{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from astropy.timeseries import LombScargle\n", "\n", "plt.style.use('seaborn-whitegrid')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rng = np.random.RandomState(5432)\n", "t = 100 * rng.rand(30)\n", "y = np.sin(t) + 0.3 * rng.randn(30)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def schuster_periodogram(t, mag, freq):\n", " t, mag, freq = map(np.asarray, (t, mag, freq))\n", " return abs(np.dot(mag, np.exp(-2j * np.pi * freq * t[:, None])) / np.sqrt(len(t))) ** 2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/astropy/stats/lombscargle/implementations/fast_impl.py:94: RuntimeWarning: invalid value encountered in true_divide\n", " tan_2omega_tau = (S2 - 2 * S * C) / (C2 - (C * C - S * S))\n", "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/ipykernel/__main__.py:6: RuntimeWarning: divide by zero encountered in true_divide\n", "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/ipykernel/__main__.py:7: RuntimeWarning: invalid value encountered in multiply\n" ] }, { "data": { "image/png": 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RETx//jzbeAIDA+nVqxfTp08H0m8DuHPnDk2aNDHwrBQ8gxMse3t7pk+fzuLF\ni3F1dc2U/a5bt85owQkhxIu8qMCFju4qXnJycr7EJIQQRcGFCxcyfa42bNiQQYMG0b9/f9auXUur\nVq04evQoBw8eZNWqVbk6jkqlYtKkSUydOpVbt26xbt065s2bl+W2pqamDBs2jK+//pqUlBTatWtH\nWloa//zzD3v27GH9+vVAemW9uXPnUq1aNSpXrszChQtxdXWlUqVKWFtb89tvv+Ho6MjNmzeZOXMm\nkP2wsz59+rBq1Sp++OEH2rdvz6+//sqZM2eUhDCjQYMGMWDAALy8vGjdujWHDx/mxx9/ZO3atbk6\nNy+7z8qVK9OyZUs+/fRTpk2bBsCMGTNo2LAh1apVw9nZmW+//ZY5c+bwzjvvcPjwYc6ePaskWP/1\nXvv7+7N48WJcXFwoUaKEUrwku95SBwcHgoKCCA0NxcTEhOXLlxMVFVUohvwZyuAEy8PDAw8Pj7yI\nRQghDJJxiGB2dOukB0sIIYznq6++yrTst99+w9vbm/nz5/Ptt98SEBCAu7s7ixYtomnTprk6jq2t\nLa1atcLf3x9LS0tGjx5Nhw4dst3+f//7H/b29mzevJlly5YB6ff2rFixQiny0L17dx49esSMGTOI\ni4ujUaNGLF68GAsLCwICApg3bx7r16/H1dWV4cOHs2jRIq5evUrlypUzHa9cuXIsXryYefPmsXjx\nYpo3b46vr69eGXWdOnXqKOdm/vz5VKhQgQULFtCwYcNcnRtj7HPevHnMnj2bQYMGYWpqiq+vL5Mm\nTQLSO1VWrlzJ559/Tvfu3WnYsCHdu3dXevP+671+7733iIyMZPTo0ZiamjJ06FDOnDmT5bmB9IqG\nkyZNom/fvhQrVoxWrVrRr18/rl69muvzU1BU2iJYuzghIYGrV69SrVo1ihcvXtDhiNeYWq0mODiY\nOnXqyKR+eeD48eP89ttveHl54efnl+U227dv59KlS3Ts2PGVHGaQU9LWRH6Rtibyy6vQ1q5du0Za\nWho1a9ZUlg0dOhQvLy9Gjx5dgJEVvD///BNPT08cHR2B9LLvTZs25dChQ3rFKgqD2NhYrl27hoeH\nxwtvO8ipXN0Ztnv3bvz8/GjQoAERERHMmTOHH3744aWDEUIIQ+h6pbK7gTfjOunBEkIIYWx37txh\n8ODB/P3339y7d4/AwECOHz9O+/btCzq0AvfTTz8xefJkbty4QVhYGJ9//jleXl6FLrnKCwYnWJs2\nbWL+/PnnHY6fAAAgAElEQVT4+fkpZTQ9PT1ZtWoVS5YsMXqAQgiRHV3SJEMEhRBCFIR27doxaNAg\npkyZQqdOnVi/fj0LFy6UYnDAZ599homJCW+//TZ9+vRBo9GwdOnSgg4rXxh8D9b69euZPXs2rVu3\nZsGCBUD6WFYHBwc+++wzRo0aZfQghRAiK7obrHOSYEmRCyGEEHlh+PDhDB8+vKDDKHScnZ357rvv\nCjqMAmFwD9b9+/ezvMmvfPnyPHv2zChBCSFETsgQQSGEEEIUNgYnWN7e3uzcuVNvmVarZfXq1cqc\nAUIIkR9kiKAQQgghChuDhwhOnTqVoUOHcvToUVJSUpgxYwa3bt0iKSmJFStW5EWMQgiRJUmwhBBC\nCFHYGJxgVatWjV9//ZXdu3cTHh6OWq3G19eXN99885WeeVwI8eoxJMGSe7CEEEIIkR8MTrA++eQT\nWrZsSbt27ShRokRexCSEEDliSJEL6cESQgghRH4wOMEqW7YsP/74IxMnTqRGjRr4+Pjg4+NDnTp1\nMDHJ1bRaWdqxY4cyk3RGKpWKkJCQTMuHDx/O4cOH9ZZ9//33tGnTxmgxCSEKD61Wm6MiFxkTLK1W\ni0qlypf4hBBCCFE0GZxgjRs3jnHjxhETE8PJkyc5fvw4EydO5NmzZzRr1oxFixYZJbAuXbrg4+Oj\nPE5LS2PgwIG0bt06y+3DwsIICAigadOmyjJ7e3ujxCKEKHxSUlKU31/Ug6VLvrRaLampqVhYWOR5\nbEIIIYQougxOsHTUajUqlQpLS0vs7e25e/dulj1LuWVlZaX3pWn58uVotVomTJiQaduUlBTu3r2L\nl5cXpUqVMloMQojCS9d7ZWJigplZ9h9l5ubmmJiYoNFoSEpKkgRLCCGEEHnK4ARr0qRJnDt3jnv3\n7lG9enXq1avHkCFDaNCgASVLlsyLGHn27BkrVqxg9uzZWX45Cg8PR6VSUb58eYP2q9FoUKvVxgpT\niEx07UvamfHFx8cD6RdjNBoNAKtXr2bHjh20bduWcePGKcMBraysSEhIICEh4bUtxiNtTeQXaWsi\nv0hbE/lF9z3CWAxOsM6ePUtERATNmjXDx8eHevXqUatWLUxNTY0aWEabN2+mdOnSdOrUKcv14eHh\nFCtWjE8++YRTp05RpkwZRo8eTatWrV643xs3buRFuEJkcvHixYIO4bXz+PFjIP2+zODgYI4ePar0\ncB84cIAbN24wdOhQvedcvHgRR0fHfI81P0lbE/lF2prIL9LWxKvG4ATrt99+IzIykjNnznD69Gm2\nb9/O/fv38fLyokGDBowaNcqoAWq1WgIDAxkyZEi224SHh5OUlESLFi0YOnQoBw8eZPjw4fz00094\neXll+7wqVapQrFgxo8YrREZqtZqLFy/i5eWVpxchiqJr165x/Phx7Ozs8Pb2pk+fPgDY2NiQkJDA\n2rVr+eyzzyhTpgxnz54lISGB8uXLU7Vq1QKOPG9IWxP5RdqayC/S1kR+iYuLM2rHS67uwSpdujRd\nunShZcuWnDlzht9//51du3YRFBRk9ATr4sWLPHr0iK5du2a7zYgRI/D391eKWtSoUYPLly+zdevW\nFyZYJiYm8gcr8oWpqam0NSNLTU0FwNramqCgIMLDw7G1tSUyMhJfX19OnDjBd999x5w5c5T7OVNT\nU1/790Hamsgv0tZEfpG2JvKaMSuhAxi8tz/++IP58+fz1ltv0aRJEwICArCxsWHJkiWcPHnSqMEB\n/PXXXzRo0OCFFQFNTEwyra9UqRKPHj0yejxCiMIh4yTDW7duBaBbt27Y2Ngwbtw4IH14sVarlbmw\nhBBCCJFvcjXRcNOmTenbty8+Pj6UKVMmL+JSXLhwgXr16r1wm4kTJ6JSqZg7d66yLCQkhGrVquVp\nbEKIgpNxDqwjR44A0L17dwC6du2KlZUVN2/e5Pz580qpdkmwhBBCCJHXDO7BOnHiBIsWLaJhw4Zc\nvnyZgwcPEhYWlhexAXD9+nWqVKmSaXlUVJTyZalt27bs2bOHnTt3cvv2bZYsWcLZs2d555138iwu\nIUTBylim/cKFCwA0adIEAFtbW6Uozp49e6QHSwghhBD5xuAerLi4OCZOnMjhw4exs7NDrVYTHx9P\nw4YNWbp0KcWLFzdqgNHR0djZ2WVa3qJFC+bOnYufnx8dOnRg+vTpLFu2jPv371O1alVWrlyJq6ur\nUWMRQhQeumTp7t27pKam4uTkhJubm7K+ffv27Ny5kz///JOWLVvqPUcIIYQQIq8YnGDNmjWLhw8f\nsm/fPipVqgSklzufOHEic+fO5YsvvjBqgLor0/8WGhqq97h379707t3bqMcWQhReycnJwP9Pt9Cw\nYUNl3isAHx8fAP755x9lImLdc4QQQggh8orBQwQPHz7M559/riRXkF7u/LPPPuPQoUNGDU4IIbKj\n6426desWQKZ7NWvVqkWJEiVISEjg5s2bes8RQgghhMgrBidYlpaWWZYyVKlUMtO2ECLfZBwiCFC9\nenW99SYmJjRt2hT4/x5vSbCEEEIIkdcMTrDatm3LjBkzuHPnjrLs1q1bzJ49m1atWhk1OCGEyI5u\nuN/t27cBspxAWNerde3aNUASLCGEEELkPYMTrI8//hhLS0s6duxI48aNady4MZ07d8be3p5p06bl\nRYxCCJFJUlISKSkpPHz4ECDLaRnq1KkDpE/boHuOEEIIIUReMrjIhZ2dHevXryckJITw8HAsLS1x\nd3fXuydLCCHyWlJSEk+ePAHA0dERR0fHTNvoEqzQ0FDUarUUuRBCCCFEnstxghUREcGRI0cwNzfH\nx8eHGjVqUKNGjbyMTQghspSWloZarebx48dA1sMDAdzd3SlevDixsbFER0fj7OyMWq3G1NQ0P8MV\nQgghRBGSoyGCf/zxB507d+abb77hq6++omvXruzfvz+vYxNCiCzphvo9e/YMINsedBMTEzw8PID0\nOfVASrULIYQQIm/lKMFavnw5/fr14+TJk5w9e5aBAwcyf/78vI5NCCGypEuw4uPjAShfvny22+qq\nC+qSMbkPSwghhBB5KUcJ1uXLlxk4cKAyWecHH3zAw4cPlfsfhBAiP+mSpLi4OABcXV2z3VaXYD19\n+hSQHiwhhBBC5K0cJVjJyclYW1srj21tbbG2tlauHgshRH7SJUnPnz8HXtyDpasuqBsiKD1YQggh\nhMhLBpdpF0KIgvbve7By0oMVGRmJVquVHiwhhBBC5KkcVxF8+PBhpi8mjx49ylSNy8XFxTiRCSFE\nNpKSklCr1cTExAAvTrB0FQYTEhJISEiQHiwhhBBC5KkcJ1hvvfWW3mOtVss777yDSqVSHqtUKq5e\nvWrcCIUQ4l+SkpKIjY1Fq9Vibm5O6dKls93W2tqaMmXK8PDhQ549eyY9WEIIIYTIUzlKsA4dOpTX\ncQghRI4lJSUp91+5uLhgYvLi0c7u7u5KgiU9WEIIIYTISzlKsMqVK5fXcQghRI4lJSUpFQTLli37\nn9tXrFiR48ePSw+WEEIIIfKcFLkQQrxykpOTlSqmzs7O/7l9xYoVAaQHSwghhBB5ThIsIcQrJ2MP\nVk4SLHd3dwDpwRJCCCFEnpMESwjxynmZHixJsIQQQgiRlyTBEkK8cgztwXJzcwMgJiZGhggKIYQQ\nIk/lqMhF27ZtlXLs/0UqDgoh8lpSUpJBPVi6Qj0pKSnK5MRCCCGEEHkhRwnW6NGj8zoOIYTIMUN7\nsGxtbbG3tycmJobIyMi8Dk8IIYQQRViOEqyePXvmaGepqakvFYwQQvwXjUZDSkqKQT1YkF7OPSYm\nhujo6LwMTwghhBBFXI4SrIyio6NZvnw5N27cQK1WA6DVaklNTSUsLIzTp08bPUghhNBJTk4mJSWF\nlJQUIOcJVrly5QgJCeHJkyeo1WpMTU3zMkwhhBBCFFEGF7mYPHkyf/31F15eXpw7dw5vb28cHR25\ncOGC0YcSHjx4kOrVq+v9jBkzJsttr1y5Qu/evfH29qZXr15cunTJqLEIIQqHpKQkEhISALCwsMDO\nzi5Hz6tQoQIAz58/l0qCQgghhMgzBvdgnT59mtWrV1O3bl3+/vtvWrduTf369fnhhx/4888/effd\nd40W3I0bN2jTpg2zZs1SlllaWmbaLiEhgaFDh9KtWze+/PJLNm/ezAcffMDBgwexsbExWjxCiIKX\nMcEqWbJkjgvwuLq6AhAbG0tycrJ8NgghhBAiTxjcg6XVapUhOVWqVOHKlSsAdO7cmYsXLxo1uLCw\nMKpVq0apUqWUn6yuVu/fvx9LS0s++eQTKleuzJQpU7C1teXAgQNGjUcIUfCSk5NJTEwE0hOsnNJV\nEnz+/LmUahdCCCFEnjG4B6tmzZrs2rWL4cOH4+Hhwd9//42/vz937941enBhYWE0a9bsP7c7f/48\n9evXV65kq1Qq6tWrR3BwMH5+ftk+T6PRKPeRCZEXdO1L2pnxJCQk6PVg5fTc6i4MxcXFkZCQ8Nq9\nJ9LWRH6Rtibyi7Q1kV80Go1R92dwgjV+/HiGDRuGtbU13bt3Z+XKlXTr1o379+/z5ptvGi0wrVbL\nzZs3OXbsGMuXL0etVtOpUyfGjBmDhYWF3rZRUVFUqVJFb1nJkiW5fv36C49x48YNo8UrxIsYu3e3\nKIuIiFASLFNTU4KDg3P0vJiYGCA9wQoJCXlt58OStibyi7Q1kV+krYlXjcEJloeHB0eOHCEpKYkS\nJUqwfft2fv/9dxwcHOjcubPRArt//z6JiYlYWFiwaNEi7t69y+zZs0lKSmLq1Kl62+q2y8jCwkKp\nMpadKlWqUKxYMaPFLMS/qdVqLl68iJeXl1StM5KUlBRliGDlypWpU6dOjp7n4OAAQHx8PGXLlsXb\n2zvPYiwI0tZEfpG2JvKLtDWRX+Li4oza8WJwgvXGG2+wZMkSatasCaQPuxkwYIDRAtIpV64cJ0+e\nxN7eHpVKhYeHBxqNho8//phJkybp/aFZWlpmSqZSUlKwsrJ64TFMTEzkD1bkC1NTU2lrRpKcnKz0\nYDk5OeX4vLq4uADp/7CfPn362r4f0tZEfpG2JvKLtDWR10xMDC5L8eL95SaA/JpQ2MHBQa9CWOXK\nlUlOTlaG+ug4Oztnmjw0Ojqa0qVL50ucQoj8k9siF9bW1lhbWwPw8OHDPIlNCCGEEMLgHqzWrVsz\nePBg2rRpQ7ly5TINzRs1apRRAvvrr7+YMGECR48eVb4UXb16FQcHBxwdHfW29fb2ZsWKFWi1WlQq\nFVqtlnPnzjFs2DCjxCKEKDz+XabdEA4ODiQmJhIZGZkXoQkhhBBCGJ5ghYaGUqtWLSIjIzN9Scnp\nfDQ5UbduXSwtLZk6dSojR44kIiKC+fPnM2TIECC9sEXx4sWxsrKiU6dOLFiwgDlz5vD222+zZcsW\nEhMTjXpPmBCicMjYg+Xk5GTQcx0dHXnw4IEkWEIIIYTIMwYnWPPmzaNMmTKZxiqq1WpCQkKMFlix\nYsVYtWoVX3zxBb169cLW1pa3335bSbBatGjB3Llz8fPzo1ixYixfvpzp06ezdetWqlevzg8//CAT\niQrxGnqZHixdQvbvIcVCCCGEEMZicILl6+vL33//nWmY3t27d+nfvz/nz583WnBVq1ZlzZo1Wa4L\nDQ3Ve1y7dm1+/vlnox1bCFE4JSUl5eoeLPj/BOvx48dGj0sIIYQQAnKYYAUGBvL9998D6fNT9erV\nK1MP1vPnz6lcubLxIxRCiAxiY2NJTk4GDE+wdIVvnjx5YvS4hBBCCCEghwlWjx49MDc3R6PRMHny\nZAYPHkzx4sWV9SqVCmtra5o0aZJngQohBPx/cqRSqZS5rXKqTJkyAJkqkQohhBBCGEuOEixzc3N6\n9OgBgKurK/Xq1SMmJka5ehwUFEStWrUyVRQUQghj0mg0PHv2DIASJUoYPC+KLsHS7UMIIYQQwtgM\nngerePHi+Pr6smrVKmXZhAkT6NSpE9evXzdqcEIIkdG/Jxk2lG6y4djYWKPGJYQQQgihY3CCNXPm\nTNq3b8+4ceOUZQcPHqRt27bMnDnTqMEJIURGiYmJuS5wAVCuXDkA4uLi0Gg0Ro1NCCGEEAJykWBd\nvXqVgQMHYm5u/v87MTHh3Xff5dKlS0YNTgghMkpMTMx1iXaA8uXLA+k9YXIflhBCCCHygsEJVtmy\nZTl+/Him5efOncvVkB0hhMipl+3BKlmypHLfVkREhFFjE0IIIYSAXMyDNWzYMKZMmUJQUBCenp4A\nhISEsHv3bqZPn270AIUQQudlJhmG9MqDxYoVIyYmhvv371O7dm1jhyiEEEKIIs7gBKt79+44Ojqy\ndetWNm/ejJmZGW5ubqxatYoGDRrkRYxCCAHoDxHMbY+5nZ2dkmAJIQonjUaTab5NIYR4VRicYAH4\n+Pjg4+Nj7FiEEOKFXnaIIIC9vT0RERE8fPjQmKEJIYwgNTWV/fv3c/HiRTw9PenSpYtMASOEeOXk\n6vLQ7t278fPzo0GDBkRERPDFF1/www8/GDs2IYTQ87JDBAFlcuJHjx4ZLS4hhHEcPXqU4OBg1Go1\n58+f58iRIwUdkhBCGMzgBGvTpk3Mnz8fPz8/UlNTAahVqxarVq1iyZIlRg9QCCF0jNGDVaJECQCi\no6ONFpcQ4uU9f/6ckydPAlCjRg0ATp48ydOnTwsyLCGEMJjBCdb69euZPXs277zzjjI+unv37syf\nP5/AwECjByiEEDrG6MFydHQEJMESorC5ePEiarUaV1dX+vTpg7u7O1qtlgsXLhR0aEIIYRCDE6z7\n9+9TuXLlTMvLly/Ps2fPjBKUEEJkJSEh4aV7sHTPe/LkidHiEkK8vMuXLwPg7e2NSqXC29sbgAsX\nLqDVagsyNCGEMIjBCZa3tzc7d+7UW6bValm9erWUPBZC5KknT54oX7Rym2CVLl0aQIYdCVGIxMTE\n8ODBA1QqFR4eHgB4eHhgZmbGkydPpMdZCPFKMbiK4NSpUxk6dChHjx4lJSWFGTNmcOvWLZKSklix\nYkVexCiEEMD/9zrZ2NhgaWmZq304OzsD6V/ohBCFw82bNwEoV64ctra2AFhYWFChQgXCw8MJCwuj\nVKlSBRmiEELkmMEJVrVq1fj111/Zs2cPYWFhqNVqfH19efPNN5UPRSGEyAu6BEt3H1VulC1bFki/\noV4IUTjcvn0bADc3N73llSpVIjw8nPDwcJo0aVIQoQkhhMFyNQ+WpaUlderUoXjx4piYmFC9enVJ\nroQQeSotLY3Y2Fgg98MD4f8TrJSUFBISErCxsTFKfEKI3Lt16xYAFStW1FteuXJlfv/9d27fvi2T\nDwshXhkGJ1jR0dGMHj2a4OBg7Ozs0Gg0xMXF0bx5cxYuXEjx4sXzIk4hRBGXsYLgywwVKlWqFKam\npqjVaqKiojJdMRdC5K/Y2FiePXuGSqWifPnyeutKly6Nubk5KSkpREdHK/dQCiFEYWbwpaApU6Zg\nbm7OwYMHOXnyJKdPn+bAgQMkJSXx+eef50GIQgiRPgfWy5Zoh/T7t3S9VlFRUUaJTQiRe/fv3wfA\nyckp072VJiYmuLi4AHDv3r18j00IIXLD4ATr1KlTTJs2DVdXV2WZm5sbU6dOlRnXhRB5Jikp6aVL\ntANYW1srQ5ofPHhglNiEELmnS5zKlSuX5XrdckmwhBCvCoMTrPLlyxMaGppp+f3795WrTK86rVZL\ncnJyQYchhMjAWD1Y5ubmSg+W7sq5EKLg6P4Os/sOIQmWEOJVY/A9WL169WLGjBlcvnyZunXrYmZm\nxtWrV1m3bh1+fn56c2T16NHDqMHmh7t37xIYGMjz58/x8PCgV69emJqaFnRYQhR5iYmJRunBUqlU\n2NnZAdKDJURh8PDhQ7RaLXv27OHTTz/Fx8eHKVOmYGFhAfx/gvXo0SNSU1MxNzcvyHCFEOI/GZxg\nrV27luLFi/Prr7/y66+/KsttbW31lqlUqpdOsB49esScOXM4ceIElpaWdOnShY8++ijL+W+GDx/O\n4cOH9ZZ9//33tGnTJsfHS0xMZPPmzcpV8qtXr3L48GHat2//Uq9DCPHyjNWDBeDg4ABAZGTkS8cl\nhMi9+Ph44uPjOX36NPv37wfgyJEjhIeHs379egDs7OwoVqwYcXFxPHjwgAoVKhRkyEII8Z8MTrD+\nncTkFa1Wy5gxY7Czs2Pjxo3ExMQwefJkTExM+PTTTzNtHxYWRkBAAE2bNlWW2dvbG3TMo0ePkpCQ\ngJOTE82aNWP37t2cPHmSZs2aSRl6IQqYsXqwQBIsIQqLyMhIkpOTOXToEABNmzbl5MmTbNiwgV69\netGjRw9UKhXlypUjNDSUe/fuSYIlhCj0DLoHKzo6GrVarTy+cuUKq1evZufOncqVZWMJDw8nODiY\nuXPnUrVqVRo0aMCYMWPYu3dvpm1TUlK4e/cuXl5elCpVSvnRDS/IicTERIKCggDo1KkTderUwcXF\nBbVazdmzZ432uoQQuZOQkGC0HizdRMXR0dEvHZcQIvciIyO5cuUKycnJVKtWjWPHjvHJJ58AMGnS\nJOU7h26YoNw3KYR4FeQowYqPj2fYsGH4+PgokwHu2LGDt956i/Xr17N8+XK6devGw4cPjRZYqVKl\nWLlyJU5OTnrL4+LiMm0bHh6e5fwZhggODiY1NRVnZ2cqVaqESqWiQYMGQHoiKYQoWAkJCUbrwdJ9\nrjx+/Pil4xJC5F5kZCQXLlwAYODAgZiYmDBx4kRKlChBSEgIgYGBwP9PEC73TQohXgU5GiL47bff\ncu/ePTZu3EilSpVISEhgzpw51K5dm/Xr12Nubs706dP56quv+Oqrr4wSmJ2dHT4+PspjjUbDhg0b\naNKkSaZtw8PDKVasGJ988gmnTp2iTJkyjB49mlatWr3wGBqNRrk6dv78eQDq1auHRqMBoEqVKqhU\nKh49ekR0dDQlSpQwymsTRYeufWXs+RW58/TpU1JTU4H0IX4vc051CdazZ89em/dG2prIL8ZsaxER\nEdy+fRtIL6KlVqspVqwYo0aNYtasWXzzzTf07t1bmVz88ePHJCYmGjRCRby65HNN5Bfdd39jyVGC\n9dtvv/HFF19Qr149AI4dO0Z8fDz+/v5KNR8/Pz8++OADowaXUUBAAFeuXGHbtm2Z1oWHh5OUlESL\nFi0YOnQoBw8eZPjw4fz00094eXllu8/evXvz+PFjSpQogUajoUKFCiQmJhIcHKxs4+joyOPHjzly\n5AiVKlXKk9cmXn8XL14s6BBeeXfv3gXSJx69efMmKpUq1/syMUnvvH/y5Ine3/vrQNqayC8v29a0\nWi2nT59Go9FQunRpYmNjlb/H5s2bY2ZmxokTJ9i4cSO1atXC0tKS5ORk/v77b7ngWcTI55p41eQo\nwYqKitK7qfSff/7B1NSUFi1aKMucnJyU4TvGFhAQwNq1a1m4cCHVqlXLtH7EiBH4+/srRS1q1KjB\n5cuX2bp16wsTrDt37mSa02vHjh0MGTKEjz76iLJly5KQkMDhw4dJS0ujTp06xn1hRYBarWbHjh0E\nBQXh4+ND586dCzqkfKVWq7l48SJeXl5S7v8lbdy4EYASJUpQt27dl9qX7t6rhIQEatWq9VqUfZa2\nJvKLsdpaTEwMN27cAKBjx46Z/q779u3Lxo0bOXjwIAMGDODq1auEhYVRvHhx+X9cRMjnmsgvcXFx\nyueRMeQowXJ2diYiIgIXFxe0Wi1//PEH3t7eelX6goKClDHSxjRr1iw2b95MQEAAHTt2zHIbExOT\nTBUDK1Wq9J8navHixTx+/JhNmzZx+/Zt7t+/z+PHj1m4cCErVqxg2bJltGnThsOHD3Pnzh1MTExe\n6qp5UZOSkkLfvn2VudHmz5/P7NmzmTJlSgFHlv9MTU3ln8NL0Gq1PH36FEi//+plz2WZMmWU3589\ne6b3+FUnbU3kl5dta48fPyYiIgKANm3aZNrXhx9+yMaNG9m6dSsLFy6kbNmyhIWFERkZKW28iJHP\nNZHXdCNbjLa/nGzUvXt35syZw6FDh/jiiy948OAB/fv3V9aHhITw9ddf06lTJ6MGt2TJErZs2cLX\nX39N165ds91u4sSJTJo0SW9ZSEjIfw7pa9q0Kc2bN6dBgwb069ePe/fusW/fPho1akRcXBz+/v5s\n2bIFCwsLkpKSePTokVFeV1GQkpJCnz592LlzJxYWFsp8ZFOnTuX48eMFHJ141SQmJhIfHw+QqfBN\nbhQrVgwbGxsgvYdeCJH/Hj58qBStaNiwYab1DRs2pH79+qSkpLBhwwblQogxC2oJIUReyFGCNXz4\ncJo2bcrkyZPZs2cPY8aM4Y033gBg3rx59OjRg2rVqjF8+HCjBRYWFsZ3333H+++/T/369YmKilJ+\nIP1LUVJSEgBt27Zlz5497Ny5k9u3b7NkyRLOnj3LO++885/H0RW38PDwUCYz/ueff5S5tiZMmKAk\nVrorbSKdVqtl9erV9O3bl1GjRnHo0CE0Gg2xsbH06dOHXbt2YWlpye7duzl8+DCDBg0CYOzYsWi1\n2oINXrxS4uPjlSHIxkiwrK2tlQRLSrULUTCCg4NJSUnB0tKSGjVqZLnNe++9B8Dq1auVBOvRo0dS\n9EAIUajlaIigmZkZkyZNytRLBNCjRw+6detGzZo1jRrYoUOHUKvVLFu2jGXLlumtCw0NpUWLFsyd\nOxc/Pz86dOjA9OnTWbZsGffv36dq1aqsXLkSV1fXFx4jLS2Ny5cvA+iN5zY1NeXLL78kMTGRxYsX\ns2bNGoYOHSrzb2Sg1Wp5//33WbVqlbJs6dKllC1blvj4eJ4/f46lpSW7du1ShnZ++eWXbNmyhVOn\nTvHnn3/+Z5VHIXSMOQcW6CdY0oNVdGg0Gk6dOkVISAgWFhY0bNiQqlWrFnRYRZZu7kkPDw/MzLL+\nOtK/f3/Gjx/PxYsXCQ8Px8LCgpSUFKKjo3F2ds7PcIUQIsdylGC9SPXq1Y0RRyZDhw5l6NCh2a7/\ndzbpGr0AACAASURBVHGK3r1707t3b4OOcfv2bZKTk7G3t8fNzS3T+oCAAI4ePcqFCxc4cuQI7u7u\nBu3/dbZ9+3ZWrVqFqakpY8eOJTY2li1btijDPdzd3Vm7dq1eqX1nZ2cGDRrE999/z6JFiyTBEjkW\nHx+vDBEsXbr0S+/P2toaW1tbQIYbFRUajYatW7fq/e+4fv06vr6+egWbRP7QaDRcu3YNgPr162e7\nnYODA35+fmzatInVq1fTqFEj7ty5w8OHDyXBEkIUWsa9o+sVc/36dQC8vb2zLF5hYWHBkiVLgPQr\nbdevXyclJSVfYyyM0tLS+PjjjwGYPHkyX331FcuXL+fBgwccO3aMQ4cOsWnTJuLj4wkMDOTnn3/m\n4MGDhIaGMmzYMAD27NkjPYIix+Li4pQEyxhfqiwtLZUESyYuLRqOHDlCaGgoZmZmtGvXTplI/tCh\nQ5ku2Im89+TJE+XiRlb3X2WkG16+bds2ZT4suTAihHFptVpCQ0PZv38/J06cIC0traBDeqW9dA/W\nq0w3r463t3e22/j4+NC+fXsOHjzIyZMnefDgQZa9XUXJrl27uHXrFk5OTnrDRmNjY7l161a21Rv/\n+ecfLCws8PT05NKlS6xZs6ZIVhQUhouNjSUuLg4wTg+WSqVSKo8aWrzm2bNn7N27l5s3b+Lg4ICv\nr6/Rh0gL43r06BF///03kF60ydPTE0ivGnXq1Cn27t2Lm5sbVlZWBRlmkRIZGUlkZCTAC6dTAWjd\nujWOjo5ER0crF+YkwRLCeLRaLQcOHODUqVPKsuDgYAYNGiSfi7lUpHuwADw9PXF0dHzhNmPGjAHS\ne7HCw8PzI6xCbfny5QB88MEHWFtbo9VqOXr0KMuXL1eSq/Lly9OsWTM6duxIu3btqFevHg4ODqSk\npCj3PCxfvtzoM2eL15Oxe7AA5e/ekARr9erVuLq64u/vz2effcaYMWOoVasW/v7+yj1iovA5dOgQ\nWq0WDw8PJbkCaN++PSVLliQuLk6qm+az8PBwYmNjAf7zAoW5uTndu3cH4MSJE0B6giXFkoQwjvPn\nzyvJlaenJzY2Njx69Iiff/5Z/s5yqUgnWGZmZjm6D6hz5844OzuTlJTE3r3/x955R0V1rX34maEj\nRRDsBRQULAQ19t672HvitWvsmqgxesUkaowtGlHsGht2xF6jYkNQQAURqYJIZ+h1Zn9/sDhfiCBF\nNMkNz1qslThn9tkzc84++22/9/wnmNnfF4VCwe+//w7A+PHjUSqVnDlzhtu3byOEoGHDhsyePZuJ\nEyfSo0cPWrduTbt27RgwYABz5sxh5MiRtGrVCm1tbcLCwjh27Nhf/InK+SfwxwhWWRlYeWIZxRW5\ncHR0ZNKkSaSmpmJqasqAAQPo3bs3MpmMQ4cOMWDAgPKUir8hUVFRvHr1CplMRrdu3fK9pq6uTteu\nXQFwc3OTlCrL+fjkCVxUrlyZihUrFnn80KFDAbh8+TIAGRkZJCYmfrwJllPOv4SMjAyuXbsG5EaL\nBw0axLhx41BTU8Pf358XL178xTP8Z/KvNrA6dOhQLMlnNTU1Bg4cCCAZF6UhIyODc+fOcfr0aWmz\n+E/j0qVL5OTkYG1tjYWFBRcuXODZs2fI5XIGDBjA8OHDC40IymQyrKysmD17Nu3atQNylQXzvJjl\nlFMYCoVC2vyWlYGVl2oYFxdX5LGvXr1i9uzZALRr144ZM2bQvHlz1qxZw+3bt9HT0+PmzZusWrWq\nTOZWTtmRlxrYsGHDAhUora2tqVKlCpmZmeVRrE+Ir68vUHyhrO7du2NgYMDbt2+laHF5/WQ55Xw4\njx49Ii0tDR0dHbZs2YKGhgYdOnSQ9nJ5LXjKKRn/agOrXr16xT72yy+/BOD58+fF2pD9GT8/P5o0\nacLAgQMZOnQoNjY2BAcHl3icv5qzZ88CuXUMDx48wNPTE5lMxogRI2jWrFmxxtDV1WXt2rVA7ve5\nY8eO8p4m/1CEELx69YqXL19+1DSCvHoLuVxeJjLt8P+GmkKhKPLY+fPnk5OTQ7169fj111/p2LEj\nAFeuXKFZs2ZS2uxPP/1U3i/vb0RCQgLPnz8HoGXLluzatQs7Ozv69evH+vXrSUpKQiaTSZkMbm5u\nZGZm/pVT/leQk5MjPf/eVwP9R7S0tOjXrx+Q2ycTyuuwyinnQ8nOzsbNzQ0hBC4uLpw+fRohBIGB\ngSxatIi0tDTi4+OllkYlQQjBmzdvCA0N/Vdmd/yrDayS0K5dOwwNDcnOzubixYslem9UVBQ9evQg\nICAAExMTKlWqRHBwMIMHD/5HGRZZWVlcunQJgDZt2nD9+nUAevbsWWK5/ubNm9OiRQtUKhWXL1+W\nvMx/J1QqFSkpKeWem0Lw9PSkadOm1K9fHysrK2xsbHj27FmZn0epVErNgE1MTFBTUyuTcatXrw5A\nYmLie39jf39/Lly4AMCECROwtbWlS5cuUtqwm5sbo0ePpmPHjmRkZLBmzZoymV85H87jx48RQlC5\ncmXGjBnD1KlTcXFx4eLFi3zzzTd89tlneHl5YWVlhYmJCVlZWTx58uSvnvb/PLGxsZLARdOmTYv9\nvryeinkpS+UGVjnlfBgvXrwgLS2NgIAA7t27J/UvbdeuHampqVy/fh0hBK6uriVyosbHx7Nz5052\n797N/v37cXBwkITl/i2UG1jFRCaTSZ62q1evFvt9QggmT55MeHg4DRo0wNfXl6dPn1KxYkW8vb3z\nNer9u3Pr1i2SkpKoWrUqoaGhCCFo3LgxrVq1KtV4X331FQBPnjzh1q1b0ib6r0YIwf3791m/fj0b\nNmxgw4YNuLu7lxd6/gFPT086duyIt7c3ampqqKur8/z5czp16lSoimRp+aPARdWqVcts3Bo1agC5\nBtz7otIODg4A1K9fHzs7O2QyGXK5XIpieXh4kJ2dzYoVKwA4ePAgSUlJZTbPckqHUqnEy8uLnJwc\n9uzZw7179zA0NGTVqlVs3rwZc3NzQkJC6NatGy9fvqR169ZAbhSr3KnycYmMjJQMrD+KjhRFXg2d\nn58f6enp5QZWOeV8IF5eXqhUKu7cuQPA8uXLGThwIAcPHkRLS4snT54QHh5OTExMsdtZZGRk8Ntv\nvxEZGYmGhgba2tooFAoOHz5c7Jrn/wXKDawSkNc0tyR5+i4uLpw/fx4NDQ1OnTqFqakp1atXlzZj\nmzZt+sds3PPSA5s1a0Z8fDwVKlSgT58+BfYQKw7Dhw/HwMCAhIQEAgMDuXDhwl/+XQghOHv2LNeu\nXZNqftLS0rh48eIH1d/9L5Gamsrw4cNJSUmhTp06LFy4kPnz59OoUSMSEhIYPXp0mUZmk5KSpDq9\nsmwsamRkJPXCKqwnm1Kp5OjRo0Bu1NbKykp6zcrKCiMjI9LT0/Hy8qJLly5YW1uTkpLCwYMHy2ye\n5ZQOPz8/UlNTefDgAY8fP8bAwABXV1eWLl3KnDlzePLkCS1btiQ+Pp5hw4ZhYWGBrq4uiYmJ+Pn5\n/dXT/5/m5cuXktOkJC0OatasiZWVFSqVitDQ0HxrQznllFMyFAoFwcHB+Pv7ExYWhpGRkaSabW5u\nztSpUwFwd3cHcutZi7NHu3z5MomJiRgZGTF79mzmzZtHrVq1yMjIwNnZ+V/jwCo3sEpA3759gVx5\n2YSEhCKPF0JIhtTChQtp1KiR9NqkSZPQ09PDz8+P27dvf5wJlyF5+bnw//LW/fr1Q1dXt9RjVqhQ\ngXHjxgG5UayQkBApt/6v4vbt23h7eyOTyejbty9Lly6VvKaurq5SYfa/mY0bNxIYGIiBgQHTp0+n\nRYsWVKhQgb59+6Kvr4+Hhwf79u0rs/MpFAopIlSrVq0yG1dPTw89PT2g8GJ5V1dXYmJi0NbWpm/f\nvqir/3/rQLlcTps2bYBcp4sQQorKbtu27S93Fvzbefz4MdHR0dy6dQuAPXv25Ou3VLFiRVxcXKha\ntSo+Pj6sXbtWaj5cLnbxcclTEKxevbp0DxaXvPU47559/fp12U6unHLegxCiyLTyfwpeXl7A/6fc\nTpkyBX19fen1xYsXo66uztOnT4mKiiI8PLzIGuMXL15Ie6hBgwahr6+PlpYWw4cPR1tbm4iICOn+\nLwuSk5OJjY39W/4e5QZWCWjatCkmJiYIIbhy5UqRx587dw5vb2/09PSYOXMmHh4ePHr0iNTUVPT1\n9Rk9ejTAP0KqPC9MrKWlRZ06dahXr14+b35pyfOQ+Pn5kZKSIuX7/hWEhoZKxu7AgQNp0aIFGhoa\ntG/fnrZt2wJw4cKFf6SUc1ZWFi9evCA+Pv6DxlEoFKxbtw7I7SE0fvx4hg4dipmZGRUqVJCklNes\nWVNmUayPaWDlPUwKyw0/c+YMkButKiiVydbWVkp/CAwM5IsvvqBChQr4+vri6upaZnP9EKKjozl5\n8iQbNmxg06ZNODs7/8+nacTHxxMcHMytW7dQKpUMHDiQYcOGvXNclSpVcHR0BGDdunUYGxujpqZG\neHj4v65e4FMhhJAK5otqMFwQ3bt3B5BSkcsNrP8nKyuL4OBgnj17RlBQEFlZWUBuFoa/v7+U2l9O\n6Thx4gR169alYsWKVKtWjU2bNv0tN/bFQQiBl5cXiYmJPH36FIDJkyfnO6ZGjRqMGDECQIrqv69e\nPiUlRWpl1LZtW2rXri29pq+vL4kJubq6fvD+ICYmhv3797Nx40YcHBxYv349Dx8+/Ftd3+UGVgnQ\n0dHB2toaoMh+WEIIvv/+eyA3WnXixAkuXLjApUuXcHBwICIigiFDhgC5aYR/p4uiIPLSA+vWrYum\npia9evUqdWrgH/nss89o2bIlOTk5+Pj4EBUVJal+fUpycnI4d+4ckLtptrW1RaVSERwcTFJSEl27\ndsXU1JS0tLR/RMTxj5w9exZzc3MaNmxItWrVWLZsWamvtwMHDpCcnIypqSkjRoygWrVqyGQyadNT\no0YNjIyMCAoKwtnZuUzmn5CQIPW7qVmzZpmMCbkRVAMDAyDXuC6IvHrL+vXrY25u/s7rGhoa2Nra\nArm1WIaGhpLjZO/evWU219Ly9OlTdu7ciY+PDykpKSQlJeHt7Y2joyOPHj362687peXx48dERUVJ\nEecff/yx0GPt7Ozo1asXOTk5bNy4Udr05zW0LadsSUxM5M2bN0Cu2FFJ6dy5M3K5nDdv3pCYmFiu\n2klu2vaFCxdYv349v/32G6dPn2bXrl2MHDmSJk2aYGBgQIMGDTAzM6NKlSp899135fVrJcTR0ZER\nI0YQEhIC5DquFixYwPjx4/+RRlZwcLCUDi2EoEOHDlhaWr5z3Lx58wC4e/cuycnJ+Pv7F3jtCCE4\nd+4caWlpVKlShS5durxzTPPmzdHT0yMxMVGKnpWG169fs2vXLum5ra6uTnp6OleuXOHUqVN/m9+j\n3MAqIXmCDkWp3rm6uvL48WN0dXWpWrUqSUlJGBgYSDUbR44coWXLlujp6REREfG3V67KM7AaNGhA\nixYtMDU1LbOxp0yZAuSmjeTk5HD79u1PfoPcuXOHuLg49PT06NWrF76+vjRt2pS6detStWpVHBwc\nJAUrDw+Pf0yDy7179zJkyBAiIiKQy+VkZWWxatUq/vOf/5CdnV2isYQQbNu2DciVvM4TBYBcw6pW\nrVpoaGgwYMAAIDciUBYb+MTExI8SwZLJZFIfvIK84G/fvpW8dq1bt0ZHR6fAcfI2if7+/igUCiZN\nmgTkejv/SrGLFy9ecObMGZRKJZaWlkyYMIEvv/wSS0tLVCoVly5dwsXF5R+lZFoccnJy8PLykhwh\nw4cPLzJS8sMPPwBw6NAhKQXa19f3H3Of/5OIjIwkKioKQHJOlISKFStK91xwcDCRkZH/Wml9pVLJ\ngwcP+PXXX/Hw8CArKwuFQsGNGzfYuHEjzs7OPH/+HKVSiZ6eHhoaGsTExLB69Wrq1q3LkiVLilXu\n8G/Hzc1N6oM4d+5c4uLi2LZtG+rq6hw6dIilS5f+xTMsOXkGTp5wxdixYws8rkWLFrRr147s7GzJ\nuLxx40aB4/n7+6OmpsbgwYMLVPvV0NCQeqCWJop1+/ZtBg8eTIcOHTh+/DhZWVnMmzePb7/9lr59\n+yKXy/Hx8eHSpUt/C+dhuYFVQjp37gxASEiIpIJUELt27QKgS5cuZGZmoqenx7Rp05g2bRqmpqak\npqby+++/07NnTwCpvqmsyMjI4Pr16+zbt49z58590CIaHBzM06dPkclk2NjYSN9BWTF27FiqVq1K\nZGQkPj4+xMXFlarnQmmJioqSDOa+ffsSHx9P9+7dpbB5eno6c+fO5f79+9SpUwelUikp7nwqcnJy\nuHnzJps3b2bLli3cuHGD0NBQDhw4wJYtW3B1dc1nlAohWL9+PZMmTUKlUjFx4kR27dolGT+//fYb\n3377LRkZGcWeg7e3N/7+/qirq9OlS5d3jJ28+pV69eqhqamJm5tbmcjv/zGCVZYGFvy/aEZB6WA3\nb94EoFq1au9VOjMxMZGiW0+ePKFVq1ZYW1uTlpbG8ePHy3S+xeX169ds2rSJhIQEmjVrxujRo6ld\nuzbm5uaMHj2aHj16IJPJ8PLy4ujRo1Iq0f8CPj4+BAUF4evri0wm47///W+R72nRogUDBw5EpVKx\nbds2zM3NEULg5ub2CWb87+LNmzfSs9PGxqZUY+R5xyMiIhBC/OvSOYUQ+Pr6sn37dq5evUp6ejqB\ngYEcO3aMX375BVdXV7KysrCwsGDgwIHMnTuXr7/+GhcXF06cOEGrVq1IT09n7dq11K1blxkzZuDs\n7ExYWNjfYmP6d0KlUjFr1ixycnIYMWIEmzZtwtjYmBkzZnDgwAEA1q5dW6DR8XclPT0dX19foqOj\nCQoKQkNDo8AU6jzmz58PIKVcBwQE5KtHj42N5fLlywBSC5PCaN68ORUqVCAxMbFE+7zVq1fTuXNn\nnJ2def36Nd7e3qxevZr58+eTmZlJixYtpM+QV45TEnJycsq8cXm5gVVCrK2tqVy5MpAbMi2I+Ph4\nTpw4AUCdOnWA3P4durq6aGlpMWjQIABJ1hqQ0tM+lJycHDZs2EC1atXo0aMHEydOZODAgdSoUYNF\nixaVqn7o5MmT0mfp169foZ780qKjo8O3334L5EYGc3JyuHPnzidZ6FUqFS4uLqhUKqytrTEzM2PQ\noEG8ffsWa2trIiMjWbRoEQBz5syRNgSenp4fXM9UXHJycjh06BCurq4oFApiYmKwt7fHwsKC//zn\nP8ydO5eOHTtiZmbGsmXLOHHiBCNHjuSbb74B4JtvvqFnz56EhYXRunVryag/dOhQiQz7vGvawsKC\nzz///J0U0YYNG6Kjo4MQgoEDBwK5KpkfgkqlIjo6WvJQl7WBldcLq6CFNa/Pm7m5eYHpgX8kz7h8\n8uSJZNACf0kbhitXrtC4cWN27drF5s2bOXnyJGlpadLrMpmMtm3bMnr0aDQ0NAgMDOTAgQOSqlse\nvr6+zJgxA1tbW/r161fi/n9/Fe7u7vmiV8WVAV+5ciWQWxObt8Y/efLkXxsdKQ7BwcGcP3++RAbO\n06dPycnJQUtLCwsLi1KdN8/AyvOo/y/UYeXk5BAQEMD169c5e/YsZ86c4erVqzx48IBnz57x6tUr\nnj9/zvXr13FwcODEiRPExcURHx+Pk5MTBw8exM/PD21tbcaPH8+9e/fw9/fnxIkTUgq3m5sbSUlJ\nXL58GRcXFxo3boxCocDR0ZHBgwdTu3ZtjI2NGT58+AelcP0vcfDgQTw8PNDX12fLli35nnt5vfUA\nvvzyy0+2J/hQnj59ilKpJCgoCIDevXtTqVKlQo8fNGgQZmZmxMXFSc8JFxcXXr9+TUxMDEeOHCEr\nK4s6depIwk+FoaGhQcuWLQG4f/9+sfZ5+/fv57vvvgNytRBGjRrF2LFjkclk7Nu3j44dO/LmzRus\nra3p0aMHkPscLEn68JkzZ6R+l2VFuYFVQqpXry4ZTYV5LA4dOkRmZib16tXD1NSUypUr51MQrF69\nuvT/2trayOVyPD09PziXPDQ0lJYtW/L111+jUCioUaMGvXr1on79+qSnp7Nu3To6depU4n5TeZLT\nn3/+ubSRLGumTp1K9erViY6Oxtvbm9jY2E+i2Ofm5kZERARaWlr07t2bqVOn4u7ujrGxMefOnaNK\nlSqsXr2apk2bolAo2LVrFxYWFlLjvU/BhQsXCA0NRUtLi65du3LlyhXu3r1LTk4O5ubmDBo0CAMD\nA8LCwli1ahUjRozgxIkTqKmpsX79ekaMGIGfnx9qamqMGzeOI0eOoKenR1RUFCdPnsTf37/IOQgh\npGhMw4YNC9y0qqurS73i8hbQM2fOfJAypEKhkKKvhoaG+RSOyoK8e/nPOeVCCMnAqlevXr5i3YJo\n0KABenp6pKam4ufnxxdffIGamhoPHz78pMqTz549Y9CgQSQnJ6OlpQXkRivzHkB/xNLSki+//BId\nHR0iIiLYvXs3/v7+nD17lh49etCoUSMcHR3x9vbm4sWL9OvXj8WLF/+tPdxv3rzh8ePHvHjxotjR\nqzxsbW0ZMGAAQgiOHTuGiYkJmZmZZaoomJSUhL+/PwEBAf9IsZw8srOzWbt2LZaWlgwYMAAzMzN+\n/PHHYl0b3t7eQO49U9qm4e3bt0ddXZ3o6GgSEhIkQ+ufiFKpZMeOHVhbW9OsWTOmT5/OhQsXePr0\nKQ8ePODq1aucPn2aI0eOcOrUKe7du0dcXBxaWlpoamqyc+dO/P39MTIyYsOGDURERLB//37atm2L\nTCZDU1OT/v37M2zYMLS0tAgLC8PR0RE9PT3u3LnD+fPnmTFjBlZWVqirq6NQKDh58iSff/45a9eu\n/au/njIjr6ba3d2dFy9eFMtxkpKSIjl/ly1bRpUqVVAqlYSGhvLq1SvS0tLYuHEjVlZWRERESEbA\n3xkhhOQIzMvSGTNmzHvfo6amJqVIXr58mdq1a5OZmcm+ffvYtm0bCQkJVKxYkWHDhiGXy0lPT+fR\no0f8/vvvBAcHv7Mu5AmIRUVFSUZeYYSGhjJz5kwg17FiZ2fHokWLOHToENevX6dSpUp4eHjQoUMH\nQkJCaNOmDY0bN0YI8Y5z8X3n8Pb2LvO6xHIDq4Roa2tL+fwF9UUSQkjpgba2tshkMlq1avWOt79z\n587IZDLevn1Ls2bNAD7IQ+zl5UWbNm3w9PTE2NiYPXv28Pr1ay5fvoyfnx8uLi5UqlQJd3d3+vXr\nV6yLLm/cPNGJuXPnIpd/nEtGW1ub5cuXA7lh6NTUVG7fvv1RN3NRUVGSkdyjRw/27NnDoUOHUFNT\n4+TJk9SrVw/IXVw2b94MwO7du6lbty6Q6wX62Pnr/v7+eHl5IZPJaN++PTNmzMDd3R09PT1Gjx7N\n+PHjmT59OpGRkTg5OTF8+HBatWrFuHHjePjwIePHj5cUL7t27Urt2rWpVKkSCxcuBHKv4Rs3bhT5\nPT9//pyAgADU1NTo0KFDod6uvNqI9PR0unfvjhCCLVu2vHNcbGws9+/fL9LjFx0dLR1TVBSpNNSv\nXx/ITUP84z0RGBhIeHg4crmctm3boqmp+d5x1NTUpPv43r17VK5cmf79+wOfTuwiOTmZ7777juzs\nbBo0aMD169dxdXXF1NRU6vl0+fJl4uPjefToEZs3b2bhwoVs376dn376iXnz5tGgQQMGDRrE9evX\nkcvlDB48mOPHj0u9UX7++WdWr179ST5PaXjw4IEkyz5ixIh8jq3ikLdBOnjwoHRt3L9/n5SUlA+a\nV56Xd9OmTRw9epTDhw+zfv16zp8//48ztIQQzJgxI1+WhlKpZPny5axfv/69701OTiY4OBjI9USX\nFj09PVq0aAHkRrHCwsL+cd8j5K6DM2bMYMaMGQQEBJCcnExgYCD79+9HS0uL1q1b06hRI8zMzKha\ntSpmZmbY2NgwZMgQ2rZty/fff09GRgb9+vXD39+fBQsWYGRkVOC5GjVqxLRp06hevTqZmZncuXOH\nLVu24OHhQZUqVRg1ahRLlixhypQpWFtbo1QqWbJkCVOnTv3H9xoLDw9n+/bt/Pbbb1y8eJHjx4+z\nefNmycAojLVr1/L27Vvq1q3L3LlzefnyJVu2bGH//v3S/ezl5SUpke7YseOT1dPntc756quvmDVr\nFhcuXChW7Xpeiu6bN2+IiIhAX19fyjh5H5MmTUJfXx9fX1/kcnm+ulZLS0upHOGbb76hUqVKtGrV\niq5du1K3bl0aN26Mk5OTtM/Q0dGR7v/79++/97xLly4lLS0NKysrOnToQK1ataTaza5du+Lu7k69\nevUIDg6mU6dOBAYG0r9/f4yNjUlKSsLZ2fm9+xulUsnFixdxdnaWtAbKinIDqxS0b98eyJWt/HMR\ntJubG8+fP5fSH7S0tAr09puYmEjpZnkb9tIaWE+fPqVLly68ffuWxo0b4+3tzcSJEyVjSCaTMWDA\nAFxdXTE2NubRo0dS2tv7yM7O5qeffkIIgYWFhfS5PxaTJ0/GxsaG5ORk7ty5Q0xMjNSfoazJzs7m\n9OnTKJVKLCwsuH//vmR0bNy48R0FnA4dOtCjRw9ycnLYs2cP9erVQ6VSfdQollKplPKaq1WrxujR\no/Hx8aF69ercvXtX2gw+fPiQwMBARo4cyfHjx3n48CEHDx7E1taWU6dOSZGuP4bu58+fj5GREbGx\nsdy4cYNXr169dy55aaJ56YGFYWJiQq1atRBC0KdPHyA3TS4veqJUKrG3t6dmzZq0a9eOmjVrsnXr\n1kLHi46OJi4uDqBM2gL8mVq1aqGtrQ2Qz5OWV39Vq1YtGjRoUKyxWrZsiYaGBm/fviUgIEBKE9y7\nd+8nEbtYsGABERERGBoaMmPGDNq2bUv79u1xc3OjYcOGRERE0KdPH+nhN2/ePI4fP05ISEi+Wjx9\nfX06duzI/v372blzJ8OHD2fz5s3S77R8+XIpuvd3Ijo6muvXr+Pn51fi6FUerVq1okePHiiVzvZ/\n2wAAIABJREFUSk6dOkWNGjXIzs6WjLbS8OzZM5YuXcratWv55Zdf2LBhA7/99hsPHz7Ezc2NnTt3\nStd4SUlISMDNzQ13d/d3Ujw/BkIIVq9ezf79+5HJZEycOJE9e/ZIkY5vv/32vallYWFhksDFhxhY\n8P9pgm/fvkUIUeQa9nfj5cuXLFiwgD179iCEoFu3bty4cQM7Ozuys7NZuXIllSpVYtiwYYwfP55p\n06Yxfvx4Bg8eTM2aNfnyyy8l48rZ2VkS7HkfRkZGTJo0ieHDh1OrVq18jl91dXWqVq1K586d+fnn\nn6V63b1797Js2bL31pz/nXnx4gX79+8nNjYWbW1tGjRoIImNnTlzplAHY2hoqOQwWL9+PU+ePMHJ\nyYmkpCR0dXUxMjIiJyeH69evk5mZyZgxYxBCMHPmzI8u0pWcnEz//v2xs7Nj+/btODg40L9/f3r0\n6FHk75QXkc+L+o4YMaJY/UwNDQ2lfeN3331Hp06dWLJkCYsWLWLUqFGcOnWK+vXrs379etLT06lc\nuTLW1tZoaGjg6+vL6NGjGThwoNQipE2bNshkMoKCggqtfXJ3d+fIkSMAdOzYEblcTp8+ffJdt+bm\n5ty+fZsGDRrw+vVrOnXqRHBwMMOHD0dNTY1Xr16914hzc3PjyZMn+Pj4lH0AQfwLSU1NFR4eHiIp\nKalU7/f09BTGxsYCEOfPn8/32sSJEwUgOnToIOzt7cWlS5cKHScmJkbY29uLadOmCUDo6uqK9PT0\nEs3l1atXokqVKgIQbdq0EQkJCe89/urVqwIQgLh27dp7jz179qyoXbu2AMSaNWtKNK/ScuvWLQEI\nuVwupk2bJrZt2yZUKlWZjJ2TkyMeP34stm7dKuzs7MTnn38ubG1thbW1tfSdfPXVV4We7/79+wIQ\nampq4s6dO8Le3l58//337/3Oc3JyhIeHh8jJySnxfB8+fCjs7e3FV199JYyMjAQgrKysRGhoqHTM\ntWvXhL29vVi1apWIiorK9/7Lly8Le3t7sXbtWpGYmPjO+N9//70ARJUqVcT+/fvfO5e872jQoEEi\nPj7+vcd6enoKe3t78csvv4i2bdsKQPTp00eEhYWJPn36SN+1vr6+9N+7d+8ucKwTJ06Ipk2bCkCs\nWLHivectDdHR0aJatWoCEM7OztK/jxgxQgCic+fOIjg4uNjjXblyRdjb24tdu3aJ7OxsYWVlJQCx\natWqMp/7Hzl+/Lj0XU6cOFFERETke12hUIjZs2eLihUrCkBUqlRJ9OvXT6xatUrcuHFD+Pn5iYiI\nCOHu7i62bNki7O3tpb+9e/cKT09PkZmZKSZPniwAUbly5XfO8Vdz/PhxUa9ePQGIUaNGlXqc27dv\nC0BoampK96C9vb0IDAws0TgqlUqcPXtWNG7cWPpt/vxXtWpVMWfOHLF27VoRHh5e7LE9PDxE3759\nhVwul8bS1NQUo0aNEq9evSrpRy4WaWlpwtHRUWhpaQlAdOvWTfpu8tZUQLRu3brQNfTSpUvSNXjz\n5s0Pms+1a9eka3nFihXi6NGjHzTep+Tx48di7Nix0u83fPhw6RmRnZ0t+vXrJwBRu3ZtERMTk++9\nKpVKDBkyRACibt26Ba7txSUrK0ukpKSIlJSUd34zpVIpevfuLQBhaGgoVq5c+c5cPgUf8gz18/MT\n33//vbC3txdOTk7S/kqpVIobN25I16+zs7NQKpX53jts2DABiC5duoh79+5Jx164cEFkZWUJlUol\n3NzcpH+/cuWKqFChggDEkSNHyuSzF0RmZqbo1KmTAISOjo6YOXOmmDlzptDV1RWAaNKkSaG/U3R0\ntLC3txdLly4Venp6AhC3b98u9rnT0tKEpaWlAES7du2En5+fuHnzpmjdurW0DllaWorz589L15NC\noRArV64UmpqaAhD169eX9jAnT54U9vb24tSpU++cS6VSiQ4dOghAtGrVStjb24tz584VOre3b9+K\nhg0bSs8nLy8v4eHhIezt7cXKlSvF69ev33lPbGys+OGHH0SNGjUEIBYuXCg8PDxEampqsb+T91Fu\nYJWChIQE0axZMwGImTNnSv+emJgoXeQTJ04U9vb2RS5Ix48fFytWrJAMtitXrhR7HuHh4aJOnToC\nEDY2NgVufFNTU8WzZ8/ExYsXxZkzZ4Szs7O0ONeqVUskJycXOLa7u7uYP3++dNOEhYUVe14fysiR\nIwUgzMzMxIoVK4Svr+8HjffixQuxePFiUb169UI3Ojo6OmLDhg1FGnN5BsL48ePFgQMHhL29vTh7\n9myhx5f24ZCRkSF+/vlnMWrUKGlD06ZNGxEbG5vvOKVSKc1j48aNIiYmRqhUKvHo0SNp4ffz8yvw\nHPHx8dIiO2bMGBEZGVngcS9fvpSM3k2bNhU598zMTLF69Wphb28vzp8/Ly2seX/a2tri4MGDQqVS\niW+//VZyLhS0gXVwcBC1atUSwEfZQOXk5Egb4DwjSKlUChMTEwGIyZMni+zs7GKPl5ycLH788Udh\nb28vfH19xaFDhwQgjI2NS73eFEVoaKi0aW3fvv17nToqlapIJ45SqRQvXrwQR44cEStXrpSuo3Xr\n1okHDx4IGxsbAYiuXbuWatPzMXj79q0YNWqUZGgEBAR80Hh5D/ZJkyYJFxcXYW9vLzZs2FDsB29G\nRobYuHGjMDU1le6dCRMmiBs3bghPT0+xefNmUblyZcnRMHnyZLF69eoCNwF/Zt26dfkMq4oVK0oO\nmLy1bN26de9sGD+EoKAgsX79emFhYSE5eq5evSqePn0qNmzYIOzt7cXq1auFjo6OAArdCK1bt06a\nZ1GOmqJIT0+XnrfTp08XK1euLPR5JkTudf3s2TNx5swZcejQIeHi4iL8/f3LzIFXHFQqlbh165YY\nN26cUFNTk4yrP68xCoVC2sh27949333m4OAgAKGhoSHc3d0/6nwVCoXktGjYsKHYsGHDe7/jj0Fp\nn6GvXr0SP/zwg7C3txcnT57Mdz+8fv1auLm5CWdnZ7FixQrpmLxzHDlyRHKm7t27V1oDb968+c71\ncuvWLWFvby/WrFkjli1bJu2t0tLSPvzDF8C8efOkdePRo0fSv/v6+krOQltbW6FQKPK9T6VSiUOH\nDgl7e3sxa9YsAQhzc/MSrxPe3t75nKN5f3p6emLt2rUiIyOjwPc9e/ZMctjXrFlTBAcHi4iICMkA\n+rOj+vTp09J6Pn/+fPHTTz8Vuf5GR0cLW1tbaV28f/++ZMRt2LAh3/4pNTVVODg4iP79+0vfZ1BQ\nUJkaWOUpgqWgYsWKUnrD2bNnpfDykSNHSEtLo06dOtSqVQszM7Miw/bt27dHJpNhZmYGUGwVk9jY\nWHr06EFoaCgWFhZcvXo1X+71mzdvOHPmDBs3buTUqVM8evQIb29vvLy8sLKyomLFioSFhTF58mQi\nIyOlz5CTk8Pvv//OhQsXJAnNDh06lGmD16JYt24durq6hISE8OTJk1LVYgkhuHXrFn379sXa2pq1\na9cSERGBjo4O9erVo1WrVsycOZNNmzZx5MgRwsPDWbBgQZHNk/OUxg4ePCgJJHh6epa5TPC9e/e4\nffs2x44dIzMzk/79+0sFnX9ELpczdOhQKlWqRFJSEo6Ojvz6669Summ7du0KTXEzMjJi+vTpQK4i\nZmGNVc+cOQOAmZmZJF7xPjQ1NaX0V4VCgYuLi9Q3rWnTpty7d49x48YRHx/P4MGDadGiBWlpaSxZ\nsiTfOGlpacTExEiiLMVN1SsJampqVKtWDfj/TvU+Pj7ExsaioaFBmzZtUFdXL/Z4enp6Uirm5cuX\nGThwIJaWlsTHxxdZn1IaEhISGDRokCRq06dPH0mZtCBkMpmUElkYcrkcKysrRo8ezbx58+jatSsV\nK1YkNTWVK1euMGbMGHR1dbl58yY//fRTWX+kEqNSqTh9+rSUTvv1119L9ZOlJe9z7d27FyMjI0xM\nTEhOTub48eNF9o+LjY1l/vz5fPvtt8TExGBqasq9e/fYu3cvXbt2xdbWljlz5uDp6UnTpk1JTk7m\n8OHDhISEcOjQoUKbXgshmDt3Lt988w0qlYpGjRoxa9Ys5s2bx5w5c5g9ezatW7cmPT2db775hv79\n+3+wqll2djZXr17lt99+48aNGwQEBKClpcWJEycwNjamYcOGTJw4ET09PbKysujbty8A//3vf99J\nk0pNTcXDwwPIFcoprFaouGhra9OtWzcA6RmWN/6fiY+P58CBAxw+fJh79+7x/PlzHj9+zJEjR9i/\nf3+ZyzMXhEql4vz58zg6OuLk5IRSqWTIkCEcPnz4nTXG0NCQ06dPo6ury/Xr11m4cCEqlYqrV69K\njV/Xrl370USn/jgPJycn1NXV8fX1xdXVFScnpxL3UPzUBAUFcezYMZRKJdbW1gwePJjo6GiWLFlC\n3bp1qV27Nq1atWLQoEFs3boVZ2dnTpw4wc6dO9mzZw8TJkwAYOTIkZJCZadOnaTa+T+Stz/KzMzE\n3NycWrVqERYW9sEKugVx8+ZNfvnlFwAOHz5MixYtSE9P5/bt29y7d4+JEydiYGCAl5cXw4YNy/c7\nPX78mICAAORyufSsHz9+fInT4mxsbHjw4AGdOnVCJpNhYGDA1KlTefnyJYsWLZLElf5M48aNuXfv\nHlZWVoSHh9O9e3dkMhl169ZFCJFP0yArK0tKR2zTpg2GhoaSEvf7MDU15ffff6dt27YoFAp69OiB\nuro6pqamJCcns3v3bu7du8eTJ0/YvXs3gYGBUh3+jz/+WKw025IgEyXduf4PkJaWxosXL6hfv36p\nVclOnDjB6NGjUSqVPH36lEaNGtGwYUNevnyJnZ0dTZs2ZejQocWSCD58+DDnzp3j2LFjmJmZERQU\n9N6NfnJyMl27dsXDw4MaNWpw79496tSpQ2ZmJr6+vnh4eBARESEdX7lyZczMzDAwMJC0/i9evMjB\ngweRy+V89dVX1K9fHwMDA6KiokhPT0elUrFv3z7CwsLYvn27tBH/VGzatIkFCxagpaXFzJkzmTx5\nMtbW1sV6b1BQEJMnT5ZuWLlcTvPmzalXrx4WFhZUqFCBQYMGlbqmZ+DAgZw7d44xY8YwYsQIvLy8\nqFKlClOnTn1nsVIqlXh5eWFra1tsxaz4+Hj69esnLYITJ05kx44d793op6SkcObMGamOSC6X06lT\nJzp06PDeaykiIgJzc3OysrKYPHkymzZtQk9PL98xLVq0wMPDg379+nH48GEMDQ2L9Rm2bt2KEILJ\nkydTrVo14uLiMDExQalUcuXKFWkzFBUVhaOjo9R3KM+I8/X1Zc+ePWzcuBGZTEZycjIVKlQo8twl\nZfr06ezYsYMWLVpI4g/z5s3DwsKCvXv30qFDhxKNl52djaOjI/Hx8VhaWiKXyyVJ9MePHxfZ9PZ9\npKWl8fLlS16/fs3Lly/ZunUrYWFh6OrqMnnyZHr37k3Pnj1Lrc5WGEqlEjc3N27dukV2djZ+fn44\nOTmhpqbGrVu3Pnp95vu4ffs2X3/9NR4eHlSrVg1/f/93ruHS8OWXX0piF+fPn+fkyZNkZWVRs2ZN\nhg4dSsWKFfMdn9f09YcffuDq1atArvKqi4uLZMT/mZSUFPr168edO3fQ09Pjyy+/pHr16vTv3x8b\nGxvp3lUoFHzxxRecP38egD59+rBs2TLq1KlDYmIi9+/f582bNwghyMrKYtOmTWRkZFCnTh1OnTol\nic8UFyEEfn5+XL16FYVCQVRUFLt37yY7O5tff/2VGTNm5FvXgoKCOHjwIGlpaTg4OJCamsqJEyfy\n9dZ5+vQp06dP58GDB0yfPp3t27eXaE4F4ejoyIwZM2jUqBHDhw9HS0uLOXPmSBsxIQS3b9/mhx9+\n4MmTJygUCum9FSpUwNDQkMqVK1O3bl2mT58ubfrKmqysLI4fP86hQ4e4evUqQgjs7Ow4fvz4ewV0\nnJycGD16NJDbzD2v79eIESNwcnL6KHMtiDVr1rB06VI0NTWZPn06HTt2ZMiQIUWePz4+Hk9PT/z8\n/FAqlTRp0oSWLVuWaB0v6TPUy8uLc+fOoVKpqF+/PnZ2dqxdu5a1a9dKyoFqamrUqFGD2NjYQgW/\nGjduLDXM7dGjB23bti30nLGxsezYsYOcnBw0NDT47rvv0NPT49WrV1StWvW9801NTSUtLQ0jI6P3\nPuMTExNp0qQJYWFhTJs2DUdHR4KDgzl16lS++suIiAj27dtHdnY2vXv35pdffiE8PFxqK2RqasrM\nmTPR1NQkNDS0yPm9j5ycHNTU1Ep0HUZERNC+fXuCg4Np0qQJTk5OkmDO2LFjsbCwkPZ/+vr6zJo1\nC2tra8aNG1fs86SmpjJ48GCuXbuGTCZj+fLl1KhRI58jJSsri8OHDxMaGkrTpk159OgR6enp+Pv7\nY21tXay6tKJQs7e3t//gUf5hZGdnExsbS6VKlQq1totCU1OTK1euEBcXh1KpJC0tjR07dqCvr0+/\nfv0wMDBg4MCBxfIOGBoaEhwcjJubG3FxcfTs2bPQfj/p6ekMGDCA+/fvY2Jiwo0bN5DJZNy6dYtz\n587x4sULkpOTUVNTw8bGhgEDBtC1a1csLS2pXbs2ZmZmNG7cWHqoh4SEEB8fj4WFBYmJieTk5KCv\nr4+xsTFHjhxBX19fUjT6lOQpnr1+/Zr4+HiMjIxo1qzZexfYvCahQ4cOxd/fH21tbXr06EHfvn2x\nsbGRGsKOGTPmg/opWVlZsWPHDp4/f86UKVOIiYlBoVCgUqkkwZI8hBBERkZStWrVYl0LYWFh9OrV\ni8ePHwOwatUq1q1bV+SDJS9qZG1tjaWlJT169KB+/fpFLkj6+vqEhYXx5MkTkpOTad68uRRNhdxI\n6Ndffw3kGiJ/Fv8oDB0dHRISEoiKiiIyMpKmTZuip6dHUlISR44ckbrH16lTB21tbaKjo6VG0xMn\nTkQmk/Ho0SPu3LmDr68vtra2kkxsWRMREcH58+dRKBR8++23rFmzBn9/f5o3b85//vMfDAwMSjSe\nmpoatWvXxsvLi9jYWCpXrkxmZiYvXrzg0aNHTJgwoUQGUGZmJvv372fWrFnMmTOH7du34+TkxPXr\n10lKSqJSpUqMHTuW7t27U7169WJfayVBLpdTq1YtrKysCA4ORkdHB4VCwdu3b7l+/Trjx48v8/54\nxcHHx4dly5ZJYjMnTpygYcOGZTJ2586dOXToECEhIfj5+bFgwQICAwOJj4/n8ePHJCQkkJGRQUxM\nDF5eXuzZswd7e3s8PT2BXMfI6dOn3zHE/oimpiZDhw7lxo0bhISE8OrVK+rVq8fr168JDAwkISGB\nJ0+eMGXKFKm317Rp09i3bx/m5uYYGBhgamqKra0taWlpvH37FnV1dcaMGcPz588JDg7mwIEDaGpq\n0qxZMzQ0NPKdPzU1FR8fH3x8fHj16hWxsbH4+flx4cIFHj9+TEZGBklJSTg5OZGcnEy/fv3YtGnT\nO+uakZERGRkZUoF9UFAQPj4+TJ8+XboW7969y9GjR0lJSWHu3LmlbjL8R2rXrs2mTZuIioqic+fO\nKJVK3r59S4MGDYiPj2f37t3MmTMHHx+fd5qqZ2dnk5ycTGRkJC9evODw4cNcu3aN+vXrF9mWoSTE\nxMSwbt06Nm/eLK3rU6ZM4cCBA+/8Hn+mcePG1K5dm6tXr0qKtV988QX79u0rUWT9Q2nbti23bt0i\nKCiI169fU7VqVdTV1fM9K/5IZmYmP//8M9988w3btm3j7NmzXL58mcOHD0uCHMVV+PzjtZaenk5E\nRARv3rwhPj6e1NRUMjMzUSqVksiNq6srQggaNmxIo0aN6N27NydOnECpVNK6dWt++eUXdu3axeLF\ni/nmm2/o1q0blSpVIiIigsTERCpUqEC7du3o2bMnBgYG2NnZFemg0NXVlRwNGhoaJCYmEhISwps3\nbwpt4PvmzRtOnz7NpUuXcHd35/79+yQmJlK7du0Cr4spU6Zw9+5d6tatKzlTnZycyMrKwsTEhB49\netCqVStJvMTLy4uAgACpZQXkZpA4ODgQHh7OhAkTipRnLwq5XF5iI19fX5/+/ftz/PhxgoKC8PT0\nlCKMAQEBCCGYOHEi2dnZ9OrVCwsLC8aOHVui54umpiYjR44kOjqax48fc/v2bcLDw2nbti2VKlUi\nMTGRkydPEhgYiKGhIdeuXcPExISsrCzi4uIwNTUt8t4sDn/rCFZmZiYrV67k6tWraGtrM3HiREmZ\n68/4+vqyYsUK/P39sbCwYOXKlYVGj8oigpWTk8NXX30lSbLnMWjQIGxtbWnXrp3U3K84HDp0iPXr\n1+Pt7c3UqVPZsWPHO8dkZmZiZ2fHlStX0NPT46effiIjIyOfhLCxsTFNmzaladOmRXqJAgICaNSo\nEVlZWfz666906tQJQ0NDatSoQbt27XBzc2Pu3LlSSPpT8/z5c5o1a0Z2djZDhw5lypQp9OrVq8Bj\nQ0JCmDhxohS1srGxoVu3blK0xczMjE6dOhX6QCgpEyZMYP/+/VhZWbF//34pPal79+5S/xHI9b7l\nSee/ePGClJQU5HI5lSpVonLlylSuXBljY2PCw8NxcnJi1apVpKSkoKGhwfbt25k0aVKZzPd9BAQE\nYGVlhVKpZOrUqTg4OEgP73Xr1rFo0SJq1qzJqVOnipUimEdycjIODg5kZmZiaWmJubk5d+/eJS0t\nDR0dHYYOHUq9evXIzMxk69atLF68GKVSyZEjRxg2bBibNm2S0ltnzZrFr7/++lE+v7e3Ny1btiQr\nKwt3d3e6dOlCSkoKM2fOZPPmzaWOBr18+ZLjx49LqVIbN24kKSmJqVOn4ujoWOSDKSkpiR07drBp\n06Z8njcTExPMzMyoWbMmurq6mJmZUa1aNSZMmICfn1+JoqWlISsrizNnzuDt7c2OHTuIj4+nd+/e\nnDt3rtBNn1KpJCQkhJcvX5KamopKpcLIyAg9PT0MDAxQU1NDV1cXExOTYnm3hRBcunSJ5cuXS7LI\nq1atYunSpWX6WT08POjUqRNpaWk0atSI5cuXk5KSQnh4OEIIkpOTCQkJ4fnz51I/OV1dXTZv3szk\nyZOLfZ74+Hg6d+7Ms2fPqFy5MkOHDqVKlSpkZGTg7OwsKSNu2LCB+fPnFziGEII7d+5IioctWrTA\n0dFRamJvZGREhw4d0NLSIi4ujlevXhXae1FfXx8TExO0tLR4+fIlQggaN27M77//LkWh/xxVyIvc\nvnnzhq1bt5Kamsrhw4cZM2YMmZmZLFu2jPXr1yOTyYiMjJSaOX8offr04fLly8yePZsqVaqQk5MD\n5Hr8Dxw4QHx8PKampmzcuBE7Ozv09PRIT08nODiYgIAAHj58yKlTp/KpELZp04alS5fSt2/fUjsr\noqOj2bZtG05OTpJDSUdHh59++onZs2eXaGMaHx/P/fv3MTc3L3HrgbLi9evXfP7558TExGBubs6o\nUaOws7OjVatW0jFv3rxh06ZN7Nu3L196qlwuR11dnaysLOn/x40bx65du4psgaFUKrlx4wYxMTEE\nBgYWq1ygY8eOpKWlMWbMGJKSkjA1NWXr1q0MHz78vd97dnY2YWFhxMbGoq+vj4WFRbE32iqVit27\nd/P27Vs0NTVZvnw5SqUSJycnRo4cme/Yhw8fSpFMyDUI8r4bAwMDhg4dms/IP3bsGKNGjUIul3P3\n7l0MDQ05deqUlCpsZ2eXb54qlYoVK1bw448/ArmpgAsXLuT48eP8+OOPVKhQAX9/f6pXr16sz/Yx\neP78OR07diQhIYHu3bszcOBAQkJCOHjwIDExMdSpU4eJEycyduzYD0r53rt3LwsXLswXvc7D0NCQ\ny5cv07p1ayB3z1KWEay/tYH1ww8/4O7uzpo1a4iIiGDx4sWsXr2a3r175zsuLS2Nnj17MmDAAIYN\nG8bRo0e5dOkS165dK/BLKgsDC8DZ2ZlFixZJC7O1tTVDhw5FS0uL2bNnFyuVKo+8/OB9+/ahpaVF\naGgoVapUkV7Pyspi2LBhnDt3Di0tLcaMGSPVAOno6NC4cWNsbGyoUaNGiRbuZcuWsWrVKkxMTPD0\n9KRmzZrs3buXSZMmoaurS2Bg4AeFkD8Ue3t7Vq5ciZaWFtOmTWP+/Pn5jCSVSsWOHTtYtGgRKSkp\naGtr07t3b2xsbJDL5Zibm9O5c+cy9UgCxMXFYWNjQ0REBAMGDGDmzJlSSl+NGjWwtrYmOTkZFxcX\nTp06VSKJ25o1a/Ldd9990rTMWbNm4eDgQJUqVTh37hwtWrSQInKhoaEMGjQIJyenEkcyAwICOHr0\naL56jGrVqjF8+PB8NRgZGRnY2dlx9epVKleuzPr16wkKCmLnzp1ERERw7NgxRowYUWaf94+kpqbS\npEkTgoOD6dChA66urhgaGrJ79+5CvY/FJSQkhDNnzpCUlMTLly+lXiBfffUVS5YsoVq1au8YJVFR\nUWzZsgUHBwepDUTNmjWZP38+Q4YMoU6dOmRkZHDixAmCg4PR1tZm8uTJVKxYscTpqKUlbzN/9OhR\n9uzZQ05ODiNHjuTo0aP5nAvBwcH4+vri5+dHeno6qampPH/+HD8/P96+fftOVAFy69iqVq2a78/Y\n2JisrCxSU1MJCAjAx8eHsLAwaYPy/fffs2zZso+SMvXgwQPs7OwkeWE1NTX09fVJT09/p1npwIED\n2bJli7Q2l4SoqCg6duyIv78/crkca2trQkJCSE1NRVNTk8OHDxfrenR1dZXaDHTs2JGQkBBWrlxZ\naG2Xvr6+9JxMSUkpUO59+PDhbNu2TapRKCxtKzg4mN9++407d+5w8+ZNLC0t8fHxwdvbm+XLl3P5\n8mU6duwoRePKgjNnzjBkyBAMDAy4e/cut27dIjAwkAMHDqBQKKhduza3bt0qso/e+fPnWblypdSE\nFXJrxUaNGkXbtm2pWrUqmpqapKamSn8JCQnEx8eTkJAg/XdERASenp6SHD3k1j4OHDgv8UAgAAAg\nAElEQVSQjRs3vpPl8E/iwYMH9OzZk5SUFIyNjWnXrh3NmzeXsmhu3bqVr9fRsGHDmDRpEq1bt0ZT\nU5MnT54wZ84cSTa7UaNGXLp0qdCMkoyMDK5cuZJP+t/IyAh9fX2USiUZGRlkZGSQnp6Ojo4OdevW\npU2bNpw5c4bZs2ejUqno0KEDJ0+eLDOD/n1ERkaya9cuVCoVkZGRODo6YmRkhIeHh1RrdP369Xyf\nv2fPnujr6/P69WtcXFyIj49HLpfTt29fmjdvjre3Nx07diQpKYnly5czbNgwqbdTkyZNGDRoUKFO\ngPnz50sOch0dHalX3K5du0rkAPpYuLm50a1bN1JTU6lQoQKZmZlSFtXixYv54osvymTvFh0dzY8/\n/siRI0eIi4tDU1OTQYMG8fPPP+dbq/81BlZaWhqtW7dm165dkodk27ZtPHjwgIMHD+Y79uTJk2zf\nvp3r168jk8kQQtCrVy+mT5/OkCFDChy7LAys6Ohofv31V6lwr1atWmRlZdGiRQup2Lck/P7773zx\nxRe8efOGMWPGcPjwYSA3v3fw4MHcvXtXSv+oV68eDRo04LPPPsPS0rLUG6qMjAzatGmDl5cXdevW\nZfDgwTg4OJCRkcGaNWveER741GRnZ9OlSxfu3buHkZERU6ZMYf78+VSpUoU7d+6waNEiHj16BOQ2\nu+vduzeVKlWiYsWK9OrViwYNGny0PPX79+/TtWtXMjMzadWqFSNHjiQoKEhKKfqjt00ul2Nqaipt\nZrKysoiNjSUuLg4hBHK5HEtLS6ytrWnTpg2zZ8/+pClXcXFxmJubk5ycLBlTzs7OjBo1Ck1NTY4c\nOcLQoUNLNXZERAT3798nLS0NCwsLqYv7nwkPD8fa2pqUlBR69epF7dq12bVrFxoaGoSHh3/UB+SA\nAQOk+hbILWh2dHQsk95b2dnZPHr0CHd3dy5fviw1fu7UqRNdu3aVjIiMjAxcXFw4efKktHG3srJi\n8eLFjBkzBk1NTWntun37NsnJyWhqajJ69GjMzMxKVe/3ofj5+bF69WoOHTqEEIL27dszc+ZMMjMz\nefv2LZmZmWRnZ/Py5Ut8fHzw9/dHqVTmG0NTUxO5XE52dvY7rxXFZ599xubNm98r7FEWxMbGsnr1\nag4ePCiJrkDuxtnW1pbu3bszadKkDxZiiY+PZ+rUqZw6dUr6twYNGnDgwIF8kYKiuHPnjhTNr1+/\nPn369OH58+c8ffqUrKwsMjIySExMRKlUShFDc3NzWrduTdWqVfHx8SEkJAR1dXU+//zzd4yT911r\nLi4uPHz4kC1btpCamsoPP/yAtrY2a9asIT4+ns2bN0uNq8sClUrFZ599xvPnzxk8eDATJkxgxowZ\nvHnzBgsLC27evFnslHCFQsGOHTtwcXHh8ePH7xjQJaVKlSr069ePxYsXS42r/+m4ubkxbNiwQoWd\n6tSpw5AhQ1i+fHmBQiZCCNauXct///tfsrOzMTY25vjx45JgSd4xvr6+XLx4kVevXhEQEEBERASR\nkZFoa2vTtGlTBgwYwMiRI/MJP6lUKpYsWcK6deuA3Oa427ZtKzJKVpbcvHkTV1dX1NTUOHnyJN7e\n3tKzTKFQ4ObmRmRkJBoaGkREREgGlYWFBTY2NiiVStLT05HJZGRlZbFz504UCgWdOnVi2bJl3Lt3\nD8jN0rGzs3tvhFUIwfr161m5ciWpqaloa2uzatUqFixY8Km+jiJxdXVlwoQJBAYGArlr+u7duyXD\nvSwRQqBQKNDX1y8w2+JfY2A9efKEcePG4eXlJd0cbm5uTJkyBS8vr3wX1fLly6Wc3zyWLFmCpqYm\n/8fefYdFdaV/AP9OYYYmvURQRJqiUVEEjRqNLcaSmIgxcWNLsmuyG2OyySa7ZrNPkk2Pm1jWrimK\niooolmBU1EhUNATBoBQp0ntnmD73/v6Y373LwIAgA+PI+3mePLvODJczw517z3vOe97z73//u82x\nTRVgAfoqgi1HVxwdHfHqq6/etVKXMQzD4P3338fnn38OAPw08Z49e1BTUwMrKys899xziIiIwKRJ\nk0xW8SQ/Px/Tpk3DnTt3+MeefvppxMTEmH7jtXtQXl6OiRMn8vnNAQEBUCqVfHttbGzw2GOPISws\nDFKpFI8++miXq7/dqzNnzmDRokVtNpzmDB06FOHh4RgzZgwaGxv5kVGBQIAhQ4Zg6NChkMvlSE9P\nR3FxMYRCIZYuXWqyVMau2LhxI9544w0IhULMnTsXly5dQl1dHaZNm4Zjx46ZpHBAZ9sgEAhga2uL\n5uZmLFmypM2giqnFxMRg+fLl/GzBu+++iw8++MCk5xDLsigtLcWaNWv49+Pq6gofHx/U1NTw1aoA\n/Szo9OnTMXr0aNja2oJlWSgUCoPzzMXFBQsXLuQLKJgjwAL0sx7vvfceX9TEyckJI0aMgEQiQXl5\nOe7cuWOwkDw0NBRLlizBlClTEBwcjNraWty8eRPp6emorKyETCZr859CoYBYLIaVlRUcHR0xZswY\nLF68uEc2n+4IwzAoKytDQ0MDpFIpBgwY0CPrUzMzM5GSkgIvLy9MnDjxns7D69evIy4uDjqdDiKR\nCAMHDoRIJEJRUZFBqtbIkSMxbty4LmUqdHSuqVQq7Ny5E+fOnUNsbCyEQiE8PDxQXl4Od3d35OXl\nmfxa8ssvv2DatGl8eiCgzyg5d+5cuwVG2sNVTrx06RK/jq2mpgYKhQJarRa2trawsbGBtbU1bGxs\n+MEiKysr2NjYwNbWFgMHDsTcuXMxbdo0s6xN7GkNDQ3YvHkzjh49ipKSEjg4OMDPzw9z587FokWL\n+KqxHfn555/x7LPPorq6mp+x4bIUzp07x68h6mgDbalUiueeew5Lly6FVqvFV199xQ8sfPLJJ3jv\nvfd6rRAIR6fTITIyEgUFBVCpVNi3bx9/becmALoqMDAQL730Eh/wT5gwoUsFWZqampCdnQ1fX1+4\nuLh0+ff3NK1Wi7S0NFhZWWH48OG9/jfj9JkA6/Tp0/j3v//NR+sAkJubizlz5iAxMdHgJHn11VcR\nEBDAL8YH9GtHsrOzsWPHjjbH5gKsgICAbl/oNRoNjh8/jtu3b8PT0xNPPvlkpy4u7VGr1XjhhRf4\n0tgcZ2dnfPDBB/jDH/7QI1+QqqoqbNy4EdnZ2ZgyZQpWrlzZq520uykuLsbzzz9vUEpcLBYjJCQE\nU6ZMgYODA4YPH45p06Z1uShBdxUVFWHt2rU4ffo06uvrERgYiNmzZ2PRokXw8/NDWloaRowYAZ1O\nx3ecjK19sLKywtNPP90j5cg7g2VZPPPMMwYzOa6uroiNjeVLj/c0hmGwaNEixMbGAtCXYk5MTOxW\n5b3OaGxsxHvvvYekpCRMmDABL7zwQo+WQN6zZw/eeustg7xwgUCAhx9+GOHh4RgwYEC7NxmuqEFo\naKhBx1un0/Hnmjm+u0ePHsVf/vIXPpWuJR8fH/zhD3/ACy+80G41UJZlUVFRgfz8fFRWVqK5uRla\nrRZSqRT29vbw8PBA//794eXlZbYbsKUpLy/HqVOnUFJSYvB4v379MHLkSIwdO/aeBhnvdq7V1tZi\n79692LNnj8EA5I4dO9pdR91dsbGx+Mc//oGKigpERETgP//5T4cFRu6mtLQU58+fR35+fqdeb21t\njcGDB2PYsGEIDAzs1SIUlqqkpAQRERHtltcH9CnDYWFhePbZZzFx4kQoFApcuHABhw4d4gvKtGRj\nY4OtW7diyZIlPdn0DikUChw6dAhFRUVQKBSIj4/H77//Do1GA5FIhMDAQISHh2P8+PF85lNGRgaS\nkpJw+fJlfpbc3t4eoaGhmDRpEh/AT58+HSEhIWZ7bw8ymUyGnJycBz/Aio2NxYYNGwxq4xcVFWHG\njBm4ePGiwWjb8uXLERoaapB2sGHDBqSkpOCHH35oc2wuwDIllmVNdtNnWRbR0dE4ceIENBoNxo4d\nixUrVpi8Rr+lYVkWycnJ+O2336DRaODj4wMnJye4urrC19e3V2ZYTKWpqYmvkMiyLJydneHn59cj\nZci7QqvVYvv27fxi9tdff73XF1Wr1WrExMTg5s2bWLp0aa/NUpSWluLOnTvw8PBAQEBAj3fiZTIZ\nfvnlF5SUlMDNzQ3jxo1D//79wbIsNBoNlEoltFottFotBAIBv/bHFNWNeopcLsfZs2eRlpYGtVoN\nf39/hIaGYtiwYffFbHhfxBXjaGhoAMuycHBwgKOjY4+f3xqNBgUFBThz5gwqKiowY8aMLm95cC9M\neS8G9N/T8vJy1NfX87NYQqEQEokE9vb26NevHxwdHeHk5ESB/z1gWRZnz57lK+PpdDp4e3tj5MiR\nmDx5MkJCQoxe81iWxa1btxATE8MH8WPHjsXy5ct7dd/O9jAMg4KCAn6PNkdHRzg4OMDT07PDlEWW\nZfmKzs7Ozqirq4NMJoNUKoW7uzsF7r3ggQ+wTp06hU8++cToDNa1a9cMRqZWrlyJoKCgNjNYubm5\n2LZtW5tjm3IGi5COmHtWgfQddK6R3kLnGuktdK6R3mLqGaz7NhT29PREXV0dtFotH7FXVVXB2tq6\nTQqYp6enwcJjAPz+Mx0RCoX0hSW9QiQS0blGegWda6S30LlGeguda6SnmXz/SJMezYSCg4MhFosN\n8reTk5MxYsSINh/CqFGjkJKSwi8eZFkW169fx6hRo3q1zYQQQgghhJC+7b4NsGxsbPD000/jww8/\nxO+//474+Hh89913WLZsGQD9bBa3h8oTTzyBxsZGfPrpp8jJycGnn34KhUKB2bNnm/MtEEIIIYQQ\nQvqY+zbAAoA1a9Zg+PDhWL58OT766CO8/vrrePzxxwEAkyZNQlxcHAB9pZXt27cjOTkZCxYswI0b\nN7Bjxw6T5FASQgghhBBCSGfdt2uwAP0s1pdffokvv/yyzXNZWVkG/x45cmSb0uaEEEIIIYQQ0pvu\n6wCrp3CbvSqVSlo0SXqUTqcDoK9cSeca6Ul0rpHeQuca6S10rpHewi074mKE7rpvy7T3pJqamk5v\nHkgIIYQQQgh58Pn6+sLV1bXbx+mTAZZWq0VDQwOkUiltfkkIIYQQQkgfxjAMVCoVHB0dTbKhc58M\nsAghhBBCCCGkJ9D0DSGEEEIIIYSYCAVYhBBCCCGEEGIiFGARQgghhBBCiIlQgEUIIYQQQgghJkIB\nFiGEEEIIIYSYCAVYhBBCCCGEEGIiFGARQgghhBBCiIlQgEUIIYQQQgghJkIBFiGEEEIIIYSYCAVY\nhBBCCCGEEGIiFGARQgghhBBCiIlQgEUIIYQQQgghJkIBFiGEEEIIIYSYCAVYhBBCCCGEEGIiFGAR\nQgghhBBCiIlQgEUIIYQQQgghJkIBFiGEEEIIIYSYCAVYhBBCCCGEEGIiFGARQgghhBBCiIlQgEUI\nIYQQQgghJkIBFiGEEEIIIYSYCAVYhBBCCCGEEGIiFGARQgghhBBCiIlQgEUIIYQQQgghJkIBFiGE\nEEIIIYSYCAVYhBBCCCGEEGIiFhVgFRQU4OWXX8bo0aPx2GOPYdeuXfxzRUVFWLFiBUJCQjBnzhxc\nunTJjC0lhBBCCCGE9EUWE2AxDIOVK1fC2dkZR48exUcffYStW7fixIkTYFkWr732Gtzc3BATE4P5\n8+dj1apVKC0tNXezCSGEEEIIIX2I2NwN6Kzq6moEBwfjww8/hL29PXx9ffHII48gOTkZbm5uKCoq\nwoEDB2Brawt/f38kJiYiJiYGr7/+urmbTgghhBBCCOkjLGYGy8PDA+vXr4e9vT1YlkVycjKSkpIQ\nHh6OGzduYNiwYbC1teVfHxoaitTUVDO2mBBCCCGEENLXWMwMVkvTpk1DaWkppk6dilmzZuGzzz6D\nh4eHwWtcXV1RXl5u9Oe1Wi0aGhoglUohFFpMjEkIIYQQQggxMYZhoFKp4OjoCLG4++GRRQZYGzdu\nRHV1NT788EN8/vnnUCgUkEgkBq+RSCRQq9VGf76hoQH5+fm90FJCCCGEEEKIJfD19YWrq2u3j2OR\nAdaIESMAACqVCn/7298QEREBhUJh8Bq1Wg1ra2ujPy+VSgEAOp0OwcHBPdtY0qcxDIOcnBwEBATQ\nbCnpUXSukd5C5xrpLXSukd4il8tRXFzMxwjdZTEBVnV1NVJTUzFjxgz+sYCAAGg0Gri7uyMvL6/N\n61unDXK4L2l1dTX69evXc40mfZ5OpwMA2NvbQyQSmbk15EFG5xrpLXSukd5C5xrpbaYK5C1mOKC4\nuBirVq1CRUUF/9jNmzfh4uKC0NBQ3Lp1C0qlkn8uOTkZo0aN6vCYtbW1PdZeQgghhBBCSN9jMQHW\niBEjMHz4cLz33nvIycnBxYsXsXbtWrz66qsIDw9H//79sWbNGmRnZ2PHjh34/fffsXDhwg6PWVdX\nB4ZheukdEEIIIYQQQh50FhNgiUQibNmyBTY2Nnjuuefwz3/+E0uXLsWyZcv456qqqrBgwQIcP34c\nmzdvhpeXV4fH1Gq1qKur66V3QAghhBBCCHnQWcwaLADw9PTEpk2bjD43aNAg7N27t8vHrKqqMkm1\nEEIIIYQQQgixmBmsntLY2GjuJhBCCCGEEEIeEBY1g9UTGhoazN0EQgghhJBed+fOHcTExHTrGEOH\nDsW8efNM1CJCHgx9PsCiGSxCCCGE9EVFRUXYuXNnt44xZ84cCrAIaYVSBCnAIoQQQkgfZGVlZe4m\nEPJA6vMzWJQiSAghhJC+6JFHHsHzzz+PAwcOAACsra2xc+dOhIeHm7llhFi2Pj+D1dTURHthEUII\nIaRP+vDDD/HMM88AAJRKJV555RWkpqaauVWEWLY+HWAJBAIwDIPm5mZzN4UQQgghpNcJBAJ89tln\nmDNnDgBALpfjT3/6E9LT083cMtPZvn07FixYgNGjR2PChAl44403UFxcbO5mkQdYnw6wbGxsAAAy\nmczMLSGEEEIIMQ+hUIi1a9di+vTpAPTr01966SXk5OSYuWWm8euvv2Lp0qWIjo7Grl270NDQgD/9\n6U/QarXmbhp5QFGABdAMFiGEEEL6NLFYjPXr12PSpEkAgLq6OqxYsQIFBQVmbln3ffvtt3jmmWcQ\nEBCAYcOG4eOPP0ZeXt4DE0CS+w8FWKAAixBCCCFEIpFg8+bNfJGLqqoqrFixAiUlJWZumWlxmUtO\nTk78Y0eOHMGQIUP4//7617+aq3morKzEu+++i0mTJmHYsGEYMmQIfvvtNyxYsAAvvfSS2drVW/Ly\n8jBs2DDs27evzXO5ubkGf6dp06aZoYV316erCFpbWwOgAIsQQgghBND3jbZt24aXX34ZKSkpKC0t\nxYoVK7B37154enqau3ndptPp8OWXX2LKlCl46KGH2jw/ffp0BAcHIzAwkH+soqICp06dQkJCAvLy\n8lBdXQ1HR0eMGTMGf/zjHzFq1CiTtY9hGLzyyivIysrC7Nmz4ePjA6FQiKKiIty6dQsHDx40+nPr\n1q3Dtm3bsH//foSGhpqsPebg5+eHuXPnYvPmzZg/fz7s7e3555ydnbFq1SoAwO7du83VxLvq0wEW\nzWARQgghhBiys7PDzp07sXz5cty6dQuFhYV48cUXsXfvXri4uJi7efeMZVl88MEHKCsrQ1RUlNHX\nzJgxAwsWLDB4LDIyEjt37oSPjw8mTpwIFxcXFBQUID4+HvHx8fj666/5IiHd9euvvyI9PR1LlizB\nv/71LwD6oGvGjBkYO3YsQkJCjP7czZs3IRQKERwcbJJ2mNsf//hHHD9+HJGRkfjzn//MP+7i4oLX\nX38dAHD06FFzNe+u+nSKIM1gEUIIIYS01a9fP3z77bcICgoCoE/NevHFFy12/1CWZfHhhx/iypUr\n+OGHH7oUKI4cORKRkZE4e/YsPv30U7z99tvYuHEj9uzZA5FIhA8//BBqtdok7bx27RoAfaDHSUhI\nQElJCZ5++ul2fy49PR2DBg2Cra2tSdphblwKYHR0tEVup0QzWKAAixBCCCGkNWdnZ6xbtw7z5s0D\ny7LIzMzE9u3b8e6773b5WElJSfj++++RmpqKxsZGuLq6YsSIEVixYgXGjh3Lvy4mJgYHDhxATk4O\nWJaFl5cXXnrpJSxcuLDNMU+fPo3IyEjk5uZCJpPB0dERAQEBWLx4MWbNmsW/jmVZfPTRR7h48SIi\nIyPRv3//LrX98ccfN/r42LFjMW7cOFy6dAlZWVkYMWIE/9ypU6fw5ptv3vXY/fv3x88//4zY2Fj8\n/e9/5x9fsWIFAMDe3h4TJ06EQCAw2o5PP/0Ue/bsAQDU1tZiyJAh/HNxcXHw9/fv1HvsSUVFRQYB\nY3smT56MnTt38v+ePXs21q9fj2vXruGRRx7pySaaXJ8OsGgGixBCCCHEuObmZqxZswYsywIAwsLC\nsHr16i4fZ/fu3fj8889hbW2NGTNmwMvLCxUVFUhOTsbp06f5AOuTTz5BZGQkPD09ERERAZZlERcX\nh3/+85/IzMzE+++/zx9z//79+Oijj+Du7o6ZM2fCyckJVVVVSEtLw9mzZw0CrI8++gg//vgjtm7d\nCmtra1RVVQEAHB0dIZFIuvMRQSwWG/wvx8XFBc888wyOHj2K0aNHY+LEifxzV65cwfXr1zF//ny+\naqO3tzdWrVqF7777DlKpFC+88AIAwNXVFRs2bMDgwYPh6OjY5vePHDkSc+bMQVxcHB599FF+PZhA\nIICvr2+33pupaLVaft0UANy6dQsXLlzAY489hocffph/fMyYMQY/x6VDJiYmUoBlSWgGixBCCCGk\nLbVajddeew2///47AGD48OHYtm0bPzjdWZmZmfjiiy/g7u6OqKgoDBgwgH+OZVlUVlYC0M9wRUZG\nwt/fHwcPHkS/fv2g0+kwefJkfPbZZ4iMjMQTTzzBB2OHDx+GlZUVjh07BldXV4PfWVdXZ/Bvbr0V\nF7Rw9uzZg3HjxnXp/bRUWlqKK1euwN3dnU+l5IwbNw6FhYU4evQo5s+fj8WLF/PP3b59GwCwevVq\n/vMICwtDcHAwNm/ejHHjxvHrjHJyclBfX49HH33UaBuefPJJVFRUIC4uDkuWLMFjjz12z++npwwe\nPJh/PwDw9ddf48KFC1i+fDkmTJjQ7s9xM4LXr1/v8TaaGgVY0AdYLMtCIBCYuUWEEEIIIeal0+nw\n1ltvITExEYC+g7xr1y6Dam6ddeDAATAMgzfffNMguAL0syxcZUKuYMGqVavQr18//jX29vb4y1/+\ngnfffRdHjhwxSCe0srJqM3ME6FMbW8rKyupyu+9Go9Hg3XffhVqtxt/+9jeIRKI2r+F+b8u0PQDI\nyMhAv3792nweGRkZYFnWoFBFeXk5AMDNza3dtqSnpwOAxRS4yMzMBND2c2nN3t4eUqmU/wwsiUUF\nWBUVFfj0009x9epVSKVSzJkzB2+99RakUik/rdzSv/71LyxZsqTd40mlUgD6C4lGo+n2NDEhhBBC\niCVjWRbvv/8+zp49C0C/Ruj777+/5+qB3AwYlwrXnoyMDAAwOqPEPcZ1zAFgzpw5WLt2LebNm4d5\n8+Zh/PjxCA0NvacgsKsYhsE//vEPJCUlYdGiRe0Wn8jKyoJAIDCY3ZLJZCguLjZaSt1YoFRfXw8A\nBkGnsZ9zdXU1aRn9L774okuFO5YtW9bplMTMzEy4u7u3mXk0xtHRsc2MpCWwmACLZVmsXr0aDg4O\n2LdvHxoaGvDee+9BKBTi73//O3Jzc/H222/jmWee4X/mbl8ysVgMkUgEnU4HhUJBARYhhBBC+rQv\nv/wSR44cAaBfR/Tdd991uShESzKZDAKBAO7u7nd9nVAoNBrIubq6QiAQ8BsEA8DLL78MJycnREVF\n4fvvv8d3330HsViMKVOmYM2aNRg4cOA9t7kjDMPgvffew8mTJ/HUU0/ho48+ave1WVlZGDhwoEF/\nlJulGjp0aJvXcwFkywCLS8lsL9iRy+UoKCjoMNXuXhw8eBByubzTr581a1anAqza2lpUVlbeNeDm\nqFQqPuPMklhMgJWXl4fU1FRcvnyZnyZdvXo1vvzySz7Aevnll+/6BW5JIBDAxsYGMpkMCoXC6OJB\nQgghhJC+YOvWrfj+++8B6Aepd+3aBT8/v24ds1+/fmBZFlVVVR3OsNjb24NhGNTW1raZ2aipqQHL\nsgaBikAgwMKFC7Fw4ULU1dUhOTkZJ0+exKlTp1BQUIDjx48bTdvrDoZhsGbNGsTGxmLevHn44osv\nIBQa3/GotLQUDQ0NbWbkuFkqYwFWenp6m9RBLt2Rm8lqLSMjAwzDtJsemJ2djXnz5mHnzp3YsmUL\n0tPT4e/vj/Xr12PQoEHtvteUlJR2n+sOLm3S2PtvjWEYNDU1ISAgoEfa0pMsZh8sd3d37Nq1q00O\nqkwmg0wmQ0VFxT1VS+GiYoVCYYpmEkIIIYRYnP3792P9+vUA9Esotm7diuHDh3f7uCNHjgQAXLp0\nqcPXcQECtw9US0lJSQDa75Q7OztjxowZWL9+PcaPH4+cnBwUFBR0p9lttAyu5syZg6+++qrDAK69\ndUbtPa5Wq5Gbm4uhQ4ca1AQIDAyEUCjEnTt3jP4eLmBpL8DKysqClZUVdu/ejXfeeQdHjhyBTqfD\njh077vKOewb3PjoTNOXn54NhmDYFRCyBxcxgOTg4GFRQYRgGe/fuxfjx45GbmwuBQIBt27YhISEB\nTk5OePHFFw3SBY1hGIafepXJZNDpdD36Hkjfw51TdG6RnkbnGuktdK49eOLi4vDxxx8D0C+fWLdu\nHUJDQ03yN160aBEOHjyI9evXIywsDN7e3vxz3MyWh4cH5s+fj5iYGGzatAkTJ06Evb09dDod5HI5\nNm/eDACYP38+36Zff/0VYWFhBsGIRqPhZ3rEYnGX2s9tZsswTJufYxgG77//PmJjYzFr1ix88cUX\nADr+DnBrygIDAw1el52dDQDw8/MzeDwrKwsajQZDhw41eNzOzg5BQUG4efMmNElYtfUAACAASURB\nVBpNmxkzbn0S93kZa4eTkxO++eYbfgZwwoQJKCgoMMt3uKmpCYB+guNuvz81NRWAfr8xY6/ltg8w\nxfsw9WbGFhNgtbZ27Vqkp6fj8OHDuHXrFgQCAfz8/LBkyRIkJSXhX//6F+zt7TFz5sx2j5GTk8Pn\ntGZnZ5tsF25CWktLSzN3E0gfQeca6S10rj0YUlJS8M0334BhGAgEAqxcuRJOTk5859YUlixZgj17\n9mDevHkYO3Ys3Nzc0NDQgIyMDIwePRrLli2DWCzGrFmzcPr0acyePRvh4eFgWRa//voramtrMWvW\nLIjFYr5df/nLX2BjY4OAgAC4ublBp9MhLS0NJSUlCA8PR1VVFb/fVWcUFhby/9v6vR8+fBixsbGw\ntraGjY0NPvzwwzY/P3bsWINMKm4mjmEYg+NxZeljY2MN1mdduHABAGBra9vm9z/88MPIzMzE4cOH\n28zmcAXbPvjgA4SFhUEsFmP48OH8jNZvv/2GMWPGICcnh/+ZmzdvwsPDw6R/487igqLPPvsM8fHx\nCAkJaXf27ccff4RIJIK7u7vRtnL9dnO8j7uxyABr7dq12L17N9atW4egoCAEBgZi6tSpcHJyAqCf\nQs7Pz0dUVFSHAVZAQACKiopQUVEBNzc3fkMzQkyFu+CPGDHC5LnghLRE5xrpLXSuPTiSk5Px3//+\nl58BGDx4MHQ6HS5evNil47zxxhsdPh8SEoKpU6fihx9+QEpKCuRyOVxdXTFq1CgsXbqU73+FhITg\nyJEjOHjwIH7++WcA+iqGb775JhYuXGhwzL/97W/45ZdfkJWVhdTUVNjY2GDgwIF4+eWXERERASsr\nqy69By51zcfHp01/8NChQwAApVKJ2NhYoz8fGhpq8HMVFRX8QH/LWbaIiAj88MMP2LBhA7Zt28b/\nzMmTJwEAjz/+eJuAw8vLC7GxscjMzMSiRYsMngsJCYFWq0V0dDTi4uKg1WrxyCOP8MctLy/H4sWL\nDdpWXl6OiIgIs/R7R4wYgYqKCpw8eRInTpzAlClTjLZDoVDg+vXreOyxxzB16lSjx+KK05nifchk\nMoMgtLsELBdKWoiPP/4YUVFRWLt2LebOndvu6/bt24f9+/fjxx9/bPOcXC5HRkYGgoKCkJiYyO8Q\n/fjjj/dk00kfpNPpkJqaipCQEOqIkB5F5xrpLXSuPTheffVVfuakO3pinymgd8+1I0eOYM2aNfj8\n88+xYMGCHv1d9+Kdd97BxYsXcf78+U6Xom9oaEB4eDhOnjyJwMBAAPpAYuzYsYiNje1UoQlziY6O\nxvvvv4+9e/ciLCzM6GumTZsGADh//ny3f19TUxNu376N4OBg2Nradvt4FlPkAgA2bdqEAwcO4Jtv\nvjEIrjZs2IAVK1YYvDYzM7NTlW+oyAUhhBBC+iILG2PvFWvWrMGQIUPw17/+1dxNMfDmm29CqVRi\n7969nf6ZrKwsSKVSg/5wZmYmxGIx/P39e6KZJqHVarFt2zZMmzatTXCVm5uLIUOGYMiQISgpKTFT\nC+/OYlIEc3NzsWXLFqxcuRKhoaEGebVTp07Fjh078O2332LmzJm4dOkSYmNjsWfPnrsel4tSKcAi\nhBBCSF+yfft2czfhvhEcHIxVq1bx/+ZmfO4X3t7e+OKLL1BTU9Ppn8nKykJgYKDB7F9mZiYCAgK6\nnELZm8rKyvD0009j/vz5bZ5zdnY2+Dt1tAGzOVlMiuCOHTvw9ddfG30uKysL8fHx2LhxI/Lz8+Ht\n7Y2//vWv7ab8tUwRLCoqQnR0NHx8fPDiiy/25FsgfRCl0pDeQuca6S10rpHeQuca6S2mThG0mBms\nlStXYuXKle0+P2PGDMyYMaPLx6UUQUIIIYQQQoipWNQarJ5AARYhhBBCyP9kZ2djyJAhSEhIwPPP\nP4+RI0fimWeeMfnmvYQ8qCjAahFgWUi2JCGEEEJIj8nKyoKVlRV2796Nd955B0eOHIFOp8OOHTvM\n3TRCLILFpAj2FC7A0ul00Gg0fE19QgghhJC+KCsrC05OTtiwYQNfEnzixIk0g0VIJ/X5GSwrKyt+\n4SSlCRJCCCGkr8vKysITTzxhsN9ScXExBg0aZMZWEWI5+nyAJRAIaB0WIYQQQsj/y8rKwsiRIw0e\ny8jIwJAhQ8zUIkIsS58PsID/pQnK5XIzt4QQQgghxHwaGhpQXl6O4OBg/jGZTIbi4mIMHTrUjC0j\nxHJQgAWqJEgIIYQQAuhnr6RSKfz8/PjHMjMzIRaL4e/vb8aWEWI5KMACBViEEEIIIYA+wAoMDDTY\n2DczMxMBAQGwsrIyY8sIsRwUYIECLEIIIYQQAFi6dCliYmIMHluyZAliY2PN1CJCLA8FWKAAixBC\nCCGEEGIaFGCBAixCCCGEEEKIaVCABcDW1hYABViEEEIIIYSQ7qEACzSDRQghhBBCCDENsbkbcD+g\nAOvBIZPJcPXqVahUKkyfPh3W1tbmbhIhhBBCCOlDKMACBVgPkp9++gm3bt0CAAgEAsyZM8fMLSLE\nPFiWRUVFBQQCATw9Pc3dHEIIIaTPoAALhgEWy7IQCARmbhG5Fw0NDUhPT+f/nZycjEmTJsHBwcGM\nrSLEPE6ePInr169DIBBg8eLFCAwMNHeTCCGEkD6B1mDhfwGWTqeDRqMxc2vIvbp58yZYloWvry8G\nDBgAhmFw+/ZtczeLkF5XUFCA69evA9DPZB09epSubYQQQkgvsagAq6KiAqtXr0Z4eDgeffRRfP75\n51CpVACAoqIirFixAiEhIZgzZw4uXbrU6eNaWVnxO5ZTmqDlKiwsBAAEBQXxo/V5eXnmbFKXsSwL\nhmHM3Qxi4a5cuQIACAkJgaOjIxQKBbKysszcKkJId8hkMtTW1pq7GYSQTrCYFEGWZbF69Wo4ODhg\n3759aGhowHvvvQehUIh3330Xr732GoKCghATE4P4+HisWrUKcXFx8PLyuuuxBQIBbGxsIJPJoFAo\n4Ojo2AvviJgSy7J8gOXj4wMAuHDhAvLy8sAwDITC+38sITk5GefPn4dGo0FYWBhmzJhB6apdVFxc\njBMnTsDa2hpz5szpk2uPVCoVcnNzAQCPPPIIHBwckJCQgBs3buDhhx82c+sIIffi6tWrOHv2LBiG\nwbBhwxAREWER9zVC+iqL+Xbm5eUhNTUVn3/+OQIDAzF27FisXr0aJ0+exNWrV1FUVIR///vf8Pf3\nxyuvvIKQkBDExMR0+vhU6MKyVVVVQalUwsrKCv3790f//v1hZWUFlUqFmpoaczfvrn7//XecPHkS\ncrkcGo0GV65c6dIsLAEaGxsRGRmJyspKFBYW4sCBA9DpdOZuVq/LycmBTqeDq6sr3N3d+aAqPz8f\nWq3WzK0jhHRVbm4uTp8+zWc3pKenIzk52cytuj+wLIv8/HyUlpaauynEjORyOaqqqszdDAMWM4Pl\n7u6OXbt2wc3NzeBxmUyGGzduYNiwYfyGwQAQGhqK1NTUDo/JMAzfAePKeTc3N/fJTpmlKykpAQD0\n798fLMsCADw9PVFcXIySkhK4uLiYpV3cudTROSWXy/HTTz8BAMLDw+Hg4ID4+HgkJCRg5MiRsLe3\n75W2Wrpz585BrVbDzs4OSqUS9fX1SE5ORmhoqLmb1iu4c+zOnTsAgMDAQDAMA2dnZ9jZ2aG5uRmF\nhYUYNGiQOZtJHgCdua5ZAp1OB6FQeF9nCjAMg1OnTgEARo8eDQ8PD5w+fRo///wzRo0axS9veFDd\n7Vw7fvw4fv/9dwDA448/jvDw8F5rG7k/JCUl8bO7oaGheOKJJ+7pO23q5RkWE2A5ODjg0Ucf5f/N\nMAz27t2L8ePHo6qqCh4eHgavd3V1RXl5eYfHzMnJ4f+/Wq0GANy+fZtf10UsR0ZGBgB9uicXWHM3\nnrS0NLN3BNLS0tp9Lj09HQqFAv369YObmxsEAgGcnJxQX1+P48ePY9iwYb3YUsukUqn4zzgkJAR1\ndXVIT09HYmLiA98BaY0LsNRqNf9dcHR0RHNzM65du4a6ujpzNq/bWJaFQqGARCKBWGwxt7AHUkfX\ntfsZy7L47bffUFFRAQcHB0ycOPG+vU4UFhaipqYGVlZW8PDwgEgkglQqhVwuR3x8fJ9JgzZ2rlVV\nVfHBFQDEx8dDp9PxGUnkwVdbW8uvOQb0Sy10Oh0GDBhgxlbpWezdae3atUhPT8fhw4fxww8/QCKR\nGDwvkUj4oKk9AQEB/OxAUVERKioq4ObmhpCQkB5rN+kZmZmZAIBhw4bxfz+WZVFQUACGYcz2N9Xp\ndEhLS8OIESOM3sBVKhXOnj0LAJgzZw5fnMPW1hbR0dGoqKjA888/T7n2d5GYmAiWZeHl5YWpU6ei\nsbER6enpqK+vR2BgIOzs7Nr9WZZlUVVVBUdHR0il0l5stWnpdDqkpqaiqakJADBhwgQ4OTnxz5WW\nlkKj0Vj09U2tVuPw4cPIy8uDRCLB008/jaCgIHM3q8+523XtfpeSkoKKigoA+tTi+vp6TJ8+3cyt\nakuj0eDixYsAgClTpiAsLAwAUFNTg2vXrqG5udmiv8+d0dG5FhkZCQAICwtDWVkZiouLIZPJ8Mgj\nj5ijqcQMuHNg+PDhcHV1RUJCAvLy8jBnzpwu95tkMpnBxEt3WWSAtXbtWuzevRvr1q1DUFAQpFIp\n6uvrDV6jVqv5tL/2CIVC/gvLpReqVCqLvGH0dVzuraenJ//34wqcVFRUmD0NRCQSGT2vMjIyoFKp\n4ObmhiFDhvBtHDJkCGxsbPi0Ln9//95ussVgWRY3btwAAIwZMwYikQjOzs7o378/ysrKkJubi9Gj\nRxv9WYZhcPLkSaSmpkIqlSIiIsKi94tqbGwEwzCwtbWFi4sLfz5xo3nl5eVm/y50x88//8xXBlWr\n1Th27Bj+/Oc/9+nCRCqVCkKhEFZWVr3+u9u7rt3PWJblR7y9vLxQWlqK5ORkTJ061SyfYUeuXr2K\npqYmODg4YNy4cfxn/fDDD+PatWvIzc2FQCDoEwNwrc+1pqYmFBQUAAAmTpyI8vJyHDhwALdu3cKs\nWbMs9hpHOq+srAwFBQUQCoWYOXMm7OzskJSUhMbGRhQUFCAgIKBLxzP198jivpUff/wxvv/+e6xd\nuxazZs0CoO9UV1dXG7yuurq6TdpgR6jIheVSqVRoaGgAoF+rx/Hw8IBQKIRCoUBjY6O5mtchbmPk\nUaNGGdwQRCIRnxrYcvNkU2JZ1uypk6ZQVFSE6upqWFlZGVTJ44JSrrqkMWlpaXwanUqlwrFjxyCX\ny3u2wT2I+x54eXkZnE8tvwvcayxNbW0tfv31VwDA4sWL4e3tDZVKhcuXL5u5ZeZTUFCAdevW4auv\nvkJiYqK5m2MRysrKUFdXBysrKyxfvhwODg5Qq9V85c37hVwu5wsdTZ061SAd1svLC9bW1lCpVH22\nuAO3LGDAgAFwdHSEv78/JBIJZDIZvyabPNi49NDg4GA4OjpCLBZjxIgRAMAPupqTRQVYmzZtwoED\nB/DNN99g7ty5/OOjRo3CrVu3oFQq+ceSk5MxatSoTh/bnAGWXC5Hfn4+rf26R9y+ILa2tgaFTsRi\nMR9wtV6Pp9FocPXqVdy5c4cvitHb5HI5v17G2DqrIUOGANCvFTR1G9PS0vDVV1/hiy++sPiOWUpK\nCgB9ikDLFD9u1qa4uNjoz7Esy3dgJk+eDHd3d36dkqXiZvJbb08hFov5AaeysrJeb5cpcH+XwMBA\nBAUFYdq0aQD0N9K+eO1UKpU4cOAAVCoVtFotzp4922c7211x69YtAPr9EiUSCYKDgwH8r8N+vzhz\n5gyUSiU8PT0xcuRIg+eEQiEGDx4M4H9rLvua7OxsAMDQoUMB6K9xXLowt2SAPLhYluW/s8OHD+cf\n574rt2/fNvsAssUEWLm5udiyZQv+9Kc/ITQ0FFVVVfx/4eHh6N+/P9asWYPs7Gzs2LEDv//+OxYu\nXNjp4/dUgFVaWopdu3bh4MGDRjcILCgowMaNG7F7925s2bLlvp1puZ9xn6uxSoEPPfQQAMNOJcuy\nOHz4ME6fPo09e/bg6tWrvdPQVrKyssCyLDw9PY223dfXFyKRCI2NjW1maLujuLgYsbGxUCqV0Gq1\nOHPmDG7fvm2y4/cmpVLJd5jGjBlj8BwXYFVXVxsMvnBKS0tRXV0NiUSCCRMmYPLkyQD0AVtPbvbM\nMAwSExPx3Xff4ccffzTpjFl7ARagr7AJWGaApdPp+NFKrkrY4MGD4erqCrVafd91jntDSkoKlEol\nXF1dERgYCJZlkZCQYO5m3fe4gITrjHP/y6Wb3Q/S09P5Efi5c+caTV3y9fUFYN52V1VV4dq1a71+\nTdHpdHxmQsv0eS4lrK8GnX1JWVkZGhoaYGVlZZAK6OXlBTs7O6jVahQVFZmxhRYUYJ07dw46nQ5b\nt27FpEmTDP4TiUTYsmULqqqqsGDBAhw/fhybN2/u1CbDnK4GWCzLIjc3l69YYkxzczOioqJQUlKC\nzMxM7N+/32CkVaPRICYmhn+ssbERx44d63SbTY1hmE51LFmWxa1bt/Djjz8iKSmpRzuj3O/76aef\nsGnTJqMdqc4EWC1nsLKysgwCioSEBJONgMtkMqOdeWO41L/2qgRaWVnxN1FTpa+wLIv4+HgwDIOh\nQ4di7NixAPSjpT35d+QKSZj6d9y4cQMajQZubm5tqgbZ2dnxRR6Mjexz50BAQACkUimGDh0KW1tb\nNDU19Wi60JkzZ3DmzBkUFRXht99+Q1RUlEn2p1Kr1ZDJZACMB1hctbHKyspu/67eVlhYCKVSCVtb\nW/j5+QHQVwzlRi6zsrLM2bxex1XBA/TFTGbMmAFAP6rf3NxszqbdVXl5OXbv3o1PPvkE//3vf5Gc\nnNxrWQQqlYq/F3DbFXh7e0MgEKChoeG+GOCsq6vD8ePHAQCTJk3CwIEDjb6Ou96VlpaaJQujoKAA\n27Ztw08//YSdO3f2akpWWVkZ1Go1bGxsDKoocrN6ZWVlnb4PE8vE9Z8CAwMN1k4KBAI+6DZlwYp7\nYTEB1sqVK5GVlWX0P0B/sdy7dy/S0tJw8uRJTJgwoUvH72qAde7cOezduxcnT57EiRMnjF7grl+/\nDplMBpFIBCsrK9TU1OCXX37hn09MTERTUxOcnJzw6quvQigUIi8vr9dHgxiGwenTp/HZZ5/hiy++\n4Dvgxuh0OkRHR+Pw4cP47bffEBcXh4MHD/boBT4hIQHXrl1DTU0NoqOj23QQubLTzs7ObX7W2AwW\nt0HjI488Ajc3NyiVym7fHLRaLQ4dOoSvv/4a//nPf3D+/PkOPxOlUskv1u+oDDvXCehoHVFXFBYW\noqCgACKRCLNnz8aMGTNgY2ODmpqaHgsqVCoVIiMjsWXLFuzevdtkNz6dTsenN4aHhxtd1MwFGsa2\nbOBSTLiiFmKxmP9b9FSKSV5eHp/qNmbMGFhbW6O4uNgkaYncOd6vXz/069evzfP3GmCpVCrcuXPH\nrJs4cn+PoKAgg9F8Lr0rJycHGo3GLG0zh6qqKtTW1kIkEuHhhx+Gh4cH+vfvD4ZhemzNpikUFRXh\nu+++Q35+PnQ6HWprazu8h5pacXExWJaFo6MjXxhFKpXy3w1zj3jrdDp+0HXAgAF47LHH2n0tV9BJ\noVC0KfLV07RaLWJiYvh+AsuyiIuL67UANT8/H4D+/tjyuu/g4AAXFxe+gnBPUqlUOHHiBDZu3Ihj\nx471ufX7LMuirq7OLMF9y/RA7h7QEhdgceeJuVhMgNXTjAVYMpkMx44dw/79+w06JZWVlQZ192/c\nuNHmwsyyLL94ft68eYiIiACgX0fQ0NAAmUzGr/+YPn06PD09+c4dt5C7t8THx+Pq1avQ6XTQaDS4\nfPkyDhw40KbMPRdEZGRk8Dd2sViM27dvG+xFYUpardbg82g5csvpKMDi0qIaGxvR3NyMpqYmflRj\n7NixfHW57qbIHT9+nP/C63Q6/PLLLx12mrOyssAwDNzd3dtsnt2Sj48PAH1gZIoL2fXr1wHo85Qd\nHBwglUr5nGXuOVO7fPkyn7JRWFhoMMhgTEVFRaduVtx3yc7Ort1Sxdy6o9ZBhVKp5AOSlukFXD4/\n9/cxJYZhDDaUfvLJJ/lCPZcvX77rthJ3w72f9mbuufWIdXV1nf5dmZmZ2LBhA/bs2YMtW7YgOjq6\nTSCjUqkQFxeHDRs2ICoqyuRFNFiW5b+f3LpEjqenJxwcHKDVattda/cg4gYW/fz8+C1KuPuHuUdt\n2yOTyXDw4EFoNBoMHjwYr7zyCmbOnAmBQICUlBScOnWq29e4yspKJCUltVvkgOt0t95sm5slMvc5\nlJiYiJKSElhbWyMiIqLDCo0ikYgPDHu7qENaWhqamprQr18/rFmzBgMGDIBare61FFUuI8HY7F5v\nrE1jWRbHjx/H9evXUVdXh9TUVBw6dMjsa356i1wux549e7Bx40Zs2bLFpEsYOqOyshK1tbUQi8VG\nq/5y/aaysjKzDrxRgPX/uABLq9Xyf5CLFy8iNTUV2dnZOHToEP94QkICWJZFcHAwX0iDC6Y45eXl\nqK2thZWVFYYNG4agoCAMGjQIWq0W58+fx5kzZ6DRaODt7c2nuYSGhgLQd2p6Ou2OU11dzQcCTz31\nFBYsWACxWIzs7Gzs2bOHTzdRqVQ4ePAgbt++DbFYjMWLFyMiIgJTpkwBoC+f3BMjGRkZGZDL5XBw\ncMALL7wAQF85puWFrKMUQalUCldXVwD6LxvXMRkwYABcXFz4L2d+fv49d3ALCgqQlpYGgUCApUuX\n8uk658+fb3dEjwvG7raJsLe3N0QiEZqbm42u4esKpVLJj263XK/E/f/bt2+bPK1CpVIhKSkJwP8W\nnyYnJxtNyWQYBjExMdi2bRvWrVuHmzdvtnvcwsJCXLhwAQAwbdq0dssrcwEWt+cNh7tBOzk58Xvh\nAfp1DVKpFM3NzSYvGJCcnIyqqirY2NjwI9MjR46Ei4sLFApFtzdt5drLDSq0Zmdnx+8H1pnZqPT0\ndBw6dAgKhQI2NjYQCARIT0/H/v37+ZRGtVqNffv2ISkpCfX19bh9+zZ2795t0tHcyspK1NfXQywW\n8+mBHIFAwHeWe2u0kmVZsxXG4XCzzS33AGs5anu/dfRYlsWxY8fQ3NwMDw8PLF68GA899BAmTJiA\n+fPnAwCSkpL4Qcd7cePGDWzfvh1xcXHYtWsXf91picsE4DpgHC7TwZzpswqFgn//TzzxBJ/e3BFu\nMKW3i5twn+24ceMgkUj4e96NGzd6pQorF1AaG0zi0up78nqQl5eH9PR0CIVCTJo0CRKJBPn5+UbP\nuQfRTz/9xH++1dXViI6ONkmae2dx/Rh/f3+je1c6OjrCwcEBDMOYtaIkBVj/TyKR8KknCoWiTdpY\nTU0Nrl69ioaGBv6PO3nyZH7k/NatWwY3NW70xNfXFxKJBAKBAI8//jgAfYDAdchnz57NT3H7+PjA\n1tYWSqWy1xauJiYmgmEYBAUFYfTo0RgxYgSWLVsGGxsblJSUYOvWrTh+/Di2bduGnJwcWFlZ4Q9/\n+AN/Mx83bhy/D1lPXNC41KBRo0bB398ftra2BqVptVotH8QYC7AAw8X93PG4kXA3Nzc4OjoaLJrt\nqp9//hmAPlDx8/PDhAkTMHDgQH42sDWVSsWPMt8twBKLxfxNpLtpgrdv34ZWq4Wbmxu8vb35xz08\nPODu7g6GYUy+liU7OxtKpRLOzs6YP38+XF1doVKpjP6elJQUPqjSaDQ4duxYm8AI0Hcu9+3bB61W\ny5+37eFGeFuv/+JGqluv2xKJRN3O32ZZFpWVlaipqeEfk8lkOH/+PADgscce4wd0hEIhP7DCpa7e\nK24Gq70AC2h/Rq+19PR0xMTEgGVZjBo1Cm+//TaWL1/OdyQOHz6MxsZGREVFoaioCNbW1pg9ezac\nnJxQV1fHb45qCsZma1oydRptR7gZvU8//RRHjx7t9qzjvdDpdHyngetMAvogwdbWFmq12uwzMa39\n+uuvyMnJgVgsRkREhMGAyKhRozBnzhwA+kEprmhNV5SXl+P48eNgGIb/bp0+fZrPbgD09wruc2s9\ng8VdJ4xdb3oLN/BkrGpge7jreG92Iuvr61FWVgaBQMD3f3x8fNC/f39otdoey4TgyGQy/p5v7FrH\nfScqKiraBHv19fUoKCjo9gAJd18PCwvD9OnT+b5dQkLCA7/2q6ysjB8MXLhwIezs7FBZWdnt+1dX\ndJQeCOgH3lpm/5gLBVj/TyAQGKQJcjn9bm5ueOaZZwAAV65cQVxcHFiWha+vLx566CEMGjTI6E2N\nC7C46WpAP9oyc+ZM/vdNmzbNoKMrFAr5EcneWLStVqv5Dm3Lnc8HDhyIF198kS9bnZKSgvr6ejg4\nOGDZsmUG76nl3kMdpQmWlZUhPT29Sx0ShmEMRmpbfmm4AJTLPZdIJAYl2lviPuO0tDR+3ROXCtby\nmPdyk6qoqEB+fj4EAgEeffRR/phTp04FoP9MWk9Rc+VDXV1dDfbtao+pLhQtZ81ar1fiAj1TV2Pj\nUruCg4MhFAr5z7118MIwDN8pnzlzJgIDA6HVatuszbhz5w6ioqKgVqsxePBgLFy4sMMNJZ2dnWFl\nZcWv9+C0F2AB6FaAJZPJ8N1332Hr1q3YtGkTvv32W6SlpeHw4cNQKpXo378/X1iEExISAqFQiLKy\nsnseQVcoFHxnsqPiPp0JsJKTk3H48GEwDIMRI0bgqaeegkgkwqBBg7B48WKIRCJkZWVh3bp1yM/P\nh0QiwZIlSxAeHo558+YB0I9wmypVkDuHWs7WtMR1louLi3t0FDU/Px/R0dFoaGjgqxru37//nmaL\nqqurceDAAURFRXW5U19WVgatVgsbGxt+dh7QX3e4zqU5OxWtlZSU4OzZswD0321j+1OGhYVh3Lhx\nAIDY2NguBYgajQZHjhwBwzAYMmQI3nnnHfj5+UGn0/GDX8D/PjdbW1uDnBsOrAAAIABJREFUzw34\nX/psc3OzWYqEsCzLBybjxo3r9Ca53L2trKys17JeuL6Jj48PPyMuEAgQFhYGQD9Q1pMzvNzgqpub\nm9HZC3t7e/4caznom5aWhs2bN+OHH37A999/f8+pY3V1dbhz5w4EAgHGjx8PABg9ejTc3NygUCja\nLGF40HCB1MMPP4zhw4fzWUxXrlwxei3kUrz379+PzZs34/vvv0dsbCzS09Pv+dpZVVUFoVDYJmW8\nJS59lAKs+0TLAKvlCCG3iFipVPI3e64DLRAI+LQVrvOu0+n4AKB1SsuECRPw6quvYvXq1Zg0aVKb\nNnCdiHstOMAt/jty5Ah++umnDhedZmZmQq1Ww8XFpc2Inru7O1auXIkFCxZg0qRJePLJJ/Haa68Z\n7ZByKY7Z2dlGL6wZGRnYtWsXoqOjsWPHjk5X7CsuLoZKpYKNjQ3faeTayX2+XKfZ2dm53ZsS16mv\nqqoCy7Lw9vY2WPfE3aTuJc2Cu9hwG91xfH194e7uDo1G02Z9XkeBjjGmGKFXqVR8UQdjs2Yt12+Y\nqqIiwzD87+QuhFxKZk5OjkGHID8/H01NTbC1teXXJ0kkEpSUlPCfcVFREaKioqDT6RAUFIQXXnih\n3dRAjkAg4P/WLdPiuKIXxoIRbk1WSUlJl9JdWJbFoUOHUFxcDIFAAIFAgOLiYhw5cgQFBQWQSCR4\n6qmn2pRctrW15T+Xe13LyJ27tra2/HXMGK7j0V6K4OXLl3Hy5EmwLIsxY8bg6aefNmivr68vFi9e\nDAcHBwD6WeMXX3yR/w75+/tj8ODBYBim3e0PZDJZpzuETU1N/LW4vZupq6sr7OzsoNVqeyxVSqfT\n4eTJk2AYBsOGDcPixYshlUpRUFCAc+fOdelYCoUCu3fv5quZ7t69u0udeu56MnDgwDbXj7vt/dYR\nbmbMVOmdDMMgMzMT+/bt47+zXCfcmMcffxxBQUHQarU4cOBApws3xMfHo6qqCvb29njqqacgEAgw\nffp0APrMEu6z5e4ZPj4+bT43iUTCr+E1R5pgYWEh6urqIJVKDTZLvxtXV1dIJBJoNBqTrYNpbm7G\nhQsXcOnSJaOzMa2zQDjDhw+HRCJBbW1tj3Zque94RwNJ3EADN9BdV1eHEydO8AMwRUVF9zzLzmUw\n+fr68mmcXKogAFy9evW+Lbij0Wi6NcOm0Wj42StuacHo0aNhZ2eHxsbGNsWhWJbF2bNnERUVhezs\nbFRXV6OwsBA3btxAdHQ0tm7d2uWibtzn7+fnB2tr63Zfxw1MFxUV9drgQ2sUYLXQMsDivsTe3t4Q\nCoV49tln+T/m+PHjDXK4WwdYFRUV0Gg0sLa2Njpa5+np2W5+9eDBgyEQCFBdXd3lEWCtVotjx47h\n0KFDSEtLw7Vr17B9+3aDNImWuGCxvY4+tyv29OnTMWbMGKPpOYD+RJZIJGhubm7zZdFoNHzHBNCn\nWnKjmXfDXRz9/Pz4Th73uXPVoLj31l56IKBfZ9NyprB1QYSWaRZdGXnT6XR8OkvrYwoEAn6/nvz8\nfP64arWaDzram95ujRuJqa2t5ctwd1V2djZ0Oh1cXFyMnpPu7u5wdXWFTqcz2Z5YFRUVUCqVkEql\nfMdv4MCBkEqlUCgUBpX9uM9x6NChEIvF6NevHz+Ice7cOSQkJGDfvn3QaDTw8/PDs88+2+EC8Nbv\nDQDfAZHL5WhqagIAo5+Fg4MDnzLUlYGO1NRUFBUVQSKR4LXXXsNbb72FcePGwcXFBb6+vli2bBm/\n1qM1LiUoLS3tnkZ/W64p60h7a9IA/WBBfHw8AGDixImYN2+e0f13/P398cYbb+Ctt97CqlWr2rwn\nroJrcnKyQWedu9l+/fXX2LFjBzZu3HjXjhh3Lnp7exuslWup5TqsnkqtTklJQU1NDezs7PDUU08h\nKCiIXzuUmJjYpZnfCxcuQCaTwcbGBnZ2dlAoFPzn3hktA6zWWhZr6Mp5VF5ejg0bNmDXrl34+uuv\nkZiYeM+zEHK5HOfPn8eGDRtw8OBBKBQKeHt7Y8GCBR0OKAmFQkRERMDT0xPNzc3Yv3//XTuDmZmZ\nfBGk+fPn81kMXl5e8PLygk6n4zcib2/9Fae92V2GYXDz5s0e3ZKEO3+GDh1610GjloRCIZ8mZ4o0\nQZlMhu3btyMhIQHnzp1DZGSkQbAgl8v57xg3cMmRSCT8YGtPpgl2JsDismy4Gaz4+HhoNBoMGjQI\nixYtAqAvknQvgwlcB7/l5raAfkbH0dERzc3Nbdbk3w+uXbuGr776Cl9++SWOHTt2T+fynTt3oFar\n4eDgwAexYrGYT3NvXaAtJSWFr/Q7fvx4LF26FAsXLsSECRNga2uLmpoa7N69u9NBFrdFEHD3/pOH\nhwckEgnUarXZ1lZSgNUCF2BxI6zA/77Ebm5uWLVqFd566y2+8heHC7BKSkqgVCoN0o86O9XPsba2\n5jv8XencyeVyREZG4saNGxAIBBg7dizc3Nwgl8uNlsDV6XR8ClRH06ydIRKJ+M+gdZtTU1Mhl8vh\n5OSEpUuXAtB/6bgObke4G2LL2TUPDw8IhUIolUo0NDQYzGB1ZNq0afDx8cHkyZPbbEj70EMPQSgU\norm5uU1Q29TUhNOnT+Py5cttRqXy8vIgl8tha2trsNkhZ+TIkbC2toZcLuc/l+zsbGi1Wjg7O7fb\n2W7N2tqa7/DfawfybrNmAoGAn8VqOYtSXFyMX3755Z5+L/f3GzhwIN9RFwqFfCeQ6yi2rBLXcnYt\nPDwcXl5eUCqVuHDhAlQqFXx8fPDcc89BLBZ3uh1cOhAXYHHBhZOTk9EUE+B/s1idTRNkWZa/uUye\nPBmurq6wt7fHE088gddffx3Lly83CPJbCwoKglQqRWNj4z2N/nKdjpazqMZwwaZMJjOYnautrcWp\nU6f49s+YMeOuneF+/foZfY2/vz88PT2h0WgM0mUSEhL46qtCoRANDQ2IjIzssDQ2l450t2tU69Th\n1u7cuYOtW7di7dq1XS7Iw7IsPxv36KOP8udMcHAwn1p97NixTnVw1Wo1v7Z34cKFeO655wDoA+vO\nzJayLNthgPXQQw9BJBJBLpd3uiiOQqHA/v37+WuyTqfDmTNn2mw1UVNTg4yMjA4H/kpLS7F161b8\n8ssvaGxshLW1NSZMmIDly5e3+11rSSKRYPHixbC3t0dVVRUOHz7cbtpReno6jhw5AkB/rWhZDRQA\nP1vG7VVp7H7SUnuDDydOnEBMTAzi4uJ6pJx8y5LTrYOWzuD6KKbY3uXMmTNoamqCVCqFSCRCaWmp\nQWVALkvF09PT6D2Xu7emp6f3SNlylmUNBr/bw/2Nq6urcevWLT4omj17NoYOHQpPT09otdoub88i\nl8v539/6miQSifjBpStXrpht1sSY9PR0/PTTT/wMXmpqKr8muCu46zG3ZIMzduxYCIVCFBYW8gOn\ntbW1fNXc6dOnY9asWfDz88Pw4cMxc+ZMrFq1CoMGDYJKpUJMTEynZv1KS0tRWVlpsKVKe1r2NcyV\nJkgBVgvcCGlRURE0Gg2srKwMUsns7OyM7i/j6OgIV1dXsCyL/Px8/gZoLJ2uM7jOOjcj1ppGo0FB\nQQG/D1hSUhK2b9+OwsJCSKVSvPDCC5g7dy4WL14MsViMO3futClAUVJSApVKBVtb2w4vVJ3Vch1E\nS1xnfdy4cfDz88PAgQPBMMxdR7h0Oh3/Oba8IYrFYr6TWF5e3qkZLEAfBL/44ouYOnVqm1F5sVjM\nBzAtU4yUSiV27tyJq1evIj4+Hvv37ze4aHLr14YPH250pF8ikfBVJrmOJje9Hhwc3KXguzuV0tRq\ntdEApjVuFi4nJwe1tbW4cuUKvv32W5w/fx4//PBDl7cPaK8j2HpNWVVVFWQyGcRiscHfWigUYsmS\nJRg2bBicnZ0RFhaGJUuWtDuT2p7WM1hcB6rlBpWttQywOtOhKisrQ3l5OUQiUZsAvjPEYjE/Incv\naYKdncGSSqV8ENYyTfDs2bPQ6XTw8/PrcO+dzhAIBHxH49q1a9BqtcjLy+PXw8ydOxd///vfERAQ\nwG/9YGzARa1W89fAuwVYLa8/rf9elZWViIqKQmVlJeRyOS5evNil9KDc3FzU1NRAKpW2mamePn06\nfHx8oFKpsGvXLnz11VdYu3YtoqKijKZhZmRkQK1Ww9nZGYMHD8bAgQP5mZbOjHrX19dDJpNBKBQa\nHcFvWRSns3s6Xbp0CU1NTXB1dcW7777LrxO+dOkSTp06hYyMDOzfvx+bNm3CoUOHsHHjRqPV0urr\n67Fv3z7IZDK4u7tj4cKFePvttzFz5swuzco4Ojpi8eLFsLKyQm5uLvbu3YuKigqoVCoUFhbi4sWL\n2LFjB79lQEBAAF9koKXhw4fD2toa9fX1/GbyEomk3YEtY+mzZWVlBn+X1NRUkxcQqa6uRmNjI8Ri\nsdGBurtpWcSpu+3g7k/Lli3DwoULAei/w1yaZXvpgRxvb294eHhAq9V2uipqXV0doqOjsXHjRuzf\nv7/DzjC33YpQKOzw+m1jY8Mvtzh8+DAA/fng6ekJgUDwf+x9d3wU5fb+2d1sekJ6JaETEgISeg0d\nlCoCEgtFugUExK4Xr6Jy9YpelUsRBbkgilQxVAOoSG8BaYHQQgoJIX1TdnfO74/9ncPM7mzf0L48\nn08+ypaZd3beed9TnvMczrjY62ARqyYsLEw2o56UlATe3t5QXFxsUQX3TkKr1cKWLVsAwGCHkaYA\nibbZCkQ0ofwT/Pz8eP86ePAgCIIAGzZs4KyhXF9aLy8vGDVqFPj5+UFhYaFNCqJkRyUkJFikBxKM\ng7liZGdnw+7duyE9Pb3WnOGHDpYI9MCQERscHCxrOMtBnMERR+4dgdjBMr7xJ0+ehM8//xyWL18O\nP/74I/z444/c4C8wMBDGjx/P3w8KCmKDwLgnE0V669evb3eWTQ5i7j8ZOBUVFbwZkWFPBf7p6ekW\nDVfqX+Dl5WUiBCHeUGzNYFkDGSXiKPQff/whMfyuXLnCkeyamhqOOlpSfKKF/OLFi1xzAQAWle/k\nQOl4RzJJtmbNgoKCeO589dVXTOWkepudO3eapZsaAxHNPgfGvb1o04qNjTXJTHl5ecHIkSNh+vTp\nMGDAALsMNQIFSW7evMkKfwDy9EBCTEwMuLu7g0ajsclwoTqxhIQEizVQlkDz6MyZM3aJNYhVtaxl\nsABMqVBFRUVsOD366KMuWQ+aN28O/v7+UFFRAZs2bYJ169YBgMGJb9u2Lbi7u8OIESMgNDQUysvL\n4eeffzbJVFy8eBH0ej0EBARYFYMJDQ0FNzc3qK6ulqg3AhjmLW30ycnJAGB4tm2ljdDa2apVK5Ms\njEqlgpSUFKYLVVZWgkajgYyMDFi+fLlJXQwZdK1ateLfmdYCW2iG9ExFRUWZfRbsqcOqrKzkwEm/\nfv3Ay8sLOnfuDI8++igAGMRK1qxZw4YVSR9v375dcnySYddoNBAZGQkTJkyA5s2b25VpFiMqKgpG\njhwJarUarly5AosWLYJ58+bBsmXLYM+ePRzM6Ny5M6SkpMjShdVqNe9/lIWJi4szu6eLG3HT3kQG\nXWJiIt8nc7WFVVVVDqlKitc/R9Y32g/z8vKcMhRpHsTFxUFUVBT/V6vVwqFDh0Cr1XJG31ymTaFQ\n8O907Ngxq8GpmzdvwpIlS+DMmTNQVFQEFy5cgGXLljGtzBgUSAoLC7P6W4mNeg8PD4kT3rx5c1Ao\nFNxOx1bIiZeJoVarWfhi7969dmfKMzIyIC0tDfbs2QMnTpyAq1evQn5+PmRkZMD+/fvhwIEDdovi\nHDp0CCoqKiAgIAD69u0LLVq0gPr164Ner5f0c7WGmzdvQllZGbi5uUnUSwlUEnHixAlYuHAhXL9+\nHTw8PEzqeMXw8vLitebAgQMWs/jFxcUcfDQWijIHcw7WyZMn4dtvv4U//vgDNm7c6LBYkTU8dLBE\nIAeLjGpjpSFLIAfryJEjUFpaCiqVymEHKzo6mutUxMbdyZMnYcOGDVBZWQk+Pj4QHR0N0dHRUL9+\nfejTpw88//zzJkYjTfqMjAzJ5BUX/LoCYmoKGeHkTERGRrKRTjU2RUVFkhocY1gqSCYnIScnhxdH\nS816bYGx0IVWq2Wj+amnnoLBgwcDgKE3Wnl5OZw+fRq0Wi0EBgZazAAGBQWx8/bjjz8CIkKDBg3s\nHi9F6AsKCkwWIUEQLG6sRI+wRVSjX79+kgxRr169YMaMGVC/fn3Q6XQmsvN6vR727t0LGzdulBis\nJSUlUFZWBkql0uT3iYqKAqVSCeXl5VBcXGx103IWQUFBoFAooKamBsrKytjotWS0i2mvZFyaQ3V1\nNUcrHcleEerVqwd+fn5QVVVll4KhWFXLFoPW2MGied6oUSObVC1tgUqlgi5dugCAIdNLhjfJcQMY\njJ5Ro0aBh4cHZGVlmdQh0WZKxpC188nVouTk5MDFixdBoVDAkCFDoGfPnhAfHw+IaJM4xc2bN/le\n0FpqDC8vLxgxYgS8/vrr8MILL8D48eMhMjISNBoN/PLLL2xkiec6ZbYBbkeDr1+/blXswhI9kGCP\ng3XixAnQ6XQQHh4uadjZoUMHGDlyJERGRkJQUBC0a9cOXnrpJZgxYwbf15MnT/IafvDgQbhy5Qqo\n1WoYMWKETXRAa2jSpAlMnjwZ4uLi2IHy9fWF+Ph4GDx4MMycORP69u1rsRbT2BAT/+7GCAoKAqVS\nCTU1NSywQcHWFi1asMrhuXPnTISA9u3bx/UtlhrMy0Hc0sURkNCFTqczceiLiorg6NGjcO7cOYsG\npF6v54wTUSsVCgXf68OHD8Pp06dBp9NBnTp1LAbqWrZsCWq1Gm7cuGFxHdPr9bBmzRpWV33qqaf4\n/uzYsYNr58SgZ9tSKwpCvXr1YOjQodCuXTsYNWoU2yAABjEg+r3lAhvmAly27FXt2rUDd3d3KCgo\nsFkNurq6GlauXAmrV6+GvXv3wu+//w6bNm2C5cuXw8KFC2H16tWwY8cO2L59OyxatIhVaW05Lu3Z\n3bt3B5VKJbmvp06dsjmYR2wCuUAovU4CLTQPBwwYYJVVER8fDxEREVBTUyN7zwEMzueWLVtAEATO\n/NsCKtMpKSnhIGRRURELOUVFRYGbmxtkZmbarA1gDx46WCIYp3yt0c7EMM4ExcTEOBSNAjBQo4xr\nmsrKyjjN2759e5g1axZMnDgRJk6cCGPHjoUuXbrIni80NBQiIiIAETlKLQiCLP3OGbi5ufGiRxs7\nOUlibry7uzun7q01kjU3Plrcib7l7u4uS920B2IHSxAEyMjIgJqaGggICIAmTZpAUlISREVFQU1N\nDaSlpTFFpk2bNlaNv2bNmnE6293dXZbOYg3e3t5s/NLvioiwbds2+Pjjj+Gzzz6Tpe1otVqL6oHG\nCAsLgzFjxkBycjKMGTMGunXrBgqFgqVYT548KeHWb9q0CdLS0iA9PR2WLl3KhgnNr4iICBNKn1qt\nZqfzypUrbMTUloOlUqn4Wb558yZnOKw5ubbWYf39999QU1MDwcHBTj1PSqXSppYHxrDH6ACQOlji\nomF7s6rW0K5dO+jUqRMolUpo1KgR077ECA4OhscffxwADBFMWhPKy8t53jrTE4g27MTERJ4DvXv3\nBoVCARkZGVYbLlNUv2nTplb3A09PTwgNDYWYmBhISUkBtVoNWVlZbLhS9qpBgwaSTKOfnx/fO2sC\nM7Y4WPQe0erMARE5Q9O2bVvZ1g2TJ0+GadOmwYABAyA4OJgV+ho3bgyCIMDatWvh9OnT7Bz37dvX\nrn3TGkJCQiAlJQXefPNNePPNN2HWrFnw5JNPQuvWrVki3BKCg4OhdevWoFarIS4uzuIao1KpeI3N\nz8+H0tJSuHXrFrfyCA8Ph+DgYBAEQbImXLlyBXbu3AmICIIgwLZt22Trp7VarYmTIwiC0+ufQqHg\n+SOmuF+4cAEWLlwIv/76K/z000+wZMkSswyES5cuQVVVFfj6+kqUj5s1awaBgYFQWVkJmzZtAgDD\n82hpz/P29mbmxq5du8wG/w4fPgwFBQXg7e0NTz/9NAvHULuT1NRUkywzBZxtLWto1aoVDBgwQPa3\nJUqb2MGi/osffvghLF++XEKhKy4u5vlgyRn29PRkJ3XLli1WhakQEdavXw+XLl0CtVoNSUlJkJSU\nBA0bNoTAwEDw8PCAiIgISEhIgCZNmoBCoYDTp0/DihUrrNa5kZBHcHCwZB1t2LAh+Pv7Q2Vlpc1O\nIDlYxsrYYgwcOBDatGkDoaGhMGzYMJvWbrEg2NGjR2WzfkePHoULFy6ASqUy0UCwBHd3d342yDlO\nS0tjRsPEiRNh+PDhAGBY643ZD87ioYMlgrGRbs9G4enpKeHEO2ssGjtYO3fuhOrqaoiKioL+/fvb\nTF0EMF1I8vLyoKamxqzKoaOgRY8cLDIGjLNkRKc5c+aM7MMkCIJNDhYhJCTEaVpTSEgIqNVqqKmp\ngcLCQjY6ExMTWXKbUtknTpyA3NxcUKlUJjUZcvD29obJkydD7969LSrJWYNxHda+ffu4xkWj0cCW\nLVtMenBcuHABtFotBAQE2GyAR0dHQ8+ePSVzuF69ehAWFgZarZaN4MuXL0t49lqtFnbs2AEA1hW7\nyAg8dOgQVFdXg6enp83jcwTkTGVlZXEG0FqGWizXbmkjo3rC1q1bOz0PaUPKyMiwWU7XFlUtMcQO\nVl5eHhQXF4Obm5skg+EKUHP1d955B5599lmzQZBmzZoxnWfjxo1w8eJFNszq1q1r8xpl7GCJVT7F\nmYvg4GDOGlnKNmg0Gq6/oeyFrfD392dD8Y8//gBBECT0QGNQ0MlStrSqqooNTksOlp+fH0eNLWWx\nrly5Ardu3QJ3d3do0aKFlSu6DYVCAUOHDgUvLy8oLi5mIYq4uDibqTv2QqVSgbu7u0PP1+DBg+Gt\nt96ClJQUq/umuF6T1tnIyEgOkNG8ERulVFtIhjGAwYijvU0QBNiyZQt89NFH8Nlnn0lqq0lp1d3d\n3ebnVw60p5ADUl5eDuvXr+denl5eXpCfnw8rVqyQNfiJ5WBcG6xUKiUBQTEFzhK6dOkCnp6ekJeX\nJ0up1Gq18OeffwKAgSVBwW3qIdmkSRPQ6/USURGxwIUzvxWB7KLs7Gx2pHbu3MnP/NWrV2HdunXs\nIJKBTgwjS0hOToaQkBAoKyuDZcuWWaTWp6enQ0ZGBqhUKhgzZgwMGTIEhgwZAqNHj4bp06fDG2+8\nAVOmTIGRI0fC008/DRMmTABvb2/Izc2FFStWmKXVVVdXM9UyOTlZMveVSiU/83TvLUEcCLDkYHl6\nesKgQYPghRdesDkwBmCwCT08PKCoqMgkOFFYWMh2Re/evS3W3slBrPJNoicABsEThUIBzZo1g+bN\nm0uEqlyFhw6WCMYZLHsoggC3eclhYWFObzRUC3P9+nU4ffo0nDp1ChQKBQwcONAu50o8ritXroBO\np5PQ7+w9liWIqSnl5eVM3zMW+2jSpAm4u7tDcXGxrPJWTk4Oy3vLOSMeHh4S59dZeiCAVO42KyuL\nH3KxFGhMTIyEAvboo4/aFEUFMBhcXbt2dUpQhKJmFy5cgKysLFYB6tu3L/fg2LFjh2QxJ6POFpqV\nJSgUCjYMKbtCQgHt2rWD559/HgAMTnxhYSHPMXOGIDleRDGqX7++S+eiMWiOkGHk5+dnVSyjTp06\nEBoaCohoVtEzLy8PcnJyQKlUWqQf2Yrw8HAIDQ2VUHYsARHZiLZ1boWEhLASJ23AjRs3tls8xFbY\nMu969+4NcXFxoNfrYdWqVZx5on5GtoCuPy8vj9c5olMbB7zISExPTzdroJByaGRkpEMBs/bt24OX\nlxcUFhbC2rVroaioCNzd3WXrV8T9D81Rdug+BwYGmpWsJ1gq7iZQMKZly5Z2U/q8vLygXbt27PzG\nx8fDsGHDXFK/dzch7pknR90T3ydEhJs3b8LVq1dBqVRCjx49oE+fPuDu7g65ubnMGNm1axezCyor\nK2H16tVMV6Jz1KtXz6n1z1hJcPfu3Uy9mzp1KkydOhUCAwOhuLhY4jQAGAIRNFY5lkNcXBzX7jzx\nxBMshW8Jvr6+LJaye/dukzqn48ePs7qwceZcoVDAoEGDQK1Ww/Xr1znocOvWLaiqqgI3NzeXBIZ9\nfX15Hzp79izk5ubyferZsye4u7tDVlYWOyD2UNnd3d0hJSUF6tSpA7du3YJvv/1WtpZXq9XyPt6j\nRw+bhNGio6Nh7Nix4OPjA3l5eWb76B08eBCqqqogJCREtrcaBbqJrUNARP6tCdnZ2VBTUwNeXl4O\nB4gtQU4QDMDg2G3cuBG0Wi00aNDAJufeGGRLZ2ZmspBGXFycxFHr06cPKJVKl7Q6EOOhgyWCsw5W\n586dYcKECTB58mSbFiFLCAwMhMjISKZhABhoHI5EbkJDQ8HPzw90Oh1cu3bN5fVXBDE1hRaj0NBQ\nE7UXtVrNRoacmiAtqI0aNTK76Ygfclc4WAC3N6mDBw9CTU0N+Pj4mGRVBg0aBGPGjIGUlJRai9aa\nQ5MmTTjK891334EgCJCYmAidOnWCXr16Qb169UCr1XLUr7S0lH9LWzJt1kDZvOvXr3MBLjVYDAsL\n4wzI7t27mXpljkrRqFEjiTHmiDyxPaA5QpucrXOGDKrDhw+bpS4AGMZvq7NtCQqFgp34/fv3Wy1a\nLygogKqqKlCr1TZH9tzc3NgZEata3k0olUoYMWIEG1sKhQJ69eplV11KQEAAeHt7gyAIkJeXx3S7\nJk2amKwjsbGxEBERATqdju+hGDk5ORx579Gjh0OOg4eHB4tqEHvAXD/ByMhI8PPzg5qaGrNKoeYY\nAXKwVodVVlbGRrWj65i/vz9MmjQJ3nnnHXjyySddUnd1t0EZrIKCAr4P4jlYt25dFr/Jy8vj+0qU\nK29vb8527tmzB65evco1MIMGDYK6deuCTqdj0Q1X1Z+KhS40Gg2kFxRWAAAgAElEQVQHwfr16wcq\nlQr8/f3h6aefZtEQMZ388uXLUFVVBT4+PrJzi1RBn3jiCbvW6aSkJK7dFfddEosrdO7cWXaP9/f3\n59+RjGKay1FRUTb3QLQGMbuH7kliYiIkJydzC4YDBw5IxJgsZXDECA4OhgkTJnBftxUrVphQ0Khl\njb+/v13OQ1hYGIwdOxZ8fX0hPz8fli5dyuMDMGTfzWWvCBERERAYGAg6nY7tBK1WC6tWrYKvvvoK\nPvvsM14jKOtKfVprA7QOZWRkcADi2LFjLJYxdOhQh85dt25d8PDwgIqKCg44U0CaEBAQYDdLwRY8\ndLBEEBfuBQUF2e0kKZVKqFu3rssefqp7ATBIxPfq1cuh4ygUCl4ULl68aLUfiKPw9/cHX19fEASB\nqTfmMhjE0T516hSUlJRAfn4+lJWVSXoiGfc1EYMWxjp16rjMOCQHi2g4xk4AgOG3bNCggdO9wxyB\nOMoDYHDCBw0axBTGIUOGsCz/sWPHYN++fYCIEBsb6xIn1M/Pj6+b+PiJiYlcPEy8c0rBR0ZGmn2G\n1Go1F9rWqVPHLoqSIzAWb7CV/tuhQwdQqVRw7do1+Pnnn2Hz5s2QlpYGeXl5UFZWxgu2M+IWxmjd\nujV4eXlBUVGRVeluepbtXXfERoJSqWRH8m7Czc0NhgwZArNnz4bZs2czxc5WKBQKCU2Q6mTkqI8K\nhYINmsOHD0tqY65cuQKrVq0CQRAgPj7eKepku3bteJ318/OTrOnG46H1zhxN0Jb6K4K4Ibuck37o\n0CEQBAFiYmLsptyIoVAoXLbf3QugdSInJweKi4u5/oqgUqnYGbp48SI7WOI9qFOnTuDh4QH5+fmw\nfPlyADBQVNu0acMZ2RMnTkB5eTkHO511sIKDg8HT0xO0Wi2kpqaCTqeDsLAwyR4fEhIiySpR1oMy\nNM2aNXMpi4D2JHd3d7h27RoHLE6fPg0lJSXg4+NjMfDXsWNH7sVVUlIi6S/qKtB9u3btGjsTFBRp\n27YtqFQqyM7OhlOnTnErEXvO7+fnB+PGjYPo6GioqqqCNWvW8FojtpO6dOlit+JmaGgojBs3DurU\nqQPFxcWwYsUK+OGHH+D48ePw448/QlVVFYSFhZk0RCaIe1/SHNi+fTuzNXQ6HaxduxZu3rzJNpmt\nzqUjCA0NhdjYWEBE7p9K2b2ePXvapJArBzc3N7Y1AAx2pdw97Nu3Lzz99NOODd7cuV16tAcA0dHR\nkJ2dzQvR3UTTpk2hT58+UFpaCu3atbNJ998cGjZsCOnp6dyjQK1Wu7zmRaFQQN26deHcuXOcajVn\nDFD/l5ycHPjiiy/4deq87ebmZtHoS0xMZKqhqyIqxouHXFr9biM5ORl0Oh2Ul5dD7969JVHjoKAg\n6NmzJ+zcuRN+/fVXyXdchU6dOvFGpFKpJD2TGjduDIGBgUxRtLYYJycng6enJ8THx9cqPRDANBtt\nq8Pp5+cHXbt2hd9//11SDC3u2REdHe3Sjcfd3R26desGO3bsgLS0NGjatKlZSpg1KqY5NGzYkCme\niYmJTq0troYzmcDo6Gi4cOECU1XFwSVjJCYmwm+//caOcosWLeC3335jHn5kZCQHMByFSqWCsWPH\nQn5+Pvj6+lr8nZs2bQrHjx+HCxcumMjlC4LABqYt9zosLAzc3d2huroaCgoKoE6dOrB7927Izc0F\nb29vpspSlP4hDCAlQXJK5eptGjVqBOfPn4djx46xEyYOuHl5ecGAAQNgw4YNAGAIPFL9br169SAi\nIgLy8vJg+/bt3IrEGScXAFhIRtxUt127diZzt02bNnD8+HHIzc2F/fv3Q8+ePXk9N2eIO4PAwEDo\n378/bN68GXbt2gWNGzfm7FX79u0tCoH5+PhAfHw8/P3333Dt2jWm8rrSwapTpw7ExsZyoKp169bs\nZPv6+kJcXBycOXOG76U5BT1L8PT0hJSUFFi4cCHk5+fD/v37oWvXrpCZmQm3bt0CT09PhxkmwcHB\n8Pzzz8POnTtZCIICNGq1Gp544gmLe2tCQgL89ddfkJGRATk5OcwoeuaZZ+DAgQOQmZkJq1evZopn\nbQeWW7duDdeuXYPDhw9Dfn4+VFZWQnh4OAdvHUXHjh0hPz8fPD09oU+fPrKfUSgUTjPPjHFfZrBq\nampg0KBBkgLluXPnQlxcnORv5cqVdh975MiR8Nxzz9U6ZckWkJzmY4895nQGgowM2jhiYmJqJfJo\nXAdizhhQKBQwYsQIjkrQWIgL3L59e6uGloeHh0vT1T4+PhJjzJGmj7UNHx8fGDx4MDz11FOyPPSO\nHTtKriEuLs6l1xEbGwtDhw6Fxo0bw4ABAyT9x8QNZsPCwqxSHiiL5UrVMXPw9PSUiCzYQ//t3r07\njBgxAtq2bQvJycmSOgU3NzcYMGCAy2kT7du3h7CwMNBoNCY1EwRBEDjaaO89jomJgY4dO0KPHj1g\nyJAhLhnzvQBaf8jxjIqKMuvUqFQqdjA2b94MX375JTtXbdq0gbFjx7pkw1UoFBAeHm51PWvYsCGo\nVCooKiqCwsJCqK6uhtOnT0NFRQVkZ2eDVqtlpUJrELdHuHbtGvzwww9w6NAhyMrKYueqadOm98Q+\ndy/BuL2KHMuDnjVSTK1Xr57JvW3ZsiUMGzYM+vbtCxMnTuQ5KO4TRWJBrupFKWZ8eHh4yIoMKJVK\nzqIePnwYzp07B5WVleDt7e1yRgshKSkJmjZtCnq9HhYuXAg3btwAd3d3m4xmYmxkZWUx7dzR9jfm\nQNTHBg0amATWjetqHXVCfX19WSxk7969UFlZyc7MI4884lT9q4eHBwwaNAheeukl6NSpE0RHR0Oz\nZs2YnmgJkZGREBAQADqdDpYtWwaICHFxcdC4cWMYOHAguLm5sXNVr149q7WfzqJ58+YQEBDArXAA\nDFLvzgZg1Wo1DB8+HAYOHHhHqcz3XQaruroaXnnlFRMaRWZmJrzyyivcpRrAtKbKFtSpU8fhVOS9\nDF9fX46cAbi+/oogdrB8fX0tGs+BgYEwffp0KCkpAX9/fygoKIBjx46BQqFwadbFHgwaNAh+/fVX\naN++fa1nVWoDSqUSnn76aTh06BCoVKpaqRNr1aqV2Yhb27ZtISYmBoKDgx1uMlpbIFUn+n9boVAo\noHnz5pLNtaCgAK5fvw4NGzaslfVCpVLByJEj4ZtvvmEZ6H79+oFWq4WSkhIICAiAvLw8qKysBE9P\nT6hbt65dTS0VCoVdcrf3C4xrVK0ZjR06dIC///4bcnNzoby8HHx8fGDo0KEuV1S0Be7u7lCvXj24\ndOkSHDp0CDIyMqCkpESiMCdHWzaHmJgYuHz5Mrf3cHd3h169ekF5eTn4+/tDUlLSfS9KURto3Lix\nRepeYGAg+Pn58Vpizkk1p6LWsmVL2Lp1K//bVXOtadOm3EevR48eZo32pk2bQnh4ONy4cYPru2uT\nRaBQKGDw4MGwaNEipiV27drVpobsDRo0AE9PTxZcCAgIcLmRX6dOHRg1apTse40bN4bQ0FB27pxh\ntbRs2RL++usvKCgogLS0NA50ULmEswgODra7BQztbX/99ReL65DtFRgYCN26dYPdu3eDSqUyqVuq\nDbi5uUHfvn3h559/BgADdbK2bNU7gXvLArKCixcvwiuvvCJrSGRmZsKECRNc1ijzQURCQgLk5eXx\n5lobiIqKArVaDVqtlmUwLUGpVHIWJCIiQtKI9G4gMDAQRo8efVfH4CzEkfm7AWfpLrWFkJAQuHz5\nMqhUKqedotDQ0Fpfa0JCQmDIkCGwdu1aOHDgAJw/fx5KS0tBr9eDl5cXR81JDKY2OtHfb/D29oY6\ndeqw7LI1kQySRj5+/DggIrRu3fqu0iWbNGkCly5dkogQiIUvLNWlGqNBgwZcuA9gyMTWRiH3g4Ym\nTZpwE2q5bAnVrhw8eBDq1q1r917q6ekJjRs35hpBe+SsLcHb2xtmzpwJiGjRWaIAJhmxAK6tIZWD\nr68vTJ48Gfbs2QPh4eFmm3YbQ6VSQdOmTVm0w5X0QFugVCph9OjRkJqayiUJjkKhUEC3bt1g/fr1\nLKwTGxt7121WcrAADHNfHKTq2rUrBAYGQkRExB0bZ0JCArz88svcnP5+xn3lYB06dAg6dOgAM2fO\nlETQy8vL4caNG3Z3Qq+srASlUgne3t7sCGg0GnbgvLy8eKGqrKxkmo6HhwdH56uqqtiwcXd3Z05x\ndXU1RwTUajU/mFqtlmlwbm5unK7U6XTcFFKlUvEmr9frOXoj5ogKgiDpzSOmKIglO8XXlpSUBBER\nERAWFiaJArny2nQ6HYwaNQqUSiVH/+7Etd2r9018jQ/atQHcX/eNxDiCgoIkY72Xr6158+ZQVFQE\n27Ztgxs3boBSqQQ3NzeorKyE8vJy0Ov10KhRI6iurubj6HQ6voZ7+dpsvW/2zsmGDRvC8ePHoXXr\n1tCwYUPJNZi7to4dO94T1xYdHQ01NTWgUCjAw8MDnnvuOfjxxx+hqKgI3NzcJMaPtfsWEhICNTU1\noFarQaFQQJs2bVx6bZWVlVBRUQGenp4P1FoSEBAA/fv3N3G0xdfWtWtXiIuL46J8GpOt15acnAyV\nlZUs5ODKa1MoFFbnZGxsLCQkJMCZM2egXr16EBoayueurfumUqlk2y5Yu7akpCQ4fvw4qFQqiIyM\nvOP7m5+fH6SkpIAgCDatJZbuW0JCAvz2229QWFgIiAjx8fGg0+nu6t4dGRkJTzzxBJSXl0N8fDxU\nVFTwtSmVSi45qKiouGN7QEBAAPj4+HDd3Z1aS1wOvE/RtGlTPHDgACIinjhxAuPi4vDtt9/Gbt26\n4eDBg3H9+vVmv1tRUYFHjhzBuLg4BAC8desW6nQ61Ol0GB0djQCAAIDp6en8eocOHfj11NRUfn34\n8OH8+uLFi/n1l19+mV9/9913+fVPP/2UXx8/fjy//uOPP/Lrffv25df//PNPfj0hIYFfv3LlCr/u\n5+fHr+t0On794bXdG9fWsGFDrK6ufiCv7X66b8888wx++OGHmJqaet9e26xZs7Cqqgo///xz7Nev\nn+S+VVdX45EjR/CHH364L6/NlXOyvLz8vr625s2b4759+1Cn02FqaqpT9+2NN97ARYsWufTapk+f\n/n96LXlQri0vLw8rKiru+Wt75513cPHixVhWVnbf37fTp09jgwYNHs7Je/DaiouL8ciRI1hRUeES\nP+W+ymCZw6VLl1gt6tlnn4XDhw/Du+++K2l2ZwknT57kjI5Wq+XXz507x/8WN6O8dOkSyydToSuA\noRCTXifOLoChNwW9Lm5kVlhYyK+Le5+UlZXx6+Jas6qqKn79xo0b/LogCGblnB9e292/NoDb/YYe\ntGu7n+5bZmYmrFq1Crp16wYDBw68b64tJyeHX9+yZQsIggCLFy+WcNMLCwt5jpEi1v1wbbUxJ0tL\nS+HVV1+FwYMHS+jk99O1nT59GqZOnQpLly5lqW8AQ3TY3vu2adMmuHLlCrRt29Zl13bz5k2Hr+3/\n4pw0d216vf6uXduFCxdg2rRp0KVLl3v+vq1duxbOnTsHbm5u98R9c+baPvjgA0nPqnttTj7Iz5ut\n1+YqKBDtqIy+hxAXFwcrVqyADh06ACJy4TeBJvF3331n8l2NRgNnz56F6Oho8Pb2vm+oL85SKE6e\nPAmffPIJ9O3bF0aPHl0r11ZdXQ1vvPEGVFZWwoIFC8DT0/O+oofUBkXwzJkz0K5dO1CpVA/Utd1v\n9+3TTz+FuXPnQlRUFFy6dOm+uLaysjLo3bu3bENuwnvvvQevvvoquLm5walTp5h2cq9fG0DtzMnH\nH38cdu/eDQqFAq5evSqpt7vXr23btm3w+OOP87i6du0qaQmwa9cuLkK3dt8KCwsliqLHjx+HRo0a\nueTaNBoNpKenQ/PmzR84imBxcTH07dsXIiIiYN26dbLXdvToUfjPf/4DM2fOhI4dO9p9bcuXL4fJ\nkyfDpEmTYOHChXfs2mhO5ufnQ8uWLaGyshICAwMhMzOTqYq1ed+Ki4vBx8cH6tSpY/O1rV69GqZO\nnQoAADNnzoQPPvjgju9vly9fhpCQEEltmyNzMicnBxo1asTjnz59OnzyySd3de/WaDTw2GOPQXl5\nOcydOxeSk5Pv+XWyttaSiooKuHjxIsTHx7uGMuiSPNhdgJgiKIeVK1figAEDZN8jimBpaWltDe+e\nREpKiiR1WxvIzMzkczz99NN2f7+6uhqrqqpqYWS24+zZs1hdXe2SY+l0Ojxy5AjqdDqXHM9W6PV6\nFAThjp7zXsfTTz/Nc/N+ePYFQcCRI0ciAGBwcDB+/vnn+Pzzz2Pv3r3xtddew88//xwBANu3b4+I\nd2+u3UvQ6/Xo5eXF93nJkiVWv7N27Vps0KABxsbG4pIlS+7qczNjxgwJbcX477333rP5WMuXL5d8\nd9CgQS4b54M81zZs2MC/2aVLl2Q/89hjj/Fnjh8/bvc5QkND+fuZmZnODpmxdu1a/Oabb7CwsNDi\n51577TXJ3Pj+++9dNgZzmD9/PqrVaoyPj8esrCybv9e5c2ceZ8+ePWtxhPJYvXo1KhQK7Nu3r9PH\nmj17tuR3Dw0NdZmt4SjElLvQ0FCsrKzk9y5cuIAdO3ZkavqdQFFREc6ePRvHjRuHFy9evCPnJJSW\nlrqUIvhAOFhffPEFjh07VvL+O++8gy+99JLsd/8vOlh6vR5DQkL4QZo6dWqtnEdc/+Hm5oYajcbi\n59evX48zZ87E//73vzhx4kR0c3NDT09P3L9/f62MzxpWr16NAICTJ092yfHuhiGyd+9ebNCgATZr\n1gwPHjzo8uPr9Xq8ePGi7L3Nzs7GSZMm4datW11+XmeRlJTEc/Po0aN2f5/u4fXr13HatGmYlJSE\n//znP2vt3v7nP//h52jfvn0m71+/fh0BABUKBebn59s910pLS+/65u5qnDlzRmLAPPPMMxY/f+HC\nBfT09JR8Z+DAgZibm3uHRixFkyZNEABwzZo1OGfOHAwLC8OJEyeyM92hQwebjzVp0iQEABwyZAiq\n1WoEAGzSpAn6+PhgfHw87tmzx+FxPsgO1vPPP89z4dtvvzV5v6qqClUqFX9mxowZdh3/6NGjkvn2\n5ptvumTc4uP27t3b7Odu3ryJvr6+CADYqVOnO+K4bNy4UXLNtp4vOzsbFQoFf8/Hxwe1Wq3Lx3fp\n0iU8deqUyeu5ubmScf/9998OnyMvL4+DPxs3bsTIyEgEAPz555+dGboEGo0GDx8+jFevXrX5O088\n8YTkGhcvXoyIhgBfz549+fXXX3/dZeO0BPHz98gjj9zRgPtDB+v/Q+xgpaenY0JCAi5duhSvXr2K\nq1atwsTERDx27Jjsdy05WN988w2mpKTcM86XXq93yYJivKgnJCS4YHSmEBcsAgD+8ccfZj+7cOFC\ns5Harl273vFIsiAI6Ofnx2PIz893+pi1YYiUlpbi5cuXZd+7cuWK5BpCQ0NdOpfLy8uxXbt2CADY\nvXt3k3s0ZswYPve2bdtcdl5nodfr0dvbm8f2ww8/2Pzdq1evYteuXREAMDAwEJVKpWSufvrppy4f\nb2ZmJnp4eCAA4Jdffmn2c4888ggCAK5cudKuuVZYWIhBQUEYHR1tkQlwv8E4axMdHW1xHRkxYgQ7\nLnPnzuXfPDAwEH/99dc7OHLEjIwMBABUq9VYUlIieS8rKwsBAJVKpcl75pCQkMDG3FdffSVxCgAA\nw8LCrGY6zOFBdrDq16/Pv9Ho0aNN3k9LS5P8jrGxsSZzrKioCNu3b48xMTH43//+V/LeCy+8IPm+\nPU6zJbz33ns2OQPvvvsuAgC2atWKGSdKpRJv3LjhknEY48aNG5yxGzx4MLq5uSEA2LTuUJApISGB\n9zVHMoaW8N1336GbmxsqlUr8888/Je/9+9//lvyms2bNcvg8Y8eORQAD40AQBHz77bcRALBPnz7O\nXgLm5ubitGnTMCAggINuL7/8slUbqqysjANMNL6YmBjUaDT4v//9z2Qt1ev1To/VEjIzM03Wqfff\nf98lx75y5YrV9e6hg/X/YUwR3LlzJw4ePBhbtGiBjz76KG7fvt3sdy05WHRTn3/++VoZtz0oLCzE\n2NhYdHd3d3qSffzxxwgAknS7KxwIY3Ts2FHycHz88ceynystLUV/f3/eYHr06IHDhw/H5cuXo7u7\nOwKAxexLYWEhfvjhh/jLL7+4zBE7dOiQyw1nVxsi27dv52j0Rx99JHlPEATs27cvAgA2a9YMw8LC\nEMA+WpE1fPXVV5Lf6Mcff+T3CgoK+N7Zkj04evQo1q1bF7/44guXjc8cxEpCAIBz5syx6XuCIJjM\naQDAbt264bBhwxDAoEzkqKFqDhRV7NOnj8X5/eqrryIA4MSJE+2aa+JMc7NmzR4YOikZry+88ALP\nxTNnzsh+9tKlS+wsnzx5EhERT548yZlOlUplcR+xFfv378dJkybhwoULLX6OslS9evWSfZ8M/507\nd1o9561bt/j+kuF85swZXL16NaalpXGm7LXXXrP/gvDBdbAKCwslz3ndunVNno3XX38dAQBHjhyJ\nPj4+CAB4+PBhyWdGjRrFx1AoFPj7778joiFAVadOHQQwZMfIuSkuLnZ67Mbr1AsvvGDymaysLB7z\n2rVrERGxTZs2CHA7c+FKCIKAQ4cORQDAFi1aYFVVFRvyw4YNs/rdxMREBACcPXs29unTBwHAxGF1\nBjqdjvdJWgspoC0+P507Pj7eofOsWbOG5wKxES5fvszZudOnTzt8DStXrsTAwEC+BnGA9ZNPPrH4\nXaIHNmrUCDUaDcbExLATSMf8xz/+wRnP2mDEiEHU1b59+zKbyNPT02xA2VacOnUKPT090c/PzyK7\n5qGD5QKYc7AEQZAsirXtrVvDW2+9JVkw9+7d6/CxKNX71Vdf8aJhScreEVRVVXEEeOrUqRyxksN/\n//tfBABs2rSpye9MUWVLRjBtcgCAP/30k0vGTwYO/SUnJzt9TFcbIj169ODxKZVK3rgRDZE4WpDO\nnz/Pi2d4eDjW1NQ4fW69Xo+NGzdGAOCIZGJiIhsg8+bNk/x+4eHhFg13sbNvDyffEWzbtk0ytpSU\nFJu+t3XrVgQA9PLywgMHDuCpU6cwJycHEQ2/R4sWLRAAXOoknjp1itcga5SUTZs28cZvz1wbP368\n5PdwhvriSly7dg3nzJmDH3zwgUNGJxmLP/30E8vYf/bZZ7KfnTVrFm/mYtTU1OBTTz2FAICRkZF4\n69Yth64FEfHixYu8JgKALNWTQEacufE+88wzNgdMtmzZggCAjRs3ln2fKFshISEOUXAeVAdr7969\nCGCoeaRA1oULFySfIQd85cqV+OSTTyKAQQqfsG/fPr7fZLA2aNAAy8rK8F//+hcbtOL1dPPmzU6N\nu6SkhIMFlMX19fWV2DiCIOCQIUMQALBLly4m67YrMinG+P777xHAkJU9ceIEIiKePn2a17dz586Z\n/e7vv//Oa+/u3bvxnXfeQQD5rKKj2LNnD98rcnz/97//mZw/MzOTnaHr16/bdY4NGzbwGjB79mzJ\nexRIe+655xwa/4cffsjjT0pKwm3btqFer8cFCxawLUD7lRxIOp3m78aNGyUMjTZt2mB1dTUHDN5+\n+22HxmkLampq2Nldv369hKL4+OOPO3XsAQMGSOwSufKGjIwM/OSTTx46WM7CnINlHL3KyMiw67hn\nz57FZ555Bnfs2OH0GKurqznDQ9SmFi1aOEQXLC8v52juuXPnOMprL3fcGg4ePMib0/79+/n/5Yxs\nopnJGaYU2WvXrp3Zc4kdDeNFy1GQAfPcc88hgKH2xdjIO3v2LD7++OPYr18/vHnzptVjutIQOXv2\nLDtWvXr1QgDAqKgozM/Px+zsbKYH/Otf/0JEw4IVHh7uMmf6jz/+4I37+vXrHNXaunUr6nQ6jrAv\nWrSI52x6errssS5evCh51sQGSm2AnGcac1JSkk3fI5EJc88KbWQJCQkuywKR8zN8+HCrny0oKODf\n8MaNGzbPNTL8yIj85z//6YqhO4WDBw9icHAwX09cXJxdG11lZSXTjy5fvoxffPEFAshnhMQZdDnB\nn4qKCmzatCkCGHrwOArj+oauXbvKfq6kpITvxfnz52U/Q0EpW4rtyRg1rk0maLVarFu3LgIArlq1\nyubrIdC6lpaWhvPnz7/jxei1hSVLliAAYP/+/bFbt24IAPjNN9/w+zdu3OB7mZeXx0GsJk2a8PNP\njvL48eOxpKQE69WrhwCGfoi0LpKoxOTJkxEAcObMmU6NmxyFmJgYFASBe3zOmzePPzN//nwTZwfx\n9lqsUqmwoKBA9vharRYLCwvtWuPy8vI4C2LMtiBHb/z48Wa/T8b1pEmT8MiRI/jrr7+yc+oqTJs2\nDQEAx40bhx999BHfp4qKCjbKp0yZgoiIbdu2RQDAFStW2Hz8RYsWscMybNgwk7WZ7CSVSmXR2TSG\nIAgSSuibb74pCaIKgsD1dS+//LLsMcrLy7kmTFyTvHHjRnzsscdwypQpWFRUhIiIy5YtQwDAjh07\n2jxGe0FZvoiICL6Wv//+m9f01atXO3TcnJwcyRoMAPj1119LPiMIArZq1Qrj4uIeOljOwpyDRZEV\n+rNXaW/cuHH83d27dzs1RlowQ0NDMT8/nw2P+fPn232szZs3I8BtrjhtCq1bt3ZqjMYgvvTAgQOx\nurqaozbGC4c13nd2djZHuOScGEEQ2JkAcJ06FhlUW7du5f9fs2YNv19ZWSlpENivXz+rG44rHSza\nIPv3749lZWXYrFkzBDA0JW3YsCFHnMROOGX6nnjiCafPT0Xz48aNQ8TbimctW7bEL7/8EgEAg4KC\nUKPRYP/+/RHAkDGVg3H9XZs2bZwenyVMmTIFAYCzoz4+PlbvnVar5XlmTnSluLiYN6m//vrL6XFW\nVFQwxcNS/aIYNA82bNhg01wjI1GhUODXX3/N9/BuIiMjA1FaV08AACAASURBVIOCgtjAIUf4ww8/\ntPkYZKyEhoaiIAh44cIFDpQY06FprYqLizPLVFi7di0CGCg3ZGjYg2PHjvE6t3PnTq4tkHOgfv75\nZwQwZPTN4cSJEzwea/eYjFNLtK9//vOfCGCgu9oLnU4nqSXy8PBwes+7F0Br2syZM7lWSayGu2LF\nCgQw1C8hGhx1cppSU1M566FWq5nW9Ndff0nqP5OTk3mNJhrUI4884tS4aW+gSD8ZxN7e3rh161b8\n5JNPOAPz+eefm3yfsnJLly41ea+oqIj3vaFDh9o8JsruJSUlmQSGKcunVqtlBRnWrVuHAIDu7u54\n6dIlPHLkiCSYZM4RtAd6vZ6b5W7evBlLS0v530SjdHNzw7NnzyLi7b3UXNDCGLTGAABOmDDBbHB8\n8ODBHAiyhTUlCALPTQDzZRg7duxAAPNZrJ9++okdVmt74bVr13gtcwWdVQ4UNDYOaM2ZMwcBAAMC\nAvDatWt2H5eyqG3btuWAaGxsrMQhpfU3KSnpoYPlLMw5WL/99pvE6LOH9iMIAkZFRfF3KerhKIge\nSHUsS5cuRQBDBN6cdKw5kONHqorkwLj6YSEZ+A8++AARkYUBvvvuO8nnqB7MEiWBjMZNmzaZvHfp\n0iXJfXJFRKu4uFiyeFNtiziLYEyBs8Wo1ul0ePjwYfzoo48wOjoaX3jhBYczHcRlpwzVyZMnJQpo\n0dHRJlnX48eP8yJbVlbm0HkRDRF2Mnp37dqFiIbsiZj7DQD4n//8BxERP/jgAwQAHDVqlOzxKFtI\nTptCoXCKimUNycnJPBfJ0LVGS6TO8EFBQRYNWnq+yPF0BhT8qF+/vs0UZTr/22+/bZODRUX6jRo1\nwsLCQv49jKlQrkBubi4uXrzYbB0UoiGSSrTl9u3bY3l5Oa5atQoBDGITtlLYyKARB1wo6iwWCtHp\ndNioUSMEsFzPodfrsXnz5ghgnrZnDoIgsJQ3GegDBw5EAMC33nrL5PNUl2KpiF6n03HWzVKhv1ar\nZYNeThmNcP36db73lj4nh9TUVDbY6VwhISEW6Uh3C+fPn8dly5ZZnIMECgx98803uGvXLgQw0ERp\nzaYAzbvvvsvfob0iKCiIAzLGKr1Hjx7FKVOm4DvvvIPl5eX8el5enkucBlpPae81VoCjv+nTp8vu\nP0Q169+/v8l7xsJVYlq6OZAtpVKpzCq20viMa3WvXr3KVLG3335bEqSk2kFXqNSSk+fn58drTGpq\nqoQiJ868kcMiV5dnjEOHDnHm5e2337b4+fPnz/MzNHXqVKyoqMCKigo8c+YMpqam4ooVK/CPP/7A\n3NxcvHTpEjNsAAD//e9/mz2uIAhMw582bZrJ+1RDbCt7hILOGzdutPi5W7duYVpaml1lCefOnWOb\n1NjhrqmpYcaTrU6oGPRsvPXWW6jRaJjVs2jRIkQ0+AOUZX5IEXQBzDlYK1eulCwkL774os3HJPoW\n/ZnjvtsKMgyISqDX6/lhqVevHq5evRoPHDiAhw4dwlOnTpmddDU1NWwEiyOMxP12ZT8s4yJsiviM\nGTNG8rlWrVrxJmYORJ145ZVXTN6j6BbJnCqVSknvBkdAG0L9+vUR8bZj4uHhgUVFRZiXl8eZhe+/\n/54XuWeffdbicXU6nYljZq+xhmi4/xThF4u7nDx5EmfOnIlz5szB7Oxsk+8JgsD32pYUuyAI+OKL\nL2JgYCAOGzaMM4hEt4qPj5dsFps2bWLHa9CgQRylI+Okbt26suehBW3nzp0YHx+PAK6vCRSDasaO\nHDnCm/Rvv/1m8Tuk8mStXuuvv/5CAANX35FMhxgUzZQzws2BonL9+/e3ycEiR4Si0URpIuPMVbh6\n9SrGxsbyMypHRRMEAZ999lkEMFBDyEDX6XQcTV63bp1N56ONVCwIRNeamJjIaySt84GBgRJjVw5E\nGatfv75dWWgSEVGr1Zyxoihp3bp1JcfS6XTcQsNaFojqyowpLmKQYqy/v79VY4SMLLmWJoIg4L59\n+3D79u0S5cLLly8zo2LSpElYUVHBapaDBg1yuWDKpUuXcMGCBfjxxx/j2rVrZdc5c9BqtTwHvb29\nrToxNOf27t2LlZWVzMI4f/48VlVV8VonFrXIz8+XBFcbNGhgl4AUOfHOyHVTQHLLli38WklJCY4a\nNQrd3d0xOjoaFyxYYPbenD9/HgEMGRsxayQnJ4epq7S/DxkyxOp4KKBlrlUOIuKRI0fYSadrz8rK\nYvVLkugWO1jUy9Cetcrcc/vKK69IAiCEgwcP4pQpU/Dnn3+W/F4VFRVcamGOxkvo3bs3AhiEUGx5\nHlasWCGRo7f2p1AoZDORxti5cycCGDKB4oBifn4+O4Ak8GMNlLG2dE937drFzmKXLl1s3g8pc2yu\nZl/shFpa+4whCALbibS2ki0TEBCAp0+f5nrbmJgYptk/dLCcgDkH69NPP5VM4n79+tl8TKJItW/f\nnqOCV65ccWh8BQUF/LCJI4LXr1/nyKvxX2xsLKsCiSEWOhAvNFTn4areBtQvQqFQ8Ga8e/duBDBE\nNunc5hZyY5ARJFeHRfUF48eP58JUWxcJc6Cs2pNPPomIUgWhV155hbNH7dq1Q71ez/Vmnp6eFmWT\nq6qqeNOmv8jISLtFJ9LT0xHAQF2w97tvvvkmAthGEzRWCWzevDn++eef7NzJKaHl5ubi4cOHJRtJ\neXk5PwfGESmiG6hUKiwtLcUXX3zR7oCGPbh58yZfT1lZGQ4aNAgBABcsWGDxe61bt5YEOcxBEAQ2\nkqwd0xIKCgp407NHVUpc+3j48GGrjgBlDYmKQbSnunXrurTHDDlO9Ofu7m6itkbzTaVSmUTGSVHK\nmtoYgQIJ4vYAt27d4qzPDz/8gEVFRWxwG9eFyKGiooLn/oYNG8x+7uLFi/jBBx/glClT8KmnnuL7\nKKa7VFVVcbBLXKdLDnpAQIDVZ5vqLiw1cSfapy37F0Xl/f39JcZQUVGRpM7Vz88PZ8yYgRs3bmRj\nPj4+nh3UU6dOsfFpKXBmD3Q6Hb7++usmss1kfM+dO9eqAbd+/XrJ9yy1PBArLxKzg36DBQsWsGx1\n3bp1TRxXyixMnjzZboYJ1QHJqf7ZgtLSUrYX8vLyTN63tek80QTFAUAKMnXu3JnFdzw8PCyyIUiN\nV61WW2UJkJOjUqmwf//+/KxGRUWx/SR2sKiW1hYnr6ysjNdwYxEJQRDYYbQ1gIN4ez5YynzT9atU\nKrvU79avXy8pQfDz88OWLVtiz549sUGDBqhQKFCpVGL37t1tyiIiGq6TnF1xVpXEVizVucuND8Cg\ntCiH8vJyDpzS36hRo6zOvfz8fA5cWAr4015hTqRCDsR2UqvV/B2tVstiSPSnUqkwLS3toYqgK2DO\nwaKHvX379ghgiETZCiranDdvHnbo0AEBbqvR2Atyilq0aGHyXmFhIb722mvYqlUrrF+/PtarV0/C\n73799dd58RcXOv7jH/+QHIeUhlxVtEiqVImJifyaOHtG/SXeeOMNBAB87LHHLB7P2AgXg6g2X331\nFf/W9iyScqBIrjjlTgpt9Ofm5sZ0B3Eh8fLly80el+o4QkJCsKioiNPTcs6wJZADb4/TT6BaEGs0\nQZ1Ox+IHw4cPl0RlAQz8ZHucO0rrG2cuqO6AagBp4TYngXvlyhVMTU21SVREDqQMFhMTg4i3DXdL\nrRjEDSbljBZjUFTskUcecTiCTyIGtgpwEKqqqjjK/Msvv1h1sGhNIIn9qqoqzvDJNVZ1BFevXmUn\n4+DBgxygqF+/PlNBf//9d/6MHNWFssheXl5WN1SxQJGxZD45JZ6enmwA1K9f3+ZNlDLxPXr0kH1/\n06ZNkjWY/lJSUkzuBUWBxQ4SUbBsUbakiHS9evXMfoYyeba0ItDr9ZwxIKpQUVERP7uU/TC+tqio\nKExNTZVcHxltarXaKo3IlnGJpc67d++OY8aMwVatWkkoXBERERb7KVHbCqqpadu2rdnPkohPbGws\nv/bJJ5/w9RJFyp66QFuwYcMGi4arNRCVOTo62qlxULa2YcOGWFNTg4WFhezwrFu3DgVB4ACvpf2L\n2CfW2nQgGoxd40BM27ZtJY6J2MGia42MjLR6bGNVYPGYjxw5ggCGrKY9xvTcuXMRwHKwkmwJR9QO\n9Xo95ubmygqKVFVVOaQGLK4LPHfuHJaWlnLG3Lh8wxJu3brFz55cLRQFdmJjYzEtLY0DIytXrrR4\nXAqwtmnTxuLeWVNTw+u3rVL9FBQx7jWXk5ODXbp0YduM5sZDB8sFMOdgUfpZLAFuS1PHmpoapo8d\nOXKE5X8djUhRdslWdTyNRiMZ8/Dhw7G8vBy/+eYbNiyMaRWXL19mB8YVtS90/okTJ0pep8Vz3Lhx\nWFlZydQSS9FgAkWYjHvRkOG/d+9evmfW+j3U1NTgiRMnzBpqZESIhQUEQcAZM2agQqFAb29vE+Pz\n/fffRwDLql5EFaB+M+Rg2qIQJwZx/x3Z3MU0QXHfKmP88ssvCGDIhFRWVuKlS5fY0GrVqpVVWoQx\nKO1v/BzQgjp9+nRENBjHFIE1nqdr167lyHhQUBCmpaXZNQbE2/WL5JxSdtScohvi7QCEreIbhYWF\nTCc6dOiQ3WNERF7wLfHqzYEicvPmzbPoYImbaYul2cmQDAkJsVuGWA4zZ85EAMCePXsiosFoJyGW\nLl264L///W8eR0pKiuzGKggCZ5t++eUXi+ezJEteVVWF3bt35/XRx8fHbF2IHK5du8bGgrEq5tmz\nZzn62qlTJ5wzZw6+//77uGPHDtlroui2p6cnFhcXo0aj4bodW+pKSktL2cgxd58oCm5rDy8KjqlU\nKpwzZw63HggODsb09HTU6/W4detW7N+/P0ZFReGIESPw6tWrJnRUnU7H6xTd56VLlzrU6JxqkNVq\ntUkbjoKCAvzuu+/Y4fH395fN+FLjZoVCgQcOHDDrgBOIajtw4EB+rbS0lIMPAIYaaFcILIghNlzt\nzX4h3g7u2JLVsYSKigo2vD/66CN2lFq2bMlBWwpCm6PGl5WV8fNgj+jJ77//jvPnz2dFWjHEDlZ5\neTn/VpaoouIMFa3LjRo1YgeFAh3EWLEVJKQTGBgou86eOXOG58q90voCEfHRRx9FAEPSgMpPmjRp\nYjdjgYJzxg6OIAhM9SdhKxLRqVOnjqyQCeLtdRvAOmUf8fZct1Wg7fnnn0cA+dpWQRAwPz9f4rQ+\ndLBcAHMOFkW7VqxYwZ4yFfQLgoDz58/Ht956y2RjI4pHUFAQ6vV65tqT0pA9EASB5XPtlXtfuXIl\nG6Ni8QMSRTAGRS5/+OEHu8dpDKIXGEuY0samUChY9jY2NtamB3vMmDEIIO29IFZAKysrYzWdyZMn\nWzwWOYAREREmksJi0Q+5mozMzEzZTZXkbZVKJebm5pq8T6qUSqUSMzMzEfF2NsnLy8tq/QdBEAQu\n+nW0Fxo5diNHjjT7GRIpMa57Ky0tdSgrQ8+BsUId1WuIFRopayymIF6+fJkV+ujP09MT9+zZY9c4\nyCggh+7kyZNsmJm7Lvot7On7QZkDcR1KWVkZbt261epmS1QGhUJhV40JgVQSR48ebdHBoobLarUa\nq6ur+fWamhps2bIlAhhooc6IFdy6dUsi4U84evSoSaanR48eFp+Dl156STZwYwya3+b6yWg0Gly8\neDG+//77Zjd7SyC5fnHmqby8nNfQnj172rSmCYLA35kzZw47tvaImtBaK9f/j0QTFAqFzQJGgiDw\nWkt/4eHhEilvY5hTR62ursaZM2dKskyhoaF27WWkgAdgmR1QWlrKQkrNmjUzMYoo0EkOEzEOzDnr\nZIwZ0+Z//fVXjIiIQF9fX5uMQEdA1DNH6nNHjx6NAK5ptUAtUsR/YsotZZDM0VmpF2Pjxo1dVotn\nPNeIum8pS0p7r5eXFxYUFLCTvGjRIiwpKeHMnC1Nu8XQarX8XbnMKYnVONu3ydXIzc2VMFI8PT1t\nVqkVg6TsjRlIJJzk6+vLSQmtVsvNrzt27Cih81ZVVeGiRYt4f7dVFO7mzZts41panwi0p9nKGHro\nYLkA5hwsigKnpqZyAzZyTsTp5vr160syIURBIeNVbLDbG72jhcHT09NmnqkYf/75J0d9aeKa2/jJ\nKLG16ao5iOlUcrLrlMWhP1vpfJR56NSpE79GvTDi4uIQ8XamoXfv3maPo9VqJVFIMrQJFMGVo2Ra\nAy0gcvL5tGH37NmTNwdBEDiSb2tRMynseHp6OtQUFBHx8OHDCGCeEqHRaNgodjQDYwzqP6FQKNhB\nzc/Pl60vJENT3LOIaLfdu3fHiooKrp3y9fW1SAsyBlFKyXmrrq5mSp1cnaROp+O6G3sc2tOnT/Nx\nX375ZfzHP/7BmzGAgZJozogm6omleWwJ9Ky0bdvWooNFz4+Yyku4fPkyb8INGzbkoIAxKIj05ptv\nSowvAm3CLVq0MDGyzpw5g6NGjcIuXbrgvHnzrM5nqhEKDw+36IBQZHXZsmUWj+coiFJEc0IQBHao\nIyMjbaKREkgeWfxnD1XHOAMsBtHNmjdvbvPxEA3PxPvvv4/t27fH8ePHW5VDttZ+Ijs7G+fNm8eU\nMnd3dw5WWsKePXv4GbIluFFQUMBF7OIaTo1Gw/R0quuYOHEiAphnhpCzJkdp0ul0LjO65EAU8M6d\nO9v9Xcoc/Prrr06PQ6/Xs2OqUqlM9jWdTsd7qZyzSUJc5qTDHYHxXCOBKUv96aheh5SKKfPh4+PD\nDpqlFg2WQNRV43lkTIu+13D9+nWcNm0ajh492uGWIn///Tc/z2LmE9EijeuoL1y4wHXyISEhOHTo\nUOzWrZtkXxw0aJBddg3Z5m+++abFzxUVFVmsTZTDQwfLBTDnYBG1Yv/+/az8Nnz4cMzOzpZkhAAA\nP/30U/4eLcxLlizh18iINi7aKyoqwilTpuDrr78umxWhfhaO1NoQampq8MCBA1abP1JxvDn1s9TU\nVOzUqRP6+vriI488gqtWrZKNSomNOzncvHkTe/TogVFRUWazaXK4evUqO6pE6yBJXIpoU0SN1P/k\nQHUL9BccHCyJ3hMdxVLTQ3MgWonxYl1UVMS8/0WLFkkMEaoBMidhbgyieiYnJ9s9PoIgCJyVlXNw\nycmkXmmuAkWQKLNJnGjj7C5lcJRKJWZkZPB43NzcmP5TWVnJvTICAgJw3759No2BnkUxZYXGJRcF\nJfnegIAAuykU5CiK/4h2AyAfoRbTK+wxtMWgHknWRFBoXTMXVMnMzOTfKzIy0iTzptPpuL8N/c2Y\nMUOSsaM6Q3sacpqDuOG6Oae6oqKCDRtHKFa2guTwg4ODWWJapVLZHQk2zhg98cQTdj1zpFAot97S\n2jJp0iS7xmQvbO3vV1lZyc2WQ0NDZTP9hPPnz7NTNHLkSJuN3+3bt/NvSfst1TOK1R+pH45xPQai\n4Z6QIWiuOXpt4vr165z1s6fhbElJCRuRcsFNR3Hjxg2zGdAJEyYggKmaHAWHVSqVS+X6jeca3Vs5\nSXkCzTkSstFqtUyNoz9H6OaIt1WMY2NjJXOUxErkGps/KBAEgSnERAXMyMjguStH1T1+/DiXKIj/\noqKi8IsvvrC7RyjVcIube8uB6IdNmjSx+dgPHSwXwJyDRQvs+fPnmfbn4+PDdKHOnTtzCjw8PByr\nqqqwqKhIdnOnaJmY+1ldXc30KAB50QCiCjjSUNheiNXPxNKXgiCwUp/x36RJk0weCKL+zZ071+Vj\nJDoN1Q6RqAUZb5QlUSqVEqdJDDI6xo4dy9FOsZwtyVRTXwR7UFpayrUkYmeaCr4TExNNlN2oDsPH\nx8emLKUcVdIREFXuqaeeMnmPauVmzpzp1DmMQSpUlN0lSVS56NOAAQMQwKDSRdk0Y7pOWVkZR0m9\nvLxYPMUcysrKeO6KpZPJSJCTQyfaqSU6pSX873//wx49emD//v3xhx9+QL1ez464l5eXSdaMeP1U\nl+MItFot0y0sKRDSfbZUy5eTk8NR3rCwMG60KQgC/25qtZop1QCGjJ0gCKxYSYXyrgBFjM1FLIme\nYkt/GmdQUlIiWb+VSqXDoiCCIOBvv/2G27Zts3vMFHhSqVQm9Eqq43PUUbcV9jRQr6ys5IDGo48+\nKus4FRYWcvuEDh062M3eIKGQ8PBw3LBhAwc1qC8f4u26Yzc3N5PfLSsri39TR1kCzoIy9PaswdQO\nw5LoiauxefNm2eeN6i7taUZsC4znGu2fQUFBss+OXq9nR10clLlx4wampKTgI488YlV4wRI0Gg0H\nfTZv3oyIhmeSgvD20g7vN1Dri2bNmmFNTQ3bJ+L+g8bQarW4detWXLBgAf700082rx1yKC0t5bo6\nS+rRFDi3pz/lQwfLBZBzsLRaLW+cBQUFEueD/nbv3o01NTUsiLBs2TJcuHAhAphSMsjLFtefUJpa\n/CfO6BQUFHAkwB55T2dA1ISoqCgsKytDrVbLRhQZTunp6fjee+/x2J599lmO7IvrjFxRHG+M2bNn\ns7F769YtE+lvQRC4rsO4yS6BKIpLlixh2h7VbGk0Gl4YHZV6J0pFYmIiarVazMvLY2d96dKlJouJ\nuHjfFrEPyig421yRDHkfHx+JmmBVVRVvGI5SB8xBXNR/+vRp/q33799v8tn09HQOVgAYClnl+puV\nl5dzQ9CgoCCL6X+qAQwPD5e8TllBuWgjCXu40kgVBIGFFowLq4nyYtwvzl4QTc6SrDz1oJNr4C1G\nYWEhfzYiIgK///57do6VSiVnQcX1MiTfDeDanmbUdNgc7e0f//gHAliWLncVSkpK8LPPPsNZs2bJ\nzuE7BarTFdPuSkpKeH2szUweon0OFiJKnn3j/j3l5eXMAqlXr55ddEuCRqPhoAD9JSQkSJx8cX2z\ncfaCot0JCQl2n9tVoDF4e3tbzPSJQYG8ESNG1PLobkOj0TA7g56B0tJS3vNcQVUUw3iuiVVT5eY5\n1Tn7+fm5tO2EGMSk6dChA2q1Wqatde/evVaDPPcCioqKOIBBtom5Pb22QOUDlpRSSZ5+6dKlNh/3\noYPlAsg5WPn5+TxR6KGk+h4AKbeUFrXQ0FCuWTBW/srPz+fN7syZM1hUVMR1HUuWLOFj+/n5cWSd\nnDVHxDEcRWVlJT8kHTp04AioUqnExYsXSz67Zs0avqZRo0ZhaWkpOy+1VdRJ1Cc3NzfORBmLJtDG\nKueACILA0ayjR48ynSQ8PBy1Wi2mpqY6Hf0uLCzkczz22GMc5U5KSsLq6mpZQ4SifdakbMX1fLYo\nWlqCWE1Q7DysWbMGAQwyv45w0q2dkwQs6M+SHOvu3bsxOTkZp0yZYpHyIm5uasmwJkeKuPgE6uni\n6+sruTc5OTmyNWKuwIkTJzhIQbSyrKwsjsY569wSRWXatGmy72u1Wj6XufoqMQoKCpgOQn8qlcrE\ngVu4cKGkSebMmTNdamSIAytytGfK+huvVw8yxIq3BKLV2kOJcRT2OliIt6ld7u7u3MdHo9Ew7bdO\nnTp46tQph8eUm5uLffv2RaVSiZ07d5atr6QgwXvvvSd5nfZ0W2nbtQFBELim11oDewKpNtpDvXcF\nSFiD2BDUQ9TRuiZLkJtrRPeTE3r57LPPEECqBulqZGdns5NJKqBubm545MiRWjvnvQSi29KfsTDW\nnTq/XC0xooEtRgEdeyi3Dx0sF0DOwSIhgYCAAH5NEAQ8duyYiXSoRqNhCVAy0uSMQfKyX3nlFZas\nTkhIQK1Wi3q9nkU1XnzxRUnG7E7QA8XYs2ePRN3Ly8vLbIR7/fr1HD2iPw8PD7xw4UKtjY8oYfRn\n3OyWeuwQJ1iMzMxM3tSrq6uxurqapeI3bdrEUrS2qtiYw4YNGyTKWUFBQXjmzBmzhghRUP39/S1S\nUqgnmr29kcyBGiq3bduWjeB+/fohgPMURHMgJ9bV2Q0SHlAoFExjM8b06dPZ6BdDp9Nx1k7c/JaC\nHHJ1Gq4AzbcWLVpgeXk5U/aSk5Oddkpo0xGLwohBa5y3t7fNRlBpaSnOmjULExISsE+fPmaFCk6f\nPo3z58/HnTt31koEl2qe5LIf5DSamwMPIoghIe4dR3PL0fYg9sARB0sQBC6G9/LywvHjx7PUuq+v\nr8si4JbmHzl5xmIyVLMzb948l4zBUezbt4/3EWsNzhGRmRC2CIi4EpQlUqlUuHjxYqbJu6qPnhhy\nc23q1KlmDXsSNXKk3YU9+OmnnySBJWO75EHH2rVrceDAgfj11187TPdzFLdu3WK2i5wDRWydkJAQ\nu/ajhw6WCyDnYFFhe8OGDW06xv79+zEuLg59fX3NStAaN6oFkNb+7N69mxcpMnJ9fHwcrsNwBqdO\nncKZM2fiq6++apZqR9i2bRtTLfz9/W2iuTmD/fv3c7QoPj7epFkuUfRmzJhh8l2SChf3TSDaYUxM\nDDuLrpDf3blzJ44cORInTJjAxp45Q0Sv13P20xKlgmSqzWUl7MWNGze4Vmfz5s0sdAJQu7SitWvX\nYq9evSz24XIEFMQwJ+NN2Q05uh8ZVeJoNtUVuVIFS4wbN26wChdtEAqFwiXUTLE0sRw1hppet2vX\nzulz3WkQvZr6ahHomho2bPjAU3PEENf+nj17FquqqjiLbmv/K2fgiIOFaAhOPvbYY5I9MTw83Got\npatAmWtvb2+mDwqCgBEREQgAd2wclvDBBx+wLWCp96C4ZYmz7AZHYCx207FjR5dnrxDl59qKFStk\n1zKtVsvO3rFjx1w+FmOcOHEC58+f/38mc3UvgXp7ydUTk5Ktvcyqhw6WCyDnYJF8saVO78YQBMGs\nsAK9TwIZ5hwA4u7Sn7WGufcKqqur8ezZsybOTm0hPT0dv/76a9meOSQgMHjwYJP3qNBRbIBfvHiR\neynQxlBbxpklQ4QoXZaKMKmuxdY+DraA+OM+Pj5s7Dtb/3O3QF3qvb29TYwMnU7HYhly9XUkWEPN\nhK9cucIRydrMyP71118SmdovvvjCJcetqanhQIRcaDpkBQAAIABJREFUj5A5c+YggPleUfcyKBOt\nUqnw5s2b/DpJpcs1knzQMXjwYGZAUKY7KirqjkSTHXWwEA374rp163D27Nn45Zdfmm38WxsQCyCQ\nlDbNLbVa7VBrFFdDp9NxxrZVq1ZmbQyyWcRZzDuJ0tJS7N+/PyqVSkxOTq6VGmxE+bl27do1BDBQ\n58UBaaq5DQwMrBVn7yHuHRD9X67pMNVfGTdEtoaHDpYLIOdgUUTEGXl0OVRVVeGKFStw165dska8\nRqPBqVOnYosWLfDdd9/9PxWFdRW2bduGAPIFyqRMt2DBAsnrP/30E7q7u2NCQoLD4ha2wJIhsmfP\nHgQw0FLlNlFSvVKpVLIy+o6itLRUUlsTHh5ea5tjbUMQBKYZidskIN5uKGxcZ0XIy8tjOs7Ro0e5\nGfWdkNm9efMmrl692qLin73Q6XRcmyBX2EvZPlc5dHca1GCXglC3bt1iarOrxVnuB5CCnPjv3Xff\nvSPndsbButsgx5QkvCnQ0r59+7s8stvIzs5mIQFzip/Ux3Ls2LF3dnBGqC0hCYK5uUY91kjJDxHx\nww8/RADAYcOG1eqYHuLuIz8/n/dvcU1xcXGxw2I/rnawlHAfoqamBgYNGgQHDx7k17KysmDcuHHQ\nqlUrGDBgAOzdu9euYxYWFgIAQFBQkEvH6uHhAaNHj4aePXuCQqEwed/LywsWLlwIJ0+ehPfff1/2\nMw9hGY0bNwYAgMzMTNDr9ZL3jh8/DgAArVq1krz+5JNPQnFxMfz999/QokWLOzNQI3Tt2hXCwsKg\nuLgYdu/ebfL+1q1bAQCgU6dOEBAQ4LLz+vn5QVpaGrzzzjswc+ZMOHLkCERHR7vs+HcSCoUCJk6c\nCAAA3377reS9AwcOAABAu3btQKVSmXw3PDwcUlJSAAAgOTkZ/vWvfwEAwLRp02pzyAAAEBwcDCkp\nKZCQkODS48bHxwMAwOHDh03eO3r0KAAAtGnTxqXnvFN46aWXAADgq6++gsrKSli6dCloNBpo0aIF\ndOrU6S6P7s6jR48eMGDAAP53/fr14fXXX7+LI7o/MHDgQAAA+PnnnwEAYP369QAAkt/ybiMqKgq+\n+OILAACYO3cuZGdnm3wmLS0NAAB69ep1R8dmDDc3t7ty3t69ewMAQGpqKr+2adMmAADo16/fXRnT\nQ9w5hIaGQvfu3QHg9jMMALB582bQ6/UQFxcHDRo0uFvDAwCA+87Bqq6uhlmzZsGFCxf4NUSEF198\nEUJCQmDd/2vvzsOiKts/gH+HXUHZXFJRkEUEYsedFFFzQ3Gr1xSJUjMNyepVw9c9NZfcMlfKFTUj\nkZdUMg3FysTEBZRFAVMR88UCgxCQmfP7g9+cnABlZJxhhu/nurh0nrPdw9zMnHue5zzn4EEEBwcj\nPDwc+fn5dd7vH3/8AUD1BRY9f3Z2djAxMUF5eTlyc3PF9nv37uHu3buQSCTw8PCotl2TJk00WtDq\n6+tj1KhRAICvvvqq2vKvv/4awN8nBKrUsmVLfPTRR1izZg1sbGxUvn91Cg0NhYGBAZKTk5GWlia2\n//DDDwCAbt261brt3LlzYWxsjL/++gtA1UlWcHDw8w34OXJzcwNQvcC6d+8e7ty5A4lEUu3LBm0x\nbtw4tGvXDrdv30avXr0wf/58AMCMGTMa5RdTEokEMTExiIiIQHh4OBITE2FqaqrpsBq80aNHQ19f\nHxcvXkRycjK+++47AMCYMWM0HJmicePGoVevXnj48CEWLVqksKywsBDnz58H8Heh0djIPzsPHToE\nqVSKvLw8nDt3DhKJRKvfw6nu5H+zO3fuhCAIAIBdu3YBAF577TWNxSWnVQVWdnY2Xn31Vdy6dUuh\n/ezZs7h9+zYWL14MBwcHTJkyBV5eXjh48GCd980CS3vp6+uL39xfvXpVbL906RIAoFOnTjAzM9NI\nbE8jfxPYv3+/2IsKAPn5+WKvlryXhWrWunVrDB8+HMDfvVhSqVTsARw4cGCt27q4uODkyZPo06cP\nIiIisHfvXq0+WZf3iKWlpaGsrExsv3DhAgDA2dm5wf4tPI2JiQm2bdsGoKpnuqysDAEBAXj99dc1\nHJnmNG3aFOvXr8eGDRs0/m2ttmjRooXYW9W9e3dUVFTA1dVV5b3J9SWRSMRe9e3btyMrK0tc9u23\n30IQBHTu3FlrRx/UV2BgICwtLXHv3j0cP35cPLHu0aMH2rRpo+HoSB3GjRsHMzMzXL16FUeOHEF6\nerrYszthwgQNRwdopm/3GZ07dw7dunXDe++9p/At7OXLl+Hq6oqmTZuKbb6+vuIJdm1kMpk4pEx+\ncmtpaVltmBk1fG5ubrh48SJSU1MxbNgwAH8PifL09NTYayo/bm3H79mzJ3x8fHDhwgWsXbtW/KZy\n69atEAQBPXv2RPv27ZmTT/HGG28gNjYWe/bswdKlS5GSkoL79+/DwsIC3bt3f+Lvr2vXruKbMlD7\na9XQSaVStGnTBtbW1vj9999x8eJFdO3aFQDEIdN+fn5a+/yAqmI5Li4O27Ztg729vdiLpc3PSRs9\n7X2tofv444/x7bff4tGjRwCATz75BDKZTMNRVde9e3cEBQXh8OHDmDNnjjjSITo6GkBVL462vgZ1\nVVuu6enpYcKECfj000/x2muvobi4GADw9ttv6/zvhKo0a9YMb731FtasWYPQ0FA0b94cgiAgODgY\ntra2SueBqt8DtKrAGjduXI3tBQUFaNWqlUKbtbU1fvvttyfuLzs7W/z/zZs3AQDFxcVPLcyo4ZFf\no/TTTz+Jr9+pU6cAAK1atdL4a/r40LV/evXVV3HhwgV88skn6NKlC5o1a4a1a9cCAIYNG6bx2LVB\nq1at0Lp1a9y7dw/z5s1DZmYmgKoTlMd7NXWdRCKBs7Mzzpw5g7i4OBgZGQEAjh49CgDo2LGj1ueT\njY0NFi9eDAC4detWtRENpD5Pel9r6FauXInTp0/Dzc2tQXxG1CYkJARHjhxBbGwsoqOj0aJFCxw7\ndgwA4OPj02DjVrWacm3o0KGIiopCUVERgKrLBZydnRvN74SA4cOHIyYmBrdv30ZhYSGMjY0RFhbW\nIHJAqwqs2jx8+FA8kZAzMjJCRUXFE7dzdHQUh8vIv8ny8vLS2msUGrMBAwbgs88+w61bt8TXT140\nDxkyRGOvqVQqRVpaGtzd3WucaAGo6mFLSEhAUlISpk+fDjMzMxQXF8PFxQXvv/9+rduRosWLF2PK\nlClicSpvayx/z/Jc69u3L86cOYPc3Fx4eXmhtLRULDJDQkLg4OCg4UhJ29Xlfa2h8/LyUsuENvXl\n5eWFhIQE7Nq1C5GRkbCwsIBUKkVAQABGjBih6fCeu6fl2jfffIMZM2bA3NwcO3bsgL29vQaiJE1K\nTEzEokWLkJ+fj+XLl8PHx+eZ9lNSUqLQ8VJfOlFgGRsbi99gyFVUVMDExOSJ2+np6Yl/sPJrsFq2\nbKm1HxiNWc+ePQEAmZmZKCwshL6+vjgRiq+vr8ZfU319/SfGEB0djV69eonfxpuamuLLL7+s9sUB\n1W7ixImIiYnBiRMnAABhYWHo0qWLhqNSv6CgICxduhQJCQmoqKhAUlISHj16BBsbGzg5OWn1NWbU\nsDztfY1UY/Xq1UhKSsKvv/6Ku3fvQl9fH+vXr29Uv/vacq1fv35a3ZNK9efo6Ig9e/bUez96eqqd\nlkInCqzWrVtXqzrv379fbdjgk3CSC+3WokULuLi4ICMjA2fOnEFFRQUEQYCrq6tSeaApNjY2SE5O\nxtatW1FSUoKJEyeic+fOmg5Lq+jr6yMhIQHbt2+HpaUlRo8eremQNMLPzw8dOnTArVu3cPToURw4\ncABA1YxLLK6ItI+1tTUSExMxf/583L9/HzNnzqxxZlwiajh0osDy9PTEtm3bUFZWJvZapaSk1Pl+\nL1KpVOwBY4GlvV566SVkZGTg9OnT+PPPPwFo1/0wXnjhBSxYsEDTYWg1AwMDvPXWW5oOQ6MkEgnG\njRuH5cuXK0w93Zhn2yPSdh07dlTJt/REpB5aNU17bbp27Yo2bdogMjIS169fx7Zt25Camlrn+1o8\nPrzQ0tLyeYVJz1n//v0BANu2bRNvIjlgwABNhkSkETNnzlR4Lxs4cGCjuRaNiIhI03SiwNLX18em\nTZtQUFCAUaNGIT4+Hhs3bkTbtm3rtL18eGDz5s1haGj4PEOl5yg4OBht27ZFcXExioqKYG9vLxZd\nRI2JlZUVDh06hJdeegl9+/bFvn37NB0SERFRo6G1QwQfv+keANja2or3hlCW/B5YHB6o3YyMjPCf\n//wH77zzDgBgxYoVnCSCGq0+ffrg9OnTmg6DiIio0dHaAkuVOMGF7pg2bRqGDx+OP//8E66urpoO\nh4iIiIgaGRZYYIGla2xsbDQdAhERERE1UjpxDVZ9yQssTnBBRERERET1wQILfxdY1tbWGo6EiIiI\niIi0GQss/D3JBQssIiIiIiKqDxZY4DVYRERERESkGpzkAiywiIiIiADgxo0bOHjwYL320blzZwQF\nBakoIiLtwwILHCJIREREBAC3b99GVFRUvfYxZMgQFljUqHGIINiDRURERAQAhoaGmg6BSOuxBwss\nsIiIiIgAoEePHhg7diy+/PJLAICJiQmioqLQtWtXDUdGpD0afQ+WVCpFUVERAA4RJCIiIlq4cCFG\njhwJACgrK8OUKVNw6dIlDUdFpD0afYFVVFQEQRAA8EbDRERERBKJBMuWLcOQIUMAAKWlpZg8eTLS\n09M1HNmz2bp1K0aNGgVvb2/07NkT7777LvLy8jQdFumwRl9gyYcHNmvWjOOOiYiIiADo6elh1apV\n6NevHwDgzz//xJtvvons7GwNR6a8c+fOYcKECYiJicHnn3+OBw8eYPLkyaisrNR0aKSjWGD9f4HF\n4YFEREREfzMwMMC6devg7+8PACgsLERYWBhu3ryp4ciU88UXX2DkyJFwdHSEq6srPvroI+Tm5mpl\nsUjaodEXWPIp2jnBBREREZEiIyMjbNy4UZzkoqCgAGFhYbhz585zP/adO3cwbtw4zJkzR6X7LSkp\nAQBYWFiIbbGxsXB2dhZ/3nvvPZUeUxn/+9//MGvWLPj7+8PV1RXOzs44f/48BEHAqFGj8Oabb2os\nNnXIzc2Fq6sr9u7dW21ZTk6OwusUGBiogQifrtHPIsgZBImIiIhqZ2Jigi1btmDixIm4ePEi8vPz\nERYWhujoaLRu3VrT4SlFKpVixYoV6NOnD1544YVqy/v16wcXFxc4OTkptN+7dw8JCQk4ffo0cnNz\ncf/+fZibm8PHxweTJk2Cp6enSuKTyWSYMmUKsrKyMHjwYHTo0AF6enpwcXFBXFwcrl69igMHDlTb\nbu3atdiyZQv27dsHX19flcSiKfb29hg6dCg2btyI4OBgmJmZicssLS0RHh4OANi1a5emQnwqnSqw\njh8/Lv7S5QYOHIhPP/201m04RJCIiIjoyUxNTREVFYXXX38dV69exa1bt/DGG28gOjr6uX1J3apV\nK6xatUplU8QLgoAFCxbg7t272L9/f43r9O/fH6NGjarWvmfPHkRFRaFDhw7o1asXrKyscPPmTZw4\ncQInTpzA6tWrxUlB6uPcuXNIT09HSEgI5s2bJ7bLZDJs2LABfn5+8PLyqrbdlStXxEJMF0yaNAnx\n8fHYs2cPpk6dKrZbWVlh+vTpAIBDhw5pKryn0qkCKzs7G3379sVHH30kthkbGz9xGw4RJCIiInq6\nZs2a4YsvvkBoaCiuXbuGnJwcvPHGG9i9ezfMzc1VfjxDQ0O0a9cOLVu2rPe+BEHAwoULcebMGezd\nu1fp8z4PDw/s2bOnWrF3/vx5hIWFYeHChejfvz+MjIzqFWdycjKAqkLvcadPn8adO3cUio3Hpaen\nw9bWFk2bNq3X8RsK+RDAmJgYTJkyBXp62nVVk04VWDk5OejUqZNSf4gcIkhERERUN5aWlli7di2C\ngoIgCAIyMzOxdetWzJo1S6n9HDt2DHv27EFOTg5KSkpgbm4OR0dHvPbaaxg4cCCAv6/BGjFiBFas\nWAGgqgAJDQ1FeHg4AgICsGbNGly6dAl6enro3r07IiMjYWNjo3AsQRCwaNEiJCUlYc+ePWjTpo3S\nz/vll1+usd3Pzw/dunXDjz/+iKysLLi7uwMAEhISMGPGjKfut02bNjh16hTi4uIwe/ZssT0sLAwA\nYGZmhpSUFMTGxkIikVSLY+nSpdi9ezeAqnNaZ2dncdnRo0fh4OCg1PN8Hm7fvl2tYKxJ7969ERUV\nJT4ePHgw1q1bh+TkZPTo0eN5hqhyOldg9ezZU6ltOESQiIiIqG7++usvREZGivcQ7dKlCyIiIpTa\nx759+7Bo0SK0bNkSAwYMgIWFBQoKCpCWlobjx4+LBdaTpKWl4fPPP0e3bt0wduxYpKen48SJE7h2\n7RoOHz6sMIJp0aJFOHLkCDZv3gwTExMUFBQAAMzNzevd4wRUzbb4+L9A1Rf3I0eOxKFDh+Dt7Y1e\nvXqJy86cOYMLFy4gODhYnKGxXbt2CA8Px/bt22FsbIzx48cDqDo/FQQBycnJ6NixY7WeQg8PDwwZ\nMgRHjx7FSy+9JF4LJpFIYGdnV+/npgqVlZUKl/BcvXoVJ0+eREBAAF588UWx3cfHR2E7+VDIn3/+\nmQWWpgiCgBs3buDHH3/E1q1bIZVKMWjQIERERNT6xyOTycQhghYWFpBKpeoMmRoBeU4xt+h5Y66R\nujDXGq+KigpMmzYNqampAABXV1ds3LgRhoaGSuVDTEwMDA0NERsbW+0L7qKiomo5JpPJFP4PAElJ\nSVi9ejUGDx4sbvvhhx8iPj4e3333ncL1UPLrreRFi9zOnTvFIX/y/T5+rLrIz8/HmTNn0LJlSzg4\nOIjb+vn54ebNmzh06BCGDRuGsWPHittkZWUBAMLDw9GuXTtIpVL4+PigU6dO4oyN06ZNE9e/du0a\nioqK4O/vXy22IUOG4O7duzh69CjGjRuHPn36KCxvCH+nHTp0UHg+a9aswcmTJxESElKtY+TxeF1d\nXQEAKSkpNT4PeZGviucof/1VRWcKrPz8fDx8+BBGRkZYt24d8vLysGTJEpSVlWHu3Lk1bpOdnY3b\nt28DqPqDvnTpkjpDpkYkLS1N0yFQI8FcI3VhrjUuMpkM69evxy+//AKgamhbRETEM91LqrS0FHp6\nesjIyFCYIe6f5D1Nj5+jyY/XuXNntGnTRuHczcPDA/Hx8UhMTETbtm3F9n379tV6DPn2t27dEv+t\n6/lgZWUlli1bhoqKCowZM6ba38SPP/4IoOqmzY/v8/Lly2jatCkKCgrE5wgAGRkZEAQBlpaWCuvL\nC1qZTFZjbGfOnHni8oZGnkOPHj16aryGhoa1viYVFRUA0CCfs84UWO3atUNycjLMzc0hkUjg4uIC\nmUyGmTNnIjIyEvr6+tW2cXR0RHl5OQDUOisLUX1IpVKkpaXB3d29xhwkUhXmGqkLc63xEQQBc+fO\nFU+MX3jhBURHRz/TtUwAMHr0aKxevRpz587F0KFD0bVrV/j6+lYrtuRFj4WFhXiOJj+p7tatW7Xz\nNktLSwBV08ore05348YNAFW9LXXZViaTYfbs2cjMzMQrr7wizmz3uLVr10IikWDo0KEwNTUFUHUP\nroKCAvj4+FQ7jrxACwgIUFgmv+eYg4NDjbH99ttvsLa2Rt++fev4bJ9uxYoVePToUZ3XDwkJqfOQ\nxLt376JFixbVettqYmlpidLS0hqft3yEmirO30tKSlR642mdKbAAxRvGAVWJWF5ejgcPHtQ4iYWe\nnp54DVbLli35QUHPjb6+PvOL1IK5RurCXGs8li9fLk6JbWVlhR07dlSbSEIZkydPhpWVFfbv34+d\nO3dix44dMDAwQJ8+fRAZGYn27dsDgJhfenp6Cv8HqmY0/Gf+yU+4BUFQOjfl+338WLWRyWSYN28e\njhw5guHDh2Px4sU1znJ37do1tG/fHs2bN1doEwQBLi4u1Y4jHzro5uamsEw+M+CjR4+qbVNaWoqb\nN2+iZ8+eKv17jImJQWlpaZ3XHzRoUJ0m1Pjjjz/wv//9D/7+/nWKt7y8HE2aNKlxXYlEAgAqed6q\nnqVQZwqsH374Af/+979x6tQpNGnSBEBVV6uFhUWtMwTKZDIUFRUB4CyCRERERP+0efNm7NixA0DV\njHaff/457O3t67VPiUSCMWPGYMyYMSgsLERKSgoOHz6MhIQE3Lx5E/Hx8Q22eJfJZIiMjERcXByC\ngoKwfPnyGk/O8/Pz8eDBA3Tr1k2hPT09HUDVEMd/Sk9PR7NmzaoVr/KeOfk56+MyMjIgk8lqvf/V\n9evXERQUhKioKGzatAnp6elwcHDAunXrYGtrW+vzvHjxYq3L6kNeRNb0/P9JJpOhuLgYjo6OzyWW\n50m7JpV/Am9vbxgbG2Pu3LnIzc1FUlISVq5ciUmTJtW6TXFxsXiBnDx5iYiIiKjq2qV169YBqLqv\n6ObNm+Hm5qbSY1haWqJ///5Yt24dunfvjuzsbNy8eVOlx1CVx4urIUOGYOXKlbUWgpmZmQCgMG36\nk9orKiqQk5ODzp07iz0zck5OTtDT0xOHMT5OXrDUVmBlZWXB0NAQu3btwsyZMxEbGwupVIpt27bV\n4Rmrnvw51KVo+vXXXyGTydCpU6fnHZbK6UwPlpmZGb744gssW7YMo0ePhqmpKcaOHfvEAquwsBBA\n1dBCQ0NDdYVKRERE1KAdOXIEH330EYCq6cfXr19f7Sa7zyo5ORldu3ZVKCQePXqEBw8eAIDCFOsN\nhUwmw5w5cxAXF4dBgwZh1apVT+xlq62nRn6dj5OTk0L79evX8ejRoxoLpebNm8PZ2RlXrlyBTCZT\n6DGT92o9Pgzxn3FYWFhg/fr14jVuvXr10lgRW1JSAgDiNWlPIp/cQ1V5p046U2ABVckq78auC/n1\nV61atXpeIRERERFplaSkJMyePRsymQwSiQQff/yxSidQeOedd2BmZgZPT0+0bdsWlZWVOHPmDLKz\nszFw4EC0a9dOZcdSlY0bN+LQoUNo2rQp7OzssHnz5mrr9O/fXyyQauupkheRaWlp6NSpkzh/gHzo\nYG09Uf3798eGDRtw6dIlhftFyacyX7JkCV5++WUYGRmhW7duYlGSlZWFQYMGKUwgkpeX98Thgc9T\nx44dAQCffPIJUlNT0adPH3Tp0qXGdX/66ScYGBggICBAjRGqhk4VWMqS92CxwCIiIiICzp8/j4iI\nCHEGOXt7e+Tk5GDt2rVK7ee9996rddn777+PH374AWlpaTh58iSaNGmCDh06YOHChRgzZky94n9e\n5DP5lZaWYsuWLTWu065dO4UCy8zMrNr1VMOGDcP27dsRHh6OrVu3wtvbG0DVtVRA7QXWK6+8gs2b\nNyM+Pl6hwAoICMAHH3yAAwcOYPv27aisrBSLGKCqwAoKClLYV0ZGBvr166fM01eZwMBAjB8/HocP\nH0ZUVFStz/fhw4c4ceIEAgIC0Lp1azVHWX8SQX4RUiNSWlqKjIwMpKam4s0338SoUaNw8OBBTYdF\nOkgqleLSpUvw8vJqsBfskm5grpG6MNd029tvv42TJ0/Wez/yIXL1oc5ci42NRWRkJD7++GOMGjXq\nuR7rWc2cORNJSUlITEx84v3D5B48eICuXbvi8OHD4pDEkpIS+Pn5IS4urk4TTWhKTEwM5s6di+jo\n6Fp7uAIDAwEAiYmJ9T5ecXExrl27BhcXF3HWxvrQmUkunoV8iKA2VsZEREREqtYIv3dXEBkZCWdn\n5yf2wGnKjBkzUFZWhujo6Dqtn5WVBWNjY4VZHzMzM2FgYFCnKdU1pbKyElu2bEFgYGC14ionJwfO\nzs5wdnYWexUbIg4RBIcIEhEREQHA1q1bNR2CRri4uCA8PFx8/M9JKBqCdu3aYfny5fj999/rtH5W\nVhacnJwUev8yMzPh6OjYoCd3u3v3LkaMGIHg4OBqyywtLRVep2bNmqkztDpr1AUWJ7kgIiIiIhcX\nl1qvB2pIhgwZUud1J0yYgAkTJii0hYSEICQkRNVhqVT79u0xffr0GpdZWVnVuqwh4RBBsMAiIiIi\nIiLVaNQFFocIEhERET3d9evX4ezsjNOnT2Ps2LHw8PDAyJEjG+xNgYk0qVEXWOzBIiIiInq6rKws\nGBoaYteuXZg5cyZiY2MhlUqxbds2TYdG1OA06muwiouLAaBB3tCOiIiIqKHIysqChYUF1q9fL04R\n3qtXL/ZgEdWgUfdgAYC5uXmDnYGEiIiIqCHIysrCoEGDFO6/lJeXB1tbWw1GRdQwNfoCq3379poO\ngYiIiKhBy8rKgoeHh0JbRkYGnJ2dNRQRUcPV6AssGxsbTYdARERE1GA9ePAAv/32m8I05iUlJcjL\ny0Pnzp01GBlRw9ToCyz2YBERERHVLisrC8bGxrC3txfbMjMzYWBgAAcHBw1GRtQwscBigUVERERU\nq6ysLDg5OUFfX19sy8zMhKOjIwwNDTUYGVHDxAKLBRYRERFRrSZMmICDBw8qtIWEhCAuLk5DERE1\nbI2+wLKzs9N0CEREREREpCMafYHl7u6u6RCIiIiIiEhH6FSBVV5ejjlz5sDPzw/+/v7Yvn37E9dv\n2bIlrK2t1RQdERERERHpOgNNB6BKK1euxJUrV7Br1y7k5+dj9uzZaNu2LQYNGlTj+k5OTmqOkIiI\niIiIdJnOFFilpaWIiYlBVFQU3Nzc4ObmhuvXr2Pv3r21FliOjo5qjpKIiIiIiHSZzgwRzMzMRGVl\nJby9vcU2X19fXL58GTKZrMZt+vXrp67wiIiIiIioEdCZHqyCggJYWlrCyMhIbGvRogXKy8tRVFQE\nKysrsV1ecNnZ2aG4uFjtsVLjIc+1kpIS6OnpzPcZ1AAx10hdmGukLsw1UpfS0lIAqLVTRlk6U2A9\nfPhQobgCID6uqKhQaC8vLwcA5OXlqSc4avTnFullAAANlElEQVSys7M1HQI1Esw1UhfmGqkLc43U\npby8HGZmZvXej84UWMbGxtUKKfljExMThXZzc3PY2dnB2NiY34gQERERETViMpkM5eXlMDc3V8n+\ndKbAat26NQoLC1FZWQkDg6qnVVBQABMTEzRv3lxhXQMDA07PTkREREREAKCSnis5nem+cXFxgYGB\nAS5duiS2paSkwN3dnb1URERERESkFjpTeTRp0gQjRozAwoULkZqaihMnTmD79u0IDQ3VdGhERERE\nRNRI6EyBBQCRkZFwc3NDaGgoPvjgAzx69AiLFy/G9u3ba90mPT0dr7zyCjw9PTF69GhcuXJFjRGT\ntisvL8ecOXPg5+cHf3//J+aa3Pnz53mLAFKaMrl26tQpBAcHw9vbG8OGDcP333+vxkhJ2ymTa/Hx\n8Rg4cCA8PDwwduxYpKamqjFS0nbP8hmal5cHb29vJCcnqyFC0hXK5NrUqVPh7Oys8HPy5Emljqcz\n12ABVb1YK1asgJmZGX755Rd8/PHHyM/Px+zZs9G2bdtqNxwuLS3FW2+9hWHDhmH58uXYv38/pkyZ\nguPHj6Np06YaehakTVauXIkrV65g165dT8w1uaysLLz77rswNjZWc6Sk7eqaa5mZmQgPD8esWbPQ\np08f/Pjjj3j33Xfx9ddfo3PnzhqKnrRJXXPt/Pnz+M9//oMlS5bAx8cH+/btw+TJk5GYmAhTU1MN\nRU/aRNnPUABYuHChOKU2UV0pk2s5OTlYtWoVevToIbYpPfmFoGP++usvwd3dXTh79qzYtnHjRiEk\nJKTaujExMUJgYKAgk8kEQRAEmUwmDBgwQDh48KDa4iXtpUyuCYIg7N+/X/Dy8hKGDRsm9O3bV11h\nkg5QJtdWrVolTJw4UaHtzTffFNasWfPc4yTtp0yuHT16VNi0aZP4uLi4WOjUqZNw+fJltcRK2k3Z\nz1BBEIT//ve/wtixY4VOnTopbEf0JMrkWnl5ueDi4iLk5ubW65g6NUQQqPr2trKyEt7e3mKbr68v\nLl++XO3mYZcvX4avry8kEgkAQCKRwMfHR2GiDKLaKJNrAHD69GmsWLECYWFhaoySdIEyuTZy5Ej8\n+9//rrYP3lSd6kKZXBs8eDCmTp0KACgrK8POnTthbW0NBwcHtcZM2knZz9DCwkKsWrUKixcvVmeY\npAOUybXc3FxIJBK0b9++XsfUuQKroKAAlpaWCjcdbtGiBcrLy1FUVFRt3VatWim0WVtb47ffflNL\nrKTdlMk1ANi0aRNefvlldYZIOkKZXHNwcFAYCnj9+nX8/PPPCkMdiGqj7PsaAPz888/w9vbGZ599\nhjlz5nB4INWJsrm2fPlyjBw5Ek5OTuoMk3SAMrmWm5sLMzMzzJo1C/7+/hgzZgySkpKUPqbOFVgP\nHz5U+AUCEB//80bEta37z/WIaqJMrhHVx7Pm2h9//IHp06fDx8eHE6tQnTxLrjk5OSE2NhYRERH4\n8MMPOQqE6kSZXDtz5gxSUlIwbdo0tcVHukOZXMvNzUVZWRn8/f3x+eefo0+fPpg6dSrS0tKUOqZO\nTXIBAMbGxtV+WfLHJiYmdVr3n+sR1USZXCOqj2fJtfv37+ONN96AIAj49NNPeT9AqpNnybUWLVqg\nRYsWcHFxweXLl/Hll1/Cy8vrucdK2q2uuVZWVob58+djwYIF/GylZ6LM+9q0adMwYcIEcVKLzp07\n4+rVq/jqq6/g7u5e52Pq3Cdu69atUVhYiMrKSrGtoKAAJiYmaN68ebV179+/r9B2//79asMGiWqi\nTK4R1YeyuXbv3j2MHz8eFRUV2L17N6ysrNQZLmkxZXItNTUVV69eVWhzcHBAYWGhWmIl7VbXXEtN\nTcXt27cREREBb29v8TqayZMnY/78+WqPm7SPMu9renp61WYMtLe3x71795Q6ps4VWC4uLjAwMFAY\nopCSkgJ3d/dq3+B6enri4sWLEAQBACAIAi5cuABPT0+1xkzaSZlcI6oPZXKttLQUkyZNgp6eHqKj\no9G6dWt1h0taTJlc+/rrr7FmzRqFtqtXr8Le3l4tsZJ2q2uueXh44LvvvkNcXJz4AwBLlizBu+++\nq/a4Sfso87724YcfIjIyUqEtMzNT6fc1nTsLbNKkCUaMGIGFCxciNTUVJ06cwPbt2xEaGgqgqmIt\nKysDAAwaNAh//vknli5diuzsbCxduhQPHz7E4MGDNfkUSEsok2tE9aFMrm3duhW3bt3CihUrxGUF\nBQWcRZDqRJlc+9e//oWzZ89i165d+PXXX/Hpp58iNTWVM6VSndQ110xMTGBra6vwA1T1SlhbW2vy\nKZCWUOZ9LTAwEN988w3i4uJw8+ZNfPbZZ0hJSUFISIhyB63XJO8NVGlpqTBr1izBy8tL8Pf3F3bs\n2CEu69Spk8J9ri5fviyMGDFCcHd3F8aMGSNcvXpVAxGTtlIm1+QOHjzI+2CR0uqaawMHDhQ6depU\n7Wf27Nkaipy0jTLva4mJiUJQUJDg7u4ujBo1SkhJSdFAxKStnuUzVL6M98EiZSiTa1999ZXw8ssv\nCy+++KIwcuRI4dy5c0ofTyII/z8+joiIiIiIiOpF54YIEhERERERaQoLLCIiIiIiIhVhgUVERERE\nRKQiLLCIiIiIiIhUhAUWERERERGRirDAIiIiIiIiUhEWWERERERERCrCAouIiIiIiEhFWGAREVGD\n8P3336N3797w9PTEDz/8oOlwiIiInolEEARB00EQEREFBwfDzc0N77zzDqytrWFiYqLpkIiIiJRm\noOkAiIiIAKC4uBi+vr5o166dpkMhIiJ6ZhwiSEREGhcYGIg7d+5gzpw5CAwMhLOzMzZu3IguXbpg\n8eLFAIDjx49jyJAh8PT0xJgxY3Du3Dlx+4qKCixZsgR+fn7o06cPEhIS4OzsjLy8PACAs7MzkpOT\nxfVjY2MRGBgoPr527RomTJgADw8PDBw4EHv37hWXbdiwAR988AEWLFgAHx8f9OjRA1FRUeLyyspK\nrFmzBv7+/vD19UVERAQKCwsRHx+Pbt26obKyUlz32LFjCAgIAAePEBHpLhZYRESkcV9//TVeeOEF\nzJkzB+vWrQMAXLhwAQcPHkRoaCgyMzMxe/ZsTJ06FfHx8Rg+fDgmT56MmzdvAgDWrVuHxMREbN68\nGatXr8aGDRvqfOyysjJMnjwZvr6+iI+Px+zZs7Fp0ybExcWJ6xw7dgzGxsY4dOgQJk6ciE8++QQ3\nbtwAAKxfvx6HDh3CsmXLcODAAfz+++9YsGAB+vXrh7KyMpw9e1bcT0JCAgYPHgyJRKKKXxsRETVA\nLLCIiEjjrKysoK+vj2bNmsHKygoA8Prrr6NDhw6ws7PDF198gVdffRXDhg2Dra0tQkND0bt3b+zf\nvx8ymQwHDx5EREQEunTpAj8/P8ycObPOx/7mm29gbW2NGTNmwM7ODoGBgXj77bexe/ducR0LCwvM\nnj0btra2mDRpEiwsLHDlyhUIgoCvvvoK7733Hnr37g1HR0csWrQITk5OMDU1Rd++ffHtt98CAB4+\nfIikpCQMHTpUtb88IiJqUHgNFhERNUiPX4uVk5ODhIQEHDhwQGx79OgR/P39UVhYiKKiIri4uIjL\nvL2963yc3NxcZGZmKmwjlUqhr68vPraxsVF4bGpqisrKSvHYbm5u4jJHR0dMnz4dABAUFIS5c+di\n4cKFOHXqFFq1aoUXX3yxzrEREZH2YYFFREQNkrGxsfh/qVSKyZMnY8SIEQrrmJiYiLMNPn5dk5GR\n0RP3LZVKxf9XVlaiR48emD9/fq3rGxoaVmsTBAEGBk/+GO3duzekUil++eUXHDt2DIMHD37i+kRE\npP04RJCIiBq8jh07Ii8vD7a2tuLPgQMHcPr0aZiamqJNmzZIS0sT109PT1fY3tDQEH/99Zf4+Pbt\n2wr7vnHjBmxsbMR9X7p0CXv27HlqXM2bN4elpSUyMzPFtoyMDPTu3RtlZWUwMjLCgAEDcPz4cfz0\n008cHkhE1AiwwCIiogYvLCwMR48exe7du3Hr1i3s3LkTO3fuhJ2dHQBg4sSJWL9+PX766SdcuXIF\nS5YsUdje3d0d0dHR+PXXX/H9998jNjZWXDZ8+HCUlZVh/vz5yMnJQVJSEpYuXQpra+s6xTZhwgSs\nX78eZ8+exfXr17F06VJ4eXmJPWtBQUHiJB5OTk6q+YUQEVGDxSGCRETU4Hl5eWHlypXYsGEDVq5c\niQ4dOmD16tXo0qULAGD8+PG4f/8+3n//fRgYGCAsLAwZGRni9vPmzcPcuXMRFBQEd3d3REREYMuW\nLQAAMzMzREVFYdmyZRgxYgQsLCwwfvx4TJkypU6xvfXWWyguLsaMGTNQWVmJgIAAzJs3T1zerVs3\nmJqaYsiQISr8jRARUUMlEXgzDiIi0jF5eXno168fvv/+e9jY2Gg0lpKSEvTq1QuHDx9G+/btNRoL\nERE9f+zBIiIieg4EQcCxY8fw3Xffwdvbm8UVEVEjwQKLiIjoOZBIJFi1ahX09fWxefNmTYdDRERq\nwiGCREREREREKsJZBImIiIiIiFSEBRYREREREZGKsMAiIiIiIiJSERZYREREREREKsICi4iIiIiI\nSEVYYBEREREREakICywiIiIiIiIVYYFFRERERESkIv8HgMCmmQWUnSUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "freq, p_ls = LombScargle(t, y).autopower(minimum_frequency=0,\n", " maximum_frequency=0.5,\n", " normalization='psd',\n", " samples_per_peak=20)\n", "p_schuster = schuster_periodogram(t, y, freq)\n", "tau = 1. / (4 * np.pi * freq) * np.arctan2(np.sin(4 * np.pi * freq * t[:, None]).sum(0),\n", " np.cos(4 * np.pi * freq * t[:, None]).sum(0))\n", "sin_window = (np.sin(2 * np.pi * freq * (t[:, None] - tau)) ** 2).sum(0)\n", "cos_window = (np.cos(2 * np.pi * freq * (t[:, None] - tau)) ** 2).sum(0)\n", "\n", "fig, ax = plt.subplots(2, figsize=(10, 5), sharex=True)\n", "ax[0].plot(freq, p_schuster, '-', color='gray', label='Classical Periodogram')\n", "ax[0].plot(freq, p_ls, '-k', label='Lomb-Scargle Periodogram')\n", "ax[0].legend();\n", "ax[0].set(ylabel='Spectral Power')\n", "\n", "ax[1].plot(freq, sin_window, '-', color='black')\n", "ax[1].plot(freq, cos_window, '-', color='gray')\n", "ax[1].axhline(len(t) / 2, linestyle=':', color='black')\n", "ax[1].text(0.49, 29, r'$\\sum_n\\ \\cos^2 [2\\pi f (t_n-\\tau)]$', ha='right', va='top', size=14)\n", "ax[1].text(0.49, 1, r'$\\sum_n\\ \\sin^2 [2\\pi f (t_n-\\tau)]$', ha='right', va='bottom', size=14)\n", "ax[1].set(xlabel='frequency',\n", " xlim=(0, 0.5),\n", " ylim=(0, 30))\n", "\n", "fig.savefig('fig17_ls_comparison.pdf', left=0.07, right=0.97)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.5", "language": "python", "name": "python3.5" }, "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" } }, "nbformat": 4, "nbformat_minor": 0 }