{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# TCTC \n", "\n", "## Backgorund\n", "\n", "TCTC stands for *Temporal Communities by Trajectory Clustering*. \n", "It is an algorithm designed to find temporal communities on time series data.\n", "\n", "The kind of data needed for TCTC are: \n", "\n", "1. Multiple time series. \n", "2. The time series are from nodes in a network. \n", "\n", "Most community detection requires to first create an \"edge inference\" step where the edges of the different nodes are first calculated. \n", "\n", "TCTC first finds clusters of trajectories in the time series without inferring edges. A trajectory is a time series moving through some space. \n", "Trajectory clustering tries to group together nodes that have similar paths through a space. \n", "\n", "The hyperparameters of TCTC dictate what type of trajectory is found in the data. There are four hyperparameters: \n", "\n", "1. A maximum distance parameter ($\\epsilon$). The distance between all nodes part of the same trajectory must be $\\epsilon$ or lower. \n", "2. A minimum size parameter ($\\sigma$). All trajectories must include at least $\\sigma$ many nodes. \n", "3. A minimum time parameter ($\\tau$). All trajectories must persist for $\\tau$ time-points. \n", "4. A tolerance parameter ($\\kappa$). $\\kappa$ consecutive \"exception\" time-points can exist before the trajectory ends. \n", "\n", "## Outline\n", "\n", "This example shows only how TCTC is run and how the different hyperparameters effect the community detection. \n", "These hyperparameters can be trained (saved for another example).\n", "\n", "## Read more\n", "\n", "TCTC is outlined in more detail in [this article](https://www.biorxiv.org/content/10.1101/617027v1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## TCTC - example\n", "\n", "We will start by generating some data and importing everything we need. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Failed to import duecredit due to No module named 'duecredit'\n", "/home/william/anaconda3/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: numpy.ufunc size changed, may indicate binary incompatibility. Expected 216, got 192\n", " return f(*args, **kwds)\n", "/home/william/anaconda3/lib/python3.6/importlib/_bootstrap.py:219: ImportWarning: can't resolve package from __spec__ or __package__, falling back on __name__ and __path__\n", " return f(*args, **kwds)\n", "/home/william/anaconda3/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: numpy.ufunc size changed, may indicate binary incompatibility. Expected 192 from C header, got 216 from PyObject\n", " return f(*args, **kwds)\n" ] } ], "source": [ "%matplotlib inline\n", "import numpy as np \n", "import matplotlib.pyplot as plt\n", "from teneto.communitydetection import tctc \n", "import pandas as pd\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data = np.array([[0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1], \n", " [0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1], \n", " [1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0], [-1, 0, 1, 1, 0, -1, 0, -1, 0, 2, 1, 0, -1]], dtype=float)\n", "data = data.transpose()\n", "np.random.seed(2019)\n", "data += np.random.uniform(-0.2, 0.2, data.shape)\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(13, 4)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Lets have a look at the data\n", "fig, ax = plt.subplots(1)\n", "p = ax.plot(data)\n", "ax.legend(p, [0,1,2,3])\n", "ax.set_xlabel('time')\n", "ax.set_ylabel('amplitude')\n", "print(data.shape)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "There are two different outputs that TCTC can produce. \n", "TCTC allows for multilabel communities (i.e. the same node can belong to multiple communities).\n", "The output of TCTC can either be: \n", "\n", "1. As a binary array (dimensions: node,node,time) where each 1 designates that two nodes are in the same community. \n", "2. As a dataframe where each row is a community. \n", "\n", "The default output is option one. \n", "\n", "So let us run TCTC on the data we have above. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(4, 4, 13)\n" ] } ], "source": [ "parameters = {\n", " 'epsilon': 0.5,\n", " 'tau': 3,\n", " 'sigma': 2,\n", " 'kappa': 0\n", "}\n", "tctc_array = tctc(data, **parameters)\n", "print(tctc_array.shape)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For now ignore the values in the \"parameters\" dictionary, we will go through that later. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to get the dataframe output, just add output='df'." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " community start end size length\n", "0 [0, 1] 0 7 2.0 7\n", "1 [2, 3] 1 4 2.0 3\n", "2 [0, 1, 2] 4 7 3.0 3\n", "3 [0, 2] 4 11 2.0 7\n", "5 [2, 3] 9 12 2.0 3\n" ] } ], "source": [ "parameters = {\n", " 'epsilon': 0.5,\n", " 'tau': 3,\n", " 'sigma': 2,\n", " 'kappa': 0\n", "}\n", "tctc_df = tctc(data, **parameters, output='df')\n", "print(tctc_df.head())\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can see when the different communities start, end, the size, and the length. \n", "\n", "Below we define a function which plots each community on the original data. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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HI2Wt0YVNOBwGSPnt6IvJZMJkMv1i//ZLJBJBVVUKCgqIxWI0NjaiKAplZWUZW6A6i450gx4PTAVWCCG+Se67UUr5Tgee08Bgh9y/5H7mV85nn9wpfLx4IHP3Xob5xzDsd0lW6s8JJCiet4Tc44+n6fQ8Hnv1ZS599zMm1m5h+eGXcstbKxnTJ59Bpbk7rkQIKBmiLQdfqQ0ZCXMqZk1r2NQcZspznyFthcz57XjK853UFFZgn3suntdOZF3wSfofcGI7rtjAYM9HSpkaTgJNPNhsttRwTjZQFAW73U5hYSHhcBi/34/X6yUnJwdFUfD7/Xg8np1aQ4QQKb8Zvd1ttZ5Eo1Gi0SgOh4PcXK2/MpvN1NXVsWnTJnr27Llb+eV0mKySUi6SUgop5d5SyjHJxRAxBl3C86ufZ9bqWexfdCIfLx7JlP17s1/9m9B7f+i5d1bO0fD0M8holJLLr+DmA29mwJRLuPNMgX9jJVe/+VeG+6u5cs4yInEl80rN1jaJGG8ozoXPfkUwmuC5i/anPF97ciwbfjDRC99jiyilz7zzqX7/sVbXbWDwa0EXMYqipCwVTqcTKSV2e3Yc86WUhEIhzGYzDoeDvLw88vLyUBSFYDCYmgGlW1gypa0iRnditlgsKREDkJeXR48ePYhGo2zatCnluLw7sHvZhwwMOoD5lfO5d/G9jC0+lE8+H89BA4q5bVQ9ovFn2D871phEQwNNc+bgOeF47AP6I4TgqrFXccxpV3P9eZJmgtz+wcMULPucO//bsREIInGFS55fwrr6IDPPH8uwntuO4Zf32wv7tAUsNo2m/JPrqXvjWkg+bRoYGGwlEAiQSCQwm81IKVMWEgCHIzvxoGKxGKqq4nK5AM3i4/F4cLvdqRlLsViMYDBIPB7Pyjl3RCKRwO/3YzabU7Fx0nG73ZSVlRGPx9m0aROxWKxD25MphpAx2KPRA94NK9ybFd8cT898F49O2RfLkqc1P5PhJ2flPA1PPY2MxSi+7LJt9v921G+5+IQ/86cpCWrKLNyyeBaBF15g3rebsnLe7VFVydVzv+GrdY38/cwxHDywuMVyfXr2oPyyf/O6eSIl387EN+tszenYwMAA0ALexWIxLBZLaujHZrMRjUax2+1ZcXrVrTH6dGwdIQQej4fc3FxMJlOqXHNzc2qIK9vofkD6uXfkB5OTk0PPnj1RFIXNmze32lLUERhCxmCPRQ941yu3N83rziMWs/D0BeMoiG+BH+fB2AuyErclUV9P00svkXfiCdj79//F+2cOOZMbJ/2NG89KsHqkm0tX/psfbvx/bKj1tVBb25FScvt/VvPOihpuPn4YJ43utdPyFSUe9rvsGR60XEzu+vcIP3Ec+DZntU0GBt0RPeCd2WxO5VHKyclJzeDJljUmGo2iqmqLTsNCCNxuNzk5Oakp1T6fj6ampqycOx1VVfH5fEgpcbvdu3TmdTqd9OzZE4Da2loCgUDW29QaMhIyQoi9hBDvCyFWJl/vLYS4uWObZmDQdmqCNVy28DIcFgdFvstZs1nh4XP3YVCpG5Y8oxUae1FWztXw9DMtWmPSmdR/Evce9xD3nJTgg0PzOe6nRSyb+luiPn9W2gDw5Cdree6zSn57SH9+d2hm+Z0qinM47bK7uN56A7L+R+Izj4SaFVlrk4FBdyMajaZ8VlRVxWQykZubm5rJY7FYspIuQEpJOBz+hTUmnXQx43Q6MZvNNDU1ZVXMSCnx+/0oioLb7c742hwOBz169MBkMtHQ0JASQl1BphaZJ4EbgDiAlPJb4OyOapSBQXvwxXxctvAyAvEAB7j+xEffKdx8/HCOGFIKiSgsmw1DfgP5fdp9rkRdXdIacyK2fv12Wvaw3ofx2ISZPH+k5PkT8hm0YRVfnzKZeE1Nu9vxr2+qufud7zl+757c9JthrTq2osjFldNncLntLzQGoyhPHwc/vtfuNhkYdDd0R1fdJwZIDbPoviydYY3ZnpycHHJyclLOtw0NDXi93qwIB90PKDc3t9WzsBwOB6WlpVitVpqamjp06GtnZCpkXFLKr7bbt/u4LBsYJIkpMa768CoqvZVM7n0TLy1SOWf/Plw0vp9WYNVbEKqH/X6blfM1PP0MMh6n+LLpGZUfVzaOp497mkXjrNx3Vi7W2s38cNpkwqtWtbkNn/5Uzx9fXc4B/Qu5/8zRmEytH7uvKHJx+6XnMM1+Lz/ES5EvnQVfPtHmNhkYdDfSHV2FEKiqitvtTk0zjkQiCCF2aD1pDZlYY7bH5XKRk5NDfn4+qqpSX1/fbjGj+wG5XK42z8Ky2+0UFRVht9vx+/00Nzd3+oymTIVMvRBiICABhBBnkEwIaWCwu6BKlZsX3czimsVcPPR6Zr5n4YD+hdx20sitjnmLn4SiQdD/iHafL1FXR9PLL2dkjUlnRNEInpv0HFUjPPz5fAtN0SiV503F/8GHrW7D6k0+pj+/lP7FOTxx/jjslrbHdqgocvHwtN8ww343/5P7wrw/wTvXgtqK6eIGBt2QdEdXi8VCIpFI+aaAFuclHo/jcDiy4uTbGmtMOk6nk9zc3NT0bK/Xi9frbZMVRPcDcjgc7QrsB5qYKSgowOFwEAgEUokvO4tMhcwVwExgqBCiGrgK2LFDgIFBF3D/kvuZVzmPi4dfwaz3iijzOHj8vLHYLMmf+aZvYONi2O93bYrNsj0NTz3dKmtMOgPyBvD8pNnE+5dyw4VxNno8bLzyShpnP59xHRubQlz47FfkOizMunh/8pztD85VUeTi2WlH8Gf79czmBPhqJrx0jpYOwcBgD0SPFSOl3GZWUvoQUjadfNtijUnH4XCQn5+fcj4OBoN4vd5WWUF0PyCbzbZNLqf2YLfbycvLw+l0Eg6H8fl8qXxUHU1GvbmUcq2U8higBBgqpTxESlnZoS0zMGgFesC7MwafxXufDScaV7QZSjlpHcXip8DqgtHntPt88dpazRpz0knY+vZtUx29cnsx54TncZRWcP2UJiqHDWTL3XdTc+ddSGXnVpDmUIwLn11MOK7w3EX70zOvfU9U6VQUuXhx2nhmOn7LneIS5E8L4ZmJ4N2YtXMYGOwOpDu6Op1OIpFIaoZSeplIJJKK5tte2mqNScdut1NSUoLdbiccDhOLxfD5fBlZQXQ/IKvVuk3Au2xgt9vxeDw4HA5isRiBQCAV1K8j2em3IoS4On0BLgUuSXttYNDlvFv5Lvcuvpej+hxN9U/H8kONn4fP3YfBPdxbC4WbYMVrsPeZ4Mxv9zkbn34amUi0yRqTTrGzmNdPmY3TMZDrjl/HuuMOoOmFF9h4xZWowZbjukTiCr+btYQNDSGePH8cQ8rcLZZrDxVFLl665EDm2X/D5dyA0rgenjwKqpdl/VwGBl1FIBAgHo/jcrkIh8PbzFDSicViSCl3C2tMOjabjbKyMsxmM6FQKCXKdmYF2VXAu2xgt9txu93Y7XYSiUQq5UJHipldyUt3chmHNpRUnlymA/t2WKt+pUgpCa9YSd1DDxP84suubk63YHHNYm745AbGlI6hZ+xi3ltdx036DKV0vn4REmFtWKmdaNaYV8g7+WRsFRXtri/Pnsebp8/CkhjKdfsuZc3FEwh8/DGVU6cS37Jlm7KKKrnq5W9YuqGJ+88azYEDitp9/h2hi5lv7WM5M3ErMazw7G/gu/902DkN2oYeATYUCnXJrJHuiO7o6nQ6U0NHLQWC0+PJZCOvUjasMenY7XbKyspSAfNMJhPBYJBgCw9Bes4mPeBdR2axttvtqVlQ+m+zrb48mbBTISOlvE1KeRvQG9hXSnmNlPIaYCzQ/h7cAKkohBYvpubuu/npqKOpnDyZ+kcfpeqyywivbPtMlj2ZulAd//rpX1z78bVc8f4V9Hb3ZlLJDTz+vyrO3q8PF+szlHRUVRtW6nMglI1q9/kbnnpKs8ZMv7TddemU5Lh5etKjKP5R3NTjQ7754yTileupPPMsomvXAtrN6ra3VzF/VQ23HD+cE/beecC7bKCLmRr7ACYG/x+hwqHwynnw6UNapm6DLkNKSTQaxe/309jYiN/v75Sn3+6MbiHwer0pR1dFUVAUhdzc3F8kQkwkEiQSid3OGpOO0+mkpKSEeDxONBrFbDYTiUS2+R3ozsxSyp1G7c0mupjRM20ritJhM5oyjerTA0gffIsl9xm0ATUWI/TFF/gXLMT//vsojY0Im42cQw7B/X//h3PUSKqmXUrVZdPp/8orWHt1/A1rdyauxPm69ms+3fQpn1Z/yg9NPwBQ5ChiQt8JHFE6lStmr+OA/oXcfvLIXz5p/PwBNK2Do9ofwzFeW0vzK3OzZo1JZ58+JVwz5nb+tvQu7s5/l+k3TGTCA59R/fur6Pfaq8z8fCOzP1/PtMMGcPEhv4wg3FHoYuacJ7/gyLpreK//S+T9OB8OvExLamnQaaiqmsq9o+fdMZlMOBwObDYbqqoSCAQIBAK43dkfcuxuqKpKPB5PLbpFwGw2p6wi+vTjlsSFPuU6GwkidWtMtpxr08nNzSWRSOD1ejGbzdjtdmKxGOFwGKfTmfID8ng8nZq1Wv/cAoFAKtVCPB7PSkDBdDKtbTbwlRDizeTrU4BZWW1Jhiiqwt8W/41j+x3L2B5ju6IJbUINhQh8sgj/ggUE/vc/1EAAU04OuYcfjvvYCeQeeiimtB94n5mPU3nuFKounU7fOS9i7oxOSUpQYlrQuNQ6qq0TUbA4oHgwmDr+j1Dlq0oJl69qviKUCGERFsaUjuH3+/6e8b3GM6RwCDXeKCc/8illHgePpc9QSmfxk5BTCsNOane7Gp58Kiu+MTvi4vED+fzny/m08VkeZz6ctz9HPfQZn11/O/fYD+ak0b24fuLQDjn3zkgXM0dUns+LF+zN8G4mYlRVJRgM/sIHYndHFy/RaDT1NKuLF7vd/oubgqqqhEIhgsFgh9w0W2yjlMSVBAmpElMSxBWFhFRT+wrsLgqd2XUsbQkpJYlEIiVc9M9LCIHVasVms2G1WjGZTESjUQKBAHa7vcWhHlVVs5ZXqaOsMTpCiNSU7FAolMrUrU+x1lMPZGN4rLWkixmLxZK1gILpZCRkpJR3CSHmAYcmd10kpfw6663JgEA8wOebP+ffP/+bZ457hmFFrYti2lGoUqU2VEuxsxiLSftYFa+XwP/+h2/BAoKfLEJGo5jz83FPPA7PhAm4DjoI0w5+1PbBg+n90D/YcMk0qn9/FX1mPo5o7Y/QWw3v3w7BupaFSUuiZRdEhIP19r1YZx/COttQfrINpcFcgopASomUIJGoanItAal1dJLkWoIQYBICk9D+hFJECJt+JGBahd+0ipio1T4HWUyeOIA+jCSf4dganHzdKFi+MoJJLGfFRi/hmMKLvzuAwpwWPsum9fDju3DYH8HSvg4kvqWW5ldeIe+Uk7H1aX9U4JYQQnDf5NFM+sdpKAEPj+f+l/zxfdh33hucd3p/bpk8sU0B77JBupi5dO73fHBNGVZz90nXpihKanZHR/sItAbtfyO3MffrbY3FYqmbsW5FsNlsO32idTqdqKqa8u1oy43j69r1fLL5J2KqJkgSqkpCatuKqmr79EVVUdn1UJZFmHCYLNpituK0WDAJEzL5GYDWZ+ivW94Px5XtxV7ukm0+v3Thoh9jsViwWq1YrdbU56V/pvq2xWLZodjL5pTrjrTG6OhZs0GbmWS1WgkEAkgpKSsr6xABlSnpYiYUCmX9c8hIyAghKoB64M30fVLKDVltTQbk2fN4YsITTJ03lekLpzN70mz6eto2/TVbhOIhLlt4Gctql1EUNHP0ejf7/aDQZ00zJkWiFOdjPvEYevzmJAr2PxiRoVkt56CD6HnbbWy+6SZqbr+dsttvz7zzbVwHs0+CYAOUDgWzHWwuMBdoiRItdm2fxZZc24lhpSakstGnssGbYG1TgrowxLCimKz0zVUYpv7M0PiPHB15E2syuHOTyGeNdQhrrHvxk2UI62x7ETRrHvECMJkEFiEwCYHefIkkLDfSLFbiN60iKNaAUBDShlMZgls5Emd8OCa1GKkKAlLilyqqDKTEkColVrOJR6fsy149dmCxWvIMCFNW8io1PPUUUlUpnt4x1hidfJdV/a8wAAAgAElEQVSNh8/Zl7OeiDFgkJ2/H/Q6f/vOxdSPZmP2nw4FBR16/p1RUeTi5WkH0hiMdSsRA6SmmwYCAfx+f4fN2mgNiUQiFcNEVVUSiQSKoiClxGw2Y7PZcDgcOByOVpnjXS4XiqIQDAYxmUytuoktql7Di2uX4LbaybM6sAgTTosVq7BjNpmwCrO2NpmxCG0dVxL44hG8sQjN8TDeeAQlKW5swoTNZCEhFcJKnIASSya7AQsCm8mMzWTBbtZEjm5N0PoOEwLQXmlC3yxM21hdlGSoApPJlBIvFotlm+9W2S6cgZQy9XvY0W8gW3mVOtoak47NZttmyCwWi2G1Wn9x/V2BbtnqCKuQyMQpTAixAlKS2wn0B36QUo7IZmPGjRsnlyxZklHZdd51XDj/QhxmB7MmzaIspyybTckYXcTwxTKmf1NK3o+bEBIaim18NcTEx4PirO0JMvlnKXIU0dvdmz7uPqlFf13kKGrxT1X74IM0PD6TkquvpnjaJbtsk9zyHYnnTyGuRomfOZtwyV6EEiHCiTChuLYOxsNUNjbyc10T65uaqPZ6aQz7kSKOMEVx2VVynSoOewKrJYFKlLgawyRM2oLArCYQiSimRBRTPKytARMSs9mBsOVgsru1xebGZLZgQnP8WtO0hrpwHQCDCwYzvtd4xpePZ9/SfbGZs/Rnj0fg/mHQbzyc9UL7qtqyhZ8nHIvnpBPpdeed2WnfLnjkw5+4990fKOq9gJ6hhdwzS5J31FGUP/RQl9+AW4MQYqmUclxH1d+afgO0G1QwGEw5I3YVuk9DNBpFCEEikUglKdRnyaRbafT9+jp9u6Xfg5QyNVPE4/FkdENeuGE1r63/hoG5RVw+4nAcZutWq0jSchSOx1jnq6PS38j6YCNVYS9+RbNymBCU2XPp7cijjzOPvjkFlDi2FQuBeISqkJeqUBNVIS/VUT8hVVM2ZgRltlzKnR4qXAVU5BTQw+XBlDxeHzrS0S0uNpstq74fsVgMv99Pbm5uu/1j9N+bx+PplKEdPcBfPB5P5YeyWCwUFBRkxdenM8m078hIyLRQ+b7A5VLK9s9lTaO1HdLqhtVc/O7FlLnKeG7ic+Q72h8fpDWE4iEuWzCdireXcc7/VOwVFXhOOhH3hAnYBw9GCIE36mVjYCNV/io2+rdd1wRrkgZTDafFSW93b3rn9sZpcRJX49qixDj22dUMW1bP6+f1Y/noXOJKfOv7qXJa2bhsg1e4FFhMdpwWJ26bixybC6fFmVpcFhc2sw1VqkgpUaT21KiiokptURJRZKQZNdyMGmlGjfpQlRgqoAqBasvRFquL8qKhHFxxJAf3OpgeOR3kN/7NS/DWdDj/XzDgiHZVVXPnXTS9/DID58/D1rt3Vpq3KxRVMvvzSo7Yq4Tnf7qfyOxXmPqhSs877yD/jDM6pQ3ZYHcTMqCFZw+FQjgcjk7zI0knkUjQ3NxMKBTC6XRit9ux2WzbBF1TVTU1o0bf1tfb99tCiJSw0dGtPD6fD2AbC1S6ONHXH9SsYWHjWgY5Cjiv777YzBZUKdkc8rIh1ExVuJnqqJ/6eCjVa+Wb7ZTbPfR25tEvt4DeOQXYzGlWleSSzvZtl1LSGA1R6a9nQ6iZjWEvm6J+4lJzzHUIM70cHno7PPRx5TO0qBf5Ti19QEcJep/PRyKRoKCgoF3nkFLS3NyMyWQiLy8viy3cObp/j81mw+fz4fP5cDqdFBcXd8qMpWyRad/RJpuZlHKZEOKAthybTYYXDefhox5m+oLpXP7+5Tx57JPkWDunUwrFQ8x4dzoHz1rKYStU3JMm0uvuuzFt5zSWZ88jz57HiKJfGq9iSoxNgU1U+as0gZMUPFX+KmJKDKvJitVsxWqy8p+z++FpinLyy+sx9RhHw+CK1HupJViPdfW/sVocWMdMIWYr5v3VDWxoiNMcNCFVKxbs9C0sYHhZMaN6lbJv71KG9CjCaXF2TKfg2wTVS7cu67+GmB88G2H0DOgoEQOak2/xXtD/8HZVE9+yhea5c8k/9ZROEzEAZpPgovHa7KSbim7ihqiflWv/i3LnHbjGjWtVfieDbUn3IxFC4HK5Ou3ciUSCpqYmQqEQLpcLt9vdoh+GyWTCZDK1+BQvpWxR5CQSiW3+x0IIcnJyUrFFdN8gvYwQmm/bf6pW8mHjWka6e3Dh4AP4sbmWBVU/UB32EZPasITDZKGPM4/RheUM8BQzIK+EfEdOVvoNDx76lWy1qiuqQnWgmbXeOir9DawPNrGoaQNq03rONZs4zDO0w0SMnlfJ6Wx/n6j7xnS25c9kMqWGmHQnYJ/Ph8ViobCwsFPb0hlkOrSUHsXXhBYMr0hKeVw2G9OWJyuADzd8yB/+9wfGlY3j0aMfzd7QxA4IxUP88a1LOO7xr9mrWlI840qKL7+8w839iaYmKs8+G9Xro98rL28bGv/nD+DlKeDpBef/C6+1B2c/+QXr6gNMGF7GmD75jOmTz4heHhzWzpt+9wtUFTZ+pbVVCJj6FpSNzP55qpfBk0fCpL/BAe2L91Jzx500vfIKA+fPx9a7PEsNbD1xNc7Nb0znjDs/w1LRhzGv/7f1DuBdwO5okdEJBAJEo1FycnI6ZDbF9iQSCRoaGgiFQuTm5pKfn98pww36UInVav2FZWbOj1/yce1a9i+s4KLhB/Ndw2Ye/f4TPBY7w/LL6O8uYmBeKT1z8rp0SDOaiPNz0xZyVTP5zpwO83EKBoNEIhEKCgraZb3oKmtMSyiKQl1dHaFQiNLS0i4dUm0NmfYdmX5L7rTFDvwXOLntzcsuR1Ycye3jb+fLzV9y/SfXo3Rgtt5QPMStsy/k7HuXMajeQvmDD1ByxRWd8ge3FBRQMXMmAFXTLiXR1KS98f1/Yc5ZUDgALppH0FHGhc99xc+1AZ6YOo6Hz9mH3x7Sn7F9C7pWxICWrLHiQLhoHpis8NzxsHFp9s+z+Cmw5sDos9tVTbymJmmNObVLRQyA1WTltlMe4f2zBuP4sYolf72+S9uzJ5CTk4PNZiMYDKZmqXQUiUSCurq6lGWksLCw06bD6skB4/E4oVAI0GZaPvvdp3xcu5ZDSwZw0fDxrG2u4/EfFlFoc3HDPhM5f+hBHFq+F71y87vcL8tusTK8pDeleQXE4/GUk3Q20YMMZiOvkm6N6Uxr344wm80UFxdjsVioq6vr1MzUnUGm39RqPcqvlPIuKeWLwIkd2bDWctLAk7h2v2tZsH4Bt39xe4dEtgzFQzz44Lmc8+AKCqx5DHjxJTwTJ2b9PDvD1q8fvR/5J/FNm9g4Ywbq0pfglalQtjdc8DYRexGXzF7Ctxu9PHTOPhy2V8muK+0KSvaCi+dpeY9mnwSVi7JXd6gRVr4Oo88CR/uehBqeeBIpJUWXZi+Kb3twWBxcec0cvhlbgGvOOyxd8GJXN6lbI4RIhVIPBAId1sHH43FqamoIh8MUFBRQWFjYqYHJgNTsp0gkgj8YYObKj/myYQMTyvZiypADqPI18M/vPibXbOMPo47GY89eItJs4nA4UgHgfD5fVsPeZyuvUvpMpa6I3dISFouFHj16IKWkpqZmt5jJlC0yFTI3ZLivS5k6fCqX7n0pb6x5gweWPZDVuoOxIM/fcCqnPv0Don8fhr75b5wjszppK2NcY8fS869/IbxkKZtvvAFZcRCc/xZxez5XvLiMz35u4L7JezNxZNfM5MqYgn6aZcZTDi+cDmsWZqfer1+ARAT22/UMr50Rr6mh+dVXyT/ttC63xqSTa8vl2H/MpbnASvCWu1i5/quublK3RgiB2+3GYrHg9/tTEXOzRSwWY/PmzcRiMUpKStrtQNoecnJywGxi5nef8E3zJk4sH8EZg8exOejlodX/wypMXDXqKAqdne8A3Rr0xITZFjPZyqu0O1lj0tFzM8ViMWpra/eYVBa7yn49SQjxMFAuhHgobXkOyH7ChCxwxZgrOHvI2Ty78lmeWflMVuoMBpuZf9FEDvvPBgKH78Pec/+NtbR01wd2IHkFaykZ5cO33kl989Eo1lyunruc97+v5Y5TRnLqPp3nlNouPL3gonc0p9yXzobV/2pffaoKS56GvuOhx/B2VdXwxBNIoPjSae1rUwdQVNybvvfeT5FX8uW10/ip6aeublK3RhczZrMZv9+ftXww0WiU6upqFEWhrKysy9MGhBMxnln3FWvCTRxfPJiJFSOoD/t5cOUHSAlXjTyKHjld68+RKTabDY/Hk3Jkba+YyVZepd3RGpOOy+WiuLiYYDBIY2PjHiFmdmWR2QQsASLA0rTl30BWHX2zhRCCGw64gUn9J/HA0gd47cfX2lWfv6aKL06bwPCl9TScP5Fxj7+IqROcAneIlPDhX+C9myk642jyTjuV+plP8swtD/P28k3cMGkoUw/s2gCBrSanGC54G3rtA69eCMtfbntdPy2EpkrY77ftalJ882aaX32N/NNOw1q++1hj0uk9/hjsF0/h4OVRHn9gKlX+qq5uUrdGj4wqhMDn87Xb9B4KhaiurgagZ8+eXf50HoxHeWD5QtYGGjmv/1gOLRtEVf0W7l/+PlElwYwRh1Pu7rpgi23BarXi8XhQVRWv19uu7yxbeZV2V2tMOnl5eXg8Hrxeb4f4GnU2u8p+vVxKOQsYKKWclba8IaVs6qQ2thqTMHHXIXdxSPkh3PHFHbxX+V6b6mle8TXfnXIChZsCbL5xKofc+EDXOrxJCe/dDB/9Fcach5j8LGW33sqWwXtz4BszubV3iEsPH9h17WsPznyY+ib0OwTevBQWP922ehY/Cbk9YGj7XLjqd2NrTDoDr7oOMXwvzv63lz/NvYjaUG1XN6lbkx7mvT1P+X6/n82bN2M2mykvL++UGVE7wxsNcd83C9gY8nLx4AM5tPcQhMPG05WL8SUiXD7sMPrn7ab+dLtAFzN6ILi2iJls5VXa3a0xOkIIioqKsNvtNDc3EwwGu7pJ7WJXQ0tzk5tfCyG+3X7phPa1GavJyv1H3M/oktFc98l1fLbps1YdXz/vP2yYch5RNUbt36/iqPNv7KCWZoiqwNu/h8//CftfCic9DCYz//ioksv3mkywtJyDZt1L9KduPMRgz4VzX4W9JsJ/r4ZPH2rd8Y3rYM0CGHthu/IqxTdvpvm118k//bTdPvO4sFoZ8MBDuISNya/WcOn8S2iONHd1s7o1ZrN5mxtja8SMPuW2trYWm81GeXl5l+a4AWgMB7h3+QLqogEuHTKe/cr6E47H+Oeq/9GUiHBu+Wh6Wlzd+qncYrGkpjh7vd5WDw1mK69Sd7DG6JjNZoqKijCbzfh8vm4tZnY1tPT75PoEtFlK2y+7NU6Lk38e/U8G5A3gqg+v4tu6XWsvKSWbH/4HdX/4E+uKJf5HbuG4Y7t4xooS16wUy2bBodfApHvAZOLJj9fyj/fXcMJBg9nnhWcQDjtVl04nUV/fte1tD1aHlk5gxKmw4BZtGC3TDnbJ08m8She2qwn1TzwBQPG03dsao2Pr25deN93M8EqFUQvXMX3hdAKxQFc3q1tjsVhwu90oioLf78/oJq+qKk1NTTQ0NOB0OunVq1e78/S0ly1BL/cuX4AvHuGKYYcxurSCaCLOQys+oDrs4+LBBzK21wDi8Xi3vpHBVgGqDw22xmlbz6vUnplk3cUak47D4UgNzQWDwdTU/O7GroaWNifX61taOqeJ7cNj8zBzwkyKncVctvCynTpFqpEIVX+4iuZHHufjEQLTI3fwm/3O7cTWtkA8AnMvgBWvwjG3wtF/BiGY8+UG7nrnO44f1ZO/nLY39j696fPoYyQaGqi67HLUcLhr290ezFY4/WnY5zxtGO29m3ctZuJhbbbSsBM0B+I2Et+0qdtYY9LJO/103BOO4eyPVSKrv2PGBzOIJCJd3axujR48LpFI7FLMKIpCY2Mjzc3N5OTk0KNHj06fXr09G/1N3PftQsJqgt+POJJhRb2IKwkeXfk/1gUbmTpwP8b26IfdbsfpdBKNRgl3534DTczk5eVhMpkyFjN6PqJfkzUmndzcXFwuF4lEglAo1C1/A7saWvILIXxpiz993VmNbC/FzmKemPAEdrOdSxdcSnWg+hdl4ltqWTdlCoF332POESZ63vMXThx2ehe0No1YEF46C374L/zmPjjkDwD865tqbnprBUcOKeGBs8ZgNmljus5RIyn/+31EVq5k07XXIrtznACTGU58GA6Yrg2n/ecqbXhtR6x8A8JN7Z5ynbLG7CZxYzJFCEHZ7bdjLSjktgUFrNi4hD9+9EfiananEv/asNls5ObmEo/HCQRatnLFYjEaGhpSGbVLSkq6XMSs89Zx/4qFSODqkUcxML+UhKrwxKpP+N5fx1n99uHgXoNS5V0uF3a7nVAo1OGBATsa3c9JHzLZVWygSCTS6gzh29MdrTE6JpMplRxTVVVCoRCRSPd6CNqVRcYtpfSkLe70dWc1Mhv0dvdm5oSZRJQI096bRn146/BLeMVK1k0+g8Ca77nvNDPj/ng3Jw3q4sDF4WZ4/lRY9zGc8jjsr92g31tVw9Vzl3NA/0IeO28sNsu2X6H76KPpcf11+BcspPbe+7qi5dnDZIKJf9WG05Y+B29OB2UHY9+Ln4SSoZqzcBuJV1fT/Pob5J9xOtaePdtcT1dhKSig51//gq1qCw+u3pePNn7ETYtu6tBI178G7HY7LpeLWCz2CzETDodTeZP0aL1dLWJ+aNzMgys/xGoyc82oo6nwFKFKyXPffca33s2c0nsUR/YZ9ovjcnJysFgsBAKBrMfS6Wx0MaPHBtqRONPzKrXXyTcSiXRLa4yOzWbDbrenohl3RqTrbJJxDGYhxL5CiP8TQswQQuzTkY3aFfWBKA2BKM2hGN5wnEA0QSiWIBJXiCsqiipbNAMPLhjMI0c/Ql24jukLpuOL+fC98w7rzzuPpriPm6aaOOmiOzm5q0VMsB5mnajlC5r8HIw5B4BFa+q5cs7XjCzP46kL9tthuoGC88+nYMoUGp97jsY5czqx4R2AENpw2tF/hhVz4dULILHdH2zjUtj0Nez3O618G6l/4kkE3cc3piVyx4+n8ILzKXrnK27lJOatm8fdX97drR05s0VMSdAcCeGLhvHHIoTiUcKJGNFEnJiSIKEqqDv4nJxOZ2r4JRQKIaUkEAjg8/mIRqN4PB7y8/O7XMSsqN/Iw6s/Jtdi50+jJ9AzNx8pJS/+8AWLG6s4rudQJvUf1eKx28fS6e6RX9PFTCAQaNHKoO9rz7CSlJJIJILVau121ph0dCErhMBkMnVopOtsk5EnmhDiz8Bk4I3krueEEK9KKe/ssJbthEPu+YBIfNczCUwCTEJgMglMAszJbeGcyg89nub6605ixrwtfN/LxX2nxwjHzubuV3K5m20jzGZ6CyjKsXHMsB5MHFnGiF6ezBV+xKuJluol2k256gvN5+Ocl2HwMQAsXd/IJbOXMKAkh1kX7UeufcdfnRCCHjfeQLy6mi133oW1Z0/cRx6Z4VXsphx6DdjcMO9PWuC8s14EW/LpZ/GTYMuFvc9qc/Xx6mqa33iDgslndEtrTDolV19N8PMvGPXER1x2x7k89uMccm25/GHsH7q6aV3KyvqNzPwxs9mLJgQC7b8k0PoPoe9LltFeSW1/O/PylDncjCnqzdjSvhQ4MouqK6WkLuTnZ28d6/z1VAYaqQo1U+rI5Q+jjibfof0/Xv9pKYvq1nFE6UBOHbjzZ1CTyYTb7U7FF9H9TborQgg8Hg9+vz/lzKyLlmzlVdKtMd0lEeOO0NN1eL3elKDx+/14PJ7dXqBlmv36B2C0lDKSfO0EvpFSDtnFcROBfwBm4Ckp5V93Vj7TLLZzvtxAXFFRpURRJaqUqJKUJUZRQZH6tkxus7WsKomte5Ozn5rDT73M3HmWYHjuJVRYj9jZ1eyyXZX1Qb6qbERRJeX5TiaOLGPiyDL2rShI+bGgJKB29VbRUr0E6n4gJZeKBkPvcZp1obeW9HNltZdznvyC4lw7cy89iBJ3ZgGb1GCQ9edfQHTtWvrOnoVzVMtPYt2Kr1+Af8+APgfCua9oM7ruHwb7ToXj/96mKpVAgA0XXEj0558ZOH8e1rLdPLVDBkR++JHKyZNxHXwws87vydw1r3L5mMu5YPgFuKyda/7eXbJf1wZ9LG+oQkotYaIqJRKS62R/kbatIreW1beRhEIhYvE4ZrMZs0ULZ28Sbb8RqlKyNlBPfSyEAPq6ChhdWM7Y0r7bRNkNxWOs9day1ldPpb+B9aEmAgntidkiTJQ78xiQW8Tx/UbhTuZJenvtcv5TvYoDi/py4bCDM364SiQSqRuaPhOoO6Nb0GKxGC6XC6fTSSQSSSXwbOuNWk9eqcey2RMIh8OEQiFcLlfKgVlP4dHZv4NM+45MhcyHwKlSyubk63zgDSnlUTs5xgz8CEwANgKLgXOklKt3dEymHVJ7SdTVsW7ymYTUCFdNiTHjqJs4bfBpWam7MRhj4XdbeHdlDZ+sqadQqeMw13pOKKpmND/haV6FiCenuLmKoHycJljKx0L5vuDcNrLmT7V+zpz5BU6rmbnTD6I8v3WJ3BJ1dVSefQ5qJEK/l1/C1qdPVq6zS1n5BrxxCZSNgv6Hwaf/gMu/gNJfjvvvCjUcZsMllxD+Zjl9HvknuYcf3gEN7hoaZ81iy1/+So//92fuKf+Gd9a9g0DQL68fw4uGM7xwOMOLhjOsaBg51o7LrbO7CJlsEIvFUrNh9Kmr2RhOklKyMdDE0tpKljduYlNEm0uRZ7GTY7ERVRQa46GUdbjYlkPfnAL6e4oY6Cmhwl2EZbt2LNiwitfWL2efgnKmjTi01WIrFovh9/ux2WxdnlohG0gpU74fTqczNWySn5/fpvr0PE/6EFZ3tlxtjx4l2e12EwgEUrGULBZLajGbzZjN5g4VN9kWMm8B+wEL0EwHE4Cv0AQKUsr/a+GYg4BbpZTHJV/fkCz7lx2dpzM6JBmLsf7Ci4isXk2/l+ZgHjIIqylLZrNoQPPVqF4CG5egblyCKVADQExaWCX7sdo0GNlrLBWjD2e/Mfvi3MkQUVVjiMmPf05Clbw6/SD6F7ftZhNdu5bKc87FUlBA35fmYCnoXmHIW+THd7Ws30oU+h0KF/6n1VWosRgbL7+C4GefUf73+/BMmtQBDe06pKpS9btLCC1bRt/X5rLEUcPK+pWsbljN6obV1Ia1KMACQV9PX0YUj+gQcbOnCBn9xqXHKwGy1ok3hgP85K1jrbeOyqA2RJSQ2w6fO01WBruLObznIEYU997puT+p/pEX1i5hhKcHl4884hciJ1N0q4XD4dASTu4BBAKBlCNrTk5Om/xjFEXB6/UihOj2w28toV+f2WxOZRrXF0VRtvG560hxk20hc8HO3k+mMdj+mDOAiVLK3yVfTwUOkFJeuV25acA0gIqKirHr12cQnubxQzQ5ZXOB1QW2HLA6d7Ctl3EhLU5qHp1L8zsfUX7btXh+MwnMNi1TciwIsYC2jga2bqeW9H0tvBcNQLgR9M6noH/S0jIOeu9HpGgYi9b5mb+qhgWrt+ANx3FazRwxpISJI8s4cmgpHsdWQVXjjTB55mf4IwlennYgQ8vaZ7YMLV3KhosuxjFiBBXPPtO1+aKyxdqP4F9XwIn/gEFHt+pQmUhQffU1+N97j5533Un+6V081b6DiG+pZd3JJ2Pt1Yt+L7+ESJtiWh+uZ3XDalY1rNoqbkLbipvhRcNTy7DCYeTaWu8H0BFCpi39xqr6al5auwSbyYLNZMZuMmM1WbCbzal9NrMFu8mC3WzBZrZgS25bTSYSkRg2k5kiTz4Oqw2TEEQScaJqgkgiTkSJa6+VBBFFW0cV/XWCqJogllxHFUVbqwntfVWbjWdG0MuZR9/cAvq7ixmYV4LNZOHr+g1807CRnwMNqEjyrA72zu/F2JIKhhSWbWNt+apmHc+s+ZyBucX8fu+jsJnbF5QvGAwSiURSQzJ7AqFQiFgsRl5eXqtvunqSSiBrFrndkWg0SiAQaPF7VxSlU8RNVoVMW8hUyKST8ZPV65dA1A/xoOYUGwtp27GQ9joe3Coo0mha46JmaT5Fw/yUjva37oLMdk0Y2XKT6+Rid2/dzilNDhGNhZyiHVYVV1S+WtfI/JU1vLuqhlp/FKtZMH5QMRNHlDGuXwHTX1jG5uYwcy45kNF92mb63B7f/PlU/+Fq3BMmUP7A/Yg99A+4K6Sqsvmmm/G++SY9briewgt2qtO7Pf6FC9l45QyKLrmE0muu3mlZXdykL1tCW4Btxc2Y0jGcM/ScjM6/u1hkfm6uZf6GVcTUBDFVSVsSxJPb8Rb6jfZiM5mTwsmSWtu3E0yljlwG5pXS11O0U+Hhj4b5uq6Kbxqq+MFfR0Kq5JhtjMrvyT7FfVCkytM/fk5vVz5Xjz4GhyU71ma/308sFkvFG/m1oienlFKmZkTtyejfe15e3i6vNVNxY7PZMvZJyrZF5gTgDqAv2kwnAcidxZLp0qElKbUpuvGQtsRChJYsYf0f7yZ3n6H0vm4KQologicR0yw46YLkF4IlV4s22wGoquTrqmbeXVXD/JU1bGjU/GfsFhOzLt6fAwfsWBC1hYZnn6P2nnsovOB8etxwQ1br7g5IKdly1900vfACxTOupOSKK7q6SZ3C5ltuofm11yl/4H48Eye26tiWxE2pq5Q5x2c2tX93ETKZoEqpWVESW60p3qCfQDiMyWZFNUFU0YSQROIwWzVRYrbgMFtxWKxb1xYrdrMVUwf5EIQTMZbXVfF1fRWrfVuIJeMF9XJ4+OOYCeRYsyc49LxTiUSiW8xi6QhUVU3l3vo1iBjYmjsMaNMQWkviRg9lkAnZFjI/AacBK2SGJhwhhAXN2fdooBrN2fdcKeWqHR3TUWPd8epq1k0+E3NeHv3mvoJ5N3Vck1Ly3VlT3mcAACAASURBVGY/73+3hf36F2ZdxOjn2PKXv9A0+3lKr7+OogsvzPo5dkZsYzWbr78eU14ePW+7FUtxcaeev/bBB2l4fCaFF11E6bV/6vazMTJFDYfZ8NvfEV6xgj6PPkLuoYe2q75wIozTkt3OqK10pI+Mbl7f3X1EYkqClfXVrPXVMaFiOHn27M9MS7+R5+XldfqQSiwWS/nrdPYQ169ZyGXbqVlKmXG/m2nfkWmLqoCVmYoYACllArgSeBf4Dpi7MxHTUajhMFUzZiBjMXo/8shuK2JAcxwc3svDjKMHd4iI0c/R47rrcE+YQO09f8M3/90OOU9L+D/8kHWnn07k++8JLlrE2pNPIfDRR512/oannqLh8ZnkT578qxIxACankz6PP4Z90CA2zvg/QsuWtau+TEVMdyaRSBAIBLBarbt9xFab2cK+PfpyxuBxHSJiYGuMGT0pY2uygrcHfbaRnu8qFArh9Xo79fy6iHG73b8qEQNtS6C6M/4/e28eZ9lZ1/m/n3PPuftS1VXd1Uu60wkkAYUBNAP4G4MwOjrwG5ZhEUTjAiSAuMZlxhAQkDAIgokIkgVmFBA0gIBOgMH5zQRwkB8JghESgyQk3emlura7r+c888et5/Sp6lrucu5a3/frdV/Vdevcc5+qvud7Ps93HYTd7VTI/DZwp1Lqd5RS15nHbi/SWt+ptb5ca/0YrfWN/S21e7TWnH79DdTvu58j7/oDYpdeMuwljCUqEuHwO99B4slP5tRv/zaVe+4Z6PvpVovFd72Lk6/9RZwjh7nkk5/gko/fgT03x4lXv4Yzb70Rb8DtsFc/9jEW/+BdZJ/zHA6+6Xf3lIgxRLJZjt1+G87Bg5x49Wuo3XffqJc0tnieR7FY9OfQ7MXPy1ZEIhEymYx/cx90x2jjBarVasTjcWZnZ0mn07iuy9ra2sDb6GutKRaLtFot0ul0X/OYJpngANVh/L93S6dC5kagAsSBTOAx1izffjuFO+9k/6//+lT1BwkDKx7nove9F+fQIU7+4uuoP/jQQN6nubjIIz//CyzfdjszP/mTHP/oR4keO0bssss4fsdfMvuzV7P64Q/zvRe/hNoDDwxkDfnPfIYzb34L6Wc9i8O///Y9m+QMYM/NceyDH8BKp3nkVddQf2gw/++TjLl5mUZg01Za2y+2bftiIowd+nY0m03W1tZwXZd0Ok0qlUIpRSwW80NbpVKJUqk0kDWYJnrNZpNUKrWnk5zh/ADVTqbBD5tOr9DDWusXaq1/V2v9ZvMY6Mr6pHTXXZx79x+Sfc6zmbvmVaNezlhiz85y9PbbwLY5cc01tM6dC/X85b//Kg+98EVUv/UtDr/j9zn0ljdjBYyBFYtx8PrrOXrbrbRWV/nei1/Cyoc+HOoFUvzbv+XU71xP8qlP5chNf4jaY27hrXAOH+bYBz4AWvPIK19J8/TpUS9prCiXy34YYS8kdPZCNBollUrRbDb91v9hUqlU/LyMXC53gYgwvXzM/Ku1tTVarW0GyvZIuVz2OwH3M4tpmojFYv7/+3bT4EdBp0LmTqXUjw90JSFSf/AhHv3N3yL2+Mdx6MYbxS28A9GjRzn6/j+htbLCide8Fi8Eo6Q9j6X3v59HXvEKItksl/zlX5B73vO2PT591VVc+ulPkfyhp3P2xhs58ZrX0Fpe7nsd5f/zf3j0168j/oTv56L3vneDiNrrxC69hGO334ZXKPLIK15Ja2Vl1EsaC2q1mt/5da+GETrFJN2aQZphYEJJ1Wp1g+dlK5RSJJNJvzlhPp+nWq2Gso5gB+Bp6Z0TFvF43J8GPwgR2wudCpnXAp9TSlWVUgWlVFEpVRjkwnrFLRY5+brXoWybo+95D5Z8CHcl8cQncuTd76J2332cvO46dB87m9bqKide8xrO3XQz2ec8h0vu+Etil1226+vsuTmOvv/9LNxwA5Wv/D0PPu/5lL74xZ7XUfn6P3Didb9E9NJLOXbLLUTS41txMiri3/d9HH3/n9A8dYoTr7oGt9hlb6Upw3gXotHo2Cf3jgvJZJJYLEa1Wt1yunQ3NJtN8vm8H8rpNDfJcRxyuRzRaNT35PSTCFypVPycHPkcbE0ikSAej1Or1UITsf3QkZDRWmeAeeCZwHOB/7D+dazQrsup3/wtGidOcOTmm3COHBn1kiaGzLOexcE3voHyXV/kzJvf0lN4p/qNb/DQC19E5St/z8E3/S6H3/kOrC5KVpVS7PuZn+b4x+/A3rePE9e+mjM3vq3rRODat7/NiVe/GufAAY594HYiPc5S2Qskr7ySi/7oZmoPPMDJ1/4iXp83o0nF5HuYluxC56RSKRzH8UMxvVCtVv1uublcrutQjqmoMjkca2trPa2lWq363qBxLrcfB0zekPmbjZKOhIxS6lXAXcDngDetf33j4JbVG+f+6D2U7rqLhet/h9RTnzrq5Uwcsy97GXPXXsvaHXewfMstHb9Oa83Kn/0Z37v6Z1GRCBd/9KPMvuxlPYf04pdfzvGP38Hs1Vez+qEP8b2X/GTHicD1Bx/kkVddg5VOc+y/fnDofWomkfSP/AhH3vH7VO65h0d/9dfQzeaolzRUTHIv4JcXC52jlCKTyfjJt93kqpi/faVSIRqNMjMz01deUjAcVSwWu0oENt4Fk9Qq7I6p5DJerFHRaWjpV2kPjXxYa/0s4ClAfmCr6oHCZz/L8i3tHiGzP9VZ63ThQvb/+q+Rfe5zOXfTzeQ//eldj3dLJR79tV/n7Nv+C+mrruKST3ycxBO+v+91WLEYB19/PUdvvYXW8nI7EfjDH9nRKDVOPsojv/AKsCwu/q8fxDl8uO917BXaZelvonTXXZz6T/8Z7bqjXtLQKJVKfmXMtM7NGTRKKbLZLEopisUibgefn6DnJJlMhiYiNycC5/P5XcVVvV6nXC7jOI6ImC5Jp9O+R27Q5fDb0amQqWmtawBKqZjW+n7gisEtqztq993HqetfT+IHfoCDb7hBdlR9oJTi8I1vJfm0p3Hq9TdQ/spXtj22dv/9PPSiF1H827/lwG/9Jhe994+J5HKhrif9jGe0E4Gf/jTOvvWtnHzNa7dMBG6eXeSRX/gFvGqVYx+4nejx46GuYy8w+9KfZP9vXEfhzjs585bfG6vyykFRrVb9G6kk9/aH6fwaLF/fjlqtRj7f3gvncrnQE2qDicBa6x0TgRuNht/4UDxy3WM8crZtUyqVeg4v9kOnQuakUmoG+BTwBaXUp4EOxlQPntbKCidf90tEslkuuvmmDdN9hd5Q0SgXveePiF1ynJO//CvU/vmfLzhm7ROf4HsvfRm6UuXiP/1vzL3ylQMzAPb8PEdvuYWF17+e8le+0u4I/KUv+T9vra5y4lWvpLW8zLHbbiV+xdho7Ilj/pprmLvmVaz9xV9w7t1/OOrlDJRGo0GlUiEWi0llSkiYhnnb9ZgxvVmM96OTYYT9sFsicLPZpFgs+t1rRcT0hvHImZBec8jh6U6Tff+j1npNa/0m4A3AB4AXDHJhnaCbTR791V+jtbzMRX/8x9j79496SVNDJJvl6K23YiWTnLj21TTPnAHaIx9O/c71nH79DSR+4Clc8qm/InnlwMbo+Cil2Hf1z3D8jjuwZ2c4cc21nHnb29pl49dcS+PhRzj6vveReNKTBr6WaWf/ddcx89KXsnzbbSzffvuolzMQXNelVCoRiUQkqTNkTHjGjHgwuK5LPp/3y5rDmNvTCSYROJVKbQhnNZtNCoWCL75ExPTHZjETdl+fnej6U6S1vktr/Rmt9fD9R5s4+/bfp/K1r3Ho995C4olPGPVypg7n0CGO3nYrXqnEiWuupXrvvXzvpS8j/6lPMf+Lr+XY7bdjzw1mJtR2xK+4nON33MHsz/wMq3/2If7lmc+idv/9HLn5JlJPf9pQ1zKtKKU4+MY3kH3Os1n8g3ex+hd/OeolhUowudfkdQjhEovFNvQaMU3rzOToUZQ1x+PxDYnARsQMS1DtBUx40czj6iRXKpT3Hcq7DIDVO+5g9SMfYd8v/MKOzdaE/ohfcQVH/uhm6g89xPde8pO0Fhc5euut7P+VXxlZq38rHufgDa/n6C3vJ3rJJRx55zvIPOtZI1nLtKIiEQ6//e2knnEVZ970Jgp33jnqJYWGSUaV8QODJdhrpFQqYds2MzMzIx26GEwEtm1bRMwAMGIGGNpwUTVOCX1XXnmlvvvuu3c9rvL1f+Dhn/s5Uk99KkdveT9K2ogPnMJnP0vhc59n4T//J5xDh0a9HGFIeNUqj1xzDdVvfJOj73sv6Wc8o+tzKKXu0VoPLP7Yqd2AdrOzarVKKpWStvNDolwuo5QikUiI92sPYQZMGmHTi2Ds1HZMnBRtra5y8ld/BefwIY68+10iYoZE9tnP5qKbbxIRs8ewEgmO/smfEL/8ck7+yq9S6VAwjCONRoNqtUo8HhcRM0RSqRTJZFJEzB7DJFC7rjvwidkTJ2QiMzPMX3MNR/84/FJfQRAuJJLJcPT223AOHeLEa15L7dvfHvWSesJxHBKJhLSdF4QhYUraBy1mJk7IKKXY97M/29H8HkEQwsHet49jH/wAVjbDI6+6hvqDD416SV1jeouIZ0AQhofplNxqtbYsyQ+DiRMygiCMBufQIY594AOgFCde+5o9N8pAEITeMLOrms3mQOYySYKJIAgdE7vkEo7dfhvu2hpqhNUngiBMFvF4HKXUQKrWRMgIgtAV8cc/ftRLEARhAonFYgM5r4SWBEEQBEGYWMaqj4xS6hydz3CaB5YGuJxeGMc1wXiuS9bUOeO4rm7WdLHWemDzQ6bAbsB4rmsc1wTjuS5ZU+eEbjvGSsh0g1Lq7kE22eqFcVwTjOe6ZE2dM47rGsc1dcK4rnsc1zWOa4LxXJesqXMGsS4JLQmCIAiCMLGIkBEEQRAEYWKZZCFz66gXsAXjuCYYz3XJmjpnHNc1jmvqhHFd9ziuaxzXBOO5LllT54S+ronNkRHGD6XUDPByrfX7lFKHgT/SWr941OsSBEEQphcRMkJoKKWOA3+jtX7CiJciCIIg7BGkIZ4QJm8HHqOU+gbwHeDxWusnKKV+HngBkAIuA/4AiAJXA3XgOVrrFaXUY4D3AvuBCnCN1vr+4f8agiAIwqQwyTkywvjxn4Hvaq2fDPzWpp89AXgh8K+BG4GK1vopwFeAn10/5lbgl7XWPwj8JvC+oaxaEARBmFjEIyMMi/+ltS4CRaVUHvjr9efvBf6VUioN/D/AHYHpxIPpZy0IgiBMDSJkhGFRD/zbC3zv0f4cWsDaujdHEARBEDpCQktCmBSBTC8v1FoXgIeUUi8BUG2eFObiBEEQhOlDhIwQGlrrZeDvlFL/BLyzh1P8NPBKpdQ3gW8Bzw9zfYIgCML0IeXXgiAIgiBMLOKREQRBEARhYhEhIwiCIAjCxCJCRhAEQRCEiUWEjCAIgiAIE4sIGUEQBEEQJhYRMoIgCIIgTCwiZARBEARBmFhEyAiCIAiCMLGIkBEEQRAEYWIRISMIgiAIwsQiQkYQBEEQhIlFhIwgCIIgCBOLCBlhIlBKXa+Uun3U6xAEYbIQ2zH9iJCZQpRSL1dK3a2UKimlTiulPquU+uFRr6sftNZv01q/CkApdVwppZVSdhjnVkodUkp9Ril1av28x8M4ryBMGmI7ukMp9f8qpb6slFpTSp1RSt2ulMqEcW6hc0TITBlKqeuAm4C3AQvAMeB9wPNHua4xxwM+B7xo1AsRhFEhtqMncsBbgcPA44EjwDtHuqK9iNZaHlPyoH1RlYCX7HBMjLaxOrX+uAmIrf/smcBJ4LeBReA08ALgOcADwApwfeBcbwLuAD4MFIF7gcuB31l//QngxwPHfw/4sU2v//D6v48DGvg54BFgCXj9Nsc+sn5saf3xI+tre2Lg+ANABdjfxd/PXj/v8VH/X8pDHsN8iO3oz3YEXvtC4N5R/3/utYd4ZKaLHwLiwF/tcMzrgacDTwaeBDwVuCHw84Pr5zgCvBG4DfgZ4AeBq4A3KKUuCRz/XOBDwCzwD8DnaXv6jgBvAW7p8nf4YeAK4EeBNyqlHr/FMc9Y/zqjtU5rre8CPra+TsNPAf9Ta30OYN31O9EuckEYIGI7ztOP7XgG8K0u1y30iQiZ6WIOWNJat3Y45qeBt2itF9cv1DcDVwd+3gRu1Fo3aV/g88DNWuui1vpbwLdpGzHDl7TWn19/zzuA/cDbA68/rpSa6eJ3eLPWuqq1/ibwzU3vtRN/CvyUUkqtf381bSMJgNZ6Rmv95S7WIQh7CbEdfdoOpdS/o+0VemMXaxZCQITMdLEMzO+SyHYYeDjw/cPrz/nn0Fq76/+urn89G/h5FUgHvt/8s6UtXh88fjfOBP5d6fS1Wuuvrh//TKXU44DHAp/p4n0FYS8jtqMP26GUejrw58CLtdYPdPNaoX9EyEwXXwHqtGPT23EKuDjw/bH154ZBGUgGvj/Y43n0Ns//KW0X8dXAx7XWtR7PLwh7DbEdPdoOpdRTaAufV2it/2eP6xL6QITMFKG1ztN2a75XKfUCpVRSKeUopZ6tlHrH+mEfBW5QSu1XSs2vH//hIS3xG8DL1td0JfDiHs9zjnal0aWbnv8w8B9pG6Q/6+aESqk47WRGgNj694KwJxDb0ZvtUEo9gXbF4y9rrf+6xzUJfSJCZsrQWr8LuI52Et452tn/vwR8av2QtwJ3A/9Iu1Lg6+vPDYM3AI8BVmnH1/+8l5NorSvAjcDfrSfiPX39+RO0fx8NfCn4mvW+GFftcNoq7SoGgPs579oWhD2B2I6ebMdv0M7t+cD6cSWllCT7Dhml9XaeNkGYPJRSHwROaa1v2PVgQRCEdcR2TC6hdDcUhHFgvSPvC4GnjHYlgiBMEmI7JhsJLQlTgVLq94B/At6ptX5o1OsRBGEyENsx+UhoSRAEQRCEiUU8MoIgCIIgTCxjlSMzPz+vjx8/PuplCIIQIvfcc8+S1nr/oM4vdkMQppNObcdYCZnjx49z9913j3oZgiCEiFLq4d2P6h2xG4IwnXRqOyS0JAiA67pUKhVarZ1GzQiCIGyk0WhQq9XwPG/US9mzjJVHRhBGged5LC8vUyqVUEphWRbRaJRoNEokEgEgmBRvDJZ5LmjAzFj5WCzGzMwM5+fQCYIwbTQaDc6ePUuz2UQphW3bvu2wLMu3B8ZWBL8Gn4e2HVFKkclkSCaTW76fsDUDEzJKqaO0Wz0v0O6WeKvW+uZBvZ8g9ILWmkKh4IsYpRS1Wo1isYjneViWhW3bOI6DZVkbXme+mteZh9aaUqlEtVolnU7jOM4GUSQIwuTTbDbJ5/NUq1VisRiu61IqlWi1WmitiUQiOI5DJBLxbUdQuGit/eeN7TDnyGazJBIJHMe5wPYIFzJIj0wL+A2t9deVUhngHqXUF7TW3x7gewpCx2itKRaLVKtVms0mmUyGdDrti5FWq+U/lFJEIhFisRiJRALbtn3jEzyf+bq6uuqft9lsUqlUfE+PMU7irRGEycR1XYrFIpVKBYBMJuPbBNd1cV2XZrPpe1mi0SixWIxYLEYkEtnWdrRaLZaXl2k2m1iWRb1eB/A3U9FoFNuWQMpmBvYX0VqfBk6v/7uolLoPOAKIkBHGgnK57Me3Hcdh//79OI5zwXGe59FoNGg0GjSbTYrFIpFIxDdOxtNiDJNSitnZWT9MlclkfEFTr9ep1dqDdY2gEW+NIEwOnudRKBT8azqdTvvX+2ZarRaNRoN6ve4/HMchFott8LSY1zqOw+zsLKVSiUQiQTQa9e1OtVqlWq36wki8NecZirRbb//8FOCrW/zsWuBagGPHjg1jOYJApVKhXq/jeR6e57Fv374tRQyAZVnE43Hi8bgvaur1um9YjKfGCBKTM5PJZCgUCn6IKR6P+54eY5wqlcrAvTVaa3+HGI/Hp8ITJHZDGAUmFG08tZFIhLm5uW2vKdu2sW2bZDK5QdSUSu35tEbURKNRlFJ4nudvkKrVKo7j+PkynufRbDb9TVXQW2NsR9jeGq01jUYDgFgsFuq5w2TgnX2VUmngLuBGrfUndzr2yiuv1FJGKQyaWq1GuVz2RYlSigMHDnRtBDzPo16v02g0/GqnSCRCrVbDtm1yuZy/k0qn01saAiMwjLAxBL01JtSltcbzvA2Jgjs9gscWi0Vc1yWbzbJ///6hihml1D1a6ysHdX6xG8IwMNdRo9FAa02lUiGdTjM3N9f1uVqtlm87zMbHsixqtRrJZJJ0Ou3n6c3MzGzpdQluiIz9sSzLtx2O4/RkK4KPZrNJqVTCsiwOHDhAOp3u74/YJZ3ajoF6ZJRSDvAJ4CO7iRhBGAaNRoNyuewn6QKkUqmedjKWZZFIJEgkEr6oKZVKlEol3zOTzWaxbZtyuYxt2xeEkCKRCJFIZEdvzW5sTjY2IS3zO1UqFWKxGEopCoUCnuexsLAwFZ4ZQRgW5XLZ32yYysReq4uMpyaVSvmiZmVlxfe2eJ5HKpWiWCz6yb/bnQO299bsxlZ2w7Is3ztUr9dJp9N+dZaxaePGIKuWFPAB4D6t9bsH9T6C0Ckmv8V4IZVSxGIx4vF43+c2oqZer/tl16VSCc/zSKfTG6oRthMQSil/JwXnvTXmZ0FjE/x+J4yoyuVyRKNRVlZWWF1dxfM8Dh48KPF1QegAE4oG/MR/swHpFyNGjCem0Wj4G45YLOaHsROJxLbnsCzLTyY2GyLXdbfc5HRiOzzPI5/Pk0gkfOFy+vRpFhcXfS/RODFIj8y/Aa4G7lVKfWP9ueu11ncO8D0FYUtMlYHBlES6rks0Gg3lPer1Oq7rkslk/CS8YrFIsVgkFov5XpZUKtXR+Yyx7BVjfJPJpB/WmpubIxKJsLS0xKlTpzh06JAkGgvCDtRqNT/JVmuN4zg0m03fyxkG5vy5XI5Wq8Xa2pq/EbIsi0ql4lcu7cbmDVG3mDwgrTXZbNa3D4cPH+bMmTMsLS35eYXjwiCrlr4MiO9aGDmmysB4YizLIp1OUygUSCQSoRojk/gLkMvlfM9MvV5HKUWlUvFzXwaJMb7xePyCnZyJuZ87d45HH32UQ4cO9Wz0BGGaMaHooIixbdtPnA8DE05OJBJ+0r+pgqrVakSjUTzPo1QqkcvlBupF3ZxPFwy5W5bFoUOHOHv2LCsrK7iuy/z8/FiEqMWvLEw1wd2FMQCmHBoIzRgZb0xQNFiWRS6XI5PJAG2vULVaJZ/PD7Sdeb1ep1wuE41Gt/X+ZLNZFhYWaLVanD59uuOYuiDsFUwo2ogYswGq1+sb8lP6xXhjgrbDcRxmZmZIJpO+rTL5d4OkVCr5JeVbbW6UUiwsLJDNZsnn836oadSIkBGmluDuwrIsP4HOtm1/pxPW7mazN8aglCKbzfrva1kWpVKJ1dXVDV0+w8JUGdi2vWuFQTqd5uDBg3iex5kzZzpKLBaEvYAJRQf7vGSzWVqtFp7nhe6N2aotguM45HI5ksmkX1VkGm0OAtNXKxiK3gqlFPv37/f73SwuLo58Rp0IGWFqMVUGjuPguq6f2GvKJwfpjQkSnJ9iyqnX1tbI5/OhvL/BGN9IJEImk+nI5ZtMJllYWADg3LlzlEqlgQgsQZgUTCga8L0xmUzGb61gGtKFwVbemCCmjYOxHa7rcubMmdA9qNVqlVqttmUoeiuUUuzbt4/Z2VkqlQqLi4t+v5lRIEJGmEpMoms0GvXFjAmz1Go1fw5KGGznjQkSFDOpVAqlFEtLS77B7BdjfM37dONpSiQSLCwsEIlEWF5e3pBPJAh7iWAo2rZtXNcllUr5m6Ewm0ru5I0JYqoOTVPOVqvFqVOnNvSd6od6vU6lUtkxFL0VpoP5vn37aDQaLC0tDcxbtBsiZISpwyS6muoCE9tWSvkdOcPqUrmbN2Yz6XSaVCpFJpNBa825c+f6Fg5B42t2jt0Sj8eZn5/HcRzW1tZYW1vDdd2e1yQIk0YwFB2sTDKeW+MFCcuTu5s3JohlWWSzWX8j1Gg0OHPmTN9ekG5C0VthKq1mZ2dpNpusrq6OxKsrQkaYKkyVgdlNQTux1XgozJyjMI3Rbt6YzZh+ESbmvrKysqG/TTcEja8ZXNcr8Xicffv2EYvFKBaLrK2tjTz2LQjDwoSiTfg56MXVWoeaV9epNyaIKR5IpVIkEgmq1SrLy8s9e0FarVbXoeitMPlDs7Ozvme4V3vWKzJGU5gaTJWBmULred4GD4XpVBlW/4dg35huMWXfrutSLpf9duTdelR2qzLolng8zszMDIVCgUql4nt5xnnOiiD0iwlFx+Nx6vX6Bi8uEHpeXTfemCBGNCilWFlZ8RtemhBYp3bN8zy/Iiu40esVE9KG89VVvdizXhEhI0wFwUTXSCTiN4ILJuUNwjVspmD3QjweZ25ujlar5Z8rONZgNzqtMuhlXQDFYtH3YHme17XRFYRJwISiTT4dcMHNPcy8umDfmF42VEY0aK1ZWlqiXC77VZmdeFY2N7wLq3IzKGYqlQrVarUre9YPEloSJp5glUE0GvW9LptvvGaYYxgXlfHG9DprxRCLxfxE20ql4rcG3y323W2VQbfE43EymYzvZi+Xy1LRJEwd5rNtNiOu65JOpzd4EUxeXVgboEql0pM3JojJTdm3bx+u61KpVGg2m+Tz+R1z24yICSMUvd26TFFDJBKh0WiQz+cH3qdKhMwY4q4u4q2eGfUyJoLg7iKZTFKtVv1hbEHMILYwjJHWum9vTJBYLMbBgwf9ibpKKYrF4rax716rDLolHo/7U7td16VWq/khMGE8kQTtzgmGoi3L8r2bm69pU3Idhtez1WrRbDZD6yg+OztLLpfzB826rks+n982t61UKtFqtUILRW+FETPxeNwPe5VKpYFWNEloaQzQWuOdO0nrgbtR3/0GkeWTNB57JbHnvmYs2j+PI2YwWrVa9ePDlUoF1SAEawAAIABJREFUy7K2dK+G2f+h0Wj0nBuzHYlEggMHDnDu3Dk/Vl+pVC6IffdbZdAtRviVy2U8z/MH2g0r9i3sjLkO6vW6n8eRTCYlDLgDZlJ0uVz2NyNmQvzmv1vYeXVmoxKWdwdgfn5+wwgDpRT5fJ5MJrPB3g0qFL0VwTCT+VxuZc/CQoTMiNBa4576Lu4Dd6Me/AaR/DlswD1wnObTn0/10ONolkqh3iwnHdPHwTxMmCOVSvm5HFvFfM3rwtgFhe2NCZLJZGi1WqyurmLbtj/5VilFKpUKrcqgW4JixiQoFwoFf8q3MFy01jSbTRqNhn+TMIMCzQ3DTEMW1m2t6/peC+OtMBPrzcZgK+9mmHl1xhuTTCZDvW6UUhvEjBn0WCwWyWazOI4z8FD0duvKZDIUi0W/DUbQnoXJRAqZVqtFJBKZOCOqPY/WI/fjPXA31kPfxCqvEVEW3qHH4D7p3xK5/AeJZufax1arVCoVKpVK33kYk4ox2OZh3OZmsFo0GsVxHEqlku8h2cpLEKYxGoQ3Jkgul/MrmSzL8ruJRiIRv9IhzAS9TgmKGcuyBrKrGgamOeKkobX2hYvJnzIeRnMdmC60hUKBUqmEZVkT+buGgfEebt702LZNIpHwy6jX1ta29eJCuHl1g/DGGCKRCHNzcywvL1OpVHyhUCqVSCQSQwlFb8VmMWP+/mEzcULGJHbatj3UXWmveM0Gre/9E/o7X8f63j9i1cooy8a96Ar0055L5LIfIJrKXvC6RCLhDxm0LKvnD7+5iM2FvNXXnX5mvrqu6w9OMxf2VqKhk2RQs4PcCpNYZ3ZOwd2mmRodfN9KpbJtbNu8V1j9H8xudxDeGIPpFaG19jsTu67L2bNnSaVS/uTqURAUM7Vazb95Tgr1ep1SqUQqlRrIzSRszM3Y3JAB3xZEo1G/zUAQc+PI5/MUi0VyuVxPIcDltSpLq2Vc16PleriuxvU8Wi0P19P+966raXka1z3/vOfpDa+pNzwcW5HLRJnNxJnNxYg5Nhow5sLTGjRo1r8G/+0fp/G05qKFDLn0xuvPhNhMRdB2mx5z7RjBB1t7ceF8Xl0YG8lBeWOCRKNRstksxWLRH2xp8tpyudxQQtFbsVnMmP45YTJxQsbsBk2t+riEXhrfvAv9z1+DzCykZ9G1Cqycxl58iEizjrZjuBd/H/qxP4j92Cdjx3ZXpalUCs/z/F1wtzdPc8PpBHNxmV2d53m0Wi1c1/VFTFDQAL7HIBKJ+MKm25useR8jXEwiqSl1DO6GzO5qM1vFtg1h9n8whm3QnznTiMvkpZgEvUFUGXSL+Tu6rjtRIgbwb2gmRDYOoRcjjj3Pw7IslFK+99HzPJRSvniJxWId/f+bLrBGzHTrwfM8j69/61Hu/Ze1HY9TCiKWImIpLEsRiSgU4Hka19O03PbDsJxvAP1Pb37GU/ZzyZG0HzI2AsZseozNcBzHb2lQr9e3rJzZKdcrzLy6QXpjgphp2Y1Gg1arRT6fx3Gc0HJ8esWIGdP3JmwmTshA+8bleR6VSoVSqTQypWlo3P0/iHzxL/CiSdSj/4zSG6s6PDuGnjkAWOilk7RaDVRuP9a+g1iZ2W0/YMHdlYl9dmLItNaUy2U/aTT4Id78NbiTCYZwjHAxuRpGpJgciaDIMfFnwBc1wcdWu0bzflpr/zXG6xLcOW31u21mJ/d5WP0fhuGNCZJIJHyDZG5kzWbTj3OPklG/f68opUin0xSLRUqlUqjD/3rBdGWu1Wp4nketVvPzN8xnNhaL+bkv5to0m4fd5vNkMhm/y6pporYbJv/pioszXHHJHFHHxrYtIpaFbVvYEYtIxCJiKYrlOifPFDi1WOTcWo2VtTrNdeGiFKQTNqmETTJuE3UieJ6mWm9Rq7eo1l2q9bYXxxCPWiTjNumkTSYVJZV0iFgWClAWWEq1Jy/PRH074DgO8Xjc3/Rs5yXcym6Yjdh2f4ew8uqG4Y0xmHvG2toanuf5nrtyuewLu1ERTAAOm4kUMtA29Cbx0rKskeWRNO7+QlvE2FGsRgUvmcM99n1w4GKIJqC0AmuLqMIS1tkHUQ9+HRW4qNyIg5fZh87OQ24/amY/5A6g5g5Dds73JuTzeZaXl/2BgMELc3OYqFQq+e47I/iCHpWgByRYpmdCOMZQBo2C53kbym4ty/Jj8EYMGVFTr9c3HLvZa2OMsG3bvpt8EDlP5vcLIy48LG+MwVz0hUKBhYUF6vU6xWKRYrE4coM0yQT/rsFkyGFjREy5XEZr7XsVzTViNgzGM2M8i5t/F7PBMNdVMHQCbS+U8egF2+0Hv5p/m6aSnudxdlXzyJlVmq12aKnR9Gg0XRrNtvjYLYKsNRQrLYqVzkdc1BoetUaDlUIDqGx73DN+4AD7js/6m55BXAthjjIZljfGEIlESKfTVKtVstkspVLJr9CamZkZyhqGzcQKGWi70YyY6bfBUC807vkCkS9+DK0ssCK4/+F1OJc9GaW2d+N6rSZ67Rzu6iLkF9Fri5BfagudUw+gWu3QSf2xV1L9Nz/pv870FqlUKjvmBpXLZVqtFolEAsdxqNVqGzwnwfPF4/ENnhBjQM3DHBf8fiu22u0YwRR8mONMl9hBi4Kw+j8M2xtjsCzLNzzGC1koFIhEIszObu/JE3ZmKzEzzJCdETGFQsEPlW9uwrbd64ywCYockxeyHZ7nsbq6SrVa3dZGmgRzaIdb8ifynFut+mGiZuv8NR6xIJmwyaQcZjIx9uXiJBMOjh0h6rQfjm1t+F5Zan0zhf/V87x2/oun1/Ng2vk1y2sVFlfKnFupsrxWY63YxLx7zGmH2AdpO4L5af3mow3TGxMkFov5ds/0cikUCkSj0aksHploIQPn80iGrXrr9/wt9l0fQwNedo7IC36VyNyhXV9n2Q7MHyYyf/iCn2mt8Up5vNUzOE4cJ+AODsYYbdve4CoOViukUik/mTEYezeiJZioG9aFtdV5tqqYCHqDjIchOM8kTMLs/zBsb8xWRCIRcrkczWaTtbU1otHoyEOqk0wwj6RQKPScFNst5jpdW1vDcRyy2WzHFWDGi7ndeYNe0+D5ZmZmfC9tMpn0baQ5ptVq+eX0Jp/G9dao1FwilmJ+NsbCviQH96c4ciDLTLbzQYe9MJNN8Jhjc/73zZbL4nKZU4tFTp8rEXfOX9uDIMy8umHfl7YiFosxMzPDuXPnWF5e9sNN08RU/DYm7j2sJL763Z/H/uJfAuAeuQLn+a/DivcfvlBKEcnMEMls7f4z8dpyuUy1WvVdxWYAmOnYGIvFqFarVKtVYrHY2JTKGve3ybkJ5jiFvb6wSq5H5Y3ZCtu2mZ+f5/Tp05w7d87PoRB6YysxM8iKMK01+Xye1dVVYrEYs7OzoXmRTZhpOzFmqlkqlYrvhYXz3W2DZf3FYpHLj6X5/sfOc3B/Fjsy2gbwjh3hyEKWIwvZDeXlYQ5xDBJWXt2ovDFbkUgk2LdvH4uLiywuLnLo0KGRrylMpmJEgfFW2LbtTwMeFPWv/ndfxLS+/xk4L74uFBHTKfF4nHg87g86M+EGU9USi8Wo1Wp+34BBeTz6JZFIkEqlaDQaAxn5Hlb/hzBLMMPAtm0WFhYAOHv2rIwL6JNIJEI2e/4GOai/p9aa1dVVVlZWiMfjzM/PDzUUbmykaZRmEvRNeMuIOFMie3hhlosOzoxcxGzGCC7HcfwNXZiEOVdpHLwxQdLpNPv27aNSqbC0tDTq5YTKeH1K+8B8wM2Fut2siX6ofemT2H/3STTQuuqlxH7i57Aiw3dqpVIpP4lvaWkJ13XJZrP+wESToT7uoQczy6fZbPrzksIgrLlKxhtj2/bIvTFBotEoCwsLNBoNzp49K4Mc+8T0pDLJrmH/Pc2U4tXVVZLJJAcOHBjJ58mIGaUUS0tL5PN5X8hZluVvAlOp1Fh7+szvYUYLhClmwsqrC3umUliY8GE+nyefz496OaExNUIGzosZpZQ/4TMsql/4EM7X/jtaWXjP+2Vi//rHQzt3LyQSCarVKqVSiWQyieM4NBoNP4dmEpoFQjt+m06n/Z4HYeyIa7VaT313NmME0TjOrUkmk8zPz1Mul1leXhYx0yeO4/gjIsIUM1prFhcX/dk3Bw4cGGnFmQmRlkolarXaBhGzOYdmnDGl9LFYzO+A3i9h5tWNmzcmyP79+0kkEn4X4GlgqoQMnI97hylmap9+L9F7/zeeHYWXv5HoY58cwkp7xyTnJZNJstmsP0fDTHLttGfEuBCLxfwdcb/ufdP/oV9jNK7emCC5XG5DjofQHyYUawZz9ovneZw+fZpiscjs7Cz79+8fWVdmQ61Wo1arkcvlSCQSlMtlv+dUIpEYS9G+HUbMxONxqtWqX3XVK2Hl1Y2rN8aglGJhYYFIJOIPqZ10pk7IwPlmUP3Gvb1Wk9qfvw3nu1/HjSWxXvFfsBeOhrza7jAiRinF7Owss7OzNJtNTp8+vePMkHHHtNf2PI98Pt+zAA2r/4PphTPOhl0pxdzcHIlEgtXV1b4NudAW1clk0vdu9kqr1eLUqVNUKhXm5+eZm5sb+XVpbvbRaJS5uTlSqZSffByPx8cmD6xbTJVmrVbzk4B7weTV9esxG2dvjMG2bQ4cOIDWmuXl5R3L9yeBqRQygO+ZMMmw3X643UqR5p++EefMd3FTM0Re9U4i6dE2EzK5JMF8oODvtVu/l3HHlKMaAdqtmAmr/4PpTTTO3hiDGRZn2zZra2tT4yoeJcYzUa/Xe/p7NhoNTp8+Tb1e58CBA2PRhMyEXzYXAJiy7UlvsJhKpfz/s17ETFh5daY7+rh6Y4IkEglmZ2ep1+usra0NtEhm0EytkIHzYsaELDr9cLtLj+L9txuI5Bdp5RawX/FfiMRGq643VxhsbnJ08ODBDU2tJhXzf2ZKVbtJ2g6r/8MkeGOCxGIxcrmcP5cp7EqOvUgymdzQxqBTarUaZ86codVqcfDgQbLZCwfCDhtT3WNCuEopv7JxZmaGmZkZyuXyxO/Kk8mk703rNs8prLw605x1nL0xQTKZDJlMhlqt5le/TiJTLWQAv3qn0yS+5ne/if7I76FqJdy5i3B+9nexnNHuys2FGawwMCIG2j0igrvISb+R2bZNLpfz85w6vbjC6P8wSd6YIKY7bKPR6GpYqLA96XTar4zp5O9ZLpdZXFxEa83CwkIoozH6wYwrMfO5TBXj5spGU5ZtRhlMMqatQzeVkGHl1U2SN8ZgckoTiYQvZsIskhkWUy9kAL8p3E5JfFprGv//51Cffg+4TdwDl+C8/HosZ7RliKYDrrm5W5a1IVxmQkxwfhdZqVQmPoHLiDYjZnZze4bV/2HSvDEGy7L8xMdWq+UncAr9kU6n/Z4l23ksjPdweXkZpRQHDhwYeb6JETEmideIKpP7Y6q0TDjaXGtm1tIkY0SbySfc7fcJK69u0rwxhmg06o+0MQJw0sTMnhAygJ/MZnasQbxWk8bnPkjky3cAGvfgY3Fe+lsjFzEmec3kjiilLhAxmxu+pVKpoTQGHAamLb9lWRQKhR1d32H0f5hUb4zBcRx/8CDgl9QKvRNstmmaxQVxXZe1tTXy+Ty2bfulraPEzHIy5dRGVBnP7lbtGUyhgMlPm/RyfhNG203MhJVXN4nemCCmN1nQ2z9JgnbPCBloux1NdrtJ4nPLBVp3/AH2ff+nPTfp0GU4L7lu5CLGVBgEd07BJFhjXDezVQfPSca4Ps3vs9WNOaz+D5PqjQmSTCb9z0WwU6vQO5uvKRN+MXOvisUi0WiUffv2jXw3bmyEaWxnPstmFIGp6NzqOhl0Y8BhYyohd7ox1+v1UPLqJtUbYzCl7GaSutkwT4qYmchZS8Viccvnt7o4t3rOdV1WVlaonXqI1P/334iU19BA8+Bj8J79alpNF5rdVyuYQYm9VgAEJ9maXYKpMNgsYnbKAzG7q2HNkBk0RswUi0V/0GTQ8xJG/4dJ98YYzE13bW3Nn78zignP40ir1doyf6xTu2HbNoVCgWq16vcuqdVqOI5DNBr1h9f2gmlU16sQNwNZa7XahplrgJ8fGMyx2w7HcUilUn5/mXHvDr4bxptdLBbJ5/MbQvEQTl6d8caMw0ylfrBtm2QySaVSIRaL+WkNk9CXbKCWTSn174GbgQhwu9b67WGc1/O8C3YLW+0etnvOsixarRaLp09xSaMG2qO+/zjVf/vzKNeDPpNlzc0wGo1uK2q01n6SmcnvCKrfeDzux7WNq9gYqE5utGbnVSgUJubDuBNBMbN5YFwY/R/M3KpRJ2iGQSQS8W9GJgF8mBOexxVzzW31/E7fB5+zbZt8Ps+5c+f8KcK2bftCuF+M3XAcZ1vBYTY8wYdZX7B9P+B7I4JDIXcjHo/jeR7VapVIJDLRHko4L2YKhQKFQsEXM61WC9d1+7rmTePMSfbGBEkkEjQaDT8sWalUKBaLY9+fbGBCRikVAd4L/DvgJPA1pdRntNbf7vfcuVyu31MQjUapnlFEGhW8w5eReOGvkYr290E0g9gajYbft8HstMwNJGh8DJZl+QbRPIJ9Hky+y2ZPxG6YsJS5+Wcymb5+v1FjjLSZdK619t2g/SRXmgGcsVhsor0xQeLxOI1Gg2q1SiaToVwuk8/n/c/i5s/ZXsBxnL57unieh1IK27ZJp9Ok0+m+b/Raa98Tax5mvcbD63mev+kJbniMfTETrYNCtRcRY0gmk7iuS6VSwbKssZ691AmmrUOhUPA9M/3m1QU3mON+o+8G49FtNBr+hiifz+M4jr9hjEQiY/X7DtIj81TgX7TWDwIopT4GPB/oW8j0S7VapdlsknncU/DKZ7GvehFWnyIG8HcvsVjMv4lUKhVWVlbwPM/vU2BKpc3NZCcDY6oleh3kFo1GfWVdLpcn3uNgxEypVPJ3Qv30fzClqNFodOL/NptJp9N+k7xMJuN/7oPVTEbU7FVx0w3mxmVZFocOHQql7wi0P9NGtARz+EyTMq01tm0Ti8VIJBJ+HtRO/1fBooBePXHpdNrfBJmw+SRjKj+NZ8Z4dXv5vG/eYE7LBgjaG+tUKuUXmqTTaWq1GvV6fUMbguDGe9TiZpBC5ghwIvD9SeBpmw9SSl0LXAtw7Nixjk5s/pjBTrbm31s9F8R4S6LRKMlMBn70p3d8L631BY/tnjcu36D7OplMkk6nfbe22U3VajU/Jr5dR15TQtvvILdEIoHneX7Tp0l3FQfFTL1e79kYBUtRg91OpwVTkm2SpI1HLhiaMOHNzeImKGzGUdz0YjeMx3QnW7H5uSDlctnffXdy49rKRmxnRzaHiEzjS1OpaMLpruv6/1cmMXMz27Vn6BZzneXz+anJszKVkPl8vq8k3343mONOLBaj2WxSrVbJ5XJ+FMTkYpnHuIibkX8qtda3ArcCXHnllR2lyXfbvdb8IU3nU2Okjdt1J4HSDSZEFIvFtr0BaK03uJDr9TpKqQ2xcaWU34QrrEFuqVTKT0acBlcxnG9Y1stOcadS1GkiGo36HWrNrt94EoI3483ixoQ6DOMmbnqxGyZU0g1G2JgNkGkcZsTETiKlG4IhInMT2Pz33Sl0bV5rRIzruqEIDxOWMmJm0gsH4LxIdF23J5FnNlCTMim8V0zvtWKxyMzMjF88EIlENtw/xkHcDFLIPAoEJyxetP5c3+zbt29XD8nm58wFHolE/Ez8YKzZGCzLsi7Yne22e+tmxpGJycZiMbTWNJvNDaIG2v/xprlbmI210uk0hUJhalzFQE8u3WAp6qQnQXdCKpWi1WpRKpW2vRF1K24sy2J2dnZov0MYOI7jr7kTL6t5zlybZqCksSdwod0IPrfbI3hsJ5jQtfGwGrthxiiYNXRS2dgNpgrShGSMp2iSsSyrJ0Fmmo1O2qTwXjAl2YVCYccKtm7FjQmPhskghczXgMuUUpfQFjAvA14exom7ufgNhUKBeDxONpsdmxt40BOzOeHPdCMO+/2ClUyjqmIJeqGGzeZS1Ek3yJ1gDJIpx+808XMncTOJPUZ6sRsmlJPNZsfqBm5ZFvF43K8wMuHBbkJf3WA8l8Z2jMKLqbX2Q/KjsFtGME7ypPBuMU02TZ+cTu9JO4mbQfzfDUzIaK1bSqlfAj5Pu/z6g1rrbw3q/XaiUqn4DaLGRcRsJpjwN8ik01H2mDEJcmZXb8TasAxiP1Uck06waqOfcvywElwnAZPcC4x1+NGEigcdLja5ZKVSaeg9ZswGxJSFDzs3xSRgD2KDOe4YL2S/OZZG3AyCgebIaK3vBO4c5HvshhmiGIvFpjqe2Q3GGxEUM4M20ia04bquf2FUq1W/N86gkwj3sogxBMvxJ6E3xKgxn1fT1Vdobz5c1/VDWcPwTNRqNcrlsp+8bka3NBqNoSTpT3NlY6ekUqmx7pkz1dbc3Dxt296zH8DtGGY78nq9Tj6fx/M8f9JqMpkkm836A/cGObE7WMWx129Kplu0GaA6iSGiYVCtVv2mYHvFA9UpZjit6Ww8KIwH14xqyeVyxGIx34Y0Gg2/RH1QTHtlYzeYiMY4DqSdWiHjeZ7f80F2nltjdhjNZrPrSrBOMIbIiMmZmZkNoT1jnKLRKJVKZSCzPXYbsrkXMUmrWw1QFc63aDB9W4QLCd7UBjGY1HVd8vm8n1gb9KIqpUgmk35JcKFQoFKphC7K90plY6eYHEszlHicBtJOpZAxN1DP88hkMnsyjNAp8Xjcb2Pf65yYrdjJEAUxQtMIKtNRMgw6GbK5VzFVF8ZtLrRxXddv0SBe3O0xN7VIJEKpVNrQqbxfgh7cTCazbfjKbI6Md8hc62Gw1yobO8WE5rebBj8qpvIOb5J7h5F7MQ0EXcVhuAwbjcYFhmg3QxCPx5mZmfEnNvcb9uhmyOZexfTBMCMa9jrB5F65ee2OuakppUIREVpryuWyLyRnZmZ2DeuZirx0Or1h89QPe7GysRuCIjY4DX6UTJ2QqdVq1Go14vH4VDR9GxbGVWzabveCMUTGCJiwUaeY1xhPQT6f7+ki6WXI5l7FVH+YBox7mWKx6Atf8eJ2hhnmCvhVRb1gkvGN7e42IT8Wi/ntJEw4u5eNkBQFdIb5fw9LxPa9npG+e8iYXA/HcfZMnX9Y9KuyTS5K0BD1klRr4t+9JgIHZ6BMa/vwsEmlUkSj0bFM4hsWk9CiYVyJRCJ9FQ4YD64Rkb22ZDAeFLMR6jYRWERMdwRF7KjFzNT8T5nxA6ZET9yB3RN0FXezuzLVA67rkk6nQ+kN02sisEk+nPb24WFi3PPGIzdOSXzDQFo09I+p6jGVop1gynlNUUa3Htyt6DUROKz5VHsNIx5NKD/sYo1OmQohY0IJ5kMoSrp3TPKt+WDuZgA2G6IwPSDdJgIbj8JeaB8eNsGKhHFK4hs00qIhPLqphjPCwQjIsLuMd5MILCKmP0yzTfN3HIWYmYo7vplKm06n5UMYAp30mBm0IQrSSSKwyfHYS+3Dw2Yck/gGibRoCJ9EIuEnkG+Xc2U2JcZmD8qD3kkisFQ2hoMRM8PoS7YVEy9kTKVNIpGQpM4QMa5i0zgtSLPZJJ/P+zkFwwjlmUTgeDx+QSKwmYGyF9uHh824JfENCuPFlRYN4RPMudrsQTXeEcuyfI/JoNkuEVgqG8PFdA43VV/DFDMTffU2m00qlQrRaFR24QMg6Co2PWaMIVJK+cJiWJihZcFE4GKx6H8Ghjn7ZZrZC2Im6MWVXXj4mL+rCVMaD665Voc9sHarROBCoSCVjSEzqs7hEytkjAsrEonIDWyAJBIJP868tra2wRCN6gYQTARuNBq+90gID1OJMuokvkFQq9V8L65UtQ0GE6Y04eCgB3dUYbxgRSTgixj5DITLKDqHT+RWZFKm0k4LqVQKz/N8QzQOlR0mr8GMhZfPQPgEJ2YXCoWpSKSXFg3Dw3j28vk8wEg3P0Ecx2FmZgbXdcdiPdNIIpHwBwMbT/ogmcj/RTOVVjLMh4Mpy/Y8b+xuZGKIBotJ/C4UChSLxYnudGqSe423SRg8pkOvUmqsPjdKKbEdAyaZTKK1plarYVnWQCtJx+uu1AGe5+G6LslkUpKzhsy4iRhhOIwyiS9MXNf1Qx7jdFOddizLkr/3HmVYncMn7s5k+pVInxBBGB6jSuILExNSEC+uIAyPYXQOnzghA4i6F4QRMIokvrAR2yEIw2UYncMnUsgIgjAagl2TJ9ErIwjC8Al2Dh+E3ZBsJ0EQukKqfQRB6BbTe2wQiEdGEARBEISJRY2Te1gpdQ54uMPD54GlAS6nF8ZxTTCe65I1dc44rqubNV2std4/qIVMgd2A8VzXOK4JxnNdsqbOCd12jJWQ6Qal1N1a6ytHvY4g47gmGM91yZo6ZxzXNY5r6oRxXfc4rmsc1wTjuS5ZU+cMYl0SWhIEQRAEYWIRISMIgiAIwsQyyULm1lEvYAvGcU0wnuuSNXXOOK5rHNfUCeO67nFc1ziuCcZzXbKmzgl9XRObIyMIgiAIgjDJHhlBEARBEPY4ImQEQRAEQZhYRMgIgiAIgjCxiJARBEEQBGFiESEjCIIgCMLEIkJGEARBEISJRYSMIAiCIAgTiwgZQRAEQRAmFhEygiAIgiBMLCJkBEEQBEGYWETICIIgCIIwsYiQEQRBEARhYhEhIwiCIAjCxCJCRhAEQRCEiUWEjCAIgiAIE4sIGUEQBEEQJhYRMoIgCIIgTCwiZARBEARBmFhEyAiCIAiCMLGIkBEEQRAEYWIRISNMBEqp65VSt496HYIgTBZiO6YfETJTiFLq5Uqpu5VSJaXUaaXUZ5VSPzzqdfWD1vptWutXASiljiultFLKDuPcSqlnKaXuVUqtKaWWlVJ/pZQ6Esa5BWGSENvRO0qpD66f+7Fhn1vYGREyU4ZS6jrgJuBtwAJwDHgf8PxRrmvM+TbwE1rrGeAw8B3gT0a7JEEYLmI7emdzbZSNAAAgAElEQVRd7D1m1OvYq4iQmSKUUjngLcDrtNaf1FqXtdZNrfVfa61/a/2YmFLqJqXUqfXHTUqp2PrPnqmUOqmU+m2l1OL6juwFSqnnKKUeUEqtKKWuD7zfm5RSdyilPqyUKq57NS5XSv3O+utPKKV+PHD895RSP7bp9R9e/7fZKf2cUuoRpdSSUur1Wx0LfHH969r6zvFH1tf2xMDxB5RSFaXU/t3+blrrs1rrU4GnXEB2VcKeQWxHb7Zj/XgbeA/wy9391YWwECEzXfwQEAf+aodjXg88HXgy8CTgqcANgZ8fXD/HEeCNwG3AzwA/CFwFvEEpdUng+OcCHwJmgX8APk/7c3WEtmG8pcvf4YeBK4AfBd6olHr8Fsc8Y/3rjNY6rbW+C/jY+joNPwX8T631OYD1sNG2LnKl1DGl1BpQBX4TeEeX6xaESUZsx3m6sh3ArwNf1Fr/Y5frFUJChMx0MQcsaa1bOxzz08BbtNaL6xfqm4GrAz9vAjdqrZu0L/B54GatdVFr/S3aYZgnBY7/ktb68+vveQewH3h74PXHlVIzXfwOb9ZaV7XW3wS+uem9duJPgZ9SSqn176+mbSQB0FrPaK2/vN2LtdaPrIeW5mkb5/u7WLMgTDpiO3qwHUqpo8CraQs3YUSIkJkuloH5XRLZDgMPB75/eP05/xxaa3f939X1r2cDP68C6cD3m3+2tMXrg8fvxpnAvyudvlZr/dX145+plHoc7dDQZ7p4X3OeFdqG7dODSAgUhDFFbEdvtuMm2uIu38U6hZARITNdfAWoAy/Y4ZhTwMWB74+tPzcMykAy8P3BHs+jt3n+T2m7iK8GPq61rvV4fhs4AGR7fL0gTBpiO3qzHT8KvFMpdUYpZYTUV5RSL+9xfUIPiJCZItZ3BW8E3rueaJdUSjlKqWcrpUzOx0eBG5RS+5VS8+vHf3i7c4bMN4CXra/pSuDFPZ7nHOABl256/sPAf6RtkP6s05MppV6olLpCKWWtJ/i9G/iHde+MIEw9Yjt6sx3A5bRDWE9ef0A792enXCMhZETITBla63cB19HO8zgHnAB+CfjU+iFvBe4G/hG4F/j6+nPD4A20SxRXacfX/7yXk2itK8CNwN+tJ+I9ff35E7R/Hw18Kfia9QqFq7Y55RHgc0CR9t/Eo23UBGHPILaje9uxni90xjzWn17SWle3Ol4YDErr7TxtgjB5KKU+CJzSWt+w68GCIAjriO2YXCSZUZgalFLHgRcCTxntSgRBmCTEdkw2EloSpgKl1O8B/wS8U2v90KjXIwjCZCC2Y/KR0JIgCIIgCBOLeGQEQRAEQZhYxipHZn5+Xh8/fnzUyxAEIUTuueeeJa11R3NrekHshiBMJ53ajrESMsePH+fuu+8e9TIEQQgRpdTDux/VO2I3BGE66dR2SGhJEACtNa1ir42ABUHYq2itkVzT0TJWHhlBGAVaa5b+5tu496/CvhiRx+SIXz5PdC7lH2PmyZ2fKwderYVXb+HVWuj1f+u6i1drkrh4H/EjuaH/LoIgDA/P81heXqbRaOA4DrFYjGg0imW1fQSb7YZSaoPwMV89z/PPGYvF/NcLnTEwIbM+FfTPgAXa3RJv1VrfPKj3E4ReWf3f38W9fxV3zkFVm/C1RcpfW6QYVehkBKIRlAaaHjQ8VNODpkbtcM7aV08Rf9FlJBdyOI4jhkkQpgytNYVCgXw+j1KKYrGI53lorbFtG9u2iUQi/rFa6w2CZTvi8Tj79u3DcRxs296weRK2ZpAemRbwG1rrryulMsA9SqkvaK2/PcD3FISuyN99gsbdZ/DiFpHl5oafqYbGarSAFtpWkLJR+5NE0lGIWVhRGxWLoOI2KhpBxSOoaARcTfmTD1D9/EO0nncJlh3Btm2i0ahvnARBmFy01hSLRUqlEq7rksvlsG2bZrNJo9Gg2Wy2w9WtFrFYDMdxiEajKKU2eGuMSDHPNRoN8vk8q6urxONxlFL+a2VDtD0Ds6ha69PA6fV/F5VS99GeaSNCRhgLSvefpfq/H0anIlhlF+dph8h8/0GsuI0Vd7AiFo3lMuVvn6XxnRX0cg3yTfRCktgVcyQfv4CTjW95busnXEp//R24Z4nEM4/TaDSoVCrtn1kWjuNsMG6CIEwO5XKZRqNBrVYjFosxNzdHJBLZIE6MqKnX634IybZtX9hsdd2nUikcx6FWqxGPx9Fa++cBiEQiGzZEYjvaDGVruN7++SnAV7f42bXAtQDHjh0bxnIEgeqJVUp3/kvby1JqoS/LsO+qSy8wDNG5FNGrLoWrLqW+VKLy7UUa31mm+sUTVL94AutQitjlc6QefwA7c17UpB+3QP3hNZr/eA7vkjlmHr+A53m+UTIGDhiat0ZrPTWGT+yGMCoqlQr1et0XFyYMtBmzWUkmk7RaLf81jUYDpRTRaNS/7s116eomqVSKVqtFo9Egl8thWRatVsu3HdVqlWq1OjRvjRFh42w7Bt7ZVymVBu4CbtRaf3KnY6+88kotZZTCoKkvlVj96L1gKXS1hd4fY/bF308ilez8HIvFdVGzgl6rg6Itaq6Yx7o4g5V0iDsxlj7yTXShztzPPQVnJuG/3ridjXFyXRc4763ZbOC2wsTdg/H3zc+ZR6VSoVarsX//fhKJxLbnHARKqXu01lcO6vxiN4RhUavVKJfLeJ5HrVYjEolw8ODBjkWEue6NqDGbi2g0SkuVuOv0W3j87Au5NPdM8vk8juOQzWYvOIcJXzWbTT/vxrZt33bstCHazkZs9fA8j0KhgFKKhYUFP+dnWHRqOwbqkVFKOcAngI/sJmIEYRi0ijVWP/4t8HT7kbJxfuwY8WR3N/fYgQyxAxn0j1xK/WyRyn2LNL+zQvV/PYxW4B1PkXzWxeT+w+WsfeReVj9zH/MvfxKW3TYEZjdldmye5/nGabO3JljpEHx0glLK38VprTl9+jQLCwukUqndXywIgk+j0aBcLm+4/rLZbFeekOB1HwwbNRoNlkonqbqr3LN0C6XGGR4/8yIqlQrVanXD5kMpRSwWIxaLAWzrrTFiZrMw6YZKpUKr1cLzPE6dOsXhw4eHLmY6YZBVSwr4AHCf1vrdg3ofQegUt95i+RPfgkoLkjbUXawfu4jUbKZnt6lSivjBLPGDWfQzNasPnqH2T4tEHihSqT6I9xPHSTzzGNUvfI+1Lz7Ivn972ZbnsSyLeDzux8WNcTI7LsuysCzLj8Hv9Age12g0KBaLJJNJ4vE4Z86c4cyZMxw4cIBMJtPPn1MQ9gytVotisbhhA5FIJIjHt86R64RgeMnzPKqN/WTqxyl4/8I/Fz5NqXmWJ+Z+nkqlsmPY2VRIJRIJP3zdbDZptVpb2oSdngs+SqUSgB/qOnv2LCdPnuTIkSNjV7AwyNX8G+Bq4F6l1DfWn7tea33nAN9TELbEa7ks/9W30EtVmE/AUpXos4+j9/VnjDa8h+ehZ6LkfuyxtI60vTP1//4Q+t9fjHX5DI17zlK+eJbUY+Z3PE9w19YPxvjatk0m0xZrR44c4dSpU5w9exbP88jlpNeNIOyE67oUCgVfxJikXiMgwqBerxN30vzosRv4u1N/yGLjmzxa/XvKzSWenH0NxaLFzMzMrhsuy7I2eGt6xeQBBcVaJBLh9OnTnDx5ksOHDxONRvt6jzAZWC2X1vrLWmultf5XWusnrz9ExAhDR2vNymf/Ge9EEXUkDeeqxH/4KBxKbmhe1S/VahVo79RyVx4l9e8vxVqu0/ibh9D/ahZyUYqf/c5QOggb42tZli9ioG2Mjhw5QjKZ5Ny5c6ysrEhXUkHYBpMjYnJZjOcUCG0DpLWmWq3iOA7xWIpnXvyfOJL4IQDWWg/y1bXfJ1971PeQDJparUa1WiUWi5FMns8bTCQSHDlyBK01jz76KLXa+HRCl6J0YepZveu7tO5fwbo4gz5Zwv6+OeJPXkBrHZoxcl3X38EYYZR54mHSz7scq9jC+x8n0FfuQzc8Vv7m/oGKB2N8YesYvmVZHDp0iHQ6zcrKCktLSyJmBGETpleMCe0CZDIZms2mHxYKg1qthtbaFw0Ry+Gqo7/G8dSPAh41b5WvFd7JqcI/Dlw8mDwgx3G2zKOLxWIcOXIEy7I4deoU5XJ5oOvpFBEywlSTv/sEja+dwTqaxnukiHU4xb6fuJx6vU4kEuk7fGOoVCrtfJlNwih9+QGyL3wcqurBV87hfl8W72SJtS8/FMr7bsZ0G/U8j2w2u21inqlCyGazFAoFFhcX/copQdjrGBHTarWIRCJ4nkcqlcKyLJrNpt+sLoz3Md6YYJhKKYunH3k1l2efh6aFxuUfSu/h/sX/QavV6vt9t6LZbF4Qit6K6P9t79yDXMnq+/49/ZRa0ow0c+/MnTv37gNYWJbdhYXNLlleJiyptUN4VVKAbWzHruIfY3DsAkMo4ypiE6qCU3aC42RNnDiEAtuYBOwA3uURwITA2gte2F1ggX3c18ydp6SWWurXyR+a37k9upoZPbrV3ZrzqZrSjGZG+knq/vX3/M7vYRg4ffo0dF3H+vr6vm23tJBCRjKzUMM7tmIhvNwGKgYWXnsTQlzpuBkHQRDAdV0UCoWB21TWdYuo/vPngIWA+lgT/pKBzjcuovX4ZizPT5DzDYIAlUrlyP17xhhOnjyJ+fl52LaNjY2NxJykRJInWq0WPM+DpmkIggCmaaJQKIhqwrgiuf3RmCiMMbxg5c14TvVNCNCFChOPOh/BA+f/+8jVR0cRBAGazSZUVT1UxBC6rmNlZQWmaWJzcxP1ej1VMSOFjGQmoYZ3bKEA3gmAEKi97tnQSqYIz8bljA6KxkQprM6j9sZbwFQF6o4HbihofOYxdJtOLDYAV5xvqVQaOuzNGMPi4iJqtRocx8HGxoZw1hLJcYQSXXVdh+/7YpuFc45OpxNbXt1B0Zh+bl1+PW5b+CX4aENDCU90P4svP/G78AN3YhuA/VvRlUpl6NemaRqWl5dhWRZ2dnaws7OTWlRXChnJzNHdtFH/X9/rlVhbGrDbRfmnngFzqYIwDNHtdmGaZiyh4aOiMVHMk2UsvOlWKEUdzOdAO8DWXz4iOoROwqAqg2FhjKFWq6FaraLb7WJ7e1skLkskxwlKdCURoygKyuWyaGUQZ14d9XYaFI3p58aT9+DOk2+DDwc6Kljzvon7n/gtOF5jIhtoK5pzfuhW9EFomoYTJ07AsiwxIyqNqK4UMpKZQjS8A6CdqYCfs1F48RmUn7kEALGHhoeJxkQxahYWf/pWKPNmrxvwBQebX/vRRFGQg6oMRoExhmq1imq1Cs/zsLu7C9u2U9/7lkimBSW60nYSsD9Znjr5xpFXF43uDFvC/bSFl+BFy+9AgA50lFH3H8d9T/4r7DoXxraBtqLL5fLYpeSapmFxcRHlchm2bWNnZ2fqUV0pZCQzQ7ThnXHLSfiPbkN79iLm77xW/E2n04mt/8Mo0ZgoWqXQ6/K7ZIEDYH+3hZ0frYmhkqNwVJXBKDDGMD8/j/n5ebFnTonDEsksE+25xBhDGIYol8siQuH7Pnzfjz0aM+q4kGuqt+Olp98NzgKoKKAbNPD5c+/BpeZ3R7aBtqLL5fLEFViapqFWq6FcLsNxHDQajalGdaWQkcwE0YZ3xh2n4T64DmWlhIV7nim2kFzXRRiGqUVjoqhFHSffcCuUlRIYB8L7z6NVb44UBRm2ymAUGGOYm5sTXX/b7TYajYasaJLMLNGeS6qqDswzo7y6OAoExonGRFmp3IKXr75XnO8MOr588Xfww60vDf0YtBVtWVZsRQ+apqFaraJUKqHb7cK27alFdaWQkeSeaMM7887TcL+9BlgaFl53k5htBPScUVz9H8aNxkRRTA0n33Ar2CkLisvh/+UTcBxH9K446vlHqTIYBRIzlmVBURR0Oh3U63V4nhfbc0gkWSCa6Gqapsifiy5O4s6rGzcaE+VE6Rm4++z7oDETPm/DUpbwwOZ/xLfX/vRI4UBb0YVCIfYBspqmYX5+HpZlwfM8EZ1JOqorhYwk91DDO/22JbiPbQM+R+31N0ErXVlpBEEQa/+HSaIxURRdxdLP3AYsmGB1D8HnnoLruodGQcatMhgFEjMk1DzPQ6PRkBVNkpkh2vDOsiyR5Nu/RRtnXt2k0Zgo1eJZ3H3Nb8Ng82iHl1HTnoVH65/A187/e/jh4EUHbUUbhpHY4FhN04TvoGG4SUd1pZDJEDQavtFoZKr9c5ahhnfas2oIdjrg2x1RoRQlTmfk+/7E0ZgoTGFY+oUX9Cqs1hwEXzgP3/MHRkEmrTIYya49MWOaJhRFQRiGsG17rFweSbL4vi+2AWUvoKOJNrwrlUpot9v7KpSixJlXF0c0JspcYRl3X/M+FNkSdvzHsGy+AOfaf4MvPvk+dPoqmqJb0eVyOZbnPwgSM5QY7fuD/VlcSCGTMkEQwHEcUbrWarXg+z5arZZc/Q4g7Pqwv38ZW5/7Ptbv/SacLz0J5WwFrKQjfKKBwouuVCgRcfd/cBwnlmhMFEVVsPCzzwVXGfhTNoIvnAf3e5EXOvlHbXgXByRmDMMQDp62v2RFU7p4nodWq4WdnR3U63U4jiOSVmWC9tXQQrHZbGJnZwee58GyLLFoHDTOI868ujijMVEqhRN4+Zn3osKuxXr3QZwpvBjb7mO478n3CDGT5Fb0QZCYiS62korqZmsW9zGB8iu63a4It6mqimKxCMMwoKoqGo0GbNuGqqqZG5k+TTjn6K430fnRFtwn6wgvtYCQAyqDcrqMwnOXAUOB8/knod24gPkXXnvVY8TZ/4GiMdGZSnFhzBdRedUNsD/1A/BzNoL7z0G7+yyazSaq1Sra7baoMohrtMIwkJih1T5N/52GM5RcgfNeR+putwvP84RY0XVd+A7admw0Gpifnz/WnxG9X67rwvM84WsVRYFhGDAMQ/jgSqUyMLoZZ15d3NGYKHPWIl68/E58/fLv4Xznb3C2+DKcd76Kb1z8z3jxmV9Do9EAYyyxreiDIDFDUWTyHbE/T+yPmDAUWu9PyMo6dEK5ritOKE3TYFmWEC9RKpUK6vW6cEhxbiHQSnrQ7WG/o9H1SW5nAIDf6sL58Ta6T+zAf6oBtHuhclYzod9yAoWnLaJ4bQ2KrsI5t4P6nz/Sq1D6yWcNPEni7P+QRDQmSvmZS+g+bxfety8juNgC/8wTYK88g8vuZei6HmuVwSj0i5kknHHS+L4P27YPvGhlEc45PM8TvoPOQ13XxcU4eszT9kiz2USz2cTc3Fzs9hzmIw66VRQFmqYlfhGlXDgSL4Su6zBNc18X3Xa7Ddd1hQ8+6LGKxeLEF1+KBsUdjYkyP7eIO4K348Hte3HO+TJq2g242PkmvnPxM7im9KLEt6IPol/MJPH6cydkgJ5TbbVaQllngTAMRSdIUp1RBxRdPRUKhSO3ORRFwdzcHOr1unBIozoBctz03KNuBQQtF8FaC3zDATY7gO0Dew9BpzWLPiQHQM9B9w/6me89gHAOvTs4v/J7Rv+iAMxggKqAeyG8H+/Ce7wOe88I3vZ7FUqv3V+hFH0PaB98UpKMxkSpvfzp2LjQBLZ7OT/edzbQuaGIhYWFVAVEVMw4jnPVRTTrUH8QWhxMc2V6GL7vIwxDqKoqbCK/QV2fKSpgGAZ0XT/0fadEzlarhVarNdax7ziOmAMEjOE7gkAIgSAIxP+ToFFVVXwd9lqGeV7P8+D7/r4oFS1cSLiQPRRhIRtN0zzwnIozr47eyyTPX8YY5udquC18C77b+AgueV+HgSq+3/5TnK0+F5q2kNhzH0VUzHQ6nbEbdx74+LE+2hSg8Fij0RAX+GmG2QdBfQiCIBAnlO/7YIxBURQUCgUUCgWxIhjWgdJ+ZvS1DnvhoMQuxphYwYu+AwNuQ9eHu27Du9REuN7uDVls+T29AQA1A+ykBa70hEYIDh5RNUxRoKgKoDCoqgZFYYCyZys9j3LF9tD1Eex2wRtdcNsDC/ceq6CClTUoZQOsuOewSfxEhBLf+3umMFTuuhZaeXCUghxXHFGMpKMxhKKpqL36Rmx/5O8BS0fnaSbCMEQYhgiCINVoAokZigzkCVVVhTNtNBpjLQ7ihvpthGEIz/PExZgWRFHfQc3ahqFQKIgLt6IoI11AW60WOp0OdF0Xx9ogn0Hf0xYOiQVKNiahomkaOOfi97S1TmiaJgTHIHHT/5rJx1J0m45Fy7LEYx32uZI4MgzjwPclzry6aURjiF4ibwU3480I6wHW/W+CQcMDG3+IV5b+NVQlvUs+lWYn4b9yJ2SAwWImrTwSEjGO40BRFLEPSCcm3UdOiqDVF5249L2iKPtOXF3XRevnVqslss0PC+O6rotmswklAIotBu67CN0A3AvA3QChFyBsdBHUO+AtD9wJAC8UURbO0BMhKgPjHAgB7LjgO1ecz2Gntg9AKCDGekJn71ZEYbp7pXiWBv2GBZjXV1F82uK+kulJibP/w7SiMYSxUELpFdej9dkfoXIuALt1Ee12G6qqolqtpioi8pwfQ80Dx1kcxE232xXJ3HTeRy/ojLFejli3K6IDjLGr/EXUh0QplUoIw1AcN4ZhDIywRO+zbXtfL5X+bWcSXBTpJOFFvyd7yPepqioeg+wErkSwSfhEoz/0GqlSKPp/UXspL4jeszg/xzjz6qYRjYlSKBTgeR5unvs5hE0XG963seP9EN+5/Ak879Qbp2LDQSS1CMulkAH2b70kkUcyDEEQoF6vi7p8yl/oD/2SA6AVdRAE4nvf968Kn5JTizqRbreLnZ2dI5sYReeFWI4K+6+ePPQ1cKAnWAoqUFChWDpYQQPTVTBd2X+rKQDtkYe4KjqCsPc6ecgR+r3XGAbh3v/s7ZUzBgYGvWah9IwTME8ldyGJMzQ8rWhMlMrNK4AbwrrxJDwlFJUHk8xUkvQWB5VKReSRTKuKI0q320W9XheDPilPo39BRpGMft9BwrqffjFDJfO7u7uHztPhnIuckUKhAE3TRIUc+SkSHiRkFUURuTokOsh3Rb8A7IveHPT8/c9D31OEh0RNuVwWLQGSIq68umlGY6KUy2UUCgX8xMI78KWn3o9N92E8Wv8kTpefh6XyjVOzY1rkVsgAV8RMNFQ8LTETBIEYrFcoFDA3N3egwKAVxkEnxiCREw3d09aIpmlwXVdsV9Hv6LbT6cB1XVSrVVQqFbjn6mgVVcCJNCKqmVBPlWCuzsFcnYdx8uq+CXFDjjf6xTmHUpk8ie4w4ur/MO1oTJTK81cBACqAarWKzc1NbG1tif1/yXgYhiEinZQAPC1oUeK6Lsrl8qERZUqwH8RBCyT6P7o1DGNfz5T+7SIAYl4XdWWl7q/A/nwTin5MI3G3X9yQwKGIUVLEmVc37WgMQdE9APiJa34D9z3xXjT8J/DVix/EP336f4Ch5i9Z/zByLWSA/Xkk00riC4IA29vbsG0bpVIJ1Wp1oqRjRVFEEtxhWJaFZrMJz/PEXjBBPSRKpRIqlUpvJVYElFMlGKfnYJyeQ+H0HBRj+h95tNwRuNKZllbDSSRsU4J1HJGLNKIxgygWewm/ly9fxsbGBlZWVnK7xZMFTNMUWy+2bSfeJAzoiZjNzU14nicGdI7rr45aIEWxLAv1el34iGiEpNlsAgBqtRoKhYJYEEVzc9LIyyIRF/WL1GE6yRynuPLq0orG9KOrRdx97W/hs4+/E064ga889UHcff1vpmZPEmQjbX9CKCOaLpBJNuoKggCbm5viIrywsDC1yinKDVJVVYR9gV4ZYbvdhmEYQsQ0Gg2woobF1z0H1buug3XdQioiZhCKomB+fl6Er5NokBRX/4e4u/hOSqlUQq1WQ7vdxubmZtrm5J5isYhisYhut5t4x+JOp4P19XV4noeFhQVUq9WpHVO04KPtScppoRwd2orodrsiOlOpVGCaZqZK1XVdF76+Xq/H3vae8uriqMhLKxozCFMr4x9f+zvQYGHDfQgPrf1F2ibFSvqeOSZIzFDybRJiJgxDrK+vw7ZtVKtVLCwsTF1pk5gBIKIajuPANE2Uy+WptrCfBKp+0XUdtm3HOpIhzrlKFI3JgjMiqtWqyA+r1+tpm5N7KLfNcRyxnRI3juNgbW0NYRji5MmTqSQZU+EAVTRShIZyTlzXhW3bQsRkNdpHYoZ8XZxiJq68uqxEY6JYRg2vvOb9YFDxcP3juNh4KG2TYmNmhAxw5USlNt1xipkgCHDhwgU4joPFxUXUarXUVuhURmrbNra2tg4UMVk5gQ6CRJmu62i1WrFdREgUTeqMotGYrDn1kydPolgsYnNzU84+ioFyuQzDMNBut2Ofc9ZqtbC2tgYAOHXqVGLD+obBNE2YpomtrS20Wi0RdYnO4cmyiCGolBeAEGRxEFdeXZaiMVGqxVXctfzrAICvXPo3qDuXUrYoHmZKyAC9E7VUKsHzPNi2Hctj+r6P8+fPw3VdLC0tpV7+Sj0O6ISjMPG05/DEAYkZuohMelGmCq84+j9kMRpDMMawvLwMTdNw+fLlgRUsktGg0Q+tViu297PZbGJtbQ2qqmJ1dTX1PCuKVlLeC7WGaDQaU53DEwe0oGOM7ZtJNi5xzVXKYjQmyjXVf4BnVF4FDh/3n3s32u522iZNzMwJGaC3ErcsS5QiT4Lrujh//jyCIMDKyspUqxsGEe31UK1Wsbi4iG63i7W1Nfi+LyIceYLEDIX3J/nM4ur/kOVoDKFpGpaXlwEAGxsbiU2WPS7QcUi5W5O+n7u7u1hfX4dhGFhdXU39vIxuu586dQrFYlEMqyVRkIU8sFFQVVUkTE8qZqh54KR5dRSNyXKLhNtXfg5V7enweAv3PfmbV03Kzhv5OmpHoFgsigz8cVf5juPgwoUL4JxjdXU19QOToi6u66JUKonXSNOyNU3LzMiGcaCEw06nM3Y0La7+D1mOxkQpFAqo1WXYDKwAABX4SURBVGpwXRc7OzuxhdiPK/0J9eO8n5xzbG1tYXNzE5ZlYXV1NfVcNd/3Ua/XxbYzze1qt9tijEHeRAxBbTho2O440TSKVE3aPDMajUn7Mz8MxhhedvY3oLEinPAyvvjUb8MNkskPmwb5PHKHpFQqiVX+qPvetm3j0qVLUBQFq6urqQzqizKowoCiM7RffFCTrDxBAq3b7Y6c50T9H45DNCZKpVLB3NwcHMdJpJLjuEEXRtqyGOX9DMMQm5ub2NnZQblcxsrKSuoCwfd9Mf2YqgWDIBAl59RPh3rQ5BH6zMathIwrry4P0RjCMmq4Y+mtAIC6/zi+/NQH4Af5vH7MtJABehdGwzDQarWGOrg556jX67h8+TIMw8Dp06dTj3JQqWG0wgCA2MsvlUo4ceIEVFWFbdu5X5VbliW2Bm3bHlrMxNX/IS/RGIKceLFYRKfTib2S4zgyjpjxfR8bGxuin9Xy8nLqQpjyX0jEqKq6r01FtVpFtVpFGIaxF0hMm6iYGaUSMq68urxEY6JcW70D15VeAQDYdB/BV8//LoIwf9ePmRcyjDGRxGfb9qERizAMsbOzg62tLRQKBZw6dSr1fW1yOpTEGxUx3W4XlmWJMfPkeJvNZq5XV0Bva7BUKom5UUc52LjmKuUtGkNQxZ6maWKGT96PgbSh5Ffa0j3s/XRdF5ubm2i1WqhWqzhx4kTqx4/rumg0GqJvk6Io+0QMXfSj1Z5xFUikRbStw7CVkHHl1eUpGhPl9pV/gZK6AhUFrHUexP+98CFwni/fMfNCBhguic/3fWxvb6Ner6NUKmFpaSn1jHOa5RSGIebm5kRkiEpE++cuKYoiHG/SjQGnQaFQEH0vjno9cfV/yFs0JkqxWBQNzCixU4qZyaBy5MP6UzmOg62tLXQ6HdRqNSwsLKQuYmhrlvpr0fDa6KIo6t9ofpfrurkv5++vhDxKzMSRV5fHaAyhqybuWnkbQniwlFM43/4avnHxj3J1/TgWQgY4PImPZp/QdOnFxcVMiJjoyolOMmraRWXm/fTGuJf3dfDMM9Qjh/b5D7owUzn6JE4kOlMp7QvRONAxTiMvZuUYSBtqENcvZihHbXd3F57niW2atI8dSpY/TMQMumiTEB4npzBrUCTeNM1D2zrElVeX12gMcaL0DNxU/Wdoh2tY1J+Nx+3P41trH03brKHJXpH7END20CCHcZAToftLpZIoOaxWq6IlN02hjYZgRyU67XUS6KINYF9jO6rAoov7QRiGgVKphFarJcRZnqHtomazOXDGSlxzldrtdiZmKk2Cqqris9d1XUSz0ugkmzVoeCkwvO+g+1RVRbFYhG3bImpr2zYcxxHigKKh4wjHOBKCqb9Uu93e152XtsaoPcNhOX+lUglhGKLVasVS/ZcmJGaA3gKQc37V4i+OvLowDOE4Ti6jMVFuWXo91tp/j133xzhlvgDfb3wKumLhluXXp23akeRSyNCQs3Gh0fYbGxsiDG8YBkzTnPixaaz9sIljnPOrJkOHYbivpBCAEFwkUo6iUCggCAIRNs3jVkkUwzAwNzcnWqtHh+3F0f/B9314ngfLsnJ/wS8UCnBdF57noVgswnEcMRss769tEqjj96SPUa/XcfHiRXH80bm2u7s79uPSXDDDMKDr+lCfEwkzz/OE7wCuTPYmEWPbtqh2POocoahevV5Hs9nMRYfwo6D3gqImNDST8uomzYejrau8RmMIxhTcdfpX8Nkn3wEn3May+Xx8d/dj0BULN568J23zDiXRI5Qxdg+A3wegAvgw5/wDcTwutaYetPIZ9j5N07C+vi4aQVFC8CQEQSCa8EX7upimKZxev2iJVkMoigJd18X/0f90u10xA4VOymGg1VW73YaiKKmXkE8KzVhpNBqo1+uYm5sDAHHBHtcZ0ZaBoii5jsZEKZfL2N3dheu6ol+IbdsoFArQNO1YChpd1yf2HeVyGWEYimOuWCzGIhA9z4Pruuh2u2CMQdd1mKYpRM1BCx5C0zTx2UYHHlKBA7WiGAZKmCUxM8mE7qxA4oUiM+VyOZa8uk6ng06nk7nhmuNSNpfw/BO/iG9ufAhLlecghItvbf8xNKWI6+ZfBFVVM+k7EhMyjDEVwB8AeCWA8wAeYIx9mnP+yKSPPekKwfd9cM6xtLQkQvFxhVBLpZLIteh0Otjd3RViRVEUkcdBI+qpjbWmaQOdBZUgjzsDpVwuo9FowLZtIZTyDO37NxoNNBoNcSyM64yoigPATG2/KIqCcrksqm1IzNC2rKqq4lik429WXvtB0Dk3CY7joFgswrKsWOcSUV8oEjQURQuCQOQ8kY+g72nRc9DFhUSMZVkjnx9UOEDn2fz8fO6PD4q2tttt8d7quj62AIlOCk9zflbcPH3hZbhoP4jHmv8bL1l+F/ztDr638ylU+U1gTBH+go69LIibJCMydwD4Ief8xwDAGPs4gNcAmFjIcM7HfuOoX0K0JHFSW+g2CIJ9KybOuejbEIYhgiAAYwyqqqJQKBw5i4MGuUVniowKhYppUjb1ksgz1ACQuniO2/+hvxQ17+9LP4ZhiE7Jc3NzqNVq+45Pz/P29VaadXFD5+q4r4kqegzDiGVUCeXTDPIdjDGRqxcEgfB5uq4L33HYMR/N+xt3W5mEGvmOWdiapMgtjUEZdzto0gVm1rnz9Fuw9fgP8Lcbf4S7r30fFGhQuSWOz263uy8hPG1xk6SQWQVwLvLzeQB39v8RY+wtAN4CANdcc81QD7y9fWXIFSXY0psW/bn/PgCiYRx1wqWw7UFfAI78fT+0Yop+0Z6s67pixeU4jsjtoL1xgvbzJxExUXv6V1d5DxXT+9Jut8dy1NH+PLOQB3AQlmWJAarz8/PiWCMoz4K2OQeJm6iwyYq4Gcdv0MJg7//F7TA+hBZAqqrCMAy4rnuk7zjKjwxCVVWYprnvogBcqagbtHXdn2Qabc8wad4GbWfbtj0ThQMARE6M53lj5dXFscDMOoZWwp2nfhn/5+L78K31j+IlZ38VAPZtT/aL7zTFTerem3N+L4B7AeD2228fKt3fsqwDHQT9HIbhVfe32210u12USiWxt3kY/Q6NVkkHOb9o+HcQlINRKBT2iRqyhbZ+qJkT7VXHITqoudcshYrpNY1KdFJ4tLR9FqHKjXq9jlarddX7FRXSRL+46R99QcImzYvaOH5DVdV9vuMwgdF/H5WxVyqVI5vGHSSMBvmO6O8OE4l0QbAsC0EQoNvtighRu90WAohzfmh7hnEwTXNfrl3ek1qB3msaJ2cwzgVm1lmp3Ixnzr0aP2h8Cj/afj6evvDSfb8ncTKquCkUCrHnayYpZC4AOBv5+czefRMzzgqcMtar1ao4EclJDXIsSRMVNZxzIWoo4Y+qluKMnNDFp9lsphoqnjTEP+lzR0tRZ1nEEHQBpIveUReiYcRNHnvTjFu9V6/XRXm1pmn7xE4avoMEGYka8hvUK2XYysZRKBaLCIJARJHTSoqnis40iM6syuOk8HF43vIbsO48hIe3/xzXVF4IXT88gjWMuEmCJIXMAwBuYIxdj56AeSOAn07w+Q6EpkNHyxKzBPUxoBWV53nigIibtHvMUFiWcnemuaUzainqLBG9EDE2eufiQeLmONBut6+acZYlSJwVi0UhNoct3x6VaI+ZSdsdjAN16SUfNk0hQZWNx0nEAICq6HjJ6q+hZXfRbNpjbcMPEjdxk9inwTn3AbwVwF8DeBTAn3HOH07q+Q4imtybRRHTD/WTSDLxlEYbdLvdqbYjb7fboswZ6K10h5mFEhfjlKLOEiTeaItVcjjdblds0+ShLJ/ERVI+jhYfg7qjJwnlszmOA13X4bou6vX6wFEzST4/gJksCjiKinkKJ6tnwPaakmZxIG2iy2HO+WcAfCbJ5zji+cXe9iwkuMaJZVmiI2XSapkaEHqet2/v3rZtURJcLpcTdRCTlKLOErS1aNu2EM2Sq6EBipqmzVRp7aREe8xQrl2S5y0lqodhKKJi9Nk0Gg0RjUpKvM16ZeOwUE5Q9HPP0vU0O5YkQKvVEmHh43oAHgb1zzlqKvgkeJ4nVk+lUklExWh1R3Oh6vV6YlGCOEpRZ4Xolt5BA1SPO9Eo7iyW1k4K5e8BOHIq+CQ4jiO2c+bn58Vii9ov0Fwoqj6Mm2hl47S3wbMIiRma25WlgbQzK2QcxxEXL7nqHEw0VExl6XFCTgbodWMeFAkxTVOs6mzbhm3bsSaS0gC8OEpRZ4Xo595oNKa2RZAHKIobhqEYwCm5GqoYTGIwKQkI6tkzPz9/lYigajyyYXd3N9ZBl8epsnEUotPgszSQdibPUs/zxEkgL16HQ6Fi2v+MQ2WTE6DPoFqtHrqaIaVPeTu7u7uxXFyjQzbl9sB+olVxUsxcIRrFPe4r8KOgHjO01RMHNMuKIrhHRcTIv1DLijh82HGsbBwFGkhKpehZEDMzJ2RIKaqqOhPNm6YBhdDjCBn6vr9vxs+woXnGGCzLEiHrSROBRx2yeRwhMcMYSyw8nyc6nY6I4h7HZPBxME0TlmWJRn2T0Ol0UK/XARwcwR0EHcdkxySJwMe5snEUqAKYcpjSFjMzJWRISQOQe9sjEkfIMOqIKMIyKrquo1qtiuqaer0+srAad8jmcYSiYQAyt+89TTzPE3NzZBR3NIrFohiFMc7ig/w2vf+DtpKGtYMafdLW1Kh+7LhXNo4CRbrjELGTMlNCxrZtkZglk3tHZ9xQMa1ioo5oknBsfyLw7u7u0InAsz4DJQmynMQ3DaLjB+KYoXQcKZVKYvExSuEAJfpTBHfSHi2TJALLysbRodxDioCnxcwIGTqBLMuSe5oTEA0VD9NjJlpxVCwWY20WNWoi8HGYgZIUWU3iSxoSb4CM4k4K5RUNWw1H+XBhGI4dwR1EfyJwvV4/MhFYVjaOTzQiN82+ZFFmQsjQEEbTNOVBGAN0YFLFz0F0u12x9UN71HEzbCLwcZqBkhRZTOJLGoriyhYNk9PfMO+gSAhFcClySsm6cRMtNDgsEVhWNk4ObcXRMORpk3shIxtXJQNFtlqt1lWhYs45Wq0WbNuGqqqJOSLiqETg49o+PAmiSXyzLmYcxxFRXJnUGQ9UOAAMzrlKMoJ7kD2HJQLLysb4iHYOj7MUfhhy7fFpb5tWAnIVHh/9jdMoCkKigVYw0xQOgxKBPc+TIiZmyKlTAuwsQlunhmHIKG7MUFSU/DOJYRIS1KPHsqyp+exBicCdTkdWNsZMuVw+cAGcJLn1+hSelI2rkoPEDPUaoaokSqgulUpTF4/9icCyfXgyZCWJLwmCIBDRRNmiIRko54q2KWlrR1VVzM/PpxIB608EpuIEWdkYH2l1Ds/t1b/dboumSbJxVXJE25HT1Nu0HFEUSgQ2TVOKmITIQhJf3MgWDdODIh2e5+2L4KZ5rkYTgQuFgjwGEqC/c/g0xEwuFUC32xUnhiyTSx4KFXueh0KhkJkTX66ok6dUKoFzDsdxwBjL/TZMtO28FL/JQ/6ZJnNnBcMwMmXPrEEL4Hq9jmazibm5uUQDDrmLyIRhKBtXpYCmaYlOmZVklzST+OKk2+2KKK5s0TA9CoWCFA3HkGl2Ds+dkKGseLmvKZFMj2gSX1JTypPGNE2xpSCRSJJnWp3DcydkgF71ikzulUimRzSJjzqg5hEZGZBIpss0OodLNSCRSIaCStxVVUWr1ZrpHjMSiSQ+op3Dk2iYl8tkX4lEkg4kZjjncmtXIpEMDc3hSyLJXgoZiUQyEnJbVyKRjENSlUvSI0kkEolEIsktLEv73IyxDQBPDvnnJwBsJmjOOGTRJiCbdkmbhieLdo1i07Wc85NJGTIDfgPIpl1ZtAnIpl3SpuGJ3XdkSsiMAmPsbznnt6dtR5Qs2gRk0y5p0/Bk0a4s2jQMWbU7i3Zl0SYgm3ZJm4YnCbvk1pJEIpFIJJLcIoWMRCKRSCSS3JJnIXNv2gYMIIs2Adm0S9o0PFm0K4s2DUNW7c6iXVm0CcimXdKm4YndrtzmyEgkEolEIpHkOSIjkUgkEonkmCOFjEQikUgkktySOyHDGLuHMfZ9xtgPGWPvStseAGCMnWWMfYkx9ghj7GHG2NvTtolgjKmMsW8xxv4qbVsAgDFWZYx9gjH2PcbYo4yxf5i2TQDAGPuXe5/ddxljH2OMpTIimTH2x4yxy4yx70buW2CM3c8Ye2zvtpYBm/7t3mf4EGPsfzLGqtO0aRyy5juy7DcA6TuGtEn6jdFsSsRv5ErIMMZUAH8A4CcB3ATgTYyxm9K1CgDgA/h1zvlNAF4I4JczYhcAvB3Ao2kbEeH3AXyOc34jgOciA7YxxlYBvA3A7ZzzmwGoAN6Ykjn/DcA9ffe9C8AXOOc3APjC3s9p23Q/gJs557cC+AGAd0/ZppHIqO/Ist8ApO84FOk3xrIpEb+RKyED4A4AP+Sc/5hz7gL4OIDXpGwTOOeXOOcP7n3fRO8EW03XKoAxdgbAPwHw4bRtAQDG2DyAlwL4LwDAOXc557vpWiXQABQZYxoAC8DFNIzgnH8FwHbf3a8B8Cd73/8JgNembRPn/D7Oub/34/8DcGaaNo1B5nxHVv0GIH3HCEi/MYJNSfmNvAmZVQDnIj+fR0ZOfIIxdh2A2wB8I11LAAC/B+CdAMK0DdnjegAbAP7rXsj6w4yxUtpGcc4vAPgggKcAXAJQ55zfl65V+1jmnF/a+34NwHKaxgzgFwF8Nm0jjiDTviNjfgOQvuNIpN+YmNj8Rt6ETKZhjJUB/AWAX+WcN1K25VUALnPO/y5NO/rQADwfwB9yzm8D0ML0w51Xsbd3/Br0nOVpACXG2M+ma9VgeK9fQmZ6JjDG3oPeFslH07Ylr2TJb+zZI33HEEi/MT5x+428CZkLAM5Gfj6zd1/qMMZ09JzRRznnn0zbHgAvAvBqxtgT6IXR/xFj7H+kaxLOAzjPOadV5yfQc05pczeAxznnG5xzD8AnAdyVsk1R1hljKwCwd3s5ZXsAAIyxXwDwKgA/w7PfkCqTviODfgOQvmNYpN8YgyT8Rt6EzAMAbmCMXc8YM9BLrPp0yjaBMcbQ27t9lHP+79K2BwA45+/mnJ/hnF+H3vv0Rc55qqsFzvkagHOMsWft3fUKAI+kaBLxFIAXMsasvc/yFchWkuOnAfz83vc/D+BTKdoCoFcBhN7Ww6s55+207RmCzPmOLPoNQPqOEZB+Y0SS8hu5EjJ7SUJvBfDX6B0wf8Y5fzhdqwD0VjBvRm/l8u29r59K26iM8isAPsoYewjA8wC8P2V7sLfK+wSABwF8B73zIpX23oyxjwH4OoBnMcbOM8Z+CcAHALySMfYYeqvAD2TApg8BqAC4f+94/0/TtGlUMuo7pN8YjUz5Duk3xrIpEb8hRxRIJBKJRCLJLbmKyEgkEolEIpFEkUJGIpFIJBJJbpFCRiKRSCQSSW6RQkYikUgkEklukUJGIpFIJBJJbpFCRiKRSCQSSW6RQkYikUgkEklu+f+9HwlrUo+MswAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "def community_plot(df, data): \n", " nrows = int(np.ceil((len(df)+1)/2))\n", " fig, ax = plt.subplots(nrows, 2, sharex=True, sharey=True, figsize=(8, 2+nrows))\n", " ax = ax.flatten()\n", " p = ax[0].plot(data)\n", " ax[0].set_xlabel('time')\n", " ax[0].set_ylabel('amplitude')\n", " ax[0].set_title('Original data')\n", "\n", " for i, row in enumerate(df.iterrows()): \n", " ax[i+1].plot(data, alpha=0.15, color='gray')\n", " ax[i+1].plot(np.arange(row[1]['start'],row[1]['end']),data[row[1]['start']:row[1]['end'], row[1]['community']],color=plt.cm.Set2.colors[i])\n", " ax[i+1].set_title('Community: ' + str(i))\n", "\n", " plt.tight_layout()\n", " return fig, ax\n", "\n", "fig, ax = community_plot(tctc_df, data)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The multiple community labels can be seed in 0 and 2 above. Where 2 contains three nodes and community 0 contains 2 nodes. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Changing the hyperparameters\n", "\n", "Now we will rerun TCTC but change each of the parameters in turn and then display them on a community plot." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Changing $\\epsilon$\n", "\n", "If we make $\\epsilon$ larger, we will include more time series in a trajectory.\n", "\n", "This however can mean that the communities you detect are less \"connected\" than if $\\epsilon$ was smaller" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "parameters = {\n", " 'epsilon': 1.5,\n", " 'tau': 3,\n", " 'sigma': 2,\n", " 'kappa': 0\n", "}\n", "tctc_df_largeep = tctc(data, **parameters, output='df')\n", "fig, ax = community_plot(tctc_df_largeep, data)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Changing $\\tau$\n", "\n", "If we make $\\tau$ larger, it requires that trajectories persist for more time points.\n", "\n", "Shorter trajectories increase the change of more noisey connections. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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Me87Es+ftjsPayuLn9MJ2Y/VbO2kIRrnohXnMWVnPdYcO5fIDt0MIQfYN3zL75bvYaekjxKaPYd3+d1JywDgjNsfAYDNIKWlqaiISiaBpGhaLBZvNhhACh8OREREjpSQYDGKz2fB6vcRiMRobG/H7/djtdkwmE01NTQBbFDNmsxmz2dwhq0ksFsPv193d2dnZWK1W7HY7paWlVFdXU1tbSzAYpLCwEKu1Z5SYSNe2vEEIMQg9jRohxInEA3lbYW/gLOAgIcRP8dsR7Z+qgUHb0aTG1PlTueO7OyhzjWTFz+ewY1EZb+xfhbXqJzjoFrA6OnyeyPLlbJg+Hc9hh5F9yCFs692WZ056Bf8N53LPSSZCvnU88OXD7PDu81z6n++JKOqWB20nqzYEOGHGd/y0poGpp+7M+IMGb7wCM1sZc8ZElp3wEctFGSVfXkvljCOhobzT5mNg0BtJZCYlYmHMZjMulytpuUjHQpIO4XAYVVXJyspKBvj26dMHr9eLqqrJoOKGhgbC4XBGztkSkUgEn8+HyWQiJydnE6FisVgoLi4mPz+fSCTC2rVrk1ab7iZd19K2wBPAXkA9sBI4U0q5KpOTMUzEBpkkoka49Ztb+WjVR+yQdQizfzyA/Yf05dHTdsT1xJ66G+aSr8HUsasqqaqsPv0MoqtXs+1772LJz9/k+W/WfcM//+9mjvmongMXKJRnFfDNCZdw24RTsZozG6cyb3UdFz4/D01Knjx7FKMHtBz3s8Ef4r2nJ3NS/VOYzSZMh0zGNmYcZDh2xnAtGfQ2VFXF5/NtUhvG7XZjNpvx+Xwtxq205zwNDQ3YbDY8Hs8mz0kpCYVCNDU1EQqFkkX3CgoKMiaiUgkGg4RCISwWS9Kt1RKRSITq6moikQjZ2dnk5eV1Slp4umtHWiuWlPIPKeXBQAEwVEq5T6ZFjIFBJqkP13PhJxfy0aqP2Ml9OrN/PIijdyrlybNH4fr5eahfpcfGdFDEANTPnEno558puuXmP4kYgH1K9mHWyW/x67h9mXyqiSyLj1Oen8zr519LLBDs8PkTvPtzBac9OZtsh4W3Ltu7VREDkO9xctaVd/HSbq8wJ7Ydto+vI/TU4VC7ImNzMjDobSRcO6kiJisrC4fDQTAYxGQyZUxINDU1JUVSc4QQuFwucnNz8Xg82O12wuEwlZWV+Hy+zYzWPhLus1AohN1uJzs7e4vZSXa7nZKSErxeL01NTVRUVNDU1NRt1plWLTJCiGtaOzjTsS/GlZVBJljtW81l/3cZ6wPrGWa5iG9+7s/Ze27DxKOHY4r64eGd9RouZ7/T4diQ6Jo1/HHMsbjHjKH/Y4+2GgAnpeTF319kxrf3c+oXkoPnhvHlFTH8wfvIGrN7u+cgpWTGFyuY8vESRg/I5YmzRump3m3g89+r+OKVB7lWew63RcM89lbY47KMCD3DImPQW4hEIsl4lAQejwebzUY0GsXv9+N2u3E4Ou6ODoVCBINBsrKythjTksggCgaD1NfXYzabycvLIzc3t0Mp0Zqm0dTURCwWa5eVKRHfU1dXh6qqeDyeZFxNJsiURcYTv40CLkUvaFcCXALs2tFJGhhkmvlV8znjgzPwRf0M0a7jm5/7c9XYwUw6Zjgmk4Bvp0KwVrfGdFDESE2j8rbbERYLfSdN3GIUvxCCM4adwTMnvMRnJ27DHWeYCSiNlJ9zDpWT7kQLBNo8h5iqceMbC5ny8RKO2amYF8aNabOIAThwaBEXXnk7V+U9xv+iO8Ant6I9fShUL27zWAYGvZFgMEhTU9Mmhe2ys7Ox2WzJH+yOBtImUFWVYDCYDKTdEiaTCY/HQ05ODn369EFKSU1NDTU1NclCee2ZQ6IycVZWVrtcZQlrUlFREU6nE5/Px4YNGwgEAl1qnWlVyEgpJ0kpJwH9gV2llNdKKa8FdgPKumKCBgbp8sEfH3DBJxeQY/NS4LuW7xdnM/HoHfjHIUN0keGrgO+nw45/11sEdJCGV18jOHs2hTdcj7Vv37SP2z5ve14+6mV2OuQ0brgwxru7ZFH/8susOPoYAt99l/Y4vnCM8/7zI6/MLeeKg7Zj6qk7t54NtQX657p47PKj+Hq3h7kyOp6miqXIx/eDL6foBfgMDLZCUl0rZrMZTdMwmUybWBYikQiqqiaDfTtKIBBIuqzagsPhIC8vj/z8fCwWC3V1ddTV1eHz+dA0Le1xFEWhsbERTdPIzs7usDiz2Wzk5+fj9XpRFIX6+nrq6+s3qWjcmaRrkyoCUitwReOPGRh0O1JKnvjlCSZ8PYFheTuiVVzOL6usPHTKzpy798CNO35xD2gKHHRbh88Zq6ykesoUXHvugfekk9p8vMPi4JY9bmHK36bxyuFWbjvdSnU0yJrzx1F5222o8fTHllhbH+TER7/jhz9que/EkVx76PYZWWDtFjN3HjeCsSdfxhHqv/lEGwWf/xOeOBAqfurw+AYGPYlEvZRIJILFYtlExCSCVxNBt4nU646SqEfjcrna5RYym83k5uZSVFSEw+HA5/PR1NSUdlZTNBqlsbERIcSfMpM6gtlsxuv1kpubi9VqJRAI0NDQ0CWxM+m+i88Dc4QQE4UQE4HZwHOdNqu/OFoXm+V6MzEtxh3f3cG0BdM4oORvVCw+i5VV8OTZozhul5KNO1b/DgtmwugLIG9gywOmgZSSyokTkZpGv8mTOyQgDiw7kPdPeIu6gTtwxbl+vtinhIY33uSPo46m6csvN3vML2sbOH7Gd1Q2hnn+/N05eVTmi9odu3MJz44/gimeG7k49g8C9RXIJw+C/5sEsc5NATVoP8a6kT6prhWr1YqiKMm049T6MOFwOFmUrqNompZ0KXUkzkYIgcfjobi4GLvdTjAYTFYebs06EwqF8Pv9WCyWP73OTJCwMnm9XpxOJ7FYLCmyotG2VSNv03nT/eALIXYF9o3f/UpKuSDTk/mrBu0ptbUEf5xL8McfCf74I5GlS3Husgv9Z0zHkpvb3dPrcaiayvKG5fy64Vfe/eNd5lXN46RB5/H+VyMJRVWeOXc0o5pn7Lx0Gqz6Bq78Cdx9OnT+xrffpmLCjRTdfBN5Z5/dobESxFSVk1/6F8uUVxlZ5ebm/zkwr64g59hjKbr1Fszx1MyPf1vPVS8vID/Lzn/OHc3gIs8WRu4YgYjCzW8t5POfljK9z+vsG/gE8ofAsdP1hpdpYAT7dh6pjQkVRUHTtIylBm+NpJb1D4VCAFitVqLRKBaLhezs7E0uTDRNo6GhAavV+qf06PaQEE5erzdjIkJRFCorK4lGo7hcLqxWKyaTCZfLlRRLUkoCgQCRSASbzUZWVlanV+ZVFCVZTFBKidVqxWaz4Xa707ZEZbpFwWbjYaSUa9KaTZqkuyDFtBhWU8+oKNgeYlXVSdESnDuX6Ao93VU4nbh22QX7kCHUv/gi1uJiSp96Elv//t084+6lKlDFwg0L+WXDLyysWchvtb8RUvRFyGv3ctLAS3nm43ysZhPPn787w/o1632y+jv4z+G6S2m/6zo0F6WmhhVHHY19223ZZuYLiAxe0SiqxnkvvsX80CPYzBuYvGwkg979GedOO1H61JP8Z9567vpgMSP7e3nq7FEUeLqm54mUkpmz1zD53UUc6VrEv2xPYbM74PIfwbzl2hE9SchIKbuktHpnkdpXJ7W3jslkSrpCEo0H3W53r36tmSC1F1FLjRYjkUhSqDR/vxKtCTIhPBIZUem2G2gLqqpSU1NDMBjE5XIlu2onxIzf7293ZlJHaF4ZOSGw0p1DpoXMQuJVfQEnMBBYIqUcntZs0iSdBSmkhBj38TgO2eYQzh1+bq/4osYqKgj++COBuHiJrdb1n8ntxrnbrrhGj8Y9ejSO4cMRcX9lcN48yi+7HGG1Uvr4YziHt/OtbqqBcKPeZFCL6UGbaqyF+4r+N/GYFn9cVVBjEQKamVjudsRyBxPNGYg025BS/2BIKeN/ASSaJP6c1P+mbCcQAgQCkyn+V0BYDbLCt4RlDb+xrOE3ljQsoi5SA4BFWBiUsz1Dc4czLG84w/rsSF19Nle+/BP5WXZmjhtDWZ9mXxAp4elDoHEtXDFf70PUAdZeeRVNX3zBwP++hX3bbTs01uaIKhoXvPAtc3z/wer9kRPXlnDyzDWs235nLh5yKoeMKOHBU3bGacusSTgdfi5v4LJZ8wn467nzgByOPnhsWt+/niJkFEXB7/fj8Xg6pXhXpkn03UltLpgqXBIdk61W6yY/sonCZi39OKeDJiU1QR+KpqFoKqrUUKVMbsc0FVWTKFJF1eLPSf05RdPQpIaiSVSpElYVrMJEgdNDkSuHXLsThNjYzDCxRiTvbdrgUEs8E19b+tjduK0bRXxqf6Dm3aGbC73UWyQSIRwOtyj6EsXq7HZ7m4Ny//R+xi07ZrM52RAy06iqSl1dHcFgEKfTmRTtUkosFkvG0sbbQyLVXNM0vF5v2nE5Ge21JKUc0WzwXYHL0ppJJ9DP3Y8H5j3A8obl3LHnHdjMHQ/A6ghSSt5a/hZfln9JvqMPpX4bZSv85P2+HvvC5VBZDYApJwfXbruRe+ppuEaPxjF0e0QLC6prt90Y8OIs1lx4IWvOOpuSqVPJ2nef9CelROF/k+G7hzPxEkEKssVGFaJIE6tlEctlCctlMcu1EpbJElbIYkKk+2XRMNmrMDvLMTnXYHasxWSvQsTPo0X7oIZKUUN7oIZK0SLFzJUWNv5kLQNgWL9snjt/NIWezZx38Tt688VjpnVYxPg+/gT/J59Q8I9/dIqIAbBZTDxx5l6Me87KnHVDeK/sbRr/5uDCjxYww+Xh4LtnYLZ0vYgB2KnUy3tX7MM/Xv2JZ5fFOOIgicXc8y8kmtPY2JhW7Y6uIJHWq2la8kdHVVU0TUs2/RNCYDKZsNlsSfHSmnUgEUSaiJfYUpXW5lQHfDz1+7esDtZn4iVmnFNKRjIyu29SrCT+JuJCEp2fExYXs9mMEAJVVZMl/xM4HI7NFqMDXRAmrBodJZGO3FFB1BqJIGCTyUQ4HEYIQWNjI1arlX79+nWbiAG9R5TFYqGpqSlZoTiTpB0j86cDhVjYXOB0lHSvrKSUPPbLY8z4aQY7FezEQwc+RL7zzxVVu4JgLMjkHybzx+fvcNSvDgatDJPr179QPicsLhMsKhUsH2gjXFZEQVYRRa4iClwFFLoKN9kudBViN2+6uMaqqim/+GIiy5fTb/JkvMcft9l56FdAin6rXYb6zhUoVQtRRpxIpHhXIgIiSCJAGI2AqlERDLO+KUxVIExVKMyGUISGcARFaGgmFSk0nA5wOsBhk9jMKlYtglUNY1FD2JQQVjWIVQlhkhomQACa2YFmyUK1ZqFaPKhWD6rNAyaHvjAjqItUUh5cSlTTA0ddZg/9XdvT3zWU/q7tKXYOwWXJRtP0KzUtfsmmxS0/mtSv4qxmweEj+pHt2MwXQ43B9DFgtsIl36blBmkJpb6eP44+BmthIQNeeTlpOessglGFc56Zw9x1y3CVPs/f51Vx2pcquWeeQdEtt3SrJVLTJP6wQo4rs1dV7aUtrqVEloqiKN0eS5KwECXKz6daXBI/wgmLi8ViwWQytXprTqKAWyILpyXxk/ob8EPFCl5eNR8JHNp3CF67C7MQmBCYhQmzMBGORamPBqmPBqmLhKiPBamLhgjJjX2ELQgKbG4KbG6KHB4sQuCPRfDFwvjVKH4lQpMaJSw3unpMgNtsI9tsJ9tiJ8dqx2tz4bU5sZjMxLuF0c/mxiU2fpebW1sSwqWl15h6XEtZSIn05Ex8RhL/h85wKW0ORVGSPaIScUBZWVnJbKLuJOFeSpdMu5ZSK/ya0Ivh9ZFS/i3tGaVBW4P2Pln1Cbd8cwteh5dpB01jaN7QTE5ni6xsXMktH1zFPm8t58BfJOa8PNx7jMG2264EdxxIXV8nVaFqqgPV1IRqqApWUR2spiZYQ3WwmrD65+yPHHsOha5CbCYbqlRRNAVzMMpZMysYsiLMO2M9vL+PHUWqKFIXLqpU0WT6NQRaQ2DCarLjsNhxWhw4LQ5sZhsOswOLyYJEokkt7krStzWpIpUIWiyEVMJINYKmRNDUqL4PcfeTyYxmsqKZLRS4+zKiZC8fjgo4AAAgAElEQVRG5I9gZMFIyjxlmf9xnvMkfHAdnPYybH94h4aqmDCBxvc/YODrr+EY2jWfM384xt0f/M7+Qz28X/FvSp//H0fPkeSNv5yi8eO7ZA6ZoCcJGeiewMfmRCKRZLqs3W7H4XAkXUQJwaFpWou3zZEqaBLrekIsAbjd7k1SijeZjxrj7XW/8VNTFcW2LE4pGYnNbGF9yEdVpInqcBM1sSAbYkFC2kbBYhNm8q1OCqxuCu26aClyeujjyMKcUliuJYKxCFVhP+tDfqrDTVRHmtgQC1KvbFwbBZBrcZBvdVFgz2J0QRnbZOcnhUtHKtu2RKJFQW5uboc+G5qmbZLq3FWfM0VRCIfD2Gw2/H5/sj9Uov5MbyGjriX06r4JFOB94I32TCyTHDrgUPp7+nPl/67k7A/P5u597ubgbQ7uknN/svJj3n3yJq76OIwnJOhz0YXkX3YpphTz3TatHC+lxB/zUx2opjpYTXUo/jd+i2kxLCYLFmHB4rUw57odsT67gGM+K2dHrS8Lz9kDi9mGxWTBbDJj0TSsSz/BvP5nLN4BWHY6nXnVJt77pRpFMYO0YMFGvxwPpd5sBvTxMig/l8EF+t8suxO72Y7FlMEPuaZB4xqoWQo1v8OGJVCzBCqXQGQZeHaF3f4Glk5wDUb88OW/YJu9YchhHRqq6csvaXz7HfpcekmXiRgAj8PKPSfoRs9Dhz3MI95pfPGvxzngkelEPXZKz7mwy+ayNZFIETWbzQSDQRobG/F4PBlPRd0cCRHV0NCAoih4PJ5kCfy2sCWRk/hxN5vNWK3WZMBlInMENgqM8qY6nv9jLhtiQQ7I35ZDSoby0h/z+NVflTyfw2ShyJ7FiJx+9HVmU5LlpSQrlzyHnoHS3h/oHKAfhX96PKLEqAw0UhFooDLYyPqgj/VhPysayhno6cOgvL4ZqemyOaLRKIqiZCRYOuE27EoRA3qn6oQbK+FuamhooKqqir59+3bJZ70rSdcic5KU8rUtPdZR2ptGWROs4erPr+aXDb8wfufxXDTyok770MS0GI9+dCd5099gtxUS8w7bU3b3vV3yAyc1jZoHH6T2yafIGjuWkn9PweR0wrr58MY4vRHi/hOI7nUNk95fwqzZa9hvSAGn717G4KIstslzYclwt+V2EQ3CxzfDvP9AyW7w96c7XNvlT3x+D3x5L1zwGfRvvzFAbWrij6OOxpTlZuCbb2LqpMUzXT5c/h5119zIzstUTBOvYdgpPV/M9DSLTCrRaDTZW8fj8XSq6V1VVerr65N1PHJzc7sssyjVpZYI+pRS8umaRbxdvhCn2cq5g8dQ4PQwY9FXVIX9jO07hGG5fSnJysVrz0xF244SjcXw+f0IKXE4HBmrtJtKQ0MDQIfFR8Kl1N0uTNAFtM/no7a2FqvVSnFxca8QM5l2Lc2XUu66pcc6SkcWpIgaYeJ3E3nvj/c4fMDh3Ln3nTgsmQ1uWu+r4JV7zmXf98uxYqHv1f8g/5xzMpqCmw51M2dRddddOEeOpP/5u2KZfR9kFcHfn6QmbzcumzWPH1fVc+kBg7ju0O0xm7p/Adosv/0X3r1St9wc/RCMODEz4/qr4OFdYPDBcPLzHRqq8o6JNLz2GgNeehHnTjtlZn4dZFHFApaffy4D10SpvfNiDjjx6u6eUqv0ZCEDGwujaZrWaUHA4XCYmpoaotEoHo+nW+IVpJTJNNyYGV5Z/ROLfFUM9RRy/rC9KPfX8dTS7wE4f/CejCzomWUfEgHS4XAYs9mcUWtaIkW6o58DKSUNDQ1d7lLaEk1NTVRVVSUDgLs7ZmZLZMS1JIQ4HDgCKBFCpKa/ZKO7mHoMdrOdu/e5m+282zF1/lTW+Ncw9cCpFLkz00lhznevU3P7JA5dqxAcNZTt730EW/+SLR/YCeSdeQaWbDsVN93O6lvnUXr+AdjOeYKFdWYueuQb6oNRHj5tF47Zqbhb5pc2w4+Dkl3hjQt0i9KKz+Hwf4G9g5H9X94LagTG3tGhYQI/zKbhlVfIO++8HiNiAHYo3oX8599m0aknkDPpcZ5Tqznr5H9iEj3A2tYLSaTENjU1JbMqWspkaQ+JvjNCCAoLC7slJgc2VoOdt3YFL61ZQEhTOK7/CP62zXA+WfMbb5f/SoHdzWXD96evu3NShDNBolFhwmXW2NiI2+3usABNCCSLxdLhsbrLpbQlsrKyMJlMrF+/noqKCvr169dpLrquZEsrXwUwFwgD81Ju7wAZDfTNBEIIxo0Yx9QDp7KycSWnvX8av274tUNjKuEQH998Ds4LbqOwXmKZdD27vvBmt4kYAJb/H9lLbqRsbCOKlsWqWev56ONfOPGx7zAJweuX7NXzRUwCbxmc+wHsdz38NAueOAAqf2n/eBuWwbznYLfzoM+gdg+jBYNU3nYb1m3KKLjyivbPp5MoLBzA7i+9Tyw3ix3ueYtJsy4gEGt792wDnUR3YYfDQTgcxufzdbjcfywWY926ddTW1uJwOCgtLW13XZdMoGgqbyyfx1Or5mA3W7iobDSjvSU8vegb3ipfyA45Rdy0y2E9WsSkYrPZkoXqEiK0I/+zTLUiiMVihMNhHA5Hjwysdblc9OvXD03TqKysTGY29Wa21P36Zynlc8AgKeVzKbc3pZQ9s8gAev+aF454AZvZxrkfncsHf3zQrnGqv/uCOYfuQ9mbc1g1pj9DP/yYwaec330KW4nCJ7fCzL+DKx/XLZ9S+vJr+FVBwW1Xc4K2lrfH782OJb1jIUpitsBBt8I570C0CZ4aCz88lqiA1TY+mwRWJ+w/oUNTqpn6MLHycvpNnqzHIfVAXEX92GnWm9icWRz60PeMn3ky5f7y7p5WryVxpe92u4nFYsnMlbaScOGsXbuWcDhMfn4+xcXF3fqjVh3wcd+Cj/l0/VJG5ZVy26gjKcrJ5ZGl3zC3fi2H9h3C5SMOxGntXVfnid5ITqczmQmmKG13Fmialiwi2BF3S6KSbaKCbU/F6XTSr18/AKqrq7uksWNn0qqQEUK8Gt9cIIT4pfmtC+bXbobkDuHFI19keJ/hTPh6AtMWTEs7RVn1+Vh0wxXUnn8psWiI5RPP4KhnPsFT2I1WmNoV8Myh8N00GHU+XPg/Gj2DueTrOi7c/VIi+X05+52Hsfzfh903x44ycD+93sugg+CjCfDSqRCoTf/48jmw+F3Y60rIKmj3NIILFlD3/PN4TzsV9+7p9RPqLuylpWz/3Cy8uDjnyVVc9MopzK6c3d3T6tU4HA6ys7OTqbOxWCztYxVFobq6mqqqKiwWC6WlpXi93k6c7Zb5oXIFd/30EevDfs4ZtDsXDN+Xcn8d9y/+gtpYiFP7jeCg/EHIFtK6ewMul4vsbL01SWNjY5utDKFQCCllh12KCZdSd7kP24LD4aCwsBCz2Ux9fX2rzSZ7Oq0G+woh+kkpK4UQm80kllKuzuRkOqP5W0yN8c/Z/+TNZW8ytmwsd+9zNy7r5pWylBLfJ5+weuKtmBua+HzvLPa7fTojy7r5x+znV+D9a8BkhmMegR2OYVmVnwufn8u6hhB3HrsjJw/LZe2VVxL8/gcKrr6aPhd3XuZWpyMlzH4cPr0NXH3ghCdh4L5bPuaZw6DuD7hyQbvjbLRolJXHn4AWDLLtu+9g7sRKnJkkuGABq887j3V5cNupkiv2ncBpQ0/rEZ+Bnh7s2xKqquL3+1FVdYvl3RNp1XV1dSiKQk5ODnl5ed36/oeVGC8unc3s2jWUOr1cOGxvitw5fFH+O6+uXkCOxcGlO+xHsSsHn88HQHZ2do90h6SLpmkEAgGi0ShWqzUZE9IamWpFkCiil4mWBl1JogRB4nPek1p4ZCTYV0pZGf+bUcHSlVjNVibuOZHB3sFMmTuFsz88m2kHTaNfVr9N9otVVbFu0kRC//uC8iL44fpdueb0R8h1dGP36Ygf3r8OfnkZyvbUf9C9pXy6qIqrX16A02bhpQv3SHZ6Lnv8cSpuuZWahx4iVrWevrfe2uUZVRlBCNjjEthmT3j9fHjuaL3Z4/43tlydd8kHUP4DHPVgh4KFN8yYQXTFCkqffKLXiBgA1y67UDptGlx6KZPf8XCD6W6W1i/lljG3YDX37MyEnkoiCNjv9xMIBFBVdbPpvgk3VCKtuqioKKPBwu1hVeMGnlryLRsiAcb2HcwJ2+oJpi/8/j3f1KxkcFY+F++wLx677jbNydHFTKKmTm8NAE3EOoXD4WS9ni2l1QeDQYAOuYJSXUrd/b9vKy6XKykAE3FCPaWFR7psySLjZ2OzSNCLLMrEXyll9mYPbCeddWWV4Nt133L9l9djNVuZeuBUdi7cGalpNLzyCuv//W+i0RCv7iMoveAyLtzlEsymbhQBqbVh9rsB9rseTZh55PPlPPDpUkb2z+Hxs3ajX86m8RtS06h54AFqn3qarIPHUvLvf29SpK/XEWmCD2/QA4FL94C/P6kHCKeiKvDonrpV5rIf2t2KILxoEStPOpmco4+m+N57MjD5rqfxvfepuP56qnfdhisPLmfnvrvxwAEP0MfZp9vm1FstMqkkFvnUq3xN0wgGg/j9fsLhMG63u9vLwDevDXPO4DGMyO+PLxLisUVfsaKplv0LB3Hy4FFYmq1vm6s105tRFIWmpiZUVcXpdOJ0Ov8kQjPViiDRqLM3i8DE51hKidls7hH1bzJaR6arSHdBuunNhSiqhknEOycLvXOySQhMQiCS28Tv69tmk6BRWcdndffQpG7gcNOZHPvyt3hXLGbhADPPHeFmxHbXUercZZPzpfse5TitjB6Yx5BCD6a21m5RFahfCdWL9SaHPzwKWYW6FWbA3gQiCte99jMf/rqe43cp4Z4TRuCwtiy06l6YSdXdd+PcaSf6PzoDS243WpYywS+vwXv/AJNJbwC5w7Ebn5v3LLx7FZwyE4Yd3a7hZSzGypNPQampYdB772Lu5riGjlD34otU3TmZpoNHc/mYReQ4c3n4wIcZ1mdYt8ynpwiZlY01fLb2dwQi2XldCDAhkj3Ako+zcS3R74GmaihKDJMwYbVYkl2WQc+gsdvtm+nxk95rKHRmMTSvH7mOtl/Nh5Qo6/z1VAQamLehnN/91cnaMDl2F6saN/DY4q/xKxFOHbgr+5YMaXGs1FozPeGHrKOktqNIVLtNrTnj8/lQFKVDrQh6q0upOYn/fTQaxWQyIaXsthYeCTLdoiDR8XofdIvMN1LKBWkccxgwFTADT0kp7033fK0x+49awjEVLd5EUJP6PyGxnWgoqEmJqm3cTjyP6SIGZD3L4W8/hS1o4pGjTHw+qJTQujP5rcIFLOnQ/LwuK6MH5DFmYB57bNuHYf2yNxalU2N6HEf1Yr1cf83v+q12OajRjYMMOwaOngquPNbUBrnohbksrfJz65HDGLfPwC1+sPLOOhNLYSEV11/P6lNPo/TJJ7CVlbV6TI9m5EnQfzd4fRy8eraeXn3YPSA1+PxuKB0DQ49q19BaOEzlLbcSWbyYkoen9moRA5B3+umo9fUw7RGezT+aK3eYx9kfns3te97OQWUH4bb2LtN3pmiKRVjmr0HvP6o3H032DEtux59L7iM32b9TWQH5NjfbefIZnFPI0Ly+5Ds3docJxqKsa6pnXVM9lcFGKkM+qsJ+GmIb+xJZhZnjSkdw2DY7IoTgh8oVzFwxF6fZwjU7HsQg75/bAaSSqDUTCAQIhUJomtZl1Yc7g0Q7CqvVSiAQ2KTmTDQaJRaLdag6cCKOKlNdsruTxP8+Ie5sNhvRaDTZLX5zzTh7CulW9r0dOAl4M/7QccBrUsp/tnKMGVgKHAKsBX4ETpNSLmrpmK4wEQOEly5lzbgLCIZ83HGiwqj9T+Ufu16HzdyySTCd/9/6xjCzV9Yx+49a5v1RhblhJUPEWobbKhjtqmYQa8kNrUGkdInFuw0UDoOC7aFgqH7LH5KM8/h2+QYuf3E+UsIjp+/CvoPblo0TnD+ftZddDkJQ+ugMnDvv3KbjexxKFP43Gb57GAqGQelomP88nP8xlO3R5uFilZWsHX8F4UWLKLj6avIvvqgTJt31SCmpuutu6mfOxH3FxdwycB4/1fwEQKGzkAE5AxiQPYABOQMYmDOQAdkD6Ofu1ynu1J5ikckEoVCIRp+PUDiE0+mKuxJadyUJWl88NCTl/jp+r1/PMl81f/hricS7QtuFGZvJjCK1TZo1WoSJQnsWRU4P/Zw5FLtzKMnKpdDlwWIyo0nJG8vn8X/rl7KNy8ulw/dvs7Un4S6xWq3dWv8mU6iqmix4aLfbURQFKSVer7ddry21vUVvD5JORdO0ZAaT0+lMZnQByaamJpMpuZ243xlkukXBEmAnKWU4ft8J/CSl3L6VY/YEJiY6ZAshbgKQUrYYfJD2gvTLa7qLweJodrPrNUQs9o33Lc5NYiZCv/5G+QUXIKxWyp55mkBpH/IceZs/jxqDWAiUMMSCEAuDEtIfSz6est1UnWJhWQHxxUhDUCmKWKSUsEyWsMZUirV4OP23G8mowSWMKPFis2z6QZBS8sy3q7j7g8Vsm+/mybNHMSC/fVfS0VWrWHPRxShVVRRPuY/sQw9t1zg9iuWfwVsXQ6BGt8ScOqvNQwTnz2ftFVciw2GKp0zBc9CBnTDR7kNqGhU3TMD33nsUTLydn/cqZGXjSlY2rmRV4ypW+lbij/qT+9tMNsqyy5LCJvF3QM4APDZPK2dqnZ4iZGpDTSyuq8RiMmEzmbGaLVhN5mbbFqwmEzazBavZginlBy4UChEMBpNxMiLutm6OlJKYphJRFWKqSkSNEVWV5GNRTSGmaUTj21FVYUM4oHeaDvvxKZHkWInRE6u0y2RhgLsPO+b1Y4e8Yvq6/1w5NhiL8MSir1nsq2b3PmWctf0e2NoZN5Yo2W82m8nOzu60H6yuQkpJKBRKpme3N6g18VmwWCx4PJ5e/740J1F6QEqJx+NB0zRUVd3klooQYhNhkypwOiKAMy1kPgeOl1I2xO97gTellAe1csyJwGFSygvi988Cxkgpxzfb7yLgIoCysrLdVq9OI0FqcqFegj5dhBksDoIbHJT/nx2zA8qO92DLd4HZBkokLkZCulhJbGttLKwkTJC3bdyykmphGQxWJ9X+MHNW1jH7jzpmr6xlaZWu5h1WE7uW5TJmYB/GbJvHsH7Z3PnuIt6Yv5ZDdyjigVN2JsveMbWv1NWx9tLLCP3yC0U3TiDvnHM6NF6PoKkafpgBo8aBt7RNh9a/+irrJ/8Ta3E/SmfMwD6o/VWAezIyFqP88ssJfPMtJQ8+SPbfNopYKSV14TpW+VYlxc0qn35b61+LKjcuVvnO/KSoGZA9gMHewexVsldac+gMIdOedWNe1SqeWPpdm85jFgKLMGMRAjNCFztx0QMQ01RimkZMqsltRaptdkNZhZkiRxZ9m1lYClweQLDWX8eS+vUsjVtsmuJuaI/FzqCsProrKrcvJiGYsegraiNBTigbycFlO3TYkhKLxZLuk56UmtsREvFNzjYWu0xkJ0Wj0W6PH+lsVFWlsbEx2S8qVaxJKTcrblI7sCdobsGxWq1p98bKtJD5LzAa+BT94uAQYA66ywgp5ZWbOSYtIZNK2haZupW6+FDCKX/Dm96PbXq/6dfVrH3qe6xeB2Xn7YDVLfV91KhuvbE6dOuNNX6zOFrYdrawrwsc2boVKE1qmyL8uKqOH/6oY/bKOn5f79skOPCqsYO5auzgtgcOt4AWDlNx/Q34P/2U3LPOoujGCd2Sni2jURAC0Q3ZHTIWo+qee6l/8UXc++xDyf3/xpzTyyohtxEtFGLN+eMI/for/e68E+/xx23xmJgao9xfzkrfRoGzsnElq3yraIw0MiR3CG8c80Za5+8pFpmIEqMuHCCqKihSi1tJNGKaQlRVUaRKTFWJSZWoqgsTRaoEI2EisRianj2gCxap6cGQJjPW+G2T7RRrjy3F2mMzW7An7qdsZ9kcm1h/WkNKSUVTA7/XV7KssYYVTRs2seK4zVbGDdmL4fmZK+CZaKwppSQrK6vbMnOklN0mHFLrCrlcrjaLoN6Ioij4fD6EEGRnZ6clQKSUfxI4qVactrx3mRYyrV6+x9sYND+m81xLbcT36adUXHMttkGDKHv6KSx9ui8VtTUagzHmrKpj/pp6dh+Yx4Hbtx6Y1x6kqlJ93xTqnnuOrLFjKfn3lC4rwS8VhfqXXqZm2jRMdjv5V16B9/jjEV10hafU1bHuqqsJ/vgjeePOp/Caa3pnnZ12oPp8rL3qKoLf/0DeuedSeP117X7t9eF6GiINDMwZmNb+PUXItIempiYikQgOh6PH1geRUrI+0Mjv9eupDvk5sGR7Ct0ZrYwBbIydSKdAYGecOxgMJrOP3G53l1qGElYpoFuFXHeQydeuqqqeRZymK67b06+FEBb0YN+xwDr0YN/TpZS/tXRMZyxIjW+/TcXNt+AcMYLSxx/b6q++06Xu+ReouuceHCNGUProjE4Xd4Hvv6fq7ruJLFuOe6890YIhQj/9hH3wdhRcey1Z++/fqVda4cWLWXv5eJQNG+j3z8nkHHNMp52rpyJjMar+dZ8eALzvvro1KjvzP3jN6Y1CJtWFsDWkIWeKrk7PllISDoeTAaeJbKNEarDL5UrbTdFeEsX1zGYzHo+n08/XE0kVsV1pjUp37UhLFgkhjhJCLBBC1AkhfEIIvxDC19oxUkoFGA98DCwGXm1NxHQG9S+9RMWEG3GNHk3Z008ZIiaFvLPPov+0h4ksXcqqU04l8sfKTjlPdO061l5xJWvOOx8tFKb/9EcoffpptnnpRUqmTkWLRll7yaWsOedcQgs71qm8JXwffcSq089AqirbzJr1lxQxAMJqpe+tt9D3zkkEfvhB/7+v7Jz/e28mtZ6Gy+UyREwKiTgZu91OKBTC7/d3WrPBROpvIqjW6/WSlZVFbm4uTqeTaDRKQ0MDgUCgU3oEJcRsIBDAarWSk5PzlxQxsLE5p81mIxgM9rgmk+m6lpYDJwALZSfOPpNXVhuefJKa+x8g68ADKXnoQUy9qNxyVxL65RfKL7kUqaqUTn8E16jMXDhroRC1Tz5F7dNPg8lE/sUXkXfeeX/6P8hYjPpXXmXD9Omo9fVkH3kkBf+4Glv//h2eg9Q0ah5+mNrHHse5yy70f3gqloL2N5PcmgjOnatnbCkKJQ88QNa++3TauXqTRUZKmayjsTVUt+1MOitzR1VVAoEAsVgMs9mMy+XarDsj1d0khMDpdOJwODJi2U2tcmxY5DYlkZbfFRlbGbXIAOXAr50pYjKFlJLqBx+i5v4HyD7iCPo/PNUQMa3gHDmSAa+8jCUvjzXnnY/vgw86NJ6UEt9HH7HiiCPZMGMGnoMPZtCHH5B/ySWb/T8Iq5W8M89g0Kef0OeSi/F/9hl/HH4EVff+C7Whod3zUJuaWHv5eGofe5ycE/9O2XPPGiImBdeoUQx47TWsxcWUX3wxtc8+26OusLqDhPlcURSysrIMEbMFnE4nWVlZyYDQ5im5bUVKSTAYpKGhAUVRcLlcSSvA5jCZTGRlZeH1erFYLMljI5E2ZLRuhkSl3sTnwBAxm+Jy6fWTUt+n7iZdi8xoYDLwJZD8lEgpH8jkZDp6ZSU1jaq776F+5ky8J51I34kT/zLBnB1FbWig/PLxhObNo+Daa+hzwQVtvrIJL1lC1T/vIvjjj9iHDqXvrbe02cITW7+emmnTaHzzLUweD/kXX0zumWe0SYxGV62i/PLxRFetoujmm8g9/fStNkWyo2iBABU33oj/0/8j5/jj6TtpIqYMBzL2BotMagxAb+6X0x2kBoO2tzBcJBIhGAyiaRp2ux2Xy9XmK/1YLEYwGERRFMxmM263u819rxJ1cxLNJ7eGVPPOQlEU/H5/pzaZzHTW0idAE7AQSDojpZSTOjLJ5nRkQZKqSuWtt9H41lt6VsaEG4wfrzaiRSJU3nQTvg8+xHvKKfS97da0MoqU+no2TJtG/cuvYM7OpuDqq/CedFKHRGR4yVKq7/83ga++xlpcTME/rib7yCMRW1jcmr7+hnXXXoswmSiZOhX3mN3bPYe/ClLT2DB9BhumT8e58870n/ZwRq1XPV3IJFKLNU0jOzu7W5s+9lZS38O2CEFFUQgEAiiKkrFspFRRZLVacblcaY2ZaAy6tRa56ww62wWXaSHzq5Ryx4zMrBXauyDJaJR1N0zA/9FH5I8fT/7llxkipp1ITaPmwQepffIp3PvvR/8HHsDUQtqpVFUaXn2Vmoemovr95J52GgVXjM9or6LA999TNWUKkUWLceywA4U3XI97jz+3IpBSUvfMf6i+/37sgwfTf/p0bP0zV0fjr4Dvo4+puOkmzDk59J/+CM7hwzMybk8WMqn1UTwejyFiOkBbumc3j29J9D/KFJvLdmrJyqNpGk1NTcRiMRwOR4d6L/0VSW3Mmel2FpmOkflACNEj69pr4TDl48fj/+gjCidMoGD85caHsAMIk4nCa6+l78Q7CHz9DavOOotYVfWf9gvMmcPKE/7O+kl3Yt9+ewa+9SZ9b7s14w0X3XvuycDXX6d4yn0oDfWsOfc81lx0EeElS5P7aOEwFTdMoHrKFDyHHMKAl140REw7yD7sbwx4cRYIweozzuxwvFRPJ+Hjl1IalpgMYDKZyM7OxmazEQgECAQCf9on0SIgEcvicDjIzc3NuFsiEfzr9XpxOBxEIhHq6+sJBoObxIIlhGwsFsPtdvfqBpndRaIxp9vtJhaL0djY2OF4qTbPIU2LjB9wo8fHxNBbgEgpZUaLULT1ykptamLtpZcRnDuXvpMmknvyyZmczl8e/xdfsO6aazHn5FD2xOPYBw8mVllJ9ZQp+D74EEtxP4pumIDnb4d2yZdfi0SonzmLDY8/jtbURM7xx5F7yimsn3Qn4d9+o+CqK+lzySXGQtRBlGMID40AACAASURBVA0bWHvlVYTmz6fPpZdQcMUVW3TptUZPtMi0p2KpQfok3DSpZfxjsRiBQABVVbFarbjd7i5731VVJRQKJS1ACetMoumjYY3LDKnxUpl4TzNeEE8IkQcMBpL2Qinll+2e4WZoy4Kk1NdTftHFhBcvpvjee8k56shMTsUgTujX3yi/9BJkOELO8cfR8OprICV9LriAPheM67KqwKmoDQ1seOxx6mfNQsZimFwuiqfch2fs2C6fy9aKFo2yftIkGt94k6yxYyn+178wZ7Wvsm1PEzKpvYMMEdN5pKZnm0wmotEoJpMJt9vdbcHUiqIQDAaJxWIAW00zzJ5EaiuHjpYwyHSMzAXAVUB/4CdgD+A7KWVGfznSXZCUmhrWnD+O6OrVlDz00FbXtbinEVu3jjUXX0x0+Qo8hx5K4Q039AjXTXTtWhpeeZWcY4/Bvt123T2drQ4pJfUvzKTq3nuxDxpE/0dntKu+T08SMtFoFL/fb/yAdRGJ9xv0tN1M1XnpKNFoNBmg2hPms7WRWgHabre322WXaSGzEL1p5A9Syp2FEEOBu6WUJ7R5Zq2QzoKk1Nez6tRTUWo2UDr9/9l78yDJtrOw83fulltlZu3dXf2WFhISmKfNemBhQIDALJogELKw2WR7jEfjmbEnwtg4xmyBGItgzJiA8IDDMuAAZCNbmN1YGszYgDSY8ZOQeHpaHtqe+r2u7qrqqty3u5z5I/O7fSs7qzqXm5WZ1ecXkd1ZmTdvnsy897vf/v1fFL70S9NcguEMomaT3vPPk33Zyxa9FMMF03j/+3nh733P1JVgy6LIyEXVVKVcLJPO1zFcHmZtnpd2sm9Ha90Z7Dijtf44sJArmr2+TvFrvpbHfu5njRJzgViFglFiHlLWvuzLeNG/+7fYm5t87ru/m5N3vWvRS5oKx3HIZDLGE3PB2LZtvu+HlHw+HzdNnGfzvHGPrueVUuvArwO/q5T6DeC5uazoASiluPIPv5f8q1+9iLc3GB5KvBs3uPFv30Xhy/4it3/4bey/7W3oJejoOQnSCdaEEgyGiyOTyVAezDms1Wr0er3U32OszkNa628Z3P1hpdR/BsrAe1JfjcFgWFrsYpFHf+ZnOPiJn8C/dQtMkqzBYBgDx3Eol8tzGzI6cQvFtCuVDAbD6qBsmyvf+73oQd6DwWAwjINM0J7LvueyV4PBcKkxM8wMBsOyMHYfmYtAKXXI+Lk328DRHJczDcu4JljOdZk1jc8yrmuSNT2utZ7b6PFLIDdgOde1jGuC5VyXWdP4pC47lkqRmQSl1FPzLOmchmVcEyznusyaxmcZ17WMaxqHZV33Mq5rGdcEy7kus6bxmce6TGjJYDAYDAbDymIUGYPBYDAYDCvLKisy71j0AkawjGuCC1qXUmpdKfU/D+7vKaV+ZdFrmpBlXBMs57qWcU3jsKzrXsZ1LeOaYDnXZdY0Pqmva2VzZAzLh1LqBvDbWusnFrwUg8FgMDwkTNxHxmA4hx8DXqyU+hDwZ8AXaq2fUEr9DeCNQIH+BPX/E/CAtwBd4A1a62Ol1IuBnwZ2gBbwPwzGYRgMBoPBMJJVDi0Zlo//DfiU1vpVwPcOPfcE8Cb6w0ffDrS01q8G/gj4a4Nt3gH8Xa31a4B/APzMhazaYDAYDCuL8cgYLor/rLWuA3WlVBX4rcHjTwOvUEqtAX8ReHeiY2zm4pdpMBgMhlXCKDKGi6KbuB8l/o7oH4cWUBl4cwwGg8FgGAsTWjKkSR0oTvNCrXUN+IxS6lsBVJ9Xprk4g8FgMFw+jCJjSA2t9V3g/UqpjwA/PsUuvhP4bqXUh4FngG9Oc30Gg8FguHyY8muDwWAwGAwri/HIGAwGg8FgWFmMImMwGAwGg2FlMYqMwWAwGAyGlcUoMgaDwWAwGFYWo8gYDAaDwWBYWYwiYzAYDAaDYWUxiozBYDAYDIaVxSgyBoPBYDAYVhajyBgMBoPBYFhZjCJjMBgMBoNhZTGKjMFgMBgMhpXFKDIGg8FgMBhWFqPIGFYCpdT3KaV+dtHrMBgMq4WRHZcfo8hcQpRS36GUekop1VBK7Sul/qNS6ssXva5Z0Fr/qNb6bwEopW4opbRSyklj30qpa0qp31RK3Rrs90Ya+zUYVg0jOyZDKfXfKaXep5SqKKVuK6V+VilVTGPfhvExiswlQyn1PcBPAj8KXAEeA34G+OZFrmvJiYD3AH950QsxGBaFkR1TUQb+MbAHfCFwHfjxha7oYURrbW6X5Eb/pGoA33rONhn6wurW4PaTQGbw3FcBzwP/EDgA9oE3Am8AngWOge9L7OuHgXcD7wTqwNPAS4F/NHj9TeDrEtt/Fvjaode/c3D/BqCBvw58DjgCvv+MbT832LYxuH3lYG0vT2y/C7SAnQm+P2ew3xuL/i3Nzdwu8mZkx2yyI/HaNwFPL/r3fNhuxiNzufhSIAv82jnbfD/wWuBVwCuBLwF+IPH81cE+rgM/BPxL4LuA1wBfAfygUupFie2/CfglYAP4E+C99D1914EfAf7FhJ/hy4GXAV8D/JBS6gtHbPO6wf/rWus1rfXvA+8arFP4duD3tNaHAAPX70q7yA2GOWJkxz1mkR2vA56ZcN2GGTGKzOViCzjSWgfnbPOdwI9orQ8GJ+rbgLcknveBt2utffon+DbwU1rrutb6GeCj9IWY8Ida6/cO3vPdwA7wY4nX31BKrU/wGd6mtW5rrT8MfHjovc7jF4BvV0qpwd9voS8kAdBar2ut3zfBOgyGhwkjO2aUHUqpv0TfK/RDE6zZkAJGkblc3AW2H5DItgc8l/j7ucFj8T601uHgfnvw/53E821gLfH38HNHI16f3P5B3E7cb437Wq31Hw+2/yql1BcALwF+c4L3NRgeZozsmEF2KKVeC/wb4M1a62cnea1hdowic7n4I6BLPzZ9FreAxxN/PzZ47CJoAvnE31en3I8+4/FfoO8ifgvwK1rrzpT7NxgeNozsmFJ2KKVeTV/x+Zta69+bcl2GGTCKzCVCa12l79b8aaXUG5VSeaWUq5T6RqXUPxls9svADyildpRS24Pt33lBS/wQ8G2DNT0JvHnK/RzSrzT6vKHH3wl8C32B9IuT7FAplaWfzAiQGfxtMDwUGNkxnexQSj1Bv+Lx72qtf2vKNRlmxCgylwyt9T8Fvod+Et4h/ez/vwP8+mCTfww8Bfwp/UqBDw4euwh+EHgxcEI/vv5vptmJ1roFvB14/yAR77WDx2/S/zwa+MPkawZ9Mb7inN226VcxAHyce65tg+GhwMiOqWTH36ef2/Nzg+0aSimT7HvBKK3P8rQZDKuHUurngVta6x944MYGg8EwwMiO1SWV7oYGwzIw6Mj7JuDVi12JwWBYJYzsWG1MaMlwKVBK/e/AR4Af11p/ZtHrMRgMq4GRHauPCS0ZDAaDwWBYWYxHxmAwGAwGw8qyVDky29vb+saNG4tehsFgSJEPfOADR1rrnXnt38gNg+FyMq7sWCpF5saNGzz11FOLXobBYEgRpdRzD95qeozcMBguJ+PKjqVSZAyGReH7Ps1mE9d1cV0X27a5N3qFM+8LkmsWT2O1rJHbGQyGy0Wr1aLX6+F5Hq7r3nfuy/2z5EFyijOAbdvzX/QlY26KjFLqUfodEq/QbzL0Dq31T83r/QyGael0OhweHtJqtYiiCOgLHdu245sIoWGhM5wsL9vZts3m5iae5+E4DpZl0tEMhsuE1pp6vc7h4SG+758yYmaRHblcjnK5jOM4OI5jDKIxmKdHJgD+vtb6g0qpIvABpdTvaq0/Osf3NBgmotVq0Wg0qNVqFAoFXNclCAKCIMD3fXzfRymFZVm4rovjOHieF1tNSim01vdZXc1mk8PDQ9bW1rAsC8uycBwn3sewx8dgMKwOURRRr9epVqt0u11KpRJa61huyP9AfM7L+Z80apRSp2RHEASxh6dQKADEr5Wb8djcz9wUGa31PrA/uF9XSn0MuE5/lLvBsFC01jQaDTqdDtVqlUwmw87ODplMJhYuSimiKIoVGrG6oO9xkTDUKI9LuVymWq0CkM1miaKIIAjo9XrxNknhZrw2BsNqEIYhtVqNTqdDu92mWCxy5cqVOKQkiknSGAqCIH69nPNy3g8bNK1Wi2aziWVZZDIZfN+n07k3w1IpdUo5Ml6bC8qRGXRNfDXwxyOeeyvwVoDHHnvsIpZjeMgRa6rb7dLr9VBKsb29HVtAScQ9nM32Z0gmhVOn04kFTFKxkfBUuVymVqvh+z7lcvmUYiRen+Q+xGsjgu5BXpthN/XwLfm4fNaNjQ1c103vy1wQRm4YFoHv+9TrdXq9XpwXs7u7O/KcEnkA/fMwaRC1223a7TZKqVPGjO/7uK5LPp+P5UK5XEZrTRiGsdwYNops277P43seZ8mJ4cejKKLZbGLbNhsbG0urMM29IZ5Sag34feDtWutfPW/bJ598UpvqA8M8EWtKvCvdbpdsNsv29vbEHpGkK1mUkzAMqdfruK5LsVgkm83SarVwHIdSqXSfIBABlVRuRBGCvvUm28n/SUEzDmI5Ql9Z2t7eplQqTfRZZ0Ep9QGt9ZPz2r+RG4aLoNvt0mg0CIIglh0bGxtTnUvioRXZEYZhbNRks1nW19eJooher0c+nyeXy525j+RN5ILk+MGDc3POQmtNs9mMQ2Se53HlyhUymczEn3daxpUdc/XIKKVc4N8D//pBSozBMG/EmhI3r2VZZLNZisXiVGEdcfGK1RVFEcfHx2SzWZRSVCoV8vk82Ww2fu9isXhfRYN4YYSkkAvDMN5u1O2s54RWq4XWmlKpRCaT4eDggIODA5rNJru7uybebjCMQavVot1uEwQBtm0ThiGFQmGkF3ccLMvC8zw8zwP6sqnX65HL5QjDkKOjozi/rtVqAdynzAzvAzil1IRhGOf3wdlyYtTj4rUuFAoUi0V6vR5HR0c8//zzbG1tsb6+PtXnnhfzrFpSwM8BH9Na/8S83sdgGAexpkQx8DyPKIpQSsVhozTeQ8JUtm1Tq9VoNBr4vo/nebGreFiZGWaUgJoUqajwfZ98Pk8+nwfg+vXrnJyccHJyws2bN9nd3Y2fMxgMpxGvRLfbJQzDOIQM/dy3tAyBVqtFJpNhfX2dXq9HtVqlVqvFRlGz2RxLVg0bRdMQBAH1eh3oh7Vc1yWTyZDL5Tg4OODo6IhWq8Xu7u7M75UW88wu/DLgLcDrlVIfGtzeMMf3MxhG0m63aTQaseLieR7ZbBatNblcLpW4bxiGtFotPM8jk8ngOA4bGxtsbm5i2zbtdpter0etVqNer08UGpqUKIqoVqv4vk+hUDilqCil2NzcZG9vD6UU+/v7HB0dnQpnGQyG/nkkSb2ixORyuTipNy0DQDw9hUIh9hJvb2+zvr5OGIb0ej1arRaVSoVut5vKe56FKFFKqViJERzHYW9vj62tLdrtNjdv3qTRaMxVlo3LPKuW3gcsZ2aQ4aEgaU1JibTkrtRqNWzbTi3e22g0UEqdcjUrpVhbW8PzPGq1Gu12mzAMuXv3LmEYsrGxkcp7JxFrSsJJZyX25nI5HnnkEY6OjqhWq3Q6Hba3t1PzThkMq4zkukkY2rZt8vk8rutSrVZjhSaN92m1WrHXQ7Btm/X1dTzPi6srJV9lZ2dnLudpu92O8/nOC7dvbGzE3pk7d+5QKpXY2NhYqHfG1HsaLiUSWhELRilFJpOhVCrR6/UIw5B8Pp+KN6bT6ZyyqIbxPI/NzU3K5TKZTCaOgR8cHKRqzYg1BdxnTY3Ctm12d3fZ2dkhCAJu377NycmJ8c4YHmqCIKBarRIEQZwzUigUyOVytFotlFIjk2+nQQygtbW1+56T993Y2IgNolarxa1bt2g0Gqm8P9wz+MSjXCqVHqikZbNZHnnkEUqlEvV6ndu3b9NsNhfmnVmOAJfBkCJiTUmym9aaTCYTe0vE6pglByX5XqMsqmEsy4o9JI7jUK1WOTk5IQiCVGLNYrE9yJoaRilFqVQim81y9+5dTk5O6Ha7rK+vG++M4aFDcungXnPLYrGI53n0er04XHsRBpDgeV7cNsF1XSqVCvv7+3HS7SyeoWQuXTabnSh5WSogs9ksJycnHB4eUiqVKJVKF+6dMYqM4VIRBAG1Wi0OJWmtT52gUsUzbbXBMM1mE2Ds/eVyuViZqVQqVCoVgiBga2trag9Rs9mk0+ngeR5ra2tT7UP6YVQqFRqNBkdHRxSLRdbW1kxlk+GhQEIryW7dxWIx9my2Wq24Sd2sRFEUG0DjGAxiCHmeh2VZseIQBEEcgppmDbVaLa7AmsZwke/I8zwqlQrVapVer0epVEot/3AcjCJjuDT0ej3q9XpcchhF0akeDFEUxRf8NCyGbrcbW2iTXOwdx2F9fR3XdTk+Po6VIdnXuA3rZrGmRiHzoTKZDLVaLRZKa2trqbnSDYZlI5lLJ3JDPJUiJ6RqaVpDYRjx+kx6zmaz2bgy6fj4mOPjY6IoikvBx/XOJHPpRBGZhUwmw/b2dlypeXJyEo9ZuIgGnEaRMVwKxJqSE1lO7qSV0W630VqnUm0gHS8dx5nakllbW8N1XQ4ODmJPURiGZLPZB3pn0rCmzluX4zjU6/W4YkMUGuOdMVwmksaA4ziEYRh7P5IN5SQcnYY3ZloDSJCKSJEd1Wo17hxcKBQeuMZerxfn5qQZBpIEZdd1aTQa97V/mKd3xigyS0jU66D8LqpQXvRSlh4RMp1OB8dxiKKIKIruszKkc2ZavR8ksW1Ukt4kZDIZ9vb2uHPnDs1mMy5nFMVhlDWTtjU1CrH8RJlpNpsEQRA3+FvWVuUPO8kBpobzSRoDruvi+z62bd+X7NrpdIiiaOZzXd5zFgNISIa99vf3Y7khsuMs74ycy6M+ZxokDaFGo0G32407FJ8lz9LAKDJLQNRpEdz8OPrmJ1Av/BnW0U2Cl72WzDf+TSOUzkDmjoh147ouYRieWXacZrWBzC3K5/OpKEW2bXP16lWOjo7ivhXZbJZarRYnKctxMC9rahQSApPyz16vF7dmF2FlWCxyHkir++FwquE0yZlF4qHNZDJ0u92RifJRFNFut0918J6FtAwgQaqH9vf3Y4+0zHMb9s5ILp20oJjntSVpCMlcqlHyLC2MJFoAYatOKIrLrT/DuvsCttZoyybafpTgla+nc+2ldKrVuWjNq8aDZopkMpl4gNqoi7sMWEuj90NaFtUwlmWxs7MTVzRJd1+xaIrFIt1ud67W1CjE8nMch1arFX/39Xqd9fV1o2hfMMm5XKK4wL1xGeKhlNDqw87woMXkFGoZtNjtds+8uKcZjk7bABJc1+X69evcuXOHdrtNPp/Hsqy4CWg2m6XRaNDr9VLJpRsXx3Eol8vxe4tXfLjfVirvlereLgCtdazZrUp5aNioEn7uY+jnn+0rLsf72Gi05RDtPkb4578e69EvwH7k83G8/meyB7N5qgNlZtoD/7yBYeM8lnwuiqJ4GvR565mll4DW+j7FRcYKwP1TXrXWpzwUo9Yl7b3TsFLFopqHVaGUYmNjA9u24+6atm3HVqFt23ieN3drahS5XC52FwdBgOd5K6fEBEFAo9FYKW+SKC6ivAwrLnIeJD+PWN4SDpnmd/L9kE4vIIo0QRgRRZpQ/o80YRT1/4+f0/FzkTwX9R/zgxDXsdgo5dgqZ8nlPNCgERkDGtCRJn508Fj/eX3q70LOJePdf57LENdRBg8Qt1yQZP9ut0u73T6z2k8uvNKpexbmZQAJ0hPq5OSEVqtFPp+PDY56vY5t26nm0o2L5BtJDqN4wNJmNc7mIWT2RJpNzWal9/T70J/+UyiU0E4G3WmiGidYJ/vY9bvYgLZdois3CL/4DX3F5fpLcNzR+Q2u68bNhqrV6qkywHHQWsej4iclDEPCMOwLpMH9pDIBxJVBotTIfWnfPel7icIi4SEg3qeMpRfFRQS7cJ6Hotfrxb0aZj1OxEUqF/V5IAoZEFvWMiNqY2NjIUqM4LpubGHJRWIZzr1JEENIGowtGjlPoyiKwwLJ806+X8uyYgXedd1zDQlJIm02m9RqtYmHokZRxH/5/z7L0588mfnzzYPXvXqHG3uFkbJDGJYb8t3KOSxkMpkzwzwiO9PwxiTbPszrnJEkYMuy6HQ6WJZFpVLBcRyuXbu2UMNfZGYysTpNVk6REUEv00ilJG5R4ZfI7+H/7i/hfPz/JbIcVBSMnMsQOR66sIG2bKgeEYUfQR+9AMV1rOImqriJVSijEp/DcZxYmRHhO442m2yvnYztDntXJF6cdL/K49JLQfomJKuB5HUSi00KBuCUYpO8JU9g8brImsRSEcEjwmcUyc8hs5NGbStu9jRGEUiJpsxbmSdJZabb7cbfncT1Fznk0bIsisXiSiox4uoWK3XRuSRynrZardjzIh4XUVzEiyDHtyj6lmWdug3/FtlsFsuyYtlRLBbH8upKQ7grmy65J7ZRKFB9rwlApDVBENHqBLTaPp1u33PT6WmC8LQn1rHBdSwce7D2KOm10UTRPS+LYFvg2ArHtnBs1X+9Yw067DL4bnRsyEhoWWSMfGejjs1hT/F5PWEk/y6NcHSv14v3NW9PoFwzoP9bZjIZlFK0220ymcyFlEKfheu6MzfwO4uVU2QEiTM2Go2Zwy/TEh7fIfyNf4Zzso8GlG0TXn8pXLkBG1dRmTy0qujGCTQq0KygmlXU8S1Uu44aOrFCZaFzRXShTPCiV+K//KuBe82TZBqqaNajQkIyYAzuWRLSA2HYy5Ik6VERi0/+Bs69aCUVouR7DCs4EioRxUJc/GI5pX1hlM+dhhej2WwSRRHlcvlCLuCSmyLeJhk/cPfuXSAdK3GWta2aEiOIq1tasgdBkFpvkEmQ31PawktFR9KrKd6ZpJfG9/2RoVvxkA5/Dq113Kgsn8/HF9JRIeR2ux0rzi8c9vjYZ+oTfy6lwLYUjq2wB8qIbfWPF829EJHWEkYehKrCgYKjNV1f0/WHPcD9wX1KwSNX8qe6ZM/jwphWccBFGkCCePM7nQ5bW1vU6/XYq7u9vb3YmUhzcjisrCIDxJq4NO+6SHdx79kPoN7zL7ECHw2ET7wO9yv/Ck5mvIM1CgN0s4qunxDVj6F+go6VnQoMmjLBPUtShobJADM4rWBIuG1tbY1CoRC3zxfrWXIskpaLKBFJIZiWUB9WcIbDVDLpdR6IYE5jFIHv+xdmUSWxLCt2e8uxfvfuXQ4PD9nd3TWVKVMiJaK2bccGwqThl2mRC5t0dF5bW6NYLE7kMZQ8srNuyfNX8jukjF4UpmHvqOSZra+vk8vl+NAnnzv1npaCfM6mmPcor3lsljNsbRTYKufIeA7OwPNi2+l8h612j6OTFkeVFseVDse1DpVaj0Y7oJDtn9Pz8i5I6DqNtIWLNoCEpCdeFOSTkxMODg64cuXKpesHtdKKDNwrEa3VahfiLtZRRPd3fwn3mT8AICxtY339d5N59KUT7ceyHSht9W8jGHXpFUuy0+nEJXwScmg0GnFn1mw2G4+Gl74fo8I780YpdV8iItwT5u12G9/353IRSav3gyQTX6RFNQrJ9Ldtmzt37rC/v8+1a9eMMjMDuVzulFdXqrPmRRRFnJycUKvVcByHra2tibqxCknP5riUSqVTPVNEcep0OnFCa7IR4kseLbG7WWB7s8D2Rp6NUg7LujjZkc95PJbzeGxv/dTj7U43zv3J5XJzaYPfbDZTMbLEAJJS5EVhWVZcYXh8fBzLjsukzKy8IgP9H0qSECXePI+kqrB+QvBv/w/c2iEaRfiar8f9sjdiORcXdxTB12q1qNfruK4bu0ElvNZoNOK29cuSDJ0k2dVWrNM0vWlS5ZOG1SYJt6VSaSm+x2w2y7Vr19jf32d/f58rV66YMtsZkGm/klQ/bh7apPR6PQ4ODuIePJubmxearyAyMhlmkPCv67qsra0RhiGVSgWAl33e7lIkQw+Ty2bIZrxThlCaHafTGkWQNIAWGQYWxNtm2zYHBwfcunWLa9eurUz13oO4HJ+CezkFySTgNC397tPvw/69X8SJQsLiNva3/K9ktq+nsu9JESv88PAwrmYplUpEUUS1Wo09EfMQyGmSdHvX6/XUFK+0ej/4vh83p1tkktwwnudx/fp1bt26xe3bt9nd3aVYLC56WStLMglYLvJpXnwqlQrHx8copdjZ2VlY5ZnIyEqlwu3bt3Fdl+3tbXK5XNzxdbg9/zIybAhVq9WxWvM/iDSLA5bNABLkmnjnzh1eeOEFrl27tpQK66RcGkVGGE4CntVdHPo9/F/9KZwXPg4o/Fd/HZmv+laUWlyTOrnAep4XVxFJTwSlFOVyeWU0bdu2KZfL8ZgBCTVNK0iTvR9mEcYS/rIsayksqmEcx+H69evs7+/HCu1Fx+EvE8kk4GQ15CzfZxAE8RytXC7H7u7uwhViCbmKEeH7PmEYxk3hFlkBOinyGRqNRuyFnsUTL9+NVP1My7IaQEKhUODq1avcvn2b/f39S5FvtxpXuwmRi1iybHkardP/zNPw2/8c1+8S5orYb/4HZHcemcOKxyPZG8ayLLa3twE4ODjg+PiY9fX1uZW3zRPJ/5BhY5VKZermTcMVW9MiF7Nls6iS2LbNtWvXuHPnTjwFdxV//2VhOAm4OkNn7UajweHhIVEUsb29vXAlUxJ6fd/H8zw2Nzdpt9scHBwAsLW1tZJePanqE7koCdSTGnIiW2cdRbDsBpCQz+e5evUqh4eHHB4esrW1tZRpCONyKRUZmK1nRNRt03vPv8L51AcA8F/yJJlv+tsLF0TSG0bmVUBfYEoPFmkWt+whpbPwPC+e7SMVWpNYxWmNIpB+LYvuuzAO0tFT5jRJhcSyr3uZSSYBVyqViWZahWHI3bt3qdVqeJ7H3t7ews9Hmc8lDdmy2WzcJ0XWJjkzyxxSOguloT1b+QAAIABJREFUFPl8PjaEJNQ0iSGUVjh6FQwgIZ/Ps7Ozw927dzk+Pl54T7ZZuLSKDNxzF0+SBNx79oOo//tf4fZaRLaL/sa3kn3pn7/AVY9Y00AQAXHuizTTkpPG87w4xh9F0cq6CodbWlcqlbHDg2n0fpAkPcuyViaJVipgKpVK7JFaW1tbmREey4jneZTL5VOtHc5TSCS/4vj4GN/3KZfLbG1tLfSikJwMb9t2HLKVpncy30ta2UsZ+qqEpYdJdp4WQ2icqjApDph1FMEqGUCCjDKoVqtxVduy50iNYjWP2AmQBDe5MJ6VBBw2KgT/6ZdwPv0hAIKNazhv/h7s4uYilg3cc1PKZFZxe/uDOUzAqUnPSaVt1YfG5XI5XNeNq0ke5FHr9Xozx8iBU4niy25RJREhDv3KC2CpRnisIpK/JTkYZyUB+75PrVajVqvFHrK0phtPS9LQSSbRSzHE8KRnUdpEmVmVC/Eww4aQhJrO+zyi/KdlAC1zSGkUhUIhXn+ytccqJQFfekVGOKtnhNYa/8O/j/rDd2P7HQCCl3817uu/rd/rZUFIb5hhQSQnaNLCEkRpS2No3DIgPYJEOZNQ0ygLS0bYz+LGF4tKBsutGslSYkl6XmV38TIgIxlEAQiCIFZyxdCQZnP5fJ6NjY2FHzvicRF54HlePGNKQs/DCr8obaLMrELV43kkDSHpOTNKwZAQm/TamhY51y6qsWLaFAoFoiiKy8+XYYTHJKykItNsNs987qyLtjwucdRWq0U+aJF9/7vxbn8KrRTacel85Xdhv/Q1dHs+4I/c11nIfJRpT4jk1GepQBKPi2jM3W73zGmtwnCvmVXzLiQRYSzloaN6zqTR+0EuSvMYMX+RZDKZeKSFUgrf9xc2wmPZkIvWKM47bqT9v8wuarVaZDKZ2KgATnXTnmZQq23b93XcHZfkxHgZipisQEp6Z87LHRnuNbPKIWq4Zwid13wzjXC0dFBfVQMI7slZybMU792iRnhMylwVGaXUNwA/BdjAz2qtfyyN/fZ6vZHzRkY9NgrpXdL43J/xeQefBcAv7tD86r+GWt+FgXCalgdNqhWhM9y2P7n+pCBKJvqOqyVLwmtyFtUqWgqClDIO95yBvjByHGdqC1KUGDlpV/l7gv5vnxzREIZhnOcx7cXyMiAW5zDjyg3oKxzVajX+bl3XjWcYnaUkTYIoNKPmCD1o5IeQlBHJ/LpkGPos5II27+aiF8V5zTeTowimPedFSVx1AwjuDautVquEYYjnefFMsFlaYlwEc1NklFI28NPAXwKeB/6bUuo3tdYfnXXfGxsbE78mKazCMOxbKp7CikKCl34J3tf9dbLubK5UmQbt+37sVZH5J2LRAfeFg+QinJwULdsm82HETTwuMrVa8kxWOZEP7u85EwQBjuPMNIogqSTmcrmVdqcnyefz8YVbqlTkODprOvmqK3APQsqOJyUpO7rdbmzBZ7NZSqVSKo3YZCCkyA2Zmwb3Bu0lZQgQ/24yP214DEkyDD2JITPcXDSKopX26sLo5ptBEMw0imBYNl+G8yepzIiS1263qVQqsWdyWG5c9OibUczzqvYlwCe11p8GUEq9C/hmYGZFRqYqJ4ccDg88HJ7QK/eDIKBWq6GUYvOLvxauPULmRS8/872S02EfdF8m1IryIo8FQRAPcxNvTSaTiW9nKRdpdNuUJNBk7HtV3Z9wf8+ZIAim7v0gF/dV6YQ8KZLE1+l04pBC0or3/dOh0+QMn2EFZ9GCKg3kXIQHy4xRskPOx1wux87ODnD+NN9hGXGe/EjKDlmrrHd46KvneWSzWTzPG/n+Eobu9XoPDEOfh3gqpHvuqnt1hw0hYOrv5rxcxVVHrje1Wi0eNCrHZxiGcQhz+DVnyY6LYJ6KzHXgZuLv54G/MLyRUuqtwFsBHnvssbF2LFrwuMiBGoZhnAdRLBZptlqorcfR1SowWuBMivygyUGN8oPKQSBeGxnYJl6ZZChKTrY0um0mE/nq9frUzeaWCek50263p/osyRLUVeqEPAniVq/X6zSbTYrF4n0Jj0nFRoSVDLtLMkpQLbKyZRq5kfRKTfA+KKXic1XOTwnXnKegTMpZHhYg/l3Ea9NsNmMjJxmKAuJ8mDSSNbPZ7H0h6lW+aCcNIenJNQnJStJZlMRlRxS0Wq1Gs9mkXC6fGeZMKjndbve+Y39YbsySR3oWC5feWut3AO8AePLJJ8c6+6XM9DwBMvxYr9ej0+nEZcyWZcXbyIGYtDyHrbPh+6Oee5DlKj+knDzDoajWUG5ONptNLe6aTOST0fKrViY4zLS9XqSqa7gE9TIiSrsoscOep7OmKJ+VjyFeHNu2WV9fv+91F8U0ciNZoj6OzJD70pMkOW1ZnkvKg3FkxHnbnic7ZIq8KCZiEIl1nFQ8k9VKaTA8WHOVy7OFaRJzh8PQqy4/H4TIx2RZvsgKMb5HGYBJxWaUF2ce1VDzVGReAB5N/P3I4LGZmdR6FiWmWCwulXtUyoWHFRsJl6QdAkqWZ6c1T2ZSOp1OXCmQz+cvNJyTbNO+rJPB54H87pMMRXyQoJIQyCohn2kSms0mtm2zubm58N4wSYZ/G6l2lHYNqVu8g07piyrPlqZ14hWTBOuLQrx5WutUlcRlx3XdiZVYyeUa3k5CqPOQufM8Ev4b8PlKqRfRV2C+DfiOOb7fSCSEMGnC2yIYVmzmwfA8GdG05/29+L4fl/NJ/x5pwCTtxefJuCWol5U0hyIOJ51eRpIhhDQ9o/PiLKUzTYbLs9OeEj4KGYjbarXQWsfVRtVqlUwmM1PF0bgkw9CTjKu4LIgnU3ryTCs/Jc9rHsztF9FaB0qpvwO8l3759c9rrZ+Z1/uNQg5Ax3FWYvbFRZIszx52G6aJ9DTpdrtYlnXKkhMBVavVcF2XQqEwlzVMWoJ6WREl1nGcOIHzsiUqpkEyWXaVmoJdBMNeXekgPg/Z6vt+XL2V9MIkvTPdbvdUyC9NkiMeVm0yeNpInqWkJgRBsFRl+XNVLbXWvwP8zjzf4yykwsB13ZUvHZwXw+XZaVobUi0jw9hGCZtMJoPnefF2lUoldStr2hLUy4yEHi5TzkNayNwhKT01Ssz9iEJsWdZcyrOjKKLZbNLr9eLOyslQjuTGZbPZuERcPLuZTCaVdTysYejzkNJs+c6XqZPxpfSRycXrMmeVp0WyPFsuarPGf3u9XpxQ7Hke+Xz+TKtfenJIp9S0rKy0SlAvK2m5iy8T0sZfrM2H/ft4EHJep9V0U5o4SmfkB8kAqayRQglJ4s/n8zPJsMvelmFWhn/3ZehPdukUGdEWR80TMYwm6TacpTxbytt934+FzLgCJU0rK5kPY6zqsxl2Fz/MQyaTFSnm4jU+aTXdnMT4GUZSB3q9XjyWxXGcqXLvJAytlLq0bRnSQBq4iiG06P5kl+pXEo08k8ksVYXBKiCJbI1GI76ojZvgmIwlSzVSNpud6oKYtLKkV8YkVtYsnZAfRsRdLN/zwzhkMooiarVa7Co3x8xkJCtbJp2ePWz8zJLD5nkeruvS7XZpt9vUarWJlKKzJoMbRiOVbGIAL9JovBSKzKpVGCwryUS+cadnS8JuFEWp5rfISTJsZRUKhQd2Qr6M3TbnjXyvl6Xx2biEYUitVkNr/VAngs/KcHn2g7y6yYRdaVKXRn6LUopsNksmkzmVe5fNZuMCh2GSYWjjyZ+MZDXkIodMrrwiYyoM0ic5Pfus8mzxmEg59bzipMNWVrVavc/KSiqyJrl7epLuYhkyeZm9E8NKjAkjzMa4TTell5TW+lwFYxbOy71LeotNGHp2hlt6LGKcxUqfuckKA5Ocly65XO7URU0s9GQ5tRzA884nSFpZIpTEyspms/HMpYeh2+a8WSZ38TyRmWuAUWJS5Lzy7GQ59YO8q2kxnHsnIfCkfIOHuy1DWsh32mg0qFQqF3perezZayoM5o/neacqmrLZLJ1OJ7akLjoxNJl/IwIpOfzNJGimQzJfapHu4nmRHBz7sITQLpJhCz2KIizLGtlL6qKQcLM05mw2m6ceN8dAOgxfMy7qt15JRcZUGFwcydh3u92ea+O6cRFhmMvl4uRuY1Gni1jW0srgojpAzxtJBpeqlFX/PMtMsumm/D2PxnWTIG0Her1e7MW9LAr6siDVkI1GI/aWz9voXTnpbyoMLh4ZECgu4WXBtm2T2D1nku7iZekZMS2+71Or1UxzxAtEjAyl1FJ939MMjTSMjzQyFM+5XK/npcwsz5E1JjKMqlQqmQPxAplm4J7hciDuYoBqtXpq0vIqYdt2PMl5mS6qlx3bts33/RAi1WiFQiGejxWG4VzeayWPrkKhYBKzDIYLRNzFruvGvYZWDbESzUXVYLg4stkspVKJKIqoVqv0er3U38Oc0QaDYSxEEchms0RRtOjlGAyGFUFykyzLQmud+v5NrMBgMIyNuIvnIYwMBsPlRby688iTMR4Zg8EwMabSw2AwTMq85IZaJstKKXUIPDfm5tvA0RyXMw3LuCZYznWZNY3PMq5rkjU9rrXemddCLoHcgOVc1zKuCZZzXWZN45O67FgqRWYSlFJPaa2fXPQ6kizjmmA512XWND7LuK5lXNM4LOu6l3Fdy7gmWM51mTWNzzzWZUJLBoPBYDAYVhajyBgMBoPBYFhZVlmReceiFzCCZVwTLOe6zJrGZxnXtYxrGodlXfcyrmsZ1wTLuS6zpvFJfV0rmyNjMBgMBoPBsMoeGYPBYDAYDA85RpExGAwGg8GwshhFxmAwGAwGw8piFBmDwWAwGAwri1FkDAaDwWAwrCxGkTEYDAaDwbCyGEXGYDAYDAbDymIUGYPBYDAYDCuLUWQMBoPBYDCsLEaRMRgMBoPBsLIYRcZgMBgMBsPKYhQZg8FgMBgMK4tRZAwGg8FgMKwsRpExGAwGg8GwshhFxmAwGAwGw8piFBmDwWAwGAwri1FkDAaDwWAwrCxGkTEYDAaDwbCyGEXGYDAYDAbDymIUGcNKoJT6PqXUzy56HQaDYbUwsuPyYxSZS4hS6juUUk8ppRpKqX2l1H9USn35otc1C1rrH9Va/y0ApdQNpZRWSjlp7Fsp9dVKqaeVUhWl1F2l1K8ppa6nsW+DYZUwsmN6lFI/P9j3S9Let+F8jCJzyVBKfQ/wk8CPAleAx4CfAb55ketacj4KfL3Weh3YA/4M+OeLXZLBcLEY2TE9A2XvxYtex8OKUWQuEUqpMvAjwP+itf5VrXVTa+1rrX9La/29g20ySqmfVErdGtx+UimVGTz3VUqp55VS/1ApdTCwyN6olHqDUupZpdSxUur7Eu/3w0qpdyul3qmUqg+8Gi9VSv2jwetvKqW+LrH9Z5VSXzv0+ncO7oul9NeVUp9TSh0ppb5/1LbAHwz+rwwsx68crO3lie13lVItpdTOg743rfUdrfWtxEMhYKwqw0ODkR3TyY7B9g7wz4C/O9m3bkgLo8hcLr4UyAK/ds423w+8FngV8ErgS4AfSDx/dbCP68APAf8S+C7gNcBXAD+olHpRYvtvAn4J2AD+BHgv/ePqOn3B+C8m/AxfDrwM+Brgh5RSXzhim9cN/l/XWq9prX8feNdgncK3A7+ntT4EGISNznSRK6UeU0pVgDbwD4B/MuG6DYZVxsiOe0wkO4C/B/yB1vpPJ1yvISWMInO52AKOtNbBOdt8J/AjWuuDwYn6NuAtied94O1aa5/+Cb4N/JTWuq61foZ+GOaVie3/UGv93sF7vhvYAX4s8fobSqn1CT7D27TWba31h4EPD73XefwC8O1KKTX4+y30hSQAWut1rfX7znqx1vpzg9DSNn3h/PEJ1mwwrDpGdkwhO5RSjwL/I33FzbAgjCJzubgLbD8gkW0PeC7x93ODx+J9aK3Dwf324P87iefbwFri7+Hnjka8Prn9g7iduN8a97Va6z8ebP9VSqkvoB8a+s0J3lf2c0xfsP3GPBICDYYlxciO6WTHT9JX7qoTrNOQMkaRuVz8EdAF3njONreAxxN/PzZ47CJoAvnE31en3I8+4/FfoO8ifgvwK1rrzpT7d4BdoDTl6w2GVcPIjulkx9cAP66Uuq2UEkXqj5RS3zHl+gxTYBSZS8TAKvgh4KcHiXZ5pZSrlPpGpZTkfPwy8ANKqR2l1PZg+3eetc+U+RDwbYM1PQm8ecr9HAIR8HlDj78T+Bb6AukXx92ZUupNSqmXKaWsQYLfTwB/MvDOGAyXHiM7ppMdwEvph7BeNbhBP/fnvFwjQ8oYReaSobX+p8D30M/zOARuAn8H+PXBJv8YeAr4U+Bp4IODxy6CH6RfonhCP77+b6bZida6BbwdeP8gEe+1g8dv0v88GvjD5GsGFQpfccYurwPvAer0v5OIvlAzGB4ajOyYXHYM8oVuy23w8JHWuj1qe8N8UFqf5WkzGFYPpdTPA7e01j/wwI0NBoNhgJEdq4tJZjRcGpRSN4A3Aa9e7EoMBsMqYWTHamNCS4ZLgVLqfwc+Avy41vozi16PwWBYDYzsWH1MaMlgMBgMBsPKYjwyBoPBYDAYVpalypHZ3t7WN27cWPQyDAZDinzgAx840lqPNbdmGozcMBguJ+PKjqVSZG7cuMFTTz216GUYDIYUUUo99+CtpsfIDYPhcjKu7FgqRcZgWBSt545pfeQO9m6B3Is28DYLANwbv3L6/iiiICTqBmg/wl7zsBx7rms2GAyL57++8C/wwzbbuS/g6tqfI2OXsC0bpRwsbGzLQamzszi01gRRFz9sE0Rtsm4Jz55kMoNhborMYJjWLwJX6DcZeofW+qfm9X4Gw7TUPnyL5n/6NGgIPnqX7n/5HJGriNZsyDuonA0o8CNUoCGIINCJv/uPqejePnXJZe1NLyO7XsBxnAcqQQaDYbXQWtNsNvlc432EdHi+/X44txf4KBlwf7HNNe8v8tpr/xOO42DbtpEdYzBPj0wA/H2t9QeVUkXgA0qp39Vaf3SO72kwjI3WmsoffobuH99CO2Al5v5avsY6CeCk/6BWgK3QnoXK2qiMDQUXHAvc/k25Njh9oaM/eET9Vz9O+w2PY+c9bNvGcRwcx8F1XWzbeGsMhlUliiLq9Tq1Wg1HrxGqM0YzaUApFDYWbv+mHCxlARYKC4UaKCsKrTWZ4CqHh4fk8/3RUiIzRH5YlqnRGWZuiozWeh/YH9yvK6U+Rr8VvFFkDAsnCkKOf+cTBJ84JvIUqqfJfPl1so9uYHk2lueAY+EfN+ndrNL7XJXodhPVCqEVorZzOFcKZB5fJ/f4Jnbm9KnUenSL2m98guh3nyf/xpcSWYper0e32wX6YSoRTEZAGQyrQxiG1Ot1Op0O7Xabl2W/g/WNEp6Tx7VyuHYOjeZu85PcaT3DYeej1IKbhARAxLr3OLu5L+La2ivYzr/4vrBTs9mk2Wxi2zau6xIEAe32vYkHlmWdUm6M1+aC+sgMuib+AfCE1ro29NxbgbcCPPbYY6957rm55gUaDIRtn7u/+gzRrQY6Y0Evwv3ax9h+1WPnvi4KQjrPV+k+d4J/s0Z0p9mfyqTAupLHeaRE9sYG1m4e5Vj4n63S+O1nUds5tr/tFdgZlzAMCYIA3/cJgoAwDOP9J7024woorTVyDsv95E0e73a7dLtdNjY2cF13ti9wQpRSH9BaP5nyPo3cMFw4QRBQq9XwfZ9Op0MURezt7ZHJZM59XduvcrvxNLebT3PY+SjNsD+WyVUFtjJfwJX8F3G18Aqy7OB5Hp1Oh263Sz6fJ5fL9fNoguDULYruxbKTcsN13bGMorNkRfIWRRHtdhulFBsbGxeuMI0rO+auyCil1oDfB96utf7V87Z98skntak+MMyT3nGTk3//UXS1C66F1hr1+uvsPvHYxB6RqBfQ/lwlVmz0URs0aBuixwoUvvJxrDsdWu/5NNa1Atvf+vK+pydBUkCJciPnpFIqVmbOEjbj0O12abVaQF9Z2tnZYW3t4pIJ56HIJDFyw3ARdLtdGo0Gvu/Hf5fLZdbX1yfeV6N3xH79w9xpfYTDzkfpRP3kGpciL86+kZftfC1hGNLr9WJlZpgoimKZITfBsqw4fH2WwvIgJAdIPm82m+XKlSsXaggthSKjlHKB3wbeq7X+iQdtbwSSYZ60n69Q/bWP9ZN1lQJbwdfsUbqxE8ejZyFs+9z92PMEz9VQn6qjczbW667h9hT+/3MT65E1tt/8ciz3/PwY8dokhZNYQkqp+27nPd5qteh2u2QyGTzP4/DwkG63S7FYZGdn50LCWUaRMaw67XabVqtFEARYlkUYhjiOw/r6Oo4zW4aG1pqT1vN85vCPOQmf5Yr9WsrWSygUCliWRRRFFAoFstnsA/eT9PiGYTiRrEj+rbWmXq8ThiFra2v4vs/R0REAW1tblMvlmT7zuIwrO+ZZtaSAnwM+No4SYzDMk8ZHb9N4z6fAs0BryDq43/AYqpwZae1Mg69C7MdLlL9oj+hOi+p/eBb93ufpPLGO/dodov96yN1ff4atb/mic0uzbdvGtu0HuqvPQ2sdW4/5fJ5CoV9O/sgjj3D37l0qlQqdTofd3d3UPr/BcNkQr0S32yUIgjj8q5Qim83OrMTAwPMalHhR6fW8ev1NdLtdqtUq9XqdTCaDUopGo4FS6lyZkMy7e5DScx5BENBoNAAol8t4nkculyOXy3Hnzh0ODw9pt9tsb2+n8vnTYJ7m2JcBbwFer5T60OD2hjm+n8FwH1prKn/0WRr/4ZNQcKATokoZSt/6hVDyyOfzqcR9wzCk2Wziui6ZTIbcYxvs/Pd/HvfzN7CfrhB9skr4RJnwszXu/ubH0NH8PKFRFFGr1ej1ehQKhViJgb6w297eZm9vD601t27d4vj4+FS83WAwEHslOp1O7IHJ5XKxIpOGFxeg0+kQBEHsgcnlcmxvb1Mul2PvSqvVolKpxMUC86LX61Gr9dNYS6USnufFz7muy/Xr19nY2KDZbPLCCy/QbDbnup5xmZsio7V+n9Zaaa1fobV+1eD2O/N6P4NhmCiMOH7PJ+i873nYzEDNx9rNs/Xtr6DnRDN7PZI0m02UUqdyT+ysy/Y3fxH5r/s8rGqA9YkawaM5wk9VOPqtj46d4zIJQRBQrVYJw5BisXimZZbP53nkkUcoFAqcnJywv79Pp3NGCanB8JARRRHVapVerwf0vaS5XI5MJkO32yWXy6USlg3DkFarFRtAgoStJDlfPKwHBwdzU2Y6nQ71eh3LsiiXyyO9LUoptra22NvbQynF7du3OTo6OlW0sAhMvafhUhJ2A45+5Wn8jxzBlTwcd7EeLbL9V19BYPdjyblcLhVvTKfTiUM4o4Rb6ZV7bL7llVgbWZybbcKyQ/jsCQe//UyqnhDf98+0pkbhOA5Xrlxhe3sb3/e5ffs21WrVeGcMDzVJY0ByRgqFAvl8nlarhVIqtXCseDSSXlNBDKPNzU3W1tbwPI92u82tW7dS94RIybfrupTL5QcqablcjuvXr7O2tka1WuX27du02+25GGfjYBQZw6XDr7Y5+tcfIrpZR+0V4E4L+yXrbL/5CZRn0263cRwnFW9MFEW0Wq0HxqW9rQI73/kqvCevYtcCtKvQH69w5z88E1cFzEKn06FWq51rTY1CKUW5XObq1au4rsvdu3c5OjqauwvbYFhGJLQSRVF8UV5bWyObzeL7Pr7vz8UAOq9Bpud5bGxsUC6XKRaLdLtdbt26xcnJycyKQzJ8ls1mKRaLY38227bZ3d1lZ2eHIAg4ODigUqmcqp66KJYjU8dgSInOfpXKr30MuhFqr4B+oYn7xDab3/AylFK0222iKEqt/LjRaKC1Hmt/lmOz+dUvofWiDWq/82doP0B9vMqh/XHWv+rFUwvIVqtFu93Gdd2JBFGSbDbL1atXqVQq1Ot1fN+nWCyytrZmGvUZHgo6nU7s6ZBzqFgsxp7NZrOJZVkzJdIK4xpAgmVZlEqluCv4yckJh4eHBEEQJ+ROs4Z6vU4QBGeWeD8IpRSlUolMJsPx8TGVSoVer0exWExN4RsHo8gYLg2NZw9o/M4n++MCdrLoF5p4X3yVja98MUqpuLmT67qp9ELodrtjWVTD5G9s4f2NIif/8ROEn65iPVPlJPwkva94jLW1tbG9KRI37/V6ZDIZCoXCTILDtm02NzfxPI96vR4LJbFIDYbLSrPZpNPpYFlW7OUQxQH657qUIqdxcW42m2MbQElyuVyszBwfH3P37t14XWeFtkcRhmHseUoqa9OSyWTY2dmhWq3SbDYJgiCWHRdR2WQUGcOloPrUTdr/5TnUeqbf6G6/Re51j1L+C4/H20gMd1Q8elKiKKLZbMaVDJPi5D223/QEtQ++QOs/fxb74zWanU8Tvv7xuNTxPIGZhjU1CqUUxWIR13Wp1Wq0Wq24MVehUDAzogyXiqQx4DhOnBdTLBbjC7DWmlarlVpxQLfbjRvdTXM+OY7D5uYmrutyeHhItVpFa43v+xQKhQcqJb7vU6/XASYKQ4+7Ls/zaDQa98mneXpnjCJjWGm01pz83ifp/ckdrL0CUSeAwzb5r/s8Sq/ci7cLw5BOp0Mmk0nlYjytRZVEKUX5NY+QeaTMyS8/jf3ZFt3f/BTRN9w415pJ25oahfTIqNfrtNvtuMNnmkqTwbBIksaA53n4vh+HSpIyQkYRlEqlVN5TDKBZvJyyTsdxuHPnTtz3JYoiPM+LS7mHke7Etm1TLBZTN0ySSqD030kaQvPqCmwUmSVA2tQn2027rpuaG/My4tc6dF+o0v7IHcLP1rA/f53wThOaAWvf9FLWXrZ7antp0Z9G74derzeTRTVM9kqRnb/9JEf/6oOoox7Br3wK/ZceoboTks1mT/W6mZc1NQrHcSiXy9i2HVuRWutYyTLemcWTbFMv3VzH6QL7MCMyVvLlPM+j1+th2zalUumUAqC1TjUcLQbwOojpAAAgAElEQVTQrGFgIZ/Pc/36dfb392MZJ94ZqXQS0silGxfpt9NoNOI5b2F4vzxLC6PILICk4iJCSLBtG8/z6Ha71Go1isXiQ59sGXUDOreq9G7V8G83YoUFAEvhvnIH/9ljCDWlv/yF5B/fPPV6idem0ftBLCrbtlO9WDhZj92/9cUc/OIH0cddwt9+Dp7cof3EVtwTptfrzdWaGoUkGYoQFOuqVquxvr5uFO0LRhSXUUNHZVhgs9mMFZqHnSiK7hu2KDkwlmXFfWEcx6FUKt13PEs4Ok0DSC7yaeF5Hnt7exwcHNBut+P5bPV6nUKhQCaTSTWXblyklFveOwzDeIp32sfmyikyUi6WyWRSa2Y2b0RDTnpdBHExykh2udBKwmW1Wr3P1TnpeydL9EYNDRvnsSiKINTYloVtJaYy68E28lod76B/N/H3qecB5FxSClT/Px1B724D/06D4E6T8LCFrnTvvW7Nxb5SwLlawLteBg3133oWLMX6X/lzZK/dPwMkzd4PrVaLKIool8upCwPLtdn9rldz8MsfRh+2if7bIdELTaIvv0an08G27dhTd9HKbT6fx3Vd6vV6bMWumhIThiGNRmOlvElJxcX3/bjHj7Sjz2QycfKn/B6SuCrVedP+Tg+SHZPIEBmAOjzRPc2+I8kBrDJzaHhCtOd58YToXq8XN6Mb5aGQ4oBMJpPKPCUxgOYRmnVdlytXrnB8fEy73Y4nZtfr9bjJ3SLCwsOGkNZ6LqHwlVNkhEajEbd1XgZE27YsC6UUYRgShiFRFN13MolG7rrumULG8zzK5TK1Wi1WZiY9mWTQ2SRorYmaPtFxm+iki650UdUequajeotpdnSKhk/YqBJ+ukqXW/3Hii6b3/oE3tb9x0Kv14tzO2a98PZ6vbir57xCOlbGYefbXsHhL38YfbeDut2m88wB7Rdn2djYYHNzc2EKhOu6rK+vx+XZcoFaFWSoXrVavc/tvsg1iYCXihmRG2EYnpqELsbOsOIyjORHtFot6vX6xGGEKIpOTXme5LPIuuV/uSWRycy2bcf3LcuaWDkXZSX5vyD7l9lItm3Ha0n2SDrPQyGyM42Lf7PZnJsBJDiOw8bGBpZl0e12sW2bo6MjXNfl6tWrC81ty+fzcajJ9/3Uc2VWTpGRZKJWqxXPwJh3vO88JKNdkiHFhSZrlRPJ8zw8zzslrER4yW34M0iOgigz4yZ2iiDqdrt4toutFUQa7UfooO9Z0X5IWO8SnLTRtR663kM3A2gHqIHeZQHaoj9o0bMhb6EBnXCraPlLKeLlWwqFQlmg+v/0nxt4XgB0J4C6D73+m2kFKu/0PS5FD6uYwcq7KNQpb07fyzP4O9JgWxRfeQ2nODrM02q1Uun9MG+LKomdddn+Ky/n7rueRlc6RJtuLIjb7XZqM16mQSysVVNi4F7b91qtRr1eX3jisniIZKpy0uMiF3jP807lZ4iHJgzDc2WHhFEbjUZsCI2jKPi+T6PRuK/z9bCnJenxkP+liVwydCMyT9ofJJUcaf+fnL6cVECSyk4SUVrkfYY9U6NeM4zI3rPkQhAEdLtdstnszN473/fnbgAJEs6p1WpxyMyyLNrtdmpDLqfF8zzW19fn4k1eOUUGiFtG27ZNs9mML/IX7S6W4XzSFC2Xy8VuazmZxEqRWxiGsTU76nMNWyayXavVolarkc/nyWQyI1240PcaSEJZvm0RvufW2J/nvsuSrVCOBZYCy+orJ1qDVvcUCj1QNAY3reVxAH1PB+lrQIM/+kqL/WgJ99oa3l6J7LUSlpfu4Zhm7wcJKY2Ko88Dp5Bh668+wfG/+wibhXX0ToFqtcrx8XFqTbmmRdq2ryLS+VgUCMkluejP0+v1qFarcfJlUm6ItyUpN5JKwCjOkh1aa6rVauyFsm37zPBPp9OJcyzy+XycEzXKy5LEsqz4gpn8X46T4e82+f5Jz7XcF6Uu6Y1Kem5kmrtMep6H3E8rHC3l3RdhAAkSKnNdl83NzbgUWmvN1tbWQsOq8wqJr6QiI4i2LLkk8uNdBL7vc3x8TKvVils7T9KQaFjBGb4lkWx6KWeTE2xUYprU7a+trdH7zAk9BSqpM3kWFFysooe1nsHZyuNtF3BKWZRrYzk2yrH6txmFu1huSQGVFMbztIjFU5bGKALf9+MW3hd1fAE4a1l2/sZrUJaKLcjj42Pu3LnDlStXTGXKlCS9unKxvsik+mazearZ4HnDPUdxntxIKglKqdgjIrN0hkNqEgYX46dUKpHP5+l0OrGsgXtFCKI4JP+X7y3pWZmVYcVG7svnE0/VPJB8pEnk+VlctAEkSAQAiFMYZI7a7u7upSsgWWlFBu650ur1OrVa7UJKD5vNZtxRsVQqneoAOS5JN+q4DCszYkmGYRgndG1sbMTWlN7M4HzRFt7OGu5Ooa+wFC4uQVoSEofdmVL502q14jLBtE+sZLLjLIhFJZbgRaOsexcH6c9w584d9vf3Fx73XnWkfF7CL8kmaPMgiiIqlQrVahXbttna2prq2J8mn0RkZBiGpyYtS2ms5IpIQrfM4EqGay7yQiyfcViuBkEQy/p5GUJphaMXZQANIx27xRAS2bEqCe/jsPKKDPR/KDlRpfRwHrXqURRxfHxMrVbDcRx2d3fn8j5nIdNQJeYp1SOSlCYeKUnGzK4XKHzD7tKFASzLolgsxrNNKpVKqt60NEcRLMqiOotcLsfe3h63bt1if3+fa9euGWVmBqRBolwc55UE7Pt+XB4rE40vMtlYvLr1ep1GoxF7PCSPYm1tLQ5DiQGwjFWhkuckocG0DaFut0sQBDOHoyWnblEG0DBKqTgR+OjoiFu3brG3t3dplJlL41+STofZbJZOpxOXiaZFt9vlhRdeoFKpsLa2xt7e3kJi69C3JPP5PJVKhdu3b6OUYn19Hdu2qVarcavqZW+ol81m45HxtVotdm/PSlq9H4IgiLsBL9KiGsbzPK5fv47jOOzv78cN8gzTkWz8J52M06RWq3Hz5k263S47OztcuXJlIRVTkqhtWRa3b9+mUqmQy+UolUoEQUC1WgX63ptlVGIE8U4WCgV834/DdLOS5igCCVkumwwul8vs7u7G17NJK9OWlUujyAhyAfd9n1qtdl9i2jRUKhWef/55giDgypUr7O7uLjT7Wy6wyThxt9uNrSlR6FYBuYhkMhk6nc7Mv1lyFMEsv1EypLQsJf5JXNdlb2/vvnkrhumQi7x4OCWBfxbCMGR/f5+Dg4NY+Zxn+e04dLvd2JMrs4WazSaNRiM+Fxcp2yYhm83GVTDijZ/lN5PvJg0DSPrPLJMBJBSLRa5du0YQBNy6detUOfqqshpH7IRkMpn44J6lZ4Tv+xweHtJqtcjn8+zs7Cz8wJTeMJZlsbW1hVKKg4MDTk5OKJVKbGxsrJy7UEJmruvGVWjSkXJSxJqeVRglk0CXyaJK4jgOe3t73L59m+Pj47hPxWVL5LsoxNKXc2yWJOBWq8XBwQFhGLK5ucnGxsZCj6NkbxjXddnY2KDdbnN0dATA1tbWwjzMsyBpBdKOw/f9qSpYxRvjuu5M3rJlN4CEQqHAlStXODw85ODggK2traUIgU3LpVRk4HQS8KQ9I+RgPDo6QmvN9vY26+vrc17x+SQFkQwFU0rFlpScfGEYrpwiI4gXpdFoxJ91EuEqvR9mHUWQtKiWoWnaedi2HQukSqUSV56silW9jORyufuqIcf9PsMw5Pj4mGq1iuu6XL9+feHeUekNE0VRXAwhfVw8z4s74q5ibyC4147Ddd04cXtSQyitcPQqGECCKFp3797l+PiYIAhWYt2juNTSTrT1SXpG+L7PyckJ9Xodz/PY2dlZuCCSGTsybCybzRJFEdVqNT5pMplMrLSt8tA4SUpst9txOflZU6CHkd4Ps3x2SdJTSq2MheI4DltbW1QqlfiCJceEYTqks3bSq3ve9ykdeo+Pj+l2u5RKJba3txfqHZM1SW8YCRuJPAHY3t4GSGUcyqKRhmuS0Czl7Q+6MEtxgITbpkUMoGTp87JTKBTQWsdNIkV2rNoxcKkVGRi/Z4SUBFcqFYIgoFwuxyVri0LcnTJnRw6w5ATkZLdfqUqQdtirciEeRpSIYQvrPAUlrd4PnU4nVp5WKUQjF16lVBzzluo9w3RIzohcGM/6PiVRVsqWd3d3F57kKV2DgyA41YZf5KDjOKfkoMiOi+7HlTbS8FA+p1REnqegSNXnLOdK0gBa5pDSKKRiLTmja9WOgdWR1DMiTeJE6CQHN3a7XY6Pj7l79y5KKXZ2dtja2lrohUxmwkgfAqmqkIRYOWGHm1uJJd5ut1NJWFwkEh6U3JlarXZmJZqUOs7ijQnDkFarhed5K+nNyGQy8e8v4wxqtdpKHwOLRpKA5ZySDqlw7+J1eHhIrVYjm81y7dq1hbvnJfFfqmakl5JUZGUymftGFsj0Z6kgTKMKaJHk83lKpRJA3EF5FFKCPusoAjGAZM7VqrG2thYbgUEQUKvV6HQ6i17W2KykR6bVap0bzz1PiMhI806nQy6Xw/d92u12fDCL9j5NJrcMdpv2QJbeDuKihHseF8nb6Xa7Z05rlTUM95pZtGCdBbmQSM8ZcfMnrYW0RhE0Go2VtKiS/P/svXmQbPdV5/n93TX3yldV79XbJD9Z3hR4ky3JAttY0MDQdHTbdNMdthvj6RnCMRHNdMxAQ7MYoqGB8DSBx44ZE9FimTAY8DRgaHeEGUc3M431bDCSMLItybJs2bKe3lr1Krd7b+bdfvNH1vm9X+XLqsrl5nKzziciozKzbt77y+Wee/ZDYccgCCCEQBRFCxvhsWxQRdthv5GD/kdN4drtturmTUnB1HelWq0iTdOJLgDUJXfS3y91vqXBptQbhmZ0UTO8w3IF9V4zeQ9RA7cMocOab2YxiiDvBhBwywiWUiKKIggh4HmeUs6W/foxU0VGCPH9AD4MwATwW1LKD2Sx3263O5WVSQLp2rVran5HsViE67pqDPw0kFCihmzDwlh6635SXvT3RPNXDMNAmqZot9uI4xjFYnEkFyhp13TxH3Vo3LJCA886nQ5arRaKxaISPtP2fqAQXh5DSsMolUpqdo5t28oLuSwTnxcFKTLTYBgGGo2GCs9YlqUm+2ZhwZLcoL+DF5BBuUGyQ4fODVJkKQw9SgdyMhw6nY5qLppnxf6w5ps05HeacDTJ5rwbQMAtZYY837ZtKyNxniM8JmFmiowQwgTwEQDfC+ASgEeFEJ+UUj417b7X19cP/f9BSg49nySJGhFg23ZmzeNoMi2dIJSTA2DfhFr9B0HrcBzntqmvwK2W3JN02ywUCrdNwM2zVU45C57nIQgCVUpKvXMmQa8GKxQKubWoBqEkPvI06he0YROG592CfhE4joONjY1DtzlKdtB4ENd1USwWx56TdBBkQJGHmJQUkhvDBjDSIEUKiwx6dchjpOfXjQJd0PSciUXn/EzLMEMoiqKpwtH6ObUKBhBwS5Gl9ItisYggCLC7u3vodPJF/zZm6ZF5AMDXpJTPAYAQ4uMA3g5gakVG70aon9yD9wehuURU53/u3Dn15RyFPp6e7g97rA82Gxx8RoLHsix10aQW6cPo9XpqrZM2qnIcZ2US+YDbe87EcTzxKIJplMQ8UC6XVaiDrEX99ziYB6FPGB6mVOedNE0Rx/GRMuMg2dHtdlVY6eTJkwCOnuY7KCP0+/pjkhX0vD5CIE1T9T3Yto1CoaDm9ww7PuXu9Ho9OI4zsRJC+R6+76PVai29VX4Ug4YQgInDJuThGVdJzAO6MkMVePrgzjAMb1P4BxUb/f48mKUicw7AC9rjSwDeNLiREOJ9AN4HAHfeeedIO261WiMvQhdUpMTolUxCiKFCZvD+OMcjD0uxWFRTYimJiqwusryCIFBj7/VQFFUrDVYXTAKdwK1WS82TyftFm3rOBEEwUXybSlBpON4q9l3RXcWe593W8Vm/YOq3owSVbv0viknkBimuYxxDyY5er6dCdZVKRZUvAwfLjHFlB10AdLmhe2ajKFJ/6fik3JD8ADB2GPowBnvq5N2rS4aQ4ziIomhsOahXkh6Wq5h3KF9Klx36NYimrQ+THTrDvDj6xPSsWLj0llI+DOBhALjvvvtGOvPX1taGCozDnovjWHXEJcWABLluielussMst4MeH/YFUUydLiZJkiilZpiFXCgUMhtKSV6do0pJ84RpmhNNtz6oBHUVoRlkVB6s58noQmaQYUJKF1SmaS60SeQkcoMU+qMUj8HngiBQzePIs0XVc4Nhn6NkxEH3j3LP615Hkmek1Azm5pACm1U+FJX2t1qtlfDqApio18skuYp5huQjGcC6MkPTyYcZM8PkRhRFqoBmFp/dLBWZFwHcoT0+v/fc1IxrCVLOSrVaXSqLgi4ig4oNhUuy9prosW+qaJp3Rnqv11OesFKpNNfkU6r8CsNwX2+NVYeUmXG6XJOgGrxgkfKfx5Juek/jQGX96+vrS/N7oepI27ZRLBZVSDuKIiRJovJBskTvqbMIry55Qqhqs1QqzVWOr3oY+iDI69TpdNBoNEbqGn6QcUS/01mcQ7NUZB4F8HIhxF3oKzDvBPDuGR5vKGEYot1uK1fZMlvf88hHWFR5dhzHKqeF3mO73YZlWSiXyzMPU4xagrqq6NUoeoXWuN/7qDllqwC1OygUCktdkSKEUN7eWaKXZ1MH6XmcR71eTw2EpGqjRqOBQqEw9TiSUY8/ba5inhn0yE2qyNHvdBbM7BuRUsZCiB8D8Gn0y69/R0r55KyONwz6AR6HEMK4zKs8O01TZUlRiWKhUFAVNb7vo9lswnGcmVlZ45agrirkkaNqllVI4JwFuufuOIQQxmFQISav7izQjR/d4CGZ0u121Wy1QqEwE2PsOIWhD0Mf90Mdo7NKe8iCmaqWUspPAfjULI9xEJRVTh0rl+UDXyaobHOS4XhHoSsqUsrb8n2EEKpyi5KewzDM3MqatAR1laEETirLz/J7zzu6EnMcPXejMOvybN34MQzjNg8APVcsFuH7vlJqSqVSZiEfKSXa7bZKCF6WsOIiofxS+ryXaTjmSkovunitclZ5Vti2rdzFZKFP67GIokg106I+PQcpEJQrUygUMrWysipBXVUGy/KPU9z/IPSLV9672s4DOq9pfMi0Hgtq4kiTqPXGfsMg4ySKIvi+j06ngyAIps6908PQ/DvYD3nV6Xtflq7hK+cnIw3dcRxWYkaEEvlozsqkHUpJANB8n3GSq8nKqtfrsCwLvu+j0WhMNCoiTVO0Wi2lEPHvYDj0vdNwTs/zFr2khUETgKmNPV+8RoPGulD3aGoAOi5hGKLZbML3fViWhXq9PnLogkYR0PBDkkGTdGindVCTTf4dDKdQKKBWqyFNUzSbzYXP5lopjwy5OtkVOD56efa407OpRJWaTJGHZZLPnxIKB62scrk8kqeIqgtIkTrOLflHYZndxfOCFF967/ybGY9pyrOTJIHneYiiSHlYJv38XdeF4zj7cu+oA/MoxhSHoceDFMhxqiFnxcooMnmpMFhmJinPJqGRpqnqs5FFfgudJLT/Vqulyi4PyufQqwtGKRNk+iyru3gesBKTDeOWZ+vGjx5enlaBHpZ7R9eFg3Lv9LwoDkOPh54E7Pu+CsfN+/PLvaTnCoNsofJs0zT3TfYdFADUYJAsqVlVA5GVRbFzsrL0QW+D3TZXZe7JvBmW/L3KFV5Jkqgw6HGuZsuKUcuzdeNn8FzOilFz7/Qmd5zcPRl6p3yaEzbvCq9cKzJcYTA7yHqhIWtkoadpiiAI0O12lSXvuu5MNXAhhBJAupVFE8vJNZ1lJ+Tjiu4ubrVaK5vsOKjEsPcuGwbLs3ULfbCceh7VcpR7RwqNXuFkGIZqy8DeuOmh9hmLqIbM7dnLFQazx3VddbK3Wi2lSFA59TyaUekMWll6Xg5X3WSH7i6mC88q5ZzFcYxWq6U6HrMSky2DFnqapjAMQ/WSWsS5Sm04qKJSn1V1XMKo84CGIM+7GjKXZzBVGFB3Ur6AzQ6y0FutlqoomEcn3sPQraxutzuTluzHnWVwF88Cao5ISgxfwGaH3nQTyHZ23KTYto16vY5er6dmJuX9N71s6PlS85rrlzvpz8l584csdOoLsyxYljXR0EhmdBbpLs6aKIrQarVyMa5kVSAjY9lGW7iuywbwDKEQIxWOJEky0yTq3J3JNHGTlZj5MmyAIHM8cF0Xa2trAIBmszlRb59lgH7DrMTMF8uylkqJYeYDhRHL5bLqzzNpn6GjyOXZXKlUWIlhmDlC7mLLslQiZ95gTwzDzJ/B5nlRFGV+DD6jGYYZCXIXu647UddUhmGOJ5RraRjGTLwy+Qx2MwyzEMhdLKVc9FIYhskRlGs5izwZ9sgwDDM2q1KKzTDM/JiV3BDLZFkJIW4AeH7EzTcBbM9wOZOwjGsClnNdvKbRWcZ1jbOml0gpT85qISsgN4DlXNcyrglYznXxmkYnc9mxVIrMOAghHpNS3rfodegs45qA5VwXr2l0lnFdy7imUVjWdS/jupZxTcByrovXNDqzWBeHlhiGYRiGyS2syDAMwzAMk1vyrMg8vOgFDGEZ1wQs57p4TaOzjOtaxjWNwrKuexnXtYxrApZzXbym0cl8XbnNkWEYhmEYhsmzR4ZhGIZhmGMOKzIMwzAMw+QWVmQYhmEYhsktrMgwDMMwDJNbWJFhGIZhGCa3sCLDMAzDMExuYUWGYRiGYZjcwooMwzAMwzC5hRUZhmEYhmFyCysyDMMwDMPkFlZkGIZhGIbJLazIMAzDMAyTW1iRYRiGYRgmt7AiwzAMwzBMbmFFhmEYhmGY3MKKDMMwDMMwuYUVGYZhGIZhcgsrMgzDMAzD5BZWZBiGYRiGyS2syDC5QAjxs0KI31r0OhiGyRcsO1YfVmRWECHEu4UQjwkhOkKIK0KIPxdCvGXR65oGKeWvSil/FACEEBeEEFIIYWWxbyHEQ0KIdO/zott7s9g3w+QJlh3jI4Q4KYT4AyFEUwixK4T4/az2zYxGZl8msxwIIX4cwE8D+J8AfBpACOD7AbwdwMUFLm3ZuSylPL/oRTDMomDZMTGfAPAogDsB+ABevdjlHD/YI7NCCCHWAPwSgH8ppfyElNKTUkZSyv8spfzJvW1cIcSHhBCX924fEkK4e/97SAhxSQjxU0KI63sW2TuEED8ghPiqEOKmEOJnteP9WyHEHwkhPiaEaAshviSEeIUQ4mf2Xv+CEOL7tO2/KYT4noHXf2zvPllK7xVCfEsIsS2E+Llh2wL4zN7fxp7l+La9tb1G2/6UEMIXQpzM/pNmmNWCZcdksmNvjXcA+EkpZXPvM/vC+N8AMw2syKwW3w6gAOBPD9nm5wA8COD1AF4H4AEA79f+f3pvH+cA/AKA3wTwwwDeCOCtAH5eCHGXtv0/BPB7AE4A+AL6lpyx9/pfAvAfxnwPbwHwSgB/D8AvCCHuGbLNd+79rUspK1LKvwTw8b11Eu8C8BdSyhsAIIRoHOEiPyWEuCaE+IYQ4n8XQpTHXDfD5BmWHbcYR3Y8COAZAB8VQuwIIR4VQrxtzHUzU8KKzGqxAWBbShkfss0/B/BLUsrreyfqLwJ4j/b/CMCvSCkj9E/wTQAfllK2pZRPAngKfSFGPCKl/PTeMf8IwEkAH9Bef0EIUR/jPfyilDKQUj4B4ImBYx3GRwG8Swgh9h6/B30hCQCQUtallAe5x7+CvnA+A+C70Re8HxxjzQyTd1h2TCY7zgP4PgD/H/qK3K8D+E9CiM0x1s1MCSsyq8UOgM0jEtnOAnhee/z83nNqH1LKZO9+sPf3mvb/AEBFezz4v+0hr9e3P4qr2n1/1NdKKT+/t/1DQohXAXgZgE+O+NqrUsqnpJSplPIbAH4KwD8ZY80Mk3dYdkwgO9Bf5zellL+9F1b6OIAXALx59GUz08KKzGrxVwB6AN5xyDaXAbxEe3zn3nPzwANQ0h6fnnA/8oDnP4q+i/g9AP5YStmdYv98bjDHCZYdk8mOLw7Z50HHYGYEC+sVQkrZRD82/ZG9RLuSEMIWQvx9IcS/39vsDwG8X/RLBjf3tv/YQfvMmL8D8M69Nd0H4Icm3M8NACmAlw48/zEAP4i+QPrdUXcmhPguIcRLRJ87AHwAwH+acG0MkztYdkwmO9DPKTqxl2hsCiF+CP1w02cnXB8zAazIrBhSyl8H8OPoJ+HdQN/N+WMA/mxvk18G8Bj6lsSXAPzt3nPz4OcB3A1gF/34+h9MshMppQ/gVwB8di8R78G9519A//1IAI/or9mrUHjrAbu8F8Dn0Lf6Pof+5/KvJlkbw+QVlh3jyw4p5U0A/wjAvwbQRL98/e1Syu1J1sdMhpCSvWDM6iCE+B30e8K8/8iNGYZh9mDZkV+4IR6zMgghLgD4x+h7WBiGYUaCZUe+4dASsxIIIf4dgC8D+LW9yiOGYZgjYdmRfzi0xDAMwzBMbmGPDMMwDMMwuYUVGYZhGIZhcstSJftubm7KCxcuLHoZDMNkyOOPP74tpZzZ8E6WGwyzmowqO5ZKkblw4QIee+yxRS+DOYbEcYwgCGBZFmzbhmmaAIBb41dGQ0oJGd+EIQBYGzNYaf4QQjx/9FaTw3KDWSTdbhdxHMO2bdi2rWTGRLJDShgGB0qIUWXHzBSZvQ6pvwtgC/0mQw9LKT88q+MxzKSEYYgbN26g0+koYWKaproZhgHDMKAnxtN9/a+UEgLAmfinYCBEuPUbcIqnYFnW2EKNYZjlRkoJz/Nw48YNhGGoZMGg7BBCDJUX+n50SqUS1tbWYFmWMqiYw5mlRyYG8BNSyr8VQlQBPC6E+C9SyqdmeEyGGYsgCNBut9FsNlEoFGBZFqIoQpIk6PV6+4QTeWrI6qIbgH1//ehHsea9H9bV/xmt+gcBswrLsvbdWHxqjiEAACAASURBVEAxTH6RUiq5EQQBqtUq0jRFFEWI4xhRFPUNGyHUOW/bNiyrf8nV5YV+P45jtNtthGGIYrE49PVsFN3OzBQZKeUVAFf27reFEE8DOIf+KHeGWShSSvi+rxQZ27Zx6tQpuK67T7gkSaIEUxzH6vUkWIYLl/8OUcOBc/0nUWv/DMJTH0acWuh2b82hMwzjNuWGBRTDLD9pmqLVaqHb7cL3fZTLZWxtbe0zbqSU+2RHkvSHegshlNzQQ9g6nU4Hvu/DNE1YlqXC3kHQHwhOzw+GwWcFKWTLzFxyZPa6Jt4L4PND/vc+AO8DgDvvvHMey2GOOWRN9Xo99Ho9AMDGxgYqlcpt25qmCcdx1OtIMEVRtE+46MIJzT8BYCPe/GVY2z8LsfNvULrjI4BRU8KNbmEY7jsWKUbjeG0orKXf129AP3zW6/VQr9eVVZhnWG4wi4A8JiQ7HMfB1taWkhE6lmXBdV0AUN4autF5bxjGPtkRhiEKhQIAoNfrwXVdVCqVfbKH5AbJLt1rQ7dR82yGyYrB5xpf/TSQxjj16n8Ew7Kn/gxnwcwb4gkhKgD+EsCvSCk/cdi29913n+SkPWaWkDUVhiHSNEUYhnBdFydPnhw7yS5N032KTZIkSOIY6813w8IOIud+yNJbYDc+hMS5H+Yd/weE6Q7dh36jc5IEFFl4Bwmbo+j1evB9H0BfuG5ubg5V2maFEOJxKeV9s9o/yw1mHoRhiE6ngyiKAPTD0vV6HfV6fex9JUmyT7GRUqLb7aLX66FYLKJWq6ltyuWyUm4G96ErN+T1AW7l6QAHGzdHyQ4pJXzPg3H5L2CkAaRh48Sr/gFKJ86N/X4nZVTZMVPTTAhhA/gTAL9/lBLDMLOGrCkSRKZpwnVdVKvViSoFDMOA4zjKGkvTFDvb2/DN70I1+WNY4WOQ4ZcQFr4PbvfTiC79BKw7PghhOAfug9ap3wDsc1sPux20je/7SJIEm5ubcF0XN27cwNWrV1Gr1bC5uckVEgwzAt1uF57nIUkSGIaBJElQqVQmNghI0dC9L91uF47jIIoi7OzsoFKpQAgBz/MghFDencF90PPktaGbHs4SQqjEY/25g2SIlBKdTgfFUgnFV/8QvOcfQdz8Jnaf+jN4m/dg8xXftVThpllWLQkAvw3gaSnlB2d1HIYZBbKm4jhWng6gf/IXi8XMjmGYJpxz/xpJ+D0QV38GBhpwu59GbJyH3buI6NJPw77j1wBxcNiI3MPTQIIoiiKUSiWUy2UIIXD+/Hlsb2+rGP/W1tZtApJhmFt4nodut6uUGNu2EUWRKg7IAvLE1Ot19Ho9NBoNtFotuK4LwzDQbrcB4NBzVc+/mYYkSdBqtSClxNraGhzHQeXV/wDt619D62v/FdH207jS+BY2XvMOuKXxvVGzYJbm2JsBvAfAdwsh/m7v9gMzPB7DDKXb7aLdbiNJEnWyFwoFpGmqKgOmJU1T+L6v9m3VHoS46xOI3bcCAMz0MiQs2N3/F9EL7wdkOvUxD1sLhc9KpZKy7IC+B+jUqVM4ffo00jTFpUuXsLu7O1KIimGOE5RL1+12kaap8qCQZyMrA6jb7SqDwzAMFItFnDx5EtVqVeXT+L6PRqOxL6duFkRRhGazuU+JIaqnXoat+/8FRGEDiD1sf+EPcPObf7MUsmNmioyU8qKUUkgpXyulfP3e7VOzOh7DDMPzPHiepzLvbdtGrVZDr9eDYRhDY8+TQD1oyuWyes6wT8C+88OI1n8agI1+OyXA7v45wm/9FDADAZAkCZrNJuI4RqVSOVDYVioVnD9/HsViETs7O7hy5crMhSTD5AUyBnq9HtI0VbKiWCyqhNwsqoUGDSDCsiysr69jfX0dtm0rD+v169dVkm/W9Ho9tFotGIah+tgMYtkuzrzxnSicvR+ARPfFR3H18T9E6DdmsqZR4QA5s5Lo1hThOA7W1tZUYm6pVMrEG9Pr9ZRFdZtwEwL25juR3vH7SMy7+muDgNP7rwi/8d8DaXz7Didk0Jo6KmRkWRbOnDmDzc1N9Ho9XLlyBa1WC2k6O28Rwyw7ZAxEUaRySyg8S/kqWXljhhlAhBAClUoFJ06cQKVSgW3b8H0fly9fVsn7WeH7PjqdDmzbxtra2pFK2vpdD2DjNf8UMFykvV1sf+EPsfutxxfmnWFFhlk59NAKKSqU1Av0T1q9NHLaY3meB8uyDhVuZvFlMC/8PqLKuyAgIWHCiZ9A8vXvRxJ8bep1jGJNDUMIgXq9jtOnT8M0Tezs7GBnZ2dmVh/DLDNkDKRpqmRHuVxGsVhUFUbFYjGTJPlDDSAN13VRr9extraGSqWCXq+Hy5cvK6NlGsjTEwSBkpGjGneF2ils3f8jMCvnAKQIXvhrXP3Cf0SvszPVmiaBFRlmpdBDKzRWgHoxCCFUvLtUKmVyPApbjVK9IEwX9tl/g/j0/wmJGiQETLkN44V/hujab0Km0URrIGvKsizUarWJXN7FYhGnT59GpVJBp9PBzs4O2u02e2eYY0O320Wr1QJwq/NutVpVIR/f9zMLR49qABGmaaJWq6Fer2N9fR1RFOHatWvY2dlRVZiTrIHCZ4O5dKNiWg62Xvt2FM8/2N9nsI2dL/5H7H7zb5CmyRGvzg5WZJiVQbemDMNAmqYoFArqBE3TFEEQZJLZD/SrlCihdhzlwaq9BbjrjxE7/ZNfIIXd/AiSb74Hsf+VkfczaE3VarWpLEXLsrCxsYGNjQ1IKbG7u4vd3V32zjArj+/78Dxv3/lTq9VUsmuv10Mcx5mFo8cxgAghBEqlEk6cOIFTp05BCIHt7W3cvHlT7W9UqDLpqFy6Udd14iVvxIlveweEWYCUKYIXH8X1v/sjdFvXJ97vOLAiw6wEFFqhmDZ5XfTYcxAEkFJm4o1J0xSdTmdfL4hxMOwN2C/5DYT1/xX9UZOAET8H89IPI7r6G5Dp4Ym3aZqqDqPFYnEia2rougwDtVoN6+vrKBQKqlqCc2eYVYRy6YIggGma6jdeq9WUsUPjTPSeLdMwqQFE2LaNEydO4OTJk7BtG81mE+12G41GYyTvjG7w1Wq1zNovFOvncOred8EsnwEAJMEubn7pj3Hz659DmmSXCzgMVmSY3EOhFRIKaZqquDaRpim63S5c182k94Pv+8qimliBEALOqfciPvu7SFGEgRApKrBbDyP55rsRe08OfRlZU1EUoVKpZBYm0ykWizhx4gTK5TKSJIHneWg0GvuSpxkmz+i5dLZtK0/uYI4ZVS5lZQB5njexAUQYhoF6vY4zZ87Asixl1LRaLZVAPIzBXLosPNM6llvC1ut+EIUz90IghRQmule/gGtf+L8RNK9keiwdVmSWAOrIGAQBWq0Wbt68iXa7vRT1+csKzS4ha4pKFNM03RfXJijLPwthRHNOisViJkqRXXkNcOFTiMUmTDSQoAYjuQ7zxR9BdOXD+7wzcRzPxJoaui7bRr1eR7lchmma6PV66HQ6aLVa+9qhM4tDSqn6jDSbTdy8eZOVzSOgyfYUWqFuunRx170k5I2xbXvoPKVx8X0faZpm5kEtlUo4d+4cHMeB53mI4xjdbndoz5kgCKbOpRsFIQTWX/odWHvlD0AYJgADMvKw++U/xc7XPoM0mSyn5zDyPz0uh+itpGlOBiktNDgwDEO0Wq2J2+evEvok2cH220C/rJo+Q90lTMRxjF6vp5pZTbsWsqiyKsEEAMM5AfHSTyL+xrtgps8D0kRsvhx2+/9CTwLOmX+luhNT+GfWU2+BW6EmGpBJF4EkSVCv15eqTflxYNh8L4IGjXqel2lCe545apaZ67ro9XqwLGuorM0yHJ21AUS4rouzZ8/i+vXraho3ALTbbVQqFaXk0JDLrJSooyhv3gWn/M+w8/SfIw22AaeK3rUv4WaaYvMVD2V6rNwpMpTg6DhOblqrD04u1eOYFHelkex0IunWb7VaneqiNWxI2CjPDf5PCKHme9A8jnHXMIzBk+owpYXGC+ghImrfXavVhgoI3/cz6/1AF4m1tbXMhYEwSzAvfAzJ8/8CZvJ12MlXEJmvQsd4CHJnR733eSu3lGRoWRY6nQ7SNIXjOLlTYpIkQafTQaVSmYsSmAVHKS7FYlFNTKdz0vM8BEGgQqzTfE9HyYRRnzMMA6Zpqq64WciOwfc1zODR87pokj2NAAnDUHlzh5UdU3EAvWYaZmUAEbZt49SpU9jZ2UEQBOoY7XZbva9isTh35dYu1nDqdf8EN7/+CMIbTwF2FeWtV2V+nNwpMsCtREtqarYMUCtpOlHTNO1PQ967ERQbJeFz0AVJn7FBysy4J1O321W5HONAihe9B/0voQsmUm4Mwxj7Aqt7p+izouOQ4kSWJt1IqOtrOchDQdtS++9piKJIeXaytKh0hFWFcedvIv3W/wiRPA8reRZo/z+4KX9QlV4uSoGghoI0eJOU27xAv+Nms4lqtZp5fsAk0NRjys8AsO880M8527aVAk+KyyDURM0wDKXMjNMbhNbU6XQm6vRMiteg7NC9ICQn9HNaH2g4Krp8JflBx6H9k+ywLEttq1fhHeahyDIcTSGlWRhAhG3b2NjYQKPRUF6m3d1dmKaJ06dPL+xaaZgWNl/xXWhVz6Dzzb+Ef+NrKK6dzvQYuVNkhBCo1WrK6qAppIsUqJRsGobhbScUeVooxkoCiHI8yLsx7ESmLoutVkspM6MIX0oooyQ2y7KGKjO6oBkUPgRZU2SB66+h1+n71r02gwqOPmVVfz29znVdFVobx/NzWMgoq94PJNypy+csMewTSO94GPKF/wFIrqErvg2G6E/c7Xa7M7HoRsU0Taytre1rGJYX6Hwi46BcLmc2omISqPIsCALlrdUnFpPscBxHeWvJ60Dn5UHGAynunueNFaKOokh53QqFgjr/6C/dJ3mhyw1d7ukjQQqFgspfI/kx6JkGcJtyoys4tHZ6/6RI02dF4RpdeTlKbhwmF0jhyWIUQRRF6Ha7MzWACP033u121e9jXsc/jNqZV8GtbcEuVDPfd+4UGeCW1WGapkpym7aHxiSQIKLEXP1kopOSTmC6RVF0YBmrbq3QRYIEAgmkUqm0L+ls0IUbx7EKf+gj4gc9KwcpIMM8LboCokOvH/Q+0fsctOj0/TqOs88tfpCFOQ3U+yELRZcsqlqtNpcLuOFsIr3jNyFf+FFsrkXo2idVMufGxsZCL8D0W8kjpIi12214npfpqIpxiKIIjUYDvu/DcRyUy+XbzrlB2RGG4YEX50GlRt9ud3cXzWZTeWqIQdnR7XYRBIFS1mni86DxMpjorcsM8jLrSshBskNXbvTjDPYtGpRNxWJRyVqSt1l/f1mFo+dpABGO4yijd319HZ7nqeaWGxsbCz133fKJmew3l4oMUSwWYZomOp0OGo3GgTkSs4AEUafTUU3XSBiNgi6ght0IEgSVSkV5oQDsO8FI6HW7XfR6Pbiui3K5rDLudctF93YMWjC60DlIAI3DoJAaDB05jjOzC3KWvR+oEsB13bmGIwxnC7jrT2AaDpw9C/zmzZu4fv06tra2cpMjtmzoXl26WA9e5GdJEAS4efMmoihCuVweqyGZrgAMuw3LJ6tWq/A8T+UH0W+Yzm/y4NLnUC6XVXI3yQEhhPIoD5MdtD9dfkzDMLlBHh8hxEy9C2SEZRGOnrcBRDiOowxe+ku9oE6dOrVyBSS5VmSAW3H7VqulrI5ZC3jf91Vr6Gq1etu481GYJJ9kbW1NhbAMw1DZ6ZTEaBiG6v1B+TGlUknF1cmqmRf0Hgcv/pTj5HmeEuZZr4vyDmi+0qToFtWwwW4zx+j/roQQKun7+vXruHz5Ms6ePcvKzBSUy2WVwJxFUv1RpGmKZrOJZrOpztVxE49JWRj3fKnX6+pC5rqukldUCee6rpq0TL/3er0+U6/HYZCxNQiFvprNJkql0kzCrFmFoxdlAA1imibW19dhGAZ2d3dx9epVbG1t5darOozcKzLALXdxp9OZaRKwlBI3b95Es9mEZVk4derU1FUB40AXM7Ik0zRVE1EBqFI7UnbmWWo3DnpJr+/7KvyT1ckupVTVCNP2fqA8rHETJmdFqVTC6dOncfXqVbz44os4c+bMQnNm8o6eVD/LJOAoinDjxg0EQYBSqYT19fW5KqF6SK3dbqNUKqkmkaZpolqtQkqpehTNwyCcBMoB8TwPvu+rppBZGUKU55hFtddCDaABSHE2DAM7Ozu4evWqGhS7CqyMf8kwDNUIjRrLZdlQLgxDvPjii9jd3UWpVMLZs2cXpiRQ11rSroUQqhtls9lUbtFlufgeRLFYxNraGoC+2zOr0fRZ9X6gJoW6BbsMFAoFnDt3DqZp4sqVK/A8b9FLyjV0cTQMA61WK/OGcu12G5cuXUK328XGxsbCwoJkQBiGgatXr2J3dxeFQgFra2uqWzTQ9/wuoxJDkKwvl8uq3f6kgxN1sgxHkwE0T0P3KGjS/alTpxAEAS5fvpzJ57YMrIwiA/S/qHK5vO8HnkUH0maziRdeeAFRFOHUqVPY2tpaaPZ3HMeqIomsR31+RrVazY2VblkW6vU6XNdFEATqPUxKVr0fyKKiHirLhm3bOHv2LCzLwrVr17gT9JSQx4Kahx3W5n1UkiTBtWvXcO3aNViWhXPnzqFery80P4ES//XKHt/30W631WewSNk2DqSECSGUITTNd0afzbTJ38tqABHVahWnT59GFEW4evXqRGX2y0Y+frFjQiVz07qL4zhW3RILhQK2trYW3nui2+2qKa2bm5sAgO3tbezu7qJWq+HEiRO5cxdSMrNt22qmD4XJxiWr3g+UBLrMnZVt28aZM2dw7do1bG9vI0mShVTvrQoUuvV9f19IcZLP0/d9XL9+HXEco16vY2NjY6GWud4bxnEcrK+vIwgC7OzsQEqJ9fX1pQxDH4VlWSrURGXskzQ8pHC0ZVlTKR/LbgAR9F3fuHED165dw+bmZm6M32GsrMSbxl1MP8ZLly4hCAKsr6/j3LlzC1ViqNTb8zz13izLQq/XU9UD1J8mr7iuq74zeq/jjqbPovdDkiSqLHYZLSod27axtbWFQqGARqOBRqOhevMwk1EqlVCpVNRcq3G8ummaYmdnB1euXIEQAmfPnsXm5uZCFQSqsKSQc61Wg5QSURSpXjVpmubWo0eGUKVSUQ0PB0u4j0LvhDwNZADNooAha8rlMjY3NyGlxM7OTq69uivpkSEm6RkRxzF2d3fRarXgOA5Onz690J4dwP4mVZSpT5NbKVF2c3NTNc5b1kS9UaDvzPd9dLtdVRk2imLieV4mvR/IolqGJL1RoI6eu7u7KiRSrVaXXglbZqg5I3l1R/EQkoej1+uhUqlgY2Nj4WEaSqjXpzpTpRIAnDx5ElJK9T7nNcNrFlB1JhV9UEXkUUokJT1PG47WDaC8yN9KpQKgnz7Rbrdz69VdaUUG2O8u1sMFw+Z0+L6P3d1dhGGIWq2G9fX1hZ7U5O4MgmBf/DqOY9XgSFdaSGkjpSevrkJSIqgUtNFoHNmFNatRBEEQKOUwTyez4ziqxJas0VmVpx4XKGyhV/oM+zzpfGw2mxBC4OTJkwtPtKcWB1EU7ateJMWGKpVIvuktLObZjytrTNPcN+SUzuXD3k9WxQF5M4AI6jnW6XT2ta1YdBrFOORHUk/BUUnAYRji5s2b2N7ehpQSJ0+exObm5kKVGKoioKQxPZTUbDYB3F5dQEqb4zjwfT/31Sx0cabcmcNcn1n0fiCLimba5A3XdZXnII5jlcSZV3fxMkCVPnRO6UnAZPzs7Oyg0WjAdV2cPn167s3PBgnDUIUYK5WK6qXU6XSUx2BtbW2ffCOlTQihKh/zCuWnUAit2WwemFpAYz+mDUd3u11Vtp0nAwi4FZorlUowTRNxHM+kem+W5FLtJg0aOLyD5LD/UVVCt9tFuVxGGIbKW1MoFJTQmuREps65kwoxfXqr3hvGdV01PbXb7cK27QM9BsN6zeQxiY8Y7DnTaDRuG6BJowimLXWk0BS5W/NIsVhUnjygf1Fb1AiPZWNwYOA4ssO2beV58X0fxWJxX1JwqVRSrQTGzc8AbjWAm/T3S119e72eypsjjwvl18VxfKiXbrDXzKJnUU0L5RIe1nwzi1EESZKo3MU8GkDArW7XVMpOY3EWNcJjXGaqyAghvh/AhwGYAH5LSvmBLPY7bb8RSia9evWqEiCFQgGu6yKOYxU/nhQafHjQhGtSWAYnt+qJupZlqex73U1cKBRG+mHRCev7/lhD45YVmstELnwSyHrvh2mE7iy7DM8banZGE3CTJFEKYJ7cxVmTJIlS8KZhd3cXly9fVl1vS6USbNueet/6oMiD5o8NDmwdHNYIYJ+MiKII7XYbAEbKmyLDgfIKKS8vrxzWfJPaWBSLxYnPeZLNeTeAgP3KTJqmsCxrISM8JmFmiowQwgTwEQDfC+ASgEeFEJ+UUj417b43NjbU/cPc5gf9L0kS1T6fBrZl4bWgYYnUmpqsNQCHDlAbNruE3JwH5cOMAs2iWoVEPuBWzxlykVPVxTSjCCjRMYoiuK6bawtUp1KpQEqpBHUYhmi1WkOnk+sD/lYZx3FGkh2HyRTytti2rcLVWeQhxXGsJkLTfB6SUweNJKDv0nGcfbKDtqVWDYP5MEehe3X1ap48/z50Q6jVaqFYLCrPw6Tfny6b824oEqT40TiLYrGIIAiwu7s7dDr5vMfeHMQsPTIPAPialPI5ABBCfBzA2wFMrcjQD3Bvv+rvsOcG0ecSnT9/XllBo0AD2/T7+mO9hJGsId1y0gUPDUyk6ohhUHWB3rl3XAZnUeXdKichS0KalJlJKnSSJFGZ+nl3ow+jUqmg3W4jCAJUKpV908+jKLotBLLMgioL6P0fJTMOumD3ej01v+zkyZMjTwEflBnD7pPsoAGwpNjQlHp9anyhUEChUIDjOAdOlvY8D71eD7ZtT5R4TB4G0zSVYrXsVvlRkCGkD9+dVEHr9XrqOpKnJoKjQIovFQ5Uq9V93j/6TRKkaA+THfNSfmf56Z8D8IL2+BKANw1uJIR4H4D3AcCdd9450o6plfZRDAoqimUCfSGvJzMdJmTGTZYkgUMeEfpC6QJCXhvKrKfBiuRSJuFBDZqm1fYpkW8VyrOJQqGg5kxN4vrWS1BrtVqulbuDIKWv1Wqh0+mgVqvtsz4HQ5x0G2xbfpAXZ5HevUnkBlnQI+xb/aX7lEtHioEeRhpm1Oj3x3hPME0TxWJRKREkO3S5oYe/9VCUbdvKwxjHMYrF4tRhIQq7zGuw5qzRm2+SF3YcKJR9VK5i3rEsS4WZfN9XieCEHuLUFZzB3NJ5GUcLVyOllA8DeBgA7rvvvpHOespG33u9+nuYIImiSCkx5XIZpmnuGwuvCy/6kOn5gyy4wftHWWiGYcCyLHUxIVcy/QDIQiarzHXdzFy6eiJf3suzCbIcxuWgEtRVRFdm2u32Po8ceSOHWZO6gCKhpXtxTNNEvV6f63vRmURukHAeJh8Oe47CxI7jqPwjHf38P0gu6I+H3adQ90HozRmpmR3JD12pItmRpbGiD9YkZSbvHgjXdcf+fCbJVcwzZETr3zv9Run3OmgA6saRruz0ej11XmWhYN+21kz3tp8XAdyhPT6/99zUjGs9R1GEMAxRrVaXKk9k8CKix8lt28481EHxT8oxyaKT5biQZUslkvP0hAy2ac9zNdc46HHvVqs1UhjtII8LCao8lnQfpSwMg8r6l6mFvxDiNsWG5EaSJCgWi5krGlQBpIeo59lwkSrxqHHdtP2ixoXaYZDMXLUw9EE4jqOUGfreD/ttHWYc6XlfWTNLReZRAC8XQtyFvgLzTgDvnuHxhhJFEVqtlmqUtMxuQPoBzPIkGSzPPqhBYNZQWC+KIlWJ1Wq1YNs2SqXSzC08Oh6VE+bdGzUuFMunUtRJy9XHySnLO3SOUH+eZYXaPszaKFhUeTblJqVpCtu2VYl5sVhEsVicuew6DmHow6A8S73L9STevkkMiVGZmUSSUsZCiB8D8Gn0y69/R0r55KyON4wwDNVU12VXYuYNhdc8z5tpebYeU6bGhHQSkMu+2WzCdd2ZWVnjlqCuKqTEZjEUcdXpdDpqblfeOrXOksHybEqUnwVxHCulm2Q4zYWi33C320WxWEShUJiJQkNh6CxyFfOM3uW60+kog3BZmKlpJaX8FIBPzfIYB0FZ5cf9B3gYhUJBxb5nUZ7d7Xbh+77K9xlUVIrFIlzXVQJpFlbWpCWoqwx18Ox0OiO5i48TevhxFrH8VUBXiGfRdDNNUyUTyPjRPT+GYaBSqaBQKMD3fbWOUqmUWV6Q/jvIMlcxz5ASS1Vf1F9mGT6XlZRedPGatPTwODGL8mzdkrIsC+Vy+cALpWEYSlBRFZculKbpknwcqgsmZdhQxLxXsk2L3lPoOIYfx4EUjKybburGT6FQOLRZHSVvUyEHzQqaNvdOb8vAv4P9DJbl0zVj0Qbiykn2IAhYiRkTchsahrFv6OC4UFY/dYasVCoj91gwTXPf9p7nodFoTLQWyofRx06wEnM79L3TxOBpO2bnGV2JyarJ3XGASsVpPo8+w24coihCo9GA53nqdzlql23btlGv11WvJEpqn2QtNIuPmtzx72A4xWIRtVoNaZqqsQaLZKU8MhQ3PU4VKVlBMehJyrP1ElUp5VThIbKyqLppXCtrmk7Ix5FldhfPC30WEf9mxkcvzx53enaapvA8D2EYqpDRpJ+/67pwHEfJIhrkOWruHYehx4Mq2ag8e5HVXCujyOSlwmCZGSzPpkS+wy5qpHAkSaLatmchAKi8lCoWWq2WKrs8aP+r3G1zliyru3ge6NVsxzkRfFrGLc+mcmrqgZNVbhyNHBgn9y6LTsjHFb2SbZFDJldC0nOFQXYMVraQi3XwhzlYTj2ri8CoVlaWFJMJFQAAIABJREFUnZCPK9SJWk8CXuVSU12JOY5ltVkzWJ59UH5JGIZqIOVRxsmk6Ll3eoXTYO6d7o3j5O7JoGGTekuPeeck5lqR4QqD2UGKgud5yl1sGMY+S4qa2s2q9JEYZmWFYahmzlC3Ta4umB69Z8Si3cWzhBqcSSlZicmQw5puDho/8/jcyciiAgS62JJ84zB0dlBRxyKqIXOryHCFweyh8mz6YRYKBVVuOcu+LwcxzMrSh7+t4gV3EdBFhprnLcpdPCsoj4qUGA5BZstg0800TWEYxm29pOb5e6IEYgqFU18pDkNni14NSXP95hGuzeW3N1hhwBew2eE4jkoC1htDLfLE162sIAjUAEkmOwzD2NcrZBHu4llA1TU0Uf445AEtCr3pJoCFGD+DOI6jugPHcbzw9awievO8w0KMmR5zpnufAVJKtFotrjCYI/TDjON4qZIhSaliZgNZz7q7eJlmlY0LdXimmH5e30eeKBQKaoL3sng9hBBs/M6YwRAjXa9n5YXLpSpK1iIrMfPDMIylUmKY+eG6rpoa3Ww2EYbhopc0ETR9nj0x88W27aVRYpj5QSHGUqmEMAzV0M1ZkDtFhj4cvqgyzPygpmOUIEm5SXmCZ64xzPwpFouoVqtIkgTNZhNxHGd+DD6jGYYZCUqMdBwHURRBSrnoJTEMkwOoGhLATBQZ9vcxDDMy5BGVUq5MFRPDMLPHNE3U6/WZyA32yDAMMzasxDAMMy6zkhtimdzDQogbAJ4fcfNNANszXM4kLOOagOVcF69pdJZxXeOs6SVSypOzWsgKyA1gOde1jGsClnNdvKbRyVx2LJUiMw5CiMeklPcteh06y7gmYDnXxWsanWVc1zKuaRSWdd3LuK5lXBOwnOviNY3OLNbFoSWGYRiGYXILKzIMwzAMw+SWPCsyDy96AUNYxjUBy7kuXtPoLOO6lnFNo7Cs617GdS3jmoDlXBevaXQyX1duc2QYhmEYhmHy7JFhGIZhGOaYw4oMwzAMwzC5hRUZhmEYhmFyCysyDMMwDMPkFlZkGIZhGIbJLazIMAzDMAyTW1iRYRiGYRgmt7AiwzAMwzBMbmFFhmEYhmGY3MKKDMMwDMMwuYUVGYZhGIZhcgsrMgzDMAzD5BZWZBiGYRiGyS2syDAMwzAMk1tYkWEYhmEYJrewIsMwDMMwTG5hRYZhGIZhmNzCigzDMAzDMLmFFRmGYRiGYXILKzJMLhBC/KwQ4rcWvQ6GYRhmuWBFZgURQrxbCPGYEKIjhLgihPhzIcRbFr2uaZBS/qqU8kcBQAhxQQghhRBWFvveU5I62i0QQqRCiM0s9s8wDMPMDlZkVgwhxI8D+BCAXwWwBeBOAL8B4O2LXNcys6ckVegG4H8D8N+klNuLXhvDMAxzOKzIrBBCiDUAvwTgX0opPyGl9KSUkZTyP0spf3JvG1cI8SEhxOW924eEEO7e/x4SQlwSQvyUEOL6njfnHUKIHxBCfFUIcVMI8bPa8f6tEOKPhBAfE0K0hRBfEkK8QgjxM3uvf0EI8X3a9t8UQnzPwOs/tnefvCzvFUJ8SwixLYT4uWHbAvjM3t/GngflbXtre422/SkhhC+EODnmZygA/AiAj47zOoZhGGYxsCKzWnw7gAKAPz1km58D8CCA1wN4HYAHALxf+//pvX2cA/ALAH4TwA8DeCOAtwL4eSHEXdr2/xDA7wE4AeALAD6N/u/qHPpK1X8Y8z28BcArAfw9AL8ghLhnyDbfufe3vudF+UsAH99bJ/EuAH8hpbwBAEKIxojhtbcCOAXgT8ZcN8MwDLMAWJFZLTYAbEsp40O2+ecAfklKeX3vIv+LAN6j/T8C8CtSygh95WATwIellG0p5ZMAnkJfASIekVJ+eu+YfwTgJIAPaK+/IISoj/EeflFKGUgpnwDwxMCxDuOjAN6151HB3nv6PfqnlLIupbw4wn7eC+CPpZSdMdbMMAzDLIhMkiWZpWEHwKYQwjpEmTkL4Hnt8fN7z6l9SCmTvfvB3t9r2v8DABXt8eD/toe8vgKgMdpbwFXtvj9wrAORUn5eCOEDeEgIcQXAywB8csRjAgCEECUA/xScT8QwDJMb2COzWvwVgB6AdxyyzWUAL9Ee37n33DzwAJS0x6cn3I884PmPoh9eeg/6XpXumPv9QQA3Afy3CdfFMAzDzBlWZFYIKWUT/byWj+wl6ZaEELYQ4u8LIf793mZ/COD9QoiTe+XFvwDgYwftM2P+DsA799Z0H4AfmnA/NwCkAF468PzH0FdGfhjA706w3/cC+F0p5UGKEsMwDLNksCKzYkgpfx3Aj6OfwHsDwAsAfgzAn+1t8ssAHgPwRQBfAvC3e8/Ng58HcDeAXfRzc/5gkp1IKX0AvwLgs3tJvA/uPf8C+u9HAnhEf81eddNbD9qnEOIcgO/GZAoQwzAMsyAEG5/MKiGE+B0Al6WU7z9yY4ZhGCb3cLIvszIIIS4A+McA7l3sShiGYZh5waElZiUQQvw7AF8G8GtSym8sej0MwzDMfODQEsMwDMMwuYU9MgzDMAzD5BZWZBiGYRiGyS1Lley7ubkpL1y4sOhlMAyTIY8//vi2lHKs4Z3jwHKDYVaTUWXHUikyFy5cwGOPPbboZTDHkDiO0ev1YFkWbNuGYUzurJRS4tbIJ0YI8fzRW00Oyw2GWU1GlR0zU2SEEHeg31xsC/0GZQ9LKT88q+MxzKSEYYidnR20221IKSGlhGmasCwLpmnCNE21Lf1fhx7rz9u2jRMnTsC2bZimyYoNwzDMjJilRyYG8BNSyr8VQlQBPC6E+C9SyqdmeEyGGYtut4tWq4VGowHXdWGaJuI4RhRFCMNQbWcYBmzb3qeY6MrJ4GPf93Ht2jVUKhUYhgHLsvbdpvH4MAzDMLeYmSIjpbwC4Mre/bYQ4mkA5wCwIsMsBZ7nIQgCtNttWJaFzc1NFAqFfUpJHMeI4xhJkiCO+wPFhRAqBGXbNizr9tMoDEM0Gg1IKeE4DpIkQRAE6v+k3NDr2WvDMAwzGXPJkdnruHovgM8P+d/7ALwPAO688855LIc55kgp0el00O12EYYhpJRYX19HrVa7bVtdSUnTVHlroiiC7/sA+ooNKTW2beOFF16AYRjY2tpCp9NBmqZq36QY0U33+pC3hpSbcbw2FPLSw1z6LQxDRFGEWq02VPHKGyw3GIYhZi7RhBAVAH8C4H+RUrYG/y+lfBjAwwBw3333cXc+ZqakaYp2u40wDJEkCZIkQaVSQb1eP/K1hmHAcRw4jqP2RUoNhaLiOMZXvvIVxHGMjY0N3HPPPYiiCJ1OB5VKRSk7+nqiKFKKTbfbRbfbVcezLAtCiNsUk0GF5TDCMITneQCAVquFU6dOoVQqTfT5LQssNxiGIWaqyAghbPSVmN+XUn5ilsdimKNIkgStVgtxHCNNU5imCcdxUK1W9yX0jophGHBdF67rqv3v7OxgbW0NOzs72NnZwV/91V/hZS97GU6cOAEAqFarh+5DSokkSfYpN8CtHBwhhPLU6M/p4TD9cbfbRZIkWF9fR6FQwI0bN3D58mXU63Wsr69zrg7DMLlnllVLAsBvA3haSvnBWR2HYUYhiiK0220kSQIppfKKmKaJYrGYyTHiOIZpmrj33nuxs7ODL37xi0iSBM888wzq9TruuusuCCFQqVQO3Afl30wb/pFSwvM8hGGIUqmEcrkMIQTOnz+P7e1tNBoNBEGAU6dOKSWKYRgmj8zSHHszgPcA+G4hxN/t3X5ghsdjmKH0ej20Wi0kSQKgXxpdKpUgpUSxWMzEK5GmKTzPg2VZKBQKOHfuHB566CEVsmo0GnjiiSfwjW98A51OZ+rjHYaUEu12G71eD8ViEZVKRXlrTNPE1tYWTp8+jSiK8OKLL6qkZIZhmDwyy6qliwC4DINZKL7vIwgC1aTOsizUajW0220YhoFCoZDJcTzPg5Ryn7elWCzizW9+M7761a/i2WefRZqmeP7557Gzs4Nv+7Zvw8mT2Te7TZJEeZ4qlcqB3hb6340bN7C9vY0gCLC5ubkvf4dhGCYPcICcWUmoMomUGKDvianVair/pFQqZVLy3Ov1VAhnMNdGCIFXvvKV+I7v+A6lNHU6HTz66KN4+umnM/WExHGMZrOpqqSOChnZto0zZ85gfX0d3W4XV65cUU0BGYZh8gIrMszKkaYpWq0Wer2eSnp1HAe1Wg1CCPi+D9M0M8kNGQwpHcT6+joeeughnD17FkBf0fr617+ORx55BO12e+p1hGGIZrMJIQTW1tZG9qwIIbC+vo6trS0YhqE8NHpZOMMwzDLDigyzUuiVSYZhqIZ01WoVQgj0ej2kaZpZ+bHv+5BSqmTaw7AsC294wxvw+te/XuXltNttPPLII3j22Wcn9oToTf3W1tYmqsAqlUrY2tpCtVpFp9PB9va26oHDMAyzzLAiw6wMFFpJkgSGYSBNUxQKBaXESCnh+z5s21a9YKYhDEOVUDtOldH58+fxtre9DWtrayp355lnnsEjjzyCVuu2VksHQuEz3/eVx2maxGXbtrGxsYH19XWkaYrd3V3s7u6yd4ZhmKWGFRlmJej1emg2mwD6lTlpmqJYLKJcLqttKF8mC28MlTdPWr5dKpXwlre8BXfffbdSvDqdDi5evIhnnnnmSO/MYGUSKWvTYhgG1tbWsL6+Dtd14XkeGo0G2u02e2cYhllKWJFhck8QBOh0OjBNE4ZhIEkSlMvlfQpLmqYIggCO42TSot/zPKRpuq+0eVyEELjnnnvw4IMPwrIspGkKy7Lw7LPP4jOf+YxSzAZJ0xTNZhNRFN32PrOiVCqhXq+jXC4jjmN0Oh00Gg30er3Mj8UwDDMNrMgsCUmSoNvtot1uY3d3F51Oh6tHDkFKqVr/+76vlBMqOx5MvKW5SFlc9KMoQq/XQ6FQyEQp2tzcxEMPPYSNjQ2EYQjHceD7Pi5evIinn35a9b8B9lcmVavVzMrHh+E4Dk6cOIFyuQzTNNHr9dBut9Fqtdg7wzDM0pD/6XE5hYYP0l9SWgzDUBcNuljxVGSo6dP0mekXd9d11XPVavW2/JckSZTiMUkirA7lpZimmaknxHEcPPjgg3jmmWfw3HPPqRDY17/+dbTbbdx///1KcRNCzG34o2EYqNVq8H0f3W4XcRyj1+shSRLU63X+bTIMs3Byqch0Op19w/uWHX1+Dl2IdcXFcRw18ZgutL1eD51OB81mc+okTn0d+t9hzx32P6Cff2Ka5sgXsFG9Svr+aMq0fqP9UFM7ChEJIZT3qlarDS079jwPQohMRhH4vq/6tGR9ERdC4BWveAXW1tbw9NNPw/M8FItFXL9+HY8//jguXLigGvrNc0aSEALlchmWZcHzPCRJAtd1WYlhGGYpyJ0ik6ap6l5aKpUym5MzLaSk6BcY8hLQfB8AalAhTUE+6ILkui4Mw0C73VbKzLjehF6vpzrOjgMpXvRZ63/190HeI/3+uBc3Opb+WeneFtM01ewhuq8PU5RSKq/BMA8FfS+lUmnqi38UReh2uygUCjPrgGsYBra2tlAoFPDcc8/hypUrMAwDV69ehWEYuPfeexemQLiuC8uy1PTwYrHIygzDMAsnd4oMXbQoN4ISOxcpUKmPhz6xWL/gU7kveRGovwn1OqHbINSJlpSZarU60gWUwh9hGMKyLNi2rcp8daUmTVPl/SBlhRQK2pamLZP3g15D21NYjD5/ei/0PvX7hBBi37FozdRUTldaaL+HKWOHhYx8389kFAFVKRmGMZPkWh2qHHrpS1+KWq2GZ599FgBw+fJlVKtVvPzlL5/p8Q/DNE2sra0hTVNWYhiGWQpyp8gA/QthtVpFEARKmalWq3N1twN9RaDdbqPT6SBJEuUh0r0UtB3dwjA88KKsKzW60kHhk3a7jXK5vE+ZGQwFxXGsKmro4h1FkfKo6ErLYMImrXuYl+Wgi5aUUu1PP0a32923HYWEaJ80uJG8LYPKThaEYYg4jjNRdIMgQJIkMwkpDYMUdsMwcOLECTzxxBMIggDPPPMMbNvGhQsXZr6GgxBCTJ1rxDAMkxW5VGQIUhp0j8U8EiCBftiIqotc11XVHaNcjOnir4dw6DlSCnQvB9Af8ud5HjqdDkqlklJS9ON1u10EQQDbtlGpVJQXQd8XhbZ0rwfdJ4WFtj1MgRkFUm4Gw0YUDnJdN5MxAcOg5ndZjCKI4xhBEMB13bkOVSTvBwB853d+Jx577DHs7Ozgy1/+MkzTxB133DG3tTAMwywruVZkgH61x9ramlJmDpv4mxVBEGBnZwdhGKJarWJtbW2sxGPdoh1H8arX6ypkZJqmavaWpik6nY6y3iuVCrrdLnzfR7lchuu6+7ws8woJ0DGHVRGRUhaG4VS9WA6CKmumrfqiMJ1hGPua680b27bx4IMP4ktf+hK+9a1v4YknngAAVmYYhjn25F6RAaBmzAyGebJGSolGo4FGowHDMLC5uTnX8mgKqXmeh263izRN4TiO8rqQ0uJ5Hnq9HhzHmYmSMC2maaJWq6nQYKPRyNSbRt4Yqm6aBgopLUMZvBACr33ta1Eul/H000/jiSeeQBzHuOuuuxa6LoZhmEWyEooMcCunwPM8dfHJ8iIeRRGuX7+OIAhQLpexubk51zCDDuV87OzsqFLgtbU1CCHUwMRisTjzpNRpoRlFVGaeVRUajSKY1oNCIaVlK/W/++67USgU8IUvfAFPPvkker0eXvWqVy16WQzDMAthZRQZoG+xVioVmKYJ3/cz68HSbrexvb0NKSU2NzeV0rAokiRRFUlU9UPhGinl0KZwy4pt21hbW4PnefB9H1EUoVKpTPydpWmKbrebySgC6j+zyJDSQZw7dw62beNv/uZv8LWvfQ2+7y+0NJthGGZRrOSIAhqiRzNpqOfIuMRxjKtXr+LatWuwLAvnz59feDfTXq+HRqOBNE2xsbGBra0t9Ho9XLp0SVXV5EWJIQzDQLVaRblcRhRFaDQaiKJoon35vp/JYMggCFTF07yr4Ubl1KlTuP/++wH0S7MvXrzIk6oZhjl2LKeEzgBKAgaAZrM59rA7z/Nw6dIleJ6HEydO4Pz58wtVEGjacafTgW3bqNfrsG0bYRiqXi20XV4pFApYW1uDYRhotVpjN/PLahRBkiTwfR+O48w8cXxatra28IY3vAFA/3f+mc98Bq1Wa8GrYhiGmR8rq8gAt8pXKQ+DBgceRhzH2N7extWrVyGEwNmzZ7GxsbFQL0wcx2g0GgjDEKVSCbVaDUA/5NXtdlEul3H27FlYloVWq5Vrq5wSt13XRbfbRavV2tfp9zB8389kFAHNM1rGkNIwzp49i9e85jUA+iX4Fy9exJUrVxa8KoZhmPmw0ooMcCsJ2HVd1YF3mJVPlS7Xrl1Dq9VCtVrF+fPnFz4CIQgCNJtNAMDa2hqKxaKagEz5JDQHh9r0k4KTVyjXqVqtIkmSkTxqURQhDEMUCoWpQkE0GDGLkQbz5CUvecm+hN/HH38czzzzTK49dAzDMKOQH0k9BXRhLJfLCMMQzWZzn5UfRRFu3ryJGzduqNyTkydPLrR7aZqmaLVaKsRRr9dhWRZ6vd4+xUYPfZDSRiXZnuctavmZQOFB0zTR6XTUcMhhZOGNoZCSbdtTjzRYBC972cvw0pe+FGmawnVdPPvss3jssccmzhFjGIbJA7msWgqC4LbnDgr96M8LIeC6LjqdDrrdLiqVCqIoUn1ZXNfF2toaCoXCRMmm1IZ/0jAUdfelMQNUQkwXVd/3EQQBLMs6cCTDsF4zy9hLZlT0njOUgFupVPZVJGU1ioAUv7yElIZxzz33IAxDXLp0CbVaDdeuXcNnP/tZ3H///Utfjs8wDDMJM1VkhBDfD+DDAEwAvyWl/EAW+x0l1+UwDMNAp9PB9evXVafbQqEAx3HUtORpoEGN9Hfw4qorLHrr/sGpz9VqFaZpqkTfKIrguu5IF2yqtvF9H+12eykauk2KEAKlUgm2bd/WcyarUQRU+l0ul3M9R0gIgde97nWIogjXrl3D6dOncf36dVy8eBFvfOMbsbGxseglMgzDZMrMFBkhhAngIwC+F8AlAI8KIT4ppXxq2n2vr6/ve3xYHsCw/+mTex3HQalUmqp3ib7fOI4RRZFqykbHopthGLcNa6RBio7j7BvaSFOi2+22mvI9TsijWCwqpY1mUeX5Ik09ZyhxO4oi2LY9VeddfVK467q5DCkNIoTAG97wBnz+85/H1atXcffdd+PSpUv467/+a7z2ta9V4Tp9MGiefxcMwxxvZumReQDA16SUzwGAEOLjAN4OYGpFhjwXgwMO9b8HkaYpPM+DYRg4d+4cDMMYq0OvlFIpRwfdpwnWvV4PcRyrG104qKy3UCioOUjDCMMQnU4HAFCr1SbqJOy6LgzDQLvdVknM8xqsOQsoD6jb7cLzPERRNPEoAl1JzKqr8LJgmiYeeOABfO5zn8Nzzz2HV7/61eh0OqjX60jTFL1e7zYlf3D6ua5QMwzDLCuzvKKdA/CC9vgSgDcNbiSEeB+A9wHAnXfeOdKOKdn1IIYpN+TdoNwTyo8BoIT6oFIyTEkZBZoqPTisMUkSRFG0z2sTBAFM09wXijIMQ80h0kNMk0KejFarhVarhUqlkrumeYMUCgVYloUgCCZSQKIoQrvdBoBcdUIeB8uy8OCDD+LixYt48skn8cADD6Barar/06R1/RbH8W3l++S10b03i/biTCI3GIZZTRZumkspHwbwMADcd999I2kLJIwHlY1hz9H9OI5V1Qvlj+i5MIPeHQozDT4/7LF+/zALVvf+SCmVpyaKon3l0hR+ynLoI/XUabVaaLfbY4eplhFKeh4X8uZkoSQuO47j4Nu//dvx2c9+Fo899hgefPBB1Ot1ALc8h4OePgqJDio5YRiq88k0TbWfRTCJ3GAYZjWZpSLzIoA7tMfn956bmnGt5ziOVVilVqstxYVLCAHbtmHbtkpa1T02lmVlHuowDENNCfc8D2mazr2SJYoilaxNCbzzQkqpJoPbtp3rBOhxKBaLeNOb3oSnnnoKYRii2+0eqsSSQj7sPCEFh2EYZlmYpSLzKICXCyHuQl+BeSeAd8/weEOhEIIQYmmUmGFQ6fas81eoPJtKubOeEn4Q1KOFRioAQKvVUsnWs/5e0jRFu93OzWTwrKlWq7j//vvR6XTgeZ7KCxr3eycvDsMwzLIws6umlDIWQvwYgE+jX379O1LKJ2d1vGGEYYh2u616kbAA7kPt96k8m7xVs/h8pJQqF4jKqMkb0O12EQQBGo0GCoWCqrLKmjiO0W63VU+dZZ+fNCtoOKfv++h2u0qJ5fOCYZg8M1PzX0r5KQCfmuUxDoKVmKPRy7NJmcnSM9Lr9eD7vuo0O9j2v1gsqtER3W5XDXwsFouZeYh6vR46nY4Kq+W5YisLSIml+WPNZnOpPZUMwzBHsZJSnS5eNH/oOORBTIpenk0XtWkv9tSZmErODysdNwxDJR5TuKvX6yklZ9pOvd1u99BOyMeVwe99FSrZGIY5nqycZO92u+h0OrBtm5WYEaHybCEEms3mxNOz0zRVVj418KvX6yMl9FIFEXnPPM+beC00p4qSWtkjNxzbtlGv15VCM2z0B8MwzLKzUh4Z6r2SZdnycYHKs9vtNtrt9lgN4qSUKowkpZwq34WUqjAM1XgF27ZRKpVG8hQlSYJWq4U0TVeixHzWUMiNuiWTAsrnDsMweWFlFBkKS7ASMznUNZcuaqQMHAYN3UySBLZtZzaryHEc2LatFKRms3lkhVMWnZCPI1TJRoYAjXxgLxbDMHlgJRQZfXp1pVJZ9HJyzajTswfLqWfRHZeGeVJCcBAECMNwqMeHLsKcDzM5xWIRpmnum8113JOjGYZZfnItpfQGZ4VC4UjvATM6B5Vn6+XUQP/il2WV0TD0sm0qHdYTgj3PQxiG7I3LAMdxUKvV9iUBH9dydYZh8kFuFRl9avFxbHA2D8hCp4tasVhEEAT/f3v3FiJlHYdx/PvsTivpRhaFlEp6IYZIZUhYQRdZYCXaZVFh1GUHiyCU7kMooqAowg5CYoQZSVApFnRTUVmYh0rp4CFNI9pVE3Tw18X7vstqkjPrzvz/rz4fWHZm8OLB2X329x7m/x/aPqEadrqlp6eH/v7+oYGm+gLOuk0fU2o0GkP3Sx06dGho8TwzsxzVcpCJCA4ePMixY8f8B6zD+vr6hvZoqvYnSn3/SfWx+mqPqjFjxvijw6Osul/q8OHDHDlyhGazec5s6WBm9VK7QSYiGBwcpNls+lMpXVIdoTebTfr6+rL5Y1btVWWdIYn+/n4ajcbQx+HP9k02zax+anlHZFWwHmK6p7e394wXqLN6qtbiOX78OAMDAyfsGm9mllrtBplq80ffgGjWPdX6Pj09PUOLDZqZ5aB2g4yZpVEtmlit7xMRqSOZmdXvHhkzS6c6IxoRvsxoZlnwGRkza5uHGDPLhXI6PSzpAPBbi//8EuDPDsYZiRwzQZ65nKl1OeZqJ9MVEXFpp4KcBb0BeebKMRPkmcuZWjfq3ZHVINMOSV9HxOzUOYbLMRPkmcuZWpdjrhwztSLX3DnmyjET5JnLmVrXiVy+tGRmZma15UHGzMzMaqvOg8yrqQOcQo6ZIM9cztS6HHPlmKkVuebOMVeOmSDPXM7UulHPVdt7ZMzMzMzqfEbGzMzMznEeZMzMzKy2ajfISJon6UdJOyQtSZ0HQNJkSZ9K2ippi6TFqTNVJPVK+lbSB6mzAEgaL2m1pB8kbZN0fepMAJIeL9+7zZJWSUqyI6mk1yXtl7R52GsXS1ovaXv5/aIMMj1TvoebJL0naXw3M41Ebt2Rc2+Au6PFTO6N9jJ1pDdqNchI6gVeAm4DZgB3S5qRNhUATeCJiJgBzAEeyiQXwGJgW+oQw7wAfBQRVwJXk0E2SROEa6TvAAAC9UlEQVSBR4HZETET6AXuShTnTWDeSa8tATZExDRgQ/k8dab1wMyIuAr4CVja5UxtybQ7cu4NcHf8L/fGiDJ1pDdqNcgA1wE7IuLniDgKvA0sTJyJiNgbERvLxwcpfsEmpk0FkiYBdwDLU2cBkHQhcBPwGkBEHI2Iv9OmGtIAzpfUAMYCv6cIERGfAX+d9PJCYEX5eAVwZ+pMEbEuIprl0y+ASd3MNALZdUeuvQHujja4N9rI1KneqNsgMxHYNez5bjL5xa9ImgLMAr5MmwSA54EngeOpg5SmAgeAN8pT1ssljUsdKiL2AM8CO4G9wEBErEub6gQTImJv+XgfMCFlmFN4APgwdYjTyLo7MusNcHeclnvjjI1ab9RtkMmapH7gXeCxiBhMnGU+sD8ivkmZ4yQN4Frg5YiYBRym+6c7/6O8dryQoiwvB8ZJujdtqlOLYr2EbNZMkPQUxSWSlamz1FVOvVHmcXe0wL0xcqPdG3UbZPYAk4c9n1S+lpyk8yjKaGVErEmdB7gRWCDpV4rT6DdLeittJHYDuyOiOupcTVFOqd0C/BIRByLiGLAGuCFxpuH+kHQZQPl9f+I8AEi6H5gP3BP5L0iVZXdk2Bvg7miVe2MEOtEbdRtkvgKmSZoqqY/ixqq1iTMhSRTXbrdFxHOp8wBExNKImBQRUyj+nz6JiKRHCxGxD9glaXr50lxga8JIlZ3AHEljy/dyLnnd5LgWWFQ+XgS8nzALUHwCiOLSw4KI+Cd1nhZk1x059ga4O9rg3mhTp3qjVoNMeZPQw8DHFD8w70TElrSpgOII5j6KI5fvyq/bU4fK1CPASkmbgGuApxPnoTzKWw1sBL6n+L1Isry3pFXA58B0SbslPQgsA26VtJ3iKHBZBpleBC4A1pc/7690M1O7Mu0O90Z7suoO98aIMnWkN7xFgZmZmdVWrc7ImJmZmQ3nQcbMzMxqy4OMmZmZ1ZYHGTMzM6stDzJmZmZWWx5kzMzMrLY8yJiZmVlt/QuuaVdVrYem3AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "parameters = {\n", " 'epsilon': 0.5,\n", " 'tau': 2,\n", " 'sigma': 2,\n", " 'kappa': 0\n", "}\n", "tctc_df_shorttau = tctc(data, **parameters, output='df')\n", "fig, ax = community_plot(tctc_df_shorttau, data)\n", "\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "parameters = {\n", " 'epsilon': 0.5,\n", " 'tau': 5,\n", " 'sigma': 2,\n", " 'kappa': 0\n", "}\n", "tctc_df_longtau = tctc(data, **parameters, output='df')\n", "fig, ax = community_plot(tctc_df_longtau, data)\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Changing $\\sigma$\n", "\n", "If we make $\\sigma$ larger, it requires that more nodes are part of the trajectory.\n", "\n", "Smaller values of $\\sigma$ will result in possible noiser connections. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "parameters = {\n", " 'epsilon': 0.5,\n", " 'tau': 3,\n", " 'sigma': 3,\n", " 'kappa': 0\n", "}\n", "tctc_df_longsigma = tctc(data, **parameters, output='df')\n", "fig, ax = community_plot(tctc_df_longsigma, data)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Changing $\\kappa$\n", "\n", "If we make $\\kappa$ larger, it allows for that many number of \"noisey\" time-points to exist to see if the trajectory continues.\n", "\n", "In the data we have been looking at, node 0 and 1 are close to each other except for time-point 7 and 10. If we let $\\kappa$ be 1, if will ignore these time-points and allow the trajectory to continue. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "parameters = {\n", " 'epsilon': 0.5,\n", " 'tau': 3,\n", " 'sigma': 2,\n", " 'kappa': 1\n", "}\n", "tctc_df_withkappa = tctc(data, **parameters, output='df')\n", "fig, ax = community_plot(tctc_df_withkappa, data)\n" ] } ], "metadata": { "file_extension": ".py", "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": "3.6.8" }, "mimetype": "text/x-python", "name": "python", "npconvert_exporter": "python", "pygments_lexer": "ipython3", "version": 3 }, "nbformat": 4, "nbformat_minor": 2 }