{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Remove cell cycle from perturbed mESC\n", "\n", "Here we use the mESC dataset with 600 cell cycle genes and 1000 other gene expressions doubled for 40% cells. For simplicity we have converted the dataset into TPM." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Import necessary packages" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 1" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import sys\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import pickle as pkl\n", "import sklearn as skl\n", "import sklearn.preprocessing\n", "\n", "import matplotlib as mpl\n", "\n", "import matplotlib.pyplot as plt\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Warning information from TensorFlow may occur. It doesn't matter." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/shaoheng/.conda/envs/tensorflow-gpu/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", " from ._conv import register_converters as _register_converters\n" ] } ], "source": [ "import tensorflow as tf\n", "tf.set_random_seed(0)\n", "import cyclum\n", "from cyclum import writer" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "input_file_mask = 'data/mESC/perturbed-mesc-tpm-linear'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read data\n", "Here we have label, so we load both. However, the label is not used until evaluation." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def preprocess(input_file_mask):\n", " \"\"\"\n", " Read in data and perform log transform (log2(x+1)), centering (mean = 1) and scaling (sd = 1).\n", " \"\"\"\n", " tpm = writer.read_df_from_binary(input_file_mask)\n", " sttpm = pd.DataFrame(data=skl.preprocessing.scale(np.log2(tpm.values + 1)), index=tpm.index, columns=tpm.columns)\n", " \n", " label = pd.read_csv(input_file_mask + '-label.csv', sep=\"\\t\", index_col=0)\n", " return sttpm, label\n", "\n", "sttpm, label = preprocess(input_file_mask)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is no convention whether cells should be columns or rows. Here we require cells to be rows." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Gnai3PbsnCdc45H19Scml2ApohNarfCav2Klf6Scmh1...RP23-345J21.2AC121960.1AC136147.1AC122013.1AC132389.1Gm11392AC160109.2AC154675.1AC156980.1RP23-429I18.1
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G1_cell2_count-0.368984-0.0599760.615395-0.168451-0.8425230.00.337309-0.0599761.4371040.184563...-0.1491210.0-0.080859-0.381839-0.846925-0.059976-0.0811470.0-0.147211-1.326395
G1_cell3_count-1.588597-0.059976-1.439700-0.168451-0.8425230.0-0.707230-0.059976-1.337381-0.672972...2.5487330.0-0.080859-0.381839-0.616570-0.059976-0.0811470.0-0.147211-1.326395
G1_cell4_count-2.043812-0.0599760.766249-0.168451-0.8425230.00.873861-0.0599761.408474-0.672972...-0.1491210.0-0.080859-0.3818392.898387-0.059976-0.0811470.0-0.147211-1.326395
G1_cell5_count-1.668098-0.0599760.182776-0.168451-0.8425230.0-0.707230-0.059976-0.869770-0.672972...-0.1491210.0-0.080859-0.381839-0.846925-0.059976-0.0811470.0-0.147211-0.154229
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stagesubcluster
G1_cell1_countg0/g1perturbed
G1_cell2_countg0/g1intact
G1_cell3_countg0/g1intact
G1_cell4_countg0/g1intact
G1_cell5_countg0/g1perturbed
\n", "
" ], "text/plain": [ " stage subcluster\n", "G1_cell1_count g0/g1 perturbed\n", "G1_cell2_count g0/g1 intact\n", "G1_cell3_count g0/g1 intact\n", "G1_cell4_count g0/g1 intact\n", "G1_cell5_count g0/g1 perturbed" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "label.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up the model and fit the model\n", "\n", "Fitting the model may take some time. Using a GTX 960M GPU it takes 6 minutes." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "model = cyclum.PreloadCyclum(sttpm.values, q_circular=3, q_linear=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pretrain burnin\n", "step 2000: loss [0.17363924, 38648384.0, 143098.72] time 9.98\n", "pretrain train\n", "step 2000: loss [0.17294206, 38648396.0, 143098.72] time 7.21\n", "step 4000: loss [0.17294218, 38648390.0, 143098.72] time 6.14\n", "midtrain burnin\n", "step 2000: loss [0.17294218, 13706.275, 66501.27] time 30.63\n", "midtrain train\n", "step 2000: loss [0.17294218, 13703.313, 66501.27] time 30.84\n", "step 4000: loss [0.17294218, 13703.31, 66501.27] time 28.50\n", "finaltrain train\n", "step 2000: loss [0.25978315, 13456.805, 36317.523] time 41.18\n", "step 4000: loss [0.3560579, 13454.46, 19613.684] time 37.69\n", "step 6000: loss [0.40473315, 13453.682, 10077.552] time 37.72\n", "finaltrain refine\n", "step 2000: loss [0.41543347, 13453.116, 8114.8086] time 41.51\n", "step 4000: loss [0.43487915, 13452.949, 6591.534] time 37.74\n", "step 6000: loss [0.44793454, 13452.951, 5367.22] time 37.72\n", "step 8000: loss [0.45629007, 13452.896, 4374.1514] time 37.78\n", "step 10000: loss [0.45684564, 13452.864, 3562.853] time 37.73\n", "Full time 422.85\n" ] } ], "source": [ "pseudotime, rotation = model.fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Illustrations\n", "We illustrate the results on a circle, to show its circular nature. \n", "There is virtually no start and end of the circle.\n", "Red, green and blue represents G0/G1, S and G2/M phase respectively.\n", "The inner lines represents single cells. The cells spread across the\n", "The areas outside" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "%aimport cyclum.illustration" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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NRuPq4r7X1zzXtagIIXRGo/Gfxx57rN348eOd6no+NYlNsbH62Gr+OvNXXU/lmuJoysU5gRcihOC5555zHzVq1Aij0fjT9WCxXLeiIoRw1ev1W958883mjzzyiNixYwdFRddmv2+LzcK3h79l77m9dT2Va47E3EQyCzMrfDw7O5vdu3ezePFi9ZQpU/rr9foV17qP5Zp+cRVRvMvz5yuvvNJ28uTJTgaDgVatWnEtCovJamL5geUcSz1W11O5Zjmbfbbc8yWC0qVLFzw9PXnttdfcJ0yYcKPBYPjiWt4Vui7WeGURQmj1ev26F154odPUqVNLfSgGgwGAHTt20LNnT5ydr869YrXC2bOQlQW5ufJQFHBxAWdn+b+vL/j7g5tbzbymiigwF7DswLJKN+9yUDmS85IvOXexoMB5H0thYeGtq1evXkIDjpq9HNedqBgMhk8feeSRbk8++eQl1aivVlgUBY4fh8OHISoKrta4cXMDgwGCgiA4GEJCoKYqJ+QU5fC/A/8r9wPvwL5c/B6XJyglCCH4+OOPPdPS0ib4+voeS09Pf6c251obXFdh+r6+vo/fcMMNC3766Sfvy1mfycnJHD16tFxhycqC1ashOto+c/LwkOISGiqPwEDQVFPq0/LTWHZg2QVtMhSbwGLSYC7SYC7SYjFpsJg0WM0arBYVNoua03sjAIjodBqVxopaY0XrbEHrYsLJ1YSzmwm1Vu4aXc9h+hfj6+rLkz2eBC4vKGUpLCyke/fu6ceOHbv9Wgvpv25ERaPR3NCyZcufIiMjfV1drxyKUp6wREXBDz9AYQ3WeFapQK+X4mI0gre3PLy8wMnpvOAoCpjNUFAAeXnyyMmB00mprDm4hZxcBVOBFnORtlREUCoWUgUFgaAgxwVXj0KynA9iVmfhn9+Xc+6/E5R/I87OCq5uNgo9jnLYZTHtXe4kT5ylvU9f0BSSYDmMl05Liuksfm6+qIWaIM+gmnuz6glalZbn+z1/1YJSQkJCAt27d0+Oj4/vWcUkxHrJdbH8EUKEBwUFrVq7du1VCQpcuhTKyXHm+++vfqlTVWw2SEqSR3kIIYXHWk6YSUpeCkdTj2JTKldAKs7zW/LdDzBa9yrHtocyaUoGGzNP4KFz5ple7fj88J+8OnRA6fX/nnXntmVFPDSyF7sSdvHSgKkAvLhxAf6aYLbEZhP3bySFYSF0VI8nNTuXI0nH2F+wnjaevVE0+YR6B+DqbsHJ1YRQNew/bGabmfTMdPbv3X/VggIQFBTEjz/+aBg1atQGIUSnylQgrM9c86JSHC274fvvvzeEhIRU6rklwrJ9+w6OHu1JUVHdx8YpyqWCoigKMZkxl61sb8NMgTYBnTkcNzdoGuFEq8butGniw4bUAPYmx/LMiGC+MgVz/83BxG32wehuROdpRqu5cJNQKf53cT9jobKSI87Rp0lHNqszaeEVxqMjBwPwf7vOcXxnJiq3RH6N/Y4xCZ9xJOUEeepsGol+uHuZ8fDLwVOfjXdAFip1/S1beTEuVhf27NlD967dr1pQSujWrRuLFi0KnTFjxs9CiMFXU+ipvnNNi4oQQmUwGH5auHBheM+eVetkZzAYOHoUvLx2kJbWE4ul7oWlLIWWQo6mHCWr6NL+4pmFmXi7eKNWQ7NGLsT7b+ON4SNp3cgfler8Uij9WHsOpOzmSMoRAgObcK44HcioM5KUm4SLxoVCSyEumgt92+U1SY/OiOaWFrfwS9QvGHSG0vNHU4/iq/NG523FI9WVZTPH8dTvT7H1xHasBfFsz4oiaPcUNCpf3LRt8Q3KwNjkHP6hafXaknGxuhCeH05Et4hKC0oJkyZNctqzZ0+XZcuWvUkDqZh/Oa7pOBV/f/+F48aN63HfffdVK1r24EEDiYmtaNx4BxpN/YhjsSk2YrNi2Rm/8wJBKXGRqdWQkujE/RM9+f7dnnw65wY6tzDQJuJCQQFob2yP2WrmaOpRGjeGU6fkeaO7kaS8JLxdvMkqLDuGtFS0qktLLGYUZqBRa1AJFU19m5aej0qNItQrlITsBIw6IxabhUMphxjb6VZCW7iiD7Wy8Kk2tGr3L42tCRzYUsDBn4zs+F8H4g4GY7PWv49qiaCccTuDxqV6f5/ffPNNjzZt2tzr6el5l52mV2fUv5+UnfDw8LijZcuWU999912P6twnNhZSUyEnp34Ii6IoJOYksjN+J9EZ0RdUt89Jc0fk+3PvOAPfv9uTmfe25HRSKt7u0sJoo29Tbq5KI+9GICAxJ5HGjeXOlpvWDU9nT5LzkvFy8So3avRiS0VRFHKKciiyFIECTXybALJEZUxWDD4uPpzJOkP/Rv3Zk7iHlLwUWutbczb7LC39W3Kw6ACvPzKXV1+fhF+YDpcuK9jr+xwnf9Dy7wehJO0Q0jtdDygrKIXqwmr3QFKr1axevdrHYDC8V40q/fWCa1JUhBDhvr6+H/7yyy8+anX1Ui1Onjz/dV0Ki9lqJjYrlh1nd3A87fgFbUY1GujdzZVP3gqhR+O2TLmpNd7uLjw8PoL168//iIc0HlJuur5KqNC76UnJTyE8HM6cgRDPECxWC0m50lIpKyoV+VRAlgRIyUvBrJhLLZWotCisihVXrSup+anc0+EeNsdsxlnjzL6kfaQXpNMrtBcpeSkYdAZe/fgUN96RRcvOoQQ1dWLezJa08BccWxfG3g/dyf83Vu7t1xEXCwpgl8Zqnp6erF271q84+bDKfYXqmmtOVIQQwmAwrPrqq6/87NHPOCXlwu9rW1jyTHkcTz3O9rPbic6Ipsh6fkwXF7h5qBfL3ujKq4/1oEuLAIKDZYQvgKurQG1zJbtQ1mLW6/QVpurrdXpS8lLQaBQsFikqmYWZZBdly+VPOT4bjUqDKO5vpSgKJbE/Z7LOoEaNr6svIEtVumvdSctPQ0GhY2BHTqafJNgzmHM55yi0FNI1sKu0mICdR+IxuZ1i3al1LB6xmAE39eS9T+/h/Xd6kNN6L9t26Dj3fS7K3n0yhLkWKU9QALtlfTdt2pSXXnrJYDQaP7TLDeuAa05UvL29n7j11lub9+/f3y65FReLCtSOsOSacjmcfJjIhEgScxNLlzm5GToKszwZO9KHbxf14umJnQjwPV+h7q67YMWK8/cZMzSQd1adL33orHYut5l6uFc4NsVGQk4CAMGewaXh/V7Oly5/SiyVkor7WUVZeDh5IBCkF6Tj7Xpe0Ped24fOSUdCTgJezl6YrCYOJB1geJPhnMo4RYhXCDsTdjKm1Rh27s1HH5FCoaWQfHM+gyIGld5nS9EmHps0nsktTxMdmMimvXoKtx6T5qSt5jdNKhIUwK5N1h566CHnJk2a3GzHFqu1yjUlKkKIRl5eXnMWL15cNTf8RSgKpKeX/1hNCYvFZiEqLYpdCbtIyU8pnUdhrgsaDdx2q4pOQe15fFwHPHWX7kT5+8s5l/yOPXRHBOvXn9fXG8Jv4O8zf1/yvHbGdggER1OPoigQ7BFcmih3yfJHUUDhgl44KXkpOKudcXdyJ7MwEx8Xn9LHjqYexehu5EzWGdob27M9bjt55jwZ31GQTq+Q80uf1z89QdfBsew5t4exrceW3sNkNRGbFcs/UX9gcRXcMLIHzz8xDq15LEm7nWHXrhq1Wi4nKPZGCMHKlSt9/f39lzXEZdA1Iyoly57//e9/fjqdfX4OVuvl/wDaW1gyCzOJjI8stRYAFGwIAUXJYXz4Qkeeu7cLo0Zq2FB+JUMAhg6l9PGLl0C9Q3vzT9w/lzynnaEdJpuJIylH0OnAZnIttWgu3v2R87rQp1KS/+Lh5EF6QXrp0kdRFE5lnMLXxZfk3GTu6XAPW2O34qH1ICYzhjxzHj2Ce9DIuxEWCyRkpJFjO8fx1OO8NuS10vsvO7CMDsYOtNmfSEyHMPLMeQzvNowFi+5l1G13sD9Nx8GdGyDZ/rlOtSkoJYSFhTFv3jy9wWD4qFYGtCPXjKh4e3s/OWbMmGY33HCD3VLKy4tavRh7CcvZ7LPsP7f/Ap9JussukgK/YM7jEXz9aRBrV8slxciR8Pvv57ePL2bgQNi48fz3tw07vwRyUjthtl26g+Ln5odOqyM6I5rGjeF0maBxN60buabzVkDJkkddpt5QSn4KmYWZBLoHklWYRUv/loCsN2KymPBw9qDIWsTwpsM5lHyI1obWRKVF4ensyZGUI4xpNYaVq1No1v0M5/LOEeQRVBoXY7VZOZpylN2n/iJTZcbZ3ZuHujxUOvZG23oK2uawRnMM6/50iIm5inf86rhaQRE10Dv9wQcfdG7WrNkotVo9wO43r0GuCVERQkR4eXm9YK9lTwlXIypQPWFRFIVT6ac4mX6y9Jc1I9ELc5GWkFYJ3HNje1R+0bRoAdnZkJgoQ/Vvuw2+/778e5bkD5WE+j90RwTr153/UQe4B5CYc2nDMIPOQGp+ammsyuWSLkt2gJzUMgQoOS+Z5LxkDDoDQojSnZ8Sf0pMRgwuWhfMNhkP0zGgIwk5CfQM6UlqfioGnYEvfjpFSNtTbI3dykc3nf8D/d2R72ijb0OLA/EkdIhAo9IQ4SOTH9eeXEtrfWs2nN7AF7d+wZ33vsDJpBSUI8crVt2rpC4slLKULIP0ev0yIUSDae3Q4EWlOGp21bJly/zcartgSRmqKiwn008Slx1X+v3Zo0GknArGp6AjPz32OvF5sfx47EcKLYVMmwbvviuvu+EG2L4dLBXsZE6cCMuXy69dXARqxaV0CTS08dByt5aN7jKCtiRWBcDH1eeCbGcoDn5TFMxWM25a+Z6n5KWQkp+CzlmHzWYrjVHZGb8TJ5UTZ7LO0MirEVtitgAyJibPlEevkF408m5EZqaCWZNBtjkTq81Kt+BupWNFxkdy6PQOUtVmhIsrj3V/DIAiSxHrTq5j5vqZNPVpyp3t7uTTk5/z0fSV9I4YxZE9m1EqeoOuQGUFpaZqLoWGhjJ//ny90Wj8uEYGqAEavKj4+PhMGzt2bNO+ffva/ada2T7slRWW6IzoCwooxR8L4sZbM/Fz88dapOPrFVru73Q/Bp2Bd3a8g6cntGoF//4rr580CZYtK//egYFw7tz5P9Zjhwey+NsdADT3a05UWtQlz2mjb0OBpQDFJZ3MTJl96+fqR1Ju+dmNZtt5UTFZTeSYcjBZTNiwEeQhs5P3nduHXqcnMSeR21vfzt+xf+Pr6kt0RjRatZa47DjGtBrD659E027gMXbG72RKhymlY6yJWkNzv+Y02R9Lavsm6HX60vD/DyM/RAhBjimHrfdt5etDX3NT85vwcPLgW9NGDI1bcfzwdrJyyt9Gr4iqWCg1sfwpYerUqU7NmjUbqVarB1356rqnQYuKEMJXp9P956233rLrsqcEjUYuNSrD1QpLQk4CsVmx8jmpHqhUgiceF3jmduezT1WkpsJXX4GfuSNqoabQXMjh5MNMniyFxGaDTp3g6NGKSzEMGACbN8uvHxwXwR8b5IsRQiAQl2yDtje2lztAKXIHKMgjCLVKXWGhJ7PVjE573imea8olOS8ZbxdvVMVlWKMzotHr9OSac5nUfhL7zu2jc0BnTqWfolNAJ9Ly0zDoDGzZE4+r4SxxWXHMHTAXkFbKpphNRMXsJsnZgs1JyyNdHwEgNiuWPFMe7/37Hs/0fgaLzcKRlCMMaTyEJbuWkGPKoXFAc3aLWH4/9isxSScu+3MroapLnpqsDimEYMWKFT56vf7zhlA4u0GLisFgeHXBggXeNbXsEaJqBZOuJCwZBRmcSJMf8vR4H86dCKaxS2eenNSM3r2lk3TgQJm/M3MmTOvxFGmFaXy862MQtgsslAcegM8/L38ew4fDunXy64uXQB0COrD/3IWdCVv6t8SiWEpD+UM8Q7DYLCTlXWiplPhTTFZTqaUCMlaj7M5PTlEOOaYcnNROqFXydyE2KxYfVx+yTdn0DetLhE8Eh48VojMmcSrzFE19m5buKm2O2UyYVxjh+2PIateM5n7N8XCWWRfv/fseX+3/Ci9nL14e9DKvb3ud2X1ncyDpAOtPree2Vrfx1f6vsCgWzE4qpjYdj5Pp8rEk1fGh1HRdotDQUCZMmODn7u5+X40OZAcarKgIIUI8PDzGTp7F8IqMAAAgAElEQVQ8uZKLlMrhVMVUxIqEpdBSyJGUI1it8kPYtIWJkQP8SEv0YMUKuOkmGct1//2y6FJGBnz2sQsT2kzA382fpXuX0qOHtFCys6FZM0hIkNdejFotCzylpcnvbx8RyOJv5NppcMRg/jz95wXXO2uc8XPx43DKYVQqCHIPodBSWO7ypzxRAZlQ6O0id6kOJB3ATevG0ZSj+Lv6sylmEy4aF85mn0VRFNIK0hjTcgwLPj5Os3572ZO4h89Gf1Z6rzVRa4iLO0yKm4JJBQ90fgCAdSfX4a51Jzojmr/v/ZvlB5czpuUY1ELN/C3z6R/en48iPyIlNwWbYuOrMV/Rp8to1GoNFJbfL7q6Tll7Br9VxIsvvuih0+nmCSEuKYVan2iwohIQEPDO4sWLfaub23MlqioqcKmwKIrCkZQjmG1mDm1sS/Q/HVixuBOT7tLSrBl8+y3s3QuzZ8P778vI2MREWW1OX9gHBYVjKcdIzEnkySfPO20feQQ+rsCNVzbC9sFxEaXxKz6uPuUmCRrc5Q5Qhw7goYQS4R1Be2N7RrcYXXpNG30b7gy7k5b+LekY0BGAgY0GMihiEP5u/vQI7gHAjrM70AgNcdlxDIoYxF9n/iLIPYj95/bTUt+SrMIs/Fz1xJxLw6xJQSVUtPBvAcC/Z//FX+dP0P5oMts0oU9YH5zUThRZilh7ci2vbXuNkc1G4uXixcn0k/Rv1J+5m+bi4+JDZHwkJ9JO4KRxYlqPafQJ68PqY6sJ0TdhZp+ZxKefwVYmAMkeuzwlO3c1iY+PD48//riXj4/PjBofrBo0SFERQrQyGo0Dbr755hqff2WdtRdTVlgS8k6QVZhNsm4joyekoBR48+jDGvr3h9atoUkTmD9f5srNng2ffSaXPyYTPP00TO8+kyJbEYu3LyYwEDw9ZYnLkBBZVrLEIilLWBjExUmHrbOzQIMLWQVyCeSmdSPPlHfB9YuGLeLLW75kzBgIC3BnaJOh9G/Uny5BXUqv8XPzY1zIOIzuRozuRgAGRAzgpQEv8fGoj7m3070AjGw2kll9ZtHIuxGPd3+cPYl7aKlvSUZhBn1C+xDhE8EPa1MwtI5ie/x2nuj+ROkYq46sIiX+BMnuYFEJJrSdAMBHkR9xMPkgQghW3bGKN7a9wTN9nmH1sdUcTztOmFcYW2O34qp1pVtwN2b0msGuhF0cTzvOxPYTefnfN9idvI9DxUs/e20bm621kz09Y8YMN1dX12lCiBoqmV59GqSoBAQELPnwww/9aqN1SnVFBaSwnDwTRuuIaFJOBNLMvROdxq3nnXcEv/4KCxbAPffIOrT+/jB9uty96dULXF1lrdrcXHjvLXdubn4zGrWGNVFreOQRWLJEjvHoo/BRBbGXvXrJ7WeA228M4J1vIwF4uOvDF4Tag7RgNGr71O5qpW/FpPaT2HzPZtoY2rBszDJub3U7bQ1tMVvNjGk5ho+/OUVox6OkFaTxVK+nADiYdBA3JzcMB6PJbtmY0S1GoxIqYrNiScpNYtPpTXx727esPLSScW3GkVWUxSd7PuGmZjex/MByVEKFl7MXK8euJDYrlm8OfcOs3rN465+3WH9qPV4u3kzr9RT74vbYLQ6lbNBiTeLm5sacOXO89Xr9vFoZsAo0OFERQvRs2bJl2z59+tTKePbIU7ParGw/lczOKCdCPZ1pYr4Z69nOpDf6lJdegrfflkuU55+XvYJMJpg7V/pXoqKk6KSmwvr14J81DBT4/cTvmMhlyBD49VcpRs7OEF9Oi59Ro2DtWvn1I+Mb85+7+gGyCnxJ8Fpt0NSvKb3DevP9+O+Z3Xc2ep2etp0KOZl9jHaGdqU7RssPLic7MYYUDzVqJ2dGNB0BSOfsx7s/prlvczoEdSA2K5beob2ZtX4WnQM78/mez8kqykIRChsmbyDPnMfrW1/n5UEv89/9/2XlwZW4al2ZN3AeL2ycQz/dAJyCNXYJbCuy1F4pjAceeMBJp9NNFEIE1tqglaBBiYoQQhiNxo/ff//9ylV2rgZXG1V7OY7Gx3LigC+dO3vw8RI3oqOTiPmrFxkx4Xj2Wc7jj0tLY8cOeOUVuaw5cEDu8MyeLf0lH3wgrZXZs+HJLs+gEioW/bOIm26CP/6QQlSRb0WrhRdflF9rNAInbd3vSpbs8LwzfQDzB85n2Ri5nXUy/SQCge/haLKahzGp/SSEEKw/tZ6k3CRyTbnsmLqDRf8sYlbvWSz6ZxFWxcrBxIOczjyNSqVixW0r8HLx4oWNLzB/4Hz+iP6D9/99H7VKzcsDX+a5Dc9xq8+tPDDkAUa1H012YfVrs+SZ8658kZ3QaDS8+eabPkaj8a1aG7QSNChR0Wg0N/bt2zesbdu2tTZmFQMyS8kuzGXnTkF6TAgn/+lGo0YG3n5bS2xsEmc2DuJ0lI6OE37kjjukRZGRAc89JxuOLVsGhw7BM89I4Rg8WArLmwt8GBQxiIzCDHYl7CpdBnl4yKXSiXJCMmrYn10tegT3wOAuA9pS81PxyjaR4qnBw9WbniE9KbIU8cuxX1h5aCXz+s9j1ZFV3NnuTg6nHOaP038Q7hXOjoQdOGmcmN5jOr1De/PS5pd4ovsTRKVF8eKmF1FQeGXgK8z5cw6jfUYzdchUnNycmP3HbB7q+jBaleYC521luVw/5Zpg7Nixaj8/v2FCiKZXvrp2aTCiIoQQfn5+7yxatMjnylfbB5tNbttWFUVROJEehcFHTffOLmzZIndjwsKksMTHJxH/5yj2HylgzMz19OsHXbvKpczEiRAeLpdEbm7Qo4c8FAW2bQOfJLmF+tmez2jc1FKaF/TAA7Vet8iu9AzpybO3vMHNtz7Dw11lV9CPIj9izYk1eDp7MrHDRM7lnqOtoS1zN81lQPgAvj70NSqhokdwD2b1mcWHkR8youkIzFYzT/7+JCariQUDFzBv8zxG+Yzi4aEPI5wFM9fPZGbvmWw8vZHfT669oFB3ZckoyLjyRXZECMF7773nFxgYWO86HDYYUQH69urVyy88PLzWBszIqJ6lsutQOhoK2brOwJAhAoNBtkq9+WYICTHw9ttOJCQkkbDuDrbsO8O0t7bRurXcCerdWzpY9Xp4/HEYMUK2Wl28WO4OzZ0Lj7R/BoFgSeQSpk2T+TouLjLStkGjVjO0+Y208G9BgbmAk+knic2KZdfUXSz6ZxFP936aWetnEeEdwYqDKyi0FOLn6sd3477jx6M/4ufqRyPvRtz/8/0UmAt4ccCLLPxrITd63cijQx/ForXw7B/P8mL/F1kSuYTfTvzG0tFLOZxyGC/nqm2qpBek26WkZGUYNGiQ8PLy6l7ffCsNRlSCgoLmv/DCC761OWZFDb2uhrh4My76QzTz7MTWbc7MnCl9Hi4usprc0KEQEKDnnXecSE5OImXdvfyyO5IFn+7Fzw/at4cpU6BxYxmG/9xz8Oyz0qH71FOQmQmvzTHSN6wvXs5eeHpCLfmuaxVXrSvdg7rzcNeH2RC9gbs73M0PR38gLjuOqNQo4nPi0aq1bJyykd2JuzmZfpLhTYdz1w93kVmYyey+s3n7n7cZ5jWMJ4Y/QZ7IY87GObwy6BVmbZhFUm4S/+n7H5buW8q7N77LpPaTcFZXvg2LVbFyLvdcDbwDFSOE4Nlnn/XR6/Uza3XgK9AgREUIEe7v79+mS5cuV77Yjhw6VPXnZhVGoU3vwPQZrsTEyJiTO++EN9+U1o/ZDP37g5+fnrffdiIlJYms9Y/z7Z61vL/ieOnjL7wgt5f37YOVK6V/5exZaNRIWiY3hU3k7o532+sl10umdJrChzd9SN+wvhh0Bj7f8zmhHqHsTtyNVqVl5diV5JvzWXVkFY92e5Tx340nOTeZaT2m8X+R/8cQzyFMHz6dNGsaC7cu5NXBrzLxh4mEeYUxrOkwIhMiWTh4IU5qJzydPWXtmCrEspVUyqtNJkyYoNFoNBPrU5RtgxAVo9H47PPPP19rOz4gexMfr2L/8ayMc9x1UzpLv/TmnXfkcqZRI7kD06ePLEmQlwc6HfTtC56e0mJJTU0id91Mlu9fyaffxnLyJEyeDK+9BgEB8OWXcmu5Rw9prXz5pQzDv15oY2iD1WZlWJNh/HTsJ9RqNdN7Tqe9sT1vbHuDuf3mMvGHicRkxvBglwdZfmA5gzwGMWPEDM4WneWDnR/wYv8XGbliJLe0uAUvZy/UQs20ntMQQhCbFcuMdTNo7tecqiQdn0o/Zf8XfQWcnZ2599573XU63aRaH7wC6n2DdiGEa3BwcExMTIxBU5XsviqyYYN0iFYWpbAQL6fNzJgvYysURQalubhIAfnwQxl3kp8vfSt+frJQ2Z9/gsmUwrRpZnx8/XG+8SVuC5zO5LEGHnpI5gLNmSNFZc0a+wTlVYfNmzczYMCAOhm7wFzA2G/GolFp+H789zy17ile6v8S09dNZ3vcdia1n8TG6I300/Vj9sjZROVG8cPRH3io80OM+XYMLw14ia2xW7m99e10D+4OwB/Rf/BH9B/onHQ09WnK+Lbj+Wr/V8Rkxlz1vDQqDbP7zL4koLCmSUpKomPHjicTExOb1erAFVDvLRUXF5fxd999t642BSUh4XwEaqUwmxHndvDoswNKTwkBjz0GERHw3/9Kv8jzz8uw+k2bpLg0agT9+oHVquedd7Skp6VS8OuLfH/uLT74NJMPP4QtW+Chh6TVUteCUte4al35bdJvrL5zNa/8/QrTe05n/l/z2Ra7jVta3sKm6E30cevD7JGz2Zu+l99P/M4dre/glm9u4e3hb7Pu5Doe6/YY3YO7Y1NsvL39bQ4nHybPlMe41uO4s92dqISKsa3G4qS6+uBAi83CqYzat1aMRiMdOnTwFkLUrn+gAuq9qPj4+Mx8+OGHa62ieGEh/PhjFSJpbTZsR/cz/rEgXNwuXd4OGgQPPiiD22bOhE8/lX6SjRtleYWmTWHIEMjK0vPuu1oyM9IoWDOfP8wLeOX1PF58UVZ7a/A7O3ZECMHsPrP5/sj3/Hz8ZwY3Hszu+N30dOvJczc9x9akrexO3E2XoC7c9/N9vDfiPb4/+j0Lhywk3DuczMJMZqybgavWlcTcRF4b8lppbV2z1czHuz7GzalyZTXK6wBZGzz99NP+gYGBz9TJ4BdRr0VFCNEyIiLCEBYWVivjWSzSGVper5/Loigc3pCAa5ATrbo1r/CyRo2ko/bDD2Wg24ED8PXXcjkTGCgfHz0a4uKKhSU9ndyfF5Df7H+cPFn5glHXA65aV3qG9GRYk2GcTD1JV+euvHDTC6yNW0tcVhyeTp688vcrvDzwZTZEb2Dx8MV4OntyMOkgL2x8AR8XH9y0brw25DV0TvJv15GUI0xfO52bW9zM9J7TaWu4+mDL46nHa31rGWDw4MFoNJqB9aGWbb0WFaPROGPmzJm14qC1WGTpgTNnqvDkM2foHRZFQOfWzJ1bfm2TEtzc4I03pJXi6go+PtJ6+eIL6NlTZhxPnAj790th8dKdY3Lre6tVguFap3+j/jzY7kG6uXTjxZtfZNWpVZitZhJyEvjx2I880OkBzmSdYf7A+WhUGlYeXMl3R75DILit1W3c3UHuntkUGx/s/IDfT/zOuze+W2q13Nj0xkvqxlREkbWoThy2KpWK+++/X+fm5lbnDd7rragIIdRCiNGjRo2q8TkWFMjSjVGXlm29IoXxqUT+U8TN0xpz730aHn0UXnrpfMW18ijxszRqBP/8IwPbZsyQjti77gKDQQa87dypZ8ECd44f30FRUd01ha/vZGdnk3M6hzmj5vD9qe/xdfHlz9N/EpMZQ+/Q3uh1eh7p9ghmm5m5m+YSmxVLgbmAVwe/SjtjO0CWvXzy9yfpG9aXp3s/fUFPI52TjqGNh171fOpqCTR16lQ3Ly+vaXUyeBnqragAPfr376/R1rBXMiNDWgmxsVV4clERTqeOYfPwZOJTjdi3T279LlokQ+WffbbiDodw3s/yxRdw770yWXDMGBmb0rYttGsHBoOBVq1asWOHQ1jKIzs7m927d9OlSxc8PT2Z2H4iXx/+Gr2bHj83P25qfhOjmo8iPjue6b9PR1EU/N38eWPoG3g4e6AoCp/v+ZyVB1eyaNii0qJTZbHarOyM34nmKsvDHk87XiuV4C4mKCgIX19fvRBCX+uDl6HeiorRaJx411131ejSJzZWBqVVuand8eO4aM18+5s7P/wgCyndfruMQRk7VgaqvfGGrNxWESV+lmXLYNw4eO89CA2Vlk47+UfUISwVcLGggGyW9tHIj7DYLMzsPZOOAR3ZHLOZN7a9gRByuXN/5/sRQkihWTudVvpWPN/veZw1l0bSbo7ZzNPrn6ZnSE9ubn4zVtuV09YLLYWcyazKOrr6TJgwwd3JyWlUnQxeTL2NUwkMDDxz6tSpsJoqar13r3SQVrm0QXIyHDnCoHHe9Hvs/F+3X36ReTmTJ8slDUiBWL8eZs2Slkx5KIp04Lq7y2zk0NDyhkzm6NGj9OzZE2fnyoeS25O6jFOB8gWlLCWf6w92fkBiTiIFlgJeGvASXi5eKIrC14e+5ljqMZ7p80ypg7YsZzLP8MHOD+gR0oMRTUawZNcSTFYTTXwacyztylGRvUJ6Mbzp8Oq/0Epy5MgRhg8f/ldcXFydNXevl5aKEKJp06ZNXWtCUGw2+Uu+enU1BMVmwznqIB4eNnre0/qCh26+GXbvlqH03bpBZKSsav/SS7I8wVdfld84TwjpRxk5snxBAYfFUsKVBAXkdvOvUb8Smx1LmHcYi4cvxsvFi5S8FGaun4lBZ2DewHmXCEq+OZ/Xt77Ot4e/ZW7/uWQVZvHy3y8zvu14Hu/+ONEZ0aiuItz2ZPpJu7zWytKqVSuAVkKIOvurU3sRZZXAy8vr9kmTJtm9xIHJBKtWVc0hewFJSXhmxTFWswmndZlw662y12gxKpXMJk5KkhaLTifFZN482LpVloucMUOWNrgYwxWy7w3FF+zYsaNeWCy1zdUISgnDmw4n1CuUDgEdAFh9bDXbz25nbv+5eLlcmI2sKArfHv6WPYl7eKzbYxxIPsCcTXOY0mEK49uO5/92/R/ZRdk83PVh9iXs5t/EXZcdOyU/heyibDyda6QlVYUIIRg5cqT2k08+GQBcZrug5qiXlopOp7tr9OjRdhW87GxYutQOggJw9ixFQY3Q/7xUFj95+mlp+lxkghiNctnz8MMyYnbhQhmq//rrMv/n44+rVq7yerVYKiMoAFq1lg4BHcgqzOLZP55FCMFrQ167RFD2Ju5l+trpBHkEMa7NOBbvWIxWpWXh4IVsi9vGwr8Xcnvr25k3cB4uGhf2Jx28KmslOiO6yq+1OkyYMME7KChoypWvrBnqnagIIXw8PT0DAgPtVyIiJUU6ZM/ZIzM9OxslN4+eo31RO6mlWrz9tqwBOWOGdNRcJC7Dh8OePVLYunaVXz/3HHTvDtOmVS1x8XoTlsoKSlkOJR9iZu+ZF7QZAdn/+YWNL7AncQ9P9niSX6J+4VDyIRYOXsiZrDPM2zKP4U2G88rgV3DWOLNgywLe3/k+d3eaQmf/dlcc93TG6UrN01707dsXq9U6UNRGZfhyqHeiotVqR95xxx12C8s/e1ZaKNWp4FaW/NhUPt7ThS//aXPhdvHAgXLN4+IiU4jXrr1AXISQlsratfDyy9L30rixfEpCQtXmcr0IS3UEBaBPWB/83fxLvzdbzXy480OW7FrCA50eICEngdXHV/NCvxcQCOZumkuf0D68NuQ1tGotczbO4b/7/suj3R5lbv+5BHkE0Su4B8J2+U2O05l1IyparZauXbtqgA51MX69ExWDwXDv2LFj7eKhPX1a+jIKCuxxN4lLdjLTJ8RzNlFNt24y3P7o0eIHhZAJPG+/Lb+fMUOmO5cRF39/+O03+dDgwbIh2MCBVZ/PtS4s1RWUi1l3ch3PbHiGvmF98Xbx5ot9X/BglwcJ8ghi3uZ5tDO2481hb6ISKv7zx39YfWw1z/R5htl9Z+Pndj7Cwc8nmBa6CjzqJXMvyia94DKBSjXIxIkT/fz8/CbUxdj1aktZCKEODg5OiIuLM1TXcjtzRsZ+mO3Z46mggMgfY2l7UygPPOpWan1s2SLF4oUXZFuN0qkrilSQP/6QST0XqYeiwLFjIB321aO2t5trY0vZ3oKy8fRGcopyyDPlsffcXh7o/ABHU4+yJWYL49qMo3dob3Yl7OKbQ9/Q3K85kztMxkVzaXLooeRDfHPoGwyKG2mi4AIn/cWMbjGazoGdqz33ypKZmUnr1q1PJCQkVJyMVkPUN0ulRfv27au9FIyLk45QuwoKQEYGtw9N5IX5bmzaBP/3f3ILeMcOKSazZ8tI2LfeKq5tK4R8YPFimRD01FPw11+ltxPCPoIC157FYm9BARgUMYjjaccJ9w5nSOMhLNm1BE9nTxYPX4zZaubpdU9zPPU4C4csZGqXqRcISpGliOUHljNr/Sx2J+zmuRue4/GBs/EruPxnNTarKqHa1cfb2xtXV1fvutharleiIoTo0q9fv2p9gjIyZKaxqfw+3NVi2w413h2MeHjI8Po33pCtNBYtkjVOfvtNBr6tWgXNm8v6J5mZSPUYPVpemJoqxaUqFaCuwLUiLDUhKCXc3eFuvjvyHTbFxuJhi8k35zNj3QwyCzN5c9ibTGw/8YK8n1Ppp5i/ZT4L/lpAa31r3hz2JlM6TsFV64pQqejo0uiyW3hxWXF2nX9l6NSpkwCu7FG2M/VKVIKCgob06NGjyspaVCQFJT/fnrM6T6BnEktWNadXL1loKS9PVrxfuBCmToWffpKBb/PmwXffyZYZHTvKhMFjx5Bm8m23SXGxR5eycmjowlKTggJg0Bl4a+hbZBVlMXPDTFw1riwevphbWt5S2iHRYrPw07GfmLV+FhuiNzC953ReHvQynQIvLWbTof1QxGW2FdMK0sg319AH8gr079/fW6vVdq3tceuVqNhstu6dqlGFaM2aauTxXAmTiYH9k1i/Xs3WrbJEwYgRckd56VJZwmDaNFmZTaWSZRQGDpTWS9OmcpnUpYtsUYpKJZ9YQzRUYalpQQFQCRU7E3YS4R3B4uGLGdx4MCXL7fjseF7f+jpzNs5B76bnjaFv8HDXhy8bwOapDyE8T3vZPxJJudVoy1ANunXrpjEajYNre9x6E1ErhFCHhob6elexknNUFBw8aOdJlcGUlU7LW6T3X62W7TYeeUT24Hn5Zdmnx9cX/vMf2X5j6FDZ13jZMpnP8/nncn6zZslw/TVram6u0PAib2tDUEroHdq79GubYuPP6D/ZEL2BQPdA7ut0H3pd5ZJ820b0ICZuo8wOLYekvCQifCKqM+Uq0b59eywWS617ieuNqADNW1XRa2kyFVsANYTFAtv3FfHgzEvT4r28ZJYxSGF78UUpHC1bymXQ7Nny+WvWSAfyE0/IFVBt0FCEpTYFpXTMomyW7l1KQk4CQxoP4bUhr5UufypLi05D+HX7f1ECA6Gc97i2W6KW4ObmhouLi4cQwklRlBrwMpZPvREVIUSX/v37V+kTtXu3tBhqCpNJoWO3s/y+NpzYWJnLM3SoTBgsu5vYvLn06YAMcps6VQbdDRsma6vceiucOiUr6NcW9V1Y6kJQQNZIub317YR4hlTp+YqiEJUWxdqTa0nJT8HobiDt1CnZj+Uick1114e2U6dOIiYmpi2wp7bGrDeiEhgYOLhHjx6VboikKDITuCY5m5KFkh+Czh3CwmTvnuhoWakNpLgMHSrFpoQRI+Rhscgcn6FD5bLp9dehSZOane/F1FdhqStBAfBx9cHHtXI5qwXmAjbHbGb72e3YFBt6N7lMsik2nI1BELVbbgdetIQvMNsx+rKS9O/f32vNmjXduB5FRVGUHp07V375d/Lk5aur2YOtf9loHBxIUIjMLP73X9mrR6WSuTxeXvDOO3I3KDRURtmWlC/QaGRJg8cfl9vdl6tfW5PUN2GpS0GpDKczTvPbid9IyElAJVSl9VgURUGr1jKsyTCa+DTh7LGdfB61W66Bu3a9bEBcbdKtWzetwWAYDPxfbY1ZL0RFCKEKCQnx9/GpfLWDUzVcY7jIUkS/MXt4e/YQfvlF7vScOyetkm7d5Pb1oUPyf19f2d/nl19kzlHJMqnkM+bjI4+6or4IS30WFJPVxN9n/ubv2L8xWUyoVWqU4n8uGhd6hvSkR3CPSxqGBTfvgpPaCVN+vvTQlymKU0d5fQB07NgRq9Vaq87aeiEqQFBYWFiVinpWqbZsJYhOSqZRE3f0erjvPnmATAJctUr6UNLSpLXSvbsUuYQEGe8WFCTjU37+WS7TJk+WDty6pK6FpT4Kytnss/x+4ndiMmMotBSiVslatFqVLJ0wKGIQvq6+FT4/MSeRHWd34O5tID3trDRjDYZSp+3VVuKvCdzc3NBoNB61OWZ9EZXA8PDwq6sqXAaLxU7lDC5DVHQh+WlNmT0bnJzkZ6VHDxnU9uST8gCZvFjSwyc7WzpjVSoZaWuzyeTlKxVgqi3qSljqo6DsOLuD/+3/H2qVGncndyJ8IhjWZBjNfJuVa2EUWYrYd24fO87uICVfNogKdA+kV2gvPEM68XfaWRmzcuaM9NxDrRdquhhPT0+EEDpFUfJqY7z6JCqVdtJmZ1etyNHVklOUQ3y0B05GD7TIMIToaDhyRI7r6yuFpk0bKTTPPivjVBRF1khZtgz+/lsujZo3r1/N1GtbWOqjoAC09G/J+Lbj6RnSEyf1pc2V4rLi2HF2B4eSD2FVrDirnekY0JG72t11STxLVGgK7P9FfpOYKJdArq54u9TtDz44OJgjR44EArVS47JeiIpGowkKDw+vtI2YW8M7dan5qXQeGsPLDw5k9WrYtUuOaTLJ5U2JD+WPP2TkrLOzzFb29pb+lmeflYFviiJ9LPXEdx2qRmgAACAASURBVFdKbQlLfRUUAG8Xb/qFy+jmQkshexL3sOPsjtKSBaGeofQM6cltrW4rXRZVRFDjMuVLSn7ozZoR4F5BtfNaIiwsTANcX6Li6+vbLCgoqNK/cnk1bMzFpWSTfLop8fGy3YZH8cpUUaSTf/VqWXM2I0PmHZnN0hEbFgb798vIWT8/KT4TJ9bsXKtKTQtLfRaUEtadXMfW2K04a5zpEtiFezrec1kfSkXovA24aVzJtxRvIZ87h6pxE4w6o51nXDkaNWrkCgTV1nj1QlScnZ0bBQVV/jXbs/jSxZitZpKLzpDjlMHiT1W8+qYPTsIVIQRqtVzO9O0Ln3xyvu1GfLx0ym7aJK3fggI4fFhWmrzjjpqba3WpKWFpCIICskB2ZdppmPKyObVvE8ePbeV4woHzIgKEeTciv6TcgdWKIY9Ldopqm7CwMFdXV9fLV5SyI/VCVBRFCalKTdqazJXLLsrGVdHTo5cH4SG5HDpxjuTMXGzYMFtURJ7VsetLH9563w9ntSvOGidUKkFoqMwVHDpUCk9mplwaRdR+6kelsLewNBRBqRBFITXmCMcPbORYdCRxmWdQkAXNtBonmng0oqVrCEP9R6JLzixNKNygyiKO81uSYVl1XwQtMDAQb2/vprU1Xr0QFYvFYjAaK28iFhbWwGSKyTHlYMpzQckOxJLsR0svaFXsb1OrwcfXRp4li/jMZM6cyyQzPx+rDQ6luRO53IP3PvNGo7jhqXMhIlxbb5c/ZbGXsDREQfntf3M5fGYXueZiR52i4Kd2p6U2kCGKkVBb2PncIIsA1yAZGt20qXTIqqW/xe3XJRC5v/S+oek1U+KiMgQGBqLVastpCFMz1AtRUavVzhpN5adSk/k+BeYC8jPdSYxzIz9dRsZ6eMjDyQnOxKhQq31wtvoQ4QzufvIapTGYLVbyrBkk5yaSnJWFTxsT0KfmJmtHqissDVFQAEJjM7khtwUeTsWOM61WOseaNpXiYTSWqRNaMV7eFzplQ3IrHSlhdwIDA7FarcG1NV6di4oQQh0REVGleWTWYPJngaWAgGa5fL4oGFOB9JeUHJmZcqcnJ0cKW3a2dNK6ukr/iaurGovFH3eLP25O0K1unf+VpqrC0lAFBaDdjNflD7CaePme9w26ocXHrJbr9DpMi/D19cVisdRaLHediwrgr9frqxRtUpM5PyaribRYPf/3Ufk73R4essWGXi8PrVZuNWdmyojaxEQpOtnZ9Ss+5WqprLA0ZEEB7CIoADqv861A9BR/duowTF8OL9BqtbXmLa4PouLm7u5e6Xc9Pd1+vXzKw2w106RDEvPmlV/jJT9fNikrOZKT5f9lEwZdXeXRokXNzbMmuVphafCCYkfcPMu08SgRFXXdL4HUanWtKdsVRUUIsRQYBSQritK2+FxH4GPABbAAjyqKsrO4DP67wEggH7hHUZQ9xc/5//bOO6yp8+3j3ycJYS/Zw73FOnDWvVq1rT+1w2pbR3dr9a2jdtdq6+hytbXLWuu2zmqdVStuhuACUREFREbCCAmEkPW8f9wJBAwCGkLAfK4rFyE5yTmBnO+5n3vOBDARwNec879Mj+F+RPRGLabxcM6h4zq4ulT+f3BxoYplc/OQGxJVCYtdUMrj5OYFxhg453CDmL4oNiAqNRlRwRgbATqPhQB+55x/xRgLA/A7gOsAXuacV7q6qI6l8ieAHwGsM3nsGwDzOecHGGNPGH4fBGAkgNaGWy8APwPoxRhzA9ADQE8AOwDYtKjoDX8vR7GNpcDWEZUJS4MSFJkMSEoiE7S4mH5WvF9VDgPngL8/xEIxSrQlEEFAmY+2AWOMMV7FoC/GmBDASgCPAUgHEMMY2wNgFoD/ARgP4HEAByt7jypFhXN+gjHWrOLDAIzfIk8AxsGdowGsMxx4JGPMizEWBKDQ5HV3HYODg0ONTLOCAuuIirhmh9WgqSgser2+4QgKQPUX2dlkWXh5AUFBdN/FhdawLi7kbK3GBd9h8QGUaEsor8XXt8rtrYGQrCUBgKpi3D0B3OCc3wQAxtgW0HktBJ2/euDe0+nv16cyA8Ahxth3hgM1dhIOAWA66CQdQAjn/Bxj7DKAcwC+rXgMIpGoRmfvuXO1W0hoFBUbsFptCqOwREREQKVSYfDgwQ1DUAAajxB6f60lKyJg9MVRQE3iZAMkJyf7gtwVVRW3mDuHe4GWQ/sAJIFcH5Vyv6LyNoCZnPMdjLFxAFYDGAbzCsYBgHO+GMBiM88zpVLpFhERUe2d5+TUrvNTzzmatSyCTivGzp2nodOxB7r17p0HF5e6T4KyBDqdDipD1uG5c+cgsLUqSRsgtNn/oOM6FDMhjshlENXgu13LVOcyafYc5pyfB4lLldyvqEwG8K7h/jaQAwcgVTOtMQhF2dKoMrSOjo6KQYMGVav1QUyMyUD0WqJEW4LTKZHIuNQB4e38oNVSHopWSxYS5+Vvxsf0evO3554DHrH6nDjLY/ShDBkyBFFRURAKhTbRmtLWWPbVchSoZECjRujceSLGtq9+XVFt0apVK+mNGzeqM9Xsfs7hctyvqGQAGAggAsAQkEkEAHsATDOsw3oBKOCcZ1bxXlp1NWeU6vXAmTP3dbw1R8Dh7KZGy5bUFtLVldoYuLhQwyUnJ1piCwR0XFot3UpKaHkuk5HvRyajbes7RkHp3r073N3dIRKJSgeW2YWlPHpusErFYiTmJOJJ3ZNme7VYE51Ox1C1PwUAYgC0Zow1B3AH5Jh9oSb7qk5IeTMosuPLGEsH8DmA1wGsYIyJAKgAvGHYfD8onHwDFFJ+uRrHoNVoNNWqukpIoDYDtY2ACSAQAKpiAW7dohqjwkIKAKhUlORmbHWgVpcJilZLdWXlLRkOsViLr76q20rVB6GioBip69aUtopGp6E7AgHUOjWuSK+gS+DdM6OsiV6vR1WRHwDgnGsZY9MAHAItl/7gnCfUZF/Vif5MqOSpbma25QDeqckBANBoNJpqbVjboziMGJvxpF1vhOzksuUNuYc4wDgEAj0g0IMJtRA4aCByL4G7ixrOHkp4+CrgFSiDd3AeGgXL8fyIIQBaWOfgLUxlgmLELix3o9YZLG/DORyXGVfnolIdQTHZdj/IQLgvbCGjtqS4uLjKDyyV1n6TayMCJoCQCeHZ5Si6dmHw9JfDM0AG90ZKBAc4IsjbC95iXwiUgdDK/aDK94Yk0xPJyax0DIc8HZAmATkMuOIBdLXx1gfmqEpQjDQEYeGcW6Trvbq4sDR6aGyHkFaQhlxlLnxcrDhFrgL3SlazNLYgKlKpVFplCCHOaqOQCLFQjCZegXiybThSU0kkMguB64qyNpaurlQD5OZGOU7t2lFha0gIddcvKKDG6tacSGgpqisoRuq7sMw6NAtxmWVfMnexO5p4NUGYXxjCg8LRzrcdvJy8qhQepTy37BeTLmLxkngMbDbQ4sddHTjn0Gg0Wmvtr85FhXOuCQ0NrdKBdPOmNY6mDCeREwpynZF8U4PWrRwQGkpiERxMVfCck+V06xbdMjKogfrFi1SXVFhIRYZeXkD//sCjj1r3+B+EmgqKkfosLMtGLCu9r9PrkKnIxEXJRVzMuoifz/2M7KLscpMGnURO8HXxRTvfdugU0AmdAzoj1CMURQXSsjctLqYvCmO4LLlcZ6Iil8shEAhqsVKuPHUuKgCg0+nUOp3OmPV3F1otLX+siavYFf7Ns9C9ty+4uhHi48la0mjKIjt6PUWAvLyo5YGDA/XrCQ0t65+r09Fg9vrC/QqKkfosLEaEAiFCPUMR6hmKJ1s/aXYbmUqGpNwkxGXF4b9b/2HNhTWQq+QY4WEyt0urJe++qytylDmQqWR10lk/MzMTIpGoRmHhB8EmREUoFObk5OQ0qaz7m0RSuxm05nATu0Eu9cCmTSK0akqiIRTSzzZtKJRcVFR2bHo9WSiM0U+lkn5yTtZNfeBBBcVIQxCWqvBy8kKPkB7oEdKj3OORB3/HQcSWPVBQUDpk+1b+LXQN6mrNwwRAoqLValOttT+bEBWBQHAnMzMzvDJRqc0G15Xh6egJd58baNMyFy0CPEp7tyiVNIVQJCKLJT+frKiiIvKd+PkBffoA3boBHTrQ90mvp9CzuG5TFe6JpQTFyMMgLObIy7tT/gGZrPSqki5PrzNRUSgUtTwguAybEBWNRpOSkZGBLl3Mh93c3Kx8QACcHZzh5OCIpBscPk5kkUgkNOLUw4PqxFq0AEaOpGzZoKCyWjOJhIa4HzxYNiNo8mTqSmiLWFpQjNQXYTmcfBgnUk/A39UfvUN7o3Ng5/tOVssrqDAyMz+/1K8iL7GaW6Mct2/fLlEoFA+XpZKXl5eUkZHBUUn1Y13VrAV6eeH8GUd0akEd8h95hGqOTDs1FBeTr+Wvv8qWP35+NFf5/ffJp3L2LHD5sm2KSm0JipH6ICx/X92FNj5t0Tu0NzILM3Hw1EGodTScvaN/R/QO7Y1Qj+oVG0oKKrguNBoyY93coFArzL+olklJSVGihqn2D4JNiIparb6TlpamBOBq7nlnZ3KG1mZPWnP4ufqiVY8YfPUV9QzW62mcaXR0WesFJycgPByYNImWP4WFVErw77/Axo3UVlIspm1sjdoWFCM2LSwyGaYuOIStbfbh88bLUeDvCV/fJujTpC9GtR0FtVaNfdf3IV2eDoB8Kb1Ce6FbUDc4O5RvQakqlEGuMtONvaAAcHMr68ZvZVJTUzUAqiqXsRg2ISoAMlNTU1WoRFQAuvL/+68Vjwj0BcrJbIT3ZxfC0cUNjJGl0rcviQhj1NLy1Clg5Ur67mRnk0M3MJC2ff11smAOHqQeQK1bW/czVIa1BMWIzQqLuzvCVmzG/P37gdhY8JvJuOp1FTvaJODDJquR6+8G30ah6B7SA2PajkGQexDOZZzD0rNLodKqwBhDW4OVw26nm99HQQEQEgJXh0q/3rXKnTt3gIdUVO6ZqxIeDkREkI/CWjDGEBLghX69LuN/4yjRJD+fhq5v2EBWbW5u2ZInJAR46SXytxw6RH6Vv/+mxLguXepuGVcRawuKEVsUlks5CWjd9RE49+wJAGCFhWh/4gQ+/e8/IPIyeMYdXPO+gd2tr2Fusy2Q+rqgkVcQOgd0xph2Y/BIwCO4mX8TJ9NOwi25ktwBQ7bk/YxStQQyMvEfrjwVAHdSUlLumaro5ERjRv/7z1qHRDT28cf2vTLEJpR1y9fraWayjw8wdiwJRkwMDWpfvJjS9Js3B4YMAQYNIp/LmTPA4cMkOnVJXQmKEVsTFrVOjW/PfAulRokwvzA81eYpeD/xBPDEEwAAlpmJdkeOoN3Zs8DRK+CyfCQ1SsHeVrewuPleZHuL4eXpj57BPdE6t5JkquJiQK9HG582VvxkhFqthlqtVtWk9udBsQlR4ZxrgoKC5EVFRX6urpWbiP37UxZrbbaSrIinkwdOX/VAaCi1PRg2jELGubm0pNm0CVi4kNL127QB3n0X6NiRBCQ2lnwww4YBX3xR953k6lpQjNiMsNy+je4/7UD3vn3BH3sMVwpu4LfY3yBTyRDqEYrR7UYjNCgUmDiRbpyDXbmCNocPY1ZCAmbtSwQvVuKGdzri+7vhuqgSpx/ncNEJ0MyrmVU/HgDEx8dDJBJdtuY+bUJUAEAoFMZeuHChZd++lU/yYwx4+mng119rdzphRTo2z8ecWYW4GO+GiAhg7VrykzRuDHTuTFEeDw/gn3/oduwYhZqfeabOR76UYiuCYsQmhKVxY7oinDkDtnAhwnQ6hA0dCgweiNuFGdh9dTfS5enwdvbGU22eQnvf9mBhYUBYGL1erQaLjETriAj4BnrjYsaOSnfV3ze8tPrdmpw7d06Xl5d31Jr7tBlRyc7OPhIdHT22b9++92w84uJCS4i1a8sK+2obXUkTjHqqBKHN3NC8OTB+PDB4MC1zdu8Gfv6ZCghHjaJju5eQKBSUEGfNLoy2JihGbEJYBAJaV/frR2n1R48Cc+eisYMD3hk5Ehg6FXmqfOy7vg/rL66Hk8gJj7d8HL1Ce0EgFlOuwYABuLLv50qDtt5wQk/PMOt+LgMnTpyQKZXKKGvuk1lxqXVPGGNdx4wZc2jXrl1+1dk+NxdYt846FotaWgAH9SXM+60/7twh5+udO4C/P/C//1Uv/+TMcQ0WzMxBQZYKv27xQMcB1ildri1BiYiIwKBBgyzyXhKJBImJiTbhYylFpQIOHKD8AVdXYPRo4JFHoNQocTj5MKLuREHABOjXpB8GNxuMv36djpvS63e9jRAMU9AFjSdNp2xJK9O2bVvJ9evXm3POq9NK0iLYjKUCIOHChQvV3tjHB3j5ZWD9ehKY2kTs5YIrh13x8cdULDh2LEV6qkKlApZ8XoC9mxXwFcvR8VEvCB9vBoGvddZEtmqhVMTqFoteT571nj0rNyudnOgfPXYsmZd79gCbNsHF2xujn3kGo4eOhlavxam0U9gTvwMpOeYdfSPQCo3hWT5j0kpoNBrI5XKVNQUFsCFR4Zyrg4OD5Uql0s/Fxfz84op4eQGvvQZs3UrtB2oNBwe09lDipbFJaN+z6kSThASOz9+WIiNZie4t8jFgTFt4B4di0iTK2P79d+CNN2p3ekN9ERQjVhWWS5eoR8W2bUDv3iQc9/Kiu7sDL75I93NzgZ07gVWrIAoOxqBnn8VFeQ4SzPRA6ovG6AHD1acOCr8SEhLg4OAQb+392oyoAIBQKDx/8eLFlo/WoPmIszM55vfvp3lAtYWDhweuHZVUKipaLbDqeyU2rpTBXV+A/gMFaNajDTp1bobnnyfR++EHqgtydASysmpPVOqboBixirBwTlZDcTH9VKuBjz4CmjWjjMaqCs18fCijEaAmOnv2IIHffd72Qggeg8m6uJoXSkty7tw5fV5e3jFr79emRCU7O/tITEzM6EcffbRGtqJAADz1FDVPOnCgltokuLnhepQUep0eAmGZlzU1Ffh8Wg6uxinRvXEWnnymNWQsGAP/R6HnmBjgk0/IgnZ0pAve4MFkdatUlu+0X18FxUitC0tyMsX7s7PpanT6NAlNUBDwzTf0D3n55eopfnAwlBPGIXnFtnIP90FjPG4qKIyVtj+wJidOnMgvKiqKtPZ+bWoSlEajiTl+/Ph9u1579KCLTa1cFDw9oZQJkXTqFvR6YOsGNQa3z8SrA5LQ3ecWhk4MRtConpj4f9746ivKtp05k6JUej0d1/ffU0JcbCwwfTrw22+WPcT6LihG/P39S8d/lFQ1v7im6PVAejrQqhXVfdy6Bbz5JlkuRUXUr2LDBuDjj2l8QxVcjvwHOn1ZMvhgNCsvKAB9Ietg6Fp0dLQeQPUdlRbCpiwVAPGxsbEPFI5q1oz8FRs3WrhbnKcnwBg+n1GCFGk6OvpmYvILAYgvaA2XDsCnE2jZvH07VSUzRj1XJk6k3ioA1f789hsVrgoEZLFYioYiKEZqzWJp0wb47juK6mzeTIVc//xDvpLp06mcPDOTHo+MBNasoexao3lZgfMJR0rvP46W6FNuDpeBOqjPKC4uRkFBgZJzbqXEizJsSlQ45+rQ0NBbycnJfi0foE+Alxfw6qvUjsBiDlyRCPDwQLOMBIS/8jhyVKFoPgCYPIBmAK1bR5MTHRzIgn7pJcqsBch/snIlLXeKiykM/fjjFjouNDxBMWJRYcnOJg/5hx+SU7ZnTzJtjxyhitAnniAHbH4+mZjJyVRb0bUrWTBz5tD9ceNKIzlpiXHIklO9z0i0Qi9U0h6hDkTl6NGj4JwftPqOYWOiAgD5+flr//77786zZ89+oEuT8cT++2+6+FgEf39opUo0d7yD97/wREEBsHQpXdgcHMjKnTKlrBJZLicxyc8n4enalSwXS6brN1RBMWIxYfH2pn/EgAFUoDVgAFkejz0GDB0K7NhByUfPPENXI4UCmD2bHtu2jUrOW7YEPvuM/C1TpiD6zC4AwGNoUbmgAGTlWplNmzblZWdnb7T6jmFDyW9GGGPB4eHh52NjY/0t8X6cU4rB+fMWeDO1Gjh7FsxRBEGfR6EspkmGQiFZRk2b0mYlJcCqVeTEFQopYDB1quV9dXUpKJZMfqsOD5Qgd+0arYsdHalwbOpUKiX/8UcqITei0ZAT7MYNYMIEKjVXKoG33qK6jA0bKBrw+OOQx8djWfwq9GEB5aM85nj8cfLaWwm9Xo/Q0FBJZmZmCOfcaqM5jNicpcI5zwgODpbLZDJ/L68H7zzOGC03hEILhJzFYsDXF/lpchRdzEfjzj547bWyxtY6HS3T4+Lo4iQWA9OmVS+QUHjgJJyG9oVIXD2HXkO3UCpy3xaLXE7O2ffeI+Xv0oXEYu1a4MknSTymTSMnl4MDJT4pleT8KiwsqwkpKaFq0eJiYO1aHG/iibbMA8OqM3nSAt/jmhAbGwuhUHiuLgQFsLHojxG1Wr39wIEDFjOhGKPvT+fOFnizkBB4OZegLU/EZ59yBAeTNbR/PzBrFi2FOKfCx4ULqyEoSiXOvfITPlkZhKJiu6Dci/uKChUW0hr0jTcofLxkCan/lCkU/bl0iZY/ptncLi7AjBnkW9m+nf6hkyYBf/wBrF+Pgpcm49bNGDyN9mDmO6CWx8rT5LZv316YkZGxxqo7NcEmRSU3N/evDRs25FjyPRmj8o127R7wjQxDfgrztEjcm4yoqDK/HkDCtWwZ9bOtCn3seXw/Yj+iW72AZXtaVWvp/bAKipEaC0twMLBiBVknYjGVj8+YAVy9Spmyv/9O+SkzZtAyR2HSR9bbm0LLkyYBq1fT+vXll3Fy316MEwZBjGo4xxgrv8SyAjt37izW6/WHrLpTE2xSVABcjIuL01Z3cHt1EQiAZ5+lBkoPhMF58t1iNc6e4RCL6fu5dGk1ozp6PTK//B0zZjEMWP40pn7sVZrGcOkSpVGY42EXFCM1FhahkJY/YWHk7PrkE2DvXrJg9HqKAh09So7Y4cMplGfqawwOBr78Ehg5EoqIU2Dp2QhENUc8+PhYte4nNTUVSqXyNue8brpsw0ZFhXPOBQLBsVOnTln8vUUial3wQAO+fHwADw/4CfKQci4Hn39O1nS1ojp37mDf6N/wY8pTWLy/C7qEl/0L/v4b2LcPUORpIEsr3/3PLijluZewpKdXEvHr0weYN4/UPzycfn/3Xco7EAopbLxrF61ln3ySEotMad0ah6VOGOlcg9OmsZm8lVpk9+7dmoKCgvVW3WkFbFJUACAjI2Pdli1baqV/vqMj+d8CAx/gTZo3h7ODFo3lCXDg1Wucq/prN+ZNuAbVhJexcHVgaTSIc1rql5QAfbsUYdOrR+Gmzit9nV1QzGNWWHJyEFyUhL//phSUu/D0pOVORgaJx+LF1L7vjz/oHxEQAGzZAvzf/5Fj9/33KcEIQNq12/BLSoegJp23jCFBK7FhwwZZUVHRTqvutAI2KyoAIvbv36+prZC3iwstlSsZilg13t6AlxcUCuDUr1WkcxcV4cobyzFn/SN4deMQPPNCWeRCqaQL5IABAM/Lw8VF+/DF/u4QtWoGwC4oVVFOWFQqYOdOCFavwmdPxOLmTQrc3AVjdFV5/nlKhnv+eXK2zZxJYgMAI0ZQjZBIRGvaI0dwclUievvkmXnDShAKKb/FSshkMty+fbuQc55mtZ2awWZFhXNeotPpTh0/frzW9mFMVrvvi4nBOXPmQAFyk8x/2XjMOfw+ajcOBL2C5btblLOG09NJUGbNAk5tz4Jo3x5M/3cUmJ8vALugVBd/f390CAhA5NmzUHfqRCfz3r14o9V/8PEhY8TstalVK1oKbd1KnvYFC6hX6ebN9AJHR2DRImD1aiRdlsJfkgEHYQ2qVVu2pDJ6K7F+/Xq1SqX63Wo7rASbFRUAyMzM/HrJkiW12oLJ2DqhOtGau/D0BBo1glYL7Pv2SvnndDrkLvwFsz8QocMX4zF7vkc5n0tkJBUYfvUV8OOcVPSU7sOzuyeWfglNBaWoyL1O5knXJ/zOnEHvhQtxVqWCetw4CiVfuoSnSnZg+HBaxZj16YrFFOEJCQHmzyeF9/Mjx66heKwkuAn2nQ5A75AaDvmrQQuPB4Vzjh9++KFAJpNZuEy15ti0qACIjomJkefWcms3kYiys0eMuI8UeoO1cvO6FnEbE+mx27cR8eyP+Or605i7swv69Cv/Z964kerZPv0U+OS563i51Un0/ePV0p2bCopa7Y4vv3zQT9iAOXuWanNeeQWOw4ej91df4WxBAUpefhlISQEKChB+4Q9Mn056UelXacgQ4IMPyJHr6grMnUtWzKFDOLLsApoKJXB3rMHQqaZNLRBmrD6xsbEoKiq6yDm3aCrG/WDTosI550qlcuWaNWssXP9unt69KaHS17cGL3J3L33Bv+uzIftxPRZPvorbT72Nb/70L5dMqdORhe3pCTzzNMdHT1zA3OevofX8smFApoLCmDs++4wscGdnUBj06lXLfNgGQEkJ8NuHNymKo9MBc+bAsV8/9Fq6FJESCUqmTaP6DA8PNNm2BIsWcsybV5ZTdBe+viQkCQmUv7JgAdJ4MM4dVaJP40oGhZlDIKDQtBVZtmxZfkZGxldW3Wkl2LSoAIBCofjjp59+klurRikoiHKgBgyogdViuCKpijm+WB2Cp38ahomvistVyhcU0JVy7FigSbAWS545g+/mK+H78qjSbUwFRSx2x4cf0oXT0xPUhGX58jrpdWqTREfD0RHwmTYB2/izZSfxp5/C6ZFH0PPHHxF55w5K3nuPZqaEhcFz2Tws/U6P338nA8csjNGVZcQIaLbvxs5fc9HKOw8BbkXVP7b+/R8wZ6FmKBQKHD16VAnA6l3ezGHzosI5z1epVCePHrXe6BKRiKzhN9+sphPX1ZXCSIzBw1MAyZFL5Z6+cYOWOnPnAneSVdj9ziF896cvnIeWFZmZCoqLizs+GCFlFAAAIABJREFU+oicuP7+oErZjz6itb+xJYRcTj0sHzYKCuikT00F/vwTzzwnQPpLHyLqdjCFgAFg4UI4N22Knr/+isiUFJR88glVlQ4dCoeP52DRPDUiI6kwuVLCwrDnXBBk+UD/pjUIpjRpAgwc+EAfsaasWrWqpKSkZCXnZhrl1gE2LyoAkJmZOe/LL7+0+lrR3586C44dW40K4+bNS7t7HduZj9TTlBZ79CglaC5dCuzdWIDUpTvw2d/dIWhfFmo0FRQ3N3fMnUttUJs2BcWcp04FxowhpQMoMjF3Lj33MJGRQUoQEUF/1Px8ICYGM+Y4YOfwX5D6XzKFegBgyRI4e3ujx5o1iExKQsn8+dTS4Pnnwd6bjZlvFEGjIWe5OSM4duMVXI4pQUvvPDTxrGYzQk9PCk9bscubXq/HihUr5DKZ7Ger7bQK6oWocM4vJyUl3blhzXmnJnTuTIWs4eH3GBTm5ETzO0CZ31sX3cDyr4px6xYFFZZ8KIXPkb/w+r4x5ZJjKoaNFy8m/Wjf3vBG06bRvJipU8v2tWoVpQWbNP+xsQ4WlqW4mJKK5s+nVNk336QCwIICYPNmsNwcfPGtC77t+zfkP22gIkAAWLkSLiIRum/ahMgrV1CyYAHNdJkyBZgzB+Mfy0XXrtQixdToy4jLwoE1EjBwDGtxs3rHKBZTxbOVe9Hu27ePq9XqQ5zzWkkUvR/qhagAgFQqnffNN99YcdhpeZydqYXClCmU92aWpk0ptwEU0VREJmDCc1q8/+IdPJa/FU/tfKXcl66ioPzwA9CrF5WiAKB6E6WSMkCNxMdT0Vvv3qUPxcUBW1/8m0qkGxKc0wiCbduob0VMDD12+za1e9y4ERg0CPjiCziKdJi33Auf9TgI7cw5tC0A/P47XJVKdN+xA5GXLqFk4UISltdfBz7/HP2b3cbEieTvUiiAwqxCbJl/FVot0CkgG0Hu1ejGyBiFDx8oRfv+WLBgQU5WVtYCq+/4HtQbUdFqtf/s2bNHUdvh5apo2pQcuV27mnlSKCz1eTAG6GSFmD/sBN5peQDdVk8lZ42BioKydi0ZOkOHGjbYuJFOpJUry5yzxcWUnDVjRun76HTAmqX5ePb2crKAdu2qpU9uZXJygKgoCn0tX04JPTIZNUsKCiJR8fSk/hLPPAN8+y18fYG3FzXGgi7bqXL0tiFis24dXLOy0G3fPkSeP08Wy6ZNtLZduhRt9Yn47DNg3x4ttnxwHvICwFmkweMtKwsTVWDwYKtmzhq5ePEi0tLSbnLOr1l95/eg3ogK51xXWFg4b968efKqt65dHB2pjcLTT5uZEeXvX67U3c2FI9mj/LqpoqAYdWDsWMMGZ8+SqHz9dfleHIsXUxaXSVhqzR8cU5I/hXDRl8CVKxbu9l0H3LlDy5vkZPKBvPMODUs6eBDo1In+NnfuUOPf2bMp8eSHH6iz2549aNcO6D+jG1a1W0IKXVREf/u//oJbUhK6HT6MyNhY8rHs2EHLyA0b4JsVD8G5aKSnUmf8Ea1uwFVcjSr5Zs0o2lMHTJ8+PTcrK+v/6mTn96DeiAoAFBUV/bl169bc27drkDNQi3TqRFb0XT142rQpPfH1TIiT++SIWk0DpyoKytGjlK4/ebLhtampdPWdOpXGRRj55x8yj0zy/CUSIO1APLo1yaEv9po1dPU15eDBWhqEZEG02tKiPXh5UdvO+fOpGXXnzqTiJ09SywKBgPwpxcXUdGnCBLLobt6knJSkJAwdCoiefwaHgqZQboBOR8KyYwfcLlxA+IkTiIyJQcncufT3GTsWBzbLcOU8Jbd19Jegc2B21cctEpEDrCYFhhbixIkTSEpKusQ5j7b6zqugXokK51yXl5c3Y86cOfl1fSxG/PxIWNq0MXnQyemuqe0HN+QgeuulcoISE0Pp+tOnGzZSKGhxP2QITUczkpFBG5aaMsTSbzSYlT6bQhgREZQEZprHotNRjgZA73v9OimRrRATQ+Lp4UHLOoB8To88QqLh4UHH/8MPZIF9+ikV/UkklPnWqhVtExZGy5k+faghU1ERXn6FIXrwB0gQdqI2BpyTIO3ZA/eTJ9E1KgqRUVEo+eAD/HdIg+gz5Kn1dy3CqDbVXE2Eh1u9VSRAKfnTpk3LzcrKetvqO68G9UpUAPKtRERE3ElMTKzrQynFyYkumIMGmVy0goPLeXQdvXW4KU+FR54v3N3dkZhI7o+PPzZsoNNRb4+gIDpxjOj1tOwp3ZA4fhzofGULvEb1pyXXrl20HjPln3+AUaPoxMzMJCfv0qU090ajKavItRZ6PYnBoUMknPv20X2tltoNGENYr71Gojx/Po10zMmhkP2dO1QFGhBAnyk1lV47dSqtQxctoqXTvHkA5/j4MyFWdfsFkjsacoQBJCz798Pj0CF0vnoV/+4+hjOnqLDK1UGNFx65DEeRzvzxmyIU1tmyZ/fu3XqJRHLU1nwpRuqdqHDOeXZ29lvTp0+vQQ167cMYicoLL5hMSGzbFhCJ4NRIh6Yjlbi13wV7f8zF/h+TsWoVBXdKRWjePLo6f/ddeXP6hx8oqcskaqRWAzv/kGG8/Dcq3d+2jRyTFc3wU6fIoblvHy2loqPJ2enmRr6Jy5fJCVpbqNU0bycjg27r1wM//0xCIJGQyDg5UanDpUtlVpWHB1khajWJUHw89TvJyQF++YWsGr2eHs/JoSXMzJm0jly8mKy8X3+FUAgs+NYRX4TvgioisiyKJhIBBw/iYkYrXN/ngBZjlHBzV2NS54vwclJV77M1aULHbWV0Oh3ee++9vOzs7FlW33k1qXeiAgCc89MJCQlXIiOtPia2Slq3Bt5+m1JL4OQEp87BaDpSiZQDLijJE4Jz4NjmLIxtk1Dmb12zhupNli0rP1w5JoaWM126lNvHTz8BU9M+BPv0E7q6R0XdfdW8cIH8Ebm5QFoa+ScAOsnHjKHlUvfu5hPovvuO/BVGjPVGZ8+SKMlkEMnltCSJiyuzNJKS6H0LC7EicgX0CfEkaNu2kQWWlEQiMHQoWVenT5OPyNeXxGPz5rJ9vv46/REXLKCm1YcPA8OGUfRn1SrylGdkkIXSoQP5VB57jPwrUVH0dzl9Gm5uwIcLPfBZjwPgv/4GbN8OrufYv+gCjh0XQpEmQn6kEF3G5cPLqwYlZuXWu9bjzz//1CgUiq2c8zt1cgDVoF6KCgBkZWW9/c477+Ta2twigC5gEycCw4fL0bxnKlLOBqMkryxi4+qgwdEtUhz9Ng78WAQtUz79tHyeg0JBc2beLr9sTk0FimMuo20jKZVVr15dlp5uytatNE1v40Y6gS9dIoEKCqL9qFQkWuZM+P/+K19hu2UL/Zw6FThwANi8GaE7d1K4e+5cEpc//6SCx9xc4OZNeDh6ICXYhayHnByyojgn0eSchDIjgwQOoMcPHCjLtfHxIWtAq6VIT04OLW+KikiMJk8mB+6+fdQO0teXfCdNmpCItWtHS8KsLISGAuNnBmNJ353Q7fob29+LRPQxquXxcVZigv8ldJKkI7JFC5SYhP3viRUrkI2oVCrMmzdPJpFIPrX6zmtAvRUVznl8RkbGqYMHD9pkaEOhkEOlisWAAd3RZmiHcjkqRk7uk+PCF39D9+w4cvqZsnAh+VEqLGm+X6rFjFszyKqRy+mkNY0SAbS0MA4eunSJLJKrV+kq3749WS6NG5Pzt1evuw++sND8bBG9noTJtNLS05OEwMeHrIXmzYGbNxHmH4YEWRL5bow0a0am3IkTNGDawYEEw9WVXi+RlG/V9vrrtP2iRRRaXr+ehC0nh0LrP/5IAnXjBoWgjx4lcdbpaKkzdSpZOhoNunUDHnunNdaK30RCHFkkbX1y8Hq3ODRyLoa/QoH2mZnVExbGrD52AwC+//57VXFx8UrOuc0EKsxRb0UFALKyst6dMWNGnk5XDceaFTENGwcFueOZF53xygd+CPW4O8VmNx+DNYdCIE83ee6vv8hBU6HX5T//AEMzN8B5UC+6Iq9cSSdbRf78k1J/T50ii6RfP3L0SCQUQTpwgJZDGo2ZRBsDFf0zGg2dwGJxeYH09iZR8fMjsWrRArh1Cx38OuCK1NC4yteXrJkhQ0gIz56l/fv5kbC1bk1+FMaob6wxZz4ggF7LOYmiSESOWwcHEpbUVIrr37pF79W+Pb1+4kQSmS++oNDa0qXIjpci4utopN3SwUGgw4hWNzC+YzycRGX5+dUWFg8Pq1eLy2QyLFu2TJabm/utVXd8H9RrUeGcp+bn52/87rvvbKYvWmUtIJs81havTVJjXFgCfF3K+zHSU3X47a04KkK8dYvGdI4YUW4bpRKI2F2AJ7L+oCVHRgadbBVL7NVq8nsEBJAKNW5MIiIQ0GOhoXTyu7ubn0djzOmoSFFR2RQ/4wnHOV2xpVI60eRyCrHKZHATu6FIU0QWT8uW5Odo0YKEQKMhMerUiSyt556j9/P0JF/Qvn1l+33tNfJffP01WR6//kph4/R0cvquWEHHvG0bWUqdO1MXtx49yL9y5gzimz6J32cmID+Po4V3Pt7ucQ69Q9PNfsxqCUsdhJGnTp0qKyoq+ohzbvNVpPVaVABAKpV+sHTp0sxr1+o+ulZlT9knn0SHliWY2iMG/2t7DR6OZY7BwkJg7Wc3cG3uBvA579/10uXLgRkZ79OV18mpcivF6EvJzycL4qmn6KdEQid3SQlZG8eOUXp5RRIT6apvRKul5Y5CQWIjEpVf/hitEIHAfFVjeDiJyIULZWIVEkIp9K1a0bFcvkzFVb6+FAHbs6fs9Y0bU7SKMYpehYZSrUSLFmSFffMNRcAYo5BzbCzta84c6J4chX1XW2L7LznwECkxvmM8JnW+iEbO974GVSksVuw7CwAHDhzQ//fffxcVCoW5Nt42R70XFc55iUQiGTdu3Lg6XQZVq0m1szPw9NMQCIDwoExM7xmFx1okl5rgej2w+XZ/rJ1+DgVpZbWTiYmAW0o8GjtkUeg4MZFOzIojDTmnE6pLF4qkuLiQNeLrS8uFMWMowWXgwLLtKhIRUd6/k5tL1khhIZ24ppYKY+QEzsmhfRtFxfCTgUHXMYyWLsYGsa1bU6j90CGq0PT2JiHo3ZvE0tmZBO+mSXXwK6/Q0mbJErq/ejWFmO/coaVUz570ORMSSGzatUNOQhZ+uTUC1y8o8b+21/BOzxi0861+94x7CktNB8Q/AAUFBXjjjTdysrOzx3NbjEqYod6LCgBwzmMzMzPXf/PNN3WyDKpR1/tmzUqb+DgI9ejb5Dbe7RWJ3qHpEDLyOafc0OLnN84jbmMiOAd+/lGLt6++S1dlxqjV4Wuv3f3eZ85QXgrnlMPRujVFQDQaEpbmzctyV/R6830/oqPLNxnKyaHXyuVlomJqqQQEkAPYyamsHMAQ6Wnu3Ry31Nm0dhMI6PnBg8mxeusWWSFhYbQcGzWKjtvXtyynxUjLliRkAgE5ebt3J8vr8cfpuD74gLZXq6G/noQTWW2wZTNHb6+r+L9eUQgPyoSA1fx8rFRYTMP+tcxbb70lk8lkczjnWVbb6QPSIEQFoGXQ8uXLM69auYfrfY3RGDiQTH8Dzg5ajGh1A1N7lF1NVSpgz6psLJ0QgzHS3+HQrRNd4U+dIn+BOQfrnj109Y+JoWXE+PG0bMnOJscuQMuZ7GyydMyRnl7eUpFKaTmUk1NmpZieYEFBtNTy8ytz5gYFAVlZCPMLK3PWtm5NeSpNmpCICIV0LCEh9FlOnSLLysuL3uPkyfLt7ydNAjp2pIzg556jZd6yZdRTJS8PiI5Gxhe/Y2fxE/C8eR5Tu0WjW3AmhIIHu7ibFRYrOWn379+vP3bs2IXCwsI6nThYUxqMqNTFMui+5/IY+29UaMzi41KM8R3jMaXLBYS4UzRIkVWE85mBOO73LNSKkjKfSUVSU+kEFQppfmqjRnTyNm9OJ93o0XRSt2pFeSilPRYqoNWW9xkYRSU3l04mgaBMVEQi2k9hYZkfRqEoDSu392uPRGkifc62bclZa/z83buT+D35JL3HxYu0PHN0pN/j4sqaLQEUNjeGtA8fptedPAnMmoWSNmE4d1mMgqPn8EzwWXQOzL4vy6Qy7hKWGo9cqDkymcy47JlQX5Y9RhqMqAC0DMrKyvrz66+/rnUP+QMP+nJ2ppx+M6Z0My8ZXu8Wh3FhCQhwLYRC6IVj/2rwy7ijuBo0yHzR8bp1lBCmUJBV0acPpa/LZHRSt2lDv48cSYWF1c0INRUVJyeKtBhPKicnOslLSmgbV1fynxjCyqURoK5dyaIwdu7r2JES8AwNqdG6NYlir15k7RiFquIguQkTyA+0YgUwbBg0hSqkBPdClmc7dNdEor2vtNYKhssJixXaRb7xxhuygoKC2fVp2WOkQYkKAEil0o9WrFiRWZsFhxabHOjnR1ZHJVe+Dn5SvNX9HCZ0vIzmXvnIK3bBlkON8PMLJ3Flzw1wveECVlREFoanJ+W4iEQUktbrKbnMmMiWlUUnM+fmw8Yy2d1OSKOjNi+PhFCnK7NUHB1pv3o9fRY3NxKVJk1IJIx07UqWiJFBg8hqMfY68fcncfrvPwp1u7mVtTswnbTetSugVkM7YCByDpyCPCkTzeIPoKmLddoXlwpLYeFdQ+Etyd69e/UnTpyIKyws3FhrO6lFGpyocM7VEonkuXHjxuWp1TUY/lRNLD6KtEULqi6u5BLLGNDWNxeTu1zEOz2i0bdxGlQyFbYuTcfPL5zApe3XoV+7jmYDA9Soyc+PojgdOpDlMmoUncAuLve2Us6evatlA7RaEhGZjF5v/B0gS8XYB8XPj55PSiJBMPztBUwAnYd7mWAVF5OwZWeT/yQ/n5LijNGbN9+k7YKCSJi2bi09lJKiIuQMGw4lc4Bv9FH46K1fU+qvUKC9h0f5ofAWJDc3F2+99VZOdnb2C/Vt2WOkwYkKAHDOz2dmZi557bXXLDovqNZmG4eFUT5JFba7n6sSj7W8iVmPnsUrXc+jlUMaTvxxA7/+E4zTR4pRHBFJJ+3TT9NV/vZtuup36EBWwJAh9/annDpVrvdtOeRyslSMeSsAiYrxxPL0pH2lpNDvhr97C+8WuJlvCA937UqNlAD6rIMHA0eO0FKteXN6bWgoCZW7O1lFycmQZaQi459tUK1YCt9Tx+GhUlTv71pL+Lu6lg2Ft6CwaDQaPPHEE/l5eXmvcs6r0SXKNmmQogIAubm5iw8dOnT0hx9+qGYt+72p9WHp3brdlUVbGYwBTTwL8HjLZEzrGY3xnRIhjovEwZ9u4bSqK25JXcE9PCjs6utLL4iKonyOO3dKu/7fRXw8dUozh0pFFoTp8sfUUjHWw2SXPxfC/MKQIE0gf4ux/QJAAsM5LYuEQrJUBALg33+BFi2gGzoEGe+9jYQBHaBf9ROCYxPgqbaRcgyRCP7+/hYXlrfeekt+8+bNFUqlcq9F3rCOqGZJZv2Dc84ZYxMWLFgQGxYW1n7o0KH3LaC1LihGevUi/8ShQzV6mbezCj1CMtAjBNBzhoz9e3CJhcBH4ALnTt3hwzm9L2P3toby8ymPxhTj9sY6IVNLxdGxTFSMvxtPMLEYKClBe7/2+Df5X4zp3IUEzdi4fOBAKh40Js317w+9qhhZLQNxqa0Q4tsZ6KryQnCWFoB1M1irxCCq/v7+AIDIyEj07t0bjg+QFLdy5UrV3r17j+fk5HxhkWOsQxqsqAAUZmaMDXvppZfiTp8+HdSiRYsav4fVBMXIo4/SzxoKixEB4wj1kCMUFJJWxxxDzvmLEDfuANHh03Ds0Rv3DIhWjGwYl49qNQlFRUvF9CptKljNmgGpqXBp0wbF2mLKfdm2rex5Hx/AwQGqYYOQfOwvJGVfRIpPEtrfkqAvGsMdZqqkbQWTiJ0lhOX48eN8/vz5t6RS6bj66kcxpUGLCgBwzrMYY6NGjBhxKDY21qcmwmB1QTHygMJiiliogy+XAtlSIPsGtBBBnSmBoFkTCJqEgoUEg3m4my8kNP1+q9UkJpU5aitiCCuXOoUDAgAXF8h7dEbaie24fecKUjVXkX1iJzy4GD0QghHoDKf68JWskAbwIMKSkpKCCRMmZEml0mGcc4ss1euaevAffHA457Genp4zx44du+Lff//1FlQjz6DOBMXIo4/SSX7woEXfVgQtkJlKN8OQ8s8dzuDzwPHA6DFAVCTQqBG4hwcWfyfGp50Mmb+cU9i34vKnsLAs1BwUBLRrh2J5HuQuehSnpyLzwG/okqPDmh9egUSeieI0qqQQQ4g28MEQdERrNAKD9TvS3zdmcovuR1gKCwsxfPjw3MzMzDGccys3DK49WAOwtqqNv7//95MnT57y7bff3lMl6lxQTDl71iIWy/3AwaERMuhcnaEVO0DrIIBaCJQwHa66BsJXkYxCXTHkmkIUaBTILymATCOHVl/eoSqGEB5whA+cEQg3NIUXGsMDDvdeiNku779v0oi4PBKJBImJiVUKi16vx8iRI2VRUVGzZDLZmto61LrgobBUjEil0hlr167t0rVr194vvPCC2QIOmxIUgCwWzikqYmUYGMQ6APJiAOVrNW+2DUb4HT0AR8ONOqFxcGihhx50sXKAEIL6ZIVUhYNDpYICVN9i+fjjjwvPnz+/uaEJCtCAQ8rm4JzrpVLpUzNmzLi5f//+u+KTNicoRvr0oYrcegADgwOEcIQIjhA1LEEB7m43YYaqws3Lly8v/uOPP2KkUul0My+v9zxUogIAnHO5VCrtO2XKlFtHjhwpraKxWUEx0qcPdYu3U7dUs+tbZcLyyy+/lCxatChOKpWO5JzbSOKNZXnoRAUAOOe5Uqm074svvph24sQJbvOCYqRvXyoIrIMxm3YM1KCVZEVh+fPPP0vmzp17yRDpqb3ioTrmoRQVAOCcSyQSSd9x48ZlrF+/3vYFxUivXlTLY4VKWTtmMDdl4B4YhWXx4sX8gw8+uCqVSgc3lNBxZTzU30zOeUZ2dvajCxYsSD9//nz9CYOFh1NXeSt2ILNjoLISh3tw8OBB9S+//BIvkUj6c86LauGobIqHWlQAgHN+Oysrq9dzzz2XaupjsXlatqSWkpV1cLNjeRwdqU1DDfj1119L5syZczE7O/tRznndVkJaiYdeVACyWCQSSa8XXnjBbFTIZvH1pemEjz1m1WbMDy2hoTXyZ61YsaL4s88+i5VIJAMfBgvFiF1UDHDOJVKptPeUKVNubNq0SVP1K2wEgYAcuLNmAcOH18nkvIeGipMgK4Fzjnnz5ikXLlwYJZVKh3DObWYulTV4qJLfqoJznssY6zljxox/4uLiwr/55hu36qT02wSOjpQo9+ij1LoxJYVaHxQUUC8UpZJ6rRQXw3w/Sjv3RCSivjdVoFQqMX78eFlUVNQuqVT6BudcW+WLGhh2UakA51zOGBu8bt26ZRcuXJi4a9cu73oRFTLF05Mm9ZlDryeRkcmoc/7Nm9QgW/vQffdrRps2VTrG09PTMXz48LyMjIzP8vPzf7LSkdkc9eQyXAZjrDFj7BhjLJExlsAYe9fw+LeMsauMsUuMsV2MMS/D480YY8WMsQuG2y8m7zWIMXaOMfaN6T4453qJRPJuTEzMjG7duuUmJydb90PWJgIB5Vo0a0YzlidNAmbPBoYNo9GldsxjbpC9CWfOnOG9evXKvnbt2uiKgsIYc2KMRTPGLhq+s/MNj09jjN1gjHHGmK/J9oMYYwUm39m5Js+NZ4zFMcZmWPgTWox6JyoAtABmc87bA+gN4B3GWAcAhwF05Jx3AnAdwEcmr0nmnHcx3N4yefxtAP0BCBlj7SruqKCgYF1SUtLwfv36ZR49erThrhmcnUlg3n2X/DJ2p2952rWjUauVsHr1avWYMWOSMjIyemq12lNmNikBMIRz3hlAFwAjGGO9AZwGMAxAqpnXnDT5zpo2bhoPoAeA3owxt/v9SLVJvRMVznkm5zzOcF8BIBFACOf8X5P1aySA6iQUCABwAHrAfJGKYexH+IQJE66sWLFC1aCruoVC8slMn07D0+3Q36SS8gitVoupU6cqPv744+NSqTScc55mbjtOFBp+dTDcOOf8POc8pYZHZPyeclTyna1r6p2omMIYawagK4CoCk+9AuCAye/NGWPnGWPHGWP9TR7/HcAZAALOeaUzPTjnWVKptPuiRYsOTJo0qaA2uvTbFG5u1Dz7pZdqlJbeIOnXz2xELT8/H4MGDcrfvn37SolEMryqkDFjTMgYuwBAAuAw57zid7YijxqWSwcYY6Ye4p0AzgE4Z6t5L/W2n4rB9DsOYCHnfKfJ458A6A7gaUOfWkcAbobITjcAfwMI45zL72OfzMfH56OgoKDZW7dubdS+fXsLfRobRq2moV6RkdSIyUBE27YYdO1aHR6YFWjblkbHVshNiYiI4JMnT87Jy8t7R6FQbKvk1WYx+Pp2AZjOOY83PJYCoDvnPMfwuwcAPee8kDH2BIAVnPPWFvhEVqFeWiqMMQcAOwBsrCAokwE8BeBFY69PznkJ5zzXcD8WQDKAao7nKw/nnOfk5CyKj48fNmjQoOSFCxcqrTVitc4Qi8n8nzqVTrIHKWZ0dKSh7C1aUDSlaVPzM6FtAV/fu+YxFRUV4fXXX5c///zz59LS0rrXVFAAgHMuAxABoNLRCZxzuXG5xDnfD8DB1JFr69Q7S4UxxgCsBZDHOZ9h8vgIAEsBDOScS00e9zNsq2OMtQBwEsAjnPMHmkTFGBP7+fktDgwMnLJ169ZG7drd5edtmEilQHQ0IhQKDLp69d7burjQPJ8WLUhM/PzuFiW9nsZ63LhBs5XlNTYgLY+fHzBxYrlo2PHjx/nkyZNzCwoKvpDJZD/WpEG14Tuo4ZzLGGPOAP4F8DXnfK/h+RSUt1QCAWQbLO2eALYDaFpfmmLXR1HpBxKGyyAHKwB8DOB7UAuL4n4kAAAIDUlEQVQywwwIRHLO32KMPQPgC1DUSAfgc875PxY8nnB/f/9t7777buAHH3zgIrTC8G5bICIiAoNatqRcl5wcIDaWnujXj5pcBwSYF5F7odfTlMKzZ4GMOmrZGhJCxZqG7m5FRUWYOXOmfPfu3dclEsmznHNzkZp7whjrBLoQCkGrg62c8y8YY/8H4H0AgSBfy37O+WuMsWmgyKQW1HJvFuf8jEU+nxWod6JiizDGxL6+vl8FBwdP2rp1q0/btm3r+pBqnYiICAwaNKj2dnDlCk0vzLPiaNMOHYAxY0qXZCdOnOCTJk3KLSgo+FImk/1QXyyFusYuKhaEMdbN399/68yZM4PmzJnj3JCtlloXFYAcw7GxNBdaqay9/RjDxoaRr0qlErNmzZLv2rUryWCdpNTezhse9dJRa6twzmMlEkmHpUuX/ta+ffuc/fv36+2i/QAIhTSq9d13aRyrg9le5Q+Gvz/wyitA797Q6XRYs2aNpm3bttK//vrrc4lE0sMuKDXHbqnUEoyxpoGBgSuCg4P7rly50rd3ZYPP6ylWsVQqolCQ1XL+/IMXRYpEQP/+QL9+4AIB9uzZo589e3aeQqHYJpFIPn1QR/7DjF1UahnGWMfAwMCfO3To0OHHH39sMLktdSIqRuRyihTFxtZ8WSQUUrFl//6AtzdOnTqFd955J0cikURkZWXN5Jyn185BPzzYRcVKMMb6BgQE/DJw4MDQ7777zqtx48Z1fUgPRJ2KihGtFrh8mZy6t29XPoIVoLyT1q2pMNDLC5cvX8a0adNyr1+/fjkrK+ttznkV8XE71cUuKlaEMcZEItFTPj4+K5599lmf+fPne/jU06ZKNiEqpnBO+S5GcREI6ObsTLkyhnk9KSkpmDVrVv6ZM2fSsrOz36xGurydmsI5t9+sfAMgdHV1fSUgIOD2q6++Krt+/Tqvbxw7dqyuD6FGREdH89GjR+cGBgZeEwgEI2C4oNpvtfD9rusDeJhvAIQikWh0UFDQ+f79+0sPHz7M9Xo9rw/UB1FRq9V8y5Yt2o4dO0qDgoL+A9DPLia1f7N3fqtDOE2o2w1gN2PskUmTJs11cnIaOHXqVI+XX37Zsb4ujeqatLQ0/Pzzz0Xr1q0r0mq1OyQSyVe8krYEdiyP3adiYzDGvD08PF52cXGZ1q1bN/fZs2f7Dho0CMzGphLamk9Fo9Fgz549+iVLluSmpKRk5+fnf6tSqbbxh6zptC1gFxUbxVA42SMoKOgDgUDQ/4knnnAYP368V//+/eFQG0lgNcQWRKWoqAhHjhzBpk2bck+cOKHlnO/Ozs5eyjlv4D0ZbBu7qNQDDD1hBgYHB0/S6XRDwsPDHV566SWfkSNHMm9v7zo5proSlYyMDOzZs0e7YcOG/OTkZKVer98rkUg2AojmDXTgeX3DLir1DIMF08nHx+d5sVj8XGBgoOeLL77oMWbMGMeWLVta7TisJSqcc1y6dAk7duxQbt26tUihUGQWFhZulMvlOzjnDagjecPBLir1HMZYsIuLyxhvb+9JIpGoRXh4OBs4cKBnjx49HLp06QIXQwm/paktUcnPz8f58+cRFRWlOn78uCI+Pp4DuJSVlbVGp9Md4JznW3yndiyKXVQaEIwxMYAwsVjcw9/ff6hOpwt3dHT07NKlC/r37+/Vs2dPhy5dusDN7cGbsFtCVPLy8hAXF2cUEHliYiLT6XQ5jLGozMzMo5w69V23L2vqF3ZRaeAYWm+GiUSi7gEBAcP0en03sVjs2bRpU960aVNh06ZNnZo0aeISHBzMgoODERQUBD8/P1TVtqEqUdFoNMjOzkZGRgYyMzORkZGhT01NLUpNTS1JS0vTp6WlQafT5QCIysrKMhWQhjsK5SHBLioPIQahCQYQBCBILBaHeHt7txaLxc045yFardZXKBQ6Ojk5Cf38/PTOzs5wcHBgDg4Oxp+ssLDQTSwWKzQaDddqtdBoNLywsJBJpVKm0Wi0Op1OJRKJJIyxdJVKlZKbm5uk1+szAGQab3YBaZjYRcVOpRjExxfUptMBNCZXZLivB7U7NL0VA8ixL1cebuyiYseOHYti7/xmx44di2IXFTt27FgUu6jYsWPHothFxY4dOxbFLip27NixKHZRsWPHjkWxi4odO3Ysil1U7NixY1HsomKnFMZYY8bYMcZYImMsgTH2ruHxvxhjFwy3FMbYBZPXfMQYu8EYu8YYG27y+HjGWBxjbEZdfBY7dYe9R60dU7QAZnPO4xhj7gBiGWOHOefPGzdgjC0BUGC43wHAeABhoFqiI4yxNoY0/fEAegDYyBhz45wXWvvD2Kkb7JaKnVI455mc8zjDfQWARAAhxucNDaLGAdhseGg0gC2c8xLO+S0ANwD0NG5ufFuT+3YeAuyiYscsjLFmALoCMB221R9ANuc8yfB7CIDbJs+no0yEdgI4B+CcQaDsPCTYlz927oIx5gZgB4AZnHO5yVMTUGalAOYtEA4AnPO1ANbW2kHasVnsomKnHIZ2BzsAbOSc7zR5XATgaQDdTDZPB2A6FDoUQIY1jtOO7WJf/tgpxeAzWQ0gkXO+tMLTwwBc5Zynmzy2B8B4xpgjY6w5gNYAoq1ztHZsFbulYseUvgAmArhsEjb+mHO+HxTNMV36gHOewBjbCuAKKHL0jr1Bkx17kyY7duxYFPvyx44dOxbFLip27NixKHZRsWPHjkWxi4odO3Ysil1U7NixY1HsomLHjh2LYhcVO3bsWJT/B43QA5Fwm/lVAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "color_map = {'stage': {\"g0/g1\": \"red\", \"s\": \"green\", \"g2/m\": \"blue\"},\n", " 'subcluster': {\"intact\": \"cyan\", \"perturbed\": \"violet\"}}\n", "cyclum.illustration.plot_round_distr_color(pseudotime, label['stage'], color_map['stage'])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Subclone analysis\n", "Many analysis are done in R, so we also choose R to do this job. \n", "On the jupyter/python side, package rpy2 is needed to run R inline.\n", "On the R side, packages Rtsne and matrixStats are required.\n", "It takes some time to transfer data from python to R.\n", "\n", "The data corrected by cyclum shows better separation of two subclones in the tsne plot." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "sttpm2 = sttpm - np.concatenate([np.cos(pseudotime + i * 2 * np.pi / 3) for i in range(3)], axis=1) @ rotation" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "%load_ext rpy2.ipython" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "%%R\n", "library(Rtsne)\n", "library(matrixStats)\n", "library(mclust)\n", "\n", "calc_class_score_cv <- function(x, cls){\n", " cv = cvMclustDA(MclustDA(x, cls, G=1, verbose = F), verbose = F)\n", " return(1 - cv$error)\n", "}" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/shaoheng/.conda/envs/tensorflow-gpu/lib/python3.6/site-packages/rpy2/robjects/pandas2ri.py:190: FutureWarning: from_items is deprecated. Please use DataFrame.from_dict(dict(items), ...) instead. DataFrame.from_dict(OrderedDict(items)) may be used to preserve the key order.\n", " res = PandasDataFrame.from_items(items)\n" ] }, { "data": { "text/plain": [ "[1] 279 38293\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%R -i label\n", "%R -i sttpm sttpm = as.matrix(sttpm)\n", "%R -i sttpm2 sttpm2 = as.matrix(sttpm2)\n", "%R print(dim(sttpm))" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R \n", "\n", "set.seed(2019)\n", "\n", "nonzero_mask <- colSds(sttpm) > 1e-3\n", "original_tsne <- Rtsne(sttpm[, nonzero_mask], pca_scale = TRUE, theta=0.1)\n", "plot(original_tsne$Y, col=as.factor(label$subcluster), pch=19)\n", "title(paste('original data separation rate:', calc_class_score_cv(original_tsne$Y, label$subcluster)))" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R \n", "\n", "nonzero_mask <- colSds(sttpm2) > 1e-3\n", "corrected_tsne <- Rtsne(sttpm2[, nonzero_mask], pca_scale = TRUE, theta=0.1)\n", "plot(corrected_tsne$Y, col=as.factor(label$subcluster), pch=19)\n", "title(paste('corrected data separation rate:', calc_class_score_cv(corrected_tsne$Y, label$subcluster)))" ] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 1 }