{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Classification from scratch" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os\n", "\n", "# Set CML_ROOT to root data mount point\n", "os.environ[\"CML_ROOT\"] = \"~/mnt/rhino\"" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from copy import deepcopy\n", "from functools import partial\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.stats import zscore\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.metrics import auc, roc_auc_score, roc_curve\n", "from sklearn.model_selection import train_test_split\n", "\n", "from cmlreaders import CMLReader, get_data_index\n", "from ptsa.data.filters import ButterworthFilter, MorletWaveletFilter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start by loading the data index of all RAM subjects:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "df = get_data_index(\"r1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To train a classifier, we want to analyze record-only experiments. Here, we'll just consider FR1. Let's choose subject R1111M and see how many FR1 sessions they completed:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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subjectexperimentsession
616R1111MFR10
617R1111MFR11
618R1111MFR12
619R1111MFR13
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" ], "text/plain": [ " subject experiment session\n", "616 R1111M FR1 0\n", "617 R1111M FR1 1\n", "618 R1111M FR1 2\n", "619 R1111M FR1 3" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df[(df.subject == \"R1111M\") & (df.experiment == \"FR1\")][[\"subject\", \"experiment\", \"session\"]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Four sessions gives us a fair amount of data to work with, so let's start by creating a reader so that we can load montage (\"pairs\") information, events, and EEG data." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "reader = CMLReader(\"R1111M\", \"FR1\")\n", "pairs = reader.load(\"pairs\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In general, we can always use `reader.load` to load any kind of data, but since we want to get FR1 events from all sessions completed by R1111M, we instead use the `reader.load_events` convenience method. Under the hood, this class method iterates through a given list of subjects, experiments, and sessions and returns a single `DataFrame` combining all relevant events. Let's hold out the last session, though, so that we can test on it later." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "events = reader.load_events([\"R1111M\"], [\"FR1\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we need to load EEG segments for all word events. To select word onsets, we utilize the `events` accessor, but we could just as easily use standard `pandas` querying." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.71 s, sys: 1.3 s, total: 3.01 s\n", "Wall time: 12.9 s\n" ] } ], "source": [ "%%time\n", "eeg = reader.load_eeg(events=events.events.words,\n", " rel_start=0,\n", " rel_stop=1600,\n", " scheme=pairs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's inspect a few signals at random:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_signals = 10\n", "fig, axes = plt.subplots(n_signals, sharex=True)\n", "chans = np.random.choice(eeg.data.shape[1], n_signals).astype(int)\n", "\n", "for i, ax in zip(chans, axes):\n", " data = eeg.data[0, i]\n", " t = np.arange(len(data)) / eeg.samplerate\n", " ax.plot(t, data)\n", " ax.set_yticks([])\n", " ax.set_xlabel(\"Time [s]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute features for the classifier" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to train a classifier, we need to convert our time series EEG data into power features. To do so, we'll use [PTSA](https://github.com/pennmem/ptsa_new) for its filtering capabilities. For Morlet wavelet decomposition, we'll also add a 1 second mirror buffer." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "ts = eeg.to_ptsa().add_mirror_buffer(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For comparison, let's look at our signals now with this added buffer." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(n_signals, sharex=True)\n", "\n", "for i, ax in zip(chans, axes):\n", " data = ts.data[0, i]\n", " ax.plot(ts.time, data)\n", " ax.set_yticks([])\n", " ax.set_xlabel(\"Time [s]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we remove line noise using a [Butterworth filter](https://en.wikipedia.org/wiki/Butterworth_filter)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 8.34 s, sys: 3.09 s, total: 11.4 s\n", "Wall time: 11.4 s\n" ] } ], "source": [ "%%time\n", "bf = ButterworthFilter(ts, [58., 62.], order=4, filt_type=\"stop\")\n", "ts2 = bf.filter()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's again inspect our signals after this filtering:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZL0zo0WZxi7F5lWw9m8fTY7qz5mgmn+1JYtmMYO7o10UsU1SlRKnR42JrTl5FHVq9QC9P+xY/gOwyBfsSili41TC59c19A8Rh/I5nRjTrfzqYVMyDP8aI/785uRczBnrhZGMuuieeHdudFQdSRHdEgz99f0IRX0QkM8jXiZNZ5Tw5qhvjg9xFv2kDb03pxfvb48XeR2Wdhr9O5YiTMHD5UKykwmom1DeSq2YPFMO6Hh/ZlVmDffBztbns/Wi4X4kF1Ugl4OloRXmtGplUYjS03nYuj5f+PMvTY7rz6IiufL43iUl9PAj2crzsua+GGpWWD3fEU6PScl+oD8v3JjEr1Ed85r3e3ika425utng6WBKTXsbxt8Yxf81JQrwcubN/F3q42/FlRDKf7Uni6/v681T9RFXaksltEl7ZePjdHLNCvXl4uD/d3e2u+7cuh1Kj44fD6Ww8mSM2DA10cbQit6IOaL17pCUa5oQeHeHP94fT8XIy+MGVGh2bT+ey6XQuC0Z3Y39iEaujMnhomC8/N5pD2jh/GAN9nSmtUfHwT8d5ONyfrFIFyUU1PDjMVww9vF60Oj1fRiQT3r0Tof7Xd852ZZAbcy6ngtu/juKlCT14akz36zrXtdKWvYwGLuRWcttXh422dXezZc8LI8X/lRodd3wdRWLhxdHC5L4erLjfeDJu2IcR1Gl0YtQF0GLvpPGkIICthRwzmYRTb483utZ3/45ldVSG+L+FXMrpd8Yb+U6nfnWY87mVRuf/68kwBrQw+XS13Ijn0Fp+ikpn0d9x/PnEMAb7ObPxZE6TiUI/F2v2vzSKIUsi8HCwZOtT4bz851mCOtszd7h/m9SjofEbH+ROn84OLN+bxOS+Hmh0As+P69EmE0qtRaPT8/pf5zGXS1l3LAtfF2s+mxnCXd9GM3uoL4vv7NPySVpBfmUd8346wf8eGsSe2AIW/R3HpifDuJBbydtbjKN2Bvs58ecTYSg1OkI/2IujtbnR/EpHod0aZDAMh1sazndEVkamsvSfBKNt6x8bytD6odEXe5NZvjcJgFmhPkwN9iTY27HJSODZ9afZciYPuVTCxvlhVNRpGNmjxbwkHEouxsXGgrtXHqFWrSO8mytrHhliVKZGpeVMVgW74wrEyJXGftAz2RXc+U2U0TELRgfw8sTAq7gTHYPGDUJ5rZr+i/dctuzV+IqvlvSSWro4WiGXSqhVa9tFMiCNTo9WJ2BlLiOlqIaurjY3ZMFVgzvocnx6dwh31fvJG2xVRzPG0HqDfFPikP+Lxhigp8fFYeWC0QGAoecKhkaowRhfeHciH07vS1g312bdMg0xpT097AjxdmyVMQYY0b0TQZ3t6eVpOL5PF4cmZWwt5IR3d+W9O/oQ/94kAL7en4K2Po55T1wBAI+E+2NXX7eGyJj/Go0/bCcbc14Y3wMwTI6uuiSE8PGRXW9YPfxdbTCXS5FKJe3CGAOYyaRYmcsAg0vnRq1+7exoxaMjLo42gjztOfnWOHxdrAn0sDOaZJVIJB3SGF8NHWZhSEcguN4AfjwjmJcnBjLAx5H9CcXkV9Yx4iNDL2D6gC4t+sZH1EcWTOvf5YrlLsfk+smwib2vvFTXylzGrFCDG2Toh/vIr6zjQGIxfi7WvHVbEF/O6o9EwnX7zzoKz4ztTsbSKUzo7cGonp14YKgPPz8cSsbSKe3GUP4XeXNKEAmLJzEl2JNldwfjYmtB5Muj2fncLViayW529f5VburCkP8ier0g9iYe+fl4kwD0pPdvbVWYUKVCg53lteXl0OsNK5EawpeuROPUjQ2EeDuyZcFw4L/rXjJh4t+kXbss/ss0NqAvTjD2Oe58bkSrVyY5WJtd8zBRKpW0yhiDYWi65/lbjLa902j1k8kYmzDx72HqId9g8ivr+GRXEo/d0tXIx9zeSCmqYcX+FJ4f3wNv5/+mz9iEiZvFDYmykEgkxcC1Zrt2BZoudWp/dJR6Qsepq6mebUtHqSd0nLre6Hr6tkbC6aoM8vUgkUhOtKaFuNl0lHpCx6mrqZ5tS0epJ3ScuraXepp8yCZMmDDRTriqHnJbq07XqrSYyaTXlILPhIlrQaPTo9EJWJv//wqn+i+h1QsoNboOJQnV7lWny2rVDFi8Bzs7C2LeHNcm5zRhoiXCPowgr1LJvstkGDPR/rlnVTTH0svY/uJIAuozIrZ32r3q9Nl69YCiahVZl6TRM2HiRlBZpyGvPlvboeTiFkp3TCrrNDzw/bEm+cL/K+j1Asfqc2rv+A9e400zyOdzLiav2XAy+wolTZhoGxpy5AJGeZj/S6yKTOVwSglvbj7faomojkTjbHSbTueiayMJtfbCTTPI53IqCOhkQ1iAC+tisv9zN9ZE+0IQBH4+kkF/H0fCAlzEEdp/jZ2xhlwkFQoNxzPKb3Jt2p7TWYZrmhfuT1pJLcczylo4omNxww2yIAhEJhUTmVSMSqtjxYEUluyI53BKCaH+ztwz2JuSGhWRSc1rXJkw0RZEpZSSVaZg5iBv+vs4EpdXxcc7E3jv7ziUGh0pRdXsvUSq62ah1OjqFcgzmuxrEBhtjvSSWtKKa3l5Yk/kUkkTuaIGGoRWLyW5sJqHfzrOqaz2YcgrFRqOZ5Sh1OiITCrm1Q3n+PVoJg5WZjw7rjvmcqkoZfVf4YZPU+r0BqXm9EsSXwPcHtKF/j6OeDpY8sPhdMYEXjkZDsCvRzPRaPUEetjh7Wx92VVlJTUqiqpUl80nm1pcQ3mtmqwyBQVVSmYM9EKh0pFaXMNfp3J5aWJP/K+QiN3ElUkvqeXDHfHc3q8zwV0ckckk/BKdQUAnWwI62eBgZU43t+YnZM7nVOJgZYaPS/PPNrtMQY1KS3RqKRIJrcpN/HN0Bq62FtzZrwtx+ZV8sz9VlIpqUMYAWDKtL/cN8bnq670SCQVV7I4t5NERXcUMaldizdFMNtUnavd3tWFE94uT89NWRJFTXtes+EFDZsHbQzpzKLmYHefzeXFCDyPFDEEQmPrVYUpq1EQ0mhQrqVHx4I8x5FcqSS2u4cBLrcs5vON8PrUqLTMGerVpJrYKhVqU5LqUWaE+2FuaMa1fF/46lcNLE3o2qxrUmAu5lfxxIpsZA70orlYxuqdbs6kJdHqBY+mlDPF3uSlpA264QZbLpHxydzBzfjxOtUrLLT06YWshw8HKjGEBhjzBDwz1ZdmuRFKKqunm1nR5cZ1aR0pRDbvjCvhqX4q43cZcxuFXx+DU6GGcya5g5qpo1PVihW9N6cW8cH+jl6Wxxl8Dl6pJZ5UpWPfokBue5Su7TIFcJsHT4aISg0an548T2Uzq7UG5Qo2/q22rXg69XiC1uIZOdhZsO5fP3YO8sJBfNAC5FXVodXp8XW5sQ1Ol1PDc+tOczalsIhDbmOYUSy7V6GucT7rh3FO+PESVUituK6xSMbmvB93cbJsVKa1QqA3PPMwPK3MZA32dmTnIi/O5VXR2sCQioQiZVIJOL7D5dG6bGOS9cYUcSCoir0Ip9lTVWn2LOZVzK+pYGZlGQCcbpBIJs3+I4cBLo/BztSGrVEFOuUG945PdifzYSEpLEAQ2nMxhRHdXvJ2tmRfelUd/OcGu2AJuC+4sljuYXCJKZ/1+PJs3JvdCEASeW3+G/EqlqEe34kBqE9m0SzmdVc6Taw3qOF/tS6G/j2O9LmR3I7HdayEqxVjz0tJMyvPjerDxVA7PjjUIW8wN9+P3E9lsPZPLnMs0yilFNSQVVvPCH2dQavRiDvCP7urLPYMvPuc6tY4X/jjDPxcMLp+xgW58dk+/676Oq+Vfy2Wh1wsUVivxsLds0pKW1qgY9uE+ZoV68+4dTVUJXv7zLH/WT8g4WZsxqY8neRV1RNZLFm1/JhxvZ2se/CFGnKyxtZBTozJ8tF072bBlwXDRuC5Yd0qchR7a1ZlxvdyJiC8iOq2UTnYWhPo7i/tfnRTI/FEB13TNV0IQBL4/lM6H/8RjaSbj+JvjsKmPq9x2Lk+UCgKDjM78UQGMD3LHvRn9tqJqJXviCvnhcDppxRdHIu/f2YcH6rXztDo9Q5ZEUFqr5uWJPZk/MuCG5Lj9KiKZT/cY8j5P7O1OfqVBE3CAjyO39jGoHTc8o9E9O7F6bihg+CDu+vYIcflVAJjLpKjrczQHdLJhwxNhFFWrmPi5QVrq9pDO2FnK2XmhQBTCndTbg5WX5DEG+CU6g3e2xLLt6fAmOaL1eoGCKsN7+dGuBFZFpvH1ff1FI1ap0JBToaB356a5pRsQBIFNp3PR6PTcM9iH3bEFPFYvewUG+S0LuZTjGWUceHk0XS4jg6TTCwyql7Hf9GQYWr3A3SujsTKT4etiTa1aS3ZZHdP6d2HT6Vy6utqw7ZlwrM3lnMgoY8bKaDGhu04vMGTJXob4u/DN/QMAWB2Vzrt/x+Fhb0mAmw1RKaWM6O6KuUxKREIRw7q68PPDoUz96jCJhdVsnB/GQN/Lq8TM/uEYSYXV3B7Smd9issXvbUR3V36dN0QcGdwz2LvZ97aB4moVCrUWH2drJBIJ1UoNfRftxlwuJfbdidSqtMhl0mbjjid9ftDgungqvMm+Q8nFzP7holTalL6eWJvL2HImD7VOzwvje/DM2O5GwhENNJion+aGtjof+ZVobS6Lfy2yWio17gU2xsXWginBnmw8lcvLkwLFG6/XCyQUVIvGeFaoDy9N6IGLrQUA62OyeO2v8/wanYm9lRlnsiuYMdCLO/p1ZlhXw5Djy4gUlu9N4t2/4/jk7hA0Oj0HE4u5d7A3S+8KFuvwyIiuFFUpsbWUk1tex6GkYqqUWj7amUCov/MVX8xrYc3RTD7YEQ+AQq1jT1whd9bnP9521tAY+LpYk1NeR25FHW9tvsCK/SlsWjDc6OUurFJyx9dRFFQZwrnsLOS42lmQXlLLzgsFokE+kloqGq5luxKpU+vaXAEjNq9SNMaeDpY8O7YHvi7WVCu1Yszvo7cYEr2/vy2On6MzqFJqsLc0471tscTlV3H/EB8WTu2NVALncyv5eGci0WmlfLkvGU29gV40NUjsEb12ayCLt8Xxx4kcdsYWEJdXRaCHndjYaHV6fj6SQd8uDs0m7Jc20vqbN9yfVZFpPLXuNHF5VUTEF4lyW/NHBWBnKWfGAC8jUdMVB1KMRldbzuRxJNXQu/v9saGikGZmaS0jlx1g54UC5oU335s7lFxMuULD7KG+9K+Xy2rQRmwQCb6jX2eWzQhGrdOz/Vw+G0/mcM9gH7acycPSTMrEPgbVcZlUwq19PPnjRDbltWpq1VqW/pOAjbmMbx8YQLlCTVRKqaikbWch54c5gzCXS/n+oUGM+Hg/P0alX/a9r613Gc0b4c/rt/bizSlBVCo0PPLLcQ4llzB0SYT4Tn62J4nh3Vz45r4BYhZCvV5g61mDYVy8LY7q+hHP4jv78PbmC4Ah66CZTHrFzIWzQn1YuDWWs9kVhHgb9BgFQUCrF3h/m+H7Cu/myvPjuzPQ11l8lmM+jeT7Q2kM9nNm+d4kurraMGe4H7cFd8bZxpxzORXMWBnNo7+cIOaNsa3Onni9tJtsb6ezypm24giL7+jN7GF+xOdXccfXUah1eiQSiHxpdLM+xcaKyLf28eDbB5r2kF7dcI7fT2SzecFwyhVq5q4+znezBzKht8cV63Q0rZR7vzuKtbmMM+9MaJMVhWnFNeRXKnllwzmcbMzYsiCcER/to6haJQq7Ltway6MjuvLG5F7o9QIxGWXsjSvk+8PphHdz5dd5oUgkEgRB4K5vj3Aqq4InRwUQFuDK8G4uSCQSPtuTxJcRyXx8VzBlCjXL9yRhJpNy4q1xPLf+DAeSivhwel/6dnG8rC/3atDo9PReuAu1Vs9PcwczqqfbFcufzCznrm+PsGRaXwb7OTF++UHuHujFsrtDmpR9/a9z/BZjCI28tCFtIKOklvHLI0VR2HWPDiEswJU9cYU8+ssJvpzVn9tDOjc57lISCqqY9Pkho20OVmZU1l3UN1x8Zx/UWj2VCjVf1rvQene2J6e8Tiz37f0Dmqhmj/8sEjd7C9Y+MhSAzadz+TEqHR9nayrrNCQVVqPW6jn2xjjxXdPpBTaczMbN3hK9XiC8uysWchmCIHCYMVEHAAAgAElEQVTniiOcbRS+d1uwJ1/fN0D8/1KdR5lUwv4XR+HjYo0gCBxMLsHZ2pw98YWM7OEqGiyARVtj+elIBqH+zsgkEuo0OtzsLFg1eyASiYQjKSXc9/0xVs8dzOhGz1qt1RO2dB8lNSoAhndzEd0PPs7WPDWmGzq9wJYzuRxNuzix6GprIR4DiL3XlqhWahiyJILJfT355O4QtDo993x3lJOZhonJNyf3EjsBjTmWVso93x0FQC6VcOqd8dhf4p48nlHG3Suj20TCrF1r6jWHIAjc/nUUSo2O3c/fwj2rjhKTUYaLjTlf3defsADXZo9TaXXM+fE4qcU1rH9sKF2bWblTWqNi9CcHRL+jrYWcY2+MFV0EV6LxcGbB6AAeHu6Po7U5Usm1aXtN+vyg2NtZ+cBAJvXx4PtDaby/PV4sM8DHkV/mDWkyRGsQ5vzi3n7c0a8L28/ls2DdKd69vTcPhfkZlVVpdTzw/TGj0KeGFys2r5IpXxo+VA97S46+Mfaqr0MQBPQC1Kq1fH8wTTRMz43rznPjerR4vF4vEP7RPnGhhkQC0a81v3quUqFh2rdReNhb8vPDoU1k3Rs4lVXOs+tPk11WR4iXA5sXDGfA4j1IJRKOvjH2ssddSk65gq8iUpga0pmhXZ1RafW8vfkCGaW1nMoyDpezs5Cz6/lbcLW1oE6jY3VUOn27ODC2V9MJ6g//iWdVZBrjg9yZFerNoq1xlNSoUKh1YpnWNGYNNDRqAK625mx5KryJO6SxqO2Dw3x5rxmXYHPkV9Yx+4cYI5V4gM9mhhCZVMz+hCKqlFrOLZrQxJAVV6v4Zn8KMwZ60aeLA5UKDcv3JvHTkQyjcjbmMgb4OvHs2O4M8nOmrFbNtwdS6N3ZQRwttoY3N51n7bEs9r5wC8fSy3hzk6GHPX9UAK9OurwhXXM0k8Xb4nhjcq8m308DC9aeYvv5fLq52bJ5wfBrXq7d4QwywJ8nsnl5wzmWTOvLG5vO8+gIf96cEtTicXq9gFqnv6LcS2NV4atRUBYEgTc2nRd7aA1MH9CFJdP6XpXETGGVkiFLIgCDn+3nuaHi0FqnF1iyI571MVlEvDiqWcOk0uq45eP9FFap2LJgOHd8E4W9pZyYN8c1W4/iahXjl0dyax9PFk4NMiozf81JcQJj7wsjr6qXrNLqeHvzBf44kWO0fYCPIxvnh7W6oWpsUBZODbpitIRKq8NMKm2V3/uTXYl8vT+Fj+7qy6sbzzNjoBefNNPzvhbyKur4OToDKzMZAZ1sGdfLvVWRE9C8MvlXs/ozua8n8flVOFiZXXUu6uwyBe72li2O3lKKavB3tbmqyAGVVsf5nEr6dHFAKpEQXj+Sa+DSHnlLHM8o41RmOYmF1UwIcmdSH8+WD2oFiQXVTPz8IPcM8iY2v5KiKhXH3hjbqvdQrdVf8d5lltYyY2U0TtZm/PH4sGt2XXRIg6zU6Bj6YQQVCg0SCRx9fewVJwOuloySWnycra96MksQBCoUGvYlFBlJxd/ZrzPL7+l3xQdfWafB3lLO+uPZvP7XeQAiXx7VbKSDrj5pypV67vsTi5i7+jiBHnYkFFTz8V3BzBzsfdnytSotlmayZj/EoioloUsikEslvDM1iAeG+KLU6pqNVGhAEARe/+s8649fbKA+viuYkT074WZncdWjBkEQyChVtGmIYXmtmkEf7BUXG8W8ORY3u/aRt6K8Vs3O2ALe3HSevl6ObJofdsMERNuaX6MzeGdrLGMD3Vg4tTddHK3aTd0b8lsAvH1b0GX99NdCjUqLXCq5Ln2/DmmQAT7amcC3B1IZ18uN7x8a3PIB/zIZJbX8FpPFqoNpAPT3caRGqaVcoWZibw+eHtNd7N1GJhXz0I8xuNtbUFhl6FncN8SHJdP6XlcdGtweXRytOPTK6Ov6KF7beE40rt3dbEkvqeX7hwaJw+aCSiXfHUxj69k8HKzk+LrYiGFcT44K4O5B3u0yXvvJtSfZcb7gsj7nm41OL6AXhFa7UdoLSo2uXQqPNg6XPPX2+Bbjkv9tOqxBVmp0rI/JYkpwZzrZWdzQ37oemht+giEy4sBLo5iz+rgYlgcQ4uXAq7cGMsjX+bonB09mlrPuWBb3D/Vptevlcmh0ek5llvPRzgQj/+gQf2fWPjKE6d8e4VyjvCMNNI4gaI+U1qjYcT6faQO8OlSaRhPXzp64Quwt5e3yveywBrkjodcL3LkiCrVWj62FnBOZTZecvn9nHyzNZEzq49GuDUOtSsueuEJkUglP/3a6yf5Bvk442ZhTWKVkwxNhphzWJkxcBe0uDvm/iFQqYcuC4aLftEqpYfqKI+LM9PT+Xbh3sDfyDjAstbGQc2f/LvXpDUvFUEI7SzmHXxmDg7VhJl2vF9qN39CEif8a7d9StHMaT2LZW5qx9anh+LlYM3e4H5/d069DGOPGSKUS3r+zL/NHBeBgZcb2p0eIxrhhvwkTJm4MJtXppnSUekLHqaupnm1LR6kndJy6mlSn2yMdpZ7Qcepqqmfb0lHqCR2nru2lnh1rPG3ChAkT/2FMBtmECRMm2glX5bJwdXUV/Pz8blxt2il6wZDExN7SjOYWounr76G0fmdBlZLiapUhyXorlsLq9AIpRTUIGKIYPBws2ySwvVqpIbu8DkEwJJYJ6GSLmazlSbnsMgUVdRpcbMzFTGiCAAKCeI2NEQSoVmmwtZA3u78jUl6rprBaRSc7C1yaeRYtLbkFQyy0XCZtk5y6hkWHzd//60GrF5C3wUStRqenuFqFq63FFe+LRqdHLpU2+Y7UWj1ZZQoszKSGFYD/kfeogZMnT5a0xod8VWFvfn5+tEUcskKtZdvZfHp42NGvUcq8apUWG3M5FQo1LrYWVCs1nMupJNDDTky5eS1odHrSS2rp4W5HtVJDjUprlAo0Jr2Mwykl3D3QS8wloFBrWR2VgZ+LDUfTSvn1aCaOnWzQC4aUjxZyKS/8cZay+pSWALNCvZk91I/JXx6iYZX+762QKn9t4znKj2djZylHJpVQodDw5G1BPHwdyz9/OJzO+9vj6GNrgVKjo0qp5dZWrFrLrahj+NJ9NNydFY8P43BysZg8yNHaDA97S54Z2x0LuZSPdyYilUooza9iUJA7dw/y5nhGGQtGdROjM3LKFfwWk8UgP2ejzGBKjQ4zmRSZVMKF3Eq6udle1yqwkhoV+xKKmBDkjqO1OUXVSpytzanT6LC1kIsRMSlFNcSklzF9QJfL5gAJXbIXVwEEoH+QO8+N686ao5k8O7YHSYXVPPhjDA8N8+XdO/ogCAIanWBkiLaezeOZ306jAZbNGczowIvXXV6rZsuZXJxtLRgT6EZhlfKK74hGp2f8Z5HYWsr5+6nwNlPm+O5gKh/+k9Bizt9KhYZyhRqZVMLGUzmEBbgS6n8xM5xKq2PMJ5FUVtQRUp8LuTku5FZy+9eHmdjbgxX3D+CHw+kUVasY4OPIE2tO4Vhf7qFxPXh2XNNMbzq9wJnsCjJLa5nWv4t4HxRqLRZyGaU1hgYBDKtkrc1l171IxKD9aduqRGRXQiKRtCoY4l9ZGNKQhcvbyZqnRnfjodUxYprEbm62uNlZ1EunlGEhl6LS6nGzsxATmYQFuPDO1CAyShQczyijTxd7+nk7selUDiW1akb3dMPByowe7rY4Wpuj0wv8cSKbVZGp9PN2pEalZW+8QRXC0cqMijoNz43tzoLR3dhyNpfnfzfkpwj0sOOzmf2wtZBzy7L9Yv3N5VJRgeRS/FysyShVGG0zl0n5clZ/nlhzEn9XG3Y8M4J7v4vGzd6Sr2b1NzICer1A/8V7GNfLnU9nhqDS6liw9jR74wtbTLhzOdYey+TNTReY1NuD5ff0w8pcxut/nWfjqRyOvzHOKIxNpxeYv+YkOeV1/PbYUB78MYaz2RWsfGAgz/9+hjqNzujczV3v5dj0ZBhyqZSXN5wVM9wtmhrEQ2F+/HA4nY92JmBrIcdcLqWwSkWonzPuDpYcSCzi6THdmBPmj7lcSoVCTWxeFTUqLRtP5uDfyYb7Qn2IzasiJr2M4d1c8XSw5LM9SeKybg97SzEfLxjSQNqYy0kvqSW5Pk5cJpXw68OhfB6RTG55HUvv6su5nEo2nMwhvaSWLQuGs+ZoppiPG8DaXMZAXycxj/C4Xm4czyjH1kLOhvnDxIb+0V9OcDyjDCszgzrO5gXDsTSTcSi5mAVrTxkpnkgk8MyY7kgkUKPU8sqkQNG477xQwOJtceRWGJRCfp0XaiTpdK3o9ALDl+6joEqJhVzKrFAfXp8cKCrM7E8oYtu5fHycrfk5OsOo4wGGZO9f39cfiUQiihKEeDlwNqeS6NfH4OlghU4v8NepHBZtjWVoVxdiMsrEvMcTgtyN1GRsLeT8Mi+U5XuSOJRcwj2DvJk9zJcP/4knKqWUz2aGsO1cvvh8PetHkf6uNuyJK8TaXEa5QoOdpRylRifal7+fCiezrJa4vCqszWVMCe7M0bRSzudW4u1kzcgenTCTSejublAqOpdTwdubL1Cr1jFjoBdL/0nAXCblkRH+vHKFzHEt0W5W6gmCQOiSCIobZYkCmDHQi92xBUYvJoCFXIoggLuDBVV1WlxtzUktbqrH1xwOVmYEezmIH0tzWJvLsLOUU1ilws5STrVSi4OVGfcO9hbzUzTQ8NL0dLfj13mhVNZpyC5XsCoyjZ4edjw/rocoH6XU6LjzmygSCqrZvGA4IV4O+L++o9k6bJw/TMw927AE+/N7+okpB7U6PU+sOcX+xCIOvDTqqjKA5ZQrGP3JAYK9HFn36BDxA4tOLWXW/47y45xBonZhc7l/G0j+4FYSC6qZsfIIHvaWbHtmhLjSsFKh4at9ycQXVPFIeFdcbS3wcbZm2ooo0kpqGeTr1GTV4pwwP/65kE9hlQprcxkKtQ5vZyuKqlSotHqkkoZh+UWcrM0IC3DlWHqpKDvUEoEedhRWKXG3tySnvA4JUK0yfsfsLeXMCfMTe/3N8dgthnzUYOjtRqeWYCaTihJADw3z5bfj2U0a6hfH9+DeUB+GL93H7GG+DPZz5ok1J5nU24PRgZ34eGcilmYyls0I5kxOBbsuFFBbL1HWwIPDfHn39t7E5lUxbUUUGp3A1JDO7E8o4rZgzzbJzXEqq5zpK45w90AvNp3ORasXePyWrrw+uVeT98LR2gw/Fxsxifu3B1L550IBz4/rgUKt5YfD6Uzo7c4L43sy7rNIFk4NomsnWz7ccTGxfgPv3t6bhVtjxf/nhfvjbGPO/UN8cLQ250hqCW9tukBaMxqcAON6uZNfWUdsXpXRdhcbc0pr1QR62FFWq8bd3pL4/Cq0rVSzv6VHJ7LLFGSW1jZ5Dxs6h/HvTWp1Zr9LaTcGGQwvdA93W+rUOj7amcDYQHcevaUrqcU1nMosZ0ygG1vP5nF7SOcmrgmdXmDO6hgOJZewcGoQ0/p34XxuJYkF1Qzxd6G4RsnOCwUkFtaQVlwjtsALpwbxwFBfvoxIxsHKjLnD/ckuU+Bia45EImHpP/GkFdfiYGXG8+N74O9qw28xWZRUqyisUjE60I1JfTw4nlFGkKd9q4YsGp0emUQiLp5IL6ll9CcHAJga0pm8ijoxcfacMD+SCqsZ4OPE1/tTOPaGcWa7vIo6wpbu46UJPXhqTMuJuhv4el8yn+xO4tAro40MuUKtpe+i3Tw83I/U4lo8HSxZe8ywGq93Z3v6+ziKq/O2LBguqi9odXoEaFUSHIVay6nMCoZ3c2FffQ/L08ESd3tLZoX6kFOuYOHWWAQBvJ2tee3WQHR6gbJaFQGdbFl/PJvEgmremtKLtceyWLIjHpVWj425jGAvR/w72TCxtwfu9hZEJhbTw8OOrq6GZEfvbYtjqL9BguhSH2atSstfp3OZ2NudAwnFhHg70tPDjrXHMtl6Jo8XJ/QUJZzsLeW8MjHQSKexAUEQmLbiCPH5Vex9YWT9yO8MC6cG4eVkzYJ1p4wM9NanhhPs5WgkQWZvKWftI0Pp6+VgdN7zuZVYmsn4el8KW8/mMcjXSTRKWxYMx8vJigXrTnEys5y9L4zETCa9JveOIAiU1qpZdyyL5XuTOPXWeMzkUhZtjRU1+U5llmNpJmPdo0OpVWvp4mhl9G5qdHruWRUt5j5xtTXnzyfC8He1Mcr3DQbRiJcm9mTsp5EM7+bC2keG8vpf5/ktJqtZTUVA1DZcF5PFQ2F+hHdz5cuIZIqrVXw6MwSJBNYczeK2YE+iU0vxd7UR39fG/HEim7c2XWBKsCf3D/HB1daCvfGFeDtb42FvSVRqCQcSismrrBO1Cu/o15k3JvcitbiGnRcKeGZsd8xkUjJKaund2f6aF3q1K4N8vQiCgCC0vEqsoFKJQq3F39WmTRVwr4cjKSVYmBmGuXq9wIoDKXyy21i/q6urDfteGtXk2OkrDIop254eYbS9qErJ2mNZ3DfEp0l60kmfH8TOUs6fT4Q1Od/Urw5zPtc4UdCzY7vzzNjuyKQScsoV5FUojfyDNxO9XiCzTIFcKmlxlKDV6ZE2agxvFDq9IKYyFQSB2LwqgjztkUolKDU6Zqw8woXcKvp5O7LpybBGfutqDiQWc2tfz8tq6jWcc3VUBisjUzGTSVlx/wDR2DTkCweDTuSu52656mxxKyNTWfpPAgB9uzjw99MGLTqVVsezv51hX0IRg/ycWHZ3yBXrqdbq2X4+D2tzOSN7dBIbh99issQ0s41VrbPLFNhZysV8woIg/CvfaGuW+qu0OuLyqujd2eGG5Wj5Txnk/xpbz+bx6oZzon92+oAufDazX5Ny3x5I5aOdCcS8MVbUcSuqUnLbV4cpqlbhaG3GpieHi+kvy2vV9F+857K96gZZHjC4bhbd3puZgy6fS9nE1aPTC8TnXzTSbUlRtZLQDyLE/1fNHsjEFmTIGiMIAkM/jBBTwb48sWeLytLXQnNK6v/faa1BNsUh3wRuD+lM/OJJbJxvyJp2R7/m5WrCuxlkq6LTSutVqtOY/OUhqpQaPp4RjAS4e2U0vx7NRBAM2nsAof7NzyxP6uOBuUzKDw8NIu69SSZjfAOQSSUGhY0b0FN3s7Pk13mh/PPsCBytzYiIL2z5oEYkF9VQWKVi0dQgPr07hIevYcK4NXg7W5uM8TViyvZ2Exno60TCe5Mu+/EGdbbH3lJOdGopEfFFbD2bx2A/JxZO7U2fLg707eLAaxvP8fbmC0QmFuPjbI25XEqId/OS9UO7uhD73sQOlxTdxEUaIiwG+zmLChmt5WB9fu7xvT2u6I4wcfMwGeSbzJV6UjKphCFdXURFjynBniyf2U/0c/XytGfD/DBe/OMsW8/mAYYQwYbIiuYwGeP/BkP8ndkTV0hBpbJZ/cXmOJRcQkAnG5MxbseYvs52zm3BF4UgP7+nX5NJBzOZlM9mhmBnaWhbpw/w+lfrZ+LmMKTeLXUsvbRV5ZUaHcfSS9skhtnEjcPUQ27n3NGvC07W5nTtZHPZ3q1cJmX387eQVlzL8Hq/s4n/Ng3urKiUksvOQTTmREY5So2eW3qY3o/2jMkgdwBuucKy1gY8HaxMEyn/j5BJJYzo0YkDicWtCiE7lFyMmUzC0HaoN2fiIiaXhQkTHZTRPd0oqlZxKquplmNj9HqBPXGFDPJ1xtrc1Adrz5gMsgkTHZRb+3hgbynnrc2xZF0mv4hGp+fDf+JJK6nlnsGmMMf2jskgmzDRQbGxkLP0rmByyxXMWHmESoWGrWfzCP9oH+9vi0Ot1fPB9nj+dyidWaE+TA3pfLOrbKIFTCv1TJjo4JzPqeTOFVHIpRJUWj0+ztZklSlwsDKjsk7Dg8N8ee+OPje7mv+vMa3UM2Hi/wl9vRz4/qFB9O5sz9Cuzux54RbemtILG3MZ9wzy5s0pvW52FU20EpPqdFM6Sj2h49TVVM+2paPUEzpOXU2q0+2RjlJP6Dh1NdWzbeko9YSOU9f2Uk+Ty8KECRMm2gkmg2zChAkT7QST6vRNJK+ijtJ6rbKgzvbImlltpdUL6PQCFq1InK2pT9IuayZhkb4+mTqAk7U5Xk6mVX0mTPxbtGvVaRMGxYU+i3ZhXi/5U44he9u6R4aI8kGCIDD4g71U1Kh55DJKvA2sijQoCFubyzi3cIIoNVOp0PDgaoNwqWej8hHvTDASOzVhwsSNo7Wq0x3eZaHU6Ljvf0fZHVtwU+vx16kcPtgeh64VoooanZ65P8Wg1ur5ae5gHh/ZFYD4/CqeWX+ahlHLHyeyRXHPr/cnU3OJWGcDWp2e/x0yCLQq1DpWR2UABoP+3O+nOZtt0D57fGRXNj1pkHZ69NcTl1XSboxeL/DxzgT+OJHdYtkbyb6EQu79Lpo6ta7lwiZMtIJluxL4YHsc/1ZgQ2vo0AvbVVodE5YfJKtMwZHUUtI/nHxTtPS0Oj0v/HEWAHO5lJcnXlku/N2/Y4lKKWVkj06M7NGJUT3deHViIO9vj+fHqHSW703mQm4l+xKKCPZyYOHUIO76Npr1MVk8MqIrWp2ejadymNbfC3O5lHUxWZTUqFk1eyA/HErngx3x7Esooru7LfsTi3lwmC+LpvZGKpUgCIKopv325gt8NOPKCsYrD6ay4kAqANP6d7kp+ZQFQeDhnwwjs9AP9nL8rXHXJPBpwkQDn+9N4pv9hvf6tuDOzYqk3gz+ta/rVFb5ZXt418oXe5PJqhdPBIjLr2rhiKbo9MJ1t5ANoo4A3+xPpe/CXZzNrqC8Vt3k3BdyK1l3LIuRPTrx09zBYgMilUp4Y3IgYwPd+DIimX0JRfi6WPPp3SEM9HUm1M+Z97fHcySlhA0nc3h143l+jErnSGoJ72yJZYCPIxOC3Fl6V1+6drIhOq2UX6IzmT6gi2iMASQSCatmD2R8kDu/n8jmaFrTfLpltWrSS2oZuiSCj3cmittfqRfYvFYEQUCra7lXfikNwqzmcinVKoPsfFtSqdAQc5XqGyb+HYqqlCQXVrdc8CqIz69iVWQarvUK93/Xizu0B/4Vg7wnrpDpK47w3PozbXbObefyWHEglZmDvDj48mjMZBI2ncpt9fFanZ4jKSUMWLyHW5btJ6f8YnIWnV7gcHIJS3bEcyCxSBwmN2dMBEFgx/l8AH5/bCgA1Sotd3wTRf/Fe/ix3n0Ahh79M+tPY2dpxpf39m/Sm5fLpKycPZCJvd15JNyfyJdH093dDkDsyX60M4GkwhoAzuVU8G197/XjGSFIJBK6drJl34ujeHJUAKN6dmLp9OAmqiQSiYQv7u2Ht7MVr/91HqXmohvg1+gMBizew+hPDlBQpTRsmxcq3vPmXDL6+m1KjY79iUV8ujuRyKRio7I55QoGfxDB4A/2cji5BM1VGOYtZ/Iwl0mJeWMsU/p6smxXIutjslp9fEt8tieRmaui2XKm9e/PzUSj0xs9s6tFoW7bjtGNorhaReiSCMYvP4hK2zauKqVGxyM/n8DGQsaGJ4YxIcidLWebf69vBjfcZaHTC7y3LRaAxMKr78E2hyAIfBWRQnc3W5ZM64tcJmV0Tze+P5zOo7d0xd3+ypI2giBw73dHOZFpSFtYWadh3k8n2PncCIqqVUz8/CAVCg0A3x00+GYH+jpxKqucB4f68vZtQXy0M4EDicUsmd6XWrWOZTOCGdLVhYylU0gpqmbB2tMkFlazeFsc0/t3oaRGxfRvj1Ct1LJ0et/LTqiZyaSsmt00Pt3f1YZXJvXk452JZJfXAbDjvMFv/uSoALq52RqVf2XSld0m1uZylk4P5v7vjzFkSQTrHxuKh70lb28xPKuurjZ8c/8AennaA/DFvf14dv0ZDqeU8P62OMICXHhnam+W7Urku4OpOFmbixEjjWmQgl+w7jQlNQa14wd+OMZAXyc2PDGsRRdTpULDT0cyGNfLDUdrcz6/tx/FNSo+2Z3EXQO92sSFEl9g6IE9u/4MU/p6ihOijREEgeV7k+nv7cjIHp1uiIhpa9DrBR78IYbU4hr2vjgSe8urm5hdtiuBHw9nsGH+MHp3bl578d+gqErJt5GpzAnzw9fFptkyn+25ODpLKappk/quO5ZFbkUdP80djJ+rDdP6d2F3XCHrjmUye5jfdZ//ernhPWSZVMLXswYwvJsL+RXKZieSDiQW8Wt0Rqt7TZFJxSQWVvPEyADx43l8ZAAAEz8/SGWd5orHR6eVisb4t0eH8syYbiQWVvP872cYsiSCCoUGSzMpjtZmDPR1AuBkZjmCAD9HZ/L4ryf536F0kotqWLTVYMAaJ/7u5mbHzudG8L8HDYa1/+I9jF9+kGqllndv7829oT6tus5LubWPIU6irFZND/eLBvj2fteWxWt4N1cW39mHyjoNt35xiP6L9wDwvwcHEfHiSNEYA4QFGJQm3t58geSiGn6OzuSJNSdZGZmKXkA0xgN8HOniaCW6kcZ+GslLf57lbHYF88L9+WnuYKzMZJzMLBefweWoUWmZ8HkkOr3AjIGG1JFmMimP39KVkhpVq1WXBUHgjxPZ7E8sanZf4yHxqvoG+FJ+jMrgy4hk5v50nK5v7GBfwtUpPreWvIo67v0uWhz5XMrB5GKi00opqlYRvGg30amtk3DS6wXGfHqAb/anUqfR8cH2+GbLpRRVM31FFL8evdYMCVemQqHG77XthC6JYHVUBvf971izLsPsMgW/xVycSE4saOq2yC5T8P2hNLLLmk89eilqrZ4VB1IIC3BhVE83AMb0csPGXMbbW2KJrBeBvZn8Ky6LEG9HZg7yRqsXSC2uMdoXlVLCnNXHeXtLLAMW72nVzP+m07k4WJkZpRMc6OvEk6MCqFBoWpw5/fFwBuYyKfHvTWJYgAuzhhgM5OYzBl/Sb48OJWHxrZx5ZwIb54dx9p0JHH51NBfenUh4N1ciEoqQSyU4WZsRm1dFZwfLJnG9EomE8UHuPD2mm7jtiZEBPKaUGogAACAASURBVBTm1+L1XQ5/VxumD+hCsJcDax8ZSqi/M1NDOhPoYd/ywZdh9lBfnhwVIP4/J8yP8UHuTXqunews6OVpT1aZAkdrM2zMZeyJK6SftyNn35nAhieGcfKtcfz15HCiXhvD+UUT+as+omPDyRwAHg73Z1RPN068NQ5rcxlL/0m4bL0EQWDpP/EUVqnEOjUwqqcbnR0s+f14y5Efaq2e7m/+wysbzjF39fEmRjmvUkm5QsNb9Ql4vohIpqha2aQua+oNlLW5YTJxwdrTVCqu3PC3lryKOp5bf5rKOg0f7IjnaFoZH+1MEKNjGrP1bB52lnJeu9UwAvoxqnX+9NPZ5aQV1wLwzNjuhknwklqjMnq9wMsbznEqq4K3N1+gqFrJD4fT+bMNI2ze/TvO6P/cijqiUpo2Kh/vMvSOv5rVH3OZtIlB1uj03PvdUd7fHs+Ij/ezP6FpY3sph1OKKalRMy/cX9xmIZfx5xOG9/ShH2OoVrbNM71W/rVJvQaj0fjG5pQruP/7YwDMGOhFtVLL/d8fFX2SzVGn1rEnrpDJfT2aCH6+MimQIE97/jiRw5/1RuBS8irq2BtfSKi/M1b1H5engxUPDfMlvJsrx98cx7AAY5kbB2szvJyssbWQc3t9IxDs5cDbtwXh62LNCxN6Xnbo/eKEnhx6ZTQPDvPlifrwtuvhs5n92PpUOJ3sLPjj8WF8Nav/dZ/zydHdeHi4P/teHMmi23tfttz8UQF4OVnx4oSejA409DDu6NcZB2szBvk541I/SdLAAB8nTr41jhHdXZkT5ieqHdtYyBkf5M7JzHLi8pp3Y209m8eao1l0d7Nl4dQgo30yqYQpwZ5EpZRe8QMSBIF5Px9Hqxfo5+2Ig5UZc1cfNzJEF+onDAf4OhHx4kg0Or3YUOj0Akt2xHPbV4dJL6ll+T0hxL03iW1Ph6PW6Vm6s/le5tVQUqMibOk+Np/JI+Td3Ww/l8//sXeegVFUXRh+Nr0npJOQENIhhIReQ++gVAVFFBuCfIiIKCDYQCmCDQVFsSGiUhSlhN5DD+kkIY303uu2+X5sssmSSklIZJ9fyc7szp3dmTPnnnvOeUd3scHcUIdJX19QMYbZxRXsC0xhrJct84a4MLtfR45FZDB842n21nO9x2QWM/eXa0zbehGA0PdHM7lyRlXzPSn5ZUzcfJ4bifnKNMw+H51g9YEIlu4J4dszsfe9+B2eWsBfN1KYP9SFhHUTiFw9FjMDbRb8Fsj8X68TXTlTCU7K52h4OrP6Kno4u1gbEVnDbgiCwIB1J0nJL2NCpQjwKzuuN+opHwhJw0RPq5bQaxc7E1ZNVFxjc3+5fl/neL+0mEFWiHSKVL7YL0/cAhRPwQ3TujHC05qrCXnsvl7/E/lGYh6lYhljvGzr3P7DnN4A9eYlVy3ArZ6s2h/2g0ld+fWlvlgZ69b1NiVjutryVB8HvnyqO1N7dODM0mFM79mw0rODuQEfTuqKmYFOg/s9LIx0tXj3sS44Wxk1uN/jPnacf3s4s/t1ZOWELrw4qFOjKtcWRrrseLFvLUP/weNeaGmI+KeOFe6aC6U7Xuxb58NuuKcNYpmcy3H1Z0ecjMzk3K1s/Nws2Td/AJ/P9AVg09Hq2GR4SgEaIuhsa4KLlRFP93FkX2AKR8PT2Xo6hm1n4whPLWSQq6UyZNTV3pQnenbg96tJxGQW13lsgMJyCVtOx7DtbN3GLK9EzJQtF2q9vmycJ1tn9QBg6Z4QVv4dikQmZ8a3CqNaFaIa7aWYNcRll7BkdzB/Xk3iVGQmgiBwO6eECzHZjPz0DEcjFOGVKd3tMdbTppOlIZZGOnx1KobAxDxORWUycN1JItIKmTvYmWVjPZl5h7rI2sOR/Hrpdp3OUlhKAWsP3SQ8taDe7wLgkyNRGOho8spghcHX09bk7bGeFJRJOByWzpPfKvLMn/7uEqb62iwcriiE8rQ1VnHkItOLyCqqoJOlIV8/3YPvn+2FuFIZpSHO3cpmuKd1LUcO4PkBTgxyteRiXA5ZRRUPbZGvxfKQtTU1cLEyIiq92iMKTMzH18FMGXr4/rlejP38HHuvpzCjd91x1qjKp2h9AX5bUz1eHNSJ7efjcVp2kMV3VLgdCk2jS3sTOlnWvZDQGKb62qyd2nDu7qOArame0qu4F8wMdOjvYsHxmxnK6TcoimGq0uvmD3XB1rTuBdrujmZoa4oITMxjZI1wRk1+uBCPnakeP8zpjYaGiGEe1gx0teBaQp5SGDQ8tRBXayPlbGnpGA92Xk5k7g6Fp2Sgo8mPc3rT9w5x0CWjPfg7KIUtp2P49EnfWseWyQVmfntJmYppb2ag9OYATkVl8tLP15DJBSb72vHWWE/e/yect8Z64GxlhLOVEafeHMqwjaf59VIimYUVxGaV4GxlyMDKeL6fmxU3Vo2iuEKK34ZTvLW37rTEqd3t2TC9G1U2RiQSsfEJH+b8eJV1hyK5kqB4qM0Z4MSK8YrQzdqp3ujraOJhY4y7rTHTtwawan84127n8cXM6lmZVCZn4ubzgCL+/ucr/enTybzWGGIyizl3K5uX/ZxVHJOn+jjSrYMpW0/HciAkjc7v+gOK2W7Vb+9ha8xfN1IoKJVgaqCtXDvY9bIiq2lkZWhw88kYkvNK6dDOoNbxc0vEZBVV1Gs3NDREvDXWgwtfZ9P7o+NYGulyYdkwdLVaNt+9RbP8PWo86eKyionJLGZSjQUpkUjEOG9briTkcuJmBlfic7l8R55sdEYR7Qy0sTSq39tcOsaDN0e7A/DZ8WhS8svILCwnNb+MwMR8lRtDzcNjgIslMZnFZBSWk1FYTlR6kdIYzx3szGvD6y8V19PWxNHcQBkXreJqQi4BsdlcTcjlQkwO0+/IxHismx3pheVKQxmWWqByk5oZ6Ci9U4C98wfUMsagiKnP6tuRfYEpbD2t6gELgsDbe0OISCvkrbEe6Ghp8PGhm0hlckrFUjafuMWLP13FykiXfa8O4POZ3bEz02fbs71wtTZWfk4nS0OOLh6sLOQB+H1uP5UMj3aGOjiYG/DWWA/s6nh4zerryCdP+KClqaHiGQ71sGZUFxuuJORibqjDFzN9lcYYFPfie48pFqB7OLbjyjsjGeJuxf6gVF7ZcY2gyvj2d+cUMeznBzphYajDqzuv19L3C07K57kfrmCsp8ULg5xqjdHLzpTPZ/gqnaTeTu14tn9H5XYPW8V3EpVRhCAIHA5Lx9fBTOVhPa1ypvbm7mAyC8vZcz1ZJUmgKhziblv9/d5Jtw5m/PBcb+xM9cgurmB/UCrpBeUtWsnXopV6ndubsD8olayiCr4/H4+etoZyGljFrL4d2X4unhd/ru6ZcerNocofKyq9CHcb4wbTpfS0NfnfcDfGdrVl/BfnGbjupMr2Cd5qg9waGNXFmvX+kfT9+ITyNR0tDY4tHlxvKlRNOloYcrtG3DA1v4wnvrmo/N/WRI+n+3ZUec/ILjYYHojgxwsJvD3Wk4zCCrzsVBdFx3m35/tne+FuY4yjRW1vq4olo905fjNDcQ7O5vRwVGTkXIzNYc/1ZDxtjXnZz5kO7Qx4bdcNNh2LVsmeGNXFRvme+nC3MWbz092Z+8t1eju1w9q47hnDq0NdeXWoYgH5Qkw23h1MG02Je224G8l5ZayZ7EXPjrW92ppYGumyamIXznx6hiPhGRwJz+CVIc78dimREZ7WvDuxC74OZiz6PYgNRyL56unqh9rbe0NIyS9j18v96h2/lqYGRxcP5t/gVMZ42arc310qs31CkvMx0tUiPLWQ9+9YV3CyNGRit/YcCEmjT+X1lJZfxsIRiod6lUH2sKnfIAMM87TmwrLhTNx8XqUQamRnG757tmezVwK3qIc8yFUx1dp5+TYnb2Yy3NO61pTUyli3Vnx32MbTlIllfH8ujsDE/CbnI7paG/PDnN4MqLFI5+NghtM9hivUPFhcrY3xc7NU/j/C05pNT/g0yRiDwnO6mVbId2fjKK6QKheIq1g00q3W9WVppMvwzjacjsoiIFYhENHVvvb1NLKLTYPGGBS53Adf80NXS4O/b6RwOS6Hjw5GsHJ/GDYmuvy9YCDamhqM72qLmYG20hi/7NeJ1ZO78tZYjyadp66WJj+/0If/NTBjqMlAV8sm5Sd7dzDl8CK/Ro1xFa7WRnw7uyerJ3mhr63Jt2fiKKqQMqO3AyKRiEm+9swf6sKBkDTe3B3MZ8eiCUrKJzK9iPcf61JrsfxOtDU1mNqjA4a6qn6ijYkebtZG/BOcytGIdEQimNCtdqrn+mnd0K9RUr/pWDTx2SWcic7i3f3hmBvqYGPS8BoRKGYH3z3bizk1MqKO38wg7wFl1TR47JYUOZXLBXquOaY8sfXTvOuMFcvlAtdu59HV3oRJX13gVmYxdqZ6pBYo0pH2zu/f5IuoirwSMaejM3ncx77O9pRqHg6CoPitnS0Na2VpNEZEaiHjvzwHKBaN47JK0NHSIOjdUYSnFtLDsV2dv/We68m8uVvRe6SdgTYXl4+4r94Yr+68rizSqWLpGA8WDKtOeTx3K4sDwWlM6m6nzOluyxSUSvjwQAROFgbMH1pdD5BZVI7f+lNU1Ehf1dQQcWXFiLv+fWvy6bFoZRJAr47t2DN/QJ37xWUVoyEScTk+h7f3hmJmoK0s8prYrb2K594U5HKBb8/GMdrLBpdGFr0boqkipy2uOr0vMJk3/gxGQwTXV45StpqsD7lcoMt7/pRL5BjqaLJ0jAdzBnZq8D1qHh12XUlkg3+k8iF/88OxygW6+igoldBv7QnKJDKWj/NUFhXdK/5hacz7NRCAJaPc8WxvwjAPqzor/h4FYjKLuJaQx7v/hCOWyhnhac32yuyneyWzqJw+HylCEZuf6q5Sg1Afy/eFKItLpna358PJXTHSfTj91FqtQRYEgasJebjbGDU5Dex0VCav/xHE5qe618ohVKPmUlwOL/18jY+neivzxBujqFxCUFI+/Zwt7rv8WiyVs3RPMD0c291X4c9/jaj0Ijb4R/LqMFdlxev9EJKcr0zbawqF5RJmfHuJHo5mfDTF+76Pfz80i0FWq063OtrKWNXjfLC0lXFC2xmrWnW6NdJWxgltZ6zqcT5Y2so4oe2MtbWM89EMcqlRo0ZNK0RtkNWoUaOmlfBIq06n5peRVyrBs71xnYrPah4sckHgZloRpvraatVrNY8UatXpRhAEgU7LD2EDbH6xL4Pc2n5uaGvnclwOM7ZdAiBgzbg6m7yoUfNf5JFRnb6TI+Hpyjr7hkiuVN0ACE5ufH8190+VNh4odM0aIzgpn2MRzdMIXo2amsRnl/D3jZSHrkDdplWnk3JL2XAkipGdrTHV12bJn8HklIixMtbl0vIRDVbkBSZWq1WEJOfzx9VETkVmsWVWj4cmz/NfRBAEXvs9iH7O5ioG+UZiXoNKv2KpnOd/ukpuiRhbEz3WT+9GcbkU//B0loxyV5e/q7lnJDI5nx6Lplwi44WBnVh7+Kay0tLOTL/ObnUtRZs0yPHZJby6M1DpZd2pGptVVMHW0zEN1v4H3s7DQEeTYZ7WHAxJ40i4whM7H5PNYPcHV3xy4mYG5oY6dG+kiUxrIDgpn8yiChV1jvvl2u08/g1OVf5Go7rYcCMxj/B6GtNX8fWpGHIrZaHSC8t57ocrym3/BqfiaG7A5qe6txr5djWtH5lcYPm+EP68Vt2Y/8caIsSgkCg7vMjvoTllrS5kIZXJ+eNqYq0WflVUSGW89PNVbqYV4mCuz5Tu9sptcwY4cWXFCPo5m7PxaDQ7LibUe5zAxHx8OpjRx0n1abjz8oPTEttxMYEXf77GlC0B9TbMby0ci8hg0tcXePmXa/xwvmmyQE1hx0XV73NkZ2u87EwbDBPtuZ7MFydu4eNgxrWVI5UNzQEm+9rhYmVIYm4pi/8MqreReEp+GX9eTapTKVzNf5OrCbkNSjl9cTyaP68lo6UhUvGCbUx02TOvP+umehOVUcTsHy4/NGXuVuUhC4LAKzuucyIyEy87Ew4sHFSr3d3xiExis0p4/7Euyp4WC4a5UlAmUZZnfvV0D17dGciq/eF0d2xXq5tXZHohYakFLB7pzhO9OnA5PofHfewJTy1g88kYdly6zex+qm0b75ao9CLe+yccHS0NxFI5S3YH85eVoUq/29ZCcl4pi36/AYCOpgarD0bQp5N5nV3Q7oZfLibwT3Aqrwx2prtjO/YHpTDJ157cEgnr/SO5nVNSq7NbTGYxK/8Oxc3aiG+e6YGlkS7Lx3dmnHd7jHQ1ld/fjxfi+eDfCA6EpDLJ177Wsd/4I4jL8bn8G5LKz8/3UYeh/uPsD0ph0e9BAJxdOqxWp74KqYzvz8fj62DGvvkD0NAQUSaWcSIyg/Fd26OhIaJnx3akF5bzxYlbfH78lkp/6JaiVXnIEWmFnIjMRF9bk/DUQs7HqFYypheUs3BXIO0MtJlVw2C6Whup1MpbGuny3bO9MNHT4u29IbVkZzb4R2Gsq8Wz/TtioKPFllk9GdvVlrmVntiqv8NIL1AVurxbjoanIxfg/FvD2Du/P8UVUp774SrZxRX39bkPmrwSMdO2BlAqlrHr5X5cfWckGiIRh8PS7utz80vFvLs/HA0RLByh6E299Zme6GlrMqW7Pframnx8SFVyRxAElu0NQU9bk50v9aW9aXVqnK+DmcrD7Ln+Tlga6bLo9yCV9QBQeEqX43Mx1dfm3K1sLsfXL/Okpu0jCAJfn4rBpFLp/PPj0bX2eWXHdUrFMhYOd1U+nPV1NJnYzU75v0gk4vWR7kzyseP7c3GNSlI1B63CIAuCQEp+GZ8ejUZfW5NTbw7F3FCnlnDjpqNRyAXYMqtnow1hTPW1eWdCZ8JTC7lUQ3Vk45EoTkZmMn+oa63mRsZ62hxe5AfATwEJ93VO/uHpdHc0w9pEj54dzdm/YCCpBWX8fJ+f+6D59dJtMgor2DqrB/1dLDA10KanYztORd6fJHrV97dn/oBaHbZsTfVYMMyFI+EZrK1hlK/fzuPa7TxeH+GGtUndjcyr0NAQsevlvpjqa/OJf5TKtoMhaehqaXD6zaEY62nxzZlY0grK6vmktkFJhZSPD91k/q/X+Tkg4b4038JSCvjw3wje2hPMjTseZm2NzMJydl9LJjqjmGXjOjO7X0cOhqZRLpEp9zl/K5vTUVlM6W7P8Epx3oZYObELBjpa/HRHfLklaBUGedvZOAauO8mJyEyWjHbH1lSPoe5WnI7OUsYAw1ML2BOYzNzBzo02uq7iMR87zA11WLU/jJT8Mn66EM9Xp2KwMdHl+YFOdb6nc3sTxnrZ8tvl242q2NZHUm4p4amFjOtaLcTarYMZIzvb8MvF2xRXPJz41J1USGX8cuk2Q9ytGFdDRWVMV1si0gq5lVHUwLvrJz67hK2nYxnjVb8ixsuDnelkaci3Z+PYcjqGpNxS3twdTHtTPaY1IhpbhZuNMc8PdOJiXA5XKr1gmVzgQEgawzysaWeow6IRbpyJzqL/2pNs8I+8p/O5GzILyzkZ+WBT9fYFJuP13hG2nY3jcFg67/0TTt+PT5BZdHezOLlc4NOjUUzcfJ4fLsTz57VkpmwJYNLXF1QM2P2SmFNKQEzz9xOKzSqmz8cneGtvCD0czXiiVwdGdrGhQirnQuXxZXKBNQcj6NBOn7VTvZuk+GFppMvjvnbsu5HCsYgMDoSkcjY6q0VS4lqk/ebmE7fYdEwxjXhnfGdcrY0Y5GaJtqYGGYXlDFh3EplcYPtzvRjRWbHC7x+WzrxfFUKTm5/qjn9YOuduZXHu7eGY6jeuhlBFQEw2T9dQktDX1uTwIr8G06Zis4qZuiWAgjIJxnpafDjJiyndm2YkUvPLmLvjGmEphbViWTcS85iyJYCxXrZ8M7tnk8+huXj99xv8HZTKzpf6MtC1ujAmraCMAetO4tPBjM1PdcfBvGHljCr+DU5l4a7KWHQTpJhyS8SM2HRaRYnhzrE0RplYxsD1J/HpYMrk7vYs/iMIuQBfPd2did3sEASBM9FZzP3lOmKZnBNLhuBiZYRcLhCcnE9IcgHv/RMOwFtjPZg32OWe480SmZz+a08qw1JhH4zBSFeLPdeT+SkgnrCUQr6Y6cskX3t2XLrNqr/DMNRRzAhrzgjkcoF1lQ+Pl/2cGbj+JGKpnKnd7Xl+YCd+v5rIzsuJgKIR/kt+nRoV4zx/K5sVf4WSmFuKjpYGO1/qS+DtPD45EoVULrB+mjfe9mZ8fSqGBcNc6VJD1koQBFb8FcauK4nYmOhycdkIUvLLePmXa0SmFzF3sDOvDnXBzECHjw/dZNvZOAD2zOtPL6d7TyGLzy5h2MbTAMzo5cAgN0sGuFgoG90/8/1lzsdk8/xAJ5aO8cBARwuxVI77ysMAPNu/I72dzFm464bye28qheUSHt98noQayQUXlw9XCaPdDa2mH7JEJqfH6mMUldf2CpeP82RvoGK6cfyNIbhaV3fkL5fImPz1BSJryH/PGeBUS06+Kfx66TZbT8eydIwHQz2smtSH+frtXN7aE0JspYjmD3N6Mdyz4XSw67dzmbZVoem2bJwn8+pofN5j9TFyS8RcWTGi0Wl5c5JTXEHPNccx0tUi7IMxtbZ/fy6ONQcV4YTd8/rTu5Eb6/ytbJ7Zrnjw9erYjiWjPZo0kykolXAqKpP1/pE8P9CJuYPvvll8TTUJUMjG//XqQJVG9ekF5fRbewI7Uz1eGeLC6gMRSOuZ9q+e5MXs/k6NHlcik/PCT1c5dytbRdGmiqf7OmJvps8nR6Lq+QQFDub6nFwyVBmGm/PjFU5HKUJG7jZGRGcUc2zxYNwq9eAEQeCz47eU5/y/Ya68OaZ+OajUfMUDFhSLtgHLh2NZadQEQWDcF+dIyClBX1tT+XC88s4Ipf7dH1cTeXtvaIPnoK+tydZnejDnx6sqr7tZG5GYW4qFoQ7rpnVrUkppdnEFA9aeRFxPhszUHvY4mhvw+fFbLBrhxuJR7irba167Vdz6aNxd972Oyypm9vYrjPe2ZbinTZNn5nXRagwyQKlYSmZhBfo6mizcdUM5vaxiQrf2fF2HtIpUJichp5SPD93kZGQmIe+PbpJW2IMkNb+MqVsCsDTW4d//1c76AEWWgrmhDn7rT5FTImb15K71Zmmcisrk+R+vsmZyV56pY58qefq6yCgsx0BHE+Ma30FJhZQKqRzzepRX6vu8v24ks/iPYLbM6sH4ekRff7+SyLJ9oZgb6nDurWHklYrrlFgHmLrlAtEZxRxYOKjFizaKyiV4v38UPzdLPpzUFScLgzrPecVfofxW6VmCQr5piLsV7z7mRXx2MSduZrKlUvfOz82SL2Z251ZGET4OZmQUlpOSV8aASu+9TCzjlV+vczZaNdY+tYc9m57wYc6PVzlTY9uHk7xwtzFmg38kgYmKlL8V4z3R0tDgwwMRrJzQma72pjz93SXkAioG3tPWGP/XB9c6n0OhaWw7G0dwcj6fPulT5ywuq6iCcV+cI6ekgsUj3XlhUKdaMf3fLiey4i+FwTXV16agTGGU5w91Yc4AJ4ZvPI2VsS5/zuuvVO0QieDzGb5oaWjw0cEIlYfRscWDSc4v4/k7jDPAv/8bhHcHRfZOUm4pcdklDHazJDSlAEsjXQJic5TyWoNcLRnnbcu0Hh3YdSWRD/6NqPV5kavH1im/lZJfxtnoLJbvC+WzGXV/Ny1JqzLIdyKWyonPLuFEZAb5pRKWjHZvdMr1MKmaXq6b6s3MPqoagH/fSOH1P4KU/zfmXQmCwJBPTmNmoM3+BQMRiUTI5QISuZydlxL58EAES0a5K9Vyq8gtEeO3/iRd7U3545X+ytef//EKF2JyOP7GkFqpPlWpYW+P9eSFQU5oa2igoSFCEASe/eEKoSkFBK4c1eAUffe1JJbWUN/dMK0bT/Z2UNnneEQGL/1y7YHIITUnUpmcdYcjMTfSYYi7Fe42xrW8pvxSMb4fHqv3Myb52jHWy5b5OxWSTY/72PHOhM5cTchlhKeN0ivPLCzn9T+C0NXSYOkYT5UQQGR6IR3NDdHX0UQQBJ7+7jIXayw8D/Ow4rtne/HblUR+upDAj8/3rjf0U1guYeKX50nMLWXjEz5MrxF/LxPLGLrxFBmFFSrhwDuRyQVW7Q8jJqOYn17ozYmbmcrQUxX+r/vhaWuCWConOa8UCyNdZeiwoFTC3kBF7vj6ad6MrVSSr1IH0hBBiVimLO754HEv9LQ1GvS663NqkvNKCUku4ExUFs8O6NhkweOHTas2yG2NUrGU0Z+dpaRCyvE3hqiINU7ZcoEbidVFDk2ZGm08EsVXp2KY2duBsNQCwlJqV63NHezM8nGeSoPdf90JMgoVscnXRrjxxih3vjxxi08rY/OGOpqEvj9GaVzXHY7kmzOxtT7X2cqQ8V3b89WpGF4c1IlVE7vU2qcmcrmA57v+iCtFKzu3N1FmolR9NyM2ncFYT4s98we0+AymObiVUcRLv1zjdk4pIzytORGZiaaGqFZmw9Tu9nw6w/e+j1cz1BWwbDh2ZncXp4zPLmH61gDySsUM97SmbycLItIKORmZSUGZhIXDXVkyumkK1zVZ9PsN9gelMqqLDd89e/+92y/F5TCzsrnUnTiaG6CtKSI2q4SPpnRlVt/7qwNobagN8gMmOqOICV+eQyITsDPVw9xIh+XjOjN7+2X+N8yVPp0s6GRliH0TbiaJTM6qv8P4/WpSrW3bZvfkz2vJHL+ZwdTu9iwc4cboz84gkQk85mNHeEoBcdkljPe25VBoOm7WRnjZmfB3UCo6mhocXTyYHy/E8/PF24z1smVWP0dmb79S6zgDXCz48fneTZqZpBeUE5leSERaIRv8o/hhTi/WHookvaCcogopGiLY9XI/+jrfe4ytNZNZWI6RnhZlYhlfn4rln+BUvvn/FAAAIABJREFU5g1x5iU/58bf3ET+CU7Fxcrwnj2+qPQiJm5WXJ81mdXX8Z715CqkMvYFpjCuq22T9S8bIzgpXxm/XzjcleGe1iTmluJoXneY6b+C2iA3A7uuJLJ8X+1pVl2VQY0hCIJyhXv5OE8Ky6Sk5JfRxc4EuVzgixO3+KLGQpWzpSFHFg8mr1TMoPWnEEvl6GhqcGHZcMwNdRj/xTmiaqSpzeztwJrJXdHS1CA8tQArI12sTfT48UI8N9MKWTe1211nE6TmlzFo/UnuXAv7cJIXzzZhEUxN85JZWE6ZRMa2s3FM8rXH0kgHJwtDdZViK0BtkJuJtIIytDQ0uH47l3m/BrJgmAtLx3g2y7EOhqTx66XbLBzhygAX1bS0t/eG8vGUriqLbEFJ+Wzwj2S8d3tm9XVsFo/ji+O3+Ox4NN8924vujmZIZPJ7TgVSo+ZRQa06fe+0lXFC2xmrepwPlrYyTmg7Y1WrTrdG2so4oe2MVT3OB0tbGSe0nbG2lnG2itJpNWrUqFGjNshq1KhR02p4pFWn1ahpTRSUSUjMLVXmPNub6ddbgdkciKVyYrOKkckFBMBARxMXK6NG36emcdSq0/eJWCpHQLjvCkK5XGC9fyTfVjZc6eNkzq65/RrU+2spZHKB1/8IUsorvezXieXjOt93mlSFVIYI0X9SVTogJpvcUjEnb2ay70YKKyd0bjAfObdEzJnoTAa6WNbbuyQ5r5SAmBze2htCzSJ2OYpVpusrR6oUI4GiCq+qWOfniwnEZhWTWVjB8wOdiMkqxsXKiKvxuaQXlqOnrcnM3g74OpghQJ2FSx8djOC7c/HcaTHsHcz4ZHo3XKyM6r1mQ5LzSS8oZ1QXm3oze6Izihj92VkczPVZNMIdU31tenVsR7sWfOA8TJqqOq1Oe6uDcomMCV+eIymvrNGOZfVRXCHlvf3h7A1MrrXNzlSPgOUjmvxZEpm8SY1RmrpfFUM+OcXtOqSyJnRrz9qp3vdUdZddXMHQT05jbayL/+uD26RRDk7KZ8qWCwz1sGb5OE8i04tqlRLXpKpXQlXfkJT8MtILyvnlYgKHQtOQyAT0tTUZ792eZeM8sTJWGNdDoWlsOR2jUql5ZulQOloYUlAmweeDo8rXz789TJniWNVj5F6xN9PH/3U/jPW0KZfIWPJnMAdDFYIEVV3RBEHg7b2q+nMLhrnwv2FuyvLw7efj2ReYrNRHtDbWZdXELjhZGNLV3gSRSFGmX1gmZeJX50jKrbsndVd7E3a80JffriSy6WgUr49055Uhzq26ncLd0qrykP/3WyAikYhNT/g06QZtqMFOc3M4NI1Xfwuk6mvxdTBj7/wBd+XRyuUCU7YGEJykKKlePs6TuYOdEQRwXnEIgOk9O7B+Wrd6P7egTMLbe0Lwr9Ti87IzYc4AJ6b26KDyHkEQ2BuYwo5Lt5XHe8zHjtWTvOqtrpLLBT48EKFsIh+9ZhzamiJ+vJDAXzdSCE0pwMnCgJNLht6VtyyTC0z/JkBZSm5lrMtHk7sy2su2kXc+eKqu66ZcRxVSGa/+GsiNpHylsGp9LBjmQjsDHbzsTOnuaMYLP10lILa6D8WdJdbamiJm9Hbg10vVTY1+er63supRMUbwtjdl/bRudG6v2vZy+/l41hy8ib62JjP7OKiIcprqa+Ngrs/ike70dbbg82PRWJvoMqGbHUGJ+fiHp7NohBsGOppsPBrFvsAUjHW1KKrsxz27X0euJuQSmV6Ep60xfy8YqNKoRxAENh6N4utT1SX4Hdrps212L1btD+P6bUVz+95O7UjNLyclX9Xg1vwutDRE/D63H1bGuuy+loyFkQ6fHYumsI4ukDXx6WDKR1O8mywn9jBtR0O0GoMsCALTv7mo/PH2zOvP1YQ8nCwMGONlW+uGPxmZwQs/KY5hoqfFn/P6o6UhwtnSqFkrjqQyOc9VNuoBhcEc6GrB4j+C6+3MVh/fnY3jo0M3edzHjs9n+KqMu1QsZeqWACLTi/jgcS+eG+BU6/2rD0SwvQGh0bmDnVk43JVvzsSq3Cx38lz/jrz/uFetC7SqZ629mT5HFg9W6f4llwssq1TmXTrGgwXDXJt83tvPx7P6QARzBzuTXVTBvhspAHR3NGP3K/3Rusv2h3eDIAikFpRTUCphxraLynav22b3rPVAkMsFjt3MIC2/DFtTPebvVDyA9bU1KZPIsDTS4dWhrgzxsGLT0Si0NDRYNs6zzh4TuSVipn8TQFxlm1YASyMdNDVEzOztyOsj3ZTf/wb/SGU3OQA9bQ0Clo1oNE58O6eEp7+7rDR4XdqbsHtefwx1700S8+eABGUPaKi7YdSdyOUKj3l3DRUfWxM9/F/3Uz74g5LyWbEvFBN9LS7FVXd01NQQsXaKd53HEARFY6OQ5AJm9XWko4Uh28/HcywiAwMdTUrFisb574zvjKOFAUm5pUzr0aFWqKOq418Vb452Z1rPDhjqamGsq/XQjXSrMcigCAGsORjB/hupyqdzFVFrxiqnJhdjc3jqu7qbjwAY6WqxYnxnZvZ2eODGeevpWNb7R9LV3oTfXu6HiZ42giAw49tLXEnI5dBrfnSxMyEwMY8P/43A2liXQW6W6GppMNarPbmlYvJLxSTllfHarhsM97Rm+3O96rwQBEFg9vYrBCbmceT1wTiYGyCRyfnqZIxKufQTPTuwYXo3ANILy1mxL5RTUbWllfzcLPlkug82Joqp8Iq/Qrkcn6s0EvOHuvD6SDd0tTTJKxEz5JNTyOSCSjOiO5n7yzWORmTwxUxfHM0NMNTVwsZEjyNh6Ujkcs5FZ5OUV8qK8Z0Z6GrJrYwiRn12lr6dzPl9bj9EIhHFFVJmb7/MjcT8OjvY3S9yucD+4BQ+P36rztBLFb++2JdBbopKR6lMjucq/1q9kGf1dWTVxC7oaGrc87VVUiFFV0sDTQ1RvQYgp7iCxX8GM6qLDU/26tDkaXl8dgk/XYhnZh9HFS/6XpFVrm10dzBTUYtpjIDYbD45EsW8IS6MaWDmIwgC5RK5Sk/qu6HKLv0bksbmE7e4lVmssv3PV/orlaNLxVImbj6v8lC8k8m+drz7mFeLLpLWpFUZ5Cqyiir49FgUFoa6fHUqBoC+nczZ8WJfCsokDN90mqJyKfsXDMTHwYyQ5Hwe/+pCrc9577EuPF+pOP0gEEvlDFp/EoNK9YaaN1NEaiHjvzwHgIYI5DU8qYa4vGIENg00oI/NKmbMZ2eRygXeHO3OxqPVwoyDXC3ZPqdXnTdruUTG7mtJ3EjKp7uDGdN7OtR50UtlcubvDORYRLWc0JJR7mw6Fo2Whoh/Fw5q8MbOKqqg90fHGzxHYz0tisqlGOpoUlLpyRxYOEhleikIAiM/PUNBmZTzbw+rs3ftvVLlkd/Jrpf70d/FgvDUAiZ8eR4jXS1OvjmEdgY6PPfDFWWIYcEwF1Lyylg61rNJTaHUPByqQjep+eUk5ZUqr+mqlqCv7rzOodB0ZaP+UrGUaVsvcjNNtYuit70p+xcMfCi9PVqlQa6JIAgs+C2QQ6HpvOzXiWu38whLKWDf/IHKBtY1KSqXkFsi5qWfr5FTIubM0qEqjdrvhz3Xk3lzdzA/v9CHIXUoGtzZ8/j4G0MQiWD53lA82xsTmlKAnak+mUXlSGQCH0/xVul/Wx93fq5PB1N+ebHvXUlUNUZRuYQFv91QaaS+YXo3nuzV8BQVFH17V+wLRQDszPRJzi2li50ptzKKWD25K0a6WvhtOKXcf9MTPnXq4V2IyWbW95dZP82bGb0da22/F4orpHi/fwQrI11+fakvtqZ6dS5ChqUUMGXLBbramzLAxYKvT8UyxN2Kn57v/dCnsWrujX+DU3n9jyA6Whgwtbs9G49GM3+oC2+Prd1TpqRCqmimf/wW287G8cn0bjzRhGv/QdPqDXIVb+8J4Y9rijaUb4xy57VGprXBSflM+voCj/nYsWZyVxKyS5AJAl3amyi9r7sJ7FdJ2AiC4onb0FTTPzydp/s82KY9BWUS/g1Oxc/N8p6yOZpKWkEZxyIyeNzH7oG1UgTF97fzciLDPa3r7eMrCAITvjyPWCbn6OuD78lDqZDK2Hs9BQ9bI1ytjPnwQAR7A5P58qnuPO5j1+B7a2o6juxszffP9b7r46tpXVQ95AE8bIz5d+GgBhMG5HKBqVsDSM4r5ecX+mCsq01eqRgnC0NMDZq/h3ebMcjlEhkb/KMw0ddi0Qi3Jhm7OzXUqujc3oSbaYUY62oxsosN66d1azSro0pMtaleo5p7o2o2sPmp7jzWiAGVyQVW/h3KriuKB3UPRzOl7FFN5gxw4r3HujR6zQiCwC8Xb5OQU8KS0R61JIzUtE0Oh6ZxJDydZeM6Y2vauD5lWEoBs7dfVhHVBejZsR3Xb+fhUzkz3/Skr4q+54OgzRjke6VKVNNIV4sZvR3qzEqY3rMDn0zv1uAN+/Iv17iRmM+l5cObNQvgUUcmFxi84RQetsb8MKd+D1UQBFb+HaZUVa6Jn5slQYn5FFVI+fH53gzzsG7OIav5D5JVVMHs7ZeJTC9izgAnZepnTRzNDfjnfwMf6EyyqQa5zboKg9wsSVg3Qfn/K0OcuRCTzUBXS6yMdFl3WFEdV1Qu4bMZvhjo1D7VzKJyTkVm8uKgTmpj3MxoaogY29WWHRdvk1cirrNCq1wi4/Xfg/APT2feEBfeGOVOUbmEgNgcXKyMmhSXV6OmIawqC5aqWDzSHf/wNHp2NMfBXJ/A2/k89+MVpm4J4Munujc5//lB8Z+xQtbGekzp3gFrYz1EIhHLxnky2deOI+EZdHn3COV1ZEVsOxOHVC7wRK+Hq0j7qDCjtwMSuZzvzsXV2lYmluG5yh//8HQGuVry9lgPdLQ0sDDS5TEfO7UxVtMsmBpoM6O3I67WRuhqadLfxYJvnulBXHYJEzefJzAxr0XH858xyHciEon4bIYv/St13pZUSotXUVAm4e+gVAa7W+FqbfwwhvjI4W5jzPiu7dlx6TaF5apxvLf3KpStezu1Y8eLfdQZEGoeGsM9bfhipkK8du4v18goLG+xY/9nDTIojPKuuf14faQbB0PSuFHjaff+P+Hkl4pZNKLplWhq7p95Q1woFct4568w5WvhqQX8G5LK/KEu7J43QG2M1Tx0Jvnac2zxYPJKJXxdWTPREvynDXIVzw/shKm+Nt+fUyz8bT5xi79upDB3sDM9O5o/5NE9Wnh3MOX1EW78G5zK1soy4p2XEzHQ1mTeYJeHPDo1aqpxszFmsq89v19NoqBM0vgbHgCPhEE21ddmWo8OHAxNo/dHx9l0LJoBLhaN5jyraR7mDXXBz82S9f6RjPr0DL9dTmSYp3WL5IOqUXM3PDegI2KpnMlfXyCrqKLZj/dIGGRQlMlaG+uSVVSBTwdTfpjT+4GW8appOtqaGnz/XC/6OJlzK7MYbU0R707s8rCHpUZNLbp1MOOVIc5oiMCsJQpI1KrTtWgr44S2M1b1OB8sbWWc0HbGqladbo20lXFC2xmrepwPlrYyTmg7Y20t43xkQhZq1KhR09pRG2Q1atSoaSWoVafrQCoTSMorxcJI55505R51iiukZBVV0KGd/l1p/KlR819FrTp9j8jkAhO+PEd+ehFi4Pc3Bqsr+e6CuKxihm86gzFgbW3E4UV+6j4hah55mqo6rb5T7uCPq0lK0UdQNLZW03SqNP687Ey4lVnMjkv3mpSjRs2jxyNtkAVBoGbIprhCyhcnounZsR2HF/nR3dGMA5WaXmoa55szsewNTKaHoxkHFg7Cz82SjUeiKKjRf/bO71yNGjXVPNIGeea2S3RafoiySj24gyGpZBRWKJWC10zuCsCmY9F1dotrKfzD0nBadhD/sLQ6tx+LyMBp2UH+DU5t4ZFVUyGVse5wJAAfPN4VkUjEG6PcKRHL+DdEMa5yiQyXFYeYsiVAbZTVqKmDR8ogy+UC5RIZEpmcHquPcTleIVXe+V1/frwQz9t7QwHoV9khzsvOlNWVRrmuhuktgUwuMO/XQADm/RqI/A61ZEEQePkXRVx/4a4bSGTyFh8jwP4ghdFdOaGzUhOxWwczxWt/h7HnejKeq/yRCwq5+E7LD1EhlVEukdU6JzVqWhuyFrpG/5MGOTgpH6dlBzl3KwtBEEgvKGfr6VicVxxi0PpTuL1zmNwSscp7Pvi3Wr24ZmbAM30dcTQ34FhEeouNvybnY1SLh+7sPHUoVHVcJ25mNvuY6uJMdBaGOpq8UEMNXLOGdt6bd7Q/BfBY6c+QT07hvOIQX5+KIb1A0ebwclwOTssOcv12y/aiVfNoUy6RMXjDKV7deR2ZXKBCKuNyXA7d3j+C9/tHWsTZabOKIfXx+5VElu1TeLqzt1+ptT27uLpByBczfZnka8+BkFT+99sNAM4uHaayv0gkYqCrBbuuJLH3ejKR6YUM9bBmoKtlM55FNf5haWhqiAhcNYoRm07z88UE5g5xRldLE5lc4LPj0Vgb63J66VB6rznO4bA0xna1bZGxXY7L4VhEBt0d23EwJI0J3drXEjC9tHwE/daeAKpVqQ+FpvHqToXXn1Go+D0+ORLFJ0eiVN47bWsAqyd3ZXa/ji1wNmoeZTIKy+n7seI6Tcwt5VDoIZXtg92tEEvlzZ7G2eIecmG5hJIKaaP7lVRICU8tuOvPX/FXaL3bJnZrr/z75xf6MMnXvvJ1O44uHsyNVaNwtDCo9b6n+iik65fsDua7c/HM+v5yi8SUxVI5/wSlMrW7Pab62nw2w5fsYjG7ryUDcCwinZjMYt57zAsDHS2m9LDnYEharebvzYFcLjBj2yW+Px/Pgt8UxnXOAKda+9ma6hH87miOvD6YaT0Vyizjvdvz28t9lftM7W5f73FW/R1W77b6CE8toLgJ15hEJqdC+vDWBtTcHU255+RygaCk/Lv2Zo+E1z8DNjPQ5qc5vTFsAXHcFvWQxVI5wzeeJrtYzJUVI7A2qa0UKwgCU7YEEJSkUBm+uHw47U3rlpe/k4jUQuQCOFsacmLJECqkclLzy7gQm8MzfR0RiUR89XTd73W3qT/XuFsHM7Q1RUhk1XGkT49Fs2J8Z+X/OcUV9FxznJ4d2/HnK/1Vpuv3yuGwNErEMsZ4KTzeQa6WOJjr809QKs/068jhsHTMDXWUHvHjPvb8eikR/9B0nux9/wracrnAcz9e4dytbK68MwJr4+rfa9fV2jH13k5195Y2NdCu1VpzgIuqJuKmJ33YdSWJvs7m2Jvpo6ulwYhPzxCXVUJYSkGTtc3yS8VM+PI8AJ62xhxe5Fdnw/v8UjHP/nCFnGIxJ98cgq6WuvNfa2bb2Vg+PhTZoDr82egsnv1BMSueM8CJ9x/3atJnS2Ry3t0fDkDgqlFoaYrQ1tBg341kJni3f6Bip43RYh7y2egs3FceJrtYEbtdeziSuKxi4rNLlPtkFpaz5uBNpTEGmPTVhUY/WyqTs+KvUMZ/eQ5QqFKIRCL0tDVxtjJidr+O961CcePd0Rx/YwgJ6ybg62DGtrNxxGQWK7f3XHMcgOu387iakHtfx6rCPywdYz0thnkq1JVFIhHjvdtzJSGXgjIJR8MzGOZhrTT+vTq2o52BNkcjMh7I8W8k5XHuliKG3eejE8rXk3JLeeevMDpaGBC/djyHXvMj5P3R93UskUjE030dcbEyQk9bE5FIxKLKftUTN59nwc7AJnlIj311Xvl3ZHoR7+4PJ7OoWoInLquYxJxS1h6KJCS5gJT8MjxW+nMysvo7C0nO54lvAvj10m11NkgLcjOtkKlbLiiFCwBKxVKclh3k40OKDJ6Vf4dRUCrhYmyOcqGtoEzCrYwipTEG+CkgoUlN5fdeT8btncMAGOhoYm6oqM7V19FkVt+OLWqM4S5Lp3v16iXcS6VeUbkE7/ePAmBtrMtwT2t+v5qk3G5uqMMAFwsOhFSndX35VHde26WI6/78Qh+GuNdddVglL5+SX6Z8LX7t+GaVAdoXmMwbfwYzwtOaiT7tWfxH7QWrhHUTKCyXsOVULN+ciUVHU4OQ90c3uQfz4dA05u8MZGZvB9ZN66Z8/Ux0Fs/VuPC2zOrBeO/qUMyqv8PYcek2n8/wZXIDoYCaSGRyeq05TkGZhJcGdWLhcDdMDbRxWnaw1r6fTO/GiZuZ+Iens26qNzMrwznNgSAIuK88rJyZGOhoEvLe6Hor/wJisnn6+8sAfDu7J6/suK7cNsG7PWdvZVFUXh3KmNHLgWu3c4nNUjgF11eOpKRCxuBPTin3sTXRQ1tLxMoJXZQzldZEZmE5ZgY6lEtl9FpzHId2+hxa5MevlxJZfSCCbbN7MtrLlvjsEpwsDFqdPFZOcQWv7gxEIpMTmFjtiM0b4sKycZ4s+C2Qg5V2YeMTPrUWh7+Y6cui34OU/3vbm9KzYzt+CkjAz82SHS/2pT6+PxfHmoM3lf9ffWckVsa6D+rUVBCJRNeb0k2uRQzyG38Ese9GCisndOYlP2fySsSM+fwsmfV04F8/zZsZvR0JTy1QTj+PLR6MW42wQtW4Q5ILmPS1wotePNKdV4e5NHvgXRAE+q89Sfod4oeHXvNTeul9O5kr0+qqqLpABEFgye5g9gWmsPOlvgx0tSS9oFzh5Xu3Z3rPDkpjeHiRH53bVysuy+UCziuqFxxiPx6vEh6JySxi5KdnAcVD4c9rSRwMSWP9tG7YmupxOS6HGdsu8WSvDqyb2g0NDREv/XyN4zdVvereTu24mqDIcji6eDCjPzurst3N2ohjbwy5p+/vbpDI5Hx/Lp71/goPae/8/vRwbAegYlzis0sYtvE0AH8vGIivgxn7g1JUbtaa6GhqELB8OJZGuvx4IZ4P/o2gq70JYSmF9Y5l6RgPFgxzpbBcws3UQvpWpkc2B4IgcCEmh05WhtibKUJ2M7dd5FJcLmsmd+WZfh1VFrCbQh8nc76d3RMB6LH6GADXVo7E0kiXMrGMa7dz8bIzxdyw+bzCpNxSCssleNmZcjunhCGfnK533wne7TkUlkaHdvocf2MIOpoavPZ7UL359sZ6WoS+P0blHnm2f0c+nNRVZT+ZXEBTQ4T7O4cRy+T0czZn/bRudLQwfGDneSetyiAP3nAKGxNdds8boHwtraCMkOQCLI10mbY1AFBc8P2cLejZsZ1yv9d23eCf4FSsjXW5tHwEsVnFmBno0Puj4yrHOLN0aLN+oXcSnJSvfBAAXFg2HHsz/Vo3iaaGiMFulpyKygLgmX6O2JsZKA0MKCSmak6v/F/3Y+zn5/CwMebI4sG1jl2VFbJhWrc6Y8WPf3WekOQCTi4ZwvBNZ5Sv3xkHf22EG6UVUr4/r9AaHO5pzbWEXApreJGrJ3kxu78TqfllDFh3Uvn63vn9W1SP8M7jgyLel1NcgYuVEcM2neZ2TikTurXn66d7KPcJTsrnSnwuHx1SeEJ/zO1HTomYzu1N6GRZfb1M2xqgTLOretgIgsBbe0LYfT1ZuZ+1sS6m+trcyizmZb9OrBjfGYlMQEdLA0EQiEgrRE9bExcro0bPqUws40x0JqO72CqzU+o6z2srR7LrciKbjkUrXzMz0Ca/9MEs3l5cPpzVByJUUigXjXBj8Sh35f8hyfmY6GnjZNn4PSaWyrkcn0PfThboaGko88zzSsXK0N6BhYOYuPm8yvturBpFO0Mdrt/OZdrWi8rXA5YNx67yoSSWyjl3K4vO7U2YuiWA9MJyLAx1+GyGL306mStnoIGJeUzdEqD8XE1NEWn55Ry/maGSzbNwuCtLRnvc1fd1L7QqgyyWyikql2BhdG/TgdGfnSE6o7je7bYmelxaMeKePvt+2HgkiuM3Mzj0mp/yhiqpkOL13hFAkUJXlbVR03OtYlZfR5WCk3YG2uTVuMn2vTpA6Q3eDWEpBSoXu66WBhXS6lXnp/s6svtakopxrumJ10wBCn1/NMaVHe8EQWDy1xfo52zB8hoLmi3Fk99c5EoD8Xl7M30uLBt+T599MjKDF35SXNtB746qFTu8M1RURdVv2MfJHB8HU76rFNKdP9SFradjGdfVlvlDXdh2Nk4ZknOxMuTb2T2V14ORrhZhH4wBqDNMVJPhntacjKzONZ/Z24Fhntbkl4p5spcDIpEIqUyOpoYIkUhEVHoRB0NS8XU0U54fgL62JmWNxOSvrxyJhZGuMnwGsP25XiTklLL6gCJv38PGmFn9HPGyM2Ha1os4mOtTUCpRPtS3ze7J3MrQ0VgvW/zryGaoubhbxZI/g9kbmIyPgxn7FwxscJz1sePS7UazdE4uGYJzEx6e90urMsj3S00jV5Pvnu1Fcl4pj/nYYXmPxr4lCU0uUC467V8wEB8HM4orpBwKTUNPW5PRXWzwXOWv3P9eY+GCINBpeXVYI/yDMRwKTUMAHutmh76OJrFZxYyo9J53z+tfb4ZEayK/VMz+oFQczQ14/qertbZXeVj3StVUtj6+PhWj9K783CyVC54Pgu3P9eJyfC7bzsYBELVmLFKZoHLdf/dsL0Z1sSEyvZBvTsfyZG8HBrg0PR++pELKG38G8biPPeO9bcksqmDUp2eUxvOXF/ow2N2KZXtD+P1qEiKRwqnw23CqkU++d+I+Hl8rd70KRd8T6t3eGIIg8OGBCH68kKDyeld7E94Z3wUjXS1lVWlz858yyKDIQdzgH4WpvjYu1obI5IIyj7gtIZMLaIio19DmFFfwyo7rLBvnSa/7MJJBSfl8+G84387u1eBCRWNGqLXyT3AqgiCQlFtKdrGYt8d6oq/T/KlrV+JzKZPI8HUww+eDo7Q31ePjqd48/6PiAXHwtUH8fiWpVpe7/s4WLBntjo+DGVO3BBCaUsAAFwuGuFux9nCkyr41w2/Synza5m5hWiGVqaT+Td1yQWWRDeCjKV155y+Fx/nH3H542Bqz+WQM2ytDXjWJWjMW7/ePIpauSEwSAAAgAElEQVTKWTjcFT1tTT45EsXaqd4MdLEkPLWAQW6WytlXc3I0PJ0DIWlM79mBqwm5vDrUtUWulZr85wyyGjWtGUUVl0j5oC0Ty9DSFCECZfigPmoav4+nePN03+bLXGkqeSViulcu/IEiXt/QYp9EJkdLQ0SJWIZRjQKKOw39o0qzGGS16nSro62MVT3OB0tbGSe0nbGqVadbI21lnNB2xqoe54OlrYwT2s5YW8s4/5Pd3tSoUaOmLaI2yGrUqFHTSnhoqtM5JWKkMjk2dTQYaisIKLIi9HU0MdT5z3UyrUWpWEZJhRQLIx00WlkJ7t2QVVSBhoYIi2asSFPTPFRI5GQUlWNnpo9WG8oOatWq02ViGZ3f9UcTRRS9OWvIm4s915OVdfVSTRFX14xrdX0CHjS+Hx6ltFRCLjR7H4vmoKBUgu/qo4gExcP0/OqxTe4toubhI5cLrNofxs7LieQDnz7pw9QeHR72sJpEq1Wdzi6uoPO7/iqvbahRRlxULmHl36Gcjno4yhdNZWON8kuJTCAyveghjqb5yS0Rq5Tq1lRYaY2cjspk+b4QFYHVtYdvUnNC6LnKX6UTnJrWzfyd11UqW5fuCVHqYQL8eTWJz49HK3O32yItbpCv1Sh9vfLOCPzcLNkflEp+qaIt5/6gVH69lMicH6+y42JCSw+vUbKKKhi+6TTpheX0cTLnyOuKXhPnH2DVVmvkYmwOoOi85+dmSZlExsB1J1ulQdt7PZk5P15l15Uk/rimuIHlcoHDYel0bm9CeGWZMlSf150ExGbXKSpbUCph7Odn+ftGSvMM/j9ObomY0Z+dUXZwq0liTinbz8fXaVBlcoEj4YoGWFtm9eCzGT7I5AL7bij6jBSUSXhrbwifH79Fl3ePtFmj3OIGOSA2B00NEVffGYm1sR4vDOyEWCbns2PRFJRK+PLELeW+6w5HqnT+j0ov4v1/wvk5IOGhCWN+fOgmcZXtGr97rhcetsa4WhtxqpV79PfL/qAUzA11GOhiwZZZPdDR1CAlv4zle5vebexBIpHJ2X4+nvf2hxGZXt2hTS4X+PhQdUvFL0/EkFci5suTtygok/D8ACcMdbUIfm80etoaXIqr3Rsjt0TM099dZt6vgWw5rapheDIqg8j0olpyU2qaxombGURnFLNsX4jK63FZxYz49DSrD0SwpUY/5CqCkhSNn957rAvjvdsz2VehovPD+Xhis4r54ni13RDL5Fyo8aAtl8jYcjqGtYdvtkoHoiYtbpAvxubg52apjBm72ypaav588TY+Hx4ls6iCz2b48M0zPSkRy+jz0XECYrMpE8tY8FsgPwUk8N4/4by1N6ShwzwQisolKmqzgiBwOS4HLzsTgt8bjam+ouxzSnd7AmJz2B/03/SaDoWmcTQig2f6dURLUwNjPW2urhyJg7k+VxNyVR6OcrlAUQtISL27P5zVByL4+eJtXvzpGiUVUi7G5jB042lySsRsesKHzU91p7hCSvfVx/i88ob1dVQoYZvqazPAxZLL8bU95M+PV3dV2+AfxRt/VrfwPBCs8OzSCspaRCrrv8bpaEXXw6JyKamVPcwDYrIZvumMstnVN2dia0kwVT04q2LGIpEIOzN9YrNKGLHpDD9ciKefszk3PxwLwHM/XGH3tSSS80r55WICG/yj+PZMHFO+DlCK6bZGWtQgV0hlxGWX4GVX3d/XzlQPT9vqPsfDPKyY0r0DQz2scLU2Iq9UwtPfXabzu/7EZBYz1MOKJ3t1YM/1ZGIymy9uWy6R4f3+UVxWHOJ/vwXitOwgnZYfIrWgnBcGdlIaY4BXBjvjZWfCF8dv/ScVJj46eBMPG2P+N8xV+ZqpvjZvj/WksFyK84pDOC07yMxtF3FecQjv9482q7FKzitl15VERnexYWK39qTkl+H13hGe+u4SibmlOJobMKarLY/52DGhho5iJ0tDXGt09urZsR1xWSW1HiChKQX07WRO8HujsTbWZV9gCkm5pSTnlXIiMpP+zhbIBYWI7u5rSahpnOiMIpbuDuZgSBr9nM3R1dLgq1MxCILAV5VK6v/8byCfz/ClVCxTzkKriEovokM7fZX77jGf6t/WUEeTjU/4oK+jyRuVbUOX7glh0PpTfHwoEmNdLTZM70ZaQRk7L99rsXHz02IGWS4XiMsqQSYXVPTrRCIR/y4cROzH49kzrz9fz1L0stXT1uT4G0OUX24VayZ35c0xiv6lVTGluyWrqKKWHFBGYTl/Xk0ip7iCG4l5nKrR4vDAHfGux33tVP7X0tTgyV4OxGWXKFWU/ytkFpWTkl/GE706oKOlermM69peJfWo5vT/aHgGYSkF5JWI+f1KIrklYpX3VkhlZBbem6dyurK39NvjPFl9R/PxV4Y4c/atYcp+Chun+7Dzpb5ErxnH4UV+Kp3Dqq7D6IxiojOK+OyYYkEoJqMYD1tjTPW12Tt/AAY6miz4LVB5va2e7EV7Uz2Ck/JZuieEd+oR1i0VS8kvFZNWUMaV+Fymbw3gdk5Jnfs2RFhKAV+fikEsffBx0asJufx2ubY+YmMIgsDyfSF8eyaWzMJyKqSyej3P8NQCRn92VtlXet4QF0Z0tuZU5P/bO++wKM6uD99DRxAQQYqoFDsWrLFhL7FEjWmaL8UkpvfyJsZEY4pR80aNGhNTNNHEWBI1GnsBCxYUQToKIl167+zufH/M7si6gKCI+Gbu6+Jiy+zMmWdmzpznPM+cXyYbzyRy+koO86d0p5ebnVwCNvpaIf4xmfyl/c3ljCID3cuXhntx+YuJHP/PSHa/Pgy3VlKp2zfGdDIo2fn8cE8e7d+OQZ6t6xQ0vds0yeTZ6sW/Abo46zesTuGjpupmb4zpxJReLjz9yzkm93SVG929dQvCUwxVqcur1Lz3ZyhzfD3xaWcnf6bWiFiZm8h1iT0drTjy9giMjAREUeStLRc5E2/YfX1jdEc8Ha0Z1bUNpZUqWpia1KhIojtZYjOLcLa9tbnVmUXlWJub0KIR5zSXVaopqqjSEyhtCLHaOtTVVUt0GBsJXJg/jpIKFdYWJpy8nE1SbilLD8QYSO38eSGFrS8MwsRYKuT+yNozhKUUsO8NX7q72lBSoUIQkPf9YnI+P564wvJHfQympoWl5NOqhSmeDlYIgsBbYztxICKd1bP66KnKAFiaGTO0Y80lKnU9M51AAkiq6EUVKvl4trNvwcKp3rz/VxhhKQV0drKmY5uWHHhrOKfjsnl5UzCbApOY0betQcH+h74/Q/Q1fQWSt7deZPvLQxo0RfLDHeGEpxbQ2sqs1qmGBaVV2FiaGKy3oKwKa3OTGiv6lVepeWStVAh+oIc9HdvUvy7wrotpbD4n9Q6qV6vzf2+kXuF/gJd+l+ohT/dxZY6vJz3a2pKWX86+8HQ+2R2JTzs7nh3qDoCnoxVmxkacjc+RZd4W7Y0ir7SKEV30p/EaGQmYGQk1ClP0bmfHlS8nsXB3JGEp+bJy/EAPe1YejZWu5Ruus9/OJlJWqeKF4V6AFEQm5pYa7M+dpEkiZAtT/c14OjSsILSnozUn3x/N3Ild5c+829oSkSY55NySSs4n5FJWqeagttTenA1BZBdX8PhPZ+k6/wDenxzkxxNX5KLg8VklzP71PAnZJUxcebJGZ/xgn7a8M74L0/tIAwgutpYG6sk6OjlJ+xRbRyF9kGrSfr4nirPVtldQVsXW80kMXHSU7gsOEplWIM86qYmY9ELOxufUmbLJL60k+loh3RYcYOCio2w+l6S3zrjMYtb4x9W5HZAGW0C6UGrC1tIUVztLbCxMmdzLhZdHetVYrexCYh4DFh0hMaeEd7aFEqa9mU5adZKVR2Lx/uQg3RccZNq3ASRkl/DWlhD2hadzOCqD4goVgfE5cpQdllJALzc72fm8NbYzB94abuCMb4ZbK0M1c13t3OpOfJqPK1206x6klW2ytTRlYk8X/tZGYh/uCCehmmDv5YwiA2c8rrsTwUn5LK+m/FEba/zjCErIJSwln/BUqa2+O3aFNf5xBmMVFxLz8Pn8EN8f1x8Mi8ssZvDio8zfpV+kPTajiK8OxLCiWq58d2gaReVVfPZPlJ54b01cSi/i478j6OZiQ4+2+jfqzeeuR9uiKLJwdyTJuWXM6NOW5Y/6yOrhvp2ut+8rI73kY2lqbERPN1s9zU2daIN7AxWBjI0EPp/eg12vDZPHrHq42iKKUgSuUmsISsglo7CcSpWG+X9H8OW+GJJzS1l9NBbPefsY9fUxvtwXzeWMppnW2iTlNyPTCghKyMPL0ZpKtZrRXZ0avI4b+e5YHF8duKSnoGBmYoR76xayushj/duxtYYc36pZffjOP05v7nAXp5YseagnK4/G8lj/dny2J4qfnupfb/l5URTp+/lh7u/hwuIZPWtcpqi8iqfXnyM4KR8rM2OCPh6HmYkRT64L5PQN06+8HK049PYIg8jmmyOX5QEqkHQE3xzbycCWiStPGsyN9mlnx18vDUalERm6xI+ckkpamBkT8MHoWksrfvpPJFvOJRP12YR6R3Ux6YXMXn+ej6d045/QNJ4Z6sEXe6P09OrcWlnyyQPevLvtop5kFMCYrm04EZtFlVqkq3NLsooqyNE648GerTkTn2MgMXSrHIpMx9LMmPzSKiJSC/jhRHyNKhVVag2bzyXxYJ+2BjV8t19I4V1tj+CB3q58/Ugv/gxK4eO/I5g7sSsz+ralVQszjAWB9/4MZUdIKmuf6Mv9PVz01lOp0pBTUkHMtSK5AP9rozry/fErvDu+M18duD6zQydeWl6lZvKqk1zJKsHM2IiozyZQrtJgaWrMVwdj+OG4VPBeJ4ZbXXAYoLuLDTaWJmQVVfDcME/m7QzHp50dm+bcR0mlyqBnVV6lxvcrfzQake0vD8GtlSWCIOAXk8myQ5J9B94arvfg1LjuTnz7eB+DMpx7w67RtpWl3JPVceZKDrN+OgvAisd64+VozcnYbOb4etx2Kc/0gnIGLT5KxzbWejeeMV3bcFTrR6b0cjFIUwKc/XDMLfd+/+frIUdfK2TiypPy+7Hd2nAkWmrQgR72nNMKjA70sOfrh3vz1PpAEnJKWTyjJ7MGtqewvIp3t4VyOCqDST2d+e7/+t22TY+slbq+1bUDdaTllzF2+XFKK9WyfZ9N8yYtv5y12shmxWO9+fSfKPkBjO0vD9HTF4xKK+SBbwP0Zn7UtFz1tmlpYcKnU715Z5t0ccwe4o6noxULdkXqiXpWl5uqztPrz5FVVMG+N31vuV10vLklhF0X0/BpZ8eGZwZi28KUo9EZPLchCCszYw6+PZxPdkXKF0b143ijQsfBt4YbpL5ul/IqNQt2RfDSCK8Gy/os2hslyzfpbhrONhac+XC03o2sSq1hwKIjjOjsyMqZffTW8eS6wBpVSLo6t2T/m74cjc5kw5kEeZldrw7ljS0hJOaU8nA/aaD7o0ndWLQvmu4uNlSpNZibGlGp0nA5o5j1s/uz5Vwyh6KkXPjsIe68OMKTw1EZLNgVWeN+6bQidehEclfO9DEQiFh1NJblhy/To60NcZnFlFdJN4bITyc0SPVDp/QxsYcLAz0aV8lGFEUe/eGMLODramtBXmkVZVVq7FqYYmdpSkJOKQDrZ/enpELN65tD8HK04ui7I295u/V1yPdscaFuLjYEzx/H7CHuHH13BD8/PYCR2hzT22M7M7prG0ASa2zfugWfTPXmfm9nHu4nTZuxsTDl28f7sHKmD18+WHNE21A6trE2GB0GKY87d0c4pZVqPp7cja0vDKJvezutzpqkoBs4bwwP9nHj4oLxBM8fB0jTgaqz/LCkmBIyfxwJSyYT+ekEnG0sZH0zHae0vzv74RjCF05gRl83Lnw8FpAe+f7heDz9O7Riz+u+fDFdGhR7769QSir0I1WQ1JxrS1c0lM+m9WDlTB+2vDBITv2M7NKGyT1dWPGYD26tWvDqaGkmR3cXGz6d6g1I0u6/PXcfR94ZwYy+bQn6eGyjO2OQBpK/erj3LWmsvX9/V3a+MoTebrZy+uvjKd0MehWmxkaM6OzIgYh0vRk5fjEZes74jTHXez2DPFsjCAJjuzvx23P3ycds2ppTJOaU4mBtzgf3S+k8nZhr1LVCYjOLme7TltdGS+t69tcgDkVl4OlgRdyiiSyc6o2LraVeemZqb1e9AvNzt4fpTWvUqZOP6GxYluHpwe7YWJgQkVpIeZWGn57qz+F3hjdYgkkQBD55wLvRnbFu3VteGMxHk7qx9om+nP5wDJ9Ok86z4Z0c+erh3oC0f6O7OjG2mxMP9mnLj081UWVOSbeqfn/9+vUTmzPxWcXivrA0UaPRiPklleL2C8miRqNpsu1/5x8ndvhgj1hUXqX3+bd+sWKHD/aIL/8eJH92IOKa2OGDPWKHD/aIG09fNVjXpJUnxMd+OC2/zyoqF70+3Ct+uTdKb7kfj18RO3ywR4zPKpY/e2HjedF3qZ/BOveFpcnb3HUxVf787S0hYocP9ohL90frLV9epRI95u4Rlx26VL8GaAQ0Go24IzhZzC4qF0VRFHdfTBWvZBY12fZvlwMR18Sxy46J56/m1LrMX0HJ8nFYtDdKLCirFH0+PSiO/tpfTMopkZcLjM8R94SmiRVVar3fq9QaccKK42KHD/aIs348I6YXlImiKIpTvw2Q16v7i8ssElVqjbg+IF7+7MyVbAObLiTmilvOJYpllSpRFKXjMHt9oNjhgz3i7oupYnBirjhm2TGxwwd7xIe/P1XrvlVUqcVnfjknvrftYpNee7dDWaVK/PXUVTG3uEIURekY6s6/xgIIEuvhY+/ZlEVzRKfOO3uIOwu10d2+8Gu8simYDq1bcOy9kXLEpNGIvLn1Ig7WZiyY0t0gklq8L5pfTiVwYf5YWlpITyR9tifKoKt+raCMwYv95FxyhUrN4MV+jOziyPJHfQxsXLwvmoScEtY83lfWaRNFkWlrThGWUsDaJ/pxfw9n4Ho3/JvHfJje597TL2yuqNQalh2+zLqAq3pT2ba/PNhgpkZDCIjN5s0tIbw1thMbziTS0dGa75/oe8tFr9QakUkrT3Kp2oDWmK5t+HBStwbNyFD4F+SQmyOF5VX0qjZgUj1H+/JIL7lbWR8uJuczfc0p3hzTCZ/2djy/IYiuLi3Z87phLvfRtWc4n5jLuqf7cyWzhEX7omUF4fqiGyQFGODeSs6xAYQuGF/r7BKFW0ejERm21I+0gnKMjQTiFjW/ioF/BCYxTzvPeu8bw/B2bRqV5v816uuQ//eL+DYhNhambHtxMI/+IM3t1DnjV0Z66eUE64NPOzt8Ozmwslptj1dHdqxx2VdGeTH7l1ye/VW6WQ50t9ebVlQfnh3qgamREYv2Res541+fGaA44zuEkZHAXy8PYd7OcFY+1qfZOWOAx+9rT2JuCd1dbBRn3AQoEfIdQKMRKSiros/nh+nb3o4drwy9+Y9qILekkmFL/SitVOtJw9dESl4pw5b6Y2ZixOm5o3GwvrX60i/+FsTByAxOvj+KtnaWDR6QUVBQMERJWTQDknNLsWthajBvtSFkFpZzITGPiT1dbrrsgYh0erezxcXW8IGH+lJUXkVuSWWdzl9BQaFh3BGHLAhCFnCrlTkUOfDG516xVbGzcblX7IR7x9Y7bWcHsR4STg1yyLdDc5HZvhn3ip1w79iq2Nm43Ct2wr1ja3Ox8559MERBQUHhf427pjqt1ojkllTe8wrGt0tppYryKg32VmaIItyJptCtN7ekEjMTI70nsf5taESRrKIK7K3MMTX+95539zLZxRVYmhpjdQ+dx81adRokwckfjsdj62DFnteH3VON25i4z90LwP2D2rPlXDK7XxtGd1fDUpe3yqX0Ih5YHcBD/dzYfC6JciBmyeRGW/+9RKVKw9RvA8hNL2Kkj6tBLYn/BTQakS/2RjNzYDuD+sH/C8RlFjN2+XHKgN9v80GapqTZqk6DVIJyq7a83tXskhr1yQrKqnhjcwiTV50kr6TuEpEN5Y/AJPxibq24fWNSvXbE72eTUGnERpeB2no+mUptpTIdxTXUrGhq/glN4+eT8Y26zkqVhulrTvHA6gCDgvgAf15Ilivg+cVk3lRq6sMdYbyz9WKdy6jUGkorVbz2RzCL9urXFMkpruC1P4LZdv7OqYqs8Y/jh+NX5LoYlzKKWH/qKi/+dkFe5mJyPm9tCSGr6M6IJyTnlvLML+cMrindw03hKQUGkkw34n8pk+Ff+cvlXmtjw+kE+fWsnwINivar1Br+DEpm2FK/Zl2IvjaaNCzNLankj8BEerezI7+0isUzerIjOIXfzyZSWFbFAA97Zg5ox9eHLrHG/3pt1xOxWQaVpapToVKz6mgs7q2teKR/uzptuJReJD95dOjt4Y0aRRyJyqizIPqNRKTqF9jv7GTNwch05k7s2igPCYiiyN7wNPq0tyM5t4zs4gp5u7q6vjfj9JVsistVjPd2vm17dGQVVfD65hBAegCmJmGC6uwPv8bF5HzeGNOpzp5UeGo+F5PzAej7+WHeGN2Rt8d1Zl94OgFxWfwdkoa9lRlzJ3bl/b/COBmbTURqAU8M6oCrnf5UwWsFZXIB9nb2LWos9SmKIk+tP6dXOnVSTxf6tJcq7208k8iesGvsCbtGd1cbvF1t6nVciytUFJerblrqMbu4Qg5merezw97KjO+1AqFXs0u4mJxPD1cbXt0UTGp+GfZW5ix4oHud6yyvUpOSV0rHNje/LkRRmm//9aFL+F/KIjy1kPMftUEQBEoqVDz+01lKK9U88G0AUHuFPsmhS+VGfz+bZGCjKIqsC7hKj7a2HI7KYFQXR7q62PD9sSvM2Rgk7eOojsRnlcjbAlgXcJUJNzlvd11MJTS5gPfv72IghHA3aFKH/OW+aFmSBWBMtzZ4OFgx88ez7AhJZUdIKnGZxawLkMoYTunlwqGoDC4k5jHNpy1qjUhppcpgXu/yQ5f54YQUbUWkFrBwqjeCIJCaX8b5q7k80NsVYyOByLQCJq+6fsD8YjIb5JAPRaZzICKdL2f01Dt4afllPLkukCvaSm+7Xh1Kb22NV1EUScwpZeOZRKb3ccVIEDgclcF9HvZEaQuYH313BK62lvwVnML8vyOIzSxulBtFXGYxGYUVvDOuM1N6uZJZVMGor48RliI5rdNx2Uzo4YxaI7In7BozB7TDQ6vCAVLt2Md/CgSgnb0lPz3Vn67O19MplSoN83aGM6pLGz3tuptxOOp6JPXw2jP889owerrZotaI7AxJpX+HVrg7WCGKUvdbdz6UVqr5fLq+ZFNxhQpLU2OMjQQCtaU67/d25kBkOqv8JK221f5x6IZKPp3mzZReLnywPYxXNgUDkJxXxupZ+umLj3ZeL+q+8mgsr4zyMqjFG5yUJzvjEZ0dOX45iwe/O03w/HEYCeg9ZTlltXTePdDblZWP+eg9cKPRiAiCFCUKCLyyKRiNKBK+cIKBbFZ1TlWrBvjJrkhiM4uoXpl1+ppTdHVuSapWTNQvJuOmDnmNfxyr/eL4eHI3XGwtGezVGjtLU4MHhE5czuKp9ef0PssurmDt8XheHunFl/uiKa1U06F1C4rLVeSUVPLNkct8/4Rhmdvfz0q9eTNjI9afuspLIzxpY3P9ZhSWUsAXe68rib8zvjMP9XVjXcBVTlzO4sTlLHJLKuWi9i3NTfBqY01Kbqn8m6LyKgO/EZlWwJtbpB7QgYhrHHx7OC0tTCmrVPPXhWQm9HC+ZaWdW6XJHHJCdomeM/Z0sKJNSwscrc355IHuOFib8/rmEPniC1s4HhsLU574OZAzV3Ior1Lz2A9niE4vYv+bvnhpSyRGpklFxV1tLbC3NmPDmUSGdXKkrZ0lk1ZJNYG/OhDD368OlWs1vDjCkz2h11iyP4YXfD1rfBotr6QSG0tTAuKyKa+STqwXtN3AE7FZnJ47Rr5YPtgeJjtjkMoifvd/fZnYw5npa04RqlXHWH/qqrxMh9Yt6OLUEhdbC3lfxnZrw/y/4dilht0oauOEtpzj0I4OWJmb4GFuQnv7FpyKy+HPoBRiM4tlpwXw44l4ujq3ZN8bvhyOztDr9ibnlvHKpmD8tDVhVWoNvl/5kVFYwV8XUvBq40tKbhnGxgIjOjmSX1ZVY9F7jUZk3s5wWluZ8fJIL77YG80Xe6NY+0Q/Hvr+NPFa1Y1/XhtGQVkV6wKuYm1ugq2lKb+dTeThfm7yzS4pp5T7V56gQ2srtr04iEORGXRqY83aJ/uRX1qJz2eH5f376uFeZBSU81BfN4yNBHq42spKHAcj0knKKZXrQUelFeIXk8m47k7MHNCO5zYEcfpKDqO6tJH3QxRFPv0nChsLE858OIYWZsZ8cySWlUdj+eH4FXk/lj3SG1tLU/aEpfH3xTT+CU3Dt6MDjw6QenL+lzJ56bcLVKo13Di+/tPJeArLqiivUhOeWsCGZwfyrV8cwzs7MrSjA8cvZ2HXwpT7POz19CXfG9+Zrw9JaiC6FM1rozryrX8cGYXlWJgYs8ovlkf6u3HsUhb7wq8xrpsTbvaWciqxugM0NhKYNbAdX0yXytSWV6llZ9y3vR1DvByYPdSd/l8cYemBGHza2bEtKBkHa3O2vTgYJxsLlh++zKqjsUSlFeqNkUi9uGuM6OzIiyM8efynQJYciJELY6k1Iq9tlm6cRoJky4TuzhgbCfz4ZD8Sc0o5Ep0hO+PPpnnz1GB3fj4Zzxd7o7mUXoT/pUyW7I/hnXGd5RIGJRUq3tXWCNfV2v747wi+ecyH0cuOca2gnPm7Ivn28T4YCQJ/BiWz7FGfWoUcGosme1JPVzlsywuDyC6uoGdbW4Onwd7/K5RtQSk8PbgDn2rFKzefS+LDHfoikgPd7dn20mAAHvvhDIFXc9nz+jC6OLdk2FI/PaFRMxOpQHdnJ2sSc0qZ4Orc1roAACAASURBVO3Mqll9WHboEqurOaPNzw/C2daCvNJKvtwbTVBiHtN8XNl1UapXfKOKwOSeLuwN11cV0NVv1RVVr46tpSkFZYY5yznDPPh4yvWoZcKKEzi0NGPTnEF1tGb9eGr9OVLzSvUKa9+43zejm4sNrVqYGiiaTOrpzL7w6zm6qb1d2R0qtZWuWHovN1s+ecCbVi1MyS6ulGt8ADzv68FHk7sz/+8INgUm0sXZhuhrhRgJ6EV5NhYmnP94LAnZpUz45gQeDlb4vyftz//9fJZTcfp2fflgT1lCavmhS6zyi6tRgOBaQRlhKQXYWZry2I9nme7jyjcz+1BcoeLJdYGEJOVz5J3huLVqQf8vjjCxhzP/fUSqlatSa9gWlMK8neE8Mai97KhA0szbGSKNA1R3ACDp3vX+7JCsSCKKImOWHZedN4CDtRkbnh3I65tDaqytrWPpQz35YHs4U3q58Nrojqw4fJmnB7vTxbklrVqYkVtaia2lKZ/9E4W7gxW93Gx5ZO0ZxnRtQ0sLE/7Wntc18eOT/fCLydSTUYLrPb8t55KYuyOcz6d58+Rgd/n7uMxipn0bQEmlGnMTI068PwonbaRbUFaF71I/Orax5sen+suP9ock5fHgd6f5+pHePNzPjRnfnSI4KZ8Nzw5kRGdHQpPzmbbmFOO7OzFvUjfS8ssYckNK8PjlLJ5efw5zEyMuLhiPpZkxOcUV9PviiN5yRgIce08SYtAV03pxhCcfTuzGfw/G6KVJq9O3vR0JOaUEfTT2lksJNLtHpx/+/jQikrpFXajUGoyNBLnbrFJr8PnsMMUVKl4e6UVFlYb1p66y+7WhZBZWMGdjEO+N7ywX4f4zKJn//BUGwP/d155FD/aU6zMAbJpzH0M7OsgXR0MY4tWa9bMH0HX+AYPvjrwznI5tWsoSMTrcWlly4j+jKKpQsf1CChN6OHMpvVAuBLT/TV89AdGlB2L46UQ8J94fZZDXbAip+WWM/K8/s4e489Hk6w4/ObcU36/8AVg9qw/9OrTiQEQ6U31caW1lxpTVAUSmXZdaOj13NK52ltKFsMTPYDvhC8fz2h8hHL+c1SD7Tr4/inb2LYjNKGLcCknnsEdbG3a/OozP9kTxq3bwZv6U7jw3zAOAjWcSWLArkh+e7EdbO0se+DaAJ+7rQKsWpnIkHPP5/XrppAqVGjNjozpzty//foGoa4Uc/88oVh6JZcWRy3w8uRtzfD2B64HCgbd8uZReRGxGsSxdf2MlvMScEsavOEGPtrZse3GwgQRX9ap6Ot4d15ns4gqeHeYhBylhKfk8+N1pbCxM6NfBXi4MfyObnx/EYK+bjwdUqNQ8uOa0nCarzv3eziTnlRKZVqh3g1FrRFb7xeLlaC3n/HXUpIYCsO18Mu9vD+OZoe588oC3/n5uC2V7cApWZsasmtUHVztLXtkULKlyfzQWGwtTUvJKmfbtKcxMjAj4YDR/nEti/t8RBHwwShY4rm3/bkwpfb4ninUBV3FrZcnKmX146PvTvDmmE1N9XHlry0XUGlFWwiksr2Lc8uNkFEpT6kIWjCMhp4T7v5F62TP6tGX5Y4blbOtLs3LIwUl5zPjutEE0UV8Ky6tQqUXsrcwMHENLcxOOvz9KryuRWShJ1/dys8PYSCC9oJwpqwOwNDPC/92Rch3gMcuOcSWrhF9mD5A1zEAaIBni1Zrvj12Roz2AWQPbs3hGT+ZsOM+R6EzWPtGXzk5SRNKq2vZFUeRyRjGr/GJ5e2xng9qxVWoNnT7aj5ONOYHzxup9l5JXyuivjzPVx5WvtRHZrfD+X6HsCE7l2H9GGpzII//rT0JOKZGfTjAYJLuaXcJqv1heHuFFxzbWehdcYXkVOcWVxGcV89yGIIZ3dmTjswPl7ihIUeHyw5eZM8yDi8n5BFVTG//hyX58uCOc3JJKEqpNvXtk7WlCkws4+u4I2tm3QKMRuZCUh72VmZzOAWlQeOgSP8qq1PJnJ98fhVsrS3JLKrEyN7mlgRmdE54/pTuf74kyKAh149iDjv8+3KvGQeS0/DJsLE1rnO99OaOI8dobkI5z88bo5Ux1ZBSW42BtjrFWGf1icj7dXGxYdugSockFrJjpoyevVB/W+MfhH5PJqll9yC2pxN3BSraz+vZu5JVNF/R6RDP6tq2x3jZIkbKHg5XBem4MVnRMu2EKoq6G+HQfVzmSv7p4UoMHukVRetahpYUpZiZGcm9ax6dTvXl6iLv8vqxSTUJOCW1bSaK9cN2pb3tx8G0pmDQrh6zrxjWWDto/oWmcisvGrZUl/d3t6zVjoLxKjUYU9aS/c4orEAQBeyszjkRloNJoGN3VSc4Ni6KIIAgk55by29lEnvf1xLGlOYXlVQTG5zK2W5tbng0RkpSHraVpjXJB83aGszM4lZAF427JwVSqNNz35RGG16DbBlI+P6ekUk+HryGIosiBiHT6ubeiTUsLCsqq+O5YHI/0a0fHNtZyu+ls8YvJRBBggrcz+aWVqDSiXjW6CpUaUyOjenUHA+NzCE7KJym3lEGe9nXOvqkvMemFciQEsObxvgaDlDfq3TW0vnV1/GIy8HSwlgVCa3KAzQ1J0UJKPYQk5zHA3f6WimbdKLIK18eLdFSo1PT/4ghFWvHbUV0c+eWZgbe3A0hjDt8di6OtnSU2lqY8OahDvc65KrUGU+PbmyHcbByyKIqMWX4cHze72wr5/03ohCSrd9cbgi7H9+szAxhZbSBKoXYW749mw+kEFk3vyUNa3cXq5JVUMndHGI/f14Ft55OZP6X7LSsQ/9tZ4x+HsZFAal4Zwzo51Dg1LTm3lOc3BlFcoeLIOyOaxZS026HZOGSQ8sBF5Sq9br1C3Tyy9jRZRRX4V5N9qg+iKDJ+xQmMjQT2veGr1DNuADXlIRXuHhqNiEYU5RTjvUyzUp02MTZSnHEDmTmgPQna+cs3e8pJh0YjytPZnhrsrjjjBqI44+aFkZHwP+GMG8K/a2/vIXQ5zE92R/LpP5H1+s3ne6N4f7s0w2Saj+sds01BQeHOoDjkZoqFqbE8y+L3s0l6z/DXxJ9ByfxySlrmq4d7/WuLNSko3MsoDrkZ83A/N0IXjMfa3IRPdkfWWqRmU2CiPPf67IdjePQm9TwUFBSaJ4qm3j1AekE5L2+6QEhSPs42FjjbWnAxOZ/uLjbkl1aSVlBOn/Z2/Pfh3gZznhUUFO4+zWpQT+H2cLa14M8XBzOllwvpheVyRbOoa4WkFZQzwduJLS8MUpyxgsI9jpJovEcwMTbi28f78tiALMJSCnhhuCfrAq7SzcWGEZ1vKkSgoKBwD6CoThtyr9gJ946tip2Ny71iJ9w7tiqq082Re8VOuHdsVexsXO4VO+HesbW52KnkkBUUFBSaCXdNdVqhYYhAaYWKKo2IneX1QiwFZVUYCWBtYYryXJ6CQvOk2atOK9SfiNQCWQII4NfXh9Gjra1elbIK9KWjFBQUmg/NWnVaoWHonsDT8d0xqTj6jQoHG8/c6nirgoJCc+CuOeT94dfoNv8A+aWGcu0gFYv+/WwiBaV1S7X/Gzgbn8Okns7EfzmJWQPbceJyNpUqDccvZfJIPzfiv5zExB7OnI3PoakGaZsrxRUqfj11lbySms+r4goVPp8dYk9Y7RJGOmLSC9l+IeVf36ZNQURqAduCkm/a1mWVaoYsPsresGu1LrMzJIXgpLxav2/O3DWH/M2RWMqq1HrCpzris4oZttSPj/+OoPdnhyitVN0FC2smt6SSLeeSmuwizSyS1E/6tm+FkZHAIM/WFFeo2BmSQmG5isFerTEyEhjs1ZrU/DJS8sqaxC5RFNl2PpmsooqbL9xEVKjU9PjkIAv/iWLwkqNcySo2WGb3xTTyS6tYvC+mznUVllcxeVUA7/4ZypHozDtlsgKSVNSM70/z/l9h7I9Ir3PZkKQ80grKefWP4Bq/f3VTMG9vDWXGd6c5GFn3upojd8Uhi6JIuUqS4TkUaagVtjfsGjnVIhy/mNoviKi0QrwXHOCVTRdqXUYUReZuD+OTXRG37Uhf+v0Cc3eE68nZ3ElCkyVlZB9tblinjrLqqJS2uE/7vm97Sf0jRPsU353mZGw2728P48l1gbe1HlEU+XxPFO9svVjnsXljcwjdFxwgpI7Ip7oQa3mVhh3Bhjd7nTadpVndpTYPR2ag1qqtPr8xSH46UqFxUak19Fx4kEqVVGJ2fcDVOpevfn6nF5TrfZecW6onPLz2eM2ipbrtTl51kv5fHCY5t7TW5Y5EZTBtzSlya+lxNTZ3xSHHZhaTmFNKayszghJz5Z09dimTCStOsPlcEl2dWxK3aCJurSx5fXMIYSmGF0SlSsOkVScpqVSzLzydtPyao8OMwgq2nE9mw5lEPeXohpJXUikrSr/6RzBF5Xc+nXIxOQ9jIwFvV1sAnGwscG/dgtT8MtxaWcqaal2cW2JuYkRYEziOSpVGloGPSS8iKaf2E/pmHIxMZ13AVXaEpNYY0YLUK9kdmkZppZoHvztNWaXaYJmI1AJe+T0YJxtzLn1xP/07tOKPwCTGLDvGP1o17LJKNafipLn/cZnFXM4oqtWurUHJuNpa8NtzknTQU+sCSc4tJTm3lAtancCySjVbzydRXmVoj4I+Jy5nEao9N7OKKjgdl40oiryzLZTSSjXjuzvx4nBPghLzyCwqr3U9m85eHyc5HCUFRUXlVYxfcZznN0oTDg6+NZxXR3kRkpTPN0cuo9EY3ujf3hZKZFoh2cWV7AhOrXV7czYGEZqcT/8vDjfJcb4rDvlwlBSlLHmoFxrxegT8/bErXMooIq2gnMFerTExNuLpwe6IIkz99hRxmfoXbHiqFD1216o2P7DaUIgSICjxurDhzcpY1kWA9mL2cJCUgWtTAm5MQpML6OrcUi+i08ky+VSbUWFqbIS3qw2hNdy4GptD2guhk7Z2xvHYhilOV2fD6esXWHUByupM+EYSBdXt741RcnJuKVNWB1BWpWZGXzfMTYzx7eRIXmkVV7JKWHpASk+cvpJNhUrDZ9MkNeSaLsTTcdm4z93Luau5zBzYHt9Ojjw9uAOF5SoW7Ipg7PLjPPT9adzn7qXbggN8sD2crvMPMOvHsyRkl9S5r+VVavxiMuRo8GZIOnb169FdzS5h8qqTcrSn1oi8uSWkQed7Q3qPEakFxNdyA62+vmWHLtFz4UGeWn+OaWtO4T53LwMWHeHxnwNZtDea3dqb5bJHe/NgX0kfceCio7yz7aLB+uKzikkrKOfZoR64t26B/yXpvDsancnljGJi0oswMRLo7GTNk4PcASk1qjv+1e3S3aTtrcxYceQyUWmGatwlFSpZX1MjQmkNgUBj0+QOWa0RWRdwld5utozt1gYHa3OOX86irFKtl4h/erC79H+IOzMHSOUklx3Sl08PSpAu4A3PDsTS1Jickkoe++EM//fzWYorrued/w5Jw9nGgtlD3AlLKagxwqrPyRgQm42NhQmH3h5OS3MTghLu7MCBRiMSmpxvMJXtYa3m2xODOuh93svNjojUQlT1VBi5Vc5fzaWFmTH73/TFwdqc4MSbt0NN7VteJR3zZ4a609bOUr5Rg3SePPfreR7/6aycp9743ECMBDh7g+Neor3gxnd34rVRHQGY3ud6gf60/DJySyo5Ep2JlZkxMwe0x7eTA2uPX5HTEiCJWX78dwQALS1M5Hb+dFoPRnVxxP9SFhW1ONMz8Tm8+2dorfufklfKiP/68+yvQQxb6sf4FcfJKa47//7y78HM+ulsjYox1aO+CpWaJfujiUwrxPcrf9ILyhmz7Bi7Lqbxye5IvWtBo6nZyf966ioDvzxKSl7tvR1RFFmyP4Ynfg5kyuoARi87zs4Qw7SQjoOR6az2i5PFSm/kZ2164sR/RtHSwpSuzjaysMKO4FS5N6rj+2NSCuI5Xw+GdnTg3NVcWURXxwvDPREEAWdbC358sh8AP5yI1xuHSs6VetKfT/Nm/pRuAExadZKxy4/r9cSPXcqiUqVh24uDCVs4Xk/Z/k7RpA45KaeUjh/tI7ekkuGdHREEgeGdHAiIzSI0JZ8qtcjaJ/py7qMxuGujUDMTI5Y81IthHR3wi8nUOzmDEvPwcLDCsaU5f740GJCirFNxORyqltCPSivgPk97RnVtQ6Vaw/kEw0jsiXWBvPRb7XlotUbkaEwmvp0cMTU2opurDdHXDO+q9eVCYi4f7QynsI60R3BSHkUVKr1IGKBHW1uufDnJQG3bp50dZVVqouqwq6RCxfy/I2psg/oSmVZIV+eWmBgb0be9HYHxOXqO7UZe3xzCrJ/OGnwenJhHhUqDbycHhnZsTVhKgewszifkcjQmU84Lb395MDYWpni72nI2/nquWK0RORaTyUAPe358qr9cmL9DayvOfDia35+7D40oRdVHozMY3tkRMxMjRml7GV7z9snR0Y7gFOKzS1g8oyfhCyfgqk0HASx4wBsHa3Mm9nDmypeTiFs0kT+ev4+ozyaw5/VheDpYcSExr8ZIq1KlYdhSfzIKJQecWVTB5YxiBi/2Y/XRWEDKaWYXV3AgIp1rBWV8tDOcA5HpnI3P1ZtRIIoiC3dH4jlvH4ejMsgqqmDMsuMcrDYWM2jxURKqpZF6fHKQI1EZVKjU9Pr0EB4f7tPLv1aqNCz8J4qsogqGLfUnq6gCv5gMrmQVy878ckYR41acYO3xK3JPEeDtraFyGuhGVmrHOdY83pfoz+5n5ytDOPfRGGIXTeS35wYiCPDe+M60b93i+m9m9iHy0wkAPPvreUBKDb3/Vyh/XkhBEKCtnSWjurShuELFqbhsLiTmMbmXC/7vjeQ/E7rI6xrv7czyRyWRh6PVBmZ1gV9/d3se7HNd0DYus5gv9kTL76OvFWJiJODTzk5PFftO0iTV3jQakVf/CNYbQX1VG8mM93ZiR0gqM388i7mJEfd5tK5Rf++JQR0IiMum6/wDvD+hCy8M9yQoIZcx3ZwAyUmd/XAMyw9fYltQCoejMpju05aichVpBeV0dbZhgHsrzIyNOBwlXZhZRRU4WJsRnJTPqTjpIk/LLyM+q4ShHVsjCAIRqQW892coMelSvnFiT0kht2dbW347I03Ls23RsIO162Iqb26RumSbApM4/p+RdGhtZbDc3xdTsTIzZlJPF4PvapKOH9HZERMjgX9C0+jlZviASEpeKcOW+gPw29lElj/amxl9DRWW66KwvIqQ5HxeHO4JwP09nDkUlYHXvH10c7Fh0YM95AHGk7FZuLe2kruHQQm59OvQiqziCtq0tMAvJhMTI4GBHq1JzStjW1AKaQXluNpayANyo7u24bXRHeV13udhz8aziZRXSdMiVx6NpaRSbdBbAHCxtcTK3ARLU2MW7Ioks6hCbsunh7izP+Ia5xPymLTqJL6dHOR8/MQehirIHg6SgzcSBG3bCwzxcgCkc2/d7AGM+voYO0NS6O7aXe+3/pckZzBnmAfPDPNgf/g1bCxNef+vMJYdvsyyw5exNjfRi2SrcyQ6g+l9pO78ar84ftWmIZ7fGMTsIe6k5JXhZGPOH88P4sE1pyjURqSH3h7Oar84/glN472/Qnmsfzt5G4MWH+Xq4kkIgkBMuv5NZMCiI3rvO7WxJlabLpw1sB0ju7TB3MQIDwcrRvz3GOsDrjK0o4Peb7KKKoi+VsgDvV1lObI+2mMI4NvJkYiFE2pUtrEyN6FNS3MyiyoIiM3miWoDx7teHQrAsE4O2FuZ8YzWab86qqOcSqzO5F4ufLI7ktc3h+Afk8mn07wJScqjhZkxnZ1aAnDpi/uZ/3cEAbHZhKXmU16lxsLUmJj0IjwcrOS0RVNwx7dUpZYG3nTO2NbSlJjP75dlvcd2c8JMK2T42IB2tYqhjuwiPXWo1ogs3h+Dx4f7yCutYoD79YPsbGvBVw/3Znx3J/ZHpPPxrgiOxkiRg7erDS3MTBje2ZHfAxOZs+E8AxYdYemBS/ynWldzyBI/nlgXyF8XUohKK2TK6gDZGdtYmMiR1dhuTlSqNaw7dZXsm3Q9b+SH4/EAOFhL+/rzyav0XHiQL/ZE6S0XlJBH3w6tsK6nHFMrKzMGe7XmxGX9iGXJ/hi6fLyfddouoq7rpesC1pfMonJ+PZWAWiPKeeyJPVzk9UVfK2TGd6cJS8nHLyaDJ9edw/crf/n37/4ZytIDlxi46ChPrgvkl9MJjO7aBmtzE7zbSoOW/jGZfPpPFNuCUhjZxZH1swfIzhikWSaVKg1d5x/gi73RcnfY9waHoMPGwpRZA9uTml9GZydrJmsdsrGRwObnB+HWSnLCJ2Oz2XI+maEdW2PXouZz0NTYqMYbIUgOe5CnPWfjpZ7H1vNJDFh0hEFfHuXF3y7QwsyYuRO70tbOkjm+njzavx0H3vKVf3+jM35umAfnPhrDpJ7O7I+QBqwLyqpYfvgyAPd7SzeNX08n0N6+BYHzxuLlaM32l4cgCPDKSC86O7Vk9aw+fDy5G/mlVfxwIl7bJtL5tOKIFJ2v8ZciWb93R7BqVh/5etShc8bTfVxZPKMXE7ydGdmlDR1aW/G8rwdHYzIZt/w4XT7ez0u/XaBKrcFfm0Z4eYRXje0F1CkztnCqlOev7oy3vThYDjQsTI15Z1xn+bsZ2vzzjZibGMt1wneEpNJz4SE2nEmku4uNfCzNTYz56uHefDmjJ+VV0rmVXlDOkegMumnHp5qKOx4hmxobMayjAzHpRfz+3H0M66R/4ZgYG/HLMwOYtzOc10Z3rHU9FqbGfD7NmwOR6XI0a9fClPu9DaPHT6Z6cygqgz8Ck4jLKMbB2pz7PO0BmDuxC0eiM+S5pbqpMYtn9GRncCrntF15nSQSSLmmST1dsLE0xVR7sg70sMfS1JhVR2NZpe129mhrw85XhsrL1IRaIxJ1rZBH+rnx30d6M3nVSX7Tjhz/HHCVDyd1w9hIIL+0kksZRUzsYbh/dTHYqzVfHbhEekE5zrYWaDSivI+/nErArZUlAR+M5oO/wtgalIxKralT2Vel1vDID2cISymQ0xJGAvRtL10YlmbGBM4bQ35pFYejMpi3M5yp357SW0c3FxteGuHJm1suyracjJVuGrouZq+2trS2MuNgZLr83ScPeBvYM8irNQ7W5vJN0LeTA+O6O9Wpav78cA92h6by9tjOekrcJsZGBHwwWu/R9NlDPGpdz83o38Ge749foaCsiv8evER28fWpUvMmdTNo567ONsQumsjR6Ax+O5vInGGeDPSw13NUTw92Z194Op/sjqSbsxTRrXisN1N6ueK71J/0wnJ+eWaAvHwnp5ZcXTxZbztPD3En8Gouh6My2PnKEDo5taTHJwf5+WQ8Pu1sORiZwXQfVzwdrfF0tGZqbymPG5qcz77wa2QVV7BkRq8aI8Xnhnny08mrstM+EJnO8UtZHI7OoK2dJd1cWt5SW+oCH4CpvV1ZNauPwTIP93NjtV8sLw73kgO8mlj2SG/m74qQ/YZkt+FxHtHZkRl92rIjJFWesTG2u9Mt2X+rNJmEU4VK3agy61VqDQLU6kxOxmbx5DppatYzQ931Lu7F+6I5FJXB2if68f5fobjYWvL9E31JySvjn7A0rmaV8Kf2gZVH+7vx1cO9a9zGl/ui+VEbdehY8VhvOS91Oi6b01dyeHVUR3mWxM6QFN7eGsqSGT2ZObA983aG80dgkvz73a8NpZebHd8di+OrA5f457Vh9HSzrXe7XMkqZsyy47wxphPvjOtMZFoBk1ddn30yc0A7ljzUi+0XUnj3z1AWPdiD/7tP6u5XqNSsPRbPAI9Wcnf8SFQGczbqH/OnBnfgs2k9atz+b2cTma8dGJvg7cQAd3vGdXeivX0L3tkWSlxmMV8/0ptnfz3PBG9nFjxwvXuvu0kA/PrMADkKvxGVWoNaFBv1fCooq8LS1Pi2uqfHLmUy+5fz9GhrQ0RqIT8+2Y/urjYUlFXJ0xZvhbe3XmRniDQjZHx3J3586varRPrHZMrdfQtTIwI/HNvg1JuOzMJy4jKL6dO+FcOW+mFvZUZsZnGd50l9UKk1lFSqsbVsvPxtpUqDkVC73wCYvOokkWmFWJoaE/npBL2b+K1SXwmn/1lNPY1GZMTX/iTnlrH1hUHyAxT1oaxSzbJDl+js1JJH+rshCHUfkF0XU4lKK+SPc0kUlavY9uJgBnrYM3SJH6n5Zcwe4n69C/ZzIAFx2cQumoipsRHlVWrOXMnBu60NAxcdpZ29Jf7vjuShtWeoUmnY96ZvnduuiZk/niGrqILDb49g+nenCEsp4PTc0URfK2RoRwcsTI1Ra0S85u2jdzs7OS/3+Z4o1gVcxcrMmPCFE4hOL5Sd+QvDPens1FKeeVAboiiyPTiVyLQC/jOhCy3M6t8Ji0orZNKqk5ibGBH92f2NciE0JSq1hh4LD1JepWFsNyfWPtG3zgu/vhSUVtHvi8OoNCLf/V/fGscUGopGI+I5bx8g9Q5nDWx/2+sE2B2axhubQwDYNOc+g9zyvYAuWBnR2ZENzw5slHX+6x0ySOmBlLzSGgfM7gTnruby5LpAKlQaBnu25ox2NkBnJ2sOvT2C01eyefynQD6e3I05vp4Gv39q/TlOXM7i2aEerD91lXmTuvLC8NpzcLXx25kE5u+K5M0xnVh5NJax3drw89MDDJb79dRVFv4TxcZnBzK8syMTV56UZ45Uz4fWFa02NpczinBv3bQDKY3JictZbDmfxJKHejXqyPzpK9kkZJcyc0C7RrtRXUzOJzhRmnZ4s6CjIfxw/AqllWreGtupUdfblFxIzKWbi02DAoq6UBzyXeLE5Sz5KTaQ0iW/nEpgZBdHItMKMTM24sg7I2p8dFcUpWf6Q5KkuZB7tGU2G0pcZjFjlx8HoKtzS/a8PqzGSK28Ss34FScoLK+ifwd7jkRnMHuIOxvPJKCbxbbmey0uhQAABxdJREFU8b7yKLmCgsKtUV+HrIicNjLDOzvyyzMDOB2XzeRerrRpac4vpxI4pn2q6Mcn+9VaR0EQBJY90pvRyyRnqpuW01C8HK/3CFY85lNrt9nC1JgvH+zJE+sC5acO5/h68FBfN3aHpjLYq7Xe4IqCgsKdRYmQmwCNRmT9KWnKWU2pihvZdTGVwrIqntQ+rXgrbD2fhJmJkd7E99rYFJhIXkklL43wapScp4KCgj53JGWhqE43O+4VWxU7G5d7xU64d2xVVKebI/eKnXDv2KrY2bjcK3bCvWNrc7FT6Z8qKCgoNBMUh6ygoKDQTGhKh/xjE27rdrhX7IR7x1bFzsblXrET7h1bm4WdTZZDVlBQUFCoGyVloaCgoNBMuGMOWRCERwRBiBQEQSMIQq2jl4Ig3C8IwiVBEOIEQZh7p+ypY/v2giAcFgQhVvu/VS3LqQVBuKj9292E9tXZPoIgmAuCsFX7faAgCO5NZdsNdtzMztmCIGRVa8M5d8nO9YIgZAqCEFHL94IgCKu0+xEmCELfpraxmi03s3WkIAgF1dp0QVPbqLWjnSAI/oIgRGmv+TdrWOaut2s97by7barT7WrsP6Ab0AU4BvSvZRlj4ArgCZgBoUD3O2VTLTZ8BczVvp4LLK1lueKmtKu+7QO8AqzVvp4JbG2mds4Gvm1q22qwdTjQF4io5ftJwH5AAAYBgc3Y1pHAnmbQpi5AX+3rlsDlGo7/XW/Xetp5V9v0jkXIoihGi6J46SaLDQTiRFGMF0WxEtgCTLtTNtXCNGCD9vUGYHoTb78u6tM+1e3/CxgjNH1Fl+ZwHOuFKIongLr0q6YBG0WJs4CdIAh3pZhHPWxtFoiieE0UxWDt6yIgGrixYvxdb9d62nlXuds55LZAcrX3KTR9AzmJoqgTLUsHaqtIbSEIQpAgCGcFQWgqp12f9pGXEUVRBRQA9a812jjU9zg+pO2u/iUIQrumMa3BNIdzsiEMFgQhVBCE/YIgGFb0b2K0KbM+QOANXzWrdq3DTriLbXpbxYUEQTgCGAqQwUeiKO66nXU3JnXZWf2NKIqiIAi1TTvpIIpiqiAInoCfIAjhoig2TAPp380/wGZRFCsEQXgRKaoffZdtutcJRjoviwVBmAT8DXS6W8YIgmANbAfeEkXx1hWA7zA3sfOutultOWRRFMfe5vZTgeqRkpv2s0alLjsFQcgQBMFFFMVr2i5UZk3LiaKYqv0fLwjCMaS76512yPVpH90yKYIgmAC2QA5Ny03tFEWxuk0/I+XumyNNck42BtWdiSiK+wRB+E4QBAdRFJu8doQgCKZITm6TKIo7alikWbTrzey82216t1MW54FOgiB4CIJghjQo1WQzGLTsBp7Wvn4aMIjsBUFoJQiCufa1AzAUiLpxuTtAfdqnuv0PA36idnSiCbmpnTfkC6ci5e+aI7uBp7SzAgYBBdVSWs0KQRCcdeMFgiAMRLqem/pmjNaGdUC0KIrLa1nsrrdrfey86216B0c0H0TKE1UAGcBB7eeuwL5qy01CGu28gpTqaOqR19bAUSAWOALYaz/vD/ysfT0ECEeaPRAOPNeE9hm0D/AZMFX72gL4E4gDzgGeTd2G9bRzMRCpbUN/oOtdsnMzcA2o0p6fzwEvAS9pvxeANdr9CKeWGULNxNbXqrXpWWDIXbJzGCACYcBF7d+k5tau9bTzrrap8qSegoKCQjPhbqcsFBQUFBS0KA5ZQUFBoZmgOGQFBQWFZoLikBUUFBSaCYpDVlBQUGgmKA5ZQUFBoZmgOGSFu4IgCK2rlThMFwQhtdr703dge7rynz/XsYyldvuV2geAFBSalNt6dFpB4VYRpUepfQAEQViIVN706zu82a2iKL5Wh01lgI8gCAl32A4FhRpRImSFZocgCMXa/yMFQTguCMIuQRDiBUFYIgjC/wmCcE4QhHBBELy0yzkKgrBdEITz2r+h9diGt3Y9F7UV6O5aUR4FBR1KhKzQ3OmNJHaQC8QjPc4+UKv28DrwFrASWCGKYoAgCO2Bg9rf1MVLwEpRFDdp628Y37E9UFCoJ4pDVmjunBe1RWgEQbgCHNJ+Hg6M0r4eC3SvVpffRhAEa1EUi+tY7xngI0EQ3IAdoijGNr7pCgoNQ0lZKDR3Kqq91lR7r+F6QGEEDBJF0Uf71/YmzhhRFP9AqjpXBuwTBEGpzaxw11EcssL/AoeQ0hcACILgc7MfaIUG4kVRXIVUcrXXnTNPQaF+KA5Z4X+BN4D+2sG5KKT88M14FIgQBOEi0APYeCcNVFCoD0r5TYV/BYIgzEaqwVvrtLdqyyZol21y5Q2FfzdKhKzwb6EMmFifB0MAU6QctYJCk6JEyAoKCgrNBCVCVlBQUGgmKA5ZQUFBoZmgOGQFBQWFZoLikBUUFBSaCYpDVlBQUGgm/D/ADLqZy/yxVAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(n_signals, sharex=True)\n", "\n", "for i, ax in zip(chans, axes):\n", " data = ts2.data[0, i]\n", " ax.plot(ts2.time, data)\n", " ax.set_yticks([])\n", " ax.set_xlabel(\"Time [s]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the initial data cleaning out of the way, we can begin computing spectral powers. Now we compute powers for 8 log-spaced frequencies from 6 to 180 Hz and finally remove the mirror buffer we added." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPP total time wavelet loop: 30.692717790603638\n", "CPU times: user 43.9 s, sys: 9.51 s, total: 53.4 s\n", "Wall time: 36.2 s\n" ] } ], "source": [ "%%time\n", "freqs = np.logspace(np.log10(6), np.log10(180), 8)\n", "mwf = MorletWaveletFilter(ts2, freqs=freqs, output=\"power\", cpus=2)\n", "powers = mwf.filter().remove_buffer(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the mean powers over time for each event and zscore:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.24 s, sys: 9.14 s, total: 12.4 s\n", "Wall time: 20.3 s\n" ] } ], "source": [ "%%time\n", "axis = [i for i, dim in enumerate(powers.dims) if dim == \"time\"][0]\n", "mean_powers = np.log10(powers.data.mean(axis=axis))\n", "zscored = zscore(mean_powers, axis=1, ddof=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at spectrograms for a recalled word compared to a word that was not recalled." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Channel number')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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9/VXBBe+P/eLRFBFqPm6vMLOWSZiPiIiIiIjIISf425OIiIiIiIhMBWMO6kgeuw/1G4DfkVxL8ryg/vNI3kvy3sGOwm+9FBERERERkcI+qbuc5BqS/51kfZH1n2xmKwC8FsBHSJ46cgIzu8LMVprZylR98CCYiIiIiIiIuMYc1JnZKQDeAWAhgLUkf0zy9EIqN7Mtyf87AVwPYNU+tFVERERERERGKCgoxczWkfw8gHsBfAPACSQJ4CIzu857D8lqACVm1pX8fAaAfxptPtm+FDqeyE/gsVSQ8vQKPwUn3exHipUHMVXdKT9ZCV1+Wk9pV37qT9meIInuyChBrrjHGduO8T/F7Fzq15/q9lN2mh/1Y6Hal/jL2t/k19PX7C9vRRCJM1ThT987y18PUYJX1fb8esK0ryBpccAPfwoTQzuW+clH4Tp+wE9Q6ljkR2/1LPX7JL3Nn+/ATL/+sjq/HmNx6Zf9jfnLNRCklyJKSZvtT18Spa8G+2aUfhmlm3nJnQBQUuo3tDQI9uqd7ZcPdvppsw1BkFnHkf5yVW/xt3uvPZ3H+Qtb9Yy/gXOZfxt7dpcfMer1NwA0PeTXk67yt8tsuX8cTUUpmlVBMmOnP31JJtgWMsG2Fm0LO/1ybz1EKWmD1cHxLNjuazYEbR8MjqO7/TQ0ZqOoRb84vcdfl1FiY3ReshJ/BtH+Wb/eX/ktx+b3+UCT38ay9uhY4RfXbvTLo+0g3RKkFHcFiXlh0mIwPYM+H4qm9+svb/Onbz0uSNYN9pNsVf56bnisuOuQKBWzrN2vJ9UbtDHokyj51k2PBFAVbN8di/0dN2p/lIjbP9N/Q3lLkAoerHsvpXP+7f55fOeL/eNrb4V/jVbSHiSvBwmdM+/31+Wfmvxweh4THI+D+ju3+ueZyq1+O/vm+BvDnsP9ddwV9G3Nc/ntSe3wl3XOnX5CZ8ex/jmsd4HfV5Uz/HPkrhJ/Hcw5dodbvvXJWW75eIw5qCN5HID3ATgLwM0AXm9m95GcB+BOAO6gDsBsANfnxn5IAfixmf1mv7RaREREREREABT2Sd2/Afgucp/KPf9FGWa2Nfn0zmVm6wEcv+9NFBERERERkUghg7qzAPSaWRYASJYAqDCzHjO7ekJbJyIiIiIiIqMq5Ibq3wMY/pXvVUmZiIiIiIiIHGCFDOoqzOz55JHkZ333gIiIiIiIyEGgkNsvu0muMLP7AIDkiwH0jvGecSnrBmavyU/a2fGSIBGp3k8IG8oGSUxPBWPRWUGaYIufLlfizLbtaL/q0j6/LX1BqmTvnCDJzV9UWKP/i4Eaf77pHX4yaHqWv6ytJ/vJe7NmdbjlXXf4KT6ls/1NpoeVbnnjY/766ViWX1bznDspWk/wU5VSnX6MWbbcX/fHvehZt/zROxe75e3L/XjNjlV+1GJNvb9u9tDfXkvL/eVacdgmt/zBx/2Ns2+GW4yhsvz14CWnAUCquc8tT1f42+X8en+7ae/zt4PWB2e65eW7g/2nye/bNx/5gFt+zYaT3PJjX/a0W76hvckt7zjST80aqvePLdjs728ZL1xzyF/WnkX+Or7w2Fvc8n/uep3flg3Bvn+cvx1ng7DgnjlROqU//aDf5RioDRLkgjTbaDuu3uyXR8mPmVpnuz/M376Hev1T51f/7mdu+QV/ONctr9/gt6VvRpAwmvbXTZQY2tscJDz2+NP3zfDrr9kSTO/vnuheEKS7HpGfOlfxkJ8Ud9o597nlT3b455jn0vPd8hkP+B1e2htcJ/T7yxqlU0bClMvgT+lDKX8GA/XB/lARJJsG7Ux15884qjvlh/qF+07VVr+8LEinjBJJs8E+XvdYq1u+8yR/58/6QZHoD1K7g8VCutXvrLJuf3pLRemx+Qu85VT/GFK3PmiNBeeM5UHa8W5/JUQJt5W7g6TmW/3mtBzv11O9OVpnfv2plZ1u+cCDfiRpSXBKrV+ff6JpX+ofR9uX+sccZP3KS/f4y9S4yF/329J+0nnL3XPc8vIglXU8ChnUnQ/gGpJbkQsTngPgbfuvCSIiIiIiIjJeYw7qzOwekkcDOCopetLMgr+9ioiIiIiIyGQq6MvHAZwIYFEy/QqSMLMfTlirREREREREpCCFfPn41QCWAHgAwN4bgw2ABnUiIiIiIiIHWCGf1K0EsNzMomdJRURERERE5AApZFD3CHLhKNsmuC3IlgMdi520rmA8WfsXPz6te74/PYPEpfRuPyEs1ROkuTkBOaV+yA5K/PBIWLDmozZG0VupbX4iUsUx7W75jpOb/Xr8kDeUr/cTlDqfCVIug6ctU495sX5A7U6/ryra/PI2J3lvKEiEK6nxG5OtChKOUn4E0UMPLXLLMddPs+zd4scDNt7p99WehX552VI/YqviHj9Z6e6OpW558xZ/XWbL/fU26FS/Z4a/YUbrrLrc3/Cf/cthbnlmob8urdnvq2ylv89WtPrLdOPGF7jlZV3+9Pc/doRbjrS/vA0bg4TKjH9giJIcy1vz+6pnIEhUK/X79ctrznTLZ8/1jwm7Ov0EuXo/ABSZIFk3SrksGQzSB/0ux2B1EN8X/FlxYKa/jaS6g3UfHKszTU49GX9ZG2blpzgCwEsq/BjAY4/xI3o7Vy90y6MU1yg5kUHi80Cdvy4rne0MAAbq/fK+IClysDqIbQsSW89c8nhe2eqe491pL59/l1v+wAx/w7m0+nS3/On7lrvlNdFxMTqfBNuxlfjTMxNMH8VTBtt3eXAu7Ony+yRb6/dJ+bb86b3EVwBg0H9R8m3ljuLWZbQPRgmj7cf51y1Vu/zzUs8c/wKr8mj/GJhe3eCWR30epZeXBtdR3rm2/hl/2qgO8w8JGMoG+/hW/w2MrqfX+8noW0/1U5AHlgQh+Ov86/Jshd/O5u/6SZSdh/vVR9vOnnn5fV693d8Xdr7Yb0vVRn+7iRI3t8+ud8uj64rGJ/32dCwp5NvlClPIoG4GgMdIrgHw/NHUzN6w31ohIiIiIiIi41LIoO4LE90IERERERERGZ9CvtLgdpKHA1hmZr8nWQUg+CBYREREREREJtOYN3KS/BCAnwP4dlI0H8AvJrJRIiIiIiIiUphCns77CICTAHQCgJmtA+CnZIiIiIiIiMikKuSZun4zG2CS2EQyhTCnaR8ZQCccpmxPkCw3L0hV6wtS/aqLS8WMUnbSHU4dQaJQpjZIfwpSngar/HrS7UHaUr9fvmezn1hUX+ZP3zE/aE+Nn9YTpVTV7PH/TjAUrOOBYP1Ub/ffYE57hsr8KMGh/uAu4cEgrazVT/pMDwTTt/j1D/iBSOib46/L0midba1yy/sb/G2kPGhP3SY/lrD1aH+91W3Ib2dfk78zZHf55Tur/bZXBalQQ9v9dZ8Ntr+aDf46K+sO0qUe99PNGjYFqW0V/rrMNPjt714YHIt6/enn3+YnjbUuz0+JLWsNUu6CJLpskEja+Wf/b3FBCKp/MEa8bw5W+essSlmNjq8Mksai5a3YElRUJDf5jP4psuMov79P+e0/+pUHZ8ylnf6+yZn+fDM1wXkgSB7dsyg4fqf8+rMV/vS9wZ9xs1XRMc3fFn75UH7SZeluv/+OuuPdbnlFub+wnTv8VODmKE01Kg4CPUv7/U4cDFL9ouTHaL6ZoJ39jf70YRpng588PFiVn0qY7vDnWbfR38e75he3j5dECaDBxwmVu/35pnr9Ttm+KkiO9g+v6NzpbyPzuvz6t53q11O5Lbi2CPbz/rr8BS7v9OfZ3+CvnJQfho3+dn8dlLcH16R+EDnajvFTKHvmBn3Y4c83SkEuDcIyt53kr8v6df58W471t5H6R/OPabtf5jem7mG/7dE+3nlK0PggeTQ6hqSD7Sy6ZhyPQj6pu53kRQAqSZ4O4BoAv9p/TRAREREREZHxKmRQ91kAuwA8DOC/ArgJwOcnslEiIiIiIiJSmELSL4cAfCf5JyIiIiIiIgeRMQd1JJ+Fc6ewmS2ekBaJiIiIiIhIwQoJSlk57OcKAH8PoGlimiMiIiIiIiLFKOT2y90jii4juRbAxWO9l+SZAL6O3JeVf9fMvjza9CUZoGZLfjpMlCTTuch/JLC0P5hBkLyX8YP6kK30k3BKnHS2PQv9Oqp2+OWVLVEKjt/G8na/nqwfGoiBIKUvSpyrf9pf1rIev7z1GD+xqPEpP21oyymF/P3grwa2B33bll+ejcLvgojRVLvflvLd0boP1sEJfh9WbvbXTUmQylreFmyXfoApSjL+9BWt/vSZar89UcpgujM/XWow2C5Z5VfCVj9dKkp+m7XWX8fbXxpsx0H1vTP87SYd7D+lA34fprqDxMlyv7zpEb/9fY1++3cf60eQeQl4UbJu6WF+HBqzQZrq8f6Bsb8lPxUPABrW+fVkqv3y/ma/nUOpoJ46f/q6Z9xi9KWCbTDYjms3+X3bdozfHi95ONrO0OkfdOYsbXHL59c4kckAOof82OEo6TNKPOxr8tdNutUvHwiOLUPVfrJcequ/vJk6v/6mR/36D/vAxryytf3+TT8vmrfVLU+V+P062LzLLV9//zK3PDpHRul9FW1+eZQmOBSkX6a6/T6MUi6jJMfexX5Dqyr89MuS3vz9vPtFfqpfxW5/A0y92t++B26f4ZZnK4N17DcR3fP8c3NpMH2mxl+XvYcHBwVGx2n/mFC5NWj/Kv+EMhRcc3Rszk+WrHnOn2eUPLpnnn8er9jul0eJtVXbgxTX4Dp4xgP+9N1Be9KdQYJ7UJ4KrouihPX0bn++XiqzPVRcymV3kAKfWuevnNI+f/rqbcUl5Va0FBJvUphCbr9cMexlCXKf3BXyvlIA3wJwOoDNAO4hudrMHhtnW0VERERERGSEQj4++ddhPw8C2ADgrQW8bxWAp81sPQCQ/CmAcwBoUCciIiIiIrKfFHL75SvGWfd8AJuGvd4M4CUjJyJ5HoDzACBdFdx/ICIiIiIiIq5CbqP85Gi/N7NL96UBZnYFgCsAoLp5oX8jqoiIiIiIiLgKTb88EcDq5PXrAawBsG6M920BMDw+ZEFSJiIiIiIiIvsJLUhWe34C8o8AzjKzruR1LYAbzezUMd6XAvAUgFchN5i7B8DbzSzIxQJI7gKwNx5rBgA/akmmMvXr9KW+nb7Ut9OT+nX6Ut9OX+rb6Wt43x5uZjOLeXMhn9TNBjA8UHYgKRuVmQ2S/CiA3yL3lQbfH21Al7zn+caTvNfMVo42vUw96tfpS307falvpyf16/Slvp2+1LfT1772bSGDuh8CWEPy+uT1GwFcVUjlZnYTgJvG2TYREREREREZQyHpl18i+WsApyRF7zOz+ye2WSIiIiIiIlKIQr/GvApAp5l9HcBmkkdMYJv2umIS5iGTT/06falvpy/17fSkfp2+1LfTl/p2+tqnvi0kKOUS5BIwjzKzI0nOA3CNmZ20LzMWERERERGRfVfIJ3VvAvAGAN0AYGZbAdROZKNERERERESkMIUM6gYs93GeAQDJ6oltkoiIiIiIiBSqkEHdf5L8NoAGkh8C8HsA35moBpE8k+STJJ8m+dmJmo9MPJILSd5K8jGSj5L8RFLeRPJmkuuS/xsPdFuleCRLSd5P8obk9REk70723Z+RTB/oNkrxSDaQ/DnJJ0g+TvJl2menB5L/mByLHyH5E5IV2m+nJpLfJ7mT5CPDytz9lDnfSPr4IZIrDlzLZSxB3/5Lckx+iOT1JBuG/e7CpG+fJPmaA9NqGYvXr8N+9ymSRnJG8npc++yYgzoz+yqAnwO4FsBRAC42s38rblEKQ7IUwLcAvBbAcgD/QHL5RMxLJsUggE+Z2XIALwXwkaQ/PwvgFjNbBuCW5LVMPZ8A8Piw118B8DUzWwqgDcAHDkirZF99HcBvzOxoAMcj18faZ6c4kvMBfBzASjN7IXLfH3sutN9OVVcCOHNEWbSfvhbAsuTfeQD+fZLaKONzJfL79mYALzSz4wA8BeBCAEiuqc4F8ILkPZcn19Jy8LkS+f0KkgsBnAHguWHF49pnRx3UJX+Jv9XMbjazT5vZBWZ2c4GNH49VAJ42s/VmNgDgpwDOmcD5yQQys21mdl/ycxdyF4fzkevTvd91eBVy330oUwjJBQDOAvDd5DUBvBK5PwB2PNYJAAAHXUlEQVQB6tcpiWQ9gFMBfA8AzGzAzNqhfXa6SAGoJJlCLtV6G7TfTklm9kcArSOKo/30HAA/tJy7kLvzau7ktFSK5fWtmf3OzAaTl3cBWJD8fA6An5pZv5k9C+Bp5K6l5SAT7LMA8DUAn0HymFtiXPvsqIM6M8sCGEpO9JNhPoBNw15vTspkiiO5CMAJAO4GMNvMtiW/2g5g9gFqlozfZcgdhIaS180A2oeddLTvTk1HANgF4AfJrbXfTZ6j1j47xZnZFgBfRe6vwdsAdABYC+2300m0n+raanp5P4BfJz+rb6cwkucA2GJmD4741bj6dcwvHwewB8DDJG9GkoAJAGb28QLeKwKSNcjdvnu+mXXmPtTJMTMjOfr3ashBheTZAHaa2VqSpx3o9sh+lQKwAsDHzOxukl/HiFsttc9OTcnzVecgN3BvB3ANnFuBZHrQfjo9kfwcco+2/OhAt0X2DckqABchd+vlflHIoO665N9k2AJg4bDXC5IymaJIliE3oPuRme3djnaQnGtm25KPk3ceuBbKOJwE4A0kXwegAkAdcs9hNZBMJX/11747NW0GsNnM7k5e/xy5QZ322anv1QCeNbNdAEDyOuT2Ze2300e0n+raahog+V4AZwN4lf31S6bVt1PXEuT+yPZg8mHHAgD3kVyFcfZrePslycMAwMyu8v7tw0KM5h4Ay5I0rjRyD3+unqB5yQRLnrP6HoDHzezSYb9aDeA9yc/vAfDLyW6bjJ+ZXWhmC8xsEXL76B/M7B0AbgXwlmQy9esUZGbbAWwieVRS9CoAj0H77HTwHICXkqxKjs17+1b77fQR7aerAbw7SdR7KYCOYbdpyhRA8kzkHnl4g5n1DPvVagDnkiwneQRywRprDkQbpThm9rCZzTKzRcn11GYAK5Lz8Lj2Wf51sD/iF+R9ZrYi+flaM3vzfluS0RqU++v/Zcglc33fzL40GfOV/Y/kyQDuAPAw/vrs1UXIPVf3nwAOA7ARwFvNzHt4VA5yye2XF5jZ2SQXIxdu1ATgfgDvNLP+A9k+KR7JFyEXgJMGsB7A+5D7A6D22SmO5BcBvA2527fuB/BB5J7T0H47xZD8CYDTAMwAsAPAJQB+AWc/TQbx30TudtseAO8zs3sPRLtlbEHfXgigHMDuZLK7zOzDyfSfQ+45u0HkHnP59cg65cDz+tXMvjfs9xuQSyduGe8+O9qg7n4zO2HkzyIiIiIiInLwGC390oKfRURERERE5CAx2id1WeTSLgmgErmP/5C8NjOrm5QWioiIiIiISCgc1ImIiIiIiMjBb9QvHxcREREREZGDmwZ1IiIiIiIiU5gGdSIiMmlIziH5U5LPkFxL8iaSR5I8jeQNB7Bdt5FcOYnz+wLJCyZrfiIiMr2lDnQDRETk0JB89871AK4ys3OTsuMBzD6gDZtikvVIMxsac2IRETkk6JM6ERGZLK8AkDGz/7e3wMweNLM7kpc1JH9O8gmSP0oGLyB5Mcl7SD5C8oph5beR/ArJNSSfInlKUv5ekteR/A3JdST/7975kTyD5J0k7yN5Dcma0RpMcgPJLybTP0zy6KT8bz5pS9q2KPn3BMkrkzb9iOSrSf45acuqYdUfn7RlHckPDavr08nyPpR8YTiSep8k+UMAjwBYOK4eEBGRaUmDOhERmSwvBLB2lN+fAOB8AMsBLAZwUlL+TTM70cxeiNxX7Jw97D0pM1uVvO+SYeUvAvA2AMcCeBvJhSRnAPg8gFeb2QoA9wL4ZAHtbkmm/3cAhdwyuRTAvwI4Ovn3dgAnJ++9aNh0xwF4JYCXAbiY5DySZwBYBmBVsgwvJnlqMv0yAJeb2QvMbGMB7RARkUOEbr8UEZGDxRoz2wwAJB8AsAjAnwC8guRnAFQBaALwKIBfJe+5Lvl/bTL9XreYWUdS12MADgfQgNyA8c/Jh31pAHcW0K7h8/gvBUz/rJk9nMz70aQtRvLhEW38pZn1AugleStyA7mTAZwB4P5kmhrkBnPPAdhoZncVMH8RETnEaFAnIiKT5VEAbxnl9/3Dfs4CSJGsAHA5gJVmtonkFwBUOO/J4m/PaXl1ASCAm83sH4pstzePQfzt3S5emwBgaNjroRFtHPlFsZa08Z/N7NvDf0FyEYDuItstIiKHCN1+KSIik+UPAMpJnre3gORxe5+FC+wdLLUkz7+NNigcy10ATiK5NJl3Nckjx1nXBgArknpWADhiHHWcQ7KCZDOA0wDcA+C3AN6/91k/kvNJzhpnG0VE5BChT+pERGRSJLcgvgnAZST/B4A+5AZH5wOYH7ynneR3kAsH2Y7cwGe8899F8r0AfkKyPCn+PICnxlHdtQDendxeefc463gIwK0AZgD4X2a2FcBWkscAuDO5RXQPgHci9ymhiIiIi2Yj7/4QERERERGRqUK3X4qIiIiIiExhGtSJiIiIiIhMYRrUiYiIiIiITGEa1ImIiIiIiExhGtSJiIiIiIhMYRrUiYiIiIiITGEa1ImIiIiIiExh/x+GHdOahN7njgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_spectrogram(ax, data):\n", " cax = ax.imshow(data, interpolation=\"none\", origin=\"lower\")\n", " ax.set_ylabel(\"Frequency index\")\n", " return cax\n", "\n", "recalled = np.random.choice(events.events.words_recalled.index)\n", "not_recalled = np.random.choice(events.events.words_not_recalled.index)\n", "\n", "figsize = (15, 15)\n", "fig1, ax1 = plt.subplots(figsize=figsize)\n", "cax1 = plot_spectrogram(ax1, zscored[:, recalled, :])\n", "\n", "fig2, ax2 = plt.subplots(figsize=figsize)\n", "cax2 = plot_spectrogram(ax2, zscored[:, not_recalled, :])\n", "\n", "# make the color scales the same\n", "clims = cax1.get_clim() + cax2.get_clim()\n", "cmin, cmax = min(clims), max(clims)\n", "cax1.set_clim(cmin, cmax)\n", "cax2.set_clim(cmin, cmax)\n", "\n", "ax1.set_title(\"Recalled\")\n", "ax2.set_title(\"Not recalled\")\n", "ax2.set_xlabel(\"Channel number\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train the classifier" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We're using L2 logistic regression which requires a 2-D features matrix to train:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def zscores_to_features(zscores, events):\n", " \"\"\"Converts a 3-D z-scored powers array into a 2D feature matrix.\"\"\"\n", " return zscores.swapaxes(0, 1).reshape((len(events), -1))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "def train_classifier(features, recalls):\n", " # words = events.events.words\n", " model = LogisticRegression(C=7.2e-4)\n", " model.fit(features, recalls)\n", " return model" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "words = events[events.type == \"WORD\"]\n", "features = zscores_to_features(zscored, words)\n", "classifier = train_classifier(features, words.recalled)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LogisticRegression(C=0.00072, class_weight=None, dual=False,\n", " fit_intercept=True, intercept_scaling=1, max_iter=100,\n", " multi_class='ovr', n_jobs=1, penalty='l2', random_state=None,\n", " solver='liblinear', tol=0.0001, verbose=0, warm_start=False)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "classifier" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluating a classifier" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Typically we perform leave-one-session-out (LOSO) cross validation (or LOLO cross validation for single record-only sessions) rather than using random sampling to choose training and test datasets. This is in part so that we can evaluate how well the classifier generalizes to multiple sessions. LOSO/LOLO validation is also more sensible than random sampling because within a list, items are not truly independent (items between lists may also not be truly independent, but it's a closer approximation to reality)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### LOSO cross validation" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "def loso_probs(classifier, features, events, recalls):\n", " \"\"\"Compute classifier outputs while leaving each session out one at a time.\n", " \n", " Returns\n", " -------\n", " probs : np.ndarray\n", " Classifier output for each event.\n", " \n", " \"\"\"\n", " classifier2 = deepcopy(classifier)\n", " probs = np.empty_like(recalls, dtype=np.float)\n", " \n", " for session in events.session.unique():\n", " # select training data (all but one session)\n", " train_mask = events.session != session\n", " train_features = features[train_mask]\n", " train_recalls = recalls[train_mask]\n", " \n", " # select testing data (the left out session)\n", " test_mask = events.session == session\n", " test_features = features[test_mask]\n", " \n", " # fit and evaluate\n", " classifier2.fit(train_features, train_recalls)\n", " probs[test_mask] = classifier2.predict_proba(test_features)[:, 1]\n", " \n", " return probs" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "def permuted_loso_xval(classifier, features, events, num_permutations=10):\n", " \"\"\"Perform permuted leave-one-session-out cross validation.\n", " \n", " Parameters\n", " ----------\n", " classifier\n", " The trained sklearn model\n", " features : np.ndarray\n", " Features matrix\n", " events : pd.DataFrame\n", " Word encoding events\n", " num_permutations : int\n", " Number of permutations to run for cross validation\n", " \n", " \"\"\"\n", " # placeholder for AUC scores\n", " aucs = np.empty(num_permutations, dtype=np.float)\n", " \n", " recalls = events.recalled\n", " permuted_recalls = recalls.copy()\n", " \n", " for perm in range(num_permutations):\n", " for session in events.session.unique():\n", " # select current session to leave out\n", " session_mask = events.session == session\n", " \n", " # shuffle recalls so we can get our null distribution\n", " permuted_recalls.loc[session_mask] = recalls[session_mask].sample(frac=1).values\n", " \n", " # compute null distribution probabilities\n", " probs = loso_probs(classifier, features, events, permuted_recalls)\n", " aucs[perm] = roc_auc_score(recalls, probs)\n", " \n", " return aucs" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "num_permutations = 1000" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "permuted_aucs = pd.Series(permuted_loso_xval(classifier, features, words, num_permutations))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "probs = loso_probs(classifier, features, words, words.recalled)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "fpr, tpr, _ = roc_curve(words.recalled, probs)\n", "auc = roc_auc_score(words.recalled, probs)\n", "pvalue = np.count_nonzero((permuted_aucs >= auc) / len(permuted_aucs))\n", "pvalue_str = \"p < 0.001\" if not pvalue else \"p = {:.3f}\".format(str(pvalue))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AUC = 0.714 , p < 0.001\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = pd.DataFrame({\"fpr\": fpr, \"tpr\": tpr}).plot(x=\"fpr\", y=\"tpr\")\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 1)\n", "print(\"AUC = {:.3f}\".format(auc), \",\", pvalue_str)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "permuted_aucs.plot.hist()" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:cmlreaders]", "language": "python", "name": "conda-env-cmlreaders-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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }