{ "metadata": { "name": "Usage_Autocorrelation" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Checking Autocorrelation of Electricity Usage" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This iPython notebook composed by Justin Elszasz.\n", "\n", "The easiest way to forecast electricity consumption is just by looking at the previous values. This notebook takes a look at how electricity consumption relates to that of previous hours." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd\n", "import numpy as np\n", "import import_funcs\n", "from matplotlib import pyplot as plt\n", "from pandas.tools.plotting import autocorrelation_plot\n", "import statsmodels.api as sm" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "gray_light = '#d4d4d2'\n", "gray_med = '#737373'\n", "red_orange = '#ff4400'\n", "blue_light = '#00d2ff'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "# Import the BGE hourly electricity data and weather data using import_funcs.py class\n", "elec_data = import_funcs.BGEdata()\n", "weather = import_funcs.weather()\n", "\n", "# Merge into one Pandas dataframe\n", "elec_and_weather = pd.merge(weather,elec_data,left_index=True,right_index=True)\n", "\n", "# Clean up a bit\n", "del elec_and_weather['tempm'], elec_and_weather['COST'], elec_and_weather['NOTES'], elec_and_weather['UNITS'], elec_and_weather['TYPE']\n", "del elec_and_weather['precipm']\n", "\n", "elec_and_weather['wspdMPH'] = elec_and_weather['wspdm'] * 0.62\n", "del elec_and_weather['wspdm']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "# Add historic usage to each X vector\n", "\n", "# Set number of hours prediction is in advance\n", "n_hours_advance = 1\n", "\n", "# Set number of historic hours used\n", "n_hours_window = 48\n", "\n", "# need to do this for range function\n", "#n_hours_window += 1\n", "\n", "for k in range(n_hours_advance,n_hours_advance+n_hours_window):\n", " \n", " elec_and_weather['USAGE_t-%i'% k] = np.zeros(len(elec_and_weather['USAGE']))\n", " elec_and_weather['tempF_t-%i'% k] = np.zeros(len(elec_and_weather['tempF']))\n", " elec_and_weather['hum_t-%i'% k] = np.zeros(len(elec_and_weather['hum']))\n", " elec_and_weather['wspdMPH_t-%i'% k] = np.zeros(len(elec_and_weather['wspdMPH']))\n", " \n", " \n", "for i in range(n_hours_advance+n_hours_window,len(elec_and_weather['USAGE'])):\n", " \n", " for j in range(n_hours_advance,n_hours_advance+n_hours_window):\n", " \n", " elec_and_weather['USAGE_t-%i'% j][i] = elec_and_weather['USAGE'][i-j]\n", " elec_and_weather['tempF_t-%i'% j][i] = elec_and_weather['tempF'][i-j]\n", " elec_and_weather['wspdMPH_t-%i'% j][i] = elec_and_weather['wspdMPH'][i-j]\n", " elec_and_weather['hum_t-%i'% j][i] = elec_and_weather['hum'][i-j]\n", "\n", "elec_and_weather = elec_and_weather.ix[n_hours_advance+n_hours_window:]\n", " \n", " \n", "#print elec_and_weather['USAGE_t-3'][:10]\n", "# Yesterday's total kWh\n", "\n", "elec_and_weather = elec_and_weather['18-jan-2014 00:00:00':'31-mar-2014 23:00:00']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "An autocorrelation plot charts the ratio of the average autocovariance for a given time lag (here in hours) to the variance." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "plot = autocorrelation_plot(elec_and_weather['USAGE'])\n", "fig.savefig('Elec_Autocorrelation.png')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEMCAYAAADEXsFmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6WGyeQAAAABJRU5ErkJggg==\n" } ], "prompt_number": 70 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following lag plots show the relationship between each hourly usage and the usage at a previous time step." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# 1 hour lag\n", "model = sm.OLS(elec_and_weather['USAGE'],sm.add_constant(elec_and_weather['USAGE_t-1']))\n", "res = model.fit()\n", "print res.summary()\n", "\n", "fig = plt.figure(figsize=[5,5])\n", "p1= plt.plot(elec_and_weather['USAGE_t-1'],elec_and_weather['USAGE'],'.',color=gray_light,alpha=1.0,markersize=8)\n", "#p2= plt.plot([0,4],[0,4],'k')\n", "# only plotting first and last point in linear fit to display clean line\n", "plot_model = plt.plot([min(elec_and_weather['USAGE_t-1']),max(elec_and_weather['USAGE_t-1'])],[min(res.fittedvalues),max(res.fittedvalues)],label='OLS $R^2$=%.2f' % res.rsquared,linewidth=1,color=red_orange)\n", "plt.xlabel('Elec. Usage at Time $t-1$ hour (kWh)')\n", "plt.ylabel('Elec. Usage at Time $t$ (kWh)')\n", "legend(loc=\"lower right\")\n", "\n", "fig.savefig('Elec_Lag_1hour.png')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: USAGE R-squared: 0.943\n", "Model: OLS Adj. R-squared: 0.943\n", "Method: Least Squares F-statistic: 2.835e+04\n", "Date: Tue, 13 May 2014 Prob (F-statistic): 0.00\n", "Time: 20:37:31 Log-Likelihood: 429.95\n", "No. Observations: 1701 AIC: -855.9\n", "Df Residuals: 1699 BIC: -845.0\n", "Df Model: 1 \n", "==============================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const 0.0398 0.009 4.230 0.000 0.021 0.058\n", "USAGE_t-1 0.9717 0.006 168.386 0.000 0.960 0.983\n", "==============================================================================\n", "Omnibus: 215.819 Durbin-Watson: 2.401\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 1771.927\n", "Skew: 0.287 Prob(JB): 0.00\n", "Kurtosis: 7.967 Cond. No. 4.41\n", "==============================================================================\n" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAVIAAAFICAYAAAACmHYSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wFx33l31NWSBgAAAABJRU5ErkJggg==\n" } ], "prompt_number": 64 }, { "cell_type": "code", "collapsed": false, "input": [ "# 6 hour lag\n", "model = sm.OLS(elec_and_weather['USAGE'],sm.add_constant(elec_and_weather['USAGE_t-6']))\n", "res = model.fit()\n", "print res.summary()\n", "\n", "fig = plt.figure(figsize=[5,5])\n", "p1= plt.plot(elec_and_weather['USAGE_t-6'],elec_and_weather['USAGE'],'.',color=gray_light,alpha=1.0,markersize=8)\n", "#p2= plt.plot([0,4],[0,4],'k')\n", "# only plotting first and last point in linear fit to display clean line\n", "plot_model = plt.plot([min(elec_and_weather['USAGE_t-6']),max(elec_and_weather['USAGE_t-6'])],[min(res.fittedvalues),max(res.fittedvalues)],'b',label='OLS $R^2$=%.2f' % res.rsquared,linewidth=1,color=red_orange)\n", "plt.xlabel('Elec. Usage at Time $t-6$ hours (kWh)')\n", "plt.ylabel('Elec. Usage at Time $t$ (kWh)')\n", "legend(loc=\"lower right\")\n", "\n", "fig.savefig('Elec_Lag_6hour.png')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: USAGE R-squared: 0.840\n", "Model: OLS Adj. R-squared: 0.840\n", "Method: Least Squares F-statistic: 8894.\n", "Date: Tue, 13 May 2014 Prob (F-statistic): 0.00\n", "Time: 21:11:43 Log-Likelihood: -456.90\n", "No. Observations: 1701 AIC: 917.8\n", "Df Residuals: 1699 BIC: 928.7\n", "Df Model: 1 \n", "==============================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const 0.1137 0.016 7.148 0.000 0.082 0.145\n", "USAGE_t-6 0.9180 0.010 94.310 0.000 0.899 0.937\n", "==============================================================================\n", "Omnibus: 152.876 Durbin-Watson: 0.665\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 875.978\n", "Skew: -0.177 Prob(JB): 6.08e-191\n", "Kurtosis: 6.498 Cond. No. 4.42\n", "==============================================================================\n" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAVIAAAFICAYAAAACmHYSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npZlQQ0qhUCjNhBpSCoVCaSb/B+6/xXqNoXK1AAAAAElFTkSuQmCC\n" } ], "prompt_number": 65 }, { "cell_type": "code", "collapsed": false, "input": [ "# 12 hour lag\n", "model = sm.OLS(elec_and_weather['USAGE'],sm.add_constant(elec_and_weather['USAGE_t-12']))\n", "res = model.fit()\n", "print res.summary()\n", "\n", "fig = plt.figure(figsize=[5,5])\n", "p1= plt.plot(elec_and_weather['USAGE_t-12'],elec_and_weather['USAGE'],'.',color=gray_light,alpha=1.0,markersize=8)\n", "#p2= plt.plot([0,4],[0,4],'k')\n", "# only plotting first and last point in linear fit to display clean line\n", "plot_model = plt.plot([min(elec_and_weather['USAGE_t-12']),max(elec_and_weather['USAGE_t-12'])],[min(res.fittedvalues),max(res.fittedvalues)],'b',label='OLS $R^2$=%.2f' % res.rsquared,linewidth=1,color=red_orange)\n", "plt.xlabel('Elec. Usage at Time $t-12$ hours (kWh)')\n", "plt.ylabel('Elec. Usage at Time $t$ (kWh)')\n", "legend(loc=\"lower right\")\n", "\n", "fig.savefig('Elec_Lag_12hour.png')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: USAGE R-squared: 0.768\n", "Model: OLS Adj. R-squared: 0.768\n", "Method: Least Squares F-statistic: 5629.\n", "Date: Tue, 13 May 2014 Prob (F-statistic): 0.00\n", "Time: 21:11:57 Log-Likelihood: -770.34\n", "No. Observations: 1701 AIC: 1545.\n", "Df Residuals: 1699 BIC: 1556.\n", "Df Model: 1 \n", "==============================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const 0.1644 0.019 8.564 0.000 0.127 0.202\n", "USAGE_t-12 0.8803 0.012 75.026 0.000 0.857 0.903\n", "==============================================================================\n", "Omnibus: 137.460 Durbin-Watson: 0.432\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 780.046\n", "Skew: 0.024 Prob(JB): 4.12e-170\n", "Kurtosis: 6.317 Cond. No. 4.45\n", "==============================================================================\n" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAVIAAAFICAYAAAACmHYSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXl8VNXd/z/3zkIyw5KQZAg7gRZFKwUXsCwSlWpLS+lT\nbd0KFqlSoShFW7VqFdvys7YWl1aKWBVEtE/VWsBata2xiBS02orI8ghhUSGThAmEmUlmu78/hnPn\n3HPPXWZLZibn/Xr5kiR37j1zZ+Yz3/NdJUVRFAgEAoEgY+TuXoBAIBAUO0JIBQKBIEuEkAoEAkGW\nCCEVCASCLBFCKhAIBFkihFQgEAiypMuEtKOjAxMnTsS4ceNw7rnnYvny5bpjGhoa0K9fP4wfPx7j\nx4/Hz372s65ankAgEGSMs6suVFZWhtdffx0ejwednZ0466yzMHPmTHzmM5/RHDdt2jSsX7++q5Yl\nEAgEWdOlW3uPxwMAOHHiBGKxGHr16qU7RtQHCASCYqPLLFIASCQSGD9+PHbs2IEHHngAQ4cO1fxd\nkiS89dZbGDduHC644AIsXLgQo0aN0h0jEAgE+SBjQ07pBhobG5UxY8Yo7777rub3x48fV4LBoBKJ\nRJRVq1YpX/nKV3SP7aYl2+auu+7q7iWYUsjrK+S1KYpYX7YU+vqy0ZZuidqPGDECM2bMwNatWzW/\n79OnDzweD1wuF+bNm4e3334bnZ2d3bFEgUAgsE2XCWlLSwva2toAAK2trXj11Vcxa9YszTFNTU2q\nab1hwwaMHTuW60cVCASCQqLLfKSHDx/G1VdfjXg8jtraWtx8880YOHAgVq5cCQCYP38+nnvuOaxY\nsQJOpxNjx47F/fff31XLyxn19fXdvQRTCnl9hbw2QKwvWwp9fdkgKUpxhcklSRKRfYFAkHOy0RZR\n2SQQCARZIoRUIBAIskQIqUAgEGSJEFKBQCDIEiGkAoFAkCVCSAUCgSBLhJAKBAJBlgghFQgEgiwR\nQioQCARZIoRUIBAIskQIqUAgEGSJEFKBQCDIEiGkAoFAkCVCSAUCgSBLhJAKBAJBlgghFQgEgiwR\nQioQCARZIoRUIBAIskQIqUAgEGRJlw2/EwgEAiP8/iYEg0F4vV74fAO6ezlpI4RUIBB0K35/E9ra\nAohGo4hGIwBQdGIqtvYCgaBbCQaDiEajAIBoNIpgMNjNK0ofIaQCgaBb8Xq9cLlcAACXywWv19vN\nK0ofsbUXCHoAheyDJOsp1PXZQVIURenuRaSDJEkosiULBN0K7YN0uVyoqKjMiVgVsjhnQjbaIixS\ngaDEyYcPshQCRLlE+EgFghIn1z5Iv78Jra0tRR8gyiXCIhUISpxMfZC8rTuxRBOJhHocLc6ltt23\ni/CRCgQ9FDPRY/2qLpcbABCJRBCLRdXjZFlGVVU1fL4BqqWaSCQ0v2evRyg0sRU+UoFAkBZWPk7W\nrxqLxaAoCmRZhizLSCQSusAVbakmEgm0tQV0liw5Z/K8peNbFUIqEPRArAJQXq8X0WgE0WhUY6kR\nAS0rK9dZlKwxF4vF0di4D16vV3M9Qin5Vrss2NTR0YGJEydi3LhxOPfcc7F8+XLucbfddhtGjhyJ\ns846C7t27eqq5QkEPQqrAJTPNwAVFZXweLwoL/dojq2oqERd3Ujdtp1FkoBQKIi2toD6WJpiTb7n\n0aU+0lAoBI/Hg87OTpx11ll48cUX8ZnPfEb9+7Zt27BkyRKsX78er7zyCp5++mls3LhRu2DhIxUI\nckI6gSG7/lRZluFwOABAY4F6PF7VMiUIH2mGeDweAMCJEycQi8XQq1cvzd+3bt2KSy+9FP3798cV\nV1yBO+64oyuXJxCULDwhJAGiQCCAtrYAKioqAfCj+2aCR2/bE4mEuu2ng1WFJpq5pkuFNJFIYPz4\n8dixYwceeOABDB06VPP3bdu2Yfbs2erPNTU12Lt3L0aNGqU57u6771b/XV9fj/r6+nwuWyAoaowC\nS3SUHQCam/1qICmdQBDtT5Vl+eRjvaioqCzoVKiGhgY0NDTk5FxdKqSyLOO///0v9u/fjxkzZmDy\n5MkYP368+ndFUXSmtSRJuvPQQioQlBq5zsWko+V0gCcQ0OaDAlB/NgsEsesja0yeL45oNKpauHV1\nI7Nef75gjbClS5dmfK5uqWwaMWIEZsyYga1bt2p+P3HiRHz44Yfqz83NzRg5snBfCIEg1xDrkQRp\neEGcdM8Xj8fVn2VZhtfrhd/fhEQirjtelpOSYBQIYtfX2LgPu3fvUgNKdoS4FOkyIW1paUFbWxsA\noLW1Fa+++ipmzZqlOWbixIl4/vnn0drainXr1mHMmDFdtTyBoCDIZV08u3UHAFl2wOcbgGAwqPm9\nJEmoqfGhqqoaHo/XsLEJu75QKIhYLIpoNIp4PGYpxKVKl23tDx8+jKuvvhrxeBy1tbW4+eabMXDg\nQKxcuRIAMH/+fEyYMAFTpkzB2Wefjf79+2Pt2rVdtTyBoCCg/Y3ZiBGvlJOInN/fpLsOEU6/vwmR\nSMTQR2qUXwokXXNOp5ObY5rRczhyGM4XliNxwZWoPnVcVufKN6JEVCAoMHLhI21s3IdQKGXNSpIE\nSZI0FUmANkLv9zehudmvPoZX5kmvDwA6OsKqWBsdn8nz8396CGW/WQinfz8OX/879Bk6Ku8Bq6JJ\nfxIISol8NejIxblYi1NRoNbIE5cBGwhqbW3R/JxIJLiuBbrsMxwOA0hPROkMAnJ+zT080YY+y76F\nqLsc+xc+BsVdDrnA/a1CSAWCDCj0fpxsxycAurxOmmTwKaE7D+842hpVFP1jeMcToTSq4VfvISLA\n7TOgfPYcHPnaTVDiiaLwtwohFQgyoBgGtvGEvaWlBbFYTLde3vplWdaVgbLBKwJrvZIvmng8rslL\nNfKxRqNRRHb/G1gxH/j6DfB882ZUNPsLOg+VRgipQJABuQoKpUs27oRAIKBakKFQUNNQBICajA8k\n/YVVVdW6x/NElBCJRNDYuA8A1HtDIF825D45nS643W71uH5738ag1T8Cvv8b4PzLARSWhW+FEFKB\nIANyMbAtXVG0604washM9xEFkmIaDoegKIra0SkSiUCSwE1/4tTGaIjForprEEjDEr17wQvpb0+h\n6vl7If/keeDz0yzvQyEihFQgyJBsLKZMfKx23An0eTs6wmqFEUmYZ6G31i6XG6eccqrh9SsqKjWN\nm8vKynWWpxGkMbRm/SdOoO5fzwIvPQrc/wYw4nTL8xQqQkgFgm4gEx+rHXcC20CENFimq5syhWeF\nE+uXToPi0dERRllZOVwuV3L9soTaZ+8GDn4APLQFqBqU9fq6EyGkAkE3kImP1Y47gT4vIRnYkTU+\nUB7RaAR+f5OpZcz+jXYd0Naqw+HQrIFct6KiEqFWPwY+vhi9HA7g1/8EPH0sn3uhI4RUIOgGMvWx\nWh1HNxCh/ZWSBNUHGo/HuInnZu4COlBk1maPPo6N8Hu9XvicCvDwXGDkWGDxSsCpbfZcrIjKJoGg\nAMhHcv+ePbs0ViGbmM9CD7mjt+7srCVyrFE9PoGurpJlGb7OAKrunwN8cQ4w+y7r6FUXIyqbBIIi\nxqxfaDbi6nK5dVt8HsmBdo6Tx0c062AtW/pc6eTOln30DiqeuAm49hfAl+el+UwKHyGkAkE3wws8\nZRLVz0R46dLOxsZ9mnUkm57wg1SSJJn6df3+JkSjEciyjN7vvoKBz/0M7Qt+i4ovXmFrXcWGEFKB\noJvhBZ7SjerzhNfr9arRdKNta1lZuSq6vPp8XnBKkiSUl3uMG45Qa6l+Yy36/+NJHL/tf9F/wvS0\n7ksxIYRUIOhmjNKKiAiSZsxGsKWbdId68js7vj92HYGANveUVCNZWbzBYBDRzk7U/vlX8O56C4dv\nfQ7Dzp6qWW+xlH7aRQipQFAAZCoovL6jABCPx3XdnHhEIhHuOpKd9WOav7ndbk3HKCNB9LpkVK/5\nEeT2Vhz4wVOQ+vRX06po0e/oCGuuWcwIIRUIChC6g71ROztyHC+IZJYvSmMUOA8GgzorlraKDX24\nx1vh+9W30dGnGgevfhwJhwOJkxYyoK3XTyQSCAQCJSGk3TKzSSAQmOP1etX6dLOEffo4FqfTpXbF\nl2UZHo9X/ZkQj8d1c6FIoIiGHULJ+nDb2gLA4UZg8WTgtC+gbOkLcHl762Y4scJdYBlQGSMsUoGg\nALGbsE8fF4lEdKlKVVXVmiT5aDSisVYTiYTqAjDLG1UURWMV04EsAHDs/Q/ijy+G49t3ALO+rzsm\n5ef1oqWlGYqiQJIktVN/sSOEVCAoUNKtdmKDTvF4DK2tLZBlhy4TgIbeYrPHkGg/axX7fAPQ0pIU\n4N47/onB6+7EkSuXYvBJETWDnJM3ar1YEUIqyBulGJ3tbozuKd25nqAoChRFUa1OWXYYnjeRiHOH\n4rGVTjROpwO93/hf1Lz8Wxz87kOIjT5bsz4jP68d32+xIYRUkBcKfRRHodPYuE/tmEQi5UYRb/pe\nsz5QglXwiYgauZbRF6AqlB4PfC/9BuXb1mP/DU8iNqAOZS635jV3udypbk+URdsdDbHzjRBSQV4o\nhlEchQpdo0462dfVjTSMeLOt84yS71kxdTpdkCToRM0q0T4WDqFy1WK4m/aj8cY1SPStRnlZOQBt\nv1GXy42KikquKJfaTkUIqSAvdNcojlKAWJuEcDiExsZ9unJN8rPZxFAzSCd8u6IWDAYRP34Uw55Y\ngoSrDPsXroLSywOcFG3ea847Z6mIJ40QUkFeyMUojp5KWVm5Zia9oigIhYLcbTvdP5RY/WzqkhGx\nWDyt+v0+Hccw6OG5CNaNw+FLbgMon2skEoHX601LmEsJ0UYvD4ggi4CQ6Xth9+5dtqxKEhAi56fd\nAlZYzaKnfbLlRz7C8FWLcGzaVTg89SpuAqid1nqFTJe20YvH45AkydCp3dMRQRYBobFxnzpczui9\n4Pc3IRAIaAbO+f1NhonqHk9q+yzLMuLxOKLR5BA7Kz+0JEmQJMk0ak4LP/HJevdsxZA1t+DwN25B\n+9lfAShfK911P11feCkZHLaE9PXXX8eqVavw7rvvorW1FQBQVVWFM888E9deey3OP//8vC6ymBBB\nlvQppQ8Uwe9vUkUU4L8X2LxPkhhvlO8JQE1qZxPwFUVBOByCw2H8kS4v98Dr9XImeabWQxsBiUQc\n/d7ZiNoXf4VDV9+H8OiJUJiAlcPhUMeKpOMLLzWDw1JIp06dirFjx2LhwoU49dRTUVVVBQBobW3F\nzp07sW7dOtx555148803877YYkAEWdIj1x+oQhFltlad17+TzrMEUpF4AIbzlegUJb+/Sa0SAnAy\nyR1qyhELCWKZRdJVIyASQc3fH0fF5v/F/oWr0Dnws3A6nDp3g6Ikd/lOp35bb/ZalJrBYSmkr732\nGsrKynS/r6qqwpQpUzBlyhR0dHTkZXHFiAiypEcuP1DdbeXQwkF/oRr172TLLAFo5ikR/yf7xUxf\np7zco1q+kiTpxh7TJBIJ1X9KizFdQppcRAwDn/9/8Oz/LxpvXINYRXLdRDBpMaX/Tb92Vq9FqRkc\nlkLKE9FMjulJCPG0Ty4/UN1p5bDCUVFRaRnBpgfVSVIy/sBaoXV1I3Vix14HgM4XawaxTHliJ3WG\nMHTNLZBiEXy85Gkk3OWqTzQej6OsrFzNPWUJhYJqFoHVa1FqBoftYFM0GsWWLVuwZcsW1QKVJAk/\n+clPbD3+0KFDmDNnDvx+P2pqanDdddfhyiuv1BzT0NCAWbNmYeTI5LflJZdcgjvuuMPuEgUFhN0t\ndi4/UN1p5fCEg+7daYTPN0B9zrt379IIKfEM0PeEHQdCBIr2xTqdLk1FEZtXWnYyeZ5ds6O9FXWr\nvo+O2lE4fPndKO/dD/FIRBOcAlKuAd4se7IeO69FsYsnjW0hXbRoEfbv349p06ahd+/eaV/I5XJh\n+fLlGDduHFpaWjBhwgTMnDkTffpoZ1pPmzYN69evT/v8gsIh3S12rj5Q3WnlpCPibF08WWtlZaVm\nNnxlpb4zEusy4F2bWKn0feCVnNKPc/v3Y/jKBWg7+6to/tL1gCQhGo3A7Xbrqp/oJinNzX51bXQn\n/1KzOK2wLaT//Oc/8cEHH2Sc9lRbW4va2loAQHV1NU4//XS88847uoh/oeeI5pJCCYzkmu7cYnfX\nfbQrHLw2daFQEK2tLaiqqta0vTNyB5CAFInUA/wAEnl/+f1NXOuYbMGde97G0Md/AP+M76PtC5eo\nf7cq82RdE2ywqZTe01bYFtLzzz8fr7/+Oi688MKsL/rRRx9hx44dmDBhgub3kiThrbfewrhx43DB\nBRdg4cKFGDVqVNbX6254gtndgZF8UmqBBLsYNvigXnezVnZETI1cAiTnlN6mEzH1er26MSBW7y+/\nvwm93n4JvnV34ZOrfo4Tp01RDaVEImFa5kk/51J532aDpZCeccYZAJI3dsWKFRg8eDAqKioAJIXv\n/fffT+uC7e3tuOyyy7B8+XLdB+zMM8/EoUOH4HK5sHr1atx4443YuHGj7hx33323+u/6+nrU19en\ntYauxOgNXWrpHzTFtK3L167A6HWnv2RYzNrKqQ1DONVObNNlwN6uwLH+t6j860oc+N4KdAw9Ta10\nIo8v9NcuWxoaGtDQ0JCTc1mWiB44cMB0uz1ixAjbF4tGo/jKV76CGTNmYPHixabHKoqC2tpaHDx4\nEL169UotuAhKRGnYkj2Px6tGYunE6GIurSs2aB8l61vM5DVgo+q8bvXkdaeP53W0p4+jMSv95K3d\n9P2VSACP3ozYlo3Yf+1v0Fk50LJctCeQ1xLRF154AZMnT8aZZ54JpzPzHieKomDevHn43Oc+Zyii\nTU1N8Pl8kCQJGzZswNixYzUiWowYbXOLyWorJYxGaWS6K6DPR9KKSLCIJNWzneBZwWtpaYGikDLL\nCBob9wHQNlOm30eyLMPhcJg2XTZ8f0U6gF/MQaTpEA4uXoNOt3ZXyFroRoGxfFDMMQNLZfz444+x\nePFi7Ny5E2eccQamTJmCSZMmYdKkSejfv7/tC23evBlr167F2LFjMX78eADAsmXLcPDgQQDA/Pnz\n8dxzz2HFihVwOp0YO3Ys7r///gyfVuFgJpjF9mYpBYx8lFaz4+2cj61SAlJWTjQa0Ywkpt8PwWBQ\ntTaj0ShisZiuPp/3PuJ1xadh31/N+3ahzy9nI9bPh8PX/w4RavYlqaoiEfpoNHLyuWndEPny5xd7\nzMB296fOzk6888472LJlC9566y1s2bIFFRUV2LlzZ77XqKHYtvaCwsLIInU6XTjllFMzOh9dL2+G\nx+PV1bpXVFRqAkjs+5vnEgCSgkYS+M3cEuQxzpaP4XtwLtrHTIF/1k1QGCuZTCKl74tRmaqR+yEb\njFxgXUmXdH8Kh8M4fvw4jh07hmPHjmHQoEEYO3ZsRhcVCGhytaWzcx7y+7a2gE6IMjm3zzcAbW0B\nSyEl23s2CERv608eCUmCWvJJrGSjLwByHp5lSkTefeAD1D52A1ounIuj512lrkdRFMiyrCb+0+Wl\nbHkq+zzs3h8zjEpqizHTw1JIr732Wnz44Yfo06cPJkyYgEmTJmHJkiXcZGGBIF1ytaVL5zxkq2z3\nw2917oqKSkORI5CtOjvHKBaLMcclNI8xmu5JYyQ8gUAAng/ewOCn78Cn37oT7Z+frh5PRBOARiyT\n63Pr3AeRSETtA0C7KezcHx6ZlNQWMpZCevDgQXR2duKzn/0sBg8erEl/EgiyJVdpYGbnMbMm7UBv\nvY3OTQQIgGF0nZfgTvtHecRiUXW6J68kk9d1idDvredQteEBHPzugwjXjYMsyygrK9fcB7bk1OVy\na7bU9HGhEP8esPeetAM0u7+ZltQWKpZC+sorryCRSGDHjh3YsmULfv3rX2P79u2oqqrCueeei3vu\nuacr1ikoUXK1pTM6T7YWr9/fpJmVRAel6HOTDk91dSNVfx8RLqs5RnT5JqAXYiIyrAvB5XJh9GiO\nX1dRgDV3ofpva3DgxtXoqB5mmt5Eb/MjEa21STB7ndjc2EQigba2ZPWV0b0u9q08iy0fqSzLOOOM\nM1BRUYF+/fqhb9++2LhxI7Zu3SqEVJAVuUoDMzpPJhav0Wx2INnImHduUmFERBGAOja5rKxc3S4D\nyeYkyb6hbkQiEUgSNCJHjxmhRYZ2IfD8un5/E4LHAqh95m6UN+2F8zdb0ScKyAb31u9vQjQaUQMs\niUTCUATNsgbIrCY66BaNRtHWFjB8XUst/c8yav/ggw+qUXqn04lJkyZh8uTJmDRpEs4444wuHzki\novaCdLAqfODlTdLHs/1A6cezjZWNoCuGzCL8vAg9KzJmvz9++BBqH10EuMsQ+sHj8A2rM12XVZI/\n19qlrscTdfI7ttS0GApO8hq1379/P771rW9h4cKFOO+88zR/27hxI7761a9mdGGBwIxcRfLNLB/e\ntp+1YK2adtD+U5fLxe0pSpd+mkX3w+GQuq2mLT56q210Lzo+3oshD85FqG4cDn/jVnji1oJgVq4a\nj8fh9zep98S0mz7j42SrtkqtBJqHpZAuX74cQLIOfvXq1Wrt/TPPPIPly5cLIRXknFwnZxs9licG\nbAVR8vr8nEZ6SB3pTl9R4eVaqWR7bhZYUhRFDdQAsH8PGj/A4Psuw9Ep34K//mq43G5bPkdyPp6V\nTJqokHlM7BqsKvZYi7XYfaBW2M4jfe6553DppZdi3bp12LRpE9asWYPXXnstn2vLC8VchtZTyEUk\n387rzBMDujVcIhFXo9CBQACVlZWGVhkRTiNxamsLaFKOjCACRj82Go2iudmPlpZmNaCl8p/Xkfjp\nN9H6zdsRnDgLHqRXxknn1bKWKfGZkjXQrwNt6ZP/8yznnvJZS2uu/e7du/H1r38dw4cPxwsvvACP\nx5PPtXHJxo8hGoUUB9m+Tuk83khw9+zZpRMW2tdJhBbg+wF5j+dRU+MDYO47ZVF9qf9Yh8Rvb8An\n3/kVjo88S9fUmUA3UzESNaOEf/J5M7qPpfSZyquPlGzlCUePHkUikcDEiRMzaqPXnZRy67pSIltr\nhn2dedFjWkDZbbvf34R4PK47L7EWyb+B5IePl8tp9/PY1hbA6NGnWuaT0nSEQ8Cz9wLrH8Gni5/C\n8f5DNM+V/Fs9nsoiMHIT8JL+SUoXYGzlis9UEksh3bBhQ1eso0vo6tw14UbInGzuF+vnjMfjiEaD\nCIdD6uth5n9kU55oFEXRWC2KosDtduvSgeixIWbQQR0WroUUj2Hw+vuBQ9uBB9+CW3HBRVmE7Hwm\nADo3gZHYsWNMdG4Ei8f0BF+oEZZCOnz4cMP6WgKpCy50utJvU+zdbIoBo+5HJK+R3aoqioJQSDu0\njScsrBBr80idSCT0kXm2nZ7D4VAT7JPXMW7m3NYWQEVFpUbEFEWBg5kjL3WGMGztbejtlLH/hjUI\nNbdBkiTIsgOyLKs+WHqkMwBu13semXw+epov1AhLIZ06dSrq6+tx5ZVX4pRTToHD4QAAxGIx7N69\nG+vWrUNDQwM2b96c98Xmgq56ocWWJ7+YN/FI1rTztudAql+okbDQ4hChpmgCSWvP4/EiHA6rdfHh\ncEizLSdBmng8rvYNNVoLAPVvLpdbbaGXPE/qMY72Vox4fDGUIadg5//chgRk4KR1TNZHtvDEsHE4\nnHBTEXw7eamZfD56qnjSWAab4vE41q9fj1WrVuH999+Hw+GAoiiIx+MYO3YsrrvuOsyaNavLEvOL\nJSE/Uye8cAfYwyyZ3A5Op0sVGbP7vHPnDm59u9Fs92zWY3ROd/MBDFu5AMfP/DJavrIICZvvf6tW\ndKUUKMoF2WhLWlF7ADh+/DgkSdKNUe4qikVIgfRFsVDe2MUg5mYWqSRJkCRJI4DE9cSLQJs9X7pc\nk2Dki7SLUZ9P3vMo2/cfDH18MZq/vBCBSZdanhdIbeHNOugDhdEDtJDokn6khL59+2Z0oZ5IttHm\n7nAHpOPb7Q7BZeu7ebOPyss98Hq9mhnxRkPd2OdL+oNKkgyn06HZXgNJsSLXZYWUFjIjSAs9O/T7\n4HUMeOYufHLlz3DitKmmx7LPEUj5ZY1eRxEoyh2ZD2ES5JxCeGPbFfPuCKbxeliSQYK0aLJNS8yE\nnn2+BEVJIBrVC6IsJ5uWkLlK7N/cbrdFWzxjXylNzeY/oOq1x3DslmcQ6jckObDuJGwPgOR8qGTs\nwqg9Hu91FIGi3CGEtIAohDe2XTHvDuvZ6Jp0uhJd127V7MPvb0IkErG91U6eP64+jiUWi1pu97Xd\n8LkXQO3GB9Bv55twPLQF/QfWIXbyC0RRgMrKpDXc0RGGLDvU+v5YLJVD6vMNsP06CvHMDWkJ6ZEj\nR1BbWwsACIVC3VLZVOp09xvbrph3h/VsdE2ztRA/ID2EjkDmxCdTh1yIxeKWQifLDsP58png8XhV\n14QU7cTgdXeiV3sznL/5F9C3CkAqWb6jI6wZTUJnHwDaL5dC+FLuSdgKNi1btgzjx4/Hxx9/jGuv\nvRYA8Pbbb6OjowNTp5r7bnJNMQWbCpWunJGUDUZWpFUaD8CfLU8w6tLEpjWxWP09E8jQuURbC4Y+\nvhix3pU4PPteKO4ylJWVaxpF80hWVjm7PUBZCuQ9ar9z5068/vrr+P3vf49BgwahtrYWEyZMwKFD\nh7q8sbMQ0uwolMwAK7JJHzObn8SL6NMQ/yOdtE8COemUcaaD6+inGLZyAU6MmYymr90EUKmEHg9/\nxAjB6XSp231heWZH3qP2Y8aMwZgxYzBq1ChcfPHFOHLkCN5++21Mnjw5o4sKuo9CyAywg9E6raxg\nsyFxgL7EkyUajeqsVRJg2rlzR6ZPx5CyQx9i2GM3oOWC7+DotG/r/k58oWY+XCGe3U9aPtKLL74Y\nAFBbW4uZM2fmZUGC/FIImQF24K3TbqYAPYPIbhCJYNQVH4CloKVL751vYvDa2/Hpt+5A++e/yD2G\nlJka+WSLoDK7RyCi9j2MYglCsOsEoJsJxFrT7AwiWXagqqra1jgQILmNpkeOBAIBdQ179ugT82mI\ny4CkIVl9iWTGAAAgAElEQVQFoyr+9Sf4XnoIB+c9gPDI8ervSSpTIhFXz0V+zxNxl8utfsGQqH6h\nvqaljBDSHkixfNDYpHl2giZrTbPb+ng8OTO+vNxj27dJ3xtSsmkngV5RFDidTk3zZq6YKgpqXvkd\nKt5ej/2LnkDEN0Lz50QioY5MbmsLqNNIjSzhSCSi8aHaGYUsyD1pFchv3boV9957L4DkvPtt27bl\nZVECAQ0rkKS6iFepQ3chUxQFbW0BtZmHFWRmEpBs3JxuLX00GlUbmHBFNB7FoGfvQp8db6Dxxqd0\nIgqkviDo52zmTpAk7d/pPFpB12FbSJctW4YHH3wQq1evBgD07t0bCxYsyNvCBAKC1+tV04QkSUJZ\nWTnX4vL5BqC83KOKKelFyt8Su+B0ujS/UxRFHZnBlobaxciFIHecwPBHF8HZ3or9338csb7VumPo\nLwGv12urEZDL5dYcRyq7BF2LbSHdsGED1q5di7KyMgBA//79udUdgtzj9zehsXGfrgGw0e9LDZ9v\nAFwutyap3ug519WNRHV1DTwery44JMsynE4XZFmGogBut1snppFIBM3N/oyCSuTcut8f82PEw9cg\n0n8QDs57EIle/EKW5HNLdfRnRTnZIUp7/o6OMMrKytUvhqqqarGt7wZs+0iHDBmiEc6dO3di9OjR\neVmUIIVRpLqxcR/C4ZCmWqfUP0BEWKzStowmWZJoPOkXGotFdQ3Jc1WxROh1+CMMW/V9BL5wCVqm\nf9dWmJ2kYLFCStr+0XmyZHxIJnOpBLnDtpDOnz8fM2fOhN/vx9y5c7Fp0yasWrUqn2sTgJ9P6fc3\nqSJK/76UsZu2xRMNcm94ie3pJGA7nS5ud3wCK8Kej97G0Cd/iCOzbsKxc9JLF5RlhybnlW3GYpXB\nQBCTGroG21v76dOn489//jMeeughzJgxA9u3b8f5559v+0KHDh3C+eefj9NPPx319fVYt24d97jb\nbrsNI0eOxFlnnYVdu3bZPj9NKW15af8gHYigBUCSpJL3i/l8A1BRUQmPx2tofRHRCIWCaGsLqOOB\niQjzBNDuiBxJknHKKaeiqqralu+y77svY+iTP8THs+/Viaidx0uSdm20X9jnG4Cqqmrd+4JHsRRg\nFDtppT95PB5ccsklGV3I5XJh+fLlGDduHFpaWjBhwgTMnDlT0yB627Zt2LRpE9555x288soruPnm\nm7Fx48a0rlNq38C8vE+SL0kPKSum55jJVpN9jJHladQdio36k0R38sVENzbhUV2dDA4Zza1XURRU\n/eNJVG1ah/0LHkXnIGP3l5GFS3y4vPPz+rEWWnOZnojtDvkffPABVq5ciS1btqCzszP54CzGMc+c\nORNLlizRWLUPP/ww4vE4Fi9eDAAYNWoU9u7dq12wRT1sT+n6Xax+r0xq6I18nWzlEZk1TzrEJ8Uo\nmdhOckKNrmnUGISdfUT7X3Vimoij9oVfoPe+f+PA/EcQ7TfA8v3qdLq4DaLLysq5z1GMr8kfXdIh\nf/78+bjuuuuwaNEiuN1u6weY8NFHH2HHjh2YMGGC5vfbtm3D7Nmz1Z9ramqwd+9ejBo1SnPc3Xff\nrf67vr4e9fX16s895Ru4WD8QmWw12cfQKU3RaBSBQACSBE1LPHoUSCKRgNPp0lQusdDvG5rkfLIY\nQiHtDocd2SxFwhjy1K2QO4I4/KM/YvTpnwdgPVsqkYjruuaT87IWp51mzTyK9b2SbxoaGtDQ0JCT\nc6W1tb/iiiuyFtH29nZcdtllWL58uU7keA0leD4sWkhZiqUEsqeSyRcd+xjWIgVS3e1JZRCbhJ9I\nxNVtPPGd0pht2XlBPXpNjhNHMWzVIkRqhuPjq38FBTJ27tyhGcdsRvL5aF0PvDaBdBPqUjYSugrW\nCFu6dGnG57ItpL/85S/x7W9/G1/60pfQr18/AEmR+8Y3vmH7YtFoFJdccglmz56NWbNm6f4+ceJE\nfPjhh2pzlObmZowcmf62vBTEs9C2Y3b6gKYzB53Uhts5j5GfmK7Dp7e85He0JUgaMpv5zum1Ef+z\nw+HUuAWApJVJfJTHd72LoSu+h+PjL4J/xiI1vSmRSKjXN5vTlEgkdKJPuk3R94ZtQm13eJ+ga7At\npM888wz++9//wuVyaaxSu0KqKArmzZuHz33uc6oPlGXixIlYsmQJ5syZg1deeQVjxoyxu7ySotAC\nZkbryXadZDwG6f7OiorZvHWjFnq0mDQ27lMT1oGUsJpti81EO/nY1EC56uZ9GP7g1Wj+0vUITPqm\n4fNUFL4vlMAWDVRWVuqeF2txGw3vM7o3gvxiW0j/+te/YseOHRlv7Tdv3oy1a9di7NixGD8+2e1m\n2bJlOHjwIICkD3bChAmYMmUKzj77bPTv3x9r167N6FrFTqGlrNiJhqezTvZxrH+wtbUFDoeDKw5G\n1hdPPOggY2PjPjWYYLUtNhJt2kdZ9u6r6Pvs3fjkyntw4vRpps83kYijqqraONJP4XA4dNc3c4cU\n2nulp2JbSM8//3xs2bIF06aZv2mMmDJliq2yu3vvvVdtjNJTKbSAWSazktI5H1sPT0olAX1TZyJG\nxHK142agq8AkSYLL5c7IavN6vQiFgqjc9CxqXluFA/N/i45hn9MdJ0myZhxJWVm5LjjFg47Os8/H\nKNWp0N4rPRXbQvrmm2/isccew+DBg1FRUQEgu/SnQqc7/U6FFjAzWk+m62Qfl0xbSo31YFN/aD8o\nPS20tbXFcItLW2Z0FVg2Y2p81TWQH/8x+rz/dzTesBrR6iG6Y+jRH8StQEZG87IC2JxWo+dDRk9b\n3cvufq/0VGwL6V/+8pd8rqOgKAS/U6F9IIzWk+k66e0y7TuUZYcqPKw4sBqYSCTUCDy7xY3FYqoF\nmk0VmLoOtxO+1bfAe2A3Ghc/hbi3gns88fuywsdrVG13ZIrd3gKC7sO2kI4YMSKPyygshN+p6+Cl\nKQF8caisrERzs1/zO5LORKcG0eJJiymvCsxsUimQDC7Fj7XC9/gPcNzbD59c/ygSrl6mz8noPZOO\n4Ikte3FhKaSTJ0/G5s2b0bt3b11OpyRJOH78eN4W112IN3HXUVZWrklTMsu99PkGIBBIzZQn6Uj0\nnHmea4B0reelbrE7D3I+kv7kPPop6lYuQPCUc3Fk1s0ANf7DjEgkoqZJAfa33umWgAoKA0shJZn/\nJ06cyPdaCoZ8+Z3odJxcla0Waw4hmwfK+hONclbp7/J4PI54XNvRKZFInPS7JoVRUWB4r412HuR3\nvT7eiWGPLkLL+XNwtH429xxGkGooYnGTdneAsWXKtkY08osKCg9LIZ04cSLefffdrlhLQZFrUaJL\nBUOhIBob92X9ISkEX24mmAVSzJ4T23zEKApOb/9jsajhvTbaeUSjEbi3v4Eha3+M1iuXov3z04E0\nxo7QrgV6jaSc1ahzlVFrxGL9suxJWAppNlFOQQrWF2h3jpAZxerLNVu32d+M6uGtMLrXRjuPsn/+\nAd519+D4kicwYOrXMAB0dVFcTW0i7fBYQaerodjBdYlEnFuiatQasVi/LHsalkLa3NyMX//611xB\nlSQJS5YsycvCihEzyyEdX6Bd0vXlZmvZ5MoyMlu32d/INekuT3aw8ruqKAqw9h70ffVJ4IE3UTns\nVM1xpMqJjHdWFAXl5R5dw2hJStbPu1z8jva8Lzz6edNBsUwblQi6FkshjcfjaG9v74q1FDVWlkNd\n3Uidj9SOMKVbg57p+rJ9fulgtm76b+T/pEE3Od7tdiMcDkGSZJSXl5t2V3I6XfbudSwKPPg9YO9/\ngAe3AP1ruedL9ghIZQR0dIR1aVkk/aq6ukZXv2/0hUdSuOLxuMaHns6XpXABdB+WQlpbW4u77rqr\nK9ZS1NjZZtN+OjvCZOcYux+YbN0AuXYjmK2bWGLEZ0gHbLSiqSActnaRWN7HUDvw028Csgzc/wZQ\n3pt7DtZHS9bEQ1EU3Yx5M5EjCfskKEW2/3a/LIULoHtJq42ewJh0t9l2hCmX4pVtSlc2j6fzMsm5\nrKxnOvBitoWnSzF5SJLFfWw9jOitFyM85DR0XHc/fAYiSm/P7UJv461EzWyNdgSxWP3lpYKlkP7t\nb3/rinUUPemmTNkRplzms2ab0sWrzCF5knZdCgQri4kNvADQBW3sQmrXuffx4E7Eb7kYx879HzRd\nOA+u9nbA0aRr05eJiJI1814z3ha8O7/oBNljKaRVVVVdsY6SIB1xsiNsuc5nzcXjiTCSRiM8UaSF\ngrcdZi0mVlh4gReAPwWUwDYKAZIJ+/Q9jMViiMWSlVN4/5/AT7+Jo1+/Gf5xX9KsixZ/9pok4T8S\niRjOWyK/o9vd0c+VtwXP9Red2NZ3LWJrn2fsBIvMKJQPhN/fxI2W80SRFgqXy62zJmlLzUhY6MAL\nsQrT2eLLsqxao35/08mgkAJAQeS1p5B4/l7Itz8DZehYuJhAEF09pRdKhxo45AW5tPcm5eskZLuF\nN6NQ3is9EdvjmG+55RZbvxOk4I0HLkboDu2ssFj1xwSS4kNDd4DnCQsbeGltbUl7a81eI5FIJCd8\nvr4aA178FQ4vXg2c9UX4fNoxz0Cq3j91Lll9rqTpstebGpNtBM9XST/O7ihoQeFjW0hfffVV3e9e\ne+21nC6m1Mg2AOD3N6GxcV/WApzteXjbc1mW4XTqJ1nSQkFEtrKyUhUj0gGerIkcB6SEhb1v6fpG\n6Wvs2bMrGdk/OeGzYuufsf8Ha+E69WwA+h0D2zfU5XKhqqpaFVq6hWBFRep5Ga2D9VX6fAPUdClS\nClqsX7CCFJZb+xUrVuCRRx7B3r17ccYZZ6i/P378OC677LK8Lq4YoT+Y2STMA8hJOksu0mLo5yHL\nMhwOh+EoYJ6vjhWKpFCm7ouipMoqjdwBBDLz3SxaX1WVnEFPmkBLkQ4MXXsb5HA7Gm98EmVVAzX+\nXuILbWsLnEykd6lroxst854rSdXi+W953e79/ibE4zH1Z1I2KnybxY2lkF555ZX48pe/jFtvvRW/\n+MUv1GjqgAEDUF6efXVOKcGrIbfbwYd9LD1OOJt0llykxZgFMng+YF75I92QmRYdIs50jTkdsJck\nCZIkqe3xyIRQo8plSZI0Iz0cJwIY9tgiRKqG4uM5v4DidKtfKPS9SSQS6mPoqiRA/4XG3guSH0zn\nvhqJMC8jIZGIIxQKdnn+p0jgzx2WQtqvXz/069cPzz77LABg+/btCAQC6qyl8847L78rLCJ4omW3\nMQn72GT7N5dta9aIXKXFkI7vNEZd6a3GYbDjlOmfk6KZCmjRI7pJcr4sO5iSTG3/UfJvV8shDF+5\nAMc/Pz054fPkNjwWi8Hvb+LW7ifX5KYyDiKa16WtLaD+mx0EmPwC1I8zMdql0F8S5Jxdlf8pEvhz\ni+2o/Z/+9Cf89Kc/xb59+1BXV4f//ve/mD59Otd32lPJRrTYxxJrJluLIRdpMUadq4y60rMfTDoK\n73K51ag3+zN5vFmjnEQiobNGy8s9OkEsP7AdQ39/I5ovmo/AFK0LilQdORwOuFxuKApU8aZ7nBJr\nmW4YTTctoYWPvhf0+q12KfS1urIEVCTw5xbbQvrwww+joaEBkydPxnvvvYfNmzfjgQceyOfaio5s\nRCufeYDpNBPmHctaouFwSBMoItYVrwUcOT8dhU824kj+TM4ViUTS6DSmP66iolIVpN4fNGDwM3fh\n0yuWIjj2AtQwPlNAu5V3u92IRCKq75fd8suyrD4/WZYgSbIqukT4jL5E7e5SuroEVCTw5xbbQnrs\n2DH07dsXPp8PR48exeTJk/Hd7343n2srSrJ5c3fH1srOB5TtXKUoCkKhoLotJx3o6Q8mAOzevQuS\nBM2U0Gg0qvmZnCudVCDaAiUiQAI/7et+gfLnf4WD8x9BbNQ4VFGWPd05n0Bb0mTdrMjQ/moioCS/\nlfULZ/Mlaka+eh0IH2lusC2kw4YNQyAQwKWXXor6+nrU1NTgC1/4Qj7XJugC7DZboQMpBOJPpJsy\nk8cbVSEZCaZda7Smxqcr4fT5BgCJBPDE7eiz6Xng4X9h5KBR6prorTO7ledZ0sQ6I+ldgHb7bZWx\nQCCFALkgHxakEM/ckZaPFACuv/56XHzxxfj0008xZcqUvC1M0DXY/YDyAjNG/UIbG/eZdkXKtFm4\nYQJ8pBMdP78SONKI9jtfRM1JEQWgqZNPWt1RzQjk5O+1ljQtmvTzSsd6IwLO5qRmKoDCgixsJKXI\nWuCz43UF2cPzkbK9U9mSSFmWUVVVbdgSjp32mUvozvS9omEMfuxGxHp5cejbyyCVedU8UrNmI5Ik\nqf1C2d4A9PP0eLwZjYRJ534JCoNstEXU2gt0H25elJ6XVWAmCpl2a7IDOa8zcARDVi5AcPQEHPn6\nDwHZASWRUCPyZmWliqJwW9yR7TgJMuUq7Yy+XyJ/s/QQQirQwZsvRawytmKJFQR6S5tMHXIgHk+l\nDBE8Hq/m/OT4qqpqTdMQI3p9shvDV30fbRdcDf/Uq0CPF6Uj8gTW2iAzkfKFUYUX3fhF5G+WDkJI\nSwTyIZUkWFqLVtiZL2WUjE/7UROJBBwOh24cCLtd5tW7mwmpd/cWDHnqNvi/eTuc06+CTKU1AVDL\nWFN5oA5UVlZqtu1kJhILW4XFdrk3g30erKVLGr8QrNoJCoqHtIR069ateP3113Hrrbfi4MGDOHLk\nCCZMmJCvtZU8ufrg+P1NmhzJdD78RusB9LPmzUpYU52eZF0knK6dZ7fL7D2winT327YetRuWo/0H\nv8eg877Obfghyw5NmSdtLROhp1vcGVUeAUkxJdVMRlY4ObdZGhmv8QsdfBKVRsWNbSFdtmwZPvjg\nA7z33nu49dZb0bt3byxYsADvvPNOPtdXcpAgjiw71JG92X5w2I5F6VpSAL+PKMmVJNego99GXY94\nftFwOAxe1hP9BUDEk30uKoqC6tdWof+/XsCxO15A1ZnnGR6fbPcXhyw7TFv88Zo4k2onNve1rS1g\n2tDaKo2MFWi2jFRUGhU3toV0w4YN2Lx5M8466ywAQP/+/RGJRCweJaChgzhmzZHNMBpTwTYZZi0p\nK6zKPdngidppnoGtHweSnZqIe5KeY5T0F6a20YFAAJWVlfoc1HgMg59fhvKPd+LYPS+j+pSx6p/Y\n2nV6zhN7D3ipXkaNS+jkfVmWNcJK7hH9mlmlkZHXgPWREqtYVBoVN7b7kQ4ZMkQjnDt37sTo0aNt\nX+iaa67BgAEDNK34aBoaGtCvXz+MHz8e48ePx89+9jPb5+4OMunxabRltfvBMWsUzbMQ0xFotuEw\nm6TONkB2Oh3c8zgcTtM58vRzZa1USUoKTlVVtZq4L3eGMOyxG+A+1oxeD29B9SljNfeeXld5uUeX\na0rfA/Y5EAHjPQaAeizbJIV9HuTLzeVy6/qW0vh8A+B2u7lNSnhrExQPti3S+fPnY+bMmfD7/Zg7\ndy42bdqEVatW2b7Q3LlzsWjRIsyZM8fwmGnTpmH9+vW2z9ldZOrPYoM4TqcLbrfbto/UaPvHbm+J\nEKZj2dBbzOT59dYRu8ZWJsiTvHZquB0LGf/B61FKjwYh12k/uAeDfjsfkWGnITz/AXg8fSzvPTtT\niqyftuTpQBd5LO+5sJkIdPCKfh5s1RNgPBjQzPIU4lm82BbS6dOnY9KkSXj55ZeRSCSwYsUKlJWV\n2b7Q1KlTsX//ftNjiiXRPlN/Fklsp4M4BDuBJ6MPIa9NHfl9Jh/O5Hm9luuRZQccDocu8OR0ploA\n0pBhcOxkUUlKJaur1t3hvRj60FwcP/cbSFzxY/gG1AIw9nOy0fJ0mmSTTAHeDCb6WN79YNdDMifM\nrmV0LkHxYltI77//fs2W75FHHkFdXR2++MUvondv/SzwdJEkCW+99RbGjRuHCy64AAsXLsSoUaO4\nx959993qv+vr61FfX5/19dMhG38Wr0rGroVr9CHMxYeT1+7NSOgBqKk8LlfSqibikZpv5Nb5FQn6\nCLaiWYNr91bUPr4ETV/7AdomzEIN5QNg7z2QsibD4ZDqZzW6ntEXn10fp9XjyDXI/3lBP15NvhDW\nrqehoQENDQ05OZftEtF58+bh1VdfxfTp06EoCv7xj3/gnHPOwYcffog77rgDV111leU59u/fj5kz\nZ2L79u26v7W3t5+MmLqwevVqvPjii9i4caN+wQVSIprLNz9bTujxeNVASFd9uHhroJuR0NtX2gKl\n18tuqRUFiMdTnZXIdpg3gZMk6Dvf+hMGPrcMH397GYKnTgKQtFhPO+109ViyHrr5CA1dQsprJG3k\ngzR7Te3+DdCXplpd005DFEH+6ZIS0T179mDLli0YMmQIAOCTTz7B5ZdfjjfeeAOXXnqpLSE1o0+f\nPuq/582bh9tvvx2dnZ3o1atXVufNF5lafbwPI8+q6eqcQjOLjJf6xHbvJ9vjaDSoHkfemHSqD8nl\npCHnKH95Jco2PoID1/8OHYNPVf+uKAmuz9EoaZ+NrrtcblsjX+z2AmUnAfAeR/tczdw/Iu2pNLAt\npMFgEG63W/3Z7XbjxIkT8Pl8OH78eNYLaWpqgs/ngyRJ2LBhA8aOHVuwIpoJZtt3dmveHR8uM/eA\n1+vVpCSpte6cKaK0eNLjPwjstl6WZVT07YveT90J538bcPiW59BR3k+3PnqmES+5nYa1SLO16u1O\nAiCQn+10vhdpT6WBbSG96aabMG3aNFx00UUAkqOYb7vtNgSDQZx++ukWjwauuOIKvPHGG2hpacHQ\noUOxdOlS9c05f/58PPfcc1ixYgWcTifGjh2L+++/P8OnVJhYiSMbee6OD5eZpUbnfAKp8k8CO7PI\n4XCqflOzwFiFpwx9H7oOiTY/9i56Ao6+VZANfKt0v1C28TJJwCdZEEDuAjpGuaq815HedaRjBQsf\naXGTVhs9v9+PV199FZIk4aKLLkJNTU0+18alUHyk6ZKuL8yuD7arAhVspJ3gcrkwevSp2L17F9dv\nalROGQwG0TvRgZqHr8UJT38cvOxuKE43zKBb0dENQICU9UmnJaXbe8COHxTQpoaxXZ2Ev7N4yUZb\n0u5H+v777598gyYjqV09RbRYhRTIveh19QeXFyQCksEguruTnd6bLR9sQ997L0f0nBnwf3UxQjY6\nyRPRBoyFnQg47aO0s5507qXR62gWsBMUPl0SbCJTRBsbGzFixAgxRTQDci1yRu6Crk6nYVvkAdpk\ndnYtR7f8FRX3z4F/+rU4ccFsIB7TPDY1aE7r66TnxJs1AeH1HrDyM6fjl043z1dQ+ogpokUM74NL\nz1bKdcTf6/Xq5jbxkOWk75QbYNv3NvrddzU+uewutJ9xPsAk8LMFBUD6/kNe74Fs4XWpykc+r6A4\nEVNEiwjaTwdAF9AAoBG6dPtdsvmQPKEIBoOWYup2u9URy3TFU3z9I4i/8jsc++FadFTXAUxZpZE/\nNRKJ2PpSIAnwVVXV3Moqcj7iO2UF2whe+hPdjo9elxDPnoltIR06dKiYIpomudxi83yCbAVSY+M+\nncBFIhG1rt1OjTppJweA2y6O9CalBTcQCKiJ90BKzJN16TIS8Th8Lz2Mvv95FY2LnkTfz5yJCtib\n5W7UZ5VtS0egu0iRx5IeqOz5yGPJ8yU9U63yaNkWe4FAQFihPRzbQvriiy8CSE0RPXz4MCZPnpy3\nhRU7tDCFwyEEg8GsAg88n6BZKzdCLBZVq4Bo65D1AbLt5NhrmH0pJOvUU9ekW9lJ8RgGP/MTuJsP\noHHxGsR790cgEMApp5wKM1jRI+ejuyUBxo1TeBj1OqWDUrzcWF4vA7rFXiIR1+S5CjHtedhuo/fH\nP/5RTbz/61//iieffBIfffRR3hZW7NDCpCgKwuFQWi33WHjt3njdg0grNqczdWwy/zE1zph9HNk+\nk+AOsSSBZOAnEokYtu8ja+PNq5fD7Ri28nrInUHsX/gY4r37nzyn+XPljTIm62KfL69lH3F30AUE\ndooaEokE3G63TgjZFnd1dSPVnx0Oh8Y6FZVJPRPbQnrPPfegb9++2L59O9asWYMLL7wQixcvzufa\nihpWXOiplYR0eprSH2byHy9Fx+cbgLq6kaisrNQIZ0VFpTryg/gGGxv3YffuXWhpaVatVZfLpREn\nRVEQj8csiwnKyz2pHqKyDNexJtQ99B10+upwaO6vobjL1b/R0Xfe/TAbo2yF0+nS9RmVZfmkBclv\n70fWbRZpJ/eV9oUSQTX6ghL0HGxv7cmb5cknn8SCBQtw+eWX47777svbwoodNjDDswLZMRtWW8J0\ntoxsBBlI+lTJ9XRd6JHqEM92baL9rkZiQbcI7NNyAAN/ex1aplyOlvo5qglq1q9T3/MzNePJbBgd\nXb4qy7La+Yn8nSTts+elcTicafWFNbvPYlvfM7EtpJ///Ocxe/ZsbNu2DT//+c/R0dGBeJw/bkKQ\nhA3M0B8yeutKRmLk+kPIJovzfKA8jP5u1cWooyOM8l1bULvmFpz4zjIcGzMN0HRBSlrCvKAXPYI5\nkUjA6UxaxpFIhOsnZTMYjJ4/3WeUnNfhcKhfFpIkwe12Z+W/FuIpsL21f+KJJzBv3jy88cYbKCsr\nQyAQwC9/+ct8rq0kYLeEBDZ7KNNiLbvuAa/Xaziwzi70sDaWtrYA+mz9M4asuQWHvvMrNI2Zxt32\nGjVmJqWeAFTLkrgo6HWTfxOfbTgcMvWFsiNU3G43Ro8+FWVl5WriP5mdJBBkiqVFyjYPee+99zBu\n3DhMmzYNAwcOzNvCckEhN8yl03MIZAaRFby670wixqS5COnqxUtiN0oJonuCVlZUoPKvK9HvzT9g\n/8LH0DnwM3AqKYswHo/r2ujRRQRsNN3hcOjyMskWXZYdmswEutOUUUPmYDCo6dhERNOs+Ui2ZNrb\nVFCcWJoo7e3tOHHihPrfsWPHsGLFCpx22mn4+9//3hVrzAizQXGFgM83QE0cl2VZTVOyWif9vMLh\nkNVAx8kAACAASURBVGVZI7FY2e5NQFJIyLbWLEjCa87R3OxPtpTrDMP1yA3o+59XcWDJ0+gc+BnV\noiSiyU7MZIe8sdNoWevc5xuAyspKOBwOxGLJPM5UJ34Xyss9lkPjWNGkLdVcB4nM3nuF/r4UZIal\nRUqP9aDZs2cPbrvtNlx44YW5XlNOKIaGubxmyFbrpCPaVtYYG8BhoR9jdN1EIqHOWiIEAskRx3Jn\nCENW/whSPIaDi9cg0csLF9VtifbL0s+NFTt6W8/7mayP9vESH6odq45XSsuzlnOF2XuvGN6XgvSx\nHWxiGT16NPbt25fLteSUYmkgYWed9FaeDvDJsqymKhklyvMCTGRLT1twRpVCkiTp1iRJgKO9FcMf\nXYiOQaPx6bfuBBwuIJbq8M97bgB/uiY7XZWXG6rrY5pGpyteZJ3tSWDXrWIHs9e0WN6XgvTISEij\n0SieeeYZTJs2LdfryRnFkpZitU7aqmTbfMmywzTazG6ZCWRLD+iFjfgiSUS7vNyjW1NVqBV9HpiN\ntnNmovni72ky7HmWp5U/12y6qtF9Ytdu5Xekj6FFlF1zLjB7TYvlfSlID0shPeOMMzQ/K4qCtrY2\nnH/++bjnnnvytrBcYNWYozvexGZdg3iwFVL0Vp5NbGdr4ONMezqacDisCltHR1itTz/llFPN79EH\nm1G17BIcv/RWBM/5GpxUYxIz2AYmvOg6/X8evJxTqyYi9L0x+kLiWd3ZYvaaCvEsPSyFdMOGDZqf\nJUnCkCFDNGMmigW7Y48L6fq8Om/ye6OmI8mRH9A1MKFRlASi0VTaEMllNV3TpueBB78H3PIU+p7z\nJfQ9ed2WlmbutVjxIhhlANi9L1ZNRHjWpdEXkpHVbYfu/lIWFA6WQjpixIguWEbX0N2OfrvX531A\nrT6w7LmTouuiREzSNGB2Ol3qTCUCaUMHcITshQeAP/4KuPdV+PsOQpDaVhtVcLHiBUAzUTTd+2KE\nnRxcu19IdunuL2VBYZFxsKkY6W5Hv93AEt3Ojmy5eX5DWnB5wRhA61Ok81bj8TjKy8vVf7NVVsBJ\nYUgkgJU3Ibb1L/j0pmcQd/RDlBEQowouXgCLZ7nafV3INdiaeUmyFtN0fJN2LM3u/lIWFBY9Ski7\n29Fvdn1aJOhIu9GWm7WIKioqUVFRqSbJ08fzuikpSgKhUBA1NT4A+jnsra0tQKQDviduRsT/CQ4u\nXoNOlwcSE6Rpa0v14mTFnly/rS2girVR0jx7X9jgk1EtPtvWzqrxiBV2Lc3u/lIWFBY9SkiB3Gy/\nsvGNGQXAeCJB4PUE5VlE5MNMkvvJ9Xi9TAl0n1Q6R1VqD6D3g1ejo2YIDi/6PTqjycAV7V+UZRnx\neBzRKL8XJ1mvWQd83n2hh8iFQskoO3meAD+PNN3XxOh4u5Zmd38pCwqLrIT0yJEjqK2tzdVack4+\nggH58I3xks3Jvwlk3Aa5rsvl1sw5MhJXwDhHlPyNPAeSaO9q/RjDVy5A++nT0Po/P4IESWcBkjUZ\nReJ5FrPdxiAdzETRjo4wqqqqTfNI03kNzF7DdCzNbN0DgtIhKyGdN28eXnrppVytJafkKxiQK9+Y\nkX9TlmVIUjJHVNv1SBuZVpRkvT67HaYJh8PYuXOHOoyON26W5FUCSUu27OAODHvsBrR88bs4OvUK\nSEoCSjRZBEB6ifLSkKzGc6Rzn8wS9Hkd7NPFbG25sDRFIKrnkZWQFqqIAvkLBuTCN2bk36R7Z7Id\n54kYpoJCcXU9ZNvPoigJKIp52zxasHp/uAmDn74Dn172E7SPvfDkOVLCy4owm3BP1uHzDcjqPtXV\njcTu3bsQiyUnjHq9Xs38pWyxWlsudxgiENUzsP2unDNnjrr1A4CjR4/immuuycuickG+mlLwmm6k\nC++D5vMNgNvtVkWPFS23263J3SVBKLoBBpBqwJ0uFVuex6BnfoKD331IFVFWtBRFQSAQ0LTto0WT\nbsSRzX3y+5vUYilJ0gbCyHC7bMjFa2hGPhuiCAoT2xbp+++/r3YfB4D+/fvj3//+d14WlQvyGQzI\n9lxGFhG7xQfARLq9mgT3WCyu5oaS7b4kAZIka3JGTVEU+F7+Lfq9+zIO3LgandXDACTPUVVVrckR\nNRr0ZmSBZXqf6CbPPOvcauaTHfK51RaBqJ6HbSEdPnw4/u///g+f/exnASS7Pw0ZMiRvC8sFhfoG\ntvqgOZ0u9UuLl5ifFE0FgMKM5EjVyLOQABZdzinFohj0h6Xo5d+PY/e8DIezXE1vcjqT1i+dI0oH\nrPK1ZeU1eS4rK9eMRiHBLqvzdKeQFep7T5AfbAvpggUL8OUvf1ltm/e3v/0NK1asyNvCSh2zWnCy\nLeQdw2u+7PFoo/J0ihJBkoBYjBKocDuGPnETXL37otfDb6G83IsTjfu4jTzsBJdyBa/JM2lqYrdb\nk1Wwp7tFVlB62BbSiy++GO+//z7+8pe/QFEULF++HB6PJ59rKzqy+YBaBSiIOLA4HI6TwRhtyhDr\nY6W3yM62Jgx/dCFCI8cjNP/X8JV7NSOZiYXLCpaRJc1zVRjdC6t7ZFShRT8nK2vY7F6KiLogH6QV\ntd++fTs++ugj3HrrrTh48CCOHDmCCRMm5Gtt3UomCd5WH1Crc9KdnQBtmzheUr0sy1AUGDYNYc8N\nSOj16R4Me3Qhjk69HK0XzAVaW9Hc2qorAiBVVWztvVkyPV0UwLsXRvfITm+BdLIAzI4VEXVBPrAt\npMuWLcMHH3yA9957D7feeit69+6NBQsW4J133rH1+GuuuQYvvfQSfD4ftm/fzj3mtttuwx/+8AdU\nVlbi6aefxqmnnmp3eTklE6vFrkUZjUYRDodUoWhrCyAWi5+sFydbcn3vTh6y7EA8HrMU0SQSPLu3\nYMiaW3Dkf36EY2fN0PzVKEWKRMmtnj9bmcS7F7x7lM69VhTzSabsWnhfWrks7RQuAgHBtpBu2LAB\nmzdvxllnnQUgGbU3ahzMY+7cuVi0aBHmzJnD/fu2bduwadMmvPPOO3jllVdw8803Y+PGjbbPn0sy\nsVq8Xu18dfYDynZCCoWCGn8n0UJFUXTJ97wtPZDMJbUnokC/f2/EgBfuw6Gr70Pos+ntInIRJQf4\nIma1DaebQseYDvxmGAlbriLqwkUgoLEtpEOGDNEI586dOzF69GjbF5o6dSr2799v+PetW7fi0ksv\nRf/+/XHFFVfgjjvusH3uXJNuNyLydzrXkXdOuiu7ES6XSxMUArSt7ggkmm1U+qmiKKj+2+9R+dYf\nsX/hKnQO/Kzp9XnXYRtIW8Fa0azQ0CLGmyoKGDdizsV2vJAq3ASlgW0hnT9/PmbOnAm/34+5c+di\n06ZNWLVqVc4Wsm3bNsyePVv9uaamBnv37sWoUaN0x9ID+err61FfX5+zdQD2rBZ2q84KJLsdZvt2\n8iCi1draomkLR4JEbJURyS0lH2LdueMxDHzhXnga/4PGG9cgVpE7i8lsW8s+Pfpn9lije202GaAr\nEtzTDYqJpPvio6GhAQ0NDTk5l20hnT59OiZNmoSXX34ZiUQCjzzyiNrPMhcoiqITGF4+JGA82TSX\nmKXWBINBTcMOnjDylk63g6N7gBJI5RJba+5wJF8mOgc0OfIlgIqKSnWL7HA4VZ+p1BnC0DW3QIpF\n0HjDk0iU9dZcy+PxakovjeC18bPa1lZWVmrOS+ZDGWEkVLSrxGzIX66xs20XSffFD2uELV26NONz\npRW193g8uOSSSzK+mBkTJ07Ehx9+iIsvvhgA0NzcjJEj7XUL6iqsxhsTSMDIKNcx2bkp2T2JDhbR\n7fBoIU0k4tzRLrT/lFhGDocTSuAIhq1ahM7akfj0sruSEz4NYEWbRzQaRSCQ6jtqx68pyw71yzGT\nKZ1sPmlXilW6rfQEAksh7d27t6FlKEkSjh8/npOFTJw4EUuWLMGcOXPwyiuvYMyYMTk5by5h290l\n048UdctJGgzH43FdT1AAmqRyIsS0NUsHYGiS13KobfPo4xUFmnLKXs0HMOx316Pt7K+i+UvXA5Kk\nWnTk2uT1ZL8UzCzTeDyGUMi4hR9raWfj1/T7mxAOhzTPvyt9kGLbLkgXSyE9ceJETi50xRVX4I03\n3kBLSwuGDh2KpUuXqqIwf/58TJgwAVOmTMHZZ5+N/v37Y+3atTm5bi4xG+cRiUTQ0RE+OXROP4iN\niAMRF1a06BZ1vAomt9utC+IoSvL3ZPZSeeN/MPTxH8A/4/to+0Jy5+DxeNXKIHJtRVE0JZeknp+3\nrtS1UqLocrlRUVGpCbTRTaHp41nsjvFgH9+VYia27YJ0kRSLMPJ9992HH/3oRwCAP/7xj/jmN7+p\n/u3HP/4xli1blt8VMvB6anYlPCGgO7rT0DmPRsewx5FrsEn2bMI8/dhoNIo+7/8dg/5wDz656uc4\ncdoU3bl5vlDaqnS53BpxNUKWk81MjDraG0F8srQV7HA4uN3z/f4m3XpranxC0AR5JRttsWyj98wz\nz6j/ZkXz5ZdfzuiixQxpG0caIpPtOo0kSWm1aFMUrb+NZ5EZCVw0GkX/fz6Ngc//Pxz43gqNiJK/\nB4NBTXNkAOr6yP/NrkEjyw7dc6Lbxhn5jlnfaiKRQDSanA3V2tqia8HH+oRFepGgkOlxM5vSgWd9\n0gEnI8rLPWqEnnSfZ8dn0MRi0bSDMQCARAIDX3oQ3g8a0HjjakT7DzY8lM5jlSSJWwNvZVWyte8E\ndivM3h9ZlnU5o6mnoJ9NlbyWG7FYzDLlSVQXCQqBHi+kZs012JLOurqRhoPkSOCJiJQdwaVpaWlW\n/21WFkqQop0YvO4OOI81o/GGNYh7+xkeG41GEAhEND5S1sIjea5ETNltjlmWAu8e0h3tq6qq1WsA\nUCcB0B3v6b6rRHDJ/XS53NzGJ+S5ieoiQXdjKaTvv/8++vTpAyA5A4j8m/xczJjlC7IJ4eFwCH5/\nE3eQHDsSmE5JsouiKGhtbYEsOzT5ojwcwWMY+vsbEetbjQPXr4Ti6mV6fMoPqo20s7Dz6cl9SJ5D\n+9x4fzOrYCL4fAN0jUrYY+lafdbFkc+KJ4EgUyyFNB6PWx1S0Jht/czyBdmSTmLFkUmY7LHsuZxO\nly5dyYpU42Ljx7mOfpKc8DlmKpq+tgSwOcPI5XKr6zQbYcyz6NgmJPQXhZGYpdPkhMVu96buqHhi\nEa4FAVDiW3urChWzDyxb0inLMiIR48Rytmac+BLT2d4DKQuMdLSnE/bLDn2YnPB54VwcPe+qNO+G\ntmVdUhz1HabsdEyic1fzIWbpdG8i3fK7Q8iKoXGJEPquwTL9qdBIJ0WBTcshOZU0Vm80NtGcTdsh\n/j5ZdqilkLzgFC0+dqCT/QGg94dvYvDTt+PTb92J9s9Pt30eQk2NDwC422IgKdwkH5UWKB6k6ID2\nccqyA5WV6Q+Sy+SDbhQEzKVg2DmfnfdXd8JONMjHoL9SIpv0p5K2SO1UqNjZgia3k8kPDN3wWN8I\nOa7JsWTfyKyYmUGfu+JfL8D30sM4+N0HEa4bZ+/JM9ABHkBvSQLQbN9JxJzA+oFlWdYEinglrFZk\natGZjWnJhWVo93yFXgElOlR1HSUtpFYVKnatGF6AiZdzyZYy8t7IxGJpbvZbPwFFQc1fV6DinY04\n9IO1iA0YAaThJqDhWcMOhxNut1tXncT7Zo5Go5pGK6mBe/oqLrvk6oOea8FIt9a+ULfOhS70pURJ\nCylg3sXJrhVjlLbDE1Paj2r0Rvb5BqClpUU3MtnjSf49Go0g2hHCoD/cg7LDH2Hf4qeg9KtB2cnt\ndjo+VzPcbrduK0pEg61yYi1S3s/pflBz9UHPtWCkc75CE0+aQhf6UqKkfaRmZOrfYtN26C0+EVfa\nH0XnPAIp/6nf36SxSjUlkMHjCN76ZSQcLhya8wsovfIzZJBX7kmeI3lekiTB4XCq/k/WijdLY7JD\ntr5No/ubLSJI0/MQPtIugv1w0Y1AAHC3uURsaOuX/I2MUY7F4qlOUY44cPsMxIecjkNfuxlw2HuJ\nPB6vYWWSkfXMG24HaFvYKYoCtzuVEG/UlzNX/s50yGcwRYinIB16hJDmwrrgiaGd0SGA3udGAjla\nH2MC7R/8C1WPfh+Ory9Ex/nfgXy01Vb9OwDT8k5iJfNcArwWdZlslbsjsMFes63NekifQJAPSl5I\njSyldMWC/dBa+SlDoSD27NmldrAn16K3D7RIej56G0Of/CEOf/2HiE78FuoG1KLtWJstIZUkCZIk\nmR6b7CHq1gkub1BfJkG67ghs0F30gWTxSEY9C0wQW3yBHUpeSHmWEvlwuFxu3XwhAvsB4kXurYhG\no2hpaVaj4y41WKQ9T99//wUD/3QfPp7zCwRHTwRCyYT5iopKW6lS5eUeeL1e00yAaDSCiopKRCIR\ndfqooigoKyvnCkS6QbruCGz4fANOBgBTmQS5tISLIeFeUBiUvJCylhKgzeMkFiLdzd7sA8Tr60k6\n0NNznAiKoiAWi0KSoAlAtbQ0Q0kkUPWPJ9B/07PYv2AVOgelJnx2dIRRVzcSgUCqtp3nDJekZC5n\ncrxHylXAHkta1pGMA/L3dMeAmG3huyrARFNZWanxk2ZjCbPrEnmYAruUvJCylhLbvYmuEyeBF6MP\nEE9M6ch3Y+M+w+ol9jyB1hbUPL8Mnn3voXHxU7oJn7LswIcf7tCkSNFJ9KnfJRAKBXW/pwfhEXjj\noo0Ewkjsst3C59rKy5UlzFuXyMMU2KXkhRTQflDZkR80ZGImbyYRey5S9kmXRZpt/zXn6QhhxOqb\nEWtvQ+OiJwBvP9RUVSMYDKKjIwxZdpzcfvN8nhJkWe8PZauQrGr96VQtViDMxI4WLvL/XFm07Brs\nimMutttmxRPCRyqwokcIKQ2vGQld054UT+1MIt4HiHRTIn9rbNyniiBJrNd2j0om9Lcf2othjy1C\nr7rP4dgNj6KsM6q7hvnoDgVlZR5Tfy2JYFdUVJ5MmtceR4TWblcsNkXKyv1hhh0rrzt8k2bFEwKB\nFT1OSAF+303Wz5ZOsIVuiJzaPsc1VmIsFoW7+QCGrFyAtrNmQJl9N3wDanXnJhaaUe4n8WvSHeR5\nRKNRNDf7dQ2ZSUWS2ZcEa1nzZttnmnpkZyveHb5J3rpExF5gl5IVUqsPgdEH2KqjEO9DzlqPPD9p\n+f73MfTxxWj+0gIEJl0KT0g754lNLifBK0mCrnNUskdsxFYOKy3GkiQhFosjHg+fnJnEt/Z4vmBW\n0LJJPbI6Jpe+yUxcBH5/E/bs2aX2FhARe4EVJSmk6WwN6Q8aXSJKb6/JvCXeOZJiZ15a1mf7PzDo\n2aX45Kqf4cRpU7m5m6xAu1xuuN3JyZ5kcB0RUzLnPh3oTk1kqXYachhFxPOZepTPAJLVuXgjYkTE\nXmBFSQppOgEN3geNHQRHtra8DyG7hWep3PQsal5bhQPzH0HHsNM1gaDGxn3cPFWXy6VJpQqFgnA6\nXep2X5ZluN1ujZVKsgdoC5mkZQHgpmYZBZp4VjhP0OymHmWyRc5XAInuD8vrn8pmdQD8+yQQ0JSk\nkLJ0dIR12052djotuDzhjcXi6kRQdh48NwsgkcCAjQ+gD5nwWTUEAHTRdKM5RyTAQ4jHY5Ak6eSp\nE9xglJlLgv7SoJtTs/ckHQvOjuXYnUntvBxi+jXn9RmgH5Psuaq/TwIBS48QUjZYQj7cbJs4rzc1\nwZKF5GsSK4/uIO9wODXWnhSLYPC6O+EMHEHjjWsQ91aofyMibZanSo7TiqV5CSi91TfzCec6yEML\n9e7du5BIxDUi3Z1J7WyqFtsakOeOEK3nBJlQkkLKy+dkLU76b7Is256xRIIPdPkmHRmXQ8cx7Pc3\nIta7EgcWPKqZ8EnEmq5WApLbbgKbTUB8pF6vfl48vf7KSv28eZZ8BXlY657uKtXdSe1GX5wAv88A\neYxAkA4lKaSAefNjr1fbco7Um9PTMq3OTYuaOv3z6KcYtnIBToyZjPbLf4JySmCTc9qTIh6PxzTn\ni8Wiqr+U3gZXVFTqeqSyzaXJrCRA63Ml+P1NCAQCmhJVFlq8rfJnedBt9wjE2ss0qT2XqUfsFyfb\nY1UgyJaSa+xslsxOJ6LzuiDZbVlHjgdSIlr28U4MW7UILRd8B0enfVttFE2EjJ6XZPS8nE6n5gPv\ndLrUUSCsOLL5jry+nKylSAJSADRWb7Y9Pdnr0NfKRKhy3WdUDIET2EE0dj4JKf80gmzvSToTTToi\nSo53Ol1wOBxwb2/AkLW349Nv3o72z38RQDLSTj7AdqaHJqurUoGspLDHEQoFuWWaREzJ/3l+SNZS\nTCQSqnVKB3+y9WGSdZEvDF4gKx1y7VcVfk9BvikpIQ0Gg6bfKLSPzqwRMgudWkQi9Kpl895fEFt3\nJw5esxzhkeM1j+N1iqLPqSjQ1NMT6zMpJBFDMWEj4Ua9Adik+WTXJ61wSpJs2FcgHehWetmSD7+q\nEE9BPikpITVqGkLSlOgRIQQrc57O+0z6OU92YEoocD27DJG3XsChRU+go2a47rFGIkrW09ER5vZD\nJeNHjBqL8JL3eb5N2lKUJKjD6mjI79neAd1ZHpnLhHxhhQq6gi71kf7zn//E/PnzEYvFcMMNN2DR\nokWavzc0NGDWrFkYOTIZoLjkkktwxx13aBdsIXzsUDlaCIPBoC4x3ePxqkEeRUlahXQ3e9KUWfO4\neBSD/venKPt0Dw5e+xvE+landR+cTpfGMgRSyfNG0zsBWPpEzeBV7ND3gA5qsednr18M5MMvKoS5\ntCkaH+mNN96IlStXYvjw4bj44otxxRVXoLpaK0LTpk3D+vXrM74G608j98VIREgDZbqLEzmONGWO\nxUhytgyE2jHkyZsBWcb+7z+ORAYTPo0CT6yIAkAsFlNrvsPhUMaRcF7kmrgorMpVSXOUTBPq8zXp\n04xc+1lFt3yBGV0mpMeOHQMAnHfeeQCAiy66CFu3bsVXvvIVzXHZGshsICmRiHPL/gh0IrtRMn7y\nPAm421sxZOUChIeejsOX/tj2hE/eNenWfeT8POjjFEVB6OQYErPR0bwRyYC+Igvgi5rRjKlMBIlf\nu55/Icq1n1V0yxeY0WVC+vbbb+PUU09Vfz7ttNPwr3/9SyOkkiThrbfewrhx43DBBRdg4cKFGDVq\nlO5cd999t/rv+vp61NfXqz+XlZVzA0lERFjzXZKA3bt3WUbWy/yNGPq76xH4wiVomf7d5AMzxKo+\n34pwOKSWvJqlQpEvFeJnZX2hdOSfFjW2IshMkKy2u7wvsa4QolxH6ru7sECQexoaGtDQ0JCTcxVU\nsOnMM8/EoUOH4HK5sHr1atx4443YuHGj7jhaSFnq6kaquaRksmYqsp30dZIRHLIs20rA93z0Doau\nvhlHvnYTjp0zM5unCEBrfTqdyRpwMyHXjxdRNA042N6obKEAkApKEUvW7lY1KRgpHzKNnXPwAoBd\nJUS5tHhFClXpwRphS5cuzfhcsvUhueGcc87Brl271J937Pj/7Z15XBRXtsd/3Q0Ijci+KaiYuBFB\n6EQRASHqQKJxTD7GKG5JZFziJLjxxiVxRuOMzjgaHTMRl8lLYsT4DImJS4yBEREBFQciLiRqFAFF\nlhZEEaGB+/7oqbKqunqhG7o77f1+Pv2BqrpVdep29+l7zz3LJYwYMYLXxsXFBXK5HPb29khKSkJB\nQQGam5s7fK+goH6Qy515U1JA/aVW5/dkah/pv1aPwqMI/DQFFTP/1ilKlIu9vT3c3d3h4OCgcUwq\nlUIud4Zc7gwvL2/I5c5s0hJGEXGnzMwoz9nZmU3QIbyXrpV/Mfeqhw8bUV9fxx5rbVVHdFVXV+m9\nBoOPjy/c3NzZZ5HLnX+1DvE+Pr48ezqFwmC2EamrqysA9cp97969kZGRgT/96U+8NlVVVfDx8YFE\nIsGhQ4cQGhqKbt26iV3OIIQLKtwvvnq/HVQqLY74hMAz6zN4nkxD6YKdaO45wGg5hDAr9NwptjCD\nlKOjk4YdlImSAphQ0zbecfWo0JmXPV9bBiNdU1WhgmQWu5htRmEaOt39tSkeujpP6Shmndpv2bIF\n8+bNg0qlQnJyMry8vLBjxw4AwLx585Ceno7U1FTY2dkhNDQUmzZt6vA9mNFUW1sbO/K0t3fQ8B8F\nwKkzL/A7lUnh+/UGdPspH9cX7dGo8CmGnZ29QRFMgHqxiVHsjH2yro4fAaVStYjGzjNuU2JlRlQq\nlUZt+/b2dshkMq1Z8MUUhlBBMv6nQoVpi9NdujpPMQabirXX5ivJ+EkK4/CFReqkUins2lrQO+1d\nSJruo+zND9Bs59jpz8D1I9UV/w889oNlfgi4bQz1ezMm7l1sEcuWFKY2xD4jujwkKLbDr8aPtKvR\nl91cLNEvN1pJrnqIPv9KBno+jRuzP0Bzi2EjTENh3ihuvXkmkxQ3vykXXVNpJjpKX54AJhOTKSWO\nO6o8maqqYiYKBmtUznR1nmIMZltsMgfchRapVAo7O35EC3fh43HYp1pZ2lffhP9fX0XjgAhg2W44\nu7qLLtoYikTC71qm7DOg6SvL2Dq5sjPZpYRTaa78QUH94OnppVdO5jh3AYlZMOoKmFEdk8lfaFIB\nNBe0ulIeQ6iurmLl5PaxtSh4inVjUyNSMZsd8wVhtrmx5C0tLZBKpeh240cEfrwINS+8hQex0+BW\nU63hSwmI1z3iIpGok4IwC0m1tTXsaNfR0Yk30uEu4DB/ufHywucQPqPYM7e0tKC9vQ1SqYznCSBc\naOtqP05hUAR3+3G2Ku1JWYRtu3rEKrSLiuWBpVB0YVOKFOArGl3F7Zj0dj0uZcP/iz/hVuIaPHgm\nFlCpUFdXJ5rN6MaN61oVqUQiYcNdGxsbUVdXpzECFSpKYeE4Y5WFIecxUVvmmLKKBUUwI05uVQFt\nSVmY9uZY9PHw8NCoWECxbdzd3XH37t1OvabNKVIuuvJ0qlQquJ/6P3j/sBO33tqOh4HBADtCrtEe\nEAAAGadJREFUFK/R7uzsLF7oDmplyU2bJ5FINBSFtsifjipRY0dqTL7Trp6yMgt7TF9xa2ZxgwXs\n7Ox5bmBczDWC5v7gUZ4MJCZEJWrDZhWpWNgnU03U2ckJrl+uh/OPGahYmgbnp0PRXK+/RruYmxIX\n7qIPu4D13+xSnZWejjtSEyYx0XdOa6vKJLuvrusLn4nJhcpdVLOzs+fF++tT6LoSqxgjE4XSVdik\nItUWO9/e3o57NVUI3L8a0toKVK74Cs6+AewXTV+N9urqKkgkhpclkUplWtPTGTtdFQYVcOPuDTmn\ns0d3Ys8EQLRKKzedoS4Fx5ghhH7ApshElSmlK7FJRaptxChtakDPjxdD1d0NyuRPIXf31EiCrO1L\nLqwLr16VJzqnhcLKnp2h0ITmBSbuXt85XWUf1fZMwlyrHTEnCH8sOksmCqWrsDlFqs2Nxr6uEr13\n/B4PB45A1Sv/g/bWNrRwat1z/4ohTAZiZ6eOk2eiqIQjVHt7e50JPIxVaD4+vholT5ydnXVOZbsy\nAknbM3H3ddQma2o/UV9QirmxKUVaXV2F2toajf2Ot35C713vQBk3C/fGzkZ7a8dHK8L6R+3tat/P\nAQMGaVTR5E5juQhdqoQp7Ay16zHVScU8AMw9ldWlpMX2aXtGsf26+sJSPxwUihg2pUjVqd74U0Hn\nn/MR8PkKVL66Eg1h8ZA7OPDCMw0drfj4+PLsfkxFTu6I9PHiiHabnjBnqNCuaKgy5B7jZvUX+3Ho\napuh2LW0KT9d7miGymdIe6o8u4arV6/i4sWLKC4uxoQJE6BQKCwtklVgU5FNQnOa29lv0WvPSpTP\n/gANYfGP9xsZueLm5s6LPmpvb4NKpWKV6+MV6hadkTpiNjxT7HrciC7m740b1zuU7s4ciKX9M0Y+\na3meJ5HDhw+jV69eWLJkCTZu3GhpcawGm1Kk7u7u6tBKQuB9bDu8v9+O0rf/Fw/7qX81pVIpO9UT\n5pVkIqB0KUBuiKZMJtO6cq/vy81VfIxPm1AZdsSux5WLydTEDb005dqdRXV1FS/tH/NeAB1/dmt4\nHnPzzTffIDIyEm5ubhg0aBBSUlJ4uXr79u2Lf//736LnFhYWYs6cOQgMDISnpyeio6Nx7tw5o+RY\nvHgxhg8fjvLycgQFBRl1DYbGxkbMmDED3t7eCAkJEU3iztC9e3e4uLiwLzs7OyxcuFDrseTkZJNk\n6yg2NbX38fEFWlWwT10Ix4oS3Fj0Oa/CJ1OfSZiezpipLzcFn7asMdrseIw/KgBOUTlnjZLKxvhC\ncsNYGYVuTLG8zqaxsZH3wyOVPk7t11Gb5pNmA925cyeWL1+O5ORkHDx4ENnZ2Vi/fj3Gjh2LnJwc\nAOofZG2O5klJSXj99dexadMmODg4ICcnR2ee3//85z9YvXo1GhoaMGvWLDQ3N6OoqAgzZ87EqFGj\nQAjBgQMH8O6775r0XMnJySgrK0Nubi6OHTuGadOm4fz586IK+sGDB+z/jY2N8PPzw+TJk7Uee+21\n10ySraPYVBo9AGh6fypaa2+h4o2NohU+udFG2tLTMU70wi8qd1GJSc4MiMfgM0lHhPdirsPE4XPb\nc1PddaScsNA1S9t9LUlXlEfuDExJnWYOHjx4gN69e2PlypVISUlh91dVVaFnz55IS0vD1KlTERQU\nhI8//hijR4/mnX/lyhUMHToU9+/fh52d4eOm6dOn47XXXsPEiRMBAOnp6di8eTNyc3Nx8OBBxMXF\n4fbt27w6bB2hqakJXl5e+OGHHxAVFQUASEhIwIgRI/SW/Pjss8+wdu1aXLt2rUPHGLS956Z8Fmxq\nag8AtQnzUPa7rVrLJGvL9C60MQozEzHKj7vYxCTjcHBw0IgYam9vF70XoP7VFL5hTBilMXZNoWuW\nTCazuuxFwsxV1iKXtVNcXIz6+nqNaru+vr5QKBTIzs7Wef6AAQPQq1cvTJ06FYcPH2ar+eojPz8f\nv/nNbwAADQ0N2LdvH5KTk3HgwAGsXbsWkyZNQnp6uui5L730Etzd3UVfv/3tbwEAZWVlaGpqQkhI\nCHteSEgIrxyRNj777DPMmjWrw8e6Epua2gNAt6BgQJAlXgyujY4b2UTIYx9I4HG+UEDTOZxJE8ct\nb8ys4AtHhlw7nlhBOOZeHS3jIdbWWhWVNcpk7VRUVMDFxQWDBw/WODZixAjcuHFD7zWysrKwbds2\nLFiwAHV1dUhKSsIf//hHeHh4iLYvKSmBq6srcnJycOrUKRQVFWHbtm3o3bs3AOCVV17ReT9dtk4G\npVIJNzc39OjRg90XFBSEH3/8Ued5N2/exMmTJ/HJJ5906FhXY3OKFHhcelkXXBsdtzwJN+kI4/BO\niO4qn0yFTsanVFcqPOY4U9VUfb54GQ+mLpO+EMknzWZodn7TCUkuMoybMgYEBOD+/fu4fPkygoOD\necfy8/MxbNgwvdcIDAzE+vXrsX79epw5cwazZ89Gjx498P7774u2P378OCZOnIiEhAQkJCQgNjbW\n4JGsoXh6eqK+vh4NDQ2sMr1+/TqbQU0bn3/+OWJiYtCnT58OHetqbEqRcjMOCZFKpZDJZLxRG6C9\nPAmjRJl2XBukTCZDa2sbCHm8eNLS8rjGkq6M8GJ2QrFFJSbenCknrS+enirPLsRIJdgZhISEwM3N\nDUeOHOEp0jt37qCoqAhLly7t0PUiIiKQmJiIY8eOaW1z4sQJ/O53v2O3m5ubcenSJd40XBcvvvgi\nTp06JXps1KhROHLkCHr37g0nJycUFxcjOjoaAHDhwgWMHDlS57V3796NlStXdvhYV2MzilSsEicX\nT8/HuUKF0TPaRq/MiJE7gmRGjMIIqra2Vjx8qHvVX5vdUyyunxspxbSlGY2ePFxcXLBu3TqsXLkS\njY2NWLBgAU6ePIn169cjMjISiYmJbNuWlhY8evSI3ba3t8e1a9dw5MgRTJkyBX5+fjh//jzS0tK0\nKmBCCE6ePIldu3ax+0pKSuDh4YHKykr4+/vrlfno0aN62zg5OSExMRHvvfcedu3ahe+//x6nT5/G\nzp07tZ6Tl5eH27dvs6v1hh4zBzaz2CS2gMPAxL37+PjyqncCavsiY88U0tLSwi46qVQtrAITu5ew\nBpMYhvg/MqNWYeYkwHylQijWxfz58/Gvf/0Lx44dw4ABA/Duu+8iLi4OmZmZvHbjxo2DXC5nX2vW\nrIGLiwvOnDmDiIgIeHh4YMmSJZg2bRpmzpypcZ+LFy9i2bJlaGpq4i0kpaSkoLCwEN99912nPtfW\nrVsREBCAyMhI7Ny5E1988QX69u3Le56//vWv7Pbu3bsxadIk0e+NrmPmwGbcn8Rcirh4e/toJPuw\nt3fQWT5EeC+momR1dZVG2WMh3LbM6FKbWxUjP3cUysC4RQmrjDLXqq2tBUDg5CQXjcE3Nl79ScHa\n3Z8onU9XuD/ZjCIV+oIKEcshqqvjtLX38vIGAL2KFFArO6G5Qay8rzbFrMvX1c7OXuMHgFvmWZ8/\nqbX6dZobqkifPLpCkdqMjVRYcE2IWDinrk7TVk6EcZEyVCbhdcTk1OYjqku5MdmnuHAVK/d5xfxQ\nabw6hdJ52IyNlIkyMhWm1pI2JasOCYWGA74QJvJJGLYnJqchdh2hfVXsOkwpD+b+YiWdtV3vSYhX\np1C6CpsZkTo7O+uc2svlakXBbSORSCCT2bGZ7JmSxmI2U65fqbBkBvM/oF6gkkjAc23i2kjFXKOY\nUadwes8dJYr5iqrtwsbZSKnvKYXSeTwRNlI7O3sMHKiOCb5y5Seeu5NQuYktWulaJOpMqN3S/FAb\n6ZMHtZHqQJjBHlB3DDNSY3Bzc9dZ5E5bKQ9zKDQ6SqRQfp3YzIgUeDyiI0Sdm1RXtiRDKllShWb7\neHh4sCkNKU8G7u7uuHv3rsZ+6v5EoVAoJkLT6FkRJ06csLQIOrFm+axZNoDKZyrWLp8pmFWRnjx5\nEoMHD0b//v3x4YcfirZZsWIF+vXrh2effdag3ITWhrV/WKxZPmuWDaDymYq1y2cKZlWkCxcuxI4d\nO5CZmYmPPvrov647jzl79ixycnJw7tw5pKSk8DKCUygUirViNkXK5DMcNWoU+vTpg/j4eJw5c4bX\n5syZM3j11Vfh4eGBxMRElJSUmEs8CoVCMR5iJjIyMsjUqVPZ7dTUVPLee+/x2syYMYMcO3aM3Y6I\niCDXrl3jtQFAX/RFX/TVJS9jsSo/UkKIxqqZMMRSeJxCoVAsjdmm9sOGDeMtHl26dAkjRozgtYmI\niMDly5fZ7ZqaGvTrJ55tnkKhUKwFsylSV1dXAOqV+9LSUmRkZCAiIoLXJiIiAl999RWUSiX27t0r\nWvCLQqFQrA2zTu23bNmCefPmQaVSITk5GV5eXtixYwcAYN68eRg+fDiio6Px3HPPwcPDA3v27DGn\neBQKhWIcRltXu5js7GwyaNAg8vTTT5OtW7eKtlm+fDkJCgoiCoWClJSUWJV8WVlZpEePHiQsLIyE\nhYWRtWvXmk22N998k/j4+JAhQ4ZobWPJvtMnnyX7jhBCysrKSFxcHAkODiaxsbEkLS1NtJ0l+tAQ\n2SzZf01NTWT48OFk6NChJCIignzwwQei7Sz1+TNEPmP6z2oVaVhYGMnOzialpaVk4MCBpKamhnf8\nzJkzJCoqiiiVSrJ3714yfvx4q5IvKyuLTJgwwawyMZw8eZIUFhZqVVSW7jt98lmy7wghpLKykhQV\nFRFCCKmpqSFBQUGkoaGB18ZSfWiIbJbuv8bGRkIIIY8ePSLPPPMMuXr1Ku+4pT9/+uQzpv+sMkTU\n2n1ODZEPsJyHQUxMDJtjVQxL++vqkw+wrHeGn58fwsLCAABeXl545plncO7cOV4bS/WhIbIBlu0/\nuVwOAHjw4AFaW1vRrVs33nFLf/70yQd0vP+sUpEWFBRg0KBB7HZwcDBOnz7Na3P27FlenW9vb2/8\n8ssvViOfRCJBXl4ewsLCsGTJErPJZgiW7DtDsKa+u3btGi5duoThw4fz9ltDH2qTzdL9197ejqFD\nh8LX1xdvv/02AgMDecct3Xf65DOm/6xSkRoCMcDn1JIoFAqUl5ejoKAAwcHBWLhwoaVFYqF9Zxj3\n79/HlClTsHnzZo28tZbuQ12yWbr/pFIpzp8/j2vXrmHbtm0oKiriHbd03+mTz5j+s0pFau0+p4bI\n5+LiArlcDnt7eyQlJaGgoADNzc1mkU8f1u6vaw19p1KpMGnSJMycORMTJ07UOG7JPtQnmzX0HwD0\n7dsX48aN0zB7WcvnT5t8xvSfVSpSa/c5NUS+qqoq9lf30KFDCA0NFbXFWAJr99e1dN8RQpCUlIQh\nQ4Zg0aJFom0s1YeGyGbJ/qutrUV9fT0AQKlU4ocfftBQ9pb8/BkinzH9Z1Uholys3edUn3zp6elI\nTU2FnZ0dQkNDsWnTJrPJlpiYiOzsbNTW1iIwMBBr1qxh61RZQ9/pk8+SfQcAubm52LNnD0JDQxEe\nHg4AWLduHcrKylgZLdWHhshmyf6rrKzE66+/jra2Nvj5+SElJQX+/v5W8901RD5j+u9XlyGfQqFQ\nrA2rnNpTKBTKrwmqSCkUCsVEqCKlUCgUE6GKlEKhUEyEKlIKhUIxEapIKRQKxUSoIjUjMpkM4eHh\n7GvDhg0AgO7du3fqfUpLSxESEsLbt3r1arP7Y2rj3r17SE1N1divVCrZvvH390dAQADCw8OhUCig\nUqkQFRVlAWn5tLW1Ye7cuey2SqXC3/72N2zatAl///vfNdqLvRfmpq2tDdHR0SCEiMqzePFi/OMf\n/2C3ExISMGfOHHZ76dKl2Lx5M27evKn1WR49eoSYmJiueYBfAVSRmhG5XI6ioiL29Yc//AGAeeKM\nrSmWvq6uDtu2bdPY7+npyfbN/PnzsWTJEhQVFaGwsBD29vbIzc3tEnlKSkqwbt06ve3q6uqwdetW\nFBYWsvu+/PJLTJ8+HUuXLsXZs2dx8eLFLpFRiFi8ujYOHjyIuLg4rZ+B6Oho5OXlAVAn9FAqlbwQ\nzvz8fERFRem8n6OjI0JDQ5GVldWBp7AdqCK1MjIzMzF58mRERkbyvtzHjh3DxIkTERYWhlmzZpl0\njzfffBMKhQIhISH48ssvAQAvv/wynn32WYwePRoHDhxg26alpUGhUCAmJgZJSUnsqFabnEJeeeUV\njesuX74cv/zyC8LDw7Fs2TKt5wq/uMzIvbS0FMHBwZg7dy769++Pd955B3l5eYiKikJUVBRPmRki\nZ1ZWFhslpAt3d3csXrwYLi4u7L4rV67g0KFDAIB+/frh6tWrGue1t7fj97//PYKDgzF//nw2igsA\n0tPTMXr0aF7/CEeNGzduxJo1a3Dz5k0MHjwYc+fORWhoKMrLy3nv5f79+0Xl3rVrF6ZNm6ax//r1\n61AoFPD29kZ+fj4Add6IIUOGwMXFBfX19WhubkZJSQkUCoXeZ5k2bRp27dqltx9tko4mRaUYj0wm\nY7Nuh4WFkf379xNCCOnevTshRJ1wduzYsaSpqYm0tbWRxMREcvr0adLY2EieeuopcuXKFUIIIXfv\n3tV5nxs3bmgkTV69ejXZuHEjycrKIjNmzGD337t3j3fNe/fukfDwcEIIIVVVVWTQoEGkqqqKlJeX\nk4CAALJp0yatcoohdt3S0lKd2fu58nJh+unGjRtEIpGQEydOkObmZjJgwAAyefJk0tzcTD799FPy\n9ttv6+xPLt9//z1RKBRk586dpLKyUqdMDHFxcez/TU1NbKLghIQEUlFRwWvLyJqZmUna2tpIQkIC\nyc7OZvtm4MCB5Pbt26SiooIMGDCA3Lt3T+P927hxI1mzZg0pLS0lEomEfPPNN4QQQo4fPy76Xgrp\n1asXaW1tZeUZMmQI+emnn0h4eDgpLi4mhBASFBREysrKyI4dO8j27dvJqlWryHfffUdOnTpFYmJi\n9D4LIYTU1taSgQMHGtSHtobVxtrbIk5OThopu7gcPXoUly9fRmRkJAC13SkrKwvl5eUYM2YM+vfv\nDwB6kyJLJBKN0RwhBFKpFIMGDcLZs2exdOlSvPHGG+zIZ9++fUhPT0d1dTUqKipQXFyM4uJixMfH\nw8fHBwAwduxYEEK0yilM3CK8bnl5OS5cuMAb0RlLr169EBsbCwB47rnnMGbMGDg4OCAyMhIffvgh\nAO39yZUzISEB//znP3k2wY7g6OgIADhx4gRGjx6NXr16ico6ZswYAEBsbCzy8/MxatQoHD16FPHx\n8fD39weg7t+jR49qZBIDHo/OPT092SQbgwcPFn0vuTQ0NEAmk0Emk7H7qqur8fLLL+PAgQNsXt2R\nI0ciLy8PeXl5WLJkCW7duoW8vDy4uroiOjpa77MwsimVSrS1tfHu9yRAFakV0d7ejvj4eHzyySe8\n/cz021ACAgJQX18PlUoFe3t7AMDly5fx1ltvwc/PD+fPn8f+/fsxZ84czJo1Cy+88AJSU1Nx4sQJ\neHh4IDw8HHV1dRo2NebLrE1OIdevXxe9bmcoUjc3N/Z/BwcHNiOXg4MDm/LMEDnv3LkDPz8/AMDD\nhw+xb98+UZPClClTtF5DqVQiLy8PK1euNEjWBw8eAND8wSOEQCKRwNHRkZe2TalUstmHGFmZ/4Xv\n5YIFC3j3FvtRdXNzQ58+fZCTk8Mq0qioKOTm5uLChQsICQlBYGAgNm7cCFdXV8yePVvvswjv+aRB\nbaRWxEsvvYScnBy29MLdu3dRVlaG8ePHIzMzE1euXGH360Imk+H555/HF198AUBtxysuLkZsbCwq\nKysBALNmzcKiRYtQVFSEyspKeHt7w8PDA7m5uTh//jwkEgni4+ORkZGBmpoa3Lp1C8ePH4dEIsGE\nCRNE5RRy+/ZtjesCgK+vLxoaGjqn03SgrT+5FBQUYPjw4SgoKAAAzJ49G0lJSbyXLiVKCMHevXux\nfPlyNDc3IyMjw2D5XnjhBWRmZuLOnTu4ffs2jh8/jhdffBG+vr5ob2/HrVu3cPfuXXz77beiyon7\nXi5cuFB0tuPi4oK2tja0tray+xwcHPD1119j9+7d7Gdk5MiROHz4MDw9PSGRSODu7o76+nrk5+dj\n5MiRBj2PUqmEp6cnpNInT608eU9sQZqamnjuT8wIhvmSODk5YdeuXVi1ahVCQ0MRHx+PO3fuQC6X\nIzU1FYsXL8bQoUORkpICABg/fjzu3Lkjeq/3338fhYWFCA8Px4oVK/DRRx9BKpXiwoULiIiIgEKh\nwJ49e7Bs2TJERUWhT58+GDx4MLZs2YKxY8cCUJeAWLFiBeLj4zF16lQMGzYMQUFBcHR0FJVTSHR0\ntOh1nZycMGXKFCgUCp2LTULlwd025Ji2/uTy1FNPoby8HI8ePWJr+WijsbERGzZswIULF7BhwwY0\nNjZi+/btWLVqFXx9feHv74+ePXsa/Bzu7u5Yu3YtEhMTMWPGDKxfv54drf/5z3/GuHHjMHHiRMTF\nxYlei/tepqWlae3L0NBQ/Pzzz7xryOVyHD58GJs3b8bhw4cREhICpVLJMyuEhobCzc0NHh4eep8F\nAG9R6kmDptGj6KSxsRHOzs6orq5GbGwsCgoKOt3vldK1HDhwAOfOncNf/vKXLr3PggULMHnyZDz/\n/PNdeh9rhCpSik6mT5+OS5cuoUePHpg3bx6mT59uaZEoHaS9vR0xMTE4depUl9kvHz16hLFjx+LU\nqVNdcn1rhypSCoVCMRFqI6VQKBQToYqUQqFQTIQqUgqFQjERqkgpFArFRKgipVAoFBOhipRCoVBM\nhCpSCoVCMRGqSCkUCsVE/h9R3pLLxdD4YwAAAABJRU5ErkJggg==\n" } ], "prompt_number": 