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Last active March 16, 2016 00:22
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A FRETBursts notebooks implementing the 2CDE method.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example - 2CDE Method\n",
"\n",
"*This notebook is part of smFRET burst analysis software [FRETBursts](http://tritemio.github.io/FRETBursts/).*\n",
"\n",
"> This notebook implements the 2CDE method from [Tomov 2012](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Load Data"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" - Optimized (cython) burst search loaded.\n",
" - Optimized (cython) photon counting loaded.\n",
"--------------------------------------------------------------\n",
" You are running FRETBursts (version 0.5.3+83.gcf8b3c2).\n",
"\n",
" If you use this software please cite the following paper:\n",
"\n",
" FRETBursts: Open Source Burst Analysis Toolkit for Confocal Single-Molecule FRET.\n",
" Ingargiola et al. (2016). http://dx.doi.org/10.1101/039198 \n",
"\n",
"--------------------------------------------------------------\n"
]
}
],
"source": [
"from fretbursts import *\n",
"from fretbursts.phtools import phrates\n",
"sns = init_notebook()"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import fretbursts as fb"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"URL: http://files.figshare.com/2182601/0023uLRpitc_NTP_20dT_0.5GndCl.hdf5\n",
"File: 0023uLRpitc_NTP_20dT_0.5GndCl.hdf5\n",
" \n",
"File already on disk: /Users/anto/src/FRETBursts/notebooks/data/0023uLRpitc_NTP_20dT_0.5GndCl.hdf5 \n",
"Delete it to re-download.\n"
]
}
],
"source": [
"url = 'http://files.figshare.com/2182601/0023uLRpitc_NTP_20dT_0.5GndCl.hdf5'\n",
"download_file(url, save_dir='./data')"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"filename = \"data/0023uLRpitc_NTP_20dT_0.5GndCl.hdf5\""
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"#donor: 721537 #acceptor: 1537985 \n",
"\n",
" - Calculating BG rates ... [DONE]\n",
" - Performing burst search (verbose=False) ...[DONE]\n",
" - Calculating burst periods ...[DONE]\n",
" - Counting D and A ph and calculating FRET ... \n",
" - Applying background correction.\n",
" - Applying leakage correction.\n",
" - Applying direct excitation correction.\n",
" [DONE Counting D/A]\n"
]
}
],
"source": [
"d = loader.photon_hdf5(filename)\n",
"#bpl.plot_alternation_hist(d)\n",
"loader.alex_apply_period(d)\n",
"d.calc_bg(fun=bg.exp_fit, time_s=20, tail_min_us='auto', F_bg=1.7)\n",
"d.burst_search()"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x11aeca470>"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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CZGQzli5dzltvvcubb87DZEonLy+Pf/zjKR55ZCpLlnzJoEF38Pbb86sdm3A+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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11aeca4a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ds1 = d.select_bursts(select_bursts.size, th1=30)\n",
"ds = ds1.select_bursts(select_bursts.naa, th1=30)\n",
"\n",
"alex_jointplot(ds)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"ph = d.ph_times_m[0]"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"8000.000000000001"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tau = 100e-6/d.clk_p\n",
"tau"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# KDE considerations\n",
"\n",
"For start, let's compute the instantaneous photon-rate via KDE on synthetic timestamps. We compare different kernels: laplace distribution (i.e. exponential), Gaussian and rectangular."
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"tau = 1000"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x11e3af630>"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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wxWQX+l+uGBduS3gb+ID8M8THSX+F68Gp2yAmG7uh8N0ujVHDy9WL1u+0pCx8\nWeHPzd8SHmMO82MKN/5pFJU0nYug5uQ2kFQ4prGDRnuy3ucdw04ev0/uJ7v1GaSb/AVlVQGfJXDG\n+r00+hDmhHRICP++E3Btd5F+hvPNm8m/F90Ge89QDwwaZjTYAg3Cv+cfw9JMNtyn1S+fwcEPkfsL\njt1S3pdN48YvBTm1fqeRwxbNkUL1W5GkM9bvbaYMjlr9J5fTSAQCAbJPr9/A7haHMNdLZ9spr7ls\nLtL1RWdef7HG2qLbIDobZ975Lv/YpdH7mRG3s8j700x23KfEQVIhpHXym/HQKft3eF934MFH4bId\n09iRdYcLHbtUiUL1m7zX/rSksy+mcHkDoQCZuqI9Lba23Yu5nplTj+Iuh4t0o4M4p4JODq+bSQd2\nx7cs36RFq4JGAX1I5eiRXLwOV8E5SKOGYyNP/qJIw25luE7M30eryrWyJiICXVws0dFm4uML3/mP\nijKh0xWdRDAuzkpsbOFlrVZDkWX1em2RzwQwm/VFljWZdGdc1mDQFlnWajWccdkzrWtEhLHIsg5H\nyXounQtJLaZ/wMKFC1m+fDkff/wxALt37+bRRx9l2bJlBcu8+OKLNGvWjCFDhgAwffp09u7dy4MP\nPsjNN99cMP4ToEOHDixevLjQ3c2uXbvy6aef0qRJE9LS0ujfvz8bNmwo9j2nCzkcZGdf/F0PLyWq\nquIKucjwZ2IL2HAEHeQEc3AEHTiCuYV+9sgePCEPPqXoSe18tIprQe+k3uglPTqNDoOkx+3T8uYi\nF4cyJEZdH8vAdjHoJT16jR69pEMradFImvAXGiRJKvhe1mRVRlZlQkqIkBoipMr8k+rhqVmZhNQQ\nr90WRZMaWkJKkFDeskredxnllN8VNJIGnaRDL+nQawzoNOGfdRo9ckjD2EUe1uwKcmX9CN4clECC\n1YBG0qCVtHkt2FK5lFlVVWRVJqgGWbfXzXNzM/EFgzzTJ5KuzfXIaoigGkJWwt9DaoiQEkLJK6+s\nypgsWnJd3nB5NfpC8dZpTsZWr9FzwgbPzcnlQDrc3iGKZ3rGYDXqyjXO+WXene7l+bkZ7Drhp09r\nA0/0ikCjDcdfzot/fnkLYlsQZwVFDd/b0Gv0RcqeH2u9pMftk3jpGyd/HlDo1MjC2NsSSIrUl2uZ\nIVy/M5x+Xvw2k9/2uGnXQMtLAyKJtoR7KOTX6/zvQTVYEOP8em2yaPB65ELlzY/vqbFWZR3vLHHz\n/eYAlyUYkTYqAAAgAElEQVSbeGdwAo2SDYX267KmqioKCi5/gHd+zGbOxlzqV4PXbo2idoJUsI+f\n3N/D9fz0GCuEv2sl7Wmxzo9x+LsOHTPW+Jiw3ENSpIGxtyVyVUNzuZYZQFEVAnKQyWscfPyTjWir\nyssDI2lVV0dIDRYpc/7P+bGWVRmzVYfL5S9St/N/N2j0BfV7xT8B/rfQhQYdL/aNpX/bCHQaXbke\nxxRVIaSG+GGrk5cXZCIrMk/3tnJjS2Pefpx3zFZO7tf5MZZVOS/G/37s1ks60rIl/vNNLocyYXjn\nWB69MQa9Vluhx+6gHOKLX3OYuMpOQpTK/wZHUTdBKjh25+/Ppx+7zVYtDufZj92+gIaX57nYcUxh\neOc4Hrg+Br1Gf/I8Xc7n6FPLfPJcLRecp/ZleHlxbhbuYJDn+kTQrLaWoBokoAQKvr5N/Y59rn0l\nXgcNGqw6K1G6SKL0UeEvXRSR+kiidJHE6GOIN8YTb4gnwRBPjCEGrVT8bOnlIS7OUrWuu81mJG3F\nb/fylph4bpNCnq9ik0+bzcbNN9/MnDlzqFmzJq+//joGg4Fnn322YJkVK1YwYcIEvvrqKxRFYdiw\nYTz00ENcd911DBgwgNGjR3PDDTewbNkyJk2axLx5hW/ln5p8Auf0ntMpioLNVnnH/l2sXEEnR91H\nSXUfJdVzjAxvOhm+dDK9GWT4MvDJZx6HpZW0RBtiiDHEEGWIxqqLwKKzYNFasOisWHQWzDoLFp0F\nk9aETtKhk3RM/dXP0q1Bhl0dzZCrYtFJOrSa8AlYI2loXqsROfaiCWyOR+HOTzPYdDDAg90ieal/\nTInGH5W1xX95eHiaDbNB4puHk2hZp2RjAM9EUVQ+WJbL20sc1IjRMn5Y/DnPMFraAiGVt5c4+OTn\nXKpHa5l6fwJX1D37rIini4+3ntf+7PIpPPV1Nt/96aFBko5P7oqnfYNz/38XSlZUvljl5PWFOWgk\niVcHxnB354gyvXgKyirv/eDgg2W5xFs1vDU4jj6tzeWWkKiqysLNHl74xo7NpfB4jyie6xN93vvd\n+cRaVVW+Xu/mxbl2FBX+e3M0w6+NRHcOM42Wlg37fDw+M5sDGSEGtLPw7h1xJRr3dz5W7vTy8DQb\nWS6F0V0jeaZ39HlNcnOh9qUHeXxGNr8f8NMhxcik4fEkn+P49Hznu09vTw0warKN3WlBbm5j4fVb\nY6kWXX4XfplOmRfm2Fn0l6dgVtPLa5be8fp0uV6Fh6bZWLbNS8cUI+OGxVMn/vy2cWnJyJV5cqaN\nn/7x0bmxkQnDE/710VD5ziXObr/CiC+yWLHDx92dIxg7KPacZgsubyt2eLnvyywkYPqoxLOeT0NK\niOOeY8iqUtB4vC/dxxNfZxIfBa/fGoXFFMIn+/CGvOHvsgef7MMX8uKVvbhDbnIDDnKDuQXfz3Z9\npZG0xBvjSTAlkmSqRg1LTWpaa1HDUpMalpokmBLRSGV/fDjffVqonCok+QRYtWoV77//PqFQiMaN\nGzN27FjWr1/PypUree211wD47LPPWLJkCcFgkH79+vHQQw8B4cemvPTSS+Tk5BAREcHYsWOpX79+\noc/v1q0b48ePL0g+z+U9pxPJ54XJ8dvZ79zH/ty9HHQe4JjnKMfcR3EEcgotp5N0JJqSSDQnkWRK\nItFUjSRzEgmmRKINscTkJZxW3flfeL/3o4O3vncwsL2FT4fFn/H9xR3s3P7wyfuHLV5uaG7i83sS\niDRfHI+xVVWVD5flMnaxg5QkHTNHJ57z4zbO18qdXh6aGr5QHXFdBP+9OaZcL1T/ORbgsRk2th0N\nhmclHhJPUtT5XTSW9KT23SY3z82xk+NRuKOjlf/0iynzC9YN+3y8OM/OtqNB2tYzMO7u+DM+966s\nrN/r4+GvbBzNlrm+qYmxg2LLrG7l25MW5JXv7Pz8j496CTo+GhrHVSVs6ChJrPelB3lwqo2/jwRo\nXkvPW4PjyryxId0h8/aSHGascxNr0fDGoFhuaWspt2Q/yynz5Mxslm7zUjNWy2u3xtK7Vdk2Nrh8\nCuN+yeXTX5yoqsqzfWIY3bVkyX5J4uwNKLzyXQ6Tf3URZZZ4oU8Mw66JKNPGhqCsMn2ti7e/d5Dt\nVrjvugj+0y+mzBsYINyAOO4XJ299n4NRL/HawFju6Gg9rxmEL4Sqqnz3Z7hBKcej8OgN4Qal89ne\n5xrnQEjl8Rk25v3h4aqGRr68L4GEc0xwy5qqqny52sVL39qpEaNlxuhEmtY4/4aHH7d4uHdSFi1r\nG5j/WNJ516GAHMAZzCUnYCfLl0WWPxObL4ssX2b4y59JmicNV6hwt3a9xkANSw3qWOvRICqF+pEp\nNIhMobqlRqneMRXJZ9VQYclnZVDVks9l2zwYdRLXNTGd98VHpi+THfZt7HbsZH/uPvY795HtP9mv\nXa8xUNNSk1rWOtSy1qKWtQ41rbWoaalFnDG+TFrUpq918dTX2XRpamLGqEQMujOX6d8OdooSvuP2\n/tJcGiTpmHBvAq1K8e5iSWQ5ZR6dbuOX7T6ubWLiixEJxFjK9kImyynzwjd2Fm72UDNWy39vjuGW\ntpYyvYixu2Xe+t7B1N9cmPQSrwwo+d2/CzmppTtkXl1gZ+7vHiJMEiO7RDKyS2SpX9j8fdjPh8ty\n+WGLlyizxDO9ohlxXfnehcvn9it8sDSXz5bnoqpwe0crj/WIpm5C6d45OZwVYtzPucxY50IjwX1d\nInmuTzQWQ8nrc0ljLSsqU391Mfb7HHK9Kje1MPN0r+hS7U0AYHPJfLHKyWfLnXgCKgPaWXh1YOx5\nN6iUBlVVWbLFy0vz7KTaZdrWN/BMr2iub3r+54HieAIKs9a7ef9HB5lOhasbGXn79jgaJZe8UeNC\n9uk/Dvh5bk42/xwLkpKk48me0dzS1lKq+1pIVlnyd/j50fvSQzSpruetwbElblS5ENuOhp8juTst\nSNv6Bt4cFFfm57EdqQFe/i6HVTt9NEjS8dHQeDqknH+Dzvn2ZPh0uZPXFuRQI0bLp/fE07FhxfTW\nyZfrVXhipo3Ff3lpU9fAtAcSL6gBc8ZaF09+nc21TUzMHJWIUV/654fcQC7HPcdI9RzjuCeV4+5U\nUj3HOOQ8WCgxNWqM1IusT6Ooy2gS04ymMc2oE1HvvBPSdXt9PD4jm4kP1OCKGv++vFC5ieSzGFUp\n+Vyx3cvtn4YHTD/VM4pne0ef9cJDVmX2Ofbwj30r23P+YYf9HzJ8JwdrxxsTSIlqREpkQ1KiGpIS\n1YhallpoNeXX3Wfe724e/spGqzoGvn20+NbBcz2xLf7Lw5MzbXgCKs/3jeHBbpEV0g135U4vj07P\nJiNX5rEbw7Eqz+Tk+789vDzfzhGbTOu6Bp64KYobm5tLNQm1u2UmrXIyaaUTh1elX2sLLw+IoVZc\nyetQabSobjro55Xvcti4349ZLzGog5XbO1ppU89Q4gt1b0Bh2TYv09e6+G23H70W7rwqguf6RF8U\nrfZ704K8vcTBor88aCW4qaWZoVdH0KWJqcQxD8kq6/b6mbbGyZK/vSgq9Gtt4cWbo6mfeOF3WC80\n1ukOmQ+XOZi+1kUgBNc0NjL06gh6tbKU+EJPVVW2HAkwY52bbza68QVVOqQYefmWGNrWL7/u3Gfj\n9it8ttzJhBW5OLwqzWvpuevqCAa2txJ1Ab099qcHmbPRzbQ1LuxuhUbVdIy5JYYbm1/4HdYLjXNI\nVpm5zsWHy3JJtcvUidcytFMEd1wVcUHJQbpD5ts/3Hy52snRbJnESA3P943hjo7WCmlIyucPqkxY\n6eT9Hx14gyp9rjDzeI/oEj+u6Wz2pgUZ/0susze40Wvhga5RPNkzqsQNSiWJ84odXh6aZsPuVnis\nRxRP94qukG646/f6eHRGNoezQozsEsGY/rGlkix+tMzB/xY56Nfawuf3xpdbvVJVlSxfJgec+zno\n3M+BvK9DroMoavgRZWathctimtA0+nKuiG9N89hWmHVnf37r7wf8DPokA09A5YaWVmY+EF8uZREq\njkg+i1FVkk9PQOHa10+Q5VRoVlPPpoMBnuoZxXN9YoDwweao+wibszax2baJv22bC1q+TFozTWKa\ncnlMc5rFtKBpTDNijLHF/bsyl594XlZdz/zHkoiPKP4i4nxObMeyQzw41caG/X5a1tbzzh1xtD6P\ncYcXItMp89I8O/M3eUiK0vDpsASubVIxLbq+oMqkVU4+XubA4VVpWE3HPddEcHMba4kv2lRVZfOh\nAF+vdzN/kxu3X6V9AwPP94nhmssuvJyl2Z1nwz4fH/+Uy/IdPlQVGiTp6H65mWsuM9KuvrHYOicr\nKoezQqzb6+e33T6W7/CS61WJMEkM7RTB6G6R5/xs1vK083iAcT/nsvgvL76gSlKUhu6Xm+nWzMwV\ndQ3UitOeNZlQVZXjOTIb9/tZt9fPD1s8ZDkVDDoY2M7KqG6RJeqCdjalFesTOSE+/cXJ7A0uHF6V\nKLNElyZmul9uol0DI/UTdcU2QNlcMn8c8LN+n58ftng5nBVCkqBHczOjukVyVUNjuXWxPVe5XoUv\nVjn5ao2L4zkyJr3E1Y2MdL/cTIeGRhon68/aiwTC3Wr/PBRgwz4fP/3jZdvR8Oyx7RsYGN0tip4t\nzaXWaFdacfYHVWZtcDF5tYtdJ4JoJGjfwMgNzU1c3chEkxr6YocZ+IMqW44G2Ljfz/LtXtbv86Oq\n0LCajlFdo7jtSgvmC7iTX9pO5IR49wcHsze4CcpwbRMTQ66y0rOVBVMJEyN/UGX5Di+z1rtZts2L\nJEH/NhZevDnmgseZljTO6Q6Zx2fYWL7DR9Maet4cVH53nR0ehVcX5DB9rYs4q4b37oyj9xWlN8un\nqqqMmZ/DhBVO+rW28Nm98RU6xtUn+9jr2M3OnO3scuxkZ8520r1pQHi+jiYxzbgirg2t49vSPLYF\nBm34uumvw35u/TgDk16ibX0jS7d6WfB4UoXNLSGUD5F8FqOqJJ+vL8zh459ymTQ8nptaWrh3UibL\nd+Zy5w37qVX/L37P3ECmLwMAq85Kq7jWtEloR8u4K6gf0aBc72j+m9kbXDw+I/ucE084/xObrKhM\nXh3umuf2q9zewcqTPUu/O2I+l09h0ion43/JJdercnfn8JjLsu5me67rNmu9mwkrczlik9FIcFVD\nI9dcZqJTIyOX1zScdYysoqgczZbZdizAr7t8rNzpK7g4v76piYdviOLqRqV3cV4WY0lS7SG+/cPN\ngj89/HPs5CMa4qwa6ifpiDZriDBqCCoqLp9CllPhYGYIXzB8eDTrJa5ubOS2K630aGm+oK6m5SXH\no/Dt726WbPGwYZ+fUN6TrKLMEnUTdMRZtUSZJUIKBIIqaQ6ZI7YQTl+4zBoJOjY00r+thT5XWMrk\n7m5px9obUPj+by+LNnv4bbcPT+Bk/Ool6kiI0BBt0aCo4XFnNpfC4awQ2e6Tj/lqXktP/7ZWbm5j\nKbNjRWmSFZWVO3zM+8PNyp0+7Hll0WnCjS0JkVpireH6Ggip5HgUjthk0h1ywWfUTdDRv42Fm9ta\naF6r9Lt4lnacVVVl08EAcza6+eUfL8dzwmWRJKgbryMpSktchAadJlxml1/lqC1Eql1GybviSYjU\n0Le1hf5tLHRIMZbb2MqSOJYd4rPluczZ6CbXqxJpkrjmMhNdmppoW89Io2T9WZPRoKxyICOU16Dk\n45ft4UY0s15icEcro7pGlto48QuJs6qqzFjn5vWFOdjdCgPaWXimV3SZjaH3BVUmr3by0U+52N0K\nt7YPd6kvi+OcqqqM+TaHCSud9GxlZuK9CWXSBbekMn2ZbLFt5m/bZv7K/pMTnuMAmLQm2ia0J0G5\nknHzG6GV4/ju8SQSI7Vc8780os0Sq/5TvcQNIcLFTySfxagKyeeO1ADd30zjuiYmvhoVy/ITP/Hb\nid/YkL4RVeMHVUOLuJa0S2xP2/j2XBbd5KJKNvOpqsonP+fy+kIHzWvpmfvIuSWeUPITW1pOiJe/\ny+G7P8PdEW/vaGVEl8hSm70w3SEzc52LL1Y5yXIptKlr4JWBsSUaM1PWFEVl434/327ysHSrh4zc\nkxfdCZEaasbqMOsljHoJt1/B4VFItcsFF/EaCVrXM9CjuZlBHazUiC39OlbWExlkOWXW7vGxPTXI\nnrQgh7NCOH0KLp+KTgsRJg2xVg0Nk/Q0StbRrr6RtvWMF9XFwvlyehXW7fOx/ViQ7akBjttlbC6F\nXK+CXidh1EFChJa6CTrqJ+m4soGR9vWNZT5pV1nG2hdU+X2/n23HAmw/FuCwLYTdrWB3K2gkMOok\nYqwa6iboqJcQjvOVKcZzntnzYiQrKn8dDrDlcIDtqQH2Z4TIdinY3OHkzKiTiDRpqBMfjvUVdY10\nTDFSu4xnVi3LOKuqys7jQTYfCpd5z4kgWS6FbLeCLKsYdBIWo0TtOB114nW0qG2gY0MjDZN0F3XC\neSbegMKPW70szGtccZ3SUFQrThtuULJoUBQVb0Aly6VwLDuEnHeYz787fks7K71amUt9IqXSiLPN\nJfPGohxmrgt/zi3tLIzqGkXL2vpSaeC0u2Wmr3UzebWT4zkyzWvpGdM/hi5Nz97dtDSoqsrrC8Oz\nwF/T2MjkkYlEXwQN02eS5j3B37bNbMxYz/r0DQTU8CNV6lqa0LXmNXROvo5dR+swbPxxHu8RxX/6\nxVTwGgtlRSSfxbjUk8+grNLr3XT2pgX56flYFqR/xNJjSzBrLbRP6MihA61ZtrYpXS9LuKhmeT1d\nUFZ5aZ6dyb+6uOYyI1NHJp7Xul7oiW3n8QDvLHGwZIsXVYV29Q0MaGflxhbm8+5ulOtVWL7dy/d/\ne1i61UtQDt8xebZ3ND1alN8jLy6EqoZbxDfs97M3LciBzBBpOTK+oIo3qBJhlIixaKgWraVJdT1N\naujpkGIk1lq2F+diFr2qQ8S6ahBxLn1BOTz84Z9jAXYdD3IoK4TDo+DwKug0YDKEj9/1E/U0SNTR\ntr6RK+oYyrQRrTTjvD89yAfLcvn2DzeyEj6/Du5g5Ybm5vO+U+sJKKzY4eP7vzz8uMWLN6jSpLqe\nx3pElflkfKc6tfG9SXU9M0cnlnnDT0mpanjc8cvfZdGg/h76ddnJP7nrOO5JBeC/V/6XCbPb8dtu\nHz89l1wmPSaEiieSz2Jc6snn2z+kMemvlVzVbhMZ6p8ElADXV+/Ocy3/i0FrQFVV3lri4P0fc2lU\nTcfU+xMvaGbCspDplBn5ZRbr9voZ0M7Cx3fFFzse6UxK68R2OCvEjLUuvl7vItMZbhJuVE1HqzoG\nWtYxUDtOR7VoLRFGCRUIhiA9V+ZEjszO4wH+OhRg27EAQTncktyrlZnh10XSvn7JJ7MRThIXqlWH\niHXVIOJcNZRFnI9lh5i13s2s9S6O2cN38Osl6GhTz8DltQw0SNQRH6Eh1qpFUVVCcvh641i2zL70\nIJsO+tl6NEAgBEYddLvczIjrIuncuOLGcX+3yc0j021EmTVMHJ5A58YX17hJf1Dl2dnZzNrg5soG\nRqbcH37Wq6qqHHIdZOyWV9mXu4cG1mb88VcbkpTO/PhYiwqdpEsoGyL5LMalmHwGZD8bMzewYP9P\n/Jm9Fo02gFlrpmNSJzpVu4Zrk69HrymcYC78081jM7LRaOD9O+Po39ZaQWtf2Mb9fh6YnEWaQ+Y/\n/WJ45IbIcn8Ex5nISnjc0E/bvKzbG+6GmT/G72wkCS5L1tOmnoEbW5i5rompXJ+jWRWIC9WqQ8S6\nahBxrhrKMs6yovL34QDLd3hZtdPHjtRgwXCQ4jSsFu5S36WpiRubl35X45LauN/PfV9mkZkr83yf\naB69Meqi6Aa+Lz3IqClZbD0aZEgnK28NjityoyDTl8niE3P56eDPBU9QiKYxdzbpQfeaPYg1xlXE\nqgtlQCSfxbiUks9DzoN8f3QhP6f+iDPoRFUMeDJb82zn3vRpcA1GbfHjCHekBhj+RRYHMkIMaGfh\nzcFxFTbhjT8Yfu7muF9yibVo+Pze+AsaV1HWFzAhWWVfepATjvBkHG6/ikYCrUaiWrSGGjE66ifq\nLpqT16VKXKhWHSLWVYOIc9VQnnGWFZVDmSGOZIewOcPzE2g0oNeGx3LXidNRN0F30Y6rhPB8EaOn\nZrFmj59OjYx8ODSeehU0yZmqqsxc5+a/8+yoKrw6sPhndcfHW8nMcrLTvoOnf1yC07gWgyULraTl\nqqTO9KzVhysTO1yUc48I504kn8Wo7MmnX/azOm0F3x9ZyD/2rQBcEdeGYOb1zP25OW8PqsndnSPO\n+fPcfoWX5+cwbY2LatFaXr4lhgHtLOXaxWTNHh//+cbOrhNBbmhu4v074y/oeWwgLmCqChHnqkPE\numoQca4aRJzPX0gOjwN99wcHeq3E832jGXFdZLk+jmVPWpBnZ2ezbq+fZjX1TLg3gcuqFz9069RY\np9pDdPnfcZKq76Hn9etYm7ESv+In3pjATbV606/uABJNieVRFKGUieSzGJU1+czx21lw+FsWHpmP\nI5BDtCGGm2r1pletvhw4lsSgcRl0a2Zi5ujEEiWOy7d7eW5ONkdsMlc1NPJS/xjalfFD0venBxm7\nOPyg+1irhjH9Y7jzKmupJL7ixFY1iDhXHSLWVYOIc9Ug4lxyO48HeGx6Nn8fCZCSpOP/bokp88kL\n0x0yH//kYOpvLjQSPHFTNA91jzqnSalOj/X8TW5GTbFxzzUR/N9AIytP/MIPRxezy7EDraSlS/Vu\nDKw3iCYxzcqsPELpE8lnMSpb8nnUdYR5B2ezLPUHAkqAJtHNuLX+YDpXuw6D1kBGrsz1b5xAq5FY\n+Z/kc34UyZl4AwqfLnfy8bJcvEGVLk1NPHZjFJ1K8bmMANtTA3zyUy4L/gxPyX135wie7xNN3AWs\n++nEia1qEHGuOkSsqwYR56pBxPnCyIrK7A1u3liUQ6ZToUVtPQ93j6Jva0upTuZzOCvE5F+dTPvN\nhSeg0qOFmVcGxJzXLMJnivWoKVnM3+Rh8sgE+lxhAWBnzg7mH/qGVSeWI6syzWNbcmfK3XRIvEpM\n0FgJiOSzGJUl+TziOsyMfVNYcfwXVFQ6VevMoPp30jy2ZcFOqCgqt3+aya+7fMx/LIlOjUpnFrR0\nh8yny3OZ+qsLb1AlJUnHnZ0i6N3q/KctP/Uzl271MGu9m82HA2g1MLC9lcd7RNGwDB4MLU5sVYOI\nc9UhYl01iDhXDSLOpcPlU/hytZOJK51kOhWSo7UMbG/h1iutNKtRsued5noVfv7Hy/xNbn7Z7kNV\n4domJp7vE12iHnFninWuV+GGt9LIcsr8/FxyoWvLTF8mCw9/y6LD3+EKOWkc1YShDYfRqdo1aKSL\nd1xuVSeSz2Jc7MnnUdcRpu+bworjPwNwQ82buCPlLupE1C2y7IdLHbyx2MEzvaJ5pnd0qa9LllNm\nzkY3M9a62J8RAsKzwV3dyESrOgYur6WnRoyOhEgN2ryZ11RVJdutkOaQ2ZkaZOvRAOv2+th6NAhA\ntWgtt3ewMuTqiDIdLC9ObFWDiHPVIWJdNYg4Vw0izqXLF1SZ+7ubr9e7+PNgAIDkaC3XNjHRuq6B\npjX0pCTpibVqCs1I6/IpHM0OcSgzxOZDATYd9PP7AT9BGSwGiVuvtHLvtRFcXrPkz+Y8W6y3HQ3Q\n+710UpJ0/PB0NcyGwomlO+hm4eFvmXtoNo5ADg0iU7i38Ug6JV0j7oRehETyWYyLNfnM9mczbc8X\nLDm6CIDuNXswtOE91LLWPuPyv/zjZcjnmXRuZOSbR5IKkr+yoKoqfx0O8NM/Xn7+x8v2Y0GUU2qC\nRgo/wxIgEFIJKYXfn5Kko/vlZrpdbqJzY1O5PN9JnNiqBhHnqkPEumoQca4aRJzLzv70IN//7eHX\nXT42HvATCBX+u8Vw9uu1WrFaOjU20buVmS5NTUUSwpIoLtZfr3Px+MxshnSy8sGQ+DMu4w15WXzk\nO+YcmIk9YOfy2BY8cNlDNI9recHrJpQekXwW42JLPn2yj3kHZzNr/wy8sofrq3fj3sb3nzXphPCz\nlXq8nUasVcOyZy9snGdJuP0KO1KD7DoRJC1HJs0hEwiFq4ZeC0lRWhKjtFxWXU/zWoYKeXyLOLFV\nDSLOVYeIddUg4lw1iDiXD19QZW9a+HrtUGaIHI9MjkdBkiSMOog0aagdp6N2vI6WtfUkx5R+j7R/\ni/Vj023M2uDmzcGxDL/27AmMN+Rh3sE5zD4wE6/soVNSZ0Y2eZC6EfVKfZ2F8yeSz2JcLMmnqqr8\nfHwpX+6eQKYvg2YxzXmw6aM0i21e7PtyvQo3vZPGcbvMkqerXVBXiEuZOLFVDSLOVYeIddUg4lw1\niDhXHf8Wa29AYcBHGfx9JMDM0Yl0bVb8M97t/mxm7p/GosPfoaIyoN4g7m44HKveWtqrLpyHsko+\nxSjfUnLQeYDHNzzIm1teQyfpGNP6dT65asK/Jp5BWWXkl1nsSw/xyV3xIvEUBEEQBEEQKi2zQcPU\n+xOpHq1l5JdZ7D4RLHb5WGMcDzd7ginXfk37xI7MPTiLYb/ezk+pP3IJ3CMTTiOSzwvkk31M2vUZ\n968Zxm7HToY3vp8p135Nl+pd/3XwtKqqPD7DxsqdPp7rE03fNpZyWmtBEARBEARBKBvVorVMH52I\nosKQzzLIyJX/9T01rbV4o907vNHuHUxaE29ueY3HNzzIEdehsl9hodyI5PMCbMhYx/BfhzDrwHTa\nJrTny2tmMLThPRi053b38vWFDub+7mFY5wievCmqjNdWEARBEARBEMrH5TUNTByeQKpdZvC4DBwe\n5d/fBHRMuprJ18xgeOP72e3Yycg1w5i5bxohJfTvbxYueiL5LAFX0MlbW17nP5ueJqgEGdP6dca2\ne4+a1lrn/Bmfr8jlk59z6dnKzJuDY8UU04IgCIIgCMIl5YbmZj4cGsf21CB3fpaB239uCahBa2Ro\nw1C4p0IAACAASURBVHuY1PkrmsZczpd7JjB67Qj2OHaV8RoLZU0kn+fpj8yNjPjtLpal/kCvWn3P\nuYvtqb5Y5WTMtzl0SDHy+T3xZfpIFUEQBEEQBEGoKIM7RDD2tlj+OBDgnolZ+IPnPo6zdkQd3u8w\njscvf4YT3lQeXDeSSbs+I6gUP45UuHiJ5PMceUMePvjnHZ774wkUVeGNdu/wdMsXiNBHnNfnTFrp\n5D9z7XRIMTLrwcRSed6SIAiCIAiCIFysRnSJ5IW+0aze5eOuCZl4Aud2BxTg/9u79/ic6/+P449r\nYzab43LtmiGHWooK5Uy+GdkcRlESSt9KIafksG8Z4WtEzucOUjqgMtNq0oYampC+6KR+qLauTWOz\n8+n6/P7w7fq2zBDXLtv1vN9ubjefz+f9/ni/r6ddu17X5+RmciP0+ntZ2/ltWl/Xhnf+701G7XmC\nk7oWtFxS5XMJvk87d7751p83063uPbzaeT3tzB0vez+r4s7y3Hv/Kzx9PPXyi4iIiEjFN65HdcL6\n1GDnt7k8uOwUGTmXXoAC1PEyM/vO+YxvPolfMk/yVPyjbDn5vu6IW86o+imFYRhsOv4uo/c+SUbB\nWaa3/Df/ajGd6h6Xd3Mgm81g+gdnCH8/jXYqPEVERETExZhMJsYH12Bm/5p88VMe/ZekkJp58bvg\n/nUffRr0Y3WntTTwacjioy/x3P6JnMk77aBRy9WmCugC0vPTeO7AJFZ+u4Sbat7Mmk7ruMv/7sve\nT26BwVOvp7IiNoPeLbzY8LQKTxERERFxTU92rc7CwbX5+pd8erxovehzQEvSwKchyzqsYVDjoSSc\n2svw+GH85/QhB4xWrraLVkGxsbH06dOH4OBgwsLCyM/PP6/N8uXLCQkJoUePHqxdu9a+/vjx4wwa\nNIhevXoxePBgkpKSLtrn8OHD3H///fTr148HH3yQo0ePXukcL9t/Th/iifhHSEjZw0NNHmZh2+X4\neVkuez/WtEIGLEkh8kA2w++uxsuPXadrPEVERETEpQ3u4MP6p+qQmmmj53wrcUdzLnsfld0q80TT\nEcxrsxibUcQzCaPZ8H9v6zTca1yplVBqairh4eGsWbOGmJgYPD09WbVqVbE2cXFx7Nq1iy1bthAZ\nGUl0dDQJCQkATJgwgccee4zo6GiGDBnCpEmTgHMF7YX6PP/884waNYrIyEieeOIJwsLCHDHvEhmG\nwfvHN/BMwmiKbIXMbb2Qx296ikpulS57X7t/yCVojpUDJ/KY2b8mswbU0l1tRUREREQ49xiW6Al+\n1KzqxkMrT7EoJp0i2+UXjq2uu5PVnV6nWc3mrP5uGeEHw8gsyHTAiOVqKLX4jI+Pp2XLlvj7+wMw\ncOBAoqKiirWJjY2ld+/eeHh44OXlRWhoKFFRUVitVhITE+nWrRsAISEhHDt2DKvVSlxcXIl94FwB\nmJGRAUBGRgZeXl5XfdIlySvKY85/ZrL828U0rXEzqzu9zp112lz2fopsBoti0um/JAWTCT4YY+bJ\nrpd3jaiIiIiISEV3S4AHMZMstL+hCrO3pvPA0hSsaYWXvZ/rPOvwUtulDGw8mN3Jn/HU7kf56eyP\nDhixXKlSi8/k5GQslv+dburn50dycvJF21itVpKTkzGbzcXams1m+7aS+gBMnz6dadOm0aVLF154\n4QUmT57892d3iaw5vzF675NsT4yhT4N7WdhuOdd51rns/fyYXEDvBcnM3ppOuxuqEDvFn/Y3ejpg\nxCIiIiIi5V+dau68N8bMv/rUYM+PefxjtpUtB7Iu+/TZSm6VeLLpKGa0iiA9P43Re4fzuXWXg0Yt\nf1ep55OWFLq7u/sltbHZSr59spub2wX75OXlMWXKFJYuXUrHjh3Zt28fY8aM4aOPPqJ69QsfPTSZ\nTPj6epc2lQvaZ93HxD0TySrIYlq7adx3432XvY+cfBvzt6YyJzIVgPlDzYwJqa3TbK+yK8lZyg/l\n7DqUtWtQzq5BObsOR2U9c7APPVvXZOiyJJ54LZUPvspl2aMWGpo9Lms/fX17cnu9Wxi9YzTTDoYx\n8vaRDL91OCaTPpdfC0otPi0WS7Eb/qSkpODn53dem1OnThVrY7FY8Pf3JyUlpVjbP7ZdqM8PP/wA\nQMeO556h2aZNG/z8/Dh69Cjt27e/4DiHLU/k0U5eNAu4vP+cH/2ylYVHXqSmRy0Wtl3OLbWak5qa\ndcn9bTaDqK+ymRmZxi+ni2jXpAovPVSbGy2VSTuTfVljkYvz9fW+rHykfFLOrkNZuwbl7BqUs+tw\nZNaBvrAjzI+XPjrLitiz3PLMTzz+j2qMuac6tbzdL76D/6pGHZa2W8OMr6ay4usVfJvyPRNvew5P\n90s/IzEjx8aquAwqucP44Bp/ZzrlWp061Ryy31JPu+3UqRMHDx4kMTERgE2bNhEUFFSsTVBQEFFR\nUeTl5ZGTk8PWrVsJCgrCYrEQEBDA9u3bAdi2bRv169fHbDZfsE/Dhg1JT0/n8OHDAPz0009YrVYC\nAwNLncQbn6Vz92wrT7z6O4d/Of9uvH9lM2ys+W4F8w9H0LjaDazs+Cq31Gp+0X5/KCwy2Lw/iy7/\ntjL8tVRsBqz5py9bxpu50VL5kvcjIiIiIiL/U9XDjan9ahI7xUKHGz1Z/mkGbaYlMefDNE5lXPpz\nQatVrs6cO1/ivoYPsOO3WMbuHcGpnJSL9kvNLGLuh2ncEZ7EvI/SOWa9/EfByIWZjIucUL1z504W\nLFhAYWEhgYGBREREsHfvXnbs2MHMmTMBWLlyJdHR0RQUFBAaGsqoUaOAc49amTp1Kmlpafj4+BAR\nEUGjRo1K7bNv3z7mzp1LQUEBHh4ejB8/3n4k9EJOpOQR/s5vvL03iyIbtG1ShWGdfQi+zQvvKsXr\n69yiXOZ8PYPPrDvpYO7Ecy1ewKvSpd3UKPFMIe/szeLN3Zn8llaEXw13RnevxtCOPnqEShnQt6qu\nQTm7DmXtGpSza1DOrqOss/7su1wiPkzjwPF8qlSC++70ZmA7b9o1qYLbJV7iFv1LFIuPzKdmlVrM\nuXMBjas3KbbdMAwSfsrjnb1ZbDmYTXa+wZ2NPHgmuAZBzTxd8pRdRx35vGjxWR7YbDZSU7P49XQh\nr3+eyZu7MzmTZaOqh4nuzb3oeosnnW/ypKp3Os/vn8x36d9wf6MHGd50FO6mCx/CLywyOPxrPvE/\n5PHRoWwOnDh3VLV5vcoM61yN+9tUVdFZhvSLzTUoZ9ehrF2DcnYNytl1OCvrhJ/yWBF7lk8O51Bk\ng/q13bnnVi+CbvGi3Q1V8PEs/TP5wd/3M+3guUc4vtAqgkCfVnx5PI/th3P45EgOP6cW4e4G3Zt5\n8VRQNdrfUMUli84/qPgsxR/F5x9y8m18ejSXzfuz+PRoLrkFBh5VrTRpPxv3Kr9zQ+EIWvr0wVzd\nnaoeJtzcoLAI0rJtpGYWcfxUIT9YC/gmsYCsvHMvT0Atd3q3qEq/O6rSqqGHS/9ndBb9YnMNytl1\nKGvXoJxdg3J2Hc7OOjm9iM0Hsti8P5tDP+djGGAywY1+lWhez4MGvpUIqOVOzapuVKlsws1kIivP\nRkauwXdnjrGfcApM6ST+5ynSEjthMkGr6z3o2aIqD7Txxq/GpV9bWpGp+CzFX4vPP8stMNjy7WHW\n/jKFfCOb9G8n8MuJ20vdXyU3aGyuxM11PWjXpAptb6hCs4DKKjidzNlvdlI2lLPrUNauQTm7BuXs\nOq6lrH/PKGLXd7nsP57HoZ/z+TaxgOz80kubGjVOU//OOeD5M+2qPsaYFo9gqVnqPVhdkqOKzwr/\nSn+TfoA3rVOo4uHOS3cupVnvW8nMtZFytoiUs0XkFhjYbGByg9re7tTydsO/pjuV3VVoioiIiIhc\nq66r5k7/1t70b33u0S+GYZCWbePX00Vk5trI+e/nfO8qJnw83ahby53a3vXJKnyFaQfD+CL1Veom\nZTCyxhjcTLqUrixU6OJz129xzP76BWp41GRu64U0qtYYAB9PN3w83Whs1p1pRUREREQqApPJRC1v\n94s+lsWnsg9zWi9gztcz+ODERrIKMnn21im4u1Xo0uiaUGFf4a0/R7LoyDzqezdgbpuF+HlZnD0k\nERERERG5BlR2q8y/WkynaiVvon+JIqswi+dbvICHu4ezh1ahVcjjy+/+31ssPPIiTWvewuL2K1V4\nioiIiIhIMe4md55pPpmBjQcTn7yL5w5MJKcw29nDqtAqXPH55rG1rPluOS1qt2J+m8XU8Kjp7CGJ\niIiIiMg1yGQyMfymkTwe+BQHfv+SifvGklFw1tnDqrAqTPFpGAavfr+atcde5s7r2jC79Xy8KlV1\n9rBEREREROQaZjKZeOiGhxnbbALfpB1l/BdPk5Z3xtnDqpAqRPFpGAarvlvKWz+to725E7PumIun\nu6ezhyUiIiIiIuVE3+v7M+X2qZzI+D+eSXia03mnnT2kCqdCFJ8RX0aw6fi73GX5B9Nb/RsP9yrO\nHpKIiIiIiJQz9wSE8K8W0/g562ee+WIUqbm/O3tIFUqFKD43fL+BoLr3MLXFDCq76fEpIiIiIiLy\n93St253wFjNIzP6VGV9NdfZwKpQK8aiVluaWTLl9Ku6m0p/pIyIiIiIicjF3+d/Nix6LSM6xOnso\nFUqFKD7HtBijwlNERERERK6alr53OHsIFU6FOO22lV8rZw9BRERERERESlEhik8RERERERG5tqn4\nFBEREREREYdT8SkiIiIiIiIOp+JTREREREREHE7Fp4iIiIiIiDicik8RERERERFxOBWfIiIiIiIi\n4nAqPkVERERERMThVHyKiIiIiIiIw6n4FBEREREREYe7aPEZGxtLnz59CA4OJiwsjPz8/PPaLF++\nnJCQEHr06MHatWvt648fP86gQYPo1asXgwcPJikp6aJ9zpw5w7hx47j33nsJDQ0lPj7+SucoIiIi\nIiIiTlZq8Zmamkp4eDhr1qwhJiYGT09PVq1aVaxNXFwcu3btYsuWLURGRhIdHU1CQgIAEyZM4LHH\nHiM6OpohQ4YwadIk4FxBe6E+U6ZM4YYbbmDz5s3Mnz+fZ599lqKiIkfMXURERERERMpIqcVnfHw8\nLVu2xN/fH4CBAwcSFRVVrE1sbCy9e/fGw8MDLy8vQkNDiYqKwmq1kpiYSLdu3QAICQnh2LFjWK1W\n4uLiSuyTnp5OQkICw4cPByAwMJC33nrLEfMWERERERGRMlRq8ZmcnIzFYrEv+/n5kZycfNE2VquV\n5ORkzGZzsbZms9m+raQ+J0+exM/Pj1WrVjFw4EAGDRpEcnIy7u7uVzRJERERERERca5KpW00DOO8\ndX8tBC/UxmazlbhPNze3C/YpLCzk5MmT1K1blw0bNnD06FH7abu+vr4XHKfJZMLX17u0qUgFoJxd\ng3J2HcraNShn16CcXYeylitRavFpsVg4evSofTklJQU/P7/z2pw6dapYG4vFgr+/PykpKcXa/rHt\nQn3MZjNubm707dsXgGbNmlGvXj1++OEH2rdvf8FxGoZBamrWJUxXyjNfX2/l7AKUs+tQ1q5BObsG\n5ew6lLVrqFOnmkP2W+ppt506deLgwYMkJiYCsGnTJoKCgoq1CQoKIioqiry8PHJycti6dStBQUFY\nLBYCAgLYvn07ANu2baN+/fqYzeYL9qlXrx5Nmza1X1d64sQJfv31VwIDAx0xdxERERERESkjJqOk\nc2D/ZOfOnSxYsIDCwkICAwOJiIhg79697Nixg5kzZwKwcuVKoqOjKSgoIDQ0lFGjRgHnHrUydepU\n0tLS8PHxISIigkaNGpXaJykpiWnTpmG1WgEYP348Xbt2LXUSNptN38C4AH3T5hqUs+tQ1q5BObsG\n5ew6lLVrcNSRz4sWn+WBik/XoDc716CcXYeydg3K2TUoZ9ehrF2DU067FREREREREbkaVHyKiIiI\niIiIw6n4FBEREREREYdT8SkiIiIiIiIOp+JTREREREREHE7Fp4iIiIiIiDicik8RERERERFxOBWf\nIiIiIiIi4nAqPkVERERERMThVHyKiIiIiIiIw6n4FBEREREREYdT8SkiIiIiIiIOp+JTRERERERE\nHE7Fp4iIiIiIiDicik8RERERERFxOBWfIiIiIiIi4nAqPkVERERERMThVHyKiIiIiIiIw6n4FBER\nEREREYdT8SkiIiIiIiIOp+JTREREREREHE7Fp4iIiIiIiDicik8RERERERFxOBWfIiIiIiIi4nAq\nPkVERJzggw828dBD/enatQMPPngfkZHvA7BrVxydO7dm48Z37G3379/HXXe1YdOmdwEYPfpJ5s2b\nzerVy+nVK4iQkK7MnBlORkaGU+YiIiJyKS5afMbGxtKnTx+Cg4MJCwsjPz//vDbLly8nJCSEHj16\nsHbtWvv648ePM2jQIHr16sXgwYNJSkq6aJ8/HDlyhNtuu43MzMy/OzcREZFr0uuvv8LixfPp0qUr\nc+cuJCioOwsXvsjGje/QpUtX7r67G6+9tprU1N/Jzs5mzpyZtGp1J/ff/6B9H7Gx29mz53PCwsIZ\nPXo8CQl7mDx5vBNnJSIiUrpKpW1MTU0lPDyc9957D39/f1544QVWrVrFmDFj7G3i4uLYtWsXW7Zs\noaioiKFDh3LLLbfQtm1bJkyYwMiRI+nWrRsff/wxkyZNYv369cTGxl6wD0BmZiYzZsygoKDAsbMX\nEZFy6fXPM3hnb5azh8Gg9t4M61ztsvpkZWWyfv3rDBw4mCefHAVA69ZtKSoq4rXX1tC3732MHz+J\nhx8eyLJli6hWrRqZmZk899z0YvspLCxg4cLl1K7tC0CNGjWZMuUZDh7cT6tWd16V+YmIiFxNpR75\njI+Pp2XLlvj7+wMwcOBAoqKiirWJjY2ld+/eeHh44OXlRWhoKFFRUVitVhITE+nWrRsAISEhHDt2\nDKvVSlxcXIl9/vDcc88xcuTIqz1XERERpzty5DD5+fm0b9+RoqIi+5/27TuSlZXJt98epVatWowb\n9yyffrqNLVs+YNy4Z6lTx1xsP61a3WkvPAE6dOhEpUqV+Prrr8p6SiIiIpek1COfycnJWCwW+7Kf\nnx/JycnntenSpUuxNrt27SI5ORmzufgvSrPZjNVqvWAfgDfeeIO6devyj3/8A8Mw/v7MRESkwhrW\nudplH3G8VqSnp2MYBmPHjjjv95zJZOL3308B0LHjXXh7+5Cfn8edd7Y9bz/XXVfnvL7Vq9cgI+Os\n4wYvIiJyBUotPksq/tzd3S+pjc1mK3Gfbm5uF+xz5MgRPvroI9avX1/qoP/KZDLh6+t9WX2k/FHO\nrkE5uw5Xzdrf/9zRykWLFlG3bt3ztterV48aNbz5978X4e7uhtlsZvHiuaxYscLepnJld3Jzs4q9\nfoZhcPZsOgEBlmvqdXXVnF2NcnYdylquRKnFp8Vi4ejRo/bllJQU/Pz8zmtz6tSpYm0sFgv+/v6k\npKQUa/vHtgv12bp1K2lpadx///32AvWhhx5i4cKFNGnS5ILjNAyD1FTnX/sjjuXr662cXYBydh2u\nmnWDBjdSqVIlTpxIpFWrDvb1e/bE88EHG3n22TAOHDjCO++8w4QJUzCb/Zg4cSzvvPM+99wTDEBB\nQREJCQn88sspqlatCsDnn++kqKiIpk1vv6ZeV1fN2dUoZ9ehrF1DnTqOObuo1Gs+O3XqxMGDB0lM\nTARg06ZNBAUFFWsTFBREVFQUeXl55OTksHXrVoKCgrBYLAQEBLB9+3YAtm3bRv369TGbzRfsExYW\nRkxMDJs3byYyMhKAt99+u9TCU0REpDypUaMmDzzwECtXLmXdulc5eHA/kZHvMWvWNPLy8qhVqzYR\nETNo1uxWQkPvpV27DnTp0pUlS+Zz5swZ+34yMzOZNGkce/bEs3VrJHPnzqJjx840a9bcibMTERG5\nsFKPfPr6+jJr1ixGjBhBYWEhgYGBREREEBcXx44dO5g5cyZdu3bl+++/p3///hQUFBAaGmq/nvOl\nl15i6tSpLF68GB8fH+bNmwdQap8/M5lMDpiyiIiIc40YMRpf3+vYsuV91q17jVq1ahEc3JPHHx/B\nK6+sIjn5NyIi5tvbjx07gSFD7mfBgrnMnDkHgDvuaENg4E3MmPE8Hh5VCA7ubb97roiIyLXIZFSA\nu/rYbDYd/ncBOs3DNShn16Gs/77Ro5+kSpUqzJ+/xNlDuSjl7BqUs+tQ1q7BKafdioiIiIiIiFwN\nKj5FRETKIV2aIiIi5U2p13yKiIjItWfp0tXOHoKIiMhl05FPERERERERcTgVnyIiIiIiIuJwKj5F\nRERERETE4VR8ioiIiIiIiMOp+BQRERERERGHU/EpIiIiIiIiDqfiU0RERERERBxOxaeIiEgFkZ2d\nxezZL/D114ecPRQREZHzqPgUERGpII4fP87HH3+IYdicPRQREZHzqPgUERGpIAzDwGQyOXsYIiIi\nJVLxKSIiUsY6d27NunWv8uijD9G9e2e2bPkAgGPHvmf8+FF0796Znj2DmD37Bc6ePVus79dfH2LM\nmKfo3v0u+vYNZv78OWRnZ/HVVwcYMeKfAIwZ8xSzZ79Q5vMSEREpjYpPERERJ3jzzbWEht7HtGmz\naNu2Az//fIJRo4ZTUFDA9OmzGTduIgcOfMmECaMpKioC4LvvvmXcuBFUqVKFGTNmM2rUOD77bAez\nZk3npptuZvLk5zEMg2eemcywYY87dX4iIiJ/VcnZAxAREblcRZvexRa52dnDwK3fvbjf/+Df6nvH\nHa25994B9uXp05+jWrVqLFy4nMqVKwNw001NGTr0AWJjt3PPPcGsX78Ws9mPOXMW4O7uDoC7uxtr\n174CGDRq1ASAhg0bUbduwJVNTkRE5CrTkU8REREnqF//+mLLX321nzvuaI2bmxtFRUUUFRUREFCP\ngIB67N+fAMDhw1/Tvn1He+EJEBR0D+vXb6RqVe8yHb+IiMjl0pFPEREpd9zvf/BvH3G8VtSqVavY\ncnp6OjEx0Xz88YfF1ptMJurWrWdvU7Nm8X4iIiLlhYpPERGRa4CPjw8dOnRmwICBGEbxbVWrVrW3\nSUtLK7YtLy+XQ4e+4tZbbyuroYqIiPwtOu1WRETkGnD77S05efIEgYFNuemmc3+uv74hr7yyksOH\nvwbg1ltvJyFhD8afqtM9e+J59tkxpKen4+6uX+siInLt0m8pERGRa8CwYY/z448/EBb2LHv3xrN7\n9+c8++wYDh36iqZNbwbg4Yf/SXKylbCwCXzxxR4+/vhDFi2aT/fuwfj718XHpxoACQl7OXnyhBNn\nIyIicj4VnyIiImXMZDJhMpmKrbvxxptYtmwNubk5hIf/i1mzpuHh4cHSpato3PgGAG6+uRkLF67g\n7NmzPP/8JF5+eSU9evRk8uTnAahXrz7duwezcePbLF++uMznJSIiUhqTYfz1ypLyx2azkZqa5exh\niIP5+norZxegnF2HsnYNytk1KGfXoaxdQ5061RyyXx35FBEREREREYe7aPEZGxtLnz59CA4OJiws\njPz8/PPaLF++nJCQEHr06MHatWvt648fP86gQYPo1asXgwcPJikp6aJ99u/fzwMPPEC/fv247777\n2LNnz5XOUURERERERJys1OIzNTWV8PBw1qxZQ0xMDJ6enqxatapYm7i4OHbt2sWWLVuIjIwkOjqa\nhIRzD8OeMGECjz32GNHR0QwZMoRJkyYB5wrakvoUFRUxduxYwsPDiYyMJCIignHjxpGbm+ug6YuI\niIiIiEhZKLX4jI+Pp2XLlvj7+wMwcOBAoqKiirWJjY2ld+/eeHh44OXlRWhoKFFRUVitVhITE+nW\nrRsAISEhHDt2DKvVSlxcXIl98vLymDx5Ms2bNwfgxhtvxDAM0tPTHTF3ERERERERKSOlFp/JyclY\nLBb7sp+fH8nJyRdtY7VaSU5Oxmw2F2trNpvt20rqU7VqVUJDQ+3rly5dSpMmTfDz8/t7sxMRERER\nEZFrQqXSNpZ0I1x3d/dLamOz2Urcp5ub20X3axgGL774Ijt27GDdunWlDVFERERERETKgVKLT4vF\nwtGjR+3LKSkp5x2FtFgsnDp1qlgbi8WCv78/KSkpxdr+se1CfQBycnIYP3482dnZbNy4kerVq190\nEiaTCV9f74u2k/JNObsG5ew6lLVrUM6uQTm7DmUtV6LU4rNTp07MmzePxMREAgIC2LRpE0FBQcXa\nBAUFsXr1agYMGIDNZmPr1q2MGjUKi8VCQEAA27dvp3v37mzbto369etjNpsv2McwDEaMGIGvry/L\nly8/7yjrhRiGoecNuQA9V8o1KGfXoaxdg3J2DcrZdShr1+Co53yWWnz6+voya9YsRowYQWFhIYGB\ngURERBAXF8eOHTuYOXMmXbt25fvvv6d///4UFBQQGhpKly5dAHjppZeYOnUqixcvxsfHh3nz5gFc\nsM/u3btJSEigSZMm9O/fHzj37cr8+fNp0qSJQ14AERERERERcTyTUdIFmOWMzWbTNzAuQN+0uQbl\n7DqUtWtQzq5BObsOZe0aHHXks9S73YqIiIiIiIhcDSo+RURERERExOFUfIqIiIiIiIjDlXrDIRER\nEbn6CgsLWblyKZ9+uo3s7Czat+9Es2bNWbZsEZ9//iVFRUW8+eZaPv10G0lJiVSuXJlmzW7l6afH\n0bjxDQA8/fRwPD09mT9/iX2/H320lYiIGURFbaNWrdqcOXOaRYvmcfDgAbKzs2jc+AaGDXucjh07\nA5CXl8vixS+xZ088Z8+epX79+jzwwEP06hXqlNdFREQqNhWfIiIiZWzOnJns2rWDJ58cSf361xMZ\n+T6rV6/AZDIBsHTpQmJiPmTUqHE0aHA9iYm/8vLLK5k5M5y1a98GsLf9M5PJVGz99OnPk5FxlilT\npuLl5cUHH2ziuecmsn79JurVq8/ChfM4eHA/Y8dOoFat2sTFbWfu3Fn4+9elVas7y+bFEBERVfL+\nQAAADeRJREFUl6HiU0REyp2ok5v5+NcPnT0MQur1JvT6ey+rT2Lir3zyycdMnPgv+vTpB0CbNu14\n5JEHOXHiOABnzpxmxIgx9u23396SzMwMli1bRGZmJj4+Ppf0bx0+/DWPPvqE/Uhns2bNefnlVeTn\n59u3t27dlrvv7gZAixat8Pb2oXLlypc1JxERkUuh4lNERKQMffXVfgC6dLnbvs5kMnH33d1Yu/Zl\nAF54YTYAp0+n8vPPJ/n555Ps3v05AAUFBZf8b7VqdQevvrqKH3/8nnbtOtKuXUeefnqcfXvLlney\nZcv7nDp1ig4dOtK+fSeefHLUFc9RRESkJCo+RUSk3Am9/t7LPuJ4rThzJg2TyUT16jWKra9d29f+\n9yNHDrNgwRyOHfuBqlWr0qTJjVStWvW/Wy/98dwvvDCbdeteJTZ2Ozt2xGIymejQoTNhYeFUr16d\nsWMnUKdOHbZt+4gFC3ZjGHNp2fIOpkyZSt26AVdjuiIiIna6262IiEgZqlOnDoZhkJ6eVmz9mTOn\nAcjOzmLSpHFcd10d3n13M9u27WLFilfo2PGuYu1NJhM2m63Yuuzs7GLL3t4+jBw5lvff/5A33tjA\nsGGP88UXu3n55ZUAVK5cmUceeYy3336fDRsiGT16PN9//y0LF754tactIiKi4lNERKQs3Xrr7ZhM\nJj7/fFex9X8snzx5goyMs9x//4MEBNSzb//ii90A9oLT29ublJSUYvv4z3++sv/9zJnT9O/fm507\nYwFo2LARjz76BDfddDMpKVYKCwsZMuQBNmx4CwB//7o88MBDtG/fiZSU5Ks8axEREZ12KyIiUqYC\nAuoRHNyLJUsWkJubQ4MGDYmOjuLHH3/AZDJx/fUN8fb25vXXX8VmM7DZbMTEfMjeveeKz9zcXAA6\ndOjMvHmzWbNmBa1bt2Xv3ngOHNhv/3dq1apN3boBLFmygJycHCwWfw4dOsi33x4lLCycSpUqccst\nzVi79hU8PKrQqFFjjh37gc8/38nQoY865bUREZGKzWQYxqVfPHKNstlspKZmOXsY4mC+vt7K2QUo\nZ9fhylnn5eWxcuVSYmM/ITc3l86du+Dj48Mnn3xMTMxODhz4khUrlnDy5HGqVatOs2bN6d9/IGPH\njiAsLJyQkN4UFRWxevVyYmKiyc3NpV27DvTo0ZOwsAls2RJDrVq1SUtLY8WKxXz5ZQLp6enUrRvA\ngAED6dev/3/Hkcvq1cv57LOdnD59mjp16tCzZx8efvifJT7K5e9w5ZxdiXJ2HcraNdSpU80h+1Xx\nKeWG3uxcg3J2Ha6adXp6Gvv2fUGHDp3w9v7fI1OmTp1CUlIir776phNHd/W5as6uRjm7DmXtGhxV\nfOq0WxERkTJUpYonCxa8yPbtMdx33wN4eHiwb98XfPbZDsLCwp09PBEREYdR8SkiIlKGPD09WbRo\nBS+/vIKZM6eSn5/P9dc3YurUGXTr1sPZwxMREXEYFZ8iIiJl7KabmjJ//hJnD0NERKRM6VErIiIi\nIiIi4nAqPkVERERERMThVHyKiIiIiIiIw1WI4jNmRqyzh1Dmdi/a7ewhlDnl7BqUs+tQ1q5BObsG\n5ew6lLVciQpRfKaeOOPsIZS59F/SnT2EMqecXYNydh3K2jUoZ9egnF2HspYrUSGKTxEREREREbm2\nqfgUERERERERh1PxKSIiIiIiIg6n4lNEREREREQc7qLFZ2xsLH369CE4OJiwsDDy8/PPa7N8+XJC\nQkLo0aMHa9euta8/fvw4gwYNolevXgwePJikpKTL7vPbb79d6RxFRERERETEyUotPlNTUwkPD2fN\nmjXExMTg6enJqlWrirWJi4tj165dbNmyhcjISKKjo0lISABgwoQJPPbYY0RHRzNkyBAmTZoEnCto\nL7XPxIkTHTFvERERERERKUOlFp/x8fG0bNkSf39/AAYOHEhUVFSxNrGxsfTu3RsPDw+8vLwIDQ0l\nKioKq9VKYmIi3bp1AyAkJIRjx45htVqJi4u77D4iIiIiIiJSfpVafCYnJ2OxWOzLfn5+JCcnX7SN\n1WolOTkZs9lcrK3ZbLZvu9w+IiIiIiIiUn5VKm2jYRjnrXN3d7+kNjabrcR9urm5/a0+pRn6+gOl\nbq+IHnljoLOHUOaUs2tQzq5DWbsG5ewalLPrUNZyJUqt6iwWCykpKfbllJQU/Pz8zmtz6tSpYm0s\nFgv+/v7F+v5529/pIyIiIiIiIuVXqcVnp06dOHjwIImJiQBs2rSJoKCgYm2CgoKIiooiLy+PnJwc\ntm7dSlBQEBaLhYCAALZv3w7Atm3bqF+/Pmaz+W/1ERERERERkfLLZJR0Duyf7Ny5kwULFlBYWEhg\nYCARERHs3buXHTt2MHPmTABWrlxJdHQ0BQUFhIaGMmrUKODcY1OmTp1KWloaPj4+RERE0KhRo7/d\nR0RERERERMqnixafIiIiIiIiIleq9Dv5iIiIiIiIiFwFKj5FRERERETE4cp18RkbG0ufPn0IDg4m\nLCyM/Px8Zw9JLsPGjRvp06cP/fr145///Ce//vorOTk5jB8/np49e9KrVy/27t1rb3+hvEvrI9eO\n9evX069fP6D0zJRz+fXtt98yePBg+vXrx5AhQ/QzXUFFRkbSu3dv+vbty8iRI0lPT1fOFcyUKVN4\n4403gKv/fq3PbteWP2edkpLCU089Rd++fenTpw+vv/66vZ2yLt/+nPMfMjIy6N69O7GxsfZ1ZZKz\nUU79/vvvRocOHYykpCTDMAxj+vTpxuLFi508KrlU33zzjdG1a1fj7NmzhmEYxttvv208/PDDRkRE\nhDFz5kzDMAzj5MmTxl133WVkZGSUmPeSJUsMwzCM2bNnl9hHrh2HDx82OnfubPTr188wjAtnppzL\nr+zsbKNjx45GQkKCYRiG8dZbbxnDhw/Xz3QFc/r0aeOOO+4wUlNTDcP4X1bKuWI4ceKE8eijjxot\nWrQw1q1bZxiGcVWz1We3a0dJWY8cOdJ47bXXDMMwjIyMDOOee+4xvvzyS2VdjpWU8x9Gjx5ttG3b\n1vj0008Nwyi5tnJEzuX2yGd8fDwtW7bE398fgIEDBxIVFeXkUcml8vb2ZtasWVSrVg2A5s2bk5SU\nRFxcHAMGDACgQYMG3HbbbcTGxpaa91/73HrrrcW+xRHnysjIYPr06UyYMMG+TjlXPLt376Zx48a0\nadMGgAEDBjB58mRiY2OVdQVis9mw2WxkZmZiGAbZ2dl4eXnpZ7qC2LBhA/fddx/BwcH2dVfjZ/hS\n+kjZKinrXr162XPz8fGhYcOGJCUlKetyrKSc4dzZaPXq1SMwMNC+rqxyrnTVZlfGkpOTsVgs9mU/\nPz+Sk5OdOCK5HA0aNKBBgwYAFBQUsHDhQkJCQli3bl2xXM1msz3Xv+ZttVoB/V+41j333HOMHDkS\nHx8f+7q/Zqacy78TJ05Qq1YtpkyZwg8//IDFYiEsLExZVzC+vr6MGzeOnj17UrNmTby9vXnnnXf0\n3l1BTJo0CTj3ZdIfrsbPcGl9lLlzlJR1z5497X/fvXs3hw4dIiIigvfee09Zl1Ml5Xz48GFiYmJY\nt24dw4YNs68v6T3ZETmX2yOfRglPiHF3d3fCSORKpKWlMXz4cKpWrcqYMWMoKio6r42bm1upedts\nthL7iPO98cYbmM1munbtWizDC2WmnMuvwsJC4uPjGTZsGB988AGdO3dm7NixJWaqrMuv7777jjff\nfJNPPvmE+Ph4+vfvr5wruKv5fq3PbuXDRx99xMSJE1m6dCm1a9dW1hVIZmYm4eHhzJ0797w8yirn\ncvsub7FYSElJsS+npKTg5+fnxBHJ5Tpx4gQDBw7kxhtvZNmyZVSqVIm6dety6tQpe5uUlBQsFkup\nefv7+5fYR5xv69atJCQk0K9fP6ZOncrx48d58MEHlXMFZDabCQwMpGnTpgD069ePb775Bj8/P2Vd\ngezevZu2bdtSt25dAIYMGcL+/fsvmJlyLv+u5vu1Prtd+5YsWcK8efN47bXX7JdRKOuK4/PPP+fs\n2bM8/fTT9OvXjyNHjhAREcGWLVvKLOdyW3x26tSJgwcPkpiYCMCmTZsICgpy8qjkUp06dYqhQ4cy\ndOhQ/vWvf9nXBwUFsXHjRgB++eUXDh06RMeOHUvMu1u3bqX2EefbtGkTW7duJTIyklmzZtGoUSPe\nffddunbtqpwrmM6dO3PixAmOHTsGwKeffsrNN99M9+7d2bBhA6CsK4JmzZqxb98+zpw5A8Ann3zC\nzTffTFBQkHKuoK7m+7U+u13bli1bxvbt29m0aZP9i0Qo+TO3si6fQkJCiI2NZfPmzURGRtK8eXPC\nwsLo27dvmeVsMko6XlpO7Ny5kwULFlBYWEhgYCARERF4eXk5e1hyCRYuXMhrr73GDTfcYD9k7+Xl\nxauvvsrUqVP5/vvvAXjmmWfo2rUrcOG8s7KyCA8PL7GPXDv27dtHREQEmzdvLjUz5Vx+JSQk8OKL\nL5Kfn4+Pjw+zZ8/GbDYr6wrmrbfeYv369VSpUgVfX1+mTZuGr6+vcq5AwsLCuPnmm3n44Yev+vu1\nPrtdW/7IesCAAbRp0waz2UyNGjUwDAOTycSwYcPo27evsi7n/vwz/WcPP/wwjzzyiL1gLIucy3Xx\nKSIiIiIiIuVDuT3tVkRERERERMoPFZ8iIiIiIiLicCo+RURERERExOFUfIqIiIiIiIjDqfgUERER\nERERh1PxKSIiIiIiIg6n4lNEREREREQc7v8BDeEpuICI63AAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e28d6d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = np.arange(0, 14000, 1000, dtype=np.int64)\n",
"tx = np.arange(0, t.max(), 0.01*(t[1] - t[0]), dtype=np.int64)\n",
"true_rate = (t.size - 1) / t.max()\n",
"\n",
"rate_rect = phrates.kde_rect(t, tau, tx)\n",
"rate_gauss = phrates.kde_gaussian(t, tau, tx)\n",
"rate_laplace = phrates.kde_laplace(t, tau, tx)\n",
"\n",
"fig, ax = plt.subplots(figsize=(17, 4))\n",
"plot(tx, rate_laplace / (2*tau), label='exp')\n",
"plot(tx, rate_rect / tau, label='rect')\n",
"plot(tx, rate_gauss / (2.5*tau), label='gauss')\n",
"plt.axhline(true_rate, ls='--', color='k')\n",
"plt.legend(loc='lower center', fontsize=18)\n",
"sns.distplot(t, rug=True, kde=False, hist=False)"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x11ee5c2e8>"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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aUasPTXnguhxc2VWLmR/WYcPPKWjqQIoLJpKU/JrPZ9bX4fPfXJh6XQ56ntY8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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e1a9a20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = np.arange(0, 14000, 2000, dtype=np.int64)\n",
"tx = np.arange(0, t.max(), 0.01*(t[1] - t[0]), dtype=np.int64)\n",
"true_rate = (t.size - 1) / t.max()\n",
"\n",
"rate_rect = phrates.kde_rect(t, tau, tx)\n",
"rate_gauss = phrates.kde_gaussian(t, tau, tx)\n",
"rate_laplace = phrates.kde_laplace(t, tau, tx)\n",
"\n",
"fig, ax = plt.subplots(figsize=(17, 4))\n",
"plot(tx, rate_laplace / (2*tau), label='exp')\n",
"plot(tx, rate_rect / tau, label='rect')\n",
"plot(tx, rate_gauss / (2.5*tau), label='gauss')\n",
"plt.axhline(true_rate, ls='--', color='k')\n",
"plt.legend(loc='lower center', fontsize=18)\n",
"sns.distplot(t, rug=True, kde=False, hist=False)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x11eec8390>"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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PkXqZzDK7L8Xx89EoIuNkWle25836CubGruOU8RqtbGsxqm53VPWevkCRb97A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Ei5u/9zPiuAo50j4Y0m0K1GL9z9f+SM35sM+/QPSvNiJio+RURE5B8X77Roi9Nuk84ClxTQN6lx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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11f1f44a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tau = 1000\n",
"true_rate = 0.001\n",
"num_times = 14\n",
"time_max = num_times/true_rate\n",
"\n",
"np.random.seed(1)\n",
"t = np.sort(np.random.randint(low=0, high=time_max, size=num_times))\n",
"tx = np.arange(0, time_max, 1/(30*true_rate), dtype=np.int64)\n",
"\n",
"#r, n = phrates.nb.kde_laplace_nph(t, tau, tx)\n",
"rate_rect = phrates.kde_rect(t, tau*5, tx)\n",
"rate_gauss = phrates.kde_gaussian(t, tau, tx)\n",
"rate_laplace = phrates.kde_laplace(t, tau, tx)\n",
"\n",
"fig, ax = plt.subplots(figsize=(17, 4))\n",
"plot(tx, rate_laplace / (2*tau), label='exp')\n",
"plot(tx, rate_rect / (5*tau), label='rect')\n",
"plot(tx, rate_gauss / (2.5*tau), label='gauss')\n",
"plt.axhline(true_rate, ls='--', color='k')\n",
"plt.legend(loc='lower center', fontsize=18)\n",
"sns.distplot(t, rug=True, kde=False, hist=False)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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sb0z0qEVT4zcArq4Qo8ZoHvvQ+TIUmqVu9fOuVzE9vEOP6dsePSF69ITcEKd5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\nE0IIIYSooP4H3MlPjcmMMlIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e276d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tau = 1\n",
"tau2 = 2 * (tau**2)\n",
"\n",
"xx = np.arange(-4*tau, 4*tau, tau/100)\n",
"y1 = np.exp(-np.abs(xx) / tau)\n",
"y2 = np.exp(-xx**2 / tau2)\n",
"\n",
"plt.plot(xx,y1, label=r'$\\exp \\left( - \\frac{|t|}{\\tau} \\right)$')\n",
"plt.plot(xx, y2, label=r'$\\exp \\left( - \\frac{t^2}{2\\tau^2} \\right)$')\n",
"plt.axvline(2*tau, color='k')\n",
"plt.axvline(-2*tau, color='k')\n",
"plt.xlabel('t')\n",
"plt.legend(fontsize=22, bbox_to_anchor=(1.05, 1), loc=2)\n",
"plt.title(r'$\\tau = %d$' % tau, fontsize=22);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Notes on Kernel Shape\n",
"\n",
"The Gaussian kernel gives a more accurate rate estimation with very little dependence on the position where the KDE is evaluated. On the contrary, with symmetric exponential kernel (laplace distribution), there is always a strong dependence on the evaluation position. In particular, when rates are estimated at the timestamps positions, the rates are systematically over-estimated (i.e. the peak is always sampled).\n",
"\n",
"For Gaussian kernel, given a $\\tau$, the rate estimation will be accurate for rates higher than $1/(2\\,\\tau)$ counts-per-second. For lower rates, the estimation will strongly depend on where the KDE is evaluated. A similar condition can be also found for the exponential kernel, but this case the rate will aways be strongly dependent on the position."
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# 2CDE\n",
"\n",
"## KDE and nbKDE definitions\n",
"\n",
"Following Tomov 2012 notation, we define *KDE* as ([Tomov 2012, eq. 4](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n",
"\n",
"$$KDE_{X_i}^Y \\left(t_{(CHX)_i}, t_{\\{CHY\\}} \\right) = \n",
"\\sum_j^{N_{CHY}} \\exp \\left( - \\frac{\\lvert t_{(CHX)_i} - t_{(CHY)_j} \\rvert}{\\tau}\\right) $$\n",
"\n",
"and *nbKDE* as ([Tomov 2012, eq. 5](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n",
"\n",
"$$nbKDE_{X_i}^X \\left(t_{\\{CHX\\}} \\right) = \\left(1 + \\frac{2}{N_{CHX}} \\right) \\cdot\n",
"\\sum_{j, \\;j\\ne i}^{N_{CHX}} \\exp \\left( - \\frac{\\lvert t_{(CHX)_i} - t_{(CHX)_j} \\rvert}{\\tau}\\right) $$\n",
"\n",
"These quantities can be computed for any slice of the timestamp arrays. \n",
"In the implementation of *FRET-2CDE*, they will be compute on slices of\n",
"timestamps corresponding to each burst. \n",
"In this context, $N_{CHX}$, (in the multiplicative correction factor of nbKDE), \n",
"is the number of photons in the current burst (selecting only photons in the $X$ channel).\n",
"\n",
"## FRET-2CDE definition\n",
"\n",
"To compute FRET-2CDE we need to define ([Tomov 2012, eq. 6](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n",
"\n",
"$$(E)_D = \\frac{1}{N_{CHD}} \\sum_{i=1}^{N_{CHD}} \\frac{KDE_{Di}^A}{KDE_{Di}^A + nbKDE_{Di}^D} $$\n",
"\n",
"and the symmetric estimator ([Tomov 2012, eq. 7](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n",
"\n",
"$$(1 - E)_A = \\frac{1}{N_{CHA}} \\sum_{i=1}^{N_{CHA}} \\frac{KDE_{Ai}^D}{KDE_{Ai}^D + nbKDE_{Ai}^A} $$\n",
"\n",
"Then *FRET-2CDE* is defined as ([Tomov 2012, eq. 8](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n",
"\n",
"$$ FRET-2CDE \\left( t_{CHD}, t_{CHA} \\right) = \n",
"110 - 100 \\cdot \\left[ (E)_D + (1 - E)_A \\right]\n",
"$$\n",
"\n",
"These quantities are computed for each burst, so that $N_{CHD}$ ($N_{CHA}$) are\n",
"the number of photons in the DexDem (AemDex) channel during current burst."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## FRET-2CDE Functions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To implement the *FRET-2CDE*, we use the following FRETBursts function:\n",
"\n",
"- `phrates.kde_laplace()` ([documentation](http://fretbursts.readthedocs.org/en/latest/phrates.html#fretbursts.phtools.phrates.kde_laplace))\n",
"\n",
"This function computes the local photon rate using KDE with a [laplace distribution](https://en.wikipedia.org/wiki/Laplace_distribution) kernel. \n",
"FRETBursts provides similar functions to use a Gaussian or rectangular kernel ([kde_gaussian](http://fretbursts.readthedocs.org/en/latest/phrates.html#fretbursts.phtools.phrates.kde_gaussian) and\n",
"[kde_rect](http://fretbursts.readthedocs.org/en/latest/phrates.html#fretbursts.phtools.phrates.kde_rect)\n",
"respectively)."
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def calc_fret_2cde(tau, ph, mask_d, mask_a, bursts):\n",
" \"\"\"\n",
" Compute FRET-2CDE for each burst.\n",
" \n",
" Reference: Tomov et al. BJ (2012) doi:10.1016/j.bpj.2011.11.4025\n",
" \n",
" Arguments:\n",
" tau (scalar): time-constant of the exponential KDE\n",
" ph (1D array): array of all-photons timestamps.\n",
" mask_d (bool array): mask for DexDem photons\n",
" mask_a (bool array): mask for DexAem photons\n",
" bursts (Bursts object): object containing burst data \n",
" (start-stop indexes are relative to `ph`).\n",
" \n",
" Returns:\n",
" FRET_2CDE (1D array): array of FRET_2CDE quantities, one element \n",
" per burst. This array contains NaN in correspondence of bursts \n",
" containing to few photons to compute FRET-2CDE.\n",
" \"\"\"\n",
" # Computing KDE burst-by-burst would cause inaccuracies at the burst edges.\n",
" # Therefore, we first compute KDE on the full timestamps array and then \n",
" # we take slices for each burst.\n",
" # These KDEs are evaluated on all-photons array `ph` (hence the Ti suffix)\n",
" # using D or A photons during D-excitation (argument ph[mask_d] or ph[mask_a]).\n",
" KDE_DTi = phrates.kde_laplace(ph[mask_d], tau, time_axis=ph)\n",
" KDE_ATi = phrates.kde_laplace(ph[mask_a], tau, time_axis=ph)\n",
"\n",
" FRET_2CDE = []\n",
" for ib, burst in enumerate(bursts):\n",
" burst_slice = slice(int(burst.istart), int(burst.istop) + 1) \n",
" if ~mask_d[burst_slice].any() or ~mask_a[burst_slice].any():\n",
" # Either D or A photon stream has no photons in current burst, \n",
" # thus FRET_2CDE cannot be computed. Fill position with NaN.\n",
" FRET_2CDE.append(np.nan)\n",
" continue\n",
" \n",
" # Take slices of KDEs for current burst\n",
" kde_adi = KDE_ATi[burst_slice][mask_d[burst_slice]]\n",
" kde_ddi = KDE_DTi[burst_slice][mask_d[burst_slice]]\n",
" kde_dai = KDE_DTi[burst_slice][mask_a[burst_slice]]\n",
" kde_aai = KDE_ATi[burst_slice][mask_a[burst_slice]]\n",
"\n",
" # nbKDE does not include the \"center\" timestamp which contributes 1.\n",
" # We thus subtract 1 from the precomputed KDEs.\n",
" # The N_CHD (N_CHA) value in the correction factor is the number of \n",
" # timestamps in DexDem (DexAem) stream falling within the current burst.\n",
" N_CHD = mask_d[burst_slice].sum()\n",
" N_CHA = mask_a[burst_slice].sum()\n",
" nbkde_ddi = (1 + 2/N_CHD) * (kde_ddi - 1)\n",
" nbkde_aai = (1 + 2/N_CHA) * (kde_aai - 1)\n",
" \n",
" # N_CHD (N_CHA) in eq. 6 (eq. 7) of (Tomov 2012) is the number of photons\n",
" # in DexDem (DexAem) in current burst. Thus the sum is a mean.\n",
" ED = np.mean(kde_adi / (kde_adi + nbkde_ddi)) # (E)_D\n",
" EA = np.mean(kde_dai / (kde_dai + nbkde_aai)) # (1 - E)_A \n",
" \n",
" # Compute fret_2cde for current burst\n",
" fret_2cde = 110 - 100 * (ED + EA)\n",
" FRET_2CDE.append(fret_2cde)\n",
" return np.array(FRET_2CDE)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def calc_fret_2cde_gauss(tau, ph, mask_d, mask_a, bursts):\n",
" \"\"\"\n",
" Compute a modification of FRET-2CDE using a Gaussian kernel.\n",
" \n",
" Reference: Tomov et al. BJ (2012) doi:10.1016/j.bpj.2011.11.4025\n",
" \n",
" Instead of using the exponential kernel (i.e. laplace distribution)\n",
" of the original paper, here we use a Gaussian kernel.\n",
" Photon density using Gaussian kernel provides a smooth estimate\n",
" regardless of the evaluation time. On the contrary, the \n",
" laplace-distribution kernel has discontinuities in the derivative \n",
" (cuspids) on each time point corresponding to a timestamp.\n",
" Using a Gaussian kernel removes the need of using the heuristic \n",
" correction (pre-factor) of nbKDE.\n",
" \n",
" Arguments:\n",
" tau (scalar): time-constant of the exponential KDE\n",
" ph (1D array): array of all-photons timestamps.\n",
" mask_d (bool array): mask for DexDem photons\n",
" mask_a (bool array): mask for DexAem photons\n",
" bursts (Bursts object): object containing burst data\n",
" \n",
" Returns:\n",
" FRET_2CDE (1D array): array of FRET_2CDE quantities, one element \n",
" per burst. This array contains NaN in correspondence of bursts \n",
" containing to few photons to compute FRET-2CDE.\n",
" \"\"\"\n",
" # Computing KDE burst-by-burst would cause inaccuracies at the edges\n",
" # So, we compute KDE for the full timestamps\n",
" KDE_DTi = phrates.kde_gaussian(ph[mask_d], tau, time_axis=ph)\n",
" KDE_ATi = phrates.kde_gaussian(ph[mask_a], tau, time_axis=ph)\n",
"\n",
" FRET_2CDE = []\n",
" for ib, burst in enumerate(bursts):\n",
" burst_slice = slice(int(burst.istart), int(burst.istop) + 1)\n",
" if ~mask_d[burst_slice].any() or ~mask_a[burst_slice].any():\n",
" # Either D or A photon stream has no photons in current burst, \n",
" # thus FRET_2CDE cannot be computed.\n",
" FRET_2CDE.append(np.nan)\n",
" continue\n",
"\n",
" kde_ddi = KDE_DTi[burst_slice][mask_d[burst_slice]]\n",
" kde_adi = KDE_ATi[burst_slice][mask_d[burst_slice]] \n",
" kde_dai = KDE_DTi[burst_slice][mask_a[burst_slice]]\n",
" kde_aai = KDE_ATi[burst_slice][mask_a[burst_slice]]\n",
" \n",
" ED = np.mean(kde_adi / (kde_adi + kde_ddi)) # (E)_D\n",
" EA = np.mean(kde_dai / (kde_dai + kde_aai)) # (1 - E)_A\n",
"\n",
" fret_2cde = 110 - 100 * (ED + EA)\n",
" FRET_2CDE.append(fret_2cde)\n",
" return np.array(FRET_2CDE)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## FRET-2CDE Results"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"4000"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tau_s = 50e-6\n",
"tau = int(tau_s/d.clk_p)\n",
"tau"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"ph = d.get_ph_times(ph_sel=Ph_sel('all'))\n",
"mask_d = d.get_ph_mask(ph_sel=Ph_sel(Dex='Dem'))\n",
"mask_a = d.get_ph_mask(ph_sel=Ph_sel(Dex='Aem'))\n",
"\n",
"bursts = ds.mburst[0]"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fret_2cde = calc_fret_2cde(tau, ph, mask_d, mask_a, bursts)"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fret_2cde_gauss = calc_fret_2cde_gauss(tau, ph, mask_d, mask_a, bursts)"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(1486, 1486, 1486, array([1486]))"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(fret_2cde), len(fret_2cde_gauss), bursts.num_bursts, ds.num_bursts"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of bursts (removing NaNs/Infs): 833\n"
]
},
{
"data": {
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f6poOp+tJubEsiFvcGuNgbSm4hbAoMJmsJJvMdLlxk5OsVVCMHvhhtxO7VUCM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\nLcICAGDr/wOsyeIINiVatQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1242760f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"valid = np.isfinite(fret_2cde)\n",
"print('Number of bursts (removing NaNs/Infs):', valid.sum())\n",
"g = sns.JointGrid(x=ds.E[0][valid], y=fret_2cde[valid], ratio=3)\n",
"#g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n",
"g = g.plot_joint(sns.kdeplot, cmap='viridis', shade=True, shade_lowest=False, n_levels=20)\n",
"_ = g.ax_marg_x.hist(ds.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n",
"_ = g.ax_marg_y.hist(fret_2cde[valid], bins=40, orientation=\"horizontal\")\n",
"g.ax_joint.set_xlabel('E')\n",
"g.ax_joint.set_ylabel('FRET-2CDE');\n",
"g.ax_joint.set_ylim(0);"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of bursts (removing NaNs/Infs): 1486\n"
]
},
{
"data": {
"image/png": 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JpKQkvPvuu+jWrRv69OmDrVu3Ys6cOTh9+jQOHTqE+fPnKx5LkiRUVFzUrbZQOZ0tWY8C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\n88wIjagVrp6FjXoSIqp6FhS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"text/plain": [
"<matplotlib.figure.Figure at 0x1242e40b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"valid = np.isfinite(fret_2cde_gauss)\n",
"print('Number of bursts (removing NaNs/Infs):', valid.sum())\n",
"g = sns.JointGrid(x=ds.E[0][valid], y=fret_2cde_gauss[valid], ratio=3)\n",
"#g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n",
"g = g.plot_joint(sns.kdeplot, cmap='viridis', shade=True, shade_lowest=False, n_levels=20)\n",
"_ = g.ax_marg_x.hist(ds.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n",
"_ = g.ax_marg_y.hist(fret_2cde_gauss[valid], bins=40, orientation=\"horizontal\")\n",
"g.ax_joint.set_xlabel('E')\n",
"g.ax_joint.set_ylabel('FRET-2CDE (Gaussian KDE)');"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of bursts (removing NaNs/Infs): 833\n"
]
},
{
"data": {
"image/png": 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RBGl1WiZ8/yLnDp2nc7+Otu/Pn7yIqMPRABzeeJTF/13K09NGuypMcQWROwshmiilUlkm\nUQBYLNL0JFxDkoUQQginJFkI0Yx4+niW2W6uRYcuUZDi6giaNemzEKIZeeGLZ1G6qTi45jB3jrmV\nB18f7uqQmo0lb/YmPLyNq8NotiRZCNGMuHm4Me7LMZw/coEOV7dzdTjNSqtWrVGpVK4Oo9mSZigh\nmhmFQiGJQjQ6SRZCCCGckmQhhBDCKUkWQgghnJJkIYQQwilJFkIIIZySZCGEEMIpSRbisrFt4U4O\nbzzq6jCEuCxJUZ5o9iwWC7/932LWfb8JN40b9792D3eNvd3VYYkmJj4+jvDwNlKYV0tyZyGavcjt\nJ/jzyzUUFRSRl5nH79OWkpWS7eqwRBMjix/VjSQL0eyZjWWn7TabzCBrVovyZPGjOpFkIYQQwilJ\nFqLZWf/TZo5sibRtB4T64xvkU2o7ADetuytCE+KyJclCNBtmk5k5/5nHvHcX8PW4Waz7YRMArbu1\n4pXZ42jdtSWd+nXgX7+8jKe31sXRCnF5kdFQotnYs2I/63/cDEBOei5//G85N478Bx6eHnQZ2Jk3\nf38VjZcGrU4ShaiELH5UJ5IsRLNhNpXryDaby/Rj+wf7N3JEojmRxY/qRpqhhBBXBFn8qG4kWYgG\nYTaZWfzdFuKikuvtnEFtg/AJ9LZtB4QGoHZz3S//iZ2n+POrNViqGKYbdeg8f0xfYdt/4VgMiz9e\nhtlsrvR4IZoyaYYS9S4vp4BZU5ZxeOdZdq2PZNSE27jm+q51Pm/nfh14+bsX+fGNufgG+fDiF2NQ\nu7vmI7xp7l8s+u9SctJyiT99kTH/exI3Dzfb/p1/7GHBlEWkJ2QQd/Ii19x5NYum/kFqfBqxJ+J4\n8asx0rcimhW5sxD1bt3CvRzeeRaA1IRMlv20vd7OfdXgrkxa8m/emP8qLVrp6+28NbV0xp9kp+Rg\nMVvY/vsutv62o+z+6StIT8gAYO+f+1kw+XdS49MAOLDmMGu/39joMQtRF3JnIeqdQlF2u76Lqf2D\n/er3hLVgMZd9UeWbopy9ZkX5N0k0uPj4ONv/ZY6ompNkIYS4IjzwRTJ4qiA/gb0fQ7t27V0dUrMi\nzVCi3gWF+eOusbff+5fqlL5cBITZh+l663WEtA8ps98/1H734+mjLVNhrtFpCGxTf/MUpSdm8POk\n+RhyC+rtnJclz1DQhVv/FTUmyULUu8F39eKZN+/GP9Cb6+7owUsfPujqkOrd6/Ne4epbehLSIZh/\nfv08Pa+/qsz+134ez4C7+xLYugXPf/Es7//5FtfeNwB9ywCem/EUg0cMrJc4zuw/x38fncG62RuZ\n+sh0Lp1NqJfzClGeNEOJBnHd7T3penUb/AO9L8v2eW+9N6/98jI56bn4BflW2K/VaXl59otkJWfh\nH2K9Cxn/3fNkJGYSEFp/xYMrvlxN3MmLAJw7EMWfX6/l+U+frrfzC/E3SRaiwQSUanq5HKnUqkoT\nxd+USqUtUYC1U7s+EwVA+TR8OSbmepOfUOrfMJeG0hxJshBCXBkMyWBIZskbPWTaj1pw2Gfx5ptv\n2v6/dOnSMvseeeSROj/5vHnzGD58OAAGg4GJEycydOhQ7r77bnbv3l3n84vqy83K46c355GekO7q\nUGpt/e972bX+WIOd/9C6CJZ/vrLKiu2aij6VwIIvN2A0mmp9joCwANv/lWolga0CHBx9hdP3Bn1v\nmfajlhzeWZw+fdr2/19++YURI0bYtgsLC+v0xJGRkcyaNQu93lpY9dlnn6HX61m9ejWxsbGMHj2a\nVatWodPp6vQ8wrnYk3HMemUO5yOiObX7NM98PJouAzu7OqxqMxnNzP10LVv/PIzaTU1iXDojnrm+\nXptkVn69lmWfr8SQbeDi2USem162Yrum9m46wYKvNpCelE38+RTGvnMfvgFeNT7Pkx89hoeXB9sX\n7uTucXcybNydtY5JCEcc3lmUvoIqfzVVl1/EnJwc3n//fV577TXb9zZv3syDD1pHzYSHh9OzZ082\nbdpU6+cQ1bfm2w2cj4gGIO7URVZ9s87FEdXMiUMX2Lz0ICajmUJDEat/3UV2Rl69nd9YbGTl12vI\nz8zHYrawY9Eudi3dU6dzrvp1F+lJ1nXCj+2NYuOS/bU6j1Kp5LF3HuKjze9LohANqtp9FvV5lTZp\n0iTGjRtX5q4hKSmJkBD7WPXg4GCSkpLq7TmFA828T7RiNXVDPEm5zbo+R7nH1/X3yz/I9VXt4vLm\nMFk0xMiKX375haCgIG6++Wb27t1r+35lM3EqlY7LQBQKBXp9zW/dG0pzjUfjUfZj4O6hbpDX0VDv\nj4+PptzzgL+/J/7VeK7qxGQsNlb4XdDpPOr0WtTqsp9tT0839HqvZvsZahZKRkPl5LiTmekJQNu2\nbaX/opocJovz58/b+ilK/99isXDhwoVaPeGff/5JQUEBw4cPJz8/n+TkZB599FHCwsJISUnBz896\nhZScnEyfPn0cnstisZCWVn/NDXWl13s1+XgykzNZ/PFyHnx9OH5BvuSk5XAm4gIqtRKT0QwK8A3y\nsz3OkGtgwQeLGfr87YS0D673eOqDh5eGFiG+pCZmARAY5k++wYi5Gs9VnZjMJjP6lgFkpVibjXR+\nXhzaHEnfYf0rvaCK3H6CY1tP8Mhb91d5wePbwn5XrfFyx0evIy0tr1l8hlwpsC6zARiSQRPErf8z\ngOJcybQf+TLtRzlVvccKi4OhHfv27XN40gEDBtQpqH379jF16lSWLl3KtGnTMJlMTJo0ibi4OB57\n7DFWrFiBv3/V49LNZnOT+iA3tV+s8vGcPRjFD6/9TOzJeNp0b83QF+5gzaz1XDgWi1+QD8ZiE7c9\nczMP/ns4CoWCi2cS+O6VHzl3MIqQ9sE8+dHj9L6pR73FU5/iziUx+6M/0Xp5MPad+6pd41HdmHLS\nc/nmpdlEH7tAQV4hhfmFDLp3AM9//gzuWnfbcRvnbGHRx8vIScuh7519ePGrZ/H09qxwPmOxiTmf\nrOb4/mhGjr+VATdfVaN4GktTi6cuyUIxdI11uo+/5cay9/0wSRblVPUeO7yz+DsZ5ObmEh0djaen\nJ61bt8bd3d3Rw2pl/PjxvPvuuwwbNgyAyZMnO0wUoubWztpA7Ml4AGKOx7Hok2WkxqYCkJmczdW3\n9uKh1+0j3tb9sJFzB6MASDyfxOpv19UpWTSk1h2DefPL0ajdVLg1wBoX3gE6XvtlPON6vUphnnUk\n4O7l++g+pBs3j77Bdtyqb9eRk5YDwMG1h9ny63bufuGOCudTu6l49j/DyM024O1bMZkI0dQ4/K0y\nGo188MEHLFmyBG9v67QNBoOBUaNG8eqrr9a5T2PAgAG2+g0vLy+mT59ep/OJmlGUu6csPfkfVOyz\naur94FovjwY9v0qtQqms2bvg6HdEoVBIohDNhsMe5OnTp5OWlsamTZvYvXs3u3btYuXKlURHRzNz\n5szGilEIIYSLOUwW27dvZ/r06QQH2zs2W7ZsybRp09iwYUODByfqV3DbQJQq649cqVKibxWAqmQN\na4VSQVB42WmzQ9oHlbnbCAxvUeW5iwqK+fHNuUSV1GvUN4vFwuKPl7FnxX7b9rLPVrJjce0r/TfN\n/Ysln620bW/7bQcrvlztsEK79HvgF+JHWCf7dNcRm45hLDbatn303rQstf/k7tP88vb8Msc4EnM8\njtn//pnC/LoVwIoS+QmQG2v/yk+Q9dBrwGEzlEqlwsOj4q29TqeT4WbN0MP/eQCNTsu62Ru5c+xt\n3PPPu1j93XpWfb2WW5+6ieGvDCtz/F1jb8dD68EfM1Yw+IFBPDrpgUrPmxKbyrcTfuDkrtMcWneE\nke8+VG9TcAMUGYr4bsKP7F6xD42XhvjT8STFpLJryR7cte4kRCXy4OvDq90sajabmT95ERvmbMZs\nNHHuSCyePlrW/7AZY7GRS+cSGPPJk5Wu7/36gol89/KPJMekMGb6k3Tq2wGAtd9vYMn/VpCXmYd/\niB9uWjfGfPIkPYZYO663zN/G7x/9QVZKNhfPJvDil2McTkK4f80h5r77G6mxqcSfvMgLXzxb59Fo\nVzxDctn6loLkepu65UrgMFk4qnOQN7l5unf8UG4efQM6P+vY+aHP3871jwy2bZd38+gbGHBPvyr3\ng/UK/eQu69Qw6ZfSWTdrQ70mi93L97J7uXVkXkFuAau/XU9BrvVquzCvkHWzN3L3i3fg6VO99v/0\nSxmsnb0Bs9F6Vbl57lbUHmqMhdYr/m2/7eTae/tz9S29KjxW5+vFxJ/+iSG3AK9Sz7d21gbyMq2j\nhjISM3l00gO2RAGwbtZG29DbY38dZ/O8bdz/6j1Vxrh21gbb4IMz+8+xYc5mRk8ZWa3XJ6qg711h\nNJRc9Fafw2SRnZ3N5s2bK00MOTk5DRaUaFjl//A7SgTV2V/hir6eizktTrrWa3XZ4uRBjq6FlEpl\nmURR2elKD6cFsJR7CfXZUS5EY3CYLMLCwvjpp58q3RcaKksTCiHElcJhspg7d25jxSGasbBOoWi9\ntRhyDAAEl1pfuriwmHnvLWTgvf0Yck/fWp2/dZeW6FsFkBZvnT7d3VOLm8adnFTr3W1Iu+AazQDr\n6aMlrGMo8aetK8x563UoFAqyC63nC24bSEjboBrFGNw2kJSSZiO/IF9adW1Zdn94IHEnrDUuOn8v\nWnZxvPhOcNsgW9Oeu9adqEPnyc/Jr7TAr7zkmFSWfrqCh94cQUCI1CrZ5CdU2DabQyo/VlSgev/9\n9993dMAff/xBcXGxbUTUJ598QlJSEt26dWuM+ByyWCwYDMWuDsPG09P9ioynTffWhHYIJiriAkMe\nGsSznzyJQqkg/VI6n4/5hj0r9hOx+Sjefl607NaqxucPCPWn26AunDt0HpWnlmx3L9B44u2pptvA\nTkyc80+0Om21z+fm4Ubfu/oQExmH2WgiJzOPgtwC/EP8aNkplJe/H1dmlFN1DLynP8kxKVgsFl74\ncgxXDe5aZn//YX3JSMykIK+Q5z59mmtu613pef7+mfW5vTeFBUUkRSehUiu5dC6JEztO0WlAB3z0\nVVenH99xkpkvfkfkthMc23aCNt1bo29Z+zUumtpn2qsOtTSTv1lnbV8szrV+FSTz7J0dCAjQ12OE\nzV9V77HDZLFo0SJ++OEH7r77blq0sA4ZNBqNfPHFF3h6ero8YUiycKwx42nZOYwbR/6Dfnddg6Kk\nPX7t9xv4a8EOAArzi0iOTeXmJ26s1fn9g/1Q+/mwe1c0SqUSi0KB2s+Hd+f9s0L/QXVodVq6De7C\nii9XYyqyLj5UkFvAmOlP0bl/xxqfT+Wmov/dfRny8HWEtq94tapUKel7Zx+uf3Qwrbq0rOQMVn//\nzBQKBb1u6M6hDUe4dDYRgPSEDFRqFb1v7lnl4xdMWcSpPWcAyE7JxlhspP/Q2t3RlY6nqahTslia\nAwHdQdfK+qXWMvZmX5kpopyq3mOHdRbz589nzpw5dO1qv0q64YYbmD17tjRRiQoqXN3Xc6esm8a9\nTEevQqGw1Y3UhtpNTfm69LpMFaJQKJze4dTkDgisVeM1C8LpN4SoFae/aaUL8v7WsmVLKWYRQogr\niMNkYTabKS6ueAtaXFxc6ffF5Ss3M5dvX/6BC8diAMjPyee7CT8Qdeh8pccXGYo4ufs0Wm/7WhNh\nHe3NM0ajiV+mryFip7XJxGQ08cvbC9i/+iBgnRb81/cXsnuZfc2TVu0CCQyzL/ITEq63VaDXxo7F\nu/EutZRpSIdgAttUXaXe0M4ejePztxZTUFKxHXU4mvRLGbb9Gp0HLUs1YcWfvsg342eTmWydmv3S\nuQRrk1XJb7XaQ13mPReiLhzec99www3MmDGD119/vczt/4wZM+o8PbloPmIiY5n16k9EH4nhxM5T\n3Dn2NnYv20fUofMc23aCke88xOD7r7UdnxyTyrcTZnNq9xk8fbT4BvrQf2hfXv3uOTKzCshKy+Xb\nKcs4vj+aXesjueOhfpzdHEHEpmNsW7iDmMg4LhyL4dD6I2h0GhLOJ3H/q/fSpnMIr0x7mNlTVxIQ\n6M1zb9+LuqbNNFgT0c+T5rPl162YTWb8Q/wIbNWCF2eOIbhNzUZB1Zdtq46w+LvNZKbmcv50Iv36\nt2b112tbKJ9CAAAgAElEQVRIv5SBX7AvCqWSx997mOtKih0Prj3M3HcWkBybSszxOG4cOZj1P24m\n8XwyvkG+YLEw4rV7uf3pm13yepqkSkZDxcebCA9vI8V51eBwPYvCwkLGjRtHdHQ0vXv3xmw2c+zY\nMcLDw5k5cyZeXq5dQUvWs3CsvuL5edKvrJttXw+99DBWgK6DOvPusjdt20s+Wc6S/y23bYd3b820\nzZNt8ayev5vfvtpo2++lKCbrXLx928/LVg0N4B/ix8wjM2zbhQXFuLmra1zY9rfU+DReGfiGrYIb\nYNKSf9P9H64bsDFl7E+ci7S/B37GPFJjkm3btz97C0999Lht+5NRn3F4w1HbdovWLUiNS7VtD37g\nWv759dg6x9XUPtN1Ws9i4DTQlL8YMLP3k/6ypkUptVrPwsPDgx9++IH9+/cTGRmJQqHgySef5Jpr\nrmmQIEXTVKF6uPzlRfntCtXKSke7UVB+KvRya2qXO95DU/2aiiqVO6na3dVXluVec7k3SV2uua3i\nW172OzXuGL8SlJ/uA6wTCopqcTr0Iz4+HqVSyeOPP15m0aPdu3czaNCgBg1OCCFE0+Cwg3vlypU8\n/PDDvPfee9x1112cO3fOtu/jjz9u8OBE09Cqa0s0upKx1wrr1OWePvYhoJnJWZzea+2oNuQWcGr3\nabTe9v1hHcuOqGvdKQg/vX0N6uAOwQSE2ce6B7cLQt/KXkgW1sHeSWs2m1nw4SK2zN9WrdgtFgvL\nPl/Jyplrbd/z9PUsU2HdsnMoga3tVecbf97C71P/aLTJMk/sPEV2or1ZT+PphqnYZI/XR0vrq8oW\nM7bsGGobNuzh6U5Ih2CUauu2u4ebw1oOIWrDYVHev/71L3799VfGjh2Ll5cXb731FnfccQfe3t78\n9ttvPProo40YakVSlOdYfcXTrldbgtoGERMZy51jbmXsp88Q1imUcweicNe6kxqfxpHNxzAZzSz6\n7x+c2nMWNw83vPy8uOmxIbaK7r/jCWoZQIcerTh/8iLXDOnC+P8+SrdBnYk6HE2vm3ry6pzx9BjS\njaiIC3Qf3I2Xv38RlVqFIbeAmS9+x5Z524n86zj5OQZ6XH9VlZPsGYuNfP/qHNbO2kjkjhOkXUrn\n6lt64qF1Z+CwfsSdvEhwmxZM+P6f6MMCMJvNzHvvN5Z++icndp7i4ukE+tzaq6Qeo2FsmruVn96c\nS+qZi/iH+ePhpcGUkkb2pTT8gn3RBeh45uPRXDfi2jKP63lDd9zc1aTEpfLYuw/z+PuPovHSkHgh\niUfefoA7nr2lXuJrap/pOhXl/XoO3MtNC1+UxXM3ekthXilVvccOO7jvu+8+li+3d1TOmTOHJUuW\nsHDhQh577DGWLVtW/5HWgHRwO1bf8RQZisrMpjrvvd9Y/e1623ZAWADpl+xXyG17t+Gj9e9VGU9R\nYTHupeZ0KjIU4aZxs/3xL7+9Y8luvh73ve14nZ8XXxz6H5oqPtwxkbH855b3y3xvxp6phLSz3umY\njCb8/T3JzrEOVc3NzGNCv39jyCmwHT/xp5foP7Th+ujeufMDog7bF4xq0VpPalyabfuuF25n9OSq\nL8rK/0zKb9dVU/tM16mD+8YfwbPcNC75CSx5OYhWrVrLqKgSVb3HDpuhfHx82LBhg+12/KmnnqJX\nr1688MILGAyG+o9SNGnl/wgpK3Silr3uUDqp4HYvN/mfu7ZshXb57fK9uhYn84xXdh1U+nsqtapC\nxXbFhzTuui0VOqqdVKiX/5nUZ6K47BiSIS+h7JcFHvgeBr5+kNjYGFdH2KQ5/CS+9957zJw5kyVL\nlti+N2XKFFq2bElsrIwiEEI0I/reEDyw4pd3u4p3HKICh8miY8eOLFu2jAcesC+nqVKpmDp1KmvW\nrGnw4ETVzh6I4qsXZ9lWX6urlNhUvnz+W2JPxlXr+Jz0XM7sO4vGq6RCWwFhHUPxDrB3XOdm5HFk\n87FKH19UUMysV39i78oDABiLjPzw+i/sXGqt2DYZTcz5zzy2LdwJWAvpjmyJxKeF/RbZXePOXw46\nuv1D/WldapZbnyAfti3cabu7+POrNfzy/u+27b/mby/TpOXTwodD64/U29Q2h9ZH8N0rP9jW1D6y\n5Rg5Gbm2/VofDcZi+3N5+XrSpnvrenluIeqqWj13pZsCRowYwdKlS2nbtm1DxSSc2LF4F/OnLCIz\nKYv40xcZ++nTtO/dttbnO7n7ND/8+xcunU3g7KHzPDHlUfrdVXU7fUxkLLMm/kT00Ri8fD3xC/bl\nxseu56E3hnN8+wl++PdcigqKSI5JYea4Wdz/r/u4c8yttsenXUzj6/GzObnzNHtXHOD8kQtEH7lA\n5NYT7Fi8mwtHY4k7GcfRLZF4aN2JOR5H4vkkDm84gtpDjW+gN0qViozETOZ/sIikmBRGT3m0Qj2H\nbwsf/vP7q3w9bjYXz14kMzmbFV+sJjUuHbWbiu2Ld2ExmTkfGYfWW8vW33ZgKjbhF+yLBcjLyGXr\ngh3kZuQxbuaYGk8CWNrqb9ezdMYK8rLySYhKosf13dnw4yZy0nPxD/GluMiE2WgiIzETv2A/1B5q\nnvroMa657epaP6cQ9anGU3bK2tuut/W3nWQmWecDij0ex/bfd9XpfNt+28Gls9apEFJjU21X81XZ\nsXg30Uet7bt5WfkEtw3i4TdHoFAo6HF9dwaNGEBGYiZgvbvY9lvZ8+1evp+TO60L+xhyDPw1bzuR\nW08A1jW1/5q/laNbIq3bhiL+mr+NwxuOAGAsNFKQX2g7v7HQyLaFOynILaAyfkF+jP7gUTISs7CY\nLVjMFnYu2c2233diNpqxWGD3sn1s+32nbbhqZlIWhhwDxpKpyw+uPVymWro2ti7cQV5WPgBn9p1j\n89y/yEm33lVkJGbh5q4mP9tQ8vyZDBzWVxKFaFIabkygaDR1ngm8jicoP3TVWfVwhacrv4S3kwfU\ndD3q2kxjXr6qvL5VeAuUNXsPRS2Unxuq3L74eHtti4yMqshhsjh79iydOnUq871Zs2Y1aEBCCNEg\nDMkOB7c98D2guAT5Cez9GJkvqhyHl1yvv/56he8FBblmVk5hF96tle1q2dPPk7Y929T6XInnk7hw\nLAZ3jXXIpdpdRfhVjjtV2/YMx8vPOomkQqkgIymTyO3WZqTcrDxO7DiJp6999brWpaqlCwuKiTxy\nEV2pjnClUlGmY1zppsJbb+/IbtkplJD29irwsI6hhHa0j17R+nqxZcXhKuP1DfKlTQ/7nEC+wX74\nBNmnOvdp4Y1XqbWtwzqF0LKzfY1sn0AfDm86itlU+47u0hXVXn5emM32v1qevp6YjCbb7YZ3gI62\nvWr/MxVVqGo0VOlRUbpwGRlVBYcV3E2hStuRK7WCu9dNPVC7qclIyuTpj0YxaHjl08U7i+fY1uPM\nHDeLi6cvofXVovPz5KE37uee8UMdPn/4Va1p3a0V5w5G4eahJi0+nSObjmHIK2TJx8s5eyAKlZsK\nXYCO2566iSenPo5CoSA7PZePX53PqaMXUWo1aD0UaHUaspKzsFgsePvr8PTRkpWcjcVsxifQh4HD\n+jLxx5foc1tvoo/F0OXazrw6Zzz97uzD+SPRWNzcyVJpORURS2ZqDr0GdarQTOWucWfgsL7Enoyn\nyAQ5Hp4Uunng5+OBp6c7mSlZFOYX4h/iR9ue4bz603huf/pmEqOTyMvKJycjh9hjcUQfvUDvW3ra\nEmtN9B96DYbcAlIvplFkKCIvMx+/YF/cte4Yi03kZeThF+xHQKgfYz99mr63N43+isu+grsyV3hV\nd60quK+//nrGjBlT5UmfeOKJukdWB1d6BbexyIjawTKgzuL5ZvzsMp3j/e7qw6tzxlf7+StWcPuX\nWaynXa82/N8GewX35iX7mTPdPkdThanJ/T3Jy8i3bfuH+vPV4f/Z/vgbi4yo3FS27f1bTvDFW4tt\n2xqtG9P/eBlv38rX5E6MTePfj8y0HW8uLkZx6RKmUlOVv7Fgom2N68L8Ql7q8xp5mfaYXvjiWa5/\nZHB136IK3rzpXWJPlJqKPNjXNlgB4OE3hjP81Xtrff76dllVcA9dU3HW2crkxrL3/bArthmqVlOU\nFxYWcvLkyQYJSNSdo0RRHeU7cWvaEVyxgrvc+ZXlO6bL7XfSca1QKMp8r/zrValVNersVqqUFdbw\ndtQ5X9n+uqr4npTdVqtrv6a4cMJRB3e542RRpIoc/rUJCwtj6tSpjRWLEEI0HCcd3KU98Hkie1vF\nXLF3F5VxeBkjNRXNV1RENB88PJ3E80lVHtO2VzgeJe2T7h5uNe4ob3912zId0SajCa+/m4AUVKg+\n7tSjFQFBPgBYzGYsBgO6v6cqVyhwCwnGp629c1EBbJr7F2Bds3vOJ6vYsHifbX+r9kG0amefWjy8\ncwiakrmRzGYLC7/exNIft9o+x95+nrTtaj2/xWLBW2Uq09HuG+TDrmX7bB3Zanc14aVeQ1inUNpf\n3c62vXnuVr5/bQ7GIiNgrVf5bsIPFBVU3sa/b8sJCjXetlssvxA/a4V5yc2Fb6APnfra/zhFbj/B\n52O+JiMpo7LTVRB9NIbPnp3JpXPVvIK+0jjr4C795SVTvJfnsIO7RYsWtG/fdDPrldrB7czu5fuY\nNfEnTu+L4siWSMI6hRLctuIoto59OxDYugWXzibw4BvDuWvs7TV6nlZdWtKuZzhnDlg7urOSs1G7\nqfAO0HHX2NsYNeXRMs0s7TqHEN4llDOHzqNITSUz3roMqFcLH7w7tyU7zwgaD3T+XmjdlaQnZBC5\n7QQZKdlsXh3J3o0nOHEgmqyMPHpd2xGdj5Y+13cm9lwS7a8K4+WPHsLdw42iwmK+ee8P/lpxmNMR\nMSTFZ3D1PzrhoXFjwM1XcTE6mfyYBLJiEinILcAv2AeNTkN2Wg4XjsRw4VgMfW6/GneNG4OGDyAl\nLg2dnxevzB5HaAfrqKxf31/IHzNWEHUomjMHzhF95ALLPl1JVMQFTu09Q48h3fD0sfed/PnLDhbO\n3Eh2diH+bUMI8Pfkn18+y70vDwWLhfwcA2M/e4bB9/TDYChm09y/+OmNeZyPuEDkXydo26sNAaFV\nd7ju+XM/3034kXMHz1t/5h1CCG5X95GLTeUz/bdG6eCGK7qTu6r32OGdRWJiou3/Z8+eLbPvgw8+\nqIewREPY9cdeW0dz4vkkdpXMt1SZwfdfy7Qtk7l51A21eq4e13dnwN39bJ20htwCAsICeOiNEZW2\n97frGsrgIR3JKEkURYYi8NSSmWWtwC4uMmE0WmwV2sUFxexee5Rje88DYCw2s2fDcVundECgD/+e\n8TjjJt9vm8U29mwS+/86BYDFDLvWHyMzJQcAL28No8bfRlZsEpaS4auZSdnkZuRhMVm3D60/wqk9\n1sWc3DzcGPfVGN5a9C8Cw1vYXseupXspLrmDOL79JDv/2EOhoQiAU7vPsH/1oTKve8+G4xjyrPuz\nsgoYPPomOvfviEKh4MHXR/DhunfpNqiL/fx/7CUnzRpz7Ml4di/bhyPWn7l1evik6GSHP3MhasNh\nsig922z5motDhw6VP1w0Uc46aetaLaxU1azCuvzxFSu0yz/CWfzKmnV0Kys51sHDFQpFvVdUlx9M\nUOOq9wr7G7biXAiHHdyl+yyk/0II0axVdzRUybGlp/8o70ocKVXtcXpy5dJ8tL+6ra1JxtNHS/ur\n21b7sZfOJTDjqS85s9+63npSTAoznv6Kk7uszTopGbl8+PMGDp+x1gpkZORyLC4DL39rR7FCqaBt\nT/tY9txsAzPfWcLeTdYKb0OugYhNx8pUbCuwdj7/Te2hwqeFj30bEz6+Gtu2GxbWzLLWd5iMJua8\n9SvLP1+FxWLBbDKzfWUEvnov2/F+vhrWz7Yu4mWxWFj/46YyU537BPrYO+axdnTvXrbXWlVdhdIV\n4SEdgstUvfvovTm86ZhtKnKwdr7/zctHy7G958nNrnoBsbY929jW1PbWe9PxGnvf4cldp5jx9Fck\nxaQAcGb/OS6euYTaw3rtp/XW0r6PvSM+5ngcM578kgvHrvDFfSpb/Kiqr78XRXr/UsWvK3ShJId3\nFpIgmqcRE+/BN9CXjT9tZvirwxhwd79qPe7YX8f56T9zSTyfzLnD0dzwyD/Yt/IACVGJnN1/jsEv\n38XO7GxikzI5Hp3Inb07Ebn3ArFZhWivaoN/XDK3PT6E+ybcDUD8+WS+/3AF0acSOLLnnHXa8dX7\nOXfwPG4aN3yDfFF568iyuOGWV4CvvycUFJAWGY3KXYVvkC9KpYKMi2mo07Lx7doeTCZSDp1k4dHT\nXDx9kezUHCI2HUOpUnLx3CUKNT4c3mntb/DTe2EpLCL10ClWHjxJckwyChTWNTQs4B/sh1KpIC3B\n2r/jH+KHxWIhMzmLHYt2k5uey7hvxqLz9arwXr3283jm/OdX4k9f5PnPniGoTSBz313AvlWHyEnL\n4diWSKY+PJ1xM58jqE0gY9++l4AW3uxYe5S8HAOnI2L55JVfee7te2nVvmJH9Ogpj+If4seOxbsZ\nNfkRegy5CoCtv+3gtw8Xk5WSzcXTl+g/rC/bFu4kMzETb70OTZCGx957mIH3WH/mB9Ye5pe355Ma\nl0Z0ZAyjp4xkwN19a/6huhzoe1evKE9UymEF96BBg7j3Xms16YoVK2z/t1gsrFy5kl276jY1dl1d\n6RXczvj5acnMrP7yt9+/Noct8+yLCZVfD9pr+DVc8rGPlGip8CArPse23bljMB9MedC2vXzOdpbM\n+su27as2kXbavsKib/sw8hT282kpJifKXt2s9dFiKHX17eGtobDU+tjunu4U5RfZt/10mPX2obQU\nF2OMtZ+vMiq1skwFt5uHG8WF9tE/E3/6J/2HVv3H1Wwyl+l/eGXgGyRfSLFtj5ryKEOft48ym/TE\nLOLO2Ycz3z/mBoY/c71tu/xnqPz5/ztyBkc2R9q2A1vrSSn1M7ph5BCe/+xp2/ZXL37Hrj/snd3X\nDh/Ay9+9UOXrKa+pfaYbpYLbmcu8wrtWFdyPP/54pf8HeOyxx+ohLNGQnK3fXN/KVyc7Pb58x3YN\n9zs9f21iqOP0584e39DTq9f0ZyBEdTlMFi+99FKV+86fP1/vwQghhGiaHF62xMfH89prr/HBBx+Q\nn2+dTC0vL49p06Zx3333NUqAon5EnbjIp//+jZiziVUe07Fve7xKOprV7mqMRUa03taOZbWHmo6h\nenxLlhZ1KzbjFpOFruRKWVlURPb2SPavsQ6pzs7O59D5JDxD7R3VSh8dPm2sHb0mjZKkZ4Mw32It\nkrKYzSgKC20d2xalguKbu6EZ0tn2eA+tO76B9qIqjU6Db5D9/LqWwWU6tr2DfPHv2ta27RvkYzve\nAnjc3gO3O3piUdj3a33sHenh3VvTpnvVzRbrF+3juynLKCrVbFV6edvgtkF07Fu2qaJd1xDbLY+n\nysyRP3fXaB31Dle3w01jHbyg9dZQXGifTNLDy4PzEefLrKPesW97NDrra9LoPOh0zeXZdFIt+QmQ\nG1v3r/wE4uPjiI4+X+HLZKp6UERz57DPYvTo0XTp0oXk5GTatWvH4MGDee2119Dr9UyaNIn+/fvX\n6kl///135s6di0qlIiAggClTpqDX63nrrbc4ffo0CoWCt99+m0GDBjk8j/RZOPZ3PHs2RrLgy41k\npOSgD/bh8VfuoN8NXSt9zKH1Efzy9gIKcgvITsvB00eLVqfl3gl3c9tTN3Hk3CW+nbMZZWQqOck5\naDzdUXiqUF5MIis+DU8fLdePuZXjmUVciEnF3V2NV0Ex7nnFZKbl4u6uhgATqU/qSfQuxgMVLXcZ\n8V92kYy4VNTuKrSh/hTe2IUUixmVUoH+UjaeR+PJSMxEqVLiHaBDqVKSkZiJQqXAJ8gXdXAwWTlF\noADfAC8UCgWZqdZlS308VVhSUm2Ffn6hfuT/oxMpWusf2RaFZjy3nSYrMdPa8R3iR2jHEF765nn8\ngiqv+J07Yw1blh/CWGymS+/WvPD+CPTBvpjNZhZ8sJizB87x3PSnadm57NoIFouFZT9uY/Mvf5ET\nm0BRfhHh3VvzwufP0rZneLU+Qxt/3sLyz1ZhyDWQn23Ap2TKFZPJTF5mHi3CW/DkhyPpe0cfwFrR\nv/yLVdz70lCuGzGwmp8eq6b2ma5Tn8XAaaCpp/V4PINAUW7obH4Cez/u2+z7MmrVZ5GUlMTcuXMp\nKChg+PDhLFq0iLFjx/LEE0+gVNauPfzkyZN89913LFu2DG9vbxYsWMCkSZPo1q0ber2e1atXExsb\ny+jRo1m1ahU6nc75SYVDB/46RUZJBXNaUjYH/jpVZbK45varObzhCJt+2QpAfraBTv07cttTNwHQ\nu2MYQ4KDWLs5GoCC/CL8ioykxqfZjt+zJ4o0rfUOpKjIiI9SSWZarm3b1N+fRG/r1XghJkwFeWTE\nWSu6jUUmCoK9SbVYO51NZgtFRhOFJX/ozSYzBYZCCnOtw1ItJgsFhWZMOSUd3RbIzTKU6bTOzDRg\nLnk8QHp2Prla+0c/zWLCkpFrm2QuIzGTZ//3RJWJAmD/1tMYi63PcfpIHBE7z3LL/f1QKpU8/t7D\nmM3mSn9HFAoFI569gf2//UVaSed87PE4Dqw9VGbIsSO3PnkTh9ZHELHxGADZaTllBiOkxqayf9Uh\nW7IYdN8ABt7Tr9a/s5cNGQ1VJw4/PZ6e1iYJjUZDbm4un3/+OU899VSdPnReXl58+OGHeHtbs1eP\nHj24dOkSmzdv5sEHrSNpwsPD6dmzJ5s2bar184i6cNLxXNOu5hp26jor4K5hgXetKBR1+8Pq7Hek\nvtdNd3a6Kz5RiDqr9icoICCg1s1OpYWHh9ual4qLi/n000+56667SEpKIiTEXrgUHBxMUlLVM6YK\nIYRoPA6bocxmM7m5ubbt0v8H6tRElJmZycSJE/Hy8uLll1/mxx9/rHCM86szBXp9xYIpV3FFPPvX\nHWbFzPWM/WQUrbuUnVb573h6D+zAsb1RGPKK8PLW0Pva9rY4zx2/yNzP1/PICzdx1TVtAbjm5qvY\nv+og2Wk5eGjd6TWkm+34SzFpnD0ah85HQ252AWo3FV0HtONkbh5pF9NRqpUoDEX4BPmTnVOAUqnA\n6O2GdwsdOam5oABPtZlAjZaUAmsNhcrHE/9QfzJKiuM8zEr0Oi1pudb9inB/fNq1ICva2lSlCfJD\nG2AmI9Zaz6DVuOHmryUjw3q8ztcTpRIyUqyf12792mMM1XJ6n7UqPaCFLxo3d1KKrc1ALby98AoO\nICMm2bo/1I99y/dxw4j+qN1ULJi6lEvnEnn5m+dslfFde7dmz0ZrVXrrDkH0H9Kpyp/92p82s2/1\nYSZ8OxZfvTebVxymoNg6LNZsMhMY3oJ+t/RAr7f2tZw5fIH1iw/wwjv3Etyy8llPe/+jKyd3nKLQ\nUISnjxZjsQl3rTtFhiJ0fp70uekqWzynj8Yx/6uNjBx3M12vrtk09E3td6yp8/f3vGzfL4cd3F27\ndkWhUJSZF+rvbYVCUetV9C5cuMDzzz/PDTfcwFtvvQXA7bffzsyZM+nUqRMA48eP54477mDYsGFV\nnudK7+DeOGcLv0/7g9yMPILbBfHMx6PpeX33SuPZszGSVb/uZvjTQ+h7vbW/4sDWU8z7bB3pSdn4\n6XU88tItDL6jFwBHtkTy+0dLuO2Zm7lx5BAATh66wE8fryIxNh0PrRtePlqGjhzE7Q8P4NzBKGa9\n9jN5RgU5ZjVu3h6o2uop9lGTbClEU2whNLkArikm/a5sLCZ38jMD8TpiQvVbGiqzCc/ifCx6H9L1\nfuCuxL2tN0YvJQmqfNR5xbTbchE3pTtpgXoUJiP+cUkoDAVkJmaBUkFAr04oPTxsHdv+LXR07h3O\nc2/fi9lo5pvxs4k6Hk+WQgNqJeqBLVG6KSncGY/CaMbHXIDFYLDNoNv9+m746n3Ys2I/ZpOZqwZ3\n5Z/fjsU/yA+zycz8LzcQdy6J5ybdS4tQv0p/Rgs/WsKa7zZQVFBEu15t6HTrNexYd5xCQxE+KhM6\nN3jh82do18v6R3zr8oPM/2oThrxCQtvoeebNYXTpXXk7+18LtvPH/5aTl52PIbsAnV6Hp7eWJ6aM\n5Jo7rGt47910ggVfbiA9ORv/Ft6MfPlWrr21R7U/Y5dVB/eNP4JnqPMDays/gSUvB9GqVWunhzbl\nuaVq1cF96tSpeg8kJSWF0aNH8/zzzzNq1Cjb92+55RZ+//13Jk2aRFxcHBEREUyZMqXen/9ysn/N\nIXIzrL/ISdHJHFxzuEyyKO3aW3sw8JbuZYrCDm07TXqSddhmZlouB7eetiWL3jf1oNeNZY8/vOMM\nibHWabALDcW06xrK7Q8PAKxrYwx47CZWzNkBQHFOIQqViWTMoFBQ4K6g4GF38jtbO2EV6iLCjmWT\n95u1ItusVGFs34ost5JfoGILRQVFJPlaAAVGnTupN7TH/Yz1eIvSjTy9L8YDJU2VZgs5Fy5hKVXB\nnZWRx6Pjb7XeDXjAY1NG8q+HvrK+JjMYd19ErVaiNFlAoSDL4oYqy14NfXzbSTQ6D9tiSCd2nuLY\nluNc/8hglColo165w3bhVJUDaw5TVGC9g4k+GkOOmxdFBcUoFNakeuuo622JAmDPxhMY8qyd9wkx\naUTsOFNlsrhx5BAOrD7EofVHAMhNy6XvHX1siQLg0PbTpCdbf8YZqTkc2namRsnislKDlfJq64Hv\nAcUlxwflJ7D3Y5rdqCmHyeLLL79k/PjxAE5/Kapr3rx5ZGZmsmTJEhYvXgyAVqvlhx9+4J133rHd\nSUyePPmKXHikIdX051fTauQab1frfJbS33B6Pku5/Y7W3FaUi6E2a27X9Xeivh8v87k5IKOh6sRh\nsti8ebMtWdx///0sXbq0zk84ceJEJk6cWOm+6dOn1/n8Qggh6l+11+CW9Syani4DOuGusa457emj\n5almMDgAACAASURBVNTeM2Wqd53p3DscL5+SimyFididxzi+o/J+qEsXUjl5KAbPkopui58bpzqp\n2HrGWm+RkpDJsb1R6P6eStxNidKoIEBh7RBWmswo97ijO6a3Pr5ASV6hHvdu1mYjk5uC1Jt0KK62\ndg6aVFDQWY1PUMn5LBa0bu54tvK23T106NOO9r3tTTi61iH4Btg7Fzv3DkdX8vrMJjOr5+/Gr4V9\nUEaH7i3pcrX9StMv0AddB3t7s1+QDx6e9okOA7qEc3B/rK1ie+XXa/li7DcYcq1NY2u/38Bnz84k\nN8vext+pXwfbfE2+7cIwlxq04aUycXjZLtsKd7uW7iXlyFmUFmsVsJePhuMHokksqWE5tCGC/46c\nQfyZi/bXOLCTbR11rbeGcwejiIqILvUetMZTV7Lfy4POve2v78KxGKY9OoPI7ScQwhmHHdzDhw9n\n2bJlAIwYMaJe7izq05XewQ0lnZzTl5OXacCQYyAwvAVPTx3F1bf2qlY8EbvOMvfDpeRcuEhuWg4+\nLbwZ+c5D3PDoP2zHHN9/np8+WU1yfAYaTzfMLb1I7+dHenEhXu5uDAsM58KykyTEpOGuccPdT4sp\nUEdmTgFu7irc/TWoiy1kpefj5qZE209JYaGWtKRC1EoFvljI7uFOgroQFQpCst0xeStJVBhQoUBf\nrMEnXklmRj4KINBDw3XtWvPMU9djyMnnq3HfczGjmKwsa1u/fwtvuvVty5i37kHtpqKosJiv3l5C\nxM6ztv3tu7fkhfeGExio45N//86JA9FkpFoLF3293TElJJKZnAUW8AvxQ9FCT26BGYvFmoT8lcXs\nXrYHs9FMp34dCGkfwq6lezAVm+jQpx3jZo4ltEMwFouFpdNX8NfaSHKLFRiLTfjqdZjT0sm7mEJR\nQRGtuobR9dou7Fi8i4LcQnyD/VGFBlJotPYNhbQOoHvXFuxYsJ28rHyC2gby7H+foOeN1v6pnUt2\ns3DaUvIz88jPNhAQFsAT//cYA4ZeA1j7LZbP2cE9o6+j343dADi47jBz3vqVtPh0fPTePDzpAW5+\n3D777d+kg7sB1KAj/G+N2SFeqw7u0kNnTSZTvQ6dFfXjxpFD2PvnAY5sslbzpsSmcnB9BFff2qta\nj7/6uk7s7dyCrQetgxmyU3M4uPZwmWRxeOcZkuOtw1oL8otRttGRXmz9w5xXVMzhXWcpiLFe/RYV\nFKPx9iMtx76mtlehhcxM69xixcVm3GI9ScP6eKPZQk5bDxLU1uNNWMjRW8guNti2zfkmMjNKOraB\nAjU89eQQVColOj8dQ1++l/+9Ot8Wb26OgZHjb0Vd0lmeeinTlijA2tF7/5jr8dC44eauZuT4W3n1\ngS9s+zOzClDnFNg6QDITM9G1CMJSUlV+5kgs7mnJmEuqxM8eiCLhfCKmYusdQdThaI5sPkpoh9tQ\nKBTc/6/7OHgkkcwo69DcrLRcvAsKbB3f8acukZ9toKCkKj0rKYOg8DCyc6zvWWJcOgUx8eRlWbeT\nL6RwcH2ELVkMfmAQ+1YdYv+qgwCkX0rn0NrDtmRxzZAuXDPEvr43wMF1R0iLt97RZKflcGhdRKXJ\n4rLSCB3c1VWtjvC/NZEOcYfJ4syZM/Tv39/WBNWvX796GTorhBCNTjq466TRh84KIYRofmTCmGZm\n758HmPbIdC6esS4+f2DNYRLOJ9k7un09Ob3vLNFHK18j+PThGKa9PI/TEfYV67oN6mJbE1vrraXb\nIHuTxYWYVCKjUvDyLekI91BTbDLh42HtNHVTKjHoVHj5W+cRU6mV5AWa0emtHdMqlQKjuwKfkscr\nFKDOLsJfY328AvCMySPQ5Gbb1hQqaaHS2mJQeqrw9y217aNk9vGDWCwWigqNbF1xCD+9vUnUS69j\n6YpDmM0WTEYTf36xCr9Sa3j7+nqw6stVGIuNmM1mlk5fjqe7vT3YN9QXjxD7sO12vdrSqWcr23ab\nziF06t/Rtu0XGoDaS2sbh+sb6s/BvRfIybS29W/4aTP5KRm2jm7vAB1mHy9UJWtsB7UJpMuA/2fv\nvMOjqPM//tqe3ewmm2x6QiCEEkKA0EvoWFCKiFJU9FQseCrnqT9PDwv2fqeeenp27xQVUQTLnVQR\nBURKIECAhBTSe7b3+f0xy8YAIQFCCDKv5+F5+Ga+M/vZ2dn9zHzfn9ITZcCGqCQTvfp3QRXoqR1q\n0OBxe1EFsseNsUbSRzV9Rru35FNaZm4SusO05O84FOyjfjzSR/XGEKhWG6IPoc+o3i3OlZCAVgTu\nzs75JnB//dp3fPn3r3FYHMR2i6Hf+HR+/vIX7I129CY9crkct8ON0+rElBjJHa/cSO/R6cH9f/rv\nLpa8uhpznY3wSD1z72zK2M7ZsIfPnlnOlNsuDvZv3r6jkHff20B1jYUQINTlpaGHlrJYOSEKBTqV\nCoUV7NUOtC4/0VVOGoYoKRjkI7RRQbeftPjlcqoED2q/jBiXAkW9A0tBLbJQFbKBMSjL6rGv2oMQ\nFYJj4UAUCi3O/XZQgqK/FhkyGssdyH0Q59Xi00ORyY5MBhMjk9GvqCR3h+j4wqNCEXQaqmVikl1m\nvyTYkcfuH/aATIYpIxVkULs7HwSBjLHphBpC2PKN2IPD1K8HglFPtUIGchmm6jqSo/Xc8c9b0IWF\nsuQfq6goruWWh6YTGqbl06eW8dOKbZgVIQjICVN4EBwubGodgkxBt95xJBiV/LxsE16Xl4heychM\nRhq1StwyGcZGM5FeD7e/Mp+k3ol8/84atn7zK9c8Opdu/bqy7qvtrHj3Bxr3F+Kst2AwGQgzGbjp\nxT/Qe5hY6WDt8m18/uY6rI0OdHI/MnMDbrsLh8WJMc7IvMVzWixLnvPjXj57+ksuufVCRl427Lhz\nflcCd3u1Ve1oOriN6ykJ3BKdi52rd+GwiMJvZWEVvtVe7AHR01prJbqLCXOgkU5taR2/fLe9mbPI\n/jkPc534xW+ss5L9c17QWWSM7UvGUdnfO3YWUR2IEHICwogoyhTi6zt9PqK8GuqrxeM5NHJqLjdy\nOFoslWEL92Hup8CeI4q4brkAPg/WglrxBtzmIfTnIhoOHhaT42qcRHxbRXWvGLGqrRdURX7q1B5k\nyBAUUBvhoTFUDFsVgOydhzDtaMq4trm92PQajtzi7958ADYHdDVBoHZ38zvtnA17gyI4QM2+ApQX\nDIaAUF0bY+IPf74EvVF8arnmTxc12/+qB2fxy/YyqDAjAyx+NYYYI0LgMyncX0G1rR6vywtA/YFi\nwqYl4LaL76EhPIwLrxxGUqCm10XzJ3HVfdODP84TLhvEz/9eQ2W9+BlYai1kzRwedBQA2ZvysDaK\nn4ndLyciLJTGQLmShooGdq7Z3aKzyBiTTsaY9ONu+11iLz/bFpwa9nJKSlpuqtRRkVKSs5CQkDg/\n6ETRUCdLi9FTHRgpJTkLCQmJ8wMpGuq0kATuc4j0rLSgkG1KjCR9VFpQ1IyIM9InKy3Ybzk0XMfe\nnw9wcFs+ALtyDnPQbEMTKQrRGpmfQ+t2BLN3D2zN44krniN7rZivkZ9fyb59ZYQGMphVKgWaw25i\n7OL9hc7qx/BrLVE28VZNE+EjIrWOLgZxCUjlluPzytFFB4RtwBmrQ50uZmxHmJw89s893PhgoOOd\nVom/RwwRgR7fMpWPqNH1JGe4AQGZx0fXn2z03umDIzJbih73tDgEQJCBOsGIMdBDHCBtUHfSRog9\nvAUZGMb2I2ys2HNbkIH3tgE478hEUMgCNhnQF5ZBoHBgzx6x9EwV23AKgsDSZ7/k5Ztex2F1iMl2\nf1+Bt7wSvz+QcZ0ShS8hLHi8xO7RpI3ojVwhfs0Mmd0RlIpgiatwq43s91ZRWSSWWt/w6U88MPkJ\nyvLE5ZKfv9xC9eEaVIEe26ERoez9KZeiHFGj2f7jfkoLqlGHBHpwR+tx9UxCnRAJiBndh3YeYt/P\nUlSjxOkjCdztSEeIgRs+2ci6JRu57vGrSOnflZ+WbWL1B+u5+pHZ9BycypaVv7Lk8aVYai04rE4i\n4owMvOECtuwrx2xxEqpVoymuwltcga3BRpjJwLCpg/n1fzvF5LOIUIbNv4DtRfXU1tkICVGhVisQ\nBLBYnGhCVCgMMrQFFqw1NtQhKuQTQpFd5sCisKJCibvGhPNAOPUWJyq5nAiPGpUDGiwOlHIZQ011\nPHjjj5giyvALSr78MoN3t4+m1utFLgNjnBL9+HoaNQ1idFRhJCH/lmMpbgQZKIaYqBofRo1T1AaS\nqxVE5UBdoOxGZEQoAwYkc9ON4xB8ft645332WjzUecRLPVwjo3qwkjKx8ggJdQJxb++nsSzQozsl\nlq7Th7Hwz1PQatUIgsBrf3yLn7/cDAL0GJJKZFwEW7/dhuAXMCaaEDK6U+8TM7wjDCHEq1Tc+fAM\nImPCWPnqd/z3x/00qDV4fX6M4Tpk+SU4ckvwuDwk9Iij57CebP5yCy6Hm7juMaSPSuPn5VtwWl0Y\nTAZkchkumxOX3U1UkonMy0fxy4952C1OQsO0yIxa7DoVDqcHvVaFMrcQX1UjdrOD8OgwrnlkNqNn\njTrp600SuDs5Z0D8bukcS08W5xhj547mka/uD5a1zrpiJI+seICeg1MBGD5tCF36JAXrFdVXNJCd\nXYQ5kFFtc7hRCT5sgbBOc62F7LW7aQj0qLbW29iZXUxtQAh3Oj2o1Uosgf1dTg+GWi/WGnG72+kh\nJNmDRSFm93vworapqD+Swe33I5fLaAgI816/wMAh1ZgixPVXucyLN05PrVcUgf0CEGunUSPaIwDy\ncofoKAJ/cDjdQUcBYJYLQUcBYLE6mTtnBEqlApVGxcwHrgg6CoBauUCFqemcVqi92OqaqhM0FFRy\n0bBUtFrxKc7n9ZGzYU9wvTvv13xyftyL4Bf/0FBai0epCD7w1FucDJs6gMiYMACm3XEJum6xeANP\nLA2NduT1VjyBGlNleRXsXp+DyyEGA1QcqiJ7XU4wo9tSa0GlUeIK9OyuKall9+Z87Ec+U7MDhVGH\nwykez+rwoAlRYzeL57yx2kz2uhwkJE4HSbOQkJA4PzhXo6FORCuRUm2lLRFVkrOQkJA4PziHo6FO\nxEnVmToebYyokpzFOc6m5VtY/f46rn5kDqkDU9i2IZfSCgsh+hCcViehxlA8DQ60EXocTg86rRKX\n043WoMVhcaAN0+JRqAg1hmJrsKEz6uiX0YUdxQ3UN9jQaJR4PD4Meg0Wqwu1RklDkkCoVYetyo5K\no8RWpUIv6LHKrChRoIiwExkWSZ3ZjUouIyKhnhCvnuoaDwq5jHx3KBZfDAZFFYIgRyaDCIOWeosD\nmQx89ToM3nAsSnHpSaEPITxWTmOgq5+xUSDOo6ZCJS7LGAQZEfoQ6gNLUepELW/s+5V7h41G8Ass\nWb+T8OhQGgM5ISZBjr8eygJJ2rEqPbrkGMwHxC9cWI9YVh4sps/YdNRKOZ8+tQylqumr0j0zhch4\nI7/+dwcI0K1fV6L6JPDLziIEAYw6FVs+XMuIgclExIovkpGRRGlZPT6fQEJCBD1jQ9m8TMzBiEuN\npeegVLas2Irb5SGmazRpI3uxZcVWXHY3hkg9Xpcn2GM7MiGSvkNT2LoxH4fNRag+BG9ZDVpTGA6X\nl1CtGo9chTZMi8Msfsb5OwvYtX4P/ccfv5PieYEUDXVaKBYvXrz4bBtxqgiCgMPhOdtmBNHp1B1q\nz9evfcdHj35GxaFKstfmUFphYeV/NmO2etCEhaLXqfCGheO0elHLZGgNavy7CrAXVKLSKAk1GSAy\nErtMjSJUi8kUyvxn5zHtD+Pp3SuOA3kVuN2+oF6hM4VgHgGFmS5s3RTE1Gmw9Qmj2KDGXqUmJl6G\nWiXHpjajiLQS5gqjT59Kug3cRUS3KjDH03VADbrMPHY7Q0hCxzdbMnl5ZTpOtxejQYsyQkWFz039\nYRWxUUq0BwzUr1Bgk8uI0KnRhqiwlltR7TQTmhqOqUaG5vNyPNUWwhLD8PfQkZvmJLehlj2VFWxc\nk8eWfcVY5D5M2hBCzXbMq3ei3FCCoUc0YRoDyrUWnAY9Rr0GVZyBkoFJlDba2JVXxu43VrNhyUYc\nVifG2HB6Du3BPR/eydg5WWKPDYOWu975I+MmZaBQyKnMK6dxzQ5qD5aTs34vPYemYowJJ3NAV1Es\n9wv8aeFFjJ85HH2EHo/Lw53/vJUJ14wlPDYcv9vDrf+Yz8R54zAlRFC05zDWQOlxrSGEmJQY7njj\nVi6YO4r45EgK9hzGeugwtoOlqP1+dPGRyCosOMxuNAYdWrUMn8dHQ0UD2Wt3o48MJaVf11aurCY6\n+ppujdBQTeuTWuDRj/JAHd6O1vxOcDdy83hDsDNpS+dYioZqRzo6cuTpOS+ye/2e4Dh2aDq1dY7g\nOCbRSFVpQ3AcKXdRdbDpcTV2cB9qG5qE4SHj01j41Kzg+J33fuD7VU3CqGKKjkPxluA4sTaC2sOu\n4Lh7pgdnbNO6cF+9n1B1UzMmvSIcq68xOK7ekcbOdVHBsTZKQ03gaQEg2qJAvr9JyA71+fEebno/\n6hAVbmfTD5k3RUv+1LCm7XYZYb+JGpVZnIR9uSM4FtRK5OMz8frEr4AgA2+yFpc3sAbs9RHz9W5c\n5qZzuuCV+aKjaIE/j7ifyoKq4HjeY3O59NaLWpx/NEdfQ09e+Tx7fmyq7jz55gu47omrg+MXr3uF\nbf/bGRwffQ1EyN1UH2xqljRixjAWvrnglO0520jRUGeAoyKqpHIfEhIS5ze/R4G7PbCXAwmtTpOc\nhYSExPnB70Hgdlax7C8ZJ9Vlr3USSE5ufWlSchadlNUfrGPT8l+44Zl5wUJzR9N/QgZ52w7hsDgw\nJUXSb3gqv2wUE7Uiog0MHt2bH7/bhdXsQCv34zLbg8J2WJSBfsO7s2NrMY11VjRyPwU/7GTrd6kM\nvWQQ+7ccYN+/12II02PR6QiRCehWNtIlS8nhvn5CXCr8ZgjXamh0uNDVO1E9VYJ6sgrzJTKUtWpK\nP40mtn8I4VkHsbu1/Frdi1hdA10iDuK0aSmuiSE0XoO13IHS6SbyuyJCu+gpyjShDvEw7OLDuA/p\n2LUkAp9SRv2kMEJqtCi/KsevkGG7IBalww9rysDvx3iolj5f29l3SSwyAXptdaNyyDkcpQRBIKGg\nFkVseLDQXkSkHtnhSmpio8SqtNW1+Cv8lPSLB5WC9B7xxI7xsj1Qlbbn0FTSs9IAUS9b9tZ6ig5U\ncPOi6RiMOpa/twG/yYS8tA6/20t4TDhbVm5l+NQhmBIjW/3M1y7fxrb1ucy980K6pMaweut+DqXF\noMgvw1fWSFjXOPblN5C/t5TUdPGa6Dchg9zNB7A12glNiMIrQIhOjdPuJjxSz4BBCfzSYMZcbUFr\n0FKYXcj2VTsZdGFme1ym5xa/B4HbWkxSUsdVoP0tksDdjrSXGLjkic9Z9sJXVBVWk702hy5pScR0\njT5mXq8hPYhLicVSZ+HWl25k4qwRJHaPprHWxo0PTOXy60cTlRhB3ub92IrKsNVbUYWoiE6KYsEr\n87n4urH06JvIwc37sR8uo6Gsnl3rcijPr+CrV76huqAKWb2FML0OlcOPrcqGLs+LIcSAzBVKo9WF\nIAjEVDmJ/uYQ1vxafNsc6O2RKPbFUV/ioe6gDqcQw15VEodtXsqsIXgbYzm8owdldX4ceDH5BKLX\nF2DJr8R/qJbkKD9Z86uRGSpRJ9QRlqKhJC6eCpWT+nABba9whF6RVCq9mLWgT9ATnltBQ1E1vkMN\nJFZDYrkGV24DnjoHMX4FYftLsewtxWVzYYwNI0SvoaGyEWeNmQj8aM1WGveX4q4yE+PwkjGhLw/e\nfAljLh+O1+0jItbIn97+I+FRoibyxqPLWfPFr1QeriNn6yFyfjnEuq+243B4MSbHoRG8mGsaqS2p\nY/f6HFIHpRDxmx4ZR/PZG2v58u0fKC+uY/eWfPbZLXz+Uw6Nbi+qPgmEKzR4UdNQa2PXpjyiE4wk\ndIsidWAKXdISKThUi0ujw2ZxodIoiY6P4NaHL+PCq7LoPiCFvG35OO0uGiobyV6zG61BS2pmSqvX\noiRwdzKOEqPPBC2dYymDuxOy96fcYFnrqqJq9mzc2+Lc4dOG8OCy+4IRLgOzevHAq9cG7zz7j+hB\nclI4zkBYqcPsoPvAbvQd3QeAXgOS6Z5qwh7okW1vtLN34z4aAnffbpsLjU/AFiiD7XF6UdvVmO2i\nsO32+dGVWLGWi8Kz1+VFXhxCY7W43ecVqHGGURnoN+1DoLbKSGVDIGMbkJU1Yi6uEd+QAMboBnya\n6uB7tIYJVNIk2jbo5VQJTUK41WKloaQmOPbk1WM/1CSkmwtrMB+saNq/0kxjdZNQ31hYha20aX9z\nfiWX9uiCRqVEJpMxd9EVLHzrNrT6pgZK+3YUBZc0ig9Wsn9nMYEW3TQ2OvD7BYSAcF6yv4y9G/dz\nInK3F+Jxi8J6dVkDu/LLcQVKpZtdHtRhBtxHSp1XW9i3rTC478ALB5A8qCeuwI+6w+oitW8ivTPF\nu+j0rDRSB3XHERDqbY129myUWiJLnBySs5CQkJCQaBVJs5CQkDg/+D1EQ7UxculMIDmLTsjASf04\nvK8Et8NNfGocAyb0a3Huhk9/Ys2H67nqoVnBcty/ZcvXv3IouxBdmBa72UGoUcfBbYeCImf2ut3k\nbjlIaEQotnob2jAtLqcbfaQea52VEIMWlwoMkTosdXY0ISp8+6qIHB1Hnc9DiEKBT6UiLNaIubIB\ntVaNz+cnPFxLY6MDlUqB4jBEd9dRrbCjksnRRDmIModSU+9GKZNBVDjG5GgaiquRK+TY94aiqtXg\nMdUAMvT1cuIELRUyBzLA2OBDiZpKxKUovV5PRJco6g+LS0l6kwGFSU9jrVgcMCJCh89tpKFSXCrr\nNy4dhVLJzjW7ADDGhoMg0FAlZoinj0qjx0BxPd/v8/Pvhz+huriaW1+ZjyFC7JrXb1gqP32Xjd8v\n0D09gbikCDav2YvfJ9AtLZ54fSKbvtyE1+0juW8X+k9oypxe+fUOtu0o5OYbx5OYGMF/31pF7aEy\n1GolbreXuC6RdOvThbV7C3G4PMSbDAxIjmBrTTZ2qwuDUUfO1kPs31kcXGrKHNWDA9lFWBochIaF\ncGBXMbs259F/RA+2r9rJga15wSz9sCgDAy/o3+I1tf+Xg3z86GdMum48l/+x7TkinZ7OGg11UhFO\nbYtcOhNISXntSHsmMP342U/89MUWbnj2WmKPI24DLH/pa5a/9DVuhxtjrJHrnryKEdOGNh3j4w18\n8MinwexftVaNy+rCaXcRGq5j4EUDyF6zG0udFU2ompDQENwONw6LE7VWjdZkwNUlFptOiwaBMLML\nT1kVltJqiDPgm9OfkAIHwp565H4fWr8TT3wkltBQZDIID9fi8wlYLE78OgH/7BA0UTbQ1CK4FPiz\nu6IslOE9aAWPl8iyKuQyJRa/EnmIj/6LHViqDexdZsSvkOEdo0db6ULxXSWCHHwXJaB0CPBDOQgC\nBr8TmUKOWVAjk8kIj9Qh2O3U7SkAwBhrJPOCfsx/7jpkMhkfLPqY7f/bSW1ZXWB7OGkjenPbP+aj\n0qjw+/z8/cZX2fZfMektZUBXFr71R2K7RiMIAiv//RNFueXM/+s0dPoQvv14Ewd2HWb+A9MwhGv5\n71uryPlxHze98AeMMaKw+t4HG/h+VQ5+v0BsbBg9vG5+Xb4Zr9tHWNc4Evt355bFM4lNiuTH7Hz+\n98t+br1sJF1iIti2IZclr66mrsqM1+0jPFLPNX++iBGTREeUs/UQH774HfXVFlwOD/owLf36xbL9\nqy3YGu1odBpMCRFc/8y8Ftupblm5lQ8WLaEh4Pivun8GFy+Y3C7XdHvwu0zK6+Ae260hJeWdY4yZ\nncWY2S1nCgPs27Qfd6CsdUNlA7k/72/mLHZt2BssU+2wONEb9TQG7p5tjXb2bz6IJVCa22VzExZp\nCG53O9zo05KxCaKs5UIGPqfoKAAqLMStraDeLqq6frkCRVp36tyBHtkCyGQyLIHS5HK7jKhqF42J\nYs9smcaHUWGh4WBANlMp8SUnYCsSf7j9TgX7Xk7ArBEvUbkPItaYgxncMj+ErK9uyuCWyXBp9Xjc\nvmBzIXNlI57ikuD5aKhsYNodl6BQitU1Z/x5Kus+2vCb7Y1MnDcWlUYFgNftZf+Wg8HtBdlF7N98\ngNiu0chkMqZfN7rZ53Hp1SO59OqRwfHkmy9k8s0XNpuTm1uOP1DavLLSjC/vMN6AsG0uqmDqvFHE\nJolhtmMGpDJmQGpw38Fj01j75XaqSuoBsY/6/h1FQWeRMbQ7XXrEUlEsnkOr2UHuJjGsFsBld5Gc\nkXzCvtv7Nh0IPoG5HW52/7ivUzkLibOHJHBLSEhISLSK5CwkJCQkJFpFchbnMIMuGkBouNhzOqZr\nNJkXDmi2fcSUwYQF1h8jEyIYPDlTFHMR1+8HTx5IZLyY3KML0+JyuNFHhAJgMOkZMiQluH6pdTrx\nVtRhMIkCryZUg7uqFr1CXEJRyXz4dudhNIv5CwqdEptJiS5JnC8YFVSoDAi18QgCKJAjH+gkcrof\nEBD0cion6/EEemrLFTIGDkyhV6+44PtRRYSi7xWDAPjlMpQpJvS9Y8WxDNSpUcExQHicEVP/Hs3O\nlyleXOLxuL18+s91RGb04Mi6lalfD/67fCd2qxOf189H/1hFSLckZIFlK1NGKj9tyKOx1orf7+ej\nRz/jqdkvUFdehyAIfPLkMp644nmqDzflbBxBEARWfPAjzoNVqAMyYUSjGb/TjSqw1GYY1IONpRYO\nBQoRrvlyG4/e/C55e8SltB9W7qC8qIYQndjBLyreSGZWU1DDpq9+IX/1NkLk4mcSEW1g8MWZGGON\ngc88nEFHXSNHM+jCAcEEUF24juFTBp9w/jmFvRysxZ3vn72ckpLDFBQcwuc7/UZGZwpJ4G5H5TGl\nvQAAIABJREFUzkaFzu2rdvL9O2uZ9+icY8qCmEyh/LhiGyte+YZZD8wkNTOF/VsO8MWLK5l573R6\nD+tJ/vZDvHnXu9SW1eOwOFBr1ZjiRRG037i+FB+u5bXFn1H30z5s9VaUGiW6cB0+t9iaValWoI83\n4bU6sNZaUCjlaEamYe8bQ6PdhVwmQ29U09gDan1OZEBKopfwGAtmn3iuQgqjqbSGU+MXEwe7Nai4\nPjyNS64eicvl4W8v/5fCwhoaAomDRq0KmVIRbN1q1KmQyRXBfhYRIUpU1fZgNFR4uIaBmQlc/8TV\nyBVyXE4Pf7t3Cfu2FwEQFqYBQcBsEfWfbmnx6PQa9v5aKG4PDwGfD7NV1EeSe8ai99jYtWY3AF3S\nEjElRbJztThO6BnP7f+8pVkp8Pee+4YfVuzA7xcwRIbitzZiOViK3+vHEKmHtGQsoTp8fgGTSU+f\n6DB2rNmH1+MjIspA74HJbN+wH7fLi04fgikunAWPzKBLagwA3735PUufW47T6kQbpiUqrSu3PHsN\nqemJHNiaxxcvfMXld0+j9/BjI+aOpuRAKf95+FMuunEiF16V1am+Y6clcA9/BkJi2tGadkQXA44q\ntjw3+KwL3ZLA/Ttl0IWZJ6zzk56VFqxnBNB7eC8e+Oye4Dh1UHdSB3WnZP9GQBQ1E3sn0G+cKJom\ndzHRNz6c/9aLP7xelxeVSok5IIR73T7kHi/WWvGJwuf1Q6iCxkCGt18QcJvk1PrEH3oB8Ub+iKMA\nsIfLqDE3lUp3JWi45DJRKNZoVIwc1oOdO4uD250COC1N8x1ePy53U0kKq9WNvLapp3aj2cX0hVOR\nK8QHaUuDnf2/OZ7Z7EKpamopWZhbjiZE1bS90UlIqDo4Lj5Yibq2qQz54dxS6quaSqeXHSxn/+YD\nzZxF3u6SoLBtqbNhcNrxe/2BsZVwUxg+u/geamut5FeY8QYyuOtrLBzcdTiYwW23OsnK7Bd0FAC5\nWw42y9JPSTEFs/h7De3B/Z82featkdQrkfs/ubvN888ZOnttKNmJ25qebaRlKAkJCQmJVpGchUSr\nnO2VSqEdMqmaHeMcWHk9eQtPbo+z/ZlKnHtIzuI8Z9t/d7Dv5/3iujkQHh3GkEsHBbfn/LiX7LW7\nCYsWq62GhGmxxYcRligK4yGhGrxuN+Exge36EEb260ZKQEhWqxSE5tuJ9YmVLDUyOcIBDUa7KLQr\nUWAocBPnEberZHLGJnULvn5dlZmNS7cSGSjiJ5fLGDiwKxl9kwBxSWvgoG7079eU/arXqTFG6YNj\no17FRw8twe1w43Z5WPLaasIjm7b3H5nKwKxeEMjP6Ds0hcysnsgC344+g7oyMKsXcrk4offArgy+\nOBNFYOmq19AeDLpoIEq1OO4xuDuZR2VIDxrTK7i0FW7U4vf5UGvFpa3k9C4MG9odrTawPVyLW6UI\nCtnxySaGTEhDH6YFIDYpkkFjmrSHHz/7iYLsomCwgz4mjB0eN5v3FHI8dv50gIdvfJufv9993O0S\nEsdD0izOY9Z8uJ4lT36OvcGOKkRFQs845j93HX1GiRrHz19s5oMHl2CptaBUKQjrGoU5I4FGUyjq\nriZitxfjrbNhrrEiU8iI6RrN3IeuZMS0odSb7Tz97vfUbi/Bk1ePYbsM9ZwklBUC/n12ajeqiJgb\njmynH9tXNvQqO92uSuKKiUOY3SsDgNKCal57aBklh6oRZBCVFseF0wdx2fRB+Hx+3n73B6Ki9Fxx\n+VB8Pj9vvrmWnC15WA9UYQfCInQINjs1Ow9QsxPqKupRxMeTv0dsMxoepWf4+DSuWngxcoWMZW+t\nx1xv47p7LkGhkJP4XjQ1FY1c/3+XolDK6ZIaQ2lBNTf8ZSpqjZLk9CQKsou4+cU/oNFp6N6/K7lb\nDnDz365Hq9c2O9dX3DKBmKRIvnh9FVU79iN4fegjQ+makcxd79xGRGwEfTLz+PSzLZRXNCAAhpgw\nuoWquWPxTGISI+g3LJVVn//K1QsvJD7ZBMCKf3zLl39bgcvuJiQ0hLDUGGr6J+HQK/nbJ+u5/tLh\nXDqyT9CO9V/t4JPXV2O3OHnv2W+pr7Yw5ZpRZ/5i6wx09tpQZ7HuU1uQnMV5zMGt+cHS5B6nh6Te\niUFHAbD/lzwsAeHa6/HhG5hMY5j4BOAOVSMkGrEXiBndgk/AGGsMZpBHhOnIMppYlifevSrsAnEb\nHFT7AnW8XQr4QImtUMzoVngE4lZbmL0go8m+nMOUHBKPLxNAVmFh+rRByGQylEoFC26ZGJyrVCqY\nOLIXWz7afOQBAUtV8wzuvB1FKOv8wXFjjZVL5o5AoRQfIa68ZUKz8zPjxrHNxlOvbZ5RP2XBxc3G\nF82fxEXzJ9ESYy4dwLcvfoEQ6PFtrbMx4Ka+RMSKT2kjhvdg1eocygLl3i346T2hDzGBp7j+I3rQ\nf0SPZsc8uDUPl12M4nLanChGDsIhF5eYbE4P+wormzmLgzmHsQeCA1wON3k5JZw3tFdtqDPSrQ7O\nZt2ntiA5CwkJifOD9oqGOovd6s4mkmZxHnG0qNnauL2Pd7Kv15b9T3SMY7YcNb+1/U/FpjPN6Z4z\nCYlTRXIW5wkbP9/EXy94lC1f/wrA5pVbyd1yAEOkmLGtC9dRkF3Ehk9/Cu4zdMog4rrHAmAwGRiT\nmUpSjJgNbKh3ICuoJTxGTODRhGqoK61jxT++BeBQdiE/f7Aag9yDIAgo8SPsKySitgEEAZXbjfxg\nEQbcCIKASq1gyPimJbCqajNrfy0IZmzLBD+y6ire/b8P8Hq8NFQ18szcv/Gvu97F6xbzD7r1jmPA\nqKZlmvC4CEwDegYztI1ResJ8dvw+H4LfT7jfyX8e/AhrY+tJZz6vj7fv/YCnrnyB2tI6/D4/7//1\nPzxx+XNUFR2bsd0Sw6YMQRNoW9m1XzKDJw9stn3M6F7oAsJ2UmIkQ4c23b2u/uJXHr7hbXK2Hgr+\nbejUwcGKtgaTAcW6XCJqxPcTWWWl+LXv2bJya3D+kHFpRMWHB8/H0PFNS1QSEidCyuBuR85GBveJ\nOGLPN//8L58//xUumwutQUu/CX3ZvW5PMGNbZwjBaXPhtLnQaNVcfvc0pi+cAkB5fgUfLf6UyTdf\nQMbYvlTUmnnxqaXUf5ONvd6KQilHH6HH5/FhbbAhV8gZeGF/CnYVU1dWh0wuIywxCr/DiaXGAjII\n7x6H3+LEEkhki+qRwOX3zWTCZWIUVmFRDS//43vKysTqqhF+P/J9hTRUiOO0ET2xWxwUB8pgZIxN\n576P70KpUuL3+Xn3ua/J/jk/mMFt0Cvxl1fRWCW2Wg2Pj0Qmk9FQJuolKQO6cd9HdxEeiPg6Gr/f\nz/PzXiE70P8iKS2R8GgDe37MBSChRxx3vrmArhltW+L46cstbP36V+Y/dx0GU/NsWZMplO+/z2Ht\nD/u48Q9jMAW2f/7mOr79eBNejw+DUcu8uyYz8iJR38ndfIC37/2A6uIaPC4PGn0Iyq4mPAXVuO1u\nQvQhzP7rTCbPvwCAw3mVLH1zHdOuzaJn/xOvu3e2a/q0MrjHvwu6+NM3wl7eKTKtzxTnTAb3mjVr\neOmll/B4PAwcOJBHH30UtVrd+o4SLZK/vQCXTcyodlgcFOwowBEoHe52uAmPMgQb/7gcbvK2N925\nxqfGce+//xQcx5nCyDTo+SaQ0e3z+lGolDRWi/v7fX4KsouoKxd/2AW/gMztFh0FiGtDZjuWwHwA\npeALOgqAgwcrgo4CwG224qxoGhfmFOO0upre384C3A43SpUSuULO+GmD2LAyO7i9sc6Ov6qpJ3dj\nuejEjlCQXUhFQUXLzsLnpyC7IDguyS2lrlwXHJflVXDg17w2O4usy4eTdfnwFrcPHpzC4MEpzf52\naG9ZMKPb0uAgL6ck6CzSRvQisVcCZQfFaB+X1UmY2UX1EeHb6iR/2yGYLx6rS49Y7n5+bpts/V1x\nMgL3CUXszi1Enyk6lbOora3l4Ycf5vPPPyc+Pp5HH32UN954g4ULF55t0yQkJM51TkbgPk9F7BPR\nqTSLjRs3MnDgQOLjxUfFOXPmsGLFirNslUTrdLDI28p2v9/fyowzj9/nP+H4ZOef/GrxObu6LNFJ\n6VTOorKykri4ppLUsbGxVFZWnkWLfh8Mmz6EyAQxozoqOYqRM0cQlRwFgCkxklFXjCCmm1iWOiLO\nyIjLhrZ4LIBh04bQJU0sUqcL0+JxeQgPlD7XGXWMnDGMlP7iY7rWoGXk5cNJDfS0DtFrGHH5MHoO\nETvAabTqZt39AAYP6kZ6HzE5SamQowozENFFtE+hlKPRajDGia8nV8gZMX0oIYEMb0uthc+fWEq4\nIVAIUAYjJvdn2LQhweMPnTKI4dOGBDO2h1wyiK59W77jVCgVDJs2JJixnTE2nRHTh6IMlBbvM6o3\ngy8WhWq/38+/H1rC4mlPUbK/FL/fz8ePL+XhKU9SuLvomGMLgsAXL67gwYsf48DWPEBMtFt00WPs\n/UnURL77ZDPlRTVo9aIwntAtiqETmwvTI6YPDZabN5gMOO0u9IEs9eguJoZPP/FnKiHRGp1K4H7z\nzTeprq7mwQcfBKC+vp4JEyawc+fO484/ldDHM4lMJuu09hzcfoiPn/yC6x6dTUpGMvm7CvnPo59z\n9aKZ9BzUncO5pby7aAmz77uMPsN7tnrsmtJaHp/9Nw7nloltO2WQkBrLrS/8gRFTB9NYa+HVO95h\n7KyRjJk5HEuDlVfveJcR0wYzYU4WdouDV/74FoMvHMCF14075vhut5cnn1zB/s35WAprEQSBML8D\nweGkoVLUH6ISI5l220XMvf9yAOrK63lw2jPk7ywEILpfKpOuGcP194htQd976BMQBG544ioA/v3o\nUpw2Fzc9ew1yeev3TV++8i1Fe0q4/R83olIrWfnG9xz4NZ87X52POkTU1Z6Y+3d+/HwzAHEpMST2\niGPbKlEYj+kaxb1v38aACU2Jh6/c/jbfvrUawS8QGW+k1+BUfvluB36fH2NMOH2nDOfXn/Pxef1o\n9RoSu0Xx11fmERtI1PstuVvzeHH+PynPrxSFbp2ahNQ4/u+D20nt363V93c8Ots13ZbPqSVOqge3\ntZgDL/cgNTW19bm/M1o6x51Ks4iLi2PPnj3BcVVVFbGxsS3OFwShU0VqdLbIkd/aE9k1ljv+dRsA\ntbU2jInRzca6aGOzcWvIQkLoMbQnuVvEu2EE0EeG0XNkWmB/OQtevfk3x5PxwH8WUltrCx7/5pfm\nn/D1+qdE8+snv4ivJ5Phlqmw/eZJ02FzMubqccH99/5aEHQUAHW5hYye/Efq6sQs9cv+PF38e2A8\n5c4pJ/WZjb1GdGpmiwtwMWpWFqNmZWGxecAmlhc/sK0pOKCioAqHtamUelVRDdt/2EtS/ybxOveX\nPIRA6fK68gbyswuCS1ANVY0czCkVy74DDquL7umJKEPUx7U5uns88T3iKN4rRom57G4S05IwJkaf\n8nXZ2a7p04mGOqlyH/Zy6usTOtV77yjOiWio0aNH8/zzz1NaWkpiYiJLly5l0qSWyydISEhItJm2\nRkMFIqHOx4inE9GpnIXJZOKJJ57gtttuw+v10qtXL55++umzbdZ5i8/rQ6E8QUOWVrKFj97f5/Ud\ntd0frMt0/PmnKVSf5OqJIAgIfiHYJEkQBPw+/wnPQWvnSBCOFqpbM+Lkth/z+kdtFzqB2N9paGs0\nVCASSqHo3M2IOppOJXADjB8/nhUrVvDtt9/y0ksvodVqW99Jot3Z+t12Hpi4mP+9s6bFOSMuG0Zy\nXzEOXWsIoaakli9e+ApBEDiwNY8HJz/Op08tQxAE8rcf4k+jFvHxY0vx+/0UHSjnsVvf5T8v/Q+/\nz0/J/lIenf407/7l3/i8Psryyln35neECS4xA1ylYOT0wQyYKK73K1QKRs4Yjlrb1NGu+4CuDLlE\nFJplchmjZg5vMXfiaFx2F6/c/E+euepv1FfW43Z6eO32t3h69ovUltYdM9/r8fLWPe/z+IxnKctr\nWt4YOWM4mkAGtjHWiEwmD9rYc0gqw6cOaXackZcPD5YWT+nflYnXjA2Wi09O70LWJf0IC/RFT+oe\nzfAL0oP7/u+dNTwwcTFbv93W7HimJDGYwWAysH/LATZ+vqlN50BC4kR0KoH7ZJEyuE/Mqdqz7qMN\nfLT4U+xmB0q1gql/nMzsB6447tyGqkb+fsOrlB4ow252IJPL6D++L0V7SmioFDO0+4/vS8mBMuoC\niXYZFw+i2uqjtkJMzEtLj6NqVx5VRWKF2bSRPWmobKTikNi61NQtlsv+cgUXzByCz+vjgwc/Ji4l\nlktvvegYe/x+P0seW4ouXMuMu6Yhk8mOmXP0OSovbeCpWc9z4BdRf0lKSyAkNIS8gP6Q2CuBP797\nOwk9m7J/n736pWBGd2xKDHe8cSupmaIW8eNnP7H02eXUlIgZ4voIPd0yuvDn9+84pnQ5iH3UNy7d\nzA3PzKNbz1jWfr6FHz7ewHVPXoMxJpy92wtZs+xXrrnrIiIDzu+zZ77k69e+xev2oQvTcvXDs5l4\nraipFO4u4vU73qKyoDoodF953+VMue3iY167NTrbNX1aGdxtFbitxWxZfP7mWJwTmoVE5+DQzkLs\nZjHD2+v2Ubi7uMW5xphw0rPSOPhrPiBmbB/eVxp0FADF+0qCEUwApYeqsfibLr2SfSU0BByFOC7F\nGiidDuBzurhgpnhHrlAquPGZa1u0Ry6Xc83iOW19qwA4rQ4KdzWFtZbklqHRaZrsPVBGYU5xM2dR\nvKfpnFQWVHFoZ0HQWYyZncXyl74JbrfWW+k/od9xHQUc20d9wISMZhFT6YO6kT6oW7N9CnOK8LrF\nZT272cGhXYVMRHQW3fp1Jal3EiW5ZYAodB8vbFdC4mSQnIWEhMT5QVujoTp5E6KzheQsJPB6vChV\nTZfC0RnQra1T+o7OTj5G+D7x/seU1T52QisWHGWP149MLgu2QT0SinpEuG4LJ+r73bb8nqPf04nn\nH/0ZtMaRcNsWXu7Y+efuanP70Vo0VLAe1GApEuo4dDqBW6Jj2fj5Ju6f8DBrPlwPwKavfmHXupxg\nT+3I+AhGXzmyxf2z1+Xwy8qtGAMZ3IZIPWPnjiZ1kLjeG6IPwe/zExEnljbXhWkZMyWT3gNEYVwd\nyII+sl2jUzNmThb9xvcNbFcxZnbb237W11h44Z6PeeWBz7BbnVhqLTw/72Ve/MMrWBusx91HH6Fn\n9JUjkQcis4yx4WgNIcGM7UEXZzJgUj8APC4Pbyx8B2QEM7gzxqUz9NLBzY45etYoQgIZ172H92L4\ntONnUAuCwKdPLWPRhY8GM7Zb47uPN1FSYUNvEoXwhJ7xZF0xotmcMbNGEhPI0o/tFnPCz/C8wTQA\nYoe3/M80gKSkLqSkdJcioY6DJHC3I51NDGzNnu/+9T2fPf0FLrsbVYiKjDF92LdpP06rC7lSRlz3\nOG57eX7wh/9oNi3/hfcf+A+WOvFHODYlhuufnseACRnYLXb+9odXKdpTjC2gP8SmRHP1I3MYeskg\n3C4PL9/3Cfk/78VcLCbaRSWZmHX/5YyZNQqvx8uHiz4mJTOFCVePadP7ra1q5MW7lwRbsSanRuEp\nKedwIEmtW/+uPLjs/9CFNVWM/e05+uqVb/j+3TXUB9qahkWFMWBSP279+w3Bp5KnZr1Azoa9ABhM\netJG9OLONxagVB/7VLDpq1/YtXY3NzxzLWrt8Ssn/+vP77H+4x8Dr2fgz2/cQu8xfVt8j5++vprv\nlmzG7xNQ4ycuQsWf3riF6C5Rx8w9nFvCFy+s5Mr7ZpDY69RKc3e2a/qMCtznubB9hJbOsfRkcR5T\ntPtwsH+zx+mhJLc0WPrb7xWIS4lt0VEAFOwuCjoKgPDo8KAwqzPo6DumT9BRAIQadAy9RCxFrtao\nyOgbF3QUAHKlnDGzxKcIpUrJjc9d12ZHAVBV0hB0FACHc5scBUDhriIaa8zH2xWASdeNx2Fpyrg2\n15gZMjmz2fLV4X1Nx7PUWhkwod9xHQXAyMuGcevL81t0FEcfz1xj4eCOghbnAhQfrMLvE+/v3Mjp\nOSHzuI4CoEtaEn96+7ZTdhQSEr9FchYSEhISEq0iCdznMUeLrscuSLaqmp7UZr//6Nc7sUjrcXtR\nqhSt5kr8nvCeZNb6ObuGfDZoLRpKioI6IdKTxXnM2NmjiE8VS8LHJEcx6Q/jg0sWUUkmxs4ZfcL9\ns64cScoAMWokLNrAuLlZzbdfPoxeQ8We2CE6DeZaMx8s+jgYnTRi+lDSR4t9t0P0Gsb+Zv/DeZU8\nedsH/Ovxr/AEemy3RmrfRIZPEjOc5QoZY2YMEYVfmZjRPW5uVotLNiCK72PnZKFUi+Lm0EsHkTG2\nuX4wdm5WsMLsgIkZDJ0y+JjjnAxj52YFM7Yj+6SwaUsxuzbntTh/9JT+RAaCD5JSoxk9uf9pvf55\nhaMKbOVQm82ym3xsWZzQ/N9zUhTUiZAE7naks4mBbbGnsrCKz57+ghl/nkqXtCSqD9fwyROfM+2O\nS+jWr/UvjrXBygeLPmbC1WNJz0o7ZrvT5uJv1/+Dgl2FQf1ixPShLHxLrHDrcXn44K8f0XdsOiMv\nGwZA/p5SXnv4C2oCQnPfoSn85eV5bXrPgiDw+b/WE2oI4dKrRwb7RSiUCi7705RjnlKOd47+9/Zq\nasrquOrBK49brnn9kh8p3F3EtY9ddeLaWW1k9w97eP+F76iuFRMh9WFarrt3MiMuyDju/IJ9ZXz3\nyWbm3nkBkVFtK2dyqnS2a7pdBG5JyD4hLZ1jyVm0I53ti9VZ7Pnq5a/59KkvguMuaYk8+8PjLc5f\nu3wb7z/3bXBsjDLwyoq7zohtneUcPXbLu+TllAbHU6/NYvZtE8+iRSKd5fwcQXIWZx4pGkpCQkJC\n4pSRnIVEByA74dDt8jQXu48jtLfnA7DP68PraVkH8fv9eFyeFrcLgoDb2fL2U0F29EmRpOv2x14O\n1mKwl1NSchifz9f6PhJBJGchccYZNXM4fUb1BiDUGMr4a8YGt+XtKeGxm9/jnae/xusRv7zDJvZh\nwChRGFerlfgbLby64E3cDvdp29JYbea5a17i2av+Tl1F/THb7RY7f7/hNZ684nkqC47t/+52uHn1\n1jd57LKnKd53+LTtOcKYaZmERYqlyFPTE8iaPKDdji0R4IjALcAVL1dQXCwVVzwZJM2iHels67ud\nyR6308Onj39Kv4n9yZwkRvDs3VbAm49+RX2NBYD+I3tw74tif2yf188bD3/O7tU7MRdVAJA2shcP\nffmXUw6ltTXaeXzGM8G2o0m9E3h+zSMIKrHfhMfl4fHLnw2WJo/rHsO9H/6pWbXZxy9/ln0/7wcg\nKjmKhW8uoMcJEhdPhtydRWxZlcOs2yah04e0yzFPl850DUE7ZnBLukWLSJqFxFlFHaLirjduDToK\ngMN5VUFHAVBeVBP8v0IpJ71vXNBRAJTlVZzWcpS13hp0FAAl+8uoKa0Njl0ONyX7y4LjikNVlB4s\na3aMsoNNsfo1xTUU72m/p4u0zK7c/czsTuMoJCR+i+QsJCQkJCRaRXIWEm3GaXO16/GOSeD2+5s9\nORzvGeLoLPDT5bcLWmKy4NHHP1qcP3+yySUkfovkLCTaxE9fbOb+CQ+x9Jkv2i0yaeRFGfQbngqA\nWubHeaiY1+94KxhpNGL6EAZPFntqq8JDUXVJ5PWHl+E4RacV3UXMUleoFMgVcsZdNZqU/mLioaXO\nyht3vo02VIsikME98rJhzTrWAUy6diyaULH0+ODJAxl+2fFLj0t0Qo5EQwUioiRODsXixYsXn20j\nThVBEHA42jeE8XTQ6dS/S3tWf7ieD/76EeZqC7lbDmCusTDwwpOP1jnanhCtmuEXpHN4TzHVOflY\nqs0c3ltC/vZDjJk9CpVGxYjLhlJV0UijV4nZ7KSssJb9O4sYc+kAZPKTu8uXyWUMunAAGp2G9FFp\nXP3wLPSGEBpqrTwx83lyNx/AaXNiMOoZMyeLW1++8ZiGROlZfYjuEkVMchQ3/+16NCeoKHsq/F6v\nofYiNFTT+qQWePSf/xMfZy2HWHZPChkZ/Y+boX++09I5lgoJSrRK2YEyXEfu5gWoOHRsSOmpolQq\n6NMvkV+WrA/+reI3IatyuZyMSQPYvHll8G/lxbX4/QLyU6y0MWXBxc3GLruLst8I2eZa0Rm2FHWV\nNXMEWTNHHHebRCfGNCCYwZ2UlCA1ODpJJLcqISEhIdEqkrOQaJXWNAqH1XG6L9B8eEw2c3OOvuN3\nO9z4vKeXjXv0MSUdW0KiOZKzkGiVideOo3tmCgBRXUxceMOE4LbNK7fywMTF/OeRT/D7T64XwxGy\nrhwR1EB04bpmxwcYNjGdoePFirYarZpJlw9GEeiXXXKgjCeueI4Xr3sFS62FU8FgMnDB9RNQa1TI\n5DKyZo2k7+g+p3QsCYnfK1IGdzvS2bJd29Mea6ONjxd/xsU3X0DX9C4AbPh0I+//9WOcVrEV6dg5\nWSx4Zf4p2eP3+fn48aX0GdErGAH1WwRB4PM315PUPZqRF4kRSqUHynh+3stUFYmtVLv178riFQ+c\nsI3piWxa+58NNFY3MuOuqWet4dLv+RpqD04rg3v8u6CLB3s5W54bLGVvt0BL51gSuCXahD48lFv+\nfkOzv5UcKA86CoCKgqpTPr5cIWfe4jktbpfJZMxa0PyJo6KgMugoACryK3A53CflLH7LxHljW58k\nce5Sl8OyhTEkJUlNjk4FyVlISEicHxjTSErqIj1RnCKSZiFx6pxsz+52RirqLSHRcUjOQuKUmfSH\n8fQe1hMAU2IkF990QYe+fv8J/RgzOwuZXIZaq2byTReijwjtUBskJM4XpGUoiVMmtms0D3x2D/9+\n5BMmzhsXLJ3RUSjVSha8ciPxPWKJjItg7JysDn19CYnzCclZSJwWaq2a+c9dd9ZeXybutvt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"text/plain": [
"<matplotlib.figure.Figure at 0x1233c56a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"valid = np.isfinite(fret_2cde)\n",
"print('Number of bursts (removing NaNs/Infs):', valid.sum())\n",
"g = sns.JointGrid(x=ds.E[0][valid], y=fret_2cde[valid], ratio=3)\n",
"g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n",
"#g = g.plot_joint(sns.kdeplot, cmap='viridis', shade=True, shade_lowest=False)\n",
"_ = g.ax_marg_x.hist(ds.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n",
"_ = g.ax_marg_y.hist(fret_2cde[valid], bins=40, orientation=\"horizontal\")\n",
"g.ax_joint.set_xlabel('E')\n",
"g.ax_joint.set_ylabel('FRET-2CDE');"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of bursts (removing NaNs/Infs): 1486\n"
]
},
{
"data": {
"image/png": 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bPs9VPigPZGAe9s+zwyuLefPm8fbbbxMXF8f48eNZu3Yt77zzTqUH\nKKrHoHH9MRlN1u24c5c5f/CizWMuHsn/ZZUQmUjEsShrc0lSTDIRxyIxmyw3pFxO5Vyh5184dAlj\n3nrSV5MyuFB4/ydi0OfNd6TNyObikQhytJbRyroMHRcOFdrfwYto0y3dRvXZeiKORFjXozboDTip\nna3zIxlyjUQcibCOVjYZTFw4HGH3fHj6uNO+S2NrogC4dMT+4x1xcnZi9MxRDH3l3mKbg5RKJf3H\n9LMmCrAUuvuN6oNKpUShUND/kR5kpWYUuP8q3e7rYrPGd8EY485dJuJ4lHX7ysV4zh2wPYdCVJTD\nZPHnn3/y4YcfsmnTJgYPHszXX3/N6dPFNy0IIYSom0o1ub2rqyu7d++2jq3Iyclx8AxRWa7NSFpa\nJpOp2MFgJSnSEFm4UOzomA6OV3j/5sKvp9D9Ba98SnP8a1c59u8v+fxVtK59bZbYawq/Z4W3zcaS\nD1ia97us74lBb3C4TyFK4jBZhISE8Oqrr3LhwgW6d+/O5MmTadq0Yu15p06d4pFHHmHIkCE8+uij\nxMTEoNPpmDBhAgMHDmTQoEHs3bu3QseoC1KupDJz5BzmPPEZmemO2451mTrmjvmC6Q/NJikm2e7j\nej3Yw7rmdXiftnQZ2BmwtLcvmbiC7Kwc1HlTibfu1pLbR/TEPa9Q26JLM/qM7IWnr2V8hibIh39+\n2c/xv09Y93/bg93RBFqmBg+9qRE9H+hqvW/Dl5u5+O8ZPL0tU3d7+7qjy8y2LtfqXc+L0/+cZcd3\nf+fvb1h3QvLWvK7X0J8+I3vRIG9QmYevB9mpafj4WuLT1PPk9od70ThvHW93bzeSopP4YcZPdgvX\n3e69lVZ5Y0LcvNy47aHSDziNj0pm5tglLJj8A/rsXBKjk5j+0GzmPW2Z/r3we5ieeJUVU1bhG6yx\njMBWQI/7u1oHyWkztHz12te4eblZp3+/eUCnIiOuez3Y3eY97D28p3X6d98gDX99v5tLRyMxGU0s\nf/Nb3h74AecOXCj166pztJchM8rxf9rLxMREc+nSRZvVQUUpCtxarZatW7fSuXNnGjVqxLfffsuQ\nIUPw8CjfYC6dTsddd93FJ598wq233sp3333HX3/9RZMmTTAYDEyZMoWoqChGjRrFhg0b8PT0tLuv\nulzgTrmcyowRs4k5bZm9tXH7MN5eNxE3z+LXR9Dr9Lw/9CNrfSCkRX3+t3Eyau/iz99fq3Zx8UgE\no94fYZ1G++PH5nFw82HA8iXc4uamvLzkedSuzhzYdIj9Gw/y5IxHcXF34cj2Yyyb/A0JEYkAePl7\n8uTMUXS7pwsAZ/adZcvyHTz23sPWqbV/nv0Laz5Zj8lgQu3ljmdIAFcj4jDk5OKsdsJD405GWhZG\nvRG1qzP3v3qvdRnXhMgkVv9vDfe+OIiwto1IiUvhkyc/I+ZsHHqtHqWTipCOLXj6w+G06BhGRkom\nnzwxn6iT0egyskEBfUb24plPnrSeg4Lvl16nZ/mb39LxznDrVOiORJ+7wvzXvuNKlCUxh7UIRBsb\nz+Xzltlew8JDyc3JJe6spdtmozYNMZvNxJyOBcAn0JteD/Xk4SnDUCgUeLo7M6HPO1zIqzd41/Pi\n5gGdGDPrsWJX0Ptz1U4uHYnksQ8eRuWkYvfavaz+31qSYlIA8AvxIzCsHqf3WgZjaoI1jJs72tpj\ny5E6VeDuOgNcA0v3YPdA0CWw76Obb8hCd7mXVY2KiqJVq1ZkZWVx+vRpbr75ZqKjo2ndunwLx+ze\nvZumTZty6623AjBs2DC6devG2LFjmT/fsn5xaGgo4eHhbNu2jfvuu69cx7neJUQmWhMFQNSJaLLS\ntHaTRXZWNtEno63bcecuE30qlmZdWxX7+Nsfvo3bH77N5rbYM7HWv7NSs2jX6ybUeXM83Tygk023\nzw53hOPl52VNFhnJmUQdj7Imi1ZdW9Kq0OJGESeiMeVNw63P0KLSZmLIK3Tn6g04u6gx6i2FZn12\nLtEn89f3DgyrxwsLx1m3/UL8aN65KRfzitcmgxFfTxUtOlquKLz8PGnVtSVn9p2zPMEMsQXOZ2Fq\nNzXPzHnS7v3FiTp72ZooAOLOX0EXm99tNfZsHIac/Oaf6DMxUKCFKT3hKrcP72kthOsydESfyH8P\nryZlcMv/dba71Gqfh3vR5+Fe1u2eD3Tnx5k/W7dT4lIw5uYfP+1KGpHHokqdLOoU/w6l6w11jULG\nWRTmMFk8++yzKBQKzGYzubm5JCUl0bZtW9asWVOuA0ZERODr68ukSZM4e/YswcHBTJ48mfj4eIKD\ng62PCwoKIj5e+osLIURt4DBZbN++3Wb76NGjrF69utwHNBgM7Nq1i2+//ZbWrVuzatUqXnrppWLb\nk0tavB4sU5H4+1fN3EblUZnx+GhsryAUCvD1dbe7f5XJWOR8KZTKMsVzbcDeNW7uapvna7NycC8w\nyZhKads1VKXE9vGZ2bh7uto/nqrQ+6uw/QwoFYX2l6GzWaa08PGVStvz7+ZmOxZIqbK9X5eZXeT1\nubmrSz0CWu2ksBkx7ehpCooWpjUF3tO0xKtF3kM3Vye776HJZLKMTSlwjlVOtkEoCp2jIu9poXNq\n89xa9u+rupX07+1G5DBZFNa+fXvefvvtch8wMDCQli1bWpuxhgwZwrRp02jYsCGJiYloNJYRrQkJ\nCXTq1KmkXWE2m2tVm2pltvEGNKtPn5G9+Hv1bpROSu58rA8KNxe7+zehoN+Tfdn61TZycw3cNqw7\nHfq2LVM8/R7ry7pP1pOVlkXHfu25ZdAtJCdnYcg1smz+Vs6ciGHUuDto1ymMlR/9RpIWPIP9yLyS\ngiZYw47v99KgTSi3Dr6Z1XM3s3/rcYY9dxc9BnUEYPDYu4g8EUN8RAKN24fRZ2QvNi/eyuUL8fgE\neqO9qsMn0Jv0hKv4BHhx9O+TLJ+2hnue/z+2LNvO+vkbuWNUb4a8fA9/freTvev/QxPkQ1p8Ot4N\nA4i6ouPzqWt56IW7USqVdLu/K4d3nODMv+fwqu9PYqaZT15bxaOvD+LojuN8++5qWnVryZMzHuX0\n8Vi+/nwbzVoHM+bFu3FWl/xP49LRSNbOXIePs5E0vQJXDzfuGtGVpDNR7PlpHyonFZ4aDxQoSE1I\nQ+WswsvXExQK0hPTUSqV9H2kN66+Xtb3yNffM/89NBjxa9WY7xbswCPYn0bNbZe01WXq+PKFJcRH\nJvLUrMdofnMzy3v4+B0272Gb7i357YtNZKRkEt6nLbfcY3lPjQYjy9/8luN/neCRd0dwy/8V/bdW\nl2oW5ZGaqq1Vr7+62DvPDgvc27Zts/5tNps5deoUf/zxB7/88ku5AklMTOTee+9lxYoVtGjRgvXr\n17N06VK6detGbm4uU6ZMITo6mpEjR/Lrr7/i62t/+uy6XOC+5rcvNuHq4cKdj/ct1eP/XLWTtIR0\n7ntxEPXqeZY5nsPbjnL875M8/PaDqJws7bafvLuOg/9YetJ4eLnSwEvN+UOWgXsu7s44ZWWQftky\nItzV05Wmt4Vz9qil3qB2U/PwhAH0e9AygvvYvvP89sUmHp7yIF5+nsRHJvLJE/OJOROL2WhG5aTE\n08+TzJRMjAYTSpWSVl1bcO6/8xj0RhRKBa27tuTCwYuWgX0K8A2rTzZO5OZ1D739/psZM3UoYClc\nf/z0Qi5dTCYnb7rtZi3rEXPoAll5A/2a9W1PksmZjKs6ANrf0piJHwyze47OHbjA3KcWkBKXV0hu\n4M+I90Zy2+BOmM1mvnlnNbvX7OVqsmVgnae/B5gVZKZkApbC9f+NvdtavL/m2udn69c7+HXFHtJT\nLPHVC9HwytzHaFggYbx7z/84++95AHyDNbywcBytu7Us9j08/vcJDmw+wiPvPmTtzDD3qS/Yt94y\ntYq7jztPzniUnkO7FRtPbVGhAnefpeBev/RP0F5m7YuBNGxofy2WujqHVLkL3MuXL7f+rVAo8PX1\nrdDcUAEBAXz66adMmjQJvV6Pp6cnn3zyCYGBgUydOpXBgy3rAk+bNq3ERHGjGPzsgDI9vmDBszw6\n9mtPx37tbW5LvJK/dnNWRjZJmfmL8ORoc3Fxyv8Hk52ZTdLl/NHJep2eKxH580+FNK9v0yMpKG86\nkWvFbKPBhNpVbV2P2mQ0kRSdjEFv6cZoNplJikmyjgDHDM4ermSk5k/lnRiTav1b7aamVffWnD7x\nZ/79UcnWRAGQnJhJhnN+U05ifP5o7uLEno2zJgqAXF0O3e4OByz/RjrcEc7vC7dY79em66yFfbAU\nrrvd28Xu/rsP6coPi/K7DifFpXElMskmWVzrWACQeiWN2LNx1mRR+D1s17st7Xq3tTlGQlT+87Xp\nWi6fL8VKctczXYLjwSmFPLAYUNjpFKG9zL6PuKF6SzlMFitXrqz0g3bt2pW1a9cWuX327NmVfiwh\nhChzbyhRhMNkcfr0aZYtW4ZWq8VsNmM0GomOjua3336rjvhEGemzc9Fn5+CpsT8+paJMhUYgmwuN\nuDYVGsyUrbUd8Z+WnInGPz8+fbbt+iiFn194cJTRWHiEs4MR3IXuLzxCvPCI6cJ16vSEdLz8vawF\n+SIFcEXhonLhuws/HnKy9dbNHJ0eg8FoLabqs3OLxKDLyr9yMuQaMBVqPb42N9a113M1KcM6MLI0\nyjBJgLhBORzBPXHiREJCQoiOjqZr167odDq6devm6GmiBsRHJjJjxGw+fGBWkcn7KuKeEV3xq2f5\ncvf1cSVXn4uXxjJi2jfAi1wnF7zzBt75NaxHdrYBb7+8Ed4B3vy34yRbVu3FZDLzzcIdvPnc12xY\nsx+TycTquZs5dy4ZTd6yoJogDVnpWjRBli86TaAP2qsFtoN9yUaNbwPLmioNW4Xw0MsDaX1zEwCC\nw+ox6MneNvHfNaI74T0sI7S9fNzI1WVb18D29PPAcCUZjaulKU3j78k9w/NHnB/Zfox3753O7Mfn\nk5lmqTn0HNqN20f0RKlS4qHx4L6XBtlM8te2ZxvuHtMPJ7UKV09Xhrw8mIHj7sbZ1Rm1qxq/sPos\n/d96Yi/GczkikY/GL+OjcUu5eCKW+MhE5j/zBc7mXFzcnFGqlPh4qfl19jrO7DtLWkI6Hz86F8yW\n0eYKpQLfYA3bvt7BkR3HyUzPYs6Tn/Pu4P9xcMthu+/pvS8Ool5Dyzns2C+cAU/JCnqiZA4L3IMG\nDWLDhg3MnDmTu+++m9atW/PII4/w008/VVeMdt0IBe7Sys7KZkr/94g7Zxk97Bvsy/RNb+Jdv3IW\nqrp09grz31lL4uk4FICzixPuni6k571elcKMm5OZDL0ChUKBylmJh5c7V/OKuk7OKpr2aMnp05b4\nlCoFzYK9uZC3lKnZbMLTrCf9Sn69wSfAm/TE/PqBTwN/skxOoFBiNplpEOTG68uew7+BH/qcXNZ8\ntpU7h3clsGHR12w0GJnz/DKObT1Ibt6vcE2gD9oMHXqd5Vd+YNebeO6jkbRobZl648iOY3w2bhFZ\naZbX2OKWZkzb8FZevGY2LNhMg5YhdLqzfZHjAWxdvh0vPy9rfeK3Lzfz27KdaPWWf3L+wd6gUJKc\nV+PxC/KG1FQSIhIA8Ajyw8nFifQoy7ZPoDfuXm5cvmAZf+Tm5YaTWkVGsuUce/l54hPgQ0ze4Ep3\njTvj543h5v7F9yqMPBnNnp/28dCk+62dGQq6oQvcjhQqgNelYne5C9zXptsIDQ3l7NmzdOrUqUwT\n24nqodfpSYrOH02ceiWVxKikSksWTVoG4242W5tHcnMMKH3y++cbzQrU/hoUecVwY67JpvupIddI\naoEvHpPRTFpS/jTcCoUSF3fbMRnX5j66xsXXh6wUS48lhVJBQOsw/Bv4WR7r4szIVwfajV/lpKJJ\nswAOrstvrlGqFNZEAeCclmZNFADxlxKsiQIsU7Dkx6tw2PngrifusNnu0K89PyzML1wnX7lq0+aV\nHJeKIi2/cJ4Vn4KLe/64lvSEq+QUiFeXobPO2QWQkZeYr9GmaUmILLq41TVhNzUi7Cb7vX3qlHIU\nuB2xFsBvkGK3w2TRvn17Xn31VZ577jnGjx9PVFSUo6cIIUTtIgXuCnNYs3jzzTcZNWoUTZs25c03\n30Sv10uvpdpIoUBZqCmhuKYFewx6g7V5AyzNNpcLdM8Ey4jqwscscZ+G/HmJzGYzuRm2TRrGQlOL\nX5sn6prcQr8EDdm2hXKdg1lBYy7E28wMkJ5s2yXWVKgSbTRhM7174dHURqOR3EIxFpQYnWRTaE6J\nS7GdLVihtBlRbTIZURSIT6GgSFNG4RHYFDpnykL3mwqP4pfluEUlUb377rvvlvQAk8lESEgIhw8f\nRqVS0aJFC9q2bVvSU6qN2WxGp7P/j7e6uburayweF3cX1O5qLh66hEKhYND4u7n32f6liiflcgpz\nn17A719uRhOkwTvAh8/e+J6NX+/E29eD0JaWtl6/YB8unYghM13HrXe1494xfYg8c5nMNC03923D\n/eP6EXXmMhmpWfgGeKHT6vH0cSM7KwcftZmsiDg8vFzJVjrhW88Lba4JT18PdKlZ+LhAVmIa3vU8\nyc7Mwb9FI3IUzngHatAlp6MJ8kGbfBUvb1d0BvBs24A4BVyJT6djh1BUhb4kN67YyVfv/kTk6ct0\nuK0lfyzfzpZl2/HUeJCdmY0mLAiThydeQb5oky0jwHPV7pw9FEm7bs1xcVMT2rYRaQnpRJ2Mxt3H\nHbPJzLG/TnBTj9Y2a2tDXn1j/CL2/3aAFl2aE3M6lnljv+SfX/bTrHNTNIE+ePt6oFQquXQyBqXJ\ngLtZj7PZiMLJCWc3NQ8+fzdtu7fg4uFLkPcedhl8CxcPW1Ye9AnwQaFU4OzihNlk4s4n+nL7iF5c\nPBxBTk4u/m2agqsbahcnDNpseg/vybDXhxSdVqWUavLzXByPAlPNlNW0b8+DuvS9w8pEn87Tfbzq\nzLgwe+fZboE7NTWVl156iZ49ezJ27Fj69OmDRqMhISGBDz/8kL59SzeiuCpJgbuoIzuOczXpKr0e\n7FHqeKb0f886e6uLhwsB4S2ss6m6uDoz+p376T6gAwBXopLYv/U4g0ffjkKhIDEulT0bD3PP6NtR\nKpWkxKfz0bPLiLtouSpRKBV4oCctbz1pFKC5tR1X9fl1L6/0VNIv5g8K823WkAxd/i98T0UuabH5\nbe+ePW4i1TP/y7pXj5a8OP5O6/amb3bz/aebrF1kQ+p7EnfsonVgnyY0kGyFGkPe0q9eGleytQbr\nCPCWncKYsjR/De6vXvua3Wv3Wpd+DWsXyvRt71rvP3fgArMe+dS61Kt/Az/02Xpr4TmgkT/Tt0/D\n3ThsWW4AACAASURBVNsS818//cs3k1da6yEePh48OPUhHn5pAMnJWRzZcZyM5AxuG9YdgGN/nWDB\nC1+RFm+pB7l6utL3kV6Mes+yrviFQ5f4bNJqkhMsNSC1qzNderfkmRkPl3qeq+LUhs9zQdWyBnd5\n1LF1u8tc4J41axZdunRh7NixAGg0Gn7++WcOHDjAl19+WSuShSiqQ9+yTz+dkZxfaM7JyiHraoER\n2tm5pCXkN98Eh9bjnjF9rNsBIb7c91T+Z8EvyAcffy9rsjCbzDirCzStmEHt4gT6/EKtutA8TGpP\nF9Dlx+DsZlvodva0/eWTkamz2U5PzrQZS5GVlmVNFAAqtTMGbYHmJpUTufr85qOM1PxjAzQOD2X7\nyr+s21eTbJuzkmNTrIkCICMlA32BX+SpCenos3Nxt/QupmXHUJvCeVZ6Fi3a53+RFX4PW3VtabPS\nXXZmNmFt8x/frFMTFAWaHPXZuTTp2LhCiaLO0VbhCHXtZSDE4cOud3aTxf79+9myZUuR22+++WZi\nY2OLeYYQQtRSVdAbCoDsBNa+0Y7Q0LAq2HntYjdZuLq62vwymTJlis19omrEnI3FU+NZptG3FaHL\nyi5SaC5c2E0uMFeSIdfAhUOXaHWrZZCb0WDk/IGLtOpq2TYZTegKjdjOzbUtROcWWg86V2/bLl5w\nwSAoun60IccALvm/pLUZ2ZhMJmvcyQXmbQIwFjq+Qqmk4CpEhUeIG3Jz0ev0qPOuaFIKzHUFllqZ\nNkOLu5elWSk9OROFUmFdC1ylUqFUGawj3VUqJekJ6db3NC1dh5OzE4a8hYlUTkpS4/O75aYmZ6LV\n5tCgkaXbc2Zqpm2lWmG5WilIVaguoXIq84TSdVtV9YbKjKJhw5A6M8aiJHYL3KtWreK+++5Drbb8\ngwkJsVxmZWRk8PPPPzN8+PBqC9Keulbg/nfDfyx4cSn7ft1PWHgo/iF+VRpP3KVE5r+2irSULFxd\nVJiMJgaMuZNBY/tx6UQsusxsfPw9iTgVi5PaCb9AL+Y+tYDfvtiEQqEguGkQ855ZwC/zNmI0GGnY\nLpQvZv7GufMJ+Hi4kJ2VgybAi8ysHLy9XMnO0OEXGkBmZi6a+r5kZxvQuKlIOxONb4A32ZnZ+DWs\nR0Y2+AZ6W57v605a1BU0eff7Bmu4euEymibB6Mzg5+5C6v6LRJ+KI7xHc376+Ff+Wrkd7yBfcvRG\nfPzcybychI+fJznaHEJvasTYWY+icHIi5vwVvH3c0F1OwsvPk1yjGS+NG1nR8RzbcYzWPVrx728H\n+O3z33HzcsNoMOHh64Eh18DhrUdpcUszTv0Xwbolf6F2c8aUo8cnwJtHp42gWaemXDwSgdrNGSe1\nM0d2HCe0TUNiU7NY/M1uzGonnDJ1OLs44erpxqk9p2nQvD7J6dl8Nv03/t56goBAb3TJV/l83EK0\nGdq85KXAy8+Ti4cu4RPgTWjeOInARv5cOB6DPieXu0Z0457RtxftSVXJn5/qVisL3HWsuA3lKHB/\n+eWXnD59mo8++siaMIxGI5MnT6Z169aMHj266qItpbpU4D534AIzRnyCLm+abP8Gvsz86wO7C9NU\nRjyTh80jNq+7rEph4vbBHXjivREAJMSmMGPsUpJiLb94VU5KfNUmruTNTqpUKQlqHGDtbqtQKgi5\nqwuXE/IGhhlNaMwm6zTdJqMRjYcz6TqjZeVFwNPfnfRjF6zx+DQKJNOgtF7RermrSD2fv7Sqdz0v\nruYN5DMD3j3aoo1MtXY/DQ5wI+ZI/jQnPmHBpEfHW7ub1m8ezNSfJ1nXBF/y1vfs+HobprwrD5+G\ngWQlplq78AaE1iMtIZ3cvLmrPHw90GtzyM278qnXJBid0sU6UM7TXcXLnz5Gyy7NAdi85A++/2CN\ntTDuEeJH7q2tycrbdku7itPJSLIzLVdi7r6euHRoTXrejLiuLk64REaTmjcY0NnFCbWbmqw0y/1q\nNzUvLhpH57st64Vcjkjk/LFoet3T2e57XhZS4C6FOlbchnIUuJ966ilee+017rjjDjp37oxCoeDQ\noUN07tyZJ554oqrivGFlJGdYEwVAZkqW5UurAsnCkYKT0xnNShq2a2zdDmzgZylEX7vfYCI7N795\nyWQ02UwQaDaZySnYfKRS4uScf2muVKlwrefD1bzpwxWAWmv7ReTq501WYv5tTtjOFOBSoNCtANyu\natEV+K2TU+D1AKhy9TbjEjx9PKyJAiC0ib81UQCYc3Q2Yz2yM7OtieLaa8wt8Bq1WTnoC6xMZ3ZS\nE9Yu/wsp7KZG1kQBkJWVTW6BbZ2LC85Z+edQm6HDUOA16LQ5GAt0NsjNMaAq0BlA///snXeYXVW5\n/z+7n16nz6SRhAQSQkAIRaV68aJIk+sPBFQ6UsSCXAUExCsJYAG5oICAIHJBCAlVFIhEkBogJCEh\nfTIl0+f0vsvvj3Ny2mQSEgIk4XyfZ55n3ll777X2Xnv2Kt/3/b6pLOEyOZTm8fU0j6+nhho+Dow6\nWMiyzC233MKyZct4++23sSyLs846i5kzZ36S7auhhhpq+Oj4uLyhkj10dW05OLQcu7KG1KiDRVdX\nF21tbUyfPp3p0zfvjrnpmBo+OjSnDVmVii6eql0dEZG9LRjoGKR/zUYaJuW5puGeYfo3DBYT5AAV\n2k2maTCwrrfiGopSVm4YGEbZykEQMO12oET+GtUz+zLS1QKyZWUWkFXUCjtlU7Ao5apOBBxFGypl\nvWEkEZ+tItZTDS6s3hDCJuJZrXye5RHr+Xuskl5XlHzYeuF8WZEriGxBlioSayuaXOEUojo0FE0p\nRn3LCJDKkLNrheMVNLtGptBuWVOQTItNT1lWZBRNIVNYfYiyiKIqpCk8ZwGGukpkfmw4TvuyDvY5\nbG9qqMLH5Q3FVpIklWMX15AaleC+9tprWb58OW1tbXi9lcRQV1cXf/jDH/jb3/7Gscce+0m0c7PY\nnQjuhrF1OLzOPHFZ5+E7c05nwj7b54637OXl3P7dO3nxwX/h8DlIJzLcduGdLHzkFWxOG3vMzMt5\nt01qZN2ybtKxOE4ry5o3VyNKYnHPfcLerfmI7eEYbkEnFUniDrrIAoGDppPU7HgafGSHIwSnTiAZ\nSuLx2MlaFocdM52zfngsnav7GOiP4pvcRCRj4G3wkIok8E9qJoqIf0w9ib5hfP+xP8M2FW+rn8xA\nFPWwPRiod+Cd0kL2g40EGn1EB2P4G32k42mmH743l95+Doloms41vXhUk1jvML4GD6lkBsexMxma\nEMQ1bQzGhgEm7zOO8359Fp6gG8uyePTGeTz/wEt4gm5y6SzeOg/pZAZ3wI2e0/GObcLQ7Hha6jBS\nGZom1HPhrWfRvEcT699rx9lUBw4HTrcdBAg2efn2T46ndWIpm52/yYe3zsPad9ejaDKyKKCF4shu\nO65GH2d95zAO+MJU1r67Hsluw9nWiJDT0RwqmsvG/zvnMA776v6seWcdCALf+MnJHP2tw1n77npy\nGR2X38Xad9ahaDKSInPreb9nwZ8XVvThR8FuRXDPi0FgGrjadvyP5s+T51v7scxdggzfZoIb4Ikn\nnuCOO+5AFEXa2towTZOuri4kSeLCCy/k+OOP/9ga/GGwOxHcm/D+KytwB12M3Wv71EBT8RSXf/4q\nQr35Gb+iKTg89qLUt6zJXHb3d4uy1UO9Ya776i8Z6spHbIuyyPm/PYvDvvF5AGKhBNd89Zf0rS2s\nOgTwHbwP0XRp6e0zckQHS4qn+x8zne/fmI8uzmV1rvveg2woS63q8dqJRkr8jL3VQ7jMPdbR7GRI\nL60impd0kVjaWbT3mDme656+ElmRsSyLm8+6ncV/e6dYrh21NwPNpQnOOI+TX11+MnZX3uX7b3f+\ngz9f+3BxpukOuoiHEsUVg6etnhRK0Q40ePjZvecVFW4fveUZnn3odYxcnlPxBJz85M6zaZvUtNk+\neeXRV/nj5fcXkzxpLhuX/OUHfO7gvLvxsn+v5Lb/foRUYQWhaDLf/OnxHH3C5wDoXtXD0MZhZhyR\nl9npW9/Hz0+YU4zolhQJb72H4Y15Pqi6D7cXNYJ7B2MXIcO3S6L8hBNO4IQTTmDlypW0t7cjiiLj\nx49n8uTJH0sja4BpX9jrI51v6GaFmF0ukyOTKm2/6Bk977dfQLDJVyEQaOomyTKi3e13olZFYIuq\nAunyiOjK16i5teTyq6gynqALygYL1SZDWZiA5tCgbLBQ7QrEyiK8bSrlnyx/kw+5sEUmCAJNYypl\n2BVHZcS3M+AqDhRA/qNcNkUSJak4MBTtMhVDSZaKAwVAw4Sm4kABYJoWTePqGA1NE5sqsgFm4mna\nmkqDWcvkpgriPJfRaW72Fe3WPZtp3bOUi6FxQmNF+42cUSG1Xt2HNdSwI/ChInemTJnClClTdlil\n11xzDf/+97/xePKeKYceeiiXXHIJV155JStXrkQQBK6++moOOeSQHVZnDTXU8BnGxyn3sQ1tMM3N\nrz53BXwqYZ7vvfced911FxMnTiz+bc6cOQSDQZ599lk6Ojo488wzeeaZZ4rJl2rYPNYv7yaTzjF1\n//FAPh7C7raRLqwuFE1Bc6hFW1Zl+qqkx8sT7IiSSO/aEtEdGYhW5sgWQK9KflUdYb1x1UYsy0IQ\nBLLpHJG+ygjobLbSe6Q6B3e1namKsA4NJ9BzBrIiYVkWvRuGKspzKR3KaDa1itju7o9UENOmaVYQ\n16ZhIEpKkfDWqlYq/b0RJEUqRoaLgsDGNX2M3asVyHNGnjp3cSuxZ3UPql0tzv41p0bXqo00jm/I\nt2flRhSbjB7PX0/RZDau7mHvWRPZHHrX9VVEdMuqlA/YK+hTiZJIb5WzwmceHyPB/aGR7mcriUl3\namxVonxHI5FI8Otf/5qenh7+8Ic/sGTJEg488EBuvPFGLr/8curq6vB6vbz99tsIgsDUqVNHvdbu\nRHBvD159ZjH3Xj+P1/+xFLtTY8LerSiqwvjpY1n77npUm8IZ15/Kl751BOsWr0fPGWgOldWL1mKa\nFlMOmowgCEw+YCLr3ttAOpHG6bGz+p11pONpbE6N353/B/rX9+Nt8GKaJuqsiQy2uKjTbFhZHZeR\nJbJiPf7WenTTxG2TWPfq+wx2DtIyqZnfXfB71i5cin98IzkL3E0eBowcQY+DXCqHN+Ak0hvD3+Am\nresEnTZSq4bwNnlIYRDwOBhwqtQpMvpADN+EJnoEG2tW9jB5r2YenP0Ub7+6Bn/QRTaRwjeugYSu\n4m90k5FgxuRmfnDaEThsKoZhcu+fX+Zfy7rwuh1YkXheAl3S8ARdWLkc7qCLxGAUl8+JqKmMmdzE\n+dd/HW+BGH/i4dd57snFaA4NyTJxOlWS3f28+9w7NIytY/E/l/LAlQ/x5jPvEGz1s+LVlTwyZy6C\nKGJzaNgcGoKQVwd2B1x0ftDN/T99ED2ZxlXvQ1YkxGSC9xe8h2pTmLR/5f72ewuWcsfFdxMLxXD7\nXSiawqlXnsLXLjmWde+1k0lk8n349jrSiQzTvrjXdgsK1gjuHfwj2zn/KO/uSXB/HFi/fj0333wz\n1157LY2NjcyZM4euri5efvllFi5ciM+X36v9xS9+QWNjI+eff/6o19odCe4Pi/BAlB+f+Nti0Jei\nyvzs/gsYX0gLOtA5CLkc9Xvk97oHu4f42THXEylEQAuiwMV3nM+hJx0EQDwc56dHXctQd0mjKNDs\nq9BFUo7Zh6H6wkrPtGhd3E1sRYl49rbVE+kqrVrqx9UzsKFke798AIOb3jbLos4SiRWelwW4G93E\n+mLFSb+8bz1DuWzx+Nb2KPGkVfz4NToVBtb1F6/vCjiIyGqxvHlGM7Nnn4ZccOF9/Mm3+b9H3yge\nXzcYJd4TLR7vIEd0Y4lbqdujmdl/vwpnQVr81X+u4Pc3PcOm/xhbOk169QbMQsIkZ8HzbNOKw+Gx\nk03lihpQciEPxSa+Q9ZkRFEsrjhkm4qkqWQihbzlqsRP/3o5ex2S3wI2DZPLDriiQvvqpB99jf+6\n4qRR+/Ccm77F0d8+gu1BjeDewdjFCe5Rs6L85Cc/Kf4+b968irKPogs1YcIE7rjjDhob8y6G3/3u\nd1m4cCG53MgZTLUffQ0l6LpZsV2Ty+oVdv2YOqaWuU8GmvxYZTNMy7SK/v0ALp+rSBpvQnnWOACr\npUS6IgqImcq4B8msPN6s2j6S7UrJEARUW8kWALsgFGMqBEAr739BQGkOVMySqwUQ1aC3otxrScWB\nIn8/ldtnkt9VcbyoKZXlllEcKCAf51E5tbKKAwXk+6BctDCbKQ0UkBdhLCfG9YxOtix2RE9nMdIl\n5wQ9a5Aui/C2LGuECGOwtUTuu3yuEQKC2S1k9quhhm3BqJzFypUri78/8MADnHTSSUU7k8ls7pQP\nheXLl9Pe3s5XvvIVIP8PIIoizc3NDAwMFFcW/f397Lffflu8liAIBIPO7W7LjsYn2R6jKkANwOOx\nVdRf3h7DMJGqtiNcTrXi+GrlUqFqsJaqhOmqA1Elqap8K4N9dUrQ6slBdXuqM75Vt0esql9RpIr7\nszsqB4OttUeSxIrzq5fnVVlZR6Sdrd79KaNJRkX1hlF5nxq6QfUjdTm1Lfahw6Fs9zu5s/1/7Q7w\n+x277DMddbAo352q3qn6KElVLMvihhtuYNasWdTV1XHffffx5S9/mWAwyCOPPMLVV19NZ2cnixcv\n5vrrr9/qtXamZfInuWxPJHO4fQ6iw4Vsax4bpiBU1F/enrXvd4LDziafVUWTWbm4nQML5d2reipm\nobJNxVJKH0dJlRG7Y1CXd0GVDZOcvfTSW6pMqt6P1TmU/+BJIhmXC8hv65iSSKbqPUqYZili2zRJ\nrt+IpdqL75dSPhqZFtmNYbAsEAQsATburSJ2CkgFN9dMOAFGvm7LshhavoH21X24Ay4sy2L1C0sQ\nszqmKoNlYVogKBJWYTVgOJ2ILhtmwRlAc9oqnufqd9uRRdi0QLG5nRgFdV3Iu9iqDpVsYWvQ4XGS\nU7NFN1Z1bAOWYZLtzD8TW1MABIF0T56gd/ocyKpCpCA/rjpU3n9zDRNn5aPu167sAb8XCsmoFE1m\n1eL1zNrUh51D5JylPhEVkZXvrN/ud3J32obaWbyhli41CFUl1/qw+KSkQrYrzmITdmTGrWnTpnHZ\nZZfx7W9/G9M0mTx5Mr/85S8RRZFrrrmG4447DoCf//znOz0R9GnCE3By6c3f5E83PIGRMzjjiq/S\nMqFhs8e+/twSHr7lb2QEhcCkNjJDIURR4IV7/4kgiEw5eDJ/ueYRwv0RfE0+srqFrbGOeDRNcMo4\nEgNhHE11xN7vY8zkeobrHQTDFjHZRmDWNGIdG9EOmkoolSN4zP6kFq3GPX0S4ViGwCHTCa/qwP35\nvRlO6fj9DiKRJF6Pg1A4SXCPIIk1/XjDIUIb+gmMbyTm9fPFr8zkzO8eyT1Pv8ELLy+nuSNObP0Q\ngSYfQwqkT6iny5GhedIkXA9tIGBphHsjBBq9RDFwxWN0Ld7I7P/3a759w+m8cN8CFs17g0BrkNi4\nRjxudz4yfUIjmf4w9qCbSCqHZ/+9yKzpYNy4IBfeei6Q58YevuU5Fvz1DZwODcNpo3FiA+f94D/p\nem89D173cDG2QdEUNJuKv9nPeb/6NtHhOH/+2UMkgl5STUEEAVx1HqS0ge7Pr6K9ATf2dIpLfnc2\nhiByz+X3E+qLYBkm83/7NHpWp3HmJB6572XSPh/+/Wxk2zfm+/C+lxBFiSn/MZO/3L2QiM1B4HNT\nSK7agGpTefmvryLLMt++4ZtIH0E+ZpfHzuANxTZIg1RjJ5AKGZXgPumkk4pcRfnvm7M/LXyWCe5N\nGO6LkMvoNI4NjigLBp309kT44VdvJlIWYa0mIiQjpdlNufQ3gHfKeBKx0laj22cnFi4FeTknNxOL\nlvbW7eN8hMvUVOsNobjiAXCM9REqCxrzeR2Ey+qva+8hsqqUfXHGf+zLTx68rGjffPlfWPri8qKd\n/uY4NpRJku39cgrjtTKiW7UIt5dcR4OtAYa6S6SwZ/oexJVSkJ7LYyNedj8NDW7m3HV2kVNZOG8R\n91xfet+9dW5ueuIH2Asux3+/5wXuv+qh4sfI4bHzy+evLbrGvv3qSm66cwHmJo0pC5RQquiaK0oC\nP7zyOI4+fn+GhhJsXNPLz469nlShTYIk4jx4BsmyZ6yt20AqUnrG3sP2I1bWZ47OLuJl6V/PvP5U\njr3gGLYFu9PKYqcguD8KPkFyfJtXFuvWrSvyFOW/W5ZFe3v7jm9hDduFQOOWE7pYljUiU1w1yvNV\nw0huQKxa+srV3IIqQ9mHTK6Ka5BVGcoGC0WpLFeqjvf4HBW231Up054/v3RPsiJTfoeKXNm+6vmQ\nJG+ZG5E0pYJ8ryb6BYHiQAHgrfdWzFoty8IdKMUHeRt9xYECQDcMpDLRQtOw8DaWnAc8QVeFqKFl\nWphVsS2CUHlP1SKI1X1Y3cc11LCtGHWwuPvuuz/JdtRQQw011LATY1R3lVmzZjFr1iz23ntv7HY7\nwWCQmTNnFv9ew64BURTxBkvLSqfXjqts1qs5NYQyl1HVoULZLFTV5AoXWFmV0ctmtZIsYpYFbkmi\nUJFzWxAF9LJVhSBQkVAIIF21Edo9GCddOCaT1WkfjlaUmwOJCq+hTDZTkUI0J4iIZasH3cqL7RXP\nT2WQlVK5aVkVqxuPp3Ils27xerQyt1/Bslj5xqqi3d4+jL3sHNVpZ8XS0rbaqrfX4yxL3OR0qDjK\nPLMcDpWV//6gaK94bRW2spWLzaUhl92f023DFSj1qcNjx+0pbavZHCouf6mPVZvKuqUbduno4Ro+\nfYzKWei6zi9+8Qvmzp2L2+1GEARSqRRnnHEGP/zhD3co6b29qHEWW8am9vR1DHH3dXOJDMY4/Yrj\naB0X5M7v3Uvnmh5yk1tJKDKBzgGMwkc5EU0RnDKerGFBPE60Z5Dg1AnkTMjsGWTAITImIaIPp1Bz\nOaLdIVz7jSUhgMOAeE8Uf9BJMpHFbhlEOodw7TuWuCTgRCDaFcE7LkDM0LHbFcKhJHX9w6RXb0Sb\n0spQnZ8pezbz9a8fyMP/fJf31/bSOpTFXDOITRYYXLkBzpxG7+d81K1PIt+2mMD4ZrKigtrgpd+h\nEIjEyH3Qib3RT9jpwWNmybb3YnOqhHrDeKaMwawPotkUQkMJ3B47pmUyaWoLF/7oWNw+B3pW554r\nHuDlv76Ks8GP5PMiiwKh1Rtw+52ccsWJdMV0Fjy7BDmTQu4dRNIUEj4/Nr+LE047mHj3MH9/6DUs\nh4I0qRFMg8xrKxANcEzL7z8nV6yHZIqTL/sKoqYy/7dPk0lmcPmdmIZFLpMli4B35hQ0j4Nvffco\nWpo8/OGyexjsHOKM609l4qzJ3PXr5+jpHOab5x3OXnu38PtL/8iad9YhiiKxUJxDTjyIC357ViGX\n94d/f3YWfCTO4oh7wdG89QN3ViR7eOOmz32qnMWog8WNN95IZ2cnP/vZz4oBdN3d3cyePZupU6dy\nySWXfHyt/ZCoDRZbRnl7sukckeE49S15D7NcJsfFF91LaJNOk2niW7yaRBnR7ar3Eh8oycPK/3UQ\nw2phRm5ZjFkdJVGIFrYA116txIZLxLVPgujGUjSxb3orwwOlctceAYZiJWI5oIoMZ0urGt8EHz3x\n0vNsfb+H2OL2ou2Y0UhySSmBkfvz0xh22IoBDsGsTiycKeX0jkWIrCnN+H37TSZKaYbf2OLlprvP\nKXIYz/9pAff994Ol+vwukmWKvY5xTaQDJTVaVTDJ6HlCGkAVQe8p3b8lQa63H3HTyksWESURs0xx\nVrWpFYF65a64CALf+dV3OOaMLwL5PhzuDdE4Lk+k67rBYF+UptZ8Hxu6weWfv4q+9hL5f9rVp/C1\nS7/Ch8HO9j5/pMHioDlg27y34KeOdD9z/3s6bW1bTkuw07rOvvzyy8ydOxdNKy2HW1tbmTNnDqef\nfvpOMVjU8OGh2pTiQAF5gUHRZYNNXkuiOILIlqpyYONUYVNEsiBQzhMLQHXIm1wVpaZQdf1qYtnr\nhIHSYGVVLV7Lt44AHCGdco912SZXCuy5HQiR0odXslXOqCXLqoiCk2W5MrtfVYQ4VSQz1fMsTUWw\nSh9+q5qUzuqlgQJAN0cQz6ZVdU55Ay0LZ9n2laIpxYEi336pOFBAPu5DUj7D7rLlCO6783pDxTto\na9v5ZUBG5SwkSaoYKDbB5XLtsjlka6ihhhpq2D6MOlhsSZepRpTt/Hjj6UXM+92zRfudfyzmqdv/\nVuy79/65DHFdb3F27EilEcr61ebQKibOWp0XdTBTPF7RJMKT3cXZv+y2kbHLRQ9SWbDQy7ZTRFUm\nq5dm3aZDZKhNwNi0qyULhH1gFmxDhqE2HVMuXDGrow/EKt5Yb4Onwk3XGk6ibJrNWxZGWi+tRiwL\nSxBRytxwLZuGqsnF8txwlNXvbSiWN01oqHCBlVsbcbSWkhwpqoKzbLWjRGI49FKsg+ay4yhzba5r\nDRBsK21bOX0OXL5SxLWnpQ5HfWW5WkasO8c2sKYjXOzDJYvaeeLh14v2+6+sYO6vnizaK99YVcz/\nDXkivGGUwM0aatgaRt2GikajLFiwYLMDQywW28wZNewMsCyL+bc8zdO3P0c2lWHVO+upH1fPU7f/\njXQsTffKjYzZq40nf/cMsVCcuqlj0F02zNUbiYYT+Jt85LI6lmnmc143+cjZ7QitTSS644yxvAyO\nkTHcMj1pk6YTJ6O+MwRNXoYTWYITgxidw6jJHNGhOL56DyldR6n3EQql8AedhG0mqQO9DBppGg71\nIq5KQbOd/nSKun28GENJcvva6LdS1B/gQHstTMOiLiLtA/gavGQzOY484zBOu/oUnr/vn8y95Wls\nDXWE++L4DYFEnQOXohHuj+H22tEzOvZclnB/EteYZnLRKNr4ZsJJA6dHRpbAltEZXNvPbZf/sT7U\nHQAAIABJREFUH6dcegyHHb8/M47ch4vuOJ/7rnwQvaGecMbCPs6Dx+1AEUSi0QxaKI7H50KMhAmv\n3YhiU/CMa0ZsricWTSFpKp7x9TT67Jz/81PIpdPc+b17GeoZJhFKAha+Ri+Cy0XGkjB0g8CeY9BD\nETLJNLmYjq/JhxX0k/N4ePEf75MxLNrG1/HkI28Qj6Xp3jDIxDo7837zJNHBGF0fdLP3F/di3q+f\nINwXwd/kQxAFvn3D6Rx47P6f9itawy6KUQnuM888c4sn/vnPf/5YGrQtqBHcIxEPJ7jsgCtIxUoR\n1zZXKRkS5GeY5Wk3nX4niVCp3a6Ai/hwicj1fWFfookyhdsjGhkqm0GPG5KJDpbYg6ZwkkhXidj1\nTmkhVBYBrn+lkW6pdH6r5WAwXDrfPcnBRqtU//T5vaReai/aM46czk8e/mHRvufnj7Nw/tul+vZo\nJJQoixhXRaKdpQRJ7rF1RDIl7sAji8S7S+XN4+u5cd73i/bTj7zOw/e9UrQdgkW6tyTdrgomye4S\n0a42+NFbS543iiJx011nUV9Ildq+rIMrj76uWI4oorU1F1VxLdNEioRKqVIFAcdB+5AuI8LtTq2Y\nsxtGRmxXR+WXS5l/WOwM73M5dltvqGQPc7/XsFWCuxwfJ9m9zQT3zjAY1LB92NZtwmon6Gq36Gr1\n2a2qxVart46wq69Xdb4gVEREVx+vaJWvrValBvvh6jPK7C27gZfn7wZGysmOgDXCUspiWaoz732I\nS4zspOo+rrKrix1VUfCfOewk2lCjYZs0oz4lnagtCgk+/vjjTJo0iRkzZgBw8803M3HiRE4++eRP\npHE11FBDDTsEO7M31C6CUVnsRx99lLvvvhtVLc2CZs2axd13383jjz/+iTSuhm2HalNp2qOxaLv8\nzgqdI5fflddyKsDpd1boCDl9TsQyd0uHx45VluTIblcQYyXbochYqTJSV5PJll1PtSn5iO7CzFhR\nJazBVHGirIgielJHLMzWZVHAGs4iFY6QEEi6lWKbBVGgbyhFd2FbKR5Ls25tP2rZzD0jWBX3rGey\naGUup2Yqhd1eegamoWN3lVYn2USKd19YUigzef/F93A6S/8Hda1+Ak0l4lp1qLjLouRtqozbXSZU\n6FR5/bn3irbb76JlcmlLpHF8Aw1lxHfj2CAN4+tL59d7UMrup67BQ31Z/U6XhqSVRYj7HBUR7Q6P\nnRWvraxIxFRDDduKUXNwX3311fzxj39k/Pjxxb+NHz+eI488kjlz5nDqqad+Qk0cHZ/1HNybgyRL\nzDruALpWdpNNZUlEkqRiafxNPjSHRiaZJhVNFex8AFgykiqWG043KVPCH3AiKyKmbhBf14N/TD2K\nU4NwAn1JH95WP5JTwfvuELn3evA1eZEcGoIoErYsAj47igWS30k0peMLOFFkCSWbI7eoB1/AhRW0\nE+wXMFbE8bnsCHaJun4D6ZVhvA47Zr2CN6URElVcASeOUBrH+BYGUFiyaD2CAA/dvZC1awewe2yo\nkog0KUh3kw2bx4YjB45shtA7K1FVCZvXhV0RCL2/DsUycTT5sZs6oUUrkLFwBD3YNZGB99fx3oKl\n5HI6z/7+ORbNfxMhlcLdWsfMgyfxo198nX0OnsTaZZ0Ihs7wqg4sw8AddOMIuInpIlYqi6fRg90m\nE13Xx4o31xINJdjn4EloDo3PfXk/NrzfQV1bkB/cczGHf/1A+jYM4va7uOTm0/jSmYfTtbKblGER\n27ONuCQS9DhoavJyyU+P4yunHEhfd4h4JEmuN0QqY+IPOFAUkVxaJxlJ4m/yotpUDN2gc0U3qxet\nZfrhe2H/kFtSO8P7XI6PlIP7L2tA3bLo5i6DbITzjnB/bCkctjkH95ZkyE844QSeeOKJHde67USN\n4B4dyWiSyw64gkSZFPgIottrJxkpEc/l0uSWZeHMJYmWkaaBaROJliVu8TR5iPaWyh0H7cFQGena\nJEiE+kska71NZGhDiUh2HjqBwWhpldJoUwl3lohj6YuNdFul603eaBFbV4oor2vwMNhfqt8+NUiP\nWJo9t6wfIv5qScPJ3+wnVBZR7W8JECrLZ11NClcT/YG2ILctuqnI6bz00Cvc9YN7i+U2v4eczVEs\nl1WZXFYvrqIkWeRXT/2IYFOe6NazOpZlFfkMn9dGf3+suEpKxNNc9P37SW4i4y2Li84/kiMP27tg\nWlx27M2E+yJF256NEx8qtdkTdBMdKt3TqVefwvGfxQjunZng3lZ8zNIf20xwm6ZJLpdDUSrjcnO5\n3GbzZdewc0GUxBGk6Ig0n8LoRLUgCAhVaUqrz5eqIpyriWKhOkK76gKSWVVeNW0Rq0O4q6ORq2S6\nBVmkPOh8c2lNK083t3jAyOOtimcmVUWUI1Q/U6viGtXTMlmt/PeTZKliO02URJBkimS8IKCU5UkX\nBAGxjLUVBGEzzglVNp9R7OQE91ZRIQnSwtix4z7xJow6WBx++OH85je/4Yorrqh4AX/zm9/UVGdr\nqKGGXQu7OsG9E0iCjEpwX3zxxaxatYqjjz6aH/zgB1x22WUcddRRrFixgh//+MefZBtrqIJlWcz7\n7ZM8dtO8Ud1kX/zzwgqZa0/QjVKmjeQOupDKZqn1Y+tonlAiVR1qpfuqa1wjpsdZnLg7XLaKhD52\nl4rQGUIoyJnLE0QGv5bDcuWP0WwKWVVFKKwOxHoHcY+IUJidK7JIShGRtHy5rIho6xI4MoXzUzri\nhhBqYaYsGDrZVR1oRn6VK2KirBnElSptQ6X2qEeZVCL7DcPEsUlKXBAQvF5cTYGiLY5rxTWhtFUh\nSgKuYCmC27Lgpf97OX8t3WDZ2xvwjStdv2VCPc1lxHTrHo207FGyPX4HL817C8uysCyLx3+z5T5U\nFImxZcS3XzdZ+rclFcmYWsucGepb/bRMbinarkApOhzA3+Rj/IzSjPTdF5Zw+8V3k4xtX07oGj5b\nGJWz2IS33nqLZcuWIQgCM2bMYP/9d54I0M8iZ6Fnde76wX38+/G8zMPBxx/Ihb87t+j9Y5om9/3k\nQV566GWMnIGv0YtlWSTCCfSsgb/Jh2maJCJJ9IyOv8mHt8HLd287h5ZJzTx48zO89eSbxHsHySaz\n+eMDfrIeD5lMDr/XjjkUQU/rpBIZfHVuDMNAzxmk4hk8TV7CX3IT+7xOnDR1WSfeh0yEwfwevNdr\nJy0bpMZ5iaaz+J02pHAO0YBYLI3XZUMKpxFNi1gkhcvvIOkH17oo8b4YLr8DUwRhcJhITwhnwIXY\n0oAqyUQGYnkeZmodVqOLUCyFU5VxLO7AvjFCuC+M3W1HcWoowSCRUBLNoSALJlJTHeF4FlWT0SIR\nxFCEUG8Y1aZic2tIklS0jzzzcAbCGZb8ezWSIuLSJKZMa+b8355FLJLk7mvm4vI5OPe6k0klMtz5\ns0fpWTdAaCCGIAocfMw+GOEwr81/E8uyOOT4WVx42zk0tfhGvD+ZrM4dd73Impc+INkxhJEz2PcL\ne3LB//wXLq8DPadz/w1P0bW2j3OuPYnmcXXcf+VDvP33d0hEUmRTWXxNPpweJxfeehYT98/PTJ+9\n8x/M+/WTJCJJJu43gfNvPYsxU9oq6t6tOItaWtUPjdGe8+gCUEBXVxeiKHL66afzne98pzhQvPba\nazu+hTV8KAxtHOaVx17LK6Ja8PoTb9G9siS7nYym+Pfc14upVMN9ETLJDHpBijzUGyaXyqEXooFD\nvWGOOO0LjJnahiRLfPunx6NiFGWxQ71hxDofmYLGUCiSQpTlYvRweDCGrMik4nk72huBaSZx8kT6\noJpAscskCsR6JJJCGB8gWtCNCiXS2GwKsYJUeSSeRnOoxArEezyUJLgxS7wvVrS1VIpIgahODMex\nmSaRglptMpLCJkmEChHsiayO4tAI9+WJ81QshexyEikQ9ZlkDjHgIxzPtyeb0bFEkVAhQjubzmLm\nzAr7lafeYcm/VwNg5EwMWeGC352NalcJNvn48R3f4eIbT8Xm0PDXezjloi8RKrTPMi3+/dTbvPr4\nG8U+fO2JN+laufmALE2VuejcI7EGY8U+fe+VVbyzcAWQTyl7zrUncdU959E2sRFJljj7pjPRHLZi\nBHi4N8wXv3FwcaAA+PdjrxWdH9a+u57X57+12fprqGETRuUsnn76aW644QYCgQCpVIo777yTSZMm\nAXDTTTeN6im1LXjwwQd57LHHmD9/PqlUiiuvvJKVK1ciCAJXX301hxxyyEeuowbYGnMrydXE8ZZp\n0JFEebW95QNGEs9bKR/BNG+5vq22r/pyWynfGvFd3Ybq51kdAb+t2FyisepnJo8g/6ucCaqlIbb2\njHc3JHs+7RZ8NCR76OoyNlv0SeW5GHWwuOuuu5g3bx6NjY089thjnH322Tz88MO0tLTsENXZZcuW\ncddddxEMBgG45ZZbCAaDPPvss3R0dHDmmWfyzDPP4HK5tnKlGmqooYatYFf3hmIUSZBPUPpj1MFC\nEIRihrxTTjmFeDzOBRdcwCOPPPKRK43FYlx33XX86Ec/4k9/+hMACxYs4LbbbgNg7Nix7LPPPrz4\n4ouccMIJH7m+3QmeOjeTD5jE6kVrAJi43wTqxgSL5TaHxsT9JvD+y/ltCm+TD0SxGF/hbfAWfDjz\n2zTeeg+L/r6YL5xyCJpDY8Fjb6KXuax66j2lhEeA26ViDkURRAHLtHDUOYg3KIiDAqZh4fTaSa7O\nIh8gomPiEmwkPAKyIqLnTOwujZRkoCoS2ZyBXVNICiaqKpPN6miaQlIWUG0K2XQOm11iz2kDJIcU\nkrEciiaTsyvYPXZS0RSKJqNnczjcNpKxNJIiYSZzuDxO4ukskihgynIxZkKQBEzTxOVzEA8nEUSB\n8RMb2TicpL83H68guux4Gn1EC1tXE2aMY6g7xMY1+dmpJJp4/Y7iVpaiyTz7wCt87ezDMXSD+698\nCF+jl5N/dDymYfLS3EX46lyEB+PFPjBlo7iV5msJ8M95i9jvsKlYlsXcm+cTHYrzrf85DUmWeOb2\n51DKXGC9AQdvPfkGBx2zD6pN4R//9yrrlnVx1tUnotlVXnzmPXS5LAPg+HomfW5ixXs0ceYENizr\nxDRMAi0BJh84abvex10Gu7o31E6AUQcLj8fD888/z5e+9CUEQeA73/kOq1ev5sILLySVSo122ofC\nVVddxUUXXVSxaujr66OpqaloNzY20tfXt7nTP9Owu+xc+eiPuOv796EbBhfeenZFRK6syvz3Qz/g\nnh/fz/uvryaUEcASCIxrxEylCQ9GwCQve21aRIeivPfCEmZ/49e0HTCFV//2HrmMRWBCM2Y6Q0pU\n0TcM4htXjykJJJasJhdJ4N+jBaPBw7qjPUTqJSa1afjejpGNp7HuGaAlFCB6hJNEh8raemjbz4ev\nK0fPZJkhT476nIYnrJJSDbrNLHVtKu6QQkYT6DFy+Me6aE7FOfOb73LkYUt5/eWJ3HnLDCJ2HwOy\niNPjwLNuI4LNRjRhYHNKuOvc6HVOhnOgDGfx+zW0nhiZVSFUpwuvqiDabURTFqqVpa7Zx2EnHsAJ\n5x3Bxs4hfn/zs4SHEoSHE0hNDQTsKod+dX9OvfoUhrqG+d/v3slA1xDhjSHEgSi+yeMQFZlQX5S5\nd7xA16oewuu7WbZwOQjQuWojumJnyat5fsNXlycOw4MxLEvDP7YeLIhkBV6a/w6xcBIrFuPNpxeB\nBb3r+3D7Xbz+5FtYpkVwyjgsQST0QTtDy9YyZzBC0z4Tee25JRi6ycDGEM37jOWVf35Azu7Cv9c4\nfJrIRbedS+uelQFpZ914JsHWIG8/9y5n3XgmE2Z88n77NexaGNUbas2aNVx++eWcccYZnHLKKQAY\nhsHVV1/N/PnzWbFixXZV+MADD9DR0cHVV1/NG2+8wZw5c5g3bx7Tp0/nlVdewefLR7f+4he/oLm5\nmXPPPXfUa21yQdxZIAjCJ9aeTfVsbj8bIJXI8K1Z15IsEMeWZaElIhXS5Jtm15sQ2Hsi0TLbE3QR\nLYsGdgsZQt2liOf0TV+gWy2tOmY9ESeyshShrZ87lU5KEdgtHhcbo6XrjZNc9A6W2YqLvr5StPHt\nFy1i/wmLivav7v8vnv2np2i36gbDH/QWbe/nxtFbJuPdbFqEl5eW7YFGL8N9pQjwPaa1cNvfrija\nc//yKn+85fnS+W1+7p33vaL9zN0v8Lvv3l20HY0BslLJPVmVTJKdZVLlbiemu9ReBCq2QqxCWtdN\n/INlGIiRYXLp0j3YnBrpsqj4TSuq4j1PmUCiLI+5a3Iz0WjJPu/7x3Dy6aNzf1ZVoGE5Psn3+cNg\nSwnZtoZd3htqNMQ7WHXrJCZOnLj1Yz8kRnvOo64sJk2axPz58yteFkmSmD17NhdccMF2N+Spp54i\nnU5z4oknkkwm6e/v59RTT6WlpYWBgYHiYNHf389+++23xWtZlrVTufbtTK6G6WRmxEeg+t9+hD1C\n9rrKrAp4HpGiulom27CoSLtd1Z7qlNYjUlxXVTDy+Kr6RtiVJ1Tfn4BQ0V+pZKUygWlWvl/JshwZ\nhQtW1VdVzJYhCMJmBpAtVjHiHqxqOfSq8mQqu93v5M70PsNHc53dnREKJXdoP22z3McmlH9wNulF\nlYsLbiseffTR4u9vvvkms2fP5uGHH2bOnDn89a9/5aqrrqKzs5PFixdz/fXXb3c9NdRQQw1F7Ore\nUKNhC15SsGM9pbY6WJTj41ySXnrppVxzzTUcd9xxAPz85z//2FQVd3XoOZ37r3wIPadzzk3fGqEx\nBKBqCvscMonX/74UgD2mt+GikXefz0tlT9h3HIFmP2//fTFYMHbaGFpmjufthR9gmRbuMUHQFIim\nQDdwaUDSQJQFTN3CU+fG8cBqwie3kApqNEU1YhNUhL4UViSFOL0eQxfQJJEMJh5NI6sb2GSZtK7j\nbYBsYxjbcpn0IARCOvY1XbhbnMTsMnZN5rdPHsjFX01yyJ4rWLa4hTXP67glk5gkoqoSKaeGrc1P\nuiuE5LWTUWVcmkw8nkETBAxBwtXsJ94TQtFkph6wB+uWddDXMYwoCcQiSV746+t86RsHA7DXvmNo\nHReke8MQGDq5le08ceszHP+9r5CIJHj9iTfxNXqLwn2KYKKpFtFMflI15aBJxDtcrFm0FgCnQ0ZQ\nTKJZAQQBz4QGBAQi6/JbVc4ZY0CAxJJOsMB22ET03BhyT74DpoXni9OwNIX0giUIpklgUhtIEulV\nHWBZTJg5nrop43n3lZVgwZg9m2jYu41Fr6/FssDZ4uW1pR0cdPhUAoHPuFfhbuANNRpGTZy0gz2l\nthrBXY4TTzyR+fPn75CKdwQ+ixHcmWSG35z1vyx96X0A9v7CVH74p0twuB0jjvX77dz+s7kMbgxz\n7nUnY3dqPHLD43Sv2sgFt56F0+tk7q+eZP2Sdi747Vm4g26eunchL/59GaF4BtO08Hrt0N5NtHsA\nI2fgrffkP3DhJHpWxzXGT/SEvcnGBbI5A69NRcpmGaqTyegGHoeG6RZImDppXcejaaiNWXINMVJW\nDpdgw/eUgO3lEKloGrvHRmZmMymnTCKdw+OU+FLdahY/bSM8mMXm1BAm1pO1q8QTGTRVxpHT0e0q\nsWQWVZVxSiJSNEMsnEJRJXw2meNPPYgjT55Fz4ZB/nDlXxnqCxMdSiArEkf/v4M5/Ud5JdbhgRi3\nXfsova8vJ9I9jCiJHPjV/elv72f9kg4EUcBT50YQhOKgERjXwKGnHsap3/9Psqkcd1x0J2sXtxcD\n+XxjGxAntBKO5rkHr8eO7lUZTue3vQJ2hYxbYtDKzxCDCGhDWUKFbS2/KqGuGyBaSE3r9TtoaXRy\n6e/Pxel1Mv/OBaxfsZFzrz0Jt9/JU4+8yd8XLmcwmcY0Lca0Bbj0gqOZUCZF8mGwO21D7bacxZaw\nnVHf27wNtXr1aiZPnlzxt7vuumubKq1hxyPcHykOFADLX/mAvnX9TNh3/IhjRVHkmz+slKM+9aqv\nV9in/LjSNfn4c47gX6+uxYyWIq492WwxejgyEMXf5EPP5knYeGcIe1wkXnCvjaSzeMe6yMTzH5lo\nMoPf7ySdzF8vmsnQFoColf9Qxq00Y4dlIoX6UtE0dkVmsPAhjSYMFq9vITyYJ7LTiQxeVWa4QPpm\nsjqeoItQgYjPZnX8NpVw4cOayxr4JzVy5Ml58cvmcXXsf/hezP39CwDoOYPlb6wp3n+g3s1B+43h\ngbn5nNumYfL+yyuIF3KUW6ZFLp2rcBTIxZJ845JjEEURm1PjS2cdzaL/9+tieTSSgGiJpA7F0+S0\n0vbuUCZHzlPS4hoyTbyyBJui7tM6vlyJEImEknzj+8fi8uVXCyddeHRlH556EC+8vRYznm9jZ9cw\nS5d3bfNgUUMN5RjVveCKK64Y8beGhoaPtTE11FBDDTXsnBh1ZbEzuczVUEMNNXwk7K4E95ZQIL93\nFMk96mAxPDzMAw88MOqJ3/rWtz5y5TVsO/yNPvY/Zl/e+UeeqJ559D40TWza7LGGbnDvf/+Zoe5h\nLrz17Io80ZDnfB7+n7m0L93ABbecTaDFz6Nz5pHpG0KSZQzdxOe1Y4a1fOR0RsfbEsB02FFtSbLp\nLJ62IAnDQFNlMlkdr8dGWjSwKzKpnI7XZSMt6jgUhWQuh0/V0NszOCdqJMjgNW1kTB2Hx0YymsYR\ndBB253DqGolEBpddJVxn4gw6SQwlsLttZDI53G4bsVgauyaT6xzAE/QSTWWxaQoZ0cLjdxANJbE5\nFPY7qBSd3LGunzfeWo+33kNkIIqiySRiKZ64+58cf+4R9HcO8/qCD/C1BAhvHEaSRWSnA79dI7Rx\nGFEWmfmlGQx1D7PyjdUIosB+/7EvUkGbKR5J8ve/vkmgrY7hrkEAPF4nksdGqLDVFnBp6JrCUEGc\nceb0MVgBlTfe78iXex0ogkF2ML/15Xeq+RS4yQyWlQ+oXLjwA2Z8cQpur52H/+cxNizr4Pzfnk2w\nNS9pvv/Msfz9hSi6bjJhXB37FYLuLMviqdv+xrsvLuHsG89gzNRKpdndFrsxwb0lfP3WXt5o27BD\nSO5RCe6DDjqIo446atQTZ8+e/ZEr/6j4LBLckN9H/8vPH8HQTc68/tSRQoDkB4rfnXM7bz23GIBx\n08fy/T9+l8YJpfwHvzvvDl5/Mh/01jalhboxdSx+YQkA3qljEesCRDcMIBgmTk1AMA2iXi9IMi49\ng5VN0TutGcOu4nZoCHaRXleanAxeUcVmSvR7UmRkEw8qnoRCrj2NmTTRxgioU3PI8zJYHTo2SUCx\nW6w7zEm4XsKdkmjo0Uigk7B03HGD5g/ipJwacVFEkUVcioi+tJ30ul4krxPb4TPIigLJZBYZiyab\njdO+9UVmfXFPAJa9u4E/3vIcg30xRMvELwno6SyxUF72Y+YXp9CzfoDejiFM08Ajm6CoxDMWpmHg\ntwt8+duHc9xF/0k2leWPl99Py57NnPC9ryIIAkO9YW790UO0L+/Gsizciokginm6QhDwTmgAyyLS\nPgCAa582Zh42lXPPPhwBgf974W3+/upKhqNJsCzqJQ11KEXyvU4EKx8kiSoTNvLXGzOhHk9kmKUv\nLi324cW/P59x0/JE7j9eXMaSZZ1ccPaRuN02AO694s8seHAhpmFSP7aOC245i70/v9dm37Mawb0b\nYDtI7m0muFtaWnaKAaGGkRAlkTOvP22Lx+QyOZa/Xso/vWFZB2veWV8xWKxatK74e9fKjUQGSvms\nIx90ENhbQTDyxGoiY+HZcwwUZK3jsoZy8FiMAnEdS2awT3CSKwQPR8wscouDTDp/fpQsbTEbA8m8\nnem0aPlAJdSR/xilDYvEsY2EHXlSNmY3qG+QSPQVru+SqJvWSLwj38acbqL2DhJflye+jUgCNZEk\nLOU1kXQEPOODxYECYNX73QwWIsRNQQRNJtaT91iyTIs1SzuJDefbI4oSgsdNrBDRLkoSkt/LcRf9\nJwCqXeWi28+reOYbPuihfXleLl4QBNKiip41irGI0fb87HYTtZ1Y2sXXrvs6UiFi9oyvHsjjhQ8/\ngsBANk3zqr5i9tjIUBxtfAOk8iuSzvUD2DZ0VPThqjfXFAeLY46ezjFHT69o4+pFazALfTrQMcgH\nr68edbCooYZyjEpw1ziLGmqooYYaNmHUweKSSy75JNtRw0eEZVkj5C+qsbXykVISWy7frLzHluwR\n0hRVchzV8h7V1x9hV7bP3Iq8xwg5kG283xH3b5gVfzPNSrtau2xzWmblfWJZVuVNWVbFM7A204bq\nRhtG5TMwq+xqVEui1FDDaJCuu+666zZX8OqrrzJjxgwgH3OxKe8E5EX+Dj/88E+kgVuCZVmkUrmt\nH/gJweFQP5X2pFJZfn/js/zrH8uYvv84bHYVURaJ9UdYu6Q9r1g6dRwDA3H2OnAPnIU81KG+EBuW\nduSJ7CYfgiBg6AamYTJl1mRmHD2D7nX95LI6Hg3MgSEEu4YhiPg1Cbk7guFSyMoCzcM53IsH0X0q\nKafI+I0ivreTWB6JhBP8HpVEo46WEzEjJvU5ESmUQVHk/PVVEdv7YWSnQjQg4rdsmIaFTZbJpg3q\n4wKOjiR2VSZlmrhlGUmUsTs10gMRHG31SD4fNrtGyjRR6jSGghYZ02SfMY2sencDT9+1AFmAtG6i\nmTpSbz+aJpLRQXXbUOq92L1O0uEEiiqj2hXsLhvpZBZJEdFsCj3tA+xz6J4MdA1xy1m3s+K1lcw8\negah3jAPXfswRiJN2gABC5eVRZMhr21o4ZEMNNEkrecTIvnr3XSu7mOfz0/G1A3uuvReEos3EA84\nsIDWD3pQY0myloAlCPgnNiFpKrlsDsuC6fuNY+peTXQt78IwTAIHTmUgZbLn9DZcbht/vuZh5v7q\nCfbYdzy+xrzmWjKaYt3i9XlnhQYvfe0DjJs2hrq24Ij36tN6n0eD06lt/aBR8PO7X84m3CH9AAAg\nAElEQVSLd2Ujn62fZA/n/UfLNqlhjPacRyW4N+lAVf++OfvTwmeV4C5HOp1lzk8fZc2KvGvgmAl1\n/Oj6k6mr9xAMOrn/fx7n+ccWERrO7703j6/jkptOY8zkvAfVP//yLx7/9ZMMFdRk3UE3e8wcxw/u\nuQTVrvLGP5bw0HWPMLA2f31nwIXW1pxXo7XA4bUj+O0kO4axTLB77ZiTg6S7k1imhc2lMvB1F32+\nNAYWDlFhwgIB6/0Yhm6iagoOyyDZF0bPGig2hdiJbQx5JbKGgSqJtHaC/H6MbDqHrIg4fA4y8QyZ\nVA5JEnDKAjlRIpXKIYoC8hQfQ80yiWwOAfiCzc/Ac6vybRbA7bWR7R0gMZwP5PNNacNsrCceK0RY\n2ySIJokV8lV4Ak4sC2KFwLxJ01qIrOumZ22eL5l8wB4koik2rso/I2+TLy89XsiH4Wn0IVCyvc0B\npGCAaIEfGTOpASsSpv29Dfk+GBMASSJWIMI9jT6kPScQKaSu9fgcTJneysU/OQ5Zlljw4ELmz1/M\ncDz/Ya9v8hJMRli+cDkAwdYAF952LtM+PxWAt559m79c9wj9HYNgga/Ryzk3f4vPfblSuHO3IrgP\nmgO23SxOLN3P3P+eTlvbmC0etq2us9tMcFcvn2vYOZFKZGlf3V+0O9cP0ts1TF19Xhr7mLOP4tlH\nSvmVe9oHWb+8uzhYHHn6Ycz/7VPF8thQjH2PmoFqVwE46JgZPH5DSfwxMRzH3moWtz+SkRQBm0Ki\nsJuRiqTwJyxShe2VdDyLrAoYhROSZg57TiWm50/IZnL4bBLRQrRyLp1DExWyRv7DlzVMnGmRWCGi\nW8+ZaIJAtDDjNQwLJegi2l8grk0LXPmBAvLN7FrdS2aT1LoFQjpTHCiAvMdTrBRhbZkW8VBJqt00\nTOKRUsR21wddxMukyDs/6CYdL52fiiTIls3I40NRTL0sArs/giyUZm8dK3tgqCTtHuscRrWVkhdF\n+yM49iiJxUXDSfY7aCJywQvuqDMO58nnV0JhsBjojZDaWNIKGuoepv299uJgceBXPsf8W56GDXnX\n3nBfhPXvtY8YLHYr7I7Jj+IdtLVtu5zH9uJDCcSPpndfQw011FDDZwOjDha1AWLXgKGPlCcWqOq7\nqr7Uy86xrGrameqzR5y/FY51q7FPW82jQTVRvaXSreeA2EyFW2yfsINX0h/Hf5Keq+zDrd3TVvuk\ntnlQw1Yw6mDR29vL7NmzmT17dsXvN9xwQy3d6U6CcH+Euy/9Iy4rv3cvCHDokXux57TW4jGKKnP4\nSQegFbY1fPVuFjz6Bh2resimc9x+8d3omRyaI7/ttO+R0zn4hFkV9Rx5+mG4CxLXnklNJJpd2D35\nIC/3eD+hsU4cvjxp7m3xkRQFnJvKW9ykwyY+KW/Xiw6GvQKuQF4l1+t3kLSsfMAZUD/exj57L6XZ\nm99iCdjsDPrAXZ8vdwUd9LaKuJrztttjJ5PO4As4AXD67KRMnWAh1azbphFuseMenyf4HG4bpqzi\nb60D8pnn9MFhfM7887HZFYxoHK8/f77mUBBEAX9hH1e1KciSgL8pTxgrmoJqV8tsGYfbjr/JCwLI\nmsxRZx7OF79xKIIoIMkivolN+FoDiJKAIAp4xwTxTGxBViUEUcDX6MXhcRSl5/1j6rEBipp/Jn6b\nyPO3PsGG5Z1kMzn+cNVfMaJJNC1/DzMOGM+Xvn0EDl/+GU8/bG8OPfmgij496ozD8RTSvO45axKH\nfePQzb9kNdRQwKgE9//+7/9u8cSdwbX2s0xwJ2Mprj9+Nh3LuwDwTB3HYad9gdMuOKq4Kixvz7+e\nfJvHb3+B4f58UFuw2YfTTLPu3fUAOP1Opn1+KpfeeeFmI8KXvLSMu377JO3jgyCJeJIGznia9kkO\nLFnEG9VpWJtiUJVBltBEAZtbZvVEC1MVUewCrjqFxPtpBEPEnrEYs8EgOpAnyiXBYuyEODO+9x7O\nphSRuJtnX/pP+rvA0EHOmrQNC3SOg6RDQM4Y7LkMsoNJcgW+w9niprdFIpEfl/A77aSyWdI5A0E3\nmbgkitmXIJ3MYlkWXkknFU3k05QK4NtvT3KDYRIdeQ4osOdYDEkmUeAr3D47ejhKbGN+r99d5wbT\nIlbgPzx1bqwy29fo5WuXHMux5x+D9f/bO+/wKOr8j79mZnvf9AKh9yIIFhQb4IEUC2LFLpzo2fUU\nz15Q0fM4T1FPz3pFjpMDsfxULuqdeqJnAREpAiGEJKSRstnN1pnfH7vMllQkJAHn9Tx5nnx3Zmc+\nuzM73/L+FEVh+WOr+PiD7/Hoox2RQx+9Tg1BGQQBe8iPUlFNQyw40p5uQ7LZ8ASjM31rrgtCIeq/\ni2bJzeydjnNQH3ZujjkfZDkZdvxgfnXn6UiSyDcfrGP9h99z8QPnt1jz5If/buazFWu59KELVY0q\nkcNK4D75JbDktr/joYSvnBXXZ7UrcLdFS+L3fgvcbXUGO3bsaHWbRtfgq/dRsrlUbTdsLmbckRe0\nunw4ccZYlj/5vtquKa+jsSkese2t9TJi4rAWOwqA0SePRPxqC5RFvaYaLBLK4CwUX1QIrnfoSO+X\nAbEI6YCsEBplRQ5Ht4eaFBxlRnyRaGnSJqOAaNdDTJuPKAKjr9iLNSdWs8HmIc/ipzwcffKHDSKe\nsTZ8/uiDOGyUUNJFQmXx5ZhQLzNeQ7z0qU4U8MeWaxSdSCTTTKCoFog+fEWTgaZY/iYUkEvK8VbF\na4CHm/z4IvHvI+zxqh0FQDgQoimh/rXfFyDoi5+/yePn+LMnqOebcM5E3vpou7q9IRQbp8WuWQM6\npIa4sO7Z68XqTEMQYuncy2oxeOM1xKtKaghY4j9sb2U9w4fmIEnRBYMjfzGGI38xhtYYftxQhh83\ntNXthxWHaW6oVgsfdYT9LI7Uamexe/dulixZgsvl4pZbbsFiseD1ennqqaf461//yoYNG36agRoa\nGhpdzeHoDdXFtKpZ3HHHHbjdbqqqqvjjH//Il19+ybRp01i7di0vvfRSV9qo0Qqps4hgIO6uGQ6F\n8SaMUiMRGbmZ1JrcbvIluI8qCo21jUntSFN81IyiqAWR9iEHkgO4UqOJU9vhlHZTIHlWE0qJBwun\nSNtyoj2Q5J4KIKfaF0qxJ6UtpArpkch+uY03i0AXIBQrEhU9QfP3JF5CJSUCvKX3pAbhp37GtpRq\nRVHw7PW02tbQaItWI7ife+45XnjhBU455RQWLVrEm2++yfz583n44Yfp1atnpDX+OUdwm2wmAr4g\nOzfsQpBE0ob2o2hLBQNH9yYSCvHkvGd594VC+o3ui2TU8/Qjb1PvDyOEwkSCYSZMG83Rp46k6Lti\ngoEwGcP7UVpST16/TJxpVp751Qus+N1bZPfNIj0vjT/e8CJl761H5zTjN+vJEY1I1SEMJh0+IUL/\nbU1IP9ZgtBhpEgVMQxz4ZRmLQU+TEiZHNBPwR7AY9PiDIfL9RsI+GavFQKAxgH5MGuv35iBhIyt7\nN+u/mcDGrVlYTUb8wTDWPBMNjiB2k5GmphAFG+vRFf6IzaTDL+mx5ToIB8GlN9CgC5MZNmDcHcIl\nGWjQh8muCWPeUofVHo3IthgEFG8jFocFf6MfV7aTM2+KBrmVb9+D2W5CQsFskvCHFOxpVmb9cgo2\nm4HdW0qxOC2cfu1ppOW4Kdm8G4PZgMVmxuIw4/f50VvNOPrls3X9LoYf1R+LzYTdYcbnC1C8vRJJ\nJ/KLWWMZPLIXxdsrUYIB3I0edJKIHI6AACdfMJHRp4xm5+ZSwuEI7kwHepsVJRQm7A9GRfVAAMGg\nJyLDUVNGcNZVk9Hpmy8YBP0hnrvhRVYsXkV673Sy+2Typ1teZdmiFbiynS2mKj+sIrj/ug0Mzk60\n5jAgWM/8k+3Norv3O4I7sd72xIkTWbJkCUcddVSn2PjCCy+watUqBEFg1KhR3H///UQiEX7zm9+w\nZcsWBEHgrrvuYsKECW0e5+cscO9jzSsf8eZr/6UhFkSWnu1A9NRTvi0aXezOc2M5chjlpdHoYavN\nyNHj+3LF7TMRBIH1H27g5UffZm9VdBZhd1lw6MIUfxeNJrY6LWQVZFK0Ido2Wk1IU46gvik6ojUY\ndNjrGvHtiAaV6Y06/Kf2pcIY3a6XRKwWA3WxtX2dKJLVINFUGv2eJFFA18dMhSGMAogC9MmNUFwu\nIccytJp7mag2NqmBfQM+qUVavU2d2diOG4bHZSccm1nYM8wEGoIEY8K3S1RQtlYRjAX22cwSTXuq\nCMRKs2b1yeDqp+cz5OhByBGZpxY8x3cfbaTJE9VPMgoymf+HeYyaMAhFUVi55C36jirgyFPHoCgK\nr975N/77z7Vq6VV7tgvJ7aYxVr8ir18m9/75asyxH2HhO+sRBJg0/YjoNXzzK/55z+vU74nqKTa3\nlUmXnMz5v4mWwF373nr+9rv/oy6mp1jtJuSaGjzVUc3J6rIw7ozjuGpx65rV4guXsD6W0dbiMJPT\nP5sd63YCYLIZufzRiznhnGSPKE3gPszxlfPFY+OaaRb7LXAnkpaW1mkdxddff83q1atZuXIlBoOB\nG264gT//+c9UVVWRnp7Ou+++y65du7j44ot55513sNlsnXLew5Xx08fx+jMfqe3q8jqk+lq1XVte\nF49eBryNAQYe2Vd9qBwxaRTiE++p2z11PiKh+PKVt95HbSxNBUDA68cuiED0QRwMhjEEZfa9IxQI\nI5p1IMcisiMyBjFBJJZlzOjZFw8dkRWMDiOKP7pcIyvQ5HMiK1GbFcBglogkrL9YPGF8CcsverNR\n7SgAjLKIJxjfbgzINPjjI2RRkdWOAsBkNTPk6Gi9eVESGXL0IL6I1fmAaJ6nUROi2wVBYPbNp8e3\nCQJDjx3MBy8Wqq8F/WEiDXHhu7K0lkBTUO0sJs84gkTGHT2AP9fEnQ0aa72MPGG42j7ylOG89mg8\nyt7r8WMIxZe3vHU+Bo3MazM2am/MMQGi+aFqy+P3iL8xQEXRYe4OfzgK3B1M99E6eRQU9Onw3q12\nFrIs09gYf8gk/g/85If4uHHjWLVqFZIk0djYyN69e3G5XCxbtoynnnoKgIKCAkaNGkVhYSFnnHHG\nTzqPhoaGhsrhKHD3lHQfW7du5aijjmL8+PFs3bqV8ePHq+0DnWVIksQbb7zBpEmTqKurY8qUKVRU\nVJCTEy8Pmp2drQX/dQBBAEEUUl5LaaeopGLC/uFQuFka69RU383aKanHU9sROVl0bS5sK+1sT2mH\n2z5eRG5bSG/2+VKPHwonfUbP3uSBkSwrSRHT1aU1hBOEa1FK/RmlXg8I+Py0RkvX0JfgnBDyh1qI\nUk9+obE+vlwUCUeoKom7+Mqy3MwZIZKarr2d9PUaGq12Fps3b2bTpk1s3rxZ/dvX3rRp0wGfeM6c\nOXz55ZeceOKJ3H777S16nYhih1JX/axxZtg566pJmG1GDEY9My4/iTm3n4nVZUVv1DFt3mTOuWwi\nDqcZSScyecYRHHdKdImjtqKWxy96En/VXqx2E4IATqcRJSJjS7OCAO6BeURyMrFnRBMTOofkE1AU\nHPZoYFm6zYRfFHFkRGealiHp1FsiuGzR+IgsvRmKmkg3RdsZFgsNShCnOxbBnWmlIeQnzbbveBY8\nTX41AjtLNGB9s5TcQDRoLEsyU5efgTOWCNHZKx2vrJDmikZwu+wmQtU+0mP2uaxG/PU+NQLbnm4j\nmO7C3T831rZTX1nPksuX0ljv5fM3v+TjZZ/iznEhiAJWt5WQ3siSG16jvtrDt//6jkWzH2fxhUvU\npZ3x08Yydd5kdEYdZocZk9uGK9OOziBhsugxEeGpXz5HyebdLV5DV7aL2becgdVpQW/U48px8sbi\nlWxeu5WKXTUsuekvSDoRs82IKIk47QYkvYTFaUGURFw5Lgpf/Ziv3/sWT42H3178JA+c8ShfvPUV\njfVefnfpU9RXN2CPRcm7c1yE/EE1gnvctLGcdvXUn3wPavw8aFXgfuqpp7juuuuA6Cims3JFFRUV\n4fF4kmplzJs3D6PRyNKlSxk0KLo2fN111zF16lRmzpzZ6rFaKibTnQiC0G32fP7+d3g9fqbMiabq\n+N9731JdupfTrpwMwLovd7B7Vw0z58Rnhdcde4daWtXstmNy2agtikYDGy0GzH1yqTdaEAQBnRLG\nJMrUpDtBENDrRBw6HZ6SOgRAEkFXYGTrCBOIAjoF8hpMBDY1IACKTsAwxEF9pQ8BEGWZdIuZElMg\nqmoD6TYzNY3x7K65fgH5/SKksIKsEwhcMgBfSQghLEBEJn97NXVWO3IsOjnNZsK3uw4lJKMAjhwb\nTT9WIMcC5Zy5TjyKSFiJ3juuhjoaS6sIRQtOUDCiF1XF1TQ1+mP7uwnrTbF6FJCb76B2225VyO4/\nug/PfL1Y/W28ev8/eOvPn7HPo9fuMBKqraexIqoPZPfNZOn/HsXubnkJ9+O/f8azN71CXSzK3pXt\nxNa3F3tKop2S2WZECvipK446L5jtJvRGPQ3VMeHbZSUtx6UGa1rsZjJ7p1Mci/I3mPRYHGb1+Hqj\njvFTx3DPG7e0ODDrzvu5JQ5k8HhY1uBu3MXWJwcyYMCATj1sa99zq5rFhx9+qHYWs2fP7rT6FaWl\npSxatIgVK1ZgsVh4++23OeaYY0hPT+fvf/87d911FyUlJaxbt44HHnigzWMpitKjvDW603tk8Pjo\nDbPv/P2PGsxR0+L29B6QTe8B2Un2VZfFheumWg+6hECDgC+IOTMNIZa6OyzokPunQ0P0YR4Ky+jC\nEXXBJSKD/4g0kJti+4O1QWFfJIQQVrAFJfbJuLIoEs40gDceK6FPiR53lvhoCEdtEsMKaUUKTfvO\nKIkwogC5LB4nYAgreGOxEwJgqPfjTYioFkxGwr6o0C0IAoLNonYUEM21ta+jAFB0ehI2U7enTu0o\nAGrKa6mublR/XHkj+9EU/Cz+ndb78FfEheSq3TWUl9QSlFseeI05ZSS+hnhnWVfZQMga/3w+jz8p\ngrvJ40dI+GF767xJS4w+TxN1CXXVg/4QFqdFbYcCYfKH9qK2Nn7ORA4nbyh85Z1nSE/BV05tbV6n\nX6MeU89i4sSJnHPOOZxzzjnodDqGDBnC3XffjSiK3HPPPepM4v7779+v6k4aGhoarXKoekO16fG0\nf95MB0qHXGc7O135FVdcwRVXXNHs9SeeeKJTz/NzptHjx+/1Y7KaWtweaAqipEw3lZSEYqnXXQ4k\niKSKEg0e29cElMYwxAeuNBnk5P0TCgwBhBOH7UAwRcj265LtizSFwYQa9hyp90cjlve1vSntlIjy\nVBE5dbatCMmfXw6FUQRR/R7kSEpEuKLQ1NiE1RHVS+qr6pDlCGLMVVhJCQnX6SREqfXfkiAKSHod\n7HPzVRSUSPw7aimiXEoR11OdEVI/s5zyoesq6/hZcKh6Q3Wxx1NbtLoIuM91trGxkUgkov6/70+j\n57JzeyWLf/MP7r7hr3yzdnuz7eU7q3jsmpeRbXYc+RnoTAYyRgxASnPj6J2JpJeYfMnJXHnzNHLy\no7M7d7oV9vpI0+sQZJksSUcwEMLptiALYO+XhmFrgIJaAygKGVYLe/IUdCNsKIpClk6P/GMteX4B\nFIU0h5nA3iDZohkUhXSbhUZ/kHSbBRSFHMFMTboZw8S+yAI4+2UTKfXRyyuCLJNf5UdZv5tsbxAi\nMhmBMMGiKtJ0AsgyLoOIv9aLKzal7j0omwULZ3LcKUNBgPyCdG7+wxWcdP7xUdG4Tza4XGSM6I+o\nl7Cn21Ca/DikMKKgYDWK4G/Cne1CMkjY3FaQFRafv4TdW0v5+r1vefPxVTjEMDoJTHowhYI4sxwY\nrQbsaTYuvOdc3Dmtz5adGQ4uuOccHJl2DGYDrmwnOl8jZoOAJIJLF0Gv12F1W6PODFdP5bJHLyKj\ndzqiPip0g4A93a5ew3lPXEbOgGxEnUTGiP7INgeuPlFx353r4vNVX/LOc++3apOGxj5aFbiHDh3a\nTODa1xYEoVM8og4ULYK7OX5/kDsWvErVnujatsVm5Nb7z2LwiHg6hzvmPEnp9mi6V4NRj8GkU8uG\n6g06JkwZxrxF5wNQUVbL4jvfoLI8ejxJJ2Kxm9T61KIoYOzloq4pOmsQBAgdY6eaWBsYvD6Cf1d8\n7V0cncnecFxLsOSY2RuMawWZGPHsjbfzaiP4yuMDFLtRxLsrXobUnuXAU9WgLjM4Mmx4ahpVd9Pc\nvhnc8cKVuDIcKIrC/638mmMmDmbwsFyqqxt59ta/8L9Ptqq5oqwG8JVXE4rNTOwZDgKNfoL+qM02\nt41gIKhmmE3LT8Pv8avurla3lUgogj+mf9jSbPzyd5cy/rRxbV67fffPun99x7M3vIgnJlwbrUb0\nRj2NMZdeo8XAqZdN4sJ7zwWgeGMJv734SbWOut6oZ+KcCcz/3WUA7NlRwePXvkpVwjU0+r00xGYV\nok7k4gfOZ+qVU1q0p6dwQBHch6rA3biLL+7r2pnFfmsWmzdvPmjGaBw8IiEZT0K9aF9jgLra5B98\nY4KIGgyE0Jvit0EoGKZgZPxHlZ3nVovqAETCMrqEpQ1ZVpCMEvtCshUFDDoJYqsnCmDUiSRGGRgN\n8e3Rtg4ScgKadHo8Ce8wmA34Et5vEkUSP5FBEpPWo3U6KSkuwea04oq5/gqCwPTZ49VtgiDQZ1Qf\n1n4Yv98FUDsKACUSUTsKiC4HJaYi99V7k2pwh/zBpBrcfq+fgeMG0lEGjutPMCFJYsAbSEo4GPAF\n6TU0XuCqz4jeScJ2KBCi9/D44CCnfzZGqwmIdhaRsIyUsMQnh2U8NVpCQY226ZBmoaGhoXFIc6h6\nQ/nKgbzutgLQOoseTzSjqZHsPpktbq8oriLYFFCzhgqigMEg4Y+N9EVJSJoZQIqLqkCztNbV5XHR\nM9gUJORPTgUeTo0GDiYL1aKQLIWFUoTrVCE75E8WooMpx0vdHkrZHk4RssMpqcqbGn2EQ2E1G+t3\nH29k2ITB6vaqkqqk/VNrfOv0Uux7irYlfbT86b6oZ0EQESQBJRaZLkoSoi6ipkzX6XXUlNfiyupY\n1lNREjGY9Gr+KkEUEBK+U0EUqE1wiQWQDCnX2Jj809bpk8X7SIpYL7WQqfawoqd6Q7Wb36lrPZ7a\notUU5YcCh3uK8i/e/ornbniJtSu/IHdALtl9s5K2r/9oA0uveZ5P31hLer6b/MF56A06MrKd7Niy\nB1ESmH3R8Zxw6sik9+X2zWDHxt0EA2GsegjsrceW6URWFOxuK0UbdyPpJWxWA7+/YinlP+zCnp9B\nOCLjFGW8m3fi7J1FMCzjthpo2lWNPc9NICJz0sQhXHXWRLbX1FDV6CW/SU/k+3pcbiv+phDWvk5K\nXRHSLRb8/hDZSMj/3om9XxqNgky23ox/hwd3mhVfKEyWDL5/rcOdn4E/rOB2mmnYXYMr3YbfF8SV\nZqH+xxKcuW4CwQjOfDe1LhMuh4VgvQ9nmoWqTTvZ8vkWhp8wlHeffZ8/3/06Gz/bxJhTRvDWsx+w\n5k9rsKfZiSgC9nQbAZsVu8tCxOMjd0AOv1xyORl5aRRtKCazIIN5v72MvIE57Fi3MxpF7XRicdkh\nHMJsMyGIAiarCVESMVqNSDqR7wq/J3dATrNr2NL9ozfqyeydwbZvd6DIClanBUVWMMWObc/PZMf2\nGsx2E/2GRZej8gfnsv3bIoJNQWZc/QtmXTs9yZut96Bcin7YTWO9D4dVh7eyDke6jWAgxClzT+S8\n38xulrbksEpRvtIDaSPA1qtn/enM3HJ6L/r164/b7W7xr6szWex3ivJDgcNZ4N61sYT7Tn9EFUnt\naTYe+89DODOja+/1VQ38+sS7VNHTZDNx39u/oWBYdIZRvL2SSDhM/yEtT2H37KrmoXOXsDcWsa0z\n6rH170VjffR8oiTilEJU7YwK4aJBh7VPDp4fYykrJBHXEYNpjAnpsigw9qzx3HznGQiCgD8U5tdP\nLGfvx2Vq4J5hmJtdadF60ygKBaVhQl/sjg7aBRAmD8C3x68O4u2yH3/h92pRItfYIXgqGtTj2c0i\ntdvjpWUd4wZT47ZFfWIVhfSKOho27FBnTtn9sqjYGR9h5g7IZk9RpTpDcA7tg9dkRo6N4tP1Cnc9\nczmZvTMA+PLtr+gzojfZ/bIBeOP3b/POa/8lokQtMglhAtW1aqCf2W4iHI4Qij1w7ek2Hv/PQzhi\n+kkqqffPj19t57eXPIknljVYMuqw5GaqEeJ6o45rHjmPcbH0LVW7qtn27Q4mnHF0i8evr/Zw/7m/\nY8/GYvW1CWcdzXXPLeiQPd3NYSlwd4OA3R4HlKJco+vxeZrUjgKiqcITRddQIIS3Lv5D9jf6afLE\nZeA+A7La/LHnFGRAIC7KhgOhpISDckQmGIxvl4NhpIYEETQio0tIky3KCn1cVnU0a9LryKvXEY9f\nBiXPDIGYjYKA1RNiXzyyoIDTo6ipywXAVtlIIGEoYwiFklL06VLiGCSXOR48IQhIBjFpiS3kDyUt\nRQR8geQEepKgdhQAuky32lEAHD0zLowD5A7KVzsKgAhiUkR4KBhOiiWJXsPkJbS26DU0L6maXyQQ\nRtEbIBjtLUKBMJ66+DXPLMggsyCj2XH24cywY0xZZMsf1DPWwzV6PlpnoaGhcfjTUwXuHiRgt4fW\nWfRQTFYTBrNedcE0WY3oDPHLpTPoMNlMNMXcYI1mAyarWd1etq2c0o1B8kdExbGK4iqqdlWpRXX2\nlu1FVhJGmQJEmuIutYoiE0kUiiWRiM0CFfHcRImiqaIolG0pUduhUIT6BGFcURSUzXugrz26DCUr\nBCtq1bgdRVEIllSB264uU4Wk5Nsz2NCIokQjqhUgZExeWw1V1EFOujq7CNUlB4+Ggyk1wm1WEBsg\nFvWsRJRo0aZYBHZ4bx11lfWtCtNVZXWIkqCmaDeYDYSNenUGaDAbEERBXYYy2OQScw0AACAASURB\nVKzs2VVDen5ai8dLpWJnVVLEt6gXEYIJua6MOirq4zOLuso6itYXM/bUaHElT62XreuK1WUqAL0p\nWQg3mA0dsuWQp7sE7kNIwG4PTeDuRDpTEHRlO0nPS2P7t0U40mxc/tglDBjTT91usprIG5jD9m+K\nMFoMXPLQBYw+OSpkf/uv73j22j/x0eufYrQY8TX4WHr183yy/DP0sYfZ0wv+SENVA1ZXNBW5zWUj\nUOfB5jQjKwo2JYjf04Q93UZYr8N11Aj8BhOObBeRWg/TrzqVuXfNZteWcuoq6rAJIXZ+s43aynry\nRvVhydI1/FhSgyvDTqDGg7uhDu9XO8mSRRpcRvr/txTPxhLcaRZ8IRmXXqF+Swnpegmf2UCWwYjH\nGyGtfw5NpVW4s13UldXgcpnxy+AelEuDLOAekIu/vAZ3lgNPcSVpKAQsRtKr6vBuK8OV5STgD+DK\nctFY78WV6SQUCOEaM4gmmx1n/1xCdR5cvbMJBsFu1hMRRWxBL42bd7G+cAN9RxaQlpf8gH/vL5/x\nzqv/wWQ2IEoCmXlu5j1wDoPG9mX7t0W4c5zM++1ljDh+GNu/LcLgsqNLc/Hd59twZznoNSC7zfvn\n2zXref7Glwn4ApjtZkRJwmw1E/b6sNjNkGZDNyyPzSU1iKKAWO/lqav+yMd/+wQ5EsHotLL09mV8\nvPIrQoEww8b3QxAEBh01kKLvimms9TJ9wS846+ZZrabz0QTuw1PAbg9N4O4CDoYguP3bHRitRnoN\nzm9x++4tpQR8AQaMjQpkTY1N3HzsHdTHXCslg4TFblGDriS9hNVlpSG2XZAErHYLjTH9Y18Nh8Z9\npVgFcB47Go8/vtZ+wsSBXHXXmUA0k+ld0x9i98b4rCJ99nHsaYyPgNO37aZhxx61bc9z4UnIeOvM\nclJfGZ+xuI4ZQUMwflva62up3xFfRnAdOYQGJT6rsTfWU/9jgtCd46JhT/z4jnQ7DQlBZ45hfWg0\nWePvl8BbFldXLAZoKC5XR6L5g3N5/JNF6vavCjfy9O3L1CJK9jQrd700n9yYe/OWL7ZiT7eTNzCa\nVuPz1V/zwqLVasEko8XA4pU3kpYyY9l3//g8TdwyIeEa6kWMZqOakVbSiUjTjsYbO54oCmRs2EFt\naTSqXRAFMkYNpLYqfg0vWXg6U849BoCmRj8b/r2Ro2d0LKK8p3BICtw9UMBuD03gPkTZ1wm0Rq8h\nyZ1IJCwTSIj+jQQjScJ4JBRJiktQIkpSYTdFVpIr6ykg6iVI6CxyEkbFBpMeiyV5JBJJqYSnT/Hx\nN0oSifHChpQ4EINBBwlLRoaUpRO9SQ9N8SWy1PfrU1xAdSkxB1LK/lJKAkURkpYsgilxHt5Gf1K1\nPUVWyMyL53wacszgpP2z+mclVdYL+IKEg8lxDonI4Qh+X9y5IBKSkY0JQndYJjE/oCwrBBO+LyWl\nsh8KSbEyZpup3Y5CQyOVnjX/0dDQ0NDokWgzi8MMnV7C6rSobrdGiwGz1RRvmw2YrCZ1SUNv1JGY\neEjSSyQOq0VJTErNLYiw+4cSYAIAntrGpPrP0DziOpDi4hpMcR8NNCWnLg82BUgcxxjMyTOXYKMf\npLgwq08RaUMpEd0GkyEpAlsOhBEsRtVtVo5EkoRqhej3sK9utdluTjpe+Y9l6A0SodjsQBJh16ZS\n+o+OCpXfrlmPI9OhakwWmwmLzYgvlj/K5jRjSJjtbPliK0F/iJNnR+Mjdm0swWCMR3AbLQbMNpOa\nf0pv1CMmrB7rdWJSESSdUYfRbMBTF73GoiS2WtL1Z0N3eUMdQt5O7aEJ3J1ITxAEdQYdA8b2Y8f6\nnRhNei59eC5TLp/EjnU7EUWBix88n+kLplK0bicBfxCjSU9Tox9Hhh1BFDFZjfg8TbgyHAiiiDU3\ng6aGII4cF4ogYGnysX3N19SU7cWRYeepX/6Rks27cee4iIQjuHpl46nw4OqVTlgEQ38r20eayA2I\nKDU+XL2zaIjocKdZCfr8Mb2iIVoXOhDC3TuL+roA7hwnIVnhuFOGcePjF+Kt9VKyaTfOTAd128tw\n90ojLOkYN2EgtzwxFzkUYeeGXTgzHdRXNuDKdhIJy4w+eQS3vHYdRouJovU7cWS78TRFcKbZwKDD\nZpSo/+5H7A4zokGPzW7Cs7sCq92MKIn0G92Ha56ejyPdjqIoLH90Je8/9x4Gkw6DzYLFasCzaw/f\nvv8N7hw333ywnr/c+3e+evcbnJkOCob3xu6ykj8wmx3f78aRZmXefWdTMCSqZ3z0t0946bY/88Xq\n/2EwGSjZXMrLd/wVvzeAzW3D5rJy2aMXMeXSSRSt20koGEZv1BEsq8HePztai7vOR9gTxG4zoDfo\nOP/OOcy+fhrFm8vxNjRhJMy2z76nvrqBUSeN6LCg2hPu50QOSOB+9v1ozE2osfP/PDtYcX0mt5ze\ni/kn25P/To16O/U0EbstNIG7C+hJgmBtRS1COIwrPyq6emo8VO2uof8RfQForPdy2wl3U1cRF4It\nLgu+hCAvR798fIGYWylgNSg07IwL1en5aWpabABX/140+iPq/qGzB1Lqjs1KFIWR71XiLfXFmgo2\nIUh9Wfz97v55ePzx0f2wiYO54w+XqN46j81dwrp/bVD3H3TKKO79241qxtUn5z/DF6u/Urf3Gdmb\nh96/BymWC+v5O17nk//boB7P5jBQt2WXGrhnz3Hj2RMXutN7pfPYvx/EbIsWkPrkH//l2ev+pM5Q\nzGl2/PVelJh+YXFY8Hub1BmKzWXld188is0VFdPLd1Yh6SWyYq6ze8trufnYhaomIulE9CZDPBhT\nhHmPX8qki04CoK6ijttPuVd1VpB1IvYRAwjEhGw5EmHmJcdz/q2zgGiBq9unPEDltjL1M829/zxm\nLJhKR+hJ9zP0YIH7EBSx20ITuH9muLPdST92e7ode3r8JrA5rc1yAUkpox+d2aRGXAuAGEhOKJha\nlc1gM4Hfq+4vOCQg1lkIAvo0O8Q6C0EQmvn4G+yWpPe7bKYkt860lMJBNp2YlJo7NX7BbLeoHQVA\nRp+spOPpwqGkCG8hkrw8ptNLakcBzSPACYXUjgIgHA6rHQVEI7gThfDcvsnJICPhCMFE54OwjJAQ\nFY9MUrEke7o9yX4xLCMlLPmJkkRGQfwcRrOhWZS7HGpdWNfQaItDZ26koaGhodFtaJ3Fz5Si74pJ\nHCYbrUYszngBbYPJgMUeH1XrjTosjrjQqzPqUYzxtqiXCCVEfCuKjH5tCexL4w1JxwMICQkTW0Eg\noDckDdwrSmrUJZpwMEzp1mSRsiYi4E3In+VIsyfVnLYmfB5FUSjZWk5i9nSry5bkVmt1WKJieIx9\ny0f7SMtzY0qYaejsdkxOe9L+Vlf8nI4Me7NU4YkYLUZcWS61bbabMSac32Q1Ufz9LrUtCAL2NGvS\n/pYE8d1oMeDOjCcpLNtRSVgXdxPWm/Rtpknfu6eWN596p9mMUUMDukngXr58OQsXLmT58uV88MEH\njBs3Dr1ez2233cYf/vAH/va3v9G/f396924tRD6KJnC3TWv2fPbPtbxw0ys0VDfgyHRitpu4dNFc\nzr7ldIp/KCEUCHHxA+dzzk0z2L1tD/6mAOffMI0L7ziL0q2l1Nc3YSvIw+ML4e6VgRKRcfTLp6G2\nCVemnYjfj0UJ4vuujLwGBX9/F3OPOZIHbppN2c5q9hRXY3dbaaj3k9Ynm2AwhOvo4dT7I7h7pRHx\n+nG4bezZWc3mb4rIznPxws0vs+nzLbhynIQVAdfRw6n0hNi4bhcDBufgSrMy+OhBSDqJHd/tZPy0\nsVzz9Dx0eh1+X4Dn7lzOVx/+EBW2BRg1YRAP/u1XWNw2tn9TxJBjB3PrazeQOyCLbd/sYNC4AVz3\n/ALMtvjDOKd/Njn9s9j2dRGW3Az8ioTRZcdo0dN7UA43vHgNo04cwfZvi8gqyOTa564io1d6q9fH\naDEy5OhBbF9XhAIoEZlwKII93YbBrEdRFDZ9voWAL8iIiUMRRZGRJw5n54ZdCJLAFYsvYua8SRRv\nKUeWZS66bSbHnDoKgG/+vYnn73mDmhof7rw09ILC3HvO5eQLT2jRli1fbOXpq/7If//5BSWbdzNm\n8igcLkuPup8PSOB+4RNQZAjWd/6fr5z5p+bhdrdeX/1QoscI3Js2beLaa69l1apV2O12Xn/9dd57\n7z2GDRtGOBzmrrvuYteuXVx88cW888472Gy2Vo+lCdxt05o91469hb0JEctzbj+T2TefDkRH8OU7\n9qjFlCLhCGVFVfQelANEs9Hedd5T7I7V8AZwpFlp2Bs/j40AdQnC9TEXTeSGJ64gPd1KdXUjj8z/\nE5u/3qludw7IpjYh4jtNgroE+9KsApU/xkXatPFDqYvEpwhHHNWPXz94ttreuaGYPiML1PX9Fc+s\n4c0XPla35w/MYtGy68jMslNT42XXDyXkD85T9Y2STbvJHZCTlIsrkbdf/IjlT/8r/nmdFhavvAG7\nO3qvVhRXYXWasblav3cT2fVDCfec9lBS8J/BbEgqrXrra9dz5NQxQDRbbk3pXvIGRT2qgoEQVaW1\n5PeP18q4ffbvKS+KF3WaNncCF946s1Ub7p/1CFu+/FFtz7p2Otf+/tIedT8fkMB9zKNgar2WyH7R\nQr6ngoI+zYI7D1V6jMBttVp56KGHsNujBo0cOZKXXnqJ8vJy/vCHPwBQUFDAqFGjKCws5Iwzzuhq\nEw97EkVXAGdCfQWdQad2FACSTlI7Coj67LdXhS21nWaJj84FQUgSjfedM7EId+pDOnU4Ixl0SRHc\nqeOdvqNSErOlvN9g0CeJ+wXDk2ewvYf1oi3sqfUoBJI+U2tVDVvD5rY1uyapHzqxsp3RYlQ7CohG\nsCd2FABKylKSu50qfYf90lP6EZ3nDdW4i169Dh/vp47S5ZpFQUEBEyZEA7pCoRBLlizhtNNOo6Ki\ngpyc+EMpOzubioqKrjZPQ0NDQ6MFus11tq6ujptuugmr1cr111/PSy+91Gyf9gJZBEEgPd3a5j5d\nyaFgz7eF3yHp4t+rPc3GgFG9O2x30eYy/L74LMBg1CXV4NbpJSKh+HZJL1FaXI3DZowuCwWD7N1d\nHbdRFHCn26jau8+lFtwZdqp3xpdQwsFQUs1rt9tCbcCLHGvXVzYgB4JJ+Zn2EQlH2LWhGL1RpxYe\nysx1kp5u/cnXa9DwvKSlt4xcFxmZdiTpp429jFK0cFH59ujgKC3HhcFsYE9RdKnPne1kwIheqq3f\nFn5H0YYSZt84A4ANn2xi09ofOefWeAbZjBwne4qjiQXNViN9h+S0+Vkz89P48avtQNSZoc/gnB53\nP/ck3G7Lz+676ZbOYufOnVx11VWcdNJJ/OY3vwEgLy+PqqoqXK6od0hlZSVjx45t8ziKovSoNdWe\nrll88GIhK377Jp7aRtyxB9JlD8+l79gBHbL7f//6nteXvEd1WS2uTDvBpiBCk4+ajSWkD+1LUFYQ\nA35qy2pw5zjxe4MYM9z8sGEPCy9cyuxLj+flu16n5IfdpA0uICxITL/kBGZcfiLLX/4P//5gI1Nm\nHsHsi47jn8/+izXL1qJXIuz9sRxXtpNAU5CTz5/I3PvP4903vuKt5V9gQGHX/7Zz59xnufSO0xk6\nLp7Gva6ynueuf5HvPvoeZ+8s9HYrR0wcwpX3nEVNjfcnX6+8QbksWHQury1+i7QsB7984Gzq6pra\nf2Mb3PzK9bz061fwevzM/+2l2NJsPHfDi3jrfFz52MWk9cmmpsbL+3/6F/98YjXeBh9bvimi3+g+\n/POJ1TTUeNjyTRHzn7gUvVHPrx67gBfu+SfFW8q44ObTGHbMoDY/61VPzUM06Njw8UbOvu1Mjjtv\nYo/7fR2IZtGp6T585dTW5vWo76Yzae177nKBu6qqitmzZ3PVVVdx0UUXqa8vXryYcDjMnXfeSUlJ\nCRdeeCGrV69u08NAE7jbJtEeOSLzqzG3JKUCn3vvucy4ZlqHj3f3BU9TvDn+o7MSpL6sRm278tKS\nhO30YX2pr4/nfUo3Q8X2+PuPm3Mc1y6dp7arKurJzI6vrf9+/rN8ufp/anv0KSNYuOwWtf3svSv4\nfPU3anvksQO57dnL1fayRW+w+g/vqu2+Y/qx6L271NH3gV6v2qoG7C4LOn3njLksRpGK8gbsaVFh\nPNgUjKZeiekNkXCEa8fcoqYuh6i7bmNCed3LH72IUy+fBESveW1VA+k5LjqCoijUlO5VPbh62v18\n0ATudgsUNedwErRT6TEC91/+8hfq6upYsWIFb7zxBgBms5kXX3yRu+++m5kzox4b999//2HjitZT\nSB0XJMZVdOz9yW0ppWZO6iKMZNAD8c4itcaOyZKcKjyxowAwpqQmN6akQreak7c3J/mEeklstdDP\nTyExpqEzMNvM2NMSUq+bDc2i3FOvgdzGWE+UxA53FBBdtmzL1feQpi2B+2cqWO8vXd5Z3HTTTdx0\n000tbnviiSe62BoNDQ0NjY6gRXD/XBAgq3eG2rTlpPHjpj3NZhttkZEbH6UaJIVIQh4jk81IRn58\nJqg36gjW1KmitN6oSxq16ow6svu07fee3ScTMSbGC6KQZL/P42PHF5uREnIfJdoHkDsgG2NCgJFn\nr4ft64o69Fl7IoIokNk7/h26clxkJOTDcmY61Op8GhqdjZaivBPpyRHcgiBw1MwjKf2xnCZZJGIy\nUfRDGWXbKxk9cXCH1t3HTx5ObaWH6uI9KA0NeGo8uHNcmO0mLn/0Yubeex7eBh8VOyvRG/U0VNTi\nchoxOS1ccOtMblhyMZ4GP5W7qjjvjtmc9stftHm+YccNxWQ1UbJ5NzOuOY1z75iNIAiUbN7Nk1c+\nw7b/bcNmktBbjZw6dyJzfz0jaZmp78gCsgoy+fGr7ZhsJqp317D+ww04MqKpw3vy9WoJQRA4euY4\nSreWoTfquWbpfE6/bjrl2/YgiAJXPzWP4ccP7TJ7upoDiuD+6zYwtBJrEqxn/sl2bdk7Ro+J4O5M\nNIG7bVqyR47IXD91MQ37amwDl991BqecfXSHj3vHlPso3hDPWTTjmqnMvfc8tX3/6Y+w5Yt4NPDk\nS0/myscuUe1prPM2y7vUFt56L1ZnfP+XbnuNf736sdoeceIw7vzHr1t9/1/uXca7z32gtvuP6ctD\n799zSFyvlpAjMn6fH4s9qjnJskxTox+rY/80qM6yp6s4IIH75JfA0sqsy1fOF4+N0zSLGD1G4Nbo\nXkRJTEq291NIjSdIrWSXmBYcmtfI3p+OAkjqKIBU3Rqdru3b2JgiEh/qiJKodhQQjUfq7I7icGOY\nrYRNvuT79Oqjq7ls9slAtECRRttonYWGhsZhjzW9H1jGJL2WkfWDNpvYDzSB+2dIXp+4UJye60rK\n/dQRcgfE97en2eg9LD/5+ANz1dG/2W6mVzu5ltqialc1S695Pik9ea8h+apwLUoieQPbtr/38F7Y\n3PHZSW47+x9MFEXhzSffYfVT73bYuaDwzx/z+kP/6LL8TVu/Leb5u9/AU9dzlqA0uh9N4O5Eepog\n2Jo9x0wdRVVZLXq9jmsePY9+w/fvYT7+tLH4vQF8DT7mPXE546Ymj9jGTBkNCtRV1nHZI3M5fvax\nbdrTGhs/3cTTVz/PD59uZv1HG8jqk0nugBwGjO1PZu8MSjbtZvqCqZyz8Kw24yd6DcmnYERvdn5X\nzInnHs/liy9GEIQuv17hYJjnb3qF/3v+A374dDPVJdWMmTJaTWqYao+iKPzl3mWsXPI2m/67hV0/\nlDBmymj0hvbiS346n6z+hlcWrWLrul2s++xH+g7Px5VxAJHTnciBCNwvrFpPWTgv6bWTelVxzBED\nD9Ssw47WvmdtGepniMGoZ8FD5xAKhpvpCR1BFEUuuv88zr1jNgZT8/cLgsCc287k9OtntLi9o/xn\n2WeU/RidUVTurOLfyz7lyF9EO6bjZx/LUdPHdfj4R5wyimFrhh6QPQdK2bZyPln+GQAKCv9e9hkz\nf3Ua+YPzWtzf7/Xz79c/i5ZzBb76v2/55oP1aud7MPjPm19RVx11ftj2XQn/fWcdfYZo7rgaWmfx\ns0UQhJ/UUSTS3oP3gB/M7ejw+3v87uwoDh2ENpuHKn0dDZgMXye9lpOW0creGi2hdRYaGhqHPc/c\nc2l3m3DIowncGj2W/mP6qTWvDSYD/Y7o1847ejZpuW76jY67aPYf0w93G7mb9EY9fUfH8xn1GppH\nv9TCTp1M36F5iLGkX850G/1G5LfzDo2fC5rA3YkcKgJ3d7G/9gw8sj85/bMo317BuQvPYuq8Kd1q\nz4FiMBs45oyjKN+2h7zBedz08q+wJMRHpNojSiITzjyamtJaHOl2bnzxGrLaSZFyoIw+fjAGox5P\nvZcbHruA4cf0HAH4QARuX0INFo220SK4u4CeFvF6uNgjy3K7hbC60p4DZd9PLtWDqzV7FEVBUZSD\n8h20hizLZGbae9T9cyAR3FVVnk605PBGi+DWOGTpyodkV7C/adIFQejU1Ood4XD7zjUOHO2O0NDQ\n0NBoF62z0NDQ0NBoF62z0NDQ0NBoF62z0NDQ0NBoF62z0NDQ0NBol27tLBYuXMhrr70GQFNTEzfd\ndBPTp09nxowZfP75591pmoaGhoZGAt3SWRQXF3PFFVfw/vvvq689+eSTpKen8+677/Lss8+ycOFC\nGhsb2ziKhoaGhkZX0S2dxd///ndmz57NtGnT1NcKCwuZM2cOAAUFBYwaNYrCwsLuME9DQ0NDI4Vu\nCcq77bbbAPjss8/U1yoqKsjJiRelyc7OpqKiostt09DQ0NBoTo8RuFuqAqZFkWpoaGj0DHpMuo+8\nvDyqqqpwuaJZOCsrKxk7dmyb7xFF8YDyxRwMNHvaRrOnbTR7Dg6Hy+foTnrM0H3SpEksX74cgJKS\nEtatW8fxxx/fzVZpaGhoaEAP6iyuu+469u7dy8yZM7n66qu5//77cbvd3W2WhoaGhgaHeIpyDQ0N\nDY2uocfMLDQ0NDQ0ei5aZ6GhoaGh0S5aZ6GhoaGh0S6HVGexfPlypk+fztSpU3n88cdb3Mfr9XLL\nLbcwa9YsZs6cyRNPPNGpNhQWFjJr1iymTZvGHXfcQTDYvLbv0qVLOe2005g6dSovv/xyp55/f+2J\nRCI8+OCDzJo1i1mzZnHnnXe2aHNX2ZPI9ddfzyOPPHLQbNkfm9555x1mz57NzJkzufXWWwmFDl5t\n7o7Y88gjjzBjxgxmzZrFY489dtBsSSQxV1sqXXlPt2dPV9/TGjGUQ4RNmzYpkydPVhoaGpRIJKIs\nWLBAWbFiRbP9Fi1apDz44IOKoihKMBhU5s6dq6xatapTbKiurlaOO+44paysTFEURbnvvvuUJ598\nMmmfwsJC5ZxzzlECgYDi8/mUs88+W1m7dm2nnP+n2PPKK68ov/rVrxRZlhVFUZSbb75ZWbp0abfZ\ns4/XXntNOfbYY5WHH374oNiyPzatX79eOemkk5TKykpFURTlxhtvVF588cVus2fNmjXKeeedp0Qi\nESUcDitz5sxR1qxZc1DsURRF2blzp3L55ZcrY8aMUV599dVm27vynu6IPV15T2vEOWRmFh9++CGT\nJ0/GbrcjiiJz5sxh9erVzfY7/vjjufLKKwHQ6/UMHjyYsrKyTrHh008/ZezYseTm5gJw3nnnNbOh\nsLCQmTNnYjAYMJvNnH766S3a2VX2jBgxghtvvFGt4Tx8+PBO+z5+ij0AGzZsYM2aNZx//vkHxY79\ntemtt95izpw5ZGZmAnD33Xczc+bMbrNHlmX8fj+BQAC/308wGMRoNB4Ue6DlXG2JdOU93RF7uvKe\n1ojT4zqLVatWMWLECEaOHMnIkSPV/7/++utmuaP27NnT7P0nnXSS+kPcvHkz77zzDlOmTOkU2zqS\nv6qlfVqys6vsGT9+PAMHDgSgvLyc1157jdNOO63b7PF4PNx33308+uijSJJ0UOzYX5uKi4sJBAIs\nWLCAM888k6effhqHw9Ft9vziF7+goKCAE044gZNPPpnevXtzwgknHBR7IJqrra3OsSvv6Y7Y05X3\ntEacHtdZnHnmmWzcuJHvv/+e77//Xv0/Pz+/2b5tPWzWrl3LlVdeyT333MOgQYM6xTalhZCUVBs6\nsk9nsT/n2rx5MxdddBEXX3zxQYuM74g9d955JwsWLCAvL++g2PBTbAqHw3z66acsXryYFStW0NDQ\nwJNPPtlt9rz++ut4vV4+/fRTPv30UxRF4emnnz4o9nSErryn94euuKc14vS4zqI1cnJyqKysVNuV\nlZVJo51Eli9fzs0338xvf/tbZsyYcVBtyM7ObrZPVVVVh+zsCnsAPvroIy6//HJuvPFG5s2bd1Bs\n6Yg9FRUVrFu3jmeeeYYzzzyTZcuW8dZbb7Fo0aJuswkgKyuLE088EafTiSRJzJo1i/Xr13ebPR9/\n/DFnnHEGJpMJo9HIOeec063FwLrynu4oXXVPa8Q5ZDqLSZMmUVhYSF1dHZFIhBUrVjBp0qRm+61c\nuZKlS5fy17/+lQkTJnSqDRMnTuSbb76htLQUgH/84x9Mnjw5aZ/JkyezevVqAoEATU1NvPXWW832\n6Up7Pv/8cxYuXMgzzzzDrFmzDoodHbUnOzub//znP6xcuZJVq1Zx/vnnq94s3WUTwJQpU/jwww9p\nbGxEURQKCwsZNWpUt9kzYsQI1qxZgyzLyLJMYWEho0ePPij2dISuvKc7Qlfe0xpxekzW2fYYOnQo\nv/zlL7nooosIh8NMmDCBCy64AIBly5ZRVVXFddddx+9+9zsUReHmm29GURQEQWD69OnMnz//gG1I\nT0/noYce4uqrryYcDjN48GAeeeQRPvzwQz766CMefPBBJk2axJYtWzj77LMJhUKcfvrpnHTSSQd8\n7p9qz77llAceeED9PsaPH39QHtAdsaer6YhNU6ZMYc+ePZx33nnIsszwPtCyVwAAAVBJREFU4cNZ\nuHBht9mzYMECHn74YaZPn47BYGDUqFHccMMNB8We1uiue7oj9nTlPa0RR8sNpaGhoaHRLofMMpSG\nhoaGRvehdRYaGhoaGu2idRYaGhoaGu2idRYaGhoaGu2idRYaGhoaGu1yyLjOavy8KS0t5dRTT2XI\nkCGqu6SiKKSlpfHSSy91t3kaGoc9Wmehcchgs9lYuXJld5uhofGzRFuG0tDQ0NBoF21moXHI0NjY\nyFlnnQWgLkVNmzaNq666qpst09A4/NE6C41DBm0ZSkOj+9CWoTQ0NDQ02kXrLDQOGbQ0Zhoa3Ye2\nDKVxyODz+VTNAuK6xSuvvILT6exGyzQ0Dn+0rLMaGhoaGu2iLUNpaGhoaLSL1lloaGhoaLSL1llo\naGhoaLSL1lloaGhoaLSL1lloaGhoaLSL1lloaGhoaLSL1lloaGhoaLTL/wMauCzBIaTGhAAAAABJ\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d4cf320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"valid = np.isfinite(fret_2cde_gauss)\n",
"print('Number of bursts (removing NaNs/Infs):', valid.sum())\n",
"g = sns.JointGrid(x=ds.E[0][valid], y=fret_2cde_gauss[valid], ratio=3)\n",
"g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n",
"#g = g.plot_joint(sns.kdeplot, cmap='viridis', shade=True, shade_lowest=False)\n",
"_ = g.ax_marg_x.hist(ds.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n",
"_ = g.ax_marg_y.hist(fret_2cde_gauss[valid], bins=40, orientation=\"horizontal\")\n",
"g.ax_joint.set_xlabel('E')\n",
"g.ax_joint.set_ylabel('FRET-2CDE (Gaussian KDE)');"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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CZGQzli5dzltvvcubb87DZEonLy+Pf/zjKR55ZCpLlnzJoEF38Pbb86sdm3A+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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d4cb208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"alex_jointplot(ds);"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## ALEX-2CDE Definition\n",
"\n",
"To compute ALEX-2CDE we need to define ([Tomov 2012, eq. 10](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n",
"\n",
"$$BR_{D_{EX}} = \\frac{1}{ N_{CHA_{EX}} } \n",
"\\sum_{i=1}^{N_{CHD_{EX}}} \\frac{ KDE_{D_{EX}i}^A }{ KDE_{D_{EX}i}^D }$$\n",
"\n",
"and the analogous ([Tomov 2012, eq. 11](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n",
"\n",
"$$BR_{A_{EX}} = \\frac{1}{ N_{CHD_{EX}} } \n",
"\\sum_{i=1}^{N_{CHA_{EX}}} \\frac{ KDE_{A_{EX}i}^D }{ KDE_{A_{EX}i}^A }$$\n",
"\n",
"Finally, *ALEX-2CDE* is defined as ([Tomov 2012, eq. 12](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n",
"\n",
"$$ ALEX-2CDE \\left( t_{CHD}, t_{CHA} \\right) = \n",
"110 - 50 \\cdot \\left[ BR_{D_{EX}} + BR_{A_{EX}} \\right]\n",
"$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ALEX-2CDE Implementation"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"bursts = ds1.mburst[0]"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"ph_dex = d.get_ph_times(ph_sel=Ph_sel(Dex='DAem'))\n",
"ph_aex = d.get_ph_times(ph_sel=Ph_sel(Aex='Aem'))\n",
"\n",
"mask_dex = d.get_ph_mask(ph_sel=Ph_sel(Dex='DAem'))\n",
"mask_aex = d.get_ph_mask(ph_sel=Ph_sel(Aex='Aem'))\n",
"\n",
"KDE_DexTi = phrates.kde_laplace(ph_dex, tau, time_axis=ph)\n",
"KDE_AexTi = phrates.kde_laplace(ph_aex, tau, time_axis=ph)\n",
"\n",
"ALEX_2CDE = []\n",
"BRDex, BRAex = [], []\n",
"for ib, burst in enumerate(bursts):\n",
" burst_slice = slice(int(burst.istart), int(burst.istop) + 1)\n",
" if ~mask_dex[burst_slice].any() or ~mask_aex[burst_slice].any():\n",
" # Either D or A photon stream has no photons in current burst, \n",
" # thus ALEX_2CDE cannot be computed.\n",
" ALEX_2CDE.append(np.nan)\n",
" continue\n",
"\n",
" kde_dexdex = KDE_DexTi[burst_slice][mask_dex[burst_slice]]\n",
" kde_aexdex = KDE_AexTi[burst_slice][mask_dex[burst_slice]]\n",
" N_chaex = mask_aex[burst_slice].sum()\n",
" BRDex.append(np.sum(kde_aexdex / kde_dexdex) / N_chaex)\n",
" \n",
" kde_aexaex = KDE_AexTi[burst_slice][mask_aex[burst_slice]]\n",
" kde_dexaex = KDE_DexTi[burst_slice][mask_aex[burst_slice]]\n",
" N_chdex = mask_dex[burst_slice].sum()\n",
" BRAex.append(np.sum(kde_dexaex / kde_aexaex) / N_chdex)\n",
" \n",
" alex_2cde = 100 - 50*(BRDex[-1] - BRAex[-1])\n",
" ALEX_2CDE.append(alex_2cde)\n",
"ALEX_2CDE = np.array(ALEX_2CDE)"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(2858, 2655, 2858)"
]
},
"execution_count": 71,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ALEX_2CDE.size, np.isfinite(ALEX_2CDE).sum(), np.isfinite(ds1.E[0]).sum()"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of bursts (removing NaNs/Infs): 2655\n"
]
},
{
"data": {
"image/png": 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1RAGQz5TxeQ65iXmaFEUhm6tiVW2siSJ2OZXHHhquJwqA9PYBdFWhlKuN6PY8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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x123def908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"valid = np.isfinite(ALEX_2CDE)\n",
"print('Number of bursts (removing NaNs/Infs):', valid.sum())\n",
"g = sns.JointGrid(x=ds1.E[0][valid], y=ALEX_2CDE[valid], ratio=3)\n",
"g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n",
"_ = g.ax_marg_x.hist(ds1.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n",
"_ = g.ax_marg_y.hist(ALEX_2CDE[valid], bins=40, orientation=\"horizontal\")\n",
"g.ax_joint.set_xlabel('E')\n",
"g.ax_joint.set_ylabel('ALEX-2CDE');"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of bursts (removing NaNs/Infs): 2655\n"
]
},
{
"data": {
"image/png": 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G8OmkX9tC035zSGRKxAIehh9cTfuRi0h3RDC8OqbiEu5yCCzyk3LLRMIetiop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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x124649908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"valid = np.isfinite(ALEX_2CDE)\n",
"print('Number of bursts (removing NaNs/Infs):', valid.sum())\n",
"g = sns.JointGrid(x=ds1.S[0][valid], y=ALEX_2CDE[valid], ratio=3)\n",
"g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n",
"_ = g.ax_marg_x.hist(ds1.S[0][valid], bins=np.arange(0, 1.2, 0.0333))\n",
"_ = g.ax_marg_y.hist(ALEX_2CDE[valid], bins=40, orientation=\"horizontal\")\n",
"g.ax_joint.set_xlabel('S')\n",
"g.ax_joint.set_ylabel('ALEX-2CDE');"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"masks = [valid * (ALEX_2CDE > 88) * (ds1.S[0] > 0.9)]\n",
"ds2 = ds1.select_bursts_mask_apply(masks)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x1245ba630>"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Hu5cX+9evdXQUIYSwO6uK2siRI5k/fz7vvPMOubm5ACxcuNCuwWoTg8HAzp0/0L17T0dH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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1245a8c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"alex_jointplot(ds2, vmax_fret=False)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
@tritemio
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