{ "metadata": { "name": "", "signature": "sha256:90220a4c4ec875dea24f6d569fbdd7078ebfc40e3f779f137dd7faf57db43e2e" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "url = 'http://files.figshare.com/1213488/iras05358_12co21.fits'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from astropy import log\n", "log.setLevel('ERROR')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "from astropy.utils.data import download_file\n", "from astropy.io import fits\n", "from astropy import wcs\n", "from astropy import coordinates\n", "from astropy import units as u\n", "import os" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "f = download_file(url, cache=True)\n", "fitsfile = fits.open(f)\n", "hdu = fitsfile[0]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "w = wcs.WCS(hdu.header)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "hdu.data.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "(1009, 21, 21)" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "import aplpy" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "F = aplpy.FITSFigure(hdu,slices=[500])\n", "F.show_grayscale()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/Users/adam/repos/aplpy/aplpy/labels.py:432: UnicodeWarning: Unicode equal comparison failed to convert both arguments to Unicode - interpreting them as being unequal\n", " if self.coord == x or self.axis.apl_tick_positions_world[ipos] > 0:\n", "/Users/adam/repos/aplpy/aplpy/normalize.py:115: RuntimeWarning: invalid value encountered in less\n", " negative = result < 0.\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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EoCVJklTEoCVJklTE62j1QKvV4g1veMPh5YGBAQYGBno4I0mSNB6LFy9m8eLF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\n8wfAH2Xm+cBjwFs6vK7Rxku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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "from pvextractor import extract_pv_slice\n", "from pvextractor.geometry import Path" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "endpoints = [(0,0),(20,20)]\n", "xy = Path(endpoints)\n", "pv = extract_pv_slice(hdu, xy)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "pv.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "(1009, 28)" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "F2 = aplpy.FITSFigure(pv)\n", "F2.show_grayscale(aspect='auto', stretch='arcsinh')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/Users/adam/anaconda/envs/astropy27/lib/python2.7/site-packages/numpy/ma/core.py:785: RuntimeWarning: invalid value encountered in greater_equal\n", " return umath.absolute(a) * self.tolerance >= umath.absolute(b)\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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+QAecWinUz5feLazXX/rduNrXa9I1q0aTicSNRPqlzRr6YFlpjlaT1vSaOO0Y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\n6u5UHZTovatLj7SvGkuCzzvvvDrvvPOqquqtb33r4O+tOBK3ZcsWam/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Q6o8kcXoYrD6U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\n6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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# use the figure WCS to overplot a line on the \"flat\" image\n", "endpoints_wcs = w.sub([wcs.WCSSUB_CELESTIAL]).wcs_pix2world([[x,y] for x,y in endpoints], 0)\n", "print(endpoints_wcs)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[ 84.83347466 35.73221637]\n", " [ 84.76501436 35.78777385]]\n" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "F = aplpy.FITSFigure(hdu,slices=[500])\n", "F.show_grayscale()\n", "F.show_lines([endpoints_wcs.T],color='r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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XXFN3XNcHrYg4GehLKe2KiKnA64D/BNwKXAV8pvj+rRrD1wCzI+Js4BFgKVA7QVUpl8sc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\nLWkUDFmSpOEwaEkjZMiSJA2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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now for a weirder case, with more endpoints" ] }, { "cell_type": "code", "collapsed": false, "input": [ "endpoints = [(8,8),(8,15),(15,15),(15,8),(3,5)]\n", "endpoints_wcs = F._wcs.all_pix2world([[x,y,0] for x,y in endpoints], 0)[:,:2]\n", "F = aplpy.FITSFigure(hdu,slices=[500])\n", "F.show_grayscale()\n", "F.show_lines([endpoints_wcs.T],color='r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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UtCrc/ZXuM5N5fTn/FgAAwIjWU9BqG+AyAAAAqOctU3PM7LU8y0ZHDGakSKVS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\nZBG0MBgWuvv/Tm7/WJldAd3t1uv/mz1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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "# First, the same approach as above: use the pixel coordinates\n", "path = Path(endpoints)\n", "pv = extract_pv_slice(hdu, path)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "F2 = aplpy.FITSFigure(pv)\n", "F2.show_grayscale(aspect=pv.shape[1]/float(pv.shape[0]), stretch='arcsinh')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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vvbS//vWvf+LPV111Va666qoNrdWeHCJVikmTcGW9eCJywLWEXDw/qcxS5VJVTi1rdZSF\nvG8BOcK6KdNYBVSUaZT8K8nJOeOMM4bXKhMupe+333778NqqbvPJ5t7ZxRdfnIsvvjhJ8qY3vWnd\n2VWTAzmttX7uuecOrZXKl8SocYnhV7boFqUoa2VfK90q+0S8Rs3VEE9ZwlUCSHUAojgussdkb1cl\neSe1DJSGJkdFQKHmtlQ9s1xXcwNH5f3vf/9yQOeajHoUAjQSy9WoGp6oIh6UgA05pKqYxBBIeE/b\noQsDJXF0MfjaGE/Wy/sWtlBzFkQPjeYzJh4OlXMlzpo4LfqthAmSNAV5X9q7Sh2XWZkkyBk1gEo9\nCo1XNW9GDb4cFlkrwE7j6LJe8oEqcx6kL1FlnxwBKgIWRBfoDCjZnzI9XUVKuUV3SxNYLYeuGjsi\nZ1IryuadEzlJkDNKM2uuhlDjknsgBl/6zSQWxpC1YgjmPSBuMyJKUcGZ9FOS8QrC9s3b69uMVCWk\n6ncWoy3gTEBhYvtE9JiA/3POOWd4bWJ5THI2qob1JsvqqrnIaDKsIkwBKpKcKZtdc3JEsckzi8ep\nOTnyncXj1BEcktMj70zCAapQpSeHrJUwmYKFqlCu5pfItaVvloTZ1GESx1juW961FgPMu8pzkonH\na9nYmxU1fmKExFMWpajhABmqV8VeaQNECRvJAdeZL8LkyN4Wg6+shrT7r0owl++UGJCummCemLMm\nOlAqRNVgC4ivOlc6GWD0XH3hC19YVlclKyDn+77v+4bWagKvxCqrvC9VTFUD5sTga26LAFK5tsb/\nxYgIrS5dsbXiUQyYtlcYFWVXJeQkZ1L3pwAGYeHlmdVmCJstQEXOs7YKGE1u/9jHPrYEOckKyNm2\nbdvQWt2wYvxEoYpy0d5A4jVKLFwUos4GqlJMWqIrXqMYXnlfmoRbZTgFzCpjV9UBXZ0HcRJFB8r+\n1HJqCSHLtxI9pLmro/t7z549yxLyNdmyZUvJdYVREYAlQFaTwDTENyryvrSiTNivu+++m64tIs8t\nSlH2iBoRCYnKdxaHR6qMEgcbo6L5U/KtJGwuQFrzOCUMLGBYvpVWIc+7z84kQc6oIdGEKhEx2tLb\n4vTTTx9em5gBk0MqiklBjrxvSWZVgCQevtz3C1/4wuG1KtJFt6qyS5lGuW9xevS+JWQvIRR5ZgV2\novfl2lK4oeFUbWo6K5MEOaOZ9hqDryqnlunpysRIwp8g+sr280LXCiOiOQ+axDsq4jzoxGJpXFbF\nkCq4qmpToE6irJc+TsLGqONRNV7hZS972fBaTYEZ3WM33njjuj+fZE7OJZdcMrRWk3AF4cpBO/HE\nE0uum9QBLFGIWupaNUlcQ4tiwCQ5U5gvfWYxIlXVKwrCZX/K+1aHSSo95TuLo6Y5jWJzZH+K/tQu\n5KMO/Q033LDMyVmTUU+oqpoiMaUoykFLyCVsJAr105/+9PBaVUySMyHKRctVq5rbSaM2jd/Lt64q\nadbvLGGjymaV8q1Fl4jel/48iQFaCffLHlP9qWHNWZkkyBkNZWiuRlV/CvGglBoXVC9rhTWTPI0k\nufXWW4fXilIURiQxpSiMnYBCGXqbWM6DJLPu3r17eG1ll2fplqwzjcRhkgReYbO1+k+YHLlv+VZq\nJ0dBzoH68xwWkNNaOy/J7yZ5SZKf673/m31+964kb0nSkvxW7/3d+/zuHUnenuRrSf7f3vs/Wv35\nzyZ50+rP39l7/7PVn1+S5PeSHJnkA733d613P6PGU+OrN9100/BaqcaQtZrzIAdNgIowIpo7IJ6I\n5BJJ3oFeW76VhMxvueWW4bWJAQZJmBYjouGqqhCdhoGlRUJVdaqW+0sSbtUwVQXhOvtqVg4Xk7M3\nyTuS/MC+P2ytXZgVgPMtSR5N8qHW2p/03m9vrb06yd9Ksq33/mhr7QWray5I8iNJLkiyJcmft9bO\n6Ss78X1J3tx7v7y19oHW2mt67x+avZnRaeJq8MV7E7CgJaciQl2KUhOKWUts77nnnpJr631LOEAM\nr3ir+syyT2Rvy3nWPEoJD8q3qkpITczgix5SmyEFJwI25FtpPzl11mblsICc3vsDSR5orX3/zK/O\nS/JXvfeHk6S1dlmSv53kl5K8Lcm/7L0/us+/kSSvTfIHqz/f0Vq7LcnLW2s7kxzde7989e/9h6yA\nqv1Azqgy1yRcGdZW1dtCc3LksEjeQtXMrMRCTrLHtBmgPLd46XLf2pNDQrlVk+41J0cTQ0dFjZ/o\nIvnOsrd1npw8s5xn+VaVeZzrSXVOzvVJ/kVr7flJHk7y/UnWQMo5SV7VWvv51d/9g977FUlOTvKJ\nff6N3VlhdB5d/e812bP68/1k9CWqctEW9KMihlOHAYrIZq+aH6Xr5ZkVnIlCrhpWqd9KQdKoCAuk\niZ3CulVWhUkYo2q0jYZu5H1L/pQ4pxKxSCzXbT0pBTm995taa7+Y5M+SfCnJp7KSZ5Os3Nvzeu/f\n2lr7liTvT3LmPK47unHUUxZDILFdMSL6zBICkTwPqQJRT0QUkwANrf6TPSbKXCh5CQ3qehmU+aIX\nvWh4rdL5AuykSknCZMn8O+FuVEQHamM70SXCQAmT85KXvGR4bTLuuHz4wx9e9+dPGshprb09yVtX\n//h9vfd1S1Z677+T5HdW1/x8krVWi7uT/OfVv/PJ1trjrbXjssLQ7FtSccrq392z+t/7/nzP7PW2\nb9+et7zlLeve87XXXpvrrrvuYM90wN9tRMQQVDWYUyanqhRRvD7th7SoM42EaZQOqbJHzj///OG1\nSXLaaacNr60qm1dPWUI3sre1+k/AnbxvbbK5iFI5uPZgjPRFF12Uiy66aN3fHXaQ03t/b5L3zvx4\n/wmhrR3fe7+/tXZakh9M8vLVX/3XJN+Z5LLW2rlJvrn3/pnW2h8n+f3W2r/NSjjqnCSX9957a+3B\n1trLsxLyekOS98xe77LLLhtGuNqiu2pGjwCk+++/f3htYl5jVShBcxaq+nlo9YpU/AhQEYB08803\nD69N6kK5UsGnuYHCLlQNGU4MVEr4RUJdlb2rKh0mkYPd9zXXXJNrrrlmc/+e3tBGpLV2YpJPJjkm\nyeOrZeMX9N6/mOQPW2vHZiWn5u299zXY/DtJfqe1dl2SR5L8WJL03m9srb0/yY1JHltds7aD356V\nEvJnZqWEfL+k42TccCuTI4fljDPOGF4r1KN2Ka1qYiiem4YDqmh1/VZ79uxHfG5YhHUTZazvWtgF\nqVqULuQKwsWASb7EAw88cOi/dBCRUK6As6oO0Ynl2cl3ljOpTR/nPV5mkmMdXvGKVwytVXQrRki8\nRgFnlW3zq/J5NEQnoFKuXTmOouo7a+MxETFAonfV2RIjIsZPq6uqyqkrmy+KPpBEb3EwNQ9pFJB+\n9KMfXY51WJPRj6CAUAxB1XBPBTmyXt6XGCDx+nR91eT1pM5jFaCiClWMiBg/SXjWYgBhRKo6ryeW\nZyf6QApGtE+OVqSNioREtRhAO87PyiRBTlUimYANMUDi+WnoRoyIJABX9dhJzFOu6pas62Wt5H0d\naPLwRqWq3b+Eq6SqK7H9KWdSQU5VHyexF+p4iM2o6javjrGC+FmZJMgZ3TiVh1SScCUcoOXU4olU\n5WqoJyJznMQAKSAVr1MSacVoq0KtUubCSmgxgBjOql41SXLeeecNrxVWWJgFDSGL3hfHWBw9TTAf\nDWse6DtNEuTMGyluVAQkiYKQWLgaETHaVY3HtIpOwEZl9YqI7BMJ+6gREeOnDkCViIcve1tzGuV9\ni8MkbQaUXRWHSYov5DzrM2tF2qxMEuSMfnw1+EL1Sg+Tyo7Hsr5qgrkmGooyFmpcWgUkdSySsEBP\ntUqOjYqA8EpGWb6zGr+qhqjyvrT6T85GVeGGVv+NnskD6b9JgpydO3cOrZM22Uld+3pRijoqQN6Z\nMCpSrqpgVr5zVcgoqWNjqnLVEsuZEKdFHA/tk1M1u0qZHLlv2WOS96WVcKI/hcGXMJkyyqrHZmWS\nIGf042sn3Kohm7LZq+KrSV1llhoBufbdd989vFaHAYpU0dv6zNJ/SvJT5DuriOEU4yfvK6kLD551\n1lnDa1WXVPWrEQZeHQ8d/zErkwQ5Z545NgJLwxjy8QQsjD5v4q3YRbFVNfTTfh7SakD2mIYxRCEL\nGBbDqUZEwoNigGRSvbIDVYnHavyqcvSEOavUJVWhWH1mXT8rkwQ5o8mdSqPJhhVPWQ64AruqEt2q\nrsNJXeNGZRolnCAJwFVhssQMvjB2ct8a9hFQKU6PjA1JkuOPP57Wj4qAWe1zIx2mq5pVajGAOmuz\nMkmQM7rxJPk3sfi/tJAX0XJVqQoT5SLX1eq7quRhDYGI5yfvrCrBPDGgIgZMdEFlg065b21xUJWf\nIudZRqWobNmyZXitnCupCHsyZJJjHV796lcPrVV2QLx0MfhVijwxj0De97wpz82IeFBigLT0Xb6V\nsAsSAtFyUzGc806Q3KiopyzfWfSB3recDXlmKQbQ3kDyvuWZqwpdknGAtRzrsI+MTj1WwylUrwCk\nqtbgSV0LeRG9rvS6EaWoIFyAtAA7Ya80GbWqzFZYMx10Kfu7MiFVGIKquVfanbqqGaAASi1WWXY8\nnoOMIlytjqradFUJaIkZIVFMAq40NFgVw9eqBLm2gAUxIsrkSN5XlaesIToBOQLCtfRdDL7kq4ke\nUhAu36oqr0Zzr7Q326xMEuSM0swnn3wyXVcUW1Vlliaz3nnnncNrRbkIm6IxZTnk4gWpQpWwUVXD\nSc0Zk7Mh+kDetQ4wrOqTs6jhVAm/aDqI6DH5zqL3JVk68Xc2K5MEOaM0s/Z5kI0jCX+VeVeStyBK\nUZLEq/oZJQZUdu/eTdcWplGmgcuwSm1xIHtMZpwJ0yh9WxJjdmV/athcwhjyvoVF12aqssfkfYtD\nrkyOJqjPyiRBzuimlQS0xLLdBdGLwddma2L8hDKVSiNlr6qqQDQRVr61sDFV4ZPEDJgwfsIOaNin\n6n1r2FzYGAmJSnWVAjvRn9LoUoCKMoVaPTgrk6uuuvTSS/tP/MRPPPHn6667Ltdff/2G1qpyqaJb\nxUPXnhzCiojBFwOkeR4SxhAjMppQvybCBGlS6agokyNGRJR5lZed1FVqKsiRa8/bcG5U9JnlW4nj\nIdfVxOHNXPuiiy7Ktm3bkiRveMMb1q2umhzIaa317du3D61VRS4egRg/8dA1P0UUk+SnyEGrnOYt\n70uNn+xv2SfCNOpQUmFIJWxUVYGXmPGTa1dWVyk7OyrKhIsuEvZKmHAN0Y3q7ttuu21ZQr4mo+yE\nlhZXTZStHAZYRfVW9dRI7JDLM6sir+pOLQZ/69atw2uTOlBZVXWYGLtQyeSI/pU9JtcV/ZdYM0FJ\nUBdAqjk58258O0mQM5pArMpFcnokz0P6eWhPDgl3yX1XKmPxdqta7idGUQvIkXOlYYiqsQ7KuonI\nMwuQVgZKwEZV+w7NyRHWTXSJFLooyJl34cckQc5o9ra+fEH1V1xxxfBaMdo6L0bYAXlfooyVvZLq\nANljykBJmwKht8UAaTGAeI1itMVDv/3224fXJqYPxICpkyhnWvaJ5F5p6EZ0oACkc845Z3htVYuC\nA8kkc3JGKW5Bt4lRphKbFaUmiZmJgSTx3CobeIkylpCmelASEpU9Jjk5Oq9LvrUoc6m0FFY3MXAm\nRltn/91xxx3Da+VbycR4ZXKkGED61Yi9UUZ5lMHfsWPHMidnTUbZBSnJS8zTlviqKDVF5QI2BOSI\nwdbEY2GvquYKJVbNJmFJMZwaAhHWTQC8XFdnA0kDRWEH1PiJAyAOquxP1Z/iZFZVZml11SjrtmPH\njnV/PkmQc/bZZw+t08RjaSZYBVTU4Mt6US7CpmjZvFQ1yLfSSg7JE5F3JlUzOq9L3pmwVxIa1H5I\n0uJA8lNUf0qOiejPygGywiLJ+5IwmTJ2mqw9K5MEOaPGs7I6QFgkMZz6zLLhqxSqHjIBWFVDMhMD\nKsIiCdunOTniKVeNS1EQXlX9p0ni4jBJqoAADX1m+dZVbUekg3kyzgQdKHQ9SZAz6kUpKq8aviiK\nXMMBUiFV1UhQPKDEjMitt946vFbBmXxrKeU+9dRTh9eqVJ1Jmemm87rEAZBEbS0NlnMlbKEypCIS\nvhYdKOBZRFTOAAAgAElEQVRMgZ3YjPVkkiBndMOr1yhGW0Igckh1