{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# ECE 417\n",
"### Fall 2018, Lecture 12: Hidden Markov Models\n",
"Mark Hasegawa-Johnson,\n",
"October 4, 2018,\n",
"Distributed under a CC-BY license\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is an ipynb notebook, so the first thing I want to do is to load some libraries."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import requests\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now I'm going to download some data that I put on the course web page. These are temperature records (monthly high temperature, and monthly log temperature, in Fahrenheit) from two cities in the state of Illinois: Waukegan (in the far northeast corner), and Carbondale (in the far southern point of the state). The data originally came from here: https://www.isws.illinois.edu/data/climatedb/. I have extracted CSV files, which you might want to look at, for example, to see the dates over which they are collected: http://courses.engr.illinois.edu/ece417/fa2018/ps/carbondale_climate_edited.txt and http://courses.engr.illinois.edu/ece417/fa2018/ps/waukegan_climate_edited.txt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[['YearÂ\\xa0', 'MonthÂ\\xa0', 'High', 'LowÂ'], ['2005', 'Jan.', '45.6', '31'], ['2005', 'Feb.', '50.3', '33.1']]\n",
"[['YearÂ\\xa0', 'MonthÂ\\xa0', 'High', 'LowÂ'], ['1923', 'Jan.', '35.1', '20.3'], ['1923', 'Feb.', '29.5', '10.8']]\n"
]
}
],
"source": [
"URLformat = 'http://courses.engr.illinois.edu/ece417/fa2018/ps/%s_climate_edited.txt'\n",
"cities = ['carbondale','waukegan']\n",
"rawdata = {}\n",
"for city in [0,1]:\n",
" r = requests.get(URLformat % cities[city])\n",
" rawdata[city] = [ x.rstrip().split(',') for x in r.text.split('\\n') ]\n",
" print(rawdata[city][0:3])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's separate it into training data and testing data. Actually, this time, we won't use the training data at all, we'll use that next time. But we can look at some plots of the data, to see what type of data we have."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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2upWgRqPRaDQajcUiOVlaSS97O1wcbZ2lpNGcoclvl5Ty6gZWza5nWwnc3VqhNJ0bKSWL3tpChL8rr1w1sqPF0Wg0Go1Go2kzpJScqqgmq6icrKIKMgvLySouJ7vO31mF5WQXV1BtkZhNghHBnkwe6MOUcB9GBHvqCW+NTdHTA5pmsyUpj7iMIpJyTvFMRbWeZdJoNBqNRtMlqaiuIbuogqyicjINAy379N/q/6yickora3431s3JTIC7E/7uTkwc4IO/uyP+7k5kF5ezKTGP19cc4dXVR3BxsGN8f29l0A30IcLfFSHqq/un0ViHfvLWNJtPth7H3k5QUW1hdUI2Fw/v29EiaTQajUaj0ZymxiLJO1WhPGaGMZZdx0jLMpbll1b9bqyD2WQYZo5E93VnVpTfaePszMsRZ4eGH6MfOh8KS6vYejSPzYm5bErMZU2Cqvnn6+bIlIE+TB7ow+SB3vTx6NVm10HTPdEGnKZZpBeUsTIui9um9ef7Pen8sj9DG3AajUaj0WjaBSklRWXVZBWXq/DFIhW6WPt3rdcs51QFNZazO1mZBPi4OhLg4USQlzNjwrzwdzMMMg9llAW4O+HRy94mHjIPZ3suGBLABUMCAEjLL2VLYh6bEnPZcDiH7/emAzDA1+W0QTdhgDfuTvatPrame6MNOE2z+Hy7ak9x3YRQyitr+HJnKiU6jFLThdh5/CSxaYXcNDlMh7BoNBpNJ6K8qkaFMhaWk1VshDIaf2fV5poVlVNeZfndWI9e9gS4O+Hn7ki4v9tpD1qtxyzAwwlvFwfMHZiLFuTlzBVjnblibDAWi+RQVvFp79xXu9L4eGsyJgHDgz1PG3SjQrxwMOv8Oc3Z6KdujdVUVNfw5Y5UZkX5E+TlzIVD+/Dx1mQdRqnpEhSVV/HC8gSWbE8BYEyYF8OCPDtYKtvx1c5UfN0dmRnp19GiaDQazVlU11jIPVXZaChjVlEFhWW/D2d0sjcZhpkTw4M8fxfKWGu0OdnbdcCZtRyTSTCojzuD+rhz69T+VFZb2JuSz+bEXDYm5vLm2kReX5NIL3s7xvfvfdqgi/R3w2TSk489HW3AaaxmeWwmeSWVXD8xFIAxYb3xc3PUYZSaTs+Kg5k8/sMBcooruGFiKJ/vSOHHmBPdxoBbk5DFw9/uB+DhCyL54/QB2ruo0Wg6hKoaC1/uTGX9oezTBlruqQrOiWbEziTwc3PEz92Jfj4uTOjvfVZ+Wa3R5u5k7hH3MwezifH9vRnf35sH50ZSVF7FtqQz+XNP/xwPgI+rA5MGqGIok8N9CPTU+XM9EW3Aaazmk63H6e+j4rRB3XznDQnQYZSaTsvx3BJe/C2BX2IziQpw473rxjA82JP0gjJ+2p/B3+YN6vIzmbmnKnj4m/1EBbgR7u/Gi78e4mhOCc9eOlSH3Wg0mnZDSskvsZn867cEjueV0t/XhZDezkT3cVdeMw8n/N1UKKOfuyPeLo7YdfH7b1vi7mTP3MEBzB2s8ucyCsvYnHjGoFsWcwKAfj4uTB7ozZSBPkzs74OHs86f6wnoJ26NVRxIL2RPSgH/mB991gOvDqPUdEZi0wp5Z30Syw9kYLYz8dD5kdw+rf/pPjwLhvdlVXw2u1PyGRvWu4OlbTlSSh75Npaismo+u3U8kf5uDPB14ZVVR0g5Wco7i0fT28Who8XUaDTdnG1H83hueQIxqQVE+LvyvxvHMDPSr0d4ztqLPh69uHx0EJePDkJKyeGsU2xKzGVzYi7f7Unns20pmASMCPbkqUuGMLivR0eLrGlDtAHXQiwWybrD2eSeqqSy2kJFtYWK6hoczXZcPzG02zVs/GTrcXrZ23HZ6KCzluswSk1nYktSLm+tTWJTYi5ujmZunzaAmyeH4efudNZ2cwb542Rv4seYE13agFu6M5VV8Vn8/aJBRAW4A3D/nAj6+bjw0Df7ufStzXx2y3iCezt3sKQajaY7ciizmBd+TWBNQjZ9PJx48fJhXDYqSHvW2hghBJEBbkQGuHHLlH5UVluISStg05FcvtyZwmVvb+GFy4axcERgR4uqaSO0AdcC0gvK+PNX+9h29GS96wM9e50uGdsdKCit5Id9J1g0KgiPXme75nUYpaazsD+tgGv+ux1fN0cemRfFNeNDGizF7OJoZnaUP7/EZvCP+dEdWpWspRzPLeGfP8UxaYA3N0/ud9a6hSMCCfJy5roPtvPm2kSev2xYB0mp0Wi6IxmFZfxnxWG+3ZOGi6OZv14QxU2Tw7pcIZHugoPZxNiw3owN683iCaHcvWQP9325j9i0Qh6ZF9UldZymcfTTdjOQUvLDvhM8/sMBLBbJc4uGMmWgD45mE45mO4QJJj67mg1HcrqNAZddXM5ba5OoqLacLl5yLhcN66vDKDUdzvIDmdiZBCsfmIanc9NhgwuG9+Hn2Ay2HT3JlHCfdpDQdlTXWLh/6T7MJsFLVwyvN49vdKgXMyJ9WZOQjZRShzJpNJpWU1hWxdvrkvhw8zGkhJsn9+PumQPx0qHanQZfN0eW3DaeZ36O5/1Nx4jLKOKNa0bpcPpuhjbgrKSgtJK//98BftqfwehQL16+YgQh3r8PS5o00IcNh3O67AOTxSKJSStgbUI2aw/lEJteCMDcaH8G9XGvd8yYUK9uEUZZXWOhrKoGN91As0uyOj6LsWFeVhlvADMi/XB1NPNjzIkuZ8C9sz6JfakFvH71SPp4NFyBbFaUP7/EZnLwRBFDAnU+hEajaRkV1TV8ujWZN9YmUlhWxSUjAnnwvAgdnt1Jsbcz8eTFgxkS6MGj38ey4PVNvHvdaK0HuhHagLOCiuoaFr65mfT8Mh46P5I7pw9oML57WoQvK+OyOJpbwgBf13aWtPU8sewgn25TjSRHhnjx0PmRzIj0JboB4w1UL5OuFkZZVWPhyWUHOZpTQu6pCvJKKskvrURKGB7kwYLhfVkwvC/+5+ROdUU2HcklMbuYGyZ138bVqSdLOZx1ir9fNMjqMU72dsyN9mf5gQyeumRIl6nYKKXkix2pTI/wZUETEyYzIn0RAtYkZGvFrdFomo3FIvkhJp1//3aY9IIypob78Mi8KF0go4tw+eggIvxdufPT3Vz29haev2wol44ManqgptPT+Z+0OwFbk/JIzivljWtGMn9Y4w9M08N9AdhwOKfLGXDbjubx6bZkrh4XwsPnRzYrJKKrhVHuOp7Pku0pDO7rzgBfV8b1c8DH1RGTEKyMz+Tpn+N55pd4JvTz5vLRQSwaFdhljZ9nfoknPqOItPwyHrtoUJc9j8ZYFZ8FqOIkzWHB8L58tzedjUdymN3MsR1F6sky0gvKuGN6/ya39XF1ZESwJ6sTsrl3dng7SKfRaLoLGw7n8PzyBOIyihjc150XLhvW5aIVNDAsyJNlf5rC3Uv28MDSGGLTivjbhVHdrtheT0MbcFawIi4LZwc7qx4OQ7yd6efjwvrDOdx0TmGBzkx5VQ2PfhdLSG9n/jE/ml4OzUtEHhPqha+bI78dyOwSBtzmxFzsTIIvb5/wu5DJ++aEk5RzimX7TrAs5gR//jqGgrIqbpnSdT7PWtILyojPKCLM25n3Nx3DbGfirxdEdjsjbnV8NgN8XQjzcWnWuMkDffB0tufHmBNdxoDbkpQLwKQB3lZtPyvSj5dWHianuAJfN8e2FE1zDkKIB4BbAQnEAjcBfYAvgd7AHuA6KWVlhwmp0ZzDgfRCnl+ewKbEXIK8evHqVSNYMKxvl++Z2ZPxcXXks1vH8+wv8fxv8zHiMgp585pReLtqndBV0eZ3E1gskpVxWcyI9LW6utL0CF+2Hc2jvKqmjaWzHW+sSeRobgnPXDqk2cYbqDDK86L9WXcou0uc96bEXEYEezaY7zbA15UHzotgzZ+nMzfan2d/iWfHsfqrjnZm1iRkA/D+DWO4dnwI76xP4j8rD/9uu/KqGlbGZZFeUNbeIraa4vIqth/La7b3DVTlrnlDAlgZl0VZZef/3gJsScrDz83Rag//rEF+AKw9lN2WYmnOQQgRCNwLjJFSDgHsgKuAF4CXpZThQD5wS8dJqdGcIfVkKfd9uZf5r2/i4IlCHp8fzeo/T2fhiEBtvHUD7O1MPLFgMP+5Yjh7UwpY8PomYtMKO1osTQvRBlwT7EsrIKe4grnR1leVnBbhQ3mVhZ3Hu8YDf0JmEe+sT2LRyECmGiGgLWFutD8llTVsTcqzoXS2p7Csiv1pBUwe2HQoiBCCf18xnJDeztz9+R6yi8rbQULbsTo+izBvZwb4uvLUwiFcNTaY19ck8uqqI1TVWFh3KJsHl+5jzNOruO2TXSx+fzuFZVUdLXaz2HA4l6oa2WIP2oJhfSmprOkSBo6Uki1JeUwa4G21FzW6jzsB7k6sie/859cNMQO9hBBmwBnIAGYB3xjrPwYu6SDZNBoATpZU8s8f45j10jp+O5jJXTMGsP7hmdwypR+OZt0WoLuxaFQQ3/5xEkIILntnC9/uTutokTQtQBtwTbDiYBZmk2BmpJ/VYyb098bBzsSGwzltKJltqLFIHvk2Fvde9vx9fnSr9jVxgDeujmZWxGXaSLq2YWtSHhYJU6ww4ADcnex5Z/FoTpVXc9eSPVTVWNpYQttQWlnNlqQ8ZkX5I4TAZBI8e+lQLhsVxMurDjP6qZXc+OFOVsZncdHQPjxz6RBST5Zy/5d7qbHIjhbfalbFZ+HpbM+oEM8WjR/f3xsfV0d+jDlhY8lsT2L2KXJPVTBpgPV5KEIIZg3yY+ORHCqqu4aXsTsgpUwH/g2koAy3QmA3UCClrDY2SwN0p11Nh1BWWcObaxOZ/uJaPtpyjEUjg1j3l5k8fEFUgz00Nd2DIYEeLLtnMmNCvfjz1zE8uexgl3m20Si0AdcEK+MymdDfGw9n629mzg5mxvbzYn0XMOA+3XqcfakFPD5/UKt7hDia7ZgRqapwdmYDYHNiLs4OdowItv6BPzLAjecvG8qu5Hye/SW+DaWzHZuO5FJZbWHOoDOTDyaT4MXLh3HT5DCmR/rx3nWj2fX3Obxw+TCuHR/KExcPZu2hHF5Z9fswy85IdY2FtYeymRnp1+JGpXYmwfxhfVgdn03eqQobS2hbthje7YlW5r/VMjvKj5LKGnYey28LsTT1IITwAhYC/YC+gAswr55N671ZCiFuF0LsEkLsysnp/LpE03WorrGwdGcKM/69ln/9dojx/b357f5pvHD5MAI8un7lZY11eLs68snN47hlSj8+2nKca9/fTk5x59aBmjNoA64RErNPkZRTwtzBzQ/Nmh7hy+GsU2QUdt6cohMFZfzrt0NMi/DlkhG2mQSeOziA3FOV7EvtvA+KmxNzlZe0mWXjF44I5KbJYXy4+TjLuoC3Zk1CNm6OZsaE9T5ruZ1J8MSCwbx+9UjmDg44K0Rm8fgQrhyjwix/PZDR3iI3mz0pBRSUVjF7kPUe8vq4ZnwIlTUWlu5KtZFkbcPmxFyCe/dqdu+lSQN8cDSbWJ2Q1UaSaephDnBMSpkjpawCvgMmAZ5GSCVAEFDvzURK+Z6UcoyUcoyvb8tD2zWaWqSUrIrLYt6rG/nrt7H09ezFV3dM5P0bxhDu79bR4mk6ALOdicfnR/PKlSPYn1bAxW9sIia1oKPF0lhBqww4IcQDQoiDQogDQogvhBBOQoh+QojtQogjQoilQogu2/p9ZVzLSpOD6gcHdOowyqU7UymrquGZS4bYrCrhjEhf7O0EKw52zgfF9IIyjuaWWJX/Vh+PXjiIMaFe/O3b/Z266IXFIlmdkM20SN9mGapCCP55yWBGBHvy569iOJJV3IZStp7V8VnY24nTv7eWEuHvxsT+3izZltJpvcc1Fsm2o3lM6t/8724vBzsmDfBmdXw2UnbO8+uGpAAThBDOQt1gZwNxwFrgcmObG4AfOkg+TQ9iT0o+V767jVs/2UWNRfLO4lF898dJjOvXu+nBmm7PJSMD+ebOSZiE4A/vbuXrTj6ZqWmFAdcTKmytiMtkWJAHfT17NXtspL8b/u6ObDic2waS2YY9KflE+Ls1eza/Mdyd7Jk4wIffDmZ2ygfFzYnq87A2/+1c7O1M3DcnXBVrOdp5P9sDJwrJKa5gdlTzPVOOZjveWTz8uy8CAAAgAElEQVSaXg5mbv90d6cuarIqPovx/bxtkq9x/cRQ0gvKTlfu7GzEnSiiqLyaSQObFz5Zy6xB/qScLCUpp8TGkmnqQ0q5HVWsZA+qhYAJeA/4K/CgECIR8AY+6DAhNd2eozmnuPPT3Sx6awtHc0t4+pIh/PbANC4Y0qfbtZPRtI4hgR78+KcpjA3z4qFv9vOPHw5QWa3z4jorrQ2h7LYVtrKLytmbUsDc6JZVthNCMD3Cl41HcqjuhImhFotkX0oBo0K9bL7vudH+HM8rJTH7lM333Vo2J+bi4+pIhH/Lm6yP69cbZwe7TvugD6ovmknAjGYU36lLgIcTby8exbHcEj7blmxj6WzD8dwSknJKWh0+Wct50f4EuDvxydbjNtmfrant/zaxfwsNOMOYX6PDKNsNKeUTUsooKeUQKeV1UsoKKeVRKeU4KeVAKeUfpJQ66URjcxIyi/jbd7Gc9/IGNh7J4YE5Eax/aAaLJ4TqBs6aBunt4sDHN43jjmn9+WRrMte+v43s4q5Vfbun0OJfcXevsLUyXj3kzB1sffuAc5kW4UtReTUxnbDPxpHsUxRXVDMqxPYG3HmG0bsirnM9KEop2ZyYy5SB1pdgrw9Hsx2TB/qwNiGnU3oZAVYnZDEqxKtVhWnGhvWmv68L+zppPPyq+JaHONeH2c7ENeND2Hgkl6M5nW/yYUtSHgP9XPFzb1mRgUDPXkQFuLFatxPQaLolpyqq+WJHCgvf3MwFr2zk291pXDs+hHUPzeS+OeG4OJqb3ommx2O2M/G3Cwfx2tUjiU0vZMHrm9ib0nnrGvRUWhNC2a0rbK04qPpnhfu13FMzZaAPJkGnrEa5x/gxtrT0emP4uzsxItiTFQc7VzuBhMxick9Vtjj/rS4zI/1ILyjjSCf0MmYWlnMgvajFfdHqMizQo9M2+lwVn0WEv6tNQ4CvGheMvZ3g007mdaysVn0lJzWz+uS5zB7kx67k/E4dFqvRaKxHSsnu5Hwe/iaGcc+s4m/fxVJaUc3j86PZ9uhs/rlwCL5ujh0tpqYLcvHwvnz3x8k4mE1c+e42lu5M6WiRNHVojR+921bYKi6vYktSLnMHB7TKU+Pp7MDwYM9OWchkT3I+Xs729PNxaZP9zx3sT0xaYaeqwnk6/y3cBgZclPrOru2EYZS1oZ22CC0cGuRJZlF5p2tgnpBZxM7j+TYxUuvi5+bEvCF9+GZ3GiUV1U0PaCf2pxVQWlnTagNuVpQ/NRZ5ukCTRqPpmpwsqeSDTcc4/5UNXPb2Fn7an8GCYX357q5JrHhgGrdM6dfq1kAaTXRfd5bdPYXx/Xvz129jeez7WJ0X10lojQHXbStsrTuUQ1WNbHH+W12mR/gSk1bAyZJKG0hmO/ak5DMyxKvNkpjnRqvQ01Wd6EFxU2IuA3xd6OPR/KI059LHQ4WjdcY8uDUJWQR59WqV97iWYUEeAMSmdx4v3MmSSm77ZBfeLg7cOCnM5vu/fmIoxeXV/N++dJvvu6VsScpDCJjQwvy3WkYGexLh78p/NxzF0kmrbWo0mvqxWCSbjuRyz+d7mPDsap76KQ5nBzPPLxrKjsdUP89RbajXNT0TLxcHPrppHHdOH8CS7Slc/d9tnW5StyfSmhy4blth67eDmfi4OjDSBvlhs6P8kZJO9aBfUFpJUk5Jm4RP1jLQz5X+vi6dJg+ustrC9qMnW1x9sj5mRalwtKLyzhOOVl5Vw6bEXOYM8reJEo/u445JwP5OEkZZVWPh7iV7yCqq4N3rRuPfwnywxhgd6sWgPu58ujW50+Q4bknKZXBfdzydWzejbjIJ7poxkENZxazuRPckjUbTMBmFZby++gjT/rWWxR9sZ+ORXK4ZH8Kv90/l/+6ezFXjQnDV+W2aNsTOJHhkXhRvXDOSuBNFzH99E7uTdV5cR9KqUkTdrcJWdlE5f/piLz/tz+DCoX2wM7X+AXhIoDt9PJw6VT7YXqMoRVtUoKzL3OgAtibldYp8m70p+ZRV1dgk/62WmVF+1FgkGztRq4gtSbmUV1lOVxxsLS6OZgb6uXYaD9xTP8Wx9Wgez1061CYTLPUhhOCGiaEkZBaz83jHK6jyqhr2JBcwaYBtvrvzh/UhuHcv3lib2GkMVI1GczZVNRZ+O5jJzR/tZPLza3hp5WFCejvz6lUj2P7obJ68eDBRAe4dLaamhzF/WF++v3sSvRzsuOq9rXy+XefFdRS6lixQXWPhw83HmPXSen47mMn9c8J59MJBNtm3EIK50f5sOJLTaRo/703OxyRgeFDbeeBA5cFVWyTrDnX8TP/mxFxMAia0MoeoLiODPfHoZc/aTnB+tfwUk4Gbo5nx/W3XnHVooCf70wo7/GH/ix0pfLI1mdum9uOy0UFteqyFIwJxdzJ3imImu47nU1ljYaKNvrtmOxN3Th9ATGoBW5LybLJPjUZjG47llvD88gQmPreGOz7dzYH0Qv44YwDrH5rB57dNYOGIQJzs7TpaTE0PJipA5cVNGuDDo9/H8rfv9lNR3Tmeb3sSPd7nHneiiIe+ieHgiSKmhvvwz4VDbF7YY+7gAD7emszGIzmtaktgK/akFBAV4N7mJYWHB3ni7GDH3pQCFo7o2G4SGxNzGR7saZOGz7WY7UxMi/Bl3aFsLBaJyQYe29ZQUFrJT7EZXDEmCEez7RT8sCAPvt2TRmZRuU3yB1vCzuMn+ccPB5gW4csj82wzudIYvRzsOH9wAKvis5BSdmhOyYq4TMwmwdgw2xnll40K4tVVR3hzbaJNvdIajab5lFfVsPxABl/uSGX7sZPYmQQzI/24amwwMyJ9Meu+bZpOhoezPf+7cSwvrTjEW+uSSMgs5p3FbZPWoKmfHn9X+Ou3+8kqKufNa0bxyc3j2qQq47h+vXF3MneKfLAai2RfagGjQtvW+wYqZjq6jzsHOjj8LrOwnJjUAqaG277a6awoX3JPVXLgRMeHGH67J53KagvXjAu16X6HGoVMOioPTkrJ/V/uI8jLmdevGmmT0GZrGB3qRX5pFcdyS9rlePXx9a5UPtmazKJRgTbNcXGyt+O2qf3ZkpR3uqWIRqNpX+JOFPHEDwcY98wqHlgaQ0ZhOQ+dH8mWR2bx/g1jmBPtr403TafFziR4+IIo3rp2FIcyi5n/+iZ2HT/Z0WL1GHr0naGssoa4jCKuGhvCRcP6tNksu72didmD/Fkdn0V1TceWXz2cVcypNmrgXR9DAj2IyyiipgMr3n29KxWLhMtG2d4LOC3cFyE6vkiNlJLPtyczMsST6L62zYuI7uOOnUl0WD+4tPwy0gvKuGVKPzycbedBbYraHNE9KR3TyHxNQhaPfBfL1HAfnr5kqM33f834EDyd7XlrbZLN963RaOqnuLyKJduTufiNTVz42ka+2JnKzCg/Pr9tPOv+MoO7Zw7UXgxNl+LCoX34v7sn4+Jgx9X/3cYba45QWtl52vB0V3q0AReXUUiNRZ4uld6WzI32J7+0il0dXLXnTAPv9jHghgZ6UFpZw7Hcjml4bbFIlu5KZdIAb0K9be9d9XZ1ZESwZ4f3g9t+7CRJOSVcO9623jdQ3poIfzf2d5AntdaDOzSw7X+ndRno64qbk7lDPFS7k/O5a8keovu48/bi0TiYbX+rdnE0c9OkfqyKzyIhs8jm+9doNAopJbuOn+QvX8cw7pnVPPb9ASqrLTy5IJodj87m1atGMmmAT4eH4Ws0LSXC340f7pnC7Ch//r3iMFNfWMv7G49SXqVz49qKHm3AxaSqB8PhwW0fTjgtwhcHs4kVBzs2jHJPcgG9XRwI9XZul+MNCezYPmKbEnNJyy/j6nEhbXaMmZF+xKQVklPccQVXP9+egruTmfnD+rTJ/ocFehCbVtAhhUxi0wsxmwSRAW7telyTSTAi2JM97TzpkphdzC0f7yTA3YkPbxrbpuXBb5gUiouDnfbCaTRtQHF5Ff/dcJQ5/1nP5e9sZXlsBpeM7MsPd09m+X1TuXFyv1a3BtFoOgsevex557rRfPvHSQzq487TP8cz7cW1fLzluC5y0gb0bAMurYAAd6d2CVdwcTQzdaAPK+IyO7Sa396UfEaFeLZbUYYBvi442ZuITeuYGf4vd6bg5WzP3MGtb8reELUl+9cfzmmzYzRG3qkKlh/IYNGooDarTjY0yIP80irS8svaZP+NEZteSIS/W4dUXhsV4nU67Lg9yCoq5/oPdmA2mfjk5vH4uDpaPzgjBoqb167E09mBxRNC+Wn/CVJPljZTWo1G0xDHcktY+OZmnvklHo9e9rx42