{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Autoregressive Moving Average (ARMA): Sunspots data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.graphics.api import qqplot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sunspots Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "::\n",
      "\n",
      "    Number of Observations - 309 (Annual 1700 - 2008)\n",
      "    Number of Variables - 1\n",
      "    Variable name definitions::\n",
      "\n",
      "        SUNACTIVITY - Number of sunspots for each year\n",
      "\n",
      "    The data file contains a 'YEAR' variable that is not returned by load.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(sm.datasets.sunspots.NOTE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "dta = sm.datasets.sunspots.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dta.index = pd.Index(sm.tsa.datetools.dates_from_range('1700', '2008'))\n",
    "del dta[\"YEAR\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hTAghhBBSgCwrhZqENzzAVgplI3l6l4UxIYQQQsjSk2WlGHmM22Gl+L3PPIAPffERrSOslY3k6ZYrxtaiT4AQQgghpA14WVaK6GOvJYrxf/vyt/D4xT6++OA5vOtfvhjrXbv2Mf1AKcbD2sdaJFSMCSnAn516DF95aHPRp0EIIWSBuDOa79pipfACiWce6+Fv/vEMfvmPT2k5plLL2+4xpmJMSAH+79u+ieuecRjff83Gok+FEELIgnAzRkLbRrusFH4g8cPPO4GtPQ+nHn1ayzG9JSmMqRgTUgDPl+hz1CchhBxoRpPv0q0Ubckx9gIJyzBwbNXBBU3WBy9g8x0hBwYvCLDHwpgQQg40qvibUoxVjnFLCmM/kDANgSMrNi71PS3nrRTjrb7b6ul3LIwJKYAfUDEmhJCDjuuFBZ81qRgbymPcjoLQ9QNYhsDRFQeAniQJtWiQErjUb69qzMKYkAK4vkTfbYcSQAghZD64UfHnTCrGLbNSJBVjQE+SRHLqX5vtFCyMCSkAFWNCCGkfX3/0abz11ru0be2ryXZWi60UUsrIYyxwJFKML2goZL2EWt7mLOOZhbEQ4g+EEGeEEPckHnuHEOIxIcSp6L8fT3zu14QQDwghviGE+LF5nTgh+4kXBCyMCSGkZXzl4U18+uuP49z2QMvxlCo62XxnGeHHbbBSqDWCZRo4GinGF3bqK8ZJtbzNWcZFFONbALw65fF3SylPRv/9JQAIIV4A4EYA10bf85+EEKaukyVkUXi+ZPMdIYS0DN3ZusOMkdBCCNimaIWVQnmBTc0e46Qq3+bItpmFsZTycwDOFzzeTwD4iJRyIKV8GMADAL6vxvkRsnDUthM9xoQQ0i5UsabL8+pl5Birx5TVosmo38HS7DF2D0phnMNbhBB3R1aLo9FjVwB4NPE1p6PHphBC/IIQ4g4hxB1nz56tcRqEzBf1Xu97vta58oQQQuaL8vzqKtRcP4AQodo6iW0aYw1oTUWdo2kIrHUsWIbQ5DFOWikOXmH8PgDPBnASwBMAfid6fPqVAqS+SqSU75dSXi+lvP7EiRMVT4OQ+aO2xqQEBi1QAwghhIS4sWKsx/Pq+jJVLQbCwrgNI6GVim4ZAkKEDXg6nh91XCEOYGEspXxKSulLKQMAH8DILnEawDMTX3olgMfrnSIhiyXpmxrQTkEIIa1BXb91KsZ2iloMhA15rbBSBOPJGkdXbFzYqf/8KD/3sRUHT+8td/PdFEKIyxMfvg6ASqz4FIAbhRAdIcTVAJ4L4Kv1TpGQxZLcGmMDHiGEtAdXs5XC8wPYVrZi3Ibmu6RiDABHVmwtY6GVlWJjzcHFFivG1qwvEELcCuAGAMeFEKcB/AaAG4QQJxHaJB4B8G8BQEp5rxDiowDuA+AB+EUpJSsJ0mqSvilGthFCSHvQrRgPfQnLyCqMxVgDWlNRzXdmXBg7+Pbmbv3jRr/7xmqn1TnGMwtjKeVNKQ9/MOfrbwZwc52TIqRJJK0UfY+FMSGEtAW1va/L8+r6ARwzy0rRklQKpRhHv8fRFRt3n9Yx+S4II+BWbXzzqe3ax1sUnHxHyAzGrBRDFsaEENIW/EC/lWJy6p2iPVYKlWOsPMYOLuy6tVOXPD8cM3245xy85jtCDhLJMZfMMiaEkPagrt+6tvbDVIrs5rs2xbXZCSvF0Atq99B4gYQdZSNf3Bu2Nt6UhTEhM1AdvAA9xoQQ0iZUEbilM5UiL66tDVaKCY9xPBa6psqr1PQjPRuuL7E79PHZb57F3z9SdEZcM2BhTMgMxjzGLIwJIaQ1KGFDX45xfmHcDivFuMf4SDQW+sJOvefIDSQsQ+BwLyy0N7eH+N//+BTe+z8eqHXc/YaFMSEzcH023xFCSBtR6ujFPReBBpuDF+RbKZL3i6biTXiMR2Oh6ynGvi9hmaMx0//9nidwfmfYChU9CQtjQmbgjzXftesNTgghBxllpQgksD30ah9v6LW/+U4tFqzYShEpxjVVdTcIYBkGDvfC4334q98Of17Q/OckCQtjQmZAjzEhhLSTZDOcjqETXiDhZBXGVjsKYyX2THqM69pNvAnF+FtRNnIbVPQkLIwJmQEn3xFCSDtJDmjSEdnm+kHszZ3ENtpipYhSKSY8xrWtFJHHWBXGANCzTSrGhCwbybi2AQtjQghpDV4gY2VUT2Esl6b5TnmMHcvAqmPWTqVQjYmq+e5Q18IPXHMMrtf8xUISFsaEzGB88l3zL3qEEEJCPD+IPbQ6hk6ExV+GYmwZrVCMVfGuPMZAqBrXtlJEi5CebWKtY+HHrr0Mqx0LLhVjQpaL5DYQJ98RQkh78AOJ42thYaxDMfby4toM0TLFeFQYH121azffeYGEZRoQQuDDP//9+D//l++GbRpju65twFr0CRDSdMYn37EwJoSQtuD6EhtRYfz0Xv0sY9eXYwVlkrZYKZTHeEwx7jlaBnyoaXovuvJI/DO8FjwnSagYEzIDNt8RQkg78QOJtY4FxzS0KMaBlGMFZRLbaoc6OhrwMSoBj6zYWlIpJhcNlmlg2ILnJAkLY0Jm4CdW1323XStfQgg5yLhBmDt8eMXWEtfmBxKGyFaMh34AKZtdCKYpxkdXNCjGwbTNxDYFUykIWTbUm3qta2HAyXeEENIa/EDCjsYU61KMjSzFOHrc0zBhb5748eS70e9xuGdjq+/WKupDj/H4c9NGjzELY0JmoN7Uax2LzXeEENIiwu19A0d6tpZUikACGXUxbCssqZruM3b9acW455iQEhjUSF5y/WmbiWW2oyExCQtjQmagrBRrHQt9KsaETPHprz+Orzy0uejTIGQKFa+mSzH2Awkzx0oR/sxmK6RpqRQrjgkA2K0h/vjRSOgktmE0XkGfhIUxITNQGYxUjA8uQy/A9sBb9Gk0lnff9k38ly88sujTIGQKP8rWPbwyfyuFE9kImq6QjjzGoxJQFcZ1GszVSOgklingBxJBi4pjFsaEzCBWjLsWm+8OKO/9zAN43e99YdGn0Vi8QHI3hTSS5DQ2LYVxTvOdZbbDSqE8xskitueE6b17w+oCgBsEU1aKWEVvUQMeC2NCZqA8xqsdNt8dVL61uYMnLvYXfRqNxQ8kd1NII/GD0Pd6pOdge+DVLloDidwcYwCNH4HspVkpbA1WCl+ORcABiKcEtqkBj4UxITNQqRSHaKU4sGztuVwU5eD6AYffkEbiBhKmKXC4FyqiWzVVY19KZAjGcRHYdHXUS2m+0+ExdgM5NS5b2TVYGBOyRHhjzXfNz6gk+tnqe3D9dvnk9hM/kLQZkUYSxrUZOLKipt/VK4yDnOY7pyVWijTFuKs8xjUKY88PptT0tiwWkrAwJmQGvj/yGPuBbHzHMdGPUpmGDb/hLQovkJwKSRqHlDJuvjuyYgMAHj67U+uYgcweCW21xErhB2EBK4RexdgL5FQqRVt810lYGBMyAzehGANgk9EBZKsfFsZ1Mj6XmVAx5vuCNAuljNqmwPdfvYHvOraC3/6L+yqrolJKBBJjBWWStqijXjCdN7xih/e33RrNd56fZqWgx5iQpcOPOm07UXMCC4CDx9ZeeLOgzzgdLwioGJPGoYox0zDQc0z8+596IR7Z3MW7b/9mpeMpF91MK0XDF9B+yiCOno64tiCAOaEYOy0ZepKEhTEhM/CirbieKoyH7XmDk/oMvVHRN6CPNhUqxqSJqMZppWL+4HOO46bveyb+8989hHsfv1j6eH5UGWdNvrNaMuBD3dOS6LJSZDbftag/g4UxITPwotV11w7fLrRSHCwu9UfNOvQYp+NF3nuPzw9pECPFeFSsvfVHnotAAnd+60Lp46lM+6wBH3ZrBnwEU7FqvZpxbX4gISVSPMbhczJsuIqehIUxITPwgzCbUV04GNl2sNjqjzx3VIynCaIbIgD0W3TzI8tPPOEtUQSuRoMsqqi66nWeNeDDbkmjmZ+iGBuR+FN1wIeXMjQESOQYUzEmZHnwIo9xlx7jA0ky95Qe42mSjUZcNJImERdriSLQigdOlC9elZXCzKicRn7aZheBni9hp6jeK45V2WOclo0cfqxyjJu9WEjCwpiQGXh+uLoeWSna8wYn9dlKWin4t5/CTyhBXDSSJpFWrFk1FMwg9hhnxLUZ7bBS+NHQk0l6tlnZShE/11OT79qxWEjCwpiQGYQNBUasGOtQxZp+4SQjVCIFwLi2NDwWxqShjKwUoyLQNqrbHdSAn1lWiqb3IqTlDQNhA17V+1uaOg8krRTNfk6SsDAmZAbKj6UK47rb6fc8dhHX/sZf45N3Pabj9MicuUTFOBffTxbGfH5Ic/DjYm1U6hiGgGmIaoWximvLaL5TVoqmZ/Z6wfSEOiAsjCsrximLkPDjdviuk7AwJmQGrh96jHU13z1xsY+hF+BX/uTr+Kt7ntRximSOJK0UVIynSSrGzDImTcLN9L2KSsVrnEqREdfWluY7LyXHGAizjKve39TvbE+mUsT2kmYvFpKwMCZkBpOKcd3tYnUBuWy9i7fe+jXc81j5PE2yf4xbKVj4TeKzMCYNxU9JpQDCArZKoRZ7jDNHQrfIY5zRfLfrVkulUM/15HHboqInYWFMyAy8KK5NNd/t1dwuVhfNd/3LF8H1Jb7y8Pna50jmB5vv8kl6B+kxJk1CXWvTfK/VrBRR8Tdr8l3Di0B1T5ukV8NKEavzWSOh6TEmZHnwIitF19KlGIcXkCuO9GAaAud3BrXPkcyPrT0Xa50w+5RWimmYSkGaip/je61SqPkFm+/aoBinWSlW7PrNdzZTKQhZftT4TMMQcCyj9uQ7lefoWAaOrjg4vzPUcZpkTmz1PZw41AFAK0UayRsec4xJk3BTJt8BgG2IegM+MqwUpiEgRPMLY9efQ/NdxnPdFntJEhbGhMzAT8x/79km+jVv/qPtPQPHVm1sbrMwbjJbey6OrzkAaKVIg4oxaSrqtTmpYlqmUW3Ax4zmO/Wzmh7XlqUY9xyrhmKsnmsO+CBk6fESjQpd26gdSaWUCtsUOLbq4MIuC+Mms9V3cWzVgRC0UqSR3JKu678nRCdqKuOUYmxWU4xjj3FOZeyYRuMbzbyM5ruebWLoB5WKWC8h+CRpi+86CQtjQmYQeozDt0rXNmt33sexNqaBjdUONmmlaDRbex4O92x0LIOKcQpUjElTUQXqZIRYmEpRvflOZHiMw2NXa+zbT/xoaNUkK07YR7Nb4X0c5xhnWCnYfEfIEuEHMn5z92yz9s0/GYR+bJUe46az1Xex3rXhmAYV4xQ4+Y40FT9DMbZMUWkktKp3s1IpwmNXK7r3k0zFOCqMq9gFs0ZCjzzGVIwJWRq8hB+rY5vo1yyOkkHox1YdPL3rtsp/dZBw/QC7Qx/rPRsd22TzXQrMMSZNJWlbS2IZ9RTjFLE1xjENDL1mF4F+EKSnUijFuEJhrGwrkwkgdUZwL4qZhbEQ4g+EEGeEEPckHnuXEOKfhBB3CyE+IYQ4Ej1+lRBiTwhxKvrv9+d58oTsB54/Wl33bENL851KudiImrou7Lozvossgkv9MOx+vWtRMc7A86kYk2aSNeDDqajqquPNslI03TaQvKclqVMY+xlTBg1DwBDLN+DjFgCvnnjsNgDXSSlfBOCbAH4t8bkHpZQno//erOc0CVkcXhDEF9aubWqIaxulXBxbDQtj2imaydZeuGAJFWMWxmmMK8Z8fkhzyBrwYZnVRkKruLY8K0VV//J+4uWkUgDAXoXpd2oxMNl8B0TPScMXC0lmFsZSys8BOD/x2P8npVTP3JcBXDmHcyOkESSjbbpWfY/x0A/i7SVVGG9yyEcjUVPv1rs2OpaJAQu/KZI3POYYkyaRN+DDreIxjkdCZ3+N1QorRfrku1pWigzbSvhY85M6kujwGP8bAP898fHVQoi7hBCfFUK8XMPxCVkobmLbybGM2k0Eni9hR/PjN1bDwRFUjJvJ1l5kpejZcKzm55MuAj9xQ6QHmzQJVfxO2gYcU8CtsPsza/KdOnbjrRQZHuOeXcNKkfFcA+HCpOkqepJahbEQ4u0APAD/LXroCQDfJaV8CYBfBvBhIcR6xvf+ghDiDiHEHWfPnq1zGoTMFT+QscJrm/Uju1x/dFGilaLZxLFr3FwAACAASURBVIpxz0LHMjCYk4f2v3zhYbzjU/fO5djzRnX3r3WqDwcgZB74iUbnJJZRbSS0lLML4zZYKfyMVAqlGFd5HydjSCcJmx0PgGIshHgjgNcA+NcyerVIKQdSys3o33cCeBDA89K+X0r5finl9VLK60+cOFH1NAiZO14gYZojxbiuauj6owzJIys2AHD6XUOJPcbdKMd4Tje8z99/Dn/7jTNzOfa8UUrRWtdiKgVpFGrRZk5ZKap5jPNU0eSx3YZbKVw/3WO8EnmMqyjGXoZtBYgaEhu+WEhSqTAWQrwawL8D8Fop5W7i8RNCCDP69zUAngvgIR0nSsiiSG47OabQohgrH5ZtGjjcs6kYN5Q4lSIa8DEvj/Ge69eeqLgolPK21rGZSkEaRTymOG3ARwXFWNmSZynGTbdchYrxdPnXiz3GVZrvshcNtmlUyo1eFEXi2m4F8CUAzxdCnBZC/CyA9wI4BOC2iVi2HwJwtxDi6wA+BuDNUsrzqQcmpCX4vow7bUOPcb2LXjLlAgA2OOSjsWz1XRgCWHXMsPluTh7aPddvrdoaK8Yds7XFPVlOlEqZOhK6gqobxFaK7K9xzGo2jf0kvAfptVJ4GbYVoH0eY2vWF0gpb0p5+IMZX/txAB+ve1KENAkvMflOj8d4fBznsVWHqRQNZWvPxaGuDSHEXJvv9oZ+a9XWpMe4rb8DWU6yxxRXK15HAz5meIwbbqXwM+LabNOAbYpqI6H9HCtFxYEqi4KT7/aRc9sDnNnqL/o0SEm8IBhLpfACiaDGtlDSSgGEhfGFHQ74aCJbfQ/rvVA/mLeVYuAFcXNPm1CK8WqHHmPSLDxfwhDhkIkktiEqNYMVGfDRBnU0K8cYCJMpKinG8SIkXTE+aHFtpCBv/8Q/4Jc/+vVFnwYpiRdI2MZIMQZQSzn0JhTjjTUHm7RSNJKtPRfr3bBBsmPNb8CHuhG1cYCI2kI9FDXftbG4J8uJl5HXa1VMjiiiGDsN9xj7gYSUSPUYA2EDXh0rRZpiXDU3elGwMN5HLuy6eIqKcasIJi4iHat+YTz0xzMkj606uLA7rKVCk/lwqe9hrRMqxo5V30aThVJa2xh3lrRSSFnvvUGITjw/Pa+36sAJ5b6YNfmuyepoPKEupYAFQp9xFSuFm2FbAaJs5xZdF1gY7yOuH2B7UL7bkywOd+IiopTeKuHwCs8P4FhJj3EHfiDjzFzSHNxg9LeaZ/Od8ubWHTe+CEbNd6Gy3h+25wZIlpssy4BtikqpFGryXU5dDNtqtpViVuRczzGxVyGVwo8sh2k2E4seY5KF6wfY7rMwbhP+xCrY0aAYT2ZIbsRjoWmnaBrJJhXHMhBIaFc+XD+I/Y5tTHWIFeNuqKzTZ0yawmQCkMIyDEg5ur4XRRawUlhGs60UWQ2Jip5tVssxzshGBpTvurkq+iQsjPcR15PYHnrcMm8Rk9mMI8W4bvPd6K13lNPvGovnyykbjW4fcLKQbGOqgyouDkWWkzb+DmQ5yUxfsMLHyqqY6stzR0JbzbZSqBHumYWxU60wnkxbSmJrjLC757GLc+9jYGG8j7h+AClRyb9DFoPnZynG1f+Gk4VxrBhz+l3jSN5Y51UY94ftLozVe2S1Q8WYNIusCW8qa7dsYTxqvsv+GrvhqRSjaYBZzXfVUin8RHrTJLamVIp/enILr/ndz+OLD27WPlYeLIz3EbW9QjtFexg1KkQDPiKv8bCGYpzMRQbC5juAinET8YIgMQ48DL/X3YCXLCTbWFT6QQAhgJVO+Py0sbgny4mfmUoRvqfLFmtB7DHOt1LUjfScJ/E9LaOIXXEs7LrlaxQ3kGMxpEmqpoBMosSjB89u1z5WHiyM9xF1Q90esMmqLczFY+wFUwM+AOA8h3w0Di9VMdZb+CWL4XnlJM8T9Rz17GhqFgtj0hDcjFQKVSyXbcCLG9dmWCmqHHu/UIuB/Oa7anFtaRnGQPXc6EnUeT12Ya/2sfJgYbyPqBXTJSrGrWHyIhJ7jOsUxhMr665tYsUxcZ5DPhpH6DGOCmM7WhRpVox3W26l8IPwOeraVIxJs/B8mRpLpnb+yhZrSgTOn3xXTY3eL1Rxn6XurlRtvgtk5vNimYaWpmW16D79NAvjpUG9CVkYt4e4g1dtp5v1iyNvwmMMRKHqLCgax1gqhbkPHuMWxrWFPk4jVozbmKxBlpOwWEtPpQDKJ8woe0RuXJsG8WSejBrKczzGFQb1hIOrsj3GOgZ8qHskFeMlIvYYM8u4NfixHyt8q9ja4trG33pd26DS1kCSk7M6UeE3TytFG4tK1XTTjRT1Ng4pIcuJFwSpxZpVWTEuENemYTrqPJm0B07Sc8JBPWWvRVnReIAaelL/+VD3yMeoGC8HUsp4Bcnmu/bgTqZSaFCMXT+I44IUPdtkYdxA/CCYu2I81nzXwqLSi6xB9BiTpuFnbO9XVXXVgI/cuLaKRfd+oX7nrOJ+xan2Ps7NMTb0RNgpi8fZS4O53i9ZGO8Taj45AFyiYtwaJqcExY0VtRTjII4LUnRtkwVFA0n65pTHWHdhvNtyK0XsMXboMSbNIu1aC4wK49KpFMHswnh07LYqxuH7eLfk9LvJtKUktim0KOhJ4eDxOarGLIz3ieTqkYpxe/DiRgUV11ZPMfYDiUBiymNMxbiZpOYYa7Y79FtupQhTKQx0LRbGpFn4GcVabKUomRyhbLI5TooWeYzTf4luxV4BNyeVwjJF/HPrkLy2zNNOwcJ4n0iulhjX1h6UxzhOpaipGKvvm7xYd2wDey0sipadtMl3ur2DSRVk0MKiUinGtilgGqKVxT1ZTlw/w0phVFOMJ3cQ07A1ZN3PE39C7JlEWUHKTqrLmjIIhFaKcNe83nOS3FWdZwMeC+N9wh0rjKkYtwXdHuORAj3tMW5jUbTseAmPcSdSRHX/ndTF/lC3nckkKsdYiNBn3MbfgSweKSU++vePat1x8IP0McV27AOuNvnOyC2Mo6K7qTnGQb7HWKm+bsnCPisaD0haEGsWxkMf33GoA9MQVIyXgeQbkHFt7SH2Y01aKSq+wd2ooJ68WNNj3DyCyPZiTlgp5qEYdywDq47VShtCchRs1zb4OiaV+KcnL+FXP343PnnXY9qO6frpY4qtinaHoEDzXeOtFH6+x7iqzcQNpmNI42Ma1RYik+y6Pta6Fi5b71IxXgaSqy8qxu1h0o8VT76rqBi7EyOmFfQYNw/VgW6b43973R7jPddHzzGjyL5m3kzzSG5Xd/k6JhVRTah3fftpbcf0M8YUVx3CEQ/4yBsJ3RIrRZZirMQft+Q9LisBBBjd7+omU/SHPnq2iSuO9OY65IOF8T4x5jGmYtwaVGexWvFW3YIbHS+8MDgTF+uubbQyqmuZGd1AlMdY5RjrV4x7ttnaojLZ4NTW34EsHiU23PXoBW3HnDngo+JI6LwBH07TFeM4lSKrUc4Y+7qipOXzK+yKKvQke25UGB/tUTFeBtSbRAgqxm1icvKdZRowRA3FOC60J6wUjom+5oKL1GN0A9GzW5CFuth37Ha+BlQqBRDufHCBR6qgBufcf2Ybl/p6GtS9IICdomI6UY58WUtcUKj5rtke43hoVU60GlDeMhZOdM33LddVjNXu2hVHenhyqz+3SDwWxvuEupkeXXHoMW4Rfsrq2jaNGqkU0fa8NVEYWyaGXhD/PLJ4fH/8JmgaApYhtE++6ysrhWWMjYduC8khKKElqJkFAWk2aidGSuDu0xe1HNPLSKWoPBK6lJWime+DyQX/JFUznvOsFHV3WhVqd+3Koz34gcSTW/1ax8uChfE+oV4QR1dsKsYtIm1KkGMZlbfT1fEmVQwVqq676CLVcVOUlU6Nv30Wu9HFvueYrRzwkSw+Omy+IxVJFpJ3fVuPnSI50j2JVdFjrPoO8qwUdkUrwn4xy2NcdUBJXvOdrobEWDE+2gMwv8g2Fsb7hNqWOLbqYHvg1c7zS+Pexy/i4XM72o97kPFT4tWcGoqxuhBPpVJECjK3oZtD2g3EsYz5WCkcE12rnf7cpMeYTaSkKmrBueKY2hrwPD9IVUZH6ULl3stSShgCEHmKsVGt6N4vRhGk2cM4gCpWipwc4zgbuX5cm2q+A+Y35IOF8T6hXoxHVxz4gZyLqvLvPn43bv6L+7Qf9yCTNiWoTnE0zBjwoRTjNnpMl5W0LceOZWpX9feGPrp2e1Mpkg1Ox1YdbO4MF3xGpI2o99X3POso7nr0aS3iUdaYYquiKuoHMjeqDUg29jWzMI6HVmV5jCv6gfNGQsfZyBoU465t4hlHehAC+Pb53VrHy4KF8T6hok+OrToA5pNMcanv4fQcOzUPIl7K6rqOx1hdiNNyjAEqxk3CT/nbd2z9inHf9bHitDyVIlo8XHa4i3Pbg8b6K0lzUTGIP3DNBs7vDPHo+fr3siwVs6qCGcj84R5jx254KkVaUyIA2FY1P7CXMxK6ajzeJMlr5TMO9/DInHbIWRjvE7HHOCqML83BZ9x3fTw1JzP6QSWtg9exjMpDHtwsK0U8n759hdGy4qX97c35eYzbOuQlOUTh8sNdSAmcucTrECmHuqb+wDUbAPTEtvkZHmM7VjDLFsahlSIPXbaBeTHLYxyruyXPP08x1pHU4foBXF+iF90rrzmxOjfrKAvjfSL2GK/MTzHuuwEu7Lps4NJI2na6bRqVw9vTGroAFsZNJO0G0rH1F8Zqe7Brm9qHh+wHScX4O9e7AIAnL7IwJuVQr/0XXnEYQgAPntmufUw3SPcYV01J8AOZm0gBVE+82C/SdkGTVB3wUcRjXGfoiRINlO3wmuOreOjczlz6tVgY7xOxx1hZKeakGAPAma2B9mMfVDw/w2Nce8DH9OQ7AK30mC4raYsix5yPlUJNvhv67YvsS6pylx8Om2KeYGFMSjLwfFiGgGMZWLFNbA/qiQRBICFlegFoGtXsDoGUxa0UDX0fezM8xqPzL1kYB0GqOg/oUYxVlKUSka4+vopLfQ/ntvX3NLAw3ifUynRDWSk0K8ZSyljJmle230Ek9mMl3vCOKUqvphVuRvNd145SKagYN4bRoijhMdbcfJfcHlQX