johcW3IP5KBoHF28RjH4Wr0i\nzy1rxejqsEppkVAVBtbqPxHRQzt37qRri/6VpHzJ55l36GUzIvukio1+MuSpdTeHSc4999yhddr9\nVzwwufauXbuG11555ZXDaxPLH5BQmbASQk8nxgSJ96UdZYUal0RFWauAtCpXQ/aYFkDIM0sOlFYt\n6oDkURFHTc5zYmdawIZU/ykTs8zJmYOMKlXNGpc28KKYhD5UwykGTECOGD/1RKo6ymo4VUCOGD/x\n0DWcKmda8s0qm+rJ2agCs4lVZ8mZlvOsTGNV5aHoEg3vCRO+nkwS5IwqJzX40rdAmBwBOdqTQ9eP\niigHrQIRT6ZqiGti+1ueWcCCJlsL0yhgoTLkJIyIeNnq4cv7lmtr8YWIMEFVLTg0bK7rZ2WSIGf0\nkFd6ULJWst2147EcNFEuVQnPKvLMUhqcmHIRpSjJv5rnMcWxI+JpC+umYQhx9E455ZThtVWNWBNz\neuS+RRdUjsVZTyYJckYPm5bGCauhCcCjoqhaWCSh9MXD17CkHHIBWApIxfAKOyCUviTCJlbxI2yM\nAA3tDSTvTDrwqvMgVaICSKWKTmf/VU1PFzCrBTrzZs4mCXJGE0Mr+6cIWJADruBK4vCi1BSoVIl4\nbqoQhdUQWl08Nx21IudKQI6EBrUAoqqEvLJ7uo7/GBVtRyHvTJwWAaQaNl+WkM9BRg+qIkwxQrK2\nclSAKOSq5GH9zmL8BCxofop8a7lvKe/V/Kl5U+MbFTF+yohIlZMYMP1Wct9iOCXUpbMhq5Lbq/R2\nMv++RJMEOaMN11S5VE1nFQOkFTsCGKp6Neh3kgTze+65Z3itKlSJ4VclW6vXJ4ZXDL4YryuuuGJ4\nrYqUvmvoW5wHqWwVHabFKuIACBN+3333Da9Vx1jHlszK5KaQX3rppf2HfuiHnvjz5Zdfnssvv/yw\nXFsAwyJ2vkyMXRCjW0XzJnUhEPWARJlLWFJziUTkW4kylxwmAdGJ7e+qip3Ecj1El4izpTljortF\nB0q4X23GZs7VS1/60rz0pS9Nkrz1rW9ddwr55EBOa62PNgNUD1/6PEjSslDy2sBLql9kbwqTo/F7\nAXbiKWvjMXlnsj/FeKn+km9VlVSveUiSWyjMQuW4FBE5F7o/q1gkua6GJUft7Mc//vF1Qc4kw1Wj\n1KVk2Se24cXzE6Wo1QEymkG8L1GoQm0n5gVJ+EXDAVWDGwVIq+EUdkHORuUsJVkvBl+Nn4Qxqths\nDd1UsTGih7TpozprszJJkDOqzLUTo2z4qoZpWqUkXrooNTloqozlfYty0dJNUagC4MV52LNnz/Da\nxBiVa6+9dnitGE4B/0ly9tlnD6+VcGpls0rRJfK+K6s8FzEfMjG2cD2ZJMgZNWJKlwqrIdeWMnDd\ncLLhqzrwKsVclcyqoUUBhuJ9yf7UxGMBWNJ8URgkndou31nOhua6iQ6sKgbQSs2qERxVzT2T5I47\n7qD1szJJkDM6KFN7xohSlI0jzdZkuGdih1SYMwljaB8SYRfEEKjxE49VAFbV4MXEDIEMyqysKKtq\nZaGJx8KKiLMlycPaokAa0FY1QNTE+GUJ+Rxk1PAq3Soi+RZy0HTDiVIUdkASeJW9Eo9T2D71oKSb\nbVU+j+7Pygnoo1I5S0lCosqES6hMvrPsMa00qhq1Iu9L0zrm7fRMEuSMyo4dO2i9TqQdFYlHb9my\nha4tFWXi7UpVl+Z5CKshnpvGwkWhVpUlK7C75pprhtfKM0vZvOZeifGTELKCHNmfYngrG4tKcntV\nHqeOP1r2yUFprfVXvepVQ2s14U8UslRIVc1SSsyTEeMn11VlLAyUfCvNeZD3LWyhrFWvUUIgct/y\nnTUcIOyqhECU+RLnQfSYjLLQMymhMnnfwl7pM48C6Y9+9KPLEvI1GQ0JaPdK2ThiOCUEomXJ0nVT\nEL0ASvW+JHdLFJPet+wTEQELleyAOIgS+tYZZcLkCBCWcFNiYEPAgpwLbXEgjrWADTkX2gBx3v2Q\nJglyRsGGxlclS18MgQANfWaJrwqoFECpJeTSTFCUi7JuYnhFMUkOlBpOAcOyTwQIax8Sadkve0z7\nn0gTQwlfy96WJpmJ7W8B4aKHNKdRyYRZmSTIGa2u0o8n1RjipYty0EoOOaTisYrB1io68b4EVCrI\nEa9TDIEAYS0GkPwWYd0k/KwVj2JE5DxrddUijg7RnLE777xzeK2AcKkEViZGm+7OyiRBzmgyl8Ya\nKzPWR0VbyEs5toAcOWiSsJeYFyRAQ6YlJ7bHBJxJOEAAfGKGVxyAqvynpC5srgn9oosEnInToiHg\nqpmFlbm68y4hXyYeH0YRQ1AVStCOnXLQqqhxpdXlTMm30pwcAeGyTySGr0xO1Ywe2WPKri7iM+u1\nRffOO3yyGZFwl4AzAf9KBow6mR/+8IeXicdrMpozoc3WpLROKH3JEVHqULxOUWpVIyESq34Ro62l\nl1XVf7JHNLFTAENVfx8FC1KlpJVdIlVzs6rGI6hoqGxUtIpu3lGLSYKcM888c2idsl5iwKpCIKpQ\nlVofFXlfGgIREc9N92cV+1VZsVNVgSLsgO5PCaGoly5S1QpDjK7m98m3kkIXSTPQYhXJB1pPJgly\nRpkNTagSr1EOqSRXarJ1FZNT2Z1aDrkocgU5sseqwILOuZEzKQZM3rXqITmTVXooMUBbxYQrqyHs\nrHR9l29VxSAdSCYJckY/oCLUKupSDpoyMVXerqxVb7Wq7b7SvGJEBCyIAVKDL99KlLkYkcrvXJXP\nk9iZFt0te1srygRUVuXbarhfowezMkmQMxq+UYMvSlHWSl6NUuMSfpFkVkm6087WQvUKA6XKRQyY\n7DG5rlaUiciZFF2iuVdieGXMwM033zy8VkXOdGVvoCpmVwBpZbHKejJJkDPKqKgnIgxBVTm1Gk7p\n8yAAS2ZmqeGsar6ogLSqn5KABZ0nJwnAVYyIJv9qF/NROfvss2m9gDMx+LI/tTKrqoS8cnDtvEHO\n5ErIL7300v7mN7/5iT9fe+21ufbaaze0VmPKApKkd8snP/nJ4bUaDrjggguG18phEW9CgV3VzBj9\nVlUDZEUHaR8SWS/nWfaIOltVZ0PDuOLoifMg36pyaK6cK3FatMXBZsDsxRdfnIsvvjhJ8sY3vnHd\nEvLJgZzWWn/1q19dcu0qZT7a4TnxBF5hVKqqfeSeEzMEwvap1yghJ9mfwkxoddWWLVto/ahIHpIC\nu6oBslK6npjxlO8sOVD6rUQfSFizsq/QqLN25ZVXLvvkrMko2FAaTVC9HHCJR2uSY9WMnqpE2MQY\nEcnnUa9x3oPxNipVoxUS22MChqVqUfZIYs6WAJUq45fUVTxqEYPobgmbS2hQu+TPu4XHJEHOaOhH\nFaquHxWhPCu7lEosXNiBys7Bopg0YVoTBkdF3rc2A5T9LeXrAoQVjIoeEnCmuW6yT4RRkbxCdZjE\nWasaZaF2TsOxszJJkDNqhNT4SZKkABXZsNrzQBpSiTchVK2GQBYR2CV1LJJ42ZWshjyzgDNNHJaz\noZVdIlKRVjX7Tx0PATmyT0QHKkjRnJ5ZmSTIGaVN1fidddZZw2tlw1Yl7CV238IsSJhM2SuhW+V9\na2K8ACxhr8R46dgRORuytyWMoUagqlKzcjq1gBxhV9Xgy1w30UNVPaCSZQn5XGSUTtMk7ZNOOml4\nrRh8STzWycHCxoinrAl/IqLM5ZmVdZN8CzkbUlGm8+SEna0a/6EgRwCWnCtlwkV/Sv6UgHB9Zgn9\nSI+yqmGoyfybqU4S5IwqZJ1DIsZPDJhsWI2jS7JhVShBwaywGuLFiFJLLPQjAEkq+DSZVQDW8ccf\nP7xWdIGGq+TaAuzUQ68KlQmw047HInImJZdIq+jkTK4nkwQ5o4rx05/+NF1XlJMoJgE56jWKJyJr\nKwcJyrcSIK0gXDww2WNiCLSnUVUYuIr5SixPRIBKpfNQlSen7Kqcycomhk8lmSTIGT0sSsNJTo8M\nWxOwoF5j1aBMCe9VlVInRo1rEq4YbYnDV/UVSswQyPsSXaCMhjyzDKtUgy/TqQXkSMhexmAk5gBI\nLpHoIU221lYY+/17c/3XFkRGD5vOrhKFLJUzohRVMcl9i2ISI6LfWdgvSa6snEIuYLaqc3BSx2qI\n8VPHQe67sh2F6E8B0qJL1DGWhOmqsSNqM+btZE4S5IwaEjUiosxFKcpBqRxlIQZMSteloiGxXA35\nVqpcJA4/b+9ro6IKUYyfACQpIddnlvXCLCgrLGE6WSvnqjLxuKpwQ3Ny5s3+TxLkfMd3fMfQuvvu\nu4+uK6yGUI+V82ZEsQkjIuEqNdjicQqTo31y5J2J0Zb3VTk0VxwPMbraALGqDFy/lQAs0SVy3coG\nslWdmrWp6LK6ag4yClb040m5q3gTgow18VgoUzlo8r50dpWwMVV5HkndrBsxfpKrltiZlmeWM6lG\nQIy2sFfq4Qs7K1LVlDQxMCy6W+5b8+RG1+/cuXPdn08S5IxuWq3kEIUqm10mmCt7JSGQqmneGkeX\ndv/S00ilqoGiMGcauhHAIBUowsxq9955d5TdqGhC6rxLizcqi1qlVBVC1tyreZfdTxLkjB42VQ7i\nvUk+kGwa7ZNTNa9LRKuUBAyffvrpw2s1HCBKUZ65qsIpMSMk51lyHpRpFD0moFJ1gYBwORviqCnI\nEd1dxYSrndTcwlmZJMi58cYbh9ZpLFw8Gdnssrayoky8bAGFlbkD8r7Uc6sawSFr1euTgZNybdnb\nmhhfdd/CKCcGGET3ynW187qAeAHhlf2QNEF9ViYJci6++OKhdRrGEIZAejWI0RYjkNQlHleVXiZm\nREQpamhRutnu2rVreK18Zw0hy7euMn56JqUztuRqVIZuZI+J86AhNtHdAlTE2VI7ueyTMwcZTWBT\nVkM2rMTwZbNrCbkYTqkWqqzYEYAlXpDOUtq9e/fwWjF+kjyshlOSYeVMivE7UILlRkWcLSmeUNZN\njGfVGA3dn1WdseVbVfZWW0+aUkuLJq21Ppr3oDHlKmZCDL7mPAgDJbS8GCCtohNQKUBacgcSK4mW\nd3b22WcPr9UkXDGcVeFU9ZSret3s3bt3eG1iRlvyeaTLs1aESf6VrK1swTEqn/jEJ9J738/ITo7J\n2b59e173utc98ecrr7wyV1111YbWKsipGjgpRlcrIqqaWQkDpUxOVQNEjWULEyTem9y3GnxR5pLz\nIGs18VhCdLK3dWK8OGuyx6pGKyQGpFWPjYqWkG/mvl/ykpfkpS99aZIVkLOeTJLJee1rXzu0VsMB\n8q4lji6HVJrTJcYuKIs0Kgrsqkp0VSRPRGh5AUiqUKv6kMh9a+8VyWOS76znWe5bvrPct7KrYjPE\n0ZM5Yar/RnMLr7766iWTsyajhrsyU14QvSQqas8DBQyjInkHyoiIERIPX0G4GF7JeahMPJYQneTz\niBHRZFbVY6OiukT2t4S+BSycf/75w2sTO1eiSwTMasRjtG3J1Vdfve7PJwlyRo2YdleV3AMBORIL\nV4VYVa5aWREhrQYkx0RzicRrlGsrGyOiRmhUBCBpKbYAQwHwWrUoIEnYQgmJKrATXSTOreQGaoNO\nbZEwK5MEOaMfUJvESRKuGM4zzjhjeK0yMZIpL8yXKDWtAhEFIQpVwYIwWAJIZY/pMws7IA5A1UTt\nxN63rFX9Kd3Aq0YcqOMhrIg4LVWdwJNln5y5yKgR0xJyic9WTdWWqoSkbjioeI1Kt4qXLsBOPSgx\n2rJWmEY1nLLH5GzI/lQQXgUqldW44IILaP2o3HvvvcNrb7vtNrq26M+q3kBqJzXsPiuTBDmjCkZp\nYmE1BKiIAVIjIiKGQCpQ9JnFg5K1ympUVd0IyJHy3qSuI7es1Yqdqh4oCnJExMEUdlVY9MQcLvlW\nooc08XiUObv++uvX/fkkQc7oIddcDdnwVfNmdOKxUJfiTch1FSyIpyzPrFU3ssekCk+M7oUXXji8\nNjFgVzWUVJlGed/yzFpdJc0q5X0LYyfJv4k1fhT2X/J5VA/Nu+J7kiBn1OgrTSxgQ9gYua52r6xs\nD14lQreKUtTETlFsssfkO2uSorxvaesgQEWfWfZnFfOV1OlAeV8KSKvmyVXl5yWux2Zlkn1yRquc\ntAmXeEFV3Wi3bt06vDYxdmBRG8xVgTNNSK1KVKwc+lh1rkbLZBN3POSZqxqaJgYYJE9EQI6GvoWR\nFn0ghS6aODz6rXbv3r1un5xJgpzTTjttaK0izC1btgyvle9U1VQvsfuWAy7GT9vPCyMie0SNiBhP\nubasVUApxk+MSBUrkdR11dbGeLI/5TsLCNdwlehAcapPOumk4bUCkJLx9/2xj31s2QxwTUYbcWml\nUVXXTQmzqUIVT6aKVj/nnHOG1ybWvl7YAa1KEMAgRkRymJTVqKrgO/HEE4fX6jNXtSnQhNQdO3YM\nrx3topuY0dZnnvewyo2K6CF1qufdN2uSIGdUSWhpnKzXpOdRkXLopK5JnLwvZewkHCDel+aMifEU\nZkLYPq3YEWZC+rbIHlHHQ76zOC1638KcjbL3iSXSap+x8847b3itvG9hVxWEz7uid5IgZ9SISXZ/\nYtSjGAIxftrMSg55VXfVSjArRluNiOScVYUx1GsUhSzvuyrXQtdXtQpQEeZM9JA2xtMk3lGpGqyc\n+P6elUmCnNFZJGrwqypnqsrPEzN+ctDkoKjhlLCR7DFVLmLABJwJ6zbvFvCbEQlfV47BqJpLdPrp\npw+vTWyPyTPLHhO2LzGQIzO3BPzrUOd5zzucJMgZPSwaDhAFIZtd7ltRdVVpsXiNmswqYEMAln4r\n9TpHRfa2fisBKsLYyR7RxM6q/lP6reRsCFARo61pBlKFJ/pAQI5WIY+eq1tuuWXdnx8WkNNaOy/J\n7yZ5SZKf673/m31+964kb0nSkvxW7/3dqz//a0l+Nck3JXksydt7759c/d3PJnlTkq8leWfv/c9W\nf35Jkt9LcmSSD/Te37Xe/YwaQAU5wuRUzcnRoaRC9QqzIOE9TeCV8It4+KpQ5Z3JM8u5kl41ib1v\neWYZFaDh1CpnS4bPqggLdNZZZw2v1erlqjEvct/KxMy7T87hYnL2JnlHkh/Y94ettQuzAnC+Jcmj\nST7UWvuT3vvtSf5Vkv+t9/6nrbXvW/3zq1trFyT5kSQXJNmS5M9ba+f0la/yviRv7r1f3lr7QGvt\nNb33D83ezChg0Ex3Cd0IotcOlCJVuUSi1NRwiqctXqOGMeS5hRpfVHZA9rbkiCjIkX1SOSJGAJY4\nAGK0xVFLjHWT/VnVZiBJbr/9dlo/K4cF5PTeH0jyQGvt+2d+dV6Sv+q9P5wkrbXLkvztJL+U5J4k\na9biuUnWRni/Nskf9N4fTbKjtXZbkpe31nYmObr3fvnq3/sPWQFV+4GcUWWunnLVMEDp26KHtGrm\nlqwVLzuxeUpi8LXFQRUYFjCrzyz9QKqqJRXMCtgQUKm6RPSnhF9EhykrIc5DVfKw7s9RdvWqq65a\n9+fVOTnXJ/kXrbXnJ3k4yfcnWQMpP5Pko621f53kaUm+bfXnJyf5xD7/xu6sMDqPrv73muxZ/fl+\nMrrhNVwlMVJhJuSAa+hGStCF3pYwm4JZiUmLIdBKDDF+ohRH+1YlHgIRb1eMn/RtUT2k60dFc4mk\n/5Q8s6QZaBGDMLsCcsQxVtG2JbNSCnJ67ze11n4xyZ8l+VKST2UlzyZJ/l1W8m3+S2vtf0ryO0m+\nR6+5ffv2/PAP//C6v7viiity5ZVXHnCt0q2CyqVCStZWVq9UsUAKFsSTEapX4/8CzhYVhFeJMCKV\n+1OurftT9okY7apCgsQ6t4vDJOBK2dWDfeeXvexlednLXrbu7z760Y+u+/MnbaxDa+3tSd66+sfv\n673f21r7p0m+uG/i8cyan09yV+/911trD/bej1n9eUvy+d77c1prP5MkvfdfWP3dh5L80yQ7k3y4\n937+6s//TpLtvfefnLlGHw1XaZMjSXIUj1Xi/8pqSHKmgEoxuprzILlbYkTU+5JwlexPUcYCZhP7\nVlIeLMyCsleyx8TL1vyp4447bnit5JtVhr7FPotzK/tTmcLR933//fcf3rEOvff3JnnvzI/3H57V\n2vG99/tba6cl+cEkL1/91W2tte2998uSfGeStfqwP07y+621f5uVcNQ5SS7vvffW2oOttZdnJeT1\nhiTvWe/eLrjggqFn0vp/MbwCVMT4aVtyAUkS3pP71twUodXF89MScKG3pZJD2Cvt4yQKuSqfR0X2\nmLB9mp8i+kBCTgKEFZBKiE8A1q5du4bX6jNrF/NZOSwDOltrJyb5ZJJjkjye5KEkF/Tev9ha+0iS\nY7OSU/P3e+8fXl3zsiS/luQZSb6SlRLyT63+7h9npYT8sSTv6r3/6erP10rIn5mVEvJ3rnMv/eKL\nLx56jjvvvHNo3ZqIYqvKMdFMefEaBajIQdN+M+L53XPPPcNrNZwq4E72Z2VpsbwzMSLCXonDo9cW\nUZAjIFzsXOUwVflWVTMLq9jVHTt2LKeQJysg58ILLxxaq1nj4vnJAZdNpx6nxLOrlIsmSFYN2azM\nTxGAJHtEZkAlNqpFAPy55547vFYm1Sdm8IUt1Fwi8fAFLAgLpI6HvG/JARUdpnmco2HNT3ziE8sp\n5GsyGq6S/JLENrwkoMkh1Ti6AENRagJU5H0lFtYUYKdNuKomDwtzJoo8sdCiiBh89ZTlTIrTow6T\nGHxlpEdFnNPE9knVMFXVn/OWSYKcA7V/PpQoTSylsgI2RKlpsrUoJvG+Kp9ZcqBkvk+VB5WYUqxs\n3CiGV565ahK4SlUbjMSAihheua42kJUzLQ5AVZpB4uzsrEwS5IxueEWoEiOtMvgaU5ZrSxhDFKoe\nUlGKlY3x5L4VGI6KGnxhr8TgV810S8yASUhUUyOqSt+r2JTEQE5VTo6Wzeug4f3+vbn+awsio0mS\nmrAnrIZsOrmuUuNySEW5SOhGGLfE9ok0iZt3E63NiCimM888c3ithugEMFSFQJQREUAqukRZN6ns\nqpokruEqSdaWPDmxN8pezdthmiTIGUW4qtSqNmyVF5PUVTVUsldySCWXSOabJfbOqvI8VCFWVRqJ\n0VV2QDx86VWjBl9y3eR9y31r5aCcK3GYRO8rEyPs6noySZAzuvG0ukrXj4qUkFcmHotyEUU+b7p0\nMyKhMt1fAkirQKX2BpLwS5XzUBmuErZQHSZJF5AWB5Lbor3VJPQj+0TAmYbN520nJwlybr311qF1\nSrfKx1cvaFSU1ZCqMFGK4nGq9yVARRS5JuwJKyJnQ9grCWEkplAFIFWNLNH14jCp8yB9iXbu3Dm8\nVqZiKysheV+iP+VcaMfjebe1mSTIGVXm6jVKuEtQedXcq8TCbBJKqOqpodeunPIsYSNpryDGS8G/\nMBM7duwYXiuGQJvqVZWBa/6U9BmrYme1IreqAaLofU3r0FYtszJJkDP6EaQbbVLXTl0OuG64KmVe\nlfybGEUt960gR7xGMX7icYqHnhjAEsbvtNNOG16r8+SEgRIWSMelCEiS/SnOrYYWhV0VZ6tqUn3i\nHednZdnxeBOiVTdyyCtLokXkvquSlhXkiNEWMKthDAFnYkSq8mISA9ICcuR9qadcNTdLDb44a1Wh\nGw1Xie4WllIqpLRf16js3Llz2fF4TUY9AgUL4mlXUY8KgsWAVTX/0jwkuW9REHrfIrK3JX9Ky6kl\nHCCGU4xIZR8S0SUaMqqqhBNQqKyE7E8B8JInp99pVHcfiNWdJMgZ3TjqiUjopypGqtS4rBeAJQpV\ny5KlxFeMn+anSGK8fGfNMRGRsyHvWzx87YckDoAALJ2tVtUQVfa2GnzRJXv37i1Zq0yhdIxfTyYJ\nckZLAtWDEpAjIRQBZxqikzi6GCBRDnv27BleqyLhKi3dFOVU1YiwsveKgIUqQJnYd5aQuzaJE/0r\nZeDyvip7xlTN/tOw+bydnkmCnFHlpNVVwsYIpS8gR1kNOeRywGXwonoSVa3Y9VtVsRqyPyuHAYoy\nrso3S556AxQ3KqI/5WwIyFEQLvukKpyqdnLeMkmQM2pIlG6VTSeHRXqYKKquahInzILmtsi3Eg9f\nE1Jlf4sBqgILiYFwCUXIt9JmafK+5TtruF9YJAF24rRIn7DE7lv2pzhbmic378quyVVXXXrppf31\nr3/9E3++6qqr8qlPfWpDa7VJnNCtVW3z1WuU/SVMjlD6GlOu6u9T2Z9C9qfctwJSCVdJWFP2iEyq\nT+p6xqjDJMZPwtcCcvSZq4B0VUPTZHNn8tu//dvz7d/+7UmSn/7pn163umpyIKe11i+99NKhtdrY\nad71/xsVMUCahyQgSQ64ANLKAYjCQGnpZlUirRhdZTWkS/Tdd989vFb2tuSXJMYoyzNrOFVGM1S1\nstCK3KpcN83vExl95mUJ+T4y6v3phhNPuSrUpc0AJbZb1QxQGTtRqFUlzUmdIZBzpUyjyJYtW4bX\nipc97ynNmxEpRFBAKudSHExhC7W6qmqcjzj0qod0/axMEuSMvkSNKVcNjRRvQluxy/qq0M2uXbuG\n1yZmhOQ7S0VEYspFBxFWiXwreV9idDVnQdhZ+c563/LOJHwt963PXMXCS3hPw6HKVM7KJEHOKDuh\nRmQRKVP1ROSQVt13ZeKcKAgNLUqSpDB+EoaQqsPEQE5Vjl1VU7zEnBZlJcRxuf/++4fXChuto4Dk\nfcvZkGfWnMblgM45yCiqV1Qu4ZeqWSKa5yEegTBn0sxKmRypZpPydf1WsseE3hbnQZOtBeQIqyFl\ntuopCyCV0I166FWVcALOFITL+5a5bnKupNdXMv8Q3SRBzqgXpfF/OaSy2SXbXXseSFlylXLRQyYe\nvuwx/VYCkiSUUJVvllgYQ5Iz5VtpM0AxQuJlq4de1Y5CzqQ6p+IAiOMh71oc22T+zVgnWV119tln\nD6gwZL8AACAASURBVK3VhKiqgX5VA/mSuuF2cl3NL5H3LUpR2KvEKGoB0gKQNJlVmDNJwpU9omXz\nVQ06FZCK/pVQrFxXJ6/Lt6oCpKo/Rx2AG264YVldtSajXr7mPIgHJsqligVKTLHJ+xLloCGQe++9\nd3itfCtVqBdccMHwWtmfAnK02ZqUkEs4QMCZFgPI+xYGSp1EYSYkVCbfSpkcWS8surBXCmZH2asb\nbrhh3Z9PEuSMvsRKRkQMvigmDdFJeXDVmAFVTPKtqgBSYsZPkrUFkKrBFwMmOWMSTtUeJnKmxUvX\n6tQqJkfeV6VjXJUeUcnYrSeTBDm33nrr0LqTTjqJrisbVhSEGj+RqgZz8sx6yCTJsVKhCojXpOdR\n0WRWOZMSfhYDpONlZNjvLbfcQtcWOeOMM4bXzrsseaOijrEUq4jTIg5mZZXnejJJkDO6cTSMIcaz\nqiRay+ZF5JAKuNISXWGChJm48847h9cmZvB1qOmo6GTrG2+8cXittDh44QtfOLxWq1dkjwnQ0PxP\ncXqEzRaH6fjjjx9em1h7haohsBo2H7XPd9xxx7o/nyTIGf2AWrophndRpzyLQq1KutNkVlkv933K\nKacMr00sDCL3LUZE5zgJsBtlhBPzdrUjt7ALYsC0U3PVkGIRfWYJX8uZrCrXT+bfLmWSIGfU6Csl\nX9V1Uzas0q3iQYmCqOp/kpjHKayb0sTSME2AtBgvZZDkbFx00UV07VHR/SmgUpgz3Z8SchL9KXpb\n2f+qqe9SqanfedknZw5SRa2LFySGs6ryJbHGY0KZyjNrOEAUauVcIsn1EHZB2Bid8iz7U8CGeNna\nkbsqT07DVRK6kbC7pBko+y/vrOo86/4cZcKvv/76dX8+SZBz7rnnDq2TA54YjVc1w0QbzIkRqpp7\npYpJvC8BwgrOqhLURZHr/pRvLe9bDYGI6BJlJkQEbEjYR8CsFjGIPqjaY6pHlAmalUmCnD/5kz8Z\nWqflqtu2bRteKwBLOlBqd1WhmCVUJspFDadcW9aqchBlLgBe9pgyX3fdddfwWgnvSc8XSVpOjMkR\ndkBZ4apqNgHhlXlIslYA0rxLwFUmCXLOP//8oXWVE7nFiEhPDvUGJC4sHmdV/lNivYFkrZYWixES\nEC7vW+P34imPdk5P7DwrWBCjLQZMPfyq+VMCkJQVFn0gRSOSqK12Upjw9WSSIOdFL3rR0Dp9+YLq\npZLj9ttvH16rA+ZOO+204bXCAokiV0q+alSKNluT9WL85H1pCbnk5GzZsmV47Zlnnjm8VkGOgA1x\nPCpDNwKkK7v/Sv5oVVhSE+MF2K0nkwQ5o4pN6/+FXRjNI0oMqKjBr6rkqErYS6wyQYCwJGYm5r2J\nEanqH5VYXo14rBIS1WZpsl4qTFV/yj4RRrqqFDux9y1OiwA7rUKedwn55AZ0Xnrppf1Nb3rTE3++\n5pprcu21125orW5YWS8ASRgo7ZMjqLyKntacHElyFMWkRkREDL6s1bEjAkglqV4cDzUC4rhUsUBJ\nXS8m1fsion+rGsiq/tzM+ksuuSSXXHJJkuQnfuIn1h3QOTmQ01rr3/Vd3zW0Vj0oKWMUj1O+sYIc\nETloSumLiBERJkcSzBNLXBZwVjVaQaWqq7aChaq5bpqEKwyB3HcVC5TUDVcWoKLPPAoqr7zyyuUU\n8jUZrdo5+eST6bpieKXSSJgcbQZY5UHJfasREYMvQEMTO4VdqOolot+qalaYAGEF8JoYOipq/OSd\nSWK8gHCpwEssZ0z2iazV3FV11mZlkiDn05/+9NA6STRMbO5LVfhFk8Duvvvu4bUCFk499dThtVo2\nL4ZTDL6GqyTMdttttw2vlfk+6niItytGV5LqFaTIHhMDpi0OxODLfct31tCN5MmJzRC9LW0Zkvmz\n8JMEOaNevmaNVxmwqn4JSd3MGAkHaJWSKEXxYjR3QEI/W7duHV4rxktDyFVhDNmfWgwgz1xVgZdY\nuF/0p4BKbSArTJAUUAgo1Kako2TCgZy0SYKcUc9RD6mEA+SQyn2rQhUFIV52ZZdnCaFIMqt6QPK+\nBSBVDXFVkX0ibJ9WlIkBk70tA2ATc9YkVCZr9UyedNJJw2vnXaW0UdFwk1ZnzcokQc6oUlVWo8qA\nVQ6rFEMgh7RqJERSl6ytoUXx0h944IHhtXv27Bleq31IZHK7hJzkvisrHoVNUV0irJ2AcAmnah6S\nnEnRvZXhqnnLJKurXvnKVw6tVWQsB028IPH8tCKiKku/qqurrpe1EvZREUZF9piCnComSJhZLQYQ\nwyletiaJV81xkrCPhlNFZJ/Id9a2DqO6e/fu3cvqqjUZbTIn05ITY3KqqjE0yVE2fFV31UpGREBh\n5cTjqu+sIEcMgYDKO+64Y3jtog7J1DCbFARUVadqEYOIOA+ih/SZl2Md5iCjYx3Uw5dNJ16MGC9l\nB8QLqmqEpUakqgy8Mj9FjIgCFRH5VsLsSlWYMiJiwGR/KhMu+0T2pyQP65msquyScRLK/s9bJgly\nRj11NX5ieEVBCPWoSWTyzkSpCXul1VVyyKUDrxoRYRplb4vzoLPV5J1J2bzsMZkHl9g7E2ZXPXQB\nd+IwVRrtqh5SVWsTbzUwK5MEOTfddNPQOklSTOpmSAmTo/F/STZU5mxUVBlLj54TTzxxeK0Oq6wa\noyFJy7fccsvw2sS8Xdnbwg5UhquEmdUwcBWTI+dKnJbEQKWUcsv+VJAz7y7mkwQ5o56QlgOKcpJD\nWjUhOqlruy/vWkGOGIJ5l09uRsRjlWeWfB4FwpI/sG3btuG1lc0ARY/Jt5p3rsVmRPSQfCsB8Ikx\nfmIz5Lpa/bdkcuYgo82GNBxQNalZFFPl7BWRyuoVYUQkB0q/lcThxYhIuaqCHLlv+c7Camj4RLz0\nyrCPhG7kW4k+0Gao8s6EgZI0Be0zNu/cwkmCnNH29Zo1XmVEKocYyiEVhVpVKZTUzXFSD0rKbKXF\ngdDqmj8lzyzMhIQxKsOSslYNvuwTcTDF4CszK6xblb3R/bmcXTUHGW2VLfkSiZdQjkrlAEQRMSLi\nTWg4QBJ4xegKI5IkO3fuHF4r3q4oVOkIm5gREaAi+7Oyc7AAeNUlwgoLsysASXW+6O6qeYc61mG0\n+eINN9yw7s8nCXJGN3xlTw7JMRFqXOPoVXF4YZA0ji7KXLwYZaDE8xNG5ZprrilZm9QZfAFnCuyq\nkp5Vf4oDIHkewsYokyMgqWoUkDI58+4tNEmQM4oUtd2/hFCknbp4ynpI551EtlERQFk51kGUmjBI\nldce7UCe1M7r0mqhUanMbRGnRZLTk7r+U1UFI4ntb7lv0YE6lHTeJfuTBDmj4YjKERhVJeSaOFxV\njSGgUNYm5slU5SEl5vmJ9yXhAA2ByPuW7yyOhwI7ATnyrdT4SZhO9JiwlPqtxHmoGuugOTXzbh0y\nSZAz6oFpfLWKPhRDoKyG9AaqAmcK7Cr7mIjIc0sMX/a2VjzKmRawIMZLGyAKIK10mARsCECS76wG\nX1gNOVfCumm4/5577qH1szI5kLN9+/b82I/92BN/vuGGG3LjjTduaK2WtolCrcptUYr5vvvuG14r\nSlE8KDWcUgYuAEn3pyhFCSUI+NdnloZ+4u3KuVI6Xzx8WaushojoT/nO6vAIq6yhslHZunUrrd9M\nztm2bdvy4he/OEm+zq7vK5OcQv6a17xmaK1W3YgyV6p3VNT7kgoUMbqiUBVQisEXA6YGX5SisIVi\n8HW2muwxYUSEWVAQLme6qutwUhdOrWqSmdRVVwlrprlqo7rkT//0T5dTyNdk1IjpIRXFpmGjUamk\nmGWthAPUiIhCFWZBq6sEqIjHKpT+aM+rNZFy16qcBwWzYvzEgGl1lZyrqmaAWu5f5axV9TdLvDpr\nViYJcqr61YghqDrgumElXCUHTcpstUpJ8lME2CkDJe+7qrRY5oQlxs4KC15VGpyYLpFra+hGAJaw\nq1XhvcQcj6qcnD179gyvTeY/2maSIGfUe9NwlbAxoiCqktcS63JaZTj1kO3evXt47Wc+85nhtVoV\nJjN6qkqLNbFTPGUJIQtbqExOVWmxOpdVBRTi6KkukT0m77vSZixnVxWKNimSslE54GKAtES3ih2o\nyouplMowW1XCtIZTBVQKgBcPX/M8xPhVMQuJ7ZOqva1Mjpxp0fsCrqo6Hh+IQZokyBndtGr8NCY9\nKhIC0TyPqm7LotR01pd8Z/E4dY6TlH4K2BCjXTnHSb6V7DE1nFWVmspAVYUHheHUXEo5V/K+BOTo\n/pp3C45JgpxRw61Mjnx8yRMRhVr5zCKSO6BTdKXiR66trFtV2b3k1eiIA6n+kzCGAFI9k1WVmipV\n1VXyvtSxlX0iobKqfJ7Eii/Wk0mCnFHAoMpFcnqq5l5Vzq6S+xawoIydGD+5bwVnVb1bqsB/YtS6\nGL8qViIxdlaq2TRnTL61OADCcCp7Je9MQM6tt946vFZFmfRZmSTIGVWqGlMW5SJKUYxIZZ5HVTNA\nNSLyzOL5Ca2e1BkRCWlWllOL8RNAquzVCSecMLz2xBNPHF5bea5EB4reVnZV1osOFKBx9913D69N\nvGPyrBxSQ7TWXpTkVUm2JulJdiT5H7339eeaL4CMGm71GoXJkdiugAVlNSSxUw64HFJNZhWFKvet\nNLGEbgRsCJui7Kp8a/GUtb+PiDCksse0aub5z3/+8Fph3SRkVFmRK+z/6aefPrx2y5Ytw2uTcadn\n04nHrbU3JHlHkr1JLk9yR5KW5KQk/7q1dlySd/fe/6+hOyoU3XijouGEUREDpK3Y5ZAKe1VZsSPr\nBWhcffXVw2sTT1wele3btw+v1RCIeI3iAJx11lnDa4VNSer65Kj+EyZIGGlxPDT/SZ5ZQLiwq1V6\n5EByMEvwvCTf1Xtf92lba8ck+V+ejJt6smXUcKvBrxoGKIyINgOsSrCsaviYGL0tSctq/MRoy/uW\nc6WAVELQ4inL3q6cUSZ7RI2fAIaqCint4yS6pMreaFqH2pxZOeCT9N7fc7CFvfcHkxz07zxVZZQ2\nVVReVR0g9HRlHlJV52DNQ5L+KVUzoBIDWLJP5Ftp919puy97+/777x9eq7OBqsCZOh6ixwQMV103\nsXcmEYuqXkqJ7+9Z2UhOzi8l+edJvpzkQ0lenOTv997/z7neyWGUUYVcyQ6IEalsZiVGRMJVct/q\ncQozIWu1Z0zVbDUxBPrM8q3F6ZEQiDLKokvEw9eeMXKm5dryvvSZq4CKOJj6zOq4zMpGduxf773/\nw9baD2Yl6fhvJ/kfSRYW5IwmhmrPg6pmgEIxa1tyQeXCqIhi0gaI0udB3pfet4DKqrCPlpsKwJJv\nJd5uZWJ8ZTdwMdpVuVeaGC9nQ/SBhNmUCdcCn1nZCMhZ+zt/M8kf9t6/0Fob14ZPARllNpRGE4Qq\nXqNcV9krMX5ViccqolxEGSsDJSBcDK/ctyazSvxfksTFiGirAAmnVrajkOcWsCDfSm3GvPNTNipy\nJu+4446ya68nG7EE/09r7aYkDyd5W2vt+NX/XlgZ7ROhykUOmoANMUAKcuSZq0J0GlOuSvhTD18U\nqpQHVwHhxEI/p5122vBaqa5Sxk7AbGUTQwmDyDNLyEhHFFSFnOR9yblIxkPQB8pzO6RG7b3/zGpe\nzud7719rrX0pyWuH7uIpIqOGRKnHqoqKyuoqSYatGsinIspYqNrKTs3Sw0TelxYDVDVuFG9VwWxV\nUv6iztySZ9YUBWW/RkXYK0mqT7yZ4KxsyIr03vfu899fSmKJGsUyiq610qhygu+oqGKpYqBEkesz\ni7crykWrqwRUVhk/9ZQF2AmolPcl4Sa9togmpMr6qgrTyjljArBEF2hOzcknnzy07iMf+ci6P5/c\nWIft27fne7/3e5/4886dO7Nz584Nra30RGTTCdDQZmtiRCTpWZ5Zv/Pxxx8/vFYUk1YaST6Q5B5U\nXTex0I8YoDPOOGN4rbIDVTPhlIGSJHPRnxKKrRyGKmdD2BQdsLlr164N/91XvOIVecUrXpFkAOS0\n1r6p92678ikol112WT75yU9+3c82uhE1mVU8qKpBl+opi/clOVBVlUKJefhidJXJqaqcqZzXpexC\nhWhOjuQhCTOh71oAg9y3OHp6pkTvV7FAyhSeeuqpG/67d911V+66666D/p2DWe2/bK3tSfLBJB/q\nve/Y8JWf4jLq8SrIERpPNrsmZ4pUxdGrBoMmDgxHRY2feH7CulWW6Mp6MSLCiGifHHlm+c7KkEre\nlxheYYWVyZEUBzlXlY7xvMcuHazj8ctaa2ckeU2SX26tnZKV/jgfTHJZ771mENMcZBRsaOimqrGT\ngJyqEsak7pkVLGyGbp2VQ3klBxMN3YhyEkZF1lY26BQDJG0dtDdQVZ6cOokCzqoKEdTgS25hVbdk\nDad+6lOfovWzctBd13u/M8n7kryvtfbNSb4jK6Dnn7fWHui9f/9c7+YwyShtWhmukg0rayuTcOXa\nslYNp3jaQukrNV41pkCAnYarqqqrhNVVZlYMrzg9lXPGqtoUKMiRa1eNslD9ecEFFwytu+KKK9b9\n+Yatdu/9kST/bfV/WWV2FlKqBnRWdTyu9L4EbFS1U9fqABmPIAl/2kRL3rcwE1ItpOxqVe6BGnwR\nYYIEFCoIr7pvOVeVZ7KKzdYCiHmnVwxbsN777nneyOGU0TipJs7Jx6tiRBTkSBy+quNxZVO9z3zm\nM8NrNfFYvDcxYLI/dexI1R477rjjhteqsyVtCmSP6EwiCaGI7hZmQp9ZzoYAlcpu86P5ajfffPO6\nP59cCXkybsTU+EkMvzLkVCVVZeCaIHniiScOr73wwguH1yoIv++++4bXVgF4reQQD1+mtl9zzTXD\na4899tjhtcl4H5LEwJka/KpOzQLslMmR/V3VK0wjFvOueJwkyBn9CJopLx5YFbLWDSuKTZ5Z7lvH\nOlQ11dP8FAGVVSMhlMmR9z06Hiax1veqh6rCPpXGT86k6KFKkCNOuYTJdJ6c6t9ZOeSXb619S5J/\nnGTrPn+/9963zfVODqMsYuKxSFUjwaQuAbgqvJfYfQsQ1lwiUS7CfkkYQgBSYuFByT04++yzh9dq\nHpKAJNnb2n+qqmuxGO3KcL+EkMVpkeaeiTPps7KRL/Afk/yDJNcnmS/EKpJRkFPZlryq0kiTwMSb\nkGvLu65MChWFqomdVTN6xNuV3imJJT3LHpP7ViNQ9Z3VyRMHQN6ZsFfzZiU2I3KuhO1Txk4dl1nZ\nCMh5oPf+x3O9arGMGk89pFUgp8oD0muLF6QelIh4ysJqqEIVD2zv3r2H/ksHEAFnW7ZsGV6r6yU8\nKOdZPWXRYyeddNLwWu3vI/ddlTOm+rNqkKswdgpyDnu4Ksn/3lr7d0n+PMnaG++99/881zs5jDIK\nNqrCTUmdR6BgoWp6uqzVcJXsk8oxA3LfkpBaqVAFhIsRkVw1mY2WGKshwE5ziWR9VQWf9smpcm7F\n8VD2vyLx+H9O8sLVv7uv5VhYkDP6ESo/XlV1lSaRCcUsh3Tecd3DdW3ZI+opV3XGlutquKoqP0W6\nU6vDI/ukavJ6UjfsstJhEv1Z1dZBgZ3anFnZCMh5WZLzeuUApDnLqPenhlMMmCgIOaSVYR+RylCX\nhJwk/q9HVLoWCy1/5plnDq+VxotJXSdxeV+ae1XF5CgIl7MhhrcyXCVSBcIlmT/xKeazshFt/vEk\nFyS5YfQirbW/m+Snk7QkDyV5W+/92tXfvSbJLyc5Islv995/cfXnz0/yn5KcnmRHkh/uvX9+9Xc/\nm+RNSb6W5J299z9b/fklSX4vyZFJPtB7f9d69zNqxJRGq0LHcl0FduKJCDir8tATe2ZZq1U3Z511\n1vBa+VZivJQdqDoblSC8aihpZVVYVTFBZU6OXFvOszarHO0zdqDeUxs5Ld+W5OrW2p1J1nikzZaQ\n35HkVb33L6yCmt9M8q2ttSOS/GqS706yJ8knW2t/3Hv/dJKfSfL/9d7/VWvtH63++Wdaaxck+ZGs\nAK8tSf68tXbOKtP0viRv7r1f3lr7QGvtNb33D83ezChYUeO3iNVVCuxkw8shFUOgwE4UqhgCyYtJ\n7J2JMq4K7yV1FTtCyWvvFWk1IPtTmRz5VvLOKpkc2d+yx6r2duKDhmdlI1rtNXqR3vtf7vPHv0qy\nNvfqryW5rfe+I0laa/93ktcm+XSSv5Vk++rf+/dJ/ntWgM5rk/xB7/3RJDtaa7cleXlrbWeSo3vv\nl6+u+Q9JfiDJfiBnVJlXTjyu6vuinrIYziovWz0R8YKkm616q7K+qseOfquqTrhyrnSidtUEdO14\nXNVks7IZYJWDKu+6sl/XenLAJ2mtHd17f2gNgBzs72zymm9O8oHV/96SZNc+v9ud5OWr/31C732t\nz/x9Sdbai56c5BMza7YkeXT1v9dkz+rP95PRD7iozQCrxkkkZsCqEo+VHZD7FqNdWf0n71uShzUZ\ntbJp5Kjod5Y8psqcHNG/VUm4qkuqOrfLHrnrrruG1ybzP1cH2zX/pbV2c5I/SnJF7/2zqzdwbFaS\nkX8gyTlZCTVtSFprr85KLs0rVn80q2HaOj9L77231uaW+DyKNFWhLmISr6LqqiqnSnZAjJDQ28rk\nVIVQhL2qDC0uYqPLxDztqrWJnStx1kQH6reSPSYFEAJypMFmMv9k7QNa3d77d7fWvjPJ65K8u7W2\nNtXt7iQfTfIfe+///UDrW2tvT/LWrICWv5Hk+CS/leQ1vfe19Ok9SU7dZ9kpqz9Lkvtaayf23u9t\nrZ2U5P6DrNm9+vNTZn6+JzOyffv2nHLKKbM/TrIytfVgpbCVPWMWtbitKgQiHlBlsrV4MaocpAxc\nAJLkeajXV5XQL0ZX9ZAwKrJWjG5i77uq55bqbS3HHhVh7PQ7H4xMOP/883PBBRes+7s/+qM/Wvfn\nBz0tvfe/SPIXG7+9r1v73iTvTZLW2mlZ6avz+t77bfv8tSuSnNNa25oV8PQjSf7O6u/+OCs9en5x\n9f//6z4///3W2r/NSjjqnCSXr7I9D7bWXp7k8iRvSPKe2fu67LLLDtrc6WDGUT38yrkvo1LZ5bnK\n263M8xCFqjkPYsC+/OUvD68VhrSSHa0afKsgvGrOWFWfm6QOkCpIEX0g1xZ2devWrcNrDyUPPvhg\nPvGJTxz6L+4jh0tD/JMkz0vyvtXN9mjv/a/13h9rrf1Ukj/NSgn5v1utrEqSX0jy/tbam7NaQp4k\nvfcbW2vvT3JjkseSvH2fHj5vz0oJ+TOzUkK+X9JxMm7EKhWqgI2qHjvJYoarlGKuAjna/VcTWkdF\nDGel4yF7rKr8XNfLHtNvVSVVIyGSOgZKQouqR+Zd4NMWNQwyKq21LnN2RBaxqZRuuHl3r9yoyEFT\nYCbfWRIkpf18YjORhMkRkKPfSvZ3VdNHBTlVz1zZhVxyxkSHqX2V9XImRRfs3LlzeG2S7NmzX5bJ\nhuRtb3tbeu/7UXaLlwk7BxllNionylaNddCcB1FsVV62MjlVHabV+Ek4oSo5U9kB2SfyvuS+K0FO\nJVARqZonpzaj6lwJCNcu5Fp2PyuHPC2ttW1JzstKAvGne+/Xz/UOCmT04yubsohsjObkVFG9VSEj\nvba8bzVAVZ2Hq8I+SR3AqgQ5la0GqmQRJ5gnlldTtbc18VhbDczKwfrkPCcr5eOnJbkmK+XdF7XW\n7kry2t77g3O9k8Moo0ZfWY2qxmMiVb1A9NqVDRBFKueMVXXklusq61bF+Mke0zNZ2dR0EaWq/Fyv\nXaU/NTdQQdKsHEwr/vOsVD99Z+/98SRZHcPwL5P8iyTvmOudHEapAjmy4atYoMpnrkq2rmSv5NoK\nckQ5yf6s/FZV77tqMOhSNi+Vjl4Vi1TZ4mDeVXgHu5vvTrJtDeAkSe/9a621n0ty3Vzv4jDL6Mdf\n1Ez5Re3zUMV8VSYLVlLjVWW2InrdRfSUl7I4omdS+oyJ4yFrNeowbyb9YCDnkdX5UF8nvfdHW2s1\nJTPFoh9PNmyV0a7MT9FQxKhUVhxWevhVQGUJFjYnU3zmSql0PETEZlQ6iYdzrMMzWmsvzf6jFlqS\nxWx4sCqjhrvSw6/asApyqq69qNUri9qTQ75zZWK8SBUL9FQzIt/oUqV7k7qK3kVkdQ8kB9Pm9yb5\nNwf43T1Pwr0cNhndeJoXIxu+Kiensmx+UUN0U2QmqgZdVrJXVQzpou6RSqkC8DpPripctahh8/Xk\nYLOrLj3ITSxms4RVGa3DrwQ5VQa/sstzlWJS76tqxk4l07iI103qGJVKkDPFEvKq/BS1GVUpDpXP\nPO9K4g1bsLZysr4rK7Ol/maSE+Z6J4dRqsJVi+jhVz7zIob3KqWy8diiAqQqj7UyXFV135VSBUgr\ncxpFFrWibD3ZSDPAb8sKsPmBJM9P8lNJ/uFc7+IwyyiTo50YqwzvoiaRybXlWyl7Jb1XFjVJfFH7\nOFXl1Sxqnofkuum3Elajau1TjdXYqFQ2JZ23HKwZ4L9M8kNJ7kjy/iT/LMmVvfffOyx39iTK6Map\n9JSrqm4W1XBW0bzJ4uZbLKLXWBl6qXIe1HBW9U9RqSprXtTqqirG7qnWrPJgLutbklyZ5H1JPth7\nf2RRqcp5SWUJuUjlQatqBljFAqlU5fMkZkSqAPwUQ4v6zIuaJL6IFaaL2lutsiJ33nIwkHNSku9J\n8qNJfrW19t+TPLO19k3r9c9ZJBn9CAryJAxSyUyIVIWrqqafJ3Udj1UWsRfTFFk3feYqA1bJAlUB\nlacaq7FRqXJOk8NbXfVYkg8m+WBr7cisJBs/K8nu1tp/672/bq53sgBSObtqEdcmdZ5fJTtQlQ+k\nCrHKa6w0fpUs56houKoql2hRZVF7Vy3i2qSouqr3/nCSP0zyh621Y5L8r3O9i8Mso4e88uNV5adU\nsldV3pca3aqwz6JOjK9sIb+IVWGVLQ6qmj7OY/2oLGqeXJX+rBwFtJ4cLPH4aUl+MMlZSa7vV5BN\n0QAAIABJREFUvX+gtfayJD+f5Pgk/8dc7+Qwyfbt23P00Uc/8eeHH344Dz/88IbWVirUqioQBXYC\nsKbYCXdR++RUJQ9XKtSqb1XJpizquapkSKcmhxMUPvvZzz7k1PJ2oMPWWvvtJGckuTzJ9qx0OT4v\nyc/13v/rfG/18Elrre/YsWNobWVjJ7m25KdUJUsndRn+qshl5pasVeVS1VVbnrkymbWqo2zlAERZ\nW5mfIvc9xXBqZZ7c6Lm66KKL0nvfb5MdDN5+a1ankK/m5Nyb5Kze+96hO3gKyehLXNR4dCXduogd\nZSvzkCpzW6oUaiU7sIghusoScpHKnMZFrQx+qlUqLaIcDOQ82nt/PFnJyWmt3fmNAHBE9KAs6kET\nmeLgxqrcq0Vt11/ZrLIqf6oysbOKsavcn/LMVQUQSW1z0FFZmJycJOe11q7b589n7fPn3nvfNtc7\nOYxS5cnIhhdKX6SyS6lIVQ6TSmUfkkVkNfQsy/6smgmnuqDSaItUGe1FDVctYvNEvfZ6clCQk2R6\n1MOTKOLJVA3KXNTQjciizihTD30RjciisqPyrSqr6CrDqVVM0KJ+q0UdBXQ4Z1f9oyS/33v/6Fyv\n+BSQ0U2rHlTVTCM5pJVGpCrJcVEHXVbmPFSF2SoNp6yt7Chb1ayysmfMIs4oSxazxcFT7doHAzm3\nJPml1trJSf5Tkj/ovX9qrlcvktFNq6i8qrS4qvRSpUoZKyNSlVRa6UEtaiPBKiBdWf1XOQG9ShYV\nLFTmblXJYZtd1Xv/5SS/3FrbmpXRDr/TWntWkt/PCuC5Za53chilKsa6iEM2K5Otq4yfKocqb3dR\n++Qsqtc4xTDbopZiVwHSSnZV9NiijhFaTw7ppvfedyT5hSS/0Fp7SZLfTfJPkixmKUfqZldVKQi5\nb2VyqnJM5H1VJrNW9W1ZVFHDWQU2FrWL7qLOwZP7rvxWVfrgqQZURA5pwVprT0/yN7LC5nxXkg8n\n+adP8n09JWVRq24EqOgzyxynRZx7NY/1i3bdpC4PqTJ/qqqJYSU7IFJpOKuY3cpy/6rKwcrCjfXk\nYGMd/npWgM33Z6Xr8R8k+fHe+xfnegcFMvrxJXE4qZ2nNCpV3SsTO2jyrSrDVZW5RIvaJE6kyvhV\nMguLOvi2KvwiUtnHqeqZn2qh2IO5+D+TFWDzD3rvnz1M93NYZHTjLWrOQ2XvFZFFnby+qKWbVcqp\n8luJVAGkyhDyoiYeT/GZRSrzOOctB0s8/s7DeSOHU0bRsYRekrqZRsJqTBHkVE6b/0ZSLhuVysTO\nqrBR5f5c1HBVVY5JZbl/VX5fZbf5wxau+kaWjU4dnxXtk1OlzKt67CQGDOWQirdbaUQqB+MtKuMn\nsohltpW5LZVJy1VgozKhfxHB2VOtGGCSIKeKyZH1Rx555PBa2TT6zF/+8peH11Y1MdRY9pe+9KXh\ntV/5yleG16rBrvLeKidbV4EccZjUU17U0uIqgLWo4apFfV9LkFMoU2y2tqiJc7K2EsxWJQuqLGLL\nfV1f1QOqao5dUltpVAU2KtnVRcxXe6p950mCnFEj9MxnPpOuu4ggZ1HDVXLfCnKEjZG1KlWdsSVn\nbFErs0QX6P5c1F5MVQ5A5SiLKkalcizO4RzQ+Q0rz3jGM4bWVXmrSR1QUcUi6+W+v/rVrw6vHc3Z\nWhMJ0em1RUSxVYVftK1D1bmS91XZhVxEzmRSNyizcp5cVapB5bzDJciZg4wa3srEuapNp15jFciR\n+1ZlvKgdj6uMSKXXuIhz3SpzHuQ7V5a+VyXVq8EXXVL1virZ//VkciBn+/btOeOMM5748+c///l8\n/vOfPyzXXsQMf72usBpywEUZV7JXwuTofVflich9q+FcxGaAlSL3raHYKuZM1ur+FD0mzpqsPZxk\nwMknn5yTTz75oH9nciDnsssuy44dO4bWVvbkEO9NjIiAFF0vRkQOqYKFqvCgMlBSFSaGYDR8rGuT\nug7T8/ZWNyNieCsrjapm/8n70iTxqjYaIoezH9Jdd92Vu+6666B/Z3IgJxn/+Lph5ZBWsUCVHmdV\nsnVldYC8bwEpSfLAAw8Mr5XcGEno1zMprRmqznMlQBKpDLMtagNE2SfCCj/00EPDaz/3uc8Nr03m\nn2A+SZAzKpXU+CKWYid1SXuiXJQRkfXCfGnYVcIJ8r6/8IUvDK+tZHIEYC3qJPBKWUQmR4tVqvRn\nVd+rZJl4XCqVE48Xca2urwrdLGIX3MRYiaTO8xNRx0NAUlUekoaQK7vZilT1B6ocSirOreyTz352\nfFzlZz7zmeG1ybJPzkJLVbZ75fTeqgQ2MX4a9hFmQhSTJnZWlb4/+9nPHl6roRv5VpVDNkXkXMl3\nVuMlYU1535XfqirvS66r72ve73uSIGcUmT/VZnJsVCr7PFQlW8tBedaznjW8VkXuW71GUYpy31Uj\nS3S9vG951wrCq5jKyv4pVTpQgZ3sEwGk4pxq2FyZylmZJMgZRamLOrixMlxVZQgEXCl7JcpFDJiG\njESxVU261+aJDz744PDaqgGIEkpI6r6zhptkn2i3+lFRx7gqPChMjjboPOqoo2j9rEwS5FQxOSJV\nTeKUHRDAUNWHRA2nrJdvpfe9d+/e4bUC4EWpSagrqUvirWRXxQjJeVZWo2oeXVVDPl1fVZklIeBk\nCXLmIqOejHr4VaEI8dw0z6MqJ0dCIJrAW9VtWWleZQhGpTIcIKBSWKBFbAyamKP3nOc8h65dFUIR\nva8MklxbwIawwsr+SyuL9WSSIGdUSVSWblaV9FUOQBQDJmEfLSEXL0iAsBqRqv4rAiqVGhejXRW6\nqRwgW9UhOjFQKXusai5bUjfguKr8PHE9NiuTBDmLOIK+KuSk76qKvZJDWtmKXe5bDf7xxx8/vLaq\nw7SCcDF+sk/kmZVdFbAgogyplPsLWBBGpGpyul5b9pjuT9VjszJJkFPF5AhQEYBUlfCs6xexGi0x\nz08OuOTUJB5LHxV535onV9UAUZ5Zq1eEaZS9rftTzsbzn//84bUCZrVZpehA+c5SYarAbt7VrUuQ\nswmpBDniiVQmOcozCztQVRqcWDxbDJh66HLf6qWPiuYRieEUxk7CqVpCLvct3/m5z33u8NrEjF9V\nIYIWAwjAkhw9yYu5/fbbh9cmyTHHHEPrZ2WSIGf0kFcOpxOpqkpIDKhUMV8KcsSIiOc376qEzYjc\ntyRnqhGROTsCsASoaOJxVVK+tjgQ/VvV2VqZnKpGrvKdt27dOrw2mX8fp0mCnFEjVsnkVOXkaBJu\nVV6NiILZKuZM+5AI2BCFKmBB94iUoIshkPCJOh4Cwo8++ujhtZprUTXvq2pGWWIGX+5bkn81XKVj\nIWZlkiBn9CNUTpStGtCpOQ9iOBd12nLVXCItIRdA+8UvfnF4reQCaYluZXfrUVFgJ4a3qgdUUjdk\nU86z7i/Z3/K+RBcoSNGcs1mZJMgZPeR6SKvyaipnr4jxE4UqXrayV0LLC6tx3333Da9NzPMTRuSU\nU04ZXqvUtoSNqsZgVDYllfCLGnwJx867YudwSdVYh6pu3slyQOdcZHTjKJMjyqmqYZoqVFHmQqsL\nIK2cDSQ0sYJw8aDuvvvu4bVivDSZVYyf6APJBdqzZ8/w2sTO9GmnnTa8Vs9VVb6arFUHU/S+MFCy\nVgHlvKfNTw7kbN++Pdu2bXviz/fddx97wBsVUYpVyFpDRsJqSHmvMDmVnkjlYLybbrppeK0oxbPO\nOmt4rYarZH/K2uc973nDa/fVXyMiRkhAuIbZBORILpHc96IOdRbnQUHKZs7GhRdemIsuuihJ8rrX\nvW7dv9MWtWJoVFpr/Td+4zeG1p588sl0bfEIhHqUEIiW6IqHX1UdoOGqqvlT2g5dQKV8q0pqXEC8\nMI2VAzrlmSXkJMAuSU466aThtaJ7BWgoCJc9JiB8165dw2vvueee4bXJOAi/4oor0nvf72NNjskR\n0XBV1ViIyhh+FYtUZYCSui6nakREmUvulXjZ2kK+ynkQ1kxBzrnnnju8VoCG9lKqmuMkDJKSCKK7\nBeRISFT2djJ/9mqSIGfUeKrxqhrcKB669iGRih9hRIQyVSZHwkaimCrLVWWtAKTKnDFhB04//fSS\ntYmFIsTgq/ESJ1G+c2V+X9V9i1QOkF1PJglyRj0K9RrlkMrGqRpCmBgwlPBL1UyixACW0NuaWyY0\nswD4c845Z3itDvMTUCngTPrk6JkUQCq6RBvjyXrRB5X6U2yOOJhyXU3rGHUyL7vssnV/PkmQM+rx\nqidSFTYScFXZeEzKkkUqp5ALra4dZUUhC6shz6zArqq9wu7du4fX6j3LIFbJyVEPXxwAYTkFzGoS\nroCzqvJzjXgsq6vmIKObVj0R2bAScqpsIS+GU5SaAJXKAZ2VVWGSG1Ml6jjIvC/xlAUUam5L1bBf\nNX4C4uV9i5Ooz1yV0yjnSvXnshlgoSiTI+ur+uRoTFn6gQiwE3ClnrIYPzFg2mxNElqrDJCEfRJL\npJUzKXtbWKDEkkpf8IIXDK899thjh9cmdYC0ylFL6hymqrWJMWfryRLkbEIqaThB9MJqaOKxsF8C\nNsT7EgOU1M2ukrBPYjlQcjbEc9OhpMcdd9zwWjFgogukIV9iwFA8fAmTqcgeq2rumZgOlPEK8r5U\nD6n+nZVJgpxRw13Z80DCRmI4texdmBzNjRkVZeyq5nUpIBUPrKp5mMbvxYBJD6jKXDUBpJUDOsXg\nC8spe0yLVeRbLeroELWzszJJkDP6EvXDV03RlZDTvffeO7w2SW677bbhtWKApGeMKmMBdgJUNLSo\nIGlUBFwpkyMiIFz2tjoexxxzzPBaMZyaayHnUtaK46H7U5ggAQsS3qsM0a0nkwQ5o8qpcmKxsAti\nREQhJnXvTJSD0q179+4dXivvS3OJJK9GFJs8c2U5tZTKyn1rFZ2AMwFYypBKmK2qKkyBnYCNKlZY\n2at5s0iTBDmjjIqGT6oqEyqHrZ166qnDa+WwKKshIqEbUcZVc24SSxasaiSoUgXg9bpiwESHaUfu\nKqBSlfyb1LX/EKBROZR0PZkkyBn9+FV9WxIzBOIN3H///cNrk7putrL2hBNOGF6b2LdSL11ky5Yt\nw2sFSMv+VE9ZFLLct1QKqVTNK1QPX4CKrJW9rYBUnEw5G5KmoDpsmZMzBxn18jW+KghVmAnZ7NoM\nsKpfjRwUDVcJwBKvUZWLVFfJtxLmS9YmBsKrypIVpAg7IHtMwrhJXRdzed/ae0ocLgFYEu7XfnLz\nnvE4SZAzaoS0hFw8maqcHDUiVRSzeMoKcuSQy/tSalxyHiQEIms1SVGMSNWoADUCAlTkTGqzStFF\nwsLL+1b2SpxEcW4rW3DoPpmVSYKc0eoXNSKy4atycirZAREBKlplJL1X5IBXDpCtKgPXsQ67du0a\nXiuNBAVQSul6Yv1ThBFRh0nOhjDhYvCV/RcmSICdsJSyNrEZeuvJJEHOKCuiCFO8IAFIErrRJLKq\nsnm5bwEpiX2rqpBRYu9MPE4BV/qtxPBWDU/UMynrpSu2JpRWMTlVoa6kLulZzrOCHE2RmJVJgpxR\nj1dpOKGoFzV0I0pRNrsAO008riqnVtZN9rfsEzEEavBlf8p5FodJGeUTTzxxeO0pp5wyvFYLN+Rc\nVfXN0uo/0fsCNuS6UlEr6z/84Q+v+/NJgpzR3i+qXKoofel1o31yhK4VQyBgQePoAs7m7cVsRsSI\niJcu31mZHNnfciYF2KnjUVXBVzXxPbEQXWV36qo2BZX9kHQo9KxMDuRs3749r371q5/4880335xb\nbrllQ2srwwHiNcqm08ZM4gWJ8RPFpN+56n1rTo6urxBhYhL71pJXI1625rkJkJa9rcZLEvrFaAuY\nrexpVNXBXGUzemjbtm158YtfnCT54Ac/uO7faVU9E6qktdbf+c53Dq2VCbyJGXwJOYkh0H4ekiQp\n166a9ZVY2EdGQihIEUpflLm8L/1WMjRSymxF7yrIue6664bXCpt93nnnDa9NbH8KUBGwoJVwYjOE\n8du5c2fJdZNx9v/+++9P730/hTA5JicZ33iVs1fEEFQ1hUosU76KWdDJwRL2kYQ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4AAAg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\nzo0IpmeeeeY5h0NKL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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "# Second, we use a pvextractor utility WCSPath, which creates a Path object from the WCS\n", "# Start with an array of coordinates:\n", "ep_wcs = coordinates.ICRS([84.806102,84.8061045,84.782138,84.78214175,84.82321362]*u.deg,\n", " [35.75444401, 35.77388845, 35.77388811, 35.75444367, 35.74610801]*u.deg)\n", "path = Path(ep_wcs)\n", "pv = extract_pv_slice(hdu, path)\n", "F3 = aplpy.FITSFigure(pv)\n", "F3.show_grayscale(aspect='auto', stretch='arcsinh')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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xhMNC7IsLXIgcVAIIEro4haUlnoPIlyQcjSZpJYhzwxELFy60n4FQoikVroTy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\nRpzoJKJYYm0QTolQO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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "# Finally, a demonstration of averaging over finite width\n", "path = Path(endpoints, width=3)\n", "pv = extract_pv_slice(hdu, path)\n", "F3 = aplpy.FITSFigure(pv)\n", "F3.show_grayscale(aspect='auto', stretch='arcsinh')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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aEyw+wUymtElqklaCONc4ERee8ITnzZtnr0EYWUKJEg2Y3TwwArQQBpbwQIk+\nYASwJnI/U3qaEYxPQlNZiTGQCW05pN7mG3Ujrl0g9CjhvBEAjNjXBQsW2GsQdiWF6W2S1lWnXnnl\nlfVXf/VXD/z9jjvu0J133tnVGgnTBSTGy0hhbAjaOwHEpbQpIVrHEGdj8+bN9hopTT+JfSE8cgLU\nEkYlZcIJ8V0IO+iyrMQzEGsQkZWEal+JYb4Jp3o6a1x44YW68MILJUnXXHPNYOzWfiml1Le85S3W\nGsQBJXrxELQ3MRaJAD8EM+CyPoTSIEIiKaNiCEmZWUowpES+I/FdiOa2BJgkmDjivqSAH9fZIBgw\nIiWEANaEw0MAMMKuEE6ke1fWrVs3AHH7pZRS3TFRRKVJiqdCKFFCmRMXhVjDFeJsEKCYCM0QgINg\nWAlWMYFpkXKmPhCOArEG8T4IIc6pe+dSqiCJ80XoYsJpIqIJhCxevNj6/NatWwd94saLq3yI0Azh\n7RBNP1Oq9hLyMFI8ekKZE8CaOKMpbTkIh4f4LgRAT2lgSqyRMg6NuHNu7hThNBH6J6X9DNHrkvgu\nBNFBrNEkrQRxruIg2oMQimf37t32Gvfcc4+9BkGdJ7xTwvMjgE9KnzgioZdgOIgqbCJ9gdjbuXPn\n2msQxSIEYNi4caO9BlFYRegfwsi6+odwNIh8SeI5iCp9QncQREcve7wR0spw6hve8AZrDcKoEEIY\nBMIwEWeIqLQ9/vjjrc8TidqEcUwJARB7khJeJtgrIq+OMG6EA+jeFYnJzSMAGMG2EO/UPR9E1TER\nWSGcN8JpIu4KYZsIgsF1Eh544IFBOHW8uPH6888/334GosUIMfaGuCiE4iDCGW54h/DGE8IyUs4M\n15TQDGEgU9qUEDmCBNtLOICE/iFy8wh9fMYZZ1ifJ4BPSmFDyig0QoiwLuE0NUkrQZxb2EAYe4Kx\nIYTINyIofEKJuqxPCktCrEEAH2JPCANLGBWC3SQAKQHyifdBOIAEy0qweSkNg91WFEToj8gtTmG+\nUwpniHdK2JYmaSWIc5UgAcCINQgARngIKcnJO3bssD6fMpOSUBoEWCCcFSJETRhpwqgQoT8in424\n90S+EdG+IQVcE/rH/S4puphw3ojzRXwX4s4S4la2TzSWspUgzr1shFFJ8XYII0uEdxLmDqYM0ibA\nE2Fgt2zZYq9BnHMC+BDhw4Tkd4lxAPfs2WOv4c4qlnKc2YRKf6LrAQGeCAeQeA6CcSZ0OmEje2nf\nWgni3MFgDl/wAAAgAElEQVTNhNJIqfwjjCyRf0U0HXYBVEqLESIHg5hrSTAchCJOGc1EAA6iKIq4\ns4Sk9CQjhKj0d+0K4WgQbB5hVwhASthIAjwRZ5RgN5uklSDuvPPOsz5PKNGUtgmEYXLDmBJjqF2j\nQrBXREUnwTylhEQIL5YAC0RPM4JlJQwTkc9GGPv9I4EcIUYaEbqD0OlEiyJXiHtP3JVe9kXrRgjd\nkVB0N5G0EsS5ioMIpxLM05w5c+w1CAVIvA/iOdw1iO9BGEeCzUtp5poS8ifYcyJtgKjaI9Yg8i6J\n+5Ji7BMKq1LaPREsWkqbJEKHEftCAMEmaSWI27p1q/X5lOHRRNsE4sISBpIIJbhJrMS+EiwJwYAR\nypxgJ4gzSgB84r5t3rzZXoNgnohwO2GYCCH2JWVMncuyEmcjYXwY9RyEDiPOOfFdBkwcLIRRcCWl\nwowIEREhRKKKyH0fKe0fUhrkEqG/lOkCBPM9MjJir0GE7FPmrxJCvA/ijBE2wXVYCBafeBeE7iBA\nC6F/CF2aUmDRJK0Eca4yJi4K0QWaCKsQIZEU1sc19sQzEJc1ZXg9cUYJYEzkGhEOz0Rl/lOVlDmM\nhIEknoMAk25BgcToQdcuECCOuPdETzNiDUIPEuA8Zaxbk7QSxLleOXHh3ZCuxLBoRDiDUD5Ew2D3\nOQiPKyWvJeU5iHAqEWYihDAqBCAlcmH7qWE5wbYQ+Y7uOSXuClHsRgB8Iscwpbk2AQSJ79IkrQRx\nCxYssD5PGEgisTglOZlgn4gQkdsmgGA2ictKgHPCsBHfhWA3iTUIVnHRokX2GoTTRBgVAhgT957Q\nYcR3ScidIs45AfAJAEaASQLUEucrJTTcJK0EcS4LltI3JuU5CNBBFFi4oCPFiyWMNNH2hSjSIEIR\nKRXUBGhJaZdC3Ld77rnHXoPIiSNYfOLeuvqYAGAEGCXuCvE+iVzrFDA56BMHyvDwsN71rncd+Pvq\n1at16623zvhzEIcrpXya8CAJhsK9KITiIfaESKAnlMayZcvsNQjQQoAnIuRPhGYIxpkQgqEg5p4S\nYV3CUUioTiXeBQE4CF1MCKE7CJaWKEKcDjC++OKLdckll0iS1q5d2/h7hch7eSVJKaUuXrzYWoNg\nnohqOaLAgmhXQAiRNO42UCZCbgQ4JxpBE9+FWIMQAoARaxAGgQBxRJEGwbYQvcCIHEECXBOpFC6I\nIyIrKVXHhBDAOoXocDHDbbfdplrrYb3Z1jFxknTWWWdZn0+J1ackWhPVYaOjo/YahHFzhfDa3Iki\nEuPVp3TCJ/aVAE/E+yDAJBGC3Lt3r70GwfYS4+GI0DDhmLsgnwCjKZ0CEoCPxIC4lPGDTdJKEOcq\ndCLsRjBgRM4SIYRxI/JBCPrdFYKtIbxpArQQYSqCcSbCqcQaBHgiACmR77hlyxZ7DUKWLFlir0Ho\nUsJQu2CSsCuEE0mskSIJudZSbyNerQRxLuggjCwRzkjII5OY3BiCoXAvLOG1pZSjEyCOaCGRYpiI\nd0qkLxAgjgjZE9+FYNGISS0Ec0SIqz+I70GkpRD3ntCDRDSBYPMIFo3om9ckrQRxLoNFAB9CeRGg\ngwgN33///fYahLF3L2zK2BsiPE2AuNmzZ9trEO+USD0ggA/h1RNC6J83vOENwJP4QrCbBGAggItr\n7AmwkEIwEH33CMc+JRVjMLEBFtezJzwmIimY8DIISWns6O4LwfgQCdIpfQgJ5UU0tSYkZZQQEV4m\ngDHBchA5XMS+EHlghJF1HVEifYE4o4TuIGxTSo4gcd962Rg7AwXMsLgHnTjk9913n71GiqRUQrpg\nksgxdBsOSwwTl5IbQ3jCBNOSMtOWKCR64IEH7DUIpoSIJqQ0pU6YQ00AWuJ9EgCMYPOI4huCPSf0\nIMEqNkkrW4ysWLHCWoPwmAh0T4AOIlZPeLFEGMBVxITnR+QpEneSAD6EV08IAcAIRUwwzsRzELqD\nOB+EM0s4PQRwIdZw7y0BfAjbRKS2pPRDJN4HAWpdR+OWW24ZtBgZLy5gIPp4EWE3QggDmVJgceaZ\nZ9pruEKEyQklSnh+CaOIpBxvOsXhJZ6DWIMAcSnvlBCC3XSFyHEmGMGUCleCpSXsGwHQm6SVIM41\nLEeqg/PBQhxQAkymvA/Xq0+phiKMI8Gw9rK3UTdCGJWU8U4plccEyJ87d669BiEpfbzcfSHSKPbs\n2WOvQZwNovqZcGYJXUqwtL0kbVoJ4tzLRoQzCAVIAAbCy0hhSlxFTChA4rISye9EIi3BohEhakII\nZU70ZyPCO0T+KAFaEqasSAyLTzgK7nMQYGFoaMheg0ijIHI/iT0h7huxBqF/mqSVIM5VxkTIjMgj\nI1pAEF4XwaIRXqgLOgiGgwC0REUnkfNEhIeIHoIpye+EIu6lMu9GCNY5JRRKMKTEvmzatMn6POE0\nEU4ksa8J03OknJnJvXRmW1nY8Na3vtVag3hnBFNCPAcBwBJG1hCSMqw9ociDWoPw6hPmWkqMo5EC\n4gj2ilgjpXiGOB/u3SccDWKNlCbfxL0nnJWEvPHvfOc7g8KG8eKGAQjPj2A5CAVIhERGRkbsNYjL\n5npdRN4UMV6FANZEgjOhiIlQREoFNeFoEMwkYagJx4twegjAkDL/2ZWU6QIpExuI90F8l5Sed03S\nShC3dOlS6/PEwSAMdUpfISIPg3gO96IQzGZKixFiFi0hBOAgnKYUdoFYg3inhP4hWEXiOYg1CIfY\nBVAEWCCcSAJwpFSlE6lPxLSXXs71biWIe/DBB63PE+GuFCGYEiI3L6GwgZAUdoJQosRzJPTfknI6\n2RNrpIRCCSGAS0ovsIS2GgQrSTgJKf0QCd1BRIncSMBEefytBHFu9R8BFggWjQCTxGUjDHVCiT9x\n4QnvkQBPxNkgQiIJuY4SY+hHR0ftNYh7T5yxlAp7ohUFAToIcYFgSpic0MXEGkQKRMr7IHRpk7QS\nxLmUc4LHJTHVlAQzQLQJSBiYTAAfwmsj9pUYWUMo0YSkYIkJqxDsFdEehHA2iLNOvA8idEeAH2Jy\nhMuCpczEJfaVAE8pRS8p+aNN0koQ5ypBIkZOHFAiF4RI5k8ZIXb77bdbnyeYBcJIE4B23rx59hop\nBRaEELloRAEPATiI4giCmSRYRUKXEu+UAD8LFiywPk84TYQQtimloCAlrEt8l8a1e7ZyqAwPD2vl\nypUH/r527VqtXbu2qzWIZqyEEiXynghDvW7dOnuNJUuW2Gucc8451ueJd0GwJARrRPRH6qX32I0Q\nAJ8I2xHvgzhjBFObMPBdYoAL0YqCeA53b4moSAprRDwHwRYTLD7haEwnnLpixQrtn/N+4403Nv5e\nK/vEXXnlldYaKbkLhCImmDgidEcoDgK4uJLyPXqZg9GNEEwc0f6BMAgE87Ro0SJ7DYJdIIwb0fqF\nYH2I8B8Brt1cxX4K1xNMXMoYxIScy9WrVw/6xI0Xd1OIPB8ivEPkkxBGlngOQvm4AIr4HkTS+ebN\nm+01CPaKAILEGgQzSRgEgvEhDALB4hNtWwgdRoAn4jn6JYeLAGAEK0ncN4I9JxweApASZEmTtBLE\nuWONCKVBsC1ET6CUkAgBflwlmhKeJhRgysxSAnAQ5yuFPScME9FGgihGIti8lGR+wti7Op0AC8T8\nZyKsm3I2CGclpR1Pk7QSxLmHgwBPKVWhKV5XwhgygmEljDThJBAMGMHSEh4oEaImADqRi0YURxBh\nXcK4peQZpszHdIXQP8SdTXFWCCH2NaWFVpO0EsS5QtDmBBAkqhhTJkcQ79QFcUS4jPDoifdJgCcC\nCBIVvwQAS2n9QrBoKWFugikh9pYItxPG3n0OIm+T0GFE83aC+SYKCvppVnGTtBLEuYaFyDciPGGi\n1QABGLZt22avQYRTXQ8yxaAQypzwHgmWlngfBOAgjDTheBEMBeF4EeEuQgjWmZCENiXEnU2pKCec\n2RQ2j7ALhJ1tklaCOBeEEXk+xGUjPBUiEZZgBIlL7wLBlPE9KdVhxBklmIFdu3bZaxBMb4KjIeW0\njyGAIAGuCYaU+C4JgJQA+ITTRDiAxJ6kzAjuZReQVoI4V4ERRoWoQCQkZQ4sYWRdMJky5iWhpF1i\nGganCJGTklKkQXj1hFFJyWdLYbBcQEqEpwl9ToBiYg0CgPVTulCTtBLEuQeMoFcJb2doaMheg8h/\nIIRgjtyLQuwJARaI80UYJcIgEA4PwdakjMojADqR70gYNyLfkTD2RHoLMRfXZZ2JM0pEZ4jzRZzz\nBGAtMflsLku7ZcuWxp+1EsS5L5TIjSESrQm6mWikSrBPRONQ12MilCgRUiHYGiIEQIA4Qomm5ICl\n9HYk8mmJBt0EQCfYTSLMTYgLXAgnkgAcxF0hnoPQx4RTTejBXka8WgniXGNPHHKCXiUq3QgDmTKn\n01UcBANGgFFCiDxFIuRGGFiCpSUkZTA4AXwWL15sr0GwLQn3XmKcHhfkE4494WgQepAALcR3Ic4o\noX96WSXbShB37rnnWp8nNoQIAaQwR4QQYQDXQBJeGxECSBksToS6CBBHhO0IQJrCUBAsGiGnnXaa\nvQaRB9bLbvjdiAvCUiZgEHtCRBNSRuURQjhvTdLK2amXXnqptUZKOJU4oCkDuQmPyVWCKRMbiHAZ\nAUiJ70I8B2FUiCaoRP4oUa1LhN1SKv9SingItsV9H0R0JqU9EbFGyig0wi64z3HLLbcMZqeOFzcv\nhTBMKZMSiOdI6ex/4okn2mu4QhhYIk+RYGsIFo04owSoJZR5SgPTlEbORB+vlOH1BJnhhrkJJo74\nHgQ5QIDJXk456EYIHdZLJq6VIM5VHMThIjy/lPFMBLvQL+0sCINCgOLTTz/dXoPwplMa9RJKlEij\nIJofE2CSMPaE/iHy+4j3QTizrh5MKUpIaQRN7EkCiyb1lnFuJYjbuHGj9XlCeREhIsK4EUaWMPYJ\nDW6Jy5oSgiT2lQA+KbkxRF4d8T6INWbNmmWvQZyPlMKXlN6MblETAZ6I70HsSUp/NmINwt4PmDhY\nLrjgAuvzBLonLgpRnUqEdwgmjsirc0Ec0XiUWIO48MQZJRjBlBY2xGg4ApCm5AoRRpYorCIY+BRH\n1NU/hPNGnA3ifRJng9BhRMQrpVq3SVoJ4txpCcSFJy5sQhNCiQFxxDudqCHiVIQwbASbl8LSprTB\nIQA+ARaI0B/Rgoa4swSbR4SX169fb68xZ84cew1Cl7osWErYjliDAD4peeME40zYliYZgLhpCFFa\nT1xYQvEQholgWwhj7zYfJaqOiTUISQlxE4A0JfRHFM4Q/fsII5vibBBCgElCh7msD+EME+BpZGTE\nXoM4o8R9I5wVAggSEZomaR2IGx4e1vve974Df7/tttv0k5/8pKs1CPBECEHREoqYWIMIA7gAKqX9\nAxECIM4oscbChQvtNQgvlninRAoEAa4JJi5leD0BavtFCN1BsNYpOYaE40WweUeqDc5FF12kFStW\nSJJWr17d+Hut7BN31VVXWWukJI8SrRdS8tn27Nljr+EaJsLQpxQDEIY+pdcccb4IwEE8B7G3xBkj\nQBxxPgj9kzI5whXiXRD2PGVkH0EOEG1wiPw+950O+sQdJC5gIA4ocVEIIEh8l5SqvQQhgCChzFPa\n4KS0fyDuCpF6QIS73NxPSohctBTmKGHEE5EvSbwLgh1NYYtTRmQSDHyT9Ifl7FJchE8c0DPOOMNe\ng/BUCDBJNJZNKSd3hfDaiFyQlBE+KUY6pR8ZAa7POussew3irhB5rASoJSIShJEl2F5XiPuW0kOQ\nyC9OGSHWy/nPrQRx7gEjFOA999xjr0GwaMuXL7fXuOiii+w1EhgKwtATlzWlDQWxJwRoITxhYg3C\nMBHNfns5TLsbSWHgU3K4du/ebX0+Ze5pyiSOFN2RkpPbJK0Ece6FJQ5oSkh2x44d9hpErzkCQLmX\nngi5JYz+kpizkTKblwiJEEqUWIPovUckwBNVeykFXin5ji74IQAYcVeIsC7B0qYAfOJ8DSY2wOK2\nCEkZv+N6fhJDFRMAjDAILoNF5KIRRpoATynDown2iijxJwD6vn377DWIAh6CqSVYVqJtQsq4PeK+\nuPtCOAmEQ02EMVOqjol3SjCCvSwgbSWIc4UALUSvOeKypYxHIcCkq8CIfSXeZ0qidkpDauJ8EYA0\nBbQQeZcpM22JNQhAShhZNzeYABzE2SDuPeGsjI6O2msQZ4N4p4R9a5JWgjiXBUvpAp3SWTsl7OYC\nF4JFI8AT8T4fffRRew0C+BAeeQoTRxhZgs0jcpZmz55tr0E4G4SxT6midnVYij4nmF4iXShljRRw\n3SSt7BPnDsMmNoQI3RHGnggNDw0N2WsQ78M11IS3RChRAjwRiiclnJoySihlMgDh8BA5cYQeJNql\nEKAjYSoIoX9SKikJ8JQyVYTQYe6+7Ny5s7FPXCtB3JIlS6w1CCXqAkmJCaf204V1k3oJZoHISSHC\nGcTZIIxjQtsXiXmnKUY2pRqTALXEvhDnlNDpLpOf0lOR0Ocpd4VIkSEIBjdt4NZbbx00+x0vrge5\nePFi+xmIXCGioiplUDEBJt2qKsKgEJ4fAfAJpoVw8IgqNQIsJChiiblvBGtENOol3gcR9k+pTnVl\n586d9hoEwCfSFxJAMSWEXRhUp8LiXljCUyGSpAkvIyXfiACCbp4PoXhSpi0QYTsCLBDvlDD0hKRU\n3BH3jQDGBCAlmOuUc+o+B+F4EU4kYRNS2GLibBDP0Usd1spw6sUXX2ytQYSICOaJ2DsCkBKXvpeJ\nn1MV4nsQDGuKN02cDcI4EkqUYFpSxgClTDchnA1iDQJMEgUW7hkjHMCUNB1CiBQbQpcmAMFBOPUg\ncVkwYlMJZE6AOCIUQSjihKaMKRMbiDFmxHchvHrijBIsLcF8E8CHeB9EDhgxqorYlxSQT5wPd18I\nHUicUYIdTWm1RNhqoqcrAUibpJUgzj0cRLUK0SYgpQSbuGyEQXAVGAGsiW7nhKTM+SRAC7EvBMuR\nMhaJYK0Jo0KwvUTfvBRm0mVZiRww4owS937hwoX2Gik9JgmHx7WREzX2nxEQV0pZLulvJb1J0mdr\nrX8y7meflPRrkoqkv6q1/mnn3y+V9GVJr5H0gqRra60/7vzsM5KukfSipE/UWm/q/PsKSV+VdIyk\nG2qtnzzc87i9mgiWgwgBEBc2pYw7YdhxSl80whMm1iCAT0pTWSIHjGBriLFsRGiYCB8S75TIA0th\nfVy7QDwDoX9Sel0SjmhKagqBGZpkppi4hyV9XNK7xv9jKeU8jQG4SyQ9L+nbpZT/WmvdKOnfSPo/\naq3fKaX8YufvP1dKOUfSeyWdI2mBpO+VUpbWMZf/OkkfrrWuKaXcUEq5utb67YMfxt3YlF5PBHgi\nJkcQQlxY13MjQBwBWggPlGgqS4SGCcY5xWkiziixL8RzEGwe4XgRrA8BOhIKcIhoREphFRHyT+kP\nSUQTellpOyMgrta6V9LeUso7DvrRckm31lqflaRSyipJ75H0eUm7JO13W0+SNNL58zslfb3W+ryk\nLaWUDZIuK6VslXR8rXVN5/f+TmOg8RAQ5yowApkTngoBGAhFnGJk3YtChJZTZuLu2LHDXoM4X0Si\nNfEcBEAnzjnxPlLGXaUMbCdYZ8LYu2cspcgwJTpD2FkCkBL6h2Dxm+RI58Stk/QHpZRTJD0r6R2S\n9oOwT0u6uZTybyW9StKbO/8+X9LqcWvs0Bgj93znz/tlpPPvh0hCixHiohCKmPD+CC+DAD+uELkP\nhPIizgbhkRPfJWWsG8EMpPRWI8Kpu3btstcgzinhRKY0yXXvHMGOEkCQOF9Ef8iUpudESJZgepvk\niIK4Wut9pZTPSbpJ0lOSbtdYnpsk/Y3G8t3+Uynlf5Z0vaSr3P/m8PCwVq5cedifrV27Vrfffvuk\naxAKkFA8CxYcFqN2JYShJi49YahdRUwonpRu54QCJIA1Eeoi8sgIIdIoejkIuxshjArRr454DiLs\nnxAZIQAHwfgQ+5rglEs5c0+n4syuWLFCK1asOOzPbr755sbP9QzElVKulfSRzl9/sdZ62BhRrfV6\njQE0lVL+UNK2zo8urbW+rfPnb0r6686fRyQtGrfEQo0xcCOdP4//9xEdJKtWrdL27du7/j7jhchr\nIYwsETIjlBfB+hDejmtkiWdImcQxMnLI0e9aCOWVMHdQyumbR4T+iKIEooqaSKIn9A9xX4g13LNO\n3DcCtBBnlHiOlHFqxNmYyvu44YYbdMMNN3S9ds9AXK31K5K+ctA/H6KNSymza617SilDkt4t6bLO\njzaUUoZrrask/bykBzr//i1JXyulfEFj4dKlktbUWmsp5fFSymUaC8l+UNKXDvdsixYtOtw/T1kI\nj4k4GERRAlHiTxhI4n24z0E8A8FsEsUAROiPyFci8kmId0oAMEIIR4HQP8QaKS0giJA9wWC5a/TT\n7GbCrhDRKsKZTTlfTTJTLUbmSvqxpBMkvdRpK3JOrfVJSd8spZyqsZy2a2ut+0/hv5D056WU10p6\npvN31VrvLaV8Q9K9+lnrkf2JANdqrMXIsRprMXJIUYPkewnEwSAo65QO8oTHRBhZNzePMEqEAiTe\nBcG0EOFD4n0QjE/K7NSUhq4pTFzKjF9Ch7lOJPEMxBop0zwIBzClp6LLCE6UwtXKsVsXXXSRtQaR\nyE9UuhGMDeFlEEIAKPe7pIx5Ic4GoYiJtIEUBowoWiFyJt1UDokJEREA7Oyzz7bXIIws0a+OOKcu\n6EiZgEHks6VENQgGLGE03M033zwYuzVeli5dan2eYK9SKjpTcgYIZ8JlWFOauRITCojRXQQQJAAp\nAYwJQEowceedd569BnHGCOeNWIPQYSnFRK4OI94noUcJ8ETc2ZSZySkzpJuklSDu7rvvtj5PGHvC\nEyZy0Xo5060bIZS56wmnsEaEMidyUohwBpGjQ7A1RO89ohqcCB+mhKqIc0o4LASLTxTguLqUSLEh\ngA/BbBL3PiWfdtBiJFBcxZHS0Tql8i9lxAqxL64Qiiclr44wjkTxDQEWiJw44pwTeYYEu0nceyIi\nQVQxpoRTXRYsZUIBsa/EnhD6h9DHBMHQy9ZCrQRxbnUqoXgIZE4oHsJAEpQ14bm57yOlpxlhpIlw\nPRGCJDzhBHAuMTmoxJ0lGBvCuKVICoPuOixEuJ6490SkaWhoKOI5iHeakCM4USShlSDODUMSIC4l\naZMIpxLeH9ESw92XlEHavaTeuxHX2ZEYQJpipFOcppR8I4KxScm7JIy9q0sJsEDo85RUH8JZIRhB\nwokk3keTtBLEuReWAByE8iLAJKEAU1qMuN8lZRQa8RxEgnPKdIGEoheJAT4prYVSACmxL8Q7Je6t\n+12ISABRhU3YJiKyQkR4UuaLEzaySVrZYmThwoWT/+IEQiQnE6EZIs+HOFyEUSGqKd3nSFGiBEtL\nCGEcR0dH7TWIfXHvvMR40wSLljLbMmVSAmHDEpgj4q4QuphgnlLSKIjnIECc6xCvW7du0GJkvLjA\nhbgohLEnwm4Eu0B49YQn7IaXCbCQUlFFsHnEGgSbRwCfDRs22GsQQhgmYuwWke9IGDciEkDcOcKZ\ndauoiXOeUlDQT84swTgTDnGTtBLEuYo0hSomLgrBCKaERHqZdzBVIYAPYaQJRyNFiaZU/BJJ4wTb\nQjhNKdEEYm+JfUmYIU200iEKqwhygACThE0ggDGhO4jnaFy7ZysHi8s+zZ07134GYg3CyBJrpORf\nuR4T8T2I5GRCiORkQnlt2bLFXoMwKgRYIMDTmWeeaa9BFDSlFEcQz0E4s4RT7TpOxH0j9iSF2SS+\nS0pD/F5KK0GcGwYgFE9K8nrK2C3iorjedEplKcEKEEIwm0TeJnFXiBARET4knCYi9YA4pymzdVOa\nH7v7kgKKiTWI1JSUO0u8D9cB3LhxY+PPWgniXEWaMikhJSmYUIDEhSWMmyvEvhKhCCIkSygvghEk\n8qYIIcJdhNNEsNYpYJII+6dMKXD1MaE7CPCUMCtUYhyNhP6jEmPfmqSVIM4dSUQoHmINIjmZGHtD\ngFrC2LvKnFCixHgnQgESITcCtBDKi3A0iPuWMqqKyAEjwl1EGDPlnRLA2A3dEcCauLMEiCMAPsGi\nETmCKRW/TdJKEOci/JQml4QiJsYipVTJuoCBMCiEEk3JqyNALRFyIxQxwSoSDk9KQ2lCUsZuEbo0\nAbgQOjDFrhBCgPOUObC9LBLL0AYzLK6xJg4XcTCIy0asQRRpEGyLayAJ75Gg3glmk9hX4jkIQJrS\nB4xYg2CvEoa1S8y+pDC1xPtw9U/KDGoC+BDOCmFnCZ1O6NJegrjWNfu98sor66/8yq8c+PuaNWv0\n4x//uKs1iLlwxHsnwiopFVHEpXcZm5Rco5Rkb2INYl+JVgMpwIdgr4g2JYQTSbD4RJsSQg8mTK4h\nWEkCgKUwvSlFd0eqgPDyyy/Xm9/8ZknSpz71qcZmv60DcaWUes4551hrLF682H4OomqPkJQKV8JQ\nuywYAcAIZiGlOIJg0QhmksiNITxyYg3inI+MjNhrEKFhAhgTgIF4pwmD4wmWlnifhE0giu4I/ZMS\n1XAB+tatWwcTG0ghDighxCFPaaRKVFO6+WiEkU5h8whlTihAwiAQYIEw9CnzVwlQS7xTIvxHMJNE\nziTBxLl3LmG8k8Tc2ZR0DiJHmdDHhNPUJK0Ece5lI1gOQpkTQhxQQnEsWLDAXsMFpCkMGAFoiTAm\nUeFKKHPifRB7Szg8BPAhzlhKQ1fiOR555BF7DWJfXBBGAA7CeSP0ecq4vZSiO8JpapJWgjg3p8Rt\nUSIx4IlQgMThSpi2IPmMYEoTZ4IRJMK6hGHbuXOnvQaRA0Z49UQaBXFn9+7da69BsC1EqDylOW1C\ng1siT5EALcT5Ip6DGA1HOBqEfetlD9NWgjiXOicuPOF1EQAsJSeOYBdc0EFc+G3bttlrEJ4fUTFM\nPOGghGIAACAASURBVAcBaokEegLUpjBxxHMQgIEILxPh1BTHyd0XwtEgbBMRnk6Z4UoAUiJdiOiD\n2iStLGxYtmyZtQZh7InCBoLNI3KFCCEMgpt3MH/+fPsZUsJDBEtCCJG3SeSgEknjhKFPqQYn7ltK\nixHC2BNAkFjDFcKhThlzR9w34q4Q+sd1mp544olBYcN4cQ8HUclEKNGU6rBedqPuRlxgTHyPlEa9\nBNObwpIQaxAMKXHfCMNEhJmINYgwE+H0EEwt4Zi7+oPQHYRtSsmXTBHCIXaB4F133dX4s1aCODfU\nRFSaEB4TQb8Thiml07ibiE94jwQ7umPHDnsNIheNALVz5syx1yAMQkoOGDHBggiFPvzww/YaBCAl\nnA2CiSP21tU/BLDuZdiuGyHOBkF0EMCYIDqIfohN0koQ5yp0IjRDsBwpTByhRImcOPedEgqQUF7E\n+Urp05QCjAkjTdw34owR74NYg0g/IIRIPyCAsWtXiDtLrEHoYuK+EWeUcN4IZ5ZgrZuklSDu3nvv\ntT4/e/Zs+xkIZd5PoVCCzXO9HSJsRyjRlBAkkRRMvA8CPBHMJHFniV5gBANPhMxSZskSzDVRAe2y\nzkSbJQI8EWsQ54twiFP6Ie7bt89eo0laCeJc2pugeVMSiwkPgegnRjTbdN9HSrUvsSfE+yTeR0pP\nxUWLFtlrEHu7a9cuew0CPBGFVUTLFSKcSjjVCYn4vWRruhEirEvkKRL6h4h4EalP7hoPPPBA489a\nCeJcw0IoHgLdp3gqBCAlFJj7XQjvsZ+qvQnDRrBXBPNEMIJEbh7ReuHBBx+01yCMG/FOib0lzmnC\nvFDibKQwT0SBBcEIpjQdHoRTYXFRMaG8CMVDhEIJ4EIIoThchoIIQRK5NYTnRwCOlIIVQog7SyQn\nEwxpSvJ6ysxS4pwS99a9c8RdIRjWFNBC7CtxvlImpDRJK0GcGwYgNpUAcYShJp6DMEyEQXDXIBjW\nlCHWBCAl2BqiCpIQAoARIVkiB4zIryH2ljinRPI6AVwIFsxNKyHOKHHvU1rHEGeU+C5EuN6Nmm3d\nurXxZ60Ece6FJZR5ytzBlGkLCe0siFAoER5KaXKZwhoRhimlwpW494RRISSlcTGhB4kz5oLafmKe\niPtG6EHC0SDuPfFOm6SVIG79+vXW54mqvTPOOCNijZSQGeFNu5V/Ke+CyDFMGbROMKxEKJSoCiVA\nPlGUQFTaEsCHKGwgkugJZpIw1K4OI/LZiH0lgA+hS1Na6RDSy1zpVoI415MlKm+IsBshxIVNSSx2\nQQfxPVImJRBhu5Q5nwTAT2G+CTCZMhc3JZ+W2NuEPpUpPc2I90lEeAhnlmDziIhELwtnWgnizj77\n7CP9CAh9v2fPHnuNe+65x16DuLBDQ0P2Gi64TunPltJcMqWJM2FUiIawBPAh3gdxxggdSDizCe0b\nJMbYu6wPcc4JRjHFeSPWIN4HASZ7OaO8lSDOTbYm8p6I3mpEc0jiOQgDSShit+nnvHnz7GcgQn9E\nyI1QGkQogmCNUkbDEQxpSjES8RxE/hXhiPbSQHYjLmOcMm+UcCKJNQhnhXBEU8a6NUnrQNzw8LDe\n//73H/j7HXfcoTvvvLOrNVJYDsLIEoCU8MgJ4OJelJQcDALQEi0TUipcCWBMOCspcz4J8EQAY6Ki\nkygSS2HQXeaIcDRSmsgTbB6xJylO03T29k1vepMuuugiSdJHPvKRxt8r/dScdCpSSqlXXXWVtQaR\nSEtcWGK4OAHiUhLx3bwDIqRCAPwU+p4I/aUYlYTEdSmjqayUkyNI6B9CiPPhAnTCeSOE2FeCiUsp\nzkoI1995552qtR7WuGRolBkWd1MIr54ADIQCJIwKcekJo+JeeoJpSZg8IeWMhksBPil90QjnjWDz\nCHaTOOvE+UgRd18IZ4VgjVKcyBRJSedoklaCuO3bt1ufJwAH0R6ECGcQh4vwVJ544gl7Dbf1ApG/\nRTTsJDxQwtATBpY4X9u2bbPXIPI2iTtLGARCCAcwpSciAX4IHebeuZRGvQlREYmp5CYA6ejoqL3G\noE8cLC5zRByMkZERe42UyREpBsHNryEMCqEACUVMrEGwV8Q7JZhvIlxGAMGUCsSU9iCELu0XppZw\nylPOF2GbUirKCZ3uthSbCEi2EsQtWbLE+jyRNE70niEaZRK5C8SlT+isnRKCTMmNITxhQokS54tg\nWQlJKYoiwqkpeYYpQNB1NlLG7SW8C2oN4ruk3LcmaSWIcxUp0ag3pWqGCEUQ8zEJz831mFKa/RKh\nZWJfCQBGfBfCMN1///32GgRYIHRHwnQTiTGQRFV6ygxXN52DOF9EsRsR8k/p/0dUcj/00EP2GgQQ\nbJJWgjhXcaTkcRBAkFgjpaO+CwQJRU4AjpS8qZSu/sT81RTQQpwxgs0jdBjhsBB6kGA5CADlsr1E\nSgkBFogwJhGeTpnNS9xZ97tMZNtaCeLcwgaitxGhAAkhvB3iuxAKzAUMxGUlQu0pLBqxBgEWUvrV\nEUAwxVAT859dPSrlVP4RZ8y9twk6UGKcBCJdKCWfLYEsmagpditB3IoVK6zPpzR0JYx9yqxPIuzW\nywqgqQqhAInvQRh6wiCkFIsQAIy498S+EICDaNBNCMGi9UsuGQFoiXeRkJ8sMTaSyKtLCQ03SStB\nnGskCdBCeBmEYSKUKJF3QDRQdpVgwvxEiQFPBCNInNEEL1Zi7izh8BB3lhhVRbRNIMb+EaPuCNaH\nuPuuEM4KsUYvk/C7kV72VutGCMd8MHYLlttvv936PFHpRihAwnskGLCUxsVugQURJie8aQIIEnlk\nBDgnEteJghOCXSCAccpcXMJRIPQPIUQ+G5EH5gIoAowSjA+RyE8AMOLeE4VE6XellSBu+fLl1udT\n2BbCQ0gZj0IYWbcyK6UdBqGICaNEGEfinRKsEcEupIwjIhpKz549214jpQcgccYI/eOmtxCMMxEm\nJ4BPymjKlJGQxHM0SStBnMuCpVSHEQaBOFyEcSMuihsyIzzhlCkaKT3vUt4pwV6ltH5JKfQgniOl\nJ2JCCJEItRM2gWDAiIgEEQkgCngI3UHsS5O0EsTt3r3b+jwR+iM8UKK1B/EcBKglDILL2BDvggA+\nRPI7wRYT7ARxNgjjRoSXCQBGMLWEA0icMSI3j3inhBA63WWwEtosUWsQ+px4H0TOJaHTiVSMJmkl\niHM3hVDEhFEhvJ2UnncJwCWlpQYRLiOeg2Brdu3aZa+RkrdJ7AuxBsFeEcx3Ss4S8T4I0OHqMIK1\nJvaEcLyIPSGANSHE+yAc4sa1e7ZysLgInwgfpswuJDwEwiAQkvAcBPVOAFpiX13GmhLCMG3evNle\n47777rPXIBwvwokkwNOZZ55pr0FEE4izntDImQALhP4hQssprXQIO5sydaZJWgniXCE8BGJTCXaB\nCFWldAl3mbReekvdCKF4iO9CGFhCiO+ydOlSew3irqSEQgkgSICOhMHzEqOP3arOBCdUYvK3UvK1\nU3R6L/c24xvOsLgtQlIGvhNCKC9ijYS8upQkfEJ5pYwzIhwe4p0mNHOVmHdKtIAghGi1RORuEveF\nOKcuY0zc2ZRCNYI9J3LiCPBERCQGIA4WV3H0MkmxGyHAZEqVGqHM3RAR8QwpbUoIpUF8F4I1SlHm\nKcnaKVMwiObHRI4gccYSxtQRoXYiTJ4yi5YAkwn7Kg0KG1AZHh7We97zngN/X79+vdavX9/VGilD\nrAkh2AWimmnnzp32Gm4SvdtnTsqZjZkSpiIMU4qRTilKIPKeCBBHPAcBjIm9Jc6pyz6l5EumpPoQ\nDg8R1iWA8XTexwUXXKALL7xQkvShD32o8fdaB+JWrVplH46U1gvEISeEeB8JuXlE2C5ldFdKaIZQ\nooRHTjgaIyMj9hoEeCKMPdEUljjrxDslgDHxTl0HjtA/KSOiUphv4n0QTsJ09ODdd9+tu+++e9Lf\nax2Ik3zwQxwuArQQfc1SqmQTJkck5MVIOVVZxIgogkUjzkZKPhvxPgjGmBCikSoBXFKajbt2hQBP\nxF0hAG0/tb8inFligkWTtBLEuWEAgikhlAahvAjgQnjChHFzZ6emsEYpuY4pI8SIEn/izhJOU0qR\nBqF/iO/ST46ouy+E05SiwwinKWXcFVFIRHRfaJJWgjg3t4VgW4hKSIIqThnPRHhds2bNsj6f0lKD\nUOYPPvigvQYRRiCaWhN3hQCkBJgkjBuRo0OkYhD7QoDrlCkYLuuTEvojkvCJ95mSI5jC5jVJK0Gc\nu7GEIiY8UEIRp8wuJJg497KlMByEMicqBwk2LyHXSGJCoQRDQZxz4s4S4ImYbZkypi6hBQ1xZ4kz\nStxZ4nwR3yWlSMPNQd26dWvjz1oJ4txNIZQosQYBJlOSWBMmHRAeF5HrmNJSg2AEiXOeMsSaYCiI\n3BjinaYUNhA6jFgjIYRIPAOhO1KaJ6c0pE4hXJqklSCOoJxdIQAD4TERB5QILycYBDccKzE5KW5u\nn5TTH4kwCAQTRyhRorktEZIlzgcBalPSD1LyDF19nNIgNyXETbDnKb0uie/SJK0Eca5RSMknIYwb\n4akQwIW4bO53SQmFEmFMoqUGwTwR74NweIjvQpxzIkfwjDPOsNdIKcAhQD7RpoQ4Y4sWLbI+Tziy\nBEtLMPCEjST2xO0dKjFOEwGMm6SVIM41LCkjjYhLT6xBCOGFuh5TyvskGA4i+Z0w9ISzQoAnwpsm\n1iD2lmCNRkdH7TUIQ020S1m4cKG9BnFv3ahGStcD4r6l9Hgj3inhaBzRFiOllHMlXSFpiaQqaYuk\n/1FrvadnT9VjcQEUATiIJFbiOQhJyb9yc6eIcBmhvAhvup/y6lL65hEsGiEEU0u0TUippiTOOuFU\nu/p40G7l5UIAa+LOEuF61wHctGlT488aQVwp5YOSPi7pYUlrJG2SVCTNk/RvSymzJP1prfX/tZ7u\nCIi7KSkNXQlmIKWxI7GGq8wT2gxIzL4S4cPt27fba2zcuNFegzgbhDKfPXu2vQYB0ImeU4RhIlg0\nArgQYDKhb2fKqKqUiUTEnhBpJYQ+7qVMtFsnS/qFWuthM3FLKSdI+lAvHipdCKOSMpeSoM4JZoBY\nw1WiKQOXU3qaEe0f3DwhiQHGRP5oypxPQlIcL0L/EPeFEBeEpRSZEaCFcDRSChuI89XLe9+IJGqt\nX5rog7XWxyVN+Dup4qJz4qIQnnBKX6EUILhz507r8wRLQrwLIm9qaGjIXoNgBggwSfQjS5kzTNxZ\noo0NkaNDFBQQupQAkwkNpQmwkFJJmeJ4peTTHumcuM9L+n1JT0v6tqQLJP1vtdb/p2dP1WNJ6KxN\nCIHuicuW0pzWDXcRwJoQAtCm7CuRe0WEQgmDQLTlIEJEhFEhWB9iX1J0KZEA754xAoymSEpYl7hv\nxHMQ9q1JpvJ0b6+1/k4p5d0aK2p4j6T/IekVC+Jc6acWIykd0xMMJHHhCfBEME9EQQGRT0J4woSh\nJ0KhRMUvwW4mNMaWGN1BnI+UNVwQRty3fuoPSURGCF1KMJNHusXI/t/5ZUnfrLU+VkrxLdURFNcL\nTVGAKU1QCSObkHeQ0uSSCDEROSkEWCDC9cS+EIUexPsghDBuxHchGGOiWCQlVO4+B+HYE84K4QAS\n9i1lhBihS4nUgyaZCoj7/0op90l6VtJHSymzO39+xYqbU0KE3QjDlNLPh2CfEnLz+mlUTMrZIBwe\ngiHdvXu3vQbBLhBM3KmnnmqvQbTTIZgjApAS4Cdh7FZK8U1K03PibKSM3XLtwkSdAiY9dbXWT3fy\n4h6ttb5YSnlK0jutJzrC4m5sSjiVYGyIi0LQzYRBcJ+D2BPC8yOUKHE2iJwnIieOMLDz5s2z10hJ\noE9poEwIwZASjhOxty5AT3HeCCHuLLEGoUuJNYiwbpNMyXWotT487s9PScqIK0xTXI+JUBoprA/x\nHIQk9CYickEIb5pgaYnvQoybIUJuBCAl3inBohH7QoRCU6oHFy9ebK9BhO4Ix9xdg9CBxPki7kpK\nI3piX4lz7kbvLCau32R4eFhXXXXVgb9v3rxZmzdv7mqNlNJnAoARz0FU3hCK2GXzUnpWEcqcyDUi\nQAvBxO3YscNeg9hbIjeGYJwJZoBo1JsCwFLYFvfup/QhJFIgUmbzEnfWnQQkTS8n7vLLL9eb3/xm\nSdJ3v/vdxt+baGLDa2qtfqwtTFatWqXVq1e/7N+69RpSqOIUz41Yg1BgrtdFgFHiXRDsFRHiJhgf\nYg0iJ4V4DoKhSGnoSoTuCGOfwhwRjI27L8S+phQDEGk6BIgjUg8Ix2vWrFldf2bDhg3asGHDpL83\nEQr4USllRNKNkr5da93S9VOECrEprqQ06k0JpxKsT8LYG2KNlLmDhIElmv2mdJAn9oUAHASLRhhq\nYm+JqAbBohF7677TlGkehF0hwvUprGJKq6UmmWhiw8WllNMlXS3pi6WUhRrrD3ejpFW1Vp8HP0Li\nMlhEx3TCQ0hpqJiifAjF4QphDAjj6E6vkJhQKCHEGT3rrLPsNVLa8aRU/hF981JSMRJyp1L0OQE4\nUiI8BJtHvA9iDnWTTLjjtdbNkq6TdF0p5WhJ/5PGQN3vl1L21lrf0bMn66G4HhNxUVLCqSl5dQQA\nc99HSmNagiUhGB/ibBBAkHgOQokSoIVwAIlzSjBg/RR2IxynBCeS2BOCvSJSQggQl9C6SppeOHW8\njI6ONv5sylav1vqcpP/e+Z86zNwrUlxjTxjIhJJ2iVE8CaFQKWN2YcqIFsKrT2ndQIA4Yh5tSmNa\nQv+kOIDEdyHuC6EH3bNORGcIIYA1oc+J5+iXopeJZNo3udbql4wdIXEVKQFaUqpTCSG+C2FUXCVK\nAI6UfSUKG4gGuUQ+CaEAiX5khDInzhhxVwhQSxRpEO+UEIIhdcEkAfAJ3UFEE4giDSJMnkJ09DIP\nv3UtRiSfpk0JAaSASUISgCDhPRJ7QnjkCxf6RPl5551nrzGV6qrJhACkKSkQhHEjDPWmTZvsNYhw\nF3FOiabUxL1NSOdIaVOSskZKP0RCdzRJK0FcAu1NHAxC8RCeMPEcCSNnUvr/pRSKEO+DmJRAsGiE\n40XkChFzKd38Gkk6//zz7TVSQsNEOJVYwwXoxH1LIRgINi+lwjWlt2OTTAriSimXSPrfJS0Z9/u1\n1vrGnj1Vj8UFcQlem5TDHCVMW5B8AEUAsJQ1iD1JMbAp75RIft+3b5+9BhHmJuT000+31yAc4pS2\nPu4aBOBImTdK6A7iOQg9mDJWskmm8g3/vaTflrROUkYSlikuiEupLCXya4jvktLywPUgiVAX4T0S\nXltCoYjEGCbifBFC5IARFa4EICXOekrLFUIPJrCKBBNHfI+UKRop/TKJfSH6VDbJVJDE3lrrt3r2\nBEdA3MORwpQQaxCSMgfWBS4JbKDE7GtKviThgRIzXInnIJQ5kQN22mmn2WsQgJS4s0R4mciJI0Ct\ne+cI/ZPAKEo56QsJTZwlppCoSaZiLf7PUsrfSPqepP3wutZa/75nT9VjcT2mFANJCMEcEd+FeKeu\nEkzpmZfyPlNC/ik5Tyl9BFMamCbkkUlMZSnxHO4aRAgyIaIhMQx8SusqQg8SDmCTTOXp/ldJyzq/\nO97KvWJBnAtcUox9Sjg1xdtxLz2hRHtZhdSNEEqDMI4ES0LcFSK8c+KJJ9prEO+DMCopLBph7IkQ\nIgF+XLuSkjaQkouW0suQYASJfNommcpbuljS8prQjhoS18ARxp7wMgjgk+IxJTCTKcUAhBIlDBsB\nSIn8GqI6lQhnEGFM4nykhOxT2kgQxREJ0zhSmO8Up5x4HwQ4f+qpp+w1jjSIu0XSOZLume5/pJTy\nzyX9S0lF0hOSPlprvavzs6slfVHSUZL+utb6uc6/nyLpP0paLGmLpH9Wa32087PPSLpG0ouSPlFr\nvanz7yskfVXSMZJuqLV+8nDP4x70lMuWgquJ95GQWJwCzol9Jb4LEWIiphwQrCLxPlImtaQURREA\nPWXCCcGyunmGKakYBIgjzgZRFUo8BwEECd3RJFO5QW+WdEcpZbOk/W+k2xYjmyRdUWt9rAPa/p2k\ny0spR0n6sqS3SRqR9ONSyrdqreslfVrSd2ut/6aU8rudv3+6lHKOpPdqDFgukPS9UsrSDlN4naQP\n11rXlFJuKKVcXWv99sEP4xqFFBBHKGIirEJc+oR2KSkh7pTqQ8KwpUw5ICRhSLrE7C1x3wgjS7DO\nKTmTKWOzEoRwZgkhCpqI70IAwSaZChq52v2P1Fp/NO6vt0raX6J1qaQNtdYtklRK+Q+S3ilpvaR/\nImm483v/t6R/1BiQe6ekr9dan5e0pZSyQdJlpZStko6vta7pfObvJL1L0iEgzt2UlKG6BGNDrEG8\nD8JTcY1syuD5lLFKhBdLOAkEWEgBYCktfYg1UopnCPBErOGC65TICiEpeawpZ7SXoLbx6Uopx9da\nn9gPsCb6nS7/mx+WdEPnzwskbR/3sx2SLuv8eU6tdbTz51FJczp/ni9p9UGfWSDp+c6f98tI598P\nkYTq1JTET0JSmLiE2akpFVUpPacSqo4lhmkhgHE/gThiDeJ9EIwxsYYL4vppUkJKtIpwAAnd0Utb\nPdHK/6mUcr+k/yLptlrrI5JUSjlVY8UO75K0VGOh0ClJKeXnNJbL9pbOPx18Wsph/k211lpKwdwU\n1+siwhkplaUpksCCpYC4FJaWCAEQ3jRh3IjEdaK3GiG9DM10IykFFsS+JDBxxDkn7j0BBIl7TzwH\ncTaIinLCSWiSxhtUa31bKeXnJX1A0p+WUuZ3frRT0s2S/n2t9R+bPl9KuVbSRzQGyn5J0mxJfyXp\n6lrr/tkzI5IWjfvYws6/SdJoKWVurXV3KWWepD0TfGZH598XHvTvIzpIhoeHNTQ0dNhnfvrpp/X0\n0083faUDkpIAn+JNpyTTuoqD2NeUkBthHFOAILEG0S6FYCZTclBTogkpTBzBtrj6g6jUTWHzCD1I\nONVEexBCd0zlfC1btkzLly8/7M+++c1vNn5uwltYa/2+pO9P+l8//Ge/IukrklRKGdJYX7mVtdYN\n437tNklLSylLNAYO3yvp/Z2ffUtjPeo+1/n//zzu379WSvmCxsKlSyWt6bB1j5dSLpO0RtIHJX3p\n4OdatWrVhEBtKt5UigIklHlKs9+EiruU6sMUhpVgJwhP+LHHHrPXIIwKsUZKL7CEanApp7I9IbqS\nwsSlOOUpLY7mz58/+S9NIlMBk88995zuuuuurteeqaSq35N0sqTrOkrs+VrrpbXWF0opH5P0HY21\nGPmbTmWqJP2xpG+UUj6sTosRSaq13ltK+YakeyW9IOnacT3srtVYi5FjNdZi5JCiBslXxsQhT5lt\nmSLEpXeVeQo4TwFxxPkijGPKZAAC1KYURfWTw5LSc9NdI6XxcUqvOWJfibAukQvby1SM0k8VMVOR\nUkolOo0nSAr9ngJIXeo8pRiAeJ9ECJJICiZYtNHR0cl/aRLpp+rUlKHeKe+DcJwIkO+C65RKbsKu\nELiCeA6iUfiuXbvsNUZGDsns6kre9773qdZ6WBo/o7xxhsVVHCmtPRKmHEg5MyUHhQ0/kxRPmGB8\nCCYuofpZymGNUhooE/uSwm66kgLwCUkpsCDOeUq7piaZFMSVUt4oabnGChTW11rX9expZkgSchdS\nvB1CUqZPJFTt9RPAT+n/lxLGTMkBSwHXKSAuAYClSErbqRQQl+Lw9DKcOlGfuBM11l5kSNKdGmv/\ncX4pZZukd9ZafZ7yCIl76VPAU0phQ0pFlLtGSqVuSk5cSqgrBSwQ4CllDWJfUhj4gfxMUhzqlMIG\n4oympC80yUQ3+fc1Vj3687XWlySpMybrjyT9gaSP9+ypeiwJxp4Q4qIQACxl5p8rKSAupU9cCvAh\n8tlSwHUKMB6AuIE0ScqepEQ1UqabNMlEN/ltkt64H8BJUq31xVLKZyXd3bMnmgFxNzbFU0lh4lKe\nww1Rp3yPFCHeByEJAF/KmVCQYmRTnmMgeULoDiLlKKX4r5cyEYh7rjOf9GVSa32+lNK7LL1XgKQw\nYMQBJb5LQihU8r9LCgBL8R5TWg2kAJ+U50gBTynndCCspDBgKY2xU+xCk0wE4l5bSrlIh47CKpL8\nJJUjKAnGPuVwpTSYJJS5C2qJnkJEIm2KYUs55ymMYD8BwRR2M0V39IukEAwpdiVljV7KRCBut6Q/\nafiZ3zjlCIp7wFIOeQrdnJIH5iqwfgIchPQTa0RIyjlPYK2lnO8ykJ9JCohLsU0pZEkvZaLZqVc2\n/ayU4tMNR1BcxoU45EQ7jH4CHQkeU0r+REqIO2FPqDUI6afnSDFuxDlNaavhSkJecNIaKWRJCqht\nkimf/jJ2235BY7NNf1nSnF49VK8lgbHpJ68+xbi5khKeTmnZkuIkpNy3FPCU0oKGkH7RHYSkODwp\nd3ZwNqYmU2n2+2aNAbd3STpF0sck/U6Pn6un4rJgKcg8ZY0Uw+Re+pSeQimtLFJYxRSDkJKLltIu\nJaUCMeV9uGeMiM6krJFiVwhJaQvUuHbTD0opfyTpn0raJOkbkv61pJ/UWr/as6eZIXEPRwrbQkgK\nYEgw9ingPCWcmiIpTkIKAEu4K9QaxJ0jDGSCo5CSYtNPDFg/OV5NMtHp/zVJP5F0naQba63P9ZNh\ncCRFeaUo4hQK35WUcCoxZ48wbCk5OglnQ8phnlL0cIozm3LW3TVS7EqKPk95jpR32iQTnf55kq6S\n9D5JXy6l/KOkY0sprzlc/7hXkriKNCU0Q6yRckAT3mkKACMkhc1LcVYISWHPU9qDEPtCtPVJSR1w\nJUWPpsxuTtFhKfm0TTJRdeoLkm6UdGMp5RiNFTMcJ2lHKeW/11o/0LOn6rEk0MUprE8Km0eIe9lS\nvEeCrUlRxCnvg2BrUnJQCSH2NqVKn5CECtcUm0BIPzFg6TZySie31vqspG9K+mYp5QRJv9WzCG3t\ncwAAIABJREFUJ5oBcdF5ireTEs5Imb+awMQRkpIDltKYNiWMmcIMpEjKvhCSosMGwkoCYSMdISau\nlPIqSe+WdKakdbXWG0opF0v6Q0mzJf1fPXuqHsrw8LCOP/74A39/9tlnuw6BpQAfQlKMSgILlhLi\nTmHAUs5ovzC9Uo5Xn8JQ9BOIc+9+iu5IsQkpZMmRAoLHHXecjjvuuEl/rzQ9YCnlryWdLmmNpGGN\nTWlYLumztdb/zD3qzEoppW7bts1aI6WKkViDyEkh1kgwTClVSESbEmKNFGaBCLkR4bKU/mwpaRQp\n4a6Us+6CnxT900+9Q1OcFfeunH322aq1HnZjJtJsl0t6Y631pU5O3G5JZ9ZaH7aeJkDcF5oSmiGk\nn7yuhHBqSsgtJSeun8KpKXclwahIObmbKTNt3fuSAnxS9E/K+0j/LhOBuOdrrS91HuDZUsrmfgBw\nUg6AciUl/Jdy6d19TckBSykGSDGOCSytNAinHiwpTk8KY5ygfwhJcVZSwFPKXWmSiUDc8lLK3eP+\nfua4v9da6xt79lQ9FndTUrzHlLmDKR6TC1z6KZxBSMoZTWHziLBuCgOWojuINVJAnCsJeXnUGoSk\nMM4pjleTTAjiJGXsJiwJoCOF5UgxkAkl/inKK4U1Ip6DAD4J91XK8eoJSQlRp7CbCQ5cyrtIOaMp\nDk/6O53Icv6upK/VWm/u2X/9CIm7sYSxf+1rX2uvkQB8pBzvz10jJZyRrjRmWlIS6FOcphT2PIWh\nSHFYEiI8/ZIqJOXowZQ1mmQibfCApM+XUuZL+o+Svl5rvb1nT/IKkpQeXAneo5QxPFrqn5yUFJZk\noERfLin9+1LSOVLCmCl5qAmS8j1S8shS3kcvZaKJDV+U9MVSyhKNjd66vpRynKSvaQzQPTAjT9gD\ncRVpAmsk5YCOFJbDvfQp77OfcmNSDGwblHk3kpI6kHLGEgBpCjhPORuEpIRkjxQTt/8/vkXSH0v6\n41LKmyT9raTfk5Rh8aYh7samHPJ+YvOI3Cm3Xx3RbyrFA03JRUtpuZISZkoAC1KODksB1wnnNOVd\npDheKU31U/Rgk0wK4kopr5b0Sxpj435B0j9I+lc9e6IZEBdZpzSXJCSlmjLB20lRXimSEk4lJAXE\npTxHivOWIgO292eSAloIm5BSnXqkxm69XWPA7R0am9rwdUn/otb6ZM+eZobE3ViC5SAKGwhJ6eNF\niLsvxxxzjP0MKYPWU5iWlLNBSEq4PYXlSGCvpJzCBvd99NNdSQljpgMwQiayOJ/WGHD77VrrIzP0\nPDMiCVVEKTRvP+VQJCjBlN5GKWukVB8SkgKuU4oj+onN6xcmLuEZkiQFxB0RJq7W+vM9+68eYXFz\np1LaBKSweSmKOEFSQrIpyjwF4Kf04Eq5KwkOj5Rz1hMc8xSnKcURTUixoaSXejCj0dgMy9NPP219\nntiQ4447zl4jRVLyH376058e8WcgJEURp3ix/RTyT3kOQno5SmimJQG4JDwD9RwJoFjKcbx62dO1\nlSDO3VgiJ84FHJJ07LHH2mukhN2I9/HUU09ZnyeANQHwn3nmGXuNJ5/0U1eJc57CWqf0dkzIvZJy\n3gchKTosIScuBVj3y55Qz9FLgqCVIM41LCksR8oBTVnDBYIpoMUN90s5ScEpYcyEPoTUGiksRwq4\nTjGyCaG7lE4BKWxeP63RJK0EcS7TkeKR99MaBIBylU+K4iHexbPPPmuvkTIbMyWckTLmLqUtUAqo\nJe5LAuuTUmxCSMrZSADWUm8Z0gytNMPi9nlLuSgpoRlCiSY0+yWegXifbs6m5IeWpZzJEcR9S2kf\nk9IYm3BEU5pjE0LcW4JBdyWFHU1hWFMA/oCJg8VlGFK8DIIpSQFgAxD3M0lRGgnshMSc85SilaOP\nPtpeY+BEvlxSAENCjmBKy6iU9lcpZ6OXAL91IG54eFhLly498PdHHnlEjzzyymyDl+KppIT/Hnvs\nMevzp556qv0MKWEqArQQiidl/BcBfFLCyyljyFLyyFLYTTcnl9hXwklIGedISIp9m45OnzdvnubP\nnz/p77UOxK1atUobNmw40o8R0z8roaBAYioy3ctGgJaUxOIUlpbYV2KNE044wV6DCMkSIUjijKWE\nmQgh9oUQF/ykpB6k5H6mnK8jRZZs27ZN27Ztm/T3MnZrhsW9bIS3008XJaWayVWCxPdI6WmWAs6f\neOIJe43HH3/cXoMwkK973evsNYh7nwIEE3o7SjkFSe6dS2GvUkKyhFNNnC83wiMxOcpNkoEkZlgS\nLhth7FM88n7x6glFnqJ4iOcgwNPDDz9sr0GABSJlgmB8iHufUmCRkhuc0kDZ3dsUFi1lFm1K0UtK\njmCTtBLEJYQyU/rEpeTGJCTzp4RTCSGURspoOCJfkgCkRHNt4n0QaxBgMoWpTWGO3DVSKksJIfQ5\nce+J8/XQQw/ZawyYOFhSEL4rKYAhJXTnXvqURG2ixUhKLhqhiIn3kcI8Ee/j0UcftdcgAGlKGDOl\nqtw9YylFUSkNulNyclPSbJqklSDOvSwppc8ptDfxPog8H/d9pOxJyjg1AnAQrBFRlJCSvpDiQBKs\nc4qzQUjCeLiUXMeU6mfijBJrECwawQg2SStBnIvwE0J/Uk4CfEofHRd0EKCFkBT2ipi/SihAwtAf\nf/zx9hopeYaE7iAAA7G3RM4kAfKJ9+HmTBLPkJIfmBIlSpgEJDFzuZuklSDOZUtSqohSQFxKS4yE\nsVspYYSE5slSTnEEEa4nqlNTQjMEYCDeaUqYO6HpcArzlFJhn1AxLDHvdFDYAIurfIhNTRlplNDk\nMuU5CANLGEciwTml0jZlhBjRFiglZ4l4H4ShTmkxQlQNEwA9IZ2DECISQOgforUHsQYRCSDOeZO0\nEsS5yielLxoBGFLywBL6xKV4bSnD6wnjSIQxifNFhDOI/L6UNhIEqCX0T0pqCnFfCIfFFeJsEGuk\ndD0ghLCRvWxI3UoQ1y89yVLy2RJCEZJvVFIKVvqplxgB4giwkNLLMIWpJQwkwVDs27fPXoN4p4Q+\ndtk84nwlAEkpJ0qUUg0+qE6FJaGwISUBtZ9yF1xJKTYhJCX0R+SzEcqcUKIp7FVKuIsIERHFM0Rh\nQ0Ix0Zw5c+xnIMLCKZXcxF0h2HPi3g9y4mBJ6CdGGKYUQ53SesHd15Q9SSmLJ7x6wjgShv7kk0+2\n1yCKNIjGoYRRIdYgzliKA0gYewJAuZJSYU8IoX+InLjt27fbawxy4mBxwxEp1akp/XxSKiFdBZbS\nwyslrEsYNgI8EYCDYGuIfSGMChHeIcaQpQCGlJxJNzRMGPrXv/719hrEvU+ZzUvowXnz5tlruPbt\nnnvuafxZK0Gca6z7ZcwU9RyE8iHWcC9sCiuZ0oGekIQmqhKTv5VSjHTSSSdFrJHSUJoA6L1MPJ+q\npOhzwr6lNB0mGqcTkQAiraRJWgniElpRpOTVpQCGlNwFV1J69xGghegyTqxBhO1SKsoJpoSQlFQM\nQlJmHrvnI0V3EICW0OcpOcoEiCNSMZqklSAugbEhjEpKWJegrAkw6YaZUgwsAcCIfBIi5EYAMMKo\nEGweYZgIxpl4pyksB3HvU1otuTlxRE5dSig0pU8lcd8IW018lyZpJYhzjWSKV58C4gghFEfC+0jp\nuk4YthNPPNFegwiXEW0oCLBw2mmn2WsQbDEBnogztnv3bnuN0dFRe40FCxbYaxDinjECnPdLaFli\ndEfKbN7B2C1QhoeHdfnllx/4+44dOzQyMtLVGik0bz+1ByEum5t3QBjplD1JCc0QAGzz5s32GkRy\nMuFoEIZp586d9hqEUSHeKbEGwaAnsL0EACMAfsrcU0JS5gxPp1/meeedp/PPP1+S9IEPfKDx91oH\n4latWqXvf//71hpEqIpQPMQBJcATsQahONzGsgSTR6yRoogJ1mj27NkRa6TMoyXuCsGQEuejW+f3\ncLJnzx57DeJ8EGfddQJTQpBE6gERniYcHuJ8bdmyxV5jOtG7TZs26Vvf+takv9c6EEcIwVAQBoEA\nDClVRAlFGilFHoTyItYgwOQpp5xir0Hk5hH5RoShJ3KWCCeSCGNu27bNXoNwZglWMWE8HNF+hsgB\nI94nAQRTekwSvR2JUHmTtBLEud5KSqiKuLCEQSDWIC6b+05TqtwI5UUoHmJPCOmn3JiUOYyzZs2y\n10gpjiDWIAC6C+JSxu0ROd8pxQApbXCI3o5N0koQ53p/KRVAxEUhKHxCARIKzM0VIlgBgh1NaWVB\nMJMEmNy7d6+9BvE+lixZYq9B3Hui5xRxxubOnWuvQQgBXBJYVuKMEoxzQoGYlNNMmnAS3FZLN998\nc+PPWgniXISfUp1KrNFPHpPbwJRQXimDxYm+RMQaKfmShCLeuHGjvUZKc1uCxSeqUwlW8dRTT7XX\nSKiOJ3QgcWcJh5ooBiCcSOK+Eb0uewlIByBuGkLEt1Py2Qgj28u5cN2I64WmgDhCCONIKB5iMgAB\nwAijQuQKEeeDyBEkogkEeCJ0R0rTYRd0EPctJReNuG8pDfFTijSapJUgzg0hpsy2JIQALgQTR+QM\nuF5oShiB8EAJBUjMPSUcHiLhm1DmRPI7kYuWck6JfSEqXIncTSI07DpOKbNTU4qACEnJM3SdpnXr\n1jX+rJUgLoH2TpnYQAAworCBELcSMqVTObGvhOIhzjnBGhEAn1DmxHMQzGRCJaXEsHlnnHGGvUYK\nQHf3NsV5Sym+IRxAQv8QvS4H1amwuACKuGyE10Uo4pRQBEE3b9++3fo8wTwRe0KEIgghQAvhJBAG\ngWh1kuLVE/tC5PkQwCclRE0wR+4axLtIGUGWEgpN6XnXy5GOrQRx7mVLyZ0inoMAk0S1HNFQ0QVx\nBJAkDBuhAAnPj0iSJlha4pwTPc0IIEgAUuLOpvQzJNjvlMbpbliXOBvEviZU6kpMU2tCl6akczRJ\nK0Gca1iIRGsC3ROKJ4U6J9ZwvwtR9UcADqLLOKG8COOYUmlLdPXv5fzDboTYF6IogTBMhANI3LkE\nB44AT4RNIBxAwnkjzheRL5kyuqtJWgniXCE84ZTCBuK7EIecAFBnn3229XnCOBJGiWDziD0hQAvh\nkROtLAghDD0BSIm8OsKoEOApZToA8T7c5yDOV0qPSeJ9Eg4g4cwSupRYo0laCeLcnBKCiSMkZdwV\n4e0Q3p97YYkQN8EoEiCO8ISJ3M+UQevEOU8JDROOF5GrSEhCGFNinA33jKW0BSLWSBkvt2vXLnsN\nt4m81Nvc81aCOPfSE4crQWlIDDNAJEkTAMp9DsIDJYA1AZ5SKm2JaQuEkSbaJhB3lgiZEQaBAAzE\nOU2ZOkNUILr6J6UfInFGiXw2gmElHGLCiXSB8UQpNq0EcW44IqV6hzDUxKVPAT+uEEqUMAaEYSMU\nYMpINiLUTjg8BANGfBfCMBH3PgU8pbQ4cllnYl8TZsBKOQ1yUzpJDFqMwOLSo8QhJzxhQlISz93K\nUslnbIhkbyInjmB8iLypFFaRCP0RjgbBCG7dutVeg3A2CHaBcDbuvvtuew2iaIXQx67jRIDilHxt\nAkwmFLtJTEsfIiLRJK0Eca4XSlw2wjARbAthEAgDSVx6930QCpAI2xF5ZERZPAFaUvo0EbkxxHMM\nDQ3ZaxDngzjrxBkjmEmimptgJpcsWWJ9nnC8CD2a0p+NsE2EE0mAyUF1Kiwuw0DQvMRlIw4GEYog\njD3xTt3vQigvopcYocxT2r4Q+5rSdJgAT8RdIXJQUww1MYaMAIIJa6Q4gMRdSVmDcFYIPbh06VLr\n87fddlvjz1oJ4tzcAyJ3gQiZpXT2T8nzcS89wSim5IKkKFEi5EYkSadU2hJ3JaXAgjgfBKgl9pYA\npC4wJsB5SqUuoc+JPSFSQoh738tZsq0DccPDw7r66qsP/H39+vW67777ulqDUBoEY0N40ynz+hKq\n1FJ6ZxGSMEZIYjzhfhoNR5xzIneTECLPh8inTTnrLmND6HNiDQL4EACfKAZI6b03HTt74YUX6k1v\nepMk6R/+4R8af6/0sgldopRS6gc/+EFrDSKRlgiZEReFGBBMKOKHHnrIXsMtjiA8rhRgTXj1KV3X\nUxrCEkJ8FwLEpYTdHnzwQXsNopjo9NNPt9dw94UI26UURxD3jXB4RkdH7TUSJujs27dPtdbDousM\nzTbD4tLFhIFMaTFCeDtEmwCiOtUFggQ4Jzx6IqybMpuXABzEOSfCTMQahKEmzhjBUBDgiXgfxH1J\naGdBRGeIYgDivhFpJYQDeNppp9lrEPbeJTp++MMfNv6slSDOPaQp9D0hxIUlFCChzBcvXmx9PgXQ\nEiwtAZ5Swpgpc2CJfSGS14n7Rpx1wsgS7yMFxLnMZErqAcHmpTQbJxxRIkeQyIVtklaCOJexIZQG\nIQTwIcIqxPsgwqmuEiUuPGHoTz75ZHsNQvGkjFMjvgvBchBCsFdEiIiQlFSclFFm7nMQ7DkBnojn\nIPKLCSeBaC1EpJUQzkqTtBLEuS80hUVL6SRN5D8QgNRtHEpQ73PnzrXXSKk6Js450UuMyLkknoPI\nVSSq9hYtWmSvQTT5JkAcYdxSwKR7X1IKxFI6JxAh2Tlz5thrEPqnlzm5rQRx7gtN6fFGXFgCCBKM\nDZHLcfHFF1ufJ5QXoXhSSuuJPSHyDFPGKqU0P25D24RuhCiwIAC6yxwR75PQPylrpFT6E89BOE1N\n0koQ53o8BHuV0tuIEAJMEorY3VfCSBOgmAjJEkI02SVyQQi2JuW+EW05Uphvon8fwUymNC521yDA\nAqFHU5wmAggS34V4p72cDZ6BAmZY3Dg5wVAQYTfikBPsE/E+iJw419tJyTFMmRmYkmtEVIcReZsp\ngIMwKsS9J5w3ohCIMNQEiHOdr4T5rVJOcQSxBsFuEnpwEE6FxfUgiU0lDihhEIgLSwAXok+Tm7tA\nXHiC8SGEYIuJXBDCwBKjmQg2jwiJpFS2EyxaSusX4rsQOt11FIgzmtKnkjgbKakHKWP/mqSVIM7d\nlJRGhoRxIxgK4tL38pBPVQhFTigNgr0i9oSokiXOV0qYichjTakaTpm2QJxTAsQRLJgrBONMOG+E\nENEZApASdpZ4p8R9a5JWgji3uishCVbK8TKIRr3E+3AVBwGeCKWR0nePyGdLYXwIIEiwioRxI/TP\njh077DWI+0L0MyR0RwITR5yNlP6QxJ4QQuhjYl/czgcjIyONP2sliHNbURCbumDBAnsNQpkTYV0i\n/4oQlykhLnwKw0qAOMIDJca6EZICJgkDSQCOefPm2WukDK8nGGNCXCaN0MUplbop+bRECkRKr8sm\naSWIcw8poYgJ45aSRE+sQVxYlylJCOlKjDInzigRPiSa7KbkfhL7QhRHEGE3gokjGOOU1BTinbrn\ndOHChfYzEJXtBAAjHHtC/xA6PaXgpHHtnq0cLGeeeab1ecIgEN4OkZNCJEkTYTdCibrvlFA8BOOT\nkk9CKEBijZTxTgSII875vffea69BpFEQFfYE6CD0cUKxCNGYltAdKY16U/LZCMa5lz3vWgni3MuW\nUr1DrEHQzSmJ1u6FTUmQJhQPAZ5SOuETRoVoZZEwJF1inKbly5fbaxCsIqE7iH1JyLsk2iwRYIGI\n8BC6NKU6ldCDBOHSJDMC4kop/1zSv5RUJD0h6aO11rs6P7ta0hclHSXpr2utn+v8++cl/bKk5yRt\nlPSrtdbHOj/7jKRrJL0o6RO11ps6/75C0lclHSPphlrrJw/3PLt377a+D+G1ESOeiOcgvB1CEd9/\n//32Gq6BJIzS+vXr7TWIs0FUhRJePQFqU5KkCdaIAKSEYSKYkpSB7SkVme6d66cJGMQaKRMbCP1D\nMN9NMlNM3CZJV9RaH+uAtn8n6fJSylGSvizpbZJGJP24lPKtWut6STdJ+t1a60ullD+W9BlJny6l\nnCPpvZLOkbRA0vdKKUvrGFy+TtKHa61rSik3lFKurrV+++CHcZUPAXyIWY6EkSW+C3HZzjvvPHsN\nN2RGePSEIiY8YQIsEO+D8EBTQFwK852QeiAxjgJh7AnGhkg8d5+jl139uxHCJoyOjtprEI5GSrNf\nomq4SWYExNVafzTur7dK2p/BeamkDbXWLZJUSvkPkt4paX2t9bsHfeafdv78Tklfr7U+L2lLKWWD\npMtKKVslHV9rXdP5vb+T9C5Jh4A4NxyR0sE5heUglA+hONzvQjCKBHgiFA+xrwTgIJgWYg1CUloL\nEUKwioQTSTizCSP7JN/5SpkIksJspswsTZmH3bh2z1Zulg9LuqHz5wWSxjcZ2yHpssN85hpJX+/8\neb6k1Qd9ZoGk5zt/3i8jnX8/RNwqxpRDTqB74nARjM2mTZvsNVwFRnwPIheEMEoEA0Z400SyNpFA\nT+QbEULsLQF8iEKP+fPn22sQ+UYpTrW7t0TILcVpIt4nEa5PsdV9A+JKKT+nMUD2ls4/TXqDSymf\nlfRcrfVrxDMMDw9r5cqVh/3ZnXfeqbvuumvSNVLo1ZRyciKsQqzhGmqCUSRYNILNI/aVMPQEqE05\nX8T5IAosCOOWUj2Y0s6CcOBcIUK6BAAj9pUQ4jkIJo5wvKZiFy677DJddtnhOCzpk588bHq/pB6C\nuFLKtZI+ojGg9kuSZkv6K0lX11r3a7IRSePHJyzSODatlPKhzmd/YdzvHPyZhZ3PjOhnYdr9/35I\nm+NVq1ZN6/uMl4TQn8QYlZRWJ8T7cJt+EqwAsSfEuyAqGAmjkvI+iL6MBCAlGtMSjgIBWogJFkR+\nH3FOE0A+wRYTgJbo7Ug4gL1kr7oR4q5MBUxu2LBBGzZs6Hrtnr2lWutXJH1FkkopQ5L+XtLKWuv4\np7xN0tJSyhJJOzVWsPD+zmeulvQ7koZrrePf4rckfa2U8gWNhUuXSlpTa62llMdLKZdJWiPpg5K+\ndLhnc72ViUZgTFUIo0J0XSckoVEmIYQCJMBTygQMwlkhWEWi0IP4LoSzQjAlKbmwKSONCOeLANcJ\nrauI8CFxZwkQRzxHgl2RGPa8SWYK6v6epJMlXdfxVp6vtV5aa32hlPIxSd/RWIuRv+lUpkrSn0k6\nWtJ3O5/5Ua312lrrvaWUb0i6V9ILkq6tP7vF12qsxcixGmsxckhRAyGLFy+21yCSWImLQjAlhJEl\n8q/cnBIitEMoHmLsFqE0UnKviDUI9iqlgIfInSKcDWJ0YEovQoKJcwE6AeIIUEzoQQI8EQxYSrPx\nXo7dKimXaKaklFLf/e53W2ukeLGEpDRUJJr9uj3aiAR6AtASuY6E0kipDiPCTLNnz7bXIN4Hce8J\n40ZUYhO2gzinKRXhxN13JWV0IPEuCNaaYM/37Nljr+EypNu3b1et9bCGNiPoPMNC5HK4QihzojiC\nuGwE60MAKFcRp+RxEKCYMI4p/RAJhoIQooJ6165d9hpEbh6xtwRgIBgwAoARlbauXdm5c6f9DCm6\nOCWfjXC8CF3ay8KZjDc9w+JObEiZj0lcWAIwEMqcCBG5uWQEWEiZq0swLSlAkDD0hONGgAXirhDM\nwNDQkL0GsS/EOSUiI0Q6h5sGQbTjSWmeTDDwhG0iwBNhq930qS1btjT+rJUgzgU/hKFOqYQkjNvD\nDz9sr0EoH/eiEM9AMJsEeCK+S4oi7mVScDdCgJZFixZN/kuTCAFaCLaFYK4JkE/cF+Ksu6wzUdCU\nskaKQ0yAOGINQnc0SStBnOsxpcy2TOlblVIB9P+3d+5Bepbneb9ugQDTqAUqRJDQyRIUge1FCB2M\nAanBmZGZxDZTpyi264nxpAc3suse0trTaZL+kWknjeMcWrdxfGybZGrs1o6LHYzjNogagQ4IFCFk\n0HG1gJBkHDv4hHn6x34SH8u+u/vt/ft2r933uWY8Y33ffg/v+xzu+7oPz31nQeTWEBdWCEuYUI4u\nHQoIbw0xBnErtIaqXo5ly5alx3Dp6JE1nIj3IM6byxguOZfEua/hVBiEos2C2KAuuULEbUoief3I\nkSOp3xNlBgivJKGkXRS9S5kSYgyifhZBfAjDi9inhNeZyOslvGgEsmE3wrAn9ApRpoS4UECMQexR\nYoxK4mBkb0ISwpwAsTEIheBQ7VzKC0GXHB8i54mw6okcHSJ/lAinEqSWUG4EeXLxchDzQZBaIlfR\n4dYwUW+T8Bq5dFkhnC2EPCb0G1FxoAmtJHFZIUh4wAjBQwhiImnTpT1KlrhkL7xIjABcsWJFegxC\n0bvk9xF5m8Q+J8YgDECiHA8xBkE6iHNP1Lwjzm3W20tc7iLGcCni7FLrkpBhs6Z3qguyh54gT4Ri\ncrF2CLc34aFwCJMT5IkI/RGGBqFgiedwuRzhUjjUYZ9LjKImLkcQIOY0OwaRluLSPYfQkcQFC8ID\nRsiwfpY1ayWJy7pHiUUlrEeXKvSElUG4rLM1uAiFQqwr8RyEECWMBCJcRhAwYj5cLlgQZ8WlOwmx\nLgTpIHJys6kpLrcxCeJDkGKC+BDpQi7pHI1j921kY2TJD5F34OLNI7wtRAFTQvhkyQ+h2FyutBMh\nEUI5ughA4jkIUkuQfOJ2PCF/XPY64bFx8G66eNGI5yDkD6Fnif7ihNOGCOs2oZUkLgvCaiNAHBSX\nvBZC+GQPm0sYk1CwBCF1aclHeIuJW5DEcxCXVoizQnh9CMVErAtB0AnvdzavjvCAEWO4lGxxuZVO\nRLyyhtf+/fsbv2slicvmthCWMHHYXLx5BGEg8o2ylhvh8SHew+XGHuElIeaUSCx2MbwIku9SqJe4\nHOGSfkDs06w8dimVQhAfwotGGE1EvjaBfnp6K4mbBIgDT5Anl4RvwiNICPPsGC4dMFyK7BJrQswH\n0RJpcHAwPQaxP4genQS5JrxoRH4fQVxcPFhZRU0YXi5dVgid4NIZiTDMifloQitJXPYWELG5CEuF\n8FAQJI5Q1MR8ZOFCfIh1dWnaTCgmYoxFixalxyCID5FXR0QCiLUlPHFEPhtBOojSHNmT+DQsAAAg\nAElEQVT9QXjgCTlK3DomQKwr4QFz9wi2ksRl3e+Esnfx+hAg6okR73LgwIHU7wkBSJQJcJlPwnp0\nCFNJjIeCIBwEiSP2BxEyI0B4nV3ynrJ6waV9oUtfb8JZQuwvwiBesGBBeowmtI7Ebdy4UbfddtvZ\nf+/atUu7du3qaQxiUQkLgRBehPVHCB9Cua1Zsyb1e5dGx0Roh1iT06dPp8cgQhFEzhNRyHnv3r3p\nMVyKsbpc4iH2BwGi+0TWYCFkMbE3CGOFMN4IEufi6JhM6sF1112n1atXS5Luuuuuxr8LlxtoU4WI\nKBs2bEiNQWxQIjmZOLDHjh1Lj5HtWSoxFdOvuOKK1O8JQe7irSHC5ATxIW4/E6SWWBeiDRnh8SHC\nui5FhwlZSuTmOfShJuQ5QQQJ+UPsc+LMEmeFMGaze3RwcFCllFHdm63zxEl5weFyG4qwpon8GsJV\nTBz6rABz8YC5FIR1abtFKBVCIbjUVnMhPgTJJ7wtxP4gCFR2Tol0DmIMIvXApbsJQc6J89bPnO9W\nkrgsXJppEwqSyF04fvx4egyXSuNZEO77o0ePpscgBPHFF1+cHoO46EG8C5GsTXiLif3hEu4ivD7E\nfBCEgfAqZo1ZYj6JBHqXEKQLCGO2kjgY2ZpRRCsPwptHlCtwID4SQ2qzlhuxJkTxUqLKuEshaJcc\nQcLjQxhNhOwg+gwTz0HU3iPIE7E/iHfJ7jHC4CHmk9jnLt0nXLq9EM6SJrSSxBGKxQEuNYEIzwBx\nYLNJ44QVS1htxHwS5R8IQUyE2l32KOGhIIwVl3ZExBhEiJogHURqStZwIuQPMZ/E/nIxvAgCRpzZ\nfqKVJC57qcAlv4YQXkRuDHE5giCkWS+Yy005Ij+QIE+EZ4BQCATBJ/r7Ep5aIkTtkqNDrAuRRkHk\nPRGhzOwYRMi/n43WewERCSDW1aW/OCHTm+Cx4lOMbCiBIGAuCb2EYiIE4JNPPmkxRhbEXBAhWUJJ\nEySOgEsxaWJdCI/PbOqUQMgfgggSMj07BvEMhIOB2BuE98ql/zNxZvtJrltJ4rIuVhdFTYzhEt5Z\nuXJleoys9UdYfoQ1TYRkXco/ECCsWGI+iLNCXI645JJL0mO4tDIjjFmX3Kls2J+YC5dexcRzEOTc\nxVlCkOsmeEjpGQbCM+BSDNFFiBJjZD2sLkKDCLkR3hqCPLmUfyBqPREg8p5cytgQMowI+xPzQRAX\nBxDyh/DEuXQ5IPJpXfqvNqGVJC5rlRO11YiNQQhiQkESG5RQCNn+mISHlSCCxHwS3jyCxPWz8XMv\nIBS9i8FDeOIIck3IH8IgJkKyxD7NEgbCW0x4fFxashHymDizLh1SmtBKEpfd6MTNP0LZEyCEuUtY\nN+ttIap7E+9BdPMg8pUI4UVY9cRZcSlMSxgrxBgEQSfWlggvE/vUoQ0ikc7hkh9IgCD4LlEzYp83\noZVtt5YtW5YawyWvhRDELjWnCOHjEBIhcuIIa9qlYjoxHw4tkSRmPhwS6CWGkBJGDzEGsceImpvz\n589P/Z7Y50QLRIKcE5EAQkcS+dqEPM56FR944IHadqsb2bAbwcxdcoVcbgARgjgrRF0aUBOKzUUQ\nE2SBqFfnkr5AKCZC2RP1swhjlvAYDw0NpccgchWzRjUhA7P9oyUfbzFhNBEgdHUNp8IglGQWRN0q\nwsogFDVRioJQkNkxXBLGifkkvJKEN4+wYgnlRnicCc83cWmFALFPiRCkSzoHcV6y+9TFaCIuARHR\nGSI1hZgP4nJEbbsFI3tYiE3ucKVdYnIGCEJKWMKrVq1K/Z7wohEEjBjD5ZIG4QFz8XwT1jThRSPI\nJEGMif3hkIsmMQZclnQQzgVChhGENhsVkRhPL0Hisp2AJCYy0oRWkrjsgSUUJKFUCAFIbHJCiDok\njRPCi7AeDx8+bPEchNcom7ogMbcPiT1KhCAJY4UAcd4IEkeQDsLLQcjj7HMQBJ/wfBNGArEmLrdT\niXfJru3Ro0cbv2slicsqeyKvhQCRK0RsUEJBEmNkSYdLYUgX7xWxzwlDg5iPEydOpMcgCuQSnm/C\nU0v0PSXCfwQI8kPssay3hfCOEvKHMFZcbqUTOpLQC/08K60kcVlPnEuFcMJTQggvwrtACI5smJtY\nV8ISJogPEc4gvCREKILI3yL2+dKlS9NjEATM5WYpce4JbwthiBJzmoXLRTViDIdKARJDJgndRMiw\nJrSSxGUZPrGohOAhEs+JzUVYTISyz3o5iDACQeIIhUIIUSInxWWfE4qJAPEuDje5JcbocemSQtT+\nzHoECe8okSdNgDhvxFlxKTFCeOCb0Lo6cZs2bSpbtmw5++8dO3Zo586dPY1BCC+CMBAgDhuRs0SE\nRLJE0IWAEV5awqonCD6xrgQhJbqsEArShUwSINaFuMXo0jkiu9cJwkEQQSLC41JqiTASpqut5Nq1\na7Vu3TpJ0tatWxvrxLWOxEVE2bhxY2oMIn+LcPMSVeiJTU50GCCIC5HMnwWhDFzqIxHzSZAWIrxM\neHqJ+SC8m4TRRCh7wiNIkDgX4ytLXFwueRAlWwgv2ljJ/BMFUUOQ2F/ZNIqhoaFa7LcbWcVCKGoi\n0Zo49IRCcBGi2cRzYi6I4qUuHQqIJGnC40wQfMLQIMg1oVRc0hdc9qlLYWuH6IrLjU7C0UEULia8\nioSnt58OhlaSOAfhQyhIl0KqLiVGsonn/azl0wtcGlATXnpCqbgQQYI8EWRh37596TGOHz+eHoPw\n5rn0TiXWJet9IvYXoRMIEPNJyGNiDOIyUtZBcOzYscbvWknisvkxhCeOyCchDgphIYy1wSYK4ip4\ndl2IuSDyphxuyklMHplLYjFBSIm1Jd7lNa95TXoMl9Ad4SkhZAcxH9kxCGOFGGM21VQkdHUtMWKI\nLOkgwm7EJic8isS7LFiwID0G4bG57LLLUr8nDqtLEVUXEEqFEIDEWSH2ObE/iFxYl9xNYn8Qyp4g\n6NkxCCJJwCW0TBgJRHoLEa2qHRvMQCTjEqSFEMSE94nY5MR8ZNeFEF4EASMUCuHpdUj2lnxywIgQ\npEtttazBQz0HQQSJotQOMozw0rqkYhBOCuLcu9TNI/ZXE1pJ4rKhFZcClUSej0tFfULJZokLQZ6I\nHB+CTBIkzqWGF/EcRJI0AaIemUvpFxdCShBBIiSblaWELCbOCmHYEw4GQh679Cgnbus2oZK4SYDI\n4yBAeARdwiqEYsoSBhchSqwJIbxcOpMQoRmXs0KQa+JSFKGYiFAVsbaEgnTIiSOIJCF/XNI5iDVx\nSecg5GDj2H0b2RjZhSUEMeE6J4RXPzdXLyAUU9a7QHiNCDJKkCfC0+tQMkHy6RxB5KIRnjjCq0hc\nWnEgPpJHg3IpL9MJveKSr33y5Mn0GASpJbyKhI4k9mgTWlnsd2BgIDUGoVSI3IVTp06lxyAIA+GZ\nJAhUNiRLkBaHBGknEEraJYGeMLxcwjsuJVcIDykhSx1ySF0IrYsXn5gPwntOXErI5sTt37+/Fvvt\nRnZCs0VlJZ/EYsK7QFhdxLtk6/m4EA4i14iwYolkXMLDSngGjhw5kh6DmA+ithpBWgj5QxizLmU1\nCCMy680j1pUYgzBWiDEI7ygRrSLG6KezrJUkLqusCWFOWAjEZQBCQV555ZXpMYjyDdmD4pI3Rdy2\nW7hwYXoMQvAQ/Q8J78LKlSvTY7h4rwivEaHsCUOBMFiI3Dxir2f1ymy6jUkQMEI3uaQL9bN8jMcb\nTjEccuKITU5UkiaS+QlLmMglywpBl2bJLuEMQogSIHo5EsSYKGpNePGJvCfizBLGrAshJTxHWUVN\nkCdiLog8MpfLEUQkgNCRWezdu7fxu1aSuNOnT6d+71Kp3KVljcutqmyyNkGesntLYrwTRK9QIoGe\n8EwSoVDiOQgFSXitCYJO9G528ZQQBqBDC0NCnhNwaEspMXuD0G+EPO4nWkni5s+fn/o9IQCJMYjD\nRiRJE6R2tvQuJKxpIrRDKDZCiBLzQVjChIIk3oW4jHT48OH0GITsyPYqlpjcPEJ2OJT1IWRxPxut\n9wLivBGpGMRtcOKsELKjCa0kcdlwxOLFi9PPQGxQIieOsFSypFjySHAmnoE48C4lEwgQoVBC0bt0\njiBCkMR5cylP5FKclvAqZj2khPwhwtMEiIsiLu9CIEtqxzLcWknisu1zXOrGEAm9RDI/kStEWG7Z\n+SCINRGW6afV1gsI78RTTz2VHsOlxAhRaoBIPSBkBxFud1GyRN4TESrPetAJTxxhvBH6rZ8dCnoB\nkbbkIo+b0EoSl82dIkKhLrcYiZIHLjkp2bAKceCJUKhD4VGJsaYJ0kLsL4c6YBIT+iNIC+EBczHe\nCFLrcG6JM0tcdnNxUrgUxCdkGBE1a0IrSVzW6iIs8qGhofQYRENuIlS1ZMmS9BhEuCubK0QIL4KA\nEQrFpdsCIbyI+SBudBLeK+I5iPkgvJsu+Z+EHCSeI0vyiTNLJOETRgJhrBDz0c/SHr2AmNMmtK5j\nw6ZNm8qdd9559t979uzRnj17ehqDyMFwcTcT3gXCYiKET/YWI1FbjciXJELcREIvkb9FkBZCALqE\nRFyUCmGwuPRwdSkKm/UYu6QNEGeF8HwTe4NwuBD5kpM592vXrtW6deskSVu3bm3s2NA6EhcRZfPm\nzakxiC4HRIiIsHaIXBCCCBJhgCyZJN6DEDwEeSLGIJSKi7HiAoLEEQSdkD9ETi4RdiPmlDA2smef\nCNsR+pwIcTvMp+TRiUPKpy98/etfr223upH1dBCLSuSzEYqaKHlA5NcQngGHxGKiHAbh2STWhBjD\nIdeReg6C+BCklvAuECFIIiJB3F4mvD4OcpBYV5eLVS4eZ4LEEfnrhEHchFZ64rLep+XLl6efY9Gi\nRekxCMvt6NGj6TGIQ0+0RcpeWCEED+F6d2lZQ4xBEGPCqidC1ES3BYL4ELKDuMRDwOXSCrEu2TGI\ns0KM4WKUE5fuXPrqZud0z5491RPXjTNx5smCUG6EUiGsrlWrVqXHIA4Kceizh82lr6XDTTmJ8fS6\nGIlE2I6YD+I5iNxN4swSRYeJdA5iTgnykwURnibWlfA8ESA88MSZJZwUWU/cWHn7rSRxg4ODqd8T\nSfgObaYkZpMTZJIQHFlPGuHxqQn0L4dLA2oCBFlwuQFNhO5cyBNhVBNh7uwYjz76aPoZCI8isa5E\nXh1xVmZLX92xMHskbA/Ikh+i3QyxqISb16XZOnHYsgSKEF7EmhDz6RIucyDnEjOnRLkUgnAQBZQJ\nJUv01iUUZD/zjXpB9swRnThcyr4QRgKhmwgnBVEEnkh9akIrSVw2D4NQTMQYLr0+icNGhAGyJIwo\nXkooesLTQtQ0IxQ9oWCJ5yDIE0E4iDQKAoTR1M8Cpr3AJfE8u8cIOUoYb4T8Ifa5Sxkc4jmyBH2s\n8lmtJHHZEiFE3hNRZJew3Ih3IcKQhBDNesEI65EgT4TniXgXl9CwS+4VkWhN5D2dPHkyPYbLmSXG\nIEicQ89jIrTsEhUhbukTuokoXUWAcLg0oZUkLntgXUKQBIlzSV4n3M1Z4kIIcoKAEWFdQkmfPn06\nPQYxp8TeWLBgQXoMQjERJI4oy+ESdiOUG1Guiai9l82VJuaCWBOCTBK5ecS7EM/h0iO4Ca0kcdnb\nqS6KibDICcXkQjqy4S7iwBMeMIIIEoYGoRyJHEGXG2bEuSe8Ri7pCy7dXlzCkFk56OIBI0DkkREp\nEAQImd5PtJLEZQtdEnF2gt0T3jyHMILEHNgTJ06kfk/cOnYp9kvkKxGCmNjnBOFwKX5M3IIkjA0i\nz5AodUKQa8IgdiAdhOwgvFfEGIQsJZ7DpasIcWab0EoSl82JIzYGEasnyCQhALMlWySGuGQ9A0R4\nmiDWxJoQ5JxQsMQeddnnBIkjal8R+9SlKwih7IkzRxCGrMHiYiQQBZhdLjYQcpA4s8QYTWglicta\nPC63QgkvB/EuhBVLIDsfhPByaUBNCEAi9Jf1jkoM4SAunBBjuNxKdwlBEgYx4cUnQsPZNAiCcBCy\nmCDFRN4mYby5GNX9rJfZShJ31VVXpX5P1GlySRp3aVBO5MRlD4pLrhHhvicIKZEL4tIPkiCTLvXq\niP3hotxcaqM5lKAhZAchR4m2bi6tA13y2fpZy7CVJC7bL5QgYMSiLlmyJD0GYU0Twjwb4iaeg1DS\n/XSb9wJCORLvcujQofQYhOeJKOlDXPQgCAcRgiTOG6FkidxNlxxlgrhkQVyOcDFWiBxB4lY6YUTW\nYr8wsgeWIE8EiM3l0mOTULJZEJ44gvi4KCVifxFCdGhoKD0GMafEZQBCyRJrSyhq4nY8Ef5zqWeY\nDQ0Ta0KQc+LcE/uc8J4TZJLwkPYz4tVKEpe1qAllT7i9iTEIEJ4BAtk2QERyM3HgiTEIcn7q1Kn0\nGMStLCK/hlCQLmMQHjCC1BL1xIiwP6GoCRmWJZOEkUAYTcQeJYg1od8ImU7sryyJG6vgeStJXBaE\n8CLGcCm26VI/K0s6CAvUpfCxS/0tlyv+RG5MNg1DYuaDGIMgDMQYhCeOiAQ4FKd16TdKRBMITxzh\nvSLmlCCT/exl3UoSl2XWxAYlQhEuG9TlCnaWGLvUWCKsaWKPEuSJeA7CSCAIh0s9MoJwEJ44QskS\n80HsMeLcZj2kLkW+Xdo5EjqSmFMXr3Xj2MTmnUnYtGlTefvb33723zt37tTOnTt7GoMIZ7j0uHNR\nssQY2YNClBkgwkMutdUIbx5xVlxCboSCJIgPsU+JkD2xPwgvGgGHXrJEVMRlTYjncIlWEUbTZGTY\n2rVrz3aX2rp1q0opo05I60hcRJQbb7wxNQZhPRI3XAmFQCgmwmNDWH/ZMJNLBwyXIpdEwU5iTglC\n2s86Tb3Apbcl4cUnyDUBwhB1kIMEsSbSUog96lAySmLOCiFLswR9165djSTOQ7JNMbKKhdgYRHjH\nJYxJuKwJKzTbTo2wHh0seokh+LOpcDFBWgiyQBQMJvbpkSNH0mMQ5UEI2UFcfCH2WHYMYn8ReoWA\nywUeQlcTe4Po0NSEVpK4LGEg4v0ECEVNuM4JwUF4WwjPURYEAXMpckkQMIIIEiBqvBH7a6xbZlMJ\nFy9r9ka5xFz0IJR9lri4dFsgyCQxn4SeJQgYkb7Qz4hnK0lcVjkRm9wl/8rldqpDrScHQS4x4WnC\nW0OsCTEfLnDJiSPWhUhfcMnNI84tQX6yspRYV2IMQicQpIWQHS4ln/ppzLaSxGWLhxLWI2FlHDt2\nLD0GUR+JsCAJhZAFEQolvJKEF81lTYhQF6GYiLNCEGNiDEJ2EGtLKHviBiJxm5sggtk5JQi+SxiT\nGIPY50SEh3Da9DN/tJUkLts7lWgH4uJuJgq6EgrBgUwStXyIxGJCEBOWsEsrIoIsEErl0ksvTY9B\npC8QSoWYU2KfEqSWID/EGNlbjISnl9BNLqWFCLhEq/pZYqSVJC57YAnF5NLsmNigTz31VHoMIpyx\nfPny1O+J3Jr9+/enxyD21+WXX54egyBxBHkiyEL20ovEtDRatWpVegzicgRBJh1udEqMEUmUkXC4\nHU/MJ7GuxLsQYxBGgkuJoya0ksRlXfiE1UZ4bIgNShx6F2SVPRHGXLhwYXoMwjtKEA7CmiZuZRFk\nklgXIjRDnDeiPBFhvLnkX7kUyc0qakL+EAYgce5dcoMJzyThcCHObBNaSeKyZTWIBSEOrEvOgEPz\neil/A5Eot0LkohFGggsBIxQ9sUeJ5yBC/oTxRuTkErmbhAeM8FAQhIE4+9kUBkJ2EKSY0E0uNzr7\n6QHrBfViA4zshBLJ2gSIUBVRL4qw/lasWJEeIwvCbU4IHiKsSxgaRB4H8S4EISXChwSZJJSsC1y6\nvRAkjii5kj37Djf0JebcEzrSpTc4sS61ThyMbGiFsKYPHTqUHoMgHYSFQBw2orl41lNC9MYklBKR\nQE8QfIIIErlGRFiFyIkjPM5EvTriXYh1yV4Qk5jLRC4lRrLeJ0KOulxKIN7FpQ4qsb+Id2lCK0kc\n4X3KgrAQCGtn6dKl6TEIIkjkgWUFMaFgiTACEdohcsAIIkiEIImzcuWVV6bHIC6LEGQhWyJJYgwW\nojzIdPWlHAkiJy57XlzSKAjSQnitCTnoUuuS6G7ShFaSuCVLlqR+TwhA4lICIUSJ+llE4VCHVlMu\nTdIJbx6xR10K07rUenIpZUF4BIkz61KolzC+iOhKlpASZIE4K4R3lCBgs6XvqdTfOnHRz3YQjoiI\ncsMNN6TGcEn8JIQo8RwEYSCUfVa5EUKDCGcQVhshNIh8NpeSBy4J38RzEJcSCNJCgJBhDgaglH8X\nYp+7eL5dzr1L39PsfNx7770qpYyqoKbEExcR75D0y5JC0nck/aNSyiOd7zZL+oikcyT9QSnl34/4\n7T+T9BuS5pdSTnc++6CkOyX9WNL7Sin3dD5fI+lTki6QdHcp5f2jPU/WWiGEqIvXhyDxRFiXmI8s\nESTq7rkoJYIUE95il/Y7xNoSpJYg1wTJd1FuxB5zueGaLWdB5G8R4WmCCLrUvCM8gi690pswVeHU\ng5JuKaV8u0Pafl/Shog4R9LvSXqjpOOSHoqIL5ZSHpOkiFgs6aclnU1ii4hrJN0h6RpJiyTdGxFX\nlmFt8VFJ7ymlPBgRd0fE5lLKV0Y+THaTEt4rIgfMpdgmYdUT+VfZYr9EeNpF8BBeRaLkgQsBIwpS\nu/SjJUC8C3Fmib1OyEEimpA9L8R7EN5iIvWACHETIGS6S+29JkwJiSulfKPrn9slnSl0tE7SE6WU\nw5IUEX8s6S2SHut8/2ENe/C+0PX7t0j6o1LKjyQdjognJK2PiCOS5pVSHuz83WckvVXSK0hcVpAS\nOQOEYiIsJuLQuzTkzhIGF4VCgDA0XLw1xFkhQBBBglwTHhvizBL7g7gBfeLEifQYxHnJRnhcuhwQ\nnieXmooEOXcxVpowHRrnPZLu7vz/RZK6M+sHJa2XpIh4i6TBUsojIwTfQkkPjPjNIkk/6vz/Mzje\n+fwVyApjgpkTHhsid4E4sAQBI8JM2bItxHu4XM8n9iihEIh3IYQ5QTjWrVuXHoPYH4QXnyA+RFiX\n8AgSMozwGGeJMXEpgQAhiwnyRKwJYTS53HBtwpSSuIj42xrOZXtD56NRJXxEvErShzQcSj37MfUc\n2TpLhHIjitsuXrw4PQahIAkySSi3ZcuWTfszEGTBJQTpkqPz7LPPpscg+o0S+4OYD5dq+ESBXGJO\nicgIIcOyc+oSWSHgkoNKPAdx3rIXZ8Zqo9g3EhcR75X0ixomardJWiDpY5I2l1LOnP7jkrqZyGIN\ne9NWSFomaU+HSV8haWdErB/lN1d0fnNcL4Vpz3z+Cra2ceNGvelNbxr1mbdt26b7779/3HcjwipE\nmGnlypXpMYhLCS7FELPkh7iU4FIhnPD0unjiiDGIUjpEH0ZCMbmUXiDCTMR5IfKeCDJJFOnOgpgL\ngrQQxJqQxy5ycCL5kuvXr9f69etH/W7Xrl2Nv5uSEiMRsUTSn0l6Zynlga7Pz5X0uKRbJQ1JelDS\nz5+52ND1d4ckrSmlnO5cbPhDDefTLZJ0r6SVpZQSEdslva8zzv+W9DsjLzZERLn11ltT70Nsrmee\neSY9hsstNUKYEwoyK0RdCqAS4SFCeBHr6pJoTYQgCe85UTCYID6EB54IhRIgvJsEMc7KUpcWZAQn\nIM4sIQddQqHZMXbs2DG9JUYk/RtJF0v6aOew/KiUsq6U8kJE/JKkP9VwiZGPjyRwHZzdVaWUfRHx\nPyTtk/SCpPeWl3bdezVcYuRVGi4x8opLDVJeoBMkjvDEEcSHuIFIHBRiTrOEgSC0RHNywitJJIy7\n1P8jQCQWHz58OD0GsbYuvZuJ9l+E0UMQY4IwZOUHEfoj9hfheSLkOUFqCUcHMR/9NHhaWew327Fh\nwYIF6edwidUTVj2Ry0FYwlnrjxA8RA1Bl5IJhAB0KVPiUMxVkhYtGvWuVU8gEuBd5tTFY0PMh0MB\nZUKfEx54lzqohPFGnPusMbtt27Zp98RZIUvCXC4DEMKcSPgmbnUSeYbZsAqxJoTwcrmlRig2QhAT\nij5ruEmM95wwvAj546LcCMJAzKkD6SDkDwEiFYPwPBGGPQFif/UTrSRxDvXECIuJ8LYQIA49kfCd\nLTDp0m+U8IARa0KQc5fq7wSZdGnvRKwtcfOYUG6EonbpgpGdD0KvEEV2CaOJCIUS60o8B4F+3hpu\nJYnLEijiaj1hqRCWG1Evijj0BGEgFGQWDo20JSbERORcEvlbBOEgwrrEDVdCURMhWWJtiX1KKGqC\n1BI3S7PvQshzQgYSuok4s8RZcYmazfiODW7ICh+HJFiJ2RiENU1YGUQtsCxhcGljRoTtCLi0/yLI\ngsu6EErWJc+QABGRIEgHsbZZIuhCOFw8YC4lRghDNJsT9/DDDzd+10oSl92khNAgLGGXgorEDUSC\nCGbXlVCwhEeRyIkjQn/EuhI5Ty6XEojnIIwVgoC51KtziUg4XGwg9oZD+zCJ2V+EUU2EyYk0m+qJ\ng5Gt7E+UbyAED2FlEIKY8NgsXLgwPUYWhIfD5UYn4b0i1tWldyohRF1yUAn5Qyh7whAlQBgshLGR\nJYIuzgGX8iAuFz2IyBsRXm5CK0lctq4QcVBc2qMQrnNC+Lg0bM+CINbEXBClToh3ITwcRD0yoiyQ\nSyV7glwTCpIgtcQeI9BPJTtREDqB8J67dIwhyBPhpCAM834S0lbWibvqqqtSYxBC1OUGIuE6Jw4b\nQQSz3idCSRPr6lJCgrjpRigEwtPiMh+Eh5TYY4SnhJhTgjzNlk4HhC4mZAdBzgny5FCfTWL2RpbE\nDQ4O1jpx3chaw8SiEoSBqK1GHDZCuRH16rKhO5c2UwRpIfYXsc8JQexS2oMIYxJz6nJ70AUu/Z+z\nitqlRR2Rz0bsUYKcE0YTQa4Jg6cJrSRxWbi0qrrsssvSYxCbi3gOIvyXPfSE4NSZE3YAABcUSURB\nVCHKPxAhbpcuGgRpIYS5Sz0ygtQS70IQUpeWakTJJ4cwJJEO4lL1wCUkS+gVB0J64MCBxu9aSeIc\nrtcTB4UQ5keOHEmPQYR3iMOWtboIAUhYsUTOJeGJI0gLkQtCWMKEl8OlcDHRK5Qw3gjy5NIlhZgP\nIt8xC5deoS43XAmjiUA/c+BbmROXDd0RLlpic7l44giLiRgjK8CIuSAsUCJMToSGXRqtEyDyNk+d\nOpUegygYTIRCCdlBKHsXEHowazi5GE0u3mKXIs6E0ydrAB48eLDmxHXjta99ber3hAXqkgBPkA7C\nc0QQqKx3k3CbuySdE+9CEB+HMLnkU1uNMAAHBwfTYxCEdOnSpekxiP1ByA6HUKZL83qXxvNENMGh\ndIyUn9ODBw82ftdKT9xNN9003Y9hUwPHQXhJjLs5e9iIEABRF40ItbvcUiPkC2HVE2vrUvyYWFsC\nxJwSxgYxBoHsujz99NPpZyCMBKIuI+HNI96FyF936EO9d+/e6onrxtGjR1O/JzYoQXwI4eWi3Ih3\nyYYjiANPVF13adZOkAWXqv4EmSTCyy5lJIgxiIgEsdeJPUZ4e7NhbkIWE84B4tKLSy4aAZeORE1o\nJYlbvnx56vdEztIzzzyTHoPw+hChUKJ8AzGGQziDsNqIUAQRCiXmgwgvE4qeIC1EWIXIZyOUPeFt\ncbk17NJ1JjunLi2zXFr2OdTukxgjMvsuTz75ZON3rQunbtq0qbzrXe86++/du3eP2Vx2NLi08Bka\nGkqPQYR3iLIaxI27rOAgrFgiBEDkCRHCnCA+RO6VS9FPl1pzBOFw6WBByB9ibQmZnn2XEydOpJ+B\n2KOEYU/MJyGPiRvl05UjuHbtWq1bt06StHXr1sZwautIXESUN7zhDakxiARnwtohQncEmSQIGCE4\nstYO4fImzhMR1iUEILHPCc8TsUcJzxOxtsS6uPSSJRSkQ9I4hWw6ByF/CK8kQQQJYu2Sc0nIsKx+\n++pXv1pz4rpBkJ8siLAbUZeIUNSEBXn48OH0GNkDS4QgiTIBRJiKeBciFEqAUNKzqR/tvn370mMQ\ne4yQPwQxJp6DUPZZDylBWhxKNUmMx9nFECXmlPA4N6GVJG716tWp3xPWDmF1EZucIB0uNYGyYxDK\n4NWvfnV6DAKE0HAJ7xCeXiIJnyiMTezzbIkk6jkIbx4BYo85XDhxuKEvMekLhCwlZJjDukrSyZMn\n02M0oZUkbvv27anfEwKQsISJQ0/kxhAFFQnPUVaAEW5zwqInyDnhNcpei5cYDxihpIk9SoSIXPIu\nXQiDS1s24uxn34VIGyCID/EcxLknboMTeoVIfernbd1WkrhseMalPRMBQqkQVeiJPJ8scSHIgks5\nDBfB42JNE8SHUG4EaSHOLHE5wiUi4VLsNwuCSBLvQTgpiDNLEDCXyzf93F/Tv3OnAStWrEj9nijt\nQWyMbL07iUlOJlznxJxmDwqxJoTQIJQSQUiJvUGE3FxKHhDeTZc9RhB0l4LlhAHoUK/OIaVEYvYo\ncTmLkD+EHCQcLkRUowmtJHHZsgeERU4kjxJWfbaPrMRYkA5FKolnIA6rSyFogjwRoS7ivLmkQDh4\nfCRmTglFTRBSQpY61O9zKV1F6BWX2n2Ep/fAgQPpMYhLK03wkChTjOyhJ5LXCe+VSykKl44NWfc7\n8QyEEHWpNUcQDkJ4uZQpIUgt4TUi5pRQ1ATpIAiYS3eArHPAJWxHyEFiTYgxCDlIlL/KevPGasnW\nShKX3aTE9WkiZ4CwYgkPBQFiTrMKYeHChelncAn9uZAWIhRBkBZCuRFzSnjziDCTS2Nwl0LOxB7L\nKnvCKCfmgvCAEc4BYn+5dNDpp55tJYkjmHUWRPkGwmIilCwhOC655JL0GEuXLk393qUeGVEOg1CO\nhPAiiCBh8BBjECSOqIdIvMvixYvTYxDRBKLEEREyI+Rx9uwTpIW4DECAKMtBRCRcnCX99Ba3smPD\n+vXrU2MQyt7lthxx6F0st6xCIAgtsTeIuXBJOicMDUKIEvucyHck5C2RrO0SkiVInAvJJ+RgFkSI\nm/AaEfKH8BYT556Yj6wc/NKXvlQ7NnTj+PHjqd8T9WuI+mzE5iIEMeHZJKz6bDItoVAI4UUQH0JJ\nE+9CEA4iSdql1AmhZF3q1RH5bMRzEIYToeyz70KEyQnPtwvBd2nJ5pJy1IRWkrirr7469XuXsglE\nwjcBgnQQAoxQ9lkQpIUQPEQCPeFZcLnpRoxBnHvC20sQUpfSCy4tnggDLntuifkkwnYuIW7izBLy\nhzCaak4cDGKTZkEoapfEYuLAEkm9xHxk4VIImiDWxDkh0gaIPepSYoRov0OsC0FICY8N4QEj8mkd\n4GIAEmWnXLq9ECCeg3DaNKGVJC6rFAgLgfCiEVbs0NBQegxCEDvUzyIsLiK07NKTkngXot0VIUQJ\nQ4PwFruQfGKvEx5BIgGeCMk6REaI80boJsJIIIxIlz1KGKLEczRh+jXnNCCrFIiDQtxSI5QKAUIA\nEh0bsp4BwtNCeAUIjyLh2SRCsoQXzSWs4lJB3oW0ECDWhQj7E/XEsqSDMDSIMQhDg3BSuJSfIc5K\nP72KrSRxjz32WOr3hLInNpeLkiUUk0PuAmFxPfnkk+kxCKuN8Oa59MYkzgohRAlPCbHHskVlJZ89\nRsgfFyMyS36I9yCiM4R+I84Kod9cLgERnskmtJLEZWskudyGcvHYECTOoTq3S5sX4sATApBQKsR8\nEPuL8LQQip7wUBCElJAdRIkjwrvpQgSzeoFIPSBkGEEEXW6lE7qaOPf9rN/XShLnAGKTE2MQ+Q8u\nVeizt9QIq41QjkRIlpjPsVq9TBSE14iYD5fOEUQpHeK8ubTscyFgDnUVCflDnHuCnLukDbign5dv\nWlfsd9OmTWXLli1n/71jxw7t3LmzpzFc6sa4eH1c2pJk54NQKA4XNCRG0bvksxEhSKKlGqFkiUR+\nF0VNkFpCdhCE1CG6QoS4XULtxLoS8seldddkxhgYGNB1110nSXr3u9/dWOy3dSQuIsrGjRtTYxBK\nxaXIJSGICTLp0GqKeAYiF4QoBE3AJa+OOCtEGNOl9AuhqAm5T8gflxwuQtlnyQ9BfFwMDeJdiPNG\nwOFiw/333187NnTjkUceSf2eUG5EHR3ioBACkLBUVqxYkR6DED5ZEKSYEMTEHiXGcCELBLl+9tln\n02MQ6QsEySfO/dGjR9NjuKSVOFxWc+lQQJxZl5ZsxN4gclAJvdCEVpK4yy67LPV7Immc8Ay4NPcl\nvC2EhyKrqIl2asR8Ep5eAkRYxeUW9qFDh9JjEIqJ2GME4XBJPCe8rASpJdY2e/YJeU6sCWHwECDS\nBghZ6i7TW0ni+nlTZKIgvEazyVNCCJ+sp4R4D5c8MkLREySOIOfEWSFup7ok4RM5YESrKpeWaoSH\nlAjrZo0NolOCg26TGHJO7I1sJQqJcbhkdfVYdWVbSeLGE2AbNmzQAw880Pg9IbyIzUUoJpcaOAQh\n7XU+BgYGtGfPnrP/dmkzRQhil0LQhOcp4807s8bE/nK5UEB4Sgj5Q+TmEeTpwgsv1Lp16/Tggw9O\negwH8uPSvYIAYfCMFoJcs2ZNTxcRCWOWGKOfaCWJG2+D3XTTTdq1a1fj98eOHUs/A+HlWLJkSXoM\nIlRFWEyEcuv1sF177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