TB2PDaH5xYNY3hw++lgTRsgJVRXQnkhnMqGghTIOQwZ+yF1JxzboJb1UEaHevHZreP58vYJhPm48MSyg8z41zqWbE+msrpj04i6Ez26CuX+tMJ2CZ+sZe5gf1YnZBOfUWzzPCVryC+p5GhuCZePadsS7HUx25k6rJBJ7qkKVsZlccPEMJtWZTyX6D7u+Lo5svZQNpe3cXn7+vhmdxpVNZJrx7edl7H2dxKbXkhw7/bx3oIKPYpNL+T86I6p3joq1AuLhJjUgnap1vi/zcfIOVXB93dNJqQ5XvKsOHh/DvgNgtvXQzMeDhdPCOXdDUdZFZ/FTZP7tUBqjUZTl41Hcrh7yR7MdiY+v228zXo4aqykLF8ZVJXFUF0B1eVQVa7eqyuguqz1y2liIl6YIGo+TLwHgsc1657cXZjQ35ult09gS1IeL604xGPfH+DtdUncOyucRaMCdYGeVtJjDbhCo7pcez5wz4ryR4hYVsRldogBtzfVhvlvVWVgMoNd00UlhgZ68M3utHYvtf+tYdhcNS64TY9jMgmmhfuyOqH9S85bLJLPd6QwLqw34f5tF2IYGeCGvZ1gf1ohFw5tmzDN+kjLL6OgtOp0Jcz2ZoQRXr0nOb9dDLhdx/MZFuR5OvTYKqor4fs71KxwRgzEL4PohVYPD+7tTD8fFzYcztEGnEbTCqSUfLTlOE//HE+4nyv/vX5Mu0549ThqqiAvEbIOQtYB4/0gFKVbN97OEeydwOwEZkcw91Lv9sa7k7uxzuns5aeX1V1eZ5mdPRxbDzs/UPfjwDEw8W4YdDHY9azHbiEEkwf6MGmAN+sP5/CflYd5+Nv9vLUukXtnh7NwRGC7VZbubvSsb1Id9qerynJt3cy6Lr5ujowO8WLFwSzunxPRbsetZU9yAXYm0XqvY3khvDcD+o6Cyz9ocvMhgR58vDWZY3klDPB1bd2xrURKyZc7Uxkb5sVAv7bPnRoT5sW3e9I4nlfaJq0oGmJLUh7JeaU80MbfJ0ezHVEB7sSmt29FxhYXMCkrgLSdkLIVCtPg/GfBpfkGmEcveyL8XdndDoVMKqpriE0r5MbJYc0buOFFyNwPV34Gq5+CNc+omV+T9V7naeE+fLUrjYrqmjb1Vms03ZXKagtPLDvAFztSOS/an5evHNGm+as9CilVqGJdIy3rIOQegppKtY3JDD6REDoZ/AeraAQnjzNG1bmGmp0DmNrQA9R/Okz9M8R8AVvfgm9uAo9gGH8njLpOydaDEEIwI9KP6RG+rIrP5j8rD/PgVzG8uTaR++dEcNHQPrqITzPpsXeX2p5W7T2zP3ewP8/+kkDqydJ2n5nbk5LPoD5uODu04mOXEn68H04eVQ/GZfnQq3GPXu01PpBe2G4G3LajJzmWW8I9Mwe2y/FqPTX7UvPb1YBbsj0ZL2d7LhjS9iGGQ4M8+DHmRLt6GZtVwKS6EtY+DUdWQXYcIEHYqdCVghS4/gelvJvJqBAvlh/IbHMP8oH0IiprLM3zkKfuhI0vwYjFMGgBWGrg6xsg9msYfpXVu5kW4cvHW5PZdbx9PI0aTXci71QFf1yyhx3HTnL3zAH8+bxI/TDaUqrKICfhbEMt6yCU5p7Zxq2PMtIGzgL/IeAXDT4RYO5kBWEcXGDsrTD6ZjjyG2x9E1Y8BuueV0bc+DvAK6yjpWxXhBCcF+3P7Cg/fjuYycurDvOnL/byxppEHjgvnPMHB+j8UCvpsQZcTGoB/Xxc8OjVwr5SyVvgm5vB0Q36jjzzChiqfrQNcF50AM/+ksDKuCxuntJ24Uo5xRU42Ztwc1LnV2ORxKQWcFlrQ0b3fgoHv4PBi9R7/I8w6vpGhwz0dcXRbCI2rZCFI2zfi60+vtyZgpuTud3C/SL83XB2sGNvSgGXjmyfsNzsonJWxmVx0+SwdinwMSzQg8+3p5CcV0pYOxmpzSpgkvATbH4VwqbCzEcheDwEjYHDv6rf6k8PwMI3m52LMCrEiy93pnI0t4SBfm03AVFb7XJ0qJUGXGWpCp10D4QLnlPLBl0MAcNg3XPqN2rlA82E/t7Y2wk2HM7RBpxG0wziM4q47ZNd5BRX8OpVI9pNx3V5pFQTa1kHIbuOoZaXCNIodGHupTxpkfOUoeYfDX6DwcW7Y2VvLiaTOofIeXBiH2x7C3a8B9vfURNvtXlyPQiTSTBvaB/OHxzAT7EZvLLqMHd+tofBfd15YE4Eswf5aUOuCXqsAbc/rZAJ/Xu3bHBWHHxxFfTqDd4DVcWh/UvVOrMT3LkZfOr3/PTzcSHC35UVcZltZsCl5JUy/d9rkRLcHM309eyFl4s9JZU1rct/yzkEvzwM/abBZe+rfJv9XzVpwJntTAzq495urQQKSitZfiCTq8YG08vBigf/6kqlQE7shaIMGHcbuPo165h2JsHwIE/2tmPT50+3JVNtkU23SEjZpkJPRt1gVc5iQ9R6UvenF7aLASel5EB6IXOtLWBy+Ff1m7z+h7PDB4dcBrlHlFHjEwFT7m+WHKNCjTy4lPw2NeB2JZ8k1NsZXzcrvYSrnoCTSXDDjypXA9SDwqzH4fM/qMmWsbdYtSsXRzNjQnuz/nAOf7twUAvPQKPpWaw4mMn9S/fh5mTmqzsmtktLoi5JeRFkx58dApkdBxV1qlN7hSkjLfoS5V3zHwK9+zUrFLxL0HcELHoP5jypjLhd/4O4HyBorMqTi1rQo/LkTCbBxcP7cuGQAJbFnODV1Ue49ZNdDA/25MHzIpgW7qMNuQboOd+SOmQVlZNZVM6wluS/FaTAZ4vUzNANy8DTeHguyoAUwyt3ZEWDBhzA+YMDeHNtIllF5W3SwiAhswgp4abJYUgJ6QVlZBSWEe7n2vLZ9aoydW4OznDpe+qmOvQPsP4FKDoB7n0bHT400IPv96a3SyGT7/akU1lt4aqxjRg2lhpY9SQc36SUSm0cPcDB79Vn28Q5ncuIEE/+u0E1rmxrj1hhWRUfbT7OvCEB9G8qLPWXh1SO1K4P4eLXIHB0i44Z4e+Gg9lEbFoBFw9v3rVpCekFZeSXVjHEmjDnmmr1uws/v36FP/2vagJi1ZPgEw5RF1ktR38fV9ydzOxNyeeKMW1TEEdKye7kAqaFW/n7TFqrlP+Eu9SESl3Cz1Pexw3/ghHXqAR7K5gW4csLvyaQXVSOXzu0VtFouipSSt5al8S/fjvE8CAP3rt+TLu0I+pSxP8E+5Yo/Vq3pL6jhzLQhl1xxlDzG6SimXoS7n2VETf1LypPbttb8PWN4BECE+6EkdedmZjrAZjtTCwaFcSC4X35bk8ar61O5Ib/7WBMqBcPnhfBJB0Z8jt6ZA3PmFSjgElwM/PfSk/Cp4tU6NLib88YbwDufdRMf+/+yiPXCJeMDMQi4Yd9VlZKaiapRq+ue2YO5MmLB/Pf68fw05+msvLB6dbP7p/Lir+rG/El76hzBXUDRsKBb5scPjTQg1MV1RzPK2nZ8ZvBV7tSGR7s2Xilz7RdsOU1Vep3wh/hDx/BfTFw03LVS+vDeZCf3Kzjjgz2pNoi26Vlwkebj1NcUc09s5rI8StIUcbboAVQmqdKzf/2GFQ2/3OwN1pC1OaPtjXNKmCStkPlY0ZeUP96IeCSt1SY87e3qX49VmIyCUaGeLEnue28q6kny8g9VcEoa8MnV/8Teg+A2f/4/Toh1PLiDFUFzUqmRSgFueFIbhNbajQ9l/KqGu77ch//+u0QC0f0ZekdE7XxVpfqShWps/Ra9cwQOEZFBVy9FO4/AI8kw83L4aKXYMzNKnSwpxlvdXF0VVE/9+yCqz4Hz2D47VH4T7TS1T2sn5y9nYkrx4aw9i8zePqSIaTll3HN+9u56r2t7Dh2sqPF61T0SANuf1ohdiZBdJ9mGHCVJbDkD+rHdPUXEDCk/u36TYPkzcoj0AADfF0ZEezJt7vT26Spd1p+Kc4OdvR2aWVCb021Chfd9ArsfB8m3A0Rc8+s9x6gKlHu/6rJXdWWRT9wom0beh/PLSEhs5iFTXmIjm9U79d8Bef9EwZfqkI4QiepELyyfGXE5SZafewRIbWFTNo2jLK4vIr/bT7GnEH+DO7bxHc44Wf1Puf/wd3bYfSNsPUNeGsCHFnZ7GMPC/LgQHohFkvbN6Pfn6YKmERZU8Dk0HIw2cOA2Q1vY99L/XZ7ecKX16i+PlYyKsSLw9nFFJVXWT2mOexOUYrJqvy34iw4sQdGXN2wdy1sCvSfCZv+AxXFVskwKMAdH1dHNnRQQ3qNprOTWVjOFe9u5cf9J3j4gkheuXJEu+QfdxkKUuDDC2DHuyo64J7d8IcPYdpf1OSaZ3CP7IdmFSY7FRly0y9w21p1vba/A68OV565tF0dLWG74mA2sXhCKOsemsGTC6JJyinhine3ct0H29nTDlWhuwI90oCLSSsg0t/NuvwoUMm239ysHpou/wDCJje8bdhUFdedGdPoLi8bHcShrGIOtoFBk3qyjGAv55bFDZ88BssfgQ/Oh+eD4e2JKtcmeALMeeL32w/9g/Lw5BxqdLfh/q44mE1t7p367WAmoKp9NsrxTQ0nQweNhht/Vg/4H85TRqwV+Lk5EejZq83z4D7ZmkxhWRX3zraiwmbCz+A7SBnbTh4w/2XlZbRzhCWXw+dXQl6S1cceGuhBSWVNm3xvz6VZBUwOLVe/y6ZCTtwC1MxvYSocXWe1LKNCPZHyjPfe1uw6no+bo5kIa3r5Ja5S7+HnN77d7MeV13XXh1bJYDIJpob7sCkxt10MdI2mK7EvtYCL39hEUvYp3rtuDHfNGKhzc+py6Fd4Z6rKN77iE1VYqbNVhewqBI5SdQbui4FJf4LENfD+bPhgrsqXs9R0tITthpO9HTdO7seGh2by2IWDiDtRxKK3tnDThzuIbadooM5KjzPgpJTsTytsXvhkyjZVIGHOkyoUrTFq81GaCKNcMKwPDnYmvt2TZr0cVpKWX0pwb+vyXs7CUgNfXaeSakEVvbj0PeXav2l5/SXYhyxSYYixXze6a3s7E4MC3Nr8B7ciLovBfd0J8mqkRUN1JaRuV16KhggYqmbChAk+uggKUq06/sgQT/a24exQSUU1H2w6xsxI36ZzOEvylDd40Pyzl4dOgj9uUZ7H45vgzfGw8h9WeWrG9euNg52Ji9/cxB/e2cL7G4+SerK0FWdUP7UFTKwKn8xLgrwjEDHPup0PmK3yMOJ+sFqeEcGeCEGbhVHuTs5nRIindQ1Nj/ymymgHDG18u8DR0Ge4qs5pJdMifDhZUsmBEz1bMWo0dflhXzpXvLsVB7OJ7+6azHnRTUwQ9iRqqmHlE/DFlcrDdvs6iF7Y0VJ1DzyClJ5+MA7mvQinsuCr6+G1kbDtbaujK7oDvRzsuG1afzY8PJOHL4hkb2oBC97YxG2f7CKuHSaUOyM9zoBLziulsKyqeQVMdn8Eju6qn0dTuPopj8exjY1u5unswOxBfizbd4KqGov1sjSBlJLUk6WNGzANsfczyIyFS9+GW36Dec/D8CtV0YeGGl66BSijNfZr5alshCGBHhw4UdgmYaMA2cXl7EnJ5/zBTVQtPLEXqkobN+AAfCPPeOKW3dPk+QGMDPHiRGE5WUXlzZDcepZsT+ZkSSV/mh3e9MaHl6tyzFHzf7/O7ACT74M/7VG5jJtfhddHQ9KaRncZ6u3CL/dN4b7Z4RSXV/P0z/FMfXEtC9/cTEFpZaNjm0OzCpgcWq7eG8p/OxezgyrnnPAz1FgXEunmZE+En1ubhG4Ul1dxKKvYuvDJmipVwCT8POtCkSLmQeoOKLEur21quC8AG3UenEaDxSJ54dcE7vtyHyODPVl2zxTrelL2FIoy4OMFsPkVFZ5/y0oV7aGxLY6uqmfcn/bAlZ+pAii/PqLy5Fb83eoJ5u6Ai6OZu2YMZOPDM3nwvAi2Hc3jwtc2cteS3RzJ6jkGLbTSgBNCeAohvhFCJAgh4oUQE4UQvYUQK4UQR4z3VtSttz0xaUYBE2sNuNKTqirhsCsa7e92Fv2mQspW5elphEWjgsgrqWT9IdvlnOSXVlFSWdP8JuHlRbDmKRUqOXhR88YOvQLyj0PazsY3C/SguLya5Dzbe2wAVsZlISVNG3DHDe9oaCOhsLX4DIS5T6lwu1rPZCPUNvRuizDKssoa3ttwlKnhPta1g0j4GTyClRemIdz8VXGPW9eoEvxLr28y72+gnxv3z4ng1/unsf6hGfxxxgBiUgvYedx2xk2zCpgc/lU1cm1OQ9TohVBe0KSnvC6jQr3Ym5Jv8/DCfakFSGll/lvKNhWi3VT4ZC0R5wPS6nxHH1dHBvd1Z73Og7MJXVFHahSnKqq5/dNdvL0uiavHhfDpLeNbn1fenTi6Dt6dChn7VKTOgletrniraSEmOxUFdvOvcNsaCJ8LW99SeXLf3AxpuztawnbDzcmee2eHs+nhWdw7ayAbDucy95UNPPjVPsqrekaIaWs9cK8Cv0opo4DhQDzwCLBaShkOrDb+7zTEpBbiZG8iwt/Kfk77l0JNhZpdspZ+05SHJ73xH9OMSF+8XRz4bq/twihrw9mCvJp5I934byjJUXHrzY3rH7RA5VQ1EUZ5ppBJ24RnrTiYRai3c9Of7fFNqnSxtc1Ax9wM/WfAiseVodoIg/u6Y28n2Jtqe49NBf8AACAASURBVE/NFztSyD1Vyb3WeN8qS5Q3Leoi6z7PoNFw7deqT9zSxVZXqQz1duGuGWrG9bANZ79i060sYFKWD8lbIMJK71stA2aBg2uzwihHhXhSVF7N0dxTzTtWE+w6no9JnDH+G+XIb6pYS//p1u28zwhwDVBGrpVMi/BlT3I+xW1UsKWH0eV0pEb1Ul301mbWHsrh/108mGcvHYKDuccFLNWPxQLrX4RPLlGTfretVZE6mvYlcLSqyXBfjOofd2QVvD9L1S+I/9GqiKHugIezPQ/OjWTjwzO5fVp/vt+bzj2f76XahpFtnZUW35GEEO7ANOADACllpZSyAFgIfGxs9jFwSWuFtCX70woY3NcDs50Vpy6lCp8MHN10vkldQicD4kylwwawtzNx8Yi+rIrLtln4WZrRQiC4OSGUJ4+qeOrh16jk2ebi5K7C1w5812hIWoS/Gw52pjZp6F1UXsWWpFzOHxzQeGJ5dSWkNJH/di5CwMVvqHy4H+5RCqwBnOztiO7rwT4be+DKq2p4Z30SE/r3ZmyYFQ3oE1dBdXn94ZMN4RkMl/8Pcg/BsnutVgBuTvYEevbiUKYtDbgiwq0pYJK4GmSNColsDvZOyjuV8FOjFWPrUlvif3eybY3zPSn5RAa44+ZkRZP1IytVsRZry26bTKpybOLqJiMCapkW7ku1RbI1Kc+6Y2jqpavqyJ7OtqN5LHxzE1lFFXx80zhumBSmi5XUUpILSy6Dtc+oAma3rQG/qI6WqmfjGayihB48CBe8oNrHLF0Myx9u9Fmlu+Hl4sDf5g3inwuHsCo+i0e+i22zdJ3OQmumlPoDOcCHQoi9Qoj3hRAugL+UMgPAePezgZw2obrGwoEThdaHT6Zuh5yE5nnfAJx7K4PPivCsy0YFUVlj4cf9Gc07RgOk5isPXLOKmKx4XM3q19dTylqGXgGluXB0fYObOJhNRPVxa5NKlGsTsqmqkZzfVPXJE3uguqx5Bhyom+QFzyqjfOd/G910ZLAn+9MKbToDtCIui+ziCu6ZaYX3DVT4ZK/eEDKxeQcaMBNm/R0OfAPb37V6WGSAm808cLUFTIZZEz55aDk4+7SsOXn0QlWlMXmzVZv393HB09nepuGxNRbJ3pQCRodacU/KT1b3o/C5TW9bl4h5UFkMKVus2nx0qBcuDnZsOKLDKFtJl9ORPZ0l25NZ/P52ers48H93T2ZKuG4efJqUbarK5PHNMP8VWPSeys3SdA4c3VQD8Hv3qsqVO96D7261euKuu3DdhFDunxPON7vTeH55QkeL06a0xoAzA6OAt6WUI4ESmhEKIoS4XQixSwixKyenfR4UDmedorzKYn0Fyt0fgYNb83PCQIVRpm6HqrJGNxvc151Ifze+s1E1ytSTpXg621s3mw/KyEz4CaY+cKZBd0sIP09V9jv4XaObDe7rwYH0IpvPjKyIy8LH1ZGRwU2kk9R6Ra3JfzuXkdfBwPNUxa1GSu+PDPGkrKqGQzYMKVwVl4W3iwMTB1gR9llTpULmIueBnbn5B5v8AEReCCseg+StVg2J8HcjKeeUTQrypBeUcbKksukCJjVVyiMVcb7KDWguA88De2eIX2bV5kIIBgW42zRU9FBmMacqqq3LfzuyQr1bm/9WS//pKsT5kHVhlA5mExMHeLPhsC5k0kq6nI7sqVTVWPjHDwd47PsDTB7ow/d3T6afj5U5790dKWHL66oas9kBblkBY27S/dw6KyY7mPu0ql554P+zd97hUVbZH//c9JACJCQBEhJCCIRepUmTrqhYWRt2XV31p7uru7pd113dXXV3XV3LKoiIoogVpCggIL3XAKEFQksoCTX9/v44MxBiZuZNZpLJTO7nefJMZuad9z3vlPfec8853zMDPrrFckmEv/D48HTu7J/CW4v38NYi622SfA13HLgcIEdrvdJ2/1NksDqqlGoBYLvNrerFWuu3tda9tda94+Li3DDDOptsAiaWFCjPn7woXlKTVabUwVBWLApwTlBKcUPPRNbvz2d3nvu1NQdOnreePlleBnN+A42Tof+j7h04KFRStXbOcdqjpEtiYwrOl3DghHPHtjoUlpTx/fZcRnZMIMCVDLu9/q2RhTTEyigF174qg9iXjlUp7U6kpxp6l5SVs3BHLsMy4q3JzO9bAoUF1UufrEhAAFz3BjRJhul3SeNoF7RvHklJmWbvMfcHCssCJvuXQ1FB9evf7IQ0koWHzK8t99VJi49gd95Zjy1ArLWpWvZOsfB9zJoHTVOrr/IWEiFO3M7ZltNiB7eLY/+Jcx65JjVgfG6MbIjknyvm7kmreH95Ng8MSmXi3ZcRbXUB1N85nw/Tbhelw3Zj4KeLoWV3b1tlsMLlj8O412HPQph8rQjyNRCUUvzpmk5c3bUFL8zezidr/FOls8YOnNb6CHBAKdXe9tBwYBvwFXCX7bG7AOsqAbXMhgP5RIcF0TrWgoOz8WOpIapu+qSd5P6gAi2lUV7XI5EABZ+vO1izY1Ug58Q56wImWz6Do5th5LOeUY9qf5WkpB1Y6XATe/Rz9T7PXUyW7T7G2eIy1+mTpUXVr3+rTHRLGPyUpKMVVH1RaBUTTmxEiMdS7VbvO8HpwlJGWO09tH2WRJbSrqj5QcObiFzx2WMuU0YB2idIA21P1MFZFjDZMQcCQ0SQpKZ0HCe9dZx8ZyuSFhdJwfkSjp/1TFrKuuyTxEWFuv7NlpyXa0m70TVb+W43WgR4ju20tPmIDvJdm7v1SPWPZQB8c4xsaOzKPc11ry9l9d6T/OOmrvx2bEdri2QNgUPr4a3BIpw0+gUZD8Kq0T/X4H163CGf25HNMHEMFLg/x/QVAgIUr4zvzqD0Zjzz2Wa+3eZ6IdrXcFdW6TFgqlJqE9Ad+CvwIjBSKZUFjLTd9zpaa5ZkHaNvm1jXBcl28ZKWPaFF15odMCwaWvZwKWQCkBAdxqD0OKavPUBxac1T0MrLNTn55623ENi3BMKaQKfra3zMS2g7QibU22c53KRD82jio0KZv91zP6Z5W48SFRrEgDQX9QoH7fVvg9w7YKpNAXD/iiqfVkrRvVUTj0XgvtuWS0hQAIOs1GOUl8v733a4+055Qiep5XRwnhVpExdBYIDySHqhJQETrSWilDrYvTqM9FGSXmhRjTItTo61O9czkam12SfpldzU9TVp7xJZUEofWbMD2aOUFtUoWzYJp1urJszdYhw4N/GZMbKhsXB7Lte/vowzRaV89GBfbu7dytsm1Q+0htXvwLujoLwU7pkN/X9mUiZ9lYyxMOEzETd5dxTkWVvE8wdCggJ4845edE5szKMfrmPlHv8S5nLLgdNab7CleHTVWl+ntT6ptT6utR6utU633daLuO3uvDMczD/P0PYWUlEOrIK8zJpH3+ykDpZWAkWuJ7V3D2jN0VNFzNx0qMaHyztTRHFpOa2sRuAOrRcn01MX5rBoOeftsxymagUEKIZ3SGDRjjyKSt3v1VFWrvl221GGZsS7lnne9wOgIGWAewdN6CS1kU4cmx7JTdiVe4aC8+5JsWut+TbzCAPbNqNRiIV6tkPr5EKdcY1bx71Acj/IWeOy4XVYcCCtYxu5HYGzC5h0SYx2vmHuNlFPra76ZGVCo2ThIfNrS4pdafE2By7P/VTR3NOF7D9xznr9W3AjSKlh9LhxEiR0sVwHBzCmU3M25hRwMN9z6c4NDV8aIxsKWmveXrybeyevplVMI758dCC9rKQwNwSKzsBnD8CsX8pC5U+XQKs+3rbK4C6tB8LdM6Ul1sTRLltc+RMRoUFMuvsykpqGc//kNWw7dMrbJnmMBtPY5Htbs+wh7Sw4cHbxks43unfQ1MGygmUhgjGkXRzp8ZH8b8neGtfXXOgBZyUCV1Iok2BP57O3vwpO7hW1PAeM7BjP2eIyVuxxf96yNvskx88Wu06fBIk41rT+rSIBgdDqMhcOnEzKN7oZhcvKPcOBE+cZ3sGiUN32mRAQJPWInqBVX4laHt7kclNPKFEeKijkxNli1/VvW2ZIW4cO49w6HiBplKcOWhrUWkSHER4c6JHasFV75fvf05UDp7WkMbUZKu0Pakr7MXBgheVaCPtvykThDP5CUWkZT07fxF+/2c6YTs359OH+JDYxzacBOLoN/neFXFuH/R5u+8R6r1RD/adFN7h3rixavncN7F7obYvqjJiIEKbc15fIsCDunLiK7OP+IerSYBy4RTvzaBsfSZIrgY+8ndKQuttP3JfIbdVX5Pkt1MEFBCgeGNSGzMOnWLqrZmHeCy0ErIiYHN0qzmXLHjU6lkPaXyW3TtIoB6Q1Izw4kPmZ7qdRztt6hJDAAIa2d+HglBZJZNWd+reKtOonDvD5qh20rkmNUcp9IRN73vbwDKv1b9+Iwma4haiOFZL7ye0B14sQ7RKiyD5xjnPF1vqqVcXmHBEw6ezMgdNaJhmpQyDSA+IO7cfI73TbFy43DQhQtImL8IgD9/XGQzSLDKWbK7XNvB2Qv7/m6ZN22o0BXS49Ai3QJi6S9glRzDF1cAY/IPd0Ibe+vYIZ63J4YkQ6r9/W01pWQ0Ngw0fwv2Eynt35JQx+UsSsDP5FbJqoiDZtDVNvFqG+BkLLJuFMua8PZeXlTHh3FbmnC71tkts0iF/oueJSVu45wVBX0TetYfZTkqo0xLLas2NCGkn6gQUHDmBcj5Y0iwzl7SV7anQ4u7KjJRGTw+vl1tMOXHQL6cnlxIELCw5kUHozvtt21G01vwU7cumfFktkqIuB+ODamvV/c0RyP0BLemEVRIUFkx4f6bZYy/zMo3RNakzzxhYiL8d2SRPumqpPVkV0S1GjtBBFzmgehdawy436sK2HCggMUHRo4SSF8uBaEeToclONj3MJYY1F8CXza0ubp8VFuu3A5Z8rZsH2XMZ1b0lQoIvLcNZcua1u/7fKtOwJEXGW6+AAxnRuzup9J8g7XeTesQ0GL7LlYAHjXlvKtsOn+O/tPXliRDvXisUNgZLzoqj8xUMybj+0RDKHDP5LVHO4Z5Z83tPvgdXvetuiOqNtfBST7unDsTNF3DVxtdslLt6mQThwy3cfp7is3HWUZuvnsOd7GP57z6zsgwhmHN5oKW0pNCiQuweksHhnXo1qiXJOniMuKtS5+IOdQ+ul0XPjWijcbn+V1GKdctycfETHBA4VFLLtcM3zkXNOnmNP3lkGW0mL9VT9m52k3qIyut9xn7QRHRJYtvs4uadqttKTd7qI9QfyLygCumSHzWl2ty6sMsn9xYFz4Wy3SxDVSHfq4DYfLCA9PtL5d3jzpyKW40lHtc0VkJ/t9DtrJy0ukpyT5yksqXkN59ebDlNSprmhZ6LzDctKYe1kcb4aJ9X4eICsqKePhqzvXNY02hnTuTlaw3ceiJYbDHVN/rliPl69n5veXIYCPn1oAFd1caPfqT9xfDe8MxLWT4FBv5TIW1Rzb1tlqAvCm8KEz2VRcNYvYNHfLbeY8XW6t2rCWxN6sSv3NA+8v8atcdzbNAgHbtHOPMKDA7ks1UlaWdFpmPsbaN4Vet/ruYOnjwL0xSa8Lri9bwrhwYH8rwZRuAMnzldDwGSDZwVMKpIxVm53fONwk2EZ8SglCos15YcsaTQ82Io6o6fq3+yERIhCoxP5+Zt6JVFWrvl8fc2kexduz0VrrDtw27+R728TDzvlrfrC2VypbXRCSmwEIUEBNa6DswuYOE2fLC+TZvHpo6TVgaewF+rnOO/bCNILTmvc6nn3+boc2idE0dFZpBHkXE/shkG/qPGxLqH9GOmd52ThoSIZzaNIiW3EbFMHZ6jnaK3Zf/wcn63L4ZnPNjPylUV0f+5bfj1jMx1bRPPFo5c7v7Y0JLZ+AW8NgVM5cPunMPwPEGjSSRsUIY3glqnQ7VZY+BeY/WtLQl7+wKD0