{ "cells": [ { "cell_type": "markdown", "id": "306afddf-230e-42d5-82a6-954ab48739d1", "metadata": {}, "source": [ "# 4. Advanced - grouping models" ] }, { "cell_type": "markdown", "id": "08cf26ca-dfdc-42ae-9b9d-e7fbe8883e98", "metadata": {}, "source": [ "> [!WARNING]\n", "> This tutorial and the associated functions are still under construction, only use these functions for development puprose \n", "\n", "\n", "For this tutorial we will simulate data for two participants, one with noise and one without. We make the simulation deterministic by providing the exact times at which we want the events to occur for two trials.\n", "Importantly we will use the same source names and parameters for both participants, but we will swap the first two sources between the two participants. This will allow us to test the grouping model's ability to handle different event configuration across conditions or participants." ] }, { "cell_type": "code", "execution_count": 1, "id": "e73e3a79-c328-46bd-9f1f-bb4ed1c7ec28", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulating /home/gabriel/ownCloud/projects/RUGUU/hmp/docs/source/notebooks/sample_data/simulated/dataset_a_raw_raw.fif\n", "/home/gabriel/ownCloud/projects/RUGUU/hmp/docs/source/notebooks/sample_data/simulated/dataset_a_raw_raw.fif simulated\n", "Simulating /home/gabriel/ownCloud/projects/RUGUU/hmp/docs/source/notebooks/sample_data/simulated/dataset_b_raw_raw.fif\n", "/home/gabriel/ownCloud/projects/RUGUU/hmp/docs/source/notebooks/sample_data/simulated/dataset_b_raw_raw.fif simulated\n" ] } ], "source": [ "import os.path as op\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import hmp\n", "from hmp import simulations\n", "\n", "sfreq = 100\n", "n_events = 3\n", "# Data creation/reading\n", "## Simulation parameters\n", "n_trials = 2\n", "# Times (in milliseconds) for participant A: 3 events per trial, 2 trials with the following time structure:\n", "# On trial 1 the events will occur at 100ms, 300ms, and 400ms after the simulated trial onset\n", "# On trial 2 all inter-event duration were doubled and thus occur at 200ms, 600ms, and 800ms after the simulated trial onset\n", "times = np.array([[100, 200, 100, 100],\n", " [200, 400, 200, 200]], dtype='float64')\n", "# Thus, on average, the events appear at 150, 450 and 600ms after trial onset\n", "avg_times = np.cumsum(times.mean(axis=0))[:-1]\n", "\n", "# Define source names and parameters, the same for both participants\n", "names_a = ['bankssts-rh', 'bankssts-lh', 'caudalanteriorcingulate-rh', 'bankssts-lh']\n", "# same but the two first sources are swapped\n", "names_b = ['bankssts-lh', 'bankssts-rh','caudalanteriorcingulate-rh', 'bankssts-lh']\n", "sources_a, sources_b = [], []\n", "for name_a_i, name_b_i in zip(names_a, names_b):\n", " sources_a.append([name_a_i, 10., 4e-8])\n", " sources_b.append([name_b_i, 10., 4e-8])\n", "\n", "## Now we simulated two datasets with the exact same structure except one is noise, one isn't\n", "# Participant A is noisy\n", "files_a = simulations.simulate(sources_a, n_trials, 1, 'dataset_a_raw', overwrite=True,\n", " sfreq=sfreq, times=times, noise=True, seed=1, path=op.join('sample_data', 'simulated'))\n", "# Participant B has no noise\n", "files_b = simulations.simulate(sources_b, n_trials, 1, 'dataset_b_raw', overwrite=True,\n", " sfreq=sfreq, times=times, noise=False, seed=1, path=op.join('sample_data', 'simulated'))\n" ] }, { "cell_type": "markdown", "id": "a5ffa862-b7e8-4a5a-9573-e9f7ac1e82e2", "metadata": {}, "source": [ "Next we read the data as we do for simulations (Tutorial 1)" ] }, { "cell_type": "code", "execution_count": 2, "id": "8da824ce-3039-4227-95f5-946f673c0580", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Processing participant /home/gabriel/ownCloud/projects/RUGUU/hmp/docs/source/notebooks/sample_data/simulated/dataset_a_raw_raw.fif's raw eeg\n", "Processing participant /home/gabriel/ownCloud/projects/RUGUU/hmp/docs/source/notebooks/sample_data/simulated/dataset_b_raw_raw.fif's raw eeg\n" ] }, { "data": { "text/html": [ "
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CeRD6f68rZxOl0LeHqJaPhs6ypbvYuHE/WWcLeOH5m7lrVA/cMgRmFFwe3v30O0bfejmWjGJKE7ffT8V6NTkbFJgSTBssCbGsZVJqVEFzuTixeS9bZn5Phzuup0LNSgRNSdCEoCVIdMVRs11TfLrNe8tfpCA/yIw35jLrtW9Y/PUqjIQEOkx8hof3n6VFeD8vXd8ct+v/UekwVAia4ey7oijKhegf6JuDpUU8NelB7rumHlguVmw+zs0vLeF0bimPXtGYe7rWxmuCjMZGsYSO0DVe+X4X9wxvj5GUxAvvrySnKMxjk65n/ry19L/mWaa+MZYalZJA0xGiBBkJgWk6n0lKEAIppbOwkKaBcOPze7l7bH9uGXUZz7/yHS+9+g2zvv6FxMQ4fvzxBQLppdiRs4ii/6FYleqbL17/QHuWdhbI3aBDKGzx2HPf8dqUhbRoVp3Vy5+nQ4fGTnuTgB2FiH2+TYbCUTwuAyzzfJo94BSsgt9/z9BB07CApz5Yha0bTHvjZoQ3Djx+vvzmV+rWq8KV17aj/9VNGXNPT264+nWmv72EwlLJ8AeGYLmLOFSyjbijNv1btPv7O6PasvIPCEat//2H/kOpMmzKhUEzoMUN0HDg3y2Bb4soxf492HoJtgWPP/Qlgwe9QKMm1bh5VG+6dWuO2x8HLh9449hztID9h8/Qpn09TDtCbn4BU19bSNjSiNhOkGvLv9263X8zmqHT7IaraDfuVvDEs2r6PLYs3Ux2CHJCkBOG/LCgIKJRENGIeOO47N5hjPn0KQqy8ji7+yC75y2n+HQRM16fzFPv7iIc+TsdiKY7+9riBmffFUVRLkT/S98cDRVzdP1nPD28EYlenWc+WsOl931HpWQ/W14YwCO9G+C1QIZN58miBHTBydIIW4/n069vc9buymbX/kyemHwdKRVcDB/diRffGMmtd77N9z/vAV8ieOMRHh8Yrt+r5Z7rvKUEYmnMugGaht/v5aknR7Bl41SKioJs2XKA6dN/wJY2uIPIhLNIofrmv5z/pT1L6xRYWwGTg4ez6dD3Gd7+YDEvPDOCHxdMZumK3Vw99HnmLNjgtDUpnSWLpI1tRYlGLSe2jTXJ84Ht39tcBqOf+YHKVVJ45uErEW4vuLwUhyUffvQTEx68ClNGMO0I1euUY+TYXkyYfD3zZ67kzgGTOLjvNMu+X8vecpLNxWf/zr6qtqwoKtBVLgyaFiuDX/G/lcEvDhYQDRzD5dYpKbQYPOAV3n9nEZNfHM538x/ljrsHMempGZRGbfDGs2VvNreP/5A3374LizBRO8yihVto170pEVsQsQVR+/d7rnN2zlmKbTo3Pr6UZFzxydQdeDnHN+9j3ZeLyQ8L8sKQF4H8iCAvIsgNQ07QpjAiuOqzqWR0782ez6ZwaMbTNGw2mEO7g7z4ym5KS82/3V+hOfualPH7E19FUZQLzf/QN8tIMfrBb6ibGCZUVMrVj87lyU/WMXFIC5Y+1pOaAQ92qYkMW0gzNuplaAivwbPzdvD42O6IuHieeuV7nn/5ZiKylBLT2dKrBPj063F8/e0KXp66EOlLBF8iwhtAuN1gGGBooGtOwPHHFGbNiI3wOgFFr16tePDB63j44Q8ZOvRpgqEw0hXCTsj878Gu6psvbv9Te7aOg70DBCxftZc2vSZRUhpm/YoXuO/+oQy54QVata3Hp589yOOPf4QZiThpy7YJVpTV6w/SqkHF31OW/ziKei7g1WObJth5KBuf182Y4V1iD2gM0HQ+mL6I28b2RzNsTDtCKBrmxwVbGXbnZQy6qRdvLJiELSWPDHqUtd+vIWQLvs06zMr803+7r6otK4oKdJULm2UHeW/GFAZf+wRLf9xKvx5PsH3rURb89CR33TMQITTq1qvMXeMGMejKJ7nsiklM+WAhn896hLQKfqJ2iKgdoWXnRnS5vC1RWzjpyn+8/sS+hotKKDh++m8ewgrdQ5PhI6jaow9bf1xHfkiSH4b8CBREIC8smfvKFxzZcZywmUiNK++kyiUjKDyxi4ObZkNpKQcOFvLaW3uI/L2RXUVRlP9AMhrE3vEFMu8UOWcLuHTCdyzdfII5D/Rg4sDGaGEbGbacyrNmrBCPriE8OsdLoxRFJS3b1GL5huO0adeQ+GQ3ITNITonFyRyTgoiNaZi8PGUEwUiY+x+fCf5k8CeCNw7h8Tibyw2GGwwvGJ7Ya48TNAjBK6/O5rHHhvPM5JuZ/c0TfL9gHX16P0hBQQkYUez4TKSw/9f9VS5u0j4Fci8IjVlzf6PvdW/QpkUNNix7mqaNq4GU5OcXU6liKs89+wVXX9UZAxPMCJhhZDTCS1OXM+aalr8XoDoX8CJjo7t/eEMhyMkvpWK5+PPfnyustnjJJi4b0AZLmlgyyicf/kJhSYSwpRGyBOVrVubJr58iPiWRHT9vYt2cFURs+C7rGCvzzpTB0VOUC5cKdJULg23D2d2Qc9BZWgKnGIRm/sa9t3Tg8fsuZ/jwFzh44DRjxlxOiyb1cQkPEhtTRuh8SX3mLXyCb+c9yptTx5CY4iZqh4hYIfKLivnwrcW4/f7zKct/pAnQBTS/tg/Zew5wYu1vfH/HQxTs34ltC2xbgHARLjX56dkPyQ9KCmKB7v5th9Hjk6jUuSclRS4iRRrBY3todck4ss7uZvn61zHNCPv2F/HWlH2YsbXykLazr2d3xy6EiqIoF6C/1zebYezNn0POaXKziun92A8czixk6UM96VstFVkcBfMPcxJ1gdBFbB4jzN14jOsva4zwepkxez03j+5L1A7x/Q87uGnQa+zck8XKNUfID0GpGeH2Cb1x+3Q+/3oVuAPg9oHL72zuALj94HIC3V9W7+GTz5aze98psnOLOXUym3r1MgC44srOLF76Irt2HqVvn4coyC9BGmGsuNNIVN/8l/B37zWycQpPCb74bgPDbp/O0EFtWPDZHSTGe5z5tlaEj6dN4LNPl9C6RS0ef+AqiJTEKoMHeWXqYrq3rkqVZB9EoxCJ/l5Z+W9S7H/XsVkVlq85wJGjWc57SOk8D9I1NB1saRK1LLZsOsplQzoTtQVRWxC2BZmncnlwzgu0HNSNeU9/wOZ5vxC14cszR1lfkO28gWrLiqICXeUCYZuwcw4cWAK2hZQSWbwGWXqG/MzTjBwzhbiAm19/epwOLaoy9JpJ7NxyEh3DuRjYYSJWkLBVSsQuJWqHMO0wUTvK0sV7SK+UQvQP1xotVvjQpTmbR4cK1SvQalA3GrWtzU2v3k1Al5imRiSsY5oaVS/pTvnmLck6mU9BqcX25ZuQ/kRqDbyK4iI3wWKDkiNHiYsvT40KrenR/j6yc/ezYuMUbGmzbUc+M2cdie2v5ezrzjnOviuKolyI/kvfDGDvnIPMPUFJYZgBLyzlRHYJC++5hOaJAezcIFZWKTJinQ9y0YRTOCpqY5dEOH6mmKoVk0A3yMopokKlJEwZYd+eTJ755F4qN6jJ+jX7mfLaQoqiEDKjjLu/P5/NXAouTyzA9TlLEbn9Tm0Gl5f3pi9h5pc/4/G6eO/9BQy97hmefuZmZOwXQPv2Dflp8Qsc2H+CK698nHA4Aq4wViArtr+qb76o/bd7jWJgFyD5Ycl2Rtz1MSOubc/014fj0oVTudiKghmmaf2KvPTMDVzRtxkiWEAw6zRLFm/g3olfc/JEDuOubQnBMIQiTqAbMZ3R3fPVl+XvI71RE0PaTJs0kJsnfEHmqbNgRRCAsxiKREpJbl4pDz53PSYGEUvENpjx1MeYQqffQzfT7MpLWfzch+xbvp6oBdOOH+ZQabFqy4qCCnSVC4UQkFQVEio634cPQOgMZkmQa279iFOZ+Sz86Caa1fAzoFMVvnrvZh6Y8DZm0AIElow4I7h2KRErSNQOY8oolrQpKAzRtntTbCnOj94aseD2j1uqFxolSzrXiqNejSSscBQzqhEK6YSCBtGwTqX2ncCdwPePvMHhdTvR49MIB3XCIR0zqJHgK0/TlsNwRWzKp9WnW+u7OHlmKxu2fw7A0p/PsHtPgbOPCRWdfRbi7x8TRVGUsvZf+mb79Dbkmb3YUZuR769h+/F85o7pREO/hzmrDvPGT3s4fDAHOy/kzMsVAqEJJ23TktgFEfpVS+HjrzeAGUVompOZY1m07lIfj9+LKQVX3no5Rw+epajEIiolHq9OQmKAvIJgbD5uLF3Z7QO3nw1bjrJk2WbemXoX1wzpzMuv3cpPi5+nWfOav++LlEhp06JFLb6b+xTr1u7mllGvYksb6SnCdhU5P6f65ovXH9qzRDrVle0oW7YdZsitH3B5z8Z88OJQdOzYSO7vgS6RUggXQ6iART+uZcCwd9i6dh9Xt6vKK2M6IYqDEAxBOPK3WyQKUTO2WRCJOAFxaZjqKT7eeaA3I8d9RqS4CKIhLMvGtpwHM19/voatGw9hSYhKgSkF+7cdomrjWmAYmFLQ/d6R1Lm0HUufnsqZnfsxJUw/fpiobau2rPyvNCFoVyOFdjVS0C7CdqICXeXCoLugxTBoMBApwsjSbWBZPPraYn757QhfPHsFemmQs/uOIXNySBFBxo/qwjNPzsCFUznRklGitknEjmLJCDKWltS6Yx1SyyUCzsCCWwevDj4d/AYk6haFa9fBtvXkrfuV4oP7iOTls3fFRkxTIxwyCJYalJYahEI6Ug/Q5dGHaH7LKCJRD+GwTjSsYYclu797BsMWaLH86MoVmtG2yXD2Hl7MoeOrQcKHHx8kFNWgwUBnn9XadoqiXKj+2DebIew9C8G2efn7XczZdIJPbmhDg3gf13+0ju3HCqjpjefWH3axa282sijijF7F1g2Vls2K/Wdp4/OSe6qAn+etw45GiIZtDM3grae/cbJtYm899onr8PgMNAQCjaoZ6Zw8leMU2TlfgMrNnv1neGTix7z73ngkEltaWNLCkiY2tnMtkL+P6gJ06tSIaR/dx5dfLOftt+YgpU3En4k0hOqbL2Z/aM+IE2Dnk5dTyNWj3qduzXJ8/uYwdJxUZawIREPOGrnRUCzQLWLfzoO8+t4S5j99GWM6ZpB/6Axff/0bq1fv59jhLML5JcjSMDIYglA4FvBGna+hkBPkBkMQDEJxCfXT/dwysCmTX5kHkRJ6XdqcH+b/hiZ0fD43oWAEWwps6RTRLFe9Il2GX3b+eyk0uj8yhrS61VnyxBsE8ws5HQkxL/esasvK/8rr0pk1pgOzxnTA+/9aDvM/mAp0lQuKlBIiW0Cz+WnNQV7+5FfaN67Mm5+v472Za7nvhYUMGPMJuzcd5LLWlThy8AQnD+diaF5Aw7QhaoMpJRIbTQgO7jzOjDfm4dFt3LrEb0gCBsS7JFUDJnMefxt/cTYDL61PiwYVWLFgAwW5xXgT4rAsQSSsEyw1KCl2UVLsIljqIhwyiEY0LEvDspx5vHZJMS53APFfJgHXrX4pNat0Yu3WjygoPkNWdpgvvj1WJsdXURTlX2Vvnw/BUtbtOcvEb7fxYO/6DKhfgYk/7GRYnYqMa1CLTinleLNtM+5ZupfirCAyZCJjFQDf/vUQH2w+zpCvN/NYyxo8PXUFQ7vW4JF7p+LVA9SpV5FNyzbhNWyObNvPa/dPw2/YeA2BhsH2bUeoWb3c73MdY1WV33lvAa+/cSdJyQFkLLA9t9nSwsb6myD3nMFDunH3uCt58P4P2bRpP7aIEPae+pOPqlIWpCwC8wAyGua2Bz4nv6CU2VOH43MJcrML2LrtKLt2ncAKByESdILcSAl7dhxk7ANfMG1CDzZuOMLAJxayd2cmxccKWP7zIZ79eAPXvbCMyyYtYurcnQTzgshgLOgNhqA0BKWxkd+SIBQHoaSUa9pXY+/+0+zauo+bh3bko2mL0DUXl/ZsTK1a5dFi6/BKCYtnLMLt9xAb9HXm9bpd9HzybmzLYtWL7yGEzZLc0xwJFpfdQVaUC4AKdJULizgFepCCUpvRj8+lS8uq1K6SxPwXruCVWzvxybiufDi2I3e9sJDcE9mMG9mJj6cvwoWBoRkYmsAQEg0Q6BhCZ8CgFujSYs+abSS6LeJcNn7NZPqDUzBPHePjz29nwj0DqVIulYSEAMnpCZSrVYUm1/TDtgVmVMMqFUSKdEqLXISCzpxdKZ1Ritj0M3C5SKvdHlvXsPTf0z+EgHbNRuL1JLFm8/uYBsz+ZR+zfvytbI6xoijKP8k6uhnryE5KC0Lc9MFaWlZN4vF+DUHXOJhXSu+qqdimwIoK0gwfl1RIY92xPGRs4fLCkgjLjuTywSVNuathDe5esIPnOtVm7vdbEcFiVvy4nccmXoPLjpC9/zC/fLuCF98eTqLbwCW9jL9jGkMGd8VvyNho27llXUxatajFZzMWI9DQhIYQzhhw7D9AnP8FxGbsOoHw088Np0HDqoy66VVC4SARVw4RI7csD7Xyf0xK23mgHg0yZfrPfP39Vrq1rcGTryzkspEfcNfjc5g1bzPTvlxHv5HTuPPRr5kybTl3PzKLh5+dz6eP9sUXDPP4pxv48ooWDKtcAaNQUMny8FijWnzepwnfDG6F15QMeHYxkz/fyMFD2djF4dgWofBsMdt3ZpJ5Ih9ZFIKSUl64tTMPPfMdiV6bhvWrsGn9YWrXqsRvq/ag2SZGbOpV9rEzhIqD5/fnXM2R+PLJdLt/NMfXbubgwl/QNcnMMwcxbbXig/LXJaSU//0xp6L82awocsfnUN0PZpBxD37MR1/+yrpZtzLx1cV8/VR/J+2nJIgMm8xYeRAjIcAVQ7sw6okf+OTLBwnbpUTtMFLaCCHQhIGGjsQmYkcIRqM8PH4mGXUr06Z7c1556BM+nD2OVI+B3+VFoJGVn8+ZiOTzuXs5YSdS6m9NXo4XI2QhAekV+BNMEhIjeP0mSAiWGhQXugnl65RsXEuNhIb4iiMYpo1mSae4hIDTuftYsuIZGrUZQSCjHulV0/l6iI6vzXCVVqQoyoXJiiJ/fZ/wuuUIbJ5ZvIcXluxhw/09aFAxEXSNR7/ZwiUpCbSNSyVSqmNjc9u6TUzuXZ/61ZIA+HrTcfILIlyXUYVwqcbXh0+Sr0UoiZP0HtiUl+ft5dsfHicow0QsE4HArRvs236GiQ9/yuibejL48lZghpwAV2ixdXPd4PLw/KtzOH2mgJdfGYPQzxX0EX8IfJ3fc1KbbSRO0UMbi61bDtKl/f08/tQQ7prQHxmJkLTfRms2QvXNFxsritz7AQfOHuOByfNZuHIfzepVYOrE/lRIi6N8cgCQf5M1sO9YLvuO5VCzQgINKsYjikuZ8PpyLqucQuWIzpifdtIrvQJuTWPu6ZO80a0+jarGocW7kG6d5cdzmLvjNCcLggghsG1JwG1QPdXP4ZwSKiT7eXV0e4zUBJ78eivtOzWifovGPPnSt7z14a28/fZ8dL+XToM6kxfWmfP5CpLr1iCuRjUiNoQtp8j5ueLOyya/y5E1Wxj55UvEJ8fTSzPp0+p61ZaVv6s0YtL5heUArHqwO363Ucaf6N9LjegqFwYp2ZOXBb44dh/OZ8rHK5g4vh/1G2SQkODll22nQNdji55LXJqGJcHl8VFUHMIQbjyaH58ej8+Ix6cn4LL9GLYfv5FEnJFIosfPsy9fR0b5APvW7+TOR64kYmkURW2CZpioHeLT6ctZv2Y/R3YdA13DcNl4vBZ4BNLQEDpomkTXJS6Xjcdj4fVZeH0mhldy9sCvFIWykbog4jGIeHXCHp2Qz8AoVxl/fDl2b56FVrse+ZWrsiTT/G9LDiiKolwwpCS6exuyIMixU4W8vHQvd3euRf3UeNAEwm/wwBVNeHnTEYJ6hAJRytj1mxjSsgr166aCW0eaNnN3naZvRhqWKYiGNC5Pq8qyI9n0r5LKyg1H6NSmJq+9MIdgLnitAHs2nmH8rdN4/60FfDblVgb3qA15p5F5WcjCPCgthHBseZdIkIfGDaBty1oMufZpzp4uQNdcRCM2a1bvIi+nCNBiqTcCYqO5Nia2NGnYtAqjbuvFi89+y6nT2UR1mxJ/keqbL0LSjpBZeJoxD31FeqIXTQhmTR5Is6rJlI9zO4WjwrEtVkCqbqUELm9XnYYVnCD3wN5MjmcW0TE9kcdX7ufROo24KqkmA5Kq81KTZry88QjREolVEIGiCJeWT+LN/k34dmR7vrmpPd+N6sBnN7ThmT4N+XxYWyrGefh+3VEIRxh/dXPe/HAZ1Sv4KC4Kkpcd4sZR3dm77Ugsjd/mkis7kVK53PnUZSFAx7mh1wV0vuM6pGWxYfq3uDX4TdMImZGyPOzKBS63JEJuycXZRi6usF35j2UjmTztJwaeLWD2V79QpXIq426/HGEHefOJKxg0+iOaTR5IksuAqMm8jcd56ZHLccfH07dncy7v9wiNm9QgPT2BnJwidu48gq5rIMHjcfHkpBHUalAJLWBw3dCOhCyToCkJmpKQBSIaxafD0aNZ1OnagkBaHiLOgychgqZJZ4mhqIbQJF6fhSZL2fTex1RsWo8qnTthW4JoRCe5aUdOHFpHco2+2EBRuICighMIj48IJjX73sHOb5/m9I651L92MHPzNAZo6p+hoigXJsuyydl7mgRMXly+j4BL58EudZC2RLg0tICblHgvk4e04NbZW/EIjYmXN6RF4/IgQBZH2XIiH7+uk+byEAwJrKiGGRbUj08kFIpyqrCEqU924ZtfDvHYfR8QDEWoX68Kj43rT51KAQoyzzJrzla27DxJUpyHa3s3pEat8uCLILx+Z71Qw2LYNe1p2rgat499nXDYxDB02rStz6QnP+X++4fQu08bEDZIcX5k15YWtjR54NFBfDFjBW+8PJ+Jzw8mXDGFuNhIsHIRCR/m5Q9/4d4RHRh871dMuL4NGUleJ2NMjz0MObfmrKaBFhvdNU0oDZF/uoCxU1bzzoAmnMoKYpqQoSVSUiRxewSV4vwURyzm7D3LoNrl0KMWetRGRG2ES0O4tPPF2ZCAoXFV8yq8s+YQAy+pQ2K8Qd2qyezacYixo3rxwTs/8sATVzLpuSGs+nUfGc3qc/bwKZZ9t5Y2o4dgSjAEmBoIZ5lqElMTaT9yAKve/4ZuI/uTUCWNXYXHaJneoKyOuqKUGXWHrVwQTHGcd96/jWFDXuL7+et5f+rduOMTIaQRl2Ly+N09Gf/WL0y/vwdb958lMdFPldqVQEjuGtWNsTddwt4DZ8jJKyY5KY4GD12BIWywTY6fzueO+99n0FVdGH5TLwzhRhel6CKMLmyCJoQssKSkTdcGpFZMocu1l7Jp01E2fzGd1Hr1KdekCeHSCJHSIFZ2KVqyj5rtGiOkiU8LIv0QjWqkNWuJTG1EpMBEhoIcOrQMPT6ZpJod8JevCH5Bpax+nPz5W1Ir6+zbvZ0Dg/pRO6VyWZ8CRVGU/2b7vC+4+4tVPNa+Jp9sPcHErnWI0zWEAOE2EH43eNy0a1uNeVVTwJZoKX6EAXZxBEmUt9Yd5tFWtbCiAmkLpATbcr6mxXs4sPskJafPMLhLBkMure0EGLaktLiE1179iYUr9nJNhxoMblWJnMIwE15cSKfmGYwf1QXNshCxqsoIQZP6FZnz1cNIYSA0HYSgaNxVPPPsTObNW8Obb96JpulYMvqHuboWCUlextzVk7de/pHR9/YjPkVQZJ0kQa9W1qdA+XcK7ubgsVxkJIrbpTP+6ubOKC6A7bSX8yP5mgQttu5tOIJdHGT02yt4sld9qrpcfHXkLJ3S0pwViEyJ8AqkFLzeojmv7tvLqlN5PNW+DgFLoJsS4RIIt/43wa4wNCKWjdvQnGW4gHZNKrNl21GuH9GXl96YTzQk8Ls9vPfyAia9n0HlqmnknTiLxLl38enOSO65pzK6gPaDe7Pxi4X8+ul8hk68iU3HtqhAV/lLUqnLygUhaO0B3aJ8+UQ8HhcZ1Ss46yN6AuAN0K1rA5o3rsTdb69gwrS1PHZXD4TLcEr+BwsxQgU0yvDStWk6Tap6MYK5UJQNRTlkJAq+m34rZ05kMubm17DDGh49Dp/uJ2DoBFwSXUBRiUUwbGG4XMS7JM2bV6X71Z1J1IqoGCiEY1vIWbMI++RuGjROp03vVrTt247s3zaz/7vvCMRF8SZAXu5e1q94gwMHFlOj20jSL70aV+3K6OkQlx6lbr/OWKFSwicPMvqNcRwPHS7rw68oivJ3ffrhVN7p2ZBbF+/Eo2vc0rSyMxFQ1xBeg2nLD/LB0v2E4vzolRIxaqWhpccjvC5EbIQsNxilcsD7+0CZIdEMybFgCXUqJPDskBYMvXcWg2+dzp33fcpd933CtaOmcs3oDylvSL5/sAc3t6lCkwQv3aslMfuervixueH+2YRz8pElxedTmDHDYEYQdtSZy2tbxMd5eOG5UbRpXZcnn/wUTehoQj8/b9eO/Rp56yUITTBz+kqituBscHeZHnvl3+vUyV2glVKhXCIffruJ0YOakeR3OWvbnlvn1jSdEV1bOl9NZ91bGQzz0Y+7aVslmdapcVglFruyiqkXFw9CoOsCwxDYFhi2wcP1G9IxNY0bFm8lM9/EDErskO1UIY9YYDr/GIQm+OVAFp0alAdDB0MnakkMQ0NIi6HXdmXet+tw616GDu/C0u/WkZzkpX3/9ric50GELedm3qWBO7bFx3vpMLgHm+evYvfyDbx57wucKlYVxZW/HjWiq5S5iHWaiJVNOGgx64sV3HXPQF586SsaNqxKRrmEWHVNi3G39mDGV2t5cFRnqtSsgLRMMKO/X5BkLG/HuXtxnsJKCS4DPQCP3NmDRasOMfTaZ5g56zE8fr8zKiGCgMnhk9ksmb+JNr3bkuaVJLigQqsM2rTIwAZa1O6ITUdn7TrbKf4QtaFdv7Z88uAUwpkHCSTUI6VlCzy+FNwhi4hbR/ghLiWC3xcic81STqxZTY22Tcg7eJRq8YKTxzeS5a1FekrFsj0RiqIofyDzT9Czupu7f9rNyZIwNzSoSILb5czN9eisPpzL2n1ZdG1fi8sfmY+OJCXZzxcT+yGippMKqgl0TRCRNkLT0TSJ4bYRAixh4/EYtEnzs+CergQtSVZxGAmkxXuJ8zrzeykMYYdMp683NISE2y6tTeX0OB56bTGvPXK5U0NBaKDpziac2vtosQo9QjJyeE+uvHoSp07mUL5SIuIPz/qltElMiWPANe2Y9clKht/dn7B1ipJwHgFPcpmdA+Xf5+tvPqFDq1TiEvwUl0S4fXAr5w9kLLCVxNpsbMRV4tx/hKMU5Zby5arDzB3RDlkUwY5I9ueXMqJyAK0Y3F6B7pJI2wl2AXqUq0BGwMetP29nZq8WBJw3QxM2CIFwAbpgyZ4zfDGwYex9NU6eLaRbvQyQNtdc0Z4bbnmDoTd04Yqr2pIbDJFj2dSoXYED2/bgbVA/tqQiuHCCXT0W7HYb0oNlH85lyfQFPP7ZIxwrOUCluEplcOQVpeyoEV2lzJWYu5DYfD/vN0pKwgy/qTuvvjGaO+96B2m4we0HdwDhDTDiuo5UqVPJCWbDUWdNuuJSso5lsXTpTn75eRenD2VCcamzKHsoAuEIMhyCSJDeXWpz/92Xc9+97+ESHgzhxaW58eoaDRuUo1adcuQeP02cCJHqtUjzWqR6bdK9NmlemzSPJM0jSfVKUjySJLck0S24+uERVKqRTlxChLjEKJ66NdBr1cKM1zE8Eo/IISm+mMSAyW1T76PvDT04tfcYs56aRoOqXkztaFmfBkVRlL8hj6+gV9uq3NyhBqYtGdU8A6EJZ66hR+fNH3bx7N2XMnxwW77/7FYWfn4rTepX5IcNx8BlIFw6wq1xaZ10vj2cieGS6G4bt88mWy8iNWAgLRu7MIydE8RTHKGKrlHVbeCPWk7qc9hyspJdOsKtO3fymgBdp1blJA6dKnQCBBELcDXNCXKF4Hz13NgmBDxw/xDeeWcOGhq6MNCEzvmcTyRXX9+B0ydy2fTrfgCmff52WR1+5d+ooCiH7gMyeOjxmfy2/STJiX5SU+Nj7UX8oQnI2GvpBMCWM6r7zZrDjGhXzRkdipU4LjEt/C4Nt8/G63fqZYo/TOqWNtRPSKB/lQrM2n8KaQmkzfmH8ELXsIWgJGLi9bpiaxWCy9AoLA4BEB/nJTEhwIG9Zwh4Anzy9iL2rd9FtYxkfvngW/w4yw5F7fNTfvFo4NEkm79fRb029dGAxICbvPBRQlbpn3jUFaXsqUBXKVNSSiLWcQDmz9lA63a1qV4jnTr1KtGufT3eff97cHnA43fSmN0BhMsTe1rvXGweeWMpFXq/wayfdjLv5310GjUDve3zWFHTuWCdm3MTm8fVrVN9Dh48GfsjcX7tRbcmuO+RAdSvm8aL907j+bvfY9evOxDBIsJ5eQQMiziXRZzb+RowJH4D/AakpcWz9/tlFO7fSVxChMTkCO50G2+KhT9Qwsa3XiMQyefy6y+hRpJG3Yx4dF3DI0wqJxoEfAVleRoURVH+u7w9iICLn4/lUjs1QMtqyQi35txN6xqhqEV6Wjy4XPji4tC9Xm67oSMffb8DXAb4DITfxa2X1GHR8Rxe2n6Q1XnZzDl9kgm/beexS2sjDO18Py1cOsLjQgQ8aIk+SPIjU/wU+t0UxLnQKsSjpcexL2TyxHc7eGTGb7w3+SpEYgIikAi+BPDEg8vrBL7/lZS0b1+fdet2Y9vSWYJOGOeXINKEoFX7mlSonMKyHzahCUmPKxr+6Ydd+fcL6kVs23mEfgNasmL1bq6/tj2vfvkbeNxOW9X12IK02u/BLzjxLlAcMXG5Yj+jCzSXoHuVFKYdOYzbZ+IN2Bjuc5tEd0lCIspPmaf57tgpumakoHskTu1JATbg0pi8dA9Xtq+O8LjB4+HA2VIWrjlEj0ubOe1Yd/Hc5JsYd8cU9u/M4o67Lmf6q/OIk0EG3dSLgp17iHc7z3+kdObnujXJ3Jc+Q7Mteg7uxoGtBynKysal2eSFVPqy8rc0IWhaJZGmVRLR/vik5iKhUpeVMmXJQjQhiUbhl2U7uee+QQihI4TgnglXcNftU3hrqsWdt13upKUJ59mMiJURQWg8dkd3WjWpzLqtx8kvDHHrVS0Y0qcResDnXMBcLoTX61w03D5mL9hEm7YNsLCwpImNjUDg0gxcmsRr2LwzfRSnzxRSWBQh78QZvpi+nNysQu59+jrQNNKqpMc+v4ahgVsTtLqsI7Oe/IAuj9VH08CyBJom2fv1F7S+9lJq10onPlLAz58v49Y7L6X35c05sOsUAVci0WAJtstG09SzJ0VRyp6MlkAkDzw6P+3O5OqmldF8LqQVm2hr2ViWjbQshJTnR1FTk/xELZvckEmK24Xmd+FJ9vL56A6s2HmG7SfzSUpy8c3oDiSmBhBxLkK6YGtmEVv3Z7HjeD5Hs4oRuo6ua2iaID7OC0BOfgnCltTMSOGa/s14qnN9hDcO3AHnQajudoIUp9qV83BT/D5aiwRN07hhWA9efWU2E+6/BkO4sIUbW1hIYeMxNLr3acLqxdt45LmhWLIAS0bRhVqD9D9ZdiiXmR+vpn3bmkgJ94+/ilvGvEnkhra4XX+4FT4X6LoMp+0YJkITjOxbn6ueXky5OA+dyycCYca2zmDqpuMMX7eBJkkJJLgMbCA/EuVQcQluXdC9agozBjahUooPdIEdsomW2OgazN51Guk1GDu0NTI+wKfL9jNr0S4+nnIb7qQ0p11rGpXLxfPFR+MZOeYtHpl4HVPeG4s7UcPTpxGb9hdxdOc+yjWpCzjPjDRp0+u6HtSsWxGzuJh3NMGW5VupNqIbQSsbqF0GZ0C5UHldOvPu7FzWH+P/jAp0lTJlyTxcmo9tWw9QXBSiV89WuDQPGjpSt3lzyhimvPU9A656kheeu5VGdSs4N1TSRkiJBPyJAa7u15Sr+zQ+X3kTXUf4/BCX9PtcLbePz75Zz/cLN/LBR/cQtUPY0qm2qGsudKEj0LCkiSEi1Kgc79SokNCy1QhsCaYtuG3Im0x8Zwx6IO7cw10MASnpibS+sjtxnhCbPphOqLCYWp1a0G9sfyolujFyMnnz0Q+ZOPkqqqcG6H9ZW+4e+x53jHqf3JwCPvmkJalp1cvuZCiKopxTfAKAA5lFnMwL0qNBedAFQmrOKKyEJpUTWb/xCO0uiQO3DUJjzfoDJHgNknUgGEVGLbAkQgi61S9Pt0YVKDQEG/NK2bT1BGt2n8XwumnZrCot2jSi7401iEtKpCRkUVQU5MixbA4ezUZoOg3rVaZjy6rEuW3QDExhsHzNAb76djUnT2UTDkfp0rkpj08cFlty/Y+jEyKW3WNz4/AeXHXt0xzY34matcuhC5dTpV8DiNC9R32+mP4LeZnZVKicStjKxm+oGgr/yc4UZ9FtQDu+mrKAcuUSOXA8h2sGtebjhbu4tV9DZ9jWtmMFoQxwGRRbktxghCopiSQEfHz1VH+enbGOKasOMrp9DbpWSuKelFrcVpzBgZwSCsImhi5IinNTIz0ej9dAujRKkWgeA1kUIZofpqRYENBh05FcbruxPYcignEPz+PSbo2Y9/Uj2K4A02f9ys5dx7htVG/qZMRRPkHw9fQ7uO7WqTz06HXkHD3LT0u30XXEIKZNnMaVD4+kXI3KZB86zjcfzGXCm3fgMyTeVB/1m9dk27rdDL6xKyEzq6xPhaL8qVSgq5QpKQtwaV7W/3oIt9tg6U/bmfbuYurVz+D+B67F0NyMvbsfA65owxOPfkLjRjV49IEhaLbpBLvOuO7v6clCgGGw9LfTvD1jAVHLIj7eT7u2Ddi58yhJyXF89OkEpGZhSRuBhkvo6JoLTRgIRCzQdRGVBrqI4JImlm1jSoEAqtepQG5WIWn+OMB5gqpr4Nah+aWtCEdtet4yEH/AS0qSn2QPFB88RMO6ibz78S3UrlqZfTvOMnf2emxbckmH2tw0pD34Ls7FuhVF+Q9UdBwsi193ZQLQvnqqEziKc0uvwPVda/HZ0j2061jXGUHVdN6YsZa37+iCiESRYROiNlJKhMeg1CN5dul+dmeVcmn3xnS8vAnD7qrIjv1ZLF21hylfrAfWkZoeT3y8D5/fRZWqyVSpn4qN5Nft23j7gzlEwza6bmDbNh07NWTCQ1dQrXo5BDoffbCY8fe+y+uvjUXI2BSXc8vFxAgkb78+lptGv86ceU9jeNxInIJEQhN06FAPgJ2/HaRG1WQsOwtQge5/stxQDq0vacwHz86ifaf6/LhoC889eDn9r32Bfh1rkpHoBcty7iFcBgs3HOWlT36lbq3yHDuRR/m0ACP6N+bFh/pz+lgWH8/fxks/76NXvfJ0r5GGle7jaFYxe7KLyTwaJK80Epv7K3AZgkoBDy91qsvPh3O4auEmTo/qjd/QyCkK8sjUNXzy3u2Ur5rBu5/+wpy5qxg67BL8ATfbth2gToX6ECkl3mUw8/2xXDH8DWbNeZBXX5rDlXe7uPuV2/jtl+2I0lJWzl7GjQ9f5wS5uo1bkzRpU4sVP2zEo9tIspHSdjLkFOUvQEj5X64AivIn+nD6Y3wx83s2bTxAXJyXLz+9j/q1y/PVt2vZufckr705lrAMYtoRpJS8/85isjKLeOmZm6A4GyIlYEVjC7xLSqMa45+ZjzfBz+0P9MMV76Mor5g9W49QPaMCzZrUw7nNccoiCnSwYd2v+zlw4BSdOjWmbt3KmDKCaYeJ2mGidghTRolYELIEW7efJrVKRSyXm7CpEbYFQVMQtCBiOVNvNMCjQ8CwWf7J92QdPsEb79yEbrp47L4ZuHWNh8ddRuMOD9Czcz28Lo2bRgyl7+CHyvBsKIqiOGa9NIavvltEcUmYQ5lF7HikDzJogmkj/AZ6ig+SvAx6fhnzpwxDpCaD4ebyYW8zd1J/tJJSZCgCEQspJYv3ZvHS/F2MGNaVzYfy2HvgFEIXpKQEaNysKl0vbUT1uuUI24IzZ4uwDTdP3zeD/PxSelzbFaHrLP9mJW071+f6G7tSMcmFT3fm1wJownDWSNdcvD91Idu2HOKVl28jId7P70Wp7PO1GpA2Py7azHfz1zH13XGYRLBsExsTW1o0qDmWRo0z8PndDL5uEDdc+1jZnhDlX3b49BHufvQ2SnLyWD5vPa++PYqf5m/mx68e5MD2XYx98HO+fW0wcYbTlrYeyubhN5cx5+OxeBKSQOgcPXqGj2f+wuq1+2herzxjrmhG1TgXi1fvZ+2OU+iaoEG1VBrUTqdi+URSkvzO8loAhcUMuH8Oswc15/ChQhYczObWtlV5ZucRevRuwA978hg++moefGQaw2/szpWDO+A23Ex540daN87gkpYVIFTsBM7eeF6dtoraTatRYuZRqWUzCk0XIctZw1fXpDMFS5f4DBuPbrP4m7VMvP0D+l3VhtTUOCY/OYWqleqX3QlRLijBiEXPV38BYMm93fC5/059g/9gKtBVyszChQvp168fbreBaVpcNbAdX00b6wSuCMY+OJORN/WleYd6hKwiTDuCEBovPT2XpIREHhp3BQQLnXUTbYvdh3K5+9GZ3DXhcgLlA+SHJHv3nKZxixrUrZlEskfi1eNx6z504SLrbCEfT1/E8qWb6datCQ3qZfDV1yu4rH97RtzYh6gdJGKHiMa2oCXJzo/y5aerGHRTH0otjYgliNrOFivEiBYrBuERFrK0kHXz13DXXX3IOx3irlun8vSjV9OxSXkIlVCv27PsP5pDcoKXkqDJ7j17qVmzZlmfGkVR/sLWr19P+/btSI3zkFMcpmvtdH66rTMyaDnVYn0GWqqPIq/BLVPXMPvN6yAxHuHy8t5Hyzl0IJNHhrTAIyUrd5zizbnbaVC/Ct6UFLbtO8XdD1xO+VrlOXy8gKU/bCRYGqHPNR1ZMm89m9bsJaNOFQbfP4TTZ0sQ8QmErFjCTiTMqc276NS1Pqd27KFPrwYEDIlL1zCEC5fmQRduDM3F0kVbef31b2nXtgEPPXQdfq8bpOWMPFvR2PxdjTen/sie/acYf+81ZFRNw3Bp2NKma8fxrF+/j9S0ePLzSvjtt400b968rE+N8i/of9Xl/LxkGeHSMJZlM3/JY3z5yRpefHIYFRMEv67ZzsTn5zHyihbkFQT5YeV+Pn/nRlIrVQJvPBgeJytBWshIiE2/7WLyS9/RoHoK9wxtTVrADQJO5AZZ8ttR1mw9QWZ2MUjo3bEmN11am8lTfqayoTOqQSWwYH84zIQfdzKwbxMSq2fwyTe/8fGXd+GLEwih4db8vPbcPPp1b0KbeolOoCsBfwI/rD7KgZM51GyURMibSFzlSoQsDRm7//DoNn7D2Ty6ZN/2I1zb/RmEEHh9Llq0bMqqFesRF2HhIeWfVxoxafj4TwDseqoPfvfFleyrAl2lzAwaNIh9ezex+ucXSa88jE7t6vDL7LshGgEkmXlhxjzyDd/Mm0SpXUzYKsG0LTTg+SfmEx+I48mHr0Mzw6xcvZunX/qGd94fS8RtMer6t+g7uAvTX5nLyx/eSqd2NbBKJIsW7GDF8m3k5hUR5/dx04296HVpU2dqlrSxJfQZOImFi17EJEzECp4PeEuigk+nr0JqBpde05WQJYjYAkuK85lxmpC4NMg+dpr3npjB82+PpG71dHJPBblz9BSmvzGK6kmwbvVOpn+1nk++34Ft29wxoDEf/Libe+9/iKeffrrMzomiKMrNN9/Myh9ns2FSP8rd/jV1y8Xz27juEHEKUQm/gZbm48sdmUQ9Hm68rj0iLgBuH1gmn89ex4LFO4hETZo1qEzb9o146f0lDBnRlSCC2V+sonnXJrTt254j+07g9XvIqFUJb8BLVGqELCg1BYVRKIpA0HIeIvoNSPFAihbmjTEvM33OeBI9Ep+h4dJcGMKDobnRhQtdGAg05s9byxczlzHz80cxNMA2wYw4Aa8ANIPFy7Yz7/t1nDyZTSTqZPusWr2T0tIw3333JLfd9joDBlzD1Knvlt1JUf4l2dnZpKenM+65EWQfzeTzdxexYMmjFGRHKcgu5rbhXSFcTH5WDgsWbcPt1rmqfwsMfzz4Etmw/RSPTPwYl1vHtmyuG9qd4YM7IyLFLFn8Gx/PXElhURApoUL5RHp2bUjnjvWpXDkNy7KZPXcDH332C91aVsEuKmXNluMIKUlO8tO8RXVW785CuF1cfk1rhNtg8cItjH+gH3VrVOODt5bRqlEG3VtVhHAJIMAXz9eL9pAXDFEYzEckJtPkklYETc1ZXkhI/C6bQCzQ1WWUqS/M552Xf6BF6xo0aZHBpx+s4MiRI1SrVq2sT49yAbjYA92La2+U/yiaplGzejkSvAIpJUMHtkSGSiEUAikpH+ehTvUU1q7cTqsu9YlYTvGosBQ8MGkQM6et5oohk2nTsi4bftvH518/gPRYbN17nC69m9GnXyOGDW2DDMHrk75n17ZDDBvcmVeeGkJ6anysSqgGVuT8HC5N08mokkZuTiEJKc68LQlYEsKW4OjhbIbfeyXh2CgugC6c9Rk1AS5NQiTIZy99xTOvXU/d6qmE8y3uHD2FaW/cQjlXiFF3zcQnbCb0ro8sKGXF7jO8dHljvvnloHrCqihKmRNCkOp347ckAbfB1Y0qISOxaFOI2JKjghU7TjPx9u7gdsWWgYsDw8OwUYO4elg/tu08ztTpizi8eCsd+zQnrnZVsk/kMfql29F9fkwpqNYqCUMDCyiIOuuBhiwIWxC1nCVLz721IZy+2O1xk1G7IieO55FQO8lZnQgttlycON+PSmwuH9iW0tIQ9z/wHq+9OtaZWwK/pzBbFr261KFXl9rn19uV0mbcgzP47KtV7Nqyl2BpGNU1/2c61xbKl4tHBIsBaN22NsLycMuIN7ltVB+QNknldW64vpvzP+kucPnYsjuTJ576jI9n3ktikhfTtHj/nUVcdf0LvP7yrfTq35VevVqdz0JDM8BwgeYCTcNAMHTk5bTv2ppFi35j/oK1JFVKo0r5BLbtO8PhQkluSZgrr2hN5QaV+WHuJq6+pTeW7iIzK4+q1ctx6GgW3dtVj6U0aOAOsHLNHobf0p2581dRuXIlJM5gL3A+ddmj2xAJMX70B/Ts0wS3W+fKwW2oU68in36wQq3woPxlqEBXKTNer5eivDClBQVICanxLnIzc/h51X6a106nZs1y3HdjR255/Cu+6/QUbt2HKU0ipkXQtBlycyd69mnK6eNFjH9oECYhiqMRatZM585xvSEs+PDNn9i4bi8P3N6Hl+7qhnM5CEJ+qXPRcLmdGzTNcJYUwEViop/8/GISUlNxbukkpg3ffvErtzx8LaWmk7JsS4EmJIYmMYQzmjv/48V06FqXKTPGEO/ScOPllltf59Vnh1PRZ3H1Te8zvn9DumckYReESEEQDkUxTxQRCpt4Pe6yPSmKovzleb1eQmELWWpSEjFJ8RhO5CkEuJwCO0LAqdxSKldMRLjclJhuJk2ey45dR5FC4vW5qFW7Itfe0ovJk2bhrp5BRlJ5UlOrEARkNPbXaU6JBdN2glxTOgFuxHaCWl04hf4sCS7dqX3g1uGup28gzW/j0kw0oaMLA138XlRQYmNLG4nN1UM6cvDgKZ5+5jMmPnIdaLoTnFhRsMzfU5ptEywLIW2qV/BjWRb339iO6R8vxudVffN/Iq/XWZqKaJgFX/1KIM6D2+3Go/uIi/dx/HQhGRXineDWtkBoSM1g1px1TPtoER99Pp64RIOwXYrQ4LZxvenVtzl3jn+XG67rztCrOjgZAkI47UozYpvOkaNnmPT0DCzbxutzUWra1G2YQUpaPOXDcLaolPj0eLbvPkXrAR25ckxlEJLNq7eReeAUo27sx5ib3uLGG7qju3ygaWzacYLjJ7OpUS+NoRV6cDbiIWiL3xecODd1SpfotuSZl4ZQvXp5Xp48j1CphRn5L8dFUS5yKtBVyozX6yUUihAqLQXAikQZOn4WV3epxa1fruejiZeRUbcKl3evzxOPTufJyTeCIYFSQmaUsGWTVjmejGppRAlh2hEMTeDRvCxZsJUPpixk3Ohe3NqrDgf2HmHZD8dxu3RKQlGCwSgNa6ZTp25F8PkRXp8T9BpeWjSpxvKlm7i5dj+E0JBSUpAfZOXi7XS5ssu5QQ0MITGExKVL3Jrk41e+IxqK0LRxRQKGwKt7efmZ+Vx/bRea10pi/ITpjOldn0sqJWBlFnP2dBEf/nqY3FCUIZ+uJz8YxWtcXEUAFEX5z+Pz+QhFTcygSdSSuAFp2qAJhEsDDYKWjdAEwuulyHJx7eip3HHPFdz/zJVs3HaM7+dvYtOWI7S/qR/XPnsHQXeArCi4LSdQ1WMxMzhBrimdYFZKnJWAYp/F0MAf+8ZvQMAAXVo8e8cU3vl0DC5Nd9KVNSddWRMaEoktLWxpYkkLAdz38BVMnvQVzzz/BY89ONTJ5InazlfT2WQ0CmYUTIvvF26hqDiMnXOWUDCE163W0f1P5PF4ANi2bh+VKiWTl12EJnRAcP+Dg7l17Bu89frteD0Gu/ccY9Wanaz5dTfdujflq7kPIAybiB0kajvtyJY2Neqm8sXs+xl5/es0bVKThvUqOc/QNSdLrDRsctOoF/D7Pdx59yAaNKlExC4lFI2wacMRDh44wyX1KuJJCZBXCrWa1aYg8nuGWP1Wdfh+5gomTPAwbMSl9LvyGZo1rUFxSYhDh0/z3sd3MHPmSo6cLKT3jZdh2uJ82rIRG9Hd+dsBVi/ZwSNPXoUuDLLOFPLWqz/wxpTRgAp0lb8OFegqZUZKibRthO3kkq1cf4ibBzRhaKcaXNKwPE9+sIppk6/itiGteXLqSmZ9/gtDRlzqFIXAJmzZWNIiaofRhIYmdE4dyefxBz+nReOqfDh5CI8+PYtvbYsmGUloQNSy8bkNfC6Nl37aQV7I5IEbO9CmXR3wBxA+k+uvaEW/Ia8ydNilGD4dTWi4DIFhaBixp6UGEgGU5hfx/svfMmxMTwZe04Y6dcsT5waP7uLE4QL27TnBMxMuZ+uajRTkFdO/fn2sk4V8tfowH288TrLbRW4oytutm9Hg2DIsW02ZVxSlbDl9c2xoFZwI9NwTPgFC1/hpZyb9OtYCf4C7J37Do48Pp2qDOD79YhXx1aqS2LABffr3YWdRgEILZBB8hkRzgRsnDdnQiKUdO4GvHQtwtT98PVfgTxfnAl3Juh/W0qJdbfyG7czLPTcn9w9BrmVHMGUUS0aRUqILg4cfv5rJT37NG1PmMW5MP9BCziieGUaGwshQiHmLdzLrx53sOeSsNzrothmczS7GNKNlczKU/1/OlaFp0iyDGtVS2bH12PlMrYaNMnhi0nBef3sO0ahJ7TqVuLR3c8Y/Mgg0C9MOEY5EKQlFuGHQ6zRuXpWJz1xNgl+gay5eeGkUTzz6KTNnPBQrbiZAaEx66jNGjOhFn36tMO0oUTtI1I6QVVDMgh83sXfnKRq1q0efkf3wWs5cdCB2fwEJfi+jxvUlGC3l8qub029gCw4fOIPH66JytSQ2bDnAd7M38MCUuykxfy9CpQsnUDY0ybczVzNuwmVowkATzq1+9erlYkE+2Lb99w6Xolx0VKCrlJns7GzSUuLwepwnmTl5JVROjwdNIznRT0FJxLnbkZI7R/Xg3ie/4bqRvdCFgaG5gDCWlEgsBDrbN53k+Se/ZsqLIzi2ax9jxk/jtRFtaBDnRoYtZNQ6P5FFWjYja5UjM2oy+cv1fDB7Ey/c15vkKukYAZOxN17CM5M+ZfILN2NqXlIS43jlvZv4csbPhE2btPLJtOhQjxfGvcftDw6kcYN0JwDWwKMbuDQvLz47g6ceGwrhYl6euoSnh7RAFoZZs+M0C3Zl8tklLZi84SDzzEzsoJsUl5vc/IKyOh2KoiiA0zen+txoNrh1QdB00paFoSHcOsJrsHJfFreN6MjpvBChqE3L9jUYNeoV2g/sgl6pKqFIPt9Nnknbu0az8uWp9Hl8LF7jXGol5187IUcsoI29Fjg/88f42qWBT5f4DEligod+g7vh0UHXdERshE7GUpUtO4opI0TtCKZtYknQhDO6+9ATV3HryHdo17oe7ZtVBlHi5E5Ho9z2xFyqpvh5a0xHPvpxJ8/O2szcBy6l3f1zycsvLMtTovyLcnJyAKhcKZFjEYtQ0MndtaWFlNCsVTWatxp1/vdMGcWyI0StCKtW7eHlyfOZ+uXdTJt7P6uXbicrq4j4qj5AUq16eXLzinGWr7Jjo7qwf98Jnpw03HlghI0tLX5ds58F329h5P2DKYpqBC2NoihEbYEdS9F3mrHEkoKKNSoy9KrXuHpoBy7p2YSEih7Onilk2RdbadejOeNeGUOh5SJsCQwNvLpECHk+2O3dvzk1a5U/PwiQmpbAVdd0Ii0t6fxxSUxM/NPPh3LhEQjqlIs7//piowJdpcxkZWXRuE4CgYAPt1undo10nvxwNb3bVmfJusO8cm8vcLvBMMjLDZOcknD+RkZK52mk8+RfoAuDyU98xayPx7N77Wbe+mAp397bDW9BCPN0CYdPFrAns5iikElhOEp2aYR0n5urGlfijR4N+K2wlGvGz2L8sHb079uEKztlsHv3ce4c8yYTJ11HcrkEjEAxAwc25bd1hzFtiyppbj7+dhyGJnFrAkPT0IWOIbwcPZiLtKF+jVRKTh+hqChI1UQv1rE83lh1iJfb1YOoQW7QJNFwEwlpJLs85OTllfFZURTlry4rK4s0v7NkSrLXTV7YRHh0Z1mhgAv8BrtOFlC3TgU+Xr6fQYM6URwqJi45nuqtGrL1aDGzHp1Ci1tHE464CeYWYJWW4vb58MXSjz26c1N+btTWkmDH6uNosXstW/6hyE4s2M06lonbpeFxGzgBBhC7LtjnRnNjQW7YMp2iVrZACIlXj+DTbV5680ZuHPomC+c+gdvlhXApW3afwqNrPDq0JQTD5OSVkBJwI4vDpAU85OSovvk/UVaWMzKfXi6RooIIpaURSkqD+P0ewPw9Vx6Q0saUUaJ2lNNn8pn+3s+89ukdCLczP7tBk6ocPXyGWtUqIIRGdlYhcQGPM8/bNjlXsaxx4+ps3Lifdh3qnQ8cflt3kLZdGhKxBSFLEDTF+WWzAGJLP6AL6YzQev08/uZoVv60md2Hcjh64Awb1+6nQcta5OMn6NIpDMM3r8yk/82XUaliYiwzQlJaFMQ2badAGxrSgvy8YlJSEiiXnnz+uKilDBUAn1tn8b3dyvpj/J9RZdeUMpOdnU1aWgLC5aFCeiJS05k9ZQQd29dmxitDadqqJsLnB7eP5av30blLk9i8K4tztz8aTmrx6ZMFVKtWnpQEL69/uJSpd3fFb1ocP5rPwPdW8cKS/ew6Wkx+toU/6KaZJwW7SGfol5v4dNFBWulu5ozqwIaNR+hz00c8MWk2N3fL4MZ+dbntptf4eOpSAloStatU5tor2zHk6jakeHSS3DrxLjc+w4dXD+DR4jBw8/D9H/PEI4MhGmTdhkN0bFQRLOeJb2HEJDlWdOpsKEyax4OUkOLzn78oK4qilJXs7GzS4rxgaJSP95AZiiLi3GjxbrR4D2tPFNCifgWE18fK9Qfp0r0ZJ06eZcS9V1IUFVi+AN0evQd3ejVsy6JR/26UT/WR6oEktyTgknh18BsSn2Hjd9nEuSRxLkm8W5Lgtkl02yR7nC3RLYl3Sby6JK1CKp9PWUhR2CZkSkwZwZImdmxzRnLDhCyTEhMOHS/kyMkivvl6E9klkqKoiTdeMPym7rz13kJwOfUZzuQFqVUlCXDSXTNzg5RL8CKjNqkBL1k5uWV7UpR/SXZ2NgCpqfGUr+CMYJ48fZaoHXaWDrRCsWUEQ0TsEMFIiEmPfk1pVPDs+2PwBnyx1GDJ97PXEg1Z6MKFIdy88uJs7hp7OZjh2BYBK8LIYZfy3rsLEEKLBbqCdp3rUbNeJQROyr5tRnnr9lc5c/QMZsSMjcSCR5MEXDZu3SYxJY5+Q7tQuV41Wvdtz02Pj6B5v86czI3y0u1vcTanmMY92vLu/VMpDUadbAgBOVmF/LpqX2ymgSAnpxjLsqlQMYW0tMS/OS6KcrFTga5SZrKyskhLTwfDS83q5Th0ooCUKhXp2qMFFetkIOITwR8Pbj/zF26ib/92WNKKdeba+TlZAp1VP+/hkq5NwIxQWhp2btIQ3P/9TiZ3qMfkpk0YWq4WfeKr0cFdhXp2OS71VGNKo/ZsOl7CCz/tw5UdYmK3Ovx4T1cuqZrAnU/M5YsZv/DRg5dSeuYkI4a8SO7JEAEjiYCeRMBIJmAk4dcT8elxeESA7MxSbh89lcFXdaF2RhJEQ2SeLaB8agBcOiLg4rLGFXl11xEMv8XRYAk14v24vTbp5VLVxUdRlDKXlZVFWvk0NL9BzfQ4DhUE0RLcaAkeiHfz8rwdjBvZEeHzcvpsEWnl43lu0mzyi8JELMGC5z9C9ycSDVns+fZb2g9oT5UAVA7YpHvt82mWrlh1WJ8u8cfW/fRpJse37+fEjn0ERBivFSTeZeF3Wc6f+wx6XtOFDWuPUBzViVjOPFw7liJqS5OobROMSiY9MItP31uGCCRw8mQBd90whZM5EYJmlIHXtOTHheuxdQN0Fx1a12Dh+qPYhoFwGxw4W0TNCvEIQyMtPY3s7JyyPi3Kv+Dcw+OkFD9Vq6cAcPDAKaJ2hIgVJmI7W9gKURoJcfP1U6hRvwoJqYnnR1sNTSKkxY5Nh+nRsykuzcP2Lcc4m5lLtw51IFISC3RDYEaoVT2VgN/D2jW7EUJDExo+j4uczFz8LotEl0W8V8PlcfHskMfRsHFpTpaD32WzfPYqfpixjKKTmezfuA+3ZoOQRCxBUVTjrfveo8Owfoi4eCo0qs21E2/CRGBJgSUhKS2enOwi7Fjq9MEDpwCoUaM8KSlxf3NcFOVip1KXlTJhmiZFRUXEJaaD20e9+hmsXrMbvHGcL08iBGgaO/ZkklG1PD6/i4hlogkNMLCxkEgEGr8s38HLz94EVhRNCISuQZybbk0rsrGwhMreRMIlOqXFNuGwTThqEY7aJPhc3Fm+ES+d2sbc305zRdtKaGEPnVPj6XxtS9adzmfoPV/y1O2X0LdrPSY9Np2cvGAs0+lv5zJIaVOuXBKjR/agc4d6EA2C0Li0cz1GjPuMQe2qk1gunruvbcaHP+zm2mUbOVRUwuC6FfAnR0kMp7Hr5Jk//2QoiqL8QV5eHvEVmqAleKifkcSnaw6jxbkRATdfrDtGq0aVqVi1HCdzQ1SunIppRyjILyE+OYGzhVCUlQ9o5Ozdi9vQSPVCBa9J3pFjpNYsT1jzEow4RXTiXBK3Ljl9JJPU8om8/+w3JCR6adupLsHsbF587GvC4Sij7x9Exerl8Cck0Puajhzbd5ITpwtxV4nDpVnowkbirIFr2pJ9+7JIrZTKgFH9iViCPjf2o1WPVpi6h5IoePUoTZtVZ+O2o7Spl0ZiWjJDLm/GnW+v4LXbOrHnZAF9W2Ug4lzEp5cnd93Rsj4tyr8gLzYdqKg4RLkqSXg8BqtW7mH+3M107dWEkpIw875ahwBeen8UDz53PeUqpQJOCr2hSXLP5HHsQCbTZt6Ox/CgSYMnJn7C9Hduh0gphEsACbr7fC7ys09ez+DhLzN3/lNoLoNqVVN5/Lo3GX5rD7r0bYGm6dz94i1s3XAQn8+NS3NWbzi+8xBrlu9m2id3c/ZMPnNm/spHb/7Icx+OBZePElNw7RO3YAXiCcfWl46vVJ5ZL33O7U9ej2kL4uICPP36DQTDYTSvxq5dRxFCUKN2OYRu4/F4yM1VGQqKIxixGPj2KgDm3dkZn/viWv1DBbpKmTAMg7Zt2zL/+/XcNuZSGjWqwfvTl1AUlMTHe/+wHp3Om+9/yj3jr8GWtvN0FB0pJZpwgkshNHKyC6mQngBFWYQiJvvOFlMjzc9t17Vm4ENz6dA6gTh/AgsOnuHr7CNotiBsW3T1V+RauxoTqjbkjs3r6Vw9ibTYhUqaNq3dHr66piXXTf2Ftx/rz0fPXQVeP38T5IpzE8pMZ11Gl9/5qhng8lGhakWevK8fQ55dSOMaafRvV42RN7ShXoN0ej75E9tDpYxcu5nNuSYDr7z6zz8ZiqIof9CxY0cW/LaPRy7rQNO66Zz6YRenwlESfW4+WryXH94bjvB6Wb/+CG3b1seWNreN7ws4N94VGtRECEmkIJsa7ZoQPHmSrxb8TOcutZkxZw3X3T+UsCUIWgIbwbpvVrDm+/VMfHU4E18Ygs/lrE0uhOTDL28jaoFlC1556js0l4vh4wdy6mgmO9flcvOYS7DOT2nBKUYloTQU5dpb+1FqQtgWRCxBYuXyzJgylxYtq3Jl/3pcc30HPpq2jDYv3wRmhJuGdyUu4OHSCd+RWxSmbq1yEB9g/pqVdOrUqSxPifIv6tixIwAP3D2LuEQ3Vaqn8e2sDUz94i5q1q+MJQXdB7VDx2lv5QIBgPPL9Mx4dwm//rKHByYOwqN7cGkeZs1cRc/uzaiQ6oVQIURKnRUkXNHz1ZdT4r3cNfZynnryMyY9ewPlUtP45PPx7Nt7guO7jrF+wyG6DelJoHsjLNtJ4Q+4LMrXSuGNt8YQ504iLiOJ554dTWbWGU7l5BK0S9i3t4BdB3Ko3bOjszqWBJcmKMwr5sypPOKrJRKxBQf3neWL95bw5nsjWPHzDqpWT8NwSxYv2ko4HFbtWTlPItl/tvj864uNSl1Wyszo0aNZ+NMKbrr1Nd79YCFSShav2AMuj7N4u26wfdcJioqC1G9YFYEW+6WjCR2BU20z52wJ5colI6SzCOPrEwfy5pzt9J/4A8/N38W7D/fl3l/34atczB4tl1FJdbnX3Yx7ac7akrMcLSjFDuncVKM6M7adQoZMZNBk4c5Mjp4uwlds8u6gZtw++XuKj51E5mchC7JiX7PJO3KE2Z/8xAuTvmDtD+uQOZkQKgahgccPviQ6dm/Lwm8fYviNPdlwOsTwt1cz6oN1AJwybeo0qsTZnDxGjx5dxmdFUZS/ultuuYX12/by3sojvLloLwAzfj3GjW+u4Mmxl+AK+MDlYue+TJo0q43E5sC+TM6tjtb4sk5omqRyy0bUbFKDRR/OZ+jIzvS7rDGH9p5CAhEb8sKQWSpIqV2DQaP7kl4hCa8BXh28uo5Xd+E3DOLdGgkeyWNPX0HVqklsWr6FU/tPUq5CIgiwsc5n+IDzGHLKs98hcApRnSv8E7IEvW/oxawPl1IU1ajdsDxns3LZse8M+BLBl8i113SiX49GANz51i80GfMl23Yf5JZbbvnzT4Ty/1uTJk1o164dOdlBGrSqw5EDZ8nLLqZKncpELA3TFli2ICrBkgJdSDy6zZK569m4ahcDBrVgxuy7aNGiFi7NgxXRmPHxIu68pSdEQxAJsXrdAUaM+5z16/c5o7uRIJghBvVrQUlxkGnvLsIl46haoSrdu7ahQ5tG7Np0lIMbtpPqMYl3Oen8Zw6d4LuZ6zHwckX/x7mi/0QevPcjUhPT2L3tFKuWbGfjLzsIlEsjbP1elTxqQ/O+7TlzOi9W7EqjeoPqtOhQj0mPfseyxds5fjSbKe8s4JUX5tCkSRPatm1b1qdGUf4UKtBVyszQoUPp1KkDn3y8iAMHT5GYGGDN+v1geMFwg+5i/8HTNGhYDSRoQqAJJ8g9t8SQIdys//UgnTo2ctZDRNKoUQbvPD+YRV/cTkr5FD5ZdZj7h7flxX0nuaJeOX6xTqHpAimhoZbMMbMITYcGyfEcKSyNLUincaAoSJHplEWs7HVxX5/6jHz4G07uO8myxdt55uUfuHzEe4wZP5OcXcdp7deZ/tlann9xHjI/yxnhdfnIixjsOh5i8aazHMoXNGjTgrvvH07FyuWpW6cS2w/m8M7crQwbNow2bdqU9WlRFOUvbsCAAfTq2YM73viZjfvO4vMYTF+4m7tv7ESnLvUQfj+4vBw9mUfV6uWxpc1PC7ZgSmeplCWvzEBo8Ns7U/G5JK26NaZG7XJIKZk89RYiliBoQW4YskLgqVoV25/A0p92OCu0CB1dc2FozgiaR/Pi0T34DIObbu7MgAFNuOO+vgy4ogU+3UYXzq2MU/hHi2X7gCkFYVsQtji/GX4/A27sTTAqiFhhJr90PXeNn8r+EwUQSIFACruO5FG3Zjkips3uwzn079+f3r17l+k5Uf51kyZN4vjhTF588DMatqpFsDTM7t1nCFqCsCUwbYGU4vzazR++/iO7Nh+mY6d6VK9WAbfmxRXb3n59Hrfd0he35qy/jG3yzNtLeXxsNx575SdOn8pxAuCoU6DqzRdHgmUy5OpJXHvlU3w9czVeI45X3rgFrwaJbos4l41Ht/np6zV07daYV16czcP3Xcn3Xz9IkwZV+Hj6IopLwkiXBxON1Aa1CVlgxpbCtSXU7dwc3ecjZGmETI2gqdFnSBcG3NCFgvxSklPjeHTCTHbvOsrTTz+NEOJ/PGaKcrFQga5SZuLi4li5cjV7DnzMb1vfplLlVN57fwFvvD2H7buOgabTr187SktC9Ol1Pwvm/oouXM6mudCFG5fm4Yf5G7msT2snZQgBugFuL8Ib4K7b+nD0bAnJVVI5HopQL8PNKbsEwyfRdMEhCqmXkIAvAJ8eOUK/uuloCR70VC93965Pk7pp6MletEQPvVtncP+1Lbj7xZ/YuPkIXasm8PWw1tzZsDK5h/LZueksE5tW59iBbObPXgOl+Uya/CU33vIK02b8yLa9B8nMzeLQqWMs/GUt6zfuxxfvpmOXetxx19V89tln6uKjKEqZc7lcLFq8hBO/vcbpDZO4c2RnikJROndpiAjEgzcALh+2LTE0DWkLdN0ZHQvHlhONBkO4/B6nS/Z4KCi2+HzGWlau2E9eRCMnBIVRJ9jNDYMnPZ0Fs9Y46+Yifn+gKc4FvD48mg+f7iPO5SHFa5Dk1ohzefBoPlyaJ5bpI5AIRk0YQORckGs7I8jnRnVrNq3NV5+soMQUJJcL8O60sdwzYSovvTWfvIiLhct3MXRwVw5ueZ2Tez5lwYIF6PrFNW/tr6RPnz5sO7yFt5e8yMSP7sPtcbHsx20ETY2wLWLrLEtyTmWxb+shLru8KZOeG4Lf68fQ3LH25yUnq5Q1a3ZxzaC2zpJCsXuO5CQ/63aeomZGCifPFDi/b1tgmWjS5o5bejP3q4f58tMJbNl8gNmzVpEQHyA5KcDaZdtAOLkI6eXiadWqLnv3HKNTu9qApELFFIpLg7S/tDHVm9ej8WVdCEudUFQjaAqi9u/rUH/x/GeETOksX2QJgqbG8sV70A2d9+fcx12PXcHeI+sYNGhQ2Z4QRfkTqUBXKXNVqzWheq1UXnjlZkpKQli2zb33TuXgwVP4vAbPPzWMuTMnsH3Tbvr2vI+H73ufpT9u4siBbL7+Yg22ZZNRKTk2okusiJXhjAq7vDw78RqemLaGccPa8d7BU1xSJY09ei5nPSV4XBq10vxsiZwlYtj0a5uBXs6PnpGIUSMJV/VEjIx4tEoJWMnxtGtelW8e78d9fRtQE40hr6/kq9UnqBpOROS7uOGrzdzXpBpvztxA6OwZVq/axhez7+fRZ67i2ps7kVarHIXoiKQkpG3TtFMjBt89kEefebpsT4KiKMp/UalBd1KqVGbI4K5k5ZSwZONp8CaAJw5cXlo0q8WqldvxuwJMm3knfsPErUGrIX0QQlJvQB+KI1Ac1Rh8yZMsXbSLqu1acLwI9uw6wb41OykqsSmMgO314/J5saQ4P0vsjwGvS3Pj0QP4jUTiXEnEuxKId8UTMBLxG4m4NT+acILR7VuPkZcfJGQ5a5ZG/jCiG7YAn4+l8zeSkx8haEVJrejj82/upUKVJC7p+QAFBSVc0qMNqVUyqFirQ5kdf+Xfp7y/EslVqmK6/bTq0ZJlc34lHEtdlsCJg6d57K5PqJCeSJPGNXHpzsMTZyTXgyHcvPX6HB6492qEtAHpTE/SdT56+XqyCsKUL5dAq6ZVnd8XwvkZaYO0wLbwunWeePQ65s1dAxL27z1F5pkiwpZG1NJo06kelm05UwA0AwwP7324kN4DWvDeWwtZvWQrB3ceIRgVhMMakYhGODaya0koX7MyR/aePJ++HDQ1Fn6zlnaXNKZSrQxuvPsqUuNrl+2JUJQ/mSpGpZQ5t1abcHQvXS5pQMVKKezec4yevVqxZ/cRamUkQbgYvwjx2NiuyLFd2bYvm1/WHWDJwg3Uq1eF998c46QKWREn2JU4F5pYMasKlcvRt0dTDhWb7C4I8nzTSoydv4uiqMWLNVsRCgR5e88hvr2lHXqqD1L8LDuch8vnoWKCh9XbTjJz+X78fjdzJg9EWBZ2aZjRn6znkfp1SStOpKQQDJcgWMFkxeEsUuI8nC0ME4jzE7VDFEQifPj+Cg4czKZW6wbMnjaXGk1rU7ldC0rcSaT4apX1aVAURflbvnogjtKifSIN61dh2he/0rd/p/M38jcM7cI1w17isv5t+WTKL6TVSCa9TRtS4txkHz+CZdr89v06Og9sxyPfNCYh4OZ4ieCTh99F8weof0UfVr7yEc0G9yOlWSVuevImgtEoiW4bKW2kiM25jS0n9+P831i1cjtpqfHUrFWRvPwSCvKK6dO3DQ2aVMVEAyQ/zt1E424tCJm/j+ieS/OM2BC1NfqP7MmGdYdJ6lUfXUTx6pKBV7di5mfLKQ1GePXN71ixahcTH38PlWfzn89luDj4yxHSOlSi1WUdePvO19m5+TDNW1XHpUmO7TvFG+/eTO0aGbGMMR1NGOdrghw7lsXePcd5btINsRUVdKfKshB44t2Mv72vM8qrnbv3cO4/fg96AZzUft3QidpR9u0/Q78b+1IS1TA0yewv1pIaF0/zFrVY+stu4pPiqFYznQULfqNS3Qy+nbmank+Np8R2/j4h/rABlwzvR1ych6gt0AUc33+cXZsO8vjUsURtQTlfbXThKrNzoChlQQW6SpnTtQQ00pBaLqNG9+aVF7+lVeu6TLhrkFPYIViILC2CUBAsi6blXTS9pinC7QGXCyiBkHAqHdvm+fL+54Nd4LZRPbls8CuMuaI5c9Yc4pPubTh6PEqlRDf37vuNV69oQmKVBCJxboa/sYLmjavgCfg4k11E47oVmPfxaB578Xu27D9Li/J+dhzOpXZigAwSyC6ESFjiiZOsPHOWq5vXwAxFeWPWNoZc35WIHebdtxbTY0RfGocMtm48xIHNBxj26njiG9anZVpd3Ia77E6AoijK3yGEl59+OUl6ms3YsQMZN/5djp4uplpGKlgmSQlebr+lN5Oe+JRHnhjG5QMeY2KLujRvXIlXJ7xHh4ceYNmzb2G4fbTr25Qdu49w9EgeLe64E8MtEALqXTGAHXN/ombD4cx+73v69qxD7241cGkmmtTR0EHARx8uYvfOY9x6Yw/OZmZx9Fg2qfF+6latygMPfMD8H5+OVVyWZGUVUa1xLbIjTqEeW54vvRALhaFVj1bkHz/Fzt1naNaoHIIohw6eYdHCzbz93m3ceGMfdm8PoWmesj4Nyr/JnSNv58XFH7JoxiJSK6Wx4ONFtGw9mszDp6ldO51aNSrjjo3k5mQVsm7tNvbsPsb+A6fYt+8E704Zh9A0J4A1XM5XPE6DkjZYYeeNNKeYplNU0+XciwBoGqt/3UaDhhkcPJrJVaN6UepJoDAi8OqC9j1b8O3s1dw34Vquv/olhIApH41l+me/0HpgW6hZn6jfjYzaaC6B15D4XODRwRDgK5/C8mnzuOaOQdgS5k1fQkq5JNr3buWM+PoalNWhVy5gAkHlJN/51xcbFegqFwSPUZeguYabR/fihWdnk5ocjyHDECykMPMsjz0/j/2Hs9GQVKuQwKVtqtO7Sx3iUxLA60W4XM6dTKy0P+dSiwCEhsfv5+5be7Jt417WZBYyor1FXdx8ePgAlzepQLNmFZDJPm56exWjh7alb79WzjJCuuHcJZkhkhP9RC0bpGTbsVyapyVjmQKXW0B8hCdP7aJx43J8tT+b0WP6sWZbJpdf1YaDx4+wY8tROg/TKTEF3783j+Qq5ajcvgVFEWiaXq9Mj72iKMr/S4tWPXjppUdZt24vfr+bl17/jrdfGR1bTi3CVZc1Y/mK7fy6YgdvT7kDb7KOFvCRUacKugzT4vZx5B08yqp5m9n/0yJa3TWecMSN4Y4iJSRkVKFK+zaUmIJKjWqzce1BunWugVuz0IWJLXR0XMz+eiU/LXgKLVxMw6oBaJ3hBBouD6+9YyCljS0tSkNRxk0aSq7UMWMjXy7NuTy4Y19t6czVxevnhXvf5c3P70Akunjtxfmkpscz6No2mDJM8+a9yvjoK/9OyZ54mtRrTtFt17B4ylesXvArWQ8OZN6HSxh7e09cmofszBLuvuMF4gJeOrSvT/vWdbhh6CVUrJSK0HTnQbrhjgW5xIZTdeffQzTkZJXpsSBY02OBrtMObQmvvfEdn3x1L7eNeZsh469BlBPM+2gx3QZ2oHabhtSvk4onoPHU5BEkpfg4k1tAx36tOHosi81zf6XbqCtI9Rpo2Lh0gQbEqpMgpOTw9oNIIOtULsu+WcXQcYMQhos4oxwBV1LZHHjlguZz66x+6NKy/hj/Z1Sgq1wQ3FoGIXzExUGFCsksW76F7BOnKM06w83jP+Px61rS+dqm2KVhDmcVs2T3WUYu2EZ8nJfxN7SjebMM8HjAcJ60CsMC2wYtdgkQGgMva827Hy1n7PVtuPfzDfRKT2ZPqIhHL2uGSA8wYcZGBvRsSN++LcGfAG6fc6GyTJAW8fFeioJRAPKLI1TyuPDqNjvNQl7dv4/urSuztyTCV5/ewZQvNtJ/QHuQkszT+TRqWRNLwoGtB9n580b6PzEGE43a8RVI8yaU7cFXFEX5fyiXXpdJk8cAJTSpP5YPPviB+++8jGrl/U4Kp23x/IP9GXjju8z+bhJvTP2Guh3qct34q9hwOIjbk4C3UkNKTrhofveThG0Xmm1iGDa2dKrfC01w5uAJmjWrT1gECZoaHt1GFyaa0MnNLaRcuSQ0bCdzxwzHAgpnHqMtJRKJLS2WL9vFjj1ZdBnWD8HvwS0yViQrVrxHIvCnJHPlmMv4af5WWrWuxuyZv/LoM1djeCS2DKBrKWV67JV/v5bpdTjS5ARj3xjHU4MeYsZrczBLgzRpXAMrIrjl5ld58+VR1Ktd4fyzcjQ99vBcRwqNsCk4diyHPXuP89Oi3zhw4BRNm9bkvnuupHxq3O/py0Jj/4FTZGUVYJoWM79cRr/+rdm55yi+xDhEUgqrF2+hcuNavDXuLZ798mHyjhewYfkubh97Oba0ePnub7lsZE9q16nIgRrpfDnhVe57bzzTnviE3LP5IARV6lenaqMaVK6bQY3GNQH4dupcPH4P/Yb3wpSCyoH6ZXXIFaVMqUBXuSAIoeHRa/PRp2/z0AODeeSxj7jv0RkcP3qW9+/sQnVDYGUWIYMm1YTGLc2rMLptNQ6XhHht1gZKZq7j9ft6k1QuCXyAy4ylMbucR50IhO7iiQeu4PMvfuGua1qwcs1BPh7TAa1CAo/N3kq1amkMu64TBBLAE3AubrZ97gOSnhbPmbwSEMlUTg6weP8JfrIyibo0bhrYgJ8P5fLRS0Pw+j14XAbRkIkQGs1bVCelRhVOh21mv/AZ5WpWoX6vjpgSOpWvW3YHXVEU5R+ga9WImNuoVasiwWCY+x+ezldTb4RQCdIy8Ws6T97bl8cemcbd91/D7Xe8yZjJN7Lqlc9o/cDDFBTA/9fefYdHUa0PHP/ObEtvhFQIJQRCDaGHiCAgReCCBRsdUUH0AjbEq+DvXhXLtV8FRQUsiIqioiCCdJXee0/oKZBednfm/P7YEIkFGyVZ38/z7PNsdiY7c/KePZl3z5lzrNUTyS8Ai0XhsBWQe3A/ofXqomk6BcePQUkAzkax+FUPZ+3qg3RIrYNFM7DobgoKSgkK8itLPH5sk9F0ikrc+Pg4MJWBodys/X4frbp71gi16mBVnpzYpcAwPf8O3J4l19E1jYbtk9CK8pkw6FkiokPoP7QjTsNNoE0m7fFG9YNj0fJdLJ+7mIFj+/HKv2byxZJ/YdMdvPjCFwwf3IUGdauD21l2n23ZPba6ztFjWdx+54sEBPgQHRNG/cRYht7elcRG0axbfYDhd75Ik8Z1SE6O56uv1pKVnUfdOlHE1gjHarUwcHAXGrWI4nB2Lrc8cDOvP/MptVs1JqZuNJ1v7YrT6aZuk7q8++IX3HHn1ZgYHDmcQUK9ariVya2DU7hxYHucpsb9zw7DZWoUFhsc2JHGscMZxMZVp8Zd/TiyO53Fs5cyePzN+Ab4YdN9iPSLu9x/eiEuC0l0ReVguLHv3sn3K3by7ltjcJ7JZNzEj5gx/mpqWzSMkwWYuaUolwkWDd3XiuZno06AD68MbMna47ncMP5T5j57A4GROspuRzPcYDUon1xc02jXpj7Pv7aQWk1juTKxOqcKS7n9v0vo3TmRkcM6ovkFgs3Hs7+z+MehSIabqDB/thw+BbpGn9Y1OZNbTFK9arRsFcf/zdnC6BuScVg0MN0kN6nBijU76dAlER2d+wa9QpuebTi4eR+3T3sYm81CnNtNk2OrISTa0zMhhBCVjeHGvmszO0qOkpRUl0E3dWDwiJeY/4/G9GxVE1xusFm5onk0Mz/ZQOGZUh5++CZqxPrQrGksJZuWU71RZ05k+OAstWC1uig8tIecnWvZ8PbHpNw9iLy0dJr0uhmnCcGhobz52Mckt7oHmw423cQvwE5eXuGP8y5Y7J6M1erD/PlbSL2iCYZy4zJNmrVOoHbDWhQYnl0M5ZmAymmUp8hYy3rqdDdYNI1tq3axa/Mh/vnYjWB3oAoNfA9thUbx0jZ7Gd00SHGVcCA8iGsHX8H0pz7k4bHv8t77sWxYv4+Hx/b2jBo4O8uT1Yf532xkxcptrFu3m/9NGU3t+AgM5cIwXbhMF4VGEUltazDr03vZsu4Iu3Ye5fHJQ4mOCUWd7RZW4FIlvPHW15zKd5F0TUc2LV5PcV4BW79czoOv3IW/A/xsFjr3aIbLcKHp8NIbw1i/fCtFxS7adWpEgL8/pYZWtnSWjl3XadaqLg1bxOM2FW63YsZj04mpE03PIZ61nxML3Oim6blJXYifKHEZ3Pj6DwB8dGcKPjbvWkpNar2oHJSJnnmAx29sgx03duUmLjKIJ2auIe9IDrOWH2DohxuZuSYNI8+Jme9CFbpQxW4wFG0TIritRyNmLdwBbgMMz3T+nlmY1TkTVGlMnng9I59bwrozpQz63yr++1BPRg67Es3P33MBZbih4AwqNxOVk4nKyULlnuFIWobnA6PrWIN9GH5tE1omx6JpGs3rVuO7TUfA5QJXKe1b1GTZ0k3opgWH1ZcaNcN4beL7XHV9B5q1a0SgVefW3L3o2fvLhkQJIUQlpEy0zP2EHzlK16uSGHBda7p1aMCAsbPoOOgtbn1wDkWn86G4hEnjuvPM07PoeEVzjh3IJvNAOjd2r41v+kpiw7IJDSnFdWIL2ds30OfeW7n52bHExlWj24NDCAj08dxHGxpCu2vasmXLUYrcOk7TJDDIzslTZzA1Hez+4BMIPkGkZ5QwZdpChtzWBbcqpcRlkJtfgqbrGMqzxqi77OFSnmHLLvPszMue2ZgzM/OY+shMWnRsSkGhixKXheq7jqBlSdvslZRJJ2su16XGc3xvGldd3YxdO44y8JZnmPx/A9BMd9lShRroFt79YBmfz/ue625qx0fzHiCylj8FrnwKXAWcLspl9sffM+CGF3l/1goKXQU0bRXNgGEdqB7lj9ssxW06cZtOXKqU7NwzfPzBd1x9Y0eC/G289MVERj3Yl+feHkmtYIMQs4B136yjabMaWCw6Fs1CTGQYjRrEUJJXxKtPzMVhlpJ58AjBdoNAm0Gg3SDAZuJvNfGxKr6ZMZ99m/Zz5xPD8XFYiCrIpdbJQ1KXxa8ylWLr0Vy2Hs3FPHut7EXkq0pROegWaNCD+pFHyc8uZu6CzXw5sTttx35Km2e/ZUC9aP7dMpF39hzh6dWHmJAaj3JYUG4D5TbRTJMjWQU0b1Kj7FtLBZhlSa7546yHmk583WgevKcHk19fxKyXbyEiJgzN5gOaFZxFGAV5LFu2k29W7mNvWjaGYaIU1IkO4vFh7QANzceGcpbN8Gwa9GpRg2se+5rBfZIItdux2hzc2Lc1b037mluHdmLHlnQCgny59/GbybcqUgNiCfcJgJAaP05qIYQQlU1Z2xyXc5SoSH+00n20bhzFijX7Cfax0qd1HNPmbGDMiI7UjAjH12Eh7WAWKe2aMO6+Eua8vYDGbRsy88XJJPToxJH5q7j5yVFU8wGX3U6J4Uk6DeX55t1pQkq/K8nYuY/jJ/MJqBmIicGtgzpx/c1P8O/HhlI7LpxZs5fxydxVvPr63Vh9TEqMUnbsOMbOLem06JnqSW7NH9cYNcseZ7lMwDSZ/sAUTFNx1zN3EBsVyJH1ubSq01baZm9VVp+75qazsmgPTzx9K2FBQbwzczEnjmfSoFZI+bD4jOxC3p/1LZ/OewSXKqbYXUhOvotRg1/HcJt0uz6FlO6tqJfSnI1LN5OeWUTeycO0aF4Pq25H13TK7p3CMF04lcHDzwwkzA8suoszhcXs3nGIbd9kcMeoq7hnzAyuuLIhza9ujlVzoJVNYpXYoA4NGtTCVAaZWTm8N3UxJaUuHvh3fwLDQrBpUKpr7Ft3gA+e/5i+I3rQrG197FhIstaABnFSl8XflqaUF6bvourK2k9RUT5bFr5CK4eTAc8u5ePtx3mqbSJD4muh6zBw2Qbe790E/zBfLCEO9Gq+6CG+DH5tFf+bcA3B0WHg64vm8PUMQz53en9llvX0uj1LFymjfAkio6iIN99ZyccLttOxUSS9k2NpFBOEzaqD1YJmtYDV6kmkDQOcbpTbABSaxcKag6d5cd4OZj19PVpIIKZvEH2GvUlQWBCfffY9r824g9XrDnPnfSNoaW/i+ScWLveBCSGqgKz9KEy2b3yfZ178hP5t4+j72AIevTmZjYfO8MWrt6JVr8bKbadZ9P1BHv33AEqMQord+bz99gpiEmoSHBOF4RdIsWnBrnuS2qKytW5LDE9CatchxA4Hv9vI6bSj3DPuaoLt4GPx4dC+00yftpjMjDyuvroFN916JVgNXGYxJe5ipk5ZRkBUdRp1aEmuUyPPqVHopnwt3XMTXZsOS1/9kBUzv2TMG+NpfWUTYhw+XOFojNVilbbZ22XtZ9fRrdRsDCMGvsSRI5ns33+c1Yv/j9q1IsDmw7gJ79H3+na0bFeL3OIcRg6fxr2TB6F8Ayk2rbgMrXy+Kh+LwizI5eUJM7iqayK3jeiMVbei4bnH122WsnNHGo8+8BE+PnYmTLqefbtPUFTgJCW1IY0b1y5LbD0LvJx937PLvZydbM1UbkxlsHtPOtWj/Pnwg3X0ujmVU5lFDO7+BBGx1Zg8ewK61UYzezw1bRFSl8V5FTndNJq4EICd/+6On927+kC9qzTCK/j5BdKu080cfO8Fiord3NmoJg+v3U2E1Y+ecdVJCPHnSH4JDcP9wFK25pemkVvoJCjAUTbJsnbOIu1lyteyK/vZ7usZpuwqJSfjNLeN/5hOjSKZP74zeqETVeKG7BIM3XNPML5W8ANNL1suQC9bpd0EZRi0jQ8jNTGCp99cyUN3dkS3WmhaP5JnX1vIK6/cxY3XX8WOre9RsyQCzeF9a5UJIbybho7F0ZBnR6QSYTX5v5uTmTR7E0l1q3l2UCZXtKnLf57/El1ZsGh27BYf+vZrwaPjPyS2diT9hnbm9L5TxDaujWmxUejWyXPpFJUlpEp5JotqlNqMl2Z9S+6oq7FbFFbdSXz96jz13JCyi38NEwPDdGKYbtwKrh/SiawSC3lucJla+VBl1y/06K77ZAnLp8+j17hbiG/bBJepkeSo50lyxd9CwxrNyD69F5fbZO7sCaR0fIBeNz7LyoX/odhwkpZ+itYp8RS787jvnnfp3DcF0y+YXKeF3buOs3bhelr37cDJvek0bl2f2PBgJrx2Fys+WUGB04m/3cSq20CBrllp1jSBeV9PRNesWDQrKa2SsWhWdO3H3laFQikThfnj/b0ASqE0K6ayYio3jRLr4DZdREcGMar/C2Rl5KNrMHnaKIJ9dQIJ9iS5QvzNyT26onJQCgoyoeg0KIUWWpeNxdUY27wWj7VIpGdsJKN+2MyS45kUuNz4261g0dCsOppNx6kUCg3NZgWLpWKSe+6gBU3/8VHWk6vcbkZP+oxx/ZoyulM99NwSzOwSjKxijJOFGJlFGNnFmAVOKHF6Jl8BsOho5x5LKUZf05AD6dksXLabV6Yu4dnXFjLsllQWfb0OzWVl8vgHiQyO9JxT0WlPmWVQhRCisvpJ29yocSsi4tujDJOHr23KiK712XIwmw+/2YkyFRqKxPqx7Nt7HKtuw6o5iAqvxmtvjuCfY7sQoArZ9d1WJg5/gfz0w1TzcRPmMAi2K/ysnpmSlQJlsfLotDFoulY2zYKJodw4zWKcZgkuswS3WeKZFEi5cZvwr7uno+kWlNLKlhD6cdiycc5jy1cr+eqp6bS5qRupg67BraCpTyyhFn9pm73dT+qznzuWm264iuoRwcz/9F9kZObR/doneOzJD7nvwetwmSWcKSxm0D970axzS06XWNi6/RifvfElEUkNcfoHUYyFl+5+kaMn8ig2bHS7qSOvvrCIfXtPYCoTDQ2LZsWqObBbfPGxBHDySD5PTPqAa3tP5No+j3Btn0fo1/sRBt0ymY8+WIly61g0G5aypFjXbJ4EWbdh0e1YdQd2iw9duyZTWuwm42QO94zvRe24IAKtFhrZ4qUuC4EkuqKyMFyw7k3Y9rFnWDFw7bh/0e6KDujo/K9tEh2jwhm2chMbMnOJDfVFs1vAYUFzWFi8/SRXtYrzrKOrlyWyaJ6hysrwvH/55FQmPw4MUixdtYea1fxpXysUM6cYM6cUI6eEb7cc5/01aRxLy8PILsE8U4pZ6EK53J4rp/JeXc2zRqOp0JTipZGp3PPcYsY+s5AHhqXy5pPXcseAVL6YvRmHu+wbVtPtKeu6Nz3nJoQQldEvtM1aTHu0yGZoFp1XR7YnNtyfgY98zvSP1wHQtVNTlizZhK5ZsOg2rLoDh+5LtaBQ6sXV5F+P9mfOvPtp2TSa/46bhnEmkyCbib9VYS9bzUVD8fUHy1i7fAcAJiZu5cRlluIqS3bdpgu3cmEoE7cJeblF5Qnu2et6XfM8N8omo1o/ZzHz//MGSf/oSLd7B6LQaOIbQQv/WM8vSNvs3X5Sn30d/vS+sh8oG/Ub1GTxV//HgUMn+eSTFUTFBnEo/Shj7phOQHQ0p3INXnzgDSyRUXR9+E6CGtWnSFmJadWUXvcNJCszH5epYSiN+MQYVi7b7Rl7oOmeRFe3Y7osPPbIOzx0/+v06NSIL94fwxfv3cMX793DvNn38tpzw8k7k0PfPo+yZ+fRsiTX0+uraxZ0rGUJsI3TWcXc0PtZDu4/xYdf3Ef2yRxe/fenJGqNcWgOqctCIImuqExsvj8u7QNYbTb8bx6BLaEBdqvOG1c054roMHacLuClTelg19EcVnDYeHfpPgb0aubpzdXP9rCannVwz96T6y71PAyXZ8iy4QKXixenr+L+fk1ReSWYeU5Kc0q4/dPNLD90BsOpcduC7SzZkYGRU4rKK/UMaTZNPLMy6mhWvfxqqrTUxbgpqzhwPJfmCdWZPKoDFBdzTccrubXvwJ+U18dTZiGEqMx+0jZrmoaW0BOqJ1KqoHXDKG6/vgUjxn/Mo099xhUpDVi+fAs6FqyaDZvug93ih8MSgI/VH4fFD1+rP/52fx6Y8A+eGvMmdlcBATaFr1Xh0MFugSP7jhJXpzqapjCUwmkY5zxcuEwnbtPwTDxlKFqkNPB86Vh+np6mWdcAt8HKVz9gyX9nkNy/G93GD0dpOom+1egSXPsn5ZW22av9pD77OYKguCZodpol16dFiwQcDhudO0xg7Mh3GDS2L2dKNV568E3qX92ePNNKbqlGQalOsVvDaUJ4vThOHDiOpiksmiIiIpB6CdFlw5RtWHU7RXkubr7hP7RsWpOP3r6L1OYx6M58KM6DolwoziXUTzFqaCfe+N9dPDZpBsOHPssnH68oG/5sKX/s3XWcrh0nkJ6WybyvJ9KuXSMmPNKfR+8ah68WdE5ZpS6L3xbmbyfM3365T+OikJtRROVgtcMVYyFrf4WXNauNkBF3ot56A+u+XVTzsTGsaSyPLN3DhjMFTLu7A0V5pVisOpERQWVXNGeHLauy3lzzx15cpTy9vWWTUq36fjcJ0YGEaWAUOFFFLv5v8R66xFajb40YXE6NruHR3P79RiL97TTxtaIFuVF+JtrZNek0DU3XOXgil1ufX8aWQ6d5896r+HbLcQ4czqZechOwNalYXosNWgyRSSKEEJXbr7XNmo6e2I+dB6bSqWUt7h7Rkdr1Ynj4qS9Zv/Uomm4hOzOPahHBWM4ZNmliopSBoQx0ZaFhgzheen04uo/CqrkxlBWXCb4Wk0bN4oiPrw6YuAytfB3c8nPAk8yaCpxOgyu6N/fM0YDi7DQ+Fg0Ks88w519TSN+0i05jBtLiph6gQzP/avSrFl8+uy0gbbO3+7X6bPqgSuJ488O36XJ1Mv+bdgf9r53M6lV7aLnmEI3DatBuYC/sdWqTX6LjdGvn1D/PtcXqeavoc11rrLrCpkP7zk3KhizbwW1h6KDJPPrgdbRpGgOlBeAqBbcL03Djdrqx+zjA4fkiPS46kI9nPcSprHzem7WUf/R+hBdfGk29hFhmzVrKyDtfIK5WBMtX/h81a4djmAYBpYnYws5JcqUui9/Bz25l46NXX+7TuGhk1mVRufzkn89Zyu1m7QvPMHPhYv7buwnzjmZzx0ebCPSz0aVFTW7tncTVVzYAHzvY7Wg2m+ceXE37cYkh00AZRtnX/QoMg363z2DqqFQiSp0Y2cVkHc/jzk+38G6X5riKdVxODcOlkVFSwvitW/nsllY4agViiQpA87WDpmEaJm9+vYsH3l5NtUAfPnzwKlo3jGbXyXx25FfnxoH3/Hp55R+QEKIq+JW22e12UXBsOUEhuWh+QSz64TAD75yKy2UQGxtOXFwEuq5hmoqoqDDuvKMXrds1xFQGbtOFS5XgMkp4661FZOU56TGkO05DZ/WCNXTo2ICYSF8sZc24qTR+esGia54pe9LSTvPWy98w6t+DyXHq5Dp1ClyK1V/+wKeTZ2KxWfnHf0ZTo0UjAFKCIugbXrtiknsuaZu926/U57QThwmvX0KBO4sRQ6Zg2uzMn72KsNjq3PrGRNwBYRSVWDAMDYtF4WM3CfIx8SnIYcXUj/jXi8Pxd+fzn3veYtac+7HrPth0Hybc/zbtW8dzfY+m4CwEZzG5p/N44pXFbNp5HD8fG6ZSPDm+F02T4sEnCBz+nsRcs5B2JIvhI55DAcuWbeHmW67itan34OdvxzTAXlgTi+H3y2WVuiz+xqRHV1QJmtVKy7EP0DApAT19Dde1r0PbtnHcPm017yzaQ67TpG58BPH1osrvmfXcn0v5EGbldoPb7VkayFR8NH8ryXXDiLTrmLlulMtkyf4srqkT7vlVBcrQMA2NcKsf7cLCmbP5BDeH+aCHuMFmYe3+LMZN+4E1ezIY3rU+zw1rQ5CfHbDQqP0NNK7e7DL/5YQQ4uKxWm0Ex3UB9z6wHOfqLslsW/cio8a8wdwvVhMbE8qzT99Go4ZxHErL4Mln57Dq+x2Mu7c/uqawYMXUbQwZ1ok7hr1OYtJeCorcLJn7Pdddl4QGuE1Pb65ZluzCuffgauiaZ6SOUqps6Cgc25POO0+8x961O0nq3o5eDw7BGhQISqNraA06hMRcrj+ZqMRqRdfGKCjlk8XLadKmPqk3dWPXzpOcTDvJ6/0foPmg64nv2QPd5gBNYbEo7BaoFhHM8EcH4tAVy79aT+9+rbFqnkmjlnyzhZLiYq6/pnlZT24Jx45mMXjcB0y4LZWnR3cEpcg4U8TQx+bx+PhetGzTGKyepRGdbidffPEdmzbvp7CwhFdeuYdRo/+BUgbKZcVWGIVuOi73n06ISkl6dEXlYLhhz1eQdxLqdiyfEfmXmFlpmLvnoVmK2J1ZyL2vf8+Ow9mczC5gyLUtuH/kVSQmROG5BV2hzLLhyy6XZ+1bl4slqw/yzMwf+HJSdyx5JZhnijHznLy4eDeNA/xJDa+Gq0THVaLjdmooU8OpuRm5YT2fD27DFpw8vXgvX204QrPaYbx0R3uubBLlufoKrImW0AvNJ+TXy2u64eByCIqCBr1AlrQQQlRGf6BtVhSA7SjY3Cil+HL+WsY9OJ1DaRnc0j+VB++9nqbN4hk4/HkefXQwCYmxuM1SXKoUl1HCmbwc8lwan8z6gX63phDoby+bOVnDNDXPDMplxzqb8Gp4enVLS1zs2XUcl7LwzsvzWfnVWiJrR3H9Q4NIaJ+Ey4RqFn96h9Ulwv4rPV8gbbO3+5312VQmh51HWF1wnJUrd2OvVYtvp3zCzs8X4RMaSpMb+5F4TQfCwmyE+8D8/7zOfU8NoWaohr0oh/DgEMICq3Ems4TBAybzxQf342dxgbMQo7iQPsPe5vn7u9IgNsTz5bthgq6TXVDKTf/6nHnv3IXmH8K7n6xj8nNzST+SxYjbejB0aHemvv4VM2aMRxUHoReHlK+1+/NCSF0Wv63EZTDk7bUAzBzeBh+b5Td+o2qRWi8qB2XCqZ2eqfDrXHneXfXwWmjtR6KOf8+Sxe8xun8LurSvx+ufbeGZ6d/x9pwNdO/YgKE3tKZP14b4WnVPT67TzebtRxn/4mLaJkYy66GuWN0GymWUz15S3d9BRnEpuq7QLQpNV+XLWxQ6TQwD2r6xgt1nCqkfHcS793bipg51sVh00O1ocVdCVItfHw5XXl4F2fuh+DTU73mB/ohCCHGB/YG2WSMA5WoAKgNNP0Gf7kl07/Qsb7+3jMnPf86sj8bR6comJCXVY/6CNYxJvN4zx4HS0TSdoEB/7IabYXd0BE2VLwtUfipQvnTQuWvi5uWVsOyrDbz94lccPZRBRI1w7nziNlr9owOGbsVUGqmBsbT0j0GXtvnv7XfWZ13TqeuoheuMTlEbf3YVFpM6Zgj1/9GDze98wvrXp7Pl3dk069WBxBb18LFbCAmwcmTPIbau3Ml999+ABRvjxjzPs48Pxs8OOJ1guJm7YBtXp9SlQVwYuI2yoQqeYWRh/na6p9Sl1+ApbNt7ijM5RdzQrx1fzZ1IoyZ1wWLjs7lrcGeFY9f9f6OsUpfFbzOVYs2h0+XPvY306IrKwTTg2EbIPQoRjUD/fd8o7d62lhjbXgL8DbBZKVUas7/exhsfrGX1pnT8fG10bleXbu3qkhATzFNvf8ecf/cmzKFDqRNV7EQVujDLHidO5XPfl9uZ0aUpeYUmG44XsPpkDstOZrE++wwmimhfBy9f25zeXeOxBDvQdA2C4n67F/en5c3YCcE1ILbF7y6vEEJcUn+ybVZaEVgOglYE6LgMk0/nbWDqW9+wfOV2rFYLXbok07lrEq1T4mnUNBaLXWGYLtxlywV5lgTyLNfiSXo13KZGSYmLSXe/yYHdxwmPDGbz6r0YbpOgED8eeGYIrbq2pFjZKHTrBGr+XBFQlzDreXpxf1peaZu915+oz6ZSLD1znM8yjlPs8uSPxZmZ7Jv3Dbu/XkVBdi7h0WF07JHEgW2HmfzfQXRon8ycWd9zLP0UE8ZcA84icBWDs5hB/3yP5+7vRvVAO8rp4sTJPH7YdpQVm4+y4IdDHDiWg82qc9fQjtx9V2/iE+I856nZwIjALArG8nvqpdRl8TsUOd00mrgQgJ3/7o6f3bv6QCXRFZXLr0wQcT5KGVB0GFWyD8gtW0dXY//hLD5dsJUFy/fyw5YjuNwmVotOQmwwdSIDiQr2IdhhxaFpKJdBSYmb7LwSlh/Iwuk2yShyogA/q4X24WF0ioygZ0wk92/ewmeD2+JbNwg9vjF6zVYQGv/bvbi/RCaJEEJUBX+mbUaBfgYsWWAp8lxo6zbuvGcK/oG+bNt6kFWrtlNa6sJi0aldN4JatcOJiAoiKNQPm92GqaCk1E3O6SIyTuVy5FAmx9IyMQwTu4+NpNYJnDiaxRNvjOSDqd8w/r9D0ewOHEYoNaxRxFjDfrsX95dI2+zd/kR9Pu0qZcWZU/yQm4kTN0E2OLpiDXphHtmHjrJ+6VaOHM4EIDjEH2Uqul7VjOiIQPwcOnYLuEqdfDhvE62bxHLsRC570rI5nVsMQO3oIHq0q0vvKxPYsD+T9u0b0aV7G7AFgFkdjHA09SeWgJG6LM7D2xNd7yqN+FvSNAv4x6P5x6Pcp1GlB6A0nXqxITw4tD0PDGjD0H/NJSm+Or4WjV2Hskg/lcfWQ9nkF7koLnWjaRoOi0aoj42k6GC2n8xjbKta9KsdSX3fIDAsGC7PckJtYiLJrNWSut16owWEXebSCyFE5aShgRkGZhjKXQK2HE7mHOXYsSw+n/cfDFwUlRSyadM+tmw+wJ7dx0hLy2TPrhPk5RVRUuxC0zXsditBIf5Uiwjiym7NqFUvioTGNdmxJY1rB1/Fvl1HmT31Gx57+Xb8i4Opa0vA73z34QrxJ4TZHPSLiKN39RrsKDzNuhP7+WTOEp5+bxzBWhEL6oYwaFAXtq4/ytRX54NpkJdXyL59RykuLqW01IXdZiEnr4SM7ELi48LoeUU8DWtXo23DaGLDy4YiW3SqRwaz/mAuXcx4cEagoV/ewgtRRUmPrqgclIKSXDh9COwBnpmT/8rbmU4oPogqTOeN9xeQl5PH/Te2gFInOF0opxtK3ahSw/NwGaiysXLKaZCXX8qITzZxbd0IrqsdhWEPQY+qhSOpBfbmSVjsf3GGQ6XAWQBhdcAn+C+XVwghLooL3DYXFRdRZGYTHKnj0vMxKMFQbhQGSpmYmJjq3OeqbPgyGKaGu2wYs9vUmPv+KjZ8t487Rt9Ai/hmRDtisWh/cXimtM3e7QLX51MF2ZT4neHlF96ky9UN6dihBUV5JkMHPcOXcyZ4lhJyFZetmVuKMtxM/O/X9OucSIuG0eWrQHju0QUsQeAbielbD6tvxF8vq9Rl8Ru8vUdXEl1RObidsPI5zwQRrYZ7Fjq/gMzSHLTiTFTBCcg9jso5gSosRJU4UU4D3CbKZYLSUTY/9NAYVEg0+4t0YhKbEBpT44KeD4YL1r8NfmHQ4T7PWnlCCFHZXOy2WXPithRi6AW49QJcegEGpSjNrJDsmqaOadqwmIE4VCAOMxAfArHjc0HPR9pmL3cR67PCRFlK2bJzB5peQlLjcHDlglHsSXbdTvJzC7h25Lt88spAggLDwBqGZg0FazWwhaBpFzDJkLosfgdvT3S9qzSiarNYL9r097ojBBwhaCEJcE7OmplTQERCMgAZ+zZRPSSgwu81vihnU+YillcIIS6Yi9k2Kzt2tx0IrfB6Zk4Bkedpmy8qaZu920WKr4aOZviS3KCV5wVn2QYdMosrXmuEXKr6LHVZ/A6+Xrak0LmkR1dULn9igoi/orCwiIDaSQAUHN6Cv/8lvq9LJokQQlQF0jYLb/J3qs9Sl8XfmNzdLoQQQgghhBDCq0iiK4QQQgghhBDCq0iiKyoHww2758Oh5WC6L9lhSwzzF59fdKbbU9bd8z1lF0KIykjaZuFN/k71Weqy+B1KXAbDpq9l2PS1lLiMy306F5wkuqJyUCac2AIZuz1T4l8ipvnLzy86pTxlPbHFU3YhhKiMpG0W3uTvVJ+lLovfwVSKpXsyWbonE9MLp22SqdhE5aBboM6VkHsMtL/B9y+aDjVaQ3Csp+xCCFEZSdssvMnfqT5LXRZCEl1RSegWqJ16yWdCvGx0C8S2kNkQhRCVm7TNwpv8neqz1GUhZOiyEEIIIYQQQgjvIomuqByUAmchuIov6X0zl41SnrI6C/8e5RVCVE3SNgtv8neqz1KXhZBEV1QShgu+exk2vnNJZ0K8bEy3p6zfvewpuxBCVEbSNgtv8neqz1KXhfhz9+gqpcjPz7/Q5yL+ztxOKCyB4lLILwDLpbl9PD+/8JznBTgsl+hbT8MNRaWgSiAvD6z2S3NcIYT4I6RtvjTHFZfG36k+S10Wv0OR041ZWgRAXl4ebnvVmb4pMDAQTdPOu4+m1B8fz5CZmUlERMSfPjEhhBBCCCGEEOLPyM3NJSgo6Lz7/Km03W73fCt05MiR3zyAqHry8vKoWbOmxNdLSXy9l8TWu0l8vZvE17tJfL2XxPbyCAwM/M19/lSie7abOCgoSALqxSS+3k3i670ktt5N4uvdJL7eTeLrvSS2lY9MRiWEEEIIIYQQwqtIoiuEEEIIIYQQwqv8qUTX4XAwadIkHA7HhT4fUQlIfL2bxNd7SWy9m8TXu0l8vZvE13tJbCuvPzXrshBCCCGEEEIIUVnJ0GUhhBBCCCGEEF5FEl0hhBBCCCGEEF5FEl0hhBBCCCGEEF5FEl0hhBBCCCGEEF7lTyW6r776KrVr18bHx4e2bduydu3aC31e4gJbsWIFffr0ISYmBk3T+OyzzypsV0oxceJEoqOj8fX1pWvXruzbt6/CPqdPn2bAgAEEBQUREhLCbbfdRkFBwSUshfg1kydPpnXr1gQGBhIREUG/fv3Ys2dPhX1KSkoYPXo01apVIyAggOuvv55Tp05V2Cc9PZ1evXrh5+dHREQEDzzwAG63+1IWRfzElClTaNasWflC9CkpKSxYsKB8u8TVuzz11FNomsbYsWPLX5MYV12PPfYYmqZVeCQmJpZvl9hWbceOHWPgwIFUq1YNX19fmjZtyvr168u3y7VV1VW7du2ffXY1TWP06NGAfHarij+c6H744Yfce++9TJo0iY0bN5KUlET37t3JyMi4GOcnLpDCwkKSkpJ49dVXf3H7M888w8svv8zUqVNZs2YN/v7+dO/enZKSkvJ9BgwYwI4dO1i0aBFffvklK1as4I477rhURRDnsXz5ckaPHs3q1atZtGgRLpeLbt26UVhYWL7PuHHjmDdvHh9//DHLly/n+PHjXHfddeXbDcOgV69eOJ1Ovv/+e2bOnMmMGTOYOHHi5SiSKFOjRg2eeuopNmzYwPr16+ncuTN9+/Zlx44dgMTVm6xbt47XX3+dZs2aVXhdYly1NW7cmBMnTpQ/Vq1aVb5NYlt1nTlzhtTUVGw2GwsWLGDnzp0899xzhIaGlu8j11ZV17p16yp8bhctWgRA//79AfnsVhnqD2rTpo0aPXp0+c+GYaiYmBg1efLkP/pW4jIB1Ny5c8t/Nk1TRUVFqWeffbb8tZycHOVwONQHH3yglFJq586dClDr1q0r32fBggVK0zR17NixS3bu4vfJyMhQgFq+fLlSyhNPm82mPv744/J9du3apQD1ww8/KKWUmj9/vtJ1XZ08ebJ8nylTpqigoCBVWlp6aQsgzis0NFS9+eabElcvkp+frxISEtSiRYtUx44d1ZgxY5RS8tmt6iZNmqSSkpJ+cZvEtmobP368uuKKK351u1xbeZcxY8ao+Ph4ZZqmfHarkD/Uo+t0OtmwYQNdu3Ytf03Xdbp27coPP/xwoXJvcYkdOnSIkydPVohrcHAwbdu2LY/rDz/8QEhICK1atSrfp2vXrui6zpo1ay75OYvzy83NBSAsLAyADRs24HK5KsQ4MTGRuLi4CjFu2rQpkZGR5ft0796dvLy88t5DcXkZhsHs2bMpLCwkJSVF4upFRo8eTa9evSrEEuSz6w327dtHTEwMdevWZcCAAaSnpwMS26ruiy++oFWrVvTv35+IiAiSk5OZNm1a+Xa5tvIeTqeT9957j+HDh6Npmnx2q5A/lOhmZWVhGEaFoAFERkZy8uTJC3pi4tI5G7vzxfXkyZNERERU2G61WgkLC5PYVzKmaTJ27FhSU1Np0qQJ4Imf3W4nJCSkwr4/jfEv1YGz28Tls23bNgICAnA4HIwcOZK5c+fSqFEjiauXmD17Nhs3bmTy5Mk/2yYxrtratm3LjBkz+Prrr5kyZQqHDh2iQ4cO5OfnS2yruIMHDzJlyhQSEhJYuHAho0aN4p///CczZ84E5NrKm3z22Wfk5OQwdOhQQNrlqsR6uU9ACHFhjR49mu3bt1e4D0xUbQ0aNGDz5s3k5uYyZ84chgwZwvLlyy/3aYkL4MiRI4wZM4ZFixbh4+NzuU9HXGA9e/Ysf96sWTPatm1LrVq1+Oijj/D19b2MZyb+KtM0adWqFU8++SQAycnJbN++nalTpzJkyJDLfHbiQnrrrbfo2bMnMTExl/tUxB/0h3p0w8PDsVgsP5tV7NSpU0RFRV3QExOXztnYnS+uUVFRP5twzO12c/r0aYl9JXL33Xfz5ZdfsnTpUmrUqFH+elRUFE6nk5ycnAr7/zTGv1QHzm4Tl4/dbqdevXq0bNmSyZMnk5SUxEsvvSRx9QIbNmwgIyODFi1aYLVasVqtLF++nJdffhmr1UpkZKTE2IuEhIRQv3599u/fL5/fKi46OppGjRpVeK1hw4blQ9Pl2so7pKWlsXjxYkaMGFH+mnx2q44/lOja7XZatmzJt99+W/6aaZp8++23pKSkXPCTE5dGnTp1iIqKqhDXvLw81qxZUx7XlJQUcnJy2LBhQ/k+S5YswTRN2rZte8nPWVSklOLuu+9m7ty5LFmyhDp16lTY3rJlS2w2W4UY79mzh/T09Aox3rZtW4V/uosWLSIoKOhn/8zF5WWaJqWlpRJXL9ClSxe2bdvG5s2byx+tWrViwIAB5c8lxt6joKCAAwcOEB0dLZ/fKi41NfVny/jt3buXWrVqAXJt5S2mT59OREQEvXr1Kn9NPrtVyB+dvWr27NnK4XCoGTNmqJ07d6o77rhDhYSEVJhVTFQ++fn5atOmTWrTpk0KUM8//7zatGmTSktLU0op9dRTT6mQkBD1+eefq61bt6q+ffuqOnXqqOLi4vL36NGjh0pOTlZr1qxRq1atUgkJCeqWW265XEUS5xg1apQKDg5Wy5YtUydOnCh/FBUVle8zcuRIFRcXp5YsWaLWr1+vUlJSVEpKSvl2t9utmjRporp166Y2b96svv76a1W9enU1YcKEy1EkUeahhx5Sy5cvV4cOHVJbt25VDz30kNI0TX3zzTdKKYmrNzp31mWlJMZV2X333aeWLVumDh06pL777jvVtWtXFR4erjIyMpRSEtuqbO3atcpqtaonnnhC7du3T73//vvKz89Pvffee+X7yLVV1WYYhoqLi1Pjx4//2Tb57FYNfzjRVUqpV155RcXFxSm73a7atGmjVq9efaHPS1xgS5cuVcDPHkOGDFFKeabBf/TRR1VkZKRyOByqS5cuas+ePRXeIzs7W91yyy0qICBABQUFqWHDhqn8/PzLUBrxU78UW0BNnz69fJ/i4mJ11113qdDQUOXn56euvfZadeLEiQrvc/jwYdWzZ0/l6+urwsPD1X333adcLtclLo041/Dhw1WtWrWU3W5X1atXV126dClPcpWSuHqjnya6EuOq66abblLR0dHKbrer2NhYddNNN6n9+/eXb5fYVm3z5s1TTZo0UQ6HQyUmJqo33nijwna5tqraFi5cqICfxUwp+exWFZpSSl2WrmQhhBBCCCGEEOIi+EP36AohhBBCCCGEEJWdJLpCCCGEEEIIIbyKJLpCCCGEEEIIIbyKJLpCCCGEEEIIIbyKJLpCCCGEEEIIIbyKJLpCCCGEEEIIIbyKJLpCCCGEEEIIIbyKJLpCCCGEEEIIIbyKJLpCCCFEmaFDh9KvX7/LdvxBgwbx5JNPXrT337lzJzVq1KCwsPCiHUMIIYSoDDSllLrcJyGEEEJcbJqmnXf7pEmTGDduHEopQkJCLs1JnWPLli107tyZtLQ0AgICLtpxbrjhBpKSknj00Ucv2jGEEEKIy00SXSGEEH8LJ0+eLH/+4YcfMnHiRPbs2VP+WkBAwEVNMH/LiBEjsFqtTJ069aIe56uvvuL2228nPT0dq9V6UY8lhBBCXC4ydFkIIcTfQlRUVPkjODgYTdMqvBYQEPCzocudOnXinnvuYezYsYSGhhIZGcm0adMoLCxk2LBhBAYGUq9ePRYsWFDhWNu3b6dnz54EBAQQGRnJoEGDyMrK+tVzMwyDOXPm0KdPnwqv165dm8cff5zBgwcTEBBArVq1+OKLL8jMzKRv374EBATQrFkz1q9fX/47aWlp9OnTh9DQUPz9/WncuDHz588v33711Vdz+vRpli9f/hf/okIIIUTlJYmuEEIIcR4zZ84kPDyctWvXcs899zBq1Cj69+9P+/bt2bhxI926dWPQoEEUFRUBkJOTQ+fOnUlOTmb9+vV8/fXXnDp1ihtvvPFXj7F161Zyc3Np1arVz7a98MILpKamsmnTJnr16sWgQYMYPHgwAwcOZOPGjcTHxzN48GDODtAaPXo0paWlrFixgm3btvH0009X6Km22+00b96clStXXuC/lBBCCFF5SKIrhBBCnEdSUhKPPPIICQkJTJgwAR8fH8LDw7n99ttJSEhg4sSJZGdns3XrVgD+97//kZyczJNPPkliYiLJycm8/fbbLF26lL179/7iMdLS0rBYLERERPxs2zXXXMOdd95Zfqy8vDxat25N//79qV+/PuPHj2fXrl2cOnUKgPT0dFJTU2natCl169ald+/eXHnllRXeMyYmhrS0tAv8lxJCCCEqD0l0hRBCiPNo1qxZ+XOLxUK1atVo2rRp+WuRkZEAZGRkAJ5JpZYuXVp+z29AQACJiYkAHDhw4BePUVxcjMPh+MUJs849/tljne/4//znP3n88cdJTU1l0qRJ5Qn4uXx9fct7oIUQQghvJImuEEIIcR42m63Cz5qmVXjtbHJqmiYABQUF9OnTh82bN1d47Nu372c9q2eFh4dTVFSE0+k87/HPHut8xx8xYgQHDx5k0KBBbNu2jVatWvHKK69UeM/Tp09TvXr13/cHEEIIIaogSXSFEEKIC6hFixbs2LGD2rVrU69evQoPf3//X/yd5s2bA551bi+EmjVrMnLkSD799FPuu+8+pk2bVmH79u3bSU5OviDHEkIIISojSXSFEEKIC2j06NGcPn2aW265hXXr1nHgwAEWLlzIsGHDMAzjF3+nevXqtGjRglWrVv3l448dO5aFCxdy6NAhNm7cyNKlS2nYsGH59sOHD3Ps2DG6du36l48lhBBCVFaS6AohhBAXUExMDN999x2GYdCtWzeaNm3K2LFjCQkJQdd//d/uiBEjeP/99//y8Q3DYPTo0TRs2JAePXpQv359XnvttfLtH3zwAd26daNWrVp/+VhCCCFEZaWps+sRCCGEEOKyKS4upkGDBnz44YekpKRclGM4nU4SEhKYNWsWqampF+UYQgghRGUgPbpCCCFEJeDr68s777xDVlbWRTtGeno6Dz/8sCS5QgghvJ706AohhBBCCCGE8CrSoyuEEEIIIYQQwqtIoiuEEEIIIYQQwqtIoiuEEEIIIYQQwqtIoiuEEEIIIYQQwqtIoiuEEEIIIYQQwqtIoiuEEEIIIYQQwqtIoiuEEEIIIYQQwqtIoiuEEEIIIYQQwqtIoiuEEEIIIYQQwqv8PzRekZ8DGI8aAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = hmp.models.EventModel(event_properties, n_events=n_events)\n", "# Recover generating parameters\n", "sim_source_times, true_time_pars, true_channel_pars, _ = \\\n", " simulations.simulated_times_and_parameters(event_a, model, trial_data_a)\n", "# Fixing true parameter in model\n", "model.time_pars = np.array([true_time_pars])\n", "model.channel_pars = np.array([true_channel_pars])\n", "# Ground truth\n", "true_loglikelihood, true_estimates = model.transform(trial_data_a)\n", "hmp.visu.plot_topo_timecourse(epoch_data, true_estimates, positions, as_time=True, colorbar=False)\n", "plt.vlines(avg_times, 0, 1, 'k')" ] }, { "cell_type": "markdown", "id": "bb7b6602-3e9d-4527-ac8e-9be667205801", "metadata": {}, "source": [ "As can be seen the true model estimates the events at the correct time but the topographies are mainly dominated by noise because we only have two trials and the sources have a very low amplitude, thus the SNR is close to zero. Fitting the model on B however gives us the a perfect representation as it is noiseless. Based on this we can see that the last event of the noiseless B estimation is the cleaner version of the last event in A. With a bit of abstraction we can also see that the two first events between A and B are indeed reversed as we requested in the simulation." ] }, { "cell_type": "code", "execution_count": 5, "id": "4ff64a3f-5540-4c0c-a77c-8c985a58fd0b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimating 3 events model with 1 starting point(s)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = hmp.models.EventModel(event_properties, n_events=n_events)\n", "\n", "# Fit and transform on noiseless B\n", "lkh_b, estimates_b = model.fit_transform(trial_data_b)\n", "hmp.visu.plot_topo_timecourse(epoch_data, estimates_b, positions, as_time=True, colorbar=False)\n", "plt.vlines(avg_times, 0, 1, 'k')" ] }, { "cell_type": "markdown", "id": "7da0e9d1-97bf-4e68-827e-b84b4cd85cf9", "metadata": {}, "source": [ "If we first try to fit the model on A the estimates will be dominated by noise. This is because the model is not able to estimate the parameters correctly from the noisy data alone." ] }, { "cell_type": "code", "execution_count": 6, "id": "33e75672-1e3c-4869-8c59-cb026ee8be1b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimating 3 events model with 1 starting point(s)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = hmp.models.EventModel(event_properties, n_events=n_events)\n", "\n", "# Fit and transform on noisy A\n", "lkh_a, estimates_a = model.fit_transform(trial_data_a)\n", "hmp.visu.plot_topo_timecourse(epoch_data, estimates_a, positions, as_time=True, colorbar=False)\n", "plt.vlines(avg_times, 0, 1, 'k')" ] }, { "cell_type": "markdown", "id": "3a1e385d-576f-4fff-a101-9a0b57514bd2", "metadata": {}, "source": [ "## Fit / transform" ] }, { "cell_type": "markdown", "id": "13fe21fa-9db8-4e20-8518-33dc14fa3e4d", "metadata": {}, "source": [ "A first way to split conditions and use the information from one condition to estimate the other is to use the `fit/transform` architecture. In this example we can then fit the model to the data of B (noiseless) and transform the data of A using the parameters estimated on B:" ] }, { "cell_type": "code", "execution_count": 7, "id": "fd6403ca-caba-4a4f-9c51-4d74e8b4d080", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimating 3 events model with 1 starting point(s)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = hmp.models.EventModel(event_properties, n_events=n_events)\n", "\n", "# Fit on noiseless B\n", "model.fit(trial_data_b)\n", "# Transform on noisy A\n", "lkh_a_transform, estimates_a_transform = model.transform(trial_data_a)\n", "hmp.visu.plot_topo_timecourse(epoch_data, estimates_a_transform, positions, as_time=True, colorbar=False)\n", "plt.vlines(avg_times, 0, 1, 'k')" ] }, { "cell_type": "markdown", "id": "476b3d26-ff13-48b1-bb84-e3f10041d290", "metadata": {}, "source": [ "In this case this turns out pretty bad because we estimate the two first events based on B while they are reversed in A. Thus the estimation of the `channel_pars` parameters does not help to correclty estimate the model in A, to the contrary doing so will actually make the estimates worse than if we had not used the parameters from B at all." ] }, { "cell_type": "markdown", "id": "007a069d-0351-42f8-9c25-2b5ad4a30126", "metadata": {}, "source": [ "## Grouping models" ] }, { "cell_type": "markdown", "id": "a803ca04-7186-4d9f-a720-04d212e310ad", "metadata": {}, "source": [ "HMP implements grouping models, models that share time and channel parameters across groups (e.g. condition or participant) based on a map. This map is a 2D array where each row corresponds to a level and each column corresponds to an expected event (Note we need to know how many events are present to write the map, thus this only works on the`EventModel` class). \n", "\n", "The values in the map indicate which sources are shared across participants. As a wrong example we could estimate a grouping where all the parameters for each event are shared across the two groups A and B." ] }, { "cell_type": "code", "execution_count": 8, "id": "608dd940-d056-49ca-940a-85fdadb87080", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "group \"participant\" analyzed, with groups: ['a', 'b']\n", "\n", "Coded as follows: \n", "0: ['a']\n", "1: ['b']\n", "\n", "Channel map:\n", "0: [0 0 0]\n", "1: [0 0 0]\n", "\n", "Time map:\n", "0: [0 0 0 0]\n", "1: [0 0 0 0]\n", "Estimating 3 events model with 1 starting point(s)\n" ] } ], "source": [ "# testing grouping model with all parameters shared across participants\n", "channel_map = np.array([[0, 0, 0], # All events share the same channel parameters\n", " [0, 0, 0]])\n", "time_map = np.array([[0, 0, 0, 0], # All events share the same time parameters\n", " [0, 0, 0, 0]])\n", "grouping_dict = {'participant': ['a', 'b']} # Define participant groups\n", "\n", "# Fit the multilevel model with shared parameters and get estimates\n", "lkh_comb, estimates_comb = model.fit_transform(\n", " trial_data,\n", " time_map=time_map,\n", " channel_map=channel_map,\n", " grouping_dict=grouping_dict\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "id": "69e772bd-4ca4-4bce-bae1-c8be029bf178", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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RalYscKm4IFC0KgTu5CoqaCq7jyXz+Yp9fDW1L0GRUeiqjXc/XMa3i1/Cb3g4fuI8Pfs2JcttMuXNxaxbvY+I+FgWtG/BfY6KxFgdVxCr1BlCXP0d3YgigR/YK7DjwA7c1rOs33KExneOwWG3MqDvnbz04oNomnppOIhCiWL5eO7xWRzZdxqramJRQFVMylYvRWRsJKpyqclVTWw2A0eQnxCHnyM//ELK0ZNsXb2TrAw30UGQdv48+H1ERYYy591eTB3flU+/3EiH3h+wYdtuRr7xMoZ5BXuoKWog1uiScC1zMcXfU9XAOf4XeTX5s8m88NKHPPvkZ4waPodHBrdh+cpXeHJYJ35ctYP7H3qX9l3H0//RuylbOT85fj9nz2VRqFwxfAbol16DAOyhwYQVyAcKKIpKaKFi1H96KFu//olEJ1zMgcQchYs58P1nq/AH5afBS1MIiSvO3sXjcZ4/xpzPT/DDyvNXFq/klRBCCJG7/mWtYZpu0LeRcPEijTu8xbbdp1jxzQheGd2TZd9t5bnne2G1WgiyKuBzg8/DhzPW0KttZfBfmpurXxpFqKiXml6FLfvPcV+bygQF2UG18POvh2nRojo2h4pXd7Nm9V66DWxNtyEdGDv3WZLOpXL64GkOnkjg44T9JHvd/xyr1BlCXOtSbv/Mr2ZzLHkXjz/1AW06vES1ysX55bsxDBt0JxMmzEP3gk0Lwq4FE2yN4ONpg3j75QVY0LGqJlbVpHSlovg9HiwK2FQTu80g2OEjNtTP1rc/JjbczpYFP1G8SAyd723IXR3G0fWRGXy7aEvgVp3FSv/ezfnuy+H8suEQ7bqMY+jT9+IPS/j3w5jFLcH0HeTRnhU4fvgMU6d8T82apenRtSUWq4Zm05nx2ZN8NG0wS354kaZ3lMOtu9h/+Bxrf9yDz1Au/6urClhUCI0MpXKH5vw0ZgKL+g0hJz0LNTiSav0HsGPZRnZvOkyyGzb+sI0ze06ixlbE5w7HbgmhWPHGbNo+naOnfuLzL06ybn3iTT03QgghhLg2Jl5gN+cTk2jR5R2yXR7WLxnBHY3Lge5l0jsDWPH9Zj6d+hRRDgPcmXw4ZTmVSsZSPDoI3B7w+n5rdg2D//x6/a6GpZg6bxPJSelg+Nm55yR165VHN/0cPXaO1z7qi1+x4dEVUlKzadq9FSjw6aOvceL0ed47c5B0X94cairE9XT1jW7aKTD/vkk08JPpOECxUtHMnv0jtWqWYelXI4gIMikcY+Ox/q0Y9Mi7KLqV556eS7d7J7Bx5WG++Hok508kYtd0bKoJPi8/fLoMqwoOzSR58zbWjn6TmhEuHh/Rjj6DWvPyWz3ZteUYkaF27m1Vge/e7My0eZtIOJ0cGLJhtVO/QSUqVCiC2+3lyac+wq2k4LGf+/s4TSMQa/LRSxcpcUMYRuAcX0Femd4zmJm7GP/WtyxYspkPx/fku8+f5M3Xv2DrxqP4DS8e3Ynm8OExXHiNHLy6j5Xf76XBnTUxCCS+VQ2stGzXINQKpeIcPPPJcAbNfBHVFoonx4LXo5Kvel22zlvO5kW/QEgkFfs8iivLBuk+ChepR6MaAyhX/A427vyU0xe28+mcY5xNcP59vJJXQgghRO76F7UG5kGyslK4p9ckctw+1nz9FOVKxoLuBb+XRrWLM+65zsQGG4we/Sl3dxnP+TMXGf1AHXC6wOUONLtuL/h84NcDb14fhSPsvP54c/oM/RxPZiZhwVYyMwJ1w+gRX+DTFTyGgkdXWfP1Ohr3asNDk58HRWHB8AmcSU5j6pnj/O16slJnCHENje7h5WD8/dDfbNtxMp0ZPND1bew2Kwu/fgGvM5vpM1eScPw07ZqWot1d1bnzjpFUr1yS8aPvZ93KrQx64H1WLdnLjHdXYNd0ihaNwvB62fPdL7iOHOXY0pVEW3VOrVxH/crRfDBiKimnLxJkd3Bw/2ka1SiCBYPnHqjNx7PXgWFganYGD5/JG+MHMHvuMyz8dgMTXv8Kl+UsPjXrr4Mw9ECse74Cw3/Vp0v8A8MfOMf/kFem4cHM2ML3K/fx/NvLGdq7Pi0qxhDpz+DTCV15efRnuN0+fKYHj+7Gq7vQDR+GCff3bUH1hhXRlEBzG2yBECtEqj4yfv6ZGmFZ2M6f5PS2/aQcO4vLacHltKIrodR7ejiRFaoRWrwiXl8QnhyN7MPbKRJfA9WEOlV7Uzi+Juu2TSYl7TxTZxxD1//mBUjySgghhMhdV1prmOcx/Yn0f+pTjp5I5LtZAylZKBz8XvB5wJsDXheGM42Bj39MrRKRvN+3LnVig9mwZj+nDl/Al+HEdLoDWwy5PYEVmN2eQAOcnUPtwhE82LoC495eSuuGJVm8cD3qpbJcUVV0Q8FvKDTq3BRLSDAh+WLo9M4IXCkZrB73EQezMlid8jcjyKTOEOIaGt2QuL/9a5+Wjt+WygvPfMHZMyl07tKYMIdCr/4foue4efDJuZw+fIL721Tk5xWv0P3e2jz5zDSirCZJZy/y45LNnDuWQsL+BEKtBsNe742ZlsydVcN48YWOLFnyAoMfbcOU8Ytp3KQ0eo6PSpWLkz8ugt2HE8FmIyYqhIupTkDhwxmrqVSlJE1aVObu9jV4elRHXh/7Nb9u2k+6bf/fD2EOiYOw+MDcCnFjKErgHP9DXpmeXSQmp9DnhUUUjA3l/Lk0Ppm9jrYPTmHbul080rMhs6auRUHFb5h4DQMDHU2F04fOMv3VL7CrBqFWk0ibiXHqGPOemkARm4/S4TBrwldcOJaA7ldxOa1kpdvIzLDjctmxhOXD61Xx+1RMH1zY/QOaqaAQmNfbqOYAghxR/LLtI46fyGDxj/8wX1fySgghhMg9V1BrmKYb/AeY/tlPfLVkBx+P68zFi6l8NOMnPpy+hr17ToInm+zkJPoP+YQWNQpy6vA5Xpy8jrP7LrD6x8O8/slGOr20gv7v/MTBg4mY2TmY2S7MLBdmljPwlpHF/bUKcuToBbKTU/Dm5HD+bDpPDm+Hho6iQGJCMo7w0MsLZ0YWLcAdYwZzZuNODixcwcKkMyT93XxdqTPEP1AVhaqFI6haOAI1D+bJ1e+j+zebbZvo5IQd4cdVm+h4zzju7diAgQPbY2Sls2/bXp7uXJV1W0+wctc5Xh7TFUKi2LztGEuXrOfl7tU5tPsUT03biN9qZ+w7/QkuZGftL8dZOPsnvvh6KGH2SFQ0fIYbj+HEZ3jxuU0e6DyJ9995hCkfLOTUiXN4vX4+fr0bv+xJYuW6w3w65xl8phuf4cbtzaHdHa+SmZHDil9fIFotRaT/bzbVlg23c8ff5lUK+LbTfcBkVm84StVScfw4/l5wusjx+Lhn3EqWfv44XYd/w9yFw/DoLkwMNEVDVTR8hs5HH/zI4SNJDHjxAfZvPUyFEhFUK12AIGswSRnpPNxvKlqxUuhl7sbpLojiM8EB4VFeIiI9oEB2lpWMJDtnPptI5ZL3EKtEol66e5uSfoLvf36ZchXaE12uDp++0o6y8X+z/6PklRBC/IHsoytuqL+pNQzPZqbP+ZbBLywgPi6UelWLUK9qISqUiMU04YcNxzh2Ng1NU3js/loUdCi8OmUdz1YvxujvD+LyGtxfqiC9auTnqOnl/a0nSXJ5qVs6jnwRDo5fzOLoxSzKF4jg6Y6VybJZeerTzTzzVHuWrDvJ4Gfu4dPZP3LPQ63YcySDWe8v5e5n+5Hlgxw/eAxYO3E2B5f+RPc546lbuiSPF66A8ldNitQZ4jZ2Q9Yb92gpgMLI4TNp1LgiGRkuWjevwnMjJtOrVUnweDl1LoMC8RGB5c9Ng8qVSzLqpXl4HqhL2WLR+Pw61iCNlSt3ULxSPmrXL4limuQYBg7DjaponL+YyKmEi5SrVBCLXWXStL48+9QsmjaqzLiXHyAlKZ1nXvqCeg0q8cnMJ/GbHnTTi256UTSDV97qRvvm4xncdzoTp/Qj1FIYC1ewZLvIdX7dT5Z+ht07zjF/2W4+HX8/P6zZz+5TqVSJdeBQFEoWCCfL5cevG9jVYCyKFRMDxdTISHMTHhnKsCfbkZSZxa69x3jjiak8MboL5Urlw2J40NHpOqQDB8x8HL0YRU6iiemH/9zst1gNNIuJ7ldxB+sUbd0fe7Ifn9tA0wMb8oYULEu+IjU5eGAxFWvWZtrhDCb8XaMrhBBCiFuCaSQxZNSHbNhynMgwB7s+709k+KW60DABk3vqFw/cIdUNzKxs7ntuMePuKMfgmVt5rVwNwvUgnj28jeqx4VQuGsRHLSvgtijsSXWS7PFRr2ohSseE8PORZIbN2MSMYc0pnT8MvzOLHdsPEx7ck00/H6JZm+qUKBZHxsVUTH7bXtOiQMOBXTmxdgubPp5HgdefYL8rjUoh0TfxzAlxa7ruja5u6PQZ/ByVq5bk0MGz1OjenM6dm6CZOhcupFI4XzV8bhczVxxgyexHQFHw+Q2+W32QXr3vpO/Y5RSJsmIPCabHgy2o3rwkLz73JeNbVKJxq8oM6jOZN97pheHxMeSRaZSrUoT+Q+5kz7bj1KxTgk++eIQVi3bTd8gUoiJDGTu+D8VKxaLjA9NEN/0YpkFaupMiJeNp1roSv6zaz7Ytx4hvXIYovdT1PiXiOshwJ3Jfn3G4snOoVa04vbs34u6GJek59AuWvXgXhgmnk53kL5yfB7o35d62LxMZEYLP58ft9hKfL5KzCSkMfqIDrdpWJqK+gzU7xuHBSobXAHLYu+8Mmdkqa6bPodCdnYjOVwaPJ7DPXlCwn4xj+znwzWIq9+pGSFg5vGE2ti39iHp1B3L64n5Skg4RUawq8Q27kLLoEBlnNnLCKMfJVDvFo2Nu7gkUQgghxN86f2435y9msOvQBSY93ZpIC5DjCWzPYxr/2eMy0HW6vbwxYwMNi0Rx8HgqLePzEe4LxpNj8kDhkryw+RDv2StQxGfHHqxQNzIE7BqKRQWfSauSsXy04TimbjCkQ2Vemr+ZHh1rM2/OGka/1IMd245Qr20sT3/4OKc94DUCO0VoCoSEOmj86P2sGDeVtCMn2BUeLo2uEH/i6hvd/Quh3D2gWf/rw6qayusv96BGg+Hki4ukWdOq3NehHriz8Lg92K0qk7/aS6+ONQkKCQLVwvAx84mLj+GX9Xtpf09tzh0/S1QBhXY96uHUXYx4qRMWxSTEptBnSBt6d36XWd88wQfznkC12VAVE5fHZNwL31KlRjHa3luDpq0rEhUeuJPm0Z1oigVFCezZa5oGX3++kfyFonllYi9aVH2efTvP0Lz5OSL1Eii/n7qs++DQMgjNB9V6/CFecZ3oPtg1D7IT/zSvguJy6PNwK/r0fpu5nw5DDYkkXxGdIb0bMGTqr0SH2ujbrR4KBr3vrUbvjjXJcfvQVAWbZoDuw+3XGPXGYlav2sXYN3oRE6Lh8nvI9kGGF1b9sI8C1SrS7smuLH7nSyp3bU/atr1c2H8Eq8NGmzEDKVm2D+tnLqX8A8VwRYdi2m0kJO7hYtJ+Iqo0RitZnqBwheKeDhxbPI8T8TqnajxDcWL+GK/klRBCCJF7/qbWcLkzOZ+SwLHTqRTKF8bDd1UILCClKKBpgPlbo6vrrPn1KMdOp/Fhm0q8uGgvLaMLoGcFeuCakVGMCq3AoJ/2MaxqSZqXiMTi86E5DHBogY7VpqKbJoqqUiQunKQ0Jz3bV6ftwzPo0/9ODHxkXkzhq3dXUbNPF/xaMJiB3SIUoPrdjdgyaxGb5iylYsUinEy+SPHY/P8dq9QZ4h/keHVavbMWgJXDmhFk027yEV1fV9/oZl38iw/v4Pjhk2RkOFnzw2s0a1IZvC7wutD9fi6muVix5RSLpvUFzcqilQewBdkZ8fz9PJzZgjHPzcXwwssTH+T+Lm+j6wYPPdqSuILRuDJd1KxRmC9+HAWKgm6CboJhKDRvX5uW7WujKiaHdp9i6IAZPDeuCzVrFUdTFcBExRLYwUxRsFg1MjJcnDxykejYUL6c9QuPDW2FW0skSI//Y6x64I6wuEFMEzISwJX6h7/yKzl41GS++24TRYrE8eWCX+l2X0NUQ6dD+1pcTMkmLTOH7h1rYuZkgtME07g8CN3062AY2B1BTBzTgUVrjtK729vMnDucMIeGprjI8MLJ44m0HdCebMNGhfcfxWeAv14BfN6WYLFgKuAPj6LgqN6s/mo1IRVaU7RjfzyHj1Gsaj/0eI2wGB8hwW48+UyOKwrFCkdw8Ohm6lXOh8P+P8PiJa+EEEKI3PM3tcbMBfNoWDeevYcuMPbxFtg0Bdz+wNa3FgM0NdDk+v34s3N4de42vuxdBzPLz6EkJ/0LhOLJAVULzJUt7ghnaq06PL17B7pp0rJ4FJg6GiaK3cK2cxnUKB4NNo0sn05oiB2rTaNOjZJs23SUbI+P73/8lQpVinB0zSYK3tmCLF+g0XVooFk1GnVrzZK357KrSRWaPFiI4v8blNQZ4h+YmCSk51x+nNdcfaNb9s7A/Nrfcaad46nnp4LdTqni+WhatwT4cgJLsfs9ZGTlsPyXI/TuXBOL3U5aDkz6ZCXfLn0ZpzeTjVsOcOpMMtlZOSR53Lzz2RNoigmGn2EDZhAbG8qoVzoz5IEpRMeG0f/JuyhWpgCGqVz+GVYUqFStGO/OHMiyrzZSs3YJVEVFUTQURUUxTUw0ej3UmGPHE1k4fwtj3+7Jow9MZvf2k9SrEfPfja6qBWKNLBbYj1fcGKoFKneB9FN/yKscyzkysrNZumgLI0bdR0x0FJOmruTJR+5AMXUeebgFpt8f2KfOlUNqchZf/bCf80lZFMoXRptGpSgSHxG40Gsq995RjtCwEF4ZPY833umDYeoY1hxe//Ahvl+8DWtwEJUbVMJUVUxTwTA1/CZ4dRO3Dlk+hVCbyYVNy4io1QU1pBpeA0LC/aRu+haPxUe3wW3h1BG2LfqZ2iWCya58EQfFfhev5JUQQgiRq/6i1vDrOueyz9P/8UWYmJQtEx+4i6sEbpQEikwl8Kdf55ddZ2leLh9hqobh8+DVDSwaqKEmhq6gqIGi1KFpjK9RlUGbt9G8SG0Mv4nqN1EcsPVcOtWLR6NoKlk5/kt1rELv7k0Y+/ZiZswaxpsTvmHcwNbM+nw7sY7A8GWfAaFWCNLAlZyGqirgcZNkJKKbRdCUS3FJnSHENTS6USX+8KFgfxI+r59lPx3mkd6NUfyewA+a7mXVz/uoXbkQ3/98mK8+6AUWK5/MXM+w4ffh8mTTr887vD1zEC98VBpTs2BoKi6fQdq5JPC4adu+Jl3uq49FtTJn3tMkXcjA5XWx7Iv1bN5wlKq1itP1oaasW72fg3vPEBERzOAn2uDQHFhUG+qlUP2mB9MwcdjtlC9fgGdGt8fQDaJiQvhh2R5q1S4bWMDoP8OXFTUQq6xad2OpKsSVDZzv/+HTMvh5xX5cLg8du9SnTOmiPNBtAlUqFaVlg5IAKB4npm6AqjL/xwM8Nn4FFUvEsP9ECs1rFWXVtIcCL1qqCopKieLxJCamAyYKClZVJdIOzZqV5rNpa1n5zQZeeK8f40d+RqHi+Wh0V01iixVA9WnoJtTv0JjPXplF0VZurFYrhqngPbcb58lj9HtzAMm79pJy8hynjp7nzpaVCYkAfr8DgOSVEEIIkbv+otZI9mTS6N66zJnyA5UrFWPmol10blAM/H7w64Gv09TAkGMT4qKC2ZOQjt+ioDks9K5UiCFbd/Jg8WLEWoPw+wwS3C7WJSVz3OlkYNWi2EJBtSgYPpONZ9L48Wgy3/aqzbEsP4PfX8uEMZ0hKIwKlYvSvEkVBvSdyLx5ozhw4jhdu9Zi+vRlVOp2D9k+MHWDXcvX0/3pbqScOMOOVdvoNbAVWaaTSCU8EJTUGUJc38WoTG8yFotGWkYObZqWv/RBA2dmJq+9t5xv3u3OhKlr2XPgPHXqhXHo6Hl6D7iXpUvW07ptdXJ0DZ+m4TcUks4n8tHoz6hSpTCDh7Rl97pTDH5oGtlZOYQEWUlMzODNtx6mX9/WtGhVkb27zxBkNclMzaBylYI0a16Fr2ZtZsWyHWAYaJrGpzOfxh5uxY8XBQVV0VAwwKLSvGUlfl59gOdfUvGrTqxG2PU8NeIqmRgoFp11aw5SslQ85coUQ1FUPpn5JE89PoXlP27nhWHtCbdz6W69yaO9GzKwex0yMt2EBNmwhgahhEYGGl2bg+MX3PR/fDIfTX0cv+EFwKY6sGsKJQpYGflcOzyGiVc3eOrZdhw5dIGc9ExsJeLxqCYWBYJsKveM6sf6eUtwpmVj+nzc8WgXirZ6iHhrDucvJPDN0hHUKjeUV579inyxq/hk/Hs392QKIYQQ4g+2HD7Ej1u2ceFCGnFxkRQrHs+2E6nUKhQG+AJNrtVCssuH22tSqXpxul7IpsOMX3mgdlE61i1ElSIRLNxznvWZSVhVhULhQTzWpDgFou3YgizYgqxkXXBBlsLsHWeZ9GhD3lp5lM1Hkpnybj8S0v28OeUn+j/clkcebEqhWAeP9nufrr2asm7zrxhu2LdwFdU6teSXOd8TFmwj1K5Qt0VVZrw6D8XrIceWRSThN/t0CnHL+OPtsyuVeS6wAt3vzP1+LVsOXMBiUalbtxxYbKDZmPrZegb3qk+EQ+OO2sX4aeNRMAzyxYSSeCGV0mUK0KBZBQwTdDMwt8GbmcW4N7sTHxvN04NmUqlkPK+N6Ej5opE4U9JoVbMQo0dO58yBVEoUKUSbu2tgVS1079WYurXLM/CBqdgMjW+nD2LprEe5p2VFflq9AwiMQTcwwAzczdMUC/UblWPPzlMcOXgBr5n1W1CmEYg17RQY/x2vuI4MI3CO/yevdDWH86ezWL1yDxZNo3OHcYwYNg2bzcJH0wfRpGUlOvZ6m+1H0sEegmJ3gN2GEhREZIFosu0hDH5rLW36T6dNn6k88MRsHhs+nakznqRI8WhAwaYFEWyJINgSSYglglBrCGFWC+E2KFEknGYtynH8YALnz6SgEFjx0K5CpN2kSceG1G1djY6PtKFCpI/v35jOha17ebB7M+ZO/YWQEAeZaRmMfqIFpqn/Fq/klRBCCJG7/qLW2Hv8GM4sN15PYE/B50d15bn3V+PSbBDsAJuVFdvP0mvMUsbO2cJdIxezN83Huy+0wx8bRo/Fu5l87AK2/EF4wjQO6V5WpWfw4q7jDN90jI5fbyfLqlB1+i/MPpiABZix+gihcVEMH96FIS8vZNHKPWzedpijR8+Cx8k9TYrTqU0VTh9LZP+u0wwZ1YHwYI0gdzYOdNo/0JJQq0mt+mXw+3R2/LyLzJyk32KVOkOIa2h0DywB47fC/buVP9Hn+S84dDKZEsXiCIqKAXsI2IPJcPopmD8CDIP6lQqwaddZTMMgJiqE1LRMIiPDcGbnoCrg0AzWfrUGBz7W/XgA/BpLPh9KlNXP4KFT6NqwCEvHteX4sQs8378hQ5+YTLAagVV1YFFsJCXkMPDBKbw88n4ST57m/l4T2LVxF4XzBXPhfMqlow2svGxioCgqFtVOtWql8fsNGtUcRYPmfXG7PZc+VQ/EuvNzMPzXcKrF3zL8gXP8P3nV65ERVCo3kGNHz3P/vXVZ+vmT1KhUmAmvfoVpGjS+ozQzv3ySZ8Z8xuHzHnCEoQSFooSGs/FYNl2GzKXxPVV55LkOvP/FIEa91pH5i0ZQuEgMmmLFnWUyZdKP3Hfvq3Rq9zIbfzmKwxKGXQvGqlpQlcA2umuX7yQyLhLDDIxcCrZArANKxYfQuF4JahQP5ddZC+nbpwnF8+ejX4/3uKtBKTq0rsSvm45QrPozvDHx3d/FK3klhBBC5Ko/qTVOnz3H6yPfZsbr8wGoXrskyZk+RjxxDw+MXsR5t8HyHQm8P38bi2cNYuoHg/jhu7G0vLshH3x3mMU7zvPyiLY81q8RtRuXYuSgJrw1qg0P9ahHty51mDSuM01qFmHHhUx+6FmPbtXiOZPj4XiSE12xMPPrTXw47VGeH9eZ/AUiiY4IAd0L3hy6t63EL7/sYfbnQwmzK3To0YQC+ULp/lh7Qu0KwRaDSpXiUVWFEf0+onaVBzl6/NSlWKXOEOLqG92gqP9696UJk6hWqSiaqpKZ7WHM+EXc3XEsv247wf33N+fjeVvAYiE42IbbG/iB8+smmmYh8UIai+dvwqHpLJy8hKM7DlOycBzLl+xgxJPtUPwedu0/S2a2l2WbTvHqlzs5diGTYqUK4czx4nS60RQLulfliYHT+GjiQF5+eQ5VioTw3uPNeH/6LzisKh63D4X/LFxloqBiVR3Y1GAiQiMAqFqtJHv3nWDet0v+O9aQ2EuLEogbQlEC5/h3ebX3wGHmf/MDtWoG5pdohgclO5kH21dix7bDpCQ60Q0/jlCTD6Y9wsChn7D3VDYERzFzyQHemrqKse8/wAsj5vLCE7NISnERHRvGlk1HGffiPHp1HU//PhMpUSSWb78YyVdzR/Dyi7MwfKCioqBgmJDj1ilZoTCaNbA0f6DRNYmymeQPMkjatZd1n3/HuLH3EaI5+GjiYhZNeQjPxXOs/vkAHq+f2HAHL701DY/H81vMkldCCCFE7vmTWuOdj2egqBCdLwJVVbizbXUWLdtMqzvr8fywDjz73mp+3n2O+VP7Y4+MYvqXW2jX/W0+nvML/Qbey/Rpw/jsxyMMm7KBd5cdZPDkDXy4/DBOWwhmeCR9x60gU7Ex6ddTjN55kt4/76NoiRjS0Vi69iCPD7+bTF826c6MwM5Fl+++KmiahmGYfPn5Ok4ePo/l0vQpTTWxaybBFoMQm4miKFgtGoZh8Makyb/FK3WG+AcKCmXyhVImXygKeS9Prn6ObtWu//VuTk4O+QtGYT1xEavVSqMmVRkyrBPd7n+Nr+aNomq1UvR7aQlBFpWmdUuiWKzsO3SOvoOLEBSlsHDRes4eOkPfh5qw/deTPD14Fp9MGoTF6wTTpGOHBlzM1MnIcFIgfyT3dStKv+cWMG58H9QgHyYKb766gCGPdWDa1CU80qUG7avHg1/nQlIW4cFWMjKcgZWXFQUFDQ0r3y/axeezf0LXAxcWTQlcD3L+c0dXswZilcn8N5ZmhboDIPno5Q/luAOrNw0ddBcPDDjK3Q1LYGakg83GyMF38sE7i3j+tS64dQ9hcXamzB7E04/NQlNUChaJZtLMgWw/kEDR4nEMeupuLhxIZOzgmdSoUoxO7erw/BNtA3s5A5h+rHYLVauW5GxCMvFFgjGAHJ/Jmh/303dkV5x+JbDLgGqiKmBVTVbNW8Wx3cd57a0eHN19gSmTljHt1S70GfQJVQqGMahFGUbP38FrnavyyMzN/x2v5JUQQgiRe/6i1ogvHIvp92GzKDRvWZlPJq2Ep++jdv3KzK5VKjAMWLPx3oyfSUjMYv6CZ7mYlMpLz88jf1wU498cTJDixvTmoGoWsNgD0/dUjSq1qzJr7mrc9kxUix9UjdNu8KLhx2DZql3EFYrl15U7qFC6MEeOX6BswRLgMNh1MJHSpQtx6OAZKjUO1AsmoAE2zeDIziMsn7+echULUqRYDBnpObg9Ur+KKxdk0/hxWLObfRg3zHVbjMpus2EqEBMTTpeujWl0R1lMU2fMuG706f8O74zvx92tq5GVlkH92qU4kZBJjscgOi4Mt57Nq+N7s33LSZ4ZPJuWTarw/bxh2ExPYP8vaxDDx0zngT6t2bzzACcuplCnbhlqNixJmjcTj+HmyJ5kzp5JpeXQ8syaspC3HqkDLjdoKqoK+aJDSExKR0VDU6yoioW5M9Zx5MB5vprzNA7NQI3oTpH4CHbsNHHYbdfr1Iir5LDbAchISwfg5NHzjBm/jGa1ivHc0+2Z+Ml5juxLoliFSFx+P7YIK9O/GExOpkl4lJVsn4tqFeN5Y3xvXhs9n+rl45k3oQuRYTb8Ph0j5Qx4QsARAhYrWBzkzxdBwplk4osUwzBNVi3fy9EjiZRvpuA3A78Isakmiu5j3/r9dOlam8KPNcWXAS+OmsxXHzxIn0FTeO6eitQOtTP2210A/LT1LAA2m+SVEEIIcatw2O343G6y0p2UKpMfm8VGpUrF+PGnfbRuXgmPobFh0yEmz1hJmbKFeOm1HngMF2ExGu9N6cuaHw7QqcfrLP1mDFZbcGC1Y9XCjt2nePOdrwkKttOhY32wKezbcxLVaqVp66rkKx1PkcolsIWFYpow+8PlDBvegaEDZuCw3o+KzqsTvuHjaUP4ePpSIgvmI8WjXv6FO14PH776LbO+HEz5gk+yf89ZatYuKfWrEL9z3Rpdq81KgUIRHD2agIEPtz8LMKlaszDPPN+RN99fwLmzgQ26FVajaRrj3+qPz/BgGCYTXllM4vkM5k4ZTGyQDp7UwHLujgi+WraLfAVisYdZSM10YY2NomjDqqSrFpYu2UGzZhV59aX5zJ4+HJ8rHVeOh1SXj+jgIFwuL26fQVxsKBcupKOpFuyE8MvavaxdtZcvP30S1ZNFdnIaAL9sOAiApml/FarIJZoWGFnvvXR3/b05G1n+WnuenbaBjRsOMPnVznQdPJ05X40kNFwlx+8lR/cQFGHBb3hRvApvj13MhdOJ3FE1P9+t3M1DG/Ze2k5XQVEC+9E90acRd7apCUFh9OpSjxEvfcGsRkMBhZTkTAqXyI+mQJBmYlFN1i35laWfr6Xrg00oGBtEiCWIp0fPZvzo+/jyi5+4p0o8tYKsvPvtHj7dEpgrk5zmRVPz3pAQIYQQ4v8zVVXRfX7q1C9FZnoOqqIy5uVePDVkKu9NWojVqlGrTmlefLUHhYpFcvTUKeyhGsu/20Xn++rQ/M5yJCVmMn3Oah7t3wZMSErJ5JlR05kx8xniC0bg1V3Ub1WUR/t+QkpKNhGlC1KoTmVydBWXJ9C4DnqxBxFxQbw56SGWL9mJacLbH/bn26W/8MDQDlzMseDWA7WLVTUJ0hTe/PBBoiJ/2yVE183LtZMQ4loa3YNLocxdgaERQGpaBtUi4rA7NJwuFz7Di6oogEK1GsWpWavspbHfgS1gTNMETHTTx5QPVhAXHcnrz3bh6O79BEVaCA62owSF8vqkFSQkZTPy+a4cPHaMB4Z3YtdJF4lGMMVrlKd40Ug8bh8Oh43YmHBw+nnmsbt4/PUVZLs8+P0Go4a0Jig0hNiYMAYPfJ+kpHQiwoOZ9fFjpCac5flXvuRiYjoWTaV909LM/+EAaekZgTh1HxxZAaH5ocp9l+MV15nugz1fQ/bFy3mVlp4JQGxUYHixaZqEhtiIjwklJcNF/ahgOt9bnx1bjtO0dVlMix/d8AdWN9Yd9O36Hk/2bcqCE6fJPnWBxQPqo/lM0I3AYou6QToG76zYzfT5m5n4YidKlC5G8cLRLPxqE3d3qUaPXg3I9Cq8PPwTNItGtTolad22Gj2718BhUQm22Dh5JA2/10etMpGMGrGbZY815qtlBzmb4mZUpXI8vmk3rWIL8kNCMtlOJ2GhoZJXQgghRG77k1ojPSOTiIggIiKCSTwfqDvsQSqTpz8WWNcFA7/hxavn8Mbr89m54zRDX+zCkUOJrPh+Nx071OGuu2sy5tm5lxpdg5MnLtCoUSUKForGb3jZf+AUq37aybPvP0KqR8PpU0n1BNYBsagQrEChkvH07/kBFSsXovXd1XE4bAx9air39GzKeZeFdI8KikKIxURTYMbEJYwYdTeqotG0eSXi4iJISckmLT3rt1ilzhD/IMer0+GDdQAsfrwxQba8daPv6hvdjIT/ejc5NY3ImBAio0NJSckGQFU0LKoVi2pDUwI/YCYGhmlgomNiYJomP6/dy4L5z4MzjbJNXmHWhPvp3bU+h0+lc+DweT6ZM5y33vyS+JLRZCX7+Gn1AboM6cTxPScpGqOSme4mIiIEUMDqoFXr2rRqWS0wpyKw8hRoFia/25+zFzKJiQwixK6QeuEC3R/+kNeGtKRCfCgRqw7SulpB1m49TVJK2n/H6sv57XuJ6880Ie0kuFIvfygpJfC4VLF8ADSsVYx2o5dRvkQsd7eqDBYbJ08n07hVjcvbRalKYH/k7xfvpEuHuuzZdpAmxSPoUTyWL78/zIJ9F8jx6pef0mFVGXVXeRx1wugz7HPq1yjGw/c34ONvdvL9ss28MLY7heIdvPTqfeS4PRQsFIlV07CpKhbFik0LYsKrMxgzvANbtxymXrl8qB4/83ad5eN6VZmx+zw2VSVWCQ7ElJwaaHRB8koIIYTITX9RaxQsFE1MbBibUo6gmz50M7BoaqDRNcnMzsbj9xJfPB8ThrTFRKV4mXisFg1V0Vj07XpataoBfi8YOpXLF+TFVw6iXPrvyKEEVE3Dayh4dJVVCzYQlj+GcrXLY1HBophYNJVXpg7iyN7TuFQb1rBwhr/zCAePJvPhK/Opcmc9IiNDKFsmH5picmjvaRwOGyoqKclZVKhQDFW1kJwg9au4ciYmRxKzLz/Oa65+fEOplqAGun6/309qWjqRMWEULBzF2dMp2DQ7di0Er0tj4y/H2LrpOKZfxaLYsSg2VEVDN3X8pi/QoKiBu71z3+tJj061wGrn7SmrGfFsd3x6DmtW76J280pYQkJo1+9uLNnpfPXBQqpVLMSEVxby4AOt+XDyUl547RuW/XyCs+kGpiMCgi692YJRFSgaH0KI1QCPk2mzVzG0TyPqlMvHqTOBrYcKRzqIjQwjOfXSRVDVArFWaA/qdRvpLf6Xagmc49/lVXJKGoqiUKlySQCqVC3Bd3MH8864bqhhERjWYHbvPUXZCgUCeyIrKoqioSoW1q7ZS5vmFfll83F61ivG9zvOsupAEm9UrMLHVeryYaW6fFixHs+VqMwrSw5weNcFlgxuTOsSEYx/cxGJJ87Q7Y6yPN7/Q1Yu3EexuPxUKVWcaEcE4dYwgrRwXBkKE8YtpELZQpQvFsnBI+epVDQaxapRLl8Yy88lkuBxUcDhIDYoMGcmOfXSC5DklRBCCJG7/qzWSE0jJjqcgoWjSTibSo7XhcfvIj07jRx/FgcOHad313c5eCSJlu3rYpgqfq+fBo3LcNfd1chI8bB00WZ6dmkEXhf43ARZTWrXLMWyJRtRFJW4fJHExIVhVU1CrTqLP1qIxWZFuzQM2ZeVyfRxn7Pqq5+pVbs4xcoWxhIeycGT6cx5dzEN+96LFhbOV29/ic8IbHtYtGQ+TMAwDU6fSqJQkVhioiNITk2/FKvUGUJcfebHlrn80OnKAcCuWSlbvgBrV+5D0a2MHjmPE8cv0rhBBTweL2Oe/5SJEwdTsWoxTMMdmJ9rmgSHOsjO9hChavS4rwEoKlkeOHchg7IVC5Gek8zHcweSYVooVb4QnswsEg8c4/U3e/HhhO+pWqkUaUlpnDuXwj2d6rBx4wG+Xbae8+fS0FSV8a8PoGLp/IF9xHR/YONsVaVQgSg27T7D3fWLs+9MOgAVSsShWe1kZTsDwSlqIFZZte7GUlWIrwwWx+UPZTmd2GxW7BFRFCsSy57jaRCRD1BB0/jhp4M0b1ENlMDoAQ0rJgaaYuXs6SSKFQxDVUELtVO6XCxZG09j8dpITVY4me5knzOdCiERjC9Vi6c3bKVcXCj1SkVT7+7KnHS6GTH1B/p1qcvpw6fp3+tnfP7/3nA9OiKEu+6sQY/O9cGTSeN6pRk48ksalG/My/3q8dq87Xx75iz5gxwkaOmBmCSvhBBCiJvjz2qNbCdJFy1kZrnwev1MfHMpWzYeJyTUwTvTB/DJlLWMfrs38UUCo8uSz6fwzpj5dLy/LhWLF2D0S58x7pXeWPQccKUHtu6w2Hn2yXvo0P1tmjStSqNGlbHv2MuMV7+gc58WvPn5cC5kg1UDh2ayedVW7m5TnQplinBu31m+mr+BgaPvp2jJAvQa/zguzYHNEYwlOIi0dBcxdgePPX8/R49cJDzETlZWDmXKxpOYkEVmVuDunNQZQlynxagiwsOoX7s6C7/cQvnK8aSnuRjw0Ad0u78l773WG3xuME06tKnG7FkreP3t/vz00w5SsrKoUKUoRYpGc+zkRWqWzRcYXqFZefG1L3jk0fb4TR9PPTadYS93ItPrY8brCykUH8GjA+/imSEzua9zYx7q2pABQybz/JgH+GHtZg4fP0PtpqXo0LkOGYkuxjwzk6/nvXB5JTxUDRSVnt2aMvHD77jn8S84dTYVi6ay5WwWm/cc47GBA6/HqRHX4K4WjRk2+jVefWcpXp/OF99u4u0Jj4BmwVQ0Jn38HdNnDQ80uUoglQ0MUpKcFIiPAt1PxdL5efDD9TStXICalfLxdeIJIjPDeP/kIRprBfgm6RTDzIqMLl+RF77bz5fda4FuEOH2M/feqjzwzSaeG9aWkf0bBw4qMPCA5AtpeNweCpUuChhgC6FkpdK8M/Z+Xvp4FUnJWVQqEkG6RycqQmFuYiLhYaHUr1X9Zp1OIYQQQvyPu1o04dMvviYsX2A9kOwcnUlfPIluKLh0GPpKdxTAnePG63SxefVuhj97D1WrluDgnouYukm9akUhO4Wff95N1fLxRMZEExwUxkuj7uOJx97nk5lDqVGlItoDdl4b8yWvT+1PfiMEp9/AmXiRli0r4E/18c3nG+nZqyXlShdmxec/s2n3Beo91hu3P7CtULsX+mNY/HgMhUy3n9FPfEalKoUASM1I59sFv9C+daubdzKFuMVc/dDl7MTAHNhLhg7sy89r9zD1wx9RFDh1Momu99YFjxPcWeDJJjUpjYIFotBNH++/s5S09By+X7KTeo1Ks3zFVrAFgyOM+Ut3otns3NWuFn7Tg9+vk3AymUObD/Hggw25o1k1Hnt4KhPGPcRDnWqCJ5vz59MoWDiGyLhQWnVtQkSRgmzfnUBwuB3D+N2Yc80C1iCwh6AEhTNsaBe++WwYmS4fiqLQ/qkvKZg/jvvatwl8vmkEYs08F7gTLG4Mwwic49/lVcVyZbirRRPGvvo5FxMzSEzKIMttgGblzLl0FFUlOioc9dJwZU2xYlGsbNl4lPp1yoJp8sbzHZj4ShfcdgfnTJNNWRmExJrEWRw01gtwv1qKlannKWgLwes30L06adkeHl26BzXLy5SuNRn52mK2/LyT7xduYOSoubTp/BZPDp/NM899wXPPzQKPC2zBJLkd+ELz06NPWwY90YmQIkUxTJNjF7NYd/gCjzzYjZCQwFxdySshhBAil/1JrTHwoe54PF6+/WwdjiAbRw5fxOXT8OgqfkNBNyHxXApP9ppEyrkUHh7QgmrVSmFTg3h97Fe89HwP8Lr4+Ze9vDfjFzoNmIkzPR08ThrXKUbbO2tw7z0vMvzx6dgI5usFYzh35AKRag6RNp3F038g+WwK48d9TeumlRjYfyLd7m9B5eqluHguDbeh4tFBNyErPZtZL3yCR1dQgkJ48eNHWf3jPuwOK489PJXk5AwG9+0ViFXqDCGu4Y7uvgVQux9cWsa8a8e2VKpaiOOpuxnQ933sVmtgroLHCf7AHV2/JwdNVcjKchETF0a9FpUZ+/RcBgxswfSPP6Jh/SrkOF3MmL2aRUvGYpg+TBOeGnkPq37cQ/9Bd3DqcDqvvfgNi+ePIkTzgd+D22tgsWi89fbXNO1QFTMqhi0/7WXz3mMcjo+iQ4cGgdXnDJ2jx5L54pv15M8XRWiIHbvNQkZGFucupDPh1YcoX6YozWp3Ijg48Js9DD0Qa3A0NBkOquxPdkMYftg2K7BAxO/yavFnk1m5/TsOHTvKsKemcHf7MTzxRGfuv78ZTRpXpu1do3iobxvad6yDIyiw7+6yxVsY99z9oCgodgdxRUJ54rG2PP3CPDq0jOHbZQex2RWyTR+nyaJMWBgJRhY2m4o1ykFMtIN5D9RBsWtERzmYOawFL8/dSOVCEdxTOIz8qdlsPp5K5QLhuNOymfPpD1jjizB73k9Ur1mC2HxhmIrJ6s2HsNkt1KtXhhaN6vPiUyN+F6/klRBCCJGr/qTWKFe6JAc3/8gnmxawf8shfvxyLalOgyCHhl0DTfezcvEWJkzqTdkyBbAoNiyqnZXf76Fm9dIUjg8HVzphITacOV4MwyQjw0VIRBj4vfToXJceXRtz8nQSAx+fzMzPRrBl/VFKZLgoU68SZ45fQPfo3NuhPo3rlSYyIphFi9ajxQRTu30TnD4Flw/sFgiPCCMrLQun18CmqjjCwsnOctOueyMsisnz/YdRpWz5S7FKnSHE1d/RtYf94UMVS1Yl2BZOqZKF2LT5EOdOn2PfvpN0e/RTJn2yhrrlolm+fDPhIcGMm9CTqKhgnh7bDR346JOB/LhqK9t3n2Dely+gWQN7jqqKRrlyRXhkcCusqo1xo7/io/cGEaL5QfeCqrFy3WGaNa/KLz/vITpfGJrh56sp33F/1/osW7CNnp0bXGq4Pfz00068Hh+x+cLxo5Oanc1XC9ZjtVrYc/gsaRkq4WFhf4zVERGYdyFuDEUJnOP/ySubzUbrxs15ZPBd1KlTlpCwICZPWYIry8nIIW1Y8tkT5KSm0KfnBO67dxz3d3yVgvmjKVowIjAMXtUCc3HsIbw4qjNz1p/AEWGjYYEoFqrH2UIi7UrG8eLe/bzTsyaW4pH4SsVgrRhLenwoE9adxGu38cnjTXmgfH7GzNmO46KV4XGVMVMUbFle5ny1kdWrt/Pm+30Y8Myd1OlQi68XbWPLpqNUrFWGux5uQ79eD6Kq//PjJnklhBBC5J6/qDWKxhdAd1op17gGWelOfv5xD15dZcvP+5g/9QeGDruHSuWK49BCsWshWBQHkz/8jqFPdAo0zwrUqFacKeO78+qz7ShYODYwVU5RAndWDZ3ihWNo0rgiJ45f4OSJi0THR+Hyq4x8qw/hUSGcv5DGrn0JxBeK5cv5v2AEh1CkYS2yvQo5Hg23T8FnQMMed5Ht8pGjK2xce5DkC+m0uq8xY15/kiplK/53vFJniH+goFAoMohCkUGXtoHNWxTTvMo1x5OP/umHv/z+K5o0K0LZiv15tHcTtu04zqzXOvHZoh24vTqhMZFEFyqEVzM5dPQMoTGhtG5TharlimLXQrGoVjTFimHqGKYf3fTjMzzopo+N647w0w8HmDD6/sBwaNMAaxBDR3/JwwPv4ftVG1mzeg+PPn0PRQpEMeKx2bzzel+qlIoBQyct2899D77HF1+NJjzagW748Pg8VC4zmNZtavDBR4MIya6Eav7JXmMymT93/ElemZhkhe5lzswfGTJ4Mo0aVmLtd6NRXGmYzgwwTBSbA8Nqx4cFe3AQ+D2BEQUAjjDQbOD3MnPWDxz89QAX9iZTyR9HxYhwFuecoE39grRvXYYXlx1g9+kMTExCg+3c2bg0q34+xJzBjXhr6iZiUqxU8RTANGFn8Dl2WLK4aLWR5lP4bOlQet7/AYPefowNPx/gw8fe4fHZL9G6fm06RJX783glr4QQ4g+cTiehl7Ziy87OJiQk5CYfkchT/qTW2Jpwki+ObGH+mKlERIXw1hcjGNvvTabNGkih2HhcWTpbNx3l8KGzrFu3j5YtqzN4wN3gDdxIQfcDZuBPUw/sW6vZwOq4vOrxQ49MYvQrvXAqTrIcYVzMsbB39WaKRVuZN3UNhh+eeroj67cf5MfVB7n79eEkuVQwFYJtBmE2EyUrg8xTCdRqVJH3Br9D4plEpq0cS3VbeWLV2D/GKnWGuI1d9/XG77+7I4p9P/16NWHSjDUs/LAXhSMdPNujNk++s4rKZeP5evkmHh7YgewsN59MXU73HnUxMDBMP0ePJFK+bAkURQUUNCyggmpqTJ+8kg8nDgKfJzAkQwncIfP6/GRnexnyeBc6dmyIz/Dx1KPTGPt8D6qUjA7sa2YLYuTLnzP21YeJignFb3gxTJ05M1dx/lwajzzWGtUX+udNrripFBSs3hju79GEEcNnEBJkQXGlseWXXYx553sUw0RRVWpVKkCXttWoWr0kisVy6YXGEljBQVFBs/Jgrxa0+XoT4XaTBiVCOenMxGrT6HBXOV79/gDR8dEseeNBsNrB8GM6s1i4fA/oBjvPpjE8tjyqCT+ZCSxIOoc1JpSixfIzbHAbdu8+RcFSBcnRHCyZvJhClUsTUrY05e35b/YpFEIIIcTfqFWwGBvMdLxeH3s37OPI9sM8PLgV+aKjGD9uAfv3nKJJ40pUKl+Erp0bUbBQXOALLXbQLJw7l0ZwSBCRYbZA46tql5pdKygaBw+dwQCmfrKMum2qcsaZiRIdR+Gq5fh0zCe89faDeDIAu07TDvX4/of9hOhuzuw+SHCIg7hyRQiyh3D6UBJHtx0iNiaMLSu38/gbD6OZDmKUmJt5+oS4JV33RlfFiukLIi4yCEM3+Xn9Ee4qEw1uL2/1qU23N1bRt3t93nvna0aN6c2gIXfjMVyoqLg9Xlo2G0nzZtWYNWckqkUDxURRNM6dTsVhdxAfEwquS3uRKoElcF8c2Zlhz31GSlo2ISEO0tOdvP1ab6qVigRvTqBpUS2ULVOI/ftOUq9BeRQUnM4cJrz2LR271KN8xULYcuKu9+kQ14ndF0eGmUDhwrGs+mkPn376AwuW7mT2Iw2JAgzFZPPZDGbM+oXjb69g1MBmNKhbEsURFBhWZBqgKKhWG08/diffzv2ZUXv3EumwMm/UHUzfdJp0XWHMU+0hOCLwwuRzo2juy9tn+3WTLGsOH6QewBJtI7JgBHNnPUnPx2ZRs1Zpdhw6RIt767F15TZO7zlKl3dHEqLaKR0UcTNPnRBCCCH+gaIo1AjNT1TBOCwKvDl8OivWjea7hTvwefx88/nTvy3qpGq4nC7eenchJ46fJzEpg/DwINweL/H5onhmaGdS07JZvXYvGzcewO/X8fl1Rjx3H+MnfIkaH8OOXQnoikqjNrWp3aIGYbFBlC0VRZeOrzNu1lM8P2kgXsPL8YxkMs7ksP2blXQe1p3dP26kQftGzH/nS/IXyUezTo0ppMWjyPBkIf7g6hvdwyug9B1/ugm12xnF7j2nGNm3AW/O+pXa+YOJ0FQaV8jH50Ob0u+jDdxRqzjvjv+cpnfUou+jbVCtCnNmr2Hs2IeIDQ/iod5vMHXacEJCHWAqvD7u68BcCL/3tzt0AD4P+UJMPpv0IKCQk+Mh2+kmPTkF0wmK1QaXWpVhg+6ka5/3qFihKHUalmPCq9+SkpzF6LFdseghWPU/aUgMPxxdBed3QsWOgTuE4vrT/bB/IWRd/NO8Uk0rezYnMWZkF0aNns3Try/jxMTOOJJd+HP8KFaVeuFBNOhclVRg2JwNHDp2kT69GqHYvYGhQyigqNzZuiYfTV/DjKHNiQ+z8vzS/ajBdt5+tUegyVUtgS2x/F4uJRuoCn0bFmfG9jOM7FeTlxfv5dtJvbAFWSlaJI6Tx5MoViyO79ds4qvxCynTqBpF61TmjqiCqH/24iN5JYQQQuSuf6g16oTF0bZfR6yeNMY/+h4rFmxn4fwtfLdgTGA0oaKSkuHhywUbWbBoA489fi/9H21DZHQQftOLbvjYs/Msr701n8iIMNrcXYdBQ9rjcFgxMdl98AgPP9uZ5x6bwT1PdGXjtz9RvEQ+osrHcOBAAjF1g8nKdBFp9aGE+bGGhFC8f1Ny/CpuXcWjK/R7vhebf9zGrp92MvzDJ3BYHRSz/snIMakzxBVw+3S6TvkVgPkDG+Cwajf5iK6vq8/6tJOBxX7+RFBQHB+Oe5KgxO18+PkWBn20jkcalWTaioPMeaoZnz3VjDeX7MPIySHn4nk63jWaCpVKcOpMCt98/gw200NURBAdO7xAVFQ42dluGjSoSO1qJcCdCYqCoevM/Gwti5bvxPDrl+fZm4ZJZJiDqDAHB0+mUL5UHI/2bkTFikVR7cF8+v7D3Nf3Ax7ofSfvTVzMCy91p1TJQoQ6y/x5nKYZiNWT+V/bKYnrzDQg+UhgJcS/yKtGVZqjVQ3jg4lfs/FcOu9+uYPDZzNIz/ExpmkZqpaKAVUhJi6EWcNb0Pr5ZfS5v25gxW3dHxhGBKBZeH10F554fh5WFfrcX4fOnepBUGigwXU7caWlk5iUyemzKWRlu1FsFu5sWYq77iqDYrdSZtsZdu87S+2oSO5vX4vPZq7mmZc6MPPNBWSnZTHok1EUD4ugQcRfjBKQvBJCCCFy1z/UGg7NQo8a9fnp0Bpq1i3Js8NmM+XjITg0A3Qdn2nSq99E+g24m09mP05ETBCnTicyY/Ymfl57gIkzH8WneXhjUi8clmBUNEDHZ+j8+ut+jpw5R/nmdXll9tPERAdzX9syHNx8kHfe/47ho9qhqgofTX+EaIeFF4fMxOPVGTCsLYXLFCZHV8nxq5y/kM3MMTOo1bIGDe6qTXVHMezKn0y7kzpDXAHDNNl9NuPy47zm6hej2r8EYsv+1jz8D9PUmTZ+GIf2Huf9lYfoX6c4+cPtVC0dS4fmpVHCHBxN9fDcjF+JiQ6lS7saNG1eA7vDEmhKrA78qh2XXyM8MhwwAr9N8+Xgzsqiz+ApNKxcgIF3V8Dm94PPh2mYYAbma6IAmsaeMxlM/GYHmt3K68+2J65QfvadzKB2izFUqFiM9RsnYvHEYvP+RUNi6JB8GCILQ3zVv4xXXCNDhwu7If3s3+ZV4oVDfPz6S5w5lsyMTSf5uEllWhSOof/a3SzrXRdbvhC0/CE4g+30m/QzX33wAEpYOASF//cKiH4vP63aRlSIlWrVi4NmxZmezay5v7B09QGCrRrxUUHkjwqm953lKBYbBh4Ppt9A0RTOZvoY8OEvLP6kL9bYfNz36Cxq1SvLC8/Ppmmb6jz5wdPcEVKdCIv9r+OVvBJCiD8li1GJG+IKa41NFzagkUiTOs9To1oJVi9+DrvdygfTfyIkMpRuvRsz/dNleIHoQvlITMqmRrNqeH06H78wi2JFI3luTEdC7MGoBNacGTF8BmWqFKFKnTJ89MYiMtOyGTmmExoKBQrEUKRIPlTlt90ZDNPg5MnzpGdmcfxEIqWrFMMRGcmgrhM5fjCB974bR/n4EtQNKv/XsUqdIf6By+un4pgVAOx/5S6CbXnrzv91X3X59w7t2kixPQuZsvIQTy3by9g7yvHrhUwWjWyJEmpDCbJDkIOtx1KYtWI/h06nUbRQFAN71qdunTJgDwF7aGCOLQroPkyvi1793ufBeypxV+X8GGlZLPvlKDuOJOFy+wm2a/gNk/wRQdQvl48aZeJQQ+xsOZPBc9N+ZVDvhoyfvo7T5zMoW7Yw708cRvUSTf95SW1ZtS53XEFe5WxdwGPPTuLXU6kk5/hY1qYen504zYO1C1OlUj60+FAOu/xMX3OMN1+8FyUkDGwhgXm3qhpodHV/YLEIvwd0nd07jjN07GL6NS9N5yrxWFFQNAUlyIoSZAOrBXx+TK8v8MsUi8bXWxNYfySZiWPv46ufTtLjkSl07dGYcR/0JulIGA1K1v7neCWvhBDiD6TRFTfUP9QaTnc2ny6aRnZWDi+9NIcuHeoy+b1H6NjzHZYsf5n5365m+YodPP7aQ5xIcLJq2XZCoiOo16YOYVaTXSs20KpFGUoVicCqWlBQuXAhhYQzaVSqUhy/xyAmOgpNsQTqT0UB08TE5D9TpkwMDFPHb/jYtfsoL46ah9dnsGXDESZ+OZxq9apS11YDu/IP++NKnSH+Rl5vdG9oNOWq1cevZzIg0cmJxCxGrzpEk5Ix7D2eSpVycZiKFwWoXSyS2oOb4EfhXHoOz3y4mp7n0+nYvtZve39pVjB1vlu+lYqlYrirRmGM1Azuf+V76haOpHXxGEIsGk6PH4umcj49h89/PMyzc7bQr1lput1Rls+fbkmNx+aTkulm/YInKFupApnZJfLkvlF5mb3q3QQ5PuXrO0rTfsUmOv+4hcaFIgmyaSgWFcWisvloEtUqxIOmXV607D9ztVHU31ZDNHQyElMZOnYx84Y0Idqjoyfm4Pf4UewWtAg7arSJEqqCqqJoKqZfx9QN7qtfjO3HkhkzfgnvzdtKrerFcWa4iVUKUrLEXwyFF0IIIcQtLcQRSr1KjahWN5xSRWLo1vstjp5I4omnOpHjc1GuemHKNKnMRbeVeZ+sJK5iaWzFCrNiwUbiYkJp3qYhO7bsYuu6/fTs2QBVsVKoQH6KFSrC+rWHmDZlOc7sHFRVwTBMLFYLDzzQik73Nca8PMzYxFAMVEWjepWylClTiGmTf2TIiHtoWK84xW2l/rnJFeI2d/WNrisVgqL+cRNqS807MVLSGOfx4zXh462nGDpvGz881wpVVTDxovh1UFUsikLREAufPX8X7Z5dzL1tKqPYvGA4Ag2LabJ2wyEevLsC+P2s2HSCusWjGVa/JGa2D1M3wBEYKlo1yM5dBSJxK/DB1lO0e2k557LcZLu8PHVfdSZNXcP0j+8nPP4fVlo2TchJg+wkCImVTbdvFNMEZ/IV5ZVqczB++lRyJn/M/OZ16bp2EwuOXeTx5qVQgqzgsLJww0mmv945cAcX5be7uKYReP/y8xpMmvEzT95TiSi3Hz0ph49+OsJ3R5IoGOZgfPvKxCqRqDYLisMWyEPdvDT8WadmiWh6vPYj9aoW4oe5j7D3rAWHsxiqXf2rw/8tXskrIYQQIvf8i1qjTuU6mP4s7uvchElJGTw+dCrzv17LrLnLGTWxD9/O3USmbqHuI93I9CkYpkmhiHB+eO0TGjSvTEhEGNu3HAQUNEXD8KsMGzadkCA7H73Vl9gIW2ANEUXF5YUJk75jwbfrGPJkZ+rWLYeiKCgYeN06A/t/xJdfrGXiB/0pUCScE+szqdnyT/bM/d9Ypc4Qt7l/qMb/xp6vAiu6XQFrq65YqzfirbaVeL51eX46lEjX938mNSMHPH5Mlxcz243pcoPHi9U0sVvVQONqEmhWFA1UDVVVMRVAUTiSkEGNolGYPgPD48fM8WPm+DBzfBguP3qWD5vLT+3oULaeTOXQuUy+GNyI17rW4p2XX8Jiu4LthAx/INYt0wIXJHFj6L7AOb7CvArNH0/UY0MoVqIgz9UuRUywjVaf/sr0TSc5keYmItxBVHRoYLl90wzMVdG94MsBryvwpy+HrJR0ft58gralojHS3Exee5QL6R7mNqtJtyKFeWjeNnIuODFzAkOWURQUi4bXbzBq1ma6vfoDLWsWpnLxGIK1cOpVvweH3fHP8UpeCSGEELnrX9YaijcM01uA9RsPM+HN/iz/fis7tp1g5erDbFy7jyJ3NCIxRyHdpeLyqihBQRSpXBJVAXQ/jZqVw6LYULHy2IDJ3N2qJu+8dD+xQX7MrGTSExIwM5MINrN5aXhbRg3vyHdLN9Ku7fPs3XOSUycSadnsGRYu2MBnX4xkwCN3c2+zTnRp2eWfY5U6Q4hruKNrvYJi/hJFUbC16YX/1zCejbDzw9FEfjpwkeojl/DMPRVpXj4flYtEo9g0sAaGbOiGiaJpl5rcS0NNTYMaVYrx666zVL6rPPFxoZxNzELJHwG6iek3wAgMTzV1SM3y89q2Y0zZc4amxaJ5uU0F3l99nLsGvEBMTLF/F6s16F+dHnEVrEH/Kq8ssbFEDnmStd168uvgJozdcJxB0zdSZsVBXnms+e9+e2lc2kv3Pw2vP7DYoqHzwbSfGNS6HGa2D5/Ty6JDF/nyjlr4czSqhkTTuUgO7648zKiCNSHUAarCliNJDPrwF/acSuX1B+vwTI/ajF96GjO8OeqfrXz4l/FKXgkhhBC56l/WGqovkpdGDqVQJZ2ognbGjv6aN5+aRtN+7Ul1mTj9GoauoKo63hw3NVrVxqaZqIaPli0qYVFtfDBxOY3qV6DjnZUgJ5NVq3fwxoeriIsM4mJyNi880YoWzatSpWw+qozpwdlzqdzdbgzHjp+nQIFofl43kWrVS6C54rD4ov5FrFJniH8WHZJ3h8Df0MWo/szR9StY/u1cmpWLps1bqzmXlkO4w8qCJ5vSpEoBtPAgTnsMXpyzlZnvPwghUYEVcy0O0H24UpO4t/tbfP9hd9JOJfLYG8uZ26M2+kUnhssPhonTp/PpngTe2nKCHL/BC/VL8Xj9YljLVMDT4F7CCxT99wcuk/lzx1XklTcrA2XvDyjZB1l6KJHur/2IoioM7lmPZwbdQf74Sy8KpoHp94PXC36dPQfPMea9VXw9qCHGhWz2HUzi082nGVOtPB6nht+roGgm/bZsZt6ghiSHW3nt2918vvYoVYtH88ljjalVJh8UbQwF66H+yZ7S/0jySggh/kAWoxI31FXUGmeSTrA3dTvffLeDbVuOs2vVVsIKxlO5x30Ua9qAsDCT5PUbCPG7ueOOCiyZvICp0waxb/sFJk1czBcznkDJSeeHFVuYMW8Dn4xuR6hVIdvppfvzC3nzhQ6Uq1aeBSsP8dJr8zlw8CyFCsbwy7r3KVIoHsUZg+oP/vexSp0hbmO53ugCGDmZvDJqOHcWs3IyMZuBc7aQ7fFTq2QM/dpWYldCJg92r0/DJlUhOBIcYZiaDcXUwZ3NJ1OX4ErP4IlOVeg78muGNStNWUVl++FkvtibwNx958j06vQsV4CRNUtRJC6coLvuxVK7eWAo69WQC0XuuIa8MtOOcWLnYl6fu46CBSKZOGcTHp+frvdU48EutWhWuxgWwyQrJZOn3lhOVrabd/vVJb9uYqTkcOBIEp9sPMXLNSvgcWr43Couv87EYwdYl5rCweRsCkYH83y3GvS/szyWsPwopdqihP7JRu1XSvJKCCH+QBpdcUNdZa3h1/2MmT6Z0DtrsXdfAr98PJ+zm3YQki+WKh2akbhjHy9MG8qaGYvp1L4yDetWpXunCXzz+bNE2X3o2enc2fVdln7YEwcm+Pyg62w6cJGHX/sej9/k+OkU7ryjOq+NfYiLyU4shNO6wV0oVzvbUOoMcRu7KY3uf7iPbeHhoaN5pEUJMv0GH686wg87zqIbJg1qFadRw4rYgkL4YfUuNE3ljTcGUL92aVwpSXR/8C3uu7MCF04nMfXr7WCYJKTnEBtso2elgjxasyiFbTaUwuUI7tgLNfoK5uP+HblQ5I5rzCu3K4s9WxZSq6xKmtvPjG+388kXmzlyMpnIcAfNahXj2OlUercqS7uahYizajg8fvR0D+mJ2dz3+VYer1yc/YlONl3MYFNyKh7DINym8Xb3mvRoW4Gg4CAoVB+lcAOUa92XTvJKCCH+QBpdcUNdY61xxp3FnPMnOe50k3ToJIcWLef4T5vw5XgoUroAteqWoHmTCvy69ih3t65NpzZVsBkuNm/cz/xFW+hxV2UOHb3Itr0J/LzjDHuPJ2PRFO5qWo7Ro7pSt0EVIBjTWwjVuMbclzpD3MauvtHdOAVKNoOrGa75O7rPg5J8EPPiDtDTaD92OY0blGXXkRRW/nyA1LTsv/16i6ZSOC6UfCE2xrQuT5N84Vg1K1rZmmiVG6HF/4u5uH/G8MPxtRAeD+XuAS1v7S91y9D9cGgZZF64Lnll+rMxPcfAdxJTd7Nt1xmWrT7AzIU7uZCajddn/O3XR9mt1IiOoFFsLHfE52PyiaO8MaAZRe64G6VgNRTrVQwf+j3JKyGE+EvS6Iob4jrWGqZpcsCVwS9pFzmYnMAPYz+mXbfGfP7ml1hUhVMnkvinErtcsWgaVinEnXWLExsdws/7LvLyi4+BpRiYEde2/aXUGeIKuH06D83YDMCsfnVxWK/xBs4t5uqzPuUolGh6zQegWe1QoBoUqEbK+WMM7BNEh3aVWLXlBFpQCG+/9yjHT5zj/PlUnFk5LFr4Kz6vwROD2+HJzuC9SUv45s1OvPTmctxRsQS36oBWshaK/Robkf8wzUCsOalQ9u7r8z3FH5kGXNwfWPL/OuSVYglFsVTDNCujeE5Tu0oUp0+l0KlZad56uAGnT6dw6lwaiUkuXNleFN0gWFGIs1pYfzSZgxcyeaNuRaz2CKwlSvPaoD4UadQIVb36hcr/i+SVEEIIkbuuY62hKAoVQyKpGBLJMUs4d44fwbHju+jUtT4vvdKdRx+aQu/uLbGaXtKSk/G6XGRnZLN01T5ee6o1ZQpGEGzTQNdBC0d3FKFSk/woWvHAjiPXHKvUGeKfGabJphOplx/nNVd/R3fvAshXMbAa8g2QnpVGSIQFxeZBV1348bE30Y1VU9i9aiNFCsbTsmEtzp9Kwe9VKVyo9NUtBvRPDB0S90NEYShU84bFe9szdEjYDhlnb1he6bqO4k1HcV3EzEjATL+AN9PJnu270b06VStUwmoPQokowEVC0OIKUaB02et+HIDklRBC/A25oytuiNyoNUw/uuLi542buaNZBfBn4nNnsW/3TtauP0iZEiW4u3ktFC0KLNFgiUJRb8Cqt1JniCvg8vqpOGYFAPtfuYtgW966839T5+j+Gy6vQcX3jwCw/4kyBNuu0521KyVzHHJHLudVUno2+crUACDxyA7iIkNz9fklr4QQ4o+k0RU31O1Ua0idIf5GXm90c7lbFEIIIYQQQgghbqyrb3Q9WYHx/3mdaQZizUm/PeK9WUwzcI4lr4QQQghxI9xOtYbUGUJcQ6O78/PAim55neEPxLrxY9B9N/to8i7dFzjHkldCCCGEuBFup1pD6gwhrmHV5ZuwTHmQ5RqWWb8WmkWWZc8Nt9t5vt3iFUIIIW622+m193aKVVy1oDy2pdDv/b9ZjOqmk8n8uSOX88rpdBFavBoA2Sd3ERJynbalulKSV0II8QeyGJW4oW6nWkPqDHEbk8WohBBCCCGEEELkKdLoCiGEEEIIIYTIU66+0T2xNlcn8rv9Bn2/OUvfb87i9hu59rwY/kCsB78DPY8vXHAz6f7AOc7tvNKNP318w0leCSGEELnrdqo1pM4QV8Dt0+n76Wb6froZt0+/2Ydz3V19o5t4MFeXKzcMWHPCyZoTToxc7EcwzUCs53eBmZtPfJsxjcA5vgl59WePbzjJKyGEECJ33U61htQZ4goYpsmaQ0msOZSEkQe3obr6pdgK1wHlNhj5rKiBWCMKgZp3VyW76VQNSjSFjATJKyGEEEJcf7dTrSF1hhDX0OgWqnkdD+MWpmqBWGXVuhtL1aB4o9tnNW/JKyGEECJ33U61htQZQshiVEIIIYQQQggh8parb3R9Obk6v+GmMc1ArF7n7RHvzWKagXMseSWEEEKIG+F2qjWkzhDiGhrd7bNzdcW6m8bwB2Jd/z7ovpt9NHmX7gucY8krIYQQQtwIt1OtIXWGEDJ0WQghhBBCCCFE3qKYpoxnELcvp9NJaGgoANnZ2YSEhNzkIxJCCCHXZpGXSD4LcXPIHV0hhBBCCCGEEHmKNLpCCCGEEEIIIfIUaXSFEEIIIYQQQuQp0ugKIYQQQgghhMhTpNEVQgghhBBCCJGnSKMrhBBCCCGEECJPkUZXCCGEEEIIIUSeIo2uEEIIIYQQQog8RRpdIYQQQgghhBB5iuVmH4AQ/yX5aO4+n9P1u+c+BjnBufv8saVz9/mEEOJqyLVZ5CW3Uz5LLovbmNzRFUIIIYQQQgiRp0ijK24Nug82TIIdcwKPc4nLZ/zp4xtO9wVi3TApV+MVQoh/Ra7NIi+5nfL5L3LZ5fVT/NllFH92GS6vP3eORYibRIYui1uDaYInG7yuf/7cvMLrAkt2IHYhhLgVybVZ5CW3Wz5LLovbnDS64tagWqB2P0g9Aap2s4/mxlM1qNwFoksEYhdCiFuRXJtFXnI75bPkshDS6IpbhKpCWH7wZN3sI8kdigohsYGYhRDiViXXZpGX3E75LLkshMzRFUIIIYQQQgiRt0ijK24Nhg7nd0PSocDjvM7QA7Ge3317xCuE+P9Jrs0iL7md8llyWQgZuixuEYYOB5eBKxWiSwJ5fO6MacDxnyA4GuLK5/25QkKI/5/k2nyzj0hcT7dTPksuCyGNrrhFKCrElAJbCChKrj2tqv754xtOUSCyCITFB2IXQohbkVybRV5yO+XzX+Syqii0KBd3+bEQeZlimrLmuLiFJB/N1adzOl2EFq8GQPbJXYSEBOfq8xNbOnefTwghroZcm0Vecjvls+SyuI3JryuFEEIIIYQQQuQp0ugKIYQQQgghhMhTpNEVtwbdBxsnw655gce5xOUz/vTxDaf7ArFunJyr8QohxL8i12aRl9xO+fwXuezy+qkwejkVRi/H5fXnzrEIcZPIYlTi1mCakJMG7sybfSS5x50JqiUQuxBC3Irk2izyktstn/8il3N8st2QuD1IoytuDaoFajwAaSdvjyXwVQ0qdoCo4oHYhRDiViTXZpGX3E75LLkshDS64hahqoFl8P2em30kuUNRIaxAIGYhhLhVybVZ5CW3Uz5LLgshc3SFEEIIIYS4UZyunJt9CELclqTRFbcGw4DEA5ByDMzcWahB13XGvvne5fc//2phrjwvEIgx5VggZiMXF1oRQoh/4yZcm03T5P0pMy6/P/nTzzBza76sXJvztpuQz6fPnqN9976X3z9x6kyuPK/kshDS6IpbheGHfQvh6EowbuwiCaZpkpFylnt7PsSH02ZTt1IByheP4annXuapZ0fh82Tc0OcHAjEeXRmI2ZBVD4UQt6hcvDYDZOSk0fXRxxj31iTKVSlCmYqFGfPa2/R6YigZubGAkFyb87ZczGef18333y+i9h0dyMxMo3W9EoSH2GjTpRer1nyPad7g/JJcFkLm6IpbhKJAZFGw2K/7tzYNP2SewHRdAHcyR08co+OzX3Eu2cmSd+6jTePSmMDHX2/nqTe/Yd/+7Xzx9gNExRXlfBqkZlupXLkBiqJc3wMLLwCh+QOxCyHErehGXpsxcKspnEo8wYlzpwiPt/PoA+9z9OB5Jkx7lJYd6qCbsOyrjbwx/FP2HD3EuGlPUTSuEKFKKBFqOHFqlFybxZW7gfmsezLY8MsKNm3bQbjdz/rth5m74gBRYQ4alI9nwpMtCQmx0/35xdzV40nefa4dg/q2wUckP647Qbu7O6AQdH0P6k9yWVUU6pWIvvxYiLxMMXNtPJAQVyD56HX7VqY7HTNpF6QeANPDhfQcPlq0h7fmb0NTFQrEhJLp8pLj8aMoEOywEhxk5eyFTMJC7LzyREu+XXmA2W92pUDBQii2kmArjqLYrtsxElv6+n0vIYS4Ua7jtVlXPLgsCbi0BLx4Wbl8D59OXsO2jcfQdYO4+EhcTjdulxcUBbvDRlConaRzaVhtFh546l5ad21KSEQoNuwUtuSjmCU/DlWuzeIKXad8Nk0T3Amkn91O96Ef8Hjn6uSLcDBy8s+s3ZlA/qhggmwaqVkenG4fNqtGvqhgvH6D88nZNKhZlMEPNmbPkSTeeKknWONJSFApGFccVblOgy4ll8VtTBpdcWu5Di8+ZmYC5tn1kHGS5CwPn609whdrj7HlUCIADpuFpjUKU65YDPliQghy2EBRyM7xciHVyZ4jiWzcdRZdN1BVhRb1S9Lz3pp0bV+dkJAg0AqDtRyKGnzNxyovQEKI/xeuw7XZrzpxWk/j0ZJJT8/im/kbWTB/M1s3HsM0wWrTqFW/DCXKFiAqNgJbkA3DVHA5PaQkZXLi8Hn2bj6M36+jqgoVapel6b0NaNyuIcFhwcRrUVSwFyZCk2uz+AfXmM+BBvcIZtZ+cjKSaDXwM4rGhbF2xxkuprkAKBIXQuOK8RSNCyUqzIHVqrHuwEV2HU+mRrl4th28yMlz6QCEBNvoeV9DHurdivenrOCjj54hwpEfzROFwjXedZVcFrcxaXTFreUaXnxM3Y95fA3m2c2cSnHyxoLdzF5zFNM0aVuvGJ2alKZhlUIULRSFxWYBTQtsNaCpv/tTAUXhhw1HeXf2r7RrWYEFK/axZuNxIsMdDH6wMcMeaUFUVARYyoFa9NqGzckLkBDi/4NruTZj4Ladw2U9y4WLKbz/1lI+m/kLXo+PZndU4q57a1CrQRniCkSj2Wz4DQW/oaCb4DMUdDPw2G8oOHN8JJ1PY/fGQ6z/bgs71+3F5rDRqnsL2g1oR3h0JFUchajoKHhtwzLl2py3XUs+G1mYOdswXef5btV+Bry4hIupTgrFhtCtaSna1ihMxYJh5At1YOpGoEbQlECNYdE4eDGbIR+vY864jljCgvh+82k+nruJi8lZnDqTQnh4MDM+fYa27Wti6hqk5SfYGnn1sUoui9uYNLri1qD7YPtscCZBhXtBs/6rL3dfPI7l4DJcGYm8vmQf7yzdR0SwjSc7VGbAPZWIjQkFixZobi1a4AXncqN76X0l0OT+tPUkE6at48v3exIWHgSqwsmzaUyauYEpczfgsFsZO+IeBj7YDM0aC2pFFOVfzqvRfXBgEYTEQc0H/3W8QgiRK67x2qyrLlxBJ8nxZ/D+xCVMHL8Iq81Cv0db8mD/psTmD+fb+VtQNY3W99YONLmmcrnZ9f+u2f19A6ybCqYJSedTWT53FSvm/IhpmHQY3JE7H2pDfkcEjUNLEmn5l3d35dqct11DPhumwVeLPqNr23j27j3OkBe+Ye2WkxSMDeWjJ5vTtko8qs/P5gMXmfrjIS6k5aAqoBsmBaOC6d6gOC2qFUC1WzmS6mLIJxtZ9F53tIhQOg2Zx5IvnmbF+uM8OGASKSmZ1Ktfjjff60epsvmwe+KJ1kqi/Js1ZP8il11eP43HrwFg3cgWBNtkuR6Rd0l2i1uDaUJ2IrhS//WXJm5awgMjJzCiXUUGz9rC6RQnIzpW4elOVQgLc4DlP2muXG5mUS41tqpy+S6uCXw0bzPrd5zm6496ERzsAFVFURRKFI3lnZc6MWJwK0a/9R2PP/8VXy7ewaxJfSheNBtTrYCi5Pt3B+5MCcQtv2sSQtyqruHa7LUl43EksHfvSQb0eZ9DBxJ45LHWDB3ZnrAIGwYGhmmiqgper++/ntIk8KabCob5n+Y28OY3FXQj8Hdh+WLoMrQrrfq0ZdGHC/h64nw2fbeRR94aTGpJF/VDilPWIddmcclV5rOJH8VyiDnzF3H8eHFefGsZxQpEUK1MPta914VgQ+fM6VSe/nQz8WF2RjQvS8nIoEDCAqcycpiz7TQTvz/AW71qUb5UDI/fU5HRk1bx5nPtiIsK5vz5ZJo1qkirO2rQb0Abhj71Mc0bjqJuvdJ8vXw4yaQS5amGhX+xkNZf5HKq0/uv4hfi/yu5oytuDYYB6Sch7RSEFwo0ov/ANE30ncswj29kxNc7eH/VYWqViOHTQY0oXzQKLCqKRQObJdDsWiyBu7kWDayWwN3cS0OW3T6dJ1//nuKFo3l2cAsUTUVRLv395cZYBRRQVdb+epS+T80mIyuHeVMe4c4WlUEpg0LBK4vXNCAzAaKKQWTxwPMIIcSt5iquzQA+RyI+RyJfzlvLYwM/okTJ/Hw841EqVS2CYeoY6Jimjm6a7NxxBqfLS7W6ZfAbCr4/efObv3tscPlur183OHskgZjC+Ui7kMK5Y+dYMPFL0i6m8vDrA6nbpi41gwpTJajQlcUr1+a87WpqDcUHtmNkpF2gbK1hJKdk88yApqQlZ/JQq3I0KBHJ5p1neX7OFt7pXJ3ykcGYbh3Tr19udFEVFKvKOY+PgV/t4KX7qlG/eiF6f7SeFx9rwdZT6fg1Ox27tGDw07P59LNncHmyad54BHt2naJhk3J8OGsA4RFxFPRXx3YlqzP/RS67vH4qjlkBwP5X7pI7uiJPkyu4uDWoKkSXhIgiV1xI6dsWoR9ezwsLdvHuysNULBjBW91rUi4+PPAJCpfv1gaa2kt3b38/J1dTSUhx0unJL2jfqiKjHm+JYtFQ/jOsWVFB0X77Uw08btaoHNtWvkC9miW5p+f7zJ7/K3AMk/NXFq+iBmKNLimFlBDi1nUV12afIwm/I4WJby+k34Pv0qFjPVate5Wq1UqgAIqiXFpgJ/D/UmXyERb234W7+T9vhgn6pSbXayj4DDi69xQT+r7BLwvX4czxcnT3cQ5s3k/pOhWo2KgqHz81iRWzVrDNdZZdroQri1euzXnbv8xnU/FD8GnOJ16k6d2vkJbu5LvZAxn6UANS0100KBPLidMpvPDZVr7oU59yIQ6MTA8Xzmfy+cZTTFxzhNkbT3L8TAZGhpcCisrcbrV44csdpCZl8XjbisxauJOaZfOzY/dp7FYNry8wusFi1RjxfCe+/u5p9u05Q6fWEzh+5hxH2YnHdP9zrJLLQkijK/5/8u9agX54I6O+3c2EFQd5o3M1FjzWhCmrj/z2SYry32//uYN7ucnV2LAngT7PfsN7YzrQ7s7KKJoFRdUCTa1mCTS2l9/U/2p+o6LCWDz3Cfr0aEzfITOY9eUGUE5gknTzTowQQtxEuj0NIyiNtyZ8zQvPzmLEqPv4ZOaThAQ7uDx9BOW3/5RAs/v+G0v/sLZsoMH9z9Bl5fKw5exsN1+8/SVRxQsy4OORtHmqB1pYGNXaNqbjiAfpNrof7YbcR3SBGOa9NocVM5ezPecsB9wXcv18iP+/DPwQep6Lycnc0fZFUlKzaN20Inc1LcvS1Qfo0qw0eH2Mnr2Vd++vQZipoGd7eHH5AZ74fh+G16RaZDgWXeWN9cd5dMluXOluwnR4plkZ3l92gDpFI9l5+CKlCoRz8kwyNpuKxx1odBMSkggJddCwSVkWrhqB1+PnoQ5vs3vPUT76bgZu/QqaXSFuc9LoiluDYQRWQUw7FRhu8zf0M/vQ96zm3VWHmbj6MG93qcbQFmUoGhlMutOLz6f/9sn/aXAvrXZ4eUEqTWPO0t1MnLWBbyY/SLnS8YEGV9VAtQTelP881n53N/d3Ta+iYrFamfJOHx7u3ZT+T87g+1W7QT2OSc7fx2sagViTjwZiF0KIW9G/uDYblhyM4BRmz/yRMc/P5rkXuvPiKw8E9gNV1EtNrXr5bi6XVkUODbXjcXvx+fz82U4qJr/N29UN+PrdrylRuyKmxYpP0cjxg9sPbh08OngMiCleiL5vD6FopRJ88cZnbFy6gS3OUyT5s/4+Xrk2523/Ip/nL5+P05NFu44vkZHp4s2xPWlcrxQYBr9uP02TygVJTnHi9+mUjQrG9Ph5f91xYm1WZt1Rjc7FClIvJoZ7ixRkYoPKtCqUj7G/HMP06rQoEs3mY8mohoGCiYaJ7jdQfjebcOe24xw7eh4Dk/9r777jo6jWBo7/ZmZbKklII5TQQi/Sm5VeRGzgVQQFUUG8iuXaBV+vBXsXxQaKghVEL4IoRelNpFfpECAEElJ3d+a8f8xmk0DAhhCW5+tn3M3ukp2zc3J2njnnPKdarWTGfXMvfp/J4N7PEBEfzia1mZPOPpS6LIQEuqKcsPyw+nPYNB0s84QvU4V5+Bd8ycx16Tz4zWru7ViH4R1qoUwFpkXTqjGs2nnYPocqGqpcqifXQBk6T73zE79sSGfS6wOoEBsV6L0NbMf15BYPWQ7eBocz6+gOB2NeGETPLk25dsibbN6WDsZWFCf5ArJMu6yrP7fLLoQQ5dEfbZuxsCIyWLJkI8OHvc7gId15ZFR/O7DVivpv9eJeXE0v0a8Lj7/wL5yGjk5xnkCt+JcXD19WkFSzMmltG+O17MC2wIT8wFZggtcErwWVG9bi3omPU71JLd5/aCy/rdvOgpzfME8W4EjbHNr+YH02ndmMm/ANt9z6Mhs27uZ/Xz3M0aP5NKxTCaUs0jOOkhIXzoL16VyQlojyWyivycxtGdzSoCqWqWH6izfLr9GzahIbM3M5lF0IpsKhayhTEelxkpvnta/7KBUMXtPTD5NcKcbOR6IguUo8Dz4/AKUUH702jQz/YfZYJxmlIHVZCAl0RTmhaRCVbKfBPwnfwikc2J/BTROX0zktkf/rUh/8ln2Z31I0qVyBNbuPFP/Okr25gdtHXp+N4XTy0qjLcbhcxb24RtHmLLGVDH4dJXp8SwS/mo7hcPLhW7eRlFiB/je/id/KAf13hslFJNhl/jtrPQohxD/pD7bNKvwIOflHGdB/NM2a1+aVV4dhaCWD3KKhynpxwFsi8K1SNY7H75uIril0TRX1+drBbqCJVMD2ddup294Ocr2BoLbAhHw/5AW2/EDPrs+yhzrf8MxtGA6DMSNeY39OFr/m7z55maVtDl1/oD4rzY+KyGRfeiYTJ83m3bfv5LzG1dm5O4PUKrFgWXaVtCx2H8yhesVwUJCR6yUlwg1oKKvkFhiRYEGTilFsO5IXeKOiXbLrmVKq5EAHBg7qSMeujVAoe/i+BYUFfv5vzFDmzfiFr8fPZot/O/knm69bRl3WNY0mVSrQpEqFv7fWtBBnAQl0RflgOKHlIGh05QnXtTO3r8bavJz/fL0Kv2kx9vKm6H7LvpLqVyhTERvmstPmFwW5RRmWA7fPjluAJ8zFA//uAg4nOFzgcNu3RtFWFOS6QA/c148NeksGuvY3U4WYSD4aO5wVv27jxTemgbH3xEOYDadd1paDZJ1GIUT59QfaZsvIB08Ojz78Afv3H+HDjx7A7bZP+IMBrVYyyNXRtaLNQEfH5TBwuw1WLd2KoREIeCkV9AIsm7GUnCO5mMrutS20oMCvkevXyPNp5B4T7PoVxFZO4l+PDiIzPZOpb0xms3cfmScawixtc2j7A/XZH36A9AMZrFu7gxsGduWavhcCikOZOVSMCUOZpj0OIRCoqkDtjA5zcrjQb58SULRggwqeJqAplh3Iom5CJJpTxwQ0QyenwEdEuAtK1XR48bkppO87EpyfvmtHBovmrKV9l2b0GXgJY5/8jL27D7LOt6XsIcwnqMsep8HU289n6u3n43Eap+JTFaLckkBXnBWUsvDNn8KCrRl8umoPT3apT5LHZQe5Psvu1bUU2zNzSY2PAIdevKSQ04HlcPDwG3PI9Zo8eleP4wNch7vEz047CDaO2XTnMb26JebvBr7JWrdM499Du/PfZ79i34Ej4PiDmT6FEOIs9dDTz7Bw4TrefHMqo0YNoHbtyqV7b0sEuFoguNUw7Me1osc07rq/JwfSD2NoCkMDo2SwGzj/zzuahyc6IpCYKjB02a9RUKiTV6CTV6iT69XI9dk9vWZg2HN0bBQ9burF9PHfsX/HXtZ6t5/Jj0yUU6YjB8uVwyMPf4Cua4wefXPwuZycAqIiPaVeX7dqDGv3ZoFDx+NxUjHcxfKMIxhOC8OhgpvuNHny101cmpZIdAUPKzNySEuOxnLo+C3AYaCAgkI/TpcThcXqVduJrRgZWAZXY+vGvaQ1rAbALQ/3JSI6nLFPfEqmlcVB68+vcy3EuUACXXFWsHasg6OHGfXDBpokRXN9wxSUz7SDXDOwGLoGP28+SPsGyWhOO8DF5aQQjRtGTqV6ajyP39cbzeUJBLeBANcZCHCLtpI9u8GAt8TQ5mCwq5cIdvVgsDvqgb64nA6een4y6NkoCs/0xyeEEP8I5SigzxVtufzyR0hKiuHOO68qY6iyVtyLGwx2dXQMe9PsLT4+mos71uf9V6fj0BUOXZUOeoHLb7+S6IRYlLLz6/gtDb9Px1doUFjgoKDAQX6hQZ5PI99vz2oBmDVhBr1vvZSYihX44tWvyNOOctTKOaOfnSh//O5MNm7YyUcf/kDTprVwlujxNE0Lh0NH03VMywJD5/yGlZi5Ph3ToaF5DJ7t0YBnVmznrfU72F5wlJ2FOXy9ey/X/LCC+omRDG1fA7/H4LGZ67n78ob8tOkgbZtUZuOeLGrWSGTL9gxq1UrBUhYNGlbFE+bEwr5Y0/bihnTv2x4FeCLCufE/VzL32yVsXbuDXeYfXNpQiHOMBLqifDB9sOJDWDfFvn/s0+sWsHhHJvN2ZPLQ+bXQTRWYm1sU5GoUWIpDeV4qJUTaQa7bSb7SuO7hr/lXn+bccsPF4PQUbw5PiZ5cd+le3lJBb1m9u8f06OpG0TglYmKjGHH7pbz34SwyMrPByCi7vOum2GUuo7xCCFEu/E7bjOsosTGRZGRkUbt2ZR5++H28hb4SAS4QXEZICw5V1rTiANcOdh3omkFcbDiHM7KZ9tkCnLrCGQh4HRo4ddizaSeb5v+KBljYgaxpahTmWyx7ezzL35tE5p5sCgrsYLfQgtzDR4mMjSQyws1Vw3oz/9vFHN57gAPsLbu80jaHrpPUZ0vzYjqyeemFr0hOjqV1m/ocOpQdfD4y0kP20ULQNMLDXBzO8+EOd3NjpzQen74OLcxBTMVwvry+NVXjIxi3eS/vb9pNocNiwlXNGNiuOoVhDm79+ldu7lyHypVjeG7KaoZe25pxU37lX1e0Ydmv2zmvWW28Pi/9ruuAUlZwiPSP/1vBprU7g/vT9eoOVKqWwGdjviPTyiLXOmaq1Anqcr7XpMPoWXQYPYt874kTcgkRCiTQFeWDUpC1B47uP/6po4dQ+7cwdul2asaG06tmAsq07EzLlmUHmIbGl6v2cHnramgeJ3hceA0H1z06lWEDz+fSni3BFQau8MAWYd86w0pvjrIC4GPn8JbRs1uiRxdg6OAuKAXjPv4JjEwUZWT5PLrfLvPJlgcQQogz6WRts2aC8yhvvTWVhIQYZkx/hnbtGtC79yOsWb0tOGTZDmgd6JojOHTZKPGYrjkwNANDc2BoDkY+eTUup45Lt/AYCo9h4QpslarGs/7nlRh6IDOzFmhCdSfVu19GfNPWHN6ejs9rUOjXyfdDWIVIbnpiCC4duvXrQHhUGNM+nk2evh+/8h5fZmmbQ9dJ6rPXdZDMI0eZNHEutwztSWpqArt3ZwQvYtdITWDz9gw0w2Dg5c149atfwe3i+q71iYh0M2LKr+S5dJyxHq5ql8pzVzbl+avOY/AlacSmRDH7QBZXTVjCdRfX5vKOdfjv5DX07dYQLSKMdVsP0rZdQ76d/gudujZnzeptfPjBbBRWcHmtwxk55OfaI8Q0wHAY9BnUmZ/+t5TDGdnsLqtXt4y6rFDsOZLPniP5J18dQogQ4DjTOyAEYAeNja6CIzvs4LGELQu+o6Jp8vX6dO5tVxNdYQe5GoAOOihD45NlO5nySFfwuMHj4Y7nf2DIde3p0rk5uALBa4ke2szDOSxZuok163awbVs6Bw4cxuv1l0rqoGkaYWFuqlRJoEH9alxwQWPS0ioTHDenTFC6nU5RacF1+RISY7isZ0smTPqJe++8DPQjYMWVKK8BdbpCTKpddiGEKI9O0jbjzMY0fUycNJv+13XE43Zw5eUdaNe2PnfdPYa0tCo88OC1hIe7UcpCaYDSUJoVuPhnBpL2aFhKpygRj9uh0e9fbfjvo1/RrmNDGretj6UUplKk1kgkJj4atwEu3e7lNQzF6vHjqHxhd2Jr1yN9yU9k7dyNp14yfkvjt1VbKNi5i8v6X0REpIsufVrz/ZcL6dGzEb8e2Mn1PfuXKK+0zSHtBPVZoSh0HGDKVwsoLPRx/Q2d2LBmN7+u2solFzUCTePi8xvy7XdLuLBlNXp1acjHU1eyYPNB2teO5+EBrZi+cDv/+mARNeIjqJ8UTZhT50i+j/X7stmblU+HuolMfKAj8QnRvP3DJnJNGPSvttzz0o88MKI3GVleHE4HMbFhLFu2mabNU+1TDaWhgMRKsURGhQX+ZhQojc5XdeCdJz9j7jeLSRgUS21HdQwt0IcldVkICXRFOaHrkFDH7hU9xrjJ02keZ5DrNbmqYaXSF9kNDc3QmbpxP52apBBeIRw8LsZ9v55KKbF2T6470ItruNi+K5OPJ81h3vy1xMZF0qZNPZo1r8WVV3cgOTkWt9sV+MVa8DYvN5+duw6ybu1OXnzpS3bsSOfOO66iW9cWxcGt0ijutFWATr+rOtD3+ufZvvMg1StXLB3oajrE1oD42qf8oxRCiFPmJG0zjlwWLVrPgQNH6Hf1+cELfZWSY5n0ycN88+0i+lz2CFdddSGDBnfD5XaiY6HQUMpOTavQ0LDQioLeEpln73mwF7cOfIdb3E7qNqsdXEt3wD1XMXXCLOp27UCE043PbVGlbXO2fT+Vev8awI4fZ1LjwvsxdIWmKcKiI9myeTcOXeE2FD2uaMnkD+ewfdMeBl7Tq3SZpG0ObSeoz151FEv3Mu3bpbQ/vx4pKbHEx1XgzTe/YcQdV4Bu0LZNXR4b/TlH800iXS7GPnEFfe+YyCMDW3N+vUS6d6hF99bV2Lr7CFv2ZlFY6Kd2uIv+XetSKSESzengiNfi3+8uIizczXMP9GDTvqPsPZBDh/Mb8fI7s/nXtR2xlEW7DnWJS3RjqeDIZVp0qIvudgPF+ZmjYyNpdn4DFn7/C5cP6sJRlUOMFm3/A6nLQsjQZVG+Kctk9W97+HHjAWrEhVM7LrL0CzTwGRpj5m3l9iuaQISHyUt2MmPxdh79zxXgicZyRfLDz5u4uv9zjPrvBNq0q8fkqSMZ99E9DLu9F+df3IDK1eIwXBp+5cOvfJjKh6n8mMqHJ9xJ3XqVufKqDrz+5u18MulhZv6wnNvveB2fqYqTUZVKSqXTpVMzdF1n5qxVoJ9gmSEhhDhbaQXM/GEFcXFRtGpROzDKJbBgqDLpfWkbpk97mohwN5f2epgXnvuc7Kz84gRUBIYu48DQnIEtcF93Eh0ZyTsTbqVJ4xSmfjQbhy+PKKdFBZdF7drJfP7ga7gLc4l0WaS2rkfqhW3J37edJtdfQ1ikA4ehAgn4dWo2roFDA5dhkRgfgeHQOXokD3ekzFEUMGfRfHw+Pz/PWUunruehsPCEuUhOjmXT5j2gO9AcTu66rSdPvf4DmsNJVFwUX7xyDW9NXc3D45awO8cHEeHUqp1Et/PTuKxTPS5pV5NK1SqyIbOQBz9ZwbXP/MhV3Rvz7IO98Dpc3PXEt4wedQ3KcDJtxgq692yJpUxm/biS6Jiw4LBlpTQ+emM6u347fsh1q0uasHrxRgrzfWRZuaf/wxOiHJMeXVE+WBZk7YLsvYHFze1rMOrofnIKfCzOyKF9ahzKClzbDEzO0gyd2dsy6NmiGhEJFZi4cCfTl+7ko7HDKTTCGTN2NtNmLOOii5vw0qu3kphUAQsTS/kwLUXxtdLiteu0QOIUgqlUSqwFiU5UVBjPPncLU6bM56qrH2P8uPuJjYmwe3R1wLJPnKIrRNK0cXV+XrCey3q2ISm6NlrRtSVlwdF0exh1har2VWYhhChvTtQ2a1727ktnwcJ1tGtTF0PX7Kkc6IFmVQNN4dA1Bl7fiev7d+SbbxczcMDT1K5dhVuHXkqdOlVQKJRmYimreCkiZWIpHROdqHCdcGWSWi2WO/u/xj3/15dqDWpwwcV1CI9w4c/PwREWhhmmUbNdPSxTQzcUbqdJmEMRZkBhQT6X9GmH27DQLR/PPfoZLdvUYvnCrew/cJi4aB+6CqwzKm1zaDtBfd6XsZelYxaRk1NA2/Z1AvXRZOhtl/Lqa1N4/ZXbwHDQvVsLPv5sHkvX7KNVgyQi46L56IVr+PHnTYz8cAn7M3II9ziIi/LgNy0OZRXg9ZukVYvjXz0b81SL6mguF5m5Pm564FPuGNqN6rWqMGfhFtq0qY/h0MjJzWP+z+sZNOyi4BmKAnbvOEhy1Yr2yIYSRWrUKg2/z2TZz2tJvCie1AqVAv9I6rIQmipzlWkhTjO/F35+AfIyoeXg4OLmN940hPFT56Jr8HSPBtx+Xip4TTsu1TW0cCe3f7+WB29ozW7LwTvfrWP8O3fw8y97efzpz7hlWA8u7dMKTbfn4Chlzw2zq72dhiE4SPnY4FYrCm6L7htomhbojdDRMFi+fBMPPfgeEz95mPiKUXaQq6zAphh404t88eV8Cgp9PPf43dw7bJj9ZqYPlr0P4XFwwT12sishhChvTtA23/PY//HiGxNwOR3ce9cVPPHY9YGkPVrpfx8cIqoFk/osX7GZd9+fzo7t++narRX9r+9ExYpRWJgoZWEpCws/ljKxlImpTCzlJ/toDrl5+Xz99Uou6t0K5Yli664cXvjPu1z+39swPRH4LPs6qFMHjwG5e9KZ9sJHjP7wLhLCTFy+PAqP5vD+m7N5/61ZeL1+7r97EKMffMjeTWmbQ1sZ9Xn33n0063wphzKyUQp2HnyPCtFROHQXhubkmque5M037qBSQhT4Csg8cJC+A1/m49cHkhznQfn94A+sZWVZFBR4OZyVj0PXiIsJx3A67CDTYYDh4KuZ6xjz0QKeeawfLVrWRzk89LnmGd5+5y7iEsJZ9st6Zs5YzrC7O1NgKgpMjUJTZ9b0VbTpdJ69pFZg3q6lwFvoo3edW0BBdEwkK76fQs3q1U5Yl/O8fhqMnAHAuse7Ee6SPi8RuuTyjigfNA0i4iEsNvjQ2g2bGT91LnUrRWMpyCo00ewFFcGhozkNfA6d3VkF1Kgez1MfLuaNFwbzxkcL+ODjWUz66j56Xn4efvLxmnl4zTx8Vj4+qwC/KsRnFeK3CvErL6by4beKhiv7sVTRSVbRzyaq6CQMu/dBYdGiZR1eeHEoA28YTUGh/7jhywcOZFFQ6KPjxU149Kk3KCwssaZuWKxd5mNPDIUQorwoo23esy+dF9+YQKdLmuD1+cnIyCq+wGeZJTYLLH/gfvFti/NqMua14Xw9+TGqpyYw7NaXGHzjcyyYtwFdc+LQnTg0Nw7djUN34dTdOHUPsdGxVEpKoEmjytx34xvs3/gbtapGcuM9VzD5wVfJXbMW18F9ZP26ml2zFxDntJgz9itGPDOYCi6LH774mY/GzCS1WiKHDubg9fq5pFNjnnt5PBmHMovLLG1z6CqjPr/w5vtYlkV4hBtd13C5DRRW8ELL/Q/24/8enxBYccFJXHwcb74wmP63f8jKDQfRXB40jwctzANhHjwxUVSqlkBClXiMqAi08DC08DAWrEmn983jWL/tMN9+ei8tWtYHp4eJXy6kTdv6JCRVwFQmtdKSuP2eHoGL8/aw5aysPCzLvjh/bO+U4TDQdZ3ouEgMp8HTr75d/GQZdVlDIy0xkrTEyOACYEKEKrmMI8oHwwmtb4aMLcGHcvPyALilcx3u+WgZ3Rok2QEu2EmonAZjlm7nXxfX4ufNh2hxXnWmz/uNLdv38+rYm/GrQg4ePkx4pAu9VFuusJSGpim771bpwTUfUSV7cvXAeo86llKBFFPKHp2sAcq+UtSocQ2G3daH/9w3ltdevR20oq8hi8t6t+H7H36h/7UXM2vOqtLlbdJPkkQIIcq3MtrmggL7gt3gAR35cfYqevVoAaiyl+MJPqSBZlHcs6vhNHQuv7QNl/duy46dB3nvgxk88fhHNG5Sk39dewnNmtdC1ww7S3PwIqOTCzo0pcGnVck8ksOvC1bSsnk9mk66h5w8P5vX7SJ9zx5iYyJJdPsZ+catRLlM0jdvZ973q3lvwm04NBfde7Xk84kLuG7Axcz+cTVen6+4vNI2h64y6nNefj7VUuPxhLnYvGEfTqdRPPpLM2nesjbvvjOdRYs30rZVGiiLuvWq8fHY23jkyc85dCibLhfV4+K2talXKwFds08QLMti07ZDzF6whWmz1lKndiXee/VmklLiA6s/uFizcS8fT5zDl1Mew1R+/JaX/n1fYOLXd2KpwFrRClYt/Y3d2w+WXSRDp1paCklV4sk7mk9O4NzpRHU5zGUw8+6L/qEPWIjyRQJdUW6FeTwAuN32EgAVoj1obiOwnoTGuyt2sjYzl4ED2tD/2R956dlB/OeJr/jwixG8PfZ/nNc2jZnTfmXFws1USY3j3pFXcNeQd9E0jUuvbkVCQjRrft1Brz7NqVEzwZ72a4e2wUBXBQNeA51AkuVAQGwvkaGBgl6XtuHHH1YwY8YyunVtTtFgieyjBQAcPGgvOu9yyTA4IcTZLSzMbpuPZOUAkBAXGcxNcHJa8bJwGoFhzXbQm1ollsdHXocCVq78jYmfzuHRh98ntXoy7do3oHHjGtRrUAWXy42h+Umu6CI+zseaX3bzxPAxtGxfhws7NWTW+GmkVI2nU68G5O7ezsqNe9i+aQ8PP3YFbccNx+MMR0PH9NkR+J7ddk+uJ5DNVpx7PG43hYU+atZOZt/ew3ZPKvaFFU3paJg8+fQgrrvmaSZ/9RjR4U5QiuTKibz72i1kZ+UyZ95a3vt0CZu2pAeu42goBbVqJnJh27pMfHc4kdGR9jI/gSUO12zYy4h73+Gjjx9EdyhM5Wfu7FW0aZ+GfUFeYVo6SmksX7iJjn3aBJcaOta29bvYtn4Xdc+riccjdVmIIhLoinLLMOxg0RvIuvDpyt081q0BhT6T2774hfo14nj2rs5c98xMHh91HXc/9gWjXx7ITTe+SuM2dQlPSeHKW6twzTCFoSuUBi9PuNP+ZZrCW+Aj36t49fnpjBrdj+1b0jmvebXgchd6IMjVMOyTsqIEK9hzwJQCC83uLVYaTzw5iD6XPcpFFzXF4zYAnV27MwDIySvEMI5Zg1IIIc5CRmD9UW+hL/AzwaWFSlHB/5UWyIdQPKdXCz6uAc0aVaFZk+tBM9i+4wCLlmxk8hc/sXrNdpSCuvWqUKNGMml1UmjXsjGtmzcgOzuPrMM5DB7QmeycAqpFRnKw0CQ3KpwuQ7oQExaLQ3eiYwAamQftXq8jh+1baZ/PXYZh4POZgCIhIZqtW9KpnZYSHEWgoRETF85jjw9k8JAXmDjhIZwOVyBXiEF0RReX9W7HZZe2sYfrFym6mKMZ9hxdzQgEuQ6+nLKQ9z/4ngmfPETF+Ah7tQfLT2zFCPrfcAGmsjCVFtgUN9/bB2U4MLGHMp8ouY5pmsFzJyGEBLqivDB9sPoLyNkPad3AcHL4iN0LGh8XDsCOI/lc9s58LAUj+jSi28V16ffsLJ57cgCjXpjGqCf/hR6pMeShawhLSuKIX0P3K1yGwqkrHBromrLPrQDdodP8wsa0ubgRljL5+svlvPrsNB59+mpq1IhHoYJDlRX2cGUNO/mDhobSdMBCBYZBh0d4uOXW3rz62mTu+08/wOKC8xsz5q1vqVmjEqZpkpObS1RkpF3ezTMgMgkaXx1M8CKEEOVKWW1zVhaAnYAPyM/3Fg9bViVmEaqyZhRCcc9uiSD3mKft1+hUT4mk+uWt4IrWAPj8Fpu27GX7jgOsXLKBbyYfQsMiOsJDTLQHj9vJkew8npu2nMNZ+egOnSU/bSYxMZac3EKUpahcJZ6cbHu0TaWkeAAOH8miQnSUtM2hrsxzjSxiYiNwu50Uev089uBEPvxsBJqulerZbdOuDv32XsiNNz3H++/eg9vhBs1hZxsvmYgSKJl8zb41QDc4cCiHBx56n4TEWL6YPArDSTAvyNp129iyeS89G52HzzIxA2vobli9hxnfLGPIfVce9+dUdA2+2fkNiI6NJPtwDkeysovLWkZdzveaXPb6PACm3n4+YS65yCNClwS6onxQCg5vtzMhBmRkHgagVpU4AAZ3r8/FjSrZ2ZbD3ExYsJMWzWry07KddOvVkqn/W0yFlHgadz+fubM3UL1RLcIjnIQ7jRLBripK2IyuKRy6wlTg1A3uHHk16bsOYqGxfOkOmrdMBd0KfrHoaIEeXLu/V8MKDGG2BzppStG370X07PEAt97aiwrRERw4eAS320mVqvbJVMahw3agC5C1B3z5Zc9rE0KI8qCMtvlghn2/Vo0EgOJkVEWvJ3CGHjzp/4Nt3LFtYRnJoJxK0TA1mobVIul1firpew7y2eQlzF+6hdy8AvvEX4HD6aBJnUq0aVGThk1qkJ2viIiKxHA62bX3MJ98+hMASxevt8uQeZjq1arYbyJtc+g6wblGxfgo4uIjOZqdT4eL6vPj97/SpXuzQO+pFuzZvfyq9oSHe7js8pG8+vJw6qalgGWAbhYteGv/Uq10oLt332HGjJ3G8mWbGPX4DbRoWbtUwkvT8vP4o5N44vlrsZSFaYFpaZgKvp+6lA5dz7P3pYw/EaXgSEY2VWtVQtM0MjOzil9QRl1WKDYfyAneFyKUSaArygfdAfV7w5FdduZi7JMpTdNoUDsRgB3ZXrToCHAYbMnI4+MfNjDmlVv59yOTGDm6H9MfW86N13Rl5KCXSGlYmwr10nj/vneolJpEt/4dSUiIxqEpDB0MTeHQ7CFBShXNx4HEqgk4NIvxb81ixdLfuPm2S0Cz7B5c7Dm59hefZc/f1Yp6LOxgV9fgrruu5oUXvuDxx29kx84DVKmSQEJ8jF2mQ5nUSK1ql7FWR4ipapddCCHKozLa5uBFyOpJhIe72b7zYKA3C+wgtyjoPSb4Dd4vQzBALmsIdCCACPSYFeYX8v2cdXz2zS/k5xUysGs9bhjWnihDsXlHJlm5XqpVimZvjo95a3/jtXd/5NaBF9D3ynbgcFG7clUWzoshNiaCF57ozxdfzgsG79I2h7iyzjUOZVKrYQwpVeLYuzuTwbdeQn6ejxnTfqFbz2bBaUtFGYq79mhGg0apPPLQB4R53Awc0IX27erjdOjBam5aFqvX7ODH2Sv5ae4qoqLDGHxTD0b93wAUFqby2as5BDI7p+/PpEuPplSuFovf8geHLVtKo0adFOqfVxOLsi8ZKaXYv+cQl1SKxdAMtmzZESir1GUhpOaL8kHXIbkRODzBh47m5uJyOfBEh1MtKYq1u7MgKoIVv2Vw38s/Mu6Nmxn50jQe/e81xCRF8O/RN7L9qJNL7uhPRNUUsoGej97K7qWr+WXJFpIrx5OUEkdcfCQuXcOhK5zKHopsD1K2e2gx4N7/Xs1zj3zO4SMFxMZ4An25FlZgTV070LUC/84OljXNDne7dm3JK698RU5OPmtWb6d+vWo43XYSquyj9lVUNB3i0ySzpxCifCujbS5qx5wOnTq1kli9dmdw7XCgOOhVgVNzVTKAPTbgVWW/tsRQaGWZ7NidyZwFm/luzkZycwvp1DKVp4e0p3KkEys7h3emrOSzBdtomBhFjNvB+owcoiLdvDr8fIb2bsS97y5i8fJtPHRHV+IqRrNm9Rbq1krE6c8rVSZpm0NcWecaObk4jSTS6ibj9frZvu0ANWomMeWLRRTke+lzVRv73ICiS9qKKlXjGP/Rf9iyeR9ffP4zL7z0BSgVSEJl19369atxScfzuHXYpXjCnIE5v0VLF1ooTEzlZ9XK39i9J4P+gy7AVD5MBWZgHu7BA9kkVakY6Lotu0iH0g+TdzSfarVTKDzklbosRAkS6Ipyq8tFHbj70acYP2M9fkvx6Y8baN4slS9+2MBn793Gtgw/DreDPfszeH/iXFyJyWR4DZIuuYDMAnt4stsBiS2a4Dbg4PqtfHHvGJp1bEb367vg1MEyNMAKZlzGsNAsDU3Xuf/Jfsz/cTXnX5hGVIQbCwsDDYVB8OtOBW6Lhi8DaDBoUHfGjv0fs+espE2b+nzwwUyiIiNo2+K8M/qZCiHE39Xxgnbous57H84hN8/LlP8t44PXh5TueUUFEvNYJYZ0qmMC3GNfr1DKRFkW6zftZ+7irfy0ZBtZ2QWkVormgmZVefPezsSFO6HQCwVeCg4cYchLc2ieFM23/VpCgQmWQvMY/Hwwm5tfmsMnI7vzyu0X8uOqfdxw50fUSq3I1O9XU6NqRd7/aBYOh4NLzm97xj5PcWZ1uagDH3/1NZf0qAPAV58t5j8PX8ZLbw1i7GszsSwTTdewgoGm/d1vaAa10pJ44KF+aCWTqhW9ShWN9rIwLa99L7BskaVMFBa/rNjMqIcmMvbDoYEAWOEPDFk2LY3lCzaRnV1Iw1Z1Trj/c79ZDEBhgZdZ/1vIpZ06nvoPSYizlKbUicYRCXEaWRbkpEPm9sDi5nbWwC5X38APcxfgchr4/SY3XdOaN5+9Hj0ylt79X+WlN2/mpsEv8+/nb2HkbWO59IX7yCxw4/fr6LqF22XhdijCHeAxwKVbZP22i9jYCCpVqUiYAzyGwm0o3IaFU1e4dDuBlUtXzJi8mMMZR7ll+CUYmoGhGeiaA0NzBG7tn/XArYaOrmn4fRbnn38HS5duDF7hvWvoIF7870N2eZUFuRkQVx0ik+2rzEIIUd6coG2+ZsidfPb1NAxDxzQt9qx5mUpJ0YHA1Qz00pqU6s0t1WtbYqiyUijLYs2GvbwzcQkbfztIw9oJXNQilQvOq0pshAtME/wm+Pzg9UGhl4LsfAa8OIfrm1Sme+U4rBwf/ny7h9gI0zAquHjgp01c27UurVvVgDA3uJx8PW8rV971WbCIA/tdwfg3ni3eR2mbQ1cZ9XnD5q0069iHgoJCPGFOuvZsytgPbw1kAdf54O1ZVK+RSJfuzdHR0TUDTbOXHdQ0PTCoWQ8EuzYVqOdFSxUVTZGye3Xt2717D7F5y17qN6hEhdgwTGXiszS8loYvsL321Nec360ZaU2qYyk7AFZKo+QA/+fueY/ZUxbhLfThdDpYMuNLzmvc4IR1Oc/rp8HIGQCse7wb4S7p8xKhS2q3KB8sPywfbyeIaDk4sF4FfPvxWL79+i2efXsyS1btocvFDTHCo5g8Yy1t2tUjOt7FsIevJF9303l4P/JMFwUFBn6fjuHQQfOj6RYOSwUSUOkkpqUy572vqV6/Km07N7d7dpWy16dTgeuvyl6kvctlLbhr0NuBuboqkLih5G3JZA7F14ycTgeRkeFERHiYMeMZ/DlhXNCsxALtlglrJ0N4HFxwD+iyvq4Qohw6Qds8YczzDBl4Pi7XUTr2Gc3U6Su4deCFx82nDQ5DViV7dgPBbeDn/QeyeeCZ73AaGv++rg2Na8XbAYlp2cFtQWFxkOvzobx+fDmF3PjKXPo3q0L3yhWxsr348xWm187orPsV+C36NanMN4u207pJZXuYDxrbdx7C6dD58Okr2bhH4+H7Hy9RXmmbQ1oZ9bleWi02LZnOzDWTWLLoNz77eAFenx00osF1N17AbYPewTAMOnZpCgo0ikZxFQW6xXN4i6gTBLr79h1i5IMTady0GsPu7Gr35GIFzzusEteCBtzeHcN1fB0syrZsWRbL566h+zUX0PyChlzb4jLqVK0eKKvUZSHkUqUoHzQNPBXAHVXqYbfbTUrV+rzy2BW0bFKVCZNXUKhcvPb2NG69oztPPf45lepUZ/qnPxNbrzYFXp21X/yP1Z98junXMP06VmC6WGAQHaaCtldezIrvl5b4YtEC6+IW3bfnxzgcBmMmDAUoFeSW/K/oueJhSmBaJlu37iU+vgLt2zXiwlYXoB/bM+COsstcRmZRIYQoF07QNjudTjpf2I0L29Wly8UNmfDZgsAzJQJdy7QDVssstSnTQlkWyu9n4pQVDLh7EiOub8vYkZfSuEZFu8fW67eHJxd67UA3395UXiG5h3Lp/+IcrmqcQs+aiah8P5bXwvJrWJZWvBuWonGlaNbvzkJ5fXag7PcxYdoaenSoTb+uDRh53z04HMdc85e2OXSdoD5XrVSFPr26cNW1bTh8KJcfv18d+F63cLkNxoy7hXoNK7Ni2RZMq2ierZ01OZg5WfkxlWlvVtHPPkzLh6n8pKcfYvXqbSxetJFhd3Zl6J1dAq+38FsKX3Dd3OL1c1957DN0w0AF5gjb06NUcGGulQs2kJF+mM5Xtad3z47FQW6RMuqyhkblmDAqx4QdF5wLEWok0BXlg+GEdrfBedcdt25h69adaNOyATf1P59vZ67iiRemcsPgLmzbsZvde46Qbxmsnr8WfyDjZ96Bg3iPZgey+6vA/Fu7susAGkRVjKbTDT1K5XYo2S9b8v69Q8dRWOgLZF4+9hWBn1VxwItSfPfdEnbu3E+bNvX58rNFaNYxJ1KG0y5ru9tknUYhRPl1krZZIxpUGIOvu4D5S7awcvUOO7BVgQC3RM+usuzeLGWZYJps3rqfa27/hN+2Z/C/N/rTNC0h0GvrC/bclhymrAq9qPxC0vdlcfXzs7m1fQ0ur5uMKjRRfgvLZ8fRmqbQDYXm1NCcOm6ng0K/SWC9Fhat3sOKjfsZfFljMGLRnBWPL6+0zaHrJPU53F+Z+o2r0KR5KuPenktxLg4Lp0snISmK2T+s5oZrX2Hjxt0lEksVB7yW8mEpXyCrsp/sozmYys+wm97g/rvHk5eXT88+zWjYpHJg/VwTUyk7sC2amxvo1f1tUzpO1/F1MLgENTB13I+k1kmhfvNaVDGSjy9rGXU5zGUw/4GOzH+go6yhK0KeDF0W5Z5hGChXTa6/Bh5+5hvGT/iRNVve5MvJc+k7pAsZGXkkpCZjaOB2KZoNuoaCXC8Op4XTaWHo4NDB0OyRa4YG21ZsxKFMDK3o8bKnqmvAkcwc3G5n4GcNSg1UKk5AYQ9jspNNjB49kdat6/Hxxw+xb9Pp+ZyEEOL0S+aKXs1IrVqR0a9MY9LbQ46Zf2sHuXYPr+JgRjYPv/A9hYV+nrizE3WqxRUPUy6ah2sGAlOfP7CZ4PWRkZHH9a/N4+W+zagXG4HyBl4XyBKkG6AZCodHQw93oLkdoGv2W/ssDNPk6QlLSasSQ89W1dHCT5zgR5x7PFZFdDOMm27ryJ1DPuDXFTto2jwVILiywp339WTXjkMU5Pv48INZ+ApNLurUiNpplSgs8JNxIAuX20FWVh5vvvIde/dk8vb4oTz32kDcHoc9R1eZgSlSKph0yq+KE1BZgTm4WZm5dLy05XH7aQ9bVmzftIf5M1Zw1+gb8Ghu4vWKx71WiHOd9OiKs4NelYjoCnRo14B9+zLZuGkHCSmxpNavRnhsNFc/MACXDuFOi5h4J3EpUbjcJk6HnWjKpYMzEPBqfj8zxk6her1q9rq6mv0FVqrnV1P2H4dSXNylUWDUT9HQoZLZFYsyLxff//abhSyYv5ZHRw1Ax0mVxOqn+cMSQojTJQmH4eLhEb34bOpylv6yzQ50LfO4IHfekt+4bsQkbunXivGjrywOcq1AkBu8H/g5sCm/ifJZ3P3RUp6+ogn1KkYGe2iLBtfohsLhUjjCNPQwA80ROL2xFI0rV2DZ5oP8vGov3y7aziPXt8YwnBBR88x9bKLc0dCINCvT++pW1K6TzJOPTsayir/f7XnlFlVS40irl8zlfVuRkBTFl5/Ox+vzcssNb/DSc1NZungzLrfOrbd3YcKXdxAe6cTp1oNzcYuGKvstzd4CQa4VWDdXBRJOeSI9NG1rX4zRAhfji0Yga8C7T39BUpWKdOt7PilGEroMtRfiOBLoivLB9MPqL2DTDDtZxDE0zYVpJZF9tIDKVeK57aYxfDFpIT5LI33nAb567mNcOrgNCHdZRISZRLgtPA6Fx4Aww8667NbhyJ4DdLq2E7EVo3AGenqNQMBraApDDwx31mDz+j1cdlVLdK0ovNUp7sEtOW/XQqHIyc3nnrvfpkuXFnTr1hLyo8ueA2P57bKu/sIuuxBClEe/1zZjACnceE1bGtdPYfiDk/D7ffaTRRl1LMX8pdt47p2fmPz6dbRsUMnuhQ0GtdYJ7yvTAp/Jb3uzcOoazavGlkhkFdgHh4bu0dHDdXSXHkg6Vfz+/ZpX5cM5W7hj7AJapSVw3UW10Co0QdPLGNQmbXNo+536HGmm4NTdPPTkVcybs4GpXy6nODeHVZxNWVmEhTnp0acZ9zzUG92A9z4ZxuiXr6NLr8ZUqlyBmmkJwaHN9pq5pQNcn1U0F5dgRuWSa+iOeerLUvtW8kxi4fcrWThzJbc83I8wt/v4Yctwwrpc4DO57PV5XPb6PAp85qn5XIUopyTQFeWDsiBjMxzeXmKdxdLMwkQG39STF14dxPKlv+Fwu/FaGqapUKY9RNltQKQTol2KKJciygnhDnvL3rmHTx54nehIN+27t7J7eg2FK7CskCOwGZqye3qxeP6xr3A4Aj25mr18gFaiNxdVIthVFg/e/y7p6Yd5+bVh6H4PWmFUmWVBKbusGZuLl94QQojy5g+0zZCKwxHF289ex4rVuxj9+ky7NzcwdLmgoJBRL89kwnNXExnmKt1zW3TfUsEhyMEguGhTip0Hc6mTFE3RgBpNC8w7cWhoLgPNHejFNUqEAwowFY2TovhhzT7W7TrCG7e0RffEQ2LzE5RX2uaQ9jv1WcdJnK8enbo3pmefZjx890T27T1C6cvaJf4rSj5VIhlV8WN2cGtaCp9FiR5cgr24fiswNzcwZLkoA4i30I/Dcfz8WR3IyjzK8/ePo03Hxlx8aUvSjBq4tDIyKp+gLltKsWp3Fqt2Z2HJCqMixEmgK8oH3YC63aHGhcF1Go/ldoVx7aVXc1GX+lz+r7ZMGPM961duJ7xCJDWa1sahgUu3e28jHRDlhCgXhGsmvszDzH7/G/5119VUrRoXWDfXXivXWcZm6IolP6+nZZuaxMVFnCAzYYncy8pi0sQ5jH3rO0Y/N5hatVLQcxNOnNFQ0+2y1u1ul10IIcqjP9A2a5oOWn3aNq/Og7d34bEXpzNr/qZgj+obHy1iSL+WRBUFuUqVvrXU8Y8XUQAabeok8MO6dPwKtGDiBd0Obh06WlESBk1DK5qHEsi8PH31PrYeyKFZahzNq1VEq9ENTTtBuyttc2j7A/U53Eok3EzkqZevw+lyMGzguxQW+oMrKwSnLB2zWUoFemwVfgW+op5bpZUaphwMbpUWuL5jz8lVgftgB6O33n/lcfvm95v8d/jbmH6T/zw3iHg9jmQjqeyySl0WQgJdUU7oBqQ0g8T6J22QnVYF1iw+TKdezandoCqPDX6JvKP5JFRJwKGDKzBE2eMANyYrp8zmgztfJDExijteuJXqtZIIcyg8hoXHsHAZFi490LMbCHIduuLg3sM0aV6d4fd0CwxbLmuNPCiatzNv3jqG3fw61/a/mCG3dMPIj0ezTpKxUzfssqY0ky8gIUT59QfbZk2vAFoqj93VlU4d0rh66Ies3ZhOVnY+M+dtpl/3hgTHGquSi4VSYu3dEs8XxboaYGiEhTkZ0rE2T0xbawe2Dh3NoQXvY9jBrqYXt9NKKVbtOcL1Hy2hR8NKNK1Sge1GHbSIEwQGReWVtjl0/cH6HOurS0J8HG99dDMrl2/n3uEfYVpWcOCBguDyhEWbPxC8FgW1pgJ/IMGUqbRS94uzKxcHucHVHhR8+No0KlVLKPVnoLB4+ZGP+WX+eh4bM4xKlRKo40g7eVmlLotznAS64qzTutbFtGvfjKfH3Yk7zM2TA59i8oufYvl8uHRwKJPD23ZzcMNvuDXFA2PvIjrMINyhCHdYhDkswgI9uiV7du1bi2U/b+C+oe+Rm52Ly2kEUvmX3TOrUCxetJG+fZ6iTbu6vP7WMHR/JEZhzOn8SIQQ4sxzpGE4YvnsjeuplhJDlwHv8PDzMxhxY3s7UY5Sx5/Rl1qqLUAL9MgW9c4aGpqh0a99DXYfyWfh9kOB5Aq63btbnD6/KJsgKFiTnkWv9xeSFh/Bh9e34vmbLqVau8tO3+chzloGLmK99WnVtjYvvn0DX01awkN3TcK0rGCQa1E0t7Z08GoGkkqVGqocGJpctHSQHdzaP6tg4GwPXc7LLWTj6l2ERbiD+2MpxRv/9ylffzib/zx7Ay0vaECaUQt3WUOWhRBBEuiK8kEpyDkIeZknmQdmiwiLpHF0WxLjE3nikwcA2LN5F5NGvcfsD75h7O3Ps3ftVhq3TKNn/0uI9OiEOywiHBaRTvs23GkGAl478M3YfYDXn/oKs9DLxjU7GTvhVlJTKwZymhzTkxv4DxTffbuMPj3+S5PzqjPpq/vwGNG4c6v+/iLsStllzTn4u+UVQogz5k+0zZpmgLsN0dHxzBh/E3EVwnn3s6VEeJzF3WDH9t5CIN29Hhx6HLw1dHA40BwGOOw5uC8NaMljU1eT4zMDw5a1QO+uHgx+MTR+2nmIrh8sokoFD98MakdUfArRnW/C6XKfaPeLyyttc+j6E/U5zEog1lefPle34rk3B/Dx+z8z/Mb3yMvzolTxMkDWMQFu0c8WnDAILnqdojhgLtq9PTsO0rF38bJC3kIfT414n0/f/p67nryeXtdeSE29Jgl6wu+XVeqyOMdJoCvKB9MHS9+F1Z+XmQnxWC48NHE0okrlyjz26SjiU+JZMXMJ0dHhPPD+fXTtdyEeQwW3cMMKBrsRzuL7mjefVQs38PrTU+jaozFREQ6G3tGZ+PiIwJBl3U5CFVxSyP4y8vtNnvy/z7nu6hfo2KUJX37zEFGeOMJyqwcyM/8Oy2+Xdem7dtmFEKI8+pNts6a50cI6kJiQxOWd61OnRjxdBo3jtQmLAksNcXygS9Ei50Yg4NXt+0VbIMjFoVMh2sPDlzfmgcmrigPcoqHMho5S8PL8rfT6cDHNUyowY3B7KlauhrPrzWju8N8vr7TNoe1P1ucIM4UKvjr069+etz66hZnTVnFll+f4beuB4DDmol7dkgGvqUrOwS2xdBAcM/xZQwXn5drvGRbupvPlbQDYtyuD4Vc+ww9TFjPyjVu4clAnquvVSTFSfr+sUpeFkEBXlCPOMHB6/vDLw/UwLghvSNXkZB755FHa9GzD+Mc+4NXhL5GVnhHMqmzPxbVv3YZJmGEydcJc/t3/NT56ayYXXlSHMe/fRJu2aTh0B4am2wFuqZm5mp3lE1i1cjvdL/o/XnxmCg+NvJrxE0cQ4YwjIrc2GmUsV3HC8nrsMgshRHn2J9tmTQ+H8IvIPGqy9POhDPtXK0aM/o5ut05g8/aMY15cPEzZDnb1YHAb3IJBrx3QXtyoEmFug+nr9gXn5mJobDyUQ/fxC3no+/Xc0a4GXw9sQ4XUWrguHY4WHv0nyittc0j7k/U5yqxKrK8B3S9rzlc/3E9OdgE9O/yX99/8Aa/PCk43L9lTG5yCHghki3tuiwfrF/XiQnGQC/D6E59TWODjyw9mMeCSkRzan8WbUx6g65VtqWXUpIpR5U+Utey6HBfhIi5Chj2L0KcpJeMZRDmSseVP/5NCy8/y/O3s9B1i2fdLeO+x8eTn5NNnUBeuHdqdpMQIPIYF3kJG3TmOO+/rgcftJDklhohwD7pWvDZuicljKCgZ5rJ9WwYvPfMNn06YR516Kbzy1s20apWGx5uCx5vyx3pyjxVf+8//GyGEON3+Qtvs9ebhKFwL+Zv5/ufNDP2/b9iXkcOtVzfn/hvaUSk+0n5hqSRU6vj1dP3+4K3y+sFrkptTSJ8XZvPZrR04muPluRnreXfBNqrGhPHm5U25uEYCRqMOONpciub8Cyf00jaHtr9Qnwu0wxxybuBI7mGeGTWZCe/OpVbdZG6/vzedLm2BHhhREMzNXDQcmWOnpmulZqaXDHIty+Kega+xe9sBdmxJ57LrL+T2kdcQGxVDbT2NGD32z5dV6rI4h0mgK8qXv/DlU2SvL5OVhdvIyc1i8lvfMuX977Esi25XtOaq69rx9cfz6Nu/DZd0bIiuOeze2uC6uFpw3i3Y2ToVisJCH7O/X8PEj+bx/bSVVEyI5q77ejPo5o6E6VFEFNbGYUX+9fLKF5AQ4mzwN9pmVZiOylpI/tFMXvpwEc9/uJC8Ah9Xd67PDZc24ZKWqTgcgQuFRRmZi4Jc0wS/ad/6/ODzo3wmvgIfr/5vHW/9uJldh3KJ9ji5u2Mat7evhadCPM7z+6Gn1Prr5ZW2ObT9xfpsYZJpbOWItofVv+7ghccnM3/WOqpWT+DqgRfQ46rWJFepWCqYVSfoxbV/tm8P7DvMzClLmPzRXHZu3U+T1mnc8Vg/GjavRaKWTKpWA0P7EyPGSpK6LM5hEuiK8uVvnEwBeJWP9d5tHOIgeYez+W7iHKZMmMvenYeIiY3gwo71adWmNg0aViO1ehKJSRUIC3OjlCI3J5/0/UfYvvUAa9fsYPHCzcz/aQN5uYU0alKNG2++hL7XtSc8LIwwXwrh3qp/rRe3JPkCEkKcDf5m26wsHyprOeRsIutoPh9MWcnYr35h445DxER5uKRVddo1qUyj2onUrFSBpNgwIlwGym+Rl1dA+oFsftt9hDW/HWTB2n3MXrWP7HwfsREurmlVjf/2bky0y4lWszWOZj3+Wi9uSdI2h7a/WZ/ztSPs0zfgpYCVy7cx4e0f+eHbFRQW+KjTsAot2tehwXk1qJ6WTGKlWKJjInA4Hfh8JtlH8jiw7zA7tqSzduV2flm4kY2rd+JyO7ioezP6DenE0nkbuGn4FdTx1CdG+wu9uCVJXRbnMAl0Rflg+mHj/yA7HWpeBPpfvHIZkK/y2a/2ka3vI+vQQUYMHEOHC+uyaN5mVv2yg8LCkydmiIzy0KJVLS64uAHdL21KnXqV0S03Yf5kPP4kdPU3T6IsP/w2F6KToW4vMP5eeYUQ4h9xittm5c9B5WyCnE0oq4AV69P59ufNzFm2naVr95JfcPIEQREeB63SEri4YTKXNq1Mjbhwhry7lIlP34MrrS1aeIW/tX/SNoe4U1ifFYocDpGp7+WoyiTnaD4/zVzD/Flr+GXxFnZtO/C7vyOlWjxNW9em3SWN6dClCVEVwokmBvOAizrxtXE4/kb9O0FdLvCZ3PD+EgDGD26Nxylr7IrQJS24KB+UBfvX2anwa1z4t39dmBZGda0mFqnM3TmHF18eSr2m8Ri6jjI1dm3PZPeuQ2QczKYg34ema4SFu0hIjCa1eiIpVWIABUrDMKPwFCThMuN+f9mgP0opOLQF8jOhTo9T8zuFEOJUO8Vts+aIRItpjqrQFC1vBy2ab6FF41RG4cc0LXbsy2LHniPsP5RDXp4XHUWY0yCpgofqCZFUi/WgmyZYGiqsElryeXx+2WMYDucpKCzSNoe6U1ifNTSiiCfKiqeQfA5H7SXmiji6X9kaS0FOTgE7tqaTsT+LrMN5+HwmTqdBZHQ4CckxVKuVRERUGEqBGw8xVCRRq4RHC4fkU1HWsuuypRSLt2UG7wsRyiTQFeWDbkDtzpC1G7RTlwxcx+CSZp0AUHkKU8/D1POon1pAvZoF+E2TDVu2oJRFvbQ6OHQHuunBKAjDMMPRlefUBbclaTqktocKVeyyCyFEefQPtc2aZkBETbSImihlgT8bhz+TmtGHqFnzMH5fAevXbwTLpH7tOjgMJzhj0dwVwZMInjh0Tdpm8Sf9Q/XZTRjJqhbJ1MJUfvI4Sl7kUSo3rYqXAgr9Jhs2b8HvM2lcvz7hjjAiiCScKMK1SBzaKbpQU5LUZSFk6LIoZ/7mvJk/6+CRHBLTmgFwYPMvJMT8jcRSf4XMnRFCnA2kbRah5Fyqz8fU5TyvnwYjZwCw7vFuhLukz0uELllHVwghhBBCCCFESJFAV5QPSkH+ESg8WrymYihTyi5r/pFzo7xCiLOTtM0ilJxL9VnqshAS6IpywvTBojGw8hM7U2Cos/x2WReNscsuhBDlkbTNIpScS/VZ6rIQkoxKlCOG49xayuFcK68Q4ux0rrVV51p5zzXn0vE9QVnDZEkhcY6QZFSifDnNCSJyc/OIrN4UgJztvxIREX5a318SngghzgrSNotQci7VZ6nL4hwmQ5eFEEIIIYQQQoQUCXSFEEIIIYQQQoQUCXRF+WD6YcM02Db3tCaIKDCtMu//4yy/XdYN0+yyCyFEeSRtswgl51J9PkFdLvCZDPpgCYM+WEKBzzw9+yLEGSKBrigflAX7foUDG05rGnzLKvv+P04pu6z7frXLLoQQ5ZG0zSKUnEv1+QR12VKK2RsPMnvjQSxJ0yNC3DmSdk6Ue7oBNS6ErD2gnQPXXzQdqrSCCpXtsgshRHkkbbMIJedSfZa6LIQEuqKc0A2o3uG0Z0I8Y3QDKjeXbIhCiPJN2mYRSs6l+ix1WQgZuiyEEEIIIYQQIrRIoCvKB6XAmwu+/NM6b+aMUcouqzf33CivEOLsJG2zCCXnUn2WuiyEBLqinDB9MP9VWPHhac2EeMZYfrus81+1yy6EEOWRtM0ilJxL9VnqshAS6AohhBBCCCGECC2aUjKeQZy7cnNziYyMBCAnJ4eIiIgzvEdCCCGkbRahROqzEGeG9OgKIYQQQgghhAgpEugKIYQQQgghhAgpEugKIYQQQgghhAgpjr/yj5RSHD169FTvixCnXW5ubvB+dnY2pmmewb0RQggB0jaL0CL1WYhTLyoqCk3TTvqav5SM6uDBgyQmJv7lHRNCCCGEEEIIIf6KrKwsoqOjT/qav9Sj63K5ANi1a9fvvoE4+2RnZ1O1alU5viFKjm/okmMb2uT4hjY5vqFNjm/okmN7ZkRFRf3ua/5SoFvUTRwdHS0HNITJ8Q1tcnxDlxzb0CbHN7TJ8Q1tcnxDlxzb8keSUQkhhBBCCCGECCkS6AohhBBCCCGECCl/KdB1u92MGjUKt9t9qvdHlANyfEObHN/QJcc2tMnxDW1yfEObHN/QJce2/PpLWZeFEEIIIYQQQojySoYuCyGEEEIIIYQIKRLoCiGEEEIIIYQIKRLoCiGEEEIIIYQIKRLoCiGEEEIIIYQIKX8p0H3jjTeoXr06Ho+HNm3asGTJklO9X+IU++mnn+jduzcpKSlomsaUKVNKPa+UYuTIkVSqVImwsDA6d+7M5s2bS70mMzOT/v37Ex0dTUxMDDfddBM5OTmnsRTiRJ5++mlatWpFVFQUiYmJXH755WzcuLHUawoKChg+fDgVK1YkMjKSq666iv3795d6zc6dO+nVqxfh4eEkJibyn//8B7/ffzqLIo4xZswYmjRpElyIvl27dnz33XfB5+W4hpbRo0ejaRojRowIPibH+Oz12GOPoWlaqa1evXrB5+XYnt327NnD9ddfT8WKFQkLC6Nx48YsW7Ys+LycW529qlevftzfrqZpDB8+HJC/3bPFnw50P/30U+6++25GjRrFihUraNq0Kd26dePAgQP/xP6JUyQ3N5emTZvyxhtvlPn8s88+y6uvvspbb73F4sWLiYiIoFu3bhQUFARf079/f9auXcvMmTP59ttv+emnn7jllltOVxHEScydO5fhw4ezaNEiZs6cic/no2vXruTm5gZfc9ddd/HNN9/w+eefM3fuXPbu3cuVV14ZfN40TXr16oXX62XBggWMHz+ecePGMXLkyDNRJBFQpUoVRo8ezfLly1m2bBkdO3akT58+rF27FpDjGkqWLl3K22+/TZMmTUo9Lsf47NawYUP27dsX3ObNmxd8To7t2evw4cN06NABp9PJd999x7p163jhhReIjY0NvkbOrc5eS5cuLfV3O3PmTAD69u0LyN/uWUP9Sa1bt1bDhw8P/myapkpJSVFPP/30n/1V4gwB1OTJk4M/W5alkpOT1XPPPRd87MiRI8rtdquJEycqpZRat26dAtTSpUuDr/nuu++Upmlqz549p23fxR9z4MABBai5c+cqpezj6XQ61eeffx58zfr16xWgFi5cqJRSatq0aUrXdZWenh58zZgxY1R0dLQqLCw8vQUQJxUbG6veffddOa4h5OjRoyotLU3NnDlTXXTRRerOO+9USsnf7tlu1KhRqmnTpmU+J8f27Hb//fer888//4TPy7lVaLnzzjtVrVq1lGVZ8rd7FvlTPbper5fly5fTuXPn4GO6rtO5c2cWLlx4qmJvcZpt27aN9PT0Use1QoUKtGnTJnhcFy5cSExMDC1btgy+pnPnzui6zuLFi0/7PouTy8rKAiAuLg6A5cuX4/P5Sh3jevXqUa1atVLHuHHjxiQlJQVf061bN7Kzs4O9h+LMMk2TSZMmkZubS7t27eS4hpDhw4fTq1evUscS5G83FGzevJmUlBRq1qxJ//792blzJyDH9mw3depUWrZsSd++fUlMTKRZs2a88847wefl3Cp0eL1eJkyYwODBg9E0Tf52zyJ/KtDNyMjANM1SBw0gKSmJ9PT0U7pj4vQpOnYnO67p6ekkJiaWet7hcBAXFyfHvpyxLIsRI0bQoUMHGjVqBNjHz+VyERMTU+q1xx7jsupA0XPizFm9ejWRkZG43W6GDh3K5MmTadCggRzXEDFp0iRWrFjB008/fdxzcozPbm3atGHcuHFMnz6dMWPGsG3bNi644AKOHj0qx/Ys99tvvzFmzBjS0tKYMWMGw4YN44477mD8+PGAnFuFkilTpnDkyBFuvPFGQNrls4njTO+AEOLUGj58OGvWrCk1D0yc3erWrcvKlSvJysriiy++4IYbbmDu3LlnerfEKbBr1y7uvPNOZs6cicfjOdO7I06xHj16BO83adKENm3akJqaymeffUZYWNgZ3DPxd1mWRcuWLXnqqacAaNasGWvWrOGtt97ihhtuOMN7J06l9957jx49epCSknKmd0X8SX+qRzc+Ph7DMI7LKrZ//36Sk5NP6Y6J06fo2J3suCYnJx+XcMzv95OZmSnHvhy5/fbb+fbbb5k9ezZVqlQJPp6cnIzX6+XIkSOlXn/sMS6rDhQ9J84cl8tF7dq1adGiBU8//TRNmzbllVdekeMaApYvX86BAwdo3rw5DocDh8PB3LlzefXVV3E4HCQlJckxDiExMTHUqVOHLVu2yN/vWa5SpUo0aNCg1GP169cPDk2Xc6vQsGPHDn744QeGDBkSfEz+ds8efyrQdblctGjRgh9//DH4mGVZ/Pjjj7Rr1+6U75w4PWrUqEFycnKp45qdnc3ixYuDx7Vdu3YcOXKE5cuXB18za9YsLMuiTZs2p32fRWlKKW6//XYmT57MrFmzqFGjRqnnW7RogdPpLHWMN27cyM6dO0sd49WrV5f60p05cybR0dHHfZmLM8uyLAoLC+W4hoBOnTqxevVqVq5cGdxatmxJ//79g/flGIeOnJwctm7dSqVKleTv9yzXoUOH45bx27RpE6mpqYCcW4WKDz74gMTERHr16hV8TP52zyJ/NnvVpEmTlNvtVuPGjVPr1q1Tt9xyi4qJiSmVVUyUP0ePHlW//PKL+uWXXxSgXnzxRfXLL7+oHTt2KKWUGj16tIqJiVFff/21WrVqlerTp4+qUaOGys/PD/6O7t27q2bNmqnFixerefPmqbS0NHXttdeeqSKJEoYNG6YqVKig5syZo/bt2xfc8vLygq8ZOnSoqlatmpo1a5ZatmyZateunWrXrl3web/frxo1aqS6du2qVq5cqaZPn64SEhLUgw8+eCaKJAIeeOABNXfuXLVt2za1atUq9cADDyhN09T333+vlJLjGopKZl1WSo7x2eyee+5Rc+bMUdu2bVPz589XnTt3VvHx8erAgQNKKTm2Z7MlS5Yoh8OhnnzySbV582b18ccfq/DwcDVhwoTga+Tc6uxmmqaqVq2auv/++497Tv52zw5/OtBVSqnXXntNVatWTblcLtW6dWu1aNGiU71f4hSbPXu2Ao7bbrjhBqWUnQb/0UcfVUlJScrtdqtOnTqpjRs3lvodhw4dUtdee62KjIxU0dHRatCgQero0aNnoDTiWGUdW0B98MEHwdfk5+er2267TcXGxqrw8HB1xRVXqH379pX6Pdu3b1c9evRQYWFhKj4+Xt1zzz3K5/Od5tKIkgYPHqxSU1OVy+VSCQkJqlOnTsEgVyk5rqHo2EBXjvHZ65prrlGVKlVSLpdLVa5cWV1zzTVqy5Ytwefl2J7dvvnmG9WoUSPldrtVvXr11NixY0s9L+dWZ7cZM2Yo4LhjppT87Z4tNKWUOiNdyUIIIYQQQgghxD/gT83RFUIIIYQQQgghyjsJdIUQQgghhBBChBQJdIUQQgghhBBChBQJdIUQQgghhBBChBQJdIUQQgghhBBChBQJdIUQQgghhBBChBQJdIUQQgghhBBChBQJdIUQQgghhBBChBQJdIUQQoiAG2+8kcsvv/yMvf+AAQN46qmn/rHfv27dOqpUqUJubu4/9h5CCCFEeaAppdSZ3gkhhBDin6Zp2kmfHzVqFHfddRdKKWJiYk7PTpXw66+/0rFjR3bs2EFkZOQ/9j5XX301TZs25dFHH/3H3kMIIYQ40yTQFUIIcU5IT08P3v/0008ZOXIkGzduDD4WGRn5jwaYv2fIkCE4HA7eeuutf/R9/ve//3HzzTezc+dOHA7HP/peQgghxJkiQ5eFEEKcE5KTk4NbhQoV0DSt1GORkZHHDV2++OKL+fe//82IESOIjY0lKSmJd955h9zcXAYNGkRUVBS1a9fmu+++K/Vea9asoUePHkRGRpKUlMSAAQPIyMg44b6ZpskXX3xB7969Sz1evXp1nnjiCQYOHEhkZCSpqalMnTqVgwcP0qdPHyIjI2nSpAnLli0L/psdO3bQu3dvYmNjiYiIoGHDhkybNi34fJcuXcjMzGTu3Ll/8xMVQgghyi8JdIUQQoiTGD9+PPHx8SxZsoR///vfDBs2jL59+9K+fXtWrFhB165dGTBgAHl5eQAcOXKEjh070qxZM5YtW8b06dPZv38//fr1O+F7rFq1iqysLFq2bHnccy+99BIdOnTgl19+oVevXgwYMICBAwdy/fXXs2LFCmrVqsXAgQMpGqA1fPhwCgsL+emnn1i9ejXPPPNMqZ5ql8vFeeedx88//3yKPykhhBCi/JBAVwghhDiJpk2b8sgjj5CWlsaDDz6Ix+MhPj6em2++mbS0NEaOHMmhQ4dYtWoVAK+//jrNmjXjqaeeol69ejRr1oz333+f2bNns2nTpjLfY8eOHRiGQWJi4nHP9ezZk1tvvTX4XtnZ2bRq1Yq+fftSp04d7r//ftavX8/+/fsB2LlzJx06dKBx48bUrFmTSy+9lAsvvLDU70xJSWHHjh2n+JMSQgghyg8JdIUQQoiTaNKkSfC+YRhUrFiRxo0bBx9LSkoC4MCBA4CdVGr27NnBOb+RkZHUq1cPgK1bt5b5Hvn5+bjd7jITZpV8/6L3Otn733HHHTzxxBN06NCBUaNGBQPwksLCwoI90EIIIUQokkBXCCGEOAmn01nqZ03TSj1WFJxalgVATk4OvXv3ZuXKlaW2zZs3H9ezWiQ+Pp68vDy8Xu9J37/ovU72/kOGDOG3335jwIABrF69mpYtW/Laa6+V+p2ZmZkkJCT8sQ9ACCGEOAtJoCuEEEKcQs2bN2ft2rVUr16d2rVrl9oiIiLK/DfnnXceYK9zeypUrVqVoUOH8tVXX3HPPffwzjvvlHp+zZo1NGvW7JS8lxBCCFEeSaArhBBCnELDhw8nMzOTa6+9lqVLl7J161ZmzJjBoEGDME2zzH+TkJBA8+bNmTdv3t9+/xEjRjBjxgy2bdvGihUrmD17NvXr1w8+v337dvbs2UPnzp3/9nsJIYQQ5ZUEukIIIcQplJKSwvz58zFNk65du9K4cWNGjBhBTEwMun7ir90hQ4bw8ccf/+33N02T4cOHU79+fbp3706dOnV48803g89PnDiRrl27kpqa+rffSwghhCivNFW0HoEQQgghzpj8/Hzq1q3Lp59+Srt27f6R9/B6vaSlpfHJJ5/QoUOHf+Q9hBBCiPJAenSFEEKIciAsLIwPP/yQjIyMf+w9du7cyUMPPSRBrhBCiJAnPbpCCCGEEEIIIUKK9OgKIYQQQgghhAgpEugKIYQQQgghhAgpEugKIYQQQgghhAgpEugKIYQQQgghhAgpEugKIYQQQgghhAgpEugKIYQQQgghhAgpEugKIYQQQgghhAgpEugKIYQQQgghhAgpEugKIYQQQgghhAgp/w8p3WfOXfKOwQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hmp.visu.plot_topo_timecourse(epoch_data, estimates_comb, positions, as_time=True, colorbar=False, magnify=0.75, )\n", "plt.vlines(avg_times,0,2, 'k')" ] }, { "cell_type": "markdown", "id": "38a7c4b1-4210-4c98-b124-98087aa812a3", "metadata": {}, "source": [ "In this case, we expect that the parameters are all shared, thus, the first event in A is moved to the second event of B as the first event in B is the second event in A." ] }, { "cell_type": "markdown", "id": "f4518d03-c5a0-4c40-a7eb-5e00afd4c7e5", "metadata": {}, "source": [ "Instead we can inform the model that we expect different topographies for the first two events" ] }, { "cell_type": "code", "execution_count": 10, "id": "1e3ea049-3b29-45b4-81a9-552ecea81909", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "group \"participant\" analyzed, with groups: ['a', 'b']\n", "\n", "Coded as follows: \n", "0: ['a']\n", "1: ['b']\n", "\n", "Channel map:\n", "0: [0 0 0]\n", "1: [1 1 0]\n", "\n", "Time map:\n", "0: [0 0 0 0]\n", "1: [0 0 0 0]\n", "Estimating 3 events model with 1 starting point(s)\n" ] } ], "source": [ "# testing grouping model with all parameters shared across participants\n", "channel_map = np.array([[0, 0, 0], # The two first events are not shared and will be estimated separatebly for both B and A\n", " [1, 1, 0]])\n", "time_map = np.array([[0, 0, 0, 0], # All events still share the same time parameters\n", " [0, 0, 0, 0]])\n", "grouping_dict = {'participant': ['a', 'b']} # Define participant groups\n", "\n", "# Fit the multilevel model with shared parameters and get estimates\n", "lkh_comb, estimates_comb = model.fit_transform(\n", " trial_data,\n", " time_map=time_map,\n", " channel_map=channel_map,\n", " grouping_dict=grouping_dict\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "id": "de12c081-4432-4683-abd4-773568f12390", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hmp.visu.plot_topo_timecourse(epoch_data, estimates_comb, positions, as_time=True, colorbar=False, magnify=0.75, )\n", "plt.vlines(avg_times,0,2, 'k')" ] }, { "cell_type": "markdown", "id": "58650059-8d06-46a3-9f90-34fa490dc26d", "metadata": {}, "source": [ "In this case we do indeed recover the correct events, quite close to the ground truth. The first two events are estimated separately for A and B, while the third event is shared across both participants which does help the model to get the correct amplitude and time for the third event. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }