{ "cells": [ { "cell_type": "code", "execution_count": 2, "id": "83a31da5", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import os, h5py\n", "import matplotlib.pyplot as plt\n", "from sklearn import decomposition\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "id": "06dca5bf", "metadata": {}, "outputs": [], "source": [ "source = '/home/sobolev/nevermind/Andrey/data'\n", "report = '/home/sobolev/nevermind/Andrey/analysis/AEPs'\n", "\n", "selected_sessions = [\n", "'009266_hippoSIT_2023-04-17_17-04-17', # ch17, 20 + 55 correction, 5067 events. Showcase for N2 / N3 mod in target\n", "'009266_hippoSIT_2023-04-18_10-10-37', # ch17, 10 + 55 correction, 5682 events\n", "'009266_hippoSIT_2023-04-18_17-03-10', # ch17, 6 + 55 correction, 5494 events: FIXME very weird 1-2nd in target, find out\n", "'009266_hippoSIT_2023-04-19_10-33-51', # ch17, 4 + 55 correction, 6424 events: very weird 1-2nd in target, find out\n", "'009266_hippoSIT_2023-04-20_08-57-39', # ch1, 1 + 55 correction, 6424 events. Showcase for N2 / N3 mod in target\n", "'009266_hippoSIT_2023-04-24_16-56-55', # ch17, 5 + 55* correction, 6165 events, frequency\n", "'009266_hippoSIT_2023-04-26_08-20-17', # ch17, 12 + 55* correction, 6095 events, duration - showcase for N2 \n", "'009266_hippoSIT_2023-05-02_12-22-14', # ch20, 10 + 55 correction, 5976 events, FIXME very weird 1-2nd in target, find out\n", "'009266_hippoSIT_2023-05-04_09-11-06', # ch17, 5 + 55* correction, 4487 events, coma session with baseline AEPs\n", "'009266_hippoSIT_2023-05-04_19-47-15', # ch20, 2 + 55 correction, 5678 events, duration\n", "]\n", "\n", "session = selected_sessions[0]\n", "\n", "animal = session.split('_')[0]\n", "sessionpath = os.path.join(source, animal, session)\n", "aeps_file = os.path.join(sessionpath, 'AEPs.h5')\n", "h5name = os.path.join(sessionpath, session + '.h5')" ] }, { "cell_type": "code", "execution_count": 4, "id": "b5a09f6a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5067" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with h5py.File(h5name, 'r') as f:\n", " tl = np.array(f['processed']['timeline']) # time, X, Y, speed, etc.\n", " trials = np.array(f['processed']['trial_idxs']) # t_start_idx, t_end_idx, x_tgt, y_tgt, r_tgt, result\n", " \n", "with h5py.File(aeps_file, 'r') as f:\n", " aeps = np.array(f['aeps'])\n", " aeps_events = np.array(f['aeps_events'])\n", " \n", "# TODO find better way. Remove outliers\n", "aeps[aeps > 5000] = 5000\n", "aeps[aeps < -5000] = -5000\n", "\n", "# load metrics\n", "AEP_metrics_lims = {}\n", "AEP_metrics_raw = {}\n", "AEP_metrics_norm = {}\n", "with h5py.File(aeps_file, 'r') as f:\n", " for metric_name in f['raw']:\n", " AEP_metrics_raw[metric_name] = np.array(f['raw'][metric_name])\n", " AEP_metrics_norm[metric_name] = np.array(f['norm'][metric_name])\n", " AEP_metrics_lims[metric_name] = [int(x) for x in f['raw'][metric_name].attrs['limits'].split(',')]\n", "\n", "len(aeps)" ] }, { "cell_type": "code", "execution_count": 554, "id": "9347b71b", "metadata": {}, "outputs": [], "source": [ "# do PCA on AEPS\n", "from sklearn import decomposition\n", "\n", "#fet_matrix = np.vstack(AEP_metrics_raw.values()).T\n", "fet_matrix = aeps\n", "\n", "pca = decomposition.PCA(n_components=3)\n", "pca.fit(fet_matrix)\n", "X = pca.transform(fet_matrix)\n", "# try normalized / not" ] }, { "cell_type": "code", "execution_count": 555, "id": "9d582fb9", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "ax.plot(pca.components_[0])\n", "ax.plot(pca.components_[1])\n", "ax.plot(pca.components_[2])\n", "for key, value in AEP_metrics_lims.items():\n", " ax.axvline(value[0], color='black', ls='--')\n", " ax.axvline(value[1], color='black', ls='--')" ] }, { "cell_type": "code", "execution_count": 526, "id": "96788e93", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "#_ = ax.hist2d(X[:, 1], X[:, 2], bins=30)\n", "_ = ax.scatter(X[:, 0], X[:, 1], alpha=0.3)" ] }, { "cell_type": "code", "execution_count": 68, "id": "610f169b", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "_ = ax.hist2d(X[:, 0], X[:, 1], bins=[np.linspace(-20000, 20000, 30), np.linspace(-15000, 15000, 30)])" ] }, { "cell_type": "code", "execution_count": 72, "id": "80d90026", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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U5v2zaOpQgZKCwumLnSemMVmu47YnT+LXu0YW+3AUErAgZg4+EzTvuxTG2FsYY1sZY1tHRk6dQVeznQUvrFaYOQSjdBoGSsk1Su2fi6okuZrPYFMwSroGQ1c1SgTZlnsh65QqkRqlpWYPfqJQhecBJwvzzyoJRqmkpHcKCqcrHNfDqt4sTJ1h32hpsQ9HIQHzGSid9GVz8P8f9h8/CmCd9Ly1/mPNHl8b83gDPM/7gud5l3ued/myZcvm5EssBP7llt34o/+8f7EPQ6FNVBeoWepSxFzUKMmMxnxK70I1SopREiDZIwBM1xZuo073TVfGAGNLj1EihnQh+qPZyvVOQeG0h+W4SBsazhjIYf9ocbEPRyEB8xko/RgAOde9AcCPpMf/2He/uwrAlC/RuxnAdYyxft/E4ToAN/t/KzDGrvLd7v5Yeq/fCpwsVDE8vTDaeIXZ43S2B5e/sxzkdBKEyIHSfErvZNc73a9R8jqspfpthHz+iwvIKFVtByldg64xpA1tVoHSV+/Zjzd+5cE5PLpAUrsQ9zXdL+W6s+SYNQUFhYWB43rQNYaNQ104MFpe7MNRSMBc2YP/N4D7AJzDGDvCGPtTAB8F8ELG2B4AL/B/B4CbAOwDsBfAfwL4CwDwPG8cwD8BeMj/90H/MfjP+aL/mqcA/HwujnupwHY8le0+hXA6N5ydE0ZJYjTmc1MqM0qmxkKPnc6oLJL0rma5yJh8ycmYurDZnwmeOF7A9sOTszqe7Ycn8albd4vfiVGqOy5qtoNHZvn+zSCPw0nlfKegcFrCdj0YuoaNQznsHyvBVevTkoQxF2/ied5rE/70/JjnegDenvA+Xwbw5ZjHtwK4YDbHuJRhOW7HrmEKiwdVo8Qx0z5K4UBpYVzvdJ2Jxwx93j7ylEBVOv/t1Ebe99QYnjxewJ88a+OsPrdSd5Ax+clPG1qoVq1TWI4367Hzk+3H8MW79+OvXrAZjLEgULJd/HT7cfyv723Htn94IfrzqVl9Thzk+2i8VMfK3sycf4aCgsLShu24MHxGqW67ODZVwdr+3GIflkIEC2LmoNActusp6+JTCAsp0VlqSHK9m6n0bmEYJQ3Gacwo1W0XX757vzjXFcuB6QeO020ESt//zRF87td7Z30cVVsOlPRZ2YNbjjtrIxBi02hMBJJaD5MVC64HlOdJFueGGCVVp6SgcDrCFtK7PAAo+d0ShQqUlgBsV0nvTiXUEvooFarWb717oWwDbs2BmUMntuKdgt6bapTm+/OWKh46MI4P/vQJPLifK5krlotlXWkA7TWdLdftOWH+qpaDrB8oZczZ1ShZjgvLcWdVc0ZGFjR261LtIY1te54Cefl+UU1nFRROTziuB1MPAiVl6LA0oQKlJQDbcZU29RSB43oikx3NaP/1tx7Bu7//6GIc1oLBCUnvZDOH9jeUJL1jbH7twUM1SkJ6d/qxgNQriWphKnUbvbkUDI21ZeZQrjtzEjBUpRqltKHPysTAdjx43uwYQmKUrMj9bDmuFDTNz7wsH/e4YpQUFE5L2A5nlFb0pJE1dWURvkShAqUlANvx4KgapVMCslwoKhsbKdZOOffCct3GP/7oMRTaYBaAsJOczAh0xijxDWpX2pi3jD0gHavOG84Cp6f0jhg8usYVy0EupaMrY7TFgJZrDqw5OG8Vy0FaqlGaDaMUBDUzP66CHygRy0jmEnUpUJqvwDpk5lDigdJLPnMXvnz3/rZef9OO4/jL/354Xo5NQUFhYWC7LgxNA2MMG4byOKACpSUJFSgtAViui9Mw0X1KoiYVoEcDpbrthup2TgVsOziBr913EPc/NdbW82mDl9K1js0c6raLj9z0JI5NVgEAPRlzXs0con2UgM4Cut8WEINXqFji96ypoztjtOV6V7bsOQloa5ZUozRL6R0FN7NhJKf980HjuEbMkh3UP82XVJPGpsY4o1S1HDx+rIAnjxfaev0du0bwi8dPzMuxKSj8NuLH24/hgz95Ys7f98jEzOuKHNeD4asderMGSrVTq1XAVMXCn3z1IQwXqot9KPMKFSgtATiud1pKgk5FVO1kxza5tuFUwbifzY42vizVbBwca8xuUaCRMrRQUNhOALLj6CT+4859+OHDvF90T9acV+md7HpnnMY1So2MkouMqaMrbbYXKNUduB5mLQ+uWi6yZA8+B2YO8v8zATFKVkyNUsAozc94ofcdyKcwWbYw4jPR7TK7Y6Ua6raSbCsotIs7do3gx9uPzul77jgyhWf98+3YeaK9BEcUluOJJJ6pa/O6Hs4Hdp+cxq92DuPRI1OLfSjzChUoLRJuefwEXvpvd8Nxuc2t6+G0b4ZZri99IwTZ0jjKHlmOd8oxShQojZfCG7Qv3rUfr/zcvQ3Pd+RASWaU2ghARov8s/aO8ILVnsz8Su9CrnencY2SCJQq/P6qWg6yKR3daQPFWhtmDn6Wc7ZBQ8j1zpylPbh/LLMJlMjIgsag7HpHP8/X+KSavqGuNEaLNZz0M7J0jVqB7qVTbWOloLBYsBx3VnNOHIan+X07VpxZnSE1nAV4oHSqrU+106RVigqUFgm7Tkxjx9Ep1OygUPp0Tg4OF6q45AO34v597UnAFgvNapTsU5BRmhCBUri2arRYw1SlcRNtS9I7WW7XTo0dBWWex1meXEpfuD5Kp3GNEvVNmgpJ77T2pXd+AmO2i3il7iBjzJE9OAU19syuZ912Q4ERPUb/W3NQA9UMNE2cMZDD0ckKThY6Z5SAsBRYoTn+9bbd+Icf7ljsw1BYJPBAaW6lbRR4zTRBarsuDJ1vw02dzXg+WyzUnaCu87cZKlBaJNgiIxr0UDodN3GEwxMV1B0XRyYqi30oTVFtVqN0KjJK5XhGqWI5sF2vgeWkTHja0CKPtx67Y8UgGMuaOsxIndNcg47VkKR38xmYLVXEmTlkzQ7MHOrUN2y20jtHcr3TZrXJjzrVdQrZFt1ywpsd2cxhvuZkGpvrB3M4MlHB8Sk+77UdKPkZ7Oosgs3TDb85NImtByYW+zAa4Hkedp2YXuzD+K0H7bXmkiWmZM9M5yHbDUvvrFOUUTrV9j2dQgVKiwTXC6QjlmCUTr9NHIE2CHOd8ekUnufhz/9rG+7YPRL796rVvEbpVMusJNUokQFAdKNINT6pSKDUjixrVJInZFPzHyjJfZRO54azgfQuCJQyKR1d6daMUt12xbWd7QajarvIpKiPkj47M4dZSu8K0vcWrnfUSFoyZZmvjQttkNYN5FC3XTx+jNc4TLXRU6lSd0TweqozStsPT+LhQwsTvNjO0jTb+c2hCbzoX+/EE8dmVuei0B6siMR2LlCdpfSM7MEBzPt6OB9IapXy2wYVKC0SHLH5CJrNno6OXATaxC12oFSzXfz8sRO4L8EFTj6+6ORgLfJC7Lge/vjLD+KevaNtv4YCpbFSJFCy4utS5Bql8OOtv7f8GZxRYvM65kWNks6gn8Y1SrSpLlRt3gfMdpE1dR6stLjfKGAGZjc/0ecG0jttVve6bLwwE4QYJTecFZUTHvPmeufxDdK6/hwA3hQYAKZrdkuDhjFJJjsb+eJSwF9/+xH835ueXJDPshx3TjfJcwUy8qB6F4X5Ac0Vc7nHEIzSDMeV43owtaUnvfM8Dzc/fqLl/KoYJYV5hRNilJT0jgKlxV7IaFOZVOQe6h0UFygtYmalVLdx5+4R3PtU+4HShC+5m4gESlSX0sAoSTVKBFNnbW0ox0s1LOtOA+CBkqFrotZkPkDHapzmjFJVYpToZ37+Wcv+SCXJYGU22U7aUGQifZRmamBDAe/MA6VGRknuzVSfbzMHP5O8boAHSiQ59jyg2MLURi4cn+vi9IXEvpEi9o2WUFwgS2TL8ZZkxp7WnHL91A56lzoC5nj+GaXdJ6fxo0daO+zZriuSeEvJzGHniWm89evbcPvO4abPqzmzm4dPFahAaZFALmGW44qb43S2ep1aIoxSya/ZKCZIkpKkd57n+Qvx4l1DOrbxUvsOPMTyRAOlihVvjxzHKEWNHRI/q1jHxWv7kDE1ZEh6twCMkq5pp3eNkmTmQExhNqXD1LSWgYC8eZtNkEkbClGj5AdMM00sBAYMMzumuBolyo7WpD5K8zU+bd/tam1/tuFvhRgTFRm/LYzSr/xN2ELN+YudyEpCSSTnlr7r66mM+nwySpF15cZ7D+C9P2htHBKtUVoqzAyxnK3GpGjSvUSOe76gAqVFQsAoeSLT0Y5z2G8rFipQ+p+Hj+B1X3wg8e+0MUyq3ahJGz550ZUNORaLtaBja9eq1PM8TJTr0DWG6Zodmuwq5HQWdfbzv5ts5pA29bZrlJZ1p3DOyh70ZU2kdDa/NUoyo6SfvowSBUc128WkXwNDjJLrNT8n5RCjNJtAKWCygGD8zJQRmW0fJblGKWoMIUto25GUzgSuxzdIGVPHcp9lXd2b4cfWwiJcrvVbbAZ+NvjlkzxQWqi2EPYSNduhubakAqV5RSC9m3tGKTquJisWSnWn5XrjOJ5I4pk6WzKJPKpZrrTYjwU1SkvjuOcLKlBaJBB7pBgljqDHy/wuZI8emcK9T40mSn5IajSdsGhRBqk7Y4ZkY/KGbbFoaNo0tcsoUc3Kel/+Ixs60ATZaObAPyPKKLUyInFdHpQN5tP49B9cgn962QXzLr2jTa5sD75UpA0LiYp0T1EdBJlpAM3HazlUozTzc0fjKeijxP+fKSNCxzzTY5JZGyG9i2k4O18bF2KUAAj53eYV3QAQa8svYywUKJ2ajFKhauGhA+NgLFwHN59Y7BrSJJRqSnqXBNf18LFf7BSukLMB3edz6RQpDGAicyjNL60YGct1RRLPWELSO1KYtNqPqRolhXmFXKOkGKWFY5TqtgvXS87EUnPNZOkdf113xggHR5IEaLGyvEJ6V24vUKKA6szlXaHfAaBSj5feiRolvygfAEyjdY3SVMWC43oY7Ephw1AeZwzm5l16JzNKVDA7X8X5C42q5YTkY02fK23Ahv1+PWSmATQ3aQiZOcwBoyTbgwMzd22zZy29k2qU3LAb1kzNHH70yFG8pw25DRDUKAHAOl9+d/YKfh+2sgiXbfZP1RqlfSMl2K6Hs5Z1Ldh3sFzu4LjUEpKURFDSu0Ycmajgc79+Crc9GdTKvPnGh/CJm3d1/F5Rie1cQNQo2TMLlKINZy2nsSXHYmC83N5+jOZMFSgpzAtojy33Ufpt2cTNBCJQmucbjm7opCwmMUpJExxNHN1pI5Rtrp+CjBI97yw/UJoIBUrxZg5OnPTO0FtKDKiuYrArLR4z51l6F9QoyYzSb8c99tGf72wqIZVRtmz050wAwMmCzyiZupB8NKtTmiszh6BGSQ/9P5OkgucFc+ZcmDnUI4xSXbIH7yTDe/vOYdz8+Im2nut4geRGMErLOaPUukapDsaH8ynLKFGwd8ZADnXHnTfTDBmUzFpqdUrlU0h6N1muY+/wwvV8ovlHdud85PAUdp9s7xj2jRTx6dv2wPO8oEZpHhil6JgiaW9SwpVgux5Mf21K+YmrpSC/mywTo9RCejdL99FTBSpQWiSQLEgeiKqP0gIwSv4NXU74nEqLwtqa7UL3awvCNUrBz4uVXaFJe7JstbXxEIzSMp9R8idHz/NEljM6AdIG1dTD0rtWG0qSCw3mU+IxU9fgNamR+eBPnsBnb9/b8nskgRIPhqb91tUoHRov4+B4ua3nVuouVvTw+pcTfqDEzTRaL8zlObIHr0Wld6JGqfP7XT7eThbonScK2DdSBBA2c6B7RWRHQ6537X/nqYrVtpRUziRTomLL6h4A4fqpOIwWa6Ku6VTto0TzAQWJrWoh5gI0Ry25QMlXMZQWyP1vNvjcr5/C67744IJ9HgWRtC57nofJcr3thOrPHzuBT922G8WaHbjezaWZgxU/pijx24z1d1wPnsfNhgAuvQOWhjx8vNReoDRbe/RTBSpQWiTQfSUvEL8tm7iZYCGld0DAmEQhGKUmrncZQ0PK0BKld4sWKEmbpok2GldORBglmhxrvjwRiGOUXBgagxQnIWW0dr0jd73BriBQMsRGPf583bN3FFv9/jIzgWCU9MAefLEWoYcOjOOTt+6eM1lFoWJhqmK1JSOqWo4IlGTpXTsLc1lKGMyG8W6oUSLp3QzulZnWA773BzvwoZ/xnj3TVRt5v/ltQ8NZqQl4J+NlqmK13aBWrlF6yYWr8MO3PxPnrfIDpRaM0nipjtV9XK63EI5xDx+awEd/vnNO33PEZ5TI9W8hAqX6EpUJUTLiVGCUxkv1tqXdcwEKHokFKtZs2K7XdrAju7LNR8PZuEDB87wgUGpyTWluMSR7cAANvZQWQypKpj8tzRwUozQ3YIwdYIztYIw9whjb6j82wBi7lTG2x/+/33+cMcY+wxjbyxh7lDF2mfQ+b/Cfv4cx9ob5Pu75BrFHC80obT0wjq/es3/eP6dT0MQy3xlSurGTCmcpu1d33NhNSNV2kDb1hi7aS0N6FxxvO/I7WvA2DuVDr5G/d1yNkq4x6KT9AQ+UWrENJLUZzAfSu1QLM4Gq7cyKxQj3UVrcGqUfPXIUn/nlHnzxrrm596YqFjwv2Z2RQOzgih5+3sPSOz94bMYohcbCXEjvNPH5wMwK+cP3XWeMD80zhaqFAT9oj204OwMzh6mK1fb4clxXBEqGruGSdX3QNYbutNGWmQMFSgtRD/mLx07g83c8Nac1NGPFOvIpHf05fg06GQdVy5mRVI/mg6UWKFFyrrRA7n+zQdVyULfdBUvqUvBINbPU96/dcV8VLLE7L/bgcX2UypLbXTPpnSOtT4AkvXPl97LxtA/dip/vOB77Hl+48yk8fGhiFt8gHuPtmjn457emAqU5wXM9z7vE87zL/d/fDeCXnudtBvBL/3cAeDGAzf6/twD4d4AHVgDeB+DpAK4E8D4Krk5V0E0S7lMy/5/7na2H8fEZFELOJ1zXE4vwfGcWhfSuRY0SEC+/q1ouMobW0EVbnigXy8xB/ly510oSxkt1pA0NPRkDPRlDMEzNeudwO1MGTQsCpXQbjNJokddVUK0MECwQSZvRmuXOKrAJud4tsvSOFvp//sVOPHGsMOv3I6nqZKUxIC5ULew6wTX8lsPt6lf6jNLhCS7Xa9f1bq7NHChA6soYAGZWwB6S3nVwr1Xqjth4TVdtDPibdMtvfCvMHGxXLPydSe94trsd1tCR+qfI6MmaLc0cxkt1YSW+EHMNXaMTc+A8Rhgr1TDYlUbOZ/U6mfdf8pm78Pk7nur4M4UN/BILlCqnEKNE9/FC9b6iHlM0PsiZte1ASWKUhOvdHCZjBQst7QXkREezRBbNY3LChD8eHN/BsTImyhb2jZYaXu95Hj72i134wW9aN7btFBMd1igttXtqrrFY0ruXAbjR//lGAC+XHv+ax3E/gD7G2CoALwJwq+d5457nTQC4FcD1C3zMcwrasFXmyH63XZRqDkp1Z0kN7OmqDdpbzPcEXBPSuwRGSXo8mg2aqlio2S4yMYySPcO6ibmEfO7aYpRKdQzkU2CMYbArLeRxlQ4ZpbTPKI0Waxj2GYu4z+rLmmIxAADTaG4mULNb96FoBjp2ncnSu0UKlCwbK3sy8AD8bMex0N+myhZue+JkR+9HdvqTMRLLL9+9H6/43D1wXU+M895cCilDw8lCDWev6MKyrrSQfDQ7J3LdxKzMHOyw9K47zQPmdp37ZMxUele2HLHpn65a6Pfr5Ww33Ci67nRu5sDlNnXxfq3guB40lhAoNemjVLMd1B0XfbkUDI0tyIaVNvDHJuPv7Th88pZdeO//JDsAjhXrGOpKIZPqnFk8PF6J3Tg2AzUEB5ZgjZIIlJZ+jRKtDQtlZU41StWGQKm9z6/GSu/mnlGSx5Sc6CjWmtcoAQg1nAXCQdfRiYr/OY3HXKpzxcVkCwZ6Jmg3UEqyR6fX3vDpu3D/vrE5P76FxkIESh6AWxhj2xhjb/EfW+F5HnGJJwCs8H9eA+Cw9Noj/mNJj5+yEIGSLL1bgPmbNgpxmejFgjyxzKUjTRxaSe/krJ6c7d56YByX/dOtePzoFFKGhpQebjgb+nkJMEoTbQRKpZqNbj+z350xAlYvxCKEv4vjejB0TWTBAD7Bu66H9/5gB9713e2xn0VBmQyy7E7auNRsd1bJA74ZBTRt8WuUKnUHy3vSuGhtL+57KrxwfPme/fizr29tm12p266YN+IWybFiHeW6g/FyXTwva+royfDg5J3PPxuaxsTC3Gy8VizZRnsWNUr+mMr4tvLds2CUZpqUKEcZJX88Wo4XGoPyhrXd71yxHLERb3ZMP3z4KEaLNdiuJwJVGT0ZoymjRNLgXEpH2tAWiFHin9lJL5vfHJrEg/uT6wtHi5xR6lSCafsSqlZ1XA2vk67jUkoSAkEwcCrYg9N1WjBGqRb+PEoMtSvRpx5yVcsVY2A+GCV5/piSklfNpHdBjVLQcBYIS++OTvJ7Lm6/QszV5BzUjD12dAr/+3vb4fjJtap03pqh3oSlHS7U8MTxAn70yNwzXguNhQiUnuV53mXgsrq3M8aukf/ocZ3CnKR5GWNvYYxtZYxtHRkZmYu3nDc4MTVKC9FHiTYKcZnoxQLd8ENdqYYbc7xUx692dpZtb4YgUIqfwOQJSabNj0xU4Lge9o2WYhml8M+Lw1rIi8dYG4FSzXaRNoLiemF00QajFJXe2a6H4elaqGmtjIlyXdQjEEyjhfRullp42w0smBe7Rqlcd5AxdVy9aRCPHpkKBeSPH5uC5yWPySjkjXTcIknvPVyoiWuZS+kY6krh3JXdePEFKwGgrT5Kc8Uo0YY+7dcokfSuVY1VHMIJiubX896nRvGtBw/BcbmTHUl5pqu2cGC0HVcUfacNLTz+HRe3PnES7/7+o00/R5bbJI3nYs3GX337Efzw4aMh1zsZnFFKnptpM51PG8iY+oLYg8+EUapYTtNN4qjPKHUqvaPnNWPd4mBHGMOlBFpz2r3/FxO0Pi+E+QYgud7NklGSJfXzUqMkBQqya2VTMwcngVGSxucRXyodGyj5e7hWNY3t4K49o/jO1iM4UajGNp4PH7eLN9/4ELYdnBB7jri1gc55NDF4KmLeAyXP8476/w8D+B/wGqOTvqQO/v/UTewogHXSy9f6jyU9Hv2sL3ied7nneZcvW7Zsrr/KnIKcTJrVg8wHaKFth3GYCRzXw4EOZRF0oy/rzjRMYt/dehh/euPWOZvcaJFMmujLCTVK8nXKmBpMgyXaFNedxZFQ0DnqShttSe9qtiPcx1JSdrrSrEaJXO8iZg6O66FctxOzteOlupA6EWhhiJPe2Q4PkmbDYsib0cWuUapaDnIpHVefOQjb9fCQ5OZHNUvVensbOHkjHbdI0rgdKdYCJsfU8enXXIovvuFyEeS200epXHeEO9xszl2l7oCxwO3O1DVkTG1mjJIbn6CIw38/eBj/etsecV/XbRfFmi3ka/QeNC90pY3Q6y3Hw917RvDtrYebnif5OiQ9jzZTlADQY6R3vS0CJZqH8ikDaUNbkGattOHphFGS2bsoXNfDeKmGIZlR6jBQ6nRzuBQY/yScStI7WmNmYsIyE9A5oc+b6JBREoFSTQ6U5plR8scmY80TQXKfPyBBeuczSnEuvfQ5ScnJTkD3xLHJitg7MBYfVE6ULdz25DAe2D/WlFGiOffAWLmjuWMpYl4DJcZYnjHWTT8DuA7AYwB+DICc694A4Ef+zz8G8Me++91VAKZ8id7NAK5jjPX7Jg7X+Y+dsqANYEh6txCMkj9427GPngl+/thxvOCTd3REB9PGYEVPumECLNcdeN7cZYFaut7VHSHJkesn5AAqbTRnlOr2IjFKfo+n5d3p9hglyxUZ/rQRZKeb9c6JY5S4652LUi259m2ybIWMHIBgox6X4aWgbVaMkhMUzAvjiEWS3pXrDrKmjsvXD8DUGe7zddsTpTqOTfFMfbuyU3mTGMcM0/UbLlQD6V1Kxzkru7G2PyeeZ7TRR6li2ejJ8us2GzbuRKGK5d1pMCk46M6YM6tRkk1UWmx6axbfsMsbOzIl6MkYMDQGyw36JhHTRbBdHkR5HpraIstym6TgXm6SaycxShmzaR+lgFHSkTb1hZHeVSlQap9RqloOinU71thiolyH6/GealSz1m7NC13HVoYXUdhLNFDyPJ5g0li4Nm6pguaThWaUAuldZ2YOtJ+QEzLzUaNkxQRKy7vTLaR34Z6EsdK7iWTpnTD0mYO9HCV3j01WxPst60rH7rvoHizXHKmPVON9Lgf+pzqrNN+M0goAdzPGtgN4EMDPPM/7BYCPAnghY2wPgBf4vwPATQD2AdgL4D8B/AUAeJ43DuCfADzk//ug/9gpC2EPPkeuUu2CBu9UpEbp4zfvxC8ea6+rfDMMF7j+Pi5T7Loebt853LB40sSyojuDuhOWWzXLWMwE7dQoUTNH+TvIN33G5DVKSXK7xZJ2VC3OEPXnUxgvdi69qwldcvMaJVPXImYOOhz/msddJ8/zMF5uZJRSRrI9NR0DneM//M/78Z2thxue1wyO6womiQIlZ5GkdxXLQTalI5vScfHaPlG/8cTxwAGv3WSAvJGOWyRp3A5P1xrc5mSYbfRRKtUc9PqBUrtB5tYD4w33+MGxEtYP5kOPdaeN2KCgajl441cexJ6T07Hvb3XAKFVtF6W6LSR3QLDh786YMHWNS+8oUIowSo4buOGNTCc7Scq1YklzFZ1ny3HhJtQo9WZNFGt24veijWM+bfj37PxvWItCetd+VrjiJ7ji5tmgp1rgetfu2J8poxSan5dQMEI96wa7+Jqz1OV37TJKruvNiakR3bcUkFCCt+7fQzLu3Tva8JnVmOTfvDBKsvTOH5urerNNGXNaWxsZpcYapbjANGhqa8/ILl8G3R9HJioiIbSqLxt7ruhYiJkHgHpM8CmPZRUoNYHnefs8z7vY/3e+53kf9h8f8zzv+Z7nbfY87wUU9Phud2/3PO9Mz/Mu9Dxvq/ReX/Y87yz/31fm87jnEkcmynjb17dh20HudU+St1gzhwVglIT0LrLB+uYDh3DL47MPlOj7xO2p7to7ijd99SH8JuL7LzIwfq8XOeNTl+QqcwEhvWtSo7TSt96VafOyVNQe1CjFS+8s28VPHz2WuNGbL/DAR8NAPtWx9E4uDG+HUYo2nLUcDyVp4pRR8XtvRGuUiFGKW1CjjNLWgxN4qElxeBxsyYJZX2zXO59RAoAL1vRi14lpuK4XsgpvV84iS7PiTFlIZjIyXRPXkjakMtrpo1SpO8IEop1EzraDE3jV5+9rWBgPjJWxYTAXeqw7Y8RmXI9NVvDrXSO4e+9o7GfIG4lWNUo1y4HrAeOSXf4JP1DqyRowdC6hrScESpYTBEqjTZIPIemdP8YOjpXw2i/cL1gzW5g9eP591Lj8DuT5uU6S09C1zacMpE1d9ImZLZ4aKSZuZugzj09VQwHwvpFioqSmEiN5Ioz6PdWGutLIduh6F9TzOB1txJN63i026Pss62pMzi1FtMsofeKWXXjF5+6Z9edRw+tKhFEC+HX83rYjODRWxuHxMv7wiw/g55Fkb6z0bo4YJc/zJNe7sD14d9pAb7Y5Yy73+QPkGqWgfp3mnFhGSZpzmrHQ7UCW3tE5Xt3bWAoByM6HdtDQN65GyU8un7W8CzuOTs3q+BYbi2UPftqgajn4xeMncGyyggf3j+PyD9+G41OVhD5K87uJkxspRhfict2ZE8tPWvDijCmO+9mRo5Gi4ELVgq4xIXmTsxjCp3+OFreWjFLdRn8uhZQerp8o1xz05UxsGspjZU8Gps7rchxJTiM+w3Hxnh/swI33HZiTY24XNZsbBvTnzLZcDSmwAsLSO3kRbKePUkowE15stpaCtoGomUNkYYgeG70nwLNvtMFqF3KNEvMtwhfL9a5cd0Swcs7KbpTrDo5MVMKMUpub3qCmLx2SfMmfBQDD04H0LtOEUWq24SzVbfRkjZbPIzxxjC+Io1KgXqzZGJmuNTBKXRkjdiNB42E4gcFJSlDEoRrDBp2IMkpuMqNkS3NmM0apEFOj9MjhSdy3bwyHxnlBtjxX8BqlxvcZ8BsyU2PNKGjzkU/rc8ooffZXe/Gu7zzS8Ljreij5dWrluhPakP3Vtx/B/71pZ+z7yVnnKMb8zd9QV0q4IHYqvQPQkfPdTC3l5wp37h7BxR+4pWG8U9Z9ma9iWMp1Sq4bBAatAtvHjhXw+LHCrCXz0f6K8r6lXHfwt9/dju9tOyyeR1I1QjVOejdHjFI9khwlFKoWerImujMGpms2qpYTe76EPbg/DxsR6d1RicFt5noHzL5Oib6LXKO0oicTGxDTmC3VHPE6K6bcgJ63pi87I9OepQQVKM0z5Kz5iUIVjuthrFgX7FGocD4muPj+tiO4/l/vnJNjkbMqk9JCTPKSpM7g/3X/QXxv25HQY7bj4l3f2S4aWxLoxooL+mijG+21M13lNtWUcZcnV9H7YI4mNxEMJNUo1fiGtitj4NhkBa/74gPYO1xEqW4jnzLww3c8E++67hzJsa1xoqjbLko1W1j5RnFsstLxpr8dVC0e+ORSRlsbj5olSe/MgFEKSe9a9FFiLNBWA/EBLcnD+iI1SkKTHcsoBePIdT24Hjcn6ASy6x3AWaXFYJQ8z/Old3wTfs7KbgDAkycKeOzolGgG2770jp/PMwZysfbgRYlRImlvNo5RasP1LsQotXHudp8sAggywQBnVgBgQ4P0zozdSNN4OCnNE2/7+jb8h99ktBPpHQUSIxIbdEwESn6Nku2J8ZaPMkpS8N/sno1zvaN7kJgkOxooxTBK/T6jlMQIl6LSuzlilKYqVmwNVtk/f2et4GNWZpDGS/XYWlRHOmdx15fO42BXGprGkDG19qV3cqDUweZLHrvtnLOnRoq44dN3zYn1MsCZ1qmK1XBdBaNEgdISlt7J560Vo3R8sgLPAw6MdWbsFAWdH5rH5AQCncuaE/RIGp4O7y2qgv0IjneuapRCCV25j1IlCJSKVRt/851H8Lb/2tbwejpmYpRSEekdBX0rezJNzRyA2dcpBYxSFeOlOnoyBrrSBqqW0yCjlp0EgxqlGEZJGttLXVLaCipQmmcETTU9cQPIbl7hPkqNG5GdJwrYeWJ6TnTV8qIlMw40iJM219966BC+G6kPOTJRwfd/cwT3PhWWxwjpXUzQRxnZaKa47jMbmZhAaS4ZJVdqLNnMzCGf5pPEbU+cxN17R/GbgxOo+IxAT8YUfZQAKVCSNm/TVQtugj4fAP7yvx/GP/30iZbH++GfPYFvPnCo7e/HpXS8DqYdKUvNdiQzB01i26TeOZHzbpPrHUnaGAtt+ORxet9TY3jjVx4U172hj1KTGhmagG3pXmmW0Y9D1ILZ0Nii1CjRgkqJgHP8Teevd41gz3AR15w95D+vXemdjZShYWVPpmEj53leYA8+HdiDN6tRahZslOuOZObQ+h7c7ctNi6FAiTMq6yPSO84oNS6gdK/T9Z6uWrj5iRNCiidnb1sGSrGMEt+AEKNkuW6imYMjyfKajb+w9C7MWtPvokbJ5ky0EWPmQPdIYqBEjFKK24PPlckNz3y7De9HY+msZV0AgOOSGqBcd2ITWPJ7JDFKusbQ54+rrKm3zSiVpffupE5JnpfaWUt3HJnCE8cLgg2cLQ777xP97IZAaQlL7+Tr2mrcUR3g/pHZBUoUOJJcbrJcFwk3YlEs25MCpfA9Wo1hNufqnpEDLisUKNki0Jiu2njowESs9CzJ9Y7WO2KUNq/oaskoRWvOO4UlMUrbD0/irOVdyKZ0uF6j4qPiu7OWaw5qIlHceE+VazYY43PaQjUoni+oQGmeYfo3Qd1xpQXTE0FRs541QDCRzoUdpzxY5RqlwJ40fpKu1J2GTBdl96PZOcr8xDNK/GY+GWGU6o4LQ+N2wUA4U0M34lwEinKwVY6ZLB3Xz/ybOrrShsiIFKoWSnUHOSnbHJWNyRMFndu4zwD4Jqgd18GbHz+JO3e33w+sZrvImBpypp4og4s+Pyy9I1lF8LromKTggyZ3uZkrALhesKF+6MA4fr1rBNuPTAKAsGMmEKMR5xJYCyUV+M9jxXpsMiEJdmQzaugabn3yJF786btmXfzaCeReRgBnA84YyOH7v+Es7Q0XrgLQ/gI+VbHQkzHRmzMbNou8Sa8HxrixCt3bsYGSlix9BHhioWI56PGDh1aMkud5IlCSJUSUVY4GSkk1SnQvDRf4HPPoEd5nijZftrTBaOUwSec0FCj579udMWDqDLYUDHVHpXduYB3ejFGSM7q06aAsMJ3foEaJrwVxrnckT01y2CvVuENaxtRCyY3Zgq5DVM5GG8yzV/BAifq6ADyhElfvIa8zcVKy41NVDHWlhHw3a+otGYqazescZfOjTqR3nTacpe9tOTx4fGqk2PZnxeGwf96i66WQ3nUFgdJc9MWZD8jXKMmF7d6nRlGoWuL87euwVUgUpMqwHO4OWKo7goGnem9eUuAn0wqRQMk/3/LeplMW1nE97B1uvP6UJNBYeP2fqljozZroSpuoWA5GpmsYL9UbrquoUSLDoYjCgiTCG4fysfu/qYolGnfPFaM0XbOx/cgUrjl7mdgbRO9N+n1aMm+qJTBK+ZSBfMrg69ISqg3sFCpQmmfIWVsq+HNcT8js5BsgbhM4l3acNHllTC2UiZYLZONQtdyGBY82HtGMYjPpnWCUIpOZ5XhIGRrSxCjFmDnMdaAUR2XTsefTeiizPF21Ua7ZyEmbzWg2Xt5s0qSVZBhRs91Yl5go5P4u7YC73ultF0hHXe8c14PtuKhIxhXR68gtt7UIoxTe8EV7Vf3m0CSARkYpysqFj41kS0FHddv1YqVmSXAim1FDYzg4VsaTxwshF7T5Bm2G5GDlnJXdqNsu1g1kceGaXgDtuzFxDbyBviwPlGRpBN3Dq3uzqFiO2NxTEkKGkN4ljDG6fl0ZAxprbeYwWgwSAHJi5eBoGUNdKXRnwtLL7rSBYt1umPfoXjrpy2ge9s1fuJwnyB7nUvqMGSXGgK6UASNSo9QgvZsBo0THH50LRY2SX9sYFyiRM2RSnzuSADPGQsmN2WK65lsNR+4v2mBuWtaF3qyJJ45Pi+8Sx0ABUUap8X7dN1rEpqEu8Xs21TpQesc3H8a7v/9oiO3uJKDo1MyB1sq67eE7Ww/jJZ+5a1aSrcPjnB1oCJRqYUbpK/ccwKUfvAXfj0jdlwLkaxR3vb527wH80RcfwGMSe7JvjhglIGh4TGZLglFKkN65UrIwYGI7Z2F/8dgJXPepOxoSvDQeutJGQx+lXl96JyPaXzJoOOv3MvTXQ1m2mk/xpG05RgJXqFgi+TRXgRLhmrOXCYUPyZff9vVt+OYDh8S+hvaQhsZQt92G4yvXbeRSOvJpvw5xgSzl5wMqUJpnBJsRT2xIbNcF3VehwvkYuZrwrJ+hxvNkoSoWFFr01vRlQ4wGPZ70GRXLaZBQiEApsnjQRi1Wekc1ShEdse24MHUmCnvjpXezv8nkySAuKKS6ilzKCGWWp6u2L8mTAyViQxqlgTSBJAWeNdtp2ruGIJtvtIOazfsi5fxaGNmpLwpq6Eob6JSfParZrpAZAsmMksYC2+2ozTEdM43dhw9NgDEIm2mC0UR6V5Wld9K56qS2y3bCm1H554Us6BYW3VKd0Ll+ndLzzlkeBLZtS+84o9SXM/1Mq5zB59d8wxBfQA+OlZA19VD/IkJQPBw/FmmTkvUDilb24LLLozxfHIixBge49M3zgGJk3qFrM1m2ULMdPOwH2iXfTIDunXYCJcEoSeNmomyhK20INrRux7ve5VI6Z5TarFGiQNiOyHstJxjLAM8+O1689M7UNXRnkhtGl2q2COY6qe0BuLnEVqnRsQxilKLBB13HrrSBC9b0iE0wjdVm9sH89eHj8zwPTw0XcdbySKDUInFxcKyEfaMlVKTP66SXUrjPXet7n+6juuNivFTnQWGbDaGjqFoOTvib7AbpnRUOlB7YPw7XA9713e24fefwjD6vHfzX/Qdx047jHb1GvkZx12v3ySI8D+K4cykd+0dnzsTxHlOOkNoRwyIYJckqPE56Jydc6Xp2Z8yO7cGHp6twveDzxfv779OdMcP24L6ZQ1TGG63XonUvSXpXrPJ7PZfi7TeiAf5UxcK6/hwYw6xr6epOkFTsyRi4eG1fQzPoO3aPYOvBcfE7zVFdCYqDUs3xj5//faGaFM8HVKA0z6DBL9/M3C0tvJmkx6MIrBhnNsj+5KsP4f/+7EkAwWSxtj+HqXKQiQ6sXOM/oxLTZT0IlNpnlEYTGaWw9E5mqWZr5vDlu/fjR48cBRBepOJuWmIZGhkly8+OBI9RYBEwSvz/tKGJTFfSxFCz2guA6rbbURaTzBkoyGk2Zui6yYwSPV6uOyIbFlujpIeldw2MUiRQmq7a6M2aDc8TZg6x0juq7/BCgVQndUpOpFeN7Py2ED3LCHHyt/NX9wAAnn/eitgEQTMU/IxlX5azDzILQBvbjUM8MDk4Vo41cgAC6V0io0TW4qbOHQNbnDOS3XWljdB8cXCs3CC7AyDGWFR+J28Ihgs1PHJ4Usj/jk9VJEbJaJtRGo2MGzKooGbJ9JnRQMlyvIaaqTgUKhaGuvn1sCJzu+1EGCXHheN4IedIGQP5VLI9eN1BLk33bGeM0od++gTe9JWHGsx0PC/oexfNTNOa0JU2cMFqbmtft92GRqAy5Hkvem1Hi3UUqjbOXBYEzlkzCJQsx21IpNH7FKpWiKXvjFFq3ykRCFpDWHawbtdmmKyT3cuim11KzlGgBAC/e/FqMIaGNhpPjRRx/b/emcg2doIv3rWvoe64FeS1KO667/ODott3cbn4lRsHsH8W0ruazZN5pEQ45tcWrohI7+rSNSrXg6SuHBCJgD9jdMwM0vwdlcPS+3RnAkZpz8lplOsO1vVnRbK1J2OAMTScC5oPzATpXbFuoytjCBOgaKA+VbHRl0uhN2t2pLSIQ912sa4/CwB41uYh6BqTasb5+a1YDopVW0jzae6hebyx/o4zSrQfWcr1d62gAqV5hsgSOIGRgC3ZSstZjzgWRtQozZC2HC/VxQRG2b21/VnUHbehNqliOQ0yGHLsKtedUPBD2dXozUETaPS7VC0H0zVbWGbK7FXd8WDOk5nDf91/ED98OBwomTqLPZ8liVFa1pVGT8bApmX5oEZJ2nAakfoOYi8ypi42G8mMktvWYi3LftpB1TdnaEd6R+dYmDkQzW47qFiOkEk12INHXO/0SI0S0Ci9A9DQQwmQpHdNzByc2TBKEWexT/7+xfjL553FP3Mha5Riehm9cMtKfP1Pr8SzNw9B0xhShtaB9M5GT5bXKAGIyGh9RslncA6Nl2Prk4Aw2x0H2YqaB0rNj+/J49PozZpYN5ALJV0mynVRgyGDkhFRQwf52mw7OIGxUh0v3LISADcTsEWgpDfto0TucgAPcgyNic0LLe4UAJK8RE6QZCmTK1oqWInjZqpiYdC39qZ6hQYzByeYy6L1czKa9UEr1WwRzHGnyvbXheNTVUzXbPyTnzgj8PnIE98j+nkAHwMXrOlF3XGx++S0kIw167Miv55AtR5nhhglQ7zmWw8dxvM/cUfD9yrWbBQqnNnPmjpSuoZCpQPXuw4ZJblGabby78OSIUSSmcNALgUaDteevQymrjWseQ8fmsTOE9OzrvsBeL1np2uqXLsaXT89zxPGDXuHi9AYcNWmQUyUrRkHdnRuhvz7ihoer+7jgdK4XKMkzQOU0JDHJrHj3Mmts+8tek9Gvge9T0/GFPfPDx4+Cl1juOGiVWIuOX91L1b3Zhukd/SaKKMkpHdVfq+LxKekEPE8z3fX4xLs2UrvLMfFmv4sXnLRKrzuqvUAgGyKasYdMUcXa3aDUqUrbYr3kFGq8RqldhK3Sx0qUJpncJlSWEfrONzuGADkeCJuwxJnb9kJ6rYriqBlRglALPMRnQDljKWsF06S3ok+SpG5iJ6/ZRXPpMusku24SOlSBkOuUaJs3gwXqamKJb4TvVdvNt6FhR7Lpwy843ln4Qd/8UwM5FKYrtq+HE02c4jYg/vywZShiexOnJTR9Sn0dhZdy3E7+t41y0WmY0ZJC/1f8+sOuhPodNrgUTZcluER4npV9UeswYFAehfnmBMyc4hZBNtB1Fns8g0DYoO2kE0nSV6TkQIlXWN49uZlQhKXMdqXUXHpnSFcw+RFkpIhW1b34NyV3cLgIw5mk0AVgKhVy6YM3x0uOSip2y5ueeIEnnXWELrSuphrPM/zJaGNwRoF49E6FnnB/cn2YwCAl17MDS+OTlbEpiiX0psGb/K9U3dcZFO6kK2JQEnXQrWAMqOUTxmw/XuQhtFYTNNZz/MwVbEw1MWTAXTPBNK7Rntw14uvUQL4pjkpUKL2BQC/Zy3Hi2Xvo3BdD8PTVfTnTPxk+zH87+9tFxvAkBtqJGs+LUnvqJZux9GpwLY55t4NS+/CcyCZIpy5TAqUTE2sG0fGy5iu2aHgmRivQpXP5bmUjp5so5FJM8hjqp05VZbe0fWbcaAk9faJvkdQF8uL3gHg6ZsGYPq29TKoafJsJUyUtOxUpRGqUao72H1yWjTMPlmoheo+l3dnhAHITAM7ugaD/n1FdtmrejnzEdQoeaE1hBjTakzA3p0xOq5RItYvek+KGqWMAcfltZM/fPgortk8hOXdGTG/nbOyGxuGctg/FnZQFH2UIjVKNE9QUiRuPa9afM7qzZrozaVmzyg5XI3y2T+8DM84k7uwktKhYjnCOKVUs0OGKkBggBPLKKWDOVcxSgpNQRa0dgyjJKMpozTDybFmuzhZqMJ1A3nFWp9inRSF142ZF4L8ufJAT3K9S5Le0fPPX80XW1lLHJXexTacncEiRRsY+g70Hn05M/Z8iqL7lI6+XApnLe/iDFjV5kXUco2SEUgq6X9T57bhtNmIY63k5zeD69tiz6xGiSbW5ImpUXqni+Mq1x2xYYxjlLiZA/9dZzE1Sv53q7ZglMwmfXzkAFz+uZNeSnHOYs0MJOYS33zgEH618ySAwAkylyCBA9C21TON6Z6sGRTbxmjx+3Mp/Ogdz8Tf33Ae3nbtmbHvRUFkEqMUJA50GHpza/Xbdw1jomzhVU9bi3zaEPMIjbO4YI3GWLQfjrxBvH3XMFb2ZPCss4ZgaAzHpyoSo9Rcehc9n1kzKCymTYypsxBrkI+T3tmB01Yco1mo2LBdD8v95wjXOz/QJEaJ7iXb8ZoySv35VGIWvigxSnHXPwkT5Tosx8Pbn3sW/uI5Z+J7247gM7/cAyDM6CUzSgbWD+bQnTH8QInMDtwGFYK8kYoLlHIpXZxPIOx6R3VH8jFVLAeuxz9rsmwhm9LRkzU6rFGSXO86MHOwHE+M4ZkmV2RGKXqtSjUbhs8o59MG1vZnsbY/B9OXhMqgIH22PWnGqP9Qh2sqXaPuDGcA3//jx/G+Hz8GANjnB8CUCF3ZmxEBzbC//9g7PB3zrsmgOYQCJZLeBWYO/PrLSWgg2FvI+whiuLsz3IEtajzQ/Dgc//MigZKoUeL34117RnB8qorfe9pafty+ZPD81T3YOJRvNHOI1CgJ6Z1k5tCVDvpLynsWuk+5BNucfY2S7Yq1kZCWFD7ivqzZDfsaYs6i44lc7wJGTDFKCk1g6lrI699JCJToXp8o1fHZ2/dye14hvZvZ5Fj3ZRVjpbqYlEnjG+fOFm2SmiSjSHS9SzBzoOdTbYbsICOkd3FmDrOwBy/XHdi+xTEQ3Mh9WZPLX6J6calGidCdMTEyXYPnhYvxo83hLAqUDE2whZbjNWzk6Lu1+j6U5e+MUXKQNjRkzdbFk7RgxzFKFYlRih4/NZzVJOldtHFmXD+m/nxcoBQONsPHFzwmL3izYZQAmcXqvEapk8X1s7fvxbce5DUAzSy6Cdk23ZgqFh/TPRlT0rQHx1WSGIC0oePPrtmEV1++Lva9dI2BseSgkTYX2ZQOQ2tu5vC9bUewrDuNZ28eQj5tSHUCPptmNH73njZqlFwPeO65y2DoGlb0ZHB8shpxvUu+JtF7J+c7SAGy9E6D7QabYTmYzacNUb+0xk8uxY0/qqlZ08efQ4FntEYp1HC2RY1Skj24XCsp37OtQGYCa/qy+N/Xn4szl3XhkJ/hLrYIlBjj54UxhgtW9+JxiVEC4iyv+d9ShtaQRX5qpIRNy/Kh7y5L7+jzi1Ub9+4dxdfvOxA6vhOFKrKmjt6s2ZE9eKdmDrL0zprFGgTwQInGVZz0jv52wZoevOQizpyaPtMpgwKc2TrgjiaoQVqB7uWBfAqVOjeoIPnjU34QQMe/ui8TYkJu3zWMF37qzlDD4lag+WdQSO+q6Pb7EwHxNUqAFCjJCSR/Ler2ZWKdrKslwSiFx1tVqlECgEcOc6OTZ53FGZl1Azl8881Px8svXYMNg3lMVSyMFWv4/rYj+ItvbAuVAgBB4krUKAlGyTdnSgiU+nNzIb3zRPKXkJUCJSG9842tZND1iI7Xco1qlPzjT6iBPxWgAqUFgKmzUMEwd72LCZT8jdhPHj2Gj9+8C/tGi7OS3nleUIh8YqoqHJPIRYaazsYxSkcnK3j0yGSsg5HreiKz2iC9S2CU6Pnnr/Gld9NNpHcxjNJMpHeUBalEghP6/tEMh8ieShK77owhWIx8SHoXpsltx4OpMzHpEaLXrSYFVs1AG8COAiXbRcZsU3rnn+OgRonMHBxU/EyQxhqvY8mf/HRJetdQo0RmDpaL1X72L056J9fvJR0fHRNhNEb6lAQK6sKfSU5vnY2ng2MlnPMPv8DOE4W2nj9ZrgtZkmj62oxRMvS2tPNliZ2KO38yA9AKjDGYmibG2nTVwjceOCiuOSVncqmg31AcqpaD23cO42UXr4aha+hKBWYO9J0yMUFiqxolWqifc85yAMCq3gyOTQXSu2xKb7p5bWCUUsGmo0cwSpqoBUwbmjBpoc8nVnedL1eWC/MJNJdR7YRcWA7IcwQxE16i6x3AN6JVy41lDoq+kxQQsMDtzBEkdV4h7sfAMGJakj5GN1zFmo0u346cf8cshqdroWOrWg6u+9Qd+MYDBwEE431ZV7qRURouhmR3QNjMgTbe01UL33zwED79yz1C/gfwdYwafxciJiZ/971HMZWwYaSxm9Kb957adWKaqy+qAWM220Bp/2hJfOcGMwcp8P3iG67Ae158nnSc4fttzF+HZlvrMVaKV4O0At1P/bkUbz0wXRP7hX0+U3jt2csAcHlcVmIShv1kYydySRpjJGk9OlnBYD4lEgSyPbhco0SJC/n+pxyXYD/amGv3Dhd5A29ilKLSO8n1DgikkXIbhGecNQRT13Dxuj4AwHWfuhPv+u523LTjhLjXaI1ijCElSZyLNTJzaFSI0N6mN2uiL5eaF0ZJVvjQvVas2Q3zKp3T6Ngu1R3h2sd/V9I7hSYgHbzsfhRnBU4ShgOjPNNXkKL3TqR3n7/jKfzfm54MDdzjUxUUa04slStPvPTzv/1yD97+zd/ESu+mKlbsRp6MH4BGq3PKxG4a6kLK0ELOSyS9owkw1sxhBosUTcpUhCrXKPHHw+dU3oQSujOm2DjKjwt78Kj0LpKViU4qNLlGv4/nefj+tiNiArTE927vulPtU9oIpHfNMo9J0ruazRklYhGisjjqEaGHGKX4QKlqOdiyugdZUxd1cTKaMRrVkMNSIFGYLaMUZQLbxe6TRdQdV9ybzVCzHZTqjpAgVdpglDKm1lammM5tygh6WckSnVLMGG4GQ+cmDZ7n4d0/2IG//5/H8MjhSf5eUu8R6jcUh0LFgu162Og7meXThnitYJRipHfRGqUH9o1htFgT42FNfxamzvBMP0O7ui+L41PczMHQmF+j06RGKbIZysXUKJn+96/ZLlKGFtosZFM6apYL1wPWD+bRnTZiA2XamK32pUaWCDSJUaIEWcAoRY1GZIimszHyu3Kd91YB5I1M63FDDD6pCfqkLDQFBabOYvsoyUF3n9/kWF4zijUbu08Wsd0fN3Q8Q93hQMlyXBydrAijEUI2xcc+yUoBLvGZqliYLFuhQHp4uopsijNK8qZ7x5EpfHvrYdy/fyz2+9M8nUsnW8ofmSjj+k/fiduePDlnZg4j0zXsPDGNZ5w1GPsepZoTe6+SJFQGjYfZBkqUbOr0+9A8NpBPYapihfYnT42UsHEoj80rurB5eReu2NAv2UIHz+uEyReMkm8EU7dd9OdTQhJGY1Wu+R3Mp0TT2bhgiNiPuEbJMn7x2HG84JN3YOvBiaBGqRw1cwgzSuOlOrrSRmzt4RUbBvDVN12Bs1d0i9YQlAAwpHnA0BksXxpI955Yz2VGqRwESrmUPusxUXdcpIzwcVOAJkvvZFdBAtUoRa9t0EeJGCUVKCk0AWWH5H4acc1laSE96PvtT1cDPWgnN8Kdu0dw5+6R0ER4okCMki7YA8p4ywOYgqHpqo3JkhVpHsj/JteJyIES1/7yn6Pfb7RYw0A+hZShYXl3OlKjxGlf4f4VY+Ywkz5KNJlE5W6CUYqcU8p4yBsDuWlcLoZRCqR3HlK6Jh4nNDJKTuh7EQ6Nl/Gu727Hjx455r9f+7r4quWIY2+34WxUehf0UXKEs5SusRCjZPn1S71ZU0hnNIZE17ty3cZgPo1b/+YavPbKM2KPI87dCQgvcnT9VnSnOwqUuBNh+HqQvKCdPlYy6HPbkcAKSWvk3m0eKLUnvaNxkdI1yd47zChRENEODI3Bdj18b9sR/OxR3leFNmQiwEtx17ukcxb9fl1pHaW6Dc/zxL0cxyjlTB2M8bnG8zy8/ssP4mv3HRSf89xzluEVl64Rm5tVfVx6V7d5UiJOniQjuhni0rtwjRIlsaj5Mt0HnB3WRBY3bWo4b3UPHj8WEygViFEi6V2YUbKkBBn/3fXdI+OPO2g6Gw5aXNfz+7l1ziiR9I7cB2VGieb1NX3ZGOlduH9cb9ZEue6Enkfj5UQhbDawrCsdkt7Ra6KNp3MpKob3QjVKFIDL/Wssx0PWpBqlcBAGoMH6nEDXJJ8yEgOE0WIdnsfNF0TDWUe2B+88ULp7L7fKvm7LCv4eUtD1xq88iJ/tOB6yBifEjW0KcJIambeL0Uh98cs/e49gA5uhIjFKUYOog2M8UEobOm79m2tx/QWrxHxQrjtij9EJk0/33qA0XgbzKWT8e5T2GnJZAzGegOTsKs2F3W0wSo7r4V9u2Q2AO0XSWGg0cwgzSmPFekOTWRnPOWc5/vstV+Gt124CEJw7ucbX1AMpsOV4iWYOdC9xCTZ/TSfS8ChiGSXJzEFOVowV66E+k8IeXNqjUcmHHOipGiWFpjB86Z28YMYVsFNwsd8PlOTeH50ESqWajboddlY7PlX1DQmMho7L8gAWbkaWg2LdDsvy/Bubjiuf0hN7K0QlW8OFmqDQl3enQzVK5BgHcPev2hyZOQhGyc9WikApS4FSeMEp1xwwFp5Ye6QmqTlpw5CKbLgtm/cXik420c+oSYGVPLHR5H7SX4Bkt79WE+CrPn8vPuxb/mbkhrPtSO8ifZSmq3zsdKWNht45QhedCxglbuxA9qbhJryVOmem1vbnGpg2gpnQnyc0ruwgQz1VaV9iEMcoiQC3w03PaAeyl4mImUfFcpDSNVEfFYeMqcc6iEUhM0rC3ltmlPwsZFyD2TjQhuzH24+JhsATkYbJuZQhmKc40PekBTGXNuB5/PFAetf43TWNoSvNzVJq/nxFcxcAvPeG8/CxV10snr+yJ4O642K0WIPhBzLNAl6R8fUX9aypIxdllPwAkKR3ND540oOJ+S+lazh/dQ92Hp9uNKqZriFr6iLAaahRIntwueFsM0Yp70t5Ihlsmqfz6fA9206tyUl//qX7sC/Pe694nic2QWv6s5iKfKZsHgEETaPl4IWkXBSkVCwHps7QlzND9UUk3+nJhjeTGUnhENQoWSIQOjIRZnFzKQMD+TTGS3W8+vP34qmRojjHwwmJFLlJcVLyiTbzo8VawCjZQf1a3OZ6vFTHp2/bk+g8eOfuUQzkU7hkXT9/D/+9jk5W8OtdI/iDy9fh8697WsPrjJixHWWUbMfFyz97T8eNackUouavi9uPTOK2J062fF3Vcn3TCV1835rNa30nyxaGIi0AdD9hU6k7YuzGzfVTFQt/8+1HGgIRuvfIzAHgQbahayHWhurIGOMOc48fm4LrBkkaeQ0nyW0So1S3XXzxrn3Y49vYy+xpkj04zS/EKLUCBSB0b8hrlKkz1B03VGuajQk0aI7uz6fE69txv0wC1ViHjlMqhZBlrsPTNQxJwT19Z1kqSvueXEpH2tCgMVWjpNACtBkRjJLT6BQEcLma43rCJSfUZbqDaLxY8zce0oJwws+M5FNGqEgP4AsE3auitsB24HmB7lb+GzFK6wZyocVD3kRGzRwOjpVxxgCXXKzoyTS43lF2PJpZn40+nBZaylZSxoMYpTjpXT4V3mT2SBmiuBqlsD14o/Qu+hm1GLYMkJrx+jIeWiQ9L94VjuC4Hp48Po1tBycA8MBH95m5aL+D8HFEapT845a7bVOAT5ALSOMazpKzndxHqVldDsAZnrhrG2fmQMX77WbObNeFHqkZo0Wl7t+DrXoDEShQakcCS0yAMGKp2y3PQ8bUGmxX41CLCZTkDVWx5ghpVjsw/NqjSt3BBr8p7KQIlGykfYlfnAyTIBgl//4gxkPWs8eZOQB84zJdDZ5Xsx2ROIkGe7RJHyvVBXsbt+ndfngS//ijx8TcRButODMHUw8azqYMTQT7KUODoWmhwHTLqh5ULAcHxsLuVcPTNSzvSQfF2C5PbtBmIei1Fq63TK5R4psQee4FGuvP4mo6k3CyUMXy7sBprj+XQt2X2Qo31L5crJlDPiZQOi4FSsR0nJACpYzJz3WxZuPAaAmjxVpo/pBB61GpbosN2XTVFs8/MhGuC8uYOt5w9Xq87doz8dCBCdy5e0Sc45MJjBIxGfm0kcjA0Xk4PF4O2ArZzCFmrP3yyZP41G27sePoVMPfXNfDXXtG8Gy/gadcH0XX8nnnLY81uklFpHfleqO6ZLpq45HDk0Iq2y5kRolUII/FMKVRVC2uNIgy4yVfjhUXJJAsTG4oHMU9e0fxg4eP4sH946HHKXAlMwcgYFvlZGbdcYX0/Rln8t5NO09MS32OguOiepq4/VTNdvCcj9+Oj/x8p6gpKlQscR9PlOuhfVvN5gkBug/HS80ZJQI9n8abroUZJct2gwa5kpmDzCROlOvQNYaejCFJsGfJKEX2LnSOK5YTYm/lVggA0OUHn/L9QUEu7afyKUPVKCk0B8lW5MxiXI2S43o4NlkRk77cobwTS9BSzUHNdiKMUkVI70w/I0MTSbnuCB2wcIjz/yZLncjMgR5b05cN3RyVEKMU/l68oJUHSo2MkgfT18fKgZLrBk16646Lnz16HB+/eWfb50Fe9Cv14Hz0+ht6WnCoYzZpamWEpXfJNUqW6wl7cBlRBkLe1Mgb3FE/QKEAUr52zaQ1I9M1OK6Hg76DFU1uuZTemeudNNkDfEOhRzbHJCnrkaR3uobGQMkvgCaZTDPkU0YsSxOWdAbMBtC+bC62RskI5Gqf/uUe/N6/39vWe9GY74RRqkqMUqvzwBmlNmqUnGDjHkjvGhmldkFudhWLzwGGxoS7k+zI1czMIVqDRfK2Us2RGhvHf3++mbZC805cdhMINtgj0zX/XuObyWjg/MsnT+Jr9x0UG0Ka27KpoFdNj5DeBYGibOYgB6L0+xbfsfOJyKZyeLqK5d1pSY7L6wXp1hG24JHapcQ+Sv5mcHQ6kmGPmM3IBixRRJMPJwtVrOgJNpx9gj3kNUApXcPynjSmKlZoM1hMDJSC4IUYiskyl2rThjqf1lGqO/j9/7gPH7lpp9hsRQMlGmNjxbo4Z1SjBMQxSjoGu9J4+3O57b3tBL3WooxS3XYxUaqL+ol8OtkAhO7tg1K/G7n+Je51dIyyBTjhF4+fwGixjms2c4ODlJQUknv2xSEqvZP7d4naYn8cddqfht7L9qWcAL+n4oLMj/1iJ76z9bD43KypN8hox0t1OK4XatZMyPnzOx1jXKC083hBvI+MUp0rPHqzJihnMhgTKFmOC8vm0verz+S1YPc+NSrOk8woUTAXt6aOFes4NlXFO557Fr7/tquRNjRMVSwUa/z+cD1uolCzHbz+Sw/ggf3jvlyXH9xEuR4yckhCNFCS5zqS3hWlpIgsYSSMlyz051LckKdJm412QK1IooGS5jOCNamPEkFmDwNGSQrsa0GrFYCrcWbb/2sxoQKlBUDKLzomajJqD06bOVfa8ALhSb9T6V3NCiZ4Q2O+612gb88YWihDRQNfFGHb4aCI3hfgE5qhMQx1pUVAVa7boRtBDgSPTJRRd1zh/LO8JyOauAJh2jdjaiKYkIOwmuXi5sdP4HvbjrR9HkKBkuXESO8c/OzR43juJ36NJ48XhEuLDHnikwOlaD8ey9f40vcgOj6pRgkITyyCUfJ1/u3a2VJvCTpXNAnnzOYFno1mDvy4yYK225feyb1zClJGmMaszpgoRu33JUN12xUb5JaBUlpvaDgKBLJQIAguadJtt59JvOtdcN0Oj5dFkNwKtOluJysWld7JAUcSsm3WKNFYSOuaYMvkBZLkte0iZWiwHU9sbmUHpZLkyMUZpfB5f8vXtuKbDxxqkN7R5q9Us5tK7wB+Tct1R4xVavDZLFAaLdaF9M7zYpwZafNHgZK/uZL7KJH8i1ip6aqFnowpgk/OKAVjJ21o2Ly8G6bOcOfuEfzokaMioBiermF5d0aYk9iuG5oLKZB12gyUejIG0oYWSpTx80nSu+b24D/ZfgyXfvAW3L1nVDx2slAT/WcAoC9HdVB1FGsWujMGerMmXA/4kxsfwod/9oR/LsNMAW06j00GxyYzX8OFmpDcdqW5Ec7wdA0nCpVQXYUMGjdHJ4O172ShKs4XMUp0PbIieA8aJtN8ebIQDpS+cOdTeMln7oLtcmlW1kw2c6B7W+53Q7UW9HMUNCceigRK9+4dxV996xFctLYXL75wJQB+vUjVENTDxs8L0UBJDiIoQKLNaLS4vhXkXmDyBvixGFbsfx4+ipsfOwGA7wkyUp8+AgVYcYxSNqWjYtlNpXc7T/D+SlEGtVjlChhNY2IdIbY1LTHU1IbD1BlW9WaxcSiP+54aC6R3/njTNSaOPW6upfN47qpuGLqG3qyJ8VIdVStoDzBequPYZBV37RnFtoMTyJjBmu96aJNR0kKfJ88Dhi+9I1let88YkYSRMFGqC4kuSXib9blrBlpP4+ZcalsR7XUnyyG7hXupJWSgglFKB2tCSQVKCs1AtR4yoyRL02jBs10vJOsYkSb9dqNxbmdpC1od4BI5KkqUmxUG1uM2BvI8a0PMVTWWUQom5q6MgbSpoWY72DtcxIXvvwUPH5oQz5WzkqIb+/KAUQJkmZkcKAWZ9VCg5HC73E4sTQuRQEn0UfKld4WKhS/c+RQAPtmT778MeeKTN6CNZg4uTIOJrAxpeKPF/7UQoyRlDEnnT4xSm4HS8cnwZorGUrYVoxQpdBXSu6LMKLHQJpw2On1ZM9JHqVF6JxsBNEOX5JAmoxrHKPmLZbuOdfE1SgETWLPdthMQQSF16+fLZg6ex4OQODMDGRmzvYybLAUTjJIcKNXsxM1XHDjb7aJq8WbFA3kzCPSkAM/Qw2YOVcvBrU+exNYD42LOyAhGKZDe1ZqYOQAB80nfvWYFMpoo6L4dL9V4UiLBmIOuKSUdZOld4Hpniu9vO7xOpzvDN2WGxoMwuaYs5ctqNy/vxne3HcE7v/UIbnmCbyBHCjVRkE91U/K4siKMEk39SdI7xpiQJ+8fLeHiD9yCA6OlYHOdCjtVRplI/lwHf3rjQ7h37ygsx8VYqRaR3vktIsoWilU+n1Mg+utdI7h/H5dBRc0c6BrI7IPMdpycrgozmC7pdeMlK5RokUGNSWnDDABHJbndkYkKUoYmZFe0aZYZvCQzhz3DRRybqqImGYAkzafCyCji1BcwSo33J82Jh8bCgdLX7z+I3pyJr//J00WyISXV35YjQW8UphGuURoryXsBfnw0xoo1boby4+3H2pKoyy0WZJfDOPlgoWKF5oOMqTfM6TQW4oKEdqR3u05O+98xzCgVqpaQzdH8QUkPOfFi2WEW+uozB/HA/nFxPYOeaSy4Z2LkqtMiOOHjszdrilq8tX6gNFGuhxi8tKGHVCQdSe9iapRSEekdjY+os914uS7WWzOmVrUT0F4jzgAoY+i+9M4Ktfjozphir0Pz/Q9+cxRv+upD2Ds8LYJ4GvvZlK5c7xYCjLHrGWO7GGN7GWPvXuzj6QSUtZQbzsqbG9PQwBiv6zk4VkJaOMPJ0rv2NnSii7njik3KhWt6UbNdTFWskL5dlt7lfVkKbVrptZSV7cuZYoIoVm2/oaWGmu3i8EQZjuth+5FgopWzvPtGePC3aYgzSmRRS0GB5fcgAqifjD+p2uFgoegzZe2iEJXe+ed//WAeq3sz+PBNT4pjLtZsno2PSCHk7Ke8QNAm7ZsPHsJ/3X9QWJzTZE0a3qQ+SvSdCCSzGSvVYDtu6LvHSWs+ctOT+Pv/2dHQwI/kOFzy0LpGiSZtWkBoQe7KGKL/FyGuRknuo9QnSe8qbTJKXRkztDERxxfDKOVmxCiFpziZCazZruiT0wqdSO8o++t5EMFYK0YpbWoNZg4/ffQYfr7jeOixWDOHkPTOSZTzxIGKxmVGiTrel+uOMD+gWh7CgbESPC9chyQYpbTMKLUOlEr1QKJXsx2fnW0MIojNcD0IRgmI700DyIwSSe90POusIbz6aWuFRbVp8O9VrNmhuiXuKhiW3gHA2597Ft56zSYM5FP42Y4TqNQdTNfsIFDSuOlFOYZRitbDJTFKAE8mDRdqePTIJKYqFg6MlRpqlEjq9OD+8ZD8sFi3YeoMGwbzeOvXt+GbDxyC5wXzLhDUekxW6pj253O6fwGexKrbLibK9VCNCAU5slRH3uCemKqKGiU5CJgo1QNGKRIoUf+pJ48Hkka5X1WxZqM7HQRyNM5kBo/W07FSPdx81A+WCxULpl+7mTR/xCVsWtUoTSUwSoWqhTMGcuiVNpfyZ5fERjKBUdLCNUoUjC7vTouxJQdKjx8r4C//+2HctWck9v0IruthvFQTAcdUiFEKS0ptx0Wp7ohgimpOo/cyneNYRslXNgjpXUxfPjp3UeldoWKJsULrSFCjFBxDzQknV67aNIhijddvpQ1NPDela+KeiVMxTPuOi/Q9erOmUGxQe4vxUtiuPm1qoUat7UjvspL0jo/hRtc7uUYJ4Ou5XNrAGSV+LmZbo0R7jbjkFCl8ChVLJDQAnrSkhA3Nm6TO2HWiGKpRov9VjdI8gzGmA/gsgBcD2ALgtYyxLYt7VO3D1DW++SWHNCew0QZ85zDGrZgPjJWxfjCHnqwpAonudPgmaQaZhqcb+vcvX4d//r0LsXl5Fy71ixT5xiwsDeJZi3hGaSCfEgOdmKm0ofONoL/AyFk1WXr31EgRg/mUmOSW+1r5k4UqXF+GSDcpp+obF6a6v+Gs2U5sMb/jeg2BQZL0rjtt4EtvvMJvdOvT4H5PiGi2LFSjJC0Q+ZSONz1zA6YqFj55627UfbmQYJSo5quJ9E4OmkgO4Xk84ydnE+M28vftG8PPdhwPSWCAYEOaTTWX3tH1le2QGQs2PV1NGKWerCmsjTUWMEokBahLG8VWAUJ32kCxGiO9kwNF2mwndLdPQhyjRCyB7QTNmFsxORWpd0RbZg6Sc1jVctoytciavHZCZmL//ddP4av3Hgg9T65RCjq5h6V37TgvESgYJtaLd3kPzBxozOsRd0JKfpSkHikNgVJdcr1LcD3MpgxUpEL1GmWHY54vMxFUo8S/fzRQCsuGaUORS+lYN5DDx199cTDu/frR6aolNjkpg/d0CzFK/vNfctEqvOeG8/Ci81fgl0+eFJs8YsnJblweJ8LMIbKRaRoo9aRxcroqAoaq5TbIWdb0ZfHaK8/A1+47iM/fsU+8tli10ZMx8ZU3XYFsSsf7fvw4lnen8ezNQ+I5xAxNlC1M1yhQ4o+lDQ0j0zWcmKrC83ijX4J8DWizLbMdJwtVVC0nZJzRlzMxXq6jULGQMrSGjfZAPoWMqeHJ49PiM05EmKF82hDsQihh5Sch5SBUVkFQsnGybMH0+2Ql1yg1buQsJ3C9i5Xe+WtsNFAihlJGyMxBsIOta5SePF4IGSiJ3oq+WqFUs0WQ0UqGN1mx4HoQUjI5+RWV3tF7TUptNjJGYOZA90Qz6Z1gjCM9xQi7T06LvdBYpJn4tD+OgYBBEjVKMqPks350POes6AbAawkzZtAOxTQ0SSYW18yZP0bjrDdr4tgkBUo+o1SqBxK9ld04YyAXZpTacb2LBEoyDL/uMhooZcyI9K5cF4mNOGVBJ5DXlLhjJXtwSmgA/B6keZ7+p6TtnuHpwPUu/dtRo8Rm472+UGCMXQ3g/Z7nvcj//T0A4HneR5JeM7D+PO+F7/3yAh1hc+w6MS3sK4s1B6t7MzgmuQZRofTK3gwKFUs0d6QMF7dXZLhobW/Lz6pajmBJzlrehb3DRWxZ1dMwae84OoWUoeGcFd3YdnACA/kUCj7jdNbyLmw9MA7H47Sw6/GifEPXcO7Kbjx5vADX4wvgkYkKNg7lsX+05DfJ4+Np41BebB6o+JmKoW3Xw7aDE1g/kMOKnjQePDCBdf1ZrO7LYs/wNCp1Bxet7UPNdvDIYf5dejIG6r5E6MqNA4huMU4WqjgyUcHT1veLxx4/VkCpZsMDcN7KbkxVLBybquLpGwcA8A2V5bjYeWIaZwzkMDzNu75vXt4deu8H9o+DAbjSf52MIxNlHJ2sCu22qWs4WahhRXcaJ6drWNufxZq+IBNzslDFAT+gvHBNr9hcbj88KQrAL1jdA8vxhCThgjU9DQvqw4cnUbdd5NO8KSZNkhes7kE+bWDniWnYjosL1sSPmcPjZRyfqoa+04P7x6H5vZMuXdeHnSemkTE1nO0vPAfHyhieruKKDQMii9mTMbB+MI8dR6dwxkAOh8bLWNOXRV/OxOPHCjhnZbeoCYvDvpEiJisWLjujP/T4jqNTYkOwoieNk4Ua1vZlcWSygovX9raUsgHA1gPjGOpOhxpcOq6HrQcncMZADhNlnk2/dF1fon05wDfv5CzVlzVxzsruxOcC/H6nLOylZ/Rh5/HweYzDsakKDo9XcO7KblQtByt6MvjNoQmkDR3n+/cNwAPqp0ZK4hw8sH8cq/syWOdnPOle3jiUT/qoEB4/NgWNMRT8hdByPEyW67jsjH4+R+gazlnZ7S9+Di5e28ePd7KCwxMV5NM6BnIpHJ6o4IoN/dAY19g/fGgSG4fycFwXh8aDv0Wxb6SEyUodG4fy2H2yiK60wR0b67b4LBkPHhiH5/FgYXl3BvtHS7j0jL7QZuXJ4wUUqjYyBmfpzlqWx96REjYN5Rt61hydrIgamNW9GawbyGHbwQmfXTNx2P/bllXdoWzxVIU7a63qzeD4VBXnruxGb9YU53+oK4Un/I3/8u40Ng7lQ58FABuHciE5nIwDYyWMTtcw2MV7zp21LA/H41nb6Hh98ngBNdvFJX4SbO9wEcWajUvW9fk91hwM5MxQ5trz+Llc25/FeKnuywq7cHCsDFPXcHSygs3Lu7BnuNhwDz90YByuF8iBUjpD3Z/3V/VmMFWxkNI1bFqWx4GxMtKGhuNTVQzmUyhUG+91ANh+ZDLEHEeTPDS3TlWs0HV86MA4lndnkDY0HPSDlfNX94gNJq1j3RkDlbqDgXwK46V6aJ0g7B8tNZhBDORTmK7yButr+jINjbMfP1YQm9orNwwI04HthyfFWkqQ7ye6f67c0B9r5b93uIhSzca5q3rwyOFJ6Axiza1aLi5a24uxUh17h4vImjrW9Gexd7gYO8ZlVCwHjx6ZQn/OxETZwobBHA6MldGdNjBds8XaCITnvadvHMBjR6dg+qYfu08WBdswmE9hrFTHhWt6Qr0GAS59lJOv0eMjeWnW1MAYw4XSeiXvUWg9oHnkiWOFkBKhL2eiZvF9g+t5eOgALwMwdYaBfAonCzWYOsOl6/pC+w0ZdCw0nzw1UhQyRZpD1g1k/b8FczCdUwBYP5jDyp74e5pA+x+A9yG8YkNwzp/wWdX+nIlD4xVcvqEfOmPi3NPaI8/7tCZcsq43xLS1C7rOZy7LN1i8P3ZsCobGUKzaGOriexoA2DCYw8lCDVXLwWXr+8X3Afg905s1Q+eSxkF3xkTG0BrO/VLAd972jG2e510e97dTglECsAbAYen3I/5jITDG3sIY28oY22pZjVnqxQLzJzkK+KOBP2NMTLAeGpt4mjprsNtOgszkkPwtLnGpMSay167nQWNMbJLlY7RdT7AG9DfHL5Kn96UsUbhWIPi5YjmCDQD4d2PwLZrFOeD/E7MmHwMdoyMdbxSlutPgJui4QWba8Ty4Xvhc5PwO7/SdXP+7RqGz5OwvZZ0t2wUDC2p3dP4do4Xm8rHLSQrLcUPSMg/y8xo/1xYSDp69pcMLaofQ4Kw4VqyJDYjrBeecoLHgeEnWIr+D7bpiXNJLGZOunf83zwsaKscoqELQNS22/4PreeK1pPgip712E2ceABYJqcV95gU2407kOkQhPxbnVtnwfEmi5vr1iHHjSgb9/dhkRWSnbccLjQN+3PQ9gusgHxLdm+2CMSbOp8ZYqHeWK70XAwt9DmWI6fvJ34F6bPF7Kvz9otA1/z1E/Q6/LknPp/GnQZozI5eEjocypXSPajHnRX5EWN6z8LgG0LCZ7fENTYj5IEZcY/w7xNVVR48zOjZlpHQNjiedZy+o+4x+j+4Mt7ymt3e84LplTB2D+VTD8TPGj9V2PMG8aoxh41BeMFYUAKQjkhy6BqZg9Pgnp31XN9fzoPl1XpuXd4XaUSSNTbk+Qv45TuIrf3/GGDyE7xO6X13pOtiOB40F1ycO0XnI1BmfyxLWbSBcFyKrBeKMZDQGcZz0WUn9zmjPQO/veHyMaSzYC8jrd7O1MXS8EfaAXkeus/I5kL+b46+tmsbE/U