj7ASAzL6c5\n", "LfolwBXt5ONH19G6wYwWYUY7MKODMaNFmNEOzGj/zGcxZrSDWjM6Nj5e2/snSZIkSdqQrDNbTCVJ\n", "kiRJ6ycHppIkSZKkkXJgKkmSJEkaKQemkiRJkqSRcmAqSZIkSRopB6aSJEmSpJFa5wamEXFgRFza\n", "XkPp6og4ree+70fExkN63p0iYlkf86+JiEXD6CsiXhgRL+65vX1EfKNU/Q7P//6IWFi45lYR8a5J\n", "006IiOeVfJ6OvTwxIt4y18+7vjCjZnTYzOjaMaNmdNjM6Noxo2Z02GrN6IJRN9CPiHgc8DFgz8y8\n", "sZ22x8T9mbnnqHqbyXR9RcT8zFw9QMn9gc2Ar7X1bwJ+Y/AO+/aXwD8AKwvWfBTwTuCYiQmZOarA\n", "PAn4I+CEET3/OsuMPsiMDpcZHZAZfZAZHS4zOiAz+iAzOlxVZnSdGpgCj6X5gNw2MSEzL5v4PSLW\n", "AJtn5j0RsR/wcWAN8D/A7wIvy8yrIuJnwCnAi4HHAf+YmR9ra/wD8EJgI+BW4JDMvH62xiLiAOBo\n", "4D7grEn39fb1M+B0mnBdERGHAkuAFwAbA1cAb83MFRGxFfBhYO/2dXwT+Ffgj4F5EfGbba0zgEsy\n", "8zHt8720rTkfWAb8cWb+JCJeBBwLXAT8OjAOvC4zr5ni9fwp8Fqaz8h9bU+XR8TH2lm+3b6uF2Xm\n", "nTMslxfSfOj3zszlEXEScHNmHjVp1o8BW0fE94EVmfn8iDgP+IfM/HJEnNz28VRgZ+Bs4Ms0XxyP\n", "Bz6cmR9pnzPa5fYYmvfx2Mw8eYreFtF8Dp5O87m6JjNf1/ayU9vLjzPz92aq2S6HvwZeBWwKvCcz\n", "z5qifmbma6dbVusJM2pGzWjdzKgZNaN1M6NmdIPN6Lq2K+9lwMXA9RFxZkQcERGPnjxTNLsSnA78\n", "SWbuDpwHPKFnlnFg08x8LvAi4O/aBQvwd5n5nMzcA/gs8PezNRURvwYcD7yyXWN03wyzjwNbZOY+\n", "7VqSPwfuaG/vAfwCmPggHwvclZnPau/7q8y8EvgEcEpm7pmZx/TUJSK2A04FFrev/TPAg7uA0Hxw\n", "/qW97wzgL6bp85R2OexFE4hPAGTm29r7f719/mmD2s5/ftvPJyPi94GnAO+dYtZD2+WwZ2Y+v+c1\n", "jU/q/aXArsDrab5o9gOeBxwdEYsiYkH7mo/MzOcA+wHvbsM22Uto3otntMv3j3t6uart5femqXlU\n", "RDytp9aq9r1/JXB8RGw7Rf0/mmlZrSfMqBk1o3Uzo2bUjNbNjJrRDTaj69QW08wcB14dEc+gWdPz\n", "u8A7I2K3zLyjZ9YA7snMb7WPOzsi7phU7rPtfUsj4naaNRE/Al7WrtnZnO7LZx/g0sz8cXv7eGYO\n", "+ak9v78S2CIiXtPe3pjmSwngd4C9JmbMzNt6Hjc2Qy+X50Nrhk4GPh4Rmz1UJi9vf/8u8Ipp6uwd\n", "Ee+h2e1gDfC0aebr4mjgv4F/BPbKzDVTzDPd65kwDpydmSuBlRGRNGuRyMybet7DBcAuwGd78rlR\n", "Oy0n1bwM2DUiPkrzhf7laXp52hQ1F9J8afyovf3JtpcfRcSlwL4z1F9vmVEzakbrZkbNqBmtmxk1\n", "oxtyRtepgemEzPwh8EOaD+EPadYEnd1nmd41PauBBRHxROCfaDbFL42I5/LwNTAARMSbgcPbm/8A\n", "3DVpltk+eHdPuv3WzDxvmnlnq9WvR7zuyTNExEbA54HnZ+ZlEbE9cEOX4m3AD2xvHtm+rq1p1uLd\n", "B2zTtdYU7p/U+1SvZQy4Nac41iEiDgaOaG8ek5mnt1/8/xf4bWBJRDxziuedtuakeXqNZ+Z1U9XP\n", "zPsf+fD1ixldK2a0YUaHyIyuFTPaMKNDZEbXihltrHMZXad25Y3mjFy/3nP78cC2wHWTZk1gURs2\n", "IuJVNB+Y2WwJPADcEhHzgD+ZaqbMPKnd9L1nZn6GZm3MnhHxlHaWP+zjZX0J+NOI2KTtdYuI2KW9\n", "799pDpKmvW+b9tflwFbT1LsI2L1nc/6baNZwreijp01o9tmfCNWhk+6/i2mWZ2Yu6Vk257WTT6JZ\n", "s3YwzZqYzad46HKa92x+H31O9UV2DXBPRLxhYkJE7BIRW2TmyT29nR4ROwBrMvMc4P/RfJYexSOX\n", "b05Xs2eeN7fTnwrsCVw0Q/31lhk1o5OY0cqYUTM6iRmtjBk1o5NsUBldpwamNGsJ3h8R10RzsO6X\n", "gff2bK4fB2hH6YuBT0TEZTSj+F8Cs+0j/gPgTOAqmg/9T3n4ft/j0zzulzT7VJ8bzabtjbs8rvV3\n", "wOXA9yLicpqDvifCeiTNrg9Xtq/jfe30LwLPjubU3O+iZ//0zFwGvBH4TFtvMTDxIZu8H/vk2xOv\n", "ZznNvvbfi4hLaNZ69c73IeAb0ZzKfLovDQAi4h3ARpl5TGZ+g2b5Hj/Fc95Gs8buBxFx4TTlJvc6\n", "Ve+raXbZeF1EXB4RVwIfpdnFYbJn0hzYfhnNF+6SzLyZ5v3IiPhBRJyRmaumqdl7GvH57Xt/LvBH\n", "mXnrDPXXZ2a0YUanvm1GR8+MNszo1LfN6OiZ0YYZnfr2ep3RsfHxmT5H666I2Dwz725/3x/4VGY+\n", "acRtaT0UPWeiG3Uv6xIzqrliRgdjRjVXzOhgzKjmylxldJ08xrSj/y8ijqTZKnwfzdoUaRjWz7U7\n", "w2dGNVfM6GDMqOaKGR2MGdVcmZOMrrdbTCVJkiRJ64Z17RhTSZIkSdJ6xoGpJEmSJGmkHJhKkiRJ\n", "kkbKgakkSZIkaaQcmEqSJEmSRsqBqSRJkiRppP5/I1yF4UdAObYAAAAASUVORK5CYII=\n" ], "text/plain": [ "<matplotlib.figure.Figure at 0x7f1f58790190>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16,5))\n", "\n", "subplot('141')\n", "plot_overlaps_I1(t=0,figtitle='Overlaps (t=0)')\n", "\n", "subplot('142')\n", "plot_overlaps_I1(t=25,figtitle='Overlaps (t=0)')\n", "\n", "subplot('143')\n", "plot_overlaps_I1(t=200,figtitle='Overlaps (t=0)')\n", "\n", "subplot('144')\n", "plot_overlaps_I1(t=450,figtitle='Overlaps (t=0)')\n", "\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Decoding performance\n", "\n", "Finally we look at the how much of the previous inputs to the network we can linearly decode from the instantaneous firing rates of the population. The optimal decoder for inputs $\\tau$ time-steps ago was defined as ${\\bf D}{\\bf M}^{\\tau}$. For more details, please consult the original loss function eq. (23)." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def get_reconstruction_performance(F,Wf,Wd,testing_length=25000,training_length=10000,opt_dec=False):\n", " # compute optimal decoders from training data\n", " R, X = testing(r_init,F,Wf,Wd,x_init,0.025,k=training_length)\n", " \n", " D = dot(X.T,R)/alpha/float(R.shape[0])\n", " M = dot(R[:-1].T,R[1:])/alpha/float(R.shape[0]-1)\n", " \n", " if not opt_dec:\n", " decoders = [dot(X.T,pinv(R.T)) if n == 0 else dot(X[:-n].T,pinv(R[n:].T)) for n in xrange(2*N)]\n", " else:\n", " decoders = [dot(D,matrix_power(M,n)) for n in xrange(2*N)]\n", " \n", " # compute performance on test data\n", " R, X = testing(r_init,F,Wf,Wd,x_init,0.025,k=testing_length)\n", " \n", " errors = empty(2*N)\n", " \n", " for n in xrange(2*N):\n", " Q = decoders[n]\n", " \n", " if n == 0:\n", " errors[n] = sum((X.T - dot(Q,R.T))**2)/sum(X**2)\n", " else:\n", " errors[n] = sum((X[:-n].T - dot(Q,R[n:].T))**2)/sum(X[:-n]**2) \n", " \n", " return errors" ] }, { "cell_type": "code", "execution_count": 144, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |#########################| Elapsed Time: 0:01:20 Time: 0:01:20\n" ] } ], "source": [ "wm_performance = []\n", "progress = ProgressBar()\n", "\n", "for k in progress(xrange(11)):\n", " t = k*(len(time)//10)\n", " wm_performance.append(get_reconstruction_performance(F_vals[t],Wf_vals[t],Wd_vals[t],testing_length=5000,training_length=25000))" ] }, { "cell_type": "code", "execution_count": 197, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA6YAAAFFCAYAAAD/zfDuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XecXFd99/HPzGyXRl2WJVm2XH/uVTbFYIxtiCGUEFIw\n", "EAihJXkoyRMeEkggyZNAQh4IkJBCIBBacAidBFNcccBNxQ1bx5Zt2bIk21rVlXbKzsx9/jh3dker\n", "7ZrdM/fO9/162dqduXPnd+/MnnN/97RMFEWIiIiIiIiIhJINHYCIiIiIiIi0NyWmIiIiIiIiEpQS\n", "UxEREREREQlKiamIiIiIiIgEpcRUREREREREglJiKiIiIiIiIkEpMZ0hM7vfzC4LHYdMzMz+ycz+\n", "ZJb2faaZ3dXw+1Yzu3KG+zIzu9vMDpjZO5oXJZjZuWb202buU9qbyr9kmMvybwrb/6WZ7TKzHU16\n", "f5VrKTX6u2JmrzKzbWY2YGbnNfF9nm9mm5u1v4b9/pmZfanZ+53ie99sZm9u0r4uNbOH4/P+imbs\n", "U0ZM9FlN9h1Kcx3cETqAVmRmW4E3O+duaHjsN+PHng/gnDt7CvtZCzwKdDjnarMRa5KY2eXAl5xz\n", "a2Zp/79Jw2cE4Jz7ndl4r9hfAP+v4fco/m8m3gvc4Jw7/6ijGsU5d6+Z7TOzlznn/qvZ+5d0Ufk3\n", "O9qg/BuXmR0P/G9gjXNu91ixTpfKteSKy5hjgGrDw593zr1r9Hclfu6jwO865753lO9bA05xzj0K\n", "4Jy7FTj9aPY5jpleB0yLmf0ZcLJz7jdGvXez3v//An/nnPv7Ju1vTo3+vJu877Ucff020Wc14WeY\n", "5jpYLaZja+YfNkBmJi8ys6O6cXC0rw/BzHKhY5gKM1sJXA58u0m7PAF4YIaxTOWcfQV4+0z2L21H\n", "5V8gKS7/jgd2NyQaR/v+9fOkci2ZIuBlzrl8w3/vip877LtiZpn4sRnVj2OYUXnUgu8xF6Z83lu4\n", "vB33s2hSzLP1WTdzv0Hq4Jlq1S9SKzrsQi2+4/dbzrkbzewS4B+BU4EC8GXn3HuAn8Sb7zMzgKuA\n", "O4E/Bt4C9AI/AN7pnDvQcHfjLcCfAlvNbAD4gXPuUw3vfS/wAefcd0bFNPr1jwGXm9lvAe8Bjo3f\n", "/23OuSfi15wFfAK4EBgCPumc+ysz6wY+AvxqvPuvAX/onCvHd/6/DPwt8If4u57vd879W7zPl+Lv\n", "pK8BDsTb/TNwHdAVH1MEGP6i4uz4vL0C+N9m9nxgm3PuA/H+LqehpcHM1gCfBJ6Hv7nyVeAf4vfo\n", "iPc/5JxbYmb/Nmpfb8W3Ti4B/gf4befczvi5GvA7wB8Ay4GvOOfG61b7ImCDc6486vFLzOzvgZX4\n", "i7bfcc6V4v2/DPhLRpLQ33bO3WdmNwKXAZea2cfjz2IX8PfA1cAg8Bngw865KG5teCtwB/AG4B/N\n", "7C+BD8efVzfwLeD3nXPFOK5bgM+aWadzbmicYxIZj8o/lX+Njij/zOyP4nN/DLAN+GPn3LfN7Crg\n", "u0B3HNt/A68EOkfF2g18iDHKsIZz/nfA7wM/At6IyrVUGeO78j3g5UAOuMfMdjrnTjWzVfj68fnA\n", "QeDj9VY9M8sCfwT8Fv676IBXAf8ev809ZhbFz+8i/tsysz8E1jnn6n/zmNknAZxz7zazhfi/5ZcA\n", "NeDzwJ9OpSXKzJ4dv/YM4HHg3c65W+LnbsaXlVcA5wK3Aa9tSMzfgO+dMA//d//m+L9O4H1Axsx+\n", "CdjinLsgfsu1ZvY/Y+1vjNjGLBPM7BFgLfA9M6sAS0f/jcX1wD8CrwdONbN5wCUTHOsS4GPAi/Hl\n", "/y3OuVdNFEf83Lhlk5mdAvwrcB6+DL/eOXeNmdXrn9Gfd2M58mMzuwF4S2PvjcaWVjPrxV+3vRpY\n", "BNwbx39E/eacu2OS+uZF+O/tscCX8AnjeEljhK8vvoD//j4BvNE5t6Hh3LdUHdwsajEd3+gvy+jf\n", "Gy/UPokvGBcCJwH/GT9e/6IvjO8I3gG8CV+hXh5vOx/4FIe7DN+95BeAL+D/6AEwP75iFb5yH0/9\n", "9Veb2SvxhdergGXArfgLGcwsD1wPfB+fSJ0C1Lvv/TG+gDkv/u8SoHGs0gpgQRzLm4F/iAtu8IXE\n", "25xzC4CzgJucc4P4JGtHfC4W1Asd/AXZf8bn7ytM0GIT3yn/L/xF5wnAauCrzrnN+Iu82+L9L4lf\n", "MrwvM7uCkeRtJb7QvHbUW/wisA5foP+amf3CWHEA5+ArvEYZ4LX4Qutk4LT6OTOzC+Lz8lZ8wftp\n", "4LvxBdUV+M/lf8XnZQu+8MoDJwIvwCegb2p4r0uAR/AV74fxF9Gn4D+rU+Lz8sH6xs657fhC28Y5\n", "HpFGKv9U/k23/NsCPC8+7j8HvmxmK5xz1+Mv5uvH/hrgt8eI9a+ZoAzDn/PF+Fact4PKtYQ74oJ8\n", "jO/Ka51z+fjpc+OkNItPWDfh//6uBH7PzF4cb/cHwGuAl8TfxTcDg865yxr2k3fO1cupumuBl5rZ\n", "fBj+W/tV/N8kwL8BZXzdfgG+nn/LZAdpZqvxf7P/1zm3GJ+0fMPMljZsdg3wm/j6vCveBjM7E3/T\n", "6Rr832y9zImccz/A/z1fGx9PPSmtX4ccsb8xYhu3THDOnYxPhl4Wl1fj3fh5Df4zWxTvY6Jj/RLQ\n", "A5wZx/a3k8XRYHTZVP+8/wKfOC3Clxl/H8c/3ufdWI68jclbEz+K/7yfg792ey/+xsQR9dsk9c0y\n", "4BvA+4Gl+Ou3Sxm/d1IGXzd8FViIv2HTWFe2ch18VNRiOrYM8O34LlFdF7BhnO3L+LtFy5xz/fiW\n", "rPp+Rnsd8DHn3FYAM3sfcH/cClb3Z865Qvz894BPm9nJzrlHgN/AF0QVxtf4+t8G/so55+Lf/wp4\n", "v/lxHJfiK4CPNxzHnfHPrwXeER8PZvbn+GSqfqEwhC98asB1ZnYQf3FwZ7yfs8zsPufcfnwFMt75\n", "APiZc+67APHd8Ym2vQRfcP2fhjuVP5tk/3WvA/7VOXd3fEzvA/aa2fH1O1rAXzvnDgAHzOwm4Hzg\n", "h2PsayEw+g5kBHwqvljCzD6ELyQ/gC8AP+2cq08W8kUzez/wbHzhNRx/XCH+OnCec+4QcMjMPob/\n", "7D8Xb7vDOfcP8fYlfMJ7rnNuX/zYX+Er1Pc3xDeArzxEJqLyT+XftMs/59zXG37+Wrz/Z+EvqCa8\n", "0WG+u+ZkZVgN30I1hD//dSrXkmesMuY9zrl/ZfLv8cXAMufcX8a/P2Zmn8UnSD/CJ4vvcc49DH4s\n", "8lQCcs49bmYb8UnFl/AtmIPOuTvNbAVx8uV8L6SCmX0C/539l0l2/Xrg+3EiiXPuejNbj0+0voi/\n", "bvh8fEMaM/saPiEB+BXgu865n8XPfRB4V8O+x2pxi4DPjbO/0aZSJkwkwo9BrV/zjHusZvZj/M25\n", "JXG5CCPXPjMtm36EL2/XmtnqOI56eTiew8qRuLwdU3wT5E3AsxpuJN4ePzfW93Si+uZy4H7n3Dfj\n", "bT9hZn8wSay31s+lmX0Z+L1xtmu1OvioqMV0bBHwSufc4vp/wO8yfoH5Znzr2INmdqeZ/eIE+67f\n", "Dap7An+DYEXDY9vqP8SF4NeA34j/EF6DLzQnsq3h5xOAT5rZXjPby8jFxGrgOHyz/VhWjRHnqobf\n", "d7vDu7AM4u+8gO/y8FJ8N4CbzXdjmciTkzzfaA3wuJvZQO7Dzn2c9O3Gn4u6pxp+bjym0fbiWzRH\n", "azz3jefsBOAP6p9D/Fkcx+HntH4HbBm+m87o898YZ+P7LAf6gA0N+74u3k+jPLBvnOMRqVP5p/IP\n", "pln+mdkbzGxTw7k+G98yMBVTKcN2uSOHToDKtSQ6ooyJk9KpOAFYNaoufR++BQ783/UjM4zr3/Gt\n", "k+BvTtVbS0/A18k7G97zn/Hf26nE+6uj4r0U352zrvHvrsDI390qGsqHOFmYyjjt8fY32lTKhMmM\n", "Lm/HO9Y1wJ6GpHS6cYwum+rlz3vxddOd5meqbexZNpbxypGxLMO38E71+zRRfbOSI8v6bUzs6Yaf\n", "B4GeOFkerdXq4KOiFtOpG/cuXnxn6rUAZvZq4Ovm+9KP1US/A99vv+54oIL/Ah4fPzb6dV/A31n7\n", "Kf4O3h1MrPH1TwB/4Zz76uiNzOwE/JdsLPU4H2yIc0rT/Dvn1gO/FLf8vRP/pT6esc/HWN3WDuEv\n", "UuoaC/BtwPFmlnPOVQ9/2aQTthx27s2Ph1gKbJ/kdWO5F98dYrTjR/1c3/cTwIeccx+ewr778S0C\n", "azn8/DcWatGo7QvAmQ139Q5jvjtRF0d2vxOZCpV/Kv8aHVb+xefyX/CtTLc5PxZ+ExOPn2o0aRk2\n", "xmtUrrWnJ4DHnHOnjfP8NnxX8JlMlvR14GPx9+qX8D2a6vss4cdZTvem0BP4caxvm0E8O2jopm5+\n", "vGPjzZ6jnaSuGWXC6PJ2zGM1P2HaEjNbOEZyOuM4nHNP43ukYWaXAteb2S1u/Jl4JyxvzayxvO0H\n", "ivjv0+iW97HO/UT1zan45Lz+e6bx9ynEOa4WrIOPilpMm8DMXm9m9Ttn+/Efag0/0LqGH5NQ91Xg\n", "981srfmxDPUxAuMWds652+J9fhT/5ZiOf8Z3JTgzjnWhmdUH9/8XsNLM3m1m3WaWNz+Iuh7nn5jZ\n", "MvN94z/IFO6SmFmnmb0uLnyq+G5W9Quop4GlZrag4SVjXbjcjR/rsTguJBq7L9wJ7AT+2sz6zKzH\n", "zJ7bsP/jzKxz1P7r7/FV4E1mdp75iTY+DNw+QZeViboUXQ9caGZdo7b/X2a2Oi4U/hj4j/i5zwC/\n", "bWaXmFnGzOaZ2S/G34HD3i8+b18DPmRm8+OLvt/HD9o/Qvzd+Qy+a8hy8BdsNjIGA/w41RucJgiR\n", "JlP5N6KNy795+M+oH8jGrRYTLWfwVGOsUyzDxqJyLblmOuvoncCAmb3XzHrNLGdmZ5vZuvj5zwJ/\n", "YWanxHXtuXF9DP5v5OQx9wo453YBN+PHkz5a75IZ3yz5EfC3cTmRNbOTbWrrSH4ZeLmZvTiOtcfM\n", "Lo+T37rxzsU34tc+J/5b+7NR2z6F78Y62ZwA45lumTCZcY81PofX4SdrXBSXlfXzN+Oyycx+1cyO\n", "i3/dx0j9A5N83rF78EMvzjOzHvw5BobLpc/hP/eV8THVP4ux6reJ6pvvx+/zKvOz3b6Lw286jnuM\n", "k2nxOnjalJhO3URLKPwCvo/2APBx4DXOuZLzE158CPip+ab9S/Bf8i/hZ8t6FN88/85R7zOWL+In\n", "nBgzORnv9c65b+MnxrnWzPYD98Xx4pw7iJ9d8eX4i52H8P3gwc9Cth5/l+je+Oe/bNj1RHdzXo8f\n", "97EffyfrdfH7bcb/UTxqZnvM30Eb67x+CV9YbMXPGHZtfZv4Yu/l+DtYT+DvZP5a/LobgJ8DT5nZ\n", "Mw1x1l97A3685zfwd41O5PAWk9FxjPuZx3fpbsTfVW3c/iv4CuwR4GHic+b8TGpvxQ8y3xM/94ZR\n", "+2/8+Z34O3mP4sdhfAU/C+B4cf0hfvKR2+Pz/mN814661+ELTZGZUPmn8m/Y6PLPOfcAfrbN2/AX\n", "y2fjZ9Ycvb+6G8eIdbIybKxYVK4l1/fMbKDhv280PDfWdxEYThZehh9j+Cj+4vtf8BMDgZ9Q52v4\n", "eng//oZHT/zcnwFfiMujX2Hs7/i/4ydU+vdRj78B3zr/AL4O/0/GTywa/+6exM9C/X7gGfzf7R9w\n", "eOIx+jqg/tqf48vHa/F/swPxPkrxtvVJbnabH8s54f5Gm0KZMC0THGs91/gNfG+wzfik8V1TjGOi\n", "smkdvswYAL4DvKs+fpIpfN7OuYfw67Vej+95ceuobd6DrzfuwnfN/SsgM1b9Nkl904+f3Omv8Tfw\n", "TuHIMnK8YxzvPNS1Uh181DJRdLQ9AWQumNlvAG91IzONSWBmdgbwBefcJZNuHJCZnQv8k3Pu0tCx\n", "iMyEyr/WE7r8U7nWHGb2OfxEPM84586JH1uC7+1zAv4Gya+5eFIqCSdu4dqLX8rk8cm2F2mWuayD\n", "lZgmgJn14e8wf8o5N+t3K0REWoXKP5HZY37d3IPAFxsS078B+p1zf2N+fc/Fzrk/ChlnuzKzl+N7\n", "Q2TwvRIuds5dFDYqaSdzXQerK2+LM7+O3DP4rmaju5aIiKSWyj+R2eWcuxXfCtfoFfgJT4j//SUk\n", "lFfgJwHajh8rOOOutiLTFaIOVoupiIiISJsys7XA9xpaTPfGy0TVZw/dU/9dRGQ2qcVURERERI7g\n", "nJto4jMRkaYKso5ptVqNBgcHQ7x1S+nr66Pdz4POgafz4OXz+ZkuIdCSVNZ5+n7rHNTpPHgtXtY9\n", "bWbHOueeimePfmayF0RRFGUyrXxIIhLItAqGIIlpLpcL8bYtR+dB56BO5yGd9Ll6Og86B3U6D4nw\n", "XeCN+KUv3gh8e7IXZDIZBgYGZjuuOZXP51N1TGk7HkjfMaXteMAf03QESUxFREREJCwz+yrwAmCZ\n", "mW0DPohfa/FrZvZm4uViwkUoIu1EiamIiIhIG3LOXTPOU1fNaSAiImjyIxEREREREWmimaz8ohZT\n", "EREREZGUuv3+p7lp071UKpUjnpvqnFVTndwqk/HbZuN/MxnIxv/6x8d6LP43W3/N2K8f/Zrunm6G\n", "ymWy2cxhz9W3Hb19Njv5Nj6OUa+LH/PvA7lslmyW4ffNZRufH/k9F+8nN8Zz9f2PpVaLqFRrlCs1\n", "hio1ykP+35H/qsPP1f8rj/PzUKU68tiQ/7dSrVGrRUQR1KKIWgRRLaIWjTw2/Fy8XRQ1PF+LX9Pw\n", "WBRF1GqHvzaTge9+9JVT+4LFlJiKiIiIiKTQYLHC5/7bcbBwZFIqYY0kqvWkOUN5qEqlOrsrNNWT\n", "5cbEezhZz46dtOdyGToy2fjxUTcNsg1JfcO/udz0O+YqMRURERERSaEf3rGNg4UKr3/J6bz0WasO\n", "e268rpZT7YE51uujyC98G0UjrWpjtb41tszVW94atz/i9bUj99fb28vBQ4NH7M+/z5Hbj7XP0S2E\n", "Y7+vj70ax1CrRcOPV+s/H/Y7Rz4fjWw3ej/V+PlsNksuC10dWTpH/dfVkWv4edRznVk64+ePeG6M\n", "n2eSMM6VSRNTM/sc8IvAM865c8bZ5u+AlwCDwG865zY1NUoRkVmmsk5ERNLkUGGI/75tG/N7O3j5\n", "806iOlQ87PnxupJOfUnasGvXpm15lbQdz0xMJWX+PHD1eE+a2UuBU5xzpwJvA/6pSbGJiMwllXUi\n", "IpIa192+jcFihZddegJ9PZ2hwxGZ1KSJqXPuVmDvBJu8AvhCvO0dwCIzW9Gc8ERE5obKOhERSYuD\n", "g0Ncd/s2FvR18uKLV4cOR2RKmjHGdDWwreH3J4HjgKebsO9Ei6KIatXPrDUU/1up1qhUIqq1GvkC\n", "lIsFOnJZOjqydOQy/udcZsqzn0303kf0Yx+j7/3Iz4f/Xp+VLNfw32G/57LDs40dbawyPVE8ZoEI\n", "ck34rkz2XlGEPmdPZZ2IiCTC9297gkKpyi+/+ER6ujWljCRDs76po69YZ3c6qVly6z07+dfvOT8A\n", "uT5ddZYjfs42TGmdzWQgw3AC6v+LGKrUfPIwQ7lshs7DklX/c8SowdINg6brP1fjwdxzpTFxzQBk\n", "IOP/R4aRpKbxuXqOk81mqdVq8WB5n2zVB83XB9ATP+cHw8evy8T7mnBK8pHHMw1f0WjU13Oyc1X/\n", "jA+bijw+rvpjNLzf4fuefGKBCP+6oaFq/PnV4qnC/WdaqX/O1ZHPeqzzn8tlyGX99+SI33NZOrL+\n", "OOr7qtQiqtXa8HfG7782/Fz9+9QoQ8M5HX2eG57L93Xyx2+8gKULeyY+ucmTirJO0imKIgqlKqVy\n", "daQuarghWq+jhqr+b79SrTEUPz4yCUlc/tI4CclYj4189UeXe/VfM6MeyAA9Pd2Uy+VJl5Ro/D2K\n", "oDxUo1ypDi+bUK7UKA+NXgZh5Pmhag3iyUz8uTm8bqmfr9GP1euLzGH1x8jPMFInZDIZertyvO2V\n", "p7NiSV9zP0yRozAwOMQP7niShfO6uGqdWkslOZqRmG4H1jT8flz82ITy+XwT3rq5bty4iUq1xqlr\n", "FlOtz8wVJ3nV2sjvja2LlfjxjlyWvs5OOuIZr+rJZP3nzo4sncMto1lyuQy1mk9gK3El6i8Sxvg3\n", "fr40VIuncvb76Y6TDz/ddJZs7sjWzWzGJyXDUz9nM8P/1qeFHkm2Rx4jPuZqrXZE0jKSENeGk6f6\n", "dlHEYYkkjMx2BiMXNI1JZyaTiyv8sS8GoPFCwO/zsP0cNoNa49pKHPaZNV47HdH21/Bk43ZRxPBn\n", "XL9Aq8/adsR7478TU91343bZUS3RuVyO3s5MnGRm4yRz5OeObJYIn7xWq7XhJHP0737a8ZEbJhCN\n", "vEdD0trVmSXXXU9g4/fIZYfjihou8GqN54OG46+NfO7zejtZtHAB+Xz3JH91iZKasi4EnYfmnIPy\n", "UJWn9wz6/3Yf4qnhnwd5as8hBotaEqJe52bjm4b1G4kQ31Q+7MbpSH1DJjO8lh9x2UZ0+Myhvt6K\n", "nyOiu6sDst36fktL+e+fPUGxXOVXrziJ7q5c6HBEpqwZiel3gXcA15rZs4F9zrlJu7a12qxTew+U\n", "cI/v5cy1i/iT37xgTt5Ts2/pHNSl8zyUGRgoT+sVLX5xl4qyLoR0fr+nZ/Q5iCJ/Y7I0VKNUrlIa\n", "iv8r+1a/0lCVwWKF/v1Fntlb4Jm9/t99B8f+m+ruzLJ8US+2ZiE93bnhXjaH3yQ9vAeOXzbAP5bL\n", "Zkb1iDiytXCsm4aNxwMNXQiiw/4Zfr6nt5fBwcKkNxYbl3DIwPByCF2d9SUPGn/O0tWZG/45m537\n", "YQfT/X63eFknCbb/YJkf3vEki/NdXHnRqslfINJCprJczFeBFwDLzGwb8KdAJ4Bz7tPOue+b2UvN\n", "bAtwCHjTbAY8W9a7XQCsO3154EhEJIR2Ketk7m1+fB9f/tEGBg6VhpPO0lB1WkMuspkMSxd2c+ba\n", "RRyzuJdjFveyfFHP8M8L5nUmYhy4blKIzK7/+tkTlIaqXPOik+nqVGupJMukialz7popbPOO5oQT\n", "zvoHlZiKtLN2Ketk7q3fvItHt+9n4bwu+no6WJzvorsrR1dnjp7OHN1dvsWvuzNHd1eO7s4s3Z05\n", "erpyLFvUw/JFvSxd2E1HCy+KLiLh7Rso8eM7n2TJgm5eeKFaSyV5NE0XfgHiB7bu48SVeZYtSt1k\n", "LSIiElCh5Md9fuBNF7Bq2bzA0YhIWn3vp09QrtR41WVr6ezQjSxJHn1rgU0P76Zai7j4DLWWiohI\n", "cxVKVQB6tWSDiMySvQdKXH/XdpYt7OEF568MHY7IjCgxRd14RURk9hTLcWKq2TFFZJZ8538eZ6jq\n", "W0s71FoqCdX239zyUJV7tuxm5dI+Vi/XOmQiItJchVKFTAYt2yAis2L3/iI3btjO8kU9PP/8Y0OH\n", "IzJjbZ+Y3vfIHkpDNdadviwRMxqKiEiyFEtVers7VMeIyKz49q2PU6lG/PILTtQkaZJobf/tvWuz\n", "78ar8aUiIjIbCuWKxpeKyKzYta/AzRt3sGJJL887d0XocESOSlsnptVqjY1uN4vzXZy0akHocERE\n", "JIUKcYupiEizffsnj1OtRbz6BSeSU2upJFxbf4M3P7Gfg4Uh1p2+nGxWXaxERKT5iqUqfT1KTEWk\n", "uZ7eU+And+9k5dI+nnuOWksl+do6MdVsvCIiMpsqlRpD1ZpaTEWk6b79k62+tfTyE9XAIqnQtolp\n", "FEWs37yLeT0dnLF2UehwREQkhQplrWEqIs23c/cgt97zFMctn8ezzzomdDgiTdG2ieljOwbYfaDE\n", "Bact0wxmIiIyK4qlCgB9PZ2BIxGRNPnWLVupRWotlXRp24xMs/GKiMhsK5TUYioizbV91yF+et9T\n", "HL9ivq5jJVXaNjFd/+AuujqynHvyktChiIhIShXKvsVUiamINMu3btlKFKHWUkmdtqwpd/QfYnv/\n", "IOtOX0Z3Vy50OCIiklLFuMVUs/JK0pjZu4G3ABngM865TwYOSYAnnznIbfc/zdpj57Pu9GWhwxFp\n", "qrZsMdVsvCIiMhcKJbWYSvKY2dn4pPRi4DzgZWZ2ctioBOAbN28lAl79wpPIZNRaKunSlonpXZv7\n", "yWYyXHia7jSJiMjsqc/KqxZTSZjTgTucc0XnXBW4BfjlwDG1vSeePsgdDzzDSavyXHja0tDhiDRd\n", "29WUew6UeGT7Ac46cTHz+zRLooiIzJ6iJj+SZLof+JCZLQGKwC8Cd4YNSb5x82MA/IpaSyWl2q7F\n", "dL1m4xURkTmirrySRM65zcBHgB8B1wGbgFrQoNrc1p0D3PXgLk45bgHnnaKJOyWd2q6mvEvjS0VE\n", "ZI6MdOVVDx1JFufc54DPAZjZh4EnJto+n8/PRVhzqpWO6Tv/+QAAb3jpWSxYsGBG+2il42mWtB1T\n", "2o5nutoqMT04OMSDW/dx8uoFLFnQHTocERFJuaJaTCWhzOwY59wzZnY88CrgWRNtPzAwMDeBzZF8\n", "Pt8yx/To9gPc8fOnsOMXcvLKnhnF1UrH0yxpO6a0HQ9MP9Fuq5py40P91KKIizW9toiIzIHCYWNM\n", "K2GDEZmer5vZUmAI+F3n3IHQAbWrr2tsqbSJtkpM6+NL12l8qYiIzIFC2SejfT0dVIeUmEpyOOcu\n", "Cx2DwMPb9nP3w7s5c+0izjpxcehwRGZV20x+VCpXuXfLHlYv62PVsnmhwxERkTZQbzHt6Wqr+8Ai\n", "0iT11tJXX35i4EhEZl/bJKb3PrKHcqWm1lIREZkzxVKF7s4c2ay634nI9Gx+fB/3PbKHs09azBlr\n", "1Voq6dc2iWl9Nt6LNRuviIjMkUK5Sm93LnQYIpJAw+uWXn5S4EhE5kZbJKaVao2ND/WzdEE3J65q\n", "72mYRURk7hRKFc3IKyLT9uDWvfz8sb2ce/ISTjt+YehwROZEWySmD27dx2CxwrrTl2s2MxERmTPF\n", "klpMRWR6oijiP2+qz8SrsaXSPtoiMdVsvCIiMteq1RrlSo2eLiWmIjJ1Dzy2l82P7+OCU5dyynFq\n", "LZX2kfrH/dg0AAAgAElEQVTEtFaLWL95F/N7OzldXSFERGSOFMqNa5iKiEyusbX01WotlTaT+sT0\n", "0R0H2DtQ5kJbSi6X+sMVEZEWUSzVE1O1mIrI1Nz3yB4e2rafi2wZJ61aEDockTmV+kxNs/GKiEgI\n", "xXIF0BqmIjI1URTx9Zu0bqm0r1QnplEUsX5zP92dOc45eUnocEREpI0MqsVURKbh7od3s2X7AS45\n", "YzlrV2oVCWk/qU5Mt+8aZOfuQc47ZQldnbowEBGRuVMs+RZTjTEVkcnUW0szqLVU2leqE1PNxisi\n", "IqEU48mPNCuviExmo+vnsZ0DPOusY1izYn7ocESCSHVieteDu8hlM1xw6tLQoYiISJsZjFtMe9SV\n", "V0QmUKuptVQEUpyY9u8r8tjOAc48cTHzejtDhyMiIm2mPitvn7ryisgE1m/exeNPH+Q556xg9fJ5\n", "ocMRCSa1iWm9G69m4xURkRAK9RZTdeUVkXHUahHfuPkxMhn45ResDR2OSFCpTUw3P7EPgPPVjVdE\n", "RAIYHmOqFlMRGcedD+5i2zOHeN65x7JqmVpLpb2lNjE9VPB3qhfluwJHIiIi7agw3JVXLaYicqR6\n", "a2k2k+FVl60NHY5IcKlNTAeLFbo6snTkUnuIIiLSwka68qrFVESOdPvPn2b7rkNcdv6xHLu0L3Q4\n", "IsGlNmsbLFXo69HFgIiIhFHvyturFlMRGaVWi/jmLVvJZTP8klpLRYAUJ6aFohJTEREJR5Mfich4\n", "Hty6lx39gzzn7BUcs7g3dDgiLSG1ielgqaIp+kVEJJhCqUpXR5achpSIyCg3bNgBwFXrVgeORKR1\n", "pLK2LA9VqVQjetViKiIigRTLVXp1g1RERtl/sMxdD+5izTHzOHXNgtDhiLSMVCamBS1qLiIigRVK\n", "FXo0vlRERrnl7p1UaxFXXLSaTCYTOhyRljFp5mZmVwOfAHLAZ51zHxn1/DLgy8Cx8f4+6pz7t+aH\n", "OnWDRT+up69HFwQiMjVJLOuktRVKVRbN15JlIjKiVou4acMOujqyPO/cFaHDEWkpE7aYmlkO+BRw\n", "NXAmcI2ZnTFqs3cAm5xz5wOXAx8zs6BNlYPxhBNqMRWRqUhqWSetq1aLKA2pK6+IHO7nj+3l6b0F\n", "nn32Mczr7QwdjkhLmawr7yXAFufcVufcEHAt8MpR2+wE6h3kFwC7nXOV5oY5PfUWU40xFZEpSmRZ\n", "J62rvlSMuvKKSKMbNmwH4MqLNOmRyGiTZW6rgW0Nvz8JPGvUNp8BbjSzHUAe+LXmhTczBbWYisj0\n", "JLKsk9ZVr4d6u1QPSTKZ2fuA1wM14D7gTc65Utiokm3/wTIbNvez5ph5nHKcJj0SGW2yGjOawj7e\n", "D9ztnLvczE4Gfmxm5znnBiZ6UT6fn2qM01ZjDwBLFs2f1fdphlaPby7oHHg6D0ElsqxLknY7D/sG\n", "/b8L8r3Dx95u52A8Og+tz8zWAm8FznDOlczsP4DXAF8IGljC3bJpB9VaxJXrNOmRyFgmS0y3A2sa\n", "fl+Db0lo9FzgQwDOuUfM7DHAgPUT7XhgYMJruaOyZ/9BADJRZVbf52jl8/mWjm8u6Bx4Og9ewAvW\n", "RJZ1SdGO3+/+PfsByGVqDAwMtOU5GIvOg5eA5PwAMAT0mVkV6MOXkzJDtVrEjRt30N2Z5XnnHhs6\n", "HJGWNNkY0/XAqWa21sy6gF8Hvjtqm83AVQBmtgJ/ofZoswOdjpFZedWFSkSmJJFlnbSu+rJlvRpj\n", "KgnknNsDfAx4AtgB7HPOXR82qmS7/9E9PLO3yHPOXqHrU5FxTJiYxhN7vAP4IfAA8B/OuQfN7O1m\n", "9vZ4sw8D68zsHuB64L1xgRaM1jEVkelIalknras++ZHGmEoSxcMVfg9YC6wC5pvZ64IGlXA3btgB\n", "wBUXrQociUjrmrTGdM5dB1w36rFPN/zcD7y8+aHN3KHiEKB1TEVk6pJY1knrqk9+pFl5JaHWAT9z\n", "zu0GMLNv4oczfGW8FySge/K0NeuY9h4ossH1c+KqBZx/erjxpfqMWl/ajme6Unkrt1Csd6FK5eGJ\n", "iEiLG+nKq3pIEmkz8AEz6wWK+GEMd070grSNHW7meOj/unUr1VrE5Rccy8GDB5uyz+lK4/jutB1T\n", "2o4Hpp9oTzbGNJEGSxpjKiIi4RTL9eVi1GIqyeOcuwf4In78/b3xw/8SLqLkqtUiboonPbr0HE16\n", "JDKRVGZug8UK3Z1ZOnKpzLtFRKTF1VtM1ZVXkso59zfA34SOI+nue3QPu/YVufyClWowEZlEKjO3\n", "wVJF3adERCSY+hhT1UUi7e3G9X7SoyvXrQ4ciUjrS2ViWihWdFdKRESCGZmVVy2mIu1q74ESG1w/\n", "a4+dz0mr2ntSG5GpSGViOliqaKkYEREJZmRWXtVFIu3qlrt3Uosirrgo3Ey8IkmSusS0PFSlUo3o\n", "VYupiIgEMjwrr1pMRdpSrRZx44YddHfmeO45K0KHI5IIqUtM6xcDajEVEZFQiuUqnbksHR2pq2ZF\n", "ZArufWQP/fuLPPecFRpeJjJFqasxB4v1pWJ0l1pERMIolCqakVekjd2wfjsAV160KnAkIsmRvsS0\n", "voapWkxFRCSQYqlKrxJTkba050CJTQ/tZu3KPCetXhA6HJHESF9iGreYaoypiIiEUihV6O1SPSTS\n", "jm7etINaFKm1VGSaUpeYFtRiKiIiAUVRRLGsFlORdlSrRdy0YQc9XZr0SGS6UpeYjowxVWIqIiJz\n", "r1SuEqGlYkTa0T1bdrP7QInnnrOCXpUBItOSusT0UL0rrwoDEREJoD47fI+WihFpOzdu2AHAlRet\n", "DhyJSPKkLjEd7sqrFlMREQmgUNYNUpF2tHt/kY0P9XPSqjwnrsqHDkckcVKXmNa78s5TYioiIgEU\n", "4xZTjTEVaS83b9pJFMEVmvRIZEbSl5iWdKdaRETCqffcUVdekfZRq0XctHEHvV05nnu2Jj0SmYnU\n", "JaaFor9Tra68IiISQqFcbzFVPSTSLu5+eDd7DpR47rnHauIzkRlKXWI60mKqO9UiIjL31JVXpP3c\n", "sGE7gNYuFTkK6UtMixW6O7N05FJ3aCIikgAjXXnVaiLSDnbvL3L3w7s5aVWetSs16ZHITKUuexss\n", "VdR9SkREghnpyqsWU5F2cNPGHUQRXLlOS8SIHI3UJaaFYkXjS0VEJJiCJuETaRvVao2bN+6ktyvH\n", "czTpkchRSV1iOliq0KeLARERCURjTEXax90P72bPQIlLzz1WM3GLHKVUJabloSqVakSvWkxFRCSQ\n", "QlljTEXaxY0bdgBw5TpNeiRytFKVmBbiu9RqMRURkVAKajEVaQv9+4rcvWU3p6xewAnHatIjkaOV\n", "qsR0sOjvUvf16GJARETCKGqMqUhbqE96dIVaS0WaIl2JaXwxoBZTEREJpVCukstm6OxIVRUrIg2q\n", "1Ro3b9pBb3eOZ5+lSY9EmiFVtWa9xVRjTEVEJJRCqapuvCIpt+nh3ewdKPM8TXok0jSpTEzVYioi\n", "IqEUtZ62SOrdsL4+6ZHWLhVpllTVnMNdedViKiIigRTKVZYu6A4dhsiMmZkB1zY8dBLwAefc3wUK\n", "qaXs2lvg3i27OeW4BRy/Yn7ocERSI1UZ3MjkR6k6LBERSYgoiiiUKvR2zwsdisiMOecccAGAmWWB\n", "7cC3ggbVQm7atJMIuPIitZaKNFOquvIWNPmRiIgEVB6qEUVaKkZS5SrgEefcttCBtIJKtcbNG3fQ\n", "193Bs886JnQ4IqmSqsRULaYiIhJSsezXMO3pUj0kqfEa4N9DB9EqNj20m30Hyzz/vGPp1qRHIk2V\n", "qppzUGvHiYhIQCP1kC5YJfnMrAt4OfCHk22bz+dnP6A5NtYx3XL3/QC8/LJTE3fMSYt3KtJ2TGk7\n", "nulKVQZXKPo71WoxFRGREIolXw/pBqmkxEuADc65XZNtODAwMAfhzJ18Pn/EMT2zt8Am9wynrVnI\n", "kvmZRB3zWMeTdGk7prQdD0w/0U5XV17dqRYRkYDqcx1oXUNJiWuAr4YOolXctHEHEXDFRatChyKS\n", "SulKTIsVujuzdORSdVgiIpIQhbJaTCUdzGwefuKjb4aOpRVUqjVu2bSTvh5NeiQyW1JVcw5qUXMR\n", "EQmoqJ47khLOuUPAstBxtIqNrp99B8v8wrOOo6tTf98isyFVTYuFYkXjS0VEJJhCqT4rry5cRdLk\n", "hg07AK1dKjKbUpWYDpYqWsNURESCKZQ1O7xI2jy9p8B9j+zBjl/IccfMCx2OSGqlJjEtD1WpVCN6\n", "1WIqIiKBjMzKqxZTkbS4aaNvLdWkRyKzKzWJ6WDR36VWi6mIiIQyMiuv6iKRNKhUaty8aQfzejp4\n", "1pma9EhkNqUnMY0vBvp6dJdaRETCKJbVYiqSJhtcPwcODXHZ+Ss16ZHILEtPYlr0FwNqMRURkVAK\n", "JS0XI5ImN2zYDqgbr8hcmLTmNLOrgU8AOeCzzrmPjLHN5cDHgU6g3zl3eXPDnFxhuMVUFwMiMn1J\n", "KeuktY105VXLikjSPbV7kPsf3cvpxy9k9XJNeiQy2yZsMTWzHPAp4GrgTOAaMztj1DaLgH8AXu6c\n", "Oxv4lVmKdULDY0yVmIrINCWprJPWVixXyWYydHWmpkOSSNsanvRonZaIEZkLk9WclwBbnHNbnXND\n", "wLXAK0dt81rgG865JwGcc/3ND3NygyVN0S8iM5aYsk5aW6FUoac7RyaTCR2KiByFoUqNW+7eyfze\n", "Di45Y3nocETawmRZ3GpgW8PvTwLPGrXNqUCnmd0E5IFPOue+1LwQp0YtpiJyFBJT1klrK5Sq9Gni\n", "I5HEu/3+nRw4NMRLnr1Gkx6JzJHJsrhoCvvoBC4ErgT6gNvM7Hbn3MMTvSifz08twimqRr7QWLZ4\n", "QdP3PZuSFOts0TnwdB6CSkxZl1Ttch5KQ1UWL+gZ83jb5RxMRudBkuAHt20FNOmRyFyaLDHdDqxp\n", "+H0NviWh0Tb8JCAFoGBmPwHOAya8WBsYGJhmqBPbd+CQ/6FWbvq+Z0s+n09MrLNF58DTefACXrAm\n", "pqxLonb5fkdRxGCxwoolmSOOt13OwWR0Hjwl561t5+5B7t3SzxknLNKkRyJzaLLEdD1wqpmtBXYA\n", "vw5cM2qb7wCfiicP6cZ3f/vbJsc5KY0xFZGjkJiyTlrXUKVGtRapHhJJuJs2xJMeqbVUZE5NOPmR\n", "c64CvAP4IfAA8B/OuQfN7O1m9vZ4m83AD4B7gTuAzzjnHpjdsI9UqK9jqjGmIjJNSSrrpHUVy/Ea\n", "ploqRiSx6pMe5fu6uOTMY0KHI9JWJs3inHPXAdeNeuzTo37/KPDR5oY2PSMtprogEJHpS0pZJ61r\n", "eA1T1UMiiXX/o3sYGBzilZedTGeHln0SmUup+YsbLFbo7szSkUvNIYmISIIUSnGLqbryiiTWhngl\n", "sOeeuzJwJCLtJzVZ3GCpoosBEREJRl15RZKtVovY6PrJ93ViJywJHY5I20lPYlqsaHypiIgEM9KV\n", "V3WRSBI9tnOAfQfLXHDaUnLZTOhwRNpOKhLT+hT9fboYEBGRQEa68qrFVCSJ6t14L7LlgSMRaU+p\n", "SEyHp+hXi6mIiARSLMeT8HWpLhJJoo2un85clnNOWhw6FJG2lIrEdLDoLwbmKTEVEZFA6i2mmpVX\n", "JHl27S3wxNMHOeukxeqOLxJIOhLT4aViVJCIiEgYBdVFIok10o13WeBIRNpXOhLTor9LrcmPREQk\n", "FM3KK5Jc9cT0gtOUmIqEkorEtH6Xuk/dp0REJBC1mIok06HCEJsf38dJq/IsWdAdOhyRtpWKxLQ+\n", "xlQtpiIiEorGmIok0z1b9lCtRVyobrwiQaUjMdVdahERCWx4uRh15RVJlI0aXyrSElKRyanFVERE\n", "QiuWK2SAbiWmkgJmtgj4LHAWEAG/5Zy7PWxUzVep1rj74d0sW9jN8Svmhw5HpK2losV0ZIypElMR\n", "EQmjWKrS050jk8mEDkWkGT4JfN85dwZwLvBg4HhmhXt8H4OlChfacv3tigSWikxOLaYiIhLaYKlC\n", "b5fqIUk+M1sIPN8590YA51wF2B82qtmhZWJEWkcqalCNMRURkdCK5SoL+jpDhyHSDCcCu8zs88B5\n", "wAbg3c65wbBhNVcURWxw/fR25TjjhEWhwxFpe6nI5NRiKiIioRVLVY5Z3Bs6DJFm6AAuBN7hnLvL\n", "zD4B/BHwwfFekM/n5yq2pnl85wF27SvyvPNWsXjxwiOeT+IxTSRtxwPpO6a0Hc90pSKTqyemvZqi\n", "X0REAqhUagxVa/Ro4iNJhyeBJ51zd8W/fx2fmI5rYGBg1oNqtp9sfByAc09edET8+Xw+kcc0nrQd\n", "D6TvmNJ2PDD9RDsVkx8Nlqp0d2bpyKXicEREJGEKZb9UjCbhkzRwzj0FbDOz0+KHrgJ+HjCkWbHR\n", "9ZPNZDj/lKWhQxERUtJiWihWNL5URESCKcZzHfSo546kxzuBr5hZF/AI8KbA8TTVvoESW7Yf4My1\n", "i5ivseEiLSEV2dxgqUJehYqIiARSKPkWU90klbRwzt0DXBw6jtmy6aHdAFyo2XhFWkbi+75GUcRg\n", "saKJj0REJJhCOW4x1RhTkUTQMjEirSfxielQpUa1Fmlcj4iIBFMcbjFVYirS6krlKvc9uofVy+ex\n", "Yklf6HBEJJb4xFRLxYiISGgFractkhj3P7qHoUpNraUiLSb5iakuBkREJLD6rLzqyivS+urdeDW+\n", "VKS1JD8xLcZT9KvFVEREAlGLqUgy1GoRGx/qZ8G8Tk5ZvSB0OCLSIPGJaf1ioE/jekREJBCNMRVJ\n", "hke2H+DAoSEuPG0Z2WwmdDgi0iDxianGmIqISGgjXXlVF4m0MnXjFWldyU9M1X1KREQCG+nKqxZT\n", "kVa20fXT2ZHl7JOWhA5FREZJfmKqFlMREQlspCuv6iKRVvX0nkGe3HWIs09arInKRFpQehJTXQyI\n", "iEgghbKvi3SxK9K6NrrdAFomRqRFJT8xLanFVEREwiqUtFyMSKvb4HYBcMFpSkxFWlHiE9NCUWNM\n", "RUQkrGKpQk9XTrN8irSog4UhNj++n5NXL2Bxvjt0OCIyhsQnpmoxFRGR0ArlqlpLRVrYPQ/vphZF\n", "6sYr0sKSn5gWNROiiIiEVShV1HNHpIVpmRiR1pf8xLRUpbszR0cu8YciIiIJVSxVdYNUpEVVKjXu\n", "2bKb5Yt6WHPMvNDhiMg4Ep/NFYoV+np0MSAiImFUqzXKlZq68oq0qAcf30ehVOVCW0Ymo3HgIq0q\n", "8YnpYKmipWJERCSYQllrmIq0so1xN16NLxVpbYlOTKMoYrBYoVcTH4mISCDFUj0xVYupSKuJoogN\n", "rp++7g5OP2FR6HBEZAKJTkyHKjWqtUgtpiIiEkwhnh2+p0t1kUir2fb0Ifr3Fzn/1KWaj0SkxSX6\n", "L7Q+I6+WihERkVBGuvKqxVSk1WxwuwDNxiuSBMlOTEv1pWKUmIqISBhF1UUiLWuD6yeXzXDeKUtC\n", "hyIik0h2Ylr0d6nVYioiIqEU4jGmmpVXpLXsPVDi0R0DnH7CIub1doYOR0QmkejEtD6up0/dp0RE\n", "JJBCWS2mIq1o40OajVckSRKdmB7SGFMREQlMs/KKtKb6MjEaXyqSDJNmdGZ2NfAJIAd81jn3kXG2\n", "uxi4Dfg159w3mxrlOApF3aUWkeZo5bJOWltBY0xFWk6xXOX+R/ey5ph5HLO4N3Q4IjIFE7aYmlkO\n", "+BRwNXAmcI2ZnTHOdh8BfgBkZiHOMdUnP1KLqYgcjVYv66S1FcsaYyrSau57ZA9D1Zq68YokyGQZ\n", "3SXAFufcVgAzuxZ4JfDgqO3eCXwduLjZAU5keLkY3aUWkaPT0mWdtLaCuvJKCpnZVuAAUAWGnHOX\n", "BA1omka68S4PHImITNVkGd1qYFvD708Cz2rcwMxW4y/grsBfrEXNDHAiajEVkSZp6bJOWpu68kpK\n", "RcDlzrk9oQOZrlotYtND/Sya38VJq/KhwxGRKZps8qOpXHh9Avgj51yE79o2Z93bCpr8SESao6XL\n", "Omlt6sorKZbIcm7Lkwc4MDjEBactI5tN5CGItKXJMrrtwJqG39fgWxIaXQRca2YAy4CXmNmQc+67\n", "E+04nz/6O1jxtQDHLFtEvq/rqPcXQjPOQ9LpHHg6D0G1dFmXBmk+D/FqMSxfuohcbvz7vWk+B9Oh\n", "85AYEXC9mVWBTzvnPhM6oKna4HYBWiZGJGkmS0zXA6ea2VpgB/DrwDWNGzjnTqr/bGafB7432YUa\n", "wMDAwLSDHe3AwSIA1XKBgWrpqPc31/L5fFPOQ5LpHHg6D17AC9aWLuuSLu3f74ODJbo7swwOHhp3\n", "m7Sfg6nSefASkpxf6pzbaWbLgR+b2Wbn3K3jbdxKx3T3lj10deZ49nnH0905854MrXRMzZC244H0\n", "HVPajme6JkxMnXMVM3sH8EP8Egr/6px70MzeHj//6TmIcVyDpSrdnbkJ71CLiEym1cs6aW3FcpWe\n", "Lg0pkXRxzu2M/91lZt/CTxI3bmLaKjccdu4eZNvTB7nIllEuDlIuzmw/abuJkrbjgfQdU9qOB6af\n", "aE9akzrnrgOuG/XYmBdpzrk3Tevdj1KhWKGvR2N6ROTotXJZJ62tUKrQoxl5JUXMrA/IOecGzGwe\n", "8GLgzwOHNSX12XjVjVckeRJ9i3ewVGFBX2foMEREpI0VSlUW5btDhyHSTCuAb8Vj6juArzjnfhQ2\n", "pKnZ6PrJABecpsRUJGkSm5hGUcRgscKKJb2hQxERkTZVq0WUhqr0akZeSRHn3GPA+aHjmK6BwSHc\n", "E/s55bgFLJyfzEkxRdpZYgdnDlVqVGsRfVo3TkREAhleKkZdeUWCu+fh3dSiSN14RRIqsYnpoNYw\n", "FRGRwAolXxf16iapSHAb4vGlF9rywJGIyEwkNjE9VNTFgIiIhFVvMVVXXpGwhio17t2ymxWLe1m9\n", "vC90OCIyA4lNTOt3qdViKiIioajFVKQ1PLh1L4VylQttGZlMJnQ4IjIDiU1Mh7vyalyPiIgEUihp\n", "jKlIK9igZWJEEi+5iWl8MaAWUxERCWWkK6/qIpFQoihio+tnXk8Hpx2/MHQ4IjJDiU1MCxpjKiIi\n", "gY105VWLqUgojz91kN0HSpx/6lI6com9tBVpe4n96x3UGFMREQlspCuv6iKRUDaqG69IKiQ3MY1b\n", "TOcpMRURkUCGW0w1K69IMOtdP7lshnNPWRo6FBE5CslNTDUTooiIBDY8xlR1kUgQu/cX2bpzgDPX\n", "LlIvOpGES2xiWh9jqkJIRERCqbeYalZekTA2PuS78V5oywNHIiJHK7GJ6fAYU92lFhGRQOpjTNWV\n", "VySM+vjSC03deEWSLrmJaVEzIYqISFjFsoaViIRSKFX4+WN7OWHFfJYv6g0djogcpeQmpqUq3Z05\n", "cpoWXEREAhmZlVc3SUXm2n2P7KFSjbhQs/GKpEJis7pCsUJfjy4EREQknEKpQmdHVmsnigSwQcvE\n", "iKRKYmvSwVJF40tFRCSoYrmq8aUiAVSrNTY9tJvF+S7WrsyHDkdEmiCRiWkURQwWK/RqRl4REQmo\n", "WKqqG69IAA8/eYCDhSEuPG0Z2WwmdDgi0gSJTEzLQzWqtUgtpiIiElShVNHERyIBbBiejVfdeEXS\n", "IpGJ6fBSMWoxFRGRQKIoUldekUA2un66O7OcdeLi0KGISJMkMzEtanp+EREJq1SuEgE9qotE5tSO\n", "/kPs3D3IuScvpatTN4ZE0iKRiWlBLaYiIhJYfakYractMrfUjVcknRKZmNZbTPt0MSAiIoEUyr4u\n", "6unSTVKRubTR9ZMBLjhtaehQRKSJkpmYxnep+3o6A0ciIiLtSi2mInPvwKEyD23bz6lrFrJgXlfo\n", "cESkiRKZmBbqLaY9uhgQEZEwiiXNdyAy1+5+eDdRBBepG69I6iQyMR2elVcXAyIiEkih7FtMezQr\n", "r8ic0fhSkfRKZGY3PMZUkx+JiEggheEWUyWmkk5mlgPWA086514eOp7yUJV7t+zh2CW9rFrWFzoc\n", "EWmyRLeYqvuUiIiEUhweY6q6SFLr3cADQBQ6EIAHtu6jNFTlIltGJpMJHY6INFkiE9OCWkxFRCQw\n", "deWVNDOz44CXAp8FWiILVDdekXRLZGKqMaYiIhJaQb13JN0+DvwfoBY6EIAoitjodjG/t4PT1iwM\n", "HY6IzIJkJqZFjesREZGwilouRlLKzF4GPOOc20SLtJY+tnOAvQNlzj91GblcIi9fRWQSibzNO1is\n", "0N2ZU8EkIiLBFMr+JmlPVyKrUpGJPBd4hZm9FOgBFpjZF51zbxjvBfl8flYD2vjQEwA87/w1s/5e\n", "dXP1PnMlbccD6TumtB3PdCWyNh0sVbSGqYiIBFVQi6mklHPu/cD7AczsBcB7JkpKAQYGBmYtnvJQ\n", "lR/d8Tjzezs5fU3frL5XXT6fn5P3mStpOx5I3zGl7Xhg+ol2IpscB4tVjS8VEZGgihpjKu0j6Ky8\n", "dz6wi4OFIS6/YCVdnboRJJJWiatNoyiiUKpw7NLe0KGIiEgbK5Sr5LIZOjsSeY9XZEqcc7cAt4SM\n", "4fr12wG4ct2qkGGIyCxLXG1aHqpRrUVqMRURkaAKpapaS0Vm2RNPH+Shbfs59+QlrFjSFzocEZlF\n", "iUtMh5eK0RqmIiISULFU0fhSkVl2/V2+tfSqi1cHjkREZlvyEtOiElMREQmvUKrS06XEVGS2FEoV\n", "/ufep1iyoJsLTl0aOhwRmWWJS0zrC5qrK6+IiIQSRRGFckVdeUVm0U/vfZpiucoVF63SEoEibSBx\n", "f+VqMRURkdDKQzWiSEvFiMyWKIq4fv12spkML7xAkx6JtIPkJabD68YpMRURkTAKWipGZFY9vO0A\n", "Tzx9kHWnL2Pxgu7Q4YjIHEhcYloYbjHVXWoREQmjUPY3STXGVGR2XL/+SUCTHom0k8QlpoMaYyoi\n", "IoEV1XtHZNYcOFTm9p8/w8qlfZx14uLQ4YjIHJlSjWpmVwOfAHLAZ51zHxn1/OuA9wIZYAD4Hefc\n", "vSygxXYAABO0SURBVE2OFdAYUxGZPa1U1klrG+nKqxZTkWa75e6dVKoRV65bRSaTCR2OiMyRSVtM\n", "zSwHfAq4GjgTuMbMzhi12aPAZc65c4G/AP6l2YHWDWpcj4jMglYr66S1jXTlVV0k0ky1WsSN63fQ\n", "2ZHlsvNWhg5HRObQVGrUS4AtzrmtAGZ2LfBK4MH6Bs652xq2vwM4rokxHkYtpiIyS1qqrJPWVlSL\n", "qcisuP/RPTy9t8Bl5x/L/L7O0OGIyByayhjT1cC2ht+fjB8bz5uB7x9NUBMZTkzVYioizdVSZZ20\n", "tsLwGFMlpiLNdP367QBctU73/UTazVSyu2iqOzOzFwK/BVw644gmoXE9IjJLWqqsk9ZWKPu6SF15\n", "RZpn9/4iG1w/a1fmOXl1PnQ4IjLHplKjbgfWNPy+Bt+ScBgzOxf4DHC1c27vZDvN52dW4BSHInq6\n", "cixatHBGr281Mz0PaaJz4Ok8BNdSZV3apO081PA3R5cszk/52NJ2DmZK50HGc9PGHUQRvGjdak16\n", "JNKGppKYrgdONbO1wA7g14FrGjcws+OBbwKvd85tmcobDwwMTC/S2MHBEr3duRm/vpXk8/lUHMfR\n", "0DnwdB68wBesLVXWpUkav9/7Dwz6H6rlKR1bGs/BTOg8eErOj1Sp1rhxww56u3M855wVocMRkQAm\n", "HWPqnKsA7wB+CDwA/Idz7kEze7uZvT3e7IPAYuCfzGyTmd05WwEPFqsaXyoiTddqZZ20tuLwrLwa\n", "ViLSDBtdP/sOlnn+eSv1dyXSpqaU4TnnrgOuG/XYpxt+fgvwluaGdqQoiiiUKqxc2jvbbyUibahV\n", "yjppfVq6TKS5fnxXfdKjVYEjEZFQpjIrb8soD9Wo1iItFSMiIkEVNSuvSNPs7B/k54/t5fQTFnHc\n", "MfNDhyMigSQqMdUdahERaQXFcpVsJkNnR6KqUZGWNLJEzEQrdIlI2iWqRh1ew1QtpiIiElChVKG3\n", "O6eZQ0WOUnmoyk/u3smCeZ1ccsby0OGISECJSkzra5hq8iMREQmpUKqqG69IE9z+82c4VKxw+QWr\n", "6FAPBJG2lqgSQC2mIiLSCorlCj1dqotEjtb1d20nA1x5kSY9Eml3yUpMhyeb0MWAiIiE4WeIV4up\n", "yNHaunOALdsPcP6pS1m+WCsuiLS7RCWmheEWU10MiIhIGEMVP0N8j26SihyV4SViLtakRyKSsMT0\n", "UFFjTEVEJKxiOe6906WbpCIzNVis8LP7nmLZwh7OO2Vp6HBEpAUkKjGtLxejMaYiIhJKQUuXiRy1\n", "W+95itJQjSsuWkU2q9mtRQQSVavWu/LqYkBEREIpxPMd9GiMqaSUmfUAtwDdQBfwHefc+5q1/yiK\n", "uH79dnLZDC+8UJMeiYinFlMREZFpGG4xVVdeSSnnXBF4oXPufOBc4IVm9rxm7X/z4/vYvusQF5+x\n", "nIXzu5q1WxFJuGQlphpjKiIigQ2PMVVdJCnmnBuMf+wCcsCeZu37+vV+0qMXadIjEWmQqFp1ZFyP\n", "7lKLiEgY6sor7cDMssBG4GTgn5xzDzRjv/sPlrnzgV2sXj6P009Y1IxdikhKJK7FtLszRy6XqLBF\n", "RCRFNPmRtAPnXC3uynsccJmZXd6M/d6yaQfVWsRV61aRyWjSIxEZkahadbBUYZ7Gl4qISEBaLkba\n", "iXNuv5n9N7AOuHm87fL5/KT7qtYibtz0FN1dOV5y6anM6+1sXqCzYCrHlCRpOx5I3zGl7XimK1FZ\n", "3mCxqkHyIiISVL3FtEctppJSZrYMqDjn9plZL/Ai4M8nes3AwMCk+930UD/P7BnkhReupFYpMjBQ\n", "bE7AsyCfz0/pmJIibccD6TumtB0PTD/RTkytGkURhVKFlUt7Q4ciIiJtrD7GVPMdSIqtBL4QjzPN\n", "Al9yzt1wtDutT3p01brjjnZXIpJCiUlMy0M1qrVIS8WIiEhQxXJ9uRjVR5JOzrn7gAubuc9d+wrc\n", "/dBuTl69gBNXtXd3RREZW2JmERrUZBMiItICNCuvyPTduGEHEXDlulWhQxGRFpWcxLS+hqlaTEVE\n", "JKCRrryqj0SmolKpcdPGHfT1dPCcs1aEDkf+f3v3GhvZfdZx/Du2Zzz2eLyXbLzZ9TrdbS4PTdTQ\n", "3aRJFFLSNiuUtJAALygI1AJqFSSEQoW4hBfAC6SoEoUQVVSUbKuEopYqLWVBqFI2FWokQrqbS0NJ\n", "8qBUu+3ed7PZjcf23Gd4cc7YY8de22t7/j7j30ey5szx2fXjOX8/Z575X47IOpW8wlRvBEREJKBS\n", "pUYqBf3pxFxCRYI6/MZ5xier3POBHfRrNWsRWUBirqqtobzqMRURkZBK5TrZTK/uwSiyRIcOR4se\n", "aRiviFxOYgrTYklzTEVEJLypck3XIpElOnFuktd/fImb92xh57Zc6HBEZB1LTGE602OqISAiIhJO\n", "qVJnQMMRRZbk2elbxIwGjkRE1rvkFKalaLEJzTEVEZGQiuUaWV2LRBZVqtR57gdn2DyU4daf2hY6\n", "HBFZ55JTmGqOqYiIBFarNajVmwzoVjEii3r+h2eZKtf4yL6d9PUm5i2niASSmCyhOaYiIhJasRLf\n", "Kiaja5HIYg4dPkkqBR+9VYseicjiElOYqsdURERCK5ZbH5Kqx1Tkcn50cpyjpwvsu3EbV23Khg5H\n", "RBIgOYVpSYWpiIiEVSpHPaaaYypyea1bxOz/oBY9EpGlSUxh2vqUWosfiYhIKMVKdC3KalVekQVN\n", "FKs8/8OzjGzJ8v73bg0djogkRGIK06lSjWyml54e3dBcRETCKJZbK8SrMBVZyHOvnKFSa3DvraN6\n", "3yYiS5acwrRcU2+piIgEVYpH72gor8j8ms0mh46cpK83xT17d4QOR0QSJDmFaanOgOaXiohIQK1V\n", "eTWUV2R+rx29yOkLU9xx0wjDuUzocEQkQRJRmDabTYrlmoZOiYhIUDOr8uqDUpH5PHNEix6JyJVJ\n", "RGFarjaoN5pakVdERIJqrcqr28WIvNvFQpkX33iLsZEcN45tCh2OiCRMIgrTYkmfUIuISHgzQ3l1\n", "PRKZ6z9fOkW90WT/B0dJpbTokYgsTyKurFNl3cNURETCaTablCp1LhXKgHpMReZqNJp898VTZDO9\n", "3H3LNaHDEZEESkSlN1XSPUxFRGR11esNLk1UeGeywvhklfFZjxXeadsen6pSrTWm/21OH5SKzPLy\n", "/73FhfEy9942qhFuInJFEpE51GMqIiIrUas1OHF+kqOnCxw9VeDY6QI/Pjsxq9icT7qvh025DGMj\n", "OYZzGYZzafbsGGZzvr9DkYskw6HWoke37QwciYgkVSIqPc0xFRGRpapU6xw/N8nRUwWOno6K0OPn\n", "JqjVm9PH9Pak2DWSY3Rbjk1DUcEZFZ4ZNuXS5Aejx/5Mr+bKiSzizIVJXn3zbW7YNcx7rsmHDkdE\n", "EioRld5Mj6nm9IiIbGStuZ7jk1UKU/HQ26kKhckqp96a4tjpAifOT1JvzBSh6d4ert0+xJ4deXbv\n", "yLNnZ56xkSHSfYlY/09k3fvO88doolvEiMjKJKMwLUWrIGqOqYhI96jWGkyVakyWqvFjjan4qzBV\n", "nZ7bWZh+rFKYqlKtLzz8NtPXw3t3zhSge3bkGb06R1+vilCRtfLM93/C0ECaO24aCR2KiCRYIio9\n", "zTEVEVmfGo1mVEgWq0xMVZkoRsXjRPy8UKxRrcE7E8VZhedkqbbo/M52/elehnNpxrbHcz0H0+QH\n", "0+Rb27kMI5uz7Nw2SK+KUJGOGp+s8PG7riWT1sg2Eblyiaj0WnNMVZiKiKyNer3BZKnGZDHqwZwo\n", "1pgsxo+larS/WG0rQKNezclSlWZz8f8fonmduWwfg9k+tg73x9tpBrN90/tz2T4Gsn3kB9MMD2ai\n", "x1xab3hF1rFUCu69VYseicjKLFrpmdl9wGNAL/CEu39unmMeB+4HpoDfdPeXVzPI6R5TDeUVkTWy\n", "HnLdailX6hSmqvFXpW27Omt/VIhGRWexUl/y/9+TSjE02MemXJrRqwcZGoh6L4cG0gwNpsnHj0MD\n", "UYE5sm0zzVqZTLpHCwmJJISZjQFPASNAE/iSuz8+37F/+Tt3cc1V2U6GJyJd6LKVnpn1Al8A9gMn\n", "gcNmdtDdX2875mPA9e5+g5ndAXwRuHM1g2zdx3RAPaYisgbWS66bq1Ktt/Vcvrv3cqJYY6JYjXoy\n", "24rOyhKHyGYzvQwN9DGyZYDcQB+5gTS5bB9DA+noeTYqLlv7cwPR9wazfcsqMPP5AQqF2pW+DCIS\n", "RhX4rLu/YmZDwItm9kx7Xmy55fqrKRQKnY9QRLrKYpXe7cCb7n4MwMy+DjwItCelB4AnAdz9BTPb\n", "bGbb3f3slQbVaDS5NFHh7fEyFwtlzlyYAtRjKiJrZk1yXbPZpFypz/RMtj/O2te2ANB0sVm77CI/\n", "c2UzveQH0+wayUVzLwejW57MbKenezZb231alVZEFuDuZ4Az8faEmb0O7GR2XhQRWTWLVXqjwPG2\n", "5yeAO5ZwzC5gwTdrp96a4Pipi7xdKEfF53h51valiQqNOZOWtuQz9PRoCJiIrIk1yXW//Mf/Tm0Z\n", "xWWKaC790GCarcP90dDYVu/lQNx72daL2d6bqTmYIrJWzGw3sBd4IXAoItLFFitMl7ikBXMrxsv+\n", "u4cefXbe/b09KbYO93P9rmG2DvezdbifLfl+rhru57pdw0sMRURk2dYk1103uon+dGp6WOzsx/hr\n", "ephsmmymVx/Aici6Eg/jfRp42N0nQscjIt1rscL0JDDW9nyMqJfgcsfsivct6N8+/6DeecXy+Xzo\n", "EILTaxDR6xDUmuS6v3r4Z5XrYmrfeg1a9Dokh5mlgW8CX3X3b1/m0FQ3ntdu+5267feB7vuduu33\n", "Wa7FJhgdAW4ws91mlgE+ARycc8xB4JMAZnYncGkl80tFRAJQrhMRaWNmKeAA8Jq7PxY6HhHpfqnm\n", "IjegM7P7mbmFwgF3f9TMHgJw97+Pj/kCcB8wCfyWu7+0plGLiKwy5ToRkRlmdjfwPeBVZqYtPOLu\n", "3wkXlYh0s0ULUxEREREREZG1pHsFiIiIiIiISFAqTEVERERERCQoFaYiIiIiIiIS1GK3i1lVZnYf\n", "M4uLPOHun+vkz18vzOwYMA7Ugaq73x40oA4xsy8DHwfOufv7431bgX8G3gMcA37F3S8FC7IDFngd\n", "/gL4NHA+PqyrF5gwszHgKWCEaFGNL7n7493UHpTvlOtQrlOuU65LlIXOV9ioVoeZ9RKtQH/C3X8h\n", "dDwrYWabgSeAm4nO02+7+3+HjWplzOwR4DeABvA/RAsslsNGtXSrdd3rWI9p/AfRWtHyJuDXzOx9\n", "nfr560wT+LC7790ob9RiXyE6/+3+BHjG3W8Eno2fd7v5Xocm8Ndxm9jbzW/UYlXgs+5+M3An8Ltx\n", "PuiK9qB8N025bkZXtO1lUq5Trkuahc5XN3gYeI2ZFZaT7G+B/3D39wG3AK8HjmdFzGw38BlgX1zU\n", "9QK/GjSo5VuV614nh/LeDrzp7sfcvQp8HXiwgz9/vUmFDqDT3P054OKc3Q8AT8bbTwK/2NGgAljg\n", "dYAN1Cbc/Yy7vxJvTxBdVEbpnvagfDdjw7TrFuW6iHKdcl3SLHC+doaNauXMbBfwMaJexkT//ZnZ\n", "JuBD7v5lAHevufs7gcNaqXGiD0UGzawPGAROhg1peVbrutfJwnQUON72/ES8byNqAofM7IiZfSZ0\n", "MIFtd/ez8fZZYHvIYAL7PTP7gZkdiIepbAjxJ4V7gRfonvagfBdRrpvRLW17NSjXdU976NpcN+d8\n", "Jd3fAH9INEw06fYA583sK2b2kpn9g5kNhg5qJdz9beDzwE+AU8Aldz8UNqpVsew818nCtBuGDqyW\n", "n3H3vcD9RMNEPhQ6oPXA3Zts3HbyRaJk+wHgNFGC6npmNgR8E3jY3Qvt30t4e0hq3KtNuW4eCW/b\n", "K6Vcp1y37sXn62mi8zUROp6VMLOfJ5r39zIJ7y2N9QH7gL9z933AJAkdCt9iZtcBvw/sJuqhHzKz\n", "Xw8a1Cpbap7rZGF6Ehhrez5G9MnahuPup+PH88C/EA2F2ajOmtk1AGa2AzgXOJ4g3P2cuzfjP9wn\n", "2ABtwszSRG/U/tHdvx3v7pb2oHyHct0c3dK2V0S5TrluvWs7X19tO19JdhfwgJkdBb4GfNTMngoc\n", "00qcIFrA6XD8/GmiQjXJbgP+y90vuHsN+BbReUu6Zee5ThamR4AbzGy3mWWATwAHO/jz1wUzGzSz\n", "fLydA36OaPWtjeog8Kl4+1NAN1wEli3+g235Jbq8TZhZCjgAvObuj7V9q1vaw4bPd8p179ItbXtF\n", "lOumdUt76Kpcd5nzlVju/qfuPubue4gW1Pmuu38ydFxXyt3PAMfN7MZ4137gfwOGtBreAO40s4G4\n", "De4nWqgq6Zad51LNZudGYZjZ/cwsKX7A3R/t2A9fJ8xsD1HPAUTDEf5po7wOZvY14B5gG9FY8z8D\n", "/hX4BnAtCV8yf6nmeR3+HPgw0dC2JnAUeKhtXH7XMbO7ge8BrzIztOMR4Pt0SXvY6PlOuU65TrlO\n", "uS5pFjpf3bJ6tJndA/yBuz8QOpaVMLOfJhpxkQF+RHRrlUQvgGRmf0RUvDWAl4BPxwuKJcJqXfc6\n", "WpiKiIiIiIiIzNXJobwiIiIiIiIi76LCVERERERERIJSYSoiIiIiIiJBqTAVERERERGRoFSYioiI\n", "iIiISFAqTEVERERERCQoFaYiIiIiIiISlApTERERERERCer/Ac3xN6lOVYPZAAAAAElFTkSuQmCC\n" ], "text/plain": [ "<matplotlib.figure.Figure at 0x7f1f4c067090>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16,5))\n", "\n", "subplot('131')\n", "title('History reconstruction (before)')\n", "plot(wm_performance[0])\n", "ylim([0,1.05])\n", "\n", "subplot('132')\n", "title('History reconstruction (after)')\n", "plot(wm_performance[-1])\n", "ylim([0,1.05])\n", "\n", "subplot('133')\n", "title('Effective length of reconstructed history')\n", "K = len(wm_performance)\n", "plot([2*N - sum(clip(wm_performance[n],0,1)) for n in xrange(K)])\n", "\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Summary Plot (Figure 2)" ] }, { "cell_type": "code", "execution_count": 93, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.gridspec as gridspec" ] }, { "cell_type": "code", "execution_count": 193, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_overlaps(t,axtitle='',axylabel=True):\n", " V0 = [dot(matrix_power(Wd_vals[t],k),F[:,0]) for k in xrange(N)]\n", " V0 = [V0[k]/norm(V0[k]) for k in xrange(N)]\n", " V0 = vstack(V0)\n", " \n", " imshow(abs(dot(V0,V0.T)),interpolation='nearest',vmin=0,vmax=1, zorder=1)\n", " title(axtitle,fontsize=fontsize)\n", " xlabel('time-steps in the past',fontsize=labfontsize)\n", " if axylabel:\n", " ylabel('time-steps in the past',fontsize=labfontsize)" ] }, { "cell_type": "code", "execution_count": 196, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA+kAAAJJCAYAAADWVnYlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXecnFW5+L8z2/tusiXZTYNATuhCIKAIeulFhVxFVJAi\n", "XEGaKKJY4NL0gnpFlKpSROlcQPBHgAACJiSkUEJIclI2m+1tdmZ2dnr7/XHeeZlstoZtyT7fz2c+\n", "O/vW5z3zvuc9z3maI5lMIgiCIAiCIAiCIAjC+OMcbwEEQRAEQRAEQRAEQTCIki4IgiAIgiAIgiAI\n", "EwRR0gVBEARBEARBEARhgiBKuiAIgiAIgiAIgiBMEERJFwRBEARBEARBEIQJgijpgiAIgiAIgiAI\n", "gjBBECVdEARBEARBEARBECYImaNxUKVUGdAM5ADnaa3/PhrnEQRBEEAp9UXgjV6Lw5h++C3g11rr\n", "jWMtlyAIkxelVD7wXeCrwP5AEdAFrAGeAv6utY6Pn4SCIAgTl1FR0oFzMAq6H/gOIEq6IAjC6PMY\n", "8JL1PQ84BLgY+KpS6iCtdf24SSYIwqRBKbUP8P+AfYElwK+ATqASOBF4CKO4/2S8ZBQEQZjIjJaS\n", "fhHwEfAC8DOl1F5a622jdC5BEATB8J7W+rH0BUqpzcCdwH8Cvx8XqQRBmDQopfKAfwJzgP/UWj/f\n", "a5PfKKUOBw4fa9kEQRB2F0Y8Jl0pdRjGevOA9QFjTRcEQRDGnhbrb3hcpRAEYbJwMTAP+N8+FHQA\n", "tNartdb3ja1YgiAIuw+jYUm/CDMY/JvW2q2UegM4Xyl1g9Y6OQrnEwRBEAwFSqly63secCDwS6AD\n", "+L9xk0oQhMnE14Ak8KfxFkQQBGF3ZUQt6UqpXOBbwPNaa7e1+C/ADODkkTyXIAiCsBM3Ae3WZzsm\n", "JjQKHKO1bh9PwQRBmDQcCHRrrevGWxBBEITdlZF2d/9PoIRP3NwBngNciMu7IAjCaHM/cIL1+RIm\n", "KVM5sFgpNWs8BRMEYdJQDPjGWwhBEITdmZF2d78Ik71zu5XZM8WrmOzCU7XWrhE+pyAIgmDYrLVO\n", "L8X2klLqLWAFcDvwzfERSxCESUQ3ptyaIAiCsIuMmCVdKbUX8B8Yq40GNqV9vglkA+eO1PkEQRCE\n", "wdFar8QMmv9jvGURBGFSsA4oscaFgiAIwi4wkpb0C62/FwOeXuscwK0Yl/c7R/CcgiAIwuBkIpYt\n", "QRDGhmeAYzDjwZ+PsyyCIAi7JSOipCulnMAFwFqt9YP9bHMAcKNS6nCt9eqROK8gCIIwMEqpE4F8\n", "YOl4yyIIwqTgL8BlwI+UUu9qrV/ovYFSagGwUGt975hLJwiCsBswUpb0kzAZ3P88wDb/B9yIiVsX\n", "JV0QBGHkWaCUSoUV5QAHAN8FIsAvxk0qQRAmDVrroFLqS5jqEs8rpV4FXsMkEa7AhN6cBPx6/KQU\n", "BEGY2IxUTPpFmJqYz/a3gdb6Y0x8+tlKqZwROq8wDJRSCaXUSYNs87BS6vGxkknon6H8XmMkh9wT\n", "E5+k9fcbwCPW535MScyXgaO11m+Pk2zCACilblRKLf+Ux5hj9RfzRkquiYhSaptS6ruf8hinK6Xe\n", "GSmZJhJKqYeUUlePtxwAWuutwKHAD4EC4GeYPukaa5MLEFf4CctI9Ev9HPdHSqlWq7/6ykgfXxg6\n", "SqkVSqn/HmD9m0qp/xlg/aR474wnI2JJ11qfNcTt5o/E+YT+UUo9DJzXa3FMa50NTAPcO+20I1eO\n", "hlwjgVLqNuBIrbUkwBpbJuw9IRi01m8x8iU1R5RefVMUaAaeAn6utY4N8RinAC9prSf0tY4m/fSD\n", "9Zj+vXN8pNp1lFKtwI+11o8MYfPDAf+nPOUtwE1p538CCGqtL+x/l4FRSv0CU/LwEKBVa71TwjTL\n", "vftua5sm4OYhXnNq/xuBG/pYtV5rfaD1/TfAG0qp+7TWoeFdxcijtQ4Cv7c+Qh9Y/WKO1nrcKm8M\n", "8xn8NOepwVQZORt4m53zV+2WKKUuBX7S13M/wc+V5JMJ/l1ZP+T3zli20Z7EpB3o7MEkgecxD07q\n", "UwOgtW7XWkf72kkplaGUcmitfVrrMa1vqpTKHsvzTTSUUiNdCnGo5x1Su4/HPSHskaT3TXtjLGyX\n", "AD8dT6FGgr6epVSfOhbn11onrP49MRbnG2GSmOSy/ZJqX62169Mon0qpI4HZwD939Rj9kAk8DvyJ\n", "Pga1Sqky4BVgLca6/BvgL0qp44Zxjt+w83u9DZOkDQCt9XqgBVi0S1chjAeDKUJjJcNY9FV7Wef5\n", "p9VfRQbbYU8aH47XWG+0GI/3jlIqa6zONRHYo24YATAdYEhr3d57hVIqAZyitX5VKfVF4A3gNMzL\n", "XwHzrNl6e1ZXKVUH3IUZWJyBGRT8VGv9VNpxvwr8FqgEXgLWAJf0N2OmlLoA+B/g+8CvMIOmLGv5\n", "VcC+mBnWFzCzu35r3Y/TrgPgi1rrt5VSc4A7gOOAILAY+IHW2mNtfzbw35gXhA94R2t9Zn8NaLkL\n", "Xo0ZCG20ZHhVKZWBsYBco7V+tI/rqdZaJ5VShwD/C3wW6MJYC3+mtQ6ntel9wGFp7W9bdgaQa7Dj\n", "XotxIZyD+Z3+DtyktY5b6x8GcoGtmKy7663f+19W290JzAXeBS7QWjek7Teq94QwKejdNz1nxc8v\n", "TG2glDoK0yccYi1aDlyptd5mPecvWdul+oAbtdY3K6XygNuAr2OS5K2y9tvQnzBKqZSydBQmZv8d\n", "4Kta67BSqhxzj59qyb0YuEJr3WHt+zD9P0upZ3o+sI9Sqn04su1KP4ixaNQC87XWm6z138TkgZkD\n", "1GEst49a6+ZY258J/AT4DPAxcJHW+qN+5Poi5p1xCqa/nWO1y7cxIW/XYUqt/k5rfZu1TyYmV81x\n", "mPKstcCtWusnrfVvAlXAQ0qph4A6rfXeVluejFF8r8V4Xuxt9T3/o7W+Xyl1sdWuB2qtW60JkVeB\n", "bq31V/u6Bsxv8Epan3ijtQyl1PnWNnO01vX97N8nWusbrWNcCvTlwnuOdQ2XaK2TwEal1DGYd+Ab\n", "1r5O4HpMFZypwEeYd8071jn8pHkRWAkhK4GHe53rnxhLpYQo7R44GEBBVkp9DTN+2QfzHP+v1vov\n", "1ro5DOE5VkrdgknkB3APpm8Jaq0v7O8ZTNv3vzAeHAWY3FKX96dcW/fwLZhqT2WY9/73tdZrrL4r\n", "lVg6oJRKaq0z+jjGBfQ9PpwK/A7jsQLwFqYfbUrb93Jrv1mYyao7tNZ/sNadiMmBsB/QCvxBa/27\n", "tH0TmGfv68AXrLa+XGv9Zlpb3w18DqM7bcFMMudbbZreJ1+gtX7E+v8S4Czg88Bl1nFO1lp/Nu3c\n", "N6Yvs8aa12PGc9OA7ZjfoHWAcw3YPpZyeyemLwow9HwQWUqpP2C84HqA32it70xrE/u9s4tttDfm\n", "XfsFIISZdPyB1jpgbf8m8B7m/vs68A+lVDWwTmv9w7Q2XIAZL8zoS//ZXRFL+p7JcGZEbwIuxSSY\n", "aqfvWd0fYwYSBwOPAQ8rpSoBlFJzgSeAhzAD6zcwg6rBZoZLrfN+HfNiAXM//hg4EDgXk1zmVmvd\n", "E5gH+R0+sSQstzqeV4AGzGD/ZGAm1sBFKTXd+n4TMA840ZKxTyyF/leYl+JBGKXgBaXUHGtg9xQm\n", "7jedbwBPWgr6FEyCnDes9jgLM0C9vdc+qTY9ENN2AzLE40YwHeJ+wBUY5eGKXoc6HdP2x2ASiqXu\n", "ldR9cBRQzI6lEsfqnhD2fOy+SSl1MOZl/mHa+gJM3OqRmJd2lE8shfWYGHv4pA/4rfX/PZg+7AzM\n", "5NdaYIlSqqAvISwl/HXrmJ+15HiFT96Jf8MMik/APGd7AY/2Osxgz9L+QMdwZWMX+sE+ru9I6xru\n", "t859D+YZPbrXprdgFPlDMS6Lf+1HpnR+ihmwnYT5jV60rus4zHP+K2sCBCADM4g7I02Ov6WtX4Rp\n", "o+9b13JE2nkOBI7F9OmnW8vsvshSVFYAD1jrrsT02ZcMIPvRGMUhxW+AfwBP8kl7NiqlZimlepRS\n", "vgE+w3FPPgr4l6Wgp3jNWp7ieoyydZ51Hc8CryjjItwX3wHe0lrX9Vq+GqMQCLs5SqkvYJ7hWzHv\n", "9Z8Bv1ZK9TYy9PscK6XOwxgdvofp68oxk4+pe3GgZ3B/zCTgiZgxx1cxfVt/XIt5/r6HGddtAl5W\n", "ShVj+q7U5NlsYPoAx+lrfPg0Jhnqf2D66xBmbOawrvMijHJ/myX3OZhEhSilZmH6qVcxz9b1wC1K\n", "qdT7JMWNmMoEB2P6lsfSLLd3Y9r2SEumWzFjrmWYCZJGPulDnux1zAcwv98rDG0cdCOmHa/BTPZ+\n", "D2OAeqePc6WMIwO2j7Xff2Im8E7E9NcHDCKHA/gv63wLgF8Cd1gGo74YThs9ZU3qvIB55x1lyXc8\n", "O4fH/BdmjH84cDNmbPlNazIjxfnAy3uSgg5iSd9T+apSKt09+S6tdX8upT/TWi9L/WM90OlKfhJ4\n", "Tmv9gLX+Royb6lGYh+u7wBqt9c3W9lssi0t6R98XOcB/WcllAOhVvm+7Mgkt7sDMqoWUUgEgmv4Q\n", "KqW+DQS01lelLbsU2KSUqsC8CMLA/9Na92Ae9HSloDdXA/dprVMvuZ8ppY7HDACvwXS+byilSrXW\n", "Hmv28jiMUg9wObBUa/2rtPa4FjMQTCX0SVry3DdIG6Uz6HFTs5sW9UqpOzAv1vTlnRiLYBLsGDGA\n", "67TWy61lv8Oa9bQYq3tC2PNJ9U2ZmD7gz5gBCQBa69fTN1YmSVibUmqu1nqrUspjbZfeB8zGDMim\n", "aa27rGXXYAaEp/PJICadK4FmrfV30pZttPZVGMXwM1rrtday84GPlVIHaq3XWdv39yzZfequyLaL\n", "/WDvw1wNvJBmKbpTKfU5zHO6LG2727TWS6xj3AIsU0oVa627+2izFD/VWq+x9nkGM0l5mmVd26SU\n", "ug6jvL9vefnckrbvvUqp063rf19r7bYsK94+BlcO4MJBQm0uBtYppX6DsRR+U2s9UHzkPph3AGCs\n", "00qpML28z5RSTZiB+kAMZzBYAazvY/8K63y5GAXnc6l7DviNMom1zqGX1UspVYqZ+OgriV49MEUp\n", "Vaa1HiwHjTCxuQHjAZNS+uosi+F3MaFDKQZ6ji8H7k55uimlrgC+nNpxkGcwibHKhzDeH09jlMA/\n", "9CPv1Za8/7DO9V2MRfp8rfUflVKp+7GtP2u8xQ7jQ2W8Tg7EeCvGrGUXYTyNDsd4J92A8dJJ9Z+1\n", "GKUWjJK7Xmv9E+v/zUqpAzFjusfSznu/1vpZ6/i/wHgE7IeZWJ2BMcZssra1x67WOy3ej4L4YNrv\n", "lxpj94syXmHXYCzN/2ctrhvoXENsnyswv83L1voLMUrzYLyrtU71P/cq42n6RfoeRw+rjZRSJ2P6\n", "5C+m+m2l1JWYyYVrtdZea9MPtNa3pu3XjJkQOBl4yZpI+Qbmd96jECV9z+RlPlEIYeDkHGsGWJci\n", "NWhAax1XSnVg3OzAuMmv6uOYCxkYX7qCDra7ys2Ymc5SzP2ZrZRy6v5jXg4GDug1KQHm5TIXWIlx\n", "lalVSr2MaZvntElo0xcK41KezjLMbCaYTr8FM8h8APga0KC1fjdNntN6yeMAcpVS07TWrdayobR7\n", "OoMeVyl1AmamXWGs4ZnsPJD8sJc1J8XatO+tQIlSKlP3n9BrNO4JYc8n1TeVYKwZJ2Nc4boBlFJV\n", "mNn6YzEumCnL9izSXvi9OBBjsd3eS1nNxcS+97dPf9nu52NcQdPv8Q3WBMF8IKWk9/cspT/bw5Zt\n", "F/vBnQ7DjoNPMH1Xb6Wu93MP5jkeSElPd4dvB7b0GnC3Yax1RhDjgnoR5jfMsT6uQeTHOu6AuTCs\n", "fu9qrIoGuo963L0oxrhsprPTb2h5TdUOQcaRYi7mOVjW6z7Jwbgv9+ZbGAvVM32sS7VZCYMnihUm\n", "NgcDn1VK3Zq2LBPj/pzOQM/xPNImeaz39UCGinS26B1zQLRi+rSdUEqVYPpsu3KC1jqmlFrJJ+On\n", "odJ7fHgwMAVw93o+MoC5SqmNGA/KN/s53vx0uSzewUxgpNNfO4LxYPqTZRh6DXhaaz2UPmK4Y719\n", "MO+HN4exz2DtsxlzHStTK7TWnUqp/t6pKZLs2CZgxr8V/Ww/3DaaD2ztNbH6jiX3vhivoCS92tCa\n", "rH4c43X0EmbCOwNjJNqjECV9z8Q/xM4DTGzKYPRONpfkk8HzriYc2eG8yrh+vgI8h7G8dGLcSB/A\n", "3Kf9zboWYh7q7/SxrllrnbAs4Z/HxFJeD9yolDoibZZuMOzrs1zan8TM2j2AcR16Im3bAozbUV9Z\n", "eDvSvg+l3dMZ8LiWxe5FjMXtx5jB2TfZ+SXU3+RE+m+cGrQOFA4zGveEsOdj902Wu/AWjBtcqhTT\n", "w5hn+nKMxdOJUYoHShZTiPGW6csFrz8lZSTu0f6epfRneyDZunov+BT94K4y3Oe+r316T+TZfYEy\n", "4UO3YWLs12Biqn+PiV0fjP7atzefB+KYmHVHPxMnKboxv0lvdtjHco9d33t5L76rtR5q3Hc7xsUz\n", "nUo+eSekZDqenTMl9zVhciHwlO47iV7RAPsJuxcFmP7x//Va3vv9O9zneKh930Dv+aHiYPihbr3H\n", "R4UYa3JfJWnbGfx6htrf29drjfXAul6t9Z+VUq9iYr5PwYwjv6m1fr7PI31C72tJ9CHLp02GNlj7\n", "pHS9XQk5HPI98CnaaDD6Gi8/BLytTCjFecATup/E2LszoqTveXzauN/h7q8xri/pLNiF48zHzAT+\n", "JM0t9Oxe20Qws2XpvI+J42vpzzpuDdr+DfxbKXUzZnD8H+zoLpZiIyZuMd1CcTQmCUeKx4EfKqU+\n", "g7H4XZW27gNM4qhtgwwWh8uAx1VKHY4ptfeztGWze222q/KM1z0h7Fns8Ptrk6Dtd8AvlFK3WArH\n", "0Rg3v5TrZu8Y6oi1PF0Z+wBjeSjVWr83RFnWAWf1o9RtBPKUUodorT+0zrc/xqrdbyK6fhiubLva\n", "D/Ym1Y/9Nm3Z0ezscj3afB54U2v9ENiJpfbFeDelGMr19IkyJfnOxyi3j2HcRH87wC5bMRa3dCLs\n", "PBYaaXf3FZj7PP1+O4FP8glssOSYobVe2dcBUlhuugvovzTmLMCdun+ECc9A2d0/APYdhtGlLzQm\n", "1Oz/wE7meAifWIrhUzyD9km09ipTyu1ojAU0lazsCIxV9dPwPsaVOpDmjbgDSql6zLiur+dnI0Zp\n", "TOdohtmfa623Y9ys71ZKPYCZLHue4bVfBzvH4x/CJ/fAFszE7n+wY2x7iv7GwYO1TxsmVjwVqlRO\n", "/55mu8ww22gDxtJfoa2krJjfJQ5sHuQ8q5VSWzBhTqdhxuJ7HKKk73l8WuvQcPf/E0Zh/QWmQzke\n", "M/gYbv3LBsyM3VVKqUcwnUnvBCXbgEuVUvthOjoPJpnTT4D/U0rdhLFC7AucqbW+VJkESsdhrFMu\n", "S7ZsTEKTvrgD+KtS6gPMAOpCjNvpWakNtNYfWJ3DI8CGtBhVMJ3TJZhMqb/HWI4OwMQa/niYbZLO\n", "YMetBQqUycT6BsaNeBE7zoLu6r0xXveEsGfR1330ACbR2vmYBElbgfOVUh9hBjK9M9DWWX+/opRa\n", "hrHMaytW8nGl1A8wL/5qTNzlQ1pr3cd578IkSnpQmdwNUUwynT9bx1tsrUv1QfcAS7TWfbke98su\n", "yLar/WBvfg+8o5T6ISbb92mY/uALw5F/F0n/nbdgEvx8EaMUfJ+dB6h1wHFWm4eHGketTFmzBzAZ\n", "/t+2YjCfU0q9pE0psr5YhlFwe5//a0qpVPUP13Dd3S3L+xTMQDlbmcRKDq31B9Ymj2FyL9ynlLoT\n", "M3nxdUw/jda621p+l6XYrMKEDJwEvK21Tg/N+I7ZRa/oR5zDgaVDlV0YdxxAWeqeSVveiEm89axS\n", "qgHjKZeF6RMytNb3D/H4KYVpDcZ1+fsYy2v6xEAdu/AM9sEdwPVKqW0YJevHmPHWp62/vgSjiD6v\n", "TM6L7ZjqEl/D5ADxYtrqd0qpToyreBWwlzYVLe4FfqCUuh2TYX4hxlvr4qEKYL0n/h/mHVWFSc72\n", "D2t1HTBNKbUQ0290DxBz/ybmOf++dbyvkDZhoLUOKqX+F/i9UiqOmdCcAxRa4Tw7nWuI7XMP5rfZ\n", "ipmE/B92tpL3pq/KA/1WIxhuG1lyb8YkE70W04f+ERPHn/J0Haj6wYOYMcLWwSY3d1cku/uex3Bq\n", "bva13bBqdlozvN/EDBw+xAx078LMBA5ZRiuZxEWYkhPrMMrxz3tt9yTGtX05Ju7xc9qUpTkWM1B9\n", "CfMS+h2fuAx6MQPTlzGd4FXAuf0N4rTWT2OyF9+Eib08BfiKNTuYzhMYJfnxXvs3YQZgUzDW9/cw\n", "LupDSdDRL4MdV2v9PuaFeDPmd/gi5qWV3n79/baDLRuLe0LY8+nrue/GZCJOWQUvwig6azH3zE/T\n", "97HurV9hFPp2TLItMGXAnsWUNtyAmbyrog+Xcus4nZiJozkYK+cyzGRSKub7fMxE3muYLPBbMQm8\n", "+r2WtOW96U82V9o+qYzlu9QP9j63NWD5NiYG/SOMon++tsp5DSDrYM957/V9tUP6//dh+uXnMTkA\n", "ujCu/On8ApOVejufxB4Opc+5CzPw+zWA1voVzL30iNox6286TwIn9Vp/L6YdP7L+9ra0D4WbMX3y\n", "zzBu7e+TFkdpKT2nYCxm72H66ou01v9KO8Z1mHfXrZj75DmMNT+9xFQW5j4cqCJIf8kShYlJEjNZ\n", "8z7m3kh9ztNav4RRtL5mrf8X5t26rdf+fR0TAK313zCTdvdh+gwPRlFMD5UY6jM42HP5v9Z57rPk\n", "3QdT9jc9t8RQ+pje74kk5vl5HzP22oBJOppMXYc21R6uxzyDH2P62TJrXQNmYvREzLvlFuAXwwhX\n", "AWPUvB/jjfQs5r3w39bx38BU01iMeS/1rgCUfi0b+CQR8XuYnAH39trsvzFZ5n9vne9urBChvs41\n", "lPbBhB09jwmbXIIx5gw26TyUeyD9+7DayJL7KxjL+QprnyXsmFNroHvu7xgFfihVSXZLHMnk2Hig\n", "Wm5pv8e4O/xFa927JFVquyMwHcnZ2spsONR9hYmBZQEq1Vr3VS9WmITIPSEIwkTAsijeMgJxkhMO\n", "KyzjX8DsfuLVhUmONUG1BfijTqsTLgi7G1Z/txbT3zUNtv3uyJi4u1udwl0Yy0UTsEop9YI1o9R7\n", "u9sxVs9h7SuMH8qU9FiOsVqfhplF7F1/UphEyD0hCMIE5XqM5XCPU9IxniX/Iwq6kMJKrHU+xiso\n", "A+PuXomxqArCboeVV6EC43X0jz1VQYexi0lfiCnlUAeglHoCU+Ozt6J9JSZh1xG7sK8wfuyPccks\n", "wczQXqK17qs0jDB5kHtCEIQJh+VC/NJ4yzEaaK0vHG8ZhAlHEpOP4iaMkr4WOM5yAReE3ZHPY1zp\n", "12Hc5fdYxkpJr8EkxEnRiEl+YaOUqsEo38dhlPTkUPcVxhet9WWYDIuCAMg9IQiCIAjjjRUPftx4\n", "yyEII4XW+k0+ZTWC3YWxShw3lMD33wPXWYkE0rP5SdkmQRAEQRAEQRAEYVIwVpb0JnbMmDqTnbNd\n", "LwCeUEqBKT1yqlIqOsR9dyCZTCYdjk9biUwQBGFEmNSdUXV19ahMtNbWfprSwQOTlZU1KsdNJBKD\n", "b7SLxOPxUTnuaL1Ls7OzR+W4ANHoYJWFdo3RamMAp3N0bCY5OTmTuv+Jx+PJQCAw3mKMOvn5+UyG\n", "64TJc61ynXseRUVFw+qPx0pJXw3sq5SaAzQDZ2PKSNhorfdOfVdKPQS8qLV+wUoQMOC+vXE4HPh8\n", "voE22WMoKiqaFNcq17lnMVmuE8y1CoIgCGNPRsak8IqdNNcJk+da5TqFMVHStdYxK9vzK5g4gge0\n", "1huUUpdY6+8f7r5jIbcgCIIgCIIwtiilHsTUfG/XWh9kLZuCqXU/G6gDvq619oybkIIgCKPIWFnS\n", "0VovxhSxT1/Wp3LeO0NpX/sKgiAIgiAIeyQPAX8EHklbdh2wRGv9a6XUT6z/rxsP4QRBEEabsUoc\n", "JwiCIAiCIAiDorX+N+DutfgrwF+t738FzhxToQRBEMYQUdIFQRAEQRCEiU6V1rrN+t4GVI2nMIIg\n", "CKOJKOmCIAjCsFBKnaKU2qiU2my5nQqCIIwZVrleKdErCMIey5jFpAuCIAi7P0qpDOAu4ARMicxV\n", "SqkXJKGnIAijTJtSaprWulUpNR1oH8pOk6XCxmS5Tpg81yrXObkRJV0QBEEYDguBLVrrOgCl1BPA\n", "GYAo6YIgjCYvAOcDt1t/nx/KTpOh3OdkK2s6Ga5VrnPPY7iTEaKkC4IgCMOhBmhI+78ROHKcZBEE\n", "YQ9EKfU48AWgXCnVANwA3AY8pZS6CKsE2/hJKAiCMLqIki4IgiAMB4kDFQRhVNFaf7OfVSeMqSDC\n", "hEFrzY9+9CM8Hg+JRGLQ7R0Ox5COO5TtHA6HvZ3T6bT/T30GW5Y6xnD2zcrKIh6PD/mcfW0zHBnT\n", "/3c6nYN+UnIN9Ek/Vn/HzcvLo7u7m1gsRjQaJR6PE41Gh/x/LBbb6ftQ/k8mkyQSCZLJ5E7fe38G\n", "2q6//XrvU1BQgMvlGtI9mUKUdEEQhk08Hrc7XGHS0QTMTPt/JsaaLgiCIAgjTmNjI2eeeSZNTU2U\n", "lJQMun0yObS55KFsN5gClr5MmLhkZmaSlZVFZmYmGRkZO0xQDDTh4XQ6ycjIAHaeLOnvGH1NiOxK\n", "3L0o6YIgDIuenh5aW1txOBzU1NSQm5s73iIJY8tqYF+l1BygGTgb6M/qJQiCIAi7jMvlYtGiRTQ1\n", "NXHTTTdxww03TOgY5qEo8wMtA2zLq8/nG7YFd6BthiPPQJ/0/YayXX//JxIJcnJyiMfjtgKd+vT3\n", "f1ZWFhkZGX3+398+GRkZQ/asmEiIki4IwpBJJBK0t7fv8H3WrFnjLJUwlmitY0qpK4BXgAzgAcns\n", "LgiCIIw0fr+fr3/962itufzyy7n66qvHW6RBSXdxT1lgd4WioiLy8/NHSqwJy2RKHDdcREkXBGHI\n", "dHd3E48zGlqZAAAgAElEQVTHmTp1KpFIBJ/PRygUGjdreiQSIZFIiDV/jNFaLwYWj7ccgiAIwp5J\n", "NBrlvPPOY9WqVZx99tn88pe/3C2toYKwq0hAqSAIQ6anpweHw0FJSQnFxcX2svEgEAhQX19PQ0MD\n", "bre7321S7mLDIZFIEI1GR0JMQRAEQRCGQSKR4PLLL2fJkiWccMIJ3HPPPZIDR5h0iCVdEIQhEY/H\n", "CQaD5Ofnk5GRQV5eHk6nk0AgMC7ydHZ2kkwmcTqduFwuCgoKyM7Ottd3dHTg8XgAyMvLo6amZkiz\n", "8LFYjPr6euLxOOXl5ZSVlY3aNQiCIAiCsCM33HADTzzxBAsWLOCRRx4hKytrvEUShDFHpqUEQRgS\n", "fr8fwI6Rcjgc5ObmEg6HxzyraTgcJhwOU1RUxLRp00gmk3R2dtrru7u78Xg85OTkUFBQQDAYtBX2\n", "wXC5XHbZk66uLmKx2KhcgyAIgiAIO/KHP/yBP/zhD+y7774888wzFBYWjrdIgjAuiJIuCJOEzs5O\n", "amtr6e7u3qX9g8EgAAUFBUSjUTwejz27nVo3VqTOl5+fT0FBAQUFBfj9fnp6egiHw3R0dJCRkcH0\n", "6dOZNm0aGRkZuN3uQd3eE4kEPp+PnJwcKisrSSQSu9xegiAIgiAMnccee4xf/OIXVFdX8/zzzzN1\n", "6tTxFkkQxg1R0gVhEhAKhXC73cTjcTo7O3fJ8h0KhewyFg0NDbS2tlJXV0dPTw+hUGgUpO6fcDgM\n", "YCeMq6iowOl00tbWRl1dHV1dXeTm5pKZmYnT6aS4uJh4PG57A/SH3+8nmUxSWFhIUVERTqdTso4K\n", "giAIwijz8ssvc/nll1NaWspzzz3HzJkzx1skQRhXREkXhElAStHMy8sjHo8PO9lbPB4nEomQm5uL\n", "y+UiEong9XrxeDxs27aNrq6u0RC7X0KhEE6n045Bz8rKYtq0afj9fpqbm8nIyLC/J5NJO8ndYAp3\n", "ureA0+kkPz+fSCQiSeQEQRAEYZR49913Of/888nOzubpp59mv/32G2+RBGHckcRxgrAHk7Kgp+Kz\n", "Kysr2b59O4FAwFZch0JKec3KysLlchEIBJgyZQqZmZl0dXXR0tLCvvvuO1qXsQOpzOt5eXkEAgE8\n", "Hg/RaJRYLEZeXh6zZ88mPz+fzs5Ourq6SCaTzJgxg5ycHAKBAMlkst8EcsFgEKfTSU5ODmDc6Xt6\n", "evD7/ZSWlo7J9e1p1NbWjspxRzNOcbQmZUZzsme0Mh+nJ2McScba+2YkGK22AEYtAWeqLxOEicrG\n", "jRs566yziEQiPPbYYxx55JHjLZIgTAhESReECUAikcDlchEKhcjJyRmxWqCtra2Ew2FaWlrYZ599\n", "yM7OJisra9gDwpR7eXd3N/X19YRCIfbZZx/mzJlDW1sbXq8Xr9dLSUnJiMg9mCzJZJJYLMb27dtx\n", "u9329UybNo2ysjKam5tpaWmxrf2FhYUUFBTQ1dVFIBCgoKBgp+OmvAXS16W+d3Z22qXnBEEQBEH4\n", "9DQ2NrJo0SI8Hg/33nsvp5566niLJAgTBnF3F4QJQHt7Ox6PB7fbvUOW8k9DKBQiGo3S09NDa2sr\n", "27dvx+fzkZubSzweH5ZVLxKJANDW1kYgECAnJ4dYLEZRURGlpaW2xX4sCIVChMNh2traaGtro7i4\n", "mL333puamhoSiQRbt26lsbERr9drx6lv3LjRzkrfX1x6ylsgFecOkJmZSTgcZt26daxdu5ZNmzYN\n", "u+a6IAiCIAg74nK5OPPMM2lqauLmm2/mnHPOGW+RBGFCIUq6sEfR3d1NS0sLHR0du00ccSQSsTOK\n", "Z2dn4/V6R6TsV0oZjcVi9qe9vZ2MjAzgE+t4imQySVtbG/X19Ttlaw+Hw0QiEYLBINnZ2ZSXl5Ob\n", "m0skEqG0tJR4PD5mSnrqN/Z6vVRUVDBnzhz23ntv5s6dS3NzM6+++ip33XUXDz74oO3uXldXRyQS\n", "ITMzs18lPeV+m5eXZy9LJpM0NDTQ3d2N3++noaGBlpaWMblOQRAEQdgT8fv9nHXWWWzatIkrrriC\n", "73//++MtkiBMOERJF/YYXC4XbW1t9PT04PF4qK+vH7U4v6EwVItrKplZWVkZZWVlJJPJEckoHg6H\n", "iUajhMNhCgoKmDJlColEwlbAeyvpbreb7u5u2z0+VSs8FQOeWldaWkpVVRUOh4Oenh7KysrIzs6m\n", "u7t7REqxhcNhAoFAn5MskUiE+vp6PB4PFRUVzJo1y45N7urq4t133+VPf/oTK1asYOXKlVx//fXU\n", "19fT09PD1q1bKSgoIBaL9RkPGwwG7drvHo+H9vZ2Nm/eTCwWo6Kign333Zfs7GxaWlrGvOScIAiC\n", "IOwJRKNRzjvvPFavXs3ZZ5/NrbfeOmIhfoKwJyEx6cJuSzQapbm5mUQiQWFhIR6Ph+zsbKqrqwmF\n", "QrS3t9Pc3Mz06dMpKCggEonQ3d1NdnZ2n0nTIpEIPT09RCIRnE4nRUVFO1hVh0NHRwcdHR0UFhYy\n", "Y8aMAZM6BQIBHA6HHTftcDgIBAKUlZX1u09PTw8ul4vs7Gyqqqr6PH4kEiEcDtsKaWdnJ1OnTsXp\n", "dJJMJndQ0pPJJB6Ph4yMDEpLS3G5XHR1ddnu3pFIhIaGBtuFPOXuHggEqKysJC8vD5/PRyAQ2OU2\n", "i0ajtLS07CRXd3c3+fn5lJaW4vP58Hg8lJSUUFVVRVFREclkktbWVl566SXuvfdewuEw5513HuXl\n", "5dxxxx089thjXHbZZTQ0NDB79mzAzOKnu7Wn2iM3Nxe/309HR4dtOS8uLmbKlClkZWVRVlaGx+PB\n", "6/Xu8nUKgiAIwmQkkUhw2WWXsWTJEk488UTuueeeUUt6KQi7O6KkC7stbW1ttgv29u3bmTlzJtXV\n", "1WRlZZGVlUVmZqadQKyiogKXy2Vbh5PJpJ0ELKX49bauer1epkyZwtSpU4clV319PatWraKwsJBp\n", "06aRm5tLZWVln9vG43HC4TCZmZmsX7+evLw8HA4HwWCQRCLR58srHA7T2tpKMpkkEomQkZGx0/GT\n", "yaQdj75lyxZKS0uJxWJ0d3eTk5NDMBgkGo1SXV0NmImCeDxuW/O7u7vZunUrpaWlBAIBPv74Y+Lx\n", "OHl5eSSTSf7yl78AcNppp1FTU0NhYSGtra309PT02V6JRILOzk7a29uJx+NUVVURDocpKSmx3eUb\n", "GxvtOPesrCyi0Sjvvfce7e3tOBwO5syZQ3l5OZmZmUydOpXy8nIAmpubWbNmDTfccAPBYJBLL72U\n", "BQsWMHv2bDZu3MhLL73Exo0byc3NtSdEAoHADnIGg0GSySR5eXl2OblgMEggEKC6upqSkhLbtT/l\n", "cZCSJYXP58Pv91NSUiIKvCAIgiD04vrrr+fJJ5/k8MMP55FHHiErK2u8RRKECYso6cJuSTAYtOOj\n", "fT4f8Xic/Pz8HTr8vLw8qquraW5uRmtNbm4u1dXVdHd343K5bMUy3ZJdVFREbm4u0WiU9vZ2urq6\n", "yMrKGnK5smAwyIcffojP56OwsJBAIEB3d7ddrqyv7VOx4G1tbYBRaFNZyvtSeF0uF8lkkunTp9PV\n", "1dXn8SORiB1P7Xa7ycvLsxVzj8eDw+EgLy+PiooKKisr7bCAwsJCHA6HXXosLy+P7u5uWltbmTJl\n", "CrNnz+bmm29mzZo1ALz44ou88MILFBUV0drais/nIxaL7XStLS0tNDY20tPTY587IyODjo4OQqEQ\n", "iUSCWCxGeXm57UFQV1dHT0/PDrXK/X6/XRM9KysLt9vN2rVrueKKK/D5fFxyySUce+yxBAIBMjMz\n", "ufjii3nllVd46623mD9/PnV1dey1114Eg0Hi8bgdn59yX3c6nXb2+JKSErvkUsoFPjc3l4KCAgKB\n", "AD6fz5bV5/PR2toKGC+HGTNm7GCpFwRBEITJzJ133skf//hH5s2bx9NPP91nlRVBED5BfEyE3Ypo\n", "NIrL5WL79u10dnbS09NDUVERFRUVfcYwpxTRVJx6fn4+JSUlxGIx3nvvPZqamsjOzmbOnDlMnz6d\n", "wsJCMjMzbQU/lUU8ZYEfjLa2NlpaWmhpaaG1tZVEImG70fdFOBwmHA6jtaauro76+nrWr1/Ppk2b\n", "qK2t3SnJWTAYtBXVUChEZmam7RKeTiQSwe/309zcjMPhoKCggC1bttDV1UV9fT0ulwuHw0F7ezux\n", "WMyuD56uWGZlZeF0Om3Lcm5uLo8//jhr1qzh2GOP5ZhjjmHdunU89NBDlJSUkJWVRU9Pz055AFKu\n", "+eFwmGnTpjFnzhyKiopsN/mmpiYaGxspLCy0ld7m5mb+9a9/0dbWxvz585k5cyZbt25ly5Yt5OTk\n", "MG3aNBKJBKtWreLSSy/F4/FwwQUXsGDBAoLBINOmTcPtdlNZWcnChQupr6+nubnZtsrDjlneU/Ho\n", "qd85Ho+TSCQoKysjkUjQ0tLC+vXr2bJlCwUFBYTDYTtvQDKZpLOzE6fTSUVFhX0fSBZ4QRAEQYBH\n", "H32U66+/npqaGp577rlheygKwmRELOnCbkMoFKKpqclWmgCmT59ORUUFXq+Xrq4ugsHgTq7GoVCI\n", "8vJyQqEQmzZtYu7cudTV1dHV1cXMmTPt5Gq9rb+dnZ24XC5cLhdOp5O99957wOQmiUSCpqYmGhoa\n", "yMvLo7W11c7Y7vf7KS0t3WmfcDhsy/LSSy+xYsUKZs+ezXe/+12CwSBtbW3MmjXLls3lchGLxYhG\n", "o0SjUWKxmB1LPWXKFPu4kUiErq4uXC4XPp+PP/3pTzgcDs477zxmzZplu9GHQiG6urrs5HIp/H4/\n", "lZWVhEIh/H4/1dXVeL1enn32WWbMmMFdd93Fxx9/zMqVK/nLX/7CBRdcQG5urp08Lt3zwOv12iXm\n", "Uu7s06ZNw+v1UlZWRm1tLYlEwv7dvF4vH3/8MS6XC7/fz5///Gd7AiUUCnHQQQeRkZHB0qVLufji\n", "i/F4PHznO9/hoIMOIpFIMGvWLCoqKti6dSter5cvf/nLLF++nA8++IC9997btpoHAgGKi4tJJpOE\n", "QiFyc3MJhUJ2YjmPx8PGjRt58MEHcbvdHHXUURxxxBGEQiFbUU8l54vFYpSVldlhBW63G7fbvcNv\n", "IgiCMFlQSh0H1Gmta5VS04HbgTjwU6116/hKJ4wlixcv5oorrqC0tJTnnnuOmTNnjrdIgrBbIEq6\n", "sFuQcglPJpOUlZURjUYpLi5mxowZRCIRPB4Pra2tRCIRDjjgAHJycgBjeXe73UQiEbKzs+ns7KSz\n", "sxO3201GRgbz5s2z3blrampsS3IgEKChoYFwOExjYyMNDQ2cfPLJzJs3r98kJ8FgkLq6OoLBIIcc\n", "cghNTU1s376dWbNm9RtjnlLEV69ezYoVKwDYvn07S5cuZf78+cTjcVs2n89nu2nn5OQQiURob2+3\n", "XcLT3cyj0ShNTU243W6eeeYZu875gw8+yG233UZmZiZer5fCwkJcLheZmZn2tQeDQWKxGFOnTsXl\n", "clFcXMz06dO56aabiEQiXH311SQSCXJzczniiCNYunQpWmt7MiLdQh2NRvF6vTQ2NpKZmUlnZydN\n", "TU12PLrP57Otz6nJkPr6ehoaGti+fTuPPvqoXY5u//3358QTT8Tr9bJq1SrOPfdcPB4PV111FQsX\n", "LiSRSFBcXExhYSGVlZW0trbi9/tZsGABVVVVrFq1ipNOOomWlhZmzJiB3+8nmUwSCARIJpO2S7vX\n", "66Wnp4fm5mZuuukmAoEAGRkZvPDCC7ZnRjwep7CwkJ6eHjvRXWpiYsqUKfh8PtxuN0VFRZ/yzhcE\n", "QdgtuQc4yfr+OyAJxIA/AV8ZL6GEseXdd9/lggsuIDs7m6effpr58+ePt0iCsNswZu7uSqlTlFIb\n", "lVKblVI/6WP9GUqpD5VS7yul1lizsKl1dUqptda6lWMlszBxSGVdT7lVO51O4vE4Ho+HtrY2srKy\n", "KCoqoru7m6amJjvOuba2lqamJrKysuz46+bmZjweD5WVlbbrdDKZpKWlxVYIU7Wx8/LyyMzMpK2t\n", "jY8++mgnt/J0Upb+zMxMotEooVCIQCCA2+22lcF0YrEYLpcLr9fL6tWrcTqd/Pa3vyUnJ4e3336b\n", "np4esrOzCQaDNDQ00NHRQTKZJDMz03ZPTymTvV3jw+Ew9fX1fPjhh0QiEW655RbOPvtsvF4vr7/+\n", "OoWFhXaMus/nIxqN2pbsQCBAIpEgOzubcDjM1KlTqa2tZdmyZcyePZtDDz0Ul8tFZWUlRx99NABP\n", "PvmkXd4sHo/bSfh6enpob28nEAgQCoUoLi7G4/Gwbt06tmzZgs/no6amhtmzZ5NMJlm7di1btmwh\n", "FArxj3/8g2QyyZlnnsnBBx/M+vXrefDBB7njjjs444wz6Orq4vLLL+eYY46hqakJr9drx9w3NzcT\n", "Doft3+vEE08kEomwdu1aXC4XYDwfuru7bbf1zMxMEokEXV1dOJ1OHnjgAQKBAMcddxzXXXcdBQUF\n", "vPjii7S3t5OdnU1zczMdHR12RvtU/LrT6aS8vJxEImHHqQuCIEwyqrXW9UqpLOBk4BLgUuDo8RVL\n", "GCs2bNjAWWedRSQS4a9//StHHnnkeIskCLsVY6KkK6UygLuAU4D9gW8qpfbrtdlrWutDtNaHAhdg\n", "ZltTJIEvaq0P1VovHAuZhYmF2+3G4XBQVlaG3++3E741NTVRW1tLfn4+1dXVxGIxNm7cyDvvvMPq\n", "1atpaGggNzeXOXPmUFNTY8c85+TkkJmZSSAQoKCggKlTpxKLxWzFq6mpiWQySVFREdXV1RQXF1Nf\n", "X2+72fdFe3s7brebLVu2cMkll/DLX/6SDRs20NXVZWehTyccDuNyuex46UMOOYSSkhKUUvj9flau\n", "XElBQQGFhYW2tTaVcM3hcNDZ2UlVVRU5OTls2rRphwmE9vZ2XC4XmzZtorq6mvPPP58LL7yQ3Nxc\n", "Xn75ZXJyckgkEni9XkKhkO0y39LSwooVK6itrbWz52dnZ/PQQw+RSCS44YYbiEQiuN1uYrEYCxcu\n", "pLCwkFdeeYWioiIyMzPp6emxJwyCwaBdVs3v97Nt2zYOOOAAcnNz8fl85OTkUFxcTH5+Pvn5+Tgc\n", "DrKzs9mwYQMej4dTTz2VE088kWuuuYZvfetb9PT0sGTJEsLhMFdeeSVf/vKX6erqori4mJkzZ1JW\n", "VkZ1dTVTpkyhqqoKv9+P2+3m+OOPx+l0smrVKrxeL/F4HKfTSWdnpy1HPB63J1S01rz//vt85jOf\n", "4ZBDDmHatGmce+65BAIBXn/9dXsSora2dif3foCioiJKSkr6rMcuCIIwCehWSk0DjgU+1lr7AAcg\n", "6bwnAQ0NDSxatAiPx8Pdd9/NKaecMt4iCcJux1i5uy8Etmit6wCUUk8AZwAbUhtordMzZBUCnb2O\n", "0X8wsLBHk7JKFxQUkJmZSUtLC8lkkvLyctavX8/27duJRqNkZWXZlstEIkFRURGzZ89m//33t125\n", "o9EoTqeT7OxsMjIybJfnsrIyW0lLZT9PLUu5q2utqa2tZd999+0zU3tTUxMej4c333yT4uJiAoEA\n", "b731Fp/97Gdt1/J0QqEQHR0dbN26FYBDDjmE3NxcFixYwNq1a1m+fDmdnZ3Mnz+fWCyGw+Ggrq7O\n", "tlZ3dHRQXl5OSUkJHR0drFu3jhkzZhCPx6mvr2fTpk1Eo1G+8pWvUFpaSmlpKZ/73Od44403ePvt\n", "t21Xf6fTSUFBAR6Ph61bt+LxeMjMzLTDB5qbm1m+fDkHHXQQp5xyCmvWrCGRSOB2uwmHw8yfP5/V\n", "q1fT1dVFTk4Ofr+f7u5uysrK8Pl8tLe3s3TpUpYsWQLA1KlTue666ygqKqKrq4uOjg4yMzPx+/2U\n", "lZVRWFjI66+/jtPp5PTTTycvL49AIMDnP/95DjjgABobG5k7dy4LFy6kp6eH0tJSpkyZQnFxMVlZ\n", "WcycOdOu975582Y7gdyhhx7KmjVrqK+vRynF7Nmz7Wzz5eXldHR00NXVRX5+Pk899RQAZ555JmAS\n", "yS1atIjHH3+c1atX87WvfY2ZM2faiQcPPPDAne6HysrKPvMQCIIgTAL+CKwEcoCrrWVHkzbuE/ZM\n", "XC4XixYtorm5mVtvvZVvfetb4y2SIOyWjJW7ew3QkPZ/o7VsB5RSZyqlNgCLgavSViWB15RSq5VS\n", "/zWqkgojitfrZevWrZ/K7TeVGT2VrMvj8VBYWGi7u//73//m7rvvZunSpZSXlzNv3jyOOuoo9tpr\n", "L8rKyuw48I6ODu6++24efvhhamtrAWPNTlk7y8vLmTVrFiUlJZSXl5OdnU0kEuHuu+/m5ptvZuPG\n", "jaxfv952j04nFArR0tLC1q1biUQiXHnllZx77rkEg0GWL19OKBQiEonY7vQpebq7u2lsbARgn332\n", "Yd68eRx77LEUFhaybt06mpqaAOwY8pQbeso1PxaLkZ+fTzgcZsuWLfj9foLBIPX19WzevBmAc889\n", "l0QiAZi65hkZGTzzzDN2mTW/328n4wsGg5SXl1NVVWUnzfvtb38LwE9/+lO2bdtml2ZLtf/cuXMB\n", "WLlyJRkZGXY5tdraWtavX8/GjRt57bXXKC0t5ZJLLsHtdvPLX/7Sdrfftm0bnZ2dZGRkUFBQwMqV\n", "K2lsbOSwww6jvLyc6upqO/dAWVkZhx9+OPvvvz/Tp0+3Lf0pS3Zubq5dVi0jIwOlFPF4HL/fz/HH\n", "Hw+YGLlUxvoZM2Ywa9Ys8vLyaGtrsycf1qxZw6GHHkpVVZVdDz07O5uzzz4bv9/PsmXLSCQSZGRk\n", "2CEHfVUXSLnAC4IgTCa01rcDJwJHa60ftxY3AhePn1TCaOP3+znrrLPYtGkTV155JVddddXgOwmC\n", "0CdjpaQPqRaR1vp5rfV+wJeBv6WtOtpygz8VuFwpdcwoyCiMMJFIhI6ODhKJhJ1Ia1dI1TEvKCig\n", "vb2dZDJJfn4+r732GpdddhlPPvkkr7/+Or/+9a956aWXKC0tpaamhhkzZhCLxWyF9ZxzzuHPf/4z\n", "K1eu5Pbbb+ejjz7awTUbjBu8w+EgFArh9Xp56KGHePrpp2lqauKVV15h69atbN++fScZ3W43LpfL\n", "Vrj3228/vvCFLwDw0Ucf2Qnf0uPS29vb8Xq91NfXM336dKZNm0ZBQQHTp09n9uzZRCIR3nnnHWKx\n", "GMlkEq/XS0ZGhh13nUwmqampsa3IXV1drF+/nra2NjZv3kxbWxsHHHAABx98sF22ba+99uKzn/0s\n", "jY2NaK0JhUK263pnZyc5OTlMnz6d7Oxs2tvbueeee9i+fTunnnoqRxxxBO3t7UQiEaZPn05JSQlt\n", "bW12crSlS5faCftyc3Nxu910dHSwYsUKkskkl112Gddffz233347Ho+Hhx9+mMLCQnJycpg6dSo1\n", "NTVEo1GeffZZwMSRZ2Zmsvfee5OXl0d+fj6VlZVMmzaNoqIiNmzYgMPhYOrUqcTjcTIzM8nPz9/h\n", "d6mpqaGoqIhIJMLChQspKytj5cqVdHR04PP5bPd6r9eLz+cjOzubF198EYATTjjBjsnPyMggEolw\n", "2WWX2dfa1NRERUUFZWVltLS0UFdXx5YtW3b5PhcEQdjD2AJUKaXOUkodDWzVWn803kIJo0M0GuXb\n", "3/42q1ev5hvf+Aa33HLLeIskCLs1Y+Xu3gSk11yYiZlR7ROt9b+VUplKqalaa5fWusVa3qGUeg7j\n", "Pv/vgU44mbIqT9RrbWtro6CggGnTptHR0UEsFqOwsHDAMmZ9kZmZSVZWlu2+XFBQwObNm/nhD39I\n", "NBrlvPPOY968edxzzz08/PDDdHZ28utf/5r99tuPyspK3G43P/3pT1mxYgVKKY477jjuv/9+7r//\n", "fu677z7gkzaMxWJkZWXZSvWLL75IYWEhxxxzDIsXL2blypWcfPLJHHPMjvNEKeWsubmZuXPnUlFR\n", "YU8UNDc32zH1GRkZFBUVEY/H6enpoaGhgWg0ysEHH0xeXh7hcJgZM2Ywd+5cu8RZSq7c3FyKiorY\n", "tm0b8XiclStX8sQTT3Dqqady8MEH88Ybb/D+++/b+yaTSS666CKKiorw+XwUFhay1157cdZZZ7F0\n", "6VJeffVVTj31VILBID6fj1gsRlVVFW+++SbPPvss7733HgBKKa699lrC4TDBYJC99tqL/fbbjy1b\n", "tpCfn09xcTHl5eUsX76cqqoqOjo6mDlzJrm5ubzzzjt2iMAZZ5xBJBLhmmuuYfHixbzxxhssW7aM\n", "c889l5qaGrq7u3G5XCxfvpxZs2Zx8MEHU1paypw5c+jo6KCwsJCamhoyMjJoaWnB5/Oxzz77UFpa\n", "SiQS2WGCIUVBQQFKKbTWJBIJTjjhBJ5++mneeecdlFKUlZXZExx5eXlkZWWxePFiqqqqmDFjBqFQ\n", "CIfDQWFhIYlEgvnz53P00UezbNky29qfin33+Xy2+3x+fj6lpaW4XK4J+3wKgiCMFkqpg4HngVzM\n", "eG8GEFJK/afW+oNxFU4YcRKJBN/73vd47bXXOOmkk7j77rv7rYQjCMLQGCslfTWwr1JqDtAMnA18\n", "M30DpdRcoFZrnVRKHQagtXYppfKBDK21TylVgCnpcdNgJ+zLJXlPJKWATTSSySStra04HA4cDgdO\n", "p5Pa2lo6OjqYPn26ncBtMFIZumfMmMHGjRtZt24dHR0d/OY3vyEcDvO9732PCy+8kLlz5zJz5kx+\n", "/vOf889//hO3280999zD7Nmzeeqpp/j73//OrFmz+NGPfkROTg4rV65kzZo1vPfee7bym5OTg9fr\n", "paWlBbfbzUcffWS7SZ9wwgm8++67bNu2jVWrVnHKKafY2dCTySTbtm3j448/JpFIcNBBB5GTk8OU\n", "KVNYsGABjY2NLF26lDlz5pCdnU1BQQEul4uOjg62bNkCwNy5c/H7/RQVFVFYWMhBBx3E4sWLWbVq\n", "FRs3biQvL8+2+jY1NfHCCy/w8ssvA/D6669z7bXXUllZSX19Pdu2baO2tpbMzEwWLVpEd3c37e3t\n", "ZBiijS8AACAASURBVGVlkZeXx8yZM+347EMOOYS8vDxWrVpFR0cHL774Ih0dHQAccMABzJs3j8MO\n", "Owyfz2d7AZSUlBAMBolEIlRUVNDW1sbMmTN5//33WbduHUVFRWzevJlAIMC//vUvkskkp59+Ovn5\n", "+bjdbnJzc7n//vs54IAD+OMf/8jxxx9vr3vggQdIJBJ84QtfIJFIkJOTY7uSl5aW2h4OW7dupbCw\n", "kLy8PPx+vx2ykKpdnk5paald/m3BggU8/fTTLFu2jAULFuD3+2lsbMTv9+NwOHj55ZcJBAKcdtpp\n", "+Hw+iouL7WR9DQ0N1NbWcv7557Ns2TLeffddPv/5zzN16lS7PF4wGGTdunW0tLRQWlpKTk4OVVVV\n", "n/6BEgRB2L14CLgb+J01rnNiYtMfABaMq2TCiJJMJvn5z3/OU089xRFHHMFf//pXsrIkP6AgfFrG\n", "ZJpLax0DrgBeAdYDT2qtNyilLlFKXWJt9lXgI6XU+8CdwDes5dOAfyulPgDeBf6ptX51LOQWdp1Q\n", "KEQ8HretiMlkku7ubnp6eujs7Bxy1utURnSv18tHH33Etm3b+Nvf/kZnZyeLFi3iS1/6EnPmzCEU\n", "CjFnzhyuvfZa5s+fz7Jlyzj99NM588wzueaaaygpKeEHP/gBU6dOpaqqigULzBjhrbfewu/323Hv\n", "qYzxOTk5rFq1CoDPfe5zzJs3j6OPPpp4PM6qVauoq6uzZezu7sbj8dhu8PPmzSOZTBKLxTjttNMA\n", "+PDDD4nFYrYS2dbWhs/no7GxEafTycyZM2137sLCQhYsWEB1dTWBQIB//vOfJBIJKioqcLvdbN26\n", "lSVLljB9+nSWLFlCeXk5d955JyUlJey99960tLTg9Xo56aSTmDp1Kh6Ph0QiQUFBAVOmTMHpdPLV\n", "r34VgGXLllFcXMzy5ct56KGHcLlcfOlLX+LRRx/l1ltv5bDDDsPhcBCLxfD5fBQUFFBTU0NnZydO\n", "p5ODDjqIvLw8ZsyYAcDbb79NTk4ODQ0NNDY2snr1anJzczn++OMpLS2lo6ODjz/+mPz8fM455xw8\n", "Hg+33XYbHR0dtLe3849//OP/s3fv8XHVdeL/X2fu98wlk8nk2vvpjVIuAoICclGWwsK6wipy7SIo\n", "K4rKossCCvhFfggLXtCFpd1dEZWi4griDaGgxYIVKKBwSkvut0lmMvf7zPn9kZxj0qZtIA3TJp/n\n", "45FHp5Ock/eZpE3e5/P+vN94vV6OOeYYJEnSt0y43W79tbFarfpNkGQyST6fx2Kx7NGYT+N0Olm8\n", "eDFer5e2tjbWrl1Ld3c3iUSCYrGoz3Z3Op088sgjmEwmjjjiCOx2O6FQiNbWVpYtW0apVGLXrl2c\n", "ffbZBINB/vjHP5JIJPTkXNuOYDAYGB4e5vXXXz8ob6AJgiC8C5YC9yiKogIoilIFvjn+vDCHfOMb\n", "3+Dee+9FlmU2bdqE0+msdUiCMCe8a7UoiqL8UlEUWVGUJYqifG38ufsURblv/PEdiqKsHh+z9n5F\n", "Uf40/vxbiqKsHX9brR0rHNy0VdeJs7eNRqO+ZziRSEzrPFpjt/7+foaGhti5cyevvfYaq1ev5pOf\n", "/CSLFy/GarXqZcVHHnkkN954I+vWraO/v5/NmzezdOlS7r33XhwOB8PDw0SjUcLhMB6Ph2eeeYZU\n", "KkUqlUJVVSKRCJlMBpfLxdatWwkGgyxevJilS5dy+umnA9DZ2cm2bdv0ZmwjIyPE43E6OztxOp2s\n", "WbMGn8/HyMgIJ510EjabjY6ODn0MWSaTob+/n8HBQQYGBli0aBEGgwGv16s3QFu6dCmrVq0CYOvW\n", "rTQ2NmK324nFYjz22GNUKhW+9KUvsXLlSr71rW9RLBa5++67WbJkCW+88QYAF198Md3d3bz66qso\n", "iqLvY3c4HBx++OGcfPLJKIrC7bffzrPPPovL5eKjH/0oq1at0pu61dfXs3LlSiRJolAoEAwGKZVK\n", "ZDIZHA4HbW1tBINBwuEwJpOJp59+mqamJhKJBI899hjJZJKVK1eiKAqbN2+mp6dHbyR47rnnsmTJ\n", "En71q1/x7W9/m69+9avkcjnOOOMMfcybzWbD6XTS1tZGIBDQX6fm5mYMBgPRaJRCoYDBYNhjDJrG\n", "5XJhsVjwer3YbDb9xslLL71EKBTCYDBgNBp56qmn6Ozs5Nhjj8Xj8eir6A6Hg/b2dlwuFwMDA1Qq\n", "Fc466ywKhQKbN29mcHCQfD5PPB7XbxqUSiXS6bTYny4Iwnz1BGNTfCY6e/x5YY546KGHuOmmm2hu\n", "bubRRx8lEAjUOiRBmDPEhhHhgMrlcnqHcUmS9H3WxWKRQCCA1WrFYDCQTqdR1f33E8zlcgwNDRGJ\n", "RMjlcjz66KM4HA5uueUW8vk82WyWeDxOsVjE4/GwcOFCQqEQn/jEJ3jooYd4/PHH+d3vfofD4SCX\n", "y+F0OnE6nZjNZlauXEkymeSNN94gmUzS1dVFf3+/Pi88l8uxYsUKfc/14YcfTnNzM5FIhNdee42R\n", "kRHK5TKxWIxXX32VQqHAsmXLWLVqFQ0NDaiqSqVSYeXKlWSzWV566SWy2SwjIyPEYjE6OjpQVZUV\n", "K1ZgMplobm7W9+vX19ezdu1ajEYjr7zyCqqqkk6n2bVrF1u3bqWpqYnjjz+ewcFBVqxYwcc//nF2\n", "7tzJ1Vdfzeuvv86SJUs44ogj9BFo2p7poaEhAoEApVKJm2++mfPOO49wOMxhhx3GlVdeyYknnkgw\n", "GNS3GSxatIhjjjlGTzq15n0Gg4GGhga9fF5r8PbWW29RKBQwmUz6fvrFixdTKpWoVCo0NDTofQLq\n", "6uq4+OKLcbvdbNy4kc2bN7Nq1SqOP/54stksHo+HRYsW0dTUhNlsJhAI4PP58Hq9LFu2jPr6emBs\n", "pdzr9e61k7rRaMRms+FyuVBVlTVr1uByufj9739PPp9HVVXsdju/+c1Ygc6ZZ56pN6FzOp04HA4M\n", "BgOLFi2iVCrR1dXF+eefj81m45FHHqG7u5u//vWvfOtb3+LCCy/kn//5n/niF7/IK6+8Ikr+BEGY\n", "r0zAj2RZfk6W5U2yLP8ReBgwyrL84Pjb92ocozADv/zlL/n0pz+Nz+fj0Ucf1SvqBEE4MN6tPenC\n", "PBCPxxkeHkZVVaLRKK2trXpCDmPzsbUV9VKpRC6X26Mb90SVSoVkMsno6CgOh4MHHniAfD7PDTfc\n", "gN1u1zuNv/baazQ3N7Nw4UIMBgOBQACLxUIqlSKTyfDMM88wODhIqVTCZrNhMpkwGAz6D5Tnn3+e\n", "o48+Wu/w3d7ezg9/ODYxZuXKlbhcLsxmM/X19Zxwwgls2rSJl156iZ07d9LS0kI0GuW1114D4Ljj\n", "jtO7tJvNZgqFAieeeCIvvvgiL7zwAscddxxdXV2MjIzoneDb29txOp0Eg0H92m02GwsXLiQcDtPb\n", "28vWrVtZvHgxDz74INVqlfPPPx+TyURdXR2JRIKrrrqKbdu2oSgKDoeDq666Si/Dd7vdehl2uVzG\n", "YrFQV1eH3W7njjvu4JVXXqGjowMAg8GALMvEYjFSqZQ+o16SJDweD5VKBUmSaGho0BPQZcuWsXnz\n", "Ztrb29mxYwc//vGPkWWZjo4OvF4vq1at4uSTT9bHtsViMarVKgaDgcbGRq655hq2b99OIBDgfe97\n", "HwMDA9jtdmRZ1ufba7TEXHusjT3b2yq6xul0ksvliMVi5HI5Tj/9dB599FGeeuopTjjhBHp7e/nj\n", "H/+oz08vFApYrVY9uQdoampi586dRCIR2trauOCCC9i4cSPXX389qVSKYrGo90bYsmULGzZs4Mkn\n", "n2TdunX7jE0QBGEOem38TfNXxrY8anfnJaY5+Uc4+Gzbto1LLrkEi8XCpk2bWL58ea1DEoQ5RyTp\n", "wgFRqVSIRqP6nOxMJqOXvKdSKT151sapAftN0nO5HAMDA5RKJX7729+yY8cO3vOe93DOOecwODiI\n", "3+/XV3jz+TyRSIRwOIzT6aRareLxeNi+fTvpdFovd66rq6OlpYXu7m7sdjsej4dnn32W6667jlQq\n", "RX19PeFwmCeffBK73c6yZcv0jvT19fWceOKJbNq0ia6uLjo6OjAYDEQiEXbt2oXRaOSUU07R92O5\n", "3W5isRjvf//7ueeee9ixY4deETA6OkpnZyc2m41wOIzf75+0p9poNNLa2sry5cvp7e3lm9/8Jh/7\n", "2MfYsmULTU1NrFu3jkAgoDeUkySJe+65h6eeegqv10swGKSnpwej0YjH46GxsVGf024ymfS96alU\n", "CrPZTCgUoq+vj4GBAVavXk0oFGJgYIBQKERHRwcWi0Xfp22z2SatWjc3N+P1emlvb8dsNvP973+f\n", "VatWUalUOO6441izZg1Lly5FkiT9dc9ms6TTaT3R/8hHPoLNZqOvr49SqURLSwuNjY37/J6z2+36\n", "dor9cTqdjIyM4HK5KBQKrFu3jl/84hf893//Nx/84AfZsGEDqqpywQUX6J30tdfOZDLpX89AIEAy\n", "mSSTyXD++eeTSqV49NFHcTqdXHHFFZx88snk83nOO+88nnjiCTZv3jyt+ARBEOYSRVG+UusYhNmR\n", "SCRYv349hUKBhx9+mGOPPbbWIQnCnCSSdOGASKVSenOzarVKb2+vvnJZKpXweDx64qOqKgaDgUwm\n", "s8/9S1qTua6uLv73f/8Xj8fDtddei9vtpq+vD5fLpR/vcrn0Tt1Wq5VYLIYkSaxZswaPx0N3dzel\n", "UoklS5YQCARYs2YNL774IkuWLOHFF19k165dLFy4EL/fTyQSobu7m6OPPhqHw6EnzzabjRUrVtDc\n", "3Ex/fz+xWIxFixYxNDTE6OgoixcvZtmyZXr8WpIeCoUIhUL09/eTz+fJZDJ6hcARRxyB0WiksbFx\n", "j3ElixYt4ogjjmDbtm08++yzPPfcc6iqqpeoazPgYWwFvKmpSd9PXldXp5d5h0Ih/H4/AwMDVKtV\n", "fRTexAqHUqmE2+0mk8kwMDDAggULWLFiBWazWa8u2FuXcpPJRFtbG9FolJNPPpnf/va3DA4O4vV6\n", "Ofvss/H7/XpS39DQwODgIOVymXQ6jdVqxWQyUSgUGB4eJhaL4fF49EZ6B4rFYsFqteJyuUgmk1it\n", "Vs477zweeughPvShD1GpVDj88MNZuHAh1WoVk8mE3W6fdOPEZrPh8XjI5XKUy2WMRiOXXXYZ5513\n", "Hk1NTSxatIi//OUv+h71Cy+8kFtuueWAXcOharZK/rUqitkQDodn5by7du2alfPC7L4es0G7+TUb\n", "KpXKrJxXa2Q6G6xW66ydu1ZkWf4gY02AGxRFOUuW5aMBj6IoT9U4NGEGvvCFL9DZ2cm1117LGWec\n", "UetwBGHOEnvShQMilUohSRJut5tSqUQwGMRisegzvScmuqVSCbPZTLFY1JuvTaW7u5uBgQE2bNhA\n", "pVLh0ksvZcGCBezYsYN4PI7RaNRHXLndbtxutz6iK5vNUiwWaW1txWKxkMlksNls1NXVAWOly42N\n", "jSxYsACAX/ziFzgcDtxuN08//TQAq1ev1vewA0iSRCAQ4Pjjj0dVVf70pz/hdrvZvn07AIcffvik\n", "1V+LxYLZbKZcLrN27VrK5TKdnZ1YLJZJneC1RHp3Ho+HtrY2jjvuOLxeLwBnnXUWxx9/PG63m9HR\n", "USwWC263m2q1qjd3SyQSNDY20tbWhtfrxe/343Q6MRgM+utttVoJBAL6+wKBAAsXLmT58uVIkqSP\n", "bEun09TV1e03aVm5ciVGo5Hjjz+e97znPbS1tXH11VcTDocnJbput1tf2bdarXi9Xo488kg9IXc6\n", "nTQ2Nk5K7A8UbduCzWajXC7zkY98hPPOOw+Px8Mpp5zCRRddxPDwsL4lwOVyTbpRIEkSfr9f/5pm\n", "MhmMRiMtLS3IsqzPcbdarVSrVdHZXRCEeUuW5auB7wJvAieOP50HvlqzoIQZ+9GPfsSmTZs4+uij\n", "+bd/+7dahyMIc5pYSRdmrFwuk8/ncTqdGI1G8vk8drsdv9/Pyy+/TCaT0ZM8m81GJpMBxsayac3c\n", "dlepVFAUhccff5zh4WFOP/10TjvtNMrlsj5/3e124/f7AYjFYrhcLrxeL9lsFpPJRLlc1ruEa43r\n", "tNUbrQFZa2urnpjffPPNhEIhHn/8cYxGIytXrsRut+vJajQapVKpcMYZZ/DII4+wdetWOjs72bJl\n", "C0ajkQ984AN6+XU6nSYSiTA6Okq5XOa9730vv/71r3n++ec57bTT+Mtf/oIkSSxatEhvwLY7u93O\n", "kiVLWLJkiV6m39bWxrJly4jH4/rqudlsxmKx0N/fz+joqL7nf2LDNBhLgMvlMuVymWw2S0tLC9Vq\n", "VU/2tX3gsViMQqFALBYDwO/373dVu7m5mebmZrLZLBdeeCEej4fm5mbS6bR+g0ETDAb1r5ckSfqo\n", "vlAoRC6X0zuqH2hut5toNIrT6cRms5HP57nyyiu544479BnosVhMn2WvzWGfqL6+ns7OTkqlEpIk\n", "0dfXxzHHHIPVaqVcLjM0NER/f7/eB6Czs5MjjzzygF+LIAjCQe5zwKmKonTIsnzd+HOvAzPevCzL\n", "8r8BFwJV4FXgMkVRCjM9r7Bvb731Fl/4whdwu91s2LBBNEYVhFkmVtKFGdP2njscDqrVKsViEZvN\n", "htVq1cvcI5EIXV1dekm39ufe5qW/+eabvPDCC7z88ssEg0GuuuoqfdW3vr6eww47jIULFxIIBPQk\n", "VFst9/v9eqf04eFhent7MRqNk1arDQYDoVCISqXCe9/7XiKRCL29vXR0dPDSSy/pHcCdTieSJDE0\n", "NESxWCSXyxEOh1m9ejWDg4Ncf/31RKNRli9frs9eLxaLDA0NUa1WsVqtxONx1q5di8fj4c9//jO5\n", "XI6uri6WL1+udzvfvUEajK3cLl68mPb2dhwOB6qqsnTpUn0l2GQyMTQ0RG9vr95J3ufz0d7ejs1m\n", "Q5KkSc3otNX0SqVCLpfT/5zYZV+bKb5gwQICgQAtLS3TGqmizWhvbm5m7dq1rF27FpPJhNFo3GN+\n", "uXZzQdsOoG0XUFUVt9uNw+GY9l7zt8NsNmO32/Xqg3w+z+joKNFolHg8DqCXrQcCgSlvHrlcLjwe\n", "j94LQavYSCQSdHZ20tvbi8/nIxwOY7fbKZfLB/w6BEEQDgEuoGe35yzAjJJpWZYXAJ8AjlQU5TDA\n", "yFhJvTCLSqUSl19+OalUirvuuouFCxfWOiRBmPNEki5MqVqtUihM72eptk/P4XDoSbfVaiWZTFIq\n", "lfB6vXoZvLYaraoqkiRNucdvcHCQZ599lieeeIJqtcpFF12Ey+XS9xNr5dLaXVxtX7O2Qg9jpeaB\n", "QIBisUg+nyccDu9RPh0KhTAajRx22GEAbNiwge985zsAnHjiifoYrnw+T7Vaxe/36wnyFVdcgdVq\n", "pbOzE4fDwYc+9CEWLVqEqqp6gh4Oh2lra8NisZBOpznzzDPJZrPcfvvtwNior2AwqN/QmEpjYyNH\n", "HXUULS0t2Gw2stmsPk5Nu7Z8Pq93TF+wYAHHHHOMnmBPTP61Gw5aUq6NyoOxGwJGo1F/jRwOB36/\n", "f9rJstFopK6uDp/PR2NjIw0NDeRyOaxW65TnsFqtesO5Uqmk3+gpFov63vHZoM1M175ncrmcPkPe\n", "ZDIRCAT0LRFTJemSJNHa2kq1WtVHtGlj7tLpNEajkTVr1rBy5UoWLFhAQ0PDrFyHIAjCQe73wJd2\n", "e+5q4OkZnjcJlACHLMsmwAH0zfCcwn587WtfY9u2bZx//vl89KPinoggvBtEubuwBy3pqFar2O12\n", "mpqa9mhqNpFWXq4lozC2arlr1y6y2Sx+v19vKheJREilUvrHa3OqtY7vyWSSgYEBnnvuOYaHh1m0\n", "aBErVqzQV4rL5bKe9E/kcrmIx+Pk83k9MfX5fKiqSrlcnjJZCoVCmEwmGhsbWbVqlT52ra2tjTVr\n", "1iBJkl4WbTAY8Pv9qKrKwMAAhx12GF/+8pd55plnaGpqYs2aNTgcDqLRKPl8nrq6ukld3iORCB/7\n", "2Mf4y1/+wquvvsq5557LUUcdhaqqeDwe/fqnsmbNGtLpNK+//jrlcpne3l4aGxux2+16wzmtu32p\n", "VNIT0d0ZDAYcDofe5V1bBdYa+U21mv92aI3nPB6PXlERCoX2em12u53DDjsMi8XC4OAgqVQKn8+H\n", "0+mctaZSWsm7zWajvr6eoaEhhoaGsNvttLS06NsnJEnaa8l9MBikpaWFbDZLU1MTRqNRvyFks9lo\n", "amrC5/PR19c3J5tBCYIgTMPVwGOyLH8CcMmyvANIAWfN5KSKosRkWb4L6AZywK8VRXlyxtEKe/WH\n", "P/yBu+66iwULFvAf//EftQ5HEOYNkaQLABQKBb0ZViKRwGg0Yrfb9Q7tE+dTT1QqlSiXy3rSXCwW\n", "gbE92clkklAohMPhIJPJ6GPGRkdHyWaz2Gw2VFXV97DD2N7yHTt2sG3bNgAuuugifUXSYrGgqioO\n", "h2OPvVAOh4N4PK6XvGtUVcVisUyZgPp8PhwOB8lkkm984xtcfvnl5HI5brnlFv3GgdbgTluF9nq9\n", "OJ1OMpkMZ599NlarlZ6eHpqbm0kkEvqe5omvVzAYpLu7G1VVuffee/XZ49FolLq6uv2uGlssFtau\n", "XUt9fT2JRIJgMEgwGMTn8026/t1Xw6eixZ7NZvV97VoSPdMSc6/Xy+DgINFoVF+x330/+u7MZjML\n", "FiygUqmQyWSoq6vTE+XZYDQacbvdFItF3G435XKZVCqlf82018ftdu/1xpQ2jm90dFT/3nW5XESj\n", "Uex2O4FAALPZTFtbG8lkctauRRAE4WClKEq/LMvvAd4DtDOWVL+gKMreu8VOgyzLi4FrgAVAAnhE\n", "luWPK4ry0N6O2f2m/lw1G9cZi8W44oorMBgM/PCHP6S5ufmAf453QnxN55b5cp1vl0jS5zlVVdm5\n", "cyeDg4MUi0XMZjPNzc16SW9/fz/xeByv1zvl6qZWpqwleFppuDaGymAw6OXVyWSSQCDA8PAwiURC\n", "T8ay2aw+Ozufz/Piiy/S09NDQ0MDq1evJp/P09bWxsDAgJ4o787hcEw51k2byz5VAqo1mhsYGMDv\n", "9+sz1Ts7O9m1axcWi0Xvmq4dbzKZCIfDvPHGG6TTaVauXInH48FutxOJRDAYDHuMU9M6mScSCX2v\n", "cjwe1zuIT2cFW2uIp63MxuNxvQRfkiRKpRLFYnG/Cb/b7WZkZIRKpUIikcBms+F0OlFVdcry7rfD\n", "5/NhMBj00nutG/r+uFwuDj/88EkVGbOprq6ORCJBPp/H7XbrXd8nfo94PJ59nsPj8RCPx6lUKpRK\n", "JXbu3EmxWGTx4sX6DSRtHv1cJMtyK/A9oAFQgfsVRflmbaMSBOFgIcvy/ymKcg7w/Pib9vxPFUX5\n", "8AxOfTTwnKIoUe18wPHAXpP0+TBpw+12H/DrVFWVyy67jN7eXm688UZWrVp1ULyWs3GtByNxnXPP\n", "270ZIfakz3OdnZ16Q7dAIIDb7SaXy9HZ2Ul3d7e+Ory3FUFtT3O1WmVgYIDu7m5isZi+mmo2m8nl\n", "cmQyGTKZDBaLBb/fT6FQ0BN8bR97Op2mu7ubV199FVVVOfXUU/XELxKJkMvl8Hg8UyaiWnmyVhGg\n", "xVQoFPQmarvTmskVi0WGh4eRJIlsNqvvLbbb7frIsomJdDAYxOVyMTw8TKFQYMWKFTQ1Nend4ncv\n", "cbZarTQ0NOjn9fl8emdzrdP4dITDYUKhkJ5AxmIx+vr6qFQq+tdnf0m6wWDA6/Vis9lIpVKkUilU\n", "VcVqtc44OdZG2I2MjOjzzt9Ol3aHwzHrCTqMfT3cbjd2u51EIoHZbMZqtVIsFvUbIfuLW2s+p5Xq\n", "9/f3Y7PZDppVhndBCficoiirgOOAf5FleUWNYxIE4eBxyl6e/8AMz/sGcJwsy3ZZliXgNOCvMzyn\n", "MIXvfe97/PznP+eEE07g85//fK3DEYR5R6ykz2OlUonOzk6sVivvec97sFgsdHd3s2PHDmw2G0uW\n", "LMFkMtHR0cFbb7015apgJpNhdHQUGEu2y+WyvjKrNS/r7e3VV29DoRANDQ3s3LmTkZERWlpa9NX3\n", "VCrFG2+8QUdHBwAf/OAH9YRWGwOmNfWaisPhIJ1O62O/tM7l+yrjbmxsRFVVBgcHUVWVTCajN8zT\n", "rkPbm66xWCwsXryY3t5eDAYD7e3t+4wLoKWlhV27dvHWW2+xaNEivXrg7ey/liQJj8eDx+NBVVUi\n", "kQjJZJKenh4qlQpGo3Faq+F+v59KpaJXTmjPzZTWVC2TyVCtVmlvb5/xOWdLMBikXC7rI+yKxSJG\n", "o3GPjvj7O0exWKRQKGAymZBl+V25yXAwUBRlEBgcf5yWZfl1oImxEUuCIMxTsizfOv7QIsvyLcDE\n", "O+SLgM6ZnF9RlO2yLH8P2MbYCLYXgftnck5hTzt27OCLX/wiXq+X//qv/8JoNNY6JEGYd0SSPo9p\n", "q7ALFy7EYrEQiUQoFAr4fD5sNhsOh4OGhgYSiQQjIyP09vbS0tKiH5/L5RgaGsJoNOJwOCaVbo+O\n", "jtLQ0IAkSXri29PTg9VqZdWqVdTX1zM4OEi5XKZarRKJRIjFYgwMDDA4OEgoFGLNmjXAWKl3fX39\n", "fsthtAQ1k8no5eHAPldFvV4vDoeDkZERBgYGqFQqwNgqvNPppFKp6PvRJ6qvr8dqtWIwGKaVGIdC\n", "Ib3UXyvpdrvd77jEXJIkvfFdLBZDkiQaGhr22eBv4rENDQ0Eg0G9q/mB6qauJbgmk2mvfQwOBkaj\n", "cdL3sqqqpFIpbDbbtBNtg8FAa2srDQ0NmM3mab32c9H4SKQjmFDSKgjCvNU6/qc04TGMbYvpBr48\n", "00+gKModwB0zPY8wtUKhwPr168lms/znf/7npJ+VgiC8e0SSPo9pe6jD4TADAwOk02lsNhttbW30\n", "9PQwOjqKx+Nh6dKlJBIJ+vr6cDqdetf0zs5OstksbW1tNDU1MTg4CIztPTcYDDQ0NDA0NITLOzj5\n", "AwAAIABJREFU5aK5uZnOzk5GRkaIRqOEw2EGBwdJJBK4XC56enpQFIWdO3dSqVQ49thjAd5W13GT\n", "yaQ3uysWi3oX+X2tpLvdbnw+H+l0muHhYVwuF6qq6ququ6+i737sdBkMBlauXMnLL7+sl1s7nc4Z\n", "7wOfODLs7XZElyRpUvO5A8FoNNLY2HhAz/lu0KoU3on53MFdlmUX8GPgs4qipGsdjyAItaUoyqUA\n", "siw/pyiKWOE+BN1888288sorXHLJJZx77rm1DkcQ5i2RpM9T8Xiczs5OWlpaiMVipNNpnE6n3vTM\n", "4/GQSCTIZrM4nU6am5vp7+9nZGSEbDZLpVIhGo3icDhYtGgRkiRNKlt3uVzk83neeOMNHn30URwO\n", "B6effjrlcplIJMLChQtxOp1687Kenh6i0SidnZ3A2JxyrVR9X+PJdldXV0cul9O7qe+vjFtrHheP\n", "x/XGa9roOa2r+4FKwgKBAMuWLdOvZ/dmZe/UbI0rE4R9kWXZDPwE+L6iKD+rdTyCIBxUtsiy3Kgo\n", "yqAsy27gX4EK8HVFUbI1jk3YiyeffJJvf/vbLFmyhNtvv73W4QjCvDY/6zPnuWKxyOuvv04+n2d0\n", "dJREIoHT6SQcDuslu9oqsVZi7vP5CAaDVKtVstksuVwOi8VCW1sbJpNJn2GeTqcpl8t4PB62bt3K\n", "pZdeyg9/+EM2bNjAtddeS7FYJJPJMDw8TFtbG9Vqld7eXsrlMpIk0dnZSV1dHUceeeQ+V7H3xu12\n", "43A4UFUVs9m835Vil8ulX6tW3q41UpuqadxM2Gw2vF6v3u1+unufBeFgM96waQPwV0VR7ql1PIIg\n", "HHR+CGjNWu4E3s9Yk8n7ahaRsE/Dw8N88pOfxGw2s3HjxhlX+gmCMDMiSZ+HtMRcS64zmQyNjY2T\n", "VqztdjsWi4V0Oo2qqng8HkwmE263mwULFlBfX683dYOx/elakm40Gsnn89x0001ks1nuvfderrrq\n", "Knp7e7n//vsxGo0UCgWsVitNTU3Y7XbC4TCJRIJCocCaNWv0Hw7vZKW5qalJHyO3v33CkiQRCAQo\n", "l8vEYjGGh4cxGAx6Z3dJkg5oM7BgMEhTUxOtra1vq/O5IBxkTgAuBD4gy/JL429n1DooQRAOGu2K\n", "oiiyLBuADwPnAx8BxP8TByFVVfnUpz5FJBLh5ptvZu3atbUOSRDmPVEnO8+oqko6nSafz+N0OjEY\n", "DIyOjhKJRPTRXADlchmbzUYymSSTyeByufRZ5pIkkU6nkSRJX4VOp9NEo1FUVUVVVX72s5+xc+dO\n", "1q9fz/nnn0+hUODZZ5/lqaee4uMf/zhr164lkUiwcOFC2tra6O7u5rnnngPgpJNOmrKr+nRp49im\n", "S7u2iXvYrVYruVxur+PbZkLcnRYOdYqi/AFxk1cQhL3Ly7LsAVYAXYqiDI9vkTkwpWnCAXXffffx\n", "m9/8hlNOOYWrrrqq1uEIgoD4JWveyeVyFAoFqtUqmUyGYrFIPp9naGiI3t5efca51uQtkUiQTo/1\n", "g9JGf3V1den7t1OpFD09Pbz55pv66LJKpcIPfvADHA4Hn/vc5+jp6WFoaIjPfvazANx///2YTCaq\n", "1SrRaJRyuUwikeCVV17B4XDo+9GtVusBT5Cn4vF49GZ42uxyGGuCNp+bggmCIAjCO/QD4Cnge8D/\n", "jj93JPBWzSISpvTaa69x4403Ul9fz3333TdvJ5UIwsFGrKTPM9lslnQ6TaFQIJvNYrFYMJvNZDIZ\n", "SqUS/f392O126uvr9dFksViMUCiEx+MhFovR0dGB2WzWm8TBWPdyn89HPB7nueeeY3BwkMsuu4zO\n", "zk5UVSUYDLJ27VrWrl3L888/z/bt21m7di3JZJKhoSFeeOEFUqkUxxxzDC6XC5PJdMD2gu+P1+vF\n", "arVSqVQwm82YzWZyuRxms1kk6YIgCILwNimK8jlZlj8EFBVFeXr86QrwuRqGJewml8uxfv16CoUC\n", "Dz74IKFQqNYhCYIwTtwum6O0svPdZTIZMpkM8XicUqnE4sWL8fl8SJKk7y+vVCrY7XYaGxtxOBwk\n", "EgkymYy+79xkMuF0OrHZbAQCARobG2loaKBcLlMqlfjpT3+K2Wxm3bp1VCoV3G43kiRRLBa59NJL\n", "AfjOd75DuVxmeHiYSCTCr371KwBOPfVUVFV9W6PXZkpr6FYqlcjn81itVgqFAhaL5V2LQRAEQRDm\n", "EkVRfq0oytOyLJ8w/vdtiqI8Veu4hL/593//d9544w2uvPJKzjhDtAsQhIOJWEmfgwqFAn19fQC0\n", "trZiNpsBKJVK+vzwRCLBggULaGtrI5/Pk81maWpqYuHChUQiEVKplL4vvaurizfffBOXy4UkSaxe\n", "vRqv16uXoo+MjOizybdv305HRwfnnHMOXq8Xl8tFU1MTIyMjjI6OctRRR3HUUUexdetWtm/fzqpV\n", "qxgZGeGll17C7XZz8skn6zcX3q0E2Wq10tDQQDKZxG63YzAYKJfLWCyWA9o0ThAEQRDmoV8B7loH\n", "IUz2xBNP8MADD7By5UpuvfXWWocjCMJuxEr6HBSNRqlUKlQqFYaHh/XntYZxIyMjVKtVWlpa9JFl\n", "ANVqFavVqj+fy+UolUokk0l6enqw2Wy0tLToK++aTCZDMplEkiR+8pOfIEkSF198sb4S7fV6cbvd\n", "eqf2Cy64AICNGzeydOlStmzZQjqd5tRTT8Vut6OqKiaTSb+5MNu0RnOBQAC73U48HsdgMIju64Ig\n", "CIIgzDkDAwNcddVV2Gw2Nm7cKKoGBeEgJFbS55hyuUw2m9UT4kwmo5eoZ7NZvXRdG3tmsVj0letc\n", "LqeXpjc2NuL1ekkmk4yOjmIwGCZ1f9doK/NGo5Ht27fz+uuvc/rpp9PS0gL8rZO5z+cjmUySTCZZ\n", "s2YNJ5xwAr///e+58sor+fWvf43ZbOaf/umfMBqNqKr6rv/AsNvteoKeTqfx+XyiC7sgCIIgzFx3\n", "rQMQ/qZarXLllVcSi8W46667WLlyZa1DEgRhCiJJn2NyuRyqquJyuTAYDORyOVKpFHV1deRyOUZG\n", "RkilUixevBiv1wuMlXubTCYymcykc9lsNmw2GwsWLKCzs5NkMqmPXNOkUinS6TRWq5WHH34YgIsv\n", "vhhJkjAajfrNAovFgt1up1gsUqlU+PSnP01HRwebNm0C4Oqrr8bv91OpVPTP+25yOp04HA5GR0cB\n", "qKur0/foC4LwzlWr1Vk5b6lUmpXzAuzatWtWztve3j4r5wXo7p6dPGiq3iYHwmx9XwCYTIferzaz\n", "+XrUmqIoq2odg/A33/zmN9m8eTNnnnkml19+ea3DEQRhLw69n2TTMJu/vB3stDFoNpsNi8VCJBIh\n", "k8lgMpkYHR0lHo9jtVoJBAKTVoodDgfJZJJisbjHPmyv14vZbCYajRIMBvX3q6pKIpGgWCzS29vL\n", "n//8Z4499lhWrlyp/2I38XNoJfTVapVgMMjtt9/Oli1bWL58OSeddBLDw8OoqorRaKzJSrq2N71a\n", "rc7qL9OCIAiCMJfJsmwALgc+CgQVRTlMluUTgUZFUTbVNrr568UXX+SWW26hsbGRe++9910ZcysI\n", "wjszJ5P0rq4ugsHgvJz1mM/nkSRJnzFut9vJZrNks1kGBgaoVqu43W78fv+kRNhut5NMJvWxbBO5\n", "XC68Xi/ZbJaRkRGampoAGB0d1UvrH3zwQQAuueQSJEnS55wbjcZJ5xkeHsbhcODz+bDZbCxfvpy2\n", "tjZ6enowGAxUq1UkSarJ/qimpibS6TRut3tS3IIgCIIgvC03Ax8E7gH+c/y5vvG/iyS9BtLpNOvX\n", "r6dSqXD//fcTCARqHZIgCPswJ7PYarVKPp+vdRjvOlVV9RFi2t1Rp9NJLBZDURSy2SxWqxWPx4PP\n", "55t0rNYkLZfL7XFe7RgY2+M+ODhILBYjFotRKpWIxWI8/fTTrFq1iqOOOopKpYIkSXvs6dbK3/P5\n", "PH6/nzVr1rB8+XIqlQrFYhGTyaQn97W4u2symfB6vSJBFwRBEISZuQw4S1GUHwJaLX8HsKh2Ic1v\n", "1113HW+99Raf/exnOfnkk2sdjiAI+/GuraTLsnwGY3dQjcADiqL8f7u9/xzgFsb+M68C/6rN09zf\n", "sVMpFovzrjt3oVCY1HStWq2STCbp7+8nn8/j9XpJJBI4nU59P7rGZDJhsVjIZrOoqrpHkux0OvXE\n", "PpVKAWNJt9vt5s477wTgoosu0hNtYMrX3+Vykc1mSafTegzFYpFisajHIbqMCoIgCMIhzQCkd3vO\n", "CaRqEMu895Of/ITvf//7HHHEEdxwww21DkcQhGl4Wyvpsiy3yrJ83Nv9JLIsG4FvA2cAK4GPybK8\n", "YrcPe1JRlMMVRTkCuBS4/20cu4dKpfJ2wzzkadUDVqsVVVXp7+8nm81iMBj0Rm4wlnDX1dXtcbzT\n", "6aRarZLNZvd4n8PhwGAw4Pf7aWpqorGxkebmZvr7+/nlL3/JwoULed/73geMvfYGg2HKZFubtT6x\n", "SV2hUNBvMGhj2wRBEARBOGT9EvgPWZZtoO9RvxV4rKZRzUPd3d1cc801OJ1OHnjggT22NAqCcHCa\n", "VpIuy3KbLMtbgDeA340/d54syw9M8/McA+xUFKVTUZQS8CPgnIkfoCjKxNbiLmBkusdOpVwuTzO0\n", "uWNi07jh4WF9xdpms1EqlSgUCjgcDurq6qbcr691M0+nd7/5/bckPZPJ4HQ6cbvd5PN5/ud//ody\n", "ucyll16KJEmUSiUMBgNOp3PKknWtKVwul9NvpOTzearVKqqqYjabRZIuCIIgCIe2zwONQBzwMLaq\n", "vgD4Ug1jmnfK5TKXX345iUSCr3/96yxdurTWIQmCME3TLXe/H3gCeD8QHX/uN8Bd0zy+GeiZ8Pde\n", "4NjdP0iW5XOBrwFhxhqOTPvY3c3lcSZ7k8/nMRqNVCoVEokEAwMDVCoVvYTc4XCgqir19fX6Mb29\n", "vXz1q1/l1Vdf1RPlcrlMLpejvb2dT33qU5x11llIkoTD4SCdTlMqlTCbzezatYuf/exntLe386EP\n", "fYhSqUS1WsVsNu9zxrjL5SKXy5FOp3E6nRSLRX0+utFoxGw2vxsvlyAIgiAIs0BRlATwD7Ish4B2\n", "oEdRlIEahzXv3HnnnWzdupUPf/jDfPzjH691OIIgvA3TTdKPAc5UFKUqyzIw9h+wLMt71kxPbVqD\n", "VhVF+RnwM1mW3w88KMvy8mmefxKtO/juM73nKrfbTbVaxWKx4HQ6yeVyJBIJvQlbKBRiwYIFGAwG\n", "SqUSjY2NuN1uotEof/d3f0dXVxcOhwOr1UqxWESSJOrq6tiyZQt/+MMf+MxnPsM999xDOBzWE3+f\n", "z8d3v/tdyuUy1157LQ6HA0mSyOVyeDweGhsb99pd32636w3qzGYzJpNJ76je0NCw16/bfPp6zgfz\n", "5ToFQRDmsRxjiyuSLMtNAIqi9Nc2pPlh69at3H777bS2tnL33XeLcWuCcIiZbpI+CCwFFO0JWZZX\n", "Al3TPL4PaJ3w91bG/tOekqIov5dl2QT4xz9u2scCGAwGksmk3uBsLnO73aRSKb20PZ/Pk06n6eoa\n", "+9KsWLECg8FAKBSiUqkwNDREPp8nlUpx3XXX0dXVxbXXXsuNN96IJEmUy2U6OzuxWCwUCgUuvPBC\n", "vvnNb5JOp7nrrrvI5/P09fWxdetWNm3axJIlSzjppJOIxWL6SrhWFr8vlUqF4eFhisUiIyMjqKqK\n", "2+2mUqlM+XXTrnOuE9c594ibEYIgzDeyLJ8O3MdYiftEKmNNgIVZFI/HufzyywF44IEH9pjoIwjC\n", "wW+6jePuBB6XZXk9YJJl+WPAw8Ad0zx+G7BUluUFsixbgH8Cfj7xA2RZXizLsjT++EgARVGi0zl2\n", "d0ajcd6Vu2v7urV56NlsloaGBurr62lvb8fpdFIqlQCwWCyMjIzw0EMPsXjxYq6//nr9Dqu2ql0o\n", "FAiHwzzxxBOsWbOGjRs38pnPfAa73U5/fz+XX345qqpyww030NvbS19fH6Ojo/oM9P1xOp2oqko0\n", "GtWb21mt1nnXkV8QBEEQ5qAHgNuAOsAy4c1ay6DmA1VVueaaa+ju7ua6667jve99b61DEgThHZjW\n", "SrqiKBtlWY4Cn2Rsf/glwI3j5enTOb4sy/KngV8zdgd1g6Ior8uyfOX4++8D/hG4WJblEmMNRj66\n", "r2P39fkMBsO86+5eKBSIx+PYbDZisRhWqxVZlmloaNA/RhtzZrFY+O53v0uhUOCKK67AZJr8beDz\n", "+UilUkSjUdra2vj5z3/Oueeey4MPPsivfvUrMpkM2WyWCy+8kOXLlzM4OIiqqng8Htrb2/c431Tc\n", "bjexWIze3l4MBgMmkwmz2Sz2owuCIAjCoc8G/LeiKPPrl7GDwA9+8AN++tOfcuyxx3LdddfVOhxB\n", "EN6haSXpsiwfqyjK/wH/t9vzxyiK8sJ0zqEoyi8ZG8kx8bn7Jjy+g72szE917L4YDIZ5t5Iej8fJ\n", "5XKUSiVKpRLt7e2TEnRAb9BmNBr56U9/isVi4YILLtjjXBaLBa/Xy+joKPF4HL/fzxNPPMFtt93G\n", "I488QkNDA+eddx4XXXQRkiRhtVqRJImmpias1undJDeZTHg8HqrVKjabDZfLJcqCBUEQBGFuuAe4\n", "Tpbl2xVFmVZfImHmdu3axbXXXovH4+GBBx6Y1qKJIAgHp+n+630SmCqD+jVw0G100eaBVyoV/fFc\n", "VigUGB4exmazkUgkkCSJJUuW7PFxpVIJm81GV1cXr7zyCqeddtqU89IB/H4/yWSSWCyGy+XC5XJx\n", "2223cdtttzEwMMDo6CilUonR0VFGRkYwm82MjIzg8XjweDz6earVKqOjoxgMBrxe76TGJSaTiZaW\n", "Fr3BnDYCThAEQRCEQ9qPgd8C18uyPDLheVVRlEU1imlOKxaLrF+/nkwmw8aNG2lvb691SIIgzMA+\n", "k3RZlg2ANOHxRIuB0izFNSNa0letVudFkj4wMECxWMTj8dDf34/f78fr9U76mGKxiKqqWCwWfvKT\n", "nwCwbt26vZ7TYDAQDAYZHBxkaGiI5uZmJEmiWCwyODhIOp0mHA5jtVrx+Xx4PB7sdjuRSASTyaTv\n", "Ldf2x8PYzYS6ujry+TxWq5VsNkupVMJkMuFyuaa9Ci8IgiAIwkHtJ8AzjCXruRrHMi/cdtttvPTS\n", "S1xwwQV85CMfqXU4giDM0P5W0st7eQxQBf7fgQ3nwNAS87lU8p7JZEilUthstkkJeKlUYmhoCKPR\n", "iMlkolgs0tLSgs1mm3R8oVAAxkrZf/GLXwBw5pln7vNzut1ustksyWSSgYEB6urq2LFjB9FolHA4\n", "TDgc1hN2r9dLY2MjfX19DA4O0traSrFYJJvN6vPZOzs7sVqtuFwuVFWlt7cXi8VCY2MjgUDgAL9i\n", "giAIgiDUyALgCLEn/d3x1FNPcffdd7Nw4UK+/vWv1zocQRAOgP0l6VpJ0rPA+xlfVWdshMawoijZ\n", "2QpsJrSS6rmSpGsd21VVJZVKUS6Xqa+vByASiZDNZgkGgySTSarVKg0NDXvMKNeaxmWzWbZs2cJR\n", "Rx1FOBze7+duaGigWq2STqcZHBwkFovh9/tZvnw5pVKJQqGA2WzGbrdjs9kIBoMMDQ0xMDCgN4Gr\n", "r68nGo2Sy+Uol8u0t7cTi8UwGo243W5CoRB2u/0Av2qCIAiCINTI/wGnMFbyLsyiaDTKRRddhNFo\n", "ZMOGDaK/jyDMEftM0hVF6Rx/2Db7oRw4E8vd54KRkbHtXOFwmFgsxujoKFarFYPBQDQaxWw243K5\n", "6OnpwePxTDnGTFtJ37x5M5VKZZ+l7hNJkkQ4HKa7u5t4PE5TUxPLli3DaDSSTCb10nUtyfZ4PBQK\n", "BUZHRxkYGKCxsZFUKkUmkyEcDiNJEslkEkmSaG1tZcGCBXvcUBAEQRAE4ZBmA34uy/KzQGTC86qi\n", "KBfXKKY56frrr6e/v5+vfOUrHH300bUORxCEA2TabR9lWT4HOAkIMDZfXQU4GP+znUtJei6Xo1Ao\n", "4PF49H3bPT09DA0Noaoq+Xwev99PLpejWCxSX1+/R6k7jM1Rt1gsPPbYYwD8/d//vf6+ZDJJLpfD\n", "bDbj8XgmdQPN5/MMDw9TKBQIBoM0NTXp78/lcmSzWerr6yfdGKivr2d0dJRUKqWX4FutVlpaWvSb\n", "DJIkTbniLwjC7JNl+d8URflareMQBGHO+sv42+5Ep/cDaPv27fzoRz9i7dq1fPazn611OIIgHEDT\n", "HcH2ZeBTwI+A84H/BC4AHp690N45rdxdVQ/9nwXxeJxisah3YTebzTQ0NPD666+TSqVobGzE5XIR\n", "iUQol8t4vd49kvRyuUylUkFVVX73u9+xfPlyli1bBoyt0o+OjuofG4vFcLvdmM1m8vk8mUwGgLq6\n", "Ourr6/WkWiu9V1UVl8s1KbGXJIm6ujocDgdOpxOPx6MfW19fj8fjQZIkMRNdEN5FsiyvBv6qKEoV\n", "uA74mizLzyuKcmyNQxMEYY5RFOUrtY5hPrjppptQVZWvf/3r86JRsiDMJ9NdSf9n4HRFUV6VZflS\n", "RVE+J8vyD4EbZzG2d2yurKTncjkURcFgMFBXV6d3WLdarRiNRgwGA4FAAJvNRkdHh7433GKxTDqP\n", "Vuq+ZcsW8vm8voqezWb10nmn00ksFtPfXC6Xfr5AILDHnvFsNks6ncZms025/6lQKBAKhVi0aNGk\n", "sWvAHvEJgvCu+A4gy7LcCdhlWT4aWFbTiARBmDNkWT5RUZRnxx+fsrePUxTlqXcvqrnrd7/7HU8/\n", "/TSnnnoqp512GqlUqtYhCYJwAE03Sa9TFOXV8cdFWZYtiqK8IMvySbMV2EzMlZX0nTt3Ui6XaWxs\n", "JJfLEY1Gqa+vZ2RkBLfbzeLFi2lubmbXrl0UCgUcDsdeS90BHnnkEQD+4R/+ARhrNiJJEiaTiVgs\n", "BoDP56NYLFKpVAgGgwSDwSljy2QyZDIZ6uvr95hvXqlUKBQKOJ3OPRJ0QRBqQ1GUE8dHacrANsam\n", "c7hlWf7e+N//rCjKllrGKAjCIe07wOrxxxvZe2n7wncnnLmrWq1y0003IUkSt9xyS63DEQRhFkw3\n", "SX9LluVViqJoe4w+JcvyKBCbvdDeuUNlJb1arTI8PEwul8PhcEwqJ0+n08RiMTweDytWrKC3t5d4\n", "PI7ZbCadTuNwOKirq0OSJGKxGJVKBZ/PN+Ws8WKxSEdHB8888wwnnHACq1atIpvN6vvUM5kMFouF\n", "cDiM2Wwmk8kwPDxMPB7HZDLh8/n2iDsWi6GqKj6fb48Sq1xubCTqVDcMBEGoDVmW/x/wJ+BFoKgo\n", "yodkWY4zNsf4KOCLwN/v4xSCIAh7pSjK6gmPF9QwlDnv4Ycf5tVXX+VjH/sYhx12WK3DEQRhFkw3\n", "Sb8BqB9//CXgB4ALuGo2gpqpQ6EZmaqq9PX1kc/nMRgMJBIJCoUCzc3NGAwG+vr6KJfLNDc3YzQa\n", "8fv9DA4OsnPnTurq6vQV7mw2SyaTwWg0YrVap0yMc7kcd999NwD/8i//AqDvQ9eqDUKhkF6GrjWo\n", "6+vrY2RkRC+318TjcVKpFC6Xa49VdPjbyv1UXeYFQaiZPuAs4CuMraD/B2NNQB9TFOXns/VJK5XZ\n", "GZM8m//Pl0qlWTlvd3f3rJwXYMmSJbNy3q6urlk572zeRJ+tc2ujTGfDXNtPLMvy/ymKcs4Uz/9U\n", "UZQPz/DcXuABYBVjq/XrFUXZOpNzHkry+Ty33norVquVG264odbhCIIwS/abpI+XR+aArQCKojwP\n", "LJ7luGbkUJiTHovFyOfzeDweQqEQkUiERCLBwMAAPp+PSCSC3W7Xk3G3201nZ6c+Bk1LqLXGcmaz\n", "edIoNE0ikeD6669ny5YtfOADH2DdunXk83my2SwWi4VisThlmbzZbKa5uZmenh6Gh4cxGo24XC6K\n", "xSKjo6Pk83nC4fCUSXo2m8VgMEy5qi8IQm0oivId7fH4CvpfGBuTNCjL8i7Gyt2vrlV8giDMKXvb\n", "k/6BA3DubwBPKIryEVmWTYDzAJzzkHHffffR29vLNddcQ2tra63DEQRhluw3SVcUpSrL8s8VRdkz\n", "GztIHezl7lqiq3VqB2hoaKBarZJKpeju7qZQKLBs2TI9GS+Xy8DYtWmr38VikUwmo+8rt9lsk1aX\n", "/vSnP3HppZfS09PDmjVr2LhxI5Ik6avo2ng0j8czZZxaot7b28vAwABOp5N8Pk8ul8PtduN2u/fY\n", "c16tVvX98WI/uiActFRFUTbIsnwnEAZWAEfWOCZBEA5xsizfOv7QIsvyLcDEXwQWAZ0zPH8d8H5F\n", "US4BUBSlDCRmcs5DSTQa5c4778Tn8/H5z3++1uEIgjCLplvu/qwsy+9VFOWPsxrNAXKwN46LRCKo\n", "qkowGJyUyIZCIUqlErlcjkAgQEtLi/6+kZERbDYbjY2NZDIZEomEPgJNS+QnrqK/+eab/OM//iOp\n", "VIr169dz00034ff7yefz+p72SqWCwWDA6dz7TWhtvvnQ0JBeVq8dO1VX92w2u0csgiAcdELjf/56\n", "fCTb3mYaC4IgvB3a0q404TGMlaV3A1+e4fkXAsOyLP83cDjwZ+CziqJkZ3jeQ8Jdd91FIpHgtttu\n", "w+v11jocQRBm0XST9C7gl7Is/wzomfC8qijKTQc+rJk5mFfSE4mEvhK9e3IsSRKSJNHa2kpLS4t+\n", "HYVCgVQqpZe/9/b2EolEAPSZ4xaLZVJ5+b/+678Sj8e5/fbbOemkk7DZbBSLRYaGhvTjBgcHcblc\n", "+93babVaaWtr05P6jo4OTCbTlHvOtf3oIkkXhIOXoijF8T8/WutYBEGYOxRFuRRAluXnFEW5fxY+\n", "hYmxqp9PK4ryJ1mW72GsV9JB97vogdbZ2cn9999Pe3s7n/jEJ2odjiAIs2y6Sbod+Bljd0K15V2J\n", "vY/XqKmDdSW9XC4zMjKC0WiccrRZLBbTE/iJSa5Wnu73+/WV7UQioSfKu3btwuPx6EkQmKvcAAAg\n", "AElEQVTz73//e5566ilOPvlkDj/8cIaGhibNJvf7/fprs7dkWlVVRkdHKZVKeDwe7HY7RqORTCaj\n", "d5KfirYfXXR2FwRBEIT5aZYSdIBeoFdRlD+N//3HjCXpezVV1d+h6Pbbb6dYLHLbbbdRX1+/x/vn\n", "ynVOx3y5VnGd89u0knTtzuihxGAwHHQr6cPDw1SrVUKh0B6dXGOxGNFoFLPZPCmBL5VKpNNpbDab\n", "noRbrVZ9L7vWFd7pdGI2mwHYsGEDAJdccgmFQgG/309dXR3VahW73U5dXZ2+Ej9Vkq6qKv39/Xrp\n", "eiqVoqmpCYfDQTqdBpiyYVy5XBbz0QVBEARBmBWKogzKstwjy/IyRVF2AKexn606qVTq3QluFr38\n", "8sv84Ac/YO3ataxbt26Pa3K73XPiOqdjvlyruM655+3ejJjuSvohZ2KDtYNBKpUinU7jdDr3aNQW\n", "j8f1BF0buaZJJpOoqjppBNpEiURC77wOY01FHn/8cZYsWcLy5cvJ5/O0tLTscdc1m83qY9t2F4lE\n", "yGazenO4gYEBhoaGaGtrI51OY7FYplwp1xL4fe1xFwRhbpBl2QhsY2xV6+xaxyMIwrxxNfCQLMsW\n", "YBdwWY3jmVWqqnLjjTcCcOuttx4SY4YF4f9n787DIyurxI9/a09VpZbsnU5vrK+iYrsxKtgyoygi\n", "4vKMqAMy0oorm9o/BNSmWUUdBhAQkU1RGZABBkfBpR1wHAfZRseF5h3opvcknaVSqb1u3bq/Pyr3\n", "kj3V3UkqqZzP8/STyq2qe0+1mM6557znFQevbpN0l8u1YCrppmnS19eH2+2e0OZeKBTo7+/H6/Wy\n", "YsUKvN6x/5Ok02ncbvekletisUgqlSIQCDhV9ocffphisci73/1uZ7ibXWG3GYaBYRhEIhEMw6BQ\n", "KOD3+/H5fAwODjI8PEwwGKSjowOXy0VTUxODg4Ps3r2bcrk85Z2gdDqNy+WSJF2IpeE84FlA+tSE\n", "EPNGa/2/wBtqHcd82bx5M7/5zW844YQTeOtb31rrcIQQ86Ruk3S32+1sW1ZrfX19mKZJW1vbhIS5\n", "v78fy7Lo6OiYkKDn83mKxSKBQIA9e/ZQKpWIRqM0NzfjcrnIZrOk02mCwaCTGP/sZz8D4Pjjj6eh\n", "oQGXyzWhWp7L5YDKzYMdO3ZM6Djw+/10dnY6LetNTU0kk0n27NlDW1vbpFu2FQoFcrkc4XB4wucQ\n", "QiwsSql3AmuB0Xf/qh4EqpRaAZwEXAnIPkBCCJRSb6OKWUVa6/+Yh3DqgmmabNy4EZfLxWWXXVbr\n", "cIQQ86husymXy7Ug2t2z2awzmX38dhmFQoFsNks4HJ50Uro9pC2dTuPz+fB4PAwODpLNZmlvb6e7\n", "uxvTNJ316dlslkcffZTDDjuMVatW4fV6MU1z0iTdNE1SqRQ+n4/m5mZKpZJzQ6C5uXlMy73b7SYS\n", "ibBt2zaKxeKkSbg93G6qtnwhxMKglLoROBV4FLC3LdrfQaDXAv8PmHjHTgixVN3O2J8jK4AyMAC0\n", "AG4qOwQdOv+hLU733HMPf/3rXzn99NN5xSteUetwhBDzqKokfZq7owUq6xF3zGpUs2ChDI4bGBgA\n", "mHSa+/DwMDB1YpvJZEin08RiMVpbW4nH4/T19ZFMJtm5cyd9fX2Ew2E6OipbHj/66KPkcjne+ta3\n", "4vV6sSwLn883YYhbLpdzzjtVZXw8t9vtJP2lUmlMoj76RoS0ugux4J0GHK213jXjKyehlDoZ2Ke1\n", "/oNS6vhZjUwIsWhprdfYj5VSF1NJzL+qtc4qpULAZcBgjcJbdHK5HJdffjkNDQ18+ctfrnU4Qoh5\n", "Vm0l/XZgOZVE3b4j6gL2AR1KqT8BH9ZaPz8nUR6A0duw1WrSeCaTIZ/PE4lEJh3Qlk6n8Xq9kya2\n", "9lrxcrmMx+MhHo/jcrlob28nHA4zPDxMQ0MDq1evdj6f3eq+bt06AoEAmUxmQoXeXo9eKpXw+XxV\n", "JeiWZZFMJmlubqahoYG+vj46OzuBSjdAT08PLpdr0hsRQogFpw9IHsT73wycopQ6CWgAokqpu7TW\n", "Z8xKdEKIevAFYLnWuggwkqhfDOwFrqppZIvEzTffzN69e/nCF75AV1dXrcMRQsyzapP024AYsFFr\n", "nVNKBYFNQAq4Dvgn4NvACXMR5IGwp1/aSW4tJJOV34Mn21M8n89TKpWmraLn83l8Ph+RSGTMjYZw\n", "OIzb7SadTjtD3EzT5Oc//zltbW284hWvcNa+j18Dn81myWQy+P3+qhJ0qFT8TdOkq6uLfD5POp2m\n", "t7cXr9fL0NCQs6Z+shsRQogF5xrgh0qpq4Ge0U9orbfN9Gat9cXAxQBKqbcCGyRBF0KMkwGOAf5r\n", "1LE3jBwXMxgYGOCf//mfaW5u5vOf/3ytwxFC1EC1Sfr5QKfW2gAYSdS/CuzVWl+hlPoisGeugjwQ\n", "tU7SS6US2WyWYDA4afKayVT+nZpsLTpU2pyy2SyxWGzSye75fB6AhoYGLMviySefpL+/nw9+8IO4\n", "3W6SySSJRGJCddtudW9paam6ip5IJHC5XM6a+j179jit+l6v16nuCyEWhZtHvp487rgFHMgPy9oP\n", "/xBCLDRfAR5RSv07sBtYSeVnzudqGtUi8c1vfpPh4WGuvvpqmfUjxBJVbZKeoXIH9L9HHXsdL90R\n", "tVhgv6iNbnevhXQ6jWVZU25Xls1mcblc0ybppmni8/kIBoMTnh+dpOdyOafV/bjjjiOZTFIulxke\n", "Hqavr49YLOb8fSSTSaeCX80U9kQigWEYNDU1OTc7Vq5cSTZbmTcVCoVqtpxACLH/tNaztsmu1vo3\n", "wG9m63xCiPqgtf6BUuoZ4O+BTmALcLnW+tnaRrbwvfjii9x6662sWbOGT3ziE7UORwhRI9Um6V8F\n", "fqGU+gmVO6IrgPcA54w8/zbgX2c/vANX6yTdTmInqzCbpkk+nycUCjkV/9EKhQLFYhGPxzNpgg44\n", "rfD2gLif/exnhEIhjjrqKKCyjVokEsE0TQYGBmhtbaVQKJBMJmloaKiqil4qlUgkEni9Xpqbm53j\n", "she6EIufUmoV0AXs0VrvrHU8Qoj6orV+Vil1JdChtd5b63gWi8suuwzDMLjkkkvw+/21DkcIUSNV\n", "Jela67uUUk9TuSO6HNDAVVrrv448/+/Av89ZlAfATtJrMeHdsiyy2SwNDQ2TVqtnanXPZrPk83kC\n", "gYCTpNuV9XA4TKlUolQqOVX6LVu2sHXrVt7xjndgGAaRSMRpg7fXjUciEVKpFOl0mmXLlk3aQj9e\n", "f38/5XKZtra2SW8mCCEWH6VUJ3AP8CZGBoEqpX5PZfin/CIthDhoSqkm4CYqvzeWgJBS6hTgGK31\n", "V2oa3AL2zDPPcP/99/Oa17yG97///bUORwhRQ1Xvkz7SonTZgV5IKXUilSFzHuA2rfXXxz1/GnAB\n", "lanxKeAzWus/jTy3HRgGTMDQWh8z0/VqWUnPZDJYljVtEg6TV9mhUiUvFotEo1GCwSB9fX0MDQ0B\n", "EAgEnPVJDQ0NAPzLv/wLAMcff7zTmp7NZvH7/bS2trJ79256e3vZt28fAMuWLZvxM+RyOWdbtWoH\n", "zAkhFoXvAP8LnKS1ziilwlSmLX8HOKWmkQkh6sV3gASwGrBb3B8H/pnKenUxjmVZbNy4EYDLL79c\n", "iiNCLHHV7pPeAmwA1gKjS7CW1npdFe/3ADcCb6cyYO4ppdRPtNZbRr1sG7BOa50cSei/C7zRvg5w\n", "vNa66v017R9utUjSZ0rC7QR6qjamXC7nVMELhQJDQ0MEAgH8fj+pVIpdu3Y5VXbDMLj33nuJxWIc\n", "ffTR+P1+wuEw6XTaWc/e1NTEvn37GBoaoqmpadJp8+MNDlb+qmVbNSHqznHAB0dtjZRRSl1AZWsk\n", "IYSYDW9jZOCwUgoArXWfUqq9tmEtXL/85S/57W9/yzvf+U7WrZvxV2shRJ2rtpJ+N+AHfgzkRh2v\n", "NgM+BnhBa70dQCl1D/BeKoNEANBaPz7q9U9QWfc+2n5NJ6tlu3smk8Hj8TiV7tHstvWpqtOFQgHT\n", "NJ34+/v78Xg8dHZ24vP5KJVK7Nmzh7a2NgKBAPfccw89PT2cccYZGIZBW1vbhO3XWltbSafTxGIx\n", "DjvssBkHveXzebLZLOFwWLZVE6L+DAJHAX8cdexlVKpeQggxG4aANkbd/BuZgyE3AydhmiYbN27E\n", "7XZz6aWX1jocIcQCUG2S/iagXWudP8DrdAG7Rn2/G/ibaV7/ceDhUd9bwGallAncorW+daYL1qrd\n", "vVAoUCqVpkzCR09Fn0wul8MwDHw+H8lkkmg0yvLly52EOx6PY5omuVyOQqHAVVddhdfr5ZRTKl2q\n", "nZ2dGIYBvJSkW5ZFuVymtbW1qq08ptvfXQix6H0D+JVS6nZgB7AGOJPKgFAhhJgNtwH/qpT6CuBW\n", "Sr2JyrKaW2ob1sJ09913s2XLFs444wxnALAQYmmrNkn/E5XK9gsHeJ2qM2Wl1N8C64FjRx0+Vmvd\n", "rZRqo/LL5XNa699Od57R+6TPp5mGwqXTadxu96RT28vlMplMxvkTjUZpbm4e0zZvD4bzeDxs2rSJ\n", "5557jjPPPBOfz0dDQwOxWMxpVbeT9OHhYUzTpLm5ecYqerlcJp1O4/f7p5wsL4RYvLTWtyqltgKn\n", "AUdTqWx9RGv967m43lxt0bgYpx7P5U3jHTt2zMl552rJ0+7du+fkvDB3/+4vxv/maujrVDovbwR8\n", "wJ1U1qlfX8ugFqJsNssVV1xBMBjk4osvrnU4QogFotok/T+AR5RSdwI9I8dcVNak31HF+/cAK0d9\n", "v5JKNX0MpdTRwK3AiVprp/VSa9098rVPKfUglfb5aZP0aDRKKpWisbFxyr3K54I9SX3ZsmUThn7k\n", "cjlnmNvoSns+n6e3t5dCocCePXtIJBJEIhFWr17NmjVrnNclEgn+/Oc/093dzaOPPsrdd9/N6tWr\n", "Offcc+nt7eWII44gGo2SyWRobGykpaUFj8fD4OAgkUiElStXOnudT2V4eJhQKERra+u8/r1VY6HF\n", "M1fkc4q5opTyUtmd4yit9X/UOh4hRN3q0Fpfz7ikXCm1jJd+jxTAt7/9bbq7u9mwYQPLly+vdThC\n", "iAWi2iR9HZVE+4RJnqsmSX8aOEIptYZK1eZDwEdGv2BkrdIDwOla6xdGHQ8BHq11amQK8TuAGRfs\n", "pNNp0uk0gUBg0m3Q5oJpmvT39xMMBp2K+mi9vb3O2vBUKgVU2uN3796NZVn4/X5KpRIej4dQKERz\n", "czOpVIpUKsWGDRv48Y9/jGmazvlWrVrFrbfeyp49e7Asi3g8TiqVYnBwEMMwyGazZLNZBgYGiEaj\n", "Tqv9dPbu3Us2m6W1tdWJcSGwt5Crd/I5689CuhmhtS4ppcpAECjUOh4hRN36P2CydX/PAs3zHMuC\n", "1d/fz7XXXktLSwvnnXdercMRQiwg1e6TfvzBXGTkF8OzgV9Q2YLtdq31FqXUp0aevwXYCDQBN49M\n", "ArW3WlsGPDByzAv8SGv9y+mu98wzz7ByZaVwP59r0qfbes3e0qyhocF53rIsenp6sCzL2RatUCiQ\n", "yWSIx+O4XC5M0+S0007jscce44gjjuB1r3sdq1ev5lWvehXHHHMMpVKJbdu2sWbNGudmhL2mHV5a\n", "X17NWvRSqUQulyMYDDrvF0LUnWuBe5VSX6MyK8T5Iam13lazqIQQ9WTCOhelVBSY/2m+C9jXv/51\n", "UqkU3/jGN6r6PU0IsXRMmaQrpVxaa2vk8ZSbNWqtq/qBq7V+BHhk3LFbRj3+BPCJSd63jcrWb1Xr\n", "7+93qlfznaQDNDY2OtdOJpNORRvGru8bHBykWCzS3NxMY2MjAwMDmKaJ1+t1pqrfdNNNPPbYY5x4\n", "4olcfvnlBAKBMS3wuVyOXC5HS0sLUKnml8tlpyqfyWRoaGiYdNL8eOl0GsuynPiFEHXpxpGv4zuj\n", "LCo3UYUQ4oAopewhwaFRj20twL/Mc0gL1tatW7n99ts55JBDWL9+fa3DEUIsMNNV0ocBu0+zNMVr\n", "FuwvdXbCPF+D4yzLIpvNEggEnCp0d3e3E0cgEKC1tdVJlvP5PIlEAr/fT3NzpfMrl8tRKpWcPdGH\n", "h4e55ppriMfjXH311ZimSTwed65ZLpcZHh7G5/M5iXWxWARwpsNbllX13dl0Oo3L5VpQ7blCiNml\n", "tZ7ypqsQQhykj458fQQ4nZcq6hbQq7V+riZRLUCXX345pVKJTZs2yVBCIcQE0yXprxj1+BD2c5/y\n", "WstmswSDwXmrpGcyGcrlsjOJPZlMkslkCIfDdHR0jBnYZlkW+/btw7Is2tvbnenHhULBeez3+/n2\n", "t79NIpHgK1/5CgAej2dMwp1MJimXy2OOjd5+bXBwEI/HU1XSbbe6h0KhGYfLCSGEEEKMp7V+DEAp\n", "1aK1nnkQzhL11FNP8cADD/C6172O973vfbUORwixAE2ZpGutd4IzDfj7wDu11otm0FCxWJzXJN0e\n", "gmVXtIeGhnC73bS3t09IegcHBykUCsTjcWebs2KxSLlcdibCZ7NZbrzxRpqbm/nIRz5CPp+npaVl\n", "zP7vQ0NDhMPhSZP0YrGIYRjO2vaZpNPpMfELIeqTUmqqnTEsrfW6eQ1GCFGvfqiUunb0drlKqXXA\n", "uVrrv69hXDVnWRYbN24E4IorrpizbSqFEIvbjIPjRoa+HQIsmhZJr9dLqVTp0J+PdvfRa78DgQCF\n", "QoFisUgkEpkwWd6evu73+5115FCpottcLhff/e53SSaTTjuUx+MZ0+qeTCYplUrE4/ExW73ZSXou\n", "lwMYs9XbdOxWd0nShah7t4/7fhnwceCHNYhFCFGfjgdOHXfsceDf5j+UheXnP/85v/vd73jXu97F\n", "scceW+twhBALVLV7k11KZer6JiZOA15wkzr9fr9T2Z6PSvrQ0NCYtd9TVaXt/dA9Hg+dnZ1jkmt7\n", "LTlUEvmbb76Z9vZ2TjvtNBKJxJhk3K6iu91u4vH4mK3VDMOgXC5TKBScmwYzkVZ3IZYOrfX3xh9T\n", "Sv0rcCdVbG8phBBVyAFhIDnqWBgoTv7ypaFUKrFx40bcbjeXXio/boUQU6u2On4bcAawDTCoDJIr\n", "jTxecAKBAMViEbfbPedJumEYJJNJfD6fs/Y7l8vhcrmc9elQ+cHc3d0NwLJlyyYMCSkWi5imidvt\n", "5pZbbiGdTrNhwwanE2B0wp9KpTAMg1gsNiGpNgyDYrG43wPjxl9DCLGk7AFeXesghBB145fAd5RS\n", "MYCRrzcBP69pVDX2wx/+EK01Z5xxBi972ctqHY4QYgGrtpJ+6JxGMcv8fj+WZY3ZL3wu2Pucl8tl\n", "ZwCcZVkUCgUCgcCYdUY9PT2USiXa2tom3Ue9UChgWRbbtm3j3nvv5bDDDmP9+vXs3r0bn8/nrF0H\n", "SCQSuFyuMe3vUNl+zTRNpypebdItre5CLB1KqY8zqhuKSnXrA1RaUYUQYjZ8EfgBMKiUGgSaqUx8\n", "/+i076pjmUyGq666ilAoxEUXXVTrcIQQC1xVSbrWevscxzGr7MS8VCrNaSV9cHCQfD5PLBZzquj2\n", "ALjR+5InEglyuRzRaHRCYg2VdfOGYZDNZrngggswTZOrr74awzAwTXPMuvJcLkexWCQajU5Y724Y\n", "hlPFj0ajY9rppyKt7kIsOR9lbJKeAX4HXFubcIQQ9UZrPQi8WynVCawEdmmtu2scVk3ddNNN9PT0\n", "cMEFF9DZ2VnrcIQQC9yUSbpS6lat9Vkjj38wxcssrfUZcxLZQbDXYZumOWeD47LZrDMArq2tzTme\n", "z+fHxFAul0kkEng8njGvG82uol955ZXs3LmTs88+m3e+85309vYCjNlCLZmsLO+abCCcYRik02mC\n", "wWDVA+PGT6UXQtQ3rfXxtY5BCFHflFJ2laB35I9zbCHOMpprfX19XHfddbS2tnLeeefVOhwhxCIw\n", "XSV926jHW6lUXuz+bfvx/Oxvtp/syeamac5JJb1cLtPb24vL5WLZsmVj2trtKe12kp5MJjFNk9bW\n", "1ikr24VCgfvuu4/Nmzezdu1aLrnkEizLIp1O4/f7x9x0SKfTBAKBMe3vtkwmQy6Xo62traqBcfZ7\n", "pNVdiKVFKfUyKpOXO7TWnxv53q+1/lONQxNC1IfSFMctYMm17V199dWk02k2bdo0pvAihBBTmS5J\n", "bxn1+Lda61/PdTCz5c9//rMzNG4ukvT+/n5KpRItLS0TkuFCoYDb7XaODw8P43a7px3i9n//939c\n", "d911xONxvvGNbxAIBEilUpTL5QkD4yzLmrJKPjAwgGVZtLa2VvU57Fb3cDgsre5CLBFKqQ8C3wYe\n", "AP4B+BwQAb4GvL2GoQkh6sf4WUbLgIuAf69BLDX1/PPPc+edd3LYYYdx5pln1jocIcQiMV2S/klg\n", "w8jjB4Hq+qcXALfbTSqVorW1ddbb3YvFIsPDwwQCAZqbm8c8Zw+Ns9ej2/ulz7Q+/Ktf/SqFQoFN\n", "mzaxcuVKoDLMrVQqkc1myWaz+P1+stnslFXvQqFAIpEgEAjQ1NRU1WexW91HT6EXQtS9y4ETtNZ/\n", "VErZ+xj/EVhbw5iEEHVkkllG25VSZwBPUdkxaMm47LLLKJVKbNq0aU6HGQsh6st0SfofR/bO3QIE\n", "lFKX8VK7u83SWm+cs+gO0PXXX8+HPvQhJ0G3LGtMS/rBSCQSWJZFS0vLhOfsteV2kp7JZIDpk+Df\n", "/e53PP7447zpTW/ihBNOwOfzUS6XGRwcZGhoCK/Xi8vlIpPJsHfvXlpaWiYk/Hb7fbFYpKurq+rP\n", "Ml3SL4SoW23AZG3tS26dqBBiXkWp/PxZMp544gkeeugh3vCGN3DKKafUOhwhxCIyXZL+QSrV9NVU\n", "kvOV455fsGvSf//73/Oyl70MpRQwe0l6qVQilUrR0NAwaeJtD42z90C3k+DJtlyzXX/99QB85jOf\n", "weVy4fP56O7upre3l3g8TltbG/F4nJ6eHvbt24dpmuzYsYNoNEpDQwOWZbFr1y7y+TyNjY1V741e\n", "LpfJ5XI0NDRIq7sQS8v/UJnw/v1Rxz4EPFmbcIQQ9WaSgcMhYB3woxqEUxOWZbFxY6WOdcUVV8xa\n", "sUgIsTRMmaRrrXuptEWilPJqrRfVQpqtW7c6lfRyuVzVdmQzSSaTWJY1ZSJcLBYBaGhooFwuk8/n\n", "CQaDU157YGCAzZs3o5Ri7dq1Tiv9zp07cblcHHHEEc6AEcuy6OzsJB6PMzw8zODgIFCZym4YBuFw\n", "GLfbXXUrVSaTwbKsaW8gCCHq0jnAr0b2Sw8ppX4JHAm8o7ZhCSHqyPiBw2ngZq315tqFNL8efvhh\n", "Hn/8cU4++WTe9KY31TocIcQiU+0+6R+b4zhmXU9PD6ZpAsza8LhUKoXb7Z5yMmc+n8ftdjvrx0e3\n", "vk/moYceolQqceKJJ2IYBj09PUQiEcrlMoceeuiYBN1el97W1kZrayuZTIZisUg8Hsc0TbLZLLlc\n", "ruokPZvNArIeXYilRmv93Mg095OBnwI7gZ9prVO1jUwIUQ+UUh4qE9yv1Frnax1PLZRKJTZu3IjH\n", "42HTpk21DkcIsQhVlaQvNm63m+HhYUqlyg4gszE8LpfLYRgGsVhs0pYly7IoFovO1mj2NnDTJen3\n", "3XcfLpeLt7zlLXR3d2MYBi6Xi87OTjo6OpzX5fN5yuWyk1CPXkceiURIpVLOZ7Vb7WeSyWTw+XxV\n", "b9UmhKgfWusMcG+t4xBC1B+ttamU+gxwyVxdY+RGwNPAbq31e+bqOgfqrrvu4vnnn2f9+vUceeSR\n", "tQ5HCLEI1WWSHo/HSafTzp7ls1FJt4fATTVkLZ/Pj6mc29eebD9zgF27dvG73/2O1772tfh8PizL\n", "IhAIEA6HiUQiY5J7u+o9XWu6fb1qkvRcLodpmrJXpxBLiFLq0RleYmmt/262r1vtjcP9Zc8AmQte\n", "79z80zjbu43Mx7l37949J+edy39/0un0nJx3NpbNTWUu/9uokbuAzwA3zdH5zwOepbJ95IKSTqe5\n", "6qqrCIfDXHTRRbUORwixSNVlkt7S0sILL7zg/EM9G0l6Op3G4/FMmXSPHxqXz+fx+/1T/qN+//33\n", "A/DmN78Zt9uNYRh4vV6CwSDt7e1jXpvJZHC73VNeGypJus/nq+qXiGqSfiFE3ZlsYJMFdFH5hVd+\n", "IAghZsvfAOcopS4AdvHSoGFLa73uYE6slFoBnARcCXzhoKKcAzfccAP79u3jwgsvHNMVKYQQ+6Mu\n", "k/S2tjaef/55BgYGgIO/Q10sFjEMg0gkMuV0ztFD40zTxDTNaZPqH//4x/h8Pt7whjdQLBZxuVw0\n", "NTXR1dU15hqlUolCoUA4HJ7y2qZpUiqVqt5KLZ1O43a7JUkXYgnRWo/Zm1gp1QpcCJxFpfX9slrE\n", "JYSoS7eO/BlvNoYEXQv8Pypbui0ovb29fOtb36K9vZ1zzjmn1uEIIRaxg0rSlVIprfWCazVatmwZ\n", "AN3d3cDBV9Kr2e88l8vh8Xjw+XxOpXqqNs9nn32Wv/zlL6xbtw6Px0MgEMDn87F8+fIJibh9rukS\n", "fvsGQTVtpYZhUCwWaWxslO1AhFiClFIxYAOVKe8/BV6rtd5a26iEEHXmOa3178cfVEr9zcGcVCl1\n", "MrBPa/0HpdTxB3OuuXDFFVeQyWS44oorZEmhEOKgHGwl/aRZiWKW2e3iiUQC0zQPupLe29vL4OAg\n", "TU1Nkya3pVIJwzCcSvZMSfN9990HwLp16zAMA7/fT1NT06TrIKuZwj6+1X469hIAmeouxNKilApR\n", "aWvfADwGHKu1/mtNgxJC1KtfMnml+xGg+SDO+2bgFKXUSUADEFVK3aW1PmOqN8xXsvzggw/y/e9/\n", "n1e+8pV87nOfq3q3ndmylG4KLJXPKp9zaTuoJF1r/dvZCmQ2tba2AjhTzw+mkt7T08PevXvxer0k\n", "EgkKhcKEiredJNvD3gzDACZPmi3L4r777iMcDnPUUUcBEIvFptzjPJvN4vP5psGSTKoAACAASURB\n", "VE3AZxpSN/58IEm6EEvQi4Ab+AaVqcgdSqkxCya11v9Ri8CEEPVBKeWmsje6a+TxaIcBpYM5v9b6\n", "YuDikWu9FdgwXYIOld8F59rOnTtZv349wWCQ22+/nXw+P6fDLcezd/pZCpbKZ5XPWX/292bElEm6\n", "UurjTL92yEVlAMgd+3XFeWBX0tPpNKZpHnCSPjQ0xMDAAD6fj8MOOwyXy0U6nWZgYMC5EQATt1sr\n", "FAq4XK5JE+vHH3+cnTt38p73vAfDMGhqaiIUClEsFick6fl8vqop7Pb+6DNNJDZNk1wuRzAYxOPx\n", "VPV3IISoG7mRr5+e5jWHzEcgQoi6VZriMUCZyrC32TQba9wPSqlU4uMf/zhDQ0PccMMNvPzlL691\n", "SEKIOjBdVvdRqvvht+CSdHuaZiaTOeB2d9M0GRgYoFgs0tbWRjQaJRwOs2vXLhKJBKFQyBm8lslk\n", "xkx+txPuydZ833333QCceOKJAM5AOI/HM2Eyu70WfroKuWEYlEolotGZ56ekUiksy6p6wJwQon5o\n", "rdfM1rmUUnHgNuAVVP6dWD/Z+lMhxJJz6MjX/wTeQqWgA5WfE31a6+xsXUhr/RvgN7N1vgN11VVX\n", "8cQTT/CBD3yAM86YtqgvhBBVmzJJ11ofP49xzKrly5cDldbuA62kDw0NUS6XCYVCzvZnLpeLjo4O\n", "du3axb59+1i1apUz+d1Okqeb7J7JZHjwwQdZvnw5SikGBgaIRqPOuvTJXj/TFHa7fX30vupTGR4e\n", "xuVyydoPIcTBuh54WGv990opLyDrZ4QQaK23jzxcNfq4UipIpZJeVx577DGuueYa1qxZw/XXXy8D\n", "eYUQs2bmTbVHKKValFJnjOx5iVKqa2SvygXHnu5+oEl6uVxmaGgIr9eLz+fD5/M57eGBQICmpiYM\n", "w6Cvr4/BwUHgpXUG9vrwyZLuBx54gFQqxUknnUSxWMTr9eLxeEgmkxNiLBaLztZrUGlpt9e6j2av\n", "45hpjXkmk6FQKBCJRKTVXQhxwEamw7/FXuqktS5prZM1DksIsYAopf7JnuSulHo3MAgklFKn1Day\n", "2dPX18dZZ52Fx+PhjjvuIBaL1TokIUQdqWpw3MhwjvupDBs6lsrgoSOALwLvmbPoDlBbWxtQSWwP\n", "ZHCcXUWPxWIkEokJVfHm5may2SzDw8MAY1rfp5rsXi6XueGGG/B6vXzgAx8gk8nQ399Pa2srg4OD\n", "lEolvF4v7e3teL1e59yWZfHiiy86LfuxWIy2tjZcLheGYThrzKdbj25ZlrNnfFNT0379XQghxDiH\n", "AH1KqTuBVwPPAOfNZhurEGLROx3YOPL4kpHvk1T2OP9JrYKaLeVymU996lP09vZyxRVX8PrXv77W\n", "IQkh6ky1092vBz6std6slEqMHPs9UPV+l0qpE4HrAA9wm9b66+OePw24gMr6pRTwGa31n6p573iN\n", "jY14vV5n8Nr+JOmWZZFMJp39ywHnq83lcrF8+XIn8W1paXGem2qy+0MPPcRzzz3HySefjM/nY2Bg\n", "gEAgQHNzZSeShoYGMpkMO3bscG4O2BV2r9dLc3MzmUyGZDJJLpejo6ODRKLyP8V0d29N06S3t5dC\n", "oUA8Hq9qmzYhhJiGF3gtcLbW+iml1HXAhbz0C7kQQgS11lmlVCtwiNb6fgCl1JrahjU7brzxRjZv\n", "3szb3/52zj777FqHI4SoQ9W2u6/WWm8ed8ygkjTPSCnlAW4ETgSOAj6ilBo//nIbsE5rfTRwOfDd\n", "/XjvGPY6bjtJ35/Bcfa2bbFYzKmKT7be2+Px0N7eTnt7+5j28ckmu2cyGS655BJ8Ph8f/OAHSafT\n", "uN1uDj/8cKLRKMFgkFgsht/vJ5VK8eyzz7Jjxw7nc6xcuZKWlhZWrVpFU1MTxWKRXbt2kU6nCYVC\n", "U64xHxoaYseOHWQyGUKh0JiJ9EIIcYB2A7u11k+NfP+vVJJ2IYSwPT9SfDkb+BWAUqoNWPQdN08/\n", "/TSbNm2io6ODW265ZcLQXyGEmA3V/mTZMlLNHu1twJ+rfP8xwAta6+1aawO4B3jv6BdorR8fta7x\n", "CWBFte8dr1wuEw6HKRQKFAqF/aqkDw0N4XK5xiTp4yvp05lssvuXv/xltm/fzqmnnko0GnUq6K2t\n", "rSSTSfbu3cvQ0BDFYpFgMEhDQwPt7e0ceuihrFixYszWbK2trSxfvpxIJEJzc7MzJG/859+7dy99\n", "fX1AZUu6rq4uGWgihDhoWuseYJdS6siRQ28H/lrDkIQQC89nqSTof8tLXTbvBH5Zs4hmQTKZZP36\n", "9Zimya233uosrxRCiNlWbbv7F4CfKqUeBhqUUt+lshZ92mR5lC5g16jvdzN9q/zHgYcP8L28+OKL\n", "hMNhuru7yWazVVfSs9kshUKBaDTqtMuPHho3k/GT3U3T5P777+eOO+7giCOO4L3vfS/xeBy3241h\n", "GHi9Xnbu3AlAZ2cngUCAcrnM6tWrp53WHg6HnUFx4+/gGoZBd3e3M3Suo6NDBsUJIWbbOcCPlFJ+\n", "YCtwZo3jEUIsIFrrJ4E3jTv2Q+CHtYno4FmWxXnnncf27dvZsGEDxx9/fK1DEkLUsWqT9CepDAg6\n", "HUgDO4E3aK13V/n+qkvZSqm/BdZTGVC3X++12ZV0gMHBwaor6UNDQwDE43FKpRKlUmm/tisbPdm9\n", "WCzy5z//mQsuuAC/38+GDRtobm5mzZo1bN26FZ/Px9DQEKVSic7OzmkHupXLZUzTxOVy4Xa7p2yt\n", "ymaz9PT0YJomTU1N0t4uhJgTWuv/Bd5Q6ziEEAuXUkpR+d2xcfRxe2eIxeauu+7igQce4I1vfCMX\n", "X3xxrcMRQtS5GZP0kT1wU0B8poFt09gDrBz1/UoqFfHx1zoauBU4UWud2J/3jmfvW57L5QiHwzMm\n", "28ViEZfLRXt7O62trWQyGRobG2lpaak6UTdN03nP4OAg119/PYODg1x22WUcf/zxzhR4r9fr7K3u\n", "drtpb28fcw3Lssjn86TTaae6P57H48HtdjM0NITP56NUKpHNZgmFQrS3t9flViBLZX93+ZxCCCEW\n", "M6XUxVTa3P+XievQF12SvmXLFi644ALi8Ti33377tDvqCCHEbJjxp4zWuqSUeh5opZIwH4ingSNG\n", "pnruBT4EfGT0C5RSq4AHgNO11i/sz3vHsweuAezbt4/h4WFnP/Gp7Nu3j3Q6TTQaJZVKMTAwQDqd\n", "JhaLzfhe2+DgIOl0moGBAZ588kkeeughXvWqV/G+972PTCZDS0sLPT097Ny5k3g87lTH8/k8w8PD\n", "pNNpMpmMs7+7/VnsLdYsy6JcLlMulzEMg3K5TENDg7P2PBgM0traitvtrjrmxSISidTdZ5qMfM76\n", "IzcjhBBL0OeBY+xdehazXC7Hxz72MXK5HLfddhsrV66c+U1CCHGQqr0V+EPg35VS36KyPtzpH9da\n", "/8dMbx5J9M8GfkFlIvztWustSqlPjTx/C5U7rk3AzZUOKQyt9TFTvXe66/X29jpJ+tDQ0Izt7qZp\n", "Mjw8jN/vd9rk7er1/gyNsye7Z7NZfvCDH2BZFl/84hfHVM37+vooFArO4Le9e/diGAY7duxwtm/z\n", "+XxEo1FCoRDBYHDagW+RSIREIjFtG7wQQgghxDzKArrWQcyGiy66iC1btnDWWWfxnve8p9bhCCGW\n", "iGqT9M+OfL1kkucOqeYEWutHgEfGHbtl1ONPAJ+o9r3TsSvMAOl0esYkfXh4GMuyxrSIFwqF/Roa\n", "By+1zPf19bF582YOOeQQXv/611MsFmlqamJgYICenh6CwSBdXV2Uy2WSyaRTwW9ubiYSiez3XubS\n", "diWEEEKIBeSrwLeUUpcCPaOf0FpXvy9ujT344IPccccdvPKVr+TKK6+sdThCiCWkquxOa71mjuOY\n", "VX6/35mwnslkZpzunkqlcLlczjr2AxkaZ092B/jFL35BPp/nxBNPZO/evaxYsQKv18vWrVspFous\n", "XLmSWCxGT08PQ0NDdHV1sXLlyv1OzoUQQgghFqDvjXw9a9xxi0pX5IK3fft2zj33XEKhEN/73vem\n", "3XVHCCFmW12WYL1eL42NlWGiM1XS7b3UI5GI0y6ez+cB9itpttvjTdPkJz/5CW63m3Xr1pFOp0km\n", "k+zbt49sNktzczOxWAzLsujr68Pj8bB69WpJ0IUQQghRLw6tdQAHwzAM1q9fTzKZ5Oabb+bII4+s\n", "dUhCiCWmLpP0hoYGpwpu75NuWdaka7vT6TQwdriTnXDvz11T+z09PT08++yzrF27FqUUxWIRqAyV\n", "i0ajxONxfD4fvb29GIZBW1ubU/UXQgghhFjstNbbAZRSbqAD6F1Mbe5XXHEFTz/9NKeeeir/8A//\n", "UOtwhBBLUN0n6fl8HtM0p0zSM5nMmGnwcGBJerFYxDAMHnvsMSzL4u/+7u+wLIuuri4GBwfp6uqi\n", "q6uL3t5eZ8BcY2Mj4XB42sFwQgixmNkDMRcTe+nSbJvL+SEzLetaaOe1b5DPhZe//OVzct6tW7fO\n", "yXlh7v5/UqsWbaVUFLgR+DCV3zVLSql7gHO01smaBFWlX//611x77bUceuihXHvttfI7mhCiJupy\n", "HHgoFBqzT7qdpI9XKpUoFAoTJqjn83l8Pt9+TUu3k/THH38cgLe85S3O0LlSqURbWxumaVIqlcjl\n", "cvh8PkKhED6f72A+qhBCCCHEQnMDEAZeCYRGfb2hlkHNpLe3l09+8pP4fD7uvPNO2UJTCFEzdVlJ\n", "DwQCzqT2QqFAqVSiXC5PmNSey+UAxrSbl0olTNMcU1mvRqFQYGhoiD/84Q+sXLmSFStWEI1GSSaT\n", "uFwu4vE4+/btI5VKEY1GicVi9Pf3S5IuhBBCiHpzInCo1joz8v3/KaU+BmyrXUjTK5fLfPKTn6Sv\n", "r4+vfe1rvOY1r6l1SEKIJawuK+l+v5+Ghga8Xi+FQmHKSro9IG50km4f25/90YvFIpZl8dRTT5HP\n", "51m3bh0ul4tAIEChUKCxsRGPx0Mmk6FYLBIIBJzzy/ZpQgghhKgzOaBt3LFWIF+DWKpy3XXX8eij\n", "j3LiiSfy2c9+duY3CCHEHKrLDNHj8eD1evH7/WMq6ePl83knmbYdyHr0fD6PYRg89dRTABx33HGE\n", "QiHnXJFIhFwuRyqVcqr8pVIJQCrpQgghhKg3twG/UkpdA+wA1gCfB26tZVBTeeKJJ7j88svp7Ozk\n", "5ptvlnXoQoiaq8sk3ev14vP58Pv9ZDKZSSvplmVRKBRoaGiYsB59fOI+k3w+Ty6X449//CPBYJC1\n", "a9cSjUbp7+/H4/EQCoXo6+sjm83S1NTktMGDJOlCCCGEqDtXAXuB04DOkcdfB+6oZVCTSSQSfPzj\n", "H8eyLG6//XZaWlpqHZIQQtRvku52u2loaGBoaIhcLjchSS8UCliWNaFins/n8fv9+zU0Lp/Po7Wm\n", "u7ubY4891hkIVyqVnLXxQ0NDmKZJPB7H6/U6lXRpdxdCCCFEPRnZbu0OFmBSPpplWZx77rns3LmT\n", "Cy+8kOOOO67WIQkhBFCna9JdLhc+n8+phg8ODk5od7f3Lx9dyS4Wi5TL5f1qdS+XyxQKBZ544gmg\n", "0ure1NQ0ZihdKpUinU4TCoVobGwEKtut2HEKIYQQQtQLpdQNSqk3jzv2ZqXUdbWKaTJ33HEHDz30\n", "EMcddxxf+tKXah2OEEI46jJJh8rwOHsgXCKRmFBJt/ck9fv9zrEDGRqXyWQwDIOnn34agLe97W3E\n", "YrExSfrg4CC5XI5IJDImSZcquhBCCCHq0EeAZ8Yd+x8q7e8Lwl/+8hcuvPBCmpubufXWWyfsACSE\n", "ELVUt1niTEm6XUmfLEnfn0p6JpNh9+7dbNmyhdWrV/PqV78aqGzvFggEGBoaolAo4Pf7CYfDeDwe\n", "LMuiVCrt9zZvQgghhBCLQJmJhSA3sCAmsmUyGc4880wKhQJ33XUXXV1dtQ5JCCHGqOtKejgcBipJ\n", "+mTt7h6PZ8yd02w2i8fjqbqSbpomvb29PPzww5RKJU466SSCwSD5fJ5yuUwmk3FuEMTjcScpt6v4\n", "0uouhBBCiDr0X8AVSik3gFLKA1wK/LamUY340pe+hNaaz372s7zrXe+qdThCCDFBXVfS7dbyoaGh\n", "CUm6YRhjKuaGYWAYBpFIpOpr7Nixg76+Pp588kkAPvrRjwKQTqfp7e0lGo2O2SPdvmkgSboQQggh\n", "6th5wE+BHqXUDmAV0A28p6ZRAffddx933XUXa9eu5dJLL611OEIIMam6TtLthDudTo9pdzcMA8uy\n", "xrS622vIp2t1L5VKpNNpSqUSqVSKF198keHhYbZs2cKRRx7JK17xCgzDYNu2bRQKBdra2li2bBnb\n", "t2/H4/E455YkXQghhBD1Smu9Syn1WuAYYCWwC3hiZOp7zWzbto3zzz+fxsZG7rjjjv2aQSSEEPOp\n", "rtvdo9EoMDFJn2yyezabBZhynfjQ0BDbt2+nr6+PRCLBrl278Pv9PP3005imySmnnEK5XGbXrl2k\n", "02na29vp7OzEMIwJ68/t7dckSRdCCCFEnXIDPsCltX4cCCmlGmsVTLFY5MwzzySVSnHttddy+OGH\n", "1yoUIYSYUV1X0u09yjOZDKZpOs+NHxpnWRaZTAa/3z+mum5LpVL09fXh9Xppbm6mWCximiahUIh7\n", "7rmHYDDI6aefTnd3N+l0mlgsxvLlywHGTHm3SSVdCCGEEPVKKfUq4CdAAVgB3Au8FTgD+FAtYrr0\n", "0kv5wx/+wGmnncaHPlSTEIQQomp1W0n3eDzE43GgkqSPXpM+fvu1dDpNuVx21rBDpdo9MDBAb28v\n", "vb29eDweurq6iMVi5PN5vF4vP/7xj+nv7+fd7343brebXC6H1+slFos5lXM7SR9dSTcMA4/Hg9td\n", "t3/9QgghhFi6vgNcorV+GWCMHHsMeEstgvnFL37BDTfcwBFHHME3v/nNWoQghBD7pW4r6XbVGyqJ\n", "8ugkvVgs4nK5nEp2Op0GcNawl8tl9uzZQ7FYZGBggHw+z9FHH43f7yeXy5HP50kkElxzzTVEIhHe\n", "//73UywWCYVC+P1+SqWSs/48m83i8/nGVM0Nw5i0Yi+EEEIIUQeOAn4w7lgWCE7y2jnV3d3Npz/9\n", "aQKBAHfeeeeYgowQQixUdVvK9Xg8NDU1AThbotmKxaKTNNtbpQUCASdxHhwcpFgs0tjYiNfrxe12\n", "k81msSyLVCpFMpnk/PPPJ5PJ8NGPfpRIJILf76etrY1isUgwGMTlcjlt8aNb3U3TpFwuS6u7EEII\n", "IerVDuD14469AXh+PoMwTZOzzjqLgYEBrrzySo4++uj5vLwQQhywuq2ku1wuotEoLpeLQqHgDGsz\n", "TXNM4mwPlbPvrJZKJYaGhvD7/bjdbmKxGE1NTeRyOfr7+9mzZw+f/exnee655zjllFNYu3YtjY2N\n", "LF++nHw+D7zU2m4PoxudpE82tE4IIYQQoo58BfipUuoWwK+Uuhj4NHDWfAbxta99jf/8z//k5JNP\n", "5qyz5vXSQghxUOo2SQdobGzE5/NRKBScdejjh8aNb3VPJpNYlkUkEmFwcBC/38+qVavYtWsXWms+\n", "//nPo7Xm1FNP5V3vehder5c1a9bg9/sZHBwEmHY9uiTpQgghhKhnWuufKqVOBD4J/IbKPunv11o/\n", "czDnVUqtBO4C2gEL+K7W+ltTvf6SSy5hxYoV3HjjjbhcroO5tBBCzKu6TtLtae3FYtFJjkcnyaZp\n", "ks1maWhowOfzYVkWyWQSr9eLaZpYlkVTUxMul4tQKOQk6O9973udae6HH344ra2twEvrz+0bALlc\n", "Dp/Ph9f70l+zfbNA9uYUQgghRL1RSnkBDRyltf7MLJ/eAD6vtf7jyHZuzyilfqW13jLZi10uF3fc\n", "cYczo0gIIRaLul2TDi8l6YZhOFXt0ZPdx7e6Dw8PY5om4XCY4eFhfD4f0WiUfD7P6aefjtaad7zj\n", "HWzYsIFyuczy5cvp6OgAKgm5/V5gzDZto42v5AshhBBC1AutdQkoMwdD4rTWPVrrP448TgNbgOVT\n", "vf6+++7jjW9842yHIYQQc67uK+mBQIByuUwymaRcLo9Jku32dLvVfWhoCJfLhcvlolwu09LSAsD5\n", "55/Pf//3f/P2t7+dm266CcuyMAyDhoYGJynPZDLAxFb38RVze2idtF0JIZYC0zTn5LxzeaPT/vm9\n", "mNj/ts22ufp7nsstSLdu3Ton512xYsWcnBdg165dc3buGrkWuFcp9TVgF5XWdAC01ttm4wJKqTXA\n", "a4AnpnrN+9//flKp1GxcTggh5lVdJul79uwhHA7j9/udrdAGBwcpl8sYhuG0n9ut7l6vl1QqRbFY\n", "JBqNkkql8Hg8xGIx/u3f/o27776bo48+mssuu4xgMMi+ffswDIOmpiYnSbffY39fKBSAsUPj7Ovb\n", "rxFCCCGEqEM3jnw9YdxxC/Ac7MlHWt3/FThvpKIuhBB1pS6T9EwmQ6FQIBAIOEny4OAgpmliGAbB\n", "YNDZUs1OmBOJBC6XC8uyME2TlpYWstksGzZsIBgMctVVV9HQ0IBhGOTzeQKBAI2Njc72bKVSiXg8\n", "7sSQy+Vwu91jqhD29HdZjy6EEEKIeqW1nrNWCaWUD7gf+KHW+t9mer3dLVnvlsrnhKXzWeVzLm3z\n", "lqSPTPm8jsod1Nu01l8f9/zLgDuptC59WWt9zajntgPDgAkYWutjpruWXRlvbm52kvC+vj4KhQKW\n", "ZeH3+8dMXh+d1KfTaXw+H01NTVxzzTXs27ePL33pSyxfvpxgMEgqlXLOHY1GgUqbPOB8b7fVj1+P\n", "Lkm6EEIIIcSBUUq5gNuBZ7XW11XznqXQ7h6JRJbE54Sl81nlc9af/b0ZMS9JulLKQ6X16e3AHuAp\n", "pdRPxk3jHADOAd43ySks4Hit9WA114tEIgwNDY0Z5JZMJp0WdJ/PRzKZxOPx0NDQwO7du5191F0u\n", "F21tbaTTaa6//npaWlpYv369M2QunU7jcrlobGwkGAxSLBbJZDKEQiEn+baTcbvV3mZff/xxIYQQ\n", "Qggxo2OB04E/KaX+MHLsIq31z2sYkxBCzLr5qqQfA7ygtd4OoJS6B3gvlamcAGit+4A+pdS7pzhH\n", "1ZPW7Ap2sVh0WtATiYRTPXe73RSLRRobG8nlcmSzWbLZLNFolJaWFsLhMLfccgvJZJKvfOUrzlry\n", "YrFIX18fHR0dzlC5/v5+gAmt7jAxGc/n83i93jFbsgkhhBBCiJlprf+LOt+ZSAghYP6S9C4q0z1t\n", "u4G/2Y/3W8BmpZQJ3KK1vnW6FweDQVwuF4ZhEIvFgMr2avl8HpfL5VTNg8EgiUSC/v5+YrEYsViM\n", "pqYmyuUyt9xyC4FAgBNOOIHnn38ewzCcNeYrVqygoaGBdDrtVNFHD4OzK+mjh8YVCgVKpZLTEi+E\n", "EEIIIYQQQow3X0m6NfNLpnWs1rpbKdUG/Eop9ZzW+rdTvdhOpg3DoK2tDaisG8/n8zQ2Njp7pXs8\n", "Hvbu3YtlWTQ1NdHe3g7Ar3/9a1544QVOOeUUAoGA88fr9XLIIYcQjUaxLIv+/n5cLpfzPls+n8fv\n", "94/ZYmb8Fm1CCLFYKaUuotJyWgb+DJyptS7UNiohxEKilFqttd5R6ziEEGIxmq8kfQ+wctT3K6lU\n", "06uite4e+dqnlHqQSvv8lEk6QHt7O4lEglWrVgGVSrrH46G5uRnDMIjH486091WrVnH44Yfj8VR2\n", "BbntttsA+Md//Ec6Ojpoamoin88TCoVYs2YNLpeL/v5+AoEAy5cvp7m52bmuPTAuFouNGRDQ399P\n", "NBpl2bJls74/7FKZiiifs74slc9Zb0b2Jj4LeLnWuqCUuhf4MPD9mgYmhFho/gA0K6XO01pfX+tg\n", "hBBiMZmvJP1p4IiRX+72Ah8CPjLFa8esPVdKhQCP1jqllAoD7wAunemCpVKJdDpNY2MjUKmkJxIJ\n", "YrEYuVyOcDjMCy+8QLFYpKmpiWw2C8Dzzz/PI488wqtf/WqOPPJIZx263++nsbGRdDpNsVhk165d\n", "eL1efD7fmKmEyWTSmRDf29uLx+MhnU6TSCSIx+NORX22LJWpiPI568tS+ZxQlzcjhgEDCI0sQQpR\n", "uRErhFjilFLPAM9QSdDt3zE3AZKkCyHEfpiXJF1rXVJKnQ38gsoWbLdrrbcopT418vwtSqllwFNA\n", "FCgrpc4DjgLagQeUUna8P9Ja/3Kma9pD20KhED6fz9lmzTRNoNKSns1mWbZsmZPIA3z3u98F4MMf\n", "/jDxeJz+/n5nb3V7PXlfXx+WZdHW1obLNXaeXaFQYHBwEMMw8Pl8znGfzzem4i6EEIuR1npQKXUN\n", "sBPIAb/QWm+ucVhCiIXhg8DrgNcDwZEJ7AGl1N8Bz2itkzWNTgghFol5GzOutX4EeGTcsVtGPe5h\n", "bEu8LQ2s3d/reb1e/H4/Ho+HYDBILpcjlUpRLpeBSvs7QFdXl/Oe4eFhfvSjH9He3s7b3vY2vF4v\n", "pmk6e6sHAgGGh4fJZrNEIpExw+Js3d3dZDIZli9fTjgcplwu43K5iMViTju9EEIsVkqpw4DzgTVA\n", "ErhPKXWa1vpHNQ1MCLEQuLXW91H5ufBJKjv5PAecDbxGKVXSWh9R0wiFEGIRqOu9wILBoPNneHiY\n", "vr4+SqUSXq+XRCJBOBx2pr8DfPvb3yadTvOxj32M5uZmp9put7qXy2UGBgZwu920trZOuF6hUKC/\n", "v59IJEJXV9esrz0XQogF4PXAf2utBwCUUg8AbwYkSRdC3K2UWgU8CwSAJqCgtf4AgFKqpZbBCSHE\n", "YlH3SXooFHImqu/btw+AbDaLaZp0dHQ47eo9PT3ceOONNDU1ceqppxKJRBgYGCCXy9HS0kI0GmVg\n", "YIBSqURra+uke53bk+LnYjicEEIsEM8BX1VKBYE88HbgydqGJIRYCLTWxyilfMArgf8CbgAiSqmb\n", "gf8Z+TNQwxCFEGJRqOtMMhwO4/P5nCQ9lUrhcrnIZDK4XC46OzsBME2TzZhiEQAAIABJREFUc889\n", "l+HhYT796U/T1NREIBAgm81SLpcJBoOYpkkymSQQCBCPxydcyzAMBgYG8Pv9k1bZhRCiHmit/xe4\n", "i8pA0D+NHP5u7SISQiwkWmtDa/0HoKi1Xkdl2eJjwJHAN2oZmxBCLBZ1XUl3u920tLTQ1NQEVIbF\n", "xWIxduzYQTwep6GhgXK5zPnnn8/Pf/5zjjvuOD7wgQ/Q2NhINpslm80SCARobGykv79/ymFxAIlE\n", "wjm/PbROCCHqkdb6G8gv20KI6X3efqC1vhe4t4axCCHEolLXlXSAjo4ODj30UAD27NnDnj17sCyL\n", "zs5OLMviwgsv5Pvf/z5r167lmmuuwe12E41GnSTdrsLncjkaGxsJBoMTrmEYhjOIrqmpSVrdhRBC\n", "CLGkaa2/N/Lw0FrGIYQQi1HdZ5Ner5cjjzwSgN27d9PT04PP56Ojo4N/+qd/4jvf+Q5HHXUU9913\n", "H16vd8yWbaVSiVAo5LTJt7RMPu8kkUhQKBSmTOKFEEIIIZYirfVgrWMQQojFpu6TdJfLxaGHHorX\n", "66Wnp4d8Ps/q1avZvHkzl19+OatWreLBBx90qt+xWIxCoUA6nSYQCFAulykUCkSjUfx+/4Tz21X0\n", "crlMOByWVnchhBBCCCGEEAes7pN0gHg8TktLC4ODg4RCIRoaGjjnnHPw+Xzcc889tP5/9u48zJKq\n", "PPz4t6dnX5kZNll0gOCLQhQVxWgShaAx7hqNBhAEjVEj4hKNyw8VIxp3SYxGRVGJgoISjSsQFcSN\n", "ICqg8EaUHRy2GYYZZu/7+6Oq4dJ0Ty9TVX2r+/t5nn763uq67zl1b7/n1qk6dWrHHbnzzjvvudXa\n", "2rVrWb9+PbNnz2bjxo3MmDGDZcuWDRv7jjvuoNPp3DMs3jPpkiRJkqSJmhad9MWLF/OgBz2ITqdD\n", "ZvKmN72JP/zhD7z5zW/mgAMO4JZbbqHT6dwznH3t2rVs3LiRTqfDzJkz2WGHHYa95dqGDRtYs2YN\n", "c+fOZcaMGcyaNWvY9SRJkiRJGotp0aNcvHgx++67LxdddBFve9vb2Lp1K495zGM4/vjjWblyJXff\n", "fTeLFi1i4cKFbNy4kXXr1jFjxgw2b95Mf3//PbPDdxsYGGDlypX09fWxZMkSVq5cyaJFiyZh6yRJ\n", "kiRJU8W0OZO+5557st9++7F161Z22WUXPvnJT7Jy5UrWrFnDvHnz2GWXXQC488472bBhA1u2bGH2\n", "7NksW7bsfrO1DwwMcPPNN7Np0yaWLl1Kp9MBHOouSZIkSdo+0+ZM+rx583ja057GkUceyROe8AT6\n", "+vpYv349ixYtYpdddqGvr48tW7awZs2aezrpixcvZsmSJffE2bp1K3fddRerV69m8+bNLFq0iOXL\n", "l3PzzTcDsGDBgsnaREnqSXXdkvLuu++uJS7AnDlzaok7MDBQS1yA/v7+2mLXoc73YvPmzbXEvf76\n", "62uJC7DbbrvVEve2226rJa4kqV7TopM+c+ZMli5dyurVqzn44IOZP38+W7duZfny5fdMCNfpdLjl\n", "llvYunUr69atY+7cueyyyy50Oh1WrVrFunXr2LBhA8A9E8ktX76cTqfD3XffzZw5c7weXZIkSZK0\n", "XaZNr3LZsmVcc801bN68mWXLlrFgwQI2bNjArbfeysDAABs2bGDTpk2sXbuWvr4+li1bxqxZs7ju\n", "uuvYvHkzfX19zJ8/nwULFrBw4cJ7OuTr169nYGDgntndJUmSJEmaqGnTSd9ll12YO3cuK1euZNmy\n", "Zdx1112sW7eOgYEB+vv7mTt3LvPnz2fz5s3MnDmTPfbYg5tuuomtW7eybNkyli5dOuywzbVr1wIO\n", "dZckSZIkbb9p00nffffdmTNnDps3b2bVqlXMmDGDnXbaiYULFzIwMHDP9XHr169nt912Y+3atWzZ\n", "soWdd975Pteld+t0Oqxdu5ZZs2Y5aZwkSZIkabtNm0764PXnW7ZsYa+99mLRokX3uWXawMAA69ev\n", "B4oJeO6++24WLlw4Ygcd4K677mLr1q3bXEeSJEmSpLGaFrdgg+L2aMuWLaOvr48dd9zxfvc0nzFj\n", "BuvWraPT6bBx48Z7zrRvy+rVq++5T7okSZIkSdtr2nTSAR7wgAewdetWrrvuuvv9bfD2auvWrbtn\n", "NvhtzdZ+5513snHjRhYvXuys7pIkSZKkSkyrTvo+++zDjBkzuPLKK+93j9bVq1ezceNGAGbPns3S\n", "pUtHjLNx40Zuu+02+vv7Wb58ea11liRJkiRNH9Oqk7506VL23HNP7rjjDn74wx/eMzP7+vXrWbVq\n", "FatXr2bBggXsuOOO9PX13e/1nU6HNWvWcOONN9LpdNh5553p7+9vejMkSZIkSVPUtBun/djHPpZ1\n", "69Zx7bXXcscdd7D77rsze/Zs1q5dy+LFi9lhhx3uczu1tWvXsn79etavX8+mTZvodDrMmDGDXXbZ\n", "hYULF07ilkiSJEmSpppp10mfM2cOhx12GJdffjnXXXcdN9xwAzvuuCM77LADO++88z2Txa1fv57b\n", "bruNDRs2AMXEcnPnzmXevHksWbLE69AlSZIkSZWblj3N2bNnc+CBB7LrrruyatUqAPbYYw+WLFnC\n", "li1buP3221mzZg0AS5YsYcmSJcyZM2cyqyxJkiRJmgamZScdijPju+22G3PmzOGOO+7g1ltvZdWq\n", "VWzZsoVOp8PcuXPZaaedmDt37mRXVZIkSZI0TUzbTvqg5cuXM2/ePFatWsWmTZuYO3cuS5Ysud99\n", "1CVJkiRJqtu076QDzJ8/n/nz5092NSRJkiRJ09y0ugWbJEmSJEm9zE66JEmSJEk9orHh7hHxFOAj\n", "QD9wSma+d8jf9wNOBR4BvDUzPzjW10qSJGnqc59Q0nTQyJn0iOgHPgo8BXgo8LcR8ZAhq90OHAd8\n", "YAKvlSRJ0hTmPqGk6aKp4e6PAa7KzGsyczNwBvCs7hUy89bMvBjYPN7XSpIkacpzn1DStNBUJ313\n", "4Pqu5zeUy+p+rSRJkqYG9wklTQtNXZPeafi1fdPpPufTZVvdzqllumzndDdnzpy+muLWEVZTwNy5\n", "cye7CuN22223TXYV2mK8+4TTZn9wumwnTJ9tdTunt6bOpN8I7Nn1fE+Ko591v1aSJElTg/uEkqaF\n", "ps6kXwzsGxErgJuAFwB/O8K6Q8+6jOe1kiRJmprcJ5Q0LfR1OtszEn3sIuKvuPeWGZ/OzPdExN8D\n", "ZOYnImJX4H+BxcAAcBfw0MxcO9xrG6m0JEmSeob7hJKmg8Y66ZIkSZIkaduauiZdkiRJkiSNwk66\n", "JEmSJEk9wk66JEmSJEk9oqnZ3WsREU/h3slDTsnM9w6zzr8CfwXcDbw4M3/RbC2332jbGRFHAG+k\n", "mBn/LuAVmXlp4xXdTmP5PMv1Hg38BPibzPxqg1WszBj/d58IfBiYBdyWmU9sso5VGMP/7o7AfwK7\n", "UrRHH8jMzzZdz+0VEZ8Bngbckpl/PMI6rW+L6jTW/O8VEbEn8HlgZ4p7N38yM/91cms1uojop5gh\n", "+4bMfMZk12c0EbEDcAqwP8X7fGxm/nRyazWyiHgzcCTFBLiXAcdk5sbJrdX007b2ZKLa2g5NVNva\n", "r4loW5u3PaZqezncPmFELAO+BDwIuIaiD7N6W3Faeya9TNSPAk8BHgr8bUQ8ZMg6TwX+KDP3BV4G\n", "fLzxim6nsWwn8HvgzzPzYcA/A59stpbbb4zbObjee4HvcP/b9bXCGP93dwD+HXhGZh4APK/xim6n\n", "MX6mrwJ+kZkHAk8EPhgRbTx4eCrFdg5rKrRFdRpr/veYzcBrM3N/4LHAP7SgzgDHA7+h2Plrg5OB\n", "b2XmQ4CHAVdMcn1GVN4W7O+AR5Y7Zv3ACye1UtNQS9uTiWprOzRRbWu/JqI1bd72mOLt5XD7hG8C\n", "zs3MBwP/Uz7fptZ20oHHAFdl5jWZuRk4A3jWkHWeCXwOIDN/BuwQEbs0W83tNup2ZuZPMvPO8unP\n", "gD0armMVxvJ5AhwHnAXc2mTlKjaWbT0c+Epm3gCQmbc1XMcqjGU7b6a47SLl79szc0uDdaxEZv4Q\n", "WLWNVaZCW1SnseZ/z8jMP2TmL8vHayl2pHab3FptW0TsATyV4ixNzx/kjIglwJ9l5mcAMnNL13dd\n", "L1pD0WmaXx5snA/cOLlVmpZa155MVBvboYlqW/s1ES1s87bHlG0vR9gnvGc/sPz97NHitLmTvjtw\n", "fdfzG8plo63Ttg7sWLaz20uAb9Vao3qMup0RsTvFF+3gWci2Hkkdy2e6L7AsIr4fERdHxIsaq111\n", "xrKdnwL2j4ibgF9RHCWfiqZCW1Sn8bZzPaU8I/AIioOkvezDwBsohha2wV7ArRFxakRcEhGfioj5\n", "k12pkWTmHcAHgeuAm4DVmXne5NZqWmp1ezJRLWqHJqpt7ddEtKrN2x7TsL3cJTNXlo9XAqOeqGlz\n", "J32sHbShR9va1rEbc30j4hDgWOCf6qtObcaynR8B3pSZHYrPta1HUseyrbOAR1IcNf5L4ISI2LfW\n", "WlVvLNv5FuCXmbkbcCDw7xGxqN5qTZq2t0V1au17ERELKUb3HF+eyepJEfF0iuvjfkF72s6ZFO3g\n", "xzLzkcA6xjBEcLJExD7Aa4AVFGczF5ZzxqhZrW1PJqot7dBEtbT9mohWtXnbYzq3l2U/ZtR2qs2d\n", "9BuBPbue70lxtHRb6+xB+4ZSjGU7iYiHUZyVfGZmbmvYba8ay3Y+CjgjIq4G/hr4WEQ8s6H6VWks\n", "23o9cE5mrs/M24ELgIc3VL+qjGU7HwecCZCZvwOuBqKR2jVrKrRFdRpTO9drImIW8BXgPzPzvya7\n", "PqN4HPDMsv08HTg0Ij4/yXUazQ0UE0T9b/n8LIod2F51EPDjzBy8bOerFO+7mtXK9mSiWtYOTVQb\n", "26+JaFubtz2mW3u5MiJ2BYiIBwC3jPaCNnfSLwb2jYgVETEbeAHw9SHrfB04CiAiHksxlGIl7TLq\n", "dkbEAyn+uY/MzKsmoY5VGHU7M3PvzNwrM/eiaLhekZlDP/M2GMv/7teAP42I/nKo08EUk6W0yVi2\n", "80rgMIDyGu2gmAhxqpkKbVGdxvK/0lMiog/4NPCbzPzIZNdnNJn5lszcs2w/Xwh8LzOPmux6bUtm\n", "/gG4PiIeXC46DPj1JFZpNFcCj42IeeX/x2G0r92eClrXnkxU29qhiWpj+zURLWzztsd0ay+/Dhxd\n", "Pj4aGPWAWms76eVRl1cB36X4UL+UmVdExN9HxN+X63wL+H1EXAV8AnjlpFV4gsayncDbgKXAxyPi\n", "FxFx0SRVd8LGuJ1Twhj/d6+kmMH+Uorryz6Vma1qvMb4mb4bOCgifgWcB7yxvE6pVSLidODHxcO4\n", "PiKOnWptUZ1G+l+Z3FqN6vEUt445pGx3fxHFbZ/aoi1Dgo8DvlC2EQ+jaDN6Umb+iuJ2WBdTtN3Q\n", "wruttF1L25OJans7NFFtab8mojVt3vaYyu3lMPuExwD/AjwpIv4POLR8vk19nc5U/j+XJEmSJKk9\n", "WnsmXZIkSZKkqcZOuiRJkiRJPcJOuiRJkiRJPcJOuiRJkiRJPcJOuiRJkiRJPcJOuiRJkiRJPcJO\n", "uiRJkiRJPWLmZFdAGq+IeCDwa2BxZnZqLusaYGfgzMw8uuayDgPOBuYDT87M/6mzPEntVLZL84C9\n", "MvPuctlLgSMy85BJrNq4RMQrgd0z860RcQHwysy8fLLrJakd3B/UVGYnXT2vbBiPzczvAWTmdcCi\n", "horvAE8fLLuszz8Dzwb2A96VmSeOJVDXl0m3BcDrM/PDmXkesCgiri7LlaSRzACOB95TZyERMTMz\n", "t9QU/pHANyJiBhDAb2oqR9IU4P6gphM76WqDDtA32ZXo8lvgDcDLGUfjOfTLJCJWAFcBX6m4fpKm\n", "tg7wAeCNEfGxzLxz6AoRsR/wbxQd4VuBEzLzzPJvPwBOy8xPl89fDLwkM/+sfD4AvAp4LcXBgH0i\n", "4u+ANwLLgAuBl2fmzV3rvwJ4PbAT8IXMfNUYtuMg4J0UHfRrMnNg/G+FpGnE/UFNG3bS1dMi4jTg\n", "gcB/R8RW4ETgLOD3wMzMHCh3OH8IHAo8DPg+cCxwMvB0IIHnZ+a1ZcwRd17HIjM/X8Y5gmG+LCLi\n", "WOAfgV2Bi4CXlQ3yUEcD54/wN0nalouBH1C0NSd0/yEiFgDnAv8P+EuKdvHciLgsM6+k2JkcbYfy\n", "WcCjgfURcSjwbuBJFGe7PwCcATyha/2nUXS6lwA/j4j/zszvDg0aEbOBlRRt50LgV8BsoD8iVgHv\n", "y8xaRwdIah/3BzXdOHGcelpmvgi4jmKI0aLM/MAIq74AOBLYHdgH+AnwaYqzPlcAb4f77Lz+J8UZ\n", "nxcCH4uIh1RR34h4FvBm4DnAjhRfFqcPs14fcBTwuSrKlTTtdIC3AcdFxI5D/vZ04OrM/FxmDmTm\n", "L4GvAn8zjvjvyczVmbkROAL4dGb+MjM3UbRxf1IO2Rz0L5m5JjOvp9gxPnC4oJm5KTOXUpx1/9fy\n", "8YXAn2bmUjvokobj/qCmGzvpmgo6wKmZeXVmrgG+DfxfZn4vM7cCZwKPKNcdaef1+RXV5eUUO7dZ\n", "Dt18D3BgROw5ZL0/pZiA5KyKypU0zWTmr4FvAG/ivmfGHwQcHBGrBn+Aw4FdxhH++q7HDwCu7Sp3\n", "HXA7xU7woD90Pb6b4iz5/UTEGWV9Pg68NCJWA39Bcab/Z+OonyQN5f6gpgyHu2uqWNn1eANwy5Dn\n", "gzuM9+y8dv19JvD5iurxIODkiPjgkOW7c9+d3qOBswZnZpakCXo7cAnQ3eZcRzF08skjvGYdxSRF\n", "g3YdZp3uTv9NwIrBJ+UZqOXAjeOtbGa+sJwo7uay3GcAz8vMo8YbS5KG4f6gpgQ76WqD8c5sua31\n", "R9t5Ha+hZV0H/HNm3m9I06CImAc8j2JGUEmasMz8XUR8iWKm90vLxd8E/iUijgS+VC47ELirvCb9\n", "l8BzI+IUih3Gl3DfM+FDnQ6cHhFfBK6kuD79p9u4fnK0iZ0eAvwuMzsR8SiK6+slaTTuD2racLi7\n", "2mAlxXVF29I3wuOhvgk8OCKOjIhZ5c+jy8lDxiQiZkbEXKAfmBURc8szQwD/AbwlIh5arrskIoYO\n", "nXoOcEdm/mCsZUrSNryT4n66HYDMvAt4MsU1ljdSnLV+D8UEbQAfBjZRtK2nUlyT2b2DeZ+dzfIe\n", "vSdQzDx8E7BXGXvY9Rl9YrpHAj8vHz+i67EkbYv7g5o2PJOuNngP8G8R8T7gnymuGRpup7D78bB/\n", "z8y7IuLJwIfKnxkUZ5Vet43yhzbyp1BM8jHorcCLgc9n5n9FxELgjIh4EHAncA7FdVCDjgJO20Z5\n", "kjSizNxryPMbgHlDlv0fxTWXw73+dopZ37ud2PX3/mFe8wngEyPE6x/y/JhtVJ/MPI2yDczMZ25r\n", "XUnq4v6gpo2+Tme8I0ek6SMirqSYNOmro+14VlDWX1BMHDIbeGpmnl9neZIkSRqd+4Nqmp10SZIk\n", "SZJ6hNekS5IkSZLUI+ykS5IkSZLUI+ykS5IkSZLUI+ykS5IkSZLUI+ykS5IkSZLUI+ykS5IkSZLU\n", "I+ykS5IkSZLUI2ZWESQingh8r2vRALAGuBH4OXB6Zn63irIkTa5h8n2orZk5q6HqSJqAMeTxYzPz\n", "ooaqI6kBETEXOBZ4HnAAsAOwDvgtRXtwambm5NVQ0qBKOuldvgh8C+gDFgH7Ac8GjoqI84DnZ+ad\n", "FZcpaXIM5vtQA01XRNKEjZTHv2u6IpLqExF7A9+g2Df/AfAh4GZgIfAIis77P0bEnpl582TVU1Kh\n", "6k76JZn5xe4FEfE64H3A64DTgadWXKakyXG/fJfUOuaxNMVFxDzgm8BewHMy82vDrDMHeE3TdZM0\n", "vKo76feTmQMUR+YeAzwlIh6fmT+qu1xJkiRJvBQI4KThOugAmbkReG+jtZI0oto76V0+Dfwp8DTA\n", "TrrUfgsiYsdhlm/MzLsar42kiRgujzdk5tpJqY2kOjwP6ACnTHZFJI1Nk530y8rf+zZYpqT6nFj+\n", "DPUN4JkN10XSxAyXx2cAh09CXSTV4wBgTWZe270wImYAy4asuzYzNzRWM0nDarKTvqb8vbjBMiXV\n", "5xPAmcMsv7XpikiasOHy+A+TURFJtVkM3DTM8ocClw5Z9gbgg7XXSNI2NdlJH+ycr9nmWpLa4reZ\n", "ua1bOEnqfeaxNPWtYfiTZL8HDisfHwh8gGJYvKRJ1mQn/WHlb++/KEmSJDXjcuDPImJFZl4zuDAz\n", "76a4PzoR4e1TpR4yo8GyXlL+/maDZUqSJEnT2eAlLS+d1FpIGrPaO+kR0R8RHwAeD3wzM39Sd5mS\n", "JEmSgGJW9yuBN0TEs0dYp6/B+kgaRdXD3R8VEUeWjxdR3JPx2cADge/ibLHSVNKd70OdnZnrGq2N\n", "JEm6n8zcEBFPo7j7ylcj4gfAuRSTRC4G9gNeAGwBrp+sekq6V1Wd9MFJJl4I/C0wAKylSPTvA6dn\n", "5jkVlSVpcg3N9+H+/mOKCWkkSdIky8yrI+JRwLEU901/HbAEWAf8Fvgk8OnM/O3k1VLSoL5Ox0kc\n", "JUmSJEnqBU3O7q4RRMQKirOO+2Xm/9VUxhMpZvCcm5mb6ihjsjTx/o2xHmcC52bmJxss81TgV5n5\n", "kabKnKrMw+0znfNwspj/Y2d+bx/ze/uYq2Nnrm4fc7V5deW3nfRxiojPAkeVTzcBVwMfy8x/246w\n", "1wG7ArdtX+0KEXEGsD4zj+la/CNg16nWGPWKiHg48KeU8y5ExFzgbuCJmXnBdsR9FPDvwMOBG4F3\n", "Zubnu1Z5P/C9iPiPzNww0XLaxjzUcOrKwyFlLAXeBTwJ2AO4GTgNeFdmbinXWcH9L/foADtl5h1j\n", "LOcdwNuG+dNvMvOA8vGUzH/zW8OpI7/Lzto/AgcB8yluVfa2zDxvHDHegbkK5qpKdX8XR8RjKD7D\n", "izPzT7ax3gpa/F3c5C3YpooO8F8UDci+wL8BH4mI4a7NJSJmjRYwMwcy85bMrO0elZm5OTNvqSv+\n", "ZBnL+9uQlwNnZubmIcsnPFtq2Rn4LnAp8AiKRuCUiDh0cJ3M/A1FJ+E5Ey2npczDHjKV83AYuwE7\n", "Aq8G9i9/vxw4cZh1/5Tif3RX4AFj3Skovb/rtbsCuwMrgbMGV5jC+W9+95Apnt+PBS4CngkcCPwP\n", "8I2I2H8cMcxVc7UnTPFcBSAiFgCfoxgJMdZrtlv5XeyZ9PHrAzZ2JffHIuJZwNOB08sZMy8BFgB/\n", "Q9F4HVM2WO8AVgDXUJwR/QIMPzSlPLr7L8DDKD74TwP/MthoRcSOwAeBpwFzKY7+vpRiMpC/Kdc5\n", "muIfeC9gb4YM7YmI1wCvofinuxJ44+AEf11DgQ4FTgb2AX4GvDgzR5z5c5TtvJhi1u+TutZ/IvAd\n", "YJfMvLN8Lz5clrse+Dbw2sxcXa4/3Pv7jiF1eDDwIeDR5XvzC+A1mfnLIe/3C4F/Ah5arnNMZma5\n", "zoHAv1J0jrcCVwCHZ+bVw2xzH/DXQPdM51eWv78fEQA/yMxDh752FEcAm4G/z8wOcGVE/BlwPMVn\n", "M+gbFLOynj7O+G1mHpqHQ7e5rjy8j8z8NUW+Dbq6vM3oMcBbh6x++0g7ghExAziBYhKn5cBlwOsz\n", "88dlOesoJnQaXP9JwM7AZ4eEmor5b36b30O3uZb8zsx/GbLohIh4DvBU4Ndl2ebqyMxVc3XoNtf9\n", "Xfyhcjs3AE8Z42ta+V3smfSJGXrkZiMwu+v531HMbH8Q8M6IOJhiOOQnKM68fAz4bEQ8frjgEbEv\n", "8HXgM+X6fw+8jOKMzaCvcu8t7v6YonHqpzji8zXgS5RHjIAbhinjBcC7gbeXr/8W8PUyWbudSHFE\n", "7LEUt+k4ebg6lzFH284vUjQC3V4IfKdsjGZRnDm+HngM8JfAntw/Ee7z/nL/I3MLKN6fJ1I0SldS\n", "HBmfN2S9d1PsVB8E3F6+ZtAXgJ9QfCEcTDHkfKSjukFxZu3nXcsGt/m5FJ/DcwEi4i0Rcde2frpi\n", "PBb4ftlBH3ReubzbxRRHCacb83D4epuH96oiD8dih7LuQ50TETdHxHnD/J+dQPF/cxTFZ/9V4LsR\n", "sfsIZRwLnJ+Z1wxZPlXz3/wevt7m970qz+9yh30R981nc3XbzNXh622u3quSXI2Ip1O8928bZju3\n", "pZXfxZ5Jn5g+uOdo0ZPLn9d1/f2XmfmuwScR8W7g65n5oXLRyRHxuPI1Pxom/psoboMxONnC1RHx\n", "rnL9j0TEIRRJsndm3ji4Tld5G4EN3UeNyiNX3V4D/Edmfq58/paI+AvgOOD13XXJzJ+UMT5E0ciM\n", "5DWjbOeXgfdHxP6Z+euImEmRqMeV678QuDsz72l4I+LlwP9FxE6ZeWu5eOj7u6K7Epn5C4qjgIN/\n", "fyXFrcIeT9HJHfShzPxOuc4xwA0RcVgW16LtAXyz6yhhbmO796U4ktz9pT74+I4hR+8+DpyxjVjd\n", "dgJ+M2TZLeXybtcByyJiaWauGmPsqcA8HJ55eK8q8nCbImJv4FXAP3QtvotiB/LHFN+zL6E4g3BQ\n", "Zl4axfV5bwAel5mXlq95f0Q8k2IEzfuGlLED8CyKHdOhpmr+m9/DM7/vVUd+v5bibONXyzqbq6Mz\n", "V4dnrt5ru3M1InYu139GZm4e5jMcTqu/i+2kT8xfl0d3ZlEcQfx4+UP5/OdD1g+KI2bdfszwHzIU\n", "R6oOiIiXdi3r596RDwcAv+9qjIYayzUaQXGksduPgP2GLLu06/EfgCURMTPLCZKGiTnidmbmDRFx\n", "IUXDcwLwFxQTtXy9XPdhwP7DHOXuUAwtupXh39/7ViJiIcXRxL+iOGraX5az55BVLxp8kJm3RcTv\n", "gIdQNFr/CnwnIs4rn385M/8wQpGLgbXbqlNXOauAqr+cB9+vJTXE7mXmoXnYrfE8jIidgG+W9fpC\n", "V/zbgY92rXpRFEMOj6M467EPxXvxoyE7GnMoh9gOcTjFpExnDfNWsm1ZAAAgAElEQVS3qZr/5rf5\n", "3a32/I6IZ1OcKX3G4HBizNWxMFfN1W515eongU9kOUx/jPFb/V1sJ31ivkNxhGwjcNOQ4chQzGC4\n", "PRZQDKHZntsWjHUyhW59w7yue9KHwb9tz2USZ1AcqT6B4tqNr2Xm+vJvCykasGOHed1NXY9He3/f\n", "TzGs5w0U19lspBimM3RCjRHfo8w8ISK+SHF903OAd0XEkzLzZ8Osvqas+6gi4i3Am7e1TmYuKh/e\n", "QjEsqNvOFA1zt8H114ylDlOIeThx5uG287CTmYtHibEMOBf4FcXwy9FcTHE9H131/AvuP4PxcHl8\n", "DMVO0XCzxk7V/De/J878Hmd+R8RfAf8JHJGZ3+/6k7k6OnN14szVse8TPwF4WkS8vXw+A+iLiM3A\n", "IzPzsrGUSYu+i+2kj18HWJeZQ6f035YrKYaVfKBr2eO5/1DmQb8EHrqNMi4D9o6IPTLzftfWUBzl\n", "Ge2zHaxT99GgxwPnj/K6scTc1naeRTHk50+49xqQQb8ol93c1UhNxOOBT2XmNwAiYg+KySCGOpjy\n", "CGQUk47szb2TW5CZV1BMjvGBiPgfiiNowzVIvwPmRMSyvHfGyC0U/yv9Q9YdzzC8nwL/LyL6ur70\n", "DqNoXLs9EFiV45utsu3Mw9FjmofV5OH9lEPezqWYCOiIYXZKh/Nw7h2CeQXF/8cemXnRyC+BiDgA\n", "eBT3DoEcairmv/k9ekzzu6L8jmIiqDOBl2bm14b82VzdNnN19JjmajW5+tghr/+HctsOL8scq9Z8\n", "F9tJH7/RJiroG2adjwA/jojXUcz+91SKI1FPGCHG+4CfRMR7KSad2Epxa5AVmfmezPxBRPwv8JWI\n", "eD3FTJePAjIzf0Wx4/i8iNiLYvjFcBMafRj4XET8kqLTdwzFhAnPH2X7tmXU7czMWyPiexQTaXQo\n", "jsAO+gLFzJJfiYgTKY5q7Qs8OzNfXq4z3Ps71O+A50fEORTXlr2fYhbIoV5TDue5AXgPxXCpc6OY\n", "TON9FNcLXUcxHGZ/ii/x4VwB3EEx2cY55XZuiYgbgCdHxG8oroe6c5xDe75IMUvnf0TEyRQTUvwN\n", "xeQh3Q4CLhxjzKnCPByZeVhhHkYxecz/AC/KzP+NiMVl/M0U17rtNDhMbnD4XxSzCK+nOMs+k+Jz\n", "fSLlpI+ZuabM6Y9GMTnQ/1JMtPNk4IK8731kjy1ekj8doYpTMf/N75GZ39Xm9yEUE4udSHGt6uDo\n", "tbszc425OipzdWTmaoW5mpn3uQ4+Im4F1mdx+7PBZa+ieH8OK5+3+rvY2d3Hr8O2h83c7+/l0ZkX\n", "UVyHchnFzJBHZzm9/1Dl9RaHUszC+DOKBuM4ioZm0HOA3wL/TfHP9xruHYbzcYp7+F1W/h687uSe\n", "emXmmRRDTE4s13sK8MzMvHbItgy3fcMax3aeTnEN0Vey6zqeLG5z8OfAaoqZNS+luNVC9xCUkd7/\n", "7mWvoxjOc1FZ1n9QDB0f6gSKhujnFEn51+XyLRRHGb9AMTnGqcAnM/M/RtjuDkVj9fQhf3otRaf6\n", "BuDs4V67LWXj9RSKo36XAG8EXjJkKB4Uw4++PN74LWcejsA8rDYPKYYE7gsMzoT7SIov40dT/C/c\n", "VP50Xw/ZoZgl+BLgAoodxidn5iVd67yJ4n19F8VOzdkU1yDeE6fcaTiCYttHMhXz3/wegfldeX4f\n", "RXH96XsoOneD+fyRrnXM1ZGZqyMwVyvP1aGG2/blFCMAutdp7XdxX6czkcs0VKUoTsNcAeyZI098\n", "oYrEMPfgrCDmwymOgD4oy3tuNiEiHgp8vyx3uCOjGiPzsFlTKQ8ni/k/duZ3s8zv+zJXx85cbZa5\n", "uv3qym/PpE+y8trG51AMDbl5kqujCSqHVP0QOLrhot8AvMcv/e1jHk4Nk5iHk8X8HwPze2poeX6b\n", "q2Ngrk4NLc/Viaglv70mffJ9mGIYzyszc2CyKzONVD6EJDP/puqYYyjzmKbLnKLMw8kxJfJwspj/\n", "Y2Z+Tw7zu2Sujpm5OjnM1e1QV3473F2SJEmSpB7hcHdJkiRJknrElBzu3tfXV/nwgN//fjy3gJxc\n", "11577egrjdOaNWsqj3nBBReMvtI4LV8+3K0ft88rX/nKymMCXHrppZXHvPDC6u/u8uY3v3m023vU\n", "oo483rhxY9Uhufrqq0dfaQIWLFhQeczFixdXHvPWW2+tPOaSJUsqj7lly5bRV5qAgYHqR2TOmjWr\n", "8pg77bRT43lcRw7XMfqvrhGFfX3Vv+V11LWOem7durXymDNmTO/zSn11fFCjl9mKHK4r7iS85T3F\n", "97QWY34DpneLJ0mSJElSD7GTLkmSJElSj7CTLkmSJElSj7CTLkmSJElSj7CTLkmSJElSj2jN7O4R\n", "8RTgI0A/cEpmvneSqyRpnMxjqd3MYandzGGpHVpxJj0i+oGPAk8BHgr8bUQ8ZHJrJWk8zGOp3cxh\n", "qd3MYak9WtFJBx4DXJWZ12TmZuAM4FmTXCdJ42MeS+1mDkvtZg5LLdGWTvruwPVdz28ol0lqD/NY\n", "ajdzWGo3c1hqibZ00juTXQFJ2808ltrNHJbazRyWWqItnfQbgT27nu9JcfRPUnuYx1K7mcNSu5nD\n", "Uku0ZXb3i4F9I2IFcBPwAuBvJ7VGksbLPJbazRyW2s0cllqiFWfSM3ML8Crgu8BvgC9l5hWTWytJ\n", "42EeS+1mDkvtZg5L7dGWM+lk5reBb092PSRNnHkstZs5LLWbOSy1QyvOpEuSJEmSNB3YSZckSZIk\n", "qUfYSZckSZIkqUfYSZckSZIkqUfYSZckSZIkqUe0Znb38fj9739fecy999678pgnn3xy5TEBjj32\n", "2MpjXnvttZXH7HQ6lcdcuXJl5THvuuuuymMCHHDAAZXHHBgYqDzmZNm4cWPlMefMmVN5zKOPPrry\n", "mACnn3565TFnzKj+uOz8+fMrj7lmzZrKY9bx2UM9Obd169bKY9aRT6Opo43v6+urPGYd9awrblti\n", "1vE5bdq0qfKYADNnVr8rXMd7Wkc9R9OW/w2Y3rlRlzbVtQ51fBf39/ePeV3PpEuSJEmS1CPspEuS\n", "JEmS1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS\n", "1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CPs\n", "pEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CPspEuSJEmS1CMa6aRHxD+OsPx1TZQv\n", "SZIkSVIbzGyonLcDHxhm+QnAhxqqw3Y5+eSTK495/PHHVx4T4LLLLqs85rHHHlt5zEMOOaTymCee\n", "eGLlMU899dTKYwIcfvjhlcc84ogjKo85Wa6++urKYx599NGVx/zc5z5XeUyo57O8/PLLK4+5Zs2a\n", "ymM+/OEPrzzmjTfeWHlMgEWLFtUSdyrodDqtiNnX11d5TICBgYFa4lbtzjvvrDzm7NmzK485a9as\n", "ymMC/PSnP6085oEHHlh5zJkzm9plv1dbchjqyeM2bX8d6mobq1bXe9rf319L3LGqNeMj4lCgD+gv\n", "H3fbB6h+706SJEmSpJaq+7DcZ4AOMAf4dNfyDrASOK7m8iVJkiRJao1aO+mZuQIgIk7LzBfVWZYk\n", "SZIkSW3X1OzuR3U/iYhDIuIJDZUtSZIkSVIrNNVJPz8iHg8QEf8EnAGcHhFvbah8SZIkSZJ6XlOd\n", "9P2BwekzXwYcChwMvLyh8iVJkiRJ6nlN3c9hBkBE7AOQmb+OiD5g6VgDRMSewOeBnSkmnvtkZv5r\n", "DXWVVANzWGo3c1hqP/NYaoemzqT/CPgo8EHg7HLZPsCt44ixGXhtZu4PPBb4h4h4SKW1lFQnc1hq\n", "N3NYaj/zWGqBpjrpLwZWA78C3lEu2w84eawBMvMPmfnL8vFa4Apgt0prKak25rDUbuaw1H7msdQO\n", "jQx3z8zbgDcPWfaNicaLiBXAI4CfbV/NJE0Gc1hqN3NYaj/zWOpdTV2TTkQcCPw5sBzoG1yemW8b\n", "Z5yFwFnA8eURQEktYg5L7WYOS+1nHku9rZHh7hHxMorr0g8B3gT8MfB64I/GGWcW8BXgPzPzv6qu\n", "p6R6mcNSu5nDUvuZx1Lva+qa9H8C/ioznwPcXf5+HrBlrAHK2eA/DfwmMz9STzUl1cUcltrNHJba\n", "zzyW2qGp4e47ZeYF5eOBiOgHvgN8cRwxHg8cCVwaEb8ol705M79TYT0l1cccltrNHJbazzyWWqCp\n", "TvoNEbFXZl4N/BZ4FnAbsHGsATLzQpo78y+pYuaw1G7msNR+5rHUDk110t8PPAS4GjiR4jqY2cCr\n", "GypfkiRJkqSe19Qt2E7tevztiFgKzM7Mu5ooX5IkSZKkNmjyFmxLgacBDwBuAr7VVNmSJEmSJLVB\n", "U7dgO5RiqPtxwKMphrlfExGHNVG+JEmSJElt0NSZ9H8HXpaZXx5cEBHPBz4K7NdQHSRJkiRJ6mlN\n", "ze74AIrJ4rr9F7BrQ+VLkiRJktTzmjqTfhrwKuDkrmWvKJdX7tprr6085rHHHlt5zMsuu6zymACn\n", "nHJK5TEvvPDCymMefvjhlcc86aSTKo/53Oc+t/KYAO985zsrj3nOOedUHvO///u/K485FgsWLKg8\n", "5umnn155zCOOOKLymABf+MIXKo9Zx3va19dXeczrrruu8phz586tPCbApk2bKo9Zx3s6GerYjk6n\n", "U3nMgYGBymMCzJhR/XmQzZs3Vx5z3rx5lcfcbbfdKo951VVXVR4TYOedd648ZkRUHvOGG26oPOZo\n", "2pLDdcVt0/bXoS3vaV3fmXW0t7NmzRrzuk110h8JvDwi3gjcCOwO7Az8LCJ+WK7Tycw/b6g+kiRJ\n", "kiT1nKY66Z8qf7alPYeWJEmSJEmqQVP3Sf9sE+VIkiRJktRmTU0cJ0mSJEmSRmEnXZIkSZKkHmEn\n", "XZIkSZKkHmEnXZIkSZKkHtHIxHERMRd4G/BCYMfMXBwRTwYenJkfbaIOkiRJkiT1uqbOpH8YOAA4\n", "Ahgol/0aeGVD5UuSJEmS1POa6qQ/Bzg8M39CeT/0zLwR2L2h8iVJkiRJ6nlNddI3MmRofUTsBNzW\n", "UPmSJEmSJPW8pjrpZwKfjYi9ASLiAcBHgTMaKl+SJEmSpJ7XVCf9rcDVwKXAEuAq4GbgnQ2VL0mS\n", "JElSz2tkdvfM3Ai8NiJeB+wE3JaZA6O8TJIkSZKkaaWRTjpARCwBAlhYPgcgM7/XVB0kSZIkSepl\n", "Td0n/cXAvwNrgbuH/HmvJuogSZIkSVKva+pM+ruB52XmtxsqT5IkSZKk1mlq4rh+4JyGypIkSZIk\n", "qZWa6qS/FzghIpoqT5IkSZKk1qltuHtEXD9k0a7AGyPi9q5lncx8YF11kCRJkiSpTeq8Jv1FY1in\n", "U0fBa9asqTzmtddeW3nMY489tvKYABdeeGHlMa+88srKY375y1+uPOYznvGMymMedNBBlccEOP/8\n", "8yuPed5551Uec7IsXry48pgzZlQ/mOfyyy+vPCbAggULKo+5bt26ymP29/dXHrPTqf6roY5tB+jr\n", "66s8Zh3bPxnq2I42vTebN2+uPOasWbMqj7lq1arKY1500UWVx9x1110rjwnwta99rfKYp59+euUx\n", "p4o62kxoT3tTx/YPDNRzV+u2fL/V9b0wc2ZjN0Ebvvy6AmfmDwYfR8TzM/PMoetExPPqKl+SJEmS\n", "pLZp6hrxz4yw/FMNlS9JkiRJUs+r9Tx+ROwN9AF95eNu+wDr6yxfkiRJkqQ2qXuw/VUjPAZYCbyj\n", "5vIlSZIkSWqNWjvpmTkDICIuyMw/r7MsSZIkSZLarpFp66rqoEdEP3AxcENmVj+Nt6RamcNS+5nH\n", "UruZw1Lva2riuKocD/yGmm7dJql25rDUfuax1G7msNTjWtNJj4g9gKcCp1BMRiepRcxhqf3MY6nd\n", "zGGpHVrTSQc+DLwBGJjsikiaEHNYaj/zWGo3c1hqgcY76RExo/tnjK95OnBLZv4Cj/pJrWMOS+1n\n", "HkvtZg5L7dFIJz0iHhURP4mIu4EtXT+bxxjiccAzI+Jq4HTg0Ij4fD21lVQDc1hqP/NYajdzWGqJ\n", "RmZ3Bz4HfB14CXD3eF+cmW8B3gIQEU8A/jEzj6q0hpJqYw5L7WceS+1mDkvt0VQn/YHAWzOzqlkk\n", "nY1SajdzWGo/81hqN3NY6lFNddLPBv4S+M72BsrM84Hzt7tGkiaFOSy1n3kstZs5LPW2pjrp84Cz\n", "I+KHwMqu5R2H2UiSJEmSVGiqk/6b8mcoh9lIkiRJklRqpJOeme9oohxJkiRJktqstk56RPx5Zl5Q\n", "Pj50pPUy83t11UGSJEmSpDap80z6x4ADysefYeSh7XvVWAdJkiRJklqjtk56Zh7Q9XhFXeVIkiRJ\n", "kjRVNDVxXKMuuOCCymN2OtXPcXfIIYdUHhPg8MMPrzzml7/85cpjXn755ZXHPOmkkyqP+dnPfrby\n", "mADXXntt5THPPvvsymNOlltvvbXymPPnz6885po1ayqPCdDX11d5zP7+/spjbt26tfKYM2dW/9VU\n", "RxtelxkzZkx2FSpRx/9wHZ/jnXfeWXlMgHnz5lUec9WqVZXHXLp0aeUxV69eXXnMtWvXVh4T4BWv\n", "eEXlMd/97ndXHlNTw8DAQOUx6/rOqKOudajr+72O/ZtZs2aNed2psScgSZIkSdIUYCddkiRJkqQe\n", "YSddkiRJkqQe0cg16RGxM7A+M++KiJnAUcBW4LTMbMcFD5IkSZIk1aypM+nfAP6ofHwS8HrgtcCH\n", "GipfkiRJkqSe19Ts7vsCvywfHwk8DrgL+A3wmobqIEmSJElST2vqTPpWYE5E/DGwOjOvBe4EFjZU\n", "viRJkiRJPa+pM+nfAb4MLAe+VC57KHBDQ+VLkiRJktTzmuqkvxQ4GtgEnFYuWw68o6HyJUmSJEnq\n", "eY100jNzA/CJiJgBLI+I2zLzB02ULUmSJElSWzRyTXpELI2I04D1wEpgQ0T8Z0Qsa6J8SZIkSZLa\n", "oKmJ404F5gEHAovK33PK5ZIkSZIkieauST8EeEBm3l0+vyIijgZubqh8SZIkSZJ6XlNn0q8EVgxZ\n", "9qByuSRJkiRJorkz6d8DzomIzwPXAw8EjgROi4hjgT6gk5mfaag+kiRJkiT1nKY66X8CXFX+/pNy\n", "2e+GPAewky5JkiRJmraaugXbE5soR5IkSZKkNmvqTDoRsRx4GrBrZr4vInYH+jLzhqbqIEmSJElS\n", "L2vqPulPABI4HDihXLwv8PEmypckSZIkqQ2amt39ZOCFmfkUYEu57KfAwQ2VL0mSJElSz2tquPuD\n", "MvO8Ics2A/11FLZ8+fLKY65cubLymCeeeGLlMQFOOumkymM+4xnPqDxmHfU866yzKo8ZEZXHBPjU\n", "pz5VecyDD546x72WLFlSecw1a9ZUHvPhD3945TEBrrvuuspjdjqdymPOnFn918iWLVtGX2mcZsyo\n", "55j0wMBA5THr+Jwmw9atWyuP2dfXV3nM2bNnVx4TYLfddqs85kUXXVR5zNWrV1cec4cddqg85rnn\n", "nlt5TIDjjjuu8pgrVqyoPOb69esrjzmaOtqiOnK4rrht2f46voegnu/NOr7f6zLZ38VNnUm/IiKe\n", "MmTZXwCXNVS+JEmSJEk9r6kz6a8DvhER3wLmRsQngWcAz2qofEmSJEmSel4jZ9Iz86fAw4FfA6cC\n", "vwcenZnVj9uSJEmSJKmlGjmTHhH/mJkfAN47ZPnrMvNDTdRBkiRJkqRe19Q16W8fYfkJIyyXJEmS\n", "JGnaqfVMekQcCvQB/eXjbvsAY55qOSJ2AE4B9gc6wLHlMHpJLWEeS+1mDkvtZg5L7VD3cPfPUDQA\n", "c4BPdy3vACuB8dz34mTgW5n5vIiYCSyorJaSmmIeS+1mDkvtZg5LLVBrJz0zVwBExGmZ+aKJxomI\n", "JcCfZebRZdwtwJ2VVFJSI8xjqd3MYandzGGpPZq6BdtR3U8i4hBgIDPPH+Pr9wJujYhTKWaJ/zlw\n", "fGbeXW01JdXIPJbazRyW2s0cllqiqYnjzo+IxwNExD8BZwCnR8Rbx/j6mcAjgY9l5iOBdcCbaqmp\n", "pLqYx1K7mcNSu5nDUks01UnfHxiclOJlwKHAwcDLx/j6G4AbMvN/y+dnUTQyktrDPJbazRyW2s0c\n", "llqiqU76DICI2AcgM39N0VAsHcuLM/MPwPUR8eBy0WHAr2uop6SamMdSu5nDUruZw1J7NHVN+o+A\n", "jwIPAM4ul+0D3DqOGMcBX4iI2cDvgGMqraGkJpjHUruZw1K7mcNSCzTVSX8x8HrgFuD95bKguA3E\n", "mGTmr4BHV14zSY0xj6V2M4eldjOHpXZopJOembcBbx6y7JtNlC1JkiRJUls0dU36PSJiTdNlSpIk\n", "SZLUBo130oG+SShTkiRJkqSeZyddkiRJkqQeMRmd9IdMQpmSJEmSJPW8pmZ3JyIeAjwf2AX4h4jY\n", "D5idmZc2VQdJkiRJknpZI530iHg+8DHgq8DhwD8Ai4D3AIdVXd4rX/nKqkNy1113VR7z1FNPrTwm\n", "wHOf+9zKYx500EGVx/zsZz9becyIqDzmSSedVHlMgEsuuaTymK9+9asrjzlZtmzZUnnMOXPmVB7z\n", "xhtvrDwmwNy5cyuPuW7duspjdjqdymPOmFH9IK+BgYHKY2rb6vgcN23aVHnMWbNmVR4T4Kqrrqo8\n", "5q677lp5zLVr11Ye89xzz6085pOe9KTKYwKceeaZlcc8+eQx32G4p/X1Te8rVOvY/jq+M+tSx37Y\n", "zJnVdz03b95ceUyY/M+qqeHu/ww8KTP/Hhj8xH8JHNhQ+ZIkSZIk9bymOuk7AcMNa/fUhiRJkiRJ\n", "paY66ZcALxqy7AXARQ2VL0mSJElSz2tq4rjjgHMj4iXA/Ig4B3gw8OSGypckSZIkqec10knPzCvL\n", "2dyfDnwDuA74ZmZWPxubJEmSJEkt1dgt2DJzHfClpsqTJEmSJKltmroF24OAtwOPABZ2/amTmQ9u\n", "og6SJEmSJPW6ps6knwlcAZwAbGioTEmSJEmSWqWpTnoAf5KZWxsqT5IkSZKk1mnqFmzfAJ7QUFmS\n", "JEmSJLVSU2fSjwd+EhH/B9zStbyTmcc2VAdJkiRJknpaU530zwCbKK5L3wB0gL7ytyRJkiRJorlO\n", "+iHA7pm5pqHyJEmSJElqnaauSb8UWN5QWZIkSZIktVJTZ9K/B3w3Ik4FVpbL+iiuSf9MQ3WQJEmS\n", "JKmnNdVJ/zPgJuDJw/zNTrokSZIkSTTUSc/MJzZRjiRJkiRJbVZbJz0i+jKzUz4e8dr3zByoqw6S\n", "JEmSJLVJnWfS1wCLysdbRlinA/TXWAdJkiRJklqjzk76/l2P966xHEmSJEmSpoTaOumZeV3X0+dl\n", "5geGrhMRrwM+VFcdJEmSJElqk6Zmd387cL9OOnACNXTSL7300qpDcsABB1Qe8/DDD688JsA73/nO\n", "ymOef/75lce89tprK4/5qU99qvKYl1xySeUxAb797W9XHvOKK66oPObVV19decyxGBiofrqKOmIu\n", "WrRo9JUmYNOmTZXH7OvrqzxmHer4nDQ1zJxZ/W7LT3/608pjAuy8886Vx/za175WecxXvOIVlcc8\n", "7rjjKo955plnVh4T4PnPf37lMW+88cbKY2rbOp1O5THr+M6so551xKzL5s2bK485a9asymMCbNiw\n", "oZa4Y1VrJz0iDqW4H3p/+bjbPhTXrUuSJEmSJOo/k/4Zisnh5gCf7lreAVYC1R9qlSRJkiSppWrt\n", "pGfmCoCIOC0zX1RnWZIkSZIktd2I9y+vkh10SZIkSZJG19TEcdstIt4MHAkMAJcBx2TmxsmtlaTx\n", "MI+ldjOHpXYzh6V2aORM+vaKiBXA3wGPzMw/BvqBF05qpSSNi3kstZs5LLWbOSy1R1vOpK8BNgPz\n", "I2IrMB/w/hZSu5jHUruZw1K7mcNSS7TiTHpm3gF8ELgOuAlYnZnnTW6tJI2HeSy1mzkstZs5LLVH\n", "KzrpEbEP8BpgBbAbsDAijpjUSkkaF/NYajdzWGo3c1hqj1Z00oGDgB9n5u2ZuQX4KvC4Sa6TpPEx\n", "j6V2M4eldjOHpZZoyzXpVwInRMQ8YANwGHDR5FZJ0jiZx1K7mcNSu5nDUku04kx6Zv4K+DxwMXBp\n", "ufiTk1cjSeNlHkvtZg5L7WYOS+3RljPpZOb7gPdNdj0kTZx5LLWbOSy1mzkstUMrzqRLkiRJkjQd\n", "2EmXJEmSJKlH2EmXJEmSJKlH2EmXJEmSJKlH2EmXJEmSJKlH2EmXJEmSJKlH2EmXJEmSJKlHtOY+\n", "6eNx4YUXVh5zYGCg8phHHHFE5TEBzjnnnMpjnnfeeZXHPPvssyuPefDBB1ce89WvfnXlMQGuuOKK\n", "ymNec801lcecLLNmzao85tatWyuPWZe+vr7KY3Y6ncpjzphR/bHeOuqpqaGO/40DDzyw8pgAEVF5\n", "zNNPP73ymO9+97srj7lixYrKY5588smVxwS48cYbK4+5++67Vx5zqrSLdX0P9/f3Vx5z8+bNlcec\n", "ObP6rldd72kd/3N1xNywYUPlMQHmzp1beczxbL9n0iVJkiRJ6hF20iVJkiRJ6hF20iVJkiRJ6hF2\n", "0iVJkiRJ6hF20iVJkiRJ6hF20iVJkiRJ6hF20iVJkiRJ6hF20iVJkiRJ6hF20iVJkiRJ6hF20iVJ\n", "kiRJ6hF20iVJkiRJ6hF20iVJkiRJ6hF20iVJkiRJ6hF20iXp/7d3/8GX1XUdx58rK9qGoqKMiSs4\n", "gm+BQmUaYzLLHIehWNKmSK0lA4f6Q4M0HJOyiKaQ6Qfgr2YQFRccf/DDcGo1MkCdTBPFH4m80gQW\n", "NuWXCEukwe7tj3M2vnv33vv9Lt6v55zv9/mY2dn765zzPp97X+c7n88953MlSZKknrCTLkmSJElS\n", "T9hJlyRJkiSpJ+ykS5IkSZLUE3bSJUmSJEnqCTvpkiRJkvgBVuUAAAqISURBVCT1hJ10SZIkSZJ6\n", "Ys1oNOq6BkmSJEmShN+kS5IkSZLUG3bSJUmSJEnqCTvpkiRJkiT1hJ10SZIkSZJ6wk66JEmSJEk9\n", "YSddkiRJkqSeWNt1AV2pqmOAc4G9gAuSnN1xSRNV1XpgE7A/MALOT/KWbquarqr2Aq4Fbk1yXNf1\n", "TFJVjwMuAA6nadOTknym26p2V1VvBDYCO4CvACcm+X63VfXLEHJshudvKBkGc7wYMzx/Q8gwDCfH\n", "Zni2IWQYzPFyMMPLa1V+k95+8N8GHAMcBryiqg7ttqqpHgBem+Rw4Cjg1T2uFeBU4HqasPbVecDm\n", "JIcCRwBf67ie3VTVQcDJwJFJfoLmj9/LOy2qZwaUYzM8f73PMJjjxZjhZTOEDMMAcmyGZxtQhsEc\n", "LwczvIxWZScdeB7wjSQ3JXkA+ADwko5rmijJt5N8sb19H00AntJtVZNV1VOBX6QZVVvTcTkTVdW+\n", "wAuSvBsgyYNJ7um4rEnupfmDsq6q1gLrgK3dltQ7g8ixGZ6vAWUYzPFizPCcDSHDMKgcm+HZBpFh\n", "MMfzZoaX32rtpB8A3LLg/q3tY73WjgY9F/hsx6VMcw7weprTSfrq6cAdVfWeqvpCVb2zqtZ1XdS4\n", "JN8B/hrYAvwX8N0kH++2qt4ZXI7N8FwMIsNgjpfADM/fEDIMA8mxGV7U4DIM5nhOzPAyW62d9D6f\n", "OjJRVe0DXAqc2o4A9kpVbQBuT3IdPR31a60FjgTekeRI4L+BP+i2pN1V1TOA3wMOohnp3aeqfqPT\n", "ovpnUDk2w3MziAyDOV4CMzxHA8owDCTHZnhRg8owmOM5MsPLbLV20rcC6xfcX08z+tdLVfVI4DLg\n", "4iR/13U9U/w08EtVdSPwfuBFVbWp45omuZVmEo7PtfcvpTnI9M1PAp9OcleSB4HLadpYDxlMjs3w\n", "XA0lw2COF2OG52soGYbh5NgMzzaYDIM5njMzvMxWayf9WuCQqjqoqvYGXgZ8pOOaJqqqNcC7gOuT\n", "nNt1PdMkOT3J+iRPp5mQ4aokv9l1XeOSfBu4paqe2T70YuCrHZY0zQ3AUVX1I+1n4MU0E4joIYPI\n", "sRmerwFlGMzxYszwHA0lwzCoHJvh2QaRYTDH82aGl9+q7KS3IymvAf6R5o36YJLezUjYej7Nzwb8\n", "fFVd1/47puuilqDPp0D9LvC+qvoSzWyUf9FxPbtJ8iWanwq5Fvhy+/D53VXUPwPKsRmev95nGMzx\n", "YszwsutzhmEAOTbDsw0ow2COl4MZXkZrRqM+v/eSJEmSJK0eq/KbdEmSJEmS+shOuiRJkiRJPWEn\n", "XZIkSZKknrCTLkmSJElST9hJlyRJkiSpJ+ykS5IkSZLUE3bSe6CqnlZV26pqTde1dKGq/r2qfnZO\n", "63phVd0yj3VJe8Icm2MNmxk2wxo+c2yOV4q1XRewGlXVTcBJSa4CSLIFeEyXNcHudf2wJPnxh7ts\n", "Ve0ADk7yzTmWtKy6amfNlznelTnW0JjhXZlhDZE53pU5Xjn8Jr0bI6CPI3x9rWsxQ6t5qO2sXfX1\n", "fexrXYsZWs1DbWc9pK/vYV/rWszQah5qO2tXfX0f+1rXYoZW81DbeVFrRqNR1zWsKlV1EfDrwPeB\n", "7cCfApcC3wTWJtlRVdcAnwJeBBwBXA2cBJwHbAACHJ/k5nadzwLeChwJ3AG8KcklU7b/ROBC4PnA\n", "DuCrwM8Bm8brSvJXVXUU8DfAocDNwKlJPtGu6xrgX9s6n9XWeWKSu6vq0cAFwDHAXsDXgQ1Jbp9Q\n", "0020o2BVdQZwGPA/wC8DW4BXJvn8hOU+CfwMcD9NSE9q9/8i4BzgDe2+nJ7kwnaZRwF/DhwPPAr4\n", "MPDaJN+bsP7fAk4GvgCcAHwLePXO0bqqOhF4PfDUdrtnJzn/4bTz+LbVb+bYHE9q5/Ftq7/MsBme\n", "1M7j21a/mWNzPKmdx7c9VH6T/kOW5ASakGxI8pgZH6aXARuBA4Bn0AT3XcATgK8BfwJQVT8K/BNw\n", "MfAk4OXAO6rq0Cnr/X3gFuCJwP7AG5OMJtVVVQcAfw+cmeTxwGnAZVW134L1nQCcCPwY8CDwlvbx\n", "VwKPpQnbE4DfoTlITDI+UnQc8H5gX+AjwNsmLZRk5zU3R7Q17zyIPrnd9lOAVwFvr6p92+feDBwM\n", "PLv9/wDgj6fUBfA84BvAfjRtfnlVPb597jbg2CSPpWmDc6rqOe1zS27nGdtWT5njicyxBsMMT2SG\n", "NSjmeCJzvELYSe+nEfCeJDcmuRf4KPAfSa5Ksh24BHhu+9oNwI1J3ptkR5IvApfTjGpN8r804T8o\n", "yfYk/zKjjo3A5iQfA0jyceBa4NgFdW5Kcn2S+4E3Ab9WVY9ot7MfcEgbpOuSbFvi/n8qyceSjGgO\n", "lM9e4nI7PUBzENye5KPAfUC1k4icDLwuyXeT3AecRXMQnub2JOe16/oQzYjrsQBJNie5sb39SeBK\n", "YOdBbk/aWSuTOTbHGjYzbIY1fObYHA+SE8f1120Lbn8PuH3s/j7t7QOBn6qquxc8vxbYVFXraUYI\n", "R8CoHZ36S+AM4MqqAjg/ydlTajgQOL6qjhtb98LJGRbO+rgFeCTNgeQiYD3wgap6HM2B4Q+TPDhr\n", "p1sL9/1+4NFV9YgkO5awLMBdY6+9n6a9ngSsAz7f7js017HMGqzaOnb/ZpoDBVX1CzQjgYe061gH\n", "fLl93Z60s1Yuc9wwxxoqM9wwwxoyc9wwxwNiJ70bezoRwKzXbwE+keToKc/vs/BOO9J1GnBaVR0O\n", "XFVV/5bk6gnb2QJclOS3Z2z/aWO3HwDubEfszgTOrKoDgc00I2bvnrGu5XYnzelBhyX51hKXOWDs\n", "/oHAFe11OJfRjIxekWR7VX2YdvKKPWxnDZM57oY51ryY4W6YYc2TOe6GOV5mdtK7cRvNNTGzfi5g\n", "zZTb4/4BeHNVbQQ+2D72HGBbkhvGX1xVx9IE+z+Be2kmWtg5QjZe18XA56rqaOCfaUb0jgK+nmRr\n", "W9fGqtpEMxp2JnBJklFVvRC4C7ge2EZzoNk+Yz8erp01L/pzEWkmEHkncG5VvSbJHe01QocnuXLK\n", "YvtX1SnA3wIvpZnMYzOwd/vvTmBHOwJ4NPAVgKraANzA0tpZw2SO58ccqwtmeH7MsLpijufHHPeI\n", "16R34yzgj6rq7qp6XfvY+EjQaOz2xOfba1KOprkGZCvNbIln0XzYJzmEZlKMbcCngbennVlyvK4k\n", "twIvAU6nOTVoC83kDTsPcCOaU3AubLe7N3BK+9yTaa7zuYfmoHJN+9rFTN3XKc4A3tvW/KtTll/o\n", "DTSTVnymqu6haYtnznj9Z2na7A7gz4BfSXJ32+6nAB8CvgO8ArhiwXIHs8R2nrFt9Zs5ns4cawjM\n", "8HRmWENhjqczxwPmT7DpYauqq2lO3enydJtlU83PRbwqyQu6rkVaLuZYGjYzLA2fOdY4v0nXD2rW\n", "aUOShsEcS8NmhqXhM8f6f3bS9YNayadiLHaaj7RSrOTPuTnWarCSP+NmWKvFSv6cm+M95OnukiRJ\n", "kiT1hN+kS5IkSZLUE3bSJUmSJEnqCTvpkiRJkiT1hJ10SZIkSZJ6wk66JEmSJEk9YSddkiRJkqSe\n", "+D8ib/Zeze0k4gAAAABJRU5ErkJggg==\n" ], "text/plain": [ "<matplotlib.figure.Figure at 0x7f1f4c0718d0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(14,8))\n", "fontsize=13.5\n", "labfontsize=12\n", "\n", "gs = gridspec.GridSpec(2, 12)\n", "\n", "ax = plt.subplot(gs[0,:4])\n", "figtext(0.02, 0.98, 'A', fontsize=18)\n", "figtext(0.37, 0.98, 'B', fontsize=18)\n", "figtext(0.66, 0.98, 'C', fontsize=18)\n", "\n", "figtext(0.02, 0.47, 'D', fontsize=18)\n", "figtext(0.27, 0.47, 'E', fontsize=18)\n", "figtext(0.51, 0.47, 'F', fontsize=18)\n", "figtext(0.76, 0.47, 'G', fontsize=18)\n", "\n", "time = linspace(0,epochs*epoch_length,epochs+1)/1e7\n", "TT = len(time)\n", "\n", "sns.set(rc={'axes.facecolor':'0.95'})\n", "for n in xrange(N):\n", " ax.plot(time,gfilter([mean(abs(r_vals[t][:,n])) for t in xrange(TT)],10),c='black',alpha=0.15)\n", "\n", "ax.plot(time,gfilter([mean(abs(r_vals[t])) for t in xrange(TT)],10),c='black')\n", "\n", "title('Firing rates over learning',fontsize=fontsize)\n", "xlabel('time [1e7]',fontsize=labfontsize)\n", "ylabel('rel. firing rate',fontsize=labfontsize)\n", "\n", "ax = plt.subplot(gs[0,4:8])\n", "\n", "title('Rate correlation matrix (t=10e7)',fontsize=fontsize)\n", "imshow(covR,interpolation='nearest', zorder=1)\n", "xlabel('Neuron #',fontsize=labfontsize)\n", "ylabel('Neuron #',fontsize=labfontsize)\n", "\n", "ax = plt.subplot(gs[0,8:])\n", "title('Length of reconstructed history',fontsize=fontsize)\n", "K = len(wm_performance)\n", "ax.plot([2*N - sum(clip(wm_performance[n],0,1)) for n in xrange(K)], c='black')\n", "ylim([0,N + N/30])\n", "ylabel('# reconstructed time-steps',fontsize=labfontsize)\n", "xlabel('time [1e7]',fontsize=labfontsize)\n", "\n", "ax = plt.subplot(gs[1,:3])\n", "plot_overlaps(t=0,axtitle='Projection overlaps (t=0)')\n", "\n", "ax = plt.subplot(gs[1,3:6])\n", "plot_overlaps(t=25,axtitle='Projection overlaps (t=.25e7)',axylabel=False)\n", "\n", "ax = plt.subplot(gs[1,6:9])\n", "plot_overlaps(t=200,axtitle='Projection overlaps (t=2e7)',axylabel=False)\n", "\n", "ax = plt.subplot(gs[1,9:12])\n", "plot_overlaps(t=450,axtitle='Projection overlaps (t=4.5e7)',axylabel=False)\n", "\n", "tight_layout(h_pad=2.5)\n", "savefig('NIPSv7.pdf')\n", "show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }