Skip to content

Instantly share code, notes, and snippets.

@juhasch
Created April 29, 2016 18:00
Show Gist options
  • Save juhasch/c72e3d0fbb78bcea7cf0bc49e661e2c1 to your computer and use it in GitHub Desktop.
Save juhasch/c72e3d0fbb78bcea7cf0bc49e661e2c1 to your computer and use it in GitHub Desktop.
Notebook for toc2 testing
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"toc": "true"
},
"source": [
"# Table of Contents\n",
" <p><div class=\"lev1\"><a href=\"#Spectrum:-a-Spectral-Analysis-Library-in-Python\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Spectrum: a Spectral Analysis Library in Python</a></div><div class=\"lev2\"><a href=\"#Quickstart\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>Quickstart</a></div><div class=\"lev2\"><a href=\"#The-object-approach-versus-functional-approach-(ARMA-example)\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>The object approach versus functional approach (ARMA example)</a></div><div class=\"lev2\"><a href=\"#ARMA-functional-approach\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>ARMA functional approach</a></div><div class=\"lev2\"><a href=\"#FFT-Spectrum\"><span class=\"toc-item-num\">1.4&nbsp;&nbsp;</span>FFT Spectrum</a></div><div class=\"lev1\"><a href=\"#Books\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Books</a></div><div class=\"lev1\"><a href=\"#Articles\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>Articles</a></div>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Spectrum: a Spectral Analysis Library in Python"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"**Spectrum** contains tools to estimate Power Spectral Densities (PSD hereafter) using methods based on Fourier transform, Parametric methods or eigenvalues analysis:\n",
"\n",
" * The Fourier methods are based upon correlogram, periodogram and Welch estimates. Standard tapering windows (Hann, Hamming, Blackman) and more exotic ones are available (DPSS, Taylor, ...).\n",
" * The parametric methods are based on Yule-Walker, BURG, MA and ARMA, covariance and modified covariance methods.\n",
" * Non-parametric methods based on eigen analysis (e.g., MUSIC) and minimum variance analysis are also implemented.\n",
" * Multitapering is also available <strong data-cite=\"granger\">(Granger, 2013)</strong>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Quickstart\n",
"---\n",
"Then, the simplest way to start with Spectrum is to import everything from the library:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [],
"source": [
"from spectrum import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the following examples, we will use data_cosine() to generate a toy data sets:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [],
"source": [
"data = data_cosine(N=1024, A=0.1, sampling=1024, freq=200)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"where data contains a cosine signal with a frequency of 200Hz buried in white noise (amplitude 0.1). The data has a length of N=1024 and the sampling is 1024Hz.\n",
"\n",
"We can analyse this data using one of the Power Spectrum Estimation method provided in spectrum. All methods can be found as functions or classes. Although we strongly recommend to use the object oriented approach, the functional approach may also be useful. For now, we will use the object approach because it provides more robustness and additional tools as compared to the functional approach (e.g., plotting). So, let us create a simple periodogram:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [],
"source": [
"p = Periodogram(data, sampling=1024)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we have created an object Periodogram. No computation has been performed yet. To run the actual estimation, you can use:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [],
"source": [
"p.run()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"and finally, you can plot the resulting PSD:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [
{
"data": {
"application/pdf": "JVBERi0xLjQKJazcIKu6CjEgMCBvYmoKPDwgL1R5cGUgL0NhdGFsb2cgL1BhZ2VzIDIgMCBSID4+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\nCnN0YXJ0eHJlZgoyMzU5MwolJUVPRgo=\n",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAApEAAAHPCAYAAAALR4HRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nROr2/wHdJSUFUZYRBwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x9bc7be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pyt.figsize(6,4)\n",
"p.plot(marker='o') "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Since the data is purely real, the PSD (stored in p.psd) is a onesided PSD, with positive frequencies only. If the data were complex, the two-sided PSD would have been computed and plotted. For the real case, you can still plot a two-sided PSD by setting the sides option manually:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [
{
"data": {
"application/pdf": "JVBERi0xLjQKJazcIKu6CjEgMCBvYmoKPDwgL1R5cGUgL0NhdGFsb2cgL1BhZ2VzIDIgMCBSID4+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\nNjUKJSVFT0YK\n",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAogAAAHPCAYAAADQ/CvzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAASdAAAEnQB3mYfeAAAIABJREFUeJzsnXm4XEWZ/7+Vu2YlYY9JIIEmQAsILqOyugXZOiLIoCLu\nzqh38OcoCIqjjiiiCIpjOzAuMIiOiGz3IouAKCoIKoJgMNKQQBIwC7nJzd23+v1R9029p7pO9znd\nfbv7dL+f57lP3+4+fU6dWt7zrbeq3lJaawiCIAiCIAgCMaPWCRAEQRAEQRDqCxGIgiAIgiAIQgAR\niIIgCIIgCEIAEYiCIAiCIAhCABGIgiAIgiAIQgARiIIgCIIgCEIAEYiCIAiCIAhCABGIgiAIgiAI\nQgARiIIgCIIgCEIAEYiCIAiCIAhCABGIgiAIgiAIQgARiIIgCIIgCEKAhhSISql5SqlvKaVuU0qt\nUkrdq5T6J/b9IqXUTUqp3ymlHlZKva+W6RUEQRAEQagnGlIgArgRwAKt9SkADgHwLIC7lVJLlFJt\nAO4EsFprfRSA0wFcppQ6o3bJFQRBEARBqB+U1rrWaag4SqleADdqrT849X4JjEi8EMAGAN8HsKfW\nunfq+28COEFrfVCNkiwIgiAIglA3tNY6AdPEYQCG2PstU68zAJwE4O8kDqd4AMA5Sqn9tNbPVCmN\ngiAIgiAIdUlDDjFrrddprbewj44BoGGGlpcDWO/8ZD0ABUA8iIIgCIIgND0NKRA5SqkWAF8CcK3W\n+k8AZiPoXQR7P6+aaRMEQRAEQahHGnWImZMFMAzgw1PvtwDodI6ZOfW6OewkSqkOAK8C8AKAiQqn\nURAEQRAEoZK0AFgI4A9a65G4P25ogaiUugJmSPlEljlrAbzMOXQxzBD02gKnexWA31Q4iYIgCIIg\nCNPJMQB+G/dHDSkQlVKtAK6GUc9v1lqPKaXaAVwC4KcA/lkpNV9rvW3qJ0cCeExr/XSB074AAL/5\nzW+wePHiaUy9UElWrFiBu+++u9bJEGIgZZY8pMySh5RZ8ohbZuvXr8cxxxwDTOmXuDScQFRKzQZw\nM4C9AFwKIwYBYBGAwwGcB+BvAD4F4DNTIXDOBvDRIqeeAIDFixdj6dKl05J2ofJoraW8EoaUWfKQ\nMkseUmbJo4wyK2laXMMJRACvBPDGqf//1/nuV1rrCaXUiQCuVEo9DKAdwAVa6+urmUihOqxbt67W\nSRBiImWWPKTMkoeUWfKodpk1nEDUWv8aZmi50DHrAZxSnRQJtWTXXXetdRKEmEiZJQ8ps+QhZZY8\nql1mDR/mRmhuFixYUOskCDGRMkseUmbJQ8oseVS7zEQgCoIgCIIgCAFEIAoNTVdXV62TIMREyix5\nSJklDymz5FHtMlNa66peMKkopZYCWLNmzRpZ+SUIgiAIQl2zdu1aLFu2DACWaa3Xxv29eBCFhiab\nzdY6CUJMpMySh5RZ8pAySx7VLjMRiEJDI0YweUiZJQ8ps+QhZZY8RCAKQgXp7u6udRKEmEiZJQ8p\ns+QhZZY8ql1mMgcxIjIHURAEQRCEpCBzEAVBEARBEISKIgJREARBEARBCCACURAEQRAEQQggAlFo\naDKZTK2TIMREyix5SJklDymz5FHtMhOBKAiCIAiCIASQVcwRkVXMgiAIgiAkBVnFLAiCIAiCIFQU\nEYhCw7J6NZDL1ToVgiAIyUZr4I47ap0KodqIQBQaloMOAg44oNapEARBSDb33gucdBLw5JO1TolQ\nTUQgCg2OuBCTRk7cvolDyix5xCmz/n7zOjo6TYkRIlHtdiYCUWhwVtY6AUJMVq6UMksaUmbJQ8os\neVS7zEQgCg1OV60TIMSkq0vKLGlImSUPKbPkUe0ykzA3EZEwN8lDKfMqVVwQBKF0brkFeOtbgT//\nGTj88FqnRoiKhLkRBEEQBGHaGRurdQqEaiICURAEQRCEoohAbC5EIAqCIAiCEApN0xGB2FyIQBQa\nnGytEyDEJJuVMksaUmbJI06ZkTCUMDe1pdrtTASi0ODIgytpiNhIHlJmyaMUgSgexNoiAlEQKkp3\nrRMgxKS7W8osaUiZJY84ZUaeQ/Eg1pZqtzMRiEKDk6p1AoSYpFJSZklDyix5xCkz8SDWB9VuZyIQ\nBUEQBEEIhTyHIhCbCxGIgiAIgiCEIotUmhMRiIIgCIIghCIexOakIQWiUmquUuospdQtSqkhz/eL\nlFI3KaV+p5R6WCn1vlqkU6gGmVonQIhJJiNlljSkzJJHnDITD2J9UO121lrVq1WPSwAMAmgB0M6/\nUEq1AbgTwG1a69OUUksAPKaU6tda31D9pAqCIAhC/SIexOakIT2IWusurfV5AP7o+fqdAA4C8LWp\nY9cBuBbARdVLoTDdTE7Sfz21TIZQAj09UmZJQ8osecQpM1nFXB9Uu501pEAswokA/q617mWfPQDg\nAKXUfjVKk1BhuCGjbaIEQRCE+EgcxOakGQXicgDrnc/WA1AwnkWhAeCGTHq9giAIpSMexOakGQXi\nbADuwhV6P6/KaRGmCW7IxKgJgiCUjngQm5NmFIhbAHQ6n82cet1c5bQI04QVhTkxagkjl8vVOglC\nTKTMkkecMhMPYn1Q7XbWjAJxLYDFzmeLAeip7wqyfPlypFIppNPpwN+hhx7qXYKey+WQTqe9m2xn\ns1mk02lvoWcyGTlfGec766wMTIiblQGjVi/pk/OFn2/lypV1nT45X/75jjjiiLpOn5wv/3zUzqKc\n7667jD11BWKS7rcRzkdl5p6Pjk2lUujo6MDChQuRTqexYsWKvPPGQmvdsH8APg9gwvnsVABjAOaz\nz74J4JEi51oKQK9Zs0YL9c/TT2ttlqd8W69bV+vUCHH49re/XeskCDGRMkseccrszDONPf3IR6Yx\nQUJR4razNWvWaBjn11JdgoZqdA+i8nx2G4C/AfgUAEzFQTwbwFermC5hmrE93S4ZFkkYXV1dtU6C\nEBMps+QRp8wkDmJ9UO121pACUSn1eqXUfQA+NPX+AaXUpQCgtR4HcAKAw5RSD8MEyrtAa319zRIs\nVBw+71DmIAqCIJSO7KTSnDTkTipa6/sA3Ffg+w0ATqleioRqMzFh/5c4iIIgCKVDGw9wuyo0Pg3p\nQRQELgpFIAqCIJQO2VCxpc2FCEShIbFb7WXFqCUM34o+ob6RMkseccqMbKi1q0ItqHY7E4EoNCRW\nFIpATBoiNpKHlFnyKEUgii2tLSIQBaECWEPWLUYtYXR3d9c6CUJMpMySR5wyE4FYH1S7nYlAFBoS\na8hSYtQSRiqVqnUShJhImSWPUspMbGltqXY7E4EoNCRiyARBECqDeBCbExGIQkMiq5gFQRAqgwjE\n5kQEotCQiEAUBEGoDCIQmxMRiEJDYg1ZRoxawvBtai/UN1JmySNOmYlArA+q3c5EIAoNiXgQBUEQ\nKoMIxOZEBKLQkFhD1iNGLWH09PTUOglCTKTMkkecMhOBWB9Uu52JQBQaEvEgCoIgVAYRiM2JCESh\nIRGBKAiCUBlEIDYnIhCFhkQEoiAIQmUQgdiciEAUGhK7qXxOjFrCyOVytU6CEBMps+QRp8xEINYH\n1W5nIhCFhsQaspVi1BLGypUra50EISZSZskjTpmJQKwPqt3ORCAKDYk1ZF1i1BJGV1dXrZMgxETK\nLHnEKTOyoXZkRqgF1W5nIhCFhkQEYnIRsZE8pMySRykCUWxpbRGBKAgVQBapCIIgVBaxpc2FCESh\nIRGBKAiCUBnEg9iciEAUGhKtgRlSuwVBEMpGa0ApEYjNhjxChYbECsSsGLWEkc1ma50EISZSZskj\nTpmRPRVbWluq3c5EIAoNiQjE5CJiI3lImSUPEYjJQwSiIFQAKxC7xagljO7u7lonQYiJlFnyiFNm\nIhDrg2q3MxGIQkNiBWJKjFrCSKVStU6CEBMps+QRp8xEINYH1W5nIhCFhoQmVdP/giAIQmmIQGxO\nRCAKDYkIREEQhMogArE5EYEoNCQkECU0gyAIQnmIQGxORCAKDcnkJInDjBi1hJHJZGqdBCEmUmbJ\nI06ZaQ20tIhArDXVbmciEIWGRIaYBUEQKoN4EJuTphWISqkPKaX+qJT6rVLqRqXUS2qdJqFykEBs\nbe0Ro5Ywenp6ap0EISZSZskjTpmJQKwPqt3OmlIgKqXOAvAVABmt9dEA1gK4XSnVUtOECRWDDJrM\nQRQEQSgPsqeTk7VOiVBNmlIgAvgigGu11i9Mvf8ygEMAnFG7JAmVRIaYBUEQKod4EJuPphOISqmD\nACwD8CB9prXeCuDvAE6qVbqEyiKrmAVBECqDDDE3J00nEAEsB6ABrHc+Xw/goOonR5gOrAcxJ0Yt\nYeRyuVonQYiJlFnyiFNmIhDrg2q3s2YUiLOnXoecz4cAzKtyWoRpggTi2NjKWidFiMnKlVJmSUPK\nLHnEKTOypyIQa0u121kzCsQtU6+dzuczAWyuclqEacKuYu4So5Ywurq6ap0EISZSZskjTpmJB7E+\nqHY7a0aBuBaAArDY+Xzx1HcFWb58OVKpFNLpdODv0EMP9QaxzOVySKfTyGazed9ls1mk02mv2ziT\nycj5yjjf176WwbZtGbS1BQVivaRPzhd+PjKC9Zo+OV/++e688866Tp+cL/98rtgodL516zLYuDF/\n04Ek3W8jnI/KzD0fHZtKpdDR0YGFCxcinU5jxYoVeeeNg9JN2CVQSj0K4F6t9Sen3u8KYBOAt2qt\nvYGGlFJLAaxZs2YNli5dWqWUCqXy4x8D554L9PUBP/kJcMoptU6RIAhCMjnwQOM9nDMHeOSRWqdG\niMratWuxbNkyAFimtV4b9/fN6EEEgK8BeLdSau+p958B8CSAn9cuSUIlkVXMgiAIlUGGmJuT1lon\noBZorX+slJoH4C6l1DCM9/DNWmsJA9ogiEAUBEGoDCIQm5Nm9SBCa32l1vplWutXa60zWuvna50m\noXLYVcxZMWoJwzcfR6hvpMySR5wyE4FYH1S7nTWtQBQam8lJIxBHR0UgJg0RG8lDyix5xBWILS0i\nEGuNCERBqADkQZw9u1uMWsLo7u6udRKEmEiZJY84ZSYexPqg2u1MBKLQkNg4iCkxagkjlUrVOglC\nTKTMkkecMhOBWB9Uu52JQBQaElmkIgiCUDlEIDYfIhCFhoR6vPS/IAiCUBriQWxORCAKDYl4EAVB\nECoDCcRJCQTXVIhAFBoSEoh9ffnbQwn1jW9LKqG+kTJLHnHKTDyI9UG125kIRKEhEQ+iIAhCZRCB\n2JyIQBQaEhKI8+d7t9YW6pieHimzpCFlljzilBnZUxGItaXa7UwEotCQiAdREAShMogHsTkRgSg0\nJCIQBUEQKoMIxOZEBKLQkIhAFARBqAwiEJsTEYhCQ0ICcWIiJ0YtYeRyuVonQYiJlFnyiFNmIhDr\ng2q3MxGIQkNCAnHr1pVi1BLGypUra50EISZSZskjTpmJQKwPqt3ORCAKDcnkpBGIc+Z0iVFLGF1d\nXbVOghATKbPkEafMtAZaWkQg1ppqtzMRiEJDQh7EuXNFICYNERvJQ8osecQViOJBrD0iEAWhAsgi\nFUEQhMogArE5EYEoNCQiEAVBECqHCMTmQwSi0JCQQKT/BUEQhNIQD2JzIgJRaEjIoO3YkRWjljCy\n2WytkyDERMosecQpMxGI9UG125kIRKEhIQ+iCMTkIWIjeUiZJY9SBOLk5DQmSCiKCERBqAAkEPfe\nu1sEYsLo7u6udRKEmEiZJY84ZSYexPqg2u1MBKLQkJBAbG9PiVFLGKlUqtZJEGIiZZY84pSZCMT6\noNrtTASi0JDwVcyCIAhC6ZA9FYHYXIhAFBoSCXMjCIJQGcSD2JyIQBQaEhGIgiAIlUEEYnMiAlFo\nSEggbtiQEaOWMDKZTK2TIMREyix5xCkzEYj1QbXbmQhEoSGZnJRA2YIgCJVABGJzIgJRaEjIg7jP\nPj1i1BJGT09PrZMgxETKLHnEKTOtgZYWEYi1ptrtTASi0JDIHERBEITKIB7E5kQEotCQiEAUBEGo\nHCIQm4+GE4hKqblKqbOUUrcopYZCjlmklLpJKfU7pdTDSqn3VTudwvRCApH+FwRBEEpDPIjNScMJ\nRACXADgcQAuAdvdLpVQbgDsBrNZaHwXgdACXKaXOqGoqhWmFBOLoaE6MWsLI5XK1ToIQEymz5BGn\nzEQg1gfVbmcNJxC11l1a6/MA/DHkkHcCOAjA16aOXwfgWgAXVSeFQjUggfjccyvFqCWMlStX1joJ\nQkykzJJHnDITgVgfVLudNZxAjMCJAP6ute5lnz0A4ACl1H41SpNQYUgg7rZblxi1hNHV1VXrJAgx\nkTJLHnHKTARifVDtdtaMAnE5gPXOZ+sBKBjPotAAkEHbYw8RiElDxEbykDJLHiIQk4cIxOlnNgB3\n8Qq9n1fltAjThKxiFgRBqAwkECcna50SoZq01joBhVBK9QIIe7wrAFprvWvM024B0Ol8NnPqdXPM\ncwl1ighEQRCEykD2VGxpc1HXHkSt9QKt9a4hfwtKEIcAsBbAYuezxTBCdG2xHy9fvhypVArpdDrw\nd+ihh3r3Sczlckin08hms3nfZbNZpNNp78qkTCYj5yvjfD/9aQZ//nNmZ6ibekufnE/OJ+eT8yXl\nfEAGN96Yv699vaSv2c9Hx6ZSKXR0dGDhwoVIp9NYsWJF3m/joHSDdgmUUp8H8DmtdYvz+akAbgCw\nh9Z629Rn3wRwrNb65QXOtxTAmjVr1mDp0qXTlWyhQlxwAfDoo8CqVVl87GNdOPfcWqdIiEo2m5U5\nbQlDyix5RC0zGl6+8ELgkkuA8fEqJE7wEredrV27FsuWLQOAZVrrtXGvV9cexDJRIZ/fBuBvAD4F\nAEqpJQDOBvDVKqVLqAI0JLJ5c1aGRRKGrzct1DdSZskjapmR/ZRFKrWn2u2s4QSiUur1Sqn7AHxo\n6v0DSqlL6Xut9TiAEwAcppR6GEAPgAu01tfXJMHCtDA5aQTiAQd0i1FLGN3d3bVOghATKbPkEbXM\nyH62tIhArDXVbmd1vUilFLTW9wG4r8gxGwCcUp0UCbWAPIgzZ6bEqCWMVCpV6yQIMZEySx5Ry0w8\niPVDtdtZw3kQBQGQVcyCIAiVgAtEobmQIhcaEhGIgiAIlYMEotjT5kEEotCQkECk/wVBEIT4uB5E\nsafNgwhEoSEhgbh6dX7sLqG+8cULE+obKbPkEbXMRCDWD9VuZyIQhYZEPIiCIAjlIwKxeRGBKDQk\nJBDT6R4xaAmjp6en1kkQYiJlljyilpkIxPqh2u1MBKLQkMgiFUEQhPIRgdi8iEAUGhLaHkoEoiAI\nQumIQGxeRCAKDYl4EAVBEMrHFYiTk7VLi1BdRCAKDQkJxOHhnAjEhJHL5WqdBCEmUmbJI2qZkf2U\nRX+1p9rtTASi0JCQQHziiZW1TooQk5UrpcyShpRZ8ohaZjLEXD9Uu52JQBQaEhKIixZ1iUFLGF1d\nXbVOghATKbPkEbXMRCDWD9VuZyIQhYZkctIIxCVLRCAmDREbyUPKLHnEFYgtLcH3QvURgSgIFUAW\nqQiCIJSPeBCbFxGIQkMiAlEQBKF8RCA2LyIQhYZEttoTBEGoHCIQmw8RiEJDQgJx/fqsGLSEkc1m\na50EISZSZskjapmJB7F+qHY7E4EoNCQkENetE4GYNERsJA8ps+QhAjF5iEAUhApAAvGII7rFoCWM\n7u7uWidBiImUWfKIWmYiEOuHarczEYhCQ0ICcc6clBi0hJFKpWqdBCEmUmbJI2qZiUCsH6rdzkQg\nCg2JrGIWBEEoHxGIzYsIRKEhEYEoCIJQPiIQmxcRiEJDorUxaCIQBUEQSkcEYvNStkBUSu2hlHqp\nUuq1SqlDlVLzK5EwQSgH8iD+4Q8ZMWgJI5PJ1DoJQkykzJJH1DJzBeLk5DQlSChKtdtZayk/Ukod\nCuB8ACcB2IU+nnrVSqkcgOsAXKG17is7lYIQExliFgRBKB+yn7LxQPMR24OolHoPgF8DGADwbwCO\nAnAQgP0BvBTAGwFcAeBIAI8qpQ6oWGoFISIkEF/96p5aJ0WISU+PlFnSkDJLHlHLTIaY64dqt7NY\nHkSlVArA/wPwUq31CyGHPQngVwC+o5R6E4CrARxdTiIFIS6Tk+JBFARBKBeyny0twfdC4xPXg3gG\ngH8vIA4DaK3vAfB7pdTy2CkThDKQIWZBEITyEQ9i8xLLg6i1/krcC2itz437G0EoFxGIgiAIlUME\nYvNR0ipmpVSnUupwpdRe7LPzlFKPK6V+q5T6QOWSKAjxIYHY358Tg5YwcrlcrZMgxETKLHlELTPx\nINYP1W5npSxSeQWANQD+BGCDUuqzSqkzAVwMYBsADTP/8N0VTakgxIAE4u9/v1IMWsJYuXJlrZMg\nxETKLHlELTMRiPVDtdtZKWFuvgqzEOV8AHMBnANgB4C3a61vBACl1AoAXwFwbYXSGRml1DwAXwKw\n39TfCwA+rbV+mB2zCMB/AdgLQBuA/9ZaX13ttArTBwnE/ffvEoOWMLq6umqdBCEmUmbJI2qZiUCs\nH6rdzkoZYl4O4GSt9bVa6yyAtwBYTuIQALTWd8MIr1pwI4AFWutTABwC4FkAdyullgCAUqoNwJ0A\nVmutjwJwOoDLlFJn1Ci908YttwDHHVfrVNQGEoiplAjEpCFiI3lImSUPEYjRufVW4Jhjap2KZAjE\n57TWQ/RGa70agG9gfGvJqSqPVwIYAQCt9SSAz8N4Ot819f07YeI2fm3qmHUwns6Lqp7Saebznwfu\nv7/WqagNskhFEAShfEQgAhdfDPz2t7VORfUpZYh5X6XUZbA7pwDAQqXU5c5xqdKTVRaHARhi77dM\nvVJ6TwTwd611LzvmAQDnKKX201o/U4U0VoXh4VqnoHaIQBQEQSgfEYhAR0etU1AbShGIiwD8u+fz\njzvva1KNpjyCnGOm0nLn1PvlANY7x6yHEZAHAWgYgTgyUusU1A4RiIIgCOUjAtEKxOFhoLOztmmp\nJqUMMf9Oaz2j2B+Auyqd2LgopVpgFqxcq7V+ZOrj2Qh6GMHez6tW2qoBCcRmbNAkEHO5bFPef5LJ\nZrO1ToIQEymz5BG1zEQgWlG4bVtt01HtdlaKQHxLxOPeWcK5AyilepVSW0P+epVSxeY5ZgEMA/gw\n+2wLALcPMHPqdXO5aa4nSCA2oyeRBOJTT4lATBrVNIJ9fUB3d9UuV5c891z5c5VFICYPEYjRIQ9i\nb2/h46abuheIWuuoi09+Gvfcnmst0FrvGvK3QGu9a9hvlVJXwAwnn6i15hJpLYDFzuGLYYah1xZL\n0/Lly5FKpZBOpwN/hx56KDKZTN7xuVwO6XTaW7DZbBbpdNob/DKTyZR9PhKGQ0OVOV+l0zed5/vD\nHzK45ZYMjjuuO2DQ6iV9cr7w83VPKbZqpO/CC4G3vKWx8i/u+Y480kY7KPV8e++9d2LuV85nztft\n9IzCzmfsZwYf/3iGvU/e/ZZzvvZ28/r447VNH5WZez46NpVKoaOjAwsXLkQ6ncaKFSvyzhsHpWN0\nB5RSw4gRvkZr3VJKospBKdUK4GoALQDeo7UeU0q1A7hEa/0JpdSpAG4AsIfWetvUb74J4Fit9csL\nnHcpgDVr1qzB0qVLp/kuKkNrKzAxAaxfDyxaVOvUVI+nnwZSKeC884Dnnze9v+9/v9apqg1btwJz\n5lgDJwT58IeBq64ynahmmlvEUVPL95rRMxSVTZuAPfawedVMPPkkkE4Df/kLcNhhwJlnAj/5Sa1T\nVV3e/nbg+uuBn/8cOOmkWqcmOmvXrsWyZcsAYJnWem3c38ddpHI3gMdggk8rAJ8A8J+e4/YGkI6b\nmHJRSs0GcDNMAOxLAfyzMi16EYDDpw67DcDfAHwKwGem4iOeDeCj1U7vdDMxYV4HB2ubjmpz9VTI\n8/7+5jTonN12A1auNHG8hHxmzzavvb3AwoW1TYtQnwwOAnvtZaYieJxADY87xHz99c0nEIemVinU\neoi52sQViJfAhIjZDABKqdO01v/rO1ApVYtJKa8E8Map/910/QoAtNbjSqkTAFyllHoYQDuAC7TW\n11ctlVVmyF2SM83ceiuwYgUwa1Z1r0vsOjXxYP16YP786nlGXngB2H13oK1WIeJDcOfYbdxo0tlS\nJf++1kA2C7z3vcabWU9QHRWBWJ/cfLPxXh14YPWu+Y9/GG8htY+//tW81ltHe8MGU2dnlLKSIAau\nQKw1990HHHwwsPfe1bsmlX1/f/WuWQ/EKnKt9e9IHE6xu1IqLEJQeYPfJaC1/rXWuiXk743suA1a\n61O01v+ktT5ca/3daqe1mgwOAocfDnzkI9N/rb4+4NRTge99b/qvFQY99NdNBTyqlkB8yUuMCKp3\n9t4b+PSnq3e94WHgnHOMSKw3yIO4tVZh/YWCnHYa8PrXV/eaCxcCX/2qff/YY+aV6ko9MDICLF4M\n/OAH1btmvQjEN7wBeN3rpv86mzebEai//c06WWhULglMTgLj4+Wdo9wi/w2AW5VSy+kDpdReSqmr\nUaM4iIKFPFm9vcbI/fjH03/NJ54wr3vumf/d888D9947/Wmg3t769cB992WqOreqGnlcCm4e/PKX\n1bv2jh3mNapx9U3mni4mJ81rVIHY2wvceGPx42rJ2rXA3XdX95rTWWbVDPhPtoOvM3jqKfM6Nla9\ndBTjkamgbaOjpZ8japnVwoP44ovA7beHf7969fSnYcvUFhs//KGtF7UWiHHa2ZNPAgccUN71yi3y\nT8MM0T6plNqmlNoI4HkApwF4f5nnFsqEKvODD5rXo4/2H1PJSv+Xv5hX3/DyqacCb3pT5a4VBg0D\nHD4167SQQHzmGeDb357+NNUaKmPKi2rOpSGBWI/QSv+oAvHTnwbe9rb6Egsuxx9v/oT4bNhgXndl\n8TGojpQjxioN2fRKLKx68knguwXG0MhmtJayrUaJ9PQA//Iv1buerz2T1/CPf0ymB7ESU8vKEoha\n6z6t9RsAZAB8G8DPAHwSwP5a69+VnzyhVLS23pF//MO8+layHnSQDXFRCZ57zrz6GtL27ZW7TiH6\n+4HXvtbUIl/qAAAgAElEQVQYmTe9qSdUIG7cCHzoQ2b4s5IMDNTfNodkAOkhV80hVRLsUT25PT09\n05cYByqnqPlB90JepXrk2WfNa5T4p2QjymU6y6yaC81oWso8tmWC23ZqzdatNmBzOfMiqcxOOcWI\nsd5e/z1Su91lF+C666qzO9XwcPXye/Vq82ykdkOQwBoft/lc7pBtucRpZ5V4BsUSiEqplyul8qaZ\na61v11p/VmvdpbX+ptZ6C/vNQUqp3ctPqhAHLtA2T80a9fUocjngdxWU8tSofQ+eai2K6O8383M6\nO8ON2dgYsGyZmV8ClG/weH7vvjvw8pcbzxl5JGoNGbaBAfNazR0ByINYj2FUeKzQKNCDgqZSELfe\nWv1tHT/3OWD58vzPqaw94djy4A/hWj/8XGqRnvVTm7BycU3pqKVAnJgwnZInnzSRCaj+VWLhDNX9\nt70NuPLK/O+pTitlwodpPf0d4CgCsVJtjZ5/bieR8nZkpH6GmOMwPFx+5yquB/EIxB86/iaAOh6Q\nqX+0Bi6/3D7co8ArMs2lKGRMinkSHngAeNWril+Xetu+hlStIYr+fjuhPOyh3dtrDCOll+dtKcOH\nXGAMDxtDfuqpRqhWip4eE4+tFFyBWA6/+lU840wCcXjY9NKrOXRUDBICUcUIia5nnjF1/JxzzP39\n9rfm8/XuLu/TyEUXWU/mD35gymV83LZl6vwUgt93vey4dNddwDe+UfqK0dWrzXznUqD2xdsJ5VFc\nu3DjjZXriF10kekMrF1r3r/wgnktRSDyOgJY27V9u79DywUiRSGY7tW8UQRiMbH2wx+a+IXFePpp\n8+reE+VLf79tG3EF4k032VXw1aYSsV3jCsQfAfhXpdQ5SqmCwTyUUnsrpX4IYLXWukqDi8lifDza\ng3bzZuCTnzQVPs65CRra9XlJqIdBBieMNWuiTQwuJBDjehC3b4/2kHPp77eGLEwgkuGmYXfqPY6P\nm8/uirmTuM9QV3oYcuVK4P0lzuylcinV43DeeWZhy9/+ZlaV/upX0X9LAnHHDuCyy8x8p0p62gYH\nS5/nSJ6QKAJxfBz4+9/t79asMfNXb7kF2Hdf8/m3vlVaOuJCQ6HEBz5gyoV7dqolEEvttIRxwgnA\nJz5hyzSuF+Sgg6xn9fTTraiKAtktX4cxrgfxbW8z7aYS0JxDd4SmlPbc1gb867/a9/RcmJz0C9pK\nCMShIbsaPArDw8UFebHv16yx7bUQzzxjXl0bQvkyMGDbSVyv9umnA694RbRjo+qBqAwPV1kgaq2H\nAZwC4F0ANimlfq6U+i+l1EVKqc8rpS5WSn1XKfUggGcBbANwbnlJbFza2qKFKaDe8Pz50c/NBVoh\ngUgVcnjYPOjC5iOOjETrQUfxIEbthZ16qol3FZeBAWvI+vpysQQiGeC4w+4+Q73XXua1ko0+jkeC\nX9f1IMb15n7968B73mO90XF60vQw2bHDroQs9LD1bVVViEMOMcP6pRDHg/jUU+b4dNq0JfpNa6sV\nZl//enWGob75Tf/ndD8ve1l8gVjKsOEvfmHq+aOPxiuzKJSzuGlgwJTDTTcVXoDh4hOIpQwxU9ur\nVAzajRvNK5VvX1955//5z207496x6RKIn/ykXTQYhZGR4oIpioAM6/TceqtdtEn13q1vPPYh1YFS\n2nbUjldbG3DxxYWPiWMbh4ftHtKlUspezGu01q8G8M8AcgBSAE4CcBaAEwHsCbNbSVprfY7WWoaX\nPVCljNKromGrOHG4qCLPmBFtQvP4OHDJJcD99/u/j9KjA6IJxKgPolJDGXAP4t13rywoEClNJBAp\n/XEfToUE4osvxjtXIaIaqNWrg50PVyCWYjjGxuyDIU5d5B5E8gYVGupeuXJlrHStWVP6/LA4AvGJ\nJ8xE/QMOCLaHtjZT/tRbr8YCpYEBU4Zz5wY/p2sffriZ5lCMcj2ItADubW+LV2ZRKHf1O4mnOIHr\nC3kQn34a+J//iXYeystKTashgUjtjzr9pY4IzJ2b385GR6MLxLhTVeJOvaB6XOiZU+x5NDoa3hY/\n+1nrBKA2QKKbcD2ILS3TPy/2Rz8q/H0c2zg0VAOBSGit79Za/z+t9Yla61dorZdrrY/QWr9Fa/1l\nrfXT5SWtsSGvYJRo8DQvJI4Bp4rc0RHe23Q9TLvskv85MTJijGexuYpcIF53HfD44/Y7GmKO2ust\n1RPD5yC+9KVdBQUipcUViHF7yIUEYqnzoXxEzZOTTwY++EH73p1rGXXYTmt7zfFx+/s4MdHoQd/f\nb39X6MHW1dUV+t3FFwPHHhv92sWI8iAinn8eWLIEmDnT1BsSpSQQd9vNvK/GzkVDQ8ZrOjgYbK9k\nI/bfP9rQb7kCccEC8/rWt9oy++UvK7ObELXBUu0A1bHW1ugP9kIexCuvDA7NFoJ+X6mFeSQQyW6V\nuoqZ6sqcOfntbGCguEBsbzf3FNc+xo2hSO2S2pjWwFe+EkxfOR5ELgbDnAKUtzt2mOt3dEz/6ECx\nqV6FbKNL1YeYBcPISPnDhiT6SEQUwreyrhhUkakHQQ8xjttLJm+Er+dODfbyy4Frrw2/LheIZ58N\nnHii/Y5601EfoKWG4Bgbsw+oQw4pLBApD9wh5koIRJoSUAmBGHcOjHvPrgcxqqH793+35cYFYpwJ\n+74h5qgC8fjjzdQH4sILgd/8Jvq1ixHHgzg2Zh6QM2ea9sA9VLUQiLvtZsqRlwXdz9y50cqo3CFm\nmqJx3HG2zG6/3ZyXx9pMp008uTjwjkUp9pbq2NVXmzKKco5CAjEOlRaIlHa3YxtXIFKe+gRif39x\ngaiUycu4C3ZKFYh0nbEx4DOfAX7/e3tM2KjBjh0mdE9vb3id5s+4Qh5E3tFpby9dIEatv8WmEEUR\niKRPajLE3OxobVT5pZeWdx4SiFEMCImXcgTiHnvkP7h4gxgft7G/fEOidO3zzjNz0cKgBk3ijg+x\n0L0WMmq33w786U/Bc8RlYsJet9giFTLklDfcg3jXXdE9bT5RQAasEisZydBRud5zj1nVHIab7qgC\n0Z33wxddjI1ZwxrnoUnXHByMJhA5d98N/Md/RL9WXOIKxLY20/6Hh+09aF07gQgE85LqyZw58QVi\nKR5E+j33Vi5aZF5pgcDkpBnuvvrqeOfmsedKmUJAv6dFCHyYMyxvyOaUEtWgv98MXU5OVl4gEmGh\nWIrx2c8Chx1mRbs7NQGI5kEEjG2NK5QoHyg+79e+VrhM3eDk7kgPEF4ud95p5lg+/nh4neYxeQt5\nEPfYw77v7Cx9iLmacXE7O4HvfKfGQ8zNClWQa64p7zwkEKOIIKrkpQ4xA6aij40FKzhvEGNjdoh5\nyxbkEbWCU4MmA8KDc0cZYj75ZOCVrzT/87zp6zNBraM8fGm+CFBcIFJ6KW+5sfjJT/znv/deO7RG\n+Aw1GTPyoP3oR8DPfma/j+MVcQXiihVmVXNU3CHmsHrX1gZ87GP+NI6NWcPqGuehIZMeXzB0Hk+M\nBGKcOUyFjHK5semo3DdsMG3E9SLwa3CBODQU7FSECcSJicosUnLPEyYQ6X64QBwf9z/QP/lJ4IIL\n8n8bB7oGF4jUOSOBSHYm7nw8nh5fu7/8cuD668N/77ZJ8mBqbezSrbfm/4byif82qij43/8Fvvxl\nkxfU5uMIRK1tGW/fDnzkI/l21xWIbr584xv+hYZf/aoRTPR7mkvI6wXNQXTrqysQo87F+9GPbPlQ\nux8bM/Ojzz8/ODLg4g4x03vulQ4TiDT3tqUl/LnF7R/di28VMxeI5QwxVyuEFA1R/+Uv4kGsCVSJ\n4oRO8EECsVCFu/ZaE38wrkA87zzgve81/9McBKro3KC4HkQSc1EEYtgQrBsSggvEuEPMPG9+/3vg\ne98Dbrst2u+4QPTh9pS5CADM/dE9uwbzG9/I//3gYP7CDWqsVGfe9S7gjDPMNb7whXjDLq5ALEaY\nBzHKllFkuN375gLRfUA89pjxaFI8QMCU2Zo19po0jxWINzTmpp1DdZU6N3GhfL33XnMuN3zMk08a\nI7t+vRWINMRM91BIILa2hq84jkNra3BLyCgCker0smX+UBuXXx7cV7oUL4dPINL9084UVGfizkvk\ngX6HhoCf/jRYbz/5ycJx7tw6RvHuKF/+8If830QRiGGCn+xpS0tpc3W/9CV7/Oc+Z+Y8rlsXvB4t\nCgJMGbv3+JWv+Bca0nOABBZthep2sAot7CBaWorbIa2NvaPy4dELqEwLncMdYi5FIA4OhneOOHQe\n3xCzKxBXrTJtMa7gGxoyojjKwqtytvH885/N69571yYOYgCl1OVKqXeXl4RkQQ+kcoeRogjE730P\nuPnm+ALx61+3ceqoB0FhQIaGgF//2jQ4bgjGxmzF9AlEujY17rCVuXQO6qnyHgw39lHgvTwyDPfe\nW/x34+NWjD7+eLagB5FwPYh8uzy3jGg7Qd6QBweD23MBthNBYvrAA83rhg1mGCQOxYTdgw8aQbpt\nm3+fZXrI0X1yb4UL5bvPUNG5fR5EwIgn4rWvNeFWhoaMx5XP21u3zu9F/NSngEwm602Hr1NC5/Nt\nIxkFdycVnn7AluHzzxf2IA4MmHtUKr9+x4kZWYg77rD/Fxpibm017Y7ybf36aNESyvEg/uEP2Z2f\n8fAggH3wUpt88UWz2MfnbeYCfccO66l/+mngzDONSIyKu0iH0krl4xNv1L54Xrh1fXTU1ovbbssX\nGFQf6Nio8NEFmmYzMRGsT2vW2P/nzcsXiBSP020rVK95By+bzXrT59pG3xBzMQ8iDetTx43yemQk\nnkB0h5ijCEQ6hndMw5iYsPdC13zoIZMHg4PB8FkdHaYDPDFhnwGF4Pe3fr0ZVl+1qvjveCfAJZvN\nhn8JG/mDnl+19iC+E8A63xdKqVllnrsu8YmnUogiEEdGTGUPE4jbthVfqUgVhMTLjh3A615nhkJG\nR03DbWsLzvPxNSjXmxbW6KjRkoDkD27XQBeDC0Ra6BHF88Q9iE88EU0g0r3TKx+eeOSR4LFkHNyh\nRNeDSA8R6jVSmsbGbA8+KsU8iEceCbzpTcA++5iFT64HkfJ+ZMSmI+xclO++hwd5nMbHTedl2TLz\nnvLCHVLbscN4kubPN9em+/jAB/xBhC+9FLjtNmME3SDW/KFHZVpObxsw98iNqJsnPK9GR4OLVFwP\n4uzZVjxyShWvvrQShTyInZ2mTccZ3m5vL224nsrmiSfCBSKJEhKIf/yjeWC6cRqfe87UX2LbNrvQ\n66GHgud0ufpq4IgjzP8kStyg5XR/lL4wgThjhn+rPeLOO029f/ZZIJMBrrrKfM7n55JAjOOV5eVI\n5TY+HrxnPnI1a1Z+fV2yxLzyANGbN1t7R8ePjRmx4bPjxQRiFA+iK5CpHY2OFt6OlXA77L4908Pa\nvusFLlQG5BiZOdNe8zWvMfPsh4eDnf6ODlsf3RFErfODcvO8JdEXpRNWaHvWYgKROinbttWHQOwC\ncFTIdxEGA5MH95yVs9F9oTmItAKJ5oSECcTly/NXQbsPBKogJF4ozubmzeZ87e3GcI+NFW647rWj\nCkReQcsRiDRcGyXP+SKVk0/uLsmD2Npq0/nqVwcNky8G2cREcAht331tWbg7QlRCIPpEx3PPmWv5\nDCf3IJI3IczIFxJfW7fa+nLZZdZQkmHy1Ys//znfgwgUig/ZDcA+ZHzbBMbdIi+MyUm/QKQ84AKx\n2BzEWbNsCBzAP82iHNw5eeSxdAViR4eti24ZhgnGjo7S7Bmd//Wv7975WZhALJYWt7PLBeK5U9st\nhJX3pZcCjz5q/p8719RRPt2BX7+QB3Fy0pRjoT2qaeicvGR0PmoDlRCIPM3usCR5CTs789swtW0e\nOWGffYLzUQFzf93d3dPmQaR0DQ2ZPOVDzFSPC9W3sDmI3GYUE4j0m0KijOblU5nTsbmcec9HFHjn\nj8qeuPlmM0LExbxPILojdxxqs4UEYnd3d/iXsHWFtpKtdZibLgAfV0rdr5T6Jf8D8Ooyz12XbN5s\n/y81SKnWtgH7HtKf/rTt0fCl+m5F52khXA8nPfxIkJCLm3tEyIPorkDmuJW6mEAkQcU9Sr4VaUpZ\nw+7C86ZQfo2NAV1dwVWPdN0FC1KxPIiUfneCM/+fGjIv/8nJ4L3ScDKQ7/XgAjGq18b1plHPlgsu\nfq6wOYijo/bapXgQAVM3uWdj61Zr1MLE/4IFQQ8iUGihSirwvW+ImZc1UPpCkImJoICbmLDheG66\nKTi5PmwVM/cgcoFI6S23F0+4AnHmTFOW7hBzIYHY0WFGD4BgHSk1hAedf9as1M7PKD1UfiQQiy1M\ncoXQtm35i8F8wmT9ervogtI0c2awTiiVb39885MnJsxvx8bCp1rQeWm4l/Ka0s+HmCvhQXTzhWzL\nzJn5tto3FYWngacxlUqV7UG89loTUcGFp2vz5qBAdBcyAsaenXlmfppdUc8FYph94uKUn8vH6Ki5\nxuzZ5n8aHaLnIe/0d3TYNu0KREoXTx/PW4pjeeGF+dNYCMqzQgIxlUqFfwmbvnrxIM4GcD+Ap2G2\n1uN/DbmDCu/llrphOR/O9RnlK64wr6OjwSHmKMbGnX9GPQgSBTSB97nn7PBaKR7EsMbpehD579wh\nbDJEPJg2h+cNiWH+2dCQ6bmtWmWW9dP+ycXC3GzcaD2pQHBIidKvVP4cTYIanTvEzD0SPAC660G8\n9lrghhvM/1HrEKWFXkkgcs9mmEDs7AwOMVNdCOvBuw9G19PS0RH0kuy2m/XwhNXRBQuCD06g+IRt\nLgK/8Q3zR7hhiXwMDxcXJRMTQSM6Pm5XXtLCFDqXu0iFp4F661wglrNrDYfqrzvE7BOINMRMotfN\nn7ExE/IEAHbd1X7e1lbcg+iuoOXnd+fjAuZB94Y35E8Pobrptku3PvT25nvafQJxyRK74ERrc4yb\n53Pn5gvEsCFmt/M2Ph70xFC5kg1xBSJvG3HmqlP+rFhhP/N5EMm2+DyIdI6wsnS9ue4QMJC/zWih\nMDfveY9J7zPP2GkAQL7t9nkQ3YgafH5pmAeRO0DC2r77mzgeRBL9g4N+gUj56opoChvE08dtIXkQ\naRGJL1pCKQv4XLhAHBysvUD8LwDnaK3f5/4BuKzMc9clGzbYylCqQOSNxycQecUuNAfRh2uQqIK4\nQw8kEKN4EJUy8Qk5xTyIJOh4etz5JMXmkfl2iOD59bnPAaedlv+7YmFu9tsveE3+8KDPtQ6mnTd2\nelgU8iDyuStuPbn8cvt/MQEzPm5WPlOvktJBdXDr1uLeMypfoPAQMx3jehBdI9PebvKp0KIRF/IE\n8YUJPiPJ4TEbP/GJ4APE9SD6eO1ri+9fPjnp9yACppyp3vEHBg01cQ/i+LgVj5X2IHJxT5BAdIf7\n+vsLexA5PG+KzSu77TbTEXDL1x26BGy+PPggcN99VrxF8SBy78q2bfl5V2xok1au+gSi640K8yCS\nQORChgtV6vySQHTDpIyPB71XX/tatOgL1N7uuce2QXcOImDLzedBpLwPK0tXIPLA6sSXvxyMGRkl\nzM1RR5m5ewS/Pp/3PDISzeHhdtgpP6MIRPfZdPDBwEUX+Y8N8yBu3eoXiETYc5anj6eDpkgdcIB5\ndee183IsZ7eWHTtMWfb2mrJ2F07GpSyBqLW+DsCwUupspdRH6XOl1PEAbiovafXJpk123l+pe4Xy\nfZLPP98MZfkoNgeRMzBgVjmGTZAnA8eHfUggFvIghomPqAKRiyjXg+j2JOnVNdyTk36Pq7vXLKW1\nmAfR7aHNmpUfmJXmgRI8XylP3TmI3CPBjYnrQeQU62SsW2dWN5LHkdLEhz6LdRy4iOAeRNcQ8RXO\ngM0Ldx4LBYz1PfALeRABU5+//GUzsb9Y+/HFbHTFORf0Lo8+Gm2ulDsHkdc17nUK8yCOj9tOic+D\nWO4cRNfbQ9ebOdNck3sWt26NLhDdGKWFHkwUOsUtX8pf14PI6wyVTRSBuGSJvca2bfl1r1h5bt9u\n0uIKRB72x607HBpiBoKdRr4AzRWI1IZ5h5d7/M8/3yxmiQNfEe22kz33NK8+DyLVvTAPIj8vYO/R\n9dTya5aySMWNr+hbpFLIuxrmQYyySMU3uvXjH4cfOz5uBSIX0NTpI3idGhw0tpl2diHbyad9+eYg\nEhRyiTj4YPM6Y0Z5ArG/33iYBwZMWfsCoseh3DA3KwCsBfC/AM5lXz0D4ALfb5LOiy/aoRn34f78\n8yY4KBmOCy8E3vKW/HNQBaDK51vNCZgKtn27aUgtLcEK5z4Q//VfgZNOyjcmZGDJwJGR7uvL9yD6\nRFiY+Aj73G3QPg+i24N054y4Qz9haQsLNcA9iN3dmTxj6Z6fjANPYyGB6PuMr5wGgv9TmfiMdrGH\nJn3PxS+fHzUx4T8HF6N8a6xCHkS6X3eI2Z0zQyFUfNcNM/rk9aCH/ty5hQSieZrynUoIikvmehB9\nRjWKMPMtUuHe6kIeRC6OqPx9HsRy9yV2H+Y8JE9LSzDPSZxFEYjuLkeFhpjJA+I+fOn8v/+9VUDu\nDhRUVm7HzL0eeT/a2039LeRBdO0f3cv27dGHmH02LIoHkbxE9JB39zd3PYilQNfweRBp9frMmfGH\nmGlodGwMyGQyO+8xjkD0LVKh1dM+O81jH/IhZtdWcJsVJhA5UT2Ibnrcc3APIhfQo6PBNuJ6EN/5\nTjNKMTHhHwKndLS02DmIvs7J5KRdAR02F/iRR0z+ZKZ6Gt/5jpla5ZbDjh1Gn4yNmbZQU4GIqSFm\nAC8BC3ejtc4BKDK4k0y2bjWNqbMzv+EuWmSCg9Icn4svBnyLjtyVqIXEltamVzJvXvA4N4YYDQG7\nk2fpGtzzsttuxqgNDVmBSA0FCBqXsAe+GwbCN6HbfXi5HkR34UVYqBQSiK2t9jonnGDnLh5+ePB4\n14PoGpIjjjChfqjXxj2IPA94b5AbKN9cEXeIma7Ph3d9Bq2YB5F6zPyBODxs84Fv68Xhx3ODzhep\njIyYYLxu6KK+PjPEVGiImZc5p5gHsbfXPNgKC0SDz4O4665G4LuG1udZWrjQ3g/hptldpMI7I5OT\nwYcZCUR3DioJxNZWvwexHI8AnR/wx2xsbc1f+MM9iIUWQfGHn+u5oC3RCJqa4toqnwd3aMh6uQCb\nPree+h5uc+eaNjtzpqkrYR5Ety1RnQ7zIPIhZtpBhefbQw8BDz9sVzHze3U9iCQCqF65QbHHx/Pn\nDMeFrkF2mZcVCcTOzvhDzDRVhXc6Zsyw+fXVr5pX3jbJ9hbyINI0goMPNnMY6fvWVvsco3OFCUR+\nj75FKm7H3jf/FYgnEMmDSM+Avr5gwPtCQ8z0Hd/MwicQ582zHkTfXvbu6JTPltG2qtQuu7qAl74U\n+P73g8f19xsbSd7QWgvEXq31NVrrfwBwi+AlZZ67LuntNRWj0ANuv/3yP9uwAfi3fzP/u9vghXkG\n6fP+/uICkRqXG1uMKnFbm/njwT9ffNEOMbsPRiKKQGxrA/7lX8z/vOIvXmwaxPXXm/tye4PuJOKw\n+GSUNh73ixakuFDaSayddVZPnsEYGDDz+ugYHtaC0t/Xl//Qc69RaIiZzk3x6Og+XKIKRF7XXIHI\nz/Gud+WnzR1iJo/gbbeZ7bxoZTt/mB11lM2LsDmIPsLqC8WmGx42bWfu3KAXLoixhj6BNXu2KS83\nBM7YmCkvfuxLpizQs8+ah9Zvf2uM5xVX2OOiDjH/7W/mGu3t9nh3DmLYEHNYXk1O2rzv7Q1fvVjM\ng1hIIIZ52bXO93hTnbr/fjPy8aEPAb/8pbkePeD4FIzJSZu2Qw6xG4MPDAQ9iGGCOUwgAmZImEL2\ncNygxgTZP5qT6wpL8iC+8ILZEg8I2rDXvMaEs+JDzNyDyMOJvfiiCQBPK6ep/fEwViRoShWIfBWz\nG0KLBIzP21RsiJkcCKOjQE9Pz85QZ1QXXvYyk1duuBZeDoXC3DzzjOl0UoeZ4mvyDqpbjymtVIZ8\n95PRUbNt3J/+FOx0ALZj1t4efB4UE4ju9qEUVYI8iPR8HBgoLBCp/b/wgr0mfy5TUPDZs4P70dN9\nEbzjxMv0F78A/vu/g/dxww09BUedyINIDqBaC8QhpdTR7odKqU8DKLFp1D/t7cY4uA93t+fJ+cY3\ngGzWVAzXg+jzTgHBRr7LLsHzuoaB3rsCkQuVtjZTcagBbNliHybleBABuwuATyC+/e2mgbueEHp1\nV/yFCUQaUglrIO9/v92Jge67oyPfi9Lfb8qPrsM9iOQ1dAOh8jLyCUTXg8jzvdDOJMWGmEkg9vZa\nkTU0ZMubexD7+sy0BiA479FdpEL1lAylz9sxMBDuQSz0gAh7IPK8mTMn2kIvPlxGZbV5szG49Dvu\nRbj44qAXgh7gvb3A0UebPWq3bwc+/nHrcfctUuECkerFlVeahxD3IHIB6PMgumkEgu3pqquMFwAw\n+48vXmy/43aCP1z5OciDWGiI+U1vst/xB+PERNCGcK/QcccZj8Vf/wq88Y1mDh3dK+XHl74UXKzg\nLpThgorS504LcNuDKxCBcIHo2iX6nDw4hTyIhK+uhg0xL1pkj9myxZRXX5/pGLvTQMiDOG9e4SH+\nKNB0Ep9ApBiDnGJDzLRKd/t2c388kgVg2pnr/HAFItUVCpfkstdeJt0+gcgXqVAZ0iulgT9bxsaM\naL36ajsiQHBvJA+VVkwg8rxx5yByD2IxgUjPiMFB/0YGlG++xS28XoQJxDe/GfjoRxHAXRzoTrUg\nDyJRa4H4HwDuUkr9CcBLlVI3KaWeA/B5AOeXee66JUwgjo2ZwvE99KhXunVr/hxEXygYl/nzg72T\nsLknrkDkQ52uQNy8ubgHMWzJvZtOLoLovvgD74UXrDFyh5gpv4oNMVP8PR7zjLN9uzUUdN/8esTA\ngDkH9fhnzTIepk9/2uzvSnAvhDvf0PcZF7Z0fT4sHsWD+JWvBOfikEDcti3ohfN5EGfPtgaB5hrN\nn2/02kAAACAASURBVG8XIQFBgegaZJ5PS5bY4Sd3Dh0/n0uYQOR5Qx5EoPAwM3/w0hyno44KPsD4\nymt3D2n6jvKQ1+u//tW8+jyIfA4ir+f0oC7Vg0hhWx580Lynh/XkZP7UkI4Ou0K/0BBzMQ8ix/dg\nJGiImT9wyPv49NP5XkxaUe4b5tuxA0in7Xs3P3yikn5H9YJeXU+gGwSZ4J5/IHyRSrH51WGLVLgt\n27bNDoXz5wBv50NDRiD67PkVV4TvEe9CUzl4eZIdGBwMfw74hlT5XOJnnzUe07e+1dhNsrktLfkC\nkeaqE9QxoHBQLpddBrzvfeEeRLceU/6RPeJly/OPx8SkUQwqd25ffOXK676vHcT1IG7daucVDgz4\no2z09Zn66wtWHcWD6GN01JYNzTXk1JVA1Fr/DsBLATwCYBOAgwA8COAVWuvfFvptkuHz9gitrUD0\nPfSokrz4Yr4HkZ8n7MF7/PEmhhJF8XdD5QwPm57b2rXBpe2uB5HmIAKmJ8zvpdQhZv6bsTFriPiQ\nwKZN5jsaOgLy5yZFEYhRg+3SOdrb89Pa32/EFD0MSTBdcknwOB7LsNgQM3kQ993XhGTh16ey8pWt\n+9l11wXfc4HIg2O7cxBnzTJG0t3ub8GC8CFmHnoCCBrmxYvtkKpbHtwj6UL55PZsjz/e/j9njs3z\nQjG/Bgbsg1Qp4LvfNXNu+AOM5x89JCjPqD7T/qQcEojuIpWwOYhEmED0LVJxPWV0XhKIheamAmaI\niX/v7mXuW6RSSCC6CwdcD+LkZHBImhambNuWP3+YfktxV7lQ7+8HXvUq89kuu5j0KZUvmN37pt1o\ngKAH8YtftMe4YU8Iun5Y7EkaYg4LIE2EDTFzgQjYdPLhQ97Oh4ftvRPUJn7yk/zrhkF1i5cneWdf\n8Yrg/dCxgN+D6N4D35+bC8Q5cwp7ECkOYqG2u3Fj9CFmEoiuPXI7olzg0kI5N46j1vE8iJQG7kEM\nE4j0/7x5dqRqr73CBeIttwCvf70/zJW76p8IE4h8+gLlF801JCgGKH8G1HoV85la67Va6w9prQ/V\nWqe11mdqrf9aXrLqm7a2/GE2KvAwDyKJQZ9A5IR5EF/3OiPsHnjAvPfFHaNeOwlAwBolSrPWxgB0\ndFiBSPdSzhDz5KSdA0ZimHq6gDEYNNl7ZMQce8cd5jvKL3cVLcEFIl9w8MY35qfL7Y1u357L89CS\nUHUFogsXRr4hZndqwIwZRqBfdlnQc1vIgxgmDihtJHYGB4MeRL5698UX7XeumJs/PzwOIl3bF1B2\n4ULrOXCH/KN4ELmRO/fcYKdlzhxrbP1CM7fznsnA0dCpOwTmesEAa7zpftxwSIDNV3eRStgcRMIn\nEGkSvjvE7E4toPc0n4/S/oMf+PLAdlDo91S2JLio7fJ66A4xc3i7GhkJlhF5EN1wHIANiUX3ytNO\ned3fb8qMxNLcuSa9HR12LtTgoH2I8XMQPKwI9yDS/Gb+mzAPYphAnD07KKB85wDslAMeNWJ83M5n\nJah9z59vh7V9HkT+8HcFVZTFSz4PIu0S88pX5pdpoXPne7JyO/8jAULtq9AcRBpidp8Nxx0XfD9j\nRjQPIpXZli3Gq07l4o7S8fRT8H+qj3yBkC/kVZhApDKh+rF9uxWIQDDfqczJQ9fSYuIacoHI6zTN\n5aW88+0qxu+frleoXjz1VG5nnixYEDwP/Y4LaddhEJdyh5i/o5T6vFLqn8o8T6Igw+z23oBwgcgf\nVrSIxScQ3QcvVarOTvPQpp1c+LVpOJEEIncxc4FIlb293RivYh5ErYO9d9/9EBR+hdIKBHsv69eb\nY2bPNgbg5puBH/7QfEf55cYi5Ocmgch7tq9/fX66XA/if//3Sm9j5AIxbOsjPgzkG2J2jY5vDiIf\nYo7iQSR8i00oP7lAfPBB4L3vNfN0+HWJo48OCjq+itn14A4Pm7pw5JHG4NJ0AVcgtrWFr7x39yEG\n8n8/d26xMCwrd6aL7plW3NPvffP7KK8oyC+lgRaCcCg+ptaFF6n4PIhuHEzKR+5BfOIJ4O67zedu\nAHIamqLP3XlGlIeuQBwdNR5UCpKtVPgQs1sP6H4Id4iZPIg+wb5tW35oGEoTeRzXrDFlRu2Pyo0L\nRAodFeY55dNTuAeR15+wOYhEWHDyzs6gB/GUU8I9TSRsR0ZMnvCVzQTl72GHmbL+2MeC7ZzmIHIG\nB00QbIqdx6cMhcWb9c1B5GngZcrLjofBIvKfNyt3/sdXKPvmIPLfkkPBLYM99rB2iM5VSCBSO+PP\ny/32s/V59mzbAQGiCcQwu7Rli51+FCYQ6TjuYOH5TmVO3y9ebMp4YCC/Y0xRMF7yEvs7Pi+30BzE\nbNbaf5f3v3/lzoDytCUkQdfmddVnB+JQrkB8AcBTAD6ilHpUKXWdUuospdTuxX6YZKiHyRskVdQw\ngUiVgEdQj+JBpPhxHR1myNYnEClwaxyBOHducQ/ipk1mFaMPnwfRXfXKDSQZQ1oQ8lfmYyavIJ8L\n973v2e/Jg9jZGTRcfEECQd/Td8cf3xVIK5+vV2wnF/5g8nkQqfxvvTW4WwAQfRVz2LUpsCu/Lk14\n5qt/aVtGMlo8Df/zP8DXvx6+SMWdA0rexaVLrVAK8yD6hvpp/3D3vtz5VtyD6L//LgD5ApHqFT3A\nBgdtWA7ArgJ2Q7LQexcqx7AhZsqDTAb4z/80n/kWqfBJ9iQQDz3Urqyke6R6QF66ME8BpZceKDyP\nPvhBc998moBviJnzq1/ZeyN8Q8y8k8cZGckfJievGQnE0dEu3HOPbX8k8Nrbg6spBwbCPYhcINLx\nJIQJXo99hAnEtrbgPfOA3BwuELmwaWsz03uWLzfvqZ294hXm9b/+y+9B5AwPA+94h33Pgz6H1QXf\nKmZixgxzzd//3nSKfAKR51P+UGfXzv9cD6I7B9HnQXQ9otRh4ce5+fjRj+ZPV3CnZHGByPNo5kxr\ni0gg8liD7v26HD21nJbnNd0D2UQe5xgoLBD32cekcXAwf4h52zZzz3vuae+HT1kqNAcRMPGUfbzj\nHV3o77edbH4eyuMwh0cplCsQ36y1/vHU9nqHA7gYwFEA1imlHiry28TiehBHRqwXL2wOIlUCHlsv\nigeRNmbfZZdwgUiN6LDDzCvfJ5IMBReI9JCj+VdhHkTXAFDj5EKAX4c+owrKDSTdFwlEmqDP00u/\n19oIab6IguYG8bz1GU3Xg5jJ+AUi9yC6ccyIMA8i9ejHx015nnqq8Yb6FqkUW8VcaJXjyEh+jKzO\nTrsvMAAsW2ZeP/GJ4H3Td+50iEICkTZ352Khrc0/BzFMIPrmW7r5GlUg8iFmHvyYHmDXXmsDzAK2\no0QdDqrP7r6pdD4eq43gXkOq0+3t9qHgG2L2eRA5bseL5vaFzeMkoUtzeN082rLFtrGwIWaOb+9w\nVyDSELMvTe5ezxMTwU6FqR9dWLHC70EcGwtOFQibg8gFItnGffcNtkPuvS+0M5GbB7SogX5PIxku\nNFWEPIiUH62tRhDQealNLFhg5/ZxgejzIA4NBbc35OInrC4U8yACJljzUUfZc/B5bLzM871JXe4H\nkecgck8gMWNGfvB17kGkaTDuiBHNYyWoAzVrVrCOdHYGQ5MND4d7EH3ThuiYQh7EyclgufH7of+p\nXS5ZYkNuuQKRntN77mmHrPfZx56rkAfRhYvAM87owo4dpowobyn/fEPM5VLuIpUNSqk5Sqm3KKW+\nAxPA7MMwu6v8pgLpi41Sahel1DeUUrcqpZ5USv3GDcWjlFo0teL6d0qph5VS74tzDXpoUoN8wxvs\nsHExDyIfVojiQfzxj423bcmS4gLxiCPMK39ohnkQqcH7VjHTuV2hS14BmkfImZy090aGoJBA5HOd\nqILzc27bZucY8kn5nEICka9i5nnq8yCGeR0KDTF3dJg8I6E7Olo4zA39ufB5gIODwWO2bw8+xNrb\nrQChurd9uxkue/nLg9fleeCuYnYn4fPFA7xuF/Ighq3Up/TzPKd8pPpA0xqA8AcjpYtPU+BDzDt2\n+IdP2tvzPdI+MUtzu4D88C+uB7GjIygQW1vtEDxgy8idg0i4HsTHHze7LfmGSZ9+2i5iofJzhdTm\nzUEPom+ImRNFIBYaYna3y6Sy5zt6EK4HkYt6Sl8hDyLdM3ko998/WP+42PaVf9gcRNeDSNtFuulw\nh5jperwtAcFr08IyLnxpkQpneDhfIJLtC+soUj31jZbwfHnuuaBA9M2TLkQhD6JvDqKv/fs8iLRI\ncHzc7tXsOgRcgUg2lbyEBBeICxbY3cAo3fycvmcDF4GE60EEgjbH50GkGJ8HHWQXKblDzPSc3n13\n8wxftcp0dohiHkQO/54WqZBA/OEPrceTyj9sTn0plLtI5X4ALwL4MYClAC4HsL/W+mCt9bmFfjuN\n3AKgU2v9FpgV1usB3K6UWgQASqk2AHcCWK21PgrA6QAuU0qdEfUCXFQBduEIUFwg8orhq8Suodhz\nTzt0vNde4QJRqeBuAkSYQKSKyLfacz0drkCkhuMTiPy6dFyYQORhWgBrIHje9Pba31MjdgWirzG5\nHkQ3zE1fnw1PQXlz1lnm1dcjJtwhZop4T8ZscDDcgxjmmQFsvhx6qBmC4GXH537R/boeRHe/TS5q\nuUj1LVJxPYj0cCQPYtwhZr43rG+Ima9qnzHDv8sNxxWIrgfRtzownQ56EH3HUPp8w3pf+AJw773m\nf/Imuh5EnhYgvgcRMJPb/+//8q9/5JHABRcEj3frzqZN4R5E8gJzqJ3wdB1+uD/MTaHyoLZE+UvD\nrfyBtGOHsQ9UZ7ioB4IC0b0WX6RC8zQXLfIPMbthpYiwzp7rQeReNl6XeYBn7kGkdPG5xQSJYb5w\nyjfE7H72s5+Z5wXt/uKD0uyzdb5oD3TvcQTiu96VPwfRXaTihrnxPeOKeRDp3l2HgCsQh4aMLfGt\nYqZ7pnxzBSK993mXfQKRyp4v5uD/+wQifc8Fos+DuOuu5vcLFpgdZnidjONB5NEcuEBsa7OOFt65\nqxsPIoBVMOFtbgJwBYCrtNZrCv9k2jkIQD8AaK0nYUTrHAC0pOGdU8d8beqYdQCuBXBR1AvwIWY+\niRYwlcHXeOgzLoJ4A3fn+PBrEbvvHtyjk9i61VRUpYAbbzQToYkoApEaIg0XUQPiK4aBoEAcHQWu\nuSZ4DJ9nCATjFfLeDU3+JrZtCw7nAXZ7QSBcIEYZYqYHATXcvj5zXlqkAJiQHJdcku/h40aGjqVX\nVyAWC5QdJhDp81zOpJ0bS/Ig0rAWF4jcgxgWF5I/zMbGbAiIsCFmCkhNdbvQIpUwD2KhIeYznC6Y\nGyrKhQ8x0/0DViD6jOmBBwY9iHzCOYcPMXMPIve++zyIJLIKCURaJEO4HsRCUAeQH+/m0Xe+ExQs\nrggIG2IutIq2kAeRoLAa1MZIILoexDBRT2mIMgfx1a82rzNm+BeplOpB9HnZqC6TrWhpyW9nPAwM\nfwVs+yP75w4xU1p4xw4wmwcAJs987YC8nMWGmAnfEHNYwGxijz2MFyrOHMTWVv80KteD6K5ipvyg\nDRroWdfbGyxjEogzZgTriOtB5AJRKRNWJpez1waC+eYKxJYWW194J6ejw+aHbxXzq19tOnGZTPgc\nRHexC52X4OXNpxpE8SAODJjr8mP59oZ1IxC11h/WWi+B2ZP5WAC/Ukpdq5R6q1LKEx6yKhwA4DPs\nfTsADSNkAeBEAH/XWvN+ywMADlBKeTbJy4cvUuHzCgBT0XxL7X0eRN4oaC9LXnHIm0PwB6rrQaTK\nf9ppwfAvbpgbSr/rQaTwL3yYsNgQ8wc/aLYvIy65xNw/XdPXIEgg8vzR2jzUR0bsfI1Nm6xBoVWo\nUQSiG+ampycLwAzdXX21FYg8b2hokM5J+1v6BCLle0eHOddTT9ljwrba4wt4XNzPh4fNwqCWFutB\n5FtruUPMg4PhApEPh9G8sfFxO0TirmKmh67rQfz4x/Pn5fgEIt8b1jfE/KUvBTsUrkC0hjC7871P\nbMybZx4OPmPK5wCPjNjhlyVLgHPOscf5hphdIeybg+gGYp4zxxp4Xo84Pg9iFArNXeU7Bm3dGqwD\nvN3xB4krEN3OqutBPPlkE14LMGU4f37Qg0jzo809mzLbvj1YVygtNHdzYMBegz8Y6T6pTX/1q8Hd\ngIhiHkRXIC5YYMKvkFCh9ssXj3GvIwnEBQtM+vgcRP7K7TIXv4C5DvcW0nDg0JDJn29+0yxu4dM+\nfGVMq1SjDDEDNkYuF7++1dHpNHmpszvrK/cg0hzEXM4Mj/qGmH0CMcyDuH27GQKn/Ni40dh57kHk\nbZkWpLW0FPYg3nGHEUaAud/PfCbfK+/zBlLezJoVnHJEtLf7BSLVl113NRsadHaGDzGPjeXbJ/6e\ntz3+DA17ptF5b7ghu7Od8PMde6yN90pl6msfcSl3iPlIANBaP6y1vhDAOQD6AFwPYEuh304XWut+\nrfXYVPoWwiycuU5rPRV2Fsthhp056wEoGM9iUdwhZg5VNNdb4K54BIIFeP/95pVXHLeC8bAG/Py0\nQ4MPagx83hevXHQv1FBmzQoKRD7EyGOTDQwEPXMAcOedwej+vgbhehCPPNLeAxeIGzdag3Lu1GSF\nUjyIN95oHlzveY/Ziq+vz84NIuNJnh8guCk9Lx86lufn//1fMIZd2Py/KEPMnNmzzcN42zZjeLhA\nnD3b3CMXG1E8iBMTdtiOYrqRUaM66Q4xk5E78cRgLMFSPYjkneDn4fli7yOL2283HQOfQFy82Hjp\nfDu8zJtn99EeHbUC8cADgW99yx7LhxupbN2YYTwPwgTi8uXWi8zrESeOB9G9Pv89h4vSNWvMkDXB\nH+bz5tl26E6h4IKRVsTy8jj+eDvcPXOmDRXT12euu//+5jtTz0w7W7cuGJCZ0jJjhrn+6afba1x0\nkbV7dJ/cM0r1gbdDbv98HkR3iPm97zWruH1DzO5KX6r3LS12Oo+7kKmQB9FNA803nDXL5N/wsN0R\niS/A4KKZQ86GqB5E2laRhC7gF4hK0f3kC0TuQTz5ZDP9xhfmJsyD6BOIV15pxCsXiLvtZvN969Zg\nyDJaaNXSEnwe0rAzYH4/MQF89rPmPY0I8Ck6gG3Tb35zsCMMmDLxCcQwDyK1F17eJBDd+KC++snz\nkM9ffvhh/zEErx+33GIFolsnaPSpbgQigGuUUp9SSt2mlOoF8EcAbwXwEwAfKTt1ZaCUug3AXwBM\nAmCPBswG4E4Pp/fOrBE/ra35MagIEmquIHD3IwWC8ZGocGkLKyB/mMQViNRYeIw4lyiLVPgDn3sQ\n+/rMPAta/EINo7PTNkRfHvChDvczLhD/4z/snrgbNpiHxfz5pmKPjuYb3lIWqXznO90AgnP23LlB\nra223PiQKvdcuHHFis0JKtWDCJi07LKLyWPuQWxrM8bbnbMTFi2fP8zGx+3wJYVbcIdFaIi5pQW4\n7z4Tx8+dewUUDnPj83qFbStGHsSxMbuy19CN884LphGweb50qakfJHiJ97/flO0vfpHfqXHrCvcg\n0muYQGxttd9RnDdKC3nRgOgexCixyYrFz3SHPlMp+z8fYn7HO/x73AL+MDfcblHnkc7Z0WG2onzz\nm00+r1hhvjPTXkw7e/ZZUz78HDydQ0PBCAarVtly5ItUOLz+RF2k4q42bmsztoF2S/KFn6JA/zNm\nmPmyGzfm57PPg+jWGxLv5KmfPdukhzyI8+fbrd0ozYU8iGFiOEwAcPHr81rT/uxA906755uDyPff\njupB9C1SIciej44aR8DWrSY2YW+v8ajSM4ULRHeRihusmigmEN/xDpvmUj2I1KH2dXLHx/Ofz4UE\n4n33mU7ujh3FYlWaekP5cOGF3Tvn6rrHksZw21w5lCsQUwCmNDy+AOAwrfUirfW7tdY/LPPcUEr1\nKqW2hvz1KqW2hv1Wa32K1noPmPmFDymlpnY2xRYA7vA3mfXNiAC5/H1eIWpwbgBLX+gYqoQ0ZDs4\naHpbhM+DyHso9P3wsN+wAsXnIM6caY0npZ97EOfODfa46JU8KT4D5BNR7iIVrW1vVSkzXH3XXcYI\n8KFsTikexAMOSAW+9w0xh3kQ3fAaK1bYYRxuMOk+Cw0xx/EgzpoV9CCSMWxvN2l3h+aKDTFzD+K8\neTa2HBk8t9dLw9u//rXf2IR5EPkilUKBsnn6xsaA885zd6pIYWQEOOQQ4Mwz7aeU5zStg+9ffN99\nwLe/nS/+KW/c9uFbpOLb95eMsVLmnk4/PZgWLhB98wHpWnQ+/ttChC34caH7SqWCK/fpdxQHEyi8\nYMG3SIXbjNbWYHueO9cMwz72mBkyNY8Cs5MQX63JPYjXXGP+v+8++/1HPmI7LHyRCqeURSpux4bm\n5d12m/3eXQSktRWecTyILS3BERwKt0SjIeRBHBy0IxizZtlnQRQPou9ewwQACcRzzwV6euzn5NG0\n+6unvEPMtOsND3rvzkEMW8Xs8yASbW3WzlKn94gjjK0hxwAQbQ5imECkRYhUblQuu+ySLxDDPIhh\nApHyg9tb0gEUhot3Olybw/NicNBMBXM7bT6ByB0Me+yR2tmRctuKu1VtPXgQHwaw65QYu6LSW+xp\nrRdorXcN+Vugtd41wjmuBvA3AP9v6qO1ABY7hy2Gmae4tniqluPii1P4+c/TuOGGNAD6OxRAJmCc\nDTkcckgaL75ohmC4QMzlsgDSaGnJ7Rx+sGTQ15cJXNnEn8ohnU6juzuLlha7irG1Fchms0in08jR\nTF1YEfS2t2XwyCPmfFwg7tiRw/XXp/HMMyZ93At0//1ZPPpoGsPD5nxUIWfOBP7+9wyAjMew5XD/\n/WkAWY9AzOLb305jaCi30+jNmGEafi5nztfebntopnHnpvI3mycQ77wzO/WdvV8yAm9/ewaZTCbv\nYbxmTQ4PPJBGNpv1zEHMYvv2NDZtMuebMcN4OE44AfjFLzK4557MziFle285TE6a9OUPMWdx331p\nTE7mPPkUnn8nnJDG1q1ZjI4Gh5gfeSSLu+5K47nncoFfzJkDZDLmfjktLUAul8Ptt6fxl79ksWmT\nDb48Ywbw1FMm/7ZtM+fjHkRKHwkue285XHNNGsPD2bwH1Pr1WTz2mKl/rgfRl762NmD9+hy++12T\nf5ynnwZOOimLd7/bli+VpZlXl8E119jzve515nyDg7a+UN7QtbJZW1/4IpUPfABYsiSDF18Mpm9y\nEujry+HKK0194QbZpCWLK6+06WtpMR53Q2bqz/Ug5jA8nH+/Bps+vhLV/N6eD7DTLuh+czlbHpRP\nV12VxUtfmsazz5r0BQWiOd+//ZvZ45oWqTz/vM0/Pm9ZKWDTJps+qheHHUbi3pzP9SCOjJjz/fWv\nWbznPSYkk/UgBtsvH2Lm9YU/6HbsMPbvjjvy69+MGVkMDaWhVC5PyH3xi8H8I29PLpfDmWea+52c\ntJ2kPfcEVq/O4oQTTPrc833rW8H6bEVDDrfcYs7HBWJnJ3DHHVloncbmzTnMnGm9XQMDwEc/Gkwf\nYGzS5s05fP/7aTz3XH59+clP8u0fYMr/uusyuOyyDM4/33z2s58Bb3+7Sd/q1Wk8/LC19wAJInO/\nZA+oIzoyAtx5p73foAfR1hd3kUpvbxa33mrTx3dxevhhe7/DwzwIdg633prGtm3ZPA/iPfdksXGj\nOZ87KvG972Xwj39ksH17cG7z5KRJ3y9/mUV/v/USA0B/fxYPPWTOxzuHZgGiSV++QMzh2GPTU7Yk\nKBC1NufL5XJ5HsRMJoOrrgqW76ZNwOrVQXsVFH2mfDdssPZ0bMxc6ze/yaCnJxM49rOfTQNIYenS\nDgALMTycxgpy85dIuYtUXqO1HldKLVZKnaSUOl0ptU/xX04PSqm5SqlvedIwDwDJrxsAHKiUYhGp\ncCSAx7TWTxe/yt9x3nk5nHbaKqxcuQpmIfcqAI+js7Nnp0G1PZ8UHnpoFRYsMEFJ+RzE/ffvArAK\nu+1mPCZB93gPFi3q4R9MVbgUVq1ahRNO6MoTiF1dXVi1ahVSKes1IxF02209OPpocz4uEPfdN4UP\nfGAVOjtN+rgHMZXqwkknrUJbmzkfF4idnT0AevJ6QLNmpfCa16wC0OURiF34whdWYWwsFegVd3QA\nM2ea8/F5asaYpKbytytPIJ52WtfUd/Z+KX9vvrkHPT09eQJxYCCFf/7nVejq6vJ4ELuw996rsPfe\n5nxKmfAEe+4JHHOMSR8ZTXveFA4+2KQv34PYhZNPNunL32PbnC9fIKbwxz+uwkte0oXJyeAQ87HH\nduEDH1iFX/866BWdMwfo6TH3y2ltBVKpFN761lU48MAubNxoQ820tAC7727yb+ZMcz7uQaT0USBu\na+xS+OAHzf26Ht5DD+1COr0K55+fwkMsTP6MGf70KQVccEEKSpnzcebPBy6+uAv33GPLl9engw/u\nwX77Bc9nPrf1BbB1idoH1Rc+xLzXXsBzz/XggAOC5zPTOFL4939fNfVbiyn/LnzxizZ9ra1mO8zH\nH7f5BwS9XkAKu+ySf78Gm758D6I9HwBceinlk7nf44/vyhtiJntw0EEmfcG2as532mnGe0+CacEC\nm3983rJS1l4BqUDZG5tnzvePf5g8IHbf3Zzv8MPN/R5zjP9+Z840nje6Hq8vXAy0taXw8pevwqxZ\nXXkekrlzzflaWlJ5gu7GG4P5R3MuU6kUrr3W3C+JBxKIIyNduPVWkz53kcq55wbrsxWIKfT3m/Mt\nWGA+mT3b2JdXvMKkb599Ujun2gBGIF52WTB9gLF/c+ak8O53r5rK+yBnn23ON2NG0B60twNnnhk8\n37HHkr019uq448z5ggKxC/feu2qqDVlGRoAzzrD329LCHR22vlDoKmL33btw1lm2fWzfbgXi2Wfb\n9NEQtvltCkcfvQr77tuVJxBPOqkLS5aY87kexLPP7sFuu/XkCURj21bh7LONPeWxZvfdtwuLbEcb\nQgAAIABJREFUF6+CUqmAmDP13qSPewHNs8U8f8ke0KieCQTehSOOMM9fVyD+//bOPEyPqsr/39Od\nBcwiCUsIkBCwE7BNWFSigsFBQGGgmx1ZxkEFB8ZWBBkRUdEBRFwGFe0RBDcQZBlA0zCoMIqsmh8I\niMrWkoBssoV9CUnu74/7ntSt+95b21tVb1X1+TzP+3S/9VbdulWn6ta3zjn33pGRERx3nD5e87rV\nz5qgPQh7ELV9Z84Mnh/cmfR97xvBwQePhNY97ri/AhjF44+/BuAxTJ36V1zD831mpNNOKj1EdA6A\npdDWvhTAKBF9l8iXeVQo60HnPq4Z+JqITgKwLgCeVfhKaI/i8a3fZwH4IICvIiGc/+cKG7pmiPCN\nhm8mx5uzsTBROYic88BhLftt+pBD9F8zBGyOzZckxMxvdubQLryNPRgxoB/GjzziDqUFN2wQyuIr\nxHTpv/56eJotkyQhZvtYuQ58DI8/7u7FbOYg2iFmM2TBNrKHHwLcnVS4jr4poHy5R2YI2OykYodQ\neX0Xdg7i6Ggw88qKFcGAzObQIXYeEXuDzGXmdFd2PVasAC6/XPdYZnwtAe/Xlc/4znfqfZqNqWnv\nddcNDwnD8HRajOlBNDFDzK6wIRAOMdvwdeXKO+VzbO6LywOShX5MgWi3MywOgfDIBPY1b6/jugb5\nN1cnFduDaJbLQ9zweszq1cH9YP7Gx8zD19iYg43bmOdrxQrgggv0fLW2vVi0mtcw/zXH4OTl9vl9\n6SU9KUFvr7bhCy8E0x7a5dn1dHUS5PaZPYgsqswxa3m/cb2YXdeMK1caCIfPzfNvtme83M5BtDuS\nAe6ZVFzY9Vi1KnxtmCMPmNeIPd4q5yCag9Fz+Xz+/+mfgGOPDX4zQ8ymQLTbKnMM3je8Qa9vPn+A\n8PzfZk46X7vmuqYH0bxno3IQ+VwSBfckL3MNz2SGmDln29VJpYoh5i8DWATgaADvgR7q5lgAuwD4\nQodlp6Y1BuOeAN5HRDcS0S0AtgGwg1LqttY6KwHsBmArIloCLWxPUEpdnHQ/nKdi5zCZHUfMhpbH\noLPzC+IEYlwvZvYgvvZa+017/vntw+34chAnTAgEnykQuWGwGxuzt6rpGZs5U3t+7MFl+Rxw+YC+\nUU0PojnQKT/UzUZ0o43ajzFKIHJ5Bx/c7tbnB4krB9FsEMy/UQKR32Z9OYhAtEA0bcS5JT09wQPF\nzkG08TXY5kNt1Srt2VqwoH09Vw4iww8LlxByTWcW7myiiROI7QysSfB37RfQAtHupALovDieVYa/\nA+3nyAwxs93MqbT23jvcScWGG3LXVFyTJgH/9V/Bcl8nlaOPDpc5Y0Ywt685ZJD5kNxooyC8bJbF\nw4KYdWM4lYOvQXP+avsasTupmB5E02to1j1ISdCY47/ZDytzPloXcTmIZu6b/QDm9sJ8seB17GuQ\nBTHQfh1yqkBvr86xBKKHuXF9ZyZMCOcg8r6TCEQeazUuB9H+rbc3aJe5LSUKC0p9HANtL5d2PiXg\nnovZhWuYKJ5hDNACkc+5KRD5OWPnINoeRHvfb35z8D/fz7YoZbtz/c0RNHjqVtdwNGYOIv9/2GHt\n4xT7chBdAtF2HplOAHOsW7suSgXbfOtbA7GdVHzXaBY6FYh7AFiolPqeUurG1mcYwDugezOXjlLq\nV0qpHZRS71ZKvUspta9S6g5rnUdaeZMLlVLbKKXOSbMPnwfRvDhdHkTboOabTHsOot+DeP/9ulcW\n18PVSYXfoj/zGX1hm5i9mFkg8oVqij++cXkIAlMgMuYNww0Lb+/qfcjrmDOPmMMKrFjR/nb7sY9p\nz6RrwGYX9tuyCYcgAPc4iK5OKqYHkXsQm7axe0ya/9sC8TvfCYfZeIByxnyj5weK6UF09Vj2NQTm\nQ+211/RQNfPnt6/n6sXMbLdd+z5Mu9n14AR9E9+bbNSgzDwUkUt0A/oBYw/kzvCYokAgrqN6Mdve\noWOP1eWzRy2tB9GuN3tIbUFqRa1x2mlBjqjpjbCHozExO2H4hDugj4Hv8cMPb9/e10nF9CDytfe1\nrwVCFmi3o/nwtx9W5m8uXOfaPGbTa2yfC3NYHJdX2Bx+x+VBNMtday09dNAdd4TL8Xmb4wRiGg/i\nuuvqIWamT4/uxewTiD09wbOEXyiJwl5Cuy13/caYbTIQ7UG0p638xCeCZTNmBOc8i0C0x1k0z6H5\nwmfW9T3v0X9dApGfu/Zz2dzH+PG6o8/JJ4c9r+a6LEwnTABuvVXf11EeRL7eXB5Ec9/sMTU9iCwW\n7U5jQHB9+a7RLHQqEF9WSrU100qp59A+lExj8PViNsPItkBUyi9oJk9O50HkwZlXrPB7EJl584Le\ng9zYbbJJcDOyQAQC75UZYl5rLd1L8YUX3ALRJW7M8/L+94eXsRfi1VfdIeYVK4JGbcoULWrOOCM4\nfhPf+TTPxZVXjoR615nHYQ6QnDTEzALRNXyDK8RsDkUE6IezGRrhkfEZrofpQTQFoktUJfEgPvaY\ntpUd/gT8HsQvfCHodJFUIDLmMBjpPYgjawSiT3T5Zkix1+NrKaoXs92gsjeOBVMnApHDWOZc3K5Z\nHuw6mh5Ec5xTWwyYYWVfiJnXY4Ho8gbxg8i0idlTsj03OEBvM7Km3ubvtogx5yJ2EedBNHvwpwkx\nA8Cf/xz8b3oQ7UiQmSrAHWriPIi+e5DHLjUFYk9PuA21BeKGG+re1jy1YVyI2fXSwOeJbWYKxKA9\nHHEOc+N6mbJ7J7uw62Ge17vv1mkn/MLGEQIg8FByHV5+2T1Q9lvfGi0Q7UgXgDWD85uz2ZgCEWh/\nzhIFLxPjx+txYL/giYfaHkQAuOee+GFumHD+ZfszhEU3n4ePfGRkzUurbSd7kogqhJifJaJTiGhN\nii4RTSWiLwNwZBY1gz32cIeYAXe+T9YQs8+DyKE1FqpRw9yYnHyyFluzZwd1NwUiv8XZIebe3mDu\nR96GcQlEe/DsU08N5yACWjCZQsMMWX/jG/qtrb9fCxTXwxjwC0TX270r1G4uixooO0og7rNPkPfm\n8nZxWVdeqY+Fc2sYn0Ak0j2oJ0wIRN348YHX7Ljj9OwgruNlzIcaX1suD6QvB9G8psw68//29ewL\nH+blQTSJEogmXMcoD6IdjrQFYtoQs1nm9OnBTEH20Cx2nexe0mZag52Uz7g8iC6BOH58eEBou84u\nQWy+WJkeRDssadrRtkvU8DAukrRjTE9PMOwQEC8QbZHj8yDyNlOmBPdNUg/iMceEl7MHcdNNgxmh\n4jyI3C697W16SKAXX4wPMXPZ/J09+aYH0WzPojyItg1ssZMmB5HhdvySS/QzYeONg994IG7e3h7m\nZp119DmZPTtcD/McshcPCN9H/GLDXnU7xAy4hdvVV+uXed8EFIxLIPLwSFHD3AC6Hjx3uksgcqqR\nKRC5k4rLg8gCsadHR4pOPBEd06lA/BSAjwJ4gojuJaL7oae0+zcAR3VauSqydCmwcGF8JxWzt7Iv\nxMwNAbu67UE+XR5EIJigOyrE7GKffQLvlUsg8k1pC0S7Pr4QMy+3hXNPT3gmFaBdIJpTEW66qR4O\nw25wkgpEezv2skZtZ+YgJumkwudlYMA9mLQtEC+5RA/kbDbUQHuI2RwF/7bbgB12CHsQ/+VfgAMP\n1GE+V6NiYj7MkghE24MYFcIHwtecUn7vkM+D6HrBYuIEohmiMmfjsDG94yZmSMoWxPyiFNVJxTU+\npPk/HzMLO55vvLc37Dk3MfdjexB9AtHMsYoKMZv3gKvOZicVO8TG+/F5ELffPnjg2yFkXxjUR1Re\nsU1vrx6+5aKL9HdzzEVb9Ntlx+UgAmGBaJfnE4i77KLrw7P2jB+vz9fOO+vwI5dlnkN7jmbm4IO1\nN+3aa933uOlBNPPxTIFovnC6Oqm4xkG0xzO0xU4WDyIzd66OKtkvMSySOLXGDDH77rEkIWazfKA9\nxAy4BeKb3gSce278desSiP/4R7QHkc85Ty9rhtddHkS7k4ovB/GllwL73XUX8PGPR9c9CR0JRKXU\nX6GnrjsNwP0A7mz9v0WyIWPqS29vdK9AM28ozoPIIeaXXtKDMT/0kPsNgcvmjgD8wEkqEE2iPIhX\nXaXD2K+9Fn7YvP3twTaMeQ7MKdtMzFCBKRDNB6Wr04tNUoHoSmw268nnyvQgcgNldlIx36rtY+Jz\nZvYeNRsTe9njj7s9jbfcAtx+e3u5vO8FCwLv0IQJuiPQxRcHb5Z8fC5M4cMPOteg2r4cRN815Qtt\n+RpT33K7pyEQvPW2j78YhgXkllvaQ6eE8QlEM8Ts8yBywxzlQfSFwE0PIqDPf5wH0SzLzEGM8iCa\ng9JHhZhtD6L9csEeNVsQJ/EgjhsHfOlL+n+2i7296xow8xjNeiaFy+R9mgPW5+VBXL48fL7iOqn0\n9urB3Xnebw4x8ww8QLsHceVKPbevzRveoMOq//hHtAfR9SLNAtFMo2kPMbf3Yna9HPKIGfZ+bex6\nRM097hKIXIaZg7hihT8POUog7rBD+Nllhph5MoooD2JSODq1YkWwv6ee0veaTyB+5jPAT36i6/vC\nC3q7pB7EqF7ML72UXgfEkVkgEtEkIpqhlHpeKXVqq9PH/kqpk5VS3hlOmsK4ce3Dc3zzm4HRLjb6\nRMd5ECdN0or/u9/V3qJZs/SF4svxYoGY1oNoYrrZbQ/i8uU6d/Ef/wjXYY89grc7xhR0990X1MuE\nQwV8rHzsrly2qLBj0rwfUyCOjo62CURXiJlIn4u4EDPDdTZv1CgPIhBMWWg3pOZsIfYDlR9OX/qS\n9lybxAlE82H2yiu6QXWt6/MgphWISR8cjClMmb32AoDRNfP8+sSl65xHrWejVPs0aq4Qc1wnlbhz\nxF7V3/2ufXo4u1zzPLEH8emngT/9KV4gRvVi5n1xDqIZRnSFmF0eRDMH0TWs0lNPhQfTZ3wetze9\nyd1hKq0HEQgEopky4NqvLeDjchCnTGkfQsx3b/g8pcceq+e0tvdt9gi/557AuwiErwO+59PkIPb0\nBDmIZocIc319nkedIWb7+GyxE3XN251UfLh663IZplft9dezCcTrrgtH5PiYb745EIhRHsSkmCll\n5pBqTzzhF4g9PcBb3qL//+hHw3m1tpPB9iCefPLomuf99tsHnQiBigjEVo7hCIDnADxKRI8T0Qfi\ntmsa48aFh1z47Gd1/gkb6ByjX7Svk4opEBnzweMLMdsC0efliCLKg8j8/e/tDxseN5ExhddDD4WP\nizEbY/Ph4hKIV13lr3NSj5XJ4OCgN8Rs15OPzRVitt+Gzdy2JB5EIBDWUfU2c4bMdT//+fax3Mxe\n2C7sh6RvzmZfDmJcjqfdAPqOyycQXcyfD/T1Da5p+DoViGwn29ZAe8jV9MC5cvJMTA+i6/hsj8Ax\nx7TnkrnaA64nexB32kl7JDr1IPI9wGE824ZJQszmVJs23/nOoPOYXPfBk08Cf/yjO7+rE4HIEQxf\niNne1udBZBuYg6zb+/S9rNrX61FH6VxqczlROBT/+9+76wiEB7Z3HYNrnyyygKDdcndSGXSGmIH2\nNj5JiDmNB7G3V6c8MWZ6ABB4EE1Hgl0vs052JxXX8/P118N5eXl4ELkO9lBAjz3mF4irV4fXfekl\ndxvi6qQCDOLRR/Uxbr65zpVkXnwxvj1MSxYP4skAdoCeB+bzAH4D4Dwi2jHPilWd3t6wB9H0NvX2\n6vHX9thDL0uSg8iYuU1xHkTAH/KIw5eDaJfjy2di2IP4zW8C//d/+v9f/EKPw8iYN7g5IKrd2eED\nHwjn0tgkFSQmQ0NDa8LwTJRAND2IrhxExvQgumwQlXsVVW8et8/nHTBJE2IG/ALRNbamuZ2NXTe7\nFzcfg71+EtZaCzjmmGD8lzjvaFzZZqMMaAFudyRzhZjNHMS4EHNcfhgzOhrtQTSvR/Yg6llZ/IOh\n2x5EM0XChEPM9jVhh5hffz0YHH3WrHCIOUqU77rrkPOYXHZab71gTnCbtJ1UgEAgmsN8+IScua0v\nB5GvC9cYoL6836j73V7e0xMMZwREC6mo69xOhbHrAoSHHGvPQRxK5EG0vah5eBAB7VRhzBAzEH4W\nmcf+4x8Hzpc5c7SHdr/9/L2Yo8jTg2iX4xKIXC+XFuDjdjlXWCAeeCAADOGVV9zPnBdfrIAHEXqQ\n6R2VUp9USn1FKXUIgIMBfCLfqlUb24NoN/yvvKIVPuffReUgmg1lGg8ir2f+TYrpefB5EM36mLg8\niB/6EPDe9+r/583TnSkYO0TAotNMsLfLdWHfcEk8UywQ43IQAd1guAbKjhKI5mDCrlCIq45RooZD\nkrZIdZFUIObtQbQFldl7FNCJ6CZpPIg9PQhNaxfnQXR5Bk1sD+JTTwUeG9uDaHf44NBOnAcxqUC8\n995wLph9bHZO7KpVwXAg5nAlJmw7zlN13a9AkIriE4imB3HuXN1+zZsX9iDyuq40kN13HwqVy0QJ\nNdf1mOThbgtVFohmCD1OINoeRDM31xaIrrY1rUA07UYUFohRRAnEKA8iYwpEsz1jgejLQTSxQ8z2\nFJtMVC9mF+bzzedBtOs0e7aeGhLQx3DGGdr+ZqpTUoFoexCzeN/MayOrBxFwC0SlwiFmPfSOFoiu\nlzXupJInWQTiK0qpP5sLlFKXA9jYXEZEB3VSsapjexDtN6xXXw3y0+IEoquncJQH0ewhHZcv5sMM\nPdg5iCZxApFvzKj928LJbgyyCkRfY2yHrmyBmIcHkcswPYgmpufFpiwPop1Y73ogn3lm5zmIPNYl\nb2eHwpN6EM87r32Z79jMt3EXb32rDmHZth4/Ptyj0awf25gfTkmHuXHV0bx2nnhCe8bvvTe6Abc9\niK+9pvOTfvzjcDjOxPQgjhvn9vgDQQ6i7SHy5SDa6RA9PcH0euxhNPG9VEQJnCOPDPJyzXrGwXM9\n8zlmwcIvJmaIOc6jx/Mvz54N3HijXhblQWR8L6tJPYg+j7BNlNc2iUA08zJdnVRsDyL/Ne8rHm+X\n2XRTd11NLyUQLxBNW5v5eUDYWRHXfiQZpcIFXze+jmxJ8AlEV78A3g8Pqm3iE4imB9GchczllCjC\ng5iluNeJaAEA+9E3yVp+IoCLOqlclbEvSlfoaNy4QCC63MoukngQ7XqYf5Ny+ulBzzrez+TJ2T2I\nUfs3693T0y4QfWPVRZUD+D1T9nh848aFG6u0OYgcbnTVZfz44H+zUbW9UvY58GF7EJMIxDjb+zyI\na6+t376TjINoYjbczzwTnsEC0Odko410Q/bMM8k8iIcfDnzwg+3Lfdty3XwC8bbb9F9XXqwdYubj\n5Z7eb3xj2PPfqQdx/fWBzTbTnU3MB3UUa60VjKe23Xb+qRrNSECUB9EOMU+erL2pdoh55crwC5Z5\nL8ya5ffY+gRilGdt5kzgwgvDaSVJHu5HHAGcdFJQFxbhd9wBXHBB+Br2nWv+nY+5tzcQwLZAjPLe\nMXFDTtk5iEmxBba5rU9AxYWYe3r8w9y4BKI9ZIvrBYHLNa+PqNA50D7up7l/X4jZRVaBaLe1f/iD\n7jCUBp9ABDr3IPJ5Zw+i+VLhCjFHTZiRlSwexLcDuAPA7dZngbH8DgBvyamOlcQ2hKuDgikQozqp\nmJ7IJB5EVz3SXhgzZgSDuprjM9k3o2/aLsY1tpqN2bgRtTcGeXsQ7fCNLxfEF2JO0ovZHKLH5c2y\nb2BXw+5im23a9+0jzoNo18UWiKanDEg/DmJvr/Z42l6O3l49NeJRR4XXjyLpmJb2+nEPITsH0dz2\noIPC+7j7bv23ry+c6B83DmKSELMp0Hwiy+VB5H3F9QTnsHhUiNkUiPYMOT09ejD33/zG3ZbEiRrf\nS0VcjrRvfR9K6aHA+H9m/fXDxxJ3T7BdzI45LIxtgWjmLzNpPYh2iDkpnYaYXb2YzXxSO8TM2Neo\nebxRHkSTNB7EqBBzEoGYJcTM0RqOyG29dXhEiSSY58V+VvoEYpQH0WynuAc3exBNgejzLFchxPwg\ngI84Ph+2vj+aUx0rSZRhbA/iGWfot3XfXMyuXAyXBzEqlNnJm0OUQEwaYk4iEHkdX4g5zsOa1IOo\nh0rRDA8PJxaIUSFmW4iYD35XTqMtDO0QEwAceijwxS8Gyx99FPjnf/ZvZ5NUIPLvdljrLW/Rde/E\ng+jajx1eT/JANPc1PDwcu37SHETXer7j4gHo2Ssc5R2PCzHbAp8Fon3O1l8/yN3t7w+Hwk2B6rsO\n7F7MUSFmUyD29+u/dp7X449nE4hXXz28Zj8mcQ95e19JHu6+HGLzuowTFbYHcdy44P5g4cDfzWGz\nfJ7CtCFmQHvXP/Up/f9OOwE/+EH7dkleNLN0UtHlDntD3XZ7Z9rJNxpD2k4qrh7JpkBMGmLu7c0m\nEO3e71lweRB9M3+l9SDyWMH//d/Agw/y9Ri+z+x9VMGDOKyU+knM58fQIebG4kvGNn/jHMRbbtHf\nfTmIg4NBjpF5cRXpQTTpRCDyQy/qJrYFot3AJA0xR70pMy+8ABx/fPB9eHjY66WwHzCTJ4dzX6Jy\nEM0Hv0uE2GW4QkzTpgH/+q/Bcs6tMtfPUyCatrz7bu0xYoF4++26IUrjQfTZI0ocm3zC6NaWVSAm\n9SC6plq0OfLIcD5llAfRvE+jBJX5IsGdRMwH+hNP6N7/SgVjo3G57LmKEojmWI5xHkQzB5E7kZkz\n9zCu4417SF91lVsgxvU2t9fPQyAC8SFmXvfLXw485z09wJIlemw6IDiXUVOqMmkEonn/c3rGm98M\n7LZbe52jQsy+fbpyEG2BqI9teE0eXhoPIqDz3Y47LrysEw+i/TLp66TiImuIOW+ByG0Npzj5HBP2\nzDR/+5v7On31Vb18yRL9XXt7h0P7tbfrukBUSn0j4Xrnp69OfUjjQWR8HjIiPZiquU7ROYgmnXoQ\n4/btCrcBxfRinjw5vHzx4sXeG9XmS18CPv3pdCFm04NoihX7mH0h5rjQap4hZtOWW26pG0gWiDwk\nUxIPoq/htreLC5OfeWbwkDHPw+LFi6MPCO5z7sIlEH3HddZZep5YoF2g2aTtxcxhsCThdi6XvSJm\n2oONeV3G5SCavZi33VafE5e3I4sH8eSTF6/Zj30cdvkm5r7sgcR98DpRIibpS9OXvxweymi77dpf\nqFy9tjsJMbuErM/GSe6lKIHo68X8pjcB55yzuNUztr1c+76yj3fSpPgX9jQ5iIzZrhadg8gpBHl7\nEO1hvxgzjGye7803D/6PeunRL3Ph+yzKe5wHWTyIAqJzEJMKRHtYC/PvIYfokdJNXMaPe5gnwSUQ\neVo411ug7UFM2knC/muHmPPKQTTp6+tLHGLeckvdcCbpxWzmILrEiquji6veacO4Jmk7qbjEA+cg\n2p6oLHUzxRCQTOS6ZiTp6+vzb9AiqQcxKj80ClMg5hVi5nKTYF8jcSFmXs8XYrZzEG06FYizZ/c5\nt03jQUyam5fGg+jDztOLsrHrvu4kxOzyEPpsHBVidpVtrmtO12h3UiECjjgiuM/iBGKSayJNbiUQ\n3d6b7VBRApHLL0sgAjqFyBjFaw18jPY1bZ5TLRDd95mrPnkgAjEjSUPM5nr2hTswEPzPDTuLtZNO\nCuY+du3D3lcnbw6mQORydtwx/JuJ7UFM2hjbN7yZb2KX6yJpDqKNL8/Jl7/mEndJQswusRIlEJXy\n39B55iC6PIjmbytXhudFThpi9nkQfXZ2ETdlnY+kOYiuhjfJAySuk0qcB9EVYubvSa5bOyKRhwcx\nSiDGeViT5vT52sWkOYhJ8HkQXfeY77yZ5yFOIMZtb+7Hd359HsSkAjHq/NvHaLarq1Yle1FLG2J2\nkdQ7zrjuK3Pu6KJzEJm8BSJ3/HFdU1ddBWyxRfty7hwTdU2bXlXfMYoHsSIkDTGb2N+PPbZ9LMQ0\njZJZZidvDuaQB3xB7rijHlCYk9ld6xMB99+v8/6isAWF/dDgwYCL8CC6tuNzdcwxeugOmzxCzOuu\nq8NXnM+UNsQc94ADOstBZFggmh7EOM9k2hzEqGPgxjRto540xMy4xhqNImknld5e3cHAJsqD+JWv\nBLmONp/6lB7D0b5GfNe6ORdrkhCzrxzzAesqwxxI2oVPCKbtxZwEnwcxTYjZrKc9UwjjOg9FeRB9\nNjYF4sUXB/lovrLN72uvHRaIUe2l3Xs3i0Akin9hM4kTiEk9iM8+q2cp4jr42pIHH9QdAW3yEojs\n6OC83jRi7ZRTwlNtMua1Yjoj4p4beSECMSP2m53LgzhuXNjgZiNsUwWBOHt2OEz4jndErx/30GBs\nQWE/PHlYmrQXd1IPoi/EfNJJwTh5Jnb9XL2YzXV9IeYTT3SPpWaWXwUPohli7ukJ96R14ROIPmEY\ndQw893RWD2ISgXjhhboBtreNImknlXHjgLPPBpYvD//uykHk74ccEuQ62uy6qx7D0X7h9J3Dk0/W\nvWF5H1lDzGaIzhbQixdrcRKF72Ee95BP+2IAxIeYlUr+0gToF1zX9Rf1ItGJQPR5EF3tmfliceCB\nwTBYvrJNbIEY1V7ut1/0GIZJ7s+07Tev7zrPpmc+zpYLFwb/T57sv6Zmzw53BGR4yKcsRHkQs3jz\nfKNlAOFIgs8evvFSsyICMSNsfB5s0+UVGj8+bHDXeFpMkqFeihKIb3yj7sV6wAHBsqiGm39j8XPJ\nJdHlx4WYWSA+/3x0OXayeBKBODAwkLiTil1ulAfRPJaocKdLTOXtQUyag+hriIHweJZ8zcZ5EH1e\ndNf58+ESiANm7oWHpCFmADj44GA/Zr2iMM9DXIh5/PigHWB8Iea0OYjcuSAqVMrDssR5EKOEU5QH\ncWBAD3wexfHHD4TqzRThQcwjxGyu65uBIuo66aSTivm/GZrPK8TM6SI8n7ctEPm8Rd1nSTyIneYg\nMubc7VlCzAcfHPw/ZUq6l46lS4Frr02+vo0rcpjFg8jEeRBfe20gtC+bTryhLnJOaRx++gU+AAAg\nAElEQVQ78I37xjfqN/gkHkQWiAsXhgfHBpLlYhXVSQUI3kyTiI7Jk4HNNtPd+R99ND5kFxdiZoFo\ne2Fs+IF9zDH6gZX0jdWXg+gjSSeVww7T52r69GBObpc3y+VByTsHMUkSN+D3INplxXkm40LMaTyI\n/JJRdIg5LS4vj8kGGwDrrRcWnq7ts3ZSsXONklzrm2wS7UGMKsf0PERFMXz4vFRxHsQsoiIuxMxz\n2EZh2uFnPwP23TdbHZg8PIhZBSL/duutWiBccIH+zh7EpELLJK4Xswsi4Otf12lJp5+efF/Tpwf/\nm21P0hCzyfz5+tmUlDlzkq/rwjwvZu6n/VtS3vOe8HdbIDK+50beAlE8iBlhQ7Cw8uUgmo3Y/vvr\nsOYttwB/Ds1mnW78L58YzYM47xGgHyAPPBDciElzB+0bni/+ddfVf+MEItdpl13Cw9FEMTIyktmD\nyPT0tAvEiRP1uHlmmNglVuI8iHEPlCQCMenDMEogmuua87dGlZenB9FkZGTEvwHCZRclEF33s8mG\nGwJPPhkvEG0PYtKHXZbtvvEN4NRT3b/FCdROBeKZZ2qb2bZOInDS7jNJL+aknZeykpcH0ZWD6Po9\n6nh4u7e9TY8+wR5EX4iZ/0bdZ/b+koaY583TObaA/2XFxiUQ0+QgAsEx/fjHQd53Gbjs2okHcccd\n9Tm45hrg6qvbo00TJoys+d/FI4+k32cUIhAzsmCBfkjwgLOmIfnGsAXipEnAf/6n+4K33f8uXA/m\nvAUiC6E0OSdJPYhxoeb586PL6esDfvGLYLaRpI28r5OKD1foJGrQ17QhZt/DwlWHJCHmONIIRNOD\nmFa8+nJMkwjEqPSLKNIkxachTiDG4ctBzOpBzBq+Y4oWiFlzEBnfjB5R+8oSBvWt+/LLyfYd10kl\nbW/fuBzEJJ5y+9yaIeaVK/0h5iiSeBCjQsy33x5MXRkHDxBu7y+NQEz6IlIkeXgQmV120efF9iDy\nc8glvj/3ufDkA3kgIeaMbLEF8Nhj4YF1GXPYFtcYWlEkeVP0NTB5kMSDyPDxpA0xu47jueeSdXoZ\nHGzffxxpQ8wugRMlEPm4okLMvl7McXVI4kGMIyrE7PICxnkmfXXL0kmFQ8xJH9A2ZQjELA29fQ7K\n8CBGEZfwb+YgJunl7Svfl4MYZydO7E9CEg9iHPa6dspPHGk9iK51zXLiQsxpBCLnaq+9djgHsZNr\nKK3wdXWmcfHcc+E54l05iEn23durhXEnoqxTuL6deBB9ZQK6LTDFv40vetDR/vMvcmzhanh9HsQ0\nicZJ9sn7MP92ShqBaM4DG4UvB9E85qlT0zdgaXsx216ZpOWaAtF1rLx+lnEQ4+qQh0DM6kH04Wu4\n43ISXbAHMatALCMHMcuD1RdiTutBZPt06kGMe+Eo2oMYd03l4UFME2K27ZBUIGYd5sbE9YIfN8xN\nEscBExdizoLreZBHJ5WpU8PbZQ0xJ+3xXCS2BzEPfDmIee4jChGIHeK6MLmxswVi1A3Ek0ckefNi\n9/tmm+UzULZJGoEY1cvTJIkHMQtJGqTR0dE2YdiJQIx6eCZ9y0/zEMkjxJykk4qrXFc9N9igGA+i\nmVw9yoOaJaCMHMQsD75u5CBGERcC7VQgPvzwaGg/TJkeRNdLOs+3a2OfT+5olpS8PIhJO6lEXef2\nOTc9iGYnFXu9NPdZWg9iVrJ2UknjbSwK7uk/e7b+GzcX9X77AZ/9bPQ67QJR20wEYk1wecN8Ieao\nC336dH1zuMZpcu3z2WeBv/wlv17MTNKhU4DkHkSfMCwjX2RwcHDNsZjzXEeR1oPo2873WxLxl6cH\nkXEdt71s9Wpg4431//bD9Z57gDvvjM9BTNNJhcWI6UEcNPMIYigqxJyXIOO/neYg5lUfXzmmrbMI\nxKOOGnSWH5V+YZJGIMZ5EJXSA+D/7ndBvjIzebL+ZPUg2nVgOvUgxo2DGHX+7Bde3zA3dt3S3GdJ\nezF3SpZhboBqeBDf8hbgiSf0XyBeIP7P/wCnnRa9jh1iBrTN0njcO0EEYoe4LkhfiDmPG4j3OXmy\nvkjqHGIuQyAODQ2lTviP6sXsO9azzgp677nI6kHMQyCas6TY2MtWr9Y9IR95pH3suy220B2zfG/r\nvl7qcce76abAhz4UfB9yTVbqoVMP4vXXu5cnEbdR5O1B7DRMGGeLc88NBhzOIhAPO2zIWX4SD+K2\n2wInnJB8X74UDXvfO+7Yfr4efVR/Os1BdLURrjrEbWu2TVlCzD/9KXDRReFlfL9PnBgdYk5znyUJ\nMefZnmftpNJNgQjoWcH4GREnEJPQ7kEcMv4vHhGIHeK6IH3D3OQpEJk6CsROH75pMAXiQQcl28Zu\nkMx6+h6eRx4ZDNcTV2aaHMQ8QsxsJ9e16vIgAtEDI6cNMcfZedmy8PhfZQrERYvcyzsVZPY13mkO\nYt4eTZvp04NzkaWTykc+MuQsP0kO4h//COy9d/p9Ro2D6GPKFP3J6kH0PZi71Yv50EP1C5aJPSuS\nrxdz1H32+c8D228ffO+GBzGNV7BMp0McfP/YEztkod2D6L7PiqICp7PeuBolM/E4aYg5yz6B4ELx\n5dqkJWleIZBeIPqEYtGwPXbfPZmoihI4WR6edhlFexD/9KfwVG5RQxfZb7lJBJev4faFnIu0c1E5\niHl57KrSiznJ8fC5zLOTStIcxCzk2YuZw7JxfO5zwPe/n7xcF74cxKzD3NjwsdgvKWmu5VNOAW66\nKfguOYjJKdaDWC4yzE2HRHllyvAgHnYYMHcusPPO+ZSdxYOYdtiYMnMQzf0kzXOy37TzuEnNY01y\nHXSSg7hggf4wUSFm7kV80kl6Xt8kD6K8PYidUFQOYqdDg/iEUrfGQUzT6akbvZiz0IlA5HpNmqTP\ncdKZVKZOdQ/EnEcOol2WuTwPgZjlWu7p0fsuqhezTac5iN3wIP7lL8Bf/xp8Z4GYx8urCMSa4+qk\n4hOIRXgQN9sMqaYWiqOIELN9jlznrEi4wUwrEO3vPT35CMSyezFHeRDXWUeX88AD6QWiLwcpTSeV\nTil6mJtOQ8xMVTyISV446upBTCNGuZ7z5ukQd6dk7cUcJ2yyCER+IczjPpw4UY8wUJYH0SwryzA3\nZT1TTPr79YfJ04NYhIMpDY0OMRPReCK6iYh+aC3fmIgub/22hIg+nH0f7ctMgZh2oOwkFOlGLzIH\n0f5extve8PDwmiE80gpE19+suZ5pBWKevZjf/37g6KPDjZhNmgeR74GTZZgbF8PDw4nXrWqI2ScQ\n03oQ83rwpclpzSIQzz132Fl+0l7MWcjDgxi3zWWXAYsXx5eXpk1zeRDN8+ZKVyoixJzkPuNroewc\nxLQh5iqElpk8BWI7ydvGPGi0QARwFoCF5gIiGg/glwDuVUrtAGA/AP9FRAdk2YEdjgTCOYiudTtF\nBGJyhoeH18wSkVQgRtX3tNOAvfZKX49u9mJ+wxuAb3872vuZZDgNu26+5Z2GmNMIRHMe1zzJKweR\nyepBzOteSZODmCXP9gc/0Daz77EkHbKykmSqPR9Jz+u++wIDA/HlZfUgxq2fxQN72mnAPvvEh5iT\n3GdJhwYz99MJncykUhVYVItArDBEdDSAjQDcbP10CIAtAXwNAJRSfwdwHoBT8tp3mSHmvOGHRJJ9\nRPWONclLOMTxb//Wvmzx4sWZPYj2954eYNddgZ//PH3dsnoQyworZPEg2uQ13uXiJC4b6CT63/8+\nXdlJyduDmDUHsUyB2IkH8corF+PSS8PDFZn7q1oOYlEvqVlDsaZdOs1B3G034PLL/e0tn7ck91nU\nvML2qBB5nss6exC5LnmHmDXJ2sa8aKRAJKKdARwF4CAA9q21O4D7lFLLjWU3A5hLRJvnsX9TIH7v\ne2a98ii92JshahYNG74B4o4rLmctL84+u31ZX19frgIxK0X0Ys6TLB7EuBzErCKrj6cVimH77duH\n+MiLvDuppM1dtb0nZXZSyeJB7Ovrw/77t3uaqioQ87ins5aXxpZp7kubuBBzkvssKsTc368He2aK\nGuYmb4FYdJvK5yFPD2IwSkmytjEvGicQWyLvXAD7K6Wec6wyD8DD1rKHARC0ZzETrhDzuHF6Op2t\nt9bf87gwv/Y1PThqUaS5qJM2WrbYybtxjiNtiNknEDtpAKvuQUzzIPI1xr5hb/Kwc9kJ2p12UrGF\nEZ/fpPdXUR7EJCkLed6XZQrELD2muyEQTVwjJZh0EqL3efLTXNMsEJNsk8e5NK/BNGOAZvEeF8nx\nx8dPo5eGa67Jr6w0NEogEtFkAD8H8B9Kqb96VpsE4BVrGX+fmn6f7cvsh0GeD/tPfzoQnEWQ5k01\n7cPObmzKEojsQUzqxbHrlUd9XQIxqtEv24NYZCeVTq/7vffWOZR5cuSRwLRp/t+L6qTS6UtVVpIc\nz667drYPF9On61mfiii7Ew9iJ9tElZO3QGSyeBDjQsxJSONNzruTCr/QJ3nOpOk8WEab+tWvBlOW\ndkIRL21pqPQwN0S0HIDvciYASillpqnvCmAtAENENNRaZxsAWxDRhUqpQwA81VrHhGc2fDKPer/5\nzfrvpEmtipbsDeqELMMpxMEXty0Q8zwfB0R0MWKBmBRfw1pmiLlsEV2lTio2V1zR2fYuzjpLf3zk\nJRB5+7S5ZCy2X3klXF5WkhzPPvvk7+mbMAF44YV8y2SqJBDzbNNcZRQRYk5CXD7qttu27y8PenoC\ngZik/a5SiLkIuM5z54bnrS98v+XtKj1KqWlKqemezzRLHEIpdYVSap5S6r2tz04A7gDwy5Y4BIBl\nADaxdrUJtBBdFlenefPmoa+vD/39/ejv78fee/cD6Mexxy7AQKu72zvfqadumj4dGB0dxd139wMY\ndvYi6+/vx+joaNt+BgYG1pRnMjo6iv7+fmcPtDzKO+ooYP78ZOWNjiarHx/3Y4/p8p5/fjS0vJPj\nBfoBjOKSS9zHOzAwEGpgkpy/hx4KH6+u5wBefjmbPYBRbLBBsFw31AP43//1l3f77e3DhhR5vbAt\n+EEUVd5+++nr2eacc7Q9li9vP39p6sfrdfP+4PO+enW28o4+egDAwBoRs956+u+iRcnKmztXL9ti\nC/137711eVmP1xYJeZ+/GTNmlNpeAcNtAvF739PX34oVyct79dVi21OrRADh8tgeJ53kLw/oxwMP\npK/fhRcOhPah7/FR3HKLrp+9P1d5LBB9x7t69Shmz9b2cA2jk/b8KaWP9+yzh7F2y23z6qvx5eln\nUTJ7DA/r1K8qPn/t8u66Sz8/AoE4gAcecJWn993X14eJEydi5syZ6O/vx66duu6VUo3+APgtgB8a\n3/cG8DqAdYxl3wLwx5hy5gBQS5cuVSbPPqsUoNSDDyov226r17nrLv86dWT+fH1ccdx9t17vwAP1\n9yOP1N9vvbXzOmg/gv/3PffcU82enayeDNf3gAP0929/W3+fNi1bHa+/Xqmnnw6+v/KKLu/f/11/\nv+YapZYsCW9z4ol6nUsv9Zcbd+xpAZTaf//49e66S6974onh5StW6OX/+Z/6+w9/qL/fcEO6euy5\n557pNiiAa6/VdV9nnWzb8zn6zGeCZStWpCtj9WqlXn89+B9Qas6cbPU59VS9/e67Z9s+jqJtZl/r\ngFIzZrjXmzUreZk775xP/T7+8fh70XW/rlyp1De+EdgZUGqrrcLr/PrXSr30Uvo6sc35fCxbFj7m\nJDZ73/vij4vvlfPPT19HGz5Hq1frZyqg1HvfG7/du96Vb1tYFbbbTh/XnXfq7y6b7bmnUp/7nHv7\npUuXKmjn1xyVQT9VOsRcEFcCuAfA8QBOJKJZAD4I4GNZCnvjG5OHZero2o4iaX6KHWJmygi5j4yM\nYMMN022Tdy/mRYvC3+1ydtmlfZskOU2bbgo8+GC2OvnIY5ibOXOSre9jZGQk3QYF0GkOqCt3MG1P\nZiL3QMpZKDrNpRs2e9vbOi8jrzZ55sxs2/X2AscdF71OVidQXIg5ic2SDHlUxLVFFISY2YMYBadz\nNQ07B9FlsyJvvTEnEJVSK4loNwBnE9ESABMAnKCUuriofdYpBzENV1yRbJqqbndSOeKIdJ0cfJ1U\n8rJfXr2YlywBnn02nzoxnQ5z87e/oW3qxzpe93nlIOad05eVprVBjz5qDv2RnbzaoOOPB3beOZ+y\n8m5nOnnZ+cAH4gVIXh2pbNLkIJ53HnDjjfnuv0pIJ5WCUDoP0V72CIA9y65LUxpnZvZs/YmDL24e\ndLVsgXjqqfqTlCLGQTTJaxzEDTZAKLcxDzrxIALA5o6RROvoOe9UUBV1r3dan6a0QVk9djZ5XZvj\nxgHveEc+ZeVFHr2YDz1Uf9LsJy/4eZFEIM6cGd1Rse50qw2tYdNdX+r4oMyDboaYs+DrvZx3j8ck\n65R9zay7bvw6SXsM1lmU5DUwdd5k9UjW2RZpSXOOZsworh7dJo9ezGn2k7e3nMtNEmJuKnxOu3Xf\njlHJUi5jqXF20U0PoqtHWRz2m3be9kvyJl9U2CaKG25IFopPWjc7fyYpWWyWN50O8Fy1l8Gix9Ws\ngs3Scv31wJlndrsWxRE3MUFeNiv6Wh/LApHhc1z2fVaxZqzZVO2hURbdFIiDg4Optyk6xJymDmXu\n893vBqZMiV8vbZ3SitwsNsubvMYdzJuqhpirYDMmqahftCjZ9V42eecg+myfl82KfokdywLRfsku\n+z4bo5KlO4x1D2KRA2X7GBoaSr2Nr2EtU6yVPZNKGooWiFlsljd5z6TSbYq+56pgMyGM3W7Zts/L\nZkVf62knOmgifI7Lvs8q1ow1m6o9NMrCl4NYxvnIckNVyYNYxZeKtOch7fpVEBtVzUHMigjE+pBX\nLl9ciDkvmxXdRolADM6xCMQGUuWHfRnwlHzd6sWcFp9ALNN+Y9mDWAU6zUGs2jFX/Z4T8scXCSmq\nM0lRrFhRbPlVJmsed15Ic1EiVXtolAUPEMxD4lT9YeUa38/8W2YdqnjNpO1AU1U7R9Fpnat2zFW+\nnoQweXeGK9r2RV9TW21VbPl1QMZBbDBVF0RFs8EGwD33BPPKMlV9WJURYt5+ez3vtY8qexCTDnPD\nVNXOUTQtxNyNXvFCevbdF/joR/MpyxdizvsaKPJaf/TR5s6SkgbxII4BxnLjbIrDMgWzaxL0OIqe\nSQUAbroJ2Hpr/+9VfqkoOgcxi83ypmkCsWgvUhVsxlRl9posXHYZsNtu+ZQVF2LOy2ZFPtdmzgSm\nTi2u/LrA57js+6xizVizqdpDo1tUXSD6QjMSYtak9USkPYYqiI2qzqSSlbEkEAVNnOcwL5vJc604\n7BxEEYgNpmoPjW5RpvhZvHhx6m2q0IuZqWLjW3QnlSw2y5umDZRd9DVcBZsxdfYg5okvxMznJy+b\nyXOteNh2Zd9nFWvGmo3cSJoyBVdfX1/qbarQi5mpmtAAiu+kksVmeSOdVNJRBZsJYeIGys7LZlW7\n1psIn+Oy7zMxbQlUOZ+sG1T9fFShF3O35+CMYiwNc9Ot7fNGOqmMPXypMnlfA3JNFUe3nwMVfUQ3\niyrnk3WTqp4PXycVCTFriu6kUgWkk4pQd+JCzHnvR0L7xSG9mMcAVXtodIu6eBDLGkcsiiqeI/Eg\nxlO1h2bV7zkhf+zIR13HQRREII4J5EbSlPmwGhgYSL1NlTqpVPGaSTsOYtrzlsVmeVPVEHOnvaqL\nqlcVbCaEiXvBzctm8tJRPHyOy77PxLQlUsWHfTepasNSJYFYxXM0FjyIVe2k0unUf3W0RVqq4rXt\nNnFzMQvVp9s5iDKTSgnIDRqmzIfVyMhI6m2q0EnF3neV4POz117p1k9KFpvlTdNyEIsOM1bBZgCw\ncCHwoQ91uxbVIK4Xc1VsJvixx0Es22YiEEtkLLy9J6HqgrmMmVTi6PabYxxpvDRVPYYoqioQqxpi\nrgp/+EO3a1AdqpBDLeSD5CCOAaoqiMqm6gJRQsz5UseQX1VzEDsNMTfhehKSETfVnlAfRCA2GHmD\nC1P181GFqfbsugjlUlUPYlaqfs8J+VNWL2aheGQcxDGA3KCaMgXX6Oho6m3sN20Z5qZcstgsb6ra\nSaWqIeYq2EwIEycMxWbVx85BLNtmY/Dx0z3G4sM+ijLOx+DgYOptZKDs7pLFZnlT1RBzVooWiFWw\nmRAmzuZis/rANizbZmPw8dM9qvbQ6DZlnI+hoaHU2/hCyxJizkbaY8his7xpWr5W0WHGKthMCBNn\nc7FZfWAblm0zEYglIAniYco8H50IRPu7hJjLoQoPriYIc5Oi77kq2EwIU5ZAbNq9UiXsF1QRiA1E\nEsTDVF0wSy9mIa/zvv32+ZTD7LNPtu2kDRp7+NqtpnjFheKRcRBLRBpnTdUfVlUQiFUfBzENdXwg\n5XGN5n3cnZRX9XtOyB/pvSx0ivgnSkRuVM38+fpvVc+HdFLJh/XW038nTuxuPbJQ1WszKyIQxx51\nFIgLF3a7BoJJjR8/9aNON2qRHHgg8Mwz+ZS13nrAoYf6fx8eHk5dpuQg5sOeewK33QbMmJFuuyw2\ny5umdlIp6noq2maPPQY8/HChu2gcce1WXjbjF8EFCzov6/rrgRdf7LycpmC3P2W3jTV+/Ah1Ztq0\nfMp58kngpz/1/96JQJRezJ1BBLz1rem3q5JAbApFv+QUbbMNNwQ23rjQXTSOOA9iXjabNk0Lma22\n6rysiROBSZM6L6epiEAUhBxZvHhxx2VIiLlc8rBZpzTtvBctEKtgMyFMnEAUm9WPsm3WsGYQIKLr\niGi19VlFRG8w1tmYiC4nopuIaAkRfbjYOhVZuhBFX19fx2V0I8Rsj6A/lsjDZp3StJy9oo+nCjYT\nwvhszm2L2Kz62CHmsm3WxF7MCsAHAfy/0EKlXgYAIhoP4JcArlRK7UtEswDcSUQvKqUuLaJCTXnI\njFVkLuaxR9POe9MErxDPWHy5FPKliQIRAP6ulLrP89shALYEsCMAKKX+TkTnATgFQCECUag3EmIe\ne0gnFaHusK3ta1heEoSkjMXmYncA9ymllhvLbgYwl4g271KdhArTTe+LNObdoWnnXTyIYw+fQGzK\nS49QPE0ViJ8noquJ6E4iupSIzNGV5gGwB0x4GABBexaFBjEwMJB5W9tzOH58DhVKyVj0+HRis7xo\n2nkvWiBWwWZCmHGt+OCqVe7fxWbVxxbzZdusYc0gAODzAA5QSu0OYFFr2Q1EtHXr/0kAXrG24e9T\ni6iQvLXXG7Zfb2/5+26aUKkLTbtnxYM49uAXWp9AFKpPt729lc5BJKLl0J1OnD8DUEqp6eZCpdRN\nxv/PE9FHADwF4FMADmv9v5ZV1tqtv0/mUW+hOoyMjHRcBj9Ux5V4tzRpqr205GGzTmnaeS86j7YK\nNhPCxHkQxWb1o2ybVdo/oZSappSa7vlMs8Whp4wXADwIYIPWomUANrFW2wRaiC6LK2/evHno6+tD\nf39/6LNgwQKn+3d0dBS33toPoH2Ay+HhYfT392N0dLTtt4GBAW95/f39zgEzpbxiytMP1wH89rfl\n1e+WW3R55gO9ruevjuWxoFq1qpr1S1uePSZe1eo3FsrTz4Dy6nf00bq8lStDJeLWW+t5/sZieUuX\n9gOIL4/33dfXh4kTJ2LmzJno7+/Hrrvu2rZtKpRSjfkAeDOA6wCsbyxbB8DLAL7e+r43gNcBrGOs\n8y0Af4wpew4AtXTpUpWW97xHKe3sFOoCoNShh+r/b7hBfz/iiPL2f/rpep/PP1/ePoWA557T53/6\n9G7XJB+uvlofzxe+0O2ajF10XKC8/d1/v97f298ersOiReXVQeiMLbbo7JpZunSpgnZ+zVEZNFWl\nPYgZmALg3QA+AgBENAHAWQBehBaBAHAlgHsAHN9aZxb0uIlfLbuyQj1g70s3chCbFuqsC00775KD\nOPbgHMSwB7H7eW1Ccrptq0YJRKXUEgAHADiAiG4AcAu0t3ChUuqR1jorAewGYCsiWgJgBMAJSqmL\nu1RtoUBc7v6k2A9V6aRSDp3YLC+aJqSKFohVsJkQJq6TitisfpRts8Y9fpRSVyil3q6UWqSUeptS\n6oNKqWXWOo8opfZUSi1USm2jlDqnS9UVCmZwcDDztnZHkTI7qTBjUSB2YrO8aKpALOp6qoLNhDBx\nnVTEZvWjbJuNwcdP+TTtYVMnhoaGOi6jmx7EsXjt5GGzTmnaeS/ag1gFmwlhfCFmRmxWfewQc9k2\nE4FYAk172NSJTm6oha3h1bvpQRyLVOHB1TTPrd2LOW+qYDMhjM+DuKg1OrDYrH6UbTN55AmCg+ef\nByZP1v93w4O40076r4jS7tC0lzrppNJ9PvQh4N57y9ufy4P44ovA2mu71xcEG3n8CIKDKVOC/9n7\nUqZYW7iw+z3YxjIspJpig6JzEIV4fvSjcvfn6qQyaVK5dRDqjTQXghBDN3MQhe7QNE9b045HiIdf\nBnw5iEL16fYLqgjEEpDGuXu4ZzRIhwjEcsnDZp3StJBs0cdRBZsJYYLZgNy/i83qR9k2E4FYAuec\nA3zrW/HrCfmTp0CUfMByqMKDq2mh2KKPpwo2E9yIQKwvP/85cPbZwfeybSaPvBLYfHPgk5/sdi3G\nJosXL+64DPEglkseNuuUpngOmaKPpwo2E9z4Qsxis+rzlrfoD1O2zRr2niwIYfr6+jouQzyI5ZKH\nzTqlqZ1UiqIKNhPc+DyIYrP6UbbNRCAKQgzdnItZEPKgaR5RITk+gSgIcYhAFIQYJMQ8dmmKsGrK\ncQjpEYEoZEUEoiDEIAJRqDtN63QjJEeGuRGyIs2G0GgGBgY6LkNyEMslD5vlheQgJqNKNhPC+K5h\nsVn9KNtmIhAFIQYRiELdadq4joIgFI8IRKHRjIyMdFyGhJjLJQ+bCWGKFoZis/ohNqsfZdtMBKIg\nxCACUag7TRu2RxCE4hGBKAgxcC9AEYhjj6aEZKWTiiAIaZFmQxBiYIEoOYhjjwfx/dgAABOISURB\nVKZ43JoidAVBKA8RiEKjGR0d7bgMHiZCBGI55GEzIUzRnVTEZvVDbFY/yraZCESh0QwODnZcBgtE\nCTGXQx42E8IU7UEUm9UPsVn9KNtmIhCFRjM0NNRxGZKDWC552EwIU3QnFbFZ/RCb1Y+ybSYCUWg0\nedxQ48frv5Mnd1yUkAB5cOVP0R5EsVn9EJvVj7JtJllVghDDttsCIyPAokXdrokgZIN7MUtnlbHF\nXXcBkyZ1uxZCXRGBKAgxEAF77tntWghCdkQYjk3mz+92DYQ6IyFmQRCEhiMCURCEtIhAFBrN8PBw\nt6sgpERslj9FC0SxWf0Qm9WPsm0mAlFoNNII1g+xWf6IQBRsxGb1QwSiIOTI4sWLu10FISVis/wp\neqo9sVn9EJvVj7JtJgJRaDR9fX3droKQErFZ/hTtQRSb1Q+xWf0o22YiEAVBEBqOdFIRBCEtjRWI\nRPRPRHQxEf2SiD5u/bYxEV1ORDcR0RIi+nC36ikIglA0IhAFQUhLI8dBJKKvAdgDwP5Kqbut38YD\n+CWAK5VS+xLRLAB3EtGLSqlLu1BdQRCEQhGBKAhCWhrnQSSiwwB8HMA+tjhscQiALQF8DQCUUn8H\ncB6AU0qrpFAaAwMD3a6CkBKxWf4U3UlFbFY/xGb1o2ybNU4gAvgigJ8ppe7z/L47gPuUUsuNZTcD\nmEtEmxdeO0EQhJIRD6IgCGlplEAkovkA5gBYTUQXEtGNrc8+xmrzADxsbfowAIL2LAoNYmRkpNtV\nEFIiNsufogWi2Kx+iM3qR9k2a5RABDC39fcZAEcopd4N4EcALjNE4iQAr1jb8fepxVdREIS6oFS3\na5AP4kEUBCEtlRaIRLSciJ7xfJYT0TPWJmsDUAAuVEq9DABKqR8A+DOAj7XWeQrAWo7tAODJgg5F\nEASha7BAFKEoCEJSKi0QlVLTlFLTPZ9pSqnp1iZPQYeK17GWPwJg49b/ywBsYv2+CbSwXBZXp3nz\n5qGvrw/9/f2hz4IFC5wJpKOjo+jv73dOkTM8PIz+/n6Mjo62/TYwMCDlSXlSXpfLW7Wq2vVLWh4L\nQ/aIVq1+Up6UJ+VlL4/X7evrw8SJEzFz5kz09/dj1113bds2DaSaEkMBQETTADwO4Hil1LeN5fcD\n+KNS6gNEtDeASwGsr5R6tvX7twDsqJR6a0TZcwAsXbp0KebMmVPcQQi5Mjo6KjMG1Iyq2IwImDYN\neMaOU9SQJ54AZswAvvIV4IQT8i+/KjYTkiM2qx9pbbZs2TJsttlmALCZUmpZ2v1V2oOYllbP5HMB\n/DsRTQUAIjoUwEYAPt9a7UoA9wA4vvX7LAAfBPDV0issFM7g4GC3qyCkRGyWP0WHlsVm9UNsVj/K\ntlkTB8r+JIDTAFxPRCsAvADgnUqp+wFAKbWSiHYDcDYRLQEwAcAJSqmLu1ZjoTCGhoa6XQUhJVWy\nWVMCLEULxCrZTEiG2Kx+lG2zRoWYi0RCzIIwtiAC1lkHWL48ft2q8/TTwHrrAaefDnzmM92ujSAI\nZSAhZkEQBCESu5OKIAhCHCIQBUEQPDRlWJiip9oTBKF5SLMhCILgoSket6YIXUEQykMEotBoXONL\nCdVGbJY/RQ+ULTarH2Kz+lG2zUQgCo1GGsH6ITbLn6I9iGKz+iE2qx8iEAUhRxYvXtztKggpEZvl\nT9ECUWxWP8Rm9aNsm4lAFBqNzBRQP8Rm+cOdVIrKqRSb1Q+xWf0o22YiEAVBEBqOdFIRBCEtIhAF\nQRAaTtGdVARBaB4iEAVBEBqOCENBENIiAlFoNAMDA92ugpASsVn9EJvVD7FZ/SjbZiIQBUEQPPT2\ndrsG+SKeREEQkkKqKVMFFAwRzQGwdOnSpZgzZ053KyMIQuFcfjnQ3w9suWW3a5IPZ54JHH44MGlS\nt2siCEIZLFu2DJttthkAbKaUWpZ2+3G510gQBKEB7Ltvt2uQL0cf3e0aCIJQJyTELAiCIAiCIIQQ\ngSgIgiAIgiCEEIEoNJrR0dFuV0FIidisfojN6ofYrH6UbTMRiEKjGRwc7HYVhJSIzeqH2Kx+iM3q\nR9k2E4EoNJqhoaFuV0FIidisfojN6ofYrH6UbTMZ5iYhMsyNIAiCIAh1odNhbsSDKAiCIAiCIIQQ\ngSgIgiAIgiCEEIEoCIIgCIIghBCBKDSa4eHhbldBSInYrH6IzeqH2Kx+lG0zEYhCo5FGsH6IzeqH\n2Kx+iM3qhwhEQciRxYsXd7sKQkrEZvVDbFY/xGb1o2ybyTA3CZFhbgRBEARBqAsyzI0gCIIgCIKQ\nKyIQBUEQBEEQhBAiEAVBEARBEIQQIhCFRjMwMNDtKggpEZvVD7FZ/RCb1Y+ybdYogUhEhxHRas/n\nV8Z6GxPR5UR0ExEtIaIPd7PeQnEsW7as21UQUiI2qx9is/ohNqsfZdtsXKl7K4cfATgdALW+TwFw\nHYDzAYCIxgP4JYArlVL7EtEsAHcS0YtKqUu7UF+hQFatWtXtKggpEZvVD7FZ/RCb1Y+ybdY0gfgA\ngMeUUvfzAiI6AcAjAC5oLToEwJYAdgQApdTfieg8AKcAEIEoCIIgCMKYp1EhZqXUDUqpX/N3InoD\ngE8BOFkFAz7uDuA+pdRyY9ObAcwlos3Lq60gCIIgCEI1aZRAdPAJAE8D+JmxbB6Ah631HoYOSW9Z\nUr0EQRAEQRAqS2MFYst7eBzC3kMAmATgFWt1/j61jLoJ5bFixYpuV0FIidisfojN6ofYrH6UbbNK\n5yAS0XIAvrkACYBSSk33/P5xAE8BuMha/hSAtaxla7f+PhlRnV4AePhh2/koVJmHHnpIeuvVDLFZ\n/RCb1Q+xWf1IazNDr/Rm2V8j52JueQ+XAvikUuoi67cLAGytlJpvLDsQOgw9Tyn1N0+Z7wZwQ3G1\nFgRBEARByJ1FSqkb025UaQ9iBwwBeMoWhy0uBXAgEa2jlHq2tWx7AHf6xGGL/wdgEYDHAMj4AIIg\nCIIgVJleADOh9UtqGudBNLyHRyulLnb8Pg7A7QBGlFIntsZBvAPAx1zrC4IgCIIgjDWaKBCPA/Bp\npdSGEetsDOBsABsAmABgWCl1TklVFARBEARBqDSNE4iCIAiCIAhCZzR2mBtBEARBEAQhGyIQBUEQ\nBEEQhBAiEAVBEARBEIQQIhATQEQfJaJbiehGIrqMiDbqdp3GMkQ0lYjOJKIrieivRPR/RLTQ+H1j\nIrqciG4ioiVE9GFHGWLTLkFE41u2+aGxTGxWUYjon4joYiL6JRF93FguNqsYRLQ2EZ1BRLcT0e+I\n6DdE9C7jd7FZFyGiKUR0KBH9nIjsGd1ysU+SMhKjlJJPxAfAodCzr8xsff8v6GFxertdt7H6AXAN\ngPNb//cA+CGA5wDMAjAewF0AvtL6fRaAZwAcIDatxgfADwC8DuCHre9is4p+AHwNwF8AvNlaLjar\n4AfAcMteU1rfDwLwAoA+sVn3Py37fB3ACIBV1m8d2ydJGanq2+0TVvUPgL8BOMP4Ph3ASgAHdbtu\nY/UDYDmAc43vswCsBvBZAP/aEh/TjN+/BeAesWn3PwCOBnA1gN8ZAvEwsVn1Pi27vAw9w5TrN7FZ\nxT4A/gHga9ayZwAcJ21jdT4AvugQiB3fU0nKSPOREHMERLQlgM0A3MLLlFLPALgPwD93q14CtgJw\ngvH9qdbfHmi73KeUWm78fjOAuUS0udi0exDRzgCOgvZqrDZ+2h1isyryRQA/U0rd5/hNbFZNVgB4\nb2tCCBDR2gAmArgH0jZWnTzuqcgy0lZIBGI08wAoAA9byx8GsGX51REAQCn1d6XUU8aiRdB2+iW0\nzVz2ArTNxKZdoNU4nQtgf6XUc9bPYrOKQUTzAcwBsJqILmzlO91IRPu0VhGbVZPPAtgGwM1EtAuA\nLwG4VCl1FcRmVScP+/jKIGSwoQjEaCa1/trJpK8AmFpyXQQHRNQL4FQA5ymlboO2mcteBG0zsWnJ\nENFkAD8H8B9Kqb86VhGbVY+5rb/PADhCKfVuAD8CcBkR7QuxWVX5OYAroWcI+zWAjwK4rPWb2Kza\n5GEfXxlABhuKQIyGvVRrWcvXBvBkyXUR3AwDeBU6dAlom7nsBWibPQV9w4lNy2NX6PM91OpV+Vto\nL8duRHQhxGZVZG1ob8WFSqmXAUAp9QMAfwbwMYjNKgcRTQBwPYCblVLbAHgrgD8B+AURHQaxWdXJ\nwz5xZaRiXNoNxhjLoA2yibV8EwC3lV4bIQQRfRvapb67Uuq11uJlALa2Vt0E+mG3DMFLkdi0JJRS\nVwC4wlzWEolLlVIfIaILIDarGvwwWsda/giATQH8EVrkm4jNusvO0PfRjgCglLqDiN4H4F7oF+i/\nQWxWZZah83YwroxUiAcxAqXU/dBvYOY4UtOhRckl3arXWIeIxhHR+QDWB/B+pdRLRDSBiM6AtssW\nRGQ+2LYHcKdS6m9i00pyKcRmVeP/QfeGtAVFH/QwGv8DsVnV4Of5ZF6glFoB4EFogSD3WbXJwz6R\nZaSuUbe7e1f9A+AQaNfshq3v34BuIHu6Xbex+IHOsfg1gDsB/Av0uFCHAjgewG8A9Lbsc1pr/VkA\nngbwAbFpdT4AfotgmJtxYrPqfaDTN+4BMLX1/VAAL0HnJ4rNKvaB7q18F4D/BkCtZTsBeA3AoNis\nOh/ozkP2MDcd2ydJGWk+EmKOQSl1IRFNBfArInoVwBPQXqvVMZsKxfB26FAKAPzE+u06pdQqItod\nwFlEtAQ6WfsEpdTFvJLYtFoopVYS0W4AzhabVYpPAjgNwPVEtAJ6wOV3Ku3JgNisWiilXiOiXQGc\nAuBGIlrV+mk/pdSVgNis2xDRTgBOgvb6gYhuBnCTUurTebSDScpIVd+WyhQEQRAEQRAEAJKDKAiC\nIAiCIFiIQBQEQRAEQRBCiEAUBEEQBEEQQohAFARBEARBEEKIQBQEQRAEQRBCiEAUBEEQBEEQQohA\nFARBEARBEEKIQBQEQRAEQRBCiEAUBEEQBEEQQohAFARBEARBEEKIQBQEQRAEQRBCiEAUBEEQBEEQ\nQohAFARhzEJE/0FES4loNREtIaLfENFviehBIrq82/UTBEHoFqSU6nYdBEEQugYRHQbghwC2UUrd\nZSzbSym1b1crJwiC0CXEgygIgqAh4/97ADzYrYoIgiB0GxGIgiAIFkqpPwD4VSvcPEpEi4joASK6\nDACI6I1EdC4R3UxE9xHR14lojcAkoh2I6Eoi+j0R3UFEjxPR7kTUS0RnENHDRPSvrXV3IaJrieg+\nY/sJrTJ/T0R3E9GPiWgtIlqXiH5CRM8R0Y+I6PtE9Fci+iMRbWZsv07r97tav32/te+LWuH0h4no\noNa6FxHRSiL6fmknWBCEyiMCURAEwYCIdiSibwK4DcCfAcwAsA+AQwH8rrXaxQCUUmp7AO8AcDiA\nI1vbvx/AbwCcrZR6p1JqGwAbAFhfKbUKwA8AbGTs8s8A7gUwzlh2JoAFAN4FYGsA7wTwJaXU0wBO\nAjAFwM+VUv8GYD6AXgDHG9tfBWBLAG8DcCyAIwBsr5Q6CMCtAK5TSl3UWvdYADe0yhIEQQAgAlEQ\nBAHQ4eVziei30PmISin1JICnACxXSn1KKXWLUupMItoBwPugRRyUUssB/AHAAa2yvg7gf5VSI64d\nKaX+Yn1/HMATaypCNBtacA4rzQoAvzXKZ5a3tl8N4A4Ab2ptvzO0sDylte0ogO8B+FNruwsBDBLR\n2q3vBwP4abLTJAjCWEEEoiAIAqAAHK6U2gnAJ63fVlrf39n6+13u9QxgFqBDz9Aevds6qMt20B7B\nz7fK/w204LPrYbIagQdyW+jj+RMAKKUeUUoNKaWea/1+MYA3ANir9X0/AJd2UF9BEBrIuPhVBEEQ\nxgScQ/iPmPV6oQXYnkqpF0IFEK2bQz24/CO4V3VKXuPquH5USj1GRL8DcAgR3QngIaXU89mqKghC\nUxEPoiAIgoFS6lal1KciVmHR9g7Htk8DeAba4xfFSgBrRZRPrvITwttvF7HOzwC8H9pben7G/QiC\n0GBEIAqCMNYheLxtruVKqasB3ALgy0Q0FQBaPYwPb60yDOD9RPSR1m+THeXeD+ADRDSNiGZCd0jh\n8u8GcBGAE4ho41YZvUR0lK9O5nKl1HUAbgRwMhHNaG0/noi2MNb9H2gv5V4AfukpTxCEMYwIREEQ\nxixEdAiAk6HF0vlEdKjx20cB/DuAWUR0HRFtbmw6COAvAH5PRL8CcAmAVa3fTgbwHQDfJKL7AXyl\nVb7JfwCYB+A+AJ8D8GhrPxe0fj8cwC8AXEtE17b+n0xEcwBc0SrvLCKaS0RHQwu9dxDR6a3t94DO\ng7yNiK6BFpwb8s6VUs8C+BWAi1qdXARBEELITCqCIAgFQ0SrAXxIKXVet+vCtMY9/J5S6vZu10UQ\nhOohHkRBEIQxRis03ifiUBAEH9KLWRAEoUCIiF/Eu/5CTkRD0J1fVgL4bperIwhChel6gyUIgtBU\niGgu9EwpCsBXiWjvblcJwN4AnlVKXd7lugiCUGEkB1EQBEEQBEEIIR5EQRAEQRAEIYQIREEQBEEQ\nBCGECERBEARBEAQhhAhEQRAEQRAEIYQIREEQBEEQBCGECERBEARBEAQhhAhEQRAEQRAEIYQIREEQ\nBEEQBCGECERBEARBEAQhhAhEQRAEQRAEIYQIREEQBEEQBCHE/wfCfYBOvbBmqAAAAABJRU5ErkJg\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa8e5278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p.plot(sides='twosided')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> By convention, the psd attribute contains the default PSD (either one-sided for real data or two-sided for the complex data)."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Since p is an instance of Periodogram, you can introspect the object to obtain diverse information such as the original data, the sampling, the PSD itself and so on:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Periodogram PSD estimate\n",
" Data length is 1024\n",
" PSD length is 513\n",
" Sampling 1024\n",
" freq resolution 1.0\n",
" datatype is real\n",
" sides is onesided\n",
" scal_by_freq is False\n",
"\n"
]
}
],
"source": [
"p.psd # contains the PSD values\n",
"p.frequencies() # returns a list of frequencies\n",
"print(p) # prints some information about the PSD."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"The object approach versus functional approach (ARMA example)\n",
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the previous section, we’ve already illustrated the object approach using a Fourier-based method with the simple periodogram method. In addition to the Fourier-based PSD estimates, Spectrum also provides parametric-based estimates. Let us use parma() class as a second illustrative example of the object approach:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAosAAAHPCAYAAAA7y5DwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nopmZmZk19X89P5tjHW3cqgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa4fa048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from spectrum import parma\n",
"from spectrum import marple_data\n",
"p = parma(marple_data, 15, 15, 30, NFFT=4096)\n",
"p.run()\n",
"a=p.plot(norm=True, color='red', linewidth=2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"ARMA functional approach\n",
"---\n",
"The object-oriented approach can be replaced by a functional one if required. Nevertheless, as mentionned earlier, this approach required more expertise and could easily lead to errors. The following example is identical to the previous piece of code.\n",
"\n",
"In order to extract the autoregressive coefficients (AR) and Moving average coefficients (MA), the arma_estimate() can be used."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAoQAAAHPCAYAAADKwMt9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOjwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x90df710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from spectrum.arma import arma_estimate, arma2psd\n",
"ar, ma, rho = arma_estimate(marple_data, 15, 15, 30)\n",
"psd = arma2psd(ar, ma, rho=rho, NFFT=4096)\n",
"plot(10*log10(psd/max(psd)),linewidth=2)\n",
"axis([0, 4096, -80, 0])\n",
"xlabel('Frequency')\n",
"ylabel('Power (dB)')\n",
"grid(True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"FFT Spectrum\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"run_control": {
"breakpoint": false,
"read_only": false
}
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAApEAAAHPCAYAAAALR4HRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/QWqFSLqN769vAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x916feb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"w = hamming(size(marple_data))\n",
"td = marple_data * w\n",
"fd=np.fft.fft(td,4096)\n",
"ld=10*log10(abs(fd))\n",
"plot(10*log10(psd/max(psd)),linewidth=2)\n",
"plot(ld-max(ld),linewidth=2);\n",
"grid();\n",
"xlabel('Frequency')\n",
"ylabel('Power (dB)');"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Books\n",
"===\n",
"\n",
"<table>\n",
" <tr>\n",
" <td>[Hayes]</td><td>Hayes, M.H. Statistical Digital Signal Processing and Modeling. New York: John Wiley & Sons, 1996.</td>\n",
" </tr>\n",
" <tr>\n",
" <td>[Kay]</td><td>Kay, S.M. Modern Spectral Estimation. Englewood Cliffs, NJ: Prentice Hall, 1988.</td>\n",
" </tr>\n",
" <tr>\n",
" <td>[Marple]</td><td>Marple, S.L. Digital Spectral Analysis. Englewood Cliffs, NJ: Prentice Hall, 1987.</td>\n",
" </tr>\n",
" <tr>\n",
" <td>[Orfanidis]</td><td>Orfanidis, S.J. Introduction to Signal Processing. Upper Saddle River, NJ: Prentice Hall, 1996.</td>\n",
" </tr>\n",
" <tr>\n",
" <td>[Percival]</td><td>Percival, D.B., and A.T. Walden. Spectral Analysis for Physical Applications:<br> Multitaper and Conventional Univariate Techniques. Cambridge: Cambridge University Press, 1993.</td>\n",
" </tr>\n",
" <tr>\n",
" <td>[Proakis]</td><td>Proakis, J.G., and D.G. Manolakis. Digital Signal Processing: Principles, Algorithms, and Applications.<br> Englewood Cliffs, NJ: Prentice Hall, 1996.</td>\n",
" </tr>\n",
" <tr>\n",
" <td>[Stoica]</td><td>Stoica, P., and R. Moses. Introduction to Spectral Analysis. Upper Saddle River, NJ: Prentice Hall, 1997.</td>\n",
" </tr>\n",
"</table>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Articles\n",
"===\n",
"<table>\n",
" <tr>\n",
" <td>[Harris]</td><td>Harris, F.J. \"On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform.\" <br>Proceedings of the IEEE. Vol. 66, No. 1 (January 1978).</td>\n",
" </tr>\n",
" <tr>\n",
" <td>[Nuttall]</td><td>Nuttall, Albert H. \"Some Windows with Very Good Sidelobe Behavior.\" <br>IEEE Transactions on Acoustics, Speech, and Signal Processing. Vol. ASSP-29 (February 1981). pp. 84-91.</td>\n",
" </tr>\n",
" <tr>\n",
" <td>[Wax]</td><td>Wax, M. and Kailath, T. Detection of signals by information Theoretic criteria,<br> IEEE Trans Acoust. Speech Signal Process, vol ASSP-33, pp 387-392, 1985.</td>\n",
" </tr>\n",
" <tr>\n",
" <td>[Welch]</td><td>Welch, P.D. \"The Use of Fast Fourier Transform for the Estimation of Power Spectra:<br> A Method Based on Time Averaging Over Short, Modified Periodograms.\" IEEE Trans. Audio Electroacoust.<br> Vol. AU-15 (June 1967). Pgs.70-73.</td>\t \n",
" </tr>\n",
"</table> "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"run_control": {
"read_only": false
}
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
},
"toc": {
"toc_cell": true,
"toc_number_sections": true,
"toc_section_display": "block",
"toc_threshold": 4,
"toc_window_display": true
},
"toc_position": {
"height": "313px",
"left": "118px",
"right": "880px",
"top": "249px",
"width": "311px"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment