{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] } ], "source": [ "from __future__ import print_function\n", "import keras\n", "from keras.models import Sequential, Model, load_model\n", "from keras import backend as K\n", "\n", "import tensorflow as tf\n", "\n", "import os\n", "import pandas as pd\n", "\n", "import numpy as np\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib.cm as cm\n", "\n", "import aparent.visualization as vis\n", "\n", "from aparent.predictor import *\n", "\n", "import urllib\n", "import urllib.request\n", "import pickle\n", "from time import sleep\n", "\n", "from scipy.stats import ttest_ind\n", "from scipy.stats import pearsonr, spearmanr\n", "\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.metrics import roc_curve, roc_auc_score, precision_recall_curve, average_precision_score\n", "\n", "from scipy.optimize import minimize\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "s.shape = (7740, 10)\n", "m.shape = (7740, 10)\n", "ids.shape = (7740, 10)\n", "l.shape = (7740, 10)\n", "c.shape = (7740, 10, 28)\n", "y.shape = (7740, 10, 28)\n", "intron_mask.shape = (7740, 10)\n" ] } ], "source": [ "\n", "df = pd.read_csv('../../../aparent/data/polyadb_features_pas_3_perturb.csv', sep='\\t')\n", "\n", "save_dict = np.load(\"../../../aparent/data/polyadb_features_pas_3_perturb_no_x.npz\", allow_pickle=True)\n", "m, ids, l, c, y = save_dict['m'], save_dict['ids'], save_dict['l'], save_dict['c'], save_dict['y']\n", "\n", "s = np.load('../predictions/apa_perturb_data/aparent_all_libs_resnet_no_clinvar_wt_ep_5_native_scores.npy')\n", "\n", "#Mark intronic sites\n", "intron_mask = np.zeros(m.shape)\n", "for k in range(m.shape[1]) :\n", " intron_mask[:, k] = np.array((df['pas_exists_' + str(k)] & df['site_type_' + str(k)].isin(['Intron', 'Internal_exon'])).astype(int).values, dtype=np.int32)\n", "\n", "print(\"s.shape = \" + str(s.shape))\n", "print(\"m.shape = \" + str(m.shape))\n", "print(\"ids.shape = \" + str(ids.shape))\n", "print(\"l.shape = \" + str(l.shape))\n", "print(\"c.shape = \" + str(c.shape))\n", "print(\"y.shape = \" + str(y.shape))\n", "print(\"intron_mask.shape = \" + str(intron_mask.shape))\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "s.shape = (6644, 10)\n", "m.shape = (6644, 10)\n", "l.shape = (6644, 10)\n", "c_1.shape = (6644, 10)\n", "y_1.shape = (6644, 10)\n", "c_2.shape = (6644, 10)\n", "y_2.shape = (6644, 10)\n", "intron_mask.shape = (6644, 10)\n" ] } ], "source": [ "#Define tissue-/cell- types\n", "\n", "cell_types = np.array([\n", " 'rpm',\n", " 'NT',\n", " 'CDC73',\n", " 'CPSF1',\n", " 'CPSF2',\n", " 'CPSF3',\n", " 'CPSF3L',\n", " 'CPSF4',\n", " 'CPSF6',\n", " 'CSTF1',\n", " 'CSTF3',\n", " 'CTR9',\n", " 'FIP1L1',\n", " 'LEO1',\n", " 'NUDT21',\n", " 'PABPC1',\n", " 'PABPN1',\n", " 'PAF1',\n", " 'PAPOLA',\n", " 'PCF11',\n", " 'RBBP6',\n", " 'RPRD1A',\n", " 'RPRD1B',\n", " 'SCAF8',\n", " 'SF3A1',\n", " 'SRSF3',\n", " 'SYMPK',\n", " 'THOC5'\n", "], dtype=np.object)\n", "\n", "cell_type_dict = {\n", " cell_type : cell_type_i for cell_type_i, cell_type in enumerate(cell_types)\n", "}\n", "\n", "#Slice celltypes (and apply filters)\n", "\n", "'''\n", "CDC73\n", "CTR9\n", "LEO1\n", "PAF1\n", "'''\n", "\n", "cell_type_1 = 'NT'\n", "cell_type_2 = 'PAF1'#'PAF1'\n", "\n", "min_c_1 = 10.\n", "min_c_2 = 10.\n", "\n", "min_total_l = 300\n", "max_total_l = 1e6\n", "\n", "min_l = np.min(l + (l == 0.) * 1e6, axis=-1)\n", "max_l = np.max(l, axis=-1)\n", "\n", "c_1 = c[:, :, cell_type_dict[cell_type_1]]\n", "y_1 = y[:, :, cell_type_dict[cell_type_1]]\n", "\n", "c_2 = c[:, :, cell_type_dict[cell_type_2]]\n", "y_2 = y[:, :, cell_type_dict[cell_type_2]]\n", "\n", "keep_index = np.nonzero((intron_mask[:, 0] <= 1.) & ((((min_l >= min_total_l) & (max_l <= max_total_l)) & ((np.sum(c_1, axis=-1) >= min_c_1) & (np.sum(c_2, axis=-1) >= min_c_2))) & (((y_1[:, 0] > 0.) & (y_1[:, 0] < 1.)) & ((y_2[:, 0] > 0.) & (y_2[:, 0] < 1.)))))[0]\n", "\n", "s = s[keep_index, :]\n", "m = m[keep_index, :]\n", "l = l[keep_index, :]\n", "c_1 = c_1[keep_index, :]\n", "y_1 = y_1[keep_index, :]\n", "c_2 = c_2[keep_index, :]\n", "y_2 = y_2[keep_index, :]\n", "intron_mask = intron_mask[keep_index, :]\n", "\n", "print(\"s.shape = \" + str(s.shape))\n", "print(\"m.shape = \" + str(m.shape))\n", "print(\"l.shape = \" + str(l.shape))\n", "print(\"c_1.shape = \" + str(c_1.shape))\n", "print(\"y_1.shape = \" + str(y_1.shape))\n", "print(\"c_2.shape = \" + str(c_2.shape))\n", "print(\"y_2.shape = \" + str(y_2.shape))\n", "print(\"intron_mask.shape = \" + str(intron_mask.shape))\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "\n", "l_prox_cumulative = np.log(np.cumsum(l[:, ::-1], axis=1) * m[:, ::-1] + 1.)[:, ::-1]\n", "l_cumulative = np.log(np.cumsum(l, axis=1) * m + 1.)\n", "l = np.log(l * m + 1.)\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "\n", "prox_index = np.array([np.nonzero(m[i, :])[0][0] for i in range(m.shape[0])])\n", "dist_index = np.array([np.nonzero(m[i, :])[0][-1] for i in range(m.shape[0])])\n", "\n", "prox_mask = np.zeros(m.shape)\n", "for i in range(m.shape[0]) :\n", " prox_mask[i, prox_index[i]] = 1.\n", "\n", "dist_mask = np.zeros(m.shape)\n", "for i in range(m.shape[0]) :\n", " dist_mask[i, dist_index[i]] = 1.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "\n", "y_1_prox = []\n", "y_2_prox = []\n", "for i in range(s.shape[0]) :\n", " y_1_prox.append(y_1[i, prox_index[i]])\n", " y_2_prox.append(y_2[i, prox_index[i]])\n", "\n", "y_1_prox = np.array(y_1_prox)\n", "y_2_prox = np.array(y_2_prox)\n", "\n", "logodds_1_prox = np.log(y_1_prox / (1. - y_1_prox))\n", "logodds_2_prox = np.log(y_2_prox / (1. - y_2_prox))\n", "\n", "lor_prox = logodds_2_prox - logodds_1_prox\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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kArZ3aa37pqH/NjbTxrPPws9+BrkcrFkDH/kIOMfPpYxYbhYvhj17RNyEw7B0KWzZApnMeSxddwMNT6+nx+vjwPUfZ39XkKYmmaIlmYBKX47l9Vli8YeJxW9FJm0G01zEokWPEwhUMDqJ9OsCe5yxsTlJrBT0/R8kDoJyQvlN4J8wlB6ZmtQDdIh9t6dE5pHRz0NwCRSloXc/dNVDRQbWL4YhP7hSUDwMKgclPTme++H7Gdw4OrfsunM/zR3V/4Ceeg/Vm6eSsR38Z/N6YXAQ/vZvJZ7G5YLDh+FP/gQuvXTi5dNpePllWL9e7pS83lExNDAA56yyGBpWPPQwtLZoUmkwDY0vMcAVsw7zzP4dvND6CSwtt3Bu9zxuueUpLrywlpYWiMcV3/mOellrvWaaTsHrFnucsXk9Mfw8DD0KrlrJdMpFoP5TYHonWaEdYhvgrnJoSkImAjU9sKAdBmvhYDU4R6CiCZ5/CxhZcGXAkYElO3L86rEPsnXvPUc2d/GaT/IF/7cojiv6S+Ftj07tOHM2Bhnb2LypiUREqLjzdXVdLhgayjd2d8OhQ2RyioHgXMyaSvxFipoaEUbLl8OhQ+LeWrgQyspgaMRg2ysanc3g8TiorganlabjsIvH2nvZNkbclJTM5m//9gnOOaeW3buhpgb27Tsz58HGxub0kh0Cwy2uJeWB7DBYCbAcsHU3dPdC0IDV1VBcBcoHT7wdWraBMw7ZLHSXgS8DAxpKw1C7HR68BqL5LCtXEvwRzX2PfpStjaPi5qaav+DTmW/h61N4EiKCphpb4NjYnGVUV2mqQila94O7yIllmSxfjiifPXtI4KZxWwJHajNPxtYQqA/hKvbicICRj6orciYJxAYJZZLEut0kYtVcd43m7ns08bhiZNBkOOXn3FVzONhZzvBIB2VlDXz2s08we3YDhiHur5ERRSh0Rk+HjY3NacIzB4aegmwSDBPcteAIwrZGaOkAXze0b4doL7x1I7jOh+rl4LsQ0gYYGTDjEE+AU8GO2fDCzdBZBRWDUBSBmk5wpxSOwCo25fd7bf1H+CfPf+CIKFIecXlV9k/98dkCx8bmbEJr3M37+H9r23jk5QrCOR+X3T6TOXPc0BMHoKM5SzKcJlikCLkTdLR4WbLGgcvlZGAAQkFNBcM4cyki2kfSWcSSmVHq6jxc+haLxzaYWJhcfkmGc1bPoyS0nkef+BB/+cmfMWPGLEpLxWKkNfT0iBXHxsbmjUUmCl3PQ8INVi8UL4bKPwZlQv8A+JyQ3iIupogbsjnQLTDHBTNqYX8lqBSEhkFZMFQB2oKUA7rqIDQCZQOQdsOsJli07GM4lJMDw5t5z3nfJ/OKIRF/WrLOs+4TdPhVYAscG5vporNTooF9Pli9WoJlxpNIQFMToZoAt/5RHEa6JLCvxQ29vRCJYAzmcKPQloNkykBrjc+VYeFCJ7t2QS6VpaYmQxoTh8uAVIZia4S9++q49FKNx6fp7dHMKE3h8XupqZnNn9/+ED5vkH374PnnxXoTDsO2bfCZz0z7mbKxsXm1ZIFngTZgMbAGURDjGN4JqSHwLwQ9HxJ9kOiEka1gDEO3GzxpiPugvgUyBhgJKPPB1e1ghaA5De4M+KJwYB6UD0B3FZQMirhZsBe8KTBykHbBZQs/yqLKj5AMK7Yvh4oByLigshtSlwD/NrWnwhY4NjbTQVcX/Pd/iw8pm4UDB+B97zu67DCM5oQXUpeUkuI2SpHQbpJJNz53mO6RIrb2NNBrhijxJjnYVkw8KXE4ToeDnNtLsStFrLMPT8ZgxfDTNObm8eMNHrpHcrjcl/Ji2M+11yqKvFBSUUQ8bdLXp2lqkm65XIp168Djmd5TZWNj8xq4FynG5wfWAx8Crjh2MZ0DVSgUo0BnoOvXoFxQPwy9YYgVQVU3rNgDRgwsJ2QehfIQvOch+PlbIOUERwoW7IdAGNZtgGcu1nh/8F+s4xYMr5+D82CwXMTSSEiR8EF9RkSRqWH/YgisnvpTYQscm7MTrSVX+oUXJFL2ne+E0tJjl0un5dnlOrbtLEFr6N/ZRV/gApx+Bw1WK56eVlEjFUdPu9Id9rGtYzmqMczquj6qSh0wMEB8/XOMtEfQy5aRrpvDQc8S5rsOU50cZqhkAVaRSTQu7qTlyxVFniB7tkRpaXLhSMaIpGaR6trAH3Z+j6xOM2v27/F61/HUM4p580x8XTB/Prjd6kj2Vi4n2mr58jN04mxspoFsHLpfgOQABOdB+eoxF/4CFlLf2sdZfdVMp+DARgg3QKUBs31gPMMxAsfKwbABbRFwhqHcC4Fq0C+B2g/tJlABhh/KFbRcDJEYLFJQ3gKJYUiVwtJWaKwSgZJ2AgrmHALf577M11Jf5HHv3fwy8BAlZQEiRZKK7kpB3A/Ns8V6k3NAURLqclN/Ps7ir8rmTc2WLXDXXSJqDhyA5mb40pfAkf/Jag07d8KuXWLlWLIEVqzgbCzaMjwMB9MzcKnDRAkSxc8K1YE5zjQyPAwPPaxwOuvQnhJe3NzHVeYzeF9+ASvrImgqjA37iNxwK/PcRWztqGdfZ4BYZwWBYigpgfJyeRw+7KSt2WKe2Uzc6WBvex+/2P0DUjmpAtjSfDtz5h5ieNhDb68UB1y2DIJBTSQMlqXwejXNzYpNm86+c2pjMxVoDS0PQqwdHH7o3CDipnysNWEYcZ20IBN2fBKYdQY6exJs3wy9PnEt7XUBSZg769jlWnZBywHwLpAA4h4DzH7wvQy9LgkYbmiDn3wYOrvgiavBF4ZyJ6xbD9f/HAYUWGnQBgSHwZuQYOHvRf6Zh1NSUurlxLN8x/gqt8X+mUgQ/FHxltV0Qn+FuK6iReDJQHHT1J+Ps3GqBhuQ2+cDB2DrVnFvvNnYuVPK84ZC0NAg52BkzPyH/f2yTCgEwaAInb6zsw7b8DCYZSW4in14Y/2k04r05VfLhFFjGBgAnUoTCHdQ17aJRc/fRW5/E7S340gnMP1e0JrUgJQPfWJfHc3xSmJxg5YWySAfHJQaOC6XRvv9KKUYHGjklzv+inhGcs1dho9FdT8jGnUTDstpq6vTRCIikkJBC79Pk07BksWaVPLNUSvrzUo0DrsOwp7DkEie6d5ML1ZGxI2nApx+cAYgfHjcQv+HxLPMRK7g/0lhJpOzCsuCvi4oPhfcWfBGocePlKwcR18beHPgjQApGOwF3QqJIsmOygFZA7SClxZLqndNLzgOwTMLpFJxjwuGvDASlPgaXxw2P/ctHt44GrR3heMaPuX9Iu4U1HaCPw41XeBJidgZKJN99JfCtsqpPye2BedsZdMm2L9frlY7dsAVV8DMmWe6V9NHXR089ZS4cKJRCQQpGjN9bTIp8SyFvGjDkM/OMOm0xAl7vaNeM68X0jmTdP1SVFUKp8fEuXq0LHE8LhngKpsiMHCY7MED+JueIRdOoFbNxDrkwWg6BE4TnUzgzMRZv6eO4ZiLTE4RDovGM03JfjpwAGbNgqYaF1v2+Pjt858ikR4EwK3cvHPGl9DLL2Bfhyy/ZLFm1Srw+TT9XTmykQTxnB+HS1FVpY87VYTN65t4EtZvglS+TP/hNrjqInBPUDX7jYjhAGeRZBQ5iyATg9CicQt1Mzr1aggROxYyVcEZQmuIJiFrQdArw59S4A9APAqetZCMQ+ViIC8cMhnYtRV6OyG5H7wHwKHE8+atBlUFag/0lULMD+4UDPqhvF+MWHHExWT6wLoAYv1guaC6F7Yvhy2bvsMTG//mSB8vcq/j6zN/x8Nv8TCvSVxTPdUyX5XSkHWCLwlFMUgVQetpmBHGFjhnI9ksHDwovgalIBYTsfNmEjjr1kFLiwi94mL4xCdGK9+BuK4cDrHqKCWvJ4rROV2kUnDvvfDSSzBjBnzoQww7ynn2Wfn6TBPe8hbpUjAIjY3Q2akwDA9XXDHqaUunR4v4OawMq6+pom1WgKHfdrGofQN+Rw3xujk4unrRqRR69bkMBGeT7ofz6zo4HKlgOO7C5zNJJiGV0mzdCttfgUiklfsevo5ESiyATsPNB5d9EWv2+3DWB5jn1ezfr3llu6KnO0t5hSI3EmfF3Bg5l5+iAJgGJG0LzhuW3kFIpqA0KO+HwjA4DDUVx1/vjYIyYNbbofkBSPZB8RyounDcQhciM5dlgDCwlmkVN+lOGLwPcmEoOg8Cl8O2VtjeKu6e2hJ461JwmLBgBrzycwinwRuEWdeNbqdxJ7QfBKMZUk2QTYPLDW4TggOQXAfJTdDQBQfmwwM3idVm/kGZ/btxPpg5KPHLrODJMOQs8Ich/Msf8sSLnziyr/lVl3L9ux/grsVegsMwqx0cOWhoEYuNNwl7FkF3LQx4wVBSh2eqsQVOAa3FUtLYCNXVcnUan+EyXRiGWG5iMXHNRCKwcuWJ12tvF0Hg9Upd/3EukNcVLhd89KNw553yPYyPrfH74cor5fsCWLToaAsPjM5EmcnIOfH5jrvLVEpOuWHIqTvu1//AA7BhA9TXixj9znfYdvmXABE0iYR4F6+8UrRpKiVdzOXEs7ZypXQ3l0hD3wgqHsXhcuFOZVg1L03g8hyuHg90daGCQTpv/jN8F67EH+nB0Z0iazjxWxGqrBw67eFc/xC/3rWI+fMVTU2avXvb6epaRyrVCoBheLjm+gfpda0jmYSFLtHLsaiit0/T2w3ZWILzyloZzMzCE1D4vRZloRyz5p69AdyvR6wkJDaDFQXPMnDOOHN9cZpA3howlJAg1RMFLmgLhvZDohd81RCaf1aGvp003ipY9GHJKjImuiK+FXABO4EG4NoJlukCNgJO4FIgOPn+dA5ym0F3gpoH5nFCB60U9P1cLk+GF0aegIgfdqSg1CfrtQ1Acz/MrYSB56FhAZgeSA9D34sQeLtsq7sNoq1gRMGvIOmFud0QmgF7FMQiEF8F6W4IpeD2e+FwAyRCUNMu/dZKLC7Pe8BVA8u3wmPtP+We/X96pM+rPGv5ypwH2eH1M38/VPbC/gVSF6eqV34/OQVzWqFpPjQugLI4XJuFH57w2zo1bIFTYNMm+N735EKYSIj14P3vPzN9MQy48EL47nelGIlhQFub1E6ZMclo2NkJX/6ymA+yWTmez3/+rM4uOikcx/mJlpTA2rUTt2ktwSWxmIwCIyNQVTU67fY40mmJYdFaHvF8RtKkA/eBA5Ld5XLJgi0tpBI5nE5RRU7nqMcsmeRIlWGlZPvpNGBZOB5/BLwzUJFh3Pu243Z5cc6dQbw3yvfrvs6+4jXMmuekKnqAbb9IUukq5po1A9QGwjy9t4YcBi4zRbgtjNfM0NPtpLevm97eK0mlJGrPMFxcfPF9VFRcQU+PprxcU1enGBqChQss6usVhw47cThMwvVLqaxSVJTmuOSiHMvPcaGM1/HV6yxD52DkbkgfApwQfxZK/+zMiZyaCgiVwub9gAJPMWzuhreVyl31RHRvlgJxphtyL0HDFVBxGlJ8pxOlYMI550EE32X5x0T0AV8Gkojr6nlk2tZJ5nPK3g/ZR0B7gEfBeQc4L5542VwUrDg488U2lRcSXUDp0d75VAbQUpHYUyLHY7ogk5BlIsMw2AnDUUnpjrogGIVEHJIO2Pg+SJbAmgsg9GXQvXJ/eG4vPFkGvfVgGRJnExyGg/PhjzbDxsO/4FvNHz7S38X+8/i3mX+gOBIgtV/SwhNeGCmBthnQ1S+uqpQbInUQuQKKZ8JnDVhaBHdMcopfLbbAKfDkk3LBCoXkm33qKbjttjNnxXE6JTq1rm5U4GzbNrnA2blTzASzZsn7lhax6MyZMy3dtaxRY1MwKEawo8RBMgmPPy7ZUJWVcM01suDp7FAsJgJEKbHiRKOTCpxYTIRHQQ+mUrLKpPpw0SLYu1fcZgMDMHs2c+ebbN8uYiaTGU2vnpNpZPt+GHB7yVbVUleZIZSOQncW575dlBZ3o7duh2QS0+NE9TdxX/AOtvkXUF9jsGUr7Nu3kNryNE2xKI0vJLh5bSeLynoxdY7Wfi97I/UY5AiHnVjW/xGPHwDAMJxcf/1vmDfvavr7NeXl4PMqOtrhynVZ1j9ucPCQIpcDt9ugtw9WrYbzz3ewbIXj2HRZm9dEbgjSzWDWy88y2w3J7Wc8gx3cAAAgAElEQVRO4BgGBCqhMgtBDzic0BWBSEreT0TfNvCWg+GUC2rf9ukVOKkw9O6QAOGKZeAb504b6IeXt8p/eO4cWLx4grTvqWQvEANm59+3IhlX42N5kDEm+yTQINYiHYHcU5MLHDMARhFkB8HwgU5A5Qwo0dAXERHqNKG+FMhAqYLeTWBWQMoL2XqINoI3BkGHuIliQ5B2QNqEF1bBvjugshiKFLQ/CnOKJdi4shE8cQikobgZBkog7oWhUino5x7K8vO+b6LzEdfzilbz8WsfRXcFSaWgdABKhqC9DmIzwRqCjnrw5wv/BaLgXwa3qdFTN9XYAqdAKARNTfIcj8uF0DiDo7tXMmawLOlHJnOsC2Ysfr/4P7QefZ6oUu5porlZNJXTKUJnrNYCpDxuIa6orw8eeQRuueX0dUipUXNJ4fk4YtU0R603hdWP+/XfeOOoH2rJErjjDuaFNH6PxeCIQSikqKsDduyg4sff4h2eOg73VOEpX8KiVXMwEgZEo2S7ezH2NWO2NWG4negFi1Auk8iBbiqrF+JwiGAaGFAsXuzGYbro7UjSkbUwVYxXDhUxknJjGS4aO90sXgoVFZ8glRrh4MEvc8kl/8ucOTfmQ5UUpaUalwsScc2vf2ugLYXPJ0LOMOTntmqVPGymHlUII8uAdoLOygXsTOJ1AyY4XRJTofIXzclw+kXYuJyQS4nYmS6yCdj3G8jEAQMGGmHJrWK1AHGxbdwo/xmfFxr3ibu54XQKSC9iudH5Z4tJrTdKgQqAjiOBywlQtZNv2nBBxR0w9IDE4ISulYJ4bx2BQz1guWFOFRR7Ift9qNgOLgOGD8P+taAdYLWD6oDSTZI+nrHAVJCbA2EfdKVglinxPMUHoK0EKv0iZMx2cNVBZgCSbsmsstwyPYNhOvj6yvX87Y6rQFt86q3r8btK6KuSmjg1PSKsKvpgJAdd88Cbhm4HLD0AJTn4s9NsHLYFToF3vUsETmurXKU//vEz61guLxcB8KtfyVV32TK4eBKZD3D++eKW2r1b3r/jHa9uEqGREZmAqKxMHidJV5doLNOU09fdPU7g9PRIsLBpiojs6RkVH6+B/n4xVAUCYqw6sjnDkAysQuq4w8HxZo0sKhIrTiol3SrEMPf0iOGntvZovZg1XOxdcRs9VbcRCMAKVw5vJExtQFNbrGSDyoTNm8Hno7zKRbkahrJOBqOzeWFzEUMHU1wyEsAxnKQ8o8FQON0uSKeYMd/N07vTVFcrolEnxQG48HyL2hqLgwddlMxtYGdnnJ6MQmPRO+QikVAkEnKaa2o+T13du7nqqsW88oq4xIqKwOtVDA1p+vogEjGIx6Visc8nxx0IyLEnEiJ6zpQB842KGZCYiMj9gAbXTPCOD2qdZpZWQcsg9MXk/SWzZR6iyZhxFRy6HxL94PBA/QRVck+E1tCThoyGahc4T/JeMt4vmU7evNUm3gvRrlGBk0jK/V3hXtBhQjhy6v07BgvYg6QczQXGWo1WA+cDW/PvbwCOI6icH4T098R6owLgfBekEcOPCwnzGTsqZgzoK4aUCRUOSD4PAy/IssWLoPhGIAm5HWDMEivOSAxSaagbhFQ79DVJOQADyWByZsVtZPRDpht2RKG2CpyVUHkAfO3giED3ElhwLWx8KC9+c+BMQ7wIBmqgqrOCb6zaQG9Jlg3vKePAQrjpPpjVLAHJpgUjIajpAMOCpF+OYyQI3jL4dhTmmXCNB9yn4XJrC5wClZXwla/IFTMYPL61ZLq49lq44AJx71RWHv9q43LBX/+1zFfkcr26jKLDh+Eb35CroWGIyFux4qRWdbulm16vrH5MfPOMGVK8TynxYzU0vGZx09YGP/qRGLcsSwJ6r7pKwpYSCXA4iiip82KS46iptifAMMStls2OJmU99RTcf7+8D4XgYx8bPa2HD8v+AwHRhL3NcWbUgzJN6Uw8frRayAf2DMcc/Os95RxodhDK+ahxVtCbXciymjpmDm9Hh5NY55zL6utXoLZrHnvU4oaroe7DJk7TYmgQrrjcIpnSDKX8DCYh5O+ntjTN4HCQvu4cpSUO5s0zCAQW09SUTx/1y08oFpMZwoeHFZY1GnKWy8nPZu1aOa5YDGbPlr/BmTRkvhHxrQX3UtBJMEuPE/sxTXgc8PalEE6BywT/CcL2/DWw5IOSWu0qklicU0FreGwQNo3IhbzaBbfXgPckxLTDkzds50YNs44xrjSfTzKDolG50crmpiC5UiPTHzyKZE95gM9CxgtDD0N2BIpWQ+BdkkZNGRPO/VTAnA+er4AeAVUKSQ98A2jK7+pK4Lb8JnIZ2PegHKfTC+3PgmdIArsxILwbihdCYL7E5xADisAZg6I+KHoZUlmoGYKMD8I1EBiGaE7q//SXwbxBSBoigt5yETg3gxGWejiB3cDPYUkWmoMQGRog4y1DKWiZIfVwOqtL2bUUumrBmYGNF8HazVAUha4ayZQKhiFnQNNCyLkhNQO2LZcCf7uzkABuOQ0OB1vgjMXtlpiXs4mSkpNftnCVfrXce6+IqIYGESF33w3f/vZJrbpokSShRaNyGhcsGLfABRfIhb+lBRYuhEsuOXYjhekZNm6Uq/E73nHcOJ1nnpFDrquTC/STT8I55xTEjTxb4QQVLVtQBVG1YsWkQlEpGRRB9MkDD0hcstMpMdzPPAM33STt4QM9BA+24aytwKybiZWz0ChULAbbt4tCGBqCm2+WTK+DB8Hh4FDxasJRk8pgmkyumGfbl3FRyV5GzDI6r7mD0hsuwhPy4jRMVp+ruHB1gpxy4vQr9uy2qI41U9LRT8pdTFGmjgULTLZsuRGXs4qysl9SFjBpPpTjwEEDy5K+Fwx5BaOWUiLkQL6SdFqmaVi9WmKnR0ak/bzzpPySzdRjFjNaW+UswDSg5BQuMA63PF4NAxkRN1UuiSHpTMLOKJx/EiF53nKouxA6XpT35UshOKZ6htMphu6dOyGVhHNWTzwkZuLQsxFSgxBaCKXLj3O/FQEeR6oXG0AH6MdkriYrCsoHQ3+AQzfCziIwu+GSBphxnONRfnkAbAEOIIYhK7+ry4F6IB2FbAd4vCKeHA5xCyoTifPZDrkmUB8Fx0cg+wOJdaltgMgI9Lkg5oGABf7hfEmAHAzMhfQyCKbAaUF2D1RHIBQHdxDCFrj6ITAEQ0mI1oF+5HG+uutm/nz1Tyhb9x4yCoaLpchf2UB+yoWIzAr+078DfyeYEZh3GMwslAzDbj+oOdBcBlGnzEOlNLyQsQWOzekmmRyNqnW5jq4cfAKKiiTxK50ejec4CqdTUtePx8aN8OMfyy3Xvn3iLvz85yc1IRjGaMyMZclzOi36xTDA5dS4X3gWbURRPt9oUPCSJSc8nmz26LAd0xTBBND7TCPG57+JT1sY5Ei+605SN5yP0gkZWbWWwONnnxWB9jd/I2Ylnw/3YR/myxbhEc1A1ODFyGX0BBewemaaCy+tw1XpwsilyGYt0hkTLEXPiIPuPoV7oJeS4Tas6nJieztZ0vcKfzj0I/r7ZbSfNePdONT/8NYrvRQFZTAsZIQZhsSsR6NyDLW1osHCYfma02lpDwRGw7m2bbMFjs3Uk9VinSjoCaXEVXUyKAU150H5Mkk3dvqOFSbFxcf35msNLQ9AvEuK1rU9BhhQtmySFQrDj5V/rSXAOTcMzrx46snCk51QMR/SFjx0AP54OQRPQgSOzcwvnJdMvp/9PwSeFguHEYDc+eCvhORB4BUJPPb5gO9B6jMQ+2vwG+CthfqfyDQMB7zg65Qkr8OLoKEfii6QLKveLggnIemCmqC4tcxdMjdUzoSoH4Z90L7rab6w649IWQm+/fJ7+bRl4rrhnXTVQvEIZNwwVAbRcugrgZoMqBhEgnJwwREwshAalIk6X6kGp4aAAT0WWKep1JYtcGxGuf56+MEPpN6/ZcGtE9T4Pg6G8Rpnnt6+XUankhJ5tLSMpmVNwBVXiA7q7JTu3nijXJwLmfVWMoMzHkbVlsio4fOd9HQOgQCcey68+KKIG4cDLrpI2vZ/7bdo7cMoL0UnkhQ/eC+hD76FroEc5TsacXlNcRVWVso+Y7EjUcwL5mtuuNFgYAAiEY2Ry3LBigCzZoHbmyaqnaQsF8MRzdCQ5okNRQyPGAwOam4/Z4RcaRkdjQk2/28zP2n/Dt39u4/0+fxFa5ldOUyo2mRfq4PqGkVtrRiPEgk5jb29o6b9ZFLOl8MBhw5JYHEsH4eRyUjXbfeUzVRT7oJZXjgUl7+l1wGLJ05unBTna7jbzyUh1iXTMyglQily6DgCpwh4G3A/4qIqAnUdGPeKe8r0SxCt6RN3H0A8AyPJkxM4q4EHGHVRLULicJKNEH0eAlUQT0iQcQlQ/AFIPAT+/RCaK/dsfTHY+hhQJse05jLY+U74YRukk+Km8nug3Af9RbA0CTRDrBSaYmKBiXRD/2GoTUnsTE5BVwVsSj/Pd7feQMqSO7xqo5bLRlbzhF/cTnEfvLRG3FBlg3BwBriiUJwFX0Yyr4rDkHVB3AVFbpjtgK4chDV4FLz1VVoDT4QtcGxGWbtWAotbWsSuu2yyf/xporZWrDjl5UcsHscrzlddDZ/8pAicQEBq7lmWWF8SCXB6nLgrAqhIfluJxAS+s4lRCt77XjkFkQjMnSvdA4jHNcVOCMeAJGQTmsfuUSjlI7R7NbcavyJQ4ZF91tcfETe5eIrOsJu6OgcNDRIA6TIUNaUGpqkglyPgStM86GFgCB5/XBMNW1x8sUUkajCcruTg77ay+9kOHhv5Jo3Rg0f6+87rvsw73/p+StNdRB0pslXVZN0BSUvNu6MMQ157PBJMnc2KYc3tlnN52WUSczQ8LMu+/e2v7wJuNmcnDgW3VkFjDFIWzPNByTRODWG6wOGFbEwm2MzFwX2iTLCbgZVIkPEsMIJQ8T4Y+I2k/tesht1lkMyKNUIxeZr9eMqRsjk7kPCec5ALcypvMVZGPmPNhMMmdB0E6mDZLKhKAQnY4wZ3CFwhmaJh27Nw1xVQVg8lLtjmhIE0vCUDOQ27HXDrKvhDGKoPwHlPQC4BUQ2ddTIXVckQ7Ixv5rtPXkfCkjufalXDA/4NBH1zeBKZV6ptFhgalAWlveDIQtglcVIpD/hiUkMn45LU9cPVkrVlSl4FM0y4yhY4NtPCggUnLQKmnGuukQjXl14Sc8Nf/uVoUMwkBINHG3gMY2zyl4LLL5VMpkRCAoUWLjxxPzIZ2LoVs6+PVQ0NcPHyo0wZznffTPQb38KwIuic5vHZH6DCoyQ5LH0eW8IR1qmnxE6eV0W5HPQPSGl8HCIcqio1mZRmcEjh84LPA4mUIhqFaMRi/qwspSUWiYyT1haL9evLUcnzebnnZoazo+Lm2mu+ysWXfpLhdJRcJkTCW0FZgxdLyWFXVooA7O2VoOKCCCzMfOH1irEuEBBR09oqtUOmc+YLmzcXLgNWnKFC68qU6RlaHoBkLxTPhco1J1oJCZIZg7sOaj8x5oM+eLFZMpQun39y1pv+BLzcJxbVcyqgcsz9nGeR1LMZbpH3US/s98NML2g/7LoI5m+DUsCaIS4sgFQMejtgaJW4iSiHpA+GItDSA5VVgAvuL4WtJTBrAA6+C66/Hyq6wZ2UzKeXzK18/amrSWQlDa3MqOR+/wbmO+YzlIS1z8OL50N1GwRnwEA5dNRCdQ/4EhArgrJ+mW8q5RGB1lMJe4vg6QRc1A3v98IVs8F1mm6kbIFjM/2Ew/DccxL8MXNmvqwvEuX6sY/Je6dzQvNBoaBgOi2GnhPORuHzwZo1ojBgdKKo4/Hkk5Ju7/PJPAvptETc5ln2niX8+9avUN63F8PtoMk6D6PfIhQycPrdJM+5Dq6/TjobDkM2SyYJIzEn2jRxOUVD9fYpnBocvhym1jgMg2jWKRlp0Sz9g4r6mQ6i3RY9ndDfb9Hd80GGs88c6cv55/8jF5z//8hEwlg6SrOjgb7GHM5iAysfClRbK89KSdC0UqMTfBYVyTRfS5fKqQkERCCGw7bAsXn9k9kG2Q2SYeRcBcRBlYFvJSz+SL4O0WT3UH2MmlXWACcQLFUxWLRdXF7DLZC6EdzHScaNpuFXB2WYUAoOjcD7Fo4KI9MH3lth6HcQLoK22RA3JcjY4QPKIPs3QADmHYRdm2U7gz1QUQ7rhuHJKincmI5A/SB0WtDVDWvnwhYTlkbBGpBU9JEQzNsvYqR1cDtf2HwV8azEYQad5fzXzCeocy/C6pEsrYWN4sYaDsF5W+DFC0TMVIWhZhj8Gei+CPa4JJZn+yJQM2QeKqcJeyqgfxsMlUDVaRprbIFjc3rQGl5+WYJk6uoka8o0RWjcd5/4QRwOuOsuucqGQvDQQ/CFL0yqWrSWwNeOjnwpclOMJMctiJxMSmBJW5vsb+ZMEU+TBZdoLX2urBydE2z//qMEjtsN3nIf3r44ZjJHcaKdyEE//cEavD5FQwOkYhncLz4rMT/LlpGqnEfzgItAQJFKieAIhxUjIy7Kig2CQc3yVZLKfvgwDPXncDkUBw+Y+FxZQsU5OjruYGDwgSP9WLDgc1x22eexgM5oMSmfg6x2E8sp9LBkUTkco3E1gYCEVxWMWHPnypymudxoIDLkS7+nTvJ7trE5w1hxiG4BKwa+FeCql89zByH9Y2ReqA7gR2CuBBQYN4D57nxa90T0AP+IuKQsYBnwKSa9YloWHNgAnnydmFg3tL8Mcyeb3gHoSUA6B5X5eKLeBHTHj7b8OMuheSEcrgIrCyNxaE5IjRqPCYMjEEiBux0WhKRCdk8Q4iNwWQ/UDkNjh6SGJwPQ74U6E26cB1tiULlNZpQf8kAgIinchxK7+eKmK4lkBwHwu0v42eLHuWBoGToHnZXgiUn8TXUvVPXJzOOleVdUthw8SQg4YMEIXJKE8tvhunpIZICMFAwsyon7LZk+iS/5VWILnKmmMD10MPgaI25f5zz9NPz0p+L/iMelGt/73ievh4YkX7m1dXTSp9mzpdDi3r1StHACEgnJAmpokItyX59sojAlwhEKaUFlZSKkvv51CdQxDIkz+tjHJu93oehNNCoBz7GYmD3GUFwM69zPs8EqJef2MsfZx7k8ydCMD+EtchCPw77797F4/b04XQY89BDFf/bnNDhmon/5O0jE2em7Bmvpcvx+RSLrpOsQ/OJ/RVisWAE1FQ5KXFFeeCpNRbKTR/b8JwODvz3Sh4UL/4477vhHhoY0mbTG6dBELT/RQYXOV2HO5cRKUxCDmYxYvSorZRtNMlWVZJy5ZJCOROSQC/FGNmcv2ahc9JzFp3kqgrMYnYX+n0G6TeoJxTZCxZ9K9d1cMyJmgqB2ykSRlAHFoB8FffPkNYj6XoZnGyBRAWsGYeEeoJOjC/jlgAHAJ1WpjR1QvBVwgMsH2SImn78K8OWzHHP5DFBLH1tg0bcEmvITVjrSYC2BuBv8feD2w/M7YP9BWJDMZ5U1waJ3wIMboTUJnl447znYvBjCBpgpCO2Gkkfh7UVwz3XS/6peWLYX9EiYL+6+knC6X/bvCvLpd6/nkuRKHI0QHQSHCwbLAQvMjAQko2ROq6xbYnD8cQhdDM6yfBXk3fB3c+DzFoSd4NBwQ4vEIZadxnIJtsCZSjo74ZvflAuszwef+tS4cr7TwCuvyCzXxcVStKV8Guuoj+Xpp2XfxcVypS3M7eXxiAkkGh0tyFKYlgKOG3OTSokVQinZTCAwwVycDz8Mv/61bG/lShE5ra1SaNCypNrzTTeJJWcyrr0Wfv97UVBlZROmt184bwC9t5EfNl3JSKKcFyrfzbpuA7cHBgcs5g+MEFuwmlCqFwYHUU88zqLePjLRBO29bs5p+zYbMp+HVXNwOqXLBW28dStcfLGT5JCLZBiGKufhLv0sRUUbiEabWLv2r7j99q/R3g4ra/ro3jdCf8JLPKVo7K2lvELhdssp2L8fnE6L+jopepbJGIRCImJKSkY9gaYp+85mRUCeQhFrmzPA4Ebof0q+46IFUHPTJDNhnyZ0ErJ/AN0KxhIw1+Vrs0wz2X5Id4igAanKm9gj741KICciCJ1/eJCywW4mnTU9kYP/cUMmKNNX/K4ObmuDhrFDUxT4NpL6ZIJ5MVRuhLgBZEGloeTw8fte7YOLamBTt3TtgiqoH5dN5vLA4Ruh7EGY8QTMewb210GuXmYXdxRDiwXL8hlhyR44NADts8RdFB2CHcuhow7q2qAkBosOwCuzYe42+MILsHcFeIelVk6urJj3L/gy/7HjI3icRXzuQ4+yTJ+LFYfe5RIeUDwEL14F3m6Yc1gqKnfMhH31UB4HZwrcEfCmIDIIjiEoDsKNDljpg10arDapu7RoMRRNnkfymrEFzlRyzz1iZmhoEB/EXXdJdeTporFRCvMFg+Ka2b9fZhh3v4oQ9f5+ESW5nKTXnGoBwZISEXzFxSJmgsHRSno33STuKKdTiueMjIgIWbnyuJlbliWb6e8fFTtH6ceuLpnaoq5OlM+LLx492WghDqdQNGcyKirgjjtkJx7PMe4sreEP7rfzn3sGaB4K4vC5qDbdDA4Z1NVBPKGIqCBmPCJppfE4ACoawTVzBuEhKA5GKR06yN4Dc0gmxYNWmLniwx8Wg5bb7WffPj9OJ8xJBViw8Bl2776bW275LBUVisG+DLnBYQJlbloPGNS5emkccbOluZyrr5bU7+Fhi7Xn5Sgv1URj0NTkoKtLjqeoCN7zHtGhLtcxhiqbs5T0APQ9Ba4yERWRvVC0EILjLZmnkewvILcZCEJuF+g0OG849e1oDYOtMNQOvhBULzw1oaa8Ev+rM4BDxIyZj3sxl0ufMutBzwBnKTAgheXUnZNbvQbTkKyEilZZPu6DjsuhYewQ+AhwGCn+lwDuksksXR5xv7gj4DlBZphScEE1rK4QgeOeQCAaUbj5l+B9ADwRKaQX9MGwE5yzIDwgGVYU5tGzoDknqdiBLPjS0F4B4XLwZMEblurDcTe0zoLKTijrhMEQPLwO4rUwu/vDfMrpZrZ3NiUNF+CKQbIJtAEeP6TjkEnBg7eAqxJq58P2Q7B4K/RlxaLTH4RFB0VDxkJSk/BaDQ0GNASAE5cimxJsgTOVDA6OTvEQCMgt8XSyZ49cqQq3362tkjrT0HBq24lE4KtfFfeOUlKw7ktfOrXb+ltukWkf2tqkT5/85GhbdTXceeeo0GhtldczZx4VAGxZckpzOfEaOZ2il/z+UcPPUfOJFgJJClYgh0PESleX9COTkYrKE52P7m6ZMTQUkiAV05w0RX1gADbuKsac7cOpNBnLoKffpKlJXDtOp/r/7L13nF13dfb73e30OvVMH41G3bK6bEkuwnKJjBsYsCFgIBgwziW5CUkgXO59wwsJJG8KL/UGQhwSIAHjQNxkuRtbLqpWl2ak6b2eM6eXvff7xzpHI8tqI0syJlqfz3xmzpmz9/7tcvbv2Ws963nwVlfiO9AhA62shPe/H/76ryGTIeQ3yPQXqJhXgRfJphQKAt5Wr5aK3eSkgJzrroNNm2S78+fXU1PzJRYuFAxXmEzz2OMRbEWjIRznuvouliyBfWo5Dz2koCiwYJ7N0JiKZduMjdlMxKCi3EZRFfr7JXN0331nf1ovxdsfZpEfVQICigZm8uJt37bB3Ak0FkGCAdZOxINphjF6FA49K63bZg7iozBv/dkvrwcheAvEHgNscLaCZ7n8T1HAcWsReCmIjcEgEALlBAdyaxLynQKYfLMAHTJrwYhLJapsLm+0X4gybajpAhxF09L0dMbIdZLjYdmSGM7lhMTv9Yg9ximPz16onhQbC7sApgsWdMGOsHhL2T5Y2wDZdhlf2WqoqYaOYfC7RXcmmIG7u+HFAIzWwXILqschOi5t22kvjJeBkQIzAYfq4ZqbPkI4ClOzwV8Box1g9IowX1cLZINwuQovlcOBLIRFk5S4Eypisr7dXqjKifFm50G4ciWEL7J69yWAcz5j/Xr4yU+mnRtvu+3ibr+yUjI3liW/NU0QwUyjo0Nm2FIZp6tLNPxnAnCqqwUkjY/LzH0ysFDKjJykjGfbQscZGppO/CxfPo1dnM6T7FpdnYCn7m4BN263GFStWSPpjLIyQQwn1rWOHoWvf11QhmWJvULJk+EkUUoEzZ2vc7RT1D8LpiSsOjqkxXrZTdUo1/+9gMXychn4pz4FDzxAg5qj/ZZ30+ZayvOPy2kq/QSDYNs2TzzxBa677kauvXbDMUBn23JpZTKCPR99zkNYGcLKFRjan8Sgi6sS/4Wj+lZSG9/L2Jg83XV1K0xEobbWIpkB3ZiuDvb2yrgrK8/YkX8pfkPCWQGOCsgMCbhRdPC2nHm58xWKAkoE7AlExCUK6uwzLXXyGG4Dh1f4JLYtgGfOVTPL4viuBPcisLOghd9cKjuWqfEBc968vDkKU98EOyk8FudquO0W2DQIcS+sKYfWE/sergReRABTGrhBzCK1XTLRq58E/QQqoW3Dnr1wtBMo3tPWrzv9LdrKAx7QKkAZADTwpuHGV2DsSij/GFRdAflY0UMvAGELRjPQPgXuy+GmXeB9EpYkYaQaxkJibppxw9ZIPy9u+jzv2fBd8u4AmlNKTDtqIHqf3Lqqt8Ohq0DthmQeJnyQrpdiRete8IVE86arEWoHIeaG5gnh45guIA/WGOS/CtYaUG67eOXMSwDnfMbv/I5kANrbBRyczG/pQsaaNdIB9NJLUlq5774ztBidIrxemejNoqOdZcl7Mw2H49wczZEvz/DwNOcmHpdk1KxZpzEhd7ng858XDlI6DVddJdwb0xRZ4jcRdorx+ONyt2lokPPX1SWgp6nppMsEg/LF7+wUvNTbKx+dP18SRJddVnK88L7xuF15JaxaxfiQRddeg70/FYxXKrV1dMCePTYdHX/Go4/+LU899U2+9KVf0tDwO9i2TaFgs3ObzStt3FQAACAASURBVK9/rdLXp2AYOs2NtVRXpfBWV/KI9W7e5fPRtO9xXrzmdmxbo2CqzJ9nE/RbrFxS4O++rRONgYKFw4C1q3IMDztJJhVaWy8J+70TQnVAw4cgugOsDAQuB2fVxR2DcW/REbsHlFmg33lu63F4YWoI8EIhKwTWc5n8ND9wjro62W1gp6QDybYgtx1ab4Q/nCulI/Vk34nLgM8jDuJlwHWAU7qbcAMneVjIZKGjq9h/Mgyuh2H0MXDeBY6rTv7dK/PBSCeMeUCZB+WjUFkL6gIIfBpcRdKzIzS9jEOD25qlQ2tiAjK/htS4WEgE22GkCbZcA911Q2z62nUMR9sYnmrn6v+xmWo9RGctVI3DDT8AYwAS4+AIQMYAXx5cUVEgzgCZRsgp4hyu6HB0nhClrzsKR10wokABiMRgXzPUboEWPziuP7dzNdO4BHDOZyiKgIw1a96e7eu6EDg+8hH5u1TuKXUulZWdUNOZDrP4ZXA6ITB7NmzcCJs3yz/XrxehlHONbFaIM6HQuQGlYpRuAKedhINBycAcH2fSvSk5gIfDkiKZnBQhmN5eQVTHhWVJZmnRIjGotG3BcNXV08acti1NY7mclKyOb6br7NH42tc0bFsAm2nKMVdV+d3T8/9y5MjfApDNZvjZz37MvffeRCaRp787z/79DjJZm9FRlZUrVXwBlZTpxGFnMDWNNtdSIvoO8lkLRdEwTYVcHpJplcMdTm6/Q+HXL9gU8jbNzTappELnkQIF26Cs7BK5+J0SuhcqzmDtdiFDrQXnV5BZzlX8TtpIV1EBqOKUJF47AcSACmhaIWWp5ASoGizY8NZAth0VArRSefZA6aTbU4uZqtMtuJA3c0lOk40pbUdNQvkjkDWlJJb5mWRo9AVv/LzVA/oPIGRCRxZUL3AV1N4A7hZAERXm/IAQjo3a6W3YNhw4BG3t0LIVyIn2jJqFwAhMDIzwqx9uIBptA6BnbCdTB3YQnruBvAYbNoE3Ie3loUk536oJwxHpGNOSEBoumn+WwUhIvKVqx8AXgZb3wNRzcEQFdHj2RniwDuaNwZICfNoG4yI8TF0COL+NcTypuLMT/u7vJKPh80lnV2PjGz6eTktlrbdXXt98s8IVd90FN94o35SysnO/6wwNCRcnGpXZ/w//UGo4Zwi3W8BBSfPG5TrnZNCZ45ZbxCQznxeUt2CBDKDkTHlc5HKCfQIB3mCDkE5Pezw9+qiIMauqEHg/9jHBdbYt3OqSZ1djoziwDw1JJc/p/Ar79//lsW01NNyOw/EAP/sPG49aoHvISUODQmIC6usUNE0yRU6Hjiubx5VOoVtZtjR/iFhSHiFVFSxLYXhE49r1sH+fzVVX5LFtiCU1EkmF+qBJLGNw5MglgHMpzj4UhWkeig38HCHfgvgNfIY3zTDmQbC+I6RgJQzOP4Lld4j6ruE6d4dygPyzkH9I/lZbwHm/AIgzheNKyG4Fsx+wwHk1qOFzH8epwuWEua3QvUXczO1KCEWAEdn2mwDO/qKwqVOIxVocsnno7YAFs6EQhdHvgxkHbPCvh2AxM5LJQnsXhGzQs2AWxIrBUmDQMc5P/+l6on0HAFA0jZvu/w+uVzagHAZ/TEDNaCXU9IEvCY4cuLKgDkJHqwCbRuDyrfBcLeyaB7ZL2sNn1YDSDMOrgEmIWdAXgfK0GHMenA/tJiy8COjjEsD5bY8f/lBmuYYGYbf967/Cl770ho/s3Cm0ldpambAffxwWLFAIzETKNp8XV8dUSrZVElv5+c8FKDQ2yiz/wgsCmCorT+vkqCjC9Y1Epgm4F4wj0tiI9ZW/hIMHURVbUEmpTeuE0LTpqh1wTEzPLnYx7NkDDz0ku1pVJVmaPXuE5/zqq3KISlwbw5BMkNsNO3d+nVde+f+Obaeq6maWL/8ZR48aLF5k4jNs+kctOjo0dN1GSdokEgqVlWDZCll3iEJYI1HdQqDSTU3vtCv466/LNg8fhkxWoaLCxrZtEhlN9kNV8fmmO/UvxaWYcXQDmxCXSBXYBqxBFICLYdtg/ZPYDCh+YBDMh0C/H9wzqKR3A1sAD1IZClAkCT8ESjWQAvuXUDgI2v2gLj/9+rQwBD4HhR4BRHrzhSvVLpwPVTpYu8AZAN0ULSPtZA9vfoS/YoBS5P2pTrCLy/R/F1KvChjzzoX4C+BohfFNkB6CQBrUDEzVgm8C1BQMlk3yx3tvYLxvLwCKonL/e/6N2kV3MjYFwSGoGBUtm/JxqBoV/R1bhaRXOtBceahQwGtDuhnm9UFLLcRGoGEHzGqD5HIwwpBwQFZHrgkLXHWQrRHi9sWISwDntzl6euCppwQhzJolRI9YbPr/hQKMjpIZ8aLrASGpFa+IGSnZWpbwfoaGZAVbtsh2VFVm9NJsHw5LJicalWXOkJIpae5d6Bgags2by3j2qSt415x+rrsiTuO8gBhlIvjs4EEh9/r9AhbGx+Vvp1N+gkE5Zlu2TAvnDQ0Jt/qppyRBVF8v+9TZKX8PDUlGKBb7Bzo6/vzYeCKRG7jttodob3eyYgW43Soel05tDQz3ZphMOamokkNaAliGobJifZC+PvD5hQ/U0SEJqZLm4SuvSBLP0B1oVgFDtQgEFXKWJlY750gUvRT/vcO2YfJVUA6CNQq+ViHckp7+TDYn3x9nQsodALYHKVXNIPqAkvBGNg9PHoWPPgvVGaiIglYO6kvAFDAK9rfA/iIoJyEXHx+qDxwXuHW5kIKjv4L/CMPorbDxVViRg/D7QVsox3GwAwaPQswBRwIwuxbCPRDXQW2We0/dEojtgPTRYobKgsQBcFdC23cgoYHLA/4DkDEhUQPZOjBHY3xux02Mx3YBoKDw2fUPcFvwgxztgF1zYSQIKQP2LoU126G1HYI5iPRDLCg4xXM1hEfBWQmGR4Ses10wuxtSVXDYAaHnoGENpKqhNwOeMARqIeqABg3mXCIZX4q3FPk8fO97kpbp6IB9+wRY/MmfyP/jcREl7O3lyrRCp+cT9LOWfF6w0Ix8iDIZCoMjxNUyHFOTePoHUHRNZvXBwWkX79FRWbnDcdLyz1sJ2xbqjG0LKNKsvNxRHY7T6gAlk5Lh+NWvIBTSeb6zic17svzPe3uZ4xqjUFnDli2SCamsFEwYCMgulRqk6usFw42Nye/a2undnpyUzMnkpODNUqanZAra2fkdOjr++Nh4IpF38aEP/QrbdhEICHiZmlKIRh3MnmuxenGGWMHm4GGVykq54cVi0rDX3i5ZIsuShNmCBbJ/RtH7yjCEuP3pT6uYpkFtLaiqQiYjwMfnk/08E2XpUlyK4yPRAYPtUFMG2gSkXgF9CWjz5f/9w/DaTrkuPUtg3Y5iS3UW1PfObFt7kPJOcxImRiSbY/eC/xlpcVbaJFOBH5RWsGNgd5wZ4MwkshlIRMHpBl8A6AFSQBOSVjpFjP0aNrlgdytEJuEn7xO15K8NgpKGkVHY/yIoMejqB80JfRtgVwJWWdAyC0L14C2D4W2gN4J5WDhHuTHJ2iTzkHPCqB8KAUg7YSoMPkecv3/uZg7Gth0bz59s+AG3N91DIQdGuij0Z8OUF/QwdN8A41fA2n8SpeOKODz3Abj6Juj4O0gMQEEDXw3MbYGYCfsioqE46Ral5jtbQVOgNgxHEU5TVQ7GpqDCc2atoLcalwDOhYrDh2XGiUSkv/k05ZgLEomEzMCrVskYenuxVqwkc/VNkAL3E5tRenqgqQlvJsPd3Q/w6vJluMvcrFgxs0kuntHpblOJZgt4Uynm2uCJD6C4XDL7ezwCNtaskVbufP682liUbK8GBiRDEvblWV3WjqEUhCRYX39KxFYoCEBQFBmmNRnD3HOAke88z5zKNtJ330s2u46WFtlOPi8goLtbqnGPPAIf/7hkcExTQMTcuVLl6uuT9adSkklRFFle0+RwdHV9n4MHp20j5s+/moULH6Gry4NtC7hpbpbLKJdTKJga+3sCzJ0r/xsdFey2dq3s4pNPymWmaYJpQyHJ8rz++rRyQVmZkKGrqqZz8CUvqqIeIS5XqQvsUvymh52D7C5pcXYsOEWp4wJHdgJwQex2cB6GwgTo94A+JRPa1l3CP3EYEG2EtmpYZklXkDpDccLAfjBjYI9C2gK9CcoOgFUrvJOyLNg6qEsBLyhjb9a8eSuRiMFrz0I+B9iwIAENz4unlVIJfBE4RdY5Nw4DzRAqeglH2mFwEnI/BmcIojcIeddqB80NRhS0X0JsNXQUwI6Lz5OdgsYmYDtoi2DwCDhGYcgnppaaCa6UtIEfaYKkleSnD9/C4MjLx8byJ9d8j+sCnyA2WjQbDYEdhAlDeDoZRTI3yRZ46nchNApT1XDFLWC+BjEXEBerhngvjK2DsW4Ix4Tw7MzCrka44zjx0JXAzgF4pFfuhV4D7lgAgQvoaHQJ4FyI2L4dvvUtmWlyOXm8/sAHLu4Y/H6ZZUdGoKICy4a+DR8l2aNg2xDpjBJ2OAUAOJ34XAWuvyoj+tkzjN0HHBwsrOIq91YcKsQGFJyjk+iO4mzb2jptdJlOn3fG8OSkgBvRkIHR3gy9eSfVlQZOw8QYGJDy2EkK6263ZGZAyk7e9qOoik3DHBc4q3E/+K8Y71mDoqgUCgIGkknBaT09cNNNsu10WgjRsY5xqpIdNCkmcyq9vBy7jI4OhURCnmB9Phnn5CTE4+PHxlFTs4YvfOExnn3We8xdeP58ASket7R5D42oKIpCZyds2CAC09msjMk0Zf2lkp5hyL4tXQrPPANbtwqAu+22Nye0cjk5bpomvzOZU5q5X4rfoLAtSDwA+QNga5DeDIE/AL3u4o7DXV1sr7Yh0wJ2BdjPCLgpAJlW8BX7GgwDslVv1og5q7Bh9T/C9g2wuxGScbjhcagch7QPPJWi72K9C+wdwJBorrDsvO0qRw+AmYdACHKjsO95CPSA7gNPFrQXgNtPvqx/PrS0weEyUBKiE9OaA0ct0A3hQ9AdA10VkJZyg3cKnBbggUcKohuk6qIOfN8ElLUDPjDccHQ2BKLQ2A2WBr1ByDjAN5ChkI4fG8eXP/O/WbziPiZfAGdKDDa1NKi9YM2BrBPaW+CQDtdOwsc08ETEBiNyCNri4tHlLQMyYrA5Ug3PvB8iD4FnFAaXgP8EUfpMAbb2QpkbNBUmUrB7CK5uPn/n58S4BHAuRDz5pMw04bDMPJs3w/ved3GzOLoOv//7wngdHSV55z0kKppwFSe3iflr8e95CaO/X2bJpUvPmfCSz8OA0czLlTVoZp58ooOPeH+E3ntEkEAiATffLHWTU4rYnCFyOWnzcrsFHB23jhIgUJTSZG9jK6Lkm8kqqLrNqRJSDocklkodTp7hNO+b8yKNwQwUdHRMrnC/zli8ibwjiNerUygIGCoUJHM0MSEKxE21OWb/6l9orsniLndD3zg7kx6mplpYuBCcap6uXhWf2yYR15g3788xDJ2JiZ+zceMmHnjAT2WlJN2mpoo8KNsk3j5MpE5jVqULd5mXmnqd6urp1vJkUnjdfr+UoHRd3q+qgt27JZFXXz9NlfrUp954DM71lFyKtzesMcgfBrWxeO0PQm7nxQc43kaovwXGtwkJ1rAlo6SHpVwU7oWJoLQpFyxobjzzOk8VjjT8wVYYPwzaKCTTUAhDIFusDoVBvR3sjwL2uZmQ5qcgHwdHGPQTSk5mQdrZAbJH5Dul+sXRPJsQa4RTRWgZ3KlKGW9/JbQehQ8PFlvRFSibgOYEDI5CnQEJF6RVcOfgYAbGfeL4XdChZr/sv8sN6YxYOARi4uLdNg9mdUr3kysLg4vLuWLtM+z+4k1smPcB1l/9BzyWhdpyKFSBaotvVf0QRGthdzOERsDnhrEwGKPgLlowWAWIzIf2Z8Rc01Ag3gJ5P7zigui9oFqQNeAz/UjZrhiWLXydkq6Qosj1cCHjEsC5EOHzSQ0D5HHY5Xp7ZpDKymM6/PYU0AcKNq6hLozsEPaNvyO9g3V1kg44xzEuXiy2T92DTmzbycIrL8fxgb+FQweEjNLQIHUbeNM2cjmZgB2O45qWTFNqLImE1FMCgWnbB8uC229/g9ZNOCzYbHJSwJbT56TSm0LNWSiWjVUdQTvNvrndkhHZsAHYF4S/OwydlgyuqYmyg6/gr+wi1boYu6aFvj6NF18UsnAmI7ybqSm4ZV2CufkE6WADltdFwDZpdCVw9Nk4NZOQJ0fIpxMOQiajkDMVaqo/x2z/3fTvSJEtKCTcgWPChoYB5f4cHkcBwuUsW63h99kEy4XvU3LSmD1bwMxnPwsPPyzga9Ei0RX83vfk2IZCRd+fCSE3H6+e6nBIeaqk0OxwXAI874RQHMjsaCJ38gIoFzDdf7oILZIfgKHvi2hfSoFXy2A0D/URaHJDXRVEzlWUUAHuAPVnUNkvb5X938Bs4FVk9lwJhKdBwxuiDyEfNyKqxkBuAqL7ig0NSyAzAn3/VeTJOaD5LnAdV2Zpng+jgxCbFL7LLB0cY3JbsnRg3WmGr0LlMvgkSFv9c8ABWTZ3BLTD0NIspaEJIB+BA2loeBEytaJ9lK6DjAbVfaAWxMJh0oJEhZhbRoPQ2AtGTrqgXrqqKFfhDfP1m17ism0OzG+DerNcNtX94EtB3oBEGYx6oWIYZneA2xYl4v3DsCIDqgt8yyBcDmucsOMwxP2wZDH0O6VkGDGl0ypmSiv48eHWYWEl7B8pqi6rsOgC+99dAjgXIt73PlHC7S0WG3//99/2GcPrlad6e3AI99E94PWiVwSlR/Jd73pLPdgVFfDpT4sAsMMh7d2qpsgsexqBwGRSgFGpRLJgQdG1Yft2OX4OhxiIqqqsfNYsSZs8/LCoFBdrS5omk/nIiKxLVZ3k4uVY0XHMqghlNTMQd7nsMviLv5Cs2+HD8l5fH4ZhEDzwGqaRY8eWFtJxnf37Dfz+aVLv1oM+moNVDNYsw+F3EqtuZVXIycNHbVIpm4G+V4lUreQ9N8FLr+kc7HJTn+skljdwGhlc2RxmyqazM0h1tZSydmyHd92gUPDkKQvYGHaOREKnqkohmYTLL5/uyK+tfaOvlGkKPjRNAX4lonHlCZwEXZ9uKS9xeC7Fb36oIXDfDOnH5LVWB861b++YAALXwOhP4TkvDFtQ1gQ9OlSXvQVwU4qbEYPLMSQ70Fx8/4YzLPcE8DME9ASAL0LeBZ0/FjVo24boXijkBEhobshNwvAL0HQcu6CsEtbeCLFxyCoCMsZdoMTBcxtQe5b7oQCfBGsJxH4inJm8B+iBisVQbsBzV4N/j/hJNQ8KsMmMQsdsCA9C035ZTaNHskh7Z0FjFwTG8hyMvkL4imuYnwFjDMrGYM1TDnRLlrnzIXh9sXBmsg5w5SDQD5cfgL6KYhZGkdLnoBfSl0HrVUXDUqBlifyUYn8O3HGYNMRd3DLh8hN3WYFrZkFTGDJ5iPjPiRExo7gEcC5E1NaKD9PwsKQXwhdANWqGoWlCgclOTqL7dIwyB6rqkNRDOv2WRWbOZTc7OmTSDQRkcj18GOojBfTOTmkxUhRJLfT1Tc+6pd+5Yi7YtqGrC2NwkDqvF+bPJ7dzH9Z//lKeEirDqJ/8xMzKb01NMrD6ekmTaBr2wAC9mUr+8W87eEWvI5HK4zJUQMPhkGzO6tUOous+SCDajTo5jnFZA1a4nN/9QIF/++njPPfSXSy//GrKQ//C793t5rs/1hkdVQj4LdxOcCbzTGSzHNqfh5zF2IjBUA+srC8wu3KMvKOcZN4JKHi9kql5/nkBJatWvdnSS9NE1DoaFczodksT3cnOU8kL61K8s8K9ARyXg50GLVLM6rzN4ZkP1Z+CycNQ7wG9DBwF6ImfedkzhgLMVFQ9jYgQ1iIWCn3AJkitFCVgd9ElPD0MhTQYRS9e1QHWcXIZ2RQc3QnpBNTMhqZboLNdwI5WJc+KMyr36mBWg+kR/R41K89vZg/0WODoBvcAJBug4JVj6M2BMQiLKhGPqpT4T+lVsGoUHri6wJZvfIRX+x7krlkPcE/PPdh1kN8lJaLxcjA1cCbBm4GhKjAKELTEVXzVDmAJ9FcJuGmcBF8Y2tOg7AanH+oXg3ECj2+RA/6XA/4mDnEVrs/AJ1vfvMuqArMu4nR4CeBcqPB6oeUiOuCdReg66DVB6MuLWlSm2NJzHjuaZhKljAFMqwDbSlFEJp+f/j1njrS5d3XJQkuWSGcYSClw716ZvScmYHISxzPPSIHZ4ZAS2a9/fUrj03RaOqE6OyUbcuONckhGrTJe2uGg0elgjm+AtO7nwdcimE4fZflxDo81EAmnqNRi2IpKpjzMsmVutECIeChE1ISkAUNtJr/81WYeefxuTCvPttef5Utf/39YuvyHJNIKHmeByZQLQ7dQdZXaYJYD4xajgwWqwmlUlx/MPNmcC9XhwOE0SKUEl27eLJeZ2y2dUvffL9XG48Pvhy9+8cKdw0vx9od2HruEzle46qEhBaNpCFkwlYeWc7DFOy9hIuWrEoDXgRxoLqAo24AtpZXwcogdkPuSbUH1dbKIZcHupyEZk8n9wBbI1oKpQHCtLB/bBaGl4IqcfBhDKdg6LNWp1VVQ4wWcMGhD/1KY8zKUTYGSgpGFoNRD5WEBXh4POPJAEOpcUFML1EFBAX0WTPZBV8Hk0X//OId6fwbAzzZ9jPqKeVweuALbCZotjuGxSihLwpFWqBiH0QD4esCzUDqo5vZAaFxI0EoFuC3hG01kJcM1NQiXv/vN/KYbK+XnNykuAZzf8EinpR0YpBRxzlgknRYTyvFxIelmMlKzWrnybesJbm6WJFcsJjeZ5mYwnKo4Vr7yimRvvF5JT4yMyCy+eDF86EPT6YbhYTkoLpfsz+iogKKSYmGJYHKK+Od/lg6jcFgwVD4P69bBHz17G1P7e9CZw7yKcXwr5tE92UltKMUi6xA5RxS3ohFTKxmMulkSGKBjXw3NCz243ULDGhmBPfue4xcP3YlpSsYpHG4hUPFXDIwYZLNQHfDiymUpFFQ8blh9jUblcJ6tOx1UBHLc97EMzvBcPv95KQV6PFLa27BBbsK1tbJ70Si0tcnrREKOZ8mo9FJcijOFbUNyD2S6wYhAYLmYJ55LFHohvw2uc8LzTcLBmReGtW9DCzsgfJvrgKeRDJAD2ADeJgheBlPiWEB4JWSug1dWgxqHmzwQLD4w5NKifeMvlmgsE6JD4C42N1D8sfInH0IsB784euxj/CIOH54Ho1l4ohHcg9C9VsqONx6E4VYoz0kHWmhIiMV9zdBXA9kG8A1ASJdurNQgZG2Lb3R9kkPbf3xsm6uu/r8oW7Aa1zj01kK0EoLjUD0Mh+bDv90DG56F5buhbwFsvA+OvAqZXeDVIZ4Gb0G8syqqwXJDWod0P8xLSudWJgkOp9hs/CbGJYDzGxzZrFBQLGuaILpo0TlUkywLvv3t6UxHJgN/9mdvzUDzPEQoJBousZjgkGPckLo6uPVWOQBut4x91y6Z3Z99VlIty4v664EAUx0j7Gh3oeYyhCrDeGuuovLoNoI+Uw7c6pP3pJb0c5qaprknO3ZA2JPlMvcRmjbE6EmV83T3VdROGRw1fMSPvIY/NUWTO84984/wtcGPcm1zDD2fY/cuk9XrhY8Tj8PDD7/Ad797G4VCBoBgsJGPf/RJfGqAR583mZrSsO06FjfFuPvWJI2tTrK2QU/c4P135PjYjaNMeWt5fvs0R6ZQECwXiUhbenc3x7q6enrg5ZfhQPGGPXu2+KSWsmSJhPxP04RqdBr9w0vx3yymtsL4Y6JhYm2HwhiU3zzz9ZgDkPyGZCkcBdgYAd8fg/J2X2sfRkghU0ArUCtAo/YWqLwKUGEsAH+lgB0BMwKHgC8j3VmGE3QDRnshOQVWDsILARMyA7IJV+SNhOTjYzQtHUOV7unXI2l4bT9010gbtluBtBfW9MGSJ4W8bBQk8/Lwx2DbNRBSYVABcwN85moR6OvYafM/nvgMT732wLHtXbHkPj64+H+jTig4+6HZAUebIGLAVEDOz7XPwZMb4egGqGmCq3UYrYH8JISzUOMGrQAt8+DobmgbBbsA5MA/AuoeyMQlk7PoGqg4rjsuOQrpCXAFxXzz7YpLAOc3OJJJmbxKBtzJpPzMuJs7GpWZbdYsedwYGhLJ27cZ4IBkGU5i+TTtgRCPi5lTaeyjo5LdKQKcZG0rmx9I0OAYpiNWxmd/sYLmVo0aYxWfe08nc99VJ11cJwlFkYzH+LhkR6JRmDfXpmF0B8vKx0lbLq6saGdw0sVwbjaLFutk+rNky2u4dUUnw2Y1wcIE5X4PpPPEnBplZQJA/+EftvDjH78b0xS9ep+vjns/thmvpwmHbuI18uRdCpFqMA0PL+53cUN1gfrqAlXhHCPDNoeHAjy928NAURW5r0+yS6mUVO28XlEB0DRJbHm9cqiqqmTf2tsF5DQ1Cbj56lelYmfborHzp396Af29LsU7KhK7hCujeaR6Hd8JZRtnngHMH5JJUCt+5cx+MIdEkO9tDRVY+ua3FUXawQEOAzmmecs9QC8wD9B0qJkD2x8Vl/LgGEw9BuXV4vJdvkHKU+opkuE+o2jOW/KwswUk9aTk+TOti/WEfwSSfrEzUKagfy4EwnCgFnwWOLJQp0F3A4QaoO8lmy9s+gM2vfj9Y9tatuz3uHnjd0jacvIKJrhMKItCLATRcoh5Yf2vYfcqaJmCOU7Y8RiMT8GLq6HVB+/uA2cBZi2DVw5DbkDuNfpyeK4d1sbBH4Z8Fg68CFd9UB6mJo7Ckc0IigJmXQeVZ/ZXviBx0QCOoihlwA+BGxEO/J/btv3Tk3xuE3D1cW85gMO2bS8u/r8LqGbar+tl27ZvvIBDf2P09ophpGHA9de/dfvlfF5mrmxWUhjHra9UZTneBPGciKBut6ys1LKeyZySEWzb0oKcTMqEWVEhreVnfafL5YQtnExKeNvzvwAAIABJREFUKqP2bNsKpmN8XDITDge0NjpxOZ2QSmH7A5ihcmynF/WV19BWrWA8ZvDE+CqaGiye2QNmMo5r32Hc3hj/smk2f3XPycFNKT7zGfjmN2V7jY2gqyZTHeMktQDxlEI2Y3NF8zBHq2ZT5bHw7djFjsi7eSm+FEO3GE+5cfYXUCsjqB43bjd88INbeeWVjVhWEgC3u4bf/eDTlIdnkc7aqCpUV9soYxZLl6m0HRDtnqkYxNwqA8M6galuDrym4/d40TUfGzYobNkipOIvf1kwWyAgKsolFebhYTl3x/OaSp5ie/eKIGFJkbmtTRrV5s+f8en5jY/fhnuNbUFqJ+S6wdEAnhUysb6VyPXKOlUXeNeCdtyDhRaE/IQAHDMJWuDcypuKDygmTikAFiinsC8wo5B6WdSY3avAqEMmxbPcbhfwayTDcj2nFBA+ZZgWvB6F4Qw0esEbEE6NDVjD4NkDWwxQlsHcoJSlInOkfZou0csxhkWUz7FOOq9OFREPXFMLLw3K+htq4EcWpMogPAbxPORtaMjDVAReWAdWBKb8oBlgJKDdhloTYmthiQKDT9vc8+U/4fmXvn1sO1fM/zC3/s738aVVUGCkUsw6q1vAo4iUhpaBSLyof5OEQBss+yZYTqjTYd4e+NGn4MUQrG6EJ8ZFfdoKybRXyIPTBr0I5nSHlKpsE1Chfys4POJTVchC36v/DQAO8B0EIFcjWPoxRVF227a9//gP2ba98fjXiqI8Dzx7wrputW376Qs41pPH0JA8BluW1Au2bpW2lLY2mdgvu2xmCr22LTPP5KQAkP5+Edwrghy/X57GSxycSES4HTMOtxvuvRd+8AMZe2ursGlPEgMD8iNWADa5l7ZS9/g/yQx6772SKjhVWJYQegcGBJ20tQlZ5ETm62liYkImcU2T7NXgoIN3ffI+tO9/j0JDC2ZtPYrfh5XMwaYnKb/uZlwuGB1XSU8ksafihFrA6XSQeP0I+U4DY9apQU5dHXz963L6fvQj2LZTozHoJuhIM2uxm9bKDJPldYy1Q+/BLKGmK5ifPshEwktC8WPWzKPNcqNMaLSWwRe+sJOXX74J25aWEUWporb2GXKFufQM2Pg9FkGfxWVzcvyyy0FHp0I2C+tW56koh5FJjbqpgyxxHGDUtw5HrJO4GiGpV3HFFYKBm5oEo5qmgJxkUoBMVZVcSmNjMjmVBKMTCclOldrx4bde3O8df6+JPw9TmyU7kNoG5iQEKhGX7krgJsB79uvLD8DYP0o5wTYhcwAqfn8641B+Ewz9GHJDUqaqmqFHVCkcy6CwB/L7BKe4bz85CdpKw+Q/yn6hQeYlKHOBPoh0Sd2LtHOfIvqAv0S2kQe2A38BzIQK8swIbJsQLZldUdhgwroy2DkO9T+FpmLG5YnDYj0RqITeg8Xsy4QABD0kJZ3sL8G7flrE7mSxogqWVsAA8JUCNO6AXAJG6mGFLZkvbz905OFoFazsAP8EpPzCwxm9CjzdMOeHMCdlc9+DX+T5PX9/bP3zL7+Laz/yAB0hQcIuEwJx8bSyTCmFWVMiFqjY8KN7BFw5J0GNQrQa8ENFN1zZDbvXgceE/CjEbXC7hNScy8KVNaKgbeVF/DDSKsCtcx+MDYDTAUEP5yy2eL7iogAcRVG8wJ3AZbZtJ4CXFEV5GPgI8IXTLNeMPGF9/CIM88zR1iYzy6xZ8rqrCx54QJCIrkvm4u67Je1xNpHNysxTYoOmUoJmigBHUSSrUBLuPatyQsnNsTR7lX5fcYWUpFIpWf8pUkHj44KHNA3MgWGmDvZRV1Ehs+M3vymCe6eqkWUyUgMptXjH43KMZgBwhoZk0VLZKhqFxKqlBP/hG5g79qJEJ1AUBdNw0NPnofM1ccF49lloqkgxMRYjZxvsi5UzqyrJP/7Yy6obhYZzqgm9dGxfeAHa2xW6Hau5s2kbPscU/rUR2u25LCob4PKpR8h7Ldz+DDuS89hirqOm3kV/vxyeAwdstm+/H9uOAqDr5YTDT5PNLiCVglCNhe5U6R9UGe43WHy5QtCTJe/K0rbP5LW8l0TWwUe8HeQ9IbAs8k4fjfokfZ4qnE65HjIZGWtjowCeYFCwZSAgGkQl3tacObJvg4Py2aoqcUV3u2HZMsG5v23x23KvSW2X1l/VBZYfkpsgMIEQZlNAG/BnSOnlLCLbDligF/kQ+UEojICjXl4bZVB3P5hx0LynLrWUwrZhakjIt/4KcBXBiGKA5/fAngAcoJ4CpBSGBNzoxQRv4THIF0BrBnaB8lPgvpMvC7AfATbNxdc9QD+i+Xc2YduwOwoRl5hBpgpwIAafLoPtvbA9D47isXL2w5YXYHEV1C6EiU5RZQ7kIJOGUR/sNcDxNKxdBeHTpJI0FYbzcP03YPZ+6AzCviZILIP1TdCWhfqd4IgK/8U0YN8CiJbBqteg7ijEffBUz+s8suevj6134bz3ctsd/8ahFTqhXvBFQTWljXzLelGbHh6B/hugIgHtNZBVYWEnOH0CzJwpCA5CxSTM3SJcncG1EHWDPgwtXgjqkMrC6nngqIOJAfAEBODseRHG+sD2QawNChlwe2H2TWd5Ui5AXKwMzlzAtG277bj3dgPXnmG5e4AXbdvuPOH9nyiKogK7gD+1bXv3yRZWFOVTwKcAGhvfgj54KXy+omRl8SeVkhJTiR07MiIlrLMFOJom9YSShXOh8Cbmp6LMoMnJtqflaEsLHw9kSpbRpwmHQyZQTQNH31GqEu2yr7ou65uYODXAMQz5XElRLpebJhCdLkxThFq6uwlp9ViF1di2LrYLBYupoTRKtRuXy0Upfz1sVtCWURjqlfF+4AOw8FN59n/2Z+xOt7JPuZxFZYOodXN57TXBWPXV+WlnzVDoDcdGVaVSmMtBTyrAV/uvo/KwzX/ep2IPQ2N0D2MulYPDZfg8NvOcPWxRNFIp4cfkcuByKbS0PMSRIxswzRGamp6msXExExNSEYxGFTTFJp01UBwKDXUWfq9GtuAnOZnDSiZRnQYFh4cAadxjvRhVtRRcfvSiyWddHTzxhICa7m5YsUJwa0mtWNPkvVIMDcl7gYAoHbe3TzuN/5bq3lz0e815v88gmir5wSLASYARQ8BNFfKofBghzJ5lXUbxSebmWOkIUE8oHak6qGepUdKzE3p2yNO5qkvbsK94G1RUaS8+XahuwCqSVgFXezHTMAk4Qa04faUqWNwN+7jfZ5PQMich8aKI+1VHIBYBvwFpE+rHIDsF1ZbYEpgWaDlwDEKuHnozoGuw/lZw2JB4ENqK6r/+BshY8Mo22Hg9TMYglgC/BypO8PmtOQrJg9AZluzHFS+Dywuzl4nejCcOCR/kHGK/UDkKA3XQ0A5jZZB3QLBlGe+75V956LGPMnveu7nlrn+nftigexyW7hZgE5qCaAgYAXsbhFWYp8DOFTBaB/4pUU0ejEDbErjyJXBZMLgSHAthQIdDbskEF1ogMggBC9a2QCQISgjKiwA5l4GxfukyU8pBd4PLB5e9C9xvowzcxQI4PiB2wnsx4GT00uPjHuCrJ7z3u8BO5Pr/Q2Czoijz7dJj83Fh2/b3ge8DrFy50j7x/zOOJUvE0mDLFnl9xx1SDygUpoHK2UzopTAMmWkOHhQQEQ6LuNy5hlVksB0TlbFnXItoapJJMJWCxngP3viwGI4UCvLoX5LNPdX+rFsnxyeREOC34CyKry+8II6QPh+R+B4WV8fYp2+kEE+hdneyZ0+MvMtH45V1zArYuPNxBiccpN0+AgHZbHs7LLitFs/nPoPv5Tju3jD2gtloXhdKElJTBRg/IGhEUQTozZ//hll+wQJRVg4GwedTCIUUvvtdAQfLJ3WyQyZOh00mWSChq0QLNsEyOVZK8RAZRh3Nzc/T1DRIVdVSqqoku/Tii1ATsaiNyPmoqFKxUVFUE8W2CVXotPjirLp8jI7uBbiHdxLMD1BrTHGo8lqWVMolVqJ/lXDqjh2SnAucgjOh69OXhWFIhmfWrItvbn8R46Lfa877fQYI3Q7j/yKlJdUHoWuAF5CZPIWwhWagAuu5HLIHIX1ArpPAu4VUfC5h5qHvdTFbVDVIx6B/L8y77uzXoUfAezMknwBtTFqNVSdCqBnmjMBtJbAWqdgpwN3AmZp1rAyM/5NwfzBg7U545lYYLoOGp2Du41L6cgVg4Upo6y6ahTbDgjqR0YlFJatcsR7S22EwDVYZKIvBpcvzU/cgvPa6jMu2YOVimH0cyboWyGegzyW3n8Y0pA5D8iswW4eRKahMQCwo7eH9dTBeAWOjEEhI7VW1Yd7KD/Oeulo+0L8O/XUHI9XgjsKBOXDlqwKSPCkBREYG0n7I6zD/oABMVw0MlEm2Z2QB9LbC3Bg0VYvtwnC9GIiiQKAOgq3wUQTknRha8dm2kAfDIWafoaa3F9zAxQM4Cd5cUQ0Ap9S2VBTlKuSa/cXx79u2veW4l19TFOWjSGr5kfMz1NOEpsEnPgF33jn9WLx7t8xelgULF0rbykyiuhrKygQcOZ1vOzHC7RYqUT4PRp8XVZ8nZSaP542A4JVX4Omn5Ri8//3TZOLGRtmnUvbmbGbS118XMORyofp8zE3spmHjRg7+wwsMWyEcHpXOaIC25zXq5y9mdl2KzpQLS9PxIpglEpFSTG+hhrIra7BT0DkK1ap88apcMZhKTyODREJ+gqI+ls8LZ7ynR3bRMKQbfWxMdjtZtYLIRDdVU72M4uLBoXXogTyJhEIoZBCPy81taAgWL46wcmUERRFKkssl4GdsTCHgh0DAJp8Dtwc0xSboNwk7U6yunMDK5ZldrnM4exm6odEbbqSuxsHkpFwa5eXT20kkitpIag6lq19SWWVl021UCGZOp6UaqigcM+l8U5QsyUEO2DsXAf1W3GuMKqj+o2LJyAdKHhhCSlMO4H5gBq3XigHh34VgTP5WZ/AcdqawZ0AMPj5868GzEqzDQBY5c5Ng10J2LThMIAfRpyHXD645ELxGxq8DnwHussGhnBm9AhSGBdzoRZqkdwDusiDlhMRjwhUyJkHfBQvGYcFciL4f9k6CYolWoA0YOoz+BMwQVNfAwQQo3WBVQE01HD4CHie4nFJ229v2RoDT3gyHq6F5t5S6RitBHxGNmxFbAEnZBFTFRSy0LAZVBdg/L8/SAwa+JIxUwM7lcOuj18GEvD66EOrHYTwgisWRIci6pNSlIOfIWYCMCXO6oHAEqhUBdIFKaVywX4DsMKRzoF8DyhjUJiAdkXJepgOiLwsYLV8PzuKx1DS47CrY+5IQjv1l0HySJt28Dc+k4FAeGnXY6AH3BbzVXCyA0wboiqLMsW27vfjeEqSUeqr4KPCfxTr66eIcv17nGIryxg6kJUtkBjRNQQdnA1BK6n2BgNQVDOP89OuWskilzM3kpACNuroZAaeSSzXLl8HLaQEBvb1w5Aj8/d8LiHv8cZlM+/rgb/4GvvY12f+9e6WGYpricXU68gvIesfHZdZubYVUCqW8HI8H1HgMxV/FRN5FXnHittMEwyE6hnxceZUkisbH5RCuXi2rcjgEUFx7LezfL8Bn8WLw+4DR4jhOkukaGYaVK8DvVzh4UKG2Vna7vV2wWzodZs/Cu6nNd7Pp0TxbY/NZPKuXRx+/mUDgGxQKN5NKCZDo7pYsiWEIcFq4UJSSYzGFTAb8XpNE3CJcoWKrGqpaoDEwwWjSRSGl43aZOAwIR4/gP9rFokWtpJqbyOUVWluFwz01JetOJm3UziNS8NZ1QWiq+gafrvr66STjSctSliUrK52nkor0O5OF/Ftzr1GM47IsDuDzSFnKzVmDm1Rc1Ge9QWl11mbaanSS0AxoXA7d2wBV+BuVVUUwdjZI47hQfaAsBWs1sAvyXhg0obsHHL+CpikwO6TLa+pZyYiEbwAzB0NPQPwQOCrAcRs4T1MWswow2AUDUxAwoDws5TFnACgagyoqOAbAdIDhBXcAPDshcxMcPSLrmTMXQl4YmARHDTTaYGchmoHaJpg7C17cLURkkK+WVpzAp9KwpRMeiUP23dDYAloaUjUwfw8YphB4c0GYckOZDSM+CGVB//+/x7aOB+j8t80kGsJknODIwfgsmD8AYaDCDWUZCIxDyidmm4oNR+aAkQcjCzmn7J93SlrTTR38A9Drgpfj8N57wByB17ph1X54Zhbs88LKg3DNyzDUPi0l0P8TaLwP9OIzY2U9XPPeouGx++TPSE+mBOCUqfByHuIWfPQ0ZPK3GhcF4Ni2nVQU5T+B/6koyr1IZ8PtSJbxTaEoiht4P/DeE95vBBqQzKQKfBaoALacuI7zGiVl3FPd8GeimDY8LBbPiYSs7557Tt+ZNJMocW4KBfjJT6QdCcSY8vd+b/qKs+1SPUVeFwqSkRkbk/TNnDnyfkMDbNwoWarDhwUomaZ4G5R4LKGQIIuREcny/PKXAgBVFTZtEob0qXgJw8Pw4IPy+eFhyeQsXHjMKXzWAjeDh1MkFT95U6Wiwjo2QVdUwAc/OK0FqKoCSEZG5FQZhnBTDh0ShWK/L8xd851U798qANPvl321bWzbxrKgLAzLlkJtrXIMIw4MTAsthmq9JO351K4vcLc6wLe+fQPpdBfp9B34fA/i99+O3y8Ay++XXd+3Tw5rIACdnQo+HzicGh6vRqGgMj4JZUGLlkiG0RELs5DD0BSa8+1omRH8GQP3f23DW1dL6uY76Z7ysXKlXHKqCi89VyAXS2NUFAkVliXo5zhHTUUBQy9VTk5yDZdaq0rXt20X78zvPJLOO/leU+LHKKd61lGZUS90zwFo3yF/e8Ow/HpwnCfF2fqlovKb6oHkkxD/BcQ1qPoQuI9zqDGLl5ZWvLRykxA7LC3voUWge+Rv9X6gHY48B5NeKX+lpmDkZYgsKbbIK5A5DNwA4y/D1H5wVkM+Bn0PQcunTn2L7twKA4dAbYT+ozKO5nXgukz4Kvk54GgDOwWKDkZrsbqvwqLF0DpX1uN0CsgyqqS7SPNDTRIammHqaegwoaER9iUhWmRzrVkDuTxs3gn9ObDzoEdhZLVwf+oKoA1Apkv2UQeyHkhWQOsKePzff8gPNt8PQOoT11Hzn08RVCqY3wmDS2DlgzBQAR1pMP3gzsvYZ6vieD68EkYM8L8O5S7QaiATFe2DvAZ9ZZAtwOgI/MfjsMwPmQpo2QHNIzDshGvHQR0VArFeBCTZYciPTwMckJZxRTv1eTiQgwoVPKoIGx7IzeCiO4e4mG3i9wP/DIwA48BnbNveryjK1cAm27aPZ7/egdTNnzthHX7gewhZPgO8Dmy0bXv8gow4nZbW6p07JVvx2c9Od1Cda2zaJKUESQvAT38qxpzn62lZUWRWffZZGattSwntmmtg7lyp43zrWzJzz5snBkY//7mQO5xO+K//gs99TgRTDhwQcJfLCWJQVfnx+wVJmKbsg6YJ0BkZkf+X/CRUVbJIpwI4fX0yvkhEyipDQ9KFVl4OY2OENqzgmqYhhvZ3si13OXZVNRMTkugpNZ7px13BkYgMd2REAMXevVIvr6qCwUGVf/9JgT9s6UEJhwVMeTzw3veiAKqqEI/b+P0CmDwe2Y2S8q/DIRU3n09lzZoxrr/+BsbHuwDQNJVw2EN1UcU0GpWElM8n5Of+fhnL/Pkwb57C+LiCZZo8+4wFikomY9BU3cBsoxfN0OifcFI1MoHl9lFn9KCqCsRiqEfaCEQWYVlOgkE5lZaiYbj16XNUKMjgS1FCase/PvHRSlGms1mlz7wzszeleMfda8wOyH3//7D33uFx3Ne5/2dmtjdsQe8gCivE3qliqtFUs4olW8WKXCQ79nUc2b8kPye6iZ3cm+SJHZe4JXbcbTVLVrOs3kiKYu8kSDQCJHpZbO8794+ziwVJkKKsEhe8zzMPAWJmduY7s/N955z3vAf0AGjLwHQ7b8v9NxGD9t1gK5L7NzgGJ4/BrNNbPP+OUBRwlUL0aTAo0t4hE4bRx6HmL2WdnX54MWdxcVExLNWke3c6hvRu2g/1d0BoGPwnRJTqd0sLABAylrZB2g8GH2QCYMl1sI4P5lJ3KhjdkBySkmXtLAUZo51g80pTTHMlpDLg/iCE22HwSdC9kFwCxgVSSaQlgDSYrpHtp77DKiqU3Ar+pyA1CvZVMNwGJrf46ET3wIqTYKwXcz7nwzBcD/EkFNvhaAoMURE0J1zgtUP9UmgbAENGfGvMQGUt9I79lK/+8hOTn+3UzJRnTdQEQAlC5YAIlZNpqHWBvxGU3VBph+6NoB+D8u1w4mIYWw2z0uBywOBhiKnilJzVoUQTI8CoFUL9EImBKZfYtSpgmwBzNSTGJfKVzYnDDVMidvEEbN0NI+PyGWuWyr9TUWOAXXHZ53hWTAvfTbxnBEfX9XHkYXL6/29ChIFT/+9+4P5p1j3EmV3Y3z08/bSoOOvrZdb6+tclRfN23mwjkUJZlMkkE9M7/bacSMgklp+4VLXg+Pbd7wrpyKuJf/5zqWCaNUvWGxkRwe/+/XLOiiKsIZORUEQmI6GRtWslQmSzCfErKpKJUdNkds9/fn7Wnw5Op+wv7ytkMAgzCQQgkSCSMXMk3Uh81mxWzXFOZvJKSk6df3VdOGMqBT6fTnVpEk3RefFFM36/wqFDkErppAdqWeBZzKWuLiE5J09O7qOkRIZlbFwKxZ57TqI/s2cL4ckXjvX2DvGRj6yno0Ni1kajie9979ekUpfz61+Ld9CqVeByyjCVlipccYV0m9i6FXZsz5L0R3lf5RGud2zj8eRGotWzePENJ+GVcxkayBAeT3GLax8LGqMYhlOAAnY7puPteOsbmFuTouNYlrYuBx+6VcVU3SSt2WOxggZnKqYSnPzvUwcwH/n749Dg/ME9a/QUJL4rkQOlBjLbIV0Jxve/+bZnQyZXWpS/jKompmvvNDLRnDgYIWSZoPw8EIfnhsFnkpjhyyPgDUF6avfuYRjcAz175dwzKfk3HAOTVYS49TeC8ZC46Foawb1BtrU3QLhTKrjSIbBUgnqOLL+1CCJjYHWL864zR8gGHpMIRDoLgS7QVkDpJ8CQALUC1NO+SpkBiDwAmTGwLQLL9eJAnN4B8QCMhaTqbcQIKw3gVAAVLEHJbzqyMF+FIxYw18L7AzD/VbkHTMVyLkkF0kXwytD9/OMX70LPfX+bWpfwwGPP8KjLRec4VEbhxq3w6gp4YTWYG0GvAzRwjEHMCFVBaDgO+gSk60CNwUt1sMAIDXth0AiRBigNQNoi25YXgTIOfQsg0QbzBqSVQ9EtYNgH/k0y1mXXi71AHvvaYNQPbhdEovDGHrjiwlPH7yo7BLNwLCmmgre+i+kpmGnVcHbouqRe8uUpbrfoG+Lxt1YpdTouvBD++78LJebve59MLu/kW/PcuZL26c7FSCsqRDej6zKpV1fLZ3m9EskxGgu5nkRCJrhAgKFsCR0d4IoPY195IbPKokLK8mU7t91WIFEgY3TbbRI9ymTg6qsLXb+nQ1OTtFzYt0/G4PLLJyNBacXAqzttRKIKRjVL/3bpqzSVL+WHLJHILzrdx5Kk4llcWT/H2zx09lmIRBQsFoUWb5RX2ipY5OiiODIGK1ago0gpvhHKShV0FB56WHQ0JSXC8zRNoiXB4Aj/8R+X0td3FABVNXDXXQ8Tjb6f0VHweHRCQZ1QQOfKS3XcLoVoVGXXLoXBQdEJjXaHGQ8EsKbDxBULd3qf5Bemu8lmrXR3KxiNBmYvNDCoXMIFyvNyjxQVgd2OGo9h7T3GrIEBGgxwxbpSlKaVYlzS2irpttz5nIEp6ad8BkrOAZR8KCxPsv+wozd/cNDDQBSUXAGl7oDswNvbp9UO3koYPSHkRlGhPJ86egeVREWrYeRR0d/oKfBcJv8fTOdSo3lXbSCmgCGX7iW3+E/mSMoIxEcho8Ksa0WMWlQKlc2gXCRpoamGcd5lEkkItoFzDpSuP/dt23wRHH4OIqNCcprWQToCZIXwjHfJ8U8czXXUvu1UwqTrQAZC/yXVWMbjoPw3pJwQaoaodGtBVcT8L2mFQyFYkwZUcDXAqgxsbwenDrfXw0I39P8KDEWABVpC8HoL9KegY/8jPP79O9BzX1R300Jm//vzbOl2c+dOiPVAqAvGvfDra6FmFKy9cMAKNML6rPj1HFoLihNMEREdH3JBXxyKsuBYCLFGKI5B9Ig4WS8ETH5oKANLAqKlEC+F2HLwusB3IXjXMu39EwiIGWDeWT0YgogOQ4qU9fsApwp3F0nU6FymiO8UZgjO6dB1eOopeOIJUbDmTWGCQSEJU8P/bxXd3aKN6e+XtM0HPiAzzJe/LL75JSVwzz0FDczviqIiuO8+2LFD9r9yZeG4ly4VB2avVyIyN9wg6bL/+i859+JiuPJKYo8/y5GODE5ClA/sYvQ/d+K/YQ2ez91ZiNdO95ZfWwt/9mfnd5yqKqVLF16Ya3KSux0tFiIDESIRBbddtELxqGT3FEWGx+kU/ulwyO9WK3S1Z8nEMxhMGl0DHsqqNEyOLEMjGqEQlC6sJHosS8JoJ3HJlfxX22Vs+ZFCeTnc/QmR/4Ay6efo9cJ118kXd2JijO985zL6+g7lDl3jzjsfoLX1WuJxaXK5aqWO3Zxl+y6FVzcrXHGFQiQCZovwPacTDM4IKWuGVcszGMcsqGMhlFgUs9fK668L19yxA26+uRz19tskyrZvn4zV8uXQ3o7icgkpGR4S5lVdTTYLBw8qHD8uqbWlS6d0/ZiSftIRoXMqH2I2TNHGzxCb9xTxqFSdTIyAww1zToLFCYRAfTtt4nRQnoCFT0I0BYFrwDUHTJsh/SJoYVCWAh/lLZWaTwf7ImnrkDgJplKw5lp/lJkldeVP5oLIClTPhchxibwA+JZCzApDhyA7IWmjWFAm/dY/B29L4XNOd8NVNCheK8v5wOqGJTdJGbPBKPvLmCW3CNAaAAAgAElEQVTNNdEtollNA3sNDPvh2SDoPrh8AkZfFz1QeSlUB8CigXGbCHR1FYz7ZbuUC3QLYAfDCkh1ABYYuhSeOw6BDNSXwUUN4LJAuA1CCrS54PnZEE2C7wSMdz7BE9//EHououqrms+HPvs8+oiXzixEwjBWA4ZBKOqVMu+QQfQvahRSJRBthh7EJHJBOYz1Qv8EeEph4zOghiUN1rgbFn8Smhpg6GWId4O1FgKVEO0Dl1uy3gd2QlmNPC+SfjjxlBBSZxNUXwmaBSrL4eBRedTE4mCtgb9TRBcPcA+Qb3v8XpAbmCE4Z2LPHtHdVFRIGqetTWbRhQulPPx3nQSSSfja1+TnOXMkNPCFLxTqfRsahIh87Wvw1a/KrPM2kHR4Sa27EqPxNKPAu+6S6MuJE7B+vYiIDQbR54RCcn5+P/6S2RS1HaV2eCfxpMqwuZqyzZuhpWRSBAzI3R/PVfBYfkcF4+kibacTc1JBURWSigmj2Uz3IYnSeDxSnZ4vezaZhIeuWZMz2zMpKEoWzahhMIC7SCcUyfXYCphoXjcL5213c98/wbPP6lT64iixDN/4ioGvfMOEwymERtPkcnR0gNE4wVe/egW9vfsBUBSV22//GYsX3zgZDUkk5KWmyKUTiShMjOso5N0EFC6+WPTX2VQxFW4/A5451DdUYIyFuK3VxX//RG6BWEwuvd+PkJrZs2UBOdH29lOJZSoFSHCxo0MCYMmk9FK94gowGk+9XzMZhVRamdxFOn2q3nwG7x12boOeIPi8EG6GzlFYoIHhapkgf2fsAx4RQa0jDrZvSksA5aRM6ulVYN4Gihf48Ns7B12HkFf6FDmKpgRzjXBbJWweg6wKa31S5eO7HhJjiGA4DWpEHHfjKUhEc5nuJHQ/A7ZSsLgLnxOckCojl+et1XXkoajSFTwPzQw1t0L6lxA/Ao5miFrgQAa6rJDKQvRRWL4nZ8/jBt0Oze2IQY4ihEYPiJbF6IXkuJCoqAqtt8GQE360CaIZsIXhiFdKtS9vBX8xHEjCSz7osImgt+Pg07zwlZvIZuQNpKhqNhv/7kVMnhLGrdB4WMhY0gjRSrDFoGkANq2GUERSYolx2BQUsXrjEdhkhPAFkPTAIhNUbIfuSjDosHQMZg2DtQXqry6MzZ6tUnUH8gzLZqXdg65B7xOQDEnVWvAYDDuhYj3MbRIx+eCo9Nra3AIRRKkfQ5rDLeO8zbffEcwQnKlIp+F73xNlaW+vRDOqq6XSqaXlzbc/F/K+K3nBbXd3oVQ8mRRl7Pi4/B4MTk9w2tokumQ0Smihvv6sH9XfX/i9qgrsppREbL79bUlTNTSIjiYfNclrUr7+dQC8CYXnTXdgGdzBeFENWUXBXJqzz80jXxOd127kPX3eJtIZhbGEk+ZWmbRDfpn4a2pkbu/vl3PM92Tat0801GarQjIEVj2K0+Egm4aXXlVJp+UQS0slu/jii3LY5e44Tb4AyZRCfNSAv0uBRi+zZzNZJl5amuS++zbQ2bkbkHTOpz/9IxYs+DDhsHzx8907uo4rxMIKdrvOvKYER/bo9AzbuPgSSU9ls2A2GzHrTjEetGeJ1TcTixsnJUu1tXI7uKbLTRcVyZI3xTGbJ3N2wWBBB26xTMqYhLhMTSNOqZCfwf8cBuLwSDpnEqdInyKzCyy/Yw+oUzCIPNmNQAj0bsiUSORCz0KyA/SVoJzu2ZxDNg2j2yDSA9YKKFk7vXg3q8OWA9A7JOTe64L3LQVjFpStUPkLuDkDXA3k3okUFcw+OPIajHQjOiEfuGPiz2LMgsEDqDKJ5glORxu0HZQ3f5MZ1rwP7L9LX77ToGpQewWYyiB4AgIxaL8KPDZQA1C7E9JOSWGbRyC+UM5B2Ssux8RkUvd7IRIXAhlRoOyIELL2IohZwDUAxCEdhE4/XFIDnWFIaBA0QPEAHAtsZvdXbyCblpcWT2kT/3LrS+zwlnHSCK4JWHAIlCbxyBkIS5m4Nw7XvSKPgwkHJNshnHuepDNgjIJ3Fux3QGdUSgEdZlijg10paKimoqYBBk7IOWQzUFUvBn56ViI3lrJcCtIJsUHZRlNhbrMsAC9QcDMwIQaFuX6c7xlmCM5UtLUJCbDZ5G45cUIm7HPpSEBeL55/XhaLReqXJd9RQFGR7Kevr9Ah0WaTZWxM3sTHxoS0TNfpu69P+kBZrTJT/su/SPXVNIRieLiQ8UmndEa2H8e+81dSyqMoMhufOCEC489+trDhL34hx+lyYQkEuCb2DJ2lDXiGuylzRrC3D8OGiwrrj47KsVgs8u/QkIQQ3oZANZWSSEde/9vcDFddJVwwFCoMnckkH6mqBUKwaLFKV4eReMDKLG+aRx63YjSqZLOil37tNdl/dbVw13BfgtGQiUhMpboyS4k+zMCIF7u9YGtUUWHi6qtv5utf3wbA5z//fe655yNs3Soky2SS1FNLC9TUKBg1lRM7BkkEoqgKlJst6NkqQMHjkWDgyIgVgxvUeiduG1gTcMcd8OijIs1yuUS+dAYMBiGlJ05M9m3QrTbiMTmvdFq2z5tOT8eRp3YHgXN448zgXcVr42LPr/gBE2xXYHHlm2+XnYDw/ZDuAmMz2D8M6uneMw0IkQ0grsAq6GbIOkD1g5JAasumu8eA4S0wthWMLoiekO7iVdOsOxYQcuPJVTQOD8ORb0L5cTAcAs8i8UzhMWA20kQTCI3BSBfYcy3rgllwzIPkLvFoyZjkM005kp9MwrFD8r1QNQgGoKsdWhe/+XidC4kecYvW02IW2PhBMM8DvyZtHwxp0HOkMJuRRpMldnB8CdgA2Z9KZde4BU7YIZrzxMlmwToApqAId73zYVyXVHXcBM0RCB+HzB4IlUkV1aEyMDoW4L5gEWO7tlHsa+Brn3uJBVol1b+CbBE40xBcBu0rYaMblAF443WJgCmqVLL53VA+CtYYTKigGyQd5iuGuUloqIHyebCwTc7RuQQs0/QiLi6H1ethdFAMSSvrJK29KwzPLwbjBFwYFuNI78Lpx/dy4GtIFCclQ8Z7HSieIThTkW/PvHKlpALSaZl5pn2dnoLDh6W8urJSvo0/+IFoYKYSFU2De++FBx6Q2frWW4UQjY7Ka7bTKe50n/zk9M2njh+Xb06+z1Vvr7CAaQjOKb02J/zoA4Oi74lGC+5zPp9MlFORShVmO03D68rg/fZdktYaHZN9bNpUEANP19Tz9Iqdt4jubujtTlPuTkA6Tft+E0sWW7j5ZoWHHxYONWuWkIv8pL50acErcd4CA2BA12EiKEMWChU4l6LI8KsqrJgToK3HSrkXPn+nnx17NL7/skSKxsdl/dZW+OIX72XWLBMTEyof+cjHMBhEjhWPy5DYbEK6YjHYsiVOX5uBjoEyImGY3xBB6w2za7eTSy6RyAoUytCjUfm8piZYtapgYZN3P9b10yyYTKZJt2xdL/RrLS2V8ci3CluyZHrikhcA5jJbk1GfGby3SGXBVwJpNfeu44HmJW++XeQhSHVJuXPyGPAoOO88baXZwKeB3yKdx22g7RXbf9UK1INyK3CWKq3wMTB5RFehWiDUMf16p3/V0z2QDoOxSNI0wT7wzEVe2cenbJc9dTtFgdI1YG2EtmekJQJu6DwK81fI+jqF74CqnLmP3wWBJ0BpF9KXMsOEArO/BDcDvwbUIrioBazdkEpCkRNqV+c2Xg3qajk1VydEfoqEJ4aEW44Dbj/YisF7DNSktF5otkLDCPz3YVAHIW6Fml7xyUm53dzx0nM8+5F7+Miyf6a5sQYF6DBDmQGoAb+8K7E7DAc6IJOQ77k/DUfi8LoFLq6DisNS6p41gd4IobSM6/utUHaTePiggLFEInGxiHQAn5qq9hTLAtDZCy/vl15Zdh8EKuA3UfhkMxSfJZ26EPhboB25DZdOv9q7ihmCMxWzZ0veo7tb/q2qgksvffPt8iETk0mWQEDSCKdHYoqL4TOfkZ+zWdi4ETZvlv/fuPHcJdX5dg6pVKHZ51nSQcXFIu1JpYBEhoqJTnCoMpN2dsosGA6fGSa44QbRH42MyNPrnntk3bo6yQGBEK32dhG8+nyyn1is8MFvMxyQSaRRkkmUCT+k0yghK5n9nVS9fz6f/rRCJiMT8v79cplKSuRQpkLXxeamtFTcjMNhIQmLFhWq3m02cJQWc++6bhRdZ3xQ5QdPN5Ax5Rtnyr6dThnmO+74DK+8IperpERuDY9HLkM+kvPMM2BToKvfjMOawaxC94CF2R6Fzm4ZwuXLhYAEg7JdTU3BWinvm6jrwnvzJKuoSFJ1Dzwgv99yi+iy89X7eePhmho5bp/v3D1VJ52qZ/A/hjUeeCAmQlaTF64slgnmzZA6AVqxiGw1r5CKabGCSUWnNgGm5yDVBywB65pzmAkCllIIdkjqIhUAS8n06/lcUOqBodx9aolChQPICDFKjwKjyMzaUNjO6QN3OfgH5PtodUrTxhO94FwGFqsQmJOdMHeZpKRqZ0FPh0QqNA3qZp15PG8V+gHI9EiEQYlDehwco3BVsUQbFANk7oDRzZJaKloErtPqP2IZaPNAzA36kKTyDElQc9FUox18VVAxAMYeGZuOUtjfCC1ZKN0HegyuHoRZG8DtcuH7xf38qAfMBrjuOFSNQ2+zdP0mI72s+sdBnRCCPJirHykbhooobHbCh5vgIhdUlcDrSTFcvKYIynPfe1NuqonFYMtWCIVlXJcsgXY/9IyDzwEXzwY1C7sOSfNPVQF9HMrnwESNdFxXz/HIb84t/1OYIThTYbHA3/yNzJ66Lq/v51M1VVNTCBUkkzJ7lJzlqZCHqorF5erV514vjzlzpOfTY4/JtnfdddbGnEVFBYsdk1XH+voAZCwyK4MQkdZWERhPxdq1QrIGBwul5W1tMhMfOCDraFoh92G1FpSxBsPbK5/Poa4qTZElxuCwhq6ZqPAlqQi3Q6Aaxe2elAwtWiTLdHj5ZfjRj+QyVFdLpMXplEnf75cq+t27YcRup39sDuXeFCcGjQRSBhzmBM8993+ZN++vufRSG4sXy0N42zYZU1UVPmu1woYNQkI0Tf5PUSCaMZPOpDGSQjXohKNmxiJmDAYhHvPmyXr5SzEd4nHZb56EHDkiQcH85f7BD+SWq6go2A3lzbbzqbUZ/H5jlh0+VguDCXAZoP48r5lxtqRyVB9kR8EyrT/zaXCDdnMuMnIeKLsUUmGInQRzKVReNf16mgbvWwz9ozKB2kKgb4NMEWSbwZ4nNhuBKY8q1QALLofxk7kew5Xie2OywFhbzkjODIbignysdZH0fUolweMF+1tsCTEdnCY4mRbhLGawpeDIblh9RWGsVBdUbJx++1QWfjok7sTqckhuB7sJrBEhLQ4TZGsklad45fjNQTiWG5vOxE52Ro/QfM0d3NQInio4CDxph8YyGD8BD9bAP3hhzWwIxMFjhb37QbHkemhFRZStAtmcg3oG+MxSMOVOYs45xuBwm5CboiKJBj/xOphKwGeD8Qi8dATW5cipyyil9FkgFJPydtfveXp7huCcDqtVUlRvBU1NUhr94otCHj7wAbnTzhfRKNx/v5CJlhZJX00lC9Eo/OpXEjm58EKp5nqT/U9qMDpOSNRlaEg8d+6779xC4KYmWfLId3fs7RXSV19/KrEym2Xm13WZZR9/XMrQKyslvZdPqZ0nbE6ND182xvFDETAbqa9KkQkUkRoNYSuaUqYBk2X3qYkw7Y0b6Gu8mIpKhWefFZ5WnepmY/8viAyF6Wy6kl3JS2hqVqirE6LT3Q09PQbq6gzMng2HjyXZtu2DDA09ydDQa/zzPz+JpjlIJuXLn+vLOVmZ5nCAwy5OwSaTKn6KKY32fju9qgldh0jSiOrWyGbhX/9VZE/33SdBsbNhaqssEGmWohSIi8MhpGdsTKJUXm9Bw15ePqU8fAa/1ygzy/JWYL8xF1npAsuFYDsL+TgbgkPQtVVM9aoXQtlptRPjo3B4L6S9MGsV1Mw6tyDdYIDactnfgBPGLOK5UnE1OC7nrKILzQglDaf+n0+Dga5cX6gMNFRMyYCrUFoOB8bgxROgK0JMMjrMd8PK0rdeemxbDbZ9EHdIm7qjDeA/ClWtUFtRWE/PQuo5SL8B/R546BZpPrk+BQNJqDDBwTnwaiXYA9DSK6aGoRj4ToIWBwsQSEHTGiiLwsvde9ly7xUkgn5umhXDe+HdgEijVKDIBy4vaLo0o6wAym3yx8oSONAOE3UibDamIGqC7vnQp4MzATeMwmUW+LSz4EU0HWKxU31ng0mozb3IOS2wLQFtURjzwtwJqNRF1uUogg+W5Ejs7zFmCM47hWXLZMmhv1/8TEwmCYycU8bz7W9Ly4Z8qCCRKKSyQFopvPGGzGZvvCEz4Ec/+ubH1NsrFroej5CSPXuEHL0VdHbKtotzir6xMSlBylv75lsB6LrUbz/+uIQWDh+Wkvd//Me3JvIwGrHX+pgTHCajGtFjSRKqhWRQxzAWwlScG8hQCL7yFVAUBkctOHf9EMetxbRHFpBMghIJs2bPVxiZUOkL2Fl1+Iccrylmu7+VFSskILZtm6SKJibA709x6NCHGBqSRtHDw6/wzDMP8qlPfQyjUU53YkL4XDyeMws+cACefRYyGUrWrePuT6zhJz9VmNWkUV6uoWnCK222QseKUAj+7u8kwpRvGwXCZ/MExmyWiSMel1uiokJIld8vb821tbKursulsFqF1ExpIj6DP1KoVrB/sPB7VocdCejNQq0Ky0xnn+iTEdj7E0j3S1rhSA9YboWinLg5HoXtr8k9pmlwYBfYXaIVejMMboaxA2Cuh2QA/HEpFX8rCHdC9TwhLqoCyZOn/r0nBC/0gssEeyfEfXhRCWwaAqsBFr1VYn8jmI5D/2bYPRsipWI0+OSLcOf14Mi9Y6bfgORjEC6Fo8dh0bfhhf8NP1alBX2HEXba5LEdKRMPmcZeiPfCRcPg7QXLuLgTdx6B55YdZNOtl5EK+gF48f98Ef9dH8Tr9VCPVKSNAykFLAqUJ2Dk12LGZ3BD081As5A9iqBSA7JgtIE1Lk7IDMHDFvAo8BEHtB+TOhW7Q4L31lxiorYGduySaqtUChpKIZgAgwqHMnDSCcWaNBZts8N1aWiphZK3Xyz7nmCG4LwLGBqCb3yj0IFg7174y788i01MNgsPPig/2+1CIJ555lSCc+SIvJrny4IPHTpV4Lt/v5QIFRWJriav/cnXiufZVTAoxnBvVhU2FQ5HrizAWmjCeFoqStehq0sh82QbnrQbp2bDUmWX2TcaPUMQkhfHJhKFjNcp0h2fj/GaCzD096JbXaTtRWQykIlN8ZofGYF4nGxVDZFRKLKO4xg9jq12AevWwYEnRjgZ9fByyTUkfCbGQ214I71Y3K2k06KVLi6WITt5Ms2mTXcwNvbryd0vW/Y3WCwfJZMzAFuxQi5DKCQBrnrnGDz4G2E+mgYvv0zjbZV8/OMNRKNCNrJZGfr+ftnG4ZDVh4aELKXThUs4MVGQcRkMQmImJmSs6upku0cekb+1thaCcMlkIT01gz89PJuA38TFr+8VYEKHK85iRxU4ArFusDmBLES7INhTIDiRiNyzjlxwOBKGifECwUmn4WinVDGVlUJ9XYFMhXulF5NmBkux/P5WYXJCMghmj5SIm04LUg9FQUtDphPSmpA93Qc2A/RFpic448AvgQFgFXAVU8qULVDyRXjiEQgPg80OqkkeWaFwgeBku0CxQ8gmS3UflAalNLzFDY8lITMIpcOgZCFtAu8QxD1S9m4OQsoCoQroHWjj2dsuJTUhLc3MDjef/eJzhCY8eL1QB9wL/EYOj+sBZRNED4GxUlphjN8PC+6F1R7YEpHnhiUNjQqciIErKPohcxBez8CFJpky7A5RH0TCcMn7JCpWUy1+N0PD4HTIc2f/CdHgaA6Y5QKLCpUWGDBAa9nvf1pqKmYei+8Cjh3NkvJHqXYFwajRN+hlYMA4fZ/OaDRXz52zls1mz6yiamwUluR0SkTF7ZaU1bXXSp7lq1+V2TMWk1n4H/5B9lFWJvuLRgstsU/vU/RmmDdPDAFffVV+37hxsoonj4FB6OzUKa1oxNO9m8N7XSys9aPlS4xOQyIhh6SqBaEsyKnpyRT1rnHMHgdBSzFmQ5qMrmIghWaZQqx8PjAYUIIBLIqZTCxFzFdNPC4am8tW+PjuPZfhCkRJpkKEiqo5FqwkkZC2TTabREjKyjK0t3+UsbEHJ3c9Z8691Nb+X7ZuVVi1SvZnsRSCWAB050IvZjOJBGQSGspwEEezNNjcs0cygxs2CP88cEAeRKGQkJNoVNZJpUSPU1tbEAtDoedWHvPny5JIFLZTVbmkM5qbP11sCoH5OBABqw+21Jyd4BhiQkgyikyAcGoGyWYTwh2PSU+20TGI6+KQW9cAu/dBb5+IoU/2y1t/S+5RYK+QCI5qgEQA7OdR8n46qi6GzscgNiJEqe7KU/9ebIFYh3TiVkohEYJsH0TLc+mb05BFypQHkVYBDwEWHWZ159w6VGhpgOoqGB2XyFEsDhbTqe9wai3omyUtYwtBxAHjTkCBDW45358PgFmFmFnGecMTEHOA2yfRMqsdhsPt/NsP1xNKDAOgOVys+fpzdFcu4dhvoe5OwAGtyJLH8CCouXfEhAkyw9Afg5e9sMcMb0zAxWm4rQq2HpFjMAMpAzgC8JAHXl0mJoBXDYDeL1VbZnNOD1ghSx7LZ8myOQxPTkjbjFBG2izY/sAqLmcIzrsAR8pPJpxFL1LJJDPoEwEsJg/TyvxsNslh5Y1V7Hbp5zQVH/6wzGivvSZhhyVLhNjs2CHhAZOpMBv29kp0o6pKBMAf/3ihJfYFFwiZ+vKXpUR86VK4885zz5CqKlqaa66Rn/NClDwUhU2b5W0ntX4DXUMTRF7aRmxhJY7PfXza9FQ+cpH/UzIpBEAdH6Xu4X8j5h/FWW0iddf/Im4vxqiksJXaMfkKr3QhtYj0Xffi/vWPqCoKc2ThhzioLSQ9JNynstLFaPVirP4daOkknVoTfaY6an2wf3eaJvMJ9Bjs7flHDh/+2eR+5879DHPnfoVEQmFgQDp22O3TNEQvLgaTidAJP30DGsa0QntbObM80sz9xRcL5/aZz8g+duwQzvnRjwrpSaeFOPX0yCU8H7mS2Szpta4u2b6h4cxLMoM/Deg6ZI5BCPAYYXQCnAbAPf36tjqotsNQzviywgm+KQpUqx2WrYU3XoNxP1TVgLMI9u0Br09IjTsng9M0ONFXIDjla2HiGIzskqqrxpuF8Ay9BihQcQl45k13VAVY3DD3dkhFwGATnc5U1Ftg2XE4VAuz49JQNK7A8lZYNE3KJAL0AfmvbgLYNAbBvVB8AvQtcNwIy1dAdC5094PdAleuLXTBzuoQWgXGEXBthdk++PEHYWAErhwAazUsMEGlH/q9YAhBbQ+EPJAsgqNhcLRA2fEu/uoX6xlNSpMxg9lO89d/i6FuOYM6POWCdf8K1v8fsU2eAmszRA9D3zhExyHlg0fHQS+BpYchGpF2CEEdbtLhyYSQnNkRqPHAy+Vg64esDR4sg7uD5+dcvsoOE2nYEwWPAW7ySPuNPyTMEJx3AQsqxrhpyTihEPSG3CxaplPhczAtwVFVqdz66U8lfbRqlbgUT4XTKSLmfO4jrzgdH5dZMR4vtNRW1YIAOZ0WsW9VVc7WMi0lOP39kqbaulWiQR/60LlPSFGmNx/MobhY4cc/VqipMTMUv5PU8jsxXwurSqev3DAYZOLXdX2yTZKuQ+2rP8VzfDdp1UJ6zI7voe9Jru80YckLL4hkKZudzZIl/8Kn/glGXoORnZIS2rJFIh228iJeO3YZqlVOXcuCw5TkssPfYFb8EN/wb2WL/9jkflesuId1675JMKjQ1ycPgbY2adN1552yb68393BwOuHDH6brW6+hedIcr17FEGUk2yTDWFlZMD/bs0cq7u+6S9JTfr9EcoqLZRzyjbynsz+aDnmfm3NB1yUcPTQkJKqhYaY0/I8N2TRc85xEWqJmaay4PgDMnX59cy3U3gaeV6RM3L0RjKd9rUvKYcESiWYU5f6mKHKf2mwS4bBZIZ6A4ikpoYmjkI6B7wJIReH4Y+KJY84RjxPPgLXk7CXneagGMJ+FsKtmWKzCojboq4aX7GCshnqfuOieDhvgAUaA8hC426GuH2wZiHXC1ouBNFwzCO+/AKx/dur2sSx8PwLdadAuhVuvhgU6XPmUkCtVg13HoPYy0crMOSruxpYABH1QlgHDKIyme/ibJ9YznBMVmQxW7rjlaSr61uCPQF8tjPlgix/cb0DjSqmAsuUiLI7lMDYBEy+BYQ60z4GDMajqkvYPFpdE2g6fhOsWQk0HjPaAZQS6LwBnJdjdklrECU0rz08WaVDgarcs50I0BW+chIk4zHLDBeXvXa+pN8MMwXmnoesY/SOsaxwmrpvRskOYSj1gPEerh3hcTFLyZGQ6xGJS29zdLeGEBQvEo6e5WWbh7dtlhrz77oLmRlhEYeZMpSTRXpbz2fZ6JS/0NnHxxcLNnnlGJuvFiyVaoWnC106H2QyplLiEmUxgMUNjg47r8BYM0RBZE5gGxyEbJZ3MEktqWK1CjEZGhNyUlxcaUy5ZAkePShArX+HU3i7tww4cEPIQCAgntHfso2xoP/8ndYzngwVys3HjXdx223c4cEChuFhIQVeXDFdXl7TfWrJE9NZf+ELONThRwb7Zt2A2C5EwRArmfbouDxGjUS6D0SjZw74+OY50WuRWecKU56DvFIaHZUwsFiFT4bAc/4yp3x8P1D5Y8IpEMbIGWL8N+Iezr5/JSHdo9SZpumg8C6EuPgHzfyxalYFVYF4MThesXAavb5PvUlERtE4hUqEeMDrAYJUl0A4Gu6SaQISziXN46pwPFAWKPgo9D8NPakSrY5oF/xYPzXgAACAASURBVBWAez1QctpspgGf0+EnI7DiX6B+HHx+2FsPTy0GoyKi4l+VwKfCQloyiMZEUeC1BHSmoUaV6M/9Mbg3BukkOHLkLzgOtgnQFoP5MBT1wZxDcMINiV4YCp/k355ez2hIDIvMmoUvLX+SusxF9Iahql96QvXXSl+u5wfhyW0wS4H5tdBaByNhmJgDwyoMqTCahMoxGLSDJStpxkYAXdJr61vh5SPikeMbhmEPtFSCuwJKgXfAQmgSug7PdMBgCGwm2NQrZLP1HJZu7yVmCM47jZz9rOL1Yo1GAZMQjrMZ4G3bJv2v8rPbZz87vcHLD34gzKCpSWZJTRNxiKLApz4lIQbTaVaUeeVpJlMwlCgtlfyIzycz7CWXyDEPS16Y0tK3rFg1GCSrlg8oqarwse7uMwmO3y9dwQ8ehKs2ip9LbS0U26JknHYyQypWLYGWTpAoKuGxxzTicSEFl18uhAMkiuFw5Dt9SwroyBEZal0X4lBSIuuUlckEf/QoaNkUKXOaQ6GuyWO6fv01fPzT3yeTUbHbJfrjdst5GQxyHopSEAh/73tCHJJJOZ58vt6Uu9TNzZIBzBMZh0OiTnv3yqXIZCTNlM3K5brgAuG27yT8/gLZM5nk/PMGhjP444DSC87qXBuBmLzx285CILIZ2PsajPYDiuhJVlx2avNJAPrB+VPQaiAQhNlbwXJt4T56/2Vi2W80nvqWbi2DYKdU8qTC0m9KT8nP6IAKlpx3T6YfVI98xluFoRSiHwdDAMpzj6m+NPSnTyU4ehLiL4DzUfjccTD7wXApZKuBMSE2Pr8IrsdMsLkGDvfIoS5wwLWlIti2ZMHdBWoCAnWS5gmnIBQQIz49CMkJWFYNu1eBE9i1CIqehqwC3eM7GQ8KuTGoJr65/DHmuy5lUAd3VMrd7VFY+wZQBAPFYDaCxwT7u+HIKETToA6AeRDCNjGGnB+AkjJIDEFjCEoS0jYh8jy8VAonJ0B3gmEErtDhpAvqbNJb9Tyc3c4byQwMhKA4p9/K6tATmCE4f7zIl8Lousx24XChpHo6PPhgwXo2GISHH56e4HR0CBvQNKioQI9EAQUF0FHAZj8zAmAySahjZERm1eJiSXXdf79oda69VlpOv/KKzNwgrGD9+ulJzsmTQsjSaZmV58yZJGaKIrsPBuXtLu/SOxVjY1K91N0tdjoOB+zZK2TE5rGQaKwlZTSRTcVIpBK8WnQdI90hatxhwlkvW7eaufRSCV7NmydD0dQk6ZeHHxZRbyQiE3lpqUiPLr5YglS1tbJu+455WA5W8J+mS/iLvhdoLqvkvn/6JX1jGrGYHEs8LvsZGBBz61BIHugWiwxjV5e0ixgelt8TCYnAzJ4tHHTdOhn6fEsITYOf/UyqoWpqZP89PaLXzjcKf6dht8slzdsTGQwzHcP/6OCVe8tbz2SbAM5SQxAYg9EBcOaaewbGYKQfKk8vfBgGFOnkbSsFehCRTw6KMr3jcslyqYAKtElkpeYqSAVh6HXZpvxC0AIQ/haQEm8Zyy1gXnfmvjIZaN8Jg11gdcH8NYWICYBHFQFxUpfIUBZwT3l/1HWI/gRiD4EeASUC2SikDoJpOfiscHIhTISgNAGqEY4fhUoHpCtgXxbmOmCxBokHoX6X9KFqKYbkx6T3VGBECIcjIeXa83eD+TbodELrLDi2AFI9sLLuA6iXPsAPXrmTz9z+INkLr6T/DRnjhSchawWHFwLFsG9trv1LTp8YTIkeydoJFzwJpKHZDDvulISAFoU5Lmg1wdgmKI7CsBl2R6BWB0WHWBqqe+GuhfBu2GMZNTE0DCfl32hKxvf3BTME552Gqsrse+SIzJLFxWfO9OcDXZeZ1WKR2XL+fNi/H724hBf2FPMo12P4bKHDQ74T9Rkmbw7Hmb79n/pU4ef+fllSKQm7jI3J7D3V7A+Esbz6qoQlLBbJDbndYtKSw4YN8PTTMrHX1Ih2eioGBiCV1MlGE0SCRoYGdIp9Kum0QkzVGLvqLkq/+w8kR0bZ67qI15NLSR0OkHDGaSgZImpoxmy287GPCT+LRuWc+/rk0C+6SIJT9fVCcPr6RP/yH/8hl2XrVnC53DxpuI/qkd18dsWdXPi/1hHJOCgpkePz+eQhY7NJk8/jx+X/5s+Xz+rvlwdwf39B05JOyxKPC/nJS6IURXhgnhwdOiTXymSSW+MM4fI7iMpK+YyhITnOBQtmmmr+0WE+cCPwBJKn+DjiCPdWkQJigCO3vQr4gTRirfsNSL0Ar62HHh1KXPC+2eCYEg3UjFC7AelxkIO1GFxT8iGR74A6DqZjSGftHtBXS9uJqThxBE60gdMD8RDsexlWf6CQXq02wg0OeDIXzb3OAXVTyLseEDKDJpGipBGMcTCchFQJHFgrJe3jAciMwmX7wDMAlhj0toA+FyYugxUpcO6H/jowK1DbB1u2QXEllBbBsWGJuFhNUDwI696Auy8XwvXlCkh5IWKBue6b+LelF5GsLyUKaPPAcRhi1TBLg7piePYi8JvkOIdj8FIMylQIa7DstxDzib+NVYXFO+GVCqh/AzYekaaelnJQ50NKhawR0vVgGgAlCY4LwDu96f3bhqrAxmZJU41GodEDS9/haPTbwQzBeTfgcIjpX16IcS7ccovkPPJ2tR/5iMzc3/qWkCSzGf78z6Ua6he/4NiOID9P3EjV6jpiKfjud+FznxMe1d0NtsgI1qHjQj6amiYjLNlszjhubBRLNopSWVF4pQ+FClqdUEg0PdMRHCjkOBRFwjVTCI7XC7ffzqR3zOmwBAZY8sg3aTp8kqjZza6ldxOKGlj473WMhawU9R9GczsZ1GopC49zS9/XeL7+Ewxb6yj3BKnUAgQCdsnUNeqoJ3tQDnQzMlaKnpmN2Wxg4UKJ4MTjEtnJH3ZHRwcrVjSRyUB1tQddv5TFi4UYZcblMuXL+OfOLciW0mnR8/T2CmFobRVy89JLMmT5Sqg8odm0SS5ZS4ukz8bHhdQsXQpPPQW7dsn43HHHu1verWkSYGtpKWQnZ/BHBgW4Drgm9/M5rnGRD4orCikqpxtKKoE24D8QgtMEfBb4S6SmejtCeGbDyAFw9oP7bhgNwatHYW0ZJOPgKpHO6HkEgOEMOP1S3TUpGo6AaTfgAt0OhnZgL2d0YQyOStsGVZM+VSE/pBPSziGPNTZYlfv9DEGrUTpt2zvENyZsh94qsF4oUZbnGqHmYahtgw2/kq7hEyXQ3QDmEVDcMLQJUkullNwFpI9D5iSo8yBWBqEojNnBrIsp3oBDSs39fj/ZbJaPVfv4dSWEQ1CiQYu3lHYTJGKQLoH01aCXQ22uX9hdiJfPT1Ki8VEA3STdyYlDUpXGmWkzLLZBzUPQb4NjldLTynEAwi3g0KDFD72LwTQbbBqsq393v/8ldrj9glwm8vfsOTNDcM4Xui5l2s88IzPaLbfIDHI2nO+ssnKlvG4PDhZExo89Jq/79fUyq37nO1JN9MlPMrIAtB+C2Q6ZnJdMMJjz7jt+HPXb/wwkhdHceCNcey3ZrEQieOF53L/5OdlsDJvPjnJBq4Ra8sKQbFbIWd6YZiryOqJIpMBezlJZNW2kYPduGv72CyRPDmO3lTOWybJix7epWVaBY+tiYiuvxtjTjp7O4Er5OWmuwRUfYp3/CZ4yfZSaRAceowe/v5Lqakh19qJuegXMZprTA1y1qgTdV4zVprJrVyHN1NIC//7vX+GLX/wi3//+Axw6dIOIje2iU2ltFZLjcMhY5o328lBVITF5659kshAxO3RISEwoJMTlu9+V7auqJC22apVwyEBAgmJf/7oQHq9Xfn8vMCMq/sNDJgIjT0G8Byz1UHIVaOdq83Ye11jVYPFFMDYk6SFPqaQX+BZimlIMHAOeRIQaXwL+mkn9zIQDvMPQr4DLCkMHYc9uMYszGGHxRqnUaQe+loCaJ0A7CVVDMPckNNvB6oVsCrIJSZ+odaAMnXmsnnIY6pH9JuLipnyGVojpJ9NsCsZ+AeYDEElD2iLuvv1LYMvlsLEBzBFxFl62HTJG6SReOggZA/T4YMmIpKoCNnAuhtiDkA2K2Z9xCJ6ZD1GvdOle0C1REhTQfQGuuOIKkskkD33rBdYMlxCOyfj1XQwd/UKGZjuBBFSelk6cSIr+piZXI3IoBr3lMHYjXP84EmmbgF8vFH1QXRZ0FUZLYQ0w4Zdru2EJxOdDQocqKzjeg1leUc7Jr//HMENwzhdHj0o757IymeW+9z34+78/Z/n0eaOm5tQ01vCwzMCKIv+Oj0tUx2yeXG1iQiZxTZNgTSIB3i2/QTOoUFUns/Ljj8OGDQSjJqKDQWqe/SVpRxEJtQhrqA9l+3Y5L49HyFr+MyumiXPbbFK1tWuXpLPWrTvDNDCdhn375PCrqiQtoqrIDP/LX6JlUlgqvZiOd1BSHkYzalBWAn4/vmKFZEUZyoFduM1mRpMJQgYfxkSE1Y6DlBtDxKoumBT+qsMnyJpNdI86ibnLqfcGyVR5yKoqa9fCzp1Syb137zf50pf+PwDuuutmmpqe4aabLiMel8NKJApSqZISieJMJQWKInw2Hi80MPX5hDgZDBJoGxwUspSP5pSVyfoGgxhLDwzIJcxLl863HHwGf5oY/Q1EjoKxBCJtQiLKbnr7+1W1XNQmjyhiFuNDZicnouPJ4wLgWaAUfAFor4d4SqIS9lFw1MuxRf3Q1wYtq+CnQGkbFJ2Abhes+S24+uBEEVSmwFwOJg8oLlBSTFvSU9UCqQQMHQdfBbQsl885BX2I3W8auJJcGRGEd0JiH9g8kCmFaAiSZRBvAUxACj5hheeykg4KVoK7XziiPSpl5Vk3BOxSZWb+MMQ3gzIXwgl4fhY0jIO6AA4oEqmqGQOHJcRf/e0Gdu7cCcBFt1/Kt760k4VGE3s0eMUPjXNhohsOx+Dm2dB8WoraaxY+GU/DBHBUgUoj9C+FH5aLx86JSilzn9cNrl5oCMCEEfSPQdV8ONgtguuaILRUzERuZwjO+WJoqNBXwGqV1/bR0XeG4JyOpUth8+Zce+qopItybm51dfAXfyEGdAYDfOITMqmqKpRVqBgCUn6Nrk/uLpMBJZmAbBbFoGFMR8WG1GSSc/H7Zf95o5f586c/rpISEdqcBVu2SFbNZpOIUTKZa8+VK32KN7cS6x3G6ghjGRqACy4gHEgTrFmBO6Fgu/Ea6GnHeOAAc23dpBrrSRSVoi+bQ8xVhLnIQllOna+6nPT3JjnQpdN0kUo4kKE/qbJspfC0Cy+ERx/9Hl/60l9MOfy1pNOrOXRIAmeqKmPodEqkxes9k3woioz5yZNCWjweSQemUpKmGhqS88yLeh2Ogv5lwwbJPB49KmmrsTEhVcuWzTx4ZnB2xE6A0SeeMEaf9DR6V2AFFgD7Ef1NEFgx5e83IbXWB8F3DfSsAFMCWsoh1SuTsRQ5FN7eY4A3DknAkgT3qERGUlZIGiBuh9LloMYQYjJNEFxVYdZCWabFBJALVKMBe4AvAxWQ8kPGB0mTNLnUklL1dbJEqqa8o1DRAPHrIP0KOIfB0gDFCoysgIkawA0tTWJqSBbUCil7DxtF2GwbB2cWGstBtcHsygj/+tcb2b79jclDXHvlZ9hbZKIqDsNWsGTEDqN8DgykoLr0zOhqhQ3eXw2vD0npv60WvBZId8CBSnFPrhgHJQGjTiivh6QGqgWMi+C1/TA8IVGg3mG5Jg2/R3qY/wnMEJzzRWWlpHDCYZndNO1UL/3pkMlIWqunR175V68+v5ltyRIpF9+2TT5j48ZTvg0LF8pyOiJcxf4OjcyQTkOiDfcN14PJhNMJwyU+og0LsBzYgWbKiPlCvtbZYJCozXSmNW8BnZ0S3dA0IQxdnVmWLcyA18t4SQsHS1vRa6Mo4TALlEOEaufzyNA60ju8mPbDZZe5SFz993gWH6QhfhiT14d57VrmGa2MjwuB2rkT1qwBZ8lcnt4/QkW2n1C7BnMuwapI126bDR577Id8/vMFMXV19RpuvPEptmyx09MjJGXDBuF3+ezc2UqoTSZJKfX3w+uvy+WfN69gdZ7X3+S1OH19EgkqKxPSYzLJ38xmiW5t2VKo8j9Xgd0M/jRhbYDIQTB4ITUmItE3QzwE/Ufk/qtokQjGm0IB/hz4LdKsaSmwcsrfzUDOA9SAcJ8VyGfs6oPuQ7kXAw9U5TxxNgIPNkLjDtAikoqyBcAWl7Lq8RbIfAbUc6Xc3gy9SPQpHwHpgXgXZErA3AhjD8CQXciN5oOJe2BJF9QeAIMGeissuwHSfw/mnaD7Ib4S5l8EDVHRGA2F4EAPzKmCyGqIbhHfnOog7F4on+/0wF11Uf76Q9fwxtbNk4d32//+Fhe9/26O98D4BJQmoWsuxLMQzoJTk2U6zPfAXCdsaoM9vXDQB845oPdJK4iUA2IuMMXBNyDi6IZWSWsOTYDXkXsmZaF3pwigTV5wL5ZqsT81zBCc80VzsyhDn3tOXtc/+ME3n50eekjKiux2MUIJBtGv3DBpBGe3g4IupjD9/eIi53ZL9MZolBYN+a6Kb4JkEl7uqCW68g7UcJhui5HLLyrCiUywjc0qwc9/FnXLy5iP7UZtPyqzrK4LwckbDOq6mLjEYoW21ecJt1v0QC4XZONJVlb3QofUKHesvBVjbz+mlJVk+WI6Sq5j+3ZoH4PYSfm4Rx6B5maFdLqV669vZelsCHTKIfzoR9DXk8IUC/LywzpzW9L8dmQ9obEkReNG/upijZISISr/+Z8/4957Pz55XGVlK1i79mliMSdNTdI484orJDIzNCQEp7LyzGKzqTh+XByNIxFZr71dqun37JF9xGJyi+Q1PZkM/NVfFcrYly+XYNzBg3JJVRWOHROZlMMhQbSxMSFeM6TnTxvF7wdU+H/svXeYHPWV7/2pqs45TE/OGuUckBBCCZBIwgTjgMEJ5+y1/Xh9N/pd3313vetre/fuBdvXrNeGNQaDwQaRUQIFFBDKYUaTc+ju6Zzr/eN0T4+wCL7ru+8idJ5HT6unqyv8qrp+3zrne77fVDc4F4P/jZOmAGSTcORJIfwqwEg7LLsZjFbxazJawWiRss9Qr/xGqurAegw4hzg83sLb4vIADPfDcBDMAVmnuVbauQE2AlUV0PMBiB6H8D6wngJHAcI2yFeJECCAnkLa0K1Awx+Q1XQjbfFZ2efXKmB7AQqnYH4SZnrEu0mbLVmwORbIHIW9AfFVqn0ZCiNABQwXoGMp1B2EGfvAsxF2JiQTFA0Kz3pGGPRFkizKGCGpiqBeNJfi/e+7he5d26d27cpPfx//FV9gRAFvGyywQ2UFVJrhQAJqTXCLS8DSG8Uz++F7AUirwAQM1sIWLzxtgphV9HWWROH2E9Jm/rswHHlN1JDXJKFOBb1LSNyRAOTTkBqB2psE+ESC8ur0X/ydlZcAzh8QhVWrSSxcTT4v+MOqX+BHGY8L2cLlEn2ZxkZZOBRCf/55jlRdy7lO+VJTfY5lQ1tRn35KVhSNyvf9frkL7d0rxpn2t37cCYVkYvVWWwEroZBIuDuLNx6TCSrqzPD+66BnrrRcHTkiyGj2bKZqP7/5DTzxhMzAgYB0dQUC8q94sH198G//JrySDRvKNlUbNwoHe3wcVtUOU1+dm8oSFdI5lFmzpMMhK4d39qxM+lZrOevR3CzH8eCDMoRms+jZnDpZoKkyg2I3MzKYx+rU+du/zrD/iIXjx2XoFi2C++9/iK9//WPoxRJdXe1SPnTnMwwNuUmlhOqUTksWJRYrk4qt1je+wSYSArA6Oso867o62c9f/EKwq8EgGZl775VtlJZNJAQc+XyyDYej7Dk1Pi78nXxe1l8oyHc+9an/PBLypfivF5oVRq+BbSEBLNfm4fVySXoBcnHQTBAdh0wS7H5Ah8gQjJ6BsQ5Ix6QN270R9g+IdosnA+EHYEEHGFwIz2YMuO3t7V9/N5gt4l2l6zAxJrc8o1H2dz4wPwCsAv3nENwMk1EwZqHJJXwaPQL5fwC9SHrueC8kroFWA/iKQEvXIb0TMjuE4Gt9HxiaEUB2B/BrCJtg2/VCmtYUIfLWWaGiqWgxMQDxBPRnwKiCbRR2V0K4AqorwNgBS34JFVGIGeDoBJxdAZMFcNkgPgYMSNeZPQ4dlTBbBacnzQ8+/l5Gdz0/NS7X3v33XL35TxiehPAYtOXh1/Xg8MOcOMxPiNaO/01m3QN5+Ltq6PaLQ/jMohv51U1wXQyOAA1WuHIXKBZ4YglsbZTym7sKdmqwaRTqg1BRDSZ3EdQch6pr4fR+0RcC8FTBkqt+3/PrYopLAOdthq7LxJbPy2SeTpctoabimWdEca5QEBEYj0dm3mgU9u5lvHoB57yncK+cjaLr9OwfpX64h+qqKpkh29tFSKUk9NfbK+WteRdwqSsUBJwU6yQlbcFCoagoeQFT8qmw2QQ9bN5ctqU2GCSF8OSTMkMriszATzwh7xctgoULSafh7/9ebmhutxyu1yucY49HmssyGTD3Z1CKl1dBNVDnmqQj6SGVkl2YPVu4L8GgAI2FC2V8S9mtU6dE8fiaawTv5XKQy+QxmDQS2HB5dbKRJPPmCS9n3jzYtu03fPWrd1IoFACYW9fM92//E06mJ0n7vMRicipsNtHq+d3vZLsul2Rh1q0TgKGq54Odnh7ZT4OhKJI2KfvudAp+vftuWS4YlNdIRMYfZHhLGkUtLZLQK31WKMjp+/d/FwzrdMq6t26VZKGmyd8vdUK9u2IwDY+OiXhdAXhoFD5fBxXF33M+Af2PQmpAXMFd62QSy2cgcQri49BxFrQ6cM+AvhS8sA1eWgeWRrijG2b/EpI14KxBfAi28YYAJ5eVV0NxIrTaYGxIAE5JRPKCmQALKNXgD4O/CuhnyiersBspizXD462wQxMhQKsF/sQGNRqkj0Ps12CsFimHkf8HklvAMw/814JylRhN0i/gBSDlh3Q1ZAfkd2dwQ3oNRHZDwzF4pR7OtUrS6Hga7A6IesDcBq2DcLQRoinxgpo0QMIKDXkwWGDUAgU/0JDl55/5AKPbn5o61E/O+Rs+MP6nnBuBXAHGVBg3geMMHMvBi9VwjQJnQyKGt6pOht3G+d1HT+hgCYHBDIYMnLUJTcqpwEInXFZcLuuBiRzss4OWFSHCbAwq6uDqGaCkIHqqeL2kQLNJu/3wOQFcAMFhOHwWtAqosUP1m2Sw36lxCeD8AVECNyUn7Fxu2oeDg9JlVVcnv/adO6X+sHWrlJxcLnJLV6KMj6H2WcHtRsllyWlFeVyDoSx7W0IqJULJ9MhkJN2xvZgWLSoPezx25s2TbAfIZHqhZiig7PIYDMoM29h4/gGpqnyuKIKSPB44fpzC7Ln87GcGnntOx+EQLrLNptDRURb1K3FRcLthbIxERmOgJ097yE7IKDQkn09WuWGDJIxUVQ4zGJSOI7e7wPJlCtmsuHLffrvC9dfDrmeFYzNvns761QnOjXimbrD79nXz6U9/kHyxxX1WTT0//fL3iQWdrFGPMBypJK7Ypmwc8nk59HRaQEQ0Khwik0n2p6bmfMmfdFpOTTot33W7hQs0PXw+sax48MHy+m02+c6ZM3KJ1NXJq6JIxqeuToa6BEbtdimXjY3Je4dDJAAukZLfPTGelUnPVgQNkbxMZiWAE9wHqX4wVUEhBZFdULcGunZCekgeOHK6eCHpDXDCBPYwVCYgZYRtVbDUXiT6AsSQ9qFpoRcgE4Wuk9Bztkj8XST/Zs6D0DhEw/L3pavfAISrwFeB+xAwcw1wffGzIkE4ZoRdjVA3AMYCDOnwUkYWO7gDbBPis+WPi11BohNC/XKLDMyDCg3cRhHHC8fFt8m6AK4owMwAWNuEt/LQlyD4P2H/DAEOShJMGQg5RQww7gCLF9I2cJkhngZNh4xV7ByOBaDfCi/PgfEf/i3BZ387dZifWPIX3HzFX+I8BS2vCBlb10Sz5nhAuq+iSQhZoNYCe4LwQB2kgIXA5xDABWL7ABAYg6FKGaOrkKzY9DCshdhxCIzCoBvy1RAvgPcI7DSC2wmtbkiPirFq3W1CkGaaekmnBqERsBevgy1t0HKRlccvAZw/IEquz6o6LUPS0QE//7m02QwPC7FDUWRhp1M8ovr6wOPBN3YGi38h4Un53KTl8M+vhlfPCbjweAQUlQwwb7pJ1leKnh5p3dm6VXakslKyPYcOoaxbx4IFoteiF3Ss+3eifPIXstyHPiTZmtKVrSgys77e2DMQEILz/v0yu1ss57WvHz+p8NIuHa9XjOleew1mzdJpa/v92Vf3V5AzmDl3NMtoTqUz6ub0GWlvLwkpl9q5BwYECDQ0QCIh4Mls0qc43ZkMbNqsctU6I+nxKDZPnq5RL6d7LVitMuzZbDM33vhPPP7452mpa+Hnn/wrjJqXhAGyGcglM+TyNuEHFWRYSsmrZFI6pErnNJ8//1SWfHhKXk52uzS6Xcid++qrJQvT3y8JsUhE8GRdnZziSESMO0vrURTJUj3ySBlY1dWVCcvxuOznpdbyd08EjEW7gbxkcFSkbBN5AeKHIDIKFC0XVAvkJqFxIWhPQ6IHzCMQ88CgBeJB4Xuk5oHLL7+nRAZSt4F1N9CHpBE+Ud5+PgudT8KpEzAYFsdxXzV0HgFfjZSD1lwDqSRoeQg/DcfOQm4mtN4Ibte0g6kG/vz3j1FdBfkXEMLwIsn0YBdgpQJ7OqTbaPYkRAuQSUCjAwxVonUT7hCAY9JgSwW8cAiiE3BZHTT3wuAE1DeCwyXcmasc8OQyKMRgMgC5BJCChF30gHJ5iJpgtg1OLgPfBIxMQn031CZgpBeeey/EApD9y69j3b+d5Eu7+Oi8b3Lrhr/BawCnCUzdUFsN5OHoSlCzoDjApEBvCuw6HHVAFeKq8RrwHKLXCNDYDbsNInRYE4HNh+EDS0EJcB5HSrGChsp7DAAAIABJREFU925o2glmG3RZwdkOc5zgc0E4BhMrYVWLlDw1s5S8XBViM6EDAw5o80vXVSwDr45cAjjv2ihJ0iQS5adzSyYC3/uevPF4pOvJahXgYTSKtszWrVJjSSQwZzJsSD1I983fRfeYaervwZrPC6hwOKTO43LJzKhp57egp1LCaD10SN7b7TJbnj0r5ORiWK3AvlfgG1+Xu5mqin+BySQkmWLoelnPT1WLT2CqKujj8sslhTA2JrNrOAxLlzI5rmI0wpor4LWi3s26dZKVmR66Drm8Qs7iIuMAjwP2PSbVtyNHZKjuvLPcdj0wUCbYWq06/f1gNCrkcgKmmppkuVjMhBrwc+CA4LxYTI7B5ZLz09r6OT7yEQ9f/+QiEk91EInGIJ3jXMTJaNaBt6KclXG5BH/m82XVY3s6iNI+juZwkvFXUygoaJpsZ/ZsATjRqLhUPPYY7NsnwzVt+AEBLC+/XCYTl66fknB0KiXXUV+fYFazWYSqw2EZmwu1ql+Kd0/UmOF9lfBiCAwKbPGD9SiEXxCzSaMCk8dBMclkb28BPQiGCSETFzSwDkDjcrAugnk+eGgWoIIjA59JwaJ5oN6MWDJ4gGkdhBMnYLgDgsjkr0YgZAbNI1wfKKoM22H8BzC4DwoWUI/C/jCsvVtaoqdiDHgV0aFZBdgE0Gh/Ca5TcE0FvFAHagHsCqw1wzPDMOGCgctEVydqgtAy8cHKTYK5OBEnonByG9iiEAiB9zVoPQHZvHRI8TdAq5RvPBVgHoJhFSJ2cb226mIQqicgHoBbt4AlDX02uKwe1jwhjQ5DfrAloKkHClknkQeeYs3j9/NF92eIPa+QdEHOKKWjuUkxN+0NwlgLeGvEWDOVFzCh1IE6IgDW6oWRaTSHggHed0Q69v3dUDUAY72Qng31N8m4l8LvgdXL4fAZaEqJaWhVUTXaaoLRNPzGI/YaTWOwdBwaF0EhIw+o7ZNMgaZcAcwXIeH4EsC5UOi6zMa9vQJW5s4FVUVVX9dpc64IAKqr5f2SJfL4PW+e1F9Kj+2rVskjfTyOrb6eeVcVa0fzrhCei6YJybc0G5ZYqNMjm5X9SqVkZk6lZOYLhcoeA7ouqOP552VWLu3X6KjMuBs3QiaDnkiS00zkjeVfVqk0g8EgLT8g6YNgUFBTRQUzBnQMRtn0zDYR8vvIR+QQVbVIMlTK4ElVdOymHD3dOvPnGRgdVWlqElLubbfJ6k+ckMl+dFQ2VVsLC+fr9PVLfdzvU9i+XdZnMsmhvviivI6OSuknFisL6zmdd/D4dkiMV7O6rpdx3cQvz83gfR824HbLd+bPL6sV2+1CL0ofOspoewQ9myKvmbDVT6C2LgAEXCmKJLgOHJDTNWOGgJ2HH4avfe38U+VySWc/CEZ87jnZxxL3fHJSTuehQzIGhw4JgPrmN+U7AwNS1ipt+5JJ5sUbhRSkDkEhCZZ5YCjqlsx3yL9SBHtFc0U1g71ZnLrNjWCpBe9Kceg2OKTrKjMKugVqrgXnGtHSa0NwRr0ZGkvgQ0MyLK+LbFwmWkNelHL1rPB7UMBVbOrMZyExDNEzkPKCxSpkVcs5CEekkyo5Jt1K1nvFGJICsAPJ6JhAqQStEm7WYVEe4jo0auBWodYqyaX+2XBuFvij4ExBbBB8DVBbvEVNDEqG1lsBozHIjsFwlZR8LCrCLWqF0Tj0RaBQDXoO6nPgGoJoAEiBNSmZjl0PwQIvLKwFW0RAjXU1pHRwj0FND1hSMNxs5+qKz/IvN8PqaqjogTPLhdf01ROADvV9sHW9HHbeBRsDsNQLp0+KiJ8tC/FJmF+DgEyg3gudC6ChH6xhsM0Fiw8ipyE6F9yvY5u31ss/gL3H4dyAgMtkCk7Mk8ogQXgmBhvHYNlRWLwSGmbBphA81yleqmYNVl+EmjmXAM6F4uhRsUswGuWxfe1aqT28PgIBmSmHhwV0aJqwQxdNE65YtUpmuIoKeaRva5PWG79f1vn6x/83CptNHu9rawUVlMggH/ygACpdF/LHc89JWiAcFqKIqspnjY0yy546Bfk8Sh7U1jbwV5QByevr6Hb7eR1ctbXw374lvONz56TTZ9cu2UyhUH51uaChXkeLBGlmAmfAAu40AzNacXo0RkdlqF7dnaAuO0LM6mIUF7GUkeZmBaNBWq5BoZDNERnP096hcviYAZdbJZWCiYndHDjw/1JT8yu8XucUGTcWE3w3Y4afw/hJGiGpy3CUQNLy5TIkui5DqmlgeuYRFHMF8do2jPExPI89jLLpXwA5RevXw6uvCkgpeVXZbJJEe6PQCzoOa551V+h09yiYbRrV1QqJhICYSERw7axZwi8fGChlqsqnzOV64/Vfind26DmY/BlkOoQsnNgGvi+WQc70MDVC7BUk05ICey1U3Sb8CgC1Doz1IsBnsoNeJeaNIy+DrxHaGmDm28wEelrBekDKK+SBgsj9r9ws3lCpGJzYCqkIJApgLPY6kIR0o2RZhl6G0YPAiPg7tc0pWkP0FP/NLG9PUaR7anqsng/BdmnVrg6BzQDHV4Nilg4ufRSynUI+TsdhNApkYcINVXlY5ATTKGCWbEXoeZgxDmNeSHgEqK30wYkzQiq2GKFiHEK9cMAomjE2DwRMOg889WVmqfP5+JnP8q93QqwWVp2EpSfgqTXQfq1U2oYHoO4VyabpMWi6DD4xA8bS4DJCtUVA3wd2wN7FELTCnFehrRUoZsE31cHzwFhEsjEtxYcrFLG4eKPozgiROaxAWxLWtsALfmgGzo1ChQV6a2FNBLrOSvmu5hzc0gPZaqhcAbYLlNzf6XEJ4FwoDhyQ2drhgFwO/cBBCuuvQtWU88sFExOSOjhyRH7hf/qn0pYzPZYtE2AzNibZll/+UuokyaQwgr/+9fOQRTAoXpcWi+CkKV8kTRNWazIpZakSYWSkqK3e3Q3PPiv1nBJLdXRUVnTttcLt6euTZW12yORQe7oo+Pzo+tu88ykKzc068bhMzgf2w7PPKtx9t2z+mWdklxwO+MqnEixvjqE6ndj1LP5QB7WqhfbhBj78YTDmkjQN7sFbkcdoVkhkTTw6cDm33mohGFTYu1fHbkxj0FKoWQMD/UYWtsToHHNit+/nwQevJ5eLMjx8HStWPIXF4mZiQoan1HoOAhTuvFPAmKoKuJle+St1xjkdDpzdp3Fmg5KaMRsZGxMsabXKaVy4UBJ6TzxRdg+/9dYLD1U2C7u257GZ80SiCkuX6FRW6QSjRmKxcueJrpeTc7mclL1K4CsYlFNuuPQrvSgjPw6ZbjAUmxZzg5DaB46NyBN98Wep69ItFI8BnUKcrf10GdyAlKu8n4TUcZkIe4IQPAYGEwydhLmboKKlvLyuw7k8TBSgVoOGaeUJew3MvR0s98FIXJ5x6gbBGwQaoP+wCAvaK8CwDEIHwTkM0WpovF0oPT2HwFIhPk3JPASLEzY6Uqp6i3B44aor4MQDgCqdZRVHIb4WDvbC0YPgTknLtWNMykMmM2j1MDABV4wgejnXQc9WcB0CpxlmdkHID6b3w6orwTsDjhwCUycUeiHnEsDkcYJB0/nu0a/x+AF50Pl6NsNf/eLL2FSwn4B4DWz+NTzzKWnH1mrhPU2QjoCjBqwbwWYCr0lw4hjyzGzPwpYuad9PDIM6B8J9AhjtFXBLk5CGOzsgPSYdUpoF7A0XHqt4D/zLaVFudlrg8GWw3AnVCkwgZa2IBjPjAvZsdpjcLv9UKyivitoz69/6vLzT4tKt80Jhtwt4cTjIahbCyy9HDwofw+0uTji6LiaYbjfccouUoMbHzydMpNMy21ZUiMDLfffJY39VlXz/5ElJLRRrIGNj8J3vSAlD16VS9IUvTMM/ZrO04Hi95XWcOiVfSCanepx1o4mRxZtJbXoPVUtrsM6oK5toqqqQEzWVQqYgbeW5NIbOTnA6yFQ1TLUvTz+UklrvRFDhXCc0t8jhRqJw+OU4C109fPgyhRPhOjrHXDz+UIalW04TxMP4UBaXLcfKJVk+fJ1kdwrHOmhyhTka9RGKa9gNaZa3TfLEExaOHgVNU5hdn8NhgXRWwazlsJghEd/Pjh3XkstFAYjFztHePorJ5MZgEDy3dq2M2Q03CLAJhabcIqY7WHDggLh/6zos8n+Qq7r/Aa2vDzSN8Tu/zLe/Xc6mLF0qFhnXXiuJu95eOaWtrSLep2lSNitxfPbuhXhUx25VMJkUDhzSueYqHY9bJ5VSyOflsjhwQC6BLVtkn0sdWiAgMhr9v+MGcin+/w/FLEq/FEtBphNgOYYYXm4E7gJUEcIM7QHrMvleelRat0s4Qdch1SdqtuaZQkAN3Q+OCvnNpqIw2g7+5vJvemcGHkkJBUNR4NNWmD8NMNkroC4CDTPk83wI0gfBvFgIv1px4yafZHxmrAdzC1iqIT1ZXIkK1IDihcIYEBHF4JQClhikVOGkWKdtt/T7VBQR23NVyTZ6h8AcgvxWWN0JKSuMzIaQAVQX2FwyiWcVyDng7A0wf5l0Pr3YIa3QSRMEs1A/CE0GePhVSGYhZwM1CiangA89D/mgzr+d+BaPv/LDqX17wLePrru+xJd+rNDkEOLvxjjM+nfQPg/KKByNwpEmCLjgKkXEoGPADxFNRYMbPrYKeEXWaasR76n2J6HkCD97E/hbofkOCB2VTJ9zHuzxyjragLWUOcfhByC9CupMQFjKhP2L4YvAPwHj9VB7DpYVe1fmLYboT8BYCapJyqTxQ+C+BHDeJXHNNfDAAzAyQmTJ1dDagsEgT9ixWFFpVtdlhi91GblcUqoqRTIp4KNQKOqn10gmJ5Uqc2ny+TIwqqpi3z43kYhMlHomy6s7kwxvzFG7YJqa8evXYTRKiqGlRdIL3d3sTi1nb3oT6lYV+xM93OH7Ce6vfFwyO2fPQiaDmkigOF2owz0o//xPKJOTDFYsYmDN7VBbh8etM6NNJRSSytfgoFTCrr22rAPkcEAuk6XFMoDTnMFmhC1VZ7k/voCRpJN4zkJqYITKXBQdhbDuFluEVAY1m8Fk0WhryJDPFtDzBcJWI//6uFTvamvh5NEsn7l1hGDSTnqZnWd2nmXfvhvI5uQOqqkVLGx7AoO9lbEJGYorrxRw1tdb4NgxFZOpJBmkk8vCwYMK110noGfXrrK1xGvDjTTc/ffM8Y2Cz8felzwkEsVzoUuSbmhIaFUrVsi/aFSoTSDbGB6W7RuNgo+DEwotzQIiTUZIZRTMToXaWqFHzZ4tGRqzWd4PDZWzNyWtnEv8m4s3NC/Yb4D406AFwTIG2kYEubyAWCfMF+CCKk/8IP/Px8vrCe6C0E75u2qEmruED5PLiAt3LgnJY9C1X1SHA7fCVg1qVOnuCSfgmcmiOF9JGsEgQnJ6EhQbkAC1yBOpngvBHkjGwPYy+BIQew7SfsitAfunwd0qnU56Hgyt4F0Gwzr0dEFmKxyzgtoohpbrZ0JbFRxIwhMx2cYWB7TYoJAT1/CAGRIdUBGGpBHq+8GVgeMrwKpCRJc26awJ7AE4nIHZFjiQg1QA6s8IJycFVBrgUQ1G0qIsXFEDaTssCIFpBLq88LNzf83W/f8wNca+q97LnL/5BQMWhb/7Fnxln7Ru94xJFsb/KJxwCBepkIaBUTjVD0ta4BmgA9EnTCnw8zXwj3PBlAWTHw7+Amw+UV3OJGDgNQE4RgdUFqUoHgUeRyzDdgCTwHsAdPD2gm01TFjAWhBD1BYFGoB/BDI2KLRBuhasDrnfJFyQCwvAycfB9EaSIu/wuARwLhSBAHzuc+ihMHndj2aWWab0hD315vLLRRK3xBydbkQ5MiIzlc0mr8PDou1/4oSoCOu6PLbbi3Kgg4MYClbABPE4+ku7YcKK+t8fhS+9T3qqdV1m0CNHpNykafDpT5fTBn/2Z8S3vcK+7bMJpPrRgmOMWut5TV/M+nvvFevrhgb0559H7+6GyQjKsaMo1dUk5yyhx7sWfc9B0p4+Eg4b7iMhfjVwJeNBA5WVcOyYgJqPf1yUd/N5WLM8w/WXR3nttJWxETBrOcyFFDc2nyW/bTvpnBOPFiRmC1Dd+TTfP3Ab4aSZelsTn78uT4VhAPJ5JtwtPP2kl/FxwW0DA9Bc5yAyMUB1dQKXq5cde24hmwsBYDJ6aGp8lprGhcQSYNAKJJMqx/dFme/pZ5nei6Pbx67IEnz2NFXxLjRydDvrGFtaQf+gOiU/VDqdccUBrcLsNBrPF+SD3y8VTUzIGJSsFUoZF59PCNg//IGG2QxVgQLZnIrVUa4DqKqU85qby+u67z7J5lRVSQPeggVvbh9xKd75Yd8AlkWgHxTvJKXUzaQij/6ApUbIxenx4kcm+RvIZBp6STRxFA0y4xA5ALM3wultkIkDQXCmwVgDmREYfQy090nZhG4otItTNSeBP0U0cRSwvRfiD0v2RqsG2ybZpq8RFt4Ewadlf00hUPwCpLJnILMXGq8H5SEIPwTGGCRfgt45YF0l5OGhGFiOgD0Cz+0B7Sp4uBEqVElk/DoKX5wJni6Y7JWWatUFITukMxAxgGNUQILeCKM69CkiFKjo0JWGnVHodYK+BT4xAtZB0aZ59i9gX1CyZu0FmJ+H5qWQGoSBWvjfHd/hhf3fmTpHvitvZsXXHsQwaSADDFfDfdfA+34Jzl6xnhg5DBkfBHXh36SM0JWC1hoxaLcUM+IWJMuk+4UIresCbAr54mvuwsrCO4B6JCPkAnZSBDgK2C6DL/0WfrUGIgp8wAuLi/cqpfgdrOWyffyIcLWSZ8EQAEsb+Lb84dfuOyEuAZw3CosFpaYaa1SqTKXuIKdz2jIf+5ikGnp7ZTZau7b8WT4vJahMRngxHo/MVn/2Z0KuyGYFFJXqT9ksVyxPs2OHTu8zJ8lPGrhmZgdVDSbxRVi2TCRvd++W79x2m3RFTbdxcLkoXL0JOkA52wtGIyo6OaNNDiKTQT9xEv3MWXnUCATQnS7o6yc75zJiMfDnouhaBTHdTOhoD4P9c6hdWo2iyCH09cEtN+ssm3gB/fHHsUyCGl2NY/ViOs6BqQCfWBhj6eM/Ju/xkQtm6Yl7iGS8EAmRG20nVbOYsMnOD56YwV981o3FrnJ6qBVVVbBYZGjicdg7ZCQ0OYcDh87QP3AbuZzc4U1GN1/+6MO8cnoJQ6O6dCw0CFiI7++hv+DE6KqkYWiMQrQPY70B3W4lrRpJdfTxlY+bsFR7GByUFvdSxqiyUrZrswmefPllObWJhAx1IADZjM7IoT6IRFC8AXS9airjUrL1yueFS/7FLyns2WMgFBMZItObkPjuu0+2VVsr0koWC7znPX+ka/lS/JcOzYe0T29F2KoqYEdqEYDRDY13QeiAvPdeJn8rhZoA82nADNni7cDXCCvvEK+osX8HPSMWCQYfZAbhdhP8ZBzCg6C54JZOYBR4FvLrIf6/oRAUN3PrHWKRoEybLdw1YJwB0cNQ0AGtSBnSQI9CohsSz4GrX1rIh1JQOAfKbGn/LsShsld4LOMa9P8OlE+CpQjolQJMKrBwPeTuBbUDMlmY9MBIFURzoC6ClVfB6QQY0lAIQzIhgoHnasHZBzPrYbcLfvp5aAzD9S7YqYIxB45xcTjvSkEuAN3vg133fZcDu/5q6jgXzLyB5Xc9RLfdSFwTkcC2KFRn4KRb+FANI2DvgVwMYpVgtMv9oPsE/MoLCQMkq2CoDcJ5sMXhSWCDDeqN0LoWTr0IkYSMX3OxFNkZh4MT4FDBWS3KygGkhbwqBV39Rb2cu6D+BfhGD5JWupzz5ZGnRXYMQo+AsUpKVJlB8N0k7y/G+A8BHEVRDMBPdF2/+4+0P//lwuGQREnJa+U8x2mzWcT4pkc2K9o3v/qV1BxK3VXf+EY5BRAISJqi1C8MoCi4K8389eLH6eo6gjk1yQz3OErUI8vs2yfqyC0tApoee0xm5+kAJ5XCcfYkqy0KR0xenKEeKkwxFuV3waa1UCigZzLSRWU0gMuFvngx+rYXMZ89hrWykUSgmbSjAjVXwBgNM9PaT/tgFV6vwthoARdRXr33JPN23o+1pVYG5umn8X6ilsuW+qChSM5RQbUaqTOOoUQnUS0mJlUNj1unO6ZTZctyZsDOS11WvLUWVIOK3S6d9l1d5WzIwcNd9PVvIp8fBUDTnKxft5Wr181i3sIY+18zkslrrNto4N4fQW1GJ2aycTRkJ+M1ECgM0xgJkTfVYCyk2HrQg7clSUOTB0WRjMl110nWxGyWbeq6nOcPfEAwZSYjlcRt28A21kO0ewJUFWu+naoFecYi0vYyc6Z8ryRCPWeOdFy9nejpEYClKMK56e39P7hYL+K46O81bqR9ejuSWtkI+Msfmyuh+sbzv5IIQf9O8OwGU1DIpMYqsH9UPjeY5Z+9DcK75W/5SbDOgllpuHI/ZE+CR4GRFEQs4IpB4gEpTWn1UBiGzE4wtr1ufwfBnBXjyWGbZIq8ViHVGpdCYhyUcSFCGxXQkqLNMxICWwGUnFgkJMzgLIIdYhC2ytycS0F8ACK/BWePdImZ+8A1LsJ5DQvA/UF4PgTWDJgVcDogngW3TW61LiA3Cq0DoouTboPX7NKyHq0GkxUmImAuQCoOZ372Aw48+q2pQ/Rdtom7b3mUK35l5re3wrlqaB4GZxOcSUnXUcQBcRssOiFq0UYD4ANDATotUGeAgA0YBtUPR3Mi8ncaOJWGr/mg2wtbF8pzb6VFpo25Jrh3ANI54WXXBUGZD70aWFPQugOOFfmBdQ2w/Ma3p5eVnwQUyQiCCEUW4m/6lXd0/EczOBrwUeDivOkgF83r3RLeNB5+WNpsSuJ6JXvokyfPz/BYLNJ/PJ2YPDqKbaSL+Ve4Ye9JSBVgKCkk5lhMEJaqgsVCXlfRw1EM/uJdMJWC734XpbOT1dkcy5J5UnV12NNhTCsWifv57t0wPIxeXY0SqEB3uaGqCuWG6zGmMqQPu7GO9eEOD6GOjeAvdPKBdTU8lZ1B36SLQNd+5h7fjhbuoG9imNrGFuwOUTxOuKoZ887DbwZHTREJhkJoep4KfZy0VkfMXcOrQ21AjIG8ituWYcfTGepmqcxebKG1VeSHHI5Sk1gX585dRT4/BICq2lm06Gnmzl+DvzrE4jlhtqzMcjzawMHXVKJRMFo1Zupn6NRbMUWCNNaOY0hkUc+MY3aZyOs+KpvkhLrdUk5qaREMqihlW4Z4XE4hlK0S9uzRWW6K4LdlQdWIZNzM7N3Lwk+8d0q8unTNlLI6b9etd+lS4QQFAtIAt3nzH3DNvTvior/XUAl84O0tmk3Csa1gOw7kIFIL/gawJ0B7XTuxdwOgQ+IcWBaCYykER8Gtg8cI9EHYKIrBrg1Q+LGUnABwQnZQuDRTHKATwPdBK8CwBmeWQdYgYGrDNYAJ1LOQV4GMlHGUAjhVqKgF+0roHISap6AwATW94BmHzTvg+M1ibWB5BXbGQd0NtX6o1wTkWCch/+eQL4gBZ0MezgTFt6tHEUCl6OAwix/Uyq1QPykluslq2P4p2GKGJyxiVaBrsDAKnb+6hx2/LgtatTZvYOmfPc7aYQu+AHx6G8TqJWvz3DxQEuDICc8pbhM/qKwf/P1gikHYCWaflK8UBXwKNGYlSVZTLEENZuFYAnaPCMDy2MXkM5yBRwakXFVtlAzZUAb+IgQ1FdB7RqYFp7fIbhiAeQnpjnqrMFbKGOWCyC9KkdLlxRpvCXAURdn2Jh9fhNqH/8HYv1+Ix2fPyux28qQ8ms9/vZsIAlj6+6W9u7Oz3GPd1CQ1kpLR5vvfLyxfXScynuGUOo+uqlsxvVpPWxwWzs2hHDo0JU6j9vdjHevBWuUBn19EVr7/fejqQjGZobkZvaZWZvLqGqiuQq2o4Ap7N33bs6jtXTjdBZyr1qDOncP7M+foCznofeE5EhX17DItZVLNYD9u4Y6mvdiTBr7zo2p6Y3IYc+a4uHHVt7k9+QBaKo528wr6hmdwNl7LDKOFRMcgRrcdk81AImuiqzNPvOgoceaMCN6JVZYDRfEB/aiKhZWtP6Nx5ho2bIClG72kUl7SaViqSeJo504YDM7CkD2HKxXGboe+BTcSsaTxdBxk3YoEN8/xsP2kC2uxzfu22+Q0lcBIySk+Hhci8uSknBa7KYsejoEng27Mg1FDL+hoZgNWa7nN++1EKcNTAlUAd90lQLq9XaSTbrnlj3VBvnPi0r3m7Uc8LOUns6dIKC6IhYOSl4zE9MFSjTC5GXbEIf4yrPqtlHRylZBZgGSKEmDeAJkWMK6A1EsQNkO4H7QAWO+BuluF66M9Bqodsl44lwVtELpXCh9IPQkb9wug8bjAGJXMksUCyhqw74V5t4KlHfpcYDoKdU5IrYO6BMw/Cc/HYSQJOR/c8zlR3t2QgTt3wHgTvLwTxrIQNUBTDSzww0QabnCCuwBjR+CKdjhsgdoB6G6GsAaBQdA64OhieMgOvzkO7ecgrcOgtxpVNVAo5JhVeSV/vvYJGk7bmPVesNwKE0+KGejVy8Hqg+1DYttABNQ8BJuhph6qnEXt18WQaYBQUfnZYoQmJxSi4hOmIIk6VReOkmkMLHlRQs4gWZuCArpBllMAmwoVSEkvX+QF6gX5TH2DX0c6KesyW4oOQi4I3A2TL4iAo3MdmC5Cgb9SvJ0Mzirg7yiKIr4ujMCVf9Q9+s+K9nYBF1VVUkcoFGDPHun5dTikvaWyUv7/dnJ/ui61FatVHsHnzROjJWsRwpe2VxL2KxTEgOj4cWHv2u3SaTUyIjK5BoP4IITD8KMfgd/PyIe+yssHTAxnfOgeH9WKgbP7glT+5B6qe/fD8DCFhibSSR1TMg2qAc1sFgbrkSOweDGKohQtvKNiDzw6jGJQYXQU64svMstqhcqY9D8vXDDFsDUUMugodOUa6DG0ELCcJouRR5I3kK/wEcv56OmR5rH2dnhSD+D7yJ+waZMUjHDdAAAgAElEQVQ0hawvwIo4fIw0D372FBOWOnrUFsxaDoNZIRgUb6tnnhF8d/IkpNMBrvDdw9jk7XzIfRlXmrbRW9PKyZPLWbhQTo3RKJkYjwc+8xn40Y8M9EVngxXSHjGjq6uzMFJ/NR/6LHxUhRkvC16cOxcWLxZgEgrJjclolKri2bPlbrHOjjyeyT42G7ZRX5tlxDEDKqxUMIL/uhVTl0DJo6zUUn8hA8JMRpJ2hYKc4ooKptrbP/ShP8J1/c6Oi+5eU0hD4ri0+lpnCgcmPwrJByA/DMa5opSr1CI1lbcTUbA8B959kFxUtB04A3kNOptAPQxzZwrnBkRX72+B1Dgka+FUNXzhFagdhVgV6HXgqYOHM1A4DIuWgzMIg8fERdtsAWMWXvsRTCyBWaeh3gBmFTI5aTO2GaQMFG6XLh57oziVawfBYAPFDbl20Nog/S9QPSQJq0gYsmsg7wfGZLLOKPK6p1F0WwLnYFsNWG+Uri/dDKMZIAmhqLR637EU7MXW9Vwr5NKw6iB0jcNoPSQNoCtSCcwBPaNg6oWqMEwmYP6c21iz9jc8e+B/8HPLEzj6HQSXwOBTUPcFyN8FPgPYNdiUhYkeOBWCMR8MVUC7FzaNwMwE+FZB4GpoTUF7UaZsVpVkla4vwLPFktAmOyzRYeQ5KbENesAYhKQdlhthu1eECXUzrLdCc7GZoWkGDPTLwxc6zJn/OuoEcg86fQS6z8j7xjaYt6zorVcHgY/+YdfxOzXeDsB5DTit6/ojr/9AURQzcM8ffa/+b8e+fXD//eW2qNtvF6bpgQPy2tUlLd6XXy5gY968twY5Bw+KNXY8LjOm3Q7XXy+P5YGAzGjHjpUBTiQyZcI55SQei8lj/eWXC7/moYckzVBVBcEgvSOjLB0/TTqWIZxo4YR2Pd6e06RsPli4kEJPL7EX95JyBfBYHGSSYA2F0WbOlGPO5cBgQBkZFiRS75/q4GJsTMgfVquQUTo7RdlO19Hr6nHV23HWOIgO5jERIuuuwnfNUsIxI8PDstuplICNbFZAwssvC6dl8WIZRiFom1lztYUnn40wGU/g8BmpalDpLa5jZETW0dgoP+DbCtupb/gIwbyHvngc8xOPsK15+XlGlytXltuzm5pE37C5WYZzfFwO+5vfLLdcr5+m99DXJ9qL4bDoDm3ZIvsRDMo++P0QOj2GuX+ILbUDKOhEek+jb74T18rLUd3COi8BmpJwdKnc9foIBssGniWeud//+8u9S+OiutfoWRi/H9KdgAIRG1R+FlI/hUJI2p+z94D6a7A0Al/nPIXfC0YS+AJY9ogFQ3AvHF4OdpcI68WMYDwObTeKrgvAMcQuoDImJpMjXpjwiHfTqmsgnINfngCvRfbp1X4Yr4OBFlDTsPI0GEIQnwCnHYIbwHo/1A1BawPsWQp6H6jVYq+SHyjuawTyZmlVV1TQ45CvEfsGtVG41OYRSJ+GzEwp59gXQUMndAel9duYhom5kKmC3ybhprOQLf6+NEW8unpy8KNOaHDA5krwmOTZrWolDD4Lsztg1AQGFeYkIJiC9CCYj8JMHU7bINAFW8I38aG5W0jYFNQo9LXDxHx4tE/Gz6jCR6rBn4dlRgFbDy+A+XZId8P2CpgzF2YUVYldFljeVLwWdHg+AduTAgxvd8IiCyR6YbYOLgdU5kHpBl89VLRCXRzG07DoapjpKj8wWa2w7mqITEqb/YXUzkPj0HVKylgK0NMOVfVQcZGSid8o3g7A+SHiu3ahyAIf/+Ptzn9SPP+8zCoOh8zKzz0ntglWqzyyl/qCzWaR6K2vL6uvvVHs2iXgptQtZTLJjG6xyJWZSp3f82uxgKaRUq2cTc9Ezerouot51WG0OXNkmWCw/B2rlbqju0gGGonnPXiDnVRrB8kWdLz2FChG8ktWMGFqIXXNFrLZCcyDXeCz4ah2MmUCpSiSNgiHBYRlMjLLulzCbrNaBfQ1NgoqMRqJ5OyMTyi4vvJxZm7tYaK3FvsMN5GEkYoKyYQ88oh8bWREiMIl3cFgELZvl02VrLFmfnwt75/XQ/fPbBw9a+H0gMrVV0Nz8yhjYwdIJG6kt1eGz5DRicZU0io47QoGXSedFgy6apWcqv37Zb2/+pWcslhMsOSyZaI1Y7EIRn19ZLPS7q4okqzbs0eGZt062d/JScGWjsk8zolBVEVEatz6JLQFwO08b33TzdovFCVLjOmt6VOyA5cCLrJ7TXYE0j1grJNrIjMoejT6iBB42SFif3kj0sv7c+C/v8VKzwL7gGqwGqByABx5yNQIJ0VJFVuOp6kFe5CshUUVHo7JBZwG90opXyWSMgkaihPouBHOeqEhIb5Uu2dB3V4w+EUxOdsKp9eB7yTMaIZD9UXxvzrQZ4MtJyBHz4A2G/Jt0umVD4G2Etgt4A+DgDLLdaDMFSPRvYchGoZmKxzJQ6hGboEZBfyKGGMmotIqbjXAqAa9BXCkoT0H4Sx8slmAmskGS/8S7I+A/bdS1nH8GLQroX34KaKxFQw2VmLph4qgcF5SFgVdEZd0UwZeboGWAgQsAgSfmYAVxyDaAd4esHpAjYN/A8ScYF94YeXxkxl4Jg61Bsjo8GAUGo1gtUn2ZpZFQGD/JGhFUGQDWnSYfQGHb6MR/BewLJy69tKyvulmv9nMW1xbF2G8JcDRdf3Xb/JZAflZvrPCapXeX5BZzmoVBbfjx8tgxG6XmbHkkvhWUcyOAOV1LFokPBpVFeCzalV5eYuF7I230P6vLxFbspa0r5pI3k6iwcQKh1tq6LNnixOjwwGhED5Xnh7Ngs2ukM9aaPJEqIm14+4XPwElmyG44SZyzYt4+UiBwdEV1ObT3LJWJTDbD5s2yX6ZzdLpNTgo+7J5swC4Rx8t2zvcdNOUhG6ou+Q96sXc7GX53LLz9bJlkqBqbhavptdeK2cxolEpV5UyMyWAg6JwItJM7ygsWKDjt6eIjozwni03Mjh8miVL7kdV78DjgaPW9/CewR/jyU0SsBTYNePj1BYtwsbGJEGmKGUXimhUhmtyUvg82awcyq5d0pnk8wnX2+kUPJpISGs2yCkvDcmSJQJ4JifBUlPBknNnBOwWCsIIbmz8gy+7EmE9Hi+Xsy7p3JTjYrvXKAaEAKEDSpEvYQelQcwx1YSAEZMXEUiJvY2VGpF0girrNapiTNmjiIKwXoDZtwjhtxQrC3D2VThzGixR2LAfxhJQW8xk+q1gMUAwKVmRtA2cinBfNAdoBnCsgUhSXLdzObBVgrUPgj4BPWMWaHTBdUvAdZkoFysWyB2C7G+LPJK5YL4B1EpIP1bc/yVgub64jnEIjkM+LIaWG1Lw0mpx/J6RB68O6y+D8Cg0hGAkC2cL4ExCcFjWF/NBsgHsxVux0QrsF/mKHevhVBOM7Hmcvd+/nWbXLN77jReZlajB4IJYG7g6QctJpim7QVSRQzkBVDZVvLcmR6D6FHjHwKLBgB1sJ8F8BdSNQt9jIp7nugy86wVojOfLGSeDUiQTF8ThPLARxnfKPbNyNQwXIDsh+z934//Ztef2iyxFNCzg1WgCz7swU/x2SMbf0HX9e9PeV+u6Pvxm33mD9fiA+4DNwDjw33Rd/+UFlvs20jA5vRdgka7rncXPlxTXMxc4BXxC1/XX/qCdee974X/9L1GTU1Uhb8yaJbPdkSMysbe2ymzpdpezN7ouM2kqJRPc9MLn1VeL+nEJEM2aJX8bGpJttLbKbBsMgtNJzmwnWDGL4c2tmHMJLEf2o4RGySsuwg+cxH/HdcIDCoUEdGzYgKWzk5aBETKYMFnjmG5pA8sC+EUUgkEKH7oTW91MXnlmkLGzMXx2naTayOO7rNzdBlpFhaxvcFBmcE2DxkZ0l5tMIoe+5irMmRjK3DmSgQqFIBQi3mHk1IlqnB4j0ahQei67TLIdVqtQi0rJr8pKSXgdOyZ/U1UBCeNjOgwOSWqntpaxMSt2OzQFEjjyXfzdL+6gf+gEAEePfpSN6y9nMtpCh20x9wT+ijZzPxlPgHFDE4W8bOvoURnqpUslQaUoAhpKDhklH9TRUXl1uaRktWMH3HRDHqc5R0OtRjgqROFYTJJWIADommtkXWazGW3jV8UkzGgUwrimCcrqFb0hGhvftIyZL+6z1SqLZ7OCM0viW5fi4rvXGKrAsRpiewFF3L/tC4E2SD4KhQiYe4pCbIOINUMxslnhpxiN4HRPu7TmABuQdnIV8ELbZ8GhQ3wEvK3gmy3ZIj0LhmrgIbjjYTiRg+5KcBUgl4fDj4HXB74FcFMjvNoO+WJZ5eGUtGNn4jDDASubYahTyh4eGzRuhNF++B1g64GmmXBWgYNhuLoa1BqIj0NqJiifEpKttQ3iJui5DKw1UG8CYzPEo9D+KvTGYahPeDKaCRyDcH0PDDSCwyjmmEkNjEkwd0CLAQpeeEWXMlhSBz0kLebj6WKruA2UOOy5DJ6/Asb3bqXrh+9HL+TpDJ9i9z2fZeFNv0UJwLFqqAyIdUR4GSQA9xCkuyBqg6GZcGsdhBqBl6AuC3f9HPasAKMOi8OQPS4dZ5oTQjvA4AVzNdTG5HxN6pA1y9RRUSQG+1aDe3Hxew6onYBERMw+HUUR+1SsqBztAvNbdPVGEhDPwNJ1MNJTNO5tk2zRuy0Ufbo5z4UWUJSIruuuae+Duq773uw7b7CeB5Gf5CeAJYis1RW6rp943XLfBtp0Xb/rAuswAe1IKvse4DMUK9e6rr9pAm7FihX6wYMHy3+IRCQF4PeXpWhLkUgwRSypqZHJXtelBfzpp2XWrq0Vc82S8l86LS7hr74q4OHuu8/X2R8bgxdflJlOUYiu30LG4mL3bvBlhtDyKSL7zuByFWg79lsCMz2y7nPnZNsrVsBHPiKpiPFxAUxmM9x7Lxw8SCavcnL954jUzWVk12lmnHoS1eMmFWjg8OZvsXKzh6XOdtTv/aOkY+JxWL8e/corGV+2meDeMxAOY48MUWsNod5a9NcaHWU47eFYr5shWxuD4yaeekoyNqVqntMpWHHBAmm57uoqkM2A16dO8VFurDzAyo5fythVVHBs45f4p5/aWVR3ju//9H30DL5WOsd840s/4babP8jnv24nkVSw2wXEOJ3w5JOSiCoNe0mnqEQfOnJEcIjdLssEApI9cjrL1bmGujwfu34U0IlE4fiAl4mYFZ9PmtcuRA7+vUgk4J//+f9j773D5LzLe+/PU6b3me272r6rXfVqSe6WC7IdGwymGQxJCOSQwMmBJOclwTlJOG9CuCA5JCQcCLx5OZQQwGBMM7jIRbZkSdaqrbTSFm3vZXZ6fZ7n/HHPaiVZthcMjrG5r2suaWZnnjbP/H7f331/7+9XsjogaaF77rksyCkW5VIuSR6Fw79+vBtFUY5YlrXtpd/5svbxaz/WXDrOWJaUqqwC2Ku4yCATCyHIDAP1wAZAgWwGDjwpBpuWCW1rYPWFTZiDwOeAFNI0f0Fi2LIg+uOS87giQnCBc5Ih6R6GUS94VLkXF8PQGoTwLbA4LCUagLZbIOqE/Q9JW/YN/TB9JZxOQXpSODBaUbJPkR4ILsJMBRy8Go7dAZ9uAP9+GD0KC5NSLvM2QeWN8EUvzJ6VJNTdp+GWbXC4D44WhXPj6hPRvfoMjERECLC8WqwJTJ/o/USegw0VoJowNgSDTbAQAI8FLYtQ6YFMVq5vWyuEn4SP+2Bf7Gec++idWKVaTVlZG1+7/klyHdVMx6TV25OC1hKk7umEB24UI8+EGxJ+4QmZftjSDZseh+ufAb8d8p0wXgn2Y2KxAOCqAEc5mGnIFaAvC8evkLLk7dth8wq7l+Yn4OTjpQygChtvgtALcGn6p2DfWcna2G1w60YIraB9/NUSv+xxZiUcnEtH7BW0FF3yAUXxAG8B1lmWlQSeVhTlB8C9wMde9MMXx/XIMX/WEmT2T4qi/AmwG7H8WHn4/ZdnZ4HUEZqbL35tdlbAzapVMqMODoquzJI9w7/+q5CUPR55fcMGIQovxSOPSP0mHodQCKusCd3tZpPfy+iUTlFz4ArY8KmL+LMzcGpcsh1XlxpHDh+WSXTjRiybjbzqwHxiH1q4ApvDQdTXQmXXQxjxFJ3DzzBTsZqA38I+P0llz+OMdt5FW8/P8OdKS5tQCLq7yTV1MFicxTrcT9oexFbRjrPnQcq2jwnIczqxmVBeqaDoKR56zI7PJwDn4Ydl8n7DGyRRNTho4XfmmR01iAQMNtWlODvkwuOGjoEfy7VTVazhEejtpba2lX/6yj3nwQ3AX/zuX7Npxz2Mjiv4fBadaxQWF0Xd1zBkv16v4Au7fbmsND4uCa9rr13WsqmqklOIRiWzpOuSzVnblEVVIW/aMC2TDfUxonYXuZwk51ake3T0qIDPpiZBefv2yc6XvMkuiKUOLYdj2SX8vGnrb+LCeM2NNYoiwObyf0RAzYaLXx4ZlKxGICS3Vl8P1DeXsn0zwKeQmo8F/AewBigB/vwULPwAiikR68vlQI+D3gBVKoxYENMgG4SyHHjCMLAXQg3gjkj2Y+gp2AK07JdsxdFq6OmFgC4C6Asp8CagbAZCUTjdCUUddj4Di23wZR/cc1pAhuYUcGfl4Guj4ntVMw5FO3y/CVb/BKYaYD4kJSjFAWfq4FwV5GOwtSQe2BWFTheEc+I5NZ8Cz9NCXN74BEzuArUVQg5QeqHWLeCo5ywE2yH69F7O/d2bzoMbW10zH/y9vYSnqpmfhkYLijHhqcw5ITIHR1rEzqFsDnqvAExoHIO8Hya3yvUcz0nWJdcJ2SNg10trHAVSA3Lung7RqvHH4ao4pJthtGflAKf3oJSY7C7IpaHvEFxxx/PfZ5iwrw/8LrBp0h12dAh2X0ah5PUSKxliL03xvHjK5/LRDhiWZfVe8NpxXtig/Q5FURaQdtF/tizrf5deXwucsC5OO50ovf68QUdRlA8AHwCo/wU4ExfFEg9naXm/1EMMMit2dclkt9SGfeDAMsCJxeDpp7FSaYp5E2suhqo9TmHLTnz2OB0RN7nuXvRjewnEx3BsWL2cubmQuVo6hpzipIADxR+ieN0bIJ3F7F9AK8bALOJSs7gdBgrS2uPR86RMMfA8P6vqOuTz5Cw7k1MKdTZwOBUMC2bmNMouEGrxeUw8/iCJlB1VFbrSUizZE7hckEkadHWBYdmw2WBiSmfPxgmahp7AXy0plVTBxn9MreH43moeeuYOBkYOn9/Wn937cbZe9yFsbo2REQtVk+xNJiMAIZGQpFixuOw6bFnLfJaJCakebdsmTWNzc1J2Ki8XUJTLySltX5cBRRFjSxQUTBQslNJrK4pC4fms4ku4WqYpeHaJ7nXhtle8n9dX/FqONb/UcQZpjV5q8V66tcwlMnof4hjZWHo+gmSA1snT1FHIjUm3FDmxN7AlwZOVUtj2GhhzgzkHkUrINUlr+Pn96QJyMCDlgJ+5IWuJx1HUIUBg6ZhUU1SEVbOk52JCeRpml36bpYyDtdRRGJXMj+IQXo+ZAyUOhsV5sZfeTXBsNdQnwVBg0A9rStszTfGjAjCehbkE5G3CPtd7YO+V8Oa90P4kOO1AAZ5thaetffz0q3dg5bIA6NX1bPv0XpSJOuZSwJyUlNJp0aDRc6VytyLCiUaJP4UKmgp6Wmws7LWQvwHmR0GJSrbMvRGsKTAyoNWIezjKBXYWRqm6fYkY40vdD0uCoaoGRuH57xk04Mtp6KqCdgOuTcmxFl7nTQwrAThORVG+esFzzyXPsSzrPS+xDS+SZbwwYpxfd1wU3wb+FfEo2wF8V1GURcuyvvlzbgfLsv61tC22bdv28qaUykrpd+7qkhnV610mDdtskkpIJqUWkkySr2siuSATmWcuirNQoKA7MWw2tFSM+Hwe+7GT+Gp8aOf60T/8QYj3Qm9aUhUdHQJyzpwBu51sZT2LoU78ZhLT0lGtPEpNFVb3aQrN7QSf+DL9W99OsmET6twcdT1PkQ1UkQpUs7j2KuqrwVu5E/73ETnOXA62bcPmUJlOBKmqXoWjmMGITpJKq7L/kychHsfQ7Hj0NB0dft7+dumwT6clCWSawqN2OiHos4hHoak6T2Uwz8iEjeuu8JIqayAwe5LCfIyDU61UVef4q2+/i7Hxp85f3rtv/xTuVR/muTM2VE3B61dwOBRUddkrquQKQW2tZFkymeXGL69XsjNNTeIbddVVAnCCQfjOdyQBpyjCD6ps8kAmio6BQ4WY4SebEx+sJZPNlyxTrV8vaZjhYfnA6tXLEgClSKflMi/5a+Xzy35mv8neXDZ+LceaX+o4A9Q2wNAALEblfqmpuyCr6EXAgCkPy4DJAVg8DM4wOBZAdQGzCLHZgHgI9NUizudYBxv2wOkfQp8PflIr7d07T0JzSSiwpgWyHpg/CYWkZHpy1TClwGJMgAxOiFVC5RhsOQbjtTDeDufWwG8HxKsqk4D0vIAmE/itLHwpACMeAQ/XHYCmzcBaGDkOKQtOXQ+BKthsweQwjKWhzoKwHdI2GHdAYB3YDooztzsrJSRvCsp6INgLc5VQNg9l3TDCAT799G3k8rLK8IZqufJ/Ps4V5xqomoFJP2z2QI8C6QCYBTHLrFRh5zF48I2QtcOqcTAdsBCU2uemXoh0wjW3lJSeLVAyMP5DUGtAMaH8ajBGIN0HwTzMqBANimfWRj/k+8HWcEnZ8jLRuAHOlnhcAJ1XXfz3ggVfTIu4Y7sLetLCRV9bhHV1vK5jJcPs31zy/G9/gf0keb6MlR9IXPpGy7JOX/B0v6Io/wjcDXzz59nOLzWWOqQ+9CEBOOm0pAoqKuTviiJaOl/6Ehw9ihEMkShrwhS6DVFHFQu2jcxMFKjVp6iZ7ScXWkPGXU3Z4BEZySIRMeJ89FGpt4TDYm40O8t481UcMraj7cviKObYdqsfh8uO0tyCWVaBfq4PV5mb+tXbifiqMLcGiR1ez5y9FvvmdWxdX0VjI2j6LiiPCHAqFKClBXdzM4EfuPjxoQ6qU/2k5m28+X/+N/C5BcCNjKBlTXDWYbkd7NwJQZ9BpquH+mwv7rYaBiI7qKpWGB9VefQHWSrKTDIpi3CZiuHyM12xHrvbhqqrJKIWf/vgfYyNHzx/eRsb/56Kho/SPy4rFbdbVnUbN0q31lKWJhIRatP0tIAZ04Sf/ESMLVtb5e+7d8ulAwFCX/2qNMflcsItv+MOcHpc4NHQ8nmcIR2j4MDDclIunxfQ9KI2C5EI/NmfiTu83S4Ha7t4pCoWZZuaJtXQfF7Ajd//0rJKr9N4XY81lqgQ4A/ANTfB3IzcWlU1yxkWWoBNUHxaCMCxNpg+BY5qSIxCcgbchggLFj2AWmoRjoDqBUcdeJpg7XvgWylRyq3PQ49HlHQ3PwvWM2IjkGkCs0K4L1XlkvXZ4IY6DxTcUIhDdg8UF0UM2b4ZrmmBdXYw90BlB8TmpEzlr4CwFxr/GU4b4ImJloz7Tthoh+pW6EbAyiTiX+Wqh8qomFlu9sgixumA1gqY+Q4MDgjowYQf3AlHdsF8GN5zBtqfgZPaYe7bt4dMQdrT/J4q7vzo45Slm6megXQYcgZkq8AxLyJ+Vhqm6uDQrdJO/ztHIOUHxzkIj0LPbeAswOqrYE29CBzSJJnaZw/BYgMEddi6XsjeVhHSZ8DIQ2VY7DDs3wfHFCwC9lYI/O6Lg5zadtE5SsXBE3w+/yZjyaNWg0BQSMxhH9zhhbLLLv1fP7GSNvG/frG/K4pymS7950UvoCuK0mZZVl/ptY2Iq8lLHgLLtfhTwB8riqJckDreAPzLCrbz80csBp//vPQbr1oFH/7wxa3eILNYiehLd7fMzk0tuL/4WXIf+RhmewcHupyc9r8HRk+hpHPcvH4NntWrCEQHhaDx/vcvL9Hq6mT2/trXIJPBTKU5ePvdrCo+Rc2hBykWIHV2Lc4/+31MVLRgAMeV2+DqbQSQDgQ2lFP3lp2XP6f2dnlcEG97G3Sv8RKLbaKlRXjVAGgaZkMTp08I0S0SEZLu5tgTeHu/jeJywXCahrenmK+8kZERDZvPycRsAa9XZ/c1JsmEQS7jRAuvxx2f5NziXg6dXQY34fDfUl7+UeJxAQKaJl1ak5NCObriCrk0IyOCybZskctdUSHZGVWVJMq118Ib33ix9+jTT4sGT3OzYNLHHxchP0BmDrsdHfBbwrleEudb6sR6SS7OUs/5C4TDsVzFBNneb8DNC8freawZm4LDx6W7qa0RNnRC46WT0wjwaRHKM/qguA0Kk+CbA6MONBdoR8FdAD0rpYxsHSgl7X97FQSul03pAUg6YMejULUPCllQLEgWwVUEIwHWGWh+Kwz5gRzsWAubW1Z2/2o2KG+Tx4VR/2GoP4XMPBsQmXOgwgZbLBiy4LQijtl1QPMwDERhAKiYg3dvhPwTYNollZY1Ye8NcOBqiJfBuQR8TYPyg/Cp1CdJFuIAeN3lfPTde0k1tGEflSR5IQ8JDyRnwdkBoXKY0WF0VvR7lCDkDsDVIdGmSS1A9RyE7wL/Jdqvzx4WInGkWgT4hrOi26PYwLte3hMAgj0QmyzpIAH5PsgPgKPjha+lokCoWh6XC68iXl1jhvwfB9wYgDL75d//eopfKFGuKIoG3IqY3/0W8KLNrpZlpRRF+R7wCUVRfg/pbHgjcOVltv1G4CkE4G4H/ivw56U/P4EkaP+roihfAN5fev3FPGxePCxLCMBPPSWz9z33yOw5PQ2f/KRkO9atE9DxpS/Bxz9+8eePHxcC8JIVdCYjE39BRTv6HNnGDrq7obbND227GB+3OBSyxME6sBl891zcK+z3i7TuzExp+W9D7z1N9dlvkm9sJa95CJ49iXv/I3Db7aVrdsn5jIwID6isTADTS4xIiiIVl6UYGpIW7HwefvADsU2oq4OtWyEctth8fIR6TysVjjh2Xaf45NMcMW4kmYS6RhuFgjDk5rIAACAASURBVE5bs0FOscjkbShOjZTLIq86ab72A+w6GebAgfdRWfmXaNqfMToqgOaGG5aPZ3FRAMntt0upyTAkSRKJyKWenJQSWSAgoGXbNjlmpxOGh0yKiymm5zXyeTcTEwIulng8r5T2jM22vF9dF/D1G3Dz88VraazJZOHEKYjFobamZKdgQXQ/7DshhF93DZwZgHAQ6i8loX4dMMG0ATZwjIBtY6k1eVGcv50GeHdDfhDy3eBoBu+d4NkBup/zhpk2YH0v1H5VykVYEChANgdFDXyVsq+ao7BlD9hCQqC9MPI56Q40TSkhr8TsET9QoiYaJvRNib5OIg8PzEpjWGUTmE64/qdwMA1aACw/9C1A33PiZ5VolBZ4fxS63yZ/D+bE9Xy4FvY54I57v07vX72R4bGjvPNDjxH2dKJOwIKn1N0GhKeBfmlbn9dg1gZGGWhrRV/HtCCdE4K1qwocdwqp2jCgoUuyM8UgRFNQdEAsI5YR8fgLnH9JQ/aiceBl8mQUE96XhkeAKQ/cpsMVL1H2er3EzwVwSroQ7wXuQXy/vglcu8KP/wHwb0gfwDzwQcuyTimKcg3wkGVZS9POO0rvcwBjwKcsy/o/AJZl5RVFeRPwZeDvEG2KN71Ui/iLxoEDki2prJSZ/DOfgY98BB54AHp6sAyDQt8wWlsT2sjI8z+fzXJee1+V/kvVKGAzMuRDYRRF8Itpyore5zJoKs/Q0uJFUUPP397QkKQwAEwTVTXoWNhPwdTIpMGlRQk6MiiTk5BKns9EYJqShujvh4MHl50jr75aANoKY3AQPvtZ+fiTT8omm5sFL504IeDiDY440/kQcctPR/EURQdkf/gzvvF0K7P5EPi83LTHxo03Qj6pk1iExaSCK5/BFp/m7qtuYc2a5xgZ2czJkwICtm+X8s3iolyn8nIBV0NDkqmpqZGvCOC220SncHhYsk0dHfDFL8qgNTdj0M5ZKnNj9BVaGR2vwR1wUigsl7EuDUUREDI7KwApFBJwsuQI/kK+Ui8WqVTJK4ZlD9Wfdxuv53itjTWWJav8aAxcTjh9BnQNas/A/BNgBMGcEP6HVgPJ9GU2EkfgXQZMFbSsdD6ZYUgXRFXXW4e0hzeLGq/n98C+5TLbMmHz9yCXgpRTsj5OXQjAZgKSGXHfdgWgJgv2DFAqeVk5IdE+8xwsxiXl1dcH112/wg7EUjxzDnomJWs1MAepCtGtMfugehCmc2Do4J6VUlrCDj/MiJifPS6molUuuHsWvpsWItWUAkETstMwY7m56XM/pG9iiIzewcQUVBZgzAeTtdA0JORoywDbY7CwHtJeGN8MkwmxpSi+Ga54sKRAfg18tgOGDag4Dm0Pg+UGfRjyizDXLL91TLip4fLnrDfDYjVkJyBogLcWbC2CcdLLl3jFYWRh+j8gOwJXqBDZA/5fqZjDr1esROivCngX8NuIzNSjwJ8Cfw981LKsmZXsyLKsBeB5HsmWZe1DqHNLz9/5Ets5CmxdyT5XFD09MvssPUZGBOiYJsXO9XRFG5jzt6LmVbZsiFNx6ec7O5dtDqqqZEmTTKJv2kDgTbsJOCUL8dBDEJo9y03PfYH2ujTKWBt88IMX11QsS9p/mpqEXFyqb7RdZ5HUHdgWj2PTTDRM0eR59FFJYbz97fDYY1hTU5jxFMqNu1EjkWU1vCWAUyjIucXjIkxXXb08g9vtoCg895xkG5YSUiAYzuUSalB9vUIhXItnbIz5uJekZiMXLTLcm0FPJ2kLZJihmnQiQDajUd9gkMtlOPNsgU7jOZRigbBXp9pRw+OqbHdhQU65UBD+s822zNuG80LOPPYYvPWtAng+85llUeZPfEIufT4PsbEUszGFlgYbmViIVeE0Uxk7/oDKlVeWBqBLIrpgse9pC9MA01To6FTo7JQk2tJKrLxc9ptISMIvkZC29LbLeAdls8uagBUVy8KDv1EtfvF4LY81RQMWosuSWy4TZmYhfEiyJcEo1B4E2z7IrIby+y6zkZuBr0j5x7JDLgLWApT9EdReKS3JqS+DcUa6ilxZ0P8ZeGfpsxdEcgTSExC0gSsulXYzBJlbwHoWBpsFXATysOpPRS1ZbQJzB1jfk7WVKwi8Ucowi1FZIDSUJvbZNJyek06ejS7w7UVMOHYBG8T9vHcKyrwiTGdXgQwYPlCKUMxAIAzOvAjcJWdhugb6HNCqQzwIdRMw6oD+UXE2N9Q4utfPnm+BbwZsTgicdjJ9VQeTITDsUNkPfg1CRbCcMB0GVwo8BbAnQM/Dui7IVMJCE1yxFmq2ShfVEQPG56DOBqsGYdwtGjN+DZQpmHeAUwG/B9yXWbtaFhw/A2drgQg4bLD7Fph2wj8gSLwC+Gjp38Q4zPeCzQOV60WD59JY2AeLp8FdVyrvPwTuDtB/M9YAK8vgjCIp3E8A31oaZBRF+dSv8sBesWhokFpIJCKzmccjpR3DYGjtbcyMewnM9FOoX0dX443cWLiESxoOw1/8heignD4tM9q2baJMV1qyr2nKUHP7Ivqn/wXHRje2UETsqh96SMjJS1Esyoy9apUshSYmwOdDWb0a3zXXyAxfXS2piwMHZF+BANx3H+ba9cRuu4ditiit3S4dZ3JseVa1LDnP4WGZ5U+dkuxOY+NyqsLlEt+X/DKpNx6X1cvIiJB243E40rCbtaFHqMzPY08ZpNJZlEwaC4V0wmABhc1bFObnTT7zmfczMdnDP374c2TH8rjdCnNZL3X2KXLpTqqrdZxOAQXXXy+YLZuVw1zSilki/w4MiPzMjh3ymssFPd8/y9b+Y2Q8ZYw2XYNpWKCppA0HacPBqsg861q8xDL28xZjF4Vl0dtTQDUU/B4LU9Ho61WpqRH9HadTLs9MifD56U+LmLXdLhmu++67WDIpnxfHi+FhAYiNjXDdxkXUvrPg0yXd5FlJLv/lh2nK95ZIyHdZXf2qL5G9ZscaXRMjymQK3C4R82tcBVoQiMH2I7BgQTEM9Qb4DwKXZgF2A2FIdsPMLcILqe4Ax9JkqoPjbrD2gj4KyhVSvuAbiFbOBfIORkq8mhKrQI0LYMlvFBKy+11gfxbCU9B5WDIm+WZwnAXrUZi5EroCkJ4FDkFwu/xGlkj50Szcf1bKO5YJ/V3wjoNCEGY/8KegrhWtlkJRWrpNCyoNmIzJb70hBuFJWF2Ac07pFLKKksUp2KX1POOCsWpYtEFqdICBD1/Hqrf/Mc0LH8Gfgb42oAAdxyDvELBUNwqZdqAR0kmwp8CyQcwu2StVgcpJuPfzkNgKdW8HxSfdY2e+A01xSFbBnAr2tHhjGTEo2CBbAQGbaPSYl2lQWByBYw+D25R272ITDE3Dj8qF0V6PEKy/Cvz+BJz5Pqi6cKliw9DxZvncUiTHYPhhyJcWYqEmmHDC0BhUV0B7SM7nlYh4HrpLDSFrQ2J4+mqIlQCcbwBvBv4EqFEU5d8tyzr5qz2sVzCuv17U4J58UsDKf/kvAjDGx0mfNbH5XCjrdmOvqiIblyyD7dL6ZlmZlIb6+mRmO3gQ/uRPZCY8fRr6+wl6vdDznFhZK4oAj/FxATmDgzIT3nCDeAXMzMgsHwpJXWapNejoUanjZLPLjFy3G5JJMi1rKfrDaLkprIUosbrNTD03Rnd4C9U/nmTz2gJqb+/5TA12u9R/mpvlriyJy1x7rUJXlxijl3T+yGTk8CIROf+cK8C51luosiYpP5cgkpzlto4BnnmqjQPjTZRVK9jsJv/rf/0B+w98BYA/+Lvf5Stv+2MUR5CW+jyn5uuob4BgWLIzbW2CC4tFSU5lMnKquZysDFVVOrEtSy7pjh2QPXKKwOc/zTpTp5jIULtwHHXD+ymcjBONq5RlR/GEvBTQURTBjhMT8nUdOCCXfXWLgWKZQk5QFKyiCHIUi8p50vHSY3paEnRLq9TRUdFuvBDgDA3JdSsvl3OZ7I1jG/kedm9e8uFnzgiovdAO/VcU3d3Cj7fZ5N+tWyVT9iqO1+xYoyhw5XY43AXxJDSsgtVtgB9iXwBtESoi4FwPFIRP8/yNQLIBurrByoN1VqrZLVfLvZg5DuGz4BuGwIK4VqMDKuT6YfoRKS+FrwRHGQQq4FxUZHWMMqjdClfdDH0PwFgBtCqw5SGVlvZx7CIeeEIV406bBpNJSJwBnwanHoFz60Etk6xM0C6TeSwDc61QlwOmgC5Q18ENq+HHh2FoDtJ2yIehcRBWzUAwCepZ2NEN7QE4vB1+dDvk7cIR2toFRkljJzU1xJmP7qYwN865z32UhzeYvLfmjymbFZPR9SdFiNCdg4Z5uOZD0OWB+WnwDIAnA6MhybI5cvIzNZ3gHwXfSbAqoPcbUHECCk4InoMjW8HbChV9cuwnroaAIdvwaKLvk/FCUoenJqSE2PyofI2qG8hDZgzolEuyhFGDpUsUPSdDkjMkY15qBvJxeb4Uk0+AvULazs0CHFmAc9sgmBGBv8Uc7HwBYvIvM9JF+PdBSJb0eY5H4T0tYq/xnx0r6aL6bUVR/gBpn3wP8N8VRTmN0MXKkDr3r2/oOrz73fK4MG69lcrONCMnHKRdOoWYZBQutJ86H3NzMnEtCf2Nj8vSPp2WWRHE2CgYlBLU5s1C0JielpSFpgng6e6WWSgalXSJ0ylAZN8+sWnYtUscIN1u+YzNJkv0zk4M3YGSSqJkM1gdqxnXGzkVqERJphk6rOMY6WNdT88ywIlE5HizWbkGpeWXacLPflLg9CkFm01F01QWF7nIq6ksVCSYieNJLPLD6W0MDSk0umZ478YuFrJONNXJ3//DfTz77JfPXyJF3YLH48XrKKBbMZK+LawqU4nGBMc5nXLK69dLpubGGwUrdnfLIZeVSfKjsnJZX0Y78DSGw03WGUHx5Kie6GLTrbO07vRQPd/NN0+FGNIrMRWVXE6+pu9+Vy5fNCr7HR2xWLfaYG5BJxa3sEyFtRus82WxJe0aXV+2e8jl5JgKhee7fCxV/JbIxb7iBE6y6JUVy/fK7OzzNHN+2WFZch1DoWXv18HBVzfAea2PNX4f3Hip3GAtRO6DTEC4J2SBOOiXUaoFmB2RrMiSR9H8JAx/R4wxc5Pg8sGO1VA8AVov2HxgOODAwzCtScmo5pvQ8AawOiD2rPg+2YOwuADRBWhKwKACURtM1UNzL9jngRwYLaKS7FJF2C5UK+3Lhh2mY6BMwMBqcSRf1ESbJaSBM46QdVJITzlQeRxu+H8hocpQ1nUb3L8T2gZgJgi6AVNVEAvA49fDXfcLR6a3DdwpaB8ANTbKA//fbtJzwo/UbE6CrVuw0lA7DjEfOApguqApBUEVPItw62Y4shYyddKCXzEK8yMQKYDDDs5mCOugLgjfiHMQD8OCDu4YNI/A/R8STaGAARUT4DNBGYTICAwuwogG51qk7GbXYGwWIn5YKIkG6kVxY9+FKEcGkfTlm5DsmlkoJddLwo/aJWsiswi2ANg2Q3YSRldB9WpwOaBgwrG5VwbgTKQF3FSUSmjTGRhPw+rAr37fLxUrIhlblpVGMmdfVRSlHpE9vxc4pijK9y3Letuv8Bj/c0JRqGzysK3EPXG5ZHK/LFHU6ZQ/JJNCKDl5UpZU1dWynK+uFv+nq66SWaa9Xbg7n/2sABu7XdIS3d0ClEBmcodDUhmZjKQG4nFyje2kr74D71vvwdZ9VIDKnj04us+SJYi1qp5iVR0zJzVcyiK4VNwKjA/mWWe3y7Eahiz9JiaEg+RyCXPX4+GBfxxi7KSHJitGwXQyG63G4dbo75cfWzxqELLl2NGU59BpN4eGaqgyxzgUW43TXqQ7voq5yf9Bvvfz5y9PU+O9BMu+zA+zWa6pGKEqlGG+z8H0mEowKIe0JABbWSmDXTIpoOa6awyu3Jbj+Ckb/pBONKowPi4cnJvmA7QrWRYLJnqhgOrQCZZpFA0F2zvfytvzCkePwsmuHGYiz8nDOqZup2hq7NpVAqu6RqEAu6/OEYspOF0KoWonlEQBFxflqw2H5bjuvVc46aYplmNXXSK6VV8voGcJ166tteMpWMsiJ5Z1eSLQLzmWMlb5/LLQ4KVg7NUYr8exRnGA6w+h8Ii0gGvrQd9x+ffanHLv2aZAm4TiGOSCwmGxJ8QJPOYH5SoIh4TAOloJk88IgTdfECG4/GOQKIJmgWeVAKTMiNwvvSHQT0A4A6EKCLiA9aBsBlsnVH4dpuJgq5P7ym+XDiRXQJzAtXkI10FOg0wBttgh8n1K6RTgWim7zP4dGGnR2XEmoONZiNQLuMoXIdcAvoT8ZDaegEAMcgloGYGMG3IzE3zlm7tJJwYB0HQH73j7g6wO38ChBqgdhMoYtE6CYwzsEaAMlNJYU9EIZw+CwyVkbW8duPvAkQWfCzIDkB+G2W7wFsW2QTXBlYPpasAuIOzeCEy5oWceJh6FcR/0O8FeAGUM2jfJ/tIdUN0N1X75HpquBZ8X3oZkcPoR4tmNAGshNgKJCUCBxhukHHZhVO6C4R/J/9UAVHUKUdkFZIvLjuq/6rBrJd3JJcXp0muvhlgJydgN3IeIgXcBn7Qs62+Av1EUZRey0nrNRlWVPC6K8XFp25mclHLWwoL8/5FHlvX5VVWAhM8nQCIQgAcflMnN5ZK2oNlZIUgspUdqamRWnZyUlX7gAgj8qU8xrVTxcOBuCn1OXO3r2PPuqwmFgMOHcXz/OwR0F/mrb0RxK8Tmq4il7SiFAvG8zibboihuNTdLCmJkRFp9Kitl348/DnfdReqpLuz2a8gXXdgLGSwzgy3gxTSh3JehPRCla7/One0LPBhvosw5RVC3MJN5uqZrSOb+krzxufOH7fO9gzVr/41CTiFSaeecowOjzKLDbuEal0m3rExawEFO+V3vkiqfVSxyRfsilWUmQYdO/5iT3hkXbrdCJAL7srdS6T1F7UIf+aLG5Bvu5dhgEK+lYrYrtLbCzk1ZUkcGeWakHo8jh6pkmcwGOH5c5ZprYH5exWF3sXFrEbcfQTEloorL9Xy37+uvl1JaLrecHbkw3G54xzsk+6Sq0FTfgPpUqwBckBMtL3+5t+WKYts2KcWJI/rFUgCvxng9jzWKC+x3XvyaZcH8UZjeDygQdIkyrm8c/CdEhr8tD8PrYHYjqDEhHedG4IvXwOgt0FkO6x+HWRXm80I8BnBUQCYGakL4QBagWzD0gJRh806Iu2AkDJuvgS1XyXB25iCMe2GmKBmIpkbgDIybIprnUiSb02wHvxfSM3DtY6DcivSmTwCHYaRFwI1qk46wnCnE4toYoIIvDWkPDDZA9QRUTcNwB3jicqzh7mk+8diNTCf6AdBUG++663tsKb8Fe1E8tA7fDNk0vLsWrukD3Q3O3wKtVFKuWy2ZkflxmItCrADpVlB7QUsKkPGUmgjc89DilE6tyRbYfz2EByXLFXNJN5cyBb1xmAmANyrX81xYuqXCCiyshu2tUJkSh3Hfatm2Dbjt0hvCAe13ipijZgP9MpWD4GoRI8zOgyMINRF4YADmMgJ4b375riErijo3bApJaQpgQxAaXiUGnyvBeP+MaEQ8hKSOI8CHASzLOgAc+JUd3X9WmKYsZRyOZVZmLAb33481N4917BhKIIASCsHXvy7kkMpKUTnu7BTCQywmIELXJcuSSAhocbslS3PokEymTqe8t1iUzI6iYDqc0NSE6ved1+mx2tp40v5W9LyF35Yglily8CDsaRuAP/1TiEZxeDzY+05j3vNubmpay991tZFcyON35jHW10P0rIAqy5J6ULGIMbdAwe5FnY+jpzJcW9XHj8o30jsbJF5w0BCKcdPbvPz0p9DkWySRVkkbNpIpncpAhmdGG9nRMMmZMQc9k58lnvun85fR53sz4fBXKBZVdmwv4g+p6HaIhCyyGQVdl8H0uisL2IBnn7UxPS0cl9tvBzWZZqhP4eBxJxVlBnuuTtJ1yklZmfBjHBUB9jX9D957wwiz3dM8d7qF4mIWraachx+Wy9vgilPvi4LSALoNwzDwOAr4fA4WF+Vru363etmsimEISLmUmLvUcPdC4XbLbSChif35EuhdqnO9WCyRvi+3858jKirg1luXu+Cexx179cXrbqyx8oja8AUjcfYspJ4ST6jpWXA0QnEE5o8Lf2bVoICSTLtkGAPn4FgnBPywfQZ+tqsEDA7CyZ1wPAxX+cFMSgkk7AFPBIoWpKPgC4nfUSgH53qhv048mewWVPhF+K5uBua7YehhyKRKHVQOmMyCfy0MTkm2RlsFzT7R90mlRFtnLAgnHWDLQUMWHP2QboPYFqjfD4456QCbeAOsDcDAvAgVxkNwrk3Kd5YimRVnEgK9s/z1EzcykZBst6rqfODG79BRdRs5J6R98Mw60a6x8vDJP4RHz8FmB7x/LUxa8DMFiircshrWt8JP7oeqRcnQxFZDOgORJKilspAzICTf2Qj8n4KIK9Zp4hF2fz+8pwMW+yHbIuDGaYgae3ELFJOQyMKualhT9Xzi7xIFUtcv/rkrKjheQonYXS0PkBbz93ZCMi/8F8dKZvfS/feLKeJJqArcXAPbS+u2oO1lDVu/1FjJad0KbLEsa1JRlM8hwlgf/tUe1iscprksrJdIwOc+J6CjsxP+8A9lZnjvezF7ejA1UXHKX3czDlserWRaiarKo1iUyVLTJDWh67BmjSyjx8ZktllYkNbya6+Vz6ZSMD+PkUrT98gwQ2Yji9Z2rrpeZ1UwSbZ1Lfrtt5J+OoLXk8Gyqzg8upg4fv3rUr5yOjHjcQrRJLMDaRYSCcorNTZtclDM6TyT2Mb6extxphfk7jt0CHNmFkMx0OIJ0vVrKBgB1lwZ5L+nf8wnnr2F+byGzR3k9GmIxSwWNZ1sQWd9Y5KipXBN5zzHR0IMxCKMjP05I/NfOn9JNe1Oamv/nbe+xUZjM/Se1YjGLNZ0WkxPw4FDGn6fhfrQTxj/2nexqmG09i1Mb72NkycVJiYg7NL57ndtKJqYYN59GzQ1w+CQZHoWF2HbNhtqWwu2YCNMmoRDGvGESiolHfJ1V9ppKk/R4J9naMaDnRx4HXzwg5dv8V66HUZH5WtSVQFcL6u8o6or30AiIWXDfF5OsqPjZSGTJZmkX5N4zY81RlbIoroHsvsg9SSggv92cF8pZpmTfyVkXisKugrqFrFZMHThXRTsonGTCECuCO4MOH0w1wA1CcmOVJwDLQ2h56C3Ayo7hVRr5CFiQnZMSLyNSBklsAdyj8HJFpgNQDgKaQ3sDqhSIBeHyUegOC+/D3scEknIZWGgFtZsKGVDstAcgXUhoAgzZ2EiKDYPCRUyNojr0GLAuTcJkCk/ALEyOBMRio7dFIJuzi63vqsOzpSDMgtYC/zDgZuZiIswtapo3PWWbxLY8UYe74B5P7SNC5WpNgFzJtgWYSENjZ+DaQMGmqHnjyBWB0fT8LECVD4F7mnpUtJtoNwlw6SxWPriNHA0wZ4IaKNwvOSSPjEHAyas8UB1EJqm4LmrpFyYCEFHNfyRIlmay0UiBs89LaAxEIatV4lj+y8aDk1Kbi8ZFvAA8CO5/3gHcNMvvl9FgdCrcJxZCcDxWJY1CWBZ1qiiKK8C6tAvMQoF+MIXhP/idEo3VGurkClOnxa1OZ8PTp/GrKzFyBfQZ2fQzp4iu/kKzJyNVMKDPech5PWiLHFmKiqkHLRqlSyfn3pK9uVwCMgxDHleViZtwxs2cKJqD9+K+nCtbyVZcLD3EfjMH41iXOXGo9voCM1wfLICh+Ygl7azYwNYPxxCKSnJm7oDJR7HEXYzWwgyPw/V1SoeZ47VPQ+gfn0YQiWT0FCIgupEOdODYhTQHOMkYxlm7/wdftSVRq/IUV6hMZMPUuOLU7bLTirpYkf9FJvq5vEVkpw4VmSnI4F++Pf5t+mz5y+p13YDLWu+TV2Nxs6OKPMLClhBjp9UCAQhlVLw+xXa1V46C98i0VDHtKGwue/b7K1Yzf7uVgYHQdedVAZylAWLpLNw/8Ne9tyuYiGXcPfuZcN2l1dDtWvMzS8bZloWnBgOUBbs4I/v7OexrjAxdxW77rS/ILgBIRfPz0smZslM1ON5BTIgliXgxrJkh7GYIK0L27Re2/GaHmuy4zD4dem0UbIQmAdnG2BA/Adga4aZb8nEqaWk88cqQmEYjBrQEqBOQKYK7GPgmoSYA376RuAGGGsCZR+s3Q/P7IDyGZjVYNUU9Kch6xa13cpVUP1TcATAXQHWGOgj8HQ5LDjAYQAW2AqS5dBt4FbBSi27YhfzQF4yHPmcCOv5KkX19/NuiARhuwKth8G1HXpPwmi5dCF5tsriJOOCwjQcvVL4Ox3fgaOdJQmIPITTsv+0D/rKIGCz+PL/fweLs8cBUBSVG9/9VYp33c3xIKgF8BZACYBDgdgqiI9Bxg7XPSJZl5MV4ErDHf8C++6C4nE4MA8dC5AJAgo4oyJ8WLwNHCcE9PhvBr1Ejq5yw8E8LMRE3dmuwNN9cEU9VM7D3afgZD00N8AdLwJuAI4+K5YR/hDEo9BzDDbv+lXehaU4DXwf6U1fkhJYDax6Bfb9CsZKAI6uKMoNLHu0XPocy7J+cauEVzpmZ2Vp73AISeELX5C+5JoaATKFgrTpZDIy0Rw6JFkYS3KuitONFQzC7bcTrdnIk4H34DqwF1t3jPK3fYad8UeXS1RTUxAOk/zAR7B++DhOA2yZjJSHluRyl6SC6+tRRqJErBxl47NM1WxhwfCT8FQRyHWj5WBzbRJPXZBp08+h4/C9bxfIzjSy3etHUyyKuSLZ9VewWN7OVLKJTEY6aW62PUu7fQgzUolZSKLu3Qvt7agTY1jpFJbbRbH7ND22UYZsqzkzacdRB9m0yW9fMcdM0oOiFLHXWJyaqmU66SIfz7OoRygz50gm/hth22dZKJwlrF/BlZ6PMa3r3LJ2jDZnlM5VFv78DP/c1Y6iqGzbBjZyOGeGU9e9eAAAIABJREFUMTI5Cg6TSI2d3KLKwJFF7n6XVPVyOZXRUSfJjEXfCJwbVJmLymX72McunvddTotbboH774dsVjnvUDEyqnAmvYr2lmru+ri1IpSSyy1XhzRNkinF4uU/OjUlmZ5AQG6hl5WaXSqNLnk62GxyL75+4jUz1lgWnCnCjAG1OrQmYfI+yM1IFsV0iYJudQQogJGDkZNQHABbApSMtBO7cuAdB9dZsCohdVYIsHMfgJEz8MAeyFeCIwU7FbCtg5u/KiTTwU7YdQrqo3C0CvxhKK+CtAFjmlRt/SbUBcCaguQWSM5JlsXnA18OIj7hgTx8pNRthTh45xBKX6sXtFlITIERhydugfBxCFTCwfVgVEN9DxztAGcK8uWwtwz8WWgrgLtdzr/8BJhpqB+SLzvrEt2cn9wOR1ZDzSi0nFW4u+XP+UrPWyiaeZo//m8YN93DnAa7H4fQAsyXQ2ENrBsBgvLz8UehaUAAo5qFqANah8BxQDIthRwM6NDuhbBfBBkHhyGlQVkn7LjmYuPdDreU3CYBXYFgEWZS0DUN3ma4rRXuCF+sWfNC90gqDt6SpavDBckXsHjIAYdL/24AXjaLbxFpcVtCAErptdchwJlB5MyXYv6S5xbw67HEnJ4W2dtkUiaTH/942WjJ5ZLygN8vAGVhQcDQqlVC1PB4UGcmwTCw3vI2jHvew1ifk/Yak/iVH+DspJ9TMYN1s0/i3blTSl6zs4zWX8mZj3yLjbNJMoYL1e1ATei4N7XjrKgQIFVbC6ZJy+AjJE7P4Q7odEw8SnDb+ymfXcSYGKPgbkWrqqStsMCzR6pw24uEh7t5RN1DxHWatuJZchs2c2Lr+5gvtDM4rJ/XrrGOzmFFPFhA0VSxLyxALIbW14Ph9pOZSvDD9G4efrSW+YzQRaJRaKgpYLdbJDMqDq2Ix2FgGhpdvW6ayi1Oj7iYnqnHNN7Jtf5qjiT/A0f+Y5zJhmlzJ3jbnTlUh59iEdZoGYKPprDbfaxty3Hyp2NMO5uoUpzU5M9hj7rJ2hwojQ34/ZLgmpyEcFjhe99TGBmRil5ZmXyNP/uZCEED57uTVtXC7/w2TE7B9LQireSaYNn+QZ0Nm198NbUUPp/sI58vpeNfoMwzMCAd/EsGndu3/1yuGM8PVRWkFIsJuMnnl9vLXh/xmhlr9ubgwbTwEyzg3v3CzShY0u6rpsX3KfO4vGfSBVZWumzMvGQujDxUpUvSy6aQYL/xLhiogl2L8I4uuOEE9ATBOQmeXjhyEIa2QsWwtEPXzUNoE4RN0cbxN8LwIjy5Guwx8Mdg3RRs2AB9bgg7pYQUd0rbc0Ma0hE4aoCrDRxxaF4A/4Jwdqxj0t4cqYSZHOSc4M1A5izY58Qvy3FYzClTHhiKwKwu3T7RAPTdDuu7YM0zEC1lSAwdtCIseCHlgvd9CRr7RZMn47od860/IDk7itL5XpQp2PUUbDsiZGVHHg5PQfpm+H0Txr8M37wWRutg10FIFaGiH/q2gxIFrw9cNshrMDYO2ilIV4F9Peh2mJ+T9vlIeYn0/Tgs7odNBqi1kFwNvTFw26A6AKkC9MehdgUIRFGgahVMDIPDKbyq1Rue/74i8FnEbV1F7oe/hOer6v880YQAnBnEJ8LFaw7cwMp0cBpfgeN4ZaKrSzImTU3Lyr4TEzIrlYTusNtlKb6kcKfrsqQ3DJRsBtXhwFzbiT4xAmonmZxKZTBL97AP3aZy9voPsOXBv0Q5dw4WF3l2cCsb5g5gBkIMuNZhWgplhQkGEldwc89e9JkJMuOLuLavw5eP0ranFVxOXGaKrZ37sfeD6XOQj8cx4nGSsylmZjroCM1iejJEy8s50/oBWlPfxhcKUWOb4dxYAtO0o2kKdjsslrdBbADVaaDEFgTQnTmD2tODgsKis5WRvE7coZAtymStaTA6oeF1FogY0wSycwTMAgu2FnoNL6fn3KhmkWJBB4eLQee1bFYrOJ0qQ62uYtfGWQpFiM5ZWJZFeZmNdevgrvdAuTNHxPYMi2uugYr3oR19hFzepO5vfo+dgxHKtTmcC5N4NTtGqIG1a53nm5Cg5Aujw+A5i8H946yvmsXlt+NZ00Ag4EJVYX5elIg9nmWy8Eq9oHw+yQ7Nzcl+qqouXsEtRXe3kI2X2rBPnnxpgJPLCb72ei+j9acowrkZHZWlZ339ZVr4XrvxWhprHs1ClSalklQauvpgkyXtwUtg2W6T9t6CC2b8sPkgZD2QdoJalDnHKhFVrUHoiYC7XzIrP2gHZzvs7IbwnHRUJfphrEp4O+mslLr66qAlDnoBZgvynmwEIp3Q8CCUHZb9p/aDUgOtleKDZWhQV4C0Bfv9ogIcqICFTTA+CuvOwqanhUjrD4EtBYYC4ThMhcGfEnXfLSloeQ6+dwd4SuRjd0yAiG7CTBjOdkBvp1g09LVCPCDie96UZF6a+qW8ZjPAl4Xb2m9hPgDaEwIetx2U1viCU1q5O7ohfCvUm2DbLro6Ax2yuKmcA9rhDX8IP/0nITwrcci5IL0GYgbMFCDoQDaOlAm7H4HjR6AwCzUV0BaBNSMw0QoTDqgvA5sumbifp0V6/VYxKY0tQHMHNF6mdD4OnEGQvQIMAUcQwtqLRdQQQ9Ey9TKKxjXA/wP8BEnL3YEg1ddYvEKd8q+SWDKlBMmwjI9LqSiZlJnQ71+WoF2zRpbx0VLvWyKB4vGguN2oRgHmJunY2Ma5foP5eY1kwmTDRoWcvwETFW14GLxe1o3+BJeZoGC3U7C5CSZHcBWTLMRsnJ3TOFb5PqKFBtwndd5oTVDVqklRdz4HATek06jZNE6HDbJZbGUebuUoillEbzbwJZO0ZMZFzat9NRPGemqTkyx6ghSLOvPzkKrYQHaThWP8NEl3NYW1W6iJfgetrIxi3sSajqL4NbKmg3RaTjmRgEJB5/ThDNMDSQbyjQS9Rd7buZ8uhpmc91Meegchv8lM1EbUCjKnX4E9YhLwWvSMeskV03gdeVAsspYbf7WLQ4cA08t6ZzXhY49TrF5Fqn0zY+Wb2dXZxG32XuaH00T/L3vvHebWfd75fs45AA56G2CA6b2RHFaxq1jNlmVZsmRZspXE8ZWddZzi5Ca72cQpTzZ37+YmsTe7iZM4xV7HdiL3okZLVjVFUuy9zAw5vWKAwaD3c+4f71CUFTUntlXI93nmmeEQGAA/HJzf97zvt9T7CHtqpIeOcPbkFpqbLczOCuZ0OKTpte/hOOt9s6ianWyiiOX0eewbV+PzaqxfL/h1ecU+fMuWlwcpr1Q+34+q9F+urFZ5PiAg6rWmX4uLQukqFuVQvP32SwGiP/JHLx/Ozdu2dEW6NboC/ufAkwaXKsolsyRGfdYshHshYYdUVo6Lih0quhjSWRUwdRG6mO1AQu6rOUALwf4eWPcg2Etg8YH1jHBZEl4Zj5RV6QRlx2F5AHJBUMrgqUmSd/0U5AegumJsHp2A2FrJh0pVoGKBf6nCsk3CLrcp4M6IeWBjAepTEGuEoi7gw9DgrkdheA0kVOgyIVgUP51PPgBfeD/UfBBNQcmEjBMWwpBzw5M3g1aSzo2zAEk/DLUUGf3cb9Jd/0dYnY04SzK6cyZFEj/bifCAakK6rpryPKxA2xkYGRX1Vbsh47HZDZCpwdYdQuhdBwybkHXIWg03wfPr4NpdkFo57UcdMPdZOJoRwGapwviyjM8adbimCZpcsG9CIho8Ogz+GOZ6Fiv0vYZ9w8XTioE0XQwkHfaVyjThsQI8tmIJsNoKv+iW4+lHqgf4jdf/XN+KdXkBnO3b4bnnRHU0Oytk4k2bZDdfWIAdOyg2dbHraymmpkOsKc9yTfoRrBcjcvN5md985Stw3334LXvpmMtzYqmFqy0qNs8mvF7QUkmRjtvtBGYqLC54UMsQSI3jri4zPfhOIqvDDFfvJ5X1El6+QGbBxi5jPR88+pccsm7j++EP06xEuG/bGJ7BQZiYIBtq47mjLhYzOnaKdFkm2VQ3T21hlqF0lAce2cTB+Sht4QLvuq9KLGXBNKG9Q+WrxzdQLqxFo4LjgMmahnvYFJzneft1xFuCuML97LBYSKcNRkbg2BEo1Uy+ubueLcEM6+smmMu6eeDAQZ4d+lOZCrWXiIR/kYpRo9U6yzWDy5yaCjBVqGPvIZ0DI0E6m0sYpsLotAunW1uJe1A5ab6D1c1jpEoOygEvjX0+rFZQ4/NEEtNMTUUYHzfwLE1Syw5SMD3U1wv5t79fwELYmqWmWMgUNFxOFaNUkFaKpuHxwC23yNtlt7+KrLtahaeeEl6WxyOoo+HVz1DmSuJCLCZOANGoEJKvv/7VD79nnhF8HQrJIffUU/ChV417vFJv1brXAV/ISUdg9Tj0z8lG5XMJadZ7E3hGIfUMZEywNMHZNugZAbxCyC35IKJB1wTYR2D8XXByAAjLKKglAZoL6JITeb4MvUMikS5aoOaEkAmjbTBZJ2Z1ngwUyhD5PsTnIA5ozTBVhncX4GhArq02T8Lwd+F+Aw5ugWeuhmfb4No9QlqeqEGxFyIl6FiWrpBzAM5qoOThukNQl4ZHt8PV26BpFj70txKS+Q+fhONRSLkEMDjycGZA+DdaWboxZrnEM5+9i8TBXfw335P84Q1PUbO2YGpwMgrVJqifkbUeGYSOYeEGoUFmtYzMVCsU4hDeBl/ugJxN5N5XB0U+XleQuIwf5sE9B82T8M2dkL8FLvigMQkf/7Z49JQcEvVgVgSILS1Ds1v8bAY90BIQ3lPQIcTjl6tyHOa+J9/dAxC5BdTXUB7la3A4Dr4SnHGCJwhdKmx7lfvMG/BYSTqIGnCiAifKsOmnnw7zpqvLC+A4nfB7vye70kWzvlxOdh2PB+65h8f31DG+ukDd6Wc52Xo7xaZubk0+IPeNxUTum0oJOdnpxGd30N10FUurrsGZvUDr2ma5nJ+YAKuVqK5jb4ty2reNGU8f2bRJU6TGBvtZdp9vwOnXoakJ56kzJPUoJz3bsWTyXJd9hEdGP8G36wb5xTvqYc0afvgoJOPH8LsLJEsOMjUnWiXBNy13cehklnzRoN/cx2R5gJPHatz1oSoOF/zpn2rUhRRUVYMaWPUap1PNFN77Z6QXChw+ruPRHPh9BkuLBn29CpUSTI1XWY5pBF0lbCak09/kifE/w1zp3WbT/5u7Nl5Nv/Ys197mI1V2cktDnlmlgSfTW/jid3zU+WusXqOwaYtKLSaXEJoGisWK2d1Li7NMNVti91N5Hn/cweambtZn5ygvLNFmLZD1O7EUHBRjsuw2m9CjxsfBVuem3VwkvmDB9FZxN1kvRVFwKeLhVev4cSGSX8yA+NrX4Fd+5VW11RMTknvq8Vxq+L3nPdIMfLXK5y+NpXT9cuMPX141YINPWcSW34hBKg6loMiOw/XQeAfE/wK4CkoHYPVpCXEsumG6EZyA3SlJ05VW2DAN15yGWBjG87BzEjYA9mWJUajpQladWAu9DsgkIFWGxQjkHdLlqGhQrIB3RozjKl4Iz8nmPeSH+m1wczNUZyH2EBxTRXV1/TMSnbDQC23zYC6DoUhnKa5A/7mVqLz7Yc4DG/4aKm5I67BtDxy/V1RWlhGopsE+DeuScHiVOAH7MqAZ0oXJecCSK3Pgrz9A4vAuABZT5zlofo/1V/8acRNO90JwGWajkIpAUIczCXDNwTUbhIukrHRrFU06Xa290DgHxXn40pS4ODcEwJqQfKegBWKrYCYA4y5oi8G0B86VpANiq0HRJqGpNSdE2qDpNrCs+NT4X0OabZow8w2JubAGIX0CrF4IvePV7/fgAlzIQadF1F3rgPeHZKr0SlU0ZRRoWenYqMio8XKsywvggGxc3d1ySd/bK0xRXYePfQwCAebnwd/gQDsLPjXNpKVHLtEnJmR0EI2KBPzQIUilUBMJmjxumk5MwsaPwGheOgBnzrzAUvUPhtnZUqbmHCe57yyeQ8exTvi5LqnwaNevk2ruJ29vYW35MBoGzZ4kirnEaEuWiXwvAKZhkl3IE9KzVIsKLt3ChWILz59o5LM/6CafrvIOfQ/WNp3WTgvJoRitkRD5ip0NG2rMzVswDCjVNCqmRi4H3/gePP+8TjJp8rv/tUZTpIZShXhSo6fHpJKt4aoVGFL6qMUf4NnxP8akBkCbO8pzn/oVmm1PM/zAIRKJd+JqtFEtGawLxAnfWGbPWQW328K99wr35NvfFl6LrgtXxaEWiZRnGB41aXVaOLkQ4eEjUcaa38mq8DHiUxkOu68mU7Dg918CB4WVRo0SCjGWKdNojeMIOrAPtglpBuSMsrwsff+L48eXq/l5Aa8Wi9wmFhPk8SoAZ35eJklOp3zF44JpX6sGB4WUbLPJoXHtteYLc37gzeOOdaV+IhVQwa/ACU2M+ComdPlhdR5qScAEM7yyEangrEElCDOtEPaBRZegR2U3zFsgbcB7vwuLzZBZC14FgjUwUpIa7vTC2CrwRkDPi8qqqIjkOrQkXjPmysYfyorqSE9D1Q3zW4T/A1BbEBl7JA8XWiGvC0jyzsJoAFoy4MyCLyugKeGT7ob+V9D08yIvz4al+5AHrEswvAChGExFgTI0LICvSYjHOCTvyb8ErkSFJz//IeYPP/TCOnb/1h/R8Zlf4/kM9H0ODAsYNsh6YSkKG1PQbIf2a2HjFpgwIX5YfHlULyhNEDoKzmOgJcUl+YIOkzZo1oUUfeom2He1KKda4uDU5Jw1shoGD8LqEIzkodIEG66DjZtBWznVlFOwtJKwE1wFtpcx5zPLUElKxwcEGBVnX/34MU0BN/U24dA0IXyu17KbadSk8zddE3CjA1Th+ylosMKg42eXMv5G1+UHcC7WD34gYKWtTQz4zpyB9nba2ho4dQr89S2klnUGKseglBdi7tKS7LKTk/L9Ygrlig1lcSpGXgmg9W3CXamheVcSG/v6YHgYLRolNHMCOpqgo4O6iQneVfgOh4O/Rn3hcdZXDpCxBimUVPLeKK7TB7BuamZu1kHD7BHCw3H2nvGjYGKPqhyb8nF+zk2wToV0gSPZPkK+HLllG5tal9n1UB01p4pRE5qR3S7dk1hMJnJTU3Ll1RAxiYZqFAoK4bCB22uybx8Ewxrv6x7hwPB+/uX8f8WkCkAo2Mv/u/Ej2GNFaLYTX3UNxe/vxfGhG4g2mGRMH22DXvq2CwCYn4eDB2HPHtncXS647TbQ4ilyGRif18ngJhoosZTTyWoBYgPX03ErZIchiYCITEbeOsOQZe/uVnA4mujqavq3IagX4y5UVeZZF0OiXlqtrZLSfjH3y+t9dZtipFNTLguouajUeo27AJKx6vGsxJNFTTq7XnID07wCct5mlUjBmSZonJRE7nhFvGZCflCsYOZlzGQuCwFZq4K3Cqkg6AYU49C0KMRje16SruN+sMdgrgQ+A5q2CweHZVH+5JeE4+JSwBGW0Yk9DmoZvBYYOAfRJTCzIp2uKjC/BM4gRObB8jkIPAk7StDSDkNdoraqBIQz0zgBS16oWxTeTVaHER9UssBZ4RqVRyX5+2wIYhqU6yQuonlaUsCLDmiagrFOSFpg/Rg0zVT56kMfZur4t19Yv8EP/C7F//bHXAC222BgFHQTDqwT88OrinD/ThnFOJfB+DJE94i8vmIF3yZ4pwaPnIVlO+CAcFI6WDU3GCHoXge29aDOQ2AOztrFlTnlhKVeCDjA4YbeTvCsE+B0sSo5GPkaVPKACYmT0HefxEK8uBQb2BtWOlke6WQFNr/6saMoELVLxEbAAqkqdL6OCARdgV/xwPMlKJtCkn54WX5fNoWjdcMrXO+93eryBDimKeQMh0M6M8WipHwfPco7/uD/wWIJMOXvZ60rwdULY+DZJLOO5WWZTSiKdH9OnpQdvL+fYlsvSx2bUFxOjJ6NlHUfwfP70TRNduaZGSFueDzSvtB1lEKBSLHIrer34e52OJ7COzmFFgjzcO46Hh9bh8MJn/uTGHe0xPjioXXUKjVKmTJexUeg08/mHgu1Ghyr1ihNpbBUK9y0Q8FmdaBXMqjFIqmiTjrt48IFaS45HEKg9ftlGaiZVItVSlULNo/KVetKbOgpk0iq7Pq75/jagU9hmNKicLu76ex+mn+1RnhmvsovvFOh/RaTH/yqi+J3j5AM9hC/7l38WrMVTRNqy/w8PPCANEkaGmQq+OCD8Ct3Q35BCHsFwU5UqwpOpyzxunUSaBmNwrPPigdjqSRy7PvvF3D2iu/v0pK8UEWRds/S0ssDnDVrpGNz4oTMm2666VIX6BWqp0e4QCdOXMopfdmU+ZeUosh9e3r40c7NlXrbVrEMSidoS8AwKGEoZkH7DgR+CTKPgNcO+RmwJ4AgrPfDWF6UNY1JyTEq+SXqYCws8mpbBbDCUBRK56C9X7gfHadlhFV0gb8ZQs0wtwxLRQjYwRUC9/8Fyv+CuRY4NQiP3wJuDTw+qH0Brj8nwY5KGTovwD/+FhzZDCULeHLQPQLuPKDKzyVdvHtqAXBm4K/uBz0lEvaxRigXwfAJOXbgDLzrMTi8BcIJuOGHwvGZDddY/Pr9nBv+6gtrt/Xq/xvtD/4H2pLCNUPw4SDMXC2y841xqIVh850SUWEuQu3PoZYA4yx4faC8AzgBa8/DNAK0sqZ0NEwTUEBTBAjeBuQD8OgF+UyPaLA+AZ90Q9vPXxp5vbRyMwJuHCua7UIMcnPge8nFi6JA490Q+4FwcOqug8CW1z5+7orAtxdgoQS9Lrih7vUddx4Vbl4Zm31mAUIWMWssG7A3dwXgvL3rohz32WdheFhaCj6f5DnNjnHjjQHkmuBa+arVxAxwYUHmDOUyJBJMah1Ml5ponFTw7egEux0tvoA6cYGKJ0AtnUMLhaSDcP31gibGxuTvOByg65ibt2A4nWCCsmo1mtOJrjrY90wvA7551NY27KUyTx8PYNGgPVpFKZaodPiwOKxMTq4IbzYFCLtO8tHyF+mI7OA7xVtJFXVmzpaZSlixkCYcsJNY1LDYFJxOFV2Xl10uqRQK0Jo/jWN8ipmzQU7bN5HLPc1nn/5DKoaAG6feSk/PU1QqjczMgqap/PXfGvz6r5nc87W7OXD4HiJovG+7AAC7XV66xyNLGKozUEwTh10lk1Gw1PnxFnOs6qvy7IEiw/E66kIKwaCAm4uy7muvFTxZKglV5qUBmC+uXA5iC6CmvDT4itishvyyVhMg+1Ikoiji7Lz1FeKbX6ZUFXbsEM76lYbLlXq1Cnol7iBlBaUXrDYxz2MPWO+H4C//6O0LF2D276HnyEqWUUbcg09sgJIHbEsyzrGUwZcGrQJpFbIjYN0IbhusCcGJAozbIZOTcYW3D05E5e8dBSq/AGpWjPEW/eA0obUGS3Ni2ucMgzUMMQss9IBTB1sW0i4Y3gThH4LpAF8eFq3S0ZltEiBRVSDVC494IDQFVh30EiwHIB6C/iEIpuBcHywHId5gMP4nH2di+MsvrMPVm3+V6qc/Q/S8guaAR0PQ+WdwbQGiPkjcBt5OcEUgmwN9RMZq1AFOyGpgyUr4p9WADWth6BicccFso5jzda50Xhu75TGdOrx3C+xIieQ75Hvlz7dpwMwELIxBuiDuz/MWGHNDpgRbDQm8fHFZPNB41493/ARs8NGW/1hz16PCQkUATsEE9+u0y3g71OUJcEB2zUxGAI7XKyOKi+nfLy1NE0nO7t2yWVarnKz28w/mrVjVGlv3P8JW7TEsN7wDM53A1O1gmpj5IrW1q9FKJekiZDKSGdXbR9npo7z1Wlznj2MG6iTUZW4Wwx9AqYCqKdTcPpRqjblyiNXOKUpzFQxXkYqi43Bo7LhayLajo5DPKyytvpbn1m8mGU3iPDLBuWwbRrWGoVgppCtULVUKRY2GAKTSBpWKKg2lQQX72BCpvc/wvdR6iqZKTPkqj4/8KpVaGYCwr4Gfu/WrHJpqeYFHoygmusVg3+4a116tceN1Btmiyl/+pcLoqACBzZth9Wp4360lIs4Mdjukcxba1sqaTyqtfGOfSaWmoNk1enrgne/80WaLorymsAm41IgxDAWzHCU+tcw6zygWpSazsdFR6Op6GQOaf19dATdX6rXKaYcbt8LQaTAmoc8lhn+EeJE/86Wyd0qgZuyUpGtX/fBkM8TqoOyEagTah8FRAEcOCk5wFUW6XdVlE93jg6Nh0G0Qa4ZGC8SsUBkBVwkWHDBTB/2aBGoaVsg7YWIeMhvhhm9KZ8LtgsJ6cNlhRwRG3LAIDK0DjynALeyQTpNRleDJgk0M6+zjojiqmZKGrWiimDp1NyhD8FC3pG4XLSYX/tevknjy8y+swfta/hMf2PlXfL6iiARegdqSjOZKLvDGwZ2CWRs884RI3j1F2I4Qd59dB1MuUAKwPgxbuqHNCYfcEMuKNDtjiHNxbwRsL7rm0a3Q+FrCBOD8GRg5Ic3elBVi83C8BdzNkKhAYhLuaPvJnSP+I3/nNj98MQ7zVXEgues1xBBvp7p8AY7VCnfcITyNv/kb6a40NYl2t1aTDs+LKxCQS/ZPfxpcLp5f2o5Hy7Gt+AxtDDF0up8NPeepRlvB5cR5aDelbJmRhTp8C5PUF+PoxQxmIMisoxtzZpbpEzXWmga6kkQpFVEUBZxObH4f9+yc4V+PDmBMgD03x/XvSZDxNnJ8LIot6OGeHRoWizzNQkFU7zfdpKAqduyxGNf0xOiLLTKdcDA13EbabMDjN1AxCPoVenpVYjHhwiycT7Pmuc8SW9K4z3qaHzhu51gqT6VaAsDrjPCRd/8L3Q0BHjsmTRDTMMgulXE5M9QvjMNkEFpbefxx4W1fpCw99RR0dZncsjPL0rKKxaayKVTFHy0ALvYfsmB1QCQo3JrhYbjzTqEuXbggV1h9fa/vA55KyVvndgMuG7mkn5zVhy9oEbRVKAhA/QkBnP9QKcpKn/wlv7tSb7vyuWGB3qPnAAAgAElEQVTLzwG/DTwkQKC2HfgmWG6W7KSLpSjguxnKD0LmHMzkIKNLinbJJvEIhSikSzAfhegChOMChioWMIbh5HaRaFu6ID0He40VDo0inB2LTbxzMh7QA2BVIWeH8QXwhGHqdojuBnRoboXGVphRoc4NbgPecw427oOcDuWEjKNMxE/mwGYkx6oENQfoVSHFWoFcBOJdMArMh4V0PLi3TPzYGImV1x+6/SO8o+/vsM2p6HlI+SHvEjAXOg+VZTAawUzBgSMC4hSrSKPPbIXACZhsFi8fsxlOBqBXkQDPcyZ0BIRgGy/DqANW2+E8wvNr5/VHIExfENWaxQp6PwwvQqQXgh55/aNpKNbA8SbYYRut8FsRWK6BV5NOzuVSb4LlfwNLUQTYrF0rRONYjMpXv8HJkxZy1/no2N5Ac/NL7lMsQizGrZm/57DnegJqioJpR62UCP3wO5QLNeLrb6KSz7M4UuAzJ6MY9rvZ1L7I/asOoPT14nh+D25yuJenMHLLKDMXUBQT2tsFROVy3Ng7gffa9UydniIaKKMVMvzq2udI39yNkyKOgT5maeTBB4XAu7ws+/aWziUCRhKtzksllidqibPea7KglZhU2nF7VCJRKJXFsDkeh8qTu6liYcEMYVdM3sEznAt8Auvaf+DM+T/it3/xX/C4ejg4JCnfdXXgtFVYnCmz9boKt99msHBqEd3RwFLSilOvkp5Ik0/D+LSXoF+lrs4k0qCiaqAYyguGizbbJQXSRcfhxUX48z+/lKjxrneJX8xr7f8XI8Ne+FJVLFblR8HEj+P299OuK4Dm8qkaoIC5A2rHQDkImTzE9oD9/dCwAWwXCaSG5FCpeYjG4boknB6QEY9SgYoHrI2SsdRVkq5FLQeVXaCEwLkGamtgoQizZQhkBEzc/IzY/A/W4Fw3LLVCQYf37YD0FCSnwJOFcRWyXWD6wFuDX5+C5zzwUBLqnDCRg2AUOk4CumwiOR30IrSPwXg72HIQmQRXHkphsNsgZoJlamWUVAFXClIRnZs+8V12f/YDVEM+Gn77n1g8rLLjMHzi8/DUNZDww87D0D8LljykTbBvgMo4aAlYmIa0Ew5ZYJV1hTitgd4g6rJSTUZVCjLuUxX5blVgF/B1RG1kAX6X15cFojugsNINqpTA5YOMVR6jZIibtOVNBCTsKkTfRM/nZ1WXN8ABUUT5fDA8jBmuZzrt52h1EOvRFMPJet51qyYgp1KRdsTOnfDgg4SJsy75NDFrE4ppMuicR02mIdKMkSviPfo0Y5Ve7tYf5qhtO8eX+ni6YuOdw0/jteSp+MPYikX0ffsxW9uhLogyM4uiWUg0ryWbrJBSfNRHM9TZiqSi64lceJTQzLiwck88zx7u4ZHnutBtBjaqxOcV5twKO3vAsLup79HRv/EwHxo+jqZbKXUP8HDnbzKW7kGxqOz/oYCJ99eyTFciGDYbC456JsIt2PR6tjf+PDuvfT/d/VVSUxkm8y00NgplKTlRYKf/FJ8aPMWXvruNsTEodWqYWo3q/CKDHcs09FW472ad2EInIbsNv7OEy62iKibKigx7504YGREismnCu98tk8BCQQRutZoI3m699eU5wi8un09A3tJsAT2ToNW+gLPeJeQd05RR5MuNIK/UlfppVxJQwCgAFqjZBXykF4EfwvIUrLlbxjnVYZEgOxugfAYsCVh1RiTV061C/k36pPtgK4mvTFkX1VKuCGtOwKE1MBsXpdP6UVj/LLjTYPiFI3PdaTizXRSVc6cgHoE2Q0ZKx6LQlQFXC8yUYPrvQY9AQzeEa8IzORGC3ppI0GuGOAgfG4DAsoziSrqY9ilAx6SkbPek4OkbpXvkdkLWCUvdEFi281vbvoWGyqMxjcERqEXAHYYPHhNPH+1GUHNwehmoA/370D8KxmGo9yCgsARLbYAHEgZYzkPdKgFlVg1urIMnVlpFHgtc5RdA04R0mBaAh4FPvo63s3UTHHwaEiNibNjXL3lWsaIQl29tkc7YlXpj6wrA2bQJdu2CSoVqOk7cu4rI5H70BYX07BDj9NDcH5cd98wZOSOUStiqFZocSXw2BUpF/DYHtLahWe2oo+cpe+qwhBtxx/JsLz3NrNrEVxZvZmtoLwGbjjq/gGXiPGo6BVMTKOllTLvObExjNOEkaE1h+A0yWgCXamAr5TGyRbLRBqzVIrZigu70Hho89bS1iU9OqarR3mqg2W0YuSzusyew7HuSoiuElk/jOraPd3b0U9la5oP/Yy2ppSodTWXO53vw5h7D6mgm3riWos1LXaMbw4TWqJVtO0wm5iJ4L1jocYkgzBvS+XDrPo7tVjg8BSlHhPP7bGiqQatP51+faeRDNye4pTfBVD7OodN1NNZbWT1Qwx2wSW8ZEad94hOyrG63CJmGh4WLfeKEjMP+TZzBy1SpBA8/DIszZcyZOdZGF2lpGEc5VBZ05PHIWPKt1jVZWpJjLxR6c4zWrtS/rxoBFyhxICvZUbUsaEWRTadjUPCByw2VI5A9C6UFIRZrFXDlYPAUJKJg9YO9Iqqk4jLEopIdFUhJDpJvFgIjsOUY2MrgWJZuiaUmICBjA7cC1dNgzYMrC3oQZp2wSpNwSdWE2sxKTlYFhutlBGZNQ0dKHtOng1KSoMizbSsdEhVCCVgMAwqE4uBeltfsy0LbBdit7cUZ3kHOA9E56RqNDNrYsR9+43MQ8IIvCpMOKGjQvAiecbgAnO+GYhDajkMkCf68jO2SPojMwCPvFU5NMAYDJdi8VgjDANv90OWAnAERm6yVkofaSTAyoEVBGUD0Ja9SQ2X4vAK5Aah64H0JAXVbTYjeAnbtzTGa+nHKqEBlTsZ91uhb7zT5SvUWext+CnXvvdKS+MpXUA8dxp85TdvcPsr1reQnrDhOFKHDIo63odALAAdFwVIp4rckobVBzP8iEZKHxlA3bSOrQL3NibPbyvIPT9JTPMnHF79BBgezbduoXz5IVDUl30pTIRHHaG4jp/nwq8vEayHmS37suotU1oFey9OqWtGqZUqaA7OqQrlMty9GPBulWFIJuCsM1s2hqFaWLQ0EsgfQNQ2ntQaKDTOdxiyWyC5kiS9UWReZ5cPrRxldGOO/HPsWLms914Tvw7B00WJRUTFZv0nDHnDREbARCAiFpa0N3G4HHfffy8Fdi0zFe9D9DipJhSoKoTqTVA6UXBq1mCdjqNhsBUanXeRNx7+JNHC5JP/0xf+emTFZ01/FZjUxVQ27/dXPOufPSxco4sxjWDOcWGxkVXOaQGlWyN11r09f+eIRl6q+wR/0o0cvxZV7PHDXXa9sWHil3tzlAX4XlAdAGQU1DY45OLsNCiEwstD2f8ARkyn4SKts2JayxDKYKgTSErSpmNBxBgrzMNm0Em2AgJz6GNQPw1VfFPJwQYOyIrdpTMreraRgplFOYxWryMttK6BrOQnRecAiPjn2DGSi8thnA0BAQjW7KhByQLAfsiUxEKxaBBiZgDMHFRss+ySzqnUKmibhh8/9KU8lP8Xau/87LT//+/hS4EvJ+C26CHV5UWAFl8WwbkkD8y5w98P0E6LU6hkWV+GpEDQsydqVnDDWBksusBsyftu5CZwvccWrf9E1gmnC+iNwPiGKtNA4DCjA6ld/K7+eF4CoZSDpgb0u+KAK2SnwW15ZUv7SypdgbklGWU0hcUl+I8oowuIXoTwNmODeBv7b3h4g5/IDOIYhrYFMRgxJolF473th1y60ez5A5LG9mJkyxUIRNI2G2gTYV8vVv6ZdUlvVamLwZ7fLjpzNwtgY2Y51FPu3E9rzXTS7naCmYXaH+UDuOZxuC9lYkkrBwcnGnQRjQ9hb7C+Efabu+zhnEoPMJGyMFNuozFpwuzUW5mzk8kGOB36Rj5W/ituWYdHbSbl/Cxvms6RceXKZKlfXniM4W0V7+gd4/F0UG5px6zaUUgGlVsFUodjWj+nxs25NjZv8M4wvTPBH3/4d0sU0qWKaHxz+JVateoa+AZNqDeYXVAZaM1i8dXzgA5JkAMLf+dfdrazd0YpyFKo1OWFYrAqK3UZ9sEJfY5ZY3kMmX8PlzuPUqqTTrww0TFPGVXv3mvzSLxTYtqGCZjEpFlWyKdergpxyeUVWbrOhmCaYNaqllSfleh3uWCuPX6vJIXJRlmmxvP4U8p9olUqSmxYMypNYXIRjx0T9d6XeElXNQPECKBZw9IHaBMq1oB2Xq/zRDFiLQEaCN081SXRCwQHZEKxOgq0gwGEhAtmgmPX5xyA0AXvXQf8JCCYFdBQckKwDmxMaRyHvltyktEeciOMeIZhWWqC0XTxhUhVRda2ehc5l8b2xZ8SAbywkrsFrD8OkBtmqJIU3LMOmw/JcmlMwZAdvHSTtkNLFo0cDUGCqB9onIbwIny19hv+Z/BQAJ775B5itrdSt+QXsRahbkg6T4oGJ1TCRgpkqeKNgC8KiAgvvgOCRFf5MGTKN4BgFMyc5Ww/dIt2bahX0Lphvg1fKsTQXofoPEM5AVxwMB2imjAPNPnnPXqmKJngUqDpBXRKwVUqBo+71g5tcEXYdWkl9Bxrr4IZ1oL0B55r8aShPgq1Z5O/Z58G1GWzRn/1z+UnX5QVwTFOCMp94QnYtmw0+9SnRIFcq4HDgbfJinJ3FZUyjNTaiWJrEbc404fRp+fQ4HHLffF6IIdPTLzyEM+olt2YdSmkG29wE1Y5u7MPzuJczVEwLJexEpo8wrXeyRB0NxUkUmw1jYBXW7g4ePbyKQkEeplKB8+cVens1FA3OZxr4TtfHWdOcxum34q/XSQdsrPKkaMyMoscNkkPz1J88QV36OfKf/D2Wr3kvjqN70SwKletuZDHQQzXSywc/ZJDfP83v/9N/IV2QwbTD5uCe2/6Q+aTBsaMKm64Scu7Q8SJzyB5bKIhCqqVFmlkgy5PNiufh6KhCuubm+ncXuKYzzalsAEtVxV5OUfSEWc7AH/+xjKM++EERrs3OCte7UpHxV1+PSbO/wtyiiq4rhAI1fM4y8MoGOB0dcOQIxLJOTHcHTeUxgiSFtB1+vdqIS2HzqipvuWG8QQCnWr30REBATrn8BjyRK/XvqWoa5v4JqinABEcXRH5OSMKKCkojWCfAWRagkNAgZ8KwV5RRHaekA1K1SkaTNweFCFx9CIpWsBSFyPv8Vlh3QnxmLnQKGVdTpOuz7JPxkF6SNPCCE0pWaHBBohHsZ2H1KfHD0QtQbwElIi6+A0fB3Q4Fu3RWHEfgu78HV+2DrqMCmChCKSFEZFeDfDotGekY6VWYjEoXaWgAhh/9a/5i4T+/sD59DTewpfluljzQOQ7v/5Y4FJ+9BZzjKxlcVpGdN/hhPi65TYfqoGUWGvbI6EpbB8YWGLbDUgOoFfnMWhrgoBWeBdYAdyJKs6EpuRjr+iYEpiUc00jKGKvkA0cSSoviOvxKdb0dHsqD2gAlYNsp0H3Q9a7Xf3xMxaWDU+eV88zcEiSzEHoDGrRmmUuWBSuxISum9W/5unwATqUCX/gC/PM/i2d+ICBZBZ/+NHR2YoTC5E+NUdP8eOx2LHar9AztdgEzV18tc5CLUp1qVToDDQ2yuysKlMuEJw5j/+qfU1q/jfgdH8EyMUr01JewphIUIu3ovg4KAxupOYJUrY2QWMS0WKjtvAZ9YojieBMVqxu7DWqKi3JZxTDUF6KRclUnrnadYMDEZlfxpQrkYgWSsTTO5/ZRWCpQ7/FgVA1OT7oJrdnB4uANUClzcCyMYa6m3YAjJyf4+y/+FolsHAC7VedD6/+C2eG1zOQNzoxYePbpKpoK6zZF6V8lE7qLUQ+1moyrPB746EeFxhQOi8Tb5VK4cMHJ/xnazo11x2mxmyxU6yjbPDz1mCz9RaXUL/+yAByrVcwBFQVWrwGXAcPnBQitHbw0R3+l8vvh/e9nxfjQR1fnOjTburdun3XFIZtTp2TRNU1cl6/Um76MpyD7GFQXwLYZ0CB3Fma+JKcUvwWMEWgswrEwpDzi9dK5DFhhwQ1tQ0LCrVplTOXyQ1NebptRIG2FbQdgpgHO9UOsHnqGYKFO5ORuJ6R9EFsHt/4AXCYUPeC2g2carHtkjJTTReXUeA6sSag2gCUgsQVeQzo+JZ8AIHsOlnwysTdr4LKC5oA5Hc60gD8NWMBZAacVzgdEWXXk8Od4cvoSdXeg7hpa//eDpAwHd3xPYhXGuiBQAMcYGAHQGlc4RgswZZE1fD9g9sO3eiC7Dq49DadMSLTJeK1zWhyIXX6ohmDII7LvR5HTv/uwdEwUBS5U4d2NsCYBI4o0TIMB8Nd+NIrh5epGu4zPFmrQPADdgz/+aUZ7GZeINyofytEP6WegNCOqM70LrK+D9/hWqMsH4CwuCkBJpyUoc+dOYbOaJqai8uDoaua5BgcFLP5t3N13Gr01ItyNwUF4/HEBNw7HpWCnaFTYsKmU/LtcRiuXcV84hjo9RfXoSbxTp7DlUpSsbmxjw5jddYze/EkcszG8+0co2NzYrt+Jks2iLcW5JtTIo1OD1ApZCNbwOV3EF61EoipBf42tm6GlVcUwFezVNN3GCIkqVAMh9K3r4eHHmcu4uXDVz7Pf9x56anM064skzEZGPd00lODo0Wn+6q+uJ5udAcCi2rit/b/jW24lrD3PWOpqrLYQLpeK16uQTAmomZ8XwJFOC8Dx+2VZN20SI+ByWW43Oyv479lTAUYiV/M7v15gS7OTB76uMTMjt2tuFon6+LgAHotFTkLz81CuqDjsOju3l4hEQFWV10Ww9ftfrLT68c8WiiINkxcHZ75hqnJFgRtuEOuAfF5aXa8ZjX6l3vBKg/lFQAVzWrgp5jrInZeAyIoL9oXB44J0BpIN4FzpIOitUDXAFYNqGLxzULOC2QCL66E0BNmCjLeCs4AFBoagdxjODMBcIwz3SQdDM2SzeuoGGDwBbQsSIGmviOrJPwSxIEyFZdRibZSOiDUJ/ghUV4FtAWpVsFbhyHroe07SyYc6Yc0xCCzADPDNO+HgJth2EMIpOL0KbhiSLs7wI19g91c+8cLyRNu24/vbR5hucaGXYN92uH4/+BSRgFOEzBL4l2F+QDo4ZCFoh/lRcK0G6wVomofhOOwLQGAKqi1w1Vb4dA3cDvh4GoKToDkhEoKTWVhbXPGpAeIBiI1KSnepKEnv1MC3Dmz1r/4WKwqsssGq/8Bh0loP56YhsZKv190AgdeRZ/fTKEsAIr8MhWFQbeBYJWTjt0NdPgDHNIU4snWr6I6//W3Zqd/3PhadbRxlI1FrgmJ9EzPZCCedTq7q0S8RMkZGMFtaMXU7yvAQ1GoofX2SZXUxTrpSAaeTsi+CRYHAwhmUZJxiYyeZunbUxXlqFheqXSdqTHN6sZ7ywHrapwu0uqfApnHnnSqLT+TJTSSxB4t09Nno2FJPatmgqTBC0B7EzISx2i1ohw9g2ByoWJhMulm0b2TuthuZm1fwBG1UDBtTWjsJazuPPqkwv6BSrc5y9uwNZLNjAKiqjavb/ppyZRuqf5HschF3JYmuh7DZFHI5AR+FgnRZslnBe/398rKPHZOrn/Z2WaZcTm4TicjSZPIWZlIebEF49FExE15YgKEhGVF5vbJ/u1yXsqo0DaqajrfBiupcYfv+jOZEmnbpoRTlDW4AadpKcNWVestUXhLCXS7IFKB4Eopzkthta4K5gqRzV1ziTmwq4qGizUNKhboc2J2SPZUvglqFVDcUNkJtUlRL9rxc7Zf0FYpZVkAIJiwFYLJV0r4X6mG+GebboV6FxjRkizAfgowTfEvQuCCSdM0PU/fCms3wdBn29EP0QehdBrcV0kUJqdSr4jlzdhV4MnDkKhl/lZww2Q7LKdi6FwYOwe69X2b37o+9sDTBrs0M/NkusnUerBVYCsJ8BOaCK8GfTjEi9KTALEIgCfX94HBBZQLGdsGeOklKr1+C8x5AATvgmoQzzeK6PBoDfRiSGjhqUEzA5oMwvgRxHVr6wewR9Zc2CS33QXGzeA/ZG342n3ndCrdsgkQaVE1GU2/kucYSAM/rT6t5y9TlBXAqFekEXAzaLBTgW9/CuPOXoVxCqfNi2u04arO4x0/D4rRIhrq6MBQVYzGBUpHkcNPuQD15EsVul93dapWd2jAouELUTIUpfw/22ijOWglHtUK+bCXevJpk1cvcYiN9Xg8T7jVEDn2RUruCPTZJcHiE//T+j3H+60fQ68IMNOuonh52DYc5WmnHUbPQlkhzdn8arVbHtsE8J04LSc7lUPjSE2Fuud3GqfMGq9YYmFjYs89kZhbq6hZ4+ukbyeVGAFAUK92dX6fLEWF6tsShZACPs4a/J0xHVbDd/LyMjoJB6bS43Zcypk6flknKvn2ynOGw7MlWqyx1uSzTPa9Xmmc2G1x1lfzc1AT33SdvzZkzl96Sq66Sx1AUhdfUa/4U6g0HNVfqrV1WUSnhAS0upnZFC9QWIHEQzF5RQWlOUVJlrDBVB7obVoUhWAFzUuIOlvzCv0lqUDgvV9ZmXIiggVMSr2Apyxgr5xSfnOg0TKwoqyY6IbIgXaTiKogD06Mrn9GseOeUHEJSPtQPhVZYrIfY47D+NIx54GALtE1CRYWiF6aawVqAqRY4vBHe8YyEdm7dD9ONsGM3tMzA9wpf43NHP8LFVNm61g1c/zuPMR/ykfaJwWD/CFx1Ql7DglOey7QTmorgjcFSs0i5rSchX4CAFXwHxKm4bBEPoLxNKCNpJ9Qr8vOpeVivw2kbLBmw8VvCYXI5YMoGw6fhmuug+RZAXQncfCMOFQtEXykw+Er9ROryATh2Ozz0EMbYGDVTJWsJY9VVnOl56h/7Er1bNzLS+l50o8ANjn+hOXEcUiXZ1fN5jIFVKCdOoCxX4KqrUAbXYh7YjxKPi8/Kvn2yM9fXo1ttDOdbGN50L3XmEk2P/iOVsSVS9V3MhQbh8EEWswECvl4c509QK1apBaJU82n2HPMyMztCIlvPYnYVraaDGzwV6ru8BCwOimOzfOuLNRaNEF4ly9Jcib4eE81r8NjJRuIZO7FFk+HzKuGIQjQi2UzBoMKpU79LLncOAEXRaGn5GrrjDuYL53iP8a+M1lpYCG1lwerCbjFxOsFqVTh6VCZx4bCEYEYiAlJcLvnSNCH4vvvdMkWpVuGZZ0Tueued0plJJOS2ra0SvRAMCuDRdcmrKpfl9hdN/jo7fzRw881WxeIljvmb9TleqTegfBIjYO4WAurigCQ42xUojELHNBS3Q8fTUF+FvVdBygn2JiisglE/NB0U076CTQz4Ug7QLZDdBt4RkYeXHbC6ANUEjDSArQjBhIRntk5DMgg7n4e6BMy3wrYTMvpRHWD3Q+Q82FJCRN59LSR1iFhh8Wug1mDJLSOonB1SCjjyMN0NrrSAk6UgxMJgrYhce+Ne+MgXBLxNe+L8fyMfw0AY+5H6QX7h3scpFAMM+aXL5EvC6tPyWCkvuIvC89FyMBWE/FaYHID5BKw2oNEj2VGR07DUBfMNELwgbsQLIXHp+GgRTl+A3BSYdrgmJHEJ2qIosZwahMqwtCjS9ef/GSw69F4HgZc61r9JyjQhXxF1lf3y2a1/YnX5LFkuBxs3kk6ZOOcPYZhpsjYfmrOMY/t21m1zYgQVIvFxosEysb7bcXUqKLMzsGcPdPZSvf1OLE88hpJaBkzSvVeRGD+C6wfHca9exez9f4CnI4xDKfK9v7Gyxpvk/LKfXav/J2qlxOySg1vXqFjGRyifyfNo6Xq6yqeoL/uIzqf49sR2ni+vYWammRka6fXkOXfWw6xV4ZbrCiznXRhnJ3lifz8mFZocOUpqiq8/00NoMIpN17DbapRKKskkaGaVc/uzeFw+Loyq9Pb8JfH4ENnsfvr7vkxT8/uYmYELln7+Mfwpyst5dMVHV1ChoUE+XMWiycSEQqUiXZvublFN+Xzwve/JBh+PmzRHqmzfZLCUtrJvv8rOnZf42OfOCZhZvVpoT8mk/HyROK2qApIOHbrU8RkZke9dXS//dlYql1T6P+uOy/Hj8Hd/J6CssxN+8zdX8q+u1JXKAy4w7oDY81BblnEUGmgN0GxCwzkoumG0A1pNcNWD0gPTS+D0gH0TTOXEVVgxpXtSyIPvaUgGoPW9YN0pwGnhAIx+HeqmJTgznJBuRasDlC2wPAmBg+BahLRNblN3DBwpkZajiOR7uAKZtLgk5wMw44U7nlgZfVkg64WhHji5CYKLAsACKTi2TtROo53QMA09oxAwQ/z+hu/wJ0dvJ+Bt56P3PoHDFUKrQPsyhJZFHm8rCYhTDJGI51wyAquqUA5A0yohXBtpWD8v3RlfEj41D9omGCvAxIiYRDsn4HRVIhQcBizOgaGA1QGDYRgpyfkoXwEfMHca3HVQK8PZJ2HzPXLbl5Zpivu0av3Z81JqJjw5DkNLwijc2QQb3gbS7Z9lXT4AxzTB42GmcSsd4yM4i0tUjSIjA7ex1ponu1CgPn0QXy2Bno6TdoUw4lm00VEIh9GKJUyvB1JpUFQyJZ2DJwxaUjlmMj7sU2dYOP9Z9u/8z7R3wPiUHRtO5uMWrBawW0oo1TIj//Q871z6Ko3lGhXVxsgtv8FYrZWJpQS7Kk2sdZzkQqWflnYbhq7j88DwlM61Njsut84Dp1qp1cBrKzKb8VB1t3DdQIwzJ+LknT52hKY48p12aoEO2joUHIqVk6Pg85qUyl6uv24XIyO7aW56NxaLjJg8HlhctDOdszNgqdLUCOmMgBqfz8TthkRCYWJCwIRhCAfnxAnh1Fy7Ls0970phicPipIfHvu9jYlLaGpEIfPjD8jhr1wogGByU36fTl0z1hoYE1DQ3y9WYzSb//3J16pSotqpVAUq33liSxHCH46eOdsplATcej7ym8+eFW3TPPT/Vh71Sb5UqAR4JtrSGxG9Fz0PeA00NoBwCdVI2Yi+w0ATeJWa+Th8AACAASURBVHDshZ4pKEZkZOWICf8m4xUQ0HdeDu2SDRbPwvdSkG+BvjJEfGDJythGMSCchfklWDgqEQrzfji6TtK9yyUxdnNmBGSVbZJM3jguTraxdqETRmbFuyYWES+cunnYdAFO7oRD7eBJw8bD8n3DERjvFA+eZTcMnIW1p276/9l773A577PM//N9y/Q+c3ov0pF0JMtq7pbl3uIkdnohBMMPyEKAhR/wC5trl8Cy7LILS4CFX4CQkJAAMSFOHMeJZTuxLVnNVu+n9zblTO/vu388R7bjOMV2JEF87uuaSzpT3nnnfWe+c8/z3M998/M9u/E39hLTG6mUIVCGhikIO2XMPRYXd2StJkRuqFeOk2GDOwZdQajq0HUD8FkZSZ/1gjUM9jCccMMTN8nrrpTh6ufh5pXgUmVDXwus6QNnL7j+CibTEA7CzK0wlIKtdQjpUC1CufC9BMeqQOIhKJ4F5YToO8DdCrjk74uN0WU4nYBGj3j/7JmRYxL5/m4Zq3gF3jwER9NgYQGP4WRu3S6WBm9iJuXFm1/kit1/SON1Tcx2vZWyclPruIm1E0+gppawW5pRwSDqhRcwnnoS27bB5WZ+87vwJ8+Az4dVMZn1DNI9uY9Da+eZLPnxaCbnp9zUKjYDAzYBn5+AN82mh75KtVKFtnaCy5P0LT1H/Lq3Yk/pFCeaiReWCAR0CpaJo1qiXHHibzDwN+iU41nS8To7XCc4VenHshVuo8bHm/8WFa1zetggm7DY1dzNF7s+xu4n4MMfcDA+XaVtECrFOtt3+jh69G5On1bMz9lUq4psVgbBdB0KeZuODpidtQDF+MRLhncA//IvQlS6u+HjH4dSroYzmUZzSAzCxHids2ds2jvlccPD0t7auFGqLrGYCIlBqj+WBc89B08+KRNYw8MyxR+Nvrp9TSYDjz4qFSTThNTeU6SPfRuvyybX0o996+3Emo2LxnNKJRFVNzXJ6/N6pbK1ilUAYgaTFV1HJAPlFtGrpKswW4MTbXDPUWnt9Oiw4AAzC8FlaOqC2llIDYM7ueKPE4P926XakQtKy8hdgsFD8O0GOF+E0kZIu6DnDPSPgKcIrjjkB6G4EUpeOL8smUtVL1QyMn5NZWVcWYlIWHdDa1VaUq1zImJ2laDkhooJRzaJbmjLmOh2cj6p3mw4A9GFOntu0Yll4NhVcHY99J+/HkdKKjCaKT9kwkkoBIVULTZKLpayoeSEpWZojEu+1UwjFLJwewh29YDxn2H6EFhHwdsg013P+iXNvMGCpAf2rYedSy85kDcEwe0AmmDTf4H+Ivy+G0bykJ6BgzZ8+DBEXeB6lYi63EEonBZxuJ2F4m+A1gDZKiTfBk13/vB8vDeCYlXOj7ZyUUDpJ8Sf5lLhzUNwmpuhv5+WSIG9136AycYdBA/t5rpH/it4PHROPkO27mK2dQdxRxs+mhkqtlIvd7GjSeHKfJt6YwulqoZrfpzQmT2Mt++kcWoeLdpEMJWi5g/TUR0lU2ljfZviqZPNdHaCadZYWNQIebyYd91G/tEnaHTW8DX7yVhVSt4Y9bUNrEunmDjShXI7MD0mltNBsBEG1lpkEzViX/0c6zNehkvNXKmOEvd38Z6NZzFVHWN2hJaaj0ZHnexSkucXsoxN3084+B76ej5IS7cTh6nT1Apul01Tk2LPXuncDQ+LUZ6mwdiozplTde66o45hKiYmDLJZKY40NYnu5II1kFKyrQsT2bYNXrOG07QolXSUsokFq6iaTTZr4nJpDAx892nRNDhwQE5PU5P42ExOSoJ4W9v3nsZCQZ7H6QRHJcvG1FMknSGKLgPX2bMsujopXT1IR8fFeRv5/VI1OnFCKjj5PFxzzcV5rlX8O4QP1AfBsQ98O2GkVczyhtIQOglOC06tgfY5cMRh3TnRi9RXSH80AA3zcL4fqkloWICOKbnNkxVnYkuHvAltQ1B3yvbtENw5stJWdkLHpDgbjznBr0ueVRKR/C7eKI693SMSQrkUg0oQghqkr4ATDXDziMRDOEoiYj5+Bcz5JeMpkgRjperiLMOZpaf5ypc+ypamR6hd00V4Gsy8PN4sQ+eEhFkeuUpaUevnIV+FvA7ZkBCs5YDkZrlqUHdDLAM3nYP39IMZBXSpYlxwCtYSItLVVibD3G5QfZA+C7oDurqh6eXtHAWjHpgD1nkh3wDncqLnuWkAjFdEOgDUUqCttMDNaZl0mwrJDzXH38MeHW68A4IXyZyvzS8EJ1mS1+5zQHS1evOa8OYhOA4H/MZv4AJutlYmfP7st9DcdbAMVDbLYG4/68pLJEthEm3NRBdmGUrWmT84Q3cmg93WRb6xB0plIlGNctdGxtNLNGZGoL+Dc9vfR8XbSkNiAs2bIBZrpLe1jFavUHe7MfU6ucYeYuVFvDkXzqDJwqY7yJVMiTloamDbexsoFGw0u0rAU8fjU0RCsDiex/S3cv8DWfYeSDA/XuIO10OsSywxOrJMpFJHuW3KJcVs3c3M0n0Ui3v5408+zYMPWqznF9l5I8zPifGyw2HT36/I5aQqce4crF0LrW0a2ZxNW1OZqVkTpSncboXPJx/shgZpTdXr4maMYQjjKRaxLMWaPo2GJo14oo67lKa7Ic+tjQucmukkF4gxNSUk5+UVFrdbqiI+n1R4YjFpZb0awmH51bS4CFGrCDboLhPDBM1p4rVyLC5y0QiOUvBLvyS2SEtLsHWrXFaxigvQbwNugxiwqwbPz8M1vwy9R4Vg2EA8KuQ+5wQ7KILjpRkoLEPIIbEMVisY+6BlCYb6hbTYGhzfBEe2CclYMwXdXkkmL7sASyavbFNyobzL8n9HGGpliVFwLcr2FtdAMAF2ARwFKPXAH94JjiT0tkNkQSpLelWqOOtOSctqrlkCMt0FKB/ey2cev5dKNc++j9/E9n94irVTvTLivQgbT4mQWbPhqoPwwmYgB+0JqUhdYcKZFomkyMZgogMCKXFprg3DoTNwzdvFvC+2BuZPQX4J7CG4ehn+8R4hfaoI9+yFwLi8juKKXcXLo9sccnhkND8C4Qis6wTP9zmPrgHIHVghOrNgeaUD6QoI8aMIC4sXj+BE3fCOATgVl2TyKxtFbL6KHx1vysOllYu4nntOvqFkVAhVKKI0RbxlA3vTGwmGNDaoNJvP7sVnaLBjB/r5ISLxONVCBev6+9jU4WVhzQMsusIY1QLF0TKGnaLFXKJzIIJv+UlOJgbx9kZwVG0izgq1aRjt3EWkP4nvhnWs6/EzVyxS10zyeZ3Olgo+R4WmaAXTAL+jzIGhKCws8PThIJhRHhh4jnDnPLPDBap1kyZPlbLyMa6vIRcy+djZfyVdGH/x9T7/fJlsRuO66ywKeYtqVRGLWBi+BOl8CbwWi542kkknPh9s2abjCPq4sh0ee1LIQmurtGP6+2V0PBRaIRFKCSMpFKBqkS+6+fCDOlPHUwQy06xbrzgw20mtXMdpVjl40InbLdP3F3DPPfDQQ1INcTrh9tu//7lzOuF975OhtVI2TJcvBMtLVLImCot8rOtF8fLFgtsNb3vbxX2OVfxkIJeDwvPgWoJcSNpORgUSEciugfkguDRwnoPqEmSDUI5C6Iy0YOtuMaEbPCWi5H1Xgy8PbdPSVrq5Bi0T8O2q6HWa5sCdA9MC5QB/CTxl8YeZ8IMrDQ5LNEJkpeUx3gd+Ex6/F+YC8LE/htiSuCS3TYiBoKpBNA7tM2L6Zytw7DnAnzx+N5VqHgC7VuGBv69DI0y1gqcANV3acS1pqfZUgMU2yPugZxyuH4WB/wOnLZibgLYR2f8AIkSOV2B5QQiONwabHoDlKdAs+aH2/v0Qz4M/AV1umNHBNQnKC/uehVvukOMI0AfcBDyzcm62AFf8gHPnWQuxD0DhqPjEOJ4FR1amz0ot0vpzXuS1pskrl1W8Prz5CE6tBv/7f8OZM1LPTSRE8OF0UjZ9zAXWMnjoYZrzI1R711FaXMJs7YQ7bkVt2ICanEYPx6BeY95q4oW4D19zgNzsMpVyid76BP41IdrPPkWDXmFj5RBzwbcxQxuLc4qC3cy6jVH6+kvMGiHcs6M0928klawy2AUD7TmccxO482C3tbOcgnSixhOPh3BlKpRtB7Pm+9m5YYm4X0dNTXJb+RuEegyieYuP7/8yxwoTL77c7s4/oFD4dY4es3lit1QbVFwxP1Wme+4UhuVns+Mwd273sbfzfbi9Oj6fLB5veYu0iUIh0b5ks3J9NPoKLa+mgc+HDhjLUom5bnuFaDJD0g5RqmgEHSVm44rlvIiEX05wurvhIx+R5wiFhHP+IASDcNddACbk7qd84AiZ8QILbRuphppZ2/ODH7+KVVwKLKfg2aehvgSFfok6WDMKhgXL7VCIQd8x0bqc6YUc4AmC1weus9B8EmoO8axxFiCQBkcNUKKBKRtgngV7FLZZkPVBMCvC3UQYwnmIXCsi2vg58LgkbVu3YcMUpH0w1Sb7U9MkHHTnE5LuXXHKBFUqCp4SdEzDfLN48Gw9AmcLh/mj3XdSqooVr9vfyK+/8ym6M2sYNWSqqqJLiGbzHMTmRcezbQ6cz0GuVcheqQPazkDwZnjODx0nwTkDNSdUvFCpgvkyQa8nIherG/hL6BiDnhmoRiXaQlcyel5PQrYMmThEV9p/GvAzwB1IJaeNH+605VkvFwDrBvA9AhMZWLxSfvS9Wht9Ff928OYjOAsLMq7T2ys/r/btA9NEa2jAvP0Wrnjsk6j0MnVbI7v3O7jbOvHMDEFqK8rrRb9qO9r8AhnbRer4NE893Y+33Wbt2iBuv4MFvY8dE1/h+HKEiVyU7lieUNigcWYfukpRag8RCWc4NNHJUtqPW5UwgxadzjkcETD/6SGcU6MUbQfF7vVw39uYnbaJF1x0O3WCYQ1nU4h0No4rvUCxtQO2PUC9zc1//MRv80ziJXLT6v9N/M5fI5EXL5wv/iOcPmnj8dTpd81T8HvosKbodM+znHcSqCXJVxpIJERrsm+fHKZPf1q8aRwOOXTNzZIiMDcnZCTwMhfO1lapxJSMCLWsi6idxrQjHJ+OkCybaJqEZK9d+90mvT7f6xy19vlw3nojbXVorL4U+r6KVVxuXMjgDXWC2wdpIGRCIAw9LWA8A1kdghlotOD4RqiUZFEOzUIdCch05ER307Ak+pdERCog7iKYQ5LivRSAllkY65TQSoct1ZxRG45qYPeKF0/vOASWIR6Dv/+QkA6tDtcelGTyoluEw0ZV4hLqhkxx2QraZuS288Vj/MkLt1OspgFweWO8/8NPErPXkSvDk7vAm4W8X3Ky1o6I23G+UUhUaAyKKbm9noORUWjuEGLnSINeA70ARga0HfDHneAE3g+sWzm2WhA2vhOOnQAjCe6TEK3DVFXGw4tzoluZehxC7xNdDohc8PVa3miboHUThEvSovd4Ll9+1Cp+NLz5CE4uJwFIyaTQ782bYcMGuP9+jOefh6kJcLvRFheJpFJQT0jY0sICltsDi0vY2SxTvi5ikToDiX08U7iDuVmd7kiZclHRHvby7EwfyxUPytAJpsNcGwtyQ+0wLreT5HyRhdBmAvExco3dLBd8LKdb8NsZOqwAJ7Q7eK68GfeSm8DfpcnUDRayLczX1xAsVriySXFwuZdW5SbmNciHdX7hD36bp4/se/Fl9kc+wtbo+zhSMymXV4yWSxonT9S5fl0cf/Ict8R2U3KE0QyL1DKMzThkMXbLqHYuJ8kWn//7Os2tVXRDo4qObeuYMjRFNisFHL9fCmIrmaMsLZmUw5vZ3LXM1W0mz3/eg9er8HplcTh27MebQnAhj/K1wLLgW9+CQ4dksuvd75bq0CpW8UZh26Cfg9pJ0W7ou8AchcBW8O+CNb8DWaTa4sqDOQ6xECy5QOUh7oOsAf6CCHOLHtGx7HxGcqeWmqB3TMaoz/ZI8vhMC1gaDJ6Dgi6aucPLEoHgqENJh/EIuNww2QYlBzQtikGgpaRiE12AE4OyvQ2nRPeTjK0EfmbhiHGK/3zkNrLVJABuV5gP/tQTdPg3UqzAVKPsU9EN2KIV2nYYuhfA9oGZgXinuDurAMxuAmcXzJ2FB7rhBUuExE4PuIPw7V3g04Qc/gnwh0AU+ex2+CQhvAg03QfBZnCdlKEJtxu6I5LqXoyDr/XHd27drtf+mEIBTp+EQh46OqG7d9Ux/VLgzUVwikX5Ruvrkz7J9DTcfDN84hNCeD77WbnfhTiHC8zA7caq1rCWF9CWE6jJKdrNSU7e8Au4Y158wPxMBX86C4U8v1e+nZCrxFgmimUrtlYT3BZ6lnSfiVmqY8cTaIEKJV+Eoq8Zs5Kno7WChZ+Fjbfx/GiFhlYH7a45TIfG3JITj7NOJm8Qz7s5O1yjb8BFOOZjR8cEv/cX/4WnDz314su8bdvPEav+IrG1DdwSNThzRnQztq1w+EyGklE6u3souUI48ymWykH2u2+GQJBwWIz4SiU5DJGQxUB3maC/jqErJmcVsaADc6WxrWlCaGo1mJmRSyolC9DQmEnVbmDbNvAHZMFNp+X+3n8DfeUnn4QvflGE0xMTUtz7T/9pdeFZxRuHdQDavwmzDZAugMrCpg+ArwOye0DlpKLSokG8AHUdqhZ0LsnodMItY9jlrLRT3HkhOb4ctMyLxiYegeeuFW+cdEjEuR0zcr2zDHNrRAczHxHdTqkE0VlpG/mSkPJDzZA077wHFmOQ9cs0k7sI+6+Vik3rrFz/XOQsn3j2VrLlOAAeM8gHPrAbfdNmntwgI+WDJyXa4dgWWQNcFpzYAo27wRuXKfrZTZDohbwCt1MCQA0TwovQsgCWC4plKNakRXehsJsDFoB0HJ46D6kz0FmCrTUo7wfnT8GGLZJblanB3AKEFOiXwLPmB8GyYP9eITcOBxw7Iq+3o/Py7tebAW8ugpNMyqf8hhvEzGVuToQm58/Lz3jDkEs6LWUGv196NLoOw8NouRw0xFDBAP7FOQpHzrLY9gGabI37NgzR9q3PMppr4NOej+J0OqnobgynQYt/AtuymMg1EPWUMENNWKaLrLcRr1HkxsIerLM2FcNNbuPVXDU0QvOgCysB03EH6YxOzFfG57KoYJLImHSls6zvn+djf/s/eebUS+Tm3p0P4k/+B1jTTy3qolxWXHUVLC8LGVleVjgcTvR1a/ly/ddwlLJs2+XDfTJEQxoee6SKJz3PyKM53nLjMsuxQd7/9jJ//QUftRp0tlbZvrlMqWTiXMkiNU2ZaiqXpT11wV3YVDWWzyVwrNHp6Ihy+LBCKfmQXzbn30JB5tAti8mT7YTDAQIBOdXDw/L2cK+OYq7iDcI6Aw4vXOeFPKDPCMmf/AeozkK0JAJfrQANSVBdkKlCUkl0Q3XF4VezJBIhoolpX7wBRrplAmkpIgSkvDIelIxB2xzMtK6kkGvgLULGK22pphlAwUybtLqu2ysxDTVtxTHZhKJXJq0qTiFHSzEIpWDCnuQTe28hU1oAwGX6ed8Hv0VTxza+cAekg1JpOt8HOw5D5yT4l2GwDi1NcOwu2NwGvmYIvQCUoJCAig31cRjcAoaCukMmwlDSojtXhbAtrssK8Fbg8WFxPA5UYNIPzXVoSULxEBg7IKFBPSvbSEVF6HypYdswugATcYlYSGcgEpbbajVYWlwlOJcCby6C4/fLN2+p9FKQkssF+/fL9UtL8u7TNBGauFwiQr7Qg/H5IJ3FnpkF3eC6Dcu0bZ3FvzSG2RBifF+OLeoo1+mn+efy+5niNvr6wPC4USWNcMBCt20MQ1G3NdaNPkqjmYSBTgr+NhylZXzxMbZc56NcKUK3j6NLQUbmPSynFYZTp46OrsP8nM0X9nZRVm9FqUex7To7Nvw0lutTHC5a3BQzWVhUGIYQkGhUyIhhrBjsKZ1ENUikIcjVd8D2W+GTn4QOY5aOxjkOTbfy8c83sfbJZbbsCvL//kIWdI3WSJm5coRKRbbl88mhSSblb7dbil8eo0zbwa8SrcxhLUM9925uvKGZWl3KI/H4ZTj/lYqEZtXroBQ3h5c4enI7VshLKvWi1nwVq3jDUO3AHtBi4vZrO6EwDOVZqcQc2gntx8BhQrMOsRr0n4Vn14ruBSCaArMieptDV4nBX8Yn4ZmtszLpZFbg2Ga5T12XAM5ABrIuCBZEeGy7JHTTUQZVf4k0ldxCSixDSNLxKwBNxLq9I0J4zCrsuw7S7iYaR3aQOfM1HIaXt/4/j+FbdzWjzTK9FV6GTADijVIJ6pmBpmVoNkBp8vrD10D7FijvhMN/A6GykBZ9CIqHoSULjd0wugu8NREFO7OQbYCgDr8KeKsyZu9yQwnRD9XmwPM0qHFIPgfeAfCtkSU9n4d8BvwX0ZDv1TC8AM+cEaPBYhlyVRmrd7mkkv3y8fVVXDxcsphApVREKfUVpVReKTWhlHr/97nfbyqlTiqlskqpMaXUb77i9nGlVFEplVu5PP4j70QgIPO95bIQl1AInnpKBCEPPyxljp4eMVsZHFyxyk3B8DBqbAx7bh7GRqFUQhk6RjhAY32BRm+BoKPEJnOImCtLm7HIW+xHuKX1NP0McUV2D74mL81mHK9eZnrgdq6oHWbr0uNEkiM4zx5DSy1RrJp43ApPZo5ipsq5cxYnRjxsjUwQCdSoWRq6DoGAxkLej8dR44ruu7l2499yy+Z3EY79JXOLBvNLDgoF9aL41+MRTufxiNxIKSlkmCa8851yaC7oVwJ2llTNz+lpP3YdfMU4D+/2cfqsRntDhaztJ1Nx4XaLoDgUku35fMIfYjF5HmNsiGhxhti6BrSGGA25cfKpMk6nLDpNTa/zjfRGkMsJgfV6xdyx3eLmrRmmpuSqX/3V1eDMnwT8W1hr9F2g3QjMSERC0YTSP4D+DMwPw1AnPL8TFjuhaIDjPMRGYM0StJYhlhRhb9ELkWVx+E22QNUlLaRATp5Hs+DKYyLMvWEPbDwh1ZlAFqo+mdZ699dlrDyUhuZFaXlVTVgOSf7TUgwOXi1trkQIZttgrE8M+vI+qQSFik7u+JmH2HTFT/HBd32d4MbraZmEeEjaXFVTqkCWDs156I/B+h4ol+Tzvm4tdK3MZCunkDRNB30WKEHWDUse6BiRSpNlwuld4g/0P5DLJiDgAq8D0hbQD3ULOvaCqwuc68FtgDUux85aOReey1AtHl8ScuNzQSwArojsUzYDnV3Q830y9lbx48WlrOD8H8QGoQm4EnhUKXXMtu1Tr7ifAj4EHEesCx5XSk3Ztv1PL7vPfbZtP/G69mLtWik5fPKTUrnp7JSZ5fPnX9ZbMYUA6brEXqdSqLk59N5e7L5eyOexIzGMyXHq0T7m26+k8ZufxZubx7YhpCu6GvJ8uOlJNsQWMewqdWWQN1p5tvP9pLImHQtfpRJqoN7Sg60UgWqC/Jo+zsfDDISKRFIZdi+spWYp9k+20BbKUsGJw2dgWYq6bXBkKkZHKIfXez+zi+9icdZDtSq/EF54AbZts/H5bEZHIBSQ1LxyWcPhkMDMUAg+9zkhPzt2CPk5+miIhdEClbpOr3+JkiPA8rLOM6eidG6R0+P3iwi5XJbDtrAg1ZumJiEKg4MQ8VXRiwqcCmy4peE4z4Q3Es+56OuD7dt/9FNm29I1LBTklITDvD6vG4djJT3PAqUwNJsH3uvg7R9ZJTY/Ybjsa40ywfwwTF4Hi/8/uMYhvB7UEsTOQX0jtKZgw0HxfdErUuVoGYZpn+hkliMQKUE4Lu2iqQ1g1aBxXoS8VYeQmWAaPvwZIUE1XdpL3+6Ar7wV1o5C3iFhm+G8mABe9Twc3AHD/dIGy3lXjAfrQjxyBvizsOU4PL1TprwsHeqmg7vf+zksA+b9MN0OnSNwav2KmzLQPCNBnsc6YHYNrNsKN4bgGyH4iwVoH4F3zIO3GbJjYJfAocBXlLYaOoxth6PbpfLzvqhUb84l4LFjkE5Al4KmbjDa4fat0DAEaiWGzu+EdTZM1gEbNl4DgciPft6qcVj6KpQXwLseYveA9jqqugE3TCfA64RSFfxeuOOalciF1bXmkuGSEByllBd4B7DRtu0csEcp9TXgp4D/7+X3tW37j1725zml1FeB64GXLzqvH5YlIUpnzgihuZA9EI0KM7As+cmRy8m3Xq1G1ellpncXYVcJb1sYfWEOLeDDxiL0+ENMRzdRf+Eg2IqyZWBbFoHEGEXlxkOGYvcGbKXhmRnCnj6EXXYzXgqirdlGtNlJbXaBbNnLUngjqclJVFeEztYaV+VSHD7tYkt7mvmsl0RK0VT5BAPr3sfB5TXYuoPhRIREQnbZ55Oqyr33gsdjMzNZ4/HHNSwUHU117FKFdVt9uN3ixGsYQkhKJXjiCTHce88vN7D7z89QLM1TUB5O5ZvRdbj+ekV3txyW7m7hgKdPi3j5gtB4YUFCOBsaALMHXjgoV9o2/o427n3A/brecRdOh2nK6UkkhEy9ZlLi84lT4ciKp31HB0Qiq6OeP0H4t7TWxCfgiW9BNCNfvPkZaOsHbw5iLgguwXeuhukOaFyAex4GswjnumFrGtonpJJR1WAxCs1DEFuAgk+IiTcLroIkjG8/BJmgaE7cBbhxL/zZr4gvzNlmuGocCi4R7RZcgIKsR5LHnVX5e75FSvot8+AbmefTtS+zxfolMlEImpCrQ8sYnFsPnjyMd0EmJPd3FCVSwlUGdw0WopB1QtSC/54DVYXQYRgPwW4L7k1Ay04Y+7JERhg1qXAkm+Hn74UTCiIu2BqARAG+fgryi/IbZdiGLUNw+30yfl+5DcpfRtaWOnR8EPque+3ny7Zh4UtQS4MZgtxRMPwQue21b2tzFySysJgGpwm3DK7aV1wOXKoKzlqgbtv2+Zdddwwxlvy+UEop4EbgU6+46QtKKQ04AvymbdvHvs/jfx74eYDOzhVF19NPy+VCKaBYlDTIHTukJDE0fkjgwAAAIABJREFUJOJjv1/KBrbN4ra78A2uQdUKlKbHcTtdaBfaV/Ua3dVhaqpKXTdI924lvmEXY9V2OucPQmof6uQJRmqd1GsejtdDBDw1vum7jw/OP0TQKFC3deID15DPWfSHk3jqcG7Iyxd3x4indWarYZbzDhpS7+G5iYdJTv85f/ALn+YvD76F2UUdXVcUi/Ll/zM/Y1GtWDgN+S5PpGzOnLLpi2aYmPOzyYTlpMXsjI3DqWhr09A0GfceHgaHw0mm+0qKWSgWoNEN118vpOYznxEO6PPBz/6sPAaEKGmaPH+xuHLwQyF473slbtw0ZSbceH1vt2r1pQA9XX+Jh76uqktHh8yE2/ZLFqer+EnCJV9rXm2dscpw6GE44YGeJlh/FJa90KYgcDdca4q531QI2ich64B/fbtUauY6YI8fbnlKxr5n2qSdVFcSx+DLiPbGrIv+5cx62HJEdDmaJQnhszHwroiET26Aq1ccJGq66HIaFmHgPAyvgcETsPUwPHEbvLAVIueW+Pqf3src8mny6Xm2/OrvETyrGCjC/g6ILomPznwrZMJilmeWhRwVQuBaBlcSlvxQmIaaBS0JuU5LQCIH9Yeh2APP3A1DXdA1JVNjR+6ADSlIrfzomCvAOpd0lg0FDh1KNhSVxDG4fWDeCloLWPOgtYO+9rW9YS7ArkFlCZwrxoB6AEozr29bLhPuvhLKVcnM0lerNpcFl4rg+BArg5cjDbxKhut34XeRz81nXnbdB4DDSHn5V4FvKaXW2ba9/MoH27b918BfA2zfvt22baicOIfuD6LXa6hSCapV6jaklypw+ixmfA5vPIHmcYNhYGk6WmOMkubBkZrBbmqhNjaM7nRhFcs4lIVKJ9FzKQqhVuZueA+LRR/zni4WohuY+KZGm75AAQdHaoMMWd0UiyHCUR+/dfyD/K8txxky1pFJhFFLNRb0fszULD/9P9aTyetk8jrLOZOA+TFOFx4G4Gwmyb9+4Xf5nd/dyJPHYszmQ3ztaxD1l2gJ1gmrNNPZAAXdjd9nU60pxnNRSpbi7JkaRw9DvqBQmo1GnXBUxzRt8nmbI0dgcVHhdCoGB4Uk9fXJRH1Li5CLxUXYvVvaTJmMVG8sSwph3zUdFQxKNPgbhMMhVRzLEn2wrr/BltLrJFqr+HeBS77WvHKdAagcgURaNCHpNjhvSQtnag0kLdj5BdicA+caSAUglIHTA9AyB948FNySOVV2S7XErAk5SUShrSjanGUnzLbISPeBHXDNAREa5z1w4GqIxaXN9Z3bof883PQ0HLlOtDLpoBCgwVPSiqqY8MC/QsuJBF//5G0klk8D8MiJP6T14LsprdtEvw2OHtjrhVRQNDt1BzRMgm5JuyycEgJVLcDab4NzHvocsv1cWAwJbz4KcT+MNMOSD+a3weGroB6BgAGHZ2BLpwiwj6ehyyXi/xSSIl63wa+Bd+WMKgXGIDD4mt4n3wNlgLMNKvOg+6WSE9zxBranwHWRoxxW8YNxqVb6HBIv8nIEEK+rV4VS6peR/viNtm2XL1xv2/bel93tD5VSP4388nrkh+1EOg31DVfhadtNVSlccxOoQoHCQg7X/s/jSC9S9/qp57JkUnWGGq+n0V/AGYlQMPzo7QN420MUTTfepTFwuLE1G7UwR92CfMcAHrdFzKwyWnQTCMA/un6as6NuvI4Kuttku+skmwpHsBfC7FuOMPK33ya7M0BD/QWM3DLJ3u3syUdYzhk0B0sUSy4qtT9iqfo/X3wd28wOHvRv4XMPubn55ixHng0Siyne2neeFiOAt8FDCkXMVeK5vS6UbZNIady402b4rI3TqRhYY1Gr2YyOatzYYbOm32Z01EbHJp/T8Xike+fzCYlxuWRCqlqV/+fzLwViLixIMaSrS0TGP254PEJuCgVZ6ILBVc3MKr4vLv9acx7MP4OOGoxuB2cRFnyQbIR7HoN79kHBKURk4CScXA+nBqVCo1egZ1iqGVUHNM8KSdFrYp7nzcv1NVMeXzXErK/sgn9+F0x3SzUl74N3fwliKUgNSBXl6FZpX/lzMtk12gdX75eqj6XDqZYUj33ydhKzx1eOi8bP3fgFet2bOBWEiVPQb8LhPhgPQ80lr63iFNfjaEKYoKMKzQlonoeKH6I1yC9DMgobj8M9X4Ov3wN2RQicVhRzv7wLYgbU8kJiNCUXlwkPbITdClKLcKUDbrxKzAB/nFAKmt4NiW9CZRHCN0HwdbS6VvFvB5eK4JwHDKXUGtu2h1au2wy8UvQHgFLqQaRfvtO27ekfsm0b+Vz94DvZUKvaGANrqO26A8cXPo09NoRSCvfsHBo2WDYqn+Wc+wrc5TSW10taOek5/Cxho0bVF6UauRXL66dk9KAiYRyZOPWxSRIDN8LWHdTae3A5TK5x1ijYbm69E45/2ktBBbmyfJw7jUeJRaDBfY4rOhXm7BgnlnZg1xPgd0Emg29DF5ZmkCubFCt/jm3/zouvo1Ft4fc9nYStHLP5IMeGq8zOCumYK4bJnB7F7mkkk3EwOp6jVGnD6VW0t8O6dTa1QpVqVWHZisNHNbJ5xciwTaEAZ88oikVFvW5hoxEIKNxu2XZLCxw4IF28Wg3uu09IzcCAXH4U2LZcXis5UUo6hv4f9hv8dcCyVlxnV/vjPym4/GvNI6CFYEsWzszDuVbonoK+sxCcFp2NvyI6GmyJYOgdhWv2SbvHRlpARResOw/nB2C2WYiIVpecp1RYhMAZPzQtyQi5uyqkx/bCW78G0WXw1CFwHEbapboz2gP1khAkZcFCE/SPQLGS4ct/dxeLs0cuHBhu+tBn2eR+D2d6pAKzbj8EvwOtzfDQ2+GpW6ChJlqi5nlpw1gWhCrQd1qck7MecCyCPw2dc9IGOrMRlsOABUYZjJUoCJcBIQ3yJizXIVOSZPU2N3h0+NnXQDbqtpTjXqtppxEQknMxUEPO76rk79LhkhAc27bzSql/BX5PKfVzyGTD24DvecsqpT4A/DfgZtu2R19xWyfQARxC3r8fBWLA3ldu53swMwMH9mP3daOUjYpEsCvt1Jcz2Lk85NKgQKtUyDm8ZGNtVNr7CKbOk5rO09xo41weRtunUWnvo6br1LbegHZ8HxmzEY9fw1meozp/nsyGa6ACufk8IZ/O9s1lXjjrYFAb4orwNJFAHaUpWtot6u1BilPPMdJ5C3pTA63LZ2jddCX3vcXmHz7/NyRzL+kiI/pWbnH8Ov7g15lUraSyBo8fcGNZCpcL4jQyV1imIz/D0oiXvaMtlOuK5ma46SZxMu7oNti/32ZsTFEqK67crMhkbL7zlOK2Wy1GxhTxuHzh1+swOwt33y3i4cZGsQrq7ZW21WtBJiNSp1pNBtO6ui5/FebgQdEVlctw553wrndd/n1axRvD5V5rqouQfEIqJcbVIui96jBUA6KNWWiEtefBlxV34ooTWmeEZDQuSOWm5IJ1CfHDKblhzbCQm1QQPEU4OyDRCsG0TE4N98PGk0IyOoOQaJB20VKDTOx4fdLmaloQE8CFJtH2dI/BMztBZXL8xWN3M5s8+OLruP6n/5btAz/FQhlKHnmsWYChfukBvvcbkOqFqfUw7hDdUOU43LAXmoqQiggZoyZeNpoTXM1QHIdkJ/RUYSgMzXFIbYD6GnncLgM2RGGyJERgMCDk5keFZcO3UnAgK9NZ90dh/WV2Ta8AfwccAILALwP9l3WP3jy4lGKE/4Cc50UgAXzEtu1TSqkbgcds276g3vivSNzIIfUS/f4H27Z/Eemj/xUy0lkCjgJ327ad+GFPrjSFI7VA5VwNM59H1asULSc5rZGAY5GyaeOyimj1Kq6wi0N3/iYRf5VSZh19Zx/B0pZxLC5geXyUr70DI53CPTuMHp+jtnkLqhhHz6Zpqp6kNatTqjs5m9xAPGMSCCgaGiBcrRLUMtQJoJXLKLtO8Zpb2XTgz+jRJrDLDUTWNXHe9BMO/iXJ3G+8uP8txjo+HruFnsB+cnH4hn0LWtBBZl7DMC5MGjnx+dcyPdONr93B3YMm09NSgWlslEEx2zbo7a/zub8Hr08RjWkUijZ1yyYWqhPYCMPjBnffq9i0SaayWldyXK68UkhPOi2WQcHgj/YLqV4XrbGmSZsrkZC202XxwllBPA6f+pS01BwOeOQR0UFv3Xr59mkVPzZctrXGrkP1BnA8DJXDUL1RSIZRFF8WbSVioTcjn4ehtVJVcVSlYuMtCompr7gLRxJSBZltEeM/RxmuloFNJjsk4bvkhmsPSTp3IC2j4KmQiIFrLnEUPjEot93zqDynWYXv3AEzkTy///y9LCafe/E13PDev+L6vgdRVSFZsRRsOwTP3SC5Vhawfh6unYKlbbB9Uqo3UxtAPwBGEAIhEUy71sLIEDhioJkyhq4MCAGDBbDC0LNNXJ8HkCgHgDYvJOswa0GsDtEfkeScLsCeDLQ5xCX5S3H4j07R9lwu7AaeA3qADPCnSK7Wqjzn4uOSnXbbtpPA21/l+md5KW4E27Z7fsA2TgFXvM4dwP/Zv6BWrKIaY9jZLLVUjqCqoJXzVHwhltx9+MImi/d+hKoeI5+ZpWV9Kw03vRNHKYF19hzzUxaev/oLXHNj6A9+CDsQxF9fJmk0EXSVcNULqHSW4XSAg89ZpAw3p0bdmA4IbmjDHqriHD+HZTiodvQxVGwjseWjDGQP477rbqauuYV/fOjz/Lf//msv7rrTuIqG4GeZCpxiw+AU8+ZNLJbuxpHUWNOQoidzlHTVxQulHURbnLj8TpraRC/T2CiExOd7yd5ndk7jio1VTpzQwLaxUfT0wuySCQqiMcV9932vnqZWk0SLTEbaOi0tknjxw0hOrSYk54JLsK6/bNrqMmF5RSZ6IZbBNKU6tYp//7ica43SQRXF+I55CLoh3iLp4AaSCeVYyVg63wsjvaDbQjie3SkEx6xC1wiM9cKO50VYnPPJWLhZEZfhs+ulgjPaCx/5K2lT5T1CfE6thyNb4MHPyPPFI5Jh9fwWuOKkCJifvwkKbUVOffxtpM898+L+b/zZT9J0xy9inJZwz2um4dmN8JX7ZVt9s+BNwXArdGyBjgA09cHyeWk/JSLgSEGoBrUk2HnwemRk2tQh0gQuDzg88nfLAGx8lQrLuQp8OifrDMDP+mHdj8AIklUwL2h3lKjLs/XLS3CmkTedQio4k0h8xyrBufh484yT5HKokycwazWIR0nqUartvZiTZ6m6guilIqbfwrIsDFNjQ0sKd1ONrnYb0nmolinedBfl8SKBU/uxlQZ798LGQQynl6iWopS2qNYKxI8t8i/HuglrE7hrM9iN/RAMEkmPUy9Wqfhi6PUyVjzJ6YM5nnB8AG/w3dhHotwStvjUpz734m57XFu5YduXGRsN8XzdQWjtzcyn3FRnNNrccSJLxzG1Mm/P/g23tF3Lzo/+MkeOKk6cEI+bTEYSwXVdxMBf+Qro1HFqdXxui2uurHLFJlizxccTTypsW9o1ryYWXlwUshQMysIzNyetptD3sUG3bamUZDJCcvL5l1pflzu1u7lZSN/cnBAv237tbbdVrOKVsCtgPAWFDNgBuP0x2L8NImloXYSWSTH2s7QVES1SgYlHoOSU+IVsFHbfBX1DYn6nWyLirTig4AdPDrY9Lw7D931VwiptwKFJ+nfFEMITj8JUu4Rprh0CbDi8VVpXlgVjI6fJntr34r5v+uD/YsPNv8KyD2Y7QDlg9xZIr3hlLTRCMgSNedjYCNdvgseATBSmO1fISBhcc2BNgtOC6bEVI78mSHTA5u3QbkNiBnxh6Nzw6sfxqwXwKAjokLXgKwX42A9gBEngUWDaBcmUTIiVdfAaELnMbhCbgD0IockCbXyvCn4VFwdvHoIDUhNeuxYcDoJTs8ziI9E6SMnwEZs+ijczR71pAG92hqzbRVvpBN58GUcpi9XUSNXlw9RLZNdvx2cfwmxspDw8RbV/PQ6tTLCeo1ysoZbnKGTqODITOEplwv48Hmedlr45kmYj1RLU6hpmrUgtbOGKmVQsJ3oqw5e+FMLtfhSX6z7CwQQb1jxCvhimq89mY9SmrNxMxt2UyzZX1M6jGWlmtA6WQ13cWv0mfU0foO8dYYJBxdiZEldsXOaaq1xUPSEOHZJ2TF97DUPZTMxodHWC11nD7bJ58EHFwoKQkWr1e21iLvyaugClvvu6bFb0LIGAPM/CgkifTFMqNum0EJzW1lfPYrnQ/gIhTRdTD+PzwW//Nnz5yzKd9eCDMhK/ilW8EegrE392GMxmcKbh+j3gH4W6U+IJtDrUA9Kq0VZCJXVLppsqTnBnwG6T9lDZIQRIr4tBoKVD2Slj491jUu1JhcWwz10W4mSPi4DYU5T7+XJCgJaiEMyKGV/RDfl12+j/028y+mv3cNXNv4Pvfb9Bti76HU8Ougw44YXwAiQDMo5eM2W/lCmj7b8VgK8Bi2W4NgfOdhj3QvspqDkhHwSPQwTRs71wpgTb1kNLOzADxIGW7z2OVVsEuSD/Vl+2ztQsiJfk2DW4oKLgj4AlwKVD8BjEhiXSYce94H7FOmLbkF2AhRL4W6D5IufPXYvocJ4DNiIulKszDZcGbx6CcyFtslKBQgHdadCs5skYzQSKKTzFJXC5qRouGjc00XXuWXyVFE5HCOU0YHEeZ8cSmaqb+uAuypFWvNoMmYCHdHAdDfYC+ZqLM8UIhXSF9eYQe7IdpG0/UcPkHh6ilPdTd3nR8wlMu0bODHO8MkCx5kCvFilYTjQnbN7soavza/R1ZajXouzebWGV6xwcirI85MHphFDQYqnkI6Bl8RgVrrsiT0dVI5NT+AN17ts4Rf07f0llrIp9TCf//p/H7x9A00AzNKjVGR3T+Nw/OwiHTJwPK27aJdELF7JGP/Qh0e9cQCwmLZ0LJCQcfomojIzAkZUBDLdbRM3J5EvVkVxOyE1LixChePy7NTi1GoyPS5UHxHRw69aLa1nT2gof/ejF2/4q3nzQQ6CvAW0YKABZqNngdEO+BkZeqjYLXlgKw5k+Mbnz5sQVuGrKSLg7L87CyYh8GRp1iM0BdXEnbpyHmXbAlqDLqim6nbITgikJvjRqQkqULaLkyR6pAtlIntWVR2GzupHE/WdoMdoZOQAP3w8RHyTboXsPGD5YtuV5bR1a50ULlIvD8y/AhvuhYS2UY/AtBzRugu2HQQtARIlgulqEag5SE2A4YU8Crn8MVAKwQL0LtLu++zje6YYv5iG14h/03pU2VrUOXxmDmRXStikKa9thUUEn4DsBxhT4O2BNWQTfne2gr5AY24a5b8KxJ6CsQaYZun8Rdl5EIbICdq1cVnFp8eYhOLmc9FNmZqivGyS19RYqLj/eo/sI7HkUC41C5xp0UyN24OsYbgPTocPMtPR6dA39i18g5OtFeTzEciOkWtdCVzNRQ4HeQmHDVeS+Porbk6IvO45ROU3BEWKnOkdv8QwT7OJc521ES/uZtZp5xnsPL8x3Eg1MoevtaLqOriQeq1rz4nUbJNOKxhaDgF5h6JzN6ESN7j6DtlaLZLKXWHmWu8r/RGUmTuodb2Vh2UdMt2l68il0lwNnYyO1VIbg7oe46T99nFOn4OgRg1rRplq12bS+juF1MjGt+MY34IYbhOBMT8OJE7B5M3z729LK2bRJ2l0XAtYbGoS01Gpw9KhURQxDCNC5c0KAMhk5/BeMADVNLuXyd5+eVEqIj2GsGHcZEgPR3n7p3yqrWMXrRT0J5RCUTVAFmFsLqTJMhmH9cfAVIB6WqksoJVWbdAB6xqXaUnSJn8y6s3B+EDxlyHhltDwXkC91Tx7iDUJWPEXx1Ml5JUm86JIqzfGNYhoYS0LeDU/eAs5iDTu+RCstOFc+f6EUOALtlJ3S6mpchGhehM3fuRbufRQWveJ4rICOsZW4vjC84IDsN+CJNbA5AGkFw37ovR3ecjNM/rNkTA1nYKwfGoKw1gc8Jqnqrn4JIuXLYF8PaR3OLMj2B5vhVwKwUIdGHXpWqsnDGZjKQpNHjsXJBHRGQXlECR5MQ9UJXgWGCypZqJVeIjhWEiaeFF2UX4fmKdhzCK7ZtaqJ+UnEm4fgmCbcdx/26dMsXv9OypobXdVJdA5AsYBn/BRWQzNmXytaJCQux36PVHwSCSqJDPXGFkLtPpypBbSgh4W+G8mGOlC5DDWnj0bnMk0NNpX/y957h8l10Pfen1PmTO8727Vd0mrVrWJb7kXuGNtgSrCNcS4QAxfuJbz33od7E0LeFODeJDcVXuIEQowhIQYbYztYlm0ZG6vL6mW1RdvbzOz0duac94/fynIjIBcebM33eeaxtZqZnT2jOfs9v9+3DGb4x/j19FW38KHqv+HI+zADYepiKrs7zidV8TBt1vH0jlaSma1sP3oHq1f8KV09n6U4X8TZ6qZcVjh5ykEoaOEybIxsikWOPGa4QNfiGN6gTl3UyYTvYn6ab6Xi8LGxPsZKFAYGbX68azXLqyoXBecwvAYUC2DIxGJ0VKVYMPjKV2xwO0BTXkoJjsdlAnO6EuFb34LnnhOOt3Ur3HsvbHqV4day5HY6S+b0Y1tbZbKTzwthcTpll2/br9XtnM6jgTNZOdXq2//PooYa3kpYRXD0gN4JU0fgWATcU5BugZkwbN4Cwz1gKpJtw8KUY6xVbOJuGwLzQnaWHJHV1JHVEqjnLAKqaHiSEVh0CjJ+ePYaWHkQonNCmI4sg50boWtItDvzYTiytMrJr3yMyf5tfOGGp6n3daObstLSLPn+WhUCCxck/qRk8excCVdslTyetmGIzUHJBy/+J9kunUxCfAoaohAJQAwII26o7o9DOSnVEqURiAUAG9TSQvr5PLi8C4WfGXh4VCY0ACdn4X1roMP1yuNrSk+u3JDj57PgHuDbQL4DNhyC+gwUSuCpA8fL0tVtU/JoXlp/q/J6TGoE592Ic4fgLAhG7HSWojuEMTaAUq1iO9wU2pbiffFnVIomeiBCWo8QyR5FscrYLieMjqD1Lqd4/hVYpkWu+xbU7c/jPXWYhse+RbagMrPxPSTWr+ex8fPYsv1Cbi4+SHO0wrzWyZxSR8/SEA4sVMUmg5+f7G5kYHI72fKdQIl9Bz9PNq2zdNGHyGZcNDaC261gVRRGB8sU034clkFXJE5HnZvBZJhiXkXV3cyFluC1M2x90qa1w2Z2DsbtJp7fY5DJ7OHyyEHcH3ovIOSjowNA4bb3Kfzwh/Jh13Wwy2X2vlBF0TS6ew26u+Hv/x46O+U+yST87GevJTgOh9xnYOBMZ1R3t+hwentlwmOaMDoqxKep6bUanEBAnr9Uksfncr96gGANNfwmQVGkqiCeES2OsyBThJk6mGiA6DQMdkhdgmLJisnUxLWU9YhjaqJVVkvuPJQUaEiLwwqkCiHrhGcvEU2OsyxhgGoPzAfhxTVCdJIRebxtWYx85eMc23s/AF979FL+x827WZptwlmBmQZxX6WCsGe9NJkHU/CeH8OPbhMS1DQJezbArQ8tlIU+J6RtehN4MtA/Ce0BCHTDmgVXpe6RW2c9nJyHZEYuZPRmyD4PyhDknBB5P0zpUDKhboGMxHMwm4W28CuPbYcffA6Yzi84Ob1Q7xHh7nqg3AHl6yF+DJx+aF4vuqfT0OqgaQkkj4pIe94F7WvgLQ5FruE3BOcOwSmV4ORJlIF+9Ow8VbcfJTGH6ffino+TuvZ2hsLraQ27cKZnsdxe1Lqw/Ebu6kZpaqT80KMUpjP4fGC4bBqOnqDU2UvA4yC8636GOpo4ONXCLU2P07p8BTN6PS86NrN0+HH05CQDdjc7Sx7S1fUcy2wnW74dGaxC1FPHlzfZnFIn2D3pxaWqOJsUqFRZ3JRlbynM6KiTttA8Y5MqhrtMybIxTQ1Nq5KZzZJ2unnspyq5gkqh2sJEoI6HlVZmFt/M+9dF8CLTlB07ZGO3Zg2sWCGroe2PzFDZ9oKkJzv8+EsdxGKL8HiEbDQ1yWPr6197aBVF9DINDTKhqauT9dTpv3M45LbkPyjBc7uFeE1Py0mwp+eMhbuGGt4pUDSojEHhFKiphUlFVTqbjLLk2UzXw3SjFGi2jItuxpeVssyOU3CqRcL6VBN6ErBmtwiSs16Zsii2iI99eSEfbjmFUHLC8aWi5QlkZDU1W2fz9L/dy4EDZyq21jfdzPnjjViq1D6UDHjhArGgx+ZkbbXikOh+TB3m6yCUgbwXdt4EV/wAMrrUQkQrcP4OGDPglgOweCPUybUUc3MwfBKcBly+GtJ5KKXgxDMwUg/etKzzKmukcdu2RYwb16Ggg/N1fjv5DfjQYhhMS/nm4hA4FqYxTsCpAD0Q/QWGAUWD7rvBcRBGC+BeAmte55xWw7sD5w7BicXA7UYJBGh45l+ZuvAWii1d+A9uxzx0jBMrbiHnDaIPJekJFdHcDsDGHhsHTUPJZXH5HeQGcnhGjmIVyrhSs8yUgySqITxXXcjEqEk6A/VdfmyPF2U2TdZhMtJ1BYPDwww1XERHo82DW3YwPnsbIJdkLkcjGzq/ixGpskEbJGEFaU8MEJ6dZVBfykBqJeGQhTWfZ9tAOyuDKm5Tw+epkslBtVghW3Rx8wWjbO+PMZEPYdmgu510rHGSdsDJAejrg/vugyNHhHg8+qjIkpIJi+COPQTtAs2uNMXqPNX+FKrdzKc/rfHMM7B8uRCOvj45Eb06+0ZVpaj7zcDlktdTQw3vVGgx8GyG6a9Lt1TdpBCanA+MhSmOZkPaBxPN0DYqQuDonHRI6Sb0HRdRsK2K7iYalxXKbGyh3kER9xSAbovuBkVWTYtG5Ht48mAUbLY8+ln2HvjmS6/v5sg9fLbhb8FWcFQkj8ddgMX9sHu96HraRsRJNdABzhIUdZhsAEuH4AGwPZC8BLwWRHfDxGIIBWFxHeg/A+sKiJfg8R9CMSXBgCeegw0G5KegPAjj5kW4AAAgAElEQVTpIGSCUDGh/jC0XwLtTfDXBswbEG6DPh/c8DrHOGDAmjfReacY0L4Oaqeadz/OHYLjdIoKdv16jJkZmr/5+1CukG3oZkfTNRwZa2Ai2cZiw6Zj9D4sdxVt/XmoigLtbVi6jmdRHR6thHkiT2VihiH/ShJqHY7MDInIYobSMTxBg0OlXtZZY3jsLB7KZFxt1F3bwWXeAkdGnubF4/ciUU9g6A3csPZ+5spr+NcjJjFvDlcxSZ+xG1Nz02EOklNMnpheS6roZz6vMjKu0tCg4HDYtDRWadJSXBp7FG00S2xe5+uTt3Ew2ULfMpsDB3Q8HtiwQYLsTpyQqgRdhz17YP9+8BkVbhg+zHTLaooa2JbJjaVHgetZtkzWTaWSEBxFeaXe5s3CNGU15fGIzqeGGt7R0OGUBcU41MUhpIC5TLqcfHnph2qYguWHYOvlUj7ZMiGTmYoTlKpoS7qGJcdmohV+vhE8ZdHq+DOywlJsuTly8lhTP1Pf0DYOZYfNzx79Xfbt+JuXXtr1kTv5Qvc3Od6jEq+TbqroHLjK0DQFlzwP+9dAKixN6OF5eZ2DPbJqC1qQXQzfWQqBOQjNQvt+sYTbvTBsQcSCiA39R2Va4/eJkHhuGE4VQStBeAYS7WI1dxTA7xDLd6kLwpYUhyka/ADp1/gFMVtnjbwFeVv6rvRaIdQ5gXOH4GSzYgPasQO7oQHV4cBubSXlaCeiFrnevYNU/yP45sfw5g9TcfqgrR1tzSpM1Ukp2MCIfznlNo2WwJM8WbyYLcfbiGaG6fD1Y6W7Ca9p5LpmhbFT7YyYPpxKEtOr0teZJRLJ89O9I3z5m5+iUJRiY12v5+qrnqBtUTupfg8+T5y87aFazLKHVSzxjGGWTGJzRxkZP49C3kGpDFOTNlOT0NFms+L9DhbPDNFuDZHOVgl4qlzfso+Eq5H4jEUnQ5TKCkefctPziZaXxLy2LTZu24ZMXmfI6uTa4e+zuAfC+TFiv3WNsJiFIkqP57W5N28WmQx8/euSlaPrcPfd8hbVUMM7FZNFmPg78JVkpVRV5L9lFzgTMNkkDeBXPgXdA5D1w7ElYhU3SkJeDqyEI8vFKh5Iy7oqacsaq+iAREyyaBwlaJwEd1ms5eF5CeLzZGx2PPVF9j33Fy+9riujH+Tedf/IQL3GTINoc4pOCehbfEIEzipCuDI+KQf1ZSQwsGsIUp3Q2AFxNyzeC8E5mInBZKtY1vVhyAUk9yY8KynF1sKkt1IEqwLlKmBAOA+REbB88gvIfaW8xqIiOTYG4pACeJXZ8g1jfxn+uSCZQy0q/I4XfLXeuXc9zh2Coyjwve/JuMC2UVTJ8zYrkHW4qFemcCuzxBU3mm2BWWRgV4LWyCzFZa3s1S6hlLBwqBYHwx/m4HEDxamQdXWx3VpBZURlYofF1fmHua6wBb0+xE/rPkKbJ8Fib44TmSR/+PefIVsQm4LfH+W9730SWMF01kLRwNceZXzcpkGP48DEQkU3i8wTJugxKeR0dE3BNqtEAhWmJ3UK0xmWzz9PKW+SKns4WFnKQKUNVVWJaXHq80P43FUmHleI3hjn2mtX8dhjckgMQ0iG16vxc+9m6t1Vblz5DDRski6Dz38eNm9G2XwdNspL5OatCuDbskXITWur6Hu+8x34kz95bcBgDTW8U+BIi3YlFZbeqbwHCh7RxxhlcUKZugTteQvytfpZGFoEiybghfNh62axghfcMllpWMi8yXlkijPQJdOhujiMt0lT90gbfOR+WSVte/bL/Py5r7z0mtYtuo3PL/5nDFPHVuV55oOyfqqqMvnJeeXiJe+VAD9PTr5mOmRqVIxDoB0yI0LKPCkIpeT1571gOUEPS27NoUdg9mPQdQhS82CVoTEOnqhoiZIdYHeCKwKLwuD6O6iG4IKPwdYWGEaIyHmIK+vNomzD/QUIKuBWYKwKW0vw3prG712Pc4fglEqigPX5JFZ3Qf3abM2g3HQL4cWXUToygPqtByg5myg4g1QaOjnWr+Fc3U7BNvA6climSaWiYFWqtDtmGc1HqVZKnJr2sNrex8XzjzJkdxBLlXh/6a8wV9/EKbuBD/zePWTykpDn84b45Md/ym3vX8HgIGQzCqNjCjNTYJXLTBmLuMLYTl1xjNFqPbtZzx3rj/OdFxYzPW+gl3NUShoev07/1mGO1rtxKQ3Ml9zsLvXiMwo4lSIOrcqUp4uQluU872F44RQ3f3IVq1aJHfw735Fwvnwe3LEAXZ+4DfOaK9H+8EsomgoeD8oDD6DW12OvXfeSffu0/iYel0A+j0c0OmdLfJLJM0Li0yWc5XKN4NTwDoa64BQyYbZOSi+1qriU5gPQMwR6RUhGVZHJjsME3YJDK2C4S1xRzoqQj4oD6uYk4Xi8WXQ2qEI6FFtIiFGWzqrv3gl7hv+N7c98+aWX07XsPdx4w/c4oDmIzsJsvWh5PEVxYLkK8pyRuAiOYyVZHRW9C+syS36GmSAMJeH8GZhslK81TEEsLu4rywFpQywTviqcKsDI3XDXQcinYMIFjEmVRWU5tN8AzQnwPgB2EzADLf8Hfu9P4ZBLmk43yo+KbcNQBVIWtOhQf5a/tUq2JCG7Fs5bLgXmrbfgva7hNx7nDsEpFMQmrqhgg10sojQ1YaxdR+tiF+XBE4S8FnzsOpKP/pyyN0r+xk9wINmMXfbit3VKmhtNqeDV0jhsFyVXkBYrjqVVKLobiBbimIqOoqmUFSf+gEKysZlgOc3vv+9T/Ndv/TG67uGjV9zH7ccfIfTAzwh9+C6sQAizarNzu82urQV8dS76Yx9kVClTKGucb6qc7PfRWFchk1MI+BVCrW4Cao6yp5V/qNwFyXmq+SKTSjMd7QpdrRqV0Qpq1WR94yneoz4LkasA6Gg16QxlqLvXxV98w02lArfdBmvX6hSmC7hyRfSORUJkXC6UoSGUdetecTgnJ+GP/kgcVpYFV14JH/3or9YufhobNgjBMk15e1atErJUQw3vVBS9so6xkTA/X0ZIQiIkAXw5DzRNiOg4HRDBcf9iONYr9nEsuY+pyWTFzAsRqZ9eqG7QwFMvpKhiiIvKl5bnGO6C5Y73Mn3eBxja+68ELrgO674f8JcNBhc/D92DMj3SqvJ9YjMSKNg0ISnFXadgYhp2Xw0T7dAyJEnKeTekIvI5T/hEM6RUAQ3SrZLeXE2Knb3UJiumkBNGndCxBKp5MMIwfELIDmUYOwrl7dBlgccNuMEehdYkLHpVdcMzOXgsKzodDfhEGDrOIrTGp8AyHQ6b4rQqAetrF1HnBM4dgpPJYE7OgGmiamAFwqRjiykEegicGEFLJygpOur684iPGAx1babia6RhUZCnt1TxjBWItrgwdJ34uIVCGdPpYbW5m8uqj/N1+73MaHV4rDQt2gRRvYzbpZBRbOYKHhb33MynP76KYtpDeNzFo85ref/E4wT+4a/JfexTKL4ISxZDfdBFOmWTnilQdfsJOjWKJZU2h4oagKuvzXHy5wkKagWvUaarR2ffcID6TptyKcDsjIe87sCtKmhN9fxP7f9lkTEDHe1w3fXCSJ74KWQydCgKf/7ZS8hEO1HVBclNNILtdGPPxVF8HmEeLS2vsU5t2yYDsY4OOfFt2wY33ywC5l8Vq1bBpz4Fhw6Jtfyii86OINVQw28aghlZHc3ViTtJtUWD48tDOCk6moohOpysF051wKlOmaSUvKBVwJUXq7duwtVPQCwB03VSyIkKjoWwzPCc3MefEVeSUoWK20H3H3yXuZ0baLv+0zgKTkiKDTzrlcTksgMcXingDKTFSaUAqiEpxpuOw7Pvg1MrYHpK3FzuCrgzkPLLCi6QgpIH/CEhdL5WqDRCXIW582EwAlfvg8kfCdkL1sHld8ALW8DhBN2Aaitkt4K7FciC5QbVtxDgt4CqDU/koEkXYXCiCk/l4J6zIDiKAnd74fkSxC1Y6YDeGsE5J3DuEBzLwpzPotTHUFobUAJBSqkS5ed24rmsGyoq1USS8l/+NZG0iZUvMXP1b1GayXBjYisuiszON/C0vpnelgLnL5sk5C5jFTxElA3crTsopWZwDW/EnJgmu6gPImWOD+okAj2Yik5Xz3Lm9o8R5BBz2iLiaoz2/T/Ed3+JTNdKzA3XUvU5KFc09HY/6YITTQPNAWYV7rwTdu3ycsntzVgWZKayJDM6ZVMlXXGjOhTcfp2ODoWmJti718sfOH+fi5bm+PCnI7h9GrzwAko2K0ykXEZ74Xnct7VRMhdsUV4vpc/8LvoPvg2ppATlnDghYp3LLxfhDmfWUacFy/DGyElfn9xqqOHdAEcRek7Jyic2BU9fKdOajgGZmNiqfF7mI6LTcVTBmwNXURxNvcdg004Y7BT799KTQmJCaWkkT4WgdUqIVHBe1l1TjdLeXbgUBqIwXa9T1/sF7Lwk/wayQqwCWbjjuyJiPrgKIlnRB1UdsmJyloXsLC9CIQMnj0gejaUBC51QehXyPgkSzLvA1QwUoZiBmA7py6DQB9eV4MKHQAuD6oTKFBR2gKafOV9ku2G+BLG0nF6KPlC+Av73gPeCM8dUASrIuspCJjlnC6cCV7p++f1qeHfh3NGROxwo2FiJJHYyRdUfpKrruH70L2QfewY7kSD142d49kiUF1J9FJ7fi7H3BZqf+xdsIGNEaFan6M7sY1GkgGWpeB1l3FE3c74O0imbh3Y1cbj+KpKFWT738F+wp9zIg0+HmT0wzsS+aZ7+aYlkxYelaChVk8bJfdiqRqG+HV9ynPqTL7C0IUXQZ+FzmViWTbUqJ4RcDn7wA8maqWtxkSo6CXVGCNUbrFlWBFWlYkqolssl9m9dh2CTh2cOx/jzv9QkJbhUPNNg6XCAaeJQqy9VI1gW6Is7Ub70+3DhhZK4F4nAxISMWhawfLmkD8fjEs63efNr6xdqqOFcg+2W1m61KonAN/0E3vsjuPxZERhXHFD0yOpnOiYEIzYDkVnJsKmqYt9eclJIT9Ep97GRP/syC3UJhmhfHpm5j0e3f5GBbpsN22HFflhxEJYeZ2EsI6uuurj0TGW9UobpzkvYoF6VdZgnJ1OlShW2roCR/RKq1w4YFempctrgroLLkpWWakNuFrKzUG2BJzbCzhxsSMLtZdH2KAuTFsUBVhaWrIdiDjIJyVCt/wSY90AhBnoPaBFIPwzm7MIBVUANwT974Z/cMKnD1bU4iRp+RZwzExzb6UIzNOxShfJMEuO5Z2nSNcw6hdQTPyNVtBhUl5AxNILFUQpWjv4tI1x3mUnJcJNLlsjlNXobU+SiqylYKmUrj1U0efFkiIieIVn08o2fFNh38BHGc3FOfuNzbLr0GVJ1PaTHMwyerGLjxd2+nsuzj9BUmiV7/nVoHhfuzCzB0ijJ9CIMUydX8uDQqri9OqmUDE7C4TNt2729Cg4dbru2ipLLcfSkxolRD9MZhYkJCAYlqfh0eeX4uLiW3rN2sdR2n+5P6O5GdTrwOs90P2kaKMWyKH59PnkCp1MusxC99pEjslLKZmVVtX59bb1UQw2WAyZjsp4quoTUGBWY94PTlDXVUIekGBumCIU1GxqnRbAbSsN0g1iw966DnRfAXf8k6cJFtwTxGRX5/63j/8Q/DHwCG5tV20osv/v/oKLQPL7gdMrLdMfUYN1uESInIuAqiXbneDv45yQ7p1wP2WYYj8hH3o5D0gGdLgjkQAmDxwfHFDByUPBCIAFmXKohtlwDlgGtafgHA+q80N4LhcNCbmwLPOvA1Q7eoEyIvEHwBCB3ChRVbhiAAlYGiMELwCknXF2FtC2i7MC5c1lew5vEOUNwqqqO2lCPcfwoyvy0ROZGQjjyBYIdfhyjs1glnUXVIayqiqbZDNVtoOQ7QqQwiy/owHJWOFbfjk8rEju5g/pohnTZic+9ElSDju45vvPsR5nKxQGYToyTzx1hNnEV7nCATRdVuGr5GM6edkKxu8gdCKOODmOPjWEpOeZ7VvP9rfXM5VyYqoYvVKFvtUapJCunZFJIhGnKpCVapxBs9mGZbopjCkHnPBsP3Ifq0hhacyODxRZKDoOuLpHSjI2BeX0r+vXXC+Px+WRCoygonBnsADIGqq+HmZkzLZltbYAQnGpVCJffL43hC9zn7XnvqnLT9bfOol5DDW8HSjmIR2R646iINqbolIlJbE4Ijaso5MPUZchSVcVlVXRLno0nB8Md8nz100KULIdMdrSqkJQn5r7H97ffg72QGDM69AzLc3k0p5fhTqho0DEEq16UNdjmJ0W8nIjKysmbhSUD8neZIJxcL0QnNgDWKWgtQ38fZJyyElreBZduhBcOwI4nJd040QhbNstaK2dIHk9Wh0VOOKLA2g9Afh9UU+BaAs6F6GBfSG6nYbQDqpAl2xQdjt4gfzeFCINDmgT+jQIp4FVVdm8JbBumKmJRb3TUwgDfDThnCI4VjJC+7nb8Y3+O4vHA1VdjT04KYxibQQ8HmEm2UVIceJQCu2M3EGyrZ67LTyWRxlWcZ0pvxcjncD/7BMH4DvIRL7lAC0NzeUIrXfzv793FVHwAAF3Tuf3938Ohb0bXLJb1KrgNBX9jmNmURbkM2dbNaKPPUl86yYCzi/n0chJZB5FwlbIFx0566OixKZflk+ZwSI9UTw9cdhmsXg1OlwLoROsh8sB38GVH6d/wYUoOLw16lpQaIRCQYYyuLyQQNzbK7T+CosAVV8haKpPBbmun3NSBUhZLt88nUTmGIaPmX/Z0bxSlEqRSZ/4cDtds5DX85sKdh/X7pCk8E4DhRTAXkwnNUJc0gBddYhnXLMmQKRvy9XhIVknzYXjwVrF0/z9/Jn8fD8lKaKIRHq7+Gw/9+53YtnidIy2rWP2nT5D0e4lH5fln6uDAWrj4eVizD470iYB5ugnGW2DZMdHSqC7RAHWcgKgJx5tFtxAbh7op8C+BFWvhvNVgOODS1eB5Eh5ygumGw0tlQlT2QX0BIjqUHFJ+qTrAt/GXHzNHM0Q/DrkXRK+jXgozhiQn96nwYyCBFNuEeWuycV4Ny4YfJWFvXkhntxPuiJ7puarhnYlzhuDYNmhBLyxZih0Nw+7dKIkEKAqOQADHeD+36SPsC17GY45baHNNs+KiZUxHeqkENSgVUbZvRwu48aQn0Sol0tMqmYkJCs4m/vQvv8zQ+EkANFXjr7701xyfuIF80aantYBlu9CtCqWySsRrkq/qOJwaT8yexwrNRW8gycRMivlclPG4zvCETlMTRKIqiiqDlC1bZBIzMyOroZc7t1esgMncCCeUJSSrQXTLwqsXsP0WDquMnxwXXhNGUc7iE+tywfr1WJY0gWcHhPfU1Yne+OBBeT1r10Jz81v7fp1GJiNTm9MaoUzm7JxaNdTw64RmQTGw4DJyQs4Pm7eKGNhW4Mgymc4U3XJOcpegbhp6TwiR8eRh/2o4ulzWW2UHlCKAAooJ22ce5uGnP4xtyz453NjHxb//JLlIlKImwYKKjUxENPl+l26DqQaxk7+wSb5v7zGZVExGwO8GjxeMOHiroGfldeg6uMYhskBuYKH08yrQn4HheklfximPmw1ARxouzsKlvrM7bkan3MbK8I8JKM1JXs09EfjPBjwNBIFbgbdDKzxWFnLTtDBVO1GE40VYUYuteEfjnCE4SiGH8/hB7Fg9iseJclpfoqoo+fxLtQTe7DSGJ0s0qFIpVZkcNQmrcTyZaSI7H2K693JyrjqMieexvWEOGS387xf+mLGpIwCoqsoffeH/Eo3dhjKro9kqTtXEaZTRVZtsQcWvVhieMOgfAE/MhxXuIa4mqG9vxE66sU0bBYW5pE5dnWyH4nH5BR+Nyss+cgR27YKLL5afz+kEli7Ff3CWvJXDNTlNKraYYDDLcscx2gLTKIP1EFl/1kVSmYwQKtfCmWVuDrq6RIP8duN0uCC89VURNdTwVsM0JKvGUqFoQE+/rIsqDhH4dg9C2i8C4V0bhcB88v+D0Rbw5iUvx1kEZ14yXwY7YfV++Vr/yce4b/R2LNsEIBpdyg2f3UrfiRiug7D9QnmeeJ18VqrqmcBBowh1CbjrW3B05UKT+QQUSpAPwcFboHQIoj8DPSOvP9EIESfs3Ab1qyC08Pnv7oUtOyBZB74KmGXwVMFTgVuOgMeEsRXQ0fSLj9Mvwo9SMkFq0iFZhYfS8Ok62PCWvUOvj4q9oMleWEspihSc1vDOxjlDcBxmEdthYNU3oo4NyRedTvmXPDmJXS6DAm2VE6ytO8oD9n/nsrSLhx832X84iKaHuFNbzUdm70PramM2qTLobOPeXd9lLC7uIkVR+Nw9/xd/6A627vGTyalEIjaTCYON0SSK200VjaFxg8FRg8Z6m87FFntfbODu9/s5frBCb0MCozGK6lA52W+ha3DxxSqplBCaQEBWNJomK6KXY+zyO0gO/xhnIU0q2kFW8dNSnqah1UTRgjL6icdFW3MWOC0+frmI2Po1JYF6va/U9wTejuV7DTW8RVArEuznMMFTkF/+ehVyLsCWyYg/KwWXF+yAA8vh8ErY+HMJ6tMrsoryp0S0+9j1YhdXf/oEfzZ6G6YtNeLhSA+33vsUDaVG3CWZGN3wGCTC0g+FLdMVfxp2XCikaucM3PQoBOYlNXmyFSJVOHAVOJfCeR1wqhdKj0ChCg1hKfPMGjCdPUNwFnnh0jIUZ2CqBeptWYGvLUKLWxrCdx2D9sazNx5krDOJw24FMtW36p35j9FqiO5mrALYENShy/nr+d41vH04ZwgO5RJ6tSRy/kgUe//+l9S6SjoNlo2mW5i6G2NqjN0pD/vHPYxOGTSEivjMBLtLq/ntticJMsfP61bzyb2PMJ44Y51ed943yNi/zdFxBZdHIZWGbNqiwZ2k8OwO2gPzzKWdjIZuxNa9eN0W5apOT3eVgLfK8tgU+80GgrEqsfmTFAcnab/vKcL/45N88IOLePFFGBkRcrNu3WvXQovX+PjHVb8lU48qdDvjrPWfwKV7eSk+6w2MQLxemaIUFwLGXK6FidGvAW63/LymKcTOOIuArxpq+HWjCmQ8MjlxVESTUz+3kCBsiham4JaOJ7UKlg7fvlsmPMsPy9cCWfjs34qGJzYLw4NP8z8PvRfTlurJRmcHN3zqKVzRZmIDspZSLWiahAt/DmmfCIlDaWS1tZC1M94qDq5ARv6ciohweaYCFz0Di2y4cDOMBeHZB0BPgW1Avg/cL9O9KQqsWQstO+D6DAwEIN0EHTYoC6Jk6w1OWjd54LE0OFUoWXDTr+mCxqnCPTE4nJf3cJkbAmc36K7hNxDnDsHJ58k/+hSGVSLvDqMpftz5SRSPG7W+HnJ58lqAyfp1VCd1NnbOcmw2QrlSh1ou0uxOkHA2M920hqAxTJ89Q7tjnvGFp7/88r9hyZKPE4/LCqm+Hrw+MFSLjvn9XPT8n1FWDKaWvJ+l7gOMNF2G4VQplKGUKeFMTZNqbmdxo0YwbBJ4n4/uK1OEj6bgb/8W11e+wpe+BFu3yvSkuVmIx7e/LVdPGzaILfxjH4OjR4UYrFkewLXXfWbUEwzKjuss4XTKSiqVEqITCr1sy5VIwH33weCgVIHffbe8sLcIpx3qvy5CVUMNbwYVB4w1SwO3Jw9lTQLxVBsKTvlvOCFC4nJQeqY6hsU+PtAtJGU+JO6pjhEhIuacgWE7MCkScy7iDy98ij1Ni8g4RLfjKMvkx1LFRt15SnJzcgGpi7AV6avCFnLlKktTeeeQkKCNB2HFEkjkwdsMbauh907YMwCWB/pa4ZmAWLbrgY8DLZeCKybOsPNbpHbi2f2QKMtF0Lqlbyw24jKfCJXHK9DqgBUvE9ykj8HMk3KNGrsMQqvfinfsDDwqbDhL7VANv9k4ZwhOCRd2cp6SqqDYBSxs4tElRG+/Gqt9EfYTT6LkK/gn0uzz3UJdyKRVKXNoWsU0vDRu6uQDvXM0zHsYSiynpXSSv7vkQ9zy1DMUjdvJ5+8lnZYpR7Uqv5B9PhtHqciS+Av03/g5tFKBhpF+kvo6QgGLUlkhFLTpbZ7h+WN1VL0ONqyHwngCLJv69W2gLhfrlGURCqnceqtMM4p5i3++X8HtUXC5pCohGhUn9xlHk0OEMrMLqVn19a/ygv/qcDp/wWbrm9+UsVJXl3yf730P7rmn5ueu4ZyEYgu5cZakCDOcFHs2yJTFk5eVUzQhlu3hdmgZF51Mw4xoaHZeABt2SsCfNwfd2kX8adMWvjR2Dyt+72Ge9HfiLULVgP4l0N0v67DRhUaV7gH53kMewBZXVcUpt2wLhErgzEBHAmwdvEmw9oG2DEoL10LrO2FVmzzfkxpsUaANmAP+AviaCqHlZ37uAHDdBZDMgM8N9W8w9FNRYJVbbi9HaQ7GH4J93bC9EZwT8LE66Gt5Y9+nhnMD5wzBURWbkj+KYZUwzDwV1cC9tB02bYJkEusjd+As5DCG0xzbdgOFlI3qdHDheQXqGnUuuRIiuQrOrE2k1UNpxIOlhfntTV+lunQVK5fM0T/h4+SoE7dXIaqluOT437N85HFsj5fSwRMM9FxDtm8joTovRkylJVZgZXMSw1Z4dF+YiWmV3qJNxXJilTKQy4pPev16IQy2jToxjvHkk1T6x7kwXsf4eTeT8zShqpKTsxBVcwaGIV1SbxcGBmDpUnl9TqeMeSYn397vWUMNv6Gwka6pnFdWQacTiLN+IT9VVUiLswS71sFYu9x/tAWufAq2Xi228uisCJLnItAwDdHO8/nQhw/QOqJRcch98paIhxNRMArSSN4wCzm3kKlQAkZbhVCVvJALwYBD3FSdGXAEwaxI/YFVADUPvo6FnyMJ6efgqTzsioG3CfTFUscwAmQRV9PLEfHL7e1AJQkDEXiyXRrPCzrcV4QvW+CvXUvV8AtwzhAcW1EJlOKoio1tK+h2gYpLQy3moJCD+kasjg5014j4Qg0AACAASURBVByfdA3yw5/VY+XmuLhTYdEV3SQqbh7ctZ/K4ss5z9yJoVi8WFhMZHEDXatLjExotITz+D0mqmqz8sXvsiz5NFbIj1oqYTp9RMtTDK++kaZlDWRyFv6gwWTWj9PM0eca5PhojHTSh+EP0hUto7uC0NsroTcA/f3w5JNw4gQOTwitUqBz34PsXv872LY4rl6B2Vnxd0ci0or5dqCvTyxWui7/7eqCdJpSXQvxuHy5rq420Knh3EBVlTVQ55CsjLSqaGRQxLZtL3wOTtcxaI/I+shWYbIBdm4Edd9+ZpZ48OUWc/k2IUmP3gCtYxolA8pOCM9CWJWOKV9GRM2mLisrV1nydcbaZEXVOAVaCpRJ6MmAXoYikCxA0A9BDTQFFt0KgXawM2D9MWwJQFWBphTMKjDvhkIHNAAv3+TYNszMQ9mEuiC43wadnBGFuAe0MjhKkulTcEHCAs8EWAnQGkE9O/9EDe9ynDMEJ++NUfI5cWTnsVDQVQvn0f1QuhE1VodWLVEYnmBwOsjEyRRLjv+YpFqHMZLi0ekoBxIfZ8/eH5G46U+wr7uD7/9wjkQlhDIR4RpfldZGm7lZmwvW50kOJmjIDWKbForHiVksU9D9ZD0x1JYm6hts1DjoiolLKVMcmyOaHOBzDU8xdXwpgQuW09AdoOqJoa1efcYfPTIi+ymvF8Ol0dVSZmq2itMusm6dj/l5IRINDaAODcBXvyr3r1ax77wL64qrfqlD/KyLM++5B77/fYkz7uyEtjZK7hBbt0pGjm0Lt1q3rlblUMO7H6YOWJJeDGC6hLyUHDJVcVSE0Dx7sdjGb/qJ6GAqDjjZDf+y6hCTd15F0mHwne9vZahtGR2j8hyJOhEh66asl5acEMfWdKOIlTVbHFu2IuLmrE/6p7wFKelsSEHsEBh5QIVjiyGSkwuQno+At3XhhzgpE5N8G0Sr4B2HbCvMZqEnBysnYbsCyxog7IWdJ+DYmHy+3QZctxZ8nl/+ebcWrNm/ynnBiMDKi+DZWSjaoHWD2wP+vZC9f+E5VPB8SiZNNdQA5xDB0aplHJYiv+B1B5pmk46XefDPkyy5JkivdRD9Z0/TrruxsnU80fBfKNc1U1Z0dh36BP1DPwLg4Z98kfGhFUSrfUQ8BXR1jud2NHHvXVnaGipEAlXoCpHd4sXpDOJPzmIWLCouOOy7gJn90NmpoChgaFWUUhm1UsAKhIlYo0Qyu4iftPibh9eRMXU2XWlx1WZN8hkMQ4Q2IyMUKxoPHF7Fnnwfbc0e3HWiJd6zR+oTLtvzMBGHA5qbmZ8pc+IL3+fbF1zBeetV7rzz9UW7yaQ0ONg2xGJClH7pyScYhDvukMbxYhGamhguNpLPS+qwbcOpU7BkSc3iXcO7H86SrKB8eVlTWZq0dB/uldbuUEoaxzuGZRKT98Le9bDlWhhNH2XuI1dhz0vVS+qeW3H8wWH8WY3AMUk29qchGpeuq7Iump5QUvQ6JYOXzugVB/ScgKN9krXjrUDLKUgEoCkLnrQQrOF6OH8nDJ+CJf8NHB2AE4wq1JkQ10DVwDEGvVnIDcFIQLwFWwqwJgpxIBaW/JqxIXjiRejWoO1KiCx97TEqV+HpITiZAL8TruuB+l/Bl7C2A+5pgm1FcKtwqxscPwRioLjAmofiI+D7/FvwRtbwrsA5szjwlpOUNSeaYmFYRfKKh4HeG1l7dRRnZpb0ngF0zUbt6eZEYD3ujkbUiJ99Jz9L/9CDLz3Ppgv/C4bjCspVHbeVZ2rezXzOgepw4PA6OTHq5sRUiKkb7mGq90p2WBv4gfYB7o99nr3VNcxM2zz6owqOSo5qoUR5ZBILjXB5ChuwqjbYFqqhoGs2256xOX4cYRp9faIg7u1ly+QKdlVW03ZxGw5D5cABITjOhdLM6UkRMVsW7NkLtmXT2ipZOlu2vPb4lEqyzdJ14VHT07Jx+tUOrlfijC+8EDo6sHklK6qF89VwrsBZEqdU2SGro1AKJushlJEJzIurYboZkhFZZ001wSPvhcpgP4d+9yrK8zMA6G4/G3/nO4y1aVR0ec6KY2EN5YTBLji+RKYz/gw4C0KkMn6YWAR5P6w6BA1J8AD189CUlKJOZ0HWXtgy6Um1wnwB5v8R7DLQC8rFcPUR6JyUWomGmFywpLKQnAFKoDkgnoX4nExiSikozIDuA90Lw09Acf61x2jfJPQnoM4DpgWPnvjVbOWKAhe54Ish+K8BaNfFUfUK1M41NbwM584Ex67iaq2nOpIn37yYmQ9+hmh9FKWxgUy8jHffj3Ev66DqdTPWcj6KWeSZnV9kcPC7Lz3H2rWf5rprv8az22D/UBMjviiq2835nQrbdrvZuLJIvqhx/wMWS7qiHBu4k0nbg+qAteGF8bFDwSxUaHjuQQyfk0pLB4FjO/DpRWxVo1rfRMZZz3TCybEBg2i9QiKx8ALq6uCSS2DDBsbLXgInNRSX5MNks2AXS7jGh4jOHsNyOKmmCiiDp/AmLYY2fRhFU/H7YWLitcenUpETyMtXWKWSTIPOFm1toj1OJoXctLWJdb6GGt7tUGyo6HCiWwL99CrEkuDPi2j40DLIhGCyCZpHIRuA9PQge79yJcXkJAC608s1n/13Qk0bORCCh26FtXvBWRHtzmAHuItQcUE8DMmoZN34CzIxMlV5HQrg8MLSGJhZWG+C+W/Q3yhanWQEvBk4qUO1A1pyEMmDFgL7t8FzA1xQhtnDEA5CqizTnHwRQhXQE7BkQlZdiTQU0+BQJDRPUwEFKllwvcpRlSiAW5fzjc+AuTyUzFdm7fxKx1oB1y1Q+B6gys/rvONNv4U1vItwzhAcW9NIqmG8n7sdIxomtKyPxIyJnalgRyJ4r7kQZcc2rBUd3Hxjlc/83e8xOHj/S4+/6ILf5oO3fpVsWcEsmkQbDVB0rru6gtul0OKaI2DolJUAfUsqTA6XUW03ZsWmsUkIhGlCNgcbzzNovewyFBYEKnPdcOAAVKtkIx2MjsfIJCo4DZ2JKccrxcOGAYbBilWwa49MXGZmYNEi8I4fw5s8Rf3UHryzw6gfuhp9RS8vPhjlYL4bf0qkMsuXv+bw4HSKfqdUkhOHooDnDfaweDxw1VVS6aDrYi+viYxrOBegWtA1LARmslFybTQTisEz1QlZrxCLg6tgpniKnf/rSiqJMXm84eaazzxGZ/Mmylmxjh9aLm6o5YclxK/gkXWXoyIEqeCC+lmZGmUWLiQME2IFWFaC97TCUgPq1sEjVdB3yoQn74G+o+AzQW2Ek43QvnBBoyhAMzhtCI9BKi2nnogmjeHWAPQkITgGV0+CsRkyFUiMg56DYlUmPK7X6Y1bFJT1lKZCvgIxD7je4G8iYxNozWDFQW0G7Q3UQ9Tw7sU5Q3AKziCh916O2hIj19hNwRVBdSU5uKdC1qkx1PGf2KAGCS5p4Kv3/znbdv/gpcdu7L2NG6/4Kko6xfEXdTKZIKpiUTZVejqrhNUkc1Y98XKFxa151t9d5PHvJhibc7MiZLI/3kyx6OeCtWUaiqdw7xrFXl2H4jLg2DEhOUuWQLGIaYWIxWw+fLvFkSGL3Ude33G9aZOQpp07hUDcfKOJ/rvfJOOMofg1ouE6XDNjcOFH+dAy8PxY1k7XXvv6HVIOhxigpqYkSDAWe+MEByTtuLX1l9+vhhreTag4xPKd94mDqqoDBVkdfeujMNUs4t81+yBeGOOpr15JJXEKANVwce29j9DWcSlKVYhR2RCdznirNI67KpJ5U3bA2CJZWV22TfJ2hjpEwKxaYGtQUKB3F3Q3SjqyGYKr3gOV4zCmQNcEKB4gD3M9kPgQKK8yIagKXLweDh6Xi7ObeqB+AhL/DiU3uNogWpLgwJbVkHLD9F5QDWi+AByvcw7pi8lK6mQC2oJwQeubMyBoHXKroYZX45whOEbEDxs3YlcrlPIWbnWS3KPPYrvW0lLpp+oNcrzvNh585Ivcv+UMubm+72J+6/xPsOdAnONFF+VylWLRpqrI6mU+rbPxYg/hbJWy7cTWKpjzOT5w3iCm7mT3TpsLWsb49smLOPnDg1xn/TU+ZwX10yOwbBn09AhDed/7YGgIdwimhv2YioPVqyx6lpbwFTJgOV+h0lVVuOIKuQFyRmsPE5ybEnYykoBOqagLheCuu375MXK7xQj1i1CpnCn9DARk7VRzRtVQwxmUXHBkhTSJB1NCUPri8Pj10hy+4jBsuwT2Nk7S/ztXkkkMAqDqBnfe8hCruIrUrExXxlpgpA08OSFO8ZhMbVwLHVNLj8vqKpiCuTpoGwdUmG6AdXslZdjlgtD3obgebBe4bob3XAwD/wAvBqG/GxxuucC5LAADQBOi2zkNtws2viw1uAroHlAaARvsGVAXAtKDHXL7j6AqsKpBbq8H24adRfh5AXwqvMcHjefMb6oa3kqcO/9sTBNrZBy1bwn5vIoxPU9pyUr0WSeVioGeTrFn11Hue/CBlx5y5fk3cu8Fn8JbzVO3bBi1kGfXWCMpZwyHR8VwwKJWm6LlZDah09IKnukhQie2o2k2cW8HqYqHmCdLwF3h/JmfkKiL4G8CZsZheFg0NZOTsmdavx5PNsuFYZX5ihuPYRLo3wlPTMpYZf16IUWvB0WBz3wGvvENGBuT7oYNGyQ7Z9GiM1XgbxCWdWa6o6qyflLVt7SVoYYa3vFQqxBIQ9YD400iBt6yGV7YBMsPyXRlw274921/RWa6Xx6jOXjfBx4kuuZapqpSvZDxwVA7ROIyrSl4JfAvEzxjGb/iKVkxHV0qUx53GSJJESE3TwghCpTlNTlsMJuh9Bj4/wys49AzDQ1+KAUgPwffqEqycRD470jezetB6wDjt6DyEKJ9uQNm/GBkxTb+Zi96jpbgXzMQUSFRhW/Ow3+LgKu25q7hLHHuEBzbphKIMnLMopgtMzbqpCucpBzsoFK2UCol2jwB/tfdf8OffPs/s27llUTrH+B7Jy3u7N1FozNFwlPHeHYFpYyBx4C+PoumVoVKvkJlOkO0ycQ3cpTjc1GSCQXdX0ap6hQrOkXLCbpOyGcyMOxieHYRi5tyNL08eMYj4RFun40bYG5emEQ4LAKevXtlj/SLipkaG+EP/kBYyMMPw9e+diYY5wtfeFM+7WpVbqfLLi1LXOE1glNDDS+DLVObrE/ShnVLQun8KTiwSrJrMn64ceMfsWvfOPuPPcDHL/sXbp26iSOnYLRDHm+pIlJOa+Kgah0X23nZkN6prkFompa1lKMq5iFHGfqXSZEnKoTn5T6qCdUSElmsAwrELoLBJyFgQ2UGdvRCnQ4uYBz4MdI59YvguAT0i6FQhscPQuqATF5WL4J1HW+O5AyZ4ESmNz5g0oSkBU01glPDWeKcIThF1cNYyocyOUbUC+4AeOwiS7yjTOg2RjWD5dQJdX6Qr/3XKFuO3sieg3J49vVfwU1XFgiHqixqMkkWqjQ0aDg0m4F+m6YGJ9EeJ+aJnQwkwmybX4xRzVOYsvEGNHYebyZt6VQ238DsE18HK49bKfP32Q/z4cPzLD6vXXZDiiKTFtNciAedEVYBYm+y7TN//o+QTMJjj4kIRtMkiOa55+CGG97w8dM0eXmmKf9vWbVm7xpqeDVUWyYmS0/A4gFxPZkOycY5tFJShS/YDlmXRsuN3+L8dZ9mtet8jhngNGHZYdh3nqy4mseFJGX9/P/t3XlwnOV9wPHv793VHtKubsmyZcuyavmODw4DBQcSA+EYTtOGo0OGAg6dUDKkgdCLemgDgXYCpDSlaUtooSS0DYVpEihMgokHmxaMuWxhAza2sS1ZkmVJK2m12t2nfzyvrLWQrcPWXvp9Zt6R9z3Wz6NH+um37/sctJfbEVLVB6B2PyzbDE0LbT+YULd9pBUPw+EqaK8E5zVobAJ/OSQHwNkGyXIIXgfiQOUC2wm4cy94y2H3YhjsMucHesdQVxHY0QKHe6EyZGPCe3th/nQIn8AN4xqPncwvbqDP2JFZxZrcqAmYMglOIpagdP82trVXUxMoIOEkMQEh3tfJ7K497Cuax0eFyzE4xCuvYPt2h3CJ4BHDwYOGd94xnHFWAfG2w9QE4lSWFjKjZIBo1wBNHSEcB2KBOnZ1QmlxDH80CoES9oXnc/EqO4y7o+80Hpv5IKsamzHlFez+rJh9p0dovKZyaBFMxxnKHObMsRPotbfb6NHQYDvKjGZgYOi9Br9Go6NfZ8zQM6hhH8EGbwS1tdkkp6REh34rNdzgbMWz9sH7i+0op5r94ER6WfVakBXvCdsb7Wio7nIPK1vOoCtoJ+2Le22nZE/CDgPfPg+aa+zq49Vd0FwFfSHbl2fzGfaRVajHPn5qWwHNyyHZapeEWGDAaQA5AzxF4OwC7x3gmWvLKQLlc+0G8CXgZYb+IKweY33jSY7MejUYMpLD56YZQdJAP/aO0fC7PSsC0JKA190+ODcVQ5EmOGoCpkyC44+0U/xZE3MGmtm6dRFVswI8/dqL/OP6l7j78h9QXbsUv9NPQShI755m6C3D5yQ5HLX3i30+QdoPsu1X7Xz5ogL8hbMJm24Qh04TosrXhS/ooTsRROKdBEIh2gbqCARsYjBjBpSVCR9+WMX+iiq8XjCFULM8dOxWqKy0d10OHLCJTV3d2O79VlfD8uV2WmOPx94VOvPM41+TSNiZ/rq7bTZTV/e5SXB0ZJRSx5dw7OzCgT67SvheD/THuvnn//gKFXNW4l38MP1BwWATmQEv+KNQ4NglFqLunQ9JQtVB2FsH4R6YuceeG+qCki7oCtt1qIp6bb+ctrC9Q9O/CK7dCc51IG+CVAAdII1Aw7HLfQOwADsr8bzjn3qU36qGpn3QFrFJS30lhEf5DLYrAY/3Q8TAPA/c4oeilLDmCFwSsptSJ2LKJDheiRM7FKGmNIEv9jaPvLKHhzc8AcCjL97GH9f9jMbppZjS2VR7HJbO7+P9j4IMRKIM9CTw7NrFzl09OIkCkALK/RFicYduE6KIHkp8fTgeD/X10H6wiBYpo7DMT+M8WLrUJjkFBbabzTPPQCxmRzYtWDBKwcvK7DYejgNr18KWLXZBqAULbAGOp73dTpITDNpkZ487yksnsFFqzJyk7T+ze7btdzNraw83tV3K7s5N7D6wifDhOBde9hjGgbJOu5K4ETshYL8fWqqgz2//yAf6oXG7nfPmwHT73svfhWjQPmbqKbR9fZIBqDwIcz2wsgAWzwdpAJ4F3gBqgZs57rz1DnD6BOpbVgiXnwL7O8DvhbpKW/ZjSRqb3DjATIHtCXhpANbo4241CaZMghN3Anw0MJvClgj/3bSeh5vWHzlWVVTCwsgOTOG5JAd6EI+Xa79qWLKxhf6Nm/lN0ekY8XJoIEzFdC+V88v5YsVWWjsLOBAN8FGsjp5eYSDmY3ppLxc2NrObOsINDtHoUHIDsGQJ3H9/GipcUAArV479/FhsqKON1zs0M6F2tFFq7MQuetlTBM3hXv70/cto6txw5HBt8UKifnv3BbFJDWJX9wZ7nSM26dlbC5f93CZCOxbYR09Rvx0yHvNBdZvtRJxYDv1RmP4JLJnhvlEB8HvuNslKgnYbi37snZuZ7mSiYeDAGB5pKTURUybBMUCyL8a/7N/Nw02vHdlf7lvIdef+A+HFhXQXBUhG44QPNFHgBLmkdAdLFv+C/z2vkdcPNlKd2E/j7AH6ElEEQ2niEF3JYub49tN20CEiJVTFe9km1VSdMg1jbJ7hzYXvcjhsV9CLxewdnGBwKCtTSo2JuIMiI54of7nlKpraXz1y7Kyrv8/Zld+geLtNZCIhO6w77oWiiE1ayjvg0zqIFkJ5uU1sLt0AxW/a/jYHa6G13C64WXUQ2k6DZCEku6B8AsuqpFsA+1hqe8ImN4cNXO4Z7SqlJiYX/vSeFI4Y1je/wyNbfoZxV2QLeL/Ayi/8lE9iszivohtPQYCOmBcnWEMo2k5V314+Xn4NyeJiLl6RJN5TQm+/D5o7ae4u5MDhEgLeAVq7gkTrZjO/Xlh9gUNvn/BZqwERZp7gLJ1pU1zszlx42CY2Y1pKXCmVygj00c8DW9awpf3lI/vn3vQ9Fq+8k77tUL8bag7aRCbpQGHUfg32wr5aqG2BQ/Uw45B9NPVRI5z6GzuDcUDsGlTheuirh9gA9Eegrh5OHWEJlmwjYvvcvDRg79xc7oHfnjJ/hVS6TZkfrbZYgnvffo6km9wU+hYxreol4sXVRBIQSDZTEu+kQ+p5e3cF+9tncOH5izAd3cR7A5QXFRI3fhwnwcJzyvnkXT+bdoXZ+ZmPYMjD9V/qp8AveH1C2JNkfkkCx+fkTo4gYqc8Li0d/Vyl1IiMMXz3g6/yf+2/PLJvyZr7qLviO8RbYcBdCLO30N6t2dlgh5BXtAEeKInatabwwdxeOOt9CLfAx6dD0IGCTntHuHw+FBdAeTMsvBiq63Onu1yRaJ8blR5p+5UQkXIR+S8R6RGR3SJy/THOExF5UETa3e0hkaE0QUSWi8hmEel1vy4fy//f3NNKwtiHvbMq6vmdq39J/TQ/gQA0NkJv1MFxYMG0Di4o2khFz16KJUJZBfhDBSQShhXz+jj7bGHm/DBl86qZOTfA/EVeSkuFcNhONGzLaBeSy5nkRqk8kslY09y3i01tLxx5fdWCP2PVF/+ccASqWu3imSQhELUT84W7oeSwHertGLs/4IUFh2B1J5w3F+Y2wqk1UF4BBQEoKYUSv7tauA9KKnInuVEqndJ5B+fvgBh2BvDlwC9E5F1jzNZh560FrgSWYbvOvALsBB4XER/wAvAI8EPg68ALItJojImNpRB1ZdO5d+2T9JeW0VjRTbSokPKSJEmfHwrAO9BDWU0B8Tej7HjlMNNX1BAJ+QiHHQJV4SORZMlSh/YO8PqgwQ8N87wECuJ2mMBgR12lVCZkLNZEEh1H/r1mzt1cufQ+Dn1ok5Hiw+A14I9Bd7G9ezOtBfDakVKOBypmwVm3g7fffkjy10LpAdj3HNTHwH8atHuhp92WeMYSCEx8gnKl8pqYwaUCJvM/ESkCOoAlxpgd7r6ngH3GmHuGnbsReNIY8yP39c3ArcaYM0XkQuDHwEzjFlxE9gBrjTEvjVIGM6Oqjh/+ydP0SwMd/UH2t/oIhYW6YCvnzvyYYGUIU1GN10ny9uYkr2wKkwgWsuqiEBdd4vncHRlj7GAjr9f28cG42wgT5SmVy0RkszHmtEyXYzSZjjUe8ZokCa6c9U1+9/SH8cWF/oDtQNwdht4AdNXBJ6shUgVzOuHS5yHeDSUzYNkaKB5hRgeTdGck9tmvkTY7E3FRpYYalT9OdpxJ122GeUBiMOC43gXOHeHcxe6x1PMWpxx7zxydlb3n7v9c0BGRtdhPaQD9+1v3fHDlnV8cd+EfeGzcl6RDJdCW6UKcRFqf7DY/0wUYo7THmuFxBvjg+b2P8vzeR8dU4KPCyzfGdEk65dvPsdYnu53UOJOuBCcEdA7b14kdKTjauZ1AyH02Pp73wf1kNvjp7K1c+AQ6Vlqf7JaP9cl0GcYo7bFG40zu0Ppkt5MdZ9LVNS0CDH9SXAx0j+HcYiDifpIaz/sopaYejTVKKSB9Cc4OwCsijSn7lgHDO/3h7lt2jPO2AktTRzoAS4/xPkqpqUdjjVIKSFOCY4zpAZ4D7hORIhE5G7gCeGqE0/8V+JaI1IrIDOCPgCfdY+uBBHCHiPhF5HZ3/6/HUIwfnUAVspHWJ7tpfTIgC2JNTnyfxkHrk920PseRllFUYOemAJ4ALsAuWnuPMeYZEVkFvGiMCbnnCfAgcIt76T8B30kZybDC3bcIaAJuNsZsSUsllFJZT2ONUgrSmOAopZRSSqWLzn+plFJKqbyjCY5SSiml8k7OJjiZXtvqZBtHfe4SkQ9EpFtEdonIXcOOfyoifSIScbeXR3qfyTaO+qwTkYGU8kZEpCHleK61z4vD6hITkfdTjmdL+9wuIm+JSL+IPDnKuXeKSLOIdIrIEyLiTzlWLyKvuu3zoYicP+mFTzONNRpr0kljzUmMNcaYnNyAnwDPYifkOgc7CdfiEc77OrAdmAnUAtuA29xjPmA3cCfgB+5wX/uyuD53A6dgJ2mc75b32pTjnwLn51D7rAOePsZ75Fz7jHDdeuDeLGyfq7HrMP09drmCY533FaAFO4NvmVuf76Uc3wR8HwgCa4DDQFWm65eJttdYk/Xto7EmM+2TsViT0YqfwDesCLuY3ryUfU+lfjNS9m/Erh8z+Ppm4A333xcC+3A7W7v79gAXZWt9Rrj2B8DfprzO+A/1ONvneEEnp9sHqMcONZ6TTe0zrIx/NUrQeQa4P+X1aqDZ/fc87NIE4ZTjG3D/qOfDprHmqGs11mRRfYZdp7FmhC1XH1Eda72ZxSOcO9H1ZtJpPPU5wr39vYrPTz72byLSKiIvi8iyES6dbOOtz2UickhEtorIH6Tsz+n2AW4ENhhjdg3bn+n2GY+Rfn+miUiFe2ynMaZ72PF0t89k0liDxpo00lgz5IRjTa4mOBlZ22oSTbQc67Bt+OOUfTdgs/nZwKvA/4hI6Ukp5diNpz7/DiwEqoBbgXtF5LoJvM9kmmg5bmRo4rhB2dA+4zHS7w/YumdL+0wmjTXWOjTWpIPGmiEnHGtyNcHJt/Vmxl0OsTOr3ghcaozpH9xvjHndGNNnjOk1xjyAfU65ahLKfDxjro8xZpsxZr8xJmGM2Qg8Clwz3veZZBNpn3OAGuA/U/dnSfuMx0i/P2Drni3tM5k01misSSeNNUNOONbkaoKTb+vNjKc+iMjvA/cAq40xn43y3gaQUc452cZVn2FSy5uT7eP6GvCcMSYyyntnon3GY6TfnxZjTLt7rEFEwsOO59N6TRprNNakk8aaISceazLd8egEOiz9FNvbvAg4m2P3nL8NO816LTDD/YYMH9nwTWzP+dvJXM/5VXdveQAAAmFJREFUsdbnBqAZWDjCsTr3Wh8QAO4CWoGKLK7PFdge8wKsxHb0+1quto97bhD7aenLWdw+XrcMD2A7MQYA7wjnXeT+vC1y2+nXHD2y4Q3gb9zrryI/R1FprPn8sWz6WdZYo7Fm5P873ZU9id+0cuB5oAfb2/16d/8q7G3hwfMEeAg45G4PcXRP+RXAZqAPeBtYkeX12QUMYG/ZDW6Pu8cWYzvG9WDX4PkVcFqW1+cnblkjwIfAHcPeJ6fax913nRscZdj+bGqfddhPdKnbOjcwRoC6lHO/hR2+2YXtg+FPOVaPHc7Zhx0inTWjNjLws6yxJrvro7EmM/XJWKzRtaiUUkoplXdytQ+OUkoppdQxaYKjlFJKqbyjCY5SSiml8o4mOEoppZTKO5rgKKWUUirvaIKjlFJKqbyjCY5SSiml8o4mOCptRORTEWkRkaKUfbeIyE4RiaRsRkR6Ul5n8/opSqksonFGDdIER6WbFzsdeqo9xpjQ4ObuW5ayb0Oay6iUym0aZ5QmOCrt/hr4toiUZrogSqm8pXFGaYKj0u4t7Hoi385wOZRS+UvjjNIER2XEvcAfikhVpguilMpbGmemOE1wVNoZYz4Afg7ck+myKKXyk8YZpQmOypS/AG4FajNdEKVU3tI4M4VpgqMywhjzMfAscEemy6KUyk8aZ6Y2TXBUJt0HFI16llJKTZzGmSlKjDGZLoNSSiml1Emld3CUUkoplXc0wVFKKaVU3tEERymllFJ5RxMcpZRSSuUdTXCUUkoplXc0wVFKKaVU3tEERymllFJ5RxMcpZRSSuWd/wfdSdEToWDfagAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import spearmanr, pearsonr\n", "\n", "f, ax = plt.subplots(1, 2, figsize=(8, 4))\n", "\n", "plt.sca(ax[0])\n", "\n", "y_pred = l[:, 1]\n", "\n", "r_val, _ = spearmanr(y_pred, lor_prox)\n", "\n", "low_qtl = np.quantile(y_pred, q=0.1)\n", "high_qtl = np.quantile(y_pred, q=0.9)\n", "\n", "plt.scatter(y_1_prox, y_2_prox, cmap='bwr', c=y_pred, vmin=low_qtl, vmax=high_qtl, s=15, alpha=0.5)\n", "\n", "plt.plot([0, 1], [0, 1], color='black', linewidth=3, linestyle='--')\n", "\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 1)\n", "\n", "plt.xticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "\n", "plt.xlabel(cell_type_1, fontsize=12)\n", "plt.ylabel(cell_type_2, fontsize=12)\n", "\n", "plt.title(\"Measured PPUI (color r = \" + str(round(r_val, 3)) + \")\", fontsize=12)\n", "\n", "\n", "plt.sca(ax[1])\n", "\n", "y_pred = s[:, 0]\n", "\n", "r_val, _ = spearmanr(y_pred, lor_prox)\n", "\n", "low_qtl = np.quantile(y_pred, q=0.1)\n", "high_qtl = np.quantile(y_pred, q=0.9)\n", "\n", "plt.scatter(y_1_prox, y_2_prox, cmap='cool', c=y_pred, vmin=low_qtl, vmax=high_qtl, s=15, alpha=0.5)\n", "\n", "plt.plot([0, 1], [0, 1], color='black', linewidth=3, linestyle='--')\n", "\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 1)\n", "\n", "plt.xticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "\n", "plt.xlabel(cell_type_1, fontsize=12)\n", "plt.ylabel(cell_type_2, fontsize=12)\n", "\n", "plt.title(\"Measured PPUI (color r = \" + str(round(r_val, 3)) + \")\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Intronic sites only\n", "\n", "from scipy.stats import spearmanr, pearsonr\n", "\n", "keep_index = np.nonzero(intron_mask[:, 0] == 1)[0]\n", "\n", "f, ax = plt.subplots(1, 2, figsize=(8, 4))\n", "\n", "plt.sca(ax[0])\n", "\n", "y_pred = l[:, 1]\n", "\n", "r_val, _ = spearmanr(y_pred[keep_index], lor_prox[keep_index])\n", "\n", "low_qtl = np.quantile(y_pred, q=0.1)\n", "high_qtl = np.quantile(y_pred, q=0.9)\n", "\n", "plt.scatter(y_1_prox[keep_index], y_2_prox[keep_index], cmap='bwr', c=y_pred[keep_index], vmin=low_qtl, vmax=high_qtl, s=15, alpha=0.5)\n", "\n", "plt.plot([0, 1], [0, 1], color='black', linewidth=3, linestyle='--')\n", "\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 1)\n", "\n", "plt.xticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "\n", "plt.xlabel(cell_type_1, fontsize=12)\n", "plt.ylabel(cell_type_2, fontsize=12)\n", "\n", "plt.title(\"Measured PPUI (color r = \" + str(round(r_val, 3)) + \")\", fontsize=12)\n", "\n", "\n", "plt.sca(ax[1])\n", "\n", "y_pred = s[:, 0]\n", "\n", "r_val, _ = spearmanr(y_pred[keep_index], lor_prox[keep_index])\n", "\n", "low_qtl = np.quantile(y_pred, q=0.1)\n", "high_qtl = np.quantile(y_pred, q=0.9)\n", "\n", "plt.scatter(y_1_prox[keep_index], y_2_prox[keep_index], cmap='cool', c=y_pred[keep_index], vmin=low_qtl, vmax=high_qtl, s=15, alpha=0.5)\n", "\n", "plt.plot([0, 1], [0, 1], color='black', linewidth=3, linestyle='--')\n", "\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 1)\n", "\n", "plt.xticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "\n", "plt.xlabel(cell_type_1, fontsize=12)\n", "plt.ylabel(cell_type_2, fontsize=12)\n", "\n", "plt.title(\"Measured PPUI (color r = \" + str(round(r_val, 3)) + \")\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 0.554886\n", " Iterations: 4\n", " Function evaluations: 40\n", " Gradient evaluations: 8\n", "[ 0.05535569 0.17501348 -1.10059868]\n", "Optimization terminated successfully.\n", " Current function value: 0.562686\n", " Iterations: 3\n", " Function evaluations: 30\n", " Gradient evaluations: 6\n", "[ 0. 0.18985945 -1.29917978]\n", "- Spearman r = 0.399\n", "- Spearman r (baseline) = 0.382\n", "- n = 6644\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "(y_thresh = 0.693)\n", "AUC (baseline) = 0.741\n", "AUC = 0.75\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AP (baseline) = 0.535\n", "AP = 0.537\n", "APR (baseline) = 1.98\n", "APR = 1.988\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "(y_thresh = 1.099)\n", "AUC (baseline) = 0.77\n", "AUC = 0.782\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AP (baseline) = 0.417\n", "AP = 0.417\n", "APR (baseline) = 2.746\n", "APR = 2.751\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Fit regression model (first pas only)\n", "\n", "def lor_model_predict(s, m, l, w_pas, w_len, w_bias) :\n", " \n", " score = w_pas * s[:, 0] + w_len * l[:, 1] + w_bias\n", " \n", " return score\n", "\n", "def lor_model_mse(w_bundle, s, m, l, y_true) :\n", " \n", " w_pas = w_bundle[0]\n", " w_len = w_bundle[1]\n", " w_bias = w_bundle[2]\n", " \n", " y_pred = lor_model_predict(s, m, l, w_pas, w_len, w_bias)\n", " \n", " mse = (y_pred - y_true)**2\n", " \n", " return np.mean(mse)\n", "\n", "y_true = lor_prox\n", "\n", "w0 = np.zeros(3)\n", "\n", "res = minimize(lor_model_mse, w0, args=(s, m, l, y_true), method='BFGS', options={'disp': True})\n", "\n", "w_pas = res.x[0]\n", "w_len = res.x[1]\n", "w_bias = res.x[2]\n", "\n", "print(res.x)\n", "\n", "y_pred = lor_model_predict(s, m, l, w_pas, w_len, w_bias)\n", "\n", "#Baseline\n", "w0 = np.zeros(3)\n", "\n", "res = minimize(lor_model_mse, w0, args=(np.zeros(s.shape), m, l, y_true), method='BFGS', options={'disp': True})\n", "\n", "w_pas_bl = res.x[0]\n", "w_len_bl = res.x[1]\n", "w_bias_bl = res.x[2]\n", "\n", "print(res.x)\n", "\n", "y_pred_bl = lor_model_predict(s, m, l, w_pas_bl, w_len_bl, w_bias_bl)\n", "\n", "spearman_r_val, _ = spearmanr(y_pred, y_true)\n", "spearman_r_val_bl, _ = spearmanr(y_pred_bl, y_true)\n", "\n", "print(\"- Spearman r = \" + str(round(spearman_r_val, 3)))\n", "print(\"- Spearman r (baseline) = \" + str(round(spearman_r_val_bl, 3)))\n", "print(\"- n = \" + str(y_true.shape[0]))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.scatter(y_pred, y_true, c='black', s=15, alpha=0.1)\n", "\n", "#plt.xlim(-3., 3.)\n", "#plt.ylim(-3., 3.)\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.xlabel(\"Predicted LOR\", fontsize=12)\n", "plt.ylabel(\"Measured LOR\", fontsize=12)\n", "\n", "plt.title(\"Pred. vs. Meas. LOR\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "low_qtl = np.quantile(y_pred, q=0.1)\n", "high_qtl = np.quantile(y_pred, q=0.9)\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.scatter(y_1_prox, y_2_prox, cmap='bwr', c=y_pred, vmin=low_qtl, vmax=high_qtl, s=15, alpha=0.5)\n", "\n", "plt.plot([0, 1], [0, 1], color='black', linewidth=3, linestyle='--')\n", "\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 1)\n", "\n", "plt.xticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "\n", "plt.xlabel(cell_type_1, fontsize=12)\n", "plt.ylabel(cell_type_2, fontsize=12)\n", "\n", "plt.title(\"Measured PPUI\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "y_thresh = np.log(2.)\n", "\n", "print(\"(y_thresh = \" + str(round(y_thresh, 3)) + \")\")\n", "\n", "fpr, tpr, _ = roc_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "auc = roc_auc_score(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "\n", "fpr_bl, tpr_bl, _ = roc_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "auc_bl = roc_auc_score(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "\n", "print(\"AUC (baseline) = \" + str(round(auc_bl, 3)))\n", "print(\"AUC = \" + str(round(auc, 3)))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "l1 = plt.plot(fpr_bl, tpr_bl, color='green', linewidth=3, label='Distance')\n", "l2 = plt.plot(fpr, tpr, color='magenta', linewidth=3, label='Dist + A2')\n", "\n", "plt.xlim(0., 1.)\n", "plt.ylim(0., 1.)\n", "\n", "plt.xticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "\n", "plt.xlabel(\"False Positive Rate\", fontsize=12)\n", "plt.ylabel(\"True Positive Rate\", fontsize=12)\n", "\n", "plt.legend(handles=[l1[0], l2[0]], fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "prec, rec, _ = precision_recall_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "ap = average_precision_score(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "\n", "prec_bl, rec_bl, _ = precision_recall_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "ap_bl = average_precision_score(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "\n", "print(\"AP (baseline) = \" + str(round(ap_bl, 3)))\n", "print(\"AP = \" + str(round(ap, 3)))\n", "\n", "print(\"APR (baseline) = \" + str(round(ap_bl / (np.sum(y_true > y_thresh) / y_true.shape[0]), 3)))\n", "print(\"APR = \" + str(round(ap / (np.sum(y_true > y_thresh) / y_true.shape[0]), 3)))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "l1 = plt.plot(prec_bl, rec_bl, color='green', linewidth=3, label='Distance')\n", "l2 = plt.plot(prec, rec, color='magenta', linewidth=3, label='Dist + A2')\n", "\n", "plt.xlim(0., 1.)\n", "plt.ylim(0., 1.)\n", "\n", "plt.xticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "\n", "plt.xlabel(\"Precision\", fontsize=12)\n", "plt.ylabel(\"Recall\", fontsize=12)\n", "\n", "plt.legend(handles=[l1[0], l2[0]], fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "y_thresh = np.log(3.)\n", "\n", "print(\"(y_thresh = \" + str(round(y_thresh, 3)) + \")\")\n", "\n", "fpr, tpr, _ = roc_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "auc = roc_auc_score(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "\n", "fpr_bl, tpr_bl, _ = roc_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "auc_bl = roc_auc_score(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "\n", "print(\"AUC (baseline) = \" + str(round(auc_bl, 3)))\n", "print(\"AUC = \" + str(round(auc, 3)))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "l1 = plt.plot(fpr_bl, tpr_bl, color='green', linewidth=3, label='Distance')\n", "l2 = plt.plot(fpr, tpr, color='magenta', linewidth=3, label='Dist + A2')\n", "\n", "plt.xlim(0., 1.)\n", "plt.ylim(0., 1.)\n", "\n", "plt.xticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "\n", "plt.xlabel(\"False Positive Rate\", fontsize=12)\n", "plt.ylabel(\"True Positive Rate\", fontsize=12)\n", "\n", "plt.legend(handles=[l1[0], l2[0]], fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "prec, rec, _ = precision_recall_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "ap = average_precision_score(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "\n", "prec_bl, rec_bl, _ = precision_recall_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "ap_bl = average_precision_score(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "\n", "print(\"AP (baseline) = \" + str(round(ap_bl, 3)))\n", "print(\"AP = \" + str(round(ap, 3)))\n", "\n", "print(\"APR (baseline) = \" + str(round(ap_bl / (np.sum(y_true > y_thresh) / y_true.shape[0]), 3)))\n", "print(\"APR = \" + str(round(ap / (np.sum(y_true > y_thresh) / y_true.shape[0]), 3)))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "l1 = plt.plot(prec_bl, rec_bl, color='green', linewidth=3, label='Distance')\n", "l2 = plt.plot(prec, rec, color='magenta', linewidth=3, label='Dist + A2')\n", "\n", "plt.xlim(0., 1.)\n", "plt.ylim(0., 1.)\n", "\n", "plt.xticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "\n", "plt.xlabel(\"Precision\", fontsize=12)\n", "plt.ylabel(\"Recall\", fontsize=12)\n", "\n", "plt.legend(handles=[l1[0], l2[0]], fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Summarize predictive performance for different perturbations\n", "\n", "import matplotlib\n", "\n", "perturb_genes = ['PAF1', 'CDC73', 'CTR9', 'LEO1', 'PABPN1', 'CPSF3L', 'SCAF8']\n", "\n", "rs = [0.399, 0.265, 0.363, 0.182, 0.185, 0.200, 0.220]\n", "aprs_2 = [1.988, 1.599, 2.059, 2.602, 1.491, 1.366, 3.779]\n", "aprs_3 = [2.751, 1.893, 2.573, 5.400, 1.609, 1.443, 6.146]\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.bar(np.arange(len(perturb_genes)), rs, color='lightcoral', edgecolor='black', linewidth=1)\n", "\n", "plt.xticks(np.arange(len(perturb_genes)), perturb_genes, fontsize=12, rotation=30)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.ylabel(\"Spearman r\", fontsize=12)\n", "\n", "plt.ylim(0.15, 0.45)\n", "\n", "plt.gca().yaxis.set_major_formatter(matplotlib.ticker.FormatStrFormatter('%.2f'))\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.bar(np.arange(len(perturb_genes)), aprs_2, color='lightgreen', edgecolor='black', linewidth=1)\n", "\n", "plt.xticks(np.arange(len(perturb_genes)), perturb_genes, fontsize=12, rotation=30)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.ylabel(\"AP Ratio (OR > 2?)\", fontsize=12)\n", "\n", "plt.ylim(1.0, 4.0)\n", "\n", "plt.gca().yaxis.set_major_formatter(matplotlib.ticker.FormatStrFormatter('%.2f'))\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.bar(np.arange(len(perturb_genes)), aprs_3, color='lightgreen', edgecolor='black', linewidth=1)\n", "\n", "plt.xticks(np.arange(len(perturb_genes)), perturb_genes, fontsize=12, rotation=30)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.ylabel(\"AP Ratio (OR > 3?)\", fontsize=12)\n", "\n", "plt.ylim(1.0, 6.5)\n", "\n", "plt.gca().yaxis.set_major_formatter(matplotlib.ticker.FormatStrFormatter('%.2f'))\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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2b3oVvuuPqML35sBjj8IBg+Hqj0NR8O1bW2HlSmhs7FsbHcdx9nciiVJXhVdVtTO95mSOhUvhjauAJnitEB5/HP70cxOmcPKsrz7rOI7Tt0QN37UDbYmbiLSIyGoRmSkiFd1eoY/paALCGuMCdavg3mftY3GxJTk0NPSRcY7jOA4QXZS+CjwNnAkcCvw98BRWCuhabHnymzNhYNpQ4LDg/aFAKywOlhwsLIwlOrS19ZF9juM4TuQxpeuAI1U1LFm6XETmA6+r6oEisgh4PSMWpgsh9m07gSKYMik4JFbVoa7OturqPrLRcRxnPyeqp1QFlCXsK8NWgQXYhFUAz1nyS7GgI0AjVE6AS06NHa8M1sB9770sG+Y4juN8QFRRmg08ISJXi8hZInIV8DhwV3D8TGBZJgxMF9MOgSv/IfiwPZbkEDJyJAwd6hl4juM4fUnU8N0/ASuAzwGjsPp3twC/CY4/AzybbuPSiQjM+jLc8U1gF+xohhFxqRlHHAFjxsQ8JsdxHCf7RPKUVLVTVW9V1dNV9VBVPS343BEcb1bVplTX6WsK8qFojL1fkGQh9/Jy2LQpuzY5juM4MSJPnhWRM4HpxC3IB6Cq30u3UZlkUA1sXgnvvAdnHbLnscJCePddOPZY95gcx3H6gkiekoj8ArgHOAoYG7eNyZxpmeHo8fZanCSh4cUX4cknreSQ4ziOk32iekoXAdNVtd/nph03AR4Btib5JoMHWzmiFSvg5JOzbprjOM5+T9Tsu+3Arkwaki0OOMBe1ycZUxo61CbRLl+eXZscx3EcI6qnNBO4V0T+G9gcf0BVV6XdqgwytsZeV6+HToU8iR0bMsRKDq1bZ0Vai4r6xkbHcZz9laie0q+AjwMvAu/GbSuidiQi1SLygIg0iMhaEbm4i3YiIjeKyPZg+7GISNxxDa5RH2y3RbUBYOAAkIHQ0QzLt+15rKDAhKmlBVav7slVHcdxnHQQNSU8r4stvwd93QK0AsOBS4BficjkJO2uAc4DpgFTMTH8UkKbaapaEWxX9cAGAEpG2+vCJONKQ4fanKYVkeXWcRzHSRdZWeRPRMqB84HrVbVeVV8AHgIuTdL8cmCmqq5X1Q1Y6PCKdNozMBCl5d2I0sqV6ezRcRzHiUKXY0oi8piqnhW8n4fV2f4QqnpKhH4mAR2qGp9CsBD4SJK2k4Nj8e0SParngzWeXgKuU9U1XXyHazDPi5qamg/2jxhlJSnWJUl2GDsWzjsPRo3q/gs5juM46ae7RIfZce97NG6ThAqgNmFfLZBsimpi21qgQkREVRUTspexgrA/BB4Rkemq2p54IVWdBcwCmDFjxgeiesBIeBPYlsRTKi6GESNg2zbo7LR1lhzHcZzs0KUoqeqcuPd3ddUuIvVYpfF4qoC6CG2rgPpAkFDV54P9rSLydWA3tkLSoqjGHDLSXuu6mHWVnw8dHbYSbVWi1Y7jOE7GiFrR4SIROTR4f7CIPCciT4vIIanODVgOFIjIxLh904AlSdouCY6lahei2GpJkZk8zM7o2AStSRb127ABnn4a/vKXnlzVcRzH2VuiBqd+COwI3v8P8BrwPPDLKCeragNwP3CDiJSLyInAucDdSZrPBq4TkdEiMgr4JnAngIhMFpHpIpIfLL8+E9gAvBPxewBQVggjRwCdsPH95G1qa+Htt3tyVcdxHGdviTp5dqiqbhaREuAk4AJsybxt3Z+2B18BfgtswSpEXKuqS0TkZOBRVQ0Lvf4amEAsHHdbsA8snfxXWM29BizR4eOq2uNFzMeOhY0bbVG/sMpDyJAhVpx1zRoL4+X3JPHdcRzH6TVRRWmriBwEHA68pqotIlJGD8JmqroDm3+UuH8ecZXHg7GjbwdbYtungYOj9tkdY8bAq6/C8vWmsvEUF9uS6Bs2mGiNG5eOHh3HcZxURA3f/QB4HbgduCnYdzp7pm73K2qD+ubPdJHsMGyYzVfyOniO4zjZI2pFhzuBkcAYVX0i2P0KthJtv+TAYNrSziRzlcBCeGDrKzmO4zjZIVL4Lpio2hz3Hno2npRzTAs8pcYuPCWvGO44jpN9oo4ptdNFRQegX6YBTBoKFIPuhE31MKJiz+ODBsHUqTa+5JNoHcdxskPUR+14LCMu3E4EHiYo4dMfKciDoqAG3oIkIby8PDjhBCs31NSUXdscx3H2V6KOKa1N2F7GCqf+c2bNyyxVY+31nRTr6e7enXlbHMdxnL2rEl4FDE2XIX3BiECUVnchSq2ttkLtU09lzybHcZz9maiJDnez55hSGXAKcE8mjMoWx4+BxUBlF6LU3g4LFsA778All1iKuOM4jpM5oiY6JCZGNwC3quqTabYnq0wPPKUtXaSFl5XBgAGwZQts2gQjR2bPNsdxnP2RSKKkqv+RaUP6gjFBWvj69aCa3BMaNsxEaflyFyXHcZxM0+WYkoh8MsoForbLRaqqoGQANDfDu13MuhoajJr58uiO4ziZp7tEh8+JyGIR+RcROUFEBotIUfB6vIh8R0QWAxdmy9hMkBeE8N7oYlxpyBCbRPvOO+ZNOY7jOJmjS1FS1YuBi4DR2BITW4EmrMr3XcAI4LOq+vks2JkxBgUhvOXdiFJVlRVmXbAge3Y5juPsj3Q7pqSqi4B/BAiqgg8EdqlqYxZsywqjx9qCTOu6SHbIz4ejjoL5822NJcdxHCdzRM2+IxCifUaMQiaMhVeBbd1MoJ04EcaPt4SH5mYoKcmaeY7jOPsV+31Ft8lB+K6uG1HKy4OiIhtTWrrUx5Ycx3EyxX4vStNHAwIdm6Axxfq1JSVw553w5z9nwzLHcZz9j0iiFLdcxT5HRREUjQA6YdX73bdta7Ml1OfOhV27smKe4zjOfkVKsRGRfKBBRIqzYE+fEK6ttCtFYdYhQ+Cww2D7dnjwwczb5TiOs7+RUpRUtQNYDgzOvDl9w9hgrtL6LjLw4jnqKAvjPfUUbNiQWbscx3H2N6KG5e4FHhGRy0XkdBE5LdyidiQi1SLygIg0iMhaEbm4i3YiIjeKyPZg+7HIhwsABbaoiFwV1YauCMsNLUvhKQFUVMARR0BDA/zhD5704DiOk06ipoRfG7x+P2G/Yov+ReEWoBUYDkwH5orIQlVdktDuGuA8YFpw/SeAVcCtYQMRGQT8C5B4bq9oCBb7e34l3PEkXHIqFHVzZ6ZOhbffhldftWy8Qw9NhxWO4zhO1EX+xnexRRIkESkHzgeuV9V6VX0BeAi4NEnzy4GZqrpeVTcAM4ErEtr8N/AzoIuKddFpbYc5v7f3nZtg9k1wwVdtf1cUF8OMGba0xaJFe2uB4ziOE5KtrLpJQIeqLo/btxCYnKTt5OBY0nYicgwwgzjPaW+491loWgwUAbVAIdStsv3dccghcOGFVvGhtTUdljiO4zjZEqUK7JEfTy1QGaFtLVARjDXlA78Evqqqnak6FZFrRGS+iMzfunVr0jaLlmNBxSCER419Xrw8afMPyM+3CuLt7basheM4jrP3ZEuU6rHl0+OpAuoitK0C6lVVga8Ab6nq36J0qqqzVHWGqs4YOjT5yu2HT8K8pLDHPPs8ZVKUHmDwYHj8cXjuuWjtHcdxnK7JligtBwpEZGLcvmkkT1RYEhxL1u504FMisklENgEnADNF5Be9NeySU6FyArHRqTVQfqDtj8Lu3fDKKzBnjhdsdRzH2Vt6JEoiMkxEJsRvUc5T1QbgfuAGESkXkROBc7ElMRKZDVwnIqNFZBTwTeDO4NgVwKFY9t50YD7wH8B3e/I94ikqgD/9HC67AqQGaIBLL+0++y6e6mqbULt1KzzwQG+tcBzHcSB6maGzRGQDsBF4N27ryXqsXwFKsfWY7gOuVdUlInKyiNTHtfs18DCwCFgMzA32oaq7VHVTuGGjQbtVda98lKICuPIMOOdU+7z+pZ6dP2MGlJbahNr3Isx1chzHcZIT1VO6BfgBUKGqeXFbftSOVHWHqp6nquWqWqOqc4L981S1Iq6dquq3VbU62L4djCclu+apqnpbVBtSce7J9vrii9DREf28igo48kibUPv73/uEWsdxnN4SVZQGAb9W1aZMGtPXHHggjBoFO3fC6z2clnv44TBokC0G+NZbmbHPcRxnXyeqKN0OXJlJQ3IBERgXeEu3zevZuUVFcMwxVkl87tz02+Y4jrM/EFWUjgN+JSLLReT5+C2TxvUFx55kryvnQWcPw3ATJ8JHPgLjxkHTPu1TOo7jZIaote9uC7Z9nrMPg5uroXMzPL0Czog4XwlshdqpU23Z9HfesXEmx3EcJzqRRElV78q0IblCQR4ccBKseQj+PK9nohQyZAgsXmzJEkcfnX4bHcdx9lUiz1MSkeEi8gkRuVJEvhBumTSur/joKfa6rIfjSiEdHfD00/DLX8KqVemzy3EcZ18n6jyl84CVwA3YnKGvBq/Jqnz3ez49DaiEtrXw8rqen19YaAVba2vhpz+FZ5+FzpSV+hzHcZyontIPgStV9QigIXi9Bng9Y5b1ISUFMPJ4e/9gL72lo4+2bLz16+Gee+C3v7WSRI7jOE7XRBWlGlX9Y8K+u4DL0mxPznBBkBq+q5eilJ8Pxx0Hn/oUtLRYtYeZM72iuOM4TndEFaUtIjI8eL9GRI4HDgQiV3Tob5xzNJSUwLJlsHlz768zZgxcfDGMHm3JD0uXeijPcRynK6KK0m+AYAYPPwGewRbf+2UmjMoFiost/AYw74W9u1ZpKZxzDnziExbCmzfP5zE5juMkI+py6Deq6v8F72djK8keparXZ9K4vuawIIR3Vy9DePGI2KTaMWOsovh993nlB8dxnER6tZ6Sqq5T1XfSbUyucepxQAHUL4Jrfwl3PAmt7Xt/3aoqeOYZK966cGHq9o7jOPsLUVPCp4nI0yKyQ0Rag61NRFozbWBfMqgE8wk7bSxo9k1wwVf3XpiKiuCkk6yq+J13elae4zhOSFRP6T7gReAUbJG9Q4FDgtd9lnufBQqDD81AK9StCvbvJZMmwcEHw9q1ljLuy104juNEF6URwPdUdbGqrozfMmlcX7NoObAaKMKWM5wKtMLiNKR1i8DJJ8PAgfDCC7Y5juPs70QVpbuAizNpSC5y+CTMQ5oY7FgMHApTelEPLxmlpXDqqdDaCnPm7F3queM4zr5AVFH6EfADEVkSjC19sGXSuL7mklOhcgLmJU0DOu39CQekr4+aGpg+HbZvtzlRjuM4+zNRl674ExbIegDYb2bYFBXAn35uY0hvLYNtHbB+Mfz79VZstbo6Pf0ce6yNMW3davOXSkvTc13HcZz+RlRRmg4MVtV9OtsuGUUFcOUZwBlWLugb37C1kq67Hn7xE6go2vs+Cgth2DATpfnz4YQTrEyR4zjO/kbU8N084LBMGtIfKC6GH/4QKofD2rfhizfC7U/AdWmawzR4sM1f+v73rZCr4zjO/kZUUVoN/FVEfi0iN8RvUTsSkWoReUBEGkRkrYgkTZwQ40YR2R5sPxYRCY4NEZEXg/27RORvInJiVBvSQXU1XPefQClseRru+Qu8+cf0zWFqaIAlS+Dmm+Htt9NisuM4Tr8hqiiVAXOx5OixcduYHvR1C9AKDAcuAX4lIpOTtLsGOA9LLZgKfBz4UnCsHvgCMBQYBNwIPCwiUcOQaeHUA2HqJdjdW4D5kGmYw5SXB2eeaYkPq1bBL35hqeI+h8lxnP2FlA9zEckD7gZeVNWW3nQiIuXA+cAUVa0HXhCRh7BFAr+T0PxyYKaqrg/OnQlcDdyqqs3Asji7OjBxqga29Ma23pJfC0wB3gLWA+VAQzCH6Yy9uG6+zV+qqoLnn4e77oJt26yYq48zOY6zr5PSU1LVTuDPvRWkgElAh6rGTztdCCTzlCYHx7psJyJvYTOIHgJuU9WsChIEc5jeASYAu7GFPIrSM4dJxLylj3/cVq998EHbHMdx9nWihu+eF5Hj9qKfCqA2YV8tUBmhbS1QEY4rAajqVKAKm9DbZS0EEblGROaLyPytW7f21vakXHIqVB6I+Wp5wGIoHWf708WECXDBBeYhtbRAXZ3tb2z0kJ7jOPsmUcdi1gKPisifgfeADx6Jqvq9COfXYyISTxVQF6FtFVCvuudjOAjl3Sci74iwcEwKAAAgAElEQVTIAlX9UL1tVZ0FzAKYMWNGWh/j8XOYHnwMdr8OE4qgMM0htmHD4JJLrGjrX/9qy6zPmgUVFTB8uB0fNgxGjLBlMWLS7TiO0/+IKkqlQBhA6klyQ8hyoEBEJqrqimDfNGBJkrZLgmOvpmgXUogF0SItArFtm23pmPgazmH6zHFw2WWwZDE88YQlK6STvDyrkdfQYMK0ciW0tdkk29JSKCuzyuNjx8KnP22r3DqO4/RHIomSql65N52oaoOI3A/cICJXYZNxzwVOSNJ8NnCdiPwF88i+CfwcIAghFmCClQ98DcvmeyWKHStX2thMfT0ceGD6EgcqKuCaa+DGG+HmW2HaCTC8Ij3Xjqe8HA46yGyvr4ctW6xe3o4dsHEjrFsHxx9vnlNhYerrdUVnp4leUZF7Xo7jZJcepVKLSCUwBIgf31kV8fSvAL/FsuS2A9eq6hIRORl4VFXDx/ivMc9nUfD5tmAfQDHws+B4W9DmHFV9P4oB48bZ9vLLNhdo6tSIlkfgzDPh1kegdgn8213wm39I37UTEYHKStsOPND2dXTAhg2wYoUth3H44fDGG/Z62GE2BlVfb4kTDQ1wyCGx6z3yiIlaU5Ntzc0mTKNGWbKFe16O42QL0Qgj5iJyGHAvFkpTTJQUQFX7RaLyjBkzdP78+SxdCrfcYiG8K66wKg3p4qkV8MMv2/v/+A2cMiF91+4Jra2waBG88oqNO40YAe3tJlzh6z/+o71vaIDf/c4EraPDPKSODrtOXh6ccw58/vPuMTnO/oqIvK6qM7LVX1RP6ZfAM8DfYdUdxgH/DbyUGbMyx8EHwxFH2NjPq6/anKB0cfpEuOcTsObP8OOfwkk3Q14fPMyLiiylvLjYhGnzZhOVwsLYGNQzz1i7ggIYP94y/crKbAsLwr7xhgnXc8/BkUea91RVZWLlOI6TCaJ6SjuBYaraJiK7VHVgMCF2saqOz7iVaSD0lMBCVTNnwpo1lqBQlZgXuBe8vxs+fxloLQw5F86eYmniRVmtORGjo8PCdqWlJkK9YccO86gWLbLw57nnekjPcfYXctVTasay3NqAbSJSA+wEBmfKsEwyciSceKJV5X7hBTj77PRde0gZ5E+B9hdh2/Mw+xV44P8sfbwvhCk/HwYM2LtrVFebl7Rpk41XvfuueZxh0sXYsV0njTQ324+AjRstIeTwwz0U6DhO10R9TM4DLgTuxNZWehRoAfrtIn9nnGGD+o2N9sBNV0jq3meh/TUswLkGEKjbAj+5G759BbR1WJtFy60qRF96UT1hyBC49FJ47TV48014/317ragw0fvWt8wba2mB11+34++/b4sXtrfb/vZ2uPBCW5rDcRwnGZHCd3ucYDXnLsaqMcxW1YZMGJZu4sN38bz2moXxhg5NTz/X/dKqhjMEu0OrY8eqDoTGkdC+AJsiXGQr2/aVF9Vb2tvhvfesaOyGDbbvoovggANMoP73f03s6+tNjMrLbZ5VXZ1lKZ50kqWtO46T++Rq+A74QJCGq+o9GbIn60yebOGoHTvSM6H28EnwZhGwLdgA8qCoFHavBFZixVunAYtilcWv3IsirtkmTI4YH4wmtrVZxt+bb1rqeXExDBpkYdIRI/bMcGxosCSTceNM1M46K30/CBzH6f9EClqJyCARmYONLb0b7PukiPwwk8Zlg85OWLoU7r/fHq57yyWnmvdDmFRQBJWT4Hd/gMGfxMJ6DVj9iUOAtqCyeD+msNC8oTD9/LTT4LjjzHNKTLkvLzexeuQRmDsXbroJ5s0zsWputr9BZ2fffA/HcfqeqJ7Sr7DEhgOAcOm5vwEzgX/LgF1Zo7zcHqTLltlYyHF7U3aWPWviLV5uVcPDcaNzDofZj2EVxTdid3IKHHLQ3n6L/kVeHvzd31k24KJFMHs2PPaY7ReBY4+15BMRS2e/777YZOGKitj7qiqr99fbrELHcXKPqKJ0OjAqSAkPJ81uFZF+PzIgYhNEly+3eTmTJ9sDb28Ia+Ilrqt0yamWiVe3ChgFbAYWw/yR8MUz9q/5P0VFJkwTJ8Kzz1ooTzVW4qiuLiZKL79s7QsL7bWoyLL98vPh2mstjCgC77xjY1gjRuyZ5q9qIcfQa1P1DEDHyVWizlN6FzhZVTeKyA5VrQ7Swv+qqoekOj8X6CrRIeQPf4CHH4bBg20eTqYeWq3tMS+qYAjMvwM6m80z+OY39y9hSoWqJVXs3m0itXu3JU/U18dKIp1yiglOdTW8+CLs2hUTsPi/4fTptlAi2PjhbbeZ11VebhOGy8ttGzPGJhKns9KH4/RncjXR4Tbg/0Tku0CeiBwP/Bdwa8YsyzJnnw1vv23hpBUrYFIaFutLRqIXtWASfOc78Je/gObB4KmwZEX/ShfPFGEVisGDbeuKjg7zkIqKTMg2b7bP4TXAvK+2Nju+bRssWGBiVlgYey0sNDG6+mo49FA7r7bWRCsscNvWZsK3c6clc4RJGs3Ndt1hwzyc6Dh7Q1RPSYCvA9dg40rrsCKpP01c5yhXSeUpgT2oZs2yB87ll0NJSXZse/11+Nd/tQw2pmFJEP00Xbw/oGr3ur4+lrre0GDe2NatlrJeUQE1NeZ9bd1qyRn19dYmrCE4YwYcdVSsYvtjj5moDR1qSR/Dh1soOD8fpk2LCeSGDXZ+ZaWl0EepVq9qnqGqeXSOky1y0lMKhOfmYNtnmTbNauFt2WK/iLMlSkcdBVMvhfmzMUE6HFjfP9PF+wMiJh7FxV17YK2tNlVg0SLzgFassNBqa6v9u6iosHHItjYTlffes4nCu3fb/rCOYHGx9TdihJ2flwe//715c3l5sfT5cDvooJiXtm4dPP+8eWa1tdZ3R4dNZK6psTlfFRlYIsVx+pLIv8FF5DTgImyI/n3gd6r6VKYM6wtEbBLotm3w+OP2izRbYzwdu7EFOVZiC3IUAIfAC8tMlMKxqP5WCaK/UlRkD//Pfc48lK1bTWQGDEi+VtXQoVa0tqMjtr7V1q0W1lO1ZI6QjRtNvMKKIvn5Jk4lJbYe1oABds6KFSZKLS2BF40lgixfDosX25Ikw4ZZUscLL9g129tjW+jRTZ9uRYjBbHr1Vesr7LOqyvocOLDrsbT4pU927455ko6TbqKG764DvgPcgS2NXgNcCfxYVWdm1MI0ESV8F88bb1g4L1spx3c8CbNvAoYBA4B3gGC+zsjjYNf70LQRqz7oob19ho4Oe9Bv325h47IyE8MwyaO21gRj0CD7kaRqwrJ5855VMZ580sQyzGAMXzs7bd2wI46wf8fvvw9PPWXjaPn5Me+toMC2666LTSL/619h/XoToVDwQqE79FA47zwrLVVfDw88YDYOHBj7/xKGK486KlZ5fudO66+qqvtkoqYm8z43b7bvEoZDBwxIfxJSZ6fd54EDPSszGTkZvsNWfz1NVReHO0TkbuAJbK7SPoeI/ec9+GDL8Mo0e6SLrwdGQd5o6FwIG1+Oa1gMtHpob18hP99EoKtqImPH7vlZJPaADmlvN9FpaDBhycszgcrPt88VFSYcnZ3mmdXUxLyv1taYx9bUZEIUzgF7+WULIYbt8vNjS59s2WLRhM5Oiyy88krM80rMfKysjH2/J54wD7Cy0r7DsGG2lZSYKBxwgLVbswbuvtv6bWuz71FUZHaNGAHnnx9L+1+40EKcLS3mmYbfrbDQCgYfdZS1a2qyxT1VzZvdsSP2Y6CtzaYXFBaaLc8/bwWIQ/uGDbPv39Rkto8cadfcvt3ahoLd0WH3JHx/7rn2IwPsB0FDQ8wrFbG+d+yw7zYhWH+tuRluvTWWFRqGgsNlZQ45JBa2XbDApkI0N5sNJSWxdgMH7llncssW+xvFJ+50haptfZEN3JPf2e8mfF5FsNDfvsioUbYtXGiZeCNGZLa/ribdvl8P3/kubA6nLLdgtdnHwPzl1qY3Yb3uwoEeKuxfFBTY/LooVFV1HXYLH0RtbeY5hBU6qqrsAdfVGOvAgfag3rkzNvYlYtcCe3AWF9vnpUst0aOlJfaALCuzh/KkSXDMMeYJvveeXW/gQHuA1taaSLS02AP3sMPMvtJSE8eNG00M4sVBFaZMiY0f7txpC1qKWNvmZtuamuwePvRQrKL+00+bUIciHK491tlp1zzjDLtPGzaYkIdeaXgPQ0+1stJ+WFRWmnAvXRrzUvPzY/PyxoyBj33MxHXtWmsbeq/x2aH5+fCZz9jSMa2tFoqdPz/mwYYZqwUFFlIeOzZ2/i9+Ye3CscxQ8EQsueeww+y7v/66VVyZPNnEP9tEDd9dDZwKfB/7HT8WuB54DlviHABVzdkCMT0N34H9w7z3Xnt/8cXRsqQywR1PwuwfY6G74dikW4AikMNBt2MVyRPCel2JS2s7XPDVwCtr3fM86PqYC5OTLhobLTS3ZYt5Wq2tJjIHH2xCUFLy4V/pquZpbNtmQhmOs737rolLmNJfUmIi0tER88A6Oy1zculSO6eiwvYPHmxeXGJGY0NDzL7t200UwfoYMcImfYch1k2bYoIRv+Xl2bVFzNalS61tY6NdP8ykrKgwOw49NCZ+8R5s2L6x0fYfdFDM06qrs3bhd25piZ0HsfqUqhbibW21Np2dMcHLz7dM0oMOsu+zfLl5yaNGwVVXwdSp2Q3fRRWleLEJl0NP/Ky5vDR6b0SpvR1+9jP7Ax18sP1yGDo0++L0IRE5FLvjb8c1moCJVRMccwZMPQZmPwWt620fA6BoOJx6PKxYBqv/go1Z5WE1+ATKB9hrw+7gmoKJXTNc9k8eKnScdBF6Un3xQzf0hkOha283kS8tjf0QyMszwRszBo45JjdF6YAoF1PVtXttUYbojSiBudI332wx7qIic7HHjbNjDQ2x6gGZJr4SRBjau3YWrFoGrMCEJ4PUHAU/+x6Ulnloz3H2B3buzGFR+tBJIoNUdWcG7MkYvRUlMEF6/nmr+DBjhv2yULVY7tatFgefMiW99kbhg4y9fGxK87tAJ0yaDutaobkRaMTCfuVACRRVw6Aq2PwU0BGce7C9TjoiSEVeGHTQAiyL9Sf5oIcE52wGdkHl+FjYz8XKcfYd+kqUun1siMhlwGZVfTz4PAN4ABgV1MP7pKou6+4acdeqBm4HzsRWGvoXVZ2TpJ0APwKuCnbdDvyzqqqITAJuAk7AHo2vAV+LakNvGTcu5h2pmstbWwsrV9oA69NP24BhmD2TLfbI2FuKjf8cBD+/0QRi9k1YuA9gux3/3GfsvAvWxYUD37Vxo59fak33CBUWQvFgOGwUvLkAWBJnQDHUNcEFP4DmXdD2NtAObxbuuQS8J044jhOVbj0lEVkIXKaqC4PPb2A1B/4H+AowVlU/GakjkfuwEYwvAtOBucAJqrokod2XgOuwyuSKpZ3/TFVvFZFjsHoHDwB1wPeAz0QpCrs3nlJ3vPQS3HGHzeO48MLua7RlgmRhvVTJDPFCkXhed9e89pfBQHEL9rNiRxdG5QFjoGw0jJ8Ay9ZA+2ZgC9AElQdGEywXM8fpO3IyfCciO4HBqtopImOxNPDhqrpDRCqBd1V1eJcXiF2nHFuPaYqqLg/23Q1sUNXvJLR9CbhTVWcFn78IXK2qH1rpKPC+tgNDVHV7dzZkSpRUbYHAP//ZBgc/+9nYRMG+pjvh6Q0fhAtD76sCGAXFo6HldWB31+d+QDnQBBMmw8lHwX1vQet27K/YDpXjUmcBgouV42SanAzfAe3YGqrNWMhsqaqGv48bgaiP30lARyhIAQuBjyRpOzk4Ft+uq1kYpwCbuhIkEbkGKyJLTYZqoojYBLktW+C55+DRR+1zX6WPx9PVuk69ZY9wYattlXnwieNgzotxDcuAUTDxOHh/IzRsAuqBrdiqu8CqRbYlUrcGzvocSDl0NhATQIG6Nvj1X+GJh2M2vFnkoULH2ZdI9d/1OeA/ReQu4KvAw3HHDgE2ReynAqhN2FcLJFtOL7FtLVAhIhJfkVxExgC3YKG+pATe1iwwTymirT2moAAuvTQ2O7ylxcaY9jW6muAL8PADcWLVDpUF8IvLk4xtlQJtcNyZsPJd2CrYX7ge+5nTDNoczL2KpwVYCff/DzAUS4EvBjqhrh1+8X9w9cfhkm/1TrBczBwnN0gVvhsN3A0cjS1//hlVrQ2O/QgoU9WvpexE5AjgRVUti9v3TeBUVf1EQtta4KOq+mrw+SjgWVWtjGszFBPMe1X1P6N80UyF7+KprzdRev55m2CXC95StujN2NaHBAugCj52NTS2wXP3EBu3GoqJ0CbMf++OEcAgoBDIh/GHwrEHwwOPQsvy4JqFsbEt6F2osLci5wLo9AdyckwpbZ3ExpQmq+qKYN9s4P0uxpTuUNXfBJ+/AFwTjimJyCDgaeDxxHO7IxuiFLJkiZX/KC/fs2jm/kpvBAuSH/vYufCH+zB/uhCbAFwHlbVQvytW2iYS+SDVIGXQmY/FDQpsP/kwZRCseBtatmGiWAXFg+BfroaqEvi3m6BxJeblRayKkeqYi5yTK+zTogQgIr/DsumuwrLv/kLy7LsvYwsKnkEs++7nQfZdFfAk8Kqq/mNP+s+mKNXXw/e/bwUYTz7Z0slzJfkh1+hpFiB0/VC/+2m453+AMViYsADIg6oB0LgL2ndiGYDNmfs+ZQOhuRI6Jeg/rvZJYRFUNMLOddi/7GpgpLUbOtYKc3bUY6HKdihtg5v+2c77f7+CpvXYmJxC+Vi4/xfd349UpaZcAJ3u2B9EqRqrk/dRLNfqO6o6R0ROBh5V1YqgnQA3EpundBuxeUqXA3diow/xhh+mquu66z+boqQKc+ZY0kNYl+qAA2weU02NL5e9t6QtVFgGf/9laG6H5x7DBCTOUyrbAo0bgrZjMc+sHaQDtAUTj2ZscnK2yQNK+KBqfJhAQgUwHgaPhnGjYeEyaN8Vs7G0Gf7zG/BvNwf10YICYuUj4e4fQWkhXPi13tVFzKYA9ubYvtpXptjnRamvyaYogdW1evNNmDfP1mZqaLBMvbIyW4emq6UKnL0jnaHCT3wK5sxkTyErsjqAkETkCuHcL0FtPjz7MCZygv18yoejT4fKJnj6HmxcbARW8b0QCiuhrRarstGOlY1aB6UDQTuhuTjY38oHnlRGEPuOCDGPssCWUZEC6AgrXebHtppimDYKHnsR2sqC7ySQXwbHTIPX3oL2+uA7rYTSEfDvX4NNJXDrvdC8IegrH0pHwU/+FcoFrv1XqF8T3L9KKKuBm79rOvqN/4KmDcH9aISK8XDfTyC/AD779Q//Le/7CVz0jd6FVHt6LJt9ZXLc87a5sHoLzL+/ZqM2rRsV/R/R3uGilAWamqwk0UsvWQXe006zenmDB1slY/ecskM6Q4XpPtZjASyBT38NWjpg7ixsKjlYSHAsjDoQdu2Exm2YgHVgT/N3Ia8EOpv5QDxoC7Ygc7Lfk0fM4y2I+9xK7D4VAsMgLx8Q6OxIuMZWqB5ob3e0YR5oXCi2IPg/296ArcMdciDkFUFne1x7MRuGFkBZO6xdhi3kOTp2vKraXnfvwEQ4nC6RB8P+DtoLYccmYvEhtWM1Q2HTG9C6K/hOh9iPgRmH27zJD34QdAKroaQSvnElbCuAO5+Cth3Y3zzfSpB98XwozYNbbw6iBO2AzEA752dt+cMei5KIzFXVczJkT8boS1GKJ1yIbO1aE6pnnoHDD7clq12cco/eVL7ozTFIvwAmDVkWweFnw6K/fHj/Zf8E7Z0w5+eYSLUEx8rgI1dBWye89FiwL58PHvYzxsGm92D9AizMGRcFyCsOBFCxEOMq218xDBoHBMdCMdTYltcKncHyCxRgocrQ84xf0qKTDyZtx6/h5KSTGajmtijtVtWqDNmTMXJFlOJ54QW4/Xarozd4MBx/vK1/4ksy75+kWwC7CllmIrzUGwGE5OfszbFOhXv+FxOr0EsqgQknw6pnsRxggmOj4CPn2cfnHmJPL3EHnPM5ezt3LjZ2Bx+MOx5/lgngy48A8aPZk2DEYbBpaWBDKKT5cMwUKG6FeQ9hnlIYEMuH8UF5gNVvY17totixcZ+EtjzYsJI9R9LzoESheUHwudT6R6F0kL027Yo7ZwXQDAPHWDJOswY2xv8YKIC8NmhfFddPPxCluvg5Q/2FXBQlsJUr58yx1R7b2y0Z4thjs19Dz9k36U6w+qsA9ubYvjqm1OOwb6+O5b4oXZysuneuk6uiBPaL67XXbKnmtWutQsSxx8KRR/a1ZY4TnWwJYG+P7Yt9QRaEPZfGlETkPeBRbE7RE6ra0GXjHCeXRSmkqcnSyJ980la5ra6GykrYtcvSd8eNy/y4U2fnh5ehdhwnd8mUAN42F9Zshdf+L4ey70RkJHB2sJ0CLMAEam5CcdWcpz+IUkhHhy1XvGULrFgBf/qTLSYYrtl00EEwalR6xKOjw2r2bdpk2/bt8KlPmUB2dsK2bVaVYtCgve/LcZz+Q05WCVfVjdgie7eLSAEmTGcDD4pIESZQfwGeUdWWrq/k9IT8fNtqamwrK7N6em+9BYsWWRmj6mqYONG2AQM+fA1VE5bdu22OVFkZjBxpx+rr4eWXLRMwLCDb1mabCLz3HkybBnV1FlLMzzfP7YgjoKIiu/fCcZz9i8jzgVW1Has59zTwLREZB5yDVQ+fgi3852SA44+3bdcum+v0/POwahX87W92/MgjzWtautS8nd27bWtrs+SJjg4YPdrGqTo7TZSWLo1df+BAS0mfNs3EZ8QIE6fGRhOtRx+1icDLllmbqVOhuDi5rY7jOHuDT57th6haQsTzz5vYbNliIvLKK7BuXSylvLgYhgyx8Nu4cXD00bZPxLL+KirseChCXbFjBzz4oM2pamiwca6DDrK6fgCtrfDXv9o1CgtN5KqrLeQ3cOD+VS3dcfYVcjJ8lwwReSjqEuhOZhAxkRk3zj43NcHGjSYEIiYyo0ebKHQlNj1Z87C6Gr7wBfj7v4c//tEqoIdjUGDhvzVrPmxjQYElZpx+eqy/rVvNUyspiW3FxZ5c4TiO0Ztyfiel3QpnrygttQSICRMy28/o0fD1r9tk35YW85hULUR47LEWJmxshPXrzZNbswY2b7Z9mzZZ24ULYfVqE638fBOjvDwTpyFD4KMfjfX3+usmaiUl9h3jX+O9L9VYckhrq72qmigWFvo4mOP0J7zovNMjRCwkl0h8ssXRR8feh+NaTU0W+isuNs+rttbGverrbWsIJhts2mR9tLfHxswSBSwvz0KHEyfa8bfesqK3qrZ1dtqriInaRRfFzn/kEXsdOdIyGIcO9fCi4+QSKUVJRL6XsKskfp+q3pB2q5x9hsJC20pLTYzGjv1wmzD5ornZ2rW1mYiVlVkG4M6dluQRClldnb1u3GjCU1tr7YuL7fzSUvOSWlvteFNTTBw3b7Z+Vq2yNmVlJk4jR9ryIpVBrZLaWtvC89razM7OTjtvypSY/a+9FvuOZWUxG0pKTADDEOqmTeYl1tXFBLq83Dy5igobpwsFMhRVx9nfiOIpJf7XkCT7HKfX5OVBVZVt8XzqU8nbd3ZauK6jwx7ceXkxT6g7VOGcc0yQFi82D2vNGssqXLYMTjwRDjvMrh+m3id6X2DCM3hwTDTefDMmgPG25OXZNcePt3Dne+9ZSLKrezB0qAlVUZF5dA0Ndq3CQnsNx+jGj4dJk+y81lYT7bIyu0ZHRyzjsqMjvZ5ga6v9eIhfdqWjY9/yNHfssPse3sP4DNaysth97+y0fzsFBbYNGeIFldNFSlFS1f+I/ywiX0/c5zjZJHzgFxb27DwR84SmTbPtkkvM41qyxESopsYeNoWF5j11dOw5jlVUZFtpKRx1VMwLGjTIJh3v3BnbamvNI1q/3sbiBg6EY44xb2j4cHuItbZa4se2bfawHzvWzgm9w8bG5N8jPz8m4Nu3W2Hf8J5ATEhVbe2u4mI7Z8kSe+AOG2Y2VFd3LyiqZseGDbZt2WLXOu00e1Dn51vW5cCBsXDosGEx7zR+7G/ZMvNs29tjPyrC10GDYpmcqvDUU7GHfejNhhmd5eVde5Chx71rl93bgw7a81j8j5aODhOgLVvg4IOtn85Oq9y/evWe9zDchgyxMHVenn2Pxx/fM9N1wgT7wTB6dPf3tanJ+m1osHsWhsO3brX7rPphL7qoaM/v3d6+57+3nTvtu5eW2rSO+CSo+nq7RklJdO+7s9MEuS/ozZiSe0nOPkNVVWweWG8ZPTr5/s5gVdfeZBZ+8pPmXbW02IOludneNzbaw6WqyvYvX24e2K5ddjwMlxYV2euAASbEra02N62uDt5+2x7CJSUxT2rChJgXsGWLhSQbGuyBFiaPiNhDdMIEE6GVK82u1attC68Zemxnn22C0tZmlUnCBJdE6upimZwdHXvOoQN7SIce4wkn2EMXTPhXr46FWuPDrQMG2MO+sNDs+tOf7IEditr27bHv1dlpYgr2mp9vbcMfIGGGaHW13aP2drs3M2bYPa+vt8Set94yD7yqCs46y+5tKOxbtsS2urpYSHjGDBMQVftbLlwY+97hJPr8fLPhooti93bOnNiE9/aENbAGD7b2YFNE3nwzdv9CoSsvt7/NkUfGlvyYNy8WWm5qsnsxfnzP/+3uLb0RpRfSboXj7IPsTZq7SCxlPlnFjpCDDrKHfxSmTIF33jGvZelSE7PVq+1YQYH1oxob+wJ7KE+fbg/P6dPNWwgZNcqyLpctM09z0SI7r63NHnqtrTbPparKpim0tMTG+4qKYtmRYeZlZ6edM3HinoK8c6c99N97z/oNBWzxYus7DKuq2gO3psbWKDv4YBOMMAN09+49RXHQILsnxx1n97GqqmehyKOOir3fudOqpLz4ooWHGxtN+CorLRQbjmuG97qmxsRo8mQT+Ly8mODn55swhCK2fbvdiy1b7HwR28rLzbseP96uNWqU9VtWZve3sdHahelaz70AAA+vSURBVNeor9/zHhQW2vn5+bEfDk1Ne96fZElNmcYnzzrOfkpDgz3sW1vt4RM+gJqb7SFWWmoPz4Ie/HRtDpZQD3+pp5vOzlgm54svWsirpsa81ZoaE5Zk3lhHhwnHtm12bk2NCWEmkkl27bKH/Lp1JlCvvGKCP2WKCeWBB/asIoqqiRLY/VU14elpVZWWFvu7bt1qr42N5vk1NZnAbdpkr+GE+/D6ItmdPOui5DiOkyE6OvbMwOyPZFuUsjaPXkSqReQBEWkQkbUicnEX7UREbhSR7cH2Y5HYn1REZonIMhHpFJErsmW/4zhOT8nP79+C1Bdks7jLLdiSUcOBS4BficjkJO2uAc4DpgFTgY8DX4o7vhD4CvBGRq11HMdxsk5WRElEyoHzgetVtV5VXwAeAi5N0vxyYKaqrlfVDcBM4IrwoKreoqpPAc2Zt9xxHMfJJtnylCYBHQkLAy4EknlKk4Njqdo5juM4+xjZqn1XAdQm7KsFKiO0rQUqRES0h1kZInINFg4EaBGRxT05v48YAmzrayNS0B9sBLcznfQHG8HtTDclZNnObIlSPZBQRIYqoC5C2yqgvqeCBKCqs4BZACIyP5sZJL2lP9jZH2wEtzOd9Acbwe1MN4GdZ2Wzz2yF75YDBSIyMW7fNGBJkrZLgmOp2jmO4zj7GFkRJVVtAO4HbhCRchE5ETgXuDtJ89nAdSIyWkRGAd8E7gwPikiRiJRg5Y4KRaRERHyJOMdxnH2AbD7MvwKUAluA+4BrVXWJiJwsIvVx7X4NPAwsAhYDc4N9IX8FmoATsNBcE3BKhP5n7fU3yA79wc7+YCO4nemkP9gIbme6ybqd+01FB8dxHCf38bCX4ziOkzO4KDmO4zi5g6ru0xtQDTwANABrgYsz1E8xcHvQRx3wJvCx4Ng4QLF093C7PuHc3wK7gU3AdQnXPh1YCjQCzwAHRD03iZ3PYtUwQjuWxR27OLC/AXgQqI56H/fm3CQ21idsHcDPc+FeAv8IzAdagDvTde00n3t9MhuB44AngB3AVuCPwMi4498H2hLu7YS449OB14N+Xgemxx0T4EZge7D9mGB4oKtzu7qXffk3TnZuN3ZekmBjY2D3UX1wP4+mi+dPjv3bPCD+eNL//715APenDUuq+D02KfckbDLu5Az0Ux78IxyHeaAfD/5xjIv7T1bQxbn/DcwDBgGHBn/cs4JjQwKbP4NNZLsJeDnKuV309SxwVZL9kwN7Twnu1Rzgd1Hu496cG/G+1gOnBJ/79F4Cn8ZqM/6KPR9Qvb52Bs5d1oWNHwvaVQFl2MPksbjj3wfu6eK+FmEPvG9gD6KvBZ+LguNfCvodA4wG3ga+nOLcC7uws0/+xl2d29XfPIldVwAriY3VZ/N+rgN+QPLnTy7923y5q/v3wTXT/XDOpQ17oLUCk+L23Q38KEv9v4XV/Ev1n2wDcGbc5x8QPNSxihQvJXynJuCQVOd20dezJBel/wLmxH0+MLh3lanu496cG+EeXg6sIvYfPSfuJfBD9nyQ9vramTo30cYk3+FIoC7u8/fp+iF6ZmBH/K/1dcQeQC8B18Qd+yLBAyjCuYn3sk/+xhHOTXU/nwH+va/vZ9y+8PmTc/82u/s/v6+PKfWk5l5aEZHhQf/xE3/Xish6EblDRIYE7QYBo+i63t8etQDV5nyt5P+3d+4xVlVXHP5+iIoVxCoYhCgW8NGgRuMrqfXRiKVSqU1sbJDK2KRtMLVqan0UlVbFZ22Df2iVlISHaIs2bdVqqzWt9VGwpgpGJfWFBWEwFVAGCUWy+sfaVzZn7rlzhzuXuUzWl5zkzt5n773OOmf2Ovtx1oKxdZQt4xZJ/5X0nKTTS9p5i2RM6FqPjZTtijZgnqWnOqNVdFmhkbqbUrYOmU+l84fpEyWtlfSqpIsK17e0cB+WlslRRcZaZcvY2fd4h3UpaSSuz3mFrF7RZ6H/2aWezb5ulLrjc6/HkLQ7sACYa2bLcN9RJ+Dz08el9hdkMlbkqiZjrWvoqmw1rgJG4VMCs4BHJI2uo51aemykbCmSDgZOA+Zmya2ky5xG6m5W2VIkHQ1MB67IkhfiUzBDge8C0yVNqrOdUp+VOyBjb93jRvqLKcAzZvZOltYr+qzS/+xSz2ZfN0rd8bnXIyTvEvPxkcLFAObhOl40s0/MbE1K/7KkfZKMFbmqyVjrGroq2wkzW2xmG8xss5nNBZ4DJtTRTi09NlK2FlOAZ/N/9FbSZYFG6m5W2apIGgM8DlxqZs9U0s3sNTNbZWZbzex54E7gG3W2U8tnZbdk7MV73Oizmr889Yo+q/U/XbTVcvrs60apOz73Gia9xczGAxmea2ZbSk6tDLtlZuuA1ZT7+9vOF2CKTTUaeLWOsvVg+E6fYjuj8EXUf9O1HhspW4tO/+gl8kPv67KRuptStpqQaZrpL8CNZlbNzVdO5dmotHN0HgUaD8JZVY4qMtYq2xU76x53S5fZeSfj01gP1XEdzdZntf5nl3g2P6XWglNfOIBf47u/9gZOpkm771Jb9+C7dQYW0k8CDsdfAvbHd6L9Ncu/FXga38FyRLrRlQXPoUnmc/EdLLex/e6X0rJV5NsXGJ/q6Y9vad2YZBuLb+s8JenqPrbfQVeqx0bK1tDlF5Jsg1pJl0lvA/BdR/MzXe5w3c0oWyLjCHxO/4oSnZ+T2hBwIr6I3ZbyKju+LsVfOC5m+91iU4HXUxvD8Y6nuFusWHavEjl75R7X0GXVe57VOQtf9+xtfc6iev/TUs9ml/1oMzrnVjrwb2R+j3dw/6F53ymNxN+E8m+AOvCOfxLwTpJhNb4YOiwrm+/1X0Pnvf7j8L3+m/Ddc4fUW7bKw/lPfPi8Pj3AZ2b55ycdbQT+QOdvjUr12EjZElnvBeZXSe9VXeI7qqxw/LTRunu47MxqMgI/ofP3Px1ZPQ/g38R0pPouKbRzLP5NzCbgX8CxWZ7wb2nWpqP4XU2nsmW67M17XK1sF/d8AP6/dEaVZ2Vn6nMCJf1Piz2bhxT1VDzC910QBEHQMvT1NaUgCIJgFyKMUhAEQdAyhFEKgiAIWoYwSkEQBEHLEEYpCIIgaBnCKAVBEAQtQxiloFeQdI+k63pbjqC5SLpF0mXp9+mSVu5gPXtKWibpgJ6VMGg1wigFPY6k5ZI2Sdogab2k5yVNTX65ADCzqWZ2Y511jWuuxN2jkc61mdQjl6Q5kv4nqSN5r35S0hGFcy6UZJLOq1J+mqR3UvmVkn5To62huKuoe3f0miqY2Wb8I82rGq0raG3CKAXNYqKZDcI9XdyKdyaze1ekIHG7mQ3EA8i9D8wp5LfhXgTa8kRJbcAFwLhU/njgqRrtXAg8ZmabekZs7gfaJO3ZQ/UFLUgYpaCpmNmHZvYw8E28QzkSPn1jn5F+D5H0aBpVrZX0jKR+kuYDB+PhNTokXZnOf1BSu6QPJf1dUh5HZo6kuyT9MY3UFqfQHJX8sWl0sFbSGknTUno/SVdLekvSB5IWStqveD3JqeTjwPAkU4ek4Wl6aaakVemYWdZ5ppHIs5LukLQujTzOyvIHS5otabWk9yTNkLRbyvulpIeyc2+T9FSZXF3cm4/xjv7IrL6ReLiQ7wHj5XF5KpwA/Nk8XhZm1m5ms2o0cRbuF614/dPk8byWS5qcpc9J07pPpnv3dJKnIu9KYB0e1j3oo4RRCnYKZvYCsBJ32lrk8pQ3FPdwPM2L2AW4r7yJZjbQzG5P5z8OHAocgPv9WlCobxJwPe4k8k3gJgBJg3AP2X/CnVyOYdub/iV4yOvTUt464K4q17ER72xXJZkGmtkq4Bq8szwG94x8InBtDZWchIe7HoL7NZudeX2eC3yS5DsWjzT6nUxXRyfDdgoekbSthlylSBqI+2Z8KUueArxoZr/FHYJOzvIWAVMkXSHp+IqhrMFR6RpzhqVrHoGPxGZJOjzLn4xHLx0CvEzne/s623ulDvoaXTnHiyOO7h7AcnyKp5i+CLgm/Z4DzEi/b8CduI6pt64sf1/cEeXgrN5fZfkTgGXp9yTgpZJ6XidzqgkcCGyhSkhu4HRgZSHtLWBC9vd4YHlJWxcCb2Z/fyZdwzDcKG8G9sryJ7G9l+wT8em1d4FJteSq0vYc3GnneqAdeBgYneW/AVyWfv8YWFIoPxk37BtxZ6NX12hrC1no6yTfJ8DeWdpC4LpMtty7/EBgK3BQlrYAmN7bz3gczTtipBTsTEbgnWmRn+EjmickvS3p6rIKJO0m6dY0zfYRbrTA36wrtGe/P2ZbhMyDcONRjZHA79IU4nrcSG3FjUQ9DMeNRIV3U1oZn8poPo1GknMksDuwOpPlXnxUWDn/BeBt3JP0wjrly7nDzPY1s2Fm9jVL03HyuECfw0ONgE/tHSXpmKztBWY2Dn8ZmArcIGl8STvr6BxldJ35qK5CUU8rsrY68Oclzx+EG9SgjxJGKdgpSDoBN0rPFvPMI+FebmajgInADyWdUckunH4+HqdmHDAYDy0A24Kn1WIFHmSsLO+s1FlXjgFm9l6Vc6u51l+FG5QKB6e07rICHykNyeTYx8zydbPv4yEDVgFXdiFXd2jD9fiypHZgcUqfUjzRzLaY2YPAUrI1qQJLgcMKaZ9N618Vino6qPIjTS/uV8j/PLCk60sJdlXCKAVNRdI+ks7G377vM7NXqpxztqQxaU3lI3yEsjVlrwFGZacPwjvtD/Bpr5u7Ic6jwDBJl6WNCYMknZTy7gFuqiysSxoq6ZySetYA+0sanKU9AFybyg0BpuPBDruFma0GngB+nnTXT9JoSacluQ4DZgDfwnfCXZmNZKrJVReSBgDn4RscjsmOHwCTJfVP61hfTXrrlzZnjGWb8SryGL5GV+R6SXukNbGzgQezvAmSvihpD3xtabGZrUgyjsCN1KLuXl+w6xBGKWgWj0jagL/5XwP8Avh2ybmH4usUHcA/gLvN7G8p7xa8s18v6Ud4wLd38Sier9GNDsrMNgBn4qOxdnz95Esp+058feWJJPcifDNCtXqW4Ubo7STXcNxQvIiPDl7BN2DMqFe2AlPw6KKv4VNgDwEHSuqPG7rbzGyJmb2BbwqZL2nPErnq5et4ILZ55rvq2s2sHd/GvxvwFfyFYRq++WQ9vkHjIjPrNPpNzMONzF5ZWnu6plX4+tDUJHeF+/FghGuB49h+o8X5wFzzb5aCPkoE+QuCoGlIuhl438xm1nHuHHyjRqddi2l7/RLgVDN7v8cFDVqG/r0tQBAEfRczm9ZD9WwGjujyxGCXJ6bvgiAIgpYhpu+CIAiCliFGSkEQBEHLEEYpCIIgaBnCKAVBEAQtQxilIAiCoGUIoxQEQRC0DGGUgiAIgpbh/w38Sbcxw6Q/AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Analyze improvement of using APARENT2 score\n", "\n", "#By site distance\n", "\n", "l_cutoffs = np.linspace(1500, 2e5, 50)\n", "\n", "f = plt.figure(figsize=(6, 4))\n", "\n", "r_vals = []\n", "for l_cutoff in l_cutoffs.tolist() :\n", " keep_index = np.exp(l[:, 1])-1. <= l_cutoff\n", "\n", " r_vals.append(spearmanr(y_pred[keep_index], y_true[keep_index])[0] - spearmanr(y_pred_bl[keep_index], y_true[keep_index])[0])\n", "\n", "r_vals = np.array(r_vals)\n", "\n", "plt.plot(l_cutoffs, r_vals, color='deepskyblue', linewidth=2, linestyle='--')\n", "plt.scatter(l_cutoffs, r_vals, s=25, color='deepskyblue')\n", "\n", "plt.xlim(0-100, 200000+500)\n", "plt.ylim(0.015, 0.057)\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.xlabel(\"Distance to next PAS (bp)\", fontsize=12)\n", "plt.ylabel(\"+/- Spearman r (using APARENT2)\", fontsize=12)\n", "\n", "plt.show()\n", "\n", "#Re-run analysis with 1,000-fold bootstrapping\n", "n_bootstrap = 1000\n", "\n", "l_cutoffs = np.linspace(1500, 2e5, 50)\n", "\n", "f = plt.figure(figsize=(6, 4))\n", "\n", "r_vals = []\n", "r_vals_lower = []\n", "r_vals_upper = []\n", "for l_cutoff in l_cutoffs.tolist() :\n", " keep_index = np.exp(l[:, 1])-1. <= l_cutoff\n", "\n", " r_vals.append(spearmanr(y_pred[keep_index], y_true[keep_index])[0] - spearmanr(y_pred_bl[keep_index], y_true[keep_index])[0])\n", "\n", " r_vals_bootstrap = []\n", " for bootstrap_ix in range(n_bootstrap) :\n", " sel_index = np.nonzero(keep_index)[0].tolist()\n", " sel_index = np.random.choice(sel_index, size=(len(sel_index),), replace=True)\n", "\n", " r_vals_bootstrap.append(spearmanr(y_pred[sel_index], y_true[sel_index])[0] - spearmanr(y_pred_bl[sel_index], y_true[sel_index])[0])\n", "\n", " r_vals_lower.append(np.quantile(r_vals_bootstrap, q=0.05))\n", " r_vals_upper.append(np.quantile(r_vals_bootstrap, q=0.95))\n", "\n", "r_vals = np.array(r_vals)\n", "r_vals_lower = np.array(r_vals_lower)\n", "r_vals_upper = np.array(r_vals_upper)\n", "\n", "plt.plot(l_cutoffs, r_vals, color='deepskyblue', linewidth=2, linestyle='--')\n", "plt.scatter(l_cutoffs, r_vals, s=25, color='deepskyblue')\n", "\n", "plt.plot(l_cutoffs, r_vals_lower, color='blue', alpha=0.5, linewidth=2, linestyle='--')\n", "plt.plot(l_cutoffs, r_vals, color='blue', linewidth=2, linestyle='-')\n", "plt.plot(l_cutoffs, r_vals_upper, color='blue', alpha=0.5, linewidth=2, linestyle='--')\n", "plt.fill_between(l_cutoffs, r_vals_lower, r_vals_upper, color='blue', alpha=0.25)\n", "plt.scatter(l_cutoffs, r_vals, s=25, color='blue')\n", "\n", "plt.xlim(0-100, 200000+500)\n", "plt.ylim(0.01, 0.081)\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.xlabel(\"Distance to next PAS (bp)\", fontsize=12)\n", "plt.ylabel(\"+/- Spearman r (using APARENT2)\", fontsize=12)\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 0.541751\n", " Iterations: 5\n", " Function evaluations: 60\n", " Gradient evaluations: 10\n", "[ 0.04988193 0.16377832 0.02963723 -1.17277701]\n", "Optimization terminated successfully.\n", " Current function value: 0.548048\n", " Iterations: 4\n", " Function evaluations: 54\n", " Gradient evaluations: 9\n", "[ 0. 0.17648804 0.03119635 -1.35448619]\n", "- Spearman r = 0.429\n", "- Spearman r (baseline) = 0.418\n", "- n = 6644\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "(y_thresh = 1.099)\n", "AUC (baseline) = 0.789\n", "AUC = 0.798\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AP (baseline) = 0.413\n", "AP = 0.417\n", "APR (baseline) = 2.721\n", "APR = 2.75\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Fit regression model (first pas only, distance to third PAS included)\n", "\n", "def lor_model_predict(s, m, l, w_pas, w_len, w_bias) :\n", " \n", " score = w_pas * s[:, 0] + w_len[0] * l[:, 1] + w_len[1] * l[:, 2] + w_bias\n", " \n", " return score\n", "\n", "def lor_model_mse(w_bundle, s, m, l, y_true) :\n", " \n", " w_pas = w_bundle[0]\n", " w_len = w_bundle[1:3]\n", " w_bias = w_bundle[3]\n", " \n", " y_pred = lor_model_predict(s, m, l, w_pas, w_len, w_bias)\n", " \n", " mse = (y_pred - y_true)**2\n", " \n", " return np.mean(mse)\n", "\n", "y_true = lor_prox\n", "\n", "w0 = np.zeros(4)\n", "\n", "res = minimize(lor_model_mse, w0, args=(s, m, l, y_true), method='BFGS', options={'disp': True})\n", "\n", "w_pas = res.x[0]\n", "w_len = res.x[1:3]\n", "w_bias = res.x[3]\n", "\n", "print(res.x)\n", "\n", "y_pred = lor_model_predict(s, m, l, w_pas, w_len, w_bias)\n", "\n", "#Baseline\n", "w0 = np.zeros(4)\n", "\n", "res = minimize(lor_model_mse, w0, args=(np.zeros(s.shape), m, l, y_true), method='BFGS', options={'disp': True})\n", "\n", "w_pas_bl = res.x[0]\n", "w_len_bl = res.x[1:3]\n", "w_bias_bl = res.x[3]\n", "\n", "print(res.x)\n", "\n", "y_pred_bl = lor_model_predict(s, m, l, w_pas_bl, w_len_bl, w_bias_bl)\n", "\n", "spearman_r_val, _ = spearmanr(y_pred, y_true)\n", "spearman_r_val_bl, _ = spearmanr(y_pred_bl, y_true)\n", "\n", "print(\"- Spearman r = \" + str(round(spearman_r_val, 3)))\n", "print(\"- Spearman r (baseline) = \" + str(round(spearman_r_val_bl, 3)))\n", "print(\"- n = \" + str(y_true.shape[0]))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.scatter(y_pred, y_true, c='black', s=15, alpha=0.1)\n", "\n", "#plt.xlim(-3., 3.)\n", "#plt.ylim(-3., 3.)\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.xlabel(\"Predicted LOR\", fontsize=12)\n", "plt.ylabel(\"Measured LOR\", fontsize=12)\n", "\n", "plt.title(\"Pred. vs. Meas. LOR\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "low_qtl = np.quantile(y_pred, q=0.1)\n", "high_qtl = np.quantile(y_pred, q=0.9)\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.scatter(y_1_prox, y_2_prox, cmap='bwr', c=y_pred, vmin=low_qtl, vmax=high_qtl, s=15, alpha=0.5)\n", "\n", "plt.plot([0, 1], [0, 1], color='black', linewidth=3, linestyle='--')\n", "\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 1)\n", "\n", "plt.xticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "\n", "plt.xlabel(cell_type_1, fontsize=12)\n", "plt.ylabel(cell_type_2, fontsize=12)\n", "\n", "plt.title(\"Measured PPUI\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "y_thresh = np.log(3.)\n", "\n", "print(\"(y_thresh = \" + str(round(y_thresh, 3)) + \")\")\n", "\n", "fpr, tpr, _ = roc_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "auc = roc_auc_score(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "\n", "fpr_bl, tpr_bl, _ = roc_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "auc_bl = roc_auc_score(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "\n", "print(\"AUC (baseline) = \" + str(round(auc_bl, 3)))\n", "print(\"AUC = \" + str(round(auc, 3)))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "l1 = plt.plot(fpr_bl, tpr_bl, color='green', linewidth=3, label='Distance')\n", "l2 = plt.plot(fpr, tpr, color='magenta', linewidth=3, label='Dist + A2')\n", "\n", "plt.xlim(0., 1.)\n", "plt.ylim(0., 1.)\n", "\n", "plt.xticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "\n", "plt.xlabel(\"False Positive Rate\", fontsize=12)\n", "plt.ylabel(\"True Positive Rate\", fontsize=12)\n", "\n", "plt.legend(handles=[l1[0], l2[0]], fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "prec, rec, _ = precision_recall_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "ap = average_precision_score(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "\n", "prec_bl, rec_bl, _ = precision_recall_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "ap_bl = average_precision_score(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "\n", "print(\"AP (baseline) = \" + str(round(ap_bl, 3)))\n", "print(\"AP = \" + str(round(ap, 3)))\n", "\n", "print(\"APR (baseline) = \" + str(round(ap_bl / (np.sum(y_true > y_thresh) / y_true.shape[0]), 3)))\n", "print(\"APR = \" + str(round(ap / (np.sum(y_true > y_thresh) / y_true.shape[0]), 3)))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "l1 = plt.plot(prec_bl, rec_bl, color='green', linewidth=3, label='Distance')\n", "l2 = plt.plot(prec, rec, color='magenta', linewidth=3, label='Dist + A2')\n", "\n", "plt.xlim(0., 1.)\n", "plt.ylim(0., 1.)\n", "\n", "plt.xticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "\n", "plt.xlabel(\"Precision\", fontsize=12)\n", "plt.ylabel(\"Recall\", fontsize=12)\n", "\n", "plt.legend(handles=[l1[0], l2[0]], fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Analyze improvement of using APARENT2 score\n", "\n", "#By site distance\n", "\n", "l_cutoffs = np.linspace(1500, 2e5, 50)\n", "\n", "f = plt.figure(figsize=(6, 4))\n", "\n", "r_vals = []\n", "for l_cutoff in l_cutoffs.tolist() :\n", " keep_index = np.exp(l[:, 1])-1. <= l_cutoff\n", "\n", " r_vals.append(spearmanr(y_pred[keep_index], y_true[keep_index])[0] - spearmanr(y_pred_bl[keep_index], y_true[keep_index])[0])\n", "\n", "r_vals = np.array(r_vals)\n", "\n", "plt.plot(l_cutoffs, r_vals, color='deepskyblue', linewidth=2, linestyle='--')\n", "plt.scatter(l_cutoffs, r_vals, s=25, color='deepskyblue')\n", "\n", "plt.xlim(0-100, 200000+500)\n", "plt.ylim(0.0115, 0.02125)\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.xlabel(\"Distance to next PAS (bp)\", fontsize=12)\n", "plt.ylabel(\"+/- Spearman r (using APARENT2)\", fontsize=12)\n", "\n", "plt.show()\n", "\n", "#Re-run analysis with 1,000-fold bootstrapping\n", "n_bootstrap = 1000\n", "\n", "l_cutoffs = np.linspace(1500, 2e5, 50)\n", "\n", "f = plt.figure(figsize=(6, 4))\n", "\n", "r_vals = []\n", "r_vals_lower = []\n", "r_vals_upper = []\n", "for l_cutoff in l_cutoffs.tolist() :\n", " keep_index = np.exp(l[:, 1])-1. <= l_cutoff\n", "\n", " r_vals.append(spearmanr(y_pred[keep_index], y_true[keep_index])[0] - spearmanr(y_pred_bl[keep_index], y_true[keep_index])[0])\n", "\n", " r_vals_bootstrap = []\n", " for bootstrap_ix in range(n_bootstrap) :\n", " sel_index = np.nonzero(keep_index)[0].tolist()\n", " sel_index = np.random.choice(sel_index, size=(len(sel_index),), replace=True)\n", "\n", " r_vals_bootstrap.append(spearmanr(y_pred[sel_index], y_true[sel_index])[0] - spearmanr(y_pred_bl[sel_index], y_true[sel_index])[0])\n", "\n", " r_vals_lower.append(np.quantile(r_vals_bootstrap, q=0.05))\n", " r_vals_upper.append(np.quantile(r_vals_bootstrap, q=0.95))\n", "\n", "r_vals = np.array(r_vals)\n", "r_vals_lower = np.array(r_vals_lower)\n", "r_vals_upper = np.array(r_vals_upper)\n", "\n", "plt.plot(l_cutoffs, r_vals, color='deepskyblue', linewidth=2, linestyle='--')\n", "plt.scatter(l_cutoffs, r_vals, s=25, color='deepskyblue')\n", "\n", "plt.plot(l_cutoffs, r_vals_lower, color='blue', alpha=0.5, linewidth=2, linestyle='--')\n", "plt.plot(l_cutoffs, r_vals, color='blue', linewidth=2, linestyle='-')\n", "plt.plot(l_cutoffs, r_vals_upper, color='blue', alpha=0.5, linewidth=2, linestyle='--')\n", "plt.fill_between(l_cutoffs, r_vals_lower, r_vals_upper, color='blue', alpha=0.25)\n", "plt.scatter(l_cutoffs, r_vals, s=25, color='blue')\n", "\n", "plt.xlim(0-100, 200000+500)\n", "plt.ylim(0.007, 0.0335)\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.xlabel(\"Distance to next PAS (bp)\", fontsize=12)\n", "plt.ylabel(\"+/- Spearman r (using APARENT2)\", fontsize=12)\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 0.525774\n", " Iterations: 144\n", " Function evaluations: 3576\n", " Gradient evaluations: 149\n", "[ 4.23008310e-02 -4.11905724e-01 -1.41608584e-01 -1.04383077e-01\n", " -5.63380948e-02 1.11481478e+00 -7.87003956e-01 2.19369783e-02\n", " 2.54488415e-02 -7.76555049e-03 2.11164488e-01 3.43447983e-01\n", " 3.30805371e-01 2.86513860e-01 2.61071392e-01 2.50869974e-01\n", " 2.03818295e-01 -1.25344601e-01 4.13234700e-01 -4.58548580e-02\n", " -1.52443276e+00 6.40710352e-07]\n", "Optimization terminated successfully.\n", " Current function value: 0.531712\n", " Iterations: 52\n", " Function evaluations: 1320\n", " Gradient evaluations: 55\n", "[ 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 0.00000000e+00 0.00000000e+00 2.26605687e-01 3.43972507e-01\n", " 3.04407269e-01 2.41842808e-01 2.24180975e-01 2.76709738e-01\n", " -1.28651062e-01 -1.48112836e-01 3.69874657e-01 -6.47569922e-02\n", " -1.71867413e+00 9.59330799e-07]\n", "- Spearman r = 0.458\n", "- Spearman r (baseline) = 0.45\n", "- n = 6644\n" ] }, { "data": { "image/png": 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IcuxqtYrdbsfpdLK1tYXb7R6KHMlZ43E5mH9Af4zrbwPfC7wAXKZvWP601jpzmovZn3/06dPcp4X3ByetGh13U53kZhtMHFerVTqdDisrKweSwnt7e6yurpok6+rq6kP7FmNYqVTY29szhgQeNoq3b9+mWCxis9nY2dmhVqvx2muv4XA4ePHFFw/kcB73fSuVCrdv38bpdNJut3n++ecf2v5RSfDjDOcw43EG5nuAl7XWaaXU/wlsAJ/WWv+Hs1+ahWcJZ0EiO3yzDXoYnU4Hh8Nhwg3AVIRarRbJZNLkS0ZHRw8YDjGG2WyWUCjEzs4OIyMjRqR78KbNZDLMzs5SrVYplUq0Wq0jq02DnznOSFSrVVwuF0opHA4Ha2tr1Ot14FsG41FJ8McZzmHE4wxMQGudBtBabymlKpZxsXAUzoJz8aiwa2VlBafTaTymcrlsPnPz5k2q1SqBQIBMJsPOzg4XL140+xVj6Ha7uXv3Ls1mk2KxSK/Xo9frsbCwYIzC6OioKW33ej2mpqbIZrOPDAePW7fNZjN5ms3NTVKpFKFQCPiWwXhUErzX65nclFSzhh2PMzAOpdR3AkpeOPy31tpKwFo4k6fp4M3mdrtZW1szXoEYFfGYWq0WvV6P8fFxer0eLpeLYDDIzMwMmUzmQCglxk+8DjFUMgVAPKWxsTGTCE6n07jdbhwOB9/85jfx+/2Ew2FGRkYeutGPMxLT09O89dZbpFIpSqUS0WiURqNBo9FAKUUikSAYDB7pCfr9fmOAoF8Cf9piUifB4wxMGvjHA39nD/2tgYXTXpSF08Ow9wQ9an1er5fV1VU6nQ5ra2u43W6cTietVotwOEw4HDYeU7lcxu12Y7fbee6559ja2uLixYusra3h9/sfCqXEyHg8HqBfQha5y0GjIIlh4chI1aher9Pr9ahWqywuLh5gCQPGWAwaCfFgRkZG8Pl85PN5arUaLpcLrTWNRoOFhf7tVK1WCQaD9Ho9VlZW8Hq9zM3NsbW1BfRDqmdBLfCRBkZrfe59WoeFM8KwiUAfxknWl8/nyefzLC4uHrjxRVAb+k948WimpqZwOp00Gg1CoRCXLl0ik8mwsbFBt9vl9ddfB6BYLOL3+7l79y42m41YLMb4+LgxCoPGb29vj/HxcbLZLLOzs+RyORwOB3a7nXg8zu3bt00oJYxej8dzIFys1+vMzMyglMLj8bC+vk4oFMLn8zExMYHH4zngCQ4S/8rlMuFwmI9//OMn/m2H4eFyIiavUipAn7Y/CuwBX9dal89yYRZOB0e568Nw4T1qfYLBG9LpdFIqlRgdHTVjXnu9Hm63m+XlZWw2G4FAwBiKy5cvY7PZSKVSLC8vk0wmzfddXV01JWOPx8Pi4iIrKyv0ej2SySTtdptgMEgqlTJGq9ls8pWvfMV4Lh/5yEcYGRkhHA5js9kOsIQjkcgBb0QguZ9KpUI2m+XSpUsmWV0oFPB4PHQ6HbLZLOVymaWlJUPkOyoUexyG4eHy2KtKKfVjwC79hsO/A3wO2FFK/YUzXpuFU8BR5LF3S1g7TW0U2dfe3h6bm5u02+2HCHaydrfbjVKKWCxGuVzG4XCQTqepVCrkcjlarZa5URuNhvE4er2eGYbWbreJx+NMT0+bdedyOdxuN51Oh+npaYLBIE6nE7fbTbFY5O233yadTpPL5ahWq2SzWaLRKNDPyQyGMND3tAZZwod/r1gsRjgcplQqEYvFiEajpNNp7t27x8jICA6Hg7t371IsFimVSpRKJTKZDPl8nu3t7SfOuQxDw+njiHY/DPw48CeBf6217iql7MAfAf4PpVRea/1Pzn6ZFt4tjqrurK2tvasL790+EY/ymGRf4+PjbG9vk0wmOXfu3IG8wmAy1uVy4fF4aDQaOBwOarUae3t7NJtNQqEQwWCQWq1GLpfj0qVLB9Y3OztrDEWtViORSDA9Pc39+/e5d+8ehUKBSCRCoVDA5/OxsbHB9PQ0GxsbBINBPB4Pm5ubXLx4kfHxcaanp2k0GthsNvN7JBIJ0un0AZbw4d9LGh69Xi/JZBK/34/D4WBychKn04nf72d5eZn5+XmWlpaw2+3UajWi0SiFQsFUyk7qcQ7DCJnHhUh/HvgTWuvflhf2mxD/pVKqAPwtwDIwQwybzXbAyAAPVWAGL7xHhU8nZdIOzmMGTO5jamrK3PiD+5qZmaHZ7DfMS1J2kAk7aMSkPB0IBMz2LpeLUCjEtWvXcLlc5HK5h0KKSCRCr9ej1WoRCoWw2WyMj4/TbrcpFArkcjlDvJuZmeHatWtMTEwQjUbJZrM4nU6UUsZDkbGw8h3EEA2GReVymVKpxL1794x3c/HiRTweD6urq4TDYSYmJnA4HOZ8RKNRrl+/zp07d6jVaszMzFAsFonH48azgpMZ9mdBrmER+MIx7/17rArSM4HDT9JgMHigAjN44T3KSznJE3Hw86urq0Df6HQ6HQqFAtFo1BivwX1Jmflx3tHg5wKBAK+//jo2m43V1VUajQbNZpP79+/jdDoZHx83vUFzc3MsLCzQ7XYPhGM+n4/FxUXeeecd7HY70WiUWCxGsVjE4/EQi8XweDzMzs7S7XZZXl5mamqK8+fPs7S0xL1793C5XMRiMebn5w8Q8CqVCteuXSObzdJoNHC73ZTLZUMarNVq9Ho9MpkMgUCAxcVF/H4/X//61/F4PCbky2QyvPzyyw9xfgYJiNls9qGHwjAQ8R5nYMrAFH0G72FM7b9vYchx2POo1+sPJSCP23bQC3iSfiGlFJlMhnq9zujoKDabzTylJXch1SFhykqZ+fBxB70it9tNo9FgZ2eH0dFR4vG4YcVOT0/TarVYWVkxVP7l5WWKxSLhcJipqSmazaapEK2urnL//n2j17K7u8vo6CjBYBC/308+n+fBgwcEAgFmZmaMMarX6zx48IBSqYTdbqdarWKz2QiFQng8HpxOJ2+88YYh/DmdTkKhELVajXQ6zblz5wypL51Oc+XKFXw+HzabjXq9TiKRoN1u43a7KZVKRCIRms2meX/QGOfzee7cuUOn0zmgQzM2NjYUyfzHHe3XgZ9RSnkGX1RKeen3Kf2bs1qYhdPDk0gnPmrb4yQYjvp8Op2mVquZ0KJSqeB0Og/c3O12m263C2A4I0cddzApvb6+TqVSYXFxEZfLRTabNdsppYhGo4RCIRKJhKH2y76SyeRDhlFu2FarhdPpZGNjg6WlJUKhELFYDJ/PRywWo16vHzC8wneZmZlhcXERrTU3btygUqnw4MEDCoWCWZN8p1wuh8fjodfrEY1GcbvdXLly5YCnJR6JGORQKMRLL710QGrT4/GYtdRqNTY3NwkEAlSrVWq1mjHOwyBb+jgP5sfph0JrSqnP0a8mTdBvfNwCfvBsl2fhNPAksfi7idsP512CwaBpystkMsYgvPbaawD81m/9lgmX3G43Gxsb5r2j1OWEg2K3282TP5fLUS6XTf/Q7Owsq6urJukbiURMKBEMBtFaUyqVzJqlBJ7P5+l0Ouzs7DA+Pk44HCYYDLK5uWlu7JmZGXZ2dkxFa319ndu3b5PP5xkbGyMYDJLP5/F6vSwtLZmk8fz8PMVi0eSN5ufnicViOJ1OstmsyduIARrs4HY6ncDxTY0SJuZyOcbHx2m1WlQqFdbW1njllVcMCXCoq0ha66JS6nXgh4DvAl4DMsBfBX5Ja906+yVaOIwndX2fJBZ/N3H7YN5FCGEOh4NKpUIikSCTydBut7HZbOzu7rK9vU29XqdWqxGJREx4MHjcQZJZt9tle3ubmZkZbDYbhULBlJqlgzoej5PNZslkMszNzRGLxdja2sJms9FsNrl+/ToApVKJ2dlZms0m3W6XeDzO1tYW3W7XSDpIibtSqXD16lVisRizs7PYbDbW1tYMu1hrzdLSksnR+Hw+tra2SKfTKKVMt/TFixd55ZVXGB0d5d69e+zs7DA5OUm32yWZTFIqlVBKGeLgxMSEUb076lwPPgTGx8ex2Wxsb2+TSqWYnp423+FZqCKhtW4DP7//z2BfEOontNb/02ktRinlBn6GvjGLAg+Av6K1/txpHeODgGEgUA3iODLf5OQknU6HyclJYxA2NjaIxWLkcjnq9Tpaaz7xiU88cp9TU1OGADc/P49Sina7TbvdNm0E0n8kORKbzcbs7Cxra2v85m/+JslkkpGREVZWVrhz5w6vv/46xWKRkZERLly4YErONpuNTqeD3++n3W7zxhtv0Ov1+I7v+A7Trf3WW29Rq9WMkSoUCiwuLtJoNGi32ywsLOB2u7lx4wbPP/888/PzbG5u8tZbb7G5ucno6Cgulwu3283m5iYej4eZmRnK5fKx0hKHz7VsIwYonU7z0ksvkUgk0FpTrVY5d+6c+S2HtYr0uM/+VeDUDMz+Pjfpa8JsAL8f+FWl1Ata67VTPM4zjcM39OGqwvudzDvqSZlIJNje3iYajVIsFkkkEmZ76cXJZrNEIpGHbhbJJTgcDvx+P81mk3PnzpntbDYb9+/fp1gs0mg0TNJ4enra5Htu3rxJIpGgXC5z/fp1er0eDoeDzc1NwuEwL730EoFAgHK5zPnz51lcXGR7e5s7d+4QjUbxeDzcuXMHpRSFQoFvfOMbjI2N4ff7KZVK7OzsHAjZOp2O8dTq9Trz8/Nsb2+zublJOp2mWq2Sz+dRSrG9vW1K5cJIPhzGyG9x584dk1+RfQye30GDVCwW0Vqbc/AsVJEeB/X4TU4OrXWVvmqe4P9TSq0CrwJrp3msZxnHlXiFNr+2tmZIa++HoTkqbyMdyZlM5oA8peRKhLsyPz9v1jj4tHY4HHQ6HZPYHMzJuN1uVldXyWQyjI+P4/F4WFlZoVqtorWm0+lgt9tJJpO888479Ho9U8Gp1WpMTk5SqVSoVqvkcjna7TYOh4OxsTEuXLjAO++8w5e//GU6nQ5Xrlyh0WiwubkJYBKsLpcLp9NpmhcLhQKtVguHw4FSiq985StkMhmCwSDZbJaFhQVeeOEFGo0GyWSSbDbL+Pg4SilsNpvJwwSDQXZ3d3nrrbeoVqtGr8bj8RCNRk1IeNhwPEnu7P2sLr1XA3Omav5KqTHgInDrLI/zrOHwxSSdxEKbdzgc72voNPikHLx44/E4zz///IGLd1BCcnA0iHwf8cykGlWr1VhbWyOfz9Nut00JXAyF3W43VZRoNMqNGzeM+PbNmzfJ5/NMTk6STCbJ5XKEQiEmJibQWpPP541Xo7Vmc3PTUPglLJMqVKlUMkLejUaDRCJBIBAgkUjgcPRvo6mpKR48eMCdO3e4desWMzMz9Ho9Go0G29vbXLx4kV6vRyKR4LnnnqNer+NwOPD5fAfK5/KQaLfbRkXP4XAY1m+5XH7ovD7KWzlsUHq9nqEMnPV18rhWgd/3iLddp7yWw8d2Ar8C/KLW+u4R739o5yIddTEVi8UDVZOzqho87un3uPzQcTeCeBnJZJJoNIrP5yOZTJo8x7Vr14hGo8zPz7O3t4fX6zXNgdVqlRdffJHx8XF2d3f53Oc+R7fbNdIG8XickZERtNY899xzTE1NmflE6XSacrmM0+k0zZEf/ehHicVirKyskMlkjAHweDyGgOf3++l2u5RKJRKJBC+99BI3b940oZIkos+fP4/T6URrbciAY2Nj3Llzh1arZYyQDGRbWVkxPVIiDQEQi8VwOBxks1kjMXFSHD4nYnTfj+rS4zyYn3/M+0cR8N4zlFI24JeAFvCjR23zYZ+LdFRpOJ/PG8LX5uam8QRO6gI/ajJhuVym0WhQLpfRWh+g/R+WoxRvarCM/Ljj7+3t4XA4GBkZYXl52fTrhEIhUqkU3W6XVCrFpUuX0Frj9XqNmNTk5CTLy8tsbm7y5S9/mdXVVXw+H41GA7vdDkC32+WTn/wkMzMzpNNpfD4f09PTPHjwwCR4K5UKWmu+/vWvMz8/TygUIhwOMzc3x9tvv23yLlKxcjgc9Ho9ut0ujUaDvb0943EEg0Gq1SqZTIZIJMKFCxcM1X9ra4tyuUy328Vut+PxeNjZ2eHy5cuUSiXThyRGwe12c+HCBWq1GgsLC481MIfPo3grYlDy+bzh9Zx1delxZer5MzvyMVBKKfqGbQz4/ftfiZoWAAAgAElEQVRVLAuHcFRp+LXXXjNq+QDj4+NP5AIf5X0ABwSyhWciPJbDCWZpERBG6XE5A+k0Xl9fN02I586dMzdwsVik0+mwtLREqVQinU4TCoVYX18nHA6bKo/kYDKZDMlkktXVVbTWZDIZY+yCwaDp2u50OkC/H6tWqzE+Ps7S0pIJkebn5+n1eoYZfP78ee7evcvOzg4ulwu73c7du3epVCp4PB4ikYgZRyKNmLFYjFKphM/nw+v1Mj8/bzg3mUyGVqvF7u4u4+PjvPHGG0xNTeF2u/H5fJRKJWOY2+02gUCAV155BYfDwdTUFIFA4IAOzknO4yDzt16vm5L7+1FdGsbJjv8QeA74Lq11/WkvZlhxVGlYypdCT7fb7QdkFt/NPgHcbjf379+n0WiYp7M8FQ/3EAWDQex2uxGECoVCrK6umlKy9P80Gg0KhYKpsLTbbTOGVXg0L7zwAp///OdxuVyGpNZqtVhYWDANkrlcjnw+D2DCqb29PXw+H7u7uyQSCSPn8M1vfpOZmRni8TjRaNSEI4FAgGQyaVoPxGgsLS2ZknQ8Hmd5eRmfzwdAq9UydP4bN26YNoVGo0EqlcLpdJJIJLh69Spzc3Pk83mSySTQ5+I4nU6SyaSpQtXrde7du2fYuzs7O8RiMVNt8nq9pmv8cQbh8Hm02WzGoxKD8n5VGYfKwCil5oA/Q38WdbLvzADwZ7TWv/LUFvYecRZZ+0eRqN4tweq4zy0vL9NsNqnVani9XkOgOyxVKZ87d+6c2c/m5qZhreZyORqNBvF4nN3dXbTWBINBRkZGTHK62+3icrkIBAKm+qKUIh6P4/F4yOVyzM3NGeMpfJpSqUQ2m8Vut5v9SdWl3W6jlDKziER+YW5ujkAgQD6fx+l0mptxdXWV69ev43A4TLvB/fv3TbVocnKSWCxmjJms2+v1Gl0an8/H7OwsHo/HSGJ2Oh3m5+dxuVzGAE9NTVEoFAgGg9y+fRuA9fV14vE4rVYLn8+Hz+djcnLSGAl4tGTDUefxaZWrh8rAaK3XOeXS9zDgLIhxjypLvts2/eM+t7a2ZpoAxdsY1IQ9fDEP7sdutxMOhw/E/rlcjtHRUe7fv0+32zVaKPF43JSty+WyqQbt7u5SrVZpNpu4XC7efvtt40U1Gg0ikQjFYvHAeBEpYafTabTWlMtl01OUTqcBeOWVV5ibmyOXyxlVf6fTyc7ODq1WC5fLRavVMgPtpRTdbDaNFIPP52N0dJSRkRFKpRLtdpuZmRmTO8nn81y9etXkpfL5PMFgkMnJSRYWFsjn8xSLRQqFAolEgmazSa/Xo1AoGO+lVquxs7MDcKJraBhkGgRDZWA+qDiLnpCjdF5O2qZ/lGbL4KjUw589d+4c+Xyezc1NE1LcuHGDbDZr+C1ys+dyOdbW1pidneXcuXNGREk4KpVKhYmJCXw+H2NjYyYJKmVfEbteWFgw3oHT6eTNN980Wi61Ws3cOJFIhHw+b7qYX375ZdPr5Ha7iUajZDIZI1Il1ad4PG7K4C6Xi8nJSVwuF9VqldHRUdLptDFo3W6XYrGIy+ViamrKJNPn5+cZGRnB6XQaRu/c3BytVst4V9/2bd+G2+02c5oKhQKdTgefz0e9XqfT6ZjxKpKAdrvdRuKhXC6zuLjI1taW0e993DU0DAQ7wbEGZr+S81horT/4E7zfI06rJ+QkfIZYLGbU7UdHR7l8+bLhaQiO0mwRYSN4uNXf6/XSaDRMg59SisXFRRO6yMWcTqdNcnd5eZm9vT1qtRr5fB6tNWNjY4yMjBhNlnA4zMWLFwkEAiZEKpVKrK6u4nQ6TYWmVquhlDIJUGHoXrhwgVarRbVaZWtry6j9i3rcICP40qVLLC8vMzc3x6VLl3jllVe4f/++kcMMBAL4/X6SySRbW1vU63Wy2Sy9Xo+RkRHGxsbodruUy2UikQgTExOMjIyYTm1JLIu2bq1WY2JiAq/Xy87OjmET+3w+EokE3W6X1dVV5ufn8fv9pNNp7t+/z7d927dx69YtXC4X8XiccrnMzZs3efnll02PVKvVeuIK4dPCozyYDicj0tlPaS0fWJyWy3oSPsPe3p5Rt9/e3gbg6tWrB/Yz6FF1Oh1jNAbnJR+uUm1tbdHpdNjY2DAKbJ/5zGfMk1T6j+SG29ra4s6dO/j9fjweD4lEgvPnzxu5zDt37hCJRFBKkU6nSaVSJh8i5LSZmRm2t7dpt9uUy2X29vaMAp10OAtDV6YGlMtlcwPa7Xaz31qtxvT0NOVymUKhwFe+8hUmJyfx+/1cv37dCHbfuHGDzc1NJP8nn5uYmKBer5PP57Hb7TSbTSPWLbIR0v6QTCbxeDzY7Xa++MUv4vX2p0tubm5Sr9dJJpNMT0/TbDbNtSBelijfCRta5iaNjIywurrK5z//ecbGxvj2b/92k9weFm/lKDzKwAyWqP8AfR3en6I/kH4O+EvAvz67pX1wcFou6+FQ6yg+g+jIlstlUwk5zKYd9Kjkqa+UYm9vD5fLdeSx0uk0pVKJQCBALpczJWQhrYlh2dzcNIJQXq+X8fFxU+2RSpcYmRs3brC7u2s8k2AwyEsvvcSDBw/odrtUKhVcLhfLy8vs7OywvLxsBKyEOFcsFrlz547J04gAlNYapRRer9dU1BqNBt1ul42NDTqdDjdu3CAWi+FyuYyAVKVSMRo15XKZarXK5uamCcNGR0fxeDzU63X29vZMeFOpVMzvVK1WjR5NpVLhYx/7GIlEgrffftv0SHU6HRYXF0mn07zzzjusr6+bcDAej5PP50kkEkZR7+7du6Z3y+l0cvfuXV588UVzvoYVxxqY/YQrAPsTBD6qtS7sv7SklLoGXKNfVrbwPkBU1iTsiMfjB4Z7yY178+ZNbDYbrVaLkZERUqnUAXr+4IxnucFEv0V4KId1e8WrsdvtKKUol8vU63WWl5epVCqmIrO7u4vf7zflaikd7+7uGhkB6TXa29tjeXmZSCRCu91mdXXVqOnX63VeffVVkskkxWKRWq1mPBNJerpcLlwuF6lUyoRh0uQ3WNodHx83BiccDlOpVKjX60ax3+v1GuMAfa+lUqmYiZKSK/H5fAQCAVM92tvbw+12U61WTS7F4/FQqVRoNpsUCgXGxsbI5/OmKiayDuI9ptNpstksXq+XXq/H+vo6Pp8Pj8fDm2++ySc+8QnGx8f5+te/jlKKkZERlFKm8XFqauqpXY8nwUmTvGHABxQGXvPtv27hfYIYkFwuRzQaxeVyYbPZDshfXr58mc3NTUqlEpOTk8zPz7OxsUEkEjmyAlGr1YxO7M7ODlprbt68aXRHxHi9/PLLRpelUqkQj8cJBALcu3eP9fV1CoUC2WyWmZkZI2a9traGw+EwhkPyKd1ulwsXLuDz+YjH4xQKBfb29shms0bVzuFwsLu7i9frpVAoUK/X8fl8FItF4221222jkidKbiLBILoowlWREnapVDJqczLiZG5uzoR6c3NzjIyMUKvVAMxUyFAoRLvdJplMsry8TCgUotvt0ul0GB8fx+fzsby8bGQpJBEsXuTNmzfNzCRZr8fjIRQKGcMkualKpcILL7zA9PS0aWF4/vnn2dzcpNVqUa/XTe5LBKqetjTmcTipgflF4AtKqZ+mL6cwA/y5/dctvE+w2Wz4fD4uXbpkZikfriY4HA4+8pGPHEgqA6ZJsFKpsLW1ZTqTt7e3TflZ+mtqtRpf+tKXiMViRCIRotEos7OzvPrqq4yNjeF2u03vkFRPcrkcmUzGPIkdDgcXL17k1q1bJJNJI20gXJhWq0UgEKBYLJpBaCJKJTOF5CaUikuj0aDT6RhKv3BJtNYmdLDb7Zw/f970BCmlKBaLplFRPBe32004HKbT6VAul5mfnzf5DuGv5PN5yuWymVMkXJZOp0Or1TISnZKAlvnSsViM69evmwqUtHF4PB7TSR0MBgkEAoyMjDA7O8v6+ro5T7FYzMhbSMl9enraEBMTiQTf+73fy8TEhOmfkvOdz+cN0XAYjM1JDcz/QF/86Y8Ck/SlM/8+8I/OaF0WjsFxFamjepOq1aph2m5ubuJyuUxf0fXr183ExEwmw/z8vAk7NjY2yOVyLC8vMzY2xvj4OFtbWzz33HO89tprzM7O8tWvfhWllBHtzmQyRptW+CCpVIqtrS1DgU+lUsZgyMgQ4Yv4/X7TqRwIBGg2mxSLRS5dusTe3h6hUAittZGulF4d6Dd3njt3jkwmw5UrV1BKcevWLePhbG1tUavVTIWn1+sRiUSMFzI7O2smKG5vbzM2Nsbzzz/Pzs4Ot2/fNhwWqWpJbgowMp3hcJhQKMT09DQ+n+9AU2a73ebixYvGkEpV78GDB0xMTJiO7Xg8ztTUFDMzM9RqNXZ3d42UQ6vVMv1MwnQWDObLJHy+ePHiUIiRncjA7Jeif3b/n4WniOMqUqlUykg5ymTBYDBoWvy3t7dNAlhc+1KpxPnz502YND8/b3RWJN+ytLTE6uoqzz33HKFQyLjmzz33HDs7O/j9fnZ3d034IaS3RqPB9evX8fl85lgPHjwgEolw8eJFvvnNb1KpVGi1Wpw/f97kcoShG41GGR8f58aNG9y/f59ms0kikTCjRAqFgknofuITnyAQCNDr9djZ2cHhcBidHAmvpFytlDIiV5/85CfJZrPcv3/fhFDSwyQejVLKjEOBvocYCASIxWKG3Wy322m1WgSDQTNtUio8W1tbhskra5SK1cbGhmnIXFhYMNUuGYXrdDqJRCLs7OywsrJCpVLB4XAc6DGLx+NUKhXu3btn8kWLi4tPVYd3ECedTa2APwV8PxDXWr+olPoUMK61/tWzXOCzhrOOh4+rSG1sbJheGJEKEM3bUCjEzMwMdrvdNEbK3ONyuczk5CRTU1NGeHt5eRm3282DBw+oVCpcuHCBQqFAsVg0laDnn3+eeDzOysoKfr+fUChEqVRic3PTJHBbrRZaazNFQJoO0+k0zz//PLVaja2tLZOMFnnMc+fOMTs7yxe/+MUDbN9kMonb7TY3O4DT6TRjVcVT293dBcDlcrG1tWXkNCXEkVnPg6GXNAXKFAAxVoVCwSjVaa2JxWJGSqFWq+F2uw8weYVM12q1SCQSZLNZk8+ZmJigUCiYsBIw0xY2NjZwOp1UKhX8fj+jo6N4vV7zvcSQiQLeoDTp6uoqe3t7KKVMn9egkPjTxElDpJ8APgP8NN/yYraAvwt8qA3MWYv5nNRgaa3J5XKkUinTjxOJRMjlciZZOzs7SzabZXd3l4sXL7K7u0swGCSRSJgO2+npaa5cucLdu3fNxen1ellYWDDEtaWlJXZ2duh0OqRSKaamphgZGeHcuXMkk0kqlQrb29umrF2r1Yw409LSEru7u7jdbrxeL2tra0aYe2pqinA4TCQSIZVKcfPmTdLpNHNzc0aJPxQKkUwmTU7D5/OZIfVSXhb9lUajgdPpxOFwGK1dqby5XC6SySS3b982VTbJa3m9XiMGvra2ZoykzK2WsSXSqHjr1i3DR5qcnDQym/fv3zeVq7GxMRKJBJFIhPX1dTMG12azGYKfeDfQT76LHCjAc889R7PZxOfzGQ8tHA6ztrZGpVIhGAxSKpWM/Ga73T4wO/tp5WNOamB+GHhFa51RSklZehVrsuOpivk8aobz4+QwfT6f6Z8RWrtMB1xeXjadwlJ5EGq/9NtUq1VSqZR5en784x/H7/eTzWbNwHapzCwvL/Pmm28aket6vc758+epVqsH5CtlLpIYDOkWdrlcpvdHZDHFA4J+s5/waZrNJg8ePDBGIZvNorU2uR7pPpYn92B5PhgMMjo6aloLCoUCfr+fRCJBpVIxhkmMU7PZNDIQ2WzWyHpCv1O72WzSarVIpVIm1JRmyGAwSLvdJpPJmKSynLfR0VHjscikgWq1SrfbNRMeJRcj5fSRkRGTaxFawNjYmPFCRYZCa02z2TThZalUMq0Wg8nfp5WPOamBsQOV/f8Xdm9g4LUPHQZFmQd7RPL5vLm5ZG6ODD1/HAaNlVQDMpkMoVDIJGyPksMcnIHj9/tNebPX6zE+Pm66mn/nd37HjOBYWFg4UIEQMaRgMMjExATJZJIXXniB1dVVHA4HExMTRsbgN37jNwzzNB6Ps7GxweXLl82MZkmuaq3N4DUxZH6/H7vdTr1ep9frGVGnUqlkkr2bm5sUi0XOnz9vchpSjZGndKfTMcleaQ/QWptKWLlcNqHU9PQ0pVKJZrPJzs6OMQoSEkl5XDwVCTfcbjfT09OsrKyYzmYJs0TjRnhDIpa1vb1tqj3y3UTQ6sKFC5w/f95wZRYXF1lZWTEynuvr6yZBPjo6eqArXYynzWYjHA4b6UypFmmt6Xa7Zv9wNj1wT4qTGpjPAX9HKfXnweRk/mfg353VwoYdYgxCoZCZmBcIBEwYIiVSyQccZtMehUE1uPX1dZrNpqlGiNDTUXKYqVTqAJtUFNREFyaXy5FMJkmn0+RyOZaWljh//jwLCwsPqZ3V63WTX7lz5w4f+9jHUEqxtbXFG2+8YWQjy+UygUCAra0tM5tndnaWvb09I0QlUgy9Xs/kgGQ0yJUrV9jb2yOZTJrBaq1Wi52dHTM1UVi7o6OjzM7OGm3bQe1hkUpwOBzY7XZTvu52u3g8HiNWJQZPqmiiESNhjjwEpHXC4/EYnsog0U7CD4fDwfr6uhHZikajrK+vG9EpkbDw+/2GddxsNnnjjTdMn1gulzM8HhFA39vbIxKJcPXqVXK5HBcvXjSGVIwIcEDr5cqVKwekRiWseibmIu3jzwP/FCgCTvqey+/QH8h2qlBK/Sj9kOwF4J9rrX/4tI9xGpCngwgQSU+KjJeIRqPU63WTnBTi2qPyKV6vl2vXrhnuRSKRME9IIa21223u3LmDw+EglUqhlDLTBIV/IsPYJSzJ5/Nks1lGR0eBflOihD/Cq7hy5YppQJSneC6XY3Nz01ygMrw9GAxSLBZJp9NmDOqtW7fw+XyMjIyYkSUSpolbH41GTfPgoCCW1pr19XUikYhJlgrnxe/3c/78eUZGRnjzzTfNDSahhJThpfdIbm7JhdntdjO9sdlsmsqTeHidTgellClBS+d0p9NhamrKNG/KaNlms4lSyvB8pH9LWLkyzM3pdJru71gsxtjYGOl0mt3dXVPdKpVKXLhwwXio7Xab119/3YSGIije6/WMGJfNZiMSiRxI4i4sLBCPxx+SOh0G2YbHGph9b2WUfi9SlH4f0qbWOnlGa9oBfhL4HsB7Rsd4zxh8OgQCAUNbd7vddLtdNjc3mZ6ept1uE41GjcfxuJi40WjgdrsN0euNN94gGo2a4WC7u7usr6+zvr6O2+0mEolw7949YrEYfr+fXC6HzWbj2rVr7O7uUiwW2d3dJZVKmRKyjMaQMamVSoW7d+/ykY98hFgsxle/+lWjAbO6ukqhUDBDvKSxUJ7iTqeTer3O22+/zZ07d5idnTWtA2KEJcnabDaZmJjgE5/4BDdv3sTr9XLp0iVWV1dZXV2lUqlw7do1ms0mwWCQq1evmpKy9FwBRuy7UvlWhC7HEUasHA8wHchSIZJQQymFUgqtNe122/z+MtTN5XIZar50SPt8PtPpPD4+TigUMuziRCJhvDsx9JcvXzZcIqkQlctlcrkc0JfCkAfTlStXsNvt5nvJ6BYxtBJuCat4UJ3uqNzKMMg2nGSyo1ZK3QCCWus0kD7LBWmtfw1AKfVRYPosj/VecNzoECm1io6tuK0y3Py4mLjX67GxsYHb7TZzfd555x3Gx8cZHR015UwRY6pUKqysrBAOh42IUyKRMB5CKpUy1ZqXX36ZW7dukcvlTKJWhqJLnkRKnt/4xjd455138Pv93Lhxg42NDcMGFsPS6/VMbknK14FAgPX1der1Oi+99BLFYpFYLGZu3EQiwcbGBrVajf/4H/+j+Q1ELlKaB5vNpqnUyO8nokyrq6tks1nT+wOYfIOwgAHTbiDejmwLGE9H634q0eFw0Gg0zPtaa1qtFrFYjGAwSDqdNip4whyORqN4vf2RtiK7ubi4aHhE0hEdDodNl7Uk2Le2tshkMsbQBQIBVldXiUaj1Go102oQDAZNwtnn8zE1NWWqXDI98lnASUOkt+jPJ3pofMiHFYcFnwZd+mazycsvv3zk/J/jYuLt7W3efPNNtre3jdr8zMwM09PTBAIBs10ymcTpdBpd13Q6TSAQMB6F9OM8ePDANBrW63USiQRjY2PEYjHW1tbMdiJyVKvVTD/PysoK9XqdUChELpcjHA6TTCZxOBzG7Xc6nczNzfGlL33JDBAT2rxIRornlk6nuXfvHna7nfX1dZaXl5mZmTFGRxonBw1uLpfj1q1b3L17l16vZypGnU7HGA6Xy2XyKBLKyLYOh8PkLCQvI5KWMjRt0JMUj0YMrrRWSMgm8g1SvYnFYuzu7hoW7/b2tuH0TE5OHmgkjcViRsjqnXfewel0GtGtu3fv8vrrr5skb6vVMv1Qco0I10XyRPPzR2vxD2NP0kkNzJeB31JK/QL9XiSjE6O1/senv6zH42nPRer1eoZDIc1rlUrFVGlkwNggHhUT/+7v/q7p2dna2mJsbIxwOMw3vvENstksly5d4ju/8zvx+Xxcv36dWCxGMplkdnb2wPAuKXtOTk6SyWRMp7HwJ7TWuN1uxsbGWFpa4u7du4RCIZRSPHjwwHA4ZJbz/Py86aCWWT6imn/z5k0CgYCpADkcDiKRCF/72teo1WpcuHCB6elp0wldrVZxuVwopcysacmFiOSDPMWF+CY5mkKhgNb6wG8qRgUwPBZpNRBPS0KjXq9ncjBOp5PLly+zvLxsSHXCcwFMpUuYsRJ2CbdGGhkDgYCpMknVSoy+hNAjIyOGwfyH/tAfIpVKGcKelPgnJibY2dkx7F0RIQcMl+UkGLaZ5XByA/NJ+ryXTx96XQNPxcA87blIUgGRSoo0042MjAA8ZFxkTIfIIkg+QbC1tWVmFYsEwdjYGGtra2aYu91u59y5c8zNzbGzs8Po6KgJKebn5ykWi6RSKdxut7l4hQQnxC+RNbh06ZIRclpcXDTTE2U0qhDexsbGTA5HvBS5iNvtthkxIlyWTCbD1tYW1WqVa9euEQwGOX/+vGG4AuZmrdVqxriJEZA8SbfbxefzmbEoEtIM3mzicQh9X/p2xJBJkt3tdpuJCOINLi8vmzYC2ZeEWeFw2BAXpZKVSqVoNps0Gg0zx0jo/hISSR6o2Wwa6QfR7f2+7/s+wxdKpVIm4W+32/nt3/5tk3frdDpsbW0xMzNjzql4mhIiyZoPYxjK0odx0l6k7zzrhTxrkEpRtVolm82Sy+WYnJyk1WqxsbHBxMTEge339vbMvKBut8vnP/95Ixg9OTlpnlpyo+Xzeb72ta8ZHdh2u23IbePj46ZaJcdcWlpibm6OWCxmBq6nUimjZifzld1uNwC3b99GKcXY2BgbGxt0u10zUVDyPtJwOD4+bvguhUKBkZERcrmcyU/MzMwA/XL5ysoKe3t7VCoVw2GRsRnhcNhUaKB/80m+SXIh3W7XUN5rtZrhnRwFp9NpqkDCwK3VaiY0lXzKYBJXbjoh5El5WxLCIjQuDZdiCKQNQ/hCMmlRFPLEQBUKBQKBgFmbhDkyJlZrzejoqOGw+Hw+bt++bYyP9FBNTU2xvb1tftuTDEobhrL0YZy0F+nYQO60NXmVUg7667IDdqWUB+horY++yt4HHBXb+v1+46LXajUjbfCop4uUSm/fvs3W1hbRaJSNjQ2azSZXr141x7Db7Vy6dInNzU22trZMr408kUdGRsy+pDEwmUwaVfpsNmuYul/4wheMNKX0sUh5dmxszJDnstmsEVPa3d1lbGzM9CYFAgG++c1v0m63TQlVZB2lU1lK1pVKhXQ6TafTMWLY8t7ly5eJxWJG6jKXyxnRJgldJJEquRWh+w9WhA5DBL/F8xJtGjEq4pnYbDazRpnZJOJQkvwVSQlJ7ArBTnhI4nlKzk3CNmmKFEMjiXC/3290e27evEmv1zMtFcIslk52CalisZgRpMrlcly5csUk91utlvHqDudYhqEsfRgnDZEepc972pq8fw346wN//yDwN4DPnvJxHsJxSbKjYls5eS6Xi09/+tOGgelyuZidnaXT6RwQ345EIhQKBdbX13njjTfMU/ncuXNsbGzw3d/93WakxtLSEi6Xi/HxcdPTIzff3t4eb731Fqurq2xsbLC2tmYmAz548MBc8NFo1KilCQtWZvbE43FDVisUCkZ4ye/3G5lJKdf2ej2+8IUvUCqVjGSC6LTU63WazaZJCgtPQ7q1nU4nTqeTWq1Gp9MxTX/CgYF+s58QDIUzM9hTJFUiCcMk0amUMqp1fr/fJLjr9brhBMG3wigJvySfJKHGIBdHfmNhRktPl81mMyLfpVKJfD5PqVQy+S5hKUtJW+ZYNxoNIyg1OTlpyHuZTAa73W5Es1qtFh6Px/RtSVVrYmKC8fHxA/m8Xq9nvCg4yOYetgQvnNzAHE5bTwA/zhkwebXWn+V9MCZH4bgk2VGxrUxRhKNP7u3bt4349mDIsry8bJ7KUmFZWFhge3vbVA6kHC0XpnTWinTkm2++CfSTnPfu3SOTyfDSSy+xvb1Nr9czhC+p/Agxa9CYCPvW7/eb/Mvm5ibhcJhAIMDMzAy/+qu/anRQxP32eDzs7e0Zpmyj0TC5B2ka9Hg8JmektTZKdEtLS0SjUSOiJE98IbGJmhv0y8mhUMiEL0opY5QlGSr5FVmbGLLB5K/kbgCT0JUKkXhNLpfLSEcopYyhFRmLj3/844Z3I8ZDPErJ9YhhHRsbO5D/abfbvPbaa8zPz5t+MklmT09Ps729zdzcHJFIxOjUiFFOJBIHGODH5VgGCw6RSMR8/6ed4IWT52DWD720rpT6E8Cb9OdIfyBw3Ak8iciT3+/n3GiSQ3oAACAASURBVLlz5mKQmzydTpuLV/I10uUs2iu9Xs/oyW5tbbGwsGBumEQiYWYyi+GSxjZ5wgsFXillNEckTLLZbCSTSZOLkIbBZrPJCy+8YDqwM5kMPp+Pra0tY/yElyK5jUKhYMIJmTfU6XTweDwmBBQOi4Qr0Gc5SzPm1taWSa6KARIujBgAt9ttDI+EgWIobDabaRGQiQUiXC75LfFajoIwgEOhENFo1HgP6+vrVCoVer2ekWaQBtFkMsni4qLpZxr05GRigCgDSjgVDoeNEQ+Hw+Y812o17t27x+zsLOFwmPn5eeO5vPPOOzz33HNGFFz6jwTHXYeDBQe5ZodFDPy9DF4LAU8/yDtFHHcCB2PbwRZ4ETGSz8G3nho2m81UejY2NhgZGTHK/JIfcTqdzM/Pm8qLVHzW1ta4evUqk5OTrKyskM1mWVxc5MaNG0aFTrgZYmSEJVoqlahWq+RyOXK5nKHGC21fXlNKcePGDXw+n/EEms2mCQ38fj+BQMCIWlerVWPY2u02+XzehCLNZpN2u22Er7vdLpOTk6bCVK1WjcEYbEIc1HUZZNZKmCQMWbfbbTqoJZcinplUmuT40n0suaajDI1U2DKZjOnVEqMmXpBU4tLpNJFIhKWlJfP7yL6li1opxcTEhCHh7e7ucunSJRqNBhMTE6ysrLCxsUGv1+OFF14wFATh5tRqNWOgZNSMEDYHcVyOZbDg4HQ6h0oM/KRJ3l/iYA7GB3wK+OWzWNTTwnEncJByPdgCLw1mgUCASqVixnvG43EmJydpt9sUi0UWFhaMfko0GqXZbFIqlYxBEGlFUbavVCqUy2UmJibMWAy5UVwulyHz1Wo1I0dQrVax2WzGgEkznwxpF/6GhC+iDBePx03FaH19nWAwaCQSRPBacg6yXbPZNA2AYnAl9LDZbGacirBupYQr4RkcDF1sNhtut9usVQSmxOhIUhow+Rno52VEG0b2Jx7VYKvAYXQ6HdPxPrh+2V76iHZ2dhgZGTFeolSsKpUKSilmZ2dNvkYMcigUwu12m7zM6uoq4XDYjIT1er186lOfwmazMTk5ya1bt9jb2zP5n2q1SiaTYXZ21tAVHjexc7DgMMjofpo6MIKTejAPDv1dBX5Wa/2FU17PU8VJejcGwyihsUPfTZV5NqlUyrTtK6WMZKNUJGKxmCmRikq8uOWiU7u2tmZKwvV6nbt375qxozMzM0YYWzgjQgKTaYRSQZGQRoS2JaEqimyDnoWQ7CQhms/nTaey5HCi0ajRfk0kEgfySZKTkXAolUqZEETKxlIGHjQU0pgIHDAsovFyuEwtnxeJhcNeitxskgM57lxrrU3+RAzZoLC30PLlN5AOciHUSYm7UCiYJsZMJsPFixeJRCKm7O71ek1SeGdnhxs3bvCxj33MECOFnOfz+VhdXSUQCJhcjEypPMwKP6p6JJSG0xY9ey84aQ7mb5z1Qp4VyLhVqVJIRSYWi6G15vd+7/e4d+8eU1NTZr7wlStXgG91XMsNIZ2+EuaIDowolomokoxFldEf5XLZaJzIoC7JDwzKKw724kiZWv5fvJpBaUsZ3dpsNgkEAoyNjRnPS/piisUiPp/PlL5lfrLc6FprvF6voenLU9nlcpn80HGlfOBAtUcEuiXEEsiNL7/hUfsY/O8gpGo0WPYWcqN4LmK4RVhbWMTS1CpNh8lkkkgkYjwcaa+Q6tHCwgKlUok7d+4wMTFhytCSTxOm8+3btxkZGeHWrVuGE1QoFFhZWeH8+fO89dZbprH1qATu4QfjysrK0BDuThoi/QDwttb6jlLqIv1pAl3gz2qtP5T9SZ1Oh83NTeORSPOh8EXC4TC7u7uEQiHW1tbIZrNmGLvwMSSBKRMAhbiWTqfRWpNOpw1rdJB0JqLSPp/P0NlF+1VeE1KYSAkMVnXa7ba5YYWMJk9y6eWRJGM+n8fv92Oz2Wi320b1TTgwUlUBDMtVtpM8hdx80i/1KAw2KYrnJO0Fg6zbwe2PwuFEr+R35PcQyG8qnoZ8T/lbPJuZmRleffVVvvKVrzA6OkogEGBzc9N4CsLDEUlO6T6XHNvdu3dJJBLGGMg1E4/HjcCX6MLIeZIxMOLd3b9/n2g0isPheKRHMkyEu5OGSD8JfGL///82/epRBfgZ4PedwbqGDlIxunfvniFo5fN5oxqfzWaBvpvqcDi4e/eu0VMZHx83nopc6OI2p9Npc2M2m03DFxEOhpSWZfaOMF+r1aqZjyw3k8/nMzeRhCmSlBUPRTRjxMOQCky73SYSiZiwSZKZsq3Q5MWg7e7umiZF0V8BzHer1WoP5UCEmHYSSOl6UBVPwsDjjMogDh9HvCvxWCQ87Xa7Jmciw93cbje1Ws0Ig8/Pz/PCCy9w8eJFlpaWDM+o0+mYfqZ6vU4gEDC/640bN3j11VfN1MaLFy+Sy+VQSpmZ2JLLEoGvVqtFqVRiaur/b+/NgxvNz/PA5weSAEjivg8C4H10c/qY6RnNWDPKlDKRVtqV5U3iZO1EkbfWiuMtl8vOOpfLcZS1EiequOJUxUk2WTuW5cSJvKs4cWRXnLWU2JrRaA71THezSXazeYDERZzExQMEfvsH+L7zEQOQYDdBguzvqWL1wY/gh+N7v/d43ufxY319nYONxWJBKpXC4OAgNjY2PsQSb8RJCXed5NC0G2CcUsrEAav2ZdS1YSoAUqdyFhcAjQp27733HpLJJLa3t9kcfmRkhDOPzc1NWCwWFAoF3LlzB1JKDA8Ps1vh3t4estksX/xbW1vcYyGVMwoipBFCFyxdYBRA6HhqlNJURVmKkVYN3aWllMhms6yCR0p6dNER41Wn0/EFRz0UJQ+GjgMO719ZrVZuMlNmROdCNh/HoVQqsa6KRqOB3W7nkq4ZlGPvVqASiZrgdN5EbqNszGQysfZxOp1GOp3Gd77zHW5EkyMByWVS893tdrPfEm2Ik02J2+1GPB5n94Vqtcq7a263G5/4xCdw//59LC0twWQy4fr165zh0mdpaGiIz7EVTqoD08klyXYDTFIIMY66ytzbUspdIcQAAHHMz10KUEeeShiNRsPK+iRpIKVkHsXW1ha8Xi9zR4jtubq6Cp/PxxkBNVapkUmjYrpoSQmOLopmoAYvTUUo22kkmJEAN7kNUuNQqaeiVHcjUOZCQYKyHQAsxKRs4FITl6Y51Dil829WuhyV1VDDlXgnRwUPOh/K8qifovwZKrsouNDrTz0L2hmicoV0XdbW1lCr1TA1NYW9vT1EIhEez5OSn9vtxrVr19gfiiZAhUKBBwCzs7OIxWLY2dlhETGld7hGU7eJ7e/vx9raGpe2xWKRdZ8HBwdbvgbHoVm20sklyXYDzC8AeBf1vsufP/i/Pwng/VM7ky4GiW/n83lotVqsra3BYrGgWCxifX0dPT09cLlc8Pl8SCaTGBoaQjqdZodEGiNqNBreziWuSLFY5Lsn8U4ok6BxKwWvVlA2TluVD3SBUrCgEoFKBgA8UWoEyTEo+yMA+DlRA5gU5Wh6pixvABxaI6DvE5fnqIxGuaDYKsBQY5iaoZVKhVnI9H0qX5Q9nr6+Puzs7KBWqzFJTjl5q1QqCIVC2Nvbw/r6Ot555x3eRVN6HlFzu1gswuVyMVGP5BjK5TKuXr3KvCISmFpfX+f+jF6vx/z8PC+b0qSROExSSu7rUWZ10rKmWbbSyZ5Nu1OkXxdCfO3g7+WD//4u6kZslw6N0gq1Wo1ZkplMBul0Gm63myUNyZQcACu7AR9Q04EPvHpoYY7qcaKbk3Xq3t4ef2gBtFVK0O+iZcZWGQFNX2iipFwiPK68aMYpoeYxCZGT/AP9P6m20QVCMqAkSkUN1nafI42dm50j9U6I0q8UiQLqAYAWCJXnr+TX5HI5VCoVXhVIJBJsDkevFWnFOBwO7nkRZcFgMMDv97PodiaTgV6vRyAQgMFgYIEpkj6lbJPYwoODg7Db7YhEIjyRMhqNnOnS6DqZTGJhYQFarfbEZU2zbIUa0p1YkmybyUuB5UCjV+AS91+U0goAWEM1n8+z5sr6+jqcTid6enowMjKCgYEBHmPa7Xa+wOhiIC1XYuHStKhcLsPj8WBgYADZbJbJcCQhSZvA7YgOHXehKgWzaYJFP0d/P4o7ogTR9am5TKC9ITqGekHKx6cAeNS4uhmOOi9iGwNgKU7gcNbT6jWkngz1s/b395HL5ficbTYb+zFRGZtKpaDX67mpLYTA1NQUkxOXl5eRSqV4ADA7O4uPfexjePDgATOn5+bmMDg4yCLq5Gnk9Xq5BBsYGGCXiZ6eHubIkBf4ScuaZtnKSXs2J0G7Y2o/6mb3HwNgafj2aW9TdwQn6ZTTBIWcGnO5HKLRKO/b0KYyGbEbjUZYrdZDKXosFoNer4fFYoHFYuG7Aqn107oAUA9gNAqmNFipYdKuotlJQOUCAFZsI4W5dkBlDskIELeEFvWUWRSNsonnQ7+7Wf+FsptmwYQ4MjTqpv5TI5SBS/naNfZ+aGWCgiUxhonsRz0Ps9mMSqXCBmnUIKeMMZFI8B4arYUQnWBvb489tl0uFywWC2KxGFKpFAc/Egun/s/g4CAmJycxMDCAR48eQavVshMnkfuovPL7/bz71A7OWtKh3QzmXwAoo953+e+oB5ovAvi9zpzW6eO4TrkyAFGJQiURCQAlk0k+jrRfSNuWRKEpA6BlQ6fTyVajyoBCi4MajQblcpl5MsQhOWvQOLud7IVQqVSYa6OccFH2RqCxN60MDAwMtJwGKUfJzb5P2cnu7m7bI+9moJ4JAJ6+0fun1WoxMzMDACzmTop5RIAk4W/a7O7p6cHAwACTKXd2drC5uclBLBAIIB6P846aMmuIRqOYnZ1lVjQAeDweDtYAeKK1uroKo9GImZkZxGIxxONx/l476GS20gztBpjvAxCUUpaEEFJK+b4Q4n8D8AbqpLtTgxDChvqG9idQL8P+lpTy3z7p4x7XKVcGoN7eXphMJp4CWa1WZlEuLCwgn8+zpixQLwUoSBBpjlJnupuSrWytVkMqlTp08ShV3E5ygZ8WiIfTbimmBK0lkAAW8GEOCgUuIQSMRiN2dnZgt9uRy+V4AqWEsrRsBDVgG4NYKyjlOJWgvpBSC8ZgMHAJMjw8DK/Xi/X1dc5KaIGwVCohl8vxjYZU/4mKoFwRSaVSGB0dZZtZkuDY3t6GzWbjKV61WsXY2Bjcbjd/FmliSa8p9XjImjgQCKBSqXSFLEMrtBtgqqiLTgFATgjhBJAH0ImVzV8BsAfADeAGgG8IId6XUs49yYMe1ylvDEBkRUpUdxp9kkg1aXrQB4HSV+o5KKUZvF4vy2DSSFpps0EXC3kznwfoIjtp9kTPo1W50nhsPp/nzIGa2spgS2VTq8eivSHgg8a08njKQpRMZeUiI1HxqelKqxVS1oW4yQL3ueeeQz6fx9TUFJ599ln2nDYajfje976H3d1dHsmTEp7FYoHX64Ver8fq6ioMBgN/JmjSRs6Pdrsd2WwWNpsNk5OTnCFpNIfdKshBgD6z1PTtBpZuO2g3wHwXwKcB/AcA/wXAvwewDeCd0zwZIcQggD8DYFZKWQTwbSHEfwLwOdQFrh4bx9WeygBEK/PJZJKnD7Tx+sILL+Ctt97C9PQ05ubmuIwSQvDuEY2CyVA9n8+z0BR9KIGjd2bOGkTpfxzQuPk4EJ9FueTZjHHbCnq9nhm3ymkZSW6SWwJQf+/oYiaxKiIkUpAhSU4asdO06MUXX+RN6IcPH0Kn0yEUCmFycpJN1/r6+lAsFrmUczgcbGhXKBR4050cNUkMbGZmhkfoer0e4+PjPNZWjuNbZSXKxcdukcU8Cu0GmM8BoI7oTwH4PwAYAfzyKZ/PJICqlPKB4v/ex4fdDE6M42pPZQDq6elher9er2cqPNlU3L17F3fu3GEmJo1niZRG2Q6l8rQOoByLdhsokLZTdhBoGkIlUjvQ6XTsI0Q7Nu2AJB2It2IymQCAd4YcDgc3SGndAQA3nkmOk3gltPhJi5RKGYrt7W185zvfwZ07d9jJIRwOQ0oJn8/HN4n+/n4kEgn4/X7OmgYGBnD37l3s7u7y6DmbzcLn88FsNrPQ+tDQEILBIFvwptNpzo6NRmPLIcRZ91CeFO3yYHKKv2+jvpvUCRhQ979WYgv1YHYI4pR9kZRvHGUzbrebOQgmk4mVyfr7+3nyQlOkTCbDzE9iy9I6AABuhrbL+TgPnCS4AIdV09rJwkg8irbCWx3TmMUQmxUAlzcGgwFGoxHJZJLfG/LOJtarsj9ksViYq9Pf3w+v18vuB5TBmM1mVKtVLC4uMiuYtJTp8UjZbmFhAbFYDF6vl6eK5MKg0dS1goPBICKRCJ599ln09fWxdrAycOzt7bGN7Pb2NvL5PL+WJw0k3ajL2+6YWgfg5wH8EAC7lNIshPgEgEkp5T89xfMpoq6Up4QJwIdudfIUfZEa3xir1YpkMol8Pg+PxwOfz8cf5rW1NbjdbiaIEX+B3kjS41AuKRJ/4qgGLmU759HkbReNGQ5lEkdNfQjUd6CeSLMPPpU5NAJXqv1Tb4yU56gHYjQaOaMg4XCLxcJlSy6XY6M0IqvZ7XZMTk5yc51sdC0WC8uN2u126HQ6RKNR3o53OByIx+PY2NhAf38/W5fQ+sHm5iYLgVNGaLFYkM1m2deoUCjAarXC4/HwsujU1BQ2Njb4eRF9/6ToRuO1dsPbPwYwC+Av4ANluzkAP37K5/MAQK8QYkLxf9cPftepgzgMb7/9Nh49eoSenh4Wp9ZqtZiYmODUlqw+PR4PM3VJs5aW8qjeB4ArV66wmwAp1yk1RhpBjNjjFtnOA5T6N+uz5HI57t+Q5xL9DP2p0+mYjEfGZBSM6DjKhoiRbDAYOKgYDAYMDg6ylQkdT5vO1A+hsotG0ESWo6Yy8Vb29/extLQEo9GImzdv4oUXXkAwGMTAwAA3WX0+3yFpB2oULy8vMxeFAhJZyE5PT2NkZARut5u3wf1+P2sR07JsIBBgeQcAvJG+tbXF2+qPs290YY3XAPzPAMYPxtQ1AJBSRg4IeKeGg8f/OoD/Uwjxo6hPkT6LD6QiThUU8SmNJsW2aDTalCVJfRQSnSKhbPrwE5elWq3yej1tTFNZRUpxZHGirOdputRtoIucek0ADpV7NMXp6emB0Wjk3SIpJY+CK5UKN2lJLpSeu16vZ21dClR7e3t8kVFDlzgq5ChgMpkQCoXw6NEj7O/vY2BggOU23W43dnd3EYlE2D2SGsz0d5osvfzyy5ibm8Pa2hqXNsViEQaDAXq9Hk6nE1qtFrlcjsfZ9P5tbGywJlAqlUIoFGIdHZ/Ph5WVFWi1Wvh8PgghsL6+DrfbzVOgYDDI0yManVMP5qToJh0YQrsBZq/x2INRdfrUzwj431G3o908ePwff9IRdStQxDcajchmszz+oyW1xjdKr9fD7XZjc3OT1/YjkQhPmYgdSopo5FdNWQkJFdEKPnlKk+ARSSV0E6hnoNFoMDw8jGQyydo3yg1p2gankTyxbik4UM8EqGcpxWKRN9EHBwfZ5J0mS/RaklYxBTCSbqjVaujp6UEkEoHBYOCSAADT+fv6+lgXx2azHeIZkRogqb/t7+8jFAqhWCwiHA7DYDBgYmICS0tL3LQneUuSPh0YGMDMzAzMZjOCwSDW1tZw//596HQ6jI6Owmg08s1pfHycMx+S4qAp0Gk1bi+y8dpvA/iKEOKnAUAI4UV9gvTvTvuEpJQZAD9w2o/bDEqDcpoemc1m2O123lRVvlEkED08PMxSjiQCRRdMb28vexmTwhmNrHd2drikIBU0Yv4qqfvngVY7SDTOBcC9CCLHkbQENbCllAgEAocU+onB3N/fz/5D9HwLhQJPd6jM0Gq1zNKlstNms8FsNjNPiBwjJyYm2EWBaPY0BaIshbbSlYFO6eOk0+nw1ltvsYZLf38/r034/X4MDAzw/tDOzg7W1taYL0Tv5czMDE9/HA4HU//JJ4nWCqrVKiYnJzvWF+nGCVO7AeZnAXwZwF3UHQUeos7gvdBavcqIPzY2dqjr3rhGkEgkWK2fRJoCgQBKpRIMBgOXWLSFS2r0mUyGRZ2pMUzi2GTLQTs91OBs3JkhGcrzGHFTmaPT6WCxWBCNRrnBubS0xBez1WplFuzW1hYMBgMLWpE2SyaT4VKRMhESICfCHu380GtBVhy9vb0IhULMmq5Wq1hbW4Pf78fQ0BDLK2xvbzP/hTbVaWPZ5XLB7/cjFoshHA7DaDRyqUfvnRACo6OjrE88NDQEKSXS6TST3La2tlAoFGA2m1lKg3RjHA4Hy3Vks1lMTU3BaDTyjWd6evrM38PzRLtj6j3U+S8/dVAapeSTLIJ0CdqN+MrufK1Wg81mg9frxTe/+U2eZMzOzuK9995jTRS/349CocD2ryTTQOsERJ8nbgZt89KHnO621Dil9YPT6tE0joOVj9vf38/ZyeDg4KEGrXLCptPp2NtHo9HA5XKx+j6p+lHDkiQ5qcdAzF8iuxmNRnZfoLKMLsytrS0MDQ3h+eefR6FQwNraGqvwG41GlMtlOJ1OlhUl6UsqZ4LBIDdbc7kchoeHsbW1hZ2dHS69gA8EwCcnJ/n7RM8PBALsDEFlr9vths1mQ19fHw8BrFYrb5jb7XbY7Xa2j6WF1qcJRwYYIUQrgklAQcUOn/ZJdRsau/MAmAEaiUS4p+Lz+ZipWavVEI1G+U+j0chUcVK+I+Id3b37+vpgNBq5aUrbzXq9HmazmX2F+vr6Dm0Mtyux0C5oAkLnSIGQFNxyuTotamBggHtOgUAAoVCIRbaoPKFScHt7mxuflNXQ2JYyA2q6khoeBR6NRoNAIIBAIIA333wTuVwOwWCQt5rp2FgsxkGRtHeoxKI+G1H3fT4fN4RTqRSXbTqdDqlUCm63G7OzsywslkqlUC6Xsbm5ySUa/TwFumeeeQbZbJY3p6emppBKpdi87bjRcTfyWJ4Ux2Uwq/hgLN2MCy5xQeQangQ0DSqXy0yKIiGi/f19DA8PM1mLxIo2Njb45/r6+pBOp3n0SjIQpKRGF5tOp4PJZEKhUOBMiTgV8kDwularcQ9AafEBtCeqTXyVo46ji4e2pCmrIu8fpXui0WjEjRs3eBQbDodZlU85utZqtcxPoWkalVaxWIyDAjXXabOYRsXvv/8+28PSRU8mdm63Gw8fPmQ+C2VGxD1xu93ssfTw4UOMjIzA4/FgZGQEtVoNDx48YG5OtVqF1WqFTqfDgwcPcOXKFXi9XvYo1+l0mJiYwO7uLmKxGHQ6Ha5evYqenh48evQIHo8HMzMzSCQSWFxcRDweh8fj4VJKac5HzWrlFn8rp9CLiuMCzB0AegBfQd3FMdrxM+pCOJ1OJJNJXk5bWlpCb28vhoaGuME5MTGBQqEAh8OBnZ0duN1uGAwGfOMb3+A0nHaWgsEgZyPKJT2ldCWNWWmhj1wHaNJkNptZPY7Mzmh6dRTI4P2oAEOeRNR0JfkBUqDT6XTw+XxMyd/c3OSgSkxakt+kgOrz+TgwpdNpVKtVNrjf3NwEUBfapoYseSjp9XqYTCbkcjncvn2b1eHI1lVKiUgkwg1h0kPu6enBzMwM0w4KhQIePnzIgTmdTsNms2FiYoJpAgC4cQ/UbyL3799HT08PXn31VS6paS3g3XffRTwe52D4/vvv48aNG5iamkI6nWam7/7+PhYXF9na9u7du/B4PLhy5cqh8pvM66mc7gYey5PiyAAjpbwhhJgF8HkA3wawAOA3AHz9YGXgqQCJD01OTkKIuqczrQaUSiUUCgUMDAxgenqaLWOJEm80GpHP53kTmzIDClZU09MFR+poRBmnxTbKHEg8WqkMR2WKPBDebtTOVYIsO47SfqGMSVki0bJgKBTingdxVUiagB6Pljz7+/vh8/lYG8Xv9yObzcLlciESibBFLgUHKpGoeb6zs4OhoSEOYGTRSwHXbDbDbDYjGo3yOZOkwvT0NHQ6Ha5du4Z4PM6qehqNBrlcDtPT02yAptPpsLi4iN7eXuh0OsRiMVaWo0Y9lSqUXRSLRWxvb6NarSKZTGJ/fx9+vx+RSIQVDWdnZ+FyubC5uYn5+Xm4XC52dyBBcGX5bbVakclk4HQ6eQUlkUhc6JLp2CavlPIegL8mhPgbAP4UgB8B8CtCiI9LKb/X4fPrGlC5s76+zvtFxJ+oVqsIBAKYmJhgwelisYh4PM52rcomLgUU2rEhdq9Wq+WshJrFlDVQ+kxeRfThBg6blSl1UpSZCo1fqewg6nwjvZ9Kn+3tbSa2keobiU3v7+/D5XLB5XIhlUpheXkZmUyGdVyo7JNSIplMsnZsIpGAXq9HX18fHA4HUqkU4vE4+vr6YLPZoNVqkc1medS7v7+PeDzOlH6Se6jVashkMrBYLHy3p4BNWU84HGbv6KGhIQBAKpVCOp1GsVjE0tIS7HY7k/yIwDc1NYV4PI5kMgmfz8e+RxTsafIYjUYxOjqKnp4e3L59G06nEx6Ph2U3SLOZmvXXr19HPB7nlRGr1cqBgzIYOg+iA5BDRTdR/0+KtjV5AUygvtX8EoDbALIdOaMuBZVJsVgMY2NjHESGhoYOTSUymQxmZmZQKpXwh3/4h9Dr9bz0Ru6JtFhXKBT4Ai6Xy4fcFUlgmoIPkf4oHT/KG4jKEipHqESj4ELlWE9PD1Kp1IcYxERoGxoa4kBEpEAhBMbGxuDz+XD37l0sLS3xCJpKKgCc8eRyOd4hIq3hYrGI/f19trwlRX+auoyMjMBoNGJ9fZ0zEyIt0oSJ6ABE4KOJGw0fqLGr1WoxNTWFR48esbh1tVrF0NAQZ5vKHtjIyAiSySSWlpawtbUFp9MJs9mM+/fvM2ubgsyjR49gt9sxPj6OSCSC9fV1jIyMMEVhZ2eH5SztdjsAcBnU+FilUglWq/VQltJNFrCPyGZfFQAAIABJREFUi+OmSDbUFxw/j/pG81cBfOxpmBw1gsqkK1euYGNjA1LWfaMnJiZ4TJtOp3Hz5k1oNBr4fD643W5uxBoMBmYKk9QAjUWpNKCygo4nLojD4YDf78f8/Dy2t7exu7sLk8mEeDx+iBtjMpn4LkgWtWSaRsLSSgsM4qIobUSUBDeyabFYLDAajTCZTDCZTNyXyeVyyOfzKJfLvEJBZQzp2dLEiLguer0ehUIBpVIJRqMRIyMjzIzVaDT4yEc+goWFBSwtLbFlLo2JqdSx2+38+2gDmV7vbDaLYDAIq9XKvtC0BU/SCrRfFgwGkc1mkUwm2RwtHo8jGAyytnK5XEalUsH8/DxeeOEFziRIvlKr1SIQCMBsNmN/f5+3qa1WKzfBKesgB8fGkqdVVtKN1P+T4rgMJgpgBfXA8ubB/42LugkbAEBK+c0OnVvXgcSoaBJA6bnBYMDu7i4CgQC0Wi1u374Ng8EAh8OBzc1NNk8jzgR9UIQQsNlsbHtCEyG6Y1ksFvT29iIcDrOsJWUGZKRGDGD6ezAYxOjoKPtVX7lyBUIIhMNhDAwMsLE6TWzozl2r1TgromyHyjLamu7t7YXRaEQqlcLu7i42NjZ4xC6EYGdDmpblcjlWdSMO0fDwMLLZLE+CKFMiU3khBJLJJMLhMLsdJJNJ9Pf346Mf/ShrFhNBbmBgAPLAg4hUCMmdIZ1Os0WrRqOBx+PhPSej0YhAIMB9HpI6XV9fx+TkJPR6PR4+fAi3283ZHu2qlUoluN1uzlxpdG21WnlXq1nWcVKmbTdS/0+K4wJMHPUp0hcOvhohAYye9kmdNU7CP9jb2+P6mhTmLRYLN0/Jk4fo8dSQ9fv9vLNELgS9vb2wWCxsw6osR2jkTPV/NptlMhqVQHQcMViJIXvr1i309/ez1WmpVOKdHGqeAmCpBWq0kj8TsWXNZjNCoRCy2Sz3kGi5L5vNcv9J6T4ZDAah1+sxODiIt99+G8ViEcFgEMPDw1hcXEQqleLX3Gw2MzkvFApxBkF7WbSaodPp4HK5cOPGDXg8Hty7dw9SSmxsbHDPhyxZa7Ua8vk8gsEgy0PY7XYUCgXOXFwuF2w2GzY2NrC6usrLl7RvtLy8DKfTCYvFgt3dXXaGoAyUbhB0wZMcBK2cAGCtoGZZR7uft26k/p8Ux02Rhs/oPM4V7epobG9vY2xsjMlu+XwezzzzDNxuN5aXl9HX14dsNotQKISlpSX09/fjmWeewcbGBnQ6HQYHBzE0NASHw4FQKIRqtYpYLIbJyUlWVCMLk0wmg2QyCQDM9C0Wi8yhsVqt6O/vZztbkgGQUuLevXvY2dnBgwcPmCdSqVSwtrYGs9nMezVbW1twOBy8V0VlAQU5j8eDvb09XhMwmUzY3t7mTMHhcCAWi8FisUBKyfwRAFhZWYFOp4PNZsPU1BT29/e5VKGLyWw289j5ypUrWFxc5FUCMny3WCwsjUDm8C+++CKsViveffddfPe730U2m+WsamBgACaTiUWmcrkcisUib3k/99xzMBgMiEaj2NjYYOZxNBrF888/D5PJhIcPH/LzqVar7D9Nu2oUWKjpW6vVEA6HEY/HEQqF2H2gVdZBlIdyuYzl5WUeWV+0CVE7OEmT99KiXR0NEqkG6nctj8fDHyCql3U6HZLJJAwGA6SUmJ2dhdVqxR//8R/DYrHwxnE4HOa0e2pqikuBO3fuYGdnB36/H5VKBfF4nIlndAGRhqtyQkX9FKPRiNu3b7OcZSaTwcrKCjdCqaFLTVvStw0EApwBfPKTn8TGxgaWl5eh1+uZ5k5TpWw2y/KV1Ch1Op3cs6BeUKVSgd1uh8Ph4Iucejw0aRkYGMDQ0BAqlQomJiZw//59jI2NIZVKsaCT1+tFKBRCPp/nTev33nuPFxuBui4NBUBanCTL1t3dXd6OJrfEjY0N2O12ts+l0TRlnzRC7+/vx/j4OEZGRppmGslkkrMjWrg8LusgUh3tsdHI+qJnK82gBhi030yjYKLVauH3+w994JR3NfKvLhQKCAaDiMViGB8fZ04FsXwpU9jd3YXD4UA4HMbU1BRcLheWlpawu7vLfQpqzBLRjvaanE4nj4Pn5uZw7do13h8i32wyaKd1hHg8joGBAc5AqOlMy4rU06FGsc/nw9TUFO7evctjZZqOUFnh8Xi4X0T7RyTjIITgkoGa3tTL2N/fRyKRgMfjYedMk8mEK1euwOPxwG63w+VyceM4kUjAaDRibW0Ne3t7CAQCrMtDUyWaUhUKBYyPj3OvZmZmBn6/n03R3njjDeh0Os4gzGYz4vE4rFYrdnd3YbPZWHOm1cX/OCJPg4ODWF5eZsIgjawvI7omwAghfgJ1js0zAH5LSvkjZ/W7222mHVUT0/fo+xRkotEocrkcjEYja7vu7+/zwp/BYEA4HEa1WkUoFMLq6iqi0ShT7mnKQl7L5FLg9/v57q3T6bivQhyYcDiMcrnME6Vqtco+POSySBq2VHKRZMXGxgZLN+7t7WF/fx8LCws8UaHjSQSdyjaHw4H19XXOukqlEhuIkYh6Op1GrVaD0+mEwWDAyMgISqUSIpEIVldXeWmwUqnA5XJhfHwcyWQS5XIZKysrMJvNuHPnDuvGUFOcgiTdIKxWK+bn52E0GnH16lVsb29jY2MDfr8fCwsL2NnZgdfrxeLiIkqlEj772c9iZmYGa2trWF1dZTZzIBBoaXFLlifxeJz1ZqxWa1ufN4/H86GRdeNjX4a9pK4JMKhPrL4E4JMA+s/yF3eimUap99DQEN5//31kMhmMjo6y3adOp2PhJuK3kIH7o0ePANQnET6fD9FoFDs7O9wjIYKfy+XC7u4uEokEHA4HpqamUCwWD42j+/v7MTIywgzScrnMNHwqxWivRqn9QvszKysrzJ0hTRtaj/D7/ZiamsLExAQePHjAz9Hn82FxcREOhwMvv/wyrl69inv37vFrTK/3Cy+8wEp2yWSSeybE1yGNWxqpE8OVgh6N9MnPKBwOs4SEzWbj3SMqKwHw7hFJSty6dYufMwWgUqmEhw8fcnbm9XqbvsfJZJKXKUnzpZ1Jj0ajaTqybnzsi06yA7oowEgpvw4AQohbAIbO+XQO4XHuJiS1SL0Ai8XCnsMkeLS5uYlisQin0wm9Xs99iUqlglQqhVwuh1wux4HI4XDwxZXP5/Haa6/BbDbjW9/6FmcsW1tb2Nvbg8/nw/Xr1znjeemll9DT04Pvfve7KJVKvPTodDpRLpfZX5q4MBqNBktLSyz0nc1meaTd19cHl8sFo9GIeDyO3t5eXhwkFq/D4eAShaZSVqsVRqMRxWKRx+o7OztIJpMYHh5GKpXiMslsNsNgMCAQCECj0bCP0L1799h4nn5mZGQEk5OTsNvtLOtJxmbFYhFvvvkmbt68iddeew2JRALFYhGbm5u8wkE9LWIwkxvBcbq49HkghrPSTO84HHdT60Z93cdB1wSYk+K0bUuOQrO7CTF7G4MOlROkgjY7O8u7NcSb0Ol0PBKmWlzpdnjt2jW8/vrryOVyiMViTE7LZDKsSh8KhdjRgPoh5XKZpS23trbw7rvvYmxsDDMzM7yMSGxhuvsSC7e3t5cJZkTzJxsPkjmgiQoA5s6QUHoikYDb7YbJZMLOzg6i0ShLV05PT2NqagqRSISb0dvb26z6FwgEWEz97bffxuDgIAwGA27evImhoSFeq6C1A1qKXFxcZLeH0dFRjI2Nsd0rNbopQIbDYVYpJIGqN954A3t7e3jllVewv7/P2sqJRALj4+Ps/tiqROokEe4ykOyACxxgTtO25Di0ups0S2EXFhYQiUTg9XqxtraG+fl5PPvss0in08hkMvB6vbxvZDQaYbfbkc/nEQqF2OokHo/D4XBAo9FgfHwc2WwW0WgUb7zxBvR6PVwuF/c0qBFstVqZuUtBhH6eyGZzc3M8nibKPclYEkOXPLmpD0Ks3uXlZabA+/1+aLVaTE9Po1wuY2lpCX19fYjFYjAYDNBqtQgGg3A6nSgWi8hms7h16xbsdjuSySQikQhcLhcLMJFC3tbWFm7cuMGi6fF4HG63mwWkKpUKvF4vHA4H3nrrLd4Bq1QqiEaj+PSnPw0AmJ2dRSaTwTvvvHNoGz2ZTLJGzeTkJKSUyGQy3ATX6/Xo7e3F7OwsUxGy2SwvUAKHs1nScz5qJP24uAwkO+CMAowQ4r+htTvj61LKl8/iPB4Xze4mrYJOKpVi2vnw8DD3OehDSik6LS3abDbodDqEw2FeYszn8wgEAlhaWsLq6iomJiZQrVb5cUqlEt577z2Mj49zal4sFrlp6/f7YbfbeQcmn8/jrbfeYskForOTej5d4Nvb2yiVSrz+kEwmUa1W4fF4YDKZWKiJLE8nJibw3nvvoa+vj8l2AwMD3CQm5vHDhw8xOzvL7NtQKMQynLQdnUwmmUvkcrngdruxvr6O+/fvs3hUMBhkz6KlpSXUajVmGFOTGwBT9UmgfWdnBysrK3C73bz2QLq/tIaxtraGSqXCREEAyGQyh6gIwAfZrE6nw8rKCjs/nnYT9jKQ7IAzCjBSylfP4vd0Cq3uJs1SWPIhNpvN2NraOnT3o8fwer1YWVnB0tIShBCYnJzkC0mv1yMej/O4lLZrBwcH8corr+DOnTuIxWJcjqVSKZhMJtatJe8m4ovcvn2byWvEGxkZGWFXg1qthldeeQXlchlAvTk9OjrKyv9UUijLBJPJBK/XC5PJxPtTDocDPT09HGgpEORyOc5U6IKh/lOhUIDBYEAsFsPi4iJ0Oh2Wlpb4QrdYLMzN2dnZQSgU4gXJF1988dB28vj4+KHXmZrelUoFsViM3w+j0QiLxcJrE729vYjH4+zFROxoi8XyISoCvX/9/f3IZDIsoXGRm7CdRteUSEKIXtTPpwdAjxBCD2BfSnnuZs7N7iatgg6JOqdSKfj9/kMizzTWnJ+fZ7o/TYRoY5hKgXK5zEpqZFxGezh2u52zlMXFRZjNZoyNjfHFQW6GpBFD+i2kMaLT6fCRj3wE+XweZrOZCXw9PT0YGRlBNBrllQQSsSYvJyklN2P1ej2mp6dRKpWwsLCAZDLJkxfShHE4HLzFTK8bqfIB9f2u27dvs8yFRqPBvXv34HK5kMlkoNPpuM+ysbHBXBa73Y6FhQWkUinYbDam+FM/LBQKcTlDzfPd3V08ePAAUkq89NJLCIVCKBQK7HdlNptZP3h0tPkGDGWztHNkNBovdBO20+iaAAPg5wD8HcW//yLqrgVfPJezOQatUliq4ZuBGqvU9yBKfG9vL/x+P49le3t7uTwhotzzzz+PaDSKUqnElh0bGxv41Kc+BZ/PhzfffBOJRAKBQADVahXpdJp3nchYnSj0t27dwvDwMO/99Pb24u2334bL5eJ+TyaTgd/vx/j4OCvAGQwGJJNJ6HQ6lmGw2WxIp9NsWAbUtXqff/55fp1GRkYOvW5er5dHv8vLy/D5fOy6UKvVcPPmTdaloekbOQnQflI4HIbT6fyQKpwym9BoNJydVKtVxONxlqVYWVnByMgIzGbzoV2i4xqqzfaPLkoT9jy4NV0TYKSUX0SXBpPTAr2xtFFM/JKenh688MILAMCatPv7+7hz5w4SiQRcLhdTyYeHh7G+vs57RsViEbdv3+YLJxaLIZlMIpFIAKhP2MxmMwYGBvDss8/CZDIx69bn8yGTyWB+fh5AvedQLBZht9vZ1TCbzWJ8fBxzc3O8J5VOp+FwOPj5kD4usWRzuRw3hKmRTVYhSqcCuvtTGXnnzh2Mj4/jxRdfZN+ldDqNQqEAl8uFsbExaDSaQ8GEgg3JiZI75EsvvQS3242XXnoJjx49wtzcHKrVKqampngNY3t7G6Ojo4cmgtS3aqUkRzeWxp+5CE3Y8+DWdE2AeRrQzOiNVNfC4brETjAY5Lsv7f2Uy2XMzc1xj6VareLmzZvY2NjA0tISdDodK9fFYjFks1kW1V5bW+PmpsPhwJUrV3i7uFgsYnl5GeVyGR6PB4uLi3wxhUIhLCws4JlnnuGg9PDhQ143oCBIHt4rKytYXl7G1tYWl2vE8P2DP/gDRCIR2Gw2AHWLlMnJSdZLIWU5r9fLur0bGxvsCU7yDm63G6urq4ea6+FwGJVKBUtLSwiHwywwRQRBuoByuRwKhQJyudyhKRbw4Ww0kUgceyFexCbseXBrLh73+AKDlutWVlZgMpnw3HPPQaPRYG1tDeVyGZFIBN/+9rdx//593nCmpbhKpcIXEBm/k52HEIJLLZKypIZlKBTC3t4ek9doX6i/vx8ulwvlcpkV5WjqRVvZU1NT6Ovr44wjGAxiZmYGExMTGBwcZCuPiYkJWCwWrK+vcyO2XC4jHA5jZWUF2WyW/ZrJsnV3d5enZ/TBJ2uPaDQKIQQCgQBcLhesVitSqRTrwpBcKDWeyZhOqf5Hrx+N6y0WC0ZGRtDT04N0Os3kuGa4LCS3RgwODh567Y4jEp4G1AzmDJFOp6HVajE2NsaCUKVSiSUySfc1Ho/D6XQeIuJRmUBLeNlsllXbpqeneeIjhGCWbLlcZsnOoaEhmEwmzqKoFKOROi05Go1GeDweuFwuTE5OIpvNolQqIRAI8B17bW0NmUwGbrcbiUSCFxinp6fZ1P7Ro0esQQyAVxho1UGn0yESiaBWqyGXy+Hdd9+FXq/HtWvXuNyhEjCRSLAaP5WL1PcwGo2Ym5vj3lNvby+y2SzzeZaXl7mfRZovQggO0M1wWUhujTgPbo0aYM4QyjujTqfD6uoqAPCdnYS+LRYLVldXueFL1HeyDCFZTBKqJqW4j370o3jjjTdYVsJsNsPn88Hj8bDTwfb2NoLBIDQaDQqFAkZGRvDo0SOUy2VMT0/jxo0bKBQKiMfjePDgAZdH169fx9raGh49eoRMJoPx8XHk83kUCgXMz8/DYDCwhgtd8BMTE/ijP/oj7mXs7e3xpjRNxbRaLWcaVMLQFrfRaEQ0GuXGOElhuN1unvJQA5q0kmmxlPgxPT092NzcxOLiIq9v0IpCK1wWklsjzqOsUwPMGUJ5Z4xEIgDADcd8Ps8LhDs7O8zK9Xg8h5wOqXFKvZLJyUl+/FqthqtXryKRSODmzZu8YwSAafs0+qa799DQEGdEbrcbW1tbiMViSKfTWF5exsjICKvqWSwWCCEwNTXFxu/7+/u8lJlOpw+N0ZUCWWazGdevX+fJDQWdaDTKwUAIcUg1ji6Gu3fvfkiNn9BqcXB1dRV9fX3IZDIYHBxkY7dKpYLp6Wkm0zXDReyvdCvUAHNGoEVA0oulcS15DXk8HhiNRpRKJSSTSXg8HnYbyOfzmJmZwejo6LFjRbvdfmiUDYAvWlohAOqNzPn5eZhMJi47qM9jNpuxtrYGj8eDUqmEsbExZDIZBINBXLlyBeFwGOvr68hkMgiFQrxrZTAY0NfXxwEsmUzC6/XC5/NBp9Nhc3OTd5hImpMyGAqspFlMWUM70gbNAoKSr0KBmBww4/E46xxPT09z70bF6UN9ZTsM4h6srq4y3V/ZY1DKK9JFojT3SiaTcDqdR44VG3+H1+vlsTBQl15QlmV0HPFagLrYlNlsZiaywWDA8vIya9TQMiU1hal5SlYhNpuNy5PR0VEWsqKgGYvF2ICeVO/I8XFvbw+pVAoOh+NDF3w70gbK14COIZsQZTCPxWJM7ycrGQAteUsqnhxqgOkwiHtA7oiNPYZmdb7S3MvpdLKcQOM0ozGwEFFNqeGi0WgQiUQQCAS4qUrNZafTybtKRIunC5MEl0g9b3p6Gru7u7wEODk5yZ7bLpeLF/9ojD42Nga73Y50Oo35+Xlcu3aNXQ6z2ewhbZfGxvfjjIRbcTyUfJWxsTHW3aGtbhIhV9EZqAGmw1Bu3Waz2aY9hlYgLV6i3TdOMxqDF8kaLC0twWAwMDFvcXGRMweHwwEA3PwcHBzEzMzMITGo2dlZvqsvLy9DCIHl5WU2abPb7bBYLKhUKvB4PEgmkyySrdVqD3kB0Z8kFN7oXlgoFFgi4klGws1Gy82Yq2Rb22xX7LKoyHUT1ADTYTQj1x03maDA4fF4EIlEEI/HeWNXCSLLUcPVZrOhUChACAG9Xg8hBO7fvw+73Y5AIID19XWEw2FeSwDqgeaocxkcHMSbb77JLotCCBaJoqXKYrHIfRgA7O5IoMcnmQqyNTlqafSkaDZabpbVHLUrdl4qcpc5sKkBpsNQjjzHxsba+vAo78akd9Lsg04XusViwb1795DL5eDxePDxj3+cVfFzuRx7Mvn9fmxtbR1qqgLgPk+z83I6nUilUqjVaocYwK+88gqvFoyMjLCXdaN+CnC4xCGfI6VwFz3nJxkJN3ucRtYvGaa16rmcF8HusshjNoMaYDqMk4w86U5GxDBqCCvv6sq7XT6fBwAsLCxAq9VidHQUWq2Wlx7JHZKsaSORCOuh0HTF4/Ec+aGmBimxX2OxGE92nE4notEoDAYDy1o26qco0ewCVgql0/NrtQd00tf5pIS58yLYXVbmMKAGmJY4j7S1ndJIebejZq3VamUtWb/fz1vDtLiXTqeZ1Ofz+Xh65fP52JFR+aGm505SBiaTCalUCsViES6XC8PDw0w3J9JeMyuXRrRzATfezWli9Tjvw0mzo/Mi2F1W5jCgBpiWOI+0tZ3SSHmM2WxmXVylx9Lw8PChn3O73Tz9oYCSzWZ5XaDxQ03Pncbkdrsd4+PjPN4FPrAHOe0LvvFuHg6Heb3gpO/DSQlzrY7v9M3msjKHgS4JMEIIHYB/BuA1ADYASwB+Vkr5++d1TueRtrZzJ1Me09vbC6fTCb/fj0gkcmQDWek8GYlEIIRgc/nGn6Hnnk6nYTabUalUOOC1svAgHHUxtnPBN74GAM69fOj0zeYyM4e7IsCgfh7rqOv2hgF8GsDXhBDPSClXz+OEziNtbedOpjyGhJzIM/uoOyv9XGOppBwpExptcJXLhcfhJA4M7bwG1C866n3odIZxmXsknUZXBBgpZQmHxab+sxBiBcBzAFbP45zOI2097k7WzoXU6hh67MZSqdnFonyu+XweuVwOWq2WSXhH4SQODO28BsoezFFm8p3MMC5zj6TT6IoA0wghhBvAJIC5I47pqC9SN6at7VxIiUQCKysrfGHWajV4vd62JlSExudOF1Yzlm0jTuLA0A7aeR86nWFc5h5Jp9F1bB4hRB+AfwPgK1LKhVbHSSn/pZTylpTy1tPyhrdzIYXDYezt7UGn02Fvb4/3kZQTKqC+8NfqYqnVaojFYnj99dcxPz+PVCoFnU7X1oXrdDq5b0OP30roiEbSy8vLrCvzOOi0kBIFudHR0UOb6CqOR1f5IgkhNAC+CmAPwE+cxbldJDxJqt4ueQ+oB6OVlRUA9RJpZWWF+zzH4SQODKdV2qgZRveia3yRRF367FcBuAF8WkpZ6fR5XTS0cyEFg0GsrKxgd3eXHRaBkwUn2uMZGhpCJpPB1tbWsSsFR6FVmdOYkZF2zWmQ7Bpxmen43Yxu6sH8cwAzAF6TUjY3A37K0c6FRCl8o7TBSe7yZJRGkpsmkwnDw8OnfkE2Br29vT3UarWONGsvMx2/m9EVAUYIEQLwYwB2AcRJxxXAj0kp/825ndgFRKsgdJKmNZmjKZ0OOlF2NAa909qsbgZ11Hw+6IoAI6VcAyCOPVDFqaNV6aA0R+sUmgW9Jx0Ht3o+6qj5fNAVAUbF+eEsS4fj+iCn0aw9SnjqSR9bxcmhBpinHGdZOhwXzE6De9Tq+XQjr+lpgNpGf8pxlmZcZxHMzsNcTEVrqBnMU46Tlg5PMu49iz6IWgp1F9QAc4FxGtyOk5YOT9KzOYuLXy2FugtqgLnAOGtuR61Ww+rqKiqVCoxGI+sMtwv14n/6oPZgLjDOmttBi5L7+/vIZrOIRCJqj0PFkVAzmAuMwcFBZLNZlMtl1sOlLepOgMTCc7kcCoXCE60PqHg6oAaYCwwScspms2zmdv/+fbZXPe19G2rS2mw29nZS93lUHAX103GBodFoMDAwgMnJSXg8Huzs7CAej6Ovrw9bW1tsC3taaCbFoELFUVAzmAsO5eiXMplO9WTUJq2Kk0INMBccytGv2+1Gb28vk8zUfRsV5w01wFxwNLomEi9GLWFUdAPUAHOJ0A0ljCrspEKJrnnnhRC/KYSICSHyQogHQogfPe9zUnFyEPmvU41mFRcLXRNgAPwigGEppQnA9wP4khDiuXM+JxUnhCrspEKJrgkwUso5KeUu/fPg63iVaRVdBXWbWYUSXRNgAEAI8c+EEGUACwBiAH7viGP/shDiHSHEO2oa3j1QuTIqlBBSyvM+h0MQQvQAeAnAqwD+YTvuArdu3ZLvvPNOp09NhQoVBxBCvCulvHXccWeSwQgh/psQQrb4+rbyWCllVUr5bQBDAH78LM5PhQoVnUHX+CI1QS/UHowKFRcaXdGDEUK4hBD/ixDCIIToEUJ8EsAPAfjmeZ+bChUqHh/dQrSTqJdD/wL1oLcG4KeklP/xXM9KhQoVT4SuCDBSyiRae1erUKHigqIrSiQVKlRcTnTdmPpxIIRIol5WnTYcAFIdeNyzxmV5HoD6XLoFISnlsSSnSxFgOgUhxDvtzPq7HZfleQDqc7loUEskFSpUdAxqgFGhQkXHoAaYo/Evz/sETgmX5XkA6nO5UFB7MCpUqOgY1AxGhQoVHYMaYFSoUNExqAFGhQoVHYMaYBQQQtiEEP9BCFESQqwJIX74iGO/KISoCCGKiq/RszzfhvNp69xFHf9QCJE++PqyEEKc9fm2wgmeR1e9/o0QQvzEgSDarhDi14859qeFEHEhxJYQ4teEELozOs2OQw0wh/ErAPYAuAH8BQD/XAhx9Yjj/72U0qD4Wj6Ts2yOds/9LwP4AQDXAVwD8D8B+LGzOsk2cJL3oJte/0ZEAXwJwK8dddCBcsDfBPAnAQyQbtGaAAAGvElEQVQDGAXwdzt9cmcFNcAcQAgxCODPAPjbUsrigejVfwLwufM9s+NxwnP/PIBfklJuSCkjAH4JwI+c2ckegYv8HjRCSvl1KeXvAEgfc+jnAfzqgSZ1FsAvoEvej9OAGmA+wCSAqpTygeL/3gdwVAbzGSFERggxJ4Q4T/W9k5z71YPvHXfceeCk70G3vP5Pgmbvh1sIYT+n8zlVqAHmAxgAbDX83xYAY4vjvwZgBoATwBcA/LwQ4oc6d3pH4iTn3njsFgBDl/RhTvI8uun1fxI0ez+A1p+7C4WnJsC0oQtcBGBq+DETgEKzx5NS3pdSRg80hN8A8E8A/NnOPouWOMm5Nx5rAlCU3cG4bPt5dNnr/yRo9n4ALT53Fw1PTYCRUr4qpRQtvl4G8ABArxBiQvFj1wHMtfsrAJxXFnCSc587+N5xx50HnuQ9OM/X/0nQ7P1ISCmP691cDEgp1a+DLwD/DsBvARgE8FHU09WrLY79LAAr6h/qFwBEAHy+288dwF8BMA/AD8CH+gf8r5z3a/8Yz6OrXv8m59cLQI+6Y+lXD/7e2+S4/wFAHMCVg+fzTQD/4LzP/9Reh/M+gW76AmAD8DsASgDCAH5Y8b1XUC8l6N+/hfqEoIi6UdxPduO5NzlvAeDLADIHX1/GwU5aN3yd4Hl01evf5Hl8ER84lNLXFwEED845qDj2rwJIAMgD+NcAdOd9/qf1pS47qlChomN4anowKlSoOHuoAUaFChUdgxpgVKhQ0TGoAUaFChUdgxpgVKhQ0TGoAUaFChUdgxpgVJwYQojhgxWL3oN//74Q4vNn8Hu/KIT4zU7/HhWnBzXAXFIIIVaFENsHQkwJIcS/FkIYOvG7pJSfklJ+pc1zeq0T5yCEeFUIsXHE979PCPFNIUThQNjpd4UQVxp+vnbwehWEEItCiP+1E+f6NEENMJcbn5FSGgA8C+B5AD/XeMCBwt2l/hwIIV4C8AcA/iPq6xEjqMsivN6gghc9eL1MAH4awL8SQkyd9fleJlzqD5aKOmRdWOr3AcwCvFn+94QQrwMoAxgVQpiFEL8qhIgJISJCiC8JIXoOju8RQvwjIURKCLEM4H9UPv7B4/2o4t9fEELMH2QC94UQzwohvoo6Tf53D7KEv35w7ItCiDeEEDkhxPtCiFcVjzMihPjvB4/zX1H3cn4cfBnAb0gp/4mUsiClzEgpfw7Am6jT9xtfLyml/D3UVymuPebvVAE1wDwVEEIEAHwawG3Ff38OdflMI4A1AF8BsA9gHMBNAJ8AQEHjC6hLa94EcAtHyCIIIX4Q9Yv2L6GeCXw/gLSU8nOo7xZ9RtblLb8shPAD+Abq0pI2AD8D4P8VQpCp+r8F8C7qgeUXUFd/O+lzHwDwfQB+u8m3vwbgTzX5GY0Q4vsPfu/SSX+nig/Qe94noKKj+B0hxD7qG8nfAPD3Fd/7dSnlHAAIIdwAPgXAIqXcBlASQvxj1APQ/wXgzwH4ZSnl+sHxvwjg1Ra/80cBfFlK+fbBv4+6QP8igN87yBYA4L8KId4B8GkhxLdQL+tek1LuAvgjIcTvnuC5E2yo30hjTb4Xw+GsyCeEyAHoR/3a+KtSyttNfk5Fm1ADzOXGD0gp/78W31tX/D0EoA9ATCFsp1Ec42s4fu2I3xkA8KjN8wsB+EEhxGcU/9cH4FsHvzMrpSw1/N5Am49NyAKoAfCivnWthBdASvHvqJRy6EDV/x8A+DiAXz7h71OhgBpgnl4o1+jXAewCcEgp95scG8PhCzt4xOOuAxhr43fSsV+VUn6h8UAhRAiAVQgxqAgywSaPcSSklCUhxHcA/CDqgUuJPwfgD5v8zK4Q4m8AWBRC/ICsi3ereAyoPRgVkFLGUJ+y/JIQwnTQgxgTQvyJg0O+BuAnhRBDQggr6jYbrfB/A/gZIcRzBxOq8YNgAdQ1T5RTm99EXbj7kweNZP3BuHhISrkG4B0Af1cIoRVCvAzgMzgGB4+h/BIH5/t5IcRPCiGMQgirEOJLAF5CC4sQKeUe6o4LP3/c71TRGmqAUUH4SwC0AO6jXlb8P6iXEADwrwD8F9RHu98D8PVWDyKl/G0Afw/1Bm0BdfEo28G3fxHAzx1MjH7moKfzWQA/CyCJekbz1/DB5/KHAXwE9WnO3wHwG8c8Bz+A7YavMVm3P/kkgD+Neja2hnrD+mUp5cMjHu/XAAQbSjgVJ4AqOKVChYqOQc1gVKhQ0TGoAUaFChUdgxpgVKhQ0TGoAUaFChUdgxpgVKhQ0TGoAUaFChUdgxpgVKhQ0TGoAUaFChUdw/8PZACDzyxjkmsAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "(y_thresh = 1.099)\n", "AUC (baseline) = 0.817\n", "AUC = 0.823\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AP (baseline) = 0.452\n", "AP = 0.456\n", "APR (baseline) = 2.98\n", "APR = 3.005\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Fit regression model (generalized PAS model, attention)\n", "\n", "def lor_model_predict(s, m, l, l_cumulative, w_pas, w_len, w_bias) :\n", " \n", " score = w_pas[0] * s[:, 0] + w_bias[0]\n", " \n", " exp = np.exp(w_len[1:] * l_cumulative[:, 1:] + w_pas[1:] * s[:, 1:] + w_bias[1]) * m[:, 1:]\n", " p = exp / np.sum(exp, axis=-1)[:, None]\n", " pl = p * l_cumulative[:, 1:]\n", " \n", " score += w_len[0] * np.sum(pl, axis=-1)\n", " \n", " return score\n", "\n", "def lor_model_mse(w_bundle, s, m, l, l_cumulative, y_true) :\n", " \n", " w_pas = w_bundle[0:10]\n", " w_len = w_bundle[10:20]\n", " w_bias = w_bundle[20:22]\n", " \n", " y_pred = lor_model_predict(s, m, l, l_cumulative, w_pas, w_len, w_bias)\n", " \n", " mse = (y_pred - y_true)**2 + 1e-4 * np.sum(w_pas**2) + 1e-4 * np.sum(w_len**2)\n", " \n", " return np.mean(mse)\n", "\n", "y_true = lor_prox\n", "\n", "w0 = np.zeros(22)\n", "\n", "res = minimize(lor_model_mse, w0, args=(s, m, l, l_cumulative, y_true), method='BFGS', options={'disp': True})\n", "\n", "w_pas = res.x[0:10]\n", "w_len = res.x[10:20]\n", "w_bias = res.x[20:22]\n", "\n", "print(res.x)\n", "\n", "y_pred = lor_model_predict(s, m, l, l_cumulative, w_pas, w_len, w_bias)\n", "\n", "#Baseline\n", "w0 = np.zeros(22)\n", "\n", "res = minimize(lor_model_mse, w0, args=(np.zeros(s.shape), m, l, l_cumulative, y_true), method='BFGS', options={'disp': True})\n", "\n", "w_pas_bl = res.x[0:10]\n", "w_len_bl = res.x[10:20]\n", "w_bias_bl = res.x[20:22]\n", "\n", "print(res.x)\n", "\n", "y_pred_bl = lor_model_predict(s, m, l, l_cumulative, w_pas_bl, w_len_bl, w_bias_bl)\n", "\n", "spearman_r_val, _ = spearmanr(y_pred, y_true)\n", "spearman_r_val_bl, _ = spearmanr(y_pred_bl, y_true)\n", "\n", "print(\"- Spearman r = \" + str(round(spearman_r_val, 3)))\n", "print(\"- Spearman r (baseline) = \" + str(round(spearman_r_val_bl, 3)))\n", "print(\"- n = \" + str(y_true.shape[0]))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.scatter(y_pred, y_true, c='black', s=15, alpha=0.1)\n", "\n", "#plt.xlim(-3., 3.)\n", "#plt.ylim(-3., 3.)\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.xlabel(\"Predicted LOR\", fontsize=12)\n", "plt.ylabel(\"Measured LOR\", fontsize=12)\n", "\n", "plt.title(\"Pred. vs. Meas. LOR\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "low_qtl = np.quantile(y_pred, q=0.1)\n", "high_qtl = np.quantile(y_pred, q=0.9)\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.scatter(y_1_prox, y_2_prox, cmap='bwr', c=y_pred, vmin=low_qtl, vmax=high_qtl, s=15, alpha=0.5)\n", "\n", "plt.plot([0, 1], [0, 1], color='black', linewidth=3, linestyle='--')\n", "\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 1)\n", "\n", "plt.xticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "\n", "plt.xlabel(cell_type_1, fontsize=12)\n", "plt.ylabel(cell_type_2, fontsize=12)\n", "\n", "plt.title(\"Measured PPUI\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "y_thresh = np.log(3.)\n", "\n", "print(\"(y_thresh = \" + str(round(y_thresh, 3)) + \")\")\n", "\n", "fpr, tpr, _ = roc_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "auc = roc_auc_score(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "\n", "fpr_bl, tpr_bl, _ = roc_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "auc_bl = roc_auc_score(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "\n", "print(\"AUC (baseline) = \" + str(round(auc_bl, 3)))\n", "print(\"AUC = \" + str(round(auc, 3)))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "l1 = plt.plot(fpr_bl, tpr_bl, color='green', linewidth=3, label='Distance')\n", "l2 = plt.plot(fpr, tpr, color='magenta', linewidth=3, label='Dist + A2')\n", "\n", "plt.xlim(0., 1.)\n", "plt.ylim(0., 1.)\n", "\n", "plt.xticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "\n", "plt.xlabel(\"False Positive Rate\", fontsize=12)\n", "plt.ylabel(\"True Positive Rate\", fontsize=12)\n", "\n", "plt.legend(handles=[l1[0], l2[0]], fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "\n", "prec, rec, _ = precision_recall_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "ap = average_precision_score(np.array(y_true > y_thresh, dtype=np.float), y_pred)\n", "\n", "prec_bl, rec_bl, _ = precision_recall_curve(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "ap_bl = average_precision_score(np.array(y_true > y_thresh, dtype=np.float), y_pred_bl)\n", "\n", "print(\"AP (baseline) = \" + str(round(ap_bl, 3)))\n", "print(\"AP = \" + str(round(ap, 3)))\n", "\n", "print(\"APR (baseline) = \" + str(round(ap_bl / (np.sum(y_true > y_thresh) / y_true.shape[0]), 3)))\n", "print(\"APR = \" + str(round(ap / (np.sum(y_true > y_thresh) / y_true.shape[0]), 3)))\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "l1 = plt.plot(prec_bl, rec_bl, color='green', linewidth=3, label='Distance')\n", "l2 = plt.plot(prec, rec, color='magenta', linewidth=3, label='Dist + A2')\n", "\n", "plt.xlim(0., 1.)\n", "plt.ylim(0., 1.)\n", "\n", "plt.xticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=12)\n", "\n", "plt.xlabel(\"Precision\", fontsize=12)\n", "plt.ylabel(\"Recall\", fontsize=12)\n", "\n", "plt.legend(handles=[l1[0], l2[0]], fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Analyze improvement of using APARENT2 score\n", "\n", "#By site distance\n", "\n", "l_cutoffs = np.linspace(1500, 2e5, 50)\n", "\n", "f = plt.figure(figsize=(6, 4))\n", "\n", "r_vals = []\n", "for l_cutoff in l_cutoffs.tolist() :\n", " keep_index = np.exp(l[:, 1])-1. <= l_cutoff\n", "\n", " r_vals.append(spearmanr(y_pred[keep_index], y_true[keep_index])[0] - spearmanr(y_pred_bl[keep_index], y_true[keep_index])[0])\n", "\n", "r_vals = np.array(r_vals)\n", "\n", "plt.plot(l_cutoffs, r_vals, color='deepskyblue', linewidth=2, linestyle='--')\n", "plt.scatter(l_cutoffs, r_vals, s=25, color='deepskyblue')\n", "\n", "plt.xlim(0-100, 200000+500)\n", "#plt.ylim(0.0085, 0.01025)\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.xlabel(\"Distance to next PAS (bp)\", fontsize=12)\n", "plt.ylabel(\"+/- Spearman r (using APARENT2)\", fontsize=12)\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:tensorflow]", "language": "python", "name": "conda-env-tensorflow-py" }, "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": 2 }