akibmayadav/Assignment1_Ambika.ipynb Secret

## Assignment1_Ambika.ipynb
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MAT-201A ASSIGNMENT 1\n",
    "## Ambika Yadav\n",
    "\n",
    "Sonification on an Image\n",
    "Here I have used a spiral image and performed some operations on it to produce audio which is in the audible range for humans.\n",
    "The image I have used here is a spiral image which helps in developing a more pronounced waveform. \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "import IPython\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from scipy.io import wavfile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "img = imread('image2.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using a spiral grayscale image to create more pronounced sounds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1100a73d0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ZMsv3EhhjuOKKK0zfl7YfYYNYvArAA4yxpYIgVDLG8qN+r2CMFQiC8CSArxlj\nCxu+fwHAh4yxJko2Eo0JZsVP4twoO3Om8Ne//hUPPfSQ5TYpeJ82RDqgQuiCIMRwY1b7RqU7CwoK\neFjdb6GAfKZB63379u3o2bMn3+zEBZsB1Zm2EiYWDofh9XpNzZckSTwcz8h9dICtXLnSMBcajfPO\nO88UcQqHw8jOzjb1jGjIsozKysq0y8PW1dWhVatWAA7tOULDYZJZP0JBEGQAbwFYwBhb2vB1uSAI\nbRt+bwdgf8P3ewEURd3eseG7uCDnSKviZ6YiUWhzPP7445g1a5ZlDo6K6JCBIR1OkIwAf//73+F2\nu7lexcziiS5axBjDM888g0gkwi2czZXDsLH7TPT30X8ncsVp3IZZ0Nh37dqVx7G3adOG59sz41FA\n97hcLuzevZv3zYhoRhZOM4e8oiiYNGmSoWuB+nf94IMPLDvKf/rppwCMuw9JkoRVq1ZZVmuRj2u6\nUhLlECX9eDQtSYS0OEJBEF4BcJAxdmfUd7MAVDLGZiUwlpyGepF4OZIYS9IRw6qrq2G32zOymRlj\n+N///ocRI0agrq7Okv5B0zTk5+ejtLQ0Iy5Buq7z8oxW5490R3v27EGbNm34IskkBx0PVAPD6XRy\nQhcMBhGJRLB582Zs2LAB//nPf1BXV4fs7Gx06tQJbrcb/fr1w+mnnw5JkmCz2Xhy0EwYgkKhEBwO\nB7p3744DBw5YykwuCAIeffRRTJw4MabIfCJE+06aiQgRBAH/7//9P/Tt29dw3zZv3oyTTz7Z9NrV\ndR1jxozBggULDPWP1pTdbud6W7Og9ZHuvFLFycZ9SGQsievUauQD4EwAGoC1ANYAWA3gIgD5qLcI\n/wTgEwC5Uff8GcDPqDesXJCkbWa3201/PB4PmzZtGssENE1jmqax8vJy5nA4LPXHbrczl8vFxo0b\nx1RVtdwXVVWZoihMVVW2bNkyZrPZ0uqPw+FgX375ZUbGKRq6rjNd15mmafxvxhiLRCLsk08+YaNG\njWJerzet/sf79OnThz388MNM13Wmqip/LmOMhcNhpiiK4XdQVZX17NmTiaLIbDYbkyTJ1PwPHz6c\nqarKIpGI4ecqisJsNhtzOp0p25dlmWVlZbHKykrm8/kMta9pGnO73ZbXsZnxY4yxWbNmMUmSLD3L\nZrPFzJ9VfP3110wUxSbt15O8pjTnNxtrbIUjpPxumeISRFHk6cytKoFvueUWzJo1C6IoWuZQFUWB\noijo16/MWcpFAAAgAElEQVQftm/fzifP7HtqmoY333wTI0eOjKkBkimQSLNu3TqMHTsWO3fu5LHc\n4XAYDoeDh49lMo0YZWomi6EkSRgzZgyefvppeDweU2MViUS4tb1du3bw+/3cem4EqqqioKAA5eXl\nhp5LiR4ikUhM9utEIOu4qqrw+/2G5o81cN35+fmmJQhN0zBhwgQ899xzhu+JRCIxKhszEBrKMXz8\n8cem740Ga+C0G7/vEZd0wQwhtDcUWiKRJp1NRuNBA2kVkUgEDz74ICZPnpyWWwwRFypWbvZe0rEO\nGTIES5cu5en000UoFOIEo6amBmeffTY2b96cMb/FTEHTNHTu3Bnffvstd2hmzHhWZ5/Ph3bt2vH3\nNQqy2ho9bHRdxxdffMHjZVPtS13X0b59e2zbts2wUcuKEYIc56nwlJF9yRjD4MGDsWbNGtO6etbg\ntpWunpAyijdei0dc0gWzqKury0j2FPK9ysnJSYuAPfnkk7j33ntht9vTmtSff/4ZTqfTMufGGENl\nZSWPgMmUC8zq1auRl5cHp9OJDh068ALgv7X8hTabDb/88gs6dOgAj8eDc845x5Su12azoaqqCv/7\n3/9MPZeiLcw4QQ8cOBDXXnutob4JgoCysjK89NJLhtY8Y4wnYDUDMgZ9/PHHptbgp59+atmZPRNr\nVBAEDBkyxPj1RzJHSFW9Fi5ciMsvvzwj4paiKCguLracVUPXdbz++usoKSlJa0IjkQimTJmCBQsW\nmM6+QxEJixYtwujRoy33gcAa4pPD4TDat28Pv99/RPoUEux2O5xOJ7Zu3YqcnBwASCrG0h6prq7G\nkCFDsHHjRjidTgSDwaTPsdls3InaaORNJBJBu3btUFdXZ4iI6roeU+UvEUidctZZZ2HTpk3cDcco\nNE3jVm4joMzfVl2w3njjDYwcOdKy8U7TNGzcuBGnnnoqVz8AR6loLEkScnNzsXv3bl6fIh0wxvDg\ngw/i/vvvN82BkQg0bdo0/OlPf+KZZKzktWOM4dhjj8WuXbsM1/BtnKDB7/fzDWw10Si5mtx9992Y\nO3cu7wv9ZhWswf0lOv1XdFnPxu8UHaKWrusRPT+6/UWLFnFHa6qrHL3ho9UllB2osLCQ6yWTEVB6\nJwofSzV29AwzlmSbzYbq6uqkjAA9V1VV5OXlWUptZzYWeM2aNTj99NNNPweody+qra1NSxISBIFH\n5dAcHZWEkJmMiUyFqqoqdOjQwdJG0zQNAwYMwH/+85+0jBCapsFms5kOjyP/t3vuuQd//vOfIYqi\nZa6NssAUFhYiHA7zWN5MjDNj9RljaN7I1SQUCnGjCqkTSE9LldaogmGmC7zTIbpx40YUFhamdHGi\n6ms9evTAwYMHU4ax0XtRTedU80rGjby8PMPvcMUVV2DevHkpxyUUCuGiiy7C119/bbhtQps2bbBn\nz57UF+JQfLVV5oScq9PVZ5Mj+VFLCL1eLzZs2JB2rQLgkIU4NzcXACzpNk455RR8+eWXlokFRYpQ\nYk+j8xLN9e3YsQPt2rWz9HzKQRcMBtG9e3fU1NRYOhCIy6M8iLIsQ1EUXHbZZZg0aRL69++PrKys\ntIiqpmnYsmULli5diieeeAIHDx4EEJvNJx2H65qaGk74kxEtRVHw0UcfYeTIkXA6nZyYJ4Ldbkdl\nZSX3/0xFEK+88kq8/fbbhsZKkiTU1NSkPEDpgKHkD2YPFFIHGD2kBwwYgNWrV5t6BvUzE5FheXl5\n8Pv9vJ2jzljSv39/Xt8hE8jKyuIntlnk5ORg1apVaSeRzcnJMR00zhhDTk4OqqurUVBQYPnZwWAQ\nXq8X7du35xvKLMjNSJIkXH755QiHw6itrUUkEsHrr7+Oc889N63U7gRSHUyZMgW7d+9GOBxGIBDA\niy++aFnsi36HgoICDBw40NA8DB8+nGeISbV2wuEwCgvrw+uNjMErr7xieD0qioJWrVqlPADIjatj\nx46WrPvvvfeeqT3y9ddf8+JUZnHrrbdaui8an3zyiaH+HnEcIcn+1dXVaedAC4VCsNvtOOecc/Dt\nt99a8rGSJAmVlZVwuVyWFhZjjMf4Gg2qBw5tpOHDh+PNN980Tbgo153dbkdRURFqamosncCkQGeM\n4f33389obWirCAQCqKmpwcCBA1FWVsbjiUmnZwSUwowSJBjxfaRUWalE97Zt22LLli1cBZIIqqoi\nEAjwqntG+v7GG28YyuKiaRqys7NN+8eS1GB0vWmaZrmWiizLqKqqSjvkk+YPOIo4QhqcTMBut+PH\nH3807RpBcDgcCAaDlsOJgHq3n7y8PKiqapqjXLhwId58801LzwWA2267DS6XC1VVVdyR2Cz+8Y9/\nIBQKQVVVnH/++Wm7L2UCLpcLbdu2xdatW1FVVYWNGzeibdu2pg4qStnVsWNHlJSUpJxfyqpNXH0y\nlJWVYerUqSn7I4oiPB4PhgwZYnhurr76akPXAbCkfzOrNqLckFZASXbT8Uslz5JUOOI4wiuuuALP\nPfdcWhZiemerVbgoSenevXuRnZ1t+bRSVRXZ2dmmF5eiKNizZw86dOhgqu9kEVVVFfn5+aYql7GG\nZAIOhwOKoqCsrAzZ2dmmszX/WiBr/IgRI7Bq1SoEAgHDxiRJkhAKhaBpGo+TTgRFUVBYWAifz5eU\nAxVFETt37jSk46Z1mgqkk/3jH/+IRx99NOmcaJqGqqoqFBUV8XuNQFVV/PGPf8RTTz1l6HrKtpST\nk2PpkCQ1jVU3HE3TYkTzo4IjFAQBL730UtqWJNrUrVq1MuV7GD2RS5cuRV5enmUCEAqF4PV6TXOB\nglBfXKhNmzams80A9Xn0srKyEAqFDPuSkajXtm1b1NbWQlEUXrTHKIgQNe4THQLRv0XHgDb+LVHb\nqUCGj2XLlqGurg5PPfUUf0aqg4h84rKysvDLL78ASMwZSZKE0tJSdO7cOamqQ1VVdOrUiafxSoW1\na9cacs5XVRVPPfVUyusEQUBBQYGp8EGg/v1efPFFw7VByHvBaljlypUr0xKLRVFEt27dUs7xEUMI\nbTYbKisrM1J4SRAEzJkzh5/yZu7TNA0nnHACzjjjDADWqoWFQiFkZ2fHmPWNQJZlLoqbOSHr6upQ\nUVEBp9OJvXv3QhDqCy0ZXZiSJCEQCGDbtm38nuhs0Gbmg5K+kq6poqICGzZswDPPPIPrr78excXF\nkGUZLpeLx6t6PB44HA7k5OSgpKQEzz77LMrKyrhIbhaCIODmm29GIBDA9OnTeZr/ZNdTn0866SQ8\n8sgjCZ2pKe3Txo0beXqvRNcB9WJ8KulGEAT06tWLc/SJQBZzSZJw4oknJm2T5o4KehkF+XGaEVkp\nftiKJf/SSy9NW91y8803p1yjv3nRmLH6BKHFxcVYu3ZtRhKaqqqK3NxcSwMsimLKiIJkzyYCZMZF\nhpIKUAJQo2NAYsmIESPw+eefG+4nz8ghCNi6dSs6d+5s+F7gUOICIpKM1Vcpmz59Onbt2mWqLTMY\nNGgQnn/+eXTq1AlArAokmRSh6zouueQSrFixgrsxJQNjDJdeeinmz5+fUmxzu918LOMRW8YYRo4c\niTfffDOlSw1xVUYPsOrq6pQx6uS8bfZQnjNnDiZNmmT4QKbUcWa5O0EQLCW+jUYkEuE5Co9YP0La\n+OTblS4ikQiysrJ4dmEzICJqlSPVdR3Z2dkIBAKmkkMQ92Q2YwwFntO7Gu03Ywzjxo3D3LlzkxbC\nSXb/7t27cdppp/HNGIlEYLfb03JtSQUivJFIBLIsY/To0Xj22WfhdrtT+gPSmObn5yMcDiddG3RQ\nFBYWYseOHSl1cR6PhxeWitcWAOzcuRMdOnRI+n6hUAg9evTAvn37DM3JsGHD8NZbb6W0TJ999tn4\n7rvvTM2zzWYz5WZllRBSVu50/U7tDfk7j1gdoa7reOyxx9ImgrSwJ02aZJkIvvrqq5afX1tbi6Ki\nIiiKYjiTjNCQht/v93NRJtVCoswdNTU1XLQ0EhJHhZgURYHP58OLL75oyD2JuBxd11FaWor27dtD\nkiR06dIFVVVVYIxx4tecRBA4FJ5GY7t48WLk5ubCbrejf//+XCepqmpMX8jtRRRFVFZW8uJUiYgn\n6Rt37dqF7t27J/VioLjvRL50RLx79OjBndoTMSdOpzMl4Y3Gu+++m1LqkGXZcoIEs9l4yIfSDBqX\nNLUCqredDEcEIRw/fnza7YiiCJ/Ph3feecfSpHu9XvzhD3+wdDIxVl/5rry83BQBpo1JG9wIZFnG\nQw89hDZt2hh2HQDquY377rsPkUjEtNh+yy23wO12c+Lndrszmm8wHVCkxY8//gin0wmHw4GVK1cm\n7J8gCDjttNNQVVWVUuyTJAl79+7FwIEDk15XV1eHsrKypNdEIhGud04GURRxzDHHpLyO+jdz5syU\n11kJxYxEIti4caPh6xVFsVTEXZZlPPPMM6bvi4YRaeg3LRpHIhGUlpaiXbt2aRtIVFVFVlaWab0g\n1bMlcdYKXn31Vdx4442mFPuCIGDz5s3o3LmzoefSe/Xt2xebNm0yfFpT27TxUxEwIsqSJCEvLw+6\nrvNYYLOgwulut5uH5FH7V111FbxeLy8Rqes63n33XezZs4dbeukd6V+jRJ90ro888ghuu+22mHEg\nUJTRxIkTsXDhQjgcjoTzJ0kSzj77bCxbtizpuH/yyScYOnRo0jGura1NmjeQ5tmo+5iiKAgGgynb\nHDdunClCJQgCTj/9dHz22WeG1ydJOGaSdpBx0qzo3vjZZL3OeKr+5vygIVU/gCap160gHA6zRYsW\nMbfbbTp1uMPhYO+9957pdOWapjFd11kwGGRut9twenqbzcZsNhtbtmwZUxTF1Lt3796dORwOQynZ\nXS4XkySJ5efns0gkwsLhcMJnUQp+XdfZwYMHWVZWFpMkiTmdTp76P9X70FjKssycTidr3bo1mz17\nNquqquIp9ulZ9C+l/I/uR/T40hh/9dVX7JxzzmGyLPN09snG2+FwMJfLxf8/f/58pqoqX2v0bHre\n+vXr+b2NU9DT+zgcDjZ58mTGGEtYlkHXdTZs2DDmdDoT9s/tdhta8x06dODvkGr91tXVpVw7qqry\n+TKyTmVZZrIsGy5BQe9jt9sNlSSI7n+66ft1XWejRo06clP1UyrydLhBEikpZbvZ93W5XKioqLAU\nwkbRCWYtvWeddRbef/99uN1uw6ctKYONitCMMVx88cVYuHBhSiU2WVLtdjt3UDXK3UqSxHVfQ4cO\nxTvvvMPD0DLhCgWAi/NkJCkrK0P37t15CGUqEIdLoZJALIdIfn6pUt0LgoDVq1ejR48ecbk+emcS\n1+ONuaIoeOGFFzB+/HhDRhgj65ky9qTKt0h6YqNzQl4JZtC9e3fs3LnTtBW4oqLCcpw6Ywxbt27F\n8ccff+QZS7p165axVEvFxcWm4ngJjDFUVFRYcrMh5bBRfyvqnyRJWLlyZcpJZw3ioaIoXLFvhAjS\nBn3hhRfwzjvvwOVyJRxnSiRw2WWXwePxcKVzKiJIm0mWZQwdOhQ+nw+RSARLly7lY5GJan4EEvvI\nQt6xY0cEAgHouo4333yTG5kS6T4pVjovLw9nn302nwt6T7fbDbfbjaqqKp6CK95YM8bQt29fBAIB\nLurHG5eqqip+qDSGzWbDTTfdZMjJ2+ihR4aaRNeTweamm24y7ZdpNuv1li1bLM17OkEUgiDwCJpE\n+M0SwvXr12ekHUVRsG/fPtP3qaqKv/zlL5Zz302ZMsVUTDRjjGc9NuKnSJZLs5k9wuEw9u3bh6uv\nvjolgadkn//+979NbRBRFPHll1+itrYWb7zxRtoOsemgpKQEfr8fdXV1cDqdKevQfP/993A4HKip\nqWlygNH8ZGdnJ9TzUbLgZIdfdnY2Tj/99KTEbuzYsUn7abfbsXnz5qTXRIMiaZLhiSeeMGU4kSQJ\n55xzjuHrCVYIYTp1yhlLXX/oNysaJ2PljYCxQ5l+G9o0fb8Vdw9yP2nbtq2pZ0qShO3btxvKJ0gi\nvlm/LMYYqqurE2YDYexQZpHevXvzcLJUIJEqFAph3759PKFosvcPBAK8yhhdRyJqeXk5KisrEYlE\neBhgTk4OHA4HvF4vWrVqxfsb7S5Dz0z0XMpx1759e2iaBp/Pl9Cf02az4cknn8S1117bpE1VVdGq\nVasY387GKCgowN69e5OOg9frjbvGyN/0wIEDXEpojHA4DFmW4fV6Dfm2iqKI2trapJZwTdOQlZVl\nSr3CGDMlHjPGLPmmfvjhhzj33HMtEVF6H5fLdeSJxukSaEEQsHbtWsvi9aZNmyyFb8myzK3cZt5h\n2LBhfIOngqZpKCgoMH1Q+P1+OJ3OhASexL78/HzDRJDuKy0t5aGDRvD999/juOOOg8Ph4GFmTqcT\ndrsdHTt2xEknnYR+/fph8ODBGDx4ME488UQcf/zxKCoqgtvthtPphMfjgcfjgd1uxy233ILy8vKU\nIqXNZkNFRQV+/PFHCELyDMoTJ07kKfyjIYoiqqqquAU0Hqqrq/Hpp58m7csLL7wQ93uKJx8zZkzS\npA2iKOK4444zTBxS7QVBEExlxQbAIzaMgmKczeLuu+9OS5WSai/+ZjnCdPpF+h1yvTAD0heZdQmh\nk/G4447Djh07DBNgUpob8VujfIGtWrUy5WiqaRqPUU4USsUYwz//+U889thjqK2tTdkmpdsvKyuD\n0+lMaNiJnscJEyZg/vz5AGA5m0gyKIrCc8999tlnOOGEE/jfid75zjvvxIsvvghFUeJyQoqioEOH\nDti+fXtcsTHaJSQeiGuM9+xwOAyPx5NQzCbH72RrSdd1eDweQwlZp06dir/97W8Jr2GMYcOGDejX\nr1/StqKfLcsy18carbE8Z84c3HvvvaaThqTjWE1GviOOI0wX06dPN73ZiIvz+XymnycIAsrLy1Fa\nWmo6NRaVIk0EEkFEUcQll1wCv99vaFHQ5giFQjxYvvGmJC7whBNOwIwZM1BXV5ewD9QeY/XprCKR\nCLKzs7n6IdoqT/++/PLLcLlccLlcWLhwYVqF7lOBMmQD9XHHubm56NixI0pLS+MaLwRBwKOPPso5\nyXgES5Zl7N+/H/n5+TEV44BDhIoyuDSed8YYT64Rj1OVZRnr1q1LuF4kScLEiROh63pCQkcW+FTQ\nNA0PPfQQ/38i9OrVK2Vb0WCMYfny5ab8Vm+44QZLNbqtMkc0N0kTVlhq+QjAnDlzTJ8gqqri2GOP\ntayb7Natm6GgfQJjDDfffHNMla1kePrpp00tOtLbUYbfeM+gOExywk602Oh+4i4XLlwIxhh3D6KF\nFgwGoSgK+vfvD5vNhhtvvDHGX8tsUSozIKtsNNE4ePAgunTpgvz8fHzxxRdNiIAoinA6nQiHw3FL\nP1B7oVCI65gI5BEQDofhcDiabG4qgfndd9/FbVeWZfTu3TuhqkKWZbzyyispvQceeOCBhL9H94Xc\nmJK50dDHaIotxhhmz55tikhRvRQzSMfLgIhoMkPQUSUak4V33LhxWLJkienBttvtca2FqaAoCgYO\nHIi1a9eaui+VfxdBVVVUVVWhY8eOhtolH8aDBw8mFL3MFIuiYkMDBw7EJ598Evcaur9///5Yt26d\n4T6SsSE6rVdJSQnOPfdcdOvWDW3btkVOTg7XHwYCAfh8PpSXl2Pv3r34+uuv8eqrr6Kurg7hcJiX\nb6RN3/jQ0HUd8+fPx1VXXcXjvqP7//DDD+Mvf/kL71vjcenRowfWrl3Lfyfs2rULffr0iUvUGKsv\n55loHnbt2oVjjz02oWHk7bffxoUXXhhXwqH+uVwuQ2tp+fLlOPPMM5Mepr1798bOnTsNR+pYKb1J\na88oMlHM6bjjjsPGjRvjisa/agRJok99t6xBVVUmCIKlKJIuXbpYemYgEDAUzdH4EwwGDXnMq6pq\nqn2n08k0TWOKoiSMiFFVldlsNiZJEo/ISBaFsmXLliaRHgRd19mMGTOYx+NhWVlZhvpIERp33HEH\n03Wd95MiOqLHRdd1FolEYn6n76OjQCKRSEwUQeMoCYqCoQiXHTt28HeKbqu0tDRudIosy0ySJHbd\nddc1mTdd19mYMWMSvuugQYMSzoOu68xmszFRFBPOZyJQvwVBSDmPdrudFRcXp1xz7733nql17HK5\nkrYXD0b62jjCJF2MGDHiyIsssdIvVVUxZswYfPDBB6buIzGAkoYa5Qijo0eMZIYhKIqCAQMGYMWK\nFSkzvPj9fh7Ta6R9Xdfxzjvv4OKLL05ovKipqeHZuZONM3FrpGOMRnSS0NzcXF7APFm/qMbL4sWL\nMWrUKGiallBXxNihguTAIRcUmhsjWXF8Ph+vzUz1baO5HEVR0LdvX6xZs4anCaN2a2tr0alTp4S1\nZFauXInTTjuNczXUdl5eXpPr6T2S1TVev349TjjhhLjjIYoi9u3bxy3y8d69uLjYkKWf+pFqjVOO\nQiMwy63puo5OnTrhwIEDhq638ox4GDt2LF5//fWj31giCIJpIgjUL7TzzjvPtDKWMYann37aFPEE\n6vUdq1atApB6Q992222m9CMXXHABhg4dmnARK4rCCxml6nNubi58Pl9cEUnXdVx33XWw2+0IBoMp\n+9ehQwdUV1cjHA5j1KhRCcVAAukbqSiS3+/nPoVGNqggCPB6vaiqqkIwGMQxxxzTRFXi9Xqxbds2\n5OXl8drIBFmWsW3btrjiMWMMF154Ycz40UFVV1fXZCyov926dUs45r179044hpqm4dRTT036vj/9\n9FPS36P7bmT8zKiV2CFJzhAEQcBf//pXw9cDSGqZN4qcnJyEvx1VhLCkpMTSYKmqig8//NBUTDBQ\n79R6zz33GK5iR+mAKOwrmbc7YwwHDhzAyy+/bDh7sNPpxNKlSxOWP9R1nccJC0Ly+slnn302du3a\n1SQjMm0kt9uNhQsXcuNHvP5FG1B27tzJs3OTfk3TNPj9fjDGMG/ePB7Klp2dDYfDgdatW6OgoAAF\nBQVo3bo1WrdujaysLJ5OiwwUbdq0wQ8//BAj6lCfKKPODz/8gGAwyK28lPkmEolwQjlr1ix+v9vt\nRkFBASorK5uMFXF4NpuNc3nRoZTPP/98jNGGpIVdu3YlJEK6rmPSpElcKmk8jrt27UoazkZZz1NB\nlmXs2LEj5XVmiqPFOyySQRAEXHbZZYavB+oP8IqKClP3NEbXrl0T/nZUEEJavEaLOROIeHm9XtNF\n1QHwuFSjIGPAyJEjDYm5nTp1Snkdia+apmH//v1xCRL9TrWXky1yURRx3XXX4aOPPuJFd4BDBHD7\n9u3cP7Pxs4goMlZfdN7v9/P0ZdHzQu4gl19+OfLz8+F0OnHjjTfypKnhcJj/vzGo3AERWSrvesYZ\nZ/AQuscff5xbCrkOKIr4fv/9903EZEEQ8Le//Q39+vXj70rGt5UrV8YdV1EUMW3atJjvGGMYO3Zs\n3MNIEAT06dOHE8/GY/fkk0/C6XQmPPSWL18e93saUyOioyRJ+OMf/5j0Gl3X0bp166TXNL7ejCSm\n63pS7iweRFHEli1bTN3TGMkqBh4VhBAAXnvtNdMcHWP1jtd79uwx7ddkNjElUD+Z27dvN5R1JT8/\nP2WxHqCeK83KykJNTU0TS2b0czt37sw3SiKxx263Y9y4cXj22Wfj6uS2bdvGiwjFewcqprRp0yae\nTp4+RCB37twJu90Ol8sVs7Eb6/6SufI0VnRH+w/quo6pU6fC4/EgJycHwWCQZ4+hfpxwwgkIBoMx\n+SmJ+K1fvx6tWrXi1wqCgAEDBmDKlClN+kHEK1onKIr1xZvipZfXdR1btmyJ+25E1GVZTjg/Y8aM\nifs9Pfeqq65KGZPLGMO3336b9BoAmDp1asprovHOO+8YvtZq1qFt27aZvicaycJXjwpCqOs6rr32\nWkv3ud1u02FCdGIa5QZJtJJlOWUdW0VRsG3bNkPRHUC9qDN+/HgeahYN2mzTpk1DWVlZUj8qTdNw\n44034rnnnmtCUDVNwwsvvJBQj0XjcN555yEUCqG4uDjmUNI0DZs2bUJ2djZ69uzJOaXGG57+pkOJ\nxEsiUvR7Y6IZ7SxOhFHXdYTDYWRnZ6N37978b1JPUPbvKVOmxLgPCYLADVThcJi3N3v2bBQVFTWZ\nc13XkZeXB1VVYzhMxlgTUYxiskeOHJnwwE7EfRKSHWR/+9vfUorHrMGVJ5nkxFh9yjSjumlRFA2J\n29EwSwhVVUV1dbWpexqjffv2CX9LmxAKgiAKgrBaEIT3Gv7OEwThE0EQfhIE4WNBEHKirv2zIAhb\nBUHYJAjCBek+m7Bq1SrLTrpmJxCo5wbNOGtTXVwjVjJBENCzZ8+UFl2CJEmYPXt2wt93796NRx99\nNGVWkYEDB+Khhx6KS9yXLl2Km2++OaGYzlh9saaPPvoops+MMZ6Bum/fvinHTJZltG/fHtdffz32\n7duHYDCIcDiMSCSCcDgMVVW54YT+DQaDePLJJ1FcXByXg2aMYd++fbDb7SgpKYkJnSQC9/HHHzd5\n72AwiB49esSI2D///HPCg2DDhg0xPoT0Xbx1+cEHHySc22OPPTYhkbDZbHjmmWcSSi8dO3Y0JNk4\nnU7uZxkPoiiiffv2htegruuGa2QTzJbLIO+FdJBMJ58JjnAygGgZ8V4AKxhjPQF8CuDPACAIQm8A\nfwDQC8BQAE8L6djCcchb/qKLLjJdjAmoFwXNpLGiRdGhQwdThJcWVDL9D224yy+/nE9YsmcQB5LI\nSkl6sW7duiUN0RIEAZ07d8aKFStgs9liiJ2u6/jwww8xbty4Jno+4kooeqJNmzZcLKRceStWrOAu\nH4n0iYqiYN68efD5fAiFQtixYweefPJJ5Obm8v4RISIjD4lW1MakSZOwefNmnsJs1qxZ0HWdR72Q\nru/zzz/nRdqjN+IZZ5yBTZs2NRnH8vJynHfeebwNXdexa9euGOMJcaunnnpqzGFD3FQ84i9JEn78\n8SZaa5IAACAASURBVMe48+H1epNadu+8886kBMwIgVFVlRup4kEQBF5M3kh7NpvNVJoscqCnqpBG\nIMuy6TrkjZEsdDYtQigIQkcAwwBEp9G4BMDLDf9/GcDIhv+XAHiDMaYyxnYC2AqgfzrPZ4zFlGI0\ni0svvdR0wsdgMAi/32/KvYBqniQDY/WJVo3m/hMEAbNmzYobQ0nfdenSJeWJbrfbeaREY+zYsSOh\nJV6SJJx88skJrZynn346RowYkZC76d+/P3w+H1RVxZVXXplwDisrK/Hpp58a9tMUBAFTpkxBdXU1\npk+fHhP6RgSxc+fOMTowQRBQXFyMnTt3Nmnvm2++wccff8wPs3bt2uHcc89tcp2u6/j++++bfB+P\nUxIEAUOGDIk7rhQTnIiDT5QcgmBU102uQclAaoRUMMsRkgojNzfXlG6eEgVbRaI4eiB9jnAOgHsA\nRPeuLWOsHAAYY/sAtGn4vhDAnqjr9jZ8lxYKCgq4+4JREBfzyiuvmBpYRVF4lhWj9zHGDKVUDwaD\n8Hg8AFL7yRFXdMcddySM3V2/fj3KysoSLnaq8Ur1oqOJDIX+9ezZswmXQRtx2rRp+Oqrr3gSBdJd\n0fuuXbuWc6X0PIfDgTFjxiAQCPCiP6RLpDH95ptveEquHTt24NVXX8W4ceOQm5sLj8fDrd5OpxNZ\nWVkoKirCZ599FuOqQn2YMmUKamtr0apVqxjDit1uxxNPPMGdrGnDt2nTBosXL45ZS7quY8SIEfzA\nFQQBy5Yta6JXttlsOPPMM+Nmjm5MxAVBSKgDlmU5KdeXyCBGfR02bFjc3xrj//7v/1Kus3A4bIgQ\nJutTsnvM5D4EwEt3WEUyZsQyIRQE4WIA5YyxtQCSjVazha5YDeCPZv3NFFmXJMlwvj2Cy+XCL7/8\nktICSin3jYBy6iVqjyJX4oEWbSQSwb59+5pEd5AISqn5aXyJWLjdbixZsgTTp0+P4Vx1XUcwGITT\n6eSiORktdF1Hv379UFVVhZdffpl/TyKmpmkYPnw43G43Bg0axPvUq1cvTJ06FbW1tTH+eqTfCofD\nKC8vx4UXXsjVHL169eKV7hwOBxRFwZ49e3glN6pgRwSYDh+gXmQcOnQoLr300hgdmiiK8Hq9/B01\nTcOrr74ac0AQt1lWVhbzvcPhwKJFi5pw+YyxhHOoJ0k5ZbPZcPXVV8f9DQBmzZqV8LdovPjiiymv\nMZqbkKQZs6ADyiiCwWBaHGEyA2Q6xWfPBFAiCMIwAC4AXkEQFgDYJwhCW8ZYuSAI7QDsb7h+L4Do\nwgEdG76Li/vvv5//f3BDcs5oMMbwxBNPJAxmTwZJkvD999+bOl1UVUXfvn1NK2zr6uqS1gWhBWQ0\noQJQH/GRlZWV8LQ+99xzEy5MOoHnzJmD/Pz8mLFTFAWyLKNHjx78O1p4VK9k4cKFGDp0KA8tpPso\nYgU4JJoTcSfdDPkAAodSZnk8Hl7EnhzToy2j5JBtb6iVYrfbeVIFep9ojvbnn39Gr169oOs6nnrq\nKYwePZr79Pn9fjz55JOYPn06QqEQH4vowk+CIGD+/PlYvHhxTNoxURTx/PPP4/rrr4cgCLjwwgsB\nHCKAxIl27dq1SamFYcOGxdXjFhcXx3WSpgMi3iEfiUTw9ttv47XXXmvymyiKhjKcRz8nGXJzcw15\nL1glhG3atDFNCM1i1apVPIpr9erViS9s7JNl5QNgEID3Gv4/G8CfGv7/JwD/bPh/bwBrANgBdAXw\nMxqy38Rpj6VCOBw2HbgdHQQfCoVSPiMaiqKYegb1bd++fUnb1TSN7d2713Bwu8vlStp3TdOSlmR0\nOp0sPz8/7r26rrMPP/wwbsC7w+Fg7777bpN7VFVlO3fujCktSWU+XS4XT2qgKApTVZWFQiEWCARY\n3759eT+jE2TIssxEUWR9+vRh77//Pquurk6Y7EHTNObz+diCBQt4iUybzcY8Hk9M33/44YeYxA4V\nFRVNSmFmZ2fHlKbUdT1u4o7ovlRUVMRdg1SGNTo5RIcOHeKukegkEtHPPv/88xPOYaL9QQkcjCYx\nSJV8YebMmYbXexcLCUuuuuoqU6U9r7zySp58wwoeeeSRhEkXmsOP8J8AzhcE4ScAQxr+BmNsI4BF\nqLcwfwjgZsas87np5CdLVVwnHkaPHm361LPZbCk99AWhvtqdETDGcPvttyflgFPVg9A0rUlcbXT7\nI0aMaPJ9OBzGtddeG1f/FO1mQtB1HWeccUaMU7EkSdB1Hf/4xz+Qn5+PXbt28TmgBKft2rWD3++H\npmlYu3Ythg8fDq/Xm3CuSFQfPXo0amtrEQqFmhT9ikQiOPHEE5Gdnc3byc7ObsLpBAKBmGgHRVEw\nY8aMJuNzySWX8L/z8vKacPqSJOHiiy9u0tfPPvusyXUkfsfTKS5YsCDuO+u6ntDvlVQORhAvuqUx\n4nGymYTRcqTR16eT2Xz37t2Jf4xHHX/tDwxwhP3797eU+srhcLBvvvnGcMHocDjMGGO8kLeZ5zzy\nyCNJ245EImzXrl2G23U6nUkLam/fvp1lZWUl5AglSWIfffRR3HdXFIXl5OTEvU8UxSbpvBRFYZqm\nsezsbJ5Si7ijOXPmxIxfMBhkjDHm9Xqb9EeSJHbmmWfycSbojVJsqarK9u/fz5YtW8YWLVrE1qxZ\nE9MPVVVjuCufz8dEUWySZozapZRd9DtxsbNmzYrhOqLTcTkcDiZJEn+urutsw4YNMRwofRhjnHvU\nGorRRxe7p8+KFSuazIWu6ywcDiddC4kkDaMcoSRJCVO0EYLBoGGpq0OHDknbiofbbruNrx0jn8mT\nJ6dV6L2kpOSwcoSHBfGy/hqBKIopM3lEQ5IkfPPNN5AkyZQTtSiKccOyokEGAaO6ytdeey3hCRoK\nhbhuLxFXIIoiLrggvh/72rVrE7pAUGW7aETXgKDfbDYbHn74YUyePJk7F9tsNrz++uv82mjYbDYE\ng0F8/vnnMX1WVRXLly9HXl4eXC4XT7RQVFSESy+9FNdccw1OOeUUuFwuuN1uZGVlweVy4fbbb+dR\nE2RUWbduHTdC6bqO3NxcHDx4kP9OlkiyeM+YMSOmn9u3b495Z0GoT+8P1HNuFHLYGNHccHRIor2R\nW8w///nPJnPKWPJsykA9h5loLRgBY01LCzQG1Yn+rSDasGUFVFUwHo44QhiJRLB3717YbDZLCloy\ndhhl+SVJwsCBA7nV2CjOOussQ+J3MgshgTVYgkeNGpVQLKZSjfGK/dCCpnRZ0e9O+enOPPPMuBvS\n5/PF5OljjMW4pEQ73U6bNg0333wz3/CRSATXX389brjhhpiM0ZRwwefzccu0vSHBg9frRdu2bTF8\n+HAEg0HuXG6327lYRAYWupcyysydOxft27eH1+vF+++/D0VR0KtXL9TU1PAwulAohMLCQt4Xu93O\niSFZu/Pz8zlhLCws5OF9ZGm+7777Ytbe6NGjm8zH7bffzseM+j1y5Mgmjseff/553HFPhWSxvUbc\nu4xkTIpX5yURDgfBNOuxQSCur7S0NOE1RxwhlGXZdNaXaOzfv9+U3oO4C6MgwvDuu+8mbRMAjjnm\nGMOxnLNnz457LWuw2HXt2jXhmAQCAZxzzjlxDw5RFDFhwgQAiCF2FHtMxDxajLj66qu5lz9xO2PG\njMF9993HEwqoqophw4Zh0aJF/H2J+Hz33Xd4+eWXuZ43HA5z7o6iHiit1cKFC1FbWwufz4eqqiqE\nQiHs378ffr8fPp8PgUAA4XAYVVVVuOCCC3ifxo4dC4/Hg+3bt/M8gddccw2A+k0b7aokiiIWLVrE\nXX3y8vLwwQcfIBQKQRRFLFu2LOZQI4dg+sybN6+J5TQe9/788883mSMaq3jzmgxLly5NeE2XLl1S\n6tKMMhFGkwFbcWMzUo85GulyhElDXOPJy7/2B0l0hKqqNrH4mfmQ3skorr322oQp1BPpXlwuFwuH\nw0lT2zPGmMvlMqyDqauri9uWoijM7/eznJychG1JkpTU2hZPpyjLMvP5fE3S4m/evDlG10c6tGho\nmsZGjRrFAPC2SV8XiURidHmnnHIKs9vrLceyLLOcnBzWvXt3Fg6HWW1tLdN1nYVCIa4DDAaDrK6u\njvn9fhaJRFggEOBzGgqFWCgUYm+99Ra3PouiyAYNGsQqKyuZqqps+vTpvO8AuM5V0zSewt/j8bDy\n8vIYfWzj8Tn//PNjygpIksQEQYjRq8ab98bt2Gy2hOsk2XpwOBwJ9cUXXHBByvUky3JKfZuu64bW\npyRJlqzGo0ePNryXAbD58+ebfkb0u1A77GjQETbO8mEUdPLQKW/kOYwxvPHGG6bYfkEQ8Nhjj8Fu\ntyeNAHj//fdTFtshMXbYsGFJY6LJdy1eW5qmYeLEiU3egTWItaeddlrcU/nAgQPweDwxXCKlto8W\n76gCHF3DGMOzzz6L9957j+u5FEVBQUEBgsFgTCyyx+Ph5SwDgQA6dOiAyspK/PTTTxBFEVlZWfj7\n3/+OnJwczjHm5uaioKAAeXl5yMrKQm5uLrxeL0455RSUlZVBlmWMHDkSwWAQgwcPhiRJWLt2Ldef\nzpgxA6NHj4YoinA4HJgwYQIPE/T5fLwvnTp1wsGDB/k7FRcXx4zP559/HpNmbMKECTGSg81mS5hd\np/H8JNPpsgRcX7JgglatWsX9vnHbqfZRvPDNRG1ZsS7X1dUZluwcDkfS7DHJkCi3ZTSOuJolvXv3\nxvbt200rim02G8aNG4enn37a0KQpioJwOIy8vDzDC4KQiCgRtIYSmkZEbpvNhv379ydM2KBpGnJz\nc+NWT6OQwNra2iY6TlL8u1yuJjql7OxslJeXxzyPHIAb61lqamo40WeMoaysDMXFxTwkTZIkFBYW\nYsOGDZBlGbquo6qqCscccww3wui6js2bN6O4uJhHbxQWFnIHWtosdrsdxcXFaN26NQYMGABRFLFu\n3Tp8/fXXqKys5AaQuXPnYvz48RBFEStXrsSwYcMgyzLcbjf2798PSZL4u2gN5Ulpjnv37o0dO3ZA\n13XU1tZyEToYDDaJtIiu5aJpWoxxgTXoIxvPGRWcJzDGsGnTpiaEljGGgoKChNXhktUeueqqq/DW\nW281+T4aoijC7/enZAqMRDsxxtCxY8cYw5IRnHrqqfjxxx8N7+XNmzcnzTKdrH+CIMDhcCQs8J5O\nZMlhBSmsf/75Z0v6CEVR8Pjjj5sykpSUlJh+FiVUTXYfxeca6YM9QYYcmtwPPvgg4WkniiL+8Ic/\nJEzWeuWVV/K2APCMLZRUNRrV1dX45ZdfeFs2mw1FRUU8GQH1p0uXLjy2lgj9p59+ypXzpaWl6NKl\nC39/WZZRV1fHOaOTTz4Z27Zt41yjy+XChg0bUFBQ8P/Je+84Kaqsffyp7qqOE5gAM+QMkheJEkyI\nGNaAAguuK+iLCijisqbdhVUUFfOKrCKKgGIAcV0D7GtGUJAl5zgEhzTA5NChwv39MXOu1d1V1VU9\n7Fd4f8/n0x+G7ltVt27dOvfcE56TUOiKrkkCobKyEvn5+fjzn/+MiRMnorCwEJdffjlKS0t5/ZWu\nXbti165d2LdvHyRJ4nyUlIe6bds25OXlIRqNolOnTjE0bbSAkSZ1/PhxHgNKDh/6TVEUbN68Gb16\n9Yrpr9FL/9Zbb+HJJ5+M+U4QBE6/b6Q1UWaOkXeZnDpW2hars2kmYziyg/hF1k57ALx0rp0dnqZp\njrKv9LDjPDqvtsakIaRKxeP0Yf3www+Or/Hll18mFZ5/+tOfbJ1LVVUcOXLE9HdZlvH73//ekljB\nLKeUMWboeczLy0sIrZBlGfn5+QnEAXU1YvnWqHXr1jEvpiAIKC0tRdOmTSHLMkKhENq1a8cFZKNG\njTjZpizL8Hg82LlzJ8LhMFq0aIGamhqUl5ejadOm+PDDD7nn2OPxwOv1wufzQRRF5OTkYN26dcjM\nzERVVRVOnjwJURTRunVrPPjgg/D7/Th+/Dg0TcPhw4c5SwyVBNDzS7rdblRVVSEajeL48ePchOD3\n+9G8efOYuXfJJZfEkD3oBY8kSVi7dm3M2FKgefwzWr16teEzsqok5/F4kobYJIMdEle7W2Mq3+AE\nP//8s+2QNJfLWR1kPRhjSWnCzhtBKAgCHn/88ZSYLoBfbH5OrufkOrTN7Nq1q+lxrM5D+NJLL9la\nbcmOZnY90obMzmW1gr700ksJ4+Fy1daFiN+yHzt2LIFe/vXXX+cFjIBam+Lx48djJvaGDRv4tlkQ\nBGRnZ3OtyO/3c26/oqIi5OTkcO2yvLwc27ZtQyQSQZcuXSBJEm6//XZuTmjZsiVGjx6Nyy67DA0a\nNEB1dTWGDBmCpk2bYvTo0XC5XDzs5+WXX8YVV1yBrKwszJ49G9FoFP379wdQKwhofPv3789f/E8/\n/ZQLgMLCQt7/p556KmYMDh06FONV1+f5apqG8vLymPaCIGDo0KExYxuNRk0zfayyhKzIgfW52maw\n8y7Ynf/6vHM7oHGmRfS/DUEQknIEnDeCEABmz56d8rEffvihLY2QJshtt93mKGyGbEJWIMEVCASS\nTgBVVXH11Vebar+MMUP+O+CXLa6R/YUE0V/+8peY3zRNQ5MmTRLumTGGjh07xrQTRZFzCFK4it52\nQ6lvrer4ECORCP/d5/PB7XajtLSU2wypXVpaGsLhMA9iz8vLw6FDh9C0aVOUlZVxRuoDBw7gj3/8\nI5544gkUFBRAlmVUV1fjrbfewueff85rhpSXl6Njx45Yt24dZs+ejbvuuotXtRs/fjw0TcOxY8cg\niiK2b9/O4wgvv/xyPk5E4ADU8lfqBVP84kCB1oTS0tKY/5MNUg+Xy2VZnc1MYFk5KOw4L2xtFy2c\nNfHtnBRjitee7cBOSqAZNE3DP//5T8s2540gNLOv2IVdnjbS2iiuzC5UVcXmzZstHSuqqmLt2rUx\nLCxm8Hg8WLp0qakw1jQNl1xyieFvJGSpal08yMQQ7wz5z3/+E9OOsVqa+3jtgsaStOZZs2bFCGxR\nFHH69GluaD98+DBOnz4NTdNQVVXFvbNaXe0Xxhh3ZKiqijFjxmDo0KE8PnDfvn28Ql16ejp8Ph/6\n9u2Liy++mGuSHo8HPXr0QDgcxrPPPov27dujoqICmzZtgizL+Mtf/gJBEHjGx8KFC7mDg3YLpKHo\n7Zt6rcsoiF/vVdfbA0nA6ecCMdXEwyyjp6amJmlUgRGsMigIRoS6RrDzDmiaFrNY2oETRmvAWXlR\nI1iVswDOA0FIEzRVJ4mqqlwLsQMyUhMVkl243W5ccMEFSdvZFciapllujZK9IGYlGzVNMyR5kCQJ\nOTk5CS9u27ZtueZG7T788EMu8BljePzxx2NeGK/Xy435mqahd+/efCwp0FjTNLRs2RKRSATZ2dlc\nCN5www1Yvnw5brnlFoTDYYiiiDZt2iAYDGLUqFEoKSlBZWUlIpEIampqOInsK6+8go4dOyI7Oxt/\n+tOfsHLlSrRo0QIVFRW87kmjRo0gCALy8vLg9Xq5d/jf//43XC4XmjRpAqD2WerHQv+vftz1c4ox\nlpD5EL81Ngp5IZoxPWjOh0Ih0+2vkaODjjt69GjS3YxVeFd8/5KBAurtgt5JJ6iPRsgYQ2FhoWWb\nc14QEkaNGpXSQOiJOO08VFVVsX///lS6mBR2PWQAkoYJHDhwwFS4WxV0crlchky9gwcPThgfo5cp\nvqCPEUvKnj17eNsnn3ySv7R+vx+jRo2CIAjYuHEjSktL4fF4cPz4cQhCbemBb775Bg888AAWLlyI\niooKBINB5Ofno6ysDPPnz8eQIUOQlZWFYDCIvLw8+Hw+ZGRkYObMmSguLsa9994Lv9+Pjh07Yv78\n+WjZsiWA2gWI6rscOHAAiqKgR48eAGrLBpAWS6CKfYIgcAr/+MUxXqOOD6+J1wiBRAdFfJ0YPazC\nsKzYl44dO5ZUkxNF0Zajws47F4lEMGjQoKTtCLRIOgFlGqUCCtGyhFGU9a/9gS6zhCL3U80k8Xg8\n7JZbbmF2oWmaIZuI1ScQCLBx48YljdRXVdV2JH1VVZVp5oCmaWz48OGGx/l8PuZyuQyPVRSFHTx4\n0DBbwIjjcMKECTHZAy6Xi3300UdM0zRWVVXFVFWNYeUhDkJ9P+lakiSxaDTKPy6XiwUCAVZUVMRU\nVeXcfgMHDmThcJgz6cyZM4dFo1HWv39/5vP52IYNG1gkEmHFxcVs6dKl7Msvv2Q1NTVs69atnD2m\noKCAeb1eVlVVxXJzc1n//v35c23bti2TZZkzydAz8/l8zOfz8b4vXryY93vZsmWc60+fZQQgJvNG\nVdWYMR00aFDMnFBVlS1dujQhw0MURcPnbDU/fD6fYUaK3Xclvm9m88zOuSRJcswKU1pa6vg9dpIR\npoeiKPy54XzOLHG6eujhdrtt0ZLr4ZSFWlVVvPjii0nbzZgxw/a9JOMV/Pzzzw2/j0ajeOSRR0xj\nB3/3u98ZanpGgbNvvfVWTHiI3+/HjTfeCFVVEQwGUVpayre5QO32hbRBIJZRODMzk2uG77zzDq/9\nkpubC03TkJeXB03TsGrVKrjdbnTt2hVjxozB3XffjUAggEOHDqG8vBzXX389D5cZMWIEhgwZgqVL\nl6JXr1745ptvsHjxYqxduxbPP/88xo0bh6KiIl4/xePx4MSJEzxGlLRbql/MdNrPhRdeyIkitm/f\nzh1D+u1vMmeCUdxjvIPLiJGGMZZUW0slP1mPadOmJW3vNJHALhRFwYIFCxwd07dv35T7QsHUljCS\njr/2BzqNUFVVVlJSkrI2aId3LR5GzMTJVkQrkDaRn59vyR7t8dTmqObk5HAOPiNYrdSSJFkeF8//\nJkkSy87OZqqq8nGSZTmBkVuSJM7FR+fq0qVLgnZTXV3N2/j9fub1epkgCKyyspJzB7pcLpaRkcHK\ny8tZJBJhf//731kgEGDbt29nqqpyDbOqqooFg0GWm5vLKioqmM/nY8XFxaxHjx5MEAQ2Z84ctmnT\nJnbllVeyq666ij377LNs5syZLBAIMMYYc7vdLBKJML/fz44fP87eeOMNrvVt2rSJ/x4Khfg9HDx4\nkGmaxq/n8XjYQw89xHcmTZs25W31LM+krejH45prronRlDRNYxdffHGCZkf9JRB/odU8ufjiixO0\nMKM+mH0OHz5syW3JGGPHjx+3dS4zjdYKTrlEP/nkk5S4CFVVZWvXruXvHUw0wvMis6Rbt24pH8t+\nEa5JIcsyvv7665SZbcxAtsGysjJbWsTMmTMTiirpodUVPjI6j1W8pFFVMpfLhQcffBDAL8Z/l8uF\nL774IqadIAgxziBVVXHgwAEAvzD0ELsLXZ/G0e128+wY8pxWV1fzKmZ/+tOf4PV6ccEFF+Crr74C\nUMsS9PTTT0OWZR4TWFJSgtzcXJSXl8Pv96OsrAzbt29H69atMXjwYNx111249NJLUVxcjN69e+PB\nBx/E6tWr0bRpU/Tv3x8FBQWYOHEiNE1Dp06deAaGJEnIzc3FmTNnuAeX8mApJ5nGOz09ndsS4+dJ\nvO01PiOIMZbAo6mPxdS3S6b9/OEPf0j4zk5IDKvT4Js3b27ZDoCtXQ7wS9aX3XAzq/lrhgEDBqSk\nEQqCgLfffjt5KJCRdPy1P4jTCFNhotavVnY1Qk3TWM+ePZNqbfGfnj17Wq5WTuycduwt999/vykr\niCAIpsfv2rUr4d6obkZ8f42Yg+MZcPT2skAgwFmbZVlmp06dYqIoMq/Xy37/+9/zYzp16sRcLheb\nNWsWY4yxiooKJooiu+6661hVVRXzer281okkSWzLli0sMzOTbd26leXk5LBwOMxmzJjBRFFkBQUF\nbNiwYWzXrl3sgw8+YG+//TabOnUqa9myJQsEAuzIkSMsJyeHzZ07l2uzdL/RaJT5fD7e57S0NObx\neNimTZuYpmls+fLlnFFmzpw5fEz14+f3+2M0wgMHDsSM17333hvzLGRZTnhudD6n82XLli2GzzkZ\ns7UoinyXlMzmlpuba+vdGzFihGP7nRNmao/Hk1R7NYOmaSwjI4OfB+ezRsgcrBzx+P3vf297JWGM\nYceOHY5Xni+//NJyFbcT2U6w4xlbtGiR6bU++OAD0+PM4g7jz8WYce6oXnN55JFHONkpn0x1GgEx\n8JB38J133uHa1d69e+H1evHHP/4RjNVmYwiCgI8//pjnKG/atAnLli2Dy+VC165doSgKLrjgAsye\nPRv5+fkIBoNo2LAh7r77bvTu3RvPPfccMjIyoGka3nzzTbhcLlxyySVo1qwZqqqqeKwhadnk/aXK\ndYwxXoqUKqstWLAAgiDA5/Nh2LBhhkHAejsdYwzr1q3j/1dVNaGiXHwANoGq/+lhFltI2hR5vONh\nVBVPDypxakd7q6qqsnz3aJ489NBDjt+Z+OiDZKhPBoqdd++cF4SRSCRl4kcAuOuuu2wf63K5+Avj\nBFlZWUmvEZ93agY7k6O6utpU8N5www2mk7KystIwlCB+e2Z0fLzB+a233uKB4fHxddOmTcM//vEP\nfhzlETPG+BZFv1WhEKeHHnoI0WgUHTp0wBVXXIE2bdpgw4YN+N3vfoeePXti9erVOHLkCNasWYNZ\ns2ahcePGeO655+D1enHJJZdg3rx5OHr0KFasWIFwOMzJYzds2MBj+CiQ9+DBg7xvNL9UVeWxhKtX\nr+b31KZNG34venqtpk2b8rFyu90xpRlUVUXXrl0TxjF+niiKkpB/DACfffZZwnd0vNX8/Mtf/mL6\nG1ArFOh+koGEv9ncpud+4YUXOhKEP//8s2PlJhqNxjClO8F5T7rAGMPChQtTEoIkKPr27evomFQI\nHez0b/z48bbO9cADD9i6nhXRghmMPI0eAzqwb7/91rCyGo2PpmkoKSnhv2mahiFDhvD/r1ixgtvL\nyAbHGMPhw4e5IKH+y7LMPafvvvsuZ005fvw4Pv/8c7z44ouYPXs2CgoKsHLlSgiCgIKCAmzbLgdu\nUAAAIABJREFUtg0VFRXIyMiAz+dDWVkZpk+fjj179qBhw4ZYt24dvvvuO3z++ed45ZVXsGrVKvz4\n44+cBuuxxx7jQcXRaJRrr6QtlpeXc68p9fXUqVMx47J48eKY2sf6nGG3240rrrgi5sWtrq5OGFeP\nx2OYOnr77bcbPUKePmkEel+Swa7tjxYsM9D4OK0P/vTTT9sWaJqmcUbxVL3Gdt7pc1ojZIwl5G86\nAWWJmKU2xePDDz9M6Tp0fqsHdfDgQVtsIRMmTOAP3wzhcBg+n8+UnslMW2SMxQgh4Bfnir79q6++\nmpC5QAZx+k7TNPh8Ph5ion+5SkpKeOoaBTSrqoq5c+dC0zTk5ORAVVUuIEkrq6mp4YKH2GOOHz8O\nn88HWZa58L300ktx2WWXoUmTJujVqxdycnIwbNgwtGzZEldccQVGjRqFiRMnYvjw4YhGo4hGo+jZ\nsyd69eqFtm3b8q04BenqNRR6+Uko6jXGqVOnxoz5RRddxH+LNycQkawew4YNM9QIzcpzGoFCi4xA\nWrtV6I3L5cJvf/tbW9eKRqOWgs7KoWd1fQrLspvZcvHFF9tyIBnhsssus3Wdc1ojpEmaKmglsLti\nTZ482dH5BUFIoKcyg12ttlmzZpZqPAnUeCHocrkSSD8JjDEUFxcb8iD26dMnpm+MMaxcuTIhBap7\n9+4QRZHH0+nzbhmLZXAuKiriRLFXXXUVgNqx+t///V8oioKsrCxIkoQTJ07wCa7V1Xqh/tP9ZWdn\nY/PmzZAkCddddx0KCwsxZ84cFBUVYdOmTdi2bRsYY5g0aRIyMzOxbt065Ofn4w9/+AMGDhyIb7/9\nFu3atYMsy9i9eze2bdvGX8J58+aBMYaePXtClmWMGDECQG1FP8pE+uCDD7g2vGTJEn4saWU0nseO\nHYvRuPWkraRJr1mzJuFl9vl8hhqemXBUVRXffPON4W+0qFjB7XYbkvjqoSgKvv/+e/68zWCV724G\n0ridMNvccccdKWuDP/74o61257QgJObgVJDKcRUVFY62xowxvlpZwc7qp7dTmU0+TdOwfv1603P0\n79/f8DqyLGPlypWGoUQ333wzv2cSPtXV1QkvS9u2bbmgimdV0eciA+DtVFVFo0aNuIH/0KFD8Hg8\nCIfDfCupT52ibTG1P336NMaMGYMpU6bghhtuwIYNG9C9e3e0a9cO//rXv1BZWYmZM2eiqKgIU6ZM\nQYsWLTB//nwcPXoU1113HWen3rlzJ2688UZOuUWhM7feeiu3+wmCgPfeew8AeLlXTdNw88038/ui\n5xKJRNChQwcejsQYw29/+9sY7Sg7O5v/TS8/MXbrEV9NjjGGzz77DJWVlQnPkcbIiPtP0zScPHky\naegX2WutIIoi/vrXv1q2AWrH46OPPkraTo9k2+14SJLEFyinYHWhQnZkwTm9Na4P44SqqimRRTp5\nSC5XbQW4ZMdQLJrVau12uznJgBkEQTClE1JVlbOfxD94t9uNtWvXGvazffv2vL3L5eLJ7fEvbF5e\nHne0GOUq68+t1xbJkUTHiaLIc3CpbKYkSZAkCQ0aNEBpaSlUVcWQIUPQsWNHlJSU4JZbbuGeTlVV\nMXr0aOzYsQNXXXUVBg4ciBdeeAEnTpxAw4YNMXbsWLRo0QKnTp1CdnY2jh8/jiNHjmD9+vU4c+YM\nampqcOjQIV4WYOjQoQiHw/B6vXyhIJMKCWnGGN+W031++eWX8Pv9fGHZv39/zIKnz1fXNA27du3i\n2rQeCxcujHlemqbhf/7nf0y1JiqxEA9BEDBz5kxTzzRhwYIFSbeZxJKUbNtrK2MjDj/99JOjbW5N\nTU1KzlIaAzJzJNu1ndOCsKSkxHHgJcHtdvMA32Sg1Zo0GbsPKRqN2t4akL3FDFodH6AVSFswgqqq\n6Nmzp+m5zdi2GzVqFPN/ownDGEPDhg35/43YUiKRCH8pKCxFEARO40VB1ZFIhHtuKVSFtMDbb78d\nzz33HCRJwptvvonmzZvzuh/z5s3DPffcg0GDBmHOnDkYMWIEdu3ahRtvvBEHDx7EoUOHUFZWhiVL\nlmDQoEHIy8vDgQMHEIlE0LlzZ8yfPx+KoiAzMxOSJGHr1q0AgB9++AGiKOLIkSNwuVwYNmwY19wK\nCgr4+OkDkAVB4Px7ROKgt5cxxmLsg4IgJJggXC4XwuEwbrjhhpixjEQiqKioMHzxBUHApEmTTG3I\nb775ZsJ3esiybBiIHQ+rwlAEv9+PcDic1J4dj6uvvtrRbi0+IsEu6F2xfaxRcOGv/UFdQPV1112X\ncjB1IBBgZWVlzA4oCNjtdjsK9JQkyXawtqAr9Wj08Xq97Prrr7c8h6Iopv1zuVzs4MGDpseajeP2\n7dsT0sCM2s2dO5en/e3evTshSFcPPWnF9ddfzwOER44cyb/Xj7nP5+OkBV6vl23dupWpqsoEQWDf\nffcdO3PmDPP5fCwcDrPWrVuzm266iVVVVbG2bduyzMxMJkkSy8rKYpmZmczn87GuXbuyaDTKHnnk\nEZaZmcnuvPNOFolEWDAYZC6XixUUFLBIJMLcbjfzer2scePGvDSn2+1mkiQxr9fLQqEQHxN98Pi0\nadNi7lf/W4MGDViTJk1iysYqimI4d1wGJT+rq6sty7KqdWVL46FpmuW7QvdqB+Xl5TzA3Gq+/vGP\nf3Sc9kZpl3bfsS5duqQUTE0kG/Hnw/lIuvDjjz+mHEwty3ICP5wZNE3DkSNHDG04VrDbntiYraCq\nKm666aaUr+d2u001SvbLApOA+H4ZrdakzZIHMX47FJ++lJGRwbeAmzZt4uckx4m+z+SUKC4uRigU\niqHHeu6553DllVciLS0NV1xxBTIzM7Fz50706NEDGRkZePnll3Hq1CmEQiEcPHgQJ0+eRGVlJbp3\n7w6fz4e5c+di/fr1eP3119GwYUOEw2EsWLAArVq1wpAhQ7gp4NixY2CMITMzk/eJiGXD4TBuvvlm\nvt13uVycf5GIY/UmnMrKSmzdupWPF2MMTz75pGHo0mOPPZbwXc+ePU3DYwKBABRFMdyOJiNaFUUR\n7dq1M/1djyFDhiRo/UbXmzVrliPtjswuTo6ZO3duSvZ+WZZt10MBznFniVl0vR04GTxFURJyQO3A\nrtA8dOhQ0v6IohhjmDeC1WQ3YjEhEJ2+EeJj24zOL0kSd5AwxhJ49+Kh96QXFxfz2MOrr76at6HS\nj82aNYOqqrjwwgvh9/uxYsUKuN1unDp1ClOnTkVaWhqys7OxZMkStGzZErm5ubjlllugqiqPC5Qk\nCU2bNkV2djbS09Px8ccfY/HixTh9+jTPaQ6FQvjkk0/whz/8Ac888ww2bdrEbX+yLGPv3r2oqakB\nYwzXXnstAoEAGGPwer2cuFUQBJ6pRHbExo0bx2y/BEHgC7CqqpBlGU899ZThQjht2rSE744dO2b6\nrEaOHGkqJJNFGwiCgO3bt5v+rsfevXuT1iDxer2O6pRomoannnoKgLPia/369bPdNh5OttTntI1Q\nkqSkrn4zOBGEoihi3759jq9BL06ya9mhTidqKytQvQ2jiWQllK00ybKyspj+G51bEARUVFTwv43q\nU+i9kXfeeSePuaNSmxRqRKEy3bp1Q3V1NXbs2IHMzEycOXMGgiDgyiuvRCAQQJMmTVBdXY2jR4+i\nQYMGaN26NQoLCzF+/Hj069cPNTU1qKmpwVNPPRXjGaQwHErlIwFE4SzTp0/Hyy+/jGg0ihMnTiAt\nLQ2qqqJPnz7cu7ts2TKuzZFDx+VyIT09ndvhBEHgDNT6OfrKK6/EhNZQkfh4xDvyGKutCW0U10mw\nqslNJBFmz9lusTDGkld8o/460e4YY5g5c6ZtgmQas1Qr1912222OyFPOWY1Q07Sk6rmdc9iBIAgJ\n9TrswG4waUlJSdItvh3WXivNjjI0jGDFSKOnMLfqI7Ee04f6TDh16hT/e8KECTGeaBIUJGhEUeTf\nUeF6TdMwa9YshMNhnDhxAqIoYuTIkfB6vfj+++9RWVmJhg0b4s0330RRURF+85vfIBAIQBRFeL1e\neDwe+Hw++Hw+pKeno2/fvmjatClOnTrFPY9t2rTB008/DVVVUVRUxD3amZmZkGWZL7zV1dVQVRU/\n/fQTd9aIooj3338/xq5Egl3/bOjeaSyNzBWCIGDz5s0xz1vTNHTv3t1w7LW6cqKUphiPaDTKA8CN\noKoqbrnlFlsCaObMmUnbALUVCp2YrZKyvxi0p8XCyXGszvm2fPly28cA57gg1P+byvFOVOMtW7ak\ndA07MAo3iQdjzNbqZzaZrXJQrbJe9u7dy3+zyiKg8Bvy4sWXEdVv8xRFiSl03qVLF/7bRRddxGP3\n/vOf//BFKBqN4m9/+xu8Xi8CgQCGDRuG5cuXY+HChejfvz927dqFmpoa+P1+TJ06FWvWrEFNTQ0U\nRcHRo0cxa9YsLF68GDt27EAoFEJVVRUKCgoQCATw+eefw+PxoLCwEF6vl2+XASAYDPLwmZKSErjd\nbq4lXnbZZTGUUZdffjlkWYaqqujbty9kWebjJUkSJk2aFDNmp06dMnym0WgUTZs2jfmNKvEZaVlW\n8aOMMdx6662Wnl5RFLFo0SJbW9IZM2YkbQMALVu2dGRPt9JmjaBpGk83TcVGSIurbRh5UH7tD4AE\nz6TTjxOySLsUWfGfDh062KIfevHFF5Oey4x6Pb6fyTyKRohGo6bXbdasGYtGo0nHgqj2CS1atIjx\nljZs2DDmekQvRVRcRDZK9P70m5663+v1ss6dO7NIJMKi0ShLT09nHo+HTZ48mRPHSpLEAoEAE0WR\ntWnThhN2kteXsVq6q8OHD7MBAwbwSIBAIMAOHDjA71FRFOb1enlfysvLGWMswXuclpYW49WWZZnt\n2rWLl1zw+/3cI6uPIKC+6sfQ7/czURTZxo0bY56Pqqps/Pjxlh5fM8+pHZo6QRBszVO770FGRkbS\nc+nHgbHaUghOIjICgUBK1PxGUQ3ntddYT/meCoyCV8826mPIPduQJMm0Pq6VRlhUVBSzsputoqIo\nxmgw06ZNi/k/2RCB2li4J554AsAvDCZ79+7lGou+LxQzR+SrBQUFWLduHSRJ4nnG//jHPxAIBKCq\nKioqKlBWVsYLxI8YMQIulwvBYBDBYBA+nw9erxdt2rTBTz/9hCZNmqC8vByVlZVo06YNqqqqsHz5\ncl40ieL5yMHBGOMU+1TgiGIOyQvZtWtXbkejmMnvv/8+Zhxff/11Q82OMYb27dvHbPdcLhcvL2qE\nefPmmT6/ZFRZAHh6ZTLcddddtrSohQsX8i1oMlCAdzQadaRBpuobYIylROT8f1YQZmRkONoap7IF\n79Gjh61rBIPBpA/WLGNAD8bM05M0TcPu3buT9iUe8cZrqt9hRA6gv4fx48fHpOYJgsCPDQQCePDB\nB/nWURAE9OrViwuP1atX83vOy8vjGQo7duwAUEtOUFBQwFmoO3fuDE3TkJGRwUNrysvLEY1GUVRU\nhO+//x7PPvssbrvtNixZsgTbtm1DJBKBoih8e6xpGo4ePYpGjRph+PDhEEURjRo14iwzJKQoRIXC\nZWbNmoV27drxoHBywOi5F91uN/r16wdBELg99qGHHkoYQ7fbjd27dyM9PT0mD5k4FOMFBdGT3Xbb\nbQnnIk1m6NChpoKQnqOdDCvGGGdytkI0GuVUb3bmvqZpWLlypWNyhmAwmFLonJU93Ar1EoSCIGQK\ngvChIAi7BUHYKQhCP0EQsgRB+FIQhL2CIHwhCEKmrv2fBUHYX9f+Sqtzb9u2rT5dQ5MmTWwXSqJw\nCKfo27evLQEaDAYdTwQjWGXZaJpmOzwi/jiCoijw+Xzo2bNnUs8009mySLMimn3yFOuN+5qm8ZS1\nXr16ceO+KIqYOnUqGGNo1qwZ7r//fkiShG7dumHv3r3QNA1btmzB4sWLoaoqDh8+jIyMDIiiiIUL\nFyIzMxODBw/G5MmT8dprr+G3v/0tunTpwp06oVAI//M//wOfz4f27dvzmrpHjhxBQUEB12orKyt5\nf71eL1RVxapVqzBhwgR+v/n5+QlChbRZPajYefwYSpIUQ05B42JG9hGNRjFt2rSEXG7gl7mwY8cO\nS3aYxYsXJ517jDHbxMGplNUcOnSoo/ZALcFwKju6gwcPpuZXMNov2/0AWAjg9rq/RQCZAJ4B8FDd\ndw8DmFX3d2cAm+vatQJwAIBgcl7WvXv3etkIr776att2hfhCRXY/69evt2XHWL58eVL6f0mSkp6r\npqbG9Dwul4vdfffdhsdFo1E2cOBA2/an+fPnG16npKSEt9E0jXXt2jWhjR4bNmzgBZBcLhfLzs5m\nkUgkhiqfbGdkm9M0jQ0bNoyJosjS0tLYwoULmaqqTFEUVlVVxa699lrm9/tZIBDg9kKy0QWDQdag\nQQPmdru5bZLOn56ezvx+PysoKGChUIjfcyQSYQ899BCnc09LS2OSJLHq6moWDodZNBpNoHunT25u\nLtu7dy+3HSqKwhYvXpxQslWSJObz+XgRL/0YTpo0ydTGFwgETDM3FEVhS5YssZxTubm5tjI/NE1j\nOTk5tub8vn37HNvunJS+cLlcvKyCk6wVmjutWrWyLL4GExthfYRgBoACg+/3AMir+zsfwJ66vx8B\n8LCu3b8B9DM5d73qlHi9XnbHHXfYfmCqrnKak8+2bdtspf/s2LHDVopdsnNRPV4zQTp48GDT+/v7\n3/9uKggjkUhMe6N0La/XG+MQ0TSNnT59mjsVqJ1+zKPRaIxA8vl87NixY1wgXHPNNTHjrhcUf/vb\n31hmZiavm0wCSVEUVlNTw95//32eUkfCjl4ir9fLhY/H42GjR49miqLEOGwURWFHjhxhoigySZL4\nv926deNjFgqFmKZpLC8vL8bQ7/f7mc/nY6NGjYq533A4zGuCxI/d5MmTE8Y4Go2yYDBo6FRxu93s\n008/NZ3DZilkHo+HO4Cee+65hGdrdB5Zlm3V2/b7/QnC3AqKorDrr7/ekSCk561PUbQDGk9ySP2/\nFIQ9AKwDsADAJgDzAAQAlMa1K6n79xUAt+i+fxPATSbndlzcJX4w//a3v9l+YFbeWKvPnj17bD2s\ncDicdKKRZzVZP80mlc/nY1lZWTHeUz1WrVplOlbPP/98TFvyqMa3EwQhpi+apiUsIGPHjo051333\n3RfzLPv37x9T8lPvefZ4PPzFjUajrKamhmt8LpeL5efnc4FG19e/MKdPn2ayLLPKykquddK/+j7v\n3buXF2bSX3vhwoX8haK2Lpcr4dn5/X7Wt29fVlNTw8c6FApZvvB6jzvBbHEMBALM5XJxLdMIJ06c\nMM0HFgSB50onewc0TWNTpkxJulD7fD52ySWXWJ4rHqqqsvT0dEfvliiKbOHChY6uQ9cqLy9Pen4z\nQVgfG6EI4EIA/2CMXQiguk7rizdipVx5SVEUKIrieM+vz2Kw256lYGC1S0FkJx2JseRlAqzGQdM0\nVFdXG94zYwydO3c2rFfi8/nw3nvvJRiZ4/M0JUlCeno6dyqQXXXYsGExfSD6erLPvvzyyzHjtGHD\nBuzevZvb8Cgekexc6enpPOja5/OhoqICLVq0gNfrRXFxMQKBAPx+P+68886Y6zDGkJubC0EQePF4\nt9uNSCQCt9uNbdu2oVOnTtz+SI4PGvNQKISxY8eCsdoiVIqiwO/3x2TykG0sPz8fa9euhd/v5/dg\nVAeE1TkrIpFIzPNXVZWnGMYjGo1ClmXujY63/2mahmg0ipYtW5o64ERRxPDhwxMKzBtBURTMmTMn\n6fx0u91YuXKlZRs9GKvlm4xEIo6p7eyyRsVDz5BEoDlCH9PrpnTFWhwFUMgYoyTdj1ArGIsEQcgD\nAEEQ8gFQysExAPpiqs3qvjMEeeZSMc46hVki+9lEsgRwyl6wgqZpptXLCMwgrIGxX/KD418sQRB4\n5T59NgiRlBJUVUVNTQ3ef//9mO//9a9/xWRXAMCnn37Kr8MYiylcJUkSBg0axIUuYwzV1dUx45OW\nlsYFpCAI2L9/P8rLy+Hz+fjCuGDBAvj9fqSnp8Pr9SItLQ1+vx/BYBCBQAAejwcejwfZ2dnw+/3o\n06cPCgoKYhYbVVWxa9euGEcBhcvk5OQkzDtN03DhhRdi3759Mf1v06YNzpw5Y+hI0Wfc6J9Hx44d\nDeecy+XC5Zdfbjnnqa6yGQRBwDvvvGPZhmA30iAVZURfB9suaJF1CrPMLHqv9J5+w+MdX7EOjLEi\nAIWCIHSo+2oIgJ0APgUwru67sQA+qfv7UwCjBUHwCILQGkA7AM7z2mwgmfSPh9vtdsRUQaB6FsnA\nWHIKdVmWY9LdjOB2u5MSMxil2rnqij0ZvVwU0qL/TdM03HTTTQkkny6XCxMnTozJlGGMoXnz5jxb\nxO12Y9y4cfw4VVV5ZgllnGh19U6ojdfr5Xm7FOrSoEED7Ny5kwt2SZJQUVGBiooKzg2op52naod8\nq1MXjkLHk2CmF4K4Ctu0acNZZdS6ynN9+vRBJBKJ0QSpyt6PP/7INbWamhqMHDkSR48ehSAIMSQh\ngUAAc+fONcwpJo3UaO54vV6sWLHCVLMXBMG0OLuqqvB6vXjhhRds7S4YY+jdu3dSOn63240ff/zR\ntheXnqvTFFm3241HHnnE8e5MlmXDuE0nqK+qdR+AdwVB2IJam+FTqPUaDxUEYS9qheMsAGCM7QKw\nFMAuACsATGIWd5zKVjVVOE3HIyQjW9XDk4Qe3ePxYNWqVZZtXC4XevfubdnGSjBbLQ4HDhyIOZZy\nhOPPFw6HY7ZRiqJgz549Md9FIhFMnTo15lxUN1j/XcOGDXkOKhF9kmCWZRkXXXQRWrVqFbOSezwe\n7N+/H7Iso6ioCOPGjYPH4zHd2tE2+/LLL8fu3btRU1OD0tJSNGrUKIYF+rHHHkNmZiYXanrIsozD\nhw/j8ccfj/n+mmuu4cHZ8ejfvz/GjBkTM481TcMXX3yRUN9Ej/gyCHooioLXX3/dUrNRVRUTJ060\nFa718ccfJ41flSQJ4XAY3bt3d/ROdujQwbFyIYoiZsyYkdK7P3nyZFvF0UxhZDj8tT8AUnJe0EeS\nJPb3v//dtqHVyglh9dm5c6fta9jp86RJkyzPIcsyKy8vZ4IgmHq5582bZ3r81VdfbemEiseLL76Y\n4MwAwG699daEto0bN44xeIuimBAq8u2333LvrN4xQF5cRVFYOBxmY8eOZYFAgPn9foa6CIL27dtz\nB0a840HvONE7O+icRg4DajtixAhDTyN5oQVBSDhHcXEx69Onj+GcAcAGDRrEiouLE65rNc+8Xi8b\nO3Ys92oboaamxvK9kCSJff3116bPXw8jslizftk9p76fqUR9uFwux0SvjDlzduJ8S7Grj12Q/SJQ\nbSFVjdDu9psxlrStJElJORFFUURaWhovlWmEu+++2/T4Tz75xLIwVPy4GQX6UsEe/WrPGONUY0TR\n73a7kZ6ezsk4GWO45JJL0KFDB65l6qmuKCtDkiS89dZbnLHH4/FAVVUcOnQIwWAQGRkZPOVNf339\nhxwcZPfU3xtjDF988QUCgQC8Xi8+//xzXpWPzkXHb968mW8HiV2GMYYuXbpg48aN/Nx0L5qmYdCg\nQfj222+RlZUVkz0C1NLbG2mPFFg+f/58w+B+VmdaadWqlem8prG8+OKLDX/XQ9M0W/WP6TkOHjw4\naVs6r6ZpGDhwYErb1F27djmyRdLzpGJc9cE5KwidCLL6Hp+s4I0ZCgsLbT04O15pVVUNDevxoAdu\nZdcxE5JWxK7BYDCmvi9dq0OHDjHtKIf7q6++ShACkydPjmFrqa6uxr333svP5XK5sGnTJi5oWJ2n\nnDy7emeN1+tFVVUVtm/fzm1fsiyjpqYGgwYNQjAYRHp6Otq0aYN58+ahsrKSe1uJnfjMmTN4/fXX\n0bZtW0iSxAXRtddey+1tdA963sTp06ejpKQE3bp148KAsmeCwSB33OifB2O16W7fffddgjCj+zNb\nEDVNQ2VlJT/OSBBu3LgRpaWlpi88lUe143DTNA3333+/LY/yAw88YHvLyepss1TrxSk6dOjgSKDR\nXN27d2/9TWlGauKv/QGQ0lZV/5k2bZqjgOpU4hZffPFFW+dnjLFevXpZnksURcMaFkaw6isAFgqF\nDO+dAsfNjm/Tpk1M3JqmaTw2y2irEx/jRnF3Pp+Pb90lSWKnT59mkUgkpr3RVsbv97PXX389Jk5Q\nURT2zjvvsGuvvTYm8Lk+cyN+C5+ens68Xi9btmxZwpgpisJkWWY//vij4TnoXo1MEpFIhGmaxjp3\n7mx4bYqx08dVxj8vCnhONj+pTkoyyLLMevfubWt8rBiNjKAoCrvvvvscPwe/38+6d+9u+zqEaDTK\nPv74Y0fXwvm2Na4vTpw4YXt1obxYp1i3bp3tlejPf/6z5e9erxd+v9/WuRo3bmz6myRJmDx5suFq\nLwgCnnjiCVMt9uTJkwm08+np6fD5fAkaKDE5x5+/vLw8JhxFEAQ0adIkIUnfSDuVZRn33Xcf3w6T\ndjlmzBj861//QlVVFbp06eKIxcQKLpcLF110EUpLSxEKhXDNNdcYtrngggswaNAgw3MoioKTJ09i\n/PjxCfcjSRI6deqE/fv3J2iC5Inetm2b6f2QdkimAysYOXmMEI1GsXPnzqTtAOCJJ55wpKEpioK3\n3nrLdnuC3+9PiQ9UEASMGjXK8XFGOGcFoV0BYwY79Pj6azVr1szxNYgtxc759YHHRqDtnFZHNW+F\nFStWmP4mCAIWLlxoKOwEQcDUqVNNhb6mafjggw8SjikuLk44H5VL1dNvAbUxgDNnzox58QVB4OEy\nrG47TGw1ZGskOnzGamsqB4PBhPogHo8HW7ZsQXV1NUKhED799FM0bdo05ljaguvtc3pzQvfu3bF2\n7VpUVVUhHA5z+ixBEOD3+6GqKveWv/zyy3C73SgsLIyx7dH2k7b1GRkZCVtaWZYxcOBaaq9FAAAg\nAElEQVRATnwbv2UVRRGffPIJOnXqZBrDKggCbr/9dsugZJfLhS+++MI2/X1mZqYtJiTGGB555BFb\nnl/GakOU+vfvb4vmPx6lpaUpve/V1dX18xTrYaQm/tofnIWtMeWM2kEoFGITJ050fA07RAmM/ZLP\naeecFRUVttKikm2VrM5hdT8eT6L3WJZl1rp1a8NjLrvsMsP+tW3bNmH7I0lSzPZYURQWCoUMt46S\nJDFBEFggEGAvv/xyQn9o3PVbaMYY/57S0+h3+k3TNE78oP9N36fvv/+eeb1e5vP5DFMjRVFkjz76\naAIhrB7NmjVjHo/HMHXN7XazZ599NulzPnDggCWBgMfjYe3bt7c9BydMmGDLm+tyudjSpUu59z0Z\nyHzg8RibUJJ9tmzZkhIJa4MGDZKOj92tscDqa2T8L6AuV7JeWqHf78eZM2dsxVMxxvDhhx/aKn6t\nhyAICIVCtlbjcDhsWPQoHt999x2ns7fqr9/vNx0fxhgefvhhTo6qh6ZpuPfeezF//vyE30hT+/nn\nn9GoUaOY7BCgtiB7vAYoyzKPLaQ+R6NRqKqK9PR0ALGOHaK6J5BjZeXKlbj22mtNa2/4fD507doV\nP/zwA1RVtSSbtQtZlvn80DQNI0eOxL///e+ElDiCKIpgjKGyshKMsZi5RWPEGOOOFKPAdlVVMWPG\nDDzyyCOm/ad0x5ycnJiyB/F9CYfD3CufLCha0zSkpaXZfqeqq6ttU8dVVlaiVatWCXRkyUBZH6Wl\npY6eJ2O1tGHZ2dmOM17qTDIJFzpnt8b1hZMHCSCldCAKy7AD2v4ke9ijR4+2dc5kQbWzZs3ifdTD\n5XJhzpw5vJ0e1LeOHTsmHKeqKh5++GHD88VX3yMPLRGz6o+h337++eeY61522WWcrZrCmfTbQUVR\nsHHjRng8Hni9Xtx7770xecb6MTNKMaTf6TfGGKqqqjBixAhun12+fDkPwI5vq6oqtmzZgsrKSsP6\nIJRz7PF4+NacjtcXLnrxxRfx4IMPms4DmlPBYBChUCjhGVFfKOfYDjRNQzAYTBrCRX3asWOHbdsg\nLQipFFqTJIlnMDmBoiho06ZNrSZXz8WQ8H9WI3S5XKipqbFtOwF+KaBtdxJommY7qZwxhu7du8cU\nSzKCKIqoqKiwnByMMcyZMwdTpkwxjUsjkgJZlhOcMJFIhJMXmNmA4hcSInWgym/6e9DqynNu2rQp\n5hxUFCkrKyvhRREEATNnzsTdd9/NNUfqW0FBAXr16sWJB4zuX68FUapdnz59cOutt6J169YxfTtx\n4gSWLFmCVatWIRgMoqamhguzmpoaw2uQrTYYDOLgwYPIzs62LJW5ZcsWDBgwwNRJRXT+F154oeXz\nJ3JcchgZIRAIYPv27WjSpImtudekSROcOnUqqcBxu93weDw4duxY0tKywC/M5MFgkMeBOgUR4joB\npWimIgTNNMJzVhBa1eK1i9LSUgQCAdvtqW6wXXWbsdoasHYfyIsvvmi5JaJz2lnpGatlUrY617XX\nXosPP/zQcBzXrl2LYcOGGRq36dzl5eUAYoPba2pqkJOTEzNGJJg2btzIY+/0v1FNEKN4TSoeT4KJ\nVnnGGJ5++mk89thjCdrVfwOkZdH2tXnz5ti8eTNycnJMj6E6HJ07d8bhw4cN25BGfPjwYeTn51ue\ni+af2TaRvnvnnXcwcuTIpPdEKX033nhj0raEkpISW0KQzr9ixYqk+e/xoOc5ZswYLFiwwJH2CQB9\n+vTBrl27UmKwPu8Eod7mlAq0Opp2J9tjl8vlqKC02+1GVVWV7QepKEpSO42maSgsLLR8aez2l7Zr\nRmCMIS0tzTTA1+fzYffu3cjPz0/QDF977bWYXGIAXCMIhUIJlFNkS01LS4tZ/WncFEXB/Pnzcdtt\nt3FBSLZEURSxdu1aDB06lNfw+G9A02prB7/xxhtcyMiybMlKtHfvXvTq1Qtut9uQ6p7VeVPD4TAY\nsy7XSttXOsZo7muahnHjxmHu3Lm2lARFUdCgQQPbOb8PPfQQHn/8cUe2umSsLmZwu90oLy939L7R\ne0PXS+W6/7+zEdLq6gRWDggjMMbwz3/+03Z7vWZjBRIIVpBl2TKekK73zTffmP52zz33cEO6HkS4\n0L59e0MhP2nSJF71jUACjDj6SNMkTc/r9fKwFBKGdG2Xy4U777wTgiDg8OHDnPGECiUNHjwYoVAI\nFRUVeP755yEIAhewlJaXbFwp44TiGamge+fOnXmxp+LiYvzud7/j9sl4IUg7AKC2OFj37t25syge\nLpcL7dq14yYGsxc+HA7zOioUthIviEj49+nTB6+99lpSIVhZWcnPaUcI0jN44oknbAvBiooKdO7c\nOSX6OsYYBg0a5EgIAr9Qe6UqfC3P/X9VIwScO0z69++PzZs3226vaRquuuoqfPbZZ7baq6qadKtO\n6WTFxcXc8G4ExhhCoRDnGTTrn9/vT/D0Ar9QleXm5pq+LIIg4K9//SumT58ec07qZ25ubowQIG0G\nqN1C67U/ipF0u93Iysoy3P7T9tTtduPkyZMxgcR6LYm2zqqq4uWXX8ayZcuwefNmy8WjWbNm6NSp\nEyZPnowrr7wyxoGi35JbzbnKykp06dIFJ0+e5ILdDN988w0GDBgARVEsbWCyLCMYDHKzgdk9tGvX\nDps2bYIkSUl3IDSHACQEshvBqYkHAMrKyjjXYypaejgcdvx+2zEHJcN5tzU+GzZCp4NdVFSEVq1a\n2bYRkuZAtWWTTThN0zBhwgQsWrQo6bmT9Z2eG2kSVmN16NAhNG7c2PB8I0eOxKeffmp4HIVxlJeX\nIy0tLSF/VhAE5OTkIBQKxVyftLSysrIY6i0APNxjwoQJePfdd03zsGnbv2TJEgwbNoy3MxpjOp7a\nUDuj89qdDxRaI8syQqEQD7g3E35E6eXxeFBRUZFUqNLYZmdnm55Tq2NXzs7ORlFRka1FvaKiAv36\n9UNBQYGte5VlGVdccYXtoGwAPIg8FbKSaDSKGTNmYPr06Y7eTVVV0aZNG5w8edLR9Yyuf15tjeur\nDWqa5jiuKTs72xGHGjk27K6mgiDg0UcftbVKf/zxx0nPpaoqBgwYkHSL0bZtW1PDMmWSGAkOSZIg\nSRJatGiRcH8ejweiKOLw4cPwer0x9+PxeCAItZT5JPgIbrebM8zs2bPHcjsoyzKGDx8Oj8eDAQMG\n4MyZM3w7HR8OQ9ALSxJGdhZ7EkyMMb6FHjVqFDIyMpCfn49QKJSwBdZnvTDG8MEHH3CbMT2f+L7R\ntT7++GM+PvH3Ttov1V4uKipKqhSQNv7YY4/hwIEDjnZCX375pW2TkKIouOGGGzjLkFN4vV5MmzYt\npWNPnDhRr0gSK5yzgrBFixb1Ot7lcuGvf/2r42OcgF46u+o6Y4zb9ZJ5vEaNGpVUMxVFEd9++62t\nMgBmcV6apuGZZ54xjImk/9fU1ODf//53zG8kzDMzMxMYlUlYZWZmJmiE+tCbVq1aIRqNol+/fgnX\npnhCCpPZuHEj8vLyEAgEIEkSioqKOGOMfpyMniFd0+wZ6VP+Ro4ciaysLASDQXz00UdcwJjFDmqa\nhqZNmyIUCuGGG26I+d0oP1tRFLRu3Rrjxo3ji0/8vZPX2OfzobCw0JbQEQQBzzzzDF566SXu+bYD\nYva2O/eLi4vx008/mQa+J8OqVatSOi4zMxNnw1xmhnN2azx27NiE+hhOwFhtMZ/jx4/bPoZsak5V\n/uLiYh5LZQdZWVmmhZYIoiiisrIyqY1JVVWunZlB02qLq9MW3qit2+1Oeg4rRu5//vOfuPXWWxNe\nELKL7tmzB40aNTIUSpqmobS0FE2bNuX/J+FjB16vF5dccgkuuugi9OzZE+3atUNWVhY8Hg+PoSwp\nKUFpaSlKS0tRUlLCi0itWrUKxcXFtq6jtyOqqor8/Hz8/PPPSZ97JBLhtXeCwaClkKLYSdoOJwMt\nAgsXLsTEiRNt3Qfdy4MPPognn3zSVnvS7PX2TCcg+jaa93afraZp2L9/P7p37+7oekZwuVzkwTeu\ng3CufQCwN998s165xqIoMr/fz5xAlmXb+Zj6zx133OGIWfeNN95Iyqjr9/vZa6+9ZivveO7cuZbn\n8nq9TBRFduLECdPykKdPn07Kfuzz+Uz7IMsyW7RokeFzCAQCzOv1stmzZxsyMGuaxsLhMKupqWHb\ntm2zZOA2uz+qZSxJEs8Tpu/peUqSxOseU0F4AI6etSRJrHnz5rzPsiwnfd6aprEHHniAXz/ZvXTt\n2tURhdzy5ctZnV3d0ZjZqclNiEajLDMzk/n9ftN6ylYfn8/Hy586ua6qqmeNds1zPuYar169GkOG\nDEn5HIzVshs7tRMWFhaiTZs2jjTCZNpSPGRZ5sZmKwiCYBiaoQer27r5/X7TgkD6flJ8XvyKzBhD\nixYtUF5ebskgctVVV+G9994zDLpljOGjjz7CmDFjTLeimZmZKCws5HZEI8iyjP3796Nbt26QJIkH\nG/8aoJjK6upqDB8+HIsXL7ZFl6Ynng0GgwnZOPHw1GWSDBgwAF999VXSuUQv8PLlyzFy5EjbGhqr\nM+eQLdOORxkA5s2bh4kTJzp+DjQne/TogTVr1tjWBMlcMXXqVLz66qtnZUusYxk/f5wl/fr1q9fx\nTuwkejRp0sSxt5rCPuzCyJCeKmgb2apVK1vtzTJNAODw4cNJ7Y3Lly/H+vXrDX9TFAU33XQT1qxZ\nY/rCVFZWIi0tDatXrzZ9eQVBQLt27XiBpk6dOln26b8Jj8eDr776CoqiYNmyZQk2TzOEw2F06dIF\nmZmZtuJHQ6EQ7rvvPnz22We2X/qlS5di9OjRjuar2+3G7t27kwpmAgXJ33///SlRXlGY1urVqx0J\nM7qnV1999awtgtOmTTP97ZzVCJkuZiiVPpKNiZwETh6CnQR1Pai0oxPccccdePfddy3bqKqKdu3a\nYc+ePUnPx+rsN8kErKIoCZXo9L+VlJQgPz8fXq/X9OWNRqM8vcwsnKWyshK5ubmmWiqFp5SVlfGc\nZ6MXjTSfUCiEAwcOoGfPnvB4PIhEImePiw6/ZEkoigJRFLFmzRr06NGDLzTJXkaao8RDeODAAVtZ\nRySQli1bhiuvvNKWtzccDuONN97Aww8/7KjEpizLePTRR/HXv/7VlnAJh8Nwu91o0KBByhk9jDGs\nX78+aT3ueMiyjLy8vJgSqfUBOQzr5Mn5oxECqdcSoWM1TcPKlSsdn2PAgAGO2iuKglmzZjm6zuuv\nv550MoqiiBMnTvDQDiuwOu9qshdPEAS0aNHCNKOkYcOG6NKli+nEJ6FAJKZG/RIEAWlpaaiurjaN\nkaOA3+zsbPTo0YMLNbPz+Xw+dOvWjReaJy2F4ijpXuKdMGZgupAdt9uNCRMmoKioCJFIBDU1Neje\nvTv/3eo56ftL4Tbbt29PSsZBGo/L5cL+/ftxzTXX2N4O33fffZg6daqjUC/KdJk+fbrt0BqPx4O0\ntDTbLDd60K6nWbNm6Natm+3jKFJg9+7dZ0UI0hz48ccfLd+hc1ojJL6y+tgHhg4d6mi7AdSGi1hl\nbBjB5XKhsrLSUfxWgwYNLBlyKId16dKluPnmmy3vIRqNoqysDPn5+UlzWv1+P3bu3IlGjRoZpkgR\nY02yLZeeW9CobzS3WrRoYVmYisJFvF4vioqKoGmardQtfa1kEmyk0VVVVeH06dM4evQo12qaNWuW\nkBpIOw5KuXMyTxirLcbUvHlzwzhDK6iqiszMTJw5c8bRNQcMGID169c7smFHo1EEAgHHgqVx48Yo\nLy9PyYxDXuKysrKEOFMrUAwlzeGzVZaBEhTOS42Q7Cv1wddff+1IU6PQGUVRHNn9SHA7wdSpUy3v\nj8pMjhkzJulk9Hg8aNSoETwej+X9ulwuRCIRdO7c2bQNkX4yZk0UQOleRFkfD5p4hYWFWLhwITwe\njyGhAMXXVVdXIy0tDbm5uTxljj7RaDRB0Pj9fn4N2mKSMKMKdxdffDEGDhwYY6/Tf6ifVs4bcnqQ\n4CenEJUsLS0ttSUEKbTI7XZj6NChOHbsmO3sD03TkJGR4UgIklNMFEVHQlBRFCxYsAAlJSUpCUF6\nnqtXr4bf73f0XgiCgIsvvphXDjwbOHHiRPI4zHNZI7z88svxww8/1EsY0gS2ew4aj2AwyOO/7EDT\nNJSUlMRw69k5Ji0tLelk83q92LlzJ5o3b570nBUVFZbceQRZltGlSxds37494TdFUeB2u3Hq1Ck0\nb97c1pYtWXYNbV8zMzN5ILRV38gzm5eXhzVr1iA/Pz+llK6zAZoTO3bswG9+8xsekQD8klpnB6Io\nIhqNorq6mi8wduZlNBrlTEFOdkhk/jDL3jHDgQMHcMEFF6QsiKLRKHr37m3qVDMDY7XpnDk5OWeN\nVCEtLS0mTvS81Ajff//9ek98Ox67+PaCUEs2YNdDCNQKKye2ELpWMqonoHYL2K5dO0taLQJVnUvW\nd0mSsG/fPuzevTtBENPL1rBhQyxatChp5gylg1mBUutOnz6NOXPm8LAfs76Rt/HYsWNo2bIl0tLS\n0LhxYyxatIgLVdIWSWNyuqjr29O56G+yy06dOhWBQADp6eno3bs3Z5Kh9nbmJ239J0+ezJ08yXKR\nqR/79u1DWloaHxc7woyuR4S1gH1n4ZkzZ9CpU6d6eWo9Hg/WrVvn+DhZltGoUaOzIgQpa+fMmTO2\n5sU5rRHW1NQgOzs7ZYcJUDuZTp8+bateiB6kvdg1FFNMlpMtSDgcxs6dOzFw4EDLe6QXbvv27WjV\nqpXlJFVVFeFwGLm5ubYWALfbjdLSUkNhTC/7pEmT8OabbyatiyFJEoqLiy3j7PS5whdccAEKCwtt\nvaQkrGmcyZlz5ZVXYuzYsejXrx9atmzpyETBWG0R+kOHDmH//v1YunQpz/GmBZRsXU4yXeKRk5PD\nqyra6R9pcWPGjMGnn37K0zjt2iBpfCm21a4QLCkpQePGjbm5I9WdWElJCQKBgOPj+/Tpg61bt56V\nmEHGGF555RWMHz8+JlTITCM8pwVhOBxGVlaWI40uHi6XC5dffjmWL1/u+Fgru1E8qF1FRQVPp7ID\nWZaRmZlpyxZDNio7mkRubq6tYHJyTFgxpkSjUdxxxx349NNPLYOtyf63YcOGBKZqI9B2OhgMwu/3\np1QKUo947Z9sh6Ioci9uNBqFz+dLSYN0AnJ0hUIhUNkJJ+aZVDn3yKwRDocdLQgUfuV2ux15o/VQ\nVRVvv/02xowZ42hBqq6u5vGiyZiU7IJ2FPFjfl5ujcm4Xh+oqorvv/+eb3fsQlEUzJgxw3Z7sl9N\nnTrV0XVEUcT48eNttfV6vTwcyOol1jTNEV1RJBLBNddcYyoc3G433n77bVx00UWWz4O2ZD179sQ9\n99wTs9U0ux9JkhCJRHDo0CG+nXFq0yLQdfSxp/qsH7Ln6Wn5z1YSP730tFAdOnSI8wJaPa94Jp1J\nkybB5/M5JjzVC/2KigrbQp60TyJxTSVUhu6hT58+GDNmDAB7BCZ6gdulS5ez8jzo2ZeVlTl6D89p\njZAxhtatW+PEiRP1PR/C4bAjYzu9jHbrN8Rfyy5IQJMdyArEjxeJRCxXXHrhZ8+ejYcfftjWSxGN\nRvHOO+/g1ltvNT0nYwz33HMP3n77bUuBqHcElJWV2aKQAmrDlsgeR+lQZ0tQ/bfBGEN6ejqKioq4\nRgfYd4ZEo1Hk5eVxrdqpt5bsqjU1NY7s6owxriGnao+nXUVxcbEt4lgClSpt1apVymE68RBFEddf\nfz3ee+89RKPRhAXlvNQIAWDKlCn1dphQpoPTFB/a4jpZLCgLwglEUUReXl7S65Cqf8899yQN1hUE\nAZMmTeIrfLJzezwe3HHHHTh+/DgikUjCpKTxeO211/Dcc89Zrt6yLHPtwufzYe/evZbbLdqSE4NP\nVVUVKisr8fTTT/O+00pvJ7j8/wXIdihJEh599FFEo1EUFxdzZ4qVbY5Cs0gba9y4Ma9hTN/ZBWnQ\nDRo0cLQdptrTtGil+o5RX4uKihzFCwK1Y7ho0aKUw3T0IBtuJBLhhL9OtOpzXiOkwuj11QxmzJiB\nhx9+2PF57KTC6SEIApo3b479+/fbaq/fPmZkZNiyzyiKwlPcrEA1QjIyMmzdNzkhQqGQaUI+bYO2\nbt2K/v372zqvJElo2bIldu7cmbQtgYQfsTSPHTsWH3/8Mddcfs15qygKRo8ejcWLF/N+OplXpF13\n7twZx44dQzgcTtlTSlkxs2bNcmSbjkQiSE9P5zbFVAQhRT2QXdzpdp5KTZyNZ0la+KlTp7jJxazP\n552zhOBE3TaD03hCPdLS0mwbkPUBxmb5s0ag2DS79+nz+VBWVmbrfsaNG4f33nvP0b1XVlZCkqSY\ngufxIK8+McRYgVIeFy1ahFGjRiESiUCSpJQILnbu3Imrr74ap0+f5nnHiqJwe1x9QNyN5MihMJRg\nMIhly5bxYF/AfkiKnmBWVVUMGjQooQa0U1Df/vOf/6Br1662+1JVVQW/3w+fz8efb6oQRREHDx5E\nXl6e42OrqqqQlZVV7z4QVFXFHXfcgXnz5lm2O28FIdEg1VcjlGXZUfF2/XF27HcEr9eLSCSCLVu2\noGPHjo48d5WVlWjYsKGt9qqqYv369ejZs2fStoqiIDMz05HxmMaLBIPR9SmQum3btigtLbU8nz5L\nRJIkHDx4EI0aNUrJQ0jXpu15KBTCCy+8gOXLl2Pjxo31WjTdbjcaN26Ma665Bvfddx+P39TbZPWh\nGHZAMZMXXHABfv75Zy4Q6wMK1SIt3q5Gefz4cbRo0YJrb6mSKaiqimXLluH666+vF7M72b3rC/14\nWOG8FoQtW7a0zFW1A/KmOX3xFEXBTz/9hMGDBzvSOIgcwIlGqGkaZ/qww1UIAOXl5UnDfMiO1KhR\nI0dxjoFAACUlJQnXjEc4HMbs2bMxffp020Z3WjDIsWSledoFjSHZvsjxQPbK+G21KIqc3Zvsj6QB\n1nfh1c9fKhLv1HYcDzIVtGnTBnv27LHtWacFaOvWrRgwYEC9nFBerxeKouDee+/FM888k5Jnf9q0\naXj22WfPWpaQx+NBaWmprfnzX3GWCILwZ0EQdgqCsE0QhHcFQfAIgpAlCMKXgiDsFQThC0EQMuPa\n7xcEYbcgCFfauYbL5UopSj0esixj1KhRjldil8uFAQMGWNJSGYGyLYxYXoxAq+Thw4dtTxCXy2V7\nWySKIhYsWOAoLKWyshJZWVlJV2yfz4cHH3wQp06dSlofhEC0ZWlpaWjQoAGOHDkC4BdhluoCTdXv\nSKBRZbm0tDSkp6cjLS0NGRkZyMjIiCGWoK1rKvZHfZ/p77feeguSJMHr9TomZIgHRQFomoZ9+/Zh\n165dtpxG+rk3ZcoUHv6U6oJDjsDbbrsNTz/9tGO7qCzL2LlzJ55//vmzwjFI4/3ZZ58l1K5xipQ1\nQkEQWgL4DsAFjLGoIAhLAKwA0BlAMWPsWUEQHgaQxRh7RBCEzgDeBdAHQDMAXwNozww6EG8jJMaU\n+oIcAanw2GVnZzvSKF0uFzp06MDrJDth33Dqffviiy9w6aWXJm2nqir69u2Lbdu2OV6NKyoqktpq\nKYh19OjR+Prrr21veSgGLhQK4ZtvvsFll13Gvz/XQfO0uroaJ06cQO/evXkd6bNZbKhFixbYt2+f\no0BlSsnMy8tDVVVVvQKV6T4vvfRSfPbZZ44dI5Tpcjb6QhAEAe3bt+f1nu0ec1a3xoIgZAFYC+Ai\nAJUA/glgNoA5AC5hjBUJgpAPYCVj7AJBEB5Bbb2AZ+qO/zeAxxhjCeqeXhDSADZo0ACyLNd7AEOh\nEF/9nYCx1IpLV1VVOUqUJxaWxo0bO9KMaHLZoV6n/tCW0A4CgQBOnjzJvclW46eqKiorK9G4cWOu\nuTgd75ycHGzYsIGPA22dKYzm1yBfIJCnFQA2bdqE4cOH2yq0ZBfkKScGlp9//hmNGjVy5JwhDckO\nqUeyc9E86dOnD1avXu3oeFI8SFM/GwLQ4/FwDTsZ72M8zvrWmDFWCuAFAD8DOAagnDH2NYA8xlhR\nXZuTABrVHdIUQKHuFMfqvkvacY/Hg/79+58VN/uWLVtSOo8dtmEjPPXUU46FZzAYRFpamqPrBQIB\n22l65LF18oJQqIMdYUv0VJWVlViyZElKW7EzZ86gXbt28Hq9SEtLw6ZNm/hW6NcSgoqi4MyZM5gy\nZQr3vPbt27feRcfjQQQV06dPR0VFheM8eUEQsG/fPgSDwXpnZpGpY8iQIVi5cqXj40n4ZWRknLXn\nRpXwysvLz8r5gPpphG0AfA5gEIByAB8C+AjAK4yxbF27YsZYjiAIrwBYyxh7r+77NwGsYIz90+Dc\n7NFHH+X/v/TSS9G8eXN07Nix3iuKpmmcgtwJGGPYuXMnLrzwQkeCjQrAO92OU9qTk0yY3r17Y82a\nNbaOqaqqQm5uruNFgWw9TkgIGGO8CA8dl+q8o/IFM2bMwMiRI+OT6Xk7Kotp1EfKZyXBSsdSRgeF\n+giCgEWLFuGFF17A3r17/6sCmDReSZLQr18/WwWcjM6haRrGjRuHZcuW1btPZOu9/fbb8eqrrzo6\nVr+ja9y4McrKyurdH/25V61ahf79+ydtu3LlyhgBPmPGjLO+NR4FYChj7M66//8BQH8AlwO4VLc1\n/o4x1slga/y/AB5NtjUmKIqSEqNFPChI2+mkpm0qeRqdXO/ZZ5/FlClTHPWdMYabbroJK1assNWe\nXqRXXnkFd955Z9L2mqZhw4YNGDx4sO0+Ab8InBMnTiArK8vWPZGXUlVVjBgxAitWrKhXOhf1Qw9R\nFDF48GAMHz4cXbp0QfPmzdGyZUvD/pG55fTp0ygsLMS6devw5Zdf4rvvvotxetD2Uu9Q+W9BVVV0\n7dqV71hS0Xz1tnRi3K4PFEXBzJkz8fDDD6cUIgPUVj1ctWpVvTVTPa699lrLIr6UQvkAACAASURB\nVGRW+G/YCHsAWIxa50cEwAIA6wG0AFDCGHvGxFnSD7Vb4q9g01kCgMef1VcjVBQFX3zxBYYMGZKS\nUH3llVfwwAMPOL6mEROGHThhwAFqWZsPHToEn8+XlA6LMYYXXngBTzzxhONke7fbjS+++AKDBg1y\n1D8q2jRkyBBs2LABlZWVZ7UIE0FP+U52Sr3WKIriWaskmGr/KMc8PT0dR48eBZBaqpuqqti7dy8u\nvPBCPr71BWO1XIitbFZHNMIjjzyCl156qd59iQfl2qfyPv03bIRbAbwNYCOArQAEAPMAPANgqCAI\newEMATCrrv0uAEsB7EKtd3mSkRA0g6qqmD59eqrdjcHIkSNTCuLUNA1333130vrB8RBFEcuWLUtJ\no1i9evX/1961h0dRnvvft7Ob3c2G3IghJgQMCUKDyF1QpFEEGpAqKoo91Z6jtrUWL9VKVWp9qHek\nB47VtrbIwYPH21FAgg1KVBBBuViMUcJNEBIgJIHcdzfZnZ3v/LH7DpNISGbm280G9vc8eZ7dyc7M\n+33zfe+897ddTmhXaGlpQb9+/dTfd0YnOT3mzZuHW265RQ376C4CgQCmTp2KOXPm6JpLKmr64Ycf\noqGhAU899ZQqAYmqSkwgKZTmnSRTxpjhQGKz9NCfzWbDnDlz0NjYiKNHjxqWuDjnyM3NxdixY7vV\nba8rkMlgz5496N+/v6GXhdfrxdq1a7F48WJTtJwO1EJCtHQe9QHVBIqJ0lsN5nSQJEk1uOoB0TRr\n1iyUlJR0e5GQ7YakQr3xVykpKWrzme6AMYa2tjZ4vd5u1bVTFAV5eXlq8VA9oLL7NTU1SE1N7fqE\nDiAG3NzcjOzs7C5L/vdmEJMpLS1Fbm6uqcDttrY2lJeXo6CgQK3iIgLkTDOafwwANTU1GDRokPAC\nGVRZx8z6CEtAdSRBtdYAmH7osiyjrKxM93nExFavXq3rYZAX8PHHH9e9MCRJ0h2awUN5yzk5Oer3\nM8FiseDAgQO4/vrrDZV/slqtyMzMxI4dO1SpsrvjpMDn5ORkNDc3w+fz4cknnwQAdTP2ZKiMURBz\n4qGsnrlz56KlpQVerxdDhgwx1J2R82BbAs45Bg0ahEsuueS0lYL0gp5VamqqGlFgZM5pX2VlZcHn\n8wlhgvQir66uFpLx0xl63QqbMGGC7mDOjlAUpVsep85gsVgwfvx43ectXLjQUOFLu92Op556Svd5\ndXV1uPjiiwF0jzEtX74cM2fO1H0fknQmTZqECy+80LTq8uCDD6K1tRVutxs33XSTcJU5EnA6nbjh\nhhvg9XrR1NSERYsWqYzMDO688044nU7U1NQIyc4Agi+z6dOn4/Dhw6ZeOsePH8eYMWOEmzlWrVqF\npKQkoQ6Xjug1qjGhqalJLWBpFOR4aWxsNCRxkDpHncW6e35cXBzGjh2LDRs26CpJTpIFNWTS6zAq\nKCjAunXrulUgVZZlPPXUU1i4cKHhOZZlGevXr8fll18upHIQEJyDbdu2Ydq0aSqTbW1tVVMf9XST\nEwWt84XoWL9+PS699FIhkgt5t4FgW9rrrrsOcXFxQooUEOx2O0pKSjBu3DhTnvyGhgZkZmaetl2r\nEZAz5I9//CPmzZsnJBBbE7rVe1Vjgp5KMGcC5xyPPfaYIbWCIvdHjhyp6wH5/X5s2bJFdzkwSkEz\n6hHctGkTHn300S5/R+N67LHH1CZGRuBwODB9+nS1WKgIWCwWTJgwAc3NzXC73WhubsbWrVtRUFAA\noGfS8S655BKUlJTA6/WisbERTU1NGDduXDtHhhlwztHS0oKEhATMnj270/7RZlBXV9eOZiPYs2cP\nsrOzhTFBIPg8f/SjH2HevHkRcWz1OomQc44ZM2bg448/Nn0fo8HVhEAggPj4eEPnut1u3UzN7/dj\nxYoV+OUvf2nIXvLJJ590yySglbhSUlLapZTphc1mQ2JiIo4ePYqGhgakpKQYus6ZQNKgz+eDLMv4\n4osv8PTTT+Ojjz6CJEmIj4+H2+1Wx2G1WttV+KHAa6ppKMuy6rRxOBwYNmwYXnrpJeTl5akNjkQ1\nGeoIUp+tViucTidsNptQCZDmqbCwEO+++64p9ToQCODEiRNqv21RkqAkScjPz8fnn38uLLRKURSM\nGjUKZWVlYuMIw4kzMUIyQmdkZKgVTIzC7/ejubnZsCdaURTMmTMHq1ev1pW3yxjDpk2bMG7cOPV7\nd+m1Wq1IS0vT3XoACC7cN998E7Nnzz7j77TjoJxko946quZis9kwY8YMvPXWW7qv0V1oy2zRGLSZ\nJySx0DFtNol2fNrx0/9IbRTdZL6j9FhbW4vc3FwAp+LlRDBcCg5njGHv3r1q61OjkROMMaxduxY3\n3nijaioSMS+KoiAzMxPfffedSrdZyLKMTz/9FNOmTSNPdu9nhAR6U5h5C1FDaaO5olRinbqOdVeE\np8bbxNT1LnS/39+uhJQecM5RUlKiqpTdPScvLw8VFRWmelvQWG+66Sa88soraiGLcxmKoqh57MnJ\nyQCgdpQTibi4OJx33nk4cOAAAOP7hvbl3/72NyH9hLQIBAJqD2hRzhbOg8WDk5OTVZvrWWEjJNx4\n442mH4LNZkN9fb0akqAXDocDVqsVixcv1uUNJoZwww03GArutdlsOHLkiOo80QPGGKZNm4YVK1ao\n4+5q7Iwx7N+/H6tWrTLsQJEkCXFxcZAkCStXrkRKSgoKCgrU+FBtQ6OzHeSUkmUZCxYsQGpqKvr2\n7atWmxHFBLWS7u7du3HgwAHdcawEr9erPqOf/vSnuP/++4UxQZImnU4nqqqqhEcJ9OnTp+s13lsl\nQgquFrFxfv3rX5tKBTKa/mexWFBdXY3ExETd91QUBQsWLMDChQt1nwsEmdsdd9yBF198Uf3eFYhp\nUuygGdBzo/JM3333nVoEojfGDepBXV0dhg0bprawJJulaNhsNsyaNQsrVqxoZyIwAnp5DxgwALW1\ntUJfWJIkITU1Ffv27YPT6RTq+MrKykJtba16zbNOIqQ6aSI2zV/+8hfT3s0PPvhA95tcURSkpaUZ\n2gSKomD+/PnIzc01dD7nHC+//DImTpwIr9eLtra2brUHIFXjD3/4Q7u+E3qhtbv5/X70798f8fHx\nePjhh1X6ejtoPsnbe//998Nms+H8889v18JSFBOUJEllJBaLBQ0NDVi+fHm3q4Z3NgayVdrtdlRX\nVwtjguTwi4+Px4EDB4QUVSEoioLly5d32UuH0GslQs45vvnmG4wePVoIM1y2bFmnzc27AsX5OZ1O\n3bRQK4CPPvpI930pFcpM2mEgEEBOTg5KS0u7tRApXZCYYmJiorBG7MQYKGZy06ZNGDNmjOnr9hQC\ngQBeeOEFPPTQQwCC3mmfzxc2iZc8wv/6179w0UUXqZ5ws55hio4Q7SVnjCEvLw87d+4UJtQQKisr\nMWjQINXZR2urM4mw1zJC4FSApAgXuyzLaqtDowgEAkhISNBt52GM4ejRo0hKStItXRFToio1RhmS\noijweDzw+/26QoICgQD27duH8ePHo6WlRXdvlzPRQ9dSFAWrV6/GVVddBVmW1WcULTnJ2qIOkiRh\n1qxZeP/998MWYqMFhfz4fD6sW7cOl156qbBYWwDYu3cvCgoKui1ZdQe0b0eMGIENGzYYDkE7HSif\n3263n3buzzrVGAhuhKuvvtr0dSiPmQqOGoWiKJg6dapuJqgoCgYMGKCGIeihgXJZq6qq1BAJIy+3\nuLg49O3bFw6HQ71md+8/dOhQ1NfX49Zbb1XHbpYBWCwWNY+Wc47rrrsOffr0QVJSEq688kps3Ljx\ne/NFNsyODqDuVNbRhrHQNbVzQNek/2mZ32uvvYa0tDS4XC7Y7XasW7dOVU9FO3+oIRitG4fDgXvu\nuQeyLGPKlClCipIAwbX8wAMPYPjw4UKLqgLBNf+Tn/wEn332mZBeRARyQpH0qmcf9GqJkHOO+vp6\nnH/++ULuSy0fzUgaTU1NSElJ0S3Zcc6Rnp6O8vJyQ84TkswmT56M+vp6Q8yQHBWbN2/GmDFjdM8D\n9ZTJzc1FdXV12Or9US9foo+8rw888IBa1Vv7v656rABo99xJ7WeMtcvm8fl8qKiowG233YatW7eq\n1xRRBFUPKKD7nnvuUXOYRcc2pqSkoLGxES6XS2goT0JCAhYsWIC7775buETf0tKC7OxsNDU1dbr/\nzkrVmH6Tm5uLw4cPm/Zk+nw+VFVVIT093fDC8vv92LlzJyZOnGgoCPm5557Dr371K8Pxde+99x5m\nzZplumPZFVdcgaKiIkPecHougwcPxpEjR2Cz2VRnVE95hCVJUptvaT97PB4EAgG1zl00giRRMhX8\n+c9/7lYV8u5Ca/P1eDxITk5WJVpRoED3HTt2YPjw4cKuC5yan+uvvx7vv//+GX97VjNC8miZfXBk\nWDWStaGliXOO8847D01NTYbKrTc2NpqymzzzzDN4+umnDVW6IZB9q7GxUXe8ojZFj3OOqVOnorS0\nVHeOtUgQA+wYrqIt3hqtYTtxcXFQFAUVFRVITk42XZOvIxRFgdvtxosvvojHHntMLX8mUqKXZRkn\nT55UG1GJpv/JJ5/EggULupTMz0pGSDDSC7gzUHMisw+KnA56aaL71tfXqwHIRnD33Xfj73//u2pT\nMgKa161bt2Lo0KGm6sEpioL33nsP1157rZrbS3auGNpD2zdl4sSJWL9+vdoSUzSoiENWVhaam5uF\nX59MCx6PR3igNEmCxcXFaqpfVzgrnSVaUOqQWVCEu1lIkoRVq77XoK9LUHiKmfaHiqLghRdewI9/\n/GPTMWp+vx+jRo3C2LFjTV2HMYbCwkL4fD40NDQgOzs7alXRnkZSUhLKy8vh8/nw8ccfh6WnC6G8\nvBypqalqU3rRyMvLU3tui7YZc87x1VdfYc6cOabX+VkhEQLBai6JiYmmq9hS9Y/jx4/jvPPOM/0W\nJi+sXiiKgmHDhuHLL780JYX94he/wOuvv65+NwqKgauqqkJSUpJp5wC9zRsaGlSbLIXG9GRTpUiD\nzDotLS349NNPMX78eFUSDwco7U5RFGRkZECWZdPFSzqCTEx33HEHlixZYiqs63Qg77AkSbob2J/V\nEiHnHC6XC1u2bDEdtsEYg9Pp7LQVpF54PB5DObQWiwW7du3CE088YTgHl3OOZcuW4cEHH1QDY40y\nQwoEzszMxKRJk9qpb0ZAmyM1NRWyLMPv9+Pzzz9HUlKSulG19EbjC7u7oHHQWGju7HY7Xn75ZTQ1\nNalqsM1mC5sESJVsysrKkJCQgObmZng8HmFzq63Q89VXX+H5558Xas+keaO1YSTXvjOcNRIhEJwo\nM3a1jtixY4da6t4oOOcoLi7Gtddea8j7Gh8fjzfeeAOFhYWGF5Tb7cbSpUvVNqRm5keSJNUDfPDg\nQQwYMEDYG59CVsiLOXv2bKxdu7ZdYHK0BFHrgc/nU6sT/eAHP0BZWdn3gq3DPS56aaWkpKhpkqJB\n46QmS6JB64PaoBrhEWe1RKjFpk2bhGxMq9WKUaNGma6IwhjD9OnTkZWVpdtOwhiD1+vF7Nmz1fps\nRmhxuVz4zW9+g1dffRWAuRAWai1qs9kwZMgQJCcnqxKPtnWmEdAzIyli5cqV8Pl8asD473//e7WZ\nD0kGHWsL9pTzRUsP/VksFtxyyy3Yv38/WlpaIMsyvv76a1V11P42HPB6vfD5fGhra8P8+fORkJCA\n1tbWsDBBi8WCn/3sZ2FlgoqiwOv1wuVyCdcQzjqJkDaRw+EwvSkCgQCeeeYZPPjgg6btjrIsq8G+\nehcKMVCqVGN0obW1taGiogIjR44UlujPGIPP58PMmTPx7rvvhm1j+3w+1S5Jdi6Px4O5c+di/fr1\naGhoUNtHhjutTQti/hkZGRgxYgSWLVuGfv36ATgVoE4qXaSbUHHOcfjwYeTk5MBut8NutwtrnaCF\n3+/HyZMnkZycrKbPiYaiKPD7/YaSDbQ4q8NnOqK6ulqVwMxCVDgNEGREVOrdKC0tLS1qXJmRjUVB\ns6mpqcLLPwUCATzyyCOYP39+u37KkVJnqfiD1+vFd999h6KiIhQVFeGLL76AJEntbHMU1kE1GYlG\nSs2iAGP6kyQJo0aNwi233IJJkyYhMzMTqamp6saPBpWdc65K0JIkoW/fvsJ7C2tBBR3cbrfw2Ebt\nPYCghkb59GZwTjFCAEImDQiK/GPGjMHmzZtNX4tzjtdffx233367ofMlSWrXuN2IZEhSM3XhE+mh\n1dLzzjvvYMaMGQAixwi1GRK0fiijQUsHMQpieFqVWlvqX6t2UyC2VgUnST1cTEAviO7MzEycPHlS\nTS0Mlxd+5cqVKCwsVF8U4VCJZVmG2+1W01bPOUZoJueXcpCzs7OFSTxUTt2MlOn3++Hz+dR+ES0t\nLYau43K5cPLkSVPZEJRWlpWVBY/HE5aN7Pf7sXr1alxzzTUAeqejozeA9jDZa0WX+ddC6xAhe3E4\nQRK8qLXT65wlZgbOGEOfPn2ELgiXy2X6zcoYg8vlwvHjx9Ha2mp4jNTiETglreiFxWKBy+VCdXU1\nlixZ0q4WoChIkoQbb7xRbWdA9jQyfEfjS7g3QBtWVF9fj/T0dDgcDvh8PlNplacDOcEYY7DZbFi1\napUadxhOJuj3+1FSUoKEhISIOMDOSomQoCiK0DI/ixYtwr333mv6OqROpaamwu12GxonpS01NDQg\nMTHR8FzRy8Jqtaq2s3DEsZH3/cILL8RXX32lStaRdGycDaDQl4MHD2L48OGquhiufUxmhLS0NLWw\nidZsEI77AcG99uSTTwqXbnudamyml64WU6ZMwSeffCLEfkGLUNQiOHLkCPLy8kwluFutVnz55ZcY\nNGgQOOem3tKtra0YPHgw6urqYLVaw+JhJNjtdmzfvh1DhgxpZ38DYio0gUqIAack9WuuuQabNm0S\nLvl1vC85l6xWKyoqKpCenh62+xEouuKGG27ABx98IPz61CSsV6nGn3/+uZDrFBcXCxPhA4GA0Abl\nWVlZWLBggam3ud/vx8iRI7FhwwbTDCQuLg6HDh3Cs88+G5YEfC38fj8uvvhixMfH4+abbw6rXau3\ngqS9Dz/8EPHx8bDb7SgpKRGeEtcR1Jzr8ccfh8fjQVpaWljvRwgEAsjPz0dxcXFYrn8mwSpqJUKS\nSMxKhYFAADt27MAPf/hDVfIwCsoB3bBhA8aMGSOs2k1WVhbq6uqQkJAAt9tt6DqSJGHu3Ll49tln\nTXsxSY1NSEhQ4wRtNlvYbXoWiwVz587FokWLVHuiCE9hb4A2GN1iseCbb75BQUGB2v86EqB5zs/P\nx2effSY0he1MoMrwffr0CcuzpigJMif1KolQkiRUVFQI2Xzjx4833G1NCzIcX3bZZaZp0qKyshJp\naWmGvchAcCMtXrwYgwcPFmJclmUZjY2NWLx4samcYj3gnOOll16Cw+GA0+nE/Pnz0dzcfM44Vd56\n6y3Ex8fD6XRi1KhRcLvdYckC6QzJycnwer3Yvn17WCvedMSJEyfU8JhwPGsSgCorKzv9TdRKhHFx\ncfD7/Wr5d7MQmYdMwZ11dXWmu4QRWltb4XQ6TS9Av98Ph8OB2tpaYf0rOA926NNmd0QK5BVPTU3F\nzp07kZ2drQZD9zZJUWv3JofDyJEjsWvXLjidTkiSBK/XG1Ga7HY7vF4vampq1DzkSM2r1+vFP/7x\nD/zud7+Dw+EIi02amtJ7vV44HA5yLPUeiRAIirRHjhwR8pagJH4RDXWo41tRUZEwryd5bM0uRMo6\nSUtLQ2VlpTC1yuv1YvPmzap0aDavWA8YY2hsbMTgwYMRFxcHl8uF0aNH4+23324nrXaUXOk5h9v+\nSKYE0hjoj4z/RNPOnTsxefJkOBwO2O12OBwO7N69W3WWRYoJagPIDx48CL/fj+TkZACRqfJD9xg/\nfrza6lS03VO7Fkg4OBO6lAgZY8sAzARQzTm/OHQsBcBbAAYCOATgJs55Y+h/jwC4HYAM4D7O+frQ\n8dEAXgHgAFDMOf/NGe7JqSIvpYSZtcfRgqRwGhEMjNK5RFVeIYiKgbRYLLjzzjuxcOFC05k2RJ+i\nKLj11lvx3nvvwev19nh5e1mWVeafkZGBf/7znyrD1NrcwgVtmJcsy+pfbW0trr76auzbt0+1t9L/\nenLOyBFy7NgxtR1EJKVAip91Op1h1y5ovoFT9s/OJMLuMMLLAbQAWKFhhAsBnOScP8cYewhACuf8\nYcZYPoDXAIwD0B/AhwAGc845Y2wbgLs55zsYY8UAnuecn9ZHTowQCKqhTU1NwiQvKuBKPSzMgAK3\njx07JkxV45zjyJEjuOiii4RV8nC5XKiqqlLHLGIuOee44IILcOLECTX1LxqhKAr69u2LAQMGYOjQ\nobjoootwwQUXID8/HwMGDECfPn1Oex49S632oA1lOXToEDZt2oSioiJs27YNtbW14R+MQVAGUkJC\nAvbu3YvU1NSImxVIQl6+fDnuu+++sKX9UZmulJQUHD9+/Htr3TAjDJ08EMBaDSPcA6CAc17NGMsA\nsJFzPpQx9jAAzjlfGPrdOgALABwG8DHnPD90/ObQ+Xd1cj+VEdJARInOra2tuPnmm7FmzRrT9jhK\nN7rrrruwZMkSIfQBwYXb2NiIjIwMIaqKw+GA1+vFwYMHkZmZKczbTddJS0uDLMthjTs0CoqH00pu\nVGyCVFdt2SyC9rNW9SYthXKNSR2OdGUZPcjLy8PXX38NIMgIPB6PMPtxd+Hz+ZCUlIS2traw2ncl\nSUJ+fj62bdt22ugJ0TbCdM55NQBwzo8DoGjLLABa18zR0LEsAEc0x4+EjnUJEm2rqqqEMYW3337b\n9HUAqOrX0qVLUVlZKcy+whhDUlISdu/eLeSapI7k5uZi8uTJFF1vSv2miiuMMVRVVaGqqgqSJKmV\neiIV8tEVSBLRbgitukSqonY8HSvPELQZHMQQqbZgNIAkfgoVWbp0KTweD3bt2qWWf6M0z3CD7KTU\no4ZS5Ww2W1iYIBXR+O1vf4vt27frrggk6gmGzcJKG3bgwIHCOmHZbDa1f6sIcM4xePBgocZuxhhy\ncnJw6NAh5OTkCLmm1WrFli1b4HK5cOzYMWGBslSo1e12o7W1Ff369YsFSPcAOOdISEjAnj171P49\nojK09IIk7EsvvRSlpaVq1Ea4VGJZlrFhwwZcdtllhoQHo1ylmjHWT6Ma14SOHwWQrfld/9Cxzo53\nCq1EQW+yyspKIUyB+h0UFhaiuLhYiCMGCEqI1BNZRPMdWZaRnp6O8vJyjBgxwjRz0RrqBw0ahClT\npuCNN96AJEmmDNfaN6/T6URtbS0sFgv69esHr9eL1tbWiMalnQsg1Zyk+6VLl+L222//XmHcSIc7\nAUGGfOLECWRlZal7N5zlwGRZRktLiyptase/ceNGbNy4sctrdNdGeAGCNsLhoe8LAdRxzhd24iwZ\nj6DqW4JTzpKtAO4FsAPAPwH8mXN+2rb0WhshgYdqnlE5LLPiNalMTqfTdO9frRF9+vTpWLNmjSna\ntCDmVV5ejrFjx7azdRkB0UvjVxQFhw4dwsCBA9UqIyJsiNr7LFq0CI8++qiqrmgbqnc1Fu38RjvC\nSau2XiKZHgoLC7F69ep2KrGevbFx40ZcccUVpmmjdUN/+fn5+Pbbb+FwOIQ50bRzS3MhSRLsdjsa\nGxtVM0ZX82/YRsgYex3AZwAuZIxVMMZuA/AsgKmMsb0Argp9B+e8HMD/ASgHUAzg1/wUp50LYBmA\nfQD2d8YEOwMxwo0bNwqxm9GmpJ4OZhghgTGG4uJilJWVmaaPQAVYhw0bhvr6etOSpnYRWa1WOJ1O\n5OTkqN3kRNlvaEFKkoSHHnoIHo8HNTU1SEpK0sVse1MD+HDRSg6ZxMREDBkyBF6vF21tbVizZo1q\n4yRmqOf5dUdS6i4sFgtKS0uRnJys2rZFRhJo59bpdMLpdKJ///6oq6tr95Iwii7P5Jz/G+c8k3Nu\n55wP4Jwv55zXc86ncM6HcM6ncc4bNL9/hnOexzn/AcUQho7/i3M+nHM+mHN+n25CLRb4/X5Mnz5d\n9fiZZYi0cDZs2CAsr9JisWDcuHGoqakRujFYqA/LoUOH1O8iQMU1Kaxo+fLlwj3AjDHExcUhKSkJ\n1dXV8Pl8eP/999u1BKW3eW+R/sIFGj8F/suyjJ///OdoaWnByZMnUVZWJjQMyigoqJ6yv1JSUjBh\nwgR4vV5QDLBokIbR2tqKpUuX4ttvv1UrY5vdD71u1TmdTjzxxBNCrzlp0iRkZGQIvWb//v2Fe8eo\n14gZCfZM4JzjrrvuUisQhxNXXnklPB4P3G43/vSnPyEuLi4qw28ijba2NqSnp+PNN99UCy789a9/\nFVpXUxSojUVycjKamprCfj9Swevq6jBz5kyh147aXOOepiGGGGI4O2E4oDqGGGKI4WxGr1ONY4gh\nhhhEI8YIY4ghhnMeUcUIGWOFjLE9jLF9ofjEHgdjrD9j7GPG2C7G2NeMsXtDx1MYY+sZY3sZYx8w\nxpI05zzCGNvPGNvNGJvWAzRbGGM7GWNFvYDWJMbY26H772KMjY9WekP33sUYK2OMvcYYi4smWhlj\nyxhj1YyxMs0x3fQxxkaHxriPMfZfEab3uRA9pYyxlYyxxIjQqw1f6Mk/BJnytwiW9rIBKAUwNAro\nygAwMvQ5AcBeAEMBLATwu9DxhwA8G/qcD+BLBLN2LgiNiUWY5vsB/C+AotD3aKb1FQC3hT5bASRF\nI72hdXkQQFzo+1sA/j2aaAVwOYCRAMo0x3TTB2AbgHGhz8UAfhRBeqcAsIQ+PwvgmUjQG00S4SUI\nBlof5pz7AbwJ4Noepgmc8+Oc89LQ5xYAuxFMEbwWwP+EfvY/AGaFPl8D4E3Oucw5PwRgP4JjiwgY\nY/0BzADwsuZwtNKaCGAS53w5AIToaIxSepsA+AC4GGNWAE4E00SjhlbO8XjLvwAAAplJREFU+WYA\n9R0O66KPBVNm+3DOd4R+t0JzTtjp5Zx/yDmn2LCtCO61sNMbTYywY+WableoiRRYMNVwJIIPqB/X\nV4EnUlgCYB7aF8KIVlpzAJxgjC0PqfL/YIzFRyO9nPN6AP8JoCJ030bO+YfRSGsHRKxSVBhwO4IS\nHhBmeqOJEUY1GGMJAN5BsOp2C75fcafH45AYY1cjWEm8FMCZorl7nNYQrABGA/gL53w0ADeAhxGd\nczsIQZPDQACZCEqGP0UU0toFop0+AABj7PcA/JzzNyJxv2hihEcBDNB877JCTaQQUoXeAfAq55wq\nKlQzxvqF/t+dCjyRwEQA1zDGDgJ4A8BkxtirAI5HIa1A8O1dyTn/IvR9JYKMMRrndiyALZzzOs55\nAMBqAJdFKa1a6KWvx+lmjP0Hguadf9McDiu90cQIdwDIY4wNZIzFAbgZQFEP00T4bwDlnPPnNceK\nAPxH6PO/A1ijOX5zyKOYAyAPwPZIEMk5n8+D+eCDEJy/jznntwJYG220huitBlDJGLswdOgqALsQ\nhXOLoJNsAmPMwRhjIVrLo5BWhvbagC76QupzI2PsktA4f6Y5J+z0MsYKETTtXMM511ZtCC+94fRi\nGfAiFSK44PYDeLin6QnRNBFAAEEv9pcAdoboTEWwJ8teAOsBJGvOeQRBr9ZuANN6iO4CnPIaRy2t\nAEYg+BIsBbAKQa9xVNIb2qC7AJQh6HiwRROtAF4HcAxAG4K2zNsApOilD8AYAF+H9uHzEaZ3P4Kt\nPXaG/v4aCXpjKXYxxBDDOY9oUo1jiCGGGHoEMUYYQwwxnPOIMcIYYojhnEeMEcYQQwznPGKMMIYY\nYjjnEWOEMcQQwzmPGCOMIYYYznnEGGEMMcRwzuP/ARTXHrtCr+2yAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112e33c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow(img)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting the image as a signal, by going along column 550. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('float32')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JXPN9aOcgSeTmMH3J51OC6cdQk+D0Je/k9NN9hw76NiE+88wzi9mOBn2l1HYi\nOhXApehyAOcppa4molO6anWuUuoaIvoMgKsAbAdwrlLqu36bhbzvCbWYxlTlHem4oUSuT1P3JWpT\nmL7N0l0BPrYQxOSkGNN3odTnw6mTtOkrQTtWNHkHgFLqEgAPtMrOsd6/FcBbY7ZK3dA+5R2gzta4\nFPqWd7is3tc/FDBt/Z3L9EPwSTOuRUW3DTH9lOsvkbDNJQml52Zfi8NqlHdqYtK/vdOXvFNj0vUl\n75S2yR0rxJJDPijV/R+5Zr2P6fvGc9X5xvXtNELX4HrPWQhyE7k+uxKUTORK209J3lnJmOxv7/SN\nGkx/aI02J6jkJHK5Qdeut8cskci1+7sWGl3OZfq1ErnS3IWrP3ecEv6UwhDxYooxiovJ/vZO3/LO\nGMeJjVUq0SYN6qH+kr4cpl8ikeuTl2IyVOgacpl+jd0dB7Xmbp/Xk3sNjemPGGOUd7jjlHy4UoKH\ndHypjs0JmDEJyA7AksSq7YuPpft2GrFktHSnk/I5uHwdUyJXyvT7DKZjXfzGgCbvMFEjaVV7gail\nGUvljVDANAOsb2wf0/dJMTZ8mr5LHvIF89DCwfHB1Ua6WPeRyK0VxPtM5OaiL9lqKDR5p3C/vk9I\nlEzMceUdSV9uPWdcV0COLRi6LsT0uad3Yr6EfOfYsZGSsC6BWsG8r0Ruk3fCaPJOhf5DMBNfea1A\nIAl6PqbvS8ya7Vys3lUmSWJy5SX7erhMnxusa8gjuSRBgr6CY4rPTd7xo8k7hVFDsqkh7+Ro/SlB\nj8u0XcHZxebtRYDLgEPykm+MkG+udr6yEoncnGentLwjad8SueNBk3cq9ouhD+YmTRRybeQsWtyA\nFmP6GqmJXFfg9sk7scRxCtMPlbvs9MXiJYncGnZLoDF9P5q8U6H/mOSdGmPEErmuMk7QtYNzKFFr\nykGSoG+P69op+HYWvt1KDabvg0TGSulfi+nnoCVyy6LJOwzUSFb1Ie+E+pb+DGJM1zd2KGlqM33X\nIsBNunL1+NBC41s4XD65fPD5xi3PDeilGXwfRGgIeWelo8k7TNSY4CXknZy+0tMhKe3strFEbozp\nuxYBjj/cRK5LUnJdg4nUz7vG59O3rFGDEJVA7nOzkheOJu8wMNaJDZTdrnM1/Rx5xzVmiCVzmb4k\nkesaP6bp232l96QU0+deZ04bCdNfqfLOSkaTd5gozfRLyjspmr70M4gFNa7mHwoUvkDpY/ocm7pt\niOlLT7VSaisoAAAgAElEQVTY40kWOE671PaxNtLrzBkrx27qGLljlbYxVjR5pzBK7z5qbtdT5Z0U\neYOTyLXb+YK1HfglQT+0kzDbuq6Rmxewry2EknJKqfldK5inzuWU66opi04dTd5hYIwnGjhjSbff\nXHnHVRYKeiGpwwywnIDmCvglmL5L03f56irnMH2pXJOSyOW0KTk3+wiOQwXgxvQLY4o3tMaJhlLo\nW95JSUCGWLKvbyjQx8YLje9bdEL2QnkBqQ/cPqk7MYm9XPu1djQ5yB2rJXILY4ryTo0HoaSmn9q3\nVFCRJpN9p2dcurkv4NvtUxK5rv6xXUmor69fyL+S8sgQiVwJmrwzDjR5p3D/MWn6NR9K6emVkKbu\n20VwmH6OvOPq79PuY4ljzk5IwvRTF4k+E7mS9n0mckugMf3CmNoNHbO/UpbN7Rdqyw3wvnofM05l\n+jmJXFeZbwfks1GL6UvloL4TuX0xfSlKyDsrGU3eYaL0iYaS8k6Kpu+r940lDfS+/jarNut8jLwW\n0y8l77h8cmFops/pX4vp56BveSd1zKmgyTuFMSZ5ByirGUvacfX2UCCMMX2zDzcYxuQlrrxjgsP0\nfeiT6Zdm8KWJUO4YuWPljDklNHmHgTGyH85YKUwypS2H9ftOz5g2fIE8FvilwTDE9G17Lq3fZTPG\n9F3XXCOg9R2wapCKnDFyx8oZcypo8g4TpdlPH/JOrG+f8o6rnU+uMeu5AT9V03clcl2+mO/thYv7\nWUrut2+RyA1GJeWdEv5wxugbfVzXkGjyDgO1mH5teUc6efuSdzg6uZTp52j6voXG1dZu7yvjJHJj\nfjd5Jw1N3gmjyTtM1DrRkIuh5J1QUI/JO6ExYoHOFfAlQd9u68sRxHyRXn/MHhe15Z2aUmaTd8aB\nJu9UQOlxxibvcJhuyKaPaYfYsan5u4Jnqrxj9+fo/6WYvrQ8l+lz24yJ4Awl76xkTJrpj1HeKa3p\n58o7NdtrcE6vxJh2qJ1rwbEXAcnCyJV3OLKP/dp1Tb7y2P2WLMocm1JZjgNu+ynJO6VsjBWTZfp9\no4Z+2ce9kDLMVLuhnQDHBzOIm2W+IG+OJWHAMbnIbuOTfWKBfqxMn4NaTH8q8k5L5I4Ufco7feiW\nqeOnavq+eglrlyDE9M3AK2H6Mb/NuhjTj8k4oYVjKkyf07+mpp+CJu+UR5N3eupvo+RuoFTCViIN\nhOQNTr2vfYiJ+3IAOZq+vVMIyTi+cpddLvokFKUZfI3db4m+Td4Jo8k7DNSadLXvRS37sURmqN7F\nqmPsPcT0ddDOYfr2a5+mb9e76nxlUrkmRZYbIlDVXrRS53CfubCpock7TIzpRIOJ1O26pDyXyXM0\ndfu9DuQlmL5t1y73yTv2NXCZPlfeCY3n8zWGPuWdvpi+FI3ph9HknQqQyBkl7EmCTKieK+/EmD4Q\nDoq+RSSH6Yfgs+vzQ5rIzWH6JXeRuXq/tB1nzFS7qWPkjpXbdwpo8g4DtSZ2CeYWwxCMJbQAuAKq\nK6jbTD9k3x7DVRdLJOfIO75riPktlXckOxqJXUm91J9cDBUvGtMfIcYq7+SOI0VMHkjRhjltpYna\nlOSoPYbvfU4il+tDaAeQs7MrKe/0zfSn+Exw0MdiNiRYQZ+Ijieia4joWiI6PdDu4US0lYh+N2Rv\navJODaY/RnmHM5avHye5qduFFhHXSRqbRbvel0rkxhaIULk9Zqxf6URuzCYHJeUmG03eGQeiQZ+I\n1gA4G8BxAI4AcDIRHe5p9yYAnwnbS3N0aNRgNWOTd7iavm03pN+HfPAlZn02Upm+aS+WyLXbcJi+\n3afUXCnN9LltajD9VDR5pzw4TP8YANcppW5QSm0FcCGAEx3tXgLgwwB+XNA/L/qWd7gY06KWwiRT\n7XJ3Fb4A62P6dlkq03e9D41pl4euISeRK0UO00/doZRonzPfau4+XBjTM1wDnKC/P4Abjfc3LZb9\nEkR0HwBPVUr9LYDoLVvJ8k5K+xx7OYk5rryTu8Byk6CuQGnWSWz67PgCeYzR10jk2nZj5X0Fo1pM\nP8X/1Gue4gGIvlAqkft2AKbW773lU11FSz8IfUhAJR/KHHnHLnMFUv3exaZ9TJ+bTI0FcnMs3wIh\nTeSWYPrSnEspeUeClRgcV3oidx2jzSYABxrvD1gsM/EwABcSEQH4FQBPJqKtSqmLbGNnnrkRCwvA\nxo3A3Nwc5ubmkhzvU96pxfT7WABTE4IhSOUdjmQSSuTq165AK03k+jR937W4fB8z0+9T3qmR5yrR\ndyXIO/Pz85ifn69imxP0LwdwGBEdBOC/AZwE4GSzgVLqEP2aiM4HcLEr4APA6163Ea9/fRf0c9GX\nvCPpX2PCpLK7UkwyRfKxAzQnCWoHWI6mb7f1IbbTiMk4IeaeyrCHYPoc1ArmTd7hwybEZ555ZjHb\n0aCvlNpORKcCuBSdHHSeUupqIjqlq1bn2l1C9sawikpRYwL0Ie9IxonZCTHZmLzjk204gdDH9M3+\nkkSuK5Hsk3dcfX3jxe6Jq42vnQ/Sxc2FnBxQij9TxBRjlAQcpg+l1CUAHmiVneNp+/wCfjF86mOU\nGWqwn9qTK/RQ5t4/adCLSR6xoO5qr9/nyDuuMp+m72vPuVbfIlDy88ldEKTtJJiSvFPKxlixan57\np+S4IYyJJZSWD3yQLAAxlmyzaVfgDeUBfP6lyDscG65r8NkJ5Q5cyJWxUlCT6U9F3hnTM1wDq+a3\nd3LGrcE0JDZzdNwSDyWHycYkptgCE2L65mtfwC+VyOXKOz4/XfUh1A6a0vF8n1UtfzhoTL8sVtVv\n7+SgxoOQq9fH2pTS+l22UhO5Pk3dHsdk+jFmXzKRa/vgqne9j90faSI3RfYZQt7hzqPU53Uopt+C\n/kjRl7wzBNMohZAvqfJOCtNNCaSuOlcOQJrItf0KJZc5iVxp/sJnP9a+FEkIoebOYyqyyVT8TEWT\ndwr37zsJJg3qIXDlHVeZhLW6AqkO4lINX5rINe247PmkoNDC4SuzfZD0qcH0OW0k8g53TEm7En2b\nvBPGZJl+nx/KkJp+LrsrdTrEJcGEbIXkHY5tO5Gby/RD8pLtr2+B8C0CnEXRthtq52ufOxc4/Wtq\n+i2ROw4MFvRLBO2+5B3JWKU1/RzE7KfKOzFbrkUhpqmH3rsCv/maw7JD7N0n7/iCLnfhcl2Lrw8X\nU2X6U8NKvS5gwkxfij5X79ITJudBL6HRcpksx3aMaXOYvovZpyRyTXtmnXSBqsH0UxeJXKZfox0w\nLXmnMf2RYqzyDnfC9CHvhGSPvuUdjm0p0y+RyA21CWn9oZyGJGhKczK5TD+GmgF2KvIO0Jh+FaxU\neWdomxL7OfKOJOj5AmaMzbqkBpvpl0rkchi9T95JlVVSNHHJjobrh11fatEqhb4DcF/XNRQGCfpD\nbJ9yxhzi9EApezWYWMpiG9qN6DZ2gLV3Cz5mL03k2uOHGL1Zbtt0XYev3tXG107SX4IhE7klckW1\nx8oZc0qYrLzTN0o/CKXkHak8kIKUvIEdsFOkEd3PrnfJOzH/Yjq9TwJKYfqlErlDyTu1gnmfwbTJ\nO35MVt5J6d/XB1lSr8+1I9X0feWSQBc63eILqKlM35cP4Iyv3/vknakxfU7ALi3v9IEh5J2VjEnL\nOxI7fck7Y5owKUwyxa50J2AH1tCCwWX6Egbs0vTNOl9w9u1WxsT0QzaHlG2mJO+UsjFWNHmHiT70\nyxR7KdKLD75rjMk3rr4heceH0OIQYvpSTd/F5nPkHVdZLtN3oQTTj6EmwZmKvNMSuZUwJXmnxoNQ\nUgKKJUlzxnfZkjJUrqbuC84+pm+WpSZy7bIUeacG05fKb7quT3mHY68EpGO0RG4YTd6p0L9vTT8E\naaI3ZbvO6RNi2jF5xx4jRd7hJnJ9be1rsJG6OEs+nxwCwO1fS9PvU97J6afRmP4qx9Cafs4DU8N3\nqbyRqvv6krVr1iyXd2J2uYlcs00q0/eV2UiREXKkPq79WsE89dloidyyaPIOE6UfhFK7ASmTl47P\nacvR911M3xU47XZ2wNdBemFBtrCEmD4nuIfyAraNWvJOCU1fsisr1Y47bu4YuWOVtjFWNHmnMIbw\nKTW4S+SGWKIy5kOMabts+ph+SiLX56dtO+arq5zL9HPlnVj7WNDnyjsSDL0LrjFWY/oNg6/6fbGk\nkgzPZuEhNm2W+Zi+aScnkWuO5csJxPR/1/u+mH5uIjcGqaY/xkTuVMfsC03eYWKK8k6oPlfeCUkr\nIc3fFVBjTF+/toN+SiI3tNOwx3QtOC4bOZ9lyURuCXlnJSRyc2NLX4vZUGjyDgO1trC170PMfqq8\nw0nkhmxy5BbdzpZ/bKbPlXe4Ow1OW1d5bCFI0eg549p1JeSdsSVyU9DkHT+avMNEH6ymhr2hHkqf\nvBNK5IYkGxfTl/jtS8La9nyMPpTI5eY3JIts6iLRt7zTB5q8UxZN3ikM7oPQh7yTmuDltJUEvVAg\ncTF5u5+P6Yd88PnK2aXE5B6ODc79LbkT445Zwi+pPUm7HF9yx8oZc0po8g4DtU409HEfpItCDXnH\nrI9JMSHdvKS845NfYgld13sO05fmVlKYfil5hwvp/E2d7ylBvMSOZ6WiyTtMjG3Ly4E0IZXK8KQ7\nAV8bX2CNMf2cRK7d3xc4OTZ81+Zrw10AY3ZdPobaxOqHlDJttERueTR5p0K/MWn6NWzGgl5I3vFp\n6q6+Zr+aTF8q79jlqUy/NFPuO5E7psXBRkvk+tHkncL9x6bpl2CSJRboEEvWbewAu7AQ1vTNtilM\n3xXEOUHeNV5qkrWE7GPW9ZnIjfljo095p8GPJu8wMFVNvySTDMkXHHknFGB9gVgHfduOS94JQanu\n93rM96HgLk3kchbKFKYf2oG4UELe4YwjbZeDlsgtjybvMDHkg5DjdwpjjEEq75hlEillYWEWrEPy\njt3Xhrl42LsG39gh31zvY9fvKy9NKPpM5EraT0ne0VipO4wm7wyEvuQdqW2uvMNJ1PrqQ/Z8zF4j\nNZHrYvq6zE7kuvwKSVQ1mL6vfew6cyHV9Ju8Mz00eYeBqco7El9idrhM3jWuL5EbY+uuRK5tw14U\nXLCZvlJu9u/y1XeNfTD9IeSdsSVyh5B3StsZG5q8w8QU5Z2auxtJsAoFklDA1YFZ/35+KJEb8slm\n9S6fYgncUCKXuzuykbJY5yRyufLOSkjk5s596S5mSmjyDgM1mH5fuwFp8EgJVpI+vofJJe+Yp3f0\n7+e75J0YXAlhjrzjY9opOY2U+12D6cdQi+mnYihZdmxycEk0eYeJGg9C7WSTVNP3tc9dCGIs2sXU\ndSC2g7wvkRvy08X0OfKOaTOk0acu4ClsMofpx/qbfpXwJ6VdCTR5JwxW0Cei44noGiK6lohOd9Q/\nk4i+ufjvS0T0kJjNKck7tTT9UvZKafqSMXLknZA0o9+vWQNs3x4P+qYdn08xpu/zyd4BcJm+bc/1\n3mcnhFymz5V3Svlj252avLNSEQ36RLQGwNkAjgNwBICTiehwq9kPADxWKXUkgNcDeG/YZpqzOXb6\nmgSlJ0uOvVAgLJnfkCQHQwHTDrymvOMK+iGd3R4/xvQ52r1v4QoldWPl0p1aDgHgoJamnxr0hwy+\nq5npHwPgOqXUDUqprQAuBHCi2UAp9RWl1O2Lb78CYP+ybk4LJTX9HDtSecdnj1MWWwg4konZjsv0\nY7kCwM/0Y/KO+R+wxxK5Y2H6MUgW6Fx/bLtrEsXkIXbaq5rpowvgNxrvb0I4qL8AwKdjRleqvFNj\n99GXvMOVBiQB3q73sWcXc4+d3slh+lx5Z2FhVu/brdi2cpl+TLcP1ZWQd2owfXvh5SI1+NbOl00Z\n60oaI6LHAXgegEf72mzcuBFbtwJveAPwpCfNYW5uLmO8Om1z+5ecLLnyjg+lJ3RsLOmCYjN91+kd\ns33Ivovpl5R3+gposcRvjm5uj1PCHxOlfOOOlQvJtdXA/Pw85ufnq9jmBP1NAA403h+wWLYERPSr\nAM4FcLxS6mc+Yxs3bsRb3wq8+tXArrtK3R0GNZh+XycMSmjGUjZq19ss2SfvSDV9rk820+fKO6HF\nwLafIu/4yn1tOfJOrgTUErll+udibm4pIT7zzDOL2ebIO5cDOIyIDiKiDQBOAnCR2YCIDgTwEQDP\nUkr9J2fgKck7QJ1JUMqmRE5IsWPXpcg7MR9dzD2m6XPlHd9v70hO79jXZS9qKfJOihQzVXmnJXLH\ngyjTV0ptJ6JTAVyKbpE4Tyl1NRGd0lWrcwG8FsBeAN5NRARgq1LqGJ/N2sGu5pgclJ4sOfYkDDPH\nLnchcLFnO/ADXRDlMH1fgLZ9sQN86Jy+6QNH9nHJOzlM34e+mL5E3uEiJ5ErRUvkhsHS9JVSlwB4\noFV2jvH6jwD8UVnXxoMh5Z1amr6vnuNXLMCFbIbYri2txH5PP4Xp20lh20eXD65y+/pCOyHOtdv2\nfJgq00/Ne0jGMFEiaK9Upt9+e4eJGg9CHxOzxIIlXQhiQTGkY5vB2ZR3gOXM32zPZfp6B+HS+W3/\nJfJOaabv+iw48yV3TtVk+lOSd0Lzaepov73DQK3kVqnxQ8yylLyTw+5DSVOzzJfI1e/N9jF5yYRt\nZ2GBJ++4pCjXWDmavvRzSN0FSNqMSdOXjJHa3oWVLO+0395hosaDUHpcad9a8k6MpboCaIjp63KX\nxs/x3Wb6uq8rkWsGJ1PTD10DR7pw+SbdWeVq+lx5h4s+NP3U+d/kHT+avFO4X2lNP9dOLXlHwrRj\n2juX6afKO7am72L6PnnH1PR918CRd0y7sXa+tqH2Pj+kGKOmPwSm5KsUTd6p0L+0pp8j76TaDNmS\nMkZfIAkFRg7Tt/tJNX2pvONqb9t31fvQN9MP2ZbY4PqTatfVt2b72nbGhsky/bGiNEMowdwktiUa\nra9PKJHrY9W2XGMz/W3bgHe9yy/vcJm+tsuRd3y+2tdc48hmDabPXazHpOkPJe80pl8YQ+ltfcg7\n3PZ9LHrS+5zD8GK7Cm4w8jF9ALj99jR5x6Xph36GwaXpxxK5nJ2QK5ErQSzx27e8E/PHtjulc/ol\n7YwNk07kjlHeqeFTzokNKcMsNYaP/dsB1tfHZvpmuY/p++DS9ENyjUvTt9tJNX3J55Aq73DalAxk\nkrk+tXP6kgVtamjyDgND+przoMf65iQWQ5JOqK1Zt7AArF07a2OzbJvp6/4uph/y3afp++Qdcywu\n0+ewWAnTT5V3JOP7bKwEeScXTd4pjKHknRyUfhD68l8yTo3djPbBFZwXFrpg6VowiLqgbwfTlESu\n5PSOT9MP7QxsFitZTEt+PkPIOzXsuvrWbF/bztiwquQdc6suQY3AKW3rQyxRW0veCSVyXfWuQKqD\nvm5j9uEwfW4i12TiZiI3Ju+Ezumb18iRd3zjSOQdTl2uvFOT6U/pnH5j+hXQ9yq6dm160AfqPAil\n7KXIO76HkCPvxBK53ERvjOnHNH27PZfp60QuR97hzBn7XpZgytx7aPuRIhlJbEjtaUztnD7QmH5R\nDCHv6DFzAr9knBi4/pfYrrtgBz1gObPNHcNV72P6djsp0w/57tP0XUzftStx5Q9Mf0sf2azJ9DkY\nk6YvGSO1vQstkTtSSCdRKtuvNen6kHd88AV91/3hBKZQ0PM98La8Y9qRMn2f73ocu50vkWv7ENr5\n+OQd7s7L12779lmCm9Neo5S8w0Ufmn6Td8pj1cg7wIw9pqBWkpNjL7ZQxWQcF3xB33d/OEHNVx/T\n9PViLGX6tu++++TS9Dn/XaL5Oz2ha8wJtq5yX9AP2XH5Jakz7Y9J0x8SjekXxBDyDjA+ps9BKJjF\nIGX6kvsTS+TabV1SivbBXGxiTF/X+RK/LsR+Tz8k7+j74fLDXCjse8lN5LqQw/RjKJnI7UvTlz5P\nJfIHjemPFNIPZkxMnzuRcxPQUqbPGYuTZAzJPyWZvq4P3Sefpm+zf9tXPY5PZtIofWQzlen3nciN\n+ZNjVyOlT+j+SdCYfmEMcUNzAygXJTX92EI1lKYfQmgByGX6oUSuRNM3y8x54Uo6m18ic12XK6DV\nYvq1E7lSpj/GRG6JoN+YfmEMJe+kMv1ayS0O1q6N+5yi6bu++MTV9G27nPsTY/rbt/ej6btO75jX\nbZcr5f+SmE/eqcX0+0jkcsaRttPj9nVOvzH9MFaVvJPD9EsH8z7knRATc7FX7lgSecd1Kick70iY\nvmmXy/S1XTMI2ddtt3Xdq5C8Y163r499L0wMLe9IwG3f5zn9Uky/Bf3CmNLpnSGPbI5V3gkxfe7D\nHZJ3Us7p++6TzfRtnd5m+uZYPqZvtuUe2bRRI5Hbt7xTw66rrwTbtwPr1qWNpdHkncKY2ukdoM6D\nwEEteUeayI0FNZ8PrgWBk8gNMX3TT04iN3ZO37zH9m5DB/0Q0+dIF2M4ssnp3xK5MzSmP0L0dXqn\nBtOXyDs1ThxJz+nb4AQP/dfnRyrTdwV4yTn9q67yJ3JtHziJXNfpHZcvJRK5IeQuCNrGmDT9FGzb\n1hK5IawqeWdsTJ8r7/R1ZDNV048dz7QDom6vZRNXIjfE9Neu7R7s2OmdG28Evv3tpXYuuQS4+GJ3\nIteWfbQPnESu6ae+nksv7fx03SPz/tiopelzUYPpp2r6KUStMf0wVpW8k3NOX4KSkyXG9Ldu9euX\npTR9n6bNGSukd5tM35ZrYkzftTOwfX/KU4CHPATYsgXYsKEru/vumV+mvHPxxcBpp83kI23bx/RD\nC9u6dZ1/xx0HfO5z/ns0hKbP3aFx0Iemv359N8claIncMFaVvNPHN3KJgAsvBM47Tz6OC7Ggf/fd\nwE47+etLaPpbtgA77OC3G0v0+up0MJUwfaALqldeCVxxxVLfL7gA+Id/mJXpYHHnncCuuy61Yev8\nAHD22UsXUEki16zXOxG7jQs+pu9byPs4vSN5rr72NeCee8rb1diwYZigv5IxGNPv40tSNvr4Ri4A\nfPCDwAteEG5T4sjmtm1d3fr17vpSmr7JlH12fWw+JO/YiVyzL5Gb6SvVtf/Sl7r3+uFeswZ429uA\n5z1vuW+/+MUs6Gt7pl9mgDCDbUjTDx3ZNH/xU5dv27b8c1opp3duuYVnN0XTX7++m38SlDq905h+\nQey4I7B5c56NPk/vXHghb2IDdTR930K1eXN3L1NO77jYq+v+LCx0D50dsGL33/yGKzeR69Lo7b52\nANZ+mWVah9e4805gl12W+m0f49Qw7YQ0ffO0kWths4P2PfcsXTg1pJp+aP7GArZewEJwLbQlkKrp\nDynvrFQMEvR32aVjX30jh+lzg35phOSdmLQTY/r2g+GSd9auBT70oTDTtwPXd74D/P3fz+q4TP//\n/b/lSVRX0DdZnH59+eWzssMO68q/973uvSnvaHv26R3bnunrHXcsJyn33AP87d/OrtFeFLQdPYa9\nW7LvhQlf0Lr9duDjH19ebtv04YtfBJ761HD/l7wE+OEPw23ssX7843hb87OVYMOGNKbfErl+TDro\n96XpS8Dx6c47gcsuA37+83jbkM+bN4eDPlDunL6LpZowr/uOO5aOzWH6W7YAv//7wM03z3xxsU57\nsXJt46+/fun7zZuBnXde6ot5/fYuwbym738fOPJId2Cbn+/KXYuTHXRceRGpvHPXXe72GpwgxZlz\nt98eb2OO9/CHh3X9yy8HfvrT/ph+iSObt90G3HRTno2xYpCgv/PO8QlcA32d3onhZS/rko4f/Siv\n/Sc/6S7/2MfCwTikS0rP6ZvBNaazasnlzju7di72bC4Ia9d2QQEArr12Vu77eQOXvBPCHnssv1Yz\nCJt1+nSPLv+zP/Pfw09+Ejj6aLesoue3vp+l5J0QYvLOfe7Ds2MvTj6YcyVE4n7yk+5vqqZ/993A\npz/N71OC6W/eDDziEXk2xopBgv62bV3SLdeG9INNYfrf+lb3t+RW77bb+G2/+13gv/7LXXfaacAP\nfuDvK03kxpLGGrvvPmPzQHeK5utfn73XC8Jb3tIxyz32WO6TeU1r13bn6U2sX98la+1rt6UUTsJu\nzz2Xj2/mKcx5ZLJKDjPdtAn4q7/yBz19L97wBvcC9fnPLy/zBS392bz97cvrNm8Gzj8/7PPLX979\n9TFnXR7b1WmYc+LOO/3ttCSVKu9ceGF3/JaLdnonjEGC/pe/DHziE3k2ONKGjRSmf9JJ3V+ursiZ\n2JIJqR/AVFkqR9655prZa/P6d999qUzwwhcutaO3+n/xF1273Xdf7tNrX7t0XBva/mc+s9xv00dp\n0Nf3w9TYfQxUEqQ++1l3+ZYt3YJw/fXL55B+b89JX9DSQfllL1v+ueqcRshnfZ0+DV7vTrjXbQb9\nENM/5xyZXRMLC/5760OJ0zsrGYME/dyvY199NfCFL/C3oRopTP/WW7u/Ul0x5gcA/N3fxdvqcbk6\nqwmi7mH8xjeW13GC/rvfPXsdCvo2zLa337406OsH39wpuBbir33NbVuppcGGI+8cddTs9eGHd39P\nPXUW9H2LsCRI+eb0i140OwRgB0a9OL7+9UvLb7116UKlYc5Bm1lrWyFt/UUv6uz6tOqcoB9i+hop\nQV9LQwD/2W1MP4xB1sM99gB+9rPlX5jhQj88O+4oH/fXf102IfRYXKZv6vS+69M2Dz44bk8/xPvv\nvzSwSBavo4+eHVk0fbAD1S9+sTTXYAapAw+cvd5vv04qePWr3eOZ9+pxjwOOP372fvfdgTPOWBow\nTB1dw7egLyws7cthdPe97+z1eed113jzzTMG6ZsP//Effpt/8AfAP//z7L0v6N96K3DEEd1rX6De\nuLGTwjR+8YvuM7NhBv199lk6pr4noZM0GzYAz3lO9wy47pv9XYkYzM/hsY+NP1cpZM9cxNauXT6P\nXdi6FXjxi+VjueB6hv/kT4A3v7mM/SHACvpEdDyAt6PbGZynlPpLR5t3AngygF8AeK5S6kqfvV13\n7Q9B39wAAAk+SURBVIL+ZZcBD3qQ3OlbbumO5UmD/qc+xfv2oIkPf7j7wo/02BgwO4liY+tWYK+9\neDsV7a/9MH/0o90DHIJ+eL/3vaVJvG3bOsZnP9x6V6P93rRpxowf9ahZuzPO6I72abzlLcBZZy33\neW6u+3kD83N6wQuAk0/uciXapiTo62/IanCYvvngmu319fpwww3+uq9+den7UEC75Rbgd34HePzj\nl5abc/E975kdpzztNGDffZfb0UH/Na8BTj99ef1uu8WPFr/tbZ3s5sNuu8mD/tOe1uUTfHjc47q8\nT0pezPzsLrggfuRUQ5/WyoXrGebMuTEjGvSJaA2AswE8AcCPAFxORB9XSl1jtHkygEOVUvcnokcA\neA+AR/psakZwxBFpH46elFJ5Z/16+Qemt9lbtgDz8/OYm5sLtn/Pe2Yad2wnw3m49Plw29a97hXv\nq7Hffl1/239bstJMVI+1335ue0RL/Xn604F//dfZex3MXv7y5X7rvve+96yMH/TnodScmOn7Pgct\n75j2uPjRj5a+9wX9hz+82918/vPd/Qfmfllnnv0/9tiZn/o7Djb057X77v5rip2ZX7MmbV665r6+\nbzvuGLZ5+undcdyU+/ziFwP/8i/d6yc8IV0d4Dy7LqSON2ZwNlzHALhOKXWDUmorgAsBnGi1ORHA\nPwGAUuqrAPYgon18BvWkSl2NdQK3jxX3MY/p/r7sZfqhDeOEE3hbUICXJ3jFK4C/XLav4iWx9XZd\n+2P7bwdbW37YddduYX7jG8PjHHFEd2Zd46yzgHe8A/jN3/T3ue99O4kE6BjwqacurXcH0XmRvHPG\nGd1f3+dhnuQJ4elPX15mJ6d9Ac3MTdj3Xy+OO+3Ek/r0GL7TNX/9190R01z4gr4NveOKLbxPe1r3\nNyUv9oQndIngL3zBT0I44Dy7Nk44IX28MYMT9PcHcKPx/qbFslCbTY42v8TFFy9lhlLogNDHN+b2\n2qsb52EP47Xfb7/ueB4HHF3+mGOAV75yefljH9uVX3aZv++uu3bJWB8Ltb8rYSdU16zpjlLq4MnF\nYx7TSRQh7LAD8L73da/33Rd417uW1r///e5+trwTklW05OQL+jrY67++c9kucmGPK5UNzT7mSaYQ\ndND07XBf+lLgkd79dXnoRYhL3lKYPgD88R93ElHfkCoJU8EgiVyd2MrB5z8P3O9++XZqgMPCL7ts\ntotIwQ47uHcAJoi6Exs+2Im3N7wh/kNxfUHnEmxWu9NO7i33brstPREEzIL1IYcsLb/iio5B6sVA\nt3vWs5Zr9cBSKUpj772XSjx77eW+jhB0sHSd1HFB7y5SxpJg77157fQ855KcKZ2oufJK4IADhvai\nDkhF6DIRPRLARqXU8YvvzwCgzGQuEb0HwGVKqQ8uvr8GwK8rpW6xbK3QX7NoaGhoqAulVJGfgeMw\n/csBHEZEBwH4bwAnATjZanMRgBcD+ODiInGbHfCBck43NDQ0NKQhGvSVUtuJ6FQAl2J2ZPNqIjql\nq1bnKqU+RURPIaLvozuy6fhV84aGhoaGoRGVdxoaGhoaVg56+xkGIjqeiK4homuJyPHVkmFBRAcQ\n0ReI6DtE9C0iOm2xfE8iupSIvkdEnyGiPYw+ryKi64joaiJ60nDez0BEa4jo60R00eL7yfhPRHsQ\n0f9Z9Oc7RPSIifn/qkW/ryKifyaiDWP2n4jOI6JbiOgqo0zsLxEdvXjN1xKR4+fgevX/zYv+XUlE\nHyGi3Y260fjv8t2o+zMiWiCivYyycr4rpar/Q7e4fB/AQQDWA7gSwOF9jC3wcV8ARy2+3hXA9wAc\nDuAvAbxysfx0AG9afP1gAN9AJ5Hdb/H6aATX8TIA7wNw0eL7yfgP4B8APG/x9ToAe0zF/8W5/QMA\nGxbffxDAc8bsP4BHAzgKwFVGmdhfAF8F8PDF158CcNyA/j8RwJrF128C8MYx+u/yfbH8AACXALge\nwF6LZQ8q6XtfTJ/zBa9BoZS6WS3+dIRS6k4AV6P7AE4E8I+Lzf4RgP4i+AkALlRKbVNK/ReA69Bd\n52AgogMAPAWA+VNuk/B/kZE9Ril1PgAs+nU7JuI/gJ8D2AJgFyJaB2AndN9XGa3/SqkvAfiZVSzy\nl4j2BbCbUkr/32X/ZPSpCpf/SqnPKaX0N2C+gu4ZBkbmv+feA8BfA3iFVXYiCvreV9DnfMFrNCCi\n+6Fbhb8CYB+1eBJJKXUzAH2KWfSFtJ6gJ4yZqJmK/wcD+AkRnb8oT51LRDtjIv4rpX4G4G0Afrjo\ny+1Kqc9hIv4b2Fvo7/7onmeNMT3bz0fHfoEJ+E9EJwC4USn1LauqqO+D/LTymEFEuwL4MID/tcj4\n7Uz3KDPfRPSbAG5Z3K2EjsaO0n90W9ejAfyNUup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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11024e090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sig = img[550,:, 1]\n",
    "plot(sig)\n",
    "sig.dtype"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Multiplying the obtained signal with a cosine oscillator and then writing it to an output file.\n",
    "The obtained signal is made to go through amplitude modulation , by multiplying it with a cosine function, in order to modify the audio to get a dip and rise in the audio ,and hence a different more visibly variable audio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio controls=\"controls\" >\n",
       "                    <source src=\"data:audio/wav;base64,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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ce3f6d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wt = linspace(0, pi, 1280)\n",
    "ossilation=cos(wt)\n",
    "audioout = array(((img[550,:,0].astype(int16))))\n",
    "final2=audioout*ossilation\n",
    "plot(final2)\n",
    "\n",
    "\n",
    "wavfile.write('output1.wav', 441000, final1)\n",
    "IPython.display.Audio (data=final2, filename=None, url=None, embed=True, rate=44100, autoplay=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Performing the same function but on the flattened array of the image above.\n",
    "This is done so as to realise what the complete image would sound like instead of just one coloum of the image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio controls=\"controls\" autoplay=\"autoplay\">\n",
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