Convergence.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"6px\" font color=\"blue\" face=\"Times New Roman\"><b> <center> CONVERGENCE TEST </b> </font> </center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "################PACOTES################\n",
    "% matplotlib inline\n",
    "import numpy as np\n",
    "from numpy.linalg import inv\n",
    "import math \n",
    "from math import sqrt\n",
    "import pylab as py\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "from random import shuffle\n",
    "import scipy as sp\n",
    "from scipy import misc\n",
    "from IPython.display import Latex\n",
    "#####################################"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "O objetivo deste notebook é realizar os testes de convergência da minha rede neural."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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     ]
    }
   ],
   "source": [
    "convergencia=np.loadtxt(fname='conv.txt')#dado de convergência gerado pelo koho.f95\n",
    "print(convergencia)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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sLKV8oZTy2NnO2gmHPys59KltpwAAAABopM05m56aZOOo19eNev7aJGcleXWS\nq5O8KslFpZTja623zl7EDjjxjW0nAAAAAGiszWLTf9Va149dWErZM71i01tqref2l12S5PokL0/y\nhtkM2br1P+g9Ljqq3RwAAAAADXRxzqZTkuyb5EODBbXWe5NcmOQZbYVqzSUvTL760rZTAAAAADTS\nZrHp+6WUbaWU75ZSfmfU8mOTbE9y7Zjtr+qv272UuUkdaTsFAAAAQCNtDKO7Jb35mL6WZG6SFyT5\nm1LKwlrrO5Lsn2R9rXX7mP3uSrKwlDK/1rplVhO36bRPJ6W0nQIAAACgkVJrbTtDSin/nOT0JIck\neV2SV9da9xuzzUuT/F2SBeMVm0opK5KsSJJDDz30pAsuuGDGc8+k9evXZ9GiRW3HgM5zrUBzrhdo\nxrUCzbhWoJkH07Vy2mmnXV5rPXmq7dqcIHy0f03yvCRHpteDaVEpZe6Y3k37J9kwUa+mWut5Sc5L\nkpNPPrkuW7ZsZhPPsDVr1mTZsmXJ5a9Ktv00edLftR0JOum+awWYkusFmnGtQDOuFWhmd7xWujJB\n+OjuVVenN7zu6DHbHNtft3u556rkrm+1nQIAAACgka70bHpOkjuT3JDenE73JHlukjcnSSllYZIz\n0++5tFs55mXJ9k1tpwAAAABoZNaLTaWUf01yaZLv9N//+f32ylrrSJJNpZSzk5xVSrkrvd5Mr0qv\nF9a7Zztv6x76q20nAAAAAGisjZ5N1yT530kelqQkuTLJC2ut/zhqm7PTKy69LsmBSS5Lckat9bZZ\nztq+2z6XbL1H0QkAAAAYCrNebKq1vj7J66fYpiZZ1W+7t+++O/nptYpNAAAAwFDoypxNTGTvI5OM\ntJ0CAAAAoBHFpq476R1tJwAAAABobE7bAQAAAAB48FBs6rpLX5x87FFtpwAAAABoRLGp60a2J9s3\nt50CAAAAoBFzNnXd8Wcl2+5pOwUAAABAI4pNXbfvMW0nAAAAAGjMMLquu/6DybdWtp0CAAAAoBHF\npq67fU3y/fe1nQIAAACgEcPouu6gJydzFrSdAgAAAKARxaau+7kX9RoAAADAEDCMrus23pLcfUXb\nKQAAAAAaUWzquivfmnzm1LZTAAAAADSi2NR5c5I60nYIAAAAgEYUm7rucW9Nnv3jtlMAAAAANGKC\n8K6bM6/tBAAAAACN6dnUddf+TfKZp7SdAgAAAKARxaau2/DD5I6vtJ0CAAAAoBHD6Lru8Gclez6k\n7RQAAABSQdgYAAAgAElEQVQAjSg2dd3BT+41AAAAgCFgGF3X3fXt5LrzkzrSdhIAAACAKSk2dd2P\n/iO59MVJ3d52EgAAAIApKTZ13Z6HJouPT2ptOwkAAADAlBSbuu7o/508c20yd37bSQAAAACmpNgE\nAAAAwLRRbOq6q9+ZXDA/2XpP20kAAAAApqTY1Hk1GdnqbnQAAADAUNij7QBMYcnzkgOfmOyxqO0k\nAAAAAFNSbOq6hYf3GgAAAMAQMIyu627/UnLZK8zZBAAAAAwFxaauW3dFcs25ybZ7204CAAAAMCXF\npq7b95HJUb+dzN2z7SQAAAAAUzJnU9cduqzXAAAAAIaAnk1dt+Xu5O61yfYtbScBAAAAmJJiU9fd\n9B/JJ05MNt7UdhIAAACAKSk2dV3pf0R1pN0cAAAAAA2Ys6nrjnxBsuS5yZz5bScBAAAAmJJiU9fN\n2SM+JgAAAGBYGEbXdbd9Lvn0Kcn669pOAgAAADAlxaau2/yT5I5Lkq3r204CAAAAMCXFpq7b/7HJ\nSe9K9npI20kAAAAApmQyoK7b5+HJI1/RdgoAAACARvRs6roNNyXXnZ9s+nHbSQAAAACmpNjUdXd9\nO7n0xSYIBwAAAIaCYlPXzV+cLD4+mbtn20kAAAAApmTOpq47+NTkmWvbTgEAAADQiJ5NAAAAAEwb\nxaauu/0LyQXzk9s+33YSAAAAgCkpNg2Dka1J3d52CgAAAIApmbOp6/Z7THLGl5PFj247CQAAAMCU\nFJu6bv7i5OBT2k4BAAAA0IhhdF137w3JZa9I7r6i7SQAAAAAU1Js6rpNtyfXnJvce33bSQAAAACm\npNjUdQsOSo767WThEW0nAQAAAJiSOZu6btFRyZPPbzsFAAAAQCN6NnXd9k3J3WuTLevaTgIAAAAw\nJcWmrvvp95JPnJjc+pm2kwAAAABMSbGp60r/I6oj7eYAAAAAaMCcTV2377HJ8zclc+a1nQQAAABg\nSopNXVfmJHMXtJ0CAAAAoBHD6Lpuw4+S/3xy8qNPtJ0EAAAAYEqKTV03siW589Jk8+1tJwEAAACY\nkmJT1y04MDnpXcmBT2o7CQAAAMCUWi82lVKOKKWsL6XUUsqiUctLKeX1pZQfllI2llK+UEp5bJtZ\nWzFv3+SRr0gWP6rtJAAAAABTar3YlORtSdaPs/y1Sc5K8tYkZ/a3uaiUctgsZmvftg3Jdecn665u\nOwkAAADAlFotNpVSnpLk6UnePmb5nukVm95Saz231npRkucmqUlePutB27T1nuTSFye3f67tJAAA\nAABTaq3YVEqZm+TdSf4syR1jVp+SZN8kHxosqLXem+TCJM+YrYydMGd+svj4ZN7+bScBAAAAmFKb\nPZtelmRBkv87zrpjk2xPcu2Y5Vf11+0+FhyQPHNtsvQFbScBAAAAmNIebbxpKeXAJH+e5H/WWreW\nUsZusn+S9bXW7WOW35VkYSllfq11yyxEBQAAAGAntFJsSrIqyaW11k9M1wFLKSuSrEiSQw89NGvW\nrJmuQ7di/fr1WbNmTeaO3JtTb/21XLfv7+SmRc9pOxZ0zuBaAabmeoFmXCvQjGsFmtkdr5VZLzaV\nUh6d5CVJnlJK2a+/eGH/cXEpZXt6PZgWlVLmjundtH+SDeP1aqq1npfkvCQ5+eST67Jly2bqT5gV\na9asybJly5Kt65N/2ZajH740Rz9qWduxoHPuu1aAKbleoBnXCjTjWoFmdsdrpY2eTcckmZfkknHW\n3ZTkvUk+kGRukqOTfHfU+mOTXD3TATtl7l7JGV9O9l7adhIAAACAKbVRbPpSktPGLHt6ktck+eUk\n1yW5Ick9SZ6b5M1JUkpZmOTM9Hsv7TbmzE0OPqXtFAAAAACNzHqxqdZ6R5I1o5eVUpb2n36x1rq+\nv+zsJGeVUu5KrzfTq9K7e967ZytrJ4xsT77++8nhz0wOf3rbaQAAAAAm1dYE4U2cnV5x6XVJDkxy\nWZIzaq23tZqqDdecmyw4RLEJAAAA6Lw5bQdIklrr+bXWMujV1F9Wa62raq0PrbXuVWv9hVrrN9rM\n2YoyJznqhcl+J7SdBAAAAGBKXe7ZRJKUkjz5/W2nAAAAAGikEz2bmMLd30k23tp2CgAAAIApKTYN\ng089Pvnuu9pOAQAAADAlxaahMCfJSNshAAAAAKZkzqZh8Nx1SfFRAQAAAN2ngjEM5i5oOwEAAABA\nI4bRDYPPnpFcfU7bKQAAAACmpNg0DO68LFl/XdspAAAAAKZkGN0weNxbk32PbTsFAAAAwJQUm4bB\n0SvaTgAAAADQiGF0w+CGf05+/OW2UwAAAABMSbFpGHz9D5Lrzm87BQAAAMCUFJuGwb7HJXs9pO0U\nAAAAAFMyZ9MwOP2ithMAAAAANKJnEwAAAADTRrFpGHzsuOSS3247BQAAAMCUFJuGQd2WjGxtOwUA\nAADAlMzZNAxOvSDZY5+2UwAAAABMSbFpGBzw+LYTAAAAADRiGN0wuOItyff+ru0UAAAAAFNSbOq4\n1WtX56rL/jQf/uyKLD1naVavXd12JAAAAIAJGUbXYavXrs6KC1fkNftszR3bkxvW3ZAVF65Ikiw/\nYXnL6QAAAAB2pGdTh628eGU2bN2QP/1J8u51vWUbtm7IyotXthsMAAAAYAKKTR1247obkySHz02O\nm7/jcgAAAICuUWzqsCWLlyRJ3nlw8i+H7bgcAAAAoGsUmzps1emrsnDewty2PTlwbm/ZwnkLs+r0\nVe0GAwAAAJiAYlOHLT9hec4787y8a8uSHP6D5MjFR+a8M88zOTgAAADQWe5G13HLT1iuuAQAAAAM\nDT2bhsGPv5J88nHJ3d9pOwkAAADApHaqZ1MpZXGSZyQ5IsmtSb5Ua71hJoIxxl3fTDbclOx3fNtJ\nAAAAACbUuNhUSjkxyaeTHJzkniSLk9RSyieT/E6t9UczE5Hs+8jkCX+TLD6u7SQAAAAAk9qZYXTv\nTvKNJAfXWvdPsijJr6RXfLq0lPKQGchHkiw4MDnmd5K9l7SdBAAAAGBSO1NsenySv6q1/iRJaq0b\naq0fT3JKku8mOXsG8jHwg39Mbr247RQAAAAAk9qZYtNPkhw4dmGtdXuSc9Kby4mZ8u0/Sa47v+0U\nAAAAAJPamWLTPyf501LK/uOsK9nJycbZSQefmux1eNspAAAAACa1MwWiP03yi0m+U0o5N8lF6d2R\n7ueS/HmSL05/PO5zyj+1nQAAAABgSo17NtVaN6ZXbFqd5I+TXJrk+iSfS7I9yctnIB8DtSZb72k7\nBQAAAMCkGhWbSinzSinfSfKEWusfJzkkyZOSPDPJCUlOrrX+cOZikrVvTP51/2Rke9tJAAAAACbU\naBhdrXVrKeWQJPMHr5NcNpPBGGPBwUkdSbb8JNnz4LbTAAAAAIxrZyYI/2CSX5upIEzhyBckz/pu\nMn+8+dkBAAAAumFnik3XJfn1UsqbSikLZioQE9jzoGTfRyRz3PQPAAAA6K6dKTa9OcnhSc5Kckcp\n5cJ+4ek3SikPn5l43GfTj5MvL09u/WzbSQAAAAAmtDPFpn2THJPkN5K8LcmmJM9P8qEk15ZS3Cpt\nJs3ZI7nhA8nd32o7CQAAAMCEGt+NLsnaJIfXWj9Sa/2zWutza63HJlmU5IlJXjmDOXd7q6/+eN63\nYZ889T9elaXnLM3qtavbjgQAAACwgwd0N7ox6zald2c6d6ebIavXrs6Kj/1ONmzd0Fuw8YasuHBF\nkmT5CctbTAYAAADws9yNbgisvHhlNmzdkBPmJ/9tz96yDVs3ZOXFK9sNBgAAADCGu9ENgRvX3Zgk\nOefg5K0H7bgcAAAAoCvcjW4ILFm8JEly90iyaWTH5QAAAABd4W50Q2DV6auycN7CPPuW5Gk395Yt\nnLcwq05f1W4wAAAAgDEmnSC8lPL8JBfWWjfUWmuS7/fbR0Zts2eS4/uNGTCYBHzlxStz47obs2Tx\nkqw6fZXJwQEAAIDOmepudB9I8uQkXxssKKU8JclXaq3bEnejmy3LT1ie5Vu/kdz51eSML7YdBwAA\nAGBcUw2jKz/zopS5ST6X5MQxy48ppbx9mrMx1pa7kvU/aDsFAAAAwIR2Zs6mgTLOsgOS/MEuZmEq\nx7wseeLftJ0CAAAAYEJTDaOjSw58QtsJAAAAACbVpGdTnfEUNHP7F5Irzm47BQAAAMCEmhSb3l5K\neVsp5beTPDG94pMCVBtuvTj51uuS6vQDAAAA3TTVMLp3Jjk+yW8lOSS9IlNJckEp5VtJrui3PWcy\nJH37HJMc9t+Tuj0pRkACAAAA3TNpxaLWet+k36WUQ5Kc0G8n9h+fmWSvweYzlJGBo/5nrwEAAAB0\nVOPuMbXW25Nc3G9JklJKSXJMesWn46c9HT9r+5Zk6z3J/P2TOXPbTgMAAACwgyZzNk2o9lxTa/3X\nWusbpykTE/nB+cm/H5xsurXtJAAAAADj2qViE7NszoLe48jmdnMAAAAATMAs08PkYb+RHPKLycIj\n2k4CAAAAMC7FpmEyb59eAwAAAOioWR9GV0p5TinlK6WUO0spm0op3y2lvKGUMn/UNqWU8vpSyg9L\nKRtLKV8opTx2trN2zl3fTL747OSea9pOAgAAADCuNuZsOjDJZ5O8NMkzkrwvycok/2fUNq9NclaS\ntyY5M8n6JBeVUg6b3agds/nO5If/nmy6re0kAAAAAOOa9WF0tda/HbPoc6WUfZP8XinlFUkWpFds\nekut9dwkKaVckuT6JC9P8oZZjNsti45KjnutOZsAAACAzurK3ejuTDIYRndKkn2TfGiwstZ6b5IL\n0+sJtfta9HPJY9/SewQAAADooNaKTaWUuaWUhaWUn0/yyiTvqbXWJMcm2Z7k2jG7XNVft/vauj65\n5dPJxlvaTgIAAAAwrjZ7Nt3bb19M8vkkr+4v3z/J+lrr9jHb35Vk4eiJxHc7G25KPve05LY1bScB\nAAAAGNesz9k0yilJFiZ5YpI/SXJukt99oAcrpaxIsiJJDj300KxZs2YaIrZn/fr1O/wNC7bdmpPL\nPrnmqqvy4+vXjLsf7G7Gu1aA8bleoBnXCjTjWoFmdsdrpfRGrrUcopQXJnl/kqOTPC3Ju5IsGN27\nqZTy6iRvrLXuPdXxTj755HrZZZfNVNxZsWbNmixbtqztGNB5rhVozvUCzbhWoBnXCjTzYLpWSimX\n11pPnmq7rkwQ/vX+41FJrk4yN73C02jH9tcBAAAA0FFdKTad2n/8QZKvJLknyXMHK0spC5OcmeST\nsx+tQ7ZtSD66NLn2PW0nAQAAABjXrM/ZVEr5VJKLklyR3l3nTk3yh0n+udb6/f42Zyc5q5RyV3q9\nmV6VXmHs3bOdt1PKHsm9NySbf9J2EgAAAIBxtTFB+H8leVGSpUm2JbkuyeuS/M2obc5Or7j0uiQH\nJrksyRm11ttmM2jnzJmX/PyHksUntJ0EAAAAYFyzXmyqtZ6V5KwptqlJVvUbA6UkS5479XYAAAAA\nLenKnE00dfU7kps/1XYKAAAAgHEpNg2bK96S3PTRtlMAAAAAjEuxadgcdnqy7yPbTgEAAAAwrjYm\nCGdXnPrBthMAAAAATEjPpmGzZV2y5e62UwAAAACMS7Fp2Fy8LLnkhW2nAAAAABiXYtOwmbMg2b65\n7RQAAAAA4zJn07D5hX9P5sxrOwUAAADAuBSbhs3Cw9tOAAAAADAhw+iGzRVnJ5f/QdspAAAAAMal\nZ9Ow+cl/Jfd8t+0UAAAAAONSbBo2D3tOsun2tlMAAAAAjEuxadgs/R9tJwAAAACYkDmbhs26q5Jb\nL2o7BQAAAMC4FJuGzbXvSb743LZTAAAAAIxLsWnYzN8/mb+47RQAAAAA41JsGjYnvin51evbTgEA\nAAAwLsUmAAAAAKaNYtOwufZvkw8/NNm2oe0kAAAAADtQbBo22zcmG3+UjGxuOwkAAADADvZoOwA7\n6YhnJXsvTeYubDsJAAAAwA4Um4bNPkf3GgAAAEAHGUY3bNZdmaz9s2TTHW0nAQAAANiBYtOwWXdl\nsvZPk023tJ0EAAAAYAeKTcNmryOShzw9mbtX20kAAAAAdmDOpmFz8JOT0z7ZdgoAAACAcenZNGxG\ntiYbb0u2b2o7CQAAAMAOFJuGzU8uTz58WHLbmraTAAAAAOxAsWnYzFnQexzZ3G4OAAAAgHGYs2nY\nLH508qs3JgsOajsJAAAAwA4Um4bN3PnJ3g9rOwUAAADAuAyjGzab70y+8GvJzZ9qOwkAAADADhSb\nhk3dntz00WT999tOAgAAALADxaZhs8c+yaNXJgec1HYSAAAAgB2Ys2nY7LFX8pg3t50CAAAAYFx6\nNg2jmz+ZC//rbVl6ztLMedOcLD1naVavXd12KgAAAAA9m4bRyJozc/XdJTes25YkuWHdDVlx4Yok\nyfITlrcZDQAAANjN6dk0hG7envx0+7YcuUfyqPm9ZRu2bsjKi1e2GwwAAADY7enZNISWXDeSmuSe\nhyf7zEnKtb3lN667sdVcAAAAAHo2DaEli5ckSf7z3uSKzTsuBwAAAGiLnk1D6L+Wzs/Ft8/NS27b\nnk0jvWUL5y3MqtNXtRsMAAAA2O3p2TSEDp5b8oJF23P9UXNSkxy5+Micd+Z5JgcHAAAAWqdn0zB6\nwl8nn/2lHDBnJFtP+9XkKR9pOxEAAABAEj2bhs7qtauz9IL/lX2+l3xxy57ZeOuatiMBAAAA3Eex\naYisXrs6Ky5ckaeM3JDn7JO88fZN+aNbN2b12tVtRwMAAABIYhjdUFl58cps2Loh/7C097pcm3x2\n45Z8/OKV5msCAAAAOkGxaYjcuO7GJMlzbkkWleRxC5Lj5icf6C8HAAAAaJthdENkyeIlSZJ/W5+8\n/6fJ8xYl7z3k/uUAAAAAbVNsGiKrTl+VhfMW3vf6lu3JtdtKVp2+qsVUAAAAAPdTbBoiy09YnvPO\nPC9HLj4yJSUfrUfmWyf9o/maAAAAgM4wZ9OQWX7CcsUlAAAAoLP0bBpmV78juWBBsu3etpMAAAAA\nJFFsGn4jW5KRrW2nAAAAAEhiGN1wW/K85MAnJnvs3XYSAAAAgCSKTcNt4RG9BgAAANARhtENszu+\nmlz2imTzT9pOAgAAAJBEsWm43XN1cs25yda7204CAAAAkESxabj9/+zdeXhU1f3H8fedZLJMVggk\nrMmwLxpURFQEBeKK4FZxi0utmp/7Vq3a1Lq0sXbRUm1dsLVVm1Zp64a7RnEXBReiArIlYU1YE5LJ\nMpm5vz9OhuxkA4ZhPq/nyTO555577vfM3Bucr+eekzAChlwMEa5gRyIiIiIiIiIiAmjOptDWd5L5\nERERERERERHZT2hkUyjz7oQdhVBfHexIREREREREREQAJZtCW+kCeG0clH8X7EhERERERERERAAl\nm0Kbw2le7frgxiEiIiIiIiIi0kBzNoWyfifAuTWNSScRERERERERkSDb5yObLMs6x7KsVy3L2mhZ\nVqVlWYstyzq/RR3LsqyfW5a11rKsasuyPrAs69B9Het+zxEBEdFgaYCaiIiIiIiIiOwfgpGluAko\nB24ATgPeA/5lWdZ1TercDtwJ/BaYBVQC71iW1W8fx7p/2/EtvHUMbFkY7EhERERERERERIDgPEY3\ny7btLU2237UsawBwM/CwZVkxmGTTb2zb/jOAZVmfAkXAtcAv9nG8+696D2z5BGq3dFxXRERERERE\nRGQf2Ocjm1okmgK+AgY0/D4JSATmNTmmCpgPnLLXAwwl8W4YPweSxgY7EhERERERERERYP9Zje5o\n4IeG30cDPmBFizpLG/ZJQEwqjL4B4ocEOxIREREREREREWA/SDZZlpUFnAE80FDUC6i0bdvXoup2\nwGVZVtS+jG+/5q2A1U/BzlXBjkREREREREREBADLtu3gndyy3MBC4BPbts9sKMsFbrVtO7lF3cuB\nJ4Bo27br2mgrB8gBSEtLO/zZZ5/du8HvZZWVlcTHx++2Tkz9eo4qu5ClyXdQ6jpxH0Umsn/pzL0i\nIobuF5HO0b0i0jm6V0Q650C6V6ZNm7bYtu0JHdULxgThAFiW1Rt4HSgGspvs2g7EW5YV0WJ0Uy/A\n01aiCcC27bnAXIAJEybYU6dO3Stx7ysLFiygwz54NsB7YxmTOZExgzuoK3KA6tS9IiKA7heRztK9\nItI5uldEOicc75WgJJssy3IBrwBRwEzbtj1Ndi8DIoDhwPIm5aMb9kmAawCc+l2woxARERERERER\n2WWfz9lkWVYk8B9gBHCybdtlLap8AlQAs5sc4wJmYUZCiYiIiIiIiIjIfioYI5seAWYANwAplmWl\nNNn3lW3bNZZl3Q/caVnWdsxoppsxibGH93m0+7O6HfB8Pzjsd+TXpZBbkEtJeQnpSenkZeWRnZnd\ncRsiIiIiIiIiIntQMJJNgZms/9TGviFAEXA/Jrl0B5ACLAJOsG27dF8EGDKsSPDX8uX6T8n57GU8\nXvM0YnF5MTnzcwCUcBIRERERERGRfWqfP0Zn27bbtm2rnZ+ihjq2bdt5tm0Psm071rbtKbZtf7Wv\nY93vRcTCCR9x1bcf4vF66BcBB0WZXR6vh9yC3ODGJyIiIiIiIiJhJ2ir0cke4IiAvsfwxfYNACzL\ngKQIsFaY3SXlJUEMTkRERERERETC0T4f2SR72OIbubRvHwD+UwmfVTfuSk9KD1JQIiIiIiIiIhKu\nlGwKdSse4eYRR+FyuriiDI5eZ4pdThd5WXnBjU1EREREREREwo6STaFuyCUcNPJC5s6ay5kp/Xip\nPxzTawBzZ83V5OAiIiIiIiIiss9pzqZQd+QTAGQD2YUXAnDa6f+CtOOCGJSIiIiIiIiIhCuNbAp1\n5cvA0/DsXJzbvMYOCFo4IiIiIiIiIhLeNLIp1BVMhUGnw8THYdqbpixxRFBDEhEREREREZHwpZFN\noc7hBH+9+T1xJHjWwvavgxuTiIiIiIiIiIQtJZtC3awVZlQTwNc/h3ePhx/+EtyYRERERERERCRs\n6TG6UBcR0/h78b/MqxURnFhEREREREREJOwp2RTqPrkIXIPh0Psg4wJIHAVDLwl2VCIiIiIiIiIS\nppRsCnU7lkD9TvP7ofcFNxYRERERERERCXtKNoW6sbeBM9H8vvULWP0UrP0PnLkJLCu4sYmIiIiI\niIhI2FGyKdS5L2j8/a1JJsHk90J9JTgTgheXiIiIiIiIiIQlJZtC3YY3ABv6n2ReM7JhyIXgiA52\nZCIiIiIiIiIShpRsCnXf/xZsHww4Bc6vB9vW43MiIiIiIiIiEjSOYAcgPZQwHOIyGrdrt8LXd8C2\nxcGLSURERERERETClkY2hbojnzCvtVuhYDoMuwy+v98koHofHtzYRERERERERCTsaGTTgaLeAzuW\ngCMKBp0BrkHBjkhEREREREREwpBGNoW6j8+H8u/hhI/gyL9C38kw4spgRyUiIiIiIiIiYUojm0Kd\nbYOvBpwJMOwy8osXccRDgxiWZ+Ge4ya/MD/YEYqIiIiIiIhIGNHIplA37h7zCF1NGZ9/9jN+tfA5\nHk2pITIOjl1XTM78HACyM7ODHKiIiIiIiIiIhAONbAp1iaOg92FQuZqJG55iiKOGUh+kRpjdHq+H\n3ILc4MYoIiIiIiIiImFDI5tCXfFzsP1ryDiXz2tgqw+uKIUau7FKSXlJ8OITERERERERkbCikU2h\nrux9WPVX6HUo51Rk8EUtVNpQ36RKelJ60MITERERERERkfCiZFOo6zMJ0s8Fv4/7pv8Kl9PFBQnw\n8SCIAFxOF3lZecGOUkRERERERETChJJNoW7IhXDEn2HdC1zw7cXMO/4XjI7rxaRYGJM8mLmz5mpy\ncBERERERERHZZzRnU6irLoWaUvDXAXDq6LM4dfjJUPYBhcOvgEhXkAMUERERERERkXCiZFOo++Fh\n+P438KMtcPKXEJcBETFmhToRERERERERkX1Mj9GFOocTbD84k0yCKSIGPBtg9dNQsznY0YmIiIiI\niIhImFGyKdQd9HM4rw42vg2fXQb1Hqj4Hj67BCqWBzs6EREREREREQkzSjaFOofT/Oz4BlY/CdgQ\n1RsSx4AVEezoRERERERERCTMKNkU6oqfgzePgvhhMPxKcERD7/Ew83voe3SwoxMRERERERGRMKMJ\nwkNdTRlsXQipx0H6j4IdjYiIiIiIiIiEOY1sCnWpx8HhD0NtGWxdZMpqNsNzsfDDI8GNTURERERE\nRETCjpJNoa7XOBh1Lax4HN493pRFusBXA/WVwY1NRERERERERMKOHqMLdTtXQdn74N0BETGmLMIF\nx39g5nESEREREREREdmHlGwKdVs+g4WXwczlcNQ/TJllQeqUoIYlIiIiIiIiIuFJj9GFuugUSM4E\nR6RJMgUsuQvW/DN4cYmIiIiIiIhIWFKyKdQNOBlmLIHlD8OHsxvL1zwDG98MXlwiIiIiIiIiEpb0\nGN2BYudKqN7QuJ1xDsRlBC8eEREREREREQlLSjaFuo1vwYIZkHm3eZwu4ND7gxaSiIiIiIiIiIQv\nJZtCneUA2wepxzWfFLyqBOo9kDQ6eLGJiIiIiIiISNjRnE2hrvcRcOKnULEc1r/aWL74evj43B43\nn1+Yj3uOG8c9Dtxz3OQX5rdZJiIiIiIiIiICGtkU+qKSoM9R8MVV4BoMA0815RFxUF/Vo6bzC/PJ\nmZ+Dx+sBoLi8mEtfvBTLsqjz1e0qy5mfA0B2ZnaPziciIiIiIiIioU8jm0JdVTF8cQ3Yfkga21h+\n1JMwc3mPms4tyN2VaAKwAK/fuyvRFODxesgtyO3RuURERERERETkwKBkU6ir3QorHoFx9zafFDwi\nGhwRPWq6pLwEgGNiwDccpsd2XFdEREREREREwpuSTaEuui8M/bF5tf2N5auehDcmgm13u+n0pHQA\nPDY4LIhruFouTgB7BDzQp3VdEREREREREQlvSjaFurjBcNTf4YPTzeN0ATVlsO0L8FV3u+m8rDxc\nTmkhFvwAACAASURBVBfHxJjtL2vB6XCSEGFGTAWSTy6ni7ysvG6fR0REREREREQOHJogPNT56qBi\nGdRuMY/OBfQ/CaKSwer+o3SBCb83f3YNUI4zLp2/Z91HrHcrf//yFzy0YycZSRnkZeVpcnARERER\nERERAZRsCn01G+H1Q2D0T2H0TY3lvQ8zPz2UnZkNA0dDwXRWn/M4DDjZ7Bh/PZf2uHURERERERER\nOdDoMbpQZznNa+JIcA1sLK8qgZV/5b9fPYZ7jhvHPQ7cc9zkF+Z3/RzJ48BbAVu/MNulC+BfFqx9\nscfhi4iIiIiIiMiBRcmmUBfbH86pgrIPYf2rjeU7voXPr+DhghtZW16My7IpLi8mZ35O1xNOJf8F\nZyL0OsRsl31oXksL9kwfREREREREROSAoWRTqLMssH1Q9E+oWNpYHtOX771OqupreaYfVA43xR6v\nh9yC3K6dY8VfoPcEGHSa2U4YYV6TD+l5/CIiIiIiIiJyQNGcTaGuvhrengzOZOg1vrE85QgOLqrH\nBuIs2FDfuKukvKRr50jKhJpNsHMlJAwH93nmR0RERERERESkBY1sCnWWBTuWwNifQb/pzXalJw3G\nAu7aCj8ubVqe3rVzTHzUrHj3zc/NdvUm2PYVVG/sWewiIiIiIiIicsBRsinUOaLg0N9BZBzUbGks\n92xgdeparuoVxWAn3NkbejvA5XSRl5XXtXPUlIEjGnw1Znvx9fDGeFh4+Z7rh4iIiIiIiIgcEJRs\nCnWWAwbOgsU3wKa3G8sjXTiwyRk7i6f7OZgSC2OSBjJ31lyyM7M73359NTyfBulnw3EvmzJvZcM+\nz57rh4iIiIiIiIgcEJRsOhCsftK8RkQ3lkUmwImfcsjYy+nl8EPfY/joykIA3HPcOO5x4J7jbrUy\nXX5hfrP9zy/5m9kR3aex0pT/wmmr4Lj5e7NXIiIiIiIiIhKClGw6EPzwZxhzCww+q7HMEQF9jgLX\nQFM+8Qnyl79GzvwcisuLsbEpLi8mZ37OroRTfmF+q/2XvPEzXhw1B3Z8CwtmmbYjXRA/FJzxQeis\niIiIiIiIiOzPlGw6ECQfAjFprcu/+hls/waOeAy2fcmc927D423+6JvH6yG3IBeA3ILcVvsrvdXc\n+OEfwVcNO742hZ9cBP/rCx934XE8EREREREREQkLkcEOQPaA8Q/C51dA2nToPb6xvPjfsHUhRMTC\npxeSUmuKB0bCQVHwnge8QEl5CTR5PTIGJsXAY+VwSDTc4iqGtKnQ73jTQNkCqN0CZe/tsy6KiIiI\niIiISGjQyKYDQd12KP8O/N7m5e4LoewD+PRiSBhJL1cqADmJ8OZA6BVhqqUnpTd7neGC3/cBCxjh\nhB/FA30mgft8c8DY22HUDeZVRERERERERKSJoCSbLMsablnW45ZlLbEsy2dZ1oI26liWZf3csqy1\nlmVVW5b1gWVZhwYh3P3fB6eDFQHxw5qXH/obSBxtVqubtZyZxz6Iy+ni6mSzO9oCl9NFXlYeAHlZ\nebicLrb6IcKCm3vBan803/WdCTWbYPnD4K+HkdfA4XNg1PX7uKMiIiIiIiIisr8L1mN0BwEzgM8A\nZzt1bgfuBG4FlgE3A+9YlnWwbdub9kmUocI1CPpOgZg+zct3roLJ8yDODUB2pplj6Z3Pr2SKsxJH\nXAZzs/J2lQdecwtyudVbzDhXHKOnPs5BmdmwbA58eRNknA+b3gJnItRXweCzzWTkIiIiIiIiIiIE\nL9k037btlwAsy/ov0CxLYllWDCbZ9Bvbtv/cUPYpUARcC/xin0a7vxv3K9i2GLwVJgkUsPh6qCmF\n6W/DvHg45DdkZ14HB50HvmqK2lhNLjszm+whR0NNGbNd6eb40gUQlw4pR5pH9j7JNgkuzzqYXQGO\nhH3XVxERERERERHZrwXlMTrbtv0dVJkEJALzmhxTBcwHTtmLoYUmXzUsn2OSTQ3yC/MpW/smbFvM\naXPHmlFI9VVm57ZF8FombP60dVvenfDyMCh9D1wDYNmD8NmlMPgsOOkzk8yKHw5JB5vH9vx1+6iT\nIiIiIiIiIhIK9tfV6EYDPmBFi/KlwLn7Ppz93Kq/mtcIF2ASTTnzc7jI5eOxVFhSvomTaqP5v9Eu\nzgL44iqoKgJveeu2KteY16pi+OhcMxdUnJk4HL8XovvAaS0/FhERERERERERY39dja4XUGnbtq9F\n+XbAZVlWVBBi2n/562HAqRDdGzBzLnm8HhZ44LoyWFsPb1XWcvMHD5r63p3mtVcb860nZ8JZZdB7\nPJTMg4PvhOPfNyOdno2CzR/to06JiIiIiIiISCjaX0c2dZllWTlADkBaWhoLFiwIbkA9VFlZ2ek+\nuL0H4auPZe1774FlUVJeAsByLyxvGLx0d29YVlfMggULSHWej79XFFsWLsPMvd6ayxvNgLgfse6L\nb6iJLCWhbimHA8UL5zKwagbr4s5mUNX/+DrlASqjRvW8wyLd1JV7RSTc6X4R6RzdKyKdo3tFpHPC\n8V7ZX5NN24F4y7IiWoxu6gV4bNtuNVGQbdtzgbkAEyZMsKdOnbpPAt1bFixYQKf7sOQ9+PZehs18\nDCyL9K/TKS4vblbl0kRYWB9n2qw/ApY/BP3iIWVC87a+uw92fAdT84FLGPTqQdD3DDgoF3YeQ0bF\nMvj4X7iHjYZvqphw6BhIPXZPdFmkW7p0r4iEOd0vIp2je0Wkc3SviHROON4r++tjdMuACGB4i/LR\ntDcUJ5xVNLwllgVAXlYeLqerWZWXPJFkDDvHbKx6Er75OWz+uHVbZR82trd1EZR/bx7Ti3RBr0Og\n3/EwvQDcF8D0d8xjdyIiIiIiIiIiDfbXkU2fABXAbODXAJZluYBZNIxekiYqlkFkwq7N7MxswMzd\nVFJeQnpSOr0n5zGxoZwvbzSvrgGt2xp2Ofhrze+fXQqOKBh6iVnJbtH1kD4bBpxs9sdl7K0eiYiI\niIiIiEiICkqyqSFxNKNhcyCQaFnW2Q3br9m27bEs637gTsuytmNGM92MGYn18D4PeD+WX5jPgNIf\niLNrOGeOm7ysPLIzs3f97FK1FnaugvghkHQwDLvCJI6atNM0OTVjxEfMLF2Nw1fHlX+fwf3T7uK8\n1U9C9QYofRdG3WAexUs/G1KOCELPRURERERERGR/FKyRTanAf1qUBbaHAEXA/Zjk0h1ACrAIOMG2\n7dJ9FON+L78wn5z5OVzsqmGUE4rLi8mZnwPQPNEEsPAnZnTSiZ/AjG+gbgd4K8CZuKudGJ+HyxLh\n9apiHl30KC9FwFXJEO0p5rJXr2H8+CxG+qph6e9heA4s/R0kDFeySURERERERER2CcqcTbZtF9m2\nbbXzU9RQx7ZtO8+27UG2bcfatj3Ftu2vghHv/iq3IBeP18OkGDgt3pR5vB5yC3JbV45wQb0HbNts\nzx8JX93WrJ3MaHgiDUY7TZWhTvhFb0h3gsdbzYnLVpoRTemzISYVBp8NrvR90FMRERERERERCRX7\n65xN0gkl5SUARFrNP8hAeTPHPAuOSNi5El4dC3Y9+Kqb1Y+24OtaWOU1h0SY+cbZXG9ee9cUQ9JY\nmDzPFExpOThNRERERERERMLd/roanXRCepIZVXTRJhhe1Lq8mchYcDjBV2USTYf/CcY/2Kz+Wx44\nrASKGpJL71dD3Er4ps5sPz8gEj7PgcqGk1WuhpqyvdAzEREREREREQlVSjaFsLysPFxOFz6gYTAS\nLqeLvKy81pWXPwTvnggJI+CET8CdDdG9m7XT1sXgsRvbTYwfCGUfwLvHm8LXxsH3v9vT3RIRERER\nERGREKZkUwjLzsxm7qy5ZCRlYGGRkZTB3FlzW08ODuBZB5s/hMg46Hu0ST59k9usnYcHJFI5DDKS\nMrhqwlWt2u195hoYeBpENkwQFeECn2cf9lhERERERERE9neasynEZWdmt51camnQ6WYy762LYPU/\nTOIpwgWHNLZDzSdQ8hxFNxa1387k/4C/xvw+6weIiO1pF0RERERERETkAKJkU7joe4z5Wf00rPgL\nHPxLiO3XvM5Bd8Cwy9pv48tboGI5TJ1vtqOS9168IiIiIiIiIhKSlGwKFxUrYPNHEDsAhlwCo2+E\nqF7N67gGmZ/21JTChldgyd0w7m744hrzWN5hmrdJRERERERERAzN2RQuNn8AC38CSWPg6H9A9SbY\n+HbzOt/dD8v+2H4bw3PMa+Uq87pjCWxbvFfCFREREREREZHQpJFN4SImDZIOBs9a8FbAyrlQ9E84\ne1tjnbX/g5hUGH1T222kToEj/wqxA832iGvAsvZ+7CIiIiIiIiISMjSyKVwMnAmnFsLaF+DNIyGq\nNzgTm9cZdLqp155ti6GuHPqfaLbd50HGuXsvZhEREREREREJOUo2hRufx8yzNO5uOL2o+b6DfwEj\nrmr/2E0F8NVPzYp2AFs+h7Uv7q1IRURERERERCQEKdkULrZ8Bs9GwaAz4Iy1bdfZ/ClUb2y/jZhU\n87r+JfO6ai4sunbPxikiIiIiIiIiIU3JpnDhiAK/F3zVEBENa56BFwZAzWaz318Pb08yczm1Z+Bp\nkDQWEseY7dgOVq8TERERERERkbCjZFO4SBwFJ3wMxc/CwhyTXKreaB6rA6ivBCuy9TxOTeQvf40x\nK3bifPoi3HPc5Fsj4KTP9lEH9rz8wnzcc9w47nGY/hTmBzskERERERERkZCn1ejCRWQc9J0EX90K\nETFmfqZjX4ToPmZ/VDKcVwfYbR6eX5jPvHcuZ2m/Wo6uhc/Ki8mZnwNAdmb2PurEnpNfmE/O/Bw8\nXg8uC4pDvD8iIiIiIiIi+wuNbAoX9R5YdD30Hg+jboC4dLP6XGRcYx3LAqvtSyK3IBeHvxaAkU5T\n9hOXh7OWXATeyr0d/R6XW5CLx+vhjDioGg4DI8Hj9ZBbkBvs0ERERERERERCmpJNYcOGHx4G12AY\ndBpUFUPhvVC5xuze9iW8Ns5MJN6GkvISXqyCSWvh6Z2mzA/EWraZByrElJSXAKYPAKkRzctFRERE\nREREpHuUbAoXEbHgvgi2fmESSp71UHgX7Fxh9tdshh2FYPvbPDw9KR2AT2say16qgnO2p+12nqf9\nVaA/P9TBwztgh695uYiIiIiIiIh0j5JN4cJywKSnYeObUPwcxKRC/1PAmWz2J42FI/8KCSPaPDwv\nKw+X09WsbLvl4vRjHzCr24WYQH8uSoRLE2FNPbicLvKy8oIdmoiIiIiIiEhI0wTh4aR8mZmjKX4I\nJAyHaa817osbDMMua/fQwKTZuQW5lJSXkJ6UzsPHXMOsukVQNRniMvZ29HtUoD/2wiuJd1RydK+B\nXDPtt5ocXERERERERKSHNLIpnLx3AgyYAaOuN4/L1ZQ1Tu699Qv44RHw1bV7eHZmNkU3FuG/y0/R\njUW46rfB8jlM/rObyHsjse6xcM9xk1+Y3+bx+YX5uOe4cdzj2G29jgTase6xOnXe3fXnwtlfAPDJ\n8deFVKJpT72XIiIiIiIiInuakk3hxBED9Q3Jpbrt8HwarH7SbG94HRZd0+5qdC3lF+Zzy0dzyK+A\n7X7w2WbSo+LyYnLm57RKfuQX5pMzP4fi8mJs7Hbrdea8gXag4/N2KHEURLjAV9u144JoT72XIiIi\nIiIiInuDkk3hZOqrUDIPVj9tEizQuJJcTBr0nQyOzj1ZmVuQy9eeGi4shWmxkJcCfRtWdPN4PeQW\n5Laq7/F6ODcehjvbr9eZ83q8njb3dac9lv4BDrkPMn/ZteOCKPAejImCmXGmrFt9FxEREREREdkL\nNGdTOPF7zWtkLETEwOklEN3blI34P/PTSSXlJbt+/1E8THNBkReeqGi9P7DtBJ7tD9t8kLK67Xqd\nPe/v+oATWFoHx7kge1P32qPkPxDdB0bf0LXjgijQx4f6wvEusFY0LxcREREREREJJo1sCic/PATJ\nmZCWBZZlJgWPbBgaU18Nfl+nm0pPSt/1+/T1kLyqMdHUcn9gO8qCv5XDmRvbr9fZ806JgTFRMCIK\nTo/rfnsMnAkbX4ePQ2e+pkAfy/3wbW3rchEREREREZFgUrIpnHg2gBXZOJrp00vgh7+Y3z+aDW8d\n2emm8rLycDldu7bL/WBhLiiX00VeVl6r+naki8vL4IOGJ/faqtfZ8z5SbpJbr1fBfdvMubvTHpm/\nNJOm71zeteOCKPAePLAdXvdAkqObfRcRERERERHZC/QYXTjpc6SZo8izDlyDoPQ9sBomWvJWgDOx\n000FVm7LLciluLyYQ6MdvDXAzy2VqZw45cFWK7tlZ2aTWLOe+V/8gRtiN/N8XS+GTnq4yyvAtTxv\nhBXBu9U+MpIyyMvK6/qKclsXwZCLwZncteOCKNDH9z+8iVuTN7PA7scFx/0hpFbTExERERERkQOX\nkk3hJH4YeMvB27Ai3eibIM5tfp/0DPjru9RcdmZ2Y4Kj3gP/7cVTR10I7SQ9ZkVuZlbKTnCN5KD4\noe3W6/C8Y39EdpwPUqeYic63fAJpUyGqV9casv3w5hFw8F0w7u5uxRIs2ZnZZJc+AWXv8+p5L0Gf\nicEOSURERERERATQY3RhI78wn7vfvIY6Gw77xwnkF+abZNPgM02FuAxIGNb9E0S6KEi/iSM+mofj\nHgfuOW5zjqb89ZCUSUGfszjlu2/ar9cRzzr47BIo+xC2fwUfngXlS1tVyy/Mxz3H3f556isByzxC\n991v+NeSZ3DPcWPdYxF5byTWPVb34tuNDmPqip0rYeilSjR10R79DER6QNeiiIiIiByoNLIpDOQX\n5pMzP4e7kzx4bfh6xzpy5ueQ4lnJyUOmmxFCC3PM6CD3Bd0/x4KH8Xg9ABSXF5MzPwdofOyLw/+4\nK5bd1uuIrwYSR5kJzp2JEDuwcaW9Fn3e7XmciXB+PSx7EL66lVtLYtlQayaU8tm+7sfXjj3S96aG\nXgpJB4GvDiKiehRbuNjjn4FIN+laFBEREZEDmUY2hYHcglw8Xg+VfrAbyjxeD3FL74evbzMFa56C\nHUt6dA6nz8NTaTArrvEcuQW5ZsO2wbZ3xfKrFMhJbKNeZyQfDDOXQdo06H04nLkO0o5rs8+XJsIX\ng3dzHssBiaP5qC6G+vpqDoqC36aYCccDuhxfOwIxfTwI7ui1B9o+5Few6Gr4+vYexxYuAp/BIVFQ\nOgRSI/bc5yvSFYFrsSldiyIiIiJyoFCyKQyUlJcA8PcKyClrLC+qqTGje2w/jLwW+h7bo3Ps9MPM\nODgjrvW5qd0C8+KY6i8GYFos/CSpjXqdYfs7FQ/A46kwIQZcVhvn2f4NvH4YRPfh2OJaynwwKQYu\nTYQTXLDGDSe7uhFfBzFNioWz41uXd4nfayZ499VATWmPYwsXgfd6YgykRkJcW9eFyD4QuOYuT4RT\nXK3LRURERERCmZJNYSA9KR2AtfXw752N5XfWZMC0N8zonvEPwMAZPTqHH7hnG7zqaV4OQOUa8FUT\nEdMXgMfL4YXKNup1xre/gnmJZg4ovw+e7w/f3dcqHoColRC/Ejx2G+epKYPtX4Pfy8HJg4huSDxs\n98MPdeB2wsDIbsTXjvSkdCxg9ka4rKx5eZfVbIaC6TD0x3Do/T2OLVwE3uudfiishVJf83KRfSVw\nzT2RBq8NbPzHWNeiiIiIiBwIlGwKA3lZebicrmZlLqeLvKw8s1FfBaULoHZrj8/x0A54vrKNcySN\ngekFnHz0vbicLp7ZCb/d3ka9zqgpNXMUOSLBEWHirylrViUvK49kZywA1TZEtHWexNEw8XGw61nS\ndy1nJ0bxRAWMKob19XDORnjb04342pGXlUes00WRF0Y6TVm32/Z5IDIO+k4xc1dJpwSu02crYYsP\nbuu15z5fka7Iy8ojruFvFEBKhK5FERERETlwaILwMBCYbDa3IJeS8hLSk9LJy8oj278M5o+CyfOg\nYBpMeb5xdbpunuMXBT/nKF8JxKQy89gHm0zGnQD9pjO733TqIhPILchlYG0xoxP6Mn3KH7s2Ie7Y\n28B9UeP2lP+Z1fRaxDNu03/I3PwSANeU92HS5DnNzxM3GIbngGc9ANcdms0XXxfwQ3kJfiuC/1T6\nyEjKYG5W3h6ZsDc7M5v4ujJOX34zAAvLMszn0J22E4bDOZVQPA8+vxImPtbj+MJB4L2+t+Dn9Iko\n4ej4WOZOnasJmWWfC1xzJy64ldG+jaQlDOb26b/RtSgiIiIiBwSNbAoT2ZnZFN1YhP8uP0U3FgHw\n2OcP4Sn/gWPmjqfKDxe8fGWPlt7OzsxmzY3FzE3vy6WunVz4/IVE3huJdY/FVXMc/OwhC/ccNwBF\nNxYxb+yh/CJ+Oxc9f1HXlv2Oy4C+Rzdu9z8BEkfu2gwsJ15V8hJr6k0+9S/Tf9n6S9y2L2HlXIjq\nDTN/4MjJD7N8YAX2abdS/8t67Av/RtHpv+7Ul7+WS5hf/erVbS5pfnrfxkdkiq5fCdCzpc93FMKq\nJ8zjhHtYR8uy93R/V+vtqbizM7NZnjmCzGg44dQ3QurL/Z5+ryS4skfN5K2cQh66wU/hDSUhcS3u\nrWtQ17aIiIjIgUUjm8JQYMntdDy86IRPavzErwIo46UeLr2dX5hP6ZbtJFEPgM82SZBz4m2cFvx+\nnVne++OSj4kq+o6zXfW4rC4u+/317ZB8CLjPN9urnwbvDhh1fbPlxM+rgj4R9cRFRnPtGCezW7az\n/lUo/CUMvRQSR0DddtNOTL+Gdp8EywlDLuywzy2XMH900aO79jfrW5++kHocTJ5H/nfPdX/p8w1v\nwJc3wohrYeR14K8DR+zuj+mCjpZl7+n+zp5nT8e9S00pDDodUrs/Kf6+tqffK9kPrHkaFl8Ph/4W\nBs6EpLHBjmi39tY1qGtbRERE5MCjkU1hKLDk9jKvmbfm3HhIargSerr0dm5BLj8tq+fyMrPC0rnx\nkBEJBR74X2XjOeYunsuftnmZsg6q7C6ee8WjsOWzxu11L5oRSjRfTry4HhbXwgdVtdz6fhuTaMf0\nhZSJ4HDCF9fAqr/DjCWNSay06dB7fKf67PF6OCyaXZOMt7Srb/1PhOMXQHRf7iz4OR6vh2FOSIvo\n4ntQUwoVy82k7ofPgcg9l2iCjpdl7+z+MVGQvJtrK1AvPbJxMvaeXIOB9mIsOCx6N+0d+wIMuwIK\nfwW127p1rn2to/dcQlDlKvP69W2w8c3gxtIJe+saDLSb7ICxUXuuXREREREJHiWbwlDTpbV/kgjP\n9of3B4FrDywD3/TYB/qatifHQt52mLOjsV5gxFO01Zho6dS5bT9kXNB8RErqcSYx1OT4X/SGB/qY\n3T/rBec6ilu3NeJKOGmh+b30PdjyKSRnQmx/UzbuXrNKXyf63DcCvkyHx1NNWQQwM64xgbIrttqt\nUPYBPBfNGK+J9ck0eGlAF94DgNQpcPQz4EyCzR+3miC9p9qLIVDe2f3fZ8A7A9tvN7BdPATWDen4\n/J2N+/FU83mkONppL2E4YJmRbRXLunWufS3QhxNdcElC63IJQYf+Dk5bA0kHQ8SeTRjvDYFrbZiz\nMSnUtLyn7b40AL7LMH8/90S7IiIiIhI8SjaFoaZLa9+7DUYXwYnrwWO33t+Ttk9db9qeX9W6XoRl\nvk68NRDm9W/7+DZZDpj4KKT/qLFs9A0w4aFmx1+UACMbvgxlxcJ5SVEtWwJfLdgNnR5xJfhqYGFO\n4/xHvhqoXNPhfEjpSelsbahS7DWvqREwf4BJODXr28LL4b2Twe9lbEIKAF/XQmYURFmdfA8A4oea\nx/tqNsPbk2Hj2x0f0wXpSelMi4WKYXBxQvPywGt6JFQOg+uT294PsLgGSn2t97fcfr0Kvqxpv15X\n4gZ4s2HwRYKjjfZqt8EnF0LtFkjLMtdUCAj04ceJJpnaslxCUEQUxLvh1ELzN2g/F7jW/tUP/tin\ndXlP263wQ2Et+FqUi4iIiEjoCY1vWbJHBZZ/B5MIWO6Fsob/uu/p0ttN215Tb9qu8Dev43K6yDk8\nB5fTxWovDI3swrnrdsDWRVDf5FEObyWULwO/b9dy4g/ugEcbRlLNr3a2vcreh2fDGxPM76OuNyOa\n1r8Ejob/r7767/DyUPPIWgd9jnG6sFbAXQ1PZCU23FmPpZrE066+1ZRB78PhhI+YeOSvSYuK5Yc6\nuLqsC+8BwKYCWP5niE0zjwHW7+z4mC7Iy8rjT6kWCQ4Y3Mbnk5eVx/HxUcQ5zKOSbe13OV2csRFm\nb2y/b4F6MzbA4Wvbr9eVuF1OF//aCdYKKKpvoz3POijKN48eZr0DfY7q1rn2tUDfbGB4FBwc1fP7\nVYLItqFgOqxpmAjb7w1uPJ2Ql5XHpLgYJsbAiQ2J9D1xDQau7VkbYFzJnmtXRERERIJHE4SHocCE\nq7kFuRSXFxNhReCzfWQkZZCXldejCVnba7utcxyTfgxz3rudn25e1/lzb/4I3p8FJ30OKUeYsqJn\n4Iur4cwNzc5f4ikhIymdo6blcVhb7dZXgLMhU1K+DGyvmWw7ICbNvNaUgmtA6+Ob9Llf5bfUL/sT\nP15fTXR8BtNHzGDWmheY33sT56b04cjJc0xsI08BXzW4BjK77zH0qlnL8WvuI2sd9E/swvu/9nko\nmQcjr4Fza8FqZ7KobsoecxY131/J0tpa/lPpbfX5ZGdm497xCax9hH9U0Ob+FM9KjlxxL2du8FMU\n1XbfsjOzifRV0+ur63lgSzXLnenkZd3X7WswcFzdwqt4t2In30QM4rbp9zdvz5lgPuekg8C7E7zl\n4BrUrfPtS4E+PL7gZ1zABk7slcL4Y/6kCZRDVU2peXx38I/gwx9BZRGcsjjYUe1WdmY2GQ33/UHF\nre/7nrQL5u/21ZHFTImPZvXhc3Vti4iIiIQwyw48RnQAmTBhgr1o0aJgh9EjCxYsYOrUqcEOY/+z\n5hn49BI4fQ3EZZiyomfhk/Ph1O8haQysetIkD/qfaPbXbIHyb6HPJPPYSkDlGjOaIHEkLLreeoXy\ndgAAIABJREFUtD17e+P+eg/UV0F0SsePWi2bA1/eBImjYeZSU+b3mcnMB81qjDXg2zwz31JMKnx6\nIRz2AFRvgEN/07n3YekfYOvnMHle5+p3h98H/hqIjOu4blvWvggfngnORPPZuAa2Xa9iBbwy0vx+\n5obGObM6qdW94vfCc7Fg+2DoT+Cov7V/8DtTTb0TPuzSOYOqutRca8Muh37Tgx2NdFftNjN6sv9J\nsOxB2PQ2nLF2r5+2x/+27FwFm96BIRfv2YUJqkrgjfEQOwh2LIEfbYHo3h0fJ7KX6L/DRDpH94pI\n5xxI94plWYtt257QUT09RifBVVkE750CZR+QX5iPe44bxz0O3HPcXP3q1a23X7oT5wqbIU8cS35h\nw+Mng8+A2RXkFy9myJwMNn98Gf977azG/RtehYJp4GnxRS5+CCSOJL8wnwe/fBq8O5j40KDG4yJd\nZsW6zszpExhl5a0wr8vmwMtDeLYmDvcTx+G4x8HoOelsePkQWP+KiWndi5BxDpxTzZK17+H77n56\n/8rCPcfdGEN7xtwCk+eRX5jPS0/G8cxjFpH3RmLd0/jatJ2W7+3uyvML8xkxJwPHr5xc+4Sbzxdc\n2nYM3p3mC2Lp+23v7zsJRt1k3pOdK9vvizMeEhqSTXtionNfDYy4yvxeubr1/p2rYPOn5C95hnnF\ni1i/8aNmfW/rGmzvfe2sQLs9bQd/PbzQHxJGtJloau9z7sz+jo7dXV+606fOnu9A0uy9+20q1rxb\ncP9jJi9FHgzTOr8aXWevp73yHicMM4+evn4IlC7o9rla1n97yeNQu5WFrvFctqMPMb9Nada3lv8e\nhMP1IqEpHP+2iYiItEUjm/ZTB1Lmc7eqS+GFfnzR/2KmfvrfVstq747L6WLuLPOoRX5hPjnzc4jy\neXgqDf65E16tbdifkgIfngXHfwApTRKwn1/FR7UOTvrwH/THw0o3XFoK86objhs7Gz44HTLOh6EX\ndxzQjm/NI1l9j4Evb6F++cMcXOLg/+Jr+Es5+GxYMwQ+HXgFR6eONiNqxt5KfmE+j755GZfG1XLX\nNlhf37xvbarbwb+XvsDlr17Lf/p6SIuACW0MinA5XVxyyCU89c1Tzd7b9sqdDieWZVE4qI6XqyAj\nEjKjLRYf/kzrWF4YaEZjOaLg3Jq2H+WrLoXVf4OM88yk5u2p2QwVS6HX+MZHGzup3XulssiMqmo5\nOuKr2/Ate5DENU5ifdVU22Zy/EDf63x1HZ6zw8+nicC12da13ZV2AKjeCC8MgLF3wKDToc+Ruz1P\nW/dIW/uB3R7bmb50pU8dxXogatnnSTFmJc4XqvbO9dTee3zTsJv49bm/7n5HVv0N/HXm0eWJc2H4\nFV3+PNuqPzA6ltzRU/n1sgVsqK3uMIwD/XqR4OvOf4eF4982kbD5ziLSQwfSvdLZkU1KNu2nDqSL\ncbdsG769l9Pff4yXt27ixmTYUA/zKtuuPqcP9I+EczeZ7YykDIr+7zM+fc7NrzfX8lqL718ZSRkU\n3bDGbLRMhjwbw2M7o7lqQwVHxsArA+CsDfBhTZPj5sXBiKth/B9234/SBRDhgj4TzXb5Mi7NP5b3\nt29m9RC4tsz06aok+Iz+vHndBlPv3RN5evWnXLK+dYczkjIourGo7fO9MYF3N35PVkk1x8ZCtAXl\nPrivD+zww9kbG6sG5stqKVCeFgG/6QPXlUGVDe5IkxS7rgwcFoyLgl/VtoilvhrmuSCqF9h+8/iP\nM6H5CYqeBU8xjL1t9+9dxQ9QVQxp08DR9WnkWt0rO1dB3TYzEXtbo9IW3UDJ0kfIWF3fYduxFlyY\nAE9UtN6328+nCfcct5m/DHiz4UnCpyrgmZ1dawcwI5uqiuGrW2HLx3BW4+T1gfO0F+fu9gNsrijm\nz6lw51aT8GwrtpZt/KufmQD/7q3wUU3zNnfXp45iPRC17PPmoVDth/QiOCQKclPjmH3e9xC3+xXY\nmrZzdRKcFW8WePhxKdTZHX/eadFpbLp9U/c78mI69J0C/U+A1GMhfmiXP89A/dPiYGwU3N/w9HLg\nb9IMF/yhL3xcDVc0Gex4cBRck2z+nvp2077IntCd/w4Lx79tImHznUWkhw6ke0WP0UlosCzIvIv5\nW82X5j/2hecapuyxgF4O8xowIw5imhSUlJeAFcnRUbUMc8KRMRDfar/VOtFk2zD8/3it3GQRFtZA\n39Um0dTsuEPyYMApHffjq1vh43Ng8c3gWQ9Jo3lq8xbW1JvEwrp62OyDe7fB29s2mXmkyj6CrV/g\nqTOJpn4RcE6TQT0l5SXtn8+7k9I683//P6iGtz0mMRRlQVSLqoFE01nxMMPVuvyIGLg0EU5qmJpp\nkw+OXgv/3gkP7YDLy9qIJSIaZv4AM76F2TtaJ5oA1v7PzEmz6V3Y8Hr7fSn6F7x3Inz5U1j/Wvv1\nOmvVE/D2ZNiy0DyiWbmm+f4Jf8LdkGhyR0LBQJjaMPVMJPB4KlzS0J3jXXBZEoyJgo8HwZVJjc3s\n9vNpomm9KMskct6tbnt/hxyR5jGmlCMa5hRrbCjQTnKLv+qB8sDrodFweaJJpAXKS8pLSHCY6+Dm\n5PZjKykvoV8EHBFt/vFwNvTJ0eL26qhPgf0zXHB379blB6JA3xIaPp9nd8Kfy83vKREwO7aq9bW6\nm3YAIhrae3anGTnZdH/T8702AC5quKbLanvwqKrth+RxZvTm0B/vGq1YUl5ClAXXJcHAJvni9j7P\nQPnkWJPojrcgJxEuTzR/k2ptKKuHyBbX1VVJ5h48Kmb37YsES+CavDIJMqNal4uIiIQTJZsk+LZ9\nxbWpKQCcsQGuafgudEg0bBsG/hEw2mnKrt0Mv28yh3d6UjpEJfObymQW1cJ7A+HXKS3223549WBY\n+kDjDsuCCX9iSWSLibubHgcw+ibol9VxHyLjICIGlv/RzE/0/e+5IrUPYEYcvFQFI51wahwMSxoM\nJc/BO1Ng/APM9/cD4JwEk2jLiGwRQ1uyCvhjbfMJtz+rgWPXwZkbYbgTEhvu7ggrAjCjwl4daEYS\nNC3/qhbWeqG+4ctqjW3a2uo3yYSMSBieNLj5+S0HJI7Y7Sp9pEyAgafDd/dB4d27efP8EDcEVj4O\nZe/tpl4n1e0wX4JtH2x8AyqWt6qS3jCap8qG6a7GLwX9I+GyRDiv4Yv5tFgzmmKVF0ZGmURNYxu7\nH4HStF6MZUZiHLsOLiltHDnUlXYA2Pg2fHSu+aI/u6LZBM2BdrYPA3sEnOhqXh54PSMOnkgzScZA\neXpSOqU++KQavE0Gu7aMLT0pnfMS4PN0GBAJszeZPm3xwQmu9o9r6z0B+F0fuCul8R+iLr0XISbQ\ntyI3PNgHrtsMv2v4W7bSC//0xEN0n063k+CAh8vhyLXwcpW5vpruD7y6I2FCNMxqSCanRqd2vxOW\nA6a+AiOvhvWvmrnpGs41KQYeSoW3B5rEedMY2uvD61XwQx1kOE1S9+yGZHtBNUxdbx5rPiYGJjbc\nd7lb4YbN5n7cXfsiwZKelE6KAx5Nhc8Gm8R8oFxERCTcKNkkwbfmGR5MruCYuGgW18IjDf+3f3qT\nhY6Ob/gi+5an8XEdl9NFXlYeOCJJP/rP2BEx+IG3q1vstxxmrpumk0XXe6DsI35/3B24nE2+JTc9\nDmDrF7D2hY77cPwCmPo6pJ9r5gla9gC3uA/G5XThbIj/Z73Mo3r3TrsbYtLA4YSUI7nguD/gcrp4\n2wMb62GIs0UMbXEN4oZpv20VO5hk0go3nOQy7eQcnkOSM5Z1DQmOE5qUu5wupsWaL3EvV5l5i65K\njuDehtEmp8RB0RD406Qrmp+k5L/wyUVQ/j28PALWvdQ6xrG3wWG/NY+zRe1mValx98Lpq2HYTyD5\nkN28yZ008TEz4ipxNBz0i9YrAb4xgZcPHo/L6WKzD27fAh/XmL7f3MtBhNX4GOfPtsARa83jSTds\nhqcbHqfr8PNpIi8rj/v6RrLabUaixFnw11Q4M65r7QCw4xsomWce2WwxWi8vK4+hMTG7tke2uI7y\nsvJwOV1s95v9ZzQ5f15WHucmRfFiFdy+tf0+5mXlMSI6ku9r2XU9AdzaC55Mbf+4tt6TflGxHNTw\nRSzO0Y33IsTkZeUxIDqW3hHN3zuALZYL68jHIPmgTrUzKiaG7UPh/Iak6Lnx8Je+rT/vBGcsHw4y\nj9k+Xm72Xz7k8u53wlthVtGzbbPIwbf37jpXH6fJ2I6JMn/vdvd55mXlcUpCNKfGmfvruzr4tDaS\n7b0ntfqb9o80yO1tRuz1cpjRlpt8B/71IqEpLyuPITExLKkFl8P8TyRdqyIiEq4i7r777mDHsMfN\nnTv37pycnGCH0SNFRUW43e5gh7FvVK/HUbWGs+N8ZMV4Kfb6OK13CnXui3lk43pe2FFJYcQg/jJi\nLIOtaj6tqiEjKYM5J8/ZNeHmuPp1uJMGcdqKYhbvLGdwi/0kjDRzAsU2PKNXvhTemshBYy7FnXEK\nizcspqK2olW7FN5tliUfc0vH/YjqBelnm3Ns/5qUjDNwDz2DFRs/56O0Cg6KtvBEpzFhej4kjIIB\nM2D9y4wbdRHulNG8uXYRd20qx45rEUNLfh98eDbjBkzEnX4Sizcspry2nAgrAhubWtvB7b1tVljJ\nXJT1KHdMvoPByW6uXraICY5yVlq9ueL4R7hj8h24k93MKn+FkU4fHzvS+dOMh7mYlWTY23lsh5+x\nif04N7aSEZm3mJFMASvnQvG/YeztsOTn0HcypExsHueOb8ERDYNmwpALO37/Bp4KvcZ1XK+FNu8V\ny2FWE+w33awoGGDbsOha0jJOwz36MhZvWMxrOyqIis/goRkPcaK1nrKqUi4vtclIyuC8zAv4vmIz\n5bXlfO+NoKTebn2NdGBc2jhGrX2Sktoanij34bccPJZq0yfaxUnTujhprL/WjH7plwWvHwZYu1ZC\nHJc2jj6Jbq5bupClVTv5KmIAd5/0UOM9kjYOd7KbR1YvZphdzraIJM7LeozszGzGpY1jwtbXmGBv\nYm65n7HJg7j/5D+1im1c2jh+iB7G1UsXsbXJNXdwtEVmFLxCOg924r0ZlzaOkbHR9Cp7l0tKbbbH\ndO09DUXj0sbRPzGd65cupKBiJzWY927X9TRwjFnhMTqlw3YO95WQvvNLfrkVtvkjOD3e5tZeMHrS\nQ5x3yE921cuMiWT0tnf4cSkUOs15DnUc2v1/W1b9FQqmwogrzSTh/loYdCbj+h2GN34op3+7iAy7\nnJWOvtxwwl/a/TzHpY3jiPIFTPUXkbcNju41kOOO+wvnTZ2DO9nd7G/acKdNRkwMk9OP4W/xxXxd\nC7emJjD7uDmcf8iPu9cPkU7ozn+HjUsbR1ziEK5YupgobzlbI3tx6fGPHtB/20TC6juLSA8cSPfK\nPffcs/Huu++e21E9TRC+nzqQJhDrFF8NzB8Bwy43iaDNH8AZ6xtHb9h+eD4VBpwKRz/V+vjXD4Po\nvjD9rc6db8tn8M5xcNwrZqLb9nz/Wyj6N5zyVdurrQFUrIA3jzBxJWeC5YS4Fo+dvXWMScYc/scm\nbf8evv4ZnL0DoppMBlS9CWJS257cGqBuO/y3N4z/I4y+se06tVvNaKJAzNu/MY+WtTW30udXwcrH\nzAikkxfBsj+apMyYm8FXB94dEJUCjojGY9a+COXfmlXRSp6DlCPNXEIBvlp4LgYy74XMO83E1thm\nNFdLrx8OqVPMSKiazV1OODW7V+q2wytjYfwD4L4ANn9iRmMMONns9/tg/csQP6zxPFs+NyvhDb3E\n9NvnMfNMFeVD9TqY8iLE9IEdhbD+FRhza9cnMq8qMbH1ahi5tfzPJqngPr9r7QTYNvy3F7gvhCP+\n3LVja7aYc7e8nr/Ng9otZp6tYZe3PSl+vcc8LtretdlVtt9M6B7pAtfAjusfyJ7vBwNPgyM7/Hcb\n/F7Yugj6HGU+x+3fwJpnYMxPGxPqAd5KsCJMoih2AAtWp3T/35YvfworHoVz/r+9+45vq7r/P/76\neK/Edva2CQllJYzSlBlGmGHPUqBlp5Q9WjY0KQ2lP1oIlBaaL7PFlFlGmC1hU1YSRhgpIcPOjuM4\nXrJjWz6/P86VLcuyrQSDneT9fDz0kHV1de6548jSR+d8Tk3r66eh2vce7TWq/ffJWAvu98nuMwbC\nrAtgv5dh4H4+H1w053yZH/7St909/gGvTYB9Z8DQIzZuP0QSsFGfw5yD8jmQt3Pr/5kim7Et7juL\nyEbanNqKZqNTsGmTUTS3iOtnXsvKyhKG9x7BtQWjObHmNRY1OC6sHsJehRPYu/QpersQ963vz4R9\nbm8zHfvQWeewX3odv6rsyy573dHm+Zffvpy+Dau5q8LPdhSZ9aggdwRTJ9zc7q+ORXOLuG7mdZRU\nlDAidwQTR0/kxfkv+tnFgjJO6DeQJ/JXwf7/hvd+DgMPgLFTIGt48xenos/+wXWv3dBcztGjDuKO\nynsBKFxdwNQJUzl1zKm8+c5l7FsyjV1LYG1Gy/JWGirhi1v8F63+e3Z6bK+beS3/7VPCrMYsqna7\nh1NHHwSZg1qv+NGFPrhyYnn8gjo4JnHrGFoKzwyHcX/jhfK1HPL1NZy0AuakFDQfw8jr5w9aReqo\nSdBYDSteomjUrR2WH9l+9DkoyPXllix6muf7rOQX6/qTXHACx61+kP7UcnRF2+02lzvnCpj/Vzgp\n1PxFufSZbegfms+qRth97Qh+N+FmTs1aDx+cDUcthJytNvg6KchtOZ/t7UPcYxlt9duQkkPRsi95\n653LeH9dKV80RK7pJN4c2sTTDX2ZOPZsDsgf4IMP0cJ18FgWjL0JtrkAUnPbBAdWPrsDq9d9w86L\nG1odp6K5RZS9fwEnplew79oR/CZeu4kEBhLhnA82PZYB2/2aouQdEjrvHV53CZyTRF8fr6zo8xV7\nH+/8ttnW4kdg+cuw+/2tApZFc4vYec6ZfFzbwBmr45efyPZi6+dcmOHBehPnX8MXlaXsU1zXadnt\n3WdaEgOSmyC7gImjDmP2whksqFjG/llJPDG4iWPXDmJY4VGsKX6WN8tXsbqp832YNHIc11Y/AcDh\nawdzyr63tjnvN8y8lrrqEgb1GsbeW0/k6NJ/MLW0lrfqOi6/b6bvJVZWW7bR+7yp3Wufu7cu26Ql\n8b+CJq6r7EP5sJMoXvwsi6pW8HXD5rvPW/L51j5rn7XPm/4+J/T5u4tsTt/vFWxSsGmTUDS3iPNn\nnEtFYS2/KfOztQHc3Bd+lQ99FvgZicpGwpS1/vms1CymHzm9+UvWpBmTOCw9xJODYc8l8Gm47fM3\n54Y4szfkLvSJs/sl+/xIta51ebF1mzRjEqGGEAZEt5QUYFCKz72SmwTjs9P52f53cOKKv/oZpRqr\nYMIbMHDf5nI+HBzi83o4OZh1vG5ruGMdXFXm63D6TqfzyucPsmB4LZeXwu3r2q9bp776IyvmP8So\nzxfS14WYV+ATEu+YkcJFeUbKyXW+d0pDle8FFa7zPXp6jYK1syF/15beVu+cBP32gG0vC/blXCam\n1/JBHSxphDPz0jhnlzPZc/w9revQWMujXzzK5S9dwPIRtfyqFP60zj+Vbn72rEbgiF7p/GKfyRyR\nWknjV38kb1EK9Q21mPlcSfHOd6ghBPj8R8kGlUEeorwkn9T73To/HfzUvjA+E/ZZ6p8flQon5sCD\nlVCRFJSb3eh7a+z5MLxxOG/2OZz/fHwXF/Zu4NJSeKza1+GpCVdyaNXr8KO7IXe7NteJawxR51pf\nJwD3D4TyMFyxpuU8P/TpgxyW7pOLPVcNQb7jzs/3S7uwrBG2mfs1oYYQA5N9vqNVQa6vuQVw5irY\nNSOFX+Ylk3JybevgT8U8eGE7P+yx9B2fTT5zkO+JVvUN/yz+kJteOZ/iujpCrqVOvs4P8erAEA7Y\na2lMXevLYcYPYMcb4AcXJXSJ8tEFsOY9aKhiYcogxnwyh/qGEMnmZyPr6Lx3dqyi1882nwg+VqJt\nK941NzDFJ9Qvicm9FH2s4ta19i2fA+741W3Kr20IkRWn7MIUP9tf5P1qv0yfWP2cVfCNa9neIEIc\nnAVPVvuE7X2SYOVI+MVqeLg6lcvzmhiQFOb6Mp8Iv8nB4mAbI1L8++yqRn+s8pKgTzLUNsGKsE/u\nWJgKoSafLwl8gvLKreG3ZZBqcEEu9F3oE8cXb+Xznd1aDn2TIDcZqpt8m0wF9s/y+/h6kF/v9n5w\nST7kLoDG5Lbn/fkBIVKtpR2Dz9+Un9xSp2R8onGA4gafMH1Qss+bUx6G8ibIMv++HXZQHOx7QYp/\nD1nZCCGnclXutyv3oCw/0cfoxbCwAUpH+kT4p63ysy4OSPGTMCwJtrdVin+LXt7oJ+eI116GB9tb\n1OD/vwxJhowkKAtDRZPKVbkqV+Wq3I0td3m47WfO79Lm9P0+0WCTEoRLt7pu5nVUNvhvHD+PGuH1\nRLWfla7awbom+H05fBQkBg81hLhu5nXNrw81hHihBg5a5teJ9/yyMPytEgw4OQcWFMLHI3ygKHr9\n2LrtmBQitDUcGpOHuyAVlmzlZ0+qaIIZVev59Zu/h4Pe8cEI8MNDgnLWN4TYIR2GRY2+Oms1PFrd\nsk/TZ09nYV0tOxTDtHVt97VZ3RpY8W8/61p7GioZUPU59Q0hljRC/kJ4pAq+Xt9IimvwQ14AVs6E\n57byvYr67AprP4aZB0DZhy1lrZ3th+wE+9LX1fLEYDgimN3qp9n1ZCx6oG0dUjK5+vUprFhfy+5L\n4L7KlqdWbgUvBBPZPV+1ngvfvQfG/IbRqwZT01DLW8NgfkHbYxA5nxHH5MD/CvwXAPDXytM1/p8P\n+MTn0V9Qf5wBN/cLvjxEyh15Ohzyvh9CVvU1D376MFPLGhi8yAeaInU4770HfCL4qEBTpE4NDSFC\no/wsY7HO7O2/zEfKmT57OqGGWqb0gScHt3xxid3XuCyV11Z9Q6ghxC7pcM8Afy1PzIZVYbhoNbxc\nA++EGplZl+QDiNF6jYajFsDo8/3jSNL8ii/hxR15879X8lVtS6CpdZ1DHLsCzlsdp66pedBY0zoJ\nf2eq5vthlYfN4YCvSwg1hHhuiP9yFlt+7Hnv7FhF1j8wC6pH+RkFY3V6rKPKamoMNZcxMdsf89eC\nUX/5STA2raXMyLHaKQ2Oy4nZ1qCD2vQ2i9TVAYcGZb85rOX5WSP8sr2DCRNO6+VnElwTbr29g7P8\nDFiR2Th3TvdBoMUN0NDUwB/WhrlijS9nQaEvN+LNYX7ZIUGbPi/XP37Qv4WRl+QffzYCTgr2qarJ\nB8DWNcG1ZTCq2AePSxrhf/X+Ax/A9X38a/8YtI1RafDKUF+2w98uXQM53/igcbzzXhb29c6Kipte\nmOfLvTeoY99k/3hBoQ8gQEv7uDTPP94v2PcPokY5vxPse2QSCpWrcr9NuY9XQ78FfobJJuDVUEvg\n+Njgs8fLUZO4flHgl/0wGD16Q9Bebo1qL5HtpQfX/2OD/ePTe6tclatyVa7K/TblPhtkHkj0M6Fs\nuA1MPCLStUoqSgDYbjHNs2QBfLze3yKuL4v/ush9nfMf6tp7/p4KHwl3+F/Tf7bS/0pZ0dR6/dht\nrAl6zuybCS+F4Khs2DYNpgcz5u2T6SPiu6XD5LUlPidS4Skw5DA/K11QjgPGFPuofMQjVa23F3Y+\nQvJlffx9bbZ2FrxxGBz0bvvD6IYdw6SZN5FsfrRSfRA8eLQKXqiBkkhel5pF/j4tz+dESUrzOXmi\n8y9tf3Vz4KykooS9MvyXzHeDXglv18Lg+np2jd7+kqdh3m3UVhcD8EFd6+o1AQdn+18VzsmFeyuK\nITmd4oolgO9NsXsmzb1SYs/nM4Ph+RrIDH6Z3i3Db2NyH/isHv5V3bKtZHxvtvImqGmC10Iwrz7m\n2DY1+n388f28/M+z4h7SkooSaKz1gbmopOMlFSVEvgP/rDdctsbv18Rsf45PXQmvR12bkfN8/Aof\nNFgVhpGpLb/YxLsWmx36IadP8b8RLGrwQdmnquHDOigNw13Bdfl4NTxRXUdTSnbr1ycl+9xd6f3h\n8K/83wAhv80P1q0B4OGBsLYJLi5tXedVYX9rdUzA/+S073Mt5SVilz/6Y5nai5LgvK8J+x4z/ZP9\n/sSe9wcHwqw63zOtuoNjFVkeOc+HZcPn9XBxHmyb6t9P1jZ1cqyjyjokC14aChOW+mP9s5X+FzWA\nhwf5XmXb+0u9+VhdlOc/3DxT7a/3kooSP4FAO3UFHyz/2Up/nUacvxrSDD4P3g//UgEPV/lf46K3\n90AlrA239ND4ZD0cs7yl91DE5+v9NuqjAoqXl/oecrOCdjqjxvfaXBGUVe38ayJfniMOX+7PE7Tc\ng+8wVxY8LqqC2etbgk/LG31Zn0a9v0Pr3mex5/2MVb6XVHQQ9JlqX+ayoI6VTb5c8D1MwAftn6yG\nucG2Pq3369RFlXPJGh/EmrNe5arcrim3LKr9XlLqf9QC3+P2ZytbPncAnL3a/4/6OmgfD1fBrPW+\nVxS0tBfwv8gD/G6tf4+MtFeVq3JVrspVuRte7hPVvmdqZPRKIp8JZcNpGF0PtTl1s+tI4bRCiiuK\nN/h1BbkFLL50cbuv7+z59taPV7e9MvwXo2oHzw32waZtimFAsu9Bc/cAOC4bxq0tYPER18GC++Dg\n95qHLyVah8jY4W1S4ZFB8Os1/otim7ote97nhjrw7Q6nSi+cVsiyimKWbwVTy/2QvTb76hzUrYKU\nHHiiF+x0s0/UjcXNvdPZ8W72xS3w6TVst3o48yqWsGs6/CEY+lPc6D98VzXB4dnw3BA4au0gnjv1\nZT5/bhyTVtYzr973kqhqal1+4bRCGmuKWbqV/4J8XyXslAbv1/lhQOUj4c8V/thFzC+At+vgrFVt\nj1FBbgGLL54Pj+f4ZOdjJ3e8j1un+yTfez/e5piMSPGBmPUOLsuD2/rD8EVtp7mPnOdXX5L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632QaqV4ZZrF3zbqgKOzPG9wKqafOBsSdQ1G2/fHS09l2odPBYkqa93fobCbPMBq/+rbb8cERER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\n/j9dtEl48yuiFAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f110f842f90>"
      ]
     },
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   ],
   "source": [
    "#Gerando o Gráfico de convergência:\n",
    "\n",
    "x=convergencia[:,0]\n",
    "y=convergencia[:,1]\n",
    "\n",
    "py.rcParams['figure.figsize'] = (20.0, 10.0)#Redimensiona a figura\n",
    "\n",
    "plt.plot( x, y, 'go') # green bolinha\n",
    "plt.plot( x, y, 'k:', color='orange') # linha pontilha orange\n",
    "\n",
    "plt.title(\"$Teste$ $de$ $Converg\\^encia$\", fontweight='bold', fontsize=25)\n",
    "plt.tick_params(axis='both', labelsize=15)#aumenta o tamanho dos valores nos eixos\n",
    "\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"$Itera\\c{c}\\~oes$\", fontsize=15)\n",
    "plt.ylabel(\"$Erro$\", fontsize=15)\n",
    "plt.savefig('Images/conv150517.png')  \n",
    "plt.show()  \n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------"
   ]
  }
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