/Lbt+HgTHmOAijEpz9AL0InSeVY7FnZqikdZu3NAmCphm6K0XSAo1HzX9MK4WI5xWZuJF8hM37KOpI5YMVaF8Yk1AJiLnYKF8T4x6THWrRgnt3d5U9JH3MGrSTF2M5rverRSNI7YYzxHK4X6e69EAz7Cx9q1a5AM9l/vWlhxTC7OSWkGXhBPl1zrWNge1rtH+jMKQMswSgscgcyfeqeOCzTXSjE5uGiSKjYTP1Ln08Zvh8esn0qRZqUAgIfP1bfcTMLCeJ9Q268jj7GekZeKpDeRDXj6GGU+jnuMa0++mxwJrVIpWBg3htQcY81Wir3E9qC64LftNeAlfJxCCFx2uMvFOSnNwPPRscL3gBbFuEABWFbV9Ys037VcMRZCwDREKXU3aydUoWPoibpWquvkM4704FgGHpqDYmxpPyJJZeQxtgHoV4yTE7NYGOtDqWHJQPc6xVEc12alN98NWlYULTPxDSQ5+c42tSrGye1B9XPatmswOQr28sNdPHGRsZGkHAMvQMdWVgqzdmGcFY2pqCJwFLFSGIaAIZo74CPtnjaJbYrSirH6vjSsis2OSSatFKYhcNXGCh46SytFaxnGU30sdCxDe1xb8mb6JJvv4PkBHtUQ/u2lzH+3NVgpJhtC6DFuHqOt2KTHWLNinNgeVGpZ2wrjpMcYAC5b71ExJqVJeozXOlbt5ruZsWRmOVUUUHFtMyRjhANEmqoYu0Ew0w5iG0Ypj3FaP8bk8YDyvuUksWIcFcZA2IBHj3GLUVmfpiFwqGtpj2tL+hKf4k0Jn777cfzo73wWZy/VWySkjRTt1FCMRznGWXFtzfSlHUSyph7qbI5Lbg+qxVHbXgOeL8duiJcd7uCpS4PWpWuQxZL0GOtpvstXMasoxn4w22MMhDaFuh7j9/6P+/HmP7wTt933VO2JcUn8nFg1hW2Ve25Uo+MsxbjOczLpMQaAq4+v4VubO9qvNSyM9wnXD+IXTbgano9ivNax8BTD9XHu0hBDP8Ddp5+udZxUxbiWxzh9e882DViGoGLcIPy05jvL0Jo1nFRB2pplHcY0JRTjwz34gcS5be5ckeLo9hj7s1RM0yidSiGlRMbhxrCM8v7lSf70rsfwV/c+iZ//r3fgx/7j5/DY03rsSWn3tEnC8y9vpciefFdtaEiSNMX4muOrcH2JxzRP/GVhvE8M/SB+cax1Le1xbepm+qyNFTx5sT+X0Os2oVS9ex7bqnUcP5BTRaxTYzs9zbeq6LV0JPCykta841gGBhrVm6Rvrq3JJFMe42jIB7OMSRkG7qSVQk9cW6aKWUHV9UtZKepdJza3h7jp+74L7/vX/xPOXhrgX/3+l7SMQE67p01SdojVyCI4I+mihg2tn6IYX3MiTKZ4UHMyBQvjfcL1g3iow1pnDlaK6AX3rI0VDLwAF/f0pl60DVW4/sNjF2sdx0vxY4WKcbWFhzqvyVQKIGzsaltRtMz4ac13lomhF2hbeCa3B9tqp5nMLx1lGbMBjxRn6CdyjB0LAy+otfU+S8W0KlzHA4mZk+/Cn1nev5xkGN3DL1vv4l+88HLc+vM/gD3Xx09/4Mu1bRVFFOMwsaP4z4mn6WVaKeoP+JhsvgNCjzEAPKy5AY+F8T7heqNV2qGuPbfmu2dthC+Ug54jqlS9ex+vWRin+LHqKcZhoZ02PannGK0ripaZtFgjdePWlUwxbqVQHuP2LI7UdLHkdvXlh6kYN4W/u/8s/uSORxd9GoUYuEmPcVj87AyrvxdUAZlVBDolkxeA8PVeoC6GXbP57sJuOM1tYy2Md73uisN4yyueg8cv9rFVU/TyM8ZkJ7FMo1RhP9oJzViEGCqVovpzsjsx+Q4Ajq06WO9a2hvwWBjvE64fxBFdhzoWtgd6FV11M71qYwUAh3woH+gTF/u1vI7huNuJwtgUGPrVVEPPl5lbe13LjAslsnhGHuPxVAoAlVNJJklVjFs0+S7NGnRs1YFjGgf+GtQEPvyVb+O9n3lg0adRiKTHeK0TJsnW8RnPjhArb3eYtA1lYdZsvlNN48fXOvFjykJQ99oTNsvOUozLJS+lDUOaPJ762VXZc304ljF27kIIHFt1sKV5LgQL431i3h5jVQh+17FQMT5zwCPbkm/qe2rYKcIoqmmPMVBt9Tv0g1QbBRBe+NpUFC07XorHuGPpVXXTmu/atDhKi8RSQz6oGC8e1w9ipa3pTI6EBuoVxrMGfFiGqGClKOoxLj9uOsnmTqgYH48UYwCxFbNuXORkvGIatlmusPdSBmElMVW2cw0rRX/oj9koFHV2cLNgYbxPJD3GPUe/MqgKqu9SivFBt1K4Ada74cW1XmE87TEeFcbl34yeL2Fb6W87KsbNIs1jfKgbDejRtLBVinE3YaXQOUBk3mQpRZetdw/8NagJDH3ZmmvKeFxbWADVacAbKcYaB3wULYwNEadiVGEz2uXcSCjG6rmpWwSGu6Czm+9K5RjPeK6BUKGvo3bvuemFsa15GinAwnjfcP2Rx7hrhdOzdCZHKMV4vWvh2Kpz4G9KQz/AxloHV22s1EqmSPMY2zVW7m5KLrKi65hxEyVZPGk5xoeixdaWxsJYbQ86pgEh2uUxTlPVAXAsdEPw/AA7Q68VKUUDLxjFtTlKMa7+XvBmeIztSgM+iuYY10ul2Nwe9xgDo8K47sLZK+IxNsr5r2c91wBg12xI3HMDrDgZirHGpCCgQGEshPgDIcQZIcQ9iceOCSFuE0LcH/3/aOJzvyaEeEAI8Q0hxI9pPdsW4/qj1XA8/ldjEdRPKE/fud498EM+hp4PxzRw3RWHcU+NBrxUj3ENxTi5QJqkaxnot0TdOQh4/rTHWCnGlzR52vpDP77YCyHQtdqVTJLWoAiEDXiMjVw8rh9AynbsQgw8PzESOiyM6yjGXgGPcfkBHxIF6uIo1aH6a//czgCOaeBQ9DwACcW4ZhFYxCddVk13Z6RShJ8z6g34GHpjjXcKZ0GK8S0AXj3x2P8B4G+klM8F8DfRxxBCvADAjQCujb7nPwkhpn+TA8jQGw340O1TBEIrhWkI2KaBy9Y7B37Ix8AL0LHDwvj0hT1ciDxbZXEDORUQrwrbKjeb5KCXSegxbhZ5irGuHoHdCd9c125XMsnIYzz+Hlnv2Rj6gXYlh5RjGBUsdYdlzJsgkHB9OZZjDNQ7b6XYZg/4KF+8BlKmJgpNYtZURze3h9hYcyASto2OJo+xW2TyXcnnZpZtRR2z1oAP1x/LMFY4Jaf0FWFmYSyl/ByA8xMP/wSAD0X//hCAn0w8/hEp5UBK+TCABwB8n6ZzbTVuovluHnmlfTdAN7qoHFvt4MIOc4wd08ALLl8HAHzjqUuVjuMHwVhGKzBa2FTyGAdBpr+LHuNm4aeooes9vYrxpG+uZ5utmn4Ye4ynklva55deRtRAhaY34KkFlDPZfDesURjPaAibq8e4xnRUIPQYJ20UgF6P8czJdyU9xm5QwEpRWzHOaL6r6V1Oo6rH+DullE8AQPT/74gevwJAMjTxdPTYgWeYaL6bR15p3/XjgjtUnZp9IZw3w6iR49hqeHGpmv2YFm0Te4wrvBmHXraVoue0axt92UmLIos9xnt6FLjk+xYIF81teg2kLR4AxFviurc4STnUwqXphbHqkZmMa9NhpcgcOmGUy+oFoqKyaPNdzVSKjdXO2GO6CuPQY5xf+jklC/tZixAgSuqo6TFOs1K0ofku7VlJfSaEEL8ghLhDCHHH2bNnNZ9G80gO+JhHXmk/8aLhaGHVyGHEhUzVC6yXmmMcKcYlRmaOjpdtpQiLIhYSTSFtctaaY0EIvYpxsqGk07LXQJrdBNA/CIVUQxUiuzWU1/1g4If3q441Eo8MUddKkT/5zq4y4EMCM2rK8GeaRi3bwLlLg7EMY0CvxzjPCwyERWwZdXfWlEEgnPZaR0XvT1wrFaGVQm8vQ9XC+CkhxOUAEP3/TPT4aQDPTHzdlQAeTzuAlPL9UsrrpZTXnzhxouJptIdwwMekYqzRSpFoXOhG27EHufFFKcZ1lYe0HGM7vkCVX3x4ec13drglVEdpIPpQN9ZkzWcYAmsdS1sqxe5w3DfXtQ0MWuQzz7oh6lK3SD2GLbFSjBTj8HUjhMBqx9KSSpGlYlpVPMZBMSuFbYh4QFBZpJQ4tzMcyzAG9OYYF2u+K+8xzm++q5lK0YIc408BeGP07zcC+LPE4zcKITpCiKsBPBfAV+ud4nIwTDRddS3lMdZ3sRq4fnzcnmMikPXGL7adgefDsUys1WyWShufObpAVRvwkXWh7tn6XxekOupvLyZuhOtdW9ukpb3hhJWiZT7zrLg2tSXepiJ/GWmNlcIb9xgDoZ1inlYK2zRiD3ZRAllm8l21++/2wMPQCzI9xnXfU2kRpJOUVdO9Ah7juhF2u0MvtfnONg3tO1NF4tpuBfAlAM8XQpwWQvwsgH8P4J8LIe4H8M+jjyGlvBfARwHcB+CvAPyilLLZ78h9IjngozOHAii0UkTHj95AbWri0Y2aotSxTDimUV0xTvEYO9Fo7ypbWl4itm+SLgvjRpGlrBzSOLly4I375tqWTJI14EOXukXq0RorhaesFKP3QqgY62i+yxnwUXYktMTUQjnr2FXj2uIM47l5jKeTliaxStoe4nSanOfGtow4JaUK/QyPcWcOqRTWrC+QUt6U8akfzfj6mwHcXOeklpGxAR/zsFIkmnjUqmrg+kDURX/QGCYK0LWuVXlSmRdMWx8cM3x+y6oNQH5UjlKMD/KCpklkKSvrXVubx3jg+vFCFmhfXFvsMZ5Q5TotnOK3jLQmlSI6T/W6AcLCuN7ku/TEFIVVQdUNAokZ9lwASjGu9trf3FFT78YV446pZ/5B2i7oJGGCRPnJd7MHfFQ7dy+Kfmy6lYKUxPWm49p0bjP2vdENlgVW6FlLZmJWvcCmRdvYNRTjZGzfJJ05LJhIdbJijXQqxsOJHYS2DfjISqWgYtwM1DWq6TnGqtjrmEkrhVnrvN0CcW1eIEv14hSPa6uewHAuUozn1XyX1lA+iW2KUj8nmLPHWE2ETWu+K3uuRWBhvE8M/SAuqOLCWHeOcRzXxsJ4kFSMO9ULmbQRznEqhebCmB7jZhEmiEz/rQ51LW0e44E3slgBLUylyNiu7sxh8U/Ko5S8pvvWB2mKsWPVUrpHGdvZqRRAuV4cPyg24KNOXFvaOGhAb45xIcW4xPkXUowrWFcU6vXbTUulME34gdTatM7CeJ9w/SBeDatBHDq9hAPPH4trAw6u8iilDD3GZsJKMahWyKRF29SZfJe3WqfHuFlkKcbrPVufYuwFY1aKtkUtZnWjx3FtB/Qa1ASSxcJO0wtjd9pjrK35LjOVwoi+rvhrVMp8H23y2FUbzTa3QyuFyuBXmIaAaYj6HmO/gMfYDAv7oGCxWSSurYp1RaEK4ywrBVBNqMqChfE+4AcSgUTK5Ls5Nd9F/2+6SjAv1LaKUq3WasT+pDUq1Jl8l7TUTKK84QdZ6W8SWR5jZaWoG4copYzzthXzHs7z8TtP49f+9B+0HS+rG13Xti+pTvL6tNfw5rv4mp14L+hrvsv2GAMlFWMpC+UY20b5KDjFue0B1rvW2CJB0dHgp/UKeowBFFZ4Y8U4r/muxjRAdU9MK4yV8q+zn4GF8T6gXgwq/1a9+XU336k3Um8OA0TahLpwqC3qOsqDl2KlsGv4J91AZg/4sA620t80/EBONZUBwKGuDT+QtRua1A15zGNsm/ACWWt0ahYX91z85qfvxZ+dekzbMTMn31ExXjjJIqT5ivF0XNtKx6yXYzxje7+K0ljUY2xWmKqnCDOMO6mfc6z644+zrmtJ1D2q1u4qugAAIABJREFU6O+gGh3zjqulMHamS9Y6QlUWLIz3AfVCVgWVZRqwDKE5x3jaY9xv+MVwXgwnMjHXajRLpU6+q+H18vI8xg5j9ppE2nAXIEylAKpnYyvUdcGZUIyBUbOJTv7z3z2Erb6H3aGvrfDOKj7izFUqxgsjWdQ0ffcw9hgnrRSOhaEfVFZIlaiRFa+m3ttlCtjCAz4qTNVTbG4PpvzFCkfD+GMvkLBnKMbquSn6O6gvmzUSuqqKHnuMc6wUOht9WRjvAyMFc/Si0Tn+1w8khv7ISnHQFePRRTZ8Pg51anqMMxTjas136cUWMLoptMljusx4QZCZSgHUHws9ubMBzM9nfm57gA9+/uH4JlJHiUuS2XynBnzwtbwwxhXjhlsp4hzjcSsFUD1RI6tHQGHFzXcl8npLDPio03w3mWGs0BFN5hfwGNuxCltSMZ414KNqKkV0HVlxphOG6+zgZsHCeB9wJxRjIPISaipcVef3VCrF8GCqNVOKccdC3w0qFbJpjQpqm6mSlSKRTjKJ8hizMG4GeR5jALXHQsdDDZKT7+L3rt7XwP/72Qcx8AL8m//5agDQlqqR5THu0GO8cJLPfdNzjLMm3wGobINLzg5Iw65QGAcBCsa1lY+CU2zuDLMVY8uovQtTKK7NKPfcFPEYO1b1WLVdNt8tH240Ojj5Ju1ozCtVyrNKuzjoOcaTF1k1FrqK8hBGdo2/2YUQ4ZZWhdWv6wewM1brTKVoFmmJJEDoMQbqF5d5irHumLOvfftpXP+so3jxlYcBVC82JpmVY0yP8eJIqnPNn3yX3nwHVFe7/SDILQDtOJWibI7x7K9ThWUV1Xi778XXmEn0WCnSd8KSxM9NYcVYQgjkRtnVOff85jv9w4RYGO8Dscd4wkuo66ahCqlYMXaMsccPGsMJv5pSHsp6QoMoTSTtIlJlS2synWQStbA5qEp/08ganXq4V+31NMnkzgaQiHLUXFAOvQCrHSu+4eqKm4sjsSYKEMNQi0e+lheFUtAM0QbF2IdpiLHM4dVOeP2uaqVwZ+T1lvXRAmFhXMhKoZrXShbGUoa2SCejoNeTSjE7xzi2mRRMpSiSjVzHBrIX1zjT1+N5JOCwMN4H1Btv2mOsSzEeL4wd04AQB7gw9sPfW71h1NZ3WZXMl9nbQ1WaK9TXZ44oNQ3Ypjiw3vCmkXWxHxWX9RTjtO3jee0aDL1w52NNkz9akZdf6lj6Fv+kPKpQWO/Z2NXkKZ8Xk3neQNJKUe3c/Zx+DqB88gIQNpllNfONHbtC0Q2MCuks8aSuxzgIZJjFPKuILdlHM8vPDdRLpVC9CmkDPtS8ApeKcbtI9xib2gqg2EoRraaEEK0bFKATdTMejYQOC5nShXGshqXf9MteoEYXvewLSNc2G99BflCY1Xy3tVfXYzy9fTzymWtWjP0AjmVWXiRmkReJ1bEMTr5bIKpx6nDPboWVwpkojOs237kzLANVmqhDxXj215kVrRST0a6T1I1rm1V4K6ySVoqsBJ8kjhX6rosODUkSi38p2c42FeN2ktl8p8tKkdHEc2A9xhMxWEol2y65fZw3OanK6letaPMuSl3bZDHRELIU455twjKEvlSKMSvFfPoDhtHo6UMdPY2DCl/tgmiyGxF9qEi+sDBu9jVl4OYpxtVTKfJEiFEqRVmPcbG4trLHTn59pmJc02Ps5yxkk6jnpmix6Qezvdd1LA97rg9DpItKZdXtIrAw3geGKc13Xa3Nd9OrqZ7GOLi2kTbgAwAulVWMo4tUWkNBle5g5ddKU6AVPSrGjcH107cHhRDx9Ls6pE37inOMdRfGfqjIKRtI2UViFrFinHLDChXjg3kNagLDRGHsBbLRi5ShH0xNequrGHsZ71/FqPmuRFxbwRxjdY2vrBhnFPR1F5vxPaiglaK4Yhzk3teSx6xyTei7AXq2mWpjYY5xS3H9FGVIo9Uh3pJNGNM7tnFwFWNv3FpyqKJirDzGqWqYaZT2NMWTznKtFPp2Ekg98hpKDnVtjTnG03Ft8/AYdywDXdvQonYrslIpACrGiyZppQCanUwx8Pwpxbhu812YKJRd4qjXbBmPcRF/LjD6mqp9KNkeY7OWZUCJPTMV45Ln7wcFfMs1YtX6rp863ANgKkVrGTXfjReuuv6QgyzF+IAqj5MFx2hLrlwxkJXRClTzennxtvMMxfiALmiaRpj3mf63Wu9Zte0Iw4wFLaB/8t0w8nAKIWpNgpwk32NMW9AiUQv3UWHc3L/FwJ32GHcsE7YpKjffFVWMy1zHi1gGwmNX8xh7BawUdYbm5NkDk9gli1g/CAqr0FUWy/3EZN9JRiOhqw0PSYOF8T4wMtTPZ/LdZPNdfPwDelNSN2N1oV1xTAhRQTHOuelX8hiri15GYwVwsL3hTSPvYn+oU18xjl+niZtgPLVScxETRkCNdlC0Nd9lTL4DomgpxrUtDLWwb4diPO0xBkI7RXXFOHthC5TP6gUij3Ehxbi8TQNIRLvmWSnqKMY5DeVJ7JLjsr0CqRR1LA99zx8TEHQdNwsWxvvAMGUV2LHqrfySTMa1AQfbqzqc6PYXQmCtY5X2GHs5205VmiDiBVLOBWTFObh/t6aRd7HX4jHep7g2P5DwA5mYBFm/qB8dO4AQ2bsqjGtbHOq+c2Sl+YpxaPWZVgRXHavygA9vhoppxVnD5VIpCjXfxVaEqh7j9NKsrm8/bxc0iRLxdMa11Wm+6w/91EQKIDkSWt/rm4XxPuBONIMBuuPapgtjnYp020grOA51rNKKcZDjMbat8pPvZm2TAcBKp/qNgOglz2O83rOxtVfTY5zSe2CbBkxDb5a1ej/YCcVYp5Ui6zmiYrxYJq0UOw3OMh54/pSVAghtcHWa7/IKY6WKlhE4/EDmjj1WVI5rS2nUT1LXt5/XE5AkHn5S8PyLKMZ2HSuF58dRlpM4tFK0k2HKKrBrmXB9WWlk5CR9L81KYRzcHOOUfNi1CtvHef7JKoqxeh3kjSldOcBKf9MIPYrpl0idivHkFnLX0tuAOblQXNdYGOcpRVSMF8uklWLPbe6CO9tKYVYu6L2Mke4KpYqWGwmNgh7jao1mKjUi00oRTZOUslrd4BZsvovj5gre44KCk++AioqxG6ROvQNG58oc45aRFsGiM5YpO67tYBZYQy+AIcZ9VGud8oVxnsfYscpPvvNmbJMB9Tx1RC95W7GHuja2h16lsHpF2uQ7QG9iDQAMJiZBhrYiPVaKvGB/Nt8tFrWjtd4KxTgYy+FXrFa4bitmDZ2wYh9t8eIPSI/vnDp2xea7WVn3HcuAlOVHTSvyJlUmKRtlFyrG+cfs1Gq+y7ZS1ImBy4KF8T4Qb2XOyUvYd8PGmuQb9iA3canM1iRrXbu0SpYbRVXJYzzbStFzDu7frWn4gUzN5wVC1VXK8tnYSQYpFitA/3tXve46sZXC1pZjPEsxZlzb4lBF1pGeAwCN3olKGwkNRB7jylaKfI9x2SEcylpXxkqhfcBHzUYzL5i9a5n8fFG7YJ7tTFHn3Pdy4tqEEGF8KhXjdjHKr00J8tdw4+i70x2bB7nAGrj+VCPHWsesoRhPv00qpVIUuCitOqHFhgXF4vECmdkouR4NyqjTxKam0U2G1ndtvRaESSuFimuruh2bJE9V54CPxaKuT4ej5rsm9y5keYzr7KD5s6wUJe0OKte+iGJcZXgIUMBKUbMwLuoxHg34KK4Yz3peqtpLgDDOL6swDo8tmErRNtJHQutTjAfe9GpK+RR13Pz2m3PbA1ys0diUqhhXaL4beYynP1dFDUtrwpyk54SZy01Wdw4K/gyPMYBaXl2VLTyJbivFZGF8qGvBC6SWojUvK7ZjmVzgLRB1/WpLjnGaYlxF0FC4fpBvpYhTKYrdI9WttEgqhXpPlLU8zLJS1PHpJs9n9kjockVsKY9xVStFhsdYHZuFcctw/dDzmnwxKkVTl5Vi8kXTjTo426jY/G9/9DW841P3Vv7+gRtMFZ9rHVu7Ylx6wEecIZmvGAPNVncOCnnNO2q0cp1kirRpX4D+DPLJEenxuWuIbMtLpXCoGC8U9XdfdUyYhmh2jnHKSGggUoyHfiWBZ2bznVFSMVYe4yLNdyVzgBUzrRQ1fLrJ85ntMS5nBfGCYL5xbTlWCnVsWilaRpqCOWq+02OlmDSmdzUW3vvNU5f6OHOpX/n7B34wZS1RqRRlmqXytp06VRTjAs13KpKmyerOQSHPP7sWKcZ1FjBZinFPc9TiMGq+Uz0Ohzr11W6FnzNEQcW1tWnX6q/ueQJ3PHJ+0aehBdcPYJsCQgisOGZjrylSymyPcceCX3F3Y9bkO8MQMETx4lVZKYqMhB4131W9R+RbKaouOAvnGJcs7At5jCs2yUkpI49x/rAWKsYtw/XkVDGkVj86hnykraZUgdVGn/HOwK91EVfezSSqGChTyKiLSNrWmVKMy9z0YzUgZ7W+GlkpmqzuHBTy/LNrnfD9VXVcLZC+YAbCRbNOK81kk5+ygehowJulGCd/fhv4v/78H/H//M39iz4NLSStBCuOid2GplJkpbMAoQUOQCU7hRcEuddaoFyviIy+rIiVwqrcfDc7lQLQ4DGe0XynFg1Fn5syk++qTIwN5GgqaNaxB1SM24XrTxdqscdYw5bpwJu2UsSjZVuYI7o39GoVBmnRP0rhK3OBVYv9tIvIWpRKUGbhEce1WdkXkBUqxo0gCMKLcdbFfjW6Ye/WSKVIW8ABQGdeVopEXBugSzHO3kLt1PRD7jdSSmzuDPDI5s6iT0ULri9j5XHVsbDbUJEkLXdeod5nVRrw8lJlFGFhXE4xLmKlsKo23xVNpajpMZ6l7qpzcAuef6HJdxVtIOpamGulMI3CmctFYGG8D4RbWnO2Ukw230XHn0cTVxDIuW2PSimx69ZVjP04mkqxVuECm7fttB57TIsfT62U8/xdKx0qxk1g1g1kxamuZCmG3rTlBwhtUPNIpejEzXfha3dbQ5ZxfvNdpBi3ZHG+O/TRdwM8dmFvKfKX3cSORM8xay3i5kn8+kwpfEY7M+XP3fWzU2UUtiliq9EsgjJWCtV8V1kxzhrwET4flRXjgh7j8ByMeBLfzOPOsflO2UHTXh/JY3PAR8sY+sGUSqi7+W5qepZGRXqSt37kLrztI6e0HxdAlKRRTzFN826uVUgRiJvvUrbO1nvh8co0MI3UACrGTWe05Zh+iYybJGtsTw8yFGPdUyvjuMhEKgUAbGnzGGenUgBoTZG5uT0EEE43e/T87oLPpj5JK8WqYzX2mqJeH5NiBpBUjMufu19g6MShEvn2qj9lMl4xjbKJF4q4ME5RzwEdOcbFi3vbFIUV70KKcUUrRX8YTfbNeE6AanMF8mBhvA+EW1rpirEO/13f86dWU3FhrPli+Mi5HfzF3U/g4XPbWo+rUB7gOoVB2njRQxW8anmT79YrpBLEinFO811cGDfUD3hQiIPwMy72lmmgaxu1lP285judvQFKEZuXxzir+FBqeFsi287tDOJ/P3S2/XYK15exINNzzMbuQsVWipTdkzpWCtV8mMfRFRsXdotdw0s136nmtdKFcX4fyshKUXVMdrEBH+HXFPdfz5oyCIyupVWtFKpvKg2mUrQQN0UZ0pkaMXCDqVQK5THW3Xz3R1/+Vvwz54EqCHeH1QcQ5CnGZYqBvEYFNWa1jGKsLpL5ijGtFE0gb1GkWHWqj6sFwvQUJyWiSuUY67IrzdNjnNegOI9RrfNEKcYA8PC5ZSiMRxa+1U5zUykmrT5J6jTfzRrwAQCHVxxc3B3mfo1C1biFPMaxlUJzKkXNuLYi1zWFbYji/usCAz6EEJWa5FSNlDUSGmAqRSsZpnqM9TXHpYVf6zy+Ym/o46N3PApgfg01u254AQxk9Rtq1oAPoNwIXy/PSqG2o0t4jItkSK7EOcbNvIkdFIo0qdSZygVkj8Ht2gYCWb6jPe/nAKOGHss00LPNWlP7FLke47YpxtuhYmwaYmkKY1VI9ewmWylUYZyeYwyUV4yllLm7GYoyirGyUhRKpYjj2spbKYTILlxrx7UVSEZS2JZRYvJd/vhtRadCAatqmFk5xkXHVxeBhfE+kLalo26IejzGKXFtc1CMP/X1x7DV93DN8dW5KcZJL1nVxsG0KUqHOuWtD7lWikqKcf5FDwhfF4bg5LtFkzfcRbHasWrFtWWNwdXdH5AWh3WoW0/tVviBnNko1B7FOCyMX3D5+pIUxiPFNFSMm7kLpSJLU+PaHBWzWe69oN6/s5rvjvRsPF1YMS5vpSgf1xbaLrN8zJ2ahXF8XStipSihGAdBseeliuVB1TC5k+9MA0ONvQwsjPeBoTetGBtGuK1Q9+YnpUQ/Ja5tlHqh78Xy4a98G//sskP4wedszE8xTly8q8YLpSnGh7oWhKhWGKcpvHEDU4nj5WW+KoQQWHUsTr5bMKMEkfwphXU9xmkNRx2N4+KB0e5OZ6Iw1mOlWCKP8fYQhzoW/tllh5akMB7dd3qO2dhdqLy4tpWOanIt91r1ChaAR1YcbPW9QsquX0ExrmKlyCvmdTXfFY5r06wYV7E8xFYKplIsF25KoQaEXZZ1ldeLey78QOLYamf82I7+yXcPndvBD1yzgY5lahlMkkZyu2+vYtExcP2pbTnDEFjv2rhYoTBOu+93LBNd2yjV2e8lusTz6DkmFeMFU8hjrMFKkdV8B4y6sesyORIaANa6dilbURZ5MU0jj3E7XsubO0NsrDm46vgqzlwaaFHUF8mYx9ixMPQCrQ1KuhjmWCls04BjGZUL41mWgSMr4c5fkftC7DEuE9dWwUqRlUgBaBgJXXDyHVCuMC6SSgFEBew8CuMS0XJFYGG8D7i+zIhlMmsXrmcvhdt/33FovDDuaVadpJTYGXhY7ZjaV2dJkgrcXsXCIGui2JEVG0+XVHiBbE/wetfWrhgDUcHFwnihxH/7HMVprVPPjjD0sz3GgD4rRRjbJcZu6OtdS4/HOOeG2DbFeHN7gI21Dq45vgogTOBpM8kBHzqTSHSTN/kOqPY+U0rtrGLt6IoDAIXsFEGJAR9CCJhG8bgzRVqCVZL4PVV1wIdfRjEWhQv7IpPvgGrK7iD2GOeMhLYEFeO2kTbgA9BTGJ+JCuMTE4WxbRowDaHNY9x3AwQyLNo6VjgtKCi5Gi5C0mNcZZs6CGTmQiT0k5VQjGd4ytZ7djmPsT+7SxqI4rpopVgoeTYaxYpTr9N/4GbtJGm2UqSltHT0WCn8nC3UUY5xWwrjIY6vObj6RFgYt91OkbzvxPGSGhZDuonjBDMK49WOWV0xnplKET4vRRrw8nLt07CM4oWlYqaVQlMqRV5kqMIqYXsorBibBoYlld29QoqxyVSKtjHM2B4Jg/zr/THPZhTGgCqw9LxY1Ip9rWPVHkuZR9JCUMVjHPspU1aXh1ecUoqxP8Nnut61yqVSBLLQBSm8EVAxXiRKWZllpairGOc232lqcE0rjA91LY05xrM66NvxWt7cCRXjqzaWpTAeqY9xs3CJ69V+MRknOEkYi1juNTR6/85KpQgV44t7JRTjIpIxosK4wuS7PCuFZYbN2fvjMS5e2BeZfAeESRdl6wYlEPToMV4usoLGu7ZZe7v0zKU+gGkrRXj8+s19CrViX3WskRI0h2SKnTErRflzH6T4KRWHe+WtD0D2hbC8YlysQaHnWJUbD4ke/AI3kLXIY1wlb9gPJPxAxskNSXqO3sbZtLjIcOKXnri2bMW4PVYKP5A4vzPE8VUHXdvEMw53l6AwHsW1rceTP5uoGOeru2sVvPxFB1kciRYMF3YKeIyjl3GR5rvwZxePO1Nk7S4nqVME+iU9xsXj2mZH4wEqrq3cda1QXJspMPQCbdnvLIz3AdeTqU0AXUuPx7hrG3FO79jxbVPb5DuljK0mFONBxek7eYwpxhXOPS8svkw0DzBSCLIV43KFdpHAeSBKO2h540/biZtU8oaxdMzKedvx6zRlZ0MtPHXZoNJGT69FPvayOauT5I3drZu5up9c2B0ikMDGWigwXH1iFQ8tQWFsxR7j+VgpHjhzCfc/danWMVz1XkhZJAKq56Ksx7iYMhp7jAs13ykVutg5VLNS5HuMgXrjj1X8WhE7iGUUzwYOrwOzv65S853nwzZFbjE/GjfNwrg1ZG2ZdjRZKU4c6qTmHupQpBVqxX6oa81VCRpXjMsXh2rbNq3D+chKmEpR1Bs9a678es8qlUrhFhibCajxrVSMF0mRLcc6U7nSkiIUXd1xbWkj0rvVzz2JF2SP3a2bubqfqKl3G2thoXTZeg9nt/qLPKXauImY0PVe+YFERfi1P/0HvP2T99Q6RjztzcpWjEs33xX00h7qWjBEseY71XOSlTE8iWVWtFLMEE8cy6yVY2yIYnYQxxKFFGMpZe4CefyYRunite/6uVPv1HEBaEtdYWG8D2TFMnU0KMZnLg3wHYe6qZ8LPcaaCuPhSDGe5w1vd+DjaNQQUUUxy/OrHe7ZCGTx6Xf+DJ+pUoyLbt8UtVKsOlZjw/gPCoU8xk61qVzAaAGX7jGO3l9z9hgD9bfW85pu2jQSWg332IhiL8tMRGsqbpDiMdasGH/7/G7c51KV0Rhknc13s3PIgbBAPFywKVtd54s33xnVmu9mFPOdCqqrwisozgDh+RcpNNWvWNS3XCWuTcXPZh9Xr1hXuTAWQjxfCHEq8d+WEOKXhBDvEEI8lnj8x7WcaYvJKoy7tlH7pnH20gAn1qb9xUBYGOtq4FHND2sdc66K8e7Qj7czq6imedE/h3vlpt/5My6E6z0bXiALn2fRSJu6aQekPkVSKVaj4QNVVNe816nuyXfpA2/C90J9xTjbYyyEqLR1ugjO7YSK4fFIMT666mDP9bXmwO83SfVxzYkGHGmMaxt6Ac5cGuD8TnF7WupxZtgewrzwas13RYq1IysOLhRRjEt7jKvGtc1SjOt5jIvY+QCVYzy7sC+TjexYZoXmu+kBZtPH1RsIULkwllJ+Q0p5Ukp5EsD3ANgF8Ino0+9Wn5NS/qWOE20rUsrwxjSvHOPtQWoiBRBaNXT5FHfSPMZzslKsRap0FbU712McZ1YWLIxnbDuVjUDyCqgBALDiWBh4QW3/J6lOkead1chKUckLnzKNTqE7g9xNuf6MFON6hZLv52+hdiyjFakUsWIcLcrV4Icy8Y5NI2mlMAyBtY5VqidiFk9e7EPKcDhGnS1s9frMsiisRR7jMo1VRXLIFcpiN4u8gU9pVE6lKOQxrvaeKirOAKG6W+TvWqRRWVHFH13IStEUxXiCHwXwoJTyW5qOtzTkK0P1FOOB5+PpXTc1kQJQirGm5rt+0koRvkjnpRivdszKqqkqOLIGfADA0wWieYDZF5Gyvj2vYPPdSrRtRDvF4ihysV/V4DFOH/ARNd9pnHyXlmMM1B/4MOs1XWfbdz/Z3B7CEKOUAtWUVURJbCpJKwUQWb80WilOP70b/7vO8zT08n21qx0LUpZbgCpvbBHbQNF8+2pWijmlUtTwGBcpYAGleBdRjGfbzhRV1O6+6+cmUqjjAg1QjCe4EcCtiY/fIoS4WwjxB0KIo5p+RivJU4bqplKcixpGshRjHYq0YjsR1zbPfNLdoY8Vx0LPrlYYK19mWvOdslIUHQsdzCiMD5f07eVFWyVZ6ajCuPlK27JS5GKvistqHuPsBZxpCNim0Gel8NLj2oD6ntNZwf6dGo1C+8nmzgDHVjvx7lBcGNe0CSwKKWWkxCamHfZsrc13jz89ak6sY6eYld27WuF9Viav92hRK0XZHOMqzXfefK0U7owdniS2acSJIXnM6sVJ4lTwGO+5/mwrRdMUYyGEA+C1AP4keuh9AJ4N4CSAJwD8Tsb3/YIQ4g4hxB1nz56texqNJa8ZTBWuVbP38oZ7AFHznUYrRc82YRpizh5jDyuOiZ5jYs+toMTlTFFSalDR7dFZjQqxlaKoZ7lg48NIMWZhvCiKTr4DwobRsoxSKdKVEB1RjopBbvNdvULJzZl8B9RTt/aTc9HUO8XR1eIT0ZqIH0hIOZ7KoGsMuOKxC3vxv2sXxjkq6VoFL3/sMS5gXTu8YuNigb+zEk9L5RiXbb4LilopaniMC1spDLgFFG9/RqxpkkpxbW4wUzFWz1mTUin+BYCvSSmfAgAp5VNSSl9KGQD4AIDvS/smKeX7pZTXSymvP3HihIbTaCb5sUwGAlk9e+/MlhrukZ5KoWOynmJn6MUr97l6jAehYrziWLU8xmnP93pJxVh5jLMo2+ntFmx8WKmRdkD0UEYxrmWlyFBCOhobZ9Ob7+rHtQVR8ZWvGLfDY3xue4DjiSbmtlsp3Hhoxujvfqhra22+e/xpPYXx0JOp12vFKP2lhJWiREPY0RUHlwbezKJKxXwWrCujHONmWSmK2vmAaPJdgdokHpVdOK5tjlaKpijGAG5CwkYhhLg88bnXAagXcthyZinGQPXu87Pb+Ypx19GnGG8P/HjlPk+P8V5CMa6TSpFWcHRtE13bKDzkw58xwllNkyq6PVnU36WUSF1/O1KekUcxZ8BHjQVMvLOR8frqOYbeHOOJn6N2f+ooiEpNyruRO1b95J39YHN7GGcYA8nmu5YWxvHfJmml0Nt89/jFPVxxpAegvmKcNQ4aSFiWSvRceDOm6SVRf+tZgolfwksLhNeOsqJXUStFnRzjwh7jKG5u1o52GduKY5rwAll4lgAQ3tNbVRgLIVbw/7P3pjGWZOl12LmxvTVfLpVZVV3Vyyzds5OcjeRwkSiSGhoyZFGUCdjwRv8RBYMCbEEwIBgWbNiQYViwBUKGadGiZcGwf9gmaZKSJYgeixRnSJGcfeHM9DJLd1V37VWZ+dbYrn9E3IjI9yLu/b4b8Woqp/IARA+zquK9fC/i3u+e73znAB8H8GuVH/83QogvCSG+CODHAfy1Nq8gJnf2AAAgAElEQVRx3qEbBuu1nD6/c7KCEDizoFfR91yEccq6CZswW9Uxxt0WblJKzKMEoyAbvrMpDHWR0ACwNwjIjLFp+G6HKaWg6rsuGOPvPCiMceA5CFwHsxZa+KaCoEspRd3wnRCZS0Gb4Ttdd0bh/AzfrQoPYyA7/A8D99xKKZQ2dJvDdzcfLvCB6xMAZUCKDUyhFm00xpQitnQr0v8OKvmOY9fGdRaKKVKKlowxtbCnpskpjTFFe61CXDga6UWYoK85OAEVH+OOpBSbOcIMSCnnAC6t/ezfbfWOvsuglVLkX/bScvr87nSFg2HQ+CANgpKRVsWWLaaVwnhbGuNllEJKYNjzMAxc3HjYrV0bkLEDdLu2VDuBHHgOBr7LtGtjMMYXGuPvGNSGZtqkbMIHAP2BGeh2cLYpeXOn77XSGOu6Mwo9r7uu1bYQJSlmYVIwhwrUoawnEXVSisnAx3QVI00leYCsCVJK3Hy0wE++9zL2hn6rz8kkH7DxC48J3QwF6uwJuzB2HMQJ7/mqG5RdR8+1Z4yzkClqwEf2e5oYfZbGuBL6Y2KBFZZxUtQyTei6JrlIvtsyys1j84utFq42UHHQTSgS6jrQKs5WMXa2rDFWrbJh4GLg22mMi8+7wfdwd+DjUUeMMaDak3QpBeW0XmjqLgrj7xiojFMWPmDvStF0gOtyPiCK633Uxz2PnAJZBwpjfB6G75q+C84h+klDmSZXkVL0M9uzaQc2kPdnIVZximt7AxyMAtxvIaVYGYrBkjGmr4cc2UOpJzcVxiBfE1AaY66P8bYDPuiMsZIRmnTGCUPP3StYaPr752iMbee11nFRGG8Zus2jrfvAHWNhnF2/iwJ2VsMYd10Yq+n+YeBhEDhWPr46TTeQFcaUCWQgG7YwDSpw2pOUiWOgPDAtLnyMv2NICBpjIDvEtBm+0zLGHSbf1dlhTfp+K42xaYAQOB/Dd01dpvPNGG/eX1wXHR3U4N31vQEOhgEetJRSaIfvLKQUBWNO8TEm6skT7vCdjV3bY4iEpnQtARRWf6YinKUxZjK7UsrMlYIspehmrbkojLcMXcu0NPK3+zLvaeKggWoB2/5mma6SUmPsbqkwjpRXspu5UlhpjJvt2gB6yhGQM8aGttlkQC+ME6KPsWodXjDG3SIlDJIoFIyxYRMZ9SyDaFQx1mTX5rudSGnSVCJK6qf+u5JSNFnOAeeDMS4PKWd/j/1RcI4Z4027QW4gkQ7Kqk0xxu2G72ShPa2D6qBxDqAJIblSYZc4fJeyfYx5AR9Syrxw3W7AB5sxNvwOMUdjzPQb1nXcq3iihu8uYIZO89om+lVKmUkpJprC2O+ugJ2t4sKVQgixlQ1PtcoGgZun9vEHB8M482lsevj3hgE5+Y6yiEz6dClFRLTKUfGXFz7G3eLf/1/+GH/zN2gmOdSY01HPjjHWBXwAWWHcxXOrO5iP+3bvvbi24XcAFGN8XgrjdcbYb1XwfSdRJ6VQw8JdeBnfrDDGl8btpBQmxth1BAY+T8tfHgzM6+1Oz4PrCGN3gK8x5kkpIqKTRhspRRYyRQ/4UP9GB1YkNDOhTtVGA1NhXDDGF1KKcwHd5qEG4myY0eNFhDBJDYxxLqVoqVWMkxSLqGSMATUA0G3hpqQTo3z4DuB/NnUT+FXsDnwso5R0GCEVxhzGmBjw4Tgii8S+cKXoDI/mIX7vlbv4xt0Z6e+TNcaBncbYKKXwurFr0yVvtmWMVduySScNnBPGuCEUaG8Y4GQZsZ0FngQUhXGdlKIDL+ObjxYYBi72hj4ORpnkxDaoijJwNup5LLu2olgjSNeEEKRYaFXLsSKhGYVaeZgxBXy4SFJpdV/GaUpmjH2ilEIN39GS73jMrpqzMGqMn7TkuwvoofMrVacgG2ZQxUEfagrjfsEYt9tgVUt/XC2M/e43PPU5DHO7turPqKhL+aqCEwudUDXGZLs2+qI0DFzMn/Bp/vOEP3jtPqSk309xTSu6DqOeZyelSBJtZ6MrVwpdAT7u+a3s2kyWc8D5iIRWm+/6Gr0/9CElPRDoSYJiH4MzrhRKStGNxvja3gBCCOwPAySptJZomCKhgSz9bsoYvlNFJnW9pQxallIK2nvgBnzENU4idWgjG+AFfHAZY1rAB8BnjI2R0BdSivMFbcBHkP3MhjEuWgwaG5Ouhu8UI1ZljIMWljFNmBeuFB4Gik1nFh1hnBZShDpQzdwBqsbYw8kyJrElCWPwYRh4F4xxh/i9V+8BAHmgM0lTCGHeWLMN244x1hWUg6Cb5Dvd8O9O30OY0LondVgZLOeAczJ818Cqn+f0u6hmeLRkjLuRUqhwD+Wjf3+2srpWkwa+Cq77S2m3SC2MzRK7MvmO7mPMYYzDGvlLHdoUgSyNccWuTQf1O26DMV4UhbEpEpr2Xqm4KIy3DIqUYtnKlky/KWV/tyVjXFMY93x3axrjUZUxjnhFxzJOtFPyewNl5m7eHFJJ0Rj7SFJJYg1jYsAHkDPGFxrjzvDJV7LCmGr5FFNTCvMNm9tGNnU2+p6DRZRYt6cVdOuPSm60lVMoxtgkpYgSXtLV40bTHMh5Tr8La6QUY2ZSZxOklHjjQcYYA8BBHoxiq8c2BXwAfC0/J+ADyNZbEwnDtWvzXYepMSZKKfLv9O50iZ/+7z+JP/rmA/Jr2GiMTcUmxxqPW9RTNcae68ARF4zxuYFuyEZZkLSZateyNXmB2JZ5UguSGr4DFGPcbeGmFiY1fFf9GRWrKNVu1LsD+mZHWUQmAzoLk9m1MaQUF4VxJ3j9/hyvP5gjyItNCqjMyrjnIU4lexgmbPAWVlBT2G27MnW2XQqqULIdwNPplxWK+PiOmJxtoHn4LmeMZ+dPShHXSCl818EwcFsP3914uMDxIsL7rmWpd5dG2edkWxhTNMZjJmMcM+zagOxzomppiYQxXEcU0fIUUAtjFe/+K5/8Fr5w4xhfvnlMfg1OJHRZGJsioemyldJvmKcx1pFd1Wt3tc5cFMZbRjEVXnOze24WKdvGloyyKbVnjBWTu12N8eyMlMKuMF7GejPwggUiaoxN6+oOkYXJrMI4DIZn5eN8gU18MpdR/KkXD8mba0wclBzl9yknfADIigHdYq/u4baDs6qwrttsd3rtXApKmYberq36Pp5EGAvjc8gYF1KKtYN4F7HQX8oLse+9vgsAOGhbGBO8e7lSijiXQlGt1ShDoqp7Qx6+cwUiG1cKg95a3ae/+pkbAHgBYXGaGi0oFdS9YyruU07yHZcxjmlSCiBb4y4Y43MCUzpUlnDVJvpYpzHON6WOGONta4wXYYK+78DNXRkAi+E7E2M8pJvcJ9JcHBXMtuE7jBgRpcAFY9wlPvXqPVyd9PGB67tYxSlpmpvKGA8twgeATJ+rY4wLK8eWh1qTXRsA6wG84nBuCPio/t0nEU2f0f6IFhX8JKKJfeQkdTbhizeO4bsC73lmB0BZGNtatpkihwH+8F2cSjJbDGTfvWk/S7gaY0ewnCOK78yw7qwPsHH2d6pEDKiGZnSnMaZeU0HJTHVzQwq9C8b4/CBrE4nGk6stM6jb8BS6SqibFVKKSmG8DR/jMC5016XGmOtKoWeMlWclZbOjREL3iV7UHK9H4KIw7gpRkuJTr93Dj7x4WNy/lOctSlLSd6WuyZUjrKJ0I1CiCjWF3TbkowwSqR++A+ztu6iR0NW/+ySiCAVa+z3GPQ+eI/DgHDLGTd/NTgeM8RdvPMJ7rk4KUqbvZzMh9hpjwvAd0xYxZjgAAbmUgloYk4fXHCSMUCG6XVv25+97ZoLAc3iMcUIfvvMLxpjmSsEZvqPWJOp305kMVK99wRifE6wMWsJB4GJhwehSBl9KnWJbu7a8MO5XpBRbMO6fr5KiIC5dKZjDdwbGWAiBSd8jhXwkBM/HfqHjNjDGjFM1kLHzXRjxP+34na/fxaN5hD/3gasseQ6VMR4xiu0qQgNLpq6rondtoR++60hK8RgO59tE0+8hhMjcCs5hYRwXrgxrjHFL7+o0lfjSzWN877O7Z35+MArw0KIwVn68FCnFIkrIDCzHlgygSimy/3JdHagDeFQphZpr+Ss/9g70PYfFGCcMJp06fMeJhFbrAVdjbLJrA7LP7cKV4pzAZMtkG/1KYYz7HUspts0Yz8Ok0DEPLT2eV3GilZcAiqWnFEfmRVC9lmnAMWnYqJrw/MEQD+cRjs9hG/dJwq9+5gYOxwF+7N1HrKhtSjQrUGqMOW1eAAjjRHuA+9EXD3EwCvD3/sU3WNfdfB2dj3G74TuaM459uufjgk6Wtj/0z+XwXaPGmBFIVIdv3Z/hdBlvFMaXRnbpd2UQickWMZcsEQ+g2eB0t4VxUiTf0a5ZRCoTLduoUoqPvrCP/+Ov/BD+wvddQ893WcRXnEqyxliRVKb1MuUEfFi6UlCkFBeM8TmCqTAeBnZG/qtIDd813zCem+l127I102UM1xFnNsDMuL/bzW4WxgWrN7BMvlsZhpqATBNJ+UyS1NxO7xNZeTXAQGUb3nk0BgC8endK+vsX2MTDWYhPfO02fvqD1/OJfLoemMsYczXGYazvbIx6Hv7yn3oHfvflu/jc6w9Z1z7zOgSNsS2DGMYpHKFPF1OHkbaSkG1C5xy0PwzO5fCdKhA2GWN6IFEd1ODd91zfO/Pz/VFgJaWINMPpVQzz+2jOsVskkhBArjEmDplRNcaFty4x5KMurbAOjiPwA28/gBAin1HiMMY0iRhAX9uoYUhARWPccfId0C1Zd1EYbxmmlunAd7emMQa6MdifrWKMAheisiBsjTHOF8Ce50AIC1eKKDUyxn3PLQ4WOsSpNOrJyFIKpuH8i5ezwvi1OxeFsS1+8wtvIkokfvYjzwIAK2acOqQyti2MDcN3APDv/dAL2B/6+MVPvMK6dhW6wsN3HfR9p5Vdm2n9GbVkpR8HdLZzlES0JxGqvb2pMaYHEtXhizeO0fMcvOvK+MzPDywL46YCfh3c7kZMnBFQ6OVso+5z4QZ8qIN1wmWMGQV93+MRaxyNMfUzLzTGhL2NyxgvCgKQVnRfDN+dE5j8Svv+9jTG6s9bM8ar5IyMoqvrrmMeJgWrJ4TA0OcPoK0MLWqAwxibi6Ny+M7Qhis0xrRH7rmDIQLXwWsXjLE1/q/P3MD7r03w3mcyv1UeY0wb3inajVbDd+ai8i//6Xfgd75+l+VVeuZ1DIXHTt+31hivIrNsSUmjnuRBUt0Q4XlljKO4WUqRpNLKIhTIBu/ef22ywcbuDuyY6IgYgzxiPLuAnca4+n7qoGoussZYaXTJjDGPPAHoe5kCx5Wi52UdZyNjrApjwoHBcwSEoGuMszXGIQ08XjDG5whZwlXz5mErpQiTzKfRdJP3mCfKOsxW8RmrNmBbjHFcFBpANoBnY9dmartQT9mUdjrVlaK0a6OzDW8/HOHVC8bYCjcezvGlm8f4mQ9dL342ZAzfUZkVVWxzD7dhopdSKPylD2Vs9+ffeMS6fvE6Bh2wYhCtrk1ijJUGu1vGOE1lJ9HGQLZGe069c9D+KMCjedQ6gfBxoy4SGqjEQltYtiWpxJdvnuB7n93b+LO+71pZC5YsqTn5DmAWxky7NkBvI5ZyNcaKMSYP322fMU4YEhMhBEaBa/zME0bAhxAis3olD9+ZiS6FXofDd575r1ygDbYmpciZaGE4pXFPlHWYhZuFcaYx7tiubVUyxoCK6aR/NmmeQEZhjGczos7U8PmqAUfq8B3HQujFy2N85U07pvBpx53TFQDgnZfLlm/BOhGH7yiMk7rXuAycafZA4WinB0cAd06WrOtXXwdollzt9LwWPsZmOUjBGHdcGP/tf/Z1/NLvvIZndvv42Dsu4W//7PeyNKVV6L6LycBDmKRYxeYDNwe/+YU3IaXET3/wuvkvWyDMLdDW9wdl0Xe8iHB1t8+65u2TJRZRgpfWZBRAVqBFiSRr88v3SZMEbltKEVS1r736v5NKCSFg3HMVCleKbUopmPVDzNAYA9nnbhos5lqRcobkwkRqicUq/A6zFS4Y4xq8eucUf+e3X+6EJQjjpNZDVGFAyGivw8owvKPQY9q51GG6ijekFCp+sUsmZbHGGHO9fNUi2xVjTCmOPNeB5wgjW1IyOPRH7p1HI7z+YP5ET/Q/qVAWW3u5tRFQGeAhbCSZh7X5u3LyoVSKZr0KamHsOgKH4x5un6xY1y9ex1B4tJJSEAZdhwwnEA5++09u46XLY7zt0gi//rmbuPHQ3tZONwi5LSnIP/jUN/HLLR1HdIiT+vh5jpf3OlRRult5phQGAW3WYh3U4bvSUYbOGHMKdGVtqivYUmkmSqpQBS7bro0hpegziK80lUgZ6atAxtSb7pWYoTEGsrWIyuxGSYqAeN3M+rab5/SiMK7Bb33hLfziJ17BZ1+3a19WYdoAB4HLmipVMEk0FLpwj8ikFGdfq2t/0jBOMQuTgtEA+Df6kijUp7LoKXFx7fvmQjthDt8BGduZSuDb9+fkf3OBDGpgSsX6AmClKSZparRNUrBZkDO2lcaEXJn0cfu0JWPcUHhkjJC9K4WpoOl5LnzXrFPk4PbJEq/emeJnP/Is/oM/804AwN2p3cEB0K/RthpyE+arBLctuwAURElay6D3iUmddahLQF2/Lrswjmka45IxJrpSEGKmqzjDGDcgSemDd0BZgJoilRWoh4QqOFJJjt+wwoiwPrAZY4YMk5KKqDD0XbJriQkXhXENlHbtt77wZutrUaQUYZKSHx4FypAZwDtRNmG2SmqkFGZNFge3jrNN4treoPjZgOnxXPiqmuzaiCw6VadGsczhBnwAFcu2C50xG6ow3huW7FbfcyEEra3Pmd7m3qdAzlISTOsB4Mqkhzu2jLHBUm2nReCDyXJOYchMLTPh91+7BwD4kRcPcbST9b3vnrYojDVrdBng0i1jPF3FuDcNC9Li3nSFX/nkNzvrwIVJvQ+3ssG06UIpyc1OXWHs2RXcav8wWZTZaIxZyXfFftb8/qWUYDT8Srs2qpSiGJhkFMYMu7ZSzke//rhnfnZVwU09NHAK4yw5mPZ+Kew2FReFcQ2O8+naf/TFt9gF6zpMrMrA8gRP3ZS60ALXSSkKxrilTEPhZp7wdb1SGHOlFOq9mMzAqYMiSSpJD3vfN9u/cQM+gLIwvnCm4OPRPIQQmVRAwXFErumnfffUqfbsfqI/B1JKkl2bwuVJH3dsGWPDwXzcb6MxNrtSAPnm2mFh+alX72Nv6ON9z0xwOM4K43ttGeOG76IMOeiYMc6vpw48v/bZG/gv/9GftJKEVNHUguZ0TdZRBD31NwvjXmFbydsPqMN3wyA71JIL40SyunMBoQNK3Q8UVAFKH76zkVLQ9/c4rR/I1GHUczHrWGPMsVWLGMz/gFkv6HBRGNdA2c7cm67wB9+43+paxuS7FkEWlBZDWx9jKSVmDRpjoDvGWEXfnmGMA48npch/z64YY2pxRCm0uQEfQPagX98bXDDGFni0iLA78Dc+72FAK9KoGmOAn15J7WwoXN7p4d40tJq4NjEuO30f0zAuPFq516asQUPCZDsVUkr8/qv38EPvuATHETgYBXBEO8Z4FSeNsrSCMe6oRaugio1buZzijQfZ+teVNVzcIKUoiBibwjg/QI2C7qQUJqmPQuaQQJf9cIcAKf66CVNj7HEDPgrnIo6Ugj7fUBSwjMKbI6Wgft7Z8B1tvQkTaewmKIwCF3EqO3HLuiiMa3C8iPCh5/cw7nn4zc+3k1MYk+/UghIy7Z6ojLHfbvhuFaeIU1nrSgGAPXTUBFUYP1OZlM7avPTBoNLbmcYYm9qW1MWVJKWw0BgDmTPFRWHMx6N5dGbwTmHUozmdUDysFTK5Ev05UEXi+mGzCVcm2TNhU/yZXFomfQ9SAlPLkCHKGjTqkDH+1v053jxe4odfPASQbcaXxr2WhbFZY9yl3VwYpwWh8FYuIbvxMJsjsAnJqEPUwJjaFrBA+Rns1DDG1ATQdXCcGDL2kvY9RClPY6wG5HXsq5Qg+ekq+FzGmKi3roJjk2ejMc66PebC2HUE2a1DDe5TEMWp1rygikFgP1i6jovCuAYnixiXd3r4V95/Ff/0K7daMa5GjbFqbUU2kbK04Tsbf0mFacMm3jljfLzA4Tg44yiRxZfSU5rU79knMMZSmrVfcZqSGAKKy0Xp9ch75N55NMY37k2tGL2nGQ/nIXYrg3cKA98lFWlRQgv4UNfkMHCKLaxj3upwZZLJBe7YFMYGKVcx1GQhp6CElAC8gsaET72a6Yt/+J2Xip8djnutpRRmV4ruCuPqtW7nhfEbD7tljMOGFnQXUoq64btBUXDbSimIBywic8852AJExjiVZA9joGRQOQ4MjuB1Fas2eSbYaIxHRI0xh0nPNMa07zFMUvgeMcK6xb29jovCuAbHeRv24++7jNNljD9588T6WiavT9vWVtb+275d26xhMexeY7w8I6MAMlugMEnJiy2HMQagPTBISbe2obhSRAn/tA4Abz8aYRmlrabun0YcLyLsD+sYY9qABmdjHfg8VwrFwKw7vTTh8k7GGNu4GJg6VkqDbTOARwn4ALodvvuD1+7j6qSPdxyOip8d7bRjjHXM9zbs5qrXeut4CSllhTHuJrQkbvhu2rpS9DyntojtFxpj7vBdHl1NuI84DipRQpdCVV/faNfGYYxdpo8xk+UGSjkWhbxrCn3RYdzzECVSe31qSqgCx8eYqzEGLgrjrUEVxgejjKmhnlLrYJo+H1hqjKmbUtvo5pIxPruJb0NjfL2mMAbKYUgTVgzGGNAX9ZyBAoqUwkbfBQCHo4z1vD89f7G030k0SSmoA52chCjKwaiKpsNmEy4rxngLhbEapJqu+AUZVc417vETLJvw+Tce4aNv2z/Ttj1qKaXQserbCCipXuvWyQL3pmGxfjzsUEpRt3a5jkDgOdaFcZ2MArAvuCOixhjIvgvqAStJ632cm0BNvqPKBYCSVOFIKThWbQA9YKr6Plg+xoVdoa4w5hXbmY8xUWPMcaW4kFJsD2GcYhElmPT91nGmavpcG/BhqflaRVSNcTsf46Lt26gxbl8YSynx5qPFBmM8GWSvSY1+XRIZ4x7hMy8saAgPfI+g87IJ+ACySFqguxbr04KH8xB7NVKKYUDzuoxZGmOeF7liDIdEKcWlUQ+uI6xCPkwH6EklCY0L6gBwV8N3D2chbj5a4APXd8/8/HAnwL1paG11pjs8qPW5S8ZY7SdCZDaVbzwsfcq3LaUAsu9jaTl816SLV05A1lIKQrucMgimwLFbBGg+xmkKq4APjpSCS5xwtN2xBTkzJNjkJWlKDvcA+Iwx2cf4aWWM52FcDGltC6oI2x36xSJgu6jHqYSU+jaRLf3PZYxtN40mdovi+0jF8SLCPExqpRTqzylQi4Mx4INgzZNKBmPsucYDgk3ABwBcygvjroZyngbESYrTZXzGw1hhFHgkPT9nqj3rGGxv+M51BI7GPSvLNpPGWB0ebArjkBhSQhngoeAruaTtA9fOFsZH4x7CJMXJokW0dcOa4TgiP0x1qTHO7pXrewPcOl4WFm2+KzorjHUFBdWycB3TVdzY5bCVUnA0xuOey0q+YwV8EF0pbDTGdLs2eykFhzHmkDOUKG4OiQDwhu84tpaqiH/qGOP/8Xe/gb/0P/z+Vl9DbRC7A780Fbf8oAsrGkPAB2ChMSYyxn3fJQ2aNaFp+K5LjXHpYdw/83NVGJ+QC2NiJDThlB0z2k6Uwii2CPgASsb4ojCm4yTXy9ZJKQZkxjjdmsZYPVPV+HMTrkzsYqFNrcji8Dm3YYwTkuXcMPCwjPghRuv48pvHAID3X5uc+XkR8jG1TwfUbb5Uiz8q1Pf/zqMx7pyu8Pr9GQDgXVd2OnvO44aAD4B/vyrU+dkrULpwdVBrNqUgHPY8sm1ezBieBSo+xjopRSp5rhSFXRvdx5hbGJdMPWFNs9iDKMEqXH9nn8MYx3Q/6qeWMb5zstz6EJIqjCcDv9Cs2GqMVwT9lG0SEYcxzt6L3e9gZozbF8ZvPtpMvQMyVwqAzmaRI6EJuqyEsYhQNKZxwRjzHjlV3F0UxnQo1q1OSjEi6l05jLGKhKZ2ZeZMxhgAjnb6dsN3RCnFIyZjnKYSUULTRCpJ2rylteNX3jzB9b1BcVhUOBqr9Du7ZyRM9HMg4567FVeKFy+PEacSn3v9ES6NAjy7P8DDjobvoqT5YMfVxCtMlzqNsbkLVwdF2FDuI87wXcYY04u1Xt756HL4TjGznEhobkexJHkoSa42w3dmOek2GWMOi14Uxh14jp+rwni6ipGk0sronoqiMO776PsOHEbazjpKxriZGVKMMVtKQbZrs1uwFArGONgiY5xr7NpLKaiR0HTGmDx8Z/h848Kujbfwea6DvaF/URgzUBcHraDYMlN7s2l4qQ6qK0Nd7AuNMdGVAshjoS3t2nQHRc91sNP3is+MfN3E3A1T4Mb5NuErN4832GKgyhjbx2brJCGZq0aXjHF2LZVs+elvP8SzB0PsDwM86EhKMQ+Txs4ZN1FUQSelCNxsr+R2PqnJd0Amg1rFtM6DdSS0VkpBjz0GyrU+3qaUoiB56Bpjjh6YEomeppJ1zR4nEpqlMX5KpRTqy7E57VJxUpFSCCFYgv91UKQUttO8dLs2e0N3oDp8V+9KoWs9UfHm8RKB5xR6WgXFTlC1gyVjbJJSmIt6pTGmWP70Pdd4YCviPpnDdwBw0OGG+TTgeKFjjGnPW8zYpAr7P2JIz2wVw3cF6WCrcGXSx4NZyE51omwse0OfrTEuDqGswridn/o378/w/jV9MYAiFtrWmcLk3DHqmjEupBSZ5dzxIsKz+xkT/mhuP0SoIKXErZMlru72a/9cdTi4qEtAVRBCWDHRyruX4gCjnl3KfRQnKUtLS7Vr4/Aaav0g27VZSCk4EhZudO3pf+YAACAASURBVDNQOj2YGWPeZ00ujA0ypyrK+PanjDFWjAN38pWDamEM5IMjtoVxPpimW3RdR6DHtM9RbUxq8h1gzxjPwhh939lYuLpMvruZW7WtW+F4roNxz2Mxxr4rjEwBhzGmPJOUNKki4IPZKgOAg1GABxd2bWSodnS9XRuNVYgYUaTF4BFRrjRbxWRHCgUV8sFlRSkby+6AXxiHnMK4sHyyLy6/+tYJpAQ+cH2TMd4d+PBdYVUYK+cgbTppxxpjda23H5VezM/tD3EwDBAlsnXK3qN5hDBOi8TEdXAjzBVOV3Fh79d0XW6YlM49Yx3FIBjhkMJt77tOtm/ohslTppa2HL5jyAaIa44CR8ISJ/bDdyaNMdffeRtSip5n17Wow7kqjB8HY1xqjLMbwrbtBNA0xkB+gme8BqeN2Vby0DRw0etUY7zAtb36RZyzaa+itBhG0KFPmOQtNcaUAUfz9WwDPoBsAO/Cro0OpZetk1JQdGiqWCIbyzMHaGdhwtIXA/YhHyY2FAD2BhlTybouYw1Sh4A2zhRfvpkN3q1btQGZc4Rt+h2F+R71unWlmK1ijAIXh6NeISF47qDUTrfVGauY6WcaGOOhBWMcxinCON2Q1FXR98x+7uvgePdyJDkxw4dcwWQjZlMAAvTB9yhJ4TP3B05H2MZLn/KZUxNiFQI367Ca5GxJmoVsUddhIUTmdf20SSnUL7ztwrjvO8UNxxH8r4PKqnAjZakFd/badhn2CtNlva5MvXYXGuM3Hy1wbXdQ+2c7fY/uY0ycku8RXCkShl0bpZ1l08ZSuDQKLjTGDBzPQwhRDm9WUTLGzd9VORBEd6UA6HKojDGmyygA+5APipRid+izh+9WRNkSUGWd7Nftr7x5gsNxgMu5nngdh5YhH0WBb3Cl6CqgBMi6FcOeB8cRxYHnuf0hDkb5oG3LQ/Ctk8zlp1FKYcEYFxaDJsbYQkpBZUkp1mEKsWb4sAk9X18YpxKsgA9VmG/Tro0iCyyubzHnEngOAtcpdPF14B4Y1HpkmhWLGIdvBS7J2IRzVRgrlme7Uoq4kFEAtKzwJlA0xgBf81X49RpsyYD2w3cZu7G5GDqOYLVEmhDGKe6crjYG7xS4jDFlo6akBan2F8WehyKlUAMj3OE7oGSM22oPnxY8ypMr67670tKn+ZnmeKsCtO+/ilmYkFPvFFRbnDuAR/Ea3h34bLs2FmPcM3/mJnz55jHef223sTCxjYUuyAvNgXoU0P1zKZiukkJeoljdZ/cHhSa+bfrdrePsc7iqk1IwC9gm284qesygG0DZCdLWRCpjnOZMIzcsI3D1bgmZKwX9eqowj8hSCrp8S4ET8JFYdi1HPX1AT5YSamGNZ7hXSis/HsP99GqMWyS5mXC8iM4wTcOgBWNM3DwGzJN2sZhTGGOGnUsdtN6VhGALE24dLyElNuKgFXYHPsPHuDvGmOVKQSi0lX0Qh3FQUNrD0w7bud/NeNgQBw1UBni0jDGPqeAO0M5W8cYwqwkHwwCeI9hSilWcGCPS9/LDJ+fgFTK6Vhymrwk3Hi7wjoomdx1HllIKyu/B8c+lYF5xd7i624cQwPX9AQ6G3XiW3zpewBGlW8c6hgGf2T1dmgvjATPoBuCxpOXwnf4+4qzdVQR5GFYTUilZkgH1+vThOxspBT3gg+PNX4WJHOQ6gFA7bFaMse9i8TRJKaSUj01KUWWMMw9Lu9ejbh7cJCIKy6FQaowtXSnC5k088yNs9128dm8K4OwgShUTRmG87JQx5vkYA/oDG3fxqOJAhXxcDOCR8KghDhoopRS6xTNkM8Z0yySguQujg+MI7A19lq1aUgzp6p+JvaGPOJUspoVqjQi09xdVa/+Opig73AlwfxaS29YKlK7eKHARJinbEaQJ08r3/6deOsRPvucKep7bWfz7rZMljnZ62oCPKOHZnqq9t2spBSfZrDxgmTzjc79ersbYUBgnqWQRG27eVaXu7XZSCr7GmPsaJjlpkvIODGo9oBbGnPebsdtPEWO8ilOoNa8LDUkT1gvjJ1NKQWdrbI3XFWar5rZvz3NaM8av3s4K4xdzT891sKQUcUKakvdcB64j9Bpjlo8xRUohrazagEphfDGAR8LxIqodvAMqlj6axZMTOgBUQ3qoPsbNfrA6TAY8LXApuTIP3wFgDeBxGOO2w3fLKIWUZeRrHY7GPSSpZBeVlK5el/6o2XWSgmz4N77/efz9n/sogCxsxXXax0K/dbxslFEA5f3KSmskMMY2rhS66Op1UKUU1oyxYfhOSh7bKoTApO+TZ2RiCymFX+xl9IAPK8ZYc++zGWOCnA3IBjMB+jqcXdtrHSQEnKPCuPowmMIU2uBkuc4YPx4pBcuVgsUYt/Mx1kkpOAk2TXj1zhSH42AjzUph0vcxCxOSqfsqSo1tY4W+oahXiytFYzzwzYVRnKZWVm3ABWPMxcN52CilKIoczfMQKW2bxxy+Iz7D81XCllIAmeSB2j0BSg1f37D+TPLPisNGUw/9QLYRD3y9TlEHtf6ONAOLR/kQG1dOoT4j3eZLkd9wMFvFtUW+ECIL+WjpSnHruNnDGKgc5Bi/zylBY9z3LVwpGN69VElObKmlNQVPZNHHrEuypIChRfIdkL3vbfkYA8izHPQ2dhyNccEYG+4/1Y3mHBZGQTcOMuemMK62I7YtpZgMzmqMqWk762DZtVkxxo9p+G6LjPErd07x4uV6thgAdnPbvJOl+WbPGGNawdEzsBspM/kO0N+XWZLaBWP8OPBoHmmkFKqtv4XhOyJbNrWQUgBZYAmneF0Sh3QVu84qutW1ic9bm6EYxSzpvJ8vjbPv+x4zFpriNV8cpjrS+M/CuNH2bH/otx++OzEwxhZpqyRXCs/SlYJYVPW8jB01M8bKM54vpdAn3/F8jAFgh9HxzDTG/D2CytTHiZ3GeGwYvssYY54OGDDff2HMcwcCslqqCweZVoWxEOJbQogvCSE+L4T4dP6zAyHEbwshXsn/u9/6XeJsG66LUIk6JKnE6TI+Uxi3YQu2ZddmwxjbFMZpKvO233YYYyklXrkzxUuXdxr/zu6QHgu9iumMsamo5wwqUAM+bKzagLIwbrthPg2IkxSny7hRSkFZlMtpaObwHeEZjpMUqzi1klLsDnw8WtDvAXV/m9Yf9VnxZBq8wRjTZLsOTembVSg2kSt3KH2Mm6/dNWM8XyWNceD7o3Ypl7NVjNNljKsN9pcA314QoEkp7F0pOD615vsoLlJG+cN3uv1MSv6cyO7AJ5E6gHKl4O8Rpu6nQikx4ZV9o0AvJ02YYSqllGILGuPAe2IioX9cSvlBKeVH8///bwD4hJTyJQCfyP//1qh+MTZxlhScLs+m3gG05JcmbNuujeRjXGiMLSJA1cBFwyLe81xrf2Qgs546XcZ46UozY6wcQihs1jKiM8bZKZswfEdgCHpF8pmm0E547aYqhoGLwHMuvIwJUAeoJimF44g8tMfMGFO1bZzhO1VccX2MgbwwZjDGqujrGxjj3RZSCoqmH8jT4yyHYiiMMdcZRIGyRnfJGKtBwqYC82DID1up4taJPtwDAPoWGuPTQs6ic6WwY4w5rgNjQ1sf4A1OV0EJ+OAyxpO+R+7E2AzfAar7aS6Mk2Io0UZKoWeMOZ9LMQAdmdJH+a4UbQLZqtiGlOKnAfzD/H//QwB/sYuLVhfVbfkYnyyyL2pSaRdx0nbWsW27NsoN0yaIo2RqGhhjw0Jiwitq8E4rpeAxxtSNOmOMCcN3hEWk8JLUDd8xT9VVCCEuQj6IUKxnk2YdyBZPvV0bb3o7cLMoUsq6NA/NzFsT9oY+Tpcx2XlBrSlGxlgN33HYaGZhbGrH6qC+Kx3LXg5A2hXG2uS7Yniw/Ya7jLIh8qYif3/UTmN8K0+9a4qDBoChz9cYq7Q+3cxF38KujZMwCdCG4W2YRsAspUglbeakCo7G2LowJmqMbYcSx/ln3mTnyO2GDomMccjs3GXXzqSvXHeadbQtjCWAfyaE+IwQ4ufzn12RUr4FAPl/L7d8DQBnW2Tb0hir4mu3RkphM4DHsWvj2OeogpuyKTmOQODqbWiaYDJ17/l211V45c4pAOilFMzC2MSOKZhO2SXrQHD+IAw4xmnKtg+qIhvKuSiMTVCs524DYwxki6dO9sBlKoTIhssoDJza1HUOC01QLDjd19ssEwCygibwHLIWEuAdzgGVHmcrpcjZSo2UgjsAqUBypeggoEShXFPrf5eDkd8qzOeWIQ4aoLeyq5guY62+GMgIgjiVrHmcKJasgbOhwSEBsIs+BoDAc40BH1xuYzLIXCko32c2iGghpfBd0j5sy6QPey5S2SzHTFLJGiwfkIfvbArjbp7VtoXxj0gpPwzgzwH4BSHEn6b+QyHEzwshPi2E+PTdu3eNf/9xMMa1hTEhQrYJYZzCEWY/Ra59TjFJTWVHfcdK8mAqjNsyxq/emWJv6ONw3MzuKb03xfImk1J0wxjHDCmF7wojYxgn9owxkOmML4bvzFBt6KbhOyBnjDUH3XJBpn9fVA9XtY41FUY67DK1wOqZN+nuhRBZyAdHSpHQim6FNu4+M2IbHwAWzL2B5EqhGOMO/FFNspD9YYAklWRd6jqUlELrSmGjMdYMYSv0CZKydXBZUkrnIbJ0paBIKTh+vUAmBYwSafys01QiSekOHVVQGePyc+H7GAPN5CBbY0w8xHJtM4HqIbbds9qqMJZSvpn/9w6AXwfwAwBuCyGeAYD8v3ca/u0vSyk/KqX86NHRkfG11ILiiO0l3xWF8fCsjzFgyRgT9VNc+5wVc1PKtMA2UgrF1DQxxnbXVXjlzhQvHo21pulsKQXVrs3IGNM9H4UQxsIoZlrarOPgQkpBwsO8uDswFMa6jSqyaOFRY3YLxtjGlYLpN7yM6OsEW7/MPJy30f7NCbpsdSBma4y/Q4xx05q63zIW+q3jBfaGvrZzZuVjvNIHrAD8aHSAvkcqjAha9cRyyMycfAd2culu0eUxFPOpnfwDyBljkl2bpY9xoJeTcn2MfdfJgk+2kHxHlWmYYF0YCyFGQogd9b8B/BSALwP4TQA/l/+1nwPwG63eYQ6l7zoYBSxtFAeKlaxGQrcdvqOcdrj2OeohIDPGlrZqj4Mx1g3eAdl7D1zHvLAkma6oTz4smDTG2X+pxazJMifTGNufQy8KYxpUQbE/apZSmHSKBVPBWJCp+kq1jtlojDkOLQA94API9MscjXGYJHAdQd4QTQM8OqjWuY6xdBxhp3ElaIyVJrcbxljvsNHWmvHW8Upr1QbYyU6mK4KUwuNfN2Ik3wG0zkNU2LXZ+BjrLTy5desktxs1PbPlXIONlIImabTVGJvIQRsmneLEVWqM+YN9tvMMCm0Y4ysAPimE+AKAPwLwj6WU/xTAfw3g40KIVwB8PP//W2O2iiFEdgLbOmNc9TFuYdWzihMEhEKNGpGowNEYA9nGaPOZmRnjTKKRpJIt1bg/XeHBLMSLGn0xkKcHEbwgORG1QFbI6op65YVJnbbte3pz+zixt2sDsg3zdBmzYlyfRjyYh/BdoS08TRHshbE8K3GJZlVVMsZ2rhQAozAuAj4ojHGAY8Phc/3a1PUHyArBeZhYaWfnqwSO6N72EqBppT3XQc9zHgtj/MxeVtS+fn9udf1bJwutjAKwT74zeW8rtwvOXsAJ+ADMKWxAJfrYgjE2aYxt7NoAsxTQpkul0CP6R6uAEu4AYUkO1r9GYtENpcwctNEYt3Uusy6MpZTfkFJ+X/5/75dS/q385/ellD8ppXwp/++DVu8wx2yVYBR45A3IBseLCF5u56TQhjGmuiRwrYYourgqep5r6UqhH3rpeQ7uTUO86z/9J/jwf/HbLI3iK3cyR4qXNI4UCrsDs+WNYn/Jw3cGXRY3JcgopWhh1waULgvb8jJexQn+8Rffsh76eVLwYBpifxhoW56mzVVFkXKYCmpRZurC6LDHtFVbMhjj3YGPY04kNLcF3vPyA7TFOpRHaJva2NQByCqozkFjQkFGwVw5/TQUmS9d3sEocPGZbz+0uv6t45V28A6wY3ZpjLGyLeQM323PlaJzuzYp2VIK1X027Y3tpBS0xEHbrmXh461jjLkDfQRplZ2U4jvPGD9WzMMYw8C18kqkQqXeVW/+ge/CES2kFBSNMdM+J8zbT9STX8+zHb7Tt33/9Q8/i3/rB5/Hx997BbMwKQY/KHjz0QIA8NzB0Ph31WSvDktCS7QKU/uJO8FrMreP07SVlOLSltPvfv2zN/EL//tn8dnXH23l+o8LD+Zh0Y5uwjBwiwKlDkWxxNQYU7oyxfCVZcAHQC+MqQEfgJJSZNf90o1jvHW80P59qkxMwaRT1GFGTArsM/3gAXo66bCnv2eoKGUh9Qd41xH40PP7VoVxkkrcm66KeOwm2MhOtqUxXiUpK9Rip+8hSiSJ1ODKEgLPQSrR6KohJW0YuwoyY9xKSkHLE4iTlF3AAubhO5uCexCYiYSI+GxWQY2bNuHcFMazPIGNOuRig9NlfMbDGFBpO3b6uJDIGKu22inxNagFt0LPMFTQhNkqhiPKwn0dH7i+i//qZ74H//bHngdAc45QUO3g/YaEsip2KVKKwrOVPpBIWVypC0nf4PzRdvhOFcZ3TlbW19DhD7+ZNXa+dON8F8YPZ2ExwNSEcV//PNswFX0yY5wPkhE7G1V4roOdnsfQGNMCPoCMjZ6HCU6WEf7NX/4D/OL/+4rx2lTZElBuWDY63VnYnBRXxYA4hFSFKvBNTKDtHrAOisPGh1/Yx9dunbBfT7GdFJmOSU5UhZSS6EqhCmPaXiOlZGuM1f58qnHtsI0+Vnu1zpbMxq4NMFsstpNScBhj/h5kynKwCT4xDUADFSkFczgTaO85fm4K4/kqY4yzgmY7UorpMqptF9myBdR246Xcruz+lMYGZtplRmFs6R4xzZka06bBSadTUKzXTr+jwrgoAhgDiVqNMVNKYSi029q1veMok5woCUrX+KO8MP7ymydbuf7jwoN5iAON/R8AjHMT+Ca9tk1AANWuTa1jXJ2fwoQRC63eD6XwULHQv/aZG5iFCe4bJDtcxriQpFnIEeZExthGSkFdS7tK1CqH75p/n4++sI9UAl94g3dIpfrmA7zPSgUmmH2M6QmQQFZQScl7zij2nXHBGPM1xgAa5RRJKtnP7U5fDd/p7/tlYa3IPzCrbpVJBsf1G1YwDd9lHv286/YJBzMbFr30SH5KpBRKZ9b39W4CrV5jldTKBkY9D1OLD5q6eVwa9QBkA2nU63IGX/oGB4YmzAgsAVA+/LpT/DqOFxEmfY90qp/0zelBSyZjbDKjTyWfMd6mlOJop4fDcYCvvdV94frmowVu5tKWL9887vz6Vdw6XuLP/93fwxsP7IaLTHg4C7VWbYCZAeEm3wHAgKjzU+uYLfaGdL/hVUyXXKmC43/9l98GYD7kruKUNFisoKQjNgNsszChsaCE9uw6OF29LjTG01UM3xXaYvyDz+9BCODT3+LJKVTHimoRSi2M1bpOlVJQr2vj/qL2Gt39GdtqjFVh3Cil4DOjvutgFLjGbipH9rSOvu9CyvLzbIKtxtg0fJemFqEhhGe1cKVgvOdRC7OEKs5PYbxKMNqyxvh0VZ9hPyYI/utAlTwEnoNJ3zOyNAorrpTC4MDQhGwTN29InBAOheNFdMYvWofdgY+TZXMkJcCPqDW1zbjtuG37GAPAu6/u4Ou3T1tdQ+FkGeHuaXYQ++NvZWzxj7/7CK/cmW7t+QKAL9x4hC/fPMEnvnq782snqcSjRaSNgwbMmjkbmyB68l22jtmiqgU2YRUnZLmDCkR57e4MgNn5YhXTw3SAMtBkatF5m4f16/I6Mpkdb52jrtEmXToVcwLZMOn7ePeVHXzmdW5hTJcAcQ4RJicNBUoCaBU2rgNFd1InpbDVGLsGxljybckAsFyVbBhj9RyaZhwSy66lm6fnNl0/ZkZCA7krRWQeovRdwWLp1T34HQ34eJyYhTGGW9YYNzGkman49gI+AOBw3MPdLTHGthrj6SrBmCB1oJzi1/FoHhaBBSbsj7I0KN3iUjDGxIXFNCjC1xgbfIxbSikA4D1XJ/j6rdPWOfAA8J/9xlfwr/3dT2Iexvjjbz3AuOfhZz/yHJJU4mu3uim+63AnL8a3MeR3vIggJXBgOHCNDAyIWpA5E+j05LuWjPEgIGuMl1FK7qDsVSwqX7o8NnZ/uHMOalp8bjV8l5CGFW1IE+oaPQq6YowTkizkwy/s43PffoiU8axzbDw51nZq7zMdTvoBL/mu0PIzCliKZjcugizspBRNe2Uq+VZnQE7skDueFhpj4tAjN4ijir7v1N4vaSqRSj5jTDmYhUzHEiD7frJD7FMipZjnTAvVmsQGswbGeNRzrYZGODq8w3GPLKVgM8bEyMh1TJcRKbq257noeQ5LSvFoERW6RhOu5fZDqt1fh64Z40Ty0pOMUookNUaDm/DuqztYxSm+fX/W6joA8K37M9w6WeJXfu+b+ONvPsSHnt/D9z23CwD40hblFHdy55LPMtkwCh7MsufHxBiPCvaymTHmLsj9XMdvKmRmIU0v24QJI6FuFSdkzb2ann/h0hA/+tKhcSMPE6aPcYuhmMyVgjZQZiOloKzRw15XGuOYJAv5yPP7OF3FePkO/ZDK0hgHHltKYSyM8wKNKtuz0fIrxpgyfMclInoGjXFqMXwHZO+Z7MPPkCcpKJs8kyWrjRa4eI2GQ6faJ7lM+pCkMeavw0De3flO+Rg/bszCGMPAIwvNbdAkpbDVl3FYlUvjgDx8lzHG9AfIPhKaxm4ANEu1KpQ1HgXX9wcAgJsPzYUxtRVVLOKaQQuAYddmGr6znAiu4r1XJwCAr3fA6CoZxS/97mv4+u1T/MDbDnB9b4D9oY+vbLEwvp0XxjceLnDnlG7vR8GDWR4HbSiMVYejqTC2WZCLDoShnTlbJSR5UhP2hj6OFyFp/aP6qAPZ+uM5An/xg9exO/Bxuoq1nQluwAd3MKuKeZiQIrQ5ulkF6hpt2zVcB8XdAQA+8sI+AOBzjM4KJaxEYcCwa1tENItBtpTCwolBJclRhu+4RaBJY2wT8AGovdEwfFf48NszxibLtjaMcZYfUVMYq32SHfCRPau6dSxkhr+U1/aeDsZYSol5mG0oSmiuS6ixQRinCOO0uTC2DPjgFMb3GFIKzkR4z2Al1oRpw0GhDpO+Z4xtruJ4Hp1p3+pwfS8vjDWMMbcVVeiyGhZxrsZ4EOhDVLrQGL90ZQxHAF9tWRhLKXHndIU/+94rxeb0/W8/gBACH7i+u1XG+PbJqngmPvvtbuUUKjLbVBibhu9sFuRBUfjp1yUlCbPF3sBHlEgSe7mKEvIBeqfv4//+hR/BL/z4ixVWrrn44AZ8qFQ0bmEspSTPOtjI7Khr9DB3Mmka1qVC7WMmqAQ8Tgw8NawE4Nm1LcK0+Dc6+K6AI+h2bZGFHdfAd+E5gjR8xx00C9zs99O6UlhpjAkBVR0wxqbPPUkkOw1QoWmGghuEpdAPsjpOR9hFzK6UQhcOMueiMFZ2McrHGOCl61Cgiz+m5LPXgdNuvDTq4eE8Ii28nKEaICsCo0SytamcCfqdPp0xljLTC1OlFAejAH3fITHGnEjo6r9bh2oRUZ/3vuciTNLGzziLhG73uPV9F2+7NMLXb7VzpjhZxgjjFD/49gP8Ox97ATs9Dx98bg8A8P5ru3j59qnVQYqCO6cr/ODbDxC4Dj7XsZzi4ZxYGAdmxpi7IFNjdmerGOMWUgpOLPQqTlkM1Aeu72aDwIWOs3nN4x7OVVHFlTosoxRSgsYY50PGnHWO7kqRD/W0bNFSw0oC14EjeJ/XtqQU6u+ZCmMhBOtwEuYJkxyNsRDC2J3kWm0qmOzaUgm7wpjgqrSK7Rnj/mNgjJsCrOKis8p738rHXVfAZpI2/vt9agrjwvsx8Fq15HTQRbUO8xhqbmHJ0hjvZJZtlGSzFZcx9vQn4SZwBoUo7aLiumGCOJXFJm+CEALX9gZ6jbFFJDSgG77LJm2pA1jqvmxanLqQUgDAe57ZaS2lUDKKy5Me/uaffx/++X/8Z4rP7Xuu7yJKJF6+tR2/5DsnSzx3MMQHrk861xkrds0Y8GG0a+MvyNTUr/mKFlbRBHWYpOiMV4zhuypUiIKu+MhcKejX9l0HriNI6YBVKAkbZdZhEPD3hlVCs50rhwdbFsZEskEIkbWEbQpjImNMTVrltPmpQ6iAncYYyKRQukNboTG2llI02JJJCZsxEYo0aRnZM8Y9KmPcQmM88B0tY8y9bPE8aSSq9hpjz8oWsopzURirDWwYuGwdE/k11AJcY2Jua07P0Rgf5izXvVNzYcydCDcVbXVYxQmiRJI2JCDbTE+J0/KP8uKf6koBZHKKN7scvjMwxjHTzN3UyYgtzdXX8e4rE3z7wbzVg6+0vUfjHlxH4HDcK69/dQcA8Ord7p0pwjjF/VmIKzt9fPj5fXzxxrGVjWATHs7CbI0wHI7MPsb2GmMdw6dkAVR5Uh1282eGEvKxZHaWFCiT/9w1CFDDcfzDOUBnjAG6jy5AJy9Kf9R2G+5sRfNkBvjSEJ5dm4O5QeOpUBTGxAFIrpSCex9NDN3JkjHmSikIAR+Wdm2AXpqk9mab55V6KG/nSlGfKlk4gHClZ4To5lbDd08DY1zmy29PSjFdNkspTBtpEzg6vEt5cXJ/ZtYZryyG79S/o0K5cPCkFLTPR7WBqcN3APDsvpkxFoKeq25kjJn2aurw0bSRxUlqre+q4j3P7EBK4OXb9oyuYoyPdnobf3aYp8apQbYuoewIL096+PAL+1jFKb7aYWDJg7k5DhrINuLAcxoj2MOYrzGmbE7LKEVKlAU0QTHGFGvEVZQWRAIHFLmGTWFsowEu1yGaxhjgyg9ofsxK1zPhuAAAIABJREFU/sBx3qnDdBmT0j4BFYJAf73Sro3GgCepNIZCAOXnaZJSAFlhR+0K2PgYA5lmV+9KkWuMLRnjpn1StrBrA/TSpGXLgA/AvL+3sQxt0hjndbGFjzFBSpFI9hqjrv10FMb54jgMXKt2GQUmKUX2PuiLVJJmml4l6DfhkBELbWPXBpjtXKrQaa7rMBl4ZI2xSu6iaowB4NruAPemYeP3vsy1gnzpg8bM3YoxbvZ6bDt8BwDvyRndNjrjQkqx09/4s0nfhyNKVr9LKKu2K5MePvR8pmn+4o3uBvAezEKjvlhBF9oTJilrIAgoiwbdgb1cY+ylFGqTJUkp2jLGWoaLr8O2SS1VnRGqKwXA2xuo5IVaq6ge0nVYRgnCJC1cUUzgbvAho2vGSalbxgk8R5AK2L5XzyzWwSZhEjBrdm01xia7tkTa2rWpWGg9Yxww9q8qTCSPQtKSMa7XGNulDA5IGuOEJRlVGPZ4EqQ6nIvCeB6WRatiQLoO+VDFd1PyXfXvUMDRewElY0xxpqCyHApqc+To+3QHhTpM+j7COCVtSiq5i1MYF5ZtDawxZwIfKFkVXcAH52HXXc92oa7DlUlWzN4jWvvV4e7pCoHrFNZHVTiOwO7ALwbZusTtk7Igv7LTh+cIvHXcnWXbw1lo9DBW0HmTR3HKGggCaG18TpHXhEJjTCjQlkxLNYVCY9zAcKWpRJzy2RxqOmAVyveYwhjbSClWEU1KwRl6bII6aFA7ZXwpRfZ3qRpjgMauL8KUYYNZr0WtQ8QYFqzCLKVI4TLmQxRMdm1Jap98BxgOmlFauEtwQe2ix6mdNEG9RpeuFOWwsk5jLOF7FsN3vvu0aIwVY+yRU164mK6ym7ZuAbaRUnAL40nfQ+A6pIKHa65vKgLrwGeMzcbrCmpzoQ7fARXLtgZnCu4Efs/AGHOH5foauy51qm4b8AFk7IDniFaeqndPVzja6TVuHPvDAA+JIRIcKG3zlUkfjiNwtNMrkvC6wIN5iEvUwjhodpqx0xibWZsyWteeMR74LgLXITPGNhGzo8CDI5o3co4tWBU2PsNzG40xh2VNUhKr3kVhrNbGCYMx3p4rhV76VcUiot9HTcxiHQopBbP4yezP9JHQNsyo+tzqOqtKi23D6O4SNPtZd8duXaDOELVjjJ3aYc3SlYIfCQ1AO3NgqzHeHfiYh0mrGvFcFMbzsNxQdAVIG0zz4nunt1msKdaUY9lW6KKJgxZCiDzkQ18oSCnZbcwhQei+DrWIU9t+lEl2BbWps4bvcsa4aQBvyWSMTSlNKXMR0V2vS8ZYCIFx384+UOHudFWrL1bYG/pbkVLcPlnCdURRvB7t9ApZRxd4OItIGmNAL6VoNXynWYzV89eGMVZ2VVS7NhvG2HH0r7GynKDvG0Jw6qAYY0rnqk+0zKuCOnxHGUg0gbumchl2niuFKkwIUoooKQppEx6HK8Wk72MRJY2ShziR8G0KYw1jzA18qmJCOFRxA3OqKIkvE2PcTmNc13G2/VxKjXF3lpAKlyfZ3tZmbzkXhXF1Mpnq2cdFOXy3udgXGmMGPV9IEYiLIEAL+YhTCSl5bM3IorBXg0k7DCkFQNs4jhcRAs9hMbxXJn04QiOlYBYBpkjomNk20yWf2UaUNkHHdlJw50RfGO8PAzzcwvDdnZMVjsa9YoDlaNxdYbyKE0xXMQ5GtC7ESONNbjP0QRm+U7q3AfGw3ATKwUVKyT4sVqHTca4Sesu+in7gYsEkNKqORCYMLLqJ1CHCvp/F3rdjjLN/Sx2+G9gyxiRXCobGOErIQ5wDRmHMYbirUAeLJpeHJJVW3Tmdj7FyWrMpjHcJUoqlZXcHoGuM46RF8p3vIkrkRs5CeymFbviOP+sBlLMzbbqR56MwrujMbI3iza8Ro+87tQ+UYqE4xQI1X76KS6Me7huSjmwScmwYb+4irvSqNClFiN2Bz2pL+a6Dq5O+QUpB/0wC14EQzYxxwrRXo0gpuJY2Tdjpe8VBzgZ3pytc1jLGwXYY49MVrkzK17086U5KoboQVI2xjnWPEj5TQRn8ogYlmDDp66fygexgl0q7wABADdPWv8bKcoJ+0NCO1aHqSGS+Po8x5mqldwftOimq/b+14bskhRC0IoWlMY4S8mGu5zsMu7Y84INr12aQ7UVJakVCeE6W3FdfGCspBfuyGAUuXEdsjTF2HIHAc8yuFKl9yFRJ/NQXxuyAD4Irhc06DFQZY/v5lXNRGM9XMYTIHmaqZx8XuvjjvaEP3xWF3RT1egB9EQSAw3HP6ErB1S4DtoUx7/2rApoqpaDGQVdxfX+AG1opBf0zEUKg5zkbD7pCkkrWIqJLU1OMsU17r/a1LJMYgWyxeTALDYyxvx2N8ckSlyelE8bRuIcHsxU7OKcORRw0VUoRmKQUzICP/N7TaeZKKUW7wnin72s9UYF2EbOAnjEubcH4rDo34GO+SuAI2muV3qg8jSt1Ld0b0iQsTVDf2YTKGFtIKbIDv/neHTIY40XI0xhTu7ltpBRA816TMcb8tVaIrMCsk1Kowthm+E4IgYkhlIRL7Kyj5zkkVwpbZ6R+gxzTViaoOhDawjiWVsl3TxVjPAq8PHJSOSx072PcxEoIIXA07uHOCaMwLhhjegF4OA5wd7rSmq5zJo8VlJyDM7B1uozgOoK8iZdSCtrwHWfwTuH63qCRMV5GfGuqJtNyQJm506+1q/GXbaNPq4NOH2uCkupoC+NRgEXUbnihDrdPlmeY6qOdHlJJ8+42oUi9I7tSeI2uFFkUKe9e8lwHvisMrhTdSCnGfa/Rg1lBfXc2dm1Axo42FYG2LfAs4IPPGKu13wSOBRlQMt/U30P3mVDA1hgHHuvz4th4qs+KMr2/jFNyl6Pv0b/jsjDmDt/p95oo4ZEaVQSuU8sYK3bbdg03zQVwiZ11PLc/xJ8YPOFbBXw0yDWSvBvK9Xd2nKyW0/l0R4wciCoujQK4jsDtk+92xjiMiwJta8l3GsYYyAeFWIxx9hBwNcZhnGrZQI5XpYLKJZ8y7OZOl9nnQZU7lFIKImPMsGpTuLY3wK2TZS3DuIzSYqCEiuyU3aQx5rWdxvkkf93iZ8uMNL4WoTBqgs7DWIETO0zFKk7wcB4VdnMAcKRO9owDZxNUYUx1pRj3XMzCGGnNvRRZattMg0eqYBsy79N1UKQUijG2CfjIXqPZEsu26LYJ+OBEaHM1xkorTXUDyApjewnT6TKCEGV3yYSB7yJM0g1dZxM4bkUcl41lmJAlOX2/uQu3jjYBH4COMbaPPg48t1aSoAgpW1b30DBPYTsoq/AT77mMz3z7oVbqk7QZvmuQirWZnxkGnl5jbEFQAFnRzSUyN65h/S8fI2arpGBzlZ6me1cKfYY9d4LeRmOsonl1cgobKYXjCIwCl6VLPV3GLBnIwM90VBQpRcYY0x0pFK7vD5CksvYkyNHBKejafknKYwd0k/zFgEIHAR+AXgZggi71TqHQ1HeoM1avW9UYq/fAOXA2Qb1XDmMsJTCvWZhtp6FNjKhiR1ozxj2zxnzVkjHWWWLZFt1Zh4a3bk9D/bpche8KuI4gM5YFyUD8ricDfbCECSc52UBl1zhyB4B33x6MAjgCuEfY0xZRQmeMfTdP1DN/z+rzt5ZSNHwXUQtmtOfVM8a2unqFq5O+lsG0tVZU+In3XkaSSvzuy3cb/06USLYWWKEpPyKR9kz6wNdr6ENLjTHQfn7lnBTG8ZmWfp+gp+Fiuoq1DgxHO32WmJsbkAHQQj5stYPjPq+YOl1G5ME7gKajUrCVUlzbzSzb6kIhFmGCAbMI0DHGNqxDU6s16tiVYtxi+O4OoTBWjHGXhXER7lFhjJWsogtnCjUYS9Wu6+RFUWKnbdsd+Hi0aP7M5mEC1xFW165iJ7er0hUfbSJmAb0lVskY89YgLgMKZPMlVIZVCMHS5XJJhrZSipNlRNYXA826ziZwYrpdR+BgFOAuwTd/ySAdOKx9lGRBHNyiyhSYkSQSvq2UokFjXOy7lsXr1d0+3jpeNsokbcN4FD747B4ujQJ84qt3Gv9OktoNJQJVxrgbVwrA7NNt62MMZHvLd31hrNr6ChyvRCpmBMb4/iwkL+rTZVbMcx561QbWhXysLBhjIB/YYtjNnTAZYyBbsExSiijJpCI2UordIpZ18/PhsBoKPa+ZMY5TCYc5aNG0cRYBH5aL9TpGPQ+zMKmVAZigilAVQV4HxRh3KaVQcdDrGuPqe2qD02WEYeCSbZp0A6nW2rZxUEg66rCIEgx91yokoIrivWsOR+q+tt3IC818zfOsNkeu44XywuXMh8zChDWsyJFrcIfvdgc+pquYxIbWgduFGzI102GcsgiTw3GPlLS6YNj+qXuC8p6pqYPrGAUuHNHsSqGS72yQaYw333vxPFkWr8/s9rGIkmanl5aMseMI/Ph7LuN3vn6n8f6M2wzfNXyvaviOqzEG9K4rSe6qY7MOAxmReee7XWP8YB7iUmUj30ZhTJFSSAntxrd+PQ5brF4D0A8j2T6gO4T2axXTpZ5Br32NfrPFk8KJRRy0wp5GF7eIkoJhoaLvN1vcpJKvx2oujPN2U0dSCvW9cHy1Fe6errA39LUb3TakFHVDf33fxU7f66QwnoW8502xkOuMsbLwsmEqLo30rjKLkC/3qYMqrnSzCCuLWYQqdO1qW72ljc/wnCGlALLim2oJx22P77UM+ThlMsYUS6sqVnHCKiSohTGHMVZdRopt5yLiHXoUhBDY0bimZM+vrca4QUrR8nlSsxW3arqdQHvGGAD+7Hsv42QZ4zPfflj75200xk1uYEmLbmhfIz2zldkoXJlkRKbtIfZ8FMazEAcV7eCAETtJxXSlP80rpotKz58arleH0i+5W40xoKbwOQEfEZ8x1ixWCo8s4qAVioGRNSYzSSVCxuS0Qt93G4sLGzP0Jo1xadfW3fAdwLPfU7hzutR6GAPbGb5Tg5/rhUFX6XfrXSUTmkJvotR+Qb40DrQ+5PPOCmNCYICSO9gO3xUDTpv3mLo2tzBW7DXHaWG+4hVPHCkF11e67FjZFsa8PYGb5BcyOx2HlECpJEWUSPZnRFk7lpG9RZnOZ7tNkEWjlMIy7VHhmd2sMH7ruMmH3z4SWuFHXzpC4Dr4/75WL6fIXCla+hh3qDEeBi7mUVPIkp1jiYIaLqcc/OrwxBfGSSrxcB6e8Sft+w57ulmHOEmxjFKtlo3b9j1dxhgz2AEgeyg9R2gZAtuTK9f7NlvEee9/0veNTIFaMG0K4zJa8+xrqIeVyz685+oOvnbrtJbBssmV320YzikCPjr0MQZ49nsKd0/1qXdAtggOfFd7QONitopr/WgzLZh9y0thuopZDjBNcgRbKzIgG2g6XkSNLIWN3KcOBWOslVLYyR0UdIyxrX7ZhjHmdgI4hTFXK81xcqjDyZJHNgyZBwnu0OjhuId7p/pnfMm8j0oZFk273Ob+bGaMU6vkO6DZrq2UJlkO3+WFcd0AnpQy8zFuyRiPex6+77ldfLaBMY4tg0+A5me31Bjz3/sw8BprnYgpc1pHQWRaOlM88YXx8SKClDjDGPc6llIoP1Pdxno0VowxbROfLiO2FAHIRO66wtiWCdphFMZSSja7ASgphX7TOGnBGPuug3HP2xhwsk0U+9g7LiGMU3zu9Ucbf5ZIu8I4u1/Pan8LxrhjKQWlXbmO+7MQl0b6whjoPuRjlrfE1/W12VBrB1IKpnRJRb+vy1GiFt+VmhFoOlAsmHrZJpSRuBQphaXGWFME2jLG5ebK0BivEgyJw3fqPVELyfL36N7irA5csmHAlFJwhu+AbNh7ESVaL2P1WVLXViU3oTDGNk5CCjo7wTixlwxsS0qhGMy6wfEwSSGl/TxAFQejoHZdSHPNbptIaKA54MPKlSJwG2VPRWHcwpUCqD+IUPDEF8YPcr1t1YYpS1DqTkqhhtLGGr9MLmNsozEGzJOaqridMItWjpRiESVIUslnjAl2Rqqo3SMmlK2jTserPi/uRv3Rtx3AEcC//Mb9jT+z0WPtDnxEidy0tOk44KNJBkDBlHjg6ToWetbgLnBk8Pek4lQT0FOHUo5y9rsqPKethu/UjED95zYP406kFJQkS27Rtw7d5H9p18b3MQbo0gApZX6gYkgpAjppogp0skygRWFsQzZw7do4AR9AOYCrY425hyDOfELmJNRCStHggJQNmdm7UtT7GLc7aAaeg8Nxr7ZQa1t0VzHu+bXrgpI8tNYYb0RC23dDMynFtjTG7dLvnvjCWA2zVFmuvuc0JpbZQBWMuo2177uYMAaFpktea1dhFHiNNwtQ8Ue2KIyphRQ3oUlh0vcxCxOtc4diEmwioYH64rtgjJlFx+7Ax/uuTfCH39wsjG10arsNbEnnAR8tpBSnRMnB/sjvdPhuFtYHNVye9DALE2tf5vL6vGHRps+wzYKsulpNA3gLixCaOpQDTs0FWheR0EB9utgySuA5gl18KFcKutQhY9I4jLGNlIJa9CnvdZvhO0U2TBjr3iD/vXXpYFWwNcYEH/Elc23d6TcHHW1cu4UTgy4WfWXpQw5oGOOiU2u/hl/d7dUyxrb2h3XY6Xu1n0vppW/3/tXvvcEYtxi+0/kYtyEogKx7J8R3cWFcGveXCwqHFaCAGsZxxPDGO7VkjAeBi7mmSFBRzdyT9k7fQ5RIUo69erBspBSAnslSCyb32gq7A6+RMbZhHz729kv47OuParVTtoXx+vvrOuCD0kqvQxinCOOUVEBmjHGHUoqG50FJlNqyxrpI9zoM/Mzyab0wbtPCUwxck6vMIow7lVLoHGDaBnz0/SziusmuzaagaRrgaYKSuTwxw3ctGGMbsqGpfd2EME7JYSVA+ezpBpTUZ0QNc3Ecgd0B7VDdijHu+433/5zZZaii5xoYY8vnCQCuTga1rhRtw0OqGOcE2Iacr4XfMJB9r72a/Ii0TcBH4CKM09ok2zDOfhZY7pme6+DSqMfKnqjiiS+M78/qGGN+tKgOanM0FbKXiXpIKaXR5aIJOm8/oJxs5nqhjvLNZUaIhVYLDsdaCDBn2GevH7P8ZtexN9gs2Gw1xkCpM/78G2d1xomU7IGCpo0zarkorcN2+I7SGVHINMbdMcZN7gJdpd9xh++EEBgFm9HKSmNsM/RxMNInV85bFAJV9LysaKXYtdlGQgshGodJM6bPLjIboBfGqiBk+RgHLhYhTWZX+jHTrh94Dga+a3VgPCkIAQu7Nk7yHdOuDTAUxiG/G0c9VGfDd/ZSiukqru1Ozlto+Y0BH5bPE5A5U9zSSCna+Bgr7PQ9pLImoS5pL+erIyTbFNylHWG9lzxgP3wHZAN4t79bh+/UIEuVMe773UZCT4kFw9FOj7SBz8MEUvJS7xQGBCmFTcGtHDIoXsZTaymFPsMeUIb99u3kWo2xYjUsFsPvf/sBhAD+8BsPzvw8SSXbtLypMFaLd3cBH9nvydUYc9IY94eZw4JNiEjTa9e9rhqSaJNrv4oTRIlkP291uvs2spe9gQ9HNHudtxk2qkIIgXGvvmWqsIoSCNFu4HPSr7cfXDICH6rgMqA2EqkBYzB7YdEet02/O7FYU3ueAyEYjDFTSnGJojG2KNr2hj59+K4FYwzUr4HzVWwtWeo1yDTbBnwAmTPFo3m0cX8uO5BpKIwbHGuUDWWbrmUdIdlmfqaUCm1+3mEH8sMrE3vHoye+ML4/CzHueWcW4q4DPqgFw9FOD3dOVo2xjhvXs2GMfVerKTtdRtjp8fW5Y0YxZatjpvirzlf2bS4g88lc35iWFsxScb2Bj/c9M9kYwIst4jMbC+OOh+96novAdXDKLIw57dy9YYBU6r9LDuZhXHsgKqUU9pZtU6IUah2jnrvhStHGP9PJY3abhu+6cqUAsmfNZNeWFVb299zOoL5dvYpSq5Yy167NhjFWUgrTGg1kh4ee57AOwLaFsTrEcIami4jrLdm1+a6DvaFPYow5HYI9QzR69drWrhQN3UkpJeZRYr3HjPtZquj6/dOF3OFqQ8hHl4yxWgPX94YuBsAzxvgsIRm3YKKVHWFdhzxqOXwHZB3+71q7tvVwDyC7gVZx2hmbRZdSZPY2M8NCRdUs18EkpbCJagZ4TgalxpgrpcgZY52UogPGeBWnZzbXNlIKAPjIC/v40s3jMz9LU/7DXi7W64yxsgDr7nEb93mBLUCp2aRKKQB0Ztk2C5Pa190fBvAc0UpKUdgtMp+3cd/fcKVo42MMZAN492t+lzBOEaf0oAQTMsZY70rRdqOd9Df1/EAeX2vBGJeuFLRu39zCbWYQuEhSWUhidLD5jOwLYzt52sBvntxfB1dKAZjT75YWa+v+MMDDGWX4rkXAR74Hrn8Xqzgb2LQtuHf6PpJUbuzByvGjzUGzDPlYK4w7ZIybPM4VOdMmZKrnbeZHtCm4da4rXTDGlyfZvV2nYTbhXBTG+zWFMYBakbwN1E1EkVIA5kEhVXzaFLADg12bTfAGwHMysHWlUEy2rvieh3Ghd7ZBHSs7bzF8B2Ts6HQVnzloxWkKl7kI7vQ8iJqJ7DaWNk0YMyO+AR6z2nUsdGbXtvn9OI7A0U4Pbz2yZ4xPV9nnzRm+A7IuynSNEW8/Dd2rlVLYOqc0YafvaTsGijFug71hgOOa7z8bvuNfu5hsZ7pGcJ5rjiWcTSu/rmNFwYkl2aDzeq0iyaPM+YVxoI0x57pSALTPSKWV2toJKrvPdWZa7W9Dy72gabB5FSetn6crDSEfXdu1AZt78LY0xqUNnMXMgVZjnF23zWdyedJHKlFLVJhwLgrjSxuFcfa2u5JTTMMYgecYF5WjIk1Fv4mXGl1+ATvqeRvt3SpOlxHbwxigeZ9WX0MIYMxkdsvTqkZjvEowtGDSFeoK48J2ybLoqDu5JqmEy2ynO46o1WW2CY1oQma/x7v/TxkHtjIWun1hnOYMTFPh+s6jMV65M7W+vmKMuQe5UeBtDKO2tdY7aIiFLmUB7e3aAGXLZCqM2xXhTSEvtmy04wj0fbrVpq3GWL1HE2wK/KaBRBNsyQZTB1EhtBwOu2RgjG26cfs50dCUAAnYHXrOvkZ9R0t9VrZ7zKTBCrGL50lJKTYY49jOh78OhZRiuS7na68xrtPvKzbWhoje07i8tPUxBoAjpaHXHPya8MQXxg9rpBQDBitAATU1S6XXmNq+6qa0Gr7zMx1Pk0yEO32vUAYamAvjk2WMceCxh8/GDaftKtoyxqpgqz5MbezagNKxo7oB2QR8APWt1rYeknXIkgx5G3TJGJsPbAVjTGiJmqBawU26v3dd2cGrd6bW0qipNWO86e2tbIJsDzGHDVIKxYooL9+20Pm4Au3idhX2hgFOltFGK7KN/2yfY6dm8VwXXsmEYtJWSvHIUmPsOoKtMadKKQoJEJNhOxrrB8qLwWbm8B2gT79r20FRjPF6R0Nd11bLv9MwQL6K2ndgRj0PO31vgzG2jVivQxPj3cWcS92zO1vFcB1hJT1TTmN1hWvUYtZDQfmOU/Tu63iiC2MpJe7XFMaHRTxz+8QsIA/jIGyqVCnFKWP6fx063Y1tVDPAs/iyfQ3fddD3HW3xzY14XUfBGFcW3UUeOGB7uqybjo1TCcdCT1ZXGBcTwR1KKUY9l2S9V0Vp12beNLqUUihf7qbv/V1XxlhECW48XFhd31bTX9edUQuy7SZ1MOrhZBlvhASUzFt3jLHJrq0LxljKTUbHVkoBgDVMZsNWckiThWVhPA8TLRtah9N8j+FqVKlSilWS/R0bKcXpMm5k2NVrc507AOBYU5DYppWuv8Y6Y1xIKVpojIFNj/AupBRApjN+6/jsOrcNxnh9bWgTxKGgSLsqjhcRdge+lfZauaLUSc+60BgXJJrFnMwTXRjPwwSrON0ojK/tDQAAbz2y20jXMV01t3mr2B/68F2BNx7oX9fW7gyoevttLlS2Uc0AijheCmM8XUVWrwFkbKQueKCN+TpQSZdbnC2M22g3C4/nSpHUKWPcwaK0jmxwjOlKoQpjwsFEJVh1EfJhcn156coOAODl26dW17eVUqgBxuoEelsphVrs1w8UNg4LOqjhuyb3hS428qbDka1dG5BvrsTZEBt9K0djvLKUUgD8kI+TRVQMJ3OQMcbm57yQUjDv20NDjPkyTjHwXVbhU943umTGdl2+wHMw7nma58xWStGkMeYPNtbh6u5myEeXjHExZL/2/ouuZZvhO9/ZONSeLOPimeBiGLjo+05th60tQQGU96FNh+eJLozVSeJguF4YZ5KGm50VxhEpDUwIgR9712X8n595Q3sKofoi10Hn7WerUwNQtPEoA1u2jDFgZrK6cKUANjXGbab9Bw1SCq7GWL2/poCProfvuMl3qjNCkcg4jtkrl4q5oSh86coYAPDyHbvCuI2UIkuDLAu11oVxQyx0MSDaoV1bkspGP3fbdLoqmlribRjjHoMxtnKlUBpjwmvYMsYAvzA+XcZWNpvDwCN9XrZSiiLko6ELugj5khySlCJsb1FW55dsWmtMaIpbX8VpJ5HNhzV2joVHcgfXDzwHPW+zaxt3MAA+8N2N5Nzjhd3ME5DVU5dGvdpDWRca471Ch/5dJqUoCuM1xnh34GMYuHizxSR7FbMV3ffwr//Uu3C6jPH3/sVrjX9nuorzSFX+x1umHW0WPbY2agqmwb7ydex0zEBzVjuQFR1hnLbSGO/0/Q3nhzZ+mEDJLiw60BhPaoZz4iTzRG5j9bOOcc+1Sr7jsPWZjpX3GnUwMcaTvo9ndvt4+ZZtYZyFWXAn0eucWtouyGqtWo+FbmspuI5Sz1//rHXBGBeT//PNjdyeMd6MlW3CIkrguzyJ1EAjRVuHzYF6tzLjcOd0uSGZaYIt2WByKVIILZPCDnf06Xc2zh0UGVYXz8P+MNi4N8sYcUvGeNDAGEfdSCnqhmZJ5mhlAAAgAElEQVSVR3K/g+sXr7G2N6iumg1Zp9CvOdQeL6LCptQGlxpcUdq6AwHZ++15zuOVUgghnhNC/HMhxFeFEF8RQvyH+c//cyHETSHE5/P/+1dtX+PBXKXenS2MhRC4tjfAmx0xxqdLunTgvc9M8Be+7xr+wae+1ZiqkunJ7G6WOvZSwSY9qYodIsvI+TzWobMRm6/aTQwD2Yl3p+edKT7bRu0Oa6QUcSrZdm1AyRhXW9xJKjtli4FMsrKIktpI1CY0pc81wWQJRoUaPNN97++6soOXb9s5U0yXMUY2w6I1erxQRUJbSymyQmNdN9e1lKJo+TZ8P7YhHFU0Tf6vWrDRdZZPTcjYSv6wGkAsjC2GCBVj/J/82pfwA3/rE/j7n/wG6d+dWK6p7OE7tpRCTe7XF8bLKGG7/ewStJ3l8F07RnD93mz7nA18F64jNsiNLuwPgTyYZ02+tYwTuI7obDi7bg9WA2iKRbWBkkFV3/tJrjG2RRaIVCel6MbJaX8YPHbGOAbw16WU7wXwMQC/IIR4X/5nf0dK+cH8//4f2xd4kJ8k1u3agExnvC5it8Ux88v9ax9/F8IkxS/9Tj1rPF3ZSxGU/nNeM1hVmsRbXrsmArcObaUUTcV3ETDRsjjYHfpnmAKblmgVxcBjvqimhfSB/3jsDnxEiTyzMUeJ7DTcAygH6ExhM1WcruIiGpyCicH5gIoygKP5O3rXlTFeuzu1MmOfriKrQdc6F5WSqbBbkB+XlKK0Zap/1paWIRxV1DHGSSoRJvZSirpY2SbYMLqFxpgipQj5Bf7lnGF963iJnufgjQdz0r87XcZW6/aQyhi3lVI0WFotI/59tNPz4DpCW5AUFputpBSbjHFbKYUQop7V7WCYFcj2x/UAkVWUdsYWZ6+xOX+iJCd7LYrYvu9shOe0LYwvjXpFnVdF26AlBWo8+TqsX1VK+ZaU8rP5/z4F8FUA122vV4dCSjGuKYx3+7jZgZRCSskWkL/9cISfet8V/JMv3aodfpku7TZqoDp8tw0pBc3JoE1hPO41D4VRmEMK9gZBpxpj1XZTi1Vc2Kvxi6M6O7kkTTtnjAvPaAajO13StPTV1+hCSjEzuFIA2QDeKk7xOrHQOHv9xEr6s1PDGLeNIt0d+HAd0SilGHbmSpEb+Td8P10wxpP+ZoHTdoK+HzDs2iyGatXfp7DSKwtLu2f3h/itv/qj+NTf+Ak8fzAk2xmeLO1azirl1XRgtC2M+76LnZ6nl1IwvwMhRB4LrbcTVK9vi/3h5mvMW0opgHo54CpOWj9PQJmOWl1Xl3HSib5YoY4xVvtRG9nD+mCrlLK1lOJwHODeLNyoo8Ikhe+2lx/a2it2ckwRQrwNwIcA/GH+o78qhPiiEOJ/FkLs2173wTyE74razfza3gD3pqvWIR/TVYwkleyJ4R996RC3Tpb4xr1Z7TVtC2OdRq5N1HT273xja3wZJQiTlB1dqrDT9zY8IBUKnVNbxnhtwK2tK8Wwd/YwUpiWW0opgLOFcZTKTsM9gErCEaNw5WjpgQ4L49Csb3tXC2eK01VspZ0rvL1rGGNbBxHHEdgfBjVSCuVj3DVj3KQxbs9wqQKn2q5uO0E/8N1CU2mCjURKddwoEiDbTtP3PLuLcc/LNK4Ej9Q0ldZdxCGx0F9ZaoyBTOfZzBinVqTD3lpXbx1tveeBjP08Xpz12Z6HmXVnGweJSc1sRRc+xkC9T3JX11YY10jgHs1DDHy31UFErV0qoGceJohT2VpKEcbpRuczitNOuqx1OnQKWr+yEGIM4FcB/EdSyhMAvwTgnQA+COAtAP9tw7/7eSHEp4UQn757927ttR9MQ+wPg9pTg7JsW7c+4ULpdrlf7o+88xAA8Puv3d/4szaMq86urWSMbQtj88BWG+cL9e/WNVQKhZSiJWO8URi3Hb7zz37mcQvf4Tqf5SSRrWxy6qAKXBZjvOJp300hElRQvEVfupw7U1gM4M1WMYsJV2jSGAee04qpOKwpNLrYsKtoMvJXWEbdMFzrsqW2TF/fd3hSCgvGeBi4te3ZKuIkRZzKVoXZLrFNOwtjSGm3pupmTqpo03o+HPcMrhQ2hXFAC/hoKaWQEpvzJi0Pn9uVUmy6Xqzi9g4yZ16jJvzp0TxqpS8GUEhq1HenivtWUgplF7jWsYiSbgrjxy6lAAAhhI+sKP7fpJS/BgBSyttSykRKmQL4nwD8QN2/lVL+spTyo1LKjx4dHdVe/8F8M9xD4VqeO/5mS52xKmC4X+4Ll4a4vjfA7796b+PPbNPpgLLVWrcQTpcxhKD50NZB+bbqoIqENoWxlPXa13nBGLcrjCdrhbEtq6HguQ4C1yk+87wutpI/1DPGT4aUIhuqpH/2477eK5eKWR65rlvoRj0P1/cGeNkiGnq6tPPGrnN2iJK0ta7tYFTDGLeU+6yjKIxrvn8pZWcb+f5agaOs7R5LwIflUO2lhljuKpYtfw8gYywpm27Z6bMbvgPMmmn1vdgwj4eaWGjbBMWmOHGFtsl3ALA/2rTjypJV2+0vO31/o+sZdhTwUTLGFSlFR44XCuOawv5RSy0wUJUpZfea2uPaFcb1sc2KoGiL3Vxuw93D2rhSCAC/AuCrUsr/rvLzZyp/7WcAfNn2NR7UpN4pKMa4rWWbrfZGCIEffucl/ME37m9E2U4tGSygIqWo0RifMHxo6zDqmV0GClba0lVD1+IvrHRaBHwA2Smw6vzQRdEx7LmFlKKN52NdYcy1SaOAk2QI/P/tnXmQHNd9379v7ntmZ+8DN0AQ4AGeAA/xtCzJOmgdDk3Kke3IOiJL8pGyfCS2yymnrIpjO6nIKdtKIp+xFcupRLIsl2xZlmVRpCRKJHiCIHEusAB2gb1mdu6Zzh/dr6ent+fq9+vFDPj7VKG4nJntmZ3Xr/v3fu/7+/70YGmj0r+UotbBK7dXem25vm8ygRNuAuM+M+ESeY5b50Sl1lCvhI6HsOLgSkElowA6SykqBOb4EnuAY2aMlRp81Hu6Ubmd19l4+0DPPDbBVv5IvDcphUqywbSS7JJlNxt8uBiXsWSoY2Ds5jtKR0Ob2jW3Hlf9HM04NHAoVOrKzi9tM8YUGmOHnR4qj2SJ1Bhb59gaRcbY+PvluSiTim5ll0CzWNmeSKjU1BMUgL6wr9QaPe9SSVTe+V4A7wPwsM2a7TeFEM8LIZ4D8BCAn3X7BssblU1WbZIpmTFWtGwzA2MXg3vv3jGsFqp46cK6+Zhs2+w2Y6xn1oRjxlWvbHZ/EiZCAVRqjY7emxRSCv04m2/YMiOruqK3Oz8UKjXloCMW9Jufr67QkCPlEBivbFRNb08qTBlAjxrgUlUv4OlXSgG017H2SqHc281qezaGcyv9F9+51W9Ggj4EfGKTxlh1Cy8bC5lWkxKKG7aVgN+HaNC5YY8MOii2Z+2V/6pSinDQD01DS1OVdhRdWIUBehMFpzazVuTfoRKQpKNBlKqNrvpf08fblZRCPxedirGtuC2+A/SM8Uqh6tjm2m39hlNhnBWZiVaRLEmHhRaHIoIFaMqWMabcgXG6pnqRMa41WhsXrRYryETV7kFyzsvznSZj3ElKob7L2jxH+ruHqbhSfEPTNKFp2s1WazZN096nadpNxuOPaJp2weXxcWm9ZNrj2IkE/RhLhJUDYxWdzD17RgEAT1jkFG4CEDvtthv73Qq3Iy/MnbKMcsK6DewTHbZ4Ta2pYvbUmpVtGBlN1SDAaqRf19y3cE6G9VbKLYFxoeJZYNyrz3Cu3P+4dvPK7ZVei1HnRqJYL9X66iqmaXphk5uMvBACCVunxgpBYDwSD20qClK1FHSiXXGk2UmLLGNsDYyNTJ+ClEI/Tg8+w5V6301bgPZNA1qOTWIX1ttNVy5e3OwiRoO9Zoz1590GxsDmrJ18X3ca4yAKlfqmTmnmcRW95wFLIxGLM8gGgZQiZVwT5E4w5Q6MU20AlUey+R4OVo4kGmObK4Xb+iwrpr2l7dyj1BgDWxgYe82l9TIKlTp2j8XbvmYmE8GCavGdXPW4OGkmUhHsm0jgCUsBnpsAxE4sFGhj1+a+qA+w9FHvEOjIk921K0UHf1XTY1K1Va1lFShXxaoXWWtXwJrh0+hGsuLzCWRsrgQrhaqph6OiXymFm5tztwKvXuk1Wzo3EgOAvrLG0srK7ULUbm1UJdC2ZWNBaNrm7oyUGWOgffv1ZpcrmoyxNStaUrRrs+sUO1Fwma0cTYRxZaPcUa4h31+18xqArnIKtYxxbxpjt53vAKuXcWvWTtPcJx2kzKFdkw8K+ZtThz2KjHEyos/fvHE/UNFv23FqIEJdfJew1Z9omqZrjBUDYzleZcKMcSToRzzk37SQrdYbJBrjdt07uzGwgfHJy7rWcNdYou1rZtLq3e/WilX4hC4zcMMdO7N4/tyq+f8q2QFJLOR3dqUou+9IZ/1MndpCryv6HXbyV92o1BAO+JQ7/Fgzxs3qZrVjRh2kFG4tu7LxZsZK0zSsFirmBKUi6PchEvT1XHznpiUolZRio9Kbndo2MzDufU43C5vc3VgSNt19lUhjDLRm4AqVmpK3qhMJhyIhwHoNUl+MZczud/rfIm+KboMEu06xE66L7+IhVOtaS4GTnWaAr1Z8B/SeMXaTyTSbD/WoMXajyxxPOhdAqSQdMm26JkrcdNSzk4xs3p2j0hgDzWtL2dwlUQ9ehRBI2XZ6qNpNS+x1PqWqLp+kklIUbYGxShIQaC5krZSJ7NrMjHGfXsYDGxifMvyBd413yhjrgbFK1fx6UQ823Ra0TacjWClUzQuTmR1QCIyt2/pWciX3/siAJWPc4YaxlCsjFPC57q7nVOkvKZTrylZtQKuO12ycoBh0xBykFG6dJEYtGsdcuYZaQ0OWODAG9AugvXVpO8ydjKuQMd4o97a9OTeiF9T2ExhvKGTjACPrSq0xjjtksgjkPnbsN1iJqhzKipkVNQIcVf1yry4LDUMj6eZ9ZKW7XbdohaL4Lh3brHF1QqX4Tn6+Xu3a3CzqzIyxzbKt+R31Px9kENau+52bjnp2fD6BdDRoc6WoK98L7AkBSmmSPL6Xdm1NmZ3+HhTtoAHr3NXPNT12Cig7Ljm5+FDprp12FXphcAPjpQ1Egj5MpyJtXzOTiaBQqfelSbTTbztoO1IDLbeh5GdRkTy0zRhvgZRiKVfGeCLsuiiik43YRqVGsp2csdyQ5MVbNfsQs0gpVIrvAGkXpZ8Pq4b+TfWi5MTO0Rhe7dHFIe+iqLJbE4le2ehxQZSJBREP+fuSUjQXogpSCpvGWHULT16MrRf7ItG5b8X+2SU5hUDMzqaMsWrnO6kxbqM9lcjnXUkp4u01s+bxiVoSAz1kjMvu/dt7lVKUjfPWzXV7tI2UoqjwHY2ZWWi6jnpOjMRCLVnpAsE825QxJpRSyOO3dL4jzhib92DjPSjaQQOb6wNU20FLnHzfOzmS9UN6q4vvvObk5Q3sHI13zORSWLapBsbjRmC8ZKy2L63r/53sENB3IxoKoGDbOtPdLhSlFD143y7myphIORc89oLZecpJY1yuKxdGAM3v/NJ6s/Ohsl2bpeBRaoxVpBTypiwDCuriOwC4cTaNlxbWu7aLBdzdnJuZE8WMcaW34jghBOZGYphf7l9K4VZPm4i0tjCnyBhLKcXKhj2TRZ0xDjomBXKEUoq2GWPXUgrj5tol0FPJ6LbzRm05flVdSjHS4zZtvlxDJNjZx7sd/Ugpwi7P23jIj0jQtymINa+tLs7byaR+/5P3QzsUxXeAYd1ZoJVSNNs2GxnjqnsrPCfsgTGV44X1+EDzmi/nrqrGOGy3ayMKjEfjYSzbpBQrhSpJYBwJ6ud2v8nTgQ2MT13ewO4OMgrAGhi71xlTBcaLZmCsB+nSTs4N8ZAfBVvwWq41UK1rSlkguWJcbHOxApoZY7f4fULXbbbRGKs6UgD6BWosEcKFtZKZWacovrNrjN20hAb0ib5SqKJWbzQDY+LiO0APjIvVOk4udc8ab7iQ+MjXdtJq9oJu19bb+27LRvvKGMu/y73vduu5SuGfKWUzyy1SCnpXikxc70pnl5Kpdsi0Yt+KVM20RoO9BXoqDSCkNMCuW7RSJrC0iwb9CPl9XbdpdQmcu/NTyg16kVK43ekQQhhNPjY3pQHcfUeZWBChgM+8H9qhkhZlYiHz+68b8ht1KYVx3SvKjLG09qOTUrS0hK65a6LSDntHzzUppVDUGIcDPgjRWnynYh8ryRouMvI6Vm9oWClUTMcKVUZim33luzGQgXG13sDZ5QJ2dyi8A4ApIyt7sc3k64X1Ug2pqPuJNGGsjGXG+OJaCeloULknuf1CKG/ebrW/gO6iMTcSxbdObW5jLVnKq2WMAbnFu3mF1qvWtBem01FcXCtabqCKxXehZoMPVY2mzFitFKqeZoxvmk0DAF5YWOv6Wjfb63KR06tXshOVWgOVeqPn4ri5kRjOr/ReN9DMhLubb7qzg7XznaZcfBc1MnDW7TsvXClGYnqRmd3zXI4XhcbYbnek2pihV1cKlYyxnGudLNtU3TUAPaBM2zKWTuh2he7ex+cTiAR9Xe3tVAJjwLn7ncoiSAiByVS4bWBcJpJSWFv+yus3nZRCaoy9k1LUGxqqdY00Y5ywSUFMKYVixlgIgUjA39ISmiZjHEKtoZkLEX2xD5KMMaDLKa6J4ruzywXUGxp2dbBqA3Rtik+g7eTrBdWMsQyCzMB4vWQG7G6JhfybMirNLJDaiXjvnjE8eeKK4/Z7pdbA8kYF4wm1z9/OX5VyO3kqHcGFtVJTY0wgpajWNVTrDdNTUWoV+yVrcSWQHpteBMZ7xuOIBH14/tx619fmSzUEfKLvi7s+lu41xs2bVW9B2txIFLlyzbxIdkPFCgvQnVpK1YbZ3IDKPzNrseyr1BqoNTTywDgb2yzZAPRFkNuteztyK1K+R6lWR8AnXDvLyAxozxljF/NaFg/3Unynet0YiXVvC71Rdt/wCZCOOZ3nQ5kgMF7K2QNjNUu7qVQEF9vYqRardddyHCsjloyxHFPVXUmZBV3fpDGmmb/WBiJlAncUO+GAvpNhBsZFujqXaMjf0hKaJDCWxbLGDo+8brZr7tYvdrlNLwxkYHxqqbsjBaB3fxpLtF+V9sJaseramgzQbbOy8RAWc/pnuLRewqSCjAJw9jFW7UgnuWfvKNZLNbzokGWUJ+Z4m6YqvWJvmiDp1barF6aNwLhE5UphfK5CpW5OTLcr1my8OdFXCxUI4d7+rhMBvw8HplM9ZYz1ttSBvotz2i1yeqVflxbpTDHfo5wiryqlsBWqVOoNBClu2Ja20Cpb0p1oZ16vsnXvhLXAqaQoCYmEerNrMzPGLhcTY4nwpqYBVlS10pJMNNRVSpEncBPqtmujKgEaT4Y2fV+qzh0TqYgpMbRDVXyXiTYbicidE9UFaNjoPtu0a6N2pWg2ECkTtMZ2ImHZCVstVBEyOmWqEgn4WjXGBMG2TEDJ8081MWXHunjqlcEMjA2rtk7NPSRT6QgudtDMdqJUraNSayiveiaSYUvxXQmTioFlNKivyhqWrG4zMFb7rHeb3fo2yynk39Cu22Cv6Boq5+I7yozxWrFqTiLl4ruQ1PLVzGOOuJz0psYxX8FKQV9Vq1ratOPGGb0Ar9GlAC/XY/c5O8lI0LT9cUOhzyxOv00+Nso1+IT7jItdj1etq2uMAaMA057JIvYxNv2SbRf9XKmqJLmyk4mFTJ2ibi3l/vuxNwloh+piolv3u1KtjqDffeZbko45F0Ba0eee++t2Nh5q6wcsUXVTGUuEsbxRabmOqBYoyoyxkyyKrPgu3mwkIpNJslugW3Sv4eAmKQVVVjcZCUDT9ERRydQve+BYU2pqjNOxoFL7bUnEkByWa3WUqg2S60zTXtEoWFdMTNnJdGlP7sRABsYnL28gGw/11BRhMhXBJZfd78xmForB5ngyjMVcGbV6A0u5slLhHeBciWzqXhUzrhPJCK6bTOCbJy5vek4W5almjJPhAPIO2+/UGWMAOG0sougC4zqWN8rIxIKub5pWKcVyoeKJh7Hkptk08uUaTl/Z6Pi6vEurv3aFlL3SrxtGv00+pLe3qr2g/BurNY0kMLYWfFBpHze/h7OPbr6sZuvo9D7WjLHKlrLZJKBLMZmq28xofHPTACvFCk0xZC9Siny5qjQeI7HNPq92KopthccSYbPoSaJaaDmZCqNYrW9qKa/iUW1nxNJIRJ5TFB0fk5GAp1IKQL/mNItAiTPGFivH1UJV2apNsnssjmMXcqbUjcaurdUu0MwYJ6g0xiGsFap99bsYzMB4Kd9VXyyZSkVcF99RtDQEgHFDn3U5X0FDU7NqA5o3UGuHOiopBQDcs2cM3zm9vKmP/VKeKDB22H6vN/T2omQZ45S+5S53FyKKxXcym1es1LGyoWYVMxILQQh9gutd7+hlFJIbZlMAgOfPd5ZT5MvuFiWqUoqC7LjXY7Y0FQ0gGQ70HBjnXWbCJWaXKEvGOBhQz6xYg0mvpBQj7TTGJTVNq9P7NDvfqWWMg359mzrfRTNbUNwWz3bJGOtOALSuCO1QlVKMOjRAsKNafOdkcadi1wY074P2xFUzA0vjYwzorilUUgqgtQmHFw0+AH2emhljwuI7QJdSWIvvqO5Bd+zM4uTlDfO+SyERHI2H4PcJU48uz3WqzzwSC6JSb3R1drEykIHxqcsbvQfGxpZ6t6pdJ8gC41QYS/myGaCrF981gzSJFOtT2KPcu3cMpWoD3zuz2vK4lFKMKdi1Ac6NB2TWjMqVYiajf8cnl/LwCXetUK2Yi5FyDVc2ykpWMX6fQCYaxJV8GSsbVU8K7yTXTSYRCvjw4kLnArwNFSmFQvGdXNz1msURQmAuG8P8cm9SCtm50i2mxtiQi1SIWpGOxENYK+qWfUXCG7YVed2yb7PnSzUSD2PzfSxZUVWNMQBsz8ZwYrHzDoeKXRsAjBlSlnYe33rGWH2c09EgyrVGx/tPrw1u2uHUGcyO3uDD/bjYs3ZA08nG7TXbDIzXnRuHuOmoZ8fawKFIJKUAWhMCXvgYA/ousFcZ46Q1Y1ysIq1o1Sa5Y8cIAOAfjl0CQBMYB/w+TKUipu3u8kYFyXCA7Pt20xZ64ALjXKmKxVy558B4wmz20H/WWAbGqoM7ngijUmvg+KUcALqMsXWFIycpRSboyO4sfAJ48mSrzngxV8KI4T+pQiKiewLX6k1Lpn61pt2Q3/HCWgnRoF9ZPyVvwIVqnaTrzqih2VstVMiqa50I+n04MJXEC10yxjmXlfEpy5aiGzZc3FznRqI9Z4zPrxbNRZIbmt39msV3VBpjQL8Yq2Y/2xHw6+4L9oxlrlQlzRiPJcJYKVRQrTdQqql36TowncLLFzov5FRdI0YTYWha+3bNpWqDRONqb4Bip1yro1JvKO30ZRMhFKv1jvIT1eI7p8B4KVdGIhxwvThpZ6equuixIq1FL6wVzXlGIaVw0hjT+Rg3rznUMg2JtQB+jXDX8qa5NEIBH7768iIAGikFAMxmojhvCYyzRDIKAOaioB8v44ELjF84r18wD86kenq91PO2s4XphMzCKmeMjeBcBieTacXiO4fA+MpGGSMxmiKuVCSI6fTmRgpLubKyjAJobhVtlJuf302A1IlI0G8GHxQX2LglS68HxmrfQzauV3kvFyqui/h6ZcdovGsgqWcR3UkpKrXGJtlNr2yYN6t+A+NCT5qw+eUCtmVjrj4bsLlLFJVdm1Xm4JWUAjDcLxxcKSg1xjPpCDRNv8aWCBozHJhO4fxqsWPRmrLG2LSAahMYk0kpWltm2zE9pVUyxrFWOysnKooLFtnUyWrZtpgrKxViNzPGtsCYyCoP0D93MhLAyaUN81pDcT9oyRgb1z6KBbN+bGkH19zpJnelCAewsqE3zVgt0mmMwwE/Ds2l8eqi3lSKKjCeyUSwsGYJjAmTSfL+20/3u4ELjJ87p2/vH5rL9PR6lSYf0ttO3ZVC/wzPn19DwCcwphhUOUkpqIJWyVhys2/lUq5s/i0qyADM2t2n4CJA6oYce4oLoczm5Us1rBSqyl13RuMhLKwWUao2eioiVWE63b76W7LhWmNsaHBdZo3NBVEfWZzZTBQblXpXL+O1QhXrpZpZsOcG05WiVEO9oaGhgcbH2FKA6VXxHaAH4NasaKOhIV9xtwhqh+wwKu0RVQOag9N60uNYh6xxsVqH3ydcN1uRVk/2phXm8YmK7zKWrXwn+rUrdMJ6LrVD1ZUiFQ0g5Pe1aIyXcmWMKdxzoiE/UpEAFm33ZtVFjxUhBPaMJ3BiKW9KKSjcX5KRoFmcXzay8T4iZyHp5LBeqpnXR+pF863bR7BequGpk8soVOqkdS6378iaP9MFxlFcXCuh3tBwZYO2YF3On3bXAicGLjA+em4V27LRnlcM0jPYnZRCvZsc0MwYv7SwjolkWHkCWa3DJNSB8biDofsiWca4NQsHWDPGdBcA6UxBcYGVwfXFdX1yqsofsvGQuTXkpcYY0HdNKvVG2xtnvaF3R3NbfAfAdQFeoVyDEP2NkQzEzndp9S69jrdlo64+G6DPNZ/Qz1XZ5IOm+K7Z/fClhXWEAj7z76JkJBZsGfeNSg2apm7raEV+7oXVorJdG6BnjAHg2MVc29cUKw0liZTdAspOicgVQS56pZ2dHdUGNEDzb+kYGCtKKYQQhsVdq5RC1bpz0qE4XtXtwo4MjGXyheJ+kIwEsFGp622mq2qOH5uPLYvvqnj5wjr8PoHdXXo29MtbbpxCJOjDH33zFAAgTXgPunPniPkzRc0ToF9jqnUNl/NlLG+USTPGs4Y3fq/yPGAQA+P5tZ6zxYCenYyF/Li41r+X8XqpinjIr+xlKYPJcq2h3NwDaAZpVru2xVzZ3O6iYCLVGhhrmkYWfNtbUgJWjTFdJms6Q2/6UIoAACAASURBVBcYSymFLPpSzhgbGkcAyMa9lVLIBcKFNnIiuWicdNHq21pB7YZ8uY54qD87tWaGsktgbIzVnELGWAhhWtJVjMCYxK4t3txi/9apZdyyLeONlCIWaslWUgRidqSG+/xqUc8YK+ohJ1NhjMSCHXXGxWpNaSdotEuWtVSh6bzWrsmKhERKYWS/uwbGin+PtB2VUNwPptKR9sV3REmSPRNxXFov49J6GZGgj0RuaCZ3SrpnL5W+GNAL7QI+vYHIM/OruG4ySe5xnggH8KaDU/j7l/QiOarMLgDcbhTgRYN+5XNOMptpBq8rG1VSjXEsFMB4MowzXSxNrQxUYHw5X8b51WJfgbHekz2CSzl3xXcUJ0wqEjBXlJMEUgQZpEmNrgxaJxSL+qyMJ8JYNgpqAL04q1xrKGcIAMv2u6UxhOlOQJox1icTRcARCfogRHNVqVx8Z/l9r6UUU8b30E5nf+aKHkDuyPaflWgWp/XvTJEv1/Cl5y9g32Sir9+bMQL9hZ4zxu4DY0A6b9RQNQphKC72MmM8v1zAC+fXcGRXtstvuHyfeKtdGKWtoyQWCiATC5rSINVmBEKIrgV4qg0gMrEQfAJt20KXakSd12LOziASEilFrHvGWLUlNADMpKPmnCtUasiXa8rSuslUpK3GmCKhAegZYwB4cWGNLMC0di8t1xqkxXFCCKSiulTj6PwqbtnWe7zTD++6dRbSlIVKYwzoc2vfRII02JbJkFcv5VCpN5QTU3Z2ZGPmfbAXBiowNvXFfZ4ok6mwqyYfqu2gJUIIc2Wt2twDsBbf6RdVGbRSZozHk3pGU241UjX3ADZX+gNNP1vKjDGlxlgIgWjQj3Or+uRRDYytv++1lEJmjNvp7M8u6yvl7S4CyKRFD9cv//nvj+NSroRfffvBvn5vLBFG0C9wfrXznJ5fLiIVCShfoHV7waq5EKXYNo0E/YiF/PjKy5fQ0IDDXgXGMb0lrtyezhFkKJ2YSUdxYa2EcpXG5uzAdAqvXMq1t1OrqgXGfp9ANh4yvdntUGS+gWbWbNVDKUUqGkDAJzq2uKbIGEs3GE3TyO4Hkyk9C+3cUY82MD52IUfaWRXQkw1lxeYpTiQjATx/fg3rpRpu2ZYmPbbkvn1jZoBJ7aX/6B3b8ND1E2THk7tS0o+f+p65fTSGsz1agAIDFhg/O78GnwBunO3NkULitskHVcYYaF5AVK3aAEvnO2NlTRm0SmRmWMop5H8p3iPlIKXID7jGGNAzYwtGMKbadWe0JTD2Vkoxlgi3GKTbOXOlgIBPuLI1S1n0cP3w4sIa/vCJU3j88Hbcun2k+y9Y8PkEpi3Zq3bMr6g5UkiktdELC/pFef9Uf9efdozEQjh+KQ+/T+C2Pr+DXsnY7MLkOFFqjAE9o7OwWjTs2tTn24HpFErVBk5d3sDLF9bxtVcWW54vVhuIKF4rtmVjOH3Z+WZI5WMshO5ZvtYmY2xm8BUWKkIIfWegTWDcaGioNdQ7Ns6NRFE07CrlgkJ1B3EqFUG9oeGyxVGD2rt3x2gMAZ9ApU7XQEruRsrFIJVkQCIDYwC4ZZs314aA34d3HJoBAGSIfIwlH7x/Nz757pvIjpeMBJGMBExnL6qud5Lt2Rgurpd67ncxUIHxc+fc6W0m0xEsrpf7avkH6M0BKDLGQPMCMqVo1QY0u0MVjEGUQSuFzEEiA+ClfMn4L917yJuytRq5QFgxLJkiD4z9ZgaLwsdY4rWUwu8TmEyG22qMzy4XMDsSdaWldyqk7IXf/rvjGImF8Atvvr7v9wT0DEIvGmMVRwpJIhxAvlTD986sIBzwma4Jqshz6KbZNKkbixVr5y/AGykFAMxmIji3UkS1rhFljJMAgM89PY9Hf/9JfOKvnmt5vlSpKzeA2DeRwKuLzgV+pZp64C3JxIJtK943iDTfo4b9oxOmNl45Y9xsx06VjJHyv0WLzrhI6EoB6PfL7aP6Z48S3V+sblflmrp8yE4yHISm6YmivRP9Sc364Scf3IN/+9brlQqUt4rZTBQvGwW5qnapdnaMxqBpvRfgDUxgrGkajs6v4ua5/rcVplJ6VX47nVc71r3IGBNojAH9oiEzxlStmq3IY8kLlgxixxM0UpDDO7P4/NEFcwtto1JH0C9IV95yVU9VxCGzDQmCrjsyKEqEA+TZBiem0hFcXHee9GeXC65kFIBzIWUvvLiwhgf2jyPtMluu6x3b7wJpmoZzK0WSC34iEkCuXMP3zq7gptk02XhJZxOv9MX6e7T66MoFDHVgPJ2Jmsem2ALfO5FAwCfwB18/iVy5hqVcuSWboyqlAPSukJfzlU3a3HpDQ6XWIJFSAHox0hOvXWmxp5TkyzX4+nRlcWIk1r77XbNJhNp5a63eXzJqdigyxkBr/QN18R3QlFNQ7UhGQ35kYkFcWCvqxXceZIwBvWEGRbFgOyZSEXzo/j3KDbC2gplMFBXjXKbWGG836mukrLAbAxMYn1spYqVQ7VtfDDTlC/02+SCVUhgBJYUrBaBnVmWW1QxavcgYSylFvoxQwIdUlOaG+t4j23HmSgHfPKF31yuUa+SVt9GQH9dNJnruktgNGRhTWMVI+QS1tqsd04YG1IkzVwrYMeouMA76fYgG/X1JKQqVGi6tl7Fr1P24zGSiuLheaumeaGUppxfFUEgpkoYZ/gvn13HbDrptzawx9l7pi4HNndfkOJFrjC1WcxRuDuGAHwemU5hIhvFTD+8F0Hr9LlTUrxcyE/fqpdassWzYQBWYPX54O4rVOj7/zPlNz+VKun+4amCSTbQPjCvkgXEBi7kyAj6hrPWcdOgzYDb4ICxok4ExpVf4dDrqocZYvzZ4JaMYRmYt1xjqbrHy/tdrAd7ABMZSW3LTbP8Z43YddjpRqtaxUamT+eXds3cUh3dlMTdCs2WRjYdMm5ulfBkhv4+0CjQc8CMdDZrZ6HPLRcykI2Qry7fcOIWRWBB//u0zAPSMMaW+WPLln7kfH7hvN8mx5I2Y4pwI+H3IxIKeF95Jpto0+VgrVLFWrLrOGAOtXaB6Qeo6dyl4c85koqg3tBb7KCumIwWRlGKlUEWl3sBt2+kqxLPxMIQA7tjhfWAsg6Z8SfeNpuowKZm16NOpiqZ+/32344s/9QbctWcUQKsLCUWHvesmdbmG7NJlPTZAE+ADwM1zGdw4m8L/+tbZTfMvX6ZptjIa7xAYE0kpUpEg0tGgkTEuYyyh7sk/ngwjFvLjNcsYyLbiVA0zAGCPca2hTL5MpyNYWC0ZPsbEUgojY+yVI8UwIhffoYCPPFYYjYcQC/l7LsAbmMD42MUchAD2TST7/t2pLlX5TsiLsJuCJCfu3JnFX374brIJtH8qieNGpkP6SVJvh4wnw6aU4tjFdfNGQkEk6Md7bpvD3714CU+dvIJn51c90VlSficy20C1jTMaD5GvfNsxlYqgUKlvco+QF4LtLqzaJIlIoK92mqcNv8idChlj6VHdrgBP/l1UUgoJZZHcj92zA7/7+G2u5SS90PTR1YOm9VINiXCANOgAbBljosB4NhPFRDJiZoqsDV2K1TqiIbXb03Q6gkQ4sClj7EWL7vce3oFjF3N4Zn615fF8qUbiKZ2Nh7BWrJr2mlYqhDaDsh37Yq6MCRe+53b8Pt2a70WjsBUwPKSJNbt7Jugzxro8rUTuYww0fYU5MG4iY7HReIg81hFCYHs2hrPDljE+fimHnaNxV9tbE8kwUpEAvmKYWfeC1C/OpAdTlH7dZBIX1kpYK1aVW3O2YyIZxlJe1/advlLA9VN0gTEAPH5kO2oNDY99+ilcWivh49+3j/T41FBKKQDgl99+ED/9fXtJjtUNq72QlTOGpsqtlALQd3H+6fhSzy01T102AmMFiYsMlhbayEPml/UgSqW5h0TKDmYzUVKv8B2jcbzt5mmy4zkhbeFkfQVVhtLORDJiaiGpt5WnHBrUqPoYA/rNcO9EwiFjTK9xfeSWGcRDfvz5t862PL5RqZHIWuRi3epZLTEDY7/63zM3EsX51SJpQ6kbZ1J4aWHdrDeh0I/b2TOmB8aUYzqdimB5o4L1Ug1hgqY/Vn7o9jl88t03kdi7XivIaz5l1zsrO0ZjODNsGeNXLuaw32XGMuj34cMP7ME/HFvEd8+s9PQ7zYzxYAbGMkg9filH0prTifGk3v3utcU86g0N1xEHxnvGE/iJN+zC++7agX/8xIN4xLCOGVRkRTNV152H9k+09JX3knZexlJTpSKl+PjD+1Cq1vF7XzvR0+tPX97AeDKsFBBMd2nyMb9cwHgyTJJ5kpZ0lPrirWQkFrK4UlTJrdoAPfMnC6mos33hgB9jibA51pqmkQVP+yYSOH6pNTCWGlfK7fFEOIC33DiNf3i5NTmTK9WQIBgPufPkJKeQj1FI7eZGYmbxHUXGGABumEljo1I3d5KK1QZpAAsA6VgQjx/ejgf303nryqB1KVcmzxhvy8bw+OHtpMccdmY8D4zjOLtcaPHUbsdABMaapm+/qgRmP37PTowlQvitL7/S0+vPrxYhBE1DDi/Yb3wXxy7myFo125kwAuNXDIsU6owxAPzK2w/i1995I8YIm5N4hdQ1ZbdIF0xJM2PcGkievVLAWCKsJGPZO5HAe26bw58+daartzCgz2WVwjtAL05JRQLtA+OVArYR6fnlVjelvngrycSCpsdtvkyzde+E3OqkDhIAXcMspRSmBpggeNo3mcDlfLnFA5i6+E5yYDqJlUK1JXjNl2tIhNXfJ9shMD63Qicrms1EUajUcTlfIcsY32D0JXhxQe90WKzUyHcdAOCT774JD1w3TnY8a9KMWmPMbGYiGTYb83jBtmwMlVqjbd2KlYEIjEu1OhqaWmAWDwfw0Yf24smTV/DEa5e7vv7CWhETyTCCxFskVEynI0hGAnhpYQ1XNuguUlbGk2EUq3V87+wKQn4fdigGM8MOtZRiK5lIRiAENjlT6FZt6jfMn37jPmiahk999dWurz11eYPEKUQ2lXDi7BX3FnR2do7GEfQLvGHvGMnxtppsPGRKKXKlGrlVm0QGCtQZY3lsOdZSAxyjyBg7FOBRF99JpDPCyaXme+VLVFIK/frvFBjPr+hJnmkCWaC1eHycSFa0byKJoF/ghYU1VGoNPH1mxUz8DDLWpJkXgTzTSsDvww8emsH9++gWN1Z2ZKUzRXfLtoEYban5Ui3+eu+R7ZhIhvGnT57p+tqF1dLAyigAXR+3fzKJJ17T7c68yBjLY/7zq5exZyIxsIuErUJKKai77mwFoYAPY4nwJo3x2eUCyYJnbiSGRw7N4ovPXejYSCdXquJyvqKkL5bowdJmjXGhUsPCWskMRFQ5OJPCi//+LWYQNWxkYiGz+C5HFIg5IQMvSpst67EvGK4qlD63+6Rlm6XRh2kXRhzg7zacEU4uNW+8G+UaEmF1iUPHjPFyAdOpCFHxXXOxSSXfCwV82D+VxIvn1/GN15awWqjiHTcPtqwOaHowAxwYbxW/88O34D23z3lybNOyrQed8UCMdqmq93nfqVAgBOjbHXftHsXRc6tdX7uwWhzYwjvJdVNJs/reC43xhNGM5OxyAfsnveu+MyzEwzJjPPiyDyem05GWjHG5VsfCWpEss3rbjgxypVrH7kGmVduY+nvOZCJYcOh+JwOPPYQdo7aiCYtXjMSCtoyxNy4Y0rKNqpWvlZmM7qqyVqySBq6zmSjiIT9eteiMCx4U3wF6UBny+3Disv5ejYaGfIVG2iLdR67knaQURZIiVKDpZQzQJmNunEnjxYU1fOHZBaSjQdxPKHnwing4gJQxdtSd75itZyYTRdAvcMJWjOvEQNwNStU69k0kXLWstXNoWwYX1kot7YjtaJqG86tFMqs2r7BKS7zMGAPA/imaNrjDzFQqgqBfDPx50Y6pVKQlYzy/XICmqTlSWJGtkl++sN72NaeuqDtSSGYyUawWqmZbXckJY6uaKmM87GRiupVXrd4wiu+8yRi//eYZfOLN+8ka6lixWraVCFsGS2eKf3xlEd8+tYynTl7Br3/xJSTCAdP/ngq/T2DnWAwnFvU5UKjWoWkgcQkJGj72Tq4U8ysFzBG1/E1Hg2YwSJmMuWEmhZVCFX/z/AW89aapoVmIyl0SzhgPP0G/DzfMpPHM2e6J04EY7XK14dqRws4ho6X00XNrbV+zUqiiXGsMtJQCaJWWeBIYW3TLXhTeDRtvPDCJr//8Q2YmfdiYTkdwbqVgFhf97fMXAege2xTsn0pCCOClDoHxacOqbYeCb7Jkt2HB9L2zrU4zJ5Y24BN0Af+wI6+dXz22iHKt4YldG6A7I3z0ob2etJeV1+KF1RJ5y+CPPbwP+VINj/7Bk3js008hGQ7grz5yN2nDJMnusQROGhnjvOEpTuXfPhoP4YpNSlGu1XFxvUTS6EYyaxyLsmD6BqNxV7Wu4R0D7k5kReqMOTC+Nrh9xwiOnls1LQ7bMRCjXW00yMT4N8zovcef6yCnGHSrNonXGeNMLIigX7/JUVu1DSM+nyApYLlavPHgJDYqdXz+2QU0Ghr+8rvzuGfPKEnbZEDvKrVrLI6XFjoHxjPpCElQ8+D+cYzEgviLb7d6w55YymNbNuZJEdgw8qYbJjGZCuNTX30NADxzpfASa0MXuetBpZX+/oOT+MYvPIxfe8dBvP/eXfj8x+7F9R7tkO0ej+PslQKq9QbyZaM9N9F4ZOMhLNukFBdWS9A0kHVcBfRjpaNB0vl1YCoFn9Cz0Ed2jZId12tMJxZ2pbgmuGPHCMq1RkvDGScG5gpKFRhHQ35cN5nEs/PtA2NpCzToGuNMLITJVBglD1pSAvo243gijFyphpkBta1jeucNe8dwYDqF//71k5hJRzG/XMTPvWk/6XscnE51nFsnL2+QyCiAZvfEP/rmaSzmSmYm/8RinmUUFoJ+H3707p34T4ZVpVcaYy8Zi4cR8vuwsFbEV48tYioVwU1GlpGCaMiPH793F9nx2rFnPIFaQ8PZ5QLyZT3zTZXB3zuRwBeOLmB5o2IW45mt0YkWvwDwI0e248guWv/1aMiPt908g5tn02ajmGFgKmVIKTzQ1TNbj/Sq79bvYmBGm9K+5ZZtaTx3bq1t9Tx1O2gvOTid8jSzPZOJ4sBMypPtUWZrEULgQ/fvwquLefy7//c80tEg3nzDFOl7HJxJ4dxK0bFFdL2h4eRSnlSDKrsnfu7pc+Z7nLq8gd0e6FyHmccPbze3e71ypfASn09gOhPBt08t4+uvLuHRO7eR1JxsNVZnCnmfSUVpxuMD9+1CsVrHZ75xynxMFsJSZowf3D+BD9y3m+x4kk89fis+eD/9cb1kmqUU1xSTqQjmRqKb5Hl2BmK0Z9LRFmsUVQ7NZbBWrJpdv+xcWCshHPANhV/tf3jXTfjU47d4dvzf/KGb8Vs/dMiz4zNby9tvnsFUKoIzVwp45y0z5HIDWYB3zEFnfPTcKtZLNRzZTbdVumc8gbt2Z/HZ75xFo6FhYbWIcq1B6khxLZCNh/CuW2cBwCyeGjZm0lE8c3YVAsBjd2672h/HFbuNnYwTS3n82VNnjMw3TeOYvRNJvPXGafzxN0+bC9P55QICQy4BG2SaGmOWUlwr3L5jBE+fHoLAeDQRIs1Y3jynX4ja2badXy1iNhMdiizpbCaKvRPe6X93jyewnYuYrhmCfh8+cN8uCAH88J30LUdlYOxUgPe1Y4vwCeD+fbSNMt57ZAfml4v4p+NLeI0dKdryrx/YgzfsHcP108PpMCN1xg/tnxj4+o92pKNBjCXC+JvnLuCbJ67g/W/YSerA8NGH9iJXruGPv3kagN7cYyYTHSp5wjBxeFcWH3toL47sppWWMFeP23eMdO1+NxCBMTXXTSYQCfpwdN5ZYL2wWjQvwgxzrfH+e3fhK//mARycoQ+QxpNhjCVCjgV4//jKEm7bPoIMcUvtt9wwhel0BL/3TydMD8o94yylsLNzLI4/+8CRodgJc0Jatr33CP2CbivZPR7H8+fXkAgH8Nhh2r/l4EwKbzwwic88cQr5cg3nVgqkMgqmlUjQj597837EQsO5C8Ns5nZDZ9yJazIwDvh9uHEm3VZHMgzNPRjGLT6f8CyjKoTAgenUpozx4noJz59fw0PXT5C/Zyjgw4fu341vn1rG//neeWRiwaEN/pj2vO3mabz/3l14cD/9ObSVyEXb44e3IeVBIeTHH96L1UIVf/bUGcwvF0mt2hjmWmf/ZBLxLq5J12RgDAD3XzeOo+dWzQIISbXewGKuPLRbdQxztTk4k8LxSzmzQxkAfO34EgB9G9wLHrtzO7LxEF6+sI4944mhkEEx/XH9VAq/+o6DQy8LODSXQTTox7/yyAXj0LYM7r9uHJ/++klczpexjai5B8O8Hgj4fXjzjZ2L0q/ZwPiRQzPQNOCLzy20PC67gQ2DIwXDDCIP759Ata7hr48259bXXtEttg5Me6OHj4b8+Ik36IEGyyiYQebRO7bhqV/6Pk+TLx9/eC+WjWYfVO2gGeb1wu882tnQwLPAWAjxFiHEK0KI14QQv+jV+7Rj51gch+bS+MLR1sD4M0+cQtAvcM8e2gIhhnm9cHhXFvsnk/iTp05D0zSUqnX88/HLeOj6cU8zuf/yrh2YzURxF6HrBcNQ4/MJpGPeeknfuTOLu4yCMM4YMwwtngTGQgg/gP8G4AcAHATwuBDioBfv1Yl3HJrBC+fXccKoZD97pYDPfnsej925ndQQnWFeTwgh8L67d+CF8+t4Zn4Vv/Gll5Er1/DIoVlP3zcdDeIbv/AQ3n3bnKfvwzDDwC/+wAF9kepRFz+Geb3iVcb4MIDXNE07qWlaBcBnAfygR+/VlnccmoEQwBee1bPG/+UrxxHwC3z84b1b/VEY5priXbfOIhkO4BOfO4o/efIMPnjfLty9x/tMLmuLGUbnlm0Z/OWH7x7Khi4MM8h4NaNmAcxb/v8cgCMevVdbJlMRHNmVxR8/eRrfO7uCb7x2GR+6fzcmCJuJMMzrkXg4gPfcrrdrvmVbBj//luuv9kdiGIZhGGW8yhg7pXVa+jMLIT4khHhaCPH00tKSRx8D+MkH92L3WBy5Ug337RvHRx7Y49l7MczriQ/dvxvvvGUGv/veWxEcwva9DMMwDGNHaJrW/VX9HlSIuwH8mqZpbzb+/5cAQNO0Tzq9/o477tCefvpp8s/BMAzDMAzDMFaEEN/VNO0Op+e8SvN8B8A+IcQuIUQIwGMAvuDRezEMwzAMwzCMMp5ojDVNqwkhPgbgywD8AD6jadqLXrwXwzAMwzAMw1DgWTmrpmlfAvAlr47PMAzDMAzDMJRwxQzDMAzDMAzDgANjhmEYhmEYhgHAgTHDMAzDMAzDAODAmGEYhmEYhmEAcGDMMAzDMAzDMAA4MGYYhmEYhmEYABwYMwzDMAzDMAwADowZhmEYhmEYBgAHxgzDMAzDMAwDgANjhmEYhmEYhgHAgTHDMAzDMAzDAODAmGEYhmEYhmEAcGDMMAzDMAzDMAA4MGYYhmEYhmEYABwYMwzDMAzDMAwAQGiadrU/A4QQawBe9eDQaQBrHhx3DMBlD47rxef16jsYtuN6MWbD9h0M0/k1THPMq+MO02cFhmvMhu27HaYxG7bvYJiOO0xzbNCPu0PTtHHHZzRNu+r/AHx6yI779LB83iH8bodmzIbwOxim82to5tgQfrev+zEbwu92aMZsCL+DoTnuMM2xYTyu/DcoUoq/HrLjeoUXn3fYvtthGrNh+w6G6fzyCv5uecy8OuYwHtcLhu07GLbjesGwfQeefrcDIaUYNoQQT2uadsfV/hxM7/CYDRc8XsMHj9nwwWM2XPB4bQ2DkjEeNj59tT8A0zc8ZsMFj9fwwWM2fPCYDRc8XlsAZ4wZhmEYhmEYBpwxZhiGYRiGYRgAHBgDAIQQnxFCLAohXrA89r+FEM8a/04LIZ41Hv9+IcR3hRDPG/992PI7txuPvyaE+K9CCHE1/p7XA32O2Y9YHn9WCNEQQtxiPMdjtkW0GbNbhBBPGePytBDisPE4z7OrTJ/jxXNsAGgzZoeEEE8aY/DXQoiU8TjPsQGgzzHjebYVeGl5MSz/ANwP4DYAL7R5/rcB/Krx860AZoyfbwRw3vK6bwO4G4AA8LcAfuBq/23X6r9+xsz2+E0ATvKYDcaYAfg7+Z0DeCuArxk/8zwbovGy/R7PscEas+8AeMD4+f0Aft34mefYAPzrZ8xsv8fzzKN/nDEGoGna1wEsOz1nrLoeBfAXxmuf0TRtwXj6RQARIURYCDENIKVp2pOafpb+CYB3ev/pX5/0M2Y2HpeP85htLW3GTAOQMn5OA1gwXsvz7CrTz3jZ4Dl2lWgzZvsBfN34+e8BvMd4Lc+xAaCfMbPB88wjAlf7AwwB9wG4pGmaU2e+9wB4RtO0shBiFsA5y3PnAMxuxQdkNtFpzH4YwA8aP/OYXX1+BsCXhRC/BV3adY/Da3ieDQ69jBfPscHiBQCPAPg8gH8BYJvDa3iODRa9jBnPM4/gjHF3zFWZFSHEDQD+I4APy4ccfpctP64O7cbsCICCpmlSy8VjdvX5CICf1TRtG4CfBfA/rU/yPBs4uo0Xz7HB4/0APiqE+C6AJICK9UmeYwNJtzHjeeYhnDHugBAiAODdAG63PT4H4P8C+FFN004YD58DMGd52RyctxkZD2k3ZgaPoTVg5jG7+vwYgJ82fv4cgP8hn+B5NpC0HS8DnmMDhqZpxwC8CQCEENcBeJt8jufYYNJpzAx4nnkIZ4w780YAxzRNM7cohBAZAH8D4Jc0TXtCPq5p2gUAOSHEXYbG9Uehb4MwW8umMQMAIYQP+pbUZ+VjPGYDwQKAB4yfHwbwKsDzbIBxHC+A59igIoSYMP7rA/DLAH7f+H+eYwNKuzGzPMbzzEM4MAYghPgLAE8C2C+E0urPygAAANVJREFUOCeE+AnjKfuqDAA+BmAvgF+xWKZMGM99BHoG5TUAJ6BXhjIe0OeYAXrl7zlN007aHucx2yLajNkHAfy2EOIogN8A8CHj5TzPrjJ9jhfAc+yq02bMHhdCHAdwDPrC5g+Nl/McGwD6HDOA55nncOc7hmEYhmEYhgFnjBmGYRiGYRgGAAfGDMMwDMMwDAOAA2OGYRiGYRiGAcCBMcMwDMMwDMMA4MCYYRiGYRiGYQBwYMwwDMMwDMMwADgwZhiGYRiGYRgAHBgzDMMwDMMwDADg/wMhDwStJ66jwQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dta.plot(figsize=(12,8));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(dta, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3/dist-packages/statsmodels/tsa/base/tsa_model.py:159: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  warnings.warn('No frequency information was'\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "const                49.659523\n",
      "ar.L1.SUNACTIVITY     1.390656\n",
      "ar.L2.SUNACTIVITY    -0.688571\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "arma_mod20 = sm.tsa.ARMA(dta, (2,0)).fit(disp=False)\n",
    "print(arma_mod20.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3/dist-packages/statsmodels/tsa/base/tsa_model.py:159: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  warnings.warn('No frequency information was'\n"
     ]
    }
   ],
   "source": [
    "arma_mod30 = sm.tsa.ARMA(dta, (3,0)).fit(disp=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2622.636338065289 2637.5697031728796 2628.606725910535\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "const                49.749898\n",
      "ar.L1.SUNACTIVITY     1.300810\n",
      "ar.L2.SUNACTIVITY    -0.508093\n",
      "ar.L3.SUNACTIVITY    -0.129650\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2619.403628696713 2638.070335081202 2626.8666135032704\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Does our model obey the theory?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.956480768899294"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.stats.durbin_watson(arma_mod30.resid.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax = arma_mod30.resid.plot(ax=ax);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "resid = arma_mod30.resid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NormaltestResult(statistic=49.84503952862609, pvalue=1.5006768784454912e-11)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.normaltest(resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "fig = qqplot(resid, line='q', ax=ax, fit=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(resid.values.squeeze(), lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q      Prob(>Q)\n",
      "lag                                    \n",
      "1.0   0.009179   0.026287  8.712021e-01\n",
      "2.0   0.041793   0.573041  7.508716e-01\n",
      "3.0  -0.001335   0.573601  9.024484e-01\n",
      "4.0   0.136089   6.408916  1.706207e-01\n",
      "5.0   0.092468   9.111821  1.046863e-01\n",
      "6.0   0.091948  11.793233  6.674372e-02\n",
      "7.0   0.068748  13.297188  6.519011e-02\n",
      "8.0  -0.015020  13.369216  9.976172e-02\n",
      "9.0   0.187592  24.641898  3.393924e-03\n",
      "10.0  0.213718  39.321988  2.229480e-05\n",
      "11.0  0.201082  52.361135  2.344952e-07\n",
      "12.0  0.117182  56.804187  8.574263e-08\n",
      "13.0 -0.014055  56.868324  1.893903e-07\n",
      "14.0  0.015398  56.945563  3.997661e-07\n",
      "15.0 -0.024967  57.149318  7.741472e-07\n",
      "16.0  0.080916  59.296767  6.872169e-07\n",
      "17.0  0.041138  59.853736  1.110945e-06\n",
      "18.0 -0.052021  60.747426  1.548433e-06\n",
      "19.0  0.062496  62.041689  1.831645e-06\n",
      "20.0 -0.010301  62.076976  3.381245e-06\n",
      "21.0  0.074453  63.926652  3.193588e-06\n",
      "22.0  0.124955  69.154771  8.978353e-07\n",
      "23.0  0.093162  72.071035  5.799780e-07\n",
      "24.0 -0.082152  74.346688  4.713014e-07\n",
      "25.0  0.015695  74.430043  8.289039e-07\n",
      "26.0 -0.025037  74.642902  1.367283e-06\n",
      "27.0 -0.125861  80.041149  3.722564e-07\n",
      "28.0  0.053225  81.009981  4.716277e-07\n",
      "29.0 -0.038693  81.523807  6.916630e-07\n",
      "30.0 -0.016904  81.622226  1.151661e-06\n",
      "31.0 -0.019296  81.750938  1.868765e-06\n",
      "32.0  0.104990  85.575066  8.927952e-07\n",
      "33.0  0.040086  86.134568  1.247508e-06\n",
      "34.0  0.008829  86.161811  2.047823e-06\n",
      "35.0  0.014588  86.236448  3.263805e-06\n",
      "36.0 -0.119329  91.248900  1.084453e-06\n",
      "37.0 -0.036666  91.723869  1.521921e-06\n",
      "38.0 -0.046193  92.480518  1.938732e-06\n",
      "39.0 -0.017768  92.592887  2.990674e-06\n",
      "40.0 -0.006220  92.606710  4.696977e-06\n"
     ]
    }
   ],
   "source": [
    "r,q,p = sm.tsa.acf(resid.values.squeeze(), fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), r[1:], q, p]\n",
    "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
    "print(table.set_index('lag'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* This indicates a lack of fit."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* In-sample dynamic prediction. How good does our model do?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1990-12-31    167.047401\n",
      "1991-12-31    140.992972\n",
      "1992-12-31     94.859076\n",
      "1993-12-31     46.860863\n",
      "1994-12-31     11.242552\n",
      "1995-12-31     -4.721323\n",
      "1996-12-31     -1.166941\n",
      "1997-12-31     16.185657\n",
      "1998-12-31     39.021841\n",
      "1999-12-31     59.449824\n",
      "2000-12-31     72.170091\n",
      "2001-12-31     75.376732\n",
      "2002-12-31     70.436411\n",
      "2003-12-31     60.731545\n",
      "2004-12-31     50.201761\n",
      "2005-12-31     42.075996\n",
      "2006-12-31     38.114257\n",
      "2007-12-31     38.454611\n",
      "2008-12-31     41.963779\n",
      "2009-12-31     46.869245\n",
      "2010-12-31     51.423214\n",
      "2011-12-31     54.399670\n",
      "2012-12-31     55.321643\n",
      "Freq: A-DEC, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "predict_sunspots = arma_mod30.predict('1990', '2012', dynamic=True)\n",
    "print(predict_sunspots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "ax = dta.loc['1950':].plot(ax=ax)\n",
    "fig = arma_mod30.plot_predict('1990', '2012', dynamic=True, ax=ax, plot_insample=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mean_forecast_err(y, yhat):\n",
    "    return y.sub(yhat).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.636994490394947"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_forecast_err(dta.SUNACTIVITY, predict_sunspots)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: Can you obtain a better fit for the Sunspots model? (Hint: sm.tsa.AR has a method select_order)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simulated ARMA(4,1): Model Identification is Difficult"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.arima_process import ArmaProcess"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(1234)\n",
    "# include zero-th lag\n",
    "arparams = np.array([1, .75, -.65, -.55, .9])\n",
    "maparams = np.array([1, .65])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's make sure this model is estimable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "arma_t = ArmaProcess(arparams, maparams)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arma_t.isinvertible"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arma_t.isstationary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* What does this mean?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(arma_t.generate_sample(nsample=50));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arparams = np.array([1, .35, -.15, .55, .1])\n",
    "maparams = np.array([1, .65])\n",
    "arma_t = ArmaProcess(arparams, maparams)\n",
    "arma_t.isstationary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "arma_rvs = arma_t.generate_sample(nsample=500, burnin=250, scale=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(arma_rvs, lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(arma_rvs, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* For mixed ARMA processes the Autocorrelation function is a mixture of exponentials and damped sine waves after (q-p) lags.\n",
    "* The partial autocorrelation function is a mixture of exponentials and dampened sine waves after (p-q) lags."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC           Q      Prob(>Q)\n",
      "lag                                     \n",
      "1.0   0.254921   32.687677  1.082212e-08\n",
      "2.0  -0.172416   47.670746  4.450707e-11\n",
      "3.0  -0.420945  137.159392  1.548466e-29\n",
      "4.0  -0.046875  138.271301  6.617704e-29\n",
      "5.0   0.103240  143.675907  2.958722e-29\n",
      "6.0   0.214864  167.132998  1.823719e-33\n",
      "7.0  -0.000889  167.133400  1.009206e-32\n",
      "8.0  -0.045418  168.185752  3.094836e-32\n",
      "9.0  -0.061445  170.115802  5.837217e-32\n",
      "10.0  0.034623  170.729854  1.958737e-31\n",
      "11.0  0.006351  170.750556  8.267056e-31\n",
      "12.0 -0.012882  170.835909  3.220234e-30\n",
      "13.0 -0.053959  172.336547  6.181197e-30\n",
      "14.0 -0.016606  172.478964  2.160215e-29\n",
      "15.0  0.051742  173.864487  4.089547e-29\n",
      "16.0  0.078917  177.094280  3.217936e-29\n",
      "17.0 -0.001834  177.096028  1.093168e-28\n",
      "18.0 -0.101604  182.471937  3.103824e-29\n",
      "19.0 -0.057342  184.187771  4.624067e-29\n",
      "20.0  0.026975  184.568285  1.235671e-28\n",
      "21.0  0.062359  186.605962  1.530259e-28\n",
      "22.0 -0.009400  186.652364  4.548196e-28\n",
      "23.0 -0.068037  189.088184  4.562011e-28\n",
      "24.0 -0.035566  189.755201  9.901096e-28\n",
      "25.0  0.095679  194.592622  3.354290e-28\n",
      "26.0  0.065650  196.874876  3.487623e-28\n",
      "27.0 -0.018404  197.054612  9.008749e-28\n",
      "28.0 -0.079244  200.394008  5.773714e-28\n",
      "29.0  0.008499  200.432501  1.541386e-27\n",
      "30.0  0.053372  201.953775  2.133192e-27\n",
      "31.0  0.074816  204.949394  1.550162e-27\n",
      "32.0 -0.071187  207.667241  1.262289e-27\n",
      "33.0 -0.088145  211.843155  5.480817e-28\n",
      "34.0 -0.025283  212.187449  1.215228e-27\n",
      "35.0  0.125690  220.714897  8.231613e-29\n",
      "36.0  0.142724  231.734118  1.923082e-30\n",
      "37.0  0.095768  236.706160  5.937782e-31\n",
      "38.0 -0.084744  240.607802  2.890887e-31\n",
      "39.0 -0.150126  252.878983  3.963000e-33\n",
      "40.0 -0.083767  256.707740  1.996172e-33\n"
     ]
    }
   ],
   "source": [
    "arma11 = sm.tsa.ARMA(arma_rvs, (1,1)).fit(disp=False)\n",
    "resid = arma11.resid\n",
    "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), r[1:], q, p]\n",
    "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
    "print(table.set_index('lag'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q  Prob(>Q)\n",
      "lag                                \n",
      "1.0  -0.007889   0.031302  0.859567\n",
      "2.0   0.004132   0.039907  0.980244\n",
      "3.0   0.018103   0.205418  0.976710\n",
      "4.0  -0.006760   0.228543  0.993948\n",
      "5.0   0.018120   0.395028  0.995465\n",
      "6.0   0.050688   1.700454  0.945086\n",
      "7.0   0.010252   1.753962  0.972196\n",
      "8.0  -0.011206   1.818023  0.986091\n",
      "9.0   0.020292   2.028522  0.991008\n",
      "10.0  0.001029   2.029065  0.996113\n",
      "11.0 -0.014035   2.130174  0.997984\n",
      "12.0 -0.023858   2.422929  0.998427\n",
      "13.0 -0.002108   2.425220  0.999339\n",
      "14.0 -0.018783   2.607432  0.999590\n",
      "15.0  0.011316   2.673700  0.999805\n",
      "16.0  0.042159   3.595423  0.999443\n",
      "17.0  0.007943   3.628208  0.999734\n",
      "18.0 -0.074311   6.503855  0.993686\n",
      "19.0 -0.023379   6.789068  0.995256\n",
      "20.0  0.002398   6.792074  0.997313\n",
      "21.0  0.000487   6.792198  0.998516\n",
      "22.0  0.017953   6.961436  0.999024\n",
      "23.0 -0.038576   7.744467  0.998744\n",
      "24.0 -0.029816   8.213250  0.998859\n",
      "25.0  0.077850  11.415822  0.990675\n",
      "26.0  0.040408  12.280446  0.989479\n",
      "27.0 -0.018612  12.464274  0.992262\n",
      "28.0 -0.014764  12.580184  0.994586\n",
      "29.0  0.017649  12.746188  0.996111\n",
      "30.0 -0.005486  12.762261  0.997504\n",
      "31.0  0.058256  14.578540  0.994614\n",
      "32.0 -0.040840  15.473079  0.993887\n",
      "33.0 -0.019493  15.677305  0.995393\n",
      "34.0  0.037269  16.425462  0.995214\n",
      "35.0  0.086212  20.437443  0.976296\n",
      "36.0  0.041271  21.358841  0.974774\n",
      "37.0  0.078704  24.716872  0.938949\n",
      "38.0 -0.029729  25.197050  0.944895\n",
      "39.0 -0.078397  28.543385  0.891179\n",
      "40.0 -0.014466  28.657575  0.909268\n"
     ]
    }
   ],
   "source": [
    "arma41 = sm.tsa.ARMA(arma_rvs, (4,1)).fit(disp=False)\n",
    "resid = arma41.resid\n",
    "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), r[1:], q, p]\n",
    "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
    "print(table.set_index('lag'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: How good of in-sample prediction can you do for another series, say, CPI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "macrodta = sm.datasets.macrodata.load_pandas().data\n",
    "macrodta.index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))\n",
    "cpi = macrodta[\"cpi\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Hint: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax = cpi.plot(ax=ax);\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "P-value of the unit-root test, resoundingly rejects the null of a unit-root."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.990432818833742\n"
     ]
    }
   ],
   "source": [
    "print(sm.tsa.adfuller(cpi)[1])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2rc2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