66 }, { "cell_type": "code", "collapsed": false, "input": [ "# 24 hour lag\n", "model = sm.OLS(elec_and_weather['USAGE'],sm.add_constant(elec_and_weather['USAGE_t-24']))\n", "res = model.fit()\n", "print res.summary()\n", "\n", "fig = plt.figure(figsize=[5,5])\n", "p1= plt.plot(elec_and_weather['USAGE_t-24'],elec_and_weather['USAGE'],'.',color=gray_light,alpha=1.0,markersize=8)\n", "#p2= plt.plot([0,4],[0,4],'k')\n", "# only plotting first and last point in linear fit to display clean line\n", "plot_model = plt.plot([min(elec_and_weather['USAGE_t-24']),max(elec_and_weather['USAGE_t-24'])],[min(res.fittedvalues),max(res.fittedvalues)],'b',label='OLS $R^2$=%.2f' % res.rsquared,linewidth=1,color=red_orange)\n", "plt.xlabel('Elec. Usage at Time $t-24$ hours (kWh)')\n", "plt.ylabel('Elec. Usage at Time $t$ (kWh)')\n", "legend(loc=\"lower right\")\n", "\n", "fig.savefig('Elec_Lag_24hour.png')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: USAGE R-squared: 0.677\n", "Model: OLS Adj. R-squared: 0.677\n", "Method: Least Squares F-statistic: 3560.\n", "Date: Tue, 13 May 2014 Prob (F-statistic): 0.00\n", "Time: 21:17:10 Log-Likelihood: -1052.5\n", "No. Observations: 1701 AIC: 2109.\n", "Df Residuals: 1699 BIC: 2120.\n", "Df Model: 1 \n", "==============================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const 0.2372 0.023 10.440 0.000 0.193 0.282\n", "USAGE_t-24 0.8248 0.014 59.664 0.000 0.798 0.852\n", "==============================================================================\n", "Omnibus: 125.400 Durbin-Watson: 0.247\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 550.153\n", "Skew: 0.191 Prob(JB): 3.43e-120\n", "Kurtosis: 5.760 Cond. No. 4.47\n", "==============================================================================\n" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAVIAAAFICAYAAAACmHYSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n" } ], "prompt_number": 72 }, { "cell_type": "code", "collapsed": false, "input": [ "# 48 hour lag\n", "model = sm.OLS(elec_and_weather['USAGE'],sm.add_constant(elec_and_weather['USAGE_t-48']))\n", "res = model.fit()\n", "print res.summary()\n", "\n", "fig = plt.figure(figsize=[5,5])\n", "p1= plt.plot(elec_and_weather['USAGE_t-48'],elec_and_weather['USAGE'],'.',color=gray_light,alpha=1.0,markersize=8)\n", "#p2= plt.plot([0,4],[0,4],'k')\n", "# only plotting first and last point in linear fit to display clean line\n", "plot_model = plt.plot([min(elec_and_weather['USAGE_t-48']),max(elec_and_weather['USAGE_t-48'])],[min(res.fittedvalues),max(res.fittedvalues)],'b',label='OLS $R^2$=%.2f' % res.rsquared,linewidth=1,color=red_orange)\n", "plt.xlabel('Elec. Usage at Time $t-48$ hours (kWh)')\n", "plt.ylabel('Elec. Usage at Time $t$ (kWh)')\n", "legend(loc=\"lower right\")\n", "\n", "fig.savefig('Elec_Lag_48hour.png')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: USAGE R-squared: 0.485\n", "Model: OLS Adj. R-squared: 0.485\n", "Method: Least Squares F-statistic: 1602.\n", "Date: Tue, 13 May 2014 Prob (F-statistic): 2.32e-247\n", "Time: 21:17:02 Log-Likelihood: -1448.5\n", "No. Observations: 1701 AIC: 2901.\n", "Df Residuals: 1699 BIC: 2912.\n", "Df Model: 1 \n", "==============================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const 0.4031 0.029 13.880 0.000 0.346 0.460\n", "USAGE_t-48 0.7020 0.018 40.029 0.000 0.668 0.736\n", "==============================================================================\n", "Omnibus: 10.671 Durbin-Watson: 0.151\n", "Prob(Omnibus): 0.005 Jarque-Bera (JB): 13.370\n", "Skew: 0.087 Prob(JB): 0.00125\n", "Kurtosis: 3.398 Cond. No. 4.55\n", "==============================================================================\n" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAVIAAAFICAYAAAACmHYSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsfXmYFNW5/lu9DDPdLLP2YITI4hqVgBgwgGFcEhO9xBhJ\njEbIVaIker0xhCioiVtCXK6iWSQGE6NBTdREL6AG9RfGGORCiEaRVWEQVJieHnpYumforX5/NKf6\n1Olzqk71Nt3NeZ+Hh5npWk6drnrrO9/yfpqu6zoUFBQUFHKGq78HoKCgoFDpUESqoKCgkCcUkSoo\nKCjkCUWkCgoKCnlCEamCgoJCnlBEqqCgoJAnSkakfX19mDhxIsaOHYszzjgDCxcuzNqmvb0dQ4YM\nwbhx4zBu3Dj85Cc/KdXwFBQUFHKGp1Qnqq2txcqVK+Hz+XDo0CGMHz8e06ZNw7HHHmvaburUqVi6\ndGmphqWgoKCQN0q6tPf5fACAgwcPIpFIYMCAAVnbqPoABQWFSkPJLFIASKVSGDduHDZs2IAHHngA\nw4cPN32uaRreeOMNjB07FmeffTauvfZajB49OmsbBQUFhWIgZ0NO7wd0dHToJ510kv7mm2+a/r5/\n/349EonosVhMX7x4sX7BBRdk7dtPQ5bGrbfe2t9DsEQ5j6+cx6branz5otzHlw+39EvUfsSIETj/\n/POxZs0a098HDRoEn88Hr9eLWbNm4Z///CcOHTrUH0NUUFBQkEbJiDQUCqGnpwcA0N3djZdffhkX\nXnihaZvOzk7DtF62bBnGjBnD9aMqKCgolBNK5iPdvXs3vvWtbyGZTGLo0KGYO3cujjrqKDz88MMA\ngNmzZ+PZZ5/FokWL4PF4MGbMGNx3332lGl7B0NbW1t9DsEQ5j6+cxwao8eWLch9fPtB0vbLC5Jqm\nqci+goJCwZEPt6jKJgUFBYU8oYhUQUFBIU8oIlVQUFDIE4pIFRQUFPKEIlIFBQWFPKGIVEFBQSFP\nKCJVUFBQyBOKSBUUFBTyhCJSBQUFhTyhiFRBQUEhTygiVVBQUMgTikgVFBQU8oQiUgUFBYU8oYhU\nQUFBIU8oIlVQUFDIE4pIFRQUFPKEIlIFBQWFPKGIVEFBQSFPKCJVUFBQyBMla36noKBQegSDnYhE\nIvD7/QgEWvt7OFULRaQKClWKYLATPT1hxONxxOMxAFBkWiSopb2CQpUiEokgHo8DAOLxOCKRSD+P\nqHqhiFRBoUrh9/vh9XoBAF6vF36/v59HVL1QS3sFhSoFWcaXm4+0Gv22mq7ren8Pwgk0TUOFDVlB\noaioJGKi/bZerxf19Q1lM+Z8uEVZpAoKFYxKCyhVq99WEamCQgXDipjK0VL1+/2Ix2OGRVotfltF\npAoKFQwRMZXCUs2FqFm/LQB0dGwvK7LPBYpIFRTKEIQIdR1oaBD7EUXERMgVkF9COyHGfIiabFdp\nbgkrKCJVUCgzBIOd6O4OIZVKAQC6u0MAxCTDI6ZczumE1Arh66wmf6nKI1VQKDNEIhGDRAEglUrZ\nkgwh31xIlJzTCakVIke1mvJcS0akfX19mDhxIsaOHYszzjgDCxcu5G43f/58jBo1CuPHj8fmzZtL\nNTyFAiMY7ERHx3YEg539PZSKg9/vh8uVeTRdLpclyRBrkiZfl8tlHEOGpJySWiDQivr6Bvh8/pxT\nmApxjHJBSfNIo9EofD4fDh06hPHjx+P555/Hsccea3y+du1azJkzB0uXLsWKFSvwxBNPYPny5eYB\nqzzSskc55wpWCmR9pEDaJxqNZixIl8uFpqZmAM6S8csxyl9KVEweqc/nAwAcPHgQiUQCAwYMMH2+\nZs0aTJ8+HY2Njbj00ktxyy23lHJ4CgVCNfm+8oETMmT3i0QiwhcQS3hs5D4fC1EhN5SUSFOpFMaN\nG4cNGzbggQcewPDhw02fr127FjNmzDB+b2lpwbZt2zB69GjTdrfddpvxc1tbG9ra2oo5bAWHqNZc\nQSdwGjCi9xMFfYLBToTDYaRSSaRSqazPj2RrMhe0t7ejvb29IMcqKZG6XC68/fbb2LFjB84//3xM\nnjwZ48aNMz7XdT3LtNY0Les4NJEqlB/Ugy0fMKKtSwAm8qWteUKwiUQmmER/3l9znKvVXQ5gjbDb\nb78952P1S9R+xIgROP/887FmzRrT3ydOnIiNGzcav3d1dWHUqFGlHp5CARAItGLkyFEV9WAVEjIB\nI0JC0WgE3d0hE4kC5qAP7S6hPweQc1Av34AgnSmQSMTR3R06YoOLJSPSUCiEnp4eAEB3dzdefvll\nXHjhhaZtJk6ciD//+c/o7u7Gk08+iZNOOqlUw1NQKCgCgVY0NTXD6/XC4/Giqak566VCk2MqlcqK\nutO+Tjqq7nK54PV64fXWIB6PIRqNoKcn7IjEWBLfunWzYxLMJU2rWlGypf3u3bvxrW99C8lkEkOH\nDsXcuXNx1FFH4eGHHwYAzJ49GxMmTMCUKVNw+umno7GxEUuWLCnV8BQUDPCi106rfsi2xx9/onA7\n2pdMrNdUKsUNGJGfw+EwNA2or2/IK6jHI/GenrDpXHbw+/3o6+s1yNQuTauaoWT0FBQo8FK3AEin\nczlJ/SLBI0KMgLVfmT02sUhzidaLqqB8Pj9Gjhxl2k5mTJXoI2VRMelPCoXFkZ73R1DIeRBZebKW\nn6yVSAePyJLdinDTxzXXz3u9NYZlSs4dDHZaWtH03+rrG0xZAGyGhUzZaCDQekTfewSKSCsU1ST4\nkA8KPQ+i1C3ZdC7Z1C+nhEuW/y6XC6lUyshmCQRauXMAwPS3SCSCWCxmSp2qr2/ACSecKHwRqXxg\neSgirVComzyNfOeBJRFe6hYJwng89stn2dQv2r9o5VtkfZma5jKWoPF4jLJWzXPAWq/sEl4mdUrl\nA8tDEWmFQt3kacjMg8jiElmzom3IEtwOTi1iq0APe31AtpuB3SYWi5nyTXkgc2XlFhG9FJRLKRuK\nSCsUR1LSu5OHHTALBdNE2NsbRSQSMYIpMtasE4vXCcGwqUPxeJxLprzro4mdPhcZW29v1PLcJLWK\nPpaVD5S9RuVSyoYi0grGkXADywY8RNvSRKjrOnp7o6aADFkmi6xZWcvfKcHQxyWIx+MIh8NZZMw7\njmibLVs220ae3W531tzIukWUS4kPRaQKZQ0nDy5vW7/fj97eqEEuuq4b0e14PAZd16FpGrzeGi5h\nyVr+TgmGzgslAaB0ICmJaDRiScZW0f1UKmn6Gy+lh1i/9fUNjt1DyqXEhyJShbKGkweXt20g0IpI\nJGKQKfk7a6laQcbyz4VgiD9WlN7k1Npj3QVWeZHJZJpwSfqUrA9U9sVypPlRVUK+Qtkj16oiNmjE\nRuILrZkqM06rbXIdEzkmYE7T0nUgmUwYL5BEIgldN5ehsqWrhZiXStWjVQn5ClUNJw+hXV8j9vdC\nWk35Nowj1nMymRS6GqxeCKTM1OPJVD3Rrov6er+pmimVSqG7O4RwOGxUJRWjF1M4HK4IIs0HikgV\n+hX9uQQs9fnsSIr4bUnCPB0UI59bBdPIst7tdqO3t9ewPomVRY5Fq0yxdfaAfQDODmwNfiqVzLqW\naoMiUoV+w5GWSmPnR7UjWlEwjRf9p0En/JP5ZevsieWoabANwMmIutA9pI4EVShFpAr9hiMtlcbO\nnWBFtMFgJ2KxmFEiyuaQ0tF/1tfndru5uam0Zcom+4t8hfTLr6+vFz09YZN4Cnkh1tc3GNvxxNmr\nDaods0K/IZ92vMFgJ7Zs2ZyTjmZ/IhBoNbIGyLiJwDIAbldNIqCcSMS5MnuBQCtOOOFENDU1w+fz\no67OZ5pXknzPguSTZnyoDbbfB+tKIIUO7AsxEGgF4WK6nLVaoSxShX5DrgGfXPshlQNYdwad9kSE\nRGgZO4BYm5lou67b55fSkXxaFYpI95Fofvp4Zh+q1ffB+j/J/qxfNRjsRDKZMLap9hWHIlKFgiGX\nwFEu5FfJyuysOyOZTHJ7NNFgV8YyK2WeKlQkEskiQYDvQ7U6Lu3/TI9HQ11dukMw+e47Orab3AOa\nplV18r4iUoWCoJSBo0pWZmf9oKw4M+860tukyTfdZqTGpCcgghVp5wLyovR6a4xjEhJlrWj6Osk2\nlbBiyBWKSBUKglIGjugAC1GXr5SHVCTTFw6HTduxSfZA2qpzudxZgR3Za3e53FwilbHoeer8Xm+N\n6Rrs5AjZa6umqidFpAoFQT5ydrlAVpm9HB9a3jg0LVMDT/tN6Qi8rutGZB5w/sKqqakxzkPDToxF\npM4/cuQoBIOd2Lp1s2HtiuQI6eNVY8qbIlKFgsAuUGH3ADklPNlyzEp4aK2W4HQgJ/2/fMI8Xzza\nb6qEcrncWRkCPMk+Wp2fDijx8lEL0Yql0qCIVKFgcOKvox8gp4Qnu32lPLR2flO6Zh5IW6dWCfME\ndFBOFJknP5PUJFq7VdM0U1K9x+NFbW2dKaDES/6nU53Ylx3bOZWu4CrH1YMsFJEqlARWS3+nhOdk\n+3zLHYsNOoAj8jlGIhFEo2bCshPXCAY7EY1m5kXXdfT0hE1LbvaFpOswlPV1XYeu6yYrlPVFs6RI\nhhSPx42UNNFynxQQ8NwZ5bx6EEERqULJoOuwfSDtCI/Uo7PLTNF2duWO/QkrlSTW7cGWgdrNE+/l\nouvIImiz39ObVRXlcrlNVigN1rpNE376vDz1f/ra6G1l08DKGYpIFYoOXuthGqJINk/liDxwLpfL\nshmdE73R/oJTS9zj8aKmJp16ZLf85SXO19TUmCzQtBXsNRF5OBw2rFIZCTyW8Mk5WUJOJs3CJbmk\ngZUzFJEyqGQ/TX/Cat5kVI9E0nBs9Q9BKpVCbW2d8DuqBCV3uzGStCi27zwvkMdrPUJbfcQfyUbe\naWFnIJPsL7Li7Z4P2idLVg3k7/T3LvPyRGQf8JsfAl/7ITDsOOcTXEI4JtJkMnk4n636yvQrJcpb\nbrCbNzsxDitpOFEiuQw5ilwJ/Q2aMHgK9WQbYsUTiF5CormPxTI97olcnhXsrHjeuch+fr/fJMVH\nQFu87PdlmbWx/nXgnpnA6V8Emj5hOe5ygBSRrly5EosXL8abb76J7u5uAEBTUxNOO+00XHXVVTjr\nrLOKOshSoVKivOUCcvPT7X9582ZlffD2ZYlX180+N9IF0y7tSeRK6E+wZMSrrQfM9yKBE+k9Xv8m\nFrFYzBTgYZf6duciBRFk/+wIvlv4ohDOSe9B+P+0AP5/PA18fzFwxn9YXkO5wJZIzzzzTIwZMwbX\nXnstTjzxRDQ1NQEAuru7sWnTJjz55JP40Y9+hH/84x9FH2yxUQnLwXJBR8d2ow8SL8eQhUig2Gpf\n4gONRCImy4y3pLcKopTTC1F2bGxE3O12c18eonuW1SNg4XK5TMn5vKU+v3AgkwVB9qP/p0FU92nw\nXANkTmr2bMewJfOhNx4F/PrfQEP5rCLsYEukr7zyCmpra7P+3tTUhClTpmDKlCno6+sryuBKjVzV\niI40BIOdps6chAR50V2rB4e3L2Du2w5kkwUg7l0vY1mVAiJfouzLWvZeFG1HB5t4vYiIj5kO3llV\nowHIyoJI/y2bQIG09cyOmX750m4Iv88H36u/R9MLv0T3l6+HdsHV8FUQiQISRMoj0Vy2qRQo8rRH\nJBLJUvbhWUsi/x1LJvS+dJI3sdjI0pd+oK18qjKWVTFh5bd08rIulIKWpmmm5HoC2odKxkTPrVWp\nqug8xFplNVDZl69hje/dg8DPr0Q8tBu75z2DAaNOqchnUDrYFI/HsXr1aqxevdqwQDVNw49//GOp\n/Xft2oWZM2ciGAyipaUFV199NS677DLTNu3t7bjwwgsxalT6wbn44otxyy23yA5RoUSQVfYRLWOt\nyMTOYuO1LObt058Po93yvRRjo5f2pCqJJNkDmaU9vQ2dLsUrVSWgvxc2hQngp2bxXr4NG18DHpsP\nXDAb3ttvwXBPefmznUCaSK+77jrs2LEDU6dOxcCBAx2fyOv1YuHChRg7dixCoRAmTJiAadOmYdCg\nQabtpk6diqVLlzo+vkLpIGtVWZGik6WqnU+1v10y7DK+HHztvDzNvr6kQWbElcIqOtHVULW1dVm5\nqLwsCJl5N/l8Y70YtvQ+DNq2DrjtOeBTny3CDJQW0kT697//He+++27OaU9Dhw7F0KFDAQDNzc04\n+eSTsW7duqyIf6GTp1VeaOHgdC7JNj09YTj5Wq3yUHk137x9iglW2IOo9ff19ZrG0p/3Ha/qiF3a\n87ZhwUrvsbmlTt0PiXdeR8vv5qLvhInouvNltBwz2tmFlSmkifSss87CypUrcc455+R90vfffx8b\nNmzAhAkTTH/XNA1vvPEGxo4di7PPPhvXXnstRo/OfaKLkRd6pBJzvnOZSMSNPEOe0pCsNVPKvFBR\nt0x6HujlL2lrTNeU9ydEZaa0lUxvs2HDetP+0WgELS0Bk9Was3WdiCPw0kNILluEzq//COGT2+A9\nFIdeJW2abYn01FNPBZC+SRYtWoSjjz4a9fX1ANLE98477zg64YEDB3DJJZdg4cKFWV/Kaaedhl27\ndsHr9eKxxx7D9773PSxfvjzrGLfddpvxc1tbG9ra2rjnKnQazJGcsC87lyz5WOU5ys5lf1h4ovGx\n18N2yCzTalSpOaQrkcjvBZn7D98D7r4cGNSIj25eigM1xL/av6lp7e3taG9vL8ixNN1mLf3BBx9Y\nLrdHjBghfbJ4PI4LLrgA559/Pq6//nrLbXVdx9ChQ7Fz504MGDAgM2BOKocIVqIQuaCjY7vJh+Tz\n+bnJ1NUImbnkbQOAu18uc1mM1YDomKLx8ZTiac3PpqZm2/Sv/oZoTMFgJ0KhLiPFqbm5xfHqwQRd\nB15cDDx6MzDjNuDL1yDYFSzoM1lIOOEWFrYW6V/+8hdMnjwZp512Gjye3EvzdV3HrFmzcMoppwhJ\ntLOzE4FAAJqmYdmyZRgzZoyJRJ2i0JZMOQQR+gsyc8mzPunUJZEupcxcFmo1IBIuZo9pNz5aMMWK\nmGTGXEqypTuwRqMRoy89kL7m5uYW0/yQNtEyEnem6/BqwP3fBkIfAvf/HfjkSab9yu3lki9smfHD\nDz/E9ddfj02bNuHUU0/FlClTMGnSJEyaNAmNjY3SJ1q1ahWWLFmCMWPGYNy4cQCABQsWYOfOnQCA\n2bNn49lnn8WiRYvg8XgwZswY3HfffTleVgaF/KKq9SaQhd31isiHt5/TuSyEm4YmNla4mD2mXfaA\n1+tFJBIxCgPsyjxFYy61H59t7Zw+LxljpmSVp35Ptue1v6a3r3nrFSSfuhXuL14B/PhZ4DBRE1Tj\nc2O7tCc4dOgQ1q1bh9WrV+ONN97A6tWrUV9fj02bNhV7jCbkY34rFB/Fsq4K4aZhl+sALIWL7fZn\nE9BZ6xTguzWyRZv5Lo5c5pK2OHmuhq1bNwurkejz8+aKBq+QojfchaFL78fATf/Anpl34ZMXzChL\n14YIRV3aE/T29mL//v3Yt28f9u3bh0984hMYM2ZMTidVqDzIPhDF8g8WYjXg9/tN1TUEpMWxnT+Q\nLURgq3R4giRshZVsOWuuliptcaZSKYTDYdN1WYENnFmBvWbv9rcx+vEb0XvMGGz74TPQfYMPV6nl\nrnpfSSRsS6RXXXUVNm7ciEGDBmHChAmYNGkS5syZg4aGBrtdFaoEuTzUxViyFmL/SCRiElsBMu0w\n2L5FVuWdgLmqhyeW0t0dQlNTs2nZL1vOKusWYPdjuZD8nl3U4DZEomOxmNETip4HFh6P1xA6IZoH\n3cE9aHzlETT9/Unsvng+9o87L72xrvNLQiVRaRkytkS6c+dOHDp0CMcddxyOPvpoU/qTwpEBq4da\nZDUUS4EpXyuF+P+s5P9kyzvZZTzdAgXI5JXS+8mWs9oFu0REU1/fYFrak8wJtqihtrbOIPj0Mj67\n7Ja13gnxJpNJeL018HTtxDGPfB8p7wBsm/snJOrN16FpGjweT07B2XJW8OLBlkhXrFiBVCqFDRs2\nYPXq1bj//vuxfv16NDU14YwzzsAdd9xRinEq9CNED