OF4Z353V+07w6IfrKS3zzfP2Cwduw4F8/u+j9ZRU8SForfl+Rx4D0mIJDXKyqr/o76LeN/YVEanwFC17QFQLEZewQNOIEMb3TuLLDQerHbk5cPKctRYCJechN9Pz6ZN24jKk4bATB65ZZCg9WjVxa2V/ya5jNI8Oo228i1rFwlNS/5bqZvuAyiT3d6rQ2CYukl4pTZm+NqdGqaLfZh4lsUk4HVq46IcGcCZPnEm78+xJkvvLrYs0ysAARXp8JDuO1iy98MipQo6dcSFgsu8H6dvmrsBQZZp3lXYCB1w7cG2a2ZUoa3aee4+dZd3+fG7omei8fUB5GSx+CeI7QnsPfa5trpDo5c65ljZXSjGmU3OW7Trm8+kmBv+itKyczTkFTFq6l0emrqPvX+cz+B8L+cUnG5m56RCJTcN5anR7pj3Yj09+2p/4KDcEgPyF0mKZqE+/C+IzRGXS3dpag+8SGAzj/gv9H4VVb8HnD8p3pAFwTbeWPHdtJ77LPMozn212u5zHG/jFksvxM0V8tfEQvVs35c7+rS95bu+xs+w/cY4HBqU63kFuJqz4L/SYIOqCniQgQFIKN34kjpOF3lz3Dkxlyops3lu2j1+NybB0mNKycg4XFFoTMDmyBXRZ7TlwSokjsfItcZ7Cqo4yjOiYwN/n7OBwwXlaNK6eElhZuWbprmOM6JDguofWlhnSQ6uzh2qm7CT3hZVviEJjUq8qN7m5VxJPf7aZDQfyLyhTWqGwpIwlWXmM793K9fmB9ERDXxSR8SRxGVIntn8FdL/N6abtm0exdNexGh3GkoDJlk8hOOJiXzNPERQiiqwWHLjUZhEoBbtzaxaB+3z9QZSCcd1dpE9u+1JqGm+a5DlBgdBIqQPdORdG/8XSS0Z3bs5bi/ewYPtRru/hZhqnwVBDzhaVsuFAPqv3nWDNvpOs23+Sc8WS/pTYJJz+abH0bh1D75SmtEuIMg25K5O/H6bfLTXE/X4GI56V656hYRMQAKOeh0axMP9ZOH8Sxr8vWUZ+zoT+rTl2pph/z88iJjKEZ67s4G2TqoVfROCGZcTTv00s//oui1OFl64SL9ppbx/goP5Na/jmKQiJhBF/qh0DM8ZCyTmpr7NASmwEozs154MV2Zwtsqbod7igkLJyTasYC47QIbuAiYdbCFQkYyyUlzhVvBtpSw2cn1n9NMotBwvIP1dirbn1uvchvhMk9qz2cZzSyrVC49iuLQgLDuDTtTnV2vWy3ccoLCmvXvpk42RJ6/Q0AQGSRukkXdRO+4Qojp4qIv9c9VfxthwsIEDhOK2wtBi2fQUZV0n6h6dJugwObxDFUieEhwSS2CS8RhG48nLNZ+tyGNi2mXNhmvJyWPwPaNZe2hx4knZj4HiW1MBYoHtSE5pHhzHHpFEa6pDcU4V8s/kwz369lWv+8wNdn53H7e+s5N/zszh+tpibeiXx6q09WPb0MJY+PYx/39KDCf1S6NAi2jhvldk5F94cBMeyZHI+5gXjvBkuopSk6V/zKuxeAO9fZ7ndjK/zxIh07uyfwluL9vD2YmtjYn3BLxw4pRS/HduBE2eLeeP7Sz+A73fk0aZZBMmxDiZ8W2ZIfdSIP0KEBWegJrQeBKHRltMoAR4Y3IZThaV8suaApe0v9ICzEoE7tF7U6KJdRADcoVVfWdFxkkbZNj6SlNhGNWonsCRLHPOBbV18Zkc2i6BKzzs9X+8X3QKapDitJ4oKC+bKzi34auOhahXLfrstl8jQIPq2sVCzV3wW9iwUx6Y2ahpBPs+87S4v6u2aS7rnzhqkUW45dIr0+CjCQxykMO9eAIX5no+k2mnVB8qKLfW8q6kS5Zrsk+ScPM/1PVz89nbMkjYVg5/0bEo3XFSztFiXGxCgGN0pgUU789xqEWEwOKK8XJN19DQfrdrPLz7ZwOC/L6TPX+fzs6nr+GjVfiJCA/nZ0DQm39uHjX8cxezHB/HcuM5c260lLU0fN8eUlcJ3z8KH46U2+sHvPb8gZPAfet0lDv7hjTDpKjh1yNsW1TpKKf50TSeu7tqCv36znekW59z1Ab9IoQRJu7q+RyLv/rCXO/qlkNgknMKSMlbsOc5tfZMdv3DJyxK16HlX7RkXFCKTph1zpK7FwoSsZ3JT+qTG8PrCXdzQM4nG4cFOt885KS0ELKVQHq5FARM7AYGy0p85U2rEAn9sv1KKER0SmGKLNEa4agVQgSVZx+icGE1sZKjzDddNkdqmruOrewbWSO4nDTG1dvh+3tQric/XH2Tu1iOu0+aQycz8zKMMaRfnvG7Tzu6FkiJaG+mTdi70g1slQhgOaG9Xojx6mj6p1ROM2XywgMHpThRFt3wKYU0gbVi19muZpApCJi5SqdPiIlm19wTl5bpacuSfr8+hUUggozs5UXvTWmpyY9Kg0w2W922ZmFSJ7O2cA/0etvSS0Z2bM3l5Not25HGlUfEzuElRaRmbcwpYk32SNftOsCb7JPnnJHumWWQIvVKacmf/FHq3jqFTy2iCXbXaMFzK2ePy+147CXJWQ6+7YcyLlko4DA2cDtfAHTPgo1vh3VEw4Qto1tbbVtUqAQGKV8Z3p+B8CU9/tpmmjUIY0dFi9pMX8aur4pOj2wPw0twdAKzYc5yiUiftA/L3yyp311s8v8pdmYyxcO6YpRobO3+4uiMnzhbzz293utz2wMlzBCho0cRFoXbxWYmk1Fb9W0Uyxori3b4fHG4yvEM8xaXlLMmyXjd1pqiUdftPMsjZZB+k5nDTNLkgeUp9sjLJ/USh8YRj1dD+bWJJbBJuOY1yY04+uaeLGNHRRdsLO9tnSY2ap1okVEXLntLs2kVD7xaNw4gKC2JnNVsJHD1VSN7pIjonOkifLD4naaIdx9Ve6k90C0lDtfAbTYuP4HxJGYerITRUWFLGzE2HGdOpufPFip1z4cgmkfauLWW4dqNh31KpUbVAn9YxNG0UbJp6G2pE/rli5mce5W9ztnPzm8vo8qd53PTmcl6cvZ09x84yqmMCf7+pKwufHMrq347grQm9uX9QG7q3amKcN6vk74cVb8B7V8NLbeHLn0lblOvfhmv+bZw3g3VSB8HdM2UONXHUxbIbPyYkKIA37+hF58TGPPLhOlbuOe5tk1ziNxE4kELm+wam8sb3u7n38lS+35FHaFAAfR1FAuwpRO1G175xbUeI+tv2mZDS39JLOic25o5+Kby/fB83906iU0vH4g4HTpyjReNw14Pdkc2gy6FFLda/2bEr3u1eII2Sq+Cy1jFEhwXxXeZRxnS21oNm5Z7jlJRpBrlKn8ycCYUFkj5ZW1yog1sJsWlVbhIQoLixVxL/WZDFofzzLlN+5mw5QnCgYliGhRWgslJZaU0fXWWU02OENIIW3VwqUSqlaJ8QVe1ecHYBE4cKlDtnQ8lZz6tPVqbVZZaalqfF2ZQoc8+QaDGFa35mLqcLS7mhpxMhEK1h0d8kNbe2osYg0fFlr0rqrYWUqqDAAEZ2TGD25iMUlZZZiwwbGiwF50tYtfcEy3cfZ/me42Ta+n0GBSi6JDXmLlt0rVdKU5q5yqIwVI3WsgC9fRZkfi2LPiCqtYN+KX0yW3Sr3Uwbg//SsjvcNw+mXCeLArd8CG2GeNuqWiUiNIhJd1/GzW8u4/731/Dxg/3p2NJFqx8v4lcOHMDDQ9P4ePUBnp+1jdzTRfRPi3XcFHjnPGjaGmLrIDwcFg2pQ+RiO+p5yxfVX45qz6xNh/nDl1uZ/tP+DtO1Dpw8X00BkzqIwIU0gsTeTiNwwYEBXJERz4LtuZSVa0vF50uyjhEWHECv1i5UHddNls+3tYfbB1TEokLjTT2TeHV+Fp+ty+HRYekOt9NaM3vLEQakNXOZNguI43j+hNS/1TbJ/WDV/0TkI8jxpKtd8yhmbTqM1tqagiaSPhmgcHyx3DwDIpuLgmJtktRH6mILDkJjx+muFxy4vDPWGskDn63LISE6lP5psY432r1Aajav+XftOuSt+sr3dudcyzUxt/WVSbcPqi0bapmzRaWs2neCFTaHbcvBAso1hAYF0Lt1U345sh2XpcbQLamJ4xpXg2vKyyXFe/tMWaA8uRdQUr878jlx2hwsJBoM1SY2De6dBx/cAFNvghvf8fsaypiIEN6/ry83vbGMuyatYsZDAxxraHgZv8tNiA4L5okR6azce4K9x84y1NHkquQ87F0skYu6WqHKGCsX3NxMyy9pHB7MM1d1YG32ST5d5zgF78CJcxYFTDbIRDi6jupYWg+UmjsnqVpXdm7BibPF/OazzZSVu54dLs7Ko18bF339ju8WcZoeEzwnwV4VdoVGF1Gb5NhG9E2N4VMXPeG2HT7F/hPnLEcj2fGNRDnbjqiO1TUjuR+UFcl3yAntE6IoOF9C7mnnao4V2XqogLS4SBqFVLGmVHxO1Ew7jqv9VGd77ZuLht7NIkOIDguyLGRy/EwRi3bmcV2PROeLFJs+hvAY6Oa8XYPbBAZB25GShWCxeWv3Vk0Y37uV4wUxQ4OhsKSMpbuO8Y+527nhv0vp9uw87pm0molL9xIWFMhjw9KZ9mA/Nv1pFFPv78djw9Pp1ybWOG81obQIsr6Fr/4PXm4PE0fDijdlcn31v+CXOyRScvnjxnkzeJ7oFnDPN7Lo/8ldsGaSty2qdRKbhDPlvj6UlJUzYeJKck9XrydzXeF3ETiAW/sk897Sfew5dpYhjurf9v0ApecvKrLVBe2vgpk/lyhcQkfLL7uhRyLTVu3nxdnbGd2xOY0bXboyX1hSRu7pImsCJofW1030zU7rgbD47+LgtKv6vR7dKYH/G9aWVxfsorC0jJdu7uYwFfRg/nn25J3l9r4pzo+7/gNQAdD9dnfPwDWt+spE+NwJp7V2N/duxZPTN7Im+ySXta56uzlbjhCgYJSVAlqtZSU2dQiEWmj27S4V2yYk93W4WTu7kMmR0yREW2ueu/lgAZenOUiJ3b9MHMe6+K0mdIGgMDiwGjpd73AzpRRp8ZGWe8FNX5tDabnmJmfpk+XlpWa5lwAAIABJREFUsGs+tB1eNxLf7UaLMMyh9Q77GBoMIKIjG/bns3zPcZbtPs6G/fkUl5UTGKDomtSYBwe3YUBaM3qlNDVOmicoPAW7vpUoW9a3UHxaWh2lj5QoW/pIiaAbDHVBeFMRM5l+F8x8QvQcBj3p1+m5beOjmHT3Zdz+zkrumriaj3/aj+iwWsyKqQF+6cAFBwbwj5u7sXB7LqnNHDQjzJoHQeG1n5JVkagE6TW1fSYMecryywICFM+N68zV/1nCS/N28OfrOl/y/MF8mwKlqxTKotNwbCd0rgVlO0ckXSYRon1LHDpwSil+Mao9ocGB/GPuDgpLynj11h5VRth+sLUPcNr/rawUNkyVCX9dRBqTK9TBtb/S4WZXdm7OH7/cwtQV2Q4duNlbjtAnNca1uiZIJPfkPll5rQsi40QZcf9KuNzxZu0vtBI4bSm9MPd0IUdPFTlu4L17oXyHalOkxU5QiCxwuIjAgaRRLrb1mXRGWblm6sps+qbGkJ7gxNE+vF4GxrpaVGo7QhY5ds4xDpzhEkrKytmUU8CKPcdZvvs4a7JPUFhSjlLQuWVj7r68Nf3bxHJZagyR1VAPNjjhTK5kVGTOhL2LpKVJRJyM1xlXS/2Rk9R1g6FWCWkkdXBfPgILnhel09F/rd0MJy/TI7kpb97Ri/smr+b+yWt4/94+9SoDxW+vvL1SmtIrxUGNlNZS+9FmCARbixB4jIyx8N0foSAHGjtZja9Ex5bR3Nm/NZOXi6BJ16QmF56z94BrFeMiAndkM6DrNgJ3oQ5uictNH7miLeHBgTw3cxs/nbKWN+/o9aMfy+KsYyREh5IeH+l4R1nz4MzR2hUvqYhdoXH/CqcOXERoELf2SWbi0r08PqLdjxYXduWeZlfuGSb062TtuJumyQS8NtsHVCa5vwiKOGmbEBMRQlxUKNstCplsOSgCJo4duAVy3Npo3l0VSZeJmltJodPrQ1pcJJ+uzeF0YQlRTlbmFu/M48CJ8/x6TIbz42Z9ByhIG15Dw6tJoxiJHu+cA8N+WzfHNNRLyso1Ww8VXBAdWb33BGeLpW9lRvMobu2TTP82sfRNjf1RBojBDU7sEYdt+yxZAERL3XafB8Vpa9Wn9tPGDQarBAbDdW9Kj98V/5X6+3Gv1269tpcZ3C6Ol8d35/Fp63nso/W8cXtPguqJMq7fOnBOOZYF+dl1F7moSMbV4sBt/wb6Plitl/5iVDu+2XyYhz9Yx/SH+l9QMzxgtQecXcCkLhQoK5I6CBb/QxQhXaR93DswlbDgQH77xWbueGclvxjZjv5psSilKCvXLN11jBEdEpyLY6x7HyIT6i6SYVGhEeDBIW2YsiKb1xbs4uXx3S55bvZmkWh32iPMTvFZWPuetEiIslgv5wmS+8KGD+D4LmjmWIylfUIUO49ac+A255xCKehUlYDJqcOitDbi2ZpaXH1a9RGFxsMbnaaKpsWJA74n7yzdWjVxuN2UFdnERYUyqqOLzylrHiT2hAgnIieept1o+O5P0rA1umXdHdfgVcrLNTuOnmbZbomwrdx7nNOF0qQ9LS6CG3om0T8tlr5WswEM1tBa1CIzZ0omTu42ebx5Fxj6DHS4WlQk/Tg1zeDjBARI5K1RLCz4M5w/CTdPrrsFVi9wbbeWnDxbzB+/2spvPt/M327salmgrTZpmA5c1ly5rcv6NzvN2koT3e0zq+3ARYcFM/Huy7j17RVMeHcl0x8aQExECDknzhESGEB8lIuB9tB6iGopqZx1SeuBIo2+f4Wllg239U0mIjSQP3y5ldveWUmbZhHc1jeZ9IQo8s+VOE+fPH1EJsIDHqvbVaHUQbD0VZd1cPFRYdzRL4X3lu3jsWFtaV0hCjd7yxF6JjeheWMLUeENH4pD3O8RT1hvndaDAAWr34UrX3S4WbuEKD5clW1JWXTzwQLaNIuoujfanu/l1kEbilqhYkNvZw5c/EUlSkcO3IET51i4I5fHrmhLSJCTVbuzx+HgWhjy6xqbXSPajREHbudc6H1P3R7bUGdordmdd4blu6WGbcWe45y0Nc5OiW3E2C4t6J8WS/82scRbrFs1WKSsVOqG7ZG2gv2SOZHcH0a/IFk5TV3UdBsM9QmlYPCT4sTN+oW0Grh1Wu31260H3DWgNcfPFvPq/CxiIkJ5+koXGTV1QAN14ObJKleTVt45fsdrYcnLUr/UtHW1Xto5sTHv3NWbOyeu4u5Jq/jwgX4cOHmOxKbhDlsMXKCuBUzsXFIHZ63n3rjuiYzu1JxvNh9m6sr9PD/ronLnQGf93zZ8CLpM1Cfrkoyr4Yd/yner2y1ON/3pkDZ8sCKb1xbu4qWbJQq3//g5th0+xW+v6uD6WOXlkuLXsqdEi+qSmFS47D5Y9RZ0+4nD71Of1BgmLt3Lx6sPcFvfZKe73HqowHGvxt0LoFEzERepK6ISpA+bi4beyTGNCApQTpUop67cT4BS3OriPWD3AkDX/aJSXIY0LzcOnF8z5l9L2GGLiCc2CWdYRoI4bGmxlvsYGqpJeRksfw2W/hvOHYfAUEgbBkN+Jan2ES76mBoM9Z3e94jTNuN+eG8s3DHDrzM5fj4inZNni3lz0W5iI0J4YHAbr9rjtgOnlAoE1gAHtdZXK6VSgWlADLAOmKC1Lnb3OB6j8BRkL4P+dRy5qEjve+GHf8Gy12DsS9V+ed82sbxxR08efH8tD0xew8lzxSQ1dTEIF56StLeuzp2LWiE4XJw4J/3gqiIsOJAbeiZxQ88kth06xYersgkPDnSc0qO1qE8mD5BIZ13SsidEtZCGqi4cuPioMG7vm8Lk5RKFS4mNYPaWwwDW2gdkzYMTu+HGd72TajP8D3KeXz8O9y8QSfpKjO6UQL82Mbw4O5MRHeOJj6p6Vf/YmSIOFxRWXf9WXi6NptOuqPtC6VZ95PvqpNYvODCAlNhGDpUoC0vK+GTNAUZ0iKdFYxe/z6x5sppZ1wssSsmiyvoPpLVKsJnM+yPjL2tFREgg/dNiSY5pVC/Sf/ya/APw+UOQ/YMsyvS4Q2pbQ53UbhsMvkjHcRDWBKbdBu+Ohju/8Nt2Fkop/nRtJ06cK+Yv32TSNCKEm3pZ17LwNJ6YFT0OVGxs9jfgn1rrdOAkcJ8HjuE59nwP5aXS/81bRLeU6MX6D+DssRrtYlhGAi+P78aKvcfZfuT0jwVMTmbDjtniJM78uTRhBO9E4MDWD26jpP3VgI4to3n+ui78dqyT9gvZy8Sx6VnH0TcQByNjrMjAF59zuflDQ9oQFKB4bcEuQNInOydGuxaiASkejk70XkPNsMZw5d/k81z9vyo3UUrxl+u7UFhSzvMzHfc93GwTMOlSlQN3dAuczZNV67omqQ+cPixiQ05Ii4t0GIGbveUwJ84WM6Ffa+fHKi+H3fNlgucNRa8O10hLlXdHym/I4HfcNzCVW/okkxIbYZy32mbzp/DG5dL/dNx/4bZP5FptnDeDv9JmCNz1NZSchXdHSeuL8jJvW1UrBAYoXhnfjYFtm/HrGZv4bttRr9ni1mxBKZUEjAXesd1XwDDgU9smk4Hr3DmGx8maC6GN6z71rDIDHpdJ08q3aryLcd0TefZaUSxsU1HR8Phu+HdX+OgWmPdb2PKZ/Jh63gWtnei/1yatB4Euh+zltXeM9VMgJMp7jk3GWPlM9yx0uWl8dBi39U3ms/UHWbnnOBsO5HNlZwstD45sEYnpPg94V/mp43WysrzgeYdOTlpcJD+7Io2vNh5ikQO5/S054sB1rErAZPcCuW1Th/Vvdiw29E6Lj2Tf8bOUlv24GfaU5dm0aRbBgDQXoiSH1kuKlTdqckEG35snw/l8mHQlTL/HpeNqMBgqUVgAMx6AGfdBXHt4aAn0uN0IkhgaBok94d55ImYy9SZ4OQNmPSlzvvIfj4++TGhQIG9O6EXnltE88uE6Vu094RU73F3u/RfwK8D+6cQC+VrrUtv9HCCxqhcqpR5USq1RSq3Jy3PdS8kjaC0rA22HeV/2NK4dtB8Lq96GIsc1NK64s39rZjw8gFv7VKixObhObm+eDL/aC09nwwPz4dpXvZcilXSZ1ABYaCdQIwpPwdYvoMuNEOKg919t03qQRKcyZ1ra/KEhaQQGKB6eKp+XpfTJFW9AcCNxxr2JUnDVS7IwMNux8MbDQ9No0yyC332xmfPFl67IrdxznKkr95MeH1m1DP+ehRDXoW56+VUmobP0iTyw2ulmaXGRlJTpC0qwdrYcLGDd/nxu75fiujZ117dI+wAvRBrtdLoOHlkFQ56WXlT/6S11ulp7zyaDwVfYt1SibltmiJrkPbMhxrv1MQZDndOsLfxspcw9k/vJovqkMfCvzjD3t5Cz1m/GlMjQICbd04fEpuHcN3k1mYdP1bkNNXbglFJXA7la67UVH65i0yo/La3121rr3lrr3nFxrpv9eoTDG6U/mLdWuisz8AkozJcvuRv0Sml6qYJf7jYICJL+YPVFFSg4rEZ1cJbZMkOiXz3qqPdbVQQGi6rfztmiPOaChOgwbuuTzImzxbRLiCQtzkWKzZlc2PwJdLu1fnyuTVPgimdEUXX7rCo3CQ0K5PnrO3PgxHn+syALgKLSMl6Ynckt/1tBWHAAr4yvoq1F8TlZufOWUxMYDEm9pUdaqeMSXnsrgd25ly7CTF2ZTVhwADf1tJAfnzUPEnvVbfuAqghpJJ/no6vlfZ//HOyvxYi5weDrlBbDd8+KgENAENw7F4Y+XWVdsMHQIAhpJAuCP5kCT+2CG/4HzbtKttk7w+Df3UT5+Mhmn3fmYiJCmHJfXyJDg7hz4ir2H3ddPuNJ3InAXQ5cq5Tah4iWDEMick2UUvarVxJwyC0LPUnWt3LbdqR37bDTqo8Ibix/HcpKPLff3EyITYegEM/t0xO0Hig9cM7ne37f66dItCaxp+f3XR0yrpa+KPut1RI9PDSNiJBAxnWvMlB9KWsmQlkx9HvYTSM9SL+fSbTqm6ekN10VDEhrxo09k3h78R5mbTrMda8v461Fe7jlsmRm/d8guiRVUf+2fxmUFXk3KtX/UTi5F1a+6XCTNjan+9mZWxn76hJGvrKIwX9fyPQ1OYzrlui66fHZYxIxry+LSgBNkuGGtyE4AjZ+5G1rDIb6ybEsqRv94RURKXloycXUa4PBAKFR0HU83DYNnsqCa18TgZOlr8KbA+H1PrDwBcjb4W1La0xik3Dev7cPJWXlTJi4ktzThXV27Bo7cFrrZ7TWSVrr1sAtwAKt9e3AQsCmmMFdwJduW+kp9iyUhsuRdRTxs8LAJ6DggESQPEXuVkhwIvbhLVoPlDo4T6/qH90mPbR6TvB+vUHb4RAUZjmNMiE6jB9+PYyfupKjLSmE1e+I+I6TBtp1TmAwjP4LnDookSQH/HZsB6LCgnjkw3XknirknTt788INXaru/Qawe6G0nkgZUEuGW6D9GHm/F/1N+gtWQePwYO7qn0JKTATNo8NoGx9Jz+Qm3Ny7FY8Os6CEeqF9wAjP2u4uoZFSS7r1C1GnNNQYpVSgUmq9Umqm7X6qUmqlUipLKfWxUqqerbQZnKK19MF8cxDkZ8P4KTDuNZmsGgyGqglvKnO0CZ/Dkzth7CsQmSDj6+t9JAV5yctwYq+3La026QlRTLz7MnJPFfHq/Kw6O25txPl/DUxTSj0PrAferYVjVJ+SQshZI+IP9Yn0UdKTbum/oetP3HdAik5D/n7o6cVUQkdcqIP7QfrgeIr1UyAg2DstEioTEiFRo+2zRKnRwufZNMLC/C3za1FkrE/RNzutB8nFOetb6HR9lZvERITwyvjuzNt2hF+Oak8zR60g7OxeKI1uQyyoctYmY16A//aDb/8gUakqeHZc55rvP2ue9Llr4SV1WGd0uwU2fijf5S43ud7e4Ai7UrNdqceu1DxNKfUmotT8hreMM1SDM3nw1WOSJt/mCrjuDe/U6BoMvkxEM+kne9l9cOowbPtCxPbmPyd/LXtC5xtkPtHYezL91aFnclOmPdiP9s3rbiHHI5rVWuvvtdZX2/7fo7Xuo7Vuq7W+WWtd5IljuM3BtZKSleIlFUZHKAWXPy51a04iGJaxh6Lj62EELjjM1l/Lg0ImpUWwcRpkXOX9GiI7GVfDqRyRkfYUGz+UhsupQzy3T08RECgS+FnfOlWbuiIjnhdu6OraeTt9RKLIaV5Qn6xMbBoMeAw2fex5BdXyMmk70XaEd9oHuKL1IGjcyqRRuoFPKjUbqmbnPHijv0TNx7wId3xmnDeDwV2iW8jC9P3fwhObYeRzoMtg3u/gn51g4hhY+Tac9p5cv1W6tWpCWHBgnR2vHs4aaonspYCClP7etuTHdL4RopMklOxu74zcbXIb38F9u2qD1gPhsAfr4HbMhvMnvCteUpl2Y0AFWE6jdMmpQ9K/sNtP6udEHySSfDYXjmx0f1+7bW0YvFn/VpFBv5S+e9885dneNofWy3c3vZ7U5FYmIECyAnYvcJhCanCJbyk1G35M8TmY9Uv48GaIiIcHF8qEs75eiw0GX6VJsgQ0froYHlsHV/xO5oqzn4JXMmDyNbD2PTjnHdn++kbDuQLt+0HEFsKbetuSHxMYDCP+KFHCJa+4t6/cTJGZb9LaI6Z5nNTBgJaQuSdYP0Um1/UhWmMnIlYivQ6UGavNpk+kdrDbrZ7ZX23QdjigLgoFucPuBZJWmNDF/X15gpAIGPU8HN0sQjKeIvNrUa6rL45qVXS7Rb57mz7xtiU+h08qNRsu5dAGeHuI1B/3fxQeWAAJnbxtlcHg/8SmwZCn4JEV8PByWUgtOAhfPw4vpcMHN8GGj6T/YgPFfxw4Z3KkpcVwYJV3BRFc0eVm6HwTfP+C2FpTjm6FuIz6uzqY3F9q4Rb8Rer13OFktqSgdb9d0vjqExlXQ16mNFV3B60lha1VX7mg1VcimokCqLtpwFrD3sXSXLo+fYc7XS8phQueh7PH3d+f1rD1c2gztH60hHBEs3T5vW78yOcln72A7yk1G4TyMvjhn/DOCBmnJnwhYk3BYd62zGBoeCR0hGG/g8fWwoOLoP8jUi70xUPwj7Yw7XbY/KlDJWx/pR7NkNwg82t4rbfjhtiH1kuPsNb1rP6tIkrB1a9INGnG/dKYuibkZtbP+jc7SsGYv0m63ZKX3dvX+g/ktucE9+3yNBlXyW3m1+7t5/AGyNsukZD6TvooEQpyx8E5vhvOHJFU2/qEUnDVP2Qyt+Ql9/d3aJ0o2DkQfalXdLtFUrOPbPK2JT6FTyo1GyD/AEy+VnpVtb8SHl5WvzI8DIaGilLQsrvUyT2xCe77DnrfJ/OOGfeJMzfjARFGaQD4hwMXEQfHd8E2B+Ng9lK5rW8CJpUJaww3/k/aCnzzVPVff/aYOEb1tf7NTlIvUYxc/jqc3FezfZSVigOXNkzypusbTZKhRXf3U0U3ThPlTl+Y6KePBDTsnl/zfWTbGr23HuQRkzxKfAdxUnfMdn9fWz8X5dSMse7vq7bpdIO0dNhgxEw8xK+BXyildiE1cfVDqdkgq/hvXC4LZ+P+C+Pfr98RcoOhoaKU9F288kX4xTa4e5YsNmZ+LWJDWz/3toW1jn84cK36Qkwbx2pp2UslrTCiWd3aVROS+8HgX8GmaTKYVIfcTLmt7w4cSM1fQBDM+33NXr/rOzh9CHrd5Vm7PEnXn0j01/65VJfSYtg8XVaB62PtZmVa9JDaNXfSKPf9IEIBsRZ6qHmDNkOkuXf+/prvQ2vpr5Z2hW98ro1i5Du4eTqUlXjbGp/EJ5SaGzLn82XlfsZ9ENdemnL3uN37fUUNBoNrAgIla+fqf8pvt2kqTL8bPnvQc4J59RD/cOCUgm63iTx95YhOWSnsX1H/o28VGfyUOKUzfy51Xla54MDV4xRKO9EtYeDPIfMrmbRXl3WTZaLf/irP2+Ypuo4XJ3XD1Jq9fte3cO44dL/Ns3bVFgEBEoXbNb9mao1aw76lkupcXydOqYPldq8brTAOrpUouy9EVe10uxXOHZOFE4PBn9i3FN4cCFtmwNDfwD2zZUHYYDD4Hs3S4b55MPSZixH1vYu9bVWt4B8OHNhqhBRs/PjSx49shOIz9VvApDKBQRebBn90i/V83txtsqIf1bz2bPMkAx6T9glznq7ehP/UYdg5VxybwODas89dIppJS4GNH9cscrHxI0kPrs8qhZVJHynS+AfXVf+1J/dKVLW+1b9VJL6jRBndGRC2fi4pifV58aEybUfIeW/40NuWGAyeobQYvnsW3hsrC233zoWhv5bx12Aw+C6BwTD0abjvWwgKlfYDc38LJYXetsyj+I8D16SVrI5v/PBStbR9tvq3+jwprIqmreEnUyRV692RkLfT9Wtyt8kEs75GLyoTHA4jn4Ujm6sXpdrwgTR67FmPer85ovttUpdY3cjFuROwYw50GV+/ndTKpA2THng1SaO0/1ZT6vFvVSm5zuxdXDNVxvJyceDShkN4E8/bV1sEBotS7s45fp2SYmgg5O2UcfWHV6DHHfDQD1JPYzAY/IekXpJSedn9sPw1eHuo9CH2E/zHgQOZLJ/cB/uXX3wseynEpPlOVKoibYZKYWZpIUwcDQdWO95Wa5sCpQ/Uv1Wk843Qqh/Mf85aW4Hyclg3RUQu6rOsvp30URJFq24a5ZYZUF7iG+qTFQlvCkl9aujA/SBRnrj2nrfLk6QOlkjh8V3Vf23Oajh10LfSJ+30exjun+9bjqfBUBGtYfW78NZgUYEdPwXGvQahkd62zGAw1AYhETD2Zbh9hmQH/W+YtAipSZlHPcO/HLgO10BI5MXJcnkZZC+v3+0DXNGyu+TzhjWWMPBOBxPjUweh6JTvOXBKwei/wtk8WPmW6+33fi8Db6+7a9syzxAYLGImO+ZUT15/40fSeL5F19qzrbZIHykqbqePVu912Usl1bm+R5Av1MEtqv5rt34uqqLtr/SsTXVB0xTf/D4aDABn8qQkYdYvIKW/NAfueK23rTIYDHVB+gj42QoZe7/7k6RO11QFvZ7gX8neIRHQ6TpReLvy79JTqqigfqdkWSGmjeTyTr1JBqDx70OHqy/d5oKASae6t89dknpJrdiy/0CfB8RZdcTayRLlybja8Tb1je63Sfh+83To95Dr7XO3i9DFqOdr37baIH0ULPizpI32uN3aa05mi7DHgP+rXds8QUwbqd3cu1hSM6xSXi5tJdqOgLDo2rPPYPAW5eVw5qgsKBbk2G4PigBOYAgEhUlNSnC43AaFXfoXHHZxm6AK21R+PDC4egs9O+fCl49If9Uxf4M+D4roksFgaDg0ipH586aPpVXXG5fDmBcljbq+LxxXgX85cCBqlOs/gMyZEi4F3xIwcURkHNw9EyZdBXOekUlyUMjF53O3yW18hnfsc5ehz8DbQyQKN+RXVW9z9hhsnyVOXnBY3drnDgmdpCfchg+sOXBr35MeYV19LH3STvMuENlc0iitOnD2Xo2+EC2318HtnCMTVqsTwQMr4fRh6HxD7dpnMNQGWsP5k+KYXXDOKjhpBTmSWlxeeunrghuJoFNZqZQDlBZCyXmgBjWkF1DWHb6SQsiaKxkNd34FCT6g0mwwGGoHpaQ0JeVy+OJh+OpR6e16zb9lnu1D+J8Dl9xfBEA2TIXQKGmo3KSVt63yDKFRMPwPEonb+NGlPdByMyGqpW/0laqKlt2h/VhY9pqsjlZVZ7NmktSF9azHvd8c0eMO+OZJKaB1loZWcl6EeDpe63MXkwsoJWmU274SpbeKCw2O2PeDfHfjfCQF2C6YlLtVHFYrbP1MJpXtRteubQZDTSg6LY7YqRzb7cFKztpBKD1/6WsCgqUlTOMk6WHaOFH+j06S/6MT5XddeXVba3H0Ss5DadFFx660UO5X9Xh1tz13Qh4vKxLF4yt+51sLfwaDofZo0koWdFb8F+Y/K82/r/2PT5U3+J8DFxAgUbjvX5B6uA7XeNsiz9J2BCT2giUvXSqjf3Sr79W/VWbo0/DWIFjxBlzxzKXP7Zovn2n7sb4ZZex8I8z9jciwO3Pgtn4OhQXQ6566s6026HAtrJ8CO76RtGZX7PtBVsR8Ja3pQh3cYmsOXHkZbPtSHNvQqNq1zWCoTGlRBYesspNme7yooNKLlIh/RSdKFkG7MfJ/48SLDlpEfM1+s0rJ2OVLCrsGg8G/CAiAAY+KevZnD0qJUs+7RJfBB4SN/M+BAwmPfv9XKD7tGylZ1UEpGPI0fHizROF63imTw7wdFyeVvkqLruJwr/ivpBrao4lHt8End4mDev2b3rWxpjSKkb5fmz+Bkc85jkqtmQSx6b7X9qIybYdD42RY865rB64gR4Rp+j1cN7Z5gsaJENsW9iyC/o+43n7Xd1Ib5Ivqkwbf5/U+Py7YD4+R73HTFCkzqOiYNU6CqBbGwTIYDP5PQkd4YD4s/Css/bcIlF3/NiT39bZlTvFPB65pisjM71siq/r+RvpIaNkDFv8Dut0qAhBlRbJK6usMeRoyv4blr8Ow34mS4YfjRaDmto99W/yh++0iYrFzTtXqZ0e2QM4qWf3xwYLaSwgIlBTfBX+GY1nQLN3xthf6v/nYbzV1MGz6RJq0O5voai0DQ5NkyPCzjACDbzD4V4C+mN4Y3RJCGnnbKoPBYKgfBIVKX+J2o+Hzn8KkMTDw5zIntVIG4gV8JF+pBlzxG+j7sNTD+RtKiehH/n7YOK2CgImPp1ACNO8MHcfBijclMvPRT+Dccbhtmkw+fJm0YZKCtOB5KDrz4+fXThKJ+W631r1ttUHPO6VGZs0k59vtWyLKo762AJE6GIrPwKENzrfbPkvaKgz5db0dCAx+To/bpQ63zVBo1tY4bwaDwVAVKQPgoaVSorTkZXhnuCiD10P814FLGQBXvuj7kQxHpI+6GIU7sglQ0KyeN0C2ypCnZWL81mCZHN/4rpzRik1eAAAgAElEQVSrrxMYBNe9Acez4KvHJDJjp+gMbPxYUuwaxXjPRk8SGS8psRum2lTnHJC91Fb/Flh3tnmC1oPk1lk/uPJyib7FpPmuqqjBYDAYDA2FsGgY9zr8ZKrUCb81WLQZysu9bdkl1NiBU0q1UkotVEplKqW2KqUetz0eo5T6VimVZbv1UVnEeo5SsqKfnw0r34aYVP9ZVU3oKI7MueMw5gXIuMrbFnmONkNg+B9FkXDFGxcf3zJDajZ73+s922qD3vdCYT5s+azq508dhhN7fC99EkQaPaGzCJk4YtsXolQ59Glx4A0Gg8FgMNR/Olwtzb/TroA5T8OU60T0qZ7gTgSuFPil1roD0A94RCnVEXgamK+1Tgfm2+4baoN2Y6BFN1EPi/ez3jZXvwK3TYe+Fvqm+RqXPy6NyOf9DrKXyWNrJ8ln2KqPd23zNK0HSmR4zcSqn/el/m9VkTpE+ruVFP74ufIyUU6NyxAVUoPBYDAYDL5DZDzcOk36xOWskXYDmz/1tlWAGw6c1vqw1nqd7f/TQCaQCIwDJts2mwxY0BA31Ai7IiX4R/1bRcKbQrtR/pkCq5SkUsakwvS7YcccOLReolX+dr5KyXkdXAOHN176XFmpRB5Do6G5k9YK9ZnUwdJ3KmfVj5/bPB2O7ZR6VV9LDzUYDAaDwSDzmF53w0NLZEF6xn3w6b3Sa9KLeKQGTinVGugBrAQStNaHQZw8IN4TxzA4oP2VcOU/5Mtl8B3CouEnH0jz3Gm3QXAj6Dre21bVDt1ugaBwWP3uxcfOn5SG9Du+gX4/810HJ2UABATBN09J43J7jnxZCXz/IiR0kZ54BoPBYDAYfJfYNLhnNgz7vfR1feNy2L3Aa+a47cAppSKBGcATWutT1Xjdg0qpNUqpNXl5ee6a0XBRCvo+6PsKjQ2R+A5w7X9Al0HnG0SJ0R8JbwJdbpS0g8ICUXT63zBp3n3tf37ctN2XCIuGmyeLw/bJBHhzoDRj3zAVTu4VNVxfaU5uMBgMBoPBMYFBMPhJuH8+hEbBlOvhm19B8bk6N0Xpikp41X2xUsHATGCu1voV22M7gKFa68NKqRbA91prp/KIvXv31mvWrKmxHQaDT7NvqTQxD43ytiW1x8F18L8roPNNsHMuBIdLBLKeN8q0TFmpCNMs+ruojAK07AkPLPC/tFgPoJRaq7Xu7W07fAUzRhoMBkM9o+Q8fPcsrHwDmrWDG972iGK61fHRHRVKBbwLZNqdNxtfAXfZ/r8L+LKmxzAYGgStL/dv5w0gsSe06A5bPpU0hAcX+o/zBrIq13U8PLJS2l6kDoYxftzGxGAwGAyGhkxwuLQrm/CFtIJ6Z4T0MK4j3NG1vhyYAGxWStk72f4GeBH4RCl1H7AfuNk9Ew0Gg19w5d8ha56kHwSHe9ua2iEgELrcJH8Gg8FgMBj8m7Qr4GfLYNaT0DSlzg5bYwdOa/0D4Gh5eXhN92swGPyU5L7+FXUzGAwGg8FgCG8KN73rejsPYqrrDQaDwWAwGAwGg8FHMA6cwWAwGAwGg8FgMPgIxoEzGAwGg8FgMBgMBh/BOHAGg8FgMBgMBoPB4CO41QfOY0YolQdku7mbZsAxD5jjTcw51A98/Rx83X4w51AfqE37U7TWcbW0b7/DjJFuY869YdJQz72hnjf4x7lbGh/rhQPnCZRSa3y9Maw5h/qBr5+Dr9sP5hzqA75uv+FSGvLnac7dnHtDoqGeNzSsczcplAaDwWAwGAwGg8HgIxgHzmAwGAwGg8FgMBh8BH9y4N72tgEewJxD/cDXz8HX7QdzDvUBX7ffcCkN+fM0594waajn3lDPGxrQuftNDZzBYDAYDAaDwWAw+Dv+FIEzGAwGg8FgMBgMBr/GLxw4pdQYpdQOpdQupdTT3rbHCkqpiUqpXKXUlgqPxSilvlVKZdlum3rTRmcopVoppRYqpTKVUluVUo/bHvelcwhTSq1SSm20ncOztsdTlVIrbefwsVIqxNu2OkMpFaiUWq+Ummm772v271NKbVZKbVBKrbE95jPfIwClVBOl1KdKqe2230R/XzoHpVR72/tv/zullHrCl87BUDW+OD56AkdjVEOi8tjQUKjqeuxtm+oKpdTPbd/3LUqpj5RSYd62qbbw9Xm0u/i8A6eUCgReB64EOgK3KqU6etcqS7wHjKn02NPAfK11OjDfdr++Ugr8UmvdAegHPGJ73z16DrYB6IxSKtlti39METBMa90N6A6MUUr1A/4G/NN2DieB+9w5iFLqUdtF5oxSqrHbVv+Yx4HMCvfdtl8plaOUGuoZ8yxxhda6ewX5X1/6LQD8G5ijtc4AuiGfh8+cg9Z6h+397w70As4Bn+ND52D4MT48PnoCR2NUQ6Ly2FBvsC0Q2cfFCA/vvqrrsdsopY4opQZ6Yl+1gVIqEfg/oLfWujMQCNziXatqlffw7Xm0W/i8Awf0AXZprfdorYuBacA4L9vkEq31YuBEpYfHAZNt/08GrqtTo6qB1vqw1nqd7f/TyAUyEXgS+L1S6gzwV+Ap2wX6jFLq9hocp0xrHam13l/d1yql2iqldIXjH1FKfa2UGm7bt9Zan7FtHmz708Aw4FPb4yeAv1T32BVsCANeQhyUSK11QU335WD/ScBY4B3bfcWl9tfr75ETfOa3oJSKBgYD7wJorYu11vn40DlUYjiwW2udje+eg0HwyfHREzgZo+oFFcalM0qpcqXUeXfGygr7XaGUuqPy2FDh+YwqxsWvlFJXVOMYDymlvnPDxghkoXGQbVw8W9N9VbFvR9fjhkIQEK6UCgIaAYe8bE+t4evzaHfxBwcuEThQ4X4O9egiXU0StNaHQQYfIN7L9lhCKdUa6AGsBE5prSO01pHAfuCs7QIdqbWeWsVrg2rbPvvxbTYuAL5SSt1hO36gUmoDkAt8C+wG8rXWpbaXnwRC3Th8cyBUa721ui9USgUopVz9Rv8F/Aoot92P5VL7feH3oIF5Sqm1SqkHbY/50m+hDZAHTLKlK71jm6D40jlU5BbgI9v/vnoOBsGfxscaU2mMqhdUGBftY+U1zsbKGlB5bKhIWaVxcTEwUylVV9GaFkCg1npHdV9oYVx0dD32e7TWB5EF4/3AYaBAaz3Pu1bVOQ1mzPIHB05V8ZiR1qwjlFKRwAzgCa31KQvbP6+kLusjpdRp4A4l9UIrlFL5SqnDSqlXlVLBtu2DbKuFrW33P7A9P1spdVoptVwplWrFVtuK7D+BPwN/V0oprXUZEq06BvwSWI2sWqGU6mLbtpFtpfKY7fFrldQJnVZK7VdK/d7BuXYAttr+P6OUmmf7f6BSao1SqkBJDV7fCq/5QSn1Z6XUcuAskFxpnw8opT63/X81MMpmt52tQIjt+deAVUAHpdRqpdSACvv5QCn1pwr3Ryil9jk4j05K6tRutt1PUkp9rpTKU0rtVUo9UmHbRrZ95yultimlnq64X6XU75RSe2zv3Val1LXA5VrrnsAHwCtKqU+AxrbtRlVlUz0jCOgJvKG17oF8bj6ZtqGkXvJaYLq3bTF4hAY/PlZ3jKov2BYXf2+7Dh5TSk1VSjWxPRehlJqmlDphu9auVEo1VUq9DFwGTEQiEbe5Oo5tXHwJeAH4R4Xj/8F2fT+tpJ5qrO3xHohzONQewbM9fr2SevJTSqlspdRvHJxXF2AjYC+PmG17fIhSap1tXFyhlLqswmtWKKWeU0qtRNK7W1ba58NKKfs1K8j2HsRXuB7nKqUybNu+oaRE4JRt/O1XYT/TlFK/q3B/jFJql6PzsI2LN9jut1JKfWn7rPYopR6qsG2kUupD22e1RSn1TMX9Onqvbc89pJSar2Tek6+U2q2UGuHApqbI555qe48ilG2x2uB/+IMDlwO0qnA/Cd8NGR9VSrUAsN3metkepyhxsmYAU7XWn9kevnAOSP51VakL1wMfAo2Bj5FahceBZsDlSE7zT50c+jbg90AMstL052qa/hmyAtjWdn8n0B94HlgGtFBKtdRabwZeAU7aViub2bY/A9xhs/8a4HGbM3UJWutMJP/evto6SinVDJgFvIxEy14FvlGXFtpOAO4FopHvd0UWAYOVUgp5nxoB45HUqOE2mxopiWyuBO5C8sA/BaYrpaoVTbQNonOAh7XW05XU1MxEHN1EYCSSJjvc9pLnkIGjNTDa9j5VZCfyGTdGUlM/BMpsz50GwpEJ5k4kBeZdH/gt5AA5Wmv76v6niEPnU79nG1cC67TWR233ffEcDBfxp/Gx2jgYo3yFp5AFuoHI51YC/NP23P2Io5KIjJuPAsVaa/si5BzgKHAjMjYMU0p94OJ4nwFJ6uKC6A5gAHKt/hswTSnVTGu9HngC+N42rjW3bX8KGZubIGP8k0qpyvVJ2MbVXlyMAl6plIoHvgZeRMbFN5FxsWLN+B3AnUAUcKTSbhcBQ2z/ByBzCnu942ogSGu93XZ/OdDFdpwvkXEx2MV7cwlKFl2/AR7UWn9mGxe/QeYPLZGx+TdKKbtNzwNxQAqS1jqh0i6rfK8rPD8YWGOz+TUqpcVWYASwV2udp7UuQT7TAQ629VcazJjlDw7caiBdifJeCJL+85WXbaopXyETbmy3X3rRFqfYHIh3gUyt9SsVnqp4DpHIBa0yP2itv9Zal2utz2utV2utV2qtS7XWe5BGjEOqeJ2dT7XWa2wXqKmIAEl1sE9g2iilmmitP0EczeFI6tgpxKEEufgdq/hirfUCrfUWm/0bkQHSmb0VuQbYqrX+yHa+HwB7kIu6nYla60ytdUmFVEj7sXci4itdgBXIe7UJicLtRAaRhcBNWuspwA3AF8DfEYewLdYZighZ3K61nm17rB8QrbX+q622YBfyPbCn3owH/qK1ztdaH0AGm4r2f2Jb8S3XWn8IZAODbE+H2M5tEvI9CkImLg9Tj38LWusjwAGlVHvbQ8OBbfjQ77kCt3IxfRJ88xwMF/Gn8bFaOBmjfIWfAk9rrQ9prQuBZ4Gf2M6rBHEI0mzjyOpKdWSfaK2TtNatkc98gdbaVSTGPi7GAGitP65wrZ4CHEQcryrRWs/XWm+1bb8O+ATr4+I4YINtfCjVWr+HLD5cWWGbd7SILVU1Lm4DUCJS0xGZtBcpydy5BdhbYdv3tdYnbfOHvyJOURuLdoJc32cAt1RITxwIhGmt/2YbF3ci41jFcfF5rXWBltri/1ay39V7vcNmdxlS15Vij8ZWYj/QT0kmjLLZWi9FbGqRBjNm1Xr9UW2jtS5VSj0KzEUiPhNrUm9U1yilPkImyM2UUjnAH5HVp0+UUvchP8SbvWehSy5HVpE2K6khA/gNl55DGOLcVKZiTQa21IaXkQtWI+R76axWoeLq2znEUawO9hqQYGChbaXLvtr1ARAB3KyUuhFx7A5Xsrc/km7SCXE6Qrl00uuMlojTUpFsLq1LOYBzFiPfnc5IdK0QifTFIqkzXyMreK/Z7LsVGagiuHieVngYUXNaXOGxFCBZKVUxshoIfG/7v0Ul+yt/1ncDP7ftB+Sze0VJGmoz4IjW+v/ZO+/wqKr0j3/upPfeeyAJEGpC79JRBHvvXXf1Z1l1V93V7buuu2tZF8Qu6gqKiCKigPQSIAkk1JBeSe89M/f3x5lAgJRJMsnMwPk8T54kM3funMlk7jnveb/v992kKMpBzsn45iICX3PmceAz/SI5E7gXsUFmKZ9nFEVxRGRUO2a/LemaJLkAS50fjUSnc5SqqhtNOCaD0C++QxBZqI6SVw3iOv8+or76K0VIRD8Bfqtf4PeV9jmoQj+G+xEbme0yfme6mT8URZmGmGdGcG5eXGXgcxtzXhyPUM48B+xCyIhf7zDO3wD3IP5+KmKd4o3IghnCY8CPqqru6XBbGBDeyby4Rf9e+tH9vNjT3/rCNU/7MecpnFRVTVAU5SsgCZGFTEZs8l6SXALr6H5h8QEcgP6CbPYX5Y6oqnprF3fN7eJ2s0JV1d10Xl8B+tegiNqn2s4efsHv7yCySTerqlqnKMqvgIskiUbkWsQF8XtEpuQYYswJqqpqFdFT5DVVVT/SXwQulDt8gSgUXqSqapM+UDI0iCzk/GwbiIv2Nx1+76lGZQdioT0cccFqQkhlVGCHqqqZiqI8jwgqZ+lfI0A1596zevS1fnr8uZiHgJcURfmHqqrP6m/LA06rwpq7M84gsmZp+t/PyrcURYkEltP13/oB9JJLVVXLFVH/1orIAF7oNGVWqKp6GLFwuBCL+DwDqKragFgcdrytHAt6DZKLscT50Rj0MEeZNaqqqoqiFADXqaqa2MVhvwN+p7+u/oiYxz7jgvlDVdXtnNtg645rEVLwLEVRooG3EI7GB1RV1SmKcpJzf8/O5qg1CFn8B/p5cQWGrzELufg6E4rIRJ19KT2cYwdiMT8OeB7IRsy1ixCSUhRFmY/YbJuHyEwpiDVKb+bF+4E/KIryV1VVf6O/LQ84qarqqM4GpihKCWJezNTf1HFe7Olv3StUVX0ZsS645LH0dXR/uRQklBLLxwURXNQrwviju/q3PqMoip+iKE8ALwHPq6qqIgIvFeFapeiDiGEdHlaMqAvoqJF3ASr0k9RketdnZQMQqyjKzYowaLkNIWvszQJrB2ICUlThsrQTYTzhjJBTto+xDSH/tAFeQWTg2jkMXKWIwvcARO+YC6lG1GDMUxTlT/rb9gEtiqI8o4hG6FaKKOZul3usQWj/3RVhY/2LDufr6W8tkUgkEsEK4G+KooQAKIriqyjK1fqf5ymKMkIRbow1iGt9e/atmF5IAhVF8VcU5SngN5wzX3JGuFeWAhpFGHJ0lN8XAyHKObMxRf+Ycv28OJXeZT6+BcYpinKDfl68CxHAberFOXYggrUWVVVL9b9fj8gGtmedXRCbgqX62/+AyMC1cxhYop+/ghDB3oVUITZQr1IU5ff623bD2d529vrXMFpRlDj9/WuAFxVFcVNET9tHO5yvp7+1RNIpMoCTmAPPILTKtYhs3GpjnlzR97tBBDcLEbuanwCoqpqCMBI5gJBKDuN8+eZm4DSiMLZdxvAo8FdFuGi+gLg4G4R+YlmK2CEsR8gJl/Qmw6TX+zch5CGoqlqJ2G3crapqu2X0RmCLfuzZiEm+oxT0I8QOZA5ikuxM6tp+7vnANYqivKyvPbgS0V8qGxEgvoOorwOx81esv+8nxN+mWX+unv7WEolEIhG8iriG/6yfa/YizJFASAvXI+bMo4jrffs89G/gLkVRKhVFebWLc7c7QNYjHCHnAstUffsCfQ3bCoRxRhHC1fBQh8dvQlzjSxRFyddvhj4CvKYf63P0wslWFaZJS4EXEfPiLxHzYm/6t6UigrOd+nOWITJju/TjA1FesBPRLigTMX+VdjjHB0A6Qnq3gS5KI/TKhHmIUosX9fV0VyJq5nP051zOOWXOS4iWRDnAD5w/L/b0t5ZIOkU5938tkUgkxkVRlMeBa1RVvSwkDRKJRCKRdIc+47lIVdWFph6LxHKRGTiJRGI0FEUJUhRlqiKarQ5HZBjXmXpcEolEIpGYAkX0iJusnxdjEYYlcl6U9ItLwsREIpGYDXbAu4g+cJUICco7phyQRCKRSCQmxA4hzwxDzIuf0nUvN4nEIKSEUiKRSCQSiUQikUgsBCmhlEgkEolEIpFIJBILQQZwEolEIpFIJBKJRGIhmEUNnLe3txoeHm7qYUgkEolkEEhMTCxTVdXH1OOwFOQcKZFIJJcHhs6PZhHAhYeHc+iQbHshkUgklwOKouSYegyWhJwjJRKJ5PLA0PlRSiglEolEIpFIJBKJxEKQAZxEIpFIJBKJRCKRWAgygJNIJBKJRCKRSCQSC8EsauAkEolE0j+e++oIznY2PL84BjtrK1MPRwIoivIU8ACgAqnAvUAA8AXgCSQBd6qq2mKyQUokFkhji5bimibO1DSJ79Xn/1xR34K/mz1DfJwZ4uNMpI8TQ3ycCXJ3QKNRTD18iaTfyABOIpFILJxjhdWsOZQPwOG8SlbcEY+vq72JR3V5oyhKEPAEMEJV1UZFUdYAtwBXAv9WVfULRVFWAPcDy004VInEbNDpVMrrWzoNyjr+XNPUdtFjne2s8XO1w9/NnpHubhRVN7EhpYjqxtazx9jbaIjwdmaIPqCL7PDd0VYuiSWWg/xvlUgklywlNU28+fNpRge7MyvaB79LNKj5PCEXO2sNryyN5Q/fHWfJW7tZfkcc8WGeph7a5Y414KAoSivgCBQBc4Db9Pd/DLyCDOAklwFNrdpug7LimmZKapto1arnPU6jgI+LHf6u9oR7OTE50gs/V3v8Xe3xd7MXP7vZ42x38ZJWVVUq6lvIKK0no7SOjJI6MsvqSS2oZmNqEboOTxXk7nA2oGsP8Ib4OuPrYoeiyKydxLzoVwAn5SESicScWbU/h0/35wK5AAwPcGV2jA9LRgcQG+hm2sEZifrmNtYfLuSq0QHcOjGUcaHuPPRJIres3M/vl47ktkmhph7iZYmqqgWKoryG+OdrBH4CEoEqVVXb0wf5QJCJhiiRDBj7MspZl5zPmZpmivWBWsdMWDtOtlb4uYlgbFKE59mf24Myf1d7vJ1tsbbqm2WDoih4Odvh5WzHxIjzN7SaWrXklDecF9hllNbx5aE86lu0Z49ztrNmiI8TkRcEdmFejlKuLjEZfQ7gpDzk0qaxRcu+zDK2nyplZ1opttYaHpo5hGVjA7Hp44VUYj48+UUyKvCvm8ZidYnWA6iqyoaUIqYO8eKlq0awPa2E7adKWbkzk/d2ZbL92SsIcncw9TD7zbdHCqlrbuN2faA2zN+Vb385jSe+OMwL61JpadNyz7QIE4/y8kNRFA9gGRABVAFfAos7OVTt5DYURXkIeAggNFQG4RLLYV1yPs9+mYKzvTWhno6EejkyMcLzXLbM1R5/Nzv8XO1xsbcx2TjtbayI8Xchxt/lvNtVVaW4plkEdqV1ZOqzdwmZ5axLLjh7nEaBEE/HizJ2Q3yc8XSyHeyXI7nM6K+EUspDLjHSimv544bjJGRV0NKmw8HGiqlDvCiqbuJXXx7h9S1pPDp7CDfEB1+SO0/5lQ14O9thb3PpvbZ20opr+eZwIQABbg78evEwE49oYDhWWENWWT0PzYxkRKArIwJdeWz2UDJL65jzzx18nZjP43OjTD3MfvN5Qi4xfi7EhXqcvc3d0ZYP75nAXR8k8ObP6dw0IUTWdww+84AsVVVLARRF+RqYCrgrimKtz8IFA4WdPVhV1ZXASoDx48d3GuRJJObG+7uz+OOG40yJ9GLlXfEmDdD6iqIoIvvnZs+0od7n3Vff3EZW2Tk5ZkZZPRkldexOL6OlTXf2uFBPR5aOCWTZ2ECi/FwufAqJpN/0eUaX8pBLk9e3pJGcW8Wdk8OYHePDhHBP7G2sUFWVn0+W8NbP6by47ihvbU3n5atHsHhUgKmHbDS2nyrhng8PolEgzMuJaD9nov1cmBThxfQo755PYCF8si8bW2sNV470Z8WODIYHuLBs7KX3Mf0upRBrjcKiWP/zbo/0cWZKpBdfJubziyuGWrQjWUp+FakF1fx+aexFNRpWGoWn50dz/fJ9rNqXw8OzhpholJctucBkRVEcEXPkXOAQsA24AVFqcDew3mQjlEiMhKqqvPrjKZZvz2DxSH/+ffPYS3Ij1MnOmpFBbowMOl+Cr9WpFFY1kq4P7HaklfLf7en8Z1s6wwNcWTY2kKvHBF4Sqg+JedBnLdwF8pBAwIleykMURTmkKMqh0tLSvg5DYmSScqqYM8yX3y4ZwYwon7MXYEVRmDvcj3WPTeXT+yfh62rHL/+XzLZTJSYesXFQVZU3t54myN2BJ+ZGMTzAhfSSOt7els4d7ydwMLvC1EM0CjVNrXydVMDSMYG8esMYJkZ48txXKaTkV5l6aEZFVVW+Tyli2lBvPDqRstw4PpjcigYOWPj7+nlCLvY2Gq4Z13kAHh/myYwob97ZmUl988WubZKBQ1XVBOArRC14KmK+XQk8DzytKEo64AW8b7JBSiRGoE2r4/m1KSzfnsFtk0L5z21xl2Tw1h1WGoUQT0euiPHlgRmRrLp/EvtfmMvLV4/AzlrD3344ybS//cxNK/bx6f4cKuqlNYSkf/SnmOmsPERV1VbgPHmI/phu5SGqqo5XVXW8j49PP4YhMRaFVY2cqWkiLtS9y2MURWF6lDefPziZ4QEuPPZpEofzLH/xvy+znKTcKh6ZFcmT86L57+3xbH1mNodfXoCLvTWf7Msx9RCNwtrEfBpatNw9JRxbaw3Lb4/D29mOh1clUlLbdN6xJbVN/JBa1GnhublzOK+K/MpGlozuPEO8eGQAznbWfKm33rdEapta+fZIIVePDsTNoWuZ0pPzoqmob2HV/kvjf9iSUFX1ZVVVh6mqOlJV1TtVVW1WVTVTVdWJqqoOVVX1RlVVm009TomkrzS1ann0syTWHMrniblR/PmakZdsXXVv8XWx595pEXzzi2nseHY2z8yPpqKhhZe+OcrEP2/h3g8P8E1ygdxck/SJ/gRwZ+UhitDuzAWOc04eAlIeYlEk5lQCEBfm0cORwpXpw3sm4uNix30fHSSztG6ghzegvL0tHR8XO24cH3Le7a72NtwQH8ymo0UXBTiWhk6nsmpfDuNC3RkVLOQfXs52rLwrnqqGVh79NImEzHL+8eNJrnpzFxP/vJVHP0tixY4ME4+892xIKcLWSsOCC+ST7TjYWnH1mAA2phZRZ6GT5zeHC2lo0XL75LBuj4sP82BmtA8rZRZOIpEYkerGVu764ABbThTz+6WxPD0/Wtrtd0GYlxOPz41i81Mz2fjEDO6fEcGpM7U8ufow8X/azOP/S2bL8eLz6ugkku7ocwAn5SGXHkm5ldjbaBge4GrQ8T4udnx830QU4K4PDlBSY5kBTnJuJXvSy3lwRkSnso87J4fRqixUBdEAACAASURBVFVZfSDPBKMzHrvTy8gsq+fuKeHn3R4b6MZrN44hMaeSm1fuZ8WOTJxsrXl2YQyjgtzYdtKyZLI6nZBPzoz27jYzdUN8CI2tWr5P6VQkYNaoqsrnCbmMCHBlTHDP7RD+b26UzMJJJBKjUVLTxM3v7CM5t5I3bhnH3VPDTT0ki0BRFEYEuvKbxcPZ/fwc1jw8hevjgtl1upQHPjnEhD9v4Tdfp7I/sxydTnoXSbqmX7Zkqqq+DLx8wc2ZwMT+nFdiGpJyqxgd5N6rNgER3k58cM8Ebn13P3d/eJDVD0/G1cJcp97eloG7ow23T+o8kxHp48yMKG8+P5DLo7OH9Lkfjan5ZF823s62LB51cVbqqtEBWGni0epUpkedC3w0isLfN53kTHUT/m6W0QQ7MbeSMzVNPbprxoW6M8THiTWH8rl5gmXZtB/Oq+JEUQ1/umakQTveHbNwd04Ow6mThrcSiURiCNll9dz5QQLldS28f/cEZkbLMpi+oNEoTIzwZGKEJy9fHcvu9FLWHy5k/eEC/ncgF39Xe64eE8CysUHEBrrK7KbkPCxzJWoGlNc1c/9HB/nLxhMk5lRY/E5JU6uW44XVBsknL2RMiDvL74jn1Jka3t2ZOQCjGzhOnqlhy4li7p0a0e2i9s7JYRRVN7HlRPEgjs545FU0sPVkCbdODO2y/cOikf5cNTrgvKzV7BgxMe9Is5ws3IYjhdhZa5g3wq/b4xRF4cbxISTmVJJhYRLgzxNycbS1YtnYQIMf8+Q8mYWTSCT942hBNTes2EtdUxufPzhZBm9GwtZaw5xhfrxxyzgOvTSPN28dx8ggVz7ck82St3Yz9187eGPLabLK6k09VImZIAO4PqCqKi99c5QdaaV8uCeL65fvY+JftvKbr1PZm15m6uH1iaMF1bRq1W4NTLpjVrQPYV5OZJZa1sXl7W0ZONlacU8P8o85w3wJdLO3WDOTT/fnoFEUbpvUu0zTMH8X/F3t2X7KMpxitTqVjUfPcEWML84GZJmuGxeElUbhq0TLMTOpa25jQ0oRV48O7FWPpbhQD2bJWjiJRNJH9mWUc8vK/dhZW/HlI1MZG9K39YKkexxtrVk6JpD37p7AwRfn8ZdrR+HjbMfrW9O44rXtLPvPbt7fnWWxZSsS4yADuD7w7ZFCfjh6hmcWxJD42/m8cctYJkV68u3hAm57L4H9meWmHmKvSco13MCkK4LcHcivajTWkAacrLJ6vk8p5I4pYbg5dr8QtrbScPvkMPZmlJNeUjtIIzQOjS1avjiYx8JYPwLceteDRlEUZkX7sPt0Ga1a8y+uTsgqp7S2mSVjDOtP6Otqz+xoH9Ym5tNmAa8PYGNKEY2tWm6aENzrxz6hr4X77ojl1f1JJBLTseloEXd/cIAAN3u+enQKQ32dTT2kywIPJ1tumxTK6oensPfXc3jxyuFoVZU/bjjO5L9u5fb39rPmYJ5FukVL+ocM4HpJSU0Tv1t/jLEh7jw4IwJXexuWjQ3i7dviSHhxHo62VnyTXGDqYfaapJwqQj0d8Xa26/M5gtwdKKi0nABu+fZ0bKw0PDA90qDjb54Qgq2Vhk/35w7wyIzLd0cKhVvYBeYlhjI7xofa5jaSc82/XcSGlCIcba2YM8zX4MfcOD6Ektpmdp22jOz5mkN5RPo4ERfa+82WuFB3vJ3tSMiy7P53Eolk8Pg8IZfHPktiZJArXz4ypdcbgRLjEODmwIMzI9nw+Ay2PD2LX86JoqCykefWpjDhT1t4eNUhNqYW0dSqNfVQJYOADOB6gaqqvLAulaZWLf+8acxFZhbOdtbMH+HHpmNnLCJb0Y6qqiTmVvZZPtlOkIcDZXXNFnHxSM2vZl1yAbdMCMHHxbCg1dvZjitH+bM2Md9iJGg6ncp7uzMZ5u/CpAjPPp1jWpQ31hqF7WbetL1Nq2PT0TPMHe6Ho63hJh1zhvni6WTLmkPm7zKaWVrHoZxKbowP6VNBu6IoTIrwJCGzHFW17LpdiUQysKiqyltbT/PCulRmRfvw2QOTcXe0NfWwJMBQX2eenh/Ntl/NZv0vpnHH5DCScqt47LMkJvx5Cx/tyUJr4d4Mku6RAVwv+DqpgC0nSnh2YQxDfDqXDywZHUhVQyu7LagWLr+ykdLa5n7JJ0Fk4ACKqs1bl11c08QDnxzE18WeJ+ZG9eqxd04Jp7a5jXUWkmXddqqEtOI6HpoZ2WcHK1d7G+LCPMy+Dm7Fjgwq6ltYNsZwYw8QxePXjA1iy4liqhpaBmh0xuHLxHysNArXxwX1+RwTIzwprG4i34Ky5RKJZHDR6VR+/91x/rk5jWvHBbHyrvE42HZugCUxHYqiMCbEnd9dPYL9v5nLZw9MYmyIO698d5zrlu/lRFGNqYcoGSBkAGcgRdWNvPLdMSaEe3DvtIguj5sZ7Y2LvTUbjhQN4uj6x9n6tz5IsjoS5CECOHOWUTa2aHnwk0PUNbXx3t3j8eqlZDQu1J0RAa6s2pdjERmMFTsyCHJ34OpeBjUXMjvGh+NFNWZbNL3tZAn/3JzGNWMDmTvccPlkO9fFBdGqVfk+1Xw/t21aHV8n5TMr2gdf1763dJgUKTKxB6SMUiKRdEJLm44nVx/mo73ZPDA9gn/eOKZX7YUkpsFKozBtqDef3DeRN24ZS35FA1e/tZu/bzppEcooSe+Qn0gDUFWV33ydSptW5R83jMFK03Umw87aigUj/Pnp+Bma2yzjA5OcW4WDjRXD/F36dZ72DFxBVYMxhmV0VFXlV18dIbWgmjduGWdww/KOKIrCrZNCOVVcS1qxeVvPH8yu4GB2JQ/OiOj35Ds7WgRF29PMLwuXXVbPE18kM9zflb9eN7pPmcbYQFeifJ1Zl2S+mdVdp8sormnmpvG9Ny/pSLSvC24ONiRkWZ7ZkkQiGVjqm9u4/+ODfHukkF8vHsaLVw1H082aR2J+KIrCsrFBbH1mFtfFBbF8ewYLX9/Jbgup85YYhgzgDOB4UQ3bT5Xy5Lwowr2dejx+yZgAapva2JlmGR+WpNxKxoS49btBtb+bPRrFfDNwb2w9zfcpRfx60bAee4R1x8IRfigKbDp6xoijMz4rtmfg4WjDTRNC+n2u4QEu+LnascPMZJT1zW08tOoQVhqFd+6M77PER1EUro0L4lBOJbnl5rkB8WViHp5OtswZ1vf/XRDNYyeEe8oMnEQiOY+K+hZuey+BPellvHr9aB6ZNUQ2j7Zg3B1tefWGMXz+4CQ0isId7yfw9OrDlNc1m3poEiMgAzgDWJtYgK2VhpsNXAhPH+qNu6MNG1LM36pbNPCu6bd8EsDGSoOfq71ZthL47kghr285zfVxwTw00zDXya7wdbUnPtSDH4+ZbwB36kwtW0+WcM/UiF4ZenRFezuBXadLzcZuX1VVnv3qCOkldfzn1jhCPB37db5lY0Vd2TeHzS8LV1HfwubjxVwzNghb6/5ftidHepJd3kCxmUpiJRLJ4FJQ1cgNK/ZysqiGFXfEG2XjT2IeTB3izQ//N4Mn5gzlu5RC5v1rB2sT8y2iDETSNTKA64FWrY5vjxQwd7ivwe5LNlYaFsX6s+V4sdnrjlPyq2nTqUYJ4MA8Wwm0tOn4zdepxId58JfrRhplR3FhrD/Hi2rMNlvzzo4MHGysuGtKmNHOOTvGl5qmNpLzzKOdwIodmWxMPcPzi4YxPcq73+cLcndgcqQn65ILzG5iW3+4gFatyo39lE+2M1HvSCrbCUgkktPFtdywfC+ltc18ct9EFsT6m3pIEiNjb2PF0wti+P6JGUT6OPPMl0e44/0EssvqTT00SR+RAVwP7EwrpayuhevierdwWjI6kPoWLdtOmrf1eruBybh+thBoJ8jDgQIzy8ClFddS19zGPVPDsbM2jovWQv0EZ45ZuPzKBtYfKeTWiaF4OBnP8nnaUG+szKSdQFldM6/9dIqrRgX0O6PakWvHBZFVVs+R/GqjndMYrDmUz6ggtz7VbXbGiABXnO2sOSDr4CSSy5rEnEpuWLGPNp3KmoenMCnSy9RDkgwg0X4ufPnwFP50zUhS8qpZ+PpO3t6WblGtryQCGcD1wNdJBXg62TI7xqdXj5sc6Ym3sy0bUszX1Q4gKaeScC/HXrsxdkWQuwNnqpvMqv9IaoFYjI8KcjPaOUO9HBke4GqWAdx7u7JQgAdmdO2W2hfcHGyIDzWPdgLJuVVodSr3TAs3ao3G4lEB2FprWJeUb7Rz9pejBdWcKKrpt3lJR6ytNMSHecg6OInkMmbbqRJuf28/Ho42fP3oVKNtEEnMG41G4Y7JYWx5ZhZzhvnyjx9PcfVbu89u6EssAxnAdUN1QyubjxezdExgr138rK00LB4ZwNaTxWbb9FlVVZJyK40mnwQIdHegTadSUms+tTWpBdW42FsT5tW/GqkLWRTrT2JupVm91or6Fr44mMuysUEE6l1BjcmsGB+OFdaY/DUfzqvEWqMwMtB4QTmInnfzh/vxXUqR2exIrj6Yh621hqVj+t77rTMmRniSVlxHRb15976TSCTGZ11yPg9+fIghPs58+cjUftcQSywPP1d7lt8Rz8o746lqaOX65Xt5ef1RaptaTT00iQHIAK4bNqQW0qLVcUN833a+l4wOoKlVx1YzlVHmVTRSVtfCuH428O6IOfaCS82vZlSQm9HdtBaN9EdVYfPxYqOetz98npBDU6uOR2YZT1bYkfZMtKntiJNzqxgW4DIgjWWvHRdERX0LO82gZUJ1Yytrk/JZMjoAN0cbo557UoTsByeRXI68vzuLp1YfYUK4J188NBkfF+MocCSWyYJYfzY/PZO7p4Tzyf4c5v9rp1mqiyTnIwO4blibmE+0nzOxgX2TFUwI98TP1Y4NR8zTjfJAtli4xRmp/g0g+GwvOPMI4JrbtJw8U8OoYONmagCi/ZwJ93I0q3YCm46dIT7Mgyi//vX064rh/q642ltzMNt0i36tTuVIXhXjQoy38dCRWTE+eDjasC7Z9G6Uaw7m0dCi5b5pxpXDAowKdsPOWiMDOInkMkFVVf6+6SR/3HCcxSP9+fDeCbjYG3djSGKZuNjb8MrSWL5+dCrujjY8vCqRh1cd4ky1+SiMJOcjA7guyCqrJym3iuvjgvucudFoFK4cFcD2U6VsTDWvWrjmNi1vb0sn0tuJYf7G0723Z+DyzSQDl3amjlatatT6t3YURWHhSH/2ZZRT3Wh6yUFhVSNHC2qYN7x/fcK6Q6NRGG/iHmLpJXXUt2iNZrxzITZWGq4eE8jm48XUmFBK0qbV8dHebCZFeDJyAP5/7aytiAv1kA29JZLLgDatjufXprB8ewa3TQrlP7fFYW9jfAWDxLIZF+rBd49P5/lFw9h+qpR5/9rBqn3Z6MzI10AikAFcF3ydlI9GgWvG9a/u5KGZkcT4u/DYZ0k89lkipbXm0UDx/d1ZZJXV8/LSWKw0xpMWOtpa4+FoYzYZuHYDk9FBA7PYXxjrT5tO5eeTppdRbjkhxjC/H03KDWFCuCcZpfUmawaafNY5dWAycCBklM1tOpNmVzcfL6agqpH7phs/+9bOxAhPjhfVmDRQlUgkA0tTq5ZHP0tizaF8npgzlD9fM9Ko877k0sLGSsOjs4fw01MzGRvizm/XH+OGFXs5dabW1EOTdEAGcJ2g06l8nVTA9Cgf/Fzt+3WuADcH1j02lecWxbDlRAnz/72DdcmmbaBYVN3IW1vTWTDCj1nRvXPXNIQgDwcKzSaAq8LNwYYQT+MbegCMDXbHz9XOLGSUm48XE+ntxFBf5wF9nokRInA6mG0ax6rk3CrcHW0IN7IpTUfGhrgT4e3Et4dNJ39+f3cWIZ4OA5pRnRThiapCooneS4lEMrBUN7Zy1wcH2HKimN8vjeXpBTFGrweXXJqEeTmx6v6J/OumMWSXN3DVm7v4x48nzb6/8eVCvwI4RVHcFUX5SlGUk4qinFAUZYqiKJ6KomxWFOW0/vvAbZMPEAeyKyioauT6OOO4vllbaXhs9lA2PjGdSG8nnlp9hKdWHzbKufvCn78/gU5V+e2SEQNy/kA382nmnVowMAYm7Wg0Cgtj/dmRVkpji+kuajVNrezPLB/w7BvAqCB37Kw1JquDS86rZGyI+4AuQhRFYVa0D4k5lSZxozySV8WhnErumRoxoDvl40I9sLFSZENvieQSpKSmiZvf2UdybiVv3DKOu6eGm3pIg4cJN8kvJRRF4bq4YLY8PYtlY4N4e1sGi17fyd500xqZScC6n49/A9ikquoNiqLYAo7AC8BWVVX/pijKr4FfA8/383kGlbWJ+TjbWbNghL9RzzvU14UvH5nKK98eY9X+HF64aji+Lv3L8PWWvRllbEgp4sl5UQNmGxzk4cDu9DJUVTXpTl9Tq5ZTZ2p5YEYfHRnLM2D/fyHvANy2BlwDOj1sYaw/n+zLYUdaKYtGGvd/xlB2nCqlVasybxACOFtrDWND3E0SwNU2tXK6pI6rRgUO+HPFhXnw0d5sThbVDogJTnd8uCcLZztro/Z+6wwHWytGB7vLOrgBQlEUd+A9YCSgAvcBp4DVQDiQDdykqqpMgUqMQk1TKwmZFexJL2NjahF1zW28f/cEZg6A2sZsUFWozoe8BDFf5x+AM6lg7QBOXuDoBY7e4nvH3530t7V/2buBzE52iqeTLf+8aQzXxQXxwrpUbnsvgRvig3nxyuF4ONmaeniXJX0O4BRFcQVmAvcAqKraArQoirIMmK0/7GNgOxYUwDW0tLExtYirRgcMiEW5lUbhmnFBrNqfQ1JO1aAu+Fu1Ol5ef4wQTwcemTVkwJ4nyN2BhhYtVQ2tJv1gnzpT2zcDk/xDsOcNOPEdWNmIyWHLK3DdO50ePjHCE3dHG346dsZkAdzm48V4Odkatadfd0yM8OS/2zOob27Dya6/+0CGk5JfjarCWEMNTErT4NtfQtsF9XpuwXDjx2DV9djj9e01knIrBzWAK65pYkNKEXdNCe+dQ1ziR+DsDzGLevV8EyM8eXdnJg0tbTjaDt57eZlwSW5ySsyHljYdybmV7EkvY3d6GUfyq9HqVBxsrJgY4ckzC6IZHTwwNeAmo60FzqToA7YEyDsItXq5u40jBMXD5EdB2wYN5dBQBrVFUHxM/NzWhbOixrpDsOfZIcBrD/Y8OwSC3uDgCdaXV/Aybag3Pz45kze3nmblzkx+PlnCb5cM55qxQVKaO8j0Z7aOBEqBDxVFGQMkAv8H+KmqWgSgqmqRoii+nT1YUZSHgIcAQkND+zEM47Ix9Qz1LVpuHB8yYM8xMsgVW2sNiTkVg7rg/3hvNqdL6nj3rvG9c5/SaUHXBtY99IppbQQrO4I9zrUSMGUA125gYnAA11gJq++E7F1iJ276UzDpYUh4B3b/CybcDyETL3qYjZWGOTG+7EgrNUnWsVWrY9upEhbF+hsut6svF8Gpfd9bZGh16STlVjIjavB2dtsNTMYauiDZ/18oOgIRs87d1lgBJzeI24Pju3xooJs9fq52JOVWDqr0aNW+HLSqyj29ec66EtjwtPj5po9h+NUGP3RihCfLt2dwOLeKqUO9ezdYSZdcqpucEtOiqionz9SeDdgSMitobNWiUWBMiDuPzR7CtKHejAt1x876EnGZrCsRmbW8BMg/CAVJoNVvyrmHQthUCJkk5me/kd1uzKGq0NoA9WX64E7/dfb3MjE/NpSLLF5DuVgbdIWdWyfBnhd4R0PUAnDudAls0djbWPHcomEsHRvIr9em8tTqI3ydVMCfrxlF6ADWpkvOpz8BnDUQBzyuqmqCoihvIHYSDUJV1ZXASoDx48ebjVh5zaE8IrydGG/E5tYXYmdtxeggNxJzBk81U1rbzOtbTjM7xod5w3txQUn7Eb5/RlzERl4P8fdCUNw5mYFOB5nbxO7/qY0w5yWCwu8DRCuBgbA/N5TU/GrcHW3OBpQ9kvixCN4W/Ani7wE7fS+1Gc/Akf/BxmfhwW2gubh0dFyoO18nF1BY3USQ+8AYpnTFgawKapvaDJdPatvg/fmACg/vPPc6e0FcmAcaBQ5mVQxqAHc4r4ohPk6GNbVuaYCjayH2Wrh2xbnb60rhtaGQtaPbAE5RFOLDPAb1c9rUquWzhBzmD/fr3UR4dC2oWvAZBl/dB7d+AUPnGvTQ9mA4paBaBnDGpV+bnBJJOwVVjew5LQK2vRlllNW1ABDp48SN44OZPtSbSZFeuDlcAj3ddFooOX4us5aXAJVZ4j4rWwgYCxMfFMFa8MQuSxu6RFHA1kl8eYQZ9hhtmwjiGsouCPY6Bn9lUFMARSniZ20LoIhsYMwiiF4MfrGXlERzmL8rax+dymcJOby66RQLXt/Bk/OiuX96BDZW0iNxoOlPAJcP5KuqmqD//StEAFesKEqAfmIKAEr6O8jBIrusngNZFTy7sI8uTaoqdopcel5Ix4d58OGebJpatYPSi+X7lELqmtt48crhhr22miLY9DwcXy8WhRGz4OjXkLwK/EZB/N3QXCOCnqocISWwcYT8QwSN+wVg+mbevTIwUVVI/hRCJsPUx8+/z84Z5v8Bvn4QDn8KcXdd9PD2QDU1v3rQA7jNx4uxs9YwI8rAxffxb6AiQ/z8/TNw3cpeP6eznTWxgW5nm8EPBqqqkpxbxewYA9e7x9eL/9Fxd5x/u7MP+MaKAG7G092eIi7Ug42pZyipacK3n460hvBNcgGVDa29bx1w5H9iYXPXN/DR1fDF7XDn12Jnugc8nGwJ8XQgJb+qj6OWdEG/NjnNVaUiGXiqG1rZl1nOnvQy9qSXkVlWD4C3sx3Th3ozTf8VOMhzzYDQWCXKFvISRO1a/iFoqRP3OfmKQG38fSLDFjAGbAbXNwAQGT1nH/FlCKoqsnenfoC0H+DnP4kvt1B9MLcIwqf3rGqyAKw0CndNCWf+CD9eXn+Mv/1wkjWH8vjVghgWj/SXssoBpM8BnKqqZxRFyVMUJUZV1VPAXOC4/utu4G/67+uNMtJB4KtE0fvt+rheGgfodHDqe9j5D7H7ct8mCJ3c7UPiwzx4Z2cmxwqriQ/z7MeoDWN3ejlhXo5E+fWQbdHp4ND7sPUPom5ozksw9f+EznvRX+HoV3DoQ9j4K3F8+AyY+zsh2VpzF1Rk4eFog4ONlUlbCTS1akkrruXhYQYamOQfhPLTMO2Jzu8fdSMcfA+2/B6GLwWH8yV8wwNcsdYopBYMbl2jqqpsPl7MjChvw+qXVBV2/UsE5bHXwva/QuQVMPbWi4+tLYYtLwsZaeC4i+6eEO7JZwk5tLTpsLUe+N22vIpGyutbDG/gnfwpeEZC2LSL74uYCYkfiv/xbibRuA51cItG9nKnt5eoqsqHe7IZHuDKpIheXBNKTgg56KK/gYMH3LkOPlwMn90Ed38rMuY9MDrYnSN5MoAzMv3a5DRXlYrE+DS3aUnMaa9jKyc1vwqdCo62VkyO9OL2yWFMH+pNtJ+zZS+IVRXK08+ZjeQdgNKTgAqKRmSoxtxyTg7pHmaZGStFgYDR4mv282JD/PSPcGoTJK2CAyvB1hmGzIGYxUJq6WTZ6ocANwdW3jWezceL+fumkzz2WRKjgtx4dmEMM6K8Lfv/1kzpb8X648Bn+uLsTOBeRGuCNYqi3A/kAjf28zkGBa1OZW1SPjOjffB3M3CHR6eFY+tg52tQegI8IsSHMvGjHgO49oXhoezKAQ/g2rQ6EjLLWTLGAOe+Xf+EbX8SGbcl/wavDmYn9q5iJyz+XlEMbONw/v2eQyBzB4qqEuhub9JWAifP1NKm64WBSfIqkUGMvbbz+xUFFr8KK2fDjldh0V/Ou9vexopoPxdSC2r6N/BecqKoloKqRh6fM9SwB6T9CCXH4JoVMPomyNolsnDBE8C7wzmKj8PnN0F1nvg/v/7di041McKDD/ZkkVpQfdbwYyBJzmtv4G1AAFeeATm7xeZCZxNH5CxIWC4C9/DpXZ4mNtAVWysNSblVAx7A7cso51RxLa/eMLp3k92RL0CxgpE3iN+dfeCu9fDBIvj0erj3B/Ad1u0pRge58X1KEeV1zXg5W/6usDlwKW5ySoyDTqdyvKjmbB3bwewKmlp1WGkUxoa48/icKKZHeTMm2H1QNscGjJZ6Ua+Wf+BcwNaoV23YuwkJ5MjrRbAWFNcnOb9F4BogyjLi7xFeAZk7RGYu7Uc48S2giL9B9CIR0PkMs8zAFZg/wo85w3xZl1zAvzencdcHB5gU4clzi4YNyjrhcqJfAZyqqoeB8Z3cZVjxhRmxO72Mouomw3uj1RTBJ8ug7BR4x8B170LsdSIzdeQLWPx3cYHqAm9nO8K9HAelvialoJra5jamG1LfkvGzyLbctb7rC4iigP/Ii2/3jIC2Rqg7Q5CHo0kllKl6OdgoQ8wuWurh6DoRvHU3gQSOFfLJA+8ICalPzHl3jwpy46fjZwbVyGTz8WIUBeYa0uxZVYUZi1sojLoBNFZCPrliGnx1LzywRWSj0rfAmntEjUDoVPG7TiuO78D4cLHxcDC7YnACuNwqHGysiOkpiwxw+DOxozumk8wiCGmhohETaTcBnJ21FaOCB6de9YM92Xg52bLUkI2WdnRaSP0Shs47X97jFgR3r4f3F8IXt8JD27u9HrW7bKYWVBsuUZUYwiWzySnpH3kVDezWB2x708uobGgFIMrXmVsmhOrr2Dx75zxrrjTXwsbnIGW1qM0FYeox7EqRXQueKH7vpJ78ksfGQcgoYxaJObnosMjMpf0AW38vvtzDRCAXvUgoSCzM6dJKo3BDfDBXjwngfwm5/GdbOtcv38u84b78amEMw/z7Zp4mOR/pGa3ny0N5uDvaMNcQgw+dVtRDVefBjR/B8GXnLkRxdwpp1tG1IlvVDXFhHuwcBOfCPafLUBSYMsSr+wN1WiHFGnd733Z/2rNx5RkEubtzVO8CaQpSC6rxDM08SgAAIABJREFUdLIl0JBs6vFvoaUWxt7e87FzfwfHvoFNvxZStQ6MCnZj9aE8CqoaCfYYHCemzSfOMC7EHR8XA7ImOXuFdGXxP4QDJYiF/rL/ikX+llfAa6gwa/EdAbethrz9whQj/xCETjrvdN7OdkT6OHEgq2JA21K0k5xXxahgN6x7Ko7WtsHhz2HofHDtIhiyd4PAOMjaCbzY7eniQt35eF8OzW3aAXN1yymvZ+vJYn55xdDe1cRm7xKF8wv+ePF9npHCkfKjJfDNY3Dzp11+rtsz1Sn5MoAzJpfSJqek96SX1PHBnix2ny4jt6IBAD9XO64Y5nu2ls1vEGprB5UzR+HLu6EiEyY8IDaXgicIp0bJ+SiK2DAPHAdX/AZqCiFtkwjoEj+ChBVg53q+1NKC/o521lbcMy2CG8eH8OGeLN7ZmcniN3axbEwgT82PJszLydRDtGhkAAdUNbTw07FibpsUatgCbfe/xMJp2dsXS+4C48TiN/nTHgO48WGefJ1UQG5Fw4D+I+9OLyM20BXPniz9y9KgtV68hr7gqa83q8gk2GMaFfUtJustlZLfCwOTw5/pa6V6NnzAyRumPS4KkqsLRACkZ1QHI5PBCOCKqhs5WlDDc4tiej4YhDzWyUdsMnRk2JUw8SFhuQ8QtRBueF9kI23nCnne6Z8uCuAAJoZ7sjG1CJ1ORWNoC4M+0Nym5URhDfdOD+/54IytoufP4le7Py5iJux9E5rrhFFNF8SHefDuriyOFdYMWJ+9j/fmYKUo3DHZQFe0do6sFhN8zJWd3x82Vbiq/vgb2PO6aI3RCS72NkT6OJGSb7pNF4nkUuKnY2d4avVhVGDqEC/umxbO9ChvhvhYeB1bV6iqCDp+eF7UiN/1LUTMMPWoLAvXQLFuHH+fUAZlbtcbofwozMcUjchgRi8S13zvKIuQWjrZWfPLOVHcMTmMFTsy+WhvFhtSirh5QghPzI269DYxBonLMH99Md8eKaRFq+PG8QaYl+QmwLa/inqTzjI2igLj7oSCRFFH1A3xHergBoqGljaSciuZZoh8sjBZfO/EsMIg3EJAYwMVmWedGE1hZNLUquV0SZ1h9W8VWSIYH3ub4RfCqAXie/au824eFuCCjZVCyiBlHr88lA/AAkPaBxQeFoHN5EeFhONC5v9RvK6pj8Mtn5+Tkjq4i3rO0z92etoJ4Z7UNLVxqri2ry/DII4V1tCi1TEuxIAAKnmV6MUT3UND68hZor9h7r5uD2sP2pIGSEZZ19zGl4fyuHJUQO8mspZ64bQ5Ylnn72k7kx8V8u6tfxALgi4YE+wunSglkn6i06m8ufU0D61KZIivM1ufmcV7d0/gnmkRDPV1uTSDt6YaWHs/bHhSbBo9slsGb/3F1gmGXQXL/gPPnIIHfhYtjZrrhLnY2xPgrTjY9IJQkmhbTT3iHnF3tOXXi4ex49kruGViCKsP5jHrH9v46w8nqGpoMfXwLA4ZwCF6v8UGuhIb2MOCv7FSXKTcQ4TBR1cX4tE3i0Am+dNuTxfl64yLnTWJuQMXwB3IqqBVqxpW/1aYLExYvKP69mQaK/AIh4oMgvS91/JNYGRyvKgGrU49W9fTLYc/BxQYc5vhT+A3CuzdhQFIB+yshZHJYEhHi6obWb49g0Wx/gz1NaAmbPe/RaZmwgOd329jD7d/KbI1FzZBjZovLJFrCi962MSIc3VwA0lyrggsejQwqSsVO5Zjbum5biBkkugr1E1QA+Drak+whwNJA/Q5XZuYT21zG/dOC+/dA09+LzLmXdX5taMosPQt8IqCr+6H6vxODxsV5EZJbTPFNU29G4dEIgGgvrmNX3yexL82p3HtuCDWPDyFALdLwOq/O4qOwMpZwtBtzktwx9eXZPNqk6LRiJ6lc16CR3fDk0fhyteEcujgu/Dx1fDqEFHukPJl943HzQA/V3v+dM0otj4zi0Wx/qzcmcmMV7fxn59PU9/cZurhWQyXfQB3vLCGowU13BjfQ/ZNVeHbJ4Q06/oPhCNjVzh5CVlayhfQ1vWugkajMC7MY8B29gH2pJdha61hQrgBuumCJNFnRdOPOh+vIVCRdbY/TWHV4C8GU/UysB4zcDqtCOCGzDlPCtkjGo0wvsjeedFdo4PdSMmvRlUH1vX7bz+cRKuqvHjV8J4PLksXmZoJ93drZNElUQvF99M/XXRXsIcD/q72HMga2ADucF4VgW72PWeoUlaLrNq4O7s/DkTWKmSSvg6ue+JCRUNvY7+vOp3KR3uzGRvizrjeyjOP/E8Y0oRO6flYO2dRA9fWBGvuFu0TLmBMiPjfkO0EJJLek1fRwPXL9/LjsTO8dNVw/nXTmEHp8WoyVFW01nlvvnBWvHsDzHz28jQmGWzcQ0Qz8zvWwnNZ4to+/Goxl339ALwWDQffF++RGRPm5cTrt4zjh/+bwaQIL177KY1Z/9jGR3uyaG7Tmnp4Zs9l/0n7MjEPWysNy8b2sIBP/FDYvc79ndgJ6Ylxd0FDuXAW6obxYR6cKq6lpmlg0t+708sZH+bR80SibRVZlr7KJ9vxjISKTPycbbHSKBRUNfTvfH0gtaAab2dbAnoyMMnaATX5Fzd6NoTwGVCVC5U55908MsiN6sbWAc08HsyuYP3hQh6ZGUmIpwG1dnv+LdwlJz/Wtyf0HS7ksWkXB3CKojAhwpOD2RUDFrTqdCqJ2RU9BziqKuSTwRN6tM0/S8Qs8X/f0H0AGh/mQXFNM4XVxt2Q2JFWSlZZfe+zbzVFInM45mbDF0w+0aJut+CQ+DtdwIgAN6w0CqkmNB+SSCyRvellLP3PbgqrGvno3ok8MCPy0pRKttNUI5yLv39GbGY+shvCO+m3KRl47JxF8HbN2/BMGty/RdR3f/80fPdEp5t15sYwf1feu3s8ax+dylBfZ1757jhzXtvBV4n5aHXmHYSakss+gNt6ooSZ0T54dGfw0VgldMZD5sCUxw078ZArwDVING3shvgwD7HuzDX+rndZXTMnimoMq38rOQ7aZuMEcK0NWDeU4O9qml5wKflVjDTEwCT5MyGF7MoAojva9f0X1MGNDnLXj2FgFsFancor3x4jwM2eR2Yb4PxYlSfaWoy7s++yFkURMsrM7Z1OBhPDRXCTVzEw7/X3qUUUVjexsKcG6Vk7RVPY3gTkETMB9aL38UIGqg7uw73Z+LrYsbi3PeZSvwRVB6Nv6d3jYq8RPYaOrrvoLgdbK6J8nTkijUwkEoNQVZWP9mRx5wcH8HK249tfTmdmtE/PD7RkCg/DOzOFe/Pcl+H2ryy+CfUlg0YDIRPgtjUw41eQ9Al8eGWn5Q/mSHyYB/97cDKf3DcRTydbfvXlERa+vpNNR4sGXNVkiVzWAVxxTRO5FQ1MjuxBXnhqo+hvdsVLhu92a6yEMUbGVuFW2AVjQtzRKAxIn6m9GeUAhte/gXECODhbBzfYveCqGlpIK64jvqdsTX05nPhONLO26YMDks9wcPS6qA4u2t8ZWyvNgGUxVh/M41hhDS9cOdwwd8+9b4rv0/6vf08ctVDUW+Xsueiu9qb07Y22jUmbVse/N6cR4+fCklHdBDmqKtoguAaJGlRDCYoTdZ+ZO7o9bFiACw42Vkb9nKaX1LEzrZQ7J4f1rlmvqor62qDx5zdfN5TY68T7WFN00V2jg91Iza+Sk6VE0gPNbVqeX5vCK98d54oYX9Y9NpVw70vYFl1V4cC78P58sZF3z/cw42kpmTRHNFYw97dw0yooOQHvzIKc7s26zAVFUZgZ7cO3v5zGf2+PQ6eqPPJpEte8vYfdp8tMPTyz4rL+5LW7P/ZYH3Zsnag1Ceqlvf7Y28Uu+ZHPuzzE2c6aYf6uA1IHt+d0Ga721ow0xI2xIEnUR7UHYH2lvRdcRSbB7g6DnoE7qH9P2801umTvm6Bt6drUoyfO1sHtOk9nbmdtRYy/C6kFxs+oVje08tpPp5gY4cmS0QZkbOpKxA7c6FuEZr4/RMwEK7tOZZQxfi7Y22g4PAC1U+uSC8gsq+ep+dHdtyk4vh4Kk+CKF7p3ZLwQKxvhmtZDHZyNlYbRwW4kG9HIZNfpUgCu76n+9kKydkLZKVHT2BdirwFUIQm/gNHB7lQ2DKwEWCKxdEpqmrh15X7WHMrniTlDWXln/KXRgLsrmqpFb7eNv4LI2UIyGWZA7a3EtIxYCg9uFa7SHy8RAbiFbM4pisKVowL46cmZvHr9aEprm7nj/QRue3e/UedhS+ayDuAOZlfgaGtFbGA3hiSNlZDxs1j09FbT7hkhaqWSPwWdrsvDxod7kJxbaVStr6qq7E4vY+oQb6wM6c9VmCyyb/3V7bsGCwfOcpGBO1PTRKu269dubA5mV2BrpWFMSDduhXWlcGAljLoRfAzsodYZ4TNEE+WKzPNuHhXsRuoAGJn8e0saVQ0tvHz1CMPqK/a9LYLULnp/9QpbRyEb7aSdgLWVhlFBbkYP4FradLyx9TQjg1xZGNtNqwRtq7DI9xnesyNjZ0TMgvLTPcpM4sM8OFZYQ1OrcYqr00vqcLG37rlW80IOrAQHT5FJ6ws+MeAbKzamLmB08LmG3hKJ5GKO5FWx9D97OFFUy39vj+PpBTED2gPT5BQkCcnkiQ0w7/dw62ph1CaxDHyHw4M/w5C5IgBf/0totRynYWsrDTdNCOHnX83mt0tGcPJMLdf+dy8PfXKItAFuX2TuXPYB3LhQd6ytuvkznNggXO1G9nGxNOEBqMyGQ+93eUh8mAf1LVpOnqnp23N0Qk55AwVVjUyLMkA+2dokauD62sC7I1bW+lYCmQS6O6BTGVRb8oSsCsaGuHdv2rLndeHGN+v5/j1ZxEzx/YL6qVFBbtQ0tZFbYTwDl/SSOlbtz+HWiaE9t7sAsfFw8H0YcU3fZHadEbVQBKvlGRfdNTbEXfRqazNesL7mUB75lY08syCm+4A16ROoyIB5L/fNQbX9fewhCxcX6kGbTjVacJNeUsdQ31429a3KE5Lu+Lv7Jv1tJ/Za0f/ugqA1xl/fy1D2g5NILuLrpHxufGcf1lYKax+dypXdybotHVWFhHfg/QWgbYN7f4DpT0rJpCXi4A63fgEzn4PDn8KHi7tsJ2Ou2NtYcf/0CHY+dwVPz49mX0Y5C1/fydOrD5NnxLWWJXHZfhJrm1o5UVTD+DAD5JMe4RAwtm9PNGKZMD/Z8opwLeyEgTBI2J0utMIG1b8VHxVBan/r39rRO1G2N/MeLBllfXMbRwuqu5dP1p4R1sejb+l/YOMdDc5+F9XBtbcvMGYW47/b0rG10vD0/GjDHpCwElpqReNPYxE1X3xPuzgLNzbEg5Y2HSeKjLMJ0dSq5a2fTxMf5sHs7kwBmutg+9+ElX5Pjbu7wm+kyGj1UAfXXutnrDq4jNI6hvo49+5B7RtB4+/r35PHXiu+H/vmvJvtrK0YHuAqM3ASSQfatDr+/P1xnl5zhLhQd7795XRGdKfcsXQaq2DNnfDDczB0LjyyC0InmXpUkv6g0cCcF+Hmz6DsNKycDdkX17SbO8521jwxN4qdz13BgzMi+T61iDn/3M7v1h+lpNZyMovG4LIN4JJzq9CpPdS/NVQI573Ya/suLVQUWPK62M3a8FSn+uNgDwd8XeyMapCwJ72MIHcHwr0MsJlvNzDpbY1fV3gN0QdwIkOQUVpvnPP2QJJehtptALf7dSG5m/Vs/59QUTqtg4v2c8HWSmO0ht55FQ2sP1LIrRND8XK26/kBzXWQsByiF4P/SKOMARCSYO/oTmWUY/UNto8YKXPzWUIuxTXNPLMguvsM1f7lUF8ipD19/YxqNCILl/YDlJ7q8jBPJ1sifZzYm9H/QuqqhhbK6loY6tuLAK61CRI/Fq6p7qH9G4D3UPAf1amMclSQG0cLqtFJ+2aJhOqGVu796CDv7sri7ilhrLp/Ep7duVZbOvmJ8M4MOPUDLPiTyNw4GtBHVmIZDF8i6uLs3eGTpSLLaiF1cR3xcLLlhSuHs+PZK7ghPoTPEnKZ9ep2/rrxBMcLay4LI67LNoA7mF2BlUZhXGg3tVInvgVVe263uq94hAl5V/oW0Wj4AhRFIS7Uw2g1RFqdyt6McqYN9TJMnlWQBE4+wsHPGOhbCYTZ1hDl68yrP54ku2zgg7gDWeI9bc+UXERNIRz6QLiD9tespZ3wGVBXLHa09Nhaaxge4GK0LMa7uzLRKPDgzAjDHnDoAyGhnPkrozz/eUQtELt2zedrzwPd7PF2tuOwEdph1De3sXx7OlOHeDF1SDcZ5Poy2PMGDFvS/93h2b8WtZsfLIT8Q10etijWn70Z5ZTV9a+3TnpJHUDvArhjX0NjhWjgagxir4X8A0KW2YExwe7UNreRVT44Gy8SiblyuriWZW/vZn9mOX+7bhS/XzYSm+5KLiwZVYV9/xXXQFWFezfB1Mf7XxcvMT98YkQQF7VAZFm/eVQ0Y7dA/N3s+et1o9j69Czmj/Bj5a5MrnxzFzNe3cbvvzvGvoxy2gbRh2EwuUSvRD1zMLuC2EBXnOy6sWI/tk4s9P1H9/8JJzwAIZNg06+FO+AFjAh0Jaeigfrmtn4/1aHsCqobWw3r/wZ6A5M4412o9cGRdVU27909HoD7Pz5IdePANCtvJyFLvKfOXb2nu/4pAvKZRsi+tXO2Du78+qlRwW4cLex/FqO0tpnVB/O4blwwAW4GuCu2NsG+/whjjuDx/XruToleCLpWkZnugKIojA1xN8omxMf7simra+GZBT3IRXe+JlobzP1dv58T3+Fw/4/CifXjq8VmSycsHRuIVqfyQ+rFFvy9odcBXHs9ine0eG+NwYhrxPfj68+7eZTeyCRVyigllzGbjxdzzdt7qGvW8sVDk7llYj+z3uZMYyV8cTv8+BshlX94p+gnJrl0sXcTcsrZL8CR/8EHiy7azLMkwr2dePPWcRx4YR5/v34UMX4ufJaQy63v7mf8n7fw9JrDbDpaRENL/9fY5sJlGcC1tOk4nFfVff1bfZkwNYi9zjiBjcYKlr4FLfVix+MCYvxdUFWM4qrzvwO5uNhbM39EN8597TTXCUtyY9W/wXm94MK8nFh+ezw55Q08/r/kAdsJaWrVcjivioldSWKr8oT8bNydIiNqLDwjwSWw0zq42qY2cvpZXPvBnixatDoenmVgxvDwpyIjOBDZNxC1ZnaukLbporvGhbqTWVZPdUPfA/WmVi3v7cpiVrQP8d19PhsqRC3j2Nv75yTaEc9IuO8n8BwCn98MqV9ddMgwf1ei/Zz59kj/GqOml9Rha60h2MMAiTNAQSIUHYaJDxlvo8VrCASMEZm9DkT5OmNvozGaHFYisSRUVeWtrad58JNDDPF15rvHp3V/LbJ08g/Biplw+idY+Be45XMpmbxc0Ghg9vNCJluRCStnXbSWsTR8XOy4eUIo798zgeTfzmfFHXHMGebL1hMlPPJpEuP+sJkHPj7I6oO5/VbSmJrLMoA7VlhNU6uOCeHdNHs+vl70cOuvfLIjPjEw6zmR2Tux4by7hvuLguhTZ/oXwJXXNbMx9QzXxwUb1uj5TIp4ncYM4NxChBxNb68/ZYgXf7pmJDvTSvnT9yeM9zwdSMmvpqVN13X9267XxMLXmKYeIM4ZMQOyd5+nIx8VJKS5/WnoXdPUyqf7crhyZACRhphdaNtg71uiwXP4jD4/b7dY2Yii9rSfLmqNMSa4/3Vw6w8XUFHf0nPAmr5VZALj7+3zc3WKix/c+73Ilq+9HxI/uuiQpWMCOZhd2a8m9emldUR6OxnW4gNE6wBbFxhzS5+fs1NirxPBYWXO2ZusrTTEBrrJDJzksqO+uY1ffJ7EPzence24INY8PMUw5YMloqqw9z9CMqkA9/0IU34hJZOXIzGLRasBRy/4ZJmoLb8Easic7KxZNDKAf900lsSX5vH5g5O4bVIoJ4pqeX5tKhP+vIUbV+xl5f+3d95hUV7ZH/9cmihNKQKCoiCKXbHEGruJJlHTe1tTNz3Zze5ms5vNJtnNZtM31V8S06upplhi711jwQaCBRQUG6K0ub8/zqAgAwwwwxTu53l4XnjnnZlzmXfe9557zvmeRemNUubjaJqkA7c6Mx+AfjUJmGz5FiKSIbqbY998yIMQ3UOicBUmwPGtmhMU4Mu2Bjpw09fuo7jMwnXn2ZnusX+dbB3pwPn6SZSrgtz8NQPaMWVoB95flsknK7NqeHL9WLX7MFCNKE3RCVj/CfS5oeENrW3RfhgUHoLcs85pcnQwAX4+bGqAM/PR8ixOFJVy94gk+56Q9oO0rBj6oHNvwp3Gi3BIufiNlZ5tw1CKeqdRaq15b0kmKTEhDEqspc/QztnQItKx5205gWFwwzfyuf76DxG9qcAlvdoA8GMDonDlLQTsoiBXrke9r5OGrI6kW3kaZWU1yp7WFGBvrR0wGM5lb34hl7+5jJmbD/DXCV148apeNbej8WQK8+Gza2H2X0W9985FEN/X1VYZXElkMtw2V5y5mX+Gb++EYu+R5/fz9WFwUiRPXNKNJX8ayU/3D+X+UcmcLCrjXz9vY8TzCxj74kL+O2sbG/ce9QgRrwY7cEopX6XUeqXUj9a/OyilViqldiqlvlBKuZ1c0+rMI3SIDCIqpBpFvxMHIWtpw9Qnq8PXHwbeJQ2gD51VvPPxUXSKCWlQLziLRfPpqj0MaB9Op2g7J3rZ60W8JMSOdMu6EJ4E+bsr7XpsQhdGdI7iie+3NDjSeC4rd+fTOTqEVrbUwTKXSLTGkdHUinSwRrsq9IPz9/WhW5vQeiuLniou470lkkrYPc6Ovm9ai6BHREdRKXQmyWNB+YhqYwVCA/1JigpmYz0duGXph9l+8AS/G9qhZvEdS5nUqCWPdV5PIv9AOO8uqQ05pz9cQkQQveLD6p1Geaq4jP1HT9nvwK14Uxqy97+tXu9XI63aS/3r5spplH0TWnG6xMLqTMcp4xoM7sqy9ENMfG0J2UdPMe3WAdx+fmLd+jN6EntXwVvD5Bp64X/g6o+heQ3ZSIamQ2AoXPURjHocfvtSorNHHL/g7mqUUnRrE8ZDYzvx8wPDWPzoSJ64pCuRwc14a2EGk15fyqBn5/L4d5tYtCPPof1tHYkjZj8PABXz4v4DvKS1TgaOAFMc8B4OQ2vNmsx8+lWnVAhW9UkHp09WpN0g2WYtq7Q7JSaUbQdO1Fv+dMmuQ2QdLuT6gXUots5e55wohrUXXMUwvK+P4vkre1Fq0czZesBhb1VaZmFd1pHq0yfT54N/C0mLcwat2kNYuyoT/eGdoli/9yh5J+qeZ/3lmr0cPlnM7+2Nvu1eJDVSg++rXzPrutAiHNoOhO1V6+DKhUzqcw6/t2Q3EUEBTLRGuKpl/zpRYyzvS+csOo6GgOAq0SmQKNyW7OOk5xXU+WUzDhWgtZ0CJlu+hSUvQs+rIcrOHoB1pdulcu5UWHAZldKaoABfvlnnWc1eDYa6oLXmg2WZ3PjuKiKCm/H9vUMZXlPfSU/GYpFFvmnj5R4xZZYsJnuro2qoHz4+IvR23ZfivE0dUUW0zNtoG96CW4d04LM7BrL28TG8eFUv+rRtxddr93PTe6vo+9Qc7vtsPTM2ZnPitHPF+OpCgxw4pVQ8cBHwjvVvBYwCyqv/PwAmN+Q9HE163kmOFJbU3P9t89cQlQLRXZ1jRHiiNIDes7zS7pSYEI4WlpBbjwk/wCcrswgPCuDC7jH2PeHUEXGynOHARSSJQmDBwUq7I4ObkRITwoqMfIe91dac45wsLqvBgZsHCUPAz44eavWlwzCJ2lZIi72gWwxaw69pB2t4YlVKyixMXZRB34RWNfe0q8jSVyCotTQobww6XQAHN8GxyhP8Xm1bcvhkMfvq2Lx996GTzN2Wy/UDE2pPW9o5SyKASaPqanXd8G8u6SRpM2ymUSoFM+oRhbNbgTJrOXxzpzjLl7xa5/exm/IG6JlLzuxqEeDHhB6x/Lwph1PFZc57b4PBRRSVlvHnrzfxxA9bGNk5im9/P5gOkUGuNss5FObDZ9fAnL9LhsadiyDOpEwaaqDTOLhjPgS3ho8ulfp6L6iLq42WLQK4LDWet27sy/q/j+Xdm/sxoUcsy3Yd4r7P1pP61Bxuem8VH63I4sAx1zYOb2gE7mXgUaB81hoBHNVal+t07gMc1FzMMaw5U/9WTQRux2xxrPrc4DwjlJIoXFZVBw4gLafuaZQHjp3m17RcruwXTzM/OyMwjm7gXZFwa8+yCnVw5QxMjGBNVj5FpY6ZGK7aLZ+pTWfn6F44vBOSRjrkvaolYYg4xHnbzuxKiQmhXXgLZm2pW7Rx8c489h89xR32pvEc2ATpc2U11T+wrpbXj87jZXuOGmWftiJksr6OaZTvL91NgK8PN9gTPd45W6KpjZH203WyzTTK6NBAzusQzg8bs+scbUzPLcBHUfNk8dBOmXC1bAvXfubczzWiozR13beq0u7LUuM5WVzGbAdGyw0GdyD3xGmunbqCL9bs5b5RHZl6Yz9CAv1dbZZz2LMC3hoKGfNhwvNw1YfQvIb+twZDORFJcNuv0mt19uPw9W1eVRdXG4H+vozuEs1/rujJqr+OYfpdg7h1SAf2HD7J377bzMB/z2XS60t5ff4udh6sf/Zcfam3A6eUuhjI1VqvrbjbxqE2R6SUukMptUYptSYvL6++ZtSZVZn5RAYH2J48lRbBzD/JhGbAHc41JGEwHN8HR/ec2ZViVaKsj5DJ56v3UGbRXD/ADon8o3th5mPwxY3gH+SkFEpr6p9VibIiAxMjOF1icVij65W780mIaEF0qI1JbsZ82To7WtN+iGyzlp7ZpZTigm7RLNt1uE5h9x835hAa6MfIzq3te8LSVyXVr9/v6mJxw4jsBK06VEmj7BwTQjM/nzrVwR07VcJXa/dxSa82tA6pxVE5cQByNjo/fbKcjmPkf7vl2yoPTewaeqs7AAAgAElEQVQVR0beSbZk123BZVdeAe3CW1S/0FKQCx9fDj5+cP1050t6+/hAfH/Yu7rS7vM6hBPXsjnT15o0SoP3sHHvUSb+bylpOSd4/bpUHhnXGR971WA9iaICWPRfmDYBfANgyhwYcLtJmTTUjWYh4vSPfkKy094dJ2JpTQxfH0W/9uE8NqEL8/8wgjkPnc8fL5AWRv+dtZ2xLy1i5PML+GL1nlpeyXE0JAI3BJiolMoEPkdSJ18GWiqlyvXr4wGbOUZa66la635a635RUY2Xc74m8wj9EsJtRzaWvyYOx/j/ODfdDirUwZ2NwoW18Cc2LLDOAh+lZRY+X7WX8ztF0S6ihr5SOb/B17fDK71g5VuSSnHbHOdEMsLaygTUpgMXjlKwPP1wg9/GYtGszsyvvv9b+jwIiZWUWGfSMgFC4yuloQGM6xZDcZmF+dvtW6Q4XVLG7K0HGd89lgA/O76eR/fIRbXvLY1biK6UpN7tXiS9Da34+/rQIy6sTkqUX67eS2FxGbcOaV/7weUNtpMvqKPB9cQ/UKKN236skkY5vnsMfj6qzmmUNSpQFp+ET68SJ+66L89Gsp1NfH+JHp8+u6ji46O4LDWOpbsOuTxVxJPxRKEvb+Xb9fu48u3l+Poovr57MBf1jHW1SY4nNw1++gO8kALznoYul8CdC6FNb1dbZvBUlIJhD8uC4rE9UheXPs/VVrkMpRTJ0SHcM7Ij398zhBV/Gc3Tk7vTLiKIxhSvrLcDp7X+i9Y6XmvdHrgGmKe1vh6YD1xhPexm4PsGW+kgDh4/zZ78Qtvpk8f2waLnJVTccYzzjYnuJg2R91QWMukcE1LnFMp523I5cPw019fUOiBzCbw9DLb/LOp6D2yEy//P8W0SyvH1E6cmv2oKZcsWAXSJCWVFRsMduJ25BRwtLLGdPmkpk+LbxJHOX3VUSqKqWUsr5YmntmtFZHCA3WmUC7bnUlBUekaqvlaWvyHvPfD39bG6YXS+EMqKqhQ492rbks37j1FihwR9aZmF95dlcl6HcPvUNnfOlsbpzjpvbdHtUmsa5cJKu1sFBTAsOZIZG7PtlhwuLbOw+9BJkqpz4BY8C9kb4Ir3GlfWu21/QEtPuApclhqPRcN3G/Y3ni3eh0cJfXkjZRbNv35O46EvNpLariU/3DuErm1CXW2W4ygthk3TJdr2xkBY9wGkXCRRtyvfl9YoBkNDSR4DdyyQRfGPL5fa+yZQF1cbMWGB3DAwgQ9/N4BrB9RBRLCBOEOD+0/Aw0qpXUhN3LtOeI96scYqiW1TwGT246I8ecG/GscYH1+p46lSBxdKel6BXZPfcj5euYeY0EBGp9SQcrfpK0kFe3ATXPgv5/RDO5eIJJsROJA0yrVZRxpcB1fe/+28Djb6huVslIm3s9Mny2k/BE7mweFdZ3b5+ijGdo1mwbZcu8Y6Y2MOkcEBDEy0I22uMF9u1D2ugjAXlJq2GyyLENsrtxPo3bYlRaUWuyLJc7YeZP/RU/xuqB2RprISURRNHtu4aUBJo6WJ9paqapQTe7ch+9hp1u6xT25/T34hJWWajrYasxedkMbh3S6FFCe3gjiXuH6AqpJG2SEyiNR2Lfl67b5Gz+/3BjxR6MvbOFZYwi3TVjF1UQY3DUrgoynnERHs5AybxuLoHvj1SXipK3w9RdoTjf0nPLwNLnsb2g4wKZMGxxKeKAsDXSeJKM70Wytl4RgaD4c4cFrrBVrri62/Z2itB2itO2qtr9Ra109S0QksTT9Ec3/fqitvGQulxmXow9KAurFIGCS94E6ejUSlxIRQUqbJyLPvC7Ert4BFO/K4ZkBb/Hyr+Ti1hh2zxJFxdj1NRcIT4XCGzRWaQUkRFJVaWL+n/o2us4+eYvrafcSEBtI2vHnVA8rr3xJH1Ps96kTCUNnaSKM8WVzGsl01RxwLikqZu+0gE3rEVv9ZVmTxC1BSKK0DXIFfgJxTO2ZVUt/sbaeQyZGTxTw7cxvtwlswposdfQj3rICi45A8rkFm15ka0ijHdo2hmZ8PP/2WY9dL1ahAuf4TGd+gexpscp0JDIXWXaoImYBE4XbmFtS51s8AeKDQl7dgsWi+37CfCa8uZkXGYf59WQ/+Oak7/vZcW90ZS5mIrX16NbzcE5a+LCnQN3wN962HIQ9AkI0FTYPBUTQLhiumwZgnYev38M7YahfrDc7Dw69k9pN56CTT1+zjop6xlS/gZSXwy6OS7jfk/sY1qt1g2VZoJ5ASK0qU9jb0nroonWZ+PtwwsAbHM2cjnMg5KxfeWISXtxLIrfLQgPZSB1efNMqi0jJen7+L0S8sZPvBEzw8rpPtmsb0+RDTA4IbqcYyIknaQ1QQMgEYnBRBcDO/WtMo56Yd5HSJxb70yZyN0uC57y3Oa3dhD53Hw8lcyFl/Zld8q+ZEBgewoQbnvLjUwt2frCXn2Gleuro3vvaICOycDT7+kDjcEZbXjW6TbaZRBjfzY1hyFLO3HLArQrXL2jeuSgqlpQxWvCFR+fh+DjO7TsT3h32rKznjAJf0bEOAr48RM6kjnir05elorVm4I4+L/7eEBz7fQGhzfz6/Y2CjpjY5hZOHYMlL8Gof+PRK6Yc57BF44DdRqu04RgSJDIbGQCkY+qDUxR3fD1NHnq1RNzQKTebb/vRPWwnw8+FRq2rMGVZNleL9C5+Vvk+NSVwq+Dar5MAlRgbj56PsUqI8cOw0367fz9X92xJZU0rIjpmAavzIRXiibG3UwYW18Kdbm9A6C5ks2pHH+JcX899Z2xmWHMmch4ZzVT8b6aDFJyVik+jk9gEVUUraCWRWroNr5ufLyJTWzNl6kLIaaqVmbMwmNiyQvu1qESOxlMGMBySaOuYfjrG9vnQcKz3ZKqhRKqXoFd+SjftsO3Baa574YTMrMvJ57vKe9E2wU3xl5xxJU20W4gjL60YNaZTjukWTfey0XRGqXbkFRIc2I/RcyfJtP8HRLNdE38qJ7y8iJod3Vtod1sKfMV1b88PG7Dqldhs8U+jLk9m49yjXv7OSm99bxYmiEl6+ujc/3TeUvgmNmHniSLSW+9jXt8OLXeDXf4hA2BXT4KEtMPpvjVMOYTBUR8fRUhcXFg8fXwGLXzR1cY1Ek3DgFmzP5de0XO4b1ZHWFaXmy0qlCDNxxNm+Vo2JXzNpppl1VsgkwM+Hjq2D2WaHkMm7SzKwaLh9WGLNB+6YKZOzxopElRNhtatCb7SKDOwQwfq9RzldUnttWNbhk9z50Rpuem8VFq2Zdmt/pt7Uj7bh1ahuZi4FS0nj1b+VkzAYTmTDkd2Vdo/rGs3hk8WszbJdK3WssERWjXvG1i5pvfod6eF34bONqzxpi6AIiB8AOyrXwaUmtGJXbgH//jmNY4WV0w6nLc3ks1V7uWdkEpP72Jk9dnQP5KU1/iJEOTWkUY7pEo2Pgtl2CNWkV6dAueINaNlORJRcRdsBst23uspDl6fGk3+ymAV2qqkaPFPoy1PJyCvgnk/WMen1pWw/cIJ/XNKVuQ+PYHKfOM9sEVB0Qq7zbw6B9y6Qe3jfW+H3K+HWn6D7ZZLCbjC4A+EdYMps6H45zH0S3j5fRAHztrvaMq/G6x244lIL//xxK4mRQdw65ByhhJ2zoeAgDLjTdYW+CYMkHa6o4MyuzjEhtQpAHCss4dOVe7i4Z2z1TgzA8RyZ7HdqJNn1irRsD63aizqWDQYlRVBcamFdDQIQJ06X8O9f0hj74iIW7zzEH8Z1YuaD59feIy1jPvgFnm3X0Fi0t9bBZVVWFx3ROYoAX59q0yhnbT1ASZmuPX3y2H6Y+5REhLpf7giLG07nC6WZ+LGzSoU3DUrg8tR4pi7O4Pz/zmfqonROl5SxYHsuT/+0lQu6RfPI2M41vOg57JwjW1c5cFBtGmV4UAD924cze+vBGp+utSY972RVAZP9ayUKf97dIm7kKiKSRa1ub9U6uPM7RRERFMA360wapQNwW6EvTyP3+Gke+3YTY19axPztuTwwOpmFj47kliEd7GvD4m4c3AI/PiwtAH56RK4Hl7wCD6fBhOegtZPb4RgM9SUgCC5/R85X3wCY9xS8PgD+108ix/vWVknPNzQMv9oP8Ww+WJZJRt5Jpt3Sv+oFfd2HEBzj2klhu8GgXxDxAGu0KCUmlO83ZHOssISwFv42n/bRikxOFpdx1/Ckml9/5yzZuiLC6OMjNVq//kNWYqIqT9j7dwjHR8GKjHwGJ0VWeqzMovlyzV5emL2dQwXFXNE3nj9e0Nl2s25bpM+TaJi/ncc7iqgUaBEhEcA+N5zZHRLoz5COEczeeoDHL+pSpWZvxsZsEiJa0KM2Kf1fHpXI4kUvuI+6WOII2e5dCWGXATLeF67qxW3DOvCfmdv418/beH9pJidOl5ISE8pLV/eu28r4zjmyGBDR0dHW28+ZNMpvq7QaGdcthqd+3ErW4ZMkRATZfPqB46cpKCqtGoFb/oaoeVY4X1xCeUNvGxE4f18fJvWO4+MVWRw7VUJYc9vXJYNttNYLgAXW3zOAAa60x9M5frqEtxem896STErKLNxwXjvuHZVMVIgHqkuWFsHWH2DNu7KQ49tMImz9b5MMHXe5zhsMtaGUzPn63gLHs6U0YNuPsOx/Ur8Z0kYUllMulsVuX3MfaQgeuERlP7knTvPK3J2MSmnNyHMl9o9ni3PT+zrpWeYq2g6QGqIK7QRSYqTGZ/tB21G40yVlTFuayYjOUXSJraWXzY5ZENYOWrtI6KL3DSI8sfb9Kg+FBvrTPS6MFefUwWmt+eP0jfzlm010iAxixr1Def7KXvY7b8ezJW2zMevfyjnTD25JlYcu6BbD3vxTpOVU/lwPFRSxLP0wl/RsY1uMpZzyi+HwPzVeg2d7aN1NVtyy11V5qEtsKO/fOoBPbz+PyJBmBAf68c7N/WgRUIfv3PEcccg7XejaycyZNMqfqqRRjusqKpqzt1QfhStXoKwkYHJsnziEqTeJEqSriR8gjYArNPQu59Yh7fnuniHGeTO4jNMlZbyzOIPzn5vP6/PTGds1mrmPDOfJSd09z3k7kiWLmy92hW9ugxMHYNzT8Mg2uPQtETMyzpvBUwltAwNuh5u+hz/ugkvflt6mGz6FjybDfzvCN3dC2gwoLnS1tR6JV0fg/jtzO0WlZfztYhvOy4ZPpe+bq1e9A0Mhunu1SpS2GlR/tWYvh08Wc3dt0beSU6LE2OcG190IgqOgy8Xy/x799ypCMYMSI3hv6W5OFZfRPEDSx16as4Nv1u3nwTHJPDA6uWanxhbp1vYBjV3/Vk7CELkoHd1bqcB8TNdo1LebeObnrVw3IIGhyZGENffnl80HKLPUkj5ZVAA/PyqOuKvaBlSHX4Cofe5fX+0hg5Mi+eHeoZRZtH2KkxVZ9F/5rg68u4GGOoCuk2DTl7B7kRRvW2kb3oIusaHM3nqA28+3XZNqs4XAqqmAhvPudKbV9hPfD2novQ6SKi+A1JiqbXBr6vW9cyPKLJpv1+/npTk72H/0FMOSI/nThSl0ry1jwd2wlIlS3+p3JKtAKeg0HvpPkQVHoyJp8Eaat4Je18hPcaGUuKT9KLXzv30Ofs3lfppykSzUNma7Kw/Gax24DXuP8tXafdw5PJEOkeekNFkssP5jaD9MpN9dTcJgiVCVFoNfADGhgYQ197epRFlaZuHtRRmktmtp07mrxO5FUHpKapRcSd9bJcqw9Xv5AldgYGIEby/KYN2eIwzpGMnnq/bw6rxdXNO/bf2cN5BoTVBriO7moAHUkYQhss1aBi2vPrM7MrgZ949KZtrS3dyzax2+PorUdi3JO1FEp+hgOsfUoK644g04vg+umOWeaQdtUmHjZzJBqaGOq86TyPzd0qw89WZJoXQ1HUdDQDBs/a6SAwcShXt13k4OFRTZVIXdlVtAaKAfUeWPFRXAmvehy0QRMHEH4q0NvfetruLAGTyXa/9vBRaLZninKIZ3jqJ7mzCPEPfQWjNvWy7PzdzO9oMn6BkfxnNX9GRIx8jan+xOFOTB+g/l+35sj7SbOf+P0PdmUe8zGJoKAS3EUUu5SIQEs5ZKZlF5hpHyFbXplEvkmDDTJrM6vHK5p8yi+fv3m4kKacZ9o5KrHpC1RFQCU29qfONs0W4QlJ6GnA2AyLB3jgmxqUT506Yc9h05xV3Dk2p3bnbMBP8gcVRdSYfzpSfcmmlVHurXvhW+Porl6YdZsD2Xv363meGdonhqcvf6OW9lpeLAJY10XdQxupuIQdhIo3xobCfW/W0sX901iLuGJ1JYXEbm4UKu7FuDFHRhvuSQd74I2g10ouENIC4Vigvg0A7Hvu6CZ8HHTyY77oB/c1khTPtRzrUKjOsWjdbSz88Wu6wKlGfO6+0/Q9Ex94gslhMYJnWcNoRMDJ6J1ppBiREUl1l4Yc4OJr62lH7P/MqDn6/n2/X7OFRQ5GoTbbI2K5+r3l7OlA/WSO/P61L5/p4hnuW85abB9CnSAmDuP6FVAlz5vrQAGPVX47wZmja+ftLXdcJ/5Ttx+zxpRH/iAPzyR3ipq/SXW/wC5Dl4buEFeGUE7vPVe/ht3zFeuaY3wc1sDHHdh9AsDLpc0vjG2SLB2tA7a9kZKe8uMSFMX7sPi0WfWSk9ePw0r/y6k46tgxnTJbrm19Ra6t+SRkq7AldSXtg6529yQ2vd5cxDIdY6uBm/ZTNt6W5SYkJ4/frUys3W60LWUjiV71o5dh9fEafJXGrzYT9fH/q3D6d/+3D+eEEKBUWltPCvQX1w+WtQdBxGPuYkgx1Am1TZ7l9X6fNtELlp8NsXkjIaGuuY13QEXSfB5umQubhSlKprbChxLZsze8tBru5fNaKWnlfAqIq1uAc3S31onIsad1dH2/4iqmCxmJQuL0ApxUNjO/HQ2E4cKihiyc5DLNyRx6IdeXy3QVrQ9YgLOxOd69O2JX71vf46gJ0HT/DcrO3M2XqQqJBmPD25O1f3b1v/e4IrKC2SSefiF2XRp/8U6Pe7KkJeBoPBilIi2hPXF8Y8IQ7bthmyWDr3n/IT2UnmdikXy6JxE68R9ToH7nBBEc/N3M6gxAgm2qopOnVEJiepNzV+4+7qCG4tEao9y4EHAegcE8rJ4jL2Hz1F2/AWrM3K566P13GyqJSpN/arPf3lwG9wfL/7TPp7Xy+ysmumiRxyBQYlRvDWwnTiWjbnvVv623a67SVthjWfekztxzqThMGS333iAITE1HhojeMtyIMVb0G3yyCmu4ONdCCRyZJamL0O+lzvmNec97S85tCHHPN6jiJ5rES2t35fyYFTSjGuWzSfrNzDyaJSgip8rkcLizlUUFy5/i1vu/zfXCmiZIv4AbLIlZ8u9hm8hsjgZkzuE8fkPnFYLJot2cdZuCOXhTvyeHNhOq/N30VIoB9DkiIZ3jmK4Z2iaNOyce6T2UdP8fKvO5i+dh9BAX78YVwnfje0Q90Ej9yBPSvhh/vg0HboeTVc8C8I8qCoocHgDkR1gqhHYNgj0qJo+88yv1v6Cix50apoeZFoLCQMcc/SEifjYVfG2nlu5nZOFpXyz0ndbKfg/fYVlBW5T/pkOe0GSsRMa1DqjJBJWs5xFu3M4x8/bKFNy+Z8POW8mmulytkxC1CubZFQkaAIqfXZ+DmM+YfkQVu5uGcsi3fm8dLVve1XmrSFxSI51MljKr2+S2hfXge3tGH92pa+LHWMI/7iGLuchY8vxPaWCJwj2L9WPssRj7lfQbN/c+mrmDYDJjxfyQEb1zWGaUszWbQjj/E9JGpYUFTKkzO2AtIi5Ay5abLa6G7E95ft3lXGgfNifHwUPeLD6BEfxr2jkjl2qoRluyQ6t3BHHjOtPSuTWwefic71bx9OYE3ZAvXgaGExby5IZ9qyTNBw65AO3DOyI+FBHtao+vRxiRKsfkdSI6+fLos9BoOhYYTFiaLlgNulpGTHLJkfrP8YVv8fBLYUheiUi0W8ztXzv0bCqxy4tVlH+GLNXu48P5HkaBtOjtYiiBDbC2J7Nr6BNRHbGzZ8IhL4YXF0str/5Iyt7D96iuGdonj1mj7V9oWrwvZfZHIYXEvD68ak362Serbl20pRmu5xYfx0vwPq9PavhRM54ii6mphe0jMsswEO3PFsmQz0vEZWo9yduFRY+dYZMZ4GMe9p6ac36PeOsc3RdJ0EW74RBz1x+Jnd/du3omULf2ZtOcD4HrGs33OEB7/YwN78Qu4f1ZGh5fU7xSfh6B6JTLsbkZ2kFm7fKsdFUw1uT1hzf8b3iGV8j1i01uzKLTjjzH24PIt3luwm0N+HQYkRVoeuNe0jWtSvVhk4VVzG+8syeXPBLk4UlXJpnzgeHtuJ+FYeOPnaMQt+fEiu2efdCaP+Bs2Ca3+ewWCoGy3Cofe18lNcCOlzJc1y+88ipObjLw3vo3uIOnZMd1F6d7eFYAfgNQ5caZmFv323mdiwQO4fXc2qcfZ6qTu56IXGNc4eYnvJNmcDhMUR3MyPduEt2JNfyD0jk3h4bGf7FfyOZ0sq26jHnWdvfUgYIpPDNe85Z2KY9r18ed0h6ujrJ2mU6XPPRFXrzOIXwFIKwx91vH3OIC4VyorlOxaXWv/X2b1YhGjGPQPN7Ig2u4LkceDfQtIoKzhwfr4+jE6JZvbWA7w6dyevzN1JTGggn98xqLJq7KEdgJYbjbvh4yN1eXurNvQ2NA2UUiRHh5AcHcJtwxIpLC5lZUb+GYdu/oytMGMr7cJbiDPXKYpBSRGV0oaro7TMwldr9/Hyrzs4eLyIUSmtefTCzpWj055CQR7M/BNs/hqiusCUD6SG1GAwOJ+AFqJl0eUS6c2atVTmDgc2S7uOjZ+ePTY0/qxDF2N17lq29+g6b69x4D5ZuYetOcd54/rU6m8ia9+X+qjuVzSqbXYR010aeudslLxe4NnLe1Bm0QxLjqrbay1/XaRYG5K65wzKxUxmPQYHtzhW5l9rSWlLHAHNWzrudRtC5/HSLD53a93HeiQL1n4AfW50r6bdNVEuZJK9rv4OnMUizW1D2kjhv7sS0ELSo9JmiIJWhdYJF3SL5ut1+3hxzg4m9mrDU5O7V21+nbddtlEOEnxxNG0HiALoycOS/mxo0rQI8GNkSmtGWkV4sg6fZJHVmft63T4+WpGFv6+if/vwM+mWnaNDKkXntNbM2nKA52ZtJyPvJKntWvK/a1Nrb4fjjmgt5QCz/iLtQEY8JrW6Dc08MBgM9cPXX+Z/iSPO7jtxEA5uggObxKk7sEnmZNoijwcES3Su3KmL7iEibB6SgukVDlzeiSKen72dYcmRjO9ejWDEiYNywe19rftM8CsSECTRqewNZ3YNTqpH4XNBHqx+F3peBeG2Gwq7lB5XigO3Y6ZjHbiDm+FIJgx92HGv2VA6T5C0mm0/1X2si54Th95d5PPtoWU7SXvcvx7quwi9/kPYvwYmv+U+IkPV0XWyROCylkGHsynA53eKYmKvNozoHMWlfeJsp5jlpkm02F2d866TYOF/YOGz4qAaDBVIiAjixkFB3DioPUWlZazNOiLRue15/PuXbfz7l21Ehzbj/GRx5kID/Xlxzg427D1Kx9bBvH1jX8Z1ja53+qVLOZIp1/X0edD2PLjkVfeMpBsMTZ2QaPmpKGpXckoW1csduoObYeMXUq4CMu+K6Gh16LpDTE9x8IKj3U710iscuFlbDlBUYuHJidUIlwCsfBMsJTD4/sY1ri7E9oaMBQ17jeX/E5GWYY84xCSHE9xavhQZCxxr49Yf5IvXeYLjXrOhhESLIMS2H+uWBnl0L2z4DAbc4VlNLJWSKFx2PYVMCvJgzhOQMLRKw3e3JHmcRPS3fl/JgQv09+XVa/vU/NwzCpRuqpzVugv0v01uan1vcexii8GraObny+CkSAYnRfKX8V04cOw0i3ZKdG7WlgN8tXYfADGhgfzn8h5cnhrv0jYF9cZSJjW+856We82E56HfFI9OwTIYmhz+zc+2KyjHYoGjWWcdugObpIRg89dnjwmKsjp0Pc7+RLhWRdorHLgbBiYwvFMUbcOrCXuePiZRqS4TISKpcY2rC7G94LfP7ZKet8nJw7DqHUmddGf1uMQRsGqqFKA6KlSdNkN6rwXXMd3U2XS5GOb8XZyyljU0667Ib1+ALoOBdznXNmcQlyp1f0UFdS/in/N3Efe4+EW3W+mySbNgUTxN+wHG/6dSGmWt5KVBm1qcPFcz4i+waTr88ie4eYZnfCYGlxMTFshV/dpyVb+2lJZZ2LjvGPuOFHJBtxiHK1g2Ggc2S2uA7HWQfIFco0wTboPBO/DxkWyY8A7QtYII3qkjUu5zJgXzN1nEKSuWx32byWJnjDVSV56OGRjWOGY3yrs0AtU6byCiGUXHYeiDjWdQfWjTW7Y5G+v3/OWvQUmh+6fdJY6UL8Ce5Y55vUM7ZULc1Q3UJ8+lvKH49p/tO15rceDaDYZW7Z1mltNokyr55XU9hzOXSMHx4Ps8q9lt18lQcBD2rrT/OcWFUuPorvVv5bQIFyGkzMUSZTQY6oifrw99E1oxqXecZzpvJadh7lMwdbioxl7+Llz3hXHeDIamQPNW0H4oDLwbJr8Ody2Gx7Lh7mVw6VRpa9C8pai+//IovD9BascbiXo7cEqptkqp+UqpNKXUFqXUA9b94UqpOUqpndZtK8eZWw9KTsOKNyXq4+4r3jE9ZFsfB64wX6Ja3S51/wlwwiDwDYCM+XV73rF9kLFQnJyKpM2QrVX8xa2ISIKoFEmjtIecDaJQ2PMq59rlLOIqCJnYS2kx/Piw1NC5++LDuXS6UM7lHTPtf065AqW7f0/Bmj7ZA2Y/Lo6nwdBUyFoGbw2Fxc9L7fa9q6HHFSYSbTA0ZXz9paSg19VwwTNw0/fwx3R4eBtc91WjtgZqSASuFHhEa90FGAjco5TqCvwZmKu1TgbmWv92HRs/k4zBOrgAABWXSURBVBXyoQ+51Ay7aBYixZMVhEzsZsUbUFzgGRPggCAp/q5rvd+3d8GHE+GLGyTNtJy0HySf2V1XRVMukn5whfm1H/vbl+IQdJvsfLucQXBrkeutS0Pv5a/Boe1SU+Ih6k9naBYsDvqBTfY/p1yBsrWbR+BA0kInPAfH9sKyV11tjcHgfE4fE5GSaeOlnvyGb+DSt7yyj5TBYHAASkFoLHQaJymUjUS9HTitdY7Wep319xNAGhAHTAI+sB72AeC6mailTCYdbfpAh+G1H+8OxPauewTu1BFY+bYox0V3dY5djiZxuEx6C/LsOz5no6RyJY6Q/h6vD4ANn0paS/Z692jeXR0pF0lN287ZNR9XVio1R50ukNC9pxJXByGTI1mw8Dnp49LpAufa5Sxiekh+vL3klStQuqFKrC0SBktd7ZKX5PtmMHgr236G1wdKy6GB98DvV0DH0a62ymAwGKrgkBo4pVR7oA+wEojWWueAOHlAa0e8R71I+wHyM2DIg56T9hDbC47vg5OH7H/Oyrelxs8Tom/lJI6S7e6F9h2//A3wD4IrP4C7lkLrrvDd3fDeeHm8yyXOsdMRxPaRvma1pVFmLICTudDTAxQYayIuVaS2a4s4FhfCt3eKotuFjZc37nCiu8vnVpBr3/F52yXS7q4KlLYY+09Awey/udoSg8HxFOTCV7fA59fK4tmUX+HCf0m2iMFgMLghDXbglFLBwNfAg1rr43V43h1KqTVKqTV5eXZGYeqC1rJiHJ7k3pP7czkjZGJnGmXRCUmfTLn4bA2dJ9Cmtyj12FMHdzxH5FxTb5SC0ciOcMvPMP6/En2M6ene6qI+PpAyAXbNlR4k1fHb5xDYUhpEezJt7KiDKy2GL2+CPStg0v/cN/3VHspTJg7aGYXLTfOM+reKhMVL24+sZXVbXDIY3BmtYf3H8Fp/6dc56nG4YwHE963tmQaDweBSGuTAKaX8EeftE631N9bdB5VSsdbHYwGby9Ja66la635a635RUU6Qfs9YIGl3Q+6vm7y3q4npKVt70yjXfSg5+8PcqIG1Pfj4QofzIX1BVVGSc1n9f2AphfMqyOr7+MB5d8ADG6VGwd1JuUgUQqur+ys6AWk/QvfLwK9Zo5rmcMoXIfavt/14WSl8PQV2zYGJr0p6nicTbXXg7EmjLC6U6KQn1L+dy+D74L41EBTpaksMhoaTvxs+nATf3yPfx7uWShaLX4CrLTMYDIZaaYgKpQLeBdK01i9WeOgH4Gbr7zcDrtGf3jRdIjyelo7WvCW06mCfA1dWCiveEsn5OA9cMUwcIemih9OrP6a4UNpApFwkPTrOJTjK/Xq/2aL9MGgWVn0aZdqPUHoKel7duHY5g8AwaXBpKwJnsUg/pbQf4IJ/Q+pNjW+fo2kRLimy9kTgDu/EYxQoz8U/sNH62xgMTqOsFJb9D94YJGJLF70oGR1RnVxtmcFgMNhNQxp5DwFuBDYppcrz/R4DngW+VEpNAfYAVzbMxHqgtUQ6OgyXSYenEdtLhDlqI+17OLYHxnto/VDiSNlmzJe0SFts/EzSJAfd23h2OQNffxHp2P6LiOucGxX+7QtomSDqnN5AXCqkz4es5RAUJVGbwDCY+Sfp9zbiMRj0e1db6ThiukvDz9rI3SZbd+8BZzB4Izm/yQJSzgboPEGUb8PiXG2VwWAw1Jl6O3Ba6yVAdcogrpVtys+QyM4wD2gdYIvYXrD1O3FcqlMj1BqWvSY1fp3GN659jiI8EcLaibM94Paqj1ssUt/Xpg+0G9jo5jmclItg05dS99V+yNn9x3NEzGXYHzxHbKc2EgaLUzrtwrP7fPwkFXbwfTD8UdfZ5gyiu4nDWlpccwpW3jb5P3iKAqXB4A2UnBK126WvSMT8yveh62Tvud4aDIYmR0MicO5LuTBGeYTH0zgjZLJR0gxtsWe5pKhd9ILUg3kiSkHSCNjyvaS1+J5zOu6cDYd3weXveseNtuNo8G0GM+6HbpeJWElcX9g8HbTFO9Iny0m9GeL6SQ/GwsNwMk9+QuOg/23e8XlWJLo7WEqkn11NYkJ520SB0tTZeD1KqbbAh0AMYAGmaq1fUUqFA18A7YFM4Cqt9RFX2en17F4MMx6A/HTofQOMe8r0dDMYDB6PlzpwC6WZsKeucsfa4cAtew2ah0Ov6xrLKueQOEKEWLLXQ9v+lR9b8bpM+LtOcoVljqdZCFz6prR9WPw8LHrOGmFV4shVl0bqiShlVWdsvKaWLqXcaTuwuXYHzpPUYg0NoRR4RGu9TikVAqxVSs0BbgHmaq2fVUr9Gfgz8CcX2umdHNwCc/8JO2ZCq/Zw43eQ5KGLugaDwXAO3ufAWcpg9yKR1ffUVf4W4ZJaWJ2QyeF02P6zKGYFtGhc2xxNhxGyzVhw1oHTGtLnyec45knP6pdVG90vl5/CfBnjrl8haykM9KJ6sKZIeBL4BdYsZFJySpTvelzVeHYZXIa1D2p5T9QTSqk0IA6YBIywHvYBsABnO3BLXpLFsG6XVc108DaOZML8f8FvX0KzUBj9hCgYe/q90mAwGCrgfVfyA7/B6aOQONzVljSM2J6QXU0vuOWvg2+A7boxTyMoQlonZMyHPjdI3dTGzyRSERQFfW+u/TU8kRbh0OMK+TF4Pr5+EJVSswN3yIMVKA0NQinVHugDrASirc4dWuscpVRrp765pQy2fCfCHfOfgSEPQO/rPb9dybkU5MKi50W12MdXxjnkAZMuaTAYvBIPLZ6qgYyFsu3g4Q5cm96Ss3/6nN7ohfmw4VPoeRUEO/e+32gkjZQGwS91hV+fELXCi1+Ce1dXL+JiMLgbMd0lhbK6voZ5VgVKT+wBZ6g3SqlgpF/qg1rr47UdX+F5dyil1iil1uTl5dXfAB9fuH0+XPOppN3/+BC83FPS8IsK6v+67sLp4zDvGXilN6x+RxYC718PY580zpvBYPBavC8Cl7FAJLpDol1tScMor4M7sKmyYuHqd6VfmKfL6lek59WQuQSSRkGvayEiydUWGQx1J7oHrP9YhFtCYqo+fkaB0pzfTQWllD/ivH2itf7GuvugUirWGn2LBXJtPVdrPRWYCtCvX79qVgXsxMdHVHA7TxDF28UvwOy/Si3ueXdLNoenOTslp8VhW/wCnMqHbpfCyMe9q5bYYDAYqsG7HLiS0yLR3vcWV1vScGJ7yTZrmThsuxdLTVjOBug4FlqnuNY+RxLdDW6f52orDIaGEWMVbDm42bYDl7vNWitnFCibAkopBbwLpGmtX6zw0A/AzUjP1JuB7xvRKBGOShwBe1fDkhdhwb9g2avQ71ZZGLR17roTZaXw2+cw/9/SLihpFIz+u7SbMRgMhiaCdzlw+1aJs+Pp9W8g6ZEhbWD+0/K3jx/E9xfhkv63udY2g8FQlehusj2wGTqOqfp43razxxiaAkOAG4FNSqnygubHEMftS6XUFGAPcKVLrGvbH679TNQal7wktdUrp0Kf66V2rFV7l5hVLVrDth9h7lPSriOuL0x+wzvu9waDwVBHvMuBy1gIyhcShtR+rCcw9p+ymt/hfGlkHRDkaosMBkN1NG8l7UtsCZmUnIYju41oTRNCa70EqE4KeXRj2lIj0d3g8ndgxF+k0fW6j2DtB3KuDn3IPWo2dy+CX/8B+9dCZCe46iPoconnKk0bDAZDA/EyB26BrMoFhrraEsfQ80pctThrMBjqQUx3iWicy4FN0qzdKFAa3JWIJJj4Koz4s0Tj1rwnqsApF8Owh+Xe2thkb4C5T0rLldA4mPia1El7eysEg8FgqAXvUaE8fQyy11Xf+NpgMBicTXR3OLQDSovO7tMa5j0l6qqJppGwwc0JbQMXPAMPbobhf4LMxfB/o+DDyVKLXZ3KqiM5nA5f3QpTh0P2ehj3DNy3DlJvNM6bwWAw4E0RuMwlssJt8uENBoOriO4GllKpdysXItr2oyj/jX/O85T+DE2XoAgY+ZgIm6ydJm0HPrhYarGHPQKdLnR8CuPxHFj4H1j3ofSpO/+PMPg+WfwwGAwGwxm8x4HLWAj+LeTmYjAYDK4gpodsD2wWB67kFMx6TFqb9JviWtsMhvoQGCqiJgPugA2fwJJX4LNroHU3Sa3sOrnhUbFTR2DJy7DybVkA6T9FnDdv6XVqMBgMDsaLHLgF0G6QrNoZDAaDKwhPBL/mZ+vglr0GR/fATT+Y1C+DZ+PfXBSQU2+GzV/D4hfh6ykw72kY+qDUptX1/ltcCKveFhXM08eh51UiphLewTljMBgMBi/BO2rgjueIrHDiCFdbYjAYmjI+vhDdFQ5ugmP7pMlwl4kmtdvgPfj6Q69r4PcrRA0yMAxmPACv9BLxk+KTtb9GWYmIpLzaR9Ql2w6Eu5bAZVON82YwGAx24B1LwrsXytZMkgwGg6uJ7gZpP8LsvwEaxj3taosMBsfj4wNdJ4qcf/o8icjNegwWPQ8D74YBt0trjYpYLLD1W4na5WeI43blNEgY7JoxGAwGg4fiHRG4uL4w+u8Q3cPVlhgMhqZOdA84lQ9bvoEhD0KrBFdbZDA4D6Wg42i49Sf43WxoOwDmPwMvdYc5f4cTB0W5ctevoio5/XfgFwjXfgG/m2mcN4PBYKgH3hGBi0wWVSyDwWBwNTHdZRsaL+IPBkNTod15cN0X0vdwyUuw7H+w4i1onQI5G6FlO7h0qjQJ9/F1tbUGg8HgsXiHA2cwGAzuQmwviOkJox6HgBautsZgaHxiesAV78HIv8LSl2HvKmmj0fcWIzRmMBgMDsApDpxS6kLgFcAXeEdr/awz3sdgMBjcjoAguGuxq60wGFxPRBJM/J+rrTAYDAavw+E1cEopX+B1YDzQFbhWKdXV0e9jMBgMBoPBYDAYDE0NZ4iYDAB2aa0ztNbFwOfAJCe8j8FgMBgMBoPBYDA0KZzhwMUBeyv8vc+6z2AwGAwGg8FgMBgMDcAZDpyysU9XOUipO5RSa5RSa/Ly8pxghsFgMBgMBoPBYDB4F84QMdkHtK3wdzyQfe5BWuupwFQApVSeUiqrge8bCRxq4Gu4GjMG98DTx+Dp9oMZgzvgTPtNc7w6sHbt2kPmHtkgzNibJk117E113OAdY7fr/qi0rhIcaxBKKT9gBzAa2A+sBq7TWm9x6BtVfd81Wut+znwPZ2PG4B54+hg83X4wY3AHPN1+Q2Wa8udpxm7G3pRoquOGpjV2h0fgtNalSql7gVlIG4H3nO28GQwGg8FgMBgMBkNTwCl94LTWPwM/O+O1DQaDwWAwGAwGg6Gp4gwRE1cx1dUGOAAzBvfA08fg6faDGYM74On2GyrTlD9PM/amSVMde1MdNzShsTu8Bs5gMBgMBoPBYDAYDM7BmyJwBoPBYDAYDAaDweDVeIUDp5S6UCm1XSm1Syn1Z1fbYw9KqfeUUrlKqc0V9oUrpeYopXZat61caWNNKKXaKqXmK6XSlFJblFIPWPd70hgClVKrlFIbrWN40rq/g1JqpXUMXyilAlxta00opXyVUuuVUj9a//Y0+zOVUpuUUhuUUmus+zzmPAJQSrVUSk1XSm2zficGedIYlFKdrf//8p/jSqkHPWkMBtt44v3REVR3j2pKnHtvaCrYuh672qbGQin1kPV836yU+kwpFehqm5yFp8+jG4rHO3BKKV/gdWA80BW4VinV1bVW2cX7wIXn7PszMFdrnQzMtf7trpQCj2ituwADgXus/3dPGkMRMEpr3QvoDVyolBoI/Ad4yTqGI8AUF9poDw8AaRX+9jT7AUZqrXtXkP/1pPMI4BVgptY6BeiFfB4eMwat9Xbr/7830BcoBL7Fg8ZgqIoH3x8dQXX3qKbEufeGpoKt67HXo5SKA+4H+mmtuyNK8Ne41iqn8j6ePY9uEB7vwAEDgF1a6wytdTHwOTDJxTbVitZ6EZB/zu5JwAfW3z8AJjeqUXVAa52jtV5n/f0EcoGMw7PGoLXWBdY//a0/GhgFTLfud+sxKKXigYuAd6x/KzzI/hrwmPNIKRUKnA+8C6C1LtZaH8WDxnAOo4F0rXUWnjsGg+CR90dHUMM9qklw7r2hqVDD9bip4Ac0V9KTuQWQ7WJ7nIanz6Mbijc4cHHA3gp/78NzL9LRWusckJsP0NrF9tiFUqo90AdYiYeNwZpisgHIBeYA6cBRrXWp9RB3P59eBh4FLNa/I/As+0Gc5tlKqbVKqTus+zzpPEoE8oBp1nSld5RSQXjWGCpyDfCZ9XdPHYNB8Kb7Y7055x7VVDj33tBUqO567PVorfcDzwN7gBzgmNZ6tmutanSazD3LGxw4ZWOfkdZsJJRSwcDXwINa6+OutqeuaK3LrGlj8chqdRdbhzWuVfahlLoYyNVar62428ahbml/BYZorVORNK97lFLnu9qgOuIHpAJvaq37ACfx0LQNa73kROArV9ticAieeD1wKJ5+j6oP1dwbmgpecz2uK9Z6r0lAB6ANEKSUusG1VhmchTc4cPuAthX+jsdzQ8YHlVKxANZtrovtqRGllD9yY/xEa/2NdbdHjaEca4rFAqRWoqU1/QDc+3waAkxUSmUiqVGjkFVXT7EfAK11tnWbi9RdDcCzzqN9wD6tdfnq/nRkAuFJYyhnPLBOa33Q+rcnjsFwFm+6P9aZau5RTYEq9wal1MeuNanRqO563BQYA+zWWudprUuAb4DBLrapsWky9yxvcOBWA8lW5b0AJP3nBxfbVF9+AG62/n4z8L0LbakRa63Vu0Ca1vrFCg950hiilFItrb83Ry5+acB84ArrYW47Bq31X7TW8Vrr9sh5P09rfT0eYj+AUipIKRVS/jswDtiMB51HWusDwF6lVGfrrtHAVjxoDBW4lrPpk+CZYzCcxZvuj3WihnuU11PNvaFJRGJquB43BfYAA5VSLazn/2iaiIBLBZrMPcsrGnkrpSYgkQdf4D2t9TMuNqlWlFKfASOASOAg8ATwHfAl0A75Il6ptT63QNMtUEoNBRYDmzibY/8YUmPgKWPoiRS5+iKLGV9qrf+plEpEVi3DgfXADVrrItdZWjtKqRHAH7TWF3uS/VZbv7X+6Qd8qrV+RikVgYecRwBKqd6IWEAAkAHcivWcwnPG0AKpl0rUWh+z7vOoz8FQFU+8PzqC6u5RWuufXWdV41Px3uBqWxoLW9djrfUR11rVOChph3Q1osK6HrjNXe//DcXT59ENxSscOIPBYDAYDAaDwWBoCnhDCqXBYDAYDAaDwWAwNAmMA2cwGAwGg8FgMBgMHoJx4AwGg8FgMBgMBoPBQzAOnMFgMBgMBoPBYDB4CMaBMxgMBoPBYDAYDAYPwThwBoPBYDAYDAaDweAhGAfOYDAYDAaDwWAwGDwE48AZDAaDwWAwGAwGg4fw/0nb6Uyx08YWAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"months = ['Jan.','Feb.','Mar.','Apr.','May','Jun.','Jul.','Aug.','Sep.','Oct.','Nov.','Dec.']\n",
"train = [ np.zeros((0,2)), np.zeros((0,2)) ] # train[y] is a 0x2 matrix\n",
"test = [ np.zeros((0,2)), np.zeros((0,2)) ] # test[y] is a 0x2 matrix\n",
"\n",
"for city in [0,1]:\n",
" for a in rawdata[city]:\n",
" if a[1] in months and a[2][0].isdigit() and float(a[2])>-99: # row gives one month, with temperature > -99\n",
" if len(test[city]) < 12: # first twelve valid lines (first year's data) are the test data\n",
" test[city] = np.vstack((test[city],[float(a[2]),float(a[3])]))\n",
" elif len(train[city]) < 72: # next six years as training data\n",
" train[city] = np.vstack((train[city],[float(a[2]),float(a[3])]))\n",
" \n",
"fig, axs = plt.subplots(2,2,figsize=(15,5))\n",
"for city in [0,1]: \n",
" axs[city,0].plot(train[city])\n",
" axs[city,0].set_title('Train Data for %s'%cities[city])\n",
" axs[city,1].plot(test[city])\n",
" axs[city,1].set_title('Test Data for %s'%cities[city])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Obviously, in any given season, Carbondale is warmer than Waukegan. Obviously, though, the two distributions overlap. If we have temperature measurements for a \"mystery city\" and want to know which city it is, then we need to know not just the average temperature --- we need to know the average temperature for each season. Suppose somebody gives us those averages, as follows:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"all_means = np.array([[[48,28],[78,56],[87,63],[58,35]],[[36,19],[65,43],[77,57],[46,29]]])\n",
"fig, axs = plt.subplots(1,2,figsize=(15,5))\n",
"for city in [0,1]:\n",
" axs[city].scatter(all_means[city,:,0],all_means[city,:,1])\n",
" axs[city].set_title('Seasonal Low vs High Temp, Averages for %s' % cities[city])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So that's not quite enough. It will be more useful if somebody gives us the covariances. Here they are."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"all_covariances = np.array([[[[1323,1093],[1093,956]],\n",
" [[1111,1182],[1182,1319]],\n",
" [[475,436],[436,523]],\n",
" [[120,76],[76,55]]],\n",
" [[[959,963],[963,1110]],\n",
" [[1339,1089],[1089,948]],\n",
" [[422,273],[273,280]],\n",
" [[146,130],[130,119]]]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The only useful way to plot covariances is by plotting the principal components."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Find the principal component directions and variances of each Gaussia\n",
"Lambda, V = np.linalg.eig(all_covariances)\n",
"\n",
"# Let's show the mean vectors plus/minus each variance-scaled principal component direction\n",
"fig, axs = plt.subplots(1,2,figsize=(15,5))\n",
"for c in [0,1]: # city\n",
" for s in [0,2]: # pick out just two of the seasons: summer and winter\n",
" for m in [0,1]: # principal component direction\n",
" x0 = all_means[c,s,0]+np.sqrt(Lambda[c,s,m])*np.array([-V[c,s,0,m],V[c,s,0,m]])\n",
" x1 = all_means[c,s,1]+np.sqrt(Lambda[c,s,m])*np.array([-V[c,s,1,m],V[c,s,1,m]])\n",
" axs[c].plot(x0,x1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now somebody needs to give us the transition probabilities. We know that each year starts in Winter, then transitions (roughly) once every three months, and ends at the end of autumn (on December 21, which we'll call the end of the year). So the probability of transitioning out of a season is roughly 1/3, and the probability of staying in a season is roughly 2/3."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0.66666667, 0.33333333, 0. , 0. ],\n",
" [0. , 0.66666667, 0.33333333, 0. ],\n",
" [0. , 0. , 0.66666667, 0.33333333],\n",
" [0. , 0. , 0. , 1. ]])"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A = np.array([[2/3,1/3,0,0],[0,2/3,1/3,0],[0,0,2/3,1/3],[0,0,0,1]])\n",
"A"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Similarly, we know that every year starts in winter, so we can set the initial residence probabilities, pi, to be 1.0 for winter, and 0.0 for any other season."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1, 0, 0, 0])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pi = np.array([1,0,0,0])\n",
"pi"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's define a function to calculate the Gaussian probability, given a mean and a covariance matrix."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def gaussian(x,m,S):\n",
" det = np.linalg.det(S)\n",
" mahalanobis_squared = (x-m).dot(np.linalg.inv(S).dot(x-m))\n",
" return( np.exp(-0.5*mahalanobis_squared) / det)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For example, for each month in the test data, for Carbondale, let's calculate the log probability that the given month occurred in any given season."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"B = np.zeros((12,4)) # B[i,t] = log probability that month t, of the test data, occurred in season i\n",
"for t in range(0,12):\n",
" for i in range(0,4):\n",
" B[t,i]=np.log(gaussian(test[0][t,:],all_means[0,i,:],all_covariances[0,i,:,:]))\n",
"fig,axs=plt.subplots(1,1,figsize=(15,5))\n",
"axs.plot(B)\n",
"axs.legend(('Winter','Spring','Summer','Fall'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OK, the low covariance of autumn temperatures may cause some trouble later on... \n",
"\n",
"Let's write a function that will implement the forward algorithm. Given a full set of HMM parameters, it will compute the scaled alpha parameters, and the Gain terms, G."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"def compute_alpha_and_G(X, A, pi, means, covariances):\n",
" T = len(X[:,0])\n",
" N = len(pi)\n",
" alpha = np.zeros((T,N))\n",
" G = np.zeros((T))\n",
" sum_of_log_G = np.zeros((T))\n",
" #############################\n",
" # First frame\n",
" for i in range(0,N):\n",
" alpha[0,i] = pi[i]*gaussian(X[0,:],means[i,:],covariances[i,:,:])\n",
" G[0] = np.sum(alpha[0,:])\n",
" alpha[0,:] /= G[0]\n",
" sum_of_log_G[0] = np.log(G[0])\n",
" ################################\n",
" # All of the other frames\n",
" for t in range(1,T):\n",
" for j in range(0,N):\n",
" for i in range(0,N):\n",
" alpha[t][j] += alpha[t-1][i]*A[i,j]*gaussian(X[t,:],means[j,:],covariances[j,:,:])\n",
" G[t] = np.sum(alpha[t,:])\n",
" alpha[t,:] /= G[t]\n",
" sum_of_log_G[t] = sum_of_log_G[t-1] + np.log(G[t])\n",
" return alpha,G,sum_of_log_G"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, let's test it by finding the probabilities for the Carbondale, given the Carbondale model."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"alpha,G,sum_of_log_G = compute_alpha_and_G(test[0],A,pi,all_means[0],all_covariances[0])\n",
"fig,axs=plt.subplots(2,1,figsize=(15,10))\n",
"axs[0].plot(sum_of_log_G)\n",
"axs[0].set_title('Total log prob of Carbondale data, according to Carbondale model, as a function of month')\n",
"axs[1].plot(alpha)\n",
"axs[1].set_title('Normalized probability of each season, for each month of Carbondale data')\n",
"axs[1].legend(('Winter','Spring','Summer','Fall'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Testing\n",
"Now, for each of the two test tokens, let's find out how probable it is, according to each of the two possible city models."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"alphas = [0,0]\n",
"G_scores = [0,0]\n",
"prob_scores = [0,0]\n",
"for ref in [0,1]: # reference label (the city the data really came from)\n",
" alphas[ref]=[0,0]\n",
" G_scores[ref]=[0,0]\n",
" prob_scores[ref]=[0,0]\n",
" X = test[ref]\n",
" for hyp in [0,1]: # hypothesis (the model we are testing, to see how well it matches the data)\n",
" means = all_means[hyp]\n",
" covariances = all_covariances[hyp]\n",
" alphas[ref][hyp],G_scores[ref][hyp],prob_scores[ref][hyp]=compute_alpha_and_G(X,A,pi,means,covariances)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axs=plt.subplots(2,1,figsize=(15,10))\n",
"for ref in [0,1]:\n",
" axs[ref].plot(np.linspace(0,11,12),prob_scores[ref][0],np.linspace(0,11,12),prob_scores[ref][1])\n",
" axs[ref].set_title('Log Probabilities of the two Models, for Data from %s' % cities[ref])\n",
" axs[ref].legend(('Carbondale Model','Waukegan Model'))\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}