{ "metadata": { "name": "", "signature": "sha256:9ffe4eaf9eb5552022993733590fe9a5e797e07f6ae9894c0865dd959b35d1fd" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "from deltasigma import *\n", "import warnings\n", "from scipy.signal import ss2zpk\n", "warnings.filterwarnings('ignore')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example continuous-time lowpass modulator - dsexample #3\n", "========================================================\n", "\n", "Demonstration of a low-pass, 3rd-order continuous-time delta sigma modulator, in a very similar fashion as as done in the **MATLAB Delta Sigma Toolbox**, albeit employing the Python port of the MATLAB package, **`deltasigma`**.\n", "\n", "\n", " * The **Noise Transfer Function** (NTF) is synthesized for a **3th-order**, **low-pass** modulator.\n", " * Time domain simulations are then performed to **extract the SNR**.\n", " * The continuous-time NTF is realized and mapped to an **equivalent discrete-time structure**.\n", " * The SNQR is again assessed.\n", " * The modulator coefficients are then **scaled** and the final results are presented." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##General modulator parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "order = 3\n", "osr = 32\n", "nlev = 2\n", "f0 = 0.\n", "Hinf = 1.5\n", "tdac = [0, 1]\n", "form = 'FB'\n", "M = nlev - 1\n", "#generic options\n", "plotsize = (15, 8) #inches" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Synthesis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print '\\t\\t\\t %dth-Order Continuous-Time Lowpass Example\\n' % order\n", "print 'Doing NTF synthesis...',\n", "ntf0 = synthesizeNTF(order, osr, 2, Hinf, f0) # 2: Optimized zero placement\n", "print 'done.'\n", "print \"\\nSynthesized a %d-order NTF, with roots:\\n\" % order\n", "print \" Zeros:\\t\\t\\t Poles:\"\n", "for z, p in zip(ntf0[0], ntf0[1]):\n", " print \"(%f, %fj)\\t(%f, %fj)\" % (np.real(z), np.imag(z), np.real(p), np.imag(p))\n", "print \"\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\t\t\t 3th-Order Continuous-Time Lowpass Example\n", "\n", "Doing NTF synthesis... done.\n", "\n", "Synthesized a 3-order NTF, with roots:\n", "\n", " Zeros:\t\t\t Poles:\n", "(0.997110, -0.075973j)\t(0.764515, -0.280052j)\n", "(0.997110, 0.075973j)\t(0.764515, 0.280052j)\n", "(1.000000, 0.000000j)\t(0.668460, 0.000000j)\n", "\n" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=plotsize)\n", "plotPZ(ntf0, showlist=True)\n", "changeFig(10, 1.5, 7)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAtwAAAHuCAYAAACs89tSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkGH3lQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=plotsize)\n", "DocumentNTF(ntf0, osr, f0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsgAAAFfCAYAAABTIDoQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wdIxyQljD4GeAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Time-domain NTF simulation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Doing time-domain simulations...'\n", "figure(figsize=plotsize)\n", "PlotExampleSpectrum(ntf0, M, osr, f0)\n", "title('Example Spectrum');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Doing time-domain simulations...\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA3EAAAH4CAYAAADkVGR1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXecFPX9/5+7t1e5ThWQYhAQJBR7jIpJ1KjRGEtUEhU1\nsf6Mil9b1CCJMdFoSIya2GKJiiWxYQWFo0kTjibNA+7o5Xq/bfP7Y3Z2ys7u7V7bufP9fDzuATM7\nO/uZeU/5vD7v8gFBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARB\nEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBSCpTgUXJboQgCIIgdCTuZDdAEARB6LaUAo1A\nneHviWQ2qIMZC8wBKoAq4Cvg7E7+zSLg2k7+DUEQBKGb40l2AwRBEIRuiwL8BJiX7IZ0ErOBp4Bz\nABdwXOjfzkRp5XMP4O/kNgiCIAiCIAiC0EPZAfwgymf/BP5rWH4E+Dz0/wLgQ+AgUIkqlgYZti0C\n/gAsQfXufQD0AV4DaoAVwFDD9kHgFmAbcAh4FF1sTcUcTjkamIvqXdsMXBKl/X1C+82N8vlkYDdw\nb+g3dwBTDJ+nA48BZcB+1PORYfj8p8Ca0PGUAGcBf0QVaE2YvZpB4Cbgm9AxDg2tM0bTFKF78Kai\nnru/onoQS4DvAVcDO4EDwJVRjksQBEEQBEEQhB7MDuCHUT7LBLYAVwGnoAqdgaHPCoGfoYqabOAt\n4F3Dd4uArcBwVBH1NaqA+QGQArwM/NuwfRD4AsgHDg/9rlHQaCKuF7Ar1CY3MCHUrqNs2u8KtWE2\nquDqb/l8MuBDFWqpwKlAPTAy9PlM4L1Qm7JRhejDoc+OB6rRz91AYFTo//OBayy/FQQ+C+0rHRhG\npIgzfm9qqG1XhY7jD6iC8x+htp4B1AJZNsctCIIgCIIgCEIPphTVY1Rl+DPmcx2P6mkrBS6NsZ8J\noe005qN6uDQeAz4yLP8EKDYsB4EzDcs3onv9pqKLuEuBhZbffgb4XZR2DUIVPiVAAFgAjAh9NhlV\nKGUatn8TuB9VONUDRxg+OwnYbvjNx6P85nwic+KCod/TGEbrIm6r4bNxoe37GtaVA9+N0gZBEATB\n4UhOnCAIgtBWFFQvVbScuBWowqUP8LZhfRaqp+os1NBKUL1VLvScsAOG7ZtRQy+Ny9mW39pl+P9O\ndK+fkaHACahiU8MDvBKl/XtQwzQBBgPPhrb9XmhdFWroo0YZcBjq8WYBqwyfudBF12DMotSKXV7c\nLpt1sTCeP62NhyzrrOdQEARB6CZIdUpBEAShs7gZSAP2AncZ1t+BGnZ4PJAHnIYqcqIVDWmt2AfA\nEMv/99hssxPVm1Zg+MsJtbM1dgNPA0cb1hVgDkkcinqs5agiaYzhd/LR8+t2oXv0rEQ7VuP6htC/\nxt8eELv5giAIQk9CRJwgCILQHqIJr5GouVi/QC2icRcwPvRZNqrIqUHNj5veyn7jqQj5f+g5cb9B\nDW208lGoXb9EzQ1LRa04Odpm23xgBvAd1HdlH9RwxaWW7WaE9nMKcC6qx1EBngP+hh7COAg95PMF\n1CIjPwjtexB6TtyB0G/G4hCqSL0CNUfwmji+IwiCIPQgRMQJgiAI7WE25nni/ocqLP4D/BlYj5pT\n9tvQulRUcZOJ6rH6EviESA+UYvl/rM8B3kcNXyxGrXz5gs1361CF1GWoImgf8CdUb6EVL6pn7XNU\nsbkeVXhONWyzHzWkcm/o2K5Hz0W7O3Tcy0Lfn4te9GQlqoibiVrgpAjdk/h34GLUHMG/2bRL49fA\nnajncAxqNUqNeM6XIAiCIAiCIAhC0ghiLiLSFUwm8Tw1QRAEQegQxBMnCIIgCIIgCILQjRARJwiC\nIHR3khUqKCGKgiAIgiAIgiAIgiAIgiDEJp6KX13O+PHjlbVr1ya7GYIgCIIgCIIgCMliAWoOdgSO\nDKdcu3YtiqLIn0P/pk+fnvQ2yJ/YqLv/iY2c/Sf2cf6f2Mj5f2IjZ/+JfZz/hzqPqi2OFHGCsykt\nLU12E4RWEBs5H7GRsxH7OB+xkfMRGzkbsU/3RkScIAiCIAiCIAhCN0JEnJAwU6dOTXYThFYQGzkf\nsZGzEfs4H7GR8xEbORuxT/fGkYVNACUUByoIgiAIgiAIgvCtw+VyQRS9Jp44IWGKioqS3QShFcRG\nzkds5GzEPs5HbOR8xEbORuzTvRERJwiCIAiCIAiC0I2QcEpBEARBEARBEASH8a0Lp1xVV8dXtbXJ\nboYgCIIgCIIgCEKH0yNF3LGrVnHc6tXJbkaPRWKonY/YyPmIjZyN2Mf5iI2cj9jI2Yh9ujc9UsQJ\ngiAIgiAIgiD0VHpkTpwrNLKgTJ7cMa0RBEEQBEEQBEHoQr51OXGCIAiCIAiCIAg9FRFxQsJIDLXz\nERs5H7GRsxH7OB+xkfMRGzkbsU/3RkScIAiCIAiCIAhCN0Jy4gRBEARBEARBEByG5MQJgiAIgiAI\ngiD0EETECQkjMdTOR2zkfMRGzkbs43zERs5HbORsxD7dGxFxgiAIgiAIgiAI3QjJiRMEQRAEQRAE\nQXAYkhMnCIIgCIIgCILQQxARJySMxFA7H7GR8xEbORuxj/MRGzkfsZGzEft0b0TECYIgCIIgCIIg\ndCMkJ04QBEEQBEEQBMFhfOty4pyqTAVBEARBEARBENpLjxRxQuciMdTOR2zkfMRGzkbs43zERs5H\nbORsxD7dGxFxgiAIgiAIgiAI3YjOijy8BHgQGA0cB6w2fHYvcA0QAH4DzLH5frty4txFRShITpwg\nCIIgCIIgCN2TWDlxnk76zfXAz4BnLOvHAJeG/h0EfA6MBIKd1A5BEARBEARBEIQeRWeFU24Gttqs\n/ykwC/ABpUAJcHwntUHoJCSG2vmIjZyP2MjZiH2cj9jI+YiNnI3Yp3vT1TlxA4HdhuXdqB65DkWp\n90B9ZzkZBUEQBEEQBEEQkkd7lM5cYIDN+t8CsxPYj23y29SpUxk2bBgA+fn5TJgwgcmhHDdt5MBu\n+YsvgIta1AZ+CGecEXv7rlp+9dVXWbZsGSkpKTQ2NjJt2jRuvPFGvF4vU6ZMYdmyZWRlZTFmzBh+\n8Ytf0LdvXyZPnozb7eaSSy7hxhtvZPLkyTz22GN8/fXXXHXVVRQVFfH888+TmZlJIBDgscce48IL\nL+zU47nvvvv4z3/+g9vt5o477uCWW25h9uzZPProo9TW1pKRkcENN9zA8OHDI77/3HPPsWrVKrxe\nL6NHj+aDDz7A4/FE/N6AAQN49tlnOf/880lJSeGII45AURTy8vJ48sknaWlpSbo9u8OyhlPaI8uy\nLMuy3JHLkydPdlR7ZDlyWVvnlPbIsnlZW+eU9shyEWvWrKG6uhqA0tJSYtHZU6rNB+5AL2xyT+jf\nP4f+/RSYDiy3fK/NhU3GjIFNm9T/jxwJW7a0aTcdytKlS7njjjtYsGABqampVFZW0tLSwmGHHcb/\n/d//UVNTw7PPPovL5eKll17in//8J8uXq6ckIyODQYMGsWLFCnr37s3jjz9OfX0906dPZ8aMGeTk\n5DBt2jRKSko48cQTKS8v77TjePHFF1mwYAEvvfQSAIcOHaJv377ceeed5Obm8sADD7BlyxZuvvlm\nPv/884jvf/LJJ5x99tkATJkyhVNPPZUbbrghYrvhw4ezatUqCgsLycnJoa6uDoA5c+bw8MMPhy96\nQRAEQRAEQeipJHuyb+MPfwBcBqQBw4EjgRUd9UM7d+oCDmDrVmhFxHYJ+/fvp0+fPqSmpgJQWFjI\nYYcdRmNjIy+99BIzZ87UjMTUqVNJT09n/vz5AKSmpnLdddcxc+ZM231rYnfEiBGkpqZy6NChTjuO\nf/3rX/zud78Li6i+ffsCsGnTJk4//XQARo0aRWlpqW07NAEHcNxxx7F7txpZW1FRwZlnnsnRRx/N\nr3/9a6IJ+JqaGgoLCzvykHosInSdj9jI2Yh9nI/YyPmIjZyN2Kd701ki7mfALuBE4CPgk9D6jcBb\noX8/AW4iSjhlW1hu9edFWdfVnHnmmezatYtRo0Zx8803s3DhQgBKSkoYMmQI2dnZpu2PPfZYNm7c\nGF6+6aabeO2116itrY36G6tWrSIlJYU+ffrEbEtRURETJ06M+Pv+97/f6nFs27aNN954gxtuuIFz\nzjmHkpISAMaPH88777wDwIoVKygrKwsLNDt8Ph+vvvpqWNTNmDGDU089lQ0bNvCzn/2MnTt3hrdt\nampi4sSJHHXUUfz617/m/vvvb7WdgiAIgiAIgtCT6azqH++G/ux4OPTX4XzzTXzruppevXqxatUq\nFi1axPz587n00kv585//zKRJk6J+x+fzhf+fk5PDlVdeyRNPPEFmZmZ4vaIozJw5kxdffJHNmzfz\nzjvvhD160Zg8eTLFxcVtOo6WlhYyMzPZvHkz7777Ltdccw0LFy7knnvu4dZbb2XixImMGzeOiRMn\nkpKSEnU/N910E6eddhonn3wyAIsWLeLdd9XL5ZxzzqGgoCC8bWZmZri9y5Yt48orr2TDhg1tav+3\nCWO8u+BMxEbORuzjfMRGzkds5GzEPt2bHlXCMeQYanVdMnC73Zx22mmcdtppjBs3jpdffplLLrmE\nnTt3Ul9fb/LGffXVV5x77rmm7992221MmjSJq6++OrzO5XIxbdo0pk2bxuzZs5k+fTrnnXdeTCE3\nf/58pk2bFrE+KyuLJUuWxDyGwYMHc+GFFwJwwQUXhNuSk5PDv//97/B2w4cP54gjjrDdx4wZM6io\nqOC5554zrY8nB1LL+SsvL2/V4ygIgiAIgiAIPZWuyInrMuzy33bs6PJmRLB161a+MbgEi4uLGTZs\nGFlZWVx11VVMmzaNYFCd7/yVV16hvr6eH/zgB6Z9FBQU8POf/5wXXnghLNIURQmLn/POO48hQ4Yw\na9asmG05/fTTKS4ujvhrTcCBKtzmzZtHUVERCxYsYNSoUYCaq+b1egG1AuVpp50WESIK8PzzzzNn\nzhxef/110/pTTz01vO6TTz6hqqrK9vc3b95MIBCgd+/erbb1247EuTsfsZGzEfs4H7GR8xEbORux\nT/emR3ni9u+PXHfgQNe3w0p9fT233HIL1dXVeDwejjzySJ599lkA/vSnP3HnnXcyatQompqayM/P\nZ86cOWGhZvSq3XHHHTz55JPhZZfLZfr8d7/7HVdccQVTpkzplOO45557+MUvfsGmTZsYMGAAzz//\nPAAbN25k6tSpuFwujj76aF544YXwd84991xeeOEFBgwYwI033siwYcM46aSTALjooou4//77mT59\nOpdffjmzZs3ie9/7HkOHDg1/X8uJA1W0vvLKK62GjAqCIAiCIAhCT8apveE2TTFQWAhWJ05eHoSm\nW3A8Bw4c4LzzzuPOO+/kkksuSXZzBEEQBEEQBEFIErGmGOgxIq6lBTIyQgsuRT2yoHp4jY1gqAci\nCIIgCN2agKJQ5/eTH5q6RhAEQeh5JHueuC7h4EHDQoEXCr3hRSeEVPYkJIba+YiNnI/YyNk43T5/\n3bWLgjhymXsyTreRIDaKxRdR8v+7kqKiIv69bx9r6+uT3RShDfQYEVdZaVjI80GuXqLfAfeJIAiC\nIHQYO1takt0EIQrP791LZmg+WEGIxo/WrqUhEEh2M/i0slJEXDelx4g4U95btl/9s/tMaDcyr4jz\nERs5H7GRs3G6faLPxPntwak2WlJbS3Oo4vS3HafaKNkEQylDviRfJ5MnT8avKPjaUIdCSD4i4pJE\nbW0tDzzwAJMmTWLSpElcfvnlbNy4MeZ3ysvLSU1N5ZlnnumUNj3wwAOMHz+eCRMm8MMf/pBdu3bZ\nbvfpp58yevRojjzySB555BHbbUpLSxk3bhyguuvz8vKYOHEi48eP54wzzuDQoUMAvPTSS/Tt25eJ\nEycyceJEpk6dCsCHH37IpEmTmDBhAmPHjg1X87Qye/Zsxo4dy7hx47j//vvbeQY6nvfff5/x48cz\nceJEjjnmGObNmwfArl27OP300xk7dixHH300TzzxRJJbKghCd8ItVXodS0A6xI5lUXU1v96yJdnN\nwB+6RloccK34FCXpYlJoGyLikkBlZSVnnHEGhx9+OEuXLmX16tXceeed/OpXv2L58uVRv/f222/z\n4x//uNW54NrKXXfdxdq1a1mzZg0XXHABM2bMiNgmEAhw7bXX8umnn7Jx40ZmzZrFpk2bWt33aaed\nRnFxMWvXruW4447jqaeeAtSEzcsvvzw8X91LL72Ez+fj+uuv58MPP2TNmjWsWbMm6mje7bffzscf\nf8z69ev51a9+1a7jt8Pv97e+UQx+9KMfsXbt2vCxXXfddQCkpqYyc+ZMvv76a5YtW8ZTTz0V13mM\nF8lDcD5io8RwFRVR3877MRGcbp8e8/JuB061kXg1dJxmo9cPHuT5ffuS3QxdxCVZPBUVFYknrhvT\nY94DESIux7ki7o477uD3v/891113Henp6QBMmjSJDz74gLvuuivq99544w0eeughDh48yJ49ezq8\nXTk5OeH/19fX06dPn4htVqxYwaBBgxg2bBipqalcdtllvP/++wCsWrUq7Ml7+umnTd/Tqo0qikJt\nbS2FhYXhZWsl0rq6Ovx+f3ib1NRURo4cadvmtLS0sMdw2LBhUY+tsrKSCy64gPHjx3PSSSexfv16\nABYsWBD2Ak6aNIn6+nqKioo45ZRT+OlPf8rYsWOj7jMeevXqFf6/8ZwOGDCACRMmAJCdnc1RRx3F\n3r172/VbgtDTqXNA/ohTSBFPnGPxS4fYsWS5ndHtdYqIA0TEdWOccTV3ALE8cU4qbFJfX09paSln\nnXUWy5cv5/jjj+ecc87h2muvpbm5mUmTJlFcXBzxvV27dnHw4EHGjx/PxRdfzJtvvmm7/2nTpoVF\nifHv0Ucfjat99913H0OGDOHll1/mnnvuifh8z549jB8/Prw8ePDgsKC8+uqreeqpp1izZk3E9xYt\nWsTEiRMZOnQo8+bN4+qrrw5/9uabb4bb+fLLL1NYWMj555/P0KFDmTJlCq+//nqE0AMIBoOMGDGC\nSy+9lLKyspjHNX36dI455hjWrl3Lww8/zJVXXgnA448/ztNPP01xcTGLFy8mMzQXRXFxMU888QRb\nbMIuLrvsMttz/Oqrr9r+9nvvvcdRRx3F2WefbRs2WVpaSnFxMSeccELMY0gEyUNwPmKjxOlK2eJ0\n+4iIc66NRMTpOM1GvVKckU2qiaZk505OnjwZXzAoIq6b0mNEXE2NYaFXALJ0EVdb2/XticamTZs4\n5phjALj77rt55513eO2115g3bx6BQIBRo0axbdu2iO+9+eabXHzxxQBccsklUUMq//rXv4ZDE41/\nsTx8Rv74xz+yc+dOpk6dyu233x7xuStKx6Gmpoaamhq+//3vA3DFFVeYPj/llFMoLi4O79vYnssu\nuyzczquuugqA5557ji+++ILjjz+exx57jGuuuSbiN//xj3+Qn5/PXXfdxVlnnUV5eTkrV660nSh9\nyZIl4TadfvrpVFRUUFdXx8knn8ztt9/OP/7xD6qqqkgJPeCPP/54hg4danusb7zxhu05/uUvf2m7\n/QUXXMCmTZuYPXt2xHmpr6/n4osv5u9//zvZ2dm23xeEbztajpH44XR6zMu7ByI5cc7FKSLOcZ44\nB7SjORBgZ3NzspvRregx74GGBsNCRkD9s/ssybhcrrBQcLvdDB48mIKCgrAX5sCBA/Tv3z/ie7Nm\nzeLFF19k+PDhnH/++axfv56SkpKI7W6//XZbL5FdAZJrrrmGiRMn8pOf/CTisylTprBy5cqI9YMG\nDWLt2rXh5V27djF48OCI7WJN1n7eeeex0FB+Odq2Rx99NLfddhtz587lf//7X8Tnc+bM4ZprruHW\nW2/lpptu4pxzzuGVV17h8ssvt92f9XdcLhd33303L7zwAk1NTZx88slhz5sxDNLKpZdeanuO//Of\n/0T9DqhC1u/3U1FRAYDP5+Oiiy7il7/8JRdccEHM7yaK0/IQhEjERvHjDXUwurKj4XT7SGET59pI\nPHE6TrNRL6eFUyb5WnFSTtyd27czdNmyZDejW+FJdgM6isZGw0JGwCRPnSTiRo8ezerVqwG1SMie\nPXvo1asXy5cvZ/fu3SxYsID77rvP9J2tW7fS0NDA7t27w+sefPBBZs2axQMPPGDadubMmXG35d//\n/rdp+ZtvvuHII48E1KqKEydOjPjOsccey549eygtLWXgwIG8+eabzJo1i7y8PPLz81myZAknn3wy\nr732WtTfXbx4MSNGjIj6eUNDAytXrgyHYRQXF9vmu02cOJH//ve/nHbaafzmN79hyZIlvP766/zl\nL3+J2PaUU07htdde4/7776eoqIi+ffuSnZ3Ntm3bGDt2LGPHjmXlypVs2bKFvLy8qG0Dooay2rFt\n2zaOOOIIXC5X2O69e/dGURSuvfZaxowZw2233Rb3/oTOJW3BAipPPplsT495NPYItA6GdI51nNEV\nFeyQ69S5pIVEnC8YJDWJgs7vkHBKCFWndMA1u0fmvkyYHvMeiOWJMwm8JJOdnU2/fv2YN28ejzzy\nCD/72c+YMmUK55xzDjNnzuT555/HY+lAvvHGG1x44YWmdRdddBFvvPFGh7bt3nvvZdy4cUyYMIGi\noiIef/xxAPbu3cu5554LgMfj4fnnn+ess85izJgxXHrppRx11FEAvPjii9x8881h8WcMvdRy4iZM\nmMBrr70W3rfL5YoI0VQUhb/85S+MHj2aiRMnMmPGDF566aWI9t533300Nzczbtw4jj32WA4//HCu\nv/56pkyZEuF1e/DBB8OFV37729/y8ssvA/D3v/+dcePGMX78eNLS0jj77LMj2t4e/ve//zFu3Dgm\nTpzIrbfeGrbZkiVLePXVV5k/f37Yk/fpp592yG+C8/IQYhFUFKp8vmQ3A1BfZpVdVAGxO9ko2Wgd\njK7saDjdPponLlbUQ0/HqTaScEodp9lIs01tkoskOSWc0knzxCX7XHRHnBqPoST6YjrrLJgzJ7Tw\nyDpAgbvVAhw/+hHMnduxDWwPBw8e5Nxzz+Wuu+7iwgsvJCUlhS1btlBcXMxll12W7OYJQpfy9927\nua2kBMUBL3tXURGlJ57I0IyMpLajKRAg1eXC45DQn2Szr6WFgUuXsvbYY/mu5I4C8OCOHcwoK8N7\n6qlJ9SgIkZxWXMzCmhpHPNMEM0/u3s0tJSXsPukkBoWqgyeDzQ0NHLVyJe+MHcvP+vZNWjsAxqxY\nwZkFBfwtFImVLM5Yu5bPq6rkvrEQcirY6rUe8+SP8MRlBu0/cwD9+vVjzpw5rFy5khNOOIHvfve7\nPPjgg+HJsZ2O02LchUi6k43KHJLIbJwGoyuIZaOCxYu5fuvWLmlHdyAZnrjOvIe2NDZSXFfXrn04\nZSQ/mTj1OSfhlDpOs5Fmm2R7S51y/zopJy7Z56I70mMSP0xCLd25OXEaBQUFcZf9F4SeTNABLw/Q\nX+pO6IC1KArrnfjgShI9LSfulOJiDvl87Rpx1s5Ji6LQE3yT25uaGJaR0a6CLZ9VVnJkZiZHhKaK\nSRY95TrtiThNxDkhJ05EXCQNgYBjKpnGosd44kx5b5lBx+bE9QScFuMuRNKdbOSUsvHaS8zbRS+z\n1myU7E6Gk0hGdUqn30M+h4zkdxTfWb6cNw8eTOg7Vhv9eN06brWp2tzVyL2r47T7SHvfJNtGTqlO\nOXnyZMcUNnHKs0xRFLIXLcLvkPbEomd64jICpuhRGdAWBOfiFE9cWMQ55MHtjFY4g2SEUzqdnnhO\nOqLYRG8HVJaVe9e5hD1xSW6HkwZhnDJPXLIFrYYx8iP5T5PY9BhPXHeZJ64n4LQYdyGS7mSjZI+I\nanR1p7g1GznlvDiBnpYT1xFH4ZSwsGRiZ6PC1NSub4gFp1aMSwZOexc55b7R2pHsQUzJiYtEC3F1\nwjlpDaeLzLgx1UZID5qeog6pmyAIgg3JHhHV0EYiuyqcsjWS3clwEpp3tKfkGnVE8Rztek12J7Aj\n6YjzUugAT5yIOOcScJqIS2orVHzBoCMEi1NEXEs3EnGd5Yn7C7AJWAu8AxhnT74X+AbYDJzZET+m\nKGCaI9ATVP9CeL3qNkLH4LQYdyGS7mQjp3RCuzqcUnLi4kfmiYtEOxdOGQRJBkYbaaI21wkiroPm\nGe0JOO0+cponLtntcNI8cc6QcLqI6w6Dhp0l4uYAY4HxwFZU4QYwBrg09O+Pgac7og2BgC7SUlKA\nFHWvxme5Q+YSFgTBglMe3P4OEgpVPl+HeBSccl6cQFjEOWSk1gk4JRzLKTQ56NoQCedcnJIT5yRP\nnFNy4pxy33SncMrOEnFz0a/N5cDg0P9/CswCfEApUAIc394fM3rh0tL0/xvncTR56oR24bQYdyGS\n7mSjZI9EanSUJ65wyRLePnSo1e1as5F0znW8SXipOj0nbn9xBnwygMqK7n+dhOdoTPB7Rhv5HOLZ\nAOd0Rp2A095FTgmn9DlkEKaoqMgx1SmdQks3GjTsisIm1wAfh/4/ENht+Gw3MKi9P2AUaEbhZhR0\nIuIEwZkk+yWm0ZFTDFR0gOs/2SPFTqKnzRPXXubPh/lXDYdHR3PteZl4vcluUfvQ7rn25MRoHa5k\nd84BGsvSYXkhzS3Jb4tgxilhjLW1wNJCyncmdy6yoKIQxBleJ6cMfjR3o3DK9gSPzwUG2Kz/LTA7\n9P/7AC/weoz92J6lqVOnMmzYMADy8/OZMGFCOLZaG9mxLsNkVcStWQNAevrk0Poiiorg4otjf1+W\n41vW1jmlPbJsv6zhlPZEW963YgVUV0OS25N/zDEArFm8mMKCgrbfH2vWUFpRARdd1Pb2rFlD8IQT\nkno+nLRcXF0N+fn4FMUR7Wnvsm/9ehg3rs3f/+1vQQmoy1vWLeKxx+C3v3XO8SW6XB8IQEoKzcFg\nQt+fPHlyePk7J54IwNalSynavj1px/P440VsuCsIwR9w3hcK995ThNvtrPPdlcvaOqe056sXimGL\nl30PTYSkCfYEAAAgAElEQVS85LQnEIAZd54MxX2Y6Z7PyKdLuP765JyP4mIFZvhYPXgkOz+B7du7\n/nwYl1mzhqIk/n5RUREb6ushOztp75s1a9ZQXV0NQGlpKcliKrAEyDCsuyf0p/EpcILNd5VEKC1V\nFDUrTlEOP1xRmD9fYf58ZehQff327QntUhCELuLnGzYozJ+vBIPBpLZjRU2Nwvz5yiv79rVrP8yf\nr7y+f3+79zFoyZJ27aMn8fr+/Qrz5yv/2rMn2U3pEAoWLVKYP79N3/X7FSU3V3+3gaLcckvHtq+r\n2d/SojB/vjK9HS/q7Y2NCvPnKw+XlnZgyxLnlFPMtikqSmpzBAMLFiiKyx1UQFH6HBZQGhqS0473\n3zdfI5ddlpx2eL2KctjAYLgdF16YnHZoDFqypM3PRY2WQECZfehQu/Yxr7JSYf58ZW1dXbv201EQ\nI9Lc3QFizY4fA3ei5sAZC/x/AFwGpAHDgSOBFe39MQmn7Fq0kQPBuXQnG3kdEirXEYVNtBCd1Diq\n07VmIwmn1AnbpgtzFDrzHmrPlV5SEgrFMrB2bbuak3S08KXmBO1rtJETcuKqq2HJEvO62bPtt+0q\n/rprV1JD1p30Lpo5E5Sg+mwu3+fmvfeS045588zLc+cmp4L6ypWwb++C8PJHH0FjY9e3Q6Mjqrp+\nUF7OeRs2tGsf3SmcsrNE3D+AbNSQy2LUKpQAG4G3Qv9+AtxEB+R4G/MBjCLO+P/unjMgCD0VrYOR\n7PnZOqKwSX1AlV4d8fBPds6Gk9DORHd4qXY0T+zeTa3fH17+5pvIbdat68IGdQJNofsmURFnxAlT\nLhQXg/UQVq5MTls07ti2Lfxc+jajKLBokXldsvTl8uXm5YoK2LGj69uxeLF5uaUlnI3UbWnPM0RD\n5olTPWxDgYmhv5sMnz0MjABGA591xI9JdcquxRjrLjiT7mQj7ZHbVfOzRaMjCptone149tGajZxS\n8MUJLP5vBtwwifn/7tVlv9mZ91C8480VPh+3lpSwuKYmvG7r1sjtqqvVv+6K1vFKdJoAo42cUNjE\nTkwXFydvnlrtXLT359vzbHbKu2jHDlUsGVm1Kjlt2bIlct3XX3d9OzZtAphssy45JOqHm1dVFfGe\nbOmAmy08xUAX9UmK6+ootCrqOOksEdelSDilIHRfgh0QxtgR+Dpg9K02NOLdEYJUxs5V1qyB53+T\nB1ty+eDBQj7/PNktaj/xCvS19fUA7DOEkpSV2W8bbb3TKWtuZnXoONszgOKEku0lJZHr6uogjhlH\nOgVfB4WFpS9cyJzKyo5oUtKwG/zYtKnrBXZlJVRVRa6387B3Nps3R65LlogrK4OKB0fA4yM5cKD1\n7X3BID9cu5avGxpM6zvEE9fFfZINDQ1U+f1tGoDqESLOGCoZzRMn4ZQdh5Ni3AV7upONHOeJa0c7\ntBdIPJ3R1mwknjiVN98ERdHHaN94o2t+tzPvoXgFel1oUGB7U1N43d699tsmsYhZuzhz7VquDbkm\nEu3E2ObEtbM9L+3bx8xdu9r03T177NfbibvWaA4E+FNZWbs8i9pzKB6PgqIo+GNsV2K4BhOhI++j\nGr+fKsP0La6iIubGKS7tbNDUBAcPdlTr4mPbNvv1yRBxaghnkWldGy/9dqEocPHF0DinL3w4kJtu\nav0760LizTotSXumKbHuwzj48VFFBbPLy9u9bztqbZ7z8dIjRFw0T5yEUwqC83FKTpy/A0KPtM5S\nRwhSp8yZk2wWLIi93B2Jt2NeFwrPrTTkxO3bp3+eMkh/6cczeu1EGg33SnsES0fN/zVt2zamRetp\nt4JJxBXqnY625DvtbGnhtzt2sLAdcbLeBDxxvy8rIydGSFeyB9kAjl+1imMtMZDrLZ6YaGzfbr++\no3PRtjQ2ciiG1yDaIMzu3fbrO4tAwN5D3NXtADXa4quv9OV33tHFdVWUOVd3hzr1tZZ8z47wxAVs\nPHE/Wb+e89tZMCUau5rV+o+lzc2tbBlJjxBx0QqbSDhl5+CUGHchOt3JRgEHhEEB7N3pgjcO58A3\nqW3eRyJ5da3ZqCMqdXV3FAU2bjSv274d2vCuS5jOvIfiFnGBAGkul2l02dgJTDtSLyXXlpC9izZs\n4JZkuAAMeP1BeOYI+H8T2fZBbkLfNdqooVmBDw5jy9ysdoXItadTZBRxKUfVhf+/f3/i+9IOocEw\nSr8xTsGi4U0gLGxJTU3MDnBbQ8s68j7a2tREhaVT3xhn0ZZo4qmtYch1fj9bbUo5jl6xgotjJLgZ\nB2EY1mC/vgsoL9eK8Ew2rU+GJ+6LLyLXaVVeC5cs4Qub+FOtGFKNYYALOk/EAXTWtOyHQtf0vjaE\nDPYIERdPYRMJpxQEZ1KxIhveGUR9Yv0TE7V+P1Osvf0EOHAA7jmzEJ75Ds9eOKDNo5H+DgjJ1OjJ\nEm5OZSWuOMKs9u8HQ00PQO14tCU8zSns2QO+GUfBA2Nb9Z7VBQL0Tk01iTjjdzK/o3vi2iLi3ikv\n582ujiez0PBBf3hjCHydx/J7B7N0adv288dfZ8HMUXxw42E89ZT5M0VRUOIUIe42Dp74/WaxljZK\nf6CV7kn8eWDNFf7e6tWMtSl1GVAU6i0dWQ1vAnm+1jA0fzBImWG0JNk5yxr9jZ084i+GYxRJrsN1\n8dVWD/Zd27czaoX9DFmHoniPItoxss52fVdgPG7PQN3Oe/dGVlg18lmcz247zly7NhxdYMSuIJDx\n1Np54zS7Wz1xHRFOqe3R6sH2dNLAanMwyMC0NBFxINUpu4LulG/1baW72Oi992DN9SPgH0dy48/T\n2zyCvqGhgVnt6Iy+/DLUV6qPw+Y6Ny+80Lb9JOKJ6y426gw2xOlRiDZK3sZotzCKorSaJ9RZ9rnq\nKlDm94PFfbnpptjXSV0gQB+DiGtuNszjlBIka7D+0m9r8YyUJHt8mz/sb1p+7rn4v6vZaOtWWPKh\n/sJ/5BFzR/Ssdes4M855GNraKTpwQA1RA3Dl+Ug7TLfN9j2JZ+ppzdeeKdGmCfh9aWnUMMhE5uC0\ndn7/vmcPw5Yt0/fVxs5xR99H/SwirjHOdhk9cakj9edPW7ykoHuC7IjlHTT+XsoIvR0HDsQWTx2N\nLuKKSBvghSxVXAUCkQNnRr6qq4v+YQwCisLcqqpwGKQRu2AAYwVPu2eUJuJa88R9UlHBfxPsG4QH\nUCz7SnV3jmRqCQYZlpHB3jYIlR4h4ow2TDVEQnk89tsIguAMHn9c//+yohSKi9u2n/ZWX5s717xs\nnYw1XjqiOAoANanQ2FnBG11LUyDAIzt3mtbFa69oHaxooVHx8lBZGWkLF7ZvJ21gzx5z6NB770Go\nMKMt9ZonLnS+jDUc3Ll+Mgv1zmKbRZzh/4qi8HYXeuZqayGwOce0ri0TH3/yiXl5925Yv96wz6oq\nPrcrCWhDW8OYjaGUrr4tZPTVOx0H9ye+T6snLponbEuM2ZkT8cSFc4JD/x60eAWSnbOskZeiXrFa\nO+MNpzR5SUc22q5PhPQYHfpY3kHjNAep/b2k56ntDwTUEMeuwuiJS+/thzzd22WdisGIVTTFy/7Q\n9WR3HdmJOGPlTDsPWNgTZ2mP9d3yi02buCTBKB1/UIH96bQEusYT16IoDEhLo7oN57ZHiDjjPWwU\nbsb/y1yXHUd3yrf6ttIdbFRfT0TolFVMxUt7RZyxwwdtn9spXNikHTlxb78NXHQS1RcdFzE5bXdk\nTX0991iqCsRrr2ihTtGqACbSptbojHvoyy/Ny8GgK2b4YJ3fb/LEGTtXrg4SccaOybamJn7ejrDk\nRLErcb57d/wVAzUb2Q3+GNclMhxi1yna3dzM91avjvk948CCq08LmX30DtmhNog46wT30Z4pse6k\nRDxxmqdPC0+zfqezc+L8wSAPxFFlRGuF1+a8HPB6+Sw00tESDOIqKlK97j7DYIlbIXOoHobcVhGn\neQDTbCotxRJxxoGY1Fw/mQax39a2tAX92To5QsTFEpNtFXFa8Q5rOGVVlb1oLC2FYFC1rZ0nrjEQ\nwE2kh1q7GrRBkJyUxAZDvV547sq+cPlJ/GVKgSkVq9NEXDBIdkpKm+6xHiHijNeEUbgZbSeeOEFw\nFps2RQ6urF3btn21R8RVVESKhbq6tr1Q25sT5/fDzTcDATdKvYdbbmnTbjqMxkCA9XEInljYjVjH\n+7Iy2SBPf5u21xMX7deHLV3KPTFiNaeVlHBGWy9SwK64mXUAwUh1Nez/X28qt6ghZKZq6nk+sjtY\nxO0IdbS6asJsOxEH+nlyFRWZ8rKiYWeSNWv0/yeS52a37Yq6OpbW1sb8nun85/voZeicVxxohyfO\n8Cyx60TGFHEJTFpc6feT5XZTHso/sl4DnV2d8qDPx0NxVBnRWqWFMxoLYt2/Ywc/DoXNNhlEqTE8\n0JMdIKO3ft+0xfu1pKaGV0MvDbtnWaziGiYRlx9UBVSIrsyLMz5b03v7ccUQca6iorAIa68nrs7y\n0jfmN7uGN0Cm+nlTExyqil4xuikYJCclJeLdH7AMXGQnKOL+8x/4ZmEmAF8vSOfVV/XPUjtJxHlD\nxyIiDrNwk3DKzuHbnMvTXYjHRvdv355wrHhHYjepaFudAO0RcdFKT9tNDtsa7c2J++orc2dw7drk\nTuL8cFkZ3zXWfm4DaTYvvjZ54o7UxWR7R6yj/XpZSwuLQj0+O/u8X14ed1ieHXbXd7TikM3NMPeX\nw1g8fQCrfzmKVavMI9ZKjo+c3npnsby8bd5j4yi3NhdYosUBVtbW8k2MsD47/MFg1ImFjcX9Yom4\noqIiFMX+HBrnzUsk789uy3g6V8bLQsn1kVUQxOUJ5bPVuIk2BVRQUWwLN1hz4iDxTmS8njhFUajy\n+xmZlaWLOMs2rZ2DOr+f3c3NXGkxqnYfPbd3LxNsCrNoaDZqTXBqrdA8YUaxaezQakJqv9eLcZaG\nlJwAGfn60cUKHdTYZjGeNa/LKHBdxD5XRhGXluvH3VsfnErkuRZvGGk0jDlxmX38pOTpnWQ7Ybsr\nSkl/jR1NTZTECu2NkttpuncHNZHSRz8fJWXqtnbXRFMwSI7H0+Ei7t13oy93loirLk1jx/v51OzR\n23rQ6+XVOC6IHiHiJJxSEBLnjzt38vskKgS7CoNbt7atI9oeERetEmVbSi1XVwGf9+PAN55Wt7XD\nGm4H0EoUV6fSERXp3DadszblxBnKccc5v29UYlUqjPWabu9L3O52iybi3n0XardlAKD43Dz2mJpD\npqH08pPVy0V6pnosLS2x8+uiYfTuVIVGOxMt03386tX82ZD3eO66dVTGqNAHkLpwISs36B3H1FF6\n41evD4Qnnm6t+uDBg2BXJ8d4rtsTTvn70lIui2N0yXhNKjk+Mjxu0nrr5yBaf+zZvXsp1OqpG7Dm\nxIH9gEgs4s2Jqw0ESNueg/e9AWz4JpSjlaAnLnfxYm4tKeE/UWKgH9m5k7UxChoFonTyrWj3rnZd\nGLc2inUtj/SARcS5s/1kJSDiDnq9jFi+3LTOKqASyWUyibi8ABTqoiURT1yvRYtYXVdHaVMTK1rx\nEtthFGoZhQHcOfox2RU2caMKtWjXwcSvvuLIKNU6Qb8GrZ444/NPGdSIp59+Pkr3RB8UbQoEyElJ\niRhssFaWTCScUlHMVTEBli3T+ySJhFOuq6+PK2qjrAzWXzGKj+/qR9ElI8LieklNDVds3syeVoqd\n9AgRJ+GUXUt3yLf6thOvjTpiTpW2Yieempra1kFvT/hXNBGXaMheQwP84fxC+OMYPrxwOK05sOxs\nZOeZ6KT5ReOiI0YeA5ZOF+iCziqmdjY3s6khSuW4ofoobzyj51a2NDaGizXEc7XY2ae9ORF2AwPR\nrr+PPjIvf/KJRcRlBkh3u03euLaEVBqPqClO4WTHgLQ0mgIBpu/YwceVlRHeCzu+2az/eq8f6Df+\ny0vrwyP+5THE4OTJk02edFdvvcNjrKWTiCfOGk65I85JCU2euGw/6W43KYV626Pld1ZF6ZzYeeLS\nbEKTtWd4s434idcTt2CFn8ZfT2DjHwdz2xl57NsX+UyN511hl2uq3UetfdsfpZNvRduPJqTsnv1B\nRQkXvIjwxGUHyMpTcLnU79XUQHmTLxwuaMXuXmgMBmFPJrwyFFbnm2wYM7zVqw84uFIU0nsp+PP1\na/bLssaE3mUVPh+XbtzICW0Y6dPPyWQycgN4eunn3U4Tul0ujli+nC9CXwwoiimUNdozY3NDA95g\nMPzM1+zrDQZZXVfHvPWG8z64iTSDiNsZejbaCcdDu900/m8Ah0rMA6bxeuIUReHU4uKI6Vusz9Dy\ncv09lMjzf2F1dVxRG089BcEG9Rh8tZ5wdV7tvm8tT7THiTgJpxSE+HGaiIO2ecDa4zEytSNbf1Ak\nKuJmzYJ9oYnCgz43jz6aeFuMZZU1ouUNdQV2ncZE0V6qxtFr7YVv7Vz+aedOxhhCrkwd36G6uGuL\niBu9YgWXhjwqbb1arCWmy5qb4+50eb32Hflo15m1X1ZTY55PyZUZwONy4TbksrQ2ALKytjZiZNdo\nA81GiTwXjJ2mlXV1Ye9+q2FMPhd7dujns2CyocOzOzOce2OtkmjFeP48oxpwp6ptr6zUPZMJ5cRZ\nlo/IyAj/P5YH13Tuc/2kuly4DF6WAwfUCbsnWUZ38j32Xnu7nLhDPh9uS5ivNhm4nfgxeuKW1NRE\n9dg89XgKBNQjr69y849/6M9Uzb4HW/GsQtsmK9bQrsPWPHFBy6CQtuwpKgqXaP/b7t3hMPD6QMAk\nsN05AdJT3WTm6ef1+a3l/DFKVIq1aifArh3A9cfAi8Phjgm8OSu+YzRq3PTsIGkpblrydBEze1tt\nQl41F5CVYLightHblpkTJCXbXsRpx229g0avWME1hpeTbRhyMMhRK1cyp7IyYqqMd8vLOWbVKhZ+\nrV8z7sFNpPXTr7OV21V7Wj1x+/bBRz8fTtmjQ/jvBUNNz0WriOtlc36CisKO5mYW1dSYrrdoKRTa\nQGoiIi4ndF+3Fh5srYStVS/W7t15rQjBHifiJJyy85GcOOcTr42SKeJMFQbz9Qd5Wyba9tm8aOPF\nmBboGam/ZROtgPjhh+bluXNjP3fsbGTXj2iLqO0oEg3fskM7BcaRWi2fxXr9WX/N6InzGCrKVVe3\n7ZmuvbDjuUrs7GP1TA5btozn44yB2r9fD8tJ6e2FkNioq4sMg2xqshf0xunAUnoFcQMH0/XzsmJ3\nI2/FyHM9fvVqrrC4e702o+mJPBe8Bu9ddbweiZAnIxAInc/+zeQM9eJKD/1uTRq7y9V9VcYYgX3w\n3Xe5fYV+03j6eHH3j/TGJdLRsQo+41KswSJjXyslx4/H5SKYbxZxX9bUUGwxdm6oo2J9dmkW8CoK\nnxhGLawt0Dqrdm0zeuK+X1zMD23Cu4JBWDrP3NF96y2o96v3ys6QhyrWHFZWYWUk3ndR3OGUoX+1\n49a2DqDmtIJ5LjOfopg8ca4cP+kuF1kFBg/MISUcfmlFu77dhiqUn/09Fxr0DuZTM9JNc7xZn2Of\nVFQwubgY4xRrqVlBPC4XjbmG81qVFjWfel9LC+UWkex2uRLO+dLQz0kRGXkKqb30A9BE3J6WFnaG\nzqnVsiVNTbbFflYZDnJl6P8ZbrceThm6n/tr84HtyQxvnzK4iXSDiHt3k/p97bu/2LiRpkCAp5+G\nlkr1/Ae8bv76V/33rSLObgBn5PLlHLNqVXh7V2gAINqAmpb6ES0yRVEU1lnua+063hnjvmlpMRdg\nAjWcMxDQ792KVjxQPULERcuJk3BKQYhNMkWcqYM+Wn8AtqVClxYS0ZawSmNuQOrwRtv1raEo5g42\nqC/JOCpmm/Zh56npTBF3SnEx+2O8ZDrUE2cTTmktoGG0XkuLPrG126OQkhcgLTckwhRzpzlevqqr\n48Py8phV+2LNE2Y3Ettap1PDGKbjKfTh7hO92uaOHfYT/xqFnTsroIYJ5uidnr9u2h/2NkYjaLlH\n2uuJa4ki4mKF8DUEAlCWpa8Y0kiGx036IP1a3BjqOMW6p5fU1LBrvyHcsNCPv6/u2dAGRRIZirBu\nazwX8VYdTMlVRZzfIOIOHsRWKGjXlPU60uy0uq6Oc2KUMLV2Wo1Yc+Lsrt9Nm6Cu2nyfb9sG5V+n\nw6oCjjjeCzdOonRJZsR3NaxewICisKi6mt9ES/i0IdFwSu24A4oSzp+0E7R+q4gLhbpm5eu2rKiI\nnvNnFaZNTfD1x71M6w7uSmHOYv3atz413ysvZ0FNjWmwJrVXkFSXC3+e4flbnRq1HUcsX873LXNp\npLhcCZfQ1zB54nKDpGZHirjLN24MT/juCwYh4IK3B8Mjo2BdHlubmsKeIu25eWxIHAFhYeNTFHyK\nggvdvm6XC2o8UKeKOXdGgJS+PpOIozwd0G3z+sGDfFpZyezZ5mOZPVsfIDu4Rg1zjfUY3NbcHH5W\naddMaXNzVBGnXcbRJvueXVHBeIuHXdu/8b6eX1VlmteupCRyMLKxUR3I1p6r9dWxn149QsRJOGXX\nIjlxzideG7Ul96Uj8PstI9eH696EtnTOWywv8UQwhualD2mxXd8axWUtttvHymez2qi2VhUuALj0\n49izx75D3xaslf52NTfHzDnqEE+cNkpveFtp/7N2io3eCGMnIyMnSKrbRZpNRyNRtjU3h6+Xhhgd\nRrt7yO6FGe85Mnl8C/y486NPrhutYqoRT8gTZwwB9tW03qHTOltWMQdt9MQZ7FuViIjbaegID20g\n3e0mfYh+fX7zTci7HuO3C447DqrSwstpvf3QX9/H+m3qOY7mZbHDKhqNz8hvmpr4ZZTeoZ0nzpev\nt2XvXksVw6Ii/r1vX3ggocJyH+7b5YK7vsunPxwNfzsSau3DLq2FHIxYc+LsRJyxEqiRdY8eBveO\ngw15sDmXhrvH8vUW++vCWna+KRBgZ0sLXzc0MHnyZAoWL251qoh4wykV4zH5XTTXuWiwXLdey4CR\nUcSR7SfN7SazQP+dqkpXVC9rk8Vm8xcG8TVGPgmueF0ffdS8P4qi4A0Gw9eU2ROnqJ4dQ94kFelR\nK8M2B4PstXjiXCRefRFgS22TnpvnPo3MbEg3hFNqz16j58mnKDDzSHh6BHx6GNw+AVYV8EmMGO4X\nQyO1XkXBFwxS6PGE7RtUFNiWHd7Wc3gzqW4XGUYRV5EW/r5m9zX7miOmFKmsVAceVq2CoqnD4cXh\nnHdyWmi+19j3vlH4m+Z6PFI3libiooVTrrcU7PEHg9wfGsE13pd/KCtjmeHFFS18c9u20L371mD4\n+Ukx29/jRJyEUwpCfLho/yTZbaWqSh85c+f68RQY5lRqQ75T2BPXhrYYPW6Zhk5kvO0o93o59QOb\n2DcSy2czeiZdhzWHO+c+X9uErR3Dli0z5RgFMXvIrHSkJ+44Q5KXdt1ZO9fGJWPHKyMnSAqQaki+\nN3aIEkFRlPDv24XqxZJkWqfY2DGI9xwZPXFpBX7cOfpvW+1rFHEF/ezt48kMeeJyDSKurvUOndba\ncK6P4TPtWmhK4IVp9MQZS+XH8qDVBwJQavDEHd5IuttN6mD9/ttREl1sHvJ61UmcFQWqUsPrM3r7\noa8+EPN5SaOpjfFgfSY2BYKwrBDm9eN3m8p4LUq4qtGGnjw1X5EBeltKSyPbsaK2Nvx7DYbPFAWm\nX90LVhbScigV3h8EP/0+XHMsbM027cOvmIVaxGeK7nG2uzqMIu7I7xqew6t7gc9wbfvc/OGP9jYd\nt3Klaof9av5gYzBIYyBAtd/P2vp6qv3+uAub7G8lr07bz5dzPPDTk/niB2N44QX1u5qIq93nge29\nIBAZTkm2Gk6ZafDE1VS6IjxgrqIi9rW0RAxovDVHv8bTcwyDSsW6XbRnyD/27CF94cJwm+08cRS2\ngCe0RVUatfXR75uA5fnTVhF393o9BDkrVyHV7aJXrv65pjOMnvWNxW74aKC+UdAFj47i39sOEgx5\n2YwEFYUVdXVc0KcPVZUK/72vgPrrJ7DmlTz1c4BVBeHtPWPqSHG5yOxneCZXqJ64eVVV4XDW0o32\ngxmrV8Njj4HiV1vS3OTi3hmBVkPnwyIuGDTn107QxVY0EacoCjuamthuKeJkHIgwRnsEQ6JeI1qk\nzvbtsGZuGvxzBDTHtm+PEHESTtm1SE6c84nHRpkd0EFvK0bhlJLnw2OYo6Yt1Sm1F21bwimNYq3X\nMLMnLp7d7WhuprE0w/azWDM4WG1kDKV0F/pMk1u3dSJnO5osL5VY3th4vUxNgQAnR6mQZicHNDvF\nCqc0e+IUUlwuU8hPW0WcsU2HbLyQ2hHb3UOa564tZd9NIq7QbyrpbRVxxpDicSfav7xSewUjwin9\nNa1PbaG1Vuu8mCrMBQKku1xt8sTV1cPeMnfYiFZRsbelhUqfj9KmJo5auRI2G3qNI+pJc7lMIu6d\nv+TAU9+huc5lEs3bmpro9+WXPLtvH/uWLzd54jIK/dBHv4fr9nvCYi/D8rw74PVyt83E7tZ2L32i\nEO79LvxhDF/+ZohtmcVAwHy9pmRrIs4gSndEDlo0BYPha8l4zr/6CjatsrHljmyYPhbjZduwPR2+\n6Me+/eZ9Kwq8/YccOOtU7jujNxxKs/UkGMO1L78mgKdvdBH13ttu7KYC86/Ih8tPVP/+dQQNgQCN\nwSA1fj8Tnn9eveH8se8T7bx/1cqNraDe+4/e1AsaPQRb3Nx7qwdqUmmscsPfjqTox6Ph2uPglknU\nVrpsK4caPXG1lS7bXLRNjY0RAxqLivTjmPwbXR36N+Sy4isF/nAU/meGm+YFXBhSkcZD82QF1fC8\nFKCffs3uKTOfp8ZAINzxbwwG+d2OHfq9iy7i7DxOQUXhWZsYwYBhsCcldT6pLhe5NiLO6Fmf/VJ6\nxH44mEHlP4fYCm+fopDmcpEWcPPnq/JY/moOLRuzWffngcyZAzVVqIMTGsdU4XG5yOrtD1cOpSoN\nWsp37gcAACAASURBVNx83aBfdLuiiLgtWyLz0j/72EVLjX0/R7sXjJ4443M33SDitm8HAq6I++fd\n8nKOWL484pmh3cmD09NNnwUx5yCbojM8hmfcNvj8iTzbdlvpESIunnBK8cR9O7lhyxZWtjXuqodj\n7dR0NuVeb3gyUJOIy/eTmtdOT5whPyIRrLlVvQb4w9XtjDlZsShtbkbZpeeL5I7Vv2Qn4lqCQb6w\nca0ZRZyn0AeGcLuOEHHaS940Mkhsr0u8Xqa9Xi9fRrnPwp64nJzwOr9NxxViiTi1CICnV/tFnAK0\nNLrom5rKoSij/uvr6zndmnGOLjq9wWC4YxVvwKnxuk7LC5ASwxNntPfIcfb26ZfvVl/ghuqUvqrW\nRZzb2Hmp8eA3hIY1+ILkN2aq3qcY3LBlCx+GbuKWYBA+78cXp4/hudOHwm0ToD5yEt5BS5fy0w0b\n1EmDD6XD3tA94wnCiHrcLheeEZYb7r+H88S1BTxcplYoCShKeM6uzY2N6m8YRFxmHz8YREjdfg81\nLQEoySajxXxuPqyo4FGbhFNjuysqYN1zheHl6uW5sKIw4juHfabPI+bO8ePxhDp8A/Se/I4d0OQ1\nn9fmYND2Xvj4Y30bV0bAFCLK/kw++UT978KFsHnKGHhoDD8/JZOzijaFwzJnz4bP/5UDPjc7N6TC\nk0faijhjR/LooR6Um0rC4dwuT5BTnynFHZreo6XZRVERbKiv5+x162gKBNS+1V9HQUuo8/XmEFau\nIuyJY1U+XHAynH8yfNo/4vc1tPOwubGR3Tahl3v3KvDoKLY8MESdM7FSv269LS546CgqLzlGFQZK\n6Dg35fLu/YUmT5yS7SPD7SbdMFdcfZXbNpzykM9nHuRqSKF0re75nXBRPb36q+c72JjCCce5YF5/\ngrOGcOONSrgy4rbQ8Rg9cZ6soB6uOFC/Tt5f3oKrqCj8vB60dClXG0I6/lBWFhYCZ69bxx9CLxk7\nEXrI5+P6rVtNeVgAgXr9XkjrpT5bY4o4r5tF7+v3GRcYqn69N4iPPrPPx/Tgovjhw9iyLM302ZNP\nwpw30/TiMIc34vveQTXaItVFQT/D/n58KvtuPAqq1fO+b7N+/guG6M++996zmSfT52bn3Fzs0MSv\n0ZNt1LsZQ5vJ6KPu3+cDDqZHeLK1Yj/WKUwCikJvj4cjMjLMIs7iiTPeexOO19fPmwe714REsyf2\ns7jHiTizJ06x3UZoH90pJ+6ZffuiTj7ak4nHRvGWyx2/ciXF7XF7hPj5xo3hyUCNHVp3rp/UPP2F\nqnnifMFguKPYGm31xDU0GCoGZgZJT3WRYQiziccrWNrcDDv10LABJ+tvEjsR98bBg/xo7doIGxkv\n09TePlPnvCNEXNj7ZThHAUWJGU6pdTJayyuIdd4DikKm22160TXVuKGoLzstuV+aV0hRFLOIyw2J\nuKx2irg6D89c0YfiUyZSf914Nu+wF0ilzc0wYULksYT+9SpKOGQmWjU5K8aOZFqueXJdU7gXZnsP\nHxmElEgbDc73qOe0QBctvorUiO2saFZ4+03g0pM4eO7xvPWWGu63+oKxHDjneJ68LTumF/qZfft4\nM9TILZuBP48m2BzqTqzLh78faRveV+P3q/fq/L56e75bA2kKAUUhdWQ9pFtssrqAucvVYzSGKVX7\n/WQfcwxU6h3E1EJzOOX+bzycerIbfn0sNZcfE64yB/bX9KFDUPfEcPjnd6ipgfffV6cLMfF5f2aU\nlpq/ZyxqEsqH87hckB0g+7BQXl4L7NlqFpJNUUScsY5J2u0lMGsZnK27CbQ5BO+5BxS/2r6De93M\n+VcvloZunGeesRzckt64bPLqjB3JwwekMPisGnh6NRl3fMOP3t5G7+/Vk3aCfoEuXQqr6+v5tLKS\nPS0tLF4MjXvNnfSP/uemMRikeksGvH4V1KdCkwceGxV1cnu/opCC6u0+fNmyCPv84pfAJ4dx6KPe\n/P73Njv4qhAaI4/v6496Yai1gZLtJ9fjMUV/NFa5TZ1rrYLrIa/XPNC0Lp+gVlF1RB2ZBUEOm2Sf\n6/fKK7C31PyONYqM5gyvLuK+qz/stn2h5oqWhoRftd/PVku4nrEibHh/lue4LxgMi7eNlpytQJ1+\nTecfdgoel4uCPL2tmohrCATUYiaL+tBYG/rOwCZSbi2BE/WX+E0XpxP4rJ+ljQqBp77DN28VYGXu\nXFj0geGauXgXvhQ12sLjcjFgqPkZ4F2bB4+PBODQZt0jOOYsfdAn2lR5Oz+zF3Ea0XLiMvr4aB5o\nOG83HMMXPxnJA080s72pif+3dWs4BNoqpAJKKHLE5YrwxBnfv8Z779gT9PWmCceP+RZMMSDhlEIs\n2l+a4dvNuoYGPmiLe8yC8YVj7KC7cswiTvupL6qqOC/Oma61MLdEc/xMI6OZQdLdblPxjHiEwo7m\nZtiti7iBJ+gvFtNk1SGiCSLjtqmF/g73xGkjzUbPW5D4ittoQmVxdTUuQ5hhnd9Pvd9vm7ekEVAU\nstx6J6myEr6cMgJmjOWiE7O4crY+K3O4bLhVxIU8cXXphlC5toi4J0ewZYHqAWramM1zd0a+4F1E\nF69a+7zBoGnSWlCLxpTGmODaGm4XyxNnfLn36Q+uwsiwz6EFqeqzzTAXmb8iuifOWMQlEIC7b0tR\nvSdeNzfeCHfdBd69agdp4RtZzJ0bdVeAGioE8Nq/UsNzjIX5vD8lGyO7F71SUjjU4oPZem5N6o/U\nizugKARTFTxTIr1ju+eqoUVGj0KVz0dToyucM5KSqqBkm8MpK/amsH612g6lIp2779b3ab3qg0E4\n91xofGsgvHU4U6eCbVT6mnwWV9eY11Xr4jmlwE8K+iDZ4HGG6VPWmcVOc5RwSmMV0pbB9epFeab+\ngFi8WA2DXLrU0rYv+lPp8xMMwpIlls8CbrzFkSFaxmutXz8YmJ4Oo+vw/mQPvUf68AaDpB+lPyhX\nr9Y9NLWBAJ99FrFLvvzcQ2MgQOCVoWrulKENr74auT2o91ZmSkr4OjWej5ISKJof55s8y0+/h7fC\nCfo7y3iMwV4+CjwelFz9nmqudpsGY14Njagd8vnYtDoFbpoEVx0Hvx2n72hSNYqicPix9iJOUVys\n/iyDXENH1PjM2u1u1EXcyfpg5aElOeB1me7XXm63qbNu5zW0iri0hQvDE0Vvt3g2jbmz6TmqRzBf\nD5SgtlYd3PQv6g0XnwQPjdE/POMAuZ4UmLZVzecD/D4X3odHwzNHhMNmn/sXtLyth0uO/kkdeUPV\ne6G5Gb5eZhhwOkm1lTb4cfhIm8G1xX1hSW+qS3QRN+GsKMVyztc9hQe+zIY1+eFnufauMj7LAapr\nlXB/ICU9SFpu0OQhpTYV9mTx0K0ZzJxTw1N794Zt5La8L55ZX07tX4+g9J8DqDfkOMbyxBlFnIlT\nYg9k9wgRZxRobrd+IiScsnPobjlx30YRF4+NEpE7+2KUoY8XY+6QMfLOlRUg3SDidhz0oyhKzFLv\nVrSHaaK3uSlHoVdALa6QYPGMbbUt4YR+XAqDJ7RA6DlUWQnWtCvtgR8rJy610IcrgUmc40F78Rs9\nb0FFiRlOqV0jLcEglT4f71vE/EmrV3NScXG4Q2wnUPfvcdP08EhK/zSEAwfUUJrGXeqLONicwn/+\nqucTGud+Moqe9Bw1/6sqVb8OE46SPpQOn5vDubYuyMTiVAFC52rNmohKeX5FrSjnVZTwNdeiqJXT\nxq1cGZ5g2A6jt+3YwzLx5EbPiTOK9t59FZSCyLDP/nmhjqdJxKVFbKdxVci74Ha5WLkSKsr1+6uy\nEt5+27z9u+/a70frhPRLTUVRYOHH+os21eBd/Pg/kW3p5Xbz7gtp4UGPzNwgmT9SOyl+RfXGpU/d\nCW99Cb/RS7eVr1C9E8by87WBAAfn6y6WzN5+AiiqBzvVfmDiww/1EGnrwMOCBWCYZ5733oN33rHZ\nSUU6NWUWj6chpNOd7wt7FABGTNA7KHvWR4o4qycuEMDsrRoS6kiOqg+HOW7erGCYtkynPJ2t38D0\nJftN94+Gd5O5KIqiRIo4bfLxIISv9YxRukdi9WqoDD3Uavx+5syJ/J2SDSlqCOeS3kCR6TMtFNTK\nrlIXLfeMpeym0bAlxyRirBMia2Sec5CB11rmpJn+NWmTK+g/OUp4d0jEBXL1+6alOsV2upFdu+Bv\nU3rDplxzNVWASVUowOgzG8LPeysb5maQX5cVLr5jCvfLDOgl64c3wGGqnQMNKbAm3yTUeqWkmCIZ\nwkJgWSG8OwjqPLQEg3xt8bhp87hZBzf99bqI8zYvwONykZ+ZgiddvwbLyhSUPx4F1YZrNiUIP96n\nhon2bYGnVpM3wiCk3hgCj44iGIQnH9OfC4PPqKX/77Yx/EQb0TWwKRwCrd03IyZFqZj84FgCTeo5\nSyn0MnKS31TJOcxxlTDWcAPcPoGXX1H/G45I8QfBp+f/7jN44bL6+UlPccNg+0G5Ja+o95G1unFA\nUQgG4cEpuTS/cxjbnh3A36bp102snLjvjsP+uTXpW+CJixpOKVMMfKsJV3DqgDLpPZFERFxrFcPi\nwZhfZeqAZ/lN+QkNVW68wchqV7GoqVOgxZ1wOKVRpKVkBUmLknd1/vr1rI8IuFfZtk0JjzbnDPST\nm+0ixRCqYy1mF+2ha8qZKvDjzo7uqQE46PWyuLqad+N004U9cZacuFjhlEYRd9nGjTxmySHa1dLC\nhoaGqPP0KQo8PDWbxk/6UflOP667jog5fljWO/x8juaJS88NFfHIshfYsea6C/PxALNXIIQWmmZE\nE2/W6pXeBjeZzepcTsaR3BNWr6YuEIg5GbTxeI4bmBVTxBmvmd69FegdeXw5uaHR+gJfOG8iUJWq\nzr1kg9ZZURTF1ntiZeFC+/VaxbqAorBmDRzaG7qic3wc9cfS8HbLPosUcd5N2bwzIz+8fPzl9aRl\n6TbXwpDo64Uf6CehdnMmPp/ZE+dxufDW6p3RrD6h8+/C5I0z/b5X915ZLWUtigCEy7C73Qq9j9cv\nuPKVlg69QcRRoIbJaSJu3CT9/tq/Xh2w0ARki40nrqzMMNVIYYs+hURmINypDAZdvPii7SGydrGH\nhz6zH/Vp/tos4hoaCBfgSMtQ6NUL8gydqFSXWno/Y0gLnky1ffv3w669aptL9wTCYWyuFAUMZdnn\n3jFA99AO1cXFmjUK1ttVUeChq7PxfVlIy+o8uHccB2v182YKLwPS0xWOPq2FPreWsffSrXDJLphQ\nBXdvIv2EanzBINPPz8eOYC8f+R4PRUHdw+Gr8USGRQfh4zv7qaHfFlLy/DCxGgXIGxiEG7dBapD+\nQwOc/PyO8HYlX2aw89xj4KLvwbuDzIOCmQHdE+fC5I1jSR+10EboRGW43ab0B6+iwIvD1II7TxwJ\nN02ivCbI8atWUW+4R2oM96qRhhp9X+7MALkeDzkpKaQbolCefgZTZUSXS4HrtnPMiFT9HTaghYvf\n2E3/7xsObO4A7nm0hT271N/IyA+we9oaFjRUM/Ikm37E0fqDUfPEnfLzZsZeUaWKsQe+hiztBaHb\nIvU7jeRkuEnvbyP4hjXCL8y5DHdMU691v6LA0t74Lvge/PhUHro5E3wu5pbo12hmP7866BxFxG37\nMgMUw+CxISRz6VLgG92tufCddFaWtLCspub/s/feYZZVZdr3b+998qmcQ1fnWJ2qc9OBLqIIigoY\n4DWAARSM+KIgjpgDzqjjOIqiQ1AZBSRKTtU5d1dX51hdXV05pxN3+P5YO51Q0IwynzMvz3X1Vb3P\nzmutvdZzP+F+Ujxx6QaUCZUSUlnqh+EtTKaQI2WTtwrEfQfYBzQCrwA1rn13AMeBI8Clf4+bucGw\nBdwk3g6nfKvkf0pO3H+l5tH/Fvl799Hg3+EDGtcTF9bwh8DjMxeapEz/mH7Ok9MTT8CTF86Eq1bx\n/FNvDrC7cZkS0vHJctaip0/39fG9cagme5sdq3ze5LjI/3KFv6WDOMuimt5HbiXfl6tn5EwdT2NK\nK9+yhbWNjVw1XqGnNLHzKNzhlMbrs1MaLmUzWxHaEq94d0sBeq6/P8Wi3dgIx/c67fPUU4J5L0Vi\nik1zblGiX3XgAB39znPKYZPtL+SMQ0sh0g2Dyq1biaVZRUdU1SkIrAHPVtr7/PMdpWPLlsz3HtU0\nqKtLocxvaICBq5cwfMVK7r9HSWHY3Gk+TFiW2TU8nJGDAqmeuJJ88IwTThmPuwCqolNQKKV420Ao\nzOGgxLCmgceAGa6BfDA7q1lZPAQvl9HVGMjqPUmXo0dF2FO6WIpLwkj1BlWsHqVp9lkIiP2dp5WM\nnNBDvyhDt1gKZw2z+ov9tiKrYeZFmdtXTs2noEq0kZGUOXZMeN8s8UkScukqeztYrDoeh/LxFR8r\nQts9mv+puZmXN4zvkZ4wVadyjdOnQ40CxNmg0lXmwChMODlxwNKlzpzUd8QHSacmmQSMDEkw4LXX\nqZSyJDVpSqQLJKV4p2qdyePoZj8cdcXGXeZ4qiKHwyn6kntuyi3WkST4p0mT7N+8kqDe9yhQMsdR\nME82CkVrw/NeO3dy0tI4XOBccOiUFfZWDx86Y4emJZNSRiHmHTvg+D6X8WHAx2OPOO2Wcvw/N3LV\n7sPc9qcBQvk6eA24+ST8dB9c1oVPFiQlk2bq5BSn9alskAxoFHo84AqnVIc8mQaYLSV07XCBdZeX\npPyWVvDpGJiA/JqzBJ7dzLfWdzNzdRzvrDSDnyHBL6dhOsOFuEEcwGqXFW9LCQnd4Nn+fgrM2mpu\nEHe23YA/TnSOPxvi3p8rRHQ9JRrF+l7SZ+5RF4jLmX4ehR4PuR4PHtfa97zbY3rtGb62pYPAh9rZ\ntXRpigHk2qnFDH9nL1zohJL8+A4n5HFafQQC4rrzV2UCrk9eGmLb4sX2tkeSkLwGq+/shrub4MIe\n5Cwh1sqcUUFQU5UKfCSfjr86Duf1w08dcqr+fom/PK0JFtdv14rwSF3ihYf88OBk1p90vrVgqagl\nSHV2ZrPhTg90+e2cOGstSBhGRhi6YUj834f77YgVa610G1DwaRTmybY31pIJCxNvGEr2VoG4u4GF\nQB3wBHCX+Xst8EHz72XAL/8ez5DuiZNc/7fk7XDK//fEitsfeJ1ixm/LucnfCoPPxmL4XZ64lFCf\nsIpXlsgtdO7S3q2leFANw8gaqhePw6c+ZYaHRDzccYuPN+M0dFtG5ZAmaM7HIc84nUWjNQyD0RbH\nCp87KUFQUZALnTFnhUnqhsGIqtrhlOnyRiBu5o4dGYQKb0ayhVNqWcIpj0Yidt6b1eJRXafQm0ma\nUWr+ZnnirjxwgKddLsU3yquyZNcu4SXZcUc1XL6WF75WxpFOpw1fTfaaIC7TE2c9Y0dax+dt2sTd\nZ0S+3QsvAN3CCxIu0ij4jIMuLCu/e3xZQOWMaQk3DLj5ZjBGRP7Xj2730X5W9GPCMOy8l5CisGzP\nHm7PUq3b3b+lRfK4nji3Y1UpUPEqmSDOG9bxy5IDIlzWbA5kgrhoFB77UA18r5bG62dlBa7pomnZ\n6xzaIE7XUwgjLlvrEQr1HMdCs2cPnIhERNueyKFvi5mDKBusubuNuEe1PfRWOKUF4sKKQtVsZwwc\nOJDqifPKMnFXDmCgWGN+2FS661KZYqZf7jyT9U6WN+xMLMZ3T5zh4L7xVZGZ83SqljgK1si+HI6M\njZG/aZOoEdXphATrJoiz3mNqmYK3SswdelKG5rBt6Oh6pJR/WT4BrlrNv9+YTyyWmg/HxDQlcnr2\naAA+6Ci5LVuDKeUbPGv7CJeIdtMjCu6qCm4QV1Aqnqk2HOaGigpAtHHCMPBIEpXzHGX57N4AFcdK\neOQnTi7w/HdEYVmWkIGwSv7FAyneODfBDKSycVryxDM6qtlOKZ9TdRSvLKEZRlb2XJ/pPVRkienL\n0xaD3CSGZIaMFiRtwiCj30fzDbUpIe08MsH5/zWt8NwG+OlePvLXMwTfLQ40DMOefwyvzqisUuDx\nEFqTxlQEoMqpHvBQGoibP+QAy14/B/fKRDSNKYEAw5qWEk75yANKRh7q4w96QU/1uln/S/fEjfS4\nPByFCQo8HqYEAhguI9n+fa5nO7+HQEXCBpLW1S4sKOCiwkLeVVoMH8gEWgAzL3C+m6oJwITUMf2N\nD+SxwqTGTJrfv2oYqevk1a0Z3nVl0QBBWcZXmdrHgckxAh7z3LpBpn3CGeT3Px/jwQekzNprf6qB\n/c686StJir6ZMgbTzYVmST8sco3v/QW2YdNaUZO6zt7GTD1lbJd4vxPRqL1Wur89uTCJT5YwpqQa\n/6YsShA///yM67nlrQJxbqdxDmD5id8D/CeQBE4DJ4Dlf+vNspUYeNsT99bJ/5ScOOtjSc9r+XvJ\n1qEhe5H5R5Nzyol7E6GH44UpnohE2P0GiWMRk23MukZbPM6pPtfEa3pZcgqde3T1GSmT0z3t7Xax\nz6JNmzhsejr++pyWUq6gv1filVfO+bUyQJx/HE8cZNZ4AlEIWH/JybMKm5442aV0W4rBtYcOUbV1\nq/1e6X3kvpcvR0Nx1f+ylHy3R9Tygp1rvb/xwinTPXHHXHUVrDce1TSKPJlhelZORzwNGFrS1HRO\nj8bRo/CrX8HZvxaKBfbZSjY84qq9FxZkEdlAnKWMn80SUtlsAu9HHnEBtEvaUGc5HX/qlACQScOA\nPh+tDxez9Uk/7G60c0oOHSLFiq4mJZ5+yANbi7nn4glEblgMB/IIZWkPS9yeuNICCU9edk+ce3FX\nCpPivdNAnCckSHgsS/vHL3FKXHAglazlsZ4ebvnZsMsz4oh39ihc4UoGyUsyY41jrMiCRVNYOd2M\ncEssY7oLaOzcYzBjxw5hff6D4zlYeHmUxXM8RHSHZl01DDQcpSQky5RNddro1KlUT5wMRPY7bt1A\nscqlRUUY9fVwaZftEeTKNj53vTN2bRBnbk/atg1OhdGS4jmkiphN2GDJzLk6VfMS4BNnJc8G2HdG\n9MmIpomcKVO0aSN4ZdmeX/M9HtHOlhzNFR7D5jCnf1yDGhdvvPevIeo/P8j3Nzoo3jMxzRM3NdPD\nS0hFWt1rA4DEgCcFyAfnjFI2xxk/7m/SPdYKS5xvxJpTPJJEUhekQjULnGuc+l0ZnTfNY6zDMews\nuSwO00ahNM3YVfc49y2cAdXOu6QzVGYzKuzepHB/Rxejo658YY8OpWKOVQ0ja41GyxOnANPSc6vM\nfOdcj2lwWOR8lPFDOVx1lSC44UiuYFm17vnBVlHPrW6Ih8Kn7JIBBs4caSAMxoUeD0Xv6SYYeoP1\n1Z0TB6AYKWQs219RSBoG+aqXtpdz0TYWQ1wGDR65L9Og1nVWhqYCRjWNk5aLZ9QDY0pK/mdfMslA\nh6McDw00UOjxUBsKEQ9mMXgrOkwdI2qOA7e8YjL4Fng8MHMUpqYZGRSDOeuc8eCVJLzvc+abivph\nampST/GYIM59JyOgw2dP2LmHq1aBUTdIUFHoLUy9Z2BKNMVgXLDUmesPbPHy4nNZjKiqDE85JCxy\nSUIYCBTgl3vYsi8JP25KNQ415dvP6A6n3Lcv8/InzPDLEVfNv3QQJ0sS0ozUd6lcM/aGZX7eypy4\n7wFngOuBH5i/VQFnXcecBar5G2U8dkrP2zlx/0+Lu/7H31s0w2DV3r1sypY97pK2ePxNgaX/qqi6\n/nchHxlPxoOqlzQ1sdRtjs8iFkiwGLKuaGripbMu9BQSlNyhPOcuvYPOJG4YBs+7mD0GVNUGjn94\nKfOdN216g5dxSUqamwnilHGITbIp5jfcAMZJJ8+kYH5UKPJZPHFbh4cZ1TT7vdKJFVI8cTk6npxM\nCnr3GWvy88lRFBblpOa5jCeW9T89nDI9J87+blR4+YEg/HgWr70sUZTFE2ddM1vbQHZPjiX+dzts\ne8eOMW6ODwBhMUYIuoDPsC7qKZnbbVnGv6V0bN3m+nF1H31ynFyT+l3XRQ2v5tMGfGopp344kYc/\nV0b4z1NsZSibkvnbH/jhrrkMNPtQT4bhzvkoJglAutFDVV1jTTIoLVDwusa7G+Cle+IUSYLiNBCX\nI8bqiLmwfe/dJc7OY7kp6921hw5x35+y909wxSB8qhmW97GgziDnzmNUTU8FTulihRCNjhocPmKG\nBcoGS6yKDNPdTIZif8N2FdY7FOSX3DyCT5YZ0zRbEU/JiUN44komOc9y8qQZEnwmCF+o46nz5jD2\nrHPNYEXS8VZUxuChbUz7cxOXfquXi+scg4A1JlPm5aMOCJPmDKco9wALlxiEAxLMdiwtjduEInzm\njAEtpgdQNlBnDOORJDusLawoMNM1kbxSzmDEgCeqMnI0dzyYS+8B51l9k1JB3I3nZQmVnTKGpJDh\nfQTIKU8SKtMone18G24l061IFpVmgjiL2MQjSUxaMH5ES7C+j5rJIh/R91HHIyOHVbiwW4QvukBc\nuicum+LLkI+tTSrrnnFZTypioEBQUQSIG88Tp4sc2plL0p7Z9OZYxhZuOE2g2BljW7aI8PwUL9wF\n3VDifH9uk7CBM450hJGtwOMhVK7y22eiLPrEAFfckcUrB5meOEjxZO5e72WwX2L3h2fR+tUZjHxt\njiimfscCAdgAChKpRpgNJdx07BjTt22H/5gM71kNV61ixxOOkWfOi43Etjq0/8ncBIUeD5MDgawg\nTpkSAZ+eAuLSYVChFQJ3QWruQO7CUfJcFQa8kkTONZ3wueOsvLWHlXe3kS4WiHPPoAbAuh5KftNE\nwTeO8dJLoMqidI17XAH4J6eCuLy6iO1x7TrqY+sm15i54zBZpTjuGAi8BuUzVPF+812L9P58EUr8\nZBUvXDcZ7p1Ce6dBi1VWQjbsPNKhLsWui5kwDHTDoLnDZZAy9QXvqj4HCM8Z5v1rXIbMceSNK4OO\nLy8BFVl+/xrwNHCn+e924GfADeNcJ6uGe/311zN58mQACgoKqKurs3NILAu2td3R0WCeVS+AZ2Bi\nqwAAIABJREFUW2MjBqBUn49o+QaTvjv7+W9vv7lt67d/lOcp+cUv+Eh5OT99//tT9pctWwZA986d\nNAwM/F3vfzIahWAQ/Q2On7B1K3cPD7MsL+8tbY/dIyM8P3EiLy1cmOHhyXa8rkPyeAGE4m/c342N\nDASDYMatZ9vf8Drnv/raa3DoEMcWLQJg3+bN0N0FvAuAZPs2hnfphPLmWE/Mts0xqpevAODl117j\n8PHjMGuWfb/9fX1w9dUc2+3FYT8T93vhhQYuueTc2k+ANPP84BxCskysfyNQCIj9DQ0N0NhIYuXK\nlPNDoXoe/oNinz9l3hpy5kY4s/0IWkQFPgTA7t0NgqrcpGRv2rwZWlpY9bnPpVxvaKjefv/Y8RMo\nxYvsbat+jXu86cXF3FRZyfOvvkrD8PAbvm/x0qUAHNi8mYbycurr69GBU1u30tDWZh/ftGkTtLTw\npafXct9P8oA9fPlZuOrfamEeKf2dMFkc9wwOQkGBff3SwkLWras3Q8PM9s1bLfIQaABZJ3R5CfGn\nK4AGNm6E/n7n/YW4ttuOokhLTU+c2D84LMJMXnntNdi/n57p00noOltcjBweSeLppxtELTPqxWIe\n3QCNBiWTVzDSIZ7n0b8Y7GlcZxJUiOuP7XwP7Vuaaehp4Kmn0p4H0LR6UUPJet7hetr/eRJc8SC9\n4bBdZ66hocH0sprn+1+lcbOBJzcfSTIwjPWMjICqivVr/Xrn/eXCJDs3boPeFkTjm/eXo/ikpcIz\n1djIEUAqPQ+jxw/xjTzwAHziE+J+6vZ9cEADLsxo34JL+xlu3gnX7uTZz3yG5buHkA6tB8JAPc3N\nzvi5KRjkWDTKd4aGoLmZ02VTMXTx/qHyBJX5a8VltfVAF1BP0z4JGhu57Y8acJHYv+AJkqNJQtIS\nxjSN2N69rPJ6ed/FF/ON06dJ7tkDqkpo4kRKJzn9ffJkPXOjEtw6CH2NqNSbbSr2h6unouC1v1fq\n6oj6Rhnbc4TWiX3grYekTGdnA3/9K+gLp4nnaWyELX3ATAD0nJeQ81V0Pmb21yt45SR+eboIW20S\neTYHti+HKfC7n24GAuJZFg/A0T2MtYb48sc+xqKcHBo3biQSPgHcJK63r5GZpQYkL8joDyOuwPHd\n9nZwcoyIVXS+ro5frZnEvb5XMBKKM55yX8JoPAtLKmFDacr1SufFie7bh6F0AVcB8OqrDVx0kfh+\nBYgTxxeXOvNbV0cHVFbilSSGdu0irCjUvKNC5KRGNtnXR9HJn/McxjtaCMlXi+aa9DxXfOkoW7uW\nUXxlLwc7khzduhWqLXt9g5kXK57/mWcaTMNFPbJPR5/1FOwvAOrZsB5O9GyzxxNVUWhspLu9nWnn\nny+UdVf7AKh796IlEsh1dcysU1PaA58OjY2cBN5fWsojtT3U/fBBtv8+F2OD0B9uu60BTuuAGWEx\n/0lojEJdnQAYe/eKZl+yhDX5+dz//PPQ04NeV8egqtKxYwfxnh5mXzeHZZXdhJqaIFQIkYtT+zuY\nK0Cc+/kXD9j7929ex9EP5xM/aVmg6sX8tLPJ2X5vGwReAaaL7a3FvPbqX2B/LvzeHB+Jjfz+Vp0f\nvv9Cioqg58Ze8x5ifzwvzrGtW1l52WVmzrGrvQCl5EW0xjNEq6rwSBINDQ0kDh2C2lp7vPR3dkJF\nBVzRAQ82Q1KMz+pr+jizbQe0t0NdHV5ZRm5qhKkqy664gq6EnqGvdO/YwcFQCG2+Wc7B1T65c6P0\nRzawY0c7SUkSIE5+Fei0n9fwv4q+d9R+voED22FCC7S8K7X9py2Fi7vIv6+doU7X90QDI31n8Ep1\n9v03mvoec4bF/XQZWuo58rsS+Nlh+miHffV89KDuXH/qEiqqJM5uMKMFtlXD7BGON2/lUzt38h+7\nFwGzxPH6APA+/HkGiZt/S9W+LhT/AHt/WcHjb5BC8beAuEvO8biHACviuY1UkpMJ5m8Zcv/99497\nQTeYACgsdLZl2UCqqxPhlLbxvp5ClzUg/fy3t/9nb/fNm0e0sjJjf5Np+s5dsoT6RYsy9v9N2wMD\nsG8fQ6rK+97g+KoVK6gvLx93/99je6S3lz+aH/u5HH/99TD8AODRiTwpc/nl2Y83DAPq6gi7vD3u\n/RKAy8CS7X6L164Fn89h/6qrwyMvxbJ/ehbWUbbMw/BzlregnqKqMVRDWE1XrVvHsN/vcPXX1TFt\n5kwMA84cdU++Qvr66nE/Qrb3t9gMBYgT+7VAG0FZpnD2SkCMp+Fh53wrnNLavvVW+4rkz4zytT8N\n8KRusHDNGuTdw8KUBfh89YzM60U9JijTZ61aBYWFgrrbvF487mKkU86ndHUBXe1J+/piXwNNo6N0\nFRfz1Pz5/LipiVyPB9/ixdSbAM39fJaFuHTZMvaPjpJnbk9auZJ6k7xANwwKli6lvtapAzRr1Sqg\njF/dJtv3B3jmaxr8xp/S30lzfMyYM8eON6xdvZr6sjLa2izvUz2+PI3Ejcfhn2cD9ZR+uhXvtA4G\nzOunllBI7S+oh2VBV06c2D9istfNXb0aFIV7Ozr4/IkTqOvWCY9MQwMeScLnc11v+igsXyjaZadK\n81Zx/T2n4zzxF8m5nykH/62c+qYp3HWXcwlP7hrUEffS6Rw/+HIRXHQhOec71v3JK1bwWJPL5Zu/\nmksu8PKNvXsJ5cDYiDh/dFTg4JIS53pSQZLV69ZBfyP83LlfoGYQv6zxzqIiOi68kPoFC5Dn9KL1\n+IH61ELdgbWgi/lvwiQdaeZioofDfOhTMV6dHoMqoaxENI2QolC3bjUNDwhA3twsxtOYpnFs40YA\npq5cCfn5nHnOZz9P5Yohh9Xw0jnw07WQhI42CYx69u8S95BkA+PWKmpXTxBh1bEYOYsXs3nZMmKa\nxp3NzQSXLIG4CJnzTXb6+9Qp2PiHEPS9g1QR+4NVJ1AkX8r3PqiqTFixggvnzBEAoEWA06oqOGSc\nEQfNWgLdzvrAhbUEFowQ8TZTd6qatsuqueDSSZzo6DAt8eL6u19R4YNwfP9FgPBSB+r7iNXVUZKf\nT4Xfz3Xl5VBezocqKvnTc0NwKB+oTyk7klu9GuWKDgZ/k/o+Xr9BsDIJpU7ReVmG0PSVjB1yEW4s\nW4hUV4IxvRt+PQ0izvuXLY4wsnQp02rK2HmP+K2lpZ415wvmw+5uv32/0jIRKVFfX8+m06fh9Gm8\nkoReV0dxIEDIK8N72uE/xfEL3zfKvs/vYnnhBHYM5xE081fCS5Zw9Qem0dLaSm04zMHyOs5ftgwG\nrQrm9Sne5upq53lD1QlG182F/TNE/+0Nw7S1CJACVMWgro6ZkyejGgZ+SbLBmyUFS5fSFomgAOGw\nRN70lQyfMD0a5/XZ89dfzJhO/5JFFOVp9G0Qh5w65TwPdQPw7ln2Zp6i0F9Xx3tLSnh8njCqvLRi\nBZw9K8IpVZUPnX8+r7a0kDCZR+evWQPzfbA9tX8Jbhdzmvv5ixMwZSk052AYED+QS9b5EASF/oda\nQZ4Bv18NY0BnkHhwNbxUm3K8moA//hGmTwfa32nvWX5hko76+ayz9KOw871ZEl5dR6KuiIhJrlJf\nX08oELBZj+rr69na0iImi8Ik3F0Ez1fymXVjHL1skDmlq2zXq1eSCC1ZQl88jm7mvdnfa0MDhmEw\nceVKpofDdrSNXFdnRwJ5JQlp0SLWrV6Nun49AVmGS2rh0SVwHKoWxMm9djZeRaLNTLmIzp8Py6vA\nToM277e4FWRYff0Snv2hm8m0Hu/KfY6Xt66OhUuWwO7dENApnXcePU3Cq9b0s3JssA8c2ic715/W\nSfU8hbMbzO1fiD+b5tZS++tj8LIV2VKPb3qb/X4sqWNCfS65isI3zbHxwAMPMJ7I4+7522SG6//v\nAfaa/38KYZ72AVPM49LIY9+8pIdTZiM2eTuc8u8n6ZaTfwQp9/kyfrPCwl6P9vu/Kta1Nw0NMXv7\n9tc91s3qt390lO+Pw3L4ZiS9pk3CMFLypV6vjxobwZ4TVDmlAG66WO85XrjcuXBBxnQdjufAnfPg\nO3Ogx4cx5nycRliElQTTwsvcFO5WyN+gqf0kDYPubhgdNKcwr27Xi2lpyc6qZ8nZWIxKk2fcHU45\n6hekJMo4xCbp7IzuELtFX+zBX6yR1HVCsoxe6IQvdXUZXHnggE28YfXdq6+9Zh/jzodTcjS8soTX\nVWJgcBAwYMfIiE0cohoGuYoyLrvk/zl8mKW7d/P7zk6uPXzYZr9zhxdrZJYY0AA2laCpqb0bH1HI\nuW0JxX2OApnIEk5pgUd3KGX+lARc3gn37eDRrREKPtqOP1cX4UDnIkWJTGITs+/6zDFhvV9PImE/\ng0eS2OYOpax1GrpiqnOtx+71o5uhbf7pEWSvsKgO7g+xYwcpZBCzb0kNGSpeGMH7Dhcjwi+nk9Sd\nNn6mv58vN7m++RxVhO0C4VznuJdbRaiOO8RNKkxkzYnr9kfxSRK/mz2bZxcsEO862xms7npnerPT\nX8tXG7zrF518c1sn130hnhKOFtV1grJMzWSnL7cdFfc94Spi3j+qQ0eArkYn1Kd8QYw8a8FVjNQQ\np987bIfzr4jApAiKJOGTZfaOjrLPVLYUSZBVWC1S5vVSXO3UgWpthc1/cN7FX5LEsnrPmAGhSYmM\nnJ2IrhOQZUGSUOlMCqdPw6GeONwxHy5fC82mkUo2YOYoXq8EH23hJ4+P4Tu/H48kCYWxbtDOtes4\n4YFdhRza7rXPza0XoXPpz1Hu88K3DwqmyICWsm/m1UMUnp8Zll8xVSXgzVTR8qamhQ1PHRPzcI4G\nNzSn7KquFwx+gSkxm9m1rQ2+u6WLqq1bM2rEWWLlanllmc5EgrmhkHj/T5zind/qpfqO03z6Z+Jb\nius6ccOwQxT9Zjhc0jD4VGUlV7e1CY9ZedwOa+vsdOr1ub+t3JokLHDaYmhvjh2GBtgEMQmThTFb\nOKX17LIk4ZUk5t99WpBpzBqGS5zvNGAeN6xplE7WYWGWsMf3n03ZtMb4ilyH/dOaawyccEqvLPLy\nErooW8OsLHnj+WrGOAFgXWbJmNAnW5j1eJPwvF3TyhfvGYKfNYLfZOdc7rKCfWUhtIYyrvHkk5gR\nBea7LBzluw+NEt2zxwECoUxFOThLdNSY5oR/prd6t9sqUTcEtx/hXTfG8CtySt6fV5KcsjWGkRWA\nWOGU1lfiJjjxmqGyqpnz6JEkoYT88z749gGuu78TXTLBvSlHo9HUmnGWmCQl869Kz+PTiVeOpeRb\n7nQpAtPrszNWZsj0USYsz1REeg8GaHqgMKX+nscKp5Qcsqw3yoWz5K0CcT8A9iNKDNQDXzZ/PwQ8\nbP59DriZN1euKqucS524t9kp//fJobEx7jCTNrLl67xVIG7Bzp20mG6TP3V3i0nidcR9/xf6+7mz\nuTmDDv3NiG4Y+DZsYL0rkSah63ZNGBBW9fGAl3siB8H65s5RGFZVkWtkLsQwfpmG8ZgW3dI3qMPt\n82FLCbxaDl+fjz7qAnFmTlzQpdAODLlAnBlDDlC4eTMg9rlpp/0zIvirhMJpGE4uT1s8nkG84gYt\nKSAtkCQoy1nrxEEqUKneuIXtjU4fVsyPkzDbKyjL6C5wcrYzLT8qy7h058N5c0TugceHrfBpGhB1\nktF13aD16QKe+noRg4cy4+ZVXec/u7vZMzpqKx7W+LDuazH9pbNTJnXdDMsy5cIuZEWcM3rWR981\ny3j0UbErEQMa82lc74OxVMYvdxRI/iSTKnlyhJpaQQXvGa8Oz8dTFVG8OgRNdjaXkjFq9o0F4iww\n25tMptStSwFxLubEyqnZv8GCD7dTcZnzbf34x0LxBUAxmPnBQRZfYirSAY0pt7Ui33yKYK45PlpD\nDO5yPNfdiYQgGDBFzlGRJAlZkgi5xvz7dx2jL5lM8VKQb+Z5+dO+v85ASt4HgLfWUUZ27HCNudMO\n8JlTa1Dg8TCoqhnEEBFNIyTLTJrinDp41sOJsSinolHeVVwMz1dw26JyuG4lnS861uvyBbEU9jw3\nEyF7nTCYle8RSo3HCoUCPmJGKShmHpmVTzgxEMAfkKDMYQjtPmnO816dtY8fhXd0oFzczdNPg64Y\nqc9gSkCWBchx1Vs62azzwNdyYVtx6sHzhlBCmj2vhczcKxvEBfQU8gm+7fJ4LBogz6S0T1fOA7Is\nvCxfPQr/uY2JM8VxgXkjzP5IP/kz4xmEILlT4lmJOyZd5FI6CxJQO+ww+b5PKPnMHmb1P3WRM0V4\nNONyKkh57VVxvBvElbtBnHk9629dTo7oLwWWfmSEvPd2UxgQY7ovmSRhGgAA/LJsg7gSr5fPVleL\nsaoYeMucefHCFw/z+ePHU0Bc/sSkyAkKm3NVjw/2OOMnb4LK3VOn2kXS078BcErZWIWjlclR+P0O\nuGcPuMp63DlxIh8uL2dYVUVOl6sUAyCA38q+lJ/cLLSWuGf3QVUlz+PBJ0nc2dzMH7u78ckyN12Y\nlrcsGZAzTo7hle0p5Q9WfHIQz0fOkDMhAV84DrecpPbdY6K0iCl+d3mCYZcu9MEz9n+3bjVw2Q2Z\n8blOdK9gfbbX8XDanCgbhGdGyVcUhlxlDtLX/a/U1PD0vHkpv1kA1j2GA7KcUrYmm/5ggThrzXcf\nYZHW3Hz8OAau7yxPhbW9ePO1lLxaW+ZmKfxuGgu8JUkK3uP6EBYN0qknUsDnjWYUDcD5nxizy2WI\nC+hM/1KWgMJZI1QvjFM6JbOfh18sTilL4ikS49K6Z8JF+PRG8laBuGuA+YgSA1cDbtPl9xG+8dnA\nOZQcfWNxgzjZYqeUpLfZKd8iSQ9P+6/KgXGKJ7tFNwx6x+GMf6q3lx+aFOJjmmYn+VuiGga+tiDx\nsdf/GE5HoxmerdeT/WNjNoBqPwc+e7cHx/IYpjNmGobBo93d5wTujpgmTDd5QtIwGFJVe4J8j8fD\nTSlc1Y5kI2mwCuCCA1Z6k0liqg57Cxg5nj3B9lymmaf/7IF+FzPesVwMVziaZoE4lydueEhywE5a\n7Rvrt9tecRbdgmlxAjWOhdpiP7vu0KEM4hX3M6cXXw3KqcQmbg+Zuxhse7MCcTHBBEpUCsoMO3wm\nqCiohc646O1ObSULRC1Zu9b+zQ3iJJOtU5Ekp9AvgKvN7rnX4PA/TWL9g2E6b56bQRRwlwtBRcwx\nZZXcsNo1f+MmaA4xGkkFmX19Bux1hZfcdIoLvphqpb7pJnjtNWh9fx18aRH/em0xXLMKXih3KP9d\nOlG4zHmPMU0stDJk0E0DcFln6rbkeNXcnrjIqGjX/jQw2pNM2iyGY6pOiqPc5Ymrnpr9m/csGqL0\ng91YYTEWYAWQymIEfPDFBwb5VcMQxY/sJjpjiERenIs/4PR59xMO0UhXGoizajHJpHriGFPoTwdx\nBS6yDleNMJb3Zyiwvtljdlvt3+8Kzz3tWOXnzhVMcl9vbuZrzc0pisKAqhJUFIryJTxmsXojITPj\nub20xuOMbMyHH80mNpJ6X49fp2yWuNl6KzRsUpZ+lQ2WrBXX9UiSIPwAm85eliQknPE5IxgU32pV\nFqA/cwQlV4PbK8m76xjf0w/zfH//64M4V+24518EXi5PPVA24NozKJJkz4HW89ggDuB8Fx3uqEth\nvqDHVu7TFbCAq6+UgiT/8soA3LeDil8dRAprhBQZVqYW6B6oHLH72G0emXHxGFOu6Rc1pb56RNQr\ns+YmBbjlJPxqD7OvG0A1DAKyLAwcLrKW9m1iTLhBXOXrgLg8j8d+Fs0EaHU5OfzHrFm0mWugLx3E\nmYpofX09VT4fz86fL8JDTdl+IsFz/f0pIK5wYlK8wwLXfOPyKnkr4/hlmbgJ4sZjp7Sawmu9exYp\n8Hq5uLCQEU0jV1HY8OUqyueaH41kiNpzaRqyZRALZwFxMmLt9MsyXkmyvdc+SeJbl6UZC4IaKJke\njBxFESGJP9vLhE90wA+buOJrg6gYKWvgQJquE141JIqtu2XyGHyimaJpon8SCclua0k2KJ0XI67r\neBcvdtbENE9czpQYvqBBsdfLoOp4DtOBQ6Xfz7tKSlJ+SxgGXllOYU8OyrIdGhnTM2vBWsDsLz09\nPGgygrmPsYh2ftvRgU6msSS9TIktJYkUUiIWDNqANappVN/ainJVGzNXx+Am0UjZxhZAWaEE/7YH\nLuqicNkI3N1E+Ye7U68fVmHOMD6PxAf+pY+qBXGY4ui7ekvIYT/lH9MT998qGeGUliXmbU/cP6z0\nJZPM37XrDZkb7+3ooHScokZVfgcY3NnczBSXyd0w4EdfCpD48AoOvnMhpgMnq0zZvp1bXSvJ6Wg0\nAxCmS+ubYIJ0K/+WgpI+HBtHR3n/oUM0ZSkSnC7WouT25FjhJVYNJ9UwMupmWbJ/f+Zv7vAr6xlP\nRKJ87FoFbq2j+6N1/Pa3qef8ur2d42/ghQRY/8z4qbeKT8fwisU+VOAstgN9UqYnzgA6AhBVODA2\nxu4DzvFF0xOEJjp9cuwYNEejtpfGLXYfGEYGO+W5euJwMVKWzBYW84Rh2EqTke+0fU8PKfSe2UJU\n0+vmeSRJTM5uEGcBAVXiO99yLTBRhV/+MvUdXzWNDBImm+DhXL51dT7cNZf+NlnkTH2nFj6+nF0f\nnG0SP8FtJ0/y3DOyU4No9jCUxVn/ribqf9CBz2yb/n648ELMHCxTYgr8aDaHtgrF1g3ickrFuAzL\nMhErHEaSMpjFKItBaRze54QxeRaLxlEkKSUULTomgQb9Zh+PJXTQhfHBKrbdcUpx6PvzEyKnxpTq\niVkWhQkRKIkjzxqlYmYWprYJMXyyjIrOlPkaVeUSZ+NxFEniyo85fT60voCxMfi3s2d5oKsLBh1l\nXykQ1033xBFR6EsmU4vDFyRQJIkavx++eZCqmUnRJ5d1ZCgZ3hwNyQwZ1DQJ23jc4nji5tZi565t\nGhpKsTYfHBujxu+n2Ou1ryMaMUBbl86Ob1ZlthdQe3kEn188y/kmuU2KJ84+cJjiQkfBDpv3divE\niiSKS+9cvJgZoZBQLiuzxEbPGbbn0AFV5fddXYxqGkrmkQLESVKKJ+7VF2WHGXLeEHzjINy7C1YK\nIBhxeXIzQNzKvpTCzwAUJuCiLjukMKsnzpQcRUHz6XinRFEVcf2gLGd4fQpmObU1U9j2fArTv94K\nD23PAH5u6Ukmeai7m6CiCAPHYof58Oy2IOhpIK48NWzN/detKEZ0naTpZfloRQWDZu1LS3G2QJxb\nEZUkiXcWFzN5oqtduvwEZDkFxBVNMnt1jQsou8QGcaayPh47JYjvyyNJ44I4672GNY0cRWFtaT53\nPTbImp+0wj27Rf6cKVcWCxBme+Jc912Tn0+xx4MENpOnT5bttccny5SXpwGCiPgG04251jfBlAgT\nbu6AFf2EPYq9tliSDuKC+To173KAr1KYgO/vB6/BpBWZa/TEWpVQWOgNhjussTz1WytZGsEjSRR7\nvQy5QFw2YwnA43Pniv0I/cQnScwIOSA8pDjlDuK6ntUI7JEkNrusp25vXfp907fTy5SkyC0nhIez\nOgJfdGpcxHQdX8gg+MVT3PDHLpgu5i5rbKUbZPIUBYqS8PXDzLnnONQNkjB0+MxJ8OhIsgGfOw4e\nMRaqF8e5/vE2vPfthrUuC12vs3Z6TU+cNXb/ETxx/62SUifO1HMk3s6Je6vk75ETZ01IlsW8YWCA\nn7RmFos8+TogIarrom5KVAzjPlcn79wJT90nPhI9ovDZz8LPW8/yFdeKsX5w0PZSPOMqUDxl+3a+\n9wZ5a62vl3RlipFFWbe8Z+n08tZkfi6hn+5cMUssoDhkLQqNjXYh5pT7jGIzHbrFXbfHuv7jfzX4\n6+POFPHVr5JSSPvTrhCDcZ9Vhf3bxwdxvhzdtqjllTkLWn+XlBJ2qGoGfH0eXLcS3reKnU8EocVZ\nHASIcx7u9GmYun07ByOZHgGrP+K6numJU5SsnjgJgcNso8MJB8RV1oqaMpYnzitJePygWHXAdMlk\nPTTbxLzGZrPunfs+AIYJ4sb1xO0ppLMjdYJPr41nLQYhWaa/34DbF3BscwA2lPL0reUirOY1YXqP\ntwb40Y9ECOY/n2zjld+4Qn/O7+HasjJUDKa+d4hr7k5VNAHwa+SWm89pSPzpe+L8TpdDLadUY8ui\nRVxWJBLk7XDKyWnK/jJTKf34abjqLKztofgW4W33SBLIop6fLVGF3k4J7ppL7NI18N7VfPXyfC6Y\nE4SPLGf9rS7gUTsMEvxo6lQAcsMywbI0oDZvCNUwGNU0ymoyCw6qlREbsGuGQbnPx5D5PnPmGwSn\nivnKiCk89RR8/sQJEYo85AqdKRRtJUMaiPPQp6opnji9QNSJa1m5kovnBrnt5U741R7IVzM8cYok\nIbk8YAcPImooWmMvoDFjaqpl3K0o7B0dZU4oxIKcHEJVrg+9M8ijXy0i2iPGX7BEZfLtLUg1EVjW\nz7r/25cZFpWtntnSfntcuj1xboVYQcxlU4IiD2pcT9ycYRpHRx3mOlcbpIsNoCrGmbOvb4YLeuxn\nds/NOo4nzm7vkOaMU0tuPAkB3X6n1wNxYUUhZoYfJk1AFFQUAbIsI4Vfo2r1qJ3b40sDgelKfLZV\n4ylzTQua3ih5ypgwZACxAQ+czEkZa1XlrnHhyokD0a7W3PdCf789z1khi1aOEoi5xwqn9EpSir5Q\nXeN60u4AwTQQVzLR/B5X99k1wex2yzXw5mn4TU+pTWySJj7XM3slKSNc3C2KJBHTnX6bUuwhcGG/\nqHnmkhurqijyeGxPnDuc8gNlZfSuWYMsiSLjHjOE0FqTbWOLOy/L/P9Y2rPluD185vlhM6TXHS1k\n1aOzxCvLTL+9Fa5rgcs7mPzLI7bxY/J5meN+5tKkDYZje/Y44bgLhlLaveYiUfOwyAzBHi+c0pL3\nlpZyZPlypgaDIpxSlpnjAnFBWXZy4l4nnNItrwdlztkTBzBvGB7bLEJrXUW1YyZg8kjXv3RRAAAg\nAElEQVSSqPloijU3ptdhzXO1u2UgiOm6aLs/b+XKV4+CmSNt5/dZob+rsqyfgNfyxJn3OhOPZ8+X\nzNYG53TUP7i4vwNZtiNKcLf92564fyyxCx4mEuR7PNx+6hTbR0a4Na3yY2Scjjs8NsZjf5bgzlWQ\nlOHTJ+FqJy75z39OPb6xEb7Z0MNAzRB3TxPU0necOsX3pogEELsQsnm/Mp+PrkQigzBFMwzQJLp/\nXwHb8oW17qrU5OeUYxEW7pW7d7NtyRLbepxeR8q6fzp5RjaxJvN0TxyImPxK85ndC4Il6WF3lrjr\nQVkg45U/pIZQ9vfD+vVwySVw5hxALAhwGLPCWYviYkbucyxQ/lyRFO+RJPIqXHXROpUUsKo/VyFy\n6gDiCof+aaLjLQJKZyYZjjhtl24PqNqyhYdra1lTUGCzTAoQ52qjkFAQ5HE8cVZolVeSUjxxE2qT\n+CSJmKaR1DQ8hsg1lydEiZosctK+PFAMpK3FPD8tiPcdAvTpcXGv/a1RvAQBA8kfx5cAfwK84Thg\n1pZr80NnKfypBrcvVwKONsFwD4RNp0tBQsYfg4AMR/+SQ2BYts/p3+Xju3equHv3mUfhE7dHCPxq\nEtKpAKDi8Rmo53WRGy0gFAF9WGXZughP1PVAo5mnkpvE881DfLS2kPveNQE0mY5dMkd2q/S3Qthc\nsovDCZYaJeSMQtKn4h/WyfFDzqx+CMUgYvbD6k78I5AwVPiYGKwTg0EiwxD2GuQNAf4oRMwxdCLA\n724uIK/VA6gwAn27JfKQAKEw5GMCkikDMAiBfp38QfD1alRUjjLQ7XiqPJOHCPbryJLKrIkJWknz\nZheMkdtnoI8lMPwShX0GhaYB3NOtMmX1IJ2nRHjgZ3/ST9HtZh91yIDwFBd4Y8Tb4+T3GoSVGCWW\nWtMpMXgmgtqZgxjpBsFkDK0tQdyjUd5tEI/EKTW9J3J7kljA+Q5LukEtGUKUB4CTW6FChjJzjFA5\ninE2TKhPpdwE2MUxnXLz+XtHx5hRmUeMGNMKIrRhKl8PlzB2wkM54l5Lv3gW/6JhogtF7mKBWonR\nZhDziv3lnYA/gi8UIRFxLcJT+/CeDVDeCd68JAFFobwTfG2q/R4VXZA0dNSWGDGvhrdLpTw0CqQB\nudIhaE1S2A8+l7HAm58kOhq13w8gz6MRlaJUylH09OuUxKFyUDCU2+KKnGiJUdyuo7bECQ447caV\nJ/HvDxIfkampH6V1YRd0CpxYPghFcZ1o2LlXbqdGhemZnhSQ0OQ4EzslNEOHoQSTvD4qBnRuuKuX\n3/8R1Au7qBzSiQ8aVAxBsQcCKkSboxS36yg9cSrOMRikNGkwFFWZGpUZndUNO8zQvmcKQDefMaTi\n65CJygIcBnqSVLZDMCD+ekNCyaxsh0GEocAoShD1GUzsgKgOFCeobIfyUQMlkqCwXcMoihNvjxM9\nJe4zLRSl0lI7T0tUnIH2lqjJBWxQI8WpbAdIwuwuk81TyJQKHaPDIKSo+PqT+AIKBZpOZZej8wGU\nRHSqBsAoiqHoOjlnNKrSbDXRk+J5vL0JqtqgXDWI+qIUjxrop2JUpdn+vLkJqtuhKmpQ1Q3h3CTR\nodSxVNVmEFI09IIYxWd1qkx93ZufJDoQpepjh+F7c2DIB8vaoA3q/UE+X7yAS80K7F+eWMZ324TR\nqjCsUzUGIV+SiW2Q69OwbCtaNE7tmEJzXPRXpU8n6EtQdXmzSD32BYma6tDc6hG2k+t+VJZMHGWs\nVUcbjFHYA8kTUSI+lapBDa45hu+Zala/N054wjBtZw1qfBJH+5OUh31ECiKUn9EZiELkeKaRVI7F\nKWhROT06RJVugBLnK4ky/tjdjVISZ3q7jDcO4SGVfL9CRBHXqD4LZT6d3JhKtSvFLCSDtbRX5xpU\nu9Zk7USM6rPgkUA1IJBIUtqvUxrUU46zRMpi7fBFEpTHdaIx0MZiTDDn18KkyoROKPFI9LpsJvlB\nlQmmfpETSDIhBgUBlYkx0EkiyaNMMO+dq6vohoFf15jUA0PVfUBmm00YTRI5FqHqjMGguXtkcMxu\nm9eTc4N6//1ivJkCyatWOTk9r23QuVQXVMgvKmu5YK1YRM47L3su0Nvy/4+ciESYsWMHmxYtYkog\nwHl79nAmHsdIy7f7+JEj3NfZmfG79PBW+MhySLiU8Ht2Y9y0BIBlyzBr0TgS+OxJYle3oq9bxy3H\nj7NzZIS7Jk3i3QcOMDUQ4OTKlQypKgWbNvHtyZP5xunTaOvWpViLxjSNnE+0wgOTnQvfdBLjnmn2\n5oNtHdy4/yjdy85j0oatLPGHOTQ4xpZ5dbzS1c+PT57hyZlzKZM8GAkDPaGzt2+EH55s4fbKGuYF\nQxiagaEaoIGhGva2oRk0j0a5v62Ta4qKqfWHMTSDnf3DbB4Y4v3FJZRIHv6jrZOZ3gBrc/PFuZoB\nOrSegR3bRSFtKS+BNOxFxkCW4LJLAQwiSY0t/cPITQWgW6qw+DtxAtRMgO2DwnUkm6SQi8M5GLoI\neTR0w3RbwfCQQUeHOFfya0gySKbnVAI8XgOtIEGOLOMxZIa6Rf6KJEF+qcaQqlEkexjok8BwJizn\nr3i2QL6GpoI6pojrygZa0AV0DAhKIldBMwyimmCRjEVF6K0E4NXxyWK/npDse3g9oGqizRTzRwtr\njxfKoEvi/d2zmFW+3AAMCXxe5z1UzWVokkH2CJY+Q5XsUEzjdaZrAwj4HcNVXNfRNNFmhnZu07w/\nCPGocy+Pz0BVhJVSWJhBkWVimg6quDZeA0kSVst4TDLrpkEwIHKyLJJGX9gg6BFhal4zxEkGUWZC\nlfCoCppHw/CIt3TXQLYWaNu6PebBsHC2bGQUTM7ePpLIU/AY5Cgyo5pOvkdhZAS0hNOLUq4q2BWB\nXMnD0EDatcMq4YCELEsoSER1jbCi0J9UKfZ6GExoqK7QSQoSoMow6nFyZ3JUKnI99CWTyBEPkYh5\nj5BGfg4MdbvmtJIEVX4fEiL3z4OwFhsSVPl8KRbn9kQcLSpjjIj7h4IQCEC/FUUX0JhYJthMLTa5\nkBneCqJ9CzwegrJMx6BGYjjTCCQHNfwFIgzKOi9PEd9cgWmhtkiffMM+ElHz+WQDShKU+7x0JZOU\neb3IQGcyyQS/D8Uc263xODow0e8XocCaRm9Ug36XMU1GhNxmkXKfl4As0xJz9hd6PeQpCi2xOFKP\n3xk7gBzW0HPGD9Mp93npSiSZFPAT0XV6Eg4aCMsKYwkdv88Ku4SwIjOm6YQVmVKXAXBE0+g129wv\nS4RlhWFNQzcNWEFFZkjVKPN66VWT6IbjoYzouv0NTAkEGNJUBlUV/RxVpFxFEfMBBtqY4hBfeHQx\nNgEUnck1EhISSCIypNvsp+5kknKvFwPBQpijKIxqGpMDfmQkTsdi6MAEv5+z8TghWSYgywyqKhPN\nYyzpH9UZ7DHv6dPxFKio3WY7yQaF1ZrjZXQ/KxAMGmiFojD1qCYYfA3DiT4xzNvkyDKjuk6N349h\nphWkm4KnBYQJa0zT6EwmKVAUir1eVMOgLR63y99MCQRojsWo8vnoTiTIURQGNY1qny/FuwrQbBo2\nJ/r99Kmq7dWZ4PPhl2VOxmJiztSw3SdlXi+5HoWT0RiSBJP8fk6bY9cvS8R1g3Kf6AMZCMqi7YOK\nIAiJmYPAK4v1KmFuW+cCFHk99LcpYs42pXSCTlzW8EsyfWqSSYEAMnAyKt4hz6OIXEpNRJf4ZYkh\nVSMgS1T7/bTG48QNgxlBhznUEtUwOBOPIQHVfj8+SSaqa5yNJ5gaDJDUDVrjcQKyjF+WKPOK/j8e\njeKRJPI9Cn1J55uUcbIRchUlxVtm9Y91TL5HtI9fkjNYly0xsiwXllc8pCj4JIleVaXI46FfVe31\nz5Ia8/0Be5+lV+iu3wBKvB6EWmQwommoBshdfvSkM3ZkGbzVMSYFApyJx+w+DcqyCKMHVh5fCePg\ntf8VnrgUkVL+2PImMOHb8t8gljfk52fP8nBPJqWuJeN54nihIhXAATxRBTeJEL59+zJPSRwR1qhB\nVeVX7e3UygGinQkmtMJMzaB/tJ+hvjjv3A1hTz8f7YATz55EihpoEQ09ojM0oHL3SzoB9uBHJ4CG\n/zcamx7tQI8Iz0qNAU96YZd/O/fJgD9CRIFT4cNUeQy+pEN/YQvRoAfJJyH5JDBUVkeAkmEGQwkk\nj4SkSByKR9BlWJifi+SRQAE9qSMZoHkklFwFSZGIemU6AhCr8eILhziSC948hSsnFSJ5JIY0lU+f\nOM4HlFpe2S6gjz6vD6OxACPiwTAk3nsdlJRBayLOfz6vYjROsrAYhgmXVk+W+OHd8OG9ezEkUfMS\n4I9za2hPxLmopAhkMy9VhnvugZ/9XBKT8EWd6NURjHunYX2hk1eOceqz+/lIeSnTg0G+ta4cLSZy\ntt73ySEem3uYul8sYm+vR5wj6xh+HaKOUmys6uXjPxnmRLvK+qtETZ9grs7YH1xsLcCDtTO5srSE\nhv4Brjp0kMPLlnDxwgBt7eY7/nY7D18wnfvbO3lm5VwsiFhTaXCmVTzvNR8y+LefylRUmADNq/GT\nox1EJY2vmWQih5ct47KmJjqeKyDxnTlkFQN+9NAIX7lajMkPfnWUh+82vXvXtXDDnVH2jIyw7weV\n8PiErJcI1I6yelqAV54W0/jvfwsf/jB8/chpvnd1YYoV+1xk7UUJNv7VVKhqh+AXe0GCT1ZW8FhP\nD3U5OVxbVsanjh3DDU9zFYV3Fxfz0K898HNRMPlD74U/P6ZjmADpC5tP8bOFU/nkkSOsyMvjSydO\nMDccZsfICEFZonf1eUzdto2uZJJSr5ceVy7jpYWFvDgwwPtLS3ikp4ecmxczetj0ErnX6TsPkaMo\nKKdyGZo8CA9NhFOiTaumaEx+eB+bly7m39va+Ozx4zw7v5avfD/O0Z+IkEvFZ1D09FbGJJW4rrOt\nbiEXV4ZErp8l/7qT2y8oJk9RmB0K8WBXF4/Pm0dPIkFPMsmnDx7kyI0zYZ+ZG5aFtbzmu0c584VZ\nXNjYyPQnZ3LvN813uaKV2z4v8+O1ZlHkkjg8spXo2hUEFIVPHDlCUJb5dzMeunvV0hSgMG3bNk7t\n88KnhSFrSo3OpRfI/PrXYr/3Y6dI3DOVF/r7uda0/F9dUsRfekX+0bSAn1/OnMl5RUVcfu9Znrsx\nddzJisGch5vIr9Ko8fv5szlvf6aqnAKPh++bYaqrzPC5W7QaHvhQFaNjBtx5GFb3saFuLtc2NvLs\n/NlU+HxcsHs3w2uWk2sCwCs2bWJAVRlZs4wcj4f7Ozq4YddJuPI850HW9MC3DgLwnuJinnSFwr+8\nsJbzCgvtZwD42fTJfGHCBNatX0/F1xfQusnxvE7+j32cLnNyxdLlpQVzuLapCX3dSh7r7eXagwft\nfdeUFvFoTw/lXi+LcnN5vr+fGyrKuK+zk4+Vl3L/HOfb/1NXF9eZdRTfWVTI4pwcHuvt5XQsRpHH\nw20TJ/LFEyd4Yt4sbjx8mGFN4+LCfAo8Hh7t6WFaIMDJWAyjfiW/bm/n88eP43Hl7tWGQhzKEjoO\n8LnqCp7t60MHmhu98BkxPnBj19pB9H35dljdI93d/J9Dh3hoznT+z+HDPD53JhcXFvLH7m4Ox+N8\nt6WF4TXLyPV4eMfGjQxrGoeXLWDdzp28p7iQ5Xl5fLelhZ7Vy1NyHv91Uz9fXFskNkqigm3xq6JE\nBvMH+f6TQ3ytuZl1+fmsPxGFD6y0z/3i7QlevKyRu6dN4562NmrNsgffP+OEW6uGwTWlxTza08OR\n5QsZUVU+2dgo8oJdYtSL6z7a3c2HDx3im5NruGvyZKKaxrqNG+1pxahfyeqGBl5eOIevHDnCdeXl\n/PDMGSJrV9h18Sy5aMMGdKB15RJuP3WK35nx5LuXzGdxbi7nNTSkhFkC/G7WVD5eWcl5DQ2EZJmu\nVctYs2kTeYrClECAfWNjPDRnOjcfO4ZqGBxZvozp27czIxRkejDIE+a3OyckwhdPxmIowKLcHHaZ\nYSTfmjyBu+6Q4U8TxU1njvDMlgQv9fczLRjkm6dPc3LFEoq8Xs4zv5t3FuVzTWkpm4aGOB2LsTY/\nn2+3tLA2P48NixZxy65d7BkdxahfkTHe+pNJ1mzeTK6iMLRmJZIksXloiI/s3cvY2mWEFIUbjx5l\n18gIy3NzuWeWWLNXNjRQ4/dxS3U1t7tCgyw2XYAvVFfwr22Om2507TLO37hR3EvTuKGilMd7e1me\nm8uLA+N/1+myIBykL5lkWV4eFxYU8PkTJ7hjYhU/OHOGWcFACgN509L5XLBrF3mKgl+W6UkmqfR5\nieo6g6pKUJaImkDsh1Mn0pdMEtE0/trXR0s8TuV9U+h4sMK+3pwFGt7f7GHfsmV8ec8eOx9waW6Y\nnUvMb/V17JT/K0BcOkBz3tcY95i35c3Lur17ubGqiurDh/9mhkor/O/1ABxk1rACsy9fKs/43b+t\ngLGjEVp2xlmTTJJPggKSFJAknyQFG2MUXA9Nke28MAgSMeS8k/wgAHpukjNVZ9BzZebHQS+Oo8gg\nFXoI1nhQQgpySOalZw0e1n3EkImjiL+Gwr0/lbniKgU5IPPV06f4cWsrloY5LxziwNgY/zq9Bs0w\nuPXkSY4vr2V6KERvIpFC3PLo3AnMKXXo3WebBYuT65xitMf6+rh/fzdrZxUzySxy3tys8ZeWAa6e\nU0BdYSHP/PIvjKxbxw8WicliMBLhtR0w8UwZG6wLrRiA/hAcyQNgQ1mE/4+98w6v4yrz/2dmble1\numRbstx7ryFFaQQSSCAhGxIglBDCUpe+tN0FAiRsCCFAYMmywNLrktBCixy5xCW25e7YjpvcZauX\n2+f3x8yZOXPu3CvJMftjE97n8SPfmTPnnDlzylu/790vi3FyYIAtj1cBlstcbPYgQ7ZbYP9xeGSl\nyV5FEf6e2AmeTvdhzm/0XN83BI6z6dQ0LBuER13tXWVVkvM1kGwIkI4GiN4wzJFfWIf8f91fTbai\nlCc7Jce/e3dacWIfng9xAy2YxXz9KfTKMoikGA4GSKc0+nsBQ4eoO38GYxAoCZBI6sSjkIppnBs0\ncBzSyrNoUZ10TCMVAeKWAHJYcs38+U9Nbr1Fc2WHyUMUhQ2Pu3ZQ1ykJBDjacgZ2lcBfai0LVSTj\ncSX90cNP8+FbXgpA73lJq1uWIqBpHEskvDFxEtU3Zgh94hCTNs90rglAys8+nPYV4BrfeIZjP6ny\nCiUSOQIcwJVnPQqxqK7Tl8n4Agk4sQQz3IOutdV0BLhQLEvM9uYJ6boVT4Ybv6RhKWsEcxPWdY/2\nVcQgiC28qMQkB9f22tNwzVkmxmLsHTrFleXlvOHmFG95+3lI6nzwQXg84AWdCGgata/o4tk/x2Bv\nKYvffZ7TIY2uhBWnufvptVDeAqclbfPEYU9MnBiN6lCInnTacnW++bgrxClkGCbFc9y8aGVV0v7W\nHeLsYemgqh92yoEVhyPH7lYqMa+GpkGjG+tx+KDG2mgWYS8OTrfuyRYEOe5iWOS0Ason5YK6LH1F\nHKMhQ18m44nHS2azvjEoZc0pPrHhJB/dfwTTtooHpbEXzL0ccyLqceaGpkFJGn15F9lNNvN/tZvr\nq2zXLrD3QMAX2ERc04FZt/c4QlzR5V0UTUr4eTe572bHemkCaEii/nQaAziTSjHZtuyIdwoq60SM\n+ccbGzkcj9vMngWXfi6Vos4WxoVGH+DP3d3cbCP+yetOIPSVBgLO+bhpyRLu3LuXX57LBQTJmCbD\n2awFaDN5wGuBE1SecuOiyAU2MTSN4kCAexoauM+OFw9I61eUAW+KARETJ/iF+gnS/O4MwwlpbTUM\nO+O0uKSEj1zVyPWvPWYJH+OSvOKOFH/utgBmEtlsDrBJVNfpz2Sc76TbfUoUYP6El40AFFEFM0Ga\n/b4t5eXcWFnpW86yhGUdYBNBKsR+Ujos5LAKDXf+mLhpfUys+dSXss6FoK5zNplkZWmp86yhaY6g\nqilrUQe44xhGwiDTHYQ7jxDQphLWdYYzGVJbt6KvcIWxcYEAewYHSVdVOXGFYq8ZCdgE3PU8IxZz\n+iKeE983aMcijjUmrl4Cs8Mer0xLC+PWrgUsK6ADmjUG2jE4SFM4TF867cQ7ivFX+1Ni368JhThl\nW+Ti0t4pA+kENAuoacfgoDMnilb1giTE7S07zyKf2FcV9CYfvSCEOC9Zi0K4ZP2dLh619fZSbBh8\n6CLUlS+HmaD+dJqSQMCxxCWzWbT+DPGDcQ61DfG6jji1xKnW41SbSarNBJGeDFuuDZMuD3M5IXoI\nMlwFR87F6CVETzJA70d28kjLNF7ZsRczrPGlKc28++BBlpUUsWnJQs4mk3xh/XrmFQXYOZhgoHqQ\nzzY3My0WwzRNvvnVFHuwmd3ypJOw8Y8b4cY3WJedRW8Ce0voThTBvCEODg/TaG9CYnn+2ANF5x8T\nV6YcGH7AJsJ835tOO2O7bWCArlSKimDQ2Tz3HzRxtsXxw1bwsy3EvW31Me5+2Uyrfgn+dvwt5zm4\nP4qZ1jlyBE51ZeF4FP59BpyJwB3HCL7BH1XTVpJaVJvIQSMsrreQzQTTPu29pzizPcLwwRjZjAay\nAHfXIRcx7L83wqZK6hYMc2pCPzWhag7F41TUZzl7zB6vzgg0uhyaYHhcYBMFnTJqMQCmaVpQyz7C\nTiaj8cAD0oUpg3QkEh4QmaCmWfGIOvCeg9Y/QfuL4Z6lABzYEbBcOTXo7ZI2q7IUAc3gH6qr+Y8S\nRYgrSsMPN/DtlbN5x6Eh6qXYAQew5ncuUxudNkS636B00QAVdx+n44iO+ZSUA27SoCePmEMLXROS\nhnX4DijMuyBHiJs86Lg3njnjvk9xdcY5VOVkrWKdDGWzVK9f7zBSYU1zNKsAtYqwUloKZ1DITspb\nEwyyF8vVcEqDBvdbUKyVM2cStPskvmpA09DHpeHLFjhGQ2Ul3UM6GbsPAU2D1xyHr06zHlh+HkJW\nsP5QJkMWLzMjBFRecg6m98N+bxwKwDWvTnO23E0xUFYtMZh/rmVT0F1Hxvi4R9gNahqH43GaIxFa\nFy7MYYAMTYNoFqM+TuZUBLIau7e7ZaLTrbVQUIiz73XV9Ft5y6T198p7hnhS1zmRSHjmwbdOn+Zf\nmpo8fSkxDFKmiRY0KS6G/ow7RqJdR5hWgE3AZa6d3n1iD/yoESoTcJkrqKgMlh8YgCNsaBoNV/XD\nF9u5onMCZ689NiJ4QMJmyuU+CRqwUQ17MxknT+lI6JSlgYADTBK1hZ2grjuohyGJGRfti+uChGAl\nA8IUGYYHbMP25gass2E4m6VK0yBkWutUmZv6OK/Q7gdsIkhNoyDGRRbiUjYzrSLslZdqBErTpPsC\nViz7dknZ1DBMVA877xPRdXjbIet7V8eprJ2H0W3Nra5Uii+fOMHn7Jh2gCvLy3n8/HmPIsDQXIAs\nPxJl5fjxgGItAxf6vtQwWFXm7+Gga5oD0iV/L5kxnxyNWoA8NjlorjYJoWcgk3GEiKw9jqIPA5kM\nA5kMVdK+GNA0ByRFwyv4GLYiJPOeA95rwEcPHyaKd243RyLsHBxk2J77VcGgw7eIeX1bTY3jPq1S\n1DBYXlLC62tdRbsACxLthGxBXD1NxDt6xsT+e3NVFe9WrHSCRD2ZQsAmI5ChafTZuTLBBZ1R6xoX\nDGJguZEftL9RMpsl5jMeQU3jJ52dnE4mmWsHrB+cchoiU13+onHI6b/clgp6k49eEOiU+S1x+cv8\nnS6M+jOZ522FAwpqx/Ye6eXKh9bS8cUOrv+XQb7yLvhT1RqerF/Hvrv2ceJHncRIc5BiHp9Syn2L\nankDy7mOy9n2gZWsfvMcPsUcvsx0fveSKn41sYJWathmVnBcK+VkeZZUyBKGhH+12DjEZiN8nn/W\n2elYC9vPDLNHQlosetdh5/9r1rj9D2matRs9NA3euYQT758Jb1/CvjMJR3gT7UxWfMrVwwNcSHBB\nQmBTgU0MLFfRpGnSvHIlkyIRdg96EdcOPifV3zDsaPsBOGNt1PGUCbtcLV/DqkHKp7gAD5u2Zi2k\nyB3llhD3pen0rvU/2LxCXNxanJ/cbQWp6SaTrhxAxz4ATZNsSYoFDx4hXKwIs7cdg9dLlVUn4YZT\nJCcN8KGJE3n/hAkYQOV4aeM7G4Y9JfBfk+C39fQNWfcEY9Q3lHUtaMGsHd9lW9li+TdQOXn0e64o\n493jx+doyoW27n0TFFfIqQOEiu0cZj1XOdazPsUSZ2ialVxZtcRddxpK0yR1SxBqGO9+zxMn7PG2\nIeWDkSyTHt3D9Me2M/9zHcSDGWKvO44esMe2KmHBLisUDgOTXOFXwzqY+9NpDxrcW+rq6L30Ugyb\nsSCShYm5Zo2iahf6XcQL+B20Yu5HbEumoJk2upmIk26Y5WU4xy9IwDSLMRLuhSWBgKf+Hju2AdyD\nUrhfCepMpTxlLm1psRLvXn/Kci+921rvfpY48W7JbNaSRD6124Ku10x4+Sn46dNw/w4+/tVhZ68Z\nzGTYHfaiHO79vStQj2t2UxGI8mAx702R3LyNoi/hZh80x6oEkQo7wfQoLHF31tVaAqygyztZsMx0\nrB1+yJiC+i+9lM80NzNk5wOU25DHt8KH6XEYcPu3eDJbkrYY+ltOeA746ZdcArjafz/mTbQfz2b5\nzunTsLiHuW/uIlKazbGYqfSRQ4ecOnMscbYQB64lRwg4+YQ4HUsI6U6nnbajuu6UV/sj9hWPZUdp\nS5D8pNx+MpulO51209fMyEV8yBHiFEucXLc61ioDKiw8AU1D0zQPvxDSNMJ1EljQRil/2uRBZ5yK\nhRCnYaHKVltxbbqmMS4QYLv9LiJ+7lOTJnGjbbWULXEjMbjivjyW+ZAXPWkmfEi2SMrfUaypn8ye\n7VhcwUqQPUNCbpRJtcTJqK6CKqX1Y+C13IjzvkjX81q7PtbYSEzX0RcuzBH6ovVeb3EAACAASURB\nVLpOv41G+YPZs7l63DhP+x+YOJE/LliQdyw2LlnCu6WzTxWkL8QS99KKipw5r5ZJ++zLfiTG89sz\nZrBv+XJ+OGuWpYyULHH5hLhiwyDd0uLEq4HFz+bbe8R3cQT7oAm3W7xMePog3HTSdxxGK8S94Cxx\nnrH4uyXuolP/KCfWSCSsSGU9MHsPzNkNM/bDuo51pBJZXt8E8cvjHJlv0HZVitLpEdZEhzGvXMY7\n3pPl0c32Ml11BMrjsNXaHNevh/6yNNjWsrJJSY73p5yEofrBYo+5W8TeCLcG8XY9g1kLxSJgOtbA\nZ9brLiLi1H6KL+tB6M337oVUCoJB+yD+XR08Pt594eeK2fiFGi5/eNjTnjpFfS1xCrMj509znjNN\nqm24c5FwtCoYdMpkAeI6nafdQHZqElYSTEF23pI923UYttqsHJ+hemKWuplJup+1GMdHHtY9uacA\nDj9SD18/5rlmmj6WOICrOqma1c65bIKaBZXop1xLXDybpa45y3VfOMNv3lNHNq2x8jVDbHhbrvYN\nrINrXlERQZsRqpKFuPtnenKxfO2pOD3fOUoqbB383X3u+OmxDO8aP96yxIGVjHUUdOslMapD3oMn\nIAlxH2ls5EvHJWZYh+r5cU6st8ZvwwZoboZ+xRJnELUEGSk5NQA3niRqW8XSpkmDa3TjxAmvgDlt\nWYpUJIOBxXwMZjKUzEmz/AeHuP7cJD5UtdXKm6OAg8ydC1sCkpuPfagfVdwpy23IbXH4ATB1IGdu\nFNekXWuSrYGF3LkvlBJhXUdgfz69aBHbbM216NH0y+I89RXpvW90McoF7HaJYXhc69578CAzbIWJ\n7E4pMxdnUymX2RaWoqAJH3rW08+QrvP9M2d4oKODf5BcnyO67lpR6uLwlW3WpHZ8LhMEIk3OWKzr\n64OSPibOHE/HvtyjeMrVg8jOcSPtvaLe6OQ4QyqI17R+59vlE+LikiXujtpa+j6e4R8nbbe8Da46\nS1SfR8QW4lRmVmZgigMBymzwC1VYl90py4PBHMAq1eqVj6FW6xMw+n6MlHpNw4UVV+9FdN1hngFP\nHky1L/2ZjLVGbcALcPOIqRaosCT4FBsGPem04zrnzDWf5wT5CcIx5RvIT8rgCpeUlVm5CgXN6INf\ne3P+Bcr9hTg/9zk595voP+BJMSDGV6WQrhOqTzK43xZeZG+HyYNEdCvtSZGu50C7Z+25JEPr77fj\nAIP2HiX31fD5virpynvK7yFTTNd5ZPp0x5oyUl1+lriQpnli/HOEFeW34FOyeC2iH2ts5HPHjnkU\nKYamOfujhqskH7j8ch445j2XRdsldqqLsI+gJ84Y2WvBr8+jJVWIC2maryXOrw3Rt0J500SZlOTG\nK+i6ceP4gxIfF7bdWgOaxoxYjBmxGJ85epSedDrHmi7m0NpFi7h02zanz0KRJvYMv7kW0jRHoPaE\nItx5FG4+TqIoAxoYWq5S7rOSlbkQvTAtcbYGqFCZv9OFUX86/bzyxMWPxjn5nyfh7Uf5/uvg+6+H\nV/8PpAPwi5thyeYllB9byPsegilfnsqfZ5SxvbOWYSMGmqWN3yQlpmZmn4fR3bwZTh12t+GKppTF\nWNpkHix2/dAPFbH666Xw8/EMnbIOhkzWhEeb4ZWXwmtXwrpKxw1vp+SaxNw+oqWmkxwzlYJvbbRc\n0PSMBt+blPPufb+u4TNzJ8J/N5G2u5AxTXiqCt69CO6bSX9OsI/LGAhy8qfJbjeZLKUniznTneXA\nfpOOd57iwL0T6TxrkrYDbjklbRS1CTBMAjLK27kww5kMa//gHpLTViUoCRhMne0uoD/9JveY69sX\nhee8B9z58yBi7cPFWcsVEOuQNCcOwvi4dTDjWuLi2SwlhkHTNQN8cP1x+O4mXvHvnc5OpSY4Tpim\nw1AamkbdNMlydc7rP390c4TP3VHGt7dZG/ovjrlWkGAsy5enTXP6IfoqKLQsF6FC100WLrT+L+eW\nctwp7f7Ko6UBlQuEtWq1I3R5EAnLrPiUUsOApiEaP3YEfdKglYuqaYimSISTySRp02S8pCc4ccKb\nNmvm4owTOxKxXQCjuk7JrGFuvytjCfGRLJFJ3nQRixZ5fuZ1pyyRrA6OgDE9V8t/srifGinmRzDb\n+bbksK576hYHtJjtk5cnWfyuc5YW8w1HrPg9m4SLT5Fh5Byqx23rej5L3Nlk0mMB2tjW5tu/kKZx\n2k6YKKtcSm3BxUPKCSvySMn3P/bDXrjhJIacx+w1Hcya4312tEJcyZRc5MbAnH5n7cjWVJVh8jKf\nGizvhpeegYAVfxSxXQDV/FzqjlBsGOwbGuK+Y8c890IKg6SSKryNxDIesRdQWGHgZfKzignXUZUx\nLMSkFrLEib9C4abWI1sgSwIBuqWcW5p0P6RpHF25khsqrPg/MT9VAQ1yLXGaz3d9Yv58FhcXe8ox\nR1EMAYF6byoNv5g4Qeoe7GeJ+9rJk44QIvMLIU0jUOuDLDpxCGrjzl4eE5Y4iYQ+RKzx8SELBEP0\nUwhxsnvniEKc/Vf+XqpAs3/5claWlnJFeXlBy608DqpnBljjIltX8vWtdcECPtrY6PAdpmm6a1fX\n+XRzM7+aOzdvEmwNb7iKrtwT7xuwFZ/DW7d65ra836vKhQsV4paXlnKvJJQEbcFHHWtT3R/x/0by\nu8hl4rZgKNdbo6SJAm9CeEHiHIsZBgeWL3csu6ogK9aZEOIKeQGEdd05I9R1Q3HGeQnRf7nE2+XD\nvQC94Cxx8ihc4Hz7OxWgscrCmaEMXX/sovuP3XT/qZt0b5px14wjsTLGJ17ey1EjgnkiZiViLEkT\nmRgh1ZcEE976rgx7H7EQvrY+mIEvbKdzeZqd26RpO7PfcjkLZiGlc/gwFEsQ3xXNaUi7klF6fxGp\nbC881gAPT2NbVgNq2PPdNO1r4JmDGvzQju84H4bPzeLc1YdhKuzdKW11U+1ErJMHLJdC4B+fOMnb\nLy3nwJMx5xqlKYKz+0ltsA7l5KAO327micuGWfhmOHVUh8/OtuIDdpXxy8/28/7vesewVLHE7dkU\ngB9OZvd1YXiTJUA+8Y4GOlpLOBAw+U4GTLOMwWcq+dSxFHt+fJTPHDsKpyTXFTuBbrA65YKUnQvR\nl8mw7gm3vQ1zDrNYDzJ/Lvza7wM3DbqWl00VcJd7S1YAjmvIcOrKFuZt3syxeNzREmfBExN3zkYn\nHMpmqahKE5sUpyvtaomFBg3cuA95E62a7gMEUpyCAXtObC/n3GuXwE0n+PZLTwOTAAgUudahLKDH\nsh4Gvei6cxjnwwwfct1fZ83SEPyRHKAelIQQoe0X92O6Tskc1+Vw1y7o6YE+IcQFs1Add9yuAGpu\nPk/Pyzros997SiTCsXjcEuIaNMtlz9Q4cwaelYxGk6dn+aUtuCwtKWEom6XWZsLl/pbOGiYuvdei\nRbBv+XJmbtrkjIlI0iofRMLlUbjyFBsGA9NytRCByjRvq7dcawR8c86BJlFY1xG9CUhCsHCnDOoa\nW2/ZBbfkPisOWtPHvSWjlDE0zaMI6ctkXCGC/EyWzKDJwntA9wKy+JEcYyWoYnwGPrif8eEwc7uq\n+V3vOWiIMyc22VNuVizGb86fz7sHi3Eq8xHigvP7HQY0nyVOfTc/AU88W8idEiyhZqONjifHzvgJ\nBTKpV0c6wkXNkQLCYT4hLqhpOfWX2/D1fpRjiUunc4S4Ukn5IJNsSQnruidxsiaVD+o6jZGIM2Z+\nQpwDkKB8A/mXHEeZQ01DUDfsAewJNXpdcJ2YOJ/vpdb5pwUL6M9kPEJcPgrpOkZtMvfGbR2gue3O\niMVywEMypmlZLe0yn508mWtsN7+wZLmTgWxGEuJUIB3xnEzT8rg8qqTZz+qa5hmjkLRmZKC2fAJR\ny7hxHBgedr69HCcWtA0UN1VV8Q0JpdEjxGmax5osv4+Y+6K+YsOgC3d+/WLOHJojEe7Yu9ejpPAb\np7FQkWHwcSluVlhrn48lbklJSU6ZQR9Xb78e+yl9hOtjTNeZGos5sYuqpVmQsAhHdZ1un/uiHV9L\nnEIXOq7wArXEXWiZFzO19/fzml27RiwX1Lw+7n6U6k5x+nun2XXzLtbXr+fEV04QnRJlzs/ncMnp\nS5j9w9n0vracI49Pw3zjSvjYfPiHVfBbC7Enns3CU9V8+xH38M/GDfjiDFZvTZNMWBN+0iQIV6Qh\naLJgodv+QLc7rSsaU068DEBmbykPvLwWHprucSHLDgS4806TL/yLF0SBoQA7f2Vx6s/KQtyUAWtR\nTpYAPWw4871/keLcbjhF+FN7mfgqb+zLRz+b4fHOc7T+PGwJcDZt/kURKlK0zPA++yzc/5oK+HEj\n339zLW1t8L3vQUertaGZaQ3T1IAWAPZtDrJ1g11/h3QY2UJcoNrrTnmsI8uB7fa4B7KwrIuhbJZV\n83y2qMkDcKsE3bjLGxfnAG0AFfW2fznWhu4cULb/uq5p9KbTdKZSTI/FHPCL2lDIyWkFcKkUVC60\n3rIlbsrKOJRIrkHXn4L/WU/pPUfdaxkNfjkBvjzduRQqtfqn233SlNiuopU9lC3wgrcsXer+P53P\nEqfrng06ahgEmwTD1MLevbBnj1uP1jQEhjUeQnhXt/fJ0SjHEgnSpkk0pBEYl7bHEmyQLgCap7h9\nEod3zAackIW4qrleBu7qq/HEauiSlls+YN9UV+dc689YOa7wEeKmTXI9I4K6Tq+t7cxHYWn8ApI2\nXTwjP6ke7GIlyV6MggRjI1vi1BhUJ85H07gyzz4nr0dVYCsu8F6Ah4ESlJYO+fSEQWiwLHILFQvK\nfZO9Qp1KgtkYNyWXSQ7NGnD6XVCI87HmCApKjPJIQpwc0+jnijdajf5IpeZceikg7QE+ZfK5TAYV\nZnvossuY5BNrKEidTwnTdIS2IsUSp85LObasxDDotpEGwSvEifEX80rMDVmAzGuJk/4v1+fkXZML\nrjrvuRQe750zqvXBz5oqaF5xMZeUlblCnPLuakycoe4RLztl7dNY45O6/HJeUlaWY4l7ybZtbOhz\nrYhFuu7sK/OLix3LiGyJ82Nw/Sw4HnfKC2SoZbdYj0VbujZUwBIn/5LfvUICMJGtrfKcmCrF1mt4\nLXFyO6qyo8gwQAJJurm6mkUlJY4lzoMSy8jrcbQU0i0AKdVjTu6b/D7q9Xc0NNC2cGFOmQHb1Vve\n1f36rAr8ILmj2/cyynX1e4n1F1MEXZlkS1xBd9ACfR2JXnBCnKa56DzPQ7h90dHvu7qcfEGFKJ82\nIZvM0vnLTnbeuJMNTRvo/HknVTdVsfLQShb+ZSETPzCR4gXFaLr1UX74+SL4lWQujhvwwEzWrbOZ\nrR815jZytIhvf81ddsuWubdWLffpVGWCwXAKylMW0ppNp/a45vVgQ9wSVoCdOzUO7M19v2NPFjM4\nCMefs2MBdBOa7SBsWYg7bFmk9q+T3PhWnSMVTrPkMyep+P0GjIi9pJ8r5jtPDrH7aa/QmBzUncT1\nguTN+stfhnTS/f3gg/CDH/i8u0QnnrQ1VpvHuRenDPCdmTMxKlLour2AekL85jHp/Rf0QFGGvnSa\nBVODuXFiV5+Feb3u751lSGcHMvBmeY0L11tkCxJgaRmFJe6Z/n5mFxUR1jQH3awyGHSS5AK8rKKC\nHbb0JFA7oxLDn4yl4PM7LSTBe56DDz4LAZOpb+2EB9sJLpT6u9cFb4nVuyASWUB75SkCIj3BK08S\nrkxTsdAr2K2SUlfJIxPQNIeJDUoHu/hNfdyyuAGnTnlzGhoTLYFKtsSJ/UzQ3KIidg8OOgiPoWp3\nfOQxnzE19/AWiHiy0Dnrln5qmy1Gr/mSYaa7sq3TflSyLAJ8oqnJgZ0WrpE1oRAUp4lO8FqCypvc\n/gU1jT4bmc/Mo1kzNM3jTikOx5eUlbF/+XLPYakKE47rZQGEMjk2TkXJlbX44rupwlM+SxzkF+L+\nudHaz37Z2ZnDpHzeNlkHNY0uieFeUFzMFpEnCHIsQSo57pQlEKpyx1yb20sgkh0xJk59N5XpKGSJ\nU3dNeRwqFORWv3bzkR+TJ5OoR1bk5CsjSLbEye5xUcMoyGj53RFrYCR3Stn6W2IYJCS3MQEhD+74\niFkl1mmVzxjmxMT5COBBXWeFBEXv0CtPOXvQOz6UJqDoLlW31kLulILEFy9kiQvrOmfnnmXKjfY+\nvOocvH+/M7iG5lraCoGI/GbePMfdTQOWlZQwq6iIzBVXuMAmmr87pUeI8xFSL1TfryFZQKW+y5a4\nowl3byy0BsS731FTw42Vlb59Em09s2QJV0ool6oQJ+8bqrKjSDpjZBIxcWofL5YtRFiR1S/sh07p\nZ4lbXlrqsdQWtMT5jLNYp6olDtxvJxLCi1ZyhDjh+lvInVIrjI6q9l9Q10teMuIzzrOjLvl/haSx\nkIfu75a4wjSSBlkG3JB93Ad2DnDg3Qd4evzTHH/4OFU3V7HqxCrmPTaPujfWEawM5tR19Cj8/hH/\nAOH774eOY7gQyMEsXObmknvix64AtnKlu0Blq4hD44ddEJMWJR9dKAM3nqDmv7ejv/Fo7rMvP+X8\nt3trMW1t2BYuqJ+ahrAVEEyzJMQdiXH4MHR12FroSAZm9pO0D+xIaZam610h4uCvS3l2c65H8+bN\n3t/yIn3iCe+93/wG5BDFxgef5fOP9TL1H3/sXDu5IQY7y2BLhVtweZflFx/UqHFTlvCjb0n9sbW1\nfZkM1eEgLJOsiboJ156BicNWqgWA/iA790igMdKQj6u0FqChaRTputed0r7+p+5ubqysdKDa06ZJ\nTIkjCGqas0mXSe4MYG22v+/qsmI+7t8Jr+1w9oOaUAgW9TDzG/uhOddaVFxvMc8aFmNujh/iuh8c\n4Q1fOwfv3Y+uaUy4to+aRhvNtDrJHXe4z8uWLV2zLEkCnU11RRomg1GTAFYDsG6dW0+gLuH0Qxy4\nGt69bH5REWeTSYZsq06k2gtKYA1KmqZ6gztqLKAAVYiT+1tcbPLpJzt5w89O8Mb/Opuj/NLIdRPz\n0/o32LEHs1Z5tfpljV4hrlcIcbm9Bty4IVG3IbU5LRbzHPKq1t+Pgbunvp45sZhzb25xMWZLi68l\nzonF0jTWPfUUYI03WEL17+fN86zH0VriPm4Lcd89cyaHSdllI+2FNI1uSWER0DQWl+SmKRjJnTKq\n6zT+81HQTYIhk8Bbj1hxOna7MpMzFkuciImD3HH3c6cU9NqaGicFhx/Knkzq1ZEYlP12js1CMXF+\nlrhhG6Sn0Pur5CdEC4TNEd0pJWGoWCkjI3gKhl+sz7RpYra0MF5CwlPRKb9vJxX3W5NBzbLoX6VA\n2dM8CD95mns3neYDn0rlMs7KX3kMq31ijOQyKhPtiYnTdVKayXP/tA1+tRY+u8sCD1LaA3KATWS6\nwT4nALItLc5YyOvewH8+yN/R7/1SF8gsqpa4kPTNIVcBXojjEuusIRy2MB782pP+qt9PdqeU2xHf\nRnanpL09Z26rMXEXm2RQH5VGssSlLr+cO2trfcsM2kAtsoJQjJMsBJb4WM8cUCX799LSUsyWFofH\nLFL2djHnikawxAlSFX5yab80BqOlF4QQ55diQOPvlrjvnz7NfFUiyEMjCXGCkU5ms5gZk3OPnaP9\nqnZ2vGwHgcoAizctZtHqRdS/qZ5AiSsInE+l6FPcOb75TTCFK+OcXvjuJufeb39v8ocfSYfEwh54\n9Qn8aNUqdyEs87PEyULcnUdhxXmoSjD7hgH4z2fgfQcYDKeI3HbcypclaFwS3vGcBZoCkNF46CH3\nduMc631CmgYThiykR4DTUR57TGp/fg8ETUysjTSk69Rd5wJk7PxBOYmh3CWofjKxwM+cgcOHvfcy\nGRzrV1VTmsyK88xYlaRyzrBlMQTO7gnDV6Y6z+hXnoW6hHXIAV1l7rsf2CP1Z9V5XlVVxW3V1dZm\n9MYjFuBHIMsV955mRqNufQAJsnr7LgkoQrIKVVS7QlxE153vZtpxDqLVGbGYk0ssYZqU2GARcpJQ\nVYiTtfBP9ljj+ypbSytI5BqrjYTgFadQqaTB+qa6ZlmVskD1rCTNL+8Hw5r3RSVw3xPdfPxLcSZ/\ncx8yf12jbLolklbfwArCB+ugGMpmCda4zLrsAhm0AQZ0WwBcv2hRzkEXtuNmRH2RGh8hriFOUNec\n2BpZiEuZpsdyGNJ1zJBJ1cJhSmK581HDjWtykOmk+2J+CkbzmtskIW5BD0XjXIYiqGkjulOqjK7q\najKSJW7tokV8aOJEp9yC4mLWL17MSRuOXlBA88bEgZcxEs+LvlQEArysstLD5I3WEqeil/pRUNc5\nL+2VY2WgRH8juk7wsi74zib+Y30voUW9lsVWfDtN4ytTp/q24RcTJ5jRoDa2mDi5HuHu5cSG5XkH\n9Y1HGgGVQZOFMJX5ExRW3CkXFReTvuIKT/8KtSVThWKJU90qBcluiSWKEJfFK3SBO68cd0qpLlFG\ntCVczPMJcZBHIBqXIlyb9ORsdN5VMLQKYwtWLNIZZS1BrhD3P3Pm5JRxvo8GlKVzPrBf7N1aFWlp\nBBqLO6XsWi1I3RNG3a5UT0TXc2LZCyk+Hps7l19K46W6PfoJO/I3CijzfmIk4rgGq+Ad8t98FjEH\nnfKvLcT53MunUBBrMyC50aplBjOZnHEWv0qkPclvn85ncRNrcUo0ytGVK53rMelMlZ+XySPEKffk\nVkSpW6qrucTPcl6AXhBCnEz55tyL0RL3uWPH2Dnon4RZJVXLoFIimyWYhEt/liJ6d5Sjnz9K/d31\nrDy8kuZ/aybaHOWhjg4e6ujwPHfHnj2Mk7hU04Tvf18qcFuHlZDZFpiyaY2ffkGKBVl1zhKGKrwu\nWnowy+LF7u+Z08lBFGTCsOuDXpyG+3bCz57mVQ+fJdBouVf2pdOEoxo81A63HeO62xNEH95ulV/s\nwtL+8Y9utU22EBfWdUuLOMGNKfrqV6X2l3Q7zL1hMwxFi/sh6gO+IVmHhBAntEliSsvIg37UPDft\npBhoallO9Rx7zEwNDtgSh25SdM8RwEX+S9bl5vZiaj80xPnlnDm8tcGGo548CI+tJfz7dXzhnUW8\nd8IEi9mVcort2iPl3ZIscZU2ErtA7hIHdAY3GBysDVHAYyezWYoNg0EbVRGsjVxs0jmWOGnxqxp1\ngVBVEwzCNWccVyJB9Uusb6hhbbZC8P700aOADb+uaUQqMtxyV4roeO98fF1tLS+RNl+PEKdpLCop\nwWxpIahZcRFWrqQWwLJMC4rUW/WKjTlgj8Xy0lJut61qcsydoWnEqn2AGMYPY+AeiGKMYnY8ogeI\nxRZmBNy0IGFl0DRXGBRuXfLoCtedK2xt/9VXasx/+BCVH30OPr8jJyZKuFPmo3c2NDiWA9USJ97Z\nGS8ft76XlJVZeeKk8qWBALWKBcHPEieUPrqmcdWVVwJ4tPzg9UpQD+Z8wqkn5sa3hPUdeiTQl+cj\nxPVnMjBxmIqmtIPSJ6+Jm+3UCCrD4pdUWkZaFS5MhVIMgNfVzwCuq6hgpq2g8SsvSGXORnKnnGvH\nxDlxRz5CqJ875XbbHVkADxUEArFJfP/vzJzpxIMKd0o1PmacwsDLibFVS5xI5iz3X8xKv1Q0qjul\njKiqvrso+8lJkxy34Hvq3bwkQ3bs8VgsceCP+CfKCMFAzBFPTFyedd++dCkzolFmSbG4mqZx3+TJ\nrBojU+u4RGtjcKeUhbgLZBY13HG/tbo6ByJeVXzIY35jVRXXVLieMqrbo2+sp0+7YI3bpsWL2Sa5\nYqttqjFx6joTe8jfgiXOLw2ESqo7pelzL6LrTkoTcU22WAZ85gJ49/hGKWZWXfN+/ZO/eabAvBL9\neVtDA+tkxnYU9IIQ4uSx8cZZvAglN4kODvskfc1DYtNI+2ihMsMZzn3lJD94HczekGHWD2exZMMS\nam+vRQ+5U+h9zz3HB557zvNsbzrtLIL2/n627824qIVFaTfA+uoz+NKqLnQDuMLrDlm7ME44DO8e\nP563NzRgGJqVXFemWX0eNChBiWzWYSKz2AutLAVvP8Twh/YQm2Qz6AtyYeUBJslCHHisePLrBxb3\n8PC0aQAOE5UwMrDMm7MEsJIKhyxmvKMDurrcw0Sw6DIARr5+CQtWWNeZuNJHOLv0HEUTrf4HNI3z\nqZSFMKmSPd45TJQBiYC1UQY0yypmNLnt7NnjlpctcdU1pnickOYCCggGQsyimGEQtK1FiWyWEhst\nzhHiNMkSpzCU8iaqMguCga8JhaA07QTSAzCnl/rpdkwc1mar4T1ghIAjkjznBKVLgg5YjK8M4iAz\n5kPZLLFaH+sZOIlwNam80MYLxtHQXKARTdOIVfsoBRqGPQKQA93t404phGY1v86e5ZZ52zRNh/EU\nTKs8LwSa3y3V1ZgtLVQFg2grz1P8yrMQ9ebPEe6UsQLulNdUVHgsjTLYiLjmjJePJU6Q81yedspt\nqHeZxH4hf92wUo8s+KmWuHxCgJ/bDniFHTFHCgXKQ/5TTdQUklyQRf4ioURS+6lq8P36KYP05LXE\nKX2R15+hafzrpEnsXb581KkD5D4VItGu0NKHfL6/2jfxDr88d84S4qR7owEfGBcIOOuvQrF0F+cR\n4jwxcUrcnK8lzn7OD9hEdaf0Yx7V+J4VpaV8pDE3zvxnnZ3M2bw5pw51zY3GIiPGRyjX/GLj8rmr\n1oVC7FuxgrqwNy3MRxobnT405HHjzOmH9N395oCfO6X8/hdmh/NaxIoDAeqV/ua4UxYY0zFZ4shd\nx+OCQcrtvVreLwrl/1Pb93OnvFgi3Zhi4uy/o4lXTZomJxIJx31bvifXK8bEL+WDul+oe7z6DmIP\n9/tG4QLzSi5d2IRSmF4QQpxMmpYLBAAvTkvcWDRKYqL2ZTL86+HDLNi8mWw6y4lvnGDjlI0MtfXx\nqc9r3Hd/gG3xbfnrAf7Y5cZOiYnd1tPDoi1beOsPXc4+uKgXRFLhK3xAa9l5jgAAIABJREFUVRoH\noS5uLbhXnEIz3PdZ8VZLwLp/yhS+Pn269b1lt8uaOMzr9aBBgbXgnh0e9jBP8kJr6+11D595fWDk\njuGkuZI7JXjy0DlUlqR0etypW1ighrPZHGQwABb1EJLyde3d62r8BcMtu1Iay71olwDNszNksJ47\nv3kzk1b65OO5+bgHaTBpml5wFmzglqvO5jz6rRkzmGAfsiH7wArrOkazqyzYv9dfiKupdg+PsK47\nB1rKjuvys8QJd8pByZ1SPA+ui5+fJU7d8IU7pdjcw+88BHcdgtuPwad385oayzKh223reDfHhGnl\nyUrk0VyDF9xEtcTJ/x/OZimpTyNi4mSKNbjCpHgPAUQi2kwq7RfV+Ahx4/2FuKifJc4WmlUwENly\nJcqrVjHwHoRgfY+EVL/KJJ9JpTAprGKTNcaqpUGuz88S57Q7AqNSGgg4mv+PTJwI4OwXGm4sj5hv\nDsJmgYM5n7DmBzpx9pJL+PbMmc51YeXyQwIdDclCrrAoioS6sjul/A4exYem+fZTCCZjcaeUx8hv\n/PMxymrJkUZgjx0T52eJUxEWBal58grtG+AC4chMs2hPKDXCmobZ0uKMixrTIruRqu6UckxcPnfK\nTzY18ecFCzxlCgEqqHne8pGIx8yHvJfPEudHoozq5q7GxKl0atWqHCu5H8kIjKPph+ymL7vJym8y\nFiF1JFKVIOr+prYwGmCTQooo+T3l75zL+7o98bXy+7j45HOnvGjAJnkscX5CnEglUGi83jV+PHfV\n1RHUNM6n03xp6lQ6bNdH4eYvj5EYE/nsyicw59urxhoTJ+iJ+fPzvseF0AtCiPNY4uQbmn+ZFxON\nlhEQU7kvneaPXV1E/zLIMwueofMnncz79TwqfjyNkxNCJJIj66ke6OjgyLDrngZwhb1RtD/lHm6x\nZZLlrDqRa0mzLVYmwORBXve90yy6tZ9bv3aW+dd6BRQNYEUX8x88DG86DPfvgIDpxsTZNL+4mPaB\nAQ/zpx4szr1ohsAMr4BWVJ2mwrYqOeVm5SZP5dJzZHWvdkckOmaFV4gzxqWgcYioIsQ5ljgfIe66\nV+W60E2ZkyFjmpxPpSg2DCYvjxMuk8rN6YX5vblCz/IuD3rnFa8fcmDOZXpLfT2TbQtJ2Ba2wppG\nQLLEHT6gIYwbsjtlXQ1Om7I7ZcIWHMQXiOo6IU0jmc1aljg7Jk58Ix1r3K+vqHA2UcH8emCwVSFO\ndqcEK/br9cfgbYe4tDnKtbYri4bFOBmSYAkWwxTWNB49dYqX79zpu2HLKFTFhuEJbJetcsOZDKV1\nPi6QRWmiJV7Nu0jSLQtxpumd1yU1/u6UAc3VDMuWOJG+QR4rkXYg34Gguh3Kb6/m1YroOvuGhhwk\nNg+TbPfjqR5/K7cgjxCnCI6q4CGTnyWuEIMmLCn3TZkCuGvOD9FNMNZvqK1lu42kpGpp5fHL5zIq\n+l8dCjlAGEtLSniH7bYsDv6R0ChVEqV1XDehN+7bZ1niUFwlR2G9FmX8LHGq8Kz2NF8iYkH5tNv5\n6nmncOnOc1/0XWbU8rlTiv58eepUgrruOz9l2rdihdWW6KO0nlVLnCA1RlZ2pyxS9qusdF91pxTr\ndFwwyNV2TjRRtkpy1VdJjWeUyW/k1TFqikQ4unJl3hxZfqRrGvc2Nxe0xPn1tWoUIA6/nTePx+fN\nY9MoXM1kwdPPTVbzKXsx3AbV2DR1nBvCYZZKgdSjEeIKWuLsv9oIdcn9UC1w+Z5S88ldbBptTNya\nhQv5vO0GXEgh8b6JE/nPmTOdvSpqGEyIRDh7ySV8zLZA+63twdG4U+bZq8YSE9ccifAW25PmEjs0\nQlaYXaj1F16AQpymWZvsSL70LxYqhLYl6Gg8zgE7OVnP/kHe8q4h3vEITL5vMgueXEDJkhL+82GD\n7htX0H/bcsaNaylY37NDQzRv3Mjq7m4vhHdGI7PNRckqW9HvffD1R53/GiGTLf9a7/gwA8y5JMm1\nnz9L03X9OTF84nuHLu+CNx4FO05Lff/xoRAnEwkPw6KWkQ/k8GKvYNkwK+UsGueQmt3nuEI6dM1Z\nsjZoB7iMfDybhXEpuMI1U1XechY0iDW7gtND67p45+7nYHcpCdtQduSIW33T3DSGBPmvGSYNkywQ\nlR2Dg7z8qqsoKtZIfGIXjB+yXEM/sQc0H01/OAv37yT66lO8+4EB/uHTijAtkRg3jyWuJItRYbkB\nplMax4/DT8+c5cQZ99vX1kjjIGkOE4olLsed0jDI4H4j3S772/nzMTQLtUtFAYPcDbtGdqfEG9is\nutoMZDJO4lZB5YEAIV3nmf5+T6JemWTr1sRIxGG6ZHdKQ9NImCbjGjKImDh3kOIeYRUsBudcKuVo\n67csWcKC4uKRhTjhTmn/LARsErSF5gz+TJYJXF9RwWvsOCpQYuJMs6B1zMPY+ByIH5gwIeeabEVx\nGA6f76wyN7rP/wsJcerzgmlOZLO0tLRwYPlyJtqKC3EvoOvMt3O4FbLE5YNI9xOcLi8r81i8ClG+\n1AziKfV9nZi4UVji/Popx8QJhkbNp1ZIR6oyNx+cONETW+L3DurvfLFUC2wobkdosct9d+ZMvmHn\nyshxfbb/vrqqyomJEzSamDgNcrwBAlL/9i9fTrNiNZIZRNGesFabtvu23FfVEieTeMdqn/hUtT11\nH7x/8mTeY6832eXTbz9rjETGZIkD+HhTk2Np9IuJ86PR1H19ZSVlgQDLRhEfJ1tM/RQ5cmv5XOgu\nhFS3xvE+1sXlkhBXYuRvVbXE+Y1RIWATmUYU4qR8a4LGms9xrDTamDgZ3XmkfRFy025Uh0LO2pTr\nDeo6n2tuduLMoYA7Zb62lJg4X3dKu+1rxo1z+K6SQIAfzp7tKVcoXm4kysU3/z9O8jjK/3+xWuIK\nZYkXtGDzZgbjGV7/Y+j51V4O3hngizdkSF9jIfwdPQr//vEQZDXMzjDvfje0teWv75itgd85OGgF\n2AvaVwKDdn6OmgQlzUmQwrZKLull/APPUbanijnXDbF4nhWArWMtpJhhcDyRIIul2VBJA/qlGJeb\nKiv52vTpTJASr5UFAmTxj51oCoc5mkh4mK/Yon4GJSCWaasSrsAo6ohmrZxpv7cDxpsGYX4PWQzP\nIRjSLCsMAB9+lssWBygzApx8zWnODkPJ5AQiUmv3hgC7WyfC0SL+UpekY5PXElfdmGHGa3rZ8z3L\ngjT+VV3omrUB7R4c5L0TJnAqmYSl3fB9F/0TvHnVHGoepOpDR7hm2jTuPZqL3ihIuCKFdd0CGdF1\n9EwGvSFOpss6tA4dgl+X9mCmrA1Si2SoLnEPJfEsWBaDgKSd9gCbSLFYqnAj+h/R9RzmfpqP241w\np6xR0OTk50T9IpZUVgSVBQK+c0YmmeGqDAb5lu0qJ5BJ5ecq632Ohrq4c1CJ2ssCAYazWQbt+AQB\nOT8sravSKkWI00yoTmBIh7s4QESOPtWdcjCT8Y31EzS3uJifSehpqpJsdpGbMqQQ6IXI+ZfBFUYe\nmDqVLx4/7nlGtqLIGme1PnVb97XE+b6RXV75LSyenXY/p0pAC34Hraqllfs2kiUOvO5No3WBG4nU\nVsU88AMtUUFn/PpZJO0XYlxUga+gEKeU/Xfb6jkaEk/mGxMVPVG0dWddHWeSSaffnjqlcZYVHVBY\n6SnuqO6UaxQmeJo0ZwQFfOaicOXyUcHkWOJkEmMhkDH9zvh8jO+Hpbi4cVJMaD5m/ULcDcXeWihf\nnEx/LYW7Ju0d8vuNFBN3we0p9SwtLSV5+eWeMvLeWEiIUxWtvu6U9l9VeFTHU55Box3roM98vZhU\n7GOJqw+FmKWkkMlICsLRfKNCAH1qLPJHm5p876tzPV+et6Cm8f4JEwq6vwt+KaAVNiw9HyHuBWeJ\ny+dO+WKloKbxHydPsq2/P2+ZCdszPHo3zNoLtM7g6TsjZCTx/qc/hWzWHcw1a1ajgFD60rlUivNb\nYvDdJniyGta6sO/Gkh6ihnf6/WruXGJXdHP1x88zeYULUy42FOFaN5DJ+C5WDa95fEo06smvA7lQ\n6eBqWgRUs3z4lCweQKu0hNJANMuKm+K5ljiAdxyEl51CW9wNn94NOjmWOMedEiCW4bJ39XDde/uI\nBK0yZVMkaPZ9pXDUYozjp0O8613gAI3G0pSNM7nhoz1c/rFO3vjBONPec8rRPA5mMuxZty6vAJ9v\n04nYVprNBeaKnLhUMIa6ppGqd6Xx556D+Hnp+5SnnNgR8YxgghI28ILQKue4U0pJs0Fh0vEeiuJO\n+9KlHl/3K8vLndxGwnWnSHoun5ZWHr07a2sL5teC/Ju9Ib2vGJXKKtD0Vm/B2njOe2qaRlUwyOlk\n0ttP6f+RsPKdTQ10rxVLjFOJYRDPZn2BTbKKRa0QyW8f0XXeWFfn+S2T3G/ZlW3UMXEKI1PoMJdb\nHo07pao9TZmmoyCSY3nAn9nOscRJ/x+VECcJ934ujn400nGvvpMAePDEBfm0oQowIWXuaJrGPQ0N\nbFmyxDeWJR+NRQDIQae0/+YT4nbL+TnUdu2/+cYzaCuM5Hf5UGMjj6rZ7m2S16TsMnipmoOtwLPy\nOInUO1nTpDIY5E9SrIwKbCKTLECaLS2+Z6EaY+dHchL2fIzgWC1x4DLofjFx/9s0ojulzx6xa9ky\nVvjkZxyJVIsY5FpC5W9VEshvQ1HdKQtZ4jTyn2Hgb7mPSWvaLybOz1J/MUnsjfLaO7BiBb+dN88L\nMiPxUIXSfwgqlLpGngN+5fKNdTLrb4vTNI0vTp3q6wkkSM3Ll4/8zpbR0gvSEuc3XC9aS5ym8fb9\n+7mxspLH5s3z3Msmsxz51BE+9Q14+D3Qdjn8bryBfsxbh985uWYNnmTHJxK5IBptP4hx/pPN/h1b\ncT6H2WsIhdg6MEBlMMiV0sEY1HUSmYyjOQxomocJF6TbAowgv0VVpggFIDHWPjEGkZhJxbd28PHT\ni3iqvoOJkyLupiLXX5yBjzzrOaRVLZIDbGKTCTx+/ryz0Gua06CbkM3t9+OPSz/qrBxg1UUB2q7d\nTRtwbdk4x/UgabebT6ucT4gL67qzYUV1nfU++XlEX2V3yqxpQr3rCnroEMSLZSEuSbFhCdPCKqW6\nU8pCXEkgQL8NZlIiuXJBriVOZpTF2McMw2MBfnNdnfNNA5pGTNfzW+Ly/P+fJk7ks1IuAL+jIp82\nTQaVEG0VB3RCZRkSElBpuC7pa3GsDgbZMTjo+V6/mTfPsTrXBIPMvamfXY/ZjMerTjhtifbEdys2\nDBKKEBfSrBQDGXIFAPBn0OVSQ5dd5rlXCLnwLfX13FBZSUM4zI/P5oLnOM9IB2Mhd0q1t6qQr5Yv\n9B5gMc2Pz53LyWQStm/PuadSQUvcKNIN+IHfXKglTvNZI+BCrY8UH6UqffzcO4sMg8UlJZxU9vt8\nLp4wRiFO/W0/q/ZNw+q7uO+b9ykPcyVQA0WeOPl+UyTCWxsauHv//pz6dOlvnVTHWEhmB8UelbXf\nQ4aYb1ZceGUSzGylIgRoPvOqUP9kd8p8IGh+eeJGoiJlz/7/SeLb3lhZSXM0yj8fOjRiTNycoiKa\no1E2FlBm+pHOyJarD0+cyLyiIv5hzx4nHtaPhJAhzmNfS5z4NgrfkyPEyf83TU+ISr4vlC+etNA6\nHwv5zcsiHw+hLHjO7pHoVVVVec9hzz5WwHqt3knkEeIE+Z3Z35050+N27ff95Lf5W7bEfQDrO1RI\n1z4KHAD2AS+9GI3ks8T9Dewh/98p5KPxABjcM8jWlVvp2NLD3Y9C2xWAZkFsq9rQTc+oE6yFTZtg\nY58F6HF4eNh1WUzq1r+OKGs+W40fGaVpkivO5WiqJ0UiXFVeTmcq5ZsXpyIYpCudZjCT8T20Nbwg\nC4WEOD8rldBMipqnRCL826RJBKtT3PamDJEpQ0R03QPlXYhkplgIVbIQ94euLv7U3e0s9NKIDuNH\nkRaiPk5ZIODRpJq4GrlkNsuqK67Ie4D7oTmCpf0TG9ZwNstCH22kjAIn4P670mlocPt96BAMd7kM\nQrAi7WHAQ5JQIyDQhYUsahiUBwL0pNNOTBy4jIvqLicrAmSGWk4wLzbIadEo1aEQ1cGgBz1Onkl+\nB7wgFdVOpXwbscxAi+euKC8nW7fCU66oIeWJ/RNUrkCSg8VszrXjsmbEYlTdfcL6Bk2DTmyprmk5\nMUWOECe1K2IQC7lTqiT3T41BzrEEKd+sQbGOFyI5JkLUIr7XytJSj7IHnr8lLm2azCwq4qpx40aM\n5YELi4nzc2H0uFOO0g1NJWd8fN5XRacU5IdcJ6i0AECFeqUQmzMWl6wcodz+q+5l4vriyy7jzCWX\n+LpQ+zF/V5aXs9BeN0HNsk6Otn+y5cMv1cZoyLNHZfLr3x+aOpV5RUVca8fVyiTGQk0mLX/L0cx9\nWYjLx6heiCVOtf6PZh1dTPLEONt/q4JBJ8XCWMGPRkualmuJU6k4EHBipQu5U4o+nrHdlwsBm+h4\nv19BIU7tM/jGxAXz8AgXi8S68UusLo9hsxSXORqFyb9OmsSOZct8712wJW4EAUvclXnSW6qreUNd\nnfPd0lLcqx/9rQpxE4FrgaPStdnAbfbflwGPXOw+aJo7ib0aiIvZyt8+iQ3dcc+Srp/8z5Nsu3wb\nn7pygJaP9NF9ohTunwE/nUDfUMYLrZ6A0ydzp9/+/bBy61bimQw9gmH+bT28+hK47nK4cwWZuFVT\nJGpiVNmugpEMS+89DpFsjhAn4qVS2axn03KEuECArlSqoDulrFH0m1hlPtplAWsrkMZE2/82aRK3\n1tRgYC2yuJ1fzkFEG2FTyUpof6o7E8DWAQv5UggHJYbhn7NNpbo49aGQ5xAWwfEBTXMQH/O6U+bJ\nLxTRdYex2OqTKBSkuBDNsp412gx56UQ375nqTpksdbX2Tkyc3XbCjkESwrWhaZQZBr3pNHE72Te4\nYy332ND8LXGAxxInjon9K1ZQZBhsXbrUE3SezxKnfl0195VKBd0plUNxfnExmTqvwF42Pu3MET8l\nRr4jf1o0yuqi0/D9jfDtzVDpuuU6QpxdR5FhkDBNz+EZ1DQ3/12eNlQay9H+fBkBNcWAmLfXV1Tk\nzOGLEROXj/y00IXQKVVN+6LiYqqDQd+YOIFeCzhrKm8/Ct7NZfjEdx2rJa60gEUlB4b7IlniVBJP\nqgycrDWvCYV83ZH8GHTZ8ibQW0etuBB/NS3HCjZaUt0pvzVjBt/0cd8M6To7li3jO7Nm5fZDs9IZ\nFEIvDWkaO5cuLShkBu16ID+jeqEQ/GZLS0F3wb8m1Ul7u2YrssSae2t9vYMCC+77XRR0ylHWI8qo\nQrgfnfJB+HXaE2eipnF9ZaWDmKt+80JrM19v/9rulIL85p1o83PNzTRHo2OyxBUiNSZOpXyeG/nc\nKQWJ2Fs/nlVQwkeIk3//rQpxDwIfVq7dBPwISAFHgIPA8ufbkN/7a7y4LXFicYih0bCSdj9717Mc\nf/A4i9Ys4jevBPaUwj8tgifq4etT+eo7ytCl6eUk5vbQavbvt2oeymYt69fWcnhgBgwpG1Mgy2+f\nSlP+82eY+qOdvLp1P6tebgl9frEzAZuhlO/kWOIk5t7vnQX5HXKOJc5HiPNzpxS/s1jWqajhgpWM\npDHP4j0E8wl9spWERiVB9zU+SdDrhnOFOGxLHNams2nNmryB5YVi4rrTaaqCQRaNIiZgUUkJP7bB\nLqLjXUHt0CGId0vzoNwV8IRFQFhMhTvlhHCY79pAIAFdJ2YYnE+nc1y65G8a0DSPy5pfvIl6Hax5\nlA8CXR4xdf6ERxDibq+t5ZWVlTnXZQZaPBfSNNBWe8pdNSvqa4nL59oiyGEGNPKeymL8hAAdV4S4\nVDbrcV2R6fnqv/KtkkL1jgsEuLXazd0HuZYmGdXUr62xWuLUHUWN5fHrbz5L3NYlS/juzJn8uw2P\nDbB16VJura7OGxMnrjdGIh6Xp7GSn2Ca1xIn/V/dn8T+5ifYqjVdrJi4HEuB/ay614rvtn3dOsCf\nUfWLidPwutCp7pSFSJ6Hs4qKeJ8PqupIJPpZZhjUhEK8pb6eu/OkT3i+JCz1o6ERLXHPox//2zFx\nahy8rEB9dMYM7pXW5IVYGvORLCwWItFWIUucIIGm/I3p0508gU499l8da24KxNwxv4lPTNxIZ87F\nIj83XgfMRVLUwPMHfJLfxc8IoCvtChrJEqe6lkNuX0cSBBN/g0LcTcBxYIdyvcG+Lug4MP75NuZ9\nf1O6buYp88Kn4UwG2svo+kUN9AQp78iyddVWsvEsizctpmiWjSb3X82eGKytv4vSvdHd/KUwIEpn\nD1nId9hIiUkLjn0gnYFH3Y1RpsA9h1m2SCOupQlNHubTcyc6/sjqQhKBwUnFpVNswOMCAboLWOJg\nZOuYExOnWHAM3Jw/fjElGTs311gscXJdhSxjcrySmnibO48QGJfyXmsaoj4czhXiNG9MXD53LnG1\nNhTiq9OmOdcjuk63nWNurGRUpQiErY2quxt6D7va0DfMcL2phTArEEzj2SwG1hjfKYFjlAcCnJP6\n4uevrrpTykv8x7Nn8xf70PPTcvkx+1DYnVL+3n6Hz0caG3lciTsFJSbOvhbUNIxm6Vs3DXLnzAqu\nsV1t/PqX70AdDQqcGKe5RUWEdZ0h6VAJXYg75ahKWZTPGlAoviKg6/zUVhAYyuEqj4da81hj4uT3\nuBBAkXwxcYtKSqgLh6n3AVbKi06pzJGxkirkChJ5D8dqiRNU7QOV/tcCNlHzeoon1b4byl+/Ne63\nbjRNcxWbYxXipD6FdZ0Hp04d1XMyibc7vHIlf7jISX815T1HInnE1HEXdDGTYf9v0QRViGNk9M0c\nBNMLaNcP2MSPwprl9TOSEnjwssv4gi1wNkkpa+T25L/5qNDazDdP/NBrR6rrQshPuFGRXC+WJU6M\nd1DTWOWTqiLf1xhJALu1pobX19Z65ow6rskR3Cl7JKXzWOn52Lv/BNT5XP84VtybHO9WqP++8+JN\nb3oTkyZNAqC8vJyFCxc6vtVCsyN+Dwystp9qQdMgs22b1eilK+3rq7E81/yffyH+fuKpNPzbNZwH\nppZvZWpmMw2fv5WGdzTw1FNPWcPSGYat4wDreTE++x/cD//4LLS02EKcdb+4eQFDXQbp05DNPgWn\nYgxkMvzsP9Zb6QNogWAW3vxtgmdj1L18Pl0zz7Op7SiDO3aQWbUKQ9M4vmkTnD5N7Y03Ws0KTVBL\nCwFNY2DLFg51dMDEiQDcc+YMZ5NJooaBCZzetIntvb1Mf+lLPe8PFrOa3LLF+iEgZEX9CxdaQlx7\nO71lZdDcDMDAM89AKkWF7Rve88wz0N8PtmXoxIYNTNmwgaWXXUZE19nU1gaHDhEUh7hUv/rb0DRo\nb6fj1Cl2CoFJKd+5aRN0d1MyeTJceg5t+q8xnyuCm6YTbUoQnPk7+p4uc77PZdHt7FjbRdPKlU59\nnUVFaE1NGJpGets29NmzXQHHbi+4aJGVf23rVmrPn6e2pYW5RUXO/fA111iQ0+3trI7HfedXRNet\n+9J8o72dZCBAeeNSzh0IAas5tTGJ2AJSPWtYvTpKS0sLBtCxcSNVXV0MzJpFIpulf8sWVvf2etoL\n7NsHM2daAkp7O+fs76VrmtOfwLRpRHXd+Z2154v4fZVd375161hdXe2p/8SJEzB+vDP+qzs7aREu\nSvZ46AKO237fsHBtam/nTHEx2ALbSOuxf8sWjpSXw8SJznzYkMkQed1Ubo5n+cn636Hf1sHl5f9o\nARq0t/Pc2bPO/O955hno68Owv7da/5a2NtizJ3f+tbQ46GOdpknnS15iWSHb23njli1O+f3r13Oi\np4fw4sXoPvUf37iR1SdOeL73c2fPgj0+vu/f3u7Uf+jpp1l9+HDO+GBbe9Xyan3ta9bAgQNo9vjv\nWLsWDh4kMGWKdbBI60nu/+VXXAHAznXrCJWU+H4f8b1XYwmOCdPM+z6m7a4k7zdZpT5Dqk8eL/H7\nnePHs/6pp1h99CgtLS2W4NTezuGzZwnedBMAJzZuZHVHR975NLhlC6uHh3PuG7YV+MjTT8Pp0854\nxrdupTcaJXjddTn9N03TGb9QnvYSW7bQKuUIXL16NQPpNAglUns7z3Z2wq235tQPsHPtWsrKy0d1\nfg1mMp7xEt/30LlzUFXltJfVdZg/nyWXXcbq1as5ePo02Eog9ftvamvjsCSI7lu/Ho4fd86bc9L6\nd573mY/1yy2noe3r1kFx8ZjPZ7CE/r/W+Y+w6LW3c660tPD+1N4O9vlJeztnNA1Wrcopr9v312cy\n3HD11RfUP3FNXg9A3vX+fH/3b9nCp3vdXKdmeztHz5zx3a8Muz8bk0lulviJ00eOgM1/jrZ9vagI\nQzqf8pVf29bGL3DpQt/XsMfv6aeeoioUcu6ntm5ldSrl/D7w9NNw8iQsXIip1CcYc/n7rF69msOd\nnWB7Dajr+aLNVyxlqHp/k32e6XYqkrVPPQU7dxK89NILb6+9nRmveAUAfzRN4tu2gVJes9eP+vzw\n1q3YF3zvV+7ezV3AN0XOOZ/9/3hZGdjtO+8vBL32ds7qOkjne3t7Oz09PQAckRME/y/RXOAMcNj+\nJ1wna4F/tv8JegJYQS6ZY6E5c0zTsrWZ5totSbOsrc0sa2sz125JOtfnzBlTlf/nacGSjAmmeT0n\nzF+w1rz9rv2e+5ls1uR9zzrjw4RBEyPj/v7JetM0TfMTn3DHdtrdZ8yi5T1umc/sNDf29pqveG+f\ne+36kyatrWbDunXmpKefNkvb2kzTNM3Q6tXmhPXrzWcHB83PHjli0tpqPtzRYdLa6vwzTdO8ffdu\ns2rtWvNLx475vldJW5uptbaaPalUzj1aW83atWud+j556JBzXfw7ODRk0tpqvnb3bufarI0bzco1\na8wDg4Mmra3m9du3m7S2mt87dcrz/NxNm8wd/f3mn7u6TFpbzW/p4kwjAAAgAElEQVScOOGp2+/f\nht5ek9ZW89OHD5s/On3at8yb9+41aW01v378uElrq2m0tpo8ad2rWLPGnPntPaauZ00wTX3lOed9\njw0PO3XM2bjRfLKry5ywfr1Ja6t5JpEw/2L3U/yLPvWUSWur+eeuLqeONd3dzv3X7d5tvnLHDnPF\nM8/knVen4nHzC0eP5oz7hPXrzelXD7jzQPp3/0/7nbJv27fP/NKxY+ZgOm3+6fx5k9ZW86Xt7Tnt\nrNyyxcT+zrS2mjfv3GnO27TJPBWPO2W+fvy4+codO5zfHzp40JlHgt67f7/ZMTycU/8/P/ec896v\n2bXLub53YMC5/jGpjGma5s/OnHF+X71tW94xUunKbdvMb5w4YZqmad68c6dJa6uZzGTMsrY280Q8\nbtLaaoZXrzZN0zSP27+/3NHhPC+eOSm9u0xdyaTnO1euWeP0+b6jR3PGZPy6dZ7yvzx71nzVzp3m\n1du2mX88f95TltZW81379+dceyDP+pTLiH/3HjniW2bFM884fVP3AZm29vWZtLaaPzp92jRN01lT\nD3d0mPfae4n496g9znI/npTmu0o37tjhtFnW1ubbvqinzN7L5GvzN23yXLvLXsuCDg4NmQs3b87b\nfp89vx/q6DDPJhImra3mv9j7Vr5+TN2wwfeemCf32998mT2+ZW1t5su3bze/dvx4Tl1fsMvS2mq+\nfPt23/YeUZ4zTdNZl+Lfw9J8lZ+ltdX8n7Nn876PSjF7jxIk9trvnDrlaU98qw29vaZpmuYnDx3y\n/Xa0tpon7HUj3vERe581TWsPuX337rx9l+vcb58Pbd3do34ftc7/ts+Uvwa9/dlnnT6/QtoX8/Xl\nDvu9o8qYy3TGnpMD6fRF6+eizZudfnYnkxet3nxU3Nbm2U9lOmqfoZ2JhOe64A/GQgs3b/Y9y/5a\n1Gaf3fKZKHggmR44dswZ75Vbtnju3bprl+97PmrzNn+QzgNxDl8sorXVvGffvpzrYs49ZH+z4XTa\npLXVjGcyF9xWXyplpkZ4Xqwfv36OZi7cLvGU6vM3bN9u/qqz03MvvHp1wXPPU0cBI+hYvGJGS7uw\nBLZm+99xYDGWYPc48FogZN+bBmzyr+YCSZNMmf93PAAuKp0+DTu3aNzDc7yWDt7LItafrPGUSZsm\nbJbM8686AYt63N/rLK2u7E5ZPD5FZGICx3J3KsJAJsPutZK7zfLzgIX+I+KdwIpD6kwm0XFN9ZUS\nQqAg4U6Zz0UgrOuY+EPEQn5Yb0FlPsH6JnBJWZnjf55R4gkFDWcyljul/Xus7pSvra0tWEa4DmbA\nmbsRXScyd5BfbBmEL2yn9N59znOy3/WgPWZivJ9ua8txp/QLVpbdJcYFg5xMJAq6U9aFw3xIShgr\nSAOqGv3R1qpr3JGcV1TE9FiMmGGw0nZp8HNWUONZTGDHsmXUSa4y+VIMyPTQtGlM8EkML4+M7BIn\n1yHm4Pvt2BfZ3WwseV3kRMuya0imvd0DwCL3S1eel/+qpLpTVodCTkzVaLbAkWLi/Gikg+PLkquZ\nmcdtcrSuOTkpBuzrfu6UY3X38Ys9FKRqoP2oEDolWLkqt9kWPD/yQ6e8UNc1Fer6K7blf9TulD73\nty5Zwl319TnX1e9fyOFoLN9kaJTulOK7bVuzxmq/gGuupvxfbiGo66Meb1FqJPe1QpQp0M/nS3Kv\n8q05P6r2OYcF+e1HYyV1HW1dutRJ81BeoO2LRTJokEry+fx8SeevH0Mmk+pmDrC0pISrFLfLEdeG\nX544ey/5a7vR+oUlCL7Fifm7CO6UJYEAgTw8o6BCtY+G1ytUolBc3bjnCQD01xDiVJJ7vwf4qf33\n98A7GPu5m9uAH7CJ6sv7IoqJ27AmyyfZw0z6eCeLOU6Mzm0xT5mhpGm7Utq0rAv90vPu7/VVmKaJ\nbMktaUgRrZcSUp8Nc7Y3+//YO+84Sc7yQD9V3dM9OW6Ync05a2d3pd1VQBoE1oGwDRhswD4LEYwx\nxhj7sEnGYBtzwJ0DxgbZZ7DuZDIGjImSYFcoh12N0kobpJ3NeXZ2dvJMd90fXVX9dXV1Tl/3vM/v\ntztd6auv6q3wvfUmjvYrSlxvzI2h0YzVHHMeAgtCoaSsiX4PVr/EJiphezCS6oasMww3IYLfTeVk\nzNrY1OTOsyyL72/e7CaIcAL5vcrMeDQaKzFg9ztTiQFIjil4/6JFSZmRnHX8snmFTZOIZTFveQSu\nuURDg/+gcywScRObYP9NpcSp511tozsU4uD4uBs3mAsGMHdpCiUuXuOd9y5axK2221ezvZ/B6emk\nbbwD9lGfdNztwaBbmgByG7ioLyd1K7/spp+24xJUZSldFkO/fSUUdTZiKflNcGu9GZ4Xci5psL1K\nXKar0gmirjMMPrpkCSHTjGenzHFAm4r3Lswc6qyewXSfXpxr1PBMB+1zmKrNbPBTllORS0xctjj3\nYnMgkH2x7xTXnvdDgXNOZyzLrc/oRe2/3/KtLS2+853r8w47s2K6ey9XmagfZpwzkSo7pXPfpPuo\nkqToK33d0dLim4zID2+CnXxIH11TGLmeZ2f9X+roSJlts1QxceWMsUsXq1bMmDjDp51S4twl6h4f\n376dr27YkLBe2pi4FPPdRFgVUOK8hcCDRiwbbKmvmbRKXBZjveva2gB8C8X7xdU5z65Xd3ayxqdE\nSraUIwfsCs/0p+x/JcEw1EKgpdqLHvz44kVOTU0lfCmdGZkh+sHnMAjwp2xh2r7Vx87Ucfky2NcZ\nDz5kxTNJzp+AxeOEGgaZ+Hu7oWfaGJmwOHo0fhJbFs7QdNHCic3ibD37HjSJRux1Vo5AW2xA3mAP\nDB2LmZP2Vy1qGzRi9cEuTCdmL/QmNlEJmWZaS5EBfHPjRowUX9HDpknIiAW2Wn19GHv2JD3kIsDh\nnTtZ4bHgXJqZoaOuDnMiVtg61de9m9vb+bntz+x+6bP//t2qVfzw4kUOjSfXg/N7YIaMWFIVJ3uY\nOmBXA6PHolG3ThzATX19nPDJmuRFfTDOr6vjSiSS9stsKgyge5nPUMqw6O5JfyP6fZ12vwDb/Rv0\nCfx9w9y5/JoSq5PLAEl9JKt7V7O0eRUq9WtcLl/UE7JTKr/D27Yl1YoyPH8hPjBIdb35ZVNNh3OM\nqxoa+OSKFey+dMlNbOL3qspFOXYwbStpqoQJXgZ27aLONJmvxC45uNnK7OmAcj5yTeDg108Hb6IB\nNaYHkq+vTU1N3Og8UD19yxbTMJi48cZYwXX7PGdqI9XxeDO4Ou1ESLT0pWorl+LMXguNX92lfFGT\nVrlKnC2bJ7dvZ+veve7zdKddaH5nS0tSyRq3r8pxeS1xm5ub2ZxlFke/QXOurG1szLxSgbyyo4Nf\nnzcv84o2/7x2LV/wKXMAxbFUee8jKL/FqiyWuDTKYikoRmITwLdOnHMcqmfTvVu2sLYAZcOPdIlN\nnH6bhsFxO16zlKQ6i5uamlicRW3T31+4kN9P8fEyXWKTu9avL8iSVZlCHkXG1xKXxTrVzseOHGHv\nyIirxE0PTvP0rU9zIdjEX7KWqOcsvPAC7LQjEHf/XFl2zSAYUL9gmtCSKYaPhWAywEMPRTl5Mr5a\nW88MzeeVm+5MPU/er7Sz9ZL7szEQYCoadWsNOUqc6k4ZMAwe3rqV1Y/FPWqDRiydf0pLnGmmzEyZ\nLS2BQMLD1ntpzFgWK30eVnPr6mgKBDJmp/xZby+PXL7sFrKGxJfWhOfBFTZNzlx3HU/ZdeNUQrZF\n0xl4q9Y1X0ucsj+vJc45TvXru/rycmQ0Jw8lzjQMupf5PJC7pmkMpX/J+KYw9wzcL6aw1qkt53KL\nqy8+VUnxK5rq9CFfS1xvczPL7A8CahZCg8RSCOq+/Nz8sk2xnCrbpoNzjM4xNAYCHJ2YoD2Hr53Z\nuJSN3Xhjyo8pkCgvP5dXB+e41YLxUHxLXCYlxqvMPuNTVDafJ5NzXTkv43wHgs515R2YzlgWH1i8\nmBU+zzS1VlU2X5sdVKvUs9dck3Zwl6tM1AGT4bn2l9jXiXcA+7q5cxlTPug4PLR1q+sm77SXTX9W\nNTRw2POhLdtBcyoKKRuRC/d4UtFnImCkztBpeJ7DxaJ4Kn92+0p1TxUr8yHEzlE5LYx+GZv9eFt3\nN+3BIO8+eDDpGZYpO6X6YcSbHbMY+FninD6pCl6mMJlikOpc7Nu+vaAPN62BQILnl5dC3LOhPO6U\n5cXw/12LSlyv8gVx8swkT974JO03tvOtJYoC1xAfJB44EN9272PKydkSsxqFDYP5O+J1yr76FXAN\nBZ2ThOtj1jg3Ju5sPS88qHw53xaPqQvbljg3Jk4p5qxa4rwPPW+NEC9hw8hoifP7rdLiSfPtp8T5\nsdwZQNjT6QY9u9ra6Ovo8P3S51XiopbF/FDI92YMGQYHxse588wZ6jyKmXoMUWIPIWfeA/fdl1KJ\nS+XG5ihxfinFM2EAC31i4sx5kxmVj3R1qFxLnI8S5yUXi1EqS9x65WHrWsXsPqgKXi5K3CdXrOAa\nO/5PjU2afvLJ5Jg4nxezq8RlOcjO9Lpz/POdF+g1LS0EDYPnRkezHoRsKIJF4TWdnVydRT3CdO6U\nhQ6Z1O3v3bKFJ5Ui995YnmwkXsggzrSV0nyHK0nulMr52aXE/Doc3rmT31W8OPKyxBkGG5uafN3b\nX7S/GOZyXx7dtYu7ldT73vhjr2vxXjsmLhXXeiyl2fbn0M6d/EpXV8IztBiWuFKSa7+ykYpzrrKx\neKfCL7a03BarVM/OYrqLqu/fcpDt9TgvFOJ37cyLXpkb4B8TZx+HX1HsYpIuVixV7cJyU2eaGePp\n0nHu+uu5Y82akj03akKJ814H8cFX2btSVpwvuJNnJnnq5U8x703zWPnZlZw4GT9wc0s81e6RI7G/\nlgX9e+Pr/Okt7UBMKZm3I1676q47lRM4PzYYb5kbAdO+uYbrOPGsPTAIWLA5rsTV2V88A54BqFp4\nM50Sl0p0xbDEdYdCCV+gvS/1VAN0ZxvXxcfu62U79a0ffi8Jr4uZ45rndfuBuKL400uX2NzUlOBv\n7VWOVEuc486m4lrilHnqS2e5/TV9xCf+LBMG0NRo0jDfo2zNn8hPiVOug8+tWsVn7HTD6cjlO40q\nD/V8dNXVpYyRUQfB+SYoUD9imJCkxBmev+rvbAcao5nq2tgWixnlumsJBNz6gpmw+vp4ZWdn5hWd\n9VPM/8Ty5TyuKE2pqPM8E9IV+87V9dP0XP+9aZTKbFou1K0wm7plqfrhTWySLqEDxJKuqIOTXCxx\nXiu1H47lLxeJLKmvZ45qObP/eq2M+SbcMMje7fqbGzZw9rrr3Gm/Dyy1Tqm+fZfbYpVJuSqGTHVI\nbJIrqbZ07rdSW8DS1WDLVGS72JRKcmE7eZK3/WLtryaeR4mytr8cpV2nNpi2LNovQf8rnqLzzXNZ\n9rFlWBYcPx5fJ7o5WYk7cgSGBu0z1DLNL2+OfVUPmyZzFCXOspSz2D1B0DAIB03oTvZPDm64As3x\nAamTeVKNX4HYBad+VfVegN74Fy9h00yZmTJb7uvtTYhN8F4aqb4AhTwPTTVZRSr8LHHjnoF71LMu\nJLvQ1Zsm6xsbuWPt2njbfkqc/fvmvr5kS5yTdTOFO2WdYfDNDRt4a4osmukwbAtT48KphPmR5SMZ\nB4fprFqGYfC+RYvcL4npyCkmTrXEevafqrcbm5pcl6hcLHEqapKThu3bGUtliUuhZGbDKSUW0u/K\ndIpoq8eQLjNipR+dqSxxHXV1Bb8I012ZfrE8mfjwkiU8vm1b3v2pM8383Sk9107AMFzrejbkZIkr\nwgAyG7zulF5L3C67FlzW7ZE+W59KfSCQ8LHPtXzU+tdhhaZAoODseRWPictif8WQqZHFfopJvh8y\nVAxIHxNXQkvcA1u38q/KeMZLpiLbxaZa7+qaUOJUDGP2WOKsCzP8zf+AB28y2HrzCQCGh2HU1sMC\n9VFYdcVd31HinFrYAKy9QnMwNvQPGwahOdMEl4yRxPyJeKr0xcnLG3YOJUzP8ShxQeXlm407ZaqH\najhTYhOf7bxzvEqF91HhdXd08H4NVpNVpMKbKQ6SM6k5gwr1XDiubqoS581C6MU04okeDMNIWt8C\nvr5hA9crLkbqPk3g1+fNSxuflAqDmGwaFicmU4msHMnLEpcPxXCnhPg1lK61vC1xJFqWvF8b/V7M\nuVqXvMlSUjGtXOeZ3JgriXvfee6ltQ0NWZUYSHdEuRxvtpa4q23X2XzIxhKXCvcjkz0dMAwWZRGQ\n726fhyUum54Wcne7Hgke5c2bMCoX8h0aFiM7pU5k81wJmSaDaTxN8qXc2SlTvYPySdqUbj+VSGxS\nio8KfjFxxeb6tjYWpxlr1IolrtTUhBKXStbqDVprlrjpoWlueccgD14Pu98ddl3gTpyIr9PYPQ0L\nJtxpp1zA/v1KQytGXRegkGkybVlElQQlLovGYkqcaULzPUmLW3ZdTph2lTh7Wv2SqrpTegdRdZ6X\ntJeQYWTtTpltULb3QZ5KifNa4rxfvv1wlqkK1a7W1sQ6ZZ51VZyXXdhHKfOibr1nzx73+Ifsl7AF\nvGnevIT4gAQlrkC3jJBp0rxBUfBDEegdKpsS9+qurqxirKBwZSXfPrv3EDC1b1/S10Y/C0dBg+A0\nx6keg/uRpYB9paJQ6aZysV7oo6AUktjES1JMXBleIsVwp1StVUuy/CCzOBzO+t6B+HVVLiXOdce3\np53747EMMXF+7W1Kk2Qgm77UxKCJ8lnY/WLidHGnbAkGWerzHMmnd7omNlHx/WDpExPnkG0cdiko\nuyWuxLLLJ2FcNtTK8yiOEf+j4UflohAZj/Dsa5/l6PYgX3479CgPIVWJa5o/EysfYFjusulpeP55\npbElo27watg0GZyeJvyrZ5N3uu5K3BK3YjRhUfO6MVo3JWbyctLUewsVm8S/7gRIHjRmTGySISbO\nb6vrfYLbVbyPilTulF4FMxd3StW18YGtW/mxErzvxsT5bO/05dTUVMavYn69uHj99W7dN7+Xtvpy\nK9QtI2QYvND3In2/ZJ+/245CYyTji6BYStxrurqyirGCxOvOu/dszkPuUYP2fpWvwoZhJGXn8rNw\nFPIqS/cInPZT4jR0p/TGxC2qr+fQjh1ZZxpMRy4v7nKch7oCvuZ7PzIFgH9cvZr7fNylvPxqV1dC\nuY5i8fo5c7ghw/M3Hak+mOViCfRya1dXXpkiS2n5mG2UOztlqg+JYdNkwCd9fT73uq6JTVR8E5v4\n4Jc1stzUmiVuV1sbF6+/vuj7qwklLimxiY87lAbXZFGIzkTZ/5b9hBeG+eEfh8GIF0K2LCtBiWvp\nnoGQRXBOLNlENArHjnmUuKVjrnIQMgyOTU7StX6SUN8Fd5WeZRFYFrPEBQ0D3ryS1q2xdPj1bRGW\nf/gYYTN+SX5y+XI3OYQ3Ji5gGLTbSkW+iU3SuVP68bMtW/jjRYtSLvdeGiktcR63Lj+rodfH288S\n561bk84St6y+nq5gkCuRCG/JUPtH3dqJQ+jMUAxbPZMFWeIcC1PI4rVfOsWuB5+E3zoGZE6NXywl\nLhcSYs5SKFLpelVQTJy976Zt29wXleVR5NPF7BULX0uchgNUPxfrVSmyY3rP1PsWLmR7GgtTLjFx\n5bhKg4aR9wDXr8RAV10dN7a3Z9y2VIrJdzZt8rWYZovTK+/HPWf+tTfemFt7BRxnMWKQZiMVj4kr\nk3JVjYlNAN+YuEq8k73UYkxcZwmscbX3PHIscYZRM5a4Z0dGWPHII1iWxcF3HyQ6HmXdnesYs4cV\nToY7i0RLXMuCWHkBNdnEiy8mlhpg6ZhrJQqbJgMTE3SHQrR88DBv/Z0Ixq6LfOarYxCwqDNihacx\nYfU/HIK/f5J3332cug0jCUrKr3R1udN+MXFtSrkB7wMoY2KTXNwpnTZNM60i4R0kZ0xs4vTFNAkb\n8Ti0lfX1CYXXvesmzPdRIvyO2TQMbuvuBvAthKySaYDi91hWB+2FDOAN4rKbF6ojEo7XCNRSiVN+\np4qJS0chSpxbJ84wUrtTpumfHyftr8mtnnsjV0ucji8E55xkm5BC5XOrVyckp0jVdjaUxRKXRWKT\nVEr9ta2ttCl1LHVUyHPFOYJiHUshregeE5drvyo5TM/0Lism6WLiion6DiwHRUts4sN0hdP7v6az\nk9eXwDMgHeW+r8USp5CqxEC6dXTmieFhty6WZVlsfuIJjkxMMPCJAUafHmXjf2zEDJmMjkHb850M\nno8PclQlrq07pty1LIqnfd+9G9zkdR1T0DLjppF1lJT3L1pEsCXCpz8/g/E/n2HtxtjJCxoGlyMR\n6O9nOjwDWy6zx7zAvpFEJU71DfeWGDAh0RLnOfZs3ClztcRB+hdWUnbKFBfLGvvrv9O3oGEwoWRH\nS6ckhT3Hk21MnEFcCcqUeEDd2i8OIZMSV+jL4IpduHrGsmKF3p2SDBoqcepx5+pO2R4MsiRP60KA\n+H02sXcvU5bFy9vb2Xf11YC/m1g2Z8fN2OhRWOam+PL3Z0uX8tGlS5O219Gd0iGbZDI5lxhIs8zv\nHio1hSQ22dHaytDLXuY+U3NpR3fFRH3iP75tGz+y3dEfySMmLl/8rORCZvzuo39bt46BXbvKsv9s\nslN6yUfC5U5s4tzfhViXDfCNibu6pYXX5FBGptj84KqreE2KUj9CIoXljtUE9b2dcD1X6bP2mn37\neOv8+dy5fr37tfyV98DZr55l26PbCDYHGRmBQ+9Yx9ShJh5qisDfPUn0Rjh+3MI58I4FMSWuc/EM\nJ+22f/Sj+HKWxWLbvA+DsG0hixBTMNRskpds5dJxOewfiblVqumpDUU58yZMCBiGay1QLXG7t2xJ\nWD+V6Drr6phXZJO0OuwLGUZKX+zfs9Pc+5UN8Lbj4BcT5902nSUO4uckUwrwTJd7JiWu0JfByzs6\n2NLUxEgkwpRl0ZKlsl1pd8pUcQKpFIIXd+7M+2UdNBJj4qaiUbY1N7PBTrbgW2Igi/Pj9GdROMxR\npcTAb82fzys7OpLW/6vly323L4X1pljS9YtD9Ladc2KTXCxxmiQ2yYQ3i2c14zyT2oNB/mTxYoCC\nsn/WsiVOl48t2dAaDKa1kBeTv121is3NzSXfT7ndKfOpW5jtM6w7HOYHStz+bKBaY11rwhKXgJHw\nx6USlrhTk5O84dlns1rXe3M5BXtnLIsNz8F7vgCbvr+J0LyYG8LnPw9Th2IDv+hoAL64kqhl8dLx\neDudPbE25i6OD3+eflpxn1uamIzEGSyGTROD2JdvAxKySV6amYHe3qS4sZSWOGdfysDVaW8iGnXn\nO3EbmSxxf718Oe/0uCyq5HMbqmc+VQbI5kAgnu0yxSDJV4lzFGOvO6XyO1tLXCaXEHWpXxyC3wO8\nWC8dwx583tLZyZVIhKloNCuLqV+G0nKQTQr/VI+Mzrq6vAcgap24Cxs38uUzZ3yTy+TqTum08fer\nVvGMbdWDmFy6s7Aa6hwT55BvWYd0XJMmXq4SMXHZJDbJ1I9UH5mqEedYgobBZ1euTFpeiZi46j+r\n5SWfeovF5OaOjoyZnb3km9iknB9OXK+NAlzCDcPwjYmbjVTrfV0TSlxKd8oKS+WBy5f5zoULmVcE\nzPvuc61cELdOjA6M8xcfh8/+KVjr4+mi77rL00B/OydPw5mT8YPusi1xPUtTZFtcmljvzRkkhUwT\n0zCYsayYQmYvd5U4kpN/qK5+pvI1OV3w7bTdvro8kyVOrYXmRz6GWHUQf31bG6sbGtK2m9IS5zPI\nTBUT52zbGQwmWfi8uJa4bOrEpVnua4lL22L2OPttDgQYiUSYtiy37EU6nrvmGp695poi9SJ7TOWF\n6707SqlUqkltxu17SB20q3X+HHJR4tqDQTbl8dW5VDFxd6xZw7vSfHTJhWwstrkOvt6+YEHWmQrL\nESVSZ5oZlS+vVd+L99lbzWQaqJbzCMtV4Dxfcu1VNVnuqoFyW+Ly2VOb5+OjnldyZSj3uSiW5a8m\nlLhEYo8mHSxxue7SUZAgNmCZuTLDi6/bzzfeBI9cC5ft5efPezJMAlgG995tcOWyfeR1UZq7Yj1Y\nshxfejeafGvDBnfaGaSEDQPT7oOqkNWZJnetX89vnDzpKnHOeW5SBhYGyS8874W2d/t2drS0EDQM\n/mDhQnd+MQeT2Sp06uDs+5s28YyPUpGgxPm8zHtCIa7yGTw763gHXs78z61axc22u5ufu46hnv8c\nLHH5xMQVgtNKi63ETVkWt82fzyeWLUu73ZrGRjfWsJyocRLZpl0uyn4VS5wTi1Co5UVtI195lsoS\n97s9PSwoIDuhSikscemoWExcmuUv7NjBzzN8Oa+pxCYZPuo99cADubVXSF+K0MZspBL3UaH82dKl\nfGH16py2MdBbiXtx506+tXFj8oI0deJmE9V6X9dcTBzEhGGRGB9XCSUu12xqqnVrOhLhwDsPEL66\nmW+/MWYxuxyJsAh48EH/7b/z7fhvY+4kAfv4r1oWhEAUIomKRPvKKd6opK13ehtWLHEBRYkIGgY7\nW1t5RUcH31QyYr534ULGFKuLnwLmvUG2KW5M/6A8LDO5U5YCVUqpapr5WuKUeYd37vQdNLmJTbyW\nOKctH1e6gH3uk/pQ4pi4QlAtcVdmZpiKRvmdnh668oxfLHX8kROEPmlZSfsq5ZWnxsSp89KRS0xc\nIbF6oPfAvxSWON1oyxArtDaLDx5+z6dqJZ3iZPX15awgFHJ1S2KT2cOGpiY3Tjlbyp3YJFdLzooM\nHkaznXLHxBVrbzVniUuUQ3W80p1BpJrafttXJhg/PE7X3y1zpe1Y4v7lp/Fi220r40kM7v5xXJzW\nnElMw+DcdddxbUcrgfnxMgMANM3wgd75CbMS3CmJuzt6B4jvfPWrE7YLGolFd9WbwfmV7Ysvkztl\nsfnx5s181+/rlAf1mPy+dDcEAr7ujq47pef4/SyUfrF2zvRAVIUAACAASURBVAeJbFD7mG1MXLEG\nJM6+mwIBRqNRpiwrYyKWSmISV9iTslOmsNAVAzU7pROLUAxLXKFJF7wJiBL2r0lq31Jkp0xHJWJ5\n/mPjRq4tIHEH5G6J+5PFi5NKo2RLqQc+md4f5ZSR7olNcnanLNN9XemYuHJRbnfKYmCAxMRVOTWh\nxKnPIuenju6UwzMzrHjkkaT1nMHJaCTCTDTKpmfgui9PsvHbG4mG40fiWOp+/GhcIet92yX/nc+d\nxATmhkIxF52eicTlS8bY0JT4VddNbGIYKS1xkPxC9SpxvvXO/HuZRKEFLHMdVLyqq4sbsiiGq5JL\n4oCU7pSe5enazXTpql+rUwVw39TWxst9shQWC6cPASNWS3AqGs0Yw1dJ1AKw5XSnrDPNJBkVQ4kr\nFEeh1dkSl012ymonZJoFK0bu8yDLdj67ciVb8szeVw6LORTvnhR3SqFUqKEPZdlf2fY0O6jW86nv\nKCsHvCUG3JdXhaXidYM6PjnJkYmJpPXcJCbRKJdOjvPnfwnf/UQDDcsbEgryvuKppxiPROBk3Cy+\nfMck9IwntcncSfcFGDJNDO86S0eZ43F1cwZJYdsS55fYBJJ93APEUps7+Clg2SplrhKX1drpKeZX\nYrUlp92slDj7b6rEJr6WOI8lM1u3XAPcjJBeGf28t5e7S5gy2FXigG+dP8+UZRVUYLXUX/hV1xev\nElXKPb9l3jw+tGRJbCLLmLhc3LLzHVJXwo05V7KxxBVzEKXeQ/qelWRqSbHNpDiVM95K9xTkusq9\nGmPi8qHclrj2YJDeAksnGIYhMXE2H1yypKRjpFJRE0pcAinuIR0scakGIY6iNjI1w5H/foAf3Qr7\nr4/FRQyPWPCpdXDbDrhnHoMjUThnZ6k0LeYuicCG4eRG5024wq0zDIz1VxKXr7uSFP8VVdwpDZIT\nm/ilQnfm//nSpdy1bh3gn1Aka0ucZ7t82dbczM05WtjSofYnl5gTZzvvw90vOUqqIr2ZLl3HPc+A\nlLXZ0mX1/N6mTRn2kBnVEqfuU1ecF+6T27fz1fXrE5aVcrDWWVfH4vr6hHmZ9pfLo6shT+tnWnfK\nvFosPpli4u7v7eV3ipQJ04u+V3Jtk6s7fsb2itCOLveDoBcG5VXiQqbJk0o5mXyQ51qctmCQXypj\ngfPuUCjv97VKTShxfolNDMOg0mNI78M+1Rd1Z3AS+PtzWAb8v9tg2nad/Pxf18E93XC8ET69np/8\nQDmo7gnqQwZcM5jc6NoR9watMwyi2wZJGN9vHUpYvTUQYJcdi+F1p3QeTI5lpa+vL2GwHjRitd8c\ny56vO2Wulrh83Sntv3uvvppr29ryaiNdu+rvbL761wcC/KK3N2nw4CY2UealiolLZ4l5eOtWPrZs\nmbu9o8SVOw4hF+tkNpTDTavOMOhtaUmqo9ZlJ5Yo+WDNjkXIZGn7la4udqSpZ+Zw5YYbmBMK5dWV\nakhs4vcRTL1Obmhvpz7LAvPZoN5D+p6VZHSJYSwGmSxxuT7nqkmOuZJzTFxJepHMrImJK3Nik6Ih\nMXEV4cGtW3lx586C26kJJS4B5R5SH1JaWOJSrDdjWazfD81fusScf11JNBCzzkWj8J9fUTKVRQ3+\n/EPxQUpg8XjsoXH9BWiJ15gLNM/AqpEEd8qZeRP84AcQfOU5mj7wItZtOxL6cPllL+ODtptXkjtl\nFpY48K9xlWscgVsUPMv1y4XfF9xsv+q+zMci6GeJyycmbldbG632wDWdJS4dxTjXqSyOuqKWGPDy\nV8uXF+Xhmi2Z6o+9bcECHt2+PWM7zXkWIIfqUOJyLdhbTHR3pVOpHRUuc4mBSlBL51coHlWb2ESo\nCHNDoaKU36kJJc5PQYtZ48relQScL6LO34hn2uFnxy/w0b+GgU/OgYWxL+nTlsWBAzB0MVFEp04o\n7neLxmPWsaYIfHw/XXMtgk0Rej92CkLRBKXAAl5xS5SZj+5n9DXHffurFpU2DYPpaNTXnXLPnj0J\ngz1vfJcOlrhio7ZbjJd41jFxhpFxkK8G/7fYA/lyxyHkYp3UgXRfTRsCAd90zEXHjkXItRRJKXCu\nQ78zUvnexYrCl8pVMhXVGstTTnmVKztlqv2Us8SAkB/Veh/lSncoxNw8S+pUCgMkJq7KqYk6cSqG\n4Z+WvRLjpGlFeQsahjsdJdFlrv/3DzKzFea+uomf/pcJX13N5VuGeSTDOLJuyQR1hv3Q2H6Ji9+4\nj5ZokHULOtl7LlERChkGL4yNpW3PGdSqxb4DSl8TLHEed0pIb3XL9mtBOkVQF4pxKeWUnTLDxesO\nwA2DlxXRhTQXXCWuInvPHZPMxdPLRSYlvRyM2HUedbU45VqzqdjoeVaEXBE5xtHh40wt8fc5FgfX\nAV2f90L2lEqJ+wTwTuC8Pf0R4Mf27w8DbyfmXfg+4O5Cd5ZQYiAhVWWhLReGo7RNWxZB4nXgnFgz\ngHPfPMfG5+Bd/wK3fr2J73wwDCzk1Pd7+MTi9O2HF08QNJQYGAOuBGZosl3qVEWozjR5ySczph9B\nxxJnJzbxZvHr6+vDvP/++Poe61kxslPq9mgptiUuXZ04dZ7fB4lUfTOAWzo7sSoQg+CNibu+wFpX\npUaN9UxFyWOL7FgEHWKYLtk1KIU4VRsTV+kOlJFKxFvpcL9WE7MlJq5qkZi4qqZUSpwF/K39T2UD\n8Cb770LgXmANRfwY7VjikjpUgefulKK0eafDwNTZKQ79wSH++i9g4mID//UJpY6XZXDsWHxyznVX\nuPBQYnKD+iWTSRkmgbgSpwxS6wyD05OTSet6t3un7bLkWuJSZKf0c6d05niVR4DNTU30ZJF0oRrc\nKefU1RWspLiJTXwscep5zkaJ06EIrded8u1ldn3LFZ2C0HWwxKVT4mTICttbWrhcJYquKBmpEctD\nHLlKBLkbqp9Seq35XR+vBb4GTAMDwGFgh896OeFX7Ntvqtw4ljhHiZtUpi3L4uB7DjL/bd0cWFAH\nf7mB6fEU4jAslt9+PmGWWR8hvGDK1yWsSUl04RAyDE5PTSWtqxIwDP7P2rWx9u3slCbxF5/Tuz17\n9vgmNnGVCaVPTqa/JfX1nLzuurT7B/+sjZXmGxs2cJeShj5smjywbVtBbaazxHndKf9g4ULutMs3\n+LZl/1W3qnRMnC4KUiq0CELXKCbu0vR05pVmGeo9tLu3l71ZJJeZbVRaYaxETFzl79biUK537GyJ\niatGJCau+illTNwfALcBTwD/AxgCeoBHlHVOELPIFYRvsW/Py6WSMXHTPpa48986z9jzY7R9cTVc\nPw8O21a2YBRjwQTW8Ua3neYVk7RvvwJdk3Axls0muukyE0T9lTjb+pVgiTPNjEqcikG8Tpw7L0NM\nnF88W1eOgb4BH0Ww0vzGvHlFb9PP4ugXE2cAC8Jh3trdnbItw6etXCjGmfbGxOme4CQbS1y5Hhk6\nWOJyvU9nG5XMjJkrtaJkFJvl9fUF1w69oa2NniJklCsFubwzH922jWWeepWCIFQfhShx9wB+I8uP\nAl8E/tKe/ivgb4B3pGjH951z++23s2zZMgDa29vp7e11faudLzvO9OTkHnurPgwDJvbtA8vCeJVj\nLdlDzJPQf/tiTkcti9/9xjf4re5uppYuBeAXe/YwJxRi0ram/Px793Lm3Ye57Ue38XdfMeDw3lg3\njZvgfYcIjj3I9B0r3P62rv4Jg/suwFvrMf5uDVb457DzCKenVsUGos6XFNu3+dRjj8HJk5i2VW3P\nnj1E9u/n9MtexobGRubv38+ePXvSHs+VgweZ6ekh4Czv74etW135zOzbB5s3A3D44YfZ09VF0N7/\ng/fd56Y776qry+n8BezjeWpkhJt++ZdzOv8Qe5H5LT926hT09OTUXimnr8zMQDCIoSzfdsMNAEzs\n3QuTk648M7V38KGH4PhxjF27ks5HNtuffPRROHQI8jyefxodZY79gcCR34HBQfi1X8v7/Fw6fBhW\nrcp7+0zTU5EIn73mmrTrW3bJjVJdD458X3r4YfYMDMRjR/r7eXZoiDe87nUl3b86/c5IhH+58Ubf\n5acefZQ9p09X9H5JNW1B/PmnQX90mH7mwQdhYKDk5wNSP2+LOU1/P3tSLO/r68u6vZeK0J/7t26t\nuHxTymPhwpzWn1em/jnzKn1+ZDp52lH7RT56Tff39zM0FKvlPDAwQKVZBjxj//6Q/c/hJ4BfQSYr\nFxYssKyYrc2yHj08bi166CFr4YMPWo8eGnfn9/Tk1GTeDE5NWezebVmWZX3kxRctdu+2jo6PW5Zl\nWV86dcpi927r8Tc+bd31O3utmWjU2rh9xu3jvPcetdi922q7737L2DRkgWU1tUesV999wLr1qacs\ndu+27tp/weKn91ns3m2xe7f1tTNn3N/OP2c/d54+7fZr7SOPWGsfecT61tmzWR3HtXv3Wn986JC1\n/tFHLcuyLHbvth4cGnKX9zz4oLs/Zz8PDg1Z7N5tXZ6edrf5l5Mnczp/TwwPW+zebT2g7Ctb2L3b\n6n38cd9lH7JloQuXp6ctdu+29ly65M67Ys+76rHH3HP73oMHM7Z15+nTFrt3W8ft6ywfxmdm8t5W\nZa8tv2yvs1S84sknKy6vD5f4mnFk/MmBgaT53z53rmT7zQV277be8fzzle5GSj579Kh7HoUY3z53\nrizng927rX8/c6ak+3hhdFRkmyXvPXhQzpWQEy+MjlqfOXq00t0QMkAaBwuzWJqaBzWrweuJK3Hf\nB94MhIDlwGrgsWLu2ElsYhhGQp24crlTOhkoI5bFlMedcjIa5ZrHYGzvCO94wzBfeWGQ5/baDmim\nRcOvngWgLmBgffZpHnnE4u8evUDbwhm+vG4dAaC+KwKhuANW2sQmyryGQIAD4+Nsbm7O6jgeHh7m\nb0+cSGjD+b1nT2KdOG+JAWe9n151FbelcQP0w3HH09sZr3BMz19In90zHX61lNyvs1lSn0eRcD+c\n60J3d0otsC1If7RoUYU7kh6dXJvLSa73kC6Uq3TGa7u6uLFCJU0cqlVGswmRkb6sbWxkx0svVbob\nQgGUKibuM0AvMe3xCPC79vz9wDftvzPAeyiCC3/KxCYVGHuM2UrcdDTK6BULDjUzsc2CBpgei/CH\nn4Pw5xczFT7Mo48qG64fZqZpGuywNbMhwvZrLA6ci1J3yWB+KMSO1lbGo4kRNH5xPX4xcSH798oc\n/eC9hacdVOUjVWKTWzo7c9qX2kapvi7ogp/C5hyzqk5lcwk72+kw1K6WmDhdaDJNGn0UaEuDZCcO\nOvVFyMxrurp4WHF9LxXfs93pBUEQhMpQKiXutjTLPmX/KwmVLjEwahfNfeY5i397xTIYDPJbX4rw\nwL3Q9Y+DHFoNy1/RAk/CS08pyQTWD7vZKy3Los6u0zZtFwqH2MB4wqPEZZudMmK3HfSx3KXDzyrU\n19eH+Ug8P00qS1w+FJrYpFpUh4CPsuqc61yzJhqe8w+J8QjlpJYscSV/ZPT2zlorVzVQqXuoUAKG\nwa4KW8iKRaa7o1plNJsQGemNyKe6qQmDR0oFrYKWuA/8kcnEYExHfurRAHf82Rjz7hrmn34fVxE7\n+rSixK254mavtICQaTJtWczYCh3EBveZlLgAydkiIVZZPR/UNsIpLHHesgCFnPZSlRjQzZrgulP6\n1NtTFaCGLJRurSxxVVJiQBdSnSVR7rJDr7taKDYiX0EQhNTUoBLn/9gvqyVuJMgvfq6eWov6Ow7x\n3G90cuHxbo4fByw4/nQovsraETeeLkpMOds9NMSR8XF3QBw0DL5+7py7yQcXL04aLDcHAr6uevnW\nonIG5U9dfTVb7Hi6lDFxBaa6V/dXSBvVgK8lzrPsqauv5s/tDK3p8KvPV6k4BFcRrcjei0tnsJQV\nWID+fi0U70zM1oG0xPLoj8gojq7PEpGR3oh8qpsSj1IqgOpOWQlLXCQCz7ckzHsZF2iYnOJd/7wd\nMPm9L0bhg3MYuWAPdRtmYNEYk/ZoybIs6kyT1z37LADvs1MHB4CHhofddn9v4UJOxWonuDQEAr5J\nM/KtReW0cZUnIUpCLJdHISnIEufjGpgLqbZ736JFrG1sTLG0/Biev5BcVN17zjO1pcMXmVqKiXv/\nokUlqRGoUv1nSRAEQRCESqDDuK9gUiY2SbFOKRmNRmF/qztdR5Tf5UW+wEqi9ukeHzHhY5viG60e\nSZCERWLWyboULmphw6DVYy1oME1fa1akQEucSl9fX8KFM2bHAeabXdFvf8W+MHvCYd62YEHmFctE\nOne5XM+fn/Jc6Zi4Qt0pdbD+1JkmS0tZEFdi4rRGYkUqj8TEVT8iI70R+VQ3NaHEqRiGOkAu/1Aw\nZomLK3Gv2/UUJwKN7CNNpsa1VxImoyTGnwVTKXGmSbuPEudrictTiUv1ElWVu6GZmYR1C0ps4rRR\n44lNHLxS6b/6asJ5Jp/RQSGopcQm5cDvLN3a2cmu1lafJYIXHZR9oXSsbmjgvzZtyryiIAjCLKQm\nlDg//cQ7OCqXJW5kJq7EtTHFbz53mebPL4D1w7DrImy9lLTN8i3T3DZ/vtJXi+0tcZdMxyrnHRiH\nTJM2T3ryBtP0HdTn607plxDFGxPn1MHzq1eWK4W6U1Y7W7J0oVTxc82seEycKHGZSRET98OrrmJh\nOFz27qRitipKEitSeQzD4JfnzEm5XGSkPyIjvRH5VDc1GRPn+7tMnDoSgOFY1sm3h47w81fCr74p\nAOv3xVYYaIS37UjYZsnWKTY1NbnTUWBHayvfPH8eSGOJMwwCtoJnEBtspYqJ+9e1a5Pi57IhlRvm\nqzo7iVoWd65bxwal74VSDJfMaifXIzc1UnydTwqFulPqcCyCIAiCIAi6UhNKnFfPMCDmV5lmnVJx\nZF9MgVvKKDdGz/GO22HBFcVdctkYa/vGObCnITa94TIti6cTlBYLaFEsbKli4tSab87hqZY4tc0b\n29vzOp4ZnxPX19dHH/A/V6zIq810OEedd2KTKlP+/C7LnJU4n+0q5efu1jSsyN6rjN5eUVYLxCnB\n8YHFi4vetsSK6I/ISH9ERnoj8qluak+JU0ZFlRjPD+yLuUG9nSN8rbeFqY4rfOTIkYR1fuWz5znw\nkTBMG/D2AQI0JAzmLMtyC3YDCcW+M5EqJi5f/JS4UlKqxCa1TDHcWItFsdwpZ4sLnw4yy4TOsnh3\nTw83trXR29KSeWVBEARBqCFqbqxsKCUG1MFHuXSR40+GWMsw6xnme6+Hep8kFcGuGfjo8/CJ/bBk\njIBhJChxUaBJ2c7rTvmRJUsS2vvblSvptWOpUmWnzBc/d8pS+lDPljpxDkWxxPkovpWOiZNi31lQ\nJXXidCZkmiVT4CRWRH9ERnF0fZaIjPRG5FPd1IQSlyqxiTqOLIcSNzgIp58P8Q6OcBfLmLpqJCHL\npMNENDHNiFeJs4gV7XbwulNu9wxa/mjxYjdL5brGRt9Bfb5UyhJX7Dpx1cRHly7lMzm4qhajPl+x\nkMQmuSFnSRAEQRCEfKgJd8pEFKWjzCOkf/93uCoyRA/j/GhtEzTPUG8m15ly6qo5BAwjwfIUzeBO\nubqhgcHrr09owwSuaWnhE8uXc2hsLDavRJa4UvpQF1pioNqwfM7vtW1tXNvWlnUbjkue6ppXsTpx\nzt9ZIr+C6O2tdA8y8vUNG9g5S10VJVZEf0RG+iMy0huRT3VTE0qcb2KTDOuUog9/+TdTfIIj3Mky\nIv/tHEBSza8G02Q4EiFoGK6Vy/T02YIEJc5riQsYBh11dQntmobhrlfMbIV+JQZKicTE5Y6WlrgK\n96Na0P1jxZvmzat0FwRByILuUKjSXRAEoczU3li5QolN+vthxbErNDPDzxu74NbTQHJMXGsgwPDM\nDI3K/CjplThvTJyflcMkruyVOrFJOWLi9B7aFo9ifFvQqU6c4fmQkHc7xeiM7khMnNZIrIj+iIzi\n/MnixZy57rpKdyMJkZHeiHyqm5pQ4pIscfYAUnVVK7Ulbvdui//OMe5iKdFdgxCOxb15LXGtwSDD\nkQiNipIWsaykQa8aS+cW+7an/YRmGgYhe71i1lord0xcoZkWq2lQ/JX167m6CK5qOtWJKxY6Z0QU\nBEHQjaBpMl+scYIwq6gJd8oEjPifclriDn//EtcxxR7mwZZD7nyvEtfiZ4mzLHcA/p6eHm7u6KA1\nGBdNtpY40+PKVgwN/czUVNK8UvpQ+yngtcpvzp9flHZcd0oNYuKEHJA6cVoj95D+iIz0R2SkNyKf\n6qY2LXFZrFNsNj5xnK+xmCgGrBpx53uzU7YGg1zxWuKI9/kNc+fyhrlzaQ0G+fjSpUByTJyf0Axl\nvWJa4rbZpQvKTTTzKoKNoaElTqe+6IycJ0EQBEEQ8qHmlLgEvaVMI6ShR4aZNzrG3XTHZiwec5d5\n62U5MXFNHkucX1kAb82tdOnbTcNw3S6LFRPXEwqx9+qrk+aXw4c6X517Ng6K/eRdaT/3loCkNslI\nf39VFPuerVT6HhIyIzLSH5GR3oh8qpvadaf0DI5KaYk78PFjfJ3FzGBCxxSNbVHGbFNSKIuYODWx\niWo9Mz1KXDCNhS0hsYlPyvl8qGSa+NngTlksiiXvYmGJe0bW6CExQRAEQRCqjZqzxIEyMCrDCGn0\nhVHGHrvMD1kQm7F4zM1I+a9r1yZZ4loCAaYtKyEmLqLExCVY4uy/SSUGfPphGgahImenTLV9Kh/q\neUUMqs7XnVIXRaac+GWnFD93/XnPrbfyh4sWVbobQgrkHtIfkZH+iIz0RuRT3dSeJc52xPMO5Utl\n2Dn5uZOc3dHD5N22arVkjAZbQavzUShabQucWkJAdac00ljiApkscUXOTpnr9vNDIbHCVACd6sQJ\n2fNPa9ZUuguCIAiCIFQpNW2JK7VRZvriNOe+fo4nFvbEZy4ap8FW0IKGkRTb1WJnnUzpTqms6/z2\nK/btRS32XayC2am2L7UP9U+vuorVDQ0l3UctYfh8AKh2P/eVs0D+1S6jWkfkoz8iI/0RGemNyKe6\nqQklLgFFv1EVqFJY4k79n1N0vbaL58+G4zN7xl13Sj9LnONGGTIM1y0ywZ1S2cab2CRddkrfYt8F\narEddXUFbZ8vt3R2zoo6ccWiFo/5H1evZuiGGyrdDUEQBEEQBC0ppRL3B8DzwLPAZ5T5HwYOAS8A\ntxRjR6qC5vw03P+S1ykGux59gpP/eJJF71/ESy8pCxaMp3WndJYFDcOtIRexLFdpSbDE2fPcYt9p\nLHGGX7HvPI8N4MjOnfxo82bfZeJDrT/VLqOQadIWrEFvb4Vql1GtI/LRH5GR/oiM9EbkU92UapT0\ncuBXgauAaWCuPX8D8Cb770LgXmANBZYF85YYMAzDzm5YmkC4qWiUxh+OEFrVRtNVLRw5oixcMEGD\nGaut5k1qArhWuoCtdI1Fo0Txt545lrp8LXGFWGiWzQJ3tlqhFi1xgiAIgiAIQmpKZYn7PeB/ElPg\nAM7bf18LfM2ePwAcBnYUdc9Gwh+XYlrihmdmeOO3YfRdndzx9HkmJ2PzGzsj0BSJu1OaZlKq/JBq\nibOVrlTZKV1LXI4xccUs9u2Hzj7UotDE0FlGQgyRkd6IfPRHZKQ/IiO9EflUN6VS4lYDNwKPAHsA\np2J0D3BCWe8EMYtcQZQ7scmFx4fpHIQ/XHGW3/9F/HDmLokApHWndMoANJim604ZJZ6Uwi8mzk1Y\n4pmv4hsTl/uhCYIgCIIgCIKgOYW4U94DdPvM/6jdbgewC7gG+CawIkU7vjay22+/nWXLlgHQ3t5O\nb2+v67vrfDlwpiORPfZWfRgGjO7di2VZWMs32fP3MDMTW+63fa7T9/71f/Gf2y8zwi441UBMT4X5\nS3dyFBjeuxeGhqjr7Y3tvr+fRaEQJzZsiFni+vs5c+YMoeXLAbj0+OO8MDAAnZ0Yyv5MOwX53vvv\n52Q4THDdOgDu37OHgGkm9O/ssWNstKfvv+8+eOopzB07inK83mlnXrHaK9a02jcd+lOu6X333w+H\nDoGcD5mWaZmeRdN9fX1a9Uemk6edebr0R6YTp515uvRHpvfQ39/P0NAQAAMDA6SjVN5nPwY+Ddxn\nTx8mptC9057+tP33J8DHgUc921teN8R01NfjujQ+cX6U337pOSzgK8s3sn1eEwANDTA2lvNxJDFz\nZYYHljzMG/9PhLqeEGfu6IG7lgHw+j8c5buve5zbu7u588wZHtq6lf99/DjfuXABq68PY88efrx5\nM69+5hn+14oV3HnmDM+NjbG9uZkPLF7MW55/nmeuvppNzbGYui+dPs07DxzgxLXXsjAc5utnz/KW\n558netNNSdkb3/HCC2xqauKPFi/GsizM++7j4I4drG5sLPygqwRjzx6ua23lwW3bKt2VsvLE8DDX\n7NsnNfoEQRAEQRBqCHu876uvmSXa5/eAm+3fa4AQcAH4PvBme3o5MbfLx4q5Y8PwP9JixcSd+/o5\npq9r5OIcGI1E4HQ8Acji5bGdpHOndDJNNgQCvH/RIiCNO6WzjWeZX/p9NSbOrRuW1xFmxvlyoCOz\nMSbO73rQWUZCDJGR3oh89EdkpD8iI70R+VQ3pVLivkzMffIZYolMbrPn7yfmWrmfmLXuPRQhhWRC\niYGEVJWFtpzM6X85zdBvtgEwEonAibgSt2RFbN9OApJ2nxTpC0IhIJal8p09sSLhEctyBaEKxFHa\nQlkoZYvDYRaGwwnzSpObU9CN2ai4CoIgCIIgzGZKVWJgGvjtFMs+Zf8rGkklBihNdsor+64wdX6K\nyzc2wIt2m8fi7oqr1kThdDzxSJenWPb0jTe6ipljrQPbEmf/9k1sYq+bbrD+53b8YDno09htb4FH\nkZ2t6CwjIYbISG9EPvojMtIfkZHeiHyqm5qrppvgWVZkE8WZfzvDgrct4NmA3fCFEIzZp7B5mu5u\nA07H128LBhOsYUFFcXOsdR9cvJiNTU3+xb7tv143refKGgAAIABJREFUyWyZbZa409deS0uNF4gW\nBEEQBEEQhFK5U5aVBHdK+2+xLXHR6SjnvnGO+b89P64cHWuKr7B0jPpA7HQOx1Jhpq3T5pz4T69c\nyW93d8fdKZVtvHXidHGb09WHujscpikQyLxijeF3XegqIyGOyEhvRD76IzLSH5GR3oh8qpuaUOIS\nMJTEHkXUegZ/MkjDmgYaVjTElbijSubHJWNu8e7LthKXDq+CZ3j+AkRtzdPPSicIgiAIgiAIwuyk\nJnzP/CxxsfmW7zr5cPaus3T/dqwsXmTGgu8uhM+vjq+wfJSw2Q7ADW1tzNg7TLVbr0Lml50ymmKd\nSiM+1Hrhd1WIjPRHZKQ3Ih/9ERnpj8hIb0Q+1U3NGXfUxCbF0nmmh6YZ/Okgc399LgDf+os2+IfV\niStdM0iz7cq3oqGB723enLbNVJY4VSCRAjXP2RYTN1vRRbkXBEEQBEEQykNNKHEpLXEp1smV898+\nT8crOqjrrOP4cfjF/21KXOHaC7B0jI5gkF2trWyzi3WnY4kni6JfTJxXictVWG0lig8TH2r9ERnp\nj8hIb0Q++iMy0h+Rkd6IfKqbmnCnVHEtcZ6q34UocWf//Sxd713ATDTKN75hEo3YDTfNwLtfhFvO\nghHLPvnwtm0Z27N8zNd+cW9eJS4Xe4vfPoTaROxwgiAIgiAIs4uaUOJSKWjF8DKbPD3J6FOj7Gx9\ngXcdHuaFn6yJL3zPYbj1TIa+Zac9+tWJi3jX0cRtTnyo9UdkpD8iI70R+eiPyEh/REZ6I/KpbmrO\nnVJ1oiyGO+WF716g8zWdTIfg/kuXefxxZeG2S/k16oPp+Qvx7JQOeqhwgm6oheMFQRAEQRCE2qfm\nRn/FTmxy/tvnmfvGWEKTky+ZDA/bC9qnYP4kAAFgZX19QfsxfGrBFeJOWUrEh1ovVjc28uLOnQnz\nREb6IzLSG5GP/oiM9EdkpDcin+qm5pS4VAa3fCxxU+emuLLvCp3/rROAi/sb4gvXXHG1qt+aP5/D\nu3blvgMFP3dKb4mBkFhchBSsaGjIvJIgCIIgCIJQE9ScVmAoxb4LNV1d+N4FOl/VSaAhQJ1hwIGW\n+MK1V9yfxXBn83On9FriXt7ezgNbtxa8r0IRH2r9ERnpj8hIb0Q++iMy0h+Rkd6IfKqbqlfiUiY1\nyXK9dJz/j/PMfUPMlTJqWXBQUeLWjLg/G4uQyt+v2Le3y6ZhcH1bW8H7EgRBEARBEASheql6Jc6L\nlWYqF2YuzzD80DCdr465UkaiwCGl/luRLXF+xb7f3dPDvVu2FNx2sREfav0RGemPyEhvRD76IzLS\nH5GR3oh8qpuqV+L8LGxOYpNCGLx7kLYb2gg221UYTjTAmP27YwrmTLrrplPislUj/WLiGgMBXtHR\nkUOvBUEQBEEQBEGodWpKiTOMRKWpkOyUF39wka5f7uKfT51izaOPelwpryRoicVwpzR9in3rivhQ\n64/ISH9ERnoj8tEfkZH+iIz0RuRT3VSDzpA13nwmXitYtnFxVsRi8MeDnLkpzLsPHuTQ+HiyEqdQ\nTHdKXQp6C4IgCIIgCIKgJ1WvxKVMbFKAMjT8+DB18+o4s8Bu41gD/GhBfIUSKnHVIBDxodYfkZH+\niIz0RuSjPyIj/REZ6Y3Ip7oJVroDxcQwwFK0Oj9LXDa63eAPB+l6TRcHp6fhjhXwjSXxhaYFG65g\nKO03pHGnzDYmzvTJTikIgiAIgiAIguClGgw/acmU2ETVibJ1p7z4w1g83AM/MxMVOIBXn4bOKYJq\nApJZZokTH2r9ERnpj8hIb0Q++iMy0h+Rkd6IfKqb2rPE+c3LodLA1Nkpxl8ap/XaVu7+i7H4gqWj\n1P3yGaZffwKAgGEwbTdcDHfKeH/FEicIgiAIgiAIQmqqwfCTFl9LnK0I5ZLYJGIvvLT7Eu03tTM+\naTLwQGN8hU8+S/A3TkIgtp564tK5U9Yi4kOtPyIj/REZ6Y3IR39ERvojMtIbkU91Uyol7uvAk/a/\nI/Zfhw8Dh4AXgFsK3ZG3xID722deKv7zwgWC990HwNDPhui4uYO77wZr0j49y0Zh0XhC7blAlu6U\n2RoB8y9LLgiCIAiCIAjCbKJU7pRvVn7/b2DI/r0BeJP9dyFwL7AGiBZjp153SstjektliTsxGS/c\nfelnl1j4hwv5yectXFXwugux9pVtVCUunTvlW+fPL0rMnE6ID7X+iIz0R2SkNyIf/REZ6Y/ISG9E\nPtVNqWPiDOA3gJfb068FvgZMAwPAYWAH8Ei+O8glsUkqWmx3yPEj40TGIjRtbGL3HmWFay4BiZpm\ntu6Ub5w3jzfOm5e5E4IgCIIgCIIgCFlQahPRy4CzwIv2dA9wQll+gphFrij4JTZRSWWJcyxlgz+7\nRMfNHZw5Y3DooK391UVhwzAQj5uD7N0ps8VrNdQZ8aHWH5GR/oiM9Ebkoz8iI/0RGemNyKe6KcQS\ndw/Q7TP/I8B/2b/fAnw1QzsFaS+pLHFOw9lY4hwL2/l7B5n/S1088ICycP0whGJrzPgocXeuW8ec\nurqc++2lelQ4QRAEQRAEQRAqSSFK3C9l0fbrgW3KvJPAYmV6kT0vidtvv51ly5YB0N7eTm9vr+u7\n63w5iPvyxqYNow/Lshh+4omYYrZmTcJyy/Lf/qkHHoCjxxjefQ1rP72S//yzPfZ2fbylr55nDh3i\n2dFRor29sdn9/cwEg7BpE9e2tnKfnRQlVf+ymX5qZASam/PevpzTzjxd+iPT/tMOuvRHpmVapmW6\nmNN9fX1a9Uemk6edebr0R6YTp515uvRHpvfQ39/P0FAslcjAwADpKGVRslcBHyQeDwexhCZfJRYH\n5yQ2WYVfNYAs3QvHxqCpKfa7vh52n7nM+w8fJgJ8YfVqbpjbytRUbPnEBITDyW18+fRpPn7vAf79\noyF+8YsePv3f2xh7sAOAr3wF/mbNE+wbGUnYZkk4zLHJSQ7t2MGqxsbkRnPkF0ND3NTfj6XcWIIg\nCIIgCIIgzE7ssmm++ppZwv2+iVgSE5X9wDftvz8G3kMRPQm9rpPZ1ombjEbZ+BxYOxq559Ilxg7E\nlbLeXmgMBJJOlGnvzCxSce5qcqd0vhwI+iIy0h+Rkd6IfPRHZKQ/IiO9EflUN6XMTvm2FPM/Zf8r\nCl7FzJnMJTvllGWx6VmYelkDk4MTcCFmrguEoqxZY/Jf1ibGo1F6Hn7Y3SboKHEF9l8QBEEQBEEQ\nBCEXql4H8Sv2bZses7bETUWjbHoWRrbXM6xY4brWTBEMQntdHXM9yUucogLFssRVE33i8qk9IiP9\nERnpjchHf0RG+iMy0huRT3VT9UqcilpiwM8Sl0qJi16aYe55uLy2jpHnG9z5CzbHi4A72Si9ylux\nTmA1lRgQBEEQBEEQBKFyVL0Sl67EQLbU753gwFq4NBllVLHELdo0HW/TMDBQlDmJiRM0RmSkPyIj\nvRH56I/ISH9ERnoj8qluShkTV3aSEptYVlaWOH44zbMvLOT/rltINBLfYNnm6YTVAoYRU9osK26R\nK7zbgiAIgiAIgiAIWVP1SlyhiU0iEeBHUZ6f6CSq2vDqoixbP5OwboB4QpPZbIkTH2r9ERnpj8hI\nb0Q++iMy0h+Rkd6IfKqbmjIkuYlN7OlsEpvs/rnF8olRDtCcuGDHIC2NgYRZAcNwLXCBYsfEFakd\nQRAEQRAEQRBqm6pX4pIscfYMJ0NlJkPZnm9MMInJJZQq4G1T8K6XkpKNuO6UxE/cbMxOKT7U+iMy\n0h+Rkd6IfPRHZKQ/IiO9EflUNzXlTum1xKVb1+Hc/Vc4SEts4q+fgRUj0DUFdRZj0WjCugHDSHan\nLKTzCje1tfGdjRuL1JogCIIgCIIgCLVK1StxKkmJTXzmqUQiEHhphEOOK+W6K9A55S4f9yhxJqXL\nThk0TV4/d25R2io14kOtPyIj/REZ6Y3IR39ERvojMtIbkU91U3vulPZfP9XKu+7x47BiJmaJa+ic\nSVDggOQC30pMnOn5KwiCIAiCIAiCUA5qSgdx3SkV61g6Q9nhQxZriClx81YkZqK8vrWVdy5YkDAv\nYBiuBS5YZEtcNSE+1PojMtIfkZHeiHz0R2SkPyIjvRH5VDdVr8SlssR5f/utO/D4JBEMLhKiZ3mi\n6+R4NJqkoAXwcafMs9+CIAiCIAiCIAj5UJMxcQbZ1Ykb7R/hAi2AwaIlcQ3vlR0dbG1uTlpftcSZ\ns9gSJz7U+iMy0h+Rkd6IfPRHZKQ/IiO9EflUN1WvxPllnIwvszzTnuUvjTJAEwBz51t8cfVqfu/Q\nIe7ZssW3vYQ6cfZfscQJgiAIgiAIglBOql4H8ZYY8CY2SWcoqz8zyhFbieucZ7lxbqlQ68QVOztl\nNSE+1PojMtIfkZHeiHz0R2SkPyIjvRH5VDdVr8Sp5Fonrm0wbonrmpfGpGcTIDmhyexT4QRBEARB\nEARBqCQ1506pulB668Sp60ZnonRNjHOURgDmzLNY2NCQdl+mGhNnzzNmoSVOfKj1R2SkPyIjvRH5\n6I/ISH9ERnoj8qluatYS5yhXqXSs8UPjXCDEpB3dNmeexcs7OojedFPK9gOG4Z6wzHY7QRAEQRAE\nQRCE4lP1SlzaxCZp1j3/+CgvWTFXSuojNLc4Sl9qy1qA2RkD50V8qPVHZKQ/IiO9Efnoj8hIf0RG\neiPyqW6qXolTySWxycUnxjhqx8PRMUUwC90sYBhuu2KJEwRBEARBEAShElS9EudniUtlTXPWnYxG\nufLCGMfteLiYEpdZi1PdKWcz4kOtPyIj/REZ6Y3IR39ERvojMtIbkU91U1M6iWqJg+TEJg5vfO45\nhl8c5QR2IpOOaTdhSTrUEgOCIAiCIAiCIAiVoOqVOF9LHP6p/511B6enCZ+eUJS4qeyUOKVdbyHx\n2YT4UOuPyEh/REZ6I/LRH5GR/oiM9EbkU92USonbATwGPAk8DlyjLPswcAh4Abil0B2lKvatzvNi\nDEYgCpepi83IVolTLHGzV4UTBEEQBEEQBKGSlKpO3GeBjwE/BV5tT78c2AC8yf67ELgXWANEi7FT\nb7Fvr7XMmWw9OsPFpnqYtNfsnLILDaQnYBjp02HOEsSHWn9ERvojMtIbkY/+iIz0R2SkNyKf6qZU\nlrjTQJv9ux04af9+LfA1YBoYAA4Ts9rlTSqdKl12yvZjUc6G6uMzskxsYirtFkXrFARBEARBEARB\nyJFSKXEfAv4GOAb8L2IulAA9wAllvRPELHJFIWYoi2t1qerEdR2LcNyJhwPozD2xicTECTojMtIf\nkZHeiHz0R2SkPyIjvRH5VDeFuFPeA3T7zP8o8D7733eBXwe+DPxSinZ8taHbb7+dZcuWAdDe3k5v\nb69r9nUuur6+Plsx22NvFVs+9MQTRACWLbMtcYnLR57ex+HRc8Cq2OwzD/PY/edZfsstSe2r04HO\nTiKWBf39XGxpgZUr065fq9P9/f1a9Uemk6f7+/u16o9MJ0876NIfmU6cdtClPzIt09U4LeMFvadF\nPvpN9/f3MzQ0BMDAwADpKFW+/GGgVdnHEDH3yg/Z8z5t//0J8HHgUc/2VraWrpMnYdGi2O+eHrjz\nmUE+c+wYEeDPly7lzes6OHcutvz0aejuhi9u2MM/H+7lqen22IIf3M+JV+5gYTicdl+/8swzTESj\n3HvpErd2dvKjwUEs+8QLgiAIgiAIgiAUC7v2ta++ZpZon4eBm+zfNwMH7d/fB94MhIDlwGpiWSzz\nJl2xb2+dOMuCqGUx9yycmrZj4sIRaIxkl9iEGqjJIAiCIAiCIAhCVVMqneRdxDJS9gOftKcB9gPf\ntP/+GHgPBWbr95YYcH/7zAMYn5ih7TJcJBSbMWcSDLJKbCIlBmI45l9BX0RG+iMy0huRj/6IjPRH\nZKQ3Ip/qplQlBp4AdqZY9in7X9Hx1onzS2xy5fgEF5tNopdt/XXxOEDWiU3c8gUF91YQBEEQBEEQ\nBCF3qt470NedktSWuJGj45wPhuIzFo8B2StxzgkrVTBhNdAncYDaIzLSH5GR3oh89EdkpD8iI70R\n+VQ3Va/EqXgtcV4sCy48P8m5Sy3xmdsuAdkpcSaIO6UgCIIgCIIgCBWl6pW4VJa42DIryRJ3x/8b\n5Fw0ltSkadU44V2xNJ5ZJTZR3SmlTpygMSIj/REZ6Y3IR39ERvojMtIbkU91U7VKXMSy+NiRIwnz\n/BKbqIyPQ8fTYc4RU+K633qG5mDsFOSa2GRLczMLQ6EMWwiCIAiCIAiCIBSXqlXiDo+P88mjR5Ms\ncV4Lmaqb/fznMH96irOEYf4EdTefpykQs8FlFRNH/IQtr6/nxHXXFXAE1Yv4UOuPyEh/REZ6I/LR\nH5GR/oiM9EbkU91UrRI3MDEBQDQaV9ocPSxVBsm777aYxyTnCEPfOa4wQ4Np2tvmlp0ym/UFQRAE\nQRAEQRCKTdUqcUfGY6UBZqxEJc5yfxvuPIe9e2EeE5ynHq66zHAkQr2Z/SlIqBMnMXGCxoiM9Edk\npDciH/0RGemPyEhvRD7VTdUqcSORCADT0WRlykiRQfLUQJQQUYYJwuoRruSjxOXdY0EQBEEQBEEQ\nhMKpWp0kYv/1WuLc3z7zOpjiEiGoj7JoYWxeQyCbvJQxAogbJYgPdTUgMtIfkZHeiHz0R2SkPyIj\nvRH5VDfVq8RFo7zyHrjy0YO8itMYtt0tnZNjJ9NcIkRwwST/snYNEEtQ8sPNm7Pap6lY4mavM6Ug\nCIIgCIIgCJWkKpU4K2qx8gPneeO3wVrTyGs5xR9z0DexSbIlro7AgglCthtl2DS5tasrq/2qMXGz\nGfGh1h+Rkf6IjPRG5KM/IiP9ERnpjcinutFeiYtYFg9fvpww7+Q/nqTh8DR/+DmI/uYC/ohermKI\nraPn44lNfNrqYIpB2xIXtpWxcA5KWSBFu4IgCIIgCIIgCOVCeyXuhxcvct2TT7rTk2cmGfjLAZ77\nmzlM1sNMNMoEAT7Pan5t8AhYVtwSZ1kJlrhOOybOXDBJWLHEZYskNokhPtT6IzLSH5GR3oh89Edk\npD8iI70R+VQ32uskEU8q/xN/e4L5b5nPleVBAKbs7JRP0MEMYN43AqRPbBLonshfiRN3SkEQBEEQ\nBEEQKoj2SlxQUZoioxFO/+tpFv/JYle5i5cYMPh+4xyC/zGU0uWxw05s8oXrlxBy3ClzVOJSFRKf\nTYgPtf6IjPRHZKQ3Ih/9ERnpj8hIb0Q+1Y32SlxAUeLO/8d5Wq9tpX5JfVyJUyx1DzZ0ELj3CkYk\nnqnSa4kbpI5rlzXGLXE5xsSJJU4QBEEQBEEQhEpSVUrc2bvO0n17NxCvD6cW+z4TDGN1Bel+LuJb\nz62NaS5Tx9y5uEW+JSYud8SHWn9ERvojMtIbkY/+iIz0R2SkNyKf6kZ7ncRRxSYGpxh+dJiuW2Pl\nAPyKfWPAxLWNLHxyGki2xDUzw2jIpKkJ5tTVAYnumpkwFXdKQRAEQRAEQRCESqC9Eue4S5770UXa\nb2on0BRgagru/cg8ePMuvvGFcML6n+u+BHvHfVqyaGWasY7YVJ1tgbs8M5N1X8SdMob4UOuPyEh/\nREZ6I/LRH5GR/oiM9EbkU93or8RFowAM/nSQztd0AvCpT8EL326Ds/X84M5EJe759bDuheTslGGi\nWBhYnYkpSS5MT2fdF9WdcjYnNhEEQRAEQRAEoXLor8RZFlgwct9lOl7egWXBl7+cev0Ti6BpFBov\nRhMUrRZmuEKQUEei5W15Q0PWfekJh+kJhzOvWOOID7X+iIz0R2SkNyIf/REZ6Y/ISG9EPtVNsNId\nyMSMZdF9BqJTFg1rGjh0CI4fT7GyYYEBR5dC10AEropb4lqYjilxnXElLnLTTTm5R75p3jwAPnrk\niMTGCYIgCIIgCIJQEarCErflKRjf1cCxyUn27k2zsq1ZHV8MHUcjCYtamWGYOsId8fmFxLfNZndK\n8aHWH5GR/oiM9Ebkoz8iI/0RGemNyKe6KZUStwV4GHga+D7Qoiz7MHAIeAG4JVND05bFmoPwpZ5h\ntjz+OM8+m3nnJxZB50AUy7JcS1wz04wQJNyZfSKTdGxqaipKO4IgCIIgCIIgCLlQKiXuX4E/Ba4C\nvgv8iT1/A/Am+++rgC9k6sN0NMraA3BwDVyORHjuufiy4HUXfbc5vhg6U1ji6jsivtvkgtXXx03t\n7QW3U62ID7X+iIz0R2SkNyIf/REZ6Y/ISG9EPtVNqZS41cD99u97gTfYv18LfA2YBgaAw8COdA1N\nT0dZ8RIcWm03tm/SXdb9m+cSVx6NhfgdXwwdA5GEOnFOTFxDZ+FKnCAIgiAIgiAIQqUolRL3HDGF\nDeDXgcX27x7ghLLeCWBh2pb2T3K+McDYk3NgPMDoiRAARsBi6fZJgvXR+LpTscP5zasX0no6Coo7\npZOdUpS4whEfav0RGemPyEhvRD76IzLSH5GR3oh8qptCslPeA3T7zP8I8HbgH4CPEYuJm0rTjm+O\nkNtvv52lS5fxnS8Os3CwDj72ati0FSwD2EN4zhQLWhay7h0XePaf9sc2WnMVADedP86TxtOsH15v\nt7aHIY4T4WYaO6fci9YxI8t0btP9/f1a9Uemk6f7+/u16o9MJ0876NIfmU6cdtClPzIt09U4LeMF\nvadFPvpN9/f3MzQ0BMDAwADpKEem/DXAXcBO4EP2vE/bf38CfBx41LONZVkWDz8Md1w3QB1RvsSK\nhBXmv/wyb7zjLHefH+LQXV1wtBHefByWjhG96Sa+u+J+Qv++gj955yJeeAE+zPPspYOWR4f49o51\nJTxcQRAEQRAEQRCEwjBiLoW++ppZon3OVdr/M+CL9vT3gTcDIWA5sdi5x1I18p3vwFJGOUpj0rKz\nPUNc1dzMoemxmPL2wQOwdIyQYWAYBiNzTYwzM4yNxdavJ8IEAYJN0aS2BEEQBEEQBEEQqoVSKXFv\nAQ4AzxOLe7vTnr8f+Kb998fAe0hTcu3hh2EpYxzDJ53/0lGW1tezvbk5YXbYjB3S6DwT4+w058/H\n5jcQYZwA80N1BRyWAMnuRoJ+iIz0R2SkNyIf/REZ6Y/ISG9EPtVNITFx6fgH+58fn7L/pSUSgSf3\nWnyMcY7RkLzC0jECQNBTsNtV4ubELHHj47H5DUSYCpq8f9Gi7I9CEARBEARBEARBM0pliSuYY8eg\nYWKKUQLMdFrwqtPxhfURWDZGwDAIKEpcg2lSbytxI/NMzLPxwt4NRGjsCLC8wUchFHLCCcAU9EVk\npD8iI70R+eiPyEh/REZ6I/KpbrRV4g4cgG4mOEs9Tcsm4K1HYY5dI+73DkMoSsAwEixxjaZJ2J6O\nWeKm3WX1RGiaEyjrMQiCIAiCIAiCIBQbbZW4F1+MKXFnqKdl6TR0T8C/PQ5fexh+NWaVS7LEBQKu\nO+X4HBPzfKIlrlmUuKIgPtT6IzLSH5GR3oh89EdkpD8iI70R+VQ3pYqJK5hTp2C+o8QtsC1qzTOx\nfzbemLhG03SVuIlWA2MoXti7niit80WJEwRBEARBEAShutHWEnfqVNwS1zbPvyyAX0ycq8S1qUqc\nRT0R2kSJKwriQ60/IiP9ERnpjchHf0RG/7+9e4+Sq6zzNf5U9SU3mnRiIrcA4SoMJKQTIYmARB0w\ncEYuAwrIUkGWyMqgAuGAw5k1oMujqBEOwYXKwDCgozI4gONBEJCEIMlwTUFM4JAozSUggUhDLqSv\ndf54d3VXd1d3V6eqk7e6n89atbreXbt27epvV1f96n3fveNnRnEzn8oWbRH3xhtdc+Im7N73ud3y\ny7KxVVWdc+Jaxld1FnGj6KCVNJN32xHnNpckSZKkoRNtEff66zCZZjYwig/0UcS1ZrPdhlPmH52y\ndQzQBjW0Jyf6TjNp0o7Y8+HPMdTxM6P4mVHczCd+ZhQ/M4qb+VS2qIu4CbTwV2qZvEc4H3jPwZAt\nHR3dhlOOzTuwSSqVIltfxQVntYUTfaeqOOecHbX3kiRJkjQ0oj2wSdPGDsbRznupaiZPBl6GdCpF\nezbbuU5LgZ64fNld01y1sI09D9wK/9bGrrvuqL0f3hxDHT8zip8Zxc184mdG8TOjuJlPZYu2J24C\nrbxLDdkPtLJLTdjNnju77+jRfR7YpDaVon1cmlHZduYc20x7/Y7ac0mSJEkaOhEXcS28Qw1MaGFc\nVRhImV+wPTlzJh8aO7azJ646OfF37sAm+44ezftjoX1TO+1b2mkd40FNysUx1PEzo/iZUdzMJ35m\nFD8zipv5VLZoh1OGIq4Wxrd2FnHpvCKuJulxyxV2tcnpBmqS9v5jxrBpTDYUcZs7aBtrESdJkiSp\n8kXeE1cL49oYm+49nLI2rwcOoDadDj1xybp7jxrFu6OztG9up2NrO232xJWNY6jjZ0bxM6O4mU/8\nzCh+ZhQ386lsERdxrfyVWqhr6zxtQP5wylyPW+6IlbmeuNy6o9Jpto2Ftk1tdGxup92eOEmSJEnD\nQLRF3MTk9ALHTdmFutxwyrzba3sOp+zRE1cFNCdz4jq2ddA+2iKuXBxDHT8zip8Zxc184mdG8TOj\nuJlPZYu2iBtPK+9Rw5F7juks1PJ74noNp0wOatI59DKVYtvYFO2b28k2Z8nWWsRJkiRJqnzRHthk\nHG1sppr68dnOA5r0e2CTdJrL9t67s6irSqXYNoYwJ66mA2os4srFMdTxM6P4mVHczCd+ZhQ/M4qb\n+VS2aIu4XWhjM1XUT+jqLuzrwCb7jR7Nlfvsw6Ta2s7bq4DmUdCxqYNsRxZGRdvpKEmSJElFi7ay\nGUcbW6hmfH1Xb1t+T1z+nLj66mo+t/vu3e5flUrRUgsd73eQbelwOGUZOYY6fmYUPzOKm/nEz4zi\nZ0ZxM5/KFnER184WqplQ37WTVXm31+T1xNWkehdo6VSK1lro2NYBzVkYZREnSZIkqfJFO5wy1xM3\nYULhOXHpvFMM5Hrl8lUBzUkRl612Tlw5OYayNMlTAAAfYklEQVQ6fmYUPzOKm/nEz4ziZ0ZxM5/K\nFnFPXBtbqOrWE1doZ6tSqc75cT2XN9ckPXEtWVLOiZMkSZI0DERb2bSQpp00EyakOufE1VX37jjs\nazhlVSpFy6i84ZTOiSsbx1DHz4ziZ0ZxM5/4mVH8zChu5lPZSiniPg2sBtqBmT1u+0dgLfACcELe\n8lnAquS26/vb+BaqYXQ7Y0alOodOXrP//iw54ohu61WlUgWHU6aB5tosHe93QEsHKefESZIkSRoG\nSiniVgGnAct6LP8b4Mzk53zgRiBXQf0IOB84KLnM72vjW6gmVddGOm8nx1dVMW/CBLJ5Y3j764nb\nlj+csjbaTseK4xjq+JlR/MwobuYTPzOKnxnFzXwqWymVzQvAiwWWnwL8AmgFGoF1wGxgD6AOeCJZ\n73bg1L42voUq2KWNdCpV8BQDOX31xFWlUuE8cds6SLVk7YmTJEmSNCwMRffUnsBree3XgL0KLF+f\nLC9oC9Uwro0q+j+wSXU/BzbJ9cSlmj2wSTk5hjp+ZhQ/M4qb+cTPjOJnRnEzn8o20CkGHgR2L7D8\nSuA35d+dLv/OP5Nt+hD/+5tjqN5lF6ipIT1rFtD1Rzdv3jxqUinefvJJlr75Zme38NKlS9nQ0kJL\nzTja329n9caV/PXF8cAhve5ve/DtTCYT1f7Y7t3OZDJR7Y/t3u2cWPbHdvd2Tiz7Y9t2Jbb9vBB3\n23zia2cyGZqamgBobGykP+UYY7gEWAg8k7S/nvy8Jvl5P3AV8HKy7qHJ8rOB44ALC2wzexnPs+j4\netp+txtvtbSwx4oVrJw1ixl1dd1WfKe1lffa29l39Ohuy19vbuajS57i1rM62Lh3mje/80G+/HcH\nlfhUJUmSJGnopcJow4L1Wrpcj5F3/b+As4BaYD/CAUyeAP4CvEeYH5cCPgfc09cGt1Id5sRBv3Pi\nJtTU9CrgIDecMku2OQstWdIe2ESSJEnSMFBKZXMa8CowB7gXuC9Zvgb4j+TnfcACIJvctgC4mXCK\ngXWEXrqCmknD+FZSqa5TDAym27AKaE1nybZnSbVDutoDm5RLrvtX8TKj+JlR3MwnfmYUPzOKm/lU\ntoHmxPXn7uRSyLeTS09PA9OK2fg2qmB8M5B3YJMCPXF9qUqlaK2CbFuWVHuWqmp74iRJkiRVvmgr\nmxbSUN8K5A2nHMT906kUbUnNl2qDqip74solNwFT8TKj+JlR3MwnfmYUPzOKm/lUtmiLuG15Rdx2\n9cQB7dksqaoU6ZYs1Q6nlCRJkjQMRFvEtVAF45Mibjt64qpSqVDEVadIt2apqor2qVYcx1DHz4zi\nZ0ZxM5/4mVH8zChu5lPZoq1swoFNWoDtnxPXAaSqU1S1YE+cJEmSpGEh1somO4e3+O+HVpP9xHG0\ndnRQu2wZf549m/3GjClqA20dHYxatoxHTqtm25Y2tjxzMKccvucQ77YkSZIklW5HnCeu7FrGZqEq\nnJkg3c954vqS3xNX3QrVDqeUJEmSNAxEW9ls26Wj83puJwfTbZhKpcL6yTDKKodTlo1jqONnRvEz\no7iZT/zMKH5mFDfzqWzRFnHNdV1FXGo7TvYNoTculZwJr9rzxEmSJEkaBmLtnsrufexLvPrNRrLJ\nOSxSS5fyypw57D16dNEbGfXIIyw9t5bmxmZ4+XDm7TNpiHZXkiRJksqnIufEtU19v+RtVKVSUJUb\nThntU5UkSZKkokVb2bQesLXXsuwgt1GVSnXOifMUA+XjGOr4mVH8zChu5hM/M4qfGcXNfCpbtEVc\nugxF3Ob2dramwtw658RJkiRJGg5i7Z7K7nHvI7wxtqPbnLjGOXPYdxBz4lJLl/IfX65i8ovtjH93\nJg277jpEuytJkiRJ5VORc+Kqanrv2i5VVYPeTks29N/VpKN9qpIkSZJUtGgrm3Rt96IzO28eH6ip\nGfR2WkiGUw7iROHqn2Oo42dG8TOjuJlP/MwofmYUN/OpbNEWcdW15dm11tz2LOIkSZIkDQOxVjbZ\nQx9/nOe3bu2cE7c9UkuX8pML4OC1MHXrbKaOGVO+PZQkSZKkIVKRc+JGl2kOWzZ52vbESZIkSRoO\noi3iRpWpiEsntZsHNikfx1DHz4ziZ0ZxM5/4mVH8zChu5lPZoq1sdq+tLXkb7ccdx/jqasCeOEmS\nJEnDQ6yVTfZXGzYwu66OKYM4L1whv5r+GJNWtdLQekxnQSdJkiRJMavIOXE1qVTJBRzQ+bTtiZMk\nSZI0HERbxFWVqehKWcSVnWOo42dG8TOjuJlP/MwofmYUN/OpbKUUcZ8GVgPtwMy85ROBJcAm4IYe\n95kFrALWAtf3t/GqEnYsX9INaREnSZIkaVgopbI5BOgAfgIsBJ5Jlo8FGoDDk8tX8u7zBHBR8vO3\nwGLg/gLbzj6wcSPHT5xYwu4Fdx25nIlPtXBcx3GdBZ0kSZIkxWyo5sS9ALxYYPlW4DGgucfyPYA6\nQgEHcDtwal8bL9dwyvYx4SlawEmSJEkaDoZyTly2R3sv4LW89vpkWUHlGv7YMdbirdwcQx0/M4qf\nGcXNfOJnRvEzo7iZT2Ub6Jj7DwK7F1h+JfCb8u9Ol+8sWMDDBx8MQH19PTNmzGDevHlA1x9dMe32\nMSkyZGBpcevbHridyWSi2h/bvduZTCaq/bHdu50Ty/7Y7t7OiWV/bNuuxLafF+Jum0987UwmQ1NT\nEwCNjY30pxzdVEvoPicu5wvAh+maE7cH8DBwaNI+GzgOuLDANrMrmpqYM358yTv3s3OeYsrPNzMv\nO6/kbUmSJEnSjrAjzhNXaOM9l70BvAfMTm77HHBPXxss15y4jrHleoqSJEmStPOVUuGcBrwKzAHu\nBe7Lu60R+AFwbrLOIcnyBcDNhFMMrKPwkSmBMhZxY5wTV2657l/Fy4ziZ0ZxM5/4mVH8zChu5lPZ\nBpoT15+7k0shU/tY/jQwrZiNl+vAJlsPri3LdiRJkiQpBrF2U2X/uHkzh40bV/KGvtnYyLdebKTl\nhHml75UkSZIk7QA7Yk5c2Y1Jl2fXUkCrnXGSJEmSholoi7ipo0eXZTuxdjVWMsdQx8+M4mdGcTOf\n+JlR/MwobuZT2aIt4tJlmhNXru1IkiRJUgxirXCy2Wy2LBv6zssvc+VLL5FNTqQnSZIkSbGryDlx\n5WJPnCRJkqThZNgXcVNGjdrZuzDsOIY6fmYUPzOKm/nEz4ziZ0ZxM5/KVsp54irCZz/4QU6aOHFn\n74YkSZIklUWsYw3LNidOkiRJkirNiJ4TJ0mSJEnDiUWcBs0x1PEzo/iZUdzMJ35mFD8zipv5VDaL\nOEmSJEmqIM6JkyRJkqTIOCdOkiRJkoYJizgNmmOo42dG8TOjuJlP/MwofmYUN/OpbBZxkiRJklRB\nnBMnSZIkSZFxTpwkSZIkDRMWcRo0x1DHz4ziZ0ZxM5/4mVH8zChu5lPZLOIkSZIkqYI4J06SJEmS\nIuOcOEmSJEkaJiziNGiOoY6fGcXPjOJmPvEzo/iZUdzMp7KVUsR9GlgNtAOz8pYfDzwFPJf8/Fje\nbbOAVcBa4PoSHluSJEmSRqRS5sQdAnQAPwEWAs8ky2cAf0kuhwG/A6Yktz0BXJT8/C2wGLi/wLad\nEydJkiRpxBqqOXEvAC8WWJ4hFHAAa4AxQA2wB1BHKOAAbgdOLeHxJUmSJGnEGeo5cacDTwOtwF7A\na3m3rU+WqcI4hjp+ZhQ/M4qb+cTPjOJnRnEzn8pWPcDtDwK7F1h+JfCbAe57GHANYY7coJ177rlM\nnToVgPr6embMmMG8efOArj862zunnclkotof273bmUwmqv2x3budE8v+2O7ezollf2zbrsS2nxfi\nbptPfO1MJkNTUxMAjY2N9Kcc54lbQvc5cRDmwP0eOBdYkSzbA3gYODRpnw0cB1xYYJvOiZMkSZI0\nYu2I88Tlb7weuBe4gq4CDuAN4D1gdrL+54B7yvT4kiRJkjQilFLEnQa8CswhFG33JcsvAg4ArgJW\nJpdJyW0LgJsJpxhYR+EjUypyue5fxcuM4mdGcTOf+JlR/MwobuZT2QaaE9efu5NLT99KLoU8DUwr\n4TElSZIkaUQrx5y4oeCcOEmSJEkj1o6YEydJkiRJ2gEs4jRojqGOnxnFz4ziZj7xM6P4mVHczKey\nWcRJkiRJUgVxTpwkSZIkRcY5cZIkSZI0TFjEadAcQx0/M4qfGcXNfOJnRvEzo7iZT2WziJMkSZKk\nCuKcOEmSJEmKjHPiJEmSJGmYsIjToDmGOn5mFD8zipv5xM+M4mdGcTOfymYRJ0mSJEkVxDlxkiRJ\nkhQZ58RJkiRJ0jBhEadBcwx1/MwofmYUN/OJnxnFz4ziZj6VzSJOkiRJkiqIc+IkSZIkKTLOiZMk\nSZKkYcIiToPmGOr4mVH8zChu5hM/M4qfGcXNfCqbRZwkSZIkVRDnxEmSJElSZJwTJ0mSJEnDhEWc\nBs0x1PEzo/iZUdzMJ35mFD8zipv5VLZSirhPA6uBdmBm3vKjgJXJ5TngzLzbZgGrgLXA9SU8tiRJ\nkiSNSKXMiTsE6AB+AiwEnkmWjwGak9t2B/4I7EYo9p4ALkp+/hZYDNxfYNvOiZMkSZI0Yg3VnLgX\ngBcLLH+fUMBBKOjeJRRwewB1hAIO4Hbg1BIeX5IkSZJGnKGaE3cUYajlauDSZNlewGt566xPlqnC\nOIY6fmYUPzOKm/nEz4ziZ0ZxM5/KVj3A7Q8ShkT2dCXwm37u9wRwGGHI5f3A0sHu2LnnnsvUqVMB\nqK+vZ8aMGcybNw/o+qOzvXPamUwmqv2x3budyWSi2h/bvds5seyP7e7tnFj2x7btSmz7eSHutvnE\n185kMjQ1NQHQ2NhIf8pxnrgldJ8T19PvgcsJPW9LgEOT5WcDxwEXFriPc+IkSZIkjVg74jxx+Ruf\nSlcP377AQYSjUf4FeA+Ynaz/OeCeMj2+JEmSJI0IpRRxpwGvAnOAe4H7kuXHAhnCKQbuBC4gFG8A\nC4CbCUXdOgofmVKRy3X/Kl5mFD8zipv5xM+M4mdGcTOfyjbQnLj+3J1cevppcinkaWBaCY8pSZIk\nSSNaOebEDQXnxEmSJEkasXbEnDhJkiRJ0g5gEadBcwx1/MwofmYUN/OJnxnFz4zitjPySafTXHbZ\nZZ3tRYsW8Y1vfAOAq6++milTptDQ0MChhx7KggULyGazXHLJJVx//fWd9/nkJz/Jl770pc72woUL\nue6660rarx//+MdMnz6dhoYG5s6dy7PPPttrnU2bNtHQ0NB5mTx5MpdccsmgHuell15i9uzZHHTQ\nQZx11lm0trZ2u/3JJ5+kurqau+66a8BtWcRJkiRJGnK1tbXcfffdbNy4EegcLth5/dJLL2XlypWs\nWbOGVatW8cgjj3DMMcewfPlyADo6Oti4cSNr1qzpvN+KFSs4+uijS9qvc845h+eee46VK1dy5ZVX\nsnDhwl7r1NXVsXLlys7Lvvvuy+mnnz6ox7niiitYuHAha9euZcKECdxyyy2dt7W3t3PFFVcwf/58\niplWZhGnQcudlFDxMqP4mVHczCd+ZhQ/M4rbzsinpqaGCy64oM+es1zxsm3bNrZt28bEiROZO3cu\nK1asAGD16tUcfvjh1NXV0dTURHNzM88//zwzZ84sab/q6uo6r2/evJlJkyb1u/6LL77Ihg0bOOaY\nYwB46623OOOMMzjqqKM46qijOovOns9tyZIlnHHGGQB84Qtf4J57us62dsMNN3DGGWcwefLkova5\nlKNTSpIkSVLRFixYwPTp07n88su7Lc9ms1x33XX87Gc/4+WXX+akk05i+vTpAFRXV/Pqq6+yYsUK\n5s6dy/r161mxYgW77ror06ZNo7q6d0nz0Y9+lE2bNvVa/oMf/ICPf/zjvZbfeOONXHvttWzZsqVg\nEZbvl7/8JWeddVZn+2tf+xqXXHIJRx99NK+88grz58/v1lsIsHHjRurr60mnQx/aXnvtxfr16wFY\nv349v/71r3n44Yd58sknu/VQ9sWeOA2aY9zjZ0bxM6O4mU/8zCh+ZhS3nZVPXV0dn//851m8eHG3\n5fnDKTds2MDmzZu54447APjIRz7C8uXLWb58OXPnzmXu3LksX76cFStWdPaG9bRs2bJuwx9zl0IF\nHITict26dVx77bV88Ytf7Pc53HHHHZx99tmd7YceeoiLLrqIhoYGTjnlFDZt2sTWrVuL/p1cfPHF\nXHPNNaRSKbLZbFHDKe2JkyRJkrTDXHzxxcycOZPzzjuv2/Jc8VJdXc38+fNZtmwZZ555JkcffTSP\nPfYYq1atYtq0aey9994sWrSI8ePH91lwHXvssWzevLnX8kWLFvGJT3yiz30788wzufDCC/u8/dln\nn6WtrY2GhoZu+/34449TW1vbbd358+fz5ptvcuSRR3LTTTfR1NRER0cH6XSa1157jSlTpgDw9NNP\nd/bsvf3229x3333U1NT0uQ9gEaft4Bj3+JlR/MwobuYTPzOKnxnFbWfmM2HCBD7zmc9wyy23cP75\n5wN0633KZrP84Q9/YNasWUDoifv+97/PgQceSCqVYsKECTQ1NbFmzRpuvvnmgo/x6KOPFr0/69at\n48ADDwTg3nvv7RzGWcgvfvELPvvZz3ZbdsIJJ7B48eLOI29mMhlmzJjB/fff3229j33sY9x5552c\neeaZ3HbbbZxyyikA/PnPf+5c57zzzuNTn/oUJ598cr/77HBKSZIkSUMuf67XwoULefvtt7vddt11\n19HQ0MC0adPIZrMsWLAAgMMPP5yNGzcyZ86czvWnT59OfX09EydOLHm/fvjDH3L44YfT0NDADTfc\nwK233tp5W36PG8Cdd97ZbSglwOLFi3nqqac44ogjOOyww7jpppsKPs53v/tdrr32Wg466CDeeeed\nzgJ2eww8a27nyBYzFlQ7x9KlS/12LXJmFD8zipv5xM+M4mdGcTOf+CVFb8F6zZ44SZIkSaog9sRJ\nkiRJUmTsiZMkSZKkYcIiToPmeV/iZ0bxM6O4mU/8zCh+ZhQ386lsFnGSJEmSVEGcEydJkiRJkXFO\nnCRJkiQNExZxGjTHUMfPjOJnRnEzn/iZUfzMKG7mU9ks4iRJkiSpgjgnTpIkSZIi45w4SZIkSRom\nLOI0aI6hjp8Zxc+M4mY+8TOj+JlR3MynspVSxH0aWA20AzML3L4PsBlYmLdsFrAKWAtcX8JjayfK\nZDI7exc0ADOKnxnFzXziZ0bxM6O4mU9lK6WIWwWcBizr4/ZrgXt7LPsRcD5wUHKZX8Ljaydpamra\n2bugAZhR/MwobuYTPzOKnxnFzXwqWylF3AvAi33cdirwZ2BN3rI9gDrgiaR9e7KeJEmSJKlIQzEn\nbhfgcuDqHsv3Al7La69PlqnCNDY27uxd0ADMKH5mFDfziZ8Zxc+M4mY+lW2gUww8COxeYPmVwG+S\n60sI896eSdqLgMeBOwmF3CbgB8CHge8AxyfrHUso9j5VYPvrgAOKeQKSJEmSNAw9C8wodEP1AHc8\nfoDbCzkKOB34HlAPdADvA3cBU/LWm0LojSvkwO14XEmSJElSEZYQjjpZyFXApXntx4HZhB7A3+KB\nTSRJkiRpUEqZE3ca8Cowh3AUyvuKuM8C4GbCKQbWAfeX8PiSJEmSJEmSJEnSyDOfcAqCtcAVfayz\nOLn9WaChiPtOJBxo5UXgAcJ8u5x/TNZ/ATih9N0fEUrJqB74FfA84TQSs5Pl30+WPUuYAzk+WT6V\nMC9yZXK5sUzPYTgbKJ9DgBXANsKBhXL2JgxxXg38Efhq3m1XE44Qm8vhxLzbfA0N3vZmBOH3vZpw\nvs2fA6OS5b+kK5+Xkp/ga2h7DJTPOYT/Vc8BjwHT825rTJavpOu0OOD7ULkNlNEphIxWAk8DH8+7\n7V+BNwmvoXy+D5XX9mb0Ibp+1yuBd+l6P7oa34vKpZjPcgBHAm2EY1YAjCZMccoQPsd9J29d34dG\nsCrCUMmpQA3hD+TQHuucRJgTB6EA+O8i7vs9wtEsIfyhXpNc/5tkvZrkfusYmlMnDCelZARwG/DF\n5Ho1XW+Sx9P1u7+Groym0vuNVn0rJp/JhCO+fovuBcLudB3FaBfg/xGKCeg9RzXH19DglZLRVMJ5\nNHOF2x3AFwo8xiLgn/Lu42uoeMXkM5eu/13z6f4/7iVCwdaT70PlU0xG4/KuT0vWzzmW8OViz9eF\n70PlU2pGOWngDcKXjOB7UbkUk09uvYeB/0tXEQcwNvlZTfj/d0yB+/o+FLGheHEcRfijagRaCRX9\nKT3WOZlQCED4JqCe8OGzv/vm3+c2uk4Ufgrwi2T9xuT+R5Xt2QxP25vRboQPPccSvgWF8M3Ou8n1\nBwlHI83dJ/9opCpeMfm8BTyV3J7vL4R/5ACbCd9I55+PsdBpRXwNDV4pGb2XLBtLePMcS+8j9aaA\nzxBy0eAVk88Kuv53Ffp/Vei14vtQ+RST0Za867sAb+e1HwXeKbBd34fKp9SMcv4W+BPhOAo5vheV\nrph8AL5CGD31Vo/lW5OftYRC7689bvd9KHJDUcTtRfcX6mv0Pql3X+vs2c99dyMMnSD5uVtyfU+6\nn0S80OOpu+3NaAqwH+Efwa2EcwP+C13f5uT7Il09eST3WwkspfC3PepSTD7FmEr4pvrxvGVfIQx9\nuYWuoWC+hgavlIz+Sjh35ivA60AT8FCPdY4l/J/7U94yX0PFG2w+59P9/1WWkMlTwJfylvs+VD7F\nZnQq4cuo++g+PLwYvg+VplwZnUUYNp7P96LSFftZ7hTgR0k7m3dbmvCl75uEaRhretzX96HIDUUR\nlx14FWDgE43n1im0vewAj1PsPoxU25tRltBzMJMwFnom4Vu4r/dY738BLXT9036dMIyigTCE4udA\n3aD3euQox9/vLoRv3r5G6JGD8E98P8JwyzcIhcRQ7sNwVsrv5wDgYkKRvSchq3N6rHM23T/0+Boa\nnMHk8zHCh/38+SRHE37XJwL/QPgwU+gxfB/afsX+fu4hDBH7FPDTQWzf96HSlSOj2mT5nXnLfC8q\nj2J+N/+H8BktS/hMl/+5roOQwRTgo8C8Hvf1fShyQ1HEradr3DPJ9dcGWGdKsk6h5blhRm8ShlwC\n7AFs6GdbfZ1EXMH2ZrQ+We814Mlk+a8IxVzOuYT5dPkfSlvoGvbyDOFbnYO2e++Hv2Ly6U8N8J/A\nzwhvrjkb6PrgeTNdw1R8DQ1eKRl9GFgObCQMR74L+Eje7dWEU7jckbfM19DgFJvPdMJogpPpPjTv\njeTnW8DdhIMCgO9D5TTY19CjhNfGB4rY9rn4PlQO5cjoRMIBT/KH8vleVB7F5DOLMMzyJcJ8uBsJ\n/+/yvUs4VdiH85b5PjRCVROCnUr4Bmagg2bMoWtCeX/3/R5d35R+nd4TymsJ3+z8ieJ6+UayUjIC\nWAYcnFy/Gvhucn0+4Yh7k3psaxJhvDXA/oR/MvWoL8Xkk3M13Q+akQJuB64rsO4eedcvoesbNl9D\ng1dKRkcQjhw6hvB7vo3Q25MznzC0JZ+vocEpJp99CPNJ5vRYPpaub5fHEY5cmTtKnu9D5VNMRgfQ\n9XucSfdhXVD4QAu+D5VPOTL6Jb0P3OR7UXkM5n0IwjSYv0+uT6Lr738M4XPdJ/LW9X1oBDuRcFS8\ndYTDxQJ8Obnk/DC5/Vm69+QUui+EI4U9ROFDO1+ZrP8C8MlyPYlhrpSMjiD0xPU8hPNa4GV6H372\ndMKH1twhiP9HeZ/KsDRQPrsTxsK/S/hm7BXCsLxjCEMkMnTlMD+5z+2Ew6Y/S+ihy83nAV9D22N7\nM4JwhMPcKQZuI/Se5twKXNDjsf4eX0ODNVA+NxN6Q3Ovk9ypBPYnvH4yhN+570NDZ6CMLqfr7/5R\nunpEIRxs4XWgmfA6Oy9Z7vtQeZWS0TjCgU56Drnzvah8ivksl5NfxE0j9KZlCFn8zwLr+j4kSZIk\nSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSdLI9FVgDfDTnb0jkiRJkqSBPQ/s2WNZ\n9c7YEUmSJElS/34MNAPPAU3A7cAfgH8HJgG/Ap5ILh9J7vMB4AHgj8C/AI3ARGAqsCpv25cBVyXX\nDwDuA54ClgEfSpb/G3A98BjwJ+D0vPtfkexXBvg2sD/wdN7tB/VoS5IkSdKI8BKhCLsKeBIYlSz/\nOXB0cn0fwpBLgMXAPyXXTwI6KFzELQT+Obn+e+DA5PrspA2hiLsjuX4osDa5fiKhsBudtOuTnw8D\nRyTXvw38Q5HPUZKkghx6IkmqVKnk538ReuYA/pZQWOXUAeOAY4HTkmW/Bd4ZYLvjCL14d+Ytr01+\nZoF7kuvPA7vlPfa/AtuSdlPy82bgPOBS4DPAkf0/LUmS+mcRJ0mqdFvzrqcIvWYtBdZLFVjWBqTz\n2mMIRVqaUOg19PGY+dvPbTfbx2P8J6HH8GHC0Mz+CkhJkgaUHngVSZIqxgOEI1fm5IYxLgM+m1w/\nEZiQXH8T+CBhaOUo4O+S5ZsIQzbPSNopYPoAj/0gocdtTNLOPUYz8DvgR8CtxT8VSZIKs4iTJFWi\nbB/Xvwp8GHgWWA18OVn+DeCjhAObnAa8kixvBb5JOAjKA3TNoQM4BzifcJCSPwInD/D4vyMM7XwK\nWEmYX5fzc8I8vAeKfH6SJEmSpDy5A6PsKJcRCklJkkrmnDhJ0kiUHXiVsrkb2A/4+A58TEmSJEmS\nJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSNCz9f4EueVrbr9VgAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Signal to Noise Ratio" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we have a two level quantizer, we run the prediction routine `predictSNR`, which employs the describing function method of Ardalan and Paulos.\n", "\n", "Otherwise, we skip the prediction step and we move directly to time simulation of the NTF, to evaluate the SNR." ] }, { "cell_type": "code", "collapsed": false, "input": [ "if nlev == 2:\n", " snr_pred, amp_pred, k0, k1, se = predictSNR(ntf0, osr)\n", "snr, amp = simulateSNR(ntf0, osr, None, f0, nlev)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=plotsize)\n", "if nlev == 2:\n", " plot(amp_pred, snr_pred, '-', label='Predicted')\n", " hold(True)\n", "plot(amp, snr,'o-.g', label='simulated')\n", "#figureMagic(np.array([- 100,0]).reshape(1,-1),10,2,np.array([0,100]).reshape(1,-1),10,2,np.array([7,3]).reshape(1,-1),'Discrete-Time Simulation')\n", "xlabel('Input Level (dBFS)')\n", "ylabel('SQNR (dB)')\n", "peak_snr, peak_amp = peakSNR(snr, amp)\n", "msg = 'peak SQNR = %4.1fdB \\n@ amp = %4.1fdB ' % (peak_snr, peak_amp)\n", "text(peak_amp-10, peak_snr, msg, horizontalalignment='right', verticalalignment='center');\n", "msg = 'OSR = %d ' % osr\n", "text(-2, 5, msg, horizontalalignment='right');\n", "hold(False)\n", "figureMagic([-80, 0], 10, None, [0, 80], 10, None, [12, 6], 'Time-Domain Simulations')\n", "legend(loc=2);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsoAAAGKCAYAAAAVJmexAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XlcVGX7x/EPCK654K65oGgiqUguT+aGKyVqPVmapo9a\n+UtzKc0WM59MU7O0UtMsc9/SVjXKtEcxLcsN99xI0Nz3HQRnfn+cgYAZRpYDM8D3/XrNiznLfc49\n10x5zT3XuQ+IiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiCTTB7jm6k64\nuXnAqmw4Tx+y770IB6aZcJx5ZE9sRERERExluctjDlAAKO2i/gUn6csd4AqwC/gI8HVRnxwpChQz\n4TjPAREYyfBljNc6Nsn2gmTfe7EemJqO/YMx3qeSKdabFRsREQC8XN0BEckzyid53gmYlWLdLSDW\n9nClAOAicA9QH3gJ2AOEAr+4sF8JzBjlfQaYgvHa/gd4A3WBB5PsE2N7uDOPFMv6NUJERERyvCcw\nRgRT6kPyZGc0RpLaG4gCrmOMPHsDg4HjwHng/RTHyQ9MtG2/AWwB2t+lT8E4HqX0xEiQj9ieJ3je\nti4WOIwxQpuUBegPrLT14aDtHFWANbbXsgOol6RNSWCprd83gb0YMUlqHsnLC8KB6cB44BxwBiMe\nKZPIpL4DFjjZDua9F1HAyynWhZO81CLliHJPYCtwFeP1LAcq2rb54vjXCLCPTQGMXwROY3wR2ww0\nTbI92Na+NfAHxvu0FQhKsk9xYKGtH7eASOBFRCRP8Lz7LiIiLuWLMQLdAXgceBIIwxjtbYuRoL4I\nPJakzVygOdAduB+Yj5FAJU1K08oCfAhUt50T4N8Yid4HtuNPAWYAHVO0fRNYDAQC2zCS4Dm2tkHA\nKVvfEhS07ReKMbI9BfgUI5FLYLU9knoauA00AQZhjBR3c/KaTgH/Aqo52ccRX9L/Xjjqr6N1SXkD\nozDer44YJSBLbduOAV1szwMwfpVISFxTHvc9oCvQ19bHPcBqkv+SAcaXjFeBB4ALGO9ZgneAOhjv\nyX0Yo/EnnPRdREREJFPSM6J8E6P2NMGXGKN7SUvH1vPPCKUfRo1x5RTH/g5j5DU1wTgeUQbwt217\nwrb8K/B5in3mAhuTLFuAcUmW77eteynJupZOzplgKUaZSoJ52I8o/5qizZoUbVIqD/xmO/chjBHT\nXiSPaR8y/14AHAWGpTh/yhHku9UoJ8Q/YVQ5GMdxm8c/sSmCMdrfM8l2T4xfARJqsROO0y7JPg+l\nONcKYLaTvolILqYRZRFxd8dInrCdxUju4lOsK2N7/gBG2cF+W7uERweMUWGAfUnWh6WhDwllDAmj\nlf7YJ6e/YoxwJrU7RR/BGNVMua6s7W8+YKSt3Xlb/x7HPulPypriPGCMGJd1sG+C0xgJYV2M0gQP\njJHrLUAhJ+3S8l6cucu50+IBjAQ1CqP8YqttfZV0HMMPY2Q66ftkwSi/cPY+nbL9TXgNn2CMzu/E\nKCtpkY4+iEgOp4v5RMTdxaVYtpI8MUtYl/DF39O23NBB21u2vw9jJFFJ1zmTkFj9dZf9UpYTxDnY\n5mhdQt+HY4y+DsFIqK8DE7h74ukoRmkZCNlne8zAqN3diFGqMD+V/dPyXpDi3Bbs66XzO+lTEeAn\njFHxnvzzJWjjXdqllQf2v2Y4e09WA1WBR4A2GF+svsQowRCRXE6JsojkNhEYyVAFjLIER46n43j5\nMMoljmCMKgL8CTTDKLdI0Awj6cyMZhgX/yXUyHoAtTBm4UgvZzXAjvxp+1skA+dydu5z/FPGAEYd\ntj+wPZW2/kAp4A0g2rauTop9btv+5nPSh0jbfs0wyj8S9m8CLHLSzpELtjaLMBLnJRgXc6b84iAi\nuYwSZRHJLRJGLQ9hJJrzMGZbiMCoZQ3GSJ6+vctxymGMXN6DcTHZUIyL8TrwTwL4Psao4nZgLcYI\ndQ+Mi/wy4yDGz/xNMZKzwRgX0F1y0sYDxzNcOJv14hOMC9LWA39jfKl4E2PWhzXp7fRdzr0OY/R1\nJUY5yUjsE9ykr+EYRm3xYIyR7tokn98ZjATainGh3/cYtdM3UuxzA+N1TrSdNwrjvSxjO25ajcF4\nn/dj/Jv5OMbnSEmySB6gRFlEXCW1EU9riudpmTEh5bq+GAnZe0AljBHZPzDmDL5bfxJGha9jJGT/\nw7jQLSrJviswErnhGDW+UcAA7l7v7Og1J133DsZMFD9ilITMxUj6a6fYPyMxSmoNRvLaH2NGiYsY\ns220wxg5d9S3jL4XEzCS/RUY9c3jMBLz1Nqcw5iCbjwwEONGKEMxYpLgBPCW7VifY5SKPOPg3K/Z\n/s4FSmBMx/cwRh21o9foaF2M7TzVbM83Y8z8ISIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIi\nmeVs+iCXCgwMtO7atcvV3RARERGR3G0DxhSidtz2Fta7du3CarXqYcLjrbfecnkfctND8VQ83fmh\neCqW7vpQPBVPd30ALVPLR902URbzREVFuboLuYriaS7F01yKp3kUS3MpnuZSPLOHEmUREREREQeU\nKOcBffr0cXUXchXF01yKp7kUT/MoluZSPM2leGYPt72YD7Da6kZERERERLKEh4cHpJIT57gR5ZIl\nS+Lh4aGHGz1Klizp6o9FtgoPD3d1F3IVxdNciqd5FEtzKZ7mUjyzh5erO5Bely5dQiPN7sX2TUxE\nREQkV3HnDMdh6YWHh4cSZTej90RERERyqlxVeiEiIiIikh2UKIukk+rCzKV4mkvxNI9iaS7F01yK\nZ/ZQouzm+vTpw6hRowDYuHEj/v7+2XJeT09P/vrrr2w5l4iIiIg7UqJsEl9fXwoXLkzRokUpX748\nffv25caNG5k+bsLMEgDNmzfnwIEDd20zb948mjdvnulzi2PBwcGu7kKuoniaS/E0j2JpLsXTXIpn\n9lCibBIPDw++//57rl27xo4dO9i2bRvvvPNOsn3i4+MzdGxdKCciIiKS/ZQoZ4GKFSvyyCOPsHfv\nXjw9PZkxYwY1a9akVq1aAHz//ffUr18fHx8fmjZtyp49exLbRkRE8MADD1CsWDGeeuopYmJiEreF\nh4dTuXLlxOXjx4/z+OOPU7ZsWUqXLs3gwYM5cOAA/fv3Z/PmzRQtWjRxjuPY2FiGDx9O1apVKV++\nPAMGDEh27Pfff5+KFStSqVIl5syZk9UhytFUF2YuxdNciqd5FEtzKZ7mUjyzhxJlEyWM/B4/fpwf\nfviBoKAgAFasWMHWrVvZv38/ERERPPvss8yaNYuLFy/y/PPP07lzZ+Li4rh9+zaPPfYYvXv35tKl\nSzz55JN8/fXXDucpvnPnDh07dqRatWpER0dz4sQJunfvjr+/P59++ilNmjTh2rVrXLx4EYDXX3+d\nI0eOsGvXLo4cOcKJEycYM2YMAKtXr2by5Mn8/PPPHDp0iJ9//jmbIiYiIiLivjSPskl8fX25cOEC\nXl5eFC9enI4dOzJp0iQKFy7MunXrEmuJBgwYQJkyZRKTVAB/f38+++wzALp3786JEycStzVt2pQ2\nbdowZswYwsPD6dWrF8ePH2fz5s08+uijnD59Gk/P5N935s2bx+zZs9m4cSNgJPBFixZl9+7dVK9e\nHYDNmzfz9NNP89dff/HMM89Qvnx5xo8fD8Dhw4epVasWR44cSdzfGXd9T0RERETuxtk8yjnuznx3\nY9ZN4tKb93l4eLBixQpat25tty1puUR0dDQLFixg2rRpievi4uI4deoUVquVe++9N1nbqlWrOjzf\n8ePHqVq1ql2S7Mi5c+e4efMmDRo0SFxntVqxWCwAnDp1ikaNGiVuq1Klyl2PKSIiIpLb5brSC6vV\nnIeZkpZOVKlShZEjR3Lp0qXEx/Xr1+nWrRsVKlRINpoMRmLtSOXKlTl27Bh37txxej6A0qVLU6hQ\nIfbv3594zsuXL3P16lUAKlSowLFjxxL3T/pc7KkuzFyKp7kUT/MoluZSPM2leGaPXJcou7t+/fox\nc+ZMtmzZgtVq5caNG4SFhXH9+nUeeughvLy8mDp1KnFxcXzzzTds3brV4XEaN25MhQoVeP3117l5\n8yYxMTH89ttvAJQrV46///6buLg4wJgTuV+/frz00kucO3cOgBMnTrBmzRoAunbtyrx58/jzzz+5\nefMmb7/9djZEQkRERMS9KVHOYilHdxs0aMCsWbMYNGgQJUuWpGbNmixYsAAAb29vvvnmG+bNm0ep\nUqVYvnw5Xbp0cXi8fPnysWrVKo4cOUKVKlWoXLkyy5cvB6BNmzbcf//9lC9fnrJlywIwceJEatSo\nwYMPPkjx4sVp164dhw4dAuDhhx/mpZdeonXr1tx33320adPG4QWEYtDcleZSPM2leJpHsTSX4mku\nxTN7uHM2lKMu5svL9J6IiIhITuXsYj6NKIukk+rCzKV4mkvxNI9iaS7F01yKZ/ZQoiwiIiIi4oBK\nLyTT9J6IiIhITqXSCxERERGRdFKiLJJOqgszl+JpLsXTPIqluRRPcyme2UOJsoiIiIiIA6pRlkzT\neyIiIiI5lWqURURExE6fPn34+uuvne7z+++/8+CDDxIUFERAQECyu7d+9913BAYGEhAQQL169Vix\nYkWyY1eqVInbt28DcP78eapVqwZAVFQUhQoVIigoiDp16vDcc89hsVgy/XqeeuopgoKCCAoKolq1\nagQFBSVumzBhAjVr1sTf3z/xzrQpjR49mkqVKiUeY/Xq1Q73Cw4OZseOHQD4+vpSr149goKCqFev\nHitXrsz06xD3oUQ5i02YMIF+/fplybGDg4OZPXt2lhw7pdGjR9OrV69sOZe7U12YuRRPcyme5skL\nsUzLXVh79+7NrFmziIiIYN++fXTt2hWAXbt28corr7By5Ur279/PypUrGT58OHv27Els6+XlxZw5\ncwD49ddfkx23Ro0aREREsHv3bo4ePcq3336b6dfzxRdfEBERQUREBF26dEm8u+3+/ftZtmwZ+/fv\nZ/Xq1bzwwgsOE3MPDw+GDRuWeIyHH37Y4XmSxs3Dw4Pw8HAiIiL46quvGDJkSKZfR1rkhc+nO1Ci\nnMVGjBjBrFmzsuTYHh4eab7VtK+vL+vWrcvUuURExPWioqLw9/enZ8+eBAQE8OSTT3Lr1i0Atm/f\nTnBwMA0bNuThhx/m9OnTAMyaNYvGjRtTv359nnjiicT94Z//v48aNYq+ffvaJZDnzp2jfPnyifvW\nrl0bgEmTJjFy5EiqVq0KGP/OjBgxgkmTJiXu++KLL/Lhhx86HS329PSkcePGREZGmhEeAKxWK8uX\nL6d79+4ArFixgu7du+Pt7Y2vry81atRgy5YtqbZN6datWzz11FMEBATw+OOPJ4tf0jZXrlyhZMmS\npr0OcT0lynmE6ojNExwc7Oou5CqKp7kUT/O4cywPHTrEwIED2b9/P8WKFWPGjBnEx8czePBgvv76\na7Zt20bfvn0ZOXIkAF26dGHLli3s3LmT2rVrJ/s10mq18sorr3DhwgXmzp2Lp2fy1GDo0KHUqlWL\nxx9/nM8++4zY2FjAGKVt0KBBsn0bNGjAvn37EperVKlCs2bNWLBgAc2aNXP4WmJiYtiwYQN16tSx\n23bt2rXEMoikjwceeIADBw6kGp+NGzdSrlw5/Pz8ADh58iSVKlVK3F6pUiVOnDjhsO20adMIDAzk\n2Wef5fLlywB88skn3HPPPezfv5+3336b7du3J4tfq1atqFu3LsHBwbzzzjup9stM7vz5zE1yTaIc\ntjaMkL4hBPcJJqRvCGFrw7L9GBMnTqRSpUoUK1YMf39/1q1bl6xkISoqCk9PT+bNm0eVKlUoVaoU\nM2fOZOvWrdSrVw8fHx8GDx6ceLyU5Q4J7R19M4+MjKR169aULl2aMmXK0LNnT65cuQJAr169OHbs\nGJ06daJo0aKJ3/Z///13HnroIXx8fKhfvz4bNmxIPN7Ro0dp2bIlxYoVo3379pw/fz5dsRARkaxT\nuXJlmjRpAkDPnj3ZtGkTBw8eZN++fbRt25agoCDGjRuXmAzu2bOH5s2bU69ePRYvXsz+/fsBI8kb\nO3YsV69eZcaMGQ7PNWrUKLZt20b79u1ZsmRJquUICeLi4hKfe3h4MGLECN5//327f7siIyMJCgqi\nfPnyVKhQgQ4dOtgdq2jRoollEEkfO3bswN/fP9U+LF26lB49ejjtp6NfSgcMGMDRo0fZuXMnFSpU\n4OWXXwaMxLtnz54A1K1bl3r16iU7Tnh4OHv27GHPnj0MHDiQGzduOD235Bxeru6AGcLWhvHi9BeJ\nDPrnZ5vI6cbz0Hah2XKMgwcPMn36dLZt20b58uU5duwY8fHxbNy40W7fLVu2cOTIETZs2EDHjh3p\n0KED69at4/bt2wQFBfHkk0/SokWLdJc7jBw5khYtWnDlyhW6dOnC6NGj+fDDD1m4cCGbNm1i9uzZ\ntG7dGoATJ07QsWNHFi1axMMPP8zPP/9Mly5dOHjwIKVKlaJHjx40bdqUn3/+md9//53Q0FAee+yx\ndPUntwoPD9c3eRMpnuZSPM3jzrFM+u+D1WpN/NXw/vvv57fffrPbv0+fPqxcuZK6desyf/78xPpW\nDw8PGjVqxPbt27l06RI+Pj4Oz1e9enX69+9Pv379KFOmDBcvXiQgIIBt27ZRt27dxP22b9+eLIkE\noxa5fv36diOtfn5+REREcOHCBVq0aMG2bdto2LBhsn2uXbtG8+bNHf57uGTJksQykKTi4+P59ttv\nEy+2A7j33ns5fvx44vLff//Nvffea9e2bNmyic+fe+45OnXqlLicll9lq1evTrly5fjzzz/tXovZ\n3PnzmZvkihHlqUumJktwASKDIpm2dFq2HSNfvnzExsayb98+4uLiqFKlCtWrV3f4H9aoUaPInz8/\n7dq1o2jRovTo0YPSpUtTsWJFmjdvTkREBJC2/ygT+Pn50aZNG7y9vSldujRDhw5NNkKc0qJFi+jQ\noUPiyEDbtm1p2LAhYWFhHDt2jG3btjF27Fi8vb1p3rw5nTp1UumGiIibOHbsGL///jtgJIzNmzen\nVq1anDt3LnF9XFxc4sjx9evXKV++PHFxcSxatChZ4vnwww/z+uuvExoayvXr1+3OFRb2z6+rhw4d\nwsvLCx8fH4YPH86ECROIjo4GjF89J06cmOxitoR/N0aOHMmyZcscvpZSpUoxbtw43njjDbttRYsW\nZefOnQ5HlR0lyQA///wztWvXpmLFionrOnfuzBdffMHt27c5evQohw8fpnHjxnZtT506lfj822+/\nTfwS0KJFC5YsWQLA3r172b17d7J2Ca/z7NmzHD16NLFuW3K+XJEox1pjHa4/cNG+fml0+GhGh4+2\nW3/w0kGHx4ixxKSpDzVq1OCjjz5i9OjRlCtXju7duyf7Dy6pcuXKJT4vVKiQ3XJGfrI5c+YMTz31\nFJUqVaJ48eL06tWLCxcupLp/dHQ0X375JT4+PomPX3/9ldOnT3Py5El8fHwoVKhQ4v76j/4f+gZv\nLsXTXIqnedw5lrVq1WL69OkEBARw5coVBgwYgLe3N1999RWvvfYa9evXJygoiM2bNwMwduxY/vWv\nf9GsWTO7BNPDw4MnnniCfv360blz58Qa5ASLFi2iVq1aBAUF8Z///IfFixfj4eFBYGAgEydOpFOn\nTtSqVYtatWrx7rvv0qhRo2THBggICKBp06Z2s0UkeOyxxzh79myqF9ilx7JlyxIv4ksQEBBA165d\nCQgI4JFHHmHGjBmJ5+/Xr1/i6PNrr71GvXr1CAwMZMOGDXz44YeAUZJx/fp1AgICeOutt+xGi1u1\nakVQUBCtW7dm4sSJlClTJtOv427c+fNpBjNKas2Q1aUXtYAvkixXB0YBi4BlQFUgCugKXM7oSQp4\nFHC43r+kff3S6ODRjjvqU4toou3WF/QsmOZ+dO/ene7du3Pt2jWef/55XnvttcQLCTLinnvu4ebN\nm4nLCVcvO/LGG2+QL18+9u7dS4kSJfjuu++S1Tun/NmqSpUq9OrVi88++8zuWNHR0Vy6dImbN29S\nuHDhxHX58uXL8GsRERHzeHl5sXDhQrv1CQleSv3796d///526+fOnZv4vG/fvvTt29dun6VLl6ba\nj3//+9/8+9//BoxZnpYuXUqnTp3w8vJKdmwg2XzNvr6+dqOyO3fuTPU86ZHyvAneeOMNh6PWSWem\nWrBggcO2BQsWTDUOR48ezUAvxRkzSmrNktUjygeBINujAXAT+BZ4HVgL3Af8z7acYUN6DMEvInlC\n6rfDj8HdB6fSwvxjHDp0iHXr1hEbG0uBAgUoWLBghhPLhJ9w6tevzy+//MLx48e5cuUKEyZMSLXN\n9evXKVKkCMWKFePEiRO8//77ybaXK1cu2dQ7PXv2ZNWqVaxZs4Y7d+4QExNDeHg4J06coGrVqjRs\n2JC33nqLuLg4Nm3axPfff5+h15Ibae5Kcyme5lI8zePOsXTHKTsnTJjA8uXL8fJyPAbnzvHMiXJ6\nPJ2NGJtRUmuW7Cy9aAscAY4DnYH5tvXzgUxdJRbaLpQpA6cQEh1Cy6MtCYkOYcqgKen61pHZY8TG\nxjJixAjKlClDhQoVOH/+fGJim9pPTalJ2Kdt27Z069aNevXq0ahRIzp16pRq+7feeosdO3ZQvHhx\nOnXqRJcuXZLtO2LECN555x18fHz44IMPqFSpEitWrGD8+PGULVuWKlWqMHny5MSrkpcsWcIff/xB\nyZIlGTNmDL17905THEREJGs5Go0VyUkSRozX+K5hQ7UNrPFdw4vTX0xMliPORjhsl9ZyWDNl51fS\nOcA2YAZwCUi4tNYDuJhkOYHV0cVjmg/Y/eg9ERERkbQK6RvCGl/724iHRIewes5qmvVsxq81f011\nu9lsA4sOc+LsGlHOD3QCvnSwzWp7iIiIiBs4c+YML774IoGBgTRo0IB+/frx999/u7pbGTZq1CgC\nAwOpX78+bdq0STZVXFKrV6/G39+fmjVrMnHiRIf7REVFJc6GER4eTvHixQkKCiIwMJB27dpx7ty5\nLHsducXJGycdrk8YMR7Re4RdOWzlrZXTVVJrluyaR/kRYDuQ8Ok5A5QHTgMVgLOOGvXp0wdfX18A\nSpQoQf369bO8o5IxCbVSCVfh5ublpHVh7tCfnL6seCqe7rqcsM5d+pNdy4sXL+btt99m/PjxTJ48\nmU2bNrFjxw7+/e9/s2zZMo4dO5ah4yesc8Xra9KkCWPHjgVgyJAh9O/fP3Hau4T9mzdvzqBBg3jn\nnXcoXbo0w4cPp3Pnzpw5cybZ8X7//fdks1PVqVOHcePGERwczBtvvMErr7xCnz599Pl0sux1JUn6\nmXAtZDVjAoXw8HCKeBdhysApTFs6jdMnT3M95jpx9eNo17qdKeffuXNn4l0Xo6KicAdfAEmLXN8D\nXrM9fx1410EbqyOprRfXyWvvyfr1613dhVxF8TSX4mmevBrL9u3bW/fs2WO3/sCBA9bHHnvMYZsB\nAwZYGzZsaL3//vutb731VuL6qlWrWkeMGGGtX7++9b777rNu377d2q5dO6ufn5915syZVqvViHPz\n5s2toaGh1lq1aln79+9vtVgsWfLarFardfz48dbXXnvNbv1vv/1mDQkJSVyeMGGCdcKECVar1Wrd\ntm2btV69etbAwEDrK6+8Yq1Tp05i3zt27Gi1Wq1Wi8ViHThwoHXKlClZ1vek3P3z+f2a763t+7S3\ntuzd0tq+T3vr92u+T7bN71E/K6NJfPh19ku2T1IWi8X6yKJHrBM2TsiSvuKksiE7RpSLYFzI1y/J\nuneB5cCz/DM9nEiOkPCtVMyheJpL8TRPXozloUOHKFOmDHXq1OH777/nrbfeSrx51ldffYWnpycX\nLlygVKlSydqNGzcOHx8f7ty5Q9u2bdm7dy916tTBw8ODqlWrEhERwbBhw+jTpw+bN2/m1q1b1KlT\nh+effx6ArVu38ueff1KlShUefvhhvvnmG7p06ZLsHMOGDWP9+vV2fe7evTuvvvrqXV/byJEjWbhw\nIYULF068KUtSJ06coHLlyonLlSpV4o8//gCMqfNmzJhBs2bN7M61ceNGgoKCuHDhAvfcc4/TGarM\n5M6fz7tN75YwUcK0pdOIscRQ0LMggwcNTnUCBQ8PD2aEziD6sv00vlktOxLlG0DpFOsuYiTPIiIi\n4iZ2795NkyZNsFgsjBkzhvXr13P58mXq1KkDQM2aNTl69Khdorxs2TJmzZpFfHw8p06dYv/+/Ylt\nOnfuDEDdunW5ceMGRYoUoUiRIhQoUICrV68C0Lhx48RSy+7du7Np0ya7RPmDDz7I1GsbN24c48aN\n491332Xo0KF28y2nNqvUlStXuHLlCs2aNQOgV69e/Pjjj4nbmzdvzqpVqwB47733ePXVV/nkk08y\n1decztn0bgnJcNKEOS18S/jiW8LXzG6miWe2n1Ekh0taHyaZp3iaS/E0T16NpaenJ+fPn8fPz49i\nxYpRpUoVAgICAOMWzUnvJgvGDTcmT57MunXr2LVrF6GhocTE/DONV4ECxk3BDh48SP78+ZOdJz4+\nHkiepFqtVodJ69ChQwkKCrJ7OLro7plnniEoKIiOHTvabevRowdbt261W3/vvfcmu8jv+PHjVKpU\nyW4/q5NZnjp16sQvv/yS6nYzufPnM7U7JrtierfMyq6L+URERMTN1alTh3fffZfnn3+eyMhIrl69\nyuXLl/nzzz/Zu3cvZ8+eTVaeAHD16tXEG16dOXOGH3/8kVatWqXrvFu2bCEqKooqVaqwfPnyxJKM\npBJuJ50Wc+bMSbZ8+PBhatasCcCKFSsICgqya9OwYUMOHz5MVFQUFStWZNmyZSxdupTixYtTokQJ\nfv31V5o2bcrixYtTPe+mTZuoUaNGmvuZW6V2x+T03O3YXeS4RNnHx8ct70iUl/n4pJwCO3dz57qw\nnEjxNJfiaZ68GEt/f3+OHTvGwYMHefPNN2nVqhXVq1enc+fOTJo0yeHtoQMDAwkKCsLf35/KlSsn\nliikVLu/fyJkAAAgAElEQVR2bbZv3564nPTf8kaNGjFo0CCOHDlC69ateeyxTN2HzM6IESM4ePAg\n+fLlw8/PL7E04uTJk/Tr14+wsDC8vLz4+OOPCQkJ4c6dOzz77LPUrl0bMG6L/cwzz+Dh4UH79u2T\n9T2hRtlqtVKiRAk+//xzU/ueGnf9fP505Cd6d+lN5OeRycov/Hb4MXiQOdO7/X31b1YeXMkLjV4w\n5XjOuHPGaXX284aIiIiY78CBAzz99NNMnDiRtm2Ny4l27NjBqVOnCA1Ne01pWoWHhzN58uTEOl9x\nvbC1YUxdMpVYaywFPAowpMeQNNUT/xL9C08sf4J1vdcRvSs6+cV63VO/WC+9Lt26xJI9SxjYeKAp\nx3OHG46IC7lzHVNOpHiaS/E0l+JpnrwaS39/f1auXMnXX3/NAw88QGBgIDNnzky8yUZGpRZPDw8P\n/VKcAVn1+bzb7aVTczX2Kk999RRLuiyhTtk6hLYLZfWc1YTPC2f1nNWmJckAPoV8GNh4IGFrwwjp\nG0Jwn2BC+obctY8ZkeNKL0RERCRr3Xvvvdk2c0PLli1p2bJltpxL7i4tM1Y4UqxAMbb020KlYvYX\nQGaFu01BZxZ3/gqn0gsRERGRJDJaFpFWwX2C2VBtg936Fn+1YMN8+/WuEtI3hDW+a+zXR4ewes7q\ndB3LWemFRpRFREREcoDsGEVNbcaKIxeOJOtHVibraZFdU9CpRjkPyKt1dllF8TSX4mkuxdM8iqW5\nFM/MS1YWcdT4k1AWkVnXYq8x5Mch9O/WH78Iv2Tb/Hb4MW2gcY6M1jCbLbumoNOIsoiIiEgOkJWj\nqEXyF6FJpSY8WudR8ufLn+rtpTNaw2y2IT2GEDk966agS6AaZREREZEcwP9xfw4GHrRbn5663MyW\nTaRWw9zyaEvC54Wn+ThmCFsbxvuL3mf/+f08UO6BDE9BpxplERERkRzu0Q6PsnzlcqIaRCWu817v\nTUyrGC7HXKZEwRJO25tR4+xOd90LbRea5aPYqlHOA1QXZi7F01yKp7kUT/MoluZSPDNv4nMT+Xjw\nx4REhxC4OZCQ6BCWvraU+xvez/A1wwGczi3srGwirYb0GOKwhnlwd3NLHtyFRpRFREREcoiEUdTw\n8PDE21h3oQvxlvi7jhibUeOcMIKbWg1zbqMaZRERERE3c+jCIb7c9yUjW4xMc5u7zS1s5tzDuYlu\nYS0iIiKSQ2w+vpmW81pS/p7y6Wp3txHj3Fo2YbVamb9zPharxfRjK1HOA1QXZi7F01yKp7kUT/Mo\nluZSPNNu0e5FzOk8h2cfeDbVfRzF824X2oW2C2XKwCmERIfQ8mhLQqJDmDJoSo4vm/Dw8GDbyW1c\nv33d9GOrRllERETEjUwPnZ6hdmmZWzg7ZopwhWkdMn/TFUdUoywiIiKSS4StDUt+oV0G5xbOS5zV\nKCtRFhEREXGR2PhYdpzaQZPKTVzdlTxLF/PlcaoLM5fiaS7F01yKp3kUS3Mpno5FXopk/q756W6n\neGYPJcoiIiIiLhJQJoCZHWe6uhu5wtyIuRy9dNTUY6r0QkRERERyvJ7f9KSVbyuns4U4otILERER\nETew6dimLJnGTKBRxUZsO7nN1GMqUc4DVMdkLsXTXIqnuRRP8yiW5lI8YcGuBXRZ3oXDFw5n+liK\np70ONTsQUiPE1GNqHmURERGRLLbz9E7+u/6/rO+9noAyAa7uTq5Us1RNapaqaeoxVaMsIiIikg2u\n377OPfnvcXU3TGGxwKlT8PffqT/OnYNKlaBmTahRw/ib8KhcGfLlc/WrMGgeZRERERHJsJgY2LYN\nfv0VNm2C336D/PmNhLdSJfvHvfdC6dJGwnz48D+PI0eMv+fPg68vTJoEoS6+H4oS5TwuPDyc4OBg\nV3cj11A8zaV4mkvxNI9iaa68Fs+rsVcpmr9oQhJmuqyO56VLRkK8aZORHEdEQO3a0KwZNG1qPCpW\nzPjxb96Ev/6CMmWgXDnz+p0RmvVCREREJBv1+a4Pvx7/1dXdSJfISPjgAwgOhqpVYepUKFwYRo+G\n06eNEeWPPoInn8xckgzGcevUMT9JPnP9DC+EvWDa8TSiLCIiImKyW3G3KORdyNXdcMpigS1bYOVK\nWLECLlyATp2gc2do2xYKuXf3Hbp95zY/Hv6RR/0fTXMblV6IiIiICHfuQHg4LFtmJMilSsGjjxrJ\ncePG4JkHaw1UepHHaa5Fcyme5lI8zaV4mkexNFduj+fFWxez9XzpiafVCjt2wMsvQ5Uq8OqrcN99\nRv3xvn0wfjw8+GDeTJLvJjvmUS4BfA7cD1iBvsBhYBlQFYgCugKXs6EvIiIiIqaxWC2M+HkEO07v\nYG2vta7uTjJ//QVLlsDixRAbC08/DT//bFyUJ2mTHaUX84ENwByMxLwIMBI4D7wHvAb4AK+naKfS\nCxEREXFrz696nr3n9rLyqZWUKlzK1d3hyhVYuhQWLDCmYuva1UiQH3wQsmgCjhzPlTXKxYEIoHqK\n9QeAlsAZoDwQDvin2EeJsoiIiLi17Se3E1AmwKUX7lmtRhnF7Nnw3XfQrh306QPt24O3t8u65VJt\nF7Tlyye/xKeQz133dWWNcjXgHDAX2AHMwhhRLoeRJGP76+IZ9HK33F4Xlt0UT3MpnuZSPM2jWJor\nt8azQcUGLkmSw8PDOXMG3n8f/P3h+eehbl04dAi+/NK4iUdeTZLBmP1i28ltmT5OVifKXsADwAzb\n3xs4KLGwPURERETECYsFVq+GUaOMBPnPP2HuXOOivJdfhrJlXd1D99CoYiNTEuWsLr0oD2zGGFkG\naAaMwCjFaAWcBioA63FQetG7d298fX0BKFGiBPXr10+8C03CN1Mta1nLWtaylrWs5exY3nt2L0M/\nHcrI5iOz/fz/+lcwCxfCO++Ekz8/vPZaMN26wY4d7hMfd1r2b+hP/nz52f3HbrvtO3fu5PJlYw6J\nqKgo5s+fDy6cR/kX4DngEDAaKGxbfwGYiDHCXAJdzCciIiJuLN4Sz96ze6lfvn62nfP0aZg+HT79\n1Lggb9gwaNlSF+aZydXzKA8GFgO7gHrAOOBdoB1G8tzatixZJOHblZhD8TSX4mkuxdM8iqW5ckM8\nvTy9si1J3r0b+vY1pnK7eNG4WG/lSggONpLk3BDPnCA75lHeBTRysL5tNpxbREREJEewWOCnn+CD\nD2D/fhg0yJjirZTrZ53Ls9x54F6lFyIiIuISN27foNe3vXjloVdoUrlJlp7r1i1YuBA+/BAKFjTK\nK7p1g/z5s/S0eYLFasHTw3kBhbPSi+wYURYRERFxa2Frw5i6ZCqx1lg8LB6cKHuCps2b0rBiwyw7\n5+nTMGOGUX/8r38ZzxNKKyTz1kauZfrW6Xz31HcZPkZ21CiLi6mOyVyKp7kUT3MpnuZRLM3lzvEM\nWxvGi9NfZI3vGjZU20C4XzgX91ykS6EueOczfzLiPXvgmWeM+uPz5+GXX4z641at0p4ku3M83cWN\nwze48dMNgvsEE9I3hLC1Yek+hkaURUREJE+bumQqkUGRydZdeOgCH3/xMR3bdzTlHAn1xx9+CHv3\nqv44q4WtDWP4zOHJ3tfI6cbz0HahaT6OOw/uq0ZZREREspTFauHBng+y9b6tdttaHm1J+LzwTB3/\n1i1YtMhIkPPn/6f+uECBTB1W7iKkbwhrfNfYr48OYfWc1cnWqUZZRERExIHoy9H8deEvh9sKehbM\n8HHPnDFqjmfOhMaNjbmQVX+cfWKtsQ7Xx1hi0nUc1SjnAapjMpfiaS7F01yKp3kUS3O5azyr+VRj\n/svz8YvwS7beb4cfg7sPTvfx9u6FZ581bi999ixs2ACrVqWv/jgt3DWe7qKAh+Mh+/R++dGIsoiI\niOR6B88f5IPNH/B47ccJqRGSbFtCzeq0pdOIscRQ0LMggwcNTnMtq9UKa9YY8x/v2QMDB8Lhw1C6\ntOkvQ9JoSI8hRE6PTFaj7LfDj8GD0vflx51/AFCNsoiIiGTa7B2zGfG/EbzQ6AVeaPQCZYuUNeW4\nMTH/1B97eRn1x089pfpjdxG2NoyXP3mZ6/HXqVO6DoO7O/7y46xGWYmyiIiI5GqXYy5TIF8BCnkX\nMuV4Z88a9ceffAINGxoJcuvWqj92R59s/YTDFw/zQcgHqe7jLFFWjXIeoDomcyme5lI8zaV4mkex\nNFd2xPOO5Q4zt83kjuVOsvUlCpYwJUnetw+eew5q1TJuFrJhA4SFQZs22Z8k6/OZNgMaDXCaJN+N\napRFREQkV/D08OTE1RNcib1CyUIlTTmm1Qpr1xr1x7t2qf44r3HnHwlUeiEiIiKpun3nNvnz5c+S\nY8fEwOLFRv2xp6dRXtG9u+qPcyOVXoiIiEiuYLFaCDsURqv5rRj20zDTj3/2LLz9Nvj6wjffwEcf\nGSPJffooSc6LlCjnAapjMpfiaS7F01yKp3kUS3OZFc89Z/Ywav0ongt6jg9DPjTlmACRkfD880b9\n8cmTsH69UX/ctq17XqSnz2fa3LHcISY+fTcZSUqJsoiIiOQYgeUD2f5/23m63tN45/PO9PH274de\nveBf/4Jy5eDQIfj0U6hd24TOisutPrKant/0zHB7N/yOlEg1yiIiInnYmA1jaO/XngcrPWj6sXfu\nhHHj4Jdf4MUXjYv0ihc3/TSSA6hGWURERHKcdtXb4efjd/cd02HzZujYEUJD4aGH4K+/4I03lCSL\nY0qU8wDVMZlL8TSX4mkuxdM8iqW5nMUz3hLP7jO77dY3qdyEMkXKZPrcVqtRc9ymjTFzRceORk3y\n0KFQpEimD+8S+nxmDyXKIiIi4hK379zmw80fUmNqDd5c9yZml1xarfDjj9CsmXGhXq9exhzI/ftD\nwYKmnkpyKdUoi4iISJYJWxvG1CVTibXGUsCjAEN6DCG0XShgTPU27KdhPF33aRrd28i0c1os8N13\nRg3y7dswciQ8+STky2faKSSHsFgtxMbHOr0zo7MaZSXKIiIikiXC1obx4vQXiQyKTFznF+HHlIFT\nEpNlM8XHw7JlMH48FC4Mb74JnToZNwyRvGn3md08/c3T7BmwJ9V9dDFfHqc6JnMpnuZSPM2leJpH\nscy8qUum/pMkHzX+RAZFMm3pNFPPc/s2zJ4N/v4wc6ZxN70tW+DRR3NvkqzPZ9p4e3oTdycuw+29\nTOyLiIiISKJYa6zD9TGWjN8AIqlbt4wE+b33jCR5zhxo0cKUQ0suUcCrAF6eGU93VXohIiIipjhx\n9QSLdi9i7V9r+annT3R4tgNrfNfY7RcSHcLqOaszfJ7r142R48mToXFjowa5cePM9FzyMpVeiIiI\nSJayWC20XdiWyEuRjA4ejaeHJ0N6DMEvIvk8yH47/BjcfXCGznH5MowdC9Wrw9atsHo1rFihJFmy\njhLlPEB1TOZSPM2leJpL8TSPYpk6i9VCTHzy8glPD0/2vbCPzzp9RrMqzfDw8CC0XShTBk4hJDqE\nwM2BhESHMGVQ+i/kO3fOGDX28zPmP/7lF+OivcBAM19VzqLPZ/ZQjbKIiIiky8j/jaRy8cq80OiF\nZOs9PezH30LbhRLaLpTw8HCCg4PTdZ6TJ2HSJJg3D7p2hW3boFq1THRcJJ1UoywiIiKpslgtdglw\nbHws+fPlT6jtNF1UlHGB3hdfQO/eMHw43HtvlpxKcjmr1crNuJsUyZ/6LRhVoywiIiJpFm+JJ+xQ\nGF2/7EqLufbTSBTwKpAlSfKhQ9C3LzRoACVKwIEDxlRvSpIlo+5Y71BhcoUMt1einAeojslciqe5\nFE9zKZ7mycuxvBV3i8mbJ9O6WmtWdV9lyjGdxXPPHujeHZo2NUorjhwxbhpStqwpp86V8vLnMz28\nPL24OuJqxtub2BcRERHJYU5fP00R7yIULVA0cV3RAkVZ13tdlp9761bjNtN//AFDh8Jnn0HRondv\nJ5JdVKMsIiKShz238jl61O1B62qts+2cGzfCO+/A/v3w6qvw3HNQqFC2nV4kGWc1ytmRKEcBV4E7\nQBzQGCgJLAOq2rZ3BS6naKdEWURExCRWq5WLty5SqnApF50ffv7ZSJD//htGjID//Afy53dJd0QS\nufpiPisQDARhJMkArwNrgfuA/9mWJYuojslciqe5FE9zKZ7myS2xPH/zPGM2jKHmtJq8vOblbD+/\n1QqrVkFAQDgvvgj9+sHBg8YospLkjMstn8/scDPuJharJUNts+tivpRZemdgvu35fOCxbOqHiIhI\nnhJ3J46zN86ytMtS5j46N9vOa7Uad81r2BDefBOeegr27oWePcFLV0hJNqo5rSYnr53MUNvsKL34\nC7iCUXrxKTALuAT4JOnDxSTLCVR6ISIikg5rI9fSomoLCngVcFkfLBYjQR4zxlj+73/h0UfBU/Ns\niYv4fuTL+t7rqebj+G41zkovsuM7XVPgFFAGo9ziQIrtVttDREREMmHlwZX4lfSjuk/1bD+3xQLf\nfmskyPnywejR0LkzZNE9SUTSrFiBYsRb4jPUNrs/vm8B14F+GHXLp4EKwHrAP8W+1t69e+Pr6wtA\niRIlqF+/fuLtLxNqc7R89+WkdUzu0J+cvqx4Kp7uvKx4mrecsM5d+pN0+fKty9R7sB7Vfaq7vD/r\n1oWzcSN8/XUw+fPD44+H06QJtGqVfP+ENq7ub25ZTljnLv3JScs7d+7k8mVjDomoqCjmz58PLpr1\nojCQD7gGFAHWAG8DbYELwESMC/lKYH9Bn0ovTBIeHp74AZHMUzzNpXiaS/E0jzvGcs+ZPYxaP4rw\nqHDGthrL4H8NdllfLBb46isYOxYKFjRGkDt0SH0E2R3jmZMpnuZx5fRw1YBvbc+9gMXABIzp4ZYD\nVdD0cCIiImly5OIRNkZvpEtAF4oVKOaSPty5A19+aSTI99wDb70FjzyiEgvJuVw9j3JGKVEWEZE8\nKd4Sz/Qt0xn8r8F4eni6ujuAkSAvW2bMg1y8uJEgh4QoQZacz9XzKIuLJa1nksxTPM2leJpL8TSP\nK2OZzyMfl2IuceP2DZf1IcGdO7B4Mdx/P0yfDh99BL/9Bg8/nL4kWZ9NcymeaRcTH5Phi/mUKIuI\niLiIxWph3dF1HDiffEIoDw8PRgePpmiBoi7qGcTHw8KFEBAAM2fCxx/Dpk3Qvr1GkSVnefLLJ/kl\n+pcMtXXnj7pKL0REJNf67sB3vLj6RXwK+jCp/STaVm/r6i4BRoK8eLFRYlGhgnGRXqtWSo4l91KN\nsoiIiJs5fOEwN+NuElg+0NVdASAuDhYtgnHjoFIlowY5OFgJsuR+qlHO41THZC7F01yKp7kUT/OY\nFcsLNy/wyppX7NbXLFXTLZLkuDiYMwf8/Y1Si9mzITzc/FFkfTbNpXhmD91tXUREJAuVKFiC+8ve\nj8VqcZsZLABu34YFC2D8eKhWDebOhRYtXN0rEffizj+oqPRCRERyjJPXTrJ492Ier/04fiX9XN2d\nVN2+DfPmGQlyzZpGiUWzZq7ulUjWiY2PxcPDg/z58jvcrtILERGRLDR2w1jun3G/3ewV7iQ21pi9\nomZN+PprWLIE1q5Vkiy538AfBjJ/5/wMtVWinAeojslciqe5FE9zKZ7mSU8s+9Tvw4lhJ5j96Gy3\nG02OjYVPPjES5BUr4Isv4Kef4KGHsrcf+myaS/FMO29Pb+IscRlqq0RZRCQXCFsbRkjfEF569yVC\n+oYQtjbM1V3KsZzFct/ZffRb2c+uTeXilSnsXTg7u3lXMTHGDUJq1IBVq4zbTv/4IzRp4uqeiWSv\nIvmLZLitapRFRHK4sLVhvDj9RSKDIhPX+UX4MWXgFELbhbqwZznP3WJ5K+4W+8/tp0HFBi7spXMx\nMTBrFkycCPXrw3//C40bu7pXIu5LNcoiIrnY1CVTkyV2AJFBkUxbOg2A/3z7H45cPGLX7pkVzxA8\nL5hW81sReTHSbvvzq57nr0t/2a0fGDaQ0CWhdFzSkaOXjtptf2n1S0RdjrJbP3zNcLp+2ZVuX3Uj\n+nK03fYRP4/g2JVjdutHrRtF3xV9eWbFMxy/ctxu+5gNY/j76t9268dvHM+gHwYx+IfBnLh6wm77\n+7++z8lrJ5Otu1ssC3kXctsk+dYtmDIF/PyM2uPvvoPvv1eSLJIZd5sezhtoD7QAfAErEA38AvwE\nZOzG2ZKtwsPDCQ4OdnU3cg3F01yKZ+adjzn/z8JRoJrxNMYSA8DQB4dS4Z4Kdu0GNBzA9dvXsWKl\n3D3l7Lb3rt+bMoXL2K3vVqcbV2OvYrVaKVW4lN32Tvd1wqegj936dtXbcTnmMgDFCxa32960SlOK\n5re/ZXODig2odst4UY5+Qq1dujaFvArZra9Wolri8Qp4FbDbXu6ecnh7eidbF2uN/WfBQSzd0a1b\n8Omn8N57RlK8ahU88ICre2VP/62bS/HMHs4S5VFAF2AzsAVYhzECXQHoBIwDvgLeyeI+ioiIE4W9\nHNfGFvQsCEBQhSCH2xvd28jpcR+q7PhqrxZVnU+226Z6G4frQ2qEOG3X8b6ODtc/5v+Y03ZP3v+k\nw/Xd63Z32u4/gf+xW1fAwz6hhn9i6U5u3jRmsXj/faPu+IcfjFILETGPsxrlzsAqjFFkRzyBjsBK\nsztloxplEZE0cFhXu8OPKYNUo5xeOSGWN24Ys1hMnmzMXPHf/0Kg62/wJ+K24u7Eccd6h4Jejr/w\nOqtR1sV8IiK5QNjaMKYtnUaMJYaCngUZ3H2w2yR2OY27xvL6dZgxAz74AJo3h1GjoF49V/dKxP1N\n+2MaJ66d4N227zrcntFEuQwwELgIzAXew6hVPgK8bPublZQom0R1TOZSPM2leKZPvCWegWEDGd9m\nvMP6YMXTPO4Sy+vXjWnePvgAgoONBLlOHVf3Kv3cJZ65heJpnozOerEEyA/cB/yBcVnDE8D3wOfm\ndlFERNLCy9OL0PtCKVagmKu7Ilns2jWYMAGqV4edO2HdOli2LGcmySI5lbMR5V1AoG2faKBKkm07\ngay+ZEAjyiIikudcvQrTphlTvbVtC2++CQEBru6VSO7lbETZ2awXFttfK3AhxTZlsCIiIia6cgWm\nTjUeISHwyy/g7+/qXonkbc5KL6pjzGixCmMmyVVJHtWyvmtiFt0P3lyKp7kUT+emb5nO1D+mpnl/\nxdM82RXLy5dhzBjjVtOHD8OmTbBoUe5LkvXZNJfimXbxlnhuxd3KUFtnI8qPJnk+OcW2lMsiImKi\nO5Y7DF8znNWRq/mhxw+u7o5kgcuX4aOP4OOPoWNH+O03qFnT1b0SyX1WHlzJwt0L+bbbt+luq+nh\nRETc0O07txm1bhSvN3sdn0L2d7mTnOvSJfjwQ2Oqt06dYORIYzRZRLLGqoOr+HT7p3zf43uH2zNa\no7zHyTYroNkbRUSySP58+ZnYbqKruyEmunjRSJA/+QQefRT++AP8/FzdK5Hcr6BXQbzzed99Rwec\n1Sh3sj1+tD16AE8DP9iWJYdQHZO5FE9zKZ7mUjzNY1YsL1wwRo1r1oTTp2HrVpg9O+8lyfpsmkvx\nTLt2fu0yVHYBzkeUo2x/25N8KrjdQATwWobOKCIidtZGrqWAVwFaVG3h6q6ISc6fN24z/dln8MQT\nsH07+Pq6ulcikh5pqVHehXGHvk225abAdDSPsoiIaf731/8o4FWAZlWauborkknnzsGkSfD559C1\nK7z+OlSt6upeiUhqMnoL6wQNMG5hXdy2fBnoC+wwo3NOKFEWEZEc4+xZI0GePRu6dTMS5CpV7t5O\nRFwro7ewTrAd48K9wCSPrE6SxUSqYzKX4mkuxdNciqd50hrLM2dg+HBj3uObN2HXLmNGCyXJyemz\naS7FM+0sVgs3bt/IUFtniXIfktcwX7Y9EuTHGFkWEZF0OHfjHK+seYW4O3Gu7opkwunTMGwY1K4N\nt2/Dnj3GnMiVKrm6ZyKS1JGLR2g+t3mG2jorvRgEPAscALYBp2z7lwcaAv7ALGBGhs58dyq9EJFc\n5+D5g4QuCaXb/d0Y23osnh5p+WFP3MmpUzBxIixYAL16wWuvQcWKru6ViGRUZmqUPTAu3msGJPyI\nFI1xYd9vGPMpZxUlyiKS60z6bRIlC5XkmaBnXN0VSaeTJ40EeeFC6N0bXn0VKlRwda9EJLMyU6Ns\nxUiK3wVesD0mAr+StUmymEh1TOZSPM2V1+I5/KHhWZok57V4ZqWEWJ44AYMHQ5064OUF+/cbNw5R\nkpw++myaS/HMHtnxm18+jHmXV9mWSwJrgUPAGqBENvRBREQkXc6ehYEDoV49KFgQ/vzTmBe5fHlX\n90xEsktapofLrGEYU8wVBToD7wHnbX9fA3yA1x20U+mFiORosfGx/HjkRx7zf8zVXZF0OH4cJkyA\nZcvg2WeNGS3KlnV1r0Qko6xWK9dvX6dogaIOt2d2erjMqAR0AD5P0oHOwHzb8/mA/gURkVzpSuwV\nfv7rZyxWi6u7Imlw/Di88ALUrw/FisGBA/Dee0qSRXK6mPgYyrxfJkNt05Iol+GfJNcD6AHsS+Px\nPwReAZL+K1EOOGN7fsa2LFlIdUzmUjzNlZvjWbZIWT7u8HG2zmyRm+OZVRwlyO++C/v2hbu6a7mK\nPpvmUjzTzjufN3GWjE3H6eVk2+PAZ0AccAfjQr7RwDGgVxqO3RE4i1GfHJzKPlacXBTYp08ffH19\nAShRogT169cnONg4VMIHRMta1rKWtazljCz7+QUzYQIsWhROx45w4EAwZcrYJyDu0t+cvpzAXfqT\n05cTuEt/3HnZarVyT/57sFgt/LLhF3bu3Mnly8atQaKionDGWY3yHuDfwBGMGuM/bMurnLRJajxG\nQh0PFASKAd8AjYBg4DRQAViPMSdzSqpRFpEc5Zs/v6FhxYZUKa5bsrmzpDXI/frByy9DmYz9Kisi\nuUBGa5TjMZJkMG5jfYC0J8kAbwCVgWrAU8A6jMR5JdDbtk9v4Lt0HFNExO1YrVYmbJzAS6tf4krM\nFcIkw+EAACAASURBVFd3R1Jx7BgMGACBgclLLJQki0hqnCXKZTBmrHjZ9iiRZHlYBs6VMDz8LtAO\nY3q41rZlyUIpf6aRzFE8zZUb4nnwwkFWHFzB5mc3U7dcXZf2JTfE02wJCXJQEJQoAYcOpS1BVizN\npXiaS/HMHs5qlD/HmNIt5bIH6b/ZyAbbA+Ai0Dad7UVE3JZ/aX82P7s54ec7cRPHjhklFsuXw//9\nHxw8CKVLu7pXIpKTuPP/1VWjLCIi6ZYyQX75ZSXIInnd9dvXKexd2OEsRM5qlJ2NKL+VyvqE7HVM\nejooIpJb7D27l/tK3Uf+fPld3RVJQiPIIpKaJrObsKr7KnxL+KarnbMa5RvA9RQPK/Asxh31JIdQ\nHZO5FE9z5cR4Tvl9CrvP7HZ1NxzKifHMrJQ1yAcPGglzZpPkvBjLrKR4mkvxTJ89A/akO0kG5yPK\nk5I8LwYMAfoCXwCT030mEZFcYlbnWa7uggDR0UZC/OWXGkEWkaxxtxrlUsBQ4GlgAfARcCmrO2Wj\nGmUREbGTNEF+/nkYNkwJsohkXEbnUZ4EbAGuAfUwapazK0kWEXEL129f59djv7q6G4KRIPfvDw88\nACVLGiPI48crSRaRrOMsUR4G3Au8CZzESJgTHlezvmtiFtUxmUvxNJc7x/PE1RM0n9ucZfuWubor\naebO8cwoVyXIuTGWrqR4mkvxTJ+bcTeJt8Snu52zRNkT49bTRR08imWgjyIiOUrPb3vS7f5uTHl4\niqu7kidpBFlEzNJhcQc2Rm9Md7u0zKPcCggAvIE9GLeizo7iYdUoi4hL3Yy7SWHvwq7uRp4THW0k\nxF99pRpkETFHu4XteOWhV2jv195uW0ZrlO8F/gDeBvyAKhh1ytuBisCTmeuyiIh7U5KcvaKjjcT4\ngQeMxPjQIY0gi4g5ihcoTkYGYJ0lytOBT4AWGPXKw2zPPwLWAK+kv5viCqpjMpfiaS53iafFauHs\njbOu7kamuUs808NRgjxuHJQq5dp+5cRYujPF01yKZ/p81fUrQmqEpLuds0Q5AJjnYP0CoATQKd1n\nExFxUz8e/pGR/xvp6m7kKe6aIIuIJHBWo3wYuA/7emRP4CBQM6s6ZaMaZRHJVvGWeLw8nd2HScyQ\ntAa5f3+jBlnJsYi4SkZrlMOAz4B7kqy7B5gJ/GBW50RE3IWS5KylEWQRyWmcJcqvAleAKGCH7RGF\nMY+y6pNzENUxmUvxNJer4nnowiGXnDeruePnMyrKuMV0TkuQ3TGWOZniaS7FM31i4mOIjY9Ndztn\nifJtYDjGbBd9gN625y/btomI5EhzIubQfG5zTlw94equ5GoJCXKDBlC2bM5JkEUk93njf2+wcPfC\ndLdzVqPcGDgOnLIt9wa6YIwqjwYupvts6aMaZREx3Rd7v+DNdW8S1iOMWqVrubo7uVJUlFGD/PXX\nMGAADB2q5FhE3JezGmVniXIE0AYjIW4BLAMGAUGAP/CEqb20p0RZREx3K+4WN+JuULqwJuc1mxJk\nEcmJMnoxnyf/jBp3Az4FvgbeJOtnvBATqY7JXIqnubI7noW8C+XqJNkVn09HJRbvvJPzk2T9t24u\nxdNcimf2cJYo58O4bTVAW2B9km26NFxEcoSMXLwhaZNbE2QRkQTOSi9GAqHAeaAy0ACwYIwmzwOa\nZnHfVHohIpkSGx9Lw1kN2dBnAyULlXR1d3KNo0eNEotvvoEXXjBKLEoqvCLixmLjY7FYLRTyLmS3\nLaM1ygBNgPIYt6y+YVt3H8Z8yjsy2tk0UqIsIpl26dYlfAr5uLobuYISZBHJqd779T3O3TjH++3f\nt9uW0RplgM3At/yTJAMcIuuTZDGR6pjMpXiaK6vjmdeS5KyI59Gj0K8fNGwI5cvD4cMwdmzuT5L1\n37q5FE9zKZ7p4+3pTZwlLt3t7pYoi4jkGLfv3ObG7Rt331HSJK8myCKS+/x/e3ceH1V973/8lYSE\nhEUDoiyKBIMIqJBooYKiUUTwYtn8KXVnsRYXhGqt272tS3FBRZGl2l8FkV5R3KoQ5RLRKDa3ajVh\nUwgkBgEFEQghkD25f5xJMkkmYWbynTlnZt7PxyOPzDlzZuabN5PwyTef8z3t49r7dfXVY7Ve2Emt\nFyLitYMlB5m4YiKjk0dz7wX32j2ckKYWCxGJJK1pvRARcbzi8mKGLR5GardUfj/s93YPJ2R99x3c\nfLNmkEVEaqlQjgDqYzJLeZplIs8OcR1YPHYxc0fNJSY6pvWDCmH+5FlbIA8eDD16qECupe91s5Sn\nWcozOFQoi0hYGNpzqN1DCDmNC+TcXHjkERXIIiK11KMsIiGn9meDq69MfJSfb/Ug/+MfVg/yrFkq\njkUkvFVWV1JWWUb7uPZN7lOPsoiElSc+e4IlOUvsHkbIyc+3ZpCHDNEMsohElg/zP2TKu1N8fpwK\n5QigPiazlKdZ/uR5U8pNXDXgKvODCQOe8lSB7B99r5ulPM1Snr4Z3Wc0K65a4fPjfF9QTkTEZj06\n9rB7CCEhPx9mz7ZaLG6/3SqQVRyLiHgvkA1+8cAnQFsgDngXuB/oDLwO9AIKgKuBQg+PV4+yiABW\nb5k/C8VHqtoC+d13rQJ51izoFFkXKBQR8ZpdPcqlwMVACjDQdfsC4D4gA+gLrHVti4h49N7W9zjv\nb+dRVV1l91AcLz8fpk2zWixOOcVa5u3hh1Uki4j4K9A9ykddn+OAGOAgMBZY6tq/FBgf4DFEPPUx\nmaU8zWopzxf+/QLTV01n0ZhFEb8+ckvcC+TKykwVyIboe90s5WmW8vRNVXUVRWVFPj8u0IVyNJAD\n7AU+BjYDXV3buD53DfAYRCRE9evSj6xpWQw5eYjdQ3EkTzPIU6aoQBYRaeybfd8w7KVhPj8uWIuQ\nHg/8D1aP8tuA+4/xA1h9y42pR1lExAP1IIuI+GbLz1sY99o4tt6xtcl9LfUoB+vsmENAOnAu1ixy\nN2AP0B34qbkHTZ48maSkJAASExNJSUkhLS0NqP+Tg7a1rW1tR8r2qaemMXs2vPlmJuPHw7ZtaXTq\n5JzxaVvb2ta2U7d7DepFfJt4MjMzycnJobDQWkeioKCAlgRyRrkLUIm1okUC1ozyw8AoYD/wJNaJ\nfIl4PqFPM8qGZGZm1r1hpPWUp1m1ee4o3MHsdbN58YoXdcW9RnyZQdb70xxlaZbyNEt5mmPXjHJ3\nrJP1ol0fy7BWucgGVgDTqF8eTkQiTHpGOs+/+jx7f9xL16VduW3SbUw6c5KKZDeNC+Rt29RiISIS\nTE7+H0kzyiJhKj0jnZkLZ5KXmle3Lzk7mXm3z2PMyDE2jswZ1IMsIhI8dq2jLCLi0fOvPt+gSAbI\nS81j/vL5No3IGbQOsoiIs6hQjgC1jexihvJsnYqqCvIOuRXJ39XfLK0uDf6AHMBkgaz3pznK0izl\naZby9E1NTQ2FpZ4uBN0yFcoiElR3/c9dFB71/MMqPjo+yKOxl2aQRUSCo7qmmt7zevv8OPUoi0hQ\nlVSUsPbjtcxaNKthj/LXycy7IzJ6lNWDLCLiHE5YR1lEItDBkoN0SmhYASbEJnDFZVcQFRXF/OXz\nKa0uJT46nhl3zAj7IlmrWIiIhBa1XkQA9TGZpTy9U1NTw5hXx5C7P9fj/WNGjmH14tU8NPkhVi9e\nHdZFcjBbLPT+NEdZmqU8zVKewaEZZREJiKioKD6Z/AmxMbF2D8U2mkEWEQlt6lEWESP2FO+hW4du\ndg/DEdSDLCLiPEVlRXSI60B0VMOGCq2jLCIBs6toFze8cwMXLL6A8qpyu4djK61iISLiXAMWDmB3\n0W6fHqNCOQKoj8ks5dnQtPemkXR8EjnTc4iLifP58eGQp5MK5HDI0ymUpVnK0yzl6bvYmFgqqit8\neox6lEWkVT647oMmf8aKFOpBFhEJHScknEBVdZVPj1GPsoh4Le9AHsmdk+0ehu3UgywiEj7Uoywi\nrVZcXsw1b11DSUWJ3UOxjZNaLEREJPBUKEcA9TGZFal5dojrwOc3f05CbILR5w2FPEOpQA6FPEOF\nsjRLeZqlPINDhbKINFFZXcm3+75tst/156mIEUoFsoiImOfk//XUoyxig9XbV3P3mrsZ2HUgy69c\nbvdwbKEeZBGR8FNcXkzbmLZNLoSlHmUR8UppZSlz/jmHx0c8zqsTX7V7OEGnGWQRkfB14zs3su77\ndT49RoVyBFAfk1nhnGd8m3g+uukjxp4xNmhtFk7IM5wKZCfkGS6UpVnK0yzl6bu3J73NJb0v8ekx\nKpRFIlRZZRlf7v7S7mHYKpwKZBERMU89yiIRatv+bfx53Z9ZOn6p3UMJOvUgi4hIrZZ6lFUoi0jE\nUIEsIiKN6WS+CKc+JrNCMc8fDv/Ahr0b7B6GR8HIM5JaLELx/elUytIs5WmW8vTd0YqjlFaW+vQY\nFcoiYexoxVEe/eRRzv7L2azb4duZvuEgkgpkERFp2azVs1ia41u7oVovRMLYD4d/4N4P7+WRtEfo\n3am33cMJGrVYiIhIY7en307/E/tzx5A7GuxvqfWiTRDGJSI26dGxB8smLLN7GEHTuEDetk0FsoiI\nWI5rexwxUTE+PUatFxFAfUxmOTXPHYU7+Of3/7R7GD4zkadaLOo59f0ZipSlWcrTLOXpu8cvfZxb\nB9/q02NUKIuEiYLCAseesBcoKpBFRCSQ1KMsIiFHPcgiImKKlocTCTNr89eSuz/X7mEEnWaQRUQk\nmFQoRwD1MZllZ555B/IYu3wst6y6hZ+O/GTbOEzyJk8VyN7T97s5ytIs5WmW8vRdWWUZR8qP+PQY\nFcoiIeRw+WEu7HUh39z2DReceoHdwwk4FcgiImLKS9kvMXvdbJ8eox5lEXEc9SCLiEiwqEdZJASt\nyVvDVz98ZfcwgkozyCIi4iSBLpR7Ah8Dm4FNwJ2u/Z2BDCAXWAMkBngcEU19TGYFK8+SihKfr0kf\nijIzM1UgG6Tvd3OUpVnK0yzlGRyBvjJfBfA7IAfoAHyFVSBPcX2eA9wL3Of6EBGXcf3G2T2EgMvP\nhzlz4IsvdCU9ERFxnmD3KP8DWOD6uAjYC3QDMoF+jY5Vj7JEhNLKUp7//Hmmpk6lS7sudg8nKNSD\nLCIiwVZeVU5ZZRkd23ZssN8pPcpJQCrwOdAVq0jG9blrEMch4hgfbPuAfgv68a9d/6Kssszu4QSc\nWixERMQu6bnp3PDODT49JliFcgfgLWAmcLjRfTWuDwkQ9TGZZTLPhNgEXh7/Mm9PepuTjzvZ2PM6\nTUsFst6fZilPc5SlWcrTLOXpu9iYWCqqK3x6TKB7lAFisYrkZVitF1DfcrEH6A54vHLC5MmTSUpK\nAiAxMZGUlBTS0tKA+jeItrWtbedun3pqGrNnw5tvZjJ+PGzbltagOLZ7fNrWdkvbtZwynlDfruWU\n8YT6di2njCcUttvFtqNoSxHPPfcchYWFABQUFNCSQPcoRwFLgf1YJ/XVmuPa9yTWSXyJND2ZTz3K\nElae/OxJfn3Wr+mV2MvuoQScepBFRCRUtNSjHOgZ5fOB64ENQLZr3/3AE8AKYBpQAFwd4HGI2K7v\nCX2JjYm1exgB1bhA1ioWIiISyqID/PyfuV4jBetEvlRgNXAAuBToC1wGFAZ4HBGt8Z9ppHX8zXNC\n/wn06NjD7GAcojUn6en9aZbyNEdZmqU8zVKewRHoQlkk4mw/sJ3b0m/TKhYiIiIhLtjrKPtCPcoS\nch795FHmfT6Pu4fezV1D76Jtm7Z2Dykg1IMsIiKhpqq6isPlh0mMb3hBaKesoywS9ob1HMam2zZx\n//D7w7JI1gyyiIiEqvyD+YxcNtKnx6hQjgDqYzIjPSOdUVNGkTI6hVFTRpGekd7kmBGnjaBbh242\njC6wAlkg6/1plvI0R1mapTzNUp6+O/2E0/nyN1/69JhgrKMsEvLSM9KZuXAmeal51uVxkiDrySxe\nqniJq/8jfBdt0SoWIiISydSjLOKFUVNGsSZpTZP9IwtGsmZJ0/2hTj3IIiISKdSjLNIKpZWlHKo4\n5PG+8pryII8msNSDLCIiUk+FcgRQH5N/dhXtYsb7Mzhl7insLdpbf8d39Tfjo+ODP7AAsLNA1vvT\nLOVpjrI0S3mapTx9V1NTw4GSAz49RoWySAu6tOvCv2/5NwtmLCA5O7nBfclfJzPjmhk2jcwMzSCL\niEikKKsqo/sz3X16jHqURYDV21dzSe9LiIuJa/aY9Ix05i+fT2l1KfHR8cy4ZgZjRo4J4ijNUQ+y\niIhEmqrqKmIfjaXqj1W1fclAyz3KWvVCBFi5dSX9uvQjKTGp2WPGjBwTsoVxLa1iISIikSomOoYT\n2p1AVU0VbaK8K4HVehEB1MdUr7i8mN1Fu5vsXzhmYYtFsrtQzNPJLRahmKeTKU9zlKVZytMs5emf\nfffso0209/PEKpQlImw/sJ1p706j57M9eXXjq3YPJ2icXCCLiIg4nXqUJSJ8u+9bVuWu4oZBN4Tl\nlfMaUw+yiIiId1rqUVahLGGluqaa9Nx0ruh7RYNG/UihAllERMQ3uuBIhIukPqYoonhnyzvsL9kf\nsNdwYp6h3GLhxDxDmfI0R1mapTzNUp7+OVhykKrqKq+PV6EsIetgyUH2FO9psC8qKorF4xbTpV0X\nm0YVXKFcIIuIiATbiFdGsLNop9fHO/lv02q9EI/W71nP4589zurtq5k7ai5TU6faPaSgU4uFiIiI\nGVpHWcJKeVU5w08dzqIxi+ic0Nnu4QSV1kEWEREJHrVeRIBQ7WOqqKpg5daVTfYPPnkwtw+53bYi\n2Y48w7nFIlTfn06lPM1RlmYpT7OUZ3CoUBbHioqK4vXNr1NSUWL3UGwTzgWyiIiI06lHWRxhT/Ee\n2kS3iZiT8I5FPcgiIiLmFZUVEd8mnriYuLp9Wh5OHCtrZxZjl4+l/8L+fPb9Z3YPx3aaQRYREQmc\nca+N86neUKEcAZzcx1RRVcHE/hPZ+budjO833u7heCUQeUZygezk92coUp7mKEuzlKdZytM/cTFx\nVFRVeH28CmUJipKKElblrmqy/6Kki5icMpkOcR1sGJX9IrlAFhERCTZfFwJQj7IExdGKo9yafitL\nxi0hOkq/n6kHWURExBla6lFWoSzG7SjcQWJ8IsfHH2/3UBxHBbKIiIiz6GS+CBesPqaMvAxGLhvJ\nuX89l+w92UF5TTv4k6daLJqnPjuzlKc5ytIs5WmW8gwOXZlPjKmoruA35/yGsWeMJb5NvN3DcQRd\nSU9ERCR0qfVCfHao9BBZO7O4/PTL7R6KY6nFQkRExHmOlB8hOiqahNiEun1qvRCjyqvKWZnb9NLS\nohYLERERJ3v4k4f5743/7fXxKpQjQGv6mLb8vKXJJaRPbH8ii8YsauWoQpenPFUg+099dmYpT3OU\npVnK0yzl6Z85I+dw8zk3e328CmXx6O1v3+b8xedz8dKL2bp/q93DcSwVyCIiIuEr0D3Ki4ExwE/A\n2a59nYHXgV5AAXA1UOjhsepRttFb37xFXEwco/uMJjYm1u7hOI56kEVERMKDnT3KS4DRjfbdB2QA\nfYG1rm2xyb4j+8jIy2iy/8oBV/KrM36lIrkRzSCLiIhEjkAXyuuAg432jQWWum4vBcYHeAwRKz0j\nnVFTRpEyOoVRU0aRnpHe5JhDZYf4ZMcnNowutOTlwdSpVoFcUZGpAtkg9dmZpTzNUZZmKU+zlKd/\nSipKKC4v9vp4O9ZR7grsdd3e69oWw9Iz0pm5cCZ5qXlQAyTBN/O+YWH1QsaOGlt3XJ/OffjzJX+2\nbZxOl5dntVi89179Osjr16tAFhERCUULvljA3iN7efqyp706PhjrKCcBK6nvUT4IuJcZB7D6lhtT\nj3IrjJoyijVJa5rsH543nE9f+dSGEYWWxgWyepBFRERC37x/zSP/YD7zLp9Xt6+lHmU7ZpT3At2A\nPUB3rBP9PJo8eTJJSUkAJCYmkpKSQlpaGlD/Jwdte97e++Neaya5N5bvrE/R0dGOGJ9Tt3v2TGP2\nbHjrrUzGj4dt29Lo1Mk549O2trWtbW1rW9v+b+/euJuNX2/koc8fAqCgoICW2DGjPAfYDzyJdSJf\nIp5P6NOMcis0mFH+jrqCedSOUaxevNq2cTmVLzPImZmZdd9w0nrK0yzlaY6yNEt5mqU8zbFz1Yvl\nQBZwBrATmAI8AYwEcoFLXNti2J3X3klydnKDfclfJzPjmhk2jciZak/S++UvoWdPrWIhIiIi9YIx\no+wvzSj7qTa39z98n/nL51NaXUp8dDwzrpnBmJFjbB6dM6gHWURERKDlGWUVymFo+cblbPppE7NH\nzLZ7KI6jAllERETc2dl6ITaY0H8Ctw6+tW67tpE9kplssVCeZilPs5SnOcrSLOVplvL0T3lVOYdK\nD3l9vArlMBTfJp5TjjvF7mE4gnqQRUREpFZmQSbT06d7fbxaLyQsqcVCREREvKHWiwhwuOyw3UNw\nBM0gi4iIiCkqlMPAlp+30H9h/2Z7biKhjymYBXIk5BlMytMs5WmOsjRLeZqlPIPDjivziUElFSVM\nenMSf7zojxwff7zdwwm6xi0W27Zp9lhERETMUI9yiNtdtJsXv3qRh9Meru2xiQjqQRYRERFfVVZX\nUlRWROeEznX71KMcxk4+7mQeufiRiCmS1YMsIiIi/try8xaGLxnu9fEqlCNAOPQxOalADoc8nUR5\nmqU8zVGWZilPs0znuWvXLsaNG0ffvn3p06cPs2bNoqKiAoCjR49y3XXXMXDgQM4++2yGDx/O0aNH\nAYiJiSE1NZWBAwcyceJEiouLWz2WF154gYEDB5KamsrQoUNZv349ADk5OQwbNoyzzjqLQYMGsWLF\nCp+fOy4mjoqqCq+PV6EsjuakAllERCQc1dTUMHHiRCZOnEhubi65ubkUFxfz4IMPAjBv3jy6d+/O\nhg0b2LhxI4sXL6ZNG+s0t3bt2pGdnc2GDRs47rjjePHFF1s9nuuuu44NGzaQnZ3NAw88wN133w1A\n+/btWbZsGZs2bWL16tXMmjWLoqIin567bUxbOsR18Pp4Fcoh6Omsp/l237deH5+Wlha4wQSIkwvk\nUMzTyZSnWcrTHGVplvI0y2SeH330EQkJCdx0000AREdH8+yzz7J48WJKSkrYs2cPPXr0qDv+9NNP\nJy4ursnzDB06lLy8vFaPp2PHjnW3i4uL6dKlS93rJicnA9C9e3dOOukk9u3b59Nz90rsxde//drr\n47XqRQjqndibk9qfZPcwAkKrWIiIiATX5s2bOffccxvs69ixI6eeeip5eXlMnTqVyy67jDfffJMR\nI0Zw00030adPnwbHV1VVsWbNGkaMGOHxNS688EIOH256zYdnnnmGSy65pMn+RYsWMXfuXI4cOUJW\nVlaT+7/44gsqKirqCudA0YxyCLpywJWc0O4Er48Phb4wJ88gNxYKeYYS5WmW8jRHWZqlPM0ymeex\nFgQYNGgQ+fn53HPPPRw4cIDBgwezdetWAEpKSkhNTaV79+7s3LmT6dM9Xx76008/JTs7u8mHpyIZ\n4LbbbmP79u3MnTuXqVOnNrjvxx9/5MYbb2TJkiV+fLW+UaEstgqlAllERCQcDRgwgK+++qrBvqKi\nIr7//vu6meP27dszYcIEFi5cyPXXX096ejoACQkJZGdns2PHDuLj43n33Xc9vsbw4cNJTU1t8rF2\n7doWxzZp0iS+/rq+VaKoqIgrrriCxx57jCFDhrTmy/aKk9cU0zrKYUzrIIuIiDjH4MGDufPOO7nh\nhhuoqqpi+vTpJCYm8tRTT5GVlUX//v3p1KkT5eXlXH755dx+++1MnDiRjh071rVU5OTkcO2117J5\n8+ZWLVu7ffv2ugJ95cqVzJkzh3Xr1tW99tixY5k5c6Zfz11TU8PPR3/mxPYn1u3TOsohbm3+Wma8\nP8PuYRihGWQRERHneeedd3jjjTfo27cvZ5xxBu3ateOxxx4DIC8vj7S0NAYOHMg555zD4MGDmThx\nItCwbSMlJYU+ffr4tWybuwULFnDWWWeRmprK/Pnz61osVqxYwbp163j55ZfrZqQ3bNjg03PXUMOZ\ni87E28lYzSg73N7ivZzz13NYOn4pl552qV/PkZmZafvZxuE0g+yEPMOJ8jRLeZqjLM1SnmYpT3Na\nmlHWqhcO99a3bzElZYrfRbLdtIqFiIiIhCrNKIeAmpqakLtEdTjNIIuIiEj40oxyiAulIlkzyCIi\nIhIudDJfBAjG2pWRdJKe1gI1S3mapTzNUZZmKU+zlKf/9h/dT1V1lVfHqlB2mJqaGlblrvL6bEy7\nRVKBLCIiIqEv5cUUdh/e7dWxTv6bfkT2KB8oOcA9a+7hhSteIDYm1u7hNEs9yCIiIhKKkp9PZs31\na0jubF3+Wj3KIaRzQmdeGveS3cNolnqQRUREJJR1bd+V6ppqr45V60UEMNHHpBaLeuoLM0t5mqU8\nzVGWZilPs5Sn/7KmZXH6Cad7daxmlKVFmkEWERGRSKUeZQd4fdPr9OvSj0HdBtk9lDrqQRYREZFI\n0FKPslovbLZx70bu+OAO2rZpa/dQALVYiIiIiNRSoWyjmpoabl55M89c9gz9uvQL2Ot408ekAtl7\n6gszS3mapTzNUZZmKU+zlKf/CksLKass8+pYFco2ioqK4r1fv8eNg260bQwqkEVERCSS/HbVb8na\nmeXVsepRjlDqQRYRERHROsriRqtYiIiIiHjHztaL0cAWYBtwr43jCKrSylIOlR4K6mtmZmaqxcIg\n9YWZpTzNUp7mKEuzlKdZyjM47CqUY4AFWMXyAOAaoL9NYwmqd7e8y58y/xS018vLgz/8IUcFskE5\nOTl2DyGsKE+zlKc5ytIs5WmW8gwOu1ovhgDbgQLX9mvAOOBbm8YTNJPOmsSVA64M+Ou4t1iceWah\nWiwMKiwstHsIYUV5mqU8zVGWZilPs5Sn/w6XHSYmOoZ2se2OeaxdM8onAzvdtne59kWENtGBAtKk\njAAAB5dJREFU+/3EU4vFxRerSBYREREB+P2a3/PK+le8OtauGWUtZ2FYSyfpFRQU2Dq2cKM8zVKe\nZilPc5SlWcrTLOXpv7iYOCqqKrw61q7l4c4DHsLqUQa4H6gGnnQ7ZjuQHNxhiYiIiEiEWQ+k2D0I\nd22APCAJiANyiJCT+UREREREjuVyYCvWzPH9No9FRERERERERERERELNEOALIBv4Ehjsdt/9WBcn\n2QJcFvyhhaTXsLLMBr5zfa6lPP0zA2sZw0007KlXnr55CGu1m9r35+Vu9ylL/92Ndb5HZ7d9ytN3\nj2L1LOYAa4GebvcpT988hfUzcz3wNnC8233K0ndXAZuBKuCcRvcpzwiQCYxy3b4c+Nh1ewDWD6xY\nrL7m7dh7VcFQ9DTwn67bytM/FwMZWLkBnOj6rDx99yfgLg/7laX/egKrsX4pri2Ulad/OrrdngH8\nzXVbefpuJPUZPeH6AGXpr35AX6z6yL1QVp4B4rQQf6T+t81EYLfr9jhgOVCBdZGS7Vizz+KdKOBq\nrAxBefrrVuBxrNwA9rk+K0//eFp1R1n6by7wh0b7lKd/Drvd7gD87LqtPH2XgfVXDoDPgVNct5Wl\nf7YAuR72K88AcVqhfB/wDPA91p9rak/y64H1Z9paEXWBEgOGA3uxVhoB5emv04ELgX9h/fXjF679\nytM/M7D+HPsS1i/GoCz9NQ4rqw2N9itP/83G+r9oMtYvyKA8W2sq8L7rtrI0S3kGiB0XHMkAunnY\n/yBwp+vjHaw+nMVYf7bxRBctsTSX5wPAStfta4BXj/E8ytPS0vuzDdAJax3wwcAK4LRmnkd5tpzl\nX4BHXNuPYv2CPK2Z51GWlpbyvJ+GPYktrZGvPC3H+tn5oOvjPuA5YEozz6M8vft/6EGgnJb/L1KW\nFm/y9IbyNMCOQrm5whfg78ClrttvUt8XtpuGJ1OcQn1bRqRrKU+w/o0n0LCXSXk2r6U8b8U6GQWs\nk02rgS4oz+Yc671Z62/U//BXls1rLs+zgN5Ys/NgZfYV8EuUZ0u8fX++Sv0sqPL07FhZTgb+Axjh\ntk9ZNs/b96Y75RkhvgYuct0egVWMQH2TehzWfwh52HdVwVAzmvqTImspT//8FnjYdbsv1p9lQXn6\no7vb7d9RP8ukLFvP08l8ytM3p7vdngEsc91Wnr4bjbVKQ5dG+5Vl63wMnOu2rTwjxC+wmv1zgP8F\nUt3uewCrOX0L9StjyLEtAW7xsF95+i4W6z/MjVgzdmlu9ylP37yC1U+7HvgH0NXtPmXZOvk0XB5O\nefruTazv8xzgLeAkt/uUp2+2ATuoXwpykdt9ytJ3E4CdQAmwB/jA7T7lKSIiIiIiIiIiIiIiIiIi\nIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiISeYoD8Jy9sC4r70kS1vq9gfIycGUz9z1Nw7XBa6VR\nf+XEycA+rPVwNwFvAAmu+x4CdlG/Xu5jrv1TqV8zeyPwK9f+ucBw378EEZHgibZ7ACIiDlYTgOfs\nDVwbgOf1Rg2ev6aOwIVAphePX451MaizgHJgktt9c133pWJd/OAU1+fzgUFYl9Wu/UXgL8A9/n0Z\nIiLBoUJZROTY0rCKyDeAb4G/u91XADyJNWv6OZDs2v8yDWdvD7s+P4E1k5oNzPTy9c91vf6/gdVA\nN6Cf6/VqJbnG0NzxtTxd1nYc8KHb9misr/MrrCuBuT+29vFtgPbAgRae+ySsr/uIa/soVl5gXbEt\nCUj0MB4REUdQoSwi4p0UrMJ2AHAaMMy1vwYoBAYCC4Dn3PZ7ci+wDmvWdZ4XrxsLzMcqun+BdVn6\n2ViXqY3DKjbBmtl9DauA9XR8S87HKqoB4oG/AldgFdzdGn0tk7CK/F1AJ2CVa38U8DvqWy9GYl0C\nei/wHbDY9ZzusoGhxxibiIhtVCiLiHjnC+AHrKIxh/oCFax2BLAK1WMVfp5mdFtyBnAm1oxvNvAg\ncLLrvhXUtz5cDbyONdPc3PHN6QX86LrdD6uwzXNt/73RmF/DKvK7YfUp17ZPNG69yACqsWan/x+Q\nCzwL/MntuX6gYY4iIo7Sxu4BiIiEiDK321U0//Ozdva1kvrJiGis2V9/baZ+Btvd61jtIG+7XjcP\nOLuF41vS3MRJ48LefXsVcAdW64mnY2t96frIwJrhftjt+ED0gYuIGKEZZRGR1pvk9jnLdbsAq3UB\nYCxWCwVYPbsdfXjuXOBE4DzXdixW+wdAPlbR/l9YM70AW1s4vjk7qO9j3oI1y3uaa7u5FToALgC2\nu257KpK7A+e4badS36Nce7/7toiIo6hQFhFpXk0ztxvrhLX82QysPl2A/w9chNWmcR71S82txypu\nc/B8Mt8ZwE63j19htS486XpM477e14HrsNowwFqJoqXjPX0dn2H1MwOUArcA6Vgn8+11e0wN9T3K\n67FWsnjU7b7Gzx0LPIV1YmA2cFWjrzkV+F8P4xERERGRMPAd0NnuQbRSB6zWiGDqC7wX5NcUEfGJ\nZpRFRFonHHpsi4GPgYuD+JrTgTlBfD0RERERERERERERERERERERERERERERERERERERERERERER\nERERERERCU3/B4+zCRihI3MWAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Realize the NTF and map it to an equivalent discrete-time structure\n", "\n", "Performed in two steps:\n", "\n", " * We call `realizeNTF_ct` to realize an NTF with a continuous-time loop filter, obtaining ABCD matrix and DAC timings. \n", "\n", " * We map the synthesized NTF to a discrete-time equivalent. The criterion for equivalence is set in `mapCtoD`: the sampled pulse response of the CT system must be identical to the impulse response of the DT system." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Mapping to continuous-time... ',\n", "ABCDc, tdac2 = realizeNTF_ct(ntf0, form, tdac)\n", "Ac, Bc, Cc, Dc = partitionABCD(ABCDc)\n", "sys_c = []\n", "for i in range(Bc.shape[1]):\n", " sys_c.append(ss2zpk(Ac, Bc, Cc, Dc, input=i))\n", "print 'done.'\n", "print 'ABCD matrix:'\n", "print ABCDc\n", "print \"DAC timing (tdac2):\"\n", "print tdac2" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Mapping to continuous-time... " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "done.\n", "ABCD matrix:\n", "[[ 0. 0. 0. 0.04440879 -0.04440879]\n", " [ 1. 0. -0.00578297 0. -0.23997611]\n", " [ 0. 1. 0. 0. -0.67004646]\n", " [ 0. 0. 1. 0. 0. ]]\n", "DAC timing (tdac2):\n", "[[-1. -1.]\n", " [ 0. 1.]]\n" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=plotsize)\n", "n_imp = 10\n", "y = -impL1(ntf0, n_imp)\n", "lollipop(np.arange(n_imp + 1), y)\n", "hold(True)\n", "grid(True)\n", "dt = 1./16\n", "tppulse = np.vstack((np.zeros((1, 2)), tdac2[1:, :])).tolist()\n", "yy = -pulse(sys_c, tppulse, dt, n_imp).squeeze()\n", "t = np.linspace(0, n_imp + dt, 10/dt + 1)\n", "plot(t, yy, 'g', label='continuous-time')\n", "legend()\n", "title('Loop filter pulse/impulse responses (negated)');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA2IAAAHpCAYAAADgR4+gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "sys_d, Gp = mapCtoD(ABCDc, tdac2)\n", "ABCD = np.vstack((\n", " np.hstack((sys_d[0], sys_d[1])),\n", " np.hstack((sys_d[2], sys_d[3]))\n", " ))\n", "ntf, G = calculateTF(ABCD)\n", "ntf = cancelPZ(ntf)\n", "figure(figsize=plotsize)\n", "DocumentNTF(ntf0, osr, f0)\n", "subplot(121)\n", "plotPZ(ntf, 'c', 10)\n", "hold(True)\n", "plotPZ(ntf0, 'k')\n", "hold(False)\n", "\n", "L0 = sys_c[0]\n", "f = linspace(0, 0.5)\n", "G = evalTFP(L0, ntf, f)\n", "subplot(122)\n", "hold(True)\n", "plot(f, dbv(G), 'm')\n", "hold(False)\n", "title('NTF and STF');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsgAAAFfCAYAAABTIDoQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Re-evaluating the SNR... ',\n", "snrR, ampR = simulateSNR(ABCD, osr, None, f0, nlev)\n", "print 'done'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Re-evaluating the SNR... " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "done\n" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=plotsize)\n", "plot(ampR, snrR, 'o-')\n", "hold(True)\n", "plot(amp, snr, '-')\n", "peak_snrR, peak_ampR = peakSNR(snrR, ampR)\n", "msg = 'Peak SNR %.1fdB at amp = %-.1fdB' % (peak_snrR, peak_ampR)\n", "text(peak_ampR - 10, peak_snrR, msg, horizontalalignment='right', verticalalignment='center');\n", "figureMagic([-100, 0], 10, 1, [0, 100], 10, 1, None,'SQNR vs. Input Amplitude')\n", "xlabel('Input Amplitude (dBFS)')\n", "ylabel('SNR (dB)')\n", "title('Continuous-Time Implementation');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA3EAAAH4CAYAAADkVGR1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEREREZEM+z/Gwjzvr4nIPQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dynamic range scaling" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Doing dynamic range scaling... ',\n", "ABCDs, umax, S = scaleABCD(ABCD, nlev, f0, 1, None, None, 10000.0)\n", "S = S[:order, :order]\n", "Sinv = inv(S)\n", "Acs = np.dot(np.dot(S, Ac), Sinv)\n", "Bcs = np.dot(S, Bc)\n", "Ccs = np.dot(Cc, Sinv)\n", "ABCDcs = np.vstack((np.hstack((Acs, Bcs)),\n", " np.hstack((Ccs, Dc))\n", " ))\n", "sys_cs = (Acs, Bcs, Ccs, Dc)\n", "print 'Done.'\n", "print \"During scaling, umax was found to be %g\"% umax\n", "print \"Scaled ABCD matrix:\"\n", "print ABCDcs" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Doing dynamic range scaling... Done.\n", "During scaling, umax was found to be 0.78\n", "Scaled ABCD matrix:\n", "[[ 0. 0. 0. 0.16352917 -0.16352917]\n", " [ 0.29968154 0. -0.01756686 0. -0.26482215]\n", " [ 0. 0.32919785 0. 0. -0.24341548]\n", " [ 0. 0. 2.75268628 0. 0. ]]\n" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Conclusions: synthesis results\n", "\n", "The ADC parameters were found to be:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "adc = {\n", " 'order':order,\n", " 'osr':osr,\n", " 'M':M,\n", " 'f0':f0,\n", " 'ntf':ntf,\n", " 'ABCD':ABCD,\n", " 'umax':umax,\n", " 'peak_snr':peak_snr,\n", " 'form':form,\n", " 'ABCDc':ABCDc,\n", " 'tdac':tdac,\n", " 'tdac2':tdac2,\n", " 'L0':L0,\n", " 'sys_c':sys_c,\n", " 'ABCDcs':ABCDcs,\n", " 'sys_cs':sys_cs\n", "}\n", "for k in sort(adc.keys()):\n", " print \"%s:\" % k,\n", " if str(adc[k]).count('\\n'):\n", " print \"\"\n", " print adc[k]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "ABCD: \n", "[[ 1. 0. 0. 0.04440879 -0.04440879]\n", " [ 0.99903645 0.99710991 -0.0057774 0.0221937 -0.26000208]\n", " [ 0.49975909 0.99903645 0.99710991 0.00739932 -0.79673041]\n", " [ 0. 0. 1. 0. 0. ]]\n", "ABCDc: \n", "[[ 0. 0. 0. 0.04440879 -0.04440879]\n", " [ 1. 0. -0.00578297 0. -0.23997611]\n", " [ 0. 1. 0. 0. -0.67004646]\n", " [ 0. 0. 1. 0. 0. ]]\n", "ABCDcs: \n", "[[ 0. 0. 0. 0.16352917 -0.16352917]\n", " [ 0.29968154 0. -0.01756686 0. -0.26482215]\n", " [ 0. 0.32919785 0. 0. -0.24341548]\n", " [ 0. 0. 2.75268628 0. 0. ]]\n", "L0: (array([], dtype=float64), array([-0.+0.07604585j, 0.-0.07604585j, 0.+0.j ]), 0.044408788405152069)\n", "M: 1\n", "f0: 0.0\n", "form: FB\n", "ntf: (array([ 0.99710991+0.07597258j, 0.99710991-0.07597258j, 1.00000000+0.j ]), array([ 0.76451468+0.28005204j, 0.76451468-0.28005204j, 0.66846004+0.j ]), 1.0)\n", "order: 3\n", "osr: 32\n", "peak_snr: [[ 70.50168227]]\n", "sys_c: [(array([], dtype=float64), array([-0.+0.07604585j, 0.-0.07604585j, 0.+0.j ]), 0.044408788405152069), (array([-0.17907423+0.18495837j, -0.17907423-0.18495837j]), array([-0.+0.07604585j, 0.-0.07604585j, 0.+0.j ]), -0.67004646290976189)]\n", "sys_cs: \n", "(array([[ 0. , 0. , 0. ],\n", " [ 0.29968154, 0. , -0.01756686],\n", " [ 0. , 0.32919785, 0. ]]), array([[ 0.16352917, -0.16352917],\n", " [ 0. , -0.26482215],\n", " [ 0. , -0.24341548]]), array([[ 0. , 0. , 2.75268628]]), array([[ 0., 0.]]))\n", "tdac: [0, 1]\n", "tdac2: \n", "[[-1. -1.]\n", " [ 0. 1.]]\n", "umax: 0.78\n" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System version information" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n", "%load_ext version_information\n", "%reload_ext version_information\n", "\n", "%version_information numpy, scipy, matplotlib, deltasigma" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2]
IPython2.1.0
OSposix [linux2]
numpy1.8.1
scipy0.14.0
matplotlib1.3.1
deltasigma0.1-4
Tue Jun 24 18:05:55 2014 CEST
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2]\", \"module\": \"Python\"}, {\"version\": \"2.1.0\", \"module\": \"IPython\"}, {\"version\": \"posix [linux2]\", \"module\": \"OS\"}, {\"version\": \"1.8.1\", \"module\": \"numpy\"}, {\"version\": \"0.14.0\", \"module\": \"scipy\"}, {\"version\": \"1.3.1\", \"module\": \"matplotlib\"}, {\"version\": \"0.1-4\", \"module\": \"deltasigma\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2] \\\\ \\hline\n", "IPython & 2.1.0 \\\\ \\hline\n", "OS & posix [linux2] \\\\ \\hline\n", "numpy & 1.8.1 \\\\ \\hline\n", "scipy & 0.14.0 \\\\ \\hline\n", "matplotlib & 1.3.1 \\\\ \\hline\n", "deltasigma & 0.1-4 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Tue Jun 24 18:05:55 2014 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "Software versions\n", "Python 2.7.7 (default, Jun 3 2014, 23:36:29) [GCC 4.8.2]\n", "IPython 2.1.0\n", "OS posix [linux2]\n", "numpy 1.8.1\n", "scipy 0.14.0\n", "matplotlib 1.3.1\n", "deltasigma 0.1-4\n", "Tue Jun 24 18:05:55 2014 CEST" ] } ], "prompt_number": 17 } ], "metadata": {} } ] }