2W/8SSxfUF01j4/o4eX7nOW5Pk00bD3CsrAjTG7xaaF+ij6Oy5rifOpcaCfoYaC9ZkBi5zY4hnX8TaJ9XfEkxd469zvNAaKR9D9DVJkJ8SfTbN59Fj0TQm1h76G5ko0Xs0u/R7houhejQZdE3ixmJK58Gw4/F5lI6d1yZD3FMyKnWn8fj9cTBWrIUUF6cK2tdonALwPO8LAL4AAJdffrn37bdevchHxPH2b/wGO08UYOoadp6Yxgu3rMDX7z8oGJg1fVmMTNdw/QUrcdeeUZyzohsePNy0gxcLX7VpCI8cnkA73+f+fWN4zRfuBwC85op1+MjPd+ITv38xzl3ZE3reH33xflQtF//9Z1dh03tvwu9fsQ73PTUKQ9PwjTc/HZvee5N47oqeDLas7sHh8TK+/dar8bx/+TXOW9WDKzcM4H0/fhzXnb8SX7p7f+j9/+SZG/H6qzdgslzHJR+8FX/27I14yzVnir8/86O/wtM3DuAfX7oFl3zwVrzpmRvxpmduxPt//Dj+5+Gj+PZbr8ZjR6fwO/92NwBgw1AeB8fKsBwbX3j95Q3d3d/4lQfx610j+MxrLhXZiis/fJvIEL/jeZux9cA4frz9WMN5vOB9N+P6C1bie9uO4CUXrsIHXnZB6O/P/OivACD2/P/okaN457cegeMBzz13OZZ3p/G5Xz+F1121Hv9xxz5ct2VF6P3+7Zd78C+38q7f7//d83H5hgFULQfn/p9f4GWXrME3HjiENz5jI3qyBt7xzYcBAP/wki3C9hSAeD7hReevxPYjk9h9soh/+8NLsX4wj3d9Zzvu3zcWOuaLP3ALrtvSj4+/+mL8ww934Oc7ToT+fsWHbxOylW+/9Wq88nP3oD+fwlffdCUA4M03bsWRiXLo2lx6Rj8+89pL8bL/dw8+85pL8QdfuA83XLgKV20axJu/thUf/b2LcFEMM0D45K278Zlf7sF//9lVoQ3QMz/6K7ieh+NTVTzzrEH88JFjeOu1m/D3//MY/u8rLsSFbbCr5/zDz/GyS1fjPS8+TzzmuB7OfO9NeNXT1uGWJ07g8WMFfOjlF+CitX24c/cI3vTVh3DX/35uKON1y+Mn8Javb8Oy7jRW9mRa3ofP+fjtsB1eQP6RV16EN3zlQbzgvOX4yCsvSnzNtx86hL/7/g6kTR2Fqo1P/sEleOZHf4WNQ/nQ5339/oP4Pz98DF/446dheXcGF7zvZtxw4Sr8n9/Zgrrt4ux/+Dn+8Moz8P89f3PL8wPweWB0uo5dJ6fxxmdsgON6+MjPd+KLb7gcL/jkHXjO2cvxz6+6CH/znUfwwL5xcSwv/+w9GC3yguLrL1iFbz14SPyNzvErL1uDmt/AMemcffzmnfj8Hfvwp8/ehPf8YAfW+JneiVI99jXXfeoO7D5ZxAVrevGaK9fhnd96BJ949cWhzP2LPnUndp2cFqzHR155IV7xuXvx3hvOxfPOXRF6vy/etQ8f8ps1v/XaM/G6q9bj2o/fjo1DeVyzeRk++FPu/vaxV12E81eHx9wD+8bw9m8+jLFSDV/7kyvRn0/h2R/7Fa5YP4AXblmBP//GbwAA15y9DJ949cX42C924nO/fkq8/s+fcyZeffm62PPyvW1H8Lff3S42HG965gZM12x87Be78I03Pz3EqNJz//n3LsLGoTxe84X74Lrx85UMmoN/vXsEL75gFf7p5Xye2n54Ei/77D04wzcB+vqbnx6S3F3/r3di54lpXHv2cvx4+zF44FLk83024OhEBVefOYhPvPpiANyu/U9v3ApNYzhneXfscb37+4/iWw8dBmPA7168GjfedxAAsGVVD3YcncKVGwawqi+D/7r/UOg6Xv6h2/C8c1dgbX8WH795FwDg9Vetx+uv3oCDYyVc+/FfA+Auh2lDx4svXImv3nMg9hjefONW3L5rWJzzTUNdWNWXwUP7x1GqO7j+gpV430vPD73myg/fhtW9BvaNlvA3152Da8/mVuBn/8PP8YpL1+A9NwRzj3xd5HUuDu/+/qO4fdcwPvC7F4gWBueu6sb5q3tx6xN83r7x3gN4348fRy6lc3n9L3bidVetx5ufvSnpkotr8fqr1uMTt+zGiy9chS/cuQ+/e/EafPXeA/jMa4P1896nRvGH//kAAOBffv9i/OF/PoCrNg3ij646A6/83L145WVr8eV79mOgK4Xpmo0vv/GKhnX5H3/0GH68/RgAoF628MZnbMAbn7lR/P1PvvoQjk9Vce3Zy/Clu/fhW2+5SmzYL/7ALWI9fv2XHsDe4aI4X2++8SHc9uQwlnVzxnXjsi5oLBjzr/viA7h77yg2DOZx3fkr8G+/2os1/Vl8+61X44oP34bnnLMcH3nlhaFj/eQtu/Bvt+/Fd956NTSN4VO37sanf7kHAPDR37sIb/n6VlyzeRnWD+XwsV/swjf/7CpkTB1HJsp41j/fDgD4u+vPxYvOX5l4/gEeqG96703wPN6qRB4Db/zKgxgv1XH5+gF8Z+th8Td6/NtvvRoHRkt4zid+jb96wWa88rK1+Nmjx/H2b/4GH3vVxbFqh6myhYs/eAteceka/J/faaxYefzYFF7ymbvxt9edg+svCB+7PD++6Zkb8Pk79mG0WMPfXncOvvngITx5vIBv/tlV2Pz3PxevsV0XL79kNT7zq7341luugqFreN+PHhP3dNrQ29rLLjS+87bkv50qjNJRAPKKstZ/7JQABUSU4aQMDGVkDN85jPcN4jaX3emwFrxdMwfZkaXg135Ee/vQZ1ctR9Qp8RolbgAQLVrNmJpoHkif0ZUyROYv2rEaCLIeJGWQCwEBrsEfnq41ZH3lOinKMGVMTdQoAeHMHWUHyZ1G1h4Xqpagwat+H6W4c9GVNvwaJVsUr8vozhiJTmJyobOpB653+ZQRKyGJM3OguqBzV/Fg9mShGsquRc0cokWvq/oCGQFR79mU1lDXVq7bgjqvWW6Dy41wzDN14WYnZxgLFUtsmChzZmgMPRkTt//tc3Dh2l5RsNyumUO3qGeJuAPartA+z9TMIa5Gib6X7GZF12j3yWk4rhdqpgkEpgBnDOTa6mc2UbZEXUfFcoRbVDPQ3ylQfdyvF4ja6Qb24IEbHWWJ6dg67aNERcy8Rskv8i9bvpmD7zAm2YN7nod9vpNlsWb7NVjBZ+q+nS+ZOSQ1mwV4kbLjesJ4RdQoxdynQFAjQ/UmQEyNkuQ0mTF1XLy2Dx96+QV45llDiEIeHyRPpqaapkSHxjlCPX3TIH7+zmfjv//sKlF/aWoaLKk/DWON9uDis5vQrSRbpvepWq64D6LHQo2CydaaXElbod93OJyuWqHnk+nDjqNTyKX0UMNOILgGeV8mCQC5tIEVPRmcLFQb+obRuZmu2g1GDgSav3oypngOY8C6Af647MqXNYPjoV5aNAY0Fqw5soxusmzx+dmvaYpjlUo1W8ikDY2hK8NZDppv4hxXpyqWkDcTE0w9DBtqlAwdNf+9ePP35PuCXCbpfv+L55yJ//Wic0JrCv1fqjlirY8eo+N6oT0BreFks031iCSHC62fFbnBqeXXMWri2q73xx3VKMWtkWTmQHXMUYfK4Wne32swn4LleJiqWHjs6BRcl9cN0lhY258LJUNonaMxUa7ZoTljwxA/towZzBN0r3dnDHG+ZEz7+xpK2MnJgXxaR182hclKHcWq7TvoBa0ECO243jEWvDaufYXleCjWrND5zKX0oD2Lf836G8wc4tfF4wUu9402kybQNaF+UDJkaX5PxhTfL+PXtKd0XitLZNTa/iwsx8MPHzmGVb2ZYF8nrUljpXrs+V/KOFUCpYcAbGaMbWSMpQC8BsCPF/mY2obhmznQpkfYMZq6+LvuU6uWb2MqL1wDXSlhNdwKcWYOSUV6VcsJenOkggaB0R4DWb8wN+R6lwkWyfEYKpXmw6Ru7Cu6M35A4N+k/qaBU/B8gRDmCxkT01VbbDTI+e6BfWO44H03h5rlBQsGLySnRZ/MHOLORVfGwHiZGyjELV49GTO0EZQhZ9BkM4dcituolq1ooCT1UfLHAfVQWtmTwWA+heHpmmiQCPDN8WS5LjZc41KvI4DXVtACn0lwvaMGsGSfW7PdhiagNHl3CTtVLbRRn4oJlKISKSpYbtcePHBIi5wnyxHXgoJ5WqDbMXPwPC/W9Y5/LwbLDezz6TzRxqpQtXDv3lG845u/ged5wpFwXX+2ZUGq7XB3Sdr4USFzS9e7SDDxuF/XF5WIyK53/LtowkkqsJRtX6du6pqYJzJ+XQ7Ai4Vltz5qzArw8Veo8o1eybf+jX6/fNpAseb4tuPJx0PXlJIFdZs3j0wOlPj9lpJc76KBknyNMoYGTWN43VXrY/X7smEDFY6//3fPx18+f3PEHjz+OyzrTuOqTQHba+gMlu2K+747bTTYgxPixiZhRaTOoWo5qFm8KW5UIrPBr0cj1ym5X14z9OdSOOo3OJcL8Ye6Un6rCAcrezMNnye7z5FJR1fawJq+LI5PVlGs2qH7fkBy04uuAwQRKGUNcSw9GVME7l1pQ1wf+b3ltVVj3ETn2w8dxqv+/d5QPySyB0/5vbfipFflui0Cs3zaEHNZUh+lqt9y4uwVXUgZmmg6W4zYTBNkM4ekpBzB9G2iab14/nkr8OzNy7g5gr8XoHmr7rhiDYkGSt944CCu/fjtQvpG9zpZ5tP6vKyLAqVgAytvZifLdeGMuWEwj+eduxzXnL1MSLNSuhZ7f2VT3KQmaMwePr7hQg0rujNiHf38Hfvw0v93N/aNFuF6wT35gd89H//5x0H5CK1VNF+V/KawhI2+w27a1CXDIv5/j7+fiCJqwBEOlHigPlm2RCKC7otUzBzSCsLiXmtcPy2H16fL9+RZy7qwf7SEkemaSEwPROzB4yTsAETiLylQEmtKzBy3ZVWPWIflezNn6rhobR8uWtvnN73l54AMYw6Nl/G2awMFUS6yBkTt9Jc6TolAyfM8G8A7ANwM4EkA3/E87/HFPar2wZ15gl4PIitsBJkOjTE4LlB3PBi6JgZkSudOLWQ13AryhrN1oCRvaA2+uZaaRBKyvtVrqebAdT3RmJUmxjhGiSbmqXJ8oESMEm3+6UajDZfMbHWnjRCLQufhCb9J7MOHJoSlMU30NCms7KV+Rg5qTkKglDZEABEXEP3Fc8/EXz7vrIbHgXDjNVqIgaCjdqPrXSOjRI53Q10pLOtOY2S6GmJNqraL5/3LHfjKPQcABIESyfFW9WVx1vIunu3zz1/Wv750HSj4HRYLqhPDKIX74EQZpamKJRYmLUbHTeegE0Ypya5VZpQoMKZrk9QwUgYddlyvGt6rwmtglCjYnq7auGPPCH766HGU6g5GizX05Uz0Zs2GwDcKGnfEoI6VanBcr6VtbDSgpEApuvg1BkosVK8GdMYomTpDUfRB0sSG5WSBH3fQcDawK6YN+flreuG4HibK9Ybr3JXW/cbXTmKzWSC438nxquZvquJc74BgHjE0uY9SeDzIc2CzII2+P4E2SVdtGsR5q3rC/U2amH3IoMa81OumO2MmMkp6Qn0KEDBKhJpvuR/HTA7mU+hKGzjo9+Aju+9W6MulsPskZwblzLGha6KoW3a8IwhGSbKKzqd1PPecZaj7DEwmhlECkjeSlOjpzZqhPjY033SlDcEuyEE5qTWIhbxiwwBqtoutByfwc79RavDcIJEVl2wp1R30Zk3050x0pQ2YhhZSBNRtF7947AQ+6UunKZDozaXQnzPFWhf04wlfA17DFbBAzRglYr5qkb1CNqXD8zjDKB8bbYaj6oM9J7khAR0rJTuHooFSTyOjJP88Ua6L8ZdN6fjyG6/AxqG8YJyTGMxoAkVOvDmuh9FiDct70hjwj+eWx0/A8yAcEKkxdNQtkZzsaCwWa3boXt4oGCUpUPL/784YodYhBEoAE+Q9Sy5loDdnYqpihfpR0rER2nUcpe+iR1hlcr2bjnzG71y8Gq4H3LTjuFj/o/bgUbaOQL0Wkxkl2oM1zkeGruFpvtlEd8YUx5RN6Xj7c8/C51//NABBHePVZ/JAaXVvBq+5MhCBUVKAprx2G70vFZwSgRIAeJ53k+d5Z3ued6bneR9e7OPpBGTBSwM5aMLob3Z0JoqaLYf3EBEUp6mJaLwd+V0pxCjxGyMdkyngjjWOkDzlUrrIEEcn24zfPLDuuKIgsDsdSO9kRokmRio8TGSUerg7Ek3GlL0ld7dizRaLWZdfrEyg46MAg5ojAoFcgCZCcpWqNJHedWcM0dE9bvF6zjnL8fzzVjQ8DgRNVoFGRkmWEYpjl4JQCoZokzjUlcZyv9GkvPmbLNcxXqrjN35DXyqG/L2nrcWWVT24YHUP/ujp63HzX10jgh26DhSwUMA2Xqqj7jcjbgiUzCA7DPiTtpQBnKzUGxilaKBEBd30uVEXpCiIFZMXZdflMlV6rSwPBdpjlEiGEFdcy5s5BlnOxkApaI45Wa5jzO87kk0ZQkKSBArYyUqV3jMpk06I2mc/cYxL76JBQN1xQk1+ZaanNBPpnZ9hByD6KAEQtrgBo6SJLPxBPxu4xZeKjhZrDYFe3megq3Zz2SG9jiyma5Yj5sA4yNI70TxYYl9d1wtJTuMkczJk5ioazMrSuHYDJWoUSmOqO2OI6xOVxjQr/O7LmaG5qmo5IqMfBWMMG4Zy2O9fl1Kt0Zo69jP8c/m09f0h5y0gCNRW9jS6UwkJXMoQ1zaXMnD5hgEh4ZKPsydjiKAz6T6QAyXarPZkDfRlA0bpqk2DeP65y3HGQOA8Rzbalt+e4bN/dBnueffzoDE09BQyJGl0bKBU4330BrvS3H1RZ6H1tG67uGnHcXz9vgMAgjWmJ8N7EFLCIdq4lJDy+w4CPqPUZG6k7xVNqgZ7ATu0H6D7NdpnkDbVNC8Va9w8gZjZKX+9JEZJZpHkYGLncV7ztzISONN6nRQgRBOP4d5QNbgesLwngyFfCrjP30DvHeYBfFKCKZDeBf0KzRhGKWMEazLNKZxRipPeWaHPk3tg5VM6+rJ+oBRJRITnkM4CJSPCKvNWMlwuKQdtZ6/oxrkru/Hj7cfE+i/kvnrYmCOKE75td1xwCDQm36IgJ8SeTHBvRgNgCkI3DeXx5mdtxIdecUGIYaR9FbWnoaTOqYJTJlA6lUE0Ok0SQZYo0P/rjPesocxYtxiQhphQ26mPKIZqlFpL7+QeKLk0l2slMUqArEc2xMZ6ohTcgPQ8ummTAiXKDtJELkvv+Hd1xPmKWmPT+aMA4759Y+JvAaPEv3tvzuTMji+9i9s4daUNUYfSTA4Rh5TUm8GU5ED5tOH3iAlvrKtSEErfb0QwSml0+xvMUDNa/3uKDub+71duGMBN73w2BrvSSBka1ks22AEzRz03gs8dKdb8GqV46R1JtwyJUSIpowiUEhillBGuJ2u1UaXrLY9bCmDoOKI1Su0wSoEzUEyg5GftqD8TdQw/KZpT2qJ3yGTZwrjf3C+X0ht6tkRBixgxSiem/IbNrQIlaWPJGET7gDhGSd5Am1IAIxqSdtBwVpZ+UB8lIGj4GSe9o03Z5hV8MzIyXWvYwPdk+KaiarlNGSU6VpoH2q5R0lhsjVK0Lq8Vo2Q02eTIm5i2AyWN+YySw/sxmbq4PtF6s7ixSWCMiaDD0Bhqttv0XK4fzOPgWAm2z+a2MwboWv+5JJEhkPSvKaOU1sXxUN+1F/vF4PJGijEmNnVJgRKX+Pl1EFLDT8EoZQxsHMrjS2+8InSvUEBhu64IbLvSBs5bxVssyMcvJ7Li5pBSzUY+bWBdfxbLe9IwdQ1FKTFSd1yUajamKhZc1wutbZQYABoblxIoicQ/q7k80tQ1uF6Q4AoSYMH6WJH2A9QYNao6oWQizUvTVdtXg/DzQJvnoa6YGqWqhVxKB2PAw4cmAfCNsAy6zkmBUlRyJbMeNN8u7w4YJcJTfg1kEgMZZZRs1wux0Gv7s9A1xhklUaPkS++yhtgbyYgGQPTe1FOtLxdI7+S5Ilzn2J70LgiUoooM3l6hWLUb7uGXXrwa2w5O4NEj3Gaegg9Ro5SwLrWU3jXpowQAr7h0DV71tLXYvKJL6usUvq50jlf2ZvAPv7OlwTSH9lUXre3Dip60aJFyqkAFSgsAnpn3xEAWZg4yo+RbgFOzxW5Jj03W2u007Cq1XaPEe4yIxmApA/mULpovAsFNLDcXIzvcrkwgvSvW7JBEApCkdwnd2GljRccopHf+5rhUs8WkH6X1KWtGi8DOEwXxN5oA6VzlUwZvYltvUqOUNsSGtJkcIgmDUmYnJTFjOTPGzMFyxTmicfDE8YLPWHApS0UKEgGeeQN4sXbVcjBRrvtZweRJmTJ5JwtVUXBPOFmoculdZNOVEtI7Yo2CGqVowEt7yKh8iMwcKPsdZ8ksg86FPG5rIjAi6Z0DxoLJuR0zB9qcxjJKvqxFMEq+5l9mlOj7TlUsTJYt9OVSQfDZRH5HG35q6HjCL6RtxSgRs5I2NKyXMuZxNUryGDb8jTkgBUod1CjJrEnG1MRxHp2gQMlPAkhmDsf8njg07keL9YYMY3/exGTFasPMISy9s10PVatZoERJCS22Ril6vyU1uiWYoU1OeJ6RpShxTHQceI2SJ+rSTOn6dNJwFuDy5IypYVl3WjBKSezcxsE8jkxUBOPfjpnDSy9ejb98/mY879zlDX9b4UuxogwCEGTas6YuMUr8/xsuXAWgkdWkegqSUkWRMjRsGspj3UBOXAceKAWMUhwMnRKMXiiwvdzvk7SiJyOOTU5kRQMKXvPDr9k/v+oifMJvShxllIo1G67H1y1SL/BASRdscyFBekdzI8DZ32b3Kd2XwqLdDKR3AE8IyGOdkklRNQjV/pFpQ6lmczWI/35TFQtpQxPXJWrm0J9LoSdj4tGjkwCCejgCbYDbl94F552aAa/wa3NlEKOUNF5o79EnsT7RBNJzz1mOi3yDIUCW3nFGyfM8HJkINuzRGiUK0vJS4F6xHIyX6qHxzRgTTarbTajQ3i/ezMGNNWR5+aVrYGgMP9txHH1SXzTapyU1nI0LlB49MomtB7gSJ6hRij/21X1ZfOLVF/vKosDwJnTcBrfvl+sRZVDAvHlFF9YP5kP1g6cCVKC0AKACPeF6J9zcgowA9Q8iCYE8IDuS3tXlQMkKyXRkZAzdd5uSpHf+ZxKDQRrYrKmLG4AKVrvSeogtoKaeNPnL0rtuP9sY+nx/oiCqPyq9K/uBDdC44NQdkt7x45Q9Luj9qCaHXHoqloN6Uo2S9P6tpGJxGJACpS2re7BlVQ/WDWQTXO8c8X3qjoepsoVbnziJ37lolf/5dKzBl6LNt+vxBp1jJW7L3CwIoQXq9V96AH/7ne2hIHu4UI2X3onC7EZGqRAJeIWZQ0wxat0PwFsZOQDBtZUXaFrshZmD5cCQGIR2pHeO04xRChdpl2sOirVAylKQAqXJsoWJch39OTPYpDS5D2nDT53cyY0xye2LQMHEmv5saHMazRJGx7DhuyQBQW1Ouzp5er04Br+pdE/GiGWUqJfP8akKVvVlQuxx9Fr35VKiALwd6Z1cg1iKOFjJoE26kWDmQIkfOgftMkqMNTJx8sY7Tr8fB1PXYLmcUc2ZunAvA2JqlFoEShsG8zhzWRdn/20X1RgDFsL6wRwc18NOv7ajq41gefOKbvzNC8+OnUdIstycUTLEuKXz/fSNA/j0ay7Bi84PZ5T782botXH43tuegb954dliPqZ6ISBZ0hRI78JyTaqrWN6dFuPU1DUxx0WTLXWHN+3Opw0s785gRU8Gph52Dq3brlhfJyv1UBJQdoWlRGOUDZHNHHj/u+T7lOY6CtTod1kpUInpSxUNAIX0rhRI7+T64mLN5nVHvtOpLEmbrlrozhiiyW3G1BqaqdIc3Z0w50TnBSsUKAWMUsbUxXfLp3RRw5LIKEXMHIDGe/SLb7gcb372psCdTkjvDFQtFzc/fhLXfOx2ESxN1+LNHOi4ev090NGJSsMcS7Xk7YICjajzJamPxkt1ITslrOnL4pWXrYHnhU2kaA5LNnPgc7ms0vn4zbvwd99/FEBr6Z2MLknpJCOla1jenU7ck6wbyEHXGC47ox8bB/OKUVJohKHxOgBRoxSxeTV17sxEG8SUzsSAzKaCCSQqK4lDseaISbXgd0iPA21e5BoKYrFGJSkYPZekGE/5mZ6utBliJOhGoBvIlTbYcZvEgFGy/HPAbzD6rqVa2MxBRpRRAvi5HOpKiQ13VdSBcXmIcL2Lq1GS3r+TbDyBrFZNneG8VT246Z3PRneGb6yj16wm2cbWbRc/3XEMddvFq57GCx/pNZbjisLHMWkTufvkNCZ8KVgz0AI1UbZwvFANB0rTNT9QipfeCdc7qUYpyijJ9uAySHpXqbstjRyAYIMlS+9osadsZc12efG+2Bi3dn8UjFLM9TYjtQfluiPuA4AHbfR9J8p1TJQs9OdToSCe8O2HDuGGT98lfif2j2ouSF7SskbJv5fW9udCjmfRLGEtMoZDZg4SO9wuotI7gGcQ9/gyz6zIxvvn3nVxbLKCVb3ZUFY1eq37fIeoSgvpHR2rfJ9M1+xYq1pAkt5JGxNZRkPXhoLNloySJNeKLvK0iUnFOM0lvx9nYSt1B9mU7jtHxjNKzaR3APC+l27Bl95wBdKGhprloFp3Er/POp+FJHluV7o9CVASaAxG3fcAuUZJF2sAjQXGGF52yZoGCRLNV81cwfrzKWRMXby2J2vi4nV9+KsXbMazNi+LfQ2ZOdiOGwr6iVFa3pMOai41LTHZIru/Bu8dPtc1xxWs0UTZCs2JuZQh7j+ay2IZJalGqZl6wWzBKFGN0lBEsibXKNmOKyR39D8xFXKSLGvqYIzXRUeldz2ZgNXbMJhvuEfo/k1mlCI1Sq4sveNzLu0zBvIprBvIYuOyvFgDkhJMNFfJ82pSckV2CAUCedy2g+NwvcDWvVi1Q+OWrMVp/JB8OhpQ8c9mbcvu5OOP1igZOuNOopYj7NdlvOO5m6FrLFQbTfNInJzU83sR0jmgMVuoWNjvK1QCM4fW4cCl6/pw5YaBhiRrytCxIiapQjhnZTd2vP86nLeqB+uHchgt1kJr/lKHCpQWAGZk0Y8ySobPKBF9bvpZXSCwmQbal96RE1uxZidmCUjOR1K63lzgkU8BCL1PNqVjeU+42DKf1kMbtu6MweVjfmZKZpTiNolR6Z3sFgfwTV89SXon1SiRRGRFTwY9GVMwH3QuMwY/f9Vm0rsQozRz6V30vWPNHOxAemc5Lr6/7QjOXtGFC9bwwnhyq6tZLjIG14ePSQHhrpPTnFFqESjJ2vBSkvQuwfUuLzYWAaN0dDKQSQDhjuEyKMNbsdpjlESNkrRAExvYJWqUfEYpob7gH3/0GL4caXjcvEZJCzmjleu2CGgAP1Dya5SOT1VQd1z051Li+8hB1mNHC3jieEEkOcZKdfRkDOG2RPISOfMZB7of1/Vnw4FSTB+ldIhRYmIDTgvPTBkluiefc85ylCTpKiDJOxwPxyerWNOXDX1Og/Qul4Ltd2JvxurE3W91u5n0LrDEpXtgUjKTofuNMt+t+lfJlsFR0CYm3cYGIngNr38jRlW+PlF2sBWj1JdLYWVvBmnBKDmJ9xR9X5IszSThI+NF56/AO5+/Gef5hh0yLl7bhxduWYGL1vQGrnct7nURKLVIGAAQa19/LgVT1/BXLzg7cUybvj245Xqh7Pzqvize+IwNuOHCVeJcpIxkMwe6p+Ua1aihCEnvAD7mAjOHaI2Sfx/GBEpUh8x7lDWpUfKPs9jAKPmJhTqX3i1rcEcM5rWJsiXUFpOSI1+Xb31OoEQGD5RkMwcbPVlDsHqbloVld0AwzhJrlJpK77hJDl2TqzYN4oYLVgk2k44pDldvGsRLL14dagyeGCj5ZlZ0TknOt/METyqM+OZJFStsyc0YQ0/WDBglaew2MEpGZ4ySKLuIUWQQojJHADhjMIf3v3QLXn/1evEYjfs4RqlQ5QH1Zr8HFQVKpboD1+OuiK1qlGRcd/5KfOdtVzes+8/ePIQXJBheEWjskjopyVxiKUIFSgsAM5I1CGqUgmytrjGxmeXSO1M8JxeTyU5CsWaLRcn1kgc/ZSZPFqrQNYbutCGYFWp6SU44GUPHYD4FjXHpFwB0p83QBiif0vGMMwdx0dpeX0bIH08KlOi1dLME0jvajEpmDlFGyXbE5v/KjYMA+EZBzoglS+8aF3Q5+zoj6Z0fUEazQ7kUp/jlxYFL7/jn1SwX249M4bnnLhcZa9oITVctpPymmqJvUsbAHp9Rimq6o6AsIOns5UBpuFCL7W9DWUsaB3KN0q4TBegaE4ulcL2LqVGq+X2U2mGUUr6uu1iPYZSoRsl2fakVuZyFNzk37TiOmx8PWwE3db3TtVA2S2aUVvdmeBNO/+8HRnm2sT9nxjK7hYgd/VipjsGuwPnLcjzoGmsZvORMHQP5FC5c0xuyho41c5DuaVO6RuWaA42hKYMThRnaMPHv98ItQc0KfWc6j3RuVvVmQvdlJrIhIoncSLHWVo1Ss+MKva/EKOX9hofjkplMlFFqZSYiN6Fs+JvEKLULShRw6Z3B+1wJ17vOpHeEDDFKTeq96PtSEXwnm7Y4DHal8dcvPDv2GPvzKfznH1+Owa60ZA/e/PNoc9SKWQV4xv8Lr38a/uDydS2fa2i89YbtuA3r7Pt/93w848whKdjXRGCx22feCDRuktzMsqYu1h2ABx5TFQtZPyHC7fD5e0xXLb9hcXwiiuaKZvJIem2pZkPXWKghOx1vuW6HggogLL2T5awTUo0Ssae0Kadr2J024xkl/5ptjNm4t2KU5MCeMa4GuGP3CN5841Ycm6yEAr1PvPpivOeG88S+I+4cEras7sG/vfbS0BqTdJ8GfZSY+J5AYEE+Ml0T1zU6T/dmDTG25WRXlLGVGe52IJddRN+HsCGGUQKA11+9QdQCAhKjFBMokfT7nJXdAIL9Fn3fnScKYj1th1FKwntvOA9vf+5ZbT2X9hnttLtZKlCB0gIgqp2NmjlQHRG5cJmG7Hqni8kgyfXuOw8dxt5hftOXpEAJSC7Qoxv1xFQVvVnTp94j0juyek1porcG1S5E6ftcysC/vuZSvOu6c6BpgCsxSnHZ9EYzh6jrXcAoNUjvbFcc4xUb/KLd3gy6M2ZDjVLaLzimmqe48yFP8p04hhECM4fwdSZZhLxgVS0X+bQOjfFz47heiEan81KoWkJTT9aul6zrw+PHCm0xSmev6MKNf3Ilfv/ytdzMwd8IDOZTODldE80rZQSud42M0q4T09g0lBeLPWWUYl3v/OxcO4wSwK+vzCg95BeZkiTDdnlvMZrI5foCy3ExVqrjiG8+QGjGKKV0LVTLxwMlPp7OXN4ljAyAgEHtl80cpIRFQUgZ+PuNFWtiPNC17JGaEybB0DXc83fPw+9fvk4wSmlDa7CUbqxRCswCqP6gXZkYEB6zNB9dsq5ffAfKetO5J5nKqr4suqR7JWeG7xsa057XPHBLSky0EyhxNzUz1MeNNqvtMkq0AY3b5JgzCJSIQaLCcFNncNygj5J8z7UdKBGj1ETGmDF19GZNIY3uxCJ+NqCEWyu30DOXd3HVQVfzeYtw3fkrW85xAGeJqOFsVLlBkGuULlzTiw2DOXx325HQcyhxIgfu8nXPpw3ULFcwrZPleigJmE8bqFgOHP/axwUO9H7EgDa3Bw+kd1GZHBAwSg3SO2nzKSsRJiV7cFG/Z0QCpYj0jsYwJd3IcltGqxol+Xz2ZExYjosH94/htidP4u49o7HSTlKvJBk5yJDniaQ6QhEoaeF7nfYQI9O1xN5Xf/T09XjFpWsAIFQzFL2+GVNvu9ksPT96/ECQnDE0JuTbrUAJWsdtDDzIDfFcP1CiIL0oAqVpsZ62SirNFWgPETUeWcpQgdICINo8MRiYQUGfrgXSu5TOkEvxzXTW1ENON1FULQd/94NH8anb9gDggVJfLiXqW5IGv1yjRBmjLjGB8Ik8uuGjCQzglLv83nImhowpgCbSuxQFBGFpAX1WqRaYOTQwSpYrjvGMgRyec84yPOPMQfRk4xmlXEoXXdTjNj3yJN/u5l4GLf7R96ZsGRWtAtTolWfKxv3eMfLkLM5LxUZKZyEG7BWXrsHxqSrG22CUGGO49uxl6M2aIUbpjMFcYOZgRgOlsIxClg3tPDEtslJAsj14WqcapfYYJYCPO5q49w5P46M/34lrz16GqzYNiOckmTmMFmvwPC4hlZk7+r5x3eKNhholGycLVXRnDKz0+1gRyJ2nP59C1iTZS6OzpGCUinUxHjIRC9tWyKa4SyCxA6t6M8JAgRAN9nWNSWYOjZayrSCzoMRW6BrD88/jrBJJOGkBJzOX1b2ZkLwrygzJyZFmwUrG1MRcJd+HzfoodaWDDXd/LhXq41axfOldm4xSSgRKydK7Thkl2/H8niwG7z8lMUry/BJloJOQlhmlJudyZU9G1DN2Ir+cDeh4WplH/O7Fq/HAe58/I8a+GThjx42Sks5nECgxMMbw6svX4cH94yHnrXJMD7JofxzZNWyibKFQlQKlVCAZj7qnEWgcEQPaTB5Jnz1dtSMJySBpWqk76EoHTHfKHyeEUX8s9GbNoEZJCuJo/g+kd0Gi0XW5+21P1hRJj1hGiVzvEu3Bg8d7srynGNVR2a7X0FgZCHp4tRN4yMFRsvTOD5T8QDoq/xxuEij9ybM24pWXrQUQld6Fr90/vewCvPMFm1seL0Gea+OOdW1/NiSLboakhrNjxRq+cf9BABAS2qkKd/uba0apE9B4jvb8WspQgdICICoJqAm2I8h0aIwJAwLKlq4byGF1X1Y8L87t6/B4GZ4H3Ll7xLeVdEKOdInSO/89TxSqYuKIZlpkMwcAWOHT/CldQ9rQQ5vQnDRxaFrrQCnJ9U7TmKjtqfnZ81Tku9RsJ3SMX33TlXjtlWegOx2uUWKMH2vQR6mRRQGCADGlt2/vKSMwc4gPlGTTCd6/iH9O3KaGgoupigXTCFya8ikdL79kjcgM9SfYcEaRTxtwvcD1aMNg3q9RamLmIDFKtst1+UcmKuKzgeSGs8LMwbdHbusYU4G+/0M/exLZlI6Pv+qi0EJh6AyaxkQNCGHYZ4Ic1xM2qABEjVHc2EuS3q3oyTRsmCngkqV3IUapGhTHArxxKo0HUXDc5rUiXLimF39w+To85xwerNjRQEmW3ukB69TKcjgOsrxM1p2/5Zoz8Y7nniUCHprDDo/zDOXqPr6Qi6x0Q41SuCg6CYwxMeblBo9Jm4SUoeGWv74Gf3AFl2UN5FOzZJSSpXc0ttu1BgeCHl3TfmG4qQWGKLYTNjhpM05CxtS5nLVFoCQXU3fP0syhXdC1bRWgM8bmPEgCSOrocUYpIbimTS3Nz7932VpoDPjWQ4fFc2jcJDNKemjOmKpYDYwSwOWvhaoVG3hTrRspDFo1nAX4PR1aZ0mGbzl+09rAsnlZVzq0RyBG6azlXX69kodi3RYJCXrfjMR8U8BQqnMb9J6MiQ1DOeRSOs5a1sgoiT5KCUGNnBjoTnNGSWa94hglWjfbkbKFGaX4G0rssxLYY84oWf7fku+b7owhkjpR6d3VZw7i3JWN9XxJyKbia5ToGOWeiK2Q1HD2bf+1DXfsHsHfXnd2SHpXtVzQU588Po267Sa6I88HAkZJBUoKEhLNHBoYpSBQAoCf/H/PwtuuPVMs1HED66BvszhdtbHt4ITIKtNgTA6UqFDeFZshEShNR6V3YUYpLxYeJiYOeaHUNd4Tilic5q53YekdwBeDYs2BZXtI64FTEZcI8vNANswUzAFoYJS4GQJDNqWjVLO5vW5CHyUgHOx1gvUDOWgMDdkxOraREKPkB0pS7ZGcOYuT3gE8mNM0hr+7/lwA8ba9caDvRsHallU9QsrX6FwTfBbAa5QcxxN6/nOkhUBr1nDWcVGqdcYoTVdtHBgt4de7RvDGZ2zA8p5MaBGRs/txFrMAcFjqiZHU6Bjg91dgnMJQrts4PlXFyp5MSO4hj63+XEqMj7D0jo+3QpU3oRwv1YUchu6bdhklQsbkvVzoGsvyuwbpnRY0gi3VnI6ZBLrvotfqrOVd+NsXnRP06vCfd3C8HBrr4t6JvL5Xkqk0q1ECgs2WHPw3y26u7suK+a0/H2GUOqxRMpsESnQMHUnvfIaDWAVduj6264XOcyeMUtVyuMFLU0YpzPgvBNqtUZovUGBqu00YJapR8q/1yt4MXnzhKnz13v3Yc3IaH/rpE3hwP5f7hmuUgvknel9NlOs4PlXFssiaWKzZKNZsYUghIyq9axZcBvbgTmj8EQM7VbbgenyOofl6WXe6oUZJYzw5Nlmuo1x34HnBtaL3pTEpmznQOtqTNfDSi1bjvnc/P5TIIJD0LmneSRkaDD/5mTI0WK6Hmu0gn9KRT+miabWMZX5Cth3jD/n+TkpoCEaJjFtCTnkMI9O1toxwNI2JubydPmXNIO/9ZNDvcexdEkTDWSlQclwP249M4U3P3Ih3PG+zOO6piiVk5xuH8hgv1XFsstJRMmi2aJb4X6pQgdICIDqBE0UaMnNgTCzyshMTFfQD8QPrwBiXD2gMuO2Jk7wru9R5O+kGkBdskt6lDd2v3+ANPjcN5WHqDGf41rNUOEqTBGNMfI6ciSPpXaHJZjUjAiWr4Tjzac4o1R0nxCh1+d+rLtUoyfVY3RlTWGtXbUdkOzOmjtFiHXXbxZbVjVmfpM1eu9gwlMf9730+Lt8wEHqcNtokEwQ4G0aOaLJJAyEnpHdWqJM8HeNzz12OH7/jmXjBluYOMwRajEeLNaQNDX/8jPW4ciM/zpY1Sr70bpfvDnTOihhGiTVmxCp1B8PT1dhmlXHo9nuQ/Nf9B2FoDH945RmhzwCCzBv1QCKQqxyAUJ0SSTrjxp5sPd2XS6Fcd3Bkooy1/dlQRlG2ZyULYIAHvj965Kj/OVJj2grfvEQlq50GSoS4BTAqveOMUiC96zRrT3NTKwMIYngOjZexoicTmK9Qv7cZSu/k1zbriZKEgVyEUfI3AeSG1WoDH7UMDv1thjVK01UbjuuhJ2uG+lw5rhc6F53UKJXr3Iym2XUKWDStbdnObLH4gZImGs5GJe4EERhI5+S9N5wHBoaXfOZufPHu/fjKvdw1U75/5GA9uoEema7h8HgZm/wNrZDe1ZKldzS/UqJqJtI7YmBpTZEZpeXd6VDdx2iRt5EY7EpholwPggGS3jXUKJko1mx4nifmte6MyQOEBNdOOl/N2B9qcWLqvJ6sZrtY1p3Gg3//Avzuxasbnt+Z9E4KlBKuf9CGxW8FkAqYofNW9WB4upoovYtCBEqzHO9J9uABoxRv5BCHwJE0WBePTlRQt12c6ZsvpQ3eJmWqYgn1xiXr+gBwWX278+1cQEjvVI2SgoxEStgfMER7VkXjr/Cg1TTu+BVtkgfwjUt32sDVZw7ix9uPAfADCrM96R0QOKQBwUSRNjSsG8hhx/tfhIvW9gEIaHI5Exata6HjdT2vaVafvjtNUPLCnksZokbJ9GV+/HEu9+OMUg29WTP0/SiLN121/cJn/jrasDIGPOusoYZjEcYZs5j8ou5DAF+g8yldMEqe5wWMkqEJVkzOTpGEadq3dg9YnuAcXrS2r209cV5ilLL++fuP1z0NN1y4Ek/3HQMJ5IJH0gwyc9h1Yhq5lC6aqAI8MB/IpxqKicn1znI80YS4nWMcma7hu9uO4EUXrMTyiAU5EIwPU9dCzXhJeqexcKAUNINMZgoALhEbL9UxWqxj3UAulAle7ycIevxaExpHX757P975rUewd7go2KWpsiWkLrLrHcCdk2YCOk7ZIjwqvTP0oI8SmTl09hn8HLeUqPmL8cGxUojNTAqU5KbZrYIwmk/kTG+7wUl/zsSkb4oCcEYpbWgY8J3ZXnnZmqavp811LKNELGZH0rsgcCUzB2IEozVK7QZKaUMTCaV2pHcLVZ8ESMmVGdR2zgUMncGyecNZM+F8UkAiZ+/X9GXxNy88G4wBV24cEDbacvAij0H5nKYMDTuOTsH1gsy/aGtRszFdtWKvQQOj1OQ60bGWanZDLWkuZYhEoRwoDXWnQ3Uf3FgmLRrG0msazRyCe8D1uHU0MeWtghW6Z5slg6jFCTlCcvm5nmg8Q9K7tswcIjLkOASud4G8n87BJev6MFG2RNKyFVPUFylTmClonW90veO/t7t2AvH24E+NclOXTZJcsjdrYqpiiYCZ2LyDY+VYN+D5gpLeKcQiKVoXWQVfetesqC6la7HFbwfHyjhjMIc3P3uTyALJnbeTsyzBjSFPckGgFNYvA0GmR54k6P3lIIMYpWaBEmXGog1nAb7okuudHCxwSaHm1yjVGzbplBWerlqoWoH0i/6/YHWv2MTKoElzPhb7oe40RvwFynI8eB4PSPiG3w0dt3ysnscL2mkxS3IVagX6biPTNfHe/fkUPvdHT8OFa3tDz13Xn0XW1EXQZ/j1FQfHSg3NBhljuO1vrsUfXbU+9B6t+kDEHmPGwPB0DYWqhbdes0k8rmkM9JG0UU/HSO8G8yms7MmIDutAECg1K9IHuJMRBTtRRukMP6tH7lu6xq/HtGQ8IX9e1ASFFsNoh/V2ETBKsr18OFCSzRzKdadlUX0UFIC2kknS+Z8sWzhbYhbp8+LYWGKImvVRAiRGqY3mkVH051PwPOCRw5P4oy/ej+NTVcHKvnDLilASKA5daR7MxElZaQPS6vhlyPNYd8b0G84GfZTC0rv2GSXaAzVroEuM0kIGSnR+kxiH+UZK12C53PUuKmMiyK53Mv7smk3Y/r7r8L6XbgHAE2ny9ZGfLwc1a/qyIsFHgRKd81LdEfVpDccqzBwCNigJ9NkVy2kI1Ff1ZoQcOpsyhIKkJ2M2SO8Gu1JC0kr1hUGgFF7j5fVzjz+3ycmxOFx79jJ8+jWX4PwYpQYhlzKQTxmCXa3aTkPwJyNj6njBeStE649mCJs5xF//uL1QT8ZExtRE7Q4pc1oFhlRvOmtGyT+W6Jg9YyCPXEqPVb4kgdYz2cyB3C83SWswBUpUj7d5Of/ufIwpRqkZFocvP80QpYcpIBKUsBYupI7bJKRNHXWncWAdGi/jvFXdeO45y/GLd16Dr9yzH88/bzm+8QB3O2llDw5E+gNkkrPAglGSJom4jKKu8T5KzQIl+oxKpC6L3n+yYol6DCHvS/NO8DU/OxYNeii7VajYoT5BtBG75uxGNgmAYAvmo9h4WVda1HyRWQfVKBHipHcAmXo0PqcTUIZ0tFiPdRiSce3Zy/DwP75Q6vGgwfOAyQSL94EY5z15MUrqAxEFBYGvuWKdYC8Jhi+1owXF1FlIejcyXcWy7jR6MmZYelexRI1I4zHK0rvge63tz4nJO21oImCUa2dyKV1sRp4aCVyzClULY6UkRmlmm0gzJlNYd8J1dqYmmTnU7I5ZUbrvWgUD8v0pL+JJjBLAz+2RiUpLtioXK71rL1CiMfi9bUdwz94x9GSMpgXZUfRmTdzy19diXcyGkAKZThglOQiPMkozl94F79nMlTNufp5v/M5Fq7CuPxvLqC8EDJ0nCizXTZQbdiUESgBfB7es6sHm5V04PlUNMRzydZeZhjV9Wez3HfMCRimQTJfrTrzrnU7Su/ZrlIBG584tq3rw7a3ciCLn21L3Zk0uS3dcuK4HTWMYK9VxwZpeYaxCiSQRKEnSdCBYY4pVGw/tH8ey7nRLCVjK0PCyS5qztlmTr9umbw5EhkbN8MU3XN707wTZKCspKZxN6fjUH1yMqzcF6393hqtuyKDqtidOYnVvpuVxRc07ZopAeheeA562vh+Pf+BFHbV4CBilYF3cN1pCb9YMrdFBoMSD/MGuFAbzKYyV6jMysZopRB8l5XqnIEPOGsgZqxCjJN0XSYxStEbJcT0cmSjjjAE+WW8YyuMDL7sAK3qCGz5pAyQvviFGSWp0G8WKnnABN9BY1wJA9FFqFSglZ++4+ULd9kJOdMSU1WwXk2Ur5KwFBBP9dNXya4H8bLm/ubj27OVIQlfGmJcC6KGugFGiiSFtaCHJgLxgRs9JnLSxE9DrijW7pfU5Yyx03WncTpattgM1uWYt2jU+Cees7Maaviz+14vObfgbLSRi0xrDKC3vyWBtfzbU/yjJbRGISu+ChWTdQFZkFHuzpti4y+NMDqapuSd9HmWKybp69jVKgfTuR48cxePHphpqlAw9cJiUe6S0i8DMoVWNUjBBydljGrtx2XE6t81YEP7ZRuj58nG1Ar3mgf1jAHhtWrtui4SNQ/nYTTY91kl/Efm4uWQzbOaQNrQGlrQV5I1yUzOHRZDeZUwdT9/UOvM/XzB1DY7rwXLie+QBwRhNGlOMMfzVC87Gqy9f2/DehO4IowTweYEYNVr/TviNq5sxSlSj1Mw8SDaAirIvcqIil9Lxtms34Z9fdZEYGxXLwUduehL7R0vYOJQXx0iJJNnlFQiMBWiOL1RtPLh/HFduGOhow56Etf1ZrOvPcemd7YkWGXMBckIFmidXXnHp2lDN7OYV3bhkbZ9Yo45NVXHd+Stbft++OapRykrJyCg6Peei4azEKO0bKeLMZfnQe/FAyRZ1nPmUIWo5FzRQOgWld4pRWgDIEzgvqAt+BvhA10OMUlwWvDFQOjZZgeV4sVkfQTfPkFGK2xwMdqWhsWig5Bfzyq53bUjvgECapLFwdjWXMlCu2YJRou+QT+lCehe3EQ4meguVetDF/oVbVqBYtfG09f2xxwHwyXx1mw3eOsGy7jTu9zdxAVuhC6vYrnSY9chGGCWaBGfqsiMzDO260BHosyfK9baz9DThrh/Mtz3hv/KytXjFpWtin6+LQEmqUZLNHAo1nL2iG6t7M/jhIxWxCLcbKNHYz5galnWlUa274nFaFKOMUm+WFz3v8xklXWNCesdY8Hy6lu24N8VBFOm6Hj7wkyfw/HOXx9qDc3tkXiQ90z5KrWuU+PMYC7sfUnIhG/O5dP7bZZTk69Uui0MZ030SuzebWkMZMzNzCMt7dI3XLHmeB8f1oGtMsKTaDBilZhvMgVwKps4WNFBabAiJWt1JDDyDBtrJ1/ElF63CSy5aFXnveNc7kqPJzmT0GSR5imPv6dpNlOuhvnBxCKlQ9ORAKZvSsXlFNzav6MZ+/x64acdx/Med+/DaK8/A2597Jg6MciaJeqBFGSWyqqY5fteJaRybquItG5LXy07wmddeCgD42+9uh+W6qNkM/bm525inDA123emoD9BnXnOJ6L9HuO781gZJT980gMMT5VlbaQdGXrMPRBljvopHDpRKuObsZaHn9WRNPHl8WjBK+bSO1X0Z7Dg6tWA9lIBwm5dTBafPjLqIkBdPebMaNJzVIoFSDKPkF8mPl+r4628/go+/+iIc8ic+KjqX0crMgTbhtuuFrHy7hfSucUHWNYbfu2wtnr05uAHTEdYG8PsoSYxS0kaRApno982ndJTqvO9RStfEZ+RShjgPcRthYgMKVRtVO5A/LO/O4K3Xnhl7DIQb/+TKebHIXNadxmSZM1yUQUmbmsgYRpka+bynDBa4cs2UUZLZqg4z7TQmpyrtM0p0LduV3RGSgirBKAnpXVDb5boeRos1LO9O47L1/XA94HO3P4W/fuHZKFSsRL15OFDiY39tfw6MMfE9e7OmqLvol+QLT980gO6MiR/85ohglFb1ZlCo2Bgr1tCfS4nzRtcyTrbYDug7246Luu2G5KgEbj/touTXWc20j1IrC2+5yFjeNArpXcx8IRilGQRKndQoNbzfDN0ro5ipmQOB+igBPNi1XS4hJXXAzBil5GPRNIb1g/lQY/DfdtC4LNed1tK7DrPm4T5KwZinhNrGoaBQnsbcrpPJtT30fofGyljVl2maSJIlZVFViNzPTma4aZ2kliHvuu5spA0d/Xl+X+3z5YJJNUpkZPPzx44DQFs1Qu1Adve1HQ811tzmvlPwe87pKOhgjLc2Ifa/L2fiyohrbRx+56LV+J2LGp36OgXdx3PVu0j393Ifv3kn7tw9iuHpGjYtC9cI92XJ/ZCvFV3pxWKUTj3pnQqUFgDyDRxlcl5y4SpcuXEAjx6ZlJ4fU6PkM0pPHCvgjt0jeGDfuCgoPSOWUWotG8mYvImevJGjzWXSxunjr7644XOijVp1xuC6Hoq+DCZpMqCNe/T75tKGMHPIpYyAUfIb6RZrNiqWkxgoRV3v2kE7VqQzAVmEjxXrkvROF98pmv01dc3vDeJxe3B63ixrlICZM0qe17wRnww63k4a5jUDSRPipHfj5bro7v6cc5bjlZeuwb/9ag+ec84yTFUsnBnTIJEfYzAeSVZHNSpyoERBlCy9+9DLLwQA3LVnBI8dLfivzeHQeBkjvrEEYbbSO5lRqjvc6dFxPaT0sDzScj0pSzhD6V2LIJo2oVtWhYuMhbV+rPQuYOuagTZ7oUCpzYV7QGL7nra+H9sOTsyZhHYmjFLYzMEQ5832m6IavoMp0IHrnXT+Ws1pX33TFacVo0SJpIqVvFEmiVuSK14Swi0rgtrdAX9zLW9ENY0hn9Kx12eU1sQESrQW266HC9f0NvxdRkh6Fxl/3RkT6wdzODhWDt13FPic9FkSup+WdfFaI6qrarAH91+3qi+LgXwKd+0ZRXfGEEYHcwXqeeXB60jO2vp9O09oENKGjjV9WTx789CCWeoDyTVKM4XhJ8x2nyxhx9EpAMCmofD6t7wnjbLfugPgY5pkpAvJKBm+SdOpJL2bt7PDGHs/Y+woY+wR/98N0t/ewxjbyxjbxRh7kfT49f5jexlj75Ye38gYe8B//NuMsZnZSC0S5EGYidSgfPaPLsNlZ/SLBp5A/A1PjTypKe3hiTIOjpd8x6a4Sbm56x0/Fv432W0qSsu3Arf5DC/eRAPbrtf0BqTPjy5w+ZQOy/FQrvM+SrIrT9rQhSV0dANKCwDvPt28i/1CgTTQo8VaIL0zg8AyjqnJShm44HkzZSUCM4yOGaWQjKi9zRcdb6eMUhICRilYDEl6R+OA7MQ/8LLzkTZ0/GT78abSO3lBpGBonc/KGrqGXEpHT9bE8u40nn/ucjwjxlJebka7biCLQsXC7pPToeCM6n5mHigFm2zLcUWtW0h6p2mwHRfl+swCpbb7KPnXIerG9KLzV+Kt126K3fj0dsgo5dNBUqTd7HA2pYtj/32/xiROBjgTyMF5+68JMsXUOwYAd2ZzPeiaJubE9u3B2092rO3PtXT6+20CnV/PS97srR/I4XVXnYFnxtzHTd+behFK8u+utCEMAM5aHt6I5tKGaP+wLMZdVR5H569uESiFzBwavxclLLKhQIk/b3i65o89kssyvOTCVf77soa9AUngu9IGfvFXz8afP+dMvOuFZ88Z20Eg17ua5ba9v2gHlPjqlDEkfO/Pr8Y/+s6HC4WgPn1uzgOpg2q2g/WDObz1mk0N5lUkB90/UkLK4PMQMUpzGbi2Au+/qZ9S0rv5Pjuf8jzvEv/fTQDAGNsC4DUAzgdwPYDPMcZ0xpgO4LMAXgxgC4DX+s8FgH/23+ssABMA/nSej3tOEQ6UZNkMpJ8l6Z3ROEGldC45I+e0w+MVHBorY11/LnZCa9Vwlj+nsYYiag/eCmlDa3CL0xjvo2Q5btMNjxwQyKDN3kS5jpSuIZ828JnXXorfu2wt0oYmNoxRSZ/u90cIGKWFu/mTQIHSyHRN9E3qy5riO8cFQDLTFm04OxN0NZFHNYOcgW1XekcLQLvW4K0Q1CgFrndUtEoucxS0UKb10HiZB0oJkre4GiVZKvMHV6zDdVtWwNQ1fOmNV+CyMxq1+rQR0hiwsjeL6ZqNg+NlnCcxLjdcuAr/8JLzYq2n2/ru/r1Tsx14XhAYRvsouV7Qj6xze/CwTDAJa/qyWDeQxbUR3fsFa3rxnhefFysj2rQsj5ShhVi2ONB4z/o1iEBn2WFila6/YBW608aM+1ZFQS0MOgk+6Xx2+T1iaNw6Dq9R4oxSZ4FSpgNG6XSDfC8n2YMbuoYPvfxCkQz5/9u79yDJqjpP4N/ffWRmVXW9uru66VfR3djQdMtLCwR5yktaWJARHcbZoWfFBWZxZjZCQ2GYCdedIUI3YoeZ2Z1xF0di0VgHCRyEHZlwUNnVf1BxYRVkHVvEFURouqHpB/XIyrN/3HNunrx1bz5v5r236vuJ6OjKm1lVN7Pu45zz+53f6fRnRwsK7do4hi99+B247OTGOS3mOrtpYij2fLCP6be2iihFKuVGvW16EhXfiS2s9MrhuYbBTwBhuljc6+1iK+tGK/jEFTvxu+dua7p/3TBV72YX0ivmANQ7SN1GRTaMD/Wl4m0z9vz0NHhuUP10vlrDxvEh3P6ek5e8J1MV8+evHg2rFG/MIKIEBIPFRYooZRGjvwbAfUqpOQA/F5F9AM7Sz+1TSj0HACJyH4BrRORZABcD+KB+zb0A/h2Azw50r3tgdxbsxqodRbIX10yao2Q6AEBQ6vPAkfnYtDug9RwlAOGFtmEF8kpnEaUzpidjOyyLNZNq0jz1D4ibo6Q7SkcXwv03K3iXfTeMKMSN1I9VPLwxu4C5lC/G3TJrPe0/PBfOIzl+zUhbEaWSNfrXbeodENzcDxyd77iRZTfk2k1NPH/HWnzq6t04s41873aYxk8YUbKKmpjOgb0w4ZbVw/jnlw9jrlprUsyhnvq0cXwIIsBOq0DBJ//F7pb7NTVa75yZRolSwMkb6ukq68Yq+PD529t7ozHMTdSU0Dc3lmgxB6Beir/TG35Y+arFsTE5UsJ3Pn5xRz/7ohOn8P0/urTlGjsmomTKCB+e6+zGPTlSgohgfMjHFz/8jrA6Zxq+eONZDZP2Wym5jee1OW6DtX6COUrm+Gt2bbTZf5s8DP7kiT0i77f5ebbLt1Ivw/UC9fkVF2U2mRVxaXdA4z31rS3WyWlWHhwA9r5zKy7fvb7h2DBzmfYfnm2IeAPBdWn72pGGRevj1krsp6DqXS2s/pjmzw3+TzcC1k/1qnfppd4t1lQwXWE4/h5gIkq/OHAsnMe4cSLoPPVjfnYzZS9+XdC86ndH6SMicgOAJwB8VCn1GoBNAB63XvOC3gYAv4xsfweANQBeV0pVY15fCPZNP2ll9lbFHMqei1er8/XUu4PH8OqReZyZUJmmndS7IV3ByzbaYo5S1O9dtLRIQlDMAXpti+QLQVLlF5NTPr9YW/JZ2BfYuCIRoxU/WHC2mo/Uu+PGKvBdwfMHjuHN+aB88+Swv6RBZRsKy9laqXc9RJRGmswjacZrmG/RXkep4rvY+86tHf2epvtgIklWCVgzR+lIGEWpfzbTq4fx6I9fBpBcRKRkRS2m1wzjOx9/V5ir3S7TEBkb8hrOoZM3NG8AdcI0pM2CuEbZOifsghtA55FH09Bs93zvhIi0tRDpRSetw75XjmD9WMVKvWv/xv2uk9ahpoIo4+lbJrra1yQzHXb4zTljBhbMta26GKQi2xGldttI9jUvD9e0PLHvHc3uNd2w00Drkf3kz98M8CUt0mp+3sbxSuzC5zb7vcR1Kkqes2QeqHndgaPzS+Znigj++KqT8etDc0te32lKdrdM6l10Lbhe9TJHKStJ87O75emFx03qZxyToj6/WAvvE2tHykvmmA9C0VLveuooicg3ABwX89QdCCI+fwpA6f//I4AP9fL72tifmwDcBADT09P9/FUdaUi981p3lOJO+KCYw2LYUfrFwWNQCphOmDTfTgpLxXMxEQlI1avedX/iuBJUJKsuNp+jlJR6d9a21bj6tI3Yf3huSclO+yIQFzEYrXh47dgCFhZVx6lm/eC5DravXYV9rxxGtaYwvTqortZs7tGQFQ0077eXiJK5uXf6ebiRxTOzYM/5AOpz9QDgsC5gYH+Gdqn8pHlV4Y1Vf7abJzufT2UiSmaxRyDozLZayb4TprFkznmjIfVOfy6vm7VZOu0MO6aYQ3aNjG1rR3DntUGRDDMqXopJP07ysXef1Jf96kZYpVIfe/ZaWPYcJdeRtsvnN0aUsr+m5Yl970g7fSgcULGuw83SMM1zSdcTzw3W0NrdIu0OaEzJarcRa/ZRqfh748U7I/dSs+DsgDIvfFfCa3erBa47YT6fQaeP9WK45OH2PTtx+e645nPnPNcJI0pJx8tYxdPLq9TCY9VxBKdvmUgtVb5dZj+KoqfWj1Lq0nZeJyKfA/AP+uGLALZYT2/W25Cw/QCACRHxdFTJfn10f+4GcDcAzMzMqLjXZMEeHaokRJSchohSwjpKeq0UILgYAsmT5it+64jShSdOYaHW+DGZyEUvaWv1Yg7NS+CaUZXohMZ1o5Vw7YWoUouO0tiQj+cPBNV98pKm8pb1q/D0i4fgioSVhMKIUsyN1x5tCjtKKUSUOh057GaOUtrCOUoxxRwOzy6NotjzEBKLOeif2cuoZkNHSUdNdm4YTWWBRsPsZzSiFJd694aOKHVe9a691LtBKRew0WMz1+7RSERpoVarz1HynI5SbhojSsX8XPqlsaOUbkTJt6KbYUepSWrriDVHKcn5O6bwnlNaN45FdBn5DqIv9j27nQIy9bTbwRxTrQpUdKvXYg5ZabVkSSfqxRySO0oigvVjFfy/g8ca7hNfvvnsVO9b7eAcJU1ENiilXtIPrwXwtP76YQBfEpE/B7ARwA4A3wMgAHaIyDYEHaHrAXxQKaVE5DEA1wG4D8BeAA/1a7/7oZQUUYqZoyQSn7dqGojR0eW4xWYBK6LU5OLx+5fsWLItTL3r4eLpSLCO0sKialrVxUwiLXVwg2t1MxiteNivJ73npfF34rpRPPKjl+A5gst0hMxvEika8vXK6Z6DXRvHsHvj2JKc807US9t2P0ep26p7vQrnKCWk3kXLz0+30VEqtXFutBJ2lKzUuzTT7oDk1Dv7emI+HxNd67Qz3G4xh0EpekfJXO9MNNOuXGgWnPUd6WgSt/nbiBQrvWgQ7EHIdud8tauhmINrKjMmnyerWsxRAoL1+tr//YL5xfajL/YcqHbWbjPzrdJaoLmVVumE3Spi6l3azHp6Qepd8vGybrQcdJSs+8SgO0nACku9a+E/iMjpCFLvngdwMwAopZ4RkfsB/BhAFcCtSqlFABCRjwD4OgAXwD1KqWf0z/oEgPtE5M8APAng833c79TZN0U7xcWJSb3zXSf2wDU9cLujJJIc5m9nHaU4zRacbZfrCOarweTlZqN8lS7ydM37scuf2sYqfthozMvo6471q6AUsLCocPzqIMRdn6PUrOqd4J0nrMXX/uD8nn6/WXS2tzlKWUeU7HWUgijokbnqkkjb5smgOENS+gmwNPWuG+EcpYqP9aMVlD0ntQIWhnnv7aTemehap+mVmyaG8O7d61Pf926Zm3xRO0r1iJIp5tD4N/TdYI6S20HjxF7vJotGTZ6V+hhRKlnXCbvqXZJWc5Q65XsOML/YQUSpebZF1J5TjkPJczqen9mtZovo9vRz2VHSVe8U5qvNjxdT+a7TzIO0sZiDppT6nSbP3QngzpjtjwB4JGb7c6hXxiucIB89aLzZESUvpqOUdLLXI0o1jJRcHFtYxHFjlcQOTZjr3+HFY3zIh+9KWyNSSVwniCiZyctJzGfRySTccou1aewGfV5GyXdY622YCGDzqnfpjqoP9zhHqeQ6mX2WdiTJ/B+m3s1Vl3x+Zc/FhrEKfnVotnVHqYfPd6ziYbTsYe1oGePDPh6//ZKezpk4puFn1kgyGjtKJvWuGjbCO1HxXfzX35npcU/TYxfaKCLz+ZtCIn6ko+Q6TpB618E1z5x7eRn4yROvIWU95YiSV7/2tLNMw9a1I1g/Vsa60e6WA1jy+93OBjs7Tb0brfh47xmDq4vl9zmiFLesykrhWRGlZgOAptpd1otSl3UV56JYOUt4Z0hE4DsOFpVqyKONjyjFn+ymLPJcdRGjFR9jQ35DmlFUO6l3cUbKHr5667lLVnXuhCOCWi1YR6lZOkQ3lV/MzSDpRmBXOstDeXAguIGaHGLzN2s2R2nYqnqXBnNRrHQ5R2kspXVpumHOi2gxB6UUDs9WsSomIrdl9TB+dWg2seqdOcd6GdUUEdx/yznhGkmTLdYK6oZ5z2/ON468RddRAoA3ZhdyUbykV2HqXUEbPabhPhpJvZvVnXvPEZTczlLvwupky+Dvmza/4VxIuZiDNaBiFg9e3eQ8/+13TOMDM1tSK/lsrr9td5SsjnTStS9L9t8nzXtzyWscTFuJPDdoX7Sa02Y68c1SSAeh7NWXeSkCdpQGxHcFjopEkaw0CrOmUtLJXvKC0Oqx+UVUfAe3XHhC0xKj7ZQHT9Jq1fBWwojSompenryLqJe5CCTdCBojSvm4cPqug21rR/D8gaPhAm/Nqt5VuowGJgnLg3c5Rymr+UlAvaHphxFXPTl+UeHI7EJsR/P4NcN45ldvJJ5L4Uhtj59v2nOSosx+vrkQiSjFVPp6Y7Y6sDK//VROOZo6aNGFpD0nGlESeI7TsIZeK57rwHMkNxHyPLHTudJOvTOZIL4XRNT//vfOxQnrkquDBdVM09sH0wnsZPF3o52I0qA1RJRSvDeb62Fai7cWkecIZheChcmbtRvMGnOZp975Duco0VKe68DRk3mNxq+D/5MaCOZi+cZsFRXfxfVnNS9/3s0K92lxRLBYAxZqCsPNijmY1ak7uMGZDkZiRMlq1OepYXHalgmUrGpX9QZVXERJR9pSuul2W/XOi8y3yILZB5MGaD63hcUajsxVw5xr2y0XnoBLTl6/ZLuRxhylQahHlCLrKCXMURr06vL9YK5zRW30mOuPWdzRjKI3zFHynI7fX8V3U53XsVzY18i0izmIBKms5h56yubeBhA71el1yr7XTwynH+HuVb+q3pm/0Uqev+c5TriWXrNOaBhRyvhesaLKg1P7fNdBzVGx85KAenQp6aJotr/x5kJbN8ydG0ZxyqZxnLCu+xS6brmOWUep1lBiOqq+4GwXEaWEKEce5ygBwKeu3t1wYbjwpCl8+LxtDeWsjaT1pbo1qefOdBoZcp3kztygmPPFLuYA6I7S7NJiDgCwfWoVtk8lH/dh6l3OO0rmvb/ZrJiDqXo3W8VUD5UR86LsFbvRM71mGA/dei5O0WvlRIs5uI6DzZNDeOn1zibQlz0nNxHyPPH6GFECdMW7jNJAO52jJCJhAzSPEaV+pd75ntOXv32ReK6E94lmg+MbJ4KOUtrzaTsVVL1jR4kifDeIstiLeDaUBw9HzJPnKAHBXIR2GkSbJ4fxP37/vF52uWsm9Q6LzaNF3aXeNZ+jNNoQUcpPw2Kk7GHE+rNtmhjCH1+1K/a13VQDbOayXevxuRtmsK3DReXC+Rbl7C6q0bl75jOZr9b0HKXOL2FFiSiZhoUpD76q7OHIXDWhmMNC0zmLRVH2nI4izHl02paJ8GuTGjZnzVH62OUnoaY6W+av4rucoxQjLg01Tb4rmRUWKYUDOu3/3fPcUbIHTdMcpNo8OdS0JPtK4DmCo7rab6nJ8bJ9ahXu+d0ZvPOEtYPatVhB1Tum3lGE7zpwpDGi5HSSemctLLkloSR4XphiDjVpsY6Sn37Vu3Gr8EBRGxbDKc9RKnsuLtuVnIqWJBepd7qhaVfgA4KG55H5auwcpVbSWEdpEKLlwadGy0FHKWYdpblqrePy73l01WkbsS4mnbKolkaUJPiHzjqDZS+7ypN51rCOUh862EO+m13FTxNR6mDAr+y7wGw1XMcrT+y2TZqDmDdfcAJuPG9baj+viFzHCQfUWnVCL97ZeVsgbVxwlmL5rsCRpVW8DCdMMUroKPmmo1TNVaQkjokoqRqapt51V/XOdJTiD93RnM5R6oT5XLJuyNcreOUnomQ+k0NvLkCp7vbNvK+8l6A2+2lugFOryvj5q0cbjgv73CnqwIDtzK2rc7OmUxrq5cF1RKnLxvwlJ6/DhvGVPWoexz7+056jBACfft+pYQGeQQuveR3eH0fLXuoVANPQuOBseteqYPCh+Ne+XniOhMtIZN1uaEfZc1HV0zPyeKxGsaM0IGFEyY3vKIVzlJJS70zK0WIt9x0AVwSLNYVarXlEqZu5OGHqXUKObUMxh5yUB++U+VyyntBuojhZlgf3IgML5lg5cHQeAHpKvUuz8lI/mGuFKeYwpQsE2DdC+zqyHKreLTem8W7mD3TbmL/jyvg03ZXOTlXvx1yiC06cSv1ntqub61TZc3JZGhzoXzEHCu4VNZ3NW4yOUr09y44ShUxHKYwoRSYrRxuCUfbBn/cOgOPodZRqqukky3op4PZvcJsmhjDku9ixbjT2+YrvhGsW5b0hnGRm6yT2nnM8Tt08kel+5CqiZFLv9Hlw8OgcgO4Wzqsvaprv8yjayL501zo4TuOcCbs88nJIvVtuoumTaa2xQ4F+R5SyZM7zzuYoublZPzCqoaOU88HeorEHVYvQCTX7OLdQQw4LNC7BjtKAeDr1LjpCbrSzjpKR+9Q7MesotVhwtouI0nHjFTz7p1ckPi8iGBvy8dqx+UJcMOKMVnx86pq3Zr0bmBwpYbTi4cT1g6+caJioihcWcwj+P3AkiCh1M3+qKMUczDouJvXugh1TuPaMzQ2vsdNZ8h5pXonMsRam3rGjlKp+z1HKUjfXqfEhP7cDhI2pd/ncx6KyozJ5v68B9YITRZmnxI7SgPiug0VRYTpT9H7puc07SvYoUd4bRI4TVPirLqqmN6+K70Ik3XxlIGg8H5uvFrbEcF6sKnv44Scvz/RzrBdzaMzXf+1YLx2lYpQHB4KGdVj2NWZ/7WgsI0r5Uy+2sdjwmNLRuOBs/s/nTnhdXKc+875TkdfAmv23KsK1t0gKG1EqyKKz7CgNyN5ztqKmVMuIUlKetd1IynvY2nWAmlJYqNWa3rx818HffPBtOGN6MtXfP1rxcOjNfH9GRZF1ZzOaklpPvdNzlLooXV7SC35mWc2vXa4jYTQi7lzyGlLv8v9+VpqwPHgYUcp/I6ZIHF1FcLGmll1HqeQ6DVko7Zhek9+KuGZx4JJX3HXS8qpfhTL6xUQ9GVGiBleeugEA8O1/3g+gcT2l4HGL1LsCTYQ0xRyqi6rlRX7PKRtS//1jFR8Vbz71n0uDl1jM4Uj3xRzKnou/u+lsnHRc/Dy3PPEdB7NI7ijZAy55jzSvRGFBDs5R6ptgjcLW95qi8V1nWXUqzCBB3tsvRWQPwBQh9c505swAUt6xozRg9YZf43a3ozlK+W4QmWIO1RZV7/plYtjHcDnfnxG1x43MTTLnQS+pdwAKU4LatapkxjWy7esFU+/yJ7qOElPv0mcGE5ZbRKniO8sqSlxPeeZ1Km32vSHvy14ATL2jFpKq3jktIkrlghVzmFvUo+AZjPL9wSU7wtQsKjYzsGBGzMz5Yf6+I8uoIRGn/r7jzyOPc5Ryzfz9wo7SMot65IHvOcDc8uuE3njedlx8cvaLg6YlLHdegIhH0TSk3uW8fQjYHSVGlCiGOaCdyA2zvghm/MW+XKDy4K4jmK+aBRYHf9LuPG5s4L+T+sOkqEYXiT14dB4jJXfZpzJ5LQZQ7AnSeY80r0SmcuEs5yj1TatzpKim1wznes5Rp8LiFAVoyBeNV7SIkm+q3hUjopT/T3SZiTb8jFYRpaKl3hmdrJFEFBVGlPR5MT7sw3MErx1byHR9p0GJVvtb8jwjSrnnOw5mq5yj1C/mnsl7Tb754RwlXqfSZg/A5L3YF9C4jlIRsKM0YKbhF40ohXOUEsLSRVtHKfyaDQPqQZiqqv8fH/Lx6fedCgAYWQHz0PwWywbYAy7sKOWT50q96h0b86kz5wijdflm2jZ5b78UUeEiSky9o2aS5iiZY7udqndFiihlkXpHy0c9raZ+TF339s0oeU4472M5C6v9JSwb4BfourBSeY5wjlIfMaJUDObY5xyl9NntrCKcBybqNV+QjlJPR6yIvF9EnhGRmojMRJ67XUT2ichPROTd1vYr9LZ9InKbtX2biHxXb/+yiJT09rJ+vE8/v7WXfc5ay3WUEidtO+H35H1Exu4EZlHMgZYPcwOIjhZffdpGfGBmSxa7NFD1RmBC6p2eAwNwHaW88l3H6ijl+9pdRJ4brIu2XMpoL1f1Yg4c0Emb3QktwnlQtKp3vV61nwbwGwC+bW8UkV0ArgewG8AVAP5GRFwRcQH8NYA9AHYB+C39WgD4DIC7lFJvAfAagBv19hsBvKa336VfV1jRVCLDa5FiA9SjSnm/0NhvgREl6kV9jlL+L/790GqOElDP/WfqXT6ND/s4Oq/nKK3Q47iffFdW7PWhSFxH4AgjSv0Q3icK8tkWLfWup09VKfWsUuonMU9dA+A+pdScUurnAPYBOEv/26eUek4pNQ/gPgDXSNAFvhjAA/r77wXwXutn3au/fgDAJVKELnMCM6KYFFFq2lEKc3zz3SBiMQdKizlPVmrKktfGDbAeac73dWGlevv0ZPj1Sj2O+8l3nYbqj5RfnusUothA0dTXqCrGeRAuOLsSOkpNbALwS+vxC3pb0vY1AF5XSlUj2xt+ln7+kH79EiJyk4g8ISJP7N+/P6W3ki4zougsmaPUvJgDUD8JipR6x1QT6kV0HaWVxmuRehe8JviMGFHKpzO31Rc3ZkcpfZ7DiFJR+I4UpjFfJG7BKgr6bpAyPleQecYtk9pF5BsAjot56g6l1EPp71L3lFJ3A7gbAGZmZlTGuxMraY6S22KOElCciJL93ngDo17MbJ3E5bvWY/14OetdyUQ4gNLkPPL1HI3lto7McnHmVrujxL9R2kqew2O/ICq+ywGdPjDtrKKk3okI/uTKXThty3jWu9KWlh0lpdSlXfzcFwHYM603621I2H4AwISIeDpqZL/e/KwXRMQDMK5fX0hJVe+cNkbOi9JRsqNlTL2jXrxl3SjuvmGm9QuXqVblwYFg8GWIjY/c2rpmGGtXlfHqkTnOUeoDDhIUx12/eTq2rhnJejeWneiC7EXwofO2Zb0LbevXp/owgOt1xbptAHYA+B6A7wPYoSvclRAUfHhYKaUAPAbgOv39ewE8ZP2svfrr6wB8S7++kJIiSl4bqXf1Yg75PhkaIkocQSXqmkmpaHYD9BzhKG2OiQjO3BrMU2LqXfp812HmQkFccOIUptcMZ70by45J0S7nfFpGUfVUT1ZErgXwnwBMAfiaiDyllHq3UuoZEbkfwI8BVAHcqpRa1N/zEQBfB+ACuEcp9Yz+cZ8AcJ+I/BmAJwF8Xm//PIAvisg+AAcRdK4KyxzQS4o5OK1T78q+C7cAo2cOU++IUlFfR6rZHCUHJZ5muXb1aRvx4utvFmrEtyjWj1Xw+rGFrHeDKDNFjCgVSU8dJaXUgwAeTHjuTgB3xmx/BMAjMdufQ1AVL7p9FsD7e9nPPDEHtBPpKE0OlwAAa1Ylz8Uouw4qOY8mAZF1lHjiEnWtnUiz50phJvGuVHtO2YA9p2zIejeWpTuuPBkLi8WonkXUD2bgnRGl/uAKhQNWn6PUuH3b2hH8z49dhOObhKVLnpP7+UlAZB0lppoQda2+vlqTYg6Ow9Q7WrEqvluI+yJRv5j7AyNK/cGO0oCZaIsbM3dn69rmkxyL0lFyGFEiSoXXzhwlVzBUgOsCERGlL5zLWoCMoyJiR2nAHL06dTf9h5Gyh1Xl/P/JWB6cKB3tLDj7m2duwWgl/9cFIiJKn29S75iC3Re8u2bAc5wlxRza8dHLTsTh2WrrF2aMVe+I0uG2UczhhnO2DmhviIgob9w2BtSoe+woZcB1pCE9rV2tUvPygusoEaXDVMlkCisREcUx9wl2lPqDn2oGPEeWdZGDxtQ7HmJE3fLaWDaAiIhWLi9MvWN7qx/4qWbAdWVJefDlpCGitIzfJ1G/1ave8VJNRERLmfsEI0r9wU81A54jDWsNLTd2RKmbuVhEFGhnHSUiIlq5zFzwMgfU+oKfagamRiuYGk1eWLboGtZR4olL1DVT9pURJSIiilNfcJZV7/qBxRwy8OWbz17WuaQs5kCUjvpCgjyPiIhoKS4421/sKGVgrOJnvQt9xfLgROlopzw4ERGtXCwP3l/8VCl1LiNKRKnwWR6ciIiaGB/yMVJysWX1UNa7siwxokSpMxX9XEcgy7hoBVG/caSQiIiaGa34+MGfXLasp3RkiR0lSp1p3C3ntaKIBsFj6h0REbVQYSGHvuHdl1JnijmwcUfUm3DBWY+DDkRERIPGliylLowocX4SUU9czlEiIiLKDO++lDpTzIEV74h64zP1joiIKDO8+1LqTP+IFe+IesPy4ERERNnh3ZdSx9Q7onR4XEiQiIgoMz3dfUXk/SLyjIjURGTG2r5VRN4Ukaf0v/9iPfd2EfmRiOwTkb8SXT9aRFaLyKMi8lP9/6TeLvp1+0TkhyLytl72mfrPpN75TL0j6omJJLE8OBER0eD1evd9GsBvAPh2zHM/U0qdrv/dYm3/LIB/DWCH/neF3n4bgG8qpXYA+KZ+DAB7rNfepL+fcsxhRIkoFReeOIXb9+zEjnWrst4VIiKiFaenjpJS6lml1E/afb2IbAAwppR6XCmlAHwBwHv109cAuFd/fW9k+xdU4HEAE/rnUE6xmANROkYrPm6+8IRw8IGIiIgGp58t2W0i8qSI/C8ROV9v2wTgBes1L+htALBeKfWS/vrXANZb3/PLhO9pICI3icgTIvLE/v37U3kT1Ln6BHQ27oiIiIiomLxWLxCRbwA4LuapO5RSDyV820sAppVSB0Tk7QC+KiK7290ppZQSEdXu663vuxvA3QAwMzPT8fdTOuqpd4woEREREVExtewoKaUu7fSHKqXmAMzpr38gIj8DcCKAFwFstl66WW8DgJdFZINS6iWdWveK3v4igC0J30M5VE+9Y0SJiIiIiIqpL0P+IjIlIq7+ejuCQgzP6dS6N0TkbF3t7gYAJir1MIC9+uu9ke036Op3ZwM4ZKXoUQ6ZqUks5kBERERERdVrefBrReQFAOcA+JqIfF0/dQGAH4rIUwAeAHCLUuqgfu7fAPhbAPsA/AzAP+rtnwZwmYj8FMCl+jEAPALgOf36z+nvpxxjMQciIiIiKrqWqXfNKKUeBPBgzPavAPhKwvc8AeCtMdsPALgkZrsCcGsv+0mDxWIORERERFR0HPKn1IXFHBhRIiIiIqKCYkuWUhem3jGiREREREQFxY4Spa6eesfDi4iIiIiKiS1ZSp3D8uBEREREVHDsKFHqXC44S0REREQFx5Yspc4Eklj1joiIiIiKih0lSp2IwBFWvSMiIiKi4mJLlvrCcxxGlIiIiIiosHpacJYoyW17duLs7Wuy3g0iIiIioq6wo0R98aHztmW9C0REREREXWPqHRERERERUQQ7SkRERERERBHsKBEREREREUWwo0RERERERBTBjhIREREREVEEO0pEREREREQR7CgRERERERFFsKNEREREREQUIUqprPehL0RkP4BfZL0flrUAXs16J6hweNxQN3jcULd47FA3eNxQN/Jy3ByvlJqKe2LZdpTyRkSeUErNZL0fVCw8bqgbPG6oWzx2qBs8bqgbRThumHpHREREREQUwY4SERERERFRBDtKg3N31jtAhcTjhrrB44a6xWOHusHjhrqR++OGc5SIiIiIiIgiGFEiIiIiIiKKYEepz0TkChH5iYjsE5Hbst4fyhcRuUdEXhGRp61tq0XkURH5qf5/Um8XEfkrfSz9UETelt2eU5ZEZIuIPCYiPxaRZ0TkD/V2HjuUSEQqIvI9Efk/+rj5lN6+TUS+q4+PL4tISW8v68f79PNbM30DlCkRcUXkSRH5B/2Yxw21JCLPi8iPROQpEXlCbyvMvYodpT4SERfAXwPYA2AXgN8SkV3Z7hXlzH8DcEVk220AvqmU2gHgm/oxEBxHO/S/mwB8dkD7SPlTBfBRpdQuAGcDuFVfW3jsUDNzAC5WSp0G4HQAV4jI2QA+A+AupdRbALwG4Eb9+hsBvKa336VfRyvXHwJ41nrM44ba9S6l1OlWKfDC3KvYUeqvswDsU0o9p5SaB3AfgGsy3ifKEaXUtwEcjGy+BsC9+ut7AbzX2v4FFXgcwISIbBjIjlKuKKVeUkr9b/31YQSNl03gsUNN6L//Ef3Q1/8UgIsBPKC3R48bczw9AOASEZHB7C3liYhsBnAlgL/VjwU8bqh7hblXsaPUX5sA/NJ6/ILeRtTMeqXUS/rrXwNYr7/m8URL6LSWMwB8Fzx2qAWdPvUUgFcAPArgZwBeV0pV9UvsYyM8bvTzhwCsGegOU178BYCPA6jpx2vA44baowD8k4j8QERu0tsKc6/ysvzlRNScUkqJCEtTUiwRWQXgKwD+rVLqDXvQlscOxVFKLQI4XUQmADwIYGe2e0R5JyJXAXhFKfUDEbko492h4jlPKfWiiKwD8KiI/F/7ybzfqxhR6q8XAWyxHm/W24iaedmEmvX/r+jtPJ4oJCI+gk7Sf1dK/b3ezGOH2qKUeh3AYwDOQZDeYgZO7WMjPG708+MADgx2TykHzgVwtYg8j2AKwcUA/hI8bqgNSqkX9f+vIBicOQsFulexo9Rf3wewQ1eGKQG4HsDDGe8T5d/DAPbqr/cCeMjafoOuCnM2gENW6JpWEJ3v/3kAzyql/tx6iscOJRKRKR1JgogMAbgMwfy2xwBcp18WPW7M8XQdgG8pLr644iilbldKbVZKbUXQjvmWUuq3weOGWhCREREZNV8DuBzA0yjQvYoLzvaZiLwHQW6vC+AepdSd2e4R5YmI/B2AiwCsBfAygE8C+CqA+wFMA/gFgA8opQ7qxvF/RlAl7xiAf6WUeiKD3aaMich5AL4D4Eeozxn4IwTzlHjsUCwRORXBxGkXwUDp/Uqpfy8i2xFEClYDeBLAv1RKzYlIBcAXEcyBOwjgeqXUc9nsPeWBTr37mFLqKh431Io+Rh7UDz0AX1JK3Skia1CQexU7SkRERERERBFMvSMiIiIiIopgR4mIiIiIiCiCHSUiIiIiIqIIdpSIiIiIiIgi2FEiIiIiIiKKYEeJiIiIiIgogh0lIiIiIiKiCHaUiIiIiIiIIv4/pseYsHx6J3oAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(14, 4))\n", "ax = fig.add_subplot(1, 1, 1)\n", "#ax.plot(X[:, 0][4450:4530])\n", "#ax.plot(X[:, 0][4240:4260])\n", "#ax.plot(X[:, 0][1040:1080])\n", "ax.plot(X[:, 0][500:1000])\n", "ax.axhline(0)" ] }, { "cell_type": "code", "execution_count": null, "id": "66112e6c", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }