{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## [Python Programming for Biologists, Tel-Aviv University / 0411-3122 / Spring 2015](http://py4life.github.io/TAU2015/)\n", "# Homework 7" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "sns.set_style('white')\n", "sns.set_context('notebook', font_scale=1.2)\n", "sns.set_palette(sns.color_palette('Set1', 9))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1) Ebola outbeak\n", "\n", "In this question we will analyze data from the 2014 Ebola global outbreak.\n", "\n", "**a)** Start by reading the data in the CSV file from . The file contains a time series of case counts and deaths from the [World Health Organization](http://www.who.int/csr/don/en/) and [WHO situation reports](http://www.who.int/csr/disease/ebola/situation-reports/en/). The data was originally compiled by [Caitlin Rivers](https://github.com/cmrivers/ebola).\n", "\n", "Remember that _pandas_ can read files from a remote location so you don't have to copy it to your computer, unless you want to work offline." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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DateDayCases_GuineaCases_LiberiaCases_SierraLeoneCases_NigeriaCases_SenegalCases_UnitedStatesCases_SpainCases_MaliDeaths_GuineaDeaths_LiberiaDeaths_SierraLeoneDeaths_NigeriaDeaths_SenegalDeaths_UnitedStatesDeaths_SpainDeaths_Mali
0 1/5/2015 289 2776 NaN 10030NaNNaNNaNNaNNaN 1786 NaN 2977NaNNaNNaNNaNNaN
1 1/4/2015 288 2775 NaN 9780NaNNaNNaNNaNNaN 1781 NaN 2943NaNNaNNaNNaNNaN
2 1/3/2015 287 2769 8166 9722NaNNaNNaNNaNNaN 1767 3496 2915NaNNaNNaNNaNNaN
3 1/2/2015 286 NaN 8157 NaNNaNNaNNaNNaNNaN NaN 3496 NaNNaNNaNNaNNaNNaN
4 12/31/2014 284 2730 8115 9633NaNNaNNaNNaNNaN 1739 3471 2827NaNNaNNaNNaNNaN
5 12/28/2014 281 2706 8018 9446NaNNaNNaNNaNNaN 1708 3423 2758NaNNaNNaNNaNNaN
6 12/27/2014 280 2695 NaN 9409NaNNaNNaNNaNNaN 1697 NaN 2732NaNNaNNaNNaNNaN
7 12/24/2014 277 2630 7977 9203NaNNaNNaNNaNNaN NaN 3413 2655NaNNaNNaNNaNNaN
8 12/21/2014 273 2597 NaN 9004NaNNaNNaNNaNNaN 1607 NaN 2582NaNNaNNaNNaNNaN
9 12/20/2014 272 2571 7862 8939NaNNaNNaNNaNNaN 1586 3384 2556NaNNaNNaNNaNNaN
\n", "
" ], "text/plain": [ " Date Day Cases_Guinea Cases_Liberia Cases_SierraLeone \\\n", "0 1/5/2015 289 2776 NaN 10030 \n", "1 1/4/2015 288 2775 NaN 9780 \n", "2 1/3/2015 287 2769 8166 9722 \n", "3 1/2/2015 286 NaN 8157 NaN \n", "4 12/31/2014 284 2730 8115 9633 \n", "5 12/28/2014 281 2706 8018 9446 \n", "6 12/27/2014 280 2695 NaN 9409 \n", "7 12/24/2014 277 2630 7977 9203 \n", "8 12/21/2014 273 2597 NaN 9004 \n", "9 12/20/2014 272 2571 7862 8939 \n", "\n", " Cases_Nigeria Cases_Senegal Cases_UnitedStates Cases_Spain Cases_Mali \\\n", "0 NaN NaN NaN NaN NaN \n", "1 NaN NaN NaN NaN NaN \n", "2 NaN NaN NaN NaN NaN \n", "3 NaN NaN NaN NaN NaN \n", "4 NaN NaN NaN NaN NaN \n", "5 NaN NaN NaN NaN NaN \n", "6 NaN NaN NaN NaN NaN \n", "7 NaN NaN NaN NaN NaN \n", "8 NaN NaN NaN NaN NaN \n", "9 NaN NaN NaN NaN NaN \n", "\n", " Deaths_Guinea Deaths_Liberia Deaths_SierraLeone Deaths_Nigeria \\\n", "0 1786 NaN 2977 NaN \n", "1 1781 NaN 2943 NaN \n", "2 1767 3496 2915 NaN \n", "3 NaN 3496 NaN NaN \n", "4 1739 3471 2827 NaN \n", "5 1708 3423 2758 NaN \n", "6 1697 NaN 2732 NaN \n", "7 NaN 3413 2655 NaN \n", "8 1607 NaN 2582 NaN \n", "9 1586 3384 2556 NaN \n", "\n", " Deaths_Senegal Deaths_UnitedStates Deaths_Spain Deaths_Mali \n", "0 NaN NaN NaN NaN \n", "1 NaN NaN NaN NaN \n", "2 NaN NaN NaN NaN \n", "3 NaN NaN NaN NaN \n", "4 NaN NaN NaN NaN \n", "5 NaN NaN NaN NaN \n", "6 NaN NaN NaN NaN \n", "7 NaN NaN NaN NaN \n", "8 NaN NaN NaN NaN \n", "9 NaN NaN NaN NaN " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('https://raw.githubusercontent.com/Py4Life/ebola/master/country_timeseries.csv')\n", "df.head(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the data contains the accumulated number of cases and deaths in several countries. The `Date` column specifies the date of the data point. The `Day` column is days since 22 March 2014. The rest of the columns contain the accumulated number of cases and deaths. Cells that have no data - there was no update for that country on that date - contain `NaN`.\n", "\n", "For example, `Cases_Guinea` is the accumulated number of cases of Ebola in Guinea (103 by 37 March 2014, 2730 by 31 December 2014, no additional cases reported until 3 January 2015); `Deaths_SierraLeone` is the accumulated number of deaths by Ebola in Sierra Leone (5 by 27 March 2014, 2827 by 31 December 2014).\n", "\n", "**b)** Next, plot the number of cases in Liberia, Guinea and Sierra Leone over the entire time of the outbreak. You can use for x-axis the number of days since the start of the outbreak, but bonus points for using the date. (Note: you can invert the axis by calling `plt.gca().invert_xaxis()`)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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REamUvJ8WkDd7Ns7YOOLvuA1nbGyp9sTIpFLlBlENiIuMr84QJYyUWIiISIXl\nzZ/PvtG34du1C4D8RQtp/M7bONwHf5xcddLVbM/ehk1fTVxEPFefdDURzohwhSzVTImFiIiU4s/N\nJXvq+wDEDL+YzKefxrd7D5G9T6Fg3fripALAM+9HvOvXE2FMcV2UK4q/nPZXCnwFuB1ubYhVzyix\nEBGRYv7cXPZcMxLPj/MBOPDEv/Dv2wdA7seziDy1b+kOMTE4k5LKDgOgWYp6Sos3RUSkWPb77xcn\nFUBxUgGA14sjJpbIfv3A4YD4OBJG3YwrJSUMkUpNpRkLEREp4ciPLZyNGpI88VUKrMXZIBl3yxbV\nFJfUFpqxEBGpx3wZGXiWLcOXkwNA3JVXBGYkgtydO+Fq1xZHUhKR/fqReP8YHBERRHbpoqRCDksz\nFiIi9VTu7Nlk/O1BfNu34zYnkvz000R270bjt98ke9o0AOIuvxwiIvBnZeFITNRCTDkqJRYiIvVM\n7qxZHHj2ebzWgscDgNeuIfOZZ2n0xkQc0dHEjxxZqo+jnAWaImUpsRARqUd8GRlkPPgQvm3bDm3L\nzQlDRFLXaI2FiEg94t269bBJBVFRxJw7oPoDkjpHMxYiIvWIu1073B074l29OljhIvL004n97eXE\nXXZJeIOTOkGJhYhIHZc370fyvpyDq3Ej4m++ieRnniLzmWfx5eQSc+45xN980zGNm+/Nw+lwEeHS\nRlhykBILEZE6LO/LOaT/6S786ekAeJam0eill2g08bVjHtPv9/PikueZv+1HXE4Xv2kziBGdrwpV\nyFLLKbEQEalF/B4PB574F4VbtuDu2ImE39+Ow+ksbsuaNBl/djaxl12Ku3Vrcj7+uDipAMj/5jt8\nBw7gTEw85hi+3PQFX2z8HD9+AKavmU6vlFMwDTse381JnaDEQkSkFtl33/3kvv9+sPRf/FmZJD3w\nF/yFhey98Sby/zcXgJz/fEjjf0/GERlZqr8jOvqQusram7unOKkA8BTmsyVrqxILAfRWiIhIrVKQ\ntqRU2fPz4sDfi5cUJxUAhevXk/3eeyT84fdEdO0aqIyPJ/6mG3BERx9XDL2b9SE5Krm43DI+lV4p\nvY5rTKk7NGMhIlKLOJOTS5cbNADAERMNbjd4vcVtDncE7tRUGn84A8/iJbhapRLRqtVxx9Ah+UT+\n2Ptu5m7+EqfDxfAOl9IgqsFxjyt1gxILEZFaJPH++8n4ywMUbt2Ku307Ev8yBoCIk04i9orLyZn6\nPhQWEtEDH1T/AAAgAElEQVSrF3GjbgbAGRND9On9jjRspfVo2oMeTXuEdEypG7TpezmMMW2ADXPm\nzCE1NTXc4YiIFPP7/YGzO+LjS53d4ff7yf/+e3zp+4i+4HycMTFhjFJqI0cIDoPRjIWISC3jcDhw\nJCQctj76zDPDEJHIQVq8KSIiR1TgKyAjbx8+vy/coUgtoBkLEREp17xtP/Dv5ZPYl7ePtkntuKfv\nfTSKaRTusKQG04yFiIgclt/v591f3mZ79nbyCvNYmf4Lb//yVrjDkhrumGYsjDHRgM9a6wlxPEXj\njwDGAa2AHcB11trvjDHnAS8E6+cH6zeX6PcYcGOwONFaO6ZEWxtgEtAX2AzcYa2dUxXxi4jUdpn5\nB5hup7MzZ1ep+pyCrDBFJLVFhWYsjDGPGGNOC34eAOwF0o0xF4Q6oOCYE4BrrbXxwFnAemNMY2AG\n8ACQDCwEppboNwq4GOgW/DM0WFdkCrAIaBgc44PgmCIiUoKn0MPDPz7Ef9ZOJ78wr7je7XBzcpPu\nYYxMaoOKPgr5P2BV8PNY4K/An4C/V0FM44Hx1tqfAKy1262124BLgWXW2unBmZIHge7GGBPsdy3w\nhLV2W/D6J4DrAILX9ATGWWvzrbUzgKXAZVUQv4hIrbZs9zJWp68qVdc6oTW3dB/NRe2HhikqqS0q\n+igkyVqbYYyJIfADeiDgBR4PZTDGGBdwCjDTGLMGiAY+BO4BugBpRddaa3OMMWuD9RY4qWQ7gcSh\nS/BzF2C9tTa7RHtaiXYREQlKikokwhFBgb+guK7/Cefwm7aDwhiV1BYVnbHYb4xJBfoDS6y1BQR+\n6Id68WcKEEFgJuFMoAeBROavQBxwoMz1B4Cil7njgf1l2uLLaSvbV0REgjokn8igdhcS6YzEgYNe\nTU9hWPvh4Q5LaomKzlhMAuYRSCbuDdb1AVaHOJ7c4N/PWWt3AhhjniSQWHwDlD3nNwnIDH7OKtOe\nFKw7XBtAAw5NVEREBLip2y1c1G4oud48Tkg6AZfDFe6QpJao0IyDtfZvwA3Ab621k4LVuRxMMkLC\nWrsP2FJO8wqgeNWQMSYOaB+sL2ovuXF9d2B5ibZ2xpj4Mu0rEBGRw2oW35y2DdoqqZBKqdSe4MYY\nB9DMWru9iuLBGDMeuBAYQmAdx3+B/wHPAWsJJDizgYeAM621pwf7jQLuBM4ncF+fA89Ya18Nts8D\nviOw+HQw8DrQwVq7t5w42qCzQkREpB4JxVkhFX3dNNYY8yqBWYp1wbqLjTEPHG8Ah/EwsIDAgsxf\nCLwi+oi1dg+BtRePAOlAb2BEUSdr7SvAR8AyAgs3PypKKoJGBPukB8e4rLykQkRERI5NhTITY8wL\nwIkEftv/zFrbwBjTCvjUWlsn36zQjIWIiNQ31TZjQWDjqd9Za+cD/mDdFqDl8QYgIiIidUdF3wpx\nc+gbFDFATmjDERGR6pTjyebFtBfZkbWNxrFNGd19NA2ik8MdltRiFZ2xWAiMKlM3EvgxtOGIiEh1\nemXpy3y75WvWZKxh3rbveXHJC+EOSWq5is5Y/Bn41hhzBRBrjPmMwELI06ssMhERqXI7sku/5Lcz\ne0eYIpG6oqL7WKwCOhPYXvsN4Hugh7U21BtkiYhINUqJbVa6HNesnCtFKqbCx6YHX/d8sgpjERGR\nauT1ebn6pJEU+gvZkbWdJnFNGdXt1nCHJbVchRILY8wdwPfW2sXGmB4EZi68wBXW2p+rMkARETmy\nfXn7+HLT50Q6o7iw3WAiXZFH7fPdlm95+5c3OZB/gPbJHXjwjIdIiCp78oFI5VV08ebdwNbg50eA\n6cC7wL+qIigREamY9Nx0xn0/lrd/eYs3lk/k7/MewuvzHrFPob+Qd355i+3Z28n2ZrN0dxpvr3y7\nmiKWuq6ij0IaWWt3GWMigDOAywEPsKvKIhMRkSMqKCxg2qqpbDqwsbgubfcSFu1cyKnNTyu3n6fQ\nQ6Yns1RdtiernKtFKqeiMxbZxpiGwGnAKmttTrBvRJVFJiIi5dqVs5P7v7mX2Rtnlap34CDSGXXE\nvjHuGDokm+JyhDOSk5t0q5I4pf6p6IzFf4AvgXjglWBdN2BjFcQkIiJH8d7Kd1mTseaQ+jNankn3\npt0P06O0+04dw9sr3iSzIIuTG3flgja/qYowpR6qaGLxR+BaIB8oehCXAPy9KoISEZEjyyvML1WO\ndcdye68/cHqL03E6jj4ZHeOO4ebuZfc9FDl+FUosrLUe4LUydXOrJCIRETmqPil9+XnnInK9uQD0\nSjmFM1ueGeaoRCqxj4UxphNwDtCEEqeiWmsfCn1YIiJyJOe2HkC0O4qlu5fSILoBl5nLwx2SCFDx\nfSwuB94BfgG6ACuCf38HKLEQEQmDfi3PoF/LM8IdhkgpFX0r5G/ATdbaHkBW8O8/ENjaW0RERASo\neGLRmoOLNov6TARuCHlEIiIScn6/P9whSD1R0TUWmUBc8O9dxph2wF4Cb4aIiEgN5Sn08PSip7Dp\nq0mITODqk66hd7M+4Q5L6rCKzljMA4YHP38MfATMJbDGQkREaqh3V77N91u/ZXfuLtbvX8ekZa9T\n6CsMd1hSh1V0xuJqDr4JMgbYDSSis0JERGqkgsICJi9/gx+2/VCqPj0vneyCbBJ14JhUkYruY5Ff\n5vOjVRaRiIgctxeXPM//Ns85pL51YmsSIvUUW6rOER+FGGOuNsbMKKdthjFmRNWEJSJSv2W/N5X0\n225n3733UbhnT6X7b9q/sVQ5zh3HOa3O5e4+9+JwOA7fSSQEjjZjcQswtpy2Jwls6f1eSCMSEann\nsqfPIOOBv0JeHgDedetoPO19HM6KLouDBlENSpVPatyVP/W+O6RxihzO0RILQ/kLNOcBnUIbjoiI\n5H//Q3FSAeBJW4pv1y5czZpVeIwbT76J/LR8dmTvoHlcc248+caqCFXkEEdLLBKC13jK6asHdSIi\nIeZqmFyq7GzUCGdSUqXGaJnYikfOmoDf79ejD6lWR5tX2wz0KqetR7BdRERCKPHuu4i+4HycDRvi\natuGxPvuxRETc0xjKamQ6na0GYvpwDPGmEHW2n1FlcaYZOBp4IOqDE5EpD5yxMTQaPIkfDk5OKKi\ncLhc4Q5JpMKOllhMAAYDa4wxs4GtQCpwIbAR+EeVRiciUo85Y2PDHYJIpR3xUYi1Nhs4m8AbIO2B\ny4C2BDbGOttam1PlEYqIiEitcdQNsoLJxaNoUywRERE5iopu6S0iIiHkWbWanCnvUbhzB4W7duPw\n+4g65xwS7/xDuEMTOS5KLEREqpl3wwbSb7yRwo2bStV7lqThat6cuCsuD1NkIsev4tu4iYhISOT8\n9+NDkgoAPB4KVqyo/oBEQkiJhYhINXMmlXOyqMtFxIknVm8wIiFW4UchxpjG1trKn4RzjIwxJwLL\ngGnW2pHBuvOAF4BWwHzgOmvt5hJ9HgOK9q2daK0dU6KtDTAJ6EtgY687rLWHHv0nIhJivtxc9j/4\nEN5ffyWiXVsS7x9D/g/zyPvsM3A4cCQn42zalJhz+hN79VXhDlfkuFRmjYUFGgIYY4Zbaz+smpCK\nvQD8BPiD39mYwIZdNwIfETgAbSrQL9g+CrgY6Bbs/4UxZoO19pVgeQrwPTAIGAJ8YIw5sTqTJRGp\nnzLuuZfc/wT+J9Pz9df48/Np+MpLeNevh8hIIlq1CnOEIqFztGPT3zDG3GSM6QqU3Bd2UlUGFTyO\nfR8wp8T3Xgost9ZOt9Z6gAeB7sYYE2y/FnjCWrvNWrsNeAK4LjieAXoC46y1+dbaGcBSAvtyiIhU\nqQJrS5dXWxwOBxHt2yupkDrnaDMWC4BzgPuBRGPM+8BXVOHaDGNMIjAeOJfAse1FugBpRQVrbY4x\nZm2w3gInlWwnkDh0KdF3fXBPjiJpJdpFRELK7/GQ9eZb+HNycCSWXlPhSmkapqhEqt4REwtr7UvA\nSwDGmAzgQ+A8IM4Ys5rA+oe/hjimhwmsj9hmjPETfBQCxAG7y1x7gIMnrMYD+8u0xZfTVtTeMlRB\ni4gU8RcWsvfGm8j/31wAXK1b4z7lFPy7d+Nu15akB8dVesw16Zb3Vk8h15tLt8bdubLTCB0wJjXS\nERMLY8wM4AfgRwBr7bvAu8aYS4ErCTyeCBljTA8CiUvPYJWDg49CsoCyS6mTgMxy2pOCdeX1bUAg\nuRARCQnPypXkzf6Ewn0ZxUkFQOGmTcQPG0bSmHuPbdxCD88ufprNBwJr1VftWUmDqAYMandhSOIW\nCaWjPQqZAZwKXAEkGGPmAP8DXNbaJcCSEMfTH2gDbA4unYgHXMaYk4CXCayjAMAYE0fg/JKil75X\nEDjKfWGw3B1YXqKtnTEm3lqbVaL9rRDHLyL1lGfxYvaOuhXf1q2Hv8B97E+Q9+buYcuBLcXlQgpZ\nv3/9MY8nUpWO9ijkbeBtKH4U8iRwARBrjNkGzLTW3hrCeF4l8PYGBGYq/kwg0RgdLD8enC2ZDYwD\nllhbvCrqTeCu4CmsDuAu4JngfVhjzBJgnDFmLIETW7sSeMtEROS45bw/rXRS4XSC3w9+PxG9ehJ/\n883HPHZydENS4lLYnr29uK5FfPPjCVekylTmdVO/tXYWMMsYcy2BmYyQ7jtrrc0FcovKxpgsINda\nuzdYvgx4nkCy8yMwokTfV4wx7QjsfQHwmrX21RLDjwAmA+nAJuCyonFFRI5Vzief4F25msJdpZeA\nOeLiSPrHI+D3E3PhhThjYio99sIdC/h2yzdEOCO4vOOVfL7xM3ILcujapBvDOgwP1S2IhFSFV/4Y\nY06z1v4Y/LzHWtu46sIKv+CGWhvmzJlDampquMMRkRrowJNPk/n885CfD/HxOBMT8W3bBpGRxN94\nPUl/Pfa17ct3L+Oxn/7BAU9gKVjbpLZMOPtxot3RoQpf5BCOEKwIrvCMRVFSEfxcp5MKEZGKyJ01\nK5BUAGRl4e7Wjbhxf8PVsgVRPXseufNRLNy5sDipANiwfwOr01fRvWmP4xpXpKrpdFMRkWPlKr0g\n0xEVSexFQ0IydHJUg1LlWFcsTeNSQjK2SFXSIWQiIsco7v+uxZGUBICzWTPib7g+ZGNf1GEYZ6X2\nJz4igYbRjbii05U0j9OCTan5tLtKObTGQkRK8hcUULB0KY4GyUS0b1dc71m5koIlaUSd3g9369Yh\n/96cghzcTjeRrsiQjy1SVrWusRARqa98OTnsvfZ6PD/8AFFRxF93LUl/GwtAZOfORHbufNzfkenJ\n5ED+AVLiUnA7D/5Pc2xE7HGPLVKdlFiIiBxF5osvBpIKgPx8sib/m9irry41c3E8Pt3wCVNWvsP+\n/P10bNiRMac+QHJ0ckjGFqluWmMhInIU/tz80hX5+fgz9oVk7AJfAR+snkZGfgZ+/KxKX8WUle+E\nZGyRcFBiISJyBN4tW3BERUKTJsV1kf36EdGtW0jG9xR6yPXmlKrLK8wv52qRmk+PQkREypH3ww/s\n++Ndga26Y2KI6NeP6NNOJf62W3FERBz3+Kv3rubj9f8l0nlwYWasO5a+zfoe99gi4aLEQkSkHNlv\nTDp4/kduLv5du0j8890hGXtvzl6eXPg4O3J2ABDliqJXSm/ObXUup7Y4LSTfIRIOehQiIlIOv7ew\ndLnQi9/vD8nYi3YuKE4qAPIL82mf1E5JhdR6SixERMoRe/lvcTRqGChERhIzdBgheM0fgFaJrYly\nRRWXXbhI0c6aUgfoUYiISDlihwzGlZJC/vc/4O7QjtghodmuG6Bzo85c3vEKPt/wGYX+Qk5veQZn\npfYP2fgi4aKdN8uhnTdF6h/vli1kPv0s/vw8YoZeRMzAgVX+nYX+QvCDy+mq8u8SORrtvCkiEiL+\n3FzSb7yZguXLAcj731wcL79I9Flnhe47/H6yC7KJjYjF6Qg8iXY5XPoVT+oUJRYiIoBn+fLipALA\nn5FB3tyvQpZY7MjawVOL/sWvmb/SKLoRN3cfRbcmodkLQ6Qm0eJNERHA1aIljsTEUnXORo1CNv5b\nv/ybVekryS7IYnPmJt5e8e+QjS1SkyixEBEB3C1bkHDXn3C2aIEjOZnoYUNJGHVLyMbP9GSWKh8o\nUxapK/QoREQkKOHmm4i/9v/wezw44+OPezxPoYcPVr9PdkE2ydHJOHDgJ7APhkk2xz2+VJ7P52d7\nRi5rdx5gz4F82jVNoEeb5JC9RixKLERESnFERuKIjDz6hUfh9/uZMP9RFu1cCEBCZCLntT6fgsIC\nGsU04qqTrjnu75CK2bQ7i417smnTOI6HP1zOii37KbnN2YXdW/C3S7oquQgRJRYiUq9lPvc8eV99\njSMulsQ/3klkr14hGXdf/j6W71l28Hs8B3Dg4K4+fw7J+HJ4G3dn8frctazZmUWrRrE0SYjms2Xb\nyM4vJD7KTVa+95A+n6Zt48LuzenbvnEYIq57lFiISL2VPeU9DvzrSSgoAGDf5s00+WQ2zpiY4x47\n2hVNtDuG/BInlUa5o47QQ46V3+8nJ7+QXQdyufOtRew6EPg337gnGwcUz04cLqkg2J6dd/g2qTwl\nFiJSbxUsW16cVAB416zFu2kzkZ06HvfYsRGxXNLhEqbZaeQUZNOxYSeu7Pi74x63vvMW+vhi+XY8\nXh+/6daCrek5PDpzOb+m5+J2OUjP8pS6vuzJLo7D1HU/IYkzOjatyrDrFSUWIlJvudq1AYcDggeL\nuU44AXfLFiEb/xJzGeecMICMvAxSE1OJcB7/Uev12adpW3nms9Xsyw4kg7MWbyM2ys2KrQfK7VMy\nkUiKcTOwa3O2789j5/5cEqIj6NW2IVef0YZIt16SDBUlFiJSb8XfeCOFv24l/7vvcMbFEv+HP+BM\nSAjpdyRHJ5McnRzSMeujtE3pPPbRSnILDp44u/TXDFISSz9eiolwklvgAyAu0sXVZ7ahQWwkO/fn\nc2r7RvRq27Ba466PlFiISL3lcDhoMH5cuMOQCli0YV+ppKJI06Rodh44uI7lgpObc0HXZsRFuenc\nMklveoSBEgsRqTcK9+zBl56Ou21bHBGhfSzh9/uZsvIdlu5eSkxEDL/rdDWmofaqOFbf211s3J3N\naR0a0z4lgbZN4ohwOSgoPLhCok3jWB7/XU8++OlXNu7OJrVRLDed0x63S481wkmJhYjUC5kvvkTm\n8y/gz8wksk9vGk56A1dSUsjGn71+FtNWv4+PwDT83tw9PHHOU0S6jn9PjPpm4ty1vPndejxeP+/N\n28gDw0/m3C7NGLkzky+X7yA730vXVg0Ye3FX4mMiuOncDuEOWUpQYiEidZ4vI4Osl1/Bv38/AJ75\nP5H59DM0GPe3kH3Hxv0bipMKgC0HtpCel06zuGYh+476wO/3MzttGx5vYGZid6aHmQt/5bQOjbll\nwIncMuDEMEcoR6PEQkTqPF92Nr7M0mdz+HNyjnvcbVnbeC3tZfbk7gm8XVJCSnwzLdosh8/n563v\nN7BuZxYtkmMOeXxRdlWEX+fK1ypKLESkznM1b05Uv37kf/01AI6GDYm58MLjHveVtJdYsmtxcbll\nfCqRrkhi3DH8rtNVRLm0IdbhvDRnDW99t6G4nJ6Vz18u7goEFtQO7tGSN79bT36BjyYJUVzaOzVc\nocoxUGIhInWew+mk4euvkfnsc/gzM4n+zUCizzrruMfdnbO7VDk5OplHzvrHcY9b1y37NaNUecXW\n/aXKN57Tni6pSWzYncVp7RvTtunxHwgn1UeJhYjUC86YGJLuuzekY7aMb8HWrC3F5dT4liEdvybz\n+fxs3J1FpNtJaqO4Q9pe+NKStmkfCdERjDqvA51aHFwomxRT+o2cxJhD39A5rUNjTuugsztqoxqV\nWBhjIoGXgPOAhsA64H5r7afB9vOAF4BWwHzgOmvt5hL9HwNuDBYnWmvHlGhrA0wC+gKbgTustXOq\n+p5EJPz8hYH9DxwuV0jHvb3XH4ha+ip7c/eSmpDKjd1uCen4NZW30Mdf3l/Cd6t343I5GNozlXuG\ndC7eM+KdHzbyzvcbi6/fm5XPpFH9cDkD7beefyJ7MvPYtDeHZknRjNaCzDqlRiUWBOLZDJxtrd1s\njBkCvG+M6QrkADOAG4CPgL8DU4F+AMaYUcDFQLfgWF8YYzZYa18JlqcA3wODgCHAB8aYE621e6rn\n1kQkHA489k+yp88AIO63vyXx3tCdLtogqgF/7hPaWZCayG4/wIbdWfRu14hG8VFMX/Ar36wKPAby\nef3MXPQrA05KoXe7RgBs2JVVqv+v6TlkZHtolBBYc9KmSTwTbz6NzDwv8VFunE4tzqxLalRiYa3N\nAcaXKM8yxmwAegONgWXW2ukAxpgHgT3GGGOttcC1wBPW2m3B9ieAW4BXjDEG6Amcb63NB2YYY+4E\nLgNeQUTqpNzPvyDzlVcgP3AwVeZLLxHRuxcxAwZUeqyvNs9l3rZ5RLoiubzj5ZyQ2DrU4dZI7/6w\ngde/Wkd2fiGpDWN4+LfdDjkJtNAXmJUo0qpRbKn2FskxJMWWftzhcDgO+whEar8avT2ZMSYFMMBy\noAuQVtQWTELWBusBTirZDiwt0dYFWG+tzS7RnlaiXUTqIO+GDcVJBQAeD9516ys9zsIdC3gl7SV+\n3P4D32z5iscXPEauNzeEkdY8OzJy+edHvzBxbiCpANiSnsu7P2zigq7NSG148Gj5Ti0SOavE6aDX\nntWOy/u2omPzBHq3bciYi07Sbpj1SI2asSjJGBMBvANMttZaY0wcsLvMZQeAohOD4oH9Zdriy2kr\naq8/K61E6qGoc8/B9dpECrdvB8DZogXR555T4f45BTk89/MzLN2dRo734L4Xmw9sZl3GOro27hrq\nkCslr6CQDbuySEmKpmH8sb/a+vXKnfyydT/tUxIYeHJzcvK93DtlMXZH5iHXen0+WjWO45+/68lH\nP2/F6XRw9eltiI06+OPE6XRw95CTjjkeqd1qZGJhjHECbwF5wB3B6iwgscylSUBmOe1Jwbry+jYg\nkFyISB3kWbOGvE8+I2rYRRRu247D4SDu/0YS0aHi2z9PWvY6P2z7/pD6hMgEmsc1D2W4lbY1PYf7\npy7B7sikQWwEo887keG9W1W4v8frY/I361iwfi8rt+3HWwiRLge/7s2hY/OEwyYVSbER/KZb4Fj5\ndk0TuHNQp5Ddj9QdNS6xMMY4gNeBJsBga23RcXYrCKyjKLouDmgfrC9q7wEsDJa7E3iEUtTWzhgT\nb63NKtH+VlXdh4iEj2fxYvaOvhXflq0AxPz2UpKffrrSJ13uytlVquzESUpsCpeYy2gU0yhk8R6L\nN75eV/zDPyOngLe+28CwXqkVXgg59oM0vl5Z+v48hX6+XrWTczo3JTrCSV7BwS3K+7ZryI3ndKB7\na+0mKkdWEx96vQR0AoYFF1oW+Q/Q1RhzqTEmGhgHLAku3AR4E7jLGNPCGNMSuAuYDBC8ZgkwzhgT\nbYy5FOgKTK+WOxKRapX93tTipAIgd/an+HaXfZJ6ZCv2LGdtxppSdd2aduelga/ym7aDQhLn8cgv\nc4R4XkEhXp//sNf6/aXrcz1elmzad9hrI11O2qckcM0ZbWkQF0FspIvzu6Tw5DWnKKmQCqlRMxbG\nmNYE3uTIA3YEXuYA4BZr7RRjzGXA88DbwI/AiKILrLWvGGPaAcuCVa9Za18tMfwIAolGOrAJuMxa\nu7cKb0dEwqXMfhUOtxvclXsD4b1VU8gqOPjaZIOoBvyx112VnvWoKmd3asq8tXuKF1ae0rYhke7S\nvyvOW7Obpz9dTWauhxbJsdw1uDMntUwiwuUkLsrN/pyCUtc3jItkRL/A2y43nduB3/Vrg6fQR4PY\niBpz31Lz1ajEwlq7iSPMogQ3tOp8hPb7gPuOMPa5xxujiNQs3t27yXzqafx5ucQMGkTMwIEk3HIz\nnh/n4129GiIjiRtxJa6G5f+2neXJIsoVRYTrYPKRW1D6rY8mMU1Jjqk5v7EP7NaCmEg3CzbspXF8\nFFed3qZU+39/3sI/P/4Fb2FgtiI9ez9Pf7KKV286FbfLyXVnt+XVOevYl5PPiSkJXNrnBPp2aESz\npINve8RFuym9p6bI0dWoxEJEpDL8Hg/pN9xEwc8/A5D32Rc4nn+O6HPPofEH08j7/DNcqa2IPvOM\nw/YvKCzgiQWPsXzPcqLd0VxmLmdwuyEAdGvSjbUZa/Djx/H/7d15fJ1Vnfjxz3P3m+RmT5o2TZN0\neVratKULLSBQyioMqIALCkVl01EWZRwHFH/OiA7jwijKJijjCIr4Q0QqWJaCLYWWLnSBbidNt6TZ\n99x9e+aP5ya92ZpabrP1+369+krynOe595x70tzvPc8554vG3IJ5Az7GSDp3ViHnzirksdWVXP/I\nO9isGp9eOoWPLSrhxS01PUFFt+akvSY+trCE5acV0e4PMzHbLctBRcpIYCGEGLMilZU9QQWA0d5O\n8I03cC0/H2tuDunXXjv4tfEI3/j7XRzsNLNseiNentn9e84pPodMZxYr5nyeXHcehzsPUeKZwhXT\nrjzp7TkRr+yo5el1+4km5lk+9Jpi3pRcBpptMa1PMi+P245HNqkSKSaBhRBizLIWFqJlZ2O0H82W\nacnOPq5rf7frqZ6goltnuIO2UDuZziw0TRvxYCIeN6hp9WOxaLyxs55wNM4VC4opyj56u+Jws68n\nqADoDERRdZ1ccXoxh5p8eENRrBaomJzNd6+aOwKtEKcaCSyEEGOWtaAAz9e/hvfRxzB8PpxnnYXn\ntq8e17V9l5ICzMjWmZQxKdXVHFKLN8Rjr1fSGYiwoCyHa88qIxyNc/cftvLuvmYMoHvBx+oP6vnp\nikU9wcX8KTmkO234QuY220VZLhaU5VCQ6aKsIJ1dRzqomJwtKzrEsJHAQggxpnluvomM6z5HPBDE\nkpN9zNULjb4GfvPBk7SHO4jFeue7yHJm860z78VuGb5bA3uOdPLshoNsqGqmzWeu0HhbNWK3WugK\nRhmQH/0AACAASURBVHinsn+OxAPNPlZuPcIty82NvpZMz+frl83itffrsVs1rj2rlIJMFwALynJZ\nUJY7bO0RAiSwEEKMA5rbjdXtHrCsqq2Kvx14CQ2oat9PVce+njI9ZyZ2qx2PPZMbKj5Prnv43oSb\nOoPc+9w2alp7rz6JxmH74XYmZA2+Rbe9zyZYVywo5ooFkqFAjA4SWAghxgTDMPA99TThrduwFU/C\nc+cdaPZjjy40+Br40cb7qffXA+bOmclyXTncc+a9J63OfcXjRs/OmO9UNvULKrrlZNi5cHYRr+yo\no7Ez1Kvs9NIcPnPWqZFZVYxNElgIIcYE7yOP0vmjH0PUvIURra4h98GfHvOa9bXre4IKgDjxXuX5\n7sK+l5wUBxq7+OHKXdS2ByjJS+dbH5tDWX46TruFUNK22RkuGwtLc/nnC3RcDiv/+enTefX9OmxW\njbmTs9EsGmfPKOi3EZYQo4kEFkKIMSH0zjs9QQVAeNOmIa/JdGaioWEkFl9asDA5owRDM5iaNZXP\nV3zhZFUXgPer23jijSp2Hmnv2SGzsTPEg6v28qPPLeCGj5TzwpYa4obB+adN4GsfnYnddnTX0IqS\nbCpKjm+VixCjhQQWQogxQcvw9PrZkpXV830sHiMSj+CymZMWw7EwP9n4I/a07sZtcxMzYtgtDpaV\nLOOWeV8alu2pI9E497+4i/2N3n5lbX7z9sZNy6fz+fOmEjeQUQgxbkhgIYQYE7L+7ZvEamqI7N2L\ntagIzzf+BYCX97/MnyufIxgNUpE/l3854195Zs/vebd+Q8+1ea48frTsAfLT8k9qHVe+V8M7lc2k\nOaxctXgyNa3+Ac+bPiGz53vZ8VKMNxJYCCHGBNvUcgpefIF4UxOWnBw0p5P2UDvP7HqazkgnAO/U\nvk2ZKqcr1Nnr2o5wZ8/tkFTyBiL8dNUemjqDWCwaWw+2Eoqaz3OgyUtxjpsDTb6e88sK0jh7RgFf\nuUgf7CGFGPMksBBCjCqGYRBvbERzOLDk9N7USbNasRYV9fzcGmjtCSq6dYY6qMify5qaNYRj5i2H\nGdnTT8pS0vte+IA1e/pvtAWg6jr53ifn88LmarpCUU4vzeGOS2ZKllAx7klgIYQYNYxYjNbbbie4\n+g00u530668j6567Bz2/xFPC9OwZ7GuvBCDNlsbphQs4Y+ISokaErQ1bcdvdXDdrBVbNOujjDFkv\nw+DBVXtZv68Zp83C9eeUc8nciRxs9g16TW6Gk6XT87lgTtGg5wgxHklgIYQYNbz/+78EX1wJgAF4\nn/gVrssvwzl/PsFokIe2/oLDnYfIc+Vx87xbKPZM5u6l3+KPe/5AKBZiycSlnDFxCQAXlV7CRaWX\nnFA9DMPg+U3V1LT6OdTs5XCLv9eeEw+u2sPi8lwKPE4OJQUXhZlOYnGDdKeNG5dNI90pf2LFqUd+\n64UQI84wDLyPPIrv2Wd7F4RCxKprYP58fr3jCd6qWQPAoc6DPLYtwn3n/icFaQV8deHtH+r5g+EY\nNqvWM5HygZd386eN1YPOymjxhjnU7OOuy2bxwMu7aegMUpqfwb2fqCDdacNu1eSWhzhlSWAhhBhx\n3sd+Sc1DP2G3nk72tDTqJ7pwhA3O9k/Euew8AJoCTb2uaRggidjxCEVidAQiZLrs/NfKnazd00go\nGiM7zc4ty2fwicUlrE8k/hpMSV4aM4o8ZLjsPPzFJSdUDyHGKwkshBAjbm/VBh67cypNE1xmGs/E\nttd7sudzT0YaABPTJ7GV93quOd4spNFYnPWVzaBBMBzl0dX7aPGG8LhsNHeFe85r8UZ4bLVi+ewJ\nOG0Dz8fwuGwsKM3hhnOnkuEavmRlQowlElgIIYZdS6CZcCyC39/Oo6/8O4fO6CLsMDe3IinB1qb2\n7Wxr2MaiokXcOPcmYkaUQ52HyHXlcPO8W4/5HKFIjD21HfxydSXvHWoHwO2wEgjHEuXhfte0+6O0\neMN87uxSHnq1knZ/mDSHlZx0O5Ny0vnaR2cybYKn33VCiKMksBBCDIvdzbtYe2QNe2p3UO2tJm4B\ndxi8GQCDbxJlGGYuDbvVzlcW3DZAucH6ymZavSHOP20CGW47rd4Q//r7rew80tHr3O6gYjCzizMp\nyU1jamEGS6flc7DJy2nFWTI6IcQ/QAILIUTKBaIBfBEfOa4cqtqrWH3wNd46shZfJLGCIvGXx+s6\n9uMsLlrCgqKFxzznhyt38eJ7NcQN+OO7h3nguoX8dt2BfkFFXw6rxvyyHJo6QvhDUeaUZCdydZhB\nTkGmi4LMISoohOhHAgshREo0+5v5S9WfOdRxiIMdB/BH/UxMn0hrsA1vpOu4HmNqm52Ll91EJB7F\nbXNzYelFx9x/oqbFx0vbjxBPzLRU9V08s/4Q4ejAIxOnTcpkfmk23mCM00tzuGJB8T/cTiHEsUlg\nIYQ4YeuPrGdb01bcNjfvNWzhUOfBXuWHuw4f8/rclhBT6+OEbFAcSefGFQ/gLJs64LmGYfDnzdXs\nrOlkQpaLG5dNJRI3iMd7r9+IGwYXzili7Z4m2nzmPIrSvDQunTeRTy2dgsftOPEGCyGGJIGFEOIf\nZhgG646s5eGtDxGIBoa+oFvcwBmMUdQQorw2wjJnBQvuewTCYQyHkzZ/mLU7alm9qwGbVeO6s8s4\nrdhMG/702wf55WpF1JxyQX27n+9cNZdlsybwxq4GAEpy3Xx84WTKCzO4/9PzWbu3kQyXnRUfKe+5\nxSGEOLkksBBCDMkfMbN0Huw4wJMf/Jr2YBsxIz5kUGGPaTj8YXweO85AjGVrmrlgTTOZXVFyf/Mk\n7osvZm9dB5uqWnh9ZwMHGr1EonESsQN7a7t4/KYl5GQ42XKgtSeoANhe3Y6madz3qfks2lxNVzDC\nxRUTKc41l6eeXpbL6WWpzw8ihDg2CSyEEL2EY2Eeeu8XHOioIsuZTbYzm21N29AM0DSNjvDAkyJd\nOIhEw8Q1yG6Jkltn46wddYS6Cti8oABXm5P69vn88gwPgdx8nEcyyX9+B2/tbaIrGB3wMatb/Ww5\n2MpFFRPJ6LM9tiexUsNq0bhmyZTUvghCiBMmgYUQpzBfxIeGRpo9jY1171Lvq2N/237W1LxpnjDE\nHAkt6iBuDaNFXGhVOg2x+WAxaAhmYFjs7ClvwWdPI+R0g8uASUnbXB9oR6P9mDtcZrhsTC009424\n5YLp1Lb7qWrwUpjl4tbl0z5k64UQJ4MEFkIMs0A4Srs/QoHH2ZOb4ni1+8I8t+kwGOC0WQjHDJbP\nLmRqoYeaVj9v720k3+OkuSuEw2bhyoWTsVkt7KppR9V3keG2UNnYwNS8fPaEX+CtmnVY0JicOZH9\nHQcwiGHTjm/PBsMAb9N8gm0zicfcGFEndOfHSDSrNSPv6AUD5M4YLKhw2DQKM118cskUphZmAFCa\nn87jNy2l1RcmO82BQ+ZMCDEqSWAhxEkQjxu0+cN4XPZeb4Bv7KrnF68omjqDuOwWMlw2onEDm0Uj\n0+3ghnPLuahi4oCP2ekPc+dTW9hb19nr+MqtNXzxvKn8Zu1+6tqDvcre2tvMzJIoLx56CsPagcXu\nR7OEMZpcWGz+nvf6fe37er6PGpHebYlZsVjN5ZvRUAYRfwEWS5yIfwK+hiVA4sITyLll0cBigWjM\nDJRmTvQwtySHm86fhtth7ZfIy2a1UCh7SwgxqklgIcQ/4MX3ani/up0DjV46AxFcdivXfaSMS+cd\nzVvR3BXk3j/uQNV3kpPu4CsXzeDCRLDw6zerqGs3Jzx6QzG8oaP7LdR3hHhw1V7OmJpHVlr/JZF/\n217bL6gAqG8P8vS6g9S1B9CsQZxZVbiy94FhYXPdfPZpW7F5qntfZPX3+rHvYEIkkEM86saIufE3\nn4YruwpNA3/zXKKBCUdPjMfAYu4zkRYO4He4zeOGAZpGpsuG02GlqTOEzaoRNwwcVgtpDitZaQ6W\nnTaB2cVZVDV0MX9KDgvLZbKlEGOdBBZCYC6f9IdipDnNT8l1bQEefn0vu2o6yE13cPFcMzB4+DVF\nONZ7AP/BVXtZXJ5Lnsf8JP3L1fvYdrgNAH84wBNvVnHBnCIAfKGBJyl2a+oKUdPqHzCwcNoH3yjK\nsPrJnvZn7Gn1aJZYT6Bgc7eANvANByOuoVnMsljEgcUaRrNALOShs/oCon4zWEoP++nqKgVgTp0i\nbOmiIy2LstZqZnbWsi+3hEwtxg0fncff86YRi8exWy2EYgbn6AWUFaSzs6aD0rw0NIuGy27t177z\nZhUe83URQowdEliIEXek1U8wEqO8IIPKhk521nSwsCyXsgLz3nokGuevW2uIxAzCsRhdgSjRuEEw\nHCMWj2MAWWkOrllcwvObq2nxhjjSGiASizO7OIs7PzoLq2XwcfojrX7+4/n3OdjsozDTyZcvmMHD\nrysONJnbT9e2B9lT18nUQk+/oAKg1RfmQJOvJ7DwhnrfSugKRojGDOw2C/NLs6nfUT9oXcoK0ilP\ntLuvKxYU85p6j0r/Oix2L5rNh6ZBWrwMvSidnV1H+l1jdXhJoxA/vn5lWrCUQMCNYWhkR8+kI1hP\nxNZBITqlnUFqo+1kBrtYseZpLBjENY2ZjfuxJM2M8Nz1dTK+/CU0txvNYmGw6ZRLp+cP2mYhxPgi\ngYU4aQLhKI0dQR5dXcmOw+3YrBoLy3KJGwY7j3TgcdnJ9zjYVNVKJBanvCCDho4A3lCMvAwH37xi\nNmfPKOCu321h0/7WIZ/v+Y3VePuMCHxQ04HHbeeW5dMHve6R1xU7qs3sl52BCD9dtYcjbb33Z4jG\nIRgZeJvoklw3Mydm9vy8uDyPt1UT4aj5BjxnclbP5kzf+cRcinPSaeoM0tgZMCdAhqK47RY8bgdf\nOHcqac6B/1s2BuoJ572I293Q63iEVrxa2YDXeOyZ3HXGbfzvlmdpD7TicjhwB9MozS/hhozZvPrS\nJmyawfnaO9S8tpYGZyZ68I8425oHfrGsVuxnLMbiTsM+by6er38NzSKTKIUQR0lgIQYVixs0dARp\n84YoyU+nvj3AS9tqsVs1LplbxDPrD9PmC9HSFcJi0fAGozhsFnIzHBRmuthQ2UxHMEI8aVOjVTvq\nkp6h95t3VaO35/sWb5jnNlbTFYweV1AB9Asquh1q8g54vFtnoPcIQzgax6pB38GJiyuKWL+vmcr6\nLtIcVgozXRRlu1lxTjke99GVFNcsmYLdZmHbwTZy0h3ccsHRoMZmtXBr4ufKtkp2NG3nQHsV9b4G\nrDYnftungIGTbm2s20Cjv2HAsnRbOnbNTiQx8dIVszAh7OaKmZ9m1vpq7r7vDeL19eBwQDiMlpVF\nMB7nvC4zh0fYYqEwHqeQuv4P7naDw4FmGKRd9QmyfvD9fpMqhRCi2ykVWOi6ngv8GrgYaAbuUUo9\nM7K1GjkNHQHW7G6kzRuioTPI3toO6jtDxGJxXA5ztYI3sXFRltuGZtFo95lvXH/aWE1gkE/w3bcQ\nPqx4ckTyIXTvxDiYipJsNu9v7RngX1iWS4bLxovvmbdf0hxWrlgwiZuXT2fFuaVUNtdSklVAdlo6\nAA2+Bg53HmKypwSLZn56XzRDg8wqJqVPwtVnboRhGDy67WHePPwG4Xi4V1mTv4mfXvAg6fb0fvUs\nSCvEgka8zyJNSxw+YtNZ/MoW9mT5yfBF+djKehwRA/sCP50+vxlUAITN5zM6+mxydYzX2l5RQf5v\nnjSfKzt78BdSCCE4xQIL4GEgCBQCC4CXdF3frpTaNbLVGj6GYbDyvSNsOdjKBtVExyA7HgajvT/F\ndwR6nzdYUPGPctk0golbBh67hVA8TjgGHpeNy04v5tK5E1m1vZbNB8xRCw1z7wO7VSMSM3DYLESj\ncXIyHBTnuNl1pINoHLLcdgqznMwpzj7mbRCAW5dPx223ouq7mJDl4ksXzMBhs/DZs4v528EXsNtj\nnFcylTpfHQ9s+jEHOvaT58rji3Nv4oPmD3jt4CtE41EWF53Bvy29h70tu/nvLf9Nc6AJu8XBJ2Zc\nxfWzV/Q839M7/odXDq4asC4N/nr2/Ow+5l19C/ZpvWcsLG7L5vwNXWyc7SRu0UjzR8ltizBzbxdn\n1D5H9IO9nNnn8SJbt6Hl5TEkq9UMLgwDy4RC7BUVxJtbsOTnkfn/viMBhRDiuJ0ygYWu6+nA1cAc\npZQfeFvX9b8AK4B7RrRyw+jBV/byxw2H6JMQEoujnbT87djcTUT9hfibFmDPqMPh2Y8GBDunEfUX\n4c7dhRG34W+uwJ27F4stQCzqwGoLEY85sFgjxKJpxForiNm6SC/aiIUI4bYytJYpLArUM/Ois9m6\ndiu25kNM9rzLrtkFxMIRTtvXgCOzlKazFrFkykKumGumtP73mREebH6JWDzGRJ+XznQXpe2dtGQ5\nKWwL0JrtpDCWxsUzr+WZtj8RjMco9noJaTYWpS/BZp0z5OsyZ+fT0LGXKfYJ2Jfdz7sbX+Tnh3+L\n12m+UGv3vUJJ4Uz2tVcC0Bho5Mk3fkirO04sMSCxsf5dXqr6K5Vte2kONAEQiYd58+DrfHbW57Ba\nrARefplNB5+FiQNvQpXfFCTrsWdoeXE9+b97CtuUo1tVh9et45NPV3GlwxwVcYaPjjLEywYZlbHZ\ncMybS+jNv/c+rmnYZs8m3taGZrWSdu1nsJVOIVpzBNeFF+CYPXvI10wIIQZyygQWgA5ElVL7ko5t\nB84fmeqMjLf3NvYPKmxdZJf/FbvbXCLp9NThyt3ds/wQwJVTCREHmtMcSs/M24jhMkcxElsWmEMJ\nia/TQhuom56Ln1oActx7+MKrh5m7qwvb7jksr9zNz2+fyrrydMAcjdhQkgbxRgiv4vDBt8jK9HEW\n07h/43+wb5r5Rrwz8WQb44a5u1LcAIsPLdbCysr/pGN6Yhlj4rzX2l/mq0+HWHr9Nwd9TV559Jv8\n1rMD3wQ79lArO3+xgvUTuvBmHL2F0YIP7eB2SHr/DsRDxKy9A4TOQ5VEGqvAffRYrO3oHJHOB36K\n/dIwkHRdzCCnLURhc4RLXm3EHYwT278f/wt/IfOO23tOs+kzweXCGey9CRY2G+7zlxH468vEm5Mm\nXdrtpH3m02T94Pv4Hn+CWG2tOcdC07CVlJD++RvMUQpNkwmYQoiUOZUCiwyg7+5CXYBnBOoyYuy2\n/nshOHMqe4KKblZ773v/mgVwHj3WHVRA0uZKSV9rJ/kIcPQNMJBmY88sD3N3dRHv7GD9WTkcLO8/\nj4DEslBf1Mebh98kcGgd+6YkvQn3bBnd+6th1ejIcfQ7ryP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colors = sns.color_palette()\n", "plt.scatter(df.Day, df.Cases_Liberia, color=colors[0], label='Liberia')\n", "plt.scatter(df.Day, df.Cases_Guinea, color=colors[1], label='Guinea')\n", "plt.scatter(df.Day, df.Cases_SierraLeone, color=colors[2], label='Sierra Leone')\n", "plt.legend(loc='upper left')\n", "plt.xlabel('Day')\n", "plt.ylabel('# Cases')\n", "sns.despine()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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PKrMQY8xYYDLQCtgJXGWt/cIYMxR4Mrh+aXD9tpD9HgKuCS7OtNZODGlrC8wB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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = df.plot('Date', 'Cases_Liberia')\n", "df.plot('Date', 'Cases_Guinea', ax=ax)\n", "df.plot('Date', 'Cases_SierraLeone', ax=ax)\n", "ax.set_ylabel('# Cases')\n", "ax.invert_xaxis()\n", "ax.legend(['Liberia',\"Guinea\",\"Sierra Leone\"], loc=\"upper left\")\n", "ax.grid(False)\n", "sns.despine()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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JPffcA4QeEUCoL8LChQtZtmwZ559/PqNGjeLZZ5/F5/PVH/fzsSfSvXt3Zs2axdVXX83I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\nJ7ZmDfH6evIv+Aa+oB7fRKhf1cjqd6s3O+YP+pn4+fHklmy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for col in ('Cases_Liberia', 'Cases_Guinea', 'Cases_SierraLeone', 'Cases_Nigeria'):\n", " idx = np.isfinite(df[col])\n", " plt.plot(df.Day[idx], df[col][idx], label=col[6:])\n", "plt.legend(loc='upper left')\n", "plt.xlabel('Day')\n", "plt.ylabel('# Cases')\n", "plt.yscale('log')\n", "sns.despine()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because our data is full of holes and noise we want to fit a smooth function to the data. We will use the simplest smoothing function - a polynomial. \n", "\n", "> _Reminder_: a polynomial of the argument $t$ with a degree $n$ is a function of t that has this structure: $f(t) = a_0 + a_1 t + a_2 t^2 + ... + a_n t^n$. The $a_i$ are called the _coefficients of the polynomial_. A well known result in Calculus is that [any continuous function can be approximated with a finite number of polynomials](http://en.wikipedia.org/wiki/Stone%E2%80%93Weierstrass_theorem).\n", "\n", "To fit a polynomial of degree $n$ to the data one can use the method we learned in class (_curve_fit_). Another way to fit polynomials is the function [`numpy.polyfit`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.polyfit.html). This function's input is the x and y values and the degree of the polynomial. Its output is the coefficients ($a_0, a_1, ..., a_n$). From these coefficients we can then create a polynomial function (in the Python sense of function) that we can use like any other function. This is done by callin `np.poly1d` on the coefficients tuple.\n", "\n", "**c)** Fit a polynomial to the data in cases in Liberia. Use either `curev_fit` or `plotfit` or any other solution you find. \n", "\n", "Plot the data (using markers) and the polynomial fit (using a line). Note how the fit changes when you change the degree of the polynomial. The x-axis should be `Day`." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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xY4CjiFy2gEhwaboUUg1kttglC6jaTX9WtG13+2YTCRciIjHTuHQZtf96lh3Z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\n7U5zLEQkYTmOQ/lVv6fho4/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def fit_poly(df, col, deg=3): \n", " t = df.Day[np.isfinite(df[col])]\n", " y = df[col][np.isfinite(df[col])]\n", " \n", " if 0 not in t:\n", " t[len(t)] = 0\n", " y[len(y)] = 0\n", " \n", " coefs = np.polyfit(t, y, deg=deg)\n", " p = np.poly1d(coefs)\n", "\n", " plt.scatter(t, y, alpha=0.5)\n", " t = np.linspace(0, df.Day.max(), 1000)\n", " plt.plot(t, p(t), label=col[6:])\n", " plt.xlabel('Day')\n", " plt.ylabel(col)\n", " sns.despine()\n", "fit_poly(df, 'Cases_Liberia', 6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**d)** Plot the data points and polynomial fit for cases in Liberia, Guinea, Sierra Leone and Nigeria, all on the same figure. Make sure the polynomial lines have different colors and add a legend (the data points can all be in the same color)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(10, 10000)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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IwKj6DkdUkSQUQgghGoQVx78DYHzHibIg3jVIEgohhBD1Lrs4m82nNuNW0owt//Vj9+6E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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for col in ('Cases_Liberia', 'Cases_Guinea', 'Cases_SierraLeone', 'Cases_Nigeria'):\n", " fit_poly(df, col, 5)\n", "plt.legend(loc='upper left')\n", "plt.xlabel('Day')\n", "plt.ylabel('# Cases')\n", "sns.despine()\n", "plt.ylim(10,10000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2) Wright-Fisher model\n", "\n", "The Wright-Fisher model (WF) is the standard model in population genetics. It is used to model the change in allele frequencies over time due to the action of natural selection, random genetic drift, mutation and recombination.\n", "\n", "In this question we will use the WF to simulate the frequency of an allele in a single locus (one gene), bi-alleleic (two alleles) model. \n", "\n", "### Only drift (no selection, mutation or recombination)\n", "\n", "In the first simulation we will do, we will consider only the effect of [random genetic drift]() on the change in frequency of one allele (let's call it $A$). \n", "\n", "The change in the frequency from one generation to the next is described by this prcess: imagine a pot with $N$ balls. A fraction $p$ of the balls is red. We get a new pot. We draw a ball from the old pot, put a ball of the same color in the new pot, and return the drawn ball to the old pot. We do this until the new pot has $N$ balls, then we throw away the old pot, get a new pot, and start again. This game can go on until, by chance, there are no more red balls or all the balls are red.\n", "\n", "This process can be written using this equation:\n", "\n", "$$\n", "n \\sim Bin(N,p) \\\\\n", "p' = \\frac{n}{N}\n", "$$\n", "\n", "where $N$ is the population size (total number of alleles), $p$ and $p'$ are the current frequency of $A$ and its frequency in the next generation. $Bin(N,p)$ is the binomial distribution with $N$ trials and probability of success $p$ -- therefore $n$ is a random variable (random number) drawn from that binomial distribution. \n", "\n", "**a)** Write a function called `simulation(N, p0)`. \n", "The function will simulate the WF process until allele $A$ is extinct (frequency is 0) or until it fixates (frequency is 1). \n", "\n", "Input: `N` is the population size, `p0` is the initial frequency of allele $A$. \n", "\n", "Output: `p` is an `array` or a `list` of the frequencies of $A$ in every generation. \n", "\n", "The function will also plot a figure of the frequency of $A$ as a function of the number of generations." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9ZMVoTFXzIqX7YLAXng86H/hn6i3c7HdrhH/U79D4jNrD4ga9H3yY+hzYdZf4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\nT6KYlc7DX6XUaGMf2j96Gwx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2iCnSG9uuvRahr75SX5iloWumxyCKYuaeG78fkBSQiv72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\nnoqIWzSe9Zde1mXH3TJvXmZ5ww03dtlxi0HStRvOBe4EVhK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def simulation(N, p0):\n", " p = [p0]\n", " while 1 > p[-1] > 0:\n", " p.append(np.random.binomial(N,p[-1]) / N)\n", "\n", " plt.plot(p)\n", " plt.xlabel('Generations')\n", " plt.ylabel('Frequency')\n", " sns.despine()\n", " return p\n", "\n", "N = 1e4\n", "p0 = 0.5\n", "simulation(N, p0);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**b)** Next we want estimate the _fixation probability_ of allele $A$. We can do it by running a large number of simulations (how many?) and check at the end of each simulation if the allele is fixed or extinct. The number of fixations divided by the total number of simulations is a good estimate of the _fixation probability_. \n", "\n", "Run the simulation as many times as you think is neccessary. Calculate and print the estimated _fixation probability_." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fixation probability: 0.59\n" ] }, { "data": { "image/png": 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iNAzxCYN/w+p/LF8OfPGHOASnGQA5AQBAyPUxnmsjYeipvpycJUZTfHAesHOR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 1e4\n", "p0 = 0.5\n", "fixations = 0\n", "simulations = 100\n", "\n", "for _ in range(simulations): \n", " p = simulation(N,p0)\n", " fixations += (p[-1]==1) \n", " \n", "print(\"Fixation probability:\", fixations/simulations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bonus: Drift & selection (no mutation or recombination)\n", "\n", "If selection also affects the process, then the chance to draw a red ball (allele $A$) is a bit higher than the other balls. This is usually modeled by saying that the chance to draw a non-red ball is $1-s$ relative to the chance to draw a red ball. The equation is then:\n", "\n", "$$\n", "\\hat{p} = \\frac{p}{1-s+sp} \\\\\n", "n \\sim Bin(N, \\hat{p}) \\\\\n", "p' = \\frac{n}{N}\n", "$$\n", "\n", "**c)** Rewrite the simulation function to include selection (add argument, change according to equation) and run the simulations loop again to estimate the fixation probability. Note that the initial probability can be rather low and still lead to many fixations - theory shows that in a large population ($N>10000$) and weak selection ($s<0.01$) the _fixation probability_ is roughly $2s$.\n", "\n", "**Note**: This is a bonus question. You can get the full grade without doing it." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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I770Xv+yxF5G3JgDo1oCIiIcyHSNwO6l1BNZLH+O0+BJZjuu61D3wAPj9lB51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\nBv/66+UyPBERkYypR2AtxKZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def simulation(N, p0, s):\n", " p = [p0]\n", " while 1 > p[-1] > 0:\n", " p.append(np.random.binomial(N, p[-1]/(1 - s + s * p[-1])) / N)\n", "\n", " plt.plot(p)\n", " plt.xlabel('Generations')\n", " plt.ylabel('Frequency')\n", " sns.despine()\n", " return p\n", "\n", "N = 1e4\n", "p0 = 0.5\n", "s = 0.01\n", "simulation(N, p0, s);" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fixation probability: 0.82\n" ] }, { "data": { "image/png": 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CZ2xTdpfHtuBt99N0x4egkUm7QbE/IG0Uzem3IRaeS1xO0LCyZPlhNr+xvcex4kzVJOUa\n8cSPwdpgpbG0mWn3TSBnbAT21lJcnQ3s/GQf1dvzep3voDnfM2J+KYL4DoLwT37mNu6H1wcpr/Xm\noIBgTlUEB68dUkdAZy2YYuHKbxS7hI5KRcNgjArtr2ShYiNUvR58TnrFFAvONojMUPqM71lY+mei\nCgW9oAoFKj+Ho5sq2fDyd4y8agj9z+2D/NVlWOvW81bDJdwtBs8JpZv7QryJzWV9qGpJINzg5uVv\nZ2B3K+fUy+99HK8nkgtfuh2ACI+fvo5qaiaFqi9FBB4a00pWpJd7N8TT4gwuGkP0qQz4Ppu2PekY\nNDZkUcbj7e6N69BBmBcOxIexPS1Y3p9DPOv9C+urb6DRXgBASbyJqigjYT6Jyb2o+09g1WtY1Dc+\ncC3IMkl2L43hOmRBIMLjp6jFgcEvUxZrpDlczy28RaFQyR/kB7ATAbLMRaWtxLj9FOd+xMDozRjm\nptOWFsmNq0I1G5M3N3Hpx/UcLgynqEyxvN47MJJB+ztxpGipeSOD59Zeia7GyKSje6iPGUj/hsNE\nWEvojAhD55EZcXwn4a7gMc7CWXkszryZBz9/k4H1RwL3D/eJ4KXblYXu7ufKya+ws2ZSHIsvUZ4Z\n12d0cN4AJ+1+DYfbdHx+JIKjFsWoTZQFZq5vxT5jJHutB2jTGTHawpj62fkk9UkgPi+WkuWlmKKM\nJBUlUHxRf5KLQt/r6SD7fDROnIS/qhqAmFdfIeyCWQAcT+sSNDUaknftQBNtpmZPMyseWwPA2BtG\nUDglD3urg0W3fxnoc97rF2FrtpNYEM+3T6+nZsfxHsee8/w+lj1YgNsWatgWk+kgd6wbl7UKn1tH\neJyN4gv3ojN9hCBkn/F7/D/HUgNaI4Sf+ecdgtcBBz5WVPuVa2HrM1C5GoqvhvNeCbWB+DdBFQp6\nQRUKVE4HR7uTo5uqyB6VQWNpM45WB6JWZPNb32PQ2Ikz1dB/Whi5NQ91ayuHa5EXDAyowNcf7kuG\nuQ2T38/9/3st+Y0Q5vUjyvBdmhltmAv3kA+RNRJajw6/xs+n5zWg00sh/a7ZlYvjSAsFldX81v97\nUo9HM7Txh25JEBdWhbb4K75OjWf8VzNweBXVuVPvZWFRKn5BJJZ2lnAdHx94Brf/1McAlVEGLHqB\nvtYG8EZTazZyOM5EY4Q+pJ7B60EraxjUaCNF3I2YZOEu3WvsE/qzSp5Iv6GtGHP0TO5XQpstnC92\njiJ200FGRhwiKawdnduBfNsAAH7zbTwNDi1nNdWxMTEVjU/it08dIb3OxdGcMPIqT33mDdAarSeq\n04NW6l52uCCShvwi4u58DDqa8D55Ow6TQFV2GJctOs4f/9SXzqig5fpNHzTy/mUZuAxB7cfbZzfz\nmzXxePzBR6POEcevW69jyq1n0XK0lS/uX0599jHM7dGYLUEXaJ1JxyUvzsKcePpHMLIk4fh0Ifph\nQ9EVFuLZvZvm80MNWXVDBiOazbg3bAQg5qUX0c+6kD2L97Nr4b5e+x593XAGnFeEqAmGo/F5/Hxx\n7zLaaxTNU+rAZOr2N/TYftr9E4mIDyOhIB5BEJDlzcjyCsCIINyMIMT32E7ln4cqFPSCKhSonApL\nXScuq5tdn+7l2C5F7dpi0rI8L4Zotx97mI+1mjk9tpWHxtNkSOT3pbdj94XxaMwz7Oroz8c1lzPz\naO/GYHazjU3nraJgXz9yD/YBnY+r33kLfVhwAdpzOJf+i5diEJRdbqUvk5X7HkEELih8jC3H59Ji\nL2Dv2G0cz6thsL2JaRuKONiiWO3HmqopjN1MfF4jyb8B8em9lLeNYk3Vb3qdV1mske9Szfg0IueX\n1mFJMjEh4gOeFG/FLyoai4IOG5EOGa0kM7K2BrcuAtEgc+XABfgbBW41/JkDUf25bsJqbpi0pvsg\nh9uhKHjeX2fTcMfaePyy8rj5cM1q2pYmYA/TEGUNtZa3hWuIsCtn+ydcF3+MY+lGsp97neRxUwL3\nWp0trKlZw4cH3++13bi0szjUWkKbq42UcB/19u5nwKmmHAo/6ku4NYK04mSO71MW0PG/GU2/cwrp\nqLWw8LalAEy+azwFE3NPY8ZBHJ99TvsdCwDQjxqJ93ApssVC2GWX4j14CO+BAyH1I26/jajf/ZY1\nz2+kfH0lABNuG4NGp2Ht85sC9UZePZTBcwac1hwkn8Rbl34AskBSX4HkokQ8zijG3zQKQfz/Yon4\n/xZVKOgFVShQ+SEdxzvZ/v5OqnfUIvu7B+RZmxVFZbSi9h/Mfl7T3B8o88sif/Et4GtxKld1tkG7\nBp/FS3OYDpdWJMfSPebA0Wgj36WZmVPahMnX889qwKXfs+TQIKaF13BsTyZ6v40hyctIjihjb8O5\nHO0YAwgMSFjJgeZzQtpKOTu4zLiExYceQ6+xoxMdeLSRTLv7H6QlliK+V4YkC7y1+10A+ld8yD0X\n3YNGkklytfLspw9j0+vZk94fv6jBTAGtkcEzY4dW5ECCiTCvxLWb/kqsq57j0cVkNyvn0uGD7TRl\nxxC+xINHr6P9rT4MntT8o99Dp1vgmpXBmAHPD/wfYt76EscHH6AdOYK7L3Jw0ZI6xmxrx60T0Hll\nWsNiePjP6WTUuvjtM0H1/8qzE8iudhLZ6aUmI4xPL0vDZdKQH13AI+MfI0wbhiAIVHRUcNfaO3qc\nz40DO5mZu44bVl5Dq0sR6qZkOJidb+eOtaG2IsOTRnBbxoIQVfwJrnz3UsJiFDW75JdwWVyExZ6Z\netm9bRstc3oOypO0bSva9HScq76l4557kVpbEYxG4rdtZ8eSIxz4h+JNMmnBOAonK9/jgWWH2fLm\ndibcOoaiswtOex6y3MLxvTewb+lExt10PVEpagC4/xRUoaAXVKFA5QSyJLP62Q1UbK7usXzovEEs\nPdDAqq5jfFGAmyJWcK3jRfbK/dglF7Ox+SIOxkeS3ulmemXvBn4OrUiYT0Kj85F3VikRb+zm/V8J\n2IxpjF41qcc2l1z+IaWr49jfdG4PpRIawYdf1vdQpjD1vmXITh9rXj2fWW9+SJKhDfFZxYK/qmMw\n31QoPuKbE62UpuQD8MflzzKo7hCbcoYzvnIHG/MnsbboQoY0OhBRduQrc6NpM2oJ80m8/Mnt6P29\n+7sbzzUQ83o0AK7Vbtp/1fUZGSDipnDM9wXV5zcvi6fJr+zAX1gSgfbbzYHY6re/MBC/Vrn63ZOl\nZNYqLoULnhuIV99VS5aZsrqF451ns7FgOOFJOwlP3B3o36Q1EWeMo9ZWC8Azk57n9xt/h6crWFRh\njIdHhlp5YlU6+wQnU1dM5bJ7jrPQtpdvawyIyPxlQiv50T4u/2gqLnMJxaZ5PHLOfARBYOs7O9j/\n5cHAeEXTCxgxfwimqNB4Bz+F+uLBSK2Kp4XxnOm4Vn4DgBAZSeqhkkA9WZZxfb0CTVoqNZ2RrHlW\nOUbIHp3J9N9NOqMxZVkGLAhCdNd1ObI0TxlXuBtBvOJnviuVfya/hFDwrwhzrKLyf4YsyfjcPnZ+\nupejG6uIyYiidk99SJ3i2f0ZdFF/dEYtn+6oZdUhRQV8zVm5XDbQSNzrygL9DLcwd/oear4MZ9aR\nVhIcysK4PjOS3HYXGSdZ3lsioDC9lnP+sBR9mKL+X3b2BVQf3k4+FUzP201JxByGXf4dCfmNvH2J\nsnOtXBdGnOkH0dsCiN0EguyonVRZhqGNcKJPtpMz+ij4JMTqZ3jpxTncE/c28YDLFx4QCJYUxtJm\nCu7OB9SXUpqYy/jKHQCEn9XEMY2XnOQdiHYzn4dPCNQtajgUIhBEDLYiuUUch7o8DASCAsE3Ljru\n7gzW7Wvlq5J4Fn2ZzCxtO+3r/TSNUx4xE9c1c+dsuMoaw5ht7bRH6wICwXnLGsisdeHTiDz4cFFA\nIPB7w7DWTuLb/DCKU5uRD5qw1Y3D7zWRllaHlSqcPmdAIAC4d91dgdfRBplfF3diCPfx0IWVWDwi\nhomf47IauTqzg/5xBooTPERoBS58/j6ardGcO2g+D81QQjPv+fwA+788iD5cz/mPTscQrsecdGYu\nmwCeAyW4V6/G39qG/Z130I8eTdjFcwICQfL+fWhileMW3/E6NEmhBnOCIGCaeW6XR4EiEAy5dCCD\nLup/RvOQ5TZkaXpXp/eCMCcgEIARhJ6P0FT+u1CFApX/SNw2N0t++zXWRhuSL2h1Zm8NGqtd+tcL\niEqNDDG0WndIcRl74IL+nDsoFd2mBwJl82dt5+W/X8xl5aG+9r+6cQmZcU1QGkPllnxislpoET0M\nGNjAJ1UGVtdEMyrFTaVlMyJa7pvmJHqqQGa4ctZ86VdJmGatZMJX57CzPvjgFfDSf+IOOnebaHLk\n4vIF1bZFyV8zOukLDgl5pOm2cL3nMQASSwYyzbCJ3ONHeULzOHRt0u/seIWhXXkL2kxBY7oIlx2N\nLNGnqQKAzuRYZulXMUNey13SI6SVN3CL5W8sGnI+xXWHuGXjewA4h+rIyqtFF+tDliFioA3JKaKf\nHhHIjuB+4Ti6MC0+rUhrhJGStHgWnZsGwFe+GOhK63Ddu9WsPyuOCRtaGLNNUdm/dJty9l6wS8t5\nXyvfyW8emYEuKmgZ/9TE8ew7eogZxXvw4MaTuJqKDj0+pG6JUC7tM5el5Z/h8fsI00rcOtjC2NTg\nMY8gQLRBAoMTU7TidnZk1yT+dGA0Hn/w8zpvsDJ/p8XF9veVuBSFk/OIz/1peRT8be20zr8SqSX4\nP+XZuhXP1q0ARP7utwGBAECbFoxTcWz3cbxOH7ljs7C12IMuhgIMv2IwZ7pJlOVFJ71+BuRnAteC\n+CmC8PO1Hyr/+ahCgcp/JM1HWrEc7+yxLCzGxPx3Lgl5aMqyzNpDjew/1kG/tCguHJYO5Sthw9O0\nyVHMlD6BpTCzPjTgTcawSqb0O4Akw4etDpb270DqMpgz10hYPcrOcVW1cp48KN5NYpifEwlIH9gU\ni08WsMZasEZbMHcEfaQltIyJ/ztCvpUay0BWHL0HAOuI5SyLs3F//dIuJ//gfP742TwEYzVncxSA\nOjmRN6SrMdmNgJMVucouPlM6RnxtO1d+/1mgbU18Gn+feQGXywa+9w8i9rCFq7vKp5YFjdQA8oZV\n0RVbB0EAXYyPfYlDKZoFB5r0DPjkIFqzhGOcj1sG9hy0Jv2Yk7FbW9E7ZdxGDfMWKgv++1dm0Jhs\npGB7ODcsUhbea++5lbCoTQjeeD67+AYEYTPI71MUD4vKwvn74RO751C3g6mZUczvdzWxhk6u6FNL\nT+xbOpQj64q44M+L0JkUrU59SSo7Vg1BjBEZ09iJNkrPkNkDGdbl61+1rabrzcOwecU99vtjuDdv\noeWy3uPqiwkJhP/q2h7LLHWdfP3wagAm3j424C0AMPNP005LIJBlF8gfg9AHWXoVONRV0g8IHokI\n4psIQtqP9qfy34EqFKj8R7L84W8BKL6wH7YWO1kjM6jZUUtYjIlR1wzr9tD8rryF33+qnL3Hmw3I\nkgXh78qxwZfRF6BpkZla2UFyV2z3i1/4iI7aaBLyG7EchLuOJdDuDg1CY/WEZh7Xi1AUHgUou+HV\nNSYOt+mIcspYTAIlI3YzZONoDC5lR3bk2s9xlDgJBzpcSr4vd3IF9soJbHdlYRDdfCLeRIrQxGp5\nPBvlMayQp9DfcwgPWl5qu4nF0bNItHuY2dqOUytw+fa3eXbqLcywruGcbzYG5vb5oHM5++lfk3xE\nx3b9bNKeeZhLSlf0+NkmX1kfEAhOUGMIZ92kfjz9TQudHhGyx0N297bZdT7mDb2exCvuxeiRcL3/\nGndbXuGV2xXXOas+jKnftDJ9VRPJjcpOfl9RPGE5ilBy/9hyBO4MJFjv9Aj8/XBonAYRmSv72pid\nb0cQGoA/IPeQ3NHRHs7CW6/G59ZR1i+BZ5/+EwAZQifT99sY4bczor7L/bPVie25TTA+h4qt1Wz/\nYDcIcPnrczBEdM9WeCrc27djefAh/A1BV7+Yl17EMHky3v37MEyYAF4vgr5325FtXVoKgPV/DeaF\nOPehqaQP6h71UparQC5DlheDMAxBmIgsvQFsCE1WL8xCEG5Gls4HBATxQwThXx+ER+XfB1UoUPmP\nY+enwYQhMl1qAAAgAElEQVQpxbP7B6zAT+UOdqA2GLQnyqRDbr4uYGXbVD+Kaw4Hk9CkDaomJqOV\nmIxWNtQaeb48OaSvcV9PZv+MtXR2ddC870YkSQ8IvF5eyarGL2lv6ofDFkmkppmJO4vZn3WYyv5l\nfHvZl+QeKMIZ08Jr+74C4NuYdCp2KQZeOwpbKbWMQUBiq2ZWYMypwiamCpu4Ul5EqtDILnkgkQet\nMBaG1dsQgaTmtazucxZaPExoVNTTSwaew5jKHXQOG8i1CxVvgbnOUsaWKgvNyW5/kSMsRAyxIQgg\nySAjUGEy82XBFA5qfbTUtQE/kBZ+QFWqluR+w0jeuoU/ljxFpe0toixBG4XISCfmJpnqjGCAnIMD\nlUVXJ8oMSXSF9Le+9g/AWwD8aewjDEkaiiQ9BvISIAWZdAS+DzYQvgP5HOxtIkvum4PPrWPmw9N4\n57OgP/9xvxmv5Ozx4ffmnA8Cr3PHZp1RzAEAz969tFwUGv8/7r2/YZg6BUEQ0Ezs0qr0IhDIsszu\nRfup+q6mx/KkPgkn1ZVA/haZtSCvOqmTXcjym90bC3MUY0LBCOK7QDqCENO9nsp/NapQoPIfRdW2\nGnZ+rAgFI68eGhAIfowjDcop9LwxWVw19hjSZ6tZLU3ku+b5JB0PfUAPm/cdAD4Jnt8VHbh/48BO\nvO9Op7kpgae/P8C7RRksb7geSVJ2/oLWQXTuMtpcGjrasrl4SwRGbw5+oF/zYOaNbcOhO0DF2TO4\nbtVzSLLAk/LtVLl11BTGUdDupNRyPgCj2dHj+8gXqgCIq2jjk+FzuW6vch5fF65lb3QfsluO8eCK\nFwP1Z+9fiQys9aTCiSPjg4o724a8UUxu3Iwx20F4Xye6WGXxllG8Mt5MKeIf8TmAB34k+d7lfebz\ncelHADyy5WEGJQyirFM54khuVBb65TMSybtRT/tf7Lx/dSZpbhPxhxvYN1Cxpfh4ZiMazY0IxABu\nECaz8fhzADw3+QXyohVvCkG4HpkIBOEqlu7oRCv+mfMG76asIYM+KZ8jSRaWPXgzzg4DE24bgyk3\nDgSBIVkxHKrrxGzUMvuF8/nHgn8A0GdqPklFCWx4eWvIeyqcmn/qN/0DZEmi+cKLQu4Zpk7FOG3q\nafex7b2d7FuiqPYn3zmevLOycVndVG6pJqVfEvow5X9Vlu3I0hTg9BI5AQjCrQG7AUEYeNrtVP67\nUIUClf8IPA7lYP2bJ9YB0PecwtMKzvLpd9Xsq+lgw+EmYsL13DmjCOm7K9lSU8Qfpd/yq+NBDUFC\nfgMXPLnwRNBCdjUF1cYPVNSSJKaxqiSTVPNBBKODpRX/EyifxdesigwmsPF0ZvNZoZb5Jc2Y9c1M\nzn6dHTsGct7025jy5XUAVJHGl/K5YAVM8L1JUZOPZTvPaZSoikcc4ynfUIzNFE36mNXE6xr5Qj6P\n2vAU+rUEjSrPjl3E/nAzs1at7fYZOHUGbt34N16ceAOJthYu261oKPoNOkhyQjBWv2VrJPIfkzH2\nNfLMCgNkzoTG4C7crJeweQRkBCUe/0lnDCcEAoA2VytrjwWDGiU1KMcEjUlG/lEfA1crGRS1CUnc\nP+ddrlp+Bf1iTWg1D/HczsOIgo27ht+DX/JTbakCID0i6GosCCnUd9yM0+Oj5Lidf+y+hMe/vISC\n5Dr+duNTPPf6PKIalO9us1/izWfWATA0O5YXrx4OgF4rct3C+ch+CV2XYWbOmCz2f3kQn8dPeKyJ\njCE9J6fqDfvb74BXOX6Kfe1VXOvWEfmHXjO+d8Nt81CyvFR5j6JAztgsRI1IWLSJ/jODiXdkWUaW\nfmjHEY0gPg10gFyNTDkCE0AoBHkj4EMQfhDzX0WlB1ShQOXfHleni4W3LcXVGbQmH3b5oFO2uea1\nrZTWhxoijimIR5b3w9FyHnF8RHyX650n2svNr72OqB2ILI1F0Ciq9Y17lcXi7G/bGVFwhLffvRsA\njcbFhVJQzbxWmM0luheJylSC3HTun4cs6ZmhW85Zg1bSV1MGwPmucvjyi0C7PVJo5rwTPK57ImBP\n97TlDoQhB9kbP4qxRw18lzMcSRTRxMnMPagcB4Tp2hkctZ6+GwWcdA+gE+Z1M7J6D7dteIfRVcpZ\ntVunp4gjIfUiLpIRRirq8l+dC7esCQoESWE+brUepq4BXksbQDejg1NQWG4DoDYt1Lp9SOIQIvQR\nLL7wC0REjnYcZUPt6wBMSJ+IV/LikTycnTUdgzbY1i/JXPfGVjocoWmrjzSkUt6YzMGDeYzBSmWU\ngbVbqgLlk/olotcG563Vazg54ZIhQs/wK3r+Tk4H57LlACR8uRT9sKGYZp1/Ru23vb8Tv8fPkEsH\nMuTS4q759cR3gVeCsACIAGF20I5G+EEAGiH7jOah8t+NKhSo/Fvj9/p5/+qFIffGXDecsOjejw3q\n2h0hAoFRp2HaAB3JUbt47PNaUpb/iUvsrYHy6deuRqObgyDfC3smIA8Dxxo3Zcdi0MWBru5GtrjX\nBer/b8K0wOsFwuvspx++1JLAj2l6CexLb+eBqL+e8r3tzR8F5crrSUUHWHd4ACPM+zE5FHX7g9L9\n7Es0A6MAiHJ2IonKotan1YnRL5Mdv5npmW8i+6GjPNSC3K/XovEE9f5jugQC0eQn67JqRIOELArI\nF+cgVFoRzlES7uxt1vPCLmVXGWPw8/rZzdTZtES/2sBAn4f3k/vg0OjoCdEvc9271RzsZ2bL2DiQ\nZfLL7VjjtdxysYMHt5ow68xcV3wDZ6Ur8RE0grL4fVMVNHx8ZOufAq9n5oYurkcbrSECQWpMKxcP\n38ZfV83kzbXTyOpUPr+9SUpshcy4MOaMyKAg+ZeL1Cc7nXi+V4Qo3cDTCy98MkfWV3D4myNEJpsZ\nNm9QiBttYAzZhiw9ACjHHIKwAEG86mfNW0Xlh6hCgcq/LT63j8/vWdbtfvbozFO221WlWP/nJUYQ\nE6HnwQsL8fkv5uKX7gOSuc7eGFI/pd9xnF9k0rEgh8Tt8fiaBebbsiARzA4TgixyqEWJq28yWGkN\nUwIDjT9mISPKxQLzY8QbPmB4ZyO3Vh+hLMrMA1GfhozxinQN44XtxNFGmtCIXyNyf9Xj2LmPkWNq\n6ft9A7Mu2saYlUsAWCMOozy3FMrHgmzgvP2rWDbwbAD+sOIF6lMuB0C/x0HroRjc9cGjDt88meUJ\n93HBX0/yQw8TMP82AvtbdjRaF+5mA2EZTqQZGVAYjVyo2E58VRHGOweCi+dlfWy4fQJfbRW4w+dh\nRWxGN4HApDXh7Eo5O+/TWobusTB0j4W8o3Y6onVEWn1oJxpJcMo8N+EZ4sKTiDZ2N3A70n4Evagn\nIzKTox2KtKQRNORGBw1I/ZLMo0tC8wE8f8V7lDYoqv69Bwq41NaKKSOK264YwpiCBGLCe7fy/7n4\n6+ppmXc5vqOK/YRh6tRTehX0xp7PDiCIApPvGt+LQNCMLP0gCqZw2U+as4rKqVCFApV/W/Z8doCO\nLq+Bcx+aSnhMGIhCrxbhsiyzdGctT36lGGo9ckkxuYkisjSR11afjUaSGdpg69YuPM5O/YKPQCPj\nWuaipEJ7YnNOfFU6An7kLjWzRq/EMUi2eShoc7HMfw3mlKN8VPkZkX5l9zo6/dNuY9wivsdHEXO5\n9KztuM19WLywmPks4inNo3Ai7X1XiP3v5KH83vsYZucaDJG1uC15AYEAIOKkIEfR9lpc9cEjA+Pw\nPG41XsH8L4LHFKvf+4wrJ98CgGGSHtkRja6/DqmsAwqDhpQAX5UEhQutKCO4/LzxiY9NUYm05Iyk\nwhi6204wJdDsVI4xIqw+xm4Nxnk4EagIIPJqE4J4I3lxRfSEV/JSY60mJyqHx896ksu+VCz4bxx0\nc0i9V74tCxiNfrHgKZKiLEAuZtOlACR2uZQOml5A8eBf3vfe8fnnAYEAIOqB355xH5Jfor2mg6Q+\nCSHeBScjSwtCrgXxGQThzFwlVVROB1UoUPm3pbE0mHAnfVDqj2ZsO1TXGRAIAHISIpBlxXp9y1ej\nmNPYgtmjHNbnDTmAwxtF5vBK2m/tQBvtJWluE74jGv5epITii6tPZNzBKC4ovh27N5oDzWdzIEZZ\nFIub7OzK8lNZvJ3R7CLyeOj5tqwREPwy1rw4mirM5MlVXBH9D+ShfdhdnY1RcvTo3SfJAndKjwNg\nrZ3Srfze1e9xJOM8AIYc/YSEzvKQcp2xmiff/zM6SbFK33DJSK6MuzNQrs056SffJRA02DUkh/tZ\nUWWiUzKAAGe31nAkJ5nk9RX0iRnG7MkvcE9XCOHJmVNYW6MYErZaGxFEgUs+q8Ns9SH2EC9AjBMw\ndDTBwHO6la07tpYvyj6jqrMKgKzIbAwaA0tmf0WlpZKcqJxAXZ9fYukOJafFrdO+7hIIQBDfI9Zs\n4ruHYfmLm6g91klyn8RuY/1fIDkcOL/6B6bzz8PyyGM4PvxQKRAEoh55GF3fvmfUn6vTxabXtgEQ\nkxndYx3Jfxug2KUI4t8QhDM/nlBROV1UoUDl3xJZlmkqbcYUY2L+Wxf/qEDQaHHyxJfBJDJ3TPcg\nCC3I0kpeWDGTCcdCjQ4HzDtAQr7ieWB5t4OkucoOd2dqHNWxiiZi2NqxDEl7G4PWgUHrYELme7xl\nfweAeKebXWNXYNLbSWtRhBeP38iS0geJK7YwZcR7sLWRt22TmDbFiW9XI9paO77V9Qz6bi/DxO6u\nZF5Zy2+kv3S7X+QqY8r2zUT4jLTEzwAg0lFPatv+bnUFTws6Kbi4zE3/BxT37n5ms2Vy+1o3GlHG\n7RdBgH72Nvaa42mx6ChoayPihoXUupVdv1ln5s5hdxOrj2bbmg+pzQyjeJ+FyetbuvUd824UeGT0\nG0sRd0pwXmiyMofXwfM7ng251ydGCaQjCELIsQHAg4tWYXPD1P77mD92EzAcQbwEQQjal7hrOxG1\nInE5P9//vmX+lbjXrcd47gwi77kbXd++WF94EdvLr9Bx9z3BihoNaTVVP2mM797dScWWakwxJob3\nYDwry80EDQsnqQKByi+OKhSo/Nvgtrk5tLKMPlPzcds8eF0+Mkek93jGCiDLdYAeQYjnvo93B9TK\nz8//klF525AlsFp0rF8zgvMIqrJnXvE2CflKJDvXMgcxw9pYE53GW6n9sJ90Xp6irSMneieg7OC3\nScMpM6ag9Us0JFnQ6O0MsjZzc72indCKHoaNXEVmzmGErY3IOpFxA7T0HdXA2g0jmcZ6dN+FJms6\n3DKBLdoJJJt2sVw7ngP0A2Bi5UbW55wFwOMfPgXA/sxgMKP+1V+F9KPtF07cBwacX5lhpxX8EDPX\nDnd3CQTNTqizw6B4AIRXSpDTz2FT8fX45Ffx+U8SuuKLaHI20d/WimyI5MJlcwnXKUZ7cwoVtf6c\nXVqE7e0szgyj38EfZiKAmLeKME5th53NiOESnP96tzo1naGZLG8ovolJmd21IwCH69pZ2xWld2Ru\nOYK4HEEI1Qb4vX5aK9uIy45Bo+vNcv/0kL1e3OvWA+D6egWur1eQUl6G49NQo1dtYSGJK5b/tDFk\nmZpdSujnC5+Y0Uvq5eDRhCA++pPGUVE5E1ShQOXfhlV/WU/d/ga2f7CbuGxlp5c5vOdU2LLsQpYu\nAOJoti2lrF5ZmFKjDQzO2nmiEhtfjSS3IxglrzhxOSkX2ui8qZ7woW70HVG0ypG8mBG6S7ts6RDm\n9P0TAFZ3DB+XPM93qWZIgHCvxPeFDsKAuU1B9b2QaSI3/RDCVsWQ0X1FP4alH+H9TRNY7cpnmmZ9\nyBjHrUU8HTeTEmkQgexBXczdtoxrNn+G0KWO92jDqIsbhCj5mLbnzxjNbnQThqPpPwzHe2+QsELR\nboRfp0Nqk/j00MVce1vQSFPY1gQWD3JeFMLmBoR2Nw1zH2XD4Q/4IQedigalSW9iQZbyudi9ihBl\n99hxNzdiff4FjsxWxjzr4TcxPP5X3Gu6YiQYDBint0OjA2HFMbi7DsKTuo3zfYNirX/XsHuYlDm5\nW/kJ6jucXPv69sD1+UMe7iYQ+Dx+avfUIfkkEgrie+3rdJBlGcsfH+o+j/zCkGv9iBEkLPn8J4/T\nWW/FZXGROy6LyGRzt3Llf/wNAATh0RCNiIrKL4UqFKj8W1CxpZq6/cFY8a1V7QiiQPbIjF5anFiM\nW/m+YiGQxJ0z+jB3dB2y1OWG1+5mn6cvee0uBMHPvIH3E35lNI73BaKzGqAVyo1+7u8zPqTntKNZ\nnD+tHeba4ckottfNRQZqI/VoJJkkmxtb3DFkWaLQoRxL2JJj+ab/pcw6/Inyo8o2o0/XU1Kbzmtr\nlLP0i/zvco/4KgetI5nERlzhLrL3NhEesZNd2YPwCVoivRYeXfoMSbZQdXxnWAo+rYn05p2kzKzF\ncPsH0P9SfMfr8B18N1BPlmTqLskn865daLOCP29pTydOrQ7tSwf5e1IBfc0iT24OZohMi0ijT2xf\n1tR8G7jXrO++c118ZBF7lr/Lb6ytlPRLJrHJTeoFQ2kqU2Ie6MeMIfKBecCfocaGcO7/QkRyt36c\nPieLy5Rd9+CkIb18xwp3fxiM7vjwxWY0mtD+ZFnmncuCwZN+akbDE1j+9DD29xVhKf6LzxCjo2ma\nHIxKGPng/2AYNxZtVlZvXZySHX/fg8vmJi5LEXxTB3T/fABk6TpO2BIg9PY7UFH5v0UVClT+5Xid\nXr59an23+5PuGBeINtedoACxt6YGSGJQxl7ctiOcWMuEva00OnOIl2Ty47YQ/lAWjvtr0VosyJnw\nYVIhixODoWwj26JJrk4n+1A+5vdXIe9+HUH2IcsiGzIi6TTJpKYuoTU2C62+nSSnHx1+/FEm7nI8\nxf5laTzFbADGCKWcc2APB48HNR0jS3Ws1C5gc2YU7+gUY0F+cNz/2oe/w+D3sn7MbKKzljPoEzcg\nIA/Sgwvyh+/EEOeBz+ZCQj/EpChiP1AWF8vDVvS/iSIq2sWwS1o48fNuGNQE9nhS/5jLYlc9SxNy\nWfoDI/cwbXiIQHCC2FY3bXGhVu7lBRHc84wy8fj8gQg+H/7aWvRjxpCweCGytBBZBqHJSe3Qwby6\n8XfMzp/DiJSRgT62128LvI7S9x5pb2dlG5XNSuTGa8aXcU7x7d3qOC2h+RKyR/30BdS5ciX2t94G\nIPy6X2EYqcw5afNGGscpxzlhF89Bk9Czl8CP4ff62bVwX8i9lAHdtSiyXEZAIAB6zD6lovILoAoF\nKv9yWiqCbmxzX5nN7sX7cbQ5yB7d+8Ndln4HgNunZXXJQML0bvKSHkcrdoUClGTkgx0IlgTAR0ps\nOfZryjEXdkIUHNeHhwgEABPWjwW7idlPfQK+RoQVSv75Jv1IjsaaMJjL8cfXoo1XUvSmtiq2Djtq\nJ1OuTw75NW0t78PW8mD2udmlrZg1LTQYU3D0ct6d11yJocut0e7NZ+JiRSAQTX7cUTHggkhDMCwz\nxzZDdG0gKJ/rCye+BckkR3fAfGUyvhY9crtMwpwWcMeH2EyczJGOspDrhbMW803VSt7aH0ysc/v/\nHmXXkGg2j4sL3BvZGYejy/1Rk6rECpD9q0CQwTOA5a37OdBygDpbHe+mvB9o1+hQjliKYvv2mAZY\nlmU2HG7it5/sAWBMfik3T+052mDNjmDK5Om/n4wx0thjvR/DW1pK23U3BK6jHgyGsdZmZ5N6rBok\nCUH70x+bJ/+vnyA6PVQokmUJWT6h+UhHEF9FEM4sMZOKyk9FFQpU/uWceKhPvnM8UamRTLpj3Cnr\ny3LQk2D53nexu2uY2n9fUCAAOGajo91IghUkQSZ6Uynmc4Pt7i0IHePcVZO5/t13gjdqld2nX9JS\n5oaYgkXow7u0EzKkVmYy2KNY/1s9aXjCCU1RexIZnW5iXT4gmsb4ngPbpFgaWLDurcD14LZvwKcs\nlqLJT6dbOUM33/4GUuO1CBvrwV0G3nWgAWl5LQsmPcaruvdD+i1ZCRF32vhbdAHXNJTQkv7jiXCm\nZE7FoDUyaUUtywUndakm7nv6CDnVDvqU2mieMpgaXzPX5M5j0Dl30dHVTpOagiy5QdoFrU6EiPGB\nIERtrjbaXe3EGGNotDfw0UFFPX/70Dt6nMPaQ42BVNcAD8z6AkG4uVu9+pJGNvyvEuFvyj1nneK4\nqTuy00nnCy+iSUlB169vSHZD/aiR3YIQCaII4umHd+6JLW99H3KdMyYzRChS8hpcAxzqGvMzBOHn\nGU2qqJwJqlCg8i/F4/Cw9wvFlTDutM+ClYh2H2y+hldXKylmz+t/FUfW76FgYldCmU0NVJCL2e2H\nMDfJ5waPG/wIOETlX1/0i5z15XSy8lvB6kHY5Idpb8I30wFodmRTnWoNCgRAxNFBDNnchxmD3gcN\npPz6GP5PNFw+eiNXjttAszWKa9+4LVB/qGkToLiStZi0RLqtvPPBXcgI7C8opDbqSvQ+J4eyr4Vj\nX2Ptn0XRxqB3QXg/O1Z3AhqdgDHlQ0iNR/ZJMGIdAIu2j+b5HbMgFt5fNp4Fl32jNNzRxBp/PBvy\nFQFoS1QyTrH3n/yUzKlcP/BGIvTKrrRm13qaZhhIq3WSU62o8NNKD/N0uOKJULLiw5D2kQvugD33\nwiABjtk4njKU0orFgfJrv76Ku4bfE+KGmBLRc9Kh/TUdgdfZ8U0kRF7RY7CeTa8rxxDhcWHk/Eik\ny5Ox/PkJbC+/0mOZfvhwYp59pseyn4PH4aG1UtEU9J/Zh9isGPLOyv5BrRJOCASQrwoEKv90fp7Y\nq6LyM6k7EAw5HJ12erHpZXkfsgyvrg5agzv21LP+pXNorx0ONi9ClZUt3okY/TJmXR3+rhQxcmoy\n6x2KpbvOrefsTy4kojOSUd43EA9ejXB+CUJnFEK9sggezx5Na/Gm4DjNxWiqh5MVtROjRqnT6Fes\n3RMjO4nyWknztfGwI2jVP1y/HVd4J5vTzdgMWnKbqhEAEZmoRx8GQcSn0TNt718ovKySyR9tx/z7\niEBWGyE1nA5/LlFp0QiCIvTQJxiL4K11wVwMFXtzkVvHs+/7cYgra9kQHVx023VGXJqgUJBgSmDh\nrMXEGmMZlTKa24beERAIANbFt+DTiUytVKzeE75ehtglEHj8HmqefyJQ13znAgSTCdmvhGVsqpB4\n01aOjMyvB92CTlSOLU4WCG4qvjmQ9+CHHGlQclP87aav+PCW2SBc362OtclGe00HCQVxXPHmxWfk\nhtibQACQsPQLtDk5vZb/VKq2HUPySQy+eADjbhpF33MKA6mQTyDLiseIINyEIP7t/3wOKio/hqop\nUPmXUrFZ8VUfeEG/XuMRnIwsyyAvp8MRPIe9IDOGo4v2E5nUQUz6DuRNnRyQ++AoH4kRH5v7tbGw\n4Fw+GHOM7eU5/DVO8U4o3NMfrU/H5HmfE1tWD3FdNgAtStwBr6Tl7dKzECYtBaCo3cW5DWtIDPuW\nfomKRbytKI92u7KQ+pY4ILwEs+hDaB4KXcbp8XIrTrON0jjFAvKcQ+uwGsJ4Ys7v+dv4sST4krG+\noRwdRPza2PU3HDFexPmFi45LV/H/2DvvwKiq9H8/905J772TAAm9o3QURLEg9gauu6679rJ2V7Hr\nqmtZu65l7awFxbKigAoiSK8CYYD03ieTmWTaPb8/zmRuhiQYRFG/v3n+unPvuWUmkznvecvn9Tyy\nnvRhJkD2GCBaTiaLNhxNZEsrtlA5ceck1WN44SlGAS2Gg2vwZ0VlE2IM5ZXZr6Gg+N3YbouFmhkz\nWf3QUIxemHTvS3w4/wNKm17nXs8DaB9/TuO/HmdEkQzHPHVlHhPmxrNl1XmkheRyob2Vm6OmYq3b\nAsCo5NG8ePxLXPzFH/33To/M4MS8k3v9G++rbSU9toX8tKGoak/leoIPb/gMgJSCpB8Vt+qKt0nX\nrIj488W4t27DW1uLsX8eMXfd2efrHApCCL59VoY5ssf2LL8shBvEUiAelItRlODPc5AjT/BbF+RX\no2xTJftXFRMeF8aEP47t41mrgSrKGk8H4LwJaaT/7yuMme2cdtc70GFCXVXG/1pv98XxoTpXGh4r\nW+J4uV7vGhjdGMcli55CWVwsd2QcBdVb4INzAXhr4IcUNu8gCuhoHsgD5c9gVLzQJecr/MQIalfK\nHUMjN2BUPDg94ZRZR3GGpZopBc/xJTP4NkqGDy5c/wFHlW3l0vMeInPIQBRFYeAxeVTNl6544dYT\nE8LODGNN8ZmUPCJr9NOH6zkHnby04jiuGRXFF+0RbCxt5cK2J/wehrJQOZkOtjehJA5hV3tNwLmd\nQkRqlzbIru3bWX7z+Xzy9wLsEUYmNyWwoWY9S0u/BOCJ22fwh7fKA1yMewdGULhT1utvI5IvKiMB\nXdAoNSIVRVG4b8oDLPjudgCuH3dDwH278p2lnhaHyoisGhTl+B7HFC7di9PmAmDUGYem8tfZqyDy\n0r8Sc+eCQzr3p1Kzqw7NI3Ne4rJ7UVsUHwJWUC4MGgRBfjWC37wgvxr7VxUjNMGM66f2eaUnNDn5\n7KiYBjgYmPAxJ973PurTP8DzoM3KxOM10GAdRBwe6tKr0YxSUnh7rZ6VnmXJ46Q5Ppngyna4sQ7C\nE+HxNP+YdbWhhGfI7Pf26jHSIOj6LGEGCDdSVCHL0zKRaoXbak9EEyaEwUMR2SwWJ4GvTHJAfTGf\nDJtFQ2Qix6RIY8K90yfPbAI1QcVT5MGYZ6SpJJGStXqFROpQqX53/8c3khW/geU7R9DaHk72uKE8\nE1aG+z8ncWfu0YRp/TijvojFidIFPsTexKKIQIMgOTyF/PgCDsT68MO8eKnuOj/39Dv5rPRzQjq8\n3P4PC4mNroDxD980EK+x58l9RNIIxqSM83sghieO0D//qO7xf6H9D6/2ITe9I7v/ZcU34He3HMCW\nD+Tfzhhi7EUJsHfc22QCozF/4CGddzjsXip1HEzhJkIiu3twZMXBPwFQlGA75CC/HkGjIMivRkul\nFSVbhFAAACAASURBVNWokjqkb81rhLAB39LiGM6b38nJafSAFSjfVPnHqMsq2CKGk9IqcBs0Ns5Y\nTbjqpV0zsL5Jft37O/vx6I3bQLSD0wsRIyE8EWebiw3lFxAft5vnh6VQHfUvDIDRnspIex0cUOkm\nJqWwpzqd76pHEEcLSUjBoUqblCquym7kI/EX/3hFaPRvKOGlSfMAOHqAzEVo/1jG4Y05BhSjgmu9\nG+vNrVRdpJfgZY8rwhzmxtZxEp9viwP0FXRibBi8fBwfJvVnV4RM1twUpX+mZq17n4Vrx15HiKF7\n4l6DCOwimR2Xh2PJD0xc3xRgEDx9RS4FAydy0+yreGDtAmrt9YSbBG1uaSCMTh7D3ZPvDbiWoij8\nefhfaO5oItTYvWxQiMfYVqonm04fvKtbKZ7QBIqqEJEYTlu9nbOenHPgZQ6Kp6QE6113g9FIyNRp\nh3TuT0UIQfUPNYTGhHLha2f3Mmqvf0tRDk98KUiQwyFoFAT5VRBC0FLZSkxaVJ9yCeQ5MkltReFx\n2Do8zEwIJbW1EuWHJoRZhSgTSqOTrx0nEuPyUpnWgjBoxIfn0NjRSLtHxuNNphrADh4NbG6UfrLJ\nUMm6Mt4uiKaqv/QWzGwqpzA8jvLyIdwquiemibxYnvlcqhUepWxGUaDDE0G9oz+G0BbWmUYEjI9w\ntrM3KZeKuHTyU6OYWpCMcDppe+55AIyD5b+j2dCKq8nBzkUTAZh950dkjiwH4P3l0wFPwHUTVt+E\n3evk3QN0FzpZFds9w39YYvfSROF2U+ypBaSxcmr/uTxy8yTmv1MRMO6d8zIZPPdiLhr2RwCen3IK\nmvkhlGUVPB9/BTWakzsn3d3js5w6YK5+P9GB0O4AVqCoT+Ly2LnyDdl6+LHzX2dY1vFdxgo+vP4z\nGoubSR+eSu3uelIKknqUB+4NT3ExtVOkIRD554sxZvRc+fBz0tZgZ+k/VmBvdDDwmLwDyg8dCO1q\nFGUmwmdQKsrffvFnChLkYASNgiC/Cu3N7bgdbmJG9K5m1w0huxFWNBUAjcTu3A8jZOxazD0LS5iN\nts/qKCsfy3DaqRm4hxjVTEVb4KRWqPoU8EwqpQ0KrsR84h31PNr6EHX9pZs9o6ONayqli/p56ygy\nYor851s9KUTdksqWmgFsKpMT8QLlcbztKu/ul22P3R2xRHXYuPXLp7l97t8BOH37EhqTVP56QiIX\njJNeAE+Rft3wP8iVu6m5kdBpIbTtMJFSkETmqBkgNqOof6Doy62QNIQHPn2IB8+6nUEp4YRsf4Wv\n47PxKippTjvVIbJCINUURY3bRkVoFGkR6VTbdY9KT7h37qQsVhocl428nBe2Pc/f1utJeUpkJOpV\nfyF6gomzC87p8oE+jzISlDYvV86+A3rJFTgQIV4EVsht7VpKGvTQzah+f0dV9VyBml11NBbLZ+mU\nw04Z1HdVQa2tzW8QqImJRF3bsz7Cz0nNrlo++fuX/tcjTx/q3xaiDqGd5NvW9RhQDq31cpAgPzdB\noyDIr8I3/5JlfodShgjr2FuTyjtrZLnaxJivUL+VcXxv1A7++NLjABzna/PblFKLW3P3eL2zP0vh\n5FwHH+9PBRYxPzSCOp90slHzMqlVj8FfHvMUAG6vmc3rT2TYFXsh1MBVb0j1u8mso317GHZvFE5k\nqWBNpJkp+9ezJ1Vfvc/d/gWfzEnlT0cNIdRowFNZSctddwOghCuYx4VCQwdKfQeFI5bCjiIMZgOq\nqkv71ocUoQiNYVNGs/y2mYjlt0Il7PCFDe4q2cD30Sn8EJeNO3EENQ1SUvfpmc/y91W3YmnewzMz\nn+/xM3F8uJjyTFnF8IFF6gsYPTLxsX1IHhk33EbY7NkcKCEkEhsBI8z6vM8GgTxxq3/z3bWT2OmT\nhL5qVj4RoYElgYXL93IgmaP6ttIXmkbzVfpnGH3731FjDsEY/Qns/tLCqufX+l+nDkkmPqdLgqFY\n0cuZI3rZHyTIkSGoUxDkV6Fyu5x004f33AymG0KK1LyxWrbWjTUoTIlcKA8JKLTrk0iy3Y0jwo4r\n3IXoRWbQoyl8vD/C//qtXVIJ0OuK4r7C3cyvtXQ7p96RRx7rCDspMB5+jvoJilHjhZzrAGg3KCzN\njWWAspeaaBnbf2LRnbIoICOdMKOceFsfeBDX6jUApBYmoxgUaOqgafTFaB4ZSx92yiD9mUtKqMNM\nrKOVpAfu4Zvyrzm9bSclIVEURsQR43ESM+gsTpzxKLNGXkpdu/Ss3DXpHkwGE23uNmJDYsmK7q76\np1mt2F95hcp0+WxtTTXM/qKWfrUahn45DFi2krDZswP/JGITmnccZBihVkGJHd/jZ30gQqxFaEvA\nl5hpqUnjyaUns3yn7MiYEhv4+Tqa2yn6roTo1ChGnaWHPaLT+hY66PjiSzqW6X0dwuee2qfzfiq7\nlwYaBBP+OJZT7j8a0cUQEMjkUkV90r9PUT8IVh0E+dUJfgODHHE0ry5H3OfVHrJs8Kud0gV7Sm0d\n+PrILIs/mzvfuRgAo1cj1Cuoi9UljfvXKwz6/GzcJhfDHnmdx7f2vEr0OKMx7j6RIYZ3ezxebcsn\nflw5CUCtNQoFjVTqOFrZzP8GH0dR/QA80U62pESiqQov5F9Muk267OMcVgAuPvNBNLsd9+5COlZ9\nDUDCh/oKUimxET/xRja9Io0me5iJd78vZe2eWoYWb6E2uh8D6opRo6J4cvkTAHwWn0OjKYyR7W20\nnfwIT29+ku31uku6M9Pf5rIRE9LLey8uxqtCS5wUGZrzvxqOXSHj3FpLS7fxQtgQ7lf9fRcU62Do\nw59SiFaEpqs9ujzj+Nvb5wJ6EmNCZGACZPnmSrxujSEnFjBi7hBS8hOp3lVHVErf+gF46+v92ynr\n16KEdE+w/DlZ9ZxuEMy6ZTq5E3PQvOcixH5QX0RRxoL4BggDJqKoK4BKFKXfL/pcQYL0haBREOSI\n01wuJ8j8mf37NF4ID4iNeDW9EU9CcxmuZBNrIibygktqFiiKl4K4JcB4PEY9GS+0Q04Cx122goHZ\n7QxNdvLGtmhW1gauSKMbE5js2ih/q3vAk9RKQooDiODmd/+AQGWysp6XtXm8LOYzQG1nea4+wbuN\nZkrj+gEQ6bQDYAgJo/yiCzB+vxmAkGPMmMeZ6WgNpak0kYyoidQ2JlD8/Xric2K55INtCF9y2ve+\nTnn7knPRhNb54bAsUU76bcLDX768uNtzx4XG0eHpwOZqJTMys9txgIrP3uNvT43kgnfKSal1ogjd\nwxJx7rkBY6U+/2lgsOo761KgT+HwsoBXz311As32wDLHglQ9pNTR2sHKp6U3JblAJkDmHJVFzqH0\nOLDK50x4+02MGT0LB/1cdNic/u15r55FRHw4QmjAft/D1CP4HnAAeSiKihS+6F4eGiTIr0HQKAhy\nxKn+Qa6CUwf1rRQR9tHusnHJKzcDkGZz4g1rZ5r2iV8jR0EjcegrZK2TnoRcdyMLjr6br5deg237\n0TQAOUfLH+b4XbWcruTgWjIBZ6iT6OYYarIryd2Vz7kjbujxCTo8EawpHM6wkbVsLMqjuE4+ewLN\nvC7ORdUErSE9y+zO2r2yU0+IumnT/f90SoxC/BvSiPjuhRmUrBvAmHNHsPnRJQAMP30o4pt93a53\n9tHZfF3qc4d3yWYvCuvZC6AJjXM/PQuA0tZSFnx3OxmRGQxJGMq0rOkALPJspF+JmylrArv4Jb73\nLuYxow+4Yi2gGwTKwr0oEx7o8d7d6JJHUNqQyHvrdI2Btfec0G349o93+bdjMw49D8Db1ETrw48A\nYEjq6/ftp1O5TYZExp0/igi/foLe2VKIO/yNs3oTZgoS5NckaBQEOaIIIdj5+R4Ug0LGiLQfPwFA\n7GD5zhEU18sf2RSni88y8wKGROcsRTU60TQ5MZ963VUYPjqZmQ17ea3pT0QlGzCHucF9DkoULLs1\nla7V4P13yth9nEHPtn+g/TZG1NpJCynFO8WGUuWlNDWTa97SdfgNeBEeMxftrOP14cnEedowGiv5\nw1df89jMy0lzWbh09Zt0RUNFNWjE/ktOch22ECo2yhX85ne3+8c107Og0/UnDuK0xTfJZIquJW49\ntCAGuGr55f5th8fO9vptbK/fxpLiz+kfO4CMqAwUh4ObXyrtdm7I5EndL9g1Sa7EhjLmFRjQfULv\nCSHkql9Rbmf5zmzwleI9eM7IbmPr9jawdZFsfjX7jhmERh2627/pUv29G3L7HfL5h0ptoQxVBFRG\niOU9D1bm9rw/SJBfkWCiYZAjSt2eBqxVrfSf3K9PMeE6awcrdu/hH5+e4d934RkfUtIlgG0MqyMk\nVq6oI2xRCEUQHSegcQ82ZyIeLYTUITInQTGPwJ6gu9DHZyziPyOS+bx/HGaDdPG3CJnAllKYR719\nOCOeqGL8eS1c8+JatqAn/nUytW077UYVTVXIUMp44eV/Mql4E2+9fiXHNLyLAsT+40HeuzCN1rAU\nvhx7J3snn0zozBA6bCG89cdL8Xi7i/mUNshV+40TkrlzyeMktjVyz7EZWF2+VbrPCLig1kKqLzzR\nE7WO2l6PbanbzItvXs3enO4Tbvxr/+m2T4hChPB1EHQoKIuKIb9vAkJC1ADrgTwU9XQ2FHtQFFh6\n6wxmDO2ecFq1Xa66cydmkz2u57DHj6HVyVW6mpSEGn5oyoeHSsnaMn74bDcGU6AglxA7ejmjF7nj\nIEF+RYJGQZAjyv7vSgAYMO3Hu9B9ub2KUx9fyW3v6Vnt2e1VPLbjFP/rv0z+D/H576IoAgREtsRg\nSFIwNMhEuy01csKKzZDiP4IGKrZJbYDNaWGkJq1DKAo1kWaakmVCXRhO7N5oNGEirl8DH20ZT1Fd\nMkLAwrVTALiNp7jGtohIYSOtKpE2s/RQ2M26Wz3EoDLeKmPFj7uWEJrnoDU7E001YWmfRIctlMai\n7i5tVRVMuWQsWz9fBsCgagsjK3fxTlY9OcMNLNqjtyM+rqkcNwo1IRHEhsR2u9aP8dL2F/k8shhb\ntKnbsdCZM7qfIL73byrfNqKEZoGxbyt4IV73nTiK4vo2tpe1MDonjuiw7vcGsDdJsanRZ3cXWurT\n/TwevA31qImJpG7Z9JOu0VesVa0sfWgFAENOLDigY+NeIAqUMwPOCVYaBPktEjQKghwxhBCUbijH\nFG4iY2TPoQMhhOyECHy0YUO342Vh6VQ1y4TDB9UHWGKzoihwcfkesvblYnKbSHTsoezle6m192d/\n8wQAcif5YvPia/avkpvXx93DU/V3ARDm8jI85lsAQhQXVdahuFWFh0NH8cQXc5j/wrU88cUpNNii\nSfa0ULvtXNqKptBSOR6T20R5gtRDSGuu9D/rC+PPwVu4G2+Iie0RzVzwUQVtGfqKuPqHDArv019P\n3P0i/WrXcOymh8hq2cbO2CxCXR1E33kTAPaUGG759iY+2b/Yf87VlTsoDZOJeRm9JBH2xI3jbw54\nneCTMN4/ZyzJ33xF8tfLUdTuPw8CX86B9zzYVKJ3ljwIQjgQwgpCikhp4q+8sUp6bs46unsPhE5q\nd9ehqAqRSX2rMhBC4PphJ8IrZZ07lnyBaLFiHjM6QEnw50aI7yjb9E//6zHnPIsQjQjtVTTtAaAG\nyEJRdI+Koi7ufqEgQX4DBE3VIEeM5tIWbLVt5E7MPmAlJdE0wTVvfIcm9vHE/AmYjOVA701rRhg2\n41aPIXtPHrVrz/HLvtS1FfBFmz5ZxWW7iE6VK3ghttOw/2jcoW4yDRWUqdI4KTBZmGXU1edancks\nyw1ceX+wQcoOTyzSewl4Gvrz6YA46iNkk5v8SjnxVby5mK9X1HHFqtdpiAtl9DYru6umsz9Ej9F/\n9ajeOnjyrueItVcS3yaz8xcsLaYudxzDK3dhEIKKjFBqzbrBAVBgl/kPF894nHEeO5/uky2e8+MK\nsDTv6fVzA/A6OwJeJzXIrPmkwaMx5ef3eI5sWy21IZSaXJnxkNjz2IDztPl0rTp4e3UrS7bJUs2p\n+T0n/7XVt9FQ1ER4fFifcwnsr72O9Y4FRPz5YqKuvIKmy2Q+gSGtj7krPwEhmhDadVTtkH/L4//+\nCaawEoR2E6Dnh6CkA4NBmYPCRBTlp4VDggT5pQl6CoIcEYQQfHjj/wDIGtNzWVhVcxsbix1sLkln\n+v1lNLbpK8QHy5/gy9hreeeKJ4g22HhWvZlEzQHA8LXj/OPcJle368ZlF/u3O1rDcLaFQUgbDncc\ndrMBhOBOw8MB56zIm0xNl2524YqM2Q/R9pHQrpc71oUb/QYBwKQtlXSEh7NdRHPmVvl+rZFhpFd3\nsD1Xuo+T2wq7PWNku4x9G664ioVj57I2V76nmLRk3j4/kwdvK+BVX5Ke/14+1cW0jEmkR6ZT3iZD\nJGWtesJgXoyekDktczrXj7sRgOe2PRtwraR6+bmlFIzp9mw6eiUAFt+zDDi5x5FCuBHaawixlQPL\nEN9eUwLAmH5xmHrpsLjsEem1cfhCCD+G22LBeodsg2x/5VVqxujfiehbb+nTNX4SviTCxqIkQqLa\nyRpT4juw/YBxLhTFgKrehaIGqw6C/HYJGgVBjgjlmyr9/eT7TejZZdxgC5TfLa6X6kTnT1hFwZc7\nEfMjqGyzspRzGKvsYHNkIreNDCyhM7m7t6WNiPd1/lMuo6n03wCEhjRS5+hHS6gRo6aRrujJeA8V\nPcP7bXoc+/2rH+WGmoeZ27CEk5oDk8a2JeuGi9njJLbdyo7EgXy4qYKp+6QK4+KRszh6nS63fHTk\nB5zxxFv+19njM4m//Rbinn2a14efwgejdTfztX+dyerJMlwiDIEu8EivvKZbaNyz5i7//g6v7gUo\nsuq9FaLsGhPTJxFjjsF5QBvopHrpKYgaOJReEZ3G1Ykoa6RwElkTexm8ASGeQWiXBOzdU3M6re3y\nuR85/8BSR52OVvke+qxauHRZj/vDTpuLGt03Ke1DRdPuRYhHqC1Mpa0hmqQBRnqLUijqOT0fCBLk\nN0bQKAhyRCjdIN3qcx86sUd3sKY9T01L4ApaCPn1nLytieQL63lhfxw7v+nS2vfsPAba+gWco6qB\nHQQBdn3ZOcEfT/EamUyoRjZwfdTVdBhVYnw19wKo8GSyOEcXVbrppMV0tHrI2VzLtZ4XMTSloqle\nlsxbRGVuOeUxIUS6vIxJ+ifvvHYlbZEqjxx3BZ7GRjKtNWxLH8zm+Gl0GOTEPmLOelIWRROf3cSM\nlJc5+7JsZt8+g6jLLiX8tNOo6yJ+c/m3r7Hd1T2vopMYjwuGnsv3VWt67PHQKafcyZTLXkBs3s7l\no68EwOz0Mv/NUhCCAfvtaAoYs3p3awvfil+p8BVzRqaBuXu8X4iNIPYH7FOUG1HU71i8UZcYjgzt\nOcEQwORLPjz9nyf1OqYr7h9k6WLy0i8D9sf964k+nX+oCO1dELLl9dYPZSLs6LOPR1H/jV9qE4BY\nFPVNFGXCL/IcQYL83ASNgiC/ON8+u4bdX8peAgl5PfeK93i/4u6PpHLedbP1ygSTClkLF2EcGsKO\nBjOXVUnN+KcyhhNtMrJzp1yp2saVo6ouNK17mozXZUTTYthWFknNnjrcqsK/I0+lxSh7H+QbZBKi\nAqxWx/rPu/K4z9n6ZCzhU/eR0OzCmKpQ78jDEdvMf/Z+yaxoGR4YYtvI7f/YgwKsKDgaTTXw5Ad3\nAlCUnMGouh3Yj5Zu/KRBuuRu5M4yoscM8b92uB3QZQU/9aK5VLb13NnwourdjGqrx547k8X7PvTv\nz43RP7srR+tNgJ6+ZhsxNg9tzz3HOFsCC+4vZMGKWM5843sW1IwnqcFFc0Eairm7p8WPkO+XMl94\nYtY/uw8RKxDaZQjxZOABZTBezczHm6tACO4bnRGg/qd5NbZ99AMN+xsRQtBaYyM+J5aQyB/PJxDt\n7bR/+hkAxiGDiXv+OUKOPYaU1atQTL0bHj8VIVwIId+7ozmc8k25hMWEkjYkC0UZg6Le5B+rqMtQ\ngp0Pg/yOCBoFQX5RWmtsFC7TVfmM5p5V/74t1FeomT5BG4CjnBuJnO7Gfd5AOroshtfEpPL1ZX+l\n8D0pAOR170fT5ITWf0pXj4MgJ3orm98IZfjrKUQ7luEwqn6hn1uUp7hf/Yd/9G5fYuPxw7eytyKD\ni9a8D0Ds1GZe2/YCAAMM+4j1uGhR5Cp5SLGe1JeSPhCEIKZDSi2WjWpm3lGrqYsbjGr0kja0AtoM\nNP25BTVyCIZkmWhndVq5+qsr2VQrS/6So0PIvejcgB4GXZlpb8EkBMscVexv0VflkSbpbp+cMZUJ\n6ROZnDGFS4ZegsGnityxdBmuTZtJq3HSf+oc1MhI+q2VYYGBjzzX7T5CdCCEhtCWIpUMgT2+ssTc\nmT2M/+GAPXlAFEIM4d210tMwoLmD4tc288ltX/hHFX9fyrrXN/PVY6tot3bg6fAQndq30EH70qUA\nKKGhKIpC+KlzSHzrTYz9+vXp/ENFaLpmxud3yyZYYXFdvTJHAeNQlGt/0aqHIEF+CYLVB0F+UT7y\nJRcCTLx4XI9jhBCs99Xr33zKEMp2fw70YwBFPBByH+brB1LWZiTGLVeW1aYwzutv7yIeC9Hbp/m3\np121nBGnb2L74rHYtyic0P8phCESEoycMP59ajdmc/74QnJCmzjl26X8IAYxSpEeiBViMgAnj9zM\na58fS1jnPTV9tTcp4XMA/pM4BurBHieT9FrDQnGeehah35YA4DYq7BnnYfTJDWyfn0BcdiNhK/bg\nyViIc9nFRFykx9Q31W6kzmajw9of0Hj4ojTWV6+j3BaYpBfhdWM3mKhSIBKFN2u/B1U3tHb4WiVP\nyZiCSTVx81G3Un/mWXRNv2y5SZYjGjJlwqencA9qSjJhYwP/PkI0ILTAzogAStUGSBoKkSndjkGg\niJKivgEIVuxu4pkvC5lYaWNwo0webKmw4rK7MEeYaamQDaysVa1+VcfIpAj6QttLrwAQ+8jDPzLy\n8BHCC74W28J7HS0VMpw17jxdkVFRwlEML/zizxIkyC9B0FMQ5BfF2Sano9kLZjL81CG9jHLQbJcr\nrZkpVixFcuX7kHo/If1DIS6EDyzh3F8kE/dSI8I4LltfgbVn7Ub15R+kDq1AURez/OFT2L9qEHGh\nlQiTirgwH3H5UMQJWVx4+3tcffwSTp22DkOSiVGqNAjmeZ+jg1D+NvtTxuftJ3yXXrXwQ7ucHLXs\nbSSGl/GfpBE0C6lIN7TcitNg4i/nPU5WXhovnCZDBRvHxnLLuBtY+cwsvC4jsZlNUBmDt9WA3RSG\nlqxPqo0OK/U//AWEEUX1UNy6jzVVq7t9UlObK0EIsjtsVIVE4PEZBGfln81JeXolwJgUGQbR2tpw\nrV3X46duSE9HuFx4q6ow5vYkJrW32x7lHd++5v3djgEgNutj1XdQlFAUJYzSBjuTy1v9BkEnTWUt\neJweNv1X94jsWiI9L8aQvq1ZOlULw07tm7Li4eFrtkEeTrsuRpQ2rCcDKUiQ3x9BoyDIz46juR1n\nmzPAS5A15mB9dZuxOsIxKBpR/xlJrUhGQSO2xorIi0ITUFrkJd3lwI2CGJtGR6s0IlpjWwjN/8Z/\npfRhFdRZVGx1MYAgJqQWBvTeSEdp0DP1i5FVEWeOX8eCR+ZxSoms+185P4oap5Q3HpsgE9nWMhiv\nW4YPMqqqWDp4Omdt+4L+Z82Ct2VymyEunvw7H2T/t/Lc1NrNKMZodq7azB8ueprL2vPZXysnmcom\nfYVtji7lxW3Ps6Jcf1+dfJHYj0R3BxGah9JQPcnv0/2fsL56vXzGlHGEGqVssmvdev+YuKcC4/yG\n9HSab7wZhMCY3VNFyAHSybUOlGLfpOjp6DZaiDJkN8D+KOo3KIquYRBqUslv1s8x+MJIn9z2BR9c\n92kP94ZRZwzrcX9XNIcDb2UlIZMn/yL5A93xtZFWhvHD/2SYKrF/Qp9yH4IE+T0QNAqC/KwIIXjr\nT+/z+vx3qd/XCEDmqLSDxla9WhNljYkkqc0oCMpJJ76jBW9EAhydQq3DQIJbTihGBES66bBKHfua\nnEriuiw+I+LbsNXKFfax/V5kRMqXiNEJ3e4JgFNP6ntK+zMacqJauGIao/63kvwf5KS4Ol8Xv0ky\nV7Cq7A+k7B6NszWHZFs9ER4XHw8/gbM3f4JoaiJqkSyPq4wLY3+LTKyMi6xhSPhSmHIrN3iksFJZ\nh8K859bwyNrH+HhTjf8e0VlfHfQznt4iRYwsYbq4ktPrpKFdJjGOTJKubM1mo+O77wBIePMNws88\nA2Oe9GKoCQmoERG0L1oEgCGrh1bEQk+KpCEa5X9dQhnnLOphvKyUUJTzUJTAfIAnl+h5HgOm53LS\nXcf5X7dWS0OjqydpxNwhmCMOkvTow/7SywAYBw740bE/B0I7y7cVg7VKhjzShv7y3ReDBDlSHLGc\ngvz8/HjgFWAWsjXabRaLZWEvYxcAfwWigC3AlRaLZVdPY4P8tnDZu4sHJRck9TBSZ/HGOlockZwR\nuo5KVxoNJDC5aT0hl8gVfrHVSIJbxm7FlFR2lk3i+1eOkfcLdTKwOoTOwr3w+AIKl24H+jMwfq3s\nUpveS2y6VE5GH2on8Y6QP/Z/OWYZG0pyuKn4ff+wLJ/RYcjYRqLXwRZHP1SbCnEmTti9Epei8vLC\nmzCNNuEpdCPaoTK+APO+8+l0irsGNrF/+qv0H3IOQgSujD9coq+IL53Zn8WN3csLuzLNWo1XNXLM\nKa+R627jX5sfDzg+JXMqrq1bqT9Zd6ebRklDQYmRn6kxfyCaXfcEqHHdm/MIpFGgqK+gLLkWqh1w\n9HUwfB6kj+1hvK8qoYuHQNMEd3+4g0SHLBUNiQll2pWTcDsCvyez75hB9rhMYjOj2beymFFnHbzf\ngfB4sD39DLZHHwPAkPnLKwQK0TX04aF4jXy/w+f0FhYLEuT3x5H0FDwLdADJwDzg+fz8/G7/m8NV\nwgAAIABJREFUTfn5+acClwFTgXjge+DNA8cF+W1iq2sLeJ02NOVH3cCrLXJy/oO6kK1CiucMrrJg\nSFfArZG4uoyLauRKU+RF+w0CAMI62FIy3/+yrX4gpRv6ExfpkwSOD4GQniselI9kzsBKMYlj++3m\nzUuf4rxRa1lfUoDqa3rvjIfkrVKauCVMsK5sHhbvAH5IScDkcTNjz3dEOe2YJ5tJ/DiemMfkpNsQ\nFyjPvC0zjfnfpDHx7qU4jSEkehw9PtP8SXk97r+oupD+DiuqEGQ7HRjSxpGXfhTDkgInT7NqJiEs\nkZa/3+7fZ0hPxxAvPRb+fgaahrdMX/mHn9ZTG19fKqdIhPofIH4AnPB4N4PA4fRQ37oGRKdQkt7P\nYVeVlaU7qolySaNg/PkjMZoNhMWGcdZTumZB+nB5zuDj85nzwAk/Km3seGeh3yCAXlo8/+zo3hyv\ne6p/OzwurKfBQYL8LjkiRkF+fn4EcAawwGKxOCwWy2rgY+DCHoYPBb6zWCwlFotFA94Ggqb474TV\nL64PeH3C7cceNGFMiBaK6p0kRllJvjGF5bFS+a2gqgg1yQC7mhlkqSTap97X4gmUSB7lNeAR+gSy\n7SNplMSE+Ca0VBlmePWr6QBsLe3Hv7+Zyc1vnU+ROwu3amIzw8nJqqF/Si1h0R2YNbmKjT+ukdXz\nIvA0+CZ4WwKPx5zJR4OSqIhLZ0iNhWhnG2qaSsJCudIOOyWUtUfF4RoQOFHUugPd6VNyY/jsxmMC\n9g3ODMFkVMmL6R+w36x5mNtQzDn1+7hv1NWowgsxMgegtLUEgAiTzC946YRXEJqGu1AvkzR0yReI\nuf9elNhYoq69BsdHsilP9ILbe/QUyEk+BCxrob0JYvp1HwNc8vLXzHnMhtOzEenc06/13R7pbQh3\ny5rIrhNofHYsJ9w+g+NumtbnpMJO2l551b+dumE95hEjDjL650K2ckY5G2erNF6zx2Wi9iLVHCTI\n75EjFT7IBzwWi2Vfl33bgGN6GPsVcHl+fv5AoAS4CFjySz9gkMPHZXdRu6eeqJRIzn56LgaT+qN1\n2k1t31FrjWNkVglljQmsbc7CqHgYeY8NxWTG+UMLXafXygo9fpsyOZHmtXpZ36DjoWP3HtoYCsnS\ns1CcM4R+tLOxfCDv/3MyHW4TTo8ZBY371RqqDKm43WaSo6Wq4cKVk/jnpnsACMl0Mt9p4aXO92ft\nR2OqnsyW0yR7DUQvCJzwv7sihePflp6G/pMKGXP+ehYvvCxgzIARA0g8YDVsVuU7LbIGZvbPbSjB\ngOC1nKN5/oML5M6kIVTaKrnve/ms7R4HA2IHEhsah7eqGpxdhIFaWhAeD4rRiHnECNJ3Sqnmlltu\nA5OJ8DMDW/qCr/kR5UA2SoMUniK6u4teiFKK6uR7PeHhO3j90u/JTVERQrCnupU3v5PeGN0oCA84\nP2f8obv9PeXlePbJn5L4F1/AkP7LNTwKQEijQGEY7VafDHNq3zo4Bgnye+FImbiRQOsB+2zIZUUA\nFotlPfA6sAdwAGcC1//SDxjk8Gmtlav0rLEZGM2GHzUIhHDy55dkXLuiOZ7znpV/5qjwDiJPlklm\n+1v1SVgMjGHldpmfMPTSRCbMHY/L1+sgc3Qx1kqFkvKhgMZxoUsRGRH0GyPjwJaaNKztETg9JgrY\nx/eGkwlVXFS5ZSlZemwTO7YMwLGyibzaMlAEilng0eTEHRlSyd74wAkt1yAnXnVwYELcYzOaaVNS\nUfEw/bplxKS38PRFxwWe20M74HmTcyluKeq2/4x6ue/mCQtQOmT2u73gVB5er4suaUIjPVJWeHQm\nFwIQFoansJDaY2YEXFMIgbe2FtPQIRiSesr5sAHtQCrUbJW7xl/ZbZTTredeuLwm7vt4MkII/vHJ\nTv744lq8mmBkhJlhDTJc8nNMoi233ArIZMmwU3puyPRLIITv81bS/GGyvrZ1DhLk98KRMgragAO7\nksSgF/36yc/PvwqYCWQCIcC9wNf5+fnBwN1vmLZ6O3tXyMkrOqVvSnRCW0CNVWbQtzj0ZMCHzpHN\ngjbVmomxd9ChGHgldRBiRjrNtfJr1LE7go9v1h1IUy9fTvVO4XuloioCMSbRf9zhCmXm4G08rt7J\n6wZd/jdJSPXE/LRqmjemcYl4B1dNCEqohqLAsqKrANgSnseupHAQwn/uURu+xDTCSEh/Fbem4uFZ\n32cRSXNzGumjK1ANPo9BSiyfVX3IuZsWMzXJwMjsWBxuB1lDPyU8aQsLrx1JZmob131zjf/6Z9Xt\n49F9qwnXPNyaN4EcIVfbIm0sF3x/hz90MCBWhjc6jQLX+i5liE/IuLu3uBhPufRseBsaaDjtDHC5\nem0rLLRrfVvJsMs38UfpY4XYyIZ9Z3PBs4HhnF2VBh74eCefbNbbPB/j1PzbIX1sg3wwhMsX3nnx\n+R8Z+fMhhNblVRrbPpLaFkFPQZD/axyp8IEFMObn5w/oEkIYCRyoiQowG1hosVg6Rd9fz8/P/xcw\nGNjcw/ggvzKaV+Odv+glalEpff2h3ENa7GiqW+Lxanoy4LDMctpXOHnQmsJ7LgcloVFkHpdAWwzQ\nKo2H/d/q7YGjoupxvNJKVvRWyltHcWL/R2Wa4AhZivjiN8cC8Mf8JQy0bAx4glA6GJ5ZSmy4g0Ul\nmYwvkd4Ac4KLjVWnU2GTiXyNvgY9f1n9FpWxaUQ57YR6XMQ+K+/x4LoYttbfx3PpNloaZWJl9tgS\nALaWjGNMf/Du2cO5jY2kXfkcbe425v/vfDBBVEYJiZFX8vhGfZI7qaGEC2stXD1wKoPtzYwbfTmG\nj2QKjiN3BtjkpGRQDDR1yNLPpAYXlRl6aWH0gjsIO+EErKmpaDU12J58ivCzzqThzLP9Y0ImdG/U\nI4Qb8HWDtOmTO1HpCCF4d20pwzPv4+o3r+h2LsBnW+Q5b18xif4pUXz12LfYgAHT8w5b9lcIgWeP\nBUNWFiETe+vQ+Etg9W+1W2Oo3yuNyYyRRyh0ESTIEeKIGAUWi8Wen5//IXBvfn7+JcAYYA7Q03/1\nduCc/Pz8d5Gli/N8z7mvh7FBfgN0egg6if4Ro0AIQYf7cTRvHe2uEKLDHLS2y8l4RoKNxjmNmGNa\nSTw9CZPQUBPMzMppZ01VHpHWKAQCBX1y6R++lhT3DmZPL8KZl0rI90UwQvcSvLlaZopnusq7Pcu6\ntmOZvs/Gu7edSEH0JpyVciUbdVQrOypl33trfBM2s/RoDKrdy+zClTBuPO/NP4trc1bR1G5kW72Z\nufVFZOzYy94IWQqYOqSSO/57LjHRJzE6x4OntBTTiBEoisK9a+72P0N+XIE0ELow3lbHlQOnUREa\nydyJd3CcrR4aZWy/skvlwhsnvc1Vyy8HIOuWpwOuETF/HorZTOK7C6mbfiyOhf/FsfC/AWNMg3tq\n1qNrCii1vtDIMfdg7/Dw2Oe7+XxbFRBoEMyb1I/WDjef+jwEA1Oj6O/zGDUWN2MKNXLMNYdfIdBy\n081oTU2EHlGDAEAaXihnU2eR22PPH4npIJ0egwT5PXIkex9cAbyKrHNqAC6zWCy78/Pzs4GdwGCL\nxVIB3A88hTQOwpBaq2daLJYDcxKC/EbY/nGghERUL41svi2sY2dFCxdOWc4Fz2ZS13o3ANkJ9X6j\n4DZzI63bPUSc0E66U+YbOKxT+e/l06mdUEZk64FRKIgyy0oDcWYu5igzIjoLRkmj4JWVx6JpIUzI\n2EnYUt14eVb7E+wfhskWx/54E7fk3E9kjYPGqgSI9/K+8SLcWhhaUjE7xxbTXJqPIjRymqUDq+WK\n68mJexuAN3dHcFxTBRfXFCKEgmWVzIRXl1bydfUI/jDFhP2118HjwZAoPQuWZr06oOt2J6708VSE\nSMMnIyoTilb4jxU27YEwM49MfxRL8x6anc0k1TuJLNXFhiL+9EfUSGmcGfsHVjN0EnbG6ZiPGt9t\nv9DekBvaXHj3LrmdNZl315b6DILuXDkrn2aHy28UDM2QpZnN5S20VFjJHJ2Oaji8aKUQwm/UhM0+\n4bCudehIz4BCAo1FTQAkD0w82AlBgvwuOWJGgcViaQZO72F/GV0SDi0WiwO45Eg9V5DD46vHvqW5\nTCa/jT1vJCFRIZjDuq+e7E4PNy/cAsD2MoW6Vl2NL76xmjKSeOi8UZRd+yaxQFlSBOkuaRR8v1LW\ns0d80l3QxqzaEJ1f4yjfqnaU/mO9aINcUc5qXurfd7r3NRpEHPNszQCMsNUQr1hp7wgh7aIaasrT\n0MxyArPF2IiwRdJhUEhpbfD7J+wp8Zw2XEomFVVG8nSllCSuaNWrZ62P2+F8iFc9WO+6G5CaAV5N\nV1LMjyvoZhTMaK5gUUgEnaV9UaZI+E4muXmj0lli8JIdlY1X83LPGjlpJ9U7A64Rc+cC/7aiKETf\ncTut9z8AQNzzzxF24uzeZYGbt0McKE8/pPtjQmLYXNoUMCwv2cpfZ0wnPsKMqirEhesJl1G+70Dl\ndlnbnzc5p+d7HQId//vcvx0255TDvt4hITo7dyZirZbrk5iM7gZqkCC/d4IFtkEOi/2rSvzbY88b\nybCTB/U4bkNRo397S2mgQE8zsYQYFMbbyonduRKAzSmpTLDW/vgDKCqDEr+lw9M9ZPHvb47zJzAm\nd+g9FatJweRRUYHd8WF0mBU2RSRjCJHJZKlZ1UxzbwKgKdpFXE0KHlUh3tHsv0ZInMW/PcglNRSq\nbINYsv8mANIbt3L1HDkJZ9aW+MdG33Qj5TYZxjCqRsb6GhelGvTKhuKoVCzh0iBQFZWU0pX+Y2f0\nG0WVOYyEsEQ+2vqWf39ig0y+C5kxg7SdO1DMgRUREeed698OP3VOzwaBEIiaryFO/q2UNl3Bb0cD\nbPStkOeODeWiKd9w/1lVHDM4hRHZvmdVFf55wWimFiTxx6nyb9yp+pc25PAbBjVf9zf/9pHpc9AV\nn1GgJNBabUM1qkQm9q2LY5AgvyeCRkGQn4zm1TOyz3yi95Xb1tJmbv3v1l6POwgnMToU679k9n7o\nwA7CQtyMtDd2G9se7gAEo47+AoC0yEJUxUuhdVrXwgDcHgOvrTrW/9rj8yY8rl0KQGyHXK0Xx5qY\nmP8Ez6UPwpSoywu3ueRE1xzhwtAWC4pCvN1XDhim4vJKo+CDHVmMCJdqfHsadZU7m1pDQ6QMFWQ0\nVgAQecXlqLGxbK2T+bIXD7+EhYXvAHC9Md5/bnr2MQAoKORE98O0Q7rMFybr+v7F1mLW23b4X8/4\nWoYOEv7zCmqs7oXpRImNJfLKK4j/94vdjvnZ9hrs9KlDWrt4HlQTS0rkJFyQFs2tp+zl0hnLyU0e\n3e0SUwuS+ecFY4gINdJY3ET1zlrCYkKJST/8VXXn+0pY+M5hX+tQEb6cAiESaKmwEpUccdjhkCBB\nfosEv9VBfhJNZS28fKZcqfabkE1CbnyP46pb2rnsVb1EbuKAQFf5QPbTSjTRYUbEyuUARExrId0l\ns721tAhQdeOjcPR2olOaST+hjWNyXuKE/k8jVOg3pxJFAUps4PRy+wd64l4Be5mobKRNhPOekHK+\ng+sdCODGZY8S/apgdlE1Shc15AaHbCXcEdGB0i7j452egq9mJlPaKt/TytJ4BpvlceFztmfWb2JH\nmh7Hj/xervTDz5DRs2KrFPRZV7XWP8bZKg2HU3KOJ8wU7rueYEjCUDyNhbQaTPw3RfYUyKhoZ0yV\nvlJ+/PodJDe4MI0aiWLsOSKoKAoxf7+NsJNP6vE4ADsWIhJkd0XlY191x/D5cIcTk29lfv1JgxB0\nViT06/1a4G+HHJfd3Ug5FITHQ/unn+Gtribk2GMInTb1x0/6uRGrEBp8cM1uXA43CXm9NNkKEuR3\nTtAoCPKTWPaQ3tbXYOr5a1Rn7eD0J74N2De1YLd/e6byLTcoz+PETLQiXeqmRBdN4SFEeV14hUrb\nyaNBUzGlGdk6aR2DtowgJtNKu0UhP0F2QxSn5BB9rJzR/1t4LOc9fCVby2VWvQEPrxtk7X8laYBC\nvqucpHYPbWaV3KZSFI/CrFV1dKXYLssKDQ1ZbB0pZYLDXR3sHBzFkllpxBmk69gqWohxSTd7qUsa\nAsNKP2Zzlp7/4FopPwNDTg7fV63xt0TeVi+9J+cPnscCX/l+QdJIWjqk8ZHqtHPczo8wNhfRruqT\n/e0PWfg6QT7vBQvLCXVJo8k8alSPf4e+IkztMDwe3Br0vwnu1OB0mXRY41PwS48NA1EJKEDv5Xgu\nh4uSdfJvetxN0w7ruWzPPEvTZbLCwjy2eyOmX5p2azuFS+Op2FZAS4XMc+ktTBYkyO+dI1l9EOT/\nCI6WdqxVuu5Ub1nYe2q6F4zMHrGVdfuncPSehZyhfs4ErxQgSqMWVEHymfXgggivh9V1F1B4hVQC\nTE1PYdSaoxmatIxhytdYds+AzpX9cH3VtqxiHGVkEaeaMKkeojX9GfYKGeeuIZFwTytGc2eDG0Hs\nJOmZaFam8Gymk6Qt0XhMLi496kKuWS1X9sOrC/nqtATyI44iLXY9bq+B26feg2n5ndhFOPXudBI8\nbTjMocS2W/nT2v+SYtK9HGp4OA99+WC3z2Th7rf92ykRqbQ4W8h0tfOsRc8laDfIf9WH06+gKe4q\n//5xG2RIwzx+PFFX6/sPFbH1WcTZvhyCPS0oU+8IOL6zwkpSVAiJUSEIrQpIQlF6b228e+le/3Zo\ndOhPfi4A53er/dvhc3tq3PTLsvjmj7DVHkN8P/kdSRmUROrgYLvkIP83CXoKghwynSVZUSmRXPDy\nmQyb01OtOzTaZFw60ycPPGuYg1CTm3+c8RhnqHomeRo1zNq9EHOq3k43xuuisFKXBu7Mgp+c9TYx\nWjXRLSXd7uf0GNldJcV77E4vbk0Q20V05l/irwCEuKU1kVUmpS+65hIsyZzNXncBilBJH5jG+FkD\nURD0byhmUO0+pp05l38ct5RB6VW0u6IYHJkDexZzqfYYEW6NUHcrzeExPLL4PqYUbWDgHpmwGP33\n2+S9DYGKfuNSAksC2z0O9rXs5c/VgWWeJcfey8enf0Z2lZP/nqv3C+j0EiQt/hBDaio/mep7/ZtK\n/vvQRWTI4fTQYHOSlxzpEx9qAg5ejtfeIg2MQccPPOi4vtBZxhnx54sx5uUe9vUOBXuTA1ut7PDY\nVBKDOdzErFuPOaLPECTIkSToKQhyyBQul5Pp+HmjD5qBvbNSTsi3nTqUMf3iEJpvAizX2ysbcfOR\n4U+y+m5O7/es3V1FuEnP/i/oDB2E6okA5z6jZ6e7PHKyzELW1f9bm08bskIhvl3+yEe1Sxd808le\nOtd978au4cQ3zgIgPDIMm9OFQCFlvJOInAim5O3HoErxIFUJg4q1uIWRuKoETJqDBFspHtWIoWvW\nIxB26hw0oeH06gl8qqLi1qRB8peqnUQlDeOu1QtIcTkY06pXXjyeOZKLhs2T72vLVqLb5TlnfSBj\n+8b8/N4/uD4gRCvieF0JkdDAMERls5zg0+PCEcIFuICDC1R1+BIVR51+8LbZfcFbVQ1GIzF33XnY\n1zpUPrtjacDrrLEZhMcGFdeD/N8l6CkIckgITfjLzFIG9dRIR2dPdSshRpWR2bH4S7oA5R1pVGiz\nCsg21PR47gFzKk6HICemewWDmC5FbPbVpgRoH3QyQpEr7k1iJABG4SHT58GIbStjb/8IUkMdfL7v\nBjZ6bkX1qKhC/lv8N+5NLl9yHQBRke1E3xBJuHmD/9qW2msp3rOVWd73GF4vDYXI9jrMHt3j0Ykj\nVOXz/Z8F7Hv/1A8patlPqiGMUxpLWW+Xk/y/96wIGBeZMpyEsERaH3sc+yuvYg+XhtCYLTJ0kPz1\n8m73+1E8TtC8UL4GUXJOlwMXo3TNuASqmuV7y4wPA+ydT3XQy7e3yhyE0JjD63UghMBTWoohLQ3F\nYPjxE35GnG1OrFWBIbDcCdm9jA4S5P8GQU9BkEPCVi9X+RGJ4UQlH3xiqG91khITitGgonl9q/gi\nmz8U4IqJI8lbp+cGdMHl1ev24zPMJHcsZWr26wFj7K5YwgrKADPljT27s9MVaXSUIV3uc7UvibGO\nJbK9jsiOejacksqQxjQqWodTsR0GuXU7uSm1noadfwAgLbbFv3/9/gFc9/afWHLFQBatfw2TSxcs\nMmouMqw1xL/4Akp4OA0X/oGHbx5I2XeXBkgzA7S5bNjcNoaq8r1WhQR6XdpVA+UhkQwokJ4L2+NP\nUJ0awrZR0viJsXoInzfv0PsJVG+Gl8aBoiJUAbfK0kJlWyLKmO79DCqadE+B3yhQevcQCSFoKmkm\nJNKMqQchq0OhY9kytIYGwk4/7bCu81M40CCY8Mex5E46fBGmIEF+ywQ9BUEOiZpd0uU+cHreQcdV\nt7TTbHf5JhLw6+lX62PqY8L8k7Z9VziaG5bHyq57Npf0QiTnm2mqdDEt57Vu9zCoHrxhMtntyx2B\nLu8BKdWAYDi7aRIxNBNDNFaU4mGgKEQ7qhCqgXPNw6i06ZN67m5f2Z/9Pzxx7W68blluOCS9wj/m\nqWUnYsZF3JbHKSaHE4p0gyGleRcKYCzIJ3TGsRiefZSybL3EECAvJo+bj7oVq12+9zinTNqsNkeg\ndHGRzB98HDcNmEx2gv58K6ZL4ye3yI4CRF2rd3zsE2210iAAEBrE6MmCSuvRPZ4S6CnofK+96w44\nbU7sjQ5SBicfdgOkpj/92fdwR/anqmhNKYu7dOGc84CFEacNPez3EyTIb52gURDkkFjxpIzld9ic\nBx23aH0ZAGNzTQixG9kFG5Qt0qjQbhxJeWsCt6jPAGCI8UBoKLsipN7BStXXva/dhqp4/Nd1Zcbx\nVfFl8lp48SXlU9USF3D/8sYEIrGToDSziwJAIcvZQrRdZsJXJY6mOmM0X6w4lg1VZ3Mgo3bt45VJ\nUutgZFYxk/OlUbO1rICalgyuiV2Kd92zbBNDiXbpssVmbzseFcriZE5D2/TuAj8n5p3M7sbd3PmN\n9J54fZ0I2w1GLqqR99kbFsO5Qy/i5Lw55Mbm4m1qBlWlPUtmP8xbWEHK+nUYMzK6Xf+gfHtP4Otw\n3we4ugaSu8tId7i8LNogSwvTY8MBKZKk0Hv2va1OehN+zJP0Y3gq9T4L5nFHphRR82q4HKtZ++pX\n/n3TrlxGyuBg46Mg/38QDB8E6TMuhx4rHzC19yzwFruL99aVYVQVTh97GULznef0olitiHATmKNo\n3qRPpvWmASTdkMFXnxupNYeT+P0YIoC6cjOpkVI9cGfoSP6+815Obm7G6QnnxMFP0LmurmzSxZMU\nBE6PmRSkAdIo5LF+dhugl8dtTQ1sxdGU1EB8fSJGRXoFvss7CoAFpy3yJ+O7PSNZfttMlE/eZNe2\nAbS79HyJcZbXaIk28PcHh8GqG1gw8a6AxEL/5+Ns4dP9H9Np0WQ47Xzl85Cc3iDLH/eGxXBS3ilE\nmuXE6ty/DzSN2tRQQlxtZBoSMWak9/o36BVblxyOK3bBV7JzoWJ3w9Qzug3/oUL3gkSEGn3liIDS\nu2xx1Q7pDopKOjwZYI9FF7qKuHD+YV2rr6x6bi17vtpP15/G2Kwm4PAEmIIE+b0Q9BQE6TPN5bKa\nYNCsAaQP77n8ra3DzexHvsHl0ZiUbybc3CXpziBnVjExGa8YjbdIJqM1V8cQdm4sz273gKLwQ3gi\nUfUJJOTWc8noSzg1XzYDWu8YTJRvVZ4btwkxQIYYVlsKaHfrCW3zJstkwERk6aTV128rRuk5qbGT\ndSesoCVlPeEN2/jP0efgNMlrpsc1U/juOG599wLc2oWoqgKmCP6sPcnEChl37le7BpNSwou36yWG\nW+u20OCQK+uj06TnIyMyk7d3vekfY9a8nNxYwvMZw4gPTWBvmAxXvJQ+hAiTPql6q2vQFKg2t5NS\n04Gi/sR/XatPqfC6cv4fe+cd5kZ19f/PjHrf3pvLyrjbYLBNB9Mh1JBACAmkkEDypr4klDR+qaRB\nSAKkQEJCTQgQIBgwmGowYIwLuGhddr29aFerXuf+/rhaaeUt9pryvMTzfR4/q5m5c2c0knXOPed7\nvoeyQ+CsG+X2om+OG6IfjMjPryKrNSDES9kj43deFELw2l1Sxtnienckw0w2UlB8800H/n6niO3P\n5ju0zzrJztFXllI+sxeF4knO0qHjvwe6U6BjvxHul2HhksaJfyDX+PLte2uLBwoP9mfFcUqt7H6z\nhmIhjbbot2GZleHFTlnq9akSI1rKSLTDhKrkowldVOWcApe5n51LjgJgfWshv2FaZR+fUh7gVsO3\nAYhgw8Mw7SVp9oaqpDHa/Ky+4HE0g0Z3tIqbT/wMj88/BYBKjyyD7EvVs3Z7M/W9T4OWZuOGdVjS\nGg0haTS9nc9y09dm0ObINxFKaSn6smWPr3VLSeMzpxf2iPhu6zreqZxHSjUwGPdTnE7Qa7KhKWpB\n/lrr7WXLbBdpVVDZk8A0f2yof1LcfSrcVA89b0HtUnBn0w4j1XVVx417Wk9Wb+BbZ81GiC5gHeAF\nxifc3XfFQ7nX9YsPIJIxCul2mbYwNNTvY+R7A6EVlrzMPCbF7JPT2SiRHinQcXBAdwp07DdevPVV\nANxVrgnHvLZDNo4pd1k477A/AqBsnoNy5zZ4MdvgyGkieNsDHKO8RkozUnR/NRsT+a+iebc0JjZD\nXnjobW0Bz4hj8SSkYQ+YzTzZIqVmO0alDv72xTp6/SauUv+a27ddNJNIOTEm8ivvoUOLOW3GTVy+\n8AskV9xJzBll7ht1vDq9UEzoj5fL97A7NINvKb+j8fnL4d6z2JSaRlUkHwUxZuIEigrzzol0gv5o\nf8G+5eWLMAiNabFhbvG9yILLXuGumcdjVEwoQlCUShAyO/jNib8tOC/T08PK02TI/shX/biu/MLY\nhz8RWp6AXasgy10Qh9eiZZYgtDsR4q3soPEdvVufkcqEVUU2EKsBUJSPoYwTVUhGkzlIioOWAAAg\nAElEQVTH8awfnoK9xD5mzP4g3dlFbNUzpHfuBMBY/8GUAQZ78yqd9pIwpTNuQYib5Q7l3Tk4OnR8\nWKBzCnTsN1JRKZpTNmPiZjC7+8OYjSqPfH0hSjZ8z1P3oSQyKEgWe1u8iiUzngcgoxgxKAq9UVmX\nOLMoRfddkgXvtkiD2jK4jBvrryA+bKU2FMRhGiToNHHEdBnqbR+UjPzyskE+dTuUcjifGVXmaAx6\n+MTuAeQKV2LJQjsNG2XDnh5RxpVbvkEq9RhvJQMMOeSq8NcXraXcHST60Gza3JVcPrhKnrzraYb4\nHNXZKIE70okCZIwqy2uO5FNzP82Vq76AP+5nOBFAQclVHhg71pJRVCpQafxWgHgmSVuwlSJLEalw\nF0YEM+uPAU8hZyOx4S06L7RS1xFjVksE1TOFlevjVxRsirmt8q+4ddTesRyB+CgCZWOpAyGyja2U\no8a9TLgvkntd4Z1c8XAyDH31ayRflQ6ooa4OtfpdKDXuJ4R2H/7dDwNncfgn17DwvDezR0bULvVe\nBzoODuiRAh37hUxKGgir24K9eGJFt+5AjCqPFVXN5q6jK1ASmYIxtz97au61CbnyH4hJK77Ln89D\nl9hk+LjTuIjetIvSTABLBurdG1l0lcbh0+VKsmuomJm1SQaG5Mp0hEswgjlt+TkNWeLftlQ+r9+q\n1VE9p4JEpoWwxUHDYAf3HutkmfdtwEnmzD+zpP3mwufR5WWOX4bWZ3Y/T9IuS/s+Nusiapy1uMxu\nBqL9dIY6c9LGvznhtwSekz0FiioWgKLSF+0jIzJMj4f5+9Ys492ZN4KZnh4Gv/p1ghvWkbQY8ASk\nkVIrJheOyiHYCaE8i19YJhIAGltiuKNPrpwvXNqAyagCbwP1KMr41w5lowQzj5uO0XJg6w0hRM4h\nADA0NLzvZYBC9CHErxhsk45MSeNeaS/sKMq7q6TQoePDAt0p0LFf2PSIVAYsbRobZt7cHuCvL+4i\nHE8RiKaoLrIhRHalNVDYNEcAnoF8R8LnpzfyTJuNJ3bL0P6pQzJ877F0M3epNGAph41g1EmZSRrE\n6We2YXXl87/JjIk50xKYskqEJVmnYFd0Li+2XUZayzsFGdWMogwSiLwDwD0VzZhjduqPqGXRv7aR\nMpqorAyiNDxIKrOHVKaeU298nh8lr+KkzD/5X/FzBp4sxdmXL8lzR3v5w+VSHMmebXtcai2hK9JF\nWqRJZBJM80yjyfc4gfhA9v3J5zgYl/d63s7n8w9plFPgv+wzxB58kJ3T5fPxBFM4r7oS1bmfRmrL\nPwu3p2eNv/JJRvMCxjO8T2+SVQSzqt0I0QYEgYnD6OGssFXDYVMskxyF1ObNBdvOz33mgOfabwjZ\nxXK4S0ZfiuoGUdTXRw3QtQl0HDzQ0wc69ol4MM4b98jc85zTZ405/u3732IwnOT2Z2X+udJjBfG8\nPDiwCwDR6ERpCyM+Pxvr7TEwwCrHDH7nnAUb83MdueFl1tKIvdSJrV2S1jq0ClBhEcVYnF1UfySv\nNHfDw1JjINWbYKTcsFSR5MAW/3La/EcX3qyiIEz9zI7IMdZ1Rg41Kvx78GH2HC5L8opnJWmcLln2\nL2/P8wTCOLn0nr/RrzUyukzfkfDTXyZXz3ajdAqmeabTGmyV7x3B8srD4aHP8P25ksBY6pDh+t6s\ngJFJ5LspUpZvMNUa2IVWZ+PWqySZ0jOcxnzSFGr2W/4j/178OPzzQsRR0wGBohwFyv8gtGtQlBUF\np9zw0GZWbsxHFw5tjCK0i7PPb2I+yYg+gbPiwEsRw3f8BYDSe/6OadYsDNUTt2d+LyCEQIjHAYXY\nsPzsbEWVkjOh3o7QrkZR//K+3oMOHf+XoDsFOvaJHS/uzr2etnws6zyeKkwPLGwsBrbKjQFZnibO\nvBzhtINpFSYhc/HrSj0F581rs+KxSGNUT76L4sv+ZiiHoj0RZhy1FUWFgZCTs2+6NjdmZUs+h12S\nVd3LJPIh8YGqXhRjC6UdR2NzWVkYHiAWN7JsZRD4Dz9f3EFfpWzLu2Tartx5Hnu+Th8hKIsM0VJ9\nQm7Xsq1/AsiRDEd0Ba5Y+EWea1+dG1eKCkJDyxL0ZjSeCMCeYBtGLUNjXIbq4zVLsM6+AICh+BA/\n/vbMgmekCIGhcmKNgAKs/zPsfhZMDmg+A/HNB8H43ezBxSiKAcXwizGnjXYIShxmqjwXjzo6sYjP\npkdk9MVVfmChdqFpJFavRq2swHLccR+QeuAAMi2yjHjwEEz2YUzWHwKgKEtQDM99APegQ8f/Hejp\nAx37RKBTrsxP/PrR4x537JU/Pn3BKCLirjaESYWiGWDop2PYhF2VufiwodDA/Dj4ELG0XInaTNJI\n+vxH4reZKHUqpIfjTDtUChn94KF8Ex8DhU7J6YrMzcdSHl6pcbLykw/yxoqXqOyVZLHGxpmUpuIM\n7skbryUvdCLM0gidsWh9bv+N/zkHNyFWKC/wmbX3AxDNhv4P3XEPpeFWANImlU/PvRw1a/TtJjtL\nq5fl+h243nkQyHvhM0pm8WrXK/iGtlOWimMRGquL6zBcvibXtrit650xz3rRhuH9dwpWXS3/piII\nEUbkHAJQlPHXA6FYqmB7RuXon4iZKMqXxj1v61O+3GtbkXXcMftCauNGtMFBrCec8AHKCcsKFyHq\nCfWmcJaWoSjvvt2zDh0fVuhOgY59ItAhfzgbl46tFxdCMDSqNO+jRzSgKHkWuuqPQ4MTRZ2B0LrZ\n8IaNz6r3ATBgyhuP8/slaTCelobaagzxz67/4bm2K/DbjHznjDloGQVHeZh0SmF9mwynnzKvEhOF\nhswgpJPQaSxh9/Q+1IyB0+/5KOmUjCbUVEbxpJPwnAxz97jKuL/2m7S66/HYIqiKYI+/lDd2zWVX\nXxVuglwu7uXMd6SzEXDWY8gkqAxISeKeSslZqHIUsuS/dcQ1zM72LajavZqkopIGFpYv4sndK/nZ\naz/BN+TDnZHPL2MrxTTKUfr+xp8VzHf1L1uYfcmX9z+knsiXdAqRJ1aijN9cSNMEn/vzawX7zlyU\nf7aq4X4UZWwlgBCCtx6UXICzfngKquHAflbiT8vqDusJJ+xj5HsJ6Xz2bPWQiqUonV6yj/E6dPx3\nQ08f6JgU4f4I3e/04q5yYbKODR3v7o+QzggWNxVz2+VSFliS0oBYVizIY0bQDIYBTnzj7dy5vWaZ\nw705+iaV7VEiooh4Wob87634KI7X60mYDaQMKvENDwFFWMqT7BkqZ4T8NTjQS5zClemQKKFedNNl\nLEYx9dDg20vcqPXzZJKSxBgzWfjSx/PGd0FDG3e8cAK9wU9z+bHTWaDewef4C77XmlnINuJGJ2Fb\nBeXDPlShcesXptFXYabYUsyC8oUF14mn42wf3EatvYrGRJj+WecAKTwWDzsDeeW8omyrZZMrT+KL\nrcw341mybohjXvIzM+HB/bWvjv2QxkM6nn896xwYFU1RlK+Ne8pzW3tpG5AO3d1XHYnLaqTC9S+E\nAEW9ccJLJcJSn6D+0JoJlS73BaFpRO69D8XtxnLcsQc0x4FBkiO3PSW/i4ecrEcJdBzc0J0CHRMi\nEU5y7+f/BUD9oeOzzn/zpFwtv9U6NGpvlggYlV8vUVQMOFGUDE4tr/h3QkOMJqJct2cBJ2y+BIBS\nWyuKAusTzZyciROqGOR75x1Pyw96MdsTWOwpujvyFRDrRikXX6/cxFbRTKU2SFxzMmy2oCgas7bm\nKxVOffMGRLNK7/3SePVXNRW8n++d+yB/fn4F/3vmbCxGlav4Iwt5h66NklG/Z9pceZ/BXexqsvPR\n465i4bEfI6NlClb5AJsHNpERGQ5zS82BV+xuSPtRFRWDki8NnBORFQhqxbzcvsHPXQG/k07Gxfd3\nYItr2P/3i+N+BuOiN8viX/wZxBm3gxjdEnl8ImBPIO9IzKyUaRxNa8/umVhAaKTqYDJRq30h+epa\ntIEB7BdfhOo68HmmDBEiHrLQsQFMNhPVc/czNaNDx38p9PSBjnGRSWVY88d8KNlRNr4hKcvq2197\ntjSWmhZGiBfkwV65mldqfomi9PN2R2H6YWmgh0Om/ZVz51yW2+ePNeAoNxEJy5VbpjjE6QvdKIqG\ns0I6G92B8YV7DmMDNUo3VaYuYmkPmKI4Kt6ktkMa4BUbfoZRSxLemDc66d/9AYCqeB9rvns9DksC\np7UWq8nAjt4wzexidyh/3ymzrDKwZvZwzyX1TK+Zj6qoYxwCTWj0RXoBqMXAZYecyJ1pf/5YNF+W\nOT0m31fNnIvk8WiUTPZ/5qy2FLa4hnnZUlxf/cq473tcdEpZZeqOBOURQPIkFPXGMfn6dbv8PLel\nl0C24dU3Th8l1CNGnIK6CS81tEemKTy1ngnH7AuJrDaB7fTTD3iOA0OI1tdmkghD8/HT9dbIOg56\n6E6BjnHx5gObCqoOauaNHxYOZFUOT5hTiRDrQJwA4q/y4G65QldKFpDJdPPlu/I15/dUNFM9NI9Z\npYdwTs3oboUqQ/ZYrsdB8/SZRAPbUQwa59z4AADdgfHzvhtLFvNJNa+9Hzx0JRZ1mITJCULDkgqj\nWjOIjPzhf61xEXe8KY3z5y96IdcJ8eOz5sOtc/jJbX9B22jAcl++XNDvXoTJYuCBT5joqbTgbBjb\nGEgIwXmPnM2db98BQMs79zI0ij9xxcIv0h3OM/xrExEGLU5mVso2y+m2NjprpUCUp0FWH1iOPHJq\nTYG2/Vv+bTwOwabszqVjyg+FEHzt7je59oENbG6XlRZHekeLE3UCZSjKxIJV/lYZ6RhPw2J/kd4j\nnQ+j94MN36cTIV6+TT6TxiMmdnx06DhYoDsFOsbFCLkQ4Jirlk0oW9s1FMVlNeK2mRDaP4B8qF7d\nkGXxu2tZv7Of5Zk3csf+UdlM1Wm/AWDLYxtHT0mPMoArq4K4rKGO8It/p2ZBBwajNM5dATcjOXI1\n+/eH828j2DbKcBkThIuDVHYLBl3TMKejWBbMovz8fpJ9UlDp5yd/mW1dcpVe7pR/H37zHNzPfhcG\ntvFt7RaCr+VXvwKFsGZn2NHPjmYHVsWEwZI39kIIBuODDCdGlTEClcl8yqTR3YjZYKYnmtUn0DKU\npeMk3floxLpdL/Czb0tJ5lJNRkz2i1yYisKuZ0EIiPSArQRKZoCQ8tKK+uOC4fe/2sryHzxNOiM/\nsw1tMgVU7BgtOBUAJiffjUQKJmuUtS+IoJxD9Rx4tOFAMNSR/2zMNvMkI3XoODigOwU6xkX3O/lk\nvadmrAQuSLZ611CM2lzjm3xDGeVv+RI1VCMvvdbPUYpUiftX+XSmpUJY7LJ0cWBHb8G8NpOSixS4\nX/kisRdewlWRd1JUWxqQKQENA0uLt7PivA4Wdm3NjflHQnYjXLRWkgyTJifFP/0CBkeGdMCIWlbY\nMbG5Sqr39QePh4yMftjyb4fy8/souvt6hCYIuGUOXTMUSgY/6Psnl6/8FE+3PZ3bV5GMYiYfaWhw\nN9IebB91XBqlpDu/Sn0ylE/brOiWhtZQsx9OwdPfhLtPhk1/h/4tYB0x0n3I51X4Od785PZxp7Gb\n5fsSIgNEgMlz/OGBCGa7CYtzakZVxONE/vZ3tEAALRQCRUHZX6XG9wDvPLGZ1b/K06rKmyfu6aFD\nx8EC3SnQMQbRQIzESEvgFTOoOqRi3HG9wTiJtEZtrhdCm1ylvhlBaZeGk6wQz9s9TmaZN5NSVO6t\n8PKd9jfBII3IUEc4N6fJbSSwYDDfIlnsIJb2UNLgz41Zu6VQVbFmulyZm4qkoV+160s4d8iVvzsg\nuRCVTU62Pv4G6aARNIWuRN7ImknisccIfH2YIr9G2h8jE1HxbJXXNDjTmMtTDA9Jsl3cLg15QksU\n3MfdW/4GwD1b8uV/pwy2Ex4lW3zuzPNZ0ynVEi2KgVtbpMSuKGoktWUrHTdcz8ZsI6g7mr9PWXb1\nbqjZjy59O7IVC69kBYlifoRIATuAGQWdDYUQuXSJx57nQ3irXKPy6iNe0eTdDqND0QPqiBh95BEC\n115H99z5pHfsRHE6p5YieZdY88e3CPbI78eFvzvngEspdej4b4L+v0DHGLx6hwzz1y2u4fj/OQrV\nOP7X5N5XWgGYV1eEEAnAD9uHUUevQLf+C5JhBlNOpqd7abM6uXBWmFRfU25IZEg6IKddAhXfK+LF\nluNxJjOYHEbMhjihZAkljX4yGYUzbrqWWLYFcpOyB5BlhNGkGZdNGuvO0ByWv/k2TVsbiavSkK+4\n/hQcfavxPylD4Y/POyl3/STSOfmZ5zKO/vbl9N7UQ8/d1UTelqtWx7wILP8mwV0yWhFzRMc8i8Be\nKYMRnDjUgb9MOjE/P+5XNLobeahFVnS4EnlnKFQ+m/5zzuWp1icBKA5mKPEuJL56NYrHg7FxrJJk\nAeIBGJbPg/6s6FHxDGAbkASlsFwyFE8jBBw9q5wnv5XXBfjz55flB4nHsy8KnZ/RSCfSJEJJHKVT\ndwpSW/KRHW1g4ANNHQyOqpZRjVBc98GmLXTo+L8K3SnQMQY7X2oFoPHwyYlXT27sosJt5YJDKxEv\nfwW0NAQzYwf+zM316V9iQmO31c1pjREcR34cgEBHgHRafg1LjzqFlZs6QAgcKQ23RRLYWiPzKWkc\noK/fTSCUDy83ZpnxtcWDbLzXQkWRJO+ZUhtIG63MfX0pSZMMmRuVOFWDW8gMy1VxzDSWODetqBkl\nlRqzXy0tg5N/QahVplTijigzlAq+dcQ1uTHPtD495ryf7nwVRybN2kwYBYXpnuls6Hsrd9yZyV+r\nYcHliESCR8+WEYx6cxWZPXvQevuwnnQSisUyZv4C+B4fu+/wq0BIvoZCoVPgD0tDX+q0oCgK91x1\nJHd9cTnmUQ6goEOeq5w44WWjg9IRs5dMTEScCNpQoSOlFk2hHfS7xPqs2JLZkeATf7rwA7uuDh3/\n16E7BToKEBvO16o3nzCWWT+CZFojFE/TUGbHvPp/UVruBVVBGRqff3CEsgGAdpsLp03BfcgCALb/\nJy8pbK+upGNoGI8xTkXtAFa1n4QwQYUdky1FW3fham4rkoxXsmcPR3W+kNsvnK8TshVWS4Rffwgh\n8uVmfdWSYX+E2Mx3z5WdBB393ePeu/3LPyOdSDPYJyMFJo+RX597J0fV5mWft/jl6nxB+ULmlc3n\nodmfZ050iJXLriSajnJS48mYDKZckyQA14hTcOz3cFk8KDYbpQPSWH/uuKvRBmRHRWPtfqQOtj08\ndp+tJGfYUQp7KPhD8jplTulszKh0Mat6r89OjJx7xoSXDWbbKzsnKFmdDCIkUzxK1hnIdHZOeY4D\nRZ+vH4M5zaV3PTdpK3AdOg426E6BjgIMZcvSFl0wD7Nt4uY3IzXtxXYzbH0IirIr2a5R7LzPvTHm\nPHO1BTWYgKLppJMZWp6XhMTmOWEURUGIDL+85G9ccPM9FJfv5vjMvymrl6Het5KFq+U+pGEvX51X\nSdzSdSQRh4GYudCBUDteQiSlU5BRFLa56zFmUtyg/onTF2zgia1e2n17xtxv0XFDRN2HcefH72VP\nUooQJVzxgjHtwXbe7JWtoq9Zeh0/PuanGFIyNfDXsGyutKBCrtRbh/Nlns6svDG2YrT+fkQ4jBkj\nDtVKY80cNH9W1Kh0HwS4RDDvFMz7RG63KAfEg9mt8oJTBkYiBa7JIhBdQBGKMnFqwL8rW444bery\nwFowCIpCyW9vAcD55fH7KrzXyKQyRAYilM3oHVe2WYeOgxm6U6CjAIF2uRou2keONZDtd1BkM0Ck\nF1xZB2KoPz+o5jCS1ZcXnFdab0G5dwcUT+OpHz9LNCYNTu3hs+jd1oWSUpjbJI1zrNLArGiI0ka5\nYg4kTIyUIs4iX91gtEhOwD+2/Jhngicx5LERsxSGot19j6El5dc9YHeiCSumTApjnWTaP/zKCRRF\nhwvOUYoypOvsvHxvW8H+rx339YLtLz97Ze61w5RdMSeCBWMOrTiMv7/zNzb158svz67NyvnaShj+\n0U8ACHnMFNll+WemR6Yr1PLxy0EBSEbgxux7XfYNOP9u+OxaOP8ehOf50U8g9yqaSPPCVqnPUDpB\nxYAQGtAOTBylEEKw+1X5WZXNOACnYHgYxe3GeuIJVG1Yj+uLX5jyHAeCcH8EoYG7chiU97c1sw4d\nHzboMsc6CjASKSiunzy/2z4oyXZFmmToC6sBMgIlJrXz/aKYIk0Q3mijZFTxgt2tQqYUzE46N+bL\nHt2H/Jry5l4+25vPfc85rYM7m/Oa+wMxjZFSxEW8w3a8HFu6nohWhDsZIZQoJ1S1k54aF7OzkYJp\nPS8zfcF6jFoQLSH39ZbIUj2hqJiXmRAxwc6+Kk6IS0NedPwQ/7B/hKXlfTy+5dMwEoLPYm65lCMW\nQvDlZ/IOwfnNF+QHPSFXvU7VTImjijd6XudB3z9yhyvtlcyxZw2StZjkq6+SUSFsytBoKUILhxn+\n3vcBME6bNvEH0bUu//qwrFGtPUL+yzySPVCo1Pft+zfwxi75uU0UKRDix0jNCcO4xwHe+sdm+nzS\nYXNVTK2UMN3eTnpbnpBqKC+fZPR7i2CPjGa5q4ZRmLeP0Tp0HFzQnQIdBRjKRQrG5waM4Pp/yBVv\ndCirzGc1oDyXzwmfqd0LNzxNk305h2oK/2O8nW/OPIorUyEU9zQyw3ltApMpQ4VXbp95dH4lXdk8\nup8CFHXniXl1ShcIsKaSMJgkqrjICDP+iiRdNRYGnZWoWorZ7SupO0Pel5aQhtHvlg5P3GhBq7bQ\nP2gjnjJzQktWand6jJaho0ltmbw+/3+e/RIdYekwNLga+NTcywqOv+SpJqwlsaVj3LHpTwXHouko\nxLPvz1ZCuKGMH39BOi0lthKSb+RTL6bmSVT+RuSSl30dSvceJ9McinonAOmMhqooOYcAoLZ4gtSA\nyCoiKksmvPS6+zbkXk9VHjh0081TGv9eYuX/k90uXZVB0NMHOnQUQHcKdOSQTqTp2tyD0WIctyPi\neFjUeotsWGgxwFty1Tis5JXtWm1ltJuP5JVDdiEUhWmJLqg5ltd/ehsghYUUw34YlK4IM9rzIkAV\nyGt17ZyDs3KQ/kgTAAlngrQ5RdBWRlm0H+uCFOnqozB2r0GLylVvV5bYpqgCS5FGe6CC4kiAlMFC\nV8lCbOnXaerIOwT2Yivx4Z1oWi2uBfK5+GN+2kMydH7pnE9xTvN5ecPYI43lLxukbPFAbAAxSukR\n4Ial34Vbs6tURwXfvgjSRhnKP6J6KZnVcm7nF65AsU1ChAtkUxs1eeMtRAahXYuUKPbS0qNx/6ub\neWJjFyv2avhTqF44GocA21CUKyc4DrZiG7GhGEd+/oiJ728iaPKzLP79b6d+7ruAEPnqGHtJGNCd\nAh06RkPnFOjIYcdLkgSXTqT3MRLK3TLsfDSvIarrwGlEScof+i+nf1gw1uToQSgKy6vjmNNu0su+\ny9vbpH6AQUmgGgvLGNvX52vyu9oq6L5tAOWu7QyPyosbLfKccjGEqmQIJWXevb+mB0PagC0NrtIB\nHCc7MHavQWiQ6JCSxDsqpKTwzAqZvhgKOymOBdjcdB5vN53Dg1vzcsBHL9vK2V+dzmOXrmH1BY9z\n2JcPA8A3JEPfTe4mPjrrY5jUUU7UO7JHgyX732tvhwBgRiS/Ws+YK0gb847R3NJ5UuEP2fNgUuxa\nJf9WHZrfJ54AVmc3nHzlb+t4YqOM6Dz7Tj5C8+fPLx13SiEE0A9UFwge7Q0FcFU6mXfmIROOmQiZ\nQRklsZ44cbnjew2h3Y/Q8u+5ek4amP2BXV+Hjg8DdKdARw7JsCQPLrl40aTjMppgMJxkvnkPigLi\nohXgzBvFjr3IaUaL5CmcNT1CZNZPCG9+AYGRWaUvIhQjhr3S2ua+AX70l0+xbdVc/n7rudQO7kHR\nYDgrt2slzg6ksSxXpHGNpGR0ImGPc/5KmYMPxSuwhbOOzlA+KNZnk/d3wwXSeDeWRfih2sKwvfC+\nz/H+kDnnH82dHZLBH3NGaSyVDsuq1qcA+PS8QiIlAP4WoqqRxCh549G4Zul1sOmu7JZC79b1Bcet\nDz9Npk+mBRT3PtoI926CoiYoy6s8CrEq91pRLyM8jpN36dHTmFc3EW+kF/AjowXjQ8toxIbjOA5A\nyRBAGxwEkwnlA2qTLMQ7CPFLAAymNOXNPajG+1CUiTkTOnQcjNCdAh05rP+nFHSpXTQ5IzsQTZLR\nBGWZbkTZbLC3QFSu3Huss4hh4+qhN/jXnz8HgGKQ5W8us4bTvJRwyxYA7HOPQtMMKIbCEr9KtpHs\nmMnLt6/g9CV5jkGrkCt8FY1NLdIpcAlJbCzyt5MxrMUStWKJyRB5Y1FeKCjRnfc8htVaQFBbLFer\nzVVFONavxZIaVU4JVDh2QeMxrEu2oGiC3ybOw2KwMJwYzpUgTvdMH/uABlt4xz3+M1xecyTLa46E\noOQ5JI5fSffjUifhOGUWNz9VTuDqbxH5s+ywqE5mNDMpWfnhadrrwB7Ag6I+DizPNTwajaUzJitz\nHNEnmJjgGO6LIDRxQKJFANqgH7Wk+INrVZwVusqkDGRSRsz2JIoyOW9Gh46DETqnQAcAbz++lWQk\nicVl3mfN+YjwTanWi1hWAYRgSO57wngOZqPK4W3SIC+uWUOnSdaymzUjJoOHcN8wUE93TwkwjKda\nHv/D46dxfv3TVGzyI8LSySiyyYqADArbkUS6afYuIiaZCz608z9QDZ6hDpJlIU7659mM0BOPqJEr\nfJGG4TX5VXHaYqTEEcZkyKYtMtfSP3ApQ7ObMKoJPnXhs6j+jSixEoTZRYQkTa1RKhY2AbBjqAWA\nRRWLKbLu1RlQCFqjPWwoLxQLGsHarlezD9FHOlXFwMWfpXe+GxZNo7FxIebHri8Yr07Gyu+TThyO\n/BhZStgLNKMoVXQN5SWZ60psfGxpI5oQLJk+iVMgZKtlZZJyRN/zOwGwuq0TjheanrkAACAASURB\nVJkMmn8QQ339vge+BxBCIIQs+Qz3zwXA4oxNdooOHQctdKdABwC926W+wInfOAajefKQak74piIG\nC+XqWnlDnv/mcDHVZTaMO7aDDeYf/jKmNkEbDjxmueoN+WUVQY9PVjrUHyrJcnetP5oLd/6ZeMZK\nfEj+aLtCMlLw67pFJNokKa6p9iU2d18MQFlapg/SKRO2yMm5e7QYwpgNceIdFvz/KazzN9o0PPaR\ndsL/ofvy7/Dq7CsAMBuiGN3FsGs3VC4k0tWGpgjs0UxOL+C+bfcCcEztMWOezaaeN/jutMNz2xfO\n+jjTPNP4+es/A7Kpg3QChtvovVNGE4Y9MvWi/mws6c5QNolGwaOfkX+tozUlgkAKkNGSO7LGu67E\nzv1fPgrjfjT9EeJW+WISZv5AVrTokJMnqYyYaP5EAhEOY9iXKNN7hn5Aft5P/ugkIE3doo98QNfW\noePDBT19oAOAiD+KoirUzt+3mEsuUlCdDfsLgdIjf3Q7qKFtIIIIDOP8hJ1gUkVRFQyKwGo8ByEE\nrR2F16hdKJn23zrpAUqj/XxOuwVHlrTojHYTFxYe7rgOUCjBT3dPKd1OM65kmLJS6RTctfCLBXPa\nTcOktBljHIJUdS3huBW3LQrKKShKJf2v54WQTp3+G9m9MZNEM1ey8/QVcr5oJtepMJaWDsvy2qPG\nPJvHd/y7YLvcVk48LZ+TisoRVUfA+j+RHlZ4fUkRd11az/0XyR4Tnr7wmPkmxZBUS+TQK0btlFUZ\naa2YGx/bwn82SILhF1c076dDMPoeasccH+4K8szPX2DPGx0U1XkonVY8Zsy+kGrZAYChbuz87w8k\nuTIetBLqlfyKacsPnewEHToOWuiRAh1kUhn6d/hxV7sm7IgIMBRJcu0DG9iQbedb48wy6IN5/YDe\nrJyu51du7BfaGHpJJWVScQiBYjmBWL+foWh+BVq9qJvi+kH+/vApnDPtMYYybnZqtSxMDpAyCjID\nIX6rXoaWluI4IaMRS8hFyqBSHfVjLkmREQqBUB2js+/zKp6m70+FXAWArsVHIlApdYZRlB8gNI2+\nIknSO9r9GuWOVkhKBycWdvD8cdKpmN4rMJSXk9Ey9ES6aS5uzqsXjsJg3F+wXWYr460s/8BusqP6\nHoUnv0Lfg9X89abCzofl/YXdCE1z5479EEbDVgrW4oJyxBGn4M4Xhnl4XXtu77ETtL8ei5HqhAYU\nZWx4/4173mLXKzKyU9JQdECcgOTatQCYl45f/fDeQ34mGx+Wz2nRBfOwTKDkqEPHwQ7dKdBBZDBK\nJpmhonmSUDVw+s+fK9ieVjsAKNAuyX63apcBCtdadkmHYFiwonUn91Z4cagZFGYRfuDTQL5tccNC\nuWrc2lXLBcURTtLux6AJ3IkMrrp+OlM1PKydlxsvzBGUsBusUJ3swliaZlummfoBK1ZtmEuOvxlD\neDciDV3Zle6gqxF3uh9jLMpzjUsgBU4lQzICmTWrc82TZp5vhU1AXIbG73UIVp8onZxjnVJpsTvS\nTVpLU+9qGPcZDSdkSsQgNDKKSiAR4LFdjwHgMrtg51NE91h4fWEhb2PZ2kFKhlJYzzwT67HHkOnq\nwvXVr0z8YWhpCHdD5V6VIkI6Bf5w3kX67PEzCrofTo6sPLNy0rhHR7oiAriqpqZiOILUFkk0NR+6\n+IDOnzJEGC2tsvlRGR1YcM6cD+a6OnR8CKE7BTqIZzsj2oomJo1ltLEM9uJZcpWorJMlh6+IIzhl\nfjVHr/oSUITr8R2ctLyCP21XKTEBO5+i39dVMEfTMukU1C96hftWy66DRfE0KlCjbuVS7baC8RbP\nTkxttWCFj4mVKAbo658PQImnE0O2BHFV3cnMZQuYBCUhubIVKKR3pllgiVC2uYq77r0fk1Gg2iqw\nmTOYN90kL7LtYVKKyuNuGUpftnaQ0jO+DJATLBrPKQgkAvSlQsyIDmPXUpxw7I/YPaoBUkZk4M07\neNQ1m/vOzEcJvnbzDubPPZHiTY/tf559aDdkklBWWDYYS/ZgNRU6BfP3IVk9GkL7XfbV2CgLgL81\nrzJpce6jnfMEyHTIygtD7QeVPogS8ecdmAMlR+rQcTBA5xToyK3+bEUTl5f5w4Wh7RX1crVHOgOd\nQ8QdDeygiVqXkeJbi0AIjJc0E2ooIplR8DjnQcer7BlekJtjxnFbcVWECAecVJR3coe4BIDiuMz7\nptXCpkIAFnsvalQS62bapcEdHpLh/xnFr+XGDe3OdjxM5cPbYYuH6iFY0hMGTe5PpRUSZjdFlVaC\nBhObHXIF/8/yfNvoLx13HbbTTgOgPSRD8g3usU7BVatk74GKZJQtjhKW1xxJMJlvsjSvZzv+J0u4\n79h8qd9HH+xk0eEfofSWW6ZGvBvYKv/u5RT0Drdm/xaxdEYp13xkDkdMVmkwBpLYqTB/zJF0MkMq\nlk8VNR5eN4V5JbRgkMTrr2Ooq0OdTKnxPYQQLxEZkqmeBefuIyWjQ8dBDj1SoIPhbml8PVXj18Sn\nMxo3r9wGwBer1nNU35+oVtNABQRTKEC361AIKkwzy3x8WlNY22PlV2/KVWpj8WwCa56hPZg1ri4T\nF1/xIgD33fEpyk67P3e9cxYMMNRuJjymCkJgMw6TVE0oaJTYAmSSBnrC0imYVfpSbuSpb/UQoTC8\n/XbtYRM+g/I6A9+rP4LdNg8nDbbzTInMp198Xzv2n0s54n9su597tt4NQL2rMN++qvVpIimZRlkU\nHuDVomrsJjv90X48gRS2WIYz23by0OxGjCmNtEn647WdMUzHeVGMU/yvOOIUlM/mrdZB7l7TyiVH\nNRGN76KxDLxVzXz/gon7FkyMBmDPuOmD6GC+vPHka47fZ9Os8ZB6+x1IpbB95KwDuLepQ4ge4FWG\nO2XKwH2AKQ8dOg4W6JECHYR6ZZjcPYFTcM+aVlZvkQS0owzraVZacXZ0QCwNYbly7MzI1WiTORsa\nVsk5BAAN7kbWrsvX7qdLUzisCVqeP4RhUc98Uz49sa7TjwasNhcacbclSMmAh5DZQA09mIxptsRl\n+d/iqkdRlbyCoEiPJcC1VkmNfmHUKG4o4qO/OCV3rKxOY7dNRiBGHAKAQ3Ync2HuEYfAqBipsBf2\nEOgK55tBmUWGU5pOBWBHoIWffmcL3/vxdl7z1PL4WdU5hwCgcU8MQ8MB1Ov3vZ298dlc+Zc3WOPr\n56q/vEGpM0Q0aea0Rd4pTym0fyCFj+aNSyCMZstEF54/l2nLxudU7Asj7aCNjY37GPleQTpPA7sk\n0bJ85uS8GR06DnboToEOYkGZGrBOwCnY3p0P4890DeReK0+0w7CURm5PS6egYdbfAYjuZZQbd6wi\nFMrnoJWFkhE+2FrGoiW7CfRKNvi8eBsviEWsrXWxUT2EUfaTY5vf5PDVxxC0GJivyB/7SLABgWBB\nxZO5cUJAdGu+MiD1pauJrHsHzeQmpSqUXd3GhbecjTPejyGTLa8059v4ArjNbv731g6qPfUoJhPR\nVH6VfNaMs8cYzZEyxc91bSGhGrl83md5q3c9yXQ+7dLTX9hk6uo3yrEmtKkbSC0N2x8FVy2ZrKKi\nQclwzVkPMau6GyGKp5gykBDi59lX4yv9jTgF9ok6K+4HtIDkn6jFUy9lPBAIIVtLh/vkM57I8dWh\nQ4eE7hQc5NAyGruzJWbWCYhjJdn9P7toEYyWAg4kISQjBR0pDx67CaNZOhDBZOFXq27NL0lrcp72\nKiflxTLXHh1ycNT8uwgEZX45qsgx28rsJBUzGnnjqw3JdELIbOBE8TIAXeHZYIliMUZJZXXsk93S\nwRCqPLfq2FK2d/8VYwriBoW6EllRkN7dymE77uUwVwsGQ6FTcErlcUzf4sfYKFfEfdkWxTOKZvCp\nuZ8e84xCSflcjhzuRtiKCSWD/OCV72FJ5qMX6iiypnfYxswXWlBLSzEeMsWGQgPbIBmCGafgj0r+\nxfyGPZx9qCx9dFhKplwqKES+P4KiXjvumFhgxCk4cKJezikomnrq4YAgZH+LcH8pJrtJL0XUoWMf\n+MCcAq/XW+L1eh/2er1hr9fb6vV6L55k7HSv1/u41+sNer3efq/Xe+MHdZ8HG3q39edeT6RRMJgl\nGc6vL4JAPkyu9ERQn5PVBD1xKyUOM4pZGsdgQs51SNzNTyy1WIRGMiNXmGsr7CxNyIhDLGjDftur\nBNfLiIMzU0hozGhCCg0BT3QeR8KgEDNlqBNdpDQzA9EmiqdJctxOqwshYOAxafSVrBE2Lf0Dx816\nAEtGkDSo1Jc1ybl376Y8uIO5l53A3elAwXWronJVb2yQTkHLkBQ4OrnpVAzqWMVH35APAwquTArV\nXc8zbbIpkTWWdwrSo56vo6oebcCPobJy6rX+W2SvBK1oOr99SjozJY7RokNTFEECICuEpJyDoowv\nYDUSKZiMkLovaAPyc/8gIgXdW9rZtaYZISDcn8FVPlZXQocOHYX4ICMFv0fWOVUAlwC3eb3eMQXD\nXq/XDKwCnkFqtdYCd3+A93lQYahdGsOjrjhiwjH+cAJVgSIlAoFeRN3YH9fehI0yVwLFJCMH/3wz\nmw4weZk72ApAKisvFAIqa6UzIqIZFAUC2ZC12Rhlb1z/kQdzr++ZV0HUZKVc9RNKlSBQaCiWjkqn\nxUFqoDBErxQrKGqUvoAHkyYwORJYjTNIrF1LqkX2MDA0NbFdkX0Q5qaSeItnsahbzmNoaOAna3/E\n7966BYBZxbPYG5FUhL5oL5XpBGahgauWVa1PA3D0mryYUdSedybChjQiHEYtOwCp3xdla2pfpp5V\nb8sc/UcPH02gGxjnpH1ASDlkZZLOiPlIwYE7BeldsmLE0PT+cgrSiTSPXfccq399Ov07ppOKC5wV\nOslQh4594QNxCrxerwM4H/iuz+eL+ny+NcC/gUvHGX4Z0OHz+W72+Xwxn8+X9Pl8mz+I+zyYkIyl\n6H6nl5dvl2V8kzVB8oeTFDvMqN0vy2B+vRPhKQzDhrHjscnwtRDwZkw6AHXVCyHcTUytRcsIVLOB\n8miK4oZB4kErx50qDX4ASfIzGMfWxw+EC3PcFhK41AjRRAkBq4HpcamQ12FxEOopNDbJ004EoLtN\nEgNdFUGMKzcxcMGFxB5+BFQVY+AFTElZOfAjzcYvjv8VhjXyvcSXzOW17rW5+Zo8YzsHdoVltMST\nkCv0OU2nMJQYwpzIcObK3ty4qC3vFCSGpOG2HH30mPkmRSZfEjjgmJd7PbeuOz9GWTG1OYF8dMEz\n7lGhCXq29qMYlANulwyQ3rkTtaoK1fH+rtpHVBcBHr1GVjrokQIdOvaNDypS4AXSPp9vx6h9G4Hx\nioaXAW1er/eJbOrgOa/XO2+ccTreBZ6/+WUeu/6p3HbZ9PGdgh29IToGowyG4yj3nguAKLMiDj23\nYFwAD185ZSUAWwfz5XVHHX4GWmSQv6/7MQCK2UBxPI29KEJKU3FapBjOcDZS0JsoZLUf7d3KnS+e\nULDvGEUa6UiylIjRgCerwuc32RAWKZ2b+rLsNthwo2Tp97RJ9rk/aST09W/kJ9M0nnz1BlrsRTRH\nA6glskJCG5CRjD1FmdzQa5Zeh6qM/S+zoU92hJwZlVEXY7Ek/50YLBTnSU6XjsmiisV8brMMn1tP\nPXXMfJMilo08zLmQIaN8T7++RMVkaAFUFPUOFOWaqc0JgHSKUMY3+INtQwQ6hqldUI3JZhp3zL6g\nxWJkurowTh+n3fR7jIh/65h9FteBiS3p0HEwYb+cAq/X+ymv1/tu/kc5yemn5hACxqMC1wEXAb8B\nqoH/AP/2er0H9kukY1y0vpbXxZ99mhejZWydfCCS5JO3vgKAGP1VaSqG5S1oJ0mjt0o7lpMWvU2Z\nS/IJ3GaZy184PEQ6mOTPL/0kd2oKKCKB2ZEkLQTKi93sFg28wFLZdthWGE6fUdaDPyxXr6aMRh1d\n/EiVHQf3BOdjtA9hUeTq+aWiGrTBQbBa8D26AbUmf88vPytr9svb+grfpMHAC0Wy0dEne7ZDufRT\ntQE/it1Oezy/Aj+kZPa4z/LuLX8D4OjhbsKqEeyluIMpzr4h73S5lw4TK3FTbCnmWx3zKbvzUXn5\nmn03oCpAWKYLsJcyEEowp7adZTOuBXyAhqIsRFGmTgQU2XbJMP5qOhaQEZyqOfvbQ2EsMtnUgWnG\n++8UtL3RjaJqBftKGj4gcqMOHR9i7G+k4P8B3V6v9yav1ztFqjQgY5N71zl5kI7B3ogCL/l8vqd8\nPl/a5/P9EiiFSZKdOt4VGg8fWye/tXOYP6xuyW0vMGzJH7QfDooCSytZff4uviuupaksT1h87B3p\nP1qjNjqee7lg3nYVlqekYTaJFIomuFj7A0lhwzSKnV9f0gcIZlZJo1wbTHDp2/38OXVdbkx3+BC+\nVv1tABKKyleWfBNteBgcLsqGd2BeLP3IR9YtpXFYEhgPMRfm24t+dB1tVhf1iQiLogGYdTYAGf8A\nalkZazrl/f/kmJ9RbB1LjhvpgAgwKzbMQPkhRNJRGvbkewQY3GmcK6YRTkWwdvsJfOObuWOqfYqh\n+G6Z1qBiAX9YvYMqT2Dy8fsBITqBF7Nb4zsF8aB8n+9GIji9S5IZjTNm7GPku0OwJ0Tfdgs18zs4\n84eLMZgNLLpgHtOO/KC0EXTo+PBif52C6UhyYBOwyev1vuD1ej+RJQXuD3yA0ev1zhy1byHw9jhj\nN43e8Hq9U2/DpmNSBHsKfbG9Vd40TXD5H9fy8LoOAK6ftp7fVElymzAawShX5hlxMtf9U7Lfp5X3\noQn47ENFnPyKpIAYkhZC2zcWzO23mbAXSzLhri2FfmJmFAu/P1REc1U3r+9uBqAiKq9ZZJU5+t2B\nQ1nvqcRtkLnwN13lLKk6HC0wjGZz4o52oyyR72v1i4txpjT6bQamv/AomExUb9tCze6dJA3/Imow\nURsPwbQTwV6GEALNP0jbrBK2D8n3N7ds/AzWQEw6GcutFShAb+0SeiO92KP5tEPZmQNQOYtIMoI1\nMKqh0De+Pu6ckyLQKiss7JLw6LLGRh08sHI7Ie4ctTV+P4KclsW7CMGndkoy4/udPujbLh3U+sN6\nqJ0/n8/+4xKOuPTQA+roqEPHwYb9cgp8Pp/m8/lW+ny+85A6qE8BPwI6vV7vL71eb9M+zo8ADwH/\nz+v12r1e79HAR4C/jzP8bmCZ1+td4fV6DcDXgH5GpMl0vGvc/8WHc6+rZlfgqSk0zr95alvB9kLj\nDqxl2R/Uj9zFCCltQ1veqM2pbSeRhuOGOhkwSXZ686HLibRKo+qcL0l2qhDYi2X++tnwcuJCGjJz\nWsOYjRScOncD8ZSZmqIhXtgmQ/aOVAaXOR/6v7/7a+yqzEcWEq4anMKMGB4mrVqwpYK4zrOQ0YwE\nO+UKXxikAXV+4QpUlwsl3kdHj1x51yXC4JIGURsKMGwV/OScsU2g9saIU1AclGTDXncdv3jjRuxZ\n/YDiFYMY3RmeXXARGhpi1P+4A3IKQp08I47jrAdkCeeRzdnPRTkJRX126vMBCMnRUNRnUJTJIwU2\nz7uIFOwciRS8f07BtlUtrL5JRneKxqmS0aFDx+Q4EKJhMbKssAjoAmYC27xe7yR9XgG4CrABfUjD\n/0Wfz7fV6/U2eL3ekNfrrQPw+Xw+4JPA7cAg0nk42+fzpSeYV8cU0JUtYRvB2T89bcwK6oG1ewq2\nK/0PQDy78p2ZQNa0H0lLr1zxf/74dXjsMQIJFVUIbmyULWprG44glpJ8gKHs39pQMucUDIRc/Fh8\nHVUT1IYSJI0q1YkIZyyWhrrKM4TTJh2QGUNxiqwylZDWTNSl+/m35SLi1ZIrYHbXS119ITDv2Y7i\nUTCUZOgKzMGSkO/PlG2w5Ljo4wBob9/Pd6Yvk/eViIBZGpHYyy9x7U/zHNgrFnxhwuc5EJOr0tLh\nDmJpI+qvHqWxLUptpzSiBrt8bnfvkI5YVU8C93e/Q+UrL0995dq/FTb8lbvFBbnnc8ysRwBQlM+j\nKFMvFRRCAEPAHBRl4pz7W/+U0R+r+8AjBendu8BkwlB/ALLO+zN/Is2Lv381t11UM/i+XEeHjv9m\n7FcXFq/XawM+BlwBHAo8CJzl8/leyR4/AngauGWiOXw+3xBw3jj797AX4dDn8z0MPLz3WB3vHusf\nyGdnzv3FGfscbyaJaXkpbPQjjEaE6beAgqJ+guFsSH9xo4wG3LbRQ+WoksKqEi9d2jpUJY1pm/yB\nLo+lsWWdAn/YxSYxH1TYna19b6zo5P61skyvzBmia7AKgyYwCCh1So7Dk0MrKLH2oCgQM5qwAmZP\nA+HHV+aubSiX/u5AqBhHUhrmkqS8BzXbjbBn41+gSpYY1iYigIwMrF95J+TbInDmjI9M+HxGIgXT\nw30M7Cpi8To/i9dlKwSsGuaqJFz0GK72JxhKDHHRAx3Ynj91atLGw3vgqW9AUjpIjdYQ2+Pw0Fd/\nOWrQAegdABADkkhff984UIljIQTpnbswNjWhGMaKP71b9LUMYNhLfMtR+tZ7fh0dOv7bsb+t2boA\nP/AH4Byfz1fA1vL5fK97vV49vP8hgNkhw/Vn3nAyFc37bg6TxAyHlcMrPeCwSIIhAIsJxmSFqcfe\nz45+lc1+Cy2emty5VUYH0bgNoyFFMp3/qjlKpFPQHxqrsd/U0MXmQRlePmLGDn7/LFREZKjcKCSp\nLmg20mCRUYMYgmLAXjyD0NoXc19otWzEKXDiSEkW+sxUH5hMKC7pg3bG/cA0ypIxvLEA9G4mvWs3\n7YFWZBGM7IEwGdqDMqpSkYzR4ZhFPXldAntjjKCjmFdMCnuCbbiDKZxLlmFsapp0zjFY+RXwPZrb\njJQvwdkX2WvQ+PoC+0aWqDhJlGDHi7tzrw9UJlgbGEAEgxiPXH5A508G/+5BHrn6iYJ9F9x8N4pa\n9Z5fS4eO/3bsr1Nwsc/ne3KyAT6f773/367jPcVQe4DWbGqgZv74P5hCCEwGhVRGrpoPM22SakSR\nNFTI8jlF+R6KYqEn20rXY4+yddBIaTKG32yjLh7h2rP+hql1DbG0B00Ufs1SNTK3PxByUx5J0u/I\nG5qykhB7WsqoLzGjdX0CgJK4zBwZsuFxv9nOglwqQUYBRKoM3t6Qm8fQIFMB3UN2HKkMaQWqBlpR\nS4pl2D6TotMix3y2e6sUZbIWk+npIejOV79+d/n3J3yeuwK7eLlTtmsuS8V4RykpcArchwdRYxq3\nb7gVgKDbhGneeNIckyDqL3AIAPxxA83VoxpTKd95FyS6oezfiZ2C1b9+acJj+4Povx8lvkrKPr8f\nlQfD3YXE2RO+vpLi+kEU9V/v+bV06Phvx/5yCnZ5vd6Cgmqv11u9VzWBjv/jGL2aUtTxjUgwliKV\nERzj3M1t6tXcMO33kNBQMgKcWZKZIg3b5j2DVGv9lDgilPcG8JttNMZD/OCdNupc9Wxc2THGIQBw\nlYSJh1WOK1nLku4wleFk7lhJUZRQ3E5DmYc1rdLwmzMCLMMsrJKGJWxw0uhZD0BD5xsAJF4cwKjl\n5yn60dcA2NXmoSyWJmZScfd2oJZkw+zR/pxTUJsIw5Ir4azbyXR3018unZTbT/4T3pKxssYjeGxn\n3lg/U1xHak9Xbrv4pEEMDg2fLW9sv/abHbleCvuNTX8jKUz8b+b7vCSkMJM/JphbI425olyPop47\n2Qz7gIwUKJOkDxylMmUwa8XU/7unOzoYuupLUj0Spv7+9wOJcGG/jPKZfaBciKLoJYg6dEwV++sU\n3AOU77WvHLj3vb0dHe8nUvF9czX9WQNdpvWx2NhCySIzRLLSuvYUYAeaSKU1wmmotEmjUrlFEhhr\nEhHsLmlsWzZoe08PCMo9QdIhQX2Tn4yq5Pognqyt5f/9W5IA60vsvN4nIwrmjMaKmntyM8wU3bgs\nQwWzmp5/I/e67LFHwfomQkDdw9KguZIahEIYsnwCwj10mh0oQlBtcsAZvwdnFalt29jd5MCdMlLl\nmDz8vCfYCoAtk+bhYi+LN8rOj22v3Yd9hrz366dLQ372o914WyJTN4rJMJs5hJdZxtXaD9AWXsZg\nNMNFy7PCSErz1ObbG2KEVFo58S3E5Od/zJXLpjx96q0NBduGuvFLHt8NIn4ZsZpxzDbOufF+3FVz\nUZQr3/Pr6NBxMGB/nYJmn8+3aa99byPli3V8SGArkiv9k685fsIx/SFJFCyL+aBiPso7fpT12VC1\nIw3UoCgGhrOGorhc/iCHgjLd4MoksRvl+Hg8H4aPZElgjy92YjWlEEB66yxqQ0l6nGbMIsUqNW90\nEukMLZ2LAKiijxnFrwMQ6PdQmS7sAnjdtKV4tsqyOrWxEfPiucDrvN2SXylaIlIvQS3P8ijCvXRa\nnJSn4pgdeYOY2rOHQJGJyuKGSUPyHaEOdgZ2ogqNP25/ju9fk6fUzDblebOpbEfFo16RJEfT4kUT\nzjkuIr0YyWsefD/5Vcpdg5Q4RkSLJo5k7A8EWR0JZf74l/dHSWUJpRN10ZwM6c7Ogm1DXd2U59gX\nut/pBEWw/LMvUOG9EdVwC4oyORdEhw4d42N//5eHvV7v3vFFD5K6rOPDAkXBVelk2rKJV6v+kAzF\nljKIsLlQtg2hvC71AYRdA9yIRIyeG2VZXEm1/ArsETLf70qnUC5dhe+pjcRT+TpxgxAo1hSOUkmQ\nMxnBtKaYfrt0HEr/P3vnHSdXWe//9znTy87szvaSTZ/0HgihBAglCCpFVAQVUVFRL2LvvdzLVbk2\nLFwV9NIVQRGkE1ooISEE0mZTd7O9zE7v5/n98Zyd2cnObmaXRPm9PO/XK6+dOXOec86czMzzfb7l\n81UK3QQBXThJfjzf5r0jvz2ws5WlloLm1b0L38YOVzUacvKt/sXPGImT798nJ6Cg3cS0gZcBcF0h\n8xQSkU6GLTaaUlEYZRS86OxGMyl4XeM3iALY1PksAkF9Ko4nl8GkO0UeuZUblwAAIABJREFUPbuW\n5HP/ld/PY/XQnPNQEc3i+epXCp6KckgMweZfkqCgDfDo6z00VupeEuVqFGXq6t9CJEA8S6EZ6VgG\nD0hjxjHFzoi5rq6i56ampnH2nBpCE/Tt6cc3fQB7RQp4g54TA4N/c8o1Cp4BrtfFhPD7/WbgPylo\noxq8yRk+HCIRTOBpKNVuosCAbhTUKENgKc5wF147ubjCjtv/h6BFTuJ1Hrli/aGuTdBT8T6oW8zG\nXxUrGdpzAtWSzPdHCOWk2mDYJifzK5W7i/aviaVJWORrjVbZ8a4rMo9UJkWlOUgorZcVWp3UDDiw\nZuMIwLJgAVLeAvq7pVegrcqB16Jgam7Gtlbmw4YjUq2xKpuCisJEddM6uSqPZIq9EUfSF5eG0ic6\nt/MfcwqdDhf94JfYhg8CkAOi6SiOA3JiNDVP0nV+/0cAGBTFBkqVS/6/TJQHUBbiaSAJyknjekVC\nXVLb4ZQPnzClUxxpFExa1vkoRHqj5DIqFbVhUK6aUt8HAwODAuVWH3wReALo8vv9B4CZyAZHU+nR\navAvoH+vnMRbV008MeWNAgZhlFQvwMB1WR7MRfnNaauAVQDUe0PEXhgAZPzd1jT2R7/HZaYhliUp\nBDVuaRTYdWm/pEn+VZBL7cbKCBcsX86tj0pNgha6qHZIF/TA/TVorTK7Xyhy/722Ci6/U7ruNbcX\nxeFAiEGymsqO3bNYRI6Y1YQvMojSUGjmE47J41TkMuCRHgUhBO5olqjbzH+s+NSE92nEKHje3Yhb\nr9jrXD2DE5vWwGHZjjpmsqCh4YrKXA7r6lUTHnMMw/tJCBvfFZ8t2lzl0g0WZWJvxtEQ4hf6o9Ll\njJlkhsGD0itxpOplueSOCB8ca+68RsqZWJxWVPUTx/VcBgb/DpQrc9wOLAU+Cdyj/12ibzf4/4BQ\nt1zxVU6buJ59MFoIHygdB4tey+7Msm1acQ+ABs8we/oLtuXSWUs53Bek0lnoZ98Qk5PiUzXT8p6C\nwJOyv1Wnnpz/S3EVAJowEWEvSYv8aH48WBAkqo4cxB2RE7vNnAN7FZadlczfo1/nUqlueLC/gwe2\nrUQLS/W9DBnMyQSKq2CwDOqiQxXZNHikwl56y1YQUB81Mc0zsepeV7QTk5bDvcnMJ3+pd/+rrYN4\noTFU2CSrGNyxHM53Xop5sp4CoXGIwnXc/olTuPzkGVx20sgE/QY9BfrXX1GuLPnqzZfdQeAJ2a/A\n0zixh2k8cp1deQVD21nHdg0htL/nH2vZY+uBMDD4d6VcTwGBQCAO/Ok4XovBcWRgn3SpV88Yf3X5\n4r4BHt8hV9BV8wQEQJzaAIf95Kar7P9zihdnrCwa01A5zEsRE7jhjOr1zLCfwKU3buKdmZnYVA3r\nqAKEDo+Ner2r38HNsl7dYwrSSQUhfbWartjC0xubUbWZVCcyLHXKBMPgs/L1KpfM8HcoYSK2Vj5y\nQ6Es0HvmWkLxNM/ueRFVseHWlQybhw+iplOozkKOw6vZCFjNzIsPg3c68Xvvpfsz1xG9YQkzosUN\noo7k5Z7N9Cf6aUnFmbMznt+uVFfnvQQvV9TSf86PoO0uXLEsjne9fcJjliTaQ9a7DIJQ67Exq87N\ntRvmoWn36OKLU/cUCJECeoClKMpYQ1HLFleOWOyTz13I7N2HNjiIbcli6p99epTw1RtHiAS5zHeQ\n6xNYdXnmmB3bwODfmXJljlXgcuBEYOQXUwFEIBD44HG6NoNjhBCC/rYB3LUunOMkjAkh+NQft+Sf\nj0jGitnnoK7/A8k/ncfWaYVik1tqPseOE0+j7sABulMucMM5087lTy91gBA4MyOpf5LXap0IRaG1\nXq6qY30edlU72GUvLoXTLEFaOpfR3azgEglqnO3EMx7iO+THbtqSPfl9eyJRnNlCiGOwppHLr38S\nu+UskmkLV0T6yagKa/c9B4BaL70Mom8nD+n5Cv7EMHhbid/xbYaq5cq+vnJ8L4EQgu8+/20ArEKj\nr85Gc7es2GhuXUyy/WnswKNV0zjBLN0gdZ5m7GeeOe4xS6JlIdZPolaGZS5aNSprX4y0sZ68tLEQ\nIcCD0C4FcqCU7kg+4lkCWPy2BZM+D0DmVZlXYl+/HsVc9vqjTPaQTcljtq7ej7fxjXpNDAwMoPxE\nw18g+xo06mOUUf8M3uTEgwkSoSQ1s8efRIZi6eINwSRCVVCafg1ArnOYmFUaFBcrDzCvpZuLV7+E\n0hWjS28klMHHXzZ3YM8KjlS3f7XehbNuC42eGIlhB7G0jedbxsapc8kaNjfL7ec4HgDAadFDH6cF\nsVRlEQIyg2b2P/susqqV/XVr0VD51R4Z+khmrFg1gU0T2FI9nHZAVh6o1dWg5Rj+wzo0RUERAoeW\nA28rmbY2BnSjoLF1Ycl7pAmNLz39hfxzu8giRn0DbGmNUFC625ctuIyf7/oNAC328TUAxqXrZUCQ\nsElDxmGVE6AQOaAN2cBocnF+IbYhtHMQ2pWAFIZSlJNL7ts3Ssl8xpqpNTDKtsvoonnmzCmNn5gg\n2bS8J2abGUV593E4h4HBvx/lmu/vBk7SOxga/H/G5ttkYxjf9PGlbEcSDAGur/kvCKfBW4licRC/\n//+I/rCT0OlyEnqfcjeiRcaYb1ams9vlwy0qiOgrt9Grdw1QEHzltO/wm2g1De4Eg/vqiFtL26O5\njJPKRIZhh4WF4WGogaFOOTGaK2VuQuw1N6HnvSzmfl6a+376K+eRNTsJZJy47AliKQc23f1dExnV\ni+DCt0P3FoaEPM75sRA4qkk+/QJaXx+DC2S1QkP1jJLX9re997F7SCY1mjWNmoE0LZ2FqlzHWy8g\n8qysonBXzoKujQDMViZpFMQH4e5LAEg0nASHwGEZMbOCyBX+5EWAhHgU+T8y4mnwoyinltw30leo\nvphqu+T0izL0M2lp53IQw2R0HQyLfT2KYvQ5MDA4FpTrKUgB+47nhRgcH4QQBB7Xk8Xqx08W6w9L\nF/jHTn2W064JQyIHzgqyBw4Q/NhXABh2yNizj2F6Z8sJ9JFcLUnFRHNFM9GkjOs6M4V4dNKsIsxZ\nuix1tA5XYzIJYkNuovokp6BRbZL5DlbbMM2HWjEJMOcETeYOANRD8tqG1SZ6ln2fxAE5SfVULqC/\nUor3tDWv54Ltg6TiNiw5jQsD8pipUYI71hUrILifQYsc74v2greVwSs/AEB4vUxUrHeWnsRvfv33\n+cf/98LjXPbDPur604gFc2nqOIRl7lyID6ABVpc0ZBbtCOOomaRRcOM8iEqFyEO2pQB4nRaEditC\n3KTvdKTAaBmIg0VPFXX8budDh2TuxwnvXUHVtPGNyfHIdnaS2rQJy8KFmOrqjj5gEgixFyG+z9BB\neQ/MtmPfddHA4N+Vco2CXwNGvc//h/TuKWTDzz5txrj7tetSsS0NHRDLomgC7HaGrr0uv8+wz4ub\nKLaZNsxWhXhG4bS+DlBgWnUrB/pl/fxlvo78GGdWQ81aeD1VQ11aTsapiJ2earlaF6hMs/dy+8ef\nYV5qLyccyDLotHCytpXplVIiN9VpRzFr/LXzG2y83Uy6R1YVbJn73jHvoy6eoTmSxqpJhcWgXe5r\nWraE/3n5x7zet5XDNpmf0JyKIjwFIafgDBleqXNNPIm3OmrZs7XQCsS0cjmKqhLufJHmwb1kFBWz\nXnkw/VAc66qV4x2qNImh/MNAr6zWWDkjhRA/AfEXABTKn2hlUiHAoSNeGd/b0LurD1e1k+WXLB53\nn4nIvLodcjnsbzlvSuMnQmgyp+PxH8nW39l0bqLdDQwMJkG54YMzgVP8fv/HGQlGSkQgEFh/7C/L\n4FgRH5Lu7WUXL8JkGX9FdVjveNha3Q97ZYa/cK4is7WgTxWqrqQ6EUR4LDgtgr64iYWxII9UT8dh\nquC3zx7A4zBTP9zPEMVeiYFclvkZuS0RdtDucuEiRgwXTrNClfezrNh+P3frLvz/tn8tPzY7ZMFa\nn6KvqY/GATlhZky2/OuNQ6/R7ZMyvefuH8Y2LUYGmeeQqK7Asfll/tb1FzZ2PMBGYHqlFCuanQgR\n21oQaOpXY9hMNrzWsdn4mVwhu/08tYK63YWJyG6Sxo7zj2cDYBMaj7U/BoA3lMHUMAnX9t7iZqRD\n0TQWk4LHsVmvOBihPE+BEM8itOtGDV0JuEFpQlFK5woITZCMpKibVzNu46yjkd4uVdEn3Sa6LGqB\ngqz0kreXzgExMDCYPOV6Cp4CfgDcqT8e/c/gTUxKzxXwTZ84O3toRJ/AHUHplYZE1n1u/nXvbdWE\nEk58DBNuqcRhFrw+YMUsZKigvU+u/E+fX0/ocLzo2AvP+DGRTIjZVXJiDQ56CJmdtCDV7la6k2zc\n8jq3La4jaVFpiB6R9AgcMq2katBHRVK61QdnFyohFh/8Kxnk9atApkMaBC0DW7Gumc/1bT/i3o4H\nCsdyeFgYG6IukyR0jwyt2L//TQ6EDuA0O0uq+wVThQZM7kgHqVE5EbYTTgAhMGcKBsbzXZvk9Wig\n1tSMOV5J0jH4+0fyTx+b9X12dobwuW3AQPG+SnkTodBuPWLLPlTTDajq58Ydk4qlEZrAXjG1XAKh\naUR/LoWR1MrJhx4mPLYQyERLqJo2iM1txdd6bM9hYPDvTFmegkAg8K3jfB0Gx4mkbhTYKmwT7jcU\nTaOi4bHGUV6WIYdsvOBZCNmvQaDiq47jWSF/hPd1wZKGtUCKVFomfZ1eJdgZlS5ngSCjqryy5aPM\niezjpE/IxDNi24GziJnMkIN7bZ203NxDTq86OKErmBfZywzJj+hBz1osaSvOVBANlYMuKbs7J/IE\nkOXpk6Zx1gt9Re+pqf8Fds+4Mp8cOJoNQ+1k538Kkn/GdeX7eeqUani9ePIfTTApPRQXzbmE4As3\nMyet0be4kYXf/hnWNWsQvz0xX4rT964/wy6Zf7BiVwLFPbHuQZ6fTIOkjOWL5R/k61uWs7jlEPv7\nZwKje0MsHXeVPxohDgEvF21TlOtK7zyKF26WY9w1UxMEErGCcWQ9ac2UjjE+jyOdlevJJFuwOCbf\npMnAwGB8yv5G+f1+r9/vv8Lv939Bf97g9/uNlN83OSOeAvtRjIK+UByfGsTUU8g6z/V/HwBTi0q4\nRZaV+eqT+dc9CRcPN8wAINCZAiHY+T+v5F9XUGRpYMTNysMzcHgTDLzq5bbIBQB0m+XMn7QMI/Qp\ndWYwyao5PwUgnjET2SYn1K2ndqCoCo5UiL1NZzJoluJHNZ372dng51Bi7Op+R/10hLXgdTg/Fso/\nnhm9jJSQfRAsCxbQG5dVCh9ecnXJ+9MTkx4Kp9lBtlMaH5kZTdhOOgkll0LpLmg81M2/BKfZSUtf\nlgpn1YTdFvNoubxBADBw+s+4bO1z3PTBm/jiBXeAkKtjRX0IRf3V0Y8HCO0z+ceK8lEU5cugvHXC\nMeGeSF7FsHHx1L7eWljmQTguvuiY9zoQ2ohY1SdIhjNYHFNvCGVgYDCWsowCv9+/HAgAXwW+oW9e\ngdQvMHgTU/AUWMfdJ5PV6A2nabH0QGdhlRf+pjQQvNd7CUblRFhll9sePeTghAWfozMqQwA9PfVU\nJbPjnsNdK7UGou0udukdt1WLDDOoWYWXmmW+wYLBOLYavYzQ6SUXMSNQiNhtVNS58doz9HkLoQN7\nOsy+mum0VjvZ0lyYgBoHt/OHky4lnJUpMB9c8mE+0L07/7ryq7sY/ozsKdBXAQ/sl5K5Z7aOleLN\n5DLcuvP/ALh99214B+T71Gboq/V9jxTt3x/vI56N4+uNo9aUKTAUPlx4rJjoCac5Za4Uajpn8XZk\np/IKFKUGRZnYwIMRN/uoxELlQyjqO45qoEQHCv//M06cmj5B5Kc/AyB78OCUxk9MF+Bl8ICLbCpL\nZcvEst0GBgaTo1xPwU+BbwcCgYXASMbVs8Da43JVBseMVPTonoL+SAoBNFgHUXZIN3n2nG/mX1cr\nfkFnt5yoPd4YkbTC89uqyTl8RDMREkPzETlHXla4FANz5Iq9Mrs3v03L2FHUNBWvFXJVK1KZvCCQ\nUBSyETNJq4eMVaNxUT3mWBhbVhomJjM4UkHiVgffumQRr9ZUsH99P+dv/hor9t9F2OHhhb7H5XEt\nLmzJIB/p3MH5mzrzrY4B9thH5QtYx7r6OyId9MULegeusHyfSos+ad51EQIYNNvoXnQp+4f3AzBr\nX1Tv2lgGQ4X7wtnX0xtKEk0eGdOPlHcsALYVPVOU8r7qI4mpp350Dap5aq75+G23AZB5ZdtR9pwc\n0tDpBhoJdct70bhoCsJQBgYG41Lut34JsiwxTyAQiABT65Ji8E8jGUmhqApW5/iegnwTJMswDCQR\ntS30Xvrb/Ot9rSv48UaZJ7BkRgfRtMqX13yFjrBUrEuFpnP6oRCnHC49aT06o5Jsq/QK7Nfkj7jF\n2Y2WdaNYIvSaZSb9rGCCaxd/OJ+8aE7F0OIqAzVmbEk7vuhBxIFh4rYqVJvgsis8qGgkLHaymgwN\nVJsGURC8uv4d8hg26ZLXIj0gNC4YOsSlgWKXdtgmz/fFE79c8vqHkoV4vlXL4RiSufzWqmrQr/VP\ntbP54IKz2Lrsvfzgxe8BUDuQxrJ06bj3vQi9lTPn/hjWfoa+cBJ/Y3HbYUX90YSHECIpVQuFADG6\nV1lpaetSxPUqFKev/DFHYjvjdAC83//elI9RmiBSMqUxr7h4tFbgBgYGk6Nco2AIKDLJ/X5/K8Xl\niQZvQlKRNDa3dcLSsrxRYAuhZAWZgUL1QPWdP+M3G/fnn0+rC6KlctgqmhlKyhW2K+pg9nAS5xFN\ndA67ZLy3w2vjQ6c/CcDvh6VSn8XVResQLOvKELOa8KSynD0YQKhZ1oVk/N6cTIJQSFsEp2/aie8X\nX0SgELf5iNtMPPXrOwFoaq2jfUBOEi3pXmof/Dv3rbsMVQGTTV7jknThPWUHCiqEAGGX/BrUOkuX\n+Q0mCkZBUypG3SvyfVorqyEiJ+7bGqSI0i07b8nvW9ufQq0qU5M/qec76N0Z48lOGrwhosk1KOr9\nKOoNKMoZEx9D/BmhfRihnYDgeQAU5VMo6r3lXQMQ0z0FTt/kcgGEppF88km0cBjFJb0tjgvOn9Qx\njo7+c6M0MrhferSalhhpTQYGx5JyjYK7gd/7/f5ZIJMMkSGF24/XhRm8cTKJDMOHQ9jcE8egRySO\nfdVy4syGpHvc+0MPtlMvyisVAthtAi2pgauWB1+TqteOROnSNY8aQVNz2MyFZL+tnXMBaOnyctbB\nEJUROXb+QILzmn5HzFRIHMvFZPXD7ENDrNkmpXlTlgo01cKgECx7XTY6is2Yy8sH5MTtN4WwLltG\nLJ3DahEoCrxnwRXU98t8AqGYyB4ewrpqFb7f3oT3B9+nX5P5DrWO0kbBaE/BeaM6Ezq8Pnj+R2x3\nFfIG0rnCe60ZSGOqL1NkKKUbBfZKcpqgNyyNKEVdg6I0oijrjnoIIbaMeiJ1ElDORFHKK4nMJDO8\n9jd5nyvqyqyY0In97vcMvvf9RG78JSIqPUZquVUXZZJNdfHEDefRua2eZDiJrcKK2WqoGRoYHEvK\nNQq+A/QCe5HFYl1IKZXrj9N1GRwDdj4kE9WO9sM5qBsFNVY5MWUjZhS3gvOyT6IMH2SwXU4UP278\nTwC8sTRt/SkiWg9CU3FG7eysdtDtKkzoBz027EkzoYoUK2bIzojbA02M9NA6dad0+yb1uLUjq9Hg\namMwXVj55UJjK2bjNrnyntNTKDPUZs2mfeAwFlOW6R17yGQ19vdFSabluXx2X76lMe5myOYwNTXi\neMtbcF/5frqindhNdry20vXuffGCKuTSHQW1RntTK3Rt5euzSpfd2VMa1hNOKPnaGEY8BTYvHYOv\n8eW33QeAyzqvrOFCRIFnSrxSfo+Ew9sKjr/J9DuI3XknoW9JlcH4HXei9Q+gOBxgn5rOwXg88PVu\n9j/n5x/fyRHsCE0YEjMwMJgaZRkFgUAgGQgEPoCUElsLzAwEApcEAoHkxCMN/pWMxF1XX7Fiwv0G\n9PBBTVJOfsnXTZgaVBSmkX34swwIB9Nr+lh7tUzw8yRUgrEkZvsA2WQNM4MZXmjx0DYqDi0UsGbM\n9LkUbrj8jwAs9UtXuz0jPRGDdnO+U+Jht5WtD2wgO1yQHe7vGZv9rpwoJwIhkgQdXh6Zv44V0z30\nRbzUekJkHg/zxM6eojHecDd0vgCApkpvgJjRyoX3vpUL730r7ZF2ZlXOKpmZn9EybO55Casqz2s5\nKL0pN14zk0pPHSLcPmbMCJ6vfRXFVOZKNu8p8OK23Vd4v2p5iXRC+0LJ7WWVQ+pEdZnqsz53Wtlj\ntOFhhj/7+cLzwUGy+/djammZ1LknPEfuOnLZ1fS1FW+P9EZLDzAwMJgyk0ovDgQCg4FA4MVAIHCk\niLrBmwwhBAdfkqva5qUTx12HwjKOPGIUZDtNqI12vvfXVk7d9VGCGQ/BWMEVrMS9HI70oKgaIuHF\nrGvojm6E1KC3Yo5bCxNDKKVQs+i3rEjKVf6e6oIRcc7O++izzcNpkYmBnb9vRNtXqGZom7mB7Pkx\nhm3SUOj0ePnwFT8m9clPc9q81xiMuKk1hdB6NXZ2FvQIABbc/9H84+yw/Mh3rG4t2ufU5tITYW+s\nl0g6jNPiREEhFJTvq37RCTg7X4JQOxYth1W10uRqyo/76WtLqbjmYyWPWYTQb94oT4FJlV+vSKIa\nKLcs8KVRj0eqOUq3RR6PREja+M6q8vMJhj56zZhtIpnEMq88D8fRECIOPEsyPDbxcdrKprEDDAwM\n3hBlKRr6/f4nS2wWAEbvgzcnuXQOkRP4plditk383zwQimAjhTMWQqgqIqNiatrAA6PcyeHEqIki\n08zhcCcAsyz1JE1yorXmCkaBIytImhRe8U7n6d0LWDd/F9963ofJksCn6xlE9LDGyR1hTjrwPNtn\nvw+XJUgurUJGxZIptHPuaGpkxYw4j74sM9v3VcsV/1/bwlwY+RGCL1DfEMbz9a/ywDbpkaicdR/3\npUwoo/oW5BJ2uhtsfDdyR9E9OG9m6aS4ZFZOlPFsgnpXA9mh19AUOGnVxXDLOqImCxnVRJ29ikhG\nrlxP3jSIr85X8nhFdG6G362BS26HVAjtsjlgvxZ7boDekJcX9/+Si1Yf3dMgxCiHnXIRivJV4Amg\nfDXB+FCcRFAah47K8t3+qeeeK7nd+a53ln2MiTkIQDwopasXnvcqVa1XkxhOsvwdU2vWZGBgMD7l\nNkQ6ssdBE3ApcPOxvRyDY0VK7x9QdRRd+Bf3DbCnP0OzOYiSyKIhJyHNVTzuR+/5Q+GJeTpdetb9\n3Fw1HXpegC1XaLsjgF26TK7TJif3jogZBHiGZF5A1GrCltXY2uDGlssR8TTjsfeRDY6dCHsb0lRk\nMwjdufV6k1Q0DMYyXPxT6Tp3P95Lxa+/SPSbDwNgrTiMsusxMNthzafguevJhs08cWYhofCSuZdy\n4ZwLMamlJ99kTk6U6VyKBSYnWlhhyGelUk8u/Hv1DADqXfW0RKz8g5dZtCOCMsdT+oaP5pX/lX//\ncrn8+56VwD5sZjgcnEmlq9xEPRkaQbkcRfm07rYfK8JUir62AQJP7mPng3vy29y1Rz9vdv8Bsvv3\no7jdiEQC67JlKC4nqadlXoP9rGO1VpD6EPFB6dlxVsdYdP78Y3RsAwODI5ly7wO/3387UFoT1uBf\nzohokc01fjJWPJXlU3+UGevVvhgM5xBZKwL4pOtE0Cv3zGqW1TP3FQY6Z9Lf3w0KpJ+LkTLJSd6a\nle7+qEXlTwtqqM7ILHSPPUEio5ATCpaUFUfSjgAiNhMIuPale3l05TfwWHoxKVnS4eKVanfVIuy+\ndpLZCoRQ6R5Hk79q3yCBbllJYLYPoCgCcimYfzHoZYWJnjRb3lkweE5pPpVK+/hlgyOeAoCZOx6k\nMpRl9zw3Kw89iwDurJfVFCc3ncLi0z/GsmYHrR0J1PeXYRSMKoEUR5SM9oYqmVl3dOVCACGkSJCi\nnFlWHD8eTND1Wg+zTpnOfZ9/sOg1m7u8jP6hj36MzE6ZgGrfcC7Vv/8d8T/9OW8UHDOEDIHFgjJh\n01lVxn01MDCYMm+km8jTwMRC6gb/MiJ9MmnMUTm+CE04UXCr1/qiKDlBLqgQXXc2BxPSXryy6i/c\n/+kfkNIKoQHFM51wRuYfuMLufAVBfUwez53REIrCgFX+gE93HiaSkZOVTS9fTJhVNEVBUxWsSbky\nrbRL70O6t9iQCXmameF7mXhGTuaRcT61te/YwHUP/hAAa0UHn/a/R77grIEhadR0HeokaS9MetM9\n08e9PwCJbEHT4BFFrlb7a6x4tvwvj1QV4v2nNp+GSYPWDrm/4ihD/GdUrwNcxfb5759aT4O3TAEh\nMZLiM7Os3V/503aeuOEZtt+3Y8xrJ121uqxjjBgEAOaZ8rwmvU2ybf2x8RIIEUYIKZkc6poDgLfp\n48fk2AYGBqUpN3xQiouB8LG6EINjy4i4S+2c8bX3o6lCr4INc7dAG+QGFZKz5Ap2XmMnV394K6oi\neLnHyuoGGZII2ZqJi34cSRuWjJWUWcWVzuEcFT4YwaTksHlNxEIq4Y4zacrJiT+sr0ZNCFzpGANA\npU3mMGSHiz+WC1c9TONwF+2ZJQDEKBZJGiHm6Gdo/6kA2Lz7aFb0SdJVh9h1P1pUpb9KGiXrWk7n\nbbPfjsU0cUOdoC7QZNVyzN4nDa2DM5yoLavZ3Cfd9g39GaIrT8HU3EyuU+ZalJVo1/Nq4fE0aRh1\nDV/CpT9bic1swuc+esmdEMOMlCIqSnkthNu3yGtse+rAmNfcta6yjjGaEaPAdsJqau77C9ZyVRyP\ngtDenn8cbJdeKF+rkVxoYHA8KTfR8MhfDxdQBXzymF+RwTEhHpIrVlfN+D/yfWHpGp/vOMSpja8B\noKVUMp79ED+LtXMCqIqc6FNZFeV3u6B6Af9rE5isYdx90uCoWFDYQxH/AAAgAElEQVTHrNcKZYAH\nPDamhZJ0eO2sniVX6KoCC+vSXJvcx1Mso9MjJzx3OkHGLK9xXrWc3LLDZoIODw+tuIIL+v7G/BqZ\nWd82JLPphZAeidMY5BnkNVzY8Bz7Q435a5hd3cDcEUeYpqEkesgM2+itly75NY0n4fcdfeK+N3AP\nAGnVxMwD0ig4NMuBsvlG6htlX4P333wAMZwgNzyM4nRS/+LzmHwTJBr2vAo186DnFfDNgXffh/C9\nH4D7tsQAhVRWK7Okb8/RdzkCocn/02C79FQsumA+zkoH7VsOUz+vtIDTaLREsSKk2T83/9hWri5D\nWeglh8rVBNuHcVU7sZVhKBkYGEydcj0F3z7ieQR4JRAI7C+1s8G/luhAjOEOWeI2kQjNd/4iDYEN\n3megR9bfaymVmKsa4lBhL/z4+51ZlJ4E3Rc/zL3/+wg1CwSuiJt6Xy89/U6WRApeh5nhFFkVOrx2\nptfIMMNf97o4VQ0S6Zflka/Wy5WxJzpEwu7lrBm/pMrRjdAgGzbTX13Nyc3Ps2CJNAgiqRr2BWX/\nrUE9Ae+9S3xUW1/igmVbaL1zN19yfCl/DV859TrYc5d8oq/2I4cddGyYCaRpqWiZ8B4OJgZ4uedl\nhlJD+W3blnlZuDPMp81ysorqXoaKUe/duubEiQ2CbbfA3z4IJ30asgmoX46omcaI82Nnp7yuL7x1\n4YTXV0Bei6KU51ZPJzJ5PYIR6ubWMPeMWax455LyjvFyQTnRsmgR1uXLy7zWydICHCYVuZLY4N1M\nW1m+EJOBgcHUKDfR8JbjfB0Gx4h/fPdxOnT3MIDdUzpZra0nwnBcrrjPsz+B8rQUOsrFTLTl5I9v\ns68wIdZqOVBM7O7LYHHKjHDvYBULvffQm/s6Z8QLUsB/ml/N6X2d3KR+h8UbZFw898JCIo8vZisU\nOf/n9e5l1oydzPbJyV9LqKApdHnrWakUSiI7I4Vug3GLDD3UrFnJF5p+DvTSc7Og62MyAXHV4j6a\nPNUQk+2eha5I+O1LT6SjSoZAmtzjTzCPH3qMn239yZjt21ZU4soKvtAl+wrscsnJ3xUr6ClU33KU\ngpytesXBlpvkX1sFsF0er6uJrQdnsXqmj0tOKFOfQIxE8MoTOUpFUkXPXTVO5pxeXi7CCIOXyVyN\nis98Gs9nPzOpsRMhxGtADYrSqHdEHAT8bL7tFQC8TUaSoYHB8abc8MHRhdeBQCDw9Bu7HIM3Qjad\nKzIIll60CNVUOivvQL9cYZ7td1LpSKF0SAPBe/IwTwzJ1fzCpsOFAa/0gM1DXySFxSknW+9gJU80\nzceaUbCPmukjNjMzxGGWuNoQyPiy9ZWCq753lByyN5mloVW2DRZCSiwDrLVvpnL6wnzWytPtH8qP\nier5CL56H5Ahuz+HOms2w6ksiprhJ5dcJnccPij/9u2i1+Sgo0oe22f3YTWVdkNH09GSBgFCgKIQ\n9tkgDj2eZnqt0gixp+Wbr334Hyjmo3ylRqoZMvpqPRVBaJ8CwKSHajK50jkTpdFFjxRvWXundUNw\n3llzqKh3s2CDf1LKg2JU6MDUMrG3ZTII8RhC+xJb7lrDq39Zy9KL5mJ1zWfp253sfkRKGTYsOHpo\nw8DA4I1RbvhgY5n7vZFqBoM3yEjbW5B95k+4Yny37kjlwbrmIMJsRwFSSSt/sr6NA0Jm5Fe7R7VC\nfrkTqhfSMRjDbu8FAXURhd/wHloSxatPVROsXmUCtwxdHAiZURIFj8X2ukKeQ1vjiVQ7fwOAouie\nAqB1SSfmcDuaMLFr4PT8/o+3OkmZVT6kHcBuOYjQhiAnSHjsZLJmHDZFJg/mMrBdyisrgztpNxVW\n0u+Zf/mY+6EJjdt23kokXTp3VtVAM5H/xvS94zZ4+b/zr1tPWoN1cRliOlq2+HnoYP6hzSL/T5xH\nEZsajWBAf1TeKjqtK006fQ5WvmvyCYG5/kIfCMeGcyc9fjyEdjcAr9y9BtDY9uc9wGnsfSqN1WUl\nHUsz8+SJK0UMDAzeOOX++lwBXAZ8ESkxNgP4T+CuQCBw53G5MoNJM9ReKHGbefJ0TJbx681HjIIK\n8Ty0yhj9a6b5/EJ8GIDlTfsYTKrsGrRSYdVYqQGrr6F3bxKTYxBn2I3PmaO+wkxjZ2EiTZjAU2HG\n33oz6GWNT7d5sepGQY/LQqce0vDEw1y19SbM6xL0VjuozybIxVUstWnMnhxDiSbu2/NNslphbK/b\ngisV492NGYT4LQC5Po29Sj8ia8fl1O3S3lGZ/cCw7p344JIPc86MDWPuR1uwjT8H7h6zXUXl5OHD\ndAsX+6q8ZKyA2U7aLA2eebul4VTxH2Xm3I4uQwREVT0jLYEffPU81s2v47rzyhPnEUKAGPn6lWcU\nRPqkh2gi/YqJyB6U5Y8Vn7oWtbK8aofyKK09MXTQCqTxTa88Zr0UDAwMxqfclf13gSsDgcBuvTnS\nbuCDwPeP36UZTJaBfTKuX1HnZv7Zcybc9/UOGRqotT/LSOfCPabCmHetfY5wWuWGrZXUKLrt2HwS\ng4lBhDlLRbCShvm1WCwmmvTV50GPlT8vqKXSaUHd1g4OPfa/XYYO2ius9DsLoYNf/PmrtHbtJrrd\nTcgiJyktbsJSLQ2Wf+z9XN4gAOlhyKlmqmNBTHU1+fbAkesjHHQkEJqNCv2cdBTL7w6pchKfVjGt\n5OTySt/WkvdJVRSuPbwdZUAeN2xT0Zy1xHWlw4Y++d6ty5aVHF/Ejrsh3AHe6fCVOKz7OuIiaRAc\nGqihN7ye/37PCpqqytQnoGPU4/KMgr49cqXfsKi8HIQjST72OCATDI8VssPjsxPuc2RypIGBwfGh\nXKOgGr3XwSiEvt3gTcJI17gLvn3OUfsdtA92U2kKMevEBByW44KiEJf2ulOE0yofWRKlRdVFjqpm\nEkpLw8MZddG8qIpQPINTj6n3uqxkTCqpEU0kh7wGU3cNAAcq7YRGXZfHGab5o514TgwzJ6G3bQ6Z\nER4zt712A7FMcRZ/r1MhYzLjrU2ibng0vz3zepYuv0yWm12jT3aDhVK9bMhEd5dc1VaVUC/sinZy\nx67bADhz2nrePvvC/GuntmfoubWe7iZpVHT57Fw8fQk/3ixFkmYc0LP/j7ZqDh6Ae/Rch9AhMNsR\np38u//Ktz62jfhLtiiWjjYLyVu1xvb+Bp75cCeViMq/JpEj7+jOnNL4kQiZuCgGquZC02bLiIDPW\nyP/PluWGPoGBwT+DcsMHTwK3+v3+zwEHkNJpP9S3G7xJCPdGUFRlYgGaWB8iGWIo6qDJKhMGlR2y\nZO9RCrF7jz1BT1rl3BlRyGpgryJrrWQ4GcINWJM2shUeIolUvudB2C4/Th86fTbiQQWhr9pTERuK\nJYstpzHokJ6Ct21/GPdiufpTbXK80CCxz8G+3KnYr6hFu7+fhE0aBi/WCzJm6U3wzs5g88rJae/t\n03BlexmyuyABNW7ds3BYVjMIdwu9v9EIf306kKDKPrZccEvPy/nH16z4BD986XoAVtatoq3nOb73\nmYXEXKW/KtNGFAyP5tp+alRV79v0CgSC+U1P7lrEx8+ZnFEgtOv0c1+HopRn38eDCRSTgs1dnoTy\nkeQ6DmNqbCxPsbFMBJsAyCQ+i5bN0Lp6P6d8ZCO2ihOwOjbQu7ufyhaj8sDA4J9BuZ6CjwE2YBeQ\n1P869O0GbwLSiQy9u/pxVTtRzeP8twoBP27goZ9fQzxtp6ZJz4TvSZEVKr2jytpaqgepsucwKcBQ\nCpJBfvDQk+QUOZHbknaGbRXYs1r+Q3TmgWHWnPw4FyxyyDyFtbKKIR2zk82acWU0UmYVazbNh/o2\nY64oTrrLJaQR0W+dx9w7f03UVlj9ttXW5R+P1k9wfUtO6H2KHFttScEfz4IeGQ6IBaoAhVCFGZNi\nwmMtnlxS2SRPdkjb9sazf8U1j3yEzT3SoNjat4XOBjt94/QgqO9J0tSTKvnaGEbkkpe8F1Z8iN5Q\ngg/e9AgAtz9/KvG0nTpP+UaBEGnyzjtlVZljBKGuMJ6GChR18vH54Be/TK67G/OCY9eQSAgNxCbA\nR2JYNnFyVMZxVUex2GXuR/382ikbMQYGBpOjXJ2CPuBcv9/fjK4oEggEOo8yzOCfyNBBueqsmV06\nopPM5Lj5/qe5UNSzHSmMc8YCXfs+myOoyhW019TPuWtfwmbOUuOQ071yexubfNN58KUsC+oCDCE9\nBa9ui+HOyNCBAA4t3E2ly4ZIvAhXFFTuUlEbT0/z4kukGbabmZM6QN3Z21BNxROq2ZUDFJJWD5E+\nMyZfwbhJjyqtrPOERr0x+ad94BJQofqZz4JacGCldxwGnITsOSptlahHrKivf+k/2TcsSyLdVjeD\nyUEmwqZlSanyazNrvzSQfL/59YRj0HJwcCNY3XDRLQBc8/sX+cWVsn1zRO8HUVsxmYnvoP73TBRl\nwUQ75knH0qSiaern1x195xLEb70VAFNNzZTGl6YPGATlHBLD8rPkqBypoplaiMPAwGDqTLb3gQAU\nwyB485EMydmxYUHpH/y7nj/EH15N8wduyW9bN38n6e0pbCpE0EMOTdv49HrpznWYBewOg+bmvxsW\nQz80WDoYQsGVEmx/sQ93hXTp5xQIrNjBGssaqPhG0blTMRs11jRt1TLD/CuO/0HVPQ5CaiIBEG+T\nLmlXQwV/r76AmXHZcXFLY/HkMLO2r+j5L9Z9gJw+UfsUaRxpSMXBDtWNxyIYUOPMsY8VLNrSW1Dn\nC6VCxS/q2gQj+NJJbt7zBP0f2cJPAndx8X0y899+ztmFMbE+2PQj2Z2xfhmE2mHBJRDvh7lvBd0o\naaqK0eCV5xuOu/jmJUtY0Fye1oC8tCcAUJRylQ8hGZZGmN07+VV3tr09/7jiU9dOevz4jJRUNvDa\n/bLJktMwCgwM/mWUK15UA9wOnI1cmzn9fv+7gVMDgcB/HMfrMyiT6ICcZMdTMOwcDI3Z5rGlSGw8\nD7uyg1BOTki2qgB9cZU6p4Zjkwfl+S3026pIhGcDoNmSgIM9nkr22F3M0hPX0iYVzZzlnXNfGHMe\nLaeyZCDBlsYK3ERZqLQVXkuqJPY7cC2IMfy0DBfUW3vYX7WMmQdDVIZfZ9/C4qS2JdPai54/N+vE\n/ONqgiTnnM/HrFmCJjOMmjMb3Y2Mx8r6VfxF73OQ54g8gXOCHTBjPTX1y1m99XHc8RydJ82h2Tbq\nnj/2JXj1luLjPP9j+ddZWGHXVhRaMm9YOo+VM8tPpBMiA3o55mRyfUfaadsn5ZGQDF55FQAVn/8c\nZr0b4rFBGgUK1fnOntNWjbRaeSP92gwMDKZCud+6nwE9QCOwW9/2JPC943FRBuUhhOCZX72As8pB\nx9YuUKBmVmnd/a5DbUBhJbpmdgA1FMMx9EewwAumtZhJo6o5ahyCrDYH63Oybj+TSxM69BYAVCHz\nALZ5pqFoKmu65Q952qTwUbWdmfoqdFuvhfv2u5n7wOmkrWDOgKYqNNJbdF3JDhuhTZWENkmDIKeo\n+DbeiuscqcO/4sylfNfRy39Ga7nj4z+kM1hFY2Wh1j/o8CC8AxCTk6qvZT57zv4ewee+NuYerG06\nuej5ULIg43z5/Cv43FNjJXvXP9GPqFGobQjynr422PBx4nfcyYmf/ykATf4j4vm928YcI69eaC/k\nSCQzhTDFkmnnjR0zEbqXAAClfGNi50MBeRmTNApEOk02IMc633HJpMYe/eCyJFNotYQ6+6mZXY2n\n/mqE+DvltoI2MDA4dpRrFJwFzAoEAjG/3w/IPAO/3z+14KTBMSHYEcpLwAK0ntCCb/rYkjuA3kSx\nkNF/nPMPlGe6MVuku30zyzFb4iyuTqMqAlUp5AS8UNEACVjAHkImO6a0BVdKoSKdye+TsmZ4i3sQ\nQRM818O3B5ezZNMqEm2thO0memrkRPQN5QYAEgfsZFQ7sS3FE5RJaFhSWbx6W+dp7zqPPb1hGrc+\nRa0nTK2nIJQ08MkQ8UY3vrn3cOZBDV+oAl/nQ2xLfLbkPah3NhQ9f+TgwwC0VLSUNAgA3NEs72uw\nY+3V73PVHEI3fCv/urOm+JhEC90iUS2gFe4RDmmw9QwnMKnSc6MoX8Rimlxmvcjb5S6gvGZE8eEE\ngSdkx8qJOmeWIrNbns/1vvdinlZmT4YyEXpZZWSgjlymF0+DG0W9AIWxqpMGBgbHn3KrDzIU97HB\n7/d7geHSuxv8MziyuU2dv3QCmBCCvpSdebTxrUvu4uozHmVWXR/aq4Xx3TkfmMMsqZFiPEqmIE5z\nS6XsTniW7Sn6bTbsCTsXBgZZ3R3N79Pe2o9okjkD2uZ+1JxKa5sMOQhVIaiXK85VZWPN8EseTIkU\nWtQMzmKt/5C9kgWDeutnn4NQPIPLlizap//cQTJ/SzKtaS6fU71cG3mI96t/gtO+ysBQoXnnnLbC\nNU73FsvkvtT9IgDv9L97zD07r2YlAG7SxV0AZ52NNlhY5Vt9o+65lisYBRf8Cr6Wgg9vLrzeuJJb\nnz3ARf/zNF7niBjPFFQBhRSeUtR7UJTy7Pqu7QVjZfrqyfUsyB2S4Rrz7NmTGlcWIgCoPP4jvc+G\noVpoYPAvpVyj4GngG0dsuw5Dp+BfSl+gv+h566rSnf/+6/6dpIQZH8Ocu3g7V63biNAEJlOhV0KY\nCrBGaXDpZYJR+dHYO2cDybh0UWvuPtIWjbrDjdhzgrp4YRU8oDRChQUyGvEkLHpxZeECNNhXZacW\neb3pAQvZYQtaRp7D0VA84T92yin5x7YKG13DCVw2acB0D59IaujdZHfL67RPn8lpna8UPsinfIme\njX8G4Ht/3cqG56QMca2jFotaUFM8FD7EvuG9LK5eQl+8OKTxu7U/56EBWdLYGE0UygmveR0tnYNM\noZRS9Yxa5af1XhH+t8Oqj8rHTatIvuV3/Gbab7l2Ux2/eFS64Sud+r1XyjcKhOhGiE1AJ2BnMvkE\ngwdkqOT8b56NdZISxyOegmNtFAiRQ0YjZzKwV3qsWpaPn/dhYGBw/Ck3fPB54HG/33854Pb7/XuQ\nv0prj9uVGRyVF/9QkOZd9Z5l1MwqPUn8dYtchfUqdfmM+uyDDkYCCglhI4cJuyVGvnw9JCfhAyKN\nSFbwOeVGHk8vAdppDcwacw6nOQqNLtLhHIM+L62bC/tErSaEonBx+mFwQHhPJQ3v7ya4UYY6TBUF\nFbtnTqmmvbWJJbquj2pSefVQkMUt8npqPGfw8D27GInke656C/xJqgty9RawuggqIaCGinaNuT+9\nBc19mJObCobG3bvv5LZdsrxOQ8s/HuHWZ36U/2bMt88vrP69rWS270IRBXFPtXZU576Rvgb24on+\nk9sW8PrhELIVsKSxcsRLMwmjQLsSGMmDmDupXgDtWzoxWU3UzZ98p8H0y7JCw7pyxaTHTsxLQBKU\nBTiqHCSCCeadNbE8t4GBwfGlXE9BEFgGfBr4GrLnwaJAINB1vC7MYGK0bMHlfvbn15XV8e5qx526\ne3Ya2WfkKl8Ae5A/xIopydyqLGCCNings4UM58cCvF08QsohV/SWuJsOT2HVnVM01rTKFXA8pRLd\nUAg9PDbdS2VaTvqLErsAeOSUC1FUQeqwjVwNaCn5MczUVHHnu5sRcVmaaNFLGEPxDI2V0kqwmn30\nd0tdgYNvOwFTUHfPO2uhUU5ah+rceLMppt3xPPYlSzhv5lvw2OSKXhPFRkB/vLi8scXdQr+eLHjS\nC0O43/4B6HgWVDNYXGR37y7a37p0SeHJz3RDyF5cWigNggJXrXuC85eN9GYonQNSmkJiJEoZHRl1\ntJxGqCuMr7USq8Ny9AGjENks6Vdewez3H+MGSCDEPwBQmEUmnqFmls9oemRg8C/mqEaB3++3IH+N\nRCAQ+EsgELg+EAj8MRAIRI829ojj+Px+/71+vz/q9/sP+v3+95Qx5nG/36/5/X6jJfMRDLUXJHJn\nnTJjwh/TapeZFjo5vUqq/2kDXuwWufpTgBeFdPU31rdR58yBmIPyys0IeyWb7W6Wpdt48uDVpO0p\nzGkLd82vpy/f2EjQXZNhYaOMO7/SJjj4kpwcd9Q4mDOcJG6R/33V+qSmqGGSh+ygKaTmZciG5bL8\n4d9chVAVLClpDKz+6Boy2RyJTI7FLfL4sYyfOX+V17583cXw2BflZbxP9kJ49eAmBh12KtMZTPVj\ns9cT2UTR8/5EcQjmO/Pfx+vNVZgzGu+9rQPL/GmQjkrhIUUh1yeNiDs/cyKNe3YVJsrR3Q9HlR7m\ntLEtQ64+4/FRz8vTJpBNgwooZSYYAmy753W0rIZ3EjoII2T370fEYlhXlH++shEyhKJp55NNZbE4\nJ2ewGBgYHHuOOtkGAoEMIGXh3hg3IjUO6pCtmH/l9/vHVV7x+/1XIJ24R/6qGgCpiEwIXH7pkgn3\n6wnGGIxlSWGTQtVAZkc3JkfB09BBE+7qncyq0d3bsemQiROb+1YyiokmMUBnZBFJZwIl7SBrUhnp\nWyNQeKqpnvVNMpQxqz5L952yh0JOUcgBj8ySq2GPGkUTKtUcIt0r49pVzXHSYTNKYwMZqwxo1KrS\nxV1V5WDH4RBVrijLpx9E07zc9dUPMadNxu5NO35SeKNVMt79za0/AOCQs7TwTSon3fYmZWxb6XNn\nbCA0ID0B3lCG+hu/hKVK//hVz0dks0R+LKsn3M3TUd2jzjF8CFFpRbS6oXJGYbPeQdKkx2U8jmKj\nRFHKnAj1pkESFZSzyhqWjqd5+Xbp+XD5Jt+vYKRVsnnW2JDRGycIqGSS8j5aDaPAwOBfTrkr8K8C\nN/n9/ikVDvv9fhdwCfD1QCAQDwQCzwF/Bd43zv5eZGLjFxjp62tQRL/eJtk5TpvdSEKGBx6852YA\nWjkMG2Q5WWZzW9G+IeEF2yAr6vTKg7Cc8Qdts3GHfezYcwXtM3rJ2NOocQ/vWNSATQ9f5BSNp0wX\nQbMLEc8yfUbhh73HZSFlVmmim0XsxmFJkMxW4LV2k4vLSbnSEoeoid0VUR49JHsB2EMZNKCuxcvH\nbt7Munk7qbAn6d1v4rzbC+57S+ZV+aBuCVhlmd0svdviCZnS9yWVlUaBEGNtzdNaTuenbQ8AcPqu\nXqxrz4CY7klYcDHJJwp5tb6mI5LuQocQl89FvM+PaMmiaTcixAGGYvJ8cxsqAHj3mlEtnZVzSl5j\nKYR4UA5Rf46iPoiilNcn4fC27vzjqcTrcx2yZNB0jEsRJT2Aj0xMJm5anZNLgDQwMDj2lJtoeIf+\n99IRnQIdEQgExi65xuIHsoFAYO+oba8CZ4yz/w+AX8IRSjcGefY+JcvuSq2ufvvkXn67cR/ffscS\nbuqQegNfbfpfqNVd3cNZcMBeu4c5yTBBvJhsnTS59az6wShZzcpDN82gflWYZxcNc2ChbkhEa/HN\nduANyvwCp21IdkOssrH94HQ27l6EWVVIWFTWHxpm6bw/cqpJTqaaXWFYVNIkhsjGHORMhXyCvlo5\nIXjSlbiDSYZcFix6GWOlXr4XurGjyNlucuvejrfeJP9mk9Rn4uzDy0fmf7jkfRvxFGjFFbaoAr7+\n7FdAv53TZiyBukXw2xPkBlcd2e2yzv9ws53aGUf0GwgdgjnSFSO8N4IAIW5mdi2cv+wdeJwX09YT\n5Kp1G/NDFOW7Ja/xSIQIAZuA+ShK+bm9h7d18dh/PwXA6suXU9kyhfDBAakuaJ7eOumxEyHEAPLr\nfWq+nbOj8th1XjQwMJgaE3oK/H7/A/rD9fq/d4x6vB4palQObiB8xLYIUFHinKuRVQ0/L/PY/57o\nOQQz1479sf7tRjl5ffOe1/Lbat87qnQuLL0Iqh6ZCeGhwjXEvCrdaNi7le295zFcM8T+xXsKBgGg\n9S5i++aOwrEsaaiRP+Z3vnwyd710Cs+3VBCymaiydXOqs7C6Vk0CnznItFQULWbC6sqSi8iJf6hW\nHkMdkFoCpkYPQd31/u6TZC+GmrZC6WLtA7ok8axzoWUNd+66nQvvv5RN3kYcmSy++WeUvG2xEXXB\nI9CO8Ectf/9/yV7OWf2c1fPRgjJv4K53NY9twTx8CKIZSvG1C+9hZo2Nb11cEA1SlK+VrTEA3UAO\nlMnF9fc9czD/eMaaqa30k09uBJPpOIQPpMdHURYRG5K5Bc4phDcMDAyOLUf7VVoHEAgENgL4/f6h\nQCBQWkd3YqLAkbJtXqRhkEdPKPwlcF0gENBGeSWMEMIRZFNZHJV2LPajx2HXshmTXQWmAR0czlXz\nwdwt/CF7FRAhrLp45MI2LCZ99Xz4AL2xU9h67qai4yx/eg1bzG7iQ4W4uM0ZgUq5yn9qp8yID9vM\nTA+n8TXtGnMtIgdCU9ASKtb6NLmodDTNXbSOh9mJbVh6NhbNrdH1CZL5mv5cn7y+xte3oyZ1ffxq\n6RK/Y/ft+XOsC+cwW8dK+WpC4zubvlm0TdEEokQbYW/7U9C0urChaTVa8F4AYi5zvpoh/77C7WAf\n7TSbT0ERHFbP+j2N3n/oJ30nKBeOOef4jBgyk2wQNOptuWsnp2IIMsSS6+rCsnhRsR7DsUCMlGc2\n0N8m+x9UTcGTYWBgcGyZbFb/VCfnAGD2+/2jg5rLgNeP2M8DrALu8vv93chCZoDDfr//FAwAWWIW\nG4jhqh77Q5/JFrvFl/E6//WBh4BmUGTZ4sYG2UDImrEQFm4WtXby2p/PBSCWUbiqaQmPLYqSdBUn\nxVnSVqJWE55RSoopRxixqIrRIfqRh7WuA0Xjw70Oeu5ooO/uOhAKJlcun1tw0rK38q55l1EjpHJ2\nfWMF3cMJrj33Qf19mdF6NILnn4JaVQVDeiTKN5cjsVhKT4B7hnaTzBULJY0YBIt2hPnYrwvXa7rv\n/fBLPQ923TdANaH1yWhWxG2mwnrEJBneCWYVsKEon0dRf4Oi3stARK7Q8wYBoCjvmFzpnZAVD8ok\njYK+gN6BUAHLJEsRAekZSadRPcdjspbrgaEOG6/euwOT1R350L8AACAASURBVET9FDQUDAwMji3/\nlFK/QCAQA/4CfMfv9zv9fv+pwNuA/ztiv2Fk06Vl+r/z9ZdWUjAQ/u2JDcTJZTS8TWOiLxwaLHaP\nN1ojWFozQDWIIQilcJDERJYWummnmRpbnL42udq/Y/cJBC029voPjzm2tcnPl8+Zy7yewjmqrT0w\n00NwsDBJBu1msgrU2w8VjU++bkeLmchFpYMqPWAhsk2+B0dzK+LQaoY6pCFS6XMSS+7lbStk+WF/\nl5zoXXPmyYMN6SEN31w6wqPCGYBmLp2E93zn80XPrWohsc2W0lj6ephrf7aPL23eXrSfqPbTHe0m\n09ZGrMJKrrIC3+jwwfAhxHkjxtjJKOq7URQXijKNv75y5RFX0QRMThlQiP/H3nvHyVXX+//Pz5le\ndmZ7S3az6YUkEBICCSWRXqVJE8GCoqhXRLno9aJesV71XuSqKKhUBVFBFJEOAZKQkEJ62dTdZHub\n2Z0+c87n98dnds7O7iwmS0t+3/N6PHhw5pzP+Zyyk3m/P+/36/16f1P9n8Kpj0Lo7xigrzmEq8jF\nZx6/bkz1/9GHHgIgtWnTvxh5+JDydQA2PK7+3jPOmmoRDS1YOALwr9IHzmnTpg3KGwvAPeyzbGxs\nvOMQr/V54D6gE9Uv9XONjY3bp02bVg9sBWY2NjYebGxszKnJTJs2zYtaeHY0NjYahSb9fxHxsFrt\n+kpHVonu7cyvZ7e5fICOEsnZh/aLrfRyKnPYjkNk2G/U4xEZPNke9j0d5kq6oVewuvmLCFuchozO\nbXdcymNfeDJvfhEwQBPs39SQ22dogrgDquytZKQNu9AJrw4g4vk+qB525EJPelEpsXueZFAc2VPs\nxq2/lRu7f3M/E4GKmdkRQyIFe0JD+auwZPyJBd/bm21mW2dfJsXCqrm80qMMXmKyAUIyozFC5bEd\nSq8zizciB/nvFz7DL9ra6Km0MTk4GU0MeZaOjTAl+7cY1rVwy4HxDCTcFLkTID6JEJ86ZAMtZTNg\nOh9CnHZI5wGs/6N6rmMvPQZRID1yKDD6lBaG/8bP/Mux0vgbiCqEOOkQZ1fOXqRTxZVOvP74txts\nwYKF9wn/yil4AxjazH71kM8CZbAPySlobGzsAy4tsL+ZAoTD7LH9wKFUN/w/g8RAkpd++hoATv/I\nldXavSpXO442Wqjh2PKW7BE/SLV9Oq/zVduvAWinAhG14wmoFVuySYNsFHfp5gCrgyB1D9cF3HQ2\ndiGd6isTtwk0YNexxwBN9Hbnh5h3VQnsQudVuYgJDx7EkdB5u+zTvtb8VbC3xEu6XZUD/m23n/hj\nISYCzknZVXbPLhA2KG4gHlZRg7mRbr65fy3OW35X8Br9KZPCcmPrNk6qOjXXvOPWA29RfH2aTI8d\nR6nZ24A5H+OBvq04UgZaMsWAv4jJxfkrfRky0w5C5EcGeqMpbn74Ju67sR0hbjjkUkIpe5HGFSiH\nDhAfQYiZb3tO954e+jsiTFo8gcZXFNl0sIJjLDB6lVPgvWzEP9th97obKb8LEoRt7WFdo789RVGV\nH7tr7PdpwYKFdw9v+y+xsbFx6ft0HxYOES/8aBkD2WjAoIDRUDT3xNAweEj7AuuZy+IFnagoQRqi\nCTJSY562NTd+LScz9fki3Fftoieu8VaF0vk/5akzubtS5eurIikMKXjyNpUXNwCPLonZNW4+X+X8\nE1p+FCASUBGHor4IjoTBcIdAOA1kSp1Ts2UT//bd1zk3e0yWegjU+JFtKif+QrObSzrVs9onTIBU\nFDo3QckksDnY26kIfVd17sZWNAf8VQXfXSKrZlidjLI03ArNy/nyn/YRtdkp++hFsP0v2MZl32n9\naXDe/0HVXORzN1AUUY5C1G9jRtkQ45zsh9f/HRbMhdQChCefh9sbSeJx1qNp1xa8p9FxkJxDAIhc\nt4fCkFLyxFdVsdBF3z8nt7/hxLGVEuqdncSfeAIAW3X1246Vxt1D7iOFEKOnAaTcjTRU5CEVP5l4\nKGE1QbJg4QiCJR98lKFtqyndUD1zJDGrL5oiqMXwiTinlG1ATB1cwdsRDzfSN6wBT+fMZ4lXtOAq\nivHpFypz+/2hIJGswqAuRF7r3cEvTXPAZPjv2KeMj5cIXmL83qW6BFZ3dPL8LDOcX3V1O8VL+9Cz\ndiP2matI+orwplV2aFeJmx2nT+LFrR0EvWpl35fQmNrvRSsvRysqgq5tSnp4kqqIfb7tZQDK0gm0\npbcWfG/dsS70rJGdlMhWxza9yvTNUU7oKQHPsB4Esy6HKkXMLHMW871vqUqKrnIXJ9UM0QpoewuC\n2Ydx5pMedUMSiqUpLRDR+dfIl19GFHZ0APavbmbTk6aj99R/PgfAcZfPxld2+EKkRiRC+zzTCRHO\nf3X/7UO2376bujS+zyDJsL9NlSAGat/lygYLFiyMGVbM7ijCcBW+hpPqRxxv6YtRr0WRmhN50zFD\njgpEb5J+qqjI9iB4q2QeulNnzZmv05kyV/L2qJ8dpX6kEEzviTG1N5+xr6NyOm+O86HrGjabwd59\n46Ea6rs1PlZxV25sps3OulM8nL0NPFNj2IM6tkCM3tdL2DfBy7TbbqN7IIknWzWxP+jmwK5u3tjV\nzW9vGCClC6bbrsLZ9m3s87Jd+mJZgxmo5/7N9+WuVZ6OI0oKr4xfajb7DVQmFX8ivkdDpjSEzwfr\nf5N/Qtl00kaa5QdfZ/bTpsGdevaV2LQhGa1YZ64kU4j81tXhWArdkJQeZqtiAORw41pbcNgjn3mc\nSFdhAmLZxLFUD0N6u1lKWXTLlw/hjCGNmgihlMxHQsplgKmd0d9+AhAlWGM5BRYsHCmwnIKjCKEh\n3fY+8cjVIwhrf117kIwuOUgpDK8r7x4sa1P4MZ+gJVYEqNxzU9p0OCKpGlaPCxBIZFjUMoA2TBFY\n1wRJTXBe4BVsNoNtr81gQ7UqlwsmM5QJZSTS0k5in5NT61R1gKdBhe/XZ6ZQrcfpL3ZQ5k7yg+de\nwJdShnOwedK06lamVLXTm9BYanODrmOf2KBuYNAp8Jbz5G4V4l7Y34FDSigqbDx39pqGrjIdRxrQ\n+5xqNS1C+aWTOP1QPY/7N/+O5ev/yg8f3ZY7tPTSW/LHRjuhOBsxEflh8JezUZ2RTZEOBbEh2w0I\nUT5ihJ7WR3UIoLCw1aHA6DajFEVfueVtRoKUaVQPg0F0ogRMC4w1hkRxxKdofDmAcgoKUoosWLDw\nAcBKHxxF2LVMSRvXzqkuWL5194uqfXEKB2iD+WgXiLMQj/8FAB9RMlJjj5xA2pYZMQfR8fQfOB27\nLpnUF885BPoktepcU+1Dk5KYQ+PKkmcBWLXXNALlsQxtUoW6v9b9LTJuOOXlPeCQ2MaraMCqCqWO\nlywPEop8k6c3lFMZS4PNIOS2UxUI8cCNv8Rp1zk4YKfhgHJonCdkJYd7lSOjuyuxZb/CNx/I9kEY\nxSnY1deY265PRIg1mmH14oVDSie/qcOtneCrYGPXRqqHVGNUrVyOcAyr9492IgfTB+RHCh5eoZyN\n+gJ6Ev8KMusUCO3/ENqfCo5p2dg2Yl/VdJVSOv+/zkSzje2ft96unJmSu3+J0EbOIaWBlIOOVAsq\ndpSNSsiRglWFkAh/koNvtYEYe0TDggUL7z4sp+AowoF1qnpg0Q0nFDw+P/vjepf2DcSAWr0J7Zdo\n2g/BUAQ6r4jSQg0SQSTYj2YI3Daz2rNj16VIw8lHdnRTP4TI+ESlh/uOrcKbMbBLiNk12iYoj+Hl\ndpVLL42nqYylKREq9O0MJwlGsgTBQAZdOEn32TnrHlVCKKsr6BrooSSepjyewT+xl7rKLqZWm8Zu\nV8hBoD/baXB81ui2q65/B35wLzoG8/f34DcyMOV8cBSWyh0qbzxzxhUYMfOrb/NlHSh3iZKPzuoc\nFLuClPaqaz/ysQZFchwxcUcufaAkNkx4spyMz5x++I2IzEhBMSJb/hjpivL6r1YRy8oC711hOjPC\nJrj8zgv58I/O5cYnr2f8cYWdo0OB3qbev622MAFQynuRxhUYxveRxkeyN6B4I5JWpOxHGs8hZQLD\n+A7S+AtySDpEaC/SuVNFI467bGy8BwsWLLw3sNIHRwn0tE5vc4jyyWWUNZQUHNMbSWEjwwKyq2Yc\nGJk5bHhiI/NSBtJrpyiW4C3qkJ4ewuV9VNnhk/PC/GhNCdfV9fHTDTA7uR9vxkOX1055HDwn1jEQ\nV8bxmG6VAih1dEBlOWk9zt5UCcXxDANOnc1zuriYZrplCVExZIUsQZcO+p4owpftVBg7+Tg6w61U\nR1XPgOPO2EjMXUlvxFTu29EZ5II+lTbRyrIh9M5N9ATreE1rAcZRXhRV3LUpJut+KMLJMLpUhr8+\nOoCccz1G6tHcceGQdNvdFN24Dlfeef2M61fRlEsWFW6wJEt3w2RF5hRDnndDUx/7u6KU+Jy4HWOp\nqh10CkyDuelvW9n+XCPbn2skOC5AuEURJgM1RVz6k/Nx+UdKO48FOadgtKoDmY1cyL/mdgmORfIM\nyKeQciXQk5O2lDwF8kfZgecgRDEdjSraUzqh8HfZggULHwysSMFRgnDbANKQlE8a/Ue0I5ygwhHH\nJgyMa6YAaXa9upd1j24kE9Z5akC16m3z2uicqn6Ul4yPc2JNknvO7GLRXlUCWJTONkzK/qjfP5CV\nOx5CdDzJ8QZF+OgIBwFBWTxN2ubmNNvrVIsu9skJLN1tKgjKjMAm0siM+ZWrOa6Knz5zBoGkMrxl\nk7poKO+iqlilC7b3OAg+LYjep9o/2yorIBGiJd7Dp+rn8PilKnIwO5rV0a8pXLa3u89s6HTx37ro\nPP9KIhvNPLawwSsl43i5b1veeaFkiJqkijxMmJQlOb76HbhDgx/4oH0jcuHgCji/quN32aZU9WNd\nBctBRn9Zblek2+QZDDoEAFf+/OJ3zSEA0A8eBE0b4RRIGUPKNvL5DgBLQJw75HMPo6OSUEs/G59Q\n5E130bt33xYsWHjnsCIFRwnCLWq1HBxXWIe+M5ygsz/BAk8vpIB6P+Aj2h1jQnAdu7R6YlL9AO+o\nUiv1ueVJrpmr5q306qw8OAMAIx4EJE5dIoQgbleG3D6EMNc54SIWex+mKazuZ3DMldrfAajubqN2\nv0lY0xwGHkcEss2P03ZBlbcfT7gsF33wVYU5vSgnaMkDb/r58qPrzDkqKmDXP3miIr9j36REP8y5\nFsYXVtNb074mtz1jZV4PLrwzVFphs7+MjRvuZnrJdPb372dx7ckMpPopjqpn1srK4JkvwppsTX4m\nDvfOg8/NgjI3QvtD3ry7O9R1vnP53IL39HZQVSaNQCVCmM5LMpIcMbZ6ZiWa/d3x7aVhMPC/d5J6\ncw222toR/AlpfAtYlrdPaD9FiKXq+CFcQ1BH1+7u3GerM6IFC0cWrEjBUYLQQbUyLB7FKbjrOcWu\nHydakU4N7BrJga+w7o8bqQ9uZJecyDWakije5VGr2qunm5LIA/e1sENXq2Ff1ElSg6KUTtQmkNkq\nB1/a5B74zuxBs0l++eJ5AIRL80voig9GyQyJmpec0Zd3XNcEdf5K5uxRUQLptNGbzifkORrzxZmE\nkYanbmCvx6ysmB3pofpDP4RLHwYx8uvcnwzz7D4lsGTLGCM0FV1LB+i3OdjoV6mJW165mbvW3clV\nT6lcedGAuj9bqsl0CIbDCCKG6AhsORjKtX2uCh6agmEe5D+AHhD53JHkQBKnz8nJNy7M7Tv9K6cc\n/vyFLmkYdF1wIQN3/gwYwt/Iw7Jhn8tzDgGA0H425JgZARDiC+ZusZB0TEWiZp033UofWLBwhMFy\nCo4ShFrVir543Mia7ta+GC9ly98+ov0dPCoA9MpdKnRd5m0hLM3zBuxO/nxhO1URcxV617L/YVnz\ncQCUJDJEnDa8Q4yoM2Nw+U4VFm4o3YSjah2aTUc3slGEooM4MY34wFtF2LP8veDiEI6STC77IAIC\n28/OJp1+AF/SQAp4+cTx3P6Xq3Pnb9zv5dIXzflKf/NL+L4bGe2kxak4B7fvWMv3963GHqwb9b01\n9jUis2vYmduzUQKnk9T9d/Kjr03BK3UipaMTAf39KUQggOh+a8QxaRdQ5gYt37B1hs2KhbE0IpKo\nHg0CUyRJT+v0NoVw+Z1MP2MKExfVc8pNJ+GvOMx2yqMgvXUr6U2mhoDwFyoTzE8nCO3eYcdPRojb\n1f+13yO0ZxHi30F8HMR1IM5GiPGk4sopqJ9fyPGwYMHCBwkrfXCUIHSwH82uUVQ10gi09pktjifF\nNkGVDyG+Qd+BMCXuA1R699BVNhF64PHySfxs6WXYtbvR7MpYRuIuqqIZXq9zYDMkRUnd9Bazlvy4\nDpO9L4srmVL8Oraol1jSiSetkxYu/NkufvE97jzugGt8khZ9FjWZ7djGaVS+UQG8xZu7JyvRomon\nfWmdSEcNyw64eavFydVXmjyAmh3b0N74DgBRzU7SZmPuzhAnpLOphslD89n5GFp10FGtVu2lv76b\nl6ekKW2PQQhqJ55BpYjQGevMO9eV1PG19mGfMhW2Pa52zr8RzvwxPHoRVAyW35nRGyklT29oBeD2\nS2aPel9vC5kVAxKnA5CMpHjwY39UhwyJ3WXnrK8tHdvco2Cw+dEgij57o3k7xtNI+RBKuXA+QnwE\nxBm5qohBCCFAXILgkiE7r8oeuzm3K511Cpzew2/nbMGChfcWVqTgKEG0O4qvzFuw9jyUDcd+tegJ\nbMJAnlRJvL8II9TKFbO+iQHc2vMiAAdcRTQEVVzf61Mr53/cv5hX6wMMuOzUDqTyvhRvjA8wuzPK\n7CzJbUrJG2z2DlDr1wml3bSGSgmkdWK9s7lIKHldI23OIPxuHCUZ9pf0YqQ0vJ80iXfrd05FA/yl\nQfrjaQypcddbxezclP+Mmt8Pq/4XgF6HMuwliWx+feG/gX10slpHxJTgvepPqqTTXl+P2P0s39mf\n5RrMvII7P/R//Oi0H+edW9qbRkulcRx/PLSugeAEOP9X4ArAZY8gZ5ysnlG7PnfO5gMhVjQqLkXR\nmJsR9QBFCOEk2hvLOQQAsy96+6ZIY0Vmz97cdsVzz+A6RT2blBIpv82gyJUQSxHaWSMcgsNBMlum\n6rBaJVuwcMTBcgqOAkgpSUaSuAOF89OPrVL16oFIdnVd42PtHzJcO+crPFg9nRaXmavv9TWgZ9Sq\n0OlRhnVnZjx7SxThqzSRJl6hnIwtFV72F7tZ2GZyD6aVvcYlZyudgc54AImgLKHy7jdpDwJgDG2R\nLBUPQQJGUuPBxHks2z6L1r4S/r5chcd9JYOOgopKzAkPC133HzDvP+sUVFZnWfkTTy/4TkC9t781\nqhW+J6Yza/sAWnU19unTOX+V4gcY4xZC/Sn4nX6mFE+lrqieRbWL+c7J3+UbE9Vq2Rb0IStB1s5Q\nOgYAgXEwMVuRQEPumk3dZmSitmSsJLpeoBQpJc/e8VLekRlnjEXz4F8jtU4ROiv++Q+cs4dGOJry\nB4r8/g6Hi6Y3D7DtmZ0ABaNeFixY+GBhpQ+OAugpHT1t4C4qvLIalNE9SaxDVrjBa6fxxVYCp5by\nRMVkjo10U5dUxqpvXxWtm3cw/jjAqSENyf4D43LNqwNJHU+fCutqFd68MkSARybV8tXFyvmIDHY1\n0tWYfj1AwNZP35ZArt+15ldzuZM6fe4K/hA6B/4MF87z4MkocqL0OCCSwOHpYuquCJf9fE/ueiW/\nuhv6W3Kf2+PKwan0J5Wibq1JuhuOX2+8m4ihUiunLu+h6rsnY/vko4iESYrUJp+TM/QOm4NfnGmS\nCVv/7SokoHfvQX5tOkTD+UTFnCCPySnYk+1gObM2wJSqw5fvlTIDhIFJ7F2xn579Zlj/tC8uwjmW\nPgqHgPSmzYhgEMfcYdUScuewke/MKXnuB6/ktp0eK31gwcKRBitScBQg0a+Ia6PVoreF4tR5EgTF\nAHJpLTueP4ETp9/Ntycqg1mTjDFgc3CmeBB3rJhMcjBnLQhFikllzB/nkoQpfbwrY+QqDrzeVj55\n7GfpmmQgBKQTNsIxZaA1Ce7i7XhEnFiPO1f6CFB5gXIgyv+hccBhrjJ3tdsJJBUT8a0+lZpwBfcw\ndZcZlSi9/z68H74I9r4AgOGoZF1EqexNaX0LJp0NRYVV9/aF9/Lsvmdyn2fZOrGPq0EIQSo8ZPVb\ndWzB8wFkXDkU9rpsqsKXQkp1f8p4v5YdqVa87aE4f3xDzf2Dq44bE8lQRQkkiFJe+unrub0f//3V\nzDjzna3S3w56ezv2ceNG3LNk3ZBPQYTI12OwYMHC/79gOQVHOAzd4MnblHHzlo4UwvncfW/SF01R\na8tqAlR72bdqLj8o/zAAdsOgKh2n2eUnkqnEmXThKkrkOi72RyuRQ+xAcdYpiDo0etx2xg8ogzin\n5FVstiSB7OK3s7Ga3Z2qDK92IEXA0YlDS6NFJBGfcjJcdQk0hyQzYCN5MMAPbZ/KXWdn2wCl2Wut\nzTo9gYodXPhPVUVhq6/HdfJiaN8Ir/4XAH1/zxAOqLnrkhGY89FR39uDWx7IbR+zpR9ncQY8KuUQ\nzTZAirgCMOPSUefQqlS3P+/HjSF7swx9+WJuz2B+vbnHFPWpHCXV868gDUWolLqpxXDW15bgGlP7\n5UODEY0io9Hc8+bfkFI3FNrTCO1v7/hag89x9jc+9I7nsmDBwrsPyyk4wtHfHiGWrS7wl+c7BRnd\nYEOTCi+Pl81Im4AiB11RB212xYi/tFsRyFLxSkqm/hlnykHNrNac0syu7UEiWY3+ed09ZAsSWFPj\nByEoiSvDXevfiQZUeHUeW7WY/1h+KTtbVUmZUzeY3KtW/XrcRsqvslJFxykiY6rDyU/OvIkWYRqd\ns/f2MbMnjiEg7LYDOiW9phJe1crlaF4vrL8nty/R7Cbqs+M2DBw2J8wYwnIfBrfdNMoZu8AezMDs\na0AalPzpcgDemvlhkyMwDDIex+joxLl4McK/39xvfBcpVyLl7SPOGWxIdcu5M7BpYyhFlJuB1Ri6\nYNldZpllZbbJ0XuFzB6VrrHXFSrt7AG8CFGFEO+MA2DoBsloiupZlTQsHL2M1IIFCx8cLKfgCMdQ\nFbspS/KV/AZZ7gBn8zwUOUAIfu2rw1O2FaRkWrcy+Fv12Th97cw5SeWIRdZodTfa6fY6mJpqYV6L\nmTpoycrPDqYPilzqWvMqy7jr+QvY3V3D5oMTcKLzwqQSJqTVcSOuMWG/0lSwl2To1bwcXF3Oltp8\n1vz4bLOluE1D1wRTxmco68my0mfPVmHs52+Btb9W47QPE/XaOVjnwWFkVNjfNVKzYRDhpMkbCIbT\nlMsElE6G/oO5/bHKWaOen9q0ST3D1Algy8CBwbRGJ9L4Um6c0H4HqNTBjlYlMCUPSdsvH1K2II1P\nkk7Y+cc3r2fPcvU+z7xtCb4CEaJ3C0YkQtd5FwDgOLaQ+mIvQzkT7wSNL+8BybumrWDBgoV3H5ZT\ncIQjmQ3fL7xu3gid+D0dylAFPQ7mJtZAkRMDtQqu1vv425ZnWKirWvonDKV8t3hJOHd+Rte4p1c1\nETomsS+3/9UGLzYtxRXbupjQn0Sg47LF+PdjLuSFfaYmAoDQJUmHZE6zSgHocVPG0OYx+MzMU7Fn\nTCO5aMpOnvuamccfcKnxtzz0U27+hYpq+D//OXVw9f/lxsV2lbBykeoCWZWKQdHowjeJTIK9ob0I\nQ3LLnbupaUswOZHtFRAy+QRaxZxR50hvUdr8ruOzq/SeAv9UxDUIcSyGIbnkztdyu8PZEtHDgTS+\nDcA//+syOneaugeTFhfozPguovvSy3Pbznnz8o5JaQB9DO2/8E5wYL0ijE46+b19JgsWLIwdllNw\nhGOwpnsoybA3kuSkbz/Hva+o0sC7r6hDICHgYN1exSU4Kbk7Nz6S8lFe9jxum4tylxl5aOqqIJlR\nOd6u7GI0VNaLK3AQd8JGUTZK4HH08/mpS4gGatix/ey8+5NIhJaiIqX07AdbEjurk/zHpJPIaDbS\nLvPe77j8MfzO0tznddVq1Vi913RKPOedl/8SbC7SO3fSNE2tWG9s3ToqwfDgwEG+t+oOEpk4vmiG\nqXuizK1tgxO/DB2b4cElAPy9rIGAZ3Rjp7cqASJb+nkARHMnQtySN0aIrwDwm1d25+2/6PixKPVt\nwNAFXbtM1cArfzl6euTdgN7dTXqb2QTKMX36sBH9gA6U8k6w9Z87WP3gOrr39uIOuJhwwvh3NJ8F\nCxbeO1gliUc4BtMHriFRgg3N+epzFdtViJ0iB+t3p0HoJO3m6lzrlfTOldQXjUcLrsjt391pGiB7\nVk9gZW2AdjGO8RnTeei3uWj1eCnXk3T11eZdO2XTcGfAZ1d8gMFIgXGqzjZfKZouaXOa13EaQf5+\nu6q97/A66PA7sTnMUH/4V3cwzumEv16X2ydrFrIh2MX6Y5RxmhzvR/prRvQxAPjxmz+kqV9FA4oi\nOt3j7cz/1L0w9Tz4val8uNVXytmVxxWYQSHnFNRluQmBOSBm5XX9GWTq3/+aKfyz6juF2zcPh5QZ\npPElhDgFxPnq2dsUs7+4zsv53z4Pf7nv7aZ4xwjd+u+57Yrnni0wQvXTQIzSQvkQIA3JinvfzH0e\nf1zNGKsyLFiw8H7AcgqOcJiRApN9vqnZNKJuh42idXeCAOlzsPHpZqo8rZzRZ+bOoxE7aYfG+GEr\n433dJvEv2KsM0tLZ8/A+ujlvXIdXGfpwoofp1a28uSdIiTtKX8IHCFwZ8NpUWmJQuOh17TQgzeXB\nJXz9YpUuuOrEVTz4sasBlS8PudW8Myb/Qz3X7ADzz7wAkgOw2ew6GHNcx1MXPpr7/F8TT0CL7uE7\nUuYZGN3Qcw4BQuCLZHDpOqK4ITvCtOgN82/KIyMOhTQeItPyAthsiIWtgIA5NwHHARXZ+58GQDpj\nYNMEuiF54LOLCs5XGF3Am0j5JkKoqEf33isBmHnWBJqE/QAAIABJREFUrPfcIdDb20m8oCooin/6\nE5yzj8k7rpyWPwMgROHuk4eCtmxPjkGUT353UhEWLFh4b2ClD45wJLKcgqFOwbMbW3PblQEXlCij\nEps8gb5Yhvvk1zkmZkYT+rKCN8eVmC2EATqzbY9v9X2D4u4yQj6dxpf2Mhwt05TWwPTSBJmsYNGP\nFzzJnHALoOFNCtxe5agYcQ17aRr7/n3c/cWNnPyl+82J2vPFalaNC+AM7kILq7K3/oCdSncpvPQ1\nc9BnN5Le2UQwpPL0P9m1gs3+cjbGO3i88S+szbZFDifCfOP1r+fNP1Bkp6wkCsF6mvr309axHoCb\np5zCqQ35aZChMNJ3kdmdxDYOhC3rdDjUCldoTyHETQjtuxiG5NZH1qMbkkvmj2dG7ejEx5EwuR1S\nvgrAq3epaFBpw3vfOVDGTG6IVpKvPSBlFGmcBLya3TN5zNfZ+ky++FH5pHeWirBgwcJ7C8spOIKR\nSWZoXnsQza7lMbY9TjPAE/Q6wYgiA07ad40n6GuhjP7c8VSfg8dLl6IJydIpbbn99732IV7YMpey\nVIK1xRXYM3b6XF6O6zRlegcRq1BOSI0vw/6eIMXeKPqAG7+mDFuf006wvI9U2I6R0JDHJThhtUon\nDGTUvVZGU/j+buaSY3aNYyYWUzLx2Vx74ojfDt9z5ioOOP0HUDUHvb2dzkoXGvB4pWmgHt72IN99\n4zuEk2Fue/Wr7OjdzlB0VLtxnOEAp48HX/kaNVF1T/s9Acb5R89rZ7ZlkGGJ8+SsI7ZnAAJKCEoI\nO0K7ASEm86fVTazeo+ZcOOVwV8C95uYw1cDKqeWHOdfhI7l2bW5b+IZXA7QN+1zFWNG7Pz/VVT7J\nihRYsHAkw3IKjmDsXdHEQEeEWedOz1Ue/OrFXbSFzFVeV38cBgaIu0r4w0OncLpThYRXBapo3lPC\niuVX01xSzsdmRvLm/u2yM9GljdvSvyeUVJGG5JAs/bL6AH0uG8sbnERLQ4zzj2dbj5twpITq4j5i\nfV663cpoLuxoRLNLUlE7IOjZp1bMac3Ob06+FoDFmpnO6HXbebkhSK9YDUBZr4oChILDZG99Kr0R\njvXSVenCAFYFR+a3b1/+Ddpj7SP2n7qqC8cpNyOlpL7DTIl8ZcGto+a1e2/6PN0XKoPtXKDuR6yb\nhrCNVJP82bOmMf/QzEM3nFLGkMbQtsO7yKRUKmXc3Goc74P8b+iWr+S2beXDDfXQ78qxY25+ZOgG\n/R0DVE4vp6ReRSOKqq1yRAsWjmRYnIIjGG3bVD522oeUPkEomuLB11V4v7rYTXsowbcnrYeNkl+/\ncTvrL32Ga3eughTcOX4u//2LrSy7pILWyTtYOj4+Yn6bIcnYBujdfS3Qjz3bQ2FruYemEgd7S8rx\nGxHqXePYubsaqU9AlzamVrUTbfQTCsY5MbaOz/pVvl+LAUhSSQeQ5s/zLmTNhHnYDElln40M0DpO\n8mxZKf92zgwe3bUcG3DsHhXZWORuyb/ByYq01yHDwOgKgc39+U17alvi3HB/E+O9YXzXjuf+Lffh\n15Xj0X/JgyypWzrqXPG/P5Xbds7POgXjR+bU5ZCeEHddP/+wyHPS+BawJf+6IVX+4Sl57zQJCsJm\nwzFzeOdFlQoS4osI7RNjnrpzZxdSlxRV+lnyxcUYGcMiGVqwcITDihQcoZCGZOeLu7G77Lkc84Fe\nU0b34uPHs+o751DR/js+MfNM1i9did0wqEuH2OcuojiVYl9tkA0n72B6SYoSt4GhC2RC50sPfxKA\nUw708/PAhTkhoSkhxV/o9TjQs/7iOJpo2l9HtH0Rsa7jATh79gaa103ikkgzd9luZ3K5qunP9Nux\nFemMy6gUxM6pKtR/9t4+Ml3KqG/xBkEILlkwnrRM4otkmLdCGaFFrhalP/BNHf4zoToRAqGMWrnW\nptX93XTcF3j0wj/x8PmPFHx3M3YMUNOeJNAQA3cJK1tXUpNS7y7Q8DZdFZNmxYXniknYPfMRD+yE\nkkkjxsZSem574WGHxJcN2VZpjFif+ht7x9xZ8fDgmKcqL6rXrRlxTBo/Vf8nOeLY4WDFb1TVQcn4\nYuwu+3vWzMmCBQvvHqxIwRGKPSv2A1BSX4xmU75be9hc7Zf4nJBO8K3SWkIOJ5SEmRLrxyUNtntL\nqOuL8fhlSkr2hGr14/7y/55Hd3eatT7V6c6b1unM1DMnHWMoBpymAFF86hvI/uNzn6+bt5zZFa28\nlbRzo+MXeedlehxESzXcTTYG6jxs8c8EKamJmmI+fXYnP75mHsm0jmaPc8oKU9pY2IAl31LSwzZl\nQNJbtxHSlDBSHElASs6daOoYfGzWdfx+28MAaGgEehN85K8qJ+4oS7M21UdvpI1p6RTY3aPqGwBk\nDqgWzZ7L3ZTc+T3EC09CSxSKJ+bGpDMGbzX18cBrShr4/GNrDy9KIM2/oRBfBnE2yPWEWycDb+At\nfX+cAhmLIYqD2CoKSSgPZO9v7FUH6Xiann2KTzD7ohljnseCBQvvL6xIwRGKzkYlBjTnQvMHdUOW\ntLVwchnnNaSJ/nwyPY4hHQnTyuC0uHwUdddwYILy+U7IGtiDb01gS5daIXpTOv6kzuKmBHXZSMEg\n+rNOwbEdAyR8SfS0ygMvaQrziVOXkej3UOTsHHHP6ZADvAYg2FqvhHCqo/nqfjGHRtDroDeaxO7q\n5tjNKqpQenYPfHwZHP+Z3NjEsmV0nn0O/QH1HBGbg3J7fni93GMaNQODSVllRQBbqY3vNv6R7+1b\nTWWsB4ob4G3y4+E7vqfOm+ACToYeVXVBqdku+K7ndvClh9ayPvu3mFx1aDlyKTswjDtBmqWWQvsY\nQlQitHNp3aQ4EbWzx07qOxwYfSG04tGqHCpRHRFH7yD5rxDNNoeacdYUnF4rQmDBwtECyyk4QtGz\ntxehCSacqFb7iZTO42vUSvbzZ07DtfvvPBDMD1vXJJWB7XR62Ro0NQiqSmKkYg4ySQdxu/qTn9AW\nIenQmNabYDhiDjWmVuwn3HQuyZCqya+OJXG3tZPqENSfYeb4jYQgE7aRCdnxNgkywsbT9WcBcHGb\nWlGfces/6bmqCikE40u97OttIRiP0LB/AGd1Es8lV8OE0/LuI3K3qkLoz3ZGTGs2yovyG+l0x7vz\n30FWwqHkQ71oJHFIg5mD5Zn+fOGl4cg0qoZGngvrFbmuawv4q8FrVgP85c0DuW0h4KqTDk2yVxq3\ngvwDUqpnEtpP846H2/rR7BqlE96HckQpMXp70UpHlgdK2QPsg4LSUIeOQT6Mv9wiFlqwcDTBSh8c\ngUhGkrRt7aCkLojDrQzin1abZLqGCh+pTft5vrQegFnRXmqTUa7vUEatrlfnzQZVRjj+wDicwXai\nPerHOZztNeBN64TqDlDemB9Oz2gy2x0xxTOVc4aU00suqrsb2xN7qGIP6SIVYu57tZjYTm9WF0jQ\n7BzPzR/9LgBCStIxZXiqZy2icWsAlz1Cqc/JY3vuxR9VeXlHaVo1KxqGTIuqWEicPh9S+wEoCTbk\njv9jz1P8fttDeeeUdqtUiaNMRSiu6dhlHjw/P90xHDIRxzbJhn1KrRJQCu2HiWfmjh8cwum47cJZ\nnDq9ArvtX/vVUqaBoeWSDQixNPcpk8zQs6+P0iGpovcSPdddD5kMWslIB0TKO7NboRHHDgeNL+1B\n2ATTTh/Jx7BgwcKRC8spOAKx7Vll3AfLuADuflEZt1OnV+B22NjVvAwqFEntB3tX5a3rHG5Ta+D2\nM1sQGticygC3+53YDElFLI2um10RF9Q8TixdzE/KLwQg4UkBZth3CSuZElyd+zx+QJHIUu1OkOrq\nCb+dmz/y3dwYd8bIbXuCVfTH0wS9ToQQ9MX7mRhR19dcRl6IHsCIx9Gbmin9iJNwaAM2dxG6ZsPn\nVOWOUkp+s+kehmPS1m6kAJtf56/lDVyebR3NSbdA+ei5bZnJYHR14xjvAEqgK9sToNJU+lu7V/Ef\n/v2CmVx2wuG0/h0s8QuCOA0hPpd3dKAzgpExKJ/8/gj7JF9ZBjAKFyLrKIiz3tE1Bjoj+Mt9VkdE\nCxaOMljpgyMQ4RZVorfgoyr/nxjCdL/x9KnQf5COuMrpf7p1a55D8Cvjejb7lXE5dtUCyhqUpLAn\nGOf0ax4i7LJR7LLzygll1MeVsXJ7uji+5ikm1L1IR7YdsS+Wnwe+Sj434j4PGLVkQmZN/W+XXpt3\nfNApmHXeRvpiAVr64nT2JxiIp0lr3Zz6ujKyNr8OJflOQXrLVpAGnrJ99DjcuZJCn0NxCoa2Rh6E\nPW1Q1ZVioEZDc0kOOocYpLdpfgTQdaFqJCVjEtFTC7uU9DKVs3NjNh9Q1zzusEP8WSdNnIamfRsh\n8nkD0WwEwvsetkguBOfx8wrsVfcixGfHPG/nrm5ifXGKKi2HwIKFow2WU3AEIpFtguQJKib6c5sV\nm35OXTFTq4ugYxPNriIAJsZN9cL/Mz7Nh8RKtvqVAZw/vRi7y3Qong7OQ9c0etI6B5J2miKqdXCp\nW+XJX5Gn5MZ2e50gJReH1rLcfiHH21XpmnFaDW8+fxzL5CJ+F/pobrz3hgjrgvkNhk6siWSfo5qH\nl5u596t/+TLeRJIF65WRdTVIqMpvY5xavx7NZ9Bvc9DrcFOaLUf0OZSh+euuv454b4GsMqJWrJ55\ncf8Q3f1g/Yjxg9B7ekhvVuJGjjl2+PVX4fXvq4MVplNwsDeGJmDCYfclGIzcFDb6sR5FEH2v+x0M\nQvjVO/R/9saRB+UgR6NQVcKhYe0f3gJg0ikNY57DggULHwwsp+AIg5SS5jUql+70qlV4T7b/wTWL\nJnBgfQttK1bR7FZOQXGPuWodkD7+3KD6GcxZNZ8PXfAk0ozg8/L2uXnXKo6rg+OrOkiMO4/9ffMB\nEEKRDxe1DHCj517sUhlZWe9n9Stns8s+h68b38LWPCQ90J6gakBFL3776YX89tMncsWcf6pjxUt5\nc6+5sg+l+qhtMwmO9olTcyWIgxB7HqfmY+3sdavIRdCrHB1/dvX/6oFXcGr5KoPXrVdGt9IRJW53\nExzs9Fg2DeZ8lNFghMw+BMGbtXyKXY1ZjtkWSlAZcB8SjyAfg1yEwkZ/kKn/fkQKpJTIeBznggUI\ndyFBqC7AgxBjd1CivcrJmXnW1DHPYcGChQ8GllNwBCHWF+fpb72Q+yw0ZZ7+uGo/AJ6+OM/c8RJt\nqzfS63ChGSAyypi+IeezVwuyNlDF2Y9cykK7C395BDGovPeXPfQMFGPDLBF068qo/6f+UW4PX88K\nt8qf27McgaliD2Vek21PQuf5BoNt41VEYEmzapizauIcri25m12VkwmIBLPrSjhmvESPqnuz+0vZ\n32VK57pEiK/eqaoSipf0gS9fuji98XX8fvUe2lzKOMkKdW/7w/tJZBKEkiEqvWaFhTAk059cp95T\nTYLUnI8i7C4MYYObtrxtKaIcMKMtontYNYYtW/mQMegaSFBTPBYdARUpEKM4BR07VYrHX/Y+pA+S\nSdB1hG+0a/UA76z3Qjqexl/hy31/LViwcPTAcgqOILz2y5W0blb16rPOV3X+UkoyWfnhjT99HQCv\nI0yf3YUr4STo66RLlnKL8T06K3spTkgcaQeBquzqN9vl74X0aWR0JzoONEPy2egTOVnjuMPG8nAx\nYbfinaZRK/Cpjh1592e4nHwk1cCKiYqwV96vSv3u/9CltLhVuV+/dKvVqHwoV/HQOJDGMFWBmd9m\nNuOxV3rggrtzn/W2NrRHPpT73GdX99IV60Ig+Evjn7hn46+QSIwhYZB7pnxDPa4/g6s+SdBbwWQD\ntJKJoI3Cp5US/vFZMj89GQD/V3yIriFy0Gf+d26zoz+BlFA9FqdADqYPRjoF/W0DNK89iK/Mm0cs\nfa9g9CsHSCsa2dFRygyqUdPYUwcAqWjKUi+0YOEoheUUHEFoXmtq/884UxHvwrE0saROXTiZ+2PF\n/AN0Or0U9fnxiDDtqBWzqNrL1LQylMlUVpCoT4XQX7Mrw1eUzHDlzjbSu09GZAPlyWw43K4b2HXT\n0GoVuwF4bs/NDMycTMcdXorvuI+a3gN8evnvCUaTxB0uurXh+fq1IB9m899V6P2+t8znchc38pFV\nr+Y+O77dmCcjnGluxuYz7yHkVCvarngXUtU9sqJlhXoPaWVsJwYmEVihiIG+OVGEAOoWQ6wLit+m\nJO7Nn8P636iSSkD4BHTEVbrh6/2w+N9zQ9uzTaiqg6P3YBgdozsFnY0qSjD7opnvy8ra6FbkTq2i\nUDSgF5Agxt7J0NANUvF0LvVlwYKFowuWU3AEQBoyFyEAqF8wPtdidu0+1bGvLK7C/l5nHxuyGjzT\nmsqwCZ02WYW3ch1CQLlNrTbjXVHEL7ZAiQvdELyU5RNcsLsPb8qUMQbQNYEvpXP9li4u3K1W/1N6\n43gc2bB6mQPndC8ypb4uc1p3cN6OZQB857yv5M1VX+YFGUJPm1+t1oSZsjhnbhe1rSpE7zq2dkSt\nfHL5cmQGUt0O5LUv0zPtfADShjlHUlfnh1KKpzCtdDqRP78EZDUPyqbDhgfUYCNfUTEHKeG5L2Mk\nBclWZei9V3vgk23whR3gzGfOt4fVNccSKZCDGgXCRzqexshWZRi6wct3LgegfNL7U46odysnRCsr\nZPgHSYZjTx8kB5IgwR0Yi/NkwYKFDxqWTsERgPV/3sS6RzcC4K/wce7tZtOeldmV5IRwkqoZNj7s\nu4XPlS/Bpesc71IEtW7KsDlVusDfW0UMKBf72Oidy1wMbJpkUKHOO0Q7AOClCQF8dsmCJpXzX1+t\nVrOVsTQuZwiSUHdqC5l9imx4oLiGNfXHcs72V4g6feyqVKJDN732AMUfGcdJ165DygGSUWU8i48t\nz117Rm2A4P52NAnhBQaz7v1t/os4sBJf6LsIB0jfZGL1J7B2U77yXyEsqlpIqvFHADimT4NLfge/\nO1EdXHpH4ZN2P4sEQisVMVMENbSiWoQoXEa3JVuOWF18eMZOyiRIVSmRSbq5/5pHqTt+HAOdEUIH\nTYJjSd17nzqAbKknYJ80scBRRRQV7yB90LVbRSK8h/meLFiwcGTAihQcAdj1yt7c9mmfX5R3rLGx\nC6Rkln0zF3uvI41Gu8vHbKedk695DYA+gticA0zZEyX6kqo9D7gO8ljRlXlzCSPfIQBoCrqZfiDK\n5FCCHred5mx4XLPF8GkRDKlRPa+DxBrlFNx2yTdpK67mB+fczG2XfjM3z7mdr/DhhfupyCodxrJ8\ngohUfqfbofF/p0VJ7FNGqd41MEKwiFU/w5aNTjgv+yL7w/sO6f2Nbxvs3SCxfepJaF1NVmIR6k8e\neYI0YNm3kFdMIhVXufXAt/zA6Gz5J9epipDq4OFGClpzW71NagV+YH1LnkMA4HkfjKg0DFLrFBnT\nOWfuyONyvdoQY1ch3PyUiooExwXHPIcFCxY+OFhOwQcMI2MQ7TEVCKtnKX5AYiDJo194krZIhDJC\nXDxNkd6c0sCjpymNCH785wsACBGkrreLy1/153gCES2Aw6YM+b2vKKnehrDiF2gO6Lv2WB6aXcEn\nplYwtzOKBHo9ZuAoqEeZEVerY/uKDhL3q0hCyq4IZC3FpjzyN579Ga9N+CIv/f0EQEXmn7ztGnVv\nSaUdML+hFO3x88lkyyA1lw6OYQY2YZYtypIpdESVzoDXPjor34WD1IevBqB4aT/07IRtf1EHS0cx\n8ut/g2xbB9OKwQWiWOC9woMQZxQcnhnCs6g73LJBuTO7cTzr/1TYyVnyb4sPq9PiWBH5xS9JPKtE\nqGy1+fLWUmZADraiHukwHCp6m1T66Zjzpo95DgsWLHxwsNIHHzBCLWH0tEH9gnGc+vlF2F3qT7Jv\nZRNNPTGi5WUsFa/mnfPHbapc72WhVsEhGWD27gPsn7IQ9oG7uJ/HjIsZ51Z58AM9Kn98Rms7Bl6K\nJgZYH0mi2zQqd7xGN+r4UKdgoV9dUyIYuE0Z6zX1I7vm3bDyD9RGJetr6unbDDXPz2b9Yyfmjnem\nEuD2scCxnS3+MnwtWYGhopHGVYabEMA6fwU/2HJ3ruQwlomNGAuqDPHLvzINrffcxfDI+dmDGnxm\nbcHz6N0NZW6kIdEP6DimZZ9bLCk4vLVPkQzPnF2NVoAMKKUc1ahLlDx1996Pc2DdnrxjDq+DK39x\nMb73Scmw/3/+N7c9QqNAvjjkQ9GY5k9GUsRDCeqOH4dmt9YbFiwcjbD+5X6AyKR0/nLzUwBUTCnP\nGYdULMXrv1pFt1cZqykUXmGeLhQLP1O7mWcCn6cvoIzosUs2s5r5BDzKmKbTae5LfxMjo+Yfd8oU\nWjsi+DSDZJcdmzNFn8vG1grFJ6jrT+L2qPxy14Zxueu9OSFfFvfipmc4f9srHChfkNu34p7TiYdM\nlv3rfi/FhLnIt47VgSrqDygDq13/WP7DRDsRvbtIdTu4Y+IJZGSG1mgro6EqFeOcda1M2K5y2EUL\n+hGVs8wB9aeCq4BxS8eQ236O/NwsjE4DkmCrtwFlCFHYGN74O9Xzwe8a6UNLeRBpnImhL0DK3QXO\nVumQ7r0j/6md9bUl75tDAOA6RTmRlS88P+KYzH3HisYctYhktSiKDrGdtAULFo48WE7BB4iD681S\nPZffrOte99hG1lf52FCtwusnCZXr/VF9Ia166E1XE3JWEReKrGanGYBL5itpYk9XCHfc/KGfNL+O\nvoEk9pjBQGcQX2mMNbWmQZw70Ix3gjJwYqeKNqQ1Oy9PN2WQAbQ54+gMTKWreNqIe6qdU03JNU50\nTTCLnXianmddUQXHbgwj/F4cJ5paBJldm8m8+hsAnnE05M0jRmnh+6udr/KxHebKu+icBugzuRm0\nbyh4HhsfQl6juAzprSpqYaubgND+VnD4isYuQjFVwXDJgvF5x6TciTQuYbCVpDSuRsrO/AmkirgM\ntKsUxId/cA4zzp5KSV2QyqnvTCTocBB99I8kl70KdrBNvwvD+MmwEYozIbRHRp58CIiH4vTsV6mD\nosr3R67ZggUL7z6s9MEHiFCLSTYbKnG7ry/OhmpztbV+1lS+bFca/MuC7RwfryCQ2pQ73hJVfQM8\nhuIQRPolQU+UykA/7aFivOE4sXSWZW/X8Xt+TtK2gJKEMlTRjIO+rHBRfdUOVk7ZxucNtaI3khoJ\nu5NrP6EEhiZ37aff7aerqJxkNMCa6Z/I3cepn3+R1+9W/IWF1x/PUy/+Dijh3OTLdDzczfEL/dgM\nkJFYbjUqO7dhf9RMSzywOJ98OKhNALCoYiGTf/Y4PaUOUikX/avVM/nnDiACs6Fjo3minqIgNDsU\nqRr6xD/nAa/gWnArQhQm+v1hhVpBBzx2ZtSa5Dkpk0jj2hHjpXE+iK+DuBxYjar9h/52dT9F1UUj\nyKTvNWQ8TuhWpbng+/jJKB2JtUj5FYSwIaUEuQFwAJVvN1Xh+Q3Jw5/4c+5zUdXY0g8WLFj44GE5\nBR8gBjoVwXDWudOYuMgUAFoRzpfafcHjgbTB/+xazpREPy96P8/81H5K6OfZkjqifUomOJBJEQd6\nM24+fuoyAF7cNocSegkn1Y+9JiT33dgAxwg8WaGjcMpFzKFR7Ioxs+Fp1oaq0VrV6thIauz81kLI\nBjUu3fgM7kyC753zZarXm0TBK3+wjsD0baTj19OySVA+qZSBzmbgOKY834TscHLFgZHpAOPFHzKo\nmpAWAs2QGKOI+Jy+1824N5SRDftMAx1c1A97s10caxeCKwCnfqPwS08NgAQZKye5bAtaRQXuc88t\nOFRKydaWMBVFLv70pVOGHTSNoNAeQBqfGHLejxBEANOxi3TFsDk0vGOSSX5nSO9UZEf7zBkEvnEF\n8MPskRagHuRvAUXqFMJWaIq3RaQ7mvfZihRYsHD0wkoffIAYbIRzwseOz8vjdiRNwZ3Z9r20pQ1O\nCrczJdHPrp5FTP3Yc3xG/19e147jnsRNOHQbz4Y/ja3dj7DpxD0Orj5pJQAbmycwjjb64krxSE/b\niTrUn71IJCmZ0EVE9yCFYKaxh0l/68ctQvjb4xgpQXPxOB5NnZ27n4VN65l3cCvfbjRbKWsiTWCS\nIiPO+fAizvvmGaxrbOIZYwlBwrg68gWEKl95KbdttJuOQrfDQ8auqfKFIbBlDZXn6WW5fXpU+bOO\nsmERgQmnwnXPQ8PSkS9cSuSrt4HLRma7G6OrC/fSJaPm0H/+fCPJtMGECh8ep33YVD8DQIhbEWI2\nQvvxsOMPA/HcmGhvDG+p9wPpB5Deug0A/6c+CY4f5vZL47IsF+KedzR/uLU/77O/wuIUWLBwtMJy\nCj5ARHtj2Jw2nD5TEjYVSxGxpSgmzC3iV/zQdxcANSm1GlvW9Ble21XPQcZxu/NLtEXm8Rt5K5ov\nSaTXR1lDN/MuNn+kVzTOoFa0056py+2LOZSRPfWiVfQ1VdDqd3Le1pe59Vd3ccY/Wvj9yy/gKMnQ\nkqrmlsvvYFeXcihuWPkHbFIiERxImPyGC6f9GOwtwLhcd72//fFewgQ5q+XlvGe2NTTgmKY4CGk9\nTVt6Te5YOFvuyDAjrUudyXsilC7fnLdfc+uUf7g7bx9VIyskzAs0Q4m6RrpR3afzhBMKDjUMySMr\n9wPQn+UUSGlk/+syB4qPZG/5dIS2Ejht8GJIeVd2rmOJhxLvK6lwKNLblFPgmDvubccJ7bdve3w0\nhFrM71tRlR93wPU2oy1YsHAkw3IKPiBIKenZ24u3xJO3Un31uTcI2b2ksXOV9nc2VypDEsioFfGa\n6iI2dKtUQCbjxEmKOlsbL+77AgDde6qQ2SZIv195KlWRNE0HzsdImOH2lyZm1fNeUkYi4rTx6Tce\nASFpmn8KD3fdQywdYL/TdCQAzt/2CgC2y0xS5GfmfZKq8zUQIWAK0URG5ag1B0jJNc88DcDBcW56\nFs3E/dufc8fK/2Jv327CT91AfTLCQLYTYY+InwIQAAAgAElEQVR9SF5/SLRA6DLXVXEoSk7vQ3PK\n/A6IMy4Z/aW3vwUlymDpreqa9oaGgkOf39KW2/Y4bdlb+hHSWIw0bsgeqUcIM4IghBPN9r8grsib\nKxEuRxoSb+n7nzoASG3cCJqGfYopKS20Pw4bdTJCHDem+cNZbsylP72Aa+657H3RXLBgwcJ7A4tT\n8AFh69OqA+FQQ5HoT/DHNdvBMZEoPlbPv4G7Uso4laWTrEydQMc597O7RZWWNQx08YD94zhsOilv\nMcTA8dEd+FxJ+uMefv382XxiTxedmKV6evb/nrROfLuSs00Ltdc3O8pW7TwAtnWdwZtVVbnzFjW/\nmds+uOAhOLCbU07ZBzGJPEWtusPfeoo/rO/nL/Mu5Mrmg/x6zddy5zx1QTWf/vI9/KNlOes61tLR\nsopfblelcUV6mhXTL2ZN00HzBQ0xLJP2mm2XbYEM1dd05L9MacD8G+Hcn+daHRfEunuhSjkF0XtU\nx0nbhOHNnBQ2ZJn0ADedma2ukE9k97Rmb/GigucKqobQI+dyYL1KrXhL3v9IQfQPj5B+awPOxYsR\nrgGkAYjLgEkgLgUCCHEOUPg9HAoG0wfBWotgaMHC0Y731SmYNm1aKfA74CxU95X/aGxsfLTAuI8D\n/4bSne0HHgG+0djYqA8fe7RiUOZ26tLJuX1rHtlAErUKv0f7KstTpirc7QM/wTftNdLtVcR6VLXB\nla3P4Jis05esor+7BM/kHibMaaIiMEBjezXB5PDXJUnPGACqKMt2UXQHY0wIKmPsKE5DluO4vv1i\nkmEbTANfMsqnlj+GLuy0nnghm/6qyhXHl++DbvMrFHswzqXyWS7d9CytZZVURBQpcPckL3vn11Lp\nreLPOx9Dk5L/2WHyCt7yl/NjZxqmZp0QKXNOgVvPsGiLmsc7I0pgQX7+OofaE97eIQDo2oJcUIYx\nYCAT6vltNTUjhkUTGVbuUmmJF75+OkUeB1KGh42aC+Ljha8jloD8hdrUfk7nLlUpMrTs9P1A/J/P\nELpNOWbuMz4EUj2TYDZCaAjxn+/KdUIt/XhLPDi9VrtkCxaOdrzf6YNf/n/snWdgVFXexn/3Ts1k\n0ntCGoFA6FU6UhQRURR7XZW1t3Xdtb26u+rq6q5iX7uuXRQbIioCgoD0XkJCS+89M8nUe94PZzKT\nIUFZF7LFeb5w59xz7j25d5jznH95/shlJxG4FHghNzd3QDf9woDbgDhgDDAd+F1PTbIn4LDJRSlr\ndCD33Wlz0aCzkkw1Q8+5iwO+HXxT0Wm43bE0HTwbe9U40AzocTInR+60m5Fm/s/i0piYKyPNG+1W\noh1HkgKFimwZ/HZZfynIc2igDfWgbNuTHVyUJ77dC0Lw1tu3EdvWzN6MM9jplT74xH7xRLp3Q46s\n7md/zU6n7TGp9YF8/W3Do/nzxEe4eLGsxZDpaMEs5Ny+iUnn+bTBR0xTEoJrKvbw6verGL9c7rSj\nxjbLsspxHWSpk5k65og6CkfC60K0V0JCGFp9YMeu6LpG29/y1iZqWiQ7spo7SE/pEXMcjKJ0/99H\nUbJR1JUo6iZqD7Szb6lUNRwws6uew4lEwzXX+o/VcCv+KojK8dNHqC9qxFZrJz6nZ6o8hhBCCCcW\nPUYKcnNzw4G5wP2FhYVthYWFa4HPgcuP7FtYWPhiYWHh2sLCQk9hYWEF8C7QTWWb/144W2UdAqNV\nmrP3LNlH/rpiGtQoUtV6GHI5NR4HOocFZ1PXxWSMTQbdPabdzEX6h9iVYKHCGTDfvvHdyUT76g50\nQFME2xpz0KlekEKA7LKWkt4gXRSlDdJ1kGLdhyVGmuwHV0pBoHZjFHVx/f3XmnbbeETzPsRZktS4\nC7surmUZSWyY3ZdNU3rR4Gjwt+fZA6b5HfXJDGlK6jIWoL+9kdbFgcVGNQn2jPw1DPD57OM6PRdr\ncrfXAKDwS8SBJYibBkCUQGuUqZjW664N6iaEYE9ZE3s7Bc759RT8roOO9h/XGlAUK4qisOmdbf62\nniwnrNlsQZ/Dzp6DOA6lkY9E8QZJlnKn/QQpCyGEEP4r0JOWglzAU1hY2FkLdgcw8BjGngzsPiGz\n+jfBVmfHGG5Eb9ThcXlZ+/JG6qNklHs/Uz1fz1+GTaenzdX1B1yneImp7E1tWwafClkUaVNqBJP6\nyTiF1nw7O8uzGV4dnD/eYlVobg/niqxN1KzLA0BrN5LRWE557GDqqycB4I21kn2ytDhEO9w49FZW\nDL2TNp2sKGgMU4l8NRYxLVBi17FILvTmzHZ/m31gNp+dlYIlPJoWV2ChvcImd/75FfGk73WwPDFw\nzuALMJxTe4iUuFEIpy99clQLD2aOwjLxbhh9I0y4Cy75EvRmqUsQGaw26EfVdvjgTPjqIvBleWi+\nVFA1Nnh3+/XOSua9ssH/+Tcz+yHETjTvVBCLfK0d7obuDFzB8Lq9VO6R8Q9z58/u0XTElsefAMAw\ntg8ppWtQIyJA+JjgcSQFLVWyKmZcdsxP9AwhhBD+G9CTpMBKhxB8AK38RPWV3Nzcq4ERwOMnaF49\nDne7m+aKFv8PaeXuKgAiIqQ8sVoJ+/ZIaWOvKzJo7FvXPcNNDQUktrn5uuTGTmcEd83+FABPTTyx\njmArAUCrWUWveYne4isXbK/gufkfMLhiP9tzLvL3G/GrTRgT5MIZ5dRoTglOZTt7uFQ3RPP5C1xT\nEHYVUy8HcTMDFoElSTqaXc1EGiN5Z8/bANwz+HrC7LUIDSK/CuODiwMZDjpNI8FlJ8LlYu4nlRx+\nWxKNsL5tFJ8Sy66YdDIiMqVVYPpfIKY33F4GN+4F41EEcyplqWCiAv7uxqvl4nhk5sHawkCqYWZ8\nOBeNy0KIxcivKcAYFPUzFHUNihL8XrpDa40dzaOROy2H+N49Y15vX/wlTff/AfsrMr0w9lUPiHMR\nwg6sQLpcon/sEv8UWqpbUVQFa3xIsCiEEP4X0JOBhjbgyF/SKAK/uF2Qm5t7NvAIML2wsLDhaP3+\nm6B5NQ6uKQKBf6Eo3lyGAKxZJmgCW2sa2b0XAmF4HDGkxa0mxnIqVnU3mbG1rKmJQAPe7yV3q6rQ\nuPusT4kJlwv5zasuY+gRVgINSK/VuKK2jmZfVcTMhiUA7MoOpPFdMOBuIoel8smvT8MCJLri2Jx8\nhf98cl4i0bEeGYDvIwW1z8jrCAPcq92D52QDA6oKKehnRMVGq6uFeoc0XZu+vBE0N47DZprDgjmp\nV1WpMYSRWurEvstKDDIu4auhqSxNSqZ3VG906hFuirCfWGzrfKWLI6WVwLN5CiCLMRlHBwo57S1v\nZpmPnAGYDB1zC9xPUX/lU/w7NtW/A99L10tkSs9E5WtNTTRcd31QmxopLTdC66gAmXLUWIh/FkII\nWipbCY+zoDP880qIIYQQwn8eetJSUAjoc3NzOzsfh3IUt0Bubu5M4GVgdmFh4Z4emF+P4OuHlvP9\n8+sAyBoj08Cq9tawL8XKG00jAPA6w3HESrOz5rFg90QyuPpTHj73PdpqI/E4jByMMdMQJhe6ObH5\nzB4uLQsfbRhHS1sa2c3OoPt2ftECqDFrZFRJXf+6SPlKwvTNhI2TJYVTDi3jSIybN5pZD5wKms8K\nESl33+YtcvHeYRjICjGZ7/uO48VJv0KY5YKUHdXbf42NFskL2w+HkZ/XdbH0qDp/JUWA4owwPpqc\nQZPBRN+Yvkd9rkdFgwzyY/BpCIegdq4kBGFnz0HXKeXyd+9tDRp2+YRseeArcKQo96AoJx3zbW21\nNrYu8GUdhPdMVL5z46bghm40hBTl6p99fUeLg7ev/JDXLniXmsJaGooaaWtsJz4n7mdfM4QQQvjP\nQo+RgsLCQjvwCfBgbm6uJTc3dyJwJvD2kX1zc3OnIYML5xYWFm7uqTn2BMq2B0RxkvolsHXBTuqK\nGlnXSS8+Qa2jzSD9z5neapqah1KtRhNmdVJfFM+UHY+yOiMgRnTJKav8x4s3jGbO/mCjSklU8Gsu\nijKhd2xHAFtyLsatl9H45w/4P9RUI94ajYKE3hyJxNx49EYdtJQjFBVnZhw0OHCXyLkumzmbmD4L\n0Ztr0ZvrmDfsQv4y6TEGxAXCRvLDY2hXddTVWCno170c7tmfB6SPl01LQPh88X2i/wlS0FIOqx+W\ngkVhcYic4XgrA9kYxuHBFSc9Xmn1mDU0lTOHpzF1QAdhqAZMvtz+Y0d1QcAV0UH+TjTcu4IVH3W9\njty960A542dfv3xnJe1NDrwuL5/d+RVrXpLxF5mjjxLPEUIIIfzXoafFi24EXgdqkPlR1xcWFubn\n5uZmAHuAvMLCwjLgPmSswVe5uf4I8+8LCwt//i/afwCEFsjZy5uZy9pXN5L/dSGrMwJelRHsYMFY\nN1mRclHyCAO9RDnNKVLFsKk8iopeWf7+v9pbQXIfSTQmPPgQ/WsdHOmRiXTIRfWT3Dhio3bQ1pbO\nrwoP0j46iSpk9UWrsQ6z3obWP4z1K7JYMnA6kQ4P5xXU+69jCjeCxwlttdDvZEzGVqh10NpmxavX\nkZ+7EiMQ1/8DLux3EefkyoV0dfn3/mscDoviooGnBWry+BDjduBRVE7/vhJLu8bSUxKwOmH7sAD5\n6RvzT6T0vTkFGn0qiNnTgVqcKwJ1EsKvutJ/7PJotLk8DEiL4g9zA+mRQqxFGrhyj6rS53V72b/q\nEN8/t46YjGhO+f1kYtKj/cWuZtw7lfC4nhEt8lZL61Li8m+pmX4qpil9gUYU5QYfqYn+l9QGbbXB\nLqnqfZL4RKX+dHxFCCGE8N+BHiUFhYWFjcA53bSX0CngsLCwcFpPzqun0Fwp4yz7nNybcVeP5vUL\n3gXgYExA1fAKZQG/qXkE4lYCkOh00Lt5HfYYGZB3oDmGp6bJxTbC3M68N19EZ9A4UBuLQCW7U4XF\nppgGohtjiXZ6cavQZNahZh7Eva8/6e1lOHolgU9E8Iw+voI+Zh17yuW9Wsx6rux1DbVX7uXwljr5\n498sXQ7e1p2oZNNWpPDAbX0Zvzo4hnRBwQec1edsrEYr26qDTfPd4dqKvQy21bG4VsZJbBwdQ0Wa\nfC43Db8Fo85IWsSPa/ejeaHxEERnBggBQNIQoJaWByRZinn6qSB9gv1VLXi8grzUBjTtaRTiQElH\naHcAoChdsmb92Pj2VnYtygegsaSJj25ZhDUh3L+ARiT2XHEgb5UkBbrUVFIKFkHYNb4zaSjKv54d\nUL5Dks/Mk3pRsasad7vMlvl3VH4MIYQQTgxCMsc9iN2LZcpgUr94f8aBagosTjcrrxKvNIKAWiUW\n4YIcTy2T4nfDQOkSWKYGFBDvmvMeepM0ib+1XsYjxLU7ARUvUB6tEu2TBGgy6UFROH3NHhL2NhMn\nGih3yl3x2f0exJrRTktDDlagOj8couH+r+bTeNY40kblkDYqB3d+Po3XXEHMSXr0I3QIoOKQmcY0\nI1/O6ZrmVtteQ7W9mkq7XEx+U7qdp9K719cf0VrLV0MvpO+n6+V8owPqhNMypqNXj+GruvEZWHoH\npI4Kbs+ahvA+7/9onnkaAAs3lvD4l/lEW+S9chK/ALFJajB1LtT4IzUBDq0t7tLWeUcdkdAzUfme\noiLce/agmM0oEREI8Vngb1D6/+jYY0FjaRNl2yuJSLJy2r3T+OiWz2kslSqP/66aDiGEEMLxR4gU\n9CDKtklfec7ELHZ8JmMnO4zzJ7GVS5WPuUh7GdBQDG147Mn0jS1nyE0eQC4+h2oCwXGNvtEvrBvA\nsm1TOGdfHQZNxg8oisZOcx8GUkejSceSPjGYwkqY+0U5UE5Zn5HsrT0FgAhjLfSxotbLgLg95t7o\nhZsJ07dwuP93dNyx8bd34D5cRc3hJFJ+Jw079QeBTht4d3schjA5r5KWEhbsC6hYT26qZEpTBZvM\nt1MyZyxv730TgN8Wb+P1vlOp1sVzUpUMkGyzSLJkNVi7JwSaB1orIMrnr/c4YOsr8rjCF4aSMBCR\nMBD6zKD1z3LXj8mEapW798e/lDv8Jl8VxISIrhLKivoKitK9uBLwo1H3oy8djrEHggy9tbVUTzoZ\nNM1Xy8EBQhaiUtTnUJSsf/keJVvKARh6towPmXTjOPavOkTulBz0ptDPSAgh/K8g9L+5h+Bqc9FS\n1UrqkGQ2v7+DvV/JVLkmn4zuGGUL75inc6H3bR733oqiCDR3OLGnW8GXmtdiC2PZ3Q/y2aZBvLAr\nhZQI6Sr4vqAfkU4vMZ1qHezvV0K7MYUF/eOw+360p22Tpn8NlR0xgcA5s74VMSwDS4yJ/MMpHDZn\nMJi9rCi6leFnSX+xJjTy2w+RA1jmmiHJgn2tk0cnZwb/oUIhMzKT4pZi5m8OSEuMMESjQ9C63cqg\nyybydW0gfvTZ7JN44/S3ePjliwPXURSuGXIdk3pNplt8chns/RBm/R1GXAOPJ4Krk4pfeCLuaQup\nmXYK0dpLtL0r0zUjbpbVJBvtri6XjLMemR07AUUZ3qVfB1x2+U6T8xKZ9tuJWBOsrH5hPWXbKzjr\nkZk9FkvgWLYcJUoQPT8ax+cKQrvdf05Rxh6Xe7RUymeTnJfo/7fjOIQQQvjfQah0cg+hsUSaWjW3\n108IANalyR13b6WYCovKXM9qzjPKsrZet5WkKDnO49QRaZWpeqcM3UN88g6GJbioaVOpbo5mWFXA\nZC0Q7M2V7gm7SU+Yq51frV/A9WtkokdRcvBC0TJosL+k8Ly3bwYgxhhNXXsW1gS5q/5i5wfMv60P\nX52bRPRTMvjvZXNgUTB7cugbnYvRUs8Nw27q8vdntMj5uKqMGIcNo6ihUI7zejg9exZezYO5Wiod\nLjw3lfSIDGbnnEmUKarLtWg8jHfLQlldecmNNJ8RR+3HZoQG7no9bWWxiF8/Tc00aQlpuv0xKS1g\n1BFx+28AWLxN7nyvnWphSv/djM4+QJ/k/qi6zaBcCYCiTO16706oOyRdOkl5Cf7nNOmGsVz80twe\nIwQATb/7PdabwzFPNxHxRxXoIFzjj9s9GooaUVSlxzQXQgghhH8PQpaCHoDm1Vj2uEwbrMoPpKot\nGebCIaT5eQAFvC/OBeAk83pWMZTTM3aTHlfPqmcUEsf3Jm+UzLm3GgXvzpLWg+21RjRHBBktgQBD\nBQWvCOOPS57AnhCOzRHGqQWyVLB1eCuuhFjwxRqEe2vxftcGZ0dR1hAQAqr0pNGHKiISw6FqBxu3\nvAcx0HRpFCCJyg+VUstfNI3m1Yvu5qYVV5NoSSQzMqvLM0irl3N31RjRMtJo2tGOQfPSy2kjvUGh\n7uRpzNLkTr8+1khGZPdpfFpzM5WDJtMhN6yYNL8UcsUrAT+G4f5Hg8aJZkHYBTPRBDy+eA+fbpYR\nltMHVnDlpPeBASiqdD8oyo2gjAWOHksAUHtACjIl9Dl+ssH/DITTiWPptwCokfIZ6OLafGf1KOoj\nx+U+XreX2oP1xGbFhFwFIYTwP47Q//AewJYPdmCvkz/WLlXhncG+HbYvECyZaqIUG/Ma14ACTXr5\nWk7KqeKvm6IZmtWXvFGburs03+3KJb0yAqMWMH03xzZiblUYUpEvlQc7IeqkFhrz09CrTs7Lu4/W\nb4049iu0vNLOrW1XBTo6vejNekx6O7w8HGfMRIiJZFyqJB/3ronFoykYXDrevPR3NDnraHY1Myhh\nCBaDhdk5Z1LSXMLOuh0A5LZJK0DCinWU2MrwAqc0lrEyJo3MhWsJK6vzhybUxRs5I737Xbpr1edB\nnzsIwZFo+l3X+IDVYy9k3YfbWZkfqOCYHlcEAhT1XhRFWkuk4t+oLuP9c/C5DfYtk2U8/l0VApvu\nupu2jxYCoMsKjm1Q1JdRlOOT+VC0oQTNo5HUL+GnO4cQQgj/1Qi5D04wCpYfYNtHAVGZA7FdK+Xd\nqrwMwFDlICujU3klVQZzvVgYw7pKM6edFSAED64NmOyb28L4cv2FDKxrD7rejgkbuWzpzi73iZrU\nSJMjmYb2DKLNFZhbG6EcRKvGzr9HU9UsF7c4i4GRhfVEcBjl8QQcio7SeGkOTwn34vAo5DcYMHlU\nXp/+IuHGcHbXyb9xcILMaLh60K/ZWbeDGJeDeVX7yXK20rAiBl16BofqZYBfjMeFU9Vj0AUH45Wn\nmsmJDmRZuA8coGLgIBpvvZH6G/7P3x429+iyFa41MmbAMDTAe/+y1xVECGYOiQPhq41AOseKBTd+\nxid3fEmzr5piT6YddkYHIUAB4/Aj5QsHd+n/c9GRZRASKQohhP99hCwFJxCaR2PVsz/8aJ8800am\neWQfkWDiyeSAybrP8nGkHc6Es54F4KYFp1ERtoOblsdjaRjH2vwx5NW3E98eXPzI6G1kwo78oLbo\nyY2E57WxqlgWPuoTs4HajzsIhkKdNSBV+wfHM5QZRjIg8VveCJvKZ31kytmIww4yZnvZW96LUVFz\nuHr0qURGSDN+hU366HtH9cYrvNy/Ri7et5ftYKjdV4Bo0BgUReFAyUoAXD4hHf0BmVnhMKmYnRoo\nChafyqJr1y5qZ84CoO3jL/xzTHhwDvqrElBTw3EuiybyfjsNlzZhPseM49OAK8U4wUjkAxH8adUl\nQZpOo3rHcucZtwBuIAFFObbUQc2r0d5JC2LYuYP+JUGgnwutPUAE1VgFxSiA4YAXRb32uM7J7qsq\nGZH07yE/IYQQQs8hRApOIBpLm7q0tRqDzbz3uV7322tKR2T4zf1Reo20w1lEJDX7+1aE7cCk0zA4\n3LTa4wGFceWBlS46vJjNqToeeiBgmfgheySjzfmE55WjCR0HGsYSYawhvW0HbZ0MRbXWOCxKK04R\nxnC+YkzeIq72PklJZC3hbAdgTP9wdGoTu8oymTf8AlIjAsF01W1SOCfBksjHBR+xp16WtOggBAAi\nbTxCCJY3FaAIQZlJLjKiqJiGGAPrx8Qw6+saEAKzXlpUOgjBkdBf9BiIk4m80wp3egATSTsTUCIU\nWmJU2l6XC5liUDCOMHJ4/VA/Kfjj3MGcPjQVzev2XW1Qt/foDp11CQbO6sdJl4845rHHE54DgQrk\ncQueAf4MSi6q+vvjfq+2BvksLbE9FzwZQggh/HsQch+cQNgb5G7OFBEw7VYfkbeeo8pFps1k4JaK\ngLZ/tiMCEFz4d5nLv+lADi9Pa+CRoU4eGtpMdV0CpxbXB11rpzGL6pZgydn5064jbIxcDe2uGLzC\nSMKwetqWBr/6qshE2jGTRhVGxc3OXQO4acE/CE+UhOC0b6qZcZq0BliMLhIjg90gxS3FhBvCiTHF\nsPjQYgCMWiBFsmVTBIYBQ9jXkI8LDavXTbXJwrXxZ6NvslGdZCK+Tpr8x65vRCspRTiDizp1IOmH\n71EsXfUB1JhzUXQjifyDlaj5kzGOG0341Vfg0f5IcZ1KakwYy++ZzswhKUHjFPUvXa7VgfX/2MyC\nGz/1q/dteFO6G9JHpDH+mmMvkHS80UGWoh7+M4Z+8julkPljQ342bHVtGC0GjGGGn+4cQggh/Fcj\nZCk4gXDa5KLmbHWSPDiRxYMWU7d3NoPZw6/UD0lB7q6/De/H8qSADK1Zp9FQkEi/hE72bhUe+OQy\nthZJX/vYshbSm6TbwKUTGL0KfUrXckP+l/4h8y55HKGoJJlkOmBJ2GgANK+Lj4adwcGELG5f8Qom\nr4v1WcMRwkACMqI+7odmijICSnVzfqgGpLvh290zmXtSgFSUtZZRYStnZNIolINLubzmAC9HxDDP\nK79e9nwLrVsjiRk3nL0/3AfAyNYaVkan4f3rU4CUNZ5TEgds54p3S6l+dyJqQnBgW+qvy9FcKrrM\nbDTvpV2et6KcgaIOQ6jVhF8Qh/VCef9PNpUCexmb006Y4ULgFYTo+NvGoSjd/zfQvBo7P9sLwGd3\nfUXOhCy/Kf20e6f+W9wGQgiELaDHYByZghA+PQjl2C0e/wzs9W2Ex/eMMmMIIYTw70WIFJwgOG0u\ndnwaqPj85dBPKGlTAYVhyh4mKhv956qsgvzwQAS7w6sSZrdiiZHaA4drE6DK7icEAAPqAz5lh6rD\n6PFyaidC8NKEy2iyRDO1ZDX4qgC7Y6MBsC4p4fyS9f6++WmZOLMOQe1IciiidomMLyhLlwvntBW1\nGNLlznzhxjGEGYNrEOxrkPELo7f+Axoe5FTg1E7n3Y169DNncP0Pt9Is5I57RkMpu7wJDNnZQlWS\nCXO7F3f/HFi13T9Oq5Xpm7pEC9EjS1Au+Qxd6iiEthTo0HoYDkoyinIjiuJLUzxCgTC/Qrpg5o56\nGqhBaFcB0uqBcvR6Ci1VAVLWWNLE5hI5t75Te6Pqe97I1vLYX7G/8y4xzz8HRoj8vwj0A+71nZ2K\nogw47vd0t7tx2V0k5v570i5DCCGEnkXIfXCCsO61TTQUSTGA5pgmqnQVeJ3SGtCbIjwiYP7eYQ38\n4Bp8JndrUyTRWXLX/u2OwcRukHn+vVqcnFwciDMA8Kqgetv8n+8+6x6W5k0hk1Ju2f86AGXmkWxc\nKjX/TS2B8QL4ZkIf2mpHAnCa7TtcpdI1kJ8rF9lhO5rZfeEFAFS3RNPrCN/y+3veAiC91kZ3iB7f\nQt3MUX5CALAgoQ9TVtVh8Ag2jYpm+nd1bO3l6TJWn9efpCs8mHMt0Od0iEhFiK/85xX1cVT1IT8h\nOBJFtTa+2CoJQFpsR0np8sB4jl4X4PAPJd22D50zsNv2E43WZ55Fa2ig/uJLsFwQRvhVgfegKCdm\nTnZfPEF4KJ4ghBB+EQiRghOEki1l/uO9E6QfOq9eLnoZSjkfiTOpNZjZFR7L/rCAap9b1XGRG7Ic\nCpOv+w4Ac00jG21DABhd3UJOUyehIuFl/P5FxLZtA+DrvCnsT8xhCHtYoLuW1BlVlLfkET48UOEn\nxiYXO6dexxtTrmd1ZEBeOL220n/cOEYG0fV7+T0mXSJdIQ02K2mdFoiSlmLqnI0YNC/99I3+9jZP\nsBGqvCpYTChsj47p30nSc8qyGjLPvnGE18cAACAASURBVIzNUY0cicR3n0RpPQzxeaDr8GnLaExF\n/QBF6UbxsBMWbQ0QAJP+SNJhAmV2t+OaK1rY9K58pgl9A6Rt6NyBxGb96xUH/1kIhyPosy7zyJiK\nrrLNxwO2OmmtCo8PkYIQQvglIOQ+OAFY/8ZmHC1yEa3MLKUhTgYEVmqpAKRTwd3ift7P9aCoGmF6\njbdmVvPwhmhSwr20b7Qx6bId/us5E8KosyTDTkiLbKStTS6EMa3F2HUuelevo7cMT+BAQhYAL+t+\nB0BR0wiWHroVfMHqYy9bhmmTnRWTk3h/xijUooBIz33KfLQqlcNZFp65fCyatg+doiMhtxFFrAGg\nfafGpGkBX/8ty6Wk8bUVezAISTyKTFb09SqWuICA0AEf8Qnzehj5QxOXLAgs1pHDRlNw/emUb/gz\nb75+MXcOvJXqMePQpaaifP+gr5M08wvtQ+Ag0A9F6fOT76LBF9fxwNwPAKtUK8SLol78o+M2vx9w\nY/SZnE3t/jpMViMnXdbz2QZaayuV/YNdA/o+nf/rZoBy/nG7X4eFKzYrxi+6ZQ3FFIQQwi8CIVJw\nnOFqd7Pzcxmc1h5uZ+uUdQAMtdWxyxVNNM20EUa9PowEVQPg5qHN6FX449hGqGrnjdW3kvPrVwG4\ne8ElVDZHYW/0MKGsibZ6ubiOy3+J5PD9fD9gKvhCF1SLF7WPl2RfAGOLM0ESAh8ikpqJXiiFkF7P\nu432Ihk4GKW5ucixmDOs31JSlM6HN6ThTKoHDaJM0dTVLiLBt1m+5dUXSfnTvWg2G02vvkJHwPv4\n5ir/fb6JzeCqmkKEBhWvpZJ6TQUHwqLQa17GNVQw98Ngi4DlrLN4fpvUYgiLS0LfqxcJX32JLjUZ\nvvIFFJ7yGEJU+YLqTCjdpN7VtzpZtLWMSydkY9SraJpgw0FJyCb3zwfCUdQLfvId2mptHFxdRGxW\nDOfOn43XoxGRZKXXsFQUteeDC22vvOo/jn1zPqaTy0F9BwBF+R2KetFxvd/C30g9iBn3TKHUV9kz\nRApCCOGXgRApOB6w18CGp2HC3TQcDvj2S/oe9B/fd2gbU0USA9jHd2I8lgS5EzWoGuPTfKl3Bc04\nPqhH9QZMwxsP9cXcqjK3oB4IpOjFthUTf3Ed56ofoWUoVHySSsolVTxMwEz/wZ6/BU2zIt4FX9op\njU6h3RtQRrxG9xLnRXxJ2/4w9HaN4qyAqbi+KoKmygIS4qFujvTJV6RnghDsPtcImXkMsDdg1Ty4\nFJVXUwYw/vlWDHPBXWWgIcrIjYNl+py13c1ZjzShCiAnGw7Kqo2GgQNIa99Lc30zvyrdCktUuhQc\njs4C7VtAQ1GuQVG61iX4yxd7WFNQy+6yZp64dAT7KltotLuYmJuPSe9BUY4th3/lM1JMKnVQEoqq\noDfqyDrp2BUPjxfcBw7g3rmLtk8+9beZpj7WqUfecScEnbH0Lyv9xyH3QQgh/DIQIgXHA0tugvyP\nYc1f0BIv5IoRn2DGzcMpEwC5s39FXIYXHX2UIg6bI1ANkjzMSkjilEev483rnsO4qYHPdz1NXG8p\nxfvRhnE43EYuKagOul2f8hWYUpwoKuTXnczqkquYcOpb9PIF0Dk84by18/ku01yoG8hH817hsk0f\nApAWqaNfy0pOV1YgBDSuiCW/vxQUMikReBtH8Yen3qXvNhl64t7mCxQUgvUnxfDWVFm0aHpjGTvq\nE9k2djTnfhJG1O0DUIoexFllZdeggG5C7l47Rrd0MZiye+P0kQLjiBE0Ln8Zq2ogdsf7XeYtFECs\nRwgpB3201Lv6Vkma1hbWcuGza3B7pSXm9KHbZHaCOrPbcUeitUYGTPadkvMTPU8Mas89D9f6DUFt\n+rw8Ej5fCEzztynK8ScEXre32/bI5FB1xBBC+CUgRAr+FSyaB2GxUBXwP6fWLPAfm/R2IIrG/PN5\nWyQDYAivYENOG2GK3HW/suxshNfMRc/fzqz2bSQAvWdKf0BRXQKIQIBgQlMBww8uoD0rhvpJERwq\nn8L26jMBWFt6GQMTVgBQ3hrwP/eeUMCOXiY+2zMa4curf2e0NKE/YbuaLJ0MiPS06rCF63j2ZrkQ\n1pUNwVE9gN6zbYBc2O8/404e+vKvAHxyUSDav3d7C717GRh60SK4WIFld0EReK1DKUsIBPdFtkpS\nEf7reXj2yZRC1+vzeXjjw1TaKxmhHmU3+ptXEdrNnRq6T72zmgPiOsV1gVLSJ/U+AMrN3Q3pFnqj\nDmO4kYQ+cT/d+ThDa2zsQggADHl5KBYbQvM1KGeiqEev/fBz4WwNWKNOvXsKFTsric+JQ2foKhYV\nQggh/O8hRAp+LhoPwfY3Ap9jess2wKmo3Jh7MrX6cNw1ubicyf5u32VpqEog6UN4pdqhV9PxjW4E\n8yKLGTx1N7WtESzbMwSr27cKeO2ctP8t9FFunCNS+WHfXbi1gLgQqHzvnEiJqx+eEhkMlxO3mf4v\nfsrfz3gId0zXRJOMTql5W4yJPPd//fyfLY4sxqdtJ+oaSQhe2h7NoMucvBfRC1tuL2zGgE6CxeOC\n896BdU9AyRooXAQ6E63fH2Ljo0MBSKx2MOPbGtw6MJ98Mg0LF6ImJPBJbBGbyqRmw4AKGe3PvPWQ\nMBDKN4KqR4Tv9FeUhIEoSvfkobq5nWiLgaa2QOrj1ZOXE25yAv26HdMdbHVtsmR0D8Px/WrqL76k\n23NqTDTgS5FUrkFVrzshc2hrlO914Bn9yR6bQfbY7ktYhxBCCP+bCKUk/lw0B+ewH1Iv5rBPNGe5\nNYeyhnE4i6fQWBGQ8elFOfUFASU+e81wAK6d+i0Tc/Nx6VWUIfWoquCzLScR39zMefl1GNR2eul3\ns3rITWhnRLOq+NdBhCDWKc3w2w9fRtv+Sbi8ckFLXrcJHEA3sXGP6/6PhYm9qTDKBfaRUcNpiTQA\ngjlx2Sy6/QkevOZjAPL3x/BNiYlV9StZMzGO7YnBVRkTPA5oKYdld0pCAOB10nDSENxGlXHrGvjT\nQwUsmp2CwQv1l1+BaGpGMZkoawxo+A+0+3QE0k4CYzhkT0Wk20FI8tXmmoii/qnb1/HF1jJK6ttI\njg5jwS0TAYgwt3Pl5JUAKEpkt+OOhMvuwt3u7jEFP62tjea/PErVmHFdCEHsiy9gHD8eAMVkQghJ\nmk6UnDEEih+Fx4ViCEII4ZeIkKXg58DrhprdQU1Pxa6iIXEw7+RX81rbLTQ39Q06f5/yBA+L2xFu\nlZqd16FXNDxeI6cO2smVk1YCMP7BP+MeKSPz95anc37LeuoYy/isN1h16EYwwRf77/Vfc2eimTk7\nl9Hctze0grktuB6BQ6jYjBYqoqWp/5miexndext2LHyemMaHSf3YHJnI+MqAyXiiycKVE9YFXWdl\nVTyic4nBTkh12tABdKQO+tBy6t/4w2Cps5BR2saTt+VgaQv2V7vdDg7ZA9aKvu3N0DfYJC58hKCq\nOYrznjmdH/6U3e08Hv1CZnyM7h1HRpyFT297kjCjDb2agaL+rtsxnVGxqwqP04M1QZKBnoq2b3v3\nPWzPdY3/SCnchxoejnH8OFqffY6Im68HMUOeVCaekLkIIfjmEfnOQjEEIYTwy0SIFPwcLPs9bHgG\ngLoR1/B1+SqKTRGgKJwz6HQqd/TtMmStOAmBSrSllcz4Ov520duszB/I9IGBioa3n/YlvRNlUOGB\n8njmtGvkZfwDW3tXtb6C2DA2p0QyflQkrUtSg4wBAyZtoX1BPX+bdRW9NJlSdtbObxg1cDuKApYz\nE5iaGcmHq6DAEkNBp3i67Kg4QFoe2j9rxzjDwlpbM6ASYYjAqDeRUFfI/UWbMYUng60ckodD1TZI\nGsqhGX/ltQOfsrvqO/81cw7YWHPxMP566gtwh4f2r77G9tJLrJg3CpDk6iFDIgahwTlv+8cJUYvU\nJIBrX7seTYDd4SHcHPja/rC/lue/LcSrCUx6lXlTcoBWkqLqgGGoukA639EghGDx/UsBGDRbKhz2\nVLS9pyTY4hR53/9hOf881HBJSnRxcUT/6Y8IsdsfT6AoJ6aE8f7vDvmPUwcn/0jPEEII4X8VIffB\nPwuPw08IAG52FPNRYh/wBfH1r9GCukfRzHTr+/Qd/BXv3vQYS373KC9c+SpWs5PZw7eyrzKgvX/+\nmHWMyDrE1y+dypC6ato9keTFr+JQ4+jA9SyllFuNHIiWsQjPlJ/K/siAvPDASzeQptvAorxBFFnT\nWRM5BoBLBi1EnfEnGH41DIkjOUqQGxOsgnfr/GLio2WA3sHNd9N0awtL3hiJ3a2Sak3jhWnPMCAy\nm/HNVVg1D4bWMgzxA2Due/ICycO4ffvT7LYFFjprq5uWCAPnDr0MNSwMNSKC8AvOJ2n5Mg776im8\nVF3EkNmvwx80MMv6DEK4EdplAKwtHE2dTZr/VxfW+K9d0+zgt+9s5WC1/PuvPjkHs0EH+KpHKt1b\nFY7Epne2+Y93L94HQFxW7NG6HzcIhwP764G4lLgP3ifihuvRxXdTZ0BIooZyzQmbT90h+dwSc+Mx\nd6rsGUIIIfxyELIU/LPY95n/cGl0Ju06+QhPXjSTcdNP4qtWaQqOUhpp1qKxYWHw9DYuGKoALV0u\nNzyzCKfNRHuzhei0Rkq3ZlG2NI9sQIksobI1l0ZHLzKjtjI4aQGXhL1IcpMsiFTt++Fek51DVUM7\n42ubqInUc8fuByArcA+T6iTjfDOi769AnwxIP/Vjkxq47bs4cqLd3Dq8hZ0F8QzuV4DN2Zt0VxL1\nwIFoafL/vUsj4vEkuhjiz3kHGuVuvtKaBC21/lMXfFjGuPWN3P9AHu9kTAegvr2OR9Y/zHn9zqe8\n6SDhXjdJgy7r8lyEeICOxf2+hbP87X/6eBcWo56XVuz3kwGAWKuRC3xBcUIs9bUeW/ZA6ZbyLm3p\nI1KPaey/And+vv845umnME2c0G0/IXb5nocORZl6wubj9QW1Tr5p3Am7RwghhPCfjRAp+GegeeET\nGQzWdv5ant/3MACTPz8Na1Mkm7/YjmOI3OVluuoYtdfF9sRwLhh6CIdLj9nYteDPlgVjOLQml+aK\nGGrPq8S7JhlpuBWUtQylrEVG78duLeTOyX9iSnkbqXY3rYZgI8+B2DDOuvRbHvvqrC73eOqKNyEj\nEsHcLueenlrvPx7yexk3EGG+hOZvluJVYXt4A1E6E5lbXuv+mdiroWIzryf35/MW6Qqwtrrpc9DO\nqC1N1McaiE7J8pcZ3lazjQNN+3l0wyPyObkdKJknd72ukBkJi7aOwumRUkYx4UYa7S7ufH9bUNf3\nb55AtMVImFGPEDYQrwCgHMPXu7mihfqiYIXF6F5RqLoTb0Rz75WkIPrxv2E579yj9hNCiimhzEFR\nco/b/VuqW4lItPrfTUedg464ihBCCOGXhxApOFYIAa+N8X1Q+H71fkiAXuVRnBy+mq2tp7Bj8g84\na0ajx82QfBmoNaxG/tDW2SLpFdvA40vOZMvhHK5KeA63IY/KD+U1K2NVvto/jBn2RsCFXnXi0WTg\noN7Tjs7VwOQyMyhuIu3lKJZknv/oHrY/P51XVp4CwPxOhOCqwUu4fPZGzIZAet6xIYu292zY3/gH\nf7uzLy2qk1m6ODqy1LdY4xlpqwt0f3cmayOT+TwzUBPglucOkV4uC/hUpJqpaw/031W7M+huE5sq\nIG10UJumrQQaKG+M4dHF5wDwxrVjqW5xcPcH24P6Th+YTHaCFSE0hHCBWOk/J3B1l3gByLLIX/95\nBU1lgYqRV7x1ARvf3krOpGNzO/wrEG43TffIoFHDoKNXOBSiIUBylKuP2/2LN5b6gwpnPzSDlEFJ\nNJU2Y7AYMFq66EmGEEIIvxCESMGxYudbULkVAHufK1lWsAcS4LqGjQxJOogtu4Sz6wuYw4VkiTKM\nIuCT/e7tyUw8T0b0tx7UuMX9J571DGf6gqmYdDZSI/Lpq7fR0DyGXq0ywK2DEABMyH+RFYNvQedb\n4pKa9jFp798xDNHT96QfeG/dBOzOQIrirLi1XHPO2qP+Kc1Ola1ntDJ1WdcdobANpumueyhNM1OS\nIefSq1paAO7pPZZhOgsj968IGvNDVCAoLbLZTWploKJfcYaFP45/AHa/T2PpalY6SujlbOPC6gIU\nYNKFS0ANfA0XbdnN7GHSSbFsj6wMec6oXuSlRZGXFsWXv5vCa6sOMiIrltSYMAakScVIIf4KYmHQ\nvBTl6HUONry5JYgQTP3NRMyRZibfNP6oY44n3Lt2g1e6ZgyDuldoBBDaPP+xohyf4D9Xu9tPCAAW\n37+UaXdMorXGRva4kC5BCCH8khEiBccCIWBpwJv+7ocnU3f6ckyahyG+6PgpbRtZqM1GoJLotAEB\nUnDws2G4SqNozzvALa1Pc0PeeGa8I1Pvpmf/nV6RMp1ugvdD/sHf0WsOPGoYk5Jf55vS/rw27ir6\n2AKvKrtampPVJB1WsxOz4sKOJAUvfHAXGV8pQLACXe0pdXgKvbz3QBZ7ksO5r6Sa+guchF8bzgW7\nHuOLOywI7V1cGwfSblb5yz0BsZ9Ty3dQaQijxhBGcq0vQl3RUWdJJt5ezroIuVg9d8sODvYOR9cp\n1jLs3LkMsCTR9tmvuHKgTKmb1lDC5OZKuOUgxAR25TUtDgoqFzJ7GOwqzeCN709j+sBEbjglYDKP\nizBx5+yAoqEQDUBdV0KgbkBRjq7C196p/PSg2Xn0ndL7qH1PBFxbZDntmGef8Zvvj4SmPQmUAqCo\nC7vt83NQ2qmsdwdWPLEagLRhJz6WIoQQQvjPRYgU/BTcbYi/RKIgV7ol+++gYPgu1JgyPtwT2G1V\niEQeF7KMsKspDXDQbFaJcshxpVuymdS+hMcHDCK8IR7Fl/jRQQgAjLp20iN3UdmaS7i+HrunkYXD\nz2bO/nrAS5izkak7n0DxyfvpM+SiFyaagCimFq4l0VlPZJoUUXIu7oPm2YVphhn3QS97B0SwJi6K\n2HIvYQ4N13qNrcVJOM81oShTEI7RNFzZnzueG+qf0zt7lmIUGnadgdcKAn+v1xTJNdlDULyD8Pr8\n76qAvgelu2T3wAgaYoxMnnQhH316Hu/4CAHAyNZaGHt7ECEAeGv1IfqnyBTKv345hz/OHcL0gUff\nHQvtM4T4czdnJv4oIYBAfYOxV49i0Kz+P9r3RMC5VlpyjKNGdnteCCeId+UH5XwUJeu43bupXAa8\n5p2Wi9ftpXBFoHBX/1N+uhx1CCGE8L+LECnoDHc7eNplPYOOppJtGHyEYFvVbEpbB1HU/1POqpep\nceUimU+0WbxLoJ798GoHGrAuNZKZh5r87av33kSfvdDxs9tBNAAcHgtmfRsp1nxKW4YwNH4JTyVc\ny2U7a1CB7KrV9K5ai4KgcEAWbf3jmXmPTP1rxoKVFm7+/g2KTu1Nit5O/r6+RN+4BrtFx0uHkqh6\nIAWbzPajVu3NBVffzFm7lrJm4GQeOHcwDo8D5wsv0BQV+ErcW7SZCE0GR/ZxBDInzhl0OlrH7lYv\nF9+UTi4DAKPTy3l/W4Thq+t5xxLIqx/ncpF11huQ1zXo8UD1bn47U7pofjvrdEZkJXT7moSoA/E9\nQjzSzdkkFPWJbsd1oLqgFnt9G1ljMxhyVvd1FE4UhBA03fE7HN8uQzGbUXvFIIQHRdF36lOD0AIZ\nF4rym+M6h4Zi+Z0cft4gwuPD6Te9D8ZwI+Fxlh4JsAwhhBD+cxEiBZ3x3iwo3wA3FUBUOjSX0vrR\nnXRQhNiwUq4bcRWm5v6c23gYu7BwrvZG0CVmHZBSvUXRJioiTPS/YQ2xHjc/vNI1lWzOoIcDt949\nn6uGXk9hw0RUxc1uLZyxuyNQgfGHXqTPqzacqzVs8+G+MXey+oEHAAWtvA23MwIjLlzXK2TfIF9p\neZGZaCA/L4IDfYKFeEalzeAm7SlW6MK59HRBXXQFF35xNVccbmT1PCmhO8DewJhWSXwOmiPJ8ZGC\npdG9AoSgEy55rzTocx6pGGq+pLZkJfSfRpjOzN+mPElqRCp0s4vfcLCOyycESgSPzE7s0qcDQrsW\nfx0A+gBSKllRn0VRjp5OJ4RgxfzVHFxdBEBy3tHvcSLQMv9JWp+YLz1Leoj5+/kgpiKYgaI84ptj\nC0ILEExFuRtFOb6aAfWHGjBFGAmPD0dRFFIGJh3X64cQQgj/vQiRApAxA0tugOJV8vOONyEuF7Hw\nIrT2dLBAuzeKzKgdAFxZJQVuFkedA8HZbMS2e9AiXZhnlTPcFs3EU7ayr96E/YOTCG8NBPYZ1HYS\njdJsu6zxXDyamaWHbqHJkUZa+3b2tfdjzKFFWJyNJI+twTgyGuNII5UJFp4c9zYHaxK5/MXbuCBt\nKQ7M5KTVkDkvEZDBc8Vf67GPiuYfVwZ08vPsjTx0yt8xbH0ZqpdzoQruymiebZP5/MsnGig3y139\npEaZu9+kM/gJAcDz6UO6PL6x6xuwPPIAXPx7f5sSYUEsuYlfD5Y73osHXEZ6ZHq3j9/jbSAz9hIS\nIyWhUtRPjvampFmdgDiSor7jOzogBX6Ujn4eEO+DchqKkogQTqr23sXB1YEsiT6Tso56n+MN1/bt\ntD4xH122jsRVHeJEPj0FsRQh7gUcCC1Q3llR30ZR8o7rPOoPN9BS1Ura0JSjxjKEEEIIv1yESIHQ\nYPXDsOXlQNvKPwBQ3ppHUvgB2tyRWAzNQcNcwsDTjRcDYIouRFE0BhQkYtQEawcYqbXVsfhXH+P2\n6nh06RSGOSKgk7tASSgGoMUbxaHDs0FoFDdL//IPcZlc891TGDQP4QNshD8W8L3nXqoCh7j+Dals\n92G59NV3lkue98r1/H7JfO55PBA8d9/hTQy2N2B4ebi/7bWUPBaJOmiSKYMdhCDP3sCMRhmMFu0N\npDSWromHwfI456CddrNKfL2LWV9VM+SBs7Hd10T94k/ZEFZF2+nh9G8N7EAHxQ+iuc3Fnz/bTe/E\nCG44pS9rCmposLmYNfQ8EiOlm0JR/4Gi/FgEfEDREOUCFEWP0N5HCJ/LQIxGUeJBfIwQT4N4GtSV\nIL4k/5uAxSSxnxtL7L8mZSyEF/CiKD+ewidEO82Pnou+nx7jxKP13Y7QOrkJlPOB46dJAOB1e/nh\n1U0APR5YGUIIIfx3IEQK9n4EK//YpVkIaHdHYdC5MejkwviqOpsvB3i403CQmgPZtDZFYFRbicr4\nhrjaeIZVTmN7YjgF7VaW9/8CiOSD9eMp3D+Z5gwXZxxsxBnjxNRoIttUAMDaw1cDCklN+VTHSP92\naVQ0Bs1D5LPRhM/pZNr1aKBXwenF7gw2KQ/NKPYfX/331zBpdv/n02tLGW2rDervVvUsiu8+H/+q\nynz0gVrFtGyOwHbQwjOXy0Vq1pIqZi+pDhpjU9ysO20AzycvBtKBNogNBNFlRWXz+srDrC6oZXVB\nLQN7RXHn+9uIDW9l9jBJCBzuZCzmo6fnSVTKf5QzUZTfILSPA4QA5E5bfRwh/uZvszfcwhf3jqa1\nuj8RSc2c+fBHWGLa0LQqFOWWY66g2BlCCIR2FVAIykMo6qk/0vcN4t6NOaJ1Aop6B4i9CHFfECFQ\n1NdRlK4WmZ8LR4uDH17bxIFVh/1tmaO7t9qEEEIIv2z8MkmBowmKV4PwwMdyt48hHGY9BwYLLLyQ\nVlc8ObEbgoatT4ynpSqbqjHxPLb5UsJdXi7Mb2O/ZxC9DmVSGGtma4oVFQ+Nuems3p3JC8ulObja\nasSpwrvpaVzYWs/g8E1oQke1XYYdKkLmrDcb3GjCTWteDClzArtK76MF6JMERBjx7muhXIshixLc\nigmDx0P/FGnurxpagxZr4c+3ypTCmfXFXFFxiDs8z/GE8WYAPK5onph5E9QGKwN24OvYDPqVS8tD\npc7CgcZEHv9zP8mUgKHbg60m71yTyw9LLu72WmFqJDOiH+KMv66iqS1gdXh37af88IdXgvq6tQ+6\nvUYQRIXv3zzgS4T4S9cuWrAYc8EyE63V0goy4ZrvsMS0+Tp+ihC1KLqnfvq+XbASkJkjQjwMWj0o\np0grxZHz8XzRJYxCUR9HUQwIIunEv1DU544rIdA8Gu/OW+iXMAaIz4nDZA0JFIUQQghd8cskBeuf\nhO8fCnzWmeCuJlA7frkvJNJUFzTk25ar2cNshDeM9z7MBjNktMiSw313yR2+FS/nVZYTWaPn9odv\nw25Q0Rs1PDqVaazmlmGPkKLNZnTOARbmy1Q6VfOAClWxgxEIvshNZYB3D94XM+nYFbc83EqUZmdF\n+USGiL1U6vrh0MzkpZdz20XLMCxrQlHMNN/Twqtnp7NlZGBXOqK1lvalZm6IXYYjyYQ508n3h2JZ\n5yMENxzczWRHORsjk3iy11BQFFbEpjOyuZZnUgYzenMTFWdb0Hk0vHqVnIN2dg6N4r1L08koaWP1\nxDh/MSgAly0FV2sG1hRJqKqKRvNywwH/+SsmZvPWmsM8dWlwgOYLy2dw04wfr/4nhA0hPvd92ocQ\ni9A8KlX5qaQOeR+FTxFivr+/otyO0DT2f9eIomrMnZ9PbMY1oJgQ2p2+Xmt+9J5HnYvWoRuQCNQg\nxOMgPkHRfRg8X+1eFJ200rh398MwOA9FOQVFMfjmGA3qMoR2A4oyC0UZ+7PmcyTcDjftjQ5Wv7Au\niBCMu3oUudNCaYchhBBC9/jlkQIhggkBIK5YiBBng9cOTO5SOrJm2Bg+Npch1kqBoFJzAlaXl3Hl\nrUH9Uu1usMtHeurhQCoiOhe/HiJ3tOepi1lZG1Cp0zqp+SkouPQqj6Y/TmR2LwAaLm+krcRN1KnQ\nZjPjtuq51/AH8ECvHBuRYQ44U6ofNmz3suWGYDP1CFstNWXJhBVvol6JQ5fh4unfy7z8jCI7L+QM\n4i1PLmOaq4MW979ly4C8NRMTuPvRQh69W7oOJq6p54vZyTTEGSnODPjkXbYUvM4YWssnorfU+h61\ngqMhoAFw1eRsrj45mXaXDZMh8xizmgAAIABJREFUUAfC7dVR0/LThX6EeBToiJ1YBMCGNyeyZ8kw\nptxaQe60S1C4BE17FI/zU76bb6V4UzMQTe60PcRmjENRT5fD1U8R2gW+63p/UtcgMAcB5Pvnoah/\nRWhX+s4eQoiDKIqvFrVYDkihqZbHWgm/4AFUteuCrCjRKLr3j+n+xzRHTfDJbxfTXBH4fio6hXkf\nXhpKOQwhhBB+FL88UrDsrsBx1lSY8gCkFYCohBYXuD8K6l41dQi3bL+W6tpYOgvpT++86B8Bp07B\n5O1kE/YaKW4eTpSpxm8hABhy6CMOpkzBHibz8VdmRDJj0HYi50pCYHvezkf1J/PWtPMRmgoWMCpu\nXO1yl3nGsK14yr3o03Ts3+DlzhsCkeoWj4vBzQ00r4oGr28hEApv3X8lOKTZuyRLZkPY9UZWxEkf\nc7TbSUSDh9KkQKZEByFQNEHeYRdvx5tlgCYQ4XFT15ZD06E53DjWyjftLg7WGbmi73W0tqbx4g5J\nEF69ZgwDU5cixF+5faYkDIqShKIuwNau556zfvyrKIQDxNfBz9lmYs+SYfLZPbOWlc+sZdSlw6gp\nGE1kymiKNwWqHw6afTkogRoDipKOUE4B8RVCPInQKoDvgeEo6stdIvOFqEeId0C8HWhUzgFygvtp\nF4LyW4TYBKz2tzu+1RF1d88E9x1eVxxECFIHJzPtt5NChCCEEEL4SfyySEFbPaz3mZcv+gJyz0B4\nKhDF81CWl6NUtPm7ejQD++JP47oV1+PVdKCA1eVBSzhAVFk2cQ65020dV0zT3j5YnII4h4dG4/+3\nd97hWRVZA//d903vpBKSQBKSoQtSpYOArALK2rtYVl3LWr7VXXWt6KrrWrCiu9YVEbuiFAFBRaRJ\nD2VICAmQ3nvylvv9MTc9ASxAgvN7Hp7wzpx77zn3LXPuzJlzDHJiDeIPufCttRHic4iSmhh25p/O\nofLGILrY4o3EFW4htnALex4fy1t5k9hX7ssLU79qkHl5/VQ+O+3MJgaY2O0ucHkSF5XODat8OXN1\nOQdGBLLDs3kkfZWHFyPeq6R2j2rfF+9H4v4qijathb7tB9Zd/upBeu6rwuFpkBnny4u3NA56wzYU\nk/zJQt5ZdCYLPe2MzS/mRu95lFSqWIGZE4Zz5ZmejdqaJnsPbCM+wp/+sSG4XY0xBIZhYhhXYhj+\nhB1+1QDTLMd0TyT1u14UpkeQnRJDQVrbe+s3ztvSqm3aw1MIT4xu1W4YZ2Oai8FsGsuwGTWYj2ty\n/RxM98VARYvjx2MYvpjGhUA5mIst+WeayRXfWIpHxBAM27EflN0uN8uf+g6ACbeNJnlCot56qNFo\njprfl1Ow9W31hHvG0yCmcbCoiugNU7Cv29tKdEfFMB4OOUs5BBaRXnupTFjO1M2jgFhKkyrI2hVJ\nn9LGALoudSah+1xMS36SboFqh8FHux5p5hAYbhcDUj+l0t+H+QNmct0973NnwE5eGHcN5l8PYc4J\noXSVyZK4iZxnLCTezOBTprGPBKrr1FLB6JAPWYkvi8c0HxztbjcBLgf9MovpvUcNYnuT/Fk5IZzr\n/5vBrS+ns7enP8/e0Xoa++FvfyJit/pIbBsQzLigTKbmebA0sgcRFTVcdWAP8t0ZvGdeyHJzPAuD\nTQpL3YCd5fecToCPZ6tzzj5/JZgHrH34lc07jTNbybfENIsw3dM4tC2WVXOmHlG+KZ5+nlz59oXY\nPdteGjCMYWDcimm+0Pya7pfANgZwg/lli1TKAwBfYA+gZilstrstXR/GdN8KqHgKd4U31Z+eR82i\nZwl5YvrP0v2XsukDVYXSsBskjU3QDoFGo/lZ/L6cghwr2l6czbwf9rEnYwEPp6tERBV2TzycNnyM\nWp61Xc6Sfl0o3d+4ZS+5sJJEezmRn8ZiK1fT+5fMf5yvB9+Ps8mYY3PV0SNsa4NDABDgWURRdePe\n+zEpL+KbUI0tHS7YomYGIisKmb3oKWqBnK/yuPGiJ6gJ9OZQ0nZW2uIp2tOoS//YDGY+m0b2H3uw\nu09gQ/vEDTmsHNaV5IoShn+pHAKZ7M+rf0rA6WGQ2tOf+P1VzL9Y6R+RV8uU5XmMzcghKKGS0tUq\nHuHxvyUzwC+f0KwKbspN4YbcFOxAhojhGvechuull6oB54x+Ufz4/BpcdU7O+PtEbB7qidg0n1EJ\nhADTbSWGIhY4CHTHMBp1bw/TPR+3y8n3r0xqs7/3lCR6TUqmNLsMMbEnu5ft5buXfsSwGVzxVvsO\nQQPG8Ibof8O2FtM9DUjDdA9vLWr7CMOIV4mRcGAYvs37DRvYnsRd9igFFyzAmeIEngXA+/Qjx0wc\nLZs+2IaXnyf9pzdPbLRnRSqbFiinYNrDUxreB41Gozlafh9OQW0ZyIWwfR54+LKrsguRJTdwrnsF\nhstkUWh3Xo3pT0n6mZguL0J6fk5V6oSGwydU/0DiwSSgh/UPfGuLcRseOO3qyd3TUckZW/6JR6iD\nqGF5zS7vOgBGoJNeB5fRM1dFu9emqwEluKZ5sGI9dy97iaXXxrHdP5DSnaqiYlx4Ng+e8ykJB9Op\n9S9ntuMHnqwYRthWb0YtzeCDC9Vgv8/RhVmpOezv4cucv/TENAyCHbWcOjWdt9z9yYn2Ydx3BVz8\ngVpzN/Gi9FDjFrXnC1dhaxIy4Y4dy4r4h1iwJrVp/iUALhseh/d/NlK/Az5rRw6xg7qRszsPL7+l\nhMQ0lz+07Uai+5WSJ8NJX7OOUy88hbrKOoK7BWEYBi6nC0d1FSUHt7F7+RbkikB8gq6jpswXDBh0\nbn9OmdkPn8DmeRqiequ4jN5TkhETe+JyuvDwOprgwV5gXIZhDFH1B2wvWUsFzWladVHVKWj91XFX\nVlL14UeU3j8f3I03ynvSJDxiYlrJ/1wcNQ5+mr+VbZ+rmJCufSMJT1TZKEsOlfLtCyqoMVKE063/\nb1NmWaPR/L44+Z2CrI3wziSoswbfwG7Mf20Oj3h+3CCyJlitN4ckqDVhR1UkjsoYfN3V9Iz6ksTl\n45qd0nA7WBnnQVCpyrNvmE4cXh4cmjKc4YmN+ftz3ovCIwZsXkvJ6b+OoRk5ZMb6EJNV06y88PuD\nz8He3UHyIT82h8KEDeu469wHVQrlJmmUn7v0XaIoIveCYryi7FR4enJhpo1lVZVEFDm5ee5+Xrgp\ngVtfVkN0tTCZt3MZj8YP5dJciafpZlW/KCJrq5hVnkLZyi/xnnIpprPxidI10tmwM3ODOZBF5mQW\nZ0yGjDqgO4E+Hnx8+zi+XZVGzgfbMbdubHZvFj20nNHXDyflqyWc/3wRBfsiWDz7Ks59OpXdy+xs\n/iCP+BFx7F+naiWkLGqcUYkZ6MDtzCU7JdZqUTMJNWXKgZr+yBl0G3Dkwc7mYTvqp2TDsGEYdzR5\nnYRpzLDiA3oA+zGMB464O8FdVkb5nOepmPtqQ1vIv5/C8PXB5/TTj0qXI/Hj6xvZvaxxqWvtmz8x\nfbbKaPnxHV8CEBQdyNR7f7tZCY1G8/vipFhwFELEA+krVqwgNtYaUEwTXkyG4n0NcuW1oQR6FzU7\n9jXbDGpSziJd7GffoO0YVT6U7LyWLtVOAmqdnJZfiGedF25bLe6glVRWDGV5z150jcll9DfKp+p3\n7XISC3cSnakq/JXbvCAgAlvPYMrsNm6sbVw6GL26kMveVymEF0+NZPSaIrbHxtN3fz77o+L55+Q/\n4canlY1Du+3luQvfoOSWUmpX1QGwo28g/Xe2PdPg3b0GY3oFdyWNotDLl6mFmSTUlDE3pj8z8/cx\ndncQ8cZP5L5vDbJ+Bl0vycI2MRJzUDi1Dg/+9O5NlJmBFFYENsRWzD67L36bsklZtIugqFLKcoIB\ngyl/G8+qOcvwCa6mIj+Qaxa8iGGDZU9OI2N9T5LGJ5C2ej9m010ZR0Foj3yKD4TR76y+jLx22HFZ\nI1fbDmsxjNbvQ1uyuSNH4zrQWBDKo09vIhZ+gc3X9zBHHj2Oagd7vkljw7ubcVQ7CIwMwOlw4apz\ncdW7F7Hl4x1seFctjV3+xvm/On2zRqPpHBjH4Afx5J0p2D6vmUOQWjWYJL9NDa83BkTwnnkWvb+f\niA/QZ2sfemdWUJXvxN+jaUpgL8r86vjpjOVUBVcC3zC5Lo0D2XV0DYikxhlIv20fEuJSiYye7H4q\na4Kjic+sY/zr2bx9VaNDYLhNpi/KAWBHv0AWzohm4Yxohm4sZt7N8epqGRnUFPdqOGZ62nJGn5VO\nj79vJveRumYmNnUIykM8CSxpDHisPqOWf/YcQaGXGpiWhjXq4VORQJjXXnL/pxwCvwGVBD0WhJHc\nD9NfBQt6A+/cNrfhGJfbj+rCC3j/RpXeeNJdi0g4LY0N80aSsSGRHsMf46p56v7+8NoEDOtBffJd\n9/H6Be83S7EL4OVfwx/uH8HKZ9OI6mOn5IBstqMgIimHftO20nNMETaPDzGMI2xR+BXk7sknMDIA\nvy7qXlUVV2O6TTy8a3E73Q3tbeFIScF54ACHwgbhV1tEl54R+L75v5/lEMiVaTiqHfQ7qzd5ewtY\nMnsFZ9w7ka69IzFNk+/nriP1W/VZTp6YyMTbxvD1E6vYvzaTgrSiBocgeUKidgg0Gs2v4qSdKTDf\nGoKR2ZjGt9ztT6BNRb873V6syz6blNyfFxG+Y8QmMnqnYnPYeHCVm0FdFwFQl+eJR4iTteGRPNlj\nSJvH3j4nlcVTo7jtxX04bZAX4cXGmCEsvbISl+mHzbMaR1UkRfIibF6lTPF6heufS23zXBX+dkpC\nPIk9VMOSMyJZPzqE68p28GjCsDblL/E4xHynWtPuSS1/vkviV924fhGxKgyPxEb/cO+3vUgev6fV\neQAObYsla1scwy7/saGtprwnPoFprWQN29sYRj82zNvM5g9Vsp8zHwgka8c3DDpvA54+jQmMqor9\n+Oi2y+k2IJtxt9bh6XUbNo+wo04q9EvYvnAX6WsyyNmVh83Dxtg/n8bBLVkNpZVB5XMKTwrHZjOY\nfPd4/MPUoGuaJpU5JaTe/CDr3UNbnfuil2dSU1ZLaHwInm3syqinLLec929QS05DLxvUbEvl6XeM\n4Ztnm2dcnHj7GJInJJL50yGWzF7R0B7UNZDznpt+2GtpNJqTi2MxU3BSOQUvvPMJDyw6SFxIJU+V\n/4V4sprJmabBT9nnsClnZkNbfMhGlvQIZuABO7VFR0ouYzKz1yNE+qdTuCQUV7Udd5UNV4UHpp8b\nm92GWQFl/naCKlQtg+/GhDJ2dVGzG7030Y/tfUL5bNAfqMxtndZ2IJu579T5BP5UQ9UbjbkTMgd6\nEVFew/OXJRPsb+P6e/ZyywsDD6vxtY5qzhxVhBFgUPZyJdUvNZ7P+w/eBM8OxB7VOPDWZk7jf3f0\nJKhrCfEjU0n7vhcjr/mW+BH72jp9C0ZRn8EP4wJsNpUoyu12s+KptwmJ3ciQi9e1e7Sj+lQ8fV/9\nVUl26rZvxzMpCaOdJ/Xy3AoK9xfRtU8k71z5QZsy7eEd4EVc/3BcWzZRkVtGfvDRVTGM6h3B1PtO\nxzvAC8MwKDlYyoFNh+gzVbBqzg/sW5Nx5JNYXP7WBfiF+GKaJm9d+j6OagcYcN6zMwiLb1l0SaPR\nnMxop6Ad6p2CoOkPYg8IA0weNp5kMj+wuHQ6XbfVUJMQwc6Cxm1tdsPBpf3vxNezcQr+UHkfUvIn\nUVgVR3ld41R2XtwOsroXcsFOO8Oq5lO6OuSIOhX4d6FLVSl2K/MfgS4ot+PG4OF7J7Ejr3WEez0L\nbn6GuLBCAF7/l52QbZX4jyxnXFk2b0b3YXmoyj7YL7OUlO7BDcclp5Xzlzn7SL8ulMTbvIlJyab2\n9UKKloY1O7+XcFE5K4SMpH6MPU1N6xtv7YHhN2D0fwq321Rr9wZ8cc8ScnfnY/eycfqddnoMUxUJ\nDdtcwAvTfQPgAGMGNtuDmGYKUIFpDgVeAvNTMKaA+UkTDewYtsWY7tmoREHBwNUYtst+ccyA6XaT\nM2QY7jy18yP4kYfxv+bqhvPVlNdSU1rDwvuWUl1a0+r44VcOZseXu6gqqmbccDderz6OYZps6nkx\nhcGHrxXQa0wsw/80CsOAH9/YSM6uPMpzK9qUDYoOpCy77TgQgLjBMdg9bQ2BmIbd4I9PTSMkJoja\nirqGmQqA1O/SWfvmRsbcOIL4EYcrN63RaE5GtFPQDs2dglCmxfyLf2Sv4rN9d5Nf2reVfGFUHoXD\nv+b8vVWc5remzXO+tulN9gxbwvRle3CXBnHf2fcwa+0CZuxY1iBjD3TiKlfT7iaNN3Pu6CtY1mc8\nAOdsW8K5WxYhIxNZMOwcUsOalyv+P+Nl0ohna0k/7jpnIYPGZTf0vfm0B2vCAnkm53uCXXW8Ht2n\nzXLHsw4cpG9KKYkJhyh6NxRnsSeGt5uQUSUUrwxtJvvj4MFsH9Ibp2nnrmEugvNfBn8fjPOzwdY6\nxMRZ66S6pIbAKLWmb5q5QGhDQR+3ew2Y34JxCrAag34Ytssx3V9img81OVMAhu1RTPcSMIZhUItp\n/gsAw3gIw/brkvuUPv4EFS++1KzNCAggatU32KOj+fL+r8nantPquLDEUMTEngyYofb81278iYLz\nLwCHA3t8PAHXXkPp/Q+wJ2Yyqd2aR/V37R3OtNlTW+VCcDvdpH6fTrf+UThqnKyeu47slOalppsy\n5W/jiRscQ0V+JSGxysn7fu5adi2RDL1sEIMv+O2qJmo0mpMH7RS0Q71TkDDzOq7zW8n5xhJ2F4zj\nu8xrWsl+Om0LdY4ujNoeTFx2CAZOEhM+J71sEEmxSxnPepwlHsxJHsDw13xZ0nci3/Qa03D8B6//\nCbtpYgJ5AeFkRE8lM7w/aSEeDNv3Aa4IJ3N739yurnbvYuzeJRgOb/5Z8jR9NudQ/e84NvsGMiii\nlg253ny81Y9yj8YB2tvtxMftotRD7c2/f/8GQh21/F/SKHzcLm5Z78aztAu7C8eR5LmasI17CKhq\nrPJ4KDiKSi8/5o65kuTwfdxivE7kRE8Y3RXyq8F/AEbAGxhG/Xp5Nqr6XwmQDpyCYXhZA/37GMZM\nMARgYLqvbmWjYfwd03wFqC+x7INhewbTPZRdS94kYfSbyBV9Wf/uaC58cSMhMS+0OsfRYJpqRqNm\n1SoKL7sCIyCA4Afup+zJf+EuLMRp88Ix4nTSTr2EjA1qx0dQdCDJQyOQK/cx9oq+dO0bhTu/AFdu\nDl6DB5MzWMUHhDzzb/wvuqjhWoW338mBH9NJfu5ezKS+BET4t6lTW7gcLnYukVQVV1FdUoPb5ab/\ntN7Ib9IYcvFAfENaL3W4HC5qymvx14GDGo2mHTq1UyCECAVeB6YABcA9Uso2S8MJIe4A7gb8gI+A\nP0sp69qSteTjgXQx4R7+UAieTfbd/xAbyJ5Q60e3xf0bdCidcakbGZ26gsWTelMdUsSFH2WR0jWZ\n10ZfwcEu3Y5ol6/DRXWzJ0UXXgFZ3Fr5GWvM0/iRxuC/kLCNeMf92PokR4lnnZsbXkun7+4KzCl+\n5CdVM9d2FVtrRtOtoo4yLw/61RZzb/wzeK4qoHq9WrpYe9VA/ud5IbNtTzDA2I37LwMgsHlAWnFm\nKN88ex7Fmb4kjNzLiKu+JyBCTYG7nTYqiy8kMOL9VjodDsO4BcM2C9N0UllUzXvXftqmnH+4H4mj\n4qkuqWbwRQMJiWmszeAuL6fw1ttxefiQOvhSeo5PouRQKd+/shZMGNqrBt+P/4PT7kWPB28l6NKL\nMd0m+Z8t47N3ms8MnH3vSAKzUii5+dbD6u3RuxeRy5fpFMEajaZD09mdgnoH4FrgVOArYJSUcmcL\nuanA28BEIBv4FFgrpbznMOeOB9Kv63kzwV6N6/2bovzZ0jWAPr45ZBuBlFQd7unOxKfLbjyMGqrK\nknE7A/CvraTS25/rjbeJI4v7TaWC3auEkMSFuJ1+VGSNwuX0x10XhGGrIzh+Md5BmQ1ntWHi4wE9\ngx1sL/Rq7+LNmFCsnmoHVRQwvDKfpYP6ELY3ny6pnhzcl8SGs6dx0aRcHvoqhsrob6nKP4V+9hE8\nWLIBMj7FnV2MK9uFd3gZxcnJbM6ZTmF1PH2iVpI8I43IM4dhGFNRMwGBbF+4jrVvtg6y7DYgk6Hn\nrWbrouFkrE/CO6CGsx9fgLPOk7B4NRNhmnBg05+JSI7HVTscv7DXyEnZRXC3BIoP9GH3skKKMjwo\nyz66XQS+wT6MvmEEiaN6YJomu2bdzfqCBOo8f96WRMNmYLpVToSEnB9I7laF5+Y1UNfoW9q6dsWd\n09xxsMfFEfrf/+DVvx8ajUbTkem0ToEQwh8oAvpJKVOttreBrJaDvRDiPWCflPIf1uuJwHtSytZl\n7hqPicdyCsr7lGBiUhJRiIyw4ROSRv8dZQyuq2DQ/ALenzKUzK5dyK0aSalPGLU+dfiE7CUgeh2G\noZ6s3S5PYot7cVG1SZfuhRjiAPjX8MaaqWRWluIKS2mlg91lx2VzHfGO/nVICcOja8iu8CDCz0W1\nNFn67hCM4gBKYg4xs2Y9/j55eHnUcTApkpc8kki3BeBfPJLbJ6ylzChmWYYfu4ubOxjR/k4uSiin\ne6gLc3d3di89haxtbQefJYySBET4k7slkLCoHHatV1H0YYl5JE/YRVFGOHLF4QfFsIQuhEX7kLEl\nn9oq52Fl60kcncOQS0aRtzUQ730phHfzYdvseWSFDsDDXYfT5kVR0JHLC3s5Kumetw4vVxU7u6tY\nBMNutEqMFJYYyuQe+6n415ONx44YTtDf7sZ7xAgAXIWF1K35Ee/Jk8DpxPD1xfA4edN3aDSak4fO\n7BScCqyWUvo3absTmCClPLuF7BbgMSnlh9brMCAfCJNSFtMG9U7BW4NdRDhgQdIwdvcpp6z9CsH4\n4SbY3012ZfsDQFc/J7lVdsx2btOE2GqyKu3IJgP0kKgabju1lNQST8J9XVTt6MGHHwyCsFKik/MY\n6uNB7s4YMjcefvCrCCrDvzyAav8qMpPT8ar1os6nlrIuJdT61uK2uZrJ2112QgrCiN4fS1hupGoL\nLcNVFIR/Qi7x0zdSlxXGvoVDcNW13svepXsB02d/jHeASsKUtjqZdW+NpbrMl/CEPCZe+AVrl00h\nc8ORB+2mREZmEuTIJS62lHB3FO6sQuo2bcZdUNCmfGFgAmt7X9esbfDkaAZdOZKSO+8k/8ddRP5x\nEt7xceBhxzFkHF4xXfEP9aO2opbKgiocNU4cNQ6i+0Vh97RT9cVCqr/4gqC778JTHN02Qo1Go+no\ndGanYCzwQdOnfSHEn4BLpZQTW8imAjdJKb+2XnsCtUC8lDKTNqh3Cm6begfdXPlEyAUE984hMy4A\nc68JeQaLB8aQ1iOA2NoKPOwG+z2Uf+JlM7HbTPoH13Bmcg0xAS7WZnuzQAZQ5VCxCbGBDmwGlNTa\niPJ1c1mfMroFNCb/cbkhrdSDUB834b5uyqptrPp8IK4qb4oL/DkYVEqXvHAislQGQaenEw+HB6bd\nia9fDm4DHN1SySEC7/IwArMjsLt/edKewqg89g7cSVVgZau+qwoqiPrBk9quYVQFRuB0B9LVK48I\new0B11yMK6sL2A1s4V9jOg/gqPPGw2c3dv9KTBOq1nvjN6yW8oJA8mVXTLdBzMAD2Dxc2KurKVrq\nh3eBm7KvKrBV1+Hl74VZUdmsQBA2G7borngmJOB56iD8ZszAVVCALSwMxx5J3fbtZG7MAj8/Eq6Z\nhl+/Xq3s0Gg0mt87kyZN6iKlLDmy5NFzImcK/gqMa2em4FEp5UfW63Agj8PPFIQAnwHjj5EJGo1G\no9F0NB6WUj70W57weC2eSsBDCJFUH1MADAR2tCGbAgxC7Tqol8ttzyEAkFKWCCFmAkfOKqTRaDQa\nzcnBbzpLAMd/94EJXAcMBr4ERkopd7WQmwq8BZwO5KB2H6yRUt57vHTVaDQajeb3yC9PMv/zuQn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 1e4\n", "p0 = 0.01\n", "s = 0.01\n", "fixations = 0\n", "simulations = 100\n", "\n", "for _ in range(simulations): \n", " p = simulation(N, p0, s)\n", " fixations += (p[-1]==1) \n", " \n", "print(\"Fixation probability:\", fixations/simulations)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.1" } }, "nbformat": 4, "nbformat_minor": 0 }