7WV1VCMDIdCWSm85HpR/Th9rTRpkp/ZwAxb\n+ScTxLIao2i7XHQMRI0AReROW+8Z2bwYUskk6v7+R7Q8fx9Cn/82QmdeBjDXTfyzvLHIvAwrLUNG\nykfqcrlw6qmnor6+HkOGDMHgwYOxfPlyrFmzRhFpEVEuPiLRw2llNVg90LleV6GtFKsxivyapAyU\n7o7JWnvpjpq6kY8pOq8IHR3b0dfXa7IaWdAyeawEHi+/t6+vl1JvMm8jmgfaejfKTHu6MPxPd6Cm\n6wPs+u9HoY84BVpvFICG5mY+cbJjkXkZVlqGjC2RPvjgg0aU3uPxYNKkSZg8eTJmzZplVD0pFB7l\n5iPKZfmZz4PEg6yVwusBJXogrR5iApYoCXjqU8QipSXnnPRup6Pl0Wg6vSrfog825SmRiGPr1s2W\nXUt5Y+x59Y/w//p67Dvti/hwxs+gewfAdZigvV5P1nF4cPIyLHfypGFLpDt27MDXv/51XHvttfjc\n5z5n+mz58uX4j/+ojFYAlYZK8BHlYjWw10VHlQtxPqvGebm+kHhEKVKfov2uBOT7Ewkb0yAWr+h3\nAlqEhG0sxxIhLxgfj2drH5B9s150QwYDj9yI+lXPY9fMu7B/9Hhje6ctlCttyS4LWyJduHAhgHQd\n/GOPPWZYoU899RQWLlyoiLRIqJQbLhdSoqXZUilzm958z8cSdSH6pbMETv/MWnR0HicB8S/SeZmi\nsdTW1mVJ2fEg67eORCLC+n/eGNj5i29aCzx+IzBqDPDw2xjQG4OXk6gvUthnUWlLdllI55E+++yz\nmD59Op588km8/vrrePzxx/HKK68Uc2xlhUL4K50sOQmserdXIgKBVvT0hIXWVL5gCUbXYfgrc30h\n8QJNQHrJ3NMTNiXah8NhY1mvaRrcbo/RL543VhYkGV7kI7XrQJpFhBThySScG/N3qA+B15agaeXv\nse/yO7D30+fB3xszzsO+LFwud8FehpUIaSIdNWoUnnrqKXzlK1/BMcccgxUrVsDn8xVzbGWDQvgr\nnSw52WhytaG+vqEw0mwc8HI96T5DuVRDkeU4HWii0d0dMr5Pelmv67rRyZPt6KlpGiKRCDZt2mBo\nq9KZAED6PhD1purr64XL5c5qMEe/SFik58EFXRc3xQsEWuEK7YJ/0bVwezzYe+dfsdczEPHeKOKH\nr40lU5fLJcwrL5eAabEhLaNHsHfvXqRSKUycODEnGb1KRCH8lU6WnJXgH80HxV7e0WWLZB5zKf3j\nNfnjgW3TwX5GatNp6LpuCiqRn+l+8ezLmw168fJURRZj5rwpccdXXQf+9iSaf/19YPpcYPoPcGDn\nB4hHM/m11ZxUnw9siXTZsmWlGEdRUKi3YSH8lewxvN4a4THLwT9abEsi32OWIhcx7V+UI2CXyw2A\nT7bEaiMERqdHsbAqDOBZm1ZFAzzREQBwu93ZHV8PhIGffxfoWA/8bAVwbFpYSDSHVsEugmo3CGjY\nEukxxxxjW4MrypfrTxTybVgIC4p3DBEZ9LdDvhwtCbYtMHlA2fYe7PbpWvYakyyc7JxaLZNZpFJJ\nocWa/jwFTUuTKQkg8URBNE0zxsrmidIESVY0di8Iz+GGcqQElCvO8tbfgHv/E5hyETD3UWBAJsBF\ntmN9vLIvKVERQLXBlkjPPPNMtLW14bLLLsMJJ5wAtzv95k0kEtiyZQuefPJJtLe3Y9WqVUUfrBMU\n6m1Ik12++XwyOYwynxUb5WZJiCTdgIwwB2D2i9JEQ4IydqlH5FzsCyydh2lPlHbQ9RR0PT0+LyMt\nR0A6snZ0bOceMxBotQ1UigS2s7aPHUqLLrf/EfjB74DTvyAcO6mxZ10JJOWL+Ilp/26+/ulKgi2R\nvvbaa1i6dCnmzp2Ld955B263G7quI5lMYsyYMbj66qtx5513lmKsjlCI5XG+llmlOtrLwbVAgyZ2\nHlKppJBoSa4qscjI30QiIOz3DaRrzGOxmHA5zsLlcsHtdgvHzEbT6f38fr/hm81cX/bSWXQ/selX\n5FqzjICO9cDPvgkcfRzw8NvA4Cbh9ViVo3Z0bDcCbHQBAb3PkSB7aUukbrcbF110ES666CIAwP79\n+6FpWlYb5XKDk6W0CPlYZuW4PJZFf7sWWFgtse1Ii2Q9sD3V6ZcDuS/ocxACJpaYrFYlr8WKLGjC\ntBqvCOSeY3NYTfumUsBzDwJPLQCuuhf4wreyJaOYY8ZiMWGASlRAUG4v42LDce+QwYMHF2McRQFN\nnrloI+ZzM5Tb8tgp+ps8aRABjWQyaZJ/A2CkDVkRFst/breHm2pGB4S8Xq8ps4JHoiy5ErUlct/p\nujOxYBJnYIsW3G4PIpGIbeECOw/0eAAAXR+mfaGxXuAXa4Cj7Htk9fSEkUjED2u2ZvtXRQUE5fYy\nLjZyb8JUAaAfEp4Qrx3yuRmOtDdyMUH8balUCm63O0tJSFRGCYBLsHROJ5tS5PF4DTJIJsXHJcn2\ntMVaW1tnyvdMJLK7jFqB+G/ZWzOVSiIajdgaAOw9ZyK9154GfnkdcNF/A5fcCLjtH312bsj10bAq\nIKh28qRR1UTK+mlyiSD2Z6RfIQ3Wuu/pCZsViSQCPTTo7UXks2XLZsvjpuMECbgPExLJCyXVTcRv\n6NQ/yOYY0+OVFfkw3XORfWkC3bwG+Mly4ITPCPdnXV+yxsCR0knXCo6IdM+ePRg6dCgAIBqNln1l\nEy93k/y9FMSmyLMwYEVDkskk4vGIMPqtaRrq6nxCvypJCQKyK6GIG4itROJB1/UsgZKurmCWJqkT\nsDnGPJEUK5juufWvA/fMBE7/IvDQm0CdeF+RT5+4VKo96p4vpIh0wYIFGDduHD788ENcddVVAIAN\nGzagr68PZ555ZlEHmA+KZRXapZ4oK9QeMvPEqytnVe15aG5uAQD09MRM7TEIaB8rsSAzpZwpab8m\nrYZPw6mFTEPURM9R0DQeAx6/FXj5MWDOYmDiBcLziQJtJM2JuFScSAEeiZAi0osuuggrV67Eb3/7\nWyxduhRExSbAAAAgAElEQVRDhw7FhAkTsGvXrrImUqDwVqFVNL6SI/UsivmwyMwTr5Ecq0ZPRElY\n0MRALDpe1Jmn1ATYL8fTlUniz0VE7PP54ff7heWbZOyAdXqT5dzt3JROa2oeBvz630BDQDhONtBG\njzuZTJpcFMStIHuPH2lkK0WkJ510Ek466SSMHj0a5513Hvbs2YN//vOfmDx5crHHV3awisZXeqSe\noNgvBJl5sspdJJ8TQuzqCpr2Ncv0pf93uVzweNLLZkIIufhX6WOKyJRHonSDPJfLLTwv8bOK5ls4\nd7oOLP0V8IfbgSsXAF/6tmVaE3ssdjwksMd2OJX57qrJoJCFIx/peeelOwQOHToU06ZNK8qAyh2s\nv45e8lRLpL7YLwR2noDs0k0rvU12mUtbUqQEk/WPEmKgU+BE1UX5gmeR6joQCnVJlVPzBJcJuPPS\nvRu470rgwF7ggTcQrBmMyI4OW2vQTv+BVxFFMiis7vFqMSicoKqj9jzku+RgywZFZXO5FgGUA4r9\nQuBJ3fGsF12HKZLOs3RYYRG32224AOjSTk3TTMSavrZMT3mCTJO3bP+rprmgafY+UJ5FysrrEbJN\nk6pmkrazIp+se2zrG2mxkf/4DnDZzQju3evIGuTNMXv/Wp7fhuxZY4NGJT4bIhxRREr7xERiFzIg\n0cwoR16MPl6lLnFKkbpFjklL3bF+uETCrMfKs3R46Uvk+IQIrHySrDYq2Z8tKwUAj8edFVHPNbBU\nV5fOeCEvKXqMPLV5Nvik9R3EoCduAd5bC9z2HPCpzwrniAfRHPO2Ye9fu/tBxtio1GdDBEdEumbN\nGqxcuRLz5s3Dzp07sWfPHkyYMKFYYys46CZgROwi1y9Pxmqr5CVOqW5q3jyK5o23rR3pBwKtCIW6\nuOdOP8D+LKuMgPW9ZqzYGiQSibyi8zRYXy2tNk8Ih+SWRqMR1HX8G8OW3ITeE87AwTtfhl7rR+Sw\na0R2NcGbY5rcenuj0DTNNofVSsFMZGyIzl/JkCbSBQsW4N1338Vbb72FefPmYeDAgbjmmmuwbt26\nYo6voGBdU/ko/zld4lSyz7SYELlDePMmmnMr0k+XavKjQslk0lSBRD/MvNYgJAOAqBrlA1rImS4l\npa3iLNWrZBwtK36DhtXPYvfXf4QDp54Nb18M6Mu4RurrG7gtSFjYvcCIQAub7cBaxlZWpdX9X23P\nhjSRLlu2DKtWrcL48ekOgo2NjYjFYjZ79Q9Eb8n6+gZTewRywzo5Bg3ZJU61+IGKBZ4VCfDnTSbn\nlN6GLClZpOvq3SbiiEYj2LBhPQAIA0K8LqH5gPbFsnJzNLHVBHfg6CU3Iekfgu1zn0ZiSMth8oUp\nRam7O4SmpmbbaiPRC4zuCACYRaABM3Gy5xYpVLHfC08rttKfDWkiHTZsmIk4N23ahOOPP74og8oH\nIik08mU2NTVLJYIXWhRawR65Bh9E37lIfYnWKBWRIs/iZFOCCg32nH6/H/HYIQz8+1MIvPBLdH3p\nWvSceQlSh7dzuz1oaGgwXSev/YgIdHCJBIMikYxuK+vuYP3Z6Ui/19KqtMoP5opMVyikiXT27NmY\nNm0agsEgrrjiCrz++utYvHhxMceWE1jfCy2FRid2OzlGpftvyh2sH5D3ArR62Ky+cxYtLQGT+8AJ\nyCrGTm0qV7BkFPBqGPLb7wHdu7Hv1v/FUePORB/VjI8YzfRKC5C/Z3kvIJLxwJt3UWDPycuvWp8t\naSI999xzMWnSJLz00ktIpVJ46KGHUFfH77nNw65duzBz5kwEg0G0tLTg6quvxmWXXZa13fz58/Gn\nP/0JDQ0NeOKJJ3DiiSdKnwPg5yg6/eIK5b+ppvSOYoGnfs97AQLyqkfkGDRY6ycXMiR9mZwSMAue\n/J7L5TZbZ/+3HFh4NQac95/AjNswgMp5ZVXMiGHgtDOrXdEDi0K4qqrNN0qg6SWSr96zZw/27NmD\nsWPHIhQKYcKECXj77bdNAtFr167FnDlzsHTpUqxYsQJPPPEEli9fbh6wRB20yCFuJVySS895uzFU\n4xJGhFznq6Nje1bvIlYLFEh/783NLVI+UiDznROSIu2CRdukAz6ZIIvH4zW1F3G5XIZbiNdrSQSf\nz2/a3uPxZrkTfD6qjU1vBHj4B8C/VgA3PA6ceqbl/UzfV06/A7ZENO22sBb2KYRxUK4GhhPtWBbS\nFum7776Lhx9+GKtXr8ahQ4eME8u2Yx46dKihHNXc3IyTTz4Z69atw1lnnWVss2bNGkyfPh2NjY24\n9NJLccsttzi5FgO8L8cq+bsYOW3VuoThwUntvK7D1IudTd52udIPM6sFqus6QqEuhEIheDzurBeT\n6DunX4xs7b5ddDuTa5k0epXR47WDy+VCLBaDz+c39rXyy2LLP9N18p/6LPDrfyMY6UN4y2aD0O3G\n7fSe5eV7Zu7Z7O+xUM9JOZFnoeDIR3r11VfjuuuuM6nn5IL3338fGzZsyMpBXbt2LWbMmGH83tLS\ngm3btmH06NGm7W677Tbj57a2NrS1tVmezyr5GygO6VXrEoYHu/ljk+JJn3c6uZsmBlHjt7S1oCMe\nT5mOwbNw2IeVN0YrXzkdWQbS32NPT9hEZFbtT3RdN3rPp1JJNDU1G2OltQBcLheQTCD8izkY0v4H\nuP77IWDq10wJ8wQy43YKNt+TPReNajMO2tvb0d7eXpBjOUrIv/TSS/Mm0QMHDuCSSy7BwoULs8iF\n11yMl4ZCE6kTiMjN7/dntb7NF0dS6pPdS4NNOGebubFzI2P1kWOwSeQionHyYrPrrEB3ymST9tPK\n+eYeUqmUmfgBGD7guvBuNP12DlLeWmyb+ycMGX0yAsjNh5srePPNmyMZjYRKAmuE3X777TkfS5pI\n7733Xlx++eX44he/iCFDhgBI3zRf/epXpU8Wj8dx8cUXY8aMGbjwwguzPp84cSI2btxoiKN0dXVh\n1Kjc3r5WVgrtb+ro2J7T8WVQbjdXsXxTdi8N+kUF8EsgRccD0rmbbDtkcgw2iZxVT+Jpmtr5/2hS\ncdpZgeSC8lTuCekGAq0ItASAFY8i8fBcdH3+Kuw98zLA5TIKAeiGc3bI53tlczoJRFVigL1GwpEI\naSJ96qmn8Pbbb8Pr9ZqsUlki1XUds2bNwimnnILrr7+eu83EiRMxZ84czJw5EytWrMBJJ50kOzwT\nrHw5vFpf2urgtb6tBhS7ttnqWOQzno+UHh9NBiKiI5YcLbLBLkt7esJCv6hoWczLHiBwuz2oqTEn\njpPtWRBfJk+BCki7NbQD3fA9/H3UdH+IXf/1O/QOzbiuEom4oRLFQlSDn+v3mktA1M5NdqRCmkj/\n+te/YsOGDTkv7VetWoUlS5ZgzJgxGDduHIB02enOnTsBpH2wEyZMwJQpU3D66aejsbERS5Ysyelc\nMr4ctq9OLv2cKgmF9m85tYJE5EiORR7ovr5ehMNhLtlaHYMG4SAn12y1lK6pqckiYKvt4/F036Wm\npuYsUvRt+Dvq/3gb9p32JXz8rXuRcLnTLZJN4+dHjukafN44nH6v+ex7JMUAZCBNpGeddRZWr16N\nqVOn5nSiKVOmSC1T7rrrLtx11105nYPA7ksOBjtNPXmIhiXZtxqXKIW88Qtt3dIPNAnQdHeHhIRK\nxhCJRIRlysRlY1d5Q8BmD5CxiPaz8+OSCiO325Ou5Y/1oXXZQgx+dyU+vHwBoselA62ew7mpomeD\nrnXnlTTn873ms++RFAOQgTSR/uMf/8AjjzyCo48+GvX19QCcpT+VEnZfMq0CBWQ0LKsZhbzxnVgy\nspYrm8NHCJVX7sjmP7K+xEQibvRir62tk6rn5vnPrcZNbx+LxbIk98jc+Hx+DNy9Fc2PfB+Hhp+E\nD256HvEBA4HDgU0g0wue9iMD5txVci5W15N1mzhBvvfEkU6eNKSJ9MUXXyzmOAoOq2Uk2yGyWErp\n5YZC3fiyloxsfqmVmpJdGg6x1sjPNFKpFGKxGE44Qa46LlciSRcVmMVHdF2H1+1Cy98excC/Pox9\nl92OzpPPSpM/MkpSaeWptM/X7/ebRHXolCmZFUAika37WehrVuBDmkhHjBhRxGGUDmwqDpCOPlr1\nyVEwQ8aSYXNHRZYr62skpEii3jJpOGTJy6YiAfZSiYXIZKDHk05/8sC3P4jWx25EzYABwK/WobMn\naiJ/GrxST/q9YrcCqLb8zkqELZFOnjwZq1atwsCBA7NyOjVNw/79+4s2uGKA59tSN589ZKPqdGoM\nTRgyvkZRy4tIJIJNmzagtrYOI0eO4hI52xKDwE4q0UopzIlVl65YSkBPpTDwn8+h9fn/Qd+0a1Hz\nrVsR7A4hmTwg3J8XjaetS7sVgAr89D9siZRk/h88eLDYYykZdB1SAQVZlGvtcK7g6Q44aZ/ME+UQ\npdaIrFvzsjlNztFoBB0d201kSs5NEt5p+HzOVKMyvdxzazXsOtiDo575CQbseR8ffPfXSI44FfXd\nIe4qiIbb7TbmmWfFE0uVFZt2kiNrNW6F/GFLpBMnTsSbb75ZirEUHWyfGjuBBifHrJbEZFGDOdHS\nkY6ei9LJ7PITrT4jvbVEv5Px8oiqr68XW7duFjZ2Yy05O6Fi0fwEAq2o73gTAxddh/2fPgcfXXYn\n9JpaQHKlU1/fwL0O9gVP1LB6esKmwgEZechqu0/LDbZEWiJxqJKAJQSvNzs/MN9jVrqLgHc9oqWj\nKHpeqJcUkI5o0wn3JMLNGy8LOvLPEg/Aj9TbSdGx8xPt2Qv85W40vPY0wt95EN3Dx0BLJqFTKx2r\ne8Llchn6AvR1sFY8nfdMi4uQ3+3uu2q7T8sNtkTa1dWF+++/n0uomqZhzpw5RRlYMVAMX1I5+qfy\nWcLxrke0/OZFz0lbCrvz2o2R9rcSgjbJzQnGS1uVBCRB3i7wJRNEo8/nD27HsD/MA0acDDz8NhoG\nN6GBc210Dyo6VUvTNDQ1NXOvg5XHYzNNaMjcd+V4n1YTbIk0mUziwAGxo7ySUIwkYhJoSCaTpn47\n/YV8l3B2PksabBK7rstZoHZBHiC7TYhdKws6yMVC0zRTyabL5UJvby82bnyXEiRx4BNNpYDnHkTj\nit8g9NUb4DrvPxEY3JQ1JhqkU6nXW2Pki5LgLS3Xx3OFWPlYacuV93IS+VGByhYcKTfYEunQoUNx\n6623lmIsJUGhbxpibZAa6/5OoyrEEs5pDiJpEyKbx2gV5GHbABOIfLM0EbDLYyBNonV1PqOFhqie\nXtYn6ur+CPUPfw+J3gi2z3kC8aZhcO3tBjRNSMK0Xz4twGJuCU4LsiQ5hqeoisou1xQwN6sjflTl\nLy08HMnoKWSj3HxPpV7CEYs8Huf3L5cZI70c50kpAuYUIRERsBay220WgA4EWrltloE04dJzxVOC\nqlu7DA1/uQv7zrkCuz93OUCVd4quOdsvb24YR/YnIORKH49Yk3REH8hE+3nnyVjopdHfPdJhS6Sv\nvvpqKcZRUhQyDaTcfE/9VQPtRPSFF+QRKR4RpFIphEJdlgQhc+2iBP26Ol+WshMhZM+hCFqf+Sl8\nuzZg3w1PIjFqLFwMqdGrEfr+EhUP0NfOEmQqlTQF2Ig12dTUnKXWRCC6D0X6u+V0z1YDbIm0qanJ\nbpOKgqwQsCwKSVyFIvhSLtPoEk+6L7tdDyyeihHbU50F0Rv1eMRtgK2uPRjsPNybKZPnqmkuNDc3\nm8ZIW6G1W9di2JO3oHfM2ej52f9DYPhI43hkWQ5kesqHQiFoWkZOr76+wdAntfKhk2omXvdTNp+U\nvDjC4TC6u0NGTypRLqnI3638pYVDyZrfFQr5NKgCsput2TVVKxWK1Syv2EnY7Hz6fGkrjG04KIpI\ns2Ol03xEIN+ZkwR0wNzsjl32s1YoEnE0v/ALNKxbhoNXLUT9ed+Uun4WdBM94tMExC9enh+XF8Vn\nrVjaX+oER1qTRivkwy0u2Q1vvPFGqb+VO/x+v6nUVdf1svARFcNvRR6SaDSCnp6wsIwyH/j9fsPX\nR+dN0tfS19crdW2BQKuU3i35zuxItLs7hGg0YkjymVO1arKsNvK59+P3MPL+y+Dr3oXwXSuFJMpe\nPwuv19yJlMgD0uNiv5NAoBX19Q3w+fzGP5bceAUIuQqSK39pYSBNpC+//HLW31555ZWCDqYUCARa\nUVfnM8i0XHxEPELKF6V4SAKBVni9NXC5XCZyIvNLSnHJ/6JrCwY70dGxXagvSsPlcpleDmRf8o+t\nEiIN6Kzm1+/3w+t2o/HvT2LEL69E7Ivfhv+eFWg59mSp66dfzqQ4AUCWtB0pEiA/81T2A4FWjBw5\nyvjHlsMmOaH9XHuNFeO+OxJh6yNdtGgRHnroIWzbtg2nnnqq8ff9+/fjkksuKergigWSAlJOdcfF\nCBIVK6jALpnp9K90ClJGFo9OPvd4+EtHq7QkHujE+q6uYJYeaTweQyJhJhuXy21Zjx5wJzFk8X9B\nPxDGvttfQNOYz0rNA0n90nXdaCddU5NxZZD82vQY0j/remasNNHK3JO8nFKPxysUwLZDfwUnqw22\nPtJ9+/YhHA5j3rx5uPvuu40HpLW1FXV1dVa7FgX5+kiPNBTyhUF8mGS5SiwZtrRRlDxO+6NZdScr\nP2MuIMEogpaWgPj6//EX4OfXANO+C1x2M+C2zwoUkT/pYU9fD/ETs1F6Ng+U93er8xLitiLRcjMY\nyhn5cIvjYNP69etNuXif+9zncjpxrlBEWnyImszxiMPj8RqRZjawxAMv+ERX+4hA1/GzHTp529bW\n1plabHODPJH9wEPfA959HZi3BDjpDOk54gWZ6JQkQopEn5QmOx65bdmy2RRk83i8OOGEE4XVSsQS\nptuQWFn6R3ogSQb5cIt0Qv5zzz2HO++8E9u3b8fIkSPx9ttv49xzz+X6ThXKG1ZWChsRJvJ0PHEQ\nXl5kINCKLVs2C8/Nq3u3I0ZNy7TcEOVesmAriFiJPO+WtWj4zfeAcecAv/43UDdQeCwe2OR/4jog\nLx0CXdezKr54ZMbW0icScWzZstl4SdGFB7JFECqQVDpIE+kvfvELtLe3Y/LkyXjrrbewatUqPPDA\nA8Ucm0IRYFceyPrgSDSYVzXk9dYYn5Ecx3QwJCE8P2uR8lwBtNXJW+YGg51wudxCIk2lUofHl8k1\nNaqnknE0vPhLDFr9Z2Dub4FJFzqfRFj7Fnl+TCsiE2VT0BYqyVMl55bxf6vE+9JBmkj37duHwYMH\nIxAIYO/evZg8eTK+/e1vF3NsCkWAnZXi9/tNy2wSDeYlcROrsK+v1yQawi6PeF1aaR1TmnQ0TeNa\nuQR07bqVP5b4JOnx7tuwFsP+MB+JgQ3Y9sNnkKoPoCkPbQTRfrzaeJbIWB+xTIddkj5Fn9vK/6kC\nSaWDNJF+8pOfRDgcxvTp09HW1oaWlhZ89rP2kU2F8oKdlUIeNtZHSn8GAFu3bjYtnYm/kO3qKQqc\nEDKNxWLG9kRgRFbwxI58jOPoOvY/dS8an74LwS9dg/Dkr+Nw+RG6u0Po6QkX1H/IKlLRYyfWJ70q\n8HprsoJjIhAyZVcCCv2LnCqbtm/fjo8//hhTpkwpxpgsoYJNcrDzg+ZrpWzcuMGUxkPD4/GipqYm\nK0BCn7OjY7upJJRWabK7LrbJHWuZmgIr4U4cWnA5Ut278eHlCxBrHckeMnsfGzidP7YNC6tuRarB\neH5fK4K1G7MKNjlDSYJNNEaNGoVRo9SbsFxh5weVfZisCMPjcSMet1+O8sbDKwPVdd0k/OEEdP08\nXe+P1UuBB2bj4ISvoPPyu6F7+BVIQNrNQVSXrF4+6W35Svsi0FY0Ubci42VdJzxRElHZrF0ASQWb\nSgclo1eFyOcBkiUMnqwbQTKZQDQq7vkkgsxYWRm8dKK/20RU2qEo8MBs4F8vI/xfD6OzaZStpZG2\natOqS+z1ihr7yc6t3+/PEmThjUfk06R9yunzygWQVLCpdFBEWoWweoDslvwiwmCDHKwfkO7rzhKN\nSJiYBasJyoLXcqOuzmecCwDqPliPo5+4Gb0nTMSHP3gGiQF10Bmy5/WWosfHEiRrUVpJBvLml6Qr\nETKl54itkRdZt2zATca1oIJNpUPVEmk1VnSIrkkkUcfKpAHWViadcM9aTHQuJi/4REfhk8mEiWjI\ndla5n7KBJtYXOnLkqPS1JRNoefURNL7+R+yefjMOjPtC+ho4CknkWunWKKw/kcwZT1NU1NjPyqVC\nlyXT30MuliJtodq5Qqrl3i93OCLSNWvWYOXKlZg3bx527tyJPXv2YMKECcUaW86ollYKIhm4vr5e\nI9JM/51N2ibHkFmWpnVFrS1Gso/I6hJpk5LP6bES4qRTlOysLpFI8uCDXWj9xWykBviwbe6fkKhv\nzVILoYMtJHJOEuXJPKSj52YLlWiKyvSNZ10Y4XCY65tOFz30GufMR/quku/vaoI0kS5YsADvvvsu\n3nrrLcybNw8DBw7ENddcg3Xr1hVzfDmhUpzsssts8rDQaT/EQrTqxc5WKYmWpcFgJ0KhLuE46UBO\nLBbLsmoBMueZ5bETHyA7H+lrybacs/ZvCQAv/RZNv52H4OevQtekSwBXtqAZG7Fm749EImNBE8Jk\n7x+ZNCM2BzeVShqkLarK6uvrNazKjo7t6OvrRW1tHfd8tNUv+s4V+gfSRLps2TKsWrUK48ePBwA0\nNjZKSZ71ByrByS5TYUQ/zLQqPEFmqZmtFs9KydGgVZjIdqJgDKkVJ8t18j85P116yfa2B7KV12VS\ndawsZ2P/ni7g9q8CezqAe1cC/hZ4GS0AUUoVfX+IziV64dglwLPyfWxpKvk7AfGR0rX70Wj6d3rc\n2WIlmXkux/v7SIO0HumwYcNMxLlp0yYcf/zx0ie68sor0draapLio9He3o4hQ4Zg3LhxGDduHH7y\nk59IH5tFIJARxy3X3DmZCiNaJ5K0kvB4vCZtT7LsZK+VVxsPEKuUPw4WhIhqamoMsiGWKTl/Mpk0\nWcoulxs+n98oAyW6obRWqN18sOfIIoq1LwHfGQscfRzw8zXAyFNM3zn519zcwrXs6G3r6nymeQYy\n1Vls6xQZkex0a5HM8RKJpOl71vWMNiuQqRzr6+s1HScajZjOwRYiuN3usr6/jzRIW6SzZ8/GtGnT\nEAwGccUVV+D111/H4sWLpU90xRVX4LrrrsPMmTOF20ydOhVLly6VPqYVyv3mYq1mwGy9yaTCWPnr\nrCLlNHGLrDO2jTEv2AIAyWSGAFwul6FyRLdGppfPIp+eVECnLwosvgH4v2XA/CeAT7eZjuE0mZ7W\nB6DLNXnuCfbFR3yr7HfAZjMkk70mPdKGhoxfW9dhzBdPSpAO7vH8w+V+jx9JkCbSc889F5MmTcJL\nL72EVCqFRYsWoba2VvpEZ555Jnbs2GG5TaVXLDnJFBClD/F8gqJ97cZA/H0AUUNKZi0H6XHQvjdd\n103+O7INfW0dHduZvkGZ9sCsv1A291Ik/oz33gR+9k30Df8UOm/6X9S1HIWA8CjiubEKzJFtZNxC\n6WOkj0O/lOjjsfNDt09mr49kH5i7hzrrkKrQf5Am0vvuu89ksTz00EMYOXIkPv/5z2PgQGcSZDxo\nmoY33ngDY8eOxdlnn41rr70Wo0eP5m572223GT+3tbWhra0t7/Pni1wiqfQDR1s7bM5mrmOor2/I\n8rNZWVEdHdtNPlBeyhN9rHg8UydPlquidBwrnx4v9chAMgk8fQ/wl4XY98070PmpNsTjcUQP92Ei\navS0dSeCTBDSKWFZWds8K5ukoZHP6eMT65+eC3quFHkWFu3t7Whvby/IsaRr7WfNmoWXX34Z5557\nLnRdx9/+9jd85jOfwcaNG3HLLbfgm98UNwgj2LFjB6ZNm4b169dnfXbgwAFD+uyxxx7D888/j+XL\nl2cP2EE9bClzSXndNGUFJWQ6R7Lb866r0GMQHSer4+Zh0CLD7FKVV39vO+49O4C7Z6QV6294DB2R\nhKWSvl0nzVxqz3mZBOSaidAKfT/y5orsz4pXi8ZbjTnQlYCS1Npv3boVq1evxrBhwwAAH330Eb7x\njW/gtddew/Tp06WI1AqDBg0yfp41axZuvvlmHDp0CAMGDMjpeKXOteNlCjitQKHTYkQWk9V15ZOt\nwAadrKLWtAuAWKPsuJ369Ezn8/mAV/8A/HoOcMmNwMVzAJcLfmrZzYNdJ02n1iZLvCTPlMwHj2Bp\nvQD6+xd1/uzpCWeNQ5Fn5UGaSCORiKlVbk1NDQ4ePIhAIID9+/fnPZDOzk4EAgFomoZly5ZhzJgx\nOZMoGW8pc0l51UROiJxNWBcRodV1OSEKluRZ4WYAcLs93FYjbPoN2zqEp19qZSXSUfIBsSgCv/kx\nsHMjcPerwOhPc+eIp6pPd9K0c2PIgJ1rr7dGmN9JelnRgSja78024yOo8LCAwmFIE+kPfvADTJ06\nFV/4whcApFsxz58/H5FIBCefbN2yFgAuvfRSvPbaawiFQhg+fDhuv/124yadPXs2nn32WSxatAge\njwdjxozBfffdl+MlpSGyzoq5bGKX2U6JXIZ8ZPVErWBl1dLN7dxut7EPm37j9XrhcrmNMQHZFUoy\nY6GP69u8Gkf/8VbgrEuAGx9HsGcfIpw8VNraA0i6UsZHWqjViKyFz0bd4/HsdirpVDFkLe1JFL8/\noFwIhYMjPdJgMIiXX34ZmqbhC1/4AlpaWoo5Ni7y8ZGWUp+xmOeSrbkXwcqXKvqMt8wtRDpOMNiJ\nfV170Pjc/2Dw26/g4Hd+joZzvp7X/OXjKyb7kwojUQkr7zroLqB022W6NQuQyaAgFUz9QWhKqzQb\nJdMjDQQCGDNmDMLhMDZt2oRNmzaVvIuoE7A3RimX+8VMVxEFoFgrzOr8IgUjkRXGXk+h5jJwYA8a\n7/sGDgVGoufudrSMOtE4T67Hz8dXzFYYAeDmm1p9nzxfKPmb11tzWJw/hXg8hi1bNhuZEqWsm6+U\nMiIPKNcAACAASURBVOpKgeMuoh0dHRgxYkRFdhEtdeloKd/wPMEMXgdKWpmeFRahx8wqR/Gs37zm\nMpUC/nw/8Ke74Zl9HzznzoCfLrmCmOztkM9LjK0wIr/TL6q+vl6Ew2FTuhWrTMUDb8nPfl4qQquE\nMupKQlV3EbWTl6umpQyvUoq1OILBTpPAsGgZQ+bFyteY11wGdyH200uRivXh4G0vovmUz5g/tlCR\nkkWu321tbZ3JLUCa9rE+YjbH1qqSjIB1ibAgeqylWOpX87PQH6jaLqIyVSyVCDrIQoOuZGKzBojF\nEYlETOTJCimz6kNWyz+7h134+co/IvXL/8K+tpkIts2Et6YWKSaJn1emmQu55LIPqTBiVZh4REm/\noCKRCLzeGpMaF5DOn21oMEvw0YFIM9IWeanS9ir9WSgnSBPp8OHDK6KLKLmprRTP+2tMubz5WU1S\nkTgyr5IJQNYDTMPt9piqmlj1IavMB6uHnfu5bwDwi2uB9/6F3df9Fj0tow6Pmy/YwlrXdOtn9nzs\nPOUbuRcJnQDm1CtWVtDr9WYp+PPmhvZh09D1FEKhkBGk6u/7VkEe0kT6/PPPAwC++93v4rzzzsPu\n3bsxefLkog0sF/SH1JiMZZbrA83uy8udJOA9dHbnofOCeb5BQigsQdkVDrCWbPLN/wf8YT5wxjTg\noTcR270H2mEXgyiFKxKJIJlMwuutORzlzkjTsYLJvDkuRjCFrGhoPzNtfcbjcUO1ioAlViu1rTR0\nriyiQnlDmkifeeYZnHfeeRg8eDD++te/4q233kJrayuOPfbYYo7PEVg/lsfjNVJYirGMkSHJfB5o\ndl8riPQ/adBCInTyOiD2DfIIi233wT7sxKJM9EYwdMUiDPnncmDu74CJ50v5P8k2JLLNkhHDVdw5\nLnYwhedfdrlcqK2ty2p0R+sPsONiXQFWXQPIsZRfs/wgrUd6xx13YPDgwVi/fj0ef/xxnHPOObj+\n+uuLOTbH8PszGp4ulwuali0MUUjIkCQ9JqcPtN/vN6qMXC4XfD6/qbYdSPvgePqfIr1MAraccuTI\nUcbxPYfbFpNjBIOd6OjYnlWL73K5uPmHgUArmg4GMfqBGfDv/QjuxeuBiecD4Ps/WbDz6nK5TfNA\nWozQ88TOcSAgr0lLri8Y7DT9LAJ9PhYjR46C252xT3jN7ehxnXDCica8k3zXQKDV+J8dp4wmqhPI\nXK+CPaQtUnLj/P73v8c111yDb3zjG7jnnnuKNrBcwFbnkHI9+rNCQsbqKWR01O/3G3XbGcs7aZvX\nSawYVjSjtzdqspboxHvSlpj2N7PuEi5BpVLA//4STU/cCcy6C/jilSYTkp4zdhnM24buzSSaQ9YV\n4KSyik1rIn3nRb5Y+m88kZdgsBMNDQ2Wpb7sMWWLBQrtrlC9nwoHaSL99Kc/jRkzZmDt2rX46U9/\nir6+PiST/Prh/gSvXM/qhstnqSSbc2lVZ251bjo3kVg2I0eOMvV2Jz7DhoYG28AQC13X7f2blF/W\n1l3S/TFw738Ckf3Ag6uBo7PdPuT7oaXnWOk9py8f1hUgkvLjgXUHEYgERcj5IpEI6usbEA6HTQIu\nPT1hHH98pqigkCuiQrsrVFJ+4SBNpI8++ija29tx7733ora2Frt378a9995bzLHlDNkbLt9AEHlQ\n2BJKUSTbaVRZdB2sIadp2ULRdFqOyL9q5d90XAr692fTUfkvXwNcdnNa+s4CdkLPTsinUFVQ2WPM\n/MyT04vHY6ipqTG0CQAgmUw6InInKHTup0rKLxxsiZQVD3nrrbcwduxYTJ06FUcddVTRBpYvdN1a\n0xOwfgDZfE36xuWRIG318Y7FtlIm2/G2JxA9OPX1Daa6brL0ZSPKZHlKy9yR391ud9bc0PmQRC6O\nkL6otj8a2oPWP/8Mddv+BdyxFDhpougrMc1lPg8wUVvSNBjXXogqKACmYBwRFKG/P7ZZntdbA5fL\nnbVysBp7PkRYjFJjFbzKH7ZEeuDAAZMvS9d1LFq0CN/97nfxq1/9Cuecc05RB+gU5KZPJDhq6wxk\n8iQJaKuRJWCSW0jARsR5VTGy6VlWPjr2AWArl9joOrcPEjVvNDnTgsOi5W3fv17FJx67EdETJ+Hg\nHSvQ8kk5X18+DzCbfhUKdZnaRedbBUWTNAEbIGNJm/ZbF2sFVCz09/mrBbZESrf1oLF161bMnz+/\n7IjUyTJP9EDzlsP0sXgpLKLeRez2BLLpWU50NdnKJRZWQQ1eG2HhQxaPoWbJHWhY9TR2f/3HOHBK\nG3xJwIkWWK5pPWxNOwkOkZ8LAaJRQFYOPHcH+TtbkWWVTywj3C0DlQJVfnCk/kTj+OOPx/bt2+03\nLDGcLhtF+ZYs8VkpIQHmckw2PYfNJqAFka0gY8HQD5Wsv4/dLxBozfpcyEk7NwN3XY46fz12zv8L\n+urqc16e8+bPzlKjc2GB9JJe07SCFV7wXsS8wgQWVkGp9LFiWSuEXMZajlatQo5EGo/H8dRTT2Hq\n1KmFHk/ekF02Wr3VWb8ZkG19iCxCqweN9jcC/M6h7PHYh9qKgEiPeyt/H7l29mFsaDD7XVnB4WDn\nHrheXIzGZQ/CdeVPMOCC2RjUFYQrh/p3+oVCzs9bRfC+I/qlpGkwgmEuV7bPlz2vjBUnehE7JSuR\nXxUQ59/KIJ/AmrJkiwdbIj311FNNv+u6jp6eHpx11lm44447ijawfGAVLSd/s3urWwVZ7M4ps52M\ngj6v5pwdN32M7u4QmpqahfqZ5He65xJtdZFc09raOtP1hLauh++h/4J7fwgffP8P8J9wGgKaljO5\nsGWVHo83qyySDprxlKfYzAcrf7gTK65QARgrv2o+Isq5BuqUJVtc2BLpsmXLTL9rmoZhw4aZ2lCU\nK0Rix/k2mSsEcknmZ60RmoCA7PbJ7AvFSodAmIv5xv+i/v6rEJ7wFQSvXAi4vYCEFcR7CfF8z7yE\newCmoBnvO3Lic3RqxTkNfvFIV9av6hS5Er3KGS0ubIl0xIgRJRhGccCLrgPZ0WweiRWrioTtv273\nQLBkyKv4kSEUNnPA6zUHulgLOdodBJ74EfDmqzjwvd8i3HocIGkFiV5CNLmIUrCAtLVuJ/fH1rNb\njatY+ZJF02u1QS7HUjmjxUXOwaZKAC+6Ti8rrXxVhbzxWOupqytoCmKQeme7B46XdO/3+9HU1Gzy\nx/HAkpium60j+nPfB+/g6CduBsaeBfz632jwD0ZPx/asEkwRRC8hJ+RCpzTV1fmEKV6Avc+xWKRm\n97Itp6WzyhktLqqaSGWi66V4+NiUHSCt+blly2bU1GQqh1irRhRsYS2h+voGeL01UmWXJOc1kYhn\nuQEi+/ehfsWv0fj6HxH8xq3wnHUJEOlFz0cfG6WiMiWYVi8h2lfLOw6rDlVX5zOlbfFSvFifLg+5\npltZoVAv21IFgRR5Fg9VTaSA8+i63b48iII65Hc2ZYcgkYgbjc+A7Ig1TZZ0DqvIEpIpu0zvy9Eh\n+Oh9HHXPJUjU1GHbD59GYkgAru6QKU/T6ti8eRNVQ1n5ntkgDTvHQH7dHmXG4AQyFXSlGotC/yEv\nIt2zZw+GDh1aqLGUBFY3qRPLgDwApKKJqLd3d4eM39kHg6duz6uUAbKXjbS1mS7hzBb/lbGOsqwo\nnw948RHgd/MRv/B67P7MRUgkk1llpQSylpdo/uyWw/T4iJuCjc673R7jBZSLJVgI/7ddBZ2TAgMV\nBKp85EWks2bNwgsvvFCosRQFovQnerkvyuskn7EPA9s3nYAlHtY/SC/LyVKZ6Gy63R5Lq4at76b7\nMzmpriG19ADg2r8XQ373faBnD/A/7Rg04mT0UilS7PWkswRqEIlEjLYlTpejdsthYjXTL46eHnPb\nGK/Xi+bmFqlr5X1eiCW5FQE6sTJVEKg6kBeRVgKJ8tKfaAERAEb/HZqsaGER3r65giZUOjHdLp2M\ntloBPmHaWdu0RTxo0z9w1FO34sDEL2PfdQ8jcPQnTcdgE8qJcrtIg0A0Jt71y2xLfxeaZhazJucX\nlbzaEVkh/N9WBFiIMmWFyoI0kc6cORMPPvigUfGyd+9ezJ07F7/73e+KNrh8Ibqh6TQgAnaJTUf4\n43Fzn/hCgFheIt1UNsoOAB6PxyRr58SnlibtFLRYL4YuvR8DN/wdH868G9FjT4cvluCOD8hunsde\nv+ilI0OmIvAKEeJxs3Xc0xMWko8MkeVLWFYEWIgyZYXKgjSRvvPOO6aywcbGRvzrX/8qyqAKBdEN\nzRIUW/vOi/Cn9+OTaEtLAEA6rYmGy+WyjXLbyb8Ra4xYrbl2R9U0oHbXRgz7wzz0Dj8Z2254Bqm6\nwY6Up0QaBOxLJ18/Hy/bgramNU1DMplEPB7hEneplsulTrdSKF9IE+kxxxyD9957D8cddxyAtPrT\nsGHDijawQsDqhmZ9pKIbnpc6RUDLzQWDndwADW2xsdFr0toCSEd/SUoQfa60IEdmmcsrp7RFMonm\nVx7B4Fcfxe6LbsD+8en+SR5PdrTZLgOBzAkB76VTCOLiWZnRaORwVZbbkrjLgcgUeR5ZkCbSa665\nBl/60pcM2bxXX30VixYtKtrACgXeDS17k4uIlYAlF5ZEedVGhJh6e3uN/uVA2qJLJOKHcygzFh6v\nTpucjxCWZTL/7g7g7hmoSySx7Qd/RKIhk2VB2jGT/QFkpVw5cSMUi7hIbikAuN1ueL01hpvFrry2\nkqBERSoXmu4gIS8ajeLFF1+Eruu44IIL4PP5ijk2LvLNIcwXHR3b0dfXC5fLjZoas4p8KNTFHRtN\ngDLBKtqVYFWnTZdKZuUy6jrwyuPAb+YCl8xD8MzL0B3ea5A7aR2c7Ys0W9z0y4F0uczngc9lXzZL\nwufzG/m0/Uk6hSQ+NsUrH2EThdyQD7c4itqvX78e77//PubNm4edO3diz549mDBhQk4nLjUKcdPT\nD3QqlUIiEUc0GkEoFEJzc7MliYqCNQRsd05AnNBOrFuaXOLxuJHDGqj1AA9+B9i5Cbj7VWD0pxFI\nnwShUAiAbvStp/2trNtA1zPCySJVJrpQQDb31qqKi0BUvkq3W2aPXUpiLXQifT75pMqS7X9I97Vf\nsGABHnzwQTz22GMAgIEDB+Kaa66RPtGVV16J1tbWLFk+GvPnz8eoUaMwfvx4bN68WfrYIpAadtKT\nPd9+4CRdioWup7ICTQSkNj0Y7EQsFjMCXF6vFx6P1+hn3tTUbOrBTiqiaL8peXij0YgwjzW2+gUk\nrzoVaBkO/GodMPrTxufph1M3SDAWi5n2r6mpMXquk+Uz3cIDyFZl6u2NSs0rSb/ikQV7XeR45LsD\nYNmjnt7fahzkfsj1+6dR6ER6v99vrApykccrZK97BeeQtkiXLVuGVatWYfz48QDSUXv2QbTCFVdc\ngeuuuw4zZ87kfr527Vq8/vrrWLduHVasWIG5c+di+fLl0sdnQVtObI6o3U0vesPX1tZxCcwKfX29\n2LBhvfG7y+UydefMVED5s4iTtXjo1r8stFgfWl94EIPffhXBK+7FUefPOHwdHxsPJUuChNQJyPfJ\nlqGSfXh17vTxDItYQHQi1S36XARsNVd9fYMwb1SG1AptQRY6MyDXAJmqjCoPSBPpsGHDTMS5adMm\nHH/88dInOvPMM7Fjxw7h52vWrMH06dPR2NiISy+9FLfccov0sVmwCkGiMkzRvqIHbuTIUdiyZbOQ\nzHjgBaB4y2o6T5Un2kyS93mo/Xgrjn58Hg4NHYXtN/4FDZ8cnXUdZJnOjoXMS9q1kEQ0mg4w2ZWh\napoGt9tjyq1l9VAJWKLkqTWx/iknLz8ZUis04RQjM6DQhQEKpYM0kc6ePRvTpk1DMBjEFVdcgddf\nfx2LFy8u2EDWrl2LGTNmGL+3tLRg27ZtGD16dNa2dEO+trY2tLW1mT5nLSdSmQPY+/LsHriampos\nItU0F5qbm6nSykz9PQtaW5NuBUITErEW2Wom9nguAM3tj6Px1d9hz1fmomf8BXAdrpBir0OkIE/P\nE51lQHRTw+GwcTwA3FbNIj1U2u9JkzJNoqzak9vtMbIJZAlChtSKQTjl4I8sh1SvSkV7ezva29sL\ncixpIj333HMxadIkvPTSS0ilUnjooYdQV1dXkEEA5m6QBCJtTVFnUwJW+IKVYpPdl33g2OgxIVCW\nFHgESkC0NYPBTlPXTtpKJUvujCWdTqino+je8G4c/cQtcGvAxzc9h/2+BuNY5KFiFdrtsgXo46dS\nSUQiEcpKTu/LEiH5n80jZaPQLAETsC6EmpoaYasUK8h+TsS1+xOFDg4p8swNrBF2++2353wsR1F7\nn8+Hiy++OOeTWWHixInYuHEjzjvvPABAV1cXRo2SIz8W+bylrfbt7Y2attX1lOUSlgXd755YegSx\nWAwNDQ2GVUvnkZKfSYuQweteQOtf7kb4nP/EwS99B7FEEq5URgQlFovB7/ebhE3slrIulxuaBhO5\n86T/ZBPgWcV9r7eG+zKzenEViyBYLdZSgrbgSfBSEWHlw5ZIBw4cKLQMNU3D/v37CzKQiRMnYs6c\nOZg5cyZWrFiBk046Ka/j5XNz2glp0KDLP/1+P1e9nSanjMye2d+ZSiVNli1Pcg+RHnzi2QWo+2gL\nOr/3KGLHnIJ4PE26hGSBDFHQARq6TQkPyWTSWGHQViRLprIJ8LJL6VIuTcshMEMH3YhPWRFp5cOW\nSA8ePFiQE1166aV47bXXEAqFMHz4cNx+++3GTT179mxMmDABU6ZMwemnn47GxkYsWbIkr/MVI7eO\nbjRHwLYNoYMkhNjov9FkSsPlyqg/BQKtWdv43luLo5/8EQ6c0obtc/8IrXYgQFmudpZjINB6OIeU\nD11Pobc3CrfbA58vTXqxWCzL10zSoOxaozghyFIRSTkEZth3cX+7GRQKA9vKpnvuuQc33HADAOCZ\nZ57B1772NeOzm266CQsWLCjuCBnIVB8Uq0okGOwU5ot6PF5DEi89TpdpqcxC01ymEtGWloBJXo8Q\npJaIIfDCLzDkzZfw8SW34eCnpkiNldYBAMQaqtnjSvuURdYrK/RSrhU4ohdpfyevs/cQ+d4V+h/5\nVDbZJuQ/9dRTxs8sab700ks5nbTYKOYSjs29JEgk4owsX8oy6ESCR/Qx2b7vA3a/h1H3X4aa0C5s\n++Ez0iSaPqbbIGaSUysDXdfR19crdAGkUiluhL6cYJWkHgi0YuTIUf1KXuz3rlD5qMqeTcVawvGE\nSfIB7SszaaWmUmh8/Um0vLwYndOuR8/Er6SZF/JvTU3L6AI4GTMpDWX3obt6phWpUmWbt8i+SHl+\nyP6yTOl7iP7eFSobVUekdDsN4s8j1UIyDwyvDQnJDU2nIWVyOxOJpGl57gQkws4Skt61C4HH5sEV\ni2L795cg3jzc2Icspa0qnAjolCUahAjT2qZsPmzaB8qrWCPkrWmakaqVLwkVi8z8fnOzwWQyafr+\n7aqcikmy5eCnVSg8bIn0nXfewaBBgwAAvb29xs/k93ICL3fRiQwcvT/dhoQFndsp41Kx8jvSfsbO\nZ3+FTz75Y3RPuRShc2cBbo/pGIlE0kjbyRXNzS3Gkp9VosqQpXh/Mh+yebkisHNNsgwKlVdJOgKQ\nMdOWX6H6LeU6NjIGlUBfPbAlUtIlsxLAPiCkwRz53W4ZRe9vtRzWdd0UWOKBXoKT/+vrG0xpTSQR\nP+Cvw4EfX4z69/+Fnd/+OXqPGcM9J6CDbbnhFGQO6AR1Mk8ZC8lvCogUYznPzrWovDRXNDQ0CMWm\nC9VvKVfLVZFn9aGqlvZsRZPL5TaWsKJc2FwgyrGkwfox+/p6DSuOPOAulwvujW8gefNNSBx3Bj6c\n+yekBshpvOYSYWTngCZTl8udZRGS+n8rWb9cwWtbwisvzfV8VpYf+xmQSeeSXXpXUj/6/s5UOBJQ\nVUQKAIlE2oLWdR3JZAKAZpCOXf8kFoQwiY+UFXOWTSkCMnmi5NzdnbvR/MLPUb/meXz8jduw/1Of\nM23PpkexcB9e9hPLmB6ryH/KzgHrCqFBpPycIJeSTrqTKl1eWojqH5HfE8hY5vT5icqUqNU1DVnF\nqf4msEoi/EpG1RApuWFo8iHLYQKnKkJWPju6/QUvUZ9FIhHHli2b0dDQAPfH72HEg7ORGNyMbT98\nBslBTVnbu91uJBKZa/F4vEgmM8EtTYNhFdOJ8umXhxj0HLBkIJLBk0EuDywha5ZwtmzZbHJ/hMP5\nVf/I+r7J3Mj4f+0s13IhsHKo5joSUDVEalfnDtgL5joJBLA3qAwS8Rj0//0Vhrz4SwS/dC3Ck74m\njOywhEgUkej2zfR52dJUEejlPbu8zsdPmc8Dy56LnZJ8vTKyvm8n/l+7e6VcCExlCZQGVUOkPJ8b\nAelPVAgVISBjjZL0JZfLdVjvU/yQevaH8ImnfgzPwTB2/PfjOBQ4xvIcGY1Qc4CH9gHTxCnrLyUJ\n98Q6ZgNguVqmhXxg6TER7dJ8QI+NrswicLlccLuzfcR2sNq2XAhMZQmUBo6a35UDrIIstP4lrfVJ\nl0pagfWj0cEW2VLLtMWnmUh10Pq/4RNP34nwZy9G6EvfBdxeqSR5j8dr8smKrpGcl0TWWfh8/JeM\nVVM+J/NGUOhmcIV8+EU+UiD/fFiZcyoCK3/kUyJaVURKw+lNTPu02O6ZxKK1CuTwxug6FMXQ5+6B\n/7212P2te3Dwk6fY7kuDdO0UXROpyydkz0vU93q9OP74E7l5o/Q5eF1Qyb4sZOb2SCWRI/W6qwEl\n6yJazbDyo6VSKWkfJJBePtfteAdHL5mP6Ojx2PbDZ5CqtV/a2VnbbPACgMli5alKkSCUdd5oJomd\nJuJEIpml8iQTRCmXQEuxQUpwa2vrjJfRkXDdCtmoSiKlrSsi1mF3Q7NlhSyk31TJOFpeeQSNq57G\nx9NvxoFPn8vdjF2Ks33m2ZxPXv04+Zk8tHbN+URRcoKGBrO/VNNg9HAi+9tVBaU/jwm3qRTYWZa0\niycajRjdTiv9uhVyQ1USaXd3yFRV1N0dsi0NpUsKWXg8XqPlRka5J50XSltwNV0f4Og/3AQMakDP\nz/4f+rQBcCX5FVCktUpakNmNhoYGIzeV7p5Jcj7ZYgO2aiscDuOEE06Uas4noyFKv1QIKbBBNtqi\nZV0jdFO9SosUy5Svsq25+/p60dTU7DjApFwB1YGqJFLe0lwEVrqOgKgg0ZU9bPApTXpxQNdR/39/\nQevyBxH64nfhuui/EWgdimZkHhSRpWiUiVIPEa97JrEGCcmyFmsqlRbmaGhoMJV39vX1OipCIBYr\nTRTk5UETpcdjzrOVTTEqZ5DvKsYIZvPSwljrn/4OZYmRdQWQ71qRauWhKonU4/GaiNHj4XfQBPj5\np6zgSU9PGF5vjWGVkofK7/cjtXc3WpbcAm94D3Zc9ygODR0NXzSj/SmK9ovaQ/PSZsgD3tvba1La\nZ5X3eUvJVCqVpeJvBV6bE2J900TJkr8IuUjF9YeVxlrUbMCRXaqPHDkqy0cKOPOJsm4SeiXi9FgK\n/YuqJFK2ZTJJZueB9Y2SlCAZAZSGratxzOLvo+czX8ZHVy5EyuUWLunYB480pJOpA+dF2wGxmAjP\n10v8eFZkSsiE7dFELHIny1b2RSFLjlYBm2Kq3rMWtdfrhcvlzipfpZGvAhbrruGtRBQqA1VJpFbJ\n0FYPHUn+Jsvb7HbG6d9r9ASanvgx6tavxK6Z96D32NPhdntQW8PXP6XPKfPw0eOiu3GyIFYpu8wG\n+ORLL9czJbUw/LOsdU7PB4Fo7tg5J9kCgLmevbc3amkdsy+wUKgr65poghURr1NyFZUHF9M6pl+a\n6evt/wR+hdxQtXmkvGUXr5cT67+kSSAej5mIJhjsRHzD/6H10R+g75OnYtdXfohU3SBjXLTmKH18\nkjrFBpZkIMr/pCHK92TdCSTBHzBbrST5HkDW/OSakE+OleQE2zRNM3RRecfIdi2k541eZZD8V/Ya\nfb60glMu19HffZ5U4Kl/ofJIKbDEE41mrENe6g5bPphMJhGPm4kVAJBMIPDqI8BzDwLX/gLRT7VB\nD3UZys66rpseaBJJTyYTJj8m6SIqG1hgrRYge+ku+u5pdwLpWx+NRrJuGOLHJC8cp4UM7PZ25K/r\nunDpGghkdztNpVJwu92GOAxtsfFWH7nWuYuInVyLnTUtCxFhKvKsXFQVkYoe4FAolJVCRB46mqh4\nlUvxeByHdmwCFtwMeGuBh94EWoYhcHgfUaK+10vUmrI/S6VSlPiIfWCBl/BO16I3NIhr0clDT1tu\n7JjoFCWnFihvWW0nIONyuUypXSw8HjdYAWuRJiovUs66ZfJZJtPXQl6WTrIgWKik/epEVRGp2ApK\nE4coPUVoSek66v+5FEOXLgS+eTPw1esBqvMjqWbhLUW93hokk+ZcQx5yCSyIrkNkHZKXBA+kB5PT\nh5m9bvo6rARkAHtF/LQ/2px1wXuZiCznXIQ6eOW3ou+FrChyWYKXiyqUQmFRNUQaDHYK26LU1WVU\n52Usv+7uELQDe3HU03dgQHAHds/5A4adeX7W+cjD1NTUbLIQm5qaEYlYdxylk9oBZJVi2kGmLBPI\nvFx4HQJyFbwWRfdZq5Z9wbAQEYmI9NnzW1l1+VjWdHWW1+vlukLYii9ZlIsqlEJhUTVEKiIuTXM5\n8mkFAq1Irf0rmn5/A/aN+yI+uvxnqBvSaNqGVXAnXTVp8KLYsVgsq3UHkInW5tMETmTp0MtSFrmm\n28hE98nPrBAKDbYyiryY7PRIC23V2aW6pWUSs6+hkKuJfKCCVP2PqiFS0XJS11NS+ZORSAR+rwuB\npQvRtPJpfPTNnyJy/EQAMFl4AEzWGCtowgvcEPCi9XR6Uz5N4ESWDm9O2Lp+p5YRG6Bzu92IRCJZ\nVjXxl7J+ZFb/k7UI026RpFCPVNaqkyUY3kuPBPR40oRsiaxTIisk2Smfa3mgaoiUPLS8dBu2Z+eF\nJgAAIABJREFULppGR8d29PZGMeDDTRiy5Cb0HfMp7Ljhz0j6Mm2ndZ0uJeX1stfg9XqyltAyeY5A\ndquSQlk6wWDn4TJX89KUVisi52FzX+3ORcpVCflnLLqYcTxirTc3t1jqf7IWoddbY7hHcvWBOiUY\nXTcXH5B7hmeJut1uYxVCZ2bk018qVyifa3mgaoiURGr5AiHifXojB9D4t8fQ/LffY89FP0Rk4lfS\nREkdp6amxtLfV1eXfqh4YiO8G53NZ2XHxwp95LJ0ozUEiIgITzpPRqCDd+x0ji1/uUvPFckUsFoR\nWGVTiGD3uSzB0PNE/NVW/m3aQmY1GlKplFFAUCoyVT7X8kDVEKl1yo3Otbb6dv7/9s49Lqoy/+Of\nYWZIQJQ7KKiNV0QhwBQRFPICpbXUuq1iZikZLZXmZbebleau7u5P03ITL1t7KcuX60aZZqbJRQUV\nVxJFFFFIVARFEOXO8Pz+mJ7DOWfOOTNcZxyf9+vF68Wc85xzvueZOd/zPN/neynAgE8WA4Tg0pIv\n0ezuC42dCi1NwkUUQDkRB3Xcl7M5isMlxQ+5Hc8TADCMeKQ8CZRGVuJ2hECQeEOr1UqWWxGHRppj\nWlDqa6lCgEozAv51OtPOZ46CkfM8EIcN06oHGo2aU6JyL1ZCSLvrXrWHrug7RtuxGUXq5OQkm2FJ\nygH8dspG9P33Mtya+DxuRM+BSq2Bg4OjZFQMIB2/Tmm1rQkdxvkjN1rp01T4Kf+agPkjK+PpsVAe\nuVGmlG3Z1BRRbCOlZarpPnG0mNRinJiuDr+UCtuV8zzw8vIW7COEwNHRUZC8uT3eCF0FU56Wx2YU\nqRIqlap1RHKnEvX/Nw89ik7j58RkNA4YCRUxOIGLHfTFb3hqI1WpjEeohBhMAHq9nlOYBQXnjFbN\n6TRdq7WHVmsvsGfS2Hc+4sQWckjFisvdB18OJycnrkyJUoIOPkp9VF5eBsDg+9nSoheE6LYVsS+n\n0ohLyvxB+5XvYUG3m/I8cHFxFbxQaX9IHUfL0Jjbfwzbo1sVaUZGBhITE9Hc3IwFCxbg1VdfFexP\nS0tDXFwcBg40PHjTp0/HsmXLzDq30ghArdbAy8sblan/hfOmV1EXNAmli78Ese8B/LIySxNkyIUA\nenl5cw+ZVAG85uYmbtGhqanRKMGyOKen1CiRLpTxq3jyF3aUfD7NneJRhU2v1dTUCBcXVwwb5s+F\nk9IXgRJS++nCHTVj0Pj9tvrI8uUUjpSlTRv864rb8BN2t7S0oLKyUjLKTc59S9yfSscxN6T7l25V\npAsXLsTmzZsxYMAAxMbGIj4+Hh4eHoI2UVFR2LVrV5vPLbZr8bFrbsTtv85Hz+O7cHXmctSOmAAV\nACLK6UlLk5havZaz+fFtpMb7INgnnv7JPfBS51aKU+cjfrD5CofCXwCji3VKDvrixCT0f3G9J7ro\npFarBfZd/jFKfSxlhxXfO61sIL4uvR/DopEwSIMO6k2Nqul28UtV6TimPO9fuk2R3r59GwAwYcIE\nAEBMTAyOHTuGadOmCdq1N/sK/RGLXZQeuHYBfp+/iUaPfrj4+/9A39MVaGmBRqPlbHd85aKUUINi\nqjaSFCqVccROY2MjN1oTz9pbWvQ4f/4cVCr8YgZotXcCpkd54imtXF6AtiT6EK/wG+RsUcz+Ly6H\nQqe/plyFpGy3UqVNxLkRqPlDruyJi4uroqLs7Kgpxv1BtynS7Oxs+Pu3pnoLCAjA0aNHBYpUpVIh\nMzMTwcHBmDhxIl5++WUMGjTI6FzLly/n/o+OjkZ0dDSA1qlwUdEl1N69A7eMbfDc/3eUxS3G3fDp\nhtHJLw+UStVqczOnzhEfnW6gyWOkwgrFNDc3obnZ2AmduirRY/R6g62RRkdJTWPp6Ixfmpk/wpVS\ndkr5V6VsfOIV/rZAk7jwZaKr21J2UPFiEX+fVH4DoDWVISDM5k9rbhFC78Fwn7W1NaiouAl3dw/B\n9ZReKGz6bjukpaUhLS2tU85lVYtNoaGhKCkpgVarxb/+9S8sXLgQu3fvNmrHV6RSONffhtemJKga\n63Bp0ecgPgMND5JemM6OPsjtYdgw+VrxQKvLDF2YEq/O8xE7oYuzUFGF4eTkJBhV0gddbLOVUzKA\ncMTPT1bCD2iQspGKC99Rm6+5ClWrtQchQj/f5ma9oh1Uyc1LnCRGHCkl5RXBt2NTxDZpU0nBWRSR\n7cAfhAHAihUr2n0uO9NNOofRo0fj3Llz3Oe8vDyMHTtW0MbZ2RmOjo7QarVISEhAdnY2Ghoa2nah\n9P/A9e0puDtoFIpe/QeaPPpBr2+WVHZNTU2/PJStdrS2VL308vIWZILnYxgJGSJgHB0NK+M63UDJ\n4ADqVeDl5Q2dbiBcXV0FvqVUppqaGoESoMqRlpzmX1uMWq2BWt363pRSEtRGWl9fh4KCc9wKvPiF\nodEYFpLc3T3g6OgET08vxbpYFP59GQroqU3aQcVIrZq7u3twSbSpbdfFxZXrd3peQNp0xK8rJT5W\nKQKLRRExKN02Iu3duzcAw8p9//79sX//frz33nuCNmVlZfDy8oJKpcK3336LoKAgPPDAA226zp2S\nQtyYvwF1/Udy28Rx3kDrKJEQoeLhO8Obg1LKODrSpP6HcuYA6lVA4a8486uW8kda/GmsuXZlaofl\n+7RSlBzzxfuk0u7xw16p0udXBjCM4JwEoZ+AcepDU/HrcnH+dJs4L4L4GPqdiz0q+C8Vc+y2zMWJ\nwadbp/br169HYmIimpqasGDBAnh4eGDz5s0AgMTEROzcuRPJycnQaDQICgrC2rVr23yNktBfScTC\nG+CX1JB6mMXO8G1BpbKTvW5BwTnJHAAUWkpZHINvb28vUCT8BTVCwMmvFCzAvwbfwVyMkmO+uQpE\nvPJdX2+oespXzHRkzkdsBwVazRO1tTUClzShW5MeTU2t1TepzPQFQBfFDNn1jf12xS8qU7AoIoYc\nNlWzScq/k6IU3aO0gGBqH391uK0LMHzEtYbk5Bb7avIdx+WQi56Suh/+yjod9fITnJijQOQWg+h9\nmnLQlxq5e3p6Ca6r9F1LvdTaU4OKcX/Bajb9gti/kxZZM6UATDmvyy0udGQVWwpTvpPl5WWSi00u\nLq64caNc9rx884JSX9AFnvPnz6GlpaVdSZ/pfUj685ppf5YK4BLbI8URX/wHQKNRA1BLjq67AraS\nz7ApRSr273RwcOzQD9vU4oKSfVQMPyZd6pi6ulqo1RqjpB/i8ESpNyZdcTfl22pOXxgqDTRzn9uj\ngJSCI8xB/GKQUsBi9yip8Ni2hL22F7aSzwBsTJHyq2Z2JMabYso2KH6YxcqDvyDEH63QEQxf8RFC\noNc3Q63WCEZY/PIp0nZMw4hRzre1LV4I9F7EngFKiz9yMe4AJKuomqOU5Rbb5NopydHVo0W2ks8A\nbMxG2hV01DYoZxOUs/FJ2Vr59j2p4+g1ysvLjEp70Jr39Di64GaOOYO+CKQyYvETrZiyu5pTY94S\n02M3NzdUVrbfl5hxb+Lq6opbt24ZbWc20i5E6aGWevjt7NQAYHI6Kfb9BIwXhShKIx3xiFGt1nCj\nQKq4+MrXnOTD/GzxVHlLjbrMGY2Zs9JtqelxZWVlt76UGdaBUha19sIUqQJyCTrEozFaeZI/tacl\nmWnkESAMcRQ/wCqVykhxiRNCl5eXobGxNbqIbzrgj/rE5oT8/DzBteTyCUhli6fnkTJxtMUtival\n1MIVmx4z7nWYIpVBLkEHvyYR/+Hn+zLStmKbKf9YMfQtSZ3u6TaNRsNF7fAd3JVGjHSVniJehBPk\nZ+Uhp9DkRpVtTd0nN+Jkju6Mex2mSGXgp2cTKkNpJ/XmZj0A4ShTbOvkHyvOxMRfiBFHEQEQKEJx\ndJEpRUQX4UzZSJXO01bXMT6mRpzM0Z1xr2OzirQjixfl5WVGeSzFJXjFDz8AgcuOSqUyKuXLP1ac\nR5O/ui5WZlILIlJKTny/SunipOgqhWbOiJMpT8a9jE0qUin7JaBcqoKP2KGcTqNNudd4enoJXHb4\n03F+fHtR0SWBr6ZKZTxKpGGghoxMrW0p4nBS8f21dwGnKxQaG3EybB2bVKRy9ktzFYqpMhR8BcZP\nlkFLdlCKii4JEkbTY8XTegcH4yQgQGu+Uilo0me5FHTWtoDDlOe9z4ULF3DmzBnk5ubiiSeeQGho\nqKVFshq6LY1ed+Lk5MStOvN9w8ThlkVFl7hUcXyUUqnRkV5trWG0aSryicrBz0Qv5fDORypUVIwh\nIbR8OKnUteVQ6gsGg7J79274+vpi8eLFWLNmjaXFsSpsUpHyFaGDg6ORQuErw6qqSlllqtMNVHTV\noVN2/rnl5KAKWazkpcJY+W3aAt8/TullwMecvmBYlq+//hrh4eFwcXGBv78/li5dKsjT++CDD+LH\nH3+UPPbkyZOYP38++vXrB3d3d0RGRuLEiRPtkmPRokUYM2YMSkpKoNPp2nUOSk1NDWbPng1PT08E\nBgZKJnCX4sKFC+jRoweeffZZbltxcTGWLl0KPz8/hISEyPZFV2KTU3tAOXxQzsHcHMTJMtRqDZfu\nDjCupSSVtxNQthfSqbler4edndpoCi8HLd5Hp/2EGKI4lCKJ+Nn4rcEEwBCyZcsWvPHGG1iwYAF2\n7dqF9PR0rF69GpMnT8ahQ4cAtC5sSpGQkIDnnnsOa9euhb29PQ4dOqSY4/d///sfli9fjurqasyZ\nMwcNDQ3IycnBs88+iwkTJoAQgpSUFLz99tsduq8FCxbg8uXLOHLkCPbt24dZs2bh1KlTJhX0yy+/\njDFjxgjuNykpCUFBQThz5gz27NmDadOm4eLFi/D19e2QjG3B5kNEpVbvzQ1blDteKpUdoFxquS2y\nAq22146m55NydxKn/wNaI7Hup1Rz3R1u3Fbu3r2L/v3746233sLSpUu57WVlZejbty+2bduGmTNn\nQqfT4ZNPPsHEiRMFxxcUFOChhx7CnTt3oNGYP2Z65pln8Nvf/hZxcXEAgJ07d2LdunU4cuQIdu3a\nhejoaFy7dk1Qg60t1NXVwcPDAz/88AMiIiIAALGxsRg7dqxiuY/t27cjJSUFAQEBKCwsxGeffYby\n8nLodDpcv34dzs7OAAwli37961/LlnKX+9478nuwyak9RW7a2tFpb1NTo5HdtaOLOzROv7bWkMyk\ns9LzSSUKEaf/U6vVJvuC0f3k5uaiqqrKqNKut7c3QkNDkZ6ernj80KFD4evri5kzZ2L37t1cJV9T\nZGVlYcqUKQCA6upqbN++HQsWLEBKSgpWrlyJ6dOnY+fOnZLHPv7443B1dZX8+9WvfgUAuHz5Murq\n6hAYGMgdFxgYKChFJKa6uhrvvfce1q1bJ1B2hBAueTilubkZ58+fN+teOwubndoDyo7g5iRwljre\nkGbOuMZTR6fE/KqfbUWj0cLe3l6y3LJU9idTXgkM6+DKlStwdnbG8OHDjfaNHTsWRUVFJs+RmpqK\njRs3IikpCZWVlUhISMC7774LNzc3yfb5+fno3bs3Dh06hMOHDyMnJwcbN25E//79AQBPPfWU4vXM\nsXVWVFTAxcUFvXr14rbpdDr89NNPsse88847eOGFF9C3b1/BtN7b2xsRERFYuXIlXn/9dezZswd5\neXkYOLBjmd/ais0qUnHVS6WVa3ENeEC+oqTYx9TOTs3ZXTsiq5SvqBQ00xPfvEBLS/MVumHULLSR\n8l8WUn6xDBFTOim5xf72TRf9/Pxw584dnD17FgEBAYJ9WVlZGD16tMlz9OvXD6tXr8bq1atx7Ngx\nzJs3D7169cL7778v2f7gwYOIi4tDbGwsYmNjERUVZfZI1lzc3d1RVVWF6upqTpleunQJHh4eku1/\n+ukn/Pjjj8jJyQFgXCpn06ZN2LBhAx5++GGulDu/Omh3YJOKlK8YDfHqwlGXePQprgFfWVnJZYsH\njJOVSCURBmCUZMRcWQ3O9+LqoK2lnCni84rNC0rRS2IHfanaSQwR7VSAnUVgYCBcXFywZ88egSK9\nfv06cnJysGTJkjadLywsDPHx8di3b59sm7S0NLzwwgvc54aGBuTl5Qmm4Uo89thjOHz4sOS+CRMm\nYM+ePejfvz8cHByQm5uLyMhIAMDp06cxbtw4yePS09NRXFzMjYrv3r0LvV6P/Px8nDhxAoMGDcL6\n9euxfv16EELg4+OD5ORks+TtLGxSkfLrntMRm9RCU319nUwN+Nb/pVbd6Yo6jVSiylUcwWQOYp9R\nfmipSmUn6wcrrqbZ2KhcEsTaHPQZpnF2dsaqVavw1ltvoaamBklJScjIyMDq1asRHh6O+Ph4rm1j\nYyPq6+u5z1qtFoWFhdizZw9mzJgBHx8fnDp1Ctu2bZNVwIQQZGRkYOvWrdy2/Px8uLm5obS0FH36\n9DEp8969e022cXBwQHx8PJYtW4atW7fi+++/x9GjR7FlyxbJ9i+++CJ3r4QQrFmzBsXFxdi0aRMA\ngxIeMmQIrl69irVr18LHxweDBw82KUdnYpOLTXwbJmBQHHShSLzQIlaidnZ2ipVE+fXfaXZ6sW9p\nY6NxSWA5xI7zarVGMDqm5Ufofjoi9fLyhlZrzynd5mZD9cyiokuccz3f0b4tDvoM6+Gll17C3//+\nd+zbtw9Dhw7F22+/jejoaBw4cEDQburUqXB0dOT+VqxYAWdnZxw7dgxhYWFwc3PD4sWLMWvWLIEP\nJuXMmTN4/fXXUVdXJ1hIWrp0KU6ePInvvvuuU+/ro48+gp+fH8LDw7FlyxZ8+eWXePDBBwX38+c/\n/xkAjfzzgpeXF7y9vdGzZ084ODjA3d0dAPDZZ5+hb9++GDduHMrLy/HDDz90qqzmYHPuT3KZ5/nZ\n3uUqXBra2cHDw9hdiI7gxOe2s7MzSlMHyGfGl3PHqqi4CULIL6VGwI00aSlhwDDq0OuboVKpJK8p\nloufG5XfXqPRYtgw//uqaJvUvVq7+xOja+gK9yebmtrTOHYpqLO6KQhpQUXFTQCtiUGUyh3zF6j4\n1NYaJzGWSyTCX8Bqbm6CSmUHjUYLvb4ZTU1NnGM+dZwnhJgsdMd/UdD68JTm5iZBrL6tF21jBeoY\nXY1NKVK5KpsUQohkgTq6j8L3vTQn7l1udKvkv8m3U4oVMSEt0OuJoGhcZ5R75sNPhmLrNlNmH2Z0\nNTZlI3VycuIidaTQarXo0cNBYCv08PCEh4en4Di+76Vc3LtKpeKOkbqmnP+mlJ2SJm/m09Epp0pl\nx8klFT6o0WgVbaa2lMiE2YcZXY1NjUi9vLwFK/YUlcoODg4OAhcmKdsgzQHK970Ul1xubGzk8o3S\n7fTBNNQ70kOjUUs6ucvF2et0A3H2bB4IkR91Ojo6mZzO89FoWm2rVD5qh3VwcOSqjsqVWLalqTDL\nh8roamxusUlcEtlU+WFrwdQimdgJn1YcBVoTOovPIbfg1VZZ2nsea4ctNt2fsMUmM6AKU2p0ac04\nOTkZ2W81Gq1AfqVRJD1HZxSRY8XoGIy2YXMj0nuZ1iin9r8AOsul6X5wjXJzc5Osh8WwbVxdXXHr\n1i2j7R3RLUyRMhgMBlgaPasiLS3N0iIoYs3yWbNsAJOvo1i7fB2hWxVpRkYGhg8fjiFDhmDDhg2S\nbd58800MHDgQo0aNUsxPaK1Y+4/FmuWzZtkAJl9HsXb5OkK3KtKFCxdi8+bNOHDgAD7++GPcvHlT\nsP/48eM4dOgQTpw4gaVLlwqygjMYDIa10m2KlOY0nDBhAgYMGICYmBgcO3ZM0ObYsWP4zW9+Azc3\nN8THxyM/P7+7xGMwGIz2Q7qJ/fv3k5kzZ3Kfk5OTybJlywRtZs+eTfbt28d9DgsLI4WFhYI2ANgf\n+2N/7K9L/tqLVfmREkKMVs3E4Y3i/QwGg2Fpum1qP3r0aMHiUV5eHsaOHStoExYWhrNnz3Kfb9y4\n0e21VxgMBqOtdJsi7d27NwDDyn1xcTH279+PsLAwQZuwsDD897//RUVFBb744gvJol8MBoNhbXTr\n1H79+vVITExEU1MTFixYAA8PD2zevBkAkJiYiDFjxiAyMhIPP/ww3Nzc8Pnnn3eneAwGg9E+2m1d\n7WLS09OJv78/GTx4MPnoo48k27zxxhtEp9OR0NBQkp+fb1Xypaamkl69epHg4GASHBxMVq5c2W2y\nzZ07l3h5eZGRI0fKtrFk35mSz5J9Rwghly9fJtHR0SQgIIBERUWRbdu2SbazRB+aI5sl+6+uro6M\nGTOGPPTQQyQsLIx88MEHku0s9fszR7729J/VKtLg4GCSnp5OiouLybBhw8iNGzcE+48dO0YiIiJI\nRUUF+eKLL8i0adOsSr7U1FTyxBNPdKtMlIyMDHLy5ElZRWXpvjMlnyX7jhBCSktLSU5ODiGEkBs3\nbhCdTkeqq6sFbSzVh+bIZun+q6mpIYQQUl9fT0aMGEEuXLgg2G/p358p+drTf1YZImrtPqfmyAdY\nzsNg/PjxcHWVL+BnaX9dU/IBlvXO8PHxQXBwMADAw8MDI0aMwIkTJwRtLNWH5sgGWLb/HB0dARjK\nJjc3N+OBBx4Q7Lf078+UfEDb+88qFWl2djb8/f25zwEBATh69KigzfHjxwW1vj09PXHx4kWrkU+l\nUiEzMxPBwcFYvHhxt8lmDpbsO3Owpr4rLCxEXl4exowZI9huDX0oJ5ul+6+lpQUPPfQQvL298cor\nr6Bfv36C/ZbuO1Pytaf/rFKRmgMxw+fUkoSGhqKkpATZ2dkICAjAwoULLS0SB+s787hz5w5mzJiB\ndevWGeVktXQfKslm6f6zs7PDqVOnUFhYiI0bNyInJ0ew39J9Z0q+9vSfVSpSa/c5NUc+Z2dnODo6\nQqvVIiEhAdnZ2WhoaOgW+Uxh7f661tB3TU1NmD59Op599lnExcUZ7bdkH5qSzRr6DwAefPBBTJ06\n1cjsZS2/Pzn52tN/VqlIrd3n1Bz5ysrKuLfut99+i6CgIElbjCWwdn9dS/cdIQQJCQkYOXIkXnvt\nNck2lupDc2SzZP/dvHkTVVVVAICKigr88MMPRsrekr8/c+RrT/9ZVYgoH2v3OTUl386dO5GcnAyN\nRoOgoCCsXbu222SLj49Heno6bt68iX79+mHFihVcOWJr6DtT8lmy7wDgyJEj+PzzzxEUFISQkBAA\nwKpVq3D58mVORkv1oTmyWbL/SktL8dxzz0Gv18PHxwdLly5Fnz59rObZNUe+9vTfPZchn8FgMKwN\nq5zaMxgMxr0EU6QMBoPRQZgiZTAYjA7CFCmDwWB0EKZIGQwGo4MwRcpgMBgdhCnSbkStViMkJIT7\n++tf/woA6NmzZ6dep7i4GIGBgYJty5cv73Z/TDlu376N5ORko+0VFRVc3/Tp0wd+fn4ICQlBaGgo\nmpqaEBERYQFpjamsrMTrr78OwBC3vWPHDnzzzTfYuHGjUVup76K70ev1iIyMBCFEUp5Fixbhww8/\n5D7HxsZi/vz53OclS5Zg3bp1+Pnnn2Xvpb6+HuPHj++aG7gHYIq0G3F0dEROTg7394c//AFA98QZ\nW1MsfWVlpaTScXd35/rmpZdewuLFi5GTk4OTJ09Cq9XiyJEjXSJPfn4+Vq1aZXb7L774AuXl5QCA\n9PR09O/fH3FxcfD29haEDnclUvHqcuzatQvR0dGyv4HIyEhkZmYCMLwYKioqBCGcWVlZiIiIULxe\njx49EBQUhNTU1Dbche3AFKmVceDAATz99NMIDw8XPNz79u1DXFwcgoODMWfOnA5dY+7cuQgNDUVg\nYCD+85//AACefPJJjBo1ChMnTkRKSgrXdtu2bQgNDcX48eORkJDAjWrl5BTz1FNPGZ33jTfewMWL\nFxESEsKN7KQQP7h05F5cXIyAgAC8+OKLGDJkCF599VVkZmYiIiICEREROHPmDHeMOXKmpqZyUUKm\nuHDhAnQ6HfdZo9FgxYoVuHv3LoqLi+Hj42N0TEtLC15++WUEBATgpZde4qK4AGDnzp2YOHGioH/E\no8Y1a9ZgxYoV+PnnnzF8+HC8+OKLCAoKQklJieC73LFjh6TMW7duxaxZs4y2X7p0CaGhofD09ERW\nVhYAQ96IkSNHwtnZGVVVVWhoaEB+fj5CQ0NN3susWbOwdetWs/rR5mhrUlRG+1Gr1VzW7eDgYLJj\nxw5CCCE9e/YkhBgSzk6ePJnU1dURvV5P4uPjydGjR0lNTQ0ZNGgQKSgoIIQQcuvWLcXrFBUVGSVN\nXr58OVmzZg1JTU0ls2fP5rbfvn1bcM7bt2+TkJAQQgghZWVlxN/fn5SVlZGSkhLi5+dH1q5dKyun\nFFLnLS4uVszez5eXD+2noqIiolKpSFpaGmloaCBDhw4lTz/9NGloaCD//Oc/ySuvvKLYn3y+//57\nEhoaSrZs2UJKS0sVZSKEkK+++ooUFxeT559/nts2d+5cMmDAAPLpp58ataeyHjhwgOj1ehIbG0vS\n09O5vhk2bBi5du0auXLlChk6dCi5ffu20fe3Zs0asmLFClJcXExUKhX5+uuvCSGEHDx4UPK7FOPr\n60uam5s5eUaOHEnOnTtHQkJCSG5uLiGEEJ1ORy5fvkw2b95MNm3aRN555x3y3XffkcOHD5Px48eb\nvBdCCLl58yYZNmyYyT60Raw21t4WcXBwMErZxWfv3r04e/YswsPDARjsTqmpqSgpKcGkSZMwZMgQ\nADCZFFmlUhmN5gghsLOzg7+/P44fP44lS5bg+eef50Y+27dvx86dO1FeXo4rV64gNzcXubm5iImJ\ngZeXFwBg8uTJIITIyilO3CI+b0lJCU6fPg1nZ2cze0weX19fREVFAQAefvhhTJo0Cfb29ggPD8eG\nDRsAyPcnX87Y2Fj87W9/E9gE5aCj3traWm5bWVkZxo0bh8jISLz77ruIiYmBr6+vkayTJk0CAERF\nRSErKwsTJkzA3r17ERMTgz59+gAw9O/evXuNMokBraNzd3d3LsnG8OHDJb9LPtXV1VDPyk6ZAAAE\nmklEQVSr1VCr1dy28vJyPPnkk0hJSeHy6o4bNw6ZmZnIzMzE4sWLcfXqVWRmZqJ3796IjIw0eS9U\ntoqKCuj1esH17geYIrUiWlpaEBMTg3/84x+C7XT6bS5+fn6oqqpCU1MTtFotAODs2bP43e9+Bx8f\nH5w6dQo7duzA/PnzMWfOHDz66KNITk5GWloa3NzcEBISgsrKSiObGn2Y5eQUc+nSJcnzdoYidXFx\n4f63t7fnMnLZ29tzKc/MkfP69evcdLy2thbbt2+XNCnMmDED58+fx4ULF3Dz5k0UFhYiKysLJ06c\nQFJSEtRqNXQ6Hb755hskJSUpynr37l0Axi88QghUKhV69OghSNtWUVHBZR/imw6kvkvxtaVeqi4u\nLhgwYAAOHTrEKdKIiAgcOXIEp0+fRmBgIPr164c1a9agd+/emDdvnsl7EV/zfoPZSK2Ixx9/HIcO\nHeJKL9y6dQuXL1/GtGnTcODAARQUFHDblVCr1XjkkUfw5ZdfAgAKCgqQm5uLqKgolJaWAgDmzJmD\n1157DTk5OSgtLYWnpyfc3Nxw5MgRnDp1CiqVCjExMdi/fz9u3LiBq1ev4uDBg1CpVHjiiSck5RRz\n7do1o/MCgLe3N6qrqzun0xSQ608+2dnZGDNmDLKzswEA8+bNQ0JCguBvxowZAAy25eeeew7Tp0/H\n4MGDER4ejsbGRk7p+fn5GWVbV+LRRx/FgQMHcP36dVy7dg0HDx7EY489Bm9vb7S0tODq1au4desW\nvvnmG0nlxP8uFy5cKDnbcXZ2hl6vR3NzM7fN3t4eX331Ff79739zv5Fx48Zh9+7dcHd3h0qlgqur\nK6qqqpCVlYVx48aZdT8VFRVwd3eHnd39p1bYiLQbqaurEyxqPPbYY1i1ahX3kDg4OGDr1q145513\nUFBQAHt7e2zcuBH9+/dHcnIyFi1ahCtXrmDUqFH49NNPMW3aNHzyySeSCxzvv/8+PvzwQ6xbtw4D\nBw7Exx9/DDs7O5w+fRq///3voVar0bdvX6xfvx6DBw/GgAEDMHz4cIwcORKTJ08GYCgB8eabbyIm\nJgY9e/bE6NGjodPp0KNHD1k5+URGRkqe18HBATNmzEBoaCimTJmCv/zlL5L9JVYe/M/m7FPqT8qg\nQYO40jG0lo8S9fX1+OCDD5CZmYmMjAy88MIL+Pjjj+Hl5YWWlhbMnTvX7PtwdXXFypUrER8fD5VK\nhdWrV3Oj9T/+8Y+YOnUqevXqhejoaMlzSX2XUgQFBeH8+fMYMWIEdw5HR0fs3r0bU6ZMgbOzM6ZO\nnYqKigrMnj1bcFxtbS3c3NxM3gsAwaLU/QZLo8dQpKamBk5OTigvL0dUVBSys7M73e+V0bWkpKTg\nxIkT+NOf/tSl10lKSsLTTz+NRx55pEuvY40wRcpQ5JlnnkFeXh569eqFxMREPPPMM5YWidFGWlpa\nMH78eBw+fLjL7Jf19fWYPHkyDh8+3CXnt3aYImUwGIwOcv9ZhRkMBqOTYYqUwWAwOghTpAwGg9FB\nmCJlMBiMDsIUKYPBYHQQpkgZDAajgzBFymAwGB2EKVIGg8HoIP8PtPNv6uaNrLsAAAAASUVORK5C\nYII=\n" } ], "prompt_number